diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/2dqfdffhKjU_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/2dqfdffhKjU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1b952240e83eb063b8588e9aec40a79af9e95846
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/2dqfdffhKjU_postprocess.srt
@@ -0,0 +1,1892 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,210 --> 00:00:15,010
+بسم الله الرحمن الرحيم نكمل ما ابتدأنا بيه في
+
+3
+00:00:15,010 --> 00:00:20,570
+المرة الماضية وهو الاختبار الثاني بالاختبارات من
+
+4
+00:00:20,570 --> 00:00:25,910
+خلال أبلغكم على series هل هي converge او diverge
+
+5
+00:00:25,910 --> 00:00:31,610
+طبعا أخدنا المرة الماضية ال integral test ونصه كان
+
+6
+00:00:31,610 --> 00:00:36,750
+عندنا ال series with positive terms بدي أشيل كل n
+
+7
+00:00:36,750 --> 00:00:42,370
+في الحد اللوني في ال seriesوحط بدل المتغير X يبقى
+
+8
+00:00:42,370 --> 00:00:48,750
+صارت علنا function F of X هذه ال functions لو كانت
+
+9
+00:00:48,750 --> 00:00:54,630
+positive و continuous و decreasing يبقى تحققت
+
+10
+00:00:54,630 --> 00:01:00,150
+الشروط التلاتة لكل N اللي أكبر من كرت ال N حيث N
+
+11
+00:01:00,150 --> 00:01:06,880
+أي رقم صحيح تتحقق من عنده الشروط التلاتة ثلاثةيبدأ
+
+12
+00:01:06,880 --> 00:01:11,700
+إذا تحققت الشروط التلاتة بقدر استخدام ال test
+
+13
+00:01:11,700 --> 00:01:15,600
+integral ال test integral هو التكمل اللي بستخدمه
+
+14
+00:01:15,600 --> 00:01:20,060
+هو improper integral فإن كان ال improper integral
+
+15
+00:01:20,060 --> 00:01:23,360
+converge يبقى ال series converge وإن كان ال
+
+16
+00:01:23,360 --> 00:01:27,120
+improper integral diverge فإن ال series diverge
+
+17
+00:01:27,120 --> 00:01:32,140
+واخدنا على ذلك ثلاثة أمثلة و اليوم بنكمل هذه
+
+18
+00:01:32,140 --> 00:01:37,890
+الأمثلة يبقى جينا للمثال رقم أربعيبقى بدي أشيل كل
+
+19
+00:01:37,890 --> 00:01:42,930
+N و أحط مكانها X و أسمي ال function اللي عندنا ليه
+
+20
+00:01:42,930 --> 00:01:53,910
+من F of X يبقى ال F of X يساوي واحد على X في لن ال
+
+21
+00:01:53,910 --> 00:01:56,850
+X لكل تربيع
+
+22
+00:01:59,850 --> 00:02:05,330
+وأقارنها من عندي اتنين فما فوق، هل يتدل اللي عندنا
+
+23
+00:02:05,330 --> 00:02:10,190
+هذه positive و continuous و decreasing من عند
+
+24
+00:02:10,190 --> 00:02:16,650
+اتنين فصعدا او لا؟ تعالى نشوفلو كانت X بـ0 بصير
+
+25
+00:02:16,650 --> 00:02:21,730
+الدالة مش معرفة X برا لأنه لبادة من عنده اتنين لو
+
+26
+00:02:21,730 --> 00:02:26,330
+كانت X بواحد الدالة غير معرفة لبادة من عنده اتنين
+
+27
+00:02:26,330 --> 00:02:29,450
+يبقى ماليش علاقة لا بـ0 ولا بالواحد إلي علاقة من
+
+28
+00:02:29,450 --> 00:02:34,250
+اتنين فصاعدا إذا من اتنين فصاعدا هذه قيم وجبات
+
+29
+00:02:34,250 --> 00:02:39,430
+اتنين الدالة معرفة تمام يبقى هذه positive
+
+30
+00:02:42,910 --> 00:02:50,970
+and continuous وده المتاصلة لكل ال X اللي أكبر من
+
+31
+00:02:50,970 --> 00:02:55,630
+أو يساوى اتنين تمام؟ يبقى ايه؟ صارت positive
+
+32
+00:02:55,630 --> 00:02:59,450
+continuous بقى يا عزيزي دوس ال decreasing قدامي
+
+33
+00:02:59,450 --> 00:03:05,070
+طريقين طريق الأول أشتاق وهذا بلجأ له إن كان البص
+
+34
+00:03:05,070 --> 00:03:09,670
+والمقام متغير لكن إن كان البص مقدار ثابت ولا بد
+
+35
+00:03:09,670 --> 00:03:15,850
+اشتاق ولا حاجةبعمل مقارنة ما بين الحد النوني اللي
+
+36
+00:03:15,850 --> 00:03:21,670
+هو واحد على ان لان الان الكل تربية والحد النوني
+
+37
+00:03:21,670 --> 00:03:28,830
+زائد واحد وهو واحد على ان زائد واحد لان الان زائد
+
+38
+00:03:28,830 --> 00:03:35,950
+واحد الكل تربية طبعا الأولاني هذا مقامه عقل مدام
+
+39
+00:03:35,950 --> 00:03:41,140
+مقامه عقل يبقى الكاسر هذا مالهأكبر من الكثر هذا
+
+40
+00:03:41,140 --> 00:03:47,020
+يعني لحد انني صار أكبر من الحد انني زاد واحد يبقى
+
+41
+00:03:47,020 --> 00:03:52,680
+هذا ال series decreasing يبقى هذه الصارة تانية ما
+
+42
+00:03:52,680 --> 00:03:58,240
+لها decreasingما دام decreasing إذا ال function
+
+43
+00:03:58,240 --> 00:04:03,420
+هذه decreasing إذا تحققت الشروط التلاتة إذا بقدر
+
+44
+00:04:03,420 --> 00:04:11,380
+استخدم ال integral من اتنين ل infinity لاحد على x
+
+45
+00:04:11,380 --> 00:04:17,620
+لأن ال x الكل تربيه يعضي xإذا بدل ما كنا بنشتغل
+
+46
+00:04:17,620 --> 00:04:22,680
+series هنشتغل تكامل الآن هذا improper integral من
+
+47
+00:04:22,680 --> 00:04:28,760
+النوع الأول نظرا لوجود ال infinityإذا ال limit
+
+48
+00:04:28,760 --> 00:04:34,260
+integration من اتنين لغاية بيه لما بيه ten to
+
+49
+00:04:34,260 --> 00:04:42,100
+infinity لمين؟ طلعلي لهابة هيك واحد على X DX مشتقت
+
+50
+00:04:42,100 --> 00:04:49,170
+لإن ال X يبقى هذا بقدر أكتب ال D لإن ال Xعلى لن ال
+
+51
+00:04:49,170 --> 00:04:56,150
+X الكل تربية وكأنه احنا بدنا نكامل DY على Y تربية
+
+52
+00:04:56,150 --> 00:05:02,190
+يعني واحد على Y تربية DY طبعاً نبقى سالب واحد على
+
+53
+00:05:02,190 --> 00:05:07,070
+Y يعني سالب واحد على لن ال X لما B tends to
+
+54
+00:05:07,070 --> 00:05:13,070
+infinity اللي سالب واحد على لن ال X بالشكل لأن هذا
+
+55
+00:05:13,070 --> 00:05:20,720
+والكلام هذا من اتنين لغاية Bهذا بده يساوي هذا ال
+
+56
+00:05:20,720 --> 00:05:26,460
+limit لما B tends to infinity و I السالب و بيجي
+
+57
+00:05:26,460 --> 00:05:34,780
+هنا واحد على لن ال B ناقص واحد على لن اتنينالان
+
+58
+00:05:34,780 --> 00:05:38,920
+لما بيبدأ تروح للماء لنهاية بيبقى المقام بماء
+
+59
+00:05:38,920 --> 00:05:44,780
+لنهاية عدد على ماء لنهاية بيزير و بيظهر سالب سالب
+
+60
+00:05:44,780 --> 00:05:51,280
+بيصير موجب واحد على لن اتنين اذا يعطاني قيمة عددية
+
+61
+00:05:51,280 --> 00:05:57,500
+مدام يعطاني قيمة عددية ستتكامل من اتنين لإنفينيتي
+
+62
+00:05:57,500 --> 00:06:04,640
+لواحد على اكس لن اكس الكل تربية DX convertما دام
+
+63
+00:06:04,640 --> 00:06:12,960
+هو هذا الـ Convergent بقوله By the integral test
+
+64
+00:06:12,960 --> 00:06:21,160
+باستخدام اختبار التكامل ال series الأصلية
+
+65
+00:06:21,160 --> 00:06:27,600
+Convergent هنا من المثل هذا طيب
+
+66
+00:06:27,600 --> 00:06:36,430
+السؤال الخامسسؤال الخامس بيقول لي summation من n
+
+67
+00:06:36,430 --> 00:06:43,630
+equal one to infinity لمن؟ لل E أس N واحد زائد E
+
+68
+00:06:43,630 --> 00:06:49,450
+أس اتنين N بنفس
+
+69
+00:06:49,450 --> 00:06:57,460
+الطريقة، بدنا ناخد ال F of Xبدي يساوي EOSX على 1
+
+70
+00:06:57,460 --> 00:07:04,520
+زائد E أقصى 2X عمر البث في و الله المقام بياخد
+
+71
+00:07:04,520 --> 00:07:09,100
+قيمة سالبة يبقى دي positive على كل ال exponential
+
+72
+00:07:09,100 --> 00:07:14,520
+عمره بياخد قيمة سالبة إذا هذه موجة بقى تمام في
+
+73
+00:07:14,520 --> 00:07:16,700
+مقام ممكن ياخد zero
+
+74
+00:07:21,400 --> 00:07:28,180
+معرفة for all x بلا استثناء يبقى اليسارات positive
+
+75
+00:07:28,180 --> 00:07:36,900
+and continuous
+
+76
+00:07:36,900 --> 00:07:40,400
+for
+
+77
+00:07:40,400 --> 00:07:47,180
+all x which is greater than or equal to oneظلت قصة
+
+78
+00:07:47,180 --> 00:07:52,560
+الـ decreasing ال bus متغير والمقام متغير ماليش
+
+79
+00:07:52,560 --> 00:08:02,060
+الا اشتق اذا لو روحنا اخدنا f prime of x المقام في
+
+80
+00:08:02,060 --> 00:08:10,340
+مشتقة ال bus ناقص ال bus في مشتقة المقام كله على
+
+81
+00:08:10,340 --> 00:08:17,040
+مربع المقام الأصلي كل تربيةطيب نقدر نختصر هذا
+
+82
+00:08:17,040 --> 00:08:22,680
+المقدار ونشوف المقام كما هو واحد زائد E أس اتنين
+
+83
+00:08:22,680 --> 00:08:29,880
+ال X لكل تربية هذا E أس X زائد E أس تلاتة X ناقص
+
+84
+00:08:29,880 --> 00:08:37,960
+اتنين E أس تلاتة X يبقى E أس X ناقص E أس تلاتة X
+
+85
+00:08:37,960 --> 00:08:45,200
+واحد زائد E أس اتنين X لكل تربيةهندك E أوس ثلاثة X
+
+86
+00:08:45,200 --> 00:08:49,240
+بالموجب ونقص اتنين E أوس ثلاثة X بيظل نقص E أوس
+
+87
+00:08:49,240 --> 00:08:56,020
+ثلاثة X ممكن اكتب هذا بالشكل التالي واحد زائد E
+
+88
+00:08:56,020 --> 00:09:01,740
+أوس اتنين X لكل تربيع وهدي اخد منها E أوس X عامل
+
+89
+00:09:01,740 --> 00:09:08,320
+مشترك بيظل واحد ناقص E أوس اتنين X بالشكل اللي
+
+90
+00:09:08,320 --> 00:09:13,990
+عندنا هذا طلعله هنا كويسةالـ exponential هذه
+
+91
+00:09:13,990 --> 00:09:20,970
+موجبة، دائما و أبدا، هذا المقام كذلك معله موجب
+
+92
+00:09:20,970 --> 00:09:25,250
+دائما و أبدا، تمام؟ إذا المشكلة وين؟ أو اللي بدي
+
+93
+00:09:25,250 --> 00:09:30,780
+أحدد الإشارة المقدار بين القوسينأحنا الصممش البدي
+
+94
+00:09:30,780 --> 00:09:35,660
+بينامنا من عند N تساوي واحد طب لو حطيت ال X هنا
+
+95
+00:09:35,660 --> 00:09:42,360
+بواحد بيصير واحد ناقص E تربية موجة والله سالبة
+
+96
+00:09:42,360 --> 00:09:50,220
+سالبة يبقى هذه أقل من ال zero لكل ال X اللي أكبر
+
+97
+00:09:50,220 --> 00:09:56,960
+من أو تساوي من الواحد هذا يعني ان ال functionis
+
+98
+00:09:56,960 --> 00:10:05,680
+decreasing يبقى هنا هذا يعني ال F is decreasingلكل
+
+99
+00:10:05,680 --> 00:10:11,740
+ال X أكبر من أو تسوى من الواحد إذا تحققت الشروط
+
+100
+00:10:11,740 --> 00:10:17,420
+التلاتة عندي في آن واحد مدام تحققت الشروط إذا بقدر
+
+101
+00:10:17,420 --> 00:10:24,800
+أخد منهم تكامل من واحد إلى infinity لل E أس X واحد
+
+102
+00:10:24,800 --> 00:10:27,480
+زائد E أس اتنين X
+
+103
+00:10:30,580 --> 00:10:35,480
+يبقى اليمي التكامل من 1 الى B لما B tends to
+
+104
+00:10:35,480 --> 00:10:42,320
+infinity طلع ليه كويس الان ال E Os X DX مشتقة ال
+
+105
+00:10:42,320 --> 00:10:47,080
+exponential بال exponential itself يبقى هذه بيصير
+
+106
+00:10:47,080 --> 00:10:54,330
+E E Os X وهذه مشتقتهايبقى شيلت ال bus هذا كله و
+
+107
+00:10:54,330 --> 00:11:02,410
+كتبته مشتقة ال EO6 المقام واحد زائد EO6 لكل تربيع
+
+108
+00:11:02,410 --> 00:11:08,110
+يبدأ احنا كأننا بنكامل DY على واحد زائد Y تربيانهم
+
+109
+00:11:08,110 --> 00:11:13,710
+ايه؟ tan inverse ممتاز يبقى هذا ال limit لما B
+
+110
+00:11:13,710 --> 00:11:19,330
+tends to infinity لtan inverse EO6
+
+111
+00:11:21,070 --> 00:11:25,970
+العوض بحدود التكامل يبقى limit لما B tends to
+
+112
+00:11:25,970 --> 00:11:33,010
+infinity ل tan inverse طبعا هنا حدود التكامل من 1
+
+113
+00:11:33,010 --> 00:11:42,650
+إلى B tan inverse E أُس B ناقص tan inverse E أُس 1
+
+114
+00:11:42,650 --> 00:11:47,550
+و ال limit للي اتنين يبقى هذا الكلام بالدرس يعني
+
+115
+00:11:47,550 --> 00:11:52,970
+ال E أُس infinityيعني اتنين وسبعة من عشر inverse
+
+116
+00:11:52,970 --> 00:11:56,990
+infinity ب infinity tan inverse infinity بπاي على
+
+117
+00:11:56,990 --> 00:12:05,030
+اتنين هذا باي على اتنين ناقص tan inverse E هذا كله
+
+118
+00:12:05,030 --> 00:12:10,410
+يعتبر ايه؟ رقما واحدة يبقى بناء عليه التكامل
+
+119
+00:12:11,120 --> 00:12:16,560
+Convert يبقى هذا بده يعطينا تكامل من واحد إلى
+
+120
+00:12:16,560 --> 00:12:24,940
+infinity لل EO6 واحد زائد E أس اتنين X DX Convert
+
+121
+00:12:24,940 --> 00:12:36,120
+مدام Convert بقوله by the integral test the series
+
+122
+00:12:48,680 --> 00:12:51,820
+وانتهينا من هذه المسألة
+
+123
+00:13:08,670 --> 00:13:18,250
+بنجي لمثال رقم ستة يبقى ستة summation من N equal
+
+124
+00:13:18,250 --> 00:13:30,430
+one to infinity لسيش square N ماذا
+
+125
+00:13:30,430 --> 00:13:36,920
+كريم وانحنسش والله كله كلام كله كلامطيب ماجهيك مش
+
+126
+00:13:36,920 --> 00:13:42,040
+قدمت فيه امتحان PGA قارة و نجحت فيه؟ طيب على اي
+
+127
+00:13:42,040 --> 00:13:48,180
+حال لو حبيت بس اذكر تذكير بمنحنى السش هذا X هذا Y
+
+128
+00:13:48,180 --> 00:13:54,360
+هذا نقطة الأصل منحنى السش بيجي هيك و من هنا بنزل و
+
+129
+00:13:54,360 --> 00:13:59,980
+بيجي هيك تمام؟يبقى هذا بيجي بالشكل هذا، هذا zero
+
+130
+00:13:59,980 --> 00:14:06,820
+وهذا واحد صحيح، تمام؟ يعني ايش؟ اعلى ال X-axis
+
+131
+00:14:06,820 --> 00:14:12,920
+السش ال X دايما وابدا موجب ليش؟ لإن اتنين على E
+
+132
+00:14:12,920 --> 00:14:17,400
+والسكس زايد E اثناق السكس، المقام موجب والبص موجب،
+
+133
+00:14:17,400 --> 00:14:22,300
+فانا موجب، او لما اربيعها بصير سالم؟بتظلها موجة،
+
+134
+00:14:22,300 --> 00:14:26,940
+بيبقى هذه موجة بدائما و أبدا طيب فيلها
+
+135
+00:14:26,940 --> 00:14:32,100
+discontinuity على كل ال real line معرفة، أنا بديش
+
+136
+00:14:32,100 --> 00:14:36,800
+كل ال real line، بدي بس من عند الواحد و الواحد هي
+
+137
+00:14:36,800 --> 00:14:43,110
+الواحدوطيب يطلع من هنا يعني بدي الجزء هذا من ال
+
+138
+00:14:43,110 --> 00:14:49,230
+function يبقى positive و continuous لإن السش كلها
+
+139
+00:14:49,230 --> 00:14:54,710
+continuous أصلا تمام و decreasing هذا السش مش السش
+
+140
+00:14:54,710 --> 00:15:00,170
+square لكن أنا بدافع فعلا أن السش square كمان
+
+141
+00:15:00,170 --> 00:15:07,500
+decreasing يبقى باجي بقول هنا اللي هو f of xيساوي
+
+142
+00:15:07,500 --> 00:15:17,000
+سيش square X is positive and continue و الله هاه
+
+143
+00:15:17,000 --> 00:15:23,420
+مش لحظة احد يقول كيف جبت هذه يبقى سيش square X
+
+144
+00:15:23,420 --> 00:15:29,300
+اللي هي عبارة عن اتنين على EOS6 زائد EOS نقص X
+
+145
+00:15:29,300 --> 00:15:35,140
+الكل ترفيه هالها is positive
+
+146
+00:15:38,120 --> 00:15:47,920
+and continuous for all x أكبر من أو تسوى من الواحد
+
+147
+00:15:47,920 --> 00:15:54,160
+ضلت قصة ال decreasing يبقى بعدي بشتقها ال f prime
+
+148
+00:15:54,160 --> 00:16:01,660
+of x يسوى اتنين في سش ال x في تفاضل سش ال x له
+
+149
+00:16:01,660 --> 00:16:10,700
+كده؟ سالب سش تانش يبقى سالبسيش ال X في تانش ال X
+
+150
+00:16:10,700 --> 00:16:21,600
+يعني سالبي 2 سيش square X تانش ال X هدول إذا طلعوا
+
+151
+00:16:21,600 --> 00:16:27,400
+كلهم بالموجة ومسبقين بإشارة سالب يبقى كلها بصير
+
+152
+00:16:27,400 --> 00:16:32,810
+أقل من ال zero decreasingطلعني لهذه عمرها بتاخد
+
+153
+00:16:32,810 --> 00:16:37,250
+قيمة سالبة حتى لو كانت سالبة لما اتربعها بالصغير
+
+154
+00:16:37,250 --> 00:16:44,610
+يبقى هذه positive دائما و أبدا نجي لتانش لو رجعنا
+
+155
+00:16:44,610 --> 00:16:51,630
+لمنحنة التانشيبقى هذا محور X هذا محور Y هذا الـ
+
+156
+00:16:51,630 --> 00:16:56,670
+Zero لو جيت للخط اللي عندي هذا اللي هو واحد والخط
+
+157
+00:16:56,670 --> 00:17:01,170
+هذا اللي عندنا له مين سالف واحد ورسمنا منحنا
+
+158
+00:17:01,170 --> 00:17:05,890
+التانش بالشكل اللي عندنا هذا احنا من عند الواحد
+
+159
+00:17:05,890 --> 00:17:09,350
+جينا طالين يبقى من عند النقطة هذه و تعالى على
+
+160
+00:17:09,350 --> 00:17:15,350
+اليامين عمره بياخد قيمة سالفةيبقى I أعلى ال X X
+
+161
+00:17:15,350 --> 00:17:22,390
+زموجة يبقى كمان هذا positive ان ضربه في سالب يبقى
+
+162
+00:17:22,390 --> 00:17:28,930
+أقل من ال zero لكل ال X اللي أكبر من أو تساوي واحد
+
+163
+00:17:28,930 --> 00:17:36,890
+يبقى هنا ال سؤال F is decreasing لكل ال X اللي
+
+164
+00:17:36,890 --> 00:17:41,940
+أكبر من أو تساوي الواحدإذا تحققت الشروط التلاتة
+
+165
+00:17:41,940 --> 00:17:46,840
+بقدر استخدم ال test integral تكامل من 1 إلى
+
+166
+00:17:46,840 --> 00:17:53,840
+infinity لسيش square x dx and proper integral من
+
+167
+00:17:53,840 --> 00:17:58,900
+النوع الأول integration من 1 إلى b لما b tends to
+
+168
+00:17:58,900 --> 00:18:06,400
+infinity لسيش square x dx يبقى limit لما b tends
+
+169
+00:18:06,400 --> 00:18:12,280
+to infinityالآخر السؤال كيف بدنا نكامل سش سكوير
+
+170
+00:18:12,280 --> 00:18:17,000
+هذه؟ ولا
+
+171
+00:18:17,000 --> 00:18:22,480
+بده أرجع ولا بده أحول، تفضل وتنش بسش سكوير يعني،
+
+172
+00:18:22,480 --> 00:18:30,340
+بداش تفكير، يبقى هادر، تانش الأكس من واحد لغاية
+
+173
+00:18:30,340 --> 00:18:34,660
+اللي لسه بده يحول ويبدل ويغيره، هذه خربانة بالمرة
+
+174
+00:18:34,660 --> 00:18:40,330
+المصلعةيبقى هذا ال limit لما بي بدها تروح إلى
+
+175
+00:18:40,330 --> 00:18:48,290
+infinity لtan shall be ناقص tan shall one هذا اللي
+
+176
+00:18:48,290 --> 00:18:55,310
+بيبقى كده لما بي بدها تروح للمال لنهاية الدولة
+
+177
+00:18:55,310 --> 00:19:01,090
+بتروح لوين؟ بايتن برضه؟
+
+178
+00:19:01,090 --> 00:19:05,030
+هذا بيعني ورحمة انت ويه يعنيشايفين الرسم اللي
+
+179
+00:19:05,030 --> 00:19:12,750
+قدامك هذا؟ يبقى واحد، يبقى هذا ويستوي واحد ناقص
+
+180
+00:19:12,750 --> 00:19:21,080
+تانش الواحد، تمام؟لحد هنا تمام يبقى هذا رقم واحد
+
+181
+00:19:21,080 --> 00:19:26,200
+ماعجبوش قال لي بدي أطلع تنش الواحد قلنا له كيف؟
+
+182
+00:19:26,200 --> 00:19:32,060
+راح قال لي هذا واحد ناقص وراح قال لي يوس واحد ناقص
+
+183
+00:19:32,060 --> 00:19:38,600
+يوس ناقص واحد عليوس واحد زاد يوس ناقص واحد قلنا له
+
+184
+00:19:38,600 --> 00:19:42,560
+هذه والله هو عدد بضل في الآخر تحسبي براحتك يبقى
+
+185
+00:19:42,560 --> 00:19:48,900
+كله عددما دام عدد يبقى تكامل convert يبقى لنا سا
+
+186
+00:19:48,900 --> 00:19:56,420
+تكامل من واحد إلى infinity لسيش square x dx ما له
+
+187
+00:19:56,420 --> 00:20:07,220
+convert ما دام convert بقوله by the integral test
+
+188
+00:20:07,220 --> 00:20:09,400
+the series
+
+189
+00:20:20,830 --> 00:20:26,910
+ننتهينا من المثلة وبانتهاءنا من المثلة ننتهي من
+
+190
+00:20:26,910 --> 00:20:35,080
+التمرين يبقى وصلنا الى exercises عشرة تلاتةيبقى
+
+191
+00:20:35,080 --> 00:20:42,820
+exercises عشرة تلاتة المسائل التالية من واحد لغاية
+
+192
+00:20:42,820 --> 00:20:51,720
+واحد واربعين القدر بنضيف عليهم خمسة
+
+193
+00:20:51,720 --> 00:20:59,140
+وخمسين وستة وخمسين وتمانية وخمسين
+
+194
+00:21:05,350 --> 00:21:12,890
+بنروح ل section تمانية أربعة عشرة أربعة ولا يهم
+
+195
+00:21:12,890 --> 00:21:19,430
+خلاصنا من عشرة تلاتة لعشرة أربعة نقولكم comparison
+
+196
+00:21:19,430 --> 00:21:25,330
+tests اختبارات
+
+197
+00:21:25,330 --> 00:21:35,860
+المقارنة هذا ال section يحتوي على اختبارينالـ
+
+198
+00:21:35,860 --> 00:21:40,180
+Comparison Test والـ Limit Comparison Test زي ما
+
+199
+00:21:40,180 --> 00:21:43,700
+أخدنا في الـ Improper Integrals اللي هو الـ
+
+200
+00:21:43,700 --> 00:21:47,220
+Comparison Test والـ Limit Comparison Test هنا
+
+201
+00:21:47,220 --> 00:21:50,060
+هناخدهم على الـ Series زي ما أخدنا هناك على مين
+
+202
+00:21:50,060 --> 00:21:56,120
+على التكامل يبقى بيننا نيجي للاختبار الأول في هذا
+
+203
+00:21:56,120 --> 00:22:00,020
+اليوم نتعرض له المحاضرة القادمة نتعرض للاختبار
+
+204
+00:22:00,020 --> 00:22:07,940
+الثانييبقى بدنا نجي اللي هو ال comparison test
+
+205
+00:22:07,940 --> 00:22:16,000
+اختبار المقارنة نص على ما يأتي let summation على a
+
+206
+00:22:16,000 --> 00:22:27,200
+n و summation على c n and summation على d n ب
+
+207
+00:22:29,420 --> 00:22:43,400
+فهي سيريزة مع كلمات غير اقل غير
+
+208
+00:22:43,400 --> 00:22:51,220
+اقل كلمات افترض انه
+
+209
+00:22:51,220 --> 00:22:55,240
+for some integer n
+
+210
+00:22:59,020 --> 00:23:09,060
+integer capital M ال D N أقل من أو يساوي ال A N
+
+211
+00:23:09,060 --> 00:23:18,240
+أقل من أو يساوي ال C N for all N اللي أكبر من أو
+
+212
+00:23:18,240 --> 00:23:22,680
+تساوي N نمرأي
+
+213
+00:23:22,680 --> 00:23:23,260
+F
+
+214
+00:23:25,740 --> 00:23:34,160
+Summation على CN Converge
+
+215
+00:23:34,160 --> 00:23:40,260
+لو كانت summation على CN Converge then summation
+
+216
+00:23:40,260 --> 00:23:48,780
+على AN also converge نمر
+
+217
+00:23:48,780 --> 00:24:03,180
+بيه FSummation على DN Diverse Diverse then
+
+218
+00:24:03,180 --> 00:24:15,520
+Summation على AN also Diverse Examples
+
+219
+00:24:15,520 --> 00:24:21,880
+Test
+
+220
+00:24:43,820 --> 00:24:50,430
+أول سيريز من هذه السيريز ناملة واحدةSummation from
+
+221
+00:24:50,430 --> 00:24:55,670
+n equal one to infinity to cosine of square root
+
+222
+00:24:55,670 --> 00:25:01,270
+of n divided by n plus three divided by two بقول
+
+223
+00:25:01,270 --> 00:25:06,250
+مرة تانية في هذا ال section ناخد اختبارين لما ناخد
+
+224
+00:25:06,250 --> 00:25:11,410
+اختبارين ممكن نخلص نجداش اربع اختباراتالاختبار
+
+225
+00:25:11,410 --> 00:25:14,830
+الأول هو ال comparison test و ال limit comparison
+
+226
+00:25:14,830 --> 00:25:19,990
+test خلّينا المحاضرة القادمة ان شاء الله بيقول
+
+227
+00:25:19,990 --> 00:25:26,120
+اختبار ما ياتي افترض ان عندك تلاتة seriesAn وCn
+
+228
+00:25:26,120 --> 00:25:31,240
+وDn كل حدودهم ليست سالبة Series with non negative
+
+229
+00:25:31,240 --> 00:25:37,580
+terms افترض for some integer in Dn أقل من أو يساوي
+
+230
+00:25:37,580 --> 00:25:44,210
+An أقل من أو يساويC N لكل ال N اللي أكبر من أو
+
+231
+00:25:44,210 --> 00:25:49,050
+يساوي ال N ايش يعني جصده؟ خلّيك معاه احنا عندنا
+
+232
+00:25:49,050 --> 00:25:54,210
+تلاتة series جيت من عندها N تساوي واحد لجيت فعلا
+
+233
+00:25:54,210 --> 00:25:59,250
+ان ال D واحد اقل من A واحد بس ال A واحد مش اقل من
+
+234
+00:25:59,250 --> 00:26:03,890
+C واحد يابي يقول ال واحد صف على شجرة باخد ال N
+
+235
+00:26:03,890 --> 00:26:10,960
+باتنين جيت حطيت N باتنين لجيت D اتنينأقل من A2 لكن
+
+236
+00:26:10,960 --> 00:26:18,360
+A2 ماهياش أقل من C2 بلينكولاتي غير محققة صفعة شجة
+
+237
+00:26:18,360 --> 00:26:24,240
+روحتلا N تساوي تلاتة نفس الموضوع صفعة شجة N أربعة
+
+238
+00:26:24,240 --> 00:26:31,720
+نفس الموضوع عند N تساوي خمسة مثلالقيت فعلاً D خمسة
+
+239
+00:26:31,720 --> 00:26:37,420
+أقل من A خمسة أقل من C خمسة وخدها ستة وسبعة و
+
+240
+00:26:37,420 --> 00:26:42,000
+تمانية إلى مالة نهاية كله صحيح، يبقى باجي على
+
+241
+00:26:42,000 --> 00:26:46,940
+أربعة أول حدود وبقولهم ماع السلام مابتلزمونيش
+
+242
+00:26:47,510 --> 00:26:53,110
+تلزمونيش ما احنا خدنا في ال section الماضي انه شطب
+
+243
+00:26:53,110 --> 00:26:57,410
+عدد اللي جابله شطب عدد محدود من حدود ال series او
+
+244
+00:26:57,410 --> 00:27:01,450
+اضافته لا بيغير من وضع ال convergence ولا بيغير من
+
+245
+00:27:01,450 --> 00:27:07,410
+وضع ال divergence تمام؟ بقولك يا سيبجي بدي ابدا من
+
+246
+00:27:07,410 --> 00:27:12,750
+وين ده in capital مين ان in capital؟ لخمسة فمع فوق
+
+247
+00:27:13,020 --> 00:27:18,400
+أيوة فباجي بقول والله إذا كان summation على cin
+
+248
+00:27:18,400 --> 00:27:21,680
+converted باجي بطلع من cin
+
+249
+00:27:41,360 --> 00:27:46,960
+السؤال هو هل اختلف ال comparison test تبع ال
+
+250
+00:27:46,960 --> 00:27:49,820
+series عن ال comparison test تبع ال improper
+
+251
+00:27:49,820 --> 00:27:55,550
+integral؟اختلف في نهاية الصيغة هو هو بس بدل
+
+252
+00:27:55,550 --> 00:28:00,570
+التكامل حطينا series إذا لم يتغير شيء بالنسبة لكم
+
+253
+00:28:00,570 --> 00:28:05,490
+comparison test واضح كلامي؟ طيب حد بدي أسال أي
+
+254
+00:28:05,490 --> 00:28:07,290
+سؤال؟ أيوة اتفضل
+
+255
+00:28:13,170 --> 00:28:19,130
+بقول لو كانت CNN هادي باي باي، إيش رأيك فيها؟ إن
+
+256
+00:28:19,130 --> 00:28:24,590
+والله دي اللي أصغر منها، والله بني عارف، يمكن تكون
+
+257
+00:28:24,590 --> 00:28:28,890
+converge ويمكن تكون diver ليه احتماليا الورداد؟ لا
+
+258
+00:28:28,890 --> 00:28:34,010
+أستطيع الجزم بذلك، يعني بالبلد هيك بينه وبينك،
+
+259
+00:28:34,010 --> 00:28:39,150
+بنقول فشل اختبار المقارنة في الحكم على ال series
+
+260
+00:28:39,150 --> 00:28:45,880
+هل هي converge او diverماشي حاجة بدو يسأل تاني طيب
+
+261
+00:28:45,880 --> 00:28:50,400
+نبدأ نطبق هذا الاختبار على أسئلة عديدة السؤال
+
+262
+00:28:50,400 --> 00:28:54,340
+الأول بقول ال summation من n equal one to infinity
+
+263
+00:28:54,340 --> 00:28:59,780
+ل cosine ترابية ال N على N أس تلاتة على اتنى لحظة
+
+264
+00:28:59,780 --> 00:29:04,140
+النقطة الأولى صارت علاقة بين two series النقطة
+
+265
+00:29:04,140 --> 00:29:07,360
+التانية علاقة بين two series طب هو في المثل
+
+266
+00:29:07,360 --> 00:29:12,390
+مايعطانيش الا series واحدةيبجى انت بدك تروح تخلق
+
+267
+00:29:12,390 --> 00:29:17,090
+series تانية من المسألة اللى عندك و ال series
+
+268
+00:29:17,090 --> 00:29:23,570
+المخلقة بدك تكون عارفة هل هي converge او diverge
+
+269
+00:29:23,570 --> 00:29:28,510
+تمام؟ اه يعني انا من هنا من ال series هذه بدروح
+
+270
+00:29:28,510 --> 00:29:32,810
+اطلع series تانية و ال series تانية بدكون عارفة
+
+271
+00:29:32,810 --> 00:29:38,530
+convergeاو بايفير كيف بدي اطلعها شغل في ذاك انت
+
+272
+00:29:38,530 --> 00:29:42,650
+بعدين انا بفكر هو ال cosine تقريبا محصلة بين مين
+
+273
+00:29:42,650 --> 00:29:47,610
+ومين هذا فان الصفر الواحد يبدو هاجرقم مش هيأثر
+
+274
+00:29:47,610 --> 00:29:50,870
+عندي على وضع مين على وضع ال series اذا اللي بدي
+
+275
+00:29:50,870 --> 00:29:55,430
+اتحكم في ال series واحد على انقص تلاتة على اتنين
+
+276
+00:29:55,430 --> 00:29:59,550
+طب سؤال هو واحد على انقص تلاتة على اتنين converge
+
+277
+00:29:59,550 --> 00:30:00,930
+ولا diverge؟
+
+278
+00:30:04,810 --> 00:30:09,930
+مع الconverge بدي امشي اقل من ومع الdiverge بدي
+
+279
+00:30:09,930 --> 00:30:15,290
+امشي من زي ال M proper integral بالضبط تماما اذا
+
+280
+00:30:15,290 --> 00:30:22,290
+باجي لحد انوني اللي عندك وصين تربيع ال M على N أس
+
+281
+00:30:22,290 --> 00:30:27,850
+تلاتة على اتنين اجل وهي ال N أس تلاتة على اتنين
+
+282
+00:30:28,200 --> 00:30:33,300
+قداش أكبر قيمة بياخدها الكثاية التربية واحد يبقى
+
+283
+00:30:33,300 --> 00:30:40,860
+دايما و أبدا أقل من و قد يساوي واحد، مظبوط هيك؟
+
+284
+00:30:40,860 --> 00:30:45,280
+يبقى هذا دايما و أبدا كل حياته أقل منها، طب هاد ال
+
+285
+00:30:45,280 --> 00:30:51,110
+convert، هذا اللي أجل منهاconverge تبقى للنقطة
+
+286
+00:30:51,110 --> 00:30:55,450
+الأولى يعني إذا الكبيرة هذي converged يبقى اللي
+
+287
+00:30:55,450 --> 00:31:00,750
+أصغر منها converged من باب أولى بروح بقولاش but
+
+288
+00:31:00,750 --> 00:31:07,290
+ولكن صمشي لواحد على n أس تلاتة على اتنين من n
+
+289
+00:31:07,290 --> 00:31:14,490
+equal one to infinity converged P series السبب
+
+290
+00:31:14,490 --> 00:31:21,550
+becauseإن P تساوي 3 على 2 أكبر من الواحدة صحيحة
+
+291
+00:31:21,550 --> 00:31:26,470
+إذا ما قلتش converge و سكت جيبهم ما هو السبب في
+
+292
+00:31:26,470 --> 00:31:33,730
+انها converge ل P سيرس مدام هيك بروف أقوله باي ذا
+
+293
+00:31:53,730 --> 00:32:02,540
+سؤال اثنينبيقول لنمرى 2 summation من n equal one
+
+294
+00:32:02,540 --> 00:32:09,480
+to infinity لان اتنين زائد cosine ال N على الجدرى
+
+295
+00:32:09,480 --> 00:32:12,460
+التربية إلى N زائد تمانية
+
+296
+00:32:15,190 --> 00:32:18,770
+برضه بدي اشوف ال series هذي converge و لا diverge
+
+297
+00:32:18,770 --> 00:32:25,610
+بدي اخد الحد النوني اتنين زائد cosine ال N على
+
+298
+00:32:25,610 --> 00:32:32,250
+الجدرى التربية ل N زائد تمانى خلوا ذلك كويس بدي
+
+299
+00:32:32,250 --> 00:32:37,850
+اشوف مين اللي بدي اتحكم في سلوك هذه ال series
+
+300
+00:32:37,850 --> 00:32:45,770
+بعدين بطلع ال cosineأقصى قيمة بياخدها كده؟ واثنين،
+
+301
+00:32:45,770 --> 00:32:50,410
+إذا أقصى قيمة بياخدها الـBus هو تلاتة، بدأجي
+
+302
+00:32:50,410 --> 00:32:56,650
+للـBus نفسه أقل قيمة بياخدها الـCos كده؟ سالب واحد
+
+303
+00:32:56,650 --> 00:33:01,050
+واثنين، إذا الـBus محصور بين واحد وتلاتة دايما،
+
+304
+00:33:01,050 --> 00:33:06,990
+يعني يا عدد، يبقى قصتنا سهلة، بلنيجي على المقام،
+
+305
+00:33:06,990 --> 00:33:13,790
+من عند الـM، لا واحد، لا Infinityكل ما تكبر الان
+
+306
+00:33:13,790 --> 00:33:18,770
+من يتحكم التمانية والله ان يبقى تمانية مع السلم
+
+307
+00:33:18,770 --> 00:33:23,690
+نعتبرها مش موجودة بضل الرقم والله واحد على جذر
+
+308
+00:33:23,690 --> 00:33:26,590
+الان يعني واحد على ان قص نص
+
+309
+00:33:33,450 --> 00:33:38,970
+يبقى هذه اكبر من اه ال bus بده شغل و المقام بده
+
+310
+00:33:38,970 --> 00:33:42,470
+شغل تشتغلش في اتنين مع بعض يبقى نشتغل في ال bus
+
+311
+00:33:42,470 --> 00:33:46,090
+لغاية ما نوصل لحد معين خلصنا بروح أشتغل في المقام
+
+312
+00:33:46,090 --> 00:33:49,810
+او نشتغل في المقام في الأول ماعنا مشكلة بجبه و لو
+
+313
+00:33:49,810 --> 00:33:52,810
+حبيت أشتغل في ال bus من الأول يبقى المقام بدي
+
+314
+00:33:52,810 --> 00:33:58,290
+أخليه زي ما هو N زائد تمانية بده هذه احنا قولنا
+
+315
+00:33:58,290 --> 00:34:03,810
+أقصى قيمة بياخدها ال bus قداشروأقل قيمة إذا أقول
+
+316
+00:34:03,810 --> 00:34:10,250
+أكبر من تلاتةسيبقى هذا
+
+317
+00:34:10,250 --> 00:34:19,250
+أكبر من واحد وقد يساويه يبقى أكبر من واحد وقد
+
+318
+00:34:19,250 --> 00:34:25,450
+يساويه وبالتالي يبقى
+
+319
+00:34:25,450 --> 00:34:32,150
+بيكون خلصنا من قصة البصل السؤال هو هل هناك من
+
+320
+00:34:32,150 --> 00:34:38,050
+تساوي هنا؟أه ممكن ممكن الكثير يساوي السالب واحد
+
+321
+00:34:38,050 --> 00:34:44,830
+واتنين إذا بحط أكبر من أو يساوي ماشي أكبر من بضل
+
+322
+00:34:44,830 --> 00:34:55,770
+ماشي أكبر من واحد على جذر ال N صح هيك؟ صح مظبوط؟
+
+323
+00:34:56,600 --> 00:35:03,000
+طبعا؟ لا مش طبعا، مش صحيح، هذا مقامه أكبر، إذا هذا
+
+324
+00:35:03,000 --> 00:35:08,040
+أقل، مشيت أكبر، بدك تظلك ماشي أكبر، مش على كيفك،
+
+325
+00:35:08,040 --> 00:35:11,740
+تشبل بزوم ما بدك، مشيت أكبر، بدك تظلك أكبر، لما
+
+326
+00:35:11,740 --> 00:35:16,260
+تخلص الجثة هذه بالمرة تماما، كويس؟ يبقى باجي،
+
+327
+00:35:16,260 --> 00:35:23,460
+بقوله، بدي أحطها N زائد 9 صح، والله غلط، صح، بس
+
+328
+00:35:23,460 --> 00:35:29,670
+حلت المشكلة؟زاد عشرة، زاد أحد عشر، زاد مية، بالفعل
+
+329
+00:35:29,670 --> 00:35:35,550
+بدك تكتبها بدلالة المتغير اللي عندك تقدر تجمعهم مع
+
+330
+00:35:35,550 --> 00:35:44,250
+بعض يبقى زائد تمانية Nسؤال هو ممكن الاتنين هدول
+
+331
+00:35:44,250 --> 00:35:51,110
+يتساوى و لو مرة واحدة في التاريخ؟ بالمرة بتساووش؟
+
+332
+00:35:51,110 --> 00:35:56,510
+هدى N تساوي واحد تبع ال summation حط N بواحد بصير
+
+333
+00:35:56,510 --> 00:36:03,650
+هدى، إذا قد يتساوية، تمام؟ يبقى هدى بدها تساوي
+
+334
+00:36:03,650 --> 00:36:10,530
+واحد على N زائد تمانية Nتسعة ان التسعة تقلع من تحت
+
+335
+00:36:10,530 --> 00:36:17,230
+الجدر وبظل جدر الان اللي هو الان اص نص بقوله
+
+336
+00:36:17,230 --> 00:36:25,950
+بطولكن تلت summation لواحد على ان اص نص من ان
+
+337
+00:36:25,950 --> 00:36:29,790
+equal one to infinityالتلتة بيبثر على
+
+338
+00:36:29,790 --> 00:36:34,010
+الconvergence والdivergence؟ ما ليش علاقة، طيب يا
+
+339
+00:36:34,010 --> 00:36:42,310
+دي مالها؟ Divergence P Series السبب؟بسبب ان P
+
+340
+00:36:42,310 --> 00:36:50,690
+تساوي نص و النص أقل من الواحد الصحيح مدام دايفير
+
+341
+00:36:50,690 --> 00:36:56,910
+يبقى لي أكبر منها دايفير فبروح بقوله by the
+
+342
+00:36:56,910 --> 00:37:04,030
+comparison test the series summation للي اتنين
+
+343
+00:37:17,460 --> 00:37:23,140
+سؤال التالتيبقى و الله كويس هذا لا بلزمني أكامل
+
+344
+00:37:23,140 --> 00:37:27,500
+ولا positive ولا continuous ولا decreasing يبقى
+
+345
+00:37:27,500 --> 00:37:33,000
+بحط النتيجة على طول الخط سؤال التالت summation من
+
+346
+00:37:33,000 --> 00:37:42,740
+N equal to infinity لل N زائد 2 على N تربيع ناقص
+
+347
+00:37:42,740 --> 00:37:43,520
+ال N
+
+348
+00:38:09,150 --> 00:38:14,810
+مديني سؤال زي هيك و بدى امشي بنفس التفكير السابق
+
+349
+00:38:14,810 --> 00:38:19,690
+يمجي باجي بقول الحد انوني N زائدي اتنين على N
+
+350
+00:38:19,690 --> 00:38:26,930
+تربيع ناقص Nطبعا الكبير هنا هو N، اعتبر ال N مش
+
+351
+00:38:26,930 --> 00:38:31,330
+موجود، الكبير هنا N تربية، اعتبر ال N هذا مش
+
+352
+00:38:31,330 --> 00:38:38,240
+موجود، ابقى ال N علىيعني واحد على N لومين Diverge
+
+353
+00:38:38,240 --> 00:38:42,020
+Harmonic Series صح ولا لأ؟ summation على واحد عنه
+
+354
+00:38:42,020 --> 00:38:45,580
+Diverge Harmonic Series المدافع Diverge ما بده
+
+355
+00:38:45,580 --> 00:38:54,920
+يمشي أكبر من ولا أقل يبقى greater than N على N
+
+356
+00:38:54,920 --> 00:39:03,310
+تربية نقص N مظبوط هيك المقام هو نفسهو ال bus أكبر
+
+357
+00:39:03,310 --> 00:39:10,710
+من ال bus هذا بمقدار اتنين صح؟ طيب هذا أكبر من N
+
+358
+00:39:10,710 --> 00:39:19,490
+على N تربية صح كلامك ذاك؟ لأ طب ما هو الصح؟ صح صح
+
+359
+00:39:19,490 --> 00:39:22,550
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+360
+00:39:22,550 --> 00:39:22,930
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+361
+00:39:22,930 --> 00:39:23,650
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+362
+00:39:23,650 --> 00:39:25,390
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+363
+00:39:25,390 --> 00:39:28,550
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+364
+00:39:28,550 --> 00:39:34,110
+صح صبطال فنسترجع طب و احنا موافقين الرقم هذا
+
+365
+00:39:34,110 --> 00:39:39,210
+انتباهي لما تطرح منه بيصغر وبالتالي الكثر بيكبر
+
+366
+00:39:39,210 --> 00:39:43,810
+يبقى فعلا الكثر بقى بس لو كانت هذه زائد فالكلام
+
+367
+00:39:43,810 --> 00:39:50,800
+غلطيبقى فعلا هذي أكبر من هذي هذي تساوي كتير واحد
+
+368
+00:39:50,800 --> 00:39:57,460
+على ان بقول بط ولكن summation واحد على ان هي
+
+369
+00:39:57,460 --> 00:40:06,080
+diverse harmonic series by the comparison test
+
+370
+00:40:20,810 --> 00:40:23,190
+السؤال الرابع
+
+371
+00:40:29,710 --> 00:40:37,550
+من N equal one to infinity لعشرة N plus one عشرة N
+
+372
+00:40:37,550 --> 00:40:44,330
+plus one على N في N زائد واحد في N زائد اتنين
+
+373
+00:40:47,040 --> 00:40:54,340
+بارضه بدي اخد الحد النوني هي عشرة N زائد واحد على
+
+374
+00:40:54,340 --> 00:41:01,260
+N في N زائد واحد في N زائد اتنين وبدي اشوف حالي
+
+375
+00:41:01,260 --> 00:41:07,310
+بدي امشي اقل من ولا اكبر منأظن الباص لو شيلنا
+
+376
+00:41:07,310 --> 00:41:11,770
+العشر لو شيلنا الواحد مش مشكلة لا أثرش عندي يبقى
+
+377
+00:41:11,770 --> 00:41:16,690
+بقى عندي في الباص قداش ان هنا بدي أشيل اتنين
+
+378
+00:41:16,690 --> 00:41:20,650
+والواحد بيصيري بيصيري عندي في المقام انت كده في
+
+379
+00:41:20,650 --> 00:41:26,630
+الباص ان بقى الواحد اللي هي مينConvert يبقى بدم
+
+380
+00:41:26,630 --> 00:41:34,730
+شمال أقل من تمام التمام يبقى هذه أقل من عشرة N
+
+381
+00:41:34,730 --> 00:41:43,610
+زائد واحد على N في N في N مفجئين هيك؟ و ليش البصر؟
+
+382
+00:41:43,610 --> 00:41:47,130
+القرآن نزل من السماية يا ابني لجابله اشتغال موظف
+
+383
+00:41:47,130 --> 00:41:51,050
+مراعب يشتغل في المقاموين ما بدك تشتغل اشتغل فى
+
+384
+00:41:51,050 --> 00:41:55,510
+البصمة مقام بس بحيث يكون شغلك صحيح تمام؟ يبقى
+
+385
+00:41:55,510 --> 00:41:58,230
+ميمنوش مين ابدا فى البصمة اللى فى المقام بهم الشغل
+
+386
+00:41:58,230 --> 00:42:02,650
+يكون صحيح طيب المرة انا اشتغل فى المقام هذا مقامه
+
+387
+00:42:02,650 --> 00:42:07,350
+اكبر اذا الكثر هذا كله اقل من مين؟ من الكثر اللى
+
+388
+00:42:07,350 --> 00:42:16,810
+عندنا طيبهذا أقل من، مين؟ هذا كله انت كيف؟ وهذا
+
+389
+00:42:16,810 --> 00:42:19,970
+عشرة ان، صحيح؟
+
+390
+00:42:25,560 --> 00:42:30,460
+غلط، البصة ده أكبر من البصة ده، إذا لا يمكن الكثر
+
+391
+00:42:30,460 --> 00:42:36,520
+يكون أقل، يبقى كلام خطأ، بنخليه صح، بدل الواحد بحط
+
+392
+00:42:36,520 --> 00:42:43,420
+إيه؟ ثلاثةاربع مالحلتش المشكلة بيبقى حط بدلال تمين
+
+393
+00:42:43,420 --> 00:42:47,920
+المتغير اللي عندى عشان اقدر اجمعهم مع بعض و اتخلص
+
+394
+00:42:47,920 --> 00:42:54,140
+المثل ابتبعتنا يبقى عشرة N زائد N ال summation بدأ
+
+395
+00:42:54,140 --> 00:42:59,440
+من هنا شبابيبقى عند ال into سواء واحد هدول بيسووا
+
+396
+00:42:59,440 --> 00:43:07,720
+بعض صح ولا لا؟ إذا هذا بقول أقل من و قد يساوي يبقى
+
+397
+00:43:07,720 --> 00:43:16,100
+هذا بيصير 11 N على N تكيب يبقى 11 على N تربيع
+
+398
+00:43:16,100 --> 00:43:25,010
+بقوله بطوى لكن 11 summation 1 على N تربيعمن n
+
+399
+00:43:25,010 --> 00:43:33,590
+equal one to infinity converge P series because ال
+
+400
+00:43:33,590 --> 00:43:40,070
+P يساوي اتنين اللي هو اكبر من الواحد الصحيح by the
+
+401
+00:43:40,070 --> 00:43:47,570
+comparison test the series اللي هي summationمن N
+
+402
+00:43:47,570 --> 00:43:52,810
+equal one to infinity لعشرة N plus one على N في N
+
+403
+00:43:52,810 --> 00:44:01,830
+plus one N plus two converge كذلك حتى
+
+404
+00:44:01,830 --> 00:44:08,350
+لو يكون الأسئلة بسيطة أو مباشرة نبدأ نخفف شوية و
+
+405
+00:44:08,350 --> 00:44:16,410
+لا نتجل شويةخفف وانتقل وانت تحكم لوحدك summation
+
+406
+00:44:16,410 --> 00:44:23,250
+من n equal one to infinity لجذر ال n على اتنين
+
+407
+00:44:23,250 --> 00:44:30,810
+زائد لن ال n بدنا
+
+408
+00:44:30,810 --> 00:44:38,110
+ناخد الحد اللوني يبقى هذا جذر ال n على اتنين زائد
+
+409
+00:44:38,110 --> 00:44:44,760
+لن ال n وبدأ افكركيف بدي أمشي؟ بقول لو شيلنا اتنين
+
+410
+00:44:44,760 --> 00:44:50,960
+بقى ال search عندي، تمام؟ يبقى ضال عندي جذر ال N
+
+411
+00:44:50,960 --> 00:44:56,420
+على لن ال N، في اختصارات، فيش اختصارات، لكن لو
+
+412
+00:44:56,420 --> 00:45:04,850
+استبدلت لن ال N بأقرب رقم موجود عندي، اللي هو 2ان
+
+413
+00:45:04,850 --> 00:45:11,270
+نفسه صح ولا لأ ان هو اقرب شغل عندي لان الان يمكن
+
+414
+00:45:11,270 --> 00:45:17,610
+من خلالها نحل مشكلتنا هذه فبعدين بقول لو شلت اتنين
+
+415
+00:45:17,610 --> 00:45:24,590
+و حطيت مكان الان ان انبصير N أُص نُص على N يعني
+
+416
+00:45:24,590 --> 00:45:30,110
+واحد على N أُص نُص، diverge ولا convert؟ diverge
+
+417
+00:45:30,110 --> 00:45:34,350
+مع ال diverge بدأ ماشي مين؟ أكبر من يبقى هذا صار
+
+418
+00:45:34,350 --> 00:45:39,130
+صعب شوية مش زي اللي جابله، يحتاج إلى تفكير أكثر
+
+419
+00:45:39,130 --> 00:45:44,730
+وعمق أكثر، طب واحد يقولي طب لو حطيت N تربيع، بقوله
+
+420
+00:45:44,730 --> 00:45:48,690
+مين اللي أجرب على لن ال N؟ هي ال N والله N تربيع
+
+421
+00:45:49,320 --> 00:45:54,840
+لأن أقرب إذا انتصرت تفكيره تفكير ماله خاطق وبعيد
+
+422
+00:45:54,840 --> 00:45:59,180
+عنه يعني إذا ما ضبطتش ال N بروح لل N تربية اللي
+
+423
+00:45:59,180 --> 00:46:04,320
+بقول عليها هذه يعني إذا فشت القصة باستبدال لن ال N
+
+424
+00:46:04,320 --> 00:46:11,300
+ب N بروح ل N تربية هذه إذا بقدر أقول هذه أكبر من
+
+425
+00:46:11,300 --> 00:46:17,500
+جذر ال N على 2 زائد N صحيح يا شباب؟
+
+426
+00:46:25,520 --> 00:46:46,200
+السؤال هو ممكن
+
+427
+00:46:46,200 --> 00:46:53,360
+يحدث تساوي فيما بينهما؟يحصل تساوي؟ انسى الموضوع
+
+428
+00:46:53,360 --> 00:46:57,900
+على الإطلاق لإن العدد عظمه هيساوي العدد يبقى فيش
+
+429
+00:46:57,900 --> 00:47:04,360
+إمكانية بقوله كويس مشيت أكبر منه بدك تكمل أكبر منه
+
+430
+00:47:04,360 --> 00:47:11,640
+هدى N أص نص وعلى M مظبوط
+
+431
+00:47:11,640 --> 00:47:21,020
+هك؟ شيلت اتنين يعني بسغالب لأن هذا مقامه أكبر يبقى
+
+432
+00:47:21,020 --> 00:47:26,280
+أقل، ماشيت أكبر بدك تبقى ماشي أكبر بسيطة، باجي
+
+433
+00:47:26,280 --> 00:47:33,500
+اتنين هذه و بكتب هاتنين انيبقى هدول ممكن يتساوي
+
+434
+00:47:33,500 --> 00:47:38,960
+وين عند الواحد غير ايه اكبر منه اذا هذا greater
+
+435
+00:47:38,960 --> 00:47:45,340
+than or equal تمام؟ يبقى هذا الكلام بدي يتساوي N
+
+436
+00:47:45,340 --> 00:47:53,340
+أص نص على تلاتة N يعني واحد على تلاتة N أص نص
+
+437
+00:47:53,340 --> 00:47:56,280
+بقوله but ولكن
+
+438
+00:48:05,120 --> 00:48:14,120
+السبب ان P تساوي نص و نص معناه اقل من واحد الصحيح
+
+439
+00:48:14,120 --> 00:48:18,900
+by the comparison test
+
+440
+00:48:21,350 --> 00:48:29,310
+الهمين summation لل square root لل N على اتنين زاد
+
+441
+00:48:29,310 --> 00:48:39,710
+ان ال N من N equal one to infinity مالها diverge
+
+442
+00:48:39,710 --> 00:48:49,030
+اخر
+
+443
+00:48:49,030 --> 00:48:55,750
+سؤالبس لشانه سهل يعني و صغير مانعش نكبره عليكم
+
+444
+00:48:55,750 --> 00:49:05,250
+يبقى ستة summation من n equal one to infinity لإن
+
+445
+00:49:05,250 --> 00:49:13,070
+ال n plus one على n plus one
+
+446
+00:49:13,070 --> 00:49:19,790
+بدي أخد الحد إنوني لإن n plus one على n plus one
+
+447
+00:49:20,670 --> 00:49:25,630
+وبدي افكر كيف بدي اقارن بقول لو الواحد مش موجود
+
+448
+00:49:25,630 --> 00:49:31,870
+هذا بضل ان الان علي ان صح ولا لا اضرب واحد عليهم
+
+449
+00:49:31,870 --> 00:49:38,150
+واحد علي ان صح؟ واحد علي ان طيبين إذا بدنا نمشي
+
+450
+00:49:38,150 --> 00:49:46,070
+مين؟ أكبر من طيب هل هذا أكبر من واحد علي ان زي
+
+451
+00:49:46,070 --> 00:49:46,890
+واحد؟
+
+452
+00:49:49,320 --> 00:49:55,860
+هذا أكبر من هذا، من عند الواحد فمع فوق، طب خُط اني
+
+453
+00:49:55,860 --> 00:50:00,780
+بواحد، بصير جدويا، اشلمني اتنينلن اتنين اقل من
+
+454
+00:50:00,780 --> 00:50:04,320
+واحد لأن لن ال E بواحد له اتنين والسبعة من عشر
+
+455
+00:50:04,320 --> 00:50:09,700
+يبدو مش صحيح بلاش ينقص اول حد يا اخي شو بيصير؟ ده
+
+456
+00:50:09,700 --> 00:50:14,140
+يبدو ان عندنا M تساوي قداش نعم يبقى صين لن تلاتة
+
+457
+00:50:14,140 --> 00:50:19,680
+فعلا اكبر من واحد صحيح اذا هذا اكبر من واحدة for
+
+458
+00:50:19,680 --> 00:50:24,180
+all ان اللي greater than or equal to three يعني
+
+459
+00:50:24,180 --> 00:50:30,530
+معناته اهملتي الحد الأول من حدود ال seriesطيب هل
+
+460
+00:50:30,530 --> 00:50:37,370
+هذا .. اتنين صح من عند اتنين مظهر صحيح لإن أحب دي
+
+461
+00:50:37,370 --> 00:50:43,910
+من عند الواحد طيب أليس هذا أكبر من واحد على N لا
+
+462
+00:50:43,910 --> 00:50:51,880
+بلى ولا حاجة بلى يبعد عن جلدكيبقى هنا بقول زائد N
+
+463
+00:50:51,880 --> 00:50:57,780
+تمام؟ يبقى واحد على اتنين N هلحين أجي البلة؟
+
+464
+00:50:57,780 --> 00:51:00,920
+توجعنا في الأول في البلة هلحين البلة تحتك، كده
+
+465
+00:51:00,920 --> 00:51:06,120
+اللي بتحكي عليها يبقى صار عنا مين؟ summation اللي
+
+466
+00:51:06,120 --> 00:51:12,520
+هو مين؟ لمص واحد على N من N equal one to infinity
+
+467
+00:51:12,520 --> 00:51:16,160
+by their harmonic
+
+468
+00:51:18,530 --> 00:51:26,270
+يبقى باجي بقوله buy the comparison test the series
+
+469
+00:51:27,570 --> 00:51:34,270
+Low summation من N equal one to infinity لإن ال N
+
+470
+00:51:34,270 --> 00:51:39,110
+زائد واحد على N زائد واحد Diverge وانتهينا من
+
+471
+00:51:39,110 --> 00:51:43,550
+المثلة لازلنا في نفس ال section و لازالت هناك
+
+472
+00:51:43,550 --> 00:51:48,650
+العديد من الأمثلة على ال comparison ثم ال limit
+
+473
+00:51:48,650 --> 00:51:52,270
+comparison للمرة القادمة ان شاء الله
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4L2irOydHGA_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4L2irOydHGA_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..72ae38cc95b3a7e5767191e544126149808c4a4f
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4L2irOydHGA_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 1216, "start": 10.02, "end": 12.16, "text": "بسم الله الرحمن الرحيم", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640], "avg_logprob": -0.06440429762005806, "compression_ratio": 1.0789473684210527, "no_speech_prob": 0.0, "words": [{"start": 10.02, "end": 10.98, "word": "بسم", "probability": 0.80615234375}, {"start": 10.98, "end": 11.2, "word": " الله", "probability": 0.97998046875}, {"start": 11.2, "end": 11.66, "word": " الرحمن", "probability": 0.96240234375}, {"start": 11.66, "end": 12.16, "word": " الرحيم", "probability": 0.9943033854166666}], "temperature": 1.0}, {"id": 2, "seek": 3204, "start": 13.13, "end": 32.05, "text": "مواصل ما ابتدأنا به في المرة الماضية و هو موضوع ال power series طبعا ابتدينا فيه المرة الماضية و أخدنا على ذلك أربعة أمثلة و بنعطي الآن مثال بشكل آخر غير الأشكال الأربع اللي شفناها في المرة الماضية", "tokens": [2304, 2407, 33546, 1211, 19446, 48127, 2655, 3215, 10721, 8315, 39627, 8978, 9673, 25720, 9673, 46958, 10632, 4032, 31439, 3714, 2407, 11242, 45367, 2423, 1347, 2638, 23032, 3555, 3615, 995, 48127, 2655, 16254, 8315, 8978, 3224, 9673, 25720, 9673, 46958, 10632, 4032, 5551, 9778, 3215, 8315, 15844, 29910, 23275, 5551, 25513, 27884, 5551, 2304, 12984, 37977, 4032, 44945, 3615, 9566, 1829, 6024, 48506, 50113, 6027, 4724, 8592, 28820, 19753, 34740, 32771, 13546, 16247, 8592, 4117, 6027, 16247, 25513, 3615, 13672, 1829, 13412, 5172, 8315, 11296, 8978, 9673, 25720, 9673, 46958, 10632], "avg_logprob": -0.11336617139370544, "compression_ratio": 1.901098901098901, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 13.13, "end": 13.99, "word": "مواصل", "probability": 0.79351806640625}, {"start": 13.99, "end": 14.11, "word": " ما", "probability": 0.76611328125}, {"start": 14.11, "end": 14.71, "word": " ابتدأنا", "probability": 0.93046875}, {"start": 14.71, "end": 14.99, "word": " به", "probability": 0.619140625}, {"start": 14.99, "end": 15.19, "word": " في", "probability": 0.8994140625}, {"start": 15.19, "end": 15.61, "word": " المرة", "probability": 0.986083984375}, {"start": 15.61, "end": 16.25, "word": " الماضية", "probability": 0.9918619791666666}, {"start": 16.25, "end": 16.39, "word": " و", "probability": 0.31884765625}, {"start": 16.39, "end": 16.53, "word": " هو", "probability": 0.97607421875}, {"start": 16.53, "end": 17.31, "word": " موضوع", "probability": 0.97021484375}, {"start": 17.31, "end": 18.05, "word": " ال", "probability": 0.755859375}, {"start": 18.05, "end": 18.49, "word": " power", "probability": 0.64990234375}, {"start": 18.49, "end": 19.41, "word": " series", "probability": 0.89453125}, {"start": 19.41, "end": 20.17, "word": " طبعا", "probability": 0.9608154296875}, {"start": 20.17, "end": 20.67, "word": " ابتدينا", "probability": 0.8511962890625}, {"start": 20.67, "end": 20.89, "word": " فيه", "probability": 0.949951171875}, {"start": 20.89, "end": 21.19, "word": " المرة", "probability": 0.95703125}, {"start": 21.19, "end": 21.87, "word": " الماضية", "probability": 0.9962565104166666}, {"start": 21.87, "end": 22.27, "word": " و", "probability": 0.88427734375}, {"start": 22.27, "end": 22.73, "word": " أخدنا", "probability": 0.888671875}, {"start": 22.73, "end": 22.89, "word": " على", "probability": 0.86669921875}, {"start": 22.89, "end": 23.29, "word": " ذلك", "probability": 0.991943359375}, {"start": 23.29, "end": 24.03, "word": " أربعة", "probability": 0.8663736979166666}, {"start": 24.03, "end": 24.77, "word": " أمثلة", "probability": 0.96435546875}, {"start": 24.77, "end": 25.23, "word": " و", "probability": 0.69580078125}, {"start": 25.23, "end": 25.75, "word": " بنعطي", "probability": 0.9163818359375}, {"start": 25.75, "end": 26.11, "word": " الآن", "probability": 0.73388671875}, {"start": 26.11, "end": 26.71, "word": " مثال", "probability": 0.970947265625}, {"start": 26.71, "end": 27.37, "word": " بشكل", "probability": 0.9921875}, {"start": 27.37, "end": 28.01, "word": " آخر", "probability": 0.883544921875}, {"start": 28.01, "end": 28.73, "word": " غير", "probability": 0.971923828125}, {"start": 28.73, "end": 29.33, "word": " الأشكال", "probability": 0.9837646484375}, {"start": 29.33, "end": 29.81, "word": " الأربع", "probability": 0.8772786458333334}, {"start": 29.81, "end": 29.95, "word": " اللي", "probability": 0.878173828125}, {"start": 29.95, "end": 30.51, "word": " شفناها", "probability": 0.93115234375}, {"start": 30.51, "end": 30.65, "word": " في", "probability": 0.9306640625}, {"start": 30.65, "end": 31.19, "word": " المرة", "probability": 0.99609375}, {"start": 31.19, "end": 32.05, "word": " الماضية", "probability": 0.9957682291666666}], "temperature": 1.0}, {"id": 3, "seek": 5565, "start": 32.57, "end": 55.65, "text": "المثال بقول ما ياتي هاتلي فترة التقارب لل power series اللي قدامنا هذه and find the sum of the series as a function وهاتلي مجموع هذه المتسلسلة كدالة يبقى في الأول بدنا نروح نجيب فترة التقارب لهذه ال series يبقى solution", "tokens": [45340, 12984, 6027, 4724, 39648, 19446, 7251, 9307, 1829, 8032, 9307, 20292, 6156, 2655, 25720, 16712, 4587, 9640, 3555, 24976, 1347, 2638, 13672, 1829, 12174, 3215, 10943, 8315, 29538, 293, 915, 264, 2408, 295, 264, 2638, 382, 257, 2445, 37037, 9307, 20292, 3714, 7435, 2304, 45367, 29538, 9673, 2655, 3794, 1211, 3794, 37977, 9122, 3215, 6027, 3660, 7251, 3555, 4587, 7578, 8978, 16247, 12610, 47525, 8315, 8717, 32887, 5016, 8717, 7435, 1829, 3555, 6156, 2655, 25720, 16712, 4587, 9640, 3555, 46740, 24192, 2423, 2638, 7251, 3555, 4587, 7578, 3827], "avg_logprob": -0.16206596857971614, "compression_ratio": 1.7333333333333334, "no_speech_prob": 0.0, "words": [{"start": 32.57, "end": 33.21, "word": "المثال", "probability": 0.90478515625}, {"start": 33.21, "end": 33.61, "word": " بقول", "probability": 0.6072998046875}, {"start": 33.61, "end": 33.85, "word": " ما", "probability": 0.3515625}, {"start": 33.85, "end": 34.29, "word": " ياتي", "probability": 0.6897786458333334}, {"start": 34.29, "end": 34.79, "word": " هاتلي", "probability": 0.7140299479166666}, {"start": 34.79, "end": 35.33, "word": " فترة", "probability": 0.9934895833333334}, {"start": 35.33, "end": 36.39, "word": " التقارب", "probability": 0.9947509765625}, {"start": 36.39, "end": 37.07, "word": " لل", "probability": 0.86669921875}, {"start": 37.07, "end": 37.53, "word": " power", "probability": 0.5859375}, {"start": 37.53, "end": 38.17, "word": " series", "probability": 0.8759765625}, {"start": 38.17, "end": 38.37, "word": " اللي", "probability": 0.83642578125}, {"start": 38.37, "end": 39.07, "word": " قدامنا", "probability": 0.9766845703125}, {"start": 39.07, "end": 39.47, "word": " هذه", "probability": 0.361572265625}, {"start": 39.47, "end": 40.25, "word": " and", "probability": 0.39697265625}, {"start": 40.25, "end": 40.67, "word": " find", "probability": 0.89111328125}, {"start": 40.67, "end": 40.95, "word": " the", "probability": 0.77490234375}, {"start": 40.95, "end": 41.23, "word": " sum", "probability": 0.97314453125}, {"start": 41.23, "end": 41.49, "word": " of", "probability": 0.98046875}, {"start": 41.49, "end": 41.69, "word": " the", "probability": 0.8662109375}, {"start": 41.69, "end": 42.01, "word": " series", "probability": 0.9150390625}, {"start": 42.01, "end": 42.41, "word": " as", "probability": 0.96240234375}, {"start": 42.41, "end": 42.71, "word": " a", "probability": 0.97412109375}, {"start": 42.71, "end": 43.31, "word": " function", "probability": 0.9765625}, {"start": 43.31, "end": 44.29, "word": " وهاتلي", "probability": 0.83740234375}, {"start": 44.29, "end": 44.89, "word": " مجموع", "probability": 0.889404296875}, {"start": 44.89, "end": 45.21, "word": " هذه", "probability": 0.958984375}, {"start": 45.21, "end": 46.37, "word": " المتسلسلة", "probability": 0.9549967447916666}, {"start": 46.37, "end": 47.43, "word": " كدالة", "probability": 0.7205810546875}, {"start": 47.43, "end": 48.01, "word": " يبقى", "probability": 0.8975830078125}, {"start": 48.01, "end": 48.13, "word": " في", "probability": 0.88818359375}, {"start": 48.13, "end": 48.53, "word": " الأول", "probability": 0.96875}, {"start": 48.53, "end": 48.89, "word": " بدنا", "probability": 0.6685791015625}, {"start": 48.89, "end": 49.17, "word": " نروح", "probability": 0.9864908854166666}, {"start": 49.17, "end": 49.77, "word": " نجيب", "probability": 0.98583984375}, {"start": 49.77, "end": 50.59, "word": " فترة", "probability": 0.99462890625}, {"start": 50.59, "end": 51.63, "word": " التقارب", "probability": 0.997314453125}, {"start": 51.63, "end": 52.47, "word": " لهذه", "probability": 0.939208984375}, {"start": 52.47, "end": 53.05, "word": " ال", "probability": 0.93359375}, {"start": 53.05, "end": 53.59, "word": " series", "probability": 0.94677734375}, {"start": 53.59, "end": 54.65, "word": " يبقى", "probability": 0.9654541015625}, {"start": 54.65, "end": 55.65, "word": " solution", "probability": 0.90380859375}], "temperature": 1.0}, {"id": 4, "seek": 8265, "start": 58.39, "end": 82.65, "text": "حابين اتعرف على شكل ال series فبجي بقول summation من N equal zero to infinity لل X تربيع زائد واحد على تلاتة to the power N الحد الأول بواحد الحد التاني X تربيع زائد واحد على تلاتة الحد التاني X تربيع زائد واحد على تلاتة لكل تربيع", "tokens": [5016, 16758, 9957, 1975, 2655, 3615, 28480, 15844, 13412, 28820, 2423, 2638, 6156, 3555, 7435, 1829, 4724, 39648, 28811, 9154, 426, 2681, 4018, 281, 13202, 24976, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 281, 264, 1347, 426, 21542, 3215, 16247, 12610, 4724, 14407, 24401, 21542, 3215, 16712, 7649, 1829, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 21542, 3215, 16712, 7649, 1829, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 2288, 21292, 3615], "avg_logprob": -0.16682449284226003, "compression_ratio": 2.016574585635359, "no_speech_prob": 0.0, "words": [{"start": 58.39, "end": 58.83, "word": "حابين", "probability": 0.4641927083333333}, {"start": 58.83, "end": 59.31, "word": " اتعرف", "probability": 0.8829345703125}, {"start": 59.31, "end": 59.57, "word": " على", "probability": 0.80029296875}, {"start": 59.57, "end": 60.07, "word": " شكل", "probability": 0.97900390625}, {"start": 60.07, "end": 60.31, "word": " ال", "probability": 0.87060546875}, {"start": 60.31, "end": 60.67, "word": " series", "probability": 0.46728515625}, {"start": 60.67, "end": 61.35, "word": " فبجي", "probability": 0.67767333984375}, {"start": 61.35, "end": 61.71, "word": " بقول", "probability": 0.8759765625}, {"start": 61.71, "end": 62.47, "word": " summation", "probability": 0.775390625}, {"start": 62.47, "end": 62.89, "word": " من", "probability": 0.9091796875}, {"start": 62.89, "end": 63.17, "word": " N", "probability": 0.39453125}, {"start": 63.17, "end": 63.61, "word": " equal", "probability": 0.1766357421875}, {"start": 63.61, "end": 63.97, "word": " zero", "probability": 0.3837890625}, {"start": 63.97, "end": 64.23, "word": " to", "probability": 0.96044921875}, {"start": 64.23, "end": 64.85, "word": " infinity", "probability": 0.8427734375}, {"start": 64.85, "end": 65.67, "word": " لل", "probability": 0.484130859375}, {"start": 65.67, "end": 65.97, "word": " X", "probability": 0.6650390625}, {"start": 65.97, "end": 66.51, "word": " تربيع", "probability": 0.8082275390625}, {"start": 66.51, "end": 66.93, "word": " زائد", "probability": 0.8585611979166666}, {"start": 66.93, "end": 67.33, "word": " واحد", "probability": 0.939697265625}, {"start": 67.33, "end": 67.63, "word": " على", "probability": 0.7734375}, {"start": 67.63, "end": 68.39, "word": " تلاتة", "probability": 0.9178466796875}, {"start": 68.39, "end": 68.67, "word": " to", "probability": 0.9140625}, {"start": 68.67, "end": 68.89, "word": " the", "probability": 0.90771484375}, {"start": 68.89, "end": 69.45, "word": " power", "probability": 0.88671875}, {"start": 69.45, "end": 69.93, "word": " N", "probability": 0.67822265625}, {"start": 69.93, "end": 71.21, "word": " الحد", "probability": 0.843017578125}, {"start": 71.21, "end": 71.67, "word": " الأول", "probability": 0.84619140625}, {"start": 71.67, "end": 72.47, "word": " بواحد", "probability": 0.9659830729166666}, {"start": 72.47, "end": 73.25, "word": " الحد", "probability": 0.831787109375}, {"start": 73.25, "end": 74.09, "word": " التاني", "probability": 0.9339192708333334}, {"start": 74.09, "end": 74.53, "word": " X", "probability": 0.849609375}, {"start": 74.53, "end": 75.05, "word": " تربيع", "probability": 0.9332275390625}, {"start": 75.05, "end": 75.53, "word": " زائد", "probability": 0.96875}, {"start": 75.53, "end": 75.97, "word": " واحد", "probability": 0.982666015625}, {"start": 75.97, "end": 76.27, "word": " على", "probability": 0.92236328125}, {"start": 76.27, "end": 77.13, "word": " تلاتة", "probability": 0.9822998046875}, {"start": 77.13, "end": 78.13, "word": " الحد", "probability": 0.88232421875}, {"start": 78.13, "end": 78.77, "word": " التاني", "probability": 0.9724934895833334}, {"start": 78.77, "end": 79.11, "word": " X", "probability": 0.97705078125}, {"start": 79.11, "end": 79.63, "word": " تربيع", "probability": 0.9732666015625}, {"start": 79.63, "end": 80.07, "word": " زائد", "probability": 0.966796875}, {"start": 80.07, "end": 80.51, "word": " واحد", "probability": 0.9892578125}, {"start": 80.51, "end": 80.83, "word": " على", "probability": 0.90673828125}, {"start": 80.83, "end": 81.47, "word": " تلاتة", "probability": 0.988037109375}, {"start": 81.47, "end": 81.95, "word": " لكل", "probability": 0.9833984375}, {"start": 81.95, "end": 82.65, "word": " تربيع", "probability": 0.9400634765625}], "temperature": 1.0}, {"id": 5, "seek": 11000, "start": 82.74, "end": 110.0, "text": "بنبقى الماشي لغاية ما نوصل ل X تربيع زائد واحد على تلاتة كله to the power N زائد إلى آخرين يبقى كتبنا ال series على الشكل اللي قدامنا السؤال هو هد ال series هل هي من ال series التلاتة المشهورة اللي كنا بنتعامل معاها طيلة هذا ال chapter بالمرة النهائية", "tokens": [3555, 1863, 3555, 4587, 7578, 9673, 33599, 1829, 5296, 17082, 995, 10632, 19446, 8717, 2407, 36520, 5296, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 28242, 3224, 281, 264, 1347, 426, 30767, 16373, 3215, 30731, 19753, 34740, 9957, 7251, 3555, 4587, 7578, 9122, 2655, 3555, 8315, 2423, 2638, 15844, 25124, 28820, 13672, 1829, 12174, 3215, 10943, 8315, 21136, 33604, 6027, 31439, 8032, 3215, 2423, 2638, 8032, 1211, 39896, 9154, 2423, 2638, 16712, 1211, 9307, 3660, 9673, 8592, 3224, 13063, 3660, 13672, 1829, 9122, 8315, 44945, 2655, 3615, 10943, 1211, 20449, 995, 11296, 23032, 26895, 3660, 23758, 2423, 7187, 20666, 2304, 25720, 28239, 3224, 16373, 10632], "avg_logprob": -0.2206858407079646, "compression_ratio": 1.7854077253218885, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 82.74, "end": 83.58, "word": "بنبقى", "probability": 0.591796875}, {"start": 83.58, "end": 84.22, "word": " الماشي", "probability": 0.572509765625}, {"start": 84.22, "end": 84.6, "word": " لغاية", "probability": 0.82177734375}, {"start": 84.6, "end": 84.76, "word": " ما", "probability": 0.9462890625}, {"start": 84.76, "end": 85.24, "word": " نوصل", "probability": 0.9728190104166666}, {"start": 85.24, "end": 85.5, "word": " ل", "probability": 0.80078125}, {"start": 85.5, "end": 85.78, "word": " X", "probability": 0.372314453125}, {"start": 85.78, "end": 86.42, "word": " تربيع", "probability": 0.6895751953125}, {"start": 86.42, "end": 87.2, "word": " زائد", "probability": 0.52880859375}, {"start": 87.2, "end": 87.62, "word": " واحد", "probability": 0.938720703125}, {"start": 87.62, "end": 88.08, "word": " على", "probability": 0.82861328125}, {"start": 88.08, "end": 89.12, "word": " تلاتة", "probability": 0.949462890625}, {"start": 89.12, "end": 90.3, "word": " كله", "probability": 0.910400390625}, {"start": 90.3, "end": 90.5, "word": " to", "probability": 0.82275390625}, {"start": 90.5, "end": 90.9, "word": " the", "probability": 0.923828125}, {"start": 90.9, "end": 91.72, "word": " power", "probability": 0.9033203125}, {"start": 91.72, "end": 92.6, "word": " N", "probability": 0.5634765625}, {"start": 92.6, "end": 94.88, "word": " زائد", "probability": 0.85546875}, {"start": 94.88, "end": 95.16, "word": " إلى", "probability": 0.5263671875}, {"start": 95.16, "end": 95.78, "word": " آخرين", "probability": 0.74462890625}, {"start": 95.78, "end": 96.78, "word": " يبقى", "probability": 0.9183349609375}, {"start": 96.78, "end": 97.44, "word": " كتبنا", "probability": 0.9691162109375}, {"start": 97.44, "end": 97.82, "word": " ال", "probability": 0.84716796875}, {"start": 97.82, "end": 98.08, "word": " series", "probability": 0.9189453125}, {"start": 98.08, "end": 98.34, "word": " على", "probability": 0.8388671875}, {"start": 98.34, "end": 98.76, "word": " الشكل", "probability": 0.972412109375}, {"start": 98.76, "end": 98.88, "word": " اللي", "probability": 0.916259765625}, {"start": 98.88, "end": 99.28, "word": " قدامنا", "probability": 0.9447021484375}, {"start": 99.28, "end": 99.82, "word": " السؤال", "probability": 0.9661458333333334}, {"start": 99.82, "end": 100.28, "word": " هو", "probability": 0.7119140625}, {"start": 100.28, "end": 101.44, "word": " هد", "probability": 0.49951171875}, {"start": 101.44, "end": 101.54, "word": " ال", "probability": 0.3916015625}, {"start": 101.54, "end": 101.94, "word": " series", "probability": 0.96484375}, {"start": 101.94, "end": 102.32, "word": " هل", "probability": 0.97705078125}, {"start": 102.32, "end": 102.56, "word": " هي", "probability": 0.892578125}, {"start": 102.56, "end": 102.82, "word": " من", "probability": 0.99072265625}, {"start": 102.82, "end": 102.94, "word": " ال", "probability": 0.95751953125}, {"start": 102.94, "end": 103.24, "word": " series", "probability": 0.923828125}, {"start": 103.24, "end": 103.88, "word": " التلاتة", "probability": 0.9732666015625}, {"start": 103.88, "end": 104.72, "word": " المشهورة", "probability": 0.99365234375}, {"start": 104.72, "end": 105.14, "word": " اللي", "probability": 0.912109375}, {"start": 105.14, "end": 105.38, "word": " كنا", "probability": 0.992919921875}, {"start": 105.38, "end": 106.04, "word": " بنتعامل", "probability": 0.884814453125}, {"start": 106.04, "end": 106.38, "word": " معاها", "probability": 0.7985026041666666}, {"start": 106.38, "end": 106.84, "word": " طيلة", "probability": 0.7998046875}, {"start": 106.84, "end": 107.08, "word": " هذا", "probability": 0.92578125}, {"start": 107.08, "end": 107.18, "word": " ال", "probability": 0.53173828125}, {"start": 107.18, "end": 107.56, "word": " chapter", "probability": 0.935546875}, {"start": 107.56, "end": 109.4, "word": " بالمرة", "probability": 0.7482096354166666}, {"start": 109.4, "end": 110.0, "word": " النهائية", "probability": 0.80303955078125}], "temperature": 1.0}, {"id": 6, "seek": 13327, "start": 111.15, "end": 133.27, "text": "يعني هذه ليست Geometric ليست P Series ليست Harmonic؟ Geometric يعني يعني هي واحدة منها من التلاتة اقسم الحد هذا على هذا كده ايش بيطلع الجواب اكثر بيها زي واحدة على تلاتة اقسم هذا على هذا اكثر بيها زي واحدة على تلاتة يعني كده اذا هذه Geometric Series Converged", "tokens": [40228, 22653, 29538, 32239, 14851, 2876, 29470, 32239, 14851, 430, 13934, 32239, 14851, 40599, 299, 22807, 2876, 29470, 37495, 22653, 37495, 22653, 39896, 36764, 24401, 3660, 9154, 11296, 9154, 16712, 1211, 9307, 3660, 1975, 4587, 38251, 21542, 3215, 23758, 15844, 23758, 9122, 3215, 3224, 1975, 1829, 8592, 4724, 1829, 9566, 1211, 3615, 25724, 14407, 3555, 1975, 4117, 49115, 4724, 1829, 11296, 30767, 1829, 36764, 24401, 3660, 15844, 6055, 1211, 9307, 3660, 1975, 4587, 38251, 23758, 15844, 23758, 1975, 4117, 49115, 4724, 1829, 11296, 30767, 1829, 36764, 24401, 3660, 15844, 6055, 1211, 9307, 3660, 37495, 22653, 9122, 3215, 3224, 1975, 15730, 29538, 2876, 29470, 13934, 2656, 331, 3004], "avg_logprob": -0.2650463098177203, "compression_ratio": 2.117948717948718, "no_speech_prob": 0.0, "words": [{"start": 111.15, "end": 111.49, "word": "يعني", "probability": 0.52862548828125}, {"start": 111.49, "end": 111.77, "word": " هذه", "probability": 0.455322265625}, {"start": 111.77, "end": 112.17, "word": " ليست", "probability": 0.924560546875}, {"start": 112.17, "end": 112.89, "word": " Geometric", "probability": 0.669677734375}, {"start": 112.89, "end": 113.39, "word": " ليست", "probability": 0.833740234375}, {"start": 113.39, "end": 113.63, "word": " P", "probability": 0.72607421875}, {"start": 113.63, "end": 113.95, "word": " Series", "probability": 0.7099609375}, {"start": 113.95, "end": 114.39, "word": " ليست", "probability": 0.950927734375}, {"start": 114.39, "end": 115.07, "word": " Harmonic؟", "probability": 0.68896484375}, {"start": 115.07, "end": 116.21, "word": " Geometric", "probability": 0.6749267578125}, {"start": 116.21, "end": 117.03, "word": " يعني", "probability": 0.83837890625}, {"start": 117.03, "end": 117.31, "word": " يعني", "probability": 0.6895751953125}, {"start": 117.31, "end": 117.51, "word": " هي", "probability": 0.857421875}, {"start": 117.51, "end": 117.97, "word": " واحدة", "probability": 0.9710286458333334}, {"start": 117.97, "end": 118.39, "word": " منها", "probability": 0.921142578125}, {"start": 118.39, "end": 118.73, "word": " من", "probability": 0.56982421875}, {"start": 118.73, "end": 119.47, "word": " التلاتة", "probability": 0.940185546875}, {"start": 119.47, "end": 120.31, "word": " اقسم", "probability": 0.7862955729166666}, {"start": 120.31, "end": 120.81, "word": " الحد", "probability": 0.96923828125}, {"start": 120.81, "end": 121.07, "word": " هذا", "probability": 0.82275390625}, {"start": 121.07, "end": 121.29, "word": " على", "probability": 0.90478515625}, {"start": 121.29, "end": 121.49, "word": " هذا", "probability": 0.97607421875}, {"start": 121.49, "end": 121.75, "word": " كده", "probability": 0.9383138020833334}, {"start": 121.75, "end": 121.81, "word": " ايش", "probability": 0.5940348307291666}, {"start": 121.81, "end": 122.07, "word": " بيطلع", "probability": 0.908984375}, {"start": 122.07, "end": 122.73, "word": " الجواب", "probability": 0.9041341145833334}, {"start": 122.73, "end": 123.13, "word": " اكثر", "probability": 0.5950927734375}, {"start": 123.13, "end": 124.95, "word": " بيها", "probability": 0.8876953125}, {"start": 124.95, "end": 125.11, "word": " زي", "probability": 0.8203125}, {"start": 125.11, "end": 125.39, "word": " واحدة", "probability": 0.6388346354166666}, {"start": 125.39, "end": 125.47, "word": " على", "probability": 0.830078125}, {"start": 125.47, "end": 125.89, "word": " تلاتة", "probability": 0.9610595703125}, {"start": 125.89, "end": 126.39, "word": " اقسم", "probability": 0.8649088541666666}, {"start": 126.39, "end": 126.59, "word": " هذا", "probability": 0.94677734375}, {"start": 126.59, "end": 126.83, "word": " على", "probability": 0.962890625}, {"start": 126.83, "end": 127.23, "word": " هذا", "probability": 0.953125}, {"start": 127.23, "end": 127.57, "word": " اكثر", "probability": 0.953125}, {"start": 127.57, "end": 127.79, "word": " بيها", "probability": 0.8522135416666666}, {"start": 127.79, "end": 127.95, "word": " زي", "probability": 0.988525390625}, {"start": 127.95, "end": 128.23, "word": " واحدة", "probability": 0.9654947916666666}, {"start": 128.23, "end": 128.33, "word": " على", "probability": 0.92431640625}, {"start": 128.33, "end": 128.69, "word": " تلاتة", "probability": 0.9638671875}, {"start": 128.69, "end": 128.89, "word": " يعني", "probability": 0.52532958984375}, {"start": 128.89, "end": 129.29, "word": " كده", "probability": 0.8206380208333334}, {"start": 129.29, "end": 129.97, "word": " اذا", "probability": 0.637451171875}, {"start": 129.97, "end": 130.57, "word": " هذه", "probability": 0.54638671875}, {"start": 130.57, "end": 131.67, "word": " Geometric", "probability": 0.904541015625}, {"start": 131.67, "end": 132.05, "word": " Series", "probability": 0.343505859375}, {"start": 132.05, "end": 133.27, "word": " Converged", "probability": 0.7726236979166666}], "temperature": 1.0}, {"id": 7, "seek": 16000, "start": 133.34, "end": 160.0, "text": "إذا كان الاساس تبعها هذا ماله أقل من الواحد الصحيح يبقى هذه Convergent Geometric Series إذا كان absolute value لل R لو بدي أسوأ absolute value لإكس تربية زي واحد على تلاتة أقل من مين أقل من واحد", "tokens": [28814, 15730, 25961, 2423, 32277, 32277, 6055, 3555, 3615, 11296, 23758, 3714, 6027, 3224, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 29538, 2656, 331, 6930, 2876, 29470, 13934, 11933, 15730, 25961, 8236, 2158, 24976, 497, 45164, 4724, 16254, 5551, 3794, 2407, 10721, 8236, 2158, 5296, 28814, 4117, 3794, 6055, 25513, 10632, 30767, 1829, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 5551, 4587, 1211, 9154, 3714, 9957, 5551, 4587, 1211, 9154, 36764, 24401], "avg_logprob": -0.33622685773873034, "compression_ratio": 1.60752688172043, "no_speech_prob": 0.0, "words": [{"start": 133.34, "end": 133.96, "word": "إذا", "probability": 0.695068359375}, {"start": 133.96, "end": 134.3, "word": " كان", "probability": 0.97509765625}, {"start": 134.3, "end": 134.88, "word": " الاساس", "probability": 0.764404296875}, {"start": 134.88, "end": 135.4, "word": " تبعها", "probability": 0.584259033203125}, {"start": 135.4, "end": 135.66, "word": " هذا", "probability": 0.50537109375}, {"start": 135.66, "end": 136.18, "word": " ماله", "probability": 0.7967122395833334}, {"start": 136.18, "end": 137.28, "word": " أقل", "probability": 0.9505208333333334}, {"start": 137.28, "end": 137.5, "word": " من", "probability": 0.99267578125}, {"start": 137.5, "end": 137.96, "word": " الواحد", "probability": 0.79931640625}, {"start": 137.96, "end": 138.6, "word": " الصحيح", "probability": 0.9688720703125}, {"start": 138.6, "end": 139.76, "word": " يبقى", "probability": 0.9415283203125}, {"start": 139.76, "end": 140.22, "word": " هذه", "probability": 0.6943359375}, {"start": 140.22, "end": 141.8, "word": " Convergent", "probability": 0.3744303385416667}, {"start": 141.8, "end": 143.44, "word": " Geometric", "probability": 0.879638671875}, {"start": 143.44, "end": 145.2, "word": " Series", "probability": 0.91357421875}, {"start": 145.2, "end": 147.16, "word": " إذا", "probability": 0.85498046875}, {"start": 147.16, "end": 147.98, "word": " كان", "probability": 0.99609375}, {"start": 147.98, "end": 148.98, "word": " absolute", "probability": 0.6533203125}, {"start": 148.98, "end": 149.84, "word": " value", "probability": 0.99462890625}, {"start": 149.84, "end": 150.26, "word": " لل", "probability": 0.826171875}, {"start": 150.26, "end": 151.18, "word": " R", "probability": 0.3212890625}, {"start": 151.18, "end": 152.42, "word": " لو", "probability": 0.25146484375}, {"start": 152.42, "end": 152.66, "word": " بدي", "probability": 0.657958984375}, {"start": 152.66, "end": 152.96, "word": " أسوأ", "probability": 0.72607421875}, {"start": 152.96, "end": 153.66, "word": " absolute", "probability": 0.456787109375}, {"start": 153.66, "end": 154.04, "word": " value", "probability": 0.98486328125}, {"start": 154.04, "end": 154.58, "word": " لإكس", "probability": 0.49066162109375}, {"start": 154.58, "end": 155.02, "word": " تربية", "probability": 0.7459309895833334}, {"start": 155.02, "end": 155.34, "word": " زي", "probability": 0.7177734375}, {"start": 155.34, "end": 155.86, "word": " واحد", "probability": 0.72265625}, {"start": 155.86, "end": 156.16, "word": " على", "probability": 0.61083984375}, {"start": 156.16, "end": 157.16, "word": " تلاتة", "probability": 0.9539794921875}, {"start": 157.16, "end": 157.88, "word": " أقل", "probability": 0.9617513020833334}, {"start": 157.88, "end": 158.1, "word": " من", "probability": 0.994140625}, {"start": 158.1, "end": 158.52, "word": " مين", "probability": 0.878662109375}, {"start": 158.52, "end": 159.38, "word": " أقل", "probability": 0.7466634114583334}, {"start": 159.38, "end": 159.64, "word": " من", "probability": 0.99658203125}, {"start": 159.64, "end": 160.0, "word": " واحد", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 8, "seek": 18212, "start": 160.78, "end": 182.12, "text": "طيب هذه عمرها بتاخد قيمة سالبة تقول absolute value كتبناها والله شيلناها سياد يبقى هذا معناه ان ال X تربية زائد واحد على تلاتة اقل من مهم اقل من الواحد او ان شئتم فقولوا ان هذه convert geometric", "tokens": [9566, 1829, 3555, 29538, 6225, 29973, 11296, 39894, 47283, 3215, 12174, 32640, 3660, 8608, 6027, 49401, 6055, 39648, 8236, 2158, 9122, 2655, 3555, 8315, 11296, 16070, 43761, 13412, 26895, 8315, 11296, 8608, 1829, 18513, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 16472, 2423, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 1975, 4587, 1211, 9154, 3714, 16095, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 1975, 2407, 16472, 13412, 19986, 39237, 6156, 39648, 14407, 16472, 29538, 7620, 33246], "avg_logprob": -0.25790441456963037, "compression_ratio": 1.5812807881773399, "no_speech_prob": 0.0, "words": [{"start": 160.78, "end": 161.16, "word": "طيب", "probability": 0.590087890625}, {"start": 161.16, "end": 161.56, "word": " هذه", "probability": 0.61328125}, {"start": 161.56, "end": 162.08, "word": " عمرها", "probability": 0.7955729166666666}, {"start": 162.08, "end": 162.62, "word": " بتاخد", "probability": 0.849609375}, {"start": 162.62, "end": 163.24, "word": " قيمة", "probability": 0.9601236979166666}, {"start": 163.24, "end": 163.8, "word": " سالبة", "probability": 0.9153645833333334}, {"start": 163.8, "end": 164.84, "word": " تقول", "probability": 0.43359375}, {"start": 164.84, "end": 165.24, "word": " absolute", "probability": 0.382080078125}, {"start": 165.24, "end": 165.56, "word": " value", "probability": 0.9755859375}, {"start": 165.56, "end": 166.26, "word": " كتبناها", "probability": 0.94609375}, {"start": 166.26, "end": 166.62, "word": " والله", "probability": 0.561279296875}, {"start": 166.62, "end": 167.04, "word": " شيلناها", "probability": 0.93798828125}, {"start": 167.04, "end": 167.7, "word": " سياد", "probability": 0.536376953125}, {"start": 167.7, "end": 168.66, "word": " يبقى", "probability": 0.923828125}, {"start": 168.66, "end": 169.02, "word": " هذا", "probability": 0.9384765625}, {"start": 169.02, "end": 169.92, "word": " معناه", "probability": 0.9747721354166666}, {"start": 169.92, "end": 170.6, "word": " ان", "probability": 0.7412109375}, {"start": 170.6, "end": 170.86, "word": " ال", "probability": 0.8115234375}, {"start": 170.86, "end": 171.22, "word": " X", "probability": 0.53076171875}, {"start": 171.22, "end": 171.76, "word": " تربية", "probability": 0.5669759114583334}, {"start": 171.76, "end": 172.26, "word": " زائد", "probability": 0.8894856770833334}, {"start": 172.26, "end": 172.66, "word": " واحد", "probability": 0.935546875}, {"start": 172.66, "end": 173.06, "word": " على", "probability": 0.681640625}, {"start": 173.06, "end": 173.84, "word": " تلاتة", "probability": 0.9224853515625}, {"start": 173.84, "end": 174.3, "word": " اقل", "probability": 0.8585611979166666}, {"start": 174.3, "end": 174.48, "word": " من", "probability": 0.99267578125}, {"start": 174.48, "end": 174.9, "word": " مهم", "probability": 0.70361328125}, {"start": 174.9, "end": 176.1, "word": " اقل", "probability": 0.9596354166666666}, {"start": 176.1, "end": 176.36, "word": " من", "probability": 0.99560546875}, {"start": 176.36, "end": 176.96, "word": " الواحد", "probability": 0.94091796875}, {"start": 176.96, "end": 177.62, "word": " او", "probability": 0.944091796875}, {"start": 177.62, "end": 177.74, "word": " ان", "probability": 0.88037109375}, {"start": 177.74, "end": 178.32, "word": " شئتم", "probability": 0.73681640625}, {"start": 178.32, "end": 179.34, "word": " فقولوا", "probability": 0.9114583333333334}, {"start": 179.34, "end": 179.94, "word": " ان", "probability": 0.95556640625}, {"start": 179.94, "end": 180.4, "word": " هذه", "probability": 0.544921875}, {"start": 180.4, "end": 180.98, "word": " convert", "probability": 0.67333984375}, {"start": 180.98, "end": 182.12, "word": " geometric", "probability": 0.82861328125}], "temperature": 1.0}, {"id": 9, "seek": 20571, "start": 182.69, "end": 205.71, "text": "إذا كان ال X تربية زائد واحد أقل من من تلاتة وإن شئتم فقولوا X تربية أقل من اتنين وإذا خدنا الجدر التربية بيصير absolute value ل X أقل من square root للاتنين", "tokens": [28814, 15730, 25961, 2423, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 5551, 4587, 1211, 9154, 9154, 6055, 1211, 9307, 3660, 4032, 28814, 1863, 13412, 19986, 39237, 6156, 4587, 12610, 14407, 1783, 6055, 25513, 10632, 5551, 4587, 1211, 9154, 1975, 2655, 1863, 9957, 4032, 28814, 15730, 16490, 3215, 8315, 25724, 3215, 2288, 16712, 25513, 10632, 4724, 1829, 9381, 13546, 8236, 2158, 5296, 1783, 5551, 4587, 1211, 9154, 3732, 5593, 24976, 9307, 1863, 9957], "avg_logprob": -0.29083332538604734, "compression_ratio": 1.5900621118012421, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 182.69, "end": 183.23, "word": "إذا", "probability": 0.5948486328125}, {"start": 183.23, "end": 183.97, "word": " كان", "probability": 0.939453125}, {"start": 183.97, "end": 184.55, "word": " ال", "probability": 0.30224609375}, {"start": 184.55, "end": 184.91, "word": " X", "probability": 0.35546875}, {"start": 184.91, "end": 185.49, "word": " تربية", "probability": 0.7654622395833334}, {"start": 185.49, "end": 186.15, "word": " زائد", "probability": 0.7582194010416666}, {"start": 186.15, "end": 186.95, "word": " واحد", "probability": 0.94677734375}, {"start": 186.95, "end": 189.79, "word": " أقل", "probability": 0.8336588541666666}, {"start": 189.79, "end": 190.01, "word": " من", "probability": 0.98193359375}, {"start": 190.01, "end": 190.31, "word": " من", "probability": 0.212646484375}, {"start": 190.31, "end": 192.07, "word": " تلاتة", "probability": 0.8646240234375}, {"start": 192.07, "end": 192.77, "word": " وإن", "probability": 0.5552571614583334}, {"start": 192.77, "end": 193.41, "word": " شئتم", "probability": 0.8098958333333334}, {"start": 193.41, "end": 194.41, "word": " فقولوا", "probability": 0.76031494140625}, {"start": 194.41, "end": 195.09, "word": " X", "probability": 0.92919921875}, {"start": 195.09, "end": 195.65, "word": " تربية", "probability": 0.9606119791666666}, {"start": 195.65, "end": 196.29, "word": " أقل", "probability": 0.9661458333333334}, {"start": 196.29, "end": 196.61, "word": " من", "probability": 0.99609375}, {"start": 196.61, "end": 197.39, "word": " اتنين", "probability": 0.89892578125}, {"start": 197.39, "end": 198.59, "word": " وإذا", "probability": 0.70166015625}, {"start": 198.59, "end": 199.09, "word": " خدنا", "probability": 0.75048828125}, {"start": 199.09, "end": 199.59, "word": " الجدر", "probability": 0.9220377604166666}, {"start": 199.59, "end": 200.19, "word": " التربية", "probability": 0.9122721354166666}, {"start": 200.19, "end": 200.61, "word": " بيصير", "probability": 0.70599365234375}, {"start": 200.61, "end": 201.19, "word": " absolute", "probability": 0.81005859375}, {"start": 201.19, "end": 201.75, "word": " value", "probability": 0.98095703125}, {"start": 201.75, "end": 201.95, "word": " ل", "probability": 0.69970703125}, {"start": 201.95, "end": 202.31, "word": " X", "probability": 0.83642578125}, {"start": 202.31, "end": 203.35, "word": " أقل", "probability": 0.9676106770833334}, {"start": 203.35, "end": 203.57, "word": " من", "probability": 0.99560546875}, {"start": 203.57, "end": 204.01, "word": " square", "probability": 0.394775390625}, {"start": 204.01, "end": 204.91, "word": " root", "probability": 0.8828125}, {"start": 204.91, "end": 205.71, "word": " للاتنين", "probability": 0.69329833984375}], "temperature": 1.0}, {"id": 10, "seek": 23137, "start": 206.13, "end": 231.37, "text": "يبقى باجي بقوله the series converge on the interval على الفترة هذه ايش معناها؟ X محصولة من سلب جذر اتنين وجذر اتنين، اذا على الفترة من سلب جذر اتنين إلى جذر اتنين", "tokens": [1829, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 264, 2638, 41881, 322, 264, 15035, 15844, 27188, 2655, 25720, 29538, 1975, 1829, 8592, 20449, 8315, 11296, 22807, 1783, 3714, 5016, 9381, 12610, 3660, 9154, 8608, 46152, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 49610, 8848, 2288, 1975, 2655, 1863, 9957, 12399, 1975, 15730, 15844, 27188, 2655, 25720, 9154, 8608, 46152, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 30731, 10874, 8848, 2288, 1975, 2655, 1863, 9957], "avg_logprob": -0.20698052412503726, "compression_ratio": 1.6794871794871795, "no_speech_prob": 0.0, "words": [{"start": 206.13, "end": 206.55, "word": "يبقى", "probability": 0.8338623046875}, {"start": 206.55, "end": 206.97, "word": " باجي", "probability": 0.77880859375}, {"start": 206.97, "end": 207.67, "word": " بقوله", "probability": 0.8304036458333334}, {"start": 207.67, "end": 207.89, "word": " the", "probability": 0.336669921875}, {"start": 207.89, "end": 208.73, "word": " series", "probability": 0.9169921875}, {"start": 208.73, "end": 211.49, "word": " converge", "probability": 0.95947265625}, {"start": 211.49, "end": 212.65, "word": " on", "probability": 0.9345703125}, {"start": 212.65, "end": 213.87, "word": " the", "probability": 0.90283203125}, {"start": 213.87, "end": 216.29, "word": " interval", "probability": 0.9736328125}, {"start": 216.29, "end": 217.31, "word": " على", "probability": 0.7275390625}, {"start": 217.31, "end": 218.11, "word": " الفترة", "probability": 0.98828125}, {"start": 218.11, "end": 218.77, "word": " هذه", "probability": 0.1531982421875}, {"start": 218.77, "end": 219.07, "word": " ايش", "probability": 0.7588704427083334}, {"start": 219.07, "end": 220.13, "word": " معناها؟", "probability": 0.8206787109375}, {"start": 220.13, "end": 221.15, "word": " X", "probability": 0.5341796875}, {"start": 221.15, "end": 221.75, "word": " محصولة", "probability": 0.77275390625}, {"start": 221.75, "end": 221.91, "word": " من", "probability": 0.51806640625}, {"start": 221.91, "end": 222.33, "word": " سلب", "probability": 0.681640625}, {"start": 222.33, "end": 222.71, "word": " جذر", "probability": 0.9461263020833334}, {"start": 222.71, "end": 223.09, "word": " اتنين", "probability": 0.9154052734375}, {"start": 223.09, "end": 223.69, "word": " وجذر", "probability": 0.90771484375}, {"start": 223.69, "end": 224.67, "word": " اتنين،", "probability": 0.89052734375}, {"start": 224.67, "end": 224.91, "word": " اذا", "probability": 0.786865234375}, {"start": 224.91, "end": 225.33, "word": " على", "probability": 0.41552734375}, {"start": 225.33, "end": 226.01, "word": " الفترة", "probability": 0.9920247395833334}, {"start": 226.01, "end": 226.27, "word": " من", "probability": 0.990234375}, {"start": 226.27, "end": 226.93, "word": " سلب", "probability": 0.886474609375}, {"start": 226.93, "end": 227.51, "word": " جذر", "probability": 0.9928385416666666}, {"start": 227.51, "end": 228.27, "word": " اتنين", "probability": 0.9888916015625}, {"start": 228.27, "end": 228.87, "word": " إلى", "probability": 0.82373046875}, {"start": 228.87, "end": 230.67, "word": " جذر", "probability": 0.8089192708333334}, {"start": 230.67, "end": 231.37, "word": " اتنين", "probability": 0.986572265625}], "temperature": 1.0}, {"id": 11, "seek": 26006, "start": 231.76, "end": 260.06, "text": "يبقى انت هنا من المطلوب الأول قال لي هاتلي فترة التقارب لل power series اللي عندنا ايوة السؤال بيسأل بيقول انت كانت بفترة مفتوحة بنفعش تكون مغلقة بنقوله تعالى نشوف بنفعله بنفعش ايش سمناها ال series هذه؟ Geometric وانتش ال geometric converge", "tokens": [1829, 3555, 4587, 7578, 16472, 2655, 34105, 9154, 9673, 9566, 1211, 37746, 16247, 12610, 50239, 32239, 8032, 9307, 20292, 6156, 2655, 25720, 16712, 4587, 9640, 3555, 24976, 1347, 2638, 13672, 1829, 43242, 8315, 1975, 1829, 2407, 3660, 21136, 33604, 6027, 4724, 1829, 3794, 10721, 1211, 4724, 1829, 39648, 16472, 2655, 25961, 2655, 4724, 5172, 2655, 25720, 3714, 5172, 2655, 2407, 5016, 3660, 44945, 5172, 3615, 8592, 6055, 30544, 3714, 17082, 1211, 28671, 44945, 39648, 3224, 37279, 6027, 7578, 8717, 8592, 38688, 44945, 5172, 30241, 3224, 44945, 5172, 3615, 8592, 1975, 1829, 8592, 8608, 2304, 8315, 11296, 2423, 2638, 29538, 22807, 2876, 29470, 4032, 7649, 2655, 8592, 2423, 33246, 41881], "avg_logprob": -0.28607954409989444, "compression_ratio": 1.752212389380531, "no_speech_prob": 0.0, "words": [{"start": 231.76, "end": 232.14, "word": "يبقى", "probability": 0.703125}, {"start": 232.14, "end": 232.38, "word": " انت", "probability": 0.5081787109375}, {"start": 232.38, "end": 232.64, "word": " هنا", "probability": 0.94580078125}, {"start": 232.64, "end": 232.86, "word": " من", "probability": 0.72705078125}, {"start": 232.86, "end": 233.36, "word": " المطلوب", "probability": 0.959228515625}, {"start": 233.36, "end": 233.78, "word": " الأول", "probability": 0.92333984375}, {"start": 233.78, "end": 234.04, "word": " قال", "probability": 0.69384765625}, {"start": 234.04, "end": 234.18, "word": " لي", "probability": 0.381103515625}, {"start": 234.18, "end": 234.5, "word": " هاتلي", "probability": 0.69677734375}, {"start": 234.5, "end": 234.94, "word": " فترة", "probability": 0.99462890625}, {"start": 234.94, "end": 235.94, "word": " التقارب", "probability": 0.9730224609375}, {"start": 235.94, "end": 236.52, "word": " لل", "probability": 0.923828125}, {"start": 236.52, "end": 236.94, "word": " power", "probability": 0.6064453125}, {"start": 236.94, "end": 237.5, "word": " series", "probability": 0.89599609375}, {"start": 237.5, "end": 237.72, "word": " اللي", "probability": 0.869384765625}, {"start": 237.72, "end": 238.04, "word": " عندنا", "probability": 0.832763671875}, {"start": 238.04, "end": 238.76, "word": " ايوة", "probability": 0.593048095703125}, {"start": 238.76, "end": 245.72, "word": " السؤال", "probability": 0.7464192708333334}, {"start": 245.72, "end": 246.12, "word": " بيسأل", "probability": 0.93056640625}, {"start": 246.12, "end": 246.46, "word": " بيقول", "probability": 0.77099609375}, {"start": 246.46, "end": 246.8, "word": " انت", "probability": 0.801513671875}, {"start": 246.8, "end": 247.1, "word": " كانت", "probability": 0.80810546875}, {"start": 247.1, "end": 247.52, "word": " بفترة", "probability": 0.8968505859375}, {"start": 247.52, "end": 248.34, "word": " مفتوحة", "probability": 0.9827473958333334}, {"start": 248.34, "end": 249.14, "word": " بنفعش", "probability": 0.779144287109375}, {"start": 249.14, "end": 249.6, "word": " تكون", "probability": 0.992431640625}, {"start": 249.6, "end": 250.28, "word": " مغلقة", "probability": 0.970703125}, {"start": 250.28, "end": 252.04, "word": " بنقوله", "probability": 0.661376953125}, {"start": 252.04, "end": 252.7, "word": " تعالى", "probability": 0.8287760416666666}, {"start": 252.7, "end": 253.04, "word": " نشوف", "probability": 0.9962565104166666}, {"start": 253.04, "end": 253.66, "word": " بنفعله", "probability": 0.8353271484375}, {"start": 253.66, "end": 254.3, "word": " بنفعش", "probability": 0.8341064453125}, {"start": 254.3, "end": 255.1, "word": " ايش", "probability": 0.82666015625}, {"start": 255.1, "end": 255.6, "word": " سمناها", "probability": 0.7491455078125}, {"start": 255.6, "end": 255.74, "word": " ال", "probability": 0.87939453125}, {"start": 255.74, "end": 256.04, "word": " series", "probability": 0.95751953125}, {"start": 256.04, "end": 256.62, "word": " هذه؟", "probability": 0.4820556640625}, {"start": 256.62, "end": 257.94, "word": " Geometric", "probability": 0.6326904296875}, {"start": 257.94, "end": 258.84, "word": " وانتش", "probability": 0.6319122314453125}, {"start": 258.84, "end": 258.98, "word": " ال", "probability": 0.96044921875}, {"start": 258.98, "end": 259.38, "word": " geometric", "probability": 0.73095703125}, {"start": 259.38, "end": 260.06, "word": " converge", "probability": 0.3369140625}], "temperature": 1.0}, {"id": 12, "seek": 28993, "start": 262.53, "end": 289.93, "text": "طب لو كانت تساوي واحد يعني بنفع نجفل هى؟ هى بنفع؟ خلاص مايبقى مينفعش ليش؟ لأنه إذا كانت أكبر من أو تساوي واحد ال series مالها بي vary بقدرش أقول closed interval وإنما بقول open interval طب انتهينا من مقوب الأول مقوب التاني بيقوللي على فترة التقارب هذه", "tokens": [9566, 3555, 45164, 25961, 2655, 6055, 3794, 995, 45865, 36764, 24401, 37495, 22653, 44945, 5172, 3615, 8717, 7435, 5172, 1211, 8032, 7578, 22807, 8032, 7578, 44945, 5172, 3615, 22807, 16490, 1211, 33546, 19446, 1829, 3555, 4587, 7578, 3714, 9957, 5172, 3615, 8592, 32239, 8592, 22807, 5296, 33456, 3224, 11933, 15730, 25961, 2655, 5551, 4117, 26890, 9154, 34051, 6055, 3794, 995, 45865, 36764, 24401, 2423, 2638, 3714, 6027, 11296, 4724, 1829, 10559, 4724, 28543, 2288, 8592, 5551, 39648, 5395, 15035, 4032, 28814, 1863, 15042, 4724, 39648, 1269, 15035, 23032, 3555, 16472, 47395, 1829, 8315, 9154, 3714, 4587, 37746, 16247, 12610, 3714, 4587, 37746, 16712, 7649, 1829, 4724, 1829, 39648, 20292, 15844, 6156, 2655, 25720, 16712, 4587, 9640, 3555, 29538], "avg_logprob": -0.290178565418019, "compression_ratio": 1.7172131147540983, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 262.53000000000003, "end": 263.41, "word": "طب", "probability": 0.50872802734375}, {"start": 263.41, "end": 263.55, "word": " لو", "probability": 0.8154296875}, {"start": 263.55, "end": 263.95, "word": " كانت", "probability": 0.836669921875}, {"start": 263.95, "end": 264.31, "word": " تساوي", "probability": 0.83984375}, {"start": 264.31, "end": 264.87, "word": " واحد", "probability": 0.943359375}, {"start": 264.87, "end": 266.71, "word": " يعني", "probability": 0.835693359375}, {"start": 266.71, "end": 267.07, "word": " بنفع", "probability": 0.9220377604166666}, {"start": 267.07, "end": 267.53, "word": " نجفل", "probability": 0.59759521484375}, {"start": 267.53, "end": 269.47, "word": " هى؟", "probability": 0.3428141276041667}, {"start": 269.47, "end": 269.69, "word": " هى", "probability": 0.906494140625}, {"start": 269.69, "end": 270.51, "word": " بنفع؟", "probability": 0.8109130859375}, {"start": 270.51, "end": 271.49, "word": " خلاص", "probability": 0.9733072916666666}, {"start": 271.49, "end": 271.87, "word": " مايبقى", "probability": 0.9041015625}, {"start": 271.87, "end": 272.47, "word": " مينفعش", "probability": 0.7302734375}, {"start": 272.47, "end": 273.85, "word": " ليش؟", "probability": 0.7609049479166666}, {"start": 273.85, "end": 274.17, "word": " لأنه", "probability": 0.67431640625}, {"start": 274.17, "end": 274.31, "word": " إذا", "probability": 0.75830078125}, {"start": 274.31, "end": 274.97, "word": " كانت", "probability": 0.96630859375}, {"start": 274.97, "end": 275.75, "word": " أكبر", "probability": 0.9391276041666666}, {"start": 275.75, "end": 276.07, "word": " من", "probability": 0.98681640625}, {"start": 276.07, "end": 276.45, "word": " أو", "probability": 0.80224609375}, {"start": 276.45, "end": 277.01, "word": " تساوي", "probability": 0.968994140625}, {"start": 277.01, "end": 277.39, "word": " واحد", "probability": 0.987548828125}, {"start": 277.39, "end": 277.59, "word": " ال", "probability": 0.50390625}, {"start": 277.59, "end": 277.77, "word": " series", "probability": 0.55810546875}, {"start": 277.77, "end": 278.35, "word": " مالها", "probability": 0.79052734375}, {"start": 278.35, "end": 279.01, "word": " بي", "probability": 0.36065673828125}, {"start": 279.01, "end": 279.33, "word": " vary", "probability": 0.92041015625}, {"start": 279.33, "end": 279.99, "word": " بقدرش", "probability": 0.684417724609375}, {"start": 279.99, "end": 280.23, "word": " أقول", "probability": 0.85498046875}, {"start": 280.23, "end": 280.65, "word": " closed", "probability": 0.58056640625}, {"start": 280.65, "end": 281.17, "word": " interval", "probability": 0.97802734375}, {"start": 281.17, "end": 281.59, "word": " وإنما", "probability": 0.6048583984375}, {"start": 281.59, "end": 282.11, "word": " بقول", "probability": 0.855712890625}, {"start": 282.11, "end": 283.33, "word": " open", "probability": 0.93798828125}, {"start": 283.33, "end": 284.43, "word": " interval", "probability": 0.98486328125}, {"start": 284.43, "end": 285.17, "word": " طب", "probability": 0.97021484375}, {"start": 285.17, "end": 285.63, "word": " انتهينا", "probability": 0.74609375}, {"start": 285.63, "end": 285.79, "word": " من", "probability": 0.861328125}, {"start": 285.79, "end": 286.15, "word": " مقوب", "probability": 0.672119140625}, {"start": 286.15, "end": 286.51, "word": " الأول", "probability": 0.986572265625}, {"start": 286.51, "end": 286.93, "word": " مقوب", "probability": 0.8455403645833334}, {"start": 286.93, "end": 287.33, "word": " التاني", "probability": 0.8404947916666666}, {"start": 287.33, "end": 287.91, "word": " بيقوللي", "probability": 0.7720947265625}, {"start": 287.91, "end": 288.13, "word": " على", "probability": 0.9296875}, {"start": 288.13, "end": 288.73, "word": " فترة", "probability": 0.9962565104166666}, {"start": 288.73, "end": 289.57, "word": " التقارب", "probability": 0.9951171875}, {"start": 289.57, "end": 289.93, "word": " هذه", "probability": 0.798828125}], "temperature": 1.0}, {"id": 13, "seek": 31620, "start": 290.27, "end": 316.21, "text": "بتجيب للمجموع تبع السيريز هذه as a function باجيب اقوله it's sum المجموع تبعها as بدي اديله capital S capital S يساوي الحد الاول على واحد ناقص الاساس الاساس يقول اكس تربيه زائد واحد على تلاتة", "tokens": [3555, 2655, 7435, 1829, 3555, 5296, 19528, 7435, 2304, 45367, 6055, 3555, 3615, 21136, 13546, 1829, 11622, 29538, 382, 257, 2445, 4724, 26108, 1829, 3555, 1975, 39648, 3224, 309, 311, 2408, 9673, 7435, 2304, 45367, 6055, 3555, 3615, 11296, 382, 4724, 16254, 1975, 16254, 43761, 4238, 318, 4238, 318, 7251, 3794, 995, 45865, 21542, 3215, 42963, 12610, 15844, 36764, 24401, 8717, 995, 4587, 9381, 2423, 32277, 32277, 2423, 32277, 32277, 7251, 39648, 1975, 4117, 3794, 6055, 2288, 21292, 3224, 30767, 16373, 3215, 36764, 24401, 15844, 6055, 1211, 9307, 3660], "avg_logprob": -0.3328124980131785, "compression_ratio": 1.6720430107526882, "no_speech_prob": 0.0, "words": [{"start": 290.27, "end": 291.23, "word": "بتجيب", "probability": 0.5646484375}, {"start": 291.23, "end": 292.09, "word": " للمجموع", "probability": 0.7646728515625}, {"start": 292.09, "end": 292.49, "word": " تبع", "probability": 0.7421875}, {"start": 292.49, "end": 293.07, "word": " السيريز", "probability": 0.73748779296875}, {"start": 293.07, "end": 293.39, "word": " هذه", "probability": 0.5078125}, {"start": 293.39, "end": 293.99, "word": " as", "probability": 0.6787109375}, {"start": 293.99, "end": 294.41, "word": " a", "probability": 0.96142578125}, {"start": 294.41, "end": 295.21, "word": " function", "probability": 0.96435546875}, {"start": 295.21, "end": 296.23, "word": " باجيب", "probability": 0.56280517578125}, {"start": 296.23, "end": 296.77, "word": " اقوله", "probability": 0.701904296875}, {"start": 296.77, "end": 297.67, "word": " it's", "probability": 0.645751953125}, {"start": 297.67, "end": 298.45, "word": " sum", "probability": 0.7685546875}, {"start": 298.45, "end": 301.07, "word": " المجموع", "probability": 0.9046630859375}, {"start": 301.07, "end": 301.89, "word": " تبعها", "probability": 0.93896484375}, {"start": 301.89, "end": 302.43, "word": " as", "probability": 0.87109375}, {"start": 302.43, "end": 303.27, "word": " بدي", "probability": 0.557861328125}, {"start": 303.27, "end": 303.91, "word": " اديله", "probability": 0.6949055989583334}, {"start": 303.91, "end": 304.77, "word": " capital", "probability": 0.52197265625}, {"start": 304.77, "end": 305.25, "word": " S", "probability": 0.7138671875}, {"start": 305.25, "end": 306.11, "word": " capital", "probability": 0.320068359375}, {"start": 306.11, "end": 306.61, "word": " S", "probability": 0.93408203125}, {"start": 306.61, "end": 307.25, "word": " يساوي", "probability": 0.7923583984375}, {"start": 307.25, "end": 307.81, "word": " الحد", "probability": 0.98779296875}, {"start": 307.81, "end": 308.55, "word": " الاول", "probability": 0.717041015625}, {"start": 308.55, "end": 309.33, "word": " على", "probability": 0.7685546875}, {"start": 309.33, "end": 310.05, "word": " واحد", "probability": 0.98486328125}, {"start": 310.05, "end": 310.75, "word": " ناقص", "probability": 0.9765625}, {"start": 310.75, "end": 311.55, "word": " الاساس", "probability": 0.8961588541666666}, {"start": 311.55, "end": 312.57, "word": " الاساس", "probability": 0.8525390625}, {"start": 312.57, "end": 312.73, "word": " يقول", "probability": 0.75}, {"start": 312.73, "end": 313.25, "word": " اكس", "probability": 0.5612996419270834}, {"start": 313.25, "end": 313.77, "word": " تربيه", "probability": 0.7557373046875}, {"start": 313.77, "end": 314.39, "word": " زائد", "probability": 0.88916015625}, {"start": 314.39, "end": 314.97, "word": " واحد", "probability": 0.9638671875}, {"start": 314.97, "end": 315.35, "word": " على", "probability": 0.8212890625}, {"start": 315.35, "end": 316.21, "word": " تلاتة", "probability": 0.878662109375}], "temperature": 1.0}, {"id": 14, "seek": 34042, "start": 316.98, "end": 340.42, "text": "هذه هى اللى هي بدها تساوي من تلاتة على مين على تلاتة ناقص x تربيع ناقص واحد او انشئتم فقولوا تلاتة على اتنين ناقص x تربيع سؤال هو أليست هذه function في x", "tokens": [3224, 24192, 8032, 7578, 13672, 7578, 39896, 47525, 11296, 6055, 3794, 995, 45865, 9154, 6055, 1211, 9307, 3660, 15844, 3714, 9957, 15844, 6055, 1211, 9307, 3660, 8717, 995, 4587, 9381, 2031, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 36764, 24401, 1975, 2407, 16472, 8592, 19986, 39237, 6156, 39648, 14407, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 2031, 6055, 2288, 21292, 3615, 8608, 33604, 6027, 31439, 5551, 20292, 14851, 29538, 2445, 8978, 2031], "avg_logprob": -0.250585949793458, "compression_ratio": 1.696774193548387, "no_speech_prob": 0.0, "words": [{"start": 316.98, "end": 317.62, "word": "هذه", "probability": 0.735107421875}, {"start": 317.62, "end": 318.14, "word": " هى", "probability": 0.20025634765625}, {"start": 318.14, "end": 318.92, "word": " اللى", "probability": 0.7193603515625}, {"start": 318.92, "end": 319.08, "word": " هي", "probability": 0.2197265625}, {"start": 319.08, "end": 319.44, "word": " بدها", "probability": 0.847900390625}, {"start": 319.44, "end": 319.88, "word": " تساوي", "probability": 0.8192138671875}, {"start": 319.88, "end": 320.16, "word": " من", "probability": 0.96337890625}, {"start": 320.16, "end": 321.3, "word": " تلاتة", "probability": 0.8197021484375}, {"start": 321.3, "end": 322.0, "word": " على", "probability": 0.73779296875}, {"start": 322.0, "end": 322.56, "word": " مين", "probability": 0.751708984375}, {"start": 322.56, "end": 323.28, "word": " على", "probability": 0.87841796875}, {"start": 323.28, "end": 324.2, "word": " تلاتة", "probability": 0.9573974609375}, {"start": 324.2, "end": 324.9, "word": " ناقص", "probability": 0.953369140625}, {"start": 324.9, "end": 325.3, "word": " x", "probability": 0.481201171875}, {"start": 325.3, "end": 326.08, "word": " تربيع", "probability": 0.6824951171875}, {"start": 326.08, "end": 327.4, "word": " ناقص", "probability": 0.98388671875}, {"start": 327.4, "end": 327.96, "word": " واحد", "probability": 0.98193359375}, {"start": 327.96, "end": 328.58, "word": " او", "probability": 0.815673828125}, {"start": 328.58, "end": 329.28, "word": " انشئتم", "probability": 0.58929443359375}, {"start": 329.28, "end": 330.7, "word": " فقولوا", "probability": 0.9386393229166666}, {"start": 330.7, "end": 331.68, "word": " تلاتة", "probability": 0.9727783203125}, {"start": 331.68, "end": 332.36, "word": " على", "probability": 0.888671875}, {"start": 332.36, "end": 333.2, "word": " اتنين", "probability": 0.9691162109375}, {"start": 333.2, "end": 334.28, "word": " ناقص", "probability": 0.9954833984375}, {"start": 334.28, "end": 334.72, "word": " x", "probability": 0.9765625}, {"start": 334.72, "end": 335.24, "word": " تربيع", "probability": 0.937744140625}, {"start": 335.24, "end": 336.12, "word": " سؤال", "probability": 0.8779296875}, {"start": 336.12, "end": 336.54, "word": " هو", "probability": 0.7861328125}, {"start": 336.54, "end": 337.7, "word": " أليست", "probability": 0.6599934895833334}, {"start": 337.7, "end": 338.12, "word": " هذه", "probability": 0.78759765625}, {"start": 338.12, "end": 338.96, "word": " function", "probability": 0.875}, {"start": 338.96, "end": 339.94, "word": " في", "probability": 0.95263671875}, {"start": 339.94, "end": 340.42, "word": " x", "probability": 0.681640625}], "temperature": 1.0}, {"id": 15, "seek": 35892, "start": 341.28, "end": 358.92, "text": "يبقى بناء عليه المجموعة S as a function of X فالـ F of X بده يسوى ثلاثة على الإتنين ناقص X تربيع المطلوب الثاني من المثلة", "tokens": [1829, 3555, 4587, 7578, 44945, 16606, 47356, 9673, 7435, 2304, 2407, 27884, 318, 382, 257, 2445, 295, 1783, 6156, 6027, 39184, 479, 295, 1783, 47525, 3224, 7251, 3794, 2407, 7578, 38637, 1211, 5718, 104, 3660, 15844, 33688, 2655, 1863, 9957, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3615, 9673, 9566, 1211, 37746, 6024, 104, 7649, 1829, 9154, 9673, 12984, 37977], "avg_logprob": -0.2971270247813194, "compression_ratio": 1.3221476510067114, "no_speech_prob": 0.0, "words": [{"start": 341.28, "end": 341.84, "word": "يبقى", "probability": 0.783935546875}, {"start": 341.84, "end": 342.24, "word": " بناء", "probability": 0.6336669921875}, {"start": 342.24, "end": 342.56, "word": " عليه", "probability": 0.58203125}, {"start": 342.56, "end": 343.74, "word": " المجموعة", "probability": 0.885546875}, {"start": 343.74, "end": 344.2, "word": " S", "probability": 0.6220703125}, {"start": 344.2, "end": 345.08, "word": " as", "probability": 0.73828125}, {"start": 345.08, "end": 345.5, "word": " a", "probability": 0.96142578125}, {"start": 345.5, "end": 346.4, "word": " function", "probability": 0.9677734375}, {"start": 346.4, "end": 346.86, "word": " of", "probability": 0.97509765625}, {"start": 346.86, "end": 347.18, "word": " X", "probability": 0.57080078125}, {"start": 347.18, "end": 347.58, "word": " فالـ", "probability": 0.4166666666666667}, {"start": 347.58, "end": 347.86, "word": " F", "probability": 0.66845703125}, {"start": 347.86, "end": 348.16, "word": " of", "probability": 0.6015625}, {"start": 348.16, "end": 348.5, "word": " X", "probability": 0.99169921875}, {"start": 348.5, "end": 349.24, "word": " بده", "probability": 0.302001953125}, {"start": 349.24, "end": 349.82, "word": " يسوى", "probability": 0.7977294921875}, {"start": 349.82, "end": 350.98, "word": " ثلاثة", "probability": 0.819921875}, {"start": 350.98, "end": 351.48, "word": " على", "probability": 0.69287109375}, {"start": 351.48, "end": 352.46, "word": " الإتنين", "probability": 0.79547119140625}, {"start": 352.46, "end": 353.68, "word": " ناقص", "probability": 0.9222412109375}, {"start": 353.68, "end": 354.2, "word": " X", "probability": 0.94482421875}, {"start": 354.2, "end": 355.0, "word": " تربيع", "probability": 0.790771484375}, {"start": 355.0, "end": 355.96, "word": " المطلوب", "probability": 0.93701171875}, {"start": 355.96, "end": 356.68, "word": " الثاني", "probability": 0.9326171875}, {"start": 356.68, "end": 357.28, "word": " من", "probability": 0.9697265625}, {"start": 357.28, "end": 358.92, "word": " المثلة", "probability": 0.7548014322916666}], "temperature": 1.0}, {"id": 16, "seek": 37414, "start": 361.98, "end": 374.14, "text": "الان انتهينا من الجزء الاول من هذا ال section بدنا ننتقل الى الجزء الثاني الجزء الثاني من هذا ال section هو differentiation term by term", "tokens": [6027, 7649, 16472, 47395, 1829, 8315, 9154, 25724, 11622, 38207, 42963, 12610, 9154, 23758, 2423, 3541, 47525, 8315, 8717, 29399, 4587, 1211, 2423, 7578, 25724, 11622, 38207, 6024, 104, 7649, 1829, 25724, 11622, 38207, 6024, 104, 7649, 1829, 9154, 23758, 2423, 3541, 31439, 38902, 1433, 538, 1433], "avg_logprob": -0.24593099765479565, "compression_ratio": 1.7272727272727273, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 361.98, "end": 362.82, "word": "الان", "probability": 0.308837890625}, {"start": 362.82, "end": 363.54, "word": " انتهينا", "probability": 0.714111328125}, {"start": 363.54, "end": 363.82, "word": " من", "probability": 0.95849609375}, {"start": 363.82, "end": 364.34, "word": " الجزء", "probability": 0.8844401041666666}, {"start": 364.34, "end": 364.82, "word": " الاول", "probability": 0.846923828125}, {"start": 364.82, "end": 365.02, "word": " من", "probability": 0.8271484375}, {"start": 365.02, "end": 365.38, "word": " هذا", "probability": 0.73828125}, {"start": 365.38, "end": 365.54, "word": " ال", "probability": 0.62646484375}, {"start": 365.54, "end": 365.92, "word": " section", "probability": 0.417724609375}, {"start": 365.92, "end": 366.34, "word": " بدنا", "probability": 0.6865234375}, {"start": 366.34, "end": 366.94, "word": " ننتقل", "probability": 0.92529296875}, {"start": 366.94, "end": 367.22, "word": " الى", "probability": 0.748779296875}, {"start": 367.22, "end": 367.74, "word": " الجزء", "probability": 0.9703776041666666}, {"start": 367.74, "end": 368.5, "word": " الثاني", "probability": 0.91748046875}, {"start": 368.5, "end": 369.48, "word": " الجزء", "probability": 0.86865234375}, {"start": 369.48, "end": 369.92, "word": " الثاني", "probability": 0.90625}, {"start": 369.92, "end": 370.08, "word": " من", "probability": 0.9248046875}, {"start": 370.08, "end": 370.38, "word": " هذا", "probability": 0.931640625}, {"start": 370.38, "end": 370.5, "word": " ال", "probability": 0.82666015625}, {"start": 370.5, "end": 370.84, "word": " section", "probability": 0.80126953125}, {"start": 370.84, "end": 371.26, "word": " هو", "probability": 0.65380859375}, {"start": 371.26, "end": 372.48, "word": " differentiation", "probability": 0.7080078125}, {"start": 372.48, "end": 373.34, "word": " term", "probability": 0.87353515625}, {"start": 373.34, "end": 373.6, "word": " by", "probability": 0.9677734375}, {"start": 373.6, "end": 374.14, "word": " term", "probability": 0.95458984375}], "temperature": 1.0}, {"id": 17, "seek": 40280, "start": 374.42, "end": 402.8, "text": "and integration term by term يبقى بدنا نيجي اللي هو differentiation term by term بالنسبة لل power series يبقى باجي بقوله term by term differentiation theorem", "tokens": [474, 10980, 1433, 538, 1433, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 1829, 7435, 1829, 13672, 1829, 31439, 38902, 1433, 538, 1433, 20666, 1863, 35457, 3660, 24976, 1347, 2638, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 1433, 538, 1433, 38902, 20904], "avg_logprob": -0.2621527645323012, "compression_ratio": 1.5390625, "no_speech_prob": 0.0, "words": [{"start": 374.42, "end": 374.96, "word": "and", "probability": 0.150390625}, {"start": 374.96, "end": 375.94, "word": " integration", "probability": 0.93701171875}, {"start": 375.94, "end": 377.04, "word": " term", "probability": 0.9091796875}, {"start": 377.04, "end": 377.62, "word": " by", "probability": 0.9775390625}, {"start": 377.62, "end": 378.22, "word": " term", "probability": 0.966796875}, {"start": 378.22, "end": 380.24, "word": " يبقى", "probability": 0.7684326171875}, {"start": 380.24, "end": 380.64, "word": " بدنا", "probability": 0.4620361328125}, {"start": 380.64, "end": 381.16, "word": " نيجي", "probability": 0.7940673828125}, {"start": 381.16, "end": 382.4, "word": " اللي", "probability": 0.51806640625}, {"start": 382.4, "end": 382.62, "word": " هو", "probability": 0.95068359375}, {"start": 382.62, "end": 383.24, "word": " differentiation", "probability": 0.60791015625}, {"start": 383.24, "end": 384.28, "word": " term", "probability": 0.89599609375}, {"start": 384.28, "end": 384.68, "word": " by", "probability": 0.95703125}, {"start": 384.68, "end": 385.28, "word": " term", "probability": 0.97314453125}, {"start": 385.28, "end": 386.4, "word": " بالنسبة", "probability": 0.9351806640625}, {"start": 386.4, "end": 386.64, "word": " لل", "probability": 0.9228515625}, {"start": 386.64, "end": 387.1, "word": " power", "probability": 0.732421875}, {"start": 387.1, "end": 388.02, "word": " series", "probability": 0.8935546875}, {"start": 388.02, "end": 388.84, "word": " يبقى", "probability": 0.944091796875}, {"start": 388.84, "end": 389.2, "word": " باجي", "probability": 0.732421875}, {"start": 389.2, "end": 390.08, "word": " بقوله", "probability": 0.81787109375}, {"start": 390.08, "end": 390.86, "word": " term", "probability": 0.9697265625}, {"start": 390.86, "end": 393.06, "word": " by", "probability": 0.9716796875}, {"start": 393.06, "end": 395.0, "word": " term", "probability": 0.9755859375}, {"start": 395.0, "end": 397.5, "word": " differentiation", "probability": 0.96240234375}, {"start": 397.5, "end": 402.8, "word": " theorem", "probability": 0.85791015625}], "temperature": 1.0}, {"id": 18, "seek": 43588, "start": 407.6, "end": 435.88, "text": "النص التالي F summation من N equal zero to infinity ل C N X نقص ال A to the power N converge for ال A minus ال R أقل من X أقل من ال A زائد ال R for some", "tokens": [6027, 1863, 9381, 16712, 6027, 1829, 479, 28811, 9154, 426, 2681, 4018, 281, 13202, 5296, 383, 426, 1783, 8717, 4587, 9381, 2423, 316, 281, 264, 1347, 426, 41881, 337, 2423, 316, 3175, 2423, 497, 5551, 4587, 1211, 9154, 1783, 5551, 4587, 1211, 9154, 2423, 316, 30767, 16373, 3215, 2423, 497, 337, 512], "avg_logprob": -0.25103183962264153, "compression_ratio": 1.2972972972972974, "no_speech_prob": 0.0, "words": [{"start": 407.6, "end": 408.24, "word": "النص", "probability": 0.8673502604166666}, {"start": 408.24, "end": 409.02, "word": " التالي", "probability": 0.6657307942708334}, {"start": 409.02, "end": 409.58, "word": " F", "probability": 0.244873046875}, {"start": 409.58, "end": 411.54, "word": " summation", "probability": 0.58740234375}, {"start": 411.54, "end": 413.36, "word": " من", "probability": 0.849609375}, {"start": 413.36, "end": 413.72, "word": " N", "probability": 0.348388671875}, {"start": 413.72, "end": 414.24, "word": " equal", "probability": 0.360107421875}, {"start": 414.24, "end": 414.86, "word": " zero", "probability": 0.482177734375}, {"start": 414.86, "end": 415.2, "word": " to", "probability": 0.95654296875}, {"start": 415.2, "end": 416.1, "word": " infinity", "probability": 0.84033203125}, {"start": 416.1, "end": 417.24, "word": " ل", "probability": 0.90283203125}, {"start": 417.24, "end": 417.8, "word": " C", "probability": 0.24169921875}, {"start": 417.8, "end": 418.4, "word": " N", "probability": 0.6728515625}, {"start": 418.4, "end": 419.36, "word": " X", "probability": 0.841796875}, {"start": 419.36, "end": 420.04, "word": " نقص", "probability": 0.9375}, {"start": 420.04, "end": 420.28, "word": " ال", "probability": 0.77783203125}, {"start": 420.28, "end": 420.54, "word": " A", "probability": 0.60546875}, {"start": 420.54, "end": 420.8, "word": " to", "probability": 0.91455078125}, {"start": 420.8, "end": 421.08, "word": " the", "probability": 0.88232421875}, {"start": 421.08, "end": 421.54, "word": " power", "probability": 0.87109375}, {"start": 421.54, "end": 422.14, "word": " N", "probability": 0.94189453125}, {"start": 422.14, "end": 424.36, "word": " converge", "probability": 0.4541015625}, {"start": 424.36, "end": 425.38, "word": " for", "probability": 0.9287109375}, {"start": 425.38, "end": 426.52, "word": " ال", "probability": 0.481689453125}, {"start": 426.52, "end": 427.0, "word": " A", "probability": 0.94287109375}, {"start": 427.0, "end": 427.58, "word": " minus", "probability": 0.90625}, {"start": 427.58, "end": 428.0, "word": " ال", "probability": 0.8623046875}, {"start": 428.0, "end": 428.32, "word": " R", "probability": 0.9345703125}, {"start": 428.32, "end": 429.02, "word": " أقل", "probability": 0.8826497395833334}, {"start": 429.02, "end": 429.3, "word": " من", "probability": 0.99365234375}, {"start": 429.3, "end": 429.76, "word": " X", "probability": 0.98974609375}, {"start": 429.76, "end": 430.44, "word": " أقل", "probability": 0.96435546875}, {"start": 430.44, "end": 430.76, "word": " من", "probability": 0.99658203125}, {"start": 430.76, "end": 431.0, "word": " ال", "probability": 0.9091796875}, {"start": 431.0, "end": 431.3, "word": " A", "probability": 0.98681640625}, {"start": 431.3, "end": 432.12, "word": " زائد", "probability": 0.9627278645833334}, {"start": 432.12, "end": 432.4, "word": " ال", "probability": 0.9228515625}, {"start": 432.4, "end": 432.9, "word": " R", "probability": 0.97412109375}, {"start": 432.9, "end": 433.86, "word": " for", "probability": 0.92724609375}, {"start": 433.86, "end": 435.88, "word": " some", "probability": 0.7939453125}], "temperature": 1.0}, {"id": 19, "seek": 46605, "start": 437.29, "end": 466.05, "text": "اللي greater than zero it defines بتعرف a function هنسميها f of x تساوي هذا ال summation اللي عندنا summation من n equal zero to infinity", "tokens": [6027, 20292, 5044, 813, 4018, 309, 23122, 39894, 3615, 28480, 257, 2445, 8032, 1863, 38251, 1829, 11296, 283, 295, 2031, 6055, 3794, 995, 45865, 23758, 2423, 28811, 13672, 1829, 43242, 8315, 28811, 9154, 297, 2681, 4018, 281, 13202], "avg_logprob": -0.33333333944663024, "compression_ratio": 1.2517985611510791, "no_speech_prob": 0.0, "words": [{"start": 437.28999999999996, "end": 438.57, "word": "اللي", "probability": 0.2235107421875}, {"start": 438.57, "end": 439.07, "word": " greater", "probability": 0.310546875}, {"start": 439.07, "end": 439.63, "word": " than", "probability": 0.92919921875}, {"start": 439.63, "end": 440.29, "word": " zero", "probability": 0.6435546875}, {"start": 440.29, "end": 441.29, "word": " it", "probability": 0.482666015625}, {"start": 441.29, "end": 442.79, "word": " defines", "probability": 0.92138671875}, {"start": 442.79, "end": 451.27, "word": " بتعرف", "probability": 0.7996419270833334}, {"start": 451.27, "end": 452.63, "word": " a", "probability": 0.607421875}, {"start": 452.63, "end": 453.93, "word": " function", "probability": 0.9638671875}, {"start": 453.93, "end": 456.25, "word": " هنسميها", "probability": 0.833935546875}, {"start": 456.25, "end": 456.71, "word": " f", "probability": 0.7900390625}, {"start": 456.71, "end": 457.15, "word": " of", "probability": 0.54931640625}, {"start": 457.15, "end": 457.81, "word": " x", "probability": 0.8369140625}, {"start": 457.81, "end": 459.15, "word": " تساوي", "probability": 0.9132080078125}, {"start": 459.15, "end": 459.61, "word": " هذا", "probability": 0.83154296875}, {"start": 459.61, "end": 459.79, "word": " ال", "probability": 0.85986328125}, {"start": 459.79, "end": 460.41, "word": " summation", "probability": 0.595703125}, {"start": 460.41, "end": 460.81, "word": " اللي", "probability": 0.91552734375}, {"start": 460.81, "end": 461.37, "word": " عندنا", "probability": 0.9833984375}, {"start": 461.37, "end": 462.67, "word": " summation", "probability": 0.46875}, {"start": 462.67, "end": 463.55, "word": " من", "probability": 0.931640625}, {"start": 463.55, "end": 463.93, "word": " n", "probability": 0.64990234375}, {"start": 463.93, "end": 464.39, "word": " equal", "probability": 0.6259765625}, {"start": 464.39, "end": 464.97, "word": " zero", "probability": 0.6904296875}, {"start": 464.97, "end": 465.29, "word": " to", "probability": 0.96484375}, {"start": 465.29, "end": 466.05, "word": " infinity", "probability": 0.8740234375}], "temperature": 1.0}, {"id": 20, "seek": 49018, "start": 466.56, "end": 490.18, "text": "للـCN الـ X نقص الـ A to the power M والـ X بتتحرك في الفترة من الـ A سالب R إلى الـ A plus R This function has a derivatives", "tokens": [1211, 1211, 39184, 34, 45, 2423, 39184, 1783, 8717, 4587, 9381, 2423, 39184, 316, 281, 264, 1347, 376, 16070, 39184, 1783, 39894, 2655, 5016, 31747, 8978, 27188, 2655, 25720, 9154, 2423, 39184, 316, 8608, 6027, 3555, 497, 30731, 2423, 39184, 316, 1804, 497, 639, 2445, 575, 257, 33733], "avg_logprob": -0.28603316326530615, "compression_ratio": 1.2408759124087592, "no_speech_prob": 0.0, "words": [{"start": 466.56, "end": 468.22, "word": "للـCN", "probability": 0.479443359375}, {"start": 468.22, "end": 469.04, "word": " الـ", "probability": 0.566650390625}, {"start": 469.04, "end": 469.38, "word": " X", "probability": 0.74365234375}, {"start": 469.38, "end": 470.14, "word": " نقص", "probability": 0.81982421875}, {"start": 470.14, "end": 470.46, "word": " الـ", "probability": 0.811279296875}, {"start": 470.46, "end": 470.72, "word": " A", "probability": 0.693359375}, {"start": 470.72, "end": 470.92, "word": " to", "probability": 0.4111328125}, {"start": 470.92, "end": 471.2, "word": " the", "probability": 0.91943359375}, {"start": 471.2, "end": 471.64, "word": " power", "probability": 0.8662109375}, {"start": 471.64, "end": 472.18, "word": " M", "probability": 0.849609375}, {"start": 472.18, "end": 473.28, "word": " والـ", "probability": 0.6624755859375}, {"start": 473.28, "end": 473.6, "word": " X", "probability": 0.9609375}, {"start": 473.6, "end": 474.94, "word": " بتتحرك", "probability": 0.8729248046875}, {"start": 474.94, "end": 475.46, "word": " في", "probability": 0.74560546875}, {"start": 475.46, "end": 476.26, "word": " الفترة", "probability": 0.9931640625}, {"start": 476.26, "end": 476.82, "word": " من", "probability": 0.98779296875}, {"start": 476.82, "end": 477.18, "word": " الـ", "probability": 0.775634765625}, {"start": 477.18, "end": 477.48, "word": " A", "probability": 0.8291015625}, {"start": 477.48, "end": 478.1, "word": " سالب", "probability": 0.7775065104166666}, {"start": 478.1, "end": 478.58, "word": " R", "probability": 0.9189453125}, {"start": 478.58, "end": 479.24, "word": " إلى", "probability": 0.82666015625}, {"start": 479.24, "end": 479.62, "word": " الـ", "probability": 0.97119140625}, {"start": 479.62, "end": 480.02, "word": " A", "probability": 0.91552734375}, {"start": 480.02, "end": 480.86, "word": " plus", "probability": 0.52490234375}, {"start": 480.86, "end": 481.52, "word": " R", "probability": 0.98388671875}, {"start": 481.52, "end": 484.28, "word": " This", "probability": 0.2802734375}, {"start": 484.28, "end": 485.3, "word": " function", "probability": 0.95751953125}, {"start": 485.3, "end": 487.96, "word": " has", "probability": 0.7890625}, {"start": 487.96, "end": 489.12, "word": " a", "probability": 0.65185546875}, {"start": 489.12, "end": 490.18, "word": " derivatives", "probability": 0.6669921875}], "temperature": 1.0}, {"id": 21, "seek": 51167, "start": 492.11, "end": 511.67, "text": "Has derivatives of all orders من كل الرتب Inside the interval of convergence", "tokens": [39, 296, 33733, 295, 439, 9470, 9154, 28242, 34892, 2655, 3555, 15123, 264, 15035, 295, 32181], "avg_logprob": -0.32559742647058826, "compression_ratio": 0.9770114942528736, "no_speech_prob": 0.0, "words": [{"start": 492.11, "end": 492.59, "word": "Has", "probability": 0.53826904296875}, {"start": 492.59, "end": 493.43, "word": " derivatives", "probability": 0.8115234375}, {"start": 493.43, "end": 493.93, "word": " of", "probability": 0.953125}, {"start": 493.93, "end": 494.35, "word": " all", "probability": 0.95361328125}, {"start": 494.35, "end": 499.65, "word": " orders", "probability": 0.85107421875}, {"start": 499.65, "end": 500.71, "word": " من", "probability": 0.486328125}, {"start": 500.71, "end": 501.19, "word": " كل", "probability": 0.986328125}, {"start": 501.19, "end": 502.19, "word": " الرتب", "probability": 0.9606119791666666}, {"start": 502.19, "end": 504.01, "word": " Inside", "probability": 0.293212890625}, {"start": 504.01, "end": 506.25, "word": " the", "probability": 0.806640625}, {"start": 506.25, "end": 508.55, "word": " interval", "probability": 0.96923828125}, {"start": 508.55, "end": 510.45, "word": " of", "probability": 0.95458984375}, {"start": 510.45, "end": 511.67, "word": " convergence", "probability": 0.9609375}], "temperature": 1.0}, {"id": 22, "seek": 52966, "start": 524.36, "end": 529.66, "text": "interval of convergence as follow كتالة", "tokens": [5106, 3337, 295, 32181, 382, 1524, 9122, 2655, 6027, 3660], "avg_logprob": -0.45703123916279187, "compression_ratio": 0.8301886792452831, "no_speech_prob": 0.0, "words": [{"start": 524.36, "end": 525.08, "word": "interval", "probability": 0.5400390625}, {"start": 525.08, "end": 525.28, "word": " of", "probability": 0.92333984375}, {"start": 525.28, "end": 526.28, "word": " convergence", "probability": 0.96142578125}, {"start": 526.28, "end": 526.76, "word": " as", "probability": 0.91064453125}, {"start": 526.76, "end": 527.36, "word": " follow", "probability": 0.359619140625}, {"start": 527.36, "end": 529.66, "word": " كتالة", "probability": 0.789794921875}], "temperature": 1.0}, {"id": 23, "seek": 58788, "start": 565.8, "end": 587.88, "text": "النقطة الأولى هي term by term differentiation theorem والنقطة التانية term by term integration theorem خلّينا مع النقطة الأولى في الأول فباجي بقول لو كانت ال series اللى عندنا هذى convert على الفترة اللى عندنا من a-r او ال x محصورة من a-r", "tokens": [6027, 1863, 47432, 3660, 16247, 12610, 7578, 39896, 1433, 538, 1433, 38902, 20904, 16070, 1863, 47432, 3660, 16712, 7649, 10632, 1433, 538, 1433, 10980, 20904, 16490, 1211, 11703, 9957, 995, 20449, 28239, 47432, 3660, 16247, 12610, 7578, 8978, 16247, 12610, 6156, 3555, 26108, 1829, 4724, 39648, 45164, 25961, 2655, 2423, 2638, 13672, 7578, 43242, 8315, 8032, 8848, 7578, 7620, 15844, 27188, 2655, 25720, 13672, 7578, 43242, 8315, 9154, 257, 12, 81, 1975, 2407, 2423, 2031, 3714, 5016, 9381, 13063, 3660, 9154, 257, 12, 81], "avg_logprob": -0.26525735714856313, "compression_ratio": 1.7878787878787878, "no_speech_prob": 0.0, "words": [{"start": 565.8000000000001, "end": 566.6, "word": "النقطة", "probability": 0.60223388671875}, {"start": 566.6, "end": 567.0, "word": " الأولى", "probability": 0.9013671875}, {"start": 567.0, "end": 567.2, "word": " هي", "probability": 0.2265625}, {"start": 567.2, "end": 567.48, "word": " term", "probability": 0.86181640625}, {"start": 567.48, "end": 567.72, "word": " by", "probability": 0.9140625}, {"start": 567.72, "end": 568.08, "word": " term", "probability": 0.96044921875}, {"start": 568.08, "end": 568.92, "word": " differentiation", "probability": 0.94287109375}, {"start": 568.92, "end": 569.78, "word": " theorem", "probability": 0.87646484375}, {"start": 569.78, "end": 570.78, "word": " والنقطة", "probability": 0.83831787109375}, {"start": 570.78, "end": 571.12, "word": " التانية", "probability": 0.89453125}, {"start": 571.12, "end": 571.56, "word": " term", "probability": 0.56787109375}, {"start": 571.56, "end": 571.88, "word": " by", "probability": 0.97412109375}, {"start": 571.88, "end": 572.32, "word": " term", "probability": 0.97509765625}, {"start": 572.32, "end": 573.06, "word": " integration", "probability": 0.94921875}, {"start": 573.06, "end": 574.38, "word": " theorem", "probability": 0.8759765625}, {"start": 574.38, "end": 575.34, "word": " خلّينا", "probability": 0.683642578125}, {"start": 575.34, "end": 575.46, "word": " مع", "probability": 0.88818359375}, {"start": 575.46, "end": 575.94, "word": " النقطة", "probability": 0.96923828125}, {"start": 575.94, "end": 576.6, "word": " الأولى", "probability": 0.9573567708333334}, {"start": 576.6, "end": 576.76, "word": " في", "probability": 0.564453125}, {"start": 576.76, "end": 577.32, "word": " الأول", "probability": 0.889892578125}, {"start": 577.32, "end": 578.3, "word": " فباجي", "probability": 0.670166015625}, {"start": 578.3, "end": 578.56, "word": " بقول", "probability": 0.83447265625}, {"start": 578.56, "end": 578.82, "word": " لو", "probability": 0.8115234375}, {"start": 578.82, "end": 579.3, "word": " كانت", "probability": 0.959716796875}, {"start": 579.3, "end": 579.44, "word": " ال", "probability": 0.8447265625}, {"start": 579.44, "end": 579.74, "word": " series", "probability": 0.91259765625}, {"start": 579.74, "end": 580.08, "word": " اللى", "probability": 0.838623046875}, {"start": 580.08, "end": 580.5, "word": " عندنا", "probability": 0.979248046875}, {"start": 580.5, "end": 581.0, "word": " هذى", "probability": 0.4632161458333333}, {"start": 581.0, "end": 581.64, "word": " convert", "probability": 0.2310791015625}, {"start": 581.64, "end": 582.7, "word": " على", "probability": 0.81298828125}, {"start": 582.7, "end": 583.36, "word": " الفترة", "probability": 0.9812825520833334}, {"start": 583.36, "end": 583.62, "word": " اللى", "probability": 0.94384765625}, {"start": 583.62, "end": 583.96, "word": " عندنا", "probability": 0.90869140625}, {"start": 583.96, "end": 584.2, "word": " من", "probability": 0.95458984375}, {"start": 584.2, "end": 584.56, "word": " a", "probability": 0.7548828125}, {"start": 584.56, "end": 585.4, "word": "-r", "probability": 0.6002197265625}, {"start": 585.4, "end": 585.62, "word": " او", "probability": 0.736572265625}, {"start": 585.62, "end": 585.76, "word": " ال", "probability": 0.7490234375}, {"start": 585.76, "end": 585.98, "word": " x", "probability": 0.393798828125}, {"start": 585.98, "end": 586.54, "word": " محصورة", "probability": 0.88974609375}, {"start": 586.54, "end": 586.72, "word": " من", "probability": 0.98974609375}, {"start": 586.72, "end": 587.1, "word": " a", "probability": 0.830078125}, {"start": 587.1, "end": 587.88, "word": "-r", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 24, "seek": 61391, "start": 588.14, "end": 613.92, "text": "والـ A زائد R إذا بتذكروا و احنا لما اتكلمنا في الجزء النظري تبع ال power series نقول لو عندنا فترة زي الفترة هذه و أجت A في منتصف الفترة كان هذا نصف قطر التقارب R وهذا نصف قطر التقارب R يبقى إحداثيات النقطة هذه A زائد R", "tokens": [2407, 6027, 39184, 316, 30767, 16373, 3215, 497, 11933, 15730, 39894, 8848, 37983, 14407, 4032, 1975, 5016, 8315, 5296, 15042, 1975, 2655, 4117, 19528, 8315, 8978, 25724, 11622, 38207, 28239, 19913, 16572, 6055, 3555, 3615, 2423, 1347, 2638, 8717, 39648, 45164, 43242, 8315, 6156, 2655, 25720, 30767, 1829, 27188, 2655, 25720, 29538, 4032, 5551, 7435, 2655, 316, 8978, 9154, 2655, 9381, 5172, 27188, 2655, 25720, 25961, 23758, 8717, 9381, 5172, 12174, 9566, 2288, 16712, 4587, 9640, 3555, 497, 37037, 15730, 8717, 9381, 5172, 12174, 9566, 2288, 16712, 4587, 9640, 3555, 497, 7251, 3555, 4587, 7578, 11933, 24401, 5718, 104, 1829, 9307, 28239, 47432, 3660, 29538, 316, 30767, 16373, 3215, 497], "avg_logprob": -0.16441442005269163, "compression_ratio": 1.8203883495145632, "no_speech_prob": 0.0, "words": [{"start": 588.14, "end": 588.64, "word": "والـ", "probability": 0.3633626302083333}, {"start": 588.64, "end": 588.98, "word": " A", "probability": 0.4619140625}, {"start": 588.98, "end": 589.68, "word": " زائد", "probability": 0.6651611328125}, {"start": 589.68, "end": 589.9, "word": " R", "probability": 0.9140625}, {"start": 589.9, "end": 590.18, "word": " إذا", "probability": 0.65576171875}, {"start": 590.18, "end": 591.12, "word": " بتذكروا", "probability": 0.892822265625}, {"start": 591.12, "end": 591.74, "word": " و", "probability": 0.66748046875}, {"start": 591.74, "end": 591.88, "word": " احنا", "probability": 0.7521158854166666}, {"start": 591.88, "end": 592.08, "word": " لما", "probability": 0.956298828125}, {"start": 592.08, "end": 592.7, "word": " اتكلمنا", "probability": 0.884423828125}, {"start": 592.7, "end": 592.8, "word": " في", "probability": 0.9248046875}, {"start": 592.8, "end": 593.16, "word": " الجزء", "probability": 0.9716796875}, {"start": 593.16, "end": 593.58, "word": " النظري", "probability": 0.9010416666666666}, {"start": 593.58, "end": 594.08, "word": " تبع", "probability": 0.774169921875}, {"start": 594.08, "end": 594.24, "word": " ال", "probability": 0.90380859375}, {"start": 594.24, "end": 594.68, "word": " power", "probability": 0.55322265625}, {"start": 594.68, "end": 595.46, "word": " series", "probability": 0.888671875}, {"start": 595.46, "end": 596.24, "word": " نقول", "probability": 0.631591796875}, {"start": 596.24, "end": 596.62, "word": " لو", "probability": 0.462890625}, {"start": 596.62, "end": 597.28, "word": " عندنا", "probability": 0.970947265625}, {"start": 597.28, "end": 597.72, "word": " فترة", "probability": 0.9938151041666666}, {"start": 597.72, "end": 598.06, "word": " زي", "probability": 0.96240234375}, {"start": 598.06, "end": 598.66, "word": " الفترة", "probability": 0.9796549479166666}, {"start": 598.66, "end": 599.2, "word": " هذه", "probability": 0.8037109375}, {"start": 599.2, "end": 599.84, "word": " و", "probability": 0.7490234375}, {"start": 599.84, "end": 600.42, "word": " أجت", "probability": 0.6848958333333334}, {"start": 600.42, "end": 600.9, "word": " A", "probability": 0.814453125}, {"start": 600.9, "end": 601.2, "word": " في", "probability": 0.89794921875}, {"start": 601.2, "end": 602.16, "word": " منتصف", "probability": 0.9835205078125}, {"start": 602.16, "end": 602.9, "word": " الفترة", "probability": 0.9910481770833334}, {"start": 602.9, "end": 603.76, "word": " كان", "probability": 0.931640625}, {"start": 603.76, "end": 604.24, "word": " هذا", "probability": 0.9267578125}, {"start": 604.24, "end": 604.76, "word": " نصف", "probability": 0.9921875}, {"start": 604.76, "end": 605.08, "word": " قطر", "probability": 0.8914388020833334}, {"start": 605.08, "end": 606.14, "word": " التقارب", "probability": 0.9931640625}, {"start": 606.14, "end": 606.66, "word": " R", "probability": 0.921875}, {"start": 606.66, "end": 607.6, "word": " وهذا", "probability": 0.7047119140625}, {"start": 607.6, "end": 608.1, "word": " نصف", "probability": 0.9962565104166666}, {"start": 608.1, "end": 608.42, "word": " قطر", "probability": 0.9938151041666666}, {"start": 608.42, "end": 609.22, "word": " التقارب", "probability": 0.9925537109375}, {"start": 609.22, "end": 609.64, "word": " R", "probability": 0.9501953125}, {"start": 609.64, "end": 610.38, "word": " يبقى", "probability": 0.9710693359375}, {"start": 610.38, "end": 611.38, "word": " إحداثيات", "probability": 0.8993326822916666}, {"start": 611.38, "end": 611.96, "word": " النقطة", "probability": 0.9837239583333334}, {"start": 611.96, "end": 612.32, "word": " هذه", "probability": 0.7939453125}, {"start": 612.32, "end": 612.82, "word": " A", "probability": 0.90380859375}, {"start": 612.82, "end": 613.52, "word": " زائد", "probability": 0.9498697916666666}, {"start": 613.52, "end": 613.92, "word": " R", "probability": 0.990234375}], "temperature": 1.0}, {"id": 25, "seek": 63254, "start": 614.08, "end": 632.54, "text": "وإحداثيات النقطة هذه لإيه الناقصات بعد النقطة هذه ال series مختلفة وقبل النقطة هذه ال series كذلك مختلفة وفي الداخل هنا ال series مالها مختلفة بالشكل اللي عندنا هذا", "tokens": [2407, 28814, 24401, 5718, 104, 1829, 9307, 28239, 47432, 3660, 29538, 5296, 28814, 1829, 3224, 28239, 995, 4587, 9381, 9307, 39182, 28239, 47432, 3660, 29538, 2423, 2638, 3714, 46456, 46538, 3660, 4032, 4587, 36150, 28239, 47432, 3660, 29538, 2423, 2638, 9122, 8848, 23275, 3714, 46456, 46538, 3660, 4032, 41185, 32748, 47283, 1211, 34105, 2423, 2638, 3714, 6027, 11296, 3714, 46456, 46538, 3660, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.29863555246675516, "compression_ratio": 1.972027972027972, "no_speech_prob": 0.0, "words": [{"start": 614.08, "end": 615.56, "word": "وإحداثيات", "probability": 0.7065604073660714}, {"start": 615.56, "end": 616.22, "word": " النقطة", "probability": 0.9500325520833334}, {"start": 616.22, "end": 616.66, "word": " هذه", "probability": 0.76513671875}, {"start": 616.66, "end": 618.18, "word": " لإيه", "probability": 0.6507568359375}, {"start": 618.18, "end": 619.66, "word": " الناقصات", "probability": 0.81669921875}, {"start": 619.66, "end": 620.66, "word": " بعد", "probability": 0.4072265625}, {"start": 620.66, "end": 621.24, "word": " النقطة", "probability": 0.9480794270833334}, {"start": 621.24, "end": 621.58, "word": " هذه", "probability": 0.890625}, {"start": 621.58, "end": 621.8, "word": " ال", "probability": 0.759765625}, {"start": 621.8, "end": 622.06, "word": " series", "probability": 0.77734375}, {"start": 622.06, "end": 623.36, "word": " مختلفة", "probability": 0.53887939453125}, {"start": 623.36, "end": 624.22, "word": " وقبل", "probability": 0.78759765625}, {"start": 624.22, "end": 624.8, "word": " النقطة", "probability": 0.96533203125}, {"start": 624.8, "end": 625.1, "word": " هذه", "probability": 0.919921875}, {"start": 625.1, "end": 625.28, "word": " ال", "probability": 0.931640625}, {"start": 625.28, "end": 625.52, "word": " series", "probability": 0.94482421875}, {"start": 625.52, "end": 626.26, "word": " كذلك", "probability": 0.8981119791666666}, {"start": 626.26, "end": 627.24, "word": " مختلفة", "probability": 0.9732666015625}, {"start": 627.24, "end": 627.82, "word": " وفي", "probability": 0.85693359375}, {"start": 627.82, "end": 628.6, "word": " الداخل", "probability": 0.9806315104166666}, {"start": 628.6, "end": 629.0, "word": " هنا", "probability": 0.66845703125}, {"start": 629.0, "end": 629.16, "word": " ال", "probability": 0.96728515625}, {"start": 629.16, "end": 629.46, "word": " series", "probability": 0.953125}, {"start": 629.46, "end": 630.06, "word": " مالها", "probability": 0.7055257161458334}, {"start": 630.06, "end": 631.42, "word": " مختلفة", "probability": 0.610992431640625}, {"start": 631.42, "end": 631.94, "word": " بالشكل", "probability": 0.8946940104166666}, {"start": 631.94, "end": 632.12, "word": " اللي", "probability": 0.93408203125}, {"start": 632.12, "end": 632.38, "word": " عندنا", "probability": 0.6846923828125}, {"start": 632.38, "end": 632.54, "word": " هذا", "probability": 0.57958984375}], "temperature": 1.0}, {"id": 26, "seek": 65357, "start": 633.21, "end": 653.57, "text": "فبقول لو ال series converge على الفترة اللي عندنا هذه it defines a function يعني ال series هذه يمكن كتابتها على شكل function f of x تساوي هذا ال summation صارت هذه فترة التقارب لهذه دالة اللي هي تعتبر domain لمين", "tokens": [5172, 3555, 39648, 45164, 2423, 2638, 41881, 15844, 27188, 2655, 25720, 13672, 1829, 43242, 8315, 29538, 309, 23122, 257, 2445, 37495, 22653, 2423, 2638, 29538, 7251, 43020, 9122, 2655, 16758, 2655, 11296, 15844, 13412, 28820, 2445, 283, 295, 2031, 6055, 3794, 995, 45865, 23758, 2423, 28811, 20328, 9640, 2655, 29538, 6156, 2655, 25720, 16712, 4587, 9640, 3555, 46740, 24192, 11778, 6027, 3660, 13672, 1829, 39896, 6055, 34268, 26890, 9274, 32767, 9957], "avg_logprob": -0.20876735573013624, "compression_ratio": 1.6443298969072164, "no_speech_prob": 0.0, "words": [{"start": 633.21, "end": 633.79, "word": "فبقول", "probability": 0.584716796875}, {"start": 633.79, "end": 634.09, "word": " لو", "probability": 0.68310546875}, {"start": 634.09, "end": 634.27, "word": " ال", "probability": 0.68115234375}, {"start": 634.27, "end": 634.51, "word": " series", "probability": 0.6884765625}, {"start": 634.51, "end": 635.21, "word": " converge", "probability": 0.312255859375}, {"start": 635.21, "end": 635.51, "word": " على", "probability": 0.72802734375}, {"start": 635.51, "end": 636.13, "word": " الفترة", "probability": 0.9788411458333334}, {"start": 636.13, "end": 636.39, "word": " اللي", "probability": 0.75244140625}, {"start": 636.39, "end": 636.83, "word": " عندنا", "probability": 0.9833984375}, {"start": 636.83, "end": 637.17, "word": " هذه", "probability": 0.413818359375}, {"start": 637.17, "end": 637.51, "word": " it", "probability": 0.48095703125}, {"start": 637.51, "end": 638.51, "word": " defines", "probability": 0.93212890625}, {"start": 638.51, "end": 638.93, "word": " a", "probability": 0.97021484375}, {"start": 638.93, "end": 639.79, "word": " function", "probability": 0.9697265625}, {"start": 639.79, "end": 640.75, "word": " يعني", "probability": 0.8388671875}, {"start": 640.75, "end": 640.93, "word": " ال", "probability": 0.919921875}, {"start": 640.93, "end": 641.39, "word": " series", "probability": 0.95947265625}, {"start": 641.39, "end": 641.87, "word": " هذه", "probability": 0.7783203125}, {"start": 641.87, "end": 642.33, "word": " يمكن", "probability": 0.97216796875}, {"start": 642.33, "end": 643.17, "word": " كتابتها", "probability": 0.90576171875}, {"start": 643.17, "end": 643.45, "word": " على", "probability": 0.9345703125}, {"start": 643.45, "end": 643.99, "word": " شكل", "probability": 0.985595703125}, {"start": 643.99, "end": 644.83, "word": " function", "probability": 0.9326171875}, {"start": 644.83, "end": 645.59, "word": " f", "probability": 0.72021484375}, {"start": 645.59, "end": 645.87, "word": " of", "probability": 0.70166015625}, {"start": 645.87, "end": 646.17, "word": " x", "probability": 0.90283203125}, {"start": 646.17, "end": 646.91, "word": " تساوي", "probability": 0.8731689453125}, {"start": 646.91, "end": 647.43, "word": " هذا", "probability": 0.86376953125}, {"start": 647.43, "end": 647.57, "word": " ال", "probability": 0.76513671875}, {"start": 647.57, "end": 648.23, "word": " summation", "probability": 0.8974609375}, {"start": 648.23, "end": 649.29, "word": " صارت", "probability": 0.8728841145833334}, {"start": 649.29, "end": 649.59, "word": " هذه", "probability": 0.82958984375}, {"start": 649.59, "end": 650.13, "word": " فترة", "probability": 0.9786783854166666}, {"start": 650.13, "end": 650.95, "word": " التقارب", "probability": 0.9805908203125}, {"start": 650.95, "end": 651.33, "word": " لهذه", "probability": 0.911376953125}, {"start": 651.33, "end": 651.67, "word": " دالة", "probability": 0.6895345052083334}, {"start": 651.67, "end": 651.75, "word": " اللي", "probability": 0.7890625}, {"start": 651.75, "end": 651.87, "word": " هي", "probability": 0.421630859375}, {"start": 651.87, "end": 652.45, "word": " تعتبر", "probability": 0.97412109375}, {"start": 652.45, "end": 652.93, "word": " domain", "probability": 0.93798828125}, {"start": 652.93, "end": 653.57, "word": " لمين", "probability": 0.830078125}], "temperature": 1.0}, {"id": 27, "seek": 67126, "start": 654.04, "end": 671.26, "text": "Domain للدالة F of X يعني احنا لان كتبنا ال function على شكل power series بقولي هذه الدالة لها مشتقات من جميع الرتب خلال فترة التقارب", "tokens": [35, 298, 491, 24976, 3215, 6027, 3660, 479, 295, 1783, 37495, 22653, 1975, 5016, 8315, 5296, 7649, 9122, 2655, 3555, 8315, 2423, 2445, 15844, 13412, 28820, 1347, 2638, 4724, 39648, 1829, 29538, 32748, 6027, 3660, 5296, 11296, 37893, 2655, 4587, 9307, 9154, 10874, 2304, 40228, 34892, 2655, 3555, 16490, 1211, 6027, 6156, 2655, 25720, 16712, 4587, 9640, 3555], "avg_logprob": -0.24655719328734835, "compression_ratio": 1.3417721518987342, "no_speech_prob": 0.0, "words": [{"start": 654.04, "end": 654.7, "word": "Domain", "probability": 0.6074422200520834}, {"start": 654.7, "end": 655.48, "word": " للدالة", "probability": 0.814453125}, {"start": 655.48, "end": 655.74, "word": " F", "probability": 0.515625}, {"start": 655.74, "end": 655.96, "word": " of", "probability": 0.6513671875}, {"start": 655.96, "end": 656.28, "word": " X", "probability": 0.94775390625}, {"start": 656.28, "end": 658.44, "word": " يعني", "probability": 0.592041015625}, {"start": 658.44, "end": 658.92, "word": " احنا", "probability": 0.775146484375}, {"start": 658.92, "end": 659.18, "word": " لان", "probability": 0.53466796875}, {"start": 659.18, "end": 660.1, "word": " كتبنا", "probability": 0.9609375}, {"start": 660.1, "end": 660.28, "word": " ال", "probability": 0.89697265625}, {"start": 660.28, "end": 660.82, "word": " function", "probability": 0.8251953125}, {"start": 660.82, "end": 661.32, "word": " على", "probability": 0.8486328125}, {"start": 661.32, "end": 662.0, "word": " شكل", "probability": 0.982666015625}, {"start": 662.0, "end": 663.02, "word": " power", "probability": 0.61767578125}, {"start": 663.02, "end": 663.76, "word": " series", "probability": 0.8837890625}, {"start": 663.76, "end": 664.82, "word": " بقولي", "probability": 0.3963216145833333}, {"start": 664.82, "end": 665.2, "word": " هذه", "probability": 0.9482421875}, {"start": 665.2, "end": 665.8, "word": " الدالة", "probability": 0.9817708333333334}, {"start": 665.8, "end": 666.12, "word": " لها", "probability": 0.9384765625}, {"start": 666.12, "end": 667.06, "word": " مشتقات", "probability": 0.8690185546875}, {"start": 667.06, "end": 667.42, "word": " من", "probability": 0.99462890625}, {"start": 667.42, "end": 668.22, "word": " جميع", "probability": 0.9938151041666666}, {"start": 668.22, "end": 669.1, "word": " الرتب", "probability": 0.8291015625}, {"start": 669.1, "end": 669.76, "word": " خلال", "probability": 0.984375}, {"start": 669.76, "end": 670.38, "word": " فترة", "probability": 0.99755859375}, {"start": 670.38, "end": 671.26, "word": " التقارب", "probability": 0.9954833984375}], "temperature": 1.0}, {"id": 28, "seek": 68749, "start": 671.35, "end": 687.49, "text": "تبع السيريز كيف؟ كالتالي يبقى احنا لو جينا و قولنا هذا ال F of X اللي تساوي ال summation يبقى C0 زيد C1 في X نقص ال A", "tokens": [2655, 3555, 3615, 21136, 13546, 1829, 11622, 9122, 33911, 22807, 9122, 6027, 2655, 6027, 1829, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 45164, 10874, 1829, 8315, 4032, 12174, 12610, 8315, 23758, 2423, 479, 295, 1783, 13672, 1829, 6055, 3794, 995, 45865, 2423, 28811, 7251, 3555, 4587, 7578, 383, 15, 30767, 1829, 3215, 383, 16, 8978, 1783, 8717, 4587, 9381, 2423, 316], "avg_logprob": -0.26411291091672834, "compression_ratio": 1.323943661971831, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 671.35, "end": 671.93, "word": "تبع", "probability": 0.5521647135416666}, {"start": 671.93, "end": 672.45, "word": " السيريز", "probability": 0.65435791015625}, {"start": 672.45, "end": 673.05, "word": " كيف؟", "probability": 0.7918294270833334}, {"start": 673.05, "end": 673.81, "word": " كالتالي", "probability": 0.90556640625}, {"start": 673.81, "end": 674.69, "word": " يبقى", "probability": 0.924072265625}, {"start": 674.69, "end": 675.17, "word": " احنا", "probability": 0.9225260416666666}, {"start": 675.17, "end": 676.31, "word": " لو", "probability": 0.78515625}, {"start": 676.31, "end": 676.75, "word": " جينا", "probability": 0.9757486979166666}, {"start": 676.75, "end": 676.89, "word": " و", "probability": 0.90185546875}, {"start": 676.89, "end": 677.25, "word": " قولنا", "probability": 0.7809244791666666}, {"start": 677.25, "end": 677.69, "word": " هذا", "probability": 0.548828125}, {"start": 677.69, "end": 677.93, "word": " ال", "probability": 0.6591796875}, {"start": 677.93, "end": 678.33, "word": " F", "probability": 0.51318359375}, {"start": 678.33, "end": 678.83, "word": " of", "probability": 0.61181640625}, {"start": 678.83, "end": 679.37, "word": " X", "probability": 0.89990234375}, {"start": 679.37, "end": 680.19, "word": " اللي", "probability": 0.806396484375}, {"start": 680.19, "end": 680.81, "word": " تساوي", "probability": 0.7708740234375}, {"start": 680.81, "end": 680.95, "word": " ال", "probability": 0.83544921875}, {"start": 680.95, "end": 681.65, "word": " summation", "probability": 0.75537109375}, {"start": 681.65, "end": 682.79, "word": " يبقى", "probability": 0.965087890625}, {"start": 682.79, "end": 683.85, "word": " C0", "probability": 0.4625244140625}, {"start": 683.85, "end": 684.83, "word": " زيد", "probability": 0.6502278645833334}, {"start": 684.83, "end": 685.49, "word": " C1", "probability": 0.95263671875}, {"start": 685.49, "end": 685.83, "word": " في", "probability": 0.89404296875}, {"start": 685.83, "end": 686.29, "word": " X", "probability": 0.669921875}, {"start": 686.29, "end": 686.93, "word": " نقص", "probability": 0.86669921875}, {"start": 686.93, "end": 687.15, "word": " ال", "probability": 0.6298828125}, {"start": 687.15, "end": 687.49, "word": " A", "probability": 0.59716796875}], "temperature": 1.0}, {"id": 29, "seek": 70732, "start": 687.86, "end": 707.32, "text": "زاد C2 في X نقص A لكل تربية زاد C3 في X نقص A لكل تكعيب زاد زاد CN في X نقص A to the power N زاد الاخرين", "tokens": [11622, 18513, 383, 17, 8978, 1783, 8717, 4587, 9381, 316, 5296, 28820, 6055, 25513, 10632, 30767, 18513, 383, 18, 8978, 1783, 8717, 4587, 9381, 316, 5296, 28820, 6055, 4117, 3615, 1829, 3555, 30767, 18513, 30767, 18513, 14589, 8978, 1783, 8717, 4587, 9381, 316, 281, 264, 1347, 426, 30767, 18513, 2423, 47283, 2288, 9957], "avg_logprob": -0.17418982060971083, "compression_ratio": 1.5392156862745099, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 687.86, "end": 688.4, "word": "زاد", "probability": 0.664306640625}, {"start": 688.4, "end": 689.36, "word": " C2", "probability": 0.6044921875}, {"start": 689.36, "end": 689.68, "word": " في", "probability": 0.6201171875}, {"start": 689.68, "end": 690.16, "word": " X", "probability": 0.63623046875}, {"start": 690.16, "end": 690.86, "word": " نقص", "probability": 0.9324544270833334}, {"start": 690.86, "end": 691.36, "word": " A", "probability": 0.480712890625}, {"start": 691.36, "end": 691.92, "word": " لكل", "probability": 0.94189453125}, {"start": 691.92, "end": 692.7, "word": " تربية", "probability": 0.7373046875}, {"start": 692.7, "end": 693.64, "word": " زاد", "probability": 0.75}, {"start": 693.64, "end": 694.62, "word": " C3", "probability": 0.96142578125}, {"start": 694.62, "end": 694.94, "word": " في", "probability": 0.9599609375}, {"start": 694.94, "end": 695.42, "word": " X", "probability": 0.99609375}, {"start": 695.42, "end": 696.04, "word": " نقص", "probability": 0.9933268229166666}, {"start": 696.04, "end": 696.48, "word": " A", "probability": 0.9873046875}, {"start": 696.48, "end": 696.98, "word": " لكل", "probability": 0.98291015625}, {"start": 696.98, "end": 697.72, "word": " تكعيب", "probability": 0.97529296875}, {"start": 697.72, "end": 698.88, "word": " زاد", "probability": 0.922607421875}, {"start": 698.88, "end": 699.56, "word": " زاد", "probability": 0.94970703125}, {"start": 699.56, "end": 700.52, "word": " CN", "probability": 0.427490234375}, {"start": 700.52, "end": 701.6, "word": " في", "probability": 0.951171875}, {"start": 701.6, "end": 702.22, "word": " X", "probability": 0.99609375}, {"start": 702.22, "end": 702.92, "word": " نقص", "probability": 0.9934895833333334}, {"start": 702.92, "end": 703.62, "word": " A", "probability": 0.98095703125}, {"start": 703.62, "end": 703.96, "word": " to", "probability": 0.85986328125}, {"start": 703.96, "end": 704.2, "word": " the", "probability": 0.8876953125}, {"start": 704.2, "end": 704.86, "word": " power", "probability": 0.86669921875}, {"start": 704.86, "end": 705.36, "word": " N", "probability": 0.8974609375}, {"start": 705.36, "end": 706.3, "word": " زاد", "probability": 0.947265625}, {"start": 706.3, "end": 707.32, "word": " الاخرين", "probability": 0.7086181640625}], "temperature": 1.0}, {"id": 30, "seek": 72447, "start": 708.01, "end": 724.47, "text": "يبقى هذا الـ function كتبناها على شكل ال power series اللي قدامي يعنى اللي انا بدى ابدأ اشتق لو قلت f prime of x يبقى الأول هذا مشتقته بقداش مش هيظهر عندى", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 39184, 2445, 9122, 2655, 3555, 8315, 11296, 15844, 13412, 28820, 2423, 1347, 2638, 13672, 1829, 12174, 3215, 10943, 1829, 37495, 1863, 7578, 13672, 1829, 1975, 8315, 47525, 7578, 1975, 44510, 10721, 1975, 8592, 2655, 4587, 45164, 12174, 1211, 2655, 283, 5835, 295, 2031, 7251, 3555, 4587, 7578, 16247, 12610, 23758, 37893, 2655, 38149, 3224, 4724, 28543, 33599, 37893, 39896, 19913, 3224, 2288, 43242, 7578], "avg_logprob": -0.27970950368424535, "compression_ratio": 1.4821428571428572, "no_speech_prob": 0.0, "words": [{"start": 708.01, "end": 708.57, "word": "يبقى", "probability": 0.674591064453125}, {"start": 708.57, "end": 708.91, "word": " هذا", "probability": 0.35205078125}, {"start": 708.91, "end": 709.03, "word": " الـ", "probability": 0.46002197265625}, {"start": 709.03, "end": 709.57, "word": " function", "probability": 0.845703125}, {"start": 709.57, "end": 710.43, "word": " كتبناها", "probability": 0.91962890625}, {"start": 710.43, "end": 710.67, "word": " على", "probability": 0.9033203125}, {"start": 710.67, "end": 711.15, "word": " شكل", "probability": 0.94873046875}, {"start": 711.15, "end": 711.33, "word": " ال", "probability": 0.8828125}, {"start": 711.33, "end": 711.65, "word": " power", "probability": 0.4189453125}, {"start": 711.65, "end": 712.17, "word": " series", "probability": 0.91259765625}, {"start": 712.17, "end": 712.35, "word": " اللي", "probability": 0.859130859375}, {"start": 712.35, "end": 713.01, "word": " قدامي", "probability": 0.8895263671875}, {"start": 713.01, "end": 713.35, "word": " يعنى", "probability": 0.6355794270833334}, {"start": 713.35, "end": 713.91, "word": " اللي", "probability": 0.4998779296875}, {"start": 713.91, "end": 714.09, "word": " انا", "probability": 0.7249755859375}, {"start": 714.09, "end": 714.41, "word": " بدى", "probability": 0.695556640625}, {"start": 714.41, "end": 714.81, "word": " ابدأ", "probability": 0.6890462239583334}, {"start": 714.81, "end": 715.43, "word": " اشتق", "probability": 0.9259033203125}, {"start": 715.43, "end": 715.77, "word": " لو", "probability": 0.73388671875}, {"start": 715.77, "end": 716.29, "word": " قلت", "probability": 0.8990885416666666}, {"start": 716.29, "end": 716.83, "word": " f", "probability": 0.52734375}, {"start": 716.83, "end": 717.81, "word": " prime", "probability": 0.69091796875}, {"start": 717.81, "end": 718.25, "word": " of", "probability": 0.96630859375}, {"start": 718.25, "end": 718.71, "word": " x", "probability": 0.84326171875}, {"start": 718.71, "end": 719.95, "word": " يبقى", "probability": 0.9593505859375}, {"start": 719.95, "end": 720.37, "word": " الأول", "probability": 0.786376953125}, {"start": 720.37, "end": 720.69, "word": " هذا", "probability": 0.791015625}, {"start": 720.69, "end": 721.37, "word": " مشتقته", "probability": 0.8758544921875}, {"start": 721.37, "end": 722.23, "word": " بقداش", "probability": 0.8982747395833334}, {"start": 722.23, "end": 723.37, "word": " مش", "probability": 0.693359375}, {"start": 723.37, "end": 724.01, "word": " هيظهر", "probability": 0.9432373046875}, {"start": 724.01, "end": 724.47, "word": " عندى", "probability": 0.86474609375}], "temperature": 1.0}, {"id": 31, "seek": 75421, "start": 725.29, "end": 754.21, "text": "C1 مقدار ثابت الـA مشتقتها بـ0 مشتقت الـX بـ1 في C1 مقدار ثابت C1 فقط C2 مقدار ثابت يبقى الأس في الجوس مرفوع لنفس الأس مطروح منه واحد في تفاضل مداخل القوس اللي هو مقدار ثابت C1 مقدار ثابت C2 مقدار ثابت C1 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 مقدار ثابت C2 م", "tokens": [34, 16, 3714, 28543, 9640, 38637, 16758, 2655, 2423, 39184, 32, 37893, 2655, 38149, 11296, 4724, 39184, 15, 37893, 2655, 38149, 2423, 39184, 55, 4724, 39184, 16, 8978, 383, 16, 3714, 28543, 9640, 38637, 16758, 2655, 383, 16, 6156, 47432, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 7251, 3555, 4587, 7578, 16247, 3794, 8978, 25724, 41779, 3714, 28480, 45367, 5296, 1863, 36178, 16247, 3794, 3714, 9566, 32887, 5016, 9154, 3224, 36764, 24401, 8978, 6055, 5172, 46958, 1211, 3714, 3215, 47283, 1211, 25062, 41779, 13672, 1829, 31439, 3714, 28543, 9640, 38637, 16758, 2655, 383, 16, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 16, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714, 28543, 9640, 38637, 16758, 2655, 383, 17, 3714], "avg_logprob": -0.15833333757188586, "compression_ratio": 3.8901734104046244, "no_speech_prob": 0.0, "words": [{"start": 725.29, "end": 725.99, "word": "C1", "probability": 0.59259033203125}, {"start": 725.99, "end": 726.57, "word": " مقدار", "probability": 0.80908203125}, {"start": 726.57, "end": 727.03, "word": " ثابت", "probability": 0.9944661458333334}, {"start": 727.03, "end": 727.87, "word": " الـA", "probability": 0.3214925130208333}, {"start": 727.87, "end": 728.65, "word": " مشتقتها", "probability": 0.849853515625}, {"start": 728.65, "end": 729.09, "word": " بـ0", "probability": 0.5677897135416666}, {"start": 729.09, "end": 729.73, "word": " مشتقت", "probability": 0.7330729166666666}, {"start": 729.73, "end": 730.35, "word": " الـX", "probability": 0.65966796875}, {"start": 730.35, "end": 731.51, "word": " بـ1", "probability": 0.7928059895833334}, {"start": 731.51, "end": 731.71, "word": " في", "probability": 0.72119140625}, {"start": 731.71, "end": 732.31, "word": " C1", "probability": 0.907470703125}, {"start": 732.31, "end": 732.73, "word": " مقدار", "probability": 0.8650716145833334}, {"start": 732.73, "end": 733.21, "word": " ثابت", "probability": 0.853515625}, {"start": 733.21, "end": 734.35, "word": " C1", "probability": 0.5513916015625}, {"start": 734.35, "end": 735.01, "word": " فقط", "probability": 0.91748046875}, {"start": 735.01, "end": 737.19, "word": " C2", "probability": 0.6427001953125}, {"start": 737.19, "end": 737.67, "word": " مقدار", "probability": 0.9737955729166666}, {"start": 737.67, "end": 738.25, "word": " ثابت", "probability": 0.9959309895833334}, {"start": 738.25, "end": 739.09, "word": " يبقى", "probability": 0.9439697265625}, {"start": 739.09, "end": 739.75, "word": " الأس", "probability": 0.70751953125}, {"start": 739.75, "end": 740.65, "word": " في", "probability": 0.9091796875}, {"start": 740.65, "end": 741.61, "word": " الجوس", "probability": 0.55615234375}, {"start": 741.61, "end": 742.77, "word": " مرفوع", "probability": 0.8671875}, {"start": 742.77, "end": 743.25, "word": " لنفس", "probability": 0.9500325520833334}, {"start": 743.25, "end": 743.69, "word": " الأس", "probability": 0.93212890625}, {"start": 743.69, "end": 744.29, "word": " مطروح", "probability": 0.867431640625}, {"start": 744.29, "end": 744.65, "word": " منه", "probability": 0.93359375}, {"start": 744.65, "end": 745.11, "word": " واحد", "probability": 0.84326171875}, {"start": 745.11, "end": 745.61, "word": " في", "probability": 0.9462890625}, {"start": 745.61, "end": 746.29, "word": " تفاضل", "probability": 0.9818115234375}, {"start": 746.29, "end": 746.87, "word": " مداخل", "probability": 0.9425048828125}, {"start": 746.87, "end": 747.25, "word": " القوس", "probability": 0.9404296875}, {"start": 747.25, "end": 747.41, "word": " اللي", "probability": 0.76123046875}, {"start": 747.41, "end": 747.55, "word": " هو", "probability": 0.98779296875}, {"start": 747.55, "end": 747.81, "word": " مقدار", "probability": 0.8460286458333334}, {"start": 747.81, "end": 748.29, "word": " ثابت", "probability": 0.9500325520833334}, {"start": 748.29, "end": 748.29, "word": " C1", "probability": 0.454833984375}, {"start": 748.29, "end": 748.29, "word": " مقدار", "probability": 0.728515625}, {"start": 748.29, "end": 748.29, "word": " ثابت", "probability": 0.9879557291666666}, {"start": 748.29, "end": 749.09, "word": " C2", "probability": 0.691162109375}, {"start": 749.09, "end": 749.09, "word": " مقدار", "probability": 0.8385416666666666}, {"start": 749.09, "end": 749.09, "word": " ثابت", "probability": 0.98828125}, {"start": 749.09, "end": 749.09, "word": " C1", "probability": 0.4930419921875}, {"start": 749.09, "end": 749.09, "word": " مقدار", "probability": 0.9012044270833334}, {"start": 749.09, "end": 749.13, "word": " ثابت", "probability": 0.9908854166666666}, {"start": 749.13, "end": 749.21, "word": " C2", "probability": 0.7900390625}, {"start": 749.21, "end": 749.39, "word": " مقدار", "probability": 0.8798828125}, {"start": 749.39, "end": 749.91, "word": " ثابت", "probability": 0.9892578125}, {"start": 749.91, "end": 749.91, "word": " C2", "probability": 0.850341796875}, {"start": 749.91, "end": 750.17, "word": " مقدار", "probability": 0.9305013020833334}, {"start": 750.17, "end": 750.17, "word": " ثابت", "probability": 0.98681640625}, {"start": 750.17, "end": 750.67, "word": " C2", "probability": 0.88671875}, {"start": 750.67, "end": 751.77, "word": " مقدار", "probability": 0.95849609375}, {"start": 751.77, "end": 752.19, "word": " ثابت", "probability": 0.9866536458333334}, {"start": 752.19, "end": 752.91, "word": " C2", "probability": 0.896484375}, {"start": 752.91, "end": 753.13, "word": " مقدار", "probability": 0.97216796875}, {"start": 753.13, "end": 753.15, "word": " ثابت", "probability": 0.98779296875}, {"start": 753.15, "end": 753.97, "word": " C2", "probability": 0.9013671875}, {"start": 753.97, "end": 753.97, "word": " مقدار", "probability": 0.9788411458333334}, {"start": 753.97, "end": 754.15, "word": " ثابت", "probability": 0.98876953125}, {"start": 754.15, "end": 754.19, "word": " C2", "probability": 0.90185546875}, {"start": 754.19, "end": 754.19, "word": " مقدار", "probability": 0.9835611979166666}, {"start": 754.19, "end": 754.19, "word": " ثابت", "probability": 0.9895833333333334}, {"start": 754.19, "end": 754.19, "word": " C2", "probability": 0.898681640625}, {"start": 754.19, "end": 754.19, "word": " مقدار", "probability": 0.9855143229166666}, {"start": 754.19, "end": 754.21, "word": " ثابت", "probability": 0.9899088541666666}, {"start": 754.21, "end": 754.21, "word": " C2", "probability": 0.895263671875}, {"start": 754.21, "end": 754.21, "word": " مقدار", "probability": 0.98681640625}, {"start": 754.21, "end": 754.21, "word": " ثابت", "probability": 0.9899088541666666}, {"start": 754.21, "end": 754.21, "word": " C2", "probability": 0.892822265625}, {"start": 754.21, "end": 754.21, "word": " مقدار", "probability": 0.9873046875}, {"start": 754.21, "end": 754.21, "word": " ثابت", "probability": 0.9899088541666666}, {"start": 754.21, "end": 754.21, "word": " C2", "probability": 0.885498046875}, {"start": 754.21, "end": 754.21, "word": " مقدار", "probability": 0.9876302083333334}, {"start": 754.21, "end": 754.21, "word": " ثابت", "probability": 0.98974609375}, {"start": 754.21, "end": 754.21, "word": " C2", "probability": 0.881103515625}, {"start": 754.21, "end": 754.21, "word": " مقدار", "probability": 0.9874674479166666}, {"start": 754.21, "end": 754.21, "word": " ثابت", "probability": 0.9895833333333334}, {"start": 754.21, "end": 754.21, "word": " C2", "probability": 0.88232421875}, {"start": 754.21, "end": 754.21, "word": " مقدار", "probability": 0.9871419270833334}, {"start": 754.21, "end": 754.21, "word": " ثابت", "probability": 0.9894205729166666}, {"start": 754.21, "end": 754.21, "word": " C2", "probability": 0.8837890625}, {"start": 754.21, "end": 754.21, "word": " مقدار", "probability": 0.9864908854166666}, {"start": 754.21, "end": 754.21, "word": " ثابت", "probability": 0.98828125}, {"start": 754.21, "end": 754.21, "word": " C2", "probability": 0.901611328125}, {"start": 754.21, "end": 754.21, "word": " م", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 32, "seek": 78361, "start": 754.33, "end": 783.61, "text": "زائد ثلاثة C ثلاثة X ناقص ال A لكل تربية في مشتقة مداخل قصر اللي هو بقداش بواحد زائد زائد N CN X ناقص ال A to the power N plus one زائد الاخرين يبقى هذا الشغل اللي اشتغلنا اسمه differentiation term by term", "tokens": [11622, 16373, 3215, 38637, 1211, 5718, 104, 3660, 383, 38637, 1211, 5718, 104, 3660, 1783, 8717, 995, 4587, 9381, 2423, 316, 5296, 28820, 6055, 25513, 10632, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 12174, 9381, 2288, 13672, 1829, 31439, 4724, 28543, 33599, 4724, 14407, 24401, 30767, 16373, 3215, 30767, 16373, 3215, 426, 14589, 1783, 8717, 995, 4587, 9381, 2423, 316, 281, 264, 1347, 426, 1804, 472, 30767, 16373, 3215, 2423, 47283, 2288, 9957, 7251, 3555, 4587, 7578, 23758, 25124, 17082, 1211, 13672, 1829, 1975, 8592, 2655, 17082, 1211, 8315, 24525, 2304, 3224, 38902, 1433, 538, 1433], "avg_logprob": -0.20137117164475576, "compression_ratio": 1.5566502463054188, "no_speech_prob": 0.0, "words": [{"start": 754.33, "end": 755.05, "word": "زائد", "probability": 0.6695149739583334}, {"start": 755.05, "end": 755.79, "word": " ثلاثة", "probability": 0.833154296875}, {"start": 755.79, "end": 756.11, "word": " C", "probability": 0.3271484375}, {"start": 756.11, "end": 757.05, "word": " ثلاثة", "probability": 0.9482421875}, {"start": 757.05, "end": 757.71, "word": " X", "probability": 0.94580078125}, {"start": 757.71, "end": 758.39, "word": " ناقص", "probability": 0.8447265625}, {"start": 758.39, "end": 758.63, "word": " ال", "probability": 0.77099609375}, {"start": 758.63, "end": 758.79, "word": " A", "probability": 0.55078125}, {"start": 758.79, "end": 759.21, "word": " لكل", "probability": 0.957275390625}, {"start": 759.21, "end": 759.79, "word": " تربية", "probability": 0.8260091145833334}, {"start": 759.79, "end": 760.29, "word": " في", "probability": 0.541015625}, {"start": 760.29, "end": 760.97, "word": " مشتقة", "probability": 0.7200520833333334}, {"start": 760.97, "end": 761.61, "word": " مداخل", "probability": 0.9248046875}, {"start": 761.61, "end": 762.05, "word": " قصر", "probability": 0.5643717447916666}, {"start": 762.05, "end": 762.17, "word": " اللي", "probability": 0.740478515625}, {"start": 762.17, "end": 762.29, "word": " هو", "probability": 0.9599609375}, {"start": 762.29, "end": 763.01, "word": " بقداش", "probability": 0.6437581380208334}, {"start": 763.01, "end": 763.87, "word": " بواحد", "probability": 0.87548828125}, {"start": 763.87, "end": 765.07, "word": " زائد", "probability": 0.8330078125}, {"start": 765.07, "end": 765.69, "word": " زائد", "probability": 0.96923828125}, {"start": 765.69, "end": 766.63, "word": " N", "probability": 0.85205078125}, {"start": 766.63, "end": 768.15, "word": " CN", "probability": 0.35107421875}, {"start": 768.15, "end": 769.17, "word": " X", "probability": 0.93896484375}, {"start": 769.17, "end": 769.89, "word": " ناقص", "probability": 0.989013671875}, {"start": 769.89, "end": 770.13, "word": " ال", "probability": 0.9375}, {"start": 770.13, "end": 770.51, "word": " A", "probability": 0.96240234375}, {"start": 770.51, "end": 771.03, "word": " to", "probability": 0.8720703125}, {"start": 771.03, "end": 771.23, "word": " the", "probability": 0.91162109375}, {"start": 771.23, "end": 771.61, "word": " power", "probability": 0.87255859375}, {"start": 771.61, "end": 772.07, "word": " N", "probability": 0.78955078125}, {"start": 772.07, "end": 772.59, "word": " plus", "probability": 0.80712890625}, {"start": 772.59, "end": 773.07, "word": " one", "probability": 0.8583984375}, {"start": 773.07, "end": 774.13, "word": " زائد", "probability": 0.9806315104166666}, {"start": 774.13, "end": 775.37, "word": " الاخرين", "probability": 0.6212158203125}, {"start": 775.37, "end": 777.35, "word": " يبقى", "probability": 0.961181640625}, {"start": 777.35, "end": 777.67, "word": " هذا", "probability": 0.9462890625}, {"start": 777.67, "end": 778.07, "word": " الشغل", "probability": 0.9532877604166666}, {"start": 778.07, "end": 778.23, "word": " اللي", "probability": 0.948974609375}, {"start": 778.23, "end": 779.03, "word": " اشتغلنا", "probability": 0.9463704427083334}, {"start": 779.03, "end": 780.39, "word": " اسمه", "probability": 0.8717447916666666}, {"start": 780.39, "end": 781.17, "word": " differentiation", "probability": 0.8828125}, {"start": 781.17, "end": 782.53, "word": " term", "probability": 0.9296875}, {"start": 782.53, "end": 782.99, "word": " by", "probability": 0.978515625}, {"start": 782.99, "end": 783.61, "word": " term", "probability": 0.943359375}], "temperature": 1.0}, {"id": 33, "seek": 80761, "start": 783.93, "end": 807.61, "text": "يبقى روحنا اشتقنا term by term كل series لغاية infinitive شو رايك اني بقدر اكتب هذه المشتقة على شكل power series بدل ما هي بالشكل الكبير بدي اكتبها بالشكل الجديد يبقى summation و بروح بحط الحد النوني N في CN", "tokens": [1829, 3555, 4587, 7578, 12602, 2407, 5016, 8315, 1975, 8592, 2655, 4587, 8315, 1433, 538, 1433, 28242, 2638, 5296, 17082, 995, 10632, 7193, 2187, 13412, 2407, 12602, 47302, 4117, 16472, 1829, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 29538, 9673, 8592, 2655, 28671, 15844, 13412, 28820, 1347, 2638, 47525, 1211, 19446, 39896, 20666, 8592, 28820, 33251, 3555, 13546, 4724, 16254, 1975, 4117, 2655, 3555, 11296, 20666, 8592, 28820, 25724, 16254, 3215, 7251, 3555, 4587, 7578, 28811, 4032, 4724, 32887, 5016, 4724, 5016, 9566, 21542, 3215, 28239, 11536, 1829, 426, 8978, 14589], "avg_logprob": -0.23165760594217674, "compression_ratio": 1.5748792270531402, "no_speech_prob": 0.0, "words": [{"start": 783.93, "end": 784.57, "word": "يبقى", "probability": 0.79058837890625}, {"start": 784.57, "end": 785.29, "word": " روحنا", "probability": 0.70050048828125}, {"start": 785.29, "end": 786.41, "word": " اشتقنا", "probability": 0.809033203125}, {"start": 786.41, "end": 786.89, "word": " term", "probability": 0.1998291015625}, {"start": 786.89, "end": 787.21, "word": " by", "probability": 0.94580078125}, {"start": 787.21, "end": 787.49, "word": " term", "probability": 0.9580078125}, {"start": 787.49, "end": 787.91, "word": " كل", "probability": 0.61767578125}, {"start": 787.91, "end": 788.55, "word": " series", "probability": 0.611328125}, {"start": 788.55, "end": 789.51, "word": " لغاية", "probability": 0.9818115234375}, {"start": 789.51, "end": 790.27, "word": " infinitive", "probability": 0.76318359375}, {"start": 790.27, "end": 790.89, "word": " شو", "probability": 0.6806640625}, {"start": 790.89, "end": 791.33, "word": " رايك", "probability": 0.8839518229166666}, {"start": 791.33, "end": 791.71, "word": " اني", "probability": 0.6226806640625}, {"start": 791.71, "end": 792.15, "word": " بقدر", "probability": 0.94384765625}, {"start": 792.15, "end": 792.67, "word": " اكتب", "probability": 0.9842529296875}, {"start": 792.67, "end": 792.99, "word": " هذه", "probability": 0.82666015625}, {"start": 792.99, "end": 793.77, "word": " المشتقة", "probability": 0.86376953125}, {"start": 793.77, "end": 794.05, "word": " على", "probability": 0.5478515625}, {"start": 794.05, "end": 794.51, "word": " شكل", "probability": 0.958984375}, {"start": 794.51, "end": 794.99, "word": " power", "probability": 0.84228515625}, {"start": 794.99, "end": 795.43, "word": " series", "probability": 0.9013671875}, {"start": 795.43, "end": 796.17, "word": " بدل", "probability": 0.96044921875}, {"start": 796.17, "end": 796.27, "word": " ما", "probability": 0.92333984375}, {"start": 796.27, "end": 796.45, "word": " هي", "probability": 0.794921875}, {"start": 796.45, "end": 797.07, "word": " بالشكل", "probability": 0.9480794270833334}, {"start": 797.07, "end": 797.79, "word": " الكبير", "probability": 0.9811197916666666}, {"start": 797.79, "end": 798.43, "word": " بدي", "probability": 0.5518798828125}, {"start": 798.43, "end": 799.01, "word": " اكتبها", "probability": 0.975390625}, {"start": 799.01, "end": 799.81, "word": " بالشكل", "probability": 0.9737955729166666}, {"start": 799.81, "end": 800.95, "word": " الجديد", "probability": 0.9847005208333334}, {"start": 800.95, "end": 801.93, "word": " يبقى", "probability": 0.97265625}, {"start": 801.93, "end": 802.55, "word": " summation", "probability": 0.406005859375}, {"start": 802.55, "end": 803.59, "word": " و", "probability": 0.403564453125}, {"start": 803.59, "end": 803.91, "word": " بروح", "probability": 0.6393229166666666}, {"start": 803.91, "end": 804.49, "word": " بحط", "probability": 0.9593098958333334}, {"start": 804.49, "end": 805.23, "word": " الحد", "probability": 0.982421875}, {"start": 805.23, "end": 806.41, "word": " النوني", "probability": 0.8121744791666666}, {"start": 806.41, "end": 806.81, "word": " N", "probability": 0.12200927734375}, {"start": 806.81, "end": 807.17, "word": " في", "probability": 0.83544921875}, {"start": 807.17, "end": 807.61, "word": " CN", "probability": 0.5634765625}], "temperature": 1.0}, {"id": 34, "seek": 82636, "start": 808.24, "end": 826.36, "text": "فى ال X ناقص ال A to the power N plus one من عند ال N تسوى أكثر قدره لغاية Infinity من أين بدنا نبدأ؟ من عندهم تسوى قدره؟ متأكدين؟ فما هو السبب؟ أنا موافق، بس ليش؟", "tokens": [5172, 7578, 2423, 1783, 8717, 995, 4587, 9381, 2423, 316, 281, 264, 1347, 426, 1804, 472, 9154, 43242, 2423, 426, 6055, 3794, 2407, 7578, 5551, 4117, 49115, 12174, 3215, 2288, 3224, 5296, 17082, 995, 10632, 34762, 9154, 5551, 9957, 47525, 8315, 8717, 44510, 10721, 22807, 9154, 43242, 16095, 6055, 3794, 2407, 7578, 12174, 3215, 2288, 3224, 22807, 44650, 10721, 4117, 3215, 9957, 22807, 6156, 15042, 31439, 21136, 3555, 3555, 22807, 41850, 3714, 14407, 5172, 4587, 12399, 4724, 3794, 32239, 8592, 22807], "avg_logprob": -0.28563261177481675, "compression_ratio": 1.458100558659218, "no_speech_prob": 0.0, "words": [{"start": 808.24, "end": 808.48, "word": "فى", "probability": 0.237579345703125}, {"start": 808.48, "end": 808.66, "word": " ال", "probability": 0.51025390625}, {"start": 808.66, "end": 809.06, "word": " X", "probability": 0.39892578125}, {"start": 809.06, "end": 809.82, "word": " ناقص", "probability": 0.8980712890625}, {"start": 809.82, "end": 810.08, "word": " ال", "probability": 0.666015625}, {"start": 810.08, "end": 810.36, "word": " A", "probability": 0.6630859375}, {"start": 810.36, "end": 810.58, "word": " to", "probability": 0.56689453125}, {"start": 810.58, "end": 810.8, "word": " the", "probability": 0.90576171875}, {"start": 810.8, "end": 811.22, "word": " power", "probability": 0.87939453125}, {"start": 811.22, "end": 811.68, "word": " N", "probability": 0.5654296875}, {"start": 811.68, "end": 812.2, "word": " plus", "probability": 0.501953125}, {"start": 812.2, "end": 812.68, "word": " one", "probability": 0.73779296875}, {"start": 812.68, "end": 813.32, "word": " من", "probability": 0.87060546875}, {"start": 813.32, "end": 813.7, "word": " عند", "probability": 0.92919921875}, {"start": 813.7, "end": 813.98, "word": " ال", "probability": 0.9541015625}, {"start": 813.98, "end": 814.26, "word": " N", "probability": 0.9462890625}, {"start": 814.26, "end": 814.82, "word": " تسوى", "probability": 0.8837890625}, {"start": 814.82, "end": 815.22, "word": " أكثر", "probability": 0.595458984375}, {"start": 815.22, "end": 815.76, "word": " قدره", "probability": 0.7265625}, {"start": 815.76, "end": 816.38, "word": " لغاية", "probability": 0.9818115234375}, {"start": 816.38, "end": 817.3, "word": " Infinity", "probability": 0.4609375}, {"start": 817.3, "end": 818.52, "word": " من", "probability": 0.7021484375}, {"start": 818.52, "end": 818.78, "word": " أين", "probability": 0.726318359375}, {"start": 818.78, "end": 819.06, "word": " بدنا", "probability": 0.7939453125}, {"start": 819.06, "end": 820.0, "word": " نبدأ؟", "probability": 0.8170166015625}, {"start": 820.0, "end": 820.14, "word": " من", "probability": 0.73876953125}, {"start": 820.14, "end": 820.44, "word": " عندهم", "probability": 0.578369140625}, {"start": 820.44, "end": 820.86, "word": " تسوى", "probability": 0.95166015625}, {"start": 820.86, "end": 821.44, "word": " قدره؟", "probability": 0.86533203125}, {"start": 821.44, "end": 823.02, "word": " متأكدين؟", "probability": 0.7889811197916666}, {"start": 823.02, "end": 824.04, "word": " فما", "probability": 0.5728759765625}, {"start": 824.04, "end": 824.36, "word": " هو", "probability": 0.9208984375}, {"start": 824.36, "end": 825.0, "word": " السبب؟", "probability": 0.95849609375}, {"start": 825.0, "end": 825.18, "word": " أنا", "probability": 0.693359375}, {"start": 825.18, "end": 825.7, "word": " موافق،", "probability": 0.9083984375}, {"start": 825.7, "end": 825.88, "word": " بس", "probability": 0.692626953125}, {"start": 825.88, "end": 826.36, "word": " ليش؟", "probability": 0.9290364583333334}], "temperature": 1.0}, {"id": 35, "seek": 85221, "start": 827.63, "end": 852.21, "text": "أيوة لأن الحد الأول هذا طاري يعني ال series نقصت حد من بداية ال series ومشان تتأكد ابدا حط ان واحد اتنين تلاتة في الصيغة اللي عندك شوف يطلع ال series اللي عندنا هذه ولا لأ فمثلا لو قلنا ان بواحد C واحد ودق ال zero اللي بواحد يبقى الجواب بس جديد C واحد", "tokens": [10721, 1829, 2407, 3660, 5296, 33456, 21542, 3215, 16247, 12610, 23758, 23032, 9640, 1829, 37495, 22653, 2423, 2638, 8717, 4587, 9381, 2655, 11331, 3215, 9154, 4724, 28259, 10632, 2423, 2638, 4032, 2304, 8592, 7649, 6055, 2655, 10721, 4117, 3215, 48127, 28259, 11331, 9566, 16472, 36764, 24401, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 8978, 31767, 1829, 17082, 3660, 13672, 1829, 43242, 4117, 13412, 38688, 7251, 9566, 1211, 3615, 2423, 2638, 13672, 1829, 43242, 8315, 29538, 49429, 5296, 10721, 6156, 2304, 12984, 15040, 45164, 12174, 1211, 8315, 16472, 4724, 14407, 24401, 383, 36764, 24401, 4032, 3215, 4587, 2423, 4018, 13672, 1829, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 4724, 3794, 10874, 16254, 3215, 383, 36764, 24401], "avg_logprob": -0.2283854233721892, "compression_ratio": 1.905829596412556, "no_speech_prob": 0.0, "words": [{"start": 827.63, "end": 828.49, "word": "أيوة", "probability": 0.53900146484375}, {"start": 828.49, "end": 828.77, "word": " لأن", "probability": 0.6376953125}, {"start": 828.77, "end": 829.21, "word": " الحد", "probability": 0.945556640625}, {"start": 829.21, "end": 829.69, "word": " الأول", "probability": 0.943603515625}, {"start": 829.69, "end": 830.03, "word": " هذا", "probability": 0.190185546875}, {"start": 830.03, "end": 830.51, "word": " طاري", "probability": 0.7005208333333334}, {"start": 830.51, "end": 830.73, "word": " يعني", "probability": 0.802490234375}, {"start": 830.73, "end": 830.91, "word": " ال", "probability": 0.73876953125}, {"start": 830.91, "end": 831.15, "word": " series", "probability": 0.90380859375}, {"start": 831.15, "end": 831.83, "word": " نقصت", "probability": 0.799560546875}, {"start": 831.83, "end": 832.19, "word": " حد", "probability": 0.9853515625}, {"start": 832.19, "end": 832.73, "word": " من", "probability": 0.97412109375}, {"start": 832.73, "end": 833.49, "word": " بداية", "probability": 0.9532877604166666}, {"start": 833.49, "end": 833.73, "word": " ال", "probability": 0.97216796875}, {"start": 833.73, "end": 834.15, "word": " series", "probability": 0.96240234375}, {"start": 834.15, "end": 835.07, "word": " ومشان", "probability": 0.84912109375}, {"start": 835.07, "end": 835.91, "word": " تتأكد", "probability": 0.97490234375}, {"start": 835.91, "end": 836.45, "word": " ابدا", "probability": 0.629638671875}, {"start": 836.45, "end": 836.99, "word": " حط", "probability": 0.77978515625}, {"start": 836.99, "end": 837.71, "word": " ان", "probability": 0.7822265625}, {"start": 837.71, "end": 838.21, "word": " واحد", "probability": 0.86328125}, {"start": 838.21, "end": 838.77, "word": " اتنين", "probability": 0.950927734375}, {"start": 838.77, "end": 839.21, "word": " تلاتة", "probability": 0.915771484375}, {"start": 839.21, "end": 839.39, "word": " في", "probability": 0.365234375}, {"start": 839.39, "end": 839.77, "word": " الصيغة", "probability": 0.949462890625}, {"start": 839.77, "end": 839.91, "word": " اللي", "probability": 0.85205078125}, {"start": 839.91, "end": 840.33, "word": " عندك", "probability": 0.9931640625}, {"start": 840.33, "end": 840.99, "word": " شوف", "probability": 0.9248046875}, {"start": 840.99, "end": 841.43, "word": " يطلع", "probability": 0.990966796875}, {"start": 841.43, "end": 841.59, "word": " ال", "probability": 0.97705078125}, {"start": 841.59, "end": 841.87, "word": " series", "probability": 0.96533203125}, {"start": 841.87, "end": 842.13, "word": " اللي", "probability": 0.963134765625}, {"start": 842.13, "end": 842.45, "word": " عندنا", "probability": 0.86083984375}, {"start": 842.45, "end": 842.69, "word": " هذه", "probability": 0.2064208984375}, {"start": 842.69, "end": 842.89, "word": " ولا", "probability": 0.8828125}, {"start": 842.89, "end": 843.15, "word": " لأ", "probability": 0.7305908203125}, {"start": 843.15, "end": 843.79, "word": " فمثلا", "probability": 0.955078125}, {"start": 843.79, "end": 844.61, "word": " لو", "probability": 0.9296875}, {"start": 844.61, "end": 844.99, "word": " قلنا", "probability": 0.8831380208333334}, {"start": 844.99, "end": 845.25, "word": " ان", "probability": 0.8271484375}, {"start": 845.25, "end": 846.17, "word": " بواحد", "probability": 0.9345703125}, {"start": 846.17, "end": 846.73, "word": " C", "probability": 0.529296875}, {"start": 846.73, "end": 847.65, "word": " واحد", "probability": 0.90966796875}, {"start": 847.65, "end": 848.19, "word": " ودق", "probability": 0.618408203125}, {"start": 848.19, "end": 848.45, "word": " ال", "probability": 0.56591796875}, {"start": 848.45, "end": 848.69, "word": " zero", "probability": 0.78955078125}, {"start": 848.69, "end": 848.91, "word": " اللي", "probability": 0.759033203125}, {"start": 848.91, "end": 849.51, "word": " بواحد", "probability": 0.8904622395833334}, {"start": 849.51, "end": 850.15, "word": " يبقى", "probability": 0.95556640625}, {"start": 850.15, "end": 850.43, "word": " الجواب", "probability": 0.7874348958333334}, {"start": 850.43, "end": 850.71, "word": " بس", "probability": 0.978759765625}, {"start": 850.71, "end": 851.33, "word": " جديد", "probability": 0.8118489583333334}, {"start": 851.33, "end": 851.79, "word": " C", "probability": 0.7880859375}, {"start": 851.79, "end": 852.21, "word": " واحد", "probability": 0.9765625}], "temperature": 1.0}, {"id": 36, "seek": 88059, "start": 853.77, "end": 880.59, "text": "حط N بـ 2 بصير 2C2 X ناقص A و S 1 يبقى 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2C2 X ناقص A 2", "tokens": [5016, 9566, 426, 4724, 39184, 568, 4724, 9381, 13546, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 4032, 318, 502, 7251, 3555, 4587, 7578, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568, 34, 17, 1783, 8717, 995, 4587, 9381, 316, 568], "avg_logprob": -0.09826388676961263, "compression_ratio": 6.246376811594203, "no_speech_prob": 0.0, "words": [{"start": 853.77, "end": 854.33, "word": "حط", "probability": 0.454010009765625}, {"start": 854.33, "end": 854.67, "word": " N", "probability": 0.149658203125}, {"start": 854.67, "end": 855.13, "word": " بـ", "probability": 0.547119140625}, {"start": 855.13, "end": 855.41, "word": " 2", "probability": 0.409423828125}, {"start": 855.41, "end": 855.87, "word": " بصير", "probability": 0.7202962239583334}, {"start": 855.87, "end": 858.13, "word": " 2C2", "probability": 0.7705078125}, {"start": 858.13, "end": 858.77, "word": " X", "probability": 0.572265625}, {"start": 858.77, "end": 859.49, "word": " ناقص", "probability": 0.787109375}, {"start": 859.49, "end": 859.79, "word": " A", "probability": 0.62255859375}, {"start": 859.79, "end": 859.97, "word": " و", "probability": 0.64306640625}, {"start": 859.97, "end": 860.15, "word": " S", "probability": 0.2230224609375}, {"start": 860.15, "end": 860.51, "word": " 1", "probability": 0.345947265625}, {"start": 860.51, "end": 861.23, "word": " يبقى", "probability": 0.9276123046875}, {"start": 861.23, "end": 862.41, "word": " 2C2", "probability": 0.9334309895833334}, {"start": 862.41, "end": 862.85, "word": " X", "probability": 0.423095703125}, {"start": 862.85, "end": 863.39, "word": " ناقص", "probability": 0.9693603515625}, {"start": 863.39, "end": 863.73, "word": " A", "probability": 0.953125}, {"start": 863.73, "end": 865.11, "word": " 2C2", "probability": 0.8453776041666666}, {"start": 865.11, "end": 865.41, "word": " X", "probability": 0.88427734375}, {"start": 865.41, "end": 865.53, "word": " ناقص", "probability": 0.91796875}, {"start": 865.53, "end": 865.53, "word": " A", "probability": 0.85009765625}, {"start": 865.53, "end": 865.65, "word": " 2C2", "probability": 0.7433268229166666}, {"start": 865.65, "end": 865.65, "word": " X", "probability": 0.89453125}, {"start": 865.65, "end": 865.65, "word": " ناقص", "probability": 0.9796142578125}, {"start": 865.65, "end": 865.65, "word": " A", "probability": 0.97412109375}, {"start": 865.65, "end": 865.75, "word": " 2C2", "probability": 0.8512369791666666}, {"start": 865.75, "end": 865.75, "word": " X", "probability": 0.9501953125}, {"start": 865.75, "end": 865.75, "word": " ناقص", "probability": 0.990966796875}, {"start": 865.75, "end": 865.75, "word": " A", "probability": 0.986328125}, {"start": 865.75, "end": 865.83, "word": " 2C2", "probability": 0.9039713541666666}, {"start": 865.83, "end": 865.83, "word": " X", "probability": 0.95703125}, {"start": 865.83, "end": 865.83, "word": " ناقص", "probability": 0.9921875}, {"start": 865.83, "end": 865.83, "word": " A", "probability": 0.9833984375}, {"start": 865.83, "end": 865.83, "word": " 2C2", "probability": 0.9324544270833334}, {"start": 865.83, "end": 865.83, "word": " X", "probability": 0.96044921875}, {"start": 865.83, "end": 865.83, "word": " ناقص", "probability": 0.9923095703125}, {"start": 865.83, "end": 865.83, "word": " A", "probability": 0.978515625}, {"start": 865.83, "end": 865.89, "word": " 2C2", "probability": 0.9456380208333334}, {"start": 865.89, "end": 865.89, "word": " X", "probability": 0.9619140625}, {"start": 865.89, "end": 865.89, "word": " ناقص", "probability": 0.9920654296875}, {"start": 865.89, "end": 865.89, "word": " A", "probability": 0.97412109375}, {"start": 865.89, "end": 866.33, "word": " 2C2", "probability": 0.9514973958333334}, {"start": 866.33, "end": 866.53, "word": " X", "probability": 0.9638671875}, {"start": 866.53, "end": 866.93, "word": " ناقص", "probability": 0.9923095703125}, {"start": 866.93, "end": 866.93, "word": " A", "probability": 0.970703125}, {"start": 866.93, "end": 867.45, "word": " 2C2", "probability": 0.9542643229166666}, {"start": 867.45, "end": 867.45, "word": " X", "probability": 0.96826171875}, {"start": 867.45, "end": 867.45, "word": " ناقص", "probability": 0.9918212890625}, {"start": 867.45, "end": 867.45, "word": " A", "probability": 0.970703125}, {"start": 867.45, "end": 867.89, "word": " 2C2", "probability": 0.9576822916666666}, {"start": 867.89, "end": 867.89, "word": " X", "probability": 0.97314453125}, {"start": 867.89, "end": 867.89, "word": " ناقص", "probability": 0.990966796875}, {"start": 867.89, "end": 867.89, "word": " A", "probability": 0.97265625}, {"start": 867.89, "end": 868.27, "word": " 2C2", "probability": 0.9599609375}, {"start": 868.27, "end": 868.27, "word": " X", "probability": 0.9775390625}, {"start": 868.27, "end": 868.27, "word": " ناقص", "probability": 0.98974609375}, {"start": 868.27, "end": 868.27, "word": " A", "probability": 0.97216796875}, {"start": 868.27, "end": 868.27, "word": " 2C2", "probability": 0.95947265625}, {"start": 868.27, "end": 868.27, "word": " X", "probability": 0.97998046875}, {"start": 868.27, "end": 868.27, "word": " ناقص", "probability": 0.989501953125}, {"start": 868.27, "end": 868.27, "word": " A", "probability": 0.970703125}, {"start": 868.27, "end": 868.27, "word": " 2C2", "probability": 0.9547526041666666}, {"start": 868.27, "end": 868.53, "word": " X", "probability": 0.98193359375}, {"start": 868.53, "end": 868.61, "word": " ناقص", "probability": 0.9892578125}, {"start": 868.61, "end": 868.61, "word": " A", "probability": 0.9697265625}, {"start": 868.61, "end": 868.61, "word": " 2C2", "probability": 0.951171875}, {"start": 868.61, "end": 868.61, "word": " X", "probability": 0.98388671875}, {"start": 868.61, "end": 868.61, "word": " ناقص", "probability": 0.990478515625}, {"start": 868.61, "end": 868.61, "word": " A", "probability": 0.97265625}, {"start": 868.61, "end": 868.61, "word": " 2C2", "probability": 0.9523111979166666}, {"start": 868.61, "end": 868.61, "word": " X", "probability": 0.9853515625}, {"start": 868.61, "end": 868.61, "word": " ناقص", "probability": 0.9915771484375}, {"start": 868.61, "end": 868.61, "word": " A", "probability": 0.97607421875}, {"start": 868.61, "end": 868.61, "word": " 2C2", "probability": 0.9563802083333334}, {"start": 868.61, "end": 868.61, "word": " X", "probability": 0.986328125}, {"start": 868.61, "end": 868.61, "word": " ناقص", "probability": 0.9925537109375}, {"start": 868.61, "end": 868.61, "word": " A", "probability": 0.97802734375}, {"start": 868.61, "end": 868.61, "word": " 2C2", "probability": 0.9607747395833334}, {"start": 868.61, "end": 868.61, "word": " X", "probability": 0.98681640625}, {"start": 868.61, "end": 868.61, "word": " ناقص", "probability": 0.9935302734375}, {"start": 868.61, "end": 868.61, "word": " A", "probability": 0.97802734375}, {"start": 868.61, "end": 868.61, "word": " 2C2", "probability": 0.9627278645833334}, {"start": 868.61, "end": 868.61, "word": " X", "probability": 0.986328125}, {"start": 868.61, "end": 868.61, "word": " ناقص", "probability": 0.9937744140625}, {"start": 868.61, "end": 868.61, "word": " A", "probability": 0.9775390625}, {"start": 868.61, "end": 868.61, "word": " 2C2", "probability": 0.96484375}, {"start": 868.61, "end": 868.61, "word": " X", "probability": 0.98681640625}, {"start": 868.61, "end": 868.61, "word": " ناقص", "probability": 0.9940185546875}, {"start": 868.61, "end": 868.61, "word": " A", "probability": 0.97705078125}, {"start": 868.61, "end": 868.61, "word": " 2C2", "probability": 0.9658203125}, {"start": 868.61, "end": 868.61, "word": " X", "probability": 0.98583984375}, {"start": 868.61, "end": 868.61, "word": " ناقص", "probability": 0.993896484375}, {"start": 868.61, "end": 868.61, "word": " A", "probability": 0.9755859375}, {"start": 868.61, "end": 869.11, "word": " 2C2", "probability": 0.9669596354166666}, {"start": 869.11, "end": 869.49, "word": " X", "probability": 0.98583984375}, {"start": 869.49, "end": 870.05, "word": " ناقص", "probability": 0.99365234375}, {"start": 870.05, "end": 870.29, "word": " A", "probability": 0.9775390625}, {"start": 870.29, "end": 873.93, "word": " 2C2", "probability": 0.9684244791666666}, {"start": 873.93, "end": 874.83, "word": " X", "probability": 0.9853515625}, {"start": 874.83, "end": 875.91, "word": " ناقص", "probability": 0.9930419921875}, {"start": 875.91, "end": 879.13, "word": " A", "probability": 0.97607421875}, {"start": 879.13, "end": 880.59, "word": " 2", "probability": 0.9130859375}], "temperature": 1.0}, {"id": 37, "seek": 91062, "start": 885.04, "end": 910.62, "text": "سي واحد مقدار ثابت يبقى مشتقته مع السلامة بصير هذا اتنين سي اتنين زائد ستة سي تلاتة في ال X نقص ال A زائد زائد N في N نقص واحد في C N في ال X نقص ال A تدفع power N زائد اتنين زائد الاخرين", "tokens": [3794, 1829, 36764, 24401, 3714, 28543, 9640, 38637, 16758, 2655, 7251, 3555, 4587, 7578, 37893, 2655, 38149, 3224, 20449, 21136, 37440, 3660, 4724, 9381, 13546, 23758, 1975, 2655, 1863, 9957, 8608, 1829, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 8608, 2655, 3660, 8608, 1829, 6055, 1211, 9307, 3660, 8978, 2423, 1783, 8717, 4587, 9381, 2423, 316, 30767, 16373, 3215, 30767, 16373, 3215, 426, 8978, 426, 8717, 4587, 9381, 36764, 24401, 8978, 383, 426, 8978, 2423, 1783, 8717, 4587, 9381, 2423, 316, 6055, 3215, 5172, 3615, 1347, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 2423, 47283, 2288, 9957], "avg_logprob": -0.18658088761217453, "compression_ratio": 1.8862275449101797, "no_speech_prob": 0.0, "words": [{"start": 885.04, "end": 885.4, "word": "سي", "probability": 0.37432861328125}, {"start": 885.4, "end": 885.8, "word": " واحد", "probability": 0.748779296875}, {"start": 885.8, "end": 886.26, "word": " مقدار", "probability": 0.7333984375}, {"start": 886.26, "end": 886.8, "word": " ثابت", "probability": 0.9931640625}, {"start": 886.8, "end": 887.06, "word": " يبقى", "probability": 0.9171142578125}, {"start": 887.06, "end": 887.98, "word": " مشتقته", "probability": 0.8941650390625}, {"start": 887.98, "end": 888.98, "word": " مع", "probability": 0.80224609375}, {"start": 888.98, "end": 889.92, "word": " السلامة", "probability": 0.9607747395833334}, {"start": 889.92, "end": 890.5, "word": " بصير", "probability": 0.8556315104166666}, {"start": 890.5, "end": 890.84, "word": " هذا", "probability": 0.66259765625}, {"start": 890.84, "end": 891.5, "word": " اتنين", "probability": 0.8558349609375}, {"start": 891.5, "end": 891.9, "word": " سي", "probability": 0.664306640625}, {"start": 891.9, "end": 892.52, "word": " اتنين", "probability": 0.9700927734375}, {"start": 892.52, "end": 893.52, "word": " زائد", "probability": 0.8597005208333334}, {"start": 893.52, "end": 894.28, "word": " ستة", "probability": 0.9754231770833334}, {"start": 894.28, "end": 894.86, "word": " سي", "probability": 0.799072265625}, {"start": 894.86, "end": 895.72, "word": " تلاتة", "probability": 0.95703125}, {"start": 895.72, "end": 895.92, "word": " في", "probability": 0.94091796875}, {"start": 895.92, "end": 896.16, "word": " ال", "probability": 0.8828125}, {"start": 896.16, "end": 896.5, "word": " X", "probability": 0.53271484375}, {"start": 896.5, "end": 897.68, "word": " نقص", "probability": 0.8634440104166666}, {"start": 897.68, "end": 897.96, "word": " ال", "probability": 0.91650390625}, {"start": 897.96, "end": 898.32, "word": " A", "probability": 0.69482421875}, {"start": 898.32, "end": 899.5, "word": " زائد", "probability": 0.95556640625}, {"start": 899.5, "end": 900.24, "word": " زائد", "probability": 0.98486328125}, {"start": 900.24, "end": 900.64, "word": " N", "probability": 0.79296875}, {"start": 900.64, "end": 901.42, "word": " في", "probability": 0.8818359375}, {"start": 901.42, "end": 901.74, "word": " N", "probability": 0.94921875}, {"start": 901.74, "end": 902.3, "word": " نقص", "probability": 0.9806315104166666}, {"start": 902.3, "end": 902.88, "word": " واحد", "probability": 0.989501953125}, {"start": 902.88, "end": 903.54, "word": " في", "probability": 0.9853515625}, {"start": 903.54, "end": 903.92, "word": " C", "probability": 0.4501953125}, {"start": 903.92, "end": 904.42, "word": " N", "probability": 0.5556640625}, {"start": 904.42, "end": 904.96, "word": " في", "probability": 0.95263671875}, {"start": 904.96, "end": 905.16, "word": " ال", "probability": 0.650390625}, {"start": 905.16, "end": 905.5, "word": " X", "probability": 0.9912109375}, {"start": 905.5, "end": 906.14, "word": " نقص", "probability": 0.9949544270833334}, {"start": 906.14, "end": 906.3, "word": " ال", "probability": 0.958984375}, {"start": 906.3, "end": 906.52, "word": " A", "probability": 0.9619140625}, {"start": 906.52, "end": 907.0, "word": " تدفع", "probability": 0.66656494140625}, {"start": 907.0, "end": 907.34, "word": " power", "probability": 0.33642578125}, {"start": 907.34, "end": 907.66, "word": " N", "probability": 0.9111328125}, {"start": 907.66, "end": 908.18, "word": " زائد", "probability": 0.8844401041666666}, {"start": 908.18, "end": 908.74, "word": " اتنين", "probability": 0.9080810546875}, {"start": 908.74, "end": 909.68, "word": " زائد", "probability": 0.9837239583333334}, {"start": 909.68, "end": 910.62, "word": " الاخرين", "probability": 0.7747802734375}], "temperature": 1.0}, {"id": 38, "seek": 93740, "start": 911.16, "end": 937.4, "text": "بدي اكتب هذا على شكل summation من N تساوي أبصر جداش لغاية ال infinity لل N في ال N ناقص واحد في ال C N في ال X ناقص ال A to the power N minus two N من وين؟ من ناجد اتنين متأكدين؟", "tokens": [3555, 16254, 1975, 4117, 2655, 3555, 23758, 15844, 13412, 28820, 28811, 9154, 426, 6055, 3794, 995, 45865, 5551, 3555, 9381, 2288, 10874, 3215, 33599, 5296, 17082, 995, 10632, 2423, 13202, 24976, 426, 8978, 2423, 426, 8717, 995, 4587, 9381, 36764, 24401, 8978, 2423, 383, 426, 8978, 2423, 1783, 8717, 995, 4587, 9381, 2423, 316, 281, 264, 1347, 426, 3175, 732, 426, 9154, 4032, 9957, 22807, 9154, 8717, 26108, 3215, 1975, 2655, 1863, 9957, 44650, 10721, 4117, 3215, 9957, 22807], "avg_logprob": -0.19550781194120645, "compression_ratio": 1.454054054054054, "no_speech_prob": 0.0, "words": [{"start": 911.16, "end": 911.6, "word": "بدي", "probability": 0.6280517578125}, {"start": 911.6, "end": 912.02, "word": " اكتب", "probability": 0.93115234375}, {"start": 912.02, "end": 912.32, "word": " هذا", "probability": 0.8115234375}, {"start": 912.32, "end": 912.6, "word": " على", "probability": 0.89794921875}, {"start": 912.6, "end": 913.28, "word": " شكل", "probability": 0.95703125}, {"start": 913.28, "end": 914.48, "word": " summation", "probability": 0.80078125}, {"start": 914.48, "end": 915.58, "word": " من", "probability": 0.7822265625}, {"start": 915.58, "end": 916.02, "word": " N", "probability": 0.289306640625}, {"start": 916.02, "end": 916.5, "word": " تساوي", "probability": 0.78619384765625}, {"start": 916.5, "end": 917.02, "word": " أبصر", "probability": 0.7998046875}, {"start": 917.02, "end": 917.68, "word": " جداش", "probability": 0.7659505208333334}, {"start": 917.68, "end": 918.54, "word": " لغاية", "probability": 0.9722900390625}, {"start": 918.54, "end": 918.74, "word": " ال", "probability": 0.93017578125}, {"start": 918.74, "end": 919.5, "word": " infinity", "probability": 0.50439453125}, {"start": 919.5, "end": 920.46, "word": " لل", "probability": 0.69482421875}, {"start": 920.46, "end": 920.98, "word": " N", "probability": 0.85791015625}, {"start": 920.98, "end": 921.56, "word": " في", "probability": 0.55078125}, {"start": 921.56, "end": 921.8, "word": " ال", "probability": 0.6494140625}, {"start": 921.8, "end": 922.1, "word": " N", "probability": 0.939453125}, {"start": 922.1, "end": 922.66, "word": " ناقص", "probability": 0.9248046875}, {"start": 922.66, "end": 923.38, "word": " واحد", "probability": 0.9794921875}, {"start": 923.38, "end": 924.06, "word": " في", "probability": 0.87060546875}, {"start": 924.06, "end": 924.36, "word": " ال", "probability": 0.73046875}, {"start": 924.36, "end": 924.74, "word": " C", "probability": 0.5419921875}, {"start": 924.74, "end": 925.4, "word": " N", "probability": 0.822265625}, {"start": 925.4, "end": 926.0, "word": " في", "probability": 0.94091796875}, {"start": 926.0, "end": 926.22, "word": " ال", "probability": 0.86962890625}, {"start": 926.22, "end": 926.56, "word": " X", "probability": 0.986328125}, {"start": 926.56, "end": 927.22, "word": " ناقص", "probability": 0.985107421875}, {"start": 927.22, "end": 927.4, "word": " ال", "probability": 0.736328125}, {"start": 927.4, "end": 927.6, "word": " A", "probability": 0.607421875}, {"start": 927.6, "end": 927.78, "word": " to", "probability": 0.935546875}, {"start": 927.78, "end": 928.02, "word": " the", "probability": 0.91015625}, {"start": 928.02, "end": 928.54, "word": " power", "probability": 0.830078125}, {"start": 928.54, "end": 929.36, "word": " N", "probability": 0.89306640625}, {"start": 929.36, "end": 930.2, "word": " minus", "probability": 0.88232421875}, {"start": 930.2, "end": 930.86, "word": " two", "probability": 0.484130859375}, {"start": 930.86, "end": 933.24, "word": " N", "probability": 0.69677734375}, {"start": 933.24, "end": 933.42, "word": " من", "probability": 0.9794921875}, {"start": 933.42, "end": 934.04, "word": " وين؟", "probability": 0.8660481770833334}, {"start": 934.04, "end": 935.16, "word": " من", "probability": 0.7529296875}, {"start": 935.16, "end": 935.52, "word": " ناجد", "probability": 0.6631673177083334}, {"start": 935.52, "end": 936.0, "word": " اتنين", "probability": 0.9573974609375}, {"start": 936.0, "end": 937.4, "word": " متأكدين؟", "probability": 0.9127604166666666}], "temperature": 1.0}, {"id": 39, "seek": 96388, "start": 938.1, "end": 963.88, "text": "أه من عند اتنين لأنه طارت term الأول لأن هذا راح طب شوف تعالى تأكد كلامنا صح ولا لأ اتنين اتنين ناقص واحدة بواحد يبقى هذا كله باتنين سي اتنين وهذا zero يبقى واحد يبقى الحد الأول اتنين سي اتنين مظبوط بعد اتنين حط تلاتة بصير تلاتة في اتنين اللي هو بستة", "tokens": [10721, 3224, 9154, 43242, 1975, 2655, 1863, 9957, 5296, 33456, 3224, 23032, 9640, 2655, 1433, 16247, 12610, 5296, 33456, 23758, 12602, 39319, 23032, 3555, 13412, 38688, 37279, 6027, 7578, 6055, 10721, 4117, 3215, 28242, 10943, 8315, 20328, 5016, 49429, 5296, 10721, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 36764, 24401, 3660, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 23758, 28242, 3224, 4724, 9307, 1863, 9957, 8608, 1829, 1975, 2655, 1863, 9957, 37037, 15730, 4018, 7251, 3555, 4587, 7578, 36764, 24401, 7251, 3555, 4587, 7578, 21542, 3215, 16247, 12610, 1975, 2655, 1863, 9957, 8608, 1829, 1975, 2655, 1863, 9957, 3714, 19913, 3555, 2407, 9566, 39182, 1975, 2655, 1863, 9957, 11331, 9566, 6055, 1211, 9307, 3660, 4724, 9381, 13546, 6055, 1211, 9307, 3660, 8978, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 4724, 14851, 3660], "avg_logprob": -0.1717617695314297, "compression_ratio": 2.1407766990291264, "no_speech_prob": 0.0, "words": [{"start": 938.1, "end": 938.58, "word": "أه", "probability": 0.27471923828125}, {"start": 938.58, "end": 938.82, "word": " من", "probability": 0.68994140625}, {"start": 938.82, "end": 939.18, "word": " عند", "probability": 0.96484375}, {"start": 939.18, "end": 939.76, "word": " اتنين", "probability": 0.83428955078125}, {"start": 939.76, "end": 940.52, "word": " لأنه", "probability": 0.7887369791666666}, {"start": 940.52, "end": 941.02, "word": " طارت", "probability": 0.6392415364583334}, {"start": 941.02, "end": 941.34, "word": " term", "probability": 0.796875}, {"start": 941.34, "end": 941.88, "word": " الأول", "probability": 0.928955078125}, {"start": 941.88, "end": 942.3, "word": " لأن", "probability": 0.839599609375}, {"start": 942.3, "end": 942.62, "word": " هذا", "probability": 0.890625}, {"start": 942.62, "end": 943.1, "word": " راح", "probability": 0.887939453125}, {"start": 943.1, "end": 943.98, "word": " طب", "probability": 0.6939697265625}, {"start": 943.98, "end": 944.28, "word": " شوف", "probability": 0.814208984375}, {"start": 944.28, "end": 944.62, "word": " تعالى", "probability": 0.9513346354166666}, {"start": 944.62, "end": 945.06, "word": " تأكد", "probability": 0.84423828125}, {"start": 945.06, "end": 945.54, "word": " كلامنا", "probability": 0.9376627604166666}, {"start": 945.54, "end": 945.84, "word": " صح", "probability": 0.9970703125}, {"start": 945.84, "end": 946.12, "word": " ولا", "probability": 0.81884765625}, {"start": 946.12, "end": 946.88, "word": " لأ", "probability": 0.9169921875}, {"start": 946.88, "end": 947.7, "word": " اتنين", "probability": 0.934814453125}, {"start": 947.7, "end": 948.54, "word": " اتنين", "probability": 0.95654296875}, {"start": 948.54, "end": 948.98, "word": " ناقص", "probability": 0.8280029296875}, {"start": 948.98, "end": 949.38, "word": " واحدة", "probability": 0.7534993489583334}, {"start": 949.38, "end": 949.68, "word": " بواحد", "probability": 0.91259765625}, {"start": 949.68, "end": 949.84, "word": " يبقى", "probability": 0.8394775390625}, {"start": 949.84, "end": 950.08, "word": " هذا", "probability": 0.4833984375}, {"start": 950.08, "end": 950.64, "word": " كله", "probability": 0.976318359375}, {"start": 950.64, "end": 951.54, "word": " باتنين", "probability": 0.830810546875}, {"start": 951.54, "end": 951.96, "word": " سي", "probability": 0.5152587890625}, {"start": 951.96, "end": 952.48, "word": " اتنين", "probability": 0.9486083984375}, {"start": 952.48, "end": 953.58, "word": " وهذا", "probability": 0.774169921875}, {"start": 953.58, "end": 954.0, "word": " zero", "probability": 0.42431640625}, {"start": 954.0, "end": 954.34, "word": " يبقى", "probability": 0.968505859375}, {"start": 954.34, "end": 954.7, "word": " واحد", "probability": 0.98974609375}, {"start": 954.7, "end": 954.9, "word": " يبقى", "probability": 0.987060546875}, {"start": 954.9, "end": 955.3, "word": " الحد", "probability": 0.9052734375}, {"start": 955.3, "end": 955.72, "word": " الأول", "probability": 0.9052734375}, {"start": 955.72, "end": 956.22, "word": " اتنين", "probability": 0.9893798828125}, {"start": 956.22, "end": 956.52, "word": " سي", "probability": 0.816650390625}, {"start": 956.52, "end": 956.84, "word": " اتنين", "probability": 0.974365234375}, {"start": 956.84, "end": 957.5, "word": " مظبوط", "probability": 0.9333984375}, {"start": 957.5, "end": 958.62, "word": " بعد", "probability": 0.912109375}, {"start": 958.62, "end": 959.12, "word": " اتنين", "probability": 0.9874267578125}, {"start": 959.12, "end": 959.54, "word": " حط", "probability": 0.798583984375}, {"start": 959.54, "end": 960.3, "word": " تلاتة", "probability": 0.9462890625}, {"start": 960.3, "end": 960.96, "word": " بصير", "probability": 0.9021809895833334}, {"start": 960.96, "end": 961.76, "word": " تلاتة", "probability": 0.9854736328125}, {"start": 961.76, "end": 961.96, "word": " في", "probability": 0.86328125}, {"start": 961.96, "end": 962.64, "word": " اتنين", "probability": 0.975830078125}, {"start": 962.64, "end": 962.84, "word": " اللي", "probability": 0.6959228515625}, {"start": 962.84, "end": 962.96, "word": " هو", "probability": 0.955078125}, {"start": 962.96, "end": 963.88, "word": " بستة", "probability": 0.7999674479166666}], "temperature": 1.0}, {"id": 40, "seek": 98422, "start": 965.8, "end": 984.22, "text": "C3X-A1 يبقى 6C3X-A1 وهكذا يبقى شغلنا سليم مائة بالمائة بنطلع من هذا الكلام يبقى انه عند الاشتقاق مرة ال index اللي تحت الصممش مينجس واحد", "tokens": [34, 18, 55, 12, 32, 16, 7251, 3555, 4587, 7578, 1386, 34, 18, 55, 12, 32, 16, 37037, 4117, 15730, 7251, 3555, 4587, 7578, 13412, 17082, 1211, 8315, 8608, 20292, 2304, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 44945, 9566, 1211, 3615, 9154, 23758, 2423, 28820, 10943, 7251, 3555, 4587, 7578, 16472, 3224, 43242, 2423, 33599, 2655, 4587, 995, 4587, 3714, 25720, 2423, 8186, 13672, 1829, 6055, 33753, 31767, 2304, 2304, 8592, 3714, 9957, 7435, 3794, 36764, 24401], "avg_logprob": -0.2711629792104793, "compression_ratio": 1.4465408805031446, "no_speech_prob": 0.0, "words": [{"start": 965.8, "end": 966.88, "word": "C3X", "probability": 0.479736328125}, {"start": 966.88, "end": 967.96, "word": "-A1", "probability": 0.6181640625}, {"start": 967.96, "end": 969.74, "word": " يبقى", "probability": 0.741546630859375}, {"start": 969.74, "end": 971.74, "word": " 6C3X", "probability": 0.882080078125}, {"start": 971.74, "end": 972.52, "word": "-A1", "probability": 0.9568684895833334}, {"start": 972.52, "end": 973.4, "word": " وهكذا", "probability": 0.7506510416666666}, {"start": 973.4, "end": 974.14, "word": " يبقى", "probability": 0.927001953125}, {"start": 974.14, "end": 974.78, "word": " شغلنا", "probability": 0.9405517578125}, {"start": 974.78, "end": 975.26, "word": " سليم", "probability": 0.96337890625}, {"start": 975.26, "end": 975.64, "word": " مائة", "probability": 0.623291015625}, {"start": 975.64, "end": 976.08, "word": " بالمائة", "probability": 0.884521484375}, {"start": 976.08, "end": 976.74, "word": " بنطلع", "probability": 0.7669677734375}, {"start": 976.74, "end": 976.94, "word": " من", "probability": 0.9697265625}, {"start": 976.94, "end": 977.32, "word": " هذا", "probability": 0.947265625}, {"start": 977.32, "end": 978.16, "word": " الكلام", "probability": 0.9469401041666666}, {"start": 978.16, "end": 979.1, "word": " يبقى", "probability": 0.775390625}, {"start": 979.1, "end": 979.42, "word": " انه", "probability": 0.666748046875}, {"start": 979.42, "end": 979.76, "word": " عند", "probability": 0.9873046875}, {"start": 979.76, "end": 980.78, "word": " الاشتقاق", "probability": 0.8470052083333334}, {"start": 980.78, "end": 981.46, "word": " مرة", "probability": 0.96337890625}, {"start": 981.46, "end": 981.9, "word": " ال", "probability": 0.9052734375}, {"start": 981.9, "end": 982.3, "word": " index", "probability": 0.84912109375}, {"start": 982.3, "end": 982.54, "word": " اللي", "probability": 0.57275390625}, {"start": 982.54, "end": 982.82, "word": " تحت", "probability": 0.984375}, {"start": 982.82, "end": 983.36, "word": " الصممش", "probability": 0.73388671875}, {"start": 983.36, "end": 983.84, "word": " مينجس", "probability": 0.5472412109375}, {"start": 983.84, "end": 984.22, "word": " واحد", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 41, "seek": 101276, "start": 984.74, "end": 1012.76, "text": "اشتق كمان مرة، بنقص كمان واحد، اشتق كمان مرة، بنقص كمان واحد، و هكذا يعني لو اشتقت N من ال K من المرات بيصير ال summation هذا من عند N تساوي K إلى Infinity وهذا بيصير K من المشتقات، تمام؟ طيب كويس، و هكذا لو استمرنا بهذه الطريقة، فمش بدنا نوصل ل R", "tokens": [995, 8592, 2655, 4587, 9122, 2304, 7649, 3714, 25720, 12399, 4724, 1863, 4587, 9381, 9122, 2304, 7649, 36764, 24401, 12399, 1975, 8592, 2655, 4587, 9122, 2304, 7649, 3714, 25720, 12399, 4724, 1863, 4587, 9381, 9122, 2304, 7649, 36764, 24401, 12399, 4032, 8032, 4117, 15730, 37495, 22653, 45164, 1975, 8592, 2655, 38149, 426, 9154, 2423, 591, 9154, 9673, 2288, 9307, 4724, 1829, 9381, 13546, 2423, 28811, 23758, 9154, 43242, 426, 6055, 3794, 995, 45865, 591, 30731, 34762, 37037, 15730, 4724, 1829, 9381, 13546, 591, 9154, 9673, 8592, 2655, 4587, 9307, 12399, 46811, 10943, 22807, 23032, 1829, 3555, 9122, 45865, 3794, 12399, 4032, 8032, 4117, 15730, 45164, 44713, 29973, 8315, 39627, 24192, 41950, 16572, 28671, 12399, 6156, 2304, 8592, 47525, 8315, 8717, 2407, 36520, 5296, 497], "avg_logprob": -0.23237500381469728, "compression_ratio": 1.9220183486238531, "no_speech_prob": 0.0, "words": [{"start": 984.74, "end": 985.24, "word": "اشتق", "probability": 0.5749969482421875}, {"start": 985.24, "end": 985.62, "word": " كمان", "probability": 0.9210611979166666}, {"start": 985.62, "end": 986.04, "word": " مرة،", "probability": 0.742431640625}, {"start": 986.04, "end": 986.42, "word": " بنقص", "probability": 0.50518798828125}, {"start": 986.42, "end": 986.82, "word": " كمان", "probability": 0.9939778645833334}, {"start": 986.82, "end": 987.28, "word": " واحد،", "probability": 0.8369140625}, {"start": 987.28, "end": 987.64, "word": " اشتق", "probability": 0.950927734375}, {"start": 987.64, "end": 987.98, "word": " كمان", "probability": 0.99169921875}, {"start": 987.98, "end": 988.46, "word": " مرة،", "probability": 0.9677734375}, {"start": 988.46, "end": 988.74, "word": " بنقص", "probability": 0.9517822265625}, {"start": 988.74, "end": 989.06, "word": " كمان", "probability": 0.9920247395833334}, {"start": 989.06, "end": 989.5, "word": " واحد،", "probability": 0.8899739583333334}, {"start": 989.5, "end": 989.66, "word": " و", "probability": 0.56982421875}, {"start": 989.66, "end": 990.4, "word": " هكذا", "probability": 0.7513834635416666}, {"start": 990.4, "end": 991.22, "word": " يعني", "probability": 0.7783203125}, {"start": 991.22, "end": 991.44, "word": " لو", "probability": 0.79736328125}, {"start": 991.44, "end": 992.1, "word": " اشتقت", "probability": 0.9224853515625}, {"start": 992.1, "end": 992.64, "word": " N", "probability": 0.208740234375}, {"start": 992.64, "end": 993.02, "word": " من", "probability": 0.97265625}, {"start": 993.02, "end": 993.3, "word": " ال", "probability": 0.765625}, {"start": 993.3, "end": 993.62, "word": " K", "probability": 0.2449951171875}, {"start": 993.62, "end": 994.02, "word": " من", "probability": 0.98486328125}, {"start": 994.02, "end": 995.08, "word": " المرات", "probability": 0.9549153645833334}, {"start": 995.08, "end": 996.06, "word": " بيصير", "probability": 0.771728515625}, {"start": 996.06, "end": 996.24, "word": " ال", "probability": 0.845703125}, {"start": 996.24, "end": 996.72, "word": " summation", "probability": 0.83935546875}, {"start": 996.72, "end": 997.14, "word": " هذا", "probability": 0.80810546875}, {"start": 997.14, "end": 997.34, "word": " من", "probability": 0.9208984375}, {"start": 997.34, "end": 997.68, "word": " عند", "probability": 0.970703125}, {"start": 997.68, "end": 998.18, "word": " N", "probability": 0.8701171875}, {"start": 998.18, "end": 998.88, "word": " تساوي", "probability": 0.7900390625}, {"start": 998.88, "end": 999.64, "word": " K", "probability": 0.93017578125}, {"start": 999.64, "end": 1000.18, "word": " إلى", "probability": 0.6787109375}, {"start": 1000.18, "end": 1001.1, "word": " Infinity", "probability": 0.35693359375}, {"start": 1001.1, "end": 1002.08, "word": " وهذا", "probability": 0.846435546875}, {"start": 1002.08, "end": 1002.72, "word": " بيصير", "probability": 0.920166015625}, {"start": 1002.72, "end": 1003.22, "word": " K", "probability": 0.8984375}, {"start": 1003.22, "end": 1003.62, "word": " من", "probability": 0.97900390625}, {"start": 1003.62, "end": 1005.36, "word": " المشتقات،", "probability": 0.840576171875}, {"start": 1005.36, "end": 1006.58, "word": " تمام؟", "probability": 0.8445638020833334}, {"start": 1006.58, "end": 1006.8, "word": " طيب", "probability": 0.9069010416666666}, {"start": 1006.8, "end": 1007.78, "word": " كويس،", "probability": 0.79547119140625}, {"start": 1007.78, "end": 1007.9, "word": " و", "probability": 0.66748046875}, {"start": 1007.9, "end": 1008.48, "word": " هكذا", "probability": 0.9109700520833334}, {"start": 1008.48, "end": 1008.74, "word": " لو", "probability": 0.966796875}, {"start": 1008.74, "end": 1009.48, "word": " استمرنا", "probability": 0.9661458333333334}, {"start": 1009.48, "end": 1010.02, "word": " بهذه", "probability": 0.949462890625}, {"start": 1010.02, "end": 1010.84, "word": " الطريقة،", "probability": 0.935546875}, {"start": 1010.84, "end": 1011.16, "word": " فمش", "probability": 0.7898763020833334}, {"start": 1011.16, "end": 1011.6, "word": " بدنا", "probability": 0.95068359375}, {"start": 1011.6, "end": 1012.12, "word": " نوصل", "probability": 0.96142578125}, {"start": 1012.12, "end": 1012.34, "word": " ل", "probability": 0.521484375}, {"start": 1012.34, "end": 1012.76, "word": " R", "probability": 0.292236328125}], "temperature": 1.0}, {"id": 42, "seek": 102319, "start": 1013.29, "end": 1023.19, "text": "صار عندنا two series جداد وعندنا ال series الأصلية هي هذي converge على الفترة اللي عندنا هذي", "tokens": [9381, 9640, 43242, 8315, 732, 2638, 10874, 3215, 18513, 4032, 3615, 41260, 8315, 2423, 2638, 16247, 36520, 10632, 39896, 8032, 8848, 1829, 41881, 15844, 27188, 2655, 25720, 13672, 1829, 43242, 8315, 8032, 8848, 1829], "avg_logprob": -0.3828125068119594, "compression_ratio": 1.3302752293577982, "no_speech_prob": 0.0, "words": [{"start": 1013.29, "end": 1013.87, "word": "صار", "probability": 0.59906005859375}, {"start": 1013.87, "end": 1014.43, "word": " عندنا", "probability": 0.75244140625}, {"start": 1014.43, "end": 1014.73, "word": " two", "probability": 0.48974609375}, {"start": 1014.73, "end": 1015.39, "word": " series", "probability": 0.9130859375}, {"start": 1015.39, "end": 1016.43, "word": " جداد", "probability": 0.6946614583333334}, {"start": 1016.43, "end": 1017.57, "word": " وعندنا", "probability": 0.675933837890625}, {"start": 1017.57, "end": 1017.59, "word": " ال", "probability": 0.494140625}, {"start": 1017.59, "end": 1017.85, "word": " series", "probability": 0.74951171875}, {"start": 1017.85, "end": 1018.99, "word": " الأصلية", "probability": 0.7930501302083334}, {"start": 1018.99, "end": 1019.43, "word": " هي", "probability": 0.6611328125}, {"start": 1019.43, "end": 1020.65, "word": " هذي", "probability": 0.52001953125}, {"start": 1020.65, "end": 1021.29, "word": " converge", "probability": 0.409423828125}, {"start": 1021.29, "end": 1021.59, "word": " على", "probability": 0.78955078125}, {"start": 1021.59, "end": 1022.15, "word": " الفترة", "probability": 0.9861653645833334}, {"start": 1022.15, "end": 1022.37, "word": " اللي", "probability": 0.931640625}, {"start": 1022.37, "end": 1022.79, "word": " عندنا", "probability": 0.96240234375}, {"start": 1022.79, "end": 1023.19, "word": " هذي", "probability": 0.7986653645833334}], "temperature": 1.0}, {"id": 43, "seek": 104774, "start": 1023.84, "end": 1047.74, "text": "السيريز المشتقة التنتين هدول converge على نفس الفترة وكمان لو اشتقت ميت مرة كمان بعد ذلك برضه converge على مين يبقى السيريز الأصلية ومشتقتها converge على نفس الفترة يبقى بدنا نشيل هذا بما يأتي فبروح بقول", "tokens": [6027, 3794, 13546, 1829, 11622, 9673, 8592, 2655, 28671, 16712, 29399, 9957, 8032, 3215, 12610, 41881, 15844, 8717, 36178, 27188, 2655, 25720, 4032, 24793, 7649, 45164, 1975, 8592, 2655, 38149, 3714, 36081, 3714, 25720, 9122, 2304, 7649, 39182, 29910, 23275, 4724, 43042, 3224, 41881, 15844, 3714, 9957, 7251, 3555, 4587, 7578, 21136, 13546, 1829, 11622, 16247, 36520, 10632, 4032, 2304, 8592, 2655, 38149, 11296, 41881, 15844, 8717, 36178, 27188, 2655, 25720, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 8592, 26895, 23758, 4724, 15042, 7251, 10721, 31371, 6156, 26890, 2407, 5016, 4724, 39648], "avg_logprob": -0.21135752624081028, "compression_ratio": 1.8961748633879782, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1023.84, "end": 1024.54, "word": "السيريز", "probability": 0.645556640625}, {"start": 1024.54, "end": 1025.36, "word": " المشتقة", "probability": 0.864501953125}, {"start": 1025.36, "end": 1026.12, "word": " التنتين", "probability": 0.7685546875}, {"start": 1026.12, "end": 1026.72, "word": " هدول", "probability": 0.8155924479166666}, {"start": 1026.72, "end": 1027.38, "word": " converge", "probability": 0.06182861328125}, {"start": 1027.38, "end": 1027.8, "word": " على", "probability": 0.916015625}, {"start": 1027.8, "end": 1028.12, "word": " نفس", "probability": 0.99658203125}, {"start": 1028.12, "end": 1028.78, "word": " الفترة", "probability": 0.9920247395833334}, {"start": 1028.78, "end": 1029.74, "word": " وكمان", "probability": 0.7654622395833334}, {"start": 1029.74, "end": 1029.96, "word": " لو", "probability": 0.96044921875}, {"start": 1029.96, "end": 1030.52, "word": " اشتقت", "probability": 0.8565673828125}, {"start": 1030.52, "end": 1030.92, "word": " ميت", "probability": 0.74072265625}, {"start": 1030.92, "end": 1031.38, "word": " مرة", "probability": 0.98876953125}, {"start": 1031.38, "end": 1031.98, "word": " كمان", "probability": 0.9127604166666666}, {"start": 1031.98, "end": 1032.38, "word": " بعد", "probability": 0.873046875}, {"start": 1032.38, "end": 1032.84, "word": " ذلك", "probability": 0.989013671875}, {"start": 1032.84, "end": 1033.4, "word": " برضه", "probability": 0.9479166666666666}, {"start": 1033.4, "end": 1033.98, "word": " converge", "probability": 0.7177734375}, {"start": 1033.98, "end": 1034.28, "word": " على", "probability": 0.46728515625}, {"start": 1034.28, "end": 1034.66, "word": " مين", "probability": 0.91552734375}, {"start": 1034.66, "end": 1035.84, "word": " يبقى", "probability": 0.9158935546875}, {"start": 1035.84, "end": 1036.68, "word": " السيريز", "probability": 0.9029541015625}, {"start": 1036.68, "end": 1037.84, "word": " الأصلية", "probability": 0.77734375}, {"start": 1037.84, "end": 1039.78, "word": " ومشتقتها", "probability": 0.9563802083333334}, {"start": 1039.78, "end": 1040.9, "word": " converge", "probability": 0.9375}, {"start": 1040.9, "end": 1041.64, "word": " على", "probability": 0.94384765625}, {"start": 1041.64, "end": 1042.32, "word": " نفس", "probability": 0.997802734375}, {"start": 1042.32, "end": 1043.04, "word": " الفترة", "probability": 0.99267578125}, {"start": 1043.04, "end": 1043.86, "word": " يبقى", "probability": 0.9791259765625}, {"start": 1043.86, "end": 1044.2, "word": " بدنا", "probability": 0.4901123046875}, {"start": 1044.2, "end": 1044.62, "word": " نشيل", "probability": 0.9659830729166666}, {"start": 1044.62, "end": 1045.08, "word": " هذا", "probability": 0.96044921875}, {"start": 1045.08, "end": 1045.6, "word": " بما", "probability": 0.921630859375}, {"start": 1045.6, "end": 1046.08, "word": " يأتي", "probability": 0.78466796875}, {"start": 1046.08, "end": 1047.0, "word": " فبروح", "probability": 0.9395751953125}, {"start": 1047.0, "end": 1047.74, "word": " بقول", "probability": 0.955810546875}], "temperature": 1.0}, {"id": 44, "seek": 107834, "start": 1054.41, "end": 1078.35, "text": "هذه الـ derived كل واحد من هذه السلسلة الوحيدة الوحيدة الوحيدة موجودة في كل موقع في كل موقع في كل موقع في كل موقع", "tokens": [3224, 24192, 2423, 39184, 18949, 28242, 36764, 24401, 9154, 29538, 21136, 1211, 3794, 37977, 2423, 2407, 5016, 25708, 3660, 2423, 2407, 5016, 25708, 3660, 2423, 2407, 5016, 25708, 3660, 3714, 29245, 23328, 3660, 8978, 28242, 3714, 30543, 3615, 8978, 28242, 3714, 30543, 3615, 8978, 28242, 3714, 30543, 3615, 8978, 28242, 3714, 30543, 3615], "avg_logprob": -0.6417824018884588, "compression_ratio": 2.10752688172043, "no_speech_prob": 0.0, "words": [{"start": 1054.41, "end": 1055.47, "word": "هذه", "probability": 0.43121337890625}, {"start": 1055.47, "end": 1055.59, "word": " الـ", "probability": 0.244384765625}, {"start": 1055.59, "end": 1057.17, "word": " derived", "probability": 0.364501953125}, {"start": 1057.17, "end": 1061.35, "word": " كل", "probability": 0.175537109375}, {"start": 1061.35, "end": 1061.61, "word": " واحد", "probability": 0.6881103515625}, {"start": 1061.61, "end": 1061.61, "word": " من", "probability": 0.83056640625}, {"start": 1061.61, "end": 1061.83, "word": " هذه", "probability": 0.88916015625}, {"start": 1061.83, "end": 1063.21, "word": " السلسلة", "probability": 0.5992431640625}, {"start": 1063.21, "end": 1063.31, "word": " الوحيدة", "probability": 0.54580078125}, {"start": 1063.31, "end": 1066.51, "word": " الوحيدة", "probability": 0.7439208984375}, {"start": 1066.51, "end": 1066.59, "word": " الوحيدة", "probability": 0.7625}, {"start": 1066.59, "end": 1067.37, "word": " موجودة", "probability": 0.48699951171875}, {"start": 1067.37, "end": 1069.43, "word": " في", "probability": 0.73583984375}, {"start": 1069.43, "end": 1070.17, "word": " كل", "probability": 0.61181640625}, {"start": 1070.17, "end": 1074.25, "word": " موقع", "probability": 0.448974609375}, {"start": 1074.25, "end": 1074.27, "word": " في", "probability": 0.19482421875}, {"start": 1074.27, "end": 1077.57, "word": " كل", "probability": 0.91796875}, {"start": 1077.57, "end": 1077.89, "word": " موقع", "probability": 0.9607747395833334}, {"start": 1077.89, "end": 1078.01, "word": " في", "probability": 0.5986328125}, {"start": 1078.01, "end": 1078.27, "word": " كل", "probability": 0.94287109375}, {"start": 1078.27, "end": 1078.27, "word": " موقع", "probability": 0.9640299479166666}, {"start": 1078.27, "end": 1078.35, "word": " في", "probability": 0.77978515625}, {"start": 1078.35, "end": 1078.35, "word": " كل", "probability": 0.9638671875}, {"start": 1078.35, "end": 1078.35, "word": " موقع", "probability": 0.9679361979166666}], "temperature": 1.0}, {"id": 45, "seek": 109555, "start": 1088.23, "end": 1095.55, "text": "مقارنة مقارنة مقارنة مقارنة مقارنة", "tokens": [2304, 4587, 9640, 1863, 3660, 3714, 4587, 9640, 1863, 3660, 3714, 4587, 9640, 1863, 3660, 3714, 4587, 9640, 1863, 3660, 3714, 4587, 9640, 1863, 3660], "avg_logprob": -0.7373798352021438, "compression_ratio": 2.56, "no_speech_prob": 0.0, "words": [{"start": 1088.2299999999998, "end": 1089.6299999999999, "word": "مقارنة", "probability": 0.4943359375}, {"start": 1089.6299999999999, "end": 1091.03, "word": " مقارنة", "probability": 0.688330078125}, {"start": 1091.03, "end": 1092.21, "word": " مقارنة", "probability": 0.6759521484375}, {"start": 1092.21, "end": 1093.25, "word": " مقارنة", "probability": 0.680126953125}, {"start": 1093.25, "end": 1095.55, "word": " مقارنة", "probability": 0.71767578125}], "temperature": 1.0}, {"id": 46, "seek": 113403, "start": 1104.95, "end": 1134.03, "text": "original series يبقى كل من المتسلسلات المشتقة converge على نفس الفترة الاسيسي الأصلية converge عليها بدأ نيجي للنقطة الثانية والاخيرة في هذا ال section term by term integration theorem بعد ما فاضلنا بدنا نروح هنا ان كامل", "tokens": [29042, 2638, 7251, 3555, 4587, 7578, 28242, 9154, 9673, 2655, 3794, 1211, 3794, 1211, 9307, 9673, 8592, 2655, 28671, 41881, 15844, 8717, 36178, 27188, 2655, 25720, 2423, 32277, 1829, 3794, 1829, 16247, 36520, 10632, 41881, 25894, 11296, 47525, 10721, 8717, 1829, 7435, 1829, 24976, 1863, 47432, 3660, 6024, 104, 7649, 10632, 16070, 47283, 48923, 8978, 23758, 2423, 3541, 1433, 538, 1433, 10980, 20904, 39182, 19446, 6156, 46958, 1211, 8315, 47525, 8315, 8717, 32887, 5016, 34105, 16472, 9122, 10943, 1211], "avg_logprob": -0.23320312462747098, "compression_ratio": 1.5622119815668203, "no_speech_prob": 0.0, "words": [{"start": 1104.95, "end": 1106.19, "word": "original", "probability": 0.13720703125}, {"start": 1106.19, "end": 1107.43, "word": " series", "probability": 0.89599609375}, {"start": 1107.43, "end": 1108.95, "word": " يبقى", "probability": 0.9224853515625}, {"start": 1108.95, "end": 1109.47, "word": " كل", "probability": 0.96240234375}, {"start": 1109.47, "end": 1110.27, "word": " من", "probability": 0.8212890625}, {"start": 1110.27, "end": 1111.49, "word": " المتسلسلات", "probability": 0.97802734375}, {"start": 1111.49, "end": 1112.43, "word": " المشتقة", "probability": 0.968017578125}, {"start": 1112.43, "end": 1113.01, "word": " converge", "probability": 0.42724609375}, {"start": 1113.01, "end": 1113.53, "word": " على", "probability": 0.80419921875}, {"start": 1113.53, "end": 1113.93, "word": " نفس", "probability": 0.989013671875}, {"start": 1113.93, "end": 1114.99, "word": " الفترة", "probability": 0.9684244791666666}, {"start": 1114.99, "end": 1115.57, "word": " الاسيسي", "probability": 0.540478515625}, {"start": 1115.57, "end": 1116.19, "word": " الأصلية", "probability": 0.80810546875}, {"start": 1116.19, "end": 1116.67, "word": " converge", "probability": 0.75732421875}, {"start": 1116.67, "end": 1117.63, "word": " عليها", "probability": 0.994873046875}, {"start": 1117.63, "end": 1118.45, "word": " بدأ", "probability": 0.3433837890625}, {"start": 1118.45, "end": 1118.69, "word": " نيجي", "probability": 0.82855224609375}, {"start": 1118.69, "end": 1119.51, "word": " للنقطة", "probability": 0.9068603515625}, {"start": 1119.51, "end": 1120.07, "word": " الثانية", "probability": 0.906005859375}, {"start": 1120.07, "end": 1121.87, "word": " والاخيرة", "probability": 0.781005859375}, {"start": 1121.87, "end": 1122.69, "word": " في", "probability": 0.95166015625}, {"start": 1122.69, "end": 1123.19, "word": " هذا", "probability": 0.9169921875}, {"start": 1123.19, "end": 1123.63, "word": " ال", "probability": 0.732421875}, {"start": 1123.63, "end": 1124.23, "word": " section", "probability": 0.8515625}, {"start": 1124.23, "end": 1125.39, "word": " term", "probability": 0.9619140625}, {"start": 1125.39, "end": 1125.69, "word": " by", "probability": 0.90966796875}, {"start": 1125.69, "end": 1126.15, "word": " term", "probability": 0.96337890625}, {"start": 1126.15, "end": 1126.81, "word": " integration", "probability": 0.92724609375}, {"start": 1126.81, "end": 1127.63, "word": " theorem", "probability": 0.76416015625}, {"start": 1127.63, "end": 1130.47, "word": " بعد", "probability": 0.68701171875}, {"start": 1130.47, "end": 1130.77, "word": " ما", "probability": 0.90576171875}, {"start": 1130.77, "end": 1131.61, "word": " فاضلنا", "probability": 0.8778076171875}, {"start": 1131.61, "end": 1131.97, "word": " بدنا", "probability": 0.8642578125}, {"start": 1131.97, "end": 1132.27, "word": " نروح", "probability": 0.9728190104166666}, {"start": 1132.27, "end": 1132.73, "word": " هنا", "probability": 0.60546875}, {"start": 1132.73, "end": 1133.25, "word": " ان", "probability": 0.250244140625}, {"start": 1133.25, "end": 1134.03, "word": " كامل", "probability": 0.90380859375}], "temperature": 1.0}, {"id": 47, "seek": 116434, "start": 1138.81, "end": 1164.35, "text": "بقول افترض انه suppose that suppose that ال F of X بده تسوي ال summation من N equal zero to infinity ل C N X نقص ال A to the power N converged for X", "tokens": [3555, 39648, 1975, 5172, 2655, 43042, 16472, 3224, 7297, 300, 7297, 300, 2423, 479, 295, 1783, 47525, 3224, 6055, 3794, 45865, 2423, 28811, 9154, 426, 2681, 4018, 281, 13202, 5296, 383, 426, 1783, 8717, 4587, 9381, 2423, 316, 281, 264, 1347, 426, 9652, 3004, 337, 1783], "avg_logprob": -0.3178191387906988, "compression_ratio": 1.2094594594594594, "no_speech_prob": 0.0, "words": [{"start": 1138.81, "end": 1139.23, "word": "بقول", "probability": 0.5123291015625}, {"start": 1139.23, "end": 1139.73, "word": " افترض", "probability": 0.8424072265625}, {"start": 1139.73, "end": 1140.17, "word": " انه", "probability": 0.787841796875}, {"start": 1140.17, "end": 1140.49, "word": " suppose", "probability": 0.55615234375}, {"start": 1140.49, "end": 1141.33, "word": " that", "probability": 0.9033203125}, {"start": 1141.33, "end": 1145.93, "word": " suppose", "probability": 0.3193359375}, {"start": 1145.93, "end": 1146.57, "word": " that", "probability": 0.91357421875}, {"start": 1146.57, "end": 1146.79, "word": " ال", "probability": 0.587890625}, {"start": 1146.79, "end": 1147.17, "word": " F", "probability": 0.65673828125}, {"start": 1147.17, "end": 1147.73, "word": " of", "probability": 0.75048828125}, {"start": 1147.73, "end": 1148.43, "word": " X", "probability": 0.9375}, {"start": 1148.43, "end": 1149.65, "word": " بده", "probability": 0.4910888671875}, {"start": 1149.65, "end": 1150.19, "word": " تسوي", "probability": 0.7623697916666666}, {"start": 1150.19, "end": 1150.39, "word": " ال", "probability": 0.5751953125}, {"start": 1150.39, "end": 1151.07, "word": " summation", "probability": 0.744140625}, {"start": 1151.07, "end": 1151.53, "word": " من", "probability": 0.99072265625}, {"start": 1151.53, "end": 1151.85, "word": " N", "probability": 0.72509765625}, {"start": 1151.85, "end": 1152.35, "word": " equal", "probability": 0.61181640625}, {"start": 1152.35, "end": 1152.87, "word": " zero", "probability": 0.58154296875}, {"start": 1152.87, "end": 1153.17, "word": " to", "probability": 0.9658203125}, {"start": 1153.17, "end": 1154.03, "word": " infinity", "probability": 0.83251953125}, {"start": 1154.03, "end": 1155.11, "word": " ل", "probability": 0.71630859375}, {"start": 1155.11, "end": 1155.57, "word": " C", "probability": 0.3291015625}, {"start": 1155.57, "end": 1156.15, "word": " N", "probability": 0.74609375}, {"start": 1156.15, "end": 1156.71, "word": " X", "probability": 0.8642578125}, {"start": 1156.71, "end": 1157.41, "word": " نقص", "probability": 0.9567057291666666}, {"start": 1157.41, "end": 1157.65, "word": " ال", "probability": 0.6708984375}, {"start": 1157.65, "end": 1157.93, "word": " A", "probability": 0.54345703125}, {"start": 1157.93, "end": 1158.13, "word": " to", "probability": 0.94091796875}, {"start": 1158.13, "end": 1158.41, "word": " the", "probability": 0.91748046875}, {"start": 1158.41, "end": 1158.85, "word": " power", "probability": 0.8896484375}, {"start": 1158.85, "end": 1159.49, "word": " N", "probability": 0.943359375}, {"start": 1159.49, "end": 1161.59, "word": " converged", "probability": 0.622802734375}, {"start": 1161.59, "end": 1162.87, "word": " for", "probability": 0.93017578125}, {"start": 1162.87, "end": 1164.35, "word": " X", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 48, "seek": 117827, "start": 1165.61, "end": 1178.27, "text": "اللي هي أكبر من ال A ناقص ال R وأقل من ال A زائد ال R وال R greater than zero", "tokens": [6027, 20292, 39896, 5551, 4117, 26890, 9154, 2423, 316, 8717, 995, 4587, 9381, 2423, 497, 36725, 4587, 1211, 9154, 2423, 316, 30767, 16373, 3215, 2423, 497, 16070, 497, 5044, 813, 4018], "avg_logprob": -0.2988281287252903, "compression_ratio": 1.2666666666666666, "no_speech_prob": 0.0, "words": [{"start": 1165.61, "end": 1166.11, "word": "اللي", "probability": 0.3880615234375}, {"start": 1166.11, "end": 1166.47, "word": " هي", "probability": 0.85986328125}, {"start": 1166.47, "end": 1167.25, "word": " أكبر", "probability": 0.85986328125}, {"start": 1167.25, "end": 1167.63, "word": " من", "probability": 0.99169921875}, {"start": 1167.63, "end": 1167.97, "word": " ال", "probability": 0.7861328125}, {"start": 1167.97, "end": 1168.23, "word": " A", "probability": 0.2479248046875}, {"start": 1168.23, "end": 1168.97, "word": " ناقص", "probability": 0.877197265625}, {"start": 1168.97, "end": 1169.19, "word": " ال", "probability": 0.95849609375}, {"start": 1169.19, "end": 1169.49, "word": " R", "probability": 0.89892578125}, {"start": 1169.49, "end": 1170.51, "word": " وأقل", "probability": 0.8025716145833334}, {"start": 1170.51, "end": 1170.87, "word": " من", "probability": 0.99609375}, {"start": 1170.87, "end": 1171.21, "word": " ال", "probability": 0.662109375}, {"start": 1171.21, "end": 1171.59, "word": " A", "probability": 0.95654296875}, {"start": 1171.59, "end": 1172.39, "word": " زائد", "probability": 0.9124348958333334}, {"start": 1172.39, "end": 1172.65, "word": " ال", "probability": 0.927734375}, {"start": 1172.65, "end": 1173.11, "word": " R", "probability": 0.97802734375}, {"start": 1173.11, "end": 1175.41, "word": " وال", "probability": 0.6279296875}, {"start": 1175.41, "end": 1176.13, "word": " R", "probability": 0.5908203125}, {"start": 1176.13, "end": 1177.13, "word": " greater", "probability": 0.361083984375}, {"start": 1177.13, "end": 1177.77, "word": " than", "probability": 0.9404296875}, {"start": 1177.77, "end": 1178.27, "word": " zero", "probability": 0.441162109375}], "temperature": 1.0}, {"id": 49, "seek": 120701, "start": 1202.33, "end": 1207.01, "text": "النفس الفترة اللي عندنا هذه", "tokens": [6027, 1863, 36178, 27188, 2655, 25720, 13672, 1829, 43242, 8315, 29538], "avg_logprob": -0.5026041517655054, "compression_ratio": 0.9433962264150944, "no_speech_prob": 0.0, "words": [{"start": 1202.33, "end": 1203.73, "word": "النفس", "probability": 0.5405069986979166}, {"start": 1203.73, "end": 1205.13, "word": " الفترة", "probability": 0.9767252604166666}, {"start": 1205.13, "end": 1205.93, "word": " اللي", "probability": 0.6834716796875}, {"start": 1205.93, "end": 1206.49, "word": " عندنا", "probability": 0.897216796875}, {"start": 1206.49, "end": 1207.01, "word": " هذه", "probability": 0.57275390625}], "temperature": 1.0}, {"id": 50, "seek": 123267, "start": 1207.79, "end": 1232.67, "text": "الـ A ناقص الـ R إلى الـ A زائد R and وفي نفس الوقت تكامل لل F of X DX بدي ساوي اللي هو summation من N equal zero to infinity لمين؟ للـCN X ناقص الـ A", "tokens": [6027, 39184, 316, 8717, 995, 4587, 9381, 2423, 39184, 497, 30731, 2423, 39184, 316, 30767, 16373, 3215, 497, 293, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 6055, 4117, 10943, 1211, 24976, 479, 295, 1783, 48817, 4724, 16254, 8608, 995, 45865, 13672, 1829, 31439, 28811, 9154, 426, 2681, 4018, 281, 13202, 32767, 9957, 22807, 24976, 39184, 34, 45, 1783, 8717, 995, 4587, 9381, 2423, 39184, 316], "avg_logprob": -0.29474432721282495, "compression_ratio": 1.3132530120481927, "no_speech_prob": 0.0, "words": [{"start": 1207.79, "end": 1208.37, "word": "الـ", "probability": 0.35345458984375}, {"start": 1208.37, "end": 1208.55, "word": " A", "probability": 0.25927734375}, {"start": 1208.55, "end": 1209.09, "word": " ناقص", "probability": 0.79754638671875}, {"start": 1209.09, "end": 1209.29, "word": " الـ", "probability": 0.848876953125}, {"start": 1209.29, "end": 1209.51, "word": " R", "probability": 0.73193359375}, {"start": 1209.51, "end": 1209.77, "word": " إلى", "probability": 0.8017578125}, {"start": 1209.77, "end": 1210.05, "word": " الـ", "probability": 0.7286376953125}, {"start": 1210.05, "end": 1210.27, "word": " A", "probability": 0.84033203125}, {"start": 1210.27, "end": 1210.91, "word": " زائد", "probability": 0.771484375}, {"start": 1210.91, "end": 1211.45, "word": " R", "probability": 0.91064453125}, {"start": 1211.45, "end": 1212.55, "word": " and", "probability": 0.5654296875}, {"start": 1212.55, "end": 1213.77, "word": " وفي", "probability": 0.8740234375}, {"start": 1213.77, "end": 1214.17, "word": " نفس", "probability": 0.998046875}, {"start": 1214.17, "end": 1214.81, "word": " الوقت", "probability": 0.9889322916666666}, {"start": 1214.81, "end": 1216.31, "word": " تكامل", "probability": 0.9622802734375}, {"start": 1216.31, "end": 1217.13, "word": " لل", "probability": 0.708984375}, {"start": 1217.13, "end": 1217.57, "word": " F", "probability": 0.423583984375}, {"start": 1217.57, "end": 1217.93, "word": " of", "probability": 0.59033203125}, {"start": 1217.93, "end": 1218.49, "word": " X", "probability": 0.904296875}, {"start": 1218.49, "end": 1219.27, "word": " DX", "probability": 0.82958984375}, {"start": 1219.27, "end": 1220.35, "word": " بدي", "probability": 0.41033935546875}, {"start": 1220.35, "end": 1221.11, "word": " ساوي", "probability": 0.89794921875}, {"start": 1221.11, "end": 1221.89, "word": " اللي", "probability": 0.818115234375}, {"start": 1221.89, "end": 1222.13, "word": " هو", "probability": 0.98291015625}, {"start": 1222.13, "end": 1223.15, "word": " summation", "probability": 0.342529296875}, {"start": 1223.15, "end": 1224.21, "word": " من", "probability": 0.953125}, {"start": 1224.21, "end": 1224.59, "word": " N", "probability": 0.82958984375}, {"start": 1224.59, "end": 1225.09, "word": " equal", "probability": 0.65087890625}, {"start": 1225.09, "end": 1225.57, "word": " zero", "probability": 0.51708984375}, {"start": 1225.57, "end": 1225.89, "word": " to", "probability": 0.97216796875}, {"start": 1225.89, "end": 1227.03, "word": " infinity", "probability": 0.8515625}, {"start": 1227.03, "end": 1228.53, "word": " لمين؟", "probability": 0.7139485677083334}, {"start": 1228.53, "end": 1229.83, "word": " للـCN", "probability": 0.4765625}, {"start": 1229.83, "end": 1230.69, "word": " X", "probability": 0.82080078125}, {"start": 1230.69, "end": 1231.69, "word": " ناقص", "probability": 0.9901123046875}, {"start": 1231.69, "end": 1232.29, "word": " الـ", "probability": 0.948974609375}, {"start": 1232.29, "end": 1232.67, "word": " A", "probability": 0.72021484375}], "temperature": 1.0}, {"id": 51, "seek": 125996, "start": 1233.24, "end": 1259.96, "text": "to the power n plus one على n plus one plus constant c على نفس الفترة اللي هو من a ناقص r إلى a زائد r examples consider the function", "tokens": [1353, 264, 1347, 297, 1804, 472, 15844, 297, 1804, 472, 1804, 5754, 269, 15844, 8717, 36178, 27188, 2655, 25720, 13672, 1829, 31439, 9154, 257, 8717, 995, 4587, 9381, 367, 30731, 257, 30767, 16373, 3215, 367, 5110, 1949, 264, 2445], "avg_logprob": -0.24707031548023223, "compression_ratio": 1.255639097744361, "no_speech_prob": 0.0, "words": [{"start": 1233.24, "end": 1233.5, "word": "to", "probability": 0.1444091796875}, {"start": 1233.5, "end": 1233.8, "word": " the", "probability": 0.8408203125}, {"start": 1233.8, "end": 1234.44, "word": " power", "probability": 0.90869140625}, {"start": 1234.44, "end": 1235.14, "word": " n", "probability": 0.427001953125}, {"start": 1235.14, "end": 1235.8, "word": " plus", "probability": 0.42919921875}, {"start": 1235.8, "end": 1236.38, "word": " one", "probability": 0.892578125}, {"start": 1236.38, "end": 1237.32, "word": " على", "probability": 0.57373046875}, {"start": 1237.32, "end": 1237.76, "word": " n", "probability": 0.80908203125}, {"start": 1237.76, "end": 1238.2, "word": " plus", "probability": 0.96533203125}, {"start": 1238.2, "end": 1239.28, "word": " one", "probability": 0.9521484375}, {"start": 1239.28, "end": 1239.82, "word": " plus", "probability": 0.91943359375}, {"start": 1239.82, "end": 1240.54, "word": " constant", "probability": 0.92529296875}, {"start": 1240.54, "end": 1241.26, "word": " c", "probability": 0.70166015625}, {"start": 1241.26, "end": 1242.16, "word": " على", "probability": 0.869140625}, {"start": 1242.16, "end": 1242.74, "word": " نفس", "probability": 0.987548828125}, {"start": 1242.74, "end": 1243.76, "word": " الفترة", "probability": 0.9921875}, {"start": 1243.76, "end": 1244.46, "word": " اللي", "probability": 0.6419677734375}, {"start": 1244.46, "end": 1244.6, "word": " هو", "probability": 0.658203125}, {"start": 1244.6, "end": 1244.82, "word": " من", "probability": 0.9501953125}, {"start": 1244.82, "end": 1245.26, "word": " a", "probability": 0.85595703125}, {"start": 1245.26, "end": 1245.96, "word": " ناقص", "probability": 0.944580078125}, {"start": 1245.96, "end": 1246.5, "word": " r", "probability": 0.414794921875}, {"start": 1246.5, "end": 1247.32, "word": " إلى", "probability": 0.79736328125}, {"start": 1247.32, "end": 1248.08, "word": " a", "probability": 0.96923828125}, {"start": 1248.08, "end": 1249.42, "word": " زائد", "probability": 0.8580729166666666}, {"start": 1249.42, "end": 1249.9, "word": " r", "probability": 0.71484375}, {"start": 1249.9, "end": 1253.22, "word": " examples", "probability": 0.348876953125}, {"start": 1253.22, "end": 1259.04, "word": " consider", "probability": 0.91650390625}, {"start": 1259.04, "end": 1259.34, "word": " the", "probability": 0.7177734375}, {"start": 1259.34, "end": 1259.96, "word": " function", "probability": 0.974609375}], "temperature": 1.0}, {"id": 52, "seek": 127338, "start": 1264.68, "end": 1273.38, "text": "يعتبر الدالة EO6 يساوي summation من N equal zero to infinity", "tokens": [1829, 34268, 26890, 32748, 6027, 3660, 462, 46, 21, 7251, 3794, 995, 45865, 28811, 9154, 426, 2681, 4018, 281, 13202], "avg_logprob": -0.48288691611517043, "compression_ratio": 0.9285714285714286, "no_speech_prob": 0.0, "words": [{"start": 1264.68, "end": 1265.44, "word": "يعتبر", "probability": 0.4962158203125}, {"start": 1265.44, "end": 1266.34, "word": " الدالة", "probability": 0.9148763020833334}, {"start": 1266.34, "end": 1268.12, "word": " EO6", "probability": 0.606689453125}, {"start": 1268.12, "end": 1268.84, "word": " يساوي", "probability": 0.73016357421875}, {"start": 1268.84, "end": 1269.8, "word": " summation", "probability": 0.126220703125}, {"start": 1269.8, "end": 1270.84, "word": " من", "probability": 0.8828125}, {"start": 1270.84, "end": 1271.2, "word": " N", "probability": 0.6298828125}, {"start": 1271.2, "end": 1271.7, "word": " equal", "probability": 0.157958984375}, {"start": 1271.7, "end": 1272.16, "word": " zero", "probability": 0.409912109375}, {"start": 1272.16, "end": 1272.5, "word": " to", "probability": 0.96728515625}, {"start": 1272.5, "end": 1273.38, "word": " infinity", "probability": 0.83154296875}], "temperature": 1.0}, {"id": 53, "seek": 130104, "start": 1274.04, "end": 1301.04, "text": "للـ x to the power n على n factorial اللي هي واحد زاد x زاد x تربيع اتنين factorial x تكيب على تلاتة factorial زاد x أس n على n factorial زاد الاخرين that converge for all x", "tokens": [1211, 1211, 39184, 2031, 281, 264, 1347, 297, 15844, 297, 36916, 13672, 1829, 39896, 36764, 24401, 30767, 18513, 2031, 30767, 18513, 2031, 6055, 25513, 40228, 1975, 2655, 1863, 9957, 36916, 2031, 6055, 4117, 1829, 3555, 15844, 6055, 1211, 9307, 3660, 36916, 30767, 18513, 2031, 5551, 3794, 297, 15844, 297, 36916, 30767, 18513, 2423, 47283, 2288, 9957, 300, 41881, 337, 439, 2031], "avg_logprob": -0.2503780097730698, "compression_ratio": 1.5562913907284768, "no_speech_prob": 0.0, "words": [{"start": 1274.04, "end": 1274.66, "word": "للـ", "probability": 0.34197998046875}, {"start": 1274.66, "end": 1274.94, "word": " x", "probability": 0.60693359375}, {"start": 1274.94, "end": 1275.16, "word": " to", "probability": 0.56689453125}, {"start": 1275.16, "end": 1275.42, "word": " the", "probability": 0.90478515625}, {"start": 1275.42, "end": 1275.82, "word": " power", "probability": 0.89306640625}, {"start": 1275.82, "end": 1276.22, "word": " n", "probability": 0.56787109375}, {"start": 1276.22, "end": 1276.58, "word": " على", "probability": 0.6171875}, {"start": 1276.58, "end": 1277.0, "word": " n", "probability": 0.92431640625}, {"start": 1277.0, "end": 1277.98, "word": " factorial", "probability": 0.767578125}, {"start": 1277.98, "end": 1278.9, "word": " اللي", "probability": 0.7056884765625}, {"start": 1278.9, "end": 1279.12, "word": " هي", "probability": 0.64453125}, {"start": 1279.12, "end": 1279.74, "word": " واحد", "probability": 0.900634765625}, {"start": 1279.74, "end": 1280.82, "word": " زاد", "probability": 0.760986328125}, {"start": 1280.82, "end": 1281.34, "word": " x", "probability": 0.94970703125}, {"start": 1281.34, "end": 1282.24, "word": " زاد", "probability": 0.90185546875}, {"start": 1282.24, "end": 1282.54, "word": " x", "probability": 0.9853515625}, {"start": 1282.54, "end": 1283.02, "word": " تربيع", "probability": 0.6322835286458334}, {"start": 1283.02, "end": 1283.56, "word": " اتنين", "probability": 0.8814697265625}, {"start": 1283.56, "end": 1284.32, "word": " factorial", "probability": 0.8173828125}, {"start": 1284.32, "end": 1285.26, "word": " x", "probability": 0.837890625}, {"start": 1285.26, "end": 1285.8, "word": " تكيب", "probability": 0.950927734375}, {"start": 1285.8, "end": 1285.98, "word": " على", "probability": 0.8154296875}, {"start": 1285.98, "end": 1286.54, "word": " تلاتة", "probability": 0.9609375}, {"start": 1286.54, "end": 1287.32, "word": " factorial", "probability": 0.7958984375}, {"start": 1287.32, "end": 1288.52, "word": " زاد", "probability": 0.955810546875}, {"start": 1288.52, "end": 1288.78, "word": " x", "probability": 0.98974609375}, {"start": 1288.78, "end": 1289.12, "word": " أس", "probability": 0.701416015625}, {"start": 1289.12, "end": 1289.48, "word": " n", "probability": 0.490966796875}, {"start": 1289.48, "end": 1289.8, "word": " على", "probability": 0.8876953125}, {"start": 1289.8, "end": 1290.1, "word": " n", "probability": 0.9814453125}, {"start": 1290.1, "end": 1290.98, "word": " factorial", "probability": 0.84375}, {"start": 1290.98, "end": 1292.54, "word": " زاد", "probability": 0.94482421875}, {"start": 1292.54, "end": 1293.66, "word": " الاخرين", "probability": 0.77581787109375}, {"start": 1293.66, "end": 1295.08, "word": " that", "probability": 0.61865234375}, {"start": 1295.08, "end": 1297.54, "word": " converge", "probability": 0.92822265625}, {"start": 1297.54, "end": 1298.64, "word": " for", "probability": 0.95947265625}, {"start": 1298.64, "end": 1300.38, "word": " all", "probability": 0.9609375}, {"start": 1300.38, "end": 1301.04, "word": " x", "probability": 0.990234375}], "temperature": 1.0}, {"id": 54, "seek": 132983, "start": 1302.53, "end": 1329.83, "text": "المطلوب الأول show that بيّلي ان مشتقة ال EO6 بده تساوي ال EO6 نمرا بيه show that بيّلي تكامل ال EO6 DX بده يساوي ال EO6 زائد constant C", "tokens": [45340, 9566, 1211, 37746, 16247, 12610, 855, 300, 4724, 1829, 11703, 20292, 16472, 37893, 2655, 28671, 2423, 462, 46, 21, 47525, 3224, 6055, 3794, 995, 45865, 2423, 462, 46, 21, 8717, 2304, 23557, 4724, 1829, 3224, 855, 300, 4724, 1829, 11703, 20292, 6055, 4117, 10943, 1211, 2423, 462, 46, 21, 48817, 47525, 3224, 7251, 3794, 995, 45865, 2423, 462, 46, 21, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.2910447627750795, "compression_ratio": 1.4855072463768115, "no_speech_prob": 0.0, "words": [{"start": 1302.53, "end": 1303.21, "word": "المطلوب", "probability": 0.77392578125}, {"start": 1303.21, "end": 1303.97, "word": " الأول", "probability": 0.92431640625}, {"start": 1303.97, "end": 1304.93, "word": " show", "probability": 0.260498046875}, {"start": 1304.93, "end": 1305.73, "word": " that", "probability": 0.82373046875}, {"start": 1305.73, "end": 1307.87, "word": " بيّلي", "probability": 0.58697509765625}, {"start": 1307.87, "end": 1308.43, "word": " ان", "probability": 0.37060546875}, {"start": 1308.43, "end": 1310.55, "word": " مشتقة", "probability": 0.740478515625}, {"start": 1310.55, "end": 1311.77, "word": " ال", "probability": 0.744140625}, {"start": 1311.77, "end": 1312.89, "word": " EO6", "probability": 0.7157389322916666}, {"start": 1312.89, "end": 1313.77, "word": " بده", "probability": 0.2491455078125}, {"start": 1313.77, "end": 1314.29, "word": " تساوي", "probability": 0.9215087890625}, {"start": 1314.29, "end": 1314.49, "word": " ال", "probability": 0.78369140625}, {"start": 1314.49, "end": 1315.35, "word": " EO6", "probability": 0.9611002604166666}, {"start": 1315.35, "end": 1316.65, "word": " نمرا", "probability": 0.56787109375}, {"start": 1316.65, "end": 1317.33, "word": " بيه", "probability": 0.8929036458333334}, {"start": 1317.33, "end": 1318.77, "word": " show", "probability": 0.84130859375}, {"start": 1318.77, "end": 1320.21, "word": " that", "probability": 0.95068359375}, {"start": 1320.21, "end": 1322.15, "word": " بيّلي", "probability": 0.9686279296875}, {"start": 1322.15, "end": 1323.05, "word": " تكامل", "probability": 0.9547119140625}, {"start": 1323.05, "end": 1323.27, "word": " ال", "probability": 0.759765625}, {"start": 1323.27, "end": 1324.19, "word": " EO6", "probability": 0.974609375}, {"start": 1324.19, "end": 1324.91, "word": " DX", "probability": 0.6552734375}, {"start": 1324.91, "end": 1325.69, "word": " بده", "probability": 0.75390625}, {"start": 1325.69, "end": 1326.03, "word": " يساوي", "probability": 0.84375}, {"start": 1326.03, "end": 1326.21, "word": " ال", "probability": 0.83056640625}, {"start": 1326.21, "end": 1327.21, "word": " EO6", "probability": 0.9814453125}, {"start": 1327.21, "end": 1328.53, "word": " زائد", "probability": 0.8040364583333334}, {"start": 1328.53, "end": 1329.23, "word": " constant", "probability": 0.354736328125}, {"start": 1329.23, "end": 1329.83, "word": " C", "probability": 0.84912109375}], "temperature": 1.0}, {"id": 55, "seek": 136529, "start": 1358.33, "end": 1365.29, "text": "أحنا هنا كنا بنتكلم عن الاشتقاق لل power series و as a function", "tokens": [10721, 5016, 8315, 34105, 9122, 8315, 4724, 29399, 4117, 19528, 18871, 2423, 33599, 2655, 4587, 995, 4587, 24976, 1347, 2638, 4032, 382, 257, 2445], "avg_logprob": -0.2645312404632568, "compression_ratio": 1.0454545454545454, "no_speech_prob": 0.0, "words": [{"start": 1358.33, "end": 1358.69, "word": "أحنا", "probability": 0.7456868489583334}, {"start": 1358.69, "end": 1358.89, "word": " هنا", "probability": 0.75}, {"start": 1358.89, "end": 1359.19, "word": " كنا", "probability": 0.985595703125}, {"start": 1359.19, "end": 1359.91, "word": " بنتكلم", "probability": 0.808837890625}, {"start": 1359.91, "end": 1360.91, "word": " عن", "probability": 0.962890625}, {"start": 1360.91, "end": 1361.83, "word": " الاشتقاق", "probability": 0.744873046875}, {"start": 1361.83, "end": 1362.01, "word": " لل", "probability": 0.9453125}, {"start": 1362.01, "end": 1362.43, "word": " power", "probability": 0.5283203125}, {"start": 1362.43, "end": 1363.25, "word": " series", "probability": 0.87255859375}, {"start": 1363.25, "end": 1363.83, "word": " و", "probability": 0.5439453125}, {"start": 1363.83, "end": 1364.35, "word": " as", "probability": 0.798828125}, {"start": 1364.35, "end": 1364.75, "word": " a", "probability": 0.9521484375}, {"start": 1364.75, "end": 1365.29, "word": " function", "probability": 0.98046875}], "temperature": 1.0}, {"id": 56, "seek": 139353, "start": 1365.89, "end": 1393.53, "text": "محطوطة ال series اللي عندنا as a function على الشكل اللي عندنا هذا اشتقنا مرة و مرتين و في كل مرة بتغير ال index اللي تحت ال summation كل اشتقاق بنجس ال index بمقدار واحد ال series المشتقة و ال series الأصلية كلهم converge على نفس الفترة تعليل ال integration term by term", "tokens": [2304, 5016, 9566, 2407, 9566, 3660, 2423, 2638, 13672, 1829, 43242, 8315, 382, 257, 2445, 15844, 25124, 28820, 13672, 1829, 43242, 8315, 23758, 1975, 8592, 2655, 4587, 8315, 3714, 25720, 4032, 3714, 43500, 9957, 4032, 8978, 28242, 3714, 25720, 39894, 17082, 13546, 2423, 8186, 13672, 1829, 6055, 33753, 2423, 28811, 28242, 1975, 8592, 2655, 4587, 995, 4587, 44945, 7435, 3794, 2423, 8186, 4724, 2304, 28543, 9640, 36764, 24401, 2423, 2638, 9673, 8592, 2655, 28671, 4032, 2423, 2638, 16247, 9381, 1211, 10632, 28242, 16095, 41881, 15844, 8717, 36178, 27188, 2655, 25720, 37279, 20292, 1211, 2423, 10980, 1433, 538, 1433], "avg_logprob": -0.15482954906694818, "compression_ratio": 1.8114035087719298, "no_speech_prob": 0.0, "words": [{"start": 1365.89, "end": 1366.91, "word": "محطوطة", "probability": 0.7412109375}, {"start": 1366.91, "end": 1367.35, "word": " ال", "probability": 0.513671875}, {"start": 1367.35, "end": 1367.59, "word": " series", "probability": 0.66845703125}, {"start": 1367.59, "end": 1367.93, "word": " اللي", "probability": 0.6080322265625}, {"start": 1367.93, "end": 1368.35, "word": " عندنا", "probability": 0.84326171875}, {"start": 1368.35, "end": 1368.67, "word": " as", "probability": 0.55322265625}, {"start": 1368.67, "end": 1368.93, "word": " a", "probability": 0.8623046875}, {"start": 1368.93, "end": 1369.41, "word": " function", "probability": 0.9560546875}, {"start": 1369.41, "end": 1369.63, "word": " على", "probability": 0.7568359375}, {"start": 1369.63, "end": 1370.09, "word": " الشكل", "probability": 0.97314453125}, {"start": 1370.09, "end": 1370.27, "word": " اللي", "probability": 0.964599609375}, {"start": 1370.27, "end": 1370.59, "word": " عندنا", "probability": 0.94287109375}, {"start": 1370.59, "end": 1370.91, "word": " هذا", "probability": 0.66162109375}, {"start": 1370.91, "end": 1372.17, "word": " اشتقنا", "probability": 0.841015625}, {"start": 1372.17, "end": 1372.99, "word": " مرة", "probability": 0.97802734375}, {"start": 1372.99, "end": 1373.17, "word": " و", "probability": 0.9921875}, {"start": 1373.17, "end": 1373.89, "word": " مرتين", "probability": 0.8629557291666666}, {"start": 1373.89, "end": 1374.43, "word": " و", "probability": 0.95166015625}, {"start": 1374.43, "end": 1374.61, "word": " في", "probability": 0.5185546875}, {"start": 1374.61, "end": 1374.95, "word": " كل", "probability": 0.60693359375}, {"start": 1374.95, "end": 1375.35, "word": " مرة", "probability": 0.9912109375}, {"start": 1375.35, "end": 1376.03, "word": " بتغير", "probability": 0.9261067708333334}, {"start": 1376.03, "end": 1376.23, "word": " ال", "probability": 0.96435546875}, {"start": 1376.23, "end": 1376.83, "word": " index", "probability": 0.94140625}, {"start": 1376.83, "end": 1377.29, "word": " اللي", "probability": 0.914794921875}, {"start": 1377.29, "end": 1377.71, "word": " تحت", "probability": 0.99267578125}, {"start": 1377.71, "end": 1377.93, "word": " ال", "probability": 0.85009765625}, {"start": 1377.93, "end": 1378.59, "word": " summation", "probability": 0.9501953125}, {"start": 1378.59, "end": 1379.65, "word": " كل", "probability": 0.8828125}, {"start": 1379.65, "end": 1380.39, "word": " اشتقاق", "probability": 0.976806640625}, {"start": 1380.39, "end": 1381.15, "word": " بنجس", "probability": 0.89990234375}, {"start": 1381.15, "end": 1381.31, "word": " ال", "probability": 0.98388671875}, {"start": 1381.31, "end": 1381.75, "word": " index", "probability": 0.943359375}, {"start": 1381.75, "end": 1382.73, "word": " بمقدار", "probability": 0.9808349609375}, {"start": 1382.73, "end": 1383.43, "word": " واحد", "probability": 0.932861328125}, {"start": 1383.43, "end": 1384.55, "word": " ال", "probability": 0.75927734375}, {"start": 1384.55, "end": 1385.07, "word": " series", "probability": 0.95068359375}, {"start": 1385.07, "end": 1386.05, "word": " المشتقة", "probability": 0.9757080078125}, {"start": 1386.05, "end": 1386.45, "word": " و", "probability": 0.63134765625}, {"start": 1386.45, "end": 1386.55, "word": " ال", "probability": 0.80517578125}, {"start": 1386.55, "end": 1386.75, "word": " series", "probability": 0.8681640625}, {"start": 1386.75, "end": 1387.53, "word": " الأصلية", "probability": 0.73419189453125}, {"start": 1387.53, "end": 1388.11, "word": " كلهم", "probability": 0.955322265625}, {"start": 1388.11, "end": 1388.73, "word": " converge", "probability": 0.82568359375}, {"start": 1388.73, "end": 1389.05, "word": " على", "probability": 0.9013671875}, {"start": 1389.05, "end": 1389.47, "word": " نفس", "probability": 0.998046875}, {"start": 1389.47, "end": 1390.23, "word": " الفترة", "probability": 0.9939778645833334}, {"start": 1390.23, "end": 1391.35, "word": " تعليل", "probability": 0.6941731770833334}, {"start": 1391.35, "end": 1391.51, "word": " ال", "probability": 0.99365234375}, {"start": 1391.51, "end": 1392.07, "word": " integration", "probability": 0.9775390625}, {"start": 1392.07, "end": 1392.57, "word": " term", "probability": 0.72509765625}, {"start": 1392.57, "end": 1392.91, "word": " by", "probability": 0.96728515625}, {"start": 1392.91, "end": 1393.53, "word": " term", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 57, "seek": 141123, "start": 1394.01, "end": 1411.23, "text": "يعني بدنا نكامل كل term من حدود ال series ونعرف ما هو شكل ال series الناتجة يفترض ان ال F of X مكتوبة عندي على شكل summation بهذا الشكل طبعا يمكن تستغربوا", "tokens": [40228, 22653, 47525, 8315, 8717, 4117, 10943, 1211, 28242, 1433, 9154, 11331, 3215, 23328, 2423, 2638, 4032, 1863, 3615, 28480, 19446, 31439, 13412, 28820, 2423, 2638, 28239, 9307, 7435, 3660, 7251, 5172, 2655, 43042, 16472, 2423, 479, 295, 1783, 3714, 4117, 2655, 37746, 3660, 18871, 16254, 15844, 13412, 28820, 28811, 39627, 15730, 25124, 28820, 23032, 3555, 3615, 995, 7251, 43020, 6055, 14851, 17082, 25513, 14407], "avg_logprob": -0.1841856042544047, "compression_ratio": 1.4502923976608186, "no_speech_prob": 0.0, "words": [{"start": 1394.01, "end": 1394.49, "word": "يعني", "probability": 0.6048583984375}, {"start": 1394.49, "end": 1394.97, "word": " بدنا", "probability": 0.841064453125}, {"start": 1394.97, "end": 1395.63, "word": " نكامل", "probability": 0.8443603515625}, {"start": 1395.63, "end": 1396.17, "word": " كل", "probability": 0.97607421875}, {"start": 1396.17, "end": 1396.83, "word": " term", "probability": 0.8525390625}, {"start": 1396.83, "end": 1397.19, "word": " من", "probability": 0.986328125}, {"start": 1397.19, "end": 1398.23, "word": " حدود", "probability": 0.9905598958333334}, {"start": 1398.23, "end": 1398.69, "word": " ال", "probability": 0.8701171875}, {"start": 1398.69, "end": 1399.25, "word": " series", "probability": 0.93115234375}, {"start": 1399.25, "end": 1400.27, "word": " ونعرف", "probability": 0.859619140625}, {"start": 1400.27, "end": 1400.43, "word": " ما", "probability": 0.73828125}, {"start": 1400.43, "end": 1400.69, "word": " هو", "probability": 0.64697265625}, {"start": 1400.69, "end": 1401.09, "word": " شكل", "probability": 0.9794921875}, {"start": 1401.09, "end": 1401.25, "word": " ال", "probability": 0.978515625}, {"start": 1401.25, "end": 1401.59, "word": " series", "probability": 0.97119140625}, {"start": 1401.59, "end": 1402.55, "word": " الناتجة", "probability": 0.8900146484375}, {"start": 1402.55, "end": 1403.81, "word": " يفترض", "probability": 0.735870361328125}, {"start": 1403.81, "end": 1404.27, "word": " ان", "probability": 0.587890625}, {"start": 1404.27, "end": 1404.43, "word": " ال", "probability": 0.74951171875}, {"start": 1404.43, "end": 1404.67, "word": " F", "probability": 0.449951171875}, {"start": 1404.67, "end": 1404.89, "word": " of", "probability": 0.455810546875}, {"start": 1404.89, "end": 1405.13, "word": " X", "probability": 0.94970703125}, {"start": 1405.13, "end": 1405.87, "word": " مكتوبة", "probability": 0.9095703125}, {"start": 1405.87, "end": 1406.23, "word": " عندي", "probability": 0.7303466796875}, {"start": 1406.23, "end": 1406.55, "word": " على", "probability": 0.91650390625}, {"start": 1406.55, "end": 1407.11, "word": " شكل", "probability": 0.9814453125}, {"start": 1407.11, "end": 1407.79, "word": " summation", "probability": 0.80810546875}, {"start": 1407.79, "end": 1408.43, "word": " بهذا", "probability": 0.945556640625}, {"start": 1408.43, "end": 1408.93, "word": " الشكل", "probability": 0.99169921875}, {"start": 1408.93, "end": 1409.93, "word": " طبعا", "probability": 0.9315185546875}, {"start": 1409.93, "end": 1410.19, "word": " يمكن", "probability": 0.957763671875}, {"start": 1410.19, "end": 1411.23, "word": " تستغربوا", "probability": 0.9322265625}], "temperature": 1.0}, {"id": 58, "seek": 143384, "start": 1411.46, "end": 1433.84, "text": "ان ال function مكتوبة على شكل summation بهذا الشكل ولا استغرب ولا حاجة المحاضرة القادمة ان شاء الله يعني ال section القادم كله كيفية كتابة ال functions على شكل power series وهذه اللي بنسميها taylor series و maclaurin series", "tokens": [7649, 2423, 2445, 3714, 4117, 2655, 37746, 3660, 15844, 13412, 28820, 28811, 39627, 15730, 25124, 28820, 49429, 44713, 17082, 25513, 49429, 11331, 26108, 3660, 9673, 5016, 46958, 25720, 25062, 18513, 46007, 16472, 13412, 16606, 21984, 37495, 22653, 2423, 3541, 25062, 18513, 2304, 28242, 3224, 9122, 33911, 10632, 9122, 2655, 16758, 3660, 2423, 6828, 15844, 13412, 28820, 1347, 2638, 4032, 3224, 24192, 13672, 1829, 44945, 38251, 1829, 11296, 39224, 6746, 2638, 4032, 7912, 875, 374, 259, 2638], "avg_logprob": -0.23823052257686467, "compression_ratio": 1.693467336683417, "no_speech_prob": 0.0, "words": [{"start": 1411.46, "end": 1411.76, "word": "ان", "probability": 0.0677490234375}, {"start": 1411.76, "end": 1412.0, "word": " ال", "probability": 0.346923828125}, {"start": 1412.0, "end": 1412.58, "word": " function", "probability": 0.2403564453125}, {"start": 1412.58, "end": 1413.94, "word": " مكتوبة", "probability": 0.9126953125}, {"start": 1413.94, "end": 1414.14, "word": " على", "probability": 0.9296875}, {"start": 1414.14, "end": 1414.74, "word": " شكل", "probability": 0.956787109375}, {"start": 1414.74, "end": 1415.42, "word": " summation", "probability": 0.6552734375}, {"start": 1415.42, "end": 1415.94, "word": " بهذا", "probability": 0.87109375}, {"start": 1415.94, "end": 1416.38, "word": " الشكل", "probability": 0.98388671875}, {"start": 1416.38, "end": 1417.12, "word": " ولا", "probability": 0.7919921875}, {"start": 1417.12, "end": 1417.68, "word": " استغرب", "probability": 0.8170572916666666}, {"start": 1417.68, "end": 1417.86, "word": " ولا", "probability": 0.95654296875}, {"start": 1417.86, "end": 1418.36, "word": " حاجة", "probability": 0.978515625}, {"start": 1418.36, "end": 1419.16, "word": " المحاضرة", "probability": 0.9517822265625}, {"start": 1419.16, "end": 1420.18, "word": " القادمة", "probability": 0.9910481770833334}, {"start": 1420.18, "end": 1420.68, "word": " ان", "probability": 0.60205078125}, {"start": 1420.68, "end": 1421.04, "word": " شاء", "probability": 0.98095703125}, {"start": 1421.04, "end": 1421.16, "word": " الله", "probability": 0.9453125}, {"start": 1421.16, "end": 1421.48, "word": " يعني", "probability": 0.845703125}, {"start": 1421.48, "end": 1421.7, "word": " ال", "probability": 0.716796875}, {"start": 1421.7, "end": 1422.12, "word": " section", "probability": 0.89453125}, {"start": 1422.12, "end": 1423.04, "word": " القادم", "probability": 0.8341471354166666}, {"start": 1423.04, "end": 1423.96, "word": " كله", "probability": 0.8974609375}, {"start": 1423.96, "end": 1424.74, "word": " كيفية", "probability": 0.9710286458333334}, {"start": 1424.74, "end": 1425.52, "word": " كتابة", "probability": 0.9979248046875}, {"start": 1425.52, "end": 1425.72, "word": " ال", "probability": 0.98486328125}, {"start": 1425.72, "end": 1426.42, "word": " functions", "probability": 0.89404296875}, {"start": 1426.42, "end": 1426.86, "word": " على", "probability": 0.92529296875}, {"start": 1426.86, "end": 1427.52, "word": " شكل", "probability": 0.969970703125}, {"start": 1427.52, "end": 1428.46, "word": " power", "probability": 0.86962890625}, {"start": 1428.46, "end": 1429.2, "word": " series", "probability": 0.908203125}, {"start": 1429.2, "end": 1429.92, "word": " وهذه", "probability": 0.4612630208333333}, {"start": 1429.92, "end": 1430.0, "word": " اللي", "probability": 0.91552734375}, {"start": 1430.0, "end": 1430.78, "word": " بنسميها", "probability": 0.898681640625}, {"start": 1430.78, "end": 1431.34, "word": " taylor", "probability": 0.57684326171875}, {"start": 1431.34, "end": 1431.98, "word": " series", "probability": 0.84326171875}, {"start": 1431.98, "end": 1432.28, "word": " و", "probability": 0.966796875}, {"start": 1432.28, "end": 1433.22, "word": " maclaurin", "probability": 0.683258056640625}, {"start": 1433.22, "end": 1433.84, "word": " series", "probability": 0.88427734375}], "temperature": 1.0}, {"id": 59, "seek": 145923, "start": 1434.49, "end": 1459.23, "text": "يبقى افترض انه عنده function محطوط على شكل power series و هذي ت converge على نفس الفترة اللي عندنا هذي then summation على ال series هذي هذي شو بتفرق عن هذي سي ان مقدار ثابت زي ما هو يبقى aboveنا لل أس واحدة و قسمنا علمين على الأس الجديد يبقى كأنه اش عملنا لهذه", "tokens": [1829, 3555, 4587, 7578, 1975, 5172, 2655, 43042, 16472, 3224, 43242, 3224, 2445, 3714, 5016, 9566, 2407, 9566, 15844, 13412, 28820, 1347, 2638, 4032, 8032, 8848, 1829, 6055, 41881, 15844, 8717, 36178, 27188, 2655, 25720, 13672, 1829, 43242, 8315, 8032, 8848, 1829, 550, 28811, 15844, 2423, 2638, 8032, 8848, 1829, 8032, 8848, 1829, 13412, 2407, 39894, 5172, 2288, 4587, 18871, 8032, 8848, 1829, 8608, 1829, 16472, 3714, 28543, 9640, 38637, 16758, 2655, 30767, 1829, 19446, 31439, 7251, 3555, 4587, 7578, 3673, 8315, 24976, 5551, 3794, 36764, 24401, 3660, 4032, 12174, 38251, 8315, 11203, 2304, 9957, 15844, 16247, 3794, 25724, 16254, 3215, 7251, 3555, 4587, 7578, 9122, 33456, 3224, 1975, 8592, 6225, 42213, 8315, 46740, 24192], "avg_logprob": -0.27801724600380867, "compression_ratio": 1.71900826446281, "no_speech_prob": 0.0, "words": [{"start": 1434.49, "end": 1435.43, "word": "يبقى", "probability": 0.78216552734375}, {"start": 1435.43, "end": 1436.13, "word": " افترض", "probability": 0.746337890625}, {"start": 1436.13, "end": 1436.43, "word": " انه", "probability": 0.5615234375}, {"start": 1436.43, "end": 1436.75, "word": " عنده", "probability": 0.548828125}, {"start": 1436.75, "end": 1437.17, "word": " function", "probability": 0.732421875}, {"start": 1437.17, "end": 1437.75, "word": " محطوط", "probability": 0.8896484375}, {"start": 1437.75, "end": 1437.97, "word": " على", "probability": 0.8271484375}, {"start": 1437.97, "end": 1438.43, "word": " شكل", "probability": 0.981689453125}, {"start": 1438.43, "end": 1438.85, "word": " power", "probability": 0.81396484375}, {"start": 1438.85, "end": 1439.39, "word": " series", "probability": 0.884765625}, {"start": 1439.39, "end": 1439.57, "word": " و", "probability": 0.484375}, {"start": 1439.57, "end": 1439.81, "word": " هذي", "probability": 0.5725911458333334}, {"start": 1439.81, "end": 1439.87, "word": " ت", "probability": 0.446533203125}, {"start": 1439.87, "end": 1440.35, "word": " converge", "probability": 0.198974609375}, {"start": 1440.35, "end": 1440.61, "word": " على", "probability": 0.85986328125}, {"start": 1440.61, "end": 1440.89, "word": " نفس", "probability": 0.968994140625}, {"start": 1440.89, "end": 1441.45, "word": " الفترة", "probability": 0.9812825520833334}, {"start": 1441.45, "end": 1441.61, "word": " اللي", "probability": 0.80908203125}, {"start": 1441.61, "end": 1441.99, "word": " عندنا", "probability": 0.98291015625}, {"start": 1441.99, "end": 1442.49, "word": " هذي", "probability": 0.6717122395833334}, {"start": 1442.49, "end": 1443.43, "word": " then", "probability": 0.454833984375}, {"start": 1443.43, "end": 1444.87, "word": " summation", "probability": 0.77099609375}, {"start": 1444.87, "end": 1445.45, "word": " على", "probability": 0.802734375}, {"start": 1445.45, "end": 1445.63, "word": " ال", "probability": 0.62060546875}, {"start": 1445.63, "end": 1445.97, "word": " series", "probability": 0.947265625}, {"start": 1445.97, "end": 1446.31, "word": " هذي", "probability": 0.78515625}, {"start": 1446.31, "end": 1446.63, "word": " هذي", "probability": 0.787109375}, {"start": 1446.63, "end": 1446.81, "word": " شو", "probability": 0.917724609375}, {"start": 1446.81, "end": 1447.31, "word": " بتفرق", "probability": 0.80682373046875}, {"start": 1447.31, "end": 1447.51, "word": " عن", "probability": 0.966796875}, {"start": 1447.51, "end": 1447.95, "word": " هذي", "probability": 0.8883463541666666}, {"start": 1447.95, "end": 1448.71, "word": " سي", "probability": 0.395416259765625}, {"start": 1448.71, "end": 1448.97, "word": " ان", "probability": 0.658203125}, {"start": 1448.97, "end": 1449.47, "word": " مقدار", "probability": 0.9544270833333334}, {"start": 1449.47, "end": 1449.91, "word": " ثابت", "probability": 0.974609375}, {"start": 1449.91, "end": 1450.23, "word": " زي", "probability": 0.980224609375}, {"start": 1450.23, "end": 1450.37, "word": " ما", "probability": 0.90380859375}, {"start": 1450.37, "end": 1450.63, "word": " هو", "probability": 0.982421875}, {"start": 1450.63, "end": 1451.33, "word": " يبقى", "probability": 0.9600830078125}, {"start": 1451.33, "end": 1451.99, "word": " aboveنا", "probability": 0.62353515625}, {"start": 1451.99, "end": 1452.27, "word": " لل", "probability": 0.8310546875}, {"start": 1452.27, "end": 1452.67, "word": " أس", "probability": 0.6236572265625}, {"start": 1452.67, "end": 1453.17, "word": " واحدة", "probability": 0.7976888020833334}, {"start": 1453.17, "end": 1453.25, "word": " و", "probability": 0.98681640625}, {"start": 1453.25, "end": 1453.97, "word": " قسمنا", "probability": 0.8761393229166666}, {"start": 1453.97, "end": 1454.67, "word": " علمين", "probability": 0.5594075520833334}, {"start": 1454.67, "end": 1455.37, "word": " على", "probability": 0.7548828125}, {"start": 1455.37, "end": 1455.93, "word": " الأس", "probability": 0.913330078125}, {"start": 1455.93, "end": 1457.09, "word": " الجديد", "probability": 0.9801432291666666}, {"start": 1457.09, "end": 1457.69, "word": " يبقى", "probability": 0.986083984375}, {"start": 1457.69, "end": 1458.07, "word": " كأنه", "probability": 0.8146158854166666}, {"start": 1458.07, "end": 1458.17, "word": " اش", "probability": 0.654296875}, {"start": 1458.17, "end": 1458.57, "word": " عملنا", "probability": 0.8680013020833334}, {"start": 1458.57, "end": 1459.23, "word": " لهذه", "probability": 0.900390625}], "temperature": 1.0}, {"id": 60, "seek": 147977, "start": 1459.57, "end": 1479.77, "text": "عاملنا لها تكامل كأنه كاملناها يبقى ال series هذي converge على نفس الفترة وبالتالي تكامل لل f of x dx يسوى النتيجة اللي عندنا هذي بالضبط تماما زاد man زاد constant وعلى نفس ال interval اللي عندنا", "tokens": [3615, 10943, 1211, 8315, 5296, 11296, 6055, 4117, 10943, 1211, 9122, 33456, 3224, 9122, 10943, 1211, 8315, 11296, 7251, 3555, 4587, 7578, 2423, 2638, 8032, 8848, 1829, 41881, 15844, 8717, 36178, 27188, 2655, 25720, 46599, 6027, 2655, 6027, 1829, 6055, 4117, 10943, 1211, 24976, 283, 295, 2031, 30017, 7251, 3794, 2407, 7578, 28239, 31371, 7435, 3660, 13672, 1829, 43242, 8315, 8032, 8848, 1829, 20666, 11242, 3555, 9566, 46811, 10943, 995, 30767, 18513, 587, 30767, 18513, 5754, 4032, 3615, 23942, 8717, 36178, 2423, 15035, 13672, 1829, 43242, 8315], "avg_logprob": -0.216974426060915, "compression_ratio": 1.7027027027027026, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1459.57, "end": 1460.35, "word": "عاملنا", "probability": 0.5827484130859375}, {"start": 1460.35, "end": 1460.57, "word": " لها", "probability": 0.856201171875}, {"start": 1460.57, "end": 1461.53, "word": " تكامل", "probability": 0.9803466796875}, {"start": 1461.53, "end": 1462.05, "word": " كأنه", "probability": 0.7185872395833334}, {"start": 1462.05, "end": 1462.97, "word": " كاملناها", "probability": 0.91484375}, {"start": 1462.97, "end": 1463.73, "word": " يبقى", "probability": 0.9232177734375}, {"start": 1463.73, "end": 1463.89, "word": " ال", "probability": 0.7451171875}, {"start": 1463.89, "end": 1464.19, "word": " series", "probability": 0.76025390625}, {"start": 1464.19, "end": 1464.57, "word": " هذي", "probability": 0.6622721354166666}, {"start": 1464.57, "end": 1465.21, "word": " converge", "probability": 0.4033203125}, {"start": 1465.21, "end": 1465.55, "word": " على", "probability": 0.87158203125}, {"start": 1465.55, "end": 1466.01, "word": " نفس", "probability": 0.99462890625}, {"start": 1466.01, "end": 1467.09, "word": " الفترة", "probability": 0.9775390625}, {"start": 1467.09, "end": 1468.23, "word": " وبالتالي", "probability": 0.91474609375}, {"start": 1468.23, "end": 1469.21, "word": " تكامل", "probability": 0.974853515625}, {"start": 1469.21, "end": 1469.45, "word": " لل", "probability": 0.6455078125}, {"start": 1469.45, "end": 1469.79, "word": " f", "probability": 0.2978515625}, {"start": 1469.79, "end": 1470.05, "word": " of", "probability": 0.5419921875}, {"start": 1470.05, "end": 1470.33, "word": " x", "probability": 0.9091796875}, {"start": 1470.33, "end": 1470.91, "word": " dx", "probability": 0.78564453125}, {"start": 1470.91, "end": 1471.77, "word": " يسوى", "probability": 0.8289794921875}, {"start": 1471.77, "end": 1472.35, "word": " النتيجة", "probability": 0.9215087890625}, {"start": 1472.35, "end": 1472.55, "word": " اللي", "probability": 0.864990234375}, {"start": 1472.55, "end": 1472.77, "word": " عندنا", "probability": 0.84228515625}, {"start": 1472.77, "end": 1473.05, "word": " هذي", "probability": 0.6818033854166666}, {"start": 1473.05, "end": 1473.59, "word": " بالضبط", "probability": 0.968994140625}, {"start": 1473.59, "end": 1474.13, "word": " تماما", "probability": 0.9425455729166666}, {"start": 1474.13, "end": 1474.49, "word": " زاد", "probability": 0.617919921875}, {"start": 1474.49, "end": 1474.89, "word": " man", "probability": 0.62353515625}, {"start": 1474.89, "end": 1475.83, "word": " زاد", "probability": 0.887939453125}, {"start": 1475.83, "end": 1476.41, "word": " constant", "probability": 0.406005859375}, {"start": 1476.41, "end": 1477.17, "word": " وعلى", "probability": 0.8681640625}, {"start": 1477.17, "end": 1477.57, "word": " نفس", "probability": 0.99462890625}, {"start": 1477.57, "end": 1477.79, "word": " ال", "probability": 0.982421875}, {"start": 1477.79, "end": 1478.53, "word": " interval", "probability": 0.90625}, {"start": 1478.53, "end": 1479.35, "word": " اللي", "probability": 0.97607421875}, {"start": 1479.35, "end": 1479.77, "word": " عندنا", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 61, "seek": 149744, "start": 1482.06, "end": 1497.44, "text": "بناخد أمثلة على ال differentiation term by term و ال integration term by term سواء جلي او مجليش يعني مجليش استخدم ال differentiation او استخدم ال integration او اطالي مثلا و بده حلة", "tokens": [3555, 1863, 47283, 3215, 5551, 2304, 12984, 37977, 15844, 2423, 38902, 1433, 538, 1433, 4032, 2423, 10980, 1433, 538, 1433, 8608, 2407, 16606, 10874, 20292, 1975, 2407, 3714, 7435, 20292, 8592, 37495, 22653, 3714, 7435, 20292, 8592, 44713, 9778, 40448, 2423, 38902, 1975, 2407, 44713, 9778, 40448, 2423, 10980, 1975, 2407, 1975, 9566, 6027, 1829, 50113, 15040, 4032, 47525, 3224, 11331, 1211, 3660], "avg_logprob": -0.3242187453433871, "compression_ratio": 1.7315436241610738, "no_speech_prob": 0.0, "words": [{"start": 1482.0600000000002, "end": 1482.8600000000001, "word": "بناخد", "probability": 0.56134033203125}, {"start": 1482.8600000000001, "end": 1483.66, "word": " أمثلة", "probability": 0.8671875}, {"start": 1483.66, "end": 1484.18, "word": " على", "probability": 0.6435546875}, {"start": 1484.18, "end": 1484.58, "word": " ال", "probability": 0.68115234375}, {"start": 1484.58, "end": 1485.34, "word": " differentiation", "probability": 0.76611328125}, {"start": 1485.34, "end": 1485.8, "word": " term", "probability": 0.88427734375}, {"start": 1485.8, "end": 1486.04, "word": " by", "probability": 0.93603515625}, {"start": 1486.04, "end": 1486.32, "word": " term", "probability": 0.96826171875}, {"start": 1486.32, "end": 1486.56, "word": " و", "probability": 0.5205078125}, {"start": 1486.56, "end": 1486.72, "word": " ال", "probability": 0.8232421875}, {"start": 1486.72, "end": 1487.42, "word": " integration", "probability": 0.953125}, {"start": 1487.42, "end": 1488.36, "word": " term", "probability": 0.966796875}, {"start": 1488.36, "end": 1488.64, "word": " by", "probability": 0.9765625}, {"start": 1488.64, "end": 1488.8, "word": " term", "probability": 0.9755859375}, {"start": 1488.8, "end": 1489.28, "word": " سواء", "probability": 0.8595377604166666}, {"start": 1489.28, "end": 1489.84, "word": " جلي", "probability": 0.37933349609375}, {"start": 1489.84, "end": 1490.1, "word": " او", "probability": 0.677490234375}, {"start": 1490.1, "end": 1490.96, "word": " مجليش", "probability": 0.824462890625}, {"start": 1490.96, "end": 1492.42, "word": " يعني", "probability": 0.5714111328125}, {"start": 1492.42, "end": 1492.78, "word": " مجليش", "probability": 0.8516845703125}, {"start": 1492.78, "end": 1493.26, "word": " استخدم", "probability": 0.90380859375}, {"start": 1493.26, "end": 1493.4, "word": " ال", "probability": 0.9375}, {"start": 1493.4, "end": 1493.9, "word": " differentiation", "probability": 0.9609375}, {"start": 1493.9, "end": 1494.3, "word": " او", "probability": 0.850341796875}, {"start": 1494.3, "end": 1494.62, "word": " استخدم", "probability": 0.8082682291666666}, {"start": 1494.62, "end": 1494.74, "word": " ال", "probability": 0.9599609375}, {"start": 1494.74, "end": 1495.32, "word": " integration", "probability": 0.9765625}, {"start": 1495.32, "end": 1495.98, "word": " او", "probability": 0.712646484375}, {"start": 1495.98, "end": 1496.26, "word": " اطالي", "probability": 0.65460205078125}, {"start": 1496.26, "end": 1496.62, "word": " مثلا", "probability": 0.853759765625}, {"start": 1496.62, "end": 1496.74, "word": " و", "probability": 0.57568359375}, {"start": 1496.74, "end": 1497.04, "word": " بده", "probability": 0.523681640625}, {"start": 1497.04, "end": 1497.44, "word": " حلة", "probability": 0.8709309895833334}], "temperature": 1.0}, {"id": 62, "seek": 151385, "start": 1497.89, "end": 1513.85, "text": "بقول هنا اعتبر الدالة EO6 مكتوبة على شكل ال summation اللى عندنا هذا او ال summation الطويل اللى عندنا هذا بقول كويسه اللى بتبقى converge على كل ال real line بالاستثناء يعني ال interval of convergence", "tokens": [3555, 39648, 34105, 1975, 34268, 26890, 32748, 6027, 3660, 462, 46, 21, 3714, 4117, 2655, 37746, 3660, 15844, 13412, 28820, 2423, 28811, 13672, 7578, 43242, 8315, 23758, 1975, 2407, 2423, 28811, 41950, 2407, 26895, 13672, 7578, 43242, 8315, 23758, 4724, 39648, 9122, 45865, 3794, 3224, 13672, 7578, 39894, 3555, 4587, 7578, 41881, 15844, 28242, 2423, 957, 1622, 20666, 995, 14851, 12984, 1863, 16606, 37495, 22653, 2423, 15035, 295, 32181], "avg_logprob": -0.23526785245963505, "compression_ratio": 1.6775956284153006, "no_speech_prob": 0.0, "words": [{"start": 1497.89, "end": 1498.41, "word": "بقول", "probability": 0.4102783203125}, {"start": 1498.41, "end": 1498.89, "word": " هنا", "probability": 0.9140625}, {"start": 1498.89, "end": 1499.73, "word": " اعتبر", "probability": 0.8948567708333334}, {"start": 1499.73, "end": 1500.31, "word": " الدالة", "probability": 0.8986002604166666}, {"start": 1500.31, "end": 1500.95, "word": " EO6", "probability": 0.7137858072916666}, {"start": 1500.95, "end": 1501.59, "word": " مكتوبة", "probability": 0.94423828125}, {"start": 1501.59, "end": 1501.73, "word": " على", "probability": 0.92822265625}, {"start": 1501.73, "end": 1502.13, "word": " شكل", "probability": 0.9462890625}, {"start": 1502.13, "end": 1502.31, "word": " ال", "probability": 0.66064453125}, {"start": 1502.31, "end": 1502.83, "word": " summation", "probability": 0.17626953125}, {"start": 1502.83, "end": 1503.15, "word": " اللى", "probability": 0.5474853515625}, {"start": 1503.15, "end": 1503.53, "word": " عندنا", "probability": 0.97216796875}, {"start": 1503.53, "end": 1503.87, "word": " هذا", "probability": 0.84521484375}, {"start": 1503.87, "end": 1504.57, "word": " او", "probability": 0.834716796875}, {"start": 1504.57, "end": 1504.69, "word": " ال", "probability": 0.77978515625}, {"start": 1504.69, "end": 1505.15, "word": " summation", "probability": 0.9638671875}, {"start": 1505.15, "end": 1506.01, "word": " الطويل", "probability": 0.9542643229166666}, {"start": 1506.01, "end": 1506.41, "word": " اللى", "probability": 0.965087890625}, {"start": 1506.41, "end": 1506.73, "word": " عندنا", "probability": 0.9794921875}, {"start": 1506.73, "end": 1507.05, "word": " هذا", "probability": 0.95703125}, {"start": 1507.05, "end": 1507.77, "word": " بقول", "probability": 0.87353515625}, {"start": 1507.77, "end": 1508.31, "word": " كويسه", "probability": 0.6875}, {"start": 1508.31, "end": 1508.45, "word": " اللى", "probability": 0.828125}, {"start": 1508.45, "end": 1508.85, "word": " بتبقى", "probability": 0.9102783203125}, {"start": 1508.85, "end": 1509.33, "word": " converge", "probability": 0.55029296875}, {"start": 1509.33, "end": 1509.57, "word": " على", "probability": 0.67431640625}, {"start": 1509.57, "end": 1509.97, "word": " كل", "probability": 0.9794921875}, {"start": 1509.97, "end": 1510.17, "word": " ال", "probability": 0.83154296875}, {"start": 1510.17, "end": 1510.43, "word": " real", "probability": 0.87841796875}, {"start": 1510.43, "end": 1510.91, "word": " line", "probability": 0.94189453125}, {"start": 1510.91, "end": 1511.71, "word": " بالاستثناء", "probability": 0.8473714192708334}, {"start": 1511.71, "end": 1511.99, "word": " يعني", "probability": 0.64599609375}, {"start": 1511.99, "end": 1512.09, "word": " ال", "probability": 0.9189453125}, {"start": 1512.09, "end": 1512.61, "word": " interval", "probability": 0.87255859375}, {"start": 1512.61, "end": 1513.07, "word": " of", "probability": 0.9619140625}, {"start": 1513.07, "end": 1513.85, "word": " convergence", "probability": 0.966796875}], "temperature": 1.0}, {"id": 63, "seek": 153443, "start": 1514.31, "end": 1534.43, "text": "من سالب infinity إلى infinity واحنا شوفنا في ال power series ممكن تكون ال series converge على كل ال real line بلا ستة نار المطلوب الأول بيقول إن مشتقة ال EO6 هي ال EO6 itself طب هذا خدناه أين؟", "tokens": [27842, 8608, 6027, 3555, 13202, 30731, 13202, 4032, 39319, 8315, 13412, 38688, 8315, 8978, 2423, 1347, 2638, 3714, 43020, 6055, 30544, 2423, 2638, 41881, 15844, 28242, 2423, 957, 1622, 4724, 15040, 8608, 2655, 3660, 8717, 9640, 9673, 9566, 1211, 37746, 16247, 12610, 4724, 1829, 39648, 36145, 37893, 2655, 28671, 2423, 462, 46, 21, 39896, 2423, 462, 46, 21, 2564, 23032, 3555, 23758, 16490, 3215, 8315, 3224, 5551, 9957, 22807], "avg_logprob": -0.31629464456013273, "compression_ratio": 1.4393939393939394, "no_speech_prob": 0.0, "words": [{"start": 1514.31, "end": 1514.57, "word": "من", "probability": 0.61767578125}, {"start": 1514.57, "end": 1515.07, "word": " سالب", "probability": 0.54541015625}, {"start": 1515.07, "end": 1515.73, "word": " infinity", "probability": 0.57470703125}, {"start": 1515.73, "end": 1516.29, "word": " إلى", "probability": 0.708984375}, {"start": 1516.29, "end": 1517.63, "word": " infinity", "probability": 0.6494140625}, {"start": 1517.63, "end": 1518.47, "word": " واحنا", "probability": 0.65576171875}, {"start": 1518.47, "end": 1518.85, "word": " شوفنا", "probability": 0.8489583333333334}, {"start": 1518.85, "end": 1518.99, "word": " في", "probability": 0.853515625}, {"start": 1518.99, "end": 1519.11, "word": " ال", "probability": 0.93603515625}, {"start": 1519.11, "end": 1519.37, "word": " power", "probability": 0.85986328125}, {"start": 1519.37, "end": 1519.77, "word": " series", "probability": 0.904296875}, {"start": 1519.77, "end": 1520.41, "word": " ممكن", "probability": 0.958740234375}, {"start": 1520.41, "end": 1520.83, "word": " تكون", "probability": 0.9892578125}, {"start": 1520.83, "end": 1521.01, "word": " ال", "probability": 0.94091796875}, {"start": 1521.01, "end": 1521.43, "word": " series", "probability": 0.900390625}, {"start": 1521.43, "end": 1522.37, "word": " converge", "probability": 0.344970703125}, {"start": 1522.37, "end": 1522.61, "word": " على", "probability": 0.82568359375}, {"start": 1522.61, "end": 1523.03, "word": " كل", "probability": 0.9775390625}, {"start": 1523.03, "end": 1523.25, "word": " ال", "probability": 0.90185546875}, {"start": 1523.25, "end": 1523.51, "word": " real", "probability": 0.9599609375}, {"start": 1523.51, "end": 1524.11, "word": " line", "probability": 0.95458984375}, {"start": 1524.11, "end": 1524.83, "word": " بلا", "probability": 0.772216796875}, {"start": 1524.83, "end": 1525.39, "word": " ستة", "probability": 0.7198079427083334}, {"start": 1525.39, "end": 1525.75, "word": " نار", "probability": 0.48138427734375}, {"start": 1525.75, "end": 1526.81, "word": " المطلوب", "probability": 0.8651123046875}, {"start": 1526.81, "end": 1527.23, "word": " الأول", "probability": 0.930908203125}, {"start": 1527.23, "end": 1527.63, "word": " بيقول", "probability": 0.6571451822916666}, {"start": 1527.63, "end": 1527.85, "word": " إن", "probability": 0.283935546875}, {"start": 1527.85, "end": 1528.63, "word": " مشتقة", "probability": 0.9210611979166666}, {"start": 1528.63, "end": 1528.89, "word": " ال", "probability": 0.9658203125}, {"start": 1528.89, "end": 1529.67, "word": " EO6", "probability": 0.7210286458333334}, {"start": 1529.67, "end": 1530.13, "word": " هي", "probability": 0.9365234375}, {"start": 1530.13, "end": 1530.75, "word": " ال", "probability": 0.8974609375}, {"start": 1530.75, "end": 1531.55, "word": " EO6", "probability": 0.92919921875}, {"start": 1531.55, "end": 1532.39, "word": " itself", "probability": 0.5673828125}, {"start": 1532.39, "end": 1533.19, "word": " طب", "probability": 0.82568359375}, {"start": 1533.19, "end": 1533.39, "word": " هذا", "probability": 0.454345703125}, {"start": 1533.39, "end": 1533.95, "word": " خدناه", "probability": 0.7017822265625}, {"start": 1533.95, "end": 1534.43, "word": " أين؟", "probability": 0.715087890625}], "temperature": 1.0}, {"id": 64, "seek": 156398, "start": 1542.9, "end": 1563.98, "text": "أثبتنا إن مشتقة الـ EO6 هي الـ EO6 بس عن طريق الـ LEN هنا لأ بدك تثبت عن طريق الـ Power Series اتنين بدك تثبت تكمل الـ EO6 هو بالـ EO6 itself زاد كنصة برضه باستخدام من الـ Power Series نقوله كويس خلينا نمسك الأولى", "tokens": [10721, 12984, 3555, 2655, 8315, 36145, 37893, 2655, 28671, 2423, 39184, 462, 46, 21, 39896, 2423, 39184, 462, 46, 21, 4724, 3794, 18871, 23032, 16572, 4587, 2423, 39184, 441, 2195, 34105, 5296, 10721, 47525, 4117, 6055, 12984, 3555, 2655, 18871, 23032, 16572, 4587, 2423, 39184, 7086, 13934, 1975, 2655, 1863, 9957, 47525, 4117, 6055, 12984, 3555, 2655, 6055, 24793, 1211, 2423, 39184, 462, 46, 21, 31439, 20666, 39184, 462, 46, 21, 2564, 30767, 18513, 9122, 1863, 9381, 3660, 4724, 43042, 3224, 4724, 995, 14851, 9778, 3215, 10943, 9154, 2423, 39184, 7086, 13934, 8717, 39648, 3224, 9122, 45865, 3794, 16490, 20292, 8315, 8717, 2304, 3794, 4117, 16247, 12610, 7578], "avg_logprob": -0.3190940301352685, "compression_ratio": 1.7474226804123711, "no_speech_prob": 0.0, "words": [{"start": 1542.8999999999999, "end": 1543.78, "word": "أثبتنا", "probability": 0.663397216796875}, {"start": 1543.78, "end": 1543.9, "word": " إن", "probability": 0.20263671875}, {"start": 1543.9, "end": 1544.42, "word": " مشتقة", "probability": 0.619873046875}, {"start": 1544.42, "end": 1544.58, "word": " الـ", "probability": 0.5989990234375}, {"start": 1544.58, "end": 1544.96, "word": " EO6", "probability": 0.5909016927083334}, {"start": 1544.96, "end": 1545.16, "word": " هي", "probability": 0.7275390625}, {"start": 1545.16, "end": 1545.3, "word": " الـ", "probability": 0.711669921875}, {"start": 1545.3, "end": 1545.58, "word": " EO6", "probability": 0.9099934895833334}, {"start": 1545.58, "end": 1545.82, "word": " بس", "probability": 0.769287109375}, {"start": 1545.82, "end": 1546.02, "word": " عن", "probability": 0.7880859375}, {"start": 1546.02, "end": 1546.34, "word": " طريق", "probability": 0.9928385416666666}, {"start": 1546.34, "end": 1546.64, "word": " الـ", "probability": 0.80517578125}, {"start": 1546.64, "end": 1546.86, "word": " LEN", "probability": 0.3184814453125}, {"start": 1546.86, "end": 1547.52, "word": " هنا", "probability": 0.697265625}, {"start": 1547.52, "end": 1547.96, "word": " لأ", "probability": 0.5731201171875}, {"start": 1547.96, "end": 1548.22, "word": " بدك", "probability": 0.71142578125}, {"start": 1548.22, "end": 1548.66, "word": " تثبت", "probability": 0.9693603515625}, {"start": 1548.66, "end": 1548.88, "word": " عن", "probability": 0.9697265625}, {"start": 1548.88, "end": 1549.4, "word": " طريق", "probability": 0.9951171875}, {"start": 1549.4, "end": 1549.7, "word": " الـ", "probability": 0.88818359375}, {"start": 1549.7, "end": 1549.94, "word": " Power", "probability": 0.58740234375}, {"start": 1549.94, "end": 1550.6, "word": " Series", "probability": 0.89453125}, {"start": 1550.6, "end": 1551.24, "word": " اتنين", "probability": 0.633544921875}, {"start": 1551.24, "end": 1552.0, "word": " بدك", "probability": 0.889892578125}, {"start": 1552.0, "end": 1552.36, "word": " تثبت", "probability": 0.9755859375}, {"start": 1552.36, "end": 1552.88, "word": " تكمل", "probability": 0.8971354166666666}, {"start": 1552.88, "end": 1553.02, "word": " الـ", "probability": 0.95263671875}, {"start": 1553.02, "end": 1553.62, "word": " EO6", "probability": 0.9456380208333334}, {"start": 1553.62, "end": 1553.86, "word": " هو", "probability": 0.81396484375}, {"start": 1553.86, "end": 1554.16, "word": " بالـ", "probability": 0.84228515625}, {"start": 1554.16, "end": 1554.82, "word": " EO6", "probability": 0.89453125}, {"start": 1554.82, "end": 1555.44, "word": " itself", "probability": 0.24951171875}, {"start": 1555.44, "end": 1556.18, "word": " زاد", "probability": 0.67822265625}, {"start": 1556.18, "end": 1557.1, "word": " كنصة", "probability": 0.44390869140625}, {"start": 1557.1, "end": 1557.68, "word": " برضه", "probability": 0.9671223958333334}, {"start": 1557.68, "end": 1558.36, "word": " باستخدام", "probability": 0.9466959635416666}, {"start": 1558.36, "end": 1558.72, "word": " من", "probability": 0.29052734375}, {"start": 1558.72, "end": 1559.36, "word": " الـ", "probability": 0.814208984375}, {"start": 1559.36, "end": 1559.78, "word": " Power", "probability": 0.74951171875}, {"start": 1559.78, "end": 1560.54, "word": " Series", "probability": 0.94384765625}, {"start": 1560.54, "end": 1561.48, "word": " نقوله", "probability": 0.4903157552083333}, {"start": 1561.48, "end": 1561.82, "word": " كويس", "probability": 0.9763997395833334}, {"start": 1561.82, "end": 1562.28, "word": " خلينا", "probability": 0.712890625}, {"start": 1562.28, "end": 1562.92, "word": " نمسك", "probability": 0.996337890625}, {"start": 1562.92, "end": 1563.98, "word": " الأولى", "probability": 0.9244791666666666}], "temperature": 1.0}, {"id": 65, "seek": 158432, "start": 1564.16, "end": 1584.32, "text": "يبقى بداش اقوله D على D لل E وال6 يساوي، بدى اشتق معناته هذه، يعني بدى اشتق كل الحدود اللي عندنا، مشتقة الواحد بقداش؟ Par هذا، مشتقة ال X بواحد؟", "tokens": [1829, 3555, 4587, 7578, 47525, 33599, 1975, 39648, 3224, 413, 15844, 413, 24976, 462, 16070, 21, 7251, 3794, 995, 45865, 12399, 47525, 7578, 1975, 8592, 2655, 4587, 20449, 8315, 47395, 29538, 12399, 37495, 22653, 47525, 7578, 1975, 8592, 2655, 4587, 28242, 21542, 3215, 23328, 13672, 1829, 43242, 8315, 12399, 37893, 2655, 28671, 2423, 14407, 24401, 4724, 28543, 33599, 22807, 3457, 23758, 12399, 37893, 2655, 28671, 2423, 1783, 4724, 14407, 24401, 22807], "avg_logprob": -0.23893228669961294, "compression_ratio": 1.6622516556291391, "no_speech_prob": 0.0, "words": [{"start": 1564.16, "end": 1565.12, "word": "يبقى", "probability": 0.84185791015625}, {"start": 1565.12, "end": 1565.84, "word": " بداش", "probability": 0.3909912109375}, {"start": 1565.84, "end": 1566.74, "word": " اقوله", "probability": 0.7727864583333334}, {"start": 1566.74, "end": 1567.22, "word": " D", "probability": 0.51806640625}, {"start": 1567.22, "end": 1568.12, "word": " على", "probability": 0.794921875}, {"start": 1568.12, "end": 1568.78, "word": " D", "probability": 0.96484375}, {"start": 1568.78, "end": 1569.38, "word": " لل", "probability": 0.8857421875}, {"start": 1569.38, "end": 1569.7, "word": " E", "probability": 0.611328125}, {"start": 1569.7, "end": 1570.36, "word": " وال6", "probability": 0.41943359375}, {"start": 1570.36, "end": 1571.64, "word": " يساوي،", "probability": 0.83056640625}, {"start": 1571.64, "end": 1572.64, "word": " بدى", "probability": 0.656005859375}, {"start": 1572.64, "end": 1573.08, "word": " اشتق", "probability": 0.8992919921875}, {"start": 1573.08, "end": 1573.66, "word": " معناته", "probability": 0.95751953125}, {"start": 1573.66, "end": 1574.3, "word": " هذه،", "probability": 0.73388671875}, {"start": 1574.3, "end": 1574.5, "word": " يعني", "probability": 0.921630859375}, {"start": 1574.5, "end": 1574.84, "word": " بدى", "probability": 0.873779296875}, {"start": 1574.84, "end": 1575.3, "word": " اشتق", "probability": 0.9481201171875}, {"start": 1575.3, "end": 1575.94, "word": " كل", "probability": 0.994140625}, {"start": 1575.94, "end": 1576.88, "word": " الحدود", "probability": 0.9866536458333334}, {"start": 1576.88, "end": 1577.08, "word": " اللي", "probability": 0.83154296875}, {"start": 1577.08, "end": 1578.12, "word": " عندنا،", "probability": 0.7939453125}, {"start": 1578.12, "end": 1578.7, "word": " مشتقة", "probability": 0.9431966145833334}, {"start": 1578.7, "end": 1579.14, "word": " الواحد", "probability": 0.8683268229166666}, {"start": 1579.14, "end": 1580.68, "word": " بقداش؟", "probability": 0.73822021484375}, {"start": 1580.68, "end": 1581.0, "word": " Par", "probability": 0.2269287109375}, {"start": 1581.0, "end": 1581.74, "word": " هذا،", "probability": 0.8662109375}, {"start": 1581.74, "end": 1582.32, "word": " مشتقة", "probability": 0.9737955729166666}, {"start": 1582.32, "end": 1582.54, "word": " ال", "probability": 0.978515625}, {"start": 1582.54, "end": 1583.0, "word": " X", "probability": 0.90234375}, {"start": 1583.0, "end": 1584.32, "word": " بواحد؟", "probability": 0.9051513671875}], "temperature": 1.0}, {"id": 66, "seek": 160666, "start": 1584.98, "end": 1606.66, "text": "اللي بعده 2x على 2 factorial زائد 2x على 2 factorial زائد 3x تربيع على 3 factorial زائد n x أُس n ناقص واحد على n factorial زائد إلى آخرهم", "tokens": [6027, 20292, 39182, 3224, 568, 87, 15844, 568, 36916, 30767, 16373, 3215, 568, 87, 15844, 568, 36916, 30767, 16373, 3215, 805, 87, 6055, 2288, 21292, 3615, 15844, 805, 36916, 30767, 16373, 3215, 297, 2031, 5551, 10859, 3794, 297, 8717, 995, 4587, 9381, 36764, 24401, 15844, 297, 36916, 30767, 16373, 3215, 30731, 19753, 34740, 16095], "avg_logprob": -0.1901988695968281, "compression_ratio": 1.6363636363636365, "no_speech_prob": 0.0, "words": [{"start": 1584.98, "end": 1585.38, "word": "اللي", "probability": 0.64111328125}, {"start": 1585.38, "end": 1585.92, "word": " بعده", "probability": 0.857421875}, {"start": 1585.92, "end": 1587.3, "word": " 2x", "probability": 0.62353515625}, {"start": 1587.3, "end": 1587.56, "word": " على", "probability": 0.374267578125}, {"start": 1587.56, "end": 1587.96, "word": " 2", "probability": 0.9794921875}, {"start": 1587.96, "end": 1588.84, "word": " factorial", "probability": 0.73388671875}, {"start": 1588.84, "end": 1590.24, "word": " زائد", "probability": 0.73876953125}, {"start": 1590.24, "end": 1591.6, "word": " 2x", "probability": 0.94921875}, {"start": 1591.6, "end": 1592.2, "word": " على", "probability": 0.810546875}, {"start": 1592.2, "end": 1592.68, "word": " 2", "probability": 0.98876953125}, {"start": 1592.68, "end": 1593.64, "word": " factorial", "probability": 0.9169921875}, {"start": 1593.64, "end": 1594.66, "word": " زائد", "probability": 0.9514973958333334}, {"start": 1594.66, "end": 1595.5, "word": " 3x", "probability": 0.9130859375}, {"start": 1595.5, "end": 1596.2, "word": " تربيع", "probability": 0.7569580078125}, {"start": 1596.2, "end": 1596.86, "word": " على", "probability": 0.88134765625}, {"start": 1596.86, "end": 1597.38, "word": " 3", "probability": 0.9443359375}, {"start": 1597.38, "end": 1598.38, "word": " factorial", "probability": 0.87548828125}, {"start": 1598.38, "end": 1599.64, "word": " زائد", "probability": 0.9794921875}, {"start": 1599.64, "end": 1600.16, "word": " n", "probability": 0.61474609375}, {"start": 1600.16, "end": 1600.8, "word": " x", "probability": 0.74609375}, {"start": 1600.8, "end": 1601.26, "word": " أُس", "probability": 0.6751302083333334}, {"start": 1601.26, "end": 1601.6, "word": " n", "probability": 0.91845703125}, {"start": 1601.6, "end": 1602.28, "word": " ناقص", "probability": 0.9674072265625}, {"start": 1602.28, "end": 1602.86, "word": " واحد", "probability": 0.852294921875}, {"start": 1602.86, "end": 1603.58, "word": " على", "probability": 0.8798828125}, {"start": 1603.58, "end": 1603.94, "word": " n", "probability": 0.9619140625}, {"start": 1603.94, "end": 1604.76, "word": " factorial", "probability": 0.880859375}, {"start": 1604.76, "end": 1605.58, "word": " زائد", "probability": 0.9886067708333334}, {"start": 1605.58, "end": 1605.92, "word": " إلى", "probability": 0.67138671875}, {"start": 1605.92, "end": 1606.66, "word": " آخرهم", "probability": 0.8751627604166666}], "temperature": 1.0}, {"id": 67, "seek": 163298, "start": 1607.56, "end": 1632.98, "text": "طيب تمام يبقى صار عندي D على DX لل EO6 يساوي واحد زائر هذه لو فكيتها عبارة عن اتنين في اتنين في واحد factorial هذه تلاتة في اتنين factorial هذه N في N ناقص واحد factorial", "tokens": [9566, 1829, 3555, 46811, 10943, 7251, 3555, 4587, 7578, 20328, 9640, 18871, 16254, 413, 15844, 48817, 24976, 462, 46, 21, 7251, 3794, 995, 45865, 36764, 24401, 30767, 16373, 2288, 29538, 45164, 6156, 4117, 36081, 11296, 6225, 3555, 9640, 3660, 18871, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 8978, 36764, 24401, 36916, 29538, 6055, 1211, 9307, 3660, 8978, 1975, 2655, 1863, 9957, 36916, 29538, 426, 8978, 426, 8717, 995, 4587, 9381, 36764, 24401, 36916], "avg_logprob": -0.21484375098033956, "compression_ratio": 1.6981132075471699, "no_speech_prob": 0.0, "words": [{"start": 1607.56, "end": 1608.06, "word": "طيب", "probability": 0.7596842447916666}, {"start": 1608.06, "end": 1608.6, "word": " تمام", "probability": 0.97021484375}, {"start": 1608.6, "end": 1609.04, "word": " يبقى", "probability": 0.9381103515625}, {"start": 1609.04, "end": 1609.62, "word": " صار", "probability": 0.6885986328125}, {"start": 1609.62, "end": 1610.32, "word": " عندي", "probability": 0.8046875}, {"start": 1610.32, "end": 1611.28, "word": " D", "probability": 0.4462890625}, {"start": 1611.28, "end": 1612.0, "word": " على", "probability": 0.66064453125}, {"start": 1612.0, "end": 1612.68, "word": " DX", "probability": 0.8623046875}, {"start": 1612.68, "end": 1613.06, "word": " لل", "probability": 0.8583984375}, {"start": 1613.06, "end": 1613.96, "word": " EO6", "probability": 0.4697265625}, {"start": 1613.96, "end": 1614.76, "word": " يساوي", "probability": 0.906982421875}, {"start": 1614.76, "end": 1616.24, "word": " واحد", "probability": 0.620361328125}, {"start": 1616.24, "end": 1616.98, "word": " زائر", "probability": 0.73681640625}, {"start": 1616.98, "end": 1617.82, "word": " هذه", "probability": 0.449951171875}, {"start": 1617.82, "end": 1618.12, "word": " لو", "probability": 0.9697265625}, {"start": 1618.12, "end": 1619.34, "word": " فكيتها", "probability": 0.904541015625}, {"start": 1619.34, "end": 1620.26, "word": " عبارة", "probability": 0.95068359375}, {"start": 1620.26, "end": 1620.56, "word": " عن", "probability": 0.9931640625}, {"start": 1620.56, "end": 1621.6, "word": " اتنين", "probability": 0.92578125}, {"start": 1621.6, "end": 1621.96, "word": " في", "probability": 0.88525390625}, {"start": 1621.96, "end": 1622.8, "word": " اتنين", "probability": 0.74737548828125}, {"start": 1622.8, "end": 1623.4, "word": " في", "probability": 0.794921875}, {"start": 1623.4, "end": 1624.04, "word": " واحد", "probability": 0.9794921875}, {"start": 1624.04, "end": 1624.88, "word": " factorial", "probability": 0.56298828125}, {"start": 1624.88, "end": 1625.9, "word": " هذه", "probability": 0.67431640625}, {"start": 1625.9, "end": 1627.0, "word": " تلاتة", "probability": 0.932373046875}, {"start": 1627.0, "end": 1627.2, "word": " في", "probability": 0.94677734375}, {"start": 1627.2, "end": 1627.72, "word": " اتنين", "probability": 0.986083984375}, {"start": 1627.72, "end": 1628.54, "word": " factorial", "probability": 0.765625}, {"start": 1628.54, "end": 1629.54, "word": " هذه", "probability": 0.86962890625}, {"start": 1629.54, "end": 1630.1, "word": " N", "probability": 0.38232421875}, {"start": 1630.1, "end": 1630.44, "word": " في", "probability": 0.91455078125}, {"start": 1630.44, "end": 1630.84, "word": " N", "probability": 0.93896484375}, {"start": 1630.84, "end": 1631.68, "word": " ناقص", "probability": 0.978759765625}, {"start": 1631.68, "end": 1632.24, "word": " واحد", "probability": 0.9765625}, {"start": 1632.24, "end": 1632.98, "word": " factorial", "probability": 0.7314453125}], "temperature": 1.0}, {"id": 68, "seek": 165366, "start": 1633.5, "end": 1653.66, "text": "يبقى الاتنين هتروح مع اتنين والتلاتة هتروح مع التلاتة يبقى بيظل عندي زائد x على واحد factorial زائد x تربيع على اتنين factorial زائد x تكيب على تلاتة factorial زائد زائد", "tokens": [1829, 3555, 4587, 7578, 2423, 9307, 1863, 9957, 8032, 2655, 32887, 5016, 20449, 1975, 2655, 1863, 9957, 16070, 2655, 1211, 9307, 3660, 8032, 2655, 32887, 5016, 20449, 16712, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 4724, 1829, 19913, 1211, 18871, 16254, 30767, 16373, 3215, 2031, 15844, 36764, 24401, 36916, 30767, 16373, 3215, 2031, 6055, 2288, 21292, 3615, 15844, 1975, 2655, 1863, 9957, 36916, 30767, 16373, 3215, 2031, 6055, 4117, 1829, 3555, 15844, 6055, 1211, 9307, 3660, 36916, 30767, 16373, 3215, 30767, 16373, 3215], "avg_logprob": -0.19791666205440248, "compression_ratio": 2.074626865671642, "no_speech_prob": 0.0, "words": [{"start": 1633.5, "end": 1634.16, "word": "يبقى", "probability": 0.796630859375}, {"start": 1634.16, "end": 1634.74, "word": " الاتنين", "probability": 0.643280029296875}, {"start": 1634.74, "end": 1635.52, "word": " هتروح", "probability": 0.8438720703125}, {"start": 1635.52, "end": 1635.76, "word": " مع", "probability": 0.990234375}, {"start": 1635.76, "end": 1636.4, "word": " اتنين", "probability": 0.83740234375}, {"start": 1636.4, "end": 1637.68, "word": " والتلاتة", "probability": 0.8134765625}, {"start": 1637.68, "end": 1638.28, "word": " هتروح", "probability": 0.9794921875}, {"start": 1638.28, "end": 1638.52, "word": " مع", "probability": 0.98876953125}, {"start": 1638.52, "end": 1639.4, "word": " التلاتة", "probability": 0.9801025390625}, {"start": 1639.4, "end": 1639.98, "word": " يبقى", "probability": 0.942626953125}, {"start": 1639.98, "end": 1640.36, "word": " بيظل", "probability": 0.4703369140625}, {"start": 1640.36, "end": 1640.84, "word": " عندي", "probability": 0.8896484375}, {"start": 1640.84, "end": 1641.7, "word": " زائد", "probability": 0.5702718098958334}, {"start": 1641.7, "end": 1642.16, "word": " x", "probability": 0.487060546875}, {"start": 1642.16, "end": 1642.5, "word": " على", "probability": 0.59765625}, {"start": 1642.5, "end": 1642.98, "word": " واحد", "probability": 0.96630859375}, {"start": 1642.98, "end": 1643.68, "word": " factorial", "probability": 0.7265625}, {"start": 1643.68, "end": 1644.78, "word": " زائد", "probability": 0.9309895833333334}, {"start": 1644.78, "end": 1645.06, "word": " x", "probability": 0.9482421875}, {"start": 1645.06, "end": 1645.62, "word": " تربيع", "probability": 0.7950439453125}, {"start": 1645.62, "end": 1645.88, "word": " على", "probability": 0.90185546875}, {"start": 1645.88, "end": 1646.34, "word": " اتنين", "probability": 0.965087890625}, {"start": 1646.34, "end": 1647.18, "word": " factorial", "probability": 0.79296875}, {"start": 1647.18, "end": 1648.34, "word": " زائد", "probability": 0.9842122395833334}, {"start": 1648.34, "end": 1648.76, "word": " x", "probability": 0.98583984375}, {"start": 1648.76, "end": 1649.46, "word": " تكيب", "probability": 0.8939208984375}, {"start": 1649.46, "end": 1649.82, "word": " على", "probability": 0.93212890625}, {"start": 1649.82, "end": 1650.58, "word": " تلاتة", "probability": 0.9649658203125}, {"start": 1650.58, "end": 1651.4, "word": " factorial", "probability": 0.82958984375}, {"start": 1651.4, "end": 1652.66, "word": " زائد", "probability": 0.9767252604166666}, {"start": 1652.66, "end": 1653.66, "word": " زائد", "probability": 0.9602864583333334}], "temperature": 1.0}, {"id": 69, "seek": 167019, "start": 1654.73, "end": 1670.19, "text": "بتروح ال N مع ال N يبقى X أس N minus ال one N minus ال one factorial بالشكل اللي عندنا هنا زائد إلى آخرين", "tokens": [3555, 2655, 32887, 5016, 2423, 426, 20449, 2423, 426, 7251, 3555, 4587, 7578, 1783, 5551, 3794, 426, 3175, 2423, 472, 426, 3175, 2423, 472, 36916, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 34105, 30767, 16373, 3215, 30731, 19753, 34740, 9957], "avg_logprob": -0.2576219454044249, "compression_ratio": 1.2580645161290323, "no_speech_prob": 0.0, "words": [{"start": 1654.73, "end": 1655.45, "word": "بتروح", "probability": 0.7626953125}, {"start": 1655.45, "end": 1655.67, "word": " ال", "probability": 0.9169921875}, {"start": 1655.67, "end": 1655.97, "word": " N", "probability": 0.432373046875}, {"start": 1655.97, "end": 1656.25, "word": " مع", "probability": 0.9921875}, {"start": 1656.25, "end": 1656.59, "word": " ال", "probability": 0.94287109375}, {"start": 1656.59, "end": 1656.85, "word": " N", "probability": 0.94140625}, {"start": 1656.85, "end": 1657.77, "word": " يبقى", "probability": 0.928466796875}, {"start": 1657.77, "end": 1658.13, "word": " X", "probability": 0.68505859375}, {"start": 1658.13, "end": 1658.55, "word": " أس", "probability": 0.6357421875}, {"start": 1658.55, "end": 1658.93, "word": " N", "probability": 0.93701171875}, {"start": 1658.93, "end": 1659.41, "word": " minus", "probability": 0.6005859375}, {"start": 1659.41, "end": 1659.73, "word": " ال", "probability": 0.92236328125}, {"start": 1659.73, "end": 1660.01, "word": " one", "probability": 0.5703125}, {"start": 1660.01, "end": 1660.77, "word": " N", "probability": 0.70849609375}, {"start": 1660.77, "end": 1661.41, "word": " minus", "probability": 0.97802734375}, {"start": 1661.41, "end": 1661.73, "word": " ال", "probability": 0.82080078125}, {"start": 1661.73, "end": 1662.09, "word": " one", "probability": 0.9560546875}, {"start": 1662.09, "end": 1663.33, "word": " factorial", "probability": 0.61572265625}, {"start": 1663.33, "end": 1664.33, "word": " بالشكل", "probability": 0.86669921875}, {"start": 1664.33, "end": 1664.49, "word": " اللي", "probability": 0.96728515625}, {"start": 1664.49, "end": 1664.81, "word": " عندنا", "probability": 0.58135986328125}, {"start": 1664.81, "end": 1665.05, "word": " هنا", "probability": 0.81298828125}, {"start": 1665.05, "end": 1668.81, "word": " زائد", "probability": 0.7338053385416666}, {"start": 1668.81, "end": 1669.49, "word": " إلى", "probability": 0.74072265625}, {"start": 1669.49, "end": 1670.19, "word": " آخرين", "probability": 0.92431640625}], "temperature": 1.0}, {"id": 70, "seek": 169271, "start": 1671.01, "end": 1692.71, "text": "يبقى الان بتروح اكتبها على شكل summation يبقى لو كتبتها على شكل summation بده أصير summation للحد انهني x أُس n-1 على n-1 factorial بالشكل اللي عندنا هذا طب ال index اللي تحت ال summation من وين بده يبدأ؟", "tokens": [1829, 3555, 4587, 7578, 2423, 7649, 39894, 32887, 5016, 1975, 4117, 2655, 3555, 11296, 15844, 13412, 28820, 28811, 7251, 3555, 4587, 7578, 45164, 9122, 2655, 3555, 2655, 11296, 15844, 13412, 28820, 28811, 47525, 3224, 5551, 9381, 13546, 28811, 24976, 24401, 16472, 3224, 22653, 2031, 5551, 10859, 3794, 297, 12, 16, 15844, 297, 12, 16, 36916, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 23032, 3555, 2423, 8186, 13672, 1829, 6055, 33753, 2423, 28811, 9154, 4032, 9957, 47525, 3224, 7251, 44510, 10721, 22807], "avg_logprob": -0.2628012191818421, "compression_ratio": 1.638743455497382, "no_speech_prob": 0.0, "words": [{"start": 1671.01, "end": 1671.47, "word": "يبقى", "probability": 0.682952880859375}, {"start": 1671.47, "end": 1671.75, "word": " الان", "probability": 0.6517333984375}, {"start": 1671.75, "end": 1672.19, "word": " بتروح", "probability": 0.7217610677083334}, {"start": 1672.19, "end": 1672.73, "word": " اكتبها", "probability": 0.95615234375}, {"start": 1672.73, "end": 1672.99, "word": " على", "probability": 0.85302734375}, {"start": 1672.99, "end": 1673.53, "word": " شكل", "probability": 0.973876953125}, {"start": 1673.53, "end": 1674.35, "word": " summation", "probability": 0.76171875}, {"start": 1674.35, "end": 1675.39, "word": " يبقى", "probability": 0.9271240234375}, {"start": 1675.39, "end": 1675.61, "word": " لو", "probability": 0.94677734375}, {"start": 1675.61, "end": 1676.35, "word": " كتبتها", "probability": 0.89951171875}, {"start": 1676.35, "end": 1676.51, "word": " على", "probability": 0.896484375}, {"start": 1676.51, "end": 1676.97, "word": " شكل", "probability": 0.979248046875}, {"start": 1676.97, "end": 1677.71, "word": " summation", "probability": 0.9189453125}, {"start": 1677.71, "end": 1678.13, "word": " بده", "probability": 0.53955078125}, {"start": 1678.13, "end": 1678.53, "word": " أصير", "probability": 0.79296875}, {"start": 1678.53, "end": 1679.49, "word": " summation", "probability": 0.90234375}, {"start": 1679.49, "end": 1680.77, "word": " للحد", "probability": 0.755615234375}, {"start": 1680.77, "end": 1681.45, "word": " انهني", "probability": 0.4871419270833333}, {"start": 1681.45, "end": 1681.81, "word": " x", "probability": 0.5380859375}, {"start": 1681.81, "end": 1682.27, "word": " أُس", "probability": 0.6302897135416666}, {"start": 1682.27, "end": 1682.61, "word": " n", "probability": 0.5068359375}, {"start": 1682.61, "end": 1683.57, "word": "-1", "probability": 0.55548095703125}, {"start": 1683.57, "end": 1684.31, "word": " على", "probability": 0.48828125}, {"start": 1684.31, "end": 1684.69, "word": " n", "probability": 0.83837890625}, {"start": 1684.69, "end": 1685.89, "word": "-1", "probability": 0.872802734375}, {"start": 1685.89, "end": 1687.41, "word": " factorial", "probability": 0.6103515625}, {"start": 1687.41, "end": 1688.07, "word": " بالشكل", "probability": 0.9373372395833334}, {"start": 1688.07, "end": 1688.23, "word": " اللي", "probability": 0.921142578125}, {"start": 1688.23, "end": 1688.61, "word": " عندنا", "probability": 0.943115234375}, {"start": 1688.61, "end": 1688.89, "word": " هذا", "probability": 0.8994140625}, {"start": 1688.89, "end": 1689.65, "word": " طب", "probability": 0.793701171875}, {"start": 1689.65, "end": 1689.81, "word": " ال", "probability": 0.9541015625}, {"start": 1689.81, "end": 1690.27, "word": " index", "probability": 0.92626953125}, {"start": 1690.27, "end": 1690.49, "word": " اللي", "probability": 0.822509765625}, {"start": 1690.49, "end": 1690.79, "word": " تحت", "probability": 0.989501953125}, {"start": 1690.79, "end": 1690.95, "word": " ال", "probability": 0.87109375}, {"start": 1690.95, "end": 1691.33, "word": " summation", "probability": 0.94677734375}, {"start": 1691.33, "end": 1691.55, "word": " من", "probability": 0.94482421875}, {"start": 1691.55, "end": 1691.73, "word": " وين", "probability": 0.733642578125}, {"start": 1691.73, "end": 1692.09, "word": " بده", "probability": 0.7088623046875}, {"start": 1692.09, "end": 1692.71, "word": " يبدأ؟", "probability": 0.904052734375}], "temperature": 1.0}, {"id": 71, "seek": 172168, "start": 1693.44, "end": 1721.68, "text": "عند الواحدة لو أصلا عندي zero طار أول term يبقى summation من N equal one to infinity بالفعل لو بدأت أحط N بواحد و اتنين و تلاتة بلاقي ال series اللي عندنا هذه يبقى لا يزال المشكلة عندنا قائمة هل ال summation اللي احنا كتبناه هو ال E و ال six اللي احنا حكينا عليها هذه", "tokens": [3615, 41260, 2423, 14407, 24401, 3660, 45164, 5551, 9381, 15040, 18871, 16254, 4018, 23032, 9640, 5551, 12610, 1433, 7251, 3555, 4587, 7578, 28811, 9154, 426, 2681, 472, 281, 13202, 20666, 5172, 30241, 45164, 47525, 10721, 2655, 5551, 5016, 9566, 426, 4724, 14407, 24401, 4032, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 3660, 4724, 15040, 38436, 2423, 2638, 13672, 1829, 43242, 8315, 29538, 7251, 3555, 4587, 7578, 20193, 7251, 11622, 6027, 9673, 8592, 28820, 3660, 43242, 8315, 12174, 16373, 46007, 8032, 1211, 2423, 28811, 13672, 1829, 1975, 5016, 8315, 9122, 2655, 3555, 8315, 3224, 31439, 2423, 462, 4032, 2423, 2309, 13672, 1829, 1975, 5016, 8315, 11331, 4117, 1829, 8315, 25894, 11296, 29538], "avg_logprob": -0.21059181204939312, "compression_ratio": 1.7056451612903225, "no_speech_prob": 0.0, "words": [{"start": 1693.44, "end": 1693.86, "word": "عند", "probability": 0.397247314453125}, {"start": 1693.86, "end": 1694.48, "word": " الواحدة", "probability": 0.841552734375}, {"start": 1694.48, "end": 1694.62, "word": " لو", "probability": 0.44775390625}, {"start": 1694.62, "end": 1695.0, "word": " أصلا", "probability": 0.7425130208333334}, {"start": 1695.0, "end": 1695.38, "word": " عندي", "probability": 0.689208984375}, {"start": 1695.38, "end": 1695.68, "word": " zero", "probability": 0.43603515625}, {"start": 1695.68, "end": 1696.5, "word": " طار", "probability": 0.72802734375}, {"start": 1696.5, "end": 1697.06, "word": " أول", "probability": 0.755615234375}, {"start": 1697.06, "end": 1697.64, "word": " term", "probability": 0.92919921875}, {"start": 1697.64, "end": 1698.5, "word": " يبقى", "probability": 0.9688720703125}, {"start": 1698.5, "end": 1698.98, "word": " summation", "probability": 0.86669921875}, {"start": 1698.98, "end": 1699.78, "word": " من", "probability": 0.96044921875}, {"start": 1699.78, "end": 1700.18, "word": " N", "probability": 0.444580078125}, {"start": 1700.18, "end": 1700.72, "word": " equal", "probability": 0.342529296875}, {"start": 1700.72, "end": 1701.28, "word": " one", "probability": 0.82861328125}, {"start": 1701.28, "end": 1701.58, "word": " to", "probability": 0.9384765625}, {"start": 1701.58, "end": 1702.14, "word": " infinity", "probability": 0.6591796875}, {"start": 1702.14, "end": 1702.96, "word": " بالفعل", "probability": 0.9529622395833334}, {"start": 1702.96, "end": 1703.72, "word": " لو", "probability": 0.93896484375}, {"start": 1703.72, "end": 1704.2, "word": " بدأت", "probability": 0.8128255208333334}, {"start": 1704.2, "end": 1704.66, "word": " أحط", "probability": 0.8759765625}, {"start": 1704.66, "end": 1705.02, "word": " N", "probability": 0.79052734375}, {"start": 1705.02, "end": 1705.54, "word": " بواحد", "probability": 0.9541015625}, {"start": 1705.54, "end": 1705.68, "word": " و", "probability": 0.95068359375}, {"start": 1705.68, "end": 1705.98, "word": " اتنين", "probability": 0.82073974609375}, {"start": 1705.98, "end": 1706.12, "word": " و", "probability": 0.912109375}, {"start": 1706.12, "end": 1706.8, "word": " تلاتة", "probability": 0.9146728515625}, {"start": 1706.8, "end": 1707.54, "word": " بلاقي", "probability": 0.6693522135416666}, {"start": 1707.54, "end": 1707.72, "word": " ال", "probability": 0.94140625}, {"start": 1707.72, "end": 1708.06, "word": " series", "probability": 0.95263671875}, {"start": 1708.06, "end": 1708.36, "word": " اللي", "probability": 0.894775390625}, {"start": 1708.36, "end": 1708.98, "word": " عندنا", "probability": 0.97998046875}, {"start": 1708.98, "end": 1709.5, "word": " هذه", "probability": 0.578125}, {"start": 1709.5, "end": 1710.52, "word": " يبقى", "probability": 0.98828125}, {"start": 1710.52, "end": 1710.66, "word": " لا", "probability": 0.441162109375}, {"start": 1710.66, "end": 1711.32, "word": " يزال", "probability": 0.9480794270833334}, {"start": 1711.32, "end": 1712.06, "word": " المشكلة", "probability": 0.9959716796875}, {"start": 1712.06, "end": 1712.76, "word": " عندنا", "probability": 0.98193359375}, {"start": 1712.76, "end": 1713.42, "word": " قائمة", "probability": 0.99365234375}, {"start": 1713.42, "end": 1714.36, "word": " هل", "probability": 0.97119140625}, {"start": 1714.36, "end": 1714.56, "word": " ال", "probability": 0.88525390625}, {"start": 1714.56, "end": 1715.12, "word": " summation", "probability": 0.9443359375}, {"start": 1715.12, "end": 1715.46, "word": " اللي", "probability": 0.977783203125}, {"start": 1715.46, "end": 1715.72, "word": " احنا", "probability": 0.9392903645833334}, {"start": 1715.72, "end": 1717.28, "word": " كتبناه", "probability": 0.98115234375}, {"start": 1717.28, "end": 1717.88, "word": " هو", "probability": 0.99072265625}, {"start": 1717.88, "end": 1718.84, "word": " ال", "probability": 0.95654296875}, {"start": 1718.84, "end": 1719.1, "word": " E", "probability": 0.84619140625}, {"start": 1719.1, "end": 1719.26, "word": " و", "probability": 0.2271728515625}, {"start": 1719.26, "end": 1719.44, "word": " ال", "probability": 0.419677734375}, {"start": 1719.44, "end": 1719.76, "word": " six", "probability": 0.50830078125}, {"start": 1719.76, "end": 1720.02, "word": " اللي", "probability": 0.98095703125}, {"start": 1720.02, "end": 1720.22, "word": " احنا", "probability": 0.8538411458333334}, {"start": 1720.22, "end": 1720.72, "word": " حكينا", "probability": 0.935791015625}, {"start": 1720.72, "end": 1721.18, "word": " عليها", "probability": 0.8271484375}, {"start": 1721.18, "end": 1721.68, "word": " هذه", "probability": 0.56494140625}], "temperature": 1.0}, {"id": 72, "seek": 175227, "start": 1723.19, "end": 1752.27, "text": "هي بالضبط و الله في خلاف اه في خلاف ال index اللى فوق بيبدأ من عند ال zero هذا ال index بيبدأ من وين من عند ال واحد مانفعش بدك يتساوي بها بدها تكون زيها رسمًا بنقوله كويس اذا أصبح عندي D على DX لل EO6 يساوي طلّال ال summation هذا", "tokens": [3224, 1829, 20666, 11242, 3555, 9566, 4032, 21984, 8978, 16490, 15040, 5172, 1975, 3224, 8978, 16490, 15040, 5172, 2423, 8186, 13672, 7578, 6156, 30543, 4724, 1829, 44510, 10721, 9154, 43242, 2423, 4018, 23758, 2423, 8186, 4724, 1829, 44510, 10721, 9154, 4032, 9957, 9154, 43242, 2423, 36764, 24401, 3714, 7649, 5172, 3615, 8592, 47525, 4117, 7251, 2655, 3794, 995, 45865, 4724, 11296, 47525, 11296, 6055, 30544, 30767, 1829, 11296, 12602, 38251, 14111, 995, 44945, 39648, 3224, 9122, 45865, 3794, 1975, 15730, 5551, 9381, 49628, 18871, 16254, 413, 15844, 48817, 24976, 462, 46, 21, 7251, 3794, 995, 45865, 23032, 1211, 11703, 6027, 2423, 28811, 23758], "avg_logprob": -0.22130408897422826, "compression_ratio": 1.730593607305936, "no_speech_prob": 0.0, "words": [{"start": 1723.19, "end": 1723.53, "word": "هي", "probability": 0.5118408203125}, {"start": 1723.53, "end": 1724.29, "word": " بالضبط", "probability": 0.9263916015625}, {"start": 1724.29, "end": 1724.41, "word": " و", "probability": 0.29150390625}, {"start": 1724.41, "end": 1724.59, "word": " الله", "probability": 0.9287109375}, {"start": 1724.59, "end": 1724.77, "word": " في", "probability": 0.7744140625}, {"start": 1724.77, "end": 1725.45, "word": " خلاف", "probability": 0.8504231770833334}, {"start": 1725.45, "end": 1726.77, "word": " اه", "probability": 0.54217529296875}, {"start": 1726.77, "end": 1726.91, "word": " في", "probability": 0.8623046875}, {"start": 1726.91, "end": 1727.49, "word": " خلاف", "probability": 0.97607421875}, {"start": 1727.49, "end": 1728.19, "word": " ال", "probability": 0.91162109375}, {"start": 1728.19, "end": 1728.59, "word": " index", "probability": 0.8447265625}, {"start": 1728.59, "end": 1728.91, "word": " اللى", "probability": 0.73876953125}, {"start": 1728.91, "end": 1729.25, "word": " فوق", "probability": 0.9765625}, {"start": 1729.25, "end": 1730.09, "word": " بيبدأ", "probability": 0.7115478515625}, {"start": 1730.09, "end": 1730.25, "word": " من", "probability": 0.8349609375}, {"start": 1730.25, "end": 1730.57, "word": " عند", "probability": 0.82373046875}, {"start": 1730.57, "end": 1730.79, "word": " ال", "probability": 0.92919921875}, {"start": 1730.79, "end": 1731.21, "word": " zero", "probability": 0.74755859375}, {"start": 1731.21, "end": 1731.91, "word": " هذا", "probability": 0.474365234375}, {"start": 1731.91, "end": 1732.09, "word": " ال", "probability": 0.974609375}, {"start": 1732.09, "end": 1732.45, "word": " index", "probability": 0.95654296875}, {"start": 1732.45, "end": 1733.01, "word": " بيبدأ", "probability": 0.9488525390625}, {"start": 1733.01, "end": 1733.15, "word": " من", "probability": 0.98486328125}, {"start": 1733.15, "end": 1733.63, "word": " وين", "probability": 0.853759765625}, {"start": 1733.63, "end": 1734.37, "word": " من", "probability": 0.5595703125}, {"start": 1734.37, "end": 1734.67, "word": " عند", "probability": 0.9677734375}, {"start": 1734.67, "end": 1734.85, "word": " ال", "probability": 0.97705078125}, {"start": 1734.85, "end": 1735.37, "word": " واحد", "probability": 0.919677734375}, {"start": 1735.37, "end": 1736.19, "word": " مانفعش", "probability": 0.86044921875}, {"start": 1736.19, "end": 1736.63, "word": " بدك", "probability": 0.791015625}, {"start": 1736.63, "end": 1737.39, "word": " يتساوي", "probability": 0.9537109375}, {"start": 1737.39, "end": 1737.75, "word": " بها", "probability": 0.96240234375}, {"start": 1737.75, "end": 1738.55, "word": " بدها", "probability": 0.892578125}, {"start": 1738.55, "end": 1738.99, "word": " تكون", "probability": 0.988525390625}, {"start": 1738.99, "end": 1739.87, "word": " زيها", "probability": 0.95361328125}, {"start": 1739.87, "end": 1740.87, "word": " رسمًا", "probability": 0.851806640625}, {"start": 1740.87, "end": 1742.11, "word": " بنقوله", "probability": 0.4901936848958333}, {"start": 1742.11, "end": 1742.67, "word": " كويس", "probability": 0.9842122395833334}, {"start": 1742.67, "end": 1742.99, "word": " اذا", "probability": 0.86962890625}, {"start": 1742.99, "end": 1743.75, "word": " أصبح", "probability": 0.8460286458333334}, {"start": 1743.75, "end": 1744.47, "word": " عندي", "probability": 0.7861328125}, {"start": 1744.47, "end": 1745.45, "word": " D", "probability": 0.4443359375}, {"start": 1745.45, "end": 1746.19, "word": " على", "probability": 0.8076171875}, {"start": 1746.19, "end": 1747.35, "word": " DX", "probability": 0.8984375}, {"start": 1747.35, "end": 1747.79, "word": " لل", "probability": 0.8291015625}, {"start": 1747.79, "end": 1748.85, "word": " EO6", "probability": 0.7189127604166666}, {"start": 1748.85, "end": 1749.71, "word": " يساوي", "probability": 0.966064453125}, {"start": 1749.71, "end": 1751.03, "word": " طلّال", "probability": 0.8062744140625}, {"start": 1751.03, "end": 1751.21, "word": " ال", "probability": 0.6474609375}, {"start": 1751.21, "end": 1751.73, "word": " summation", "probability": 0.95556640625}, {"start": 1751.73, "end": 1752.27, "word": " هذا", "probability": 0.93505859375}], "temperature": 1.0}, {"id": 73, "seek": 176820, "start": 1753.7, "end": 1768.2, "text": "ممكن اخلّيه يبدأ من اندزيرو لو شيلت كل N وحطيت مكانها N زائد واحد يبقى بدي اشيل كل N وحط مكانها N زائد واحد ده يصير N زائد واحد تساوي واحد الى infinity", "tokens": [2304, 43020, 1975, 9778, 1211, 11703, 1829, 3224, 7251, 44510, 10721, 9154, 16472, 3215, 11622, 13546, 2407, 45164, 13412, 26895, 2655, 28242, 426, 4032, 5016, 9566, 36081, 3714, 41361, 11296, 426, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 8592, 26895, 28242, 426, 4032, 5016, 9566, 3714, 41361, 11296, 426, 30767, 16373, 3215, 36764, 24401, 11778, 3224, 7251, 9381, 13546, 426, 30767, 16373, 3215, 36764, 24401, 6055, 3794, 995, 45865, 36764, 24401, 2423, 7578, 13202], "avg_logprob": -0.3187500011175871, "compression_ratio": 1.748299319727891, "no_speech_prob": 0.0, "words": [{"start": 1753.7, "end": 1754.38, "word": "ممكن", "probability": 0.630859375}, {"start": 1754.38, "end": 1755.14, "word": " اخلّيه", "probability": 0.5177408854166666}, {"start": 1755.14, "end": 1755.42, "word": " يبدأ", "probability": 0.9348958333333334}, {"start": 1755.42, "end": 1755.52, "word": " من", "probability": 0.708984375}, {"start": 1755.52, "end": 1756.18, "word": " اندزيرو", "probability": 0.5235107421875}, {"start": 1756.18, "end": 1756.38, "word": " لو", "probability": 0.67724609375}, {"start": 1756.38, "end": 1757.04, "word": " شيلت", "probability": 0.9195963541666666}, {"start": 1757.04, "end": 1757.3, "word": " كل", "probability": 0.95263671875}, {"start": 1757.3, "end": 1757.5, "word": " N", "probability": 0.287109375}, {"start": 1757.5, "end": 1758.04, "word": " وحطيت", "probability": 0.76446533203125}, {"start": 1758.04, "end": 1758.72, "word": " مكانها", "probability": 0.97900390625}, {"start": 1758.72, "end": 1759.5, "word": " N", "probability": 0.73046875}, {"start": 1759.5, "end": 1759.98, "word": " زائد", "probability": 0.6429443359375}, {"start": 1759.98, "end": 1760.24, "word": " واحد", "probability": 0.90087890625}, {"start": 1760.24, "end": 1760.48, "word": " يبقى", "probability": 0.686492919921875}, {"start": 1760.48, "end": 1760.78, "word": " بدي", "probability": 0.3914794921875}, {"start": 1760.78, "end": 1761.16, "word": " اشيل", "probability": 0.7972005208333334}, {"start": 1761.16, "end": 1761.4, "word": " كل", "probability": 0.91650390625}, {"start": 1761.4, "end": 1761.6, "word": " N", "probability": 0.83642578125}, {"start": 1761.6, "end": 1762.0, "word": " وحط", "probability": 0.8216145833333334}, {"start": 1762.0, "end": 1762.52, "word": " مكانها", "probability": 0.98193359375}, {"start": 1762.52, "end": 1762.72, "word": " N", "probability": 0.8974609375}, {"start": 1762.72, "end": 1763.1, "word": " زائد", "probability": 0.9060872395833334}, {"start": 1763.1, "end": 1763.48, "word": " واحد", "probability": 0.99072265625}, {"start": 1763.48, "end": 1764.24, "word": " ده", "probability": 0.708740234375}, {"start": 1764.24, "end": 1764.54, "word": " يصير", "probability": 0.82470703125}, {"start": 1764.54, "end": 1764.94, "word": " N", "probability": 0.78125}, {"start": 1764.94, "end": 1765.46, "word": " زائد", "probability": 0.95361328125}, {"start": 1765.46, "end": 1765.86, "word": " واحد", "probability": 0.988525390625}, {"start": 1765.86, "end": 1766.42, "word": " تساوي", "probability": 0.8785400390625}, {"start": 1766.42, "end": 1766.98, "word": " واحد", "probability": 0.978271484375}, {"start": 1766.98, "end": 1767.52, "word": " الى", "probability": 0.77685546875}, {"start": 1767.52, "end": 1768.2, "word": " infinity", "probability": 0.5947265625}], "temperature": 1.0}, {"id": 74, "seek": 179227, "start": 1768.95, "end": 1792.27, "text": "لل X أُس N زائد واحد وين ناقص واحد على N زائد واحد ناقص واحد factorial يبقى هذه ال summation من عند N equal zero to infinity لل X to the power N على N factorial بروح واحد وسلب واحد وفوق واحد وسلب واحد", "tokens": [1211, 1211, 1783, 5551, 10859, 3794, 426, 30767, 16373, 3215, 36764, 24401, 4032, 9957, 8717, 995, 4587, 9381, 36764, 24401, 15844, 426, 30767, 16373, 3215, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 36916, 7251, 3555, 4587, 7578, 29538, 2423, 28811, 9154, 43242, 426, 2681, 4018, 281, 13202, 24976, 1783, 281, 264, 1347, 426, 15844, 426, 36916, 4724, 32887, 5016, 36764, 24401, 46952, 46152, 36764, 24401, 4032, 5172, 30543, 36764, 24401, 46952, 46152, 36764, 24401], "avg_logprob": -0.19654605635686925, "compression_ratio": 1.699421965317919, "no_speech_prob": 0.0, "words": [{"start": 1768.95, "end": 1769.59, "word": "لل", "probability": 0.552978515625}, {"start": 1769.59, "end": 1769.95, "word": " X", "probability": 0.1893310546875}, {"start": 1769.95, "end": 1770.45, "word": " أُس", "probability": 0.5839029947916666}, {"start": 1770.45, "end": 1770.77, "word": " N", "probability": 0.767578125}, {"start": 1770.77, "end": 1771.31, "word": " زائد", "probability": 0.7417805989583334}, {"start": 1771.31, "end": 1771.69, "word": " واحد", "probability": 0.951416015625}, {"start": 1771.69, "end": 1772.11, "word": " وين", "probability": 0.51678466796875}, {"start": 1772.11, "end": 1772.81, "word": " ناقص", "probability": 0.984375}, {"start": 1772.81, "end": 1773.45, "word": " واحد", "probability": 0.98974609375}, {"start": 1773.45, "end": 1774.17, "word": " على", "probability": 0.6005859375}, {"start": 1774.17, "end": 1774.53, "word": " N", "probability": 0.912109375}, {"start": 1774.53, "end": 1775.09, "word": " زائد", "probability": 0.9547526041666666}, {"start": 1775.09, "end": 1775.55, "word": " واحد", "probability": 0.990478515625}, {"start": 1775.55, "end": 1776.19, "word": " ناقص", "probability": 0.9737548828125}, {"start": 1776.19, "end": 1776.75, "word": " واحد", "probability": 0.996337890625}, {"start": 1776.75, "end": 1777.61, "word": " factorial", "probability": 0.76220703125}, {"start": 1777.61, "end": 1778.75, "word": " يبقى", "probability": 0.9683837890625}, {"start": 1778.75, "end": 1779.15, "word": " هذه", "probability": 0.81103515625}, {"start": 1779.15, "end": 1779.39, "word": " ال", "probability": 0.7353515625}, {"start": 1779.39, "end": 1780.33, "word": " summation", "probability": 0.6396484375}, {"start": 1780.33, "end": 1781.19, "word": " من", "probability": 0.93212890625}, {"start": 1781.19, "end": 1781.45, "word": " عند", "probability": 0.7705078125}, {"start": 1781.45, "end": 1781.85, "word": " N", "probability": 0.9619140625}, {"start": 1781.85, "end": 1782.39, "word": " equal", "probability": 0.7548828125}, {"start": 1782.39, "end": 1782.85, "word": " zero", "probability": 0.630859375}, {"start": 1782.85, "end": 1783.13, "word": " to", "probability": 0.9697265625}, {"start": 1783.13, "end": 1783.87, "word": " infinity", "probability": 0.875}, {"start": 1783.87, "end": 1784.71, "word": " لل", "probability": 0.60986328125}, {"start": 1784.71, "end": 1785.09, "word": " X", "probability": 0.94384765625}, {"start": 1785.09, "end": 1785.33, "word": " to", "probability": 0.95458984375}, {"start": 1785.33, "end": 1785.55, "word": " the", "probability": 0.9130859375}, {"start": 1785.55, "end": 1786.01, "word": " power", "probability": 0.841796875}, {"start": 1786.01, "end": 1786.49, "word": " N", "probability": 0.939453125}, {"start": 1786.49, "end": 1786.97, "word": " على", "probability": 0.76025390625}, {"start": 1786.97, "end": 1787.35, "word": " N", "probability": 0.96240234375}, {"start": 1787.35, "end": 1787.69, "word": " factorial", "probability": 0.82763671875}, {"start": 1787.69, "end": 1788.23, "word": " بروح", "probability": 0.828125}, {"start": 1788.23, "end": 1788.61, "word": " واحد", "probability": 0.98974609375}, {"start": 1788.61, "end": 1789.07, "word": " وسلب", "probability": 0.6143798828125}, {"start": 1789.07, "end": 1789.53, "word": " واحد", "probability": 0.9892578125}, {"start": 1789.53, "end": 1790.27, "word": " وفوق", "probability": 0.90576171875}, {"start": 1790.27, "end": 1790.77, "word": " واحد", "probability": 0.993896484375}, {"start": 1790.77, "end": 1791.57, "word": " وسلب", "probability": 0.88037109375}, {"start": 1791.57, "end": 1792.27, "word": " واحد", "probability": 0.994384765625}], "temperature": 1.0}, {"id": 75, "seek": 181517, "start": 1792.73, "end": 1815.17, "text": "مين هي هذه؟ مش هذه الصيغة لأن هذه بالضبط تماما يبقى هذه بدها تعطينا مين؟ EO6 وكأن هذا برهان أخر ليثبت أن ال derivative لل EO6 بيعطينا مين؟ EO6 itself خلص المطلوب A، روح للمطلوب B", "tokens": [2304, 9957, 39896, 29538, 22807, 37893, 29538, 31767, 1829, 17082, 3660, 5296, 33456, 29538, 20666, 11242, 3555, 9566, 46811, 10943, 995, 7251, 3555, 4587, 7578, 29538, 47525, 11296, 6055, 3615, 9566, 1829, 8315, 3714, 9957, 22807, 462, 46, 21, 4032, 4117, 33456, 23758, 4724, 2288, 3224, 7649, 5551, 34740, 32239, 12984, 3555, 2655, 14739, 2423, 13760, 24976, 462, 46, 21, 4724, 40228, 9566, 1829, 8315, 3714, 9957, 22807, 462, 46, 21, 2564, 16490, 1211, 9381, 9673, 9566, 1211, 37746, 316, 12399, 12602, 2407, 5016, 5296, 19528, 9566, 1211, 37746, 363], "avg_logprob": -0.24261675529427582, "compression_ratio": 1.5978260869565217, "no_speech_prob": 0.0, "words": [{"start": 1792.73, "end": 1793.13, "word": "مين", "probability": 0.39239501953125}, {"start": 1793.13, "end": 1793.31, "word": " هي", "probability": 0.64306640625}, {"start": 1793.31, "end": 1794.01, "word": " هذه؟", "probability": 0.76806640625}, {"start": 1794.01, "end": 1794.93, "word": " مش", "probability": 0.3662109375}, {"start": 1794.93, "end": 1795.15, "word": " هذه", "probability": 0.53564453125}, {"start": 1795.15, "end": 1795.57, "word": " الصيغة", "probability": 0.9681396484375}, {"start": 1795.57, "end": 1795.87, "word": " لأن", "probability": 0.67333984375}, {"start": 1795.87, "end": 1796.09, "word": " هذه", "probability": 0.61865234375}, {"start": 1796.09, "end": 1796.63, "word": " بالضبط", "probability": 0.9464111328125}, {"start": 1796.63, "end": 1797.31, "word": " تماما", "probability": 0.947265625}, {"start": 1797.31, "end": 1798.25, "word": " يبقى", "probability": 0.8360595703125}, {"start": 1798.25, "end": 1798.61, "word": " هذه", "probability": 0.833984375}, {"start": 1798.61, "end": 1799.03, "word": " بدها", "probability": 0.722900390625}, {"start": 1799.03, "end": 1799.67, "word": " تعطينا", "probability": 0.88642578125}, {"start": 1799.67, "end": 1800.73, "word": " مين؟", "probability": 0.76416015625}, {"start": 1800.73, "end": 1801.61, "word": " EO6", "probability": 0.641357421875}, {"start": 1801.61, "end": 1802.43, "word": " وكأن", "probability": 0.8663736979166666}, {"start": 1802.43, "end": 1802.93, "word": " هذا", "probability": 0.95458984375}, {"start": 1802.93, "end": 1803.87, "word": " برهان", "probability": 0.9097900390625}, {"start": 1803.87, "end": 1804.57, "word": " أخر", "probability": 0.691162109375}, {"start": 1804.57, "end": 1805.77, "word": " ليثبت", "probability": 0.8404541015625}, {"start": 1805.77, "end": 1805.95, "word": " أن", "probability": 0.423095703125}, {"start": 1805.95, "end": 1806.11, "word": " ال", "probability": 0.40576171875}, {"start": 1806.11, "end": 1806.65, "word": " derivative", "probability": 0.8232421875}, {"start": 1806.65, "end": 1807.01, "word": " لل", "probability": 0.6494140625}, {"start": 1807.01, "end": 1807.85, "word": " EO6", "probability": 0.79296875}, {"start": 1807.85, "end": 1808.37, "word": " بيعطينا", "probability": 0.845458984375}, {"start": 1808.37, "end": 1809.09, "word": " مين؟", "probability": 0.9322916666666666}, {"start": 1809.09, "end": 1810.05, "word": " EO6", "probability": 0.953125}, {"start": 1810.05, "end": 1810.97, "word": " itself", "probability": 0.705078125}, {"start": 1810.97, "end": 1812.33, "word": " خلص", "probability": 0.8522135416666666}, {"start": 1812.33, "end": 1813.07, "word": " المطلوب", "probability": 0.95849609375}, {"start": 1813.07, "end": 1813.65, "word": " A،", "probability": 0.705810546875}, {"start": 1813.65, "end": 1813.89, "word": " روح", "probability": 0.8701171875}, {"start": 1813.89, "end": 1814.91, "word": " للمطلوب", "probability": 0.85048828125}, {"start": 1814.91, "end": 1815.17, "word": " B", "probability": 0.97412109375}], "temperature": 1.0}, {"id": 76, "seek": 184418, "start": 1817.36, "end": 1844.18, "text": "بنتكامل لل E أس X DX يبقى تكامل بدنا نشيل ال E أس X ونحط المفكوك تبعها اللي هو واحد زائد X زائد X تربيه على اتنين factorial X تكيب على تلاتة factorial زائد X أس N على N factorial زائد إلى ما شاء الله كله بالنسبة لمن؟ إلى DX", "tokens": [3555, 1863, 2655, 4117, 10943, 1211, 24976, 462, 5551, 3794, 1783, 48817, 7251, 3555, 4587, 7578, 6055, 4117, 10943, 1211, 47525, 8315, 8717, 8592, 26895, 2423, 462, 5551, 3794, 1783, 4032, 1863, 5016, 9566, 9673, 5172, 4117, 2407, 4117, 6055, 3555, 3615, 11296, 13672, 1829, 31439, 36764, 24401, 30767, 16373, 3215, 1783, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3224, 15844, 1975, 2655, 1863, 9957, 36916, 1783, 6055, 4117, 1829, 3555, 15844, 6055, 1211, 9307, 3660, 36916, 30767, 16373, 3215, 1783, 5551, 3794, 426, 15844, 426, 36916, 30767, 16373, 3215, 30731, 19446, 13412, 16606, 21984, 28242, 3224, 20666, 1863, 35457, 3660, 5296, 27842, 22807, 30731, 48817], "avg_logprob": -0.1905665818218873, "compression_ratio": 1.7889447236180904, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1817.36, "end": 1818.3, "word": "بنتكامل", "probability": 0.6365559895833334}, {"start": 1818.3, "end": 1818.96, "word": " لل", "probability": 0.426513671875}, {"start": 1818.96, "end": 1819.34, "word": " E", "probability": 0.40087890625}, {"start": 1819.34, "end": 1819.72, "word": " أس", "probability": 0.279052734375}, {"start": 1819.72, "end": 1820.04, "word": " X", "probability": 0.9404296875}, {"start": 1820.04, "end": 1820.68, "word": " DX", "probability": 0.77099609375}, {"start": 1820.68, "end": 1821.58, "word": " يبقى", "probability": 0.9034423828125}, {"start": 1821.58, "end": 1822.32, "word": " تكامل", "probability": 0.9652099609375}, {"start": 1822.32, "end": 1822.76, "word": " بدنا", "probability": 0.65625}, {"start": 1822.76, "end": 1823.38, "word": " نشيل", "probability": 0.96875}, {"start": 1823.38, "end": 1823.98, "word": " ال", "probability": 0.78662109375}, {"start": 1823.98, "end": 1824.16, "word": " E", "probability": 0.9423828125}, {"start": 1824.16, "end": 1824.42, "word": " أس", "probability": 0.938232421875}, {"start": 1824.42, "end": 1824.6, "word": " X", "probability": 0.99267578125}, {"start": 1824.6, "end": 1825.26, "word": " ونحط", "probability": 0.8494873046875}, {"start": 1825.26, "end": 1826.04, "word": " المفكوك", "probability": 0.96376953125}, {"start": 1826.04, "end": 1826.8, "word": " تبعها", "probability": 0.9390869140625}, {"start": 1826.8, "end": 1827.34, "word": " اللي", "probability": 0.61474609375}, {"start": 1827.34, "end": 1827.5, "word": " هو", "probability": 0.9765625}, {"start": 1827.5, "end": 1827.9, "word": " واحد", "probability": 0.732666015625}, {"start": 1827.9, "end": 1828.56, "word": " زائد", "probability": 0.8790690104166666}, {"start": 1828.56, "end": 1828.94, "word": " X", "probability": 0.97021484375}, {"start": 1828.94, "end": 1829.48, "word": " زائد", "probability": 0.9456380208333334}, {"start": 1829.48, "end": 1829.78, "word": " X", "probability": 0.98828125}, {"start": 1829.78, "end": 1830.38, "word": " تربيه", "probability": 0.79736328125}, {"start": 1830.38, "end": 1830.58, "word": " على", "probability": 0.845703125}, {"start": 1830.58, "end": 1830.98, "word": " اتنين", "probability": 0.9097900390625}, {"start": 1830.98, "end": 1831.68, "word": " factorial", "probability": 0.49560546875}, {"start": 1831.68, "end": 1832.5, "word": " X", "probability": 0.8583984375}, {"start": 1832.5, "end": 1833.16, "word": " تكيب", "probability": 0.8800048828125}, {"start": 1833.16, "end": 1833.44, "word": " على", "probability": 0.9384765625}, {"start": 1833.44, "end": 1834.12, "word": " تلاتة", "probability": 0.9393310546875}, {"start": 1834.12, "end": 1834.84, "word": " factorial", "probability": 0.82763671875}, {"start": 1834.84, "end": 1835.96, "word": " زائد", "probability": 0.978515625}, {"start": 1835.96, "end": 1836.32, "word": " X", "probability": 0.9833984375}, {"start": 1836.32, "end": 1836.68, "word": " أس", "probability": 0.960205078125}, {"start": 1836.68, "end": 1837.02, "word": " N", "probability": 0.94677734375}, {"start": 1837.02, "end": 1837.36, "word": " على", "probability": 0.7978515625}, {"start": 1837.36, "end": 1837.7, "word": " N", "probability": 0.94189453125}, {"start": 1837.7, "end": 1838.56, "word": " factorial", "probability": 0.87451171875}, {"start": 1838.56, "end": 1839.52, "word": " زائد", "probability": 0.98046875}, {"start": 1839.52, "end": 1839.86, "word": " إلى", "probability": 0.7587890625}, {"start": 1839.86, "end": 1840.22, "word": " ما", "probability": 0.97705078125}, {"start": 1840.22, "end": 1840.58, "word": " شاء", "probability": 0.991943359375}, {"start": 1840.58, "end": 1841.04, "word": " الله", "probability": 0.95947265625}, {"start": 1841.04, "end": 1841.5, "word": " كله", "probability": 0.93896484375}, {"start": 1841.5, "end": 1841.98, "word": " بالنسبة", "probability": 0.963623046875}, {"start": 1841.98, "end": 1843.06, "word": " لمن؟", "probability": 0.6004231770833334}, {"start": 1843.06, "end": 1843.44, "word": " إلى", "probability": 0.80078125}, {"start": 1843.44, "end": 1844.18, "word": " DX", "probability": 0.962890625}], "temperature": 1.0}, {"id": 77, "seek": 186054, "start": 1845.72, "end": 1860.54, "text": "إذا أصبح تكامل ال EOSX DX بده يساوي بدنا نكامل الحد الأول تكامله كده؟ التاني X تربيه على تانية تالت X تكايب", "tokens": [28814, 15730, 5551, 9381, 49628, 6055, 4117, 10943, 1211, 2423, 462, 4367, 55, 48817, 47525, 3224, 7251, 3794, 995, 45865, 47525, 8315, 8717, 4117, 10943, 1211, 21542, 3215, 16247, 12610, 6055, 4117, 10943, 43761, 9122, 3215, 3224, 22807, 16712, 7649, 1829, 1783, 6055, 2288, 21292, 3224, 15844, 6055, 7649, 10632, 6055, 6027, 2655, 1783, 6055, 4117, 47302, 3555], "avg_logprob": -0.3601695016279059, "compression_ratio": 1.4919354838709677, "no_speech_prob": 0.0, "words": [{"start": 1845.72, "end": 1846.1, "word": "إذا", "probability": 0.495513916015625}, {"start": 1846.1, "end": 1846.84, "word": " أصبح", "probability": 0.9464518229166666}, {"start": 1846.84, "end": 1847.74, "word": " تكامل", "probability": 0.967529296875}, {"start": 1847.74, "end": 1847.92, "word": " ال", "probability": 0.330322265625}, {"start": 1847.92, "end": 1849.0, "word": " EOSX", "probability": 0.5713704427083334}, {"start": 1849.0, "end": 1849.5, "word": " DX", "probability": 0.395263671875}, {"start": 1849.5, "end": 1850.14, "word": " بده", "probability": 0.4964599609375}, {"start": 1850.14, "end": 1850.78, "word": " يساوي", "probability": 0.9586181640625}, {"start": 1850.78, "end": 1851.8, "word": " بدنا", "probability": 0.6163330078125}, {"start": 1851.8, "end": 1852.38, "word": " نكامل", "probability": 0.84619140625}, {"start": 1852.38, "end": 1852.84, "word": " الحد", "probability": 0.6302490234375}, {"start": 1852.84, "end": 1853.3, "word": " الأول", "probability": 0.90283203125}, {"start": 1853.3, "end": 1853.86, "word": " تكامله", "probability": 0.8883056640625}, {"start": 1853.86, "end": 1854.78, "word": " كده؟", "probability": 0.59698486328125}, {"start": 1854.78, "end": 1856.56, "word": " التاني", "probability": 0.77734375}, {"start": 1856.56, "end": 1857.36, "word": " X", "probability": 0.703125}, {"start": 1857.36, "end": 1857.82, "word": " تربيه", "probability": 0.67523193359375}, {"start": 1857.82, "end": 1858.02, "word": " على", "probability": 0.79443359375}, {"start": 1858.02, "end": 1858.52, "word": " تانية", "probability": 0.7218424479166666}, {"start": 1858.52, "end": 1859.28, "word": " تالت", "probability": 0.9405924479166666}, {"start": 1859.28, "end": 1859.8, "word": " X", "probability": 0.88427734375}, {"start": 1859.8, "end": 1860.54, "word": " تكايب", "probability": 0.81414794921875}], "temperature": 1.0}, {"id": 78, "seek": 188662, "start": 1860.82, "end": 1886.62, "text": "على تلاتة في الاتنين factorial كما هي زيد ال X تلاتة بيصير X أص أربعة على أربعة في تلاتة factorial كما هي زيد X أص N plus one على N plus one في ال N factorial زيد إلى آخرى وهذه بيجيها كمان جداش يا شباب", "tokens": [3615, 23942, 6055, 1211, 9307, 3660, 8978, 2423, 9307, 1863, 9957, 36916, 9122, 15042, 39896, 30767, 25708, 2423, 1783, 6055, 1211, 9307, 3660, 4724, 1829, 9381, 13546, 1783, 5551, 9381, 5551, 25513, 27884, 15844, 5551, 25513, 27884, 8978, 6055, 1211, 9307, 3660, 36916, 9122, 15042, 39896, 30767, 25708, 1783, 5551, 9381, 426, 1804, 472, 15844, 426, 1804, 472, 8978, 2423, 426, 36916, 30767, 25708, 30731, 19753, 34740, 7578, 37037, 24192, 4724, 1829, 7435, 1829, 11296, 9122, 2304, 7649, 10874, 3215, 33599, 35186, 13412, 3555, 16758], "avg_logprob": -0.22674418725939685, "compression_ratio": 1.808139534883721, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1860.82, "end": 1861.42, "word": "على", "probability": 0.74609375}, {"start": 1861.42, "end": 1862.38, "word": " تلاتة", "probability": 0.82501220703125}, {"start": 1862.38, "end": 1862.6, "word": " في", "probability": 0.7587890625}, {"start": 1862.6, "end": 1863.16, "word": " الاتنين", "probability": 0.80792236328125}, {"start": 1863.16, "end": 1863.82, "word": " factorial", "probability": 0.373046875}, {"start": 1863.82, "end": 1864.34, "word": " كما", "probability": 0.962158203125}, {"start": 1864.34, "end": 1864.68, "word": " هي", "probability": 0.88330078125}, {"start": 1864.68, "end": 1865.9, "word": " زيد", "probability": 0.47802734375}, {"start": 1865.9, "end": 1866.08, "word": " ال", "probability": 0.88330078125}, {"start": 1866.08, "end": 1866.38, "word": " X", "probability": 0.70068359375}, {"start": 1866.38, "end": 1866.96, "word": " تلاتة", "probability": 0.9320068359375}, {"start": 1866.96, "end": 1867.48, "word": " بيصير", "probability": 0.81512451171875}, {"start": 1867.48, "end": 1867.86, "word": " X", "probability": 0.96337890625}, {"start": 1867.86, "end": 1868.3, "word": " أص", "probability": 0.4786376953125}, {"start": 1868.3, "end": 1868.92, "word": " أربعة", "probability": 0.72412109375}, {"start": 1868.92, "end": 1869.44, "word": " على", "probability": 0.763671875}, {"start": 1869.44, "end": 1870.2, "word": " أربعة", "probability": 0.90380859375}, {"start": 1870.2, "end": 1870.42, "word": " في", "probability": 0.81884765625}, {"start": 1870.42, "end": 1870.98, "word": " تلاتة", "probability": 0.983642578125}, {"start": 1870.98, "end": 1871.76, "word": " factorial", "probability": 0.7314453125}, {"start": 1871.76, "end": 1872.66, "word": " كما", "probability": 0.973876953125}, {"start": 1872.66, "end": 1873.1, "word": " هي", "probability": 0.94921875}, {"start": 1873.1, "end": 1874.12, "word": " زيد", "probability": 0.7076416015625}, {"start": 1874.12, "end": 1874.6, "word": " X", "probability": 0.97119140625}, {"start": 1874.6, "end": 1875.24, "word": " أص", "probability": 0.8701171875}, {"start": 1875.24, "end": 1875.78, "word": " N", "probability": 0.8046875}, {"start": 1875.78, "end": 1876.56, "word": " plus", "probability": 0.61279296875}, {"start": 1876.56, "end": 1877.12, "word": " one", "probability": 0.87109375}, {"start": 1877.12, "end": 1877.96, "word": " على", "probability": 0.8330078125}, {"start": 1877.96, "end": 1878.44, "word": " N", "probability": 0.95703125}, {"start": 1878.44, "end": 1879.08, "word": " plus", "probability": 0.9638671875}, {"start": 1879.08, "end": 1879.54, "word": " one", "probability": 0.95263671875}, {"start": 1879.54, "end": 1879.78, "word": " في", "probability": 0.92822265625}, {"start": 1879.78, "end": 1880.0, "word": " ال", "probability": 0.93310546875}, {"start": 1880.0, "end": 1880.28, "word": " N", "probability": 0.92529296875}, {"start": 1880.28, "end": 1881.16, "word": " factorial", "probability": 0.83056640625}, {"start": 1881.16, "end": 1882.14, "word": " زيد", "probability": 0.72265625}, {"start": 1882.14, "end": 1882.52, "word": " إلى", "probability": 0.75}, {"start": 1882.52, "end": 1883.44, "word": " آخرى", "probability": 0.74951171875}, {"start": 1883.44, "end": 1884.4, "word": " وهذه", "probability": 0.69482421875}, {"start": 1884.4, "end": 1885.06, "word": " بيجيها", "probability": 0.769287109375}, {"start": 1885.06, "end": 1885.42, "word": " كمان", "probability": 0.9431966145833334}, {"start": 1885.42, "end": 1885.88, "word": " جداش", "probability": 0.7892252604166666}, {"start": 1885.88, "end": 1886.0, "word": " يا", "probability": 0.92041015625}, {"start": 1886.0, "end": 1886.62, "word": " شباب", "probability": 0.9894205729166666}], "temperature": 1.0}, {"id": 79, "seek": 191186, "start": 1888.7, "end": 1911.86, "text": "كنوس فانتبه عدت كامة فهذه بدات ساوية طلعليه كويس هنا ه هذه X هذه X تربيع اتنين هذه مش هبقى اقارب اتنين في واحد يعني اتنين factorial يبقى اتنين factorial وهذه واحد تاني واحد factorial", "tokens": [19452, 41779, 6156, 7649, 2655, 3555, 3224, 6225, 3215, 2655, 9122, 10943, 3660, 6156, 3224, 24192, 47525, 9307, 8608, 995, 2407, 10632, 23032, 1211, 3615, 20292, 3224, 9122, 45865, 3794, 34105, 8032, 29538, 1783, 29538, 1783, 6055, 2288, 21292, 3615, 1975, 2655, 1863, 9957, 29538, 37893, 8032, 3555, 4587, 7578, 1975, 4587, 9640, 3555, 1975, 2655, 1863, 9957, 8978, 36764, 24401, 37495, 22653, 1975, 2655, 1863, 9957, 36916, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 36916, 37037, 24192, 36764, 24401, 6055, 7649, 1829, 36764, 24401, 36916], "avg_logprob": -0.3604403507303108, "compression_ratio": 1.8466257668711656, "no_speech_prob": 0.0, "words": [{"start": 1888.7, "end": 1889.22, "word": "كنوس", "probability": 0.205535888671875}, {"start": 1889.22, "end": 1889.84, "word": " فانتبه", "probability": 0.761328125}, {"start": 1889.84, "end": 1890.22, "word": " عدت", "probability": 0.5133463541666666}, {"start": 1890.22, "end": 1890.92, "word": " كامة", "probability": 0.5873209635416666}, {"start": 1890.92, "end": 1893.14, "word": " فهذه", "probability": 0.6355794270833334}, {"start": 1893.14, "end": 1893.64, "word": " بدات", "probability": 0.49169921875}, {"start": 1893.64, "end": 1895.06, "word": " ساوية", "probability": 0.622039794921875}, {"start": 1895.06, "end": 1896.04, "word": " طلعليه", "probability": 0.62548828125}, {"start": 1896.04, "end": 1896.4, "word": " كويس", "probability": 0.9305013020833334}, {"start": 1896.4, "end": 1896.96, "word": " هنا", "probability": 0.9345703125}, {"start": 1896.96, "end": 1897.44, "word": " ه", "probability": 0.615234375}, {"start": 1897.44, "end": 1898.34, "word": " هذه", "probability": 0.189453125}, {"start": 1898.34, "end": 1898.78, "word": " X", "probability": 0.4951171875}, {"start": 1898.78, "end": 1899.66, "word": " هذه", "probability": 0.32373046875}, {"start": 1899.66, "end": 1900.0, "word": " X", "probability": 0.943359375}, {"start": 1900.0, "end": 1900.58, "word": " تربيع", "probability": 0.80804443359375}, {"start": 1900.58, "end": 1901.38, "word": " اتنين", "probability": 0.9232177734375}, {"start": 1901.38, "end": 1901.68, "word": " هذه", "probability": 0.74169921875}, {"start": 1901.68, "end": 1901.88, "word": " مش", "probability": 0.96875}, {"start": 1901.88, "end": 1902.1, "word": " هبقى", "probability": 0.8131103515625}, {"start": 1902.1, "end": 1902.28, "word": " اقارب", "probability": 0.424407958984375}, {"start": 1902.28, "end": 1902.74, "word": " اتنين", "probability": 0.8851318359375}, {"start": 1902.74, "end": 1902.88, "word": " في", "probability": 0.923828125}, {"start": 1902.88, "end": 1903.4, "word": " واحد", "probability": 0.992919921875}, {"start": 1903.4, "end": 1904.46, "word": " يعني", "probability": 0.835693359375}, {"start": 1904.46, "end": 1905.28, "word": " اتنين", "probability": 0.9798583984375}, {"start": 1905.28, "end": 1906.28, "word": " factorial", "probability": 0.8173828125}, {"start": 1906.28, "end": 1907.4, "word": " يبقى", "probability": 0.9613037109375}, {"start": 1907.4, "end": 1908.06, "word": " اتنين", "probability": 0.9864501953125}, {"start": 1908.06, "end": 1908.92, "word": " factorial", "probability": 0.9267578125}, {"start": 1908.92, "end": 1909.72, "word": " وهذه", "probability": 0.837158203125}, {"start": 1909.72, "end": 1910.18, "word": " واحد", "probability": 0.91015625}, {"start": 1910.18, "end": 1910.68, "word": " تاني", "probability": 0.8357747395833334}, {"start": 1910.68, "end": 1911.14, "word": " واحد", "probability": 0.98291015625}, {"start": 1911.14, "end": 1911.86, "word": " factorial", "probability": 0.8251953125}], "temperature": 1.0}, {"id": 80, "seek": 194001, "start": 1912.31, "end": 1940.01, "text": "وهذه x تكييب تلاتة في اتنين factorial يعني تلاتة factorial x أُص أربعة أربعة في تلاتة factorial تعني أربعة factorial زائد هذه كمان بنفس الطريقة xn زائد واحد على n زائد واحد اللي هو factorial زائد الآخرى زائد constant C", "tokens": [2407, 3224, 24192, 2031, 6055, 4117, 1829, 1829, 3555, 6055, 1211, 9307, 3660, 8978, 1975, 2655, 1863, 9957, 36916, 37495, 22653, 6055, 1211, 9307, 3660, 36916, 2031, 5551, 10859, 9381, 5551, 25513, 27884, 5551, 25513, 27884, 8978, 6055, 1211, 9307, 3660, 36916, 37279, 22653, 5551, 25513, 27884, 36916, 30767, 16373, 3215, 29538, 9122, 2304, 7649, 44945, 36178, 41950, 16572, 28671, 2031, 77, 30767, 16373, 3215, 36764, 24401, 15844, 297, 30767, 16373, 3215, 36764, 24401, 13672, 1829, 31439, 36916, 30767, 16373, 3215, 6024, 95, 34740, 7578, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.2072458755184006, "compression_ratio": 1.9204545454545454, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1912.31, "end": 1912.85, "word": "وهذه", "probability": 0.60107421875}, {"start": 1912.85, "end": 1913.15, "word": " x", "probability": 0.44921875}, {"start": 1913.15, "end": 1914.07, "word": " تكييب", "probability": 0.823876953125}, {"start": 1914.07, "end": 1915.15, "word": " تلاتة", "probability": 0.8006591796875}, {"start": 1915.15, "end": 1915.33, "word": " في", "probability": 0.56103515625}, {"start": 1915.33, "end": 1915.71, "word": " اتنين", "probability": 0.935791015625}, {"start": 1915.71, "end": 1916.33, "word": " factorial", "probability": 0.611328125}, {"start": 1916.33, "end": 1916.91, "word": " يعني", "probability": 0.8525390625}, {"start": 1916.91, "end": 1917.83, "word": " تلاتة", "probability": 0.975830078125}, {"start": 1917.83, "end": 1918.65, "word": " factorial", "probability": 0.80908203125}, {"start": 1918.65, "end": 1919.49, "word": " x", "probability": 0.7158203125}, {"start": 1919.49, "end": 1919.91, "word": " أُص", "probability": 0.4696451822916667}, {"start": 1919.91, "end": 1920.45, "word": " أربعة", "probability": 0.7252604166666666}, {"start": 1920.45, "end": 1921.01, "word": " أربعة", "probability": 0.8732096354166666}, {"start": 1921.01, "end": 1921.23, "word": " في", "probability": 0.9326171875}, {"start": 1921.23, "end": 1921.81, "word": " تلاتة", "probability": 0.9864501953125}, {"start": 1921.81, "end": 1922.59, "word": " factorial", "probability": 0.8369140625}, {"start": 1922.59, "end": 1923.43, "word": " تعني", "probability": 0.838134765625}, {"start": 1923.43, "end": 1924.11, "word": " أربعة", "probability": 0.8673502604166666}, {"start": 1924.11, "end": 1925.03, "word": " factorial", "probability": 0.8134765625}, {"start": 1925.03, "end": 1926.37, "word": " زائد", "probability": 0.9187825520833334}, {"start": 1926.37, "end": 1927.13, "word": " هذه", "probability": 0.450927734375}, {"start": 1927.13, "end": 1927.63, "word": " كمان", "probability": 0.9729817708333334}, {"start": 1927.63, "end": 1928.09, "word": " بنفس", "probability": 0.9833984375}, {"start": 1928.09, "end": 1928.95, "word": " الطريقة", "probability": 0.99169921875}, {"start": 1928.95, "end": 1930.21, "word": " xn", "probability": 0.757568359375}, {"start": 1930.21, "end": 1930.83, "word": " زائد", "probability": 0.96826171875}, {"start": 1930.83, "end": 1931.33, "word": " واحد", "probability": 0.98193359375}, {"start": 1931.33, "end": 1931.65, "word": " على", "probability": 0.68310546875}, {"start": 1931.65, "end": 1932.01, "word": " n", "probability": 0.92578125}, {"start": 1932.01, "end": 1932.63, "word": " زائد", "probability": 0.9794921875}, {"start": 1932.63, "end": 1933.45, "word": " واحد", "probability": 0.989990234375}, {"start": 1933.45, "end": 1934.07, "word": " اللي", "probability": 0.807861328125}, {"start": 1934.07, "end": 1934.33, "word": " هو", "probability": 0.99365234375}, {"start": 1934.33, "end": 1935.27, "word": " factorial", "probability": 0.8935546875}, {"start": 1935.27, "end": 1936.39, "word": " زائد", "probability": 0.95849609375}, {"start": 1936.39, "end": 1937.35, "word": " الآخرى", "probability": 0.652557373046875}, {"start": 1937.35, "end": 1938.61, "word": " زائد", "probability": 0.9734700520833334}, {"start": 1938.61, "end": 1939.39, "word": " constant", "probability": 0.970703125}, {"start": 1939.39, "end": 1940.01, "word": " C", "probability": 0.50244140625}], "temperature": 1.0}, {"id": 81, "seek": 196665, "start": 1941.13, "end": 1966.65, "text": "طيب الخطة أحطها على شكل summation يبقى هذه summation لمن؟ لل x to the power n plus one على n plus one factorial من عند n تسوى أبصر جداش ل infinity هل لما نكملنا هنا ال series هذه طار أي term من الترمات؟", "tokens": [9566, 1829, 3555, 33962, 9566, 3660, 5551, 5016, 9566, 11296, 15844, 13412, 28820, 28811, 7251, 3555, 4587, 7578, 29538, 28811, 5296, 27842, 22807, 24976, 2031, 281, 264, 1347, 297, 1804, 472, 15844, 297, 1804, 472, 36916, 9154, 43242, 297, 6055, 3794, 2407, 7578, 5551, 3555, 9381, 2288, 10874, 3215, 33599, 5296, 13202, 8032, 1211, 5296, 15042, 8717, 24793, 1211, 8315, 34105, 2423, 2638, 29538, 23032, 9640, 36632, 1433, 9154, 16712, 2288, 2304, 9307, 22807], "avg_logprob": -0.2835416603088379, "compression_ratio": 1.4378109452736318, "no_speech_prob": 0.0, "words": [{"start": 1941.13, "end": 1941.43, "word": "طيب", "probability": 0.5458577473958334}, {"start": 1941.43, "end": 1942.01, "word": " الخطة", "probability": 0.7958984375}, {"start": 1942.01, "end": 1942.49, "word": " أحطها", "probability": 0.68707275390625}, {"start": 1942.49, "end": 1942.75, "word": " على", "probability": 0.92138671875}, {"start": 1942.75, "end": 1943.23, "word": " شكل", "probability": 0.968505859375}, {"start": 1943.23, "end": 1944.17, "word": " summation", "probability": 0.76611328125}, {"start": 1944.17, "end": 1945.57, "word": " يبقى", "probability": 0.927001953125}, {"start": 1945.57, "end": 1945.95, "word": " هذه", "probability": 0.56103515625}, {"start": 1945.95, "end": 1947.67, "word": " summation", "probability": 0.6259765625}, {"start": 1947.67, "end": 1948.91, "word": " لمن؟", "probability": 0.646484375}, {"start": 1948.91, "end": 1949.21, "word": " لل", "probability": 0.469970703125}, {"start": 1949.21, "end": 1949.63, "word": " x", "probability": 0.292236328125}, {"start": 1949.63, "end": 1949.89, "word": " to", "probability": 0.458740234375}, {"start": 1949.89, "end": 1950.09, "word": " the", "probability": 0.91552734375}, {"start": 1950.09, "end": 1950.55, "word": " power", "probability": 0.8916015625}, {"start": 1950.55, "end": 1950.99, "word": " n", "probability": 0.61083984375}, {"start": 1950.99, "end": 1951.45, "word": " plus", "probability": 0.68408203125}, {"start": 1951.45, "end": 1952.13, "word": " one", "probability": 0.875}, {"start": 1952.13, "end": 1952.87, "word": " على", "probability": 0.43798828125}, {"start": 1952.87, "end": 1953.29, "word": " n", "probability": 0.8369140625}, {"start": 1953.29, "end": 1953.93, "word": " plus", "probability": 0.96826171875}, {"start": 1953.93, "end": 1954.43, "word": " one", "probability": 0.95068359375}, {"start": 1954.43, "end": 1955.33, "word": " factorial", "probability": 0.6796875}, {"start": 1955.33, "end": 1956.01, "word": " من", "probability": 0.9296875}, {"start": 1956.01, "end": 1956.41, "word": " عند", "probability": 0.9619140625}, {"start": 1956.41, "end": 1956.83, "word": " n", "probability": 0.783203125}, {"start": 1956.83, "end": 1957.37, "word": " تسوى", "probability": 0.860595703125}, {"start": 1957.37, "end": 1957.81, "word": " أبصر", "probability": 0.8602294921875}, {"start": 1957.81, "end": 1958.35, "word": " جداش", "probability": 0.7731119791666666}, {"start": 1958.35, "end": 1958.55, "word": " ل", "probability": 0.91064453125}, {"start": 1958.55, "end": 1959.55, "word": " infinity", "probability": 0.4326171875}, {"start": 1959.55, "end": 1961.49, "word": " هل", "probability": 0.941162109375}, {"start": 1961.49, "end": 1961.77, "word": " لما", "probability": 0.917236328125}, {"start": 1961.77, "end": 1962.73, "word": " نكملنا", "probability": 0.7442626953125}, {"start": 1962.73, "end": 1962.99, "word": " هنا", "probability": 0.81396484375}, {"start": 1962.99, "end": 1963.21, "word": " ال", "probability": 0.78369140625}, {"start": 1963.21, "end": 1963.59, "word": " series", "probability": 0.93359375}, {"start": 1963.59, "end": 1964.03, "word": " هذه", "probability": 0.5810546875}, {"start": 1964.03, "end": 1964.87, "word": " طار", "probability": 0.875732421875}, {"start": 1964.87, "end": 1965.33, "word": " أي", "probability": 0.64794921875}, {"start": 1965.33, "end": 1965.63, "word": " term", "probability": 0.958984375}, {"start": 1965.63, "end": 1965.83, "word": " من", "probability": 0.9951171875}, {"start": 1965.83, "end": 1966.65, "word": " الترمات؟", "probability": 0.794873046875}], "temperature": 1.0}, {"id": 82, "seek": 199022, "start": 1967.2, "end": 1990.22, "text": "لا كله ظلم زي ما هو إذا ال index اللي تحت ال summation بتغير والله بيبقى كما هو يبقى كما هو كما ذكرنا في الجزء النظري قبل قليل يبقى بدء ظلم عند n تساوي zero إلى infinity طيب زاد ال constant C", "tokens": [15040, 28242, 3224, 1357, 116, 19528, 30767, 1829, 19446, 31439, 11933, 15730, 2423, 8186, 13672, 1829, 6055, 33753, 2423, 28811, 39894, 17082, 13546, 16070, 43761, 4724, 1829, 3555, 4587, 7578, 9122, 15042, 31439, 7251, 3555, 4587, 7578, 9122, 15042, 31439, 9122, 15042, 29910, 37983, 8315, 8978, 25724, 11622, 38207, 28239, 19913, 16572, 12174, 36150, 12174, 20292, 1211, 7251, 3555, 4587, 7578, 47525, 38207, 1357, 116, 19528, 43242, 297, 6055, 3794, 995, 45865, 4018, 30731, 13202, 23032, 1829, 3555, 30767, 18513, 2423, 5754, 383], "avg_logprob": -0.21019345628363745, "compression_ratio": 1.5482233502538072, "no_speech_prob": 0.0, "words": [{"start": 1967.2, "end": 1967.7, "word": "لا", "probability": 0.458984375}, {"start": 1967.7, "end": 1968.24, "word": " كله", "probability": 0.72802734375}, {"start": 1968.24, "end": 1968.46, "word": " ظلم", "probability": 0.6983235677083334}, {"start": 1968.46, "end": 1968.8, "word": " زي", "probability": 0.682861328125}, {"start": 1968.8, "end": 1969.0, "word": " ما", "probability": 0.9443359375}, {"start": 1969.0, "end": 1969.22, "word": " هو", "probability": 0.98974609375}, {"start": 1969.22, "end": 1969.8, "word": " إذا", "probability": 0.58294677734375}, {"start": 1969.8, "end": 1970.44, "word": " ال", "probability": 0.66748046875}, {"start": 1970.44, "end": 1970.92, "word": " index", "probability": 0.69970703125}, {"start": 1970.92, "end": 1971.16, "word": " اللي", "probability": 0.598388671875}, {"start": 1971.16, "end": 1971.44, "word": " تحت", "probability": 0.98095703125}, {"start": 1971.44, "end": 1971.6, "word": " ال", "probability": 0.52001953125}, {"start": 1971.6, "end": 1972.0, "word": " summation", "probability": 0.9072265625}, {"start": 1972.0, "end": 1972.74, "word": " بتغير", "probability": 0.9388020833333334}, {"start": 1972.74, "end": 1973.3, "word": " والله", "probability": 0.66552734375}, {"start": 1973.3, "end": 1973.76, "word": " بيبقى", "probability": 0.98017578125}, {"start": 1973.76, "end": 1974.08, "word": " كما", "probability": 0.945556640625}, {"start": 1974.08, "end": 1974.48, "word": " هو", "probability": 0.994140625}, {"start": 1974.48, "end": 1975.96, "word": " يبقى", "probability": 0.885009765625}, {"start": 1975.96, "end": 1976.36, "word": " كما", "probability": 0.982177734375}, {"start": 1976.36, "end": 1976.64, "word": " هو", "probability": 0.9951171875}, {"start": 1976.64, "end": 1977.08, "word": " كما", "probability": 0.9716796875}, {"start": 1977.08, "end": 1977.72, "word": " ذكرنا", "probability": 0.98876953125}, {"start": 1977.72, "end": 1977.9, "word": " في", "probability": 0.9765625}, {"start": 1977.9, "end": 1978.56, "word": " الجزء", "probability": 0.9625651041666666}, {"start": 1978.56, "end": 1979.62, "word": " النظري", "probability": 0.7662760416666666}, {"start": 1979.62, "end": 1980.22, "word": " قبل", "probability": 0.99462890625}, {"start": 1980.22, "end": 1980.96, "word": " قليل", "probability": 0.9900716145833334}, {"start": 1980.96, "end": 1981.78, "word": " يبقى", "probability": 0.9661865234375}, {"start": 1981.78, "end": 1982.1, "word": " بدء", "probability": 0.5426025390625}, {"start": 1982.1, "end": 1982.44, "word": " ظلم", "probability": 0.9384765625}, {"start": 1982.44, "end": 1982.82, "word": " عند", "probability": 0.98193359375}, {"start": 1982.82, "end": 1983.32, "word": " n", "probability": 0.479248046875}, {"start": 1983.32, "end": 1984.0, "word": " تساوي", "probability": 0.8944091796875}, {"start": 1984.0, "end": 1984.6, "word": " zero", "probability": 0.513671875}, {"start": 1984.6, "end": 1985.22, "word": " إلى", "probability": 0.81640625}, {"start": 1985.22, "end": 1986.46, "word": " infinity", "probability": 0.7451171875}, {"start": 1986.46, "end": 1988.36, "word": " طيب", "probability": 0.83203125}, {"start": 1988.36, "end": 1988.96, "word": " زاد", "probability": 0.810546875}, {"start": 1988.96, "end": 1989.16, "word": " ال", "probability": 0.95166015625}, {"start": 1989.16, "end": 1989.66, "word": " constant", "probability": 0.94091796875}, {"start": 1989.66, "end": 1990.22, "word": " C", "probability": 0.47509765625}], "temperature": 1.0}, {"id": 83, "seek": 201669, "start": 1993.47, "end": 2016.69, "text": "خلّيني اضغط و اقول C1 C1 C1 مثلا هل هذا شكل ال E و S X؟ طبعا لأ هذي بده تبقى X أس N و هذي N factorial بسيطة الشغلة في دينها إذا بدي أشيل كل N و أكتب مكانها", "tokens": [9778, 1211, 11703, 9957, 1829, 1975, 11242, 17082, 9566, 4032, 1975, 39648, 383, 16, 383, 16, 383, 16, 50113, 15040, 8032, 1211, 23758, 13412, 28820, 2423, 462, 4032, 318, 1783, 22807, 23032, 3555, 3615, 995, 5296, 10721, 8032, 8848, 1829, 47525, 3224, 6055, 3555, 4587, 7578, 1783, 5551, 3794, 426, 4032, 8032, 8848, 1829, 426, 36916, 4724, 3794, 1829, 9566, 3660, 25124, 17082, 37977, 8978, 11778, 9957, 11296, 11933, 15730, 4724, 16254, 5551, 8592, 26895, 28242, 426, 4032, 5551, 4117, 2655, 3555, 3714, 41361, 11296], "avg_logprob": -0.357013083128042, "compression_ratio": 1.3833333333333333, "no_speech_prob": 0.0, "words": [{"start": 1993.47, "end": 1994.31, "word": "خلّيني", "probability": 0.74931640625}, {"start": 1994.31, "end": 1994.85, "word": " اضغط", "probability": 0.556243896484375}, {"start": 1994.85, "end": 1995.09, "word": " و", "probability": 0.24658203125}, {"start": 1995.09, "end": 1995.29, "word": " اقول", "probability": 0.78173828125}, {"start": 1995.29, "end": 1996.37, "word": " C1", "probability": 0.61279296875}, {"start": 1996.37, "end": 1997.73, "word": " C1", "probability": 0.75390625}, {"start": 1997.73, "end": 1998.69, "word": " C1", "probability": 0.93798828125}, {"start": 1998.69, "end": 2000.15, "word": " مثلا", "probability": 0.84765625}, {"start": 2000.15, "end": 2002.29, "word": " هل", "probability": 0.876220703125}, {"start": 2002.29, "end": 2002.69, "word": " هذا", "probability": 0.93212890625}, {"start": 2002.69, "end": 2003.41, "word": " شكل", "probability": 0.9521484375}, {"start": 2003.41, "end": 2003.87, "word": " ال", "probability": 0.381103515625}, {"start": 2003.87, "end": 2004.13, "word": " E", "probability": 0.76171875}, {"start": 2004.13, "end": 2004.31, "word": " و", "probability": 0.123046875}, {"start": 2004.31, "end": 2004.41, "word": " S", "probability": 0.16455078125}, {"start": 2004.41, "end": 2005.19, "word": " X؟", "probability": 0.4744873046875}, {"start": 2005.19, "end": 2006.05, "word": " طبعا", "probability": 0.9493408203125}, {"start": 2006.05, "end": 2006.35, "word": " لأ", "probability": 0.658447265625}, {"start": 2006.35, "end": 2007.35, "word": " هذي", "probability": 0.4186604817708333}, {"start": 2007.35, "end": 2007.65, "word": " بده", "probability": 0.45361328125}, {"start": 2007.65, "end": 2008.13, "word": " تبقى", "probability": 0.9337158203125}, {"start": 2008.13, "end": 2008.51, "word": " X", "probability": 0.95849609375}, {"start": 2008.51, "end": 2008.85, "word": " أس", "probability": 0.69580078125}, {"start": 2008.85, "end": 2009.15, "word": " N", "probability": 0.69140625}, {"start": 2009.15, "end": 2009.31, "word": " و", "probability": 0.7529296875}, {"start": 2009.31, "end": 2009.75, "word": " هذي", "probability": 0.8671875}, {"start": 2009.75, "end": 2010.13, "word": " N", "probability": 0.87353515625}, {"start": 2010.13, "end": 2011.07, "word": " factorial", "probability": 0.358642578125}, {"start": 2011.07, "end": 2012.27, "word": " بسيطة", "probability": 0.94794921875}, {"start": 2012.27, "end": 2012.65, "word": " الشغلة", "probability": 0.7355143229166666}, {"start": 2012.65, "end": 2012.89, "word": " في", "probability": 0.5517578125}, {"start": 2012.89, "end": 2013.29, "word": " دينها", "probability": 0.7639973958333334}, {"start": 2013.29, "end": 2013.83, "word": " إذا", "probability": 0.6304931640625}, {"start": 2013.83, "end": 2014.19, "word": " بدي", "probability": 0.80078125}, {"start": 2014.19, "end": 2014.87, "word": " أشيل", "probability": 0.90771484375}, {"start": 2014.87, "end": 2015.31, "word": " كل", "probability": 0.95947265625}, {"start": 2015.31, "end": 2015.61, "word": " N", "probability": 0.73974609375}, {"start": 2015.61, "end": 2015.87, "word": " و", "probability": 0.958984375}, {"start": 2015.87, "end": 2016.05, "word": " أكتب", "probability": 0.9306640625}, {"start": 2016.05, "end": 2016.69, "word": " مكانها", "probability": 0.9921875}], "temperature": 1.0}, {"id": 84, "seek": 204629, "start": 2017.27, "end": 2046.29, "text": "ن ناقص واحد يبقى هذا الكلام يساوي ال summation ن ناقص واحد تساوي zero الى infinity لل X أس N ناقص واحد زائد واحد على N ناقص واحد زائد واحد كله factorial ويساوي ال summation من N equal one to infinity لل X أس N على N factorial", "tokens": [1863, 8717, 995, 4587, 9381, 36764, 24401, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 2423, 28811, 8717, 8717, 995, 4587, 9381, 36764, 24401, 6055, 3794, 995, 45865, 4018, 2423, 7578, 13202, 24976, 1783, 5551, 3794, 426, 8717, 995, 4587, 9381, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 15844, 426, 8717, 995, 4587, 9381, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 28242, 3224, 36916, 4032, 1829, 3794, 995, 45865, 2423, 28811, 9154, 426, 2681, 472, 281, 13202, 24976, 1783, 5551, 3794, 426, 15844, 426, 36916], "avg_logprob": -0.20902777214845022, "compression_ratio": 1.9879518072289157, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 2017.27, "end": 2017.59, "word": "ن", "probability": 0.09735107421875}, {"start": 2017.59, "end": 2018.21, "word": " ناقص", "probability": 0.9078369140625}, {"start": 2018.21, "end": 2018.63, "word": " واحد", "probability": 0.97998046875}, {"start": 2018.63, "end": 2019.39, "word": " يبقى", "probability": 0.8582763671875}, {"start": 2019.39, "end": 2019.67, "word": " هذا", "probability": 0.86669921875}, {"start": 2019.67, "end": 2020.19, "word": " الكلام", "probability": 0.9339192708333334}, {"start": 2020.19, "end": 2021.23, "word": " يساوي", "probability": 0.57769775390625}, {"start": 2021.23, "end": 2021.49, "word": " ال", "probability": 0.364990234375}, {"start": 2021.49, "end": 2022.51, "word": " summation", "probability": 0.63427734375}, {"start": 2022.51, "end": 2023.53, "word": " ن", "probability": 0.228515625}, {"start": 2023.53, "end": 2024.11, "word": " ناقص", "probability": 0.98095703125}, {"start": 2024.11, "end": 2024.51, "word": " واحد", "probability": 0.990234375}, {"start": 2024.51, "end": 2025.15, "word": " تساوي", "probability": 0.94921875}, {"start": 2025.15, "end": 2025.57, "word": " zero", "probability": 0.24609375}, {"start": 2025.57, "end": 2026.05, "word": " الى", "probability": 0.7208251953125}, {"start": 2026.05, "end": 2026.67, "word": " infinity", "probability": 0.69873046875}, {"start": 2026.67, "end": 2027.55, "word": " لل", "probability": 0.50830078125}, {"start": 2027.55, "end": 2027.93, "word": " X", "probability": 0.4541015625}, {"start": 2027.93, "end": 2028.33, "word": " أس", "probability": 0.618896484375}, {"start": 2028.33, "end": 2028.65, "word": " N", "probability": 0.72412109375}, {"start": 2028.65, "end": 2029.27, "word": " ناقص", "probability": 0.9910888671875}, {"start": 2029.27, "end": 2029.79, "word": " واحد", "probability": 0.98876953125}, {"start": 2029.79, "end": 2030.37, "word": " زائد", "probability": 0.9029947916666666}, {"start": 2030.37, "end": 2031.01, "word": " واحد", "probability": 0.988525390625}, {"start": 2031.01, "end": 2031.75, "word": " على", "probability": 0.79150390625}, {"start": 2031.75, "end": 2032.19, "word": " N", "probability": 0.8466796875}, {"start": 2032.19, "end": 2032.89, "word": " ناقص", "probability": 0.99267578125}, {"start": 2032.89, "end": 2033.43, "word": " واحد", "probability": 0.991943359375}, {"start": 2033.43, "end": 2033.95, "word": " زائد", "probability": 0.96240234375}, {"start": 2033.95, "end": 2034.51, "word": " واحد", "probability": 0.991455078125}, {"start": 2034.51, "end": 2035.41, "word": " كله", "probability": 0.924072265625}, {"start": 2035.41, "end": 2036.11, "word": " factorial", "probability": 0.755859375}, {"start": 2036.11, "end": 2037.37, "word": " ويساوي", "probability": 0.8876953125}, {"start": 2037.37, "end": 2037.55, "word": " ال", "probability": 0.91015625}, {"start": 2037.55, "end": 2038.35, "word": " summation", "probability": 0.96044921875}, {"start": 2038.35, "end": 2039.21, "word": " من", "probability": 0.9677734375}, {"start": 2039.21, "end": 2039.55, "word": " N", "probability": 0.7900390625}, {"start": 2039.55, "end": 2040.01, "word": " equal", "probability": 0.74609375}, {"start": 2040.01, "end": 2040.39, "word": " one", "probability": 0.89697265625}, {"start": 2040.39, "end": 2040.65, "word": " to", "probability": 0.9287109375}, {"start": 2040.65, "end": 2041.37, "word": " infinity", "probability": 0.8662109375}, {"start": 2041.37, "end": 2042.15, "word": " لل", "probability": 0.8984375}, {"start": 2042.15, "end": 2042.59, "word": " X", "probability": 0.9072265625}, {"start": 2042.59, "end": 2043.05, "word": " أس", "probability": 0.96826171875}, {"start": 2043.05, "end": 2043.51, "word": " N", "probability": 0.986328125}, {"start": 2043.51, "end": 2044.47, "word": " على", "probability": 0.83349609375}, {"start": 2044.47, "end": 2045.27, "word": " N", "probability": 0.96435546875}, {"start": 2045.27, "end": 2046.29, "word": " factorial", "probability": 0.849609375}], "temperature": 1.0}, {"id": 85, "seek": 206930, "start": 2048.94, "end": 2069.3, "text": "هل هادى يبقى .. طبعا في constant C1 يبقى هنا زائد C1 وهنا زائد C1 هل هادى هي ال exponential اللى عندنا هادى؟ لأ، من هنا بتبدأ من وين؟", "tokens": [3224, 1211, 8032, 18513, 7578, 7251, 3555, 4587, 7578, 4386, 23032, 3555, 3615, 995, 8978, 5754, 383, 16, 7251, 3555, 4587, 7578, 34105, 30767, 16373, 3215, 383, 16, 37037, 8315, 30767, 16373, 3215, 383, 16, 8032, 1211, 8032, 18513, 7578, 39896, 2423, 21510, 13672, 7578, 43242, 8315, 8032, 18513, 7578, 22807, 5296, 10721, 12399, 9154, 34105, 39894, 44510, 10721, 9154, 4032, 9957, 22807], "avg_logprob": -0.26196288876235485, "compression_ratio": 1.4551724137931035, "no_speech_prob": 0.0, "words": [{"start": 2048.94, "end": 2049.32, "word": "هل", "probability": 0.827392578125}, {"start": 2049.32, "end": 2049.7, "word": " هادى", "probability": 0.3447265625}, {"start": 2049.7, "end": 2049.86, "word": " يبقى", "probability": 0.688079833984375}, {"start": 2049.86, "end": 2049.86, "word": " ..", "probability": 0.13916015625}, {"start": 2049.86, "end": 2050.3, "word": " طبعا", "probability": 0.9578857421875}, {"start": 2050.3, "end": 2050.46, "word": " في", "probability": 0.61572265625}, {"start": 2050.46, "end": 2050.94, "word": " constant", "probability": 0.51318359375}, {"start": 2050.94, "end": 2052.14, "word": " C1", "probability": 0.736328125}, {"start": 2052.14, "end": 2053.2, "word": " يبقى", "probability": 0.9219970703125}, {"start": 2053.2, "end": 2053.56, "word": " هنا", "probability": 0.96484375}, {"start": 2053.56, "end": 2054.52, "word": " زائد", "probability": 0.65966796875}, {"start": 2054.52, "end": 2055.52, "word": " C1", "probability": 0.969970703125}, {"start": 2055.52, "end": 2056.52, "word": " وهنا", "probability": 0.840087890625}, {"start": 2056.52, "end": 2057.52, "word": " زائد", "probability": 0.9674479166666666}, {"start": 2057.52, "end": 2058.96, "word": " C1", "probability": 0.989990234375}, {"start": 2058.96, "end": 2061.88, "word": " هل", "probability": 0.6881103515625}, {"start": 2061.88, "end": 2062.98, "word": " هادى", "probability": 0.91162109375}, {"start": 2062.98, "end": 2063.52, "word": " هي", "probability": 0.7763671875}, {"start": 2063.52, "end": 2063.72, "word": " ال", "probability": 0.87548828125}, {"start": 2063.72, "end": 2064.54, "word": " exponential", "probability": 0.7255859375}, {"start": 2064.54, "end": 2065.0, "word": " اللى", "probability": 0.914794921875}, {"start": 2065.0, "end": 2065.48, "word": " عندنا", "probability": 0.98779296875}, {"start": 2065.48, "end": 2066.16, "word": " هادى؟", "probability": 0.812744140625}, {"start": 2066.16, "end": 2067.5, "word": " لأ،", "probability": 0.715087890625}, {"start": 2067.5, "end": 2067.68, "word": " من", "probability": 0.962890625}, {"start": 2067.68, "end": 2068.0, "word": " هنا", "probability": 0.95068359375}, {"start": 2068.0, "end": 2068.46, "word": " بتبدأ", "probability": 0.8216145833333334}, {"start": 2068.46, "end": 2068.6, "word": " من", "probability": 0.978515625}, {"start": 2068.6, "end": 2069.3, "word": " وين؟", "probability": 0.9580078125}], "temperature": 1.0}, {"id": 86, "seek": 209311, "start": 2069.75, "end": 2093.11, "text": "من اين دي Zero؟ من هنا بتبدأ من وين؟ بدنا حل هالمشكلة هذه وديها بالك بدك تحل وتحافظ على المكتسبات الوطنية اللي عندك هذه اللي حصلت عليها تلعبش يضيعاش ودبر حالك بأي طريقة رياضية سليمة اقترح ان احنا في أي حد", "tokens": [27842, 1975, 9957, 11778, 1829, 17182, 22807, 9154, 34105, 39894, 44510, 10721, 9154, 4032, 9957, 22807, 47525, 8315, 11331, 1211, 8032, 6027, 2304, 8592, 28820, 3660, 29538, 4032, 16254, 11296, 20666, 4117, 47525, 4117, 6055, 5016, 1211, 34683, 5016, 31845, 19913, 15844, 9673, 4117, 2655, 35457, 9307, 2423, 2407, 9566, 1863, 10632, 13672, 1829, 43242, 4117, 29538, 13672, 1829, 11331, 36520, 2655, 25894, 11296, 6055, 1211, 3615, 3555, 8592, 7251, 11242, 40228, 33599, 4032, 3215, 26890, 11331, 6027, 4117, 4724, 10721, 1829, 23032, 16572, 28671, 12602, 1829, 46958, 10632, 8608, 20292, 46007, 1975, 38149, 2288, 5016, 16472, 1975, 5016, 8315, 8978, 36632, 11331, 3215], "avg_logprob": -0.19002975622812907, "compression_ratio": 1.7843137254901962, "no_speech_prob": 0.0, "words": [{"start": 2069.75, "end": 2070.05, "word": "من", "probability": 0.7109375}, {"start": 2070.05, "end": 2070.31, "word": " اين", "probability": 0.5137786865234375}, {"start": 2070.31, "end": 2070.47, "word": " دي", "probability": 0.7529296875}, {"start": 2070.47, "end": 2070.97, "word": " Zero؟", "probability": 0.464599609375}, {"start": 2070.97, "end": 2071.09, "word": " من", "probability": 0.9345703125}, {"start": 2071.09, "end": 2071.41, "word": " هنا", "probability": 0.96240234375}, {"start": 2071.41, "end": 2071.83, "word": " بتبدأ", "probability": 0.85107421875}, {"start": 2071.83, "end": 2071.99, "word": " من", "probability": 0.77392578125}, {"start": 2071.99, "end": 2073.31, "word": " وين؟", "probability": 0.9397786458333334}, {"start": 2073.31, "end": 2073.77, "word": " بدنا", "probability": 0.80224609375}, {"start": 2073.77, "end": 2074.11, "word": " حل", "probability": 0.887939453125}, {"start": 2074.11, "end": 2074.95, "word": " هالمشكلة", "probability": 0.8622233072916666}, {"start": 2074.95, "end": 2075.23, "word": " هذه", "probability": 0.3212890625}, {"start": 2075.23, "end": 2075.63, "word": " وديها", "probability": 0.7296549479166666}, {"start": 2075.63, "end": 2076.15, "word": " بالك", "probability": 0.931640625}, {"start": 2076.15, "end": 2076.91, "word": " بدك", "probability": 0.7332763671875}, {"start": 2076.91, "end": 2077.41, "word": " تحل", "probability": 0.8955078125}, {"start": 2077.41, "end": 2078.13, "word": " وتحافظ", "probability": 0.86590576171875}, {"start": 2078.13, "end": 2078.33, "word": " على", "probability": 0.8134765625}, {"start": 2078.33, "end": 2079.31, "word": " المكتسبات", "probability": 0.92841796875}, {"start": 2079.31, "end": 2080.17, "word": " الوطنية", "probability": 0.968359375}, {"start": 2080.17, "end": 2080.39, "word": " اللي", "probability": 0.907470703125}, {"start": 2080.39, "end": 2080.89, "word": " عندك", "probability": 0.98974609375}, {"start": 2080.89, "end": 2081.27, "word": " هذه", "probability": 0.6884765625}, {"start": 2081.27, "end": 2082.01, "word": " اللي", "probability": 0.937744140625}, {"start": 2082.01, "end": 2082.45, "word": " حصلت", "probability": 0.9925130208333334}, {"start": 2082.45, "end": 2082.67, "word": " عليها", "probability": 0.984375}, {"start": 2082.67, "end": 2083.23, "word": " تلعبش", "probability": 0.782421875}, {"start": 2083.23, "end": 2084.23, "word": " يضيعاش", "probability": 0.73406982421875}, {"start": 2084.23, "end": 2085.35, "word": " ودبر", "probability": 0.9026692708333334}, {"start": 2085.35, "end": 2085.89, "word": " حالك", "probability": 0.9659830729166666}, {"start": 2085.89, "end": 2086.43, "word": " بأي", "probability": 0.931640625}, {"start": 2086.43, "end": 2086.95, "word": " طريقة", "probability": 0.99169921875}, {"start": 2086.95, "end": 2087.63, "word": " رياضية", "probability": 0.989990234375}, {"start": 2087.63, "end": 2088.27, "word": " سليمة", "probability": 0.9650065104166666}, {"start": 2088.27, "end": 2089.63, "word": " اقترح", "probability": 0.926025390625}, {"start": 2089.63, "end": 2089.75, "word": " ان", "probability": 0.3046875}, {"start": 2089.75, "end": 2092.29, "word": " احنا", "probability": 0.95849609375}, {"start": 2092.29, "end": 2092.43, "word": " في", "probability": 0.96435546875}, {"start": 2092.43, "end": 2092.65, "word": " أي", "probability": 0.634765625}, {"start": 2092.65, "end": 2093.11, "word": " حد", "probability": 0.993896484375}], "temperature": 1.0}, {"id": 87, "seek": 212331, "start": 2095.87, "end": 2123.31, "text": "ممتاز انا بدي شكل يعطيني الشكل هذا يعني بنفع احذف حد من الحدود من هنا نضيف نضيف مش نحذر طب ما هو الحد اللي جاي في بالك نضيفه كلام كويس ال zero هل ال zero بيغير من هذا الشكل بيغير بس ماتحطش zero حطه بشكل اخر اللي بدك تضيفه بدك تطرحه", "tokens": [2304, 2304, 2655, 31377, 1975, 8315, 4724, 16254, 13412, 28820, 37495, 9566, 1829, 22653, 25124, 28820, 23758, 37495, 22653, 44945, 5172, 3615, 1975, 5016, 8848, 5172, 11331, 3215, 9154, 21542, 3215, 23328, 9154, 34105, 8717, 11242, 33911, 8717, 11242, 33911, 37893, 8717, 5016, 8848, 2288, 23032, 3555, 19446, 31439, 21542, 3215, 13672, 1829, 10874, 47302, 8978, 20666, 4117, 8717, 11242, 33911, 3224, 28242, 10943, 9122, 45865, 3794, 2423, 4018, 8032, 1211, 2423, 4018, 4724, 1829, 17082, 13546, 9154, 23758, 25124, 28820, 4724, 1829, 17082, 13546, 4724, 3794, 3714, 9307, 5016, 9566, 8592, 4018, 11331, 9566, 3224, 4724, 8592, 28820, 1975, 34740, 13672, 1829, 47525, 4117, 6055, 11242, 33911, 3224, 47525, 4117, 6055, 9566, 2288, 5016, 3224], "avg_logprob": -0.15785256614032975, "compression_ratio": 1.9900497512437811, "no_speech_prob": 0.0, "words": [{"start": 2095.87, "end": 2096.59, "word": "ممتاز", "probability": 0.9337158203125}, {"start": 2096.59, "end": 2096.91, "word": " انا", "probability": 0.607666015625}, {"start": 2096.91, "end": 2097.33, "word": " بدي", "probability": 0.78564453125}, {"start": 2097.33, "end": 2097.93, "word": " شكل", "probability": 0.913818359375}, {"start": 2097.93, "end": 2098.51, "word": " يعطيني", "probability": 0.77685546875}, {"start": 2098.51, "end": 2099.01, "word": " الشكل", "probability": 0.897216796875}, {"start": 2099.01, "end": 2099.47, "word": " هذا", "probability": 0.9228515625}, {"start": 2099.47, "end": 2100.13, "word": " يعني", "probability": 0.847412109375}, {"start": 2100.13, "end": 2100.85, "word": " بنفع", "probability": 0.8680013020833334}, {"start": 2100.85, "end": 2101.41, "word": " احذف", "probability": 0.910400390625}, {"start": 2101.41, "end": 2101.75, "word": " حد", "probability": 0.99365234375}, {"start": 2101.75, "end": 2101.99, "word": " من", "probability": 0.97509765625}, {"start": 2101.99, "end": 2102.55, "word": " الحدود", "probability": 0.98486328125}, {"start": 2102.55, "end": 2102.77, "word": " من", "probability": 0.96875}, {"start": 2102.77, "end": 2103.11, "word": " هنا", "probability": 0.9931640625}, {"start": 2103.11, "end": 2103.77, "word": " نضيف", "probability": 0.81298828125}, {"start": 2103.77, "end": 2105.37, "word": " نضيف", "probability": 0.661865234375}, {"start": 2105.37, "end": 2106.01, "word": " مش", "probability": 0.60400390625}, {"start": 2106.01, "end": 2106.55, "word": " نحذر", "probability": 0.861572265625}, {"start": 2106.55, "end": 2107.21, "word": " طب", "probability": 0.864013671875}, {"start": 2107.21, "end": 2107.37, "word": " ما", "probability": 0.8974609375}, {"start": 2107.37, "end": 2107.57, "word": " هو", "probability": 0.560546875}, {"start": 2107.57, "end": 2108.19, "word": " الحد", "probability": 0.989501953125}, {"start": 2108.19, "end": 2108.83, "word": " اللي", "probability": 0.90283203125}, {"start": 2108.83, "end": 2109.17, "word": " جاي", "probability": 0.91259765625}, {"start": 2109.17, "end": 2109.31, "word": " في", "probability": 0.818359375}, {"start": 2109.31, "end": 2109.77, "word": " بالك", "probability": 0.95556640625}, {"start": 2109.77, "end": 2110.41, "word": " نضيفه", "probability": 0.963134765625}, {"start": 2110.41, "end": 2111.67, "word": " كلام", "probability": 0.5859375}, {"start": 2111.67, "end": 2112.21, "word": " كويس", "probability": 0.97705078125}, {"start": 2112.21, "end": 2112.37, "word": " ال", "probability": 0.362548828125}, {"start": 2112.37, "end": 2112.71, "word": " zero", "probability": 0.53076171875}, {"start": 2112.71, "end": 2113.39, "word": " هل", "probability": 0.9482421875}, {"start": 2113.39, "end": 2113.53, "word": " ال", "probability": 0.9775390625}, {"start": 2113.53, "end": 2113.75, "word": " zero", "probability": 0.90673828125}, {"start": 2113.75, "end": 2114.29, "word": " بيغير", "probability": 0.878173828125}, {"start": 2114.29, "end": 2114.49, "word": " من", "probability": 0.9921875}, {"start": 2114.49, "end": 2114.79, "word": " هذا", "probability": 0.9267578125}, {"start": 2114.79, "end": 2115.37, "word": " الشكل", "probability": 0.986572265625}, {"start": 2115.37, "end": 2117.19, "word": " بيغير", "probability": 0.9329833984375}, {"start": 2117.19, "end": 2117.59, "word": " بس", "probability": 0.980224609375}, {"start": 2117.59, "end": 2118.53, "word": " ماتحطش", "probability": 0.88408203125}, {"start": 2118.53, "end": 2118.91, "word": " zero", "probability": 0.76416015625}, {"start": 2118.91, "end": 2119.39, "word": " حطه", "probability": 0.8818359375}, {"start": 2119.39, "end": 2119.87, "word": " بشكل", "probability": 0.97998046875}, {"start": 2119.87, "end": 2120.39, "word": " اخر", "probability": 0.84912109375}, {"start": 2120.39, "end": 2121.21, "word": " اللي", "probability": 0.97119140625}, {"start": 2121.21, "end": 2121.57, "word": " بدك", "probability": 0.88671875}, {"start": 2121.57, "end": 2122.17, "word": " تضيفه", "probability": 0.8924560546875}, {"start": 2122.17, "end": 2122.63, "word": " بدك", "probability": 0.881103515625}, {"start": 2122.63, "end": 2123.31, "word": " تطرحه", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 88, "seek": 215219, "start": 2126.95, "end": 2152.19, "text": "أنا لو روحت اضافت واحد و طرحت واحد كان ضائف كم؟ Zero لان ليش اي اشكالية بقول كويس اذا هذه بقدر اكتبها واحد زاد summation من N equal one to infinity لل X to the power N على N factorial زاد C one ناقص واحد", "tokens": [10721, 8315, 45164, 12602, 2407, 33753, 1975, 11242, 31845, 2655, 36764, 24401, 4032, 23032, 2288, 33753, 36764, 24401, 25961, 48812, 16373, 5172, 9122, 2304, 22807, 17182, 5296, 7649, 32239, 8592, 1975, 1829, 1975, 8592, 4117, 6027, 10632, 4724, 39648, 9122, 45865, 3794, 1975, 15730, 29538, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 36764, 24401, 30767, 18513, 28811, 9154, 426, 2681, 472, 281, 13202, 24976, 1783, 281, 264, 1347, 426, 15844, 426, 36916, 30767, 18513, 383, 472, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.3577008893092473, "compression_ratio": 1.4339622641509433, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2126.95, "end": 2127.91, "word": "أنا", "probability": 0.225067138671875}, {"start": 2127.91, "end": 2128.15, "word": " لو", "probability": 0.8046875}, {"start": 2128.15, "end": 2128.49, "word": " روحت", "probability": 0.5724283854166666}, {"start": 2128.49, "end": 2129.19, "word": " اضافت", "probability": 0.680908203125}, {"start": 2129.19, "end": 2129.59, "word": " واحد", "probability": 0.973388671875}, {"start": 2129.59, "end": 2129.73, "word": " و", "probability": 0.873046875}, {"start": 2129.73, "end": 2130.25, "word": " طرحت", "probability": 0.768310546875}, {"start": 2130.25, "end": 2130.77, "word": " واحد", "probability": 0.98681640625}, {"start": 2130.77, "end": 2131.21, "word": " كان", "probability": 0.46728515625}, {"start": 2131.21, "end": 2131.57, "word": " ضائف", "probability": 0.6905924479166666}, {"start": 2131.57, "end": 2132.37, "word": " كم؟", "probability": 0.6251627604166666}, {"start": 2132.37, "end": 2133.89, "word": " Zero", "probability": 0.47021484375}, {"start": 2133.89, "end": 2134.55, "word": " لان", "probability": 0.3697509765625}, {"start": 2134.55, "end": 2135.03, "word": " ليش", "probability": 0.34912109375}, {"start": 2135.03, "end": 2135.37, "word": " اي", "probability": 0.821044921875}, {"start": 2135.37, "end": 2136.17, "word": " اشكالية", "probability": 0.8640625}, {"start": 2136.17, "end": 2136.91, "word": " بقول", "probability": 0.875}, {"start": 2136.91, "end": 2137.59, "word": " كويس", "probability": 0.8416341145833334}, {"start": 2137.59, "end": 2137.95, "word": " اذا", "probability": 0.70751953125}, {"start": 2137.95, "end": 2138.43, "word": " هذه", "probability": 0.54345703125}, {"start": 2138.43, "end": 2139.05, "word": " بقدر", "probability": 0.8058268229166666}, {"start": 2139.05, "end": 2139.77, "word": " اكتبها", "probability": 0.9546875}, {"start": 2139.77, "end": 2140.51, "word": " واحد", "probability": 0.932861328125}, {"start": 2140.51, "end": 2141.31, "word": " زاد", "probability": 0.71435546875}, {"start": 2141.31, "end": 2142.11, "word": " summation", "probability": 0.77294921875}, {"start": 2142.11, "end": 2142.57, "word": " من", "probability": 0.91455078125}, {"start": 2142.57, "end": 2142.87, "word": " N", "probability": 0.401123046875}, {"start": 2142.87, "end": 2143.29, "word": " equal", "probability": 0.2139892578125}, {"start": 2143.29, "end": 2143.69, "word": " one", "probability": 0.7900390625}, {"start": 2143.69, "end": 2143.95, "word": " to", "probability": 0.89306640625}, {"start": 2143.95, "end": 2144.75, "word": " infinity", "probability": 0.81982421875}, {"start": 2144.75, "end": 2145.53, "word": " لل", "probability": 0.62353515625}, {"start": 2145.53, "end": 2145.85, "word": " X", "probability": 0.7255859375}, {"start": 2145.85, "end": 2146.09, "word": " to", "probability": 0.9208984375}, {"start": 2146.09, "end": 2146.27, "word": " the", "probability": 0.89697265625}, {"start": 2146.27, "end": 2146.67, "word": " power", "probability": 0.87109375}, {"start": 2146.67, "end": 2147.13, "word": " N", "probability": 0.81640625}, {"start": 2147.13, "end": 2147.53, "word": " على", "probability": 0.6884765625}, {"start": 2147.53, "end": 2148.09, "word": " N", "probability": 0.8916015625}, {"start": 2148.09, "end": 2149.01, "word": " factorial", "probability": 0.74267578125}, {"start": 2149.01, "end": 2150.39, "word": " زاد", "probability": 0.908935546875}, {"start": 2150.39, "end": 2150.77, "word": " C", "probability": 0.755859375}, {"start": 2150.77, "end": 2151.17, "word": " one", "probability": 0.2900390625}, {"start": 2151.17, "end": 2151.77, "word": " ناقص", "probability": 0.8841552734375}, {"start": 2151.77, "end": 2152.19, "word": " واحد", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 89, "seek": 218051, "start": 2153.25, "end": 2180.51, "text": "يبقى اضافت واحد واطرحت واحد كأنه ضايف Zero كمقترحة أحدكم لكن ال Zero حطيت واحد وسلب واحد طيب شوف لهذا شو بيساوي هذا summation من N equal zero to infinity لل X to the power N على N factorial هذا الجزء يعني هذا صحيح", "tokens": [1829, 3555, 4587, 7578, 1975, 11242, 31845, 2655, 36764, 24401, 4032, 41193, 2288, 33753, 36764, 24401, 9122, 33456, 3224, 48812, 995, 33911, 17182, 9122, 2304, 38149, 2288, 5016, 3660, 5551, 24401, 24793, 44381, 2423, 17182, 11331, 9566, 36081, 36764, 24401, 46952, 46152, 36764, 24401, 23032, 1829, 3555, 13412, 38688, 46740, 15730, 13412, 2407, 4724, 1829, 3794, 995, 45865, 23758, 28811, 9154, 426, 2681, 4018, 281, 13202, 24976, 1783, 281, 264, 1347, 426, 15844, 426, 36916, 23758, 25724, 11622, 38207, 37495, 22653, 23758, 20328, 5016, 1829, 5016], "avg_logprob": -0.20689654727091736, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 2153.25, "end": 2153.83, "word": "يبقى", "probability": 0.76971435546875}, {"start": 2153.83, "end": 2154.49, "word": " اضافت", "probability": 0.73846435546875}, {"start": 2154.49, "end": 2154.99, "word": " واحد", "probability": 0.98486328125}, {"start": 2154.99, "end": 2155.63, "word": " واطرحت", "probability": 0.787841796875}, {"start": 2155.63, "end": 2156.01, "word": " واحد", "probability": 0.899658203125}, {"start": 2156.01, "end": 2156.49, "word": " كأنه", "probability": 0.9270833333333334}, {"start": 2156.49, "end": 2157.01, "word": " ضايف", "probability": 0.7801920572916666}, {"start": 2157.01, "end": 2157.39, "word": " Zero", "probability": 0.2176513671875}, {"start": 2157.39, "end": 2158.69, "word": " كمقترحة", "probability": 0.8805338541666666}, {"start": 2158.69, "end": 2160.03, "word": " أحدكم", "probability": 0.85693359375}, {"start": 2160.03, "end": 2160.79, "word": " لكن", "probability": 0.666015625}, {"start": 2160.79, "end": 2161.05, "word": " ال", "probability": 0.59765625}, {"start": 2161.05, "end": 2161.27, "word": " Zero", "probability": 0.5625}, {"start": 2161.27, "end": 2161.89, "word": " حطيت", "probability": 0.8714192708333334}, {"start": 2161.89, "end": 2162.35, "word": " واحد", "probability": 0.977783203125}, {"start": 2162.35, "end": 2162.87, "word": " وسلب", "probability": 0.6470947265625}, {"start": 2162.87, "end": 2163.35, "word": " واحد", "probability": 0.986083984375}, {"start": 2163.35, "end": 2164.19, "word": " طيب", "probability": 0.9347330729166666}, {"start": 2164.19, "end": 2164.55, "word": " شوف", "probability": 0.96435546875}, {"start": 2164.55, "end": 2165.27, "word": " لهذا", "probability": 0.90185546875}, {"start": 2165.27, "end": 2166.05, "word": " شو", "probability": 0.815185546875}, {"start": 2166.05, "end": 2166.79, "word": " بيساوي", "probability": 0.93642578125}, {"start": 2166.79, "end": 2167.57, "word": " هذا", "probability": 0.91162109375}, {"start": 2167.57, "end": 2168.43, "word": " summation", "probability": 0.66650390625}, {"start": 2168.43, "end": 2169.69, "word": " من", "probability": 0.94970703125}, {"start": 2169.69, "end": 2170.01, "word": " N", "probability": 0.6240234375}, {"start": 2170.01, "end": 2170.55, "word": " equal", "probability": 0.42919921875}, {"start": 2170.55, "end": 2171.19, "word": " zero", "probability": 0.4716796875}, {"start": 2171.19, "end": 2171.47, "word": " to", "probability": 0.9677734375}, {"start": 2171.47, "end": 2172.25, "word": " infinity", "probability": 0.85546875}, {"start": 2172.25, "end": 2173.01, "word": " لل", "probability": 0.708984375}, {"start": 2173.01, "end": 2173.41, "word": " X", "probability": 0.72509765625}, {"start": 2173.41, "end": 2173.67, "word": " to", "probability": 0.93408203125}, {"start": 2173.67, "end": 2173.89, "word": " the", "probability": 0.89990234375}, {"start": 2173.89, "end": 2174.33, "word": " power", "probability": 0.83837890625}, {"start": 2174.33, "end": 2174.85, "word": " N", "probability": 0.869140625}, {"start": 2174.85, "end": 2175.51, "word": " على", "probability": 0.796875}, {"start": 2175.51, "end": 2175.89, "word": " N", "probability": 0.93994140625}, {"start": 2175.89, "end": 2176.63, "word": " factorial", "probability": 0.70751953125}, {"start": 2176.63, "end": 2177.11, "word": " هذا", "probability": 0.90966796875}, {"start": 2177.11, "end": 2178.01, "word": " الجزء", "probability": 0.9111328125}, {"start": 2178.01, "end": 2179.75, "word": " يعني", "probability": 0.891845703125}, {"start": 2179.75, "end": 2179.95, "word": " هذا", "probability": 0.8330078125}, {"start": 2179.95, "end": 2180.51, "word": " صحيح", "probability": 0.967529296875}], "temperature": 1.0}, {"id": 90, "seek": 220519, "start": 2181.77, "end": 2205.19, "text": "يقولك ماشي مصدق جرب وضع ن بزيرو فاكتوريا اللي بيجي داشر بواحد هنا X و Zero بواحد يبقى واحد على واحد بواحد اللي هو الحد الاول زاد وضع ن بواحد بيجيب الحد التاني و الحد التالت والربع يبقى بالكلام سليم مائة بالمائة", "tokens": [1829, 39648, 4117, 3714, 33599, 1829, 3714, 9381, 3215, 4587, 10874, 25513, 4032, 11242, 3615, 8717, 4724, 11622, 13546, 2407, 6156, 995, 4117, 2655, 13063, 25528, 13672, 1829, 4724, 1829, 7435, 1829, 11778, 33599, 2288, 4724, 14407, 24401, 34105, 1783, 4032, 17182, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 36764, 24401, 4724, 14407, 24401, 13672, 1829, 31439, 21542, 3215, 42963, 12610, 30767, 18513, 4032, 11242, 3615, 8717, 4724, 14407, 24401, 4724, 1829, 7435, 1829, 3555, 21542, 3215, 16712, 7649, 1829, 4032, 21542, 3215, 16712, 6027, 2655, 16070, 25513, 3615, 7251, 3555, 4587, 7578, 20666, 28820, 10943, 8608, 20292, 2304, 3714, 16373, 3660, 20666, 2304, 16373, 3660], "avg_logprob": -0.36761365072293717, "compression_ratio": 2.032608695652174, "no_speech_prob": 0.0, "words": [{"start": 2181.77, "end": 2182.17, "word": "يقولك", "probability": 0.3230387369791667}, {"start": 2182.17, "end": 2182.39, "word": " ماشي", "probability": 0.7373046875}, {"start": 2182.39, "end": 2182.93, "word": " مصدق", "probability": 0.72930908203125}, {"start": 2182.93, "end": 2183.53, "word": " جرب", "probability": 0.849609375}, {"start": 2183.53, "end": 2184.45, "word": " وضع", "probability": 0.4878336588541667}, {"start": 2184.45, "end": 2184.85, "word": " ن", "probability": 0.1934814453125}, {"start": 2184.85, "end": 2185.77, "word": " بزيرو", "probability": 0.60107421875}, {"start": 2185.77, "end": 2187.39, "word": " فاكتوريا", "probability": 0.6998799641927084}, {"start": 2187.39, "end": 2187.49, "word": " اللي", "probability": 0.48907470703125}, {"start": 2187.49, "end": 2187.71, "word": " بيجي", "probability": 0.64593505859375}, {"start": 2187.71, "end": 2188.33, "word": " داشر", "probability": 0.6448567708333334}, {"start": 2188.33, "end": 2189.25, "word": " بواحد", "probability": 0.8391927083333334}, {"start": 2189.25, "end": 2190.17, "word": " هنا", "probability": 0.415771484375}, {"start": 2190.17, "end": 2190.57, "word": " X", "probability": 0.254150390625}, {"start": 2190.57, "end": 2190.79, "word": " و", "probability": 0.478515625}, {"start": 2190.79, "end": 2191.21, "word": " Zero", "probability": 0.357666015625}, {"start": 2191.21, "end": 2191.69, "word": " بواحد", "probability": 0.9694010416666666}, {"start": 2191.69, "end": 2191.93, "word": " يبقى", "probability": 0.7833251953125}, {"start": 2191.93, "end": 2192.17, "word": " واحد", "probability": 0.96337890625}, {"start": 2192.17, "end": 2192.33, "word": " على", "probability": 0.615234375}, {"start": 2192.33, "end": 2192.77, "word": " واحد", "probability": 0.991943359375}, {"start": 2192.77, "end": 2193.31, "word": " بواحد", "probability": 0.9049479166666666}, {"start": 2193.31, "end": 2193.45, "word": " اللي", "probability": 0.9423828125}, {"start": 2193.45, "end": 2193.57, "word": " هو", "probability": 0.93212890625}, {"start": 2193.57, "end": 2193.95, "word": " الحد", "probability": 0.97802734375}, {"start": 2193.95, "end": 2194.61, "word": " الاول", "probability": 0.7276611328125}, {"start": 2194.61, "end": 2195.71, "word": " زاد", "probability": 0.5760498046875}, {"start": 2195.71, "end": 2196.19, "word": " وضع", "probability": 0.9205729166666666}, {"start": 2196.19, "end": 2196.49, "word": " ن", "probability": 0.84521484375}, {"start": 2196.49, "end": 2197.15, "word": " بواحد", "probability": 0.9837239583333334}, {"start": 2197.15, "end": 2197.53, "word": " بيجيب", "probability": 0.752880859375}, {"start": 2197.53, "end": 2198.23, "word": " الحد", "probability": 0.6646728515625}, {"start": 2198.23, "end": 2198.83, "word": " التاني", "probability": 0.93603515625}, {"start": 2198.83, "end": 2198.95, "word": " و", "probability": 0.354736328125}, {"start": 2198.95, "end": 2199.35, "word": " الحد", "probability": 0.91259765625}, {"start": 2199.35, "end": 2200.01, "word": " التالت", "probability": 0.95751953125}, {"start": 2200.01, "end": 2200.97, "word": " والربع", "probability": 0.8289388020833334}, {"start": 2200.97, "end": 2201.45, "word": " يبقى", "probability": 0.865966796875}, {"start": 2201.45, "end": 2203.09, "word": " بالكلام", "probability": 0.7171223958333334}, {"start": 2203.09, "end": 2203.83, "word": " سليم", "probability": 0.9319661458333334}, {"start": 2203.83, "end": 2204.41, "word": " مائة", "probability": 0.7942708333333334}, {"start": 2204.41, "end": 2205.19, "word": " بالمائة", "probability": 0.9598388671875}], "temperature": 1.0}, {"id": 91, "seek": 222730, "start": 2205.48, "end": 2227.3, "text": "بالله ان دي زائد مين زاد هذا كله يعتبر constant كمان بده يسميه C يبقى هذا زائد constant C و ال C بده يساوي C one ناقص واحد أليست هذه هي ال E و ال 6 زائد constant C", "tokens": [3555, 6027, 43761, 16472, 11778, 1829, 30767, 16373, 3215, 3714, 9957, 30767, 18513, 23758, 28242, 3224, 7251, 34268, 26890, 5754, 9122, 2304, 7649, 47525, 3224, 7251, 38251, 1829, 3224, 383, 7251, 3555, 4587, 7578, 23758, 30767, 16373, 3215, 5754, 383, 4032, 2423, 383, 47525, 3224, 7251, 3794, 995, 45865, 383, 472, 8717, 995, 4587, 9381, 36764, 24401, 5551, 20292, 14851, 29538, 39896, 2423, 462, 4032, 2423, 1386, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.32020549251608654, "compression_ratio": 1.6178343949044587, "no_speech_prob": 0.0, "words": [{"start": 2205.48, "end": 2206.02, "word": "بالله", "probability": 0.3980305989583333}, {"start": 2206.02, "end": 2206.2, "word": " ان", "probability": 0.849609375}, {"start": 2206.2, "end": 2206.36, "word": " دي", "probability": 0.6939697265625}, {"start": 2206.36, "end": 2206.94, "word": " زائد", "probability": 0.7283528645833334}, {"start": 2206.94, "end": 2207.66, "word": " مين", "probability": 0.7357177734375}, {"start": 2207.66, "end": 2208.96, "word": " زاد", "probability": 0.53070068359375}, {"start": 2208.96, "end": 2209.5, "word": " هذا", "probability": 0.6376953125}, {"start": 2209.5, "end": 2210.06, "word": " كله", "probability": 0.88623046875}, {"start": 2210.06, "end": 2210.6, "word": " يعتبر", "probability": 0.96630859375}, {"start": 2210.6, "end": 2211.22, "word": " constant", "probability": 0.892578125}, {"start": 2211.22, "end": 2211.76, "word": " كمان", "probability": 0.9498697916666666}, {"start": 2211.76, "end": 2212.14, "word": " بده", "probability": 0.606201171875}, {"start": 2212.14, "end": 2212.76, "word": " يسميه", "probability": 0.8232421875}, {"start": 2212.76, "end": 2213.06, "word": " C", "probability": 0.53955078125}, {"start": 2213.06, "end": 2214.14, "word": " يبقى", "probability": 0.9102783203125}, {"start": 2214.14, "end": 2214.48, "word": " هذا", "probability": 0.7509765625}, {"start": 2214.48, "end": 2215.06, "word": " زائد", "probability": 0.9156901041666666}, {"start": 2215.06, "end": 2215.64, "word": " constant", "probability": 0.85595703125}, {"start": 2215.64, "end": 2216.22, "word": " C", "probability": 0.87939453125}, {"start": 2216.22, "end": 2216.8, "word": " و", "probability": 0.425537109375}, {"start": 2216.8, "end": 2217.08, "word": " ال", "probability": 0.366455078125}, {"start": 2217.08, "end": 2217.34, "word": " C", "probability": 0.6435546875}, {"start": 2217.34, "end": 2217.9, "word": " بده", "probability": 0.84765625}, {"start": 2217.9, "end": 2218.54, "word": " يساوي", "probability": 0.968505859375}, {"start": 2218.54, "end": 2218.94, "word": " C", "probability": 0.77294921875}, {"start": 2218.94, "end": 2219.4, "word": " one", "probability": 0.25146484375}, {"start": 2219.4, "end": 2220.3, "word": " ناقص", "probability": 0.8790283203125}, {"start": 2220.3, "end": 2220.86, "word": " واحد", "probability": 0.96337890625}, {"start": 2220.86, "end": 2222.16, "word": " أليست", "probability": 0.6673990885416666}, {"start": 2222.16, "end": 2222.8, "word": " هذه", "probability": 0.83544921875}, {"start": 2222.8, "end": 2223.54, "word": " هي", "probability": 0.8935546875}, {"start": 2223.54, "end": 2223.8, "word": " ال", "probability": 0.82763671875}, {"start": 2223.8, "end": 2224.12, "word": " E", "probability": 0.9248046875}, {"start": 2224.12, "end": 2224.36, "word": " و", "probability": 0.311767578125}, {"start": 2224.36, "end": 2224.56, "word": " ال", "probability": 0.66064453125}, {"start": 2224.56, "end": 2224.98, "word": " 6", "probability": 0.33642578125}, {"start": 2224.98, "end": 2226.02, "word": " زائد", "probability": 0.9640299479166666}, {"start": 2226.02, "end": 2226.64, "word": " constant", "probability": 0.9560546875}, {"start": 2226.64, "end": 2227.3, "word": " C", "probability": 0.97412109375}], "temperature": 1.0}, {"id": 92, "seek": 225860, "start": 2229.02, "end": 2258.6, "text": "تمام؟ لتركها بكويسها لترك هو اللي جدر اللي جدرنا بواصفته نوصل للصيغة المطلوبة ويتكامل EO6 يساوي EO6 زائد constant وبالتالي كأنه احنا أثبتنا ان تكامل EO6 يساوي EO6 زايد constant بطريقة غير الطريقة المتعرف عليها قبل ذلك في section 7 3", "tokens": [2655, 15042, 2304, 22807, 5296, 2655, 31747, 11296, 4724, 4117, 45865, 3794, 11296, 5296, 2655, 31747, 31439, 13672, 1829, 10874, 3215, 2288, 13672, 1829, 10874, 3215, 2288, 8315, 4724, 2407, 33546, 5172, 47395, 8717, 2407, 36520, 24976, 9381, 1829, 17082, 3660, 9673, 9566, 1211, 37746, 3660, 4032, 36081, 4117, 10943, 1211, 462, 46, 21, 7251, 3794, 995, 45865, 462, 46, 21, 30767, 16373, 3215, 5754, 46599, 6027, 2655, 6027, 1829, 9122, 33456, 3224, 1975, 5016, 8315, 5551, 12984, 3555, 2655, 8315, 16472, 6055, 4117, 10943, 1211, 462, 46, 21, 7251, 3794, 995, 45865, 462, 46, 21, 30767, 995, 25708, 5754, 4724, 9566, 16572, 28671, 32771, 13546, 41950, 16572, 28671, 9673, 2655, 3615, 28480, 25894, 11296, 12174, 36150, 29910, 23275, 8978, 3541, 1614, 805], "avg_logprob": -0.16935483979121332, "compression_ratio": 1.751131221719457, "no_speech_prob": 0.19482421875, "words": [{"start": 2229.02, "end": 2229.9, "word": "تمام؟", "probability": 0.442657470703125}, {"start": 2229.9, "end": 2230.64, "word": " لتركها", "probability": 0.7249755859375}, {"start": 2230.64, "end": 2231.74, "word": " بكويسها", "probability": 0.83779296875}, {"start": 2231.74, "end": 2233.02, "word": " لترك", "probability": 0.8400065104166666}, {"start": 2233.02, "end": 2233.26, "word": " هو", "probability": 0.6171875}, {"start": 2233.26, "end": 2233.5, "word": " اللي", "probability": 0.8212890625}, {"start": 2233.5, "end": 2234.0, "word": " جدر", "probability": 0.9117838541666666}, {"start": 2234.0, "end": 2234.56, "word": " اللي", "probability": 0.92529296875}, {"start": 2234.56, "end": 2234.96, "word": " جدرنا", "probability": 0.9691162109375}, {"start": 2234.96, "end": 2235.98, "word": " بواصفته", "probability": 0.87470703125}, {"start": 2235.98, "end": 2236.74, "word": " نوصل", "probability": 0.9773763020833334}, {"start": 2236.74, "end": 2237.5, "word": " للصيغة", "probability": 0.89658203125}, {"start": 2237.5, "end": 2238.52, "word": " المطلوبة", "probability": 0.98095703125}, {"start": 2238.52, "end": 2239.54, "word": " ويتكامل", "probability": 0.88525390625}, {"start": 2239.54, "end": 2240.1, "word": " EO6", "probability": 0.7356770833333334}, {"start": 2240.1, "end": 2240.5, "word": " يساوي", "probability": 0.76470947265625}, {"start": 2240.5, "end": 2241.0, "word": " EO6", "probability": 0.9752604166666666}, {"start": 2241.0, "end": 2241.38, "word": " زائد", "probability": 0.7420247395833334}, {"start": 2241.38, "end": 2241.82, "word": " constant", "probability": 0.80517578125}, {"start": 2241.82, "end": 2242.88, "word": " وبالتالي", "probability": 0.9150390625}, {"start": 2242.88, "end": 2243.96, "word": " كأنه", "probability": 0.8312174479166666}, {"start": 2243.96, "end": 2244.44, "word": " احنا", "probability": 0.90625}, {"start": 2244.44, "end": 2245.32, "word": " أثبتنا", "probability": 0.93056640625}, {"start": 2245.32, "end": 2245.5, "word": " ان", "probability": 0.62548828125}, {"start": 2245.5, "end": 2246.18, "word": " تكامل", "probability": 0.8411865234375}, {"start": 2246.18, "end": 2247.04, "word": " EO6", "probability": 0.8802083333333334}, {"start": 2247.04, "end": 2248.08, "word": " يساوي", "probability": 0.969482421875}, {"start": 2248.08, "end": 2248.82, "word": " EO6", "probability": 0.9928385416666666}, {"start": 2248.82, "end": 2249.2, "word": " زايد", "probability": 0.8294270833333334}, {"start": 2249.2, "end": 2249.76, "word": " constant", "probability": 0.96240234375}, {"start": 2249.76, "end": 2251.04, "word": " بطريقة", "probability": 0.9842529296875}, {"start": 2251.04, "end": 2251.48, "word": " غير", "probability": 0.994873046875}, {"start": 2251.48, "end": 2252.06, "word": " الطريقة", "probability": 0.9889322916666666}, {"start": 2252.06, "end": 2252.9, "word": " المتعرف", "probability": 0.9508056640625}, {"start": 2252.9, "end": 2253.84, "word": " عليها", "probability": 0.9765625}, {"start": 2253.84, "end": 2254.54, "word": " قبل", "probability": 0.992919921875}, {"start": 2254.54, "end": 2255.1, "word": " ذلك", "probability": 0.99365234375}, {"start": 2255.1, "end": 2255.62, "word": " في", "probability": 0.93603515625}, {"start": 2255.62, "end": 2256.68, "word": " section", "probability": 0.75537109375}, {"start": 2256.68, "end": 2257.82, "word": " 7", "probability": 0.86474609375}, {"start": 2257.82, "end": 2258.6, "word": " 3", "probability": 0.215087890625}], "temperature": 1.0}, {"id": 93, "seek": 228860, "start": 2268.58, "end": 2288.6, "text": "طيب، هذا مثال يوضح كيف استخدمنا التكامل في الحصول على شكل ال series وسليه قبله كانت فاضل، ايوة ما الاخر خطوة هذه؟ ابدا، لحد اين تمام هذه؟", "tokens": [9566, 1829, 3555, 12399, 23758, 50113, 6027, 7251, 2407, 11242, 5016, 9122, 33911, 44713, 9778, 40448, 8315, 16712, 4117, 10943, 1211, 8978, 21542, 9381, 12610, 15844, 13412, 28820, 2423, 2638, 46952, 20292, 3224, 12174, 36150, 3224, 25961, 2655, 6156, 46958, 1211, 12399, 1975, 1829, 2407, 3660, 19446, 2423, 47283, 2288, 16490, 9566, 2407, 3660, 29538, 22807, 48127, 28259, 12399, 5296, 24401, 1975, 9957, 46811, 10943, 29538, 22807], "avg_logprob": -0.23322610469425425, "compression_ratio": 1.5031055900621118, "no_speech_prob": 0.0, "words": [{"start": 2268.58, "end": 2269.74, "word": "طيب،", "probability": 0.632537841796875}, {"start": 2269.74, "end": 2270.32, "word": " هذا", "probability": 0.88427734375}, {"start": 2270.32, "end": 2272.52, "word": " مثال", "probability": 0.981689453125}, {"start": 2272.52, "end": 2273.36, "word": " يوضح", "probability": 0.952392578125}, {"start": 2273.36, "end": 2274.02, "word": " كيف", "probability": 0.9697265625}, {"start": 2274.02, "end": 2275.08, "word": " استخدمنا", "probability": 0.8673095703125}, {"start": 2275.08, "end": 2276.48, "word": " التكامل", "probability": 0.9638671875}, {"start": 2276.48, "end": 2277.02, "word": " في", "probability": 0.87451171875}, {"start": 2277.02, "end": 2277.74, "word": " الحصول", "probability": 0.9954427083333334}, {"start": 2277.74, "end": 2278.0, "word": " على", "probability": 0.90576171875}, {"start": 2278.0, "end": 2278.44, "word": " شكل", "probability": 0.971435546875}, {"start": 2278.44, "end": 2278.62, "word": " ال", "probability": 0.763671875}, {"start": 2278.62, "end": 2279.0, "word": " series", "probability": 0.62158203125}, {"start": 2279.0, "end": 2279.98, "word": " وسليه", "probability": 0.4833170572916667}, {"start": 2279.98, "end": 2280.4, "word": " قبله", "probability": 0.9241536458333334}, {"start": 2280.4, "end": 2280.84, "word": " كانت", "probability": 0.93701171875}, {"start": 2280.84, "end": 2281.34, "word": " فاضل،", "probability": 0.79644775390625}, {"start": 2281.34, "end": 2281.74, "word": " ايوة", "probability": 0.7562255859375}, {"start": 2281.74, "end": 2283.56, "word": " ما", "probability": 0.35595703125}, {"start": 2283.56, "end": 2284.16, "word": " الاخر", "probability": 0.7392578125}, {"start": 2284.16, "end": 2284.6, "word": " خطوة", "probability": 0.99365234375}, {"start": 2284.6, "end": 2285.36, "word": " هذه؟", "probability": 0.575439453125}, {"start": 2285.36, "end": 2286.72, "word": " ابدا،", "probability": 0.7871907552083334}, {"start": 2286.72, "end": 2287.12, "word": " لحد", "probability": 0.940185546875}, {"start": 2287.12, "end": 2287.4, "word": " اين", "probability": 0.7373046875}, {"start": 2287.4, "end": 2287.86, "word": " تمام", "probability": 0.913818359375}, {"start": 2287.86, "end": 2288.6, "word": " هذه؟", "probability": 0.9208984375}], "temperature": 1.0}, {"id": 94, "seek": 231423, "start": 2288.79, "end": 2314.23, "text": "ضيف واحد واطرح واحد كأنك باقى فى قداش هل تتغير القيمة؟ لأ بدنا نضيف هي اضفنا واحد واطرحنا واحد الواحد هذا مع ال summation بدي اجملهم ب summation واحد يبقى هي جمالتهم ب summation واحد ممكن و لا مش ممكن تعالى نشوف حط N ب Zero بطلع الحد الاول عندك بواحد", "tokens": [11242, 33911, 36764, 24401, 4032, 41193, 2288, 5016, 36764, 24401, 9122, 33456, 4117, 4724, 995, 4587, 7578, 6156, 7578, 12174, 3215, 33599, 8032, 1211, 6055, 2655, 17082, 13546, 25062, 32640, 3660, 22807, 5296, 10721, 47525, 8315, 8717, 11242, 33911, 39896, 1975, 11242, 5172, 8315, 36764, 24401, 4032, 41193, 2288, 5016, 8315, 36764, 24401, 2423, 14407, 24401, 23758, 20449, 2423, 28811, 4724, 16254, 1975, 7435, 42213, 16095, 4724, 28811, 36764, 24401, 7251, 3555, 4587, 7578, 39896, 10874, 2304, 6027, 2655, 16095, 4724, 28811, 36764, 24401, 3714, 43020, 4032, 20193, 37893, 3714, 43020, 37279, 6027, 7578, 8717, 8592, 38688, 11331, 9566, 426, 4724, 17182, 4724, 9566, 1211, 3615, 21542, 3215, 42963, 12610, 43242, 4117, 4724, 14407, 24401], "avg_logprob": -0.2365301780659577, "compression_ratio": 1.8914027149321266, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 2288.79, "end": 2290.13, "word": "ضيف", "probability": 0.41119384765625}, {"start": 2290.13, "end": 2290.45, "word": " واحد", "probability": 0.966064453125}, {"start": 2290.45, "end": 2290.87, "word": " واطرح", "probability": 0.8565673828125}, {"start": 2290.87, "end": 2291.31, "word": " واحد", "probability": 0.99365234375}, {"start": 2291.31, "end": 2292.79, "word": " كأنك", "probability": 0.7325846354166666}, {"start": 2292.79, "end": 2292.97, "word": " باقى", "probability": 0.482635498046875}, {"start": 2292.97, "end": 2293.13, "word": " فى", "probability": 0.77197265625}, {"start": 2293.13, "end": 2293.61, "word": " قداش", "probability": 0.8133138020833334}, {"start": 2293.61, "end": 2294.69, "word": " هل", "probability": 0.797119140625}, {"start": 2294.69, "end": 2295.25, "word": " تتغير", "probability": 0.980224609375}, {"start": 2295.25, "end": 2296.57, "word": " القيمة؟", "probability": 0.8138427734375}, {"start": 2296.57, "end": 2296.97, "word": " لأ", "probability": 0.89453125}, {"start": 2296.97, "end": 2297.61, "word": " بدنا", "probability": 0.61590576171875}, {"start": 2297.61, "end": 2297.99, "word": " نضيف", "probability": 0.9733072916666666}, {"start": 2297.99, "end": 2298.19, "word": " هي", "probability": 0.3876953125}, {"start": 2298.19, "end": 2298.71, "word": " اضفنا", "probability": 0.80511474609375}, {"start": 2298.71, "end": 2299.13, "word": " واحد", "probability": 0.98876953125}, {"start": 2299.13, "end": 2299.85, "word": " واطرحنا", "probability": 0.97646484375}, {"start": 2299.85, "end": 2300.25, "word": " واحد", "probability": 0.7890625}, {"start": 2300.25, "end": 2301.63, "word": " الواحد", "probability": 0.9749348958333334}, {"start": 2301.63, "end": 2301.93, "word": " هذا", "probability": 0.55908203125}, {"start": 2301.93, "end": 2302.21, "word": " مع", "probability": 0.98681640625}, {"start": 2302.21, "end": 2302.43, "word": " ال", "probability": 0.8974609375}, {"start": 2302.43, "end": 2302.81, "word": " summation", "probability": 0.869140625}, {"start": 2302.81, "end": 2303.27, "word": " بدي", "probability": 0.780029296875}, {"start": 2303.27, "end": 2303.87, "word": " اجملهم", "probability": 0.9329833984375}, {"start": 2303.87, "end": 2304.03, "word": " ب", "probability": 0.97900390625}, {"start": 2304.03, "end": 2304.59, "word": " summation", "probability": 0.5625}, {"start": 2304.59, "end": 2305.29, "word": " واحد", "probability": 0.9765625}, {"start": 2305.29, "end": 2306.11, "word": " يبقى", "probability": 0.966064453125}, {"start": 2306.11, "end": 2306.29, "word": " هي", "probability": 0.430908203125}, {"start": 2306.29, "end": 2306.85, "word": " جمالتهم", "probability": 0.8921875}, {"start": 2306.85, "end": 2307.03, "word": " ب", "probability": 0.93212890625}, {"start": 2307.03, "end": 2307.47, "word": " summation", "probability": 0.6845703125}, {"start": 2307.47, "end": 2307.83, "word": " واحد", "probability": 0.993896484375}, {"start": 2307.83, "end": 2308.33, "word": " ممكن", "probability": 0.922119140625}, {"start": 2308.33, "end": 2308.49, "word": " و", "probability": 0.5205078125}, {"start": 2308.49, "end": 2308.65, "word": " لا", "probability": 0.7744140625}, {"start": 2308.65, "end": 2308.89, "word": " مش", "probability": 0.94970703125}, {"start": 2308.89, "end": 2309.27, "word": " ممكن", "probability": 0.98583984375}, {"start": 2309.27, "end": 2309.81, "word": " تعالى", "probability": 0.9386393229166666}, {"start": 2309.81, "end": 2310.23, "word": " نشوف", "probability": 0.99609375}, {"start": 2310.23, "end": 2311.05, "word": " حط", "probability": 0.830322265625}, {"start": 2311.05, "end": 2311.39, "word": " N", "probability": 0.1312255859375}, {"start": 2311.39, "end": 2311.57, "word": " ب", "probability": 0.68408203125}, {"start": 2311.57, "end": 2311.97, "word": " Zero", "probability": 0.295166015625}, {"start": 2311.97, "end": 2312.51, "word": " بطلع", "probability": 0.865966796875}, {"start": 2312.51, "end": 2312.85, "word": " الحد", "probability": 0.94921875}, {"start": 2312.85, "end": 2313.29, "word": " الاول", "probability": 0.774658203125}, {"start": 2313.29, "end": 2313.71, "word": " عندك", "probability": 0.971435546875}, {"start": 2313.71, "end": 2314.23, "word": " بواحد", "probability": 0.86962890625}], "temperature": 1.0}, {"id": 95, "seek": 234461, "start": 2314.91, "end": 2344.61, "text": "حط in من واحد إلى المقل النهائي بيعطيك ال sub machine التاني يبقى كلامنا سليم مئة بالمئة جينا على ال C والنقص واحد هذا كله constant سميته constant z ويسوى من C sub machine هو ال exponential function وده ال constant يبقى فعلا تكمل E وال6 بE وال6 زاد constant C طيب برضه بيناعطيك كمان مثال على هذا الموضوع وفتح عينك كويس دجج معايا", "tokens": [5016, 9566, 294, 9154, 36764, 24401, 30731, 9673, 4587, 1211, 28239, 3224, 16373, 1829, 4724, 1829, 3615, 9566, 1829, 4117, 2423, 1422, 3479, 16712, 7649, 1829, 7251, 3555, 4587, 7578, 28242, 10943, 8315, 8608, 20292, 2304, 3714, 19986, 3660, 20666, 2304, 19986, 3660, 10874, 1829, 8315, 15844, 2423, 383, 16070, 1863, 4587, 9381, 36764, 24401, 23758, 28242, 3224, 5754, 8608, 2304, 36081, 3224, 5754, 710, 4032, 1829, 3794, 2407, 7578, 9154, 383, 1422, 3479, 31439, 2423, 21510, 2445, 4032, 3215, 3224, 2423, 5754, 7251, 3555, 4587, 7578, 6156, 3615, 15040, 6055, 24793, 1211, 462, 16070, 21, 4724, 36, 16070, 21, 30767, 18513, 5754, 383, 23032, 1829, 3555, 4724, 43042, 3224, 4724, 1829, 8315, 3615, 9566, 1829, 4117, 9122, 2304, 7649, 50113, 6027, 15844, 23758, 9673, 2407, 11242, 45367, 4032, 5172, 2655, 5016, 6225, 9957, 4117, 9122, 45865, 3794, 11778, 7435, 7435, 20449, 995, 25528], "avg_logprob": -0.3140086141125909, "compression_ratio": 1.8028169014084507, "no_speech_prob": 0.0, "words": [{"start": 2314.91, "end": 2315.37, "word": "حط", "probability": 0.447784423828125}, {"start": 2315.37, "end": 2315.67, "word": " in", "probability": 0.408447265625}, {"start": 2315.67, "end": 2315.85, "word": " من", "probability": 0.833984375}, {"start": 2315.85, "end": 2316.25, "word": " واحد", "probability": 0.90966796875}, {"start": 2316.25, "end": 2316.51, "word": " إلى", "probability": 0.6494140625}, {"start": 2316.51, "end": 2316.81, "word": " المقل", "probability": 0.2749837239583333}, {"start": 2316.81, "end": 2317.21, "word": " النهائي", "probability": 0.84619140625}, {"start": 2317.21, "end": 2317.67, "word": " بيعطيك", "probability": 0.7567545572916666}, {"start": 2317.67, "end": 2317.79, "word": " ال", "probability": 0.7822265625}, {"start": 2317.79, "end": 2317.97, "word": " sub", "probability": 0.44873046875}, {"start": 2317.97, "end": 2318.31, "word": " machine", "probability": 0.356689453125}, {"start": 2318.31, "end": 2319.05, "word": " التاني", "probability": 0.9127604166666666}, {"start": 2319.05, "end": 2319.73, "word": " يبقى", "probability": 0.9288330078125}, {"start": 2319.73, "end": 2320.29, "word": " كلامنا", "probability": 0.95458984375}, {"start": 2320.29, "end": 2320.65, "word": " سليم", "probability": 0.955078125}, {"start": 2320.65, "end": 2320.89, "word": " مئة", "probability": 0.76904296875}, {"start": 2320.89, "end": 2321.39, "word": " بالمئة", "probability": 0.8941650390625}, {"start": 2321.39, "end": 2322.11, "word": " جينا", "probability": 0.7870279947916666}, {"start": 2322.11, "end": 2322.35, "word": " على", "probability": 0.884765625}, {"start": 2322.35, "end": 2322.53, "word": " ال", "probability": 0.91845703125}, {"start": 2322.53, "end": 2322.67, "word": " C", "probability": 0.4404296875}, {"start": 2322.67, "end": 2323.27, "word": " والنقص", "probability": 0.81976318359375}, {"start": 2323.27, "end": 2323.53, "word": " واحد", "probability": 0.97607421875}, {"start": 2323.53, "end": 2323.77, "word": " هذا", "probability": 0.53759765625}, {"start": 2323.77, "end": 2324.31, "word": " كله", "probability": 0.98095703125}, {"start": 2324.31, "end": 2324.75, "word": " constant", "probability": 0.317138671875}, {"start": 2324.75, "end": 2325.39, "word": " سميته", "probability": 0.73834228515625}, {"start": 2325.39, "end": 2325.77, "word": " constant", "probability": 0.313232421875}, {"start": 2325.77, "end": 2326.31, "word": " z", "probability": 0.3056640625}, {"start": 2326.31, "end": 2326.89, "word": " ويسوى", "probability": 0.605517578125}, {"start": 2326.89, "end": 2327.05, "word": " من", "probability": 0.298583984375}, {"start": 2327.05, "end": 2327.77, "word": " C", "probability": 0.330078125}, {"start": 2327.77, "end": 2328.51, "word": " sub", "probability": 0.537109375}, {"start": 2328.51, "end": 2328.75, "word": " machine", "probability": 0.8115234375}, {"start": 2328.75, "end": 2329.01, "word": " هو", "probability": 0.457763671875}, {"start": 2329.01, "end": 2329.15, "word": " ال", "probability": 0.8505859375}, {"start": 2329.15, "end": 2329.61, "word": " exponential", "probability": 0.91845703125}, {"start": 2329.61, "end": 2330.39, "word": " function", "probability": 0.97216796875}, {"start": 2330.39, "end": 2331.05, "word": " وده", "probability": 0.6365559895833334}, {"start": 2331.05, "end": 2331.23, "word": " ال", "probability": 0.90673828125}, {"start": 2331.23, "end": 2331.71, "word": " constant", "probability": 0.94482421875}, {"start": 2331.71, "end": 2332.11, "word": " يبقى", "probability": 0.95458984375}, {"start": 2332.11, "end": 2332.53, "word": " فعلا", "probability": 0.9288736979166666}, {"start": 2332.53, "end": 2333.17, "word": " تكمل", "probability": 0.9054361979166666}, {"start": 2333.17, "end": 2333.41, "word": " E", "probability": 0.5673828125}, {"start": 2333.41, "end": 2333.87, "word": " وال6", "probability": 0.629638671875}, {"start": 2333.87, "end": 2334.27, "word": " بE", "probability": 0.5955810546875}, {"start": 2334.27, "end": 2334.71, "word": " وال6", "probability": 0.934814453125}, {"start": 2334.71, "end": 2335.33, "word": " زاد", "probability": 0.8583984375}, {"start": 2335.33, "end": 2336.45, "word": " constant", "probability": 0.8447265625}, {"start": 2336.45, "end": 2337.33, "word": " C", "probability": 0.41943359375}, {"start": 2337.33, "end": 2338.25, "word": " طيب", "probability": 0.8130696614583334}, {"start": 2338.25, "end": 2339.05, "word": " برضه", "probability": 0.9186197916666666}, {"start": 2339.05, "end": 2339.71, "word": " بيناعطيك", "probability": 0.6761997767857143}, {"start": 2339.71, "end": 2340.09, "word": " كمان", "probability": 0.8727213541666666}, {"start": 2340.09, "end": 2340.61, "word": " مثال", "probability": 0.949462890625}, {"start": 2340.61, "end": 2340.87, "word": " على", "probability": 0.9072265625}, {"start": 2340.87, "end": 2341.23, "word": " هذا", "probability": 0.97119140625}, {"start": 2341.23, "end": 2341.85, "word": " الموضوع", "probability": 0.9981689453125}, {"start": 2341.85, "end": 2342.83, "word": " وفتح", "probability": 0.8201904296875}, {"start": 2342.83, "end": 2343.21, "word": " عينك", "probability": 0.9767252604166666}, {"start": 2343.21, "end": 2343.73, "word": " كويس", "probability": 0.94873046875}, {"start": 2343.73, "end": 2344.19, "word": " دجج", "probability": 0.6646728515625}, {"start": 2344.19, "end": 2344.61, "word": " معايا", "probability": 0.8269856770833334}], "temperature": 1.0}, {"id": 96, "seek": 237169, "start": 2345.27, "end": 2371.69, "text": "مثال رقم اتنين بيقول find a function f of x that represented by", "tokens": [2304, 12984, 6027, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 4724, 1829, 39648, 915, 257, 2445, 283, 295, 2031, 300, 10379, 538], "avg_logprob": -0.26800271479979804, "compression_ratio": 0.9411764705882353, "no_speech_prob": 0.0, "words": [{"start": 2345.27, "end": 2345.83, "word": "مثال", "probability": 0.8977864583333334}, {"start": 2345.83, "end": 2346.39, "word": " رقم", "probability": 0.8816731770833334}, {"start": 2346.39, "end": 2347.01, "word": " اتنين", "probability": 0.9112548828125}, {"start": 2347.01, "end": 2355.57, "word": " بيقول", "probability": 0.6053263346354166}, {"start": 2355.57, "end": 2356.13, "word": " find", "probability": 0.623046875}, {"start": 2356.13, "end": 2356.53, "word": " a", "probability": 0.96142578125}, {"start": 2356.53, "end": 2360.95, "word": " function", "probability": 0.98095703125}, {"start": 2360.95, "end": 2362.05, "word": " f", "probability": 0.634765625}, {"start": 2362.05, "end": 2362.57, "word": " of", "probability": 0.54931640625}, {"start": 2362.57, "end": 2363.25, "word": " x", "probability": 0.9404296875}, {"start": 2363.25, "end": 2364.29, "word": " that", "probability": 0.900390625}, {"start": 2364.29, "end": 2369.73, "word": " represented", "probability": 0.728515625}, {"start": 2369.73, "end": 2371.69, "word": " by", "probability": 0.88671875}], "temperature": 1.0}, {"id": 97, "seek": 239661, "start": 2377.51, "end": 2396.61, "text": "بعد عملية عملية عملية عملية عملية عملية عملية عملية عملية عملية عملية عملية", "tokens": [3555, 22488, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632], "avg_logprob": -0.520432710647583, "compression_ratio": 4.758620689655173, "no_speech_prob": 0.0, "words": [{"start": 2377.5099999999998, "end": 2378.91, "word": "بعد", "probability": 0.22796630859375}, {"start": 2378.91, "end": 2379.31, "word": " عملية", "probability": 0.3291829427083333}, {"start": 2379.31, "end": 2379.31, "word": " عملية", "probability": 0.7368977864583334}, {"start": 2379.31, "end": 2380.11, "word": " عملية", "probability": 0.778076171875}, {"start": 2380.11, "end": 2380.25, "word": " عملية", "probability": 0.7764485677083334}, {"start": 2380.25, "end": 2380.25, "word": " عملية", "probability": 0.7560221354166666}, {"start": 2380.25, "end": 2380.25, "word": " عملية", "probability": 0.7327473958333334}, {"start": 2380.25, "end": 2381.97, "word": " عملية", "probability": 0.7574869791666666}, {"start": 2381.97, "end": 2382.61, "word": " عملية", "probability": 0.8094075520833334}, {"start": 2382.61, "end": 2382.93, "word": " عملية", "probability": 0.8693033854166666}, {"start": 2382.93, "end": 2384.73, "word": " عملية", "probability": 0.9085286458333334}, {"start": 2384.73, "end": 2385.97, "word": " عملية", "probability": 0.9352213541666666}, {"start": 2385.97, "end": 2396.61, "word": " عملية", "probability": 0.9514973958333334}], "temperature": 1.0}, {"id": 98, "seek": 242778, "start": 2399.32, "end": 2427.78, "text": "the result استخدم النتيجة اللي حصلت عليها to find a power series that represent that represent that represent the following", "tokens": [3322, 1874, 44713, 9778, 40448, 28239, 31371, 7435, 3660, 13672, 1829, 11331, 36520, 2655, 25894, 11296, 281, 915, 257, 1347, 2638, 300, 2906, 300, 2906, 300, 2906, 264, 3480], "avg_logprob": -0.23736978868643444, "compression_ratio": 1.3303571428571428, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2399.32, "end": 2399.76, "word": "the", "probability": 0.118408203125}, {"start": 2399.76, "end": 2400.88, "word": " result", "probability": 0.9677734375}, {"start": 2400.88, "end": 2402.28, "word": " استخدم", "probability": 0.8873697916666666}, {"start": 2402.28, "end": 2402.96, "word": " النتيجة", "probability": 0.9781494140625}, {"start": 2402.96, "end": 2403.12, "word": " اللي", "probability": 0.756103515625}, {"start": 2403.12, "end": 2403.76, "word": " حصلت", "probability": 0.9879557291666666}, {"start": 2403.76, "end": 2404.46, "word": " عليها", "probability": 0.99267578125}, {"start": 2404.46, "end": 2405.08, "word": " to", "probability": 0.87158203125}, {"start": 2405.08, "end": 2405.58, "word": " find", "probability": 0.921875}, {"start": 2405.58, "end": 2410.08, "word": " a", "probability": 0.97607421875}, {"start": 2410.08, "end": 2411.08, "word": " power", "probability": 0.8955078125}, {"start": 2411.08, "end": 2413.0, "word": " series", "probability": 0.88720703125}, {"start": 2413.0, "end": 2416.24, "word": " that", "probability": 0.470458984375}, {"start": 2416.24, "end": 2417.4, "word": " represent", "probability": 0.744140625}, {"start": 2417.4, "end": 2418.98, "word": " that", "probability": 0.5048828125}, {"start": 2418.98, "end": 2422.12, "word": " represent", "probability": 0.736328125}, {"start": 2422.12, "end": 2425.24, "word": " that", "probability": 0.62890625}, {"start": 2425.24, "end": 2425.94, "word": " represent", "probability": 0.8056640625}, {"start": 2425.94, "end": 2427.02, "word": " the", "probability": 0.80419921875}, {"start": 2427.02, "end": 2427.78, "word": " following", "probability": 0.9013671875}], "temperature": 1.0}, {"id": 99, "seek": 245666, "start": 2433.02, "end": 2456.66, "text": "التي تمثل الدوالة التالية الدالة الأولى نمره A الـG of X يساوي واحد على واحد زائد X لكل تربية نمره B الـG of X بده يساوي Len واحد زائد X", "tokens": [6027, 31371, 46811, 12984, 1211, 32748, 2407, 6027, 3660, 16712, 6027, 10632, 32748, 6027, 3660, 16247, 12610, 7578, 8717, 29973, 3224, 316, 2423, 39184, 38, 295, 1783, 7251, 3794, 995, 45865, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 1783, 5296, 28820, 6055, 25513, 10632, 8717, 29973, 3224, 363, 2423, 39184, 38, 295, 1783, 47525, 3224, 7251, 3794, 995, 45865, 23009, 36764, 24401, 30767, 16373, 3215, 1783], "avg_logprob": -0.29090074581258435, "compression_ratio": 1.6888888888888889, "no_speech_prob": 0.0, "words": [{"start": 2433.02, "end": 2434.36, "word": "التي", "probability": 0.1478271484375}, {"start": 2434.36, "end": 2435.08, "word": " تمثل", "probability": 0.9339192708333334}, {"start": 2435.08, "end": 2435.94, "word": " الدوالة", "probability": 0.7254638671875}, {"start": 2435.94, "end": 2436.58, "word": " التالية", "probability": 0.8263346354166666}, {"start": 2436.58, "end": 2437.9, "word": " الدالة", "probability": 0.8758138020833334}, {"start": 2437.9, "end": 2438.44, "word": " الأولى", "probability": 0.9552408854166666}, {"start": 2438.44, "end": 2439.08, "word": " نمره", "probability": 0.4696858723958333}, {"start": 2439.08, "end": 2439.52, "word": " A", "probability": 0.389892578125}, {"start": 2439.52, "end": 2440.78, "word": " الـG", "probability": 0.4715983072916667}, {"start": 2440.78, "end": 2441.24, "word": " of", "probability": 0.60888671875}, {"start": 2441.24, "end": 2441.84, "word": " X", "probability": 0.9619140625}, {"start": 2441.84, "end": 2443.18, "word": " يساوي", "probability": 0.7933349609375}, {"start": 2443.18, "end": 2443.86, "word": " واحد", "probability": 0.87158203125}, {"start": 2443.86, "end": 2444.14, "word": " على", "probability": 0.5576171875}, {"start": 2444.14, "end": 2444.68, "word": " واحد", "probability": 0.984375}, {"start": 2444.68, "end": 2445.26, "word": " زائد", "probability": 0.9344075520833334}, {"start": 2445.26, "end": 2445.66, "word": " X", "probability": 0.97705078125}, {"start": 2445.66, "end": 2446.32, "word": " لكل", "probability": 0.927978515625}, {"start": 2446.32, "end": 2447.12, "word": " تربية", "probability": 0.6946614583333334}, {"start": 2447.12, "end": 2448.52, "word": " نمره", "probability": 0.8531901041666666}, {"start": 2448.52, "end": 2448.88, "word": " B", "probability": 0.87109375}, {"start": 2448.88, "end": 2450.08, "word": " الـG", "probability": 0.8406575520833334}, {"start": 2450.08, "end": 2450.6, "word": " of", "probability": 0.95849609375}, {"start": 2450.6, "end": 2451.18, "word": " X", "probability": 0.99658203125}, {"start": 2451.18, "end": 2452.04, "word": " بده", "probability": 0.693603515625}, {"start": 2452.04, "end": 2452.92, "word": " يساوي", "probability": 0.9764404296875}, {"start": 2452.92, "end": 2454.14, "word": " Len", "probability": 0.2420654296875}, {"start": 2454.14, "end": 2455.4, "word": " واحد", "probability": 0.978271484375}, {"start": 2455.4, "end": 2456.14, "word": " زائد", "probability": 0.9773763020833334}, {"start": 2456.14, "end": 2456.66, "word": " X", "probability": 0.994140625}], "temperature": 1.0}, {"id": 100, "seek": 249523, "start": 2489.46, "end": 2495.24, "text": "هاتلي دالة تمثل هذه الـ Power Series", "tokens": [3224, 9307, 20292, 11778, 6027, 3660, 6055, 2304, 12984, 1211, 29538, 2423, 39184, 7086, 13934], "avg_logprob": -0.5830078013241291, "compression_ratio": 0.8870967741935484, "no_speech_prob": 0.0, "words": [{"start": 2489.46, "end": 2490.86, "word": "هاتلي", "probability": 0.4803466796875}, {"start": 2490.86, "end": 2491.6, "word": " دالة", "probability": 0.8470052083333334}, {"start": 2491.6, "end": 2493.3, "word": " تمثل", "probability": 0.75128173828125}, {"start": 2493.3, "end": 2493.74, "word": " هذه", "probability": 0.6875}, {"start": 2493.74, "end": 2493.92, "word": " الـ", "probability": 0.30218505859375}, {"start": 2493.92, "end": 2494.42, "word": " Power", "probability": 0.323486328125}, {"start": 2494.42, "end": 2495.24, "word": " Series", "probability": 0.90673828125}], "temperature": 1.0}, {"id": 101, "seek": 252926, "start": 2502.56, "end": 2529.26, "text": "بعد هيك النتيجة اللى تحصل عليها بدك تستخدمها في الحصول على power series لتو functions اللى عندك يعني عملية عكسية ماتيني power series بد اتدلتها تبعتها يبقى سعر اندي دالة و سعر power series بد تستخدم هذه النتيجة للحصول على شكل ال power series لها تين اتدلتين", "tokens": [3555, 22488, 39896, 4117, 28239, 31371, 7435, 3660, 13672, 7578, 6055, 5016, 36520, 25894, 11296, 47525, 4117, 6055, 14851, 9778, 40448, 11296, 8978, 21542, 9381, 12610, 15844, 1347, 2638, 5296, 2655, 2407, 6828, 13672, 7578, 43242, 4117, 37495, 22653, 6225, 42213, 10632, 6225, 4117, 3794, 10632, 3714, 9307, 9957, 1829, 1347, 2638, 47525, 1975, 2655, 3215, 1211, 2655, 11296, 6055, 3555, 34268, 11296, 7251, 3555, 4587, 7578, 8608, 3615, 2288, 16472, 16254, 11778, 6027, 3660, 4032, 8608, 3615, 2288, 1347, 2638, 47525, 6055, 14851, 9778, 40448, 29538, 28239, 31371, 7435, 3660, 24976, 5016, 9381, 12610, 15844, 13412, 28820, 2423, 1347, 2638, 5296, 11296, 6055, 9957, 1975, 2655, 3215, 1211, 2655, 9957], "avg_logprob": -0.25599889563662664, "compression_ratio": 1.985645933014354, "no_speech_prob": 0.0, "words": [{"start": 2502.56, "end": 2503.02, "word": "بعد", "probability": 0.75634765625}, {"start": 2503.02, "end": 2503.84, "word": " هيك", "probability": 0.51611328125}, {"start": 2503.84, "end": 2504.42, "word": " النتيجة", "probability": 0.9215087890625}, {"start": 2504.42, "end": 2504.56, "word": " اللى", "probability": 0.806640625}, {"start": 2504.56, "end": 2505.2, "word": " تحصل", "probability": 0.9475911458333334}, {"start": 2505.2, "end": 2505.82, "word": " عليها", "probability": 0.98779296875}, {"start": 2505.82, "end": 2506.34, "word": " بدك", "probability": 0.802734375}, {"start": 2506.34, "end": 2507.62, "word": " تستخدمها", "probability": 0.99169921875}, {"start": 2507.62, "end": 2508.14, "word": " في", "probability": 0.479736328125}, {"start": 2508.14, "end": 2508.84, "word": " الحصول", "probability": 0.9806315104166666}, {"start": 2508.84, "end": 2509.12, "word": " على", "probability": 0.8427734375}, {"start": 2509.12, "end": 2509.56, "word": " power", "probability": 0.5341796875}, {"start": 2509.56, "end": 2510.16, "word": " series", "probability": 0.8779296875}, {"start": 2510.16, "end": 2510.76, "word": " لتو", "probability": 0.4317220052083333}, {"start": 2510.76, "end": 2511.38, "word": " functions", "probability": 0.61376953125}, {"start": 2511.38, "end": 2511.82, "word": " اللى", "probability": 0.95751953125}, {"start": 2511.82, "end": 2512.28, "word": " عندك", "probability": 0.988037109375}, {"start": 2512.28, "end": 2512.98, "word": " يعني", "probability": 0.87158203125}, {"start": 2512.98, "end": 2513.54, "word": " عملية", "probability": 0.98681640625}, {"start": 2513.54, "end": 2514.66, "word": " عكسية", "probability": 0.9915771484375}, {"start": 2514.66, "end": 2515.78, "word": " ماتيني", "probability": 0.5369873046875}, {"start": 2515.78, "end": 2516.1, "word": " power", "probability": 0.8798828125}, {"start": 2516.1, "end": 2516.56, "word": " series", "probability": 0.90380859375}, {"start": 2516.56, "end": 2516.82, "word": " بد", "probability": 0.61328125}, {"start": 2516.82, "end": 2517.68, "word": " اتدلتها", "probability": 0.7484334309895834}, {"start": 2517.68, "end": 2518.86, "word": " تبعتها", "probability": 0.755584716796875}, {"start": 2518.86, "end": 2519.46, "word": " يبقى", "probability": 0.932373046875}, {"start": 2519.46, "end": 2519.76, "word": " سعر", "probability": 0.8694661458333334}, {"start": 2519.76, "end": 2520.08, "word": " اندي", "probability": 0.53594970703125}, {"start": 2520.08, "end": 2520.34, "word": " دالة", "probability": 0.5721842447916666}, {"start": 2520.34, "end": 2520.46, "word": " و", "probability": 0.85107421875}, {"start": 2520.46, "end": 2520.68, "word": " سعر", "probability": 0.9493815104166666}, {"start": 2520.68, "end": 2520.98, "word": " power", "probability": 0.5205078125}, {"start": 2520.98, "end": 2521.22, "word": " series", "probability": 0.87255859375}, {"start": 2521.22, "end": 2521.46, "word": " بد", "probability": 0.1673583984375}, {"start": 2521.46, "end": 2522.14, "word": " تستخدم", "probability": 0.8876953125}, {"start": 2522.14, "end": 2522.42, "word": " هذه", "probability": 0.9130859375}, {"start": 2522.42, "end": 2523.44, "word": " النتيجة", "probability": 0.9835205078125}, {"start": 2523.44, "end": 2524.5, "word": " للحصول", "probability": 0.950439453125}, {"start": 2524.5, "end": 2524.82, "word": " على", "probability": 0.85400390625}, {"start": 2524.82, "end": 2525.56, "word": " شكل", "probability": 0.9814453125}, {"start": 2525.56, "end": 2525.84, "word": " ال", "probability": 0.947265625}, {"start": 2525.84, "end": 2526.32, "word": " power", "probability": 0.8974609375}, {"start": 2526.32, "end": 2527.16, "word": " series", "probability": 0.890625}, {"start": 2527.16, "end": 2527.82, "word": " لها", "probability": 0.669677734375}, {"start": 2527.82, "end": 2528.2, "word": " تين", "probability": 0.819091796875}, {"start": 2528.2, "end": 2529.26, "word": " اتدلتين", "probability": 0.9601236979166666}], "temperature": 1.0}, {"id": 102, "seek": 253821, "start": 2529.7, "end": 2538.22, "text": "كم مطموض عندي في السؤال؟ ثلاثة، خلّينا المطموض الأول نجيبه وبعدين بروح ندور على A وB", "tokens": [4117, 2304, 3714, 9566, 2304, 2407, 11242, 18871, 16254, 8978, 21136, 33604, 6027, 22807, 38637, 1211, 5718, 104, 3660, 12399, 16490, 1211, 11703, 9957, 995, 9673, 9566, 2304, 2407, 11242, 16247, 12610, 8717, 7435, 1829, 3555, 3224, 46599, 22488, 9957, 4724, 32887, 5016, 8717, 3215, 13063, 15844, 316, 4032, 33], "avg_logprob": -0.3226102859366174, "compression_ratio": 1.3017241379310345, "no_speech_prob": 0.0, "words": [{"start": 2529.7, "end": 2530.28, "word": "كم", "probability": 0.3250732421875}, {"start": 2530.28, "end": 2530.62, "word": " مطموض", "probability": 0.74267578125}, {"start": 2530.62, "end": 2530.86, "word": " عندي", "probability": 0.7086181640625}, {"start": 2530.86, "end": 2531.0, "word": " في", "probability": 0.9326171875}, {"start": 2531.0, "end": 2532.18, "word": " السؤال؟", "probability": 0.944091796875}, {"start": 2532.18, "end": 2533.76, "word": " ثلاثة،", "probability": 0.7625325520833334}, {"start": 2533.76, "end": 2534.4, "word": " خلّينا", "probability": 0.668896484375}, {"start": 2534.4, "end": 2534.78, "word": " المطموض", "probability": 0.98056640625}, {"start": 2534.78, "end": 2535.14, "word": " الأول", "probability": 0.975341796875}, {"start": 2535.14, "end": 2535.54, "word": " نجيبه", "probability": 0.92734375}, {"start": 2535.54, "end": 2535.92, "word": " وبعدين", "probability": 0.5249430338541666}, {"start": 2535.92, "end": 2536.3, "word": " بروح", "probability": 0.7230631510416666}, {"start": 2536.3, "end": 2536.7, "word": " ندور", "probability": 0.96337890625}, {"start": 2536.7, "end": 2536.98, "word": " على", "probability": 0.822265625}, {"start": 2536.98, "end": 2537.48, "word": " A", "probability": 0.71826171875}, {"start": 2537.48, "end": 2538.22, "word": " وB", "probability": 0.843994140625}], "temperature": 1.0}, {"id": 103, "seek": 256838, "start": 2538.66, "end": 2568.38, "text": "يبقى بدنا نيجي المطلوب الأول قبل ما نبدأ المطلوب الأول بدي أعرف ما هو الشكل ال power series اللي معطهالي هذه يبقى باجي بقوله summation من n equal zero to infinity لسالب واحد to the power n لل x to the power n هذه واحد ناقص x زائد x تربية ناقص x تكييب زائد ناقص واحد to the power n x to the power n زائد إلى آخرين", "tokens": [1829, 3555, 4587, 7578, 47525, 8315, 8717, 1829, 7435, 1829, 9673, 9566, 1211, 37746, 16247, 12610, 12174, 36150, 19446, 8717, 44510, 10721, 9673, 9566, 1211, 37746, 16247, 12610, 4724, 16254, 5551, 3615, 28480, 19446, 31439, 25124, 28820, 2423, 1347, 2638, 13672, 1829, 20449, 9566, 3224, 6027, 1829, 29538, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 3794, 6027, 3555, 36764, 24401, 281, 264, 1347, 297, 24976, 2031, 281, 264, 1347, 297, 29538, 36764, 24401, 8717, 995, 4587, 9381, 2031, 30767, 16373, 3215, 2031, 6055, 25513, 10632, 8717, 995, 4587, 9381, 2031, 6055, 4117, 1829, 1829, 3555, 30767, 16373, 3215, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 297, 2031, 281, 264, 1347, 297, 30767, 16373, 3215, 30731, 19753, 34740, 9957], "avg_logprob": -0.23094222830100494, "compression_ratio": 1.894736842105263, "no_speech_prob": 0.054962158203125, "words": [{"start": 2538.66, "end": 2539.1, "word": "يبقى", "probability": 0.7694091796875}, {"start": 2539.1, "end": 2539.42, "word": " بدنا", "probability": 0.34002685546875}, {"start": 2539.42, "end": 2539.64, "word": " نيجي", "probability": 0.7606201171875}, {"start": 2539.64, "end": 2540.14, "word": " المطلوب", "probability": 0.886962890625}, {"start": 2540.14, "end": 2540.54, "word": " الأول", "probability": 0.933837890625}, {"start": 2540.54, "end": 2540.98, "word": " قبل", "probability": 0.64892578125}, {"start": 2540.98, "end": 2541.14, "word": " ما", "probability": 0.83740234375}, {"start": 2541.14, "end": 2541.5, "word": " نبدأ", "probability": 0.9580078125}, {"start": 2541.5, "end": 2541.98, "word": " المطلوب", "probability": 0.9168701171875}, {"start": 2541.98, "end": 2542.42, "word": " الأول", "probability": 0.9658203125}, {"start": 2542.42, "end": 2542.76, "word": " بدي", "probability": 0.6937255859375}, {"start": 2542.76, "end": 2543.1, "word": " أعرف", "probability": 0.8850911458333334}, {"start": 2543.1, "end": 2543.48, "word": " ما", "probability": 0.93603515625}, {"start": 2543.48, "end": 2543.72, "word": " هو", "probability": 0.78955078125}, {"start": 2543.72, "end": 2544.38, "word": " الشكل", "probability": 0.78564453125}, {"start": 2544.38, "end": 2545.1, "word": " ال", "probability": 0.62548828125}, {"start": 2545.1, "end": 2545.42, "word": " power", "probability": 0.74072265625}, {"start": 2545.42, "end": 2545.98, "word": " series", "probability": 0.861328125}, {"start": 2545.98, "end": 2546.22, "word": " اللي", "probability": 0.8876953125}, {"start": 2546.22, "end": 2547.0, "word": " معطهالي", "probability": 0.6328125}, {"start": 2547.0, "end": 2547.32, "word": " هذه", "probability": 0.45751953125}, {"start": 2547.32, "end": 2548.06, "word": " يبقى", "probability": 0.9310302734375}, {"start": 2548.06, "end": 2548.44, "word": " باجي", "probability": 0.7631022135416666}, {"start": 2548.44, "end": 2548.94, "word": " بقوله", "probability": 0.8606770833333334}, {"start": 2548.94, "end": 2549.38, "word": " summation", "probability": 0.72216796875}, {"start": 2549.38, "end": 2549.98, "word": " من", "probability": 0.93994140625}, {"start": 2549.98, "end": 2550.24, "word": " n", "probability": 0.56591796875}, {"start": 2550.24, "end": 2550.7, "word": " equal", "probability": 0.21728515625}, {"start": 2550.7, "end": 2551.08, "word": " zero", "probability": 0.45654296875}, {"start": 2551.08, "end": 2551.3, "word": " to", "probability": 0.9375}, {"start": 2551.3, "end": 2551.82, "word": " infinity", "probability": 0.8603515625}, {"start": 2551.82, "end": 2552.58, "word": " لسالب", "probability": 0.6986083984375}, {"start": 2552.58, "end": 2552.96, "word": " واحد", "probability": 0.95166015625}, {"start": 2552.96, "end": 2553.18, "word": " to", "probability": 0.9599609375}, {"start": 2553.18, "end": 2553.36, "word": " the", "probability": 0.8974609375}, {"start": 2553.36, "end": 2553.88, "word": " power", "probability": 0.89599609375}, {"start": 2553.88, "end": 2554.32, "word": " n", "probability": 0.7548828125}, {"start": 2554.32, "end": 2555.04, "word": " لل", "probability": 0.78466796875}, {"start": 2555.04, "end": 2555.38, "word": " x", "probability": 0.36767578125}, {"start": 2555.38, "end": 2555.64, "word": " to", "probability": 0.93798828125}, {"start": 2555.64, "end": 2555.86, "word": " the", "probability": 0.91650390625}, {"start": 2555.86, "end": 2556.32, "word": " power", "probability": 0.89306640625}, {"start": 2556.32, "end": 2556.76, "word": " n", "probability": 0.92529296875}, {"start": 2556.76, "end": 2557.74, "word": " هذه", "probability": 0.5498046875}, {"start": 2557.74, "end": 2558.36, "word": " واحد", "probability": 0.97900390625}, {"start": 2558.36, "end": 2558.98, "word": " ناقص", "probability": 0.969970703125}, {"start": 2558.98, "end": 2559.42, "word": " x", "probability": 0.92626953125}, {"start": 2559.42, "end": 2559.9, "word": " زائد", "probability": 0.7496744791666666}, {"start": 2559.9, "end": 2560.18, "word": " x", "probability": 0.98046875}, {"start": 2560.18, "end": 2560.78, "word": " تربية", "probability": 0.619140625}, {"start": 2560.78, "end": 2561.4, "word": " ناقص", "probability": 0.9893798828125}, {"start": 2561.4, "end": 2561.68, "word": " x", "probability": 0.97314453125}, {"start": 2561.68, "end": 2562.38, "word": " تكييب", "probability": 0.77265625}, {"start": 2562.38, "end": 2563.42, "word": " زائد", "probability": 0.96337890625}, {"start": 2563.42, "end": 2563.92, "word": " ناقص", "probability": 0.9898681640625}, {"start": 2563.92, "end": 2564.3, "word": " واحد", "probability": 0.97265625}, {"start": 2564.3, "end": 2564.5, "word": " to", "probability": 0.978515625}, {"start": 2564.5, "end": 2564.72, "word": " the", "probability": 0.92822265625}, {"start": 2564.72, "end": 2565.12, "word": " power", "probability": 0.884765625}, {"start": 2565.12, "end": 2565.52, "word": " n", "probability": 0.9541015625}, {"start": 2565.52, "end": 2565.94, "word": " x", "probability": 0.83935546875}, {"start": 2565.94, "end": 2566.16, "word": " to", "probability": 0.95361328125}, {"start": 2566.16, "end": 2566.34, "word": " the", "probability": 0.912109375}, {"start": 2566.34, "end": 2566.66, "word": " power", "probability": 0.87841796875}, {"start": 2566.66, "end": 2566.92, "word": " n", "probability": 0.9619140625}, {"start": 2566.92, "end": 2567.4, "word": " زائد", "probability": 0.94873046875}, {"start": 2567.4, "end": 2567.68, "word": " إلى", "probability": 0.74755859375}, {"start": 2567.68, "end": 2568.38, "word": " آخرين", "probability": 0.9410807291666666}], "temperature": 1.0}, {"id": 104, "seek": 259840, "start": 2570.08, "end": 2598.4, "text": "طيب السؤال هو مين ال series هذه هل واحدة هذه من التلاتة series المشهورة ال geometric ال P ال harmonic هذه واحدة منهم geometric ليش اجسم اي حد على السابق له بطلع كله سالب X يبقى هذه بقوله convert geometric series", "tokens": [9566, 1829, 3555, 21136, 33604, 6027, 31439, 3714, 9957, 2423, 2638, 29538, 8032, 1211, 36764, 24401, 3660, 29538, 9154, 16712, 1211, 9307, 3660, 2638, 9673, 8592, 3224, 13063, 3660, 2423, 33246, 2423, 430, 2423, 32270, 29538, 36764, 24401, 3660, 9154, 16095, 33246, 32239, 8592, 1975, 7435, 38251, 1975, 1829, 11331, 3215, 15844, 21136, 16758, 4587, 46740, 4724, 9566, 1211, 3615, 28242, 3224, 8608, 6027, 3555, 1783, 7251, 3555, 4587, 7578, 29538, 4724, 39648, 3224, 7620, 33246, 2638], "avg_logprob": -0.21414262572160134, "compression_ratio": 1.7112299465240641, "no_speech_prob": 0.0, "words": [{"start": 2570.08, "end": 2570.38, "word": "طيب", "probability": 0.5591634114583334}, {"start": 2570.38, "end": 2570.88, "word": " السؤال", "probability": 0.9677734375}, {"start": 2570.88, "end": 2571.22, "word": " هو", "probability": 0.9423828125}, {"start": 2571.22, "end": 2573.2, "word": " مين", "probability": 0.75048828125}, {"start": 2573.2, "end": 2573.34, "word": " ال", "probability": 0.90869140625}, {"start": 2573.34, "end": 2573.62, "word": " series", "probability": 0.89990234375}, {"start": 2573.62, "end": 2574.0, "word": " هذه", "probability": 0.68896484375}, {"start": 2574.0, "end": 2574.3, "word": " هل", "probability": 0.6234130859375}, {"start": 2574.3, "end": 2574.88, "word": " واحدة", "probability": 0.96875}, {"start": 2574.88, "end": 2575.3, "word": " هذه", "probability": 0.69873046875}, {"start": 2575.3, "end": 2575.52, "word": " من", "probability": 0.96875}, {"start": 2575.52, "end": 2576.1, "word": " التلاتة", "probability": 0.9013671875}, {"start": 2576.1, "end": 2576.44, "word": " series", "probability": 0.93408203125}, {"start": 2576.44, "end": 2577.36, "word": " المشهورة", "probability": 0.98935546875}, {"start": 2577.36, "end": 2579.04, "word": " ال", "probability": 0.837890625}, {"start": 2579.04, "end": 2579.54, "word": " geometric", "probability": 0.66552734375}, {"start": 2579.54, "end": 2579.88, "word": " ال", "probability": 0.79541015625}, {"start": 2579.88, "end": 2580.04, "word": " P", "probability": 0.693359375}, {"start": 2580.04, "end": 2580.16, "word": " ال", "probability": 0.8486328125}, {"start": 2580.16, "end": 2580.58, "word": " harmonic", "probability": 0.60498046875}, {"start": 2580.58, "end": 2582.4, "word": " هذه", "probability": 0.45849609375}, {"start": 2582.4, "end": 2582.74, "word": " واحدة", "probability": 0.9923502604166666}, {"start": 2582.74, "end": 2583.14, "word": " منهم", "probability": 0.98486328125}, {"start": 2583.14, "end": 2585.3, "word": " geometric", "probability": 0.337646484375}, {"start": 2585.3, "end": 2586.12, "word": " ليش", "probability": 0.6923828125}, {"start": 2586.12, "end": 2587.24, "word": " اجسم", "probability": 0.82666015625}, {"start": 2587.24, "end": 2587.74, "word": " اي", "probability": 0.75634765625}, {"start": 2587.74, "end": 2588.26, "word": " حد", "probability": 0.9931640625}, {"start": 2588.26, "end": 2588.6, "word": " على", "probability": 0.91455078125}, {"start": 2588.6, "end": 2589.26, "word": " السابق", "probability": 0.9812825520833334}, {"start": 2589.26, "end": 2589.5, "word": " له", "probability": 0.489990234375}, {"start": 2589.5, "end": 2590.02, "word": " بطلع", "probability": 0.81732177734375}, {"start": 2590.02, "end": 2590.44, "word": " كله", "probability": 0.977294921875}, {"start": 2590.44, "end": 2591.2, "word": " سالب", "probability": 0.87548828125}, {"start": 2591.2, "end": 2591.7, "word": " X", "probability": 0.79443359375}, {"start": 2591.7, "end": 2592.82, "word": " يبقى", "probability": 0.958984375}, {"start": 2592.82, "end": 2593.22, "word": " هذه", "probability": 0.78466796875}, {"start": 2593.22, "end": 2594.24, "word": " بقوله", "probability": 0.830078125}, {"start": 2594.24, "end": 2595.18, "word": " convert", "probability": 0.5400390625}, {"start": 2595.18, "end": 2597.0, "word": " geometric", "probability": 0.86474609375}, {"start": 2597.0, "end": 2598.4, "word": " series", "probability": 0.92724609375}], "temperature": 1.0}, {"id": 105, "seek": 262751, "start": 2599.19, "end": 2627.51, "text": "إذا كان ال absolute value ل R هو absolute value ل سلب X قداش absolute value ل سلب X أليس هو absolute value ل X وهذا يجب أن يكون أقل من واحد إذا كان ال absolute value ل X أقل من واحد إذا كان ال absolute value ل X أقل من واحد إذا كان ال absolute value ل X أقل من واحد إذا كان ال absolute value ل X أقل من واحد إذا كان ال absolute value ل X أقل من واحد إذا كان ال absolute value ل X أقل من واحد", "tokens": [28814, 15730, 25961, 2423, 8236, 2158, 5296, 497, 31439, 8236, 2158, 5296, 8608, 46152, 1783, 12174, 3215, 33599, 8236, 2158, 5296, 8608, 46152, 1783, 5551, 20292, 3794, 31439, 8236, 2158, 5296, 1783, 37037, 15730, 7251, 7435, 3555, 14739, 7251, 30544, 5551, 4587, 1211, 9154, 36764, 24401, 11933, 15730, 25961, 2423, 8236, 2158, 5296, 1783, 5551, 4587, 1211, 9154, 36764, 24401, 11933, 15730, 25961, 2423, 8236, 2158, 5296, 1783, 5551, 4587, 1211, 9154, 36764, 24401, 11933, 15730, 25961, 2423, 8236, 2158, 5296, 1783, 5551, 4587, 1211, 9154, 36764, 24401, 11933, 15730, 25961, 2423, 8236, 2158, 5296, 1783, 5551, 4587, 1211, 9154, 36764, 24401, 11933, 15730, 25961, 2423, 8236, 2158, 5296, 1783, 5551, 4587, 1211, 9154, 36764, 24401, 11933, 15730, 25961, 2423, 8236, 2158, 5296, 1783, 5551, 4587, 1211, 9154, 36764, 24401], "avg_logprob": -0.19310591330055063, "compression_ratio": 4.3046875, "no_speech_prob": 0.0, "words": [{"start": 2599.19, "end": 2599.73, "word": "إذا", "probability": 0.61083984375}, {"start": 2599.73, "end": 2600.33, "word": " كان", "probability": 0.98193359375}, {"start": 2600.33, "end": 2600.57, "word": " ال", "probability": 0.75927734375}, {"start": 2600.57, "end": 2601.09, "word": " absolute", "probability": 0.3466796875}, {"start": 2601.09, "end": 2601.81, "word": " value", "probability": 0.97802734375}, {"start": 2601.81, "end": 2602.01, "word": " ل", "probability": 0.75927734375}, {"start": 2602.01, "end": 2602.35, "word": " R", "probability": 0.1365966796875}, {"start": 2602.35, "end": 2602.71, "word": " هو", "probability": 0.9423828125}, {"start": 2602.71, "end": 2603.39, "word": " absolute", "probability": 0.888671875}, {"start": 2603.39, "end": 2604.19, "word": " value", "probability": 0.98876953125}, {"start": 2604.19, "end": 2604.41, "word": " ل", "probability": 0.796875}, {"start": 2604.41, "end": 2604.95, "word": " سلب", "probability": 0.54693603515625}, {"start": 2604.95, "end": 2605.31, "word": " X", "probability": 0.9453125}, {"start": 2605.31, "end": 2606.17, "word": " قداش", "probability": 0.63232421875}, {"start": 2606.17, "end": 2606.53, "word": " absolute", "probability": 0.76513671875}, {"start": 2606.53, "end": 2606.91, "word": " value", "probability": 0.98779296875}, {"start": 2606.91, "end": 2607.07, "word": " ل", "probability": 0.94189453125}, {"start": 2607.07, "end": 2607.57, "word": " سلب", "probability": 0.93115234375}, {"start": 2607.57, "end": 2607.89, "word": " X", "probability": 0.98583984375}, {"start": 2607.89, "end": 2608.81, "word": " أليس", "probability": 0.7603352864583334}, {"start": 2608.81, "end": 2609.35, "word": " هو", "probability": 0.9853515625}, {"start": 2609.35, "end": 2610.33, "word": " absolute", "probability": 0.892578125}, {"start": 2610.33, "end": 2610.93, "word": " value", "probability": 0.9912109375}, {"start": 2610.93, "end": 2611.11, "word": " ل", "probability": 0.97900390625}, {"start": 2611.11, "end": 2611.49, "word": " X", "probability": 0.9853515625}, {"start": 2611.49, "end": 2611.99, "word": " وهذا", "probability": 0.764404296875}, {"start": 2611.99, "end": 2612.41, "word": " يجب", "probability": 0.5682779947916666}, {"start": 2612.41, "end": 2612.41, "word": " أن", "probability": 0.80078125}, {"start": 2612.41, "end": 2612.75, "word": " يكون", "probability": 0.9853515625}, {"start": 2612.75, "end": 2613.15, "word": " أقل", "probability": 0.9353841145833334}, {"start": 2613.15, "end": 2613.35, "word": " من", "probability": 0.9814453125}, {"start": 2613.35, "end": 2613.85, "word": " واحد", "probability": 0.7744140625}, {"start": 2613.85, "end": 2614.71, "word": " إذا", "probability": 0.6656494140625}, {"start": 2614.71, "end": 2615.29, "word": " كان", "probability": 0.154052734375}, {"start": 2615.29, "end": 2615.61, "word": " ال", "probability": 0.70361328125}, {"start": 2615.61, "end": 2615.83, "word": " absolute", "probability": 0.92236328125}, {"start": 2615.83, "end": 2615.83, "word": " value", "probability": 0.986328125}, {"start": 2615.83, "end": 2615.83, "word": " ل", "probability": 0.95068359375}, {"start": 2615.83, "end": 2615.83, "word": " X", "probability": 0.98974609375}, {"start": 2615.83, "end": 2615.83, "word": " أقل", "probability": 0.88232421875}, {"start": 2615.83, "end": 2615.83, "word": " من", "probability": 0.95361328125}, {"start": 2615.83, "end": 2615.83, "word": " واحد", "probability": 0.902099609375}, {"start": 2615.83, "end": 2615.83, "word": " إذا", "probability": 0.6385498046875}, {"start": 2615.83, "end": 2615.91, "word": " كان", "probability": 0.87841796875}, {"start": 2615.91, "end": 2616.37, "word": " ال", "probability": 0.93017578125}, {"start": 2616.37, "end": 2616.83, "word": " absolute", "probability": 0.97314453125}, {"start": 2616.83, "end": 2616.83, "word": " value", "probability": 0.9873046875}, {"start": 2616.83, "end": 2616.83, "word": " ل", "probability": 0.97412109375}, {"start": 2616.83, "end": 2617.91, "word": " X", "probability": 0.9755859375}, {"start": 2617.91, "end": 2617.95, "word": " أقل", "probability": 0.87255859375}, {"start": 2617.95, "end": 2617.95, "word": " من", "probability": 0.99072265625}, {"start": 2617.95, "end": 2617.95, "word": " واحد", "probability": 0.9716796875}, {"start": 2617.95, "end": 2618.13, "word": " إذا", "probability": 0.779296875}, {"start": 2618.13, "end": 2618.59, "word": " كان", "probability": 0.95361328125}, {"start": 2618.59, "end": 2618.77, "word": " ال", "probability": 0.986328125}, {"start": 2618.77, "end": 2619.25, "word": " absolute", "probability": 0.9775390625}, {"start": 2619.25, "end": 2619.83, "word": " value", "probability": 0.98681640625}, {"start": 2619.83, "end": 2620.09, "word": " ل", "probability": 0.9853515625}, {"start": 2620.09, "end": 2620.45, "word": " X", "probability": 0.9853515625}, {"start": 2620.45, "end": 2621.95, "word": " أقل", "probability": 0.9658203125}, {"start": 2621.95, "end": 2622.09, "word": " من", "probability": 0.99462890625}, {"start": 2622.09, "end": 2622.21, "word": " واحد", "probability": 0.977783203125}, {"start": 2622.21, "end": 2622.47, "word": " إذا", "probability": 0.822265625}, {"start": 2622.47, "end": 2622.69, "word": " كان", "probability": 0.9716796875}, {"start": 2622.69, "end": 2622.69, "word": " ال", "probability": 0.990234375}, {"start": 2622.69, "end": 2622.69, "word": " absolute", "probability": 0.97216796875}, {"start": 2622.69, "end": 2622.69, "word": " value", "probability": 0.986328125}, {"start": 2622.69, "end": 2622.69, "word": " ل", "probability": 0.98681640625}, {"start": 2622.69, "end": 2622.69, "word": " X", "probability": 0.99365234375}, {"start": 2622.69, "end": 2622.91, "word": " أقل", "probability": 0.9752604166666666}, {"start": 2622.91, "end": 2622.91, "word": " من", "probability": 0.9951171875}, {"start": 2622.91, "end": 2622.91, "word": " واحد", "probability": 0.978515625}, {"start": 2622.91, "end": 2622.91, "word": " إذا", "probability": 0.85986328125}, {"start": 2622.91, "end": 2622.91, "word": " كان", "probability": 0.9814453125}, {"start": 2622.91, "end": 2622.91, "word": " ال", "probability": 0.9892578125}, {"start": 2622.91, "end": 2622.91, "word": " absolute", "probability": 0.96826171875}, {"start": 2622.91, "end": 2623.23, "word": " value", "probability": 0.986328125}, {"start": 2623.23, "end": 2623.25, "word": " ل", "probability": 0.98583984375}, {"start": 2623.25, "end": 2623.25, "word": " X", "probability": 0.99609375}, {"start": 2623.25, "end": 2623.83, "word": " أقل", "probability": 0.98095703125}, {"start": 2623.83, "end": 2624.03, "word": " من", "probability": 0.99560546875}, {"start": 2624.03, "end": 2624.63, "word": " واحد", "probability": 0.97900390625}, {"start": 2624.63, "end": 2625.51, "word": " إذا", "probability": 0.882568359375}, {"start": 2625.51, "end": 2625.65, "word": " كان", "probability": 0.98486328125}, {"start": 2625.65, "end": 2626.03, "word": " ال", "probability": 0.9873046875}, {"start": 2626.03, "end": 2626.03, "word": " absolute", "probability": 0.96630859375}, {"start": 2626.03, "end": 2626.03, "word": " value", "probability": 0.986328125}, {"start": 2626.03, "end": 2626.67, "word": " ل", "probability": 0.9853515625}, {"start": 2626.67, "end": 2627.37, "word": " X", "probability": 0.9970703125}, {"start": 2627.37, "end": 2627.51, "word": " أقل", "probability": 0.98583984375}, {"start": 2627.51, "end": 2627.51, "word": " من", "probability": 0.99609375}, {"start": 2627.51, "end": 2627.51, "word": " واحد", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 106, "seek": 263812, "start": 2627.54, "end": 2638.12, "text": "interval of convergence as سالب واحد و واحد", "tokens": [5106, 3337, 295, 32181, 382, 8608, 6027, 3555, 36764, 24401, 4032, 36764, 24401], "avg_logprob": -0.35742186861378805, "compression_ratio": 0.9824561403508771, "no_speech_prob": 0.0, "words": [{"start": 2627.54, "end": 2629.52, "word": "interval", "probability": 0.57537841796875}, {"start": 2629.52, "end": 2630.96, "word": " of", "probability": 0.84521484375}, {"start": 2630.96, "end": 2633.66, "word": " convergence", "probability": 0.9580078125}, {"start": 2633.66, "end": 2635.9, "word": " as", "probability": 0.69775390625}, {"start": 2635.9, "end": 2637.08, "word": " سالب", "probability": 0.5295817057291666}, {"start": 2637.08, "end": 2637.56, "word": " واحد", "probability": 0.976806640625}, {"start": 2637.56, "end": 2637.78, "word": " و", "probability": 0.7958984375}, {"start": 2637.78, "end": 2638.12, "word": " واحد", "probability": 0.78125}], "temperature": 1.0}, {"id": 107, "seek": 266779, "start": 2642.49, "end": 2667.79, "text": "يبقى الرياضة اصلا كده؟ برضه واحد بهمني شرية دي الصينة خلاص نجيبناله فترة التقارب تبع ال series يبقى على فترة التقارب من سلب واحد إلى واحد بقدر اوجد مجموع هذه ال series جالي هاتلي الدالة التي تمثل هذه ال power series يبقى باجي بقوله the sum", "tokens": [1829, 3555, 4587, 7578, 2423, 16572, 46958, 3660, 1975, 9381, 15040, 9122, 3215, 3224, 22807, 4724, 43042, 3224, 36764, 24401, 4724, 16095, 22653, 13412, 2288, 10632, 11778, 1829, 31767, 9957, 3660, 16490, 1211, 33546, 8717, 7435, 1829, 3555, 1863, 6027, 3224, 6156, 2655, 25720, 16712, 4587, 9640, 3555, 6055, 3555, 3615, 2423, 2638, 7251, 3555, 4587, 7578, 15844, 6156, 2655, 25720, 16712, 4587, 9640, 3555, 9154, 8608, 46152, 36764, 24401, 30731, 36764, 24401, 4724, 28543, 2288, 1975, 29245, 3215, 3714, 7435, 2304, 45367, 29538, 2423, 2638, 10874, 6027, 1829, 8032, 9307, 20292, 32748, 6027, 3660, 38392, 46811, 12984, 1211, 29538, 2423, 1347, 2638, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 264, 2408], "avg_logprob": -0.21147629438803114, "compression_ratio": 1.853211009174312, "no_speech_prob": 0.0, "words": [{"start": 2642.49, "end": 2642.83, "word": "يبقى", "probability": 0.748565673828125}, {"start": 2642.83, "end": 2643.09, "word": " الرياضة", "probability": 0.67431640625}, {"start": 2643.09, "end": 2643.27, "word": " اصلا", "probability": 0.4777425130208333}, {"start": 2643.27, "end": 2643.81, "word": " كده؟", "probability": 0.8463134765625}, {"start": 2643.81, "end": 2644.73, "word": " برضه", "probability": 0.7526041666666666}, {"start": 2644.73, "end": 2645.11, "word": " واحد", "probability": 0.95263671875}, {"start": 2645.11, "end": 2645.93, "word": " بهمني", "probability": 0.5465901692708334}, {"start": 2645.93, "end": 2646.37, "word": " شرية", "probability": 0.526611328125}, {"start": 2646.37, "end": 2646.49, "word": " دي", "probability": 0.87890625}, {"start": 2646.49, "end": 2647.13, "word": " الصينة", "probability": 0.8515625}, {"start": 2647.13, "end": 2647.69, "word": " خلاص", "probability": 0.94384765625}, {"start": 2647.69, "end": 2648.35, "word": " نجيبناله", "probability": 0.7832728794642857}, {"start": 2648.35, "end": 2648.77, "word": " فترة", "probability": 0.9871419270833334}, {"start": 2648.77, "end": 2649.79, "word": " التقارب", "probability": 0.9923095703125}, {"start": 2649.79, "end": 2650.57, "word": " تبع", "probability": 0.96044921875}, {"start": 2650.57, "end": 2650.75, "word": " ال", "probability": 0.7294921875}, {"start": 2650.75, "end": 2651.09, "word": " series", "probability": 0.89892578125}, {"start": 2651.09, "end": 2651.87, "word": " يبقى", "probability": 0.962890625}, {"start": 2651.87, "end": 2652.45, "word": " على", "probability": 0.90966796875}, {"start": 2652.45, "end": 2652.95, "word": " فترة", "probability": 0.9944661458333334}, {"start": 2652.95, "end": 2653.65, "word": " التقارب", "probability": 0.996337890625}, {"start": 2653.65, "end": 2653.87, "word": " من", "probability": 0.9921875}, {"start": 2653.87, "end": 2654.21, "word": " سلب", "probability": 0.58251953125}, {"start": 2654.21, "end": 2654.61, "word": " واحد", "probability": 0.931640625}, {"start": 2654.61, "end": 2654.91, "word": " إلى", "probability": 0.5908203125}, {"start": 2654.91, "end": 2655.33, "word": " واحد", "probability": 0.988037109375}, {"start": 2655.33, "end": 2656.07, "word": " بقدر", "probability": 0.98291015625}, {"start": 2656.07, "end": 2656.77, "word": " اوجد", "probability": 0.7957356770833334}, {"start": 2656.77, "end": 2657.51, "word": " مجموع", "probability": 0.885986328125}, {"start": 2657.51, "end": 2658.17, "word": " هذه", "probability": 0.962890625}, {"start": 2658.17, "end": 2658.99, "word": " ال", "probability": 0.962890625}, {"start": 2658.99, "end": 2659.55, "word": " series", "probability": 0.9609375}, {"start": 2659.55, "end": 2660.21, "word": " جالي", "probability": 0.69580078125}, {"start": 2660.21, "end": 2660.81, "word": " هاتلي", "probability": 0.7880859375}, {"start": 2660.81, "end": 2661.53, "word": " الدالة", "probability": 0.9446614583333334}, {"start": 2661.53, "end": 2661.89, "word": " التي", "probability": 0.654296875}, {"start": 2661.89, "end": 2662.69, "word": " تمثل", "probability": 0.990234375}, {"start": 2662.69, "end": 2662.99, "word": " هذه", "probability": 0.982421875}, {"start": 2662.99, "end": 2663.21, "word": " ال", "probability": 0.9375}, {"start": 2663.21, "end": 2663.71, "word": " power", "probability": 0.80224609375}, {"start": 2663.71, "end": 2664.93, "word": " series", "probability": 0.9091796875}, {"start": 2664.93, "end": 2665.67, "word": " يبقى", "probability": 0.9847412109375}, {"start": 2665.67, "end": 2666.13, "word": " باجي", "probability": 0.8761393229166666}, {"start": 2666.13, "end": 2666.77, "word": " بقوله", "probability": 0.8196614583333334}, {"start": 2666.77, "end": 2667.03, "word": " the", "probability": 0.454833984375}, {"start": 2667.03, "end": 2667.79, "word": " sum", "probability": 0.91259765625}], "temperature": 1.0}, {"id": 108, "seek": 269488, "start": 2669.44, "end": 2694.88, "text": "of the series S ال S تساوي الحد الأول على واحد ناقص الأساس هذا شو بيعطينا؟ هذا بيعطينا أن ال S يساوي واحد على واحد زائد ال X أليس هذه function في X؟", "tokens": [2670, 264, 2638, 318, 2423, 318, 6055, 3794, 995, 45865, 21542, 3215, 16247, 12610, 15844, 36764, 24401, 8717, 995, 4587, 9381, 16247, 3794, 32277, 23758, 13412, 2407, 4724, 1829, 3615, 9566, 1829, 8315, 22807, 23758, 4724, 1829, 3615, 9566, 1829, 8315, 14739, 2423, 318, 7251, 3794, 995, 45865, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 2423, 1783, 5551, 20292, 3794, 29538, 2445, 8978, 1783, 22807], "avg_logprob": -0.1921641719875051, "compression_ratio": 1.5894039735099337, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2669.44, "end": 2670.18, "word": "of", "probability": 0.50048828125}, {"start": 2670.18, "end": 2671.4, "word": " the", "probability": 0.86865234375}, {"start": 2671.4, "end": 2672.52, "word": " series", "probability": 0.92724609375}, {"start": 2672.52, "end": 2673.8, "word": " S", "probability": 0.68359375}, {"start": 2673.8, "end": 2674.82, "word": " ال", "probability": 0.576171875}, {"start": 2674.82, "end": 2675.32, "word": " S", "probability": 0.4287109375}, {"start": 2675.32, "end": 2676.08, "word": " تساوي", "probability": 0.78466796875}, {"start": 2676.08, "end": 2676.78, "word": " الحد", "probability": 0.988037109375}, {"start": 2676.78, "end": 2677.7, "word": " الأول", "probability": 0.9716796875}, {"start": 2677.7, "end": 2678.54, "word": " على", "probability": 0.82958984375}, {"start": 2678.54, "end": 2679.4, "word": " واحد", "probability": 0.982666015625}, {"start": 2679.4, "end": 2680.54, "word": " ناقص", "probability": 0.8548583984375}, {"start": 2680.54, "end": 2681.6, "word": " الأساس", "probability": 0.9208984375}, {"start": 2681.6, "end": 2683.28, "word": " هذا", "probability": 0.81201171875}, {"start": 2683.28, "end": 2683.58, "word": " شو", "probability": 0.668212890625}, {"start": 2683.58, "end": 2684.9, "word": " بيعطينا؟", "probability": 0.8302525111607143}, {"start": 2684.9, "end": 2685.28, "word": " هذا", "probability": 0.76904296875}, {"start": 2685.28, "end": 2686.2, "word": " بيعطينا", "probability": 0.9264322916666666}, {"start": 2686.2, "end": 2686.78, "word": " أن", "probability": 0.39501953125}, {"start": 2686.78, "end": 2687.1, "word": " ال", "probability": 0.84130859375}, {"start": 2687.1, "end": 2687.52, "word": " S", "probability": 0.95361328125}, {"start": 2687.52, "end": 2688.62, "word": " يساوي", "probability": 0.938232421875}, {"start": 2688.62, "end": 2689.18, "word": " واحد", "probability": 0.955078125}, {"start": 2689.18, "end": 2689.46, "word": " على", "probability": 0.837890625}, {"start": 2689.46, "end": 2690.1, "word": " واحد", "probability": 0.9892578125}, {"start": 2690.1, "end": 2690.74, "word": " زائد", "probability": 0.95556640625}, {"start": 2690.74, "end": 2691.06, "word": " ال", "probability": 0.76806640625}, {"start": 2691.06, "end": 2691.46, "word": " X", "probability": 0.98095703125}, {"start": 2691.46, "end": 2692.58, "word": " أليس", "probability": 0.7667643229166666}, {"start": 2692.58, "end": 2693.04, "word": " هذه", "probability": 0.472900390625}, {"start": 2693.04, "end": 2693.8, "word": " function", "probability": 0.68701171875}, {"start": 2693.8, "end": 2694.24, "word": " في", "probability": 0.984375}, {"start": 2694.24, "end": 2694.88, "word": " X؟", "probability": 0.951416015625}], "temperature": 1.0}, {"id": 109, "seek": 272181, "start": 2695.61, "end": 2721.81, "text": "صح ولا لا؟ يبقى هذه بدها تساوي ال F of X تمام تمام يبقى هاي كتبتله المجموع تبع ال series as a function هات ال F of X التي تمثل بال power series يبقى كأنه جمعت ال power series فطلها المجموع بالشكل هذا يبقى هذا الذي يساوي من", "tokens": [9381, 5016, 49429, 20193, 22807, 7251, 3555, 4587, 7578, 29538, 47525, 11296, 6055, 3794, 995, 45865, 2423, 479, 295, 1783, 46811, 10943, 46811, 10943, 7251, 3555, 4587, 7578, 8032, 47302, 9122, 2655, 3555, 2655, 43761, 9673, 7435, 2304, 45367, 6055, 3555, 3615, 2423, 2638, 382, 257, 2445, 8032, 9307, 2423, 479, 295, 1783, 38392, 46811, 12984, 1211, 20666, 1347, 2638, 7251, 3555, 4587, 7578, 9122, 33456, 3224, 10874, 2304, 34268, 2423, 1347, 2638, 6156, 9566, 1211, 11296, 9673, 7435, 2304, 45367, 20666, 8592, 28820, 23758, 7251, 3555, 4587, 7578, 23758, 43527, 7251, 3794, 995, 45865, 9154], "avg_logprob": -0.1842783554313109, "compression_ratio": 1.794871794871795, "no_speech_prob": 0.0, "words": [{"start": 2695.61, "end": 2695.93, "word": "صح", "probability": 0.55731201171875}, {"start": 2695.93, "end": 2696.17, "word": " ولا", "probability": 0.8544921875}, {"start": 2696.17, "end": 2696.85, "word": " لا؟", "probability": 0.67822265625}, {"start": 2696.85, "end": 2697.37, "word": " يبقى", "probability": 0.878173828125}, {"start": 2697.37, "end": 2697.67, "word": " هذه", "probability": 0.44482421875}, {"start": 2697.67, "end": 2698.25, "word": " بدها", "probability": 0.788330078125}, {"start": 2698.25, "end": 2698.99, "word": " تساوي", "probability": 0.8443603515625}, {"start": 2698.99, "end": 2699.21, "word": " ال", "probability": 0.5478515625}, {"start": 2699.21, "end": 2700.07, "word": " F", "probability": 0.390380859375}, {"start": 2700.07, "end": 2700.57, "word": " of", "probability": 0.7353515625}, {"start": 2700.57, "end": 2701.13, "word": " X", "probability": 0.97900390625}, {"start": 2701.13, "end": 2702.63, "word": " تمام", "probability": 0.76806640625}, {"start": 2702.63, "end": 2703.19, "word": " تمام", "probability": 0.6676025390625}, {"start": 2703.19, "end": 2704.19, "word": " يبقى", "probability": 0.9073486328125}, {"start": 2704.19, "end": 2704.67, "word": " هاي", "probability": 0.5364990234375}, {"start": 2704.67, "end": 2705.95, "word": " كتبتله", "probability": 0.89072265625}, {"start": 2705.95, "end": 2707.51, "word": " المجموع", "probability": 0.9503173828125}, {"start": 2707.51, "end": 2708.15, "word": " تبع", "probability": 0.9427083333333334}, {"start": 2708.15, "end": 2708.37, "word": " ال", "probability": 0.83349609375}, {"start": 2708.37, "end": 2708.73, "word": " series", "probability": 0.85546875}, {"start": 2708.73, "end": 2709.49, "word": " as", "probability": 0.78857421875}, {"start": 2709.49, "end": 2709.99, "word": " a", "probability": 0.953125}, {"start": 2709.99, "end": 2710.69, "word": " function", "probability": 0.96630859375}, {"start": 2710.69, "end": 2711.49, "word": " هات", "probability": 0.4261474609375}, {"start": 2711.49, "end": 2711.61, "word": " ال", "probability": 0.75537109375}, {"start": 2711.61, "end": 2711.79, "word": " F", "probability": 0.96337890625}, {"start": 2711.79, "end": 2711.99, "word": " of", "probability": 0.96435546875}, {"start": 2711.99, "end": 2712.23, "word": " X", "probability": 0.99462890625}, {"start": 2712.23, "end": 2712.71, "word": " التي", "probability": 0.8623046875}, {"start": 2712.71, "end": 2713.43, "word": " تمثل", "probability": 0.9871419270833334}, {"start": 2713.43, "end": 2713.67, "word": " بال", "probability": 0.96484375}, {"start": 2713.67, "end": 2714.11, "word": " power", "probability": 0.65771484375}, {"start": 2714.11, "end": 2714.69, "word": " series", "probability": 0.91796875}, {"start": 2714.69, "end": 2715.37, "word": " يبقى", "probability": 0.9791259765625}, {"start": 2715.37, "end": 2715.81, "word": " كأنه", "probability": 0.908203125}, {"start": 2715.81, "end": 2716.31, "word": " جمعت", "probability": 0.9288736979166666}, {"start": 2716.31, "end": 2716.49, "word": " ال", "probability": 0.71630859375}, {"start": 2716.49, "end": 2716.89, "word": " power", "probability": 0.89453125}, {"start": 2716.89, "end": 2717.31, "word": " series", "probability": 0.91455078125}, {"start": 2717.31, "end": 2717.85, "word": " فطلها", "probability": 0.9478759765625}, {"start": 2717.85, "end": 2718.39, "word": " المجموع", "probability": 0.9794921875}, {"start": 2718.39, "end": 2718.95, "word": " بالشكل", "probability": 0.93408203125}, {"start": 2718.95, "end": 2719.33, "word": " هذا", "probability": 0.962890625}, {"start": 2719.33, "end": 2720.15, "word": " يبقى", "probability": 0.9815673828125}, {"start": 2720.15, "end": 2720.43, "word": " هذا", "probability": 0.97412109375}, {"start": 2720.43, "end": 2720.85, "word": " الذي", "probability": 0.67236328125}, {"start": 2720.85, "end": 2721.55, "word": " يساوي", "probability": 0.976318359375}, {"start": 2721.55, "end": 2721.81, "word": " من", "probability": 0.82470703125}], "temperature": 1.0}, {"id": 110, "seek": 274326, "start": 2722.34, "end": 2743.26, "text": "F of X. إذا خلصنا المطلوب الأول جيبنا دالة ان ال power series عندها المُعطَع يبقى ال power series كان هبقى L 1 على 1 زائد X. تمام؟ طبعا كويس. بدنا نيجي الآن للمطلوب الأول", "tokens": [37, 295, 1783, 13, 11933, 15730, 16490, 1211, 9381, 8315, 9673, 9566, 1211, 37746, 16247, 12610, 10874, 1829, 3555, 8315, 11778, 6027, 3660, 16472, 2423, 1347, 2638, 43242, 11296, 9673, 10859, 3615, 9566, 6808, 3615, 7251, 3555, 4587, 7578, 2423, 1347, 2638, 25961, 8032, 3555, 4587, 7578, 441, 502, 15844, 502, 30767, 16373, 3215, 1783, 13, 46811, 10943, 22807, 23032, 3555, 3615, 995, 9122, 45865, 3794, 13, 47525, 8315, 8717, 1829, 7435, 1829, 6024, 48506, 5296, 19528, 9566, 1211, 37746, 16247, 12610], "avg_logprob": -0.35730421471308516, "compression_ratio": 1.5423728813559323, "no_speech_prob": 0.0, "words": [{"start": 2722.34, "end": 2722.86, "word": "F", "probability": 0.060577392578125}, {"start": 2722.86, "end": 2723.4, "word": " of", "probability": 0.427734375}, {"start": 2723.4, "end": 2723.96, "word": " X.", "probability": 0.94482421875}, {"start": 2724.24, "end": 2725.28, "word": " إذا", "probability": 0.359954833984375}, {"start": 2725.28, "end": 2725.94, "word": " خلصنا", "probability": 0.924072265625}, {"start": 2725.94, "end": 2726.64, "word": " المطلوب", "probability": 0.8648681640625}, {"start": 2726.64, "end": 2727.34, "word": " الأول", "probability": 0.965576171875}, {"start": 2727.34, "end": 2728.16, "word": " جيبنا", "probability": 0.727691650390625}, {"start": 2728.16, "end": 2729.48, "word": " دالة", "probability": 0.8743489583333334}, {"start": 2729.48, "end": 2730.14, "word": " ان", "probability": 0.427490234375}, {"start": 2730.14, "end": 2730.36, "word": " ال", "probability": 0.80419921875}, {"start": 2730.36, "end": 2730.74, "word": " power", "probability": 0.68212890625}, {"start": 2730.74, "end": 2731.26, "word": " series", "probability": 0.904296875}, {"start": 2731.26, "end": 2731.68, "word": " عندها", "probability": 0.90966796875}, {"start": 2731.68, "end": 2732.62, "word": " المُعطَع", "probability": 0.7599080403645834}, {"start": 2732.62, "end": 2733.46, "word": " يبقى", "probability": 0.943359375}, {"start": 2733.46, "end": 2733.6, "word": " ال", "probability": 0.75634765625}, {"start": 2733.6, "end": 2733.96, "word": " power", "probability": 0.84033203125}, {"start": 2733.96, "end": 2734.38, "word": " series", "probability": 0.9267578125}, {"start": 2734.38, "end": 2734.7, "word": " كان", "probability": 0.5654296875}, {"start": 2734.7, "end": 2735.22, "word": " هبقى", "probability": 0.6949462890625}, {"start": 2735.22, "end": 2735.32, "word": " L", "probability": 0.62109375}, {"start": 2735.32, "end": 2735.82, "word": " 1", "probability": 0.38671875}, {"start": 2735.82, "end": 2736.18, "word": " على", "probability": 0.69189453125}, {"start": 2736.18, "end": 2736.66, "word": " 1", "probability": 0.9443359375}, {"start": 2736.66, "end": 2737.9, "word": " زائد", "probability": 0.884765625}, {"start": 2737.9, "end": 2738.44, "word": " X.", "probability": 0.970703125}, {"start": 2739.2, "end": 2740.12, "word": " تمام؟", "probability": 0.580810546875}, {"start": 2740.12, "end": 2740.38, "word": " طبعا", "probability": 0.70135498046875}, {"start": 2740.38, "end": 2740.8, "word": " كويس.", "probability": 0.9295247395833334}, {"start": 2740.88, "end": 2741.14, "word": " بدنا", "probability": 0.74169921875}, {"start": 2741.14, "end": 2741.4, "word": " نيجي", "probability": 0.9248046875}, {"start": 2741.4, "end": 2741.76, "word": " الآن", "probability": 0.6446533203125}, {"start": 2741.76, "end": 2742.66, "word": " للمطلوب", "probability": 0.9552734375}, {"start": 2742.66, "end": 2743.26, "word": " الأول", "probability": 0.990234375}], "temperature": 1.0}, {"id": 111, "seek": 276406, "start": 2743.5, "end": 2764.06, "text": "جاب المبدأ المطلوب الأول بدي أقوله f of x ليه واحد على واحد زائد x وليه بدي تساوي واحد ناقص x زائد x تربية ناقص x تكييب زائد ناقص one to the power n x to the power n زائد إلى آخرين", "tokens": [7435, 16758, 9673, 44510, 10721, 9673, 9566, 1211, 37746, 16247, 12610, 4724, 16254, 5551, 39648, 3224, 283, 295, 2031, 32239, 3224, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 2031, 4032, 20292, 3224, 4724, 16254, 6055, 3794, 995, 45865, 36764, 24401, 8717, 995, 4587, 9381, 2031, 30767, 16373, 3215, 2031, 6055, 25513, 10632, 8717, 995, 4587, 9381, 2031, 6055, 4117, 1829, 1829, 3555, 30767, 16373, 3215, 8717, 995, 4587, 9381, 472, 281, 264, 1347, 297, 2031, 281, 264, 1347, 297, 30767, 16373, 3215, 30731, 19753, 34740, 9957], "avg_logprob": -0.20170454562387682, "compression_ratio": 1.78125, "no_speech_prob": 0.0, "words": [{"start": 2743.5, "end": 2744.0, "word": "جاب", "probability": 0.61181640625}, {"start": 2744.0, "end": 2744.52, "word": " المبدأ", "probability": 0.8673502604166666}, {"start": 2744.52, "end": 2745.04, "word": " المطلوب", "probability": 0.9676513671875}, {"start": 2745.04, "end": 2745.58, "word": " الأول", "probability": 0.914306640625}, {"start": 2745.58, "end": 2745.94, "word": " بدي", "probability": 0.34600830078125}, {"start": 2745.94, "end": 2746.52, "word": " أقوله", "probability": 0.7449544270833334}, {"start": 2746.52, "end": 2747.04, "word": " f", "probability": 0.5009765625}, {"start": 2747.04, "end": 2747.54, "word": " of", "probability": 0.377197265625}, {"start": 2747.54, "end": 2748.04, "word": " x", "probability": 0.8955078125}, {"start": 2748.04, "end": 2748.7, "word": " ليه", "probability": 0.279876708984375}, {"start": 2748.7, "end": 2749.18, "word": " واحد", "probability": 0.89306640625}, {"start": 2749.18, "end": 2749.48, "word": " على", "probability": 0.65234375}, {"start": 2749.48, "end": 2750.02, "word": " واحد", "probability": 0.98486328125}, {"start": 2750.02, "end": 2750.66, "word": " زائد", "probability": 0.92529296875}, {"start": 2750.66, "end": 2751.08, "word": " x", "probability": 0.8544921875}, {"start": 2751.08, "end": 2751.88, "word": " وليه", "probability": 0.8499348958333334}, {"start": 2751.88, "end": 2752.02, "word": " بدي", "probability": 0.7880859375}, {"start": 2752.02, "end": 2752.58, "word": " تساوي", "probability": 0.828857421875}, {"start": 2752.58, "end": 2753.18, "word": " واحد", "probability": 0.986572265625}, {"start": 2753.18, "end": 2753.86, "word": " ناقص", "probability": 0.9564208984375}, {"start": 2753.86, "end": 2754.28, "word": " x", "probability": 0.94482421875}, {"start": 2754.28, "end": 2754.92, "word": " زائد", "probability": 0.96826171875}, {"start": 2754.92, "end": 2755.22, "word": " x", "probability": 0.96923828125}, {"start": 2755.22, "end": 2755.8, "word": " تربية", "probability": 0.8063151041666666}, {"start": 2755.8, "end": 2756.74, "word": " ناقص", "probability": 0.9698486328125}, {"start": 2756.74, "end": 2757.04, "word": " x", "probability": 0.953125}, {"start": 2757.04, "end": 2757.92, "word": " تكييب", "probability": 0.8548828125}, {"start": 2757.92, "end": 2758.96, "word": " زائد", "probability": 0.9567057291666666}, {"start": 2758.96, "end": 2759.52, "word": " ناقص", "probability": 0.990966796875}, {"start": 2759.52, "end": 2759.76, "word": " one", "probability": 0.505859375}, {"start": 2759.76, "end": 2760.08, "word": " to", "probability": 0.9560546875}, {"start": 2760.08, "end": 2760.34, "word": " the", "probability": 0.904296875}, {"start": 2760.34, "end": 2760.7, "word": " power", "probability": 0.88818359375}, {"start": 2760.7, "end": 2761.16, "word": " n", "probability": 0.75244140625}, {"start": 2761.16, "end": 2761.58, "word": " x", "probability": 0.80322265625}, {"start": 2761.58, "end": 2761.8, "word": " to", "probability": 0.96875}, {"start": 2761.8, "end": 2762.02, "word": " the", "probability": 0.921875}, {"start": 2762.02, "end": 2762.34, "word": " power", "probability": 0.86865234375}, {"start": 2762.34, "end": 2762.68, "word": " n", "probability": 0.953125}, {"start": 2762.68, "end": 2763.14, "word": " زائد", "probability": 0.96923828125}, {"start": 2763.14, "end": 2763.4, "word": " إلى", "probability": 0.337890625}, {"start": 2763.4, "end": 2764.06, "word": " آخرين", "probability": 0.9459635416666666}], "temperature": 1.0}, {"id": 112, "seek": 277513, "start": 2769.07, "end": 2775.13, "text": "هذه المقارنة هي نفس النتيجة بس المقارنة مربع", "tokens": [3224, 24192, 9673, 4587, 9640, 1863, 3660, 39896, 8717, 36178, 28239, 31371, 7435, 3660, 4724, 3794, 9673, 4587, 9640, 1863, 3660, 3714, 25513, 3615], "avg_logprob": -0.4037499904632568, "compression_ratio": 1.1911764705882353, "no_speech_prob": 0.0, "words": [{"start": 2769.0700000000006, "end": 2770.2900000000004, "word": "هذه", "probability": 0.282958984375}, {"start": 2770.2900000000004, "end": 2771.51, "word": " المقارنة", "probability": 0.66630859375}, {"start": 2771.51, "end": 2772.65, "word": " هي", "probability": 0.3603515625}, {"start": 2772.65, "end": 2773.15, "word": " نفس", "probability": 0.944091796875}, {"start": 2773.15, "end": 2773.77, "word": " النتيجة", "probability": 0.96435546875}, {"start": 2773.77, "end": 2773.99, "word": " بس", "probability": 0.62158203125}, {"start": 2773.99, "end": 2774.59, "word": " المقارنة", "probability": 0.858056640625}, {"start": 2774.59, "end": 2775.13, "word": " مربع", "probability": 0.8107096354166666}], "temperature": 1.0}, {"id": 113, "seek": 280472, "start": 2776.16, "end": 2804.72, "text": "يعني نربعها و نمشي الحال خلاصنا طيب خلنا نناقش احنا وياكم لو ترمين وربعتهم بتطلع تلت ترمات ودي سهل مربع الأول اتنين حصل ضرب اتنين مربع التاني سهل طيب لو كانوا تلاتة بيبدأ الحرارة ترتفع عندك بتقدروا تلت ترمات زي تلت ترمات اضربهم ببعض طيب لو قلت خلي تملك أربعة", "tokens": [40228, 22653, 8717, 25513, 3615, 11296, 4032, 8717, 2304, 8592, 1829, 21542, 6027, 16490, 1211, 33546, 8315, 23032, 1829, 3555, 16490, 1211, 8315, 8717, 8315, 4587, 8592, 1975, 5016, 8315, 4032, 25528, 24793, 45164, 6055, 2288, 2304, 9957, 4032, 25513, 34268, 16095, 39894, 9566, 1211, 3615, 6055, 1211, 2655, 6055, 2288, 2304, 9307, 4032, 16254, 8608, 3224, 1211, 3714, 25513, 3615, 16247, 12610, 1975, 2655, 1863, 9957, 11331, 36520, 48812, 25513, 1975, 2655, 1863, 9957, 3714, 25513, 3615, 16712, 7649, 1829, 8608, 3224, 1211, 23032, 1829, 3555, 45164, 25961, 14407, 6055, 1211, 9307, 3660, 4724, 1829, 44510, 10721, 21542, 2288, 9640, 3660, 6055, 43500, 5172, 3615, 43242, 4117, 39894, 28543, 2288, 14407, 6055, 1211, 2655, 6055, 2288, 2304, 9307, 30767, 1829, 6055, 1211, 2655, 6055, 2288, 2304, 9307, 1975, 11242, 25513, 16095, 4724, 3555, 3615, 11242, 23032, 1829, 3555, 45164, 12174, 1211, 2655, 16490, 20292, 46811, 23275, 5551, 25513, 27884], "avg_logprob": -0.1916390677161564, "compression_ratio": 2.0755555555555554, "no_speech_prob": 0.0, "words": [{"start": 2776.16, "end": 2776.44, "word": "يعني", "probability": 0.61376953125}, {"start": 2776.44, "end": 2777.32, "word": " نربعها", "probability": 0.7977294921875}, {"start": 2777.32, "end": 2777.86, "word": " و", "probability": 0.92919921875}, {"start": 2777.86, "end": 2778.32, "word": " نمشي", "probability": 0.800048828125}, {"start": 2778.32, "end": 2778.68, "word": " الحال", "probability": 0.5010986328125}, {"start": 2778.68, "end": 2779.36, "word": " خلاصنا", "probability": 0.901611328125}, {"start": 2779.36, "end": 2780.2, "word": " طيب", "probability": 0.85205078125}, {"start": 2780.2, "end": 2780.48, "word": " خلنا", "probability": 0.7267252604166666}, {"start": 2780.48, "end": 2780.94, "word": " نناقش", "probability": 0.84295654296875}, {"start": 2780.94, "end": 2781.2, "word": " احنا", "probability": 0.9207356770833334}, {"start": 2781.2, "end": 2781.86, "word": " وياكم", "probability": 0.8505859375}, {"start": 2781.86, "end": 2782.96, "word": " لو", "probability": 0.84326171875}, {"start": 2782.96, "end": 2783.76, "word": " ترمين", "probability": 0.9688720703125}, {"start": 2783.76, "end": 2784.96, "word": " وربعتهم", "probability": 0.88525390625}, {"start": 2784.96, "end": 2785.44, "word": " بتطلع", "probability": 0.72784423828125}, {"start": 2785.44, "end": 2785.78, "word": " تلت", "probability": 0.8971354166666666}, {"start": 2785.78, "end": 2786.46, "word": " ترمات", "probability": 0.881103515625}, {"start": 2786.46, "end": 2787.0, "word": " ودي", "probability": 0.6002197265625}, {"start": 2787.0, "end": 2787.38, "word": " سهل", "probability": 0.9005533854166666}, {"start": 2787.38, "end": 2787.88, "word": " مربع", "probability": 0.8889973958333334}, {"start": 2787.88, "end": 2788.32, "word": " الأول", "probability": 0.908203125}, {"start": 2788.32, "end": 2788.78, "word": " اتنين", "probability": 0.9122314453125}, {"start": 2788.78, "end": 2789.22, "word": " حصل", "probability": 0.82080078125}, {"start": 2789.22, "end": 2789.56, "word": " ضرب", "probability": 0.982177734375}, {"start": 2789.56, "end": 2790.32, "word": " اتنين", "probability": 0.971923828125}, {"start": 2790.32, "end": 2791.06, "word": " مربع", "probability": 0.9925130208333334}, {"start": 2791.06, "end": 2791.84, "word": " التاني", "probability": 0.9104817708333334}, {"start": 2791.84, "end": 2792.3, "word": " سهل", "probability": 0.9488932291666666}, {"start": 2792.3, "end": 2792.88, "word": " طيب", "probability": 0.78662109375}, {"start": 2792.88, "end": 2793.06, "word": " لو", "probability": 0.986328125}, {"start": 2793.06, "end": 2793.4, "word": " كانوا", "probability": 0.957275390625}, {"start": 2793.4, "end": 2794.66, "word": " تلاتة", "probability": 0.81683349609375}, {"start": 2794.66, "end": 2795.8, "word": " بيبدأ", "probability": 0.7943115234375}, {"start": 2795.8, "end": 2796.38, "word": " الحرارة", "probability": 0.9727783203125}, {"start": 2796.38, "end": 2797.12, "word": " ترتفع", "probability": 0.98681640625}, {"start": 2797.12, "end": 2798.2, "word": " عندك", "probability": 0.943603515625}, {"start": 2798.2, "end": 2798.68, "word": " بتقدروا", "probability": 0.500091552734375}, {"start": 2798.68, "end": 2799.08, "word": " تلت", "probability": 0.99267578125}, {"start": 2799.08, "end": 2799.62, "word": " ترمات", "probability": 0.978271484375}, {"start": 2799.62, "end": 2799.96, "word": " زي", "probability": 0.982421875}, {"start": 2799.96, "end": 2800.32, "word": " تلت", "probability": 0.97021484375}, {"start": 2800.32, "end": 2800.88, "word": " ترمات", "probability": 0.990234375}, {"start": 2800.88, "end": 2801.5, "word": " اضربهم", "probability": 0.8541259765625}, {"start": 2801.5, "end": 2802.0, "word": " ببعض", "probability": 0.8731689453125}, {"start": 2802.0, "end": 2802.84, "word": " طيب", "probability": 0.9715169270833334}, {"start": 2802.84, "end": 2803.14, "word": " لو", "probability": 0.91357421875}, {"start": 2803.14, "end": 2803.34, "word": " قلت", "probability": 0.6717936197916666}, {"start": 2803.34, "end": 2803.62, "word": " خلي", "probability": 0.73291015625}, {"start": 2803.62, "end": 2804.08, "word": " تملك", "probability": 0.60711669921875}, {"start": 2804.08, "end": 2804.72, "word": " أربعة", "probability": 0.7954915364583334}], "temperature": 1.0}, {"id": 114, "seek": 282762, "start": 2805.38, "end": 2827.62, "text": "بتبقى النبض يرتفع، مش هيك؟ لو قولتلك خمس ترمات، ستة بعشر ترمات، وقول اه ورا دي بدي أقعد ساعتين وانا أضرب فيهم ولا تلت ساعات، فما بالك إذا كان مالة نهاية من الحدود، يبقى إحكاية إن ربي أحصفها على شجة ده بتوصلكش إلى نتيجة", "tokens": [3555, 2655, 3555, 4587, 7578, 28239, 3555, 11242, 7251, 43500, 5172, 3615, 12399, 37893, 39896, 4117, 22807, 45164, 12174, 12610, 2655, 23275, 16490, 2304, 3794, 6055, 2288, 2304, 9307, 12399, 8608, 2655, 3660, 45030, 46309, 6055, 2288, 2304, 9307, 12399, 4032, 39648, 1975, 3224, 4032, 23557, 11778, 1829, 4724, 16254, 5551, 4587, 22488, 8608, 995, 34268, 9957, 4032, 7649, 995, 5551, 11242, 25513, 8978, 16095, 49429, 6055, 1211, 2655, 8608, 45761, 9307, 12399, 6156, 15042, 20666, 4117, 11933, 15730, 25961, 3714, 6027, 3660, 8717, 11296, 10632, 9154, 21542, 3215, 23328, 12399, 7251, 3555, 4587, 7578, 11933, 5016, 4117, 995, 10632, 36145, 12602, 21292, 5551, 5016, 9381, 5172, 11296, 15844, 13412, 7435, 3660, 11778, 3224, 39894, 2407, 36520, 4117, 8592, 30731, 8717, 31371, 7435, 3660], "avg_logprob": -0.2599999885559082, "compression_ratio": 1.7544642857142858, "no_speech_prob": 0.0, "words": [{"start": 2805.38, "end": 2805.9, "word": "بتبقى", "probability": 0.53173828125}, {"start": 2805.9, "end": 2806.32, "word": " النبض", "probability": 0.9661458333333334}, {"start": 2806.32, "end": 2807.46, "word": " يرتفع،", "probability": 0.791796875}, {"start": 2807.46, "end": 2808.2, "word": " مش", "probability": 0.74951171875}, {"start": 2808.2, "end": 2808.98, "word": " هيك؟", "probability": 0.69677734375}, {"start": 2808.98, "end": 2809.16, "word": " لو", "probability": 0.91162109375}, {"start": 2809.16, "end": 2809.5, "word": " قولتلك", "probability": 0.6552734375}, {"start": 2809.5, "end": 2810.08, "word": " خمس", "probability": 0.9658203125}, {"start": 2810.08, "end": 2810.84, "word": " ترمات،", "probability": 0.7908203125}, {"start": 2810.84, "end": 2811.34, "word": " ستة", "probability": 0.8898111979166666}, {"start": 2811.34, "end": 2811.82, "word": " بعشر", "probability": 0.869140625}, {"start": 2811.82, "end": 2812.82, "word": " ترمات،", "probability": 0.92021484375}, {"start": 2812.82, "end": 2813.5, "word": " وقول", "probability": 0.475830078125}, {"start": 2813.5, "end": 2813.88, "word": " اه", "probability": 0.381103515625}, {"start": 2813.88, "end": 2814.22, "word": " ورا", "probability": 0.861328125}, {"start": 2814.22, "end": 2814.42, "word": " دي", "probability": 0.827880859375}, {"start": 2814.42, "end": 2814.74, "word": " بدي", "probability": 0.53759765625}, {"start": 2814.74, "end": 2815.04, "word": " أقعد", "probability": 0.7364908854166666}, {"start": 2815.04, "end": 2815.54, "word": " ساعتين", "probability": 0.9598388671875}, {"start": 2815.54, "end": 2815.76, "word": " وانا", "probability": 0.75634765625}, {"start": 2815.76, "end": 2816.06, "word": " أضرب", "probability": 0.8313802083333334}, {"start": 2816.06, "end": 2816.52, "word": " فيهم", "probability": 0.98876953125}, {"start": 2816.52, "end": 2816.72, "word": " ولا", "probability": 0.71484375}, {"start": 2816.72, "end": 2817.1, "word": " تلت", "probability": 0.9503580729166666}, {"start": 2817.1, "end": 2818.02, "word": " ساعات،", "probability": 0.8822021484375}, {"start": 2818.02, "end": 2818.64, "word": " فما", "probability": 0.64404296875}, {"start": 2818.64, "end": 2819.06, "word": " بالك", "probability": 0.831787109375}, {"start": 2819.06, "end": 2819.36, "word": " إذا", "probability": 0.845458984375}, {"start": 2819.36, "end": 2819.72, "word": " كان", "probability": 0.99755859375}, {"start": 2819.72, "end": 2820.18, "word": " مالة", "probability": 0.7788899739583334}, {"start": 2820.18, "end": 2820.68, "word": " نهاية", "probability": 0.8857421875}, {"start": 2820.68, "end": 2820.98, "word": " من", "probability": 0.99267578125}, {"start": 2820.98, "end": 2822.3, "word": " الحدود،", "probability": 0.903564453125}, {"start": 2822.3, "end": 2822.7, "word": " يبقى", "probability": 0.9136962890625}, {"start": 2822.7, "end": 2823.38, "word": " إحكاية", "probability": 0.73046875}, {"start": 2823.38, "end": 2823.62, "word": " إن", "probability": 0.7861328125}, {"start": 2823.62, "end": 2824.08, "word": " ربي", "probability": 0.8994140625}, {"start": 2824.08, "end": 2824.8, "word": " أحصفها", "probability": 0.71455078125}, {"start": 2824.8, "end": 2824.98, "word": " على", "probability": 0.8740234375}, {"start": 2824.98, "end": 2825.4, "word": " شجة", "probability": 0.9464518229166666}, {"start": 2825.4, "end": 2825.5, "word": " ده", "probability": 0.947021484375}, {"start": 2825.5, "end": 2826.42, "word": " بتوصلكش", "probability": 0.766845703125}, {"start": 2826.42, "end": 2826.74, "word": " إلى", "probability": 0.72265625}, {"start": 2826.74, "end": 2827.62, "word": " نتيجة", "probability": 0.9910888671875}], "temperature": 1.0}, {"id": 115, "seek": 285650, "start": 2828.18, "end": 2856.5, "text": "طبعا فادبر حالك شو موضوع ده هنا موضوع من derivative term by term او integration term by term بدي بسأل نفسي هل الدلة دي لو عملت لها derivative او integral بحصل على واحد على واحد زي ديكستربية نشتاق نشتاق اذا لو اشتقنا بتطلع الدلة المطلوبة بقولك كويس يبقى اذا تعال نشتاق .. ماجالليش هو اشتق انا لحالة أرفك", "tokens": [9566, 3555, 3615, 995, 6156, 18513, 26890, 11331, 6027, 4117, 13412, 2407, 3714, 2407, 11242, 45367, 11778, 3224, 34105, 3714, 2407, 11242, 45367, 9154, 13760, 1433, 538, 1433, 1975, 2407, 10980, 1433, 538, 1433, 4724, 16254, 4724, 3794, 10721, 1211, 8717, 36178, 1829, 8032, 1211, 32748, 37977, 11778, 1829, 45164, 6225, 42213, 2655, 5296, 11296, 13760, 1975, 2407, 11573, 4724, 5016, 36520, 15844, 36764, 24401, 15844, 36764, 24401, 30767, 1829, 11778, 1829, 4117, 14851, 2288, 3555, 10632, 8717, 8592, 2655, 995, 4587, 8717, 8592, 2655, 995, 4587, 1975, 15730, 45164, 1975, 8592, 2655, 4587, 8315, 39894, 9566, 1211, 3615, 32748, 37977, 9673, 9566, 1211, 37746, 3660, 4724, 39648, 4117, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 1975, 15730, 37279, 6027, 8717, 8592, 2655, 995, 4587, 4386, 19446, 7435, 6027, 20292, 8592, 31439, 1975, 8592, 2655, 4587, 1975, 8315, 5296, 5016, 6027, 3660, 5551, 28480, 4117], "avg_logprob": -0.26969178490442774, "compression_ratio": 1.8270676691729324, "no_speech_prob": 0.0, "words": [{"start": 2828.18, "end": 2828.84, "word": "طبعا", "probability": 0.8040771484375}, {"start": 2828.84, "end": 2829.96, "word": " فادبر", "probability": 0.5221354166666666}, {"start": 2829.96, "end": 2830.48, "word": " حالك", "probability": 0.9641927083333334}, {"start": 2830.48, "end": 2830.72, "word": " شو", "probability": 0.71435546875}, {"start": 2830.72, "end": 2831.18, "word": " موضوع", "probability": 0.91943359375}, {"start": 2831.18, "end": 2831.44, "word": " ده", "probability": 0.5343017578125}, {"start": 2831.44, "end": 2831.7, "word": " هنا", "probability": 0.87890625}, {"start": 2831.7, "end": 2832.64, "word": " موضوع", "probability": 0.8636474609375}, {"start": 2832.64, "end": 2832.84, "word": " من", "probability": 0.25048828125}, {"start": 2832.84, "end": 2833.16, "word": " derivative", "probability": 0.62646484375}, {"start": 2833.16, "end": 2833.74, "word": " term", "probability": 0.93310546875}, {"start": 2833.74, "end": 2834.0, "word": " by", "probability": 0.9560546875}, {"start": 2834.0, "end": 2834.38, "word": " term", "probability": 0.962890625}, {"start": 2834.38, "end": 2834.6, "word": " او", "probability": 0.84814453125}, {"start": 2834.6, "end": 2834.94, "word": " integration", "probability": 0.95458984375}, {"start": 2834.94, "end": 2835.52, "word": " term", "probability": 0.95849609375}, {"start": 2835.52, "end": 2835.8, "word": " by", "probability": 0.984375}, {"start": 2835.8, "end": 2836.26, "word": " term", "probability": 0.9580078125}, {"start": 2836.26, "end": 2836.78, "word": " بدي", "probability": 0.5762939453125}, {"start": 2836.78, "end": 2837.26, "word": " بسأل", "probability": 0.9488525390625}, {"start": 2837.26, "end": 2837.8, "word": " نفسي", "probability": 0.96435546875}, {"start": 2837.8, "end": 2838.4, "word": " هل", "probability": 0.888916015625}, {"start": 2838.4, "end": 2838.92, "word": " الدلة", "probability": 0.6806640625}, {"start": 2838.92, "end": 2839.28, "word": " دي", "probability": 0.803955078125}, {"start": 2839.28, "end": 2839.44, "word": " لو", "probability": 0.990234375}, {"start": 2839.44, "end": 2839.88, "word": " عملت", "probability": 0.9002278645833334}, {"start": 2839.88, "end": 2840.18, "word": " لها", "probability": 0.7042236328125}, {"start": 2840.18, "end": 2840.82, "word": " derivative", "probability": 0.91748046875}, {"start": 2840.82, "end": 2841.34, "word": " او", "probability": 0.9521484375}, {"start": 2841.34, "end": 2842.06, "word": " integral", "probability": 0.8212890625}, {"start": 2842.06, "end": 2843.02, "word": " بحصل", "probability": 0.9573567708333334}, {"start": 2843.02, "end": 2843.24, "word": " على", "probability": 0.90478515625}, {"start": 2843.24, "end": 2843.66, "word": " واحد", "probability": 0.952392578125}, {"start": 2843.66, "end": 2843.88, "word": " على", "probability": 0.85546875}, {"start": 2843.88, "end": 2844.16, "word": " واحد", "probability": 0.976318359375}, {"start": 2844.16, "end": 2844.4, "word": " زي", "probability": 0.865966796875}, {"start": 2844.4, "end": 2845.18, "word": " ديكستربية", "probability": 0.5983363560267857}, {"start": 2845.18, "end": 2846.78, "word": " نشتاق", "probability": 0.8990234375}, {"start": 2846.78, "end": 2847.92, "word": " نشتاق", "probability": 0.866064453125}, {"start": 2847.92, "end": 2848.46, "word": " اذا", "probability": 0.682373046875}, {"start": 2848.46, "end": 2848.74, "word": " لو", "probability": 0.9140625}, {"start": 2848.74, "end": 2849.54, "word": " اشتقنا", "probability": 0.930078125}, {"start": 2849.54, "end": 2850.22, "word": " بتطلع", "probability": 0.8876953125}, {"start": 2850.22, "end": 2850.66, "word": " الدلة", "probability": 0.9775390625}, {"start": 2850.66, "end": 2851.32, "word": " المطلوبة", "probability": 0.96455078125}, {"start": 2851.32, "end": 2851.82, "word": " بقولك", "probability": 0.8108723958333334}, {"start": 2851.82, "end": 2852.22, "word": " كويس", "probability": 0.9737955729166666}, {"start": 2852.22, "end": 2852.8, "word": " يبقى", "probability": 0.684814453125}, {"start": 2852.8, "end": 2853.04, "word": " اذا", "probability": 0.5555419921875}, {"start": 2853.04, "end": 2853.84, "word": " تعال", "probability": 0.9697265625}, {"start": 2853.84, "end": 2854.16, "word": " نشتاق", "probability": 0.862890625}, {"start": 2854.16, "end": 2854.2, "word": " ..", "probability": 0.268310546875}, {"start": 2854.2, "end": 2854.76, "word": " ماجالليش", "probability": 0.5509765625}, {"start": 2854.76, "end": 2854.9, "word": " هو", "probability": 0.8603515625}, {"start": 2854.9, "end": 2855.36, "word": " اشتق", "probability": 0.8475341796875}, {"start": 2855.36, "end": 2855.64, "word": " انا", "probability": 0.7578125}, {"start": 2855.64, "end": 2856.06, "word": " لحالة", "probability": 0.67108154296875}, {"start": 2856.06, "end": 2856.5, "word": " أرفك", "probability": 0.3641764322916667}], "temperature": 1.0}, {"id": 116, "seek": 286592, "start": 2856.82, "end": 2865.92, "text": "هذا يجب أن تبقى دقيق الملاحظة لما هو المطلوب، أما لو ربعتها تقول تربيها 12 أكل استراليزي، تقول يا الله من أعرف", "tokens": [3224, 15730, 7251, 7435, 3555, 14739, 6055, 3555, 4587, 7578, 11778, 38436, 4587, 9673, 15040, 5016, 19913, 3660, 5296, 15042, 31439, 9673, 9566, 1211, 37746, 12399, 5551, 15042, 45164, 12602, 3555, 34268, 11296, 6055, 39648, 6055, 2288, 21292, 11296, 2272, 5551, 28820, 44713, 2288, 6027, 1829, 11622, 1829, 12399, 6055, 39648, 35186, 21984, 9154, 5551, 3615, 28480], "avg_logprob": -0.4566271412989189, "compression_ratio": 1.4924242424242424, "no_speech_prob": 0.0, "words": [{"start": 2856.82, "end": 2857.36, "word": "هذا", "probability": 0.4698486328125}, {"start": 2857.36, "end": 2857.54, "word": " يجب", "probability": 0.648681640625}, {"start": 2857.54, "end": 2857.74, "word": " أن", "probability": 0.49853515625}, {"start": 2857.74, "end": 2858.3, "word": " تبقى", "probability": 0.9180908203125}, {"start": 2858.3, "end": 2858.86, "word": " دقيق", "probability": 0.833984375}, {"start": 2858.86, "end": 2859.7, "word": " الملاحظة", "probability": 0.923828125}, {"start": 2859.7, "end": 2859.98, "word": " لما", "probability": 0.733154296875}, {"start": 2859.98, "end": 2860.28, "word": " هو", "probability": 0.9921875}, {"start": 2860.28, "end": 2861.16, "word": " المطلوب،", "probability": 0.8255859375}, {"start": 2861.16, "end": 2861.42, "word": " أما", "probability": 0.6341552734375}, {"start": 2861.42, "end": 2861.64, "word": " لو", "probability": 0.8642578125}, {"start": 2861.64, "end": 2862.44, "word": " ربعتها", "probability": 0.84814453125}, {"start": 2862.44, "end": 2862.8, "word": " تقول", "probability": 0.673828125}, {"start": 2862.8, "end": 2863.32, "word": " تربيها", "probability": 0.62530517578125}, {"start": 2863.32, "end": 2863.78, "word": " 12", "probability": 0.08953857421875}, {"start": 2863.78, "end": 2864.28, "word": " أكل", "probability": 0.8564453125}, {"start": 2864.28, "end": 2865.02, "word": " استراليزي،", "probability": 0.6164027622767857}, {"start": 2865.02, "end": 2865.24, "word": " تقول", "probability": 0.650634765625}, {"start": 2865.24, "end": 2865.34, "word": " يا", "probability": 0.10675048828125}, {"start": 2865.34, "end": 2865.44, "word": " الله", "probability": 0.484375}, {"start": 2865.44, "end": 2865.58, "word": " من", "probability": 0.6298828125}, {"start": 2865.58, "end": 2865.92, "word": " أعرف", "probability": 0.670166015625}], "temperature": 1.0}, {"id": 117, "seek": 289287, "start": 2866.55, "end": 2892.87, "text": "فيش حاجة مش عارف انت بيجي جيبلي ال series اللي تمثله هذه الدلة و بعدين جالك ايش مش جالك روح ربها جالك use the result يعني قيدك كيف تشتغل بقوله انا بروح اشتقها يبقى هذه ال F prime of X سالب واحد على واحد زائد X لكل تربية whatو ساوي اظن الأول بيروح ناقص واحد", "tokens": [41185, 8592, 11331, 26108, 3660, 37893, 6225, 9640, 5172, 16472, 2655, 4724, 1829, 7435, 1829, 10874, 1829, 3555, 20292, 2423, 2638, 13672, 1829, 46811, 12984, 43761, 29538, 32748, 37977, 4032, 39182, 9957, 10874, 6027, 4117, 1975, 1829, 8592, 37893, 10874, 6027, 4117, 12602, 2407, 5016, 12602, 3555, 11296, 10874, 6027, 4117, 764, 264, 1874, 37495, 22653, 12174, 25708, 4117, 9122, 33911, 6055, 8592, 2655, 17082, 1211, 4724, 39648, 3224, 1975, 8315, 4724, 32887, 5016, 1975, 8592, 2655, 4587, 11296, 7251, 3555, 4587, 7578, 29538, 2423, 479, 5835, 295, 1783, 8608, 6027, 3555, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 1783, 5296, 28820, 6055, 25513, 10632, 437, 2407, 8608, 995, 45865, 1975, 19913, 1863, 16247, 12610, 4724, 13546, 2407, 5016, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.274852348594215, "compression_ratio": 1.6771653543307086, "no_speech_prob": 0.0, "words": [{"start": 2866.55, "end": 2866.91, "word": "فيش", "probability": 0.3389892578125}, {"start": 2866.91, "end": 2867.17, "word": " حاجة", "probability": 0.9674479166666666}, {"start": 2867.17, "end": 2867.33, "word": " مش", "probability": 0.85546875}, {"start": 2867.33, "end": 2867.61, "word": " عارف", "probability": 0.9899088541666666}, {"start": 2867.61, "end": 2867.89, "word": " انت", "probability": 0.82763671875}, {"start": 2867.89, "end": 2868.17, "word": " بيجي", "probability": 0.78369140625}, {"start": 2868.17, "end": 2868.55, "word": " جيبلي", "probability": 0.659942626953125}, {"start": 2868.55, "end": 2868.65, "word": " ال", "probability": 0.9111328125}, {"start": 2868.65, "end": 2869.01, "word": " series", "probability": 0.921875}, {"start": 2869.01, "end": 2869.59, "word": " اللي", "probability": 0.698486328125}, {"start": 2869.59, "end": 2870.27, "word": " تمثله", "probability": 0.8063151041666666}, {"start": 2870.27, "end": 2870.63, "word": " هذه", "probability": 0.93212890625}, {"start": 2870.63, "end": 2871.01, "word": " الدلة", "probability": 0.7025146484375}, {"start": 2871.01, "end": 2871.17, "word": " و", "probability": 0.54736328125}, {"start": 2871.17, "end": 2871.51, "word": " بعدين", "probability": 0.903076171875}, {"start": 2871.51, "end": 2871.91, "word": " جالك", "probability": 0.7457682291666666}, {"start": 2871.91, "end": 2872.29, "word": " ايش", "probability": 0.7588704427083334}, {"start": 2872.29, "end": 2872.89, "word": " مش", "probability": 0.5703125}, {"start": 2872.89, "end": 2873.25, "word": " جالك", "probability": 0.8829752604166666}, {"start": 2873.25, "end": 2873.47, "word": " روح", "probability": 0.8662109375}, {"start": 2873.47, "end": 2873.79, "word": " ربها", "probability": 0.6686197916666666}, {"start": 2873.79, "end": 2874.19, "word": " جالك", "probability": 0.8444010416666666}, {"start": 2874.19, "end": 2874.91, "word": " use", "probability": 0.74169921875}, {"start": 2874.91, "end": 2875.21, "word": " the", "probability": 0.82763671875}, {"start": 2875.21, "end": 2875.75, "word": " result", "probability": 0.93798828125}, {"start": 2875.75, "end": 2876.41, "word": " يعني", "probability": 0.935791015625}, {"start": 2876.41, "end": 2877.19, "word": " قيدك", "probability": 0.9130859375}, {"start": 2877.19, "end": 2877.45, "word": " كيف", "probability": 0.980224609375}, {"start": 2877.45, "end": 2878.07, "word": " تشتغل", "probability": 0.9896484375}, {"start": 2878.07, "end": 2878.97, "word": " بقوله", "probability": 0.7516276041666666}, {"start": 2878.97, "end": 2879.23, "word": " انا", "probability": 0.3856201171875}, {"start": 2879.23, "end": 2879.55, "word": " بروح", "probability": 0.7687174479166666}, {"start": 2879.55, "end": 2880.23, "word": " اشتقها", "probability": 0.7529296875}, {"start": 2880.23, "end": 2880.61, "word": " يبقى", "probability": 0.69476318359375}, {"start": 2880.61, "end": 2881.01, "word": " هذه", "probability": 0.34521484375}, {"start": 2881.01, "end": 2881.25, "word": " ال", "probability": 0.837890625}, {"start": 2881.25, "end": 2881.65, "word": " F", "probability": 0.6103515625}, {"start": 2881.65, "end": 2882.59, "word": " prime", "probability": 0.5390625}, {"start": 2882.59, "end": 2882.87, "word": " of", "probability": 0.935546875}, {"start": 2882.87, "end": 2883.13, "word": " X", "probability": 0.8427734375}, {"start": 2883.13, "end": 2884.49, "word": " سالب", "probability": 0.8899739583333334}, {"start": 2884.49, "end": 2885.31, "word": " واحد", "probability": 0.91259765625}, {"start": 2885.31, "end": 2885.55, "word": " على", "probability": 0.7041015625}, {"start": 2885.55, "end": 2886.07, "word": " واحد", "probability": 0.9853515625}, {"start": 2886.07, "end": 2886.69, "word": " زائد", "probability": 0.8771158854166666}, {"start": 2886.69, "end": 2887.09, "word": " X", "probability": 0.84619140625}, {"start": 2887.09, "end": 2887.57, "word": " لكل", "probability": 0.88720703125}, {"start": 2887.57, "end": 2888.17, "word": " تربية", "probability": 0.8028971354166666}, {"start": 2888.17, "end": 2888.77, "word": " whatو", "probability": 0.31561279296875}, {"start": 2888.77, "end": 2889.23, "word": " ساوي", "probability": 0.7955729166666666}, {"start": 2889.23, "end": 2890.15, "word": " اظن", "probability": 0.9524739583333334}, {"start": 2890.15, "end": 2890.71, "word": " الأول", "probability": 0.789306640625}, {"start": 2890.71, "end": 2891.39, "word": " بيروح", "probability": 0.832275390625}, {"start": 2891.39, "end": 2892.39, "word": " ناقص", "probability": 0.906005859375}, {"start": 2892.39, "end": 2892.87, "word": " واحد", "probability": 0.982177734375}], "temperature": 1.0}, {"id": 118, "seek": 290914, "start": 2893.28, "end": 2909.14, "text": "زيدي اتنين X ناقص ثلاثة X تربية زيد أبصر مين؟ زائد ناقص واحد to the power N في ال N في ال X أس N ناقص واحد إلى ما شاء الله", "tokens": [11622, 1829, 16254, 1975, 2655, 1863, 9957, 1783, 8717, 995, 4587, 9381, 38637, 1211, 5718, 104, 3660, 1783, 6055, 25513, 10632, 30767, 25708, 5551, 3555, 9381, 2288, 3714, 9957, 22807, 30767, 16373, 3215, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 426, 8978, 2423, 426, 8978, 2423, 1783, 5551, 3794, 426, 8717, 995, 4587, 9381, 36764, 24401, 30731, 19446, 13412, 16606, 21984], "avg_logprob": -0.24316405900754035, "compression_ratio": 1.4558823529411764, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2893.28, "end": 2893.84, "word": "زيدي", "probability": 0.5882161458333334}, {"start": 2893.84, "end": 2894.38, "word": " اتنين", "probability": 0.81036376953125}, {"start": 2894.38, "end": 2894.8, "word": " X", "probability": 0.483154296875}, {"start": 2894.8, "end": 2895.9, "word": " ناقص", "probability": 0.9287109375}, {"start": 2895.9, "end": 2896.62, "word": " ثلاثة", "probability": 0.859814453125}, {"start": 2896.62, "end": 2896.88, "word": " X", "probability": 0.95361328125}, {"start": 2896.88, "end": 2897.6, "word": " تربية", "probability": 0.803955078125}, {"start": 2897.6, "end": 2898.52, "word": " زيد", "probability": 0.5689697265625}, {"start": 2898.52, "end": 2899.04, "word": " أبصر", "probability": 0.747802734375}, {"start": 2899.04, "end": 2899.8, "word": " مين؟", "probability": 0.7449544270833334}, {"start": 2899.8, "end": 2900.72, "word": " زائد", "probability": 0.7958984375}, {"start": 2900.72, "end": 2901.6, "word": " ناقص", "probability": 0.98095703125}, {"start": 2901.6, "end": 2902.02, "word": " واحد", "probability": 0.99267578125}, {"start": 2902.02, "end": 2902.24, "word": " to", "probability": 0.75927734375}, {"start": 2902.24, "end": 2902.5, "word": " the", "probability": 0.927734375}, {"start": 2902.5, "end": 2902.9, "word": " power", "probability": 0.8544921875}, {"start": 2902.9, "end": 2903.42, "word": " N", "probability": 0.58251953125}, {"start": 2903.42, "end": 2904.08, "word": " في", "probability": 0.82666015625}, {"start": 2904.08, "end": 2904.44, "word": " ال", "probability": 0.80126953125}, {"start": 2904.44, "end": 2904.84, "word": " N", "probability": 0.291259765625}, {"start": 2904.84, "end": 2905.36, "word": " في", "probability": 0.90576171875}, {"start": 2905.36, "end": 2905.54, "word": " ال", "probability": 0.59912109375}, {"start": 2905.54, "end": 2905.84, "word": " X", "probability": 0.970703125}, {"start": 2905.84, "end": 2906.22, "word": " أس", "probability": 0.668701171875}, {"start": 2906.22, "end": 2906.54, "word": " N", "probability": 0.2646484375}, {"start": 2906.54, "end": 2907.06, "word": " ناقص", "probability": 0.9906005859375}, {"start": 2907.06, "end": 2907.56, "word": " واحد", "probability": 0.98681640625}, {"start": 2907.56, "end": 2907.88, "word": " إلى", "probability": 0.89013671875}, {"start": 2907.88, "end": 2908.3, "word": " ما", "probability": 0.98388671875}, {"start": 2908.3, "end": 2908.74, "word": " شاء", "probability": 0.99462890625}, {"start": 2908.74, "end": 2909.14, "word": " الله", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 119, "seek": 292899, "start": 2911.83, "end": 2928.99, "text": "طب انا بديش سالب واحد على المقدار اللي عناها، بدي بياها مين؟ بالموجب، إذا بدي أضغط الطرفين كله في إشارة يبقى بيصير الـG of X اللي بده إياها واحد على واحد زاد X لكل تربية يساوي واحد", "tokens": [9566, 3555, 1975, 8315, 4724, 16254, 8592, 8608, 6027, 3555, 36764, 24401, 15844, 9673, 28543, 9640, 13672, 1829, 6225, 8315, 11296, 12399, 4724, 16254, 4724, 25528, 11296, 3714, 9957, 22807, 20666, 2304, 29245, 3555, 12399, 11933, 15730, 4724, 16254, 5551, 11242, 17082, 9566, 41950, 28480, 9957, 28242, 3224, 8978, 11933, 8592, 9640, 3660, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 2423, 39184, 38, 295, 1783, 13672, 1829, 47525, 3224, 11933, 25528, 11296, 36764, 24401, 15844, 36764, 24401, 30767, 18513, 1783, 5296, 28820, 6055, 25513, 10632, 7251, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.2842741884211058, "compression_ratio": 1.733695652173913, "no_speech_prob": 0.0, "words": [{"start": 2911.83, "end": 2912.09, "word": "طب", "probability": 0.604248046875}, {"start": 2912.09, "end": 2912.23, "word": " انا", "probability": 0.7255859375}, {"start": 2912.23, "end": 2912.71, "word": " بديش", "probability": 0.6591796875}, {"start": 2912.71, "end": 2913.11, "word": " سالب", "probability": 0.70166015625}, {"start": 2913.11, "end": 2913.49, "word": " واحد", "probability": 0.965087890625}, {"start": 2913.49, "end": 2913.67, "word": " على", "probability": 0.685546875}, {"start": 2913.67, "end": 2914.35, "word": " المقدار", "probability": 0.9620768229166666}, {"start": 2914.35, "end": 2914.93, "word": " اللي", "probability": 0.754150390625}, {"start": 2914.93, "end": 2915.31, "word": " عناها،", "probability": 0.5677490234375}, {"start": 2915.31, "end": 2915.47, "word": " بدي", "probability": 0.919677734375}, {"start": 2915.47, "end": 2915.91, "word": " بياها", "probability": 0.6979166666666666}, {"start": 2915.91, "end": 2916.33, "word": " مين؟", "probability": 0.9217122395833334}, {"start": 2916.33, "end": 2917.57, "word": " بالموجب،", "probability": 0.68935546875}, {"start": 2917.57, "end": 2917.75, "word": " إذا", "probability": 0.640869140625}, {"start": 2917.75, "end": 2917.97, "word": " بدي", "probability": 0.748046875}, {"start": 2917.97, "end": 2918.33, "word": " أضغط", "probability": 0.760009765625}, {"start": 2918.33, "end": 2918.91, "word": " الطرفين", "probability": 0.8994140625}, {"start": 2918.91, "end": 2919.19, "word": " كله", "probability": 0.840087890625}, {"start": 2919.19, "end": 2919.33, "word": " في", "probability": 0.91357421875}, {"start": 2919.33, "end": 2919.97, "word": " إشارة", "probability": 0.902587890625}, {"start": 2919.97, "end": 2921.17, "word": " يبقى", "probability": 0.8699951171875}, {"start": 2921.17, "end": 2921.77, "word": " بيصير", "probability": 0.8939208984375}, {"start": 2921.77, "end": 2922.31, "word": " الـG", "probability": 0.6710611979166666}, {"start": 2922.31, "end": 2922.75, "word": " of", "probability": 0.481201171875}, {"start": 2922.75, "end": 2923.17, "word": " X", "probability": 0.95849609375}, {"start": 2923.17, "end": 2923.47, "word": " اللي", "probability": 0.980712890625}, {"start": 2923.47, "end": 2923.99, "word": " بده", "probability": 0.609619140625}, {"start": 2923.99, "end": 2924.71, "word": " إياها", "probability": 0.7474772135416666}, {"start": 2924.71, "end": 2925.35, "word": " واحد", "probability": 0.873291015625}, {"start": 2925.35, "end": 2925.59, "word": " على", "probability": 0.7919921875}, {"start": 2925.59, "end": 2926.03, "word": " واحد", "probability": 0.991943359375}, {"start": 2926.03, "end": 2926.57, "word": " زاد", "probability": 0.813232421875}, {"start": 2926.57, "end": 2926.93, "word": " X", "probability": 0.97509765625}, {"start": 2926.93, "end": 2927.37, "word": " لكل", "probability": 0.748046875}, {"start": 2927.37, "end": 2927.81, "word": " تربية", "probability": 0.703125}, {"start": 2927.81, "end": 2928.39, "word": " يساوي", "probability": 0.76739501953125}, {"start": 2928.39, "end": 2928.99, "word": " واحد", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 120, "seek": 294499, "start": 2929.41, "end": 2944.99, "text": "نقص اتنين اكس زائد تلاتة اكس تربية نقص ابصر مين زائد نقص واحد قص ابصر جديش ان اكس نقص واحد زائد نقص واحد قص جديش", "tokens": [1863, 4587, 9381, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 6055, 25513, 10632, 8717, 4587, 9381, 48127, 9381, 2288, 3714, 9957, 30767, 16373, 3215, 8717, 4587, 9381, 36764, 24401, 12174, 9381, 48127, 9381, 2288, 10874, 16254, 8592, 16472, 1975, 4117, 3794, 8717, 4587, 9381, 36764, 24401, 30767, 16373, 3215, 8717, 4587, 9381, 36764, 24401, 12174, 9381, 10874, 16254, 8592], "avg_logprob": -0.2294642897588866, "compression_ratio": 2.0618556701030926, "no_speech_prob": 0.0, "words": [{"start": 2929.41, "end": 2930.11, "word": "نقص", "probability": 0.7423502604166666}, {"start": 2930.11, "end": 2930.63, "word": " اتنين", "probability": 0.8624267578125}, {"start": 2930.63, "end": 2931.17, "word": " اكس", "probability": 0.6600748697916666}, {"start": 2931.17, "end": 2932.03, "word": " زائد", "probability": 0.686767578125}, {"start": 2932.03, "end": 2932.59, "word": " تلاتة", "probability": 0.9422607421875}, {"start": 2932.59, "end": 2932.83, "word": " اكس", "probability": 0.9632161458333334}, {"start": 2932.83, "end": 2933.39, "word": " تربية", "probability": 0.8094075520833334}, {"start": 2933.39, "end": 2934.35, "word": " نقص", "probability": 0.8556315104166666}, {"start": 2934.35, "end": 2934.79, "word": " ابصر", "probability": 0.716064453125}, {"start": 2934.79, "end": 2935.23, "word": " مين", "probability": 0.877685546875}, {"start": 2935.23, "end": 2936.31, "word": " زائد", "probability": 0.8299153645833334}, {"start": 2936.31, "end": 2937.15, "word": " نقص", "probability": 0.9430338541666666}, {"start": 2937.15, "end": 2937.61, "word": " واحد", "probability": 0.993408203125}, {"start": 2937.61, "end": 2937.93, "word": " قص", "probability": 0.8447265625}, {"start": 2937.93, "end": 2938.37, "word": " ابصر", "probability": 0.9195963541666666}, {"start": 2938.37, "end": 2939.07, "word": " جديش", "probability": 0.6934407552083334}, {"start": 2939.07, "end": 2939.77, "word": " ان", "probability": 0.364501953125}, {"start": 2939.77, "end": 2940.31, "word": " اكس", "probability": 0.8968098958333334}, {"start": 2940.31, "end": 2941.43, "word": " نقص", "probability": 0.70703125}, {"start": 2941.43, "end": 2941.87, "word": " واحد", "probability": 0.981689453125}, {"start": 2941.87, "end": 2942.65, "word": " زائد", "probability": 0.9112955729166666}, {"start": 2942.65, "end": 2943.51, "word": " نقص", "probability": 0.9658203125}, {"start": 2943.51, "end": 2943.81, "word": " واحد", "probability": 0.9873046875}, {"start": 2943.81, "end": 2944.01, "word": " قص", "probability": 0.958251953125}, {"start": 2944.01, "end": 2944.99, "word": " جديش", "probability": 0.9112955729166666}], "temperature": 1.0}, {"id": 121, "seek": 297853, "start": 2951.55, "end": 2978.53, "text": "أنا عندى ناقص واحد أس ان في الأصل وجدوا كمان إشارة سالب يعني كمان سالب واحد يبقى صير سالب واحد أس كده؟ N زائد واحد يبقى بصير أس N زائد واحد وهي هي سيدي على الشكل summation لناقص واحد أس N زائد واحد لل N X أس N ناقص واحد وال summation ببدأ من وين؟", "tokens": [10721, 8315, 43242, 7578, 8717, 995, 4587, 9381, 36764, 24401, 5551, 3794, 16472, 8978, 16247, 36520, 49610, 3215, 14407, 9122, 2304, 7649, 11933, 8592, 9640, 3660, 8608, 6027, 3555, 37495, 22653, 9122, 2304, 7649, 8608, 6027, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 20328, 13546, 8608, 6027, 3555, 36764, 24401, 5551, 3794, 9122, 3215, 3224, 22807, 426, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 5551, 3794, 426, 30767, 16373, 3215, 36764, 24401, 37037, 1829, 39896, 8608, 1829, 16254, 15844, 25124, 28820, 28811, 5296, 8315, 4587, 9381, 36764, 24401, 5551, 3794, 426, 30767, 16373, 3215, 36764, 24401, 24976, 426, 1783, 5551, 3794, 426, 8717, 995, 4587, 9381, 36764, 24401, 16070, 28811, 4724, 44510, 10721, 9154, 4032, 9957, 22807], "avg_logprob": -0.21557418311514506, "compression_ratio": 2.090909090909091, "no_speech_prob": 0.0, "words": [{"start": 2951.55, "end": 2951.77, "word": "أنا", "probability": 0.60064697265625}, {"start": 2951.77, "end": 2952.05, "word": " عندى", "probability": 0.608642578125}, {"start": 2952.05, "end": 2952.35, "word": " ناقص", "probability": 0.79705810546875}, {"start": 2952.35, "end": 2952.65, "word": " واحد", "probability": 0.960205078125}, {"start": 2952.65, "end": 2952.93, "word": " أس", "probability": 0.48297119140625}, {"start": 2952.93, "end": 2953.15, "word": " ان", "probability": 0.236083984375}, {"start": 2953.15, "end": 2953.33, "word": " في", "probability": 0.78955078125}, {"start": 2953.33, "end": 2953.85, "word": " الأصل", "probability": 0.873291015625}, {"start": 2953.85, "end": 2954.89, "word": " وجدوا", "probability": 0.7473958333333334}, {"start": 2954.89, "end": 2955.21, "word": " كمان", "probability": 0.9508463541666666}, {"start": 2955.21, "end": 2955.65, "word": " إشارة", "probability": 0.880859375}, {"start": 2955.65, "end": 2955.95, "word": " سالب", "probability": 0.7073567708333334}, {"start": 2955.95, "end": 2956.13, "word": " يعني", "probability": 0.6964111328125}, {"start": 2956.13, "end": 2956.49, "word": " كمان", "probability": 0.9951171875}, {"start": 2956.49, "end": 2956.93, "word": " سالب", "probability": 0.9617513020833334}, {"start": 2956.93, "end": 2957.33, "word": " واحد", "probability": 0.9931640625}, {"start": 2957.33, "end": 2957.83, "word": " يبقى", "probability": 0.901611328125}, {"start": 2957.83, "end": 2957.97, "word": " صير", "probability": 0.582763671875}, {"start": 2957.97, "end": 2958.31, "word": " سالب", "probability": 0.7926432291666666}, {"start": 2958.31, "end": 2958.57, "word": " واحد", "probability": 0.98876953125}, {"start": 2958.57, "end": 2958.77, "word": " أس", "probability": 0.878662109375}, {"start": 2958.77, "end": 2959.37, "word": " كده؟", "probability": 0.567169189453125}, {"start": 2959.37, "end": 2960.25, "word": " N", "probability": 0.27685546875}, {"start": 2960.25, "end": 2961.05, "word": " زائد", "probability": 0.7711588541666666}, {"start": 2961.05, "end": 2961.73, "word": " واحد", "probability": 0.981201171875}, {"start": 2961.73, "end": 2962.51, "word": " يبقى", "probability": 0.966796875}, {"start": 2962.51, "end": 2963.25, "word": " بصير", "probability": 0.8308919270833334}, {"start": 2963.25, "end": 2963.89, "word": " أس", "probability": 0.953857421875}, {"start": 2963.89, "end": 2964.49, "word": " N", "probability": 0.83837890625}, {"start": 2964.49, "end": 2965.25, "word": " زائد", "probability": 0.9703776041666666}, {"start": 2965.25, "end": 2965.67, "word": " واحد", "probability": 0.992431640625}, {"start": 2965.67, "end": 2966.55, "word": " وهي", "probability": 0.570068359375}, {"start": 2966.55, "end": 2966.77, "word": " هي", "probability": 0.603515625}, {"start": 2966.77, "end": 2967.23, "word": " سيدي", "probability": 0.84716796875}, {"start": 2967.23, "end": 2967.53, "word": " على", "probability": 0.91162109375}, {"start": 2967.53, "end": 2968.23, "word": " الشكل", "probability": 0.89013671875}, {"start": 2968.23, "end": 2969.27, "word": " summation", "probability": 0.779296875}, {"start": 2969.27, "end": 2970.59, "word": " لناقص", "probability": 0.9093017578125}, {"start": 2970.59, "end": 2971.05, "word": " واحد", "probability": 0.9931640625}, {"start": 2971.05, "end": 2971.45, "word": " أس", "probability": 0.98046875}, {"start": 2971.45, "end": 2971.75, "word": " N", "probability": 0.86767578125}, {"start": 2971.75, "end": 2972.29, "word": " زائد", "probability": 0.96875}, {"start": 2972.29, "end": 2972.87, "word": " واحد", "probability": 0.993408203125}, {"start": 2972.87, "end": 2973.57, "word": " لل", "probability": 0.7236328125}, {"start": 2973.57, "end": 2973.97, "word": " N", "probability": 0.89404296875}, {"start": 2973.97, "end": 2974.49, "word": " X", "probability": 0.5576171875}, {"start": 2974.49, "end": 2974.91, "word": " أس", "probability": 0.984619140625}, {"start": 2974.91, "end": 2975.25, "word": " N", "probability": 0.76904296875}, {"start": 2975.25, "end": 2975.99, "word": " ناقص", "probability": 0.9908447265625}, {"start": 2975.99, "end": 2976.45, "word": " واحد", "probability": 0.989013671875}, {"start": 2976.45, "end": 2976.95, "word": " وال", "probability": 0.5908203125}, {"start": 2976.95, "end": 2977.31, "word": " summation", "probability": 0.5693359375}, {"start": 2977.31, "end": 2977.77, "word": " ببدأ", "probability": 0.7828776041666666}, {"start": 2977.77, "end": 2977.93, "word": " من", "probability": 0.9912109375}, {"start": 2977.93, "end": 2978.53, "word": " وين؟", "probability": 0.9453125}], "temperature": 1.0}, {"id": 122, "seek": 300409, "start": 2979.03, "end": 3004.09, "text": "من عند الواحد لأنه طار أول term تمام؟ اللي هي مين؟ انت عندك سالب واحد قسين أجاله كمان سالب واحد قس واحد بصير كده؟ تساوة الأساسات بنجمع الأساس بصير N زائد واحد خلصنا؟ يبقى يا بيخليها زي هيك يا حابب", "tokens": [27842, 43242, 2423, 14407, 24401, 5296, 33456, 3224, 23032, 9640, 5551, 12610, 1433, 46811, 10943, 22807, 13672, 1829, 39896, 3714, 9957, 22807, 16472, 2655, 43242, 4117, 8608, 6027, 3555, 36764, 24401, 12174, 3794, 9957, 5551, 7435, 6027, 3224, 9122, 2304, 7649, 8608, 6027, 3555, 36764, 24401, 12174, 3794, 36764, 24401, 4724, 9381, 13546, 9122, 3215, 3224, 22807, 6055, 3794, 995, 2407, 3660, 16247, 3794, 32277, 9307, 44945, 7435, 2304, 3615, 16247, 3794, 32277, 4724, 9381, 13546, 426, 30767, 16373, 3215, 36764, 24401, 16490, 1211, 9381, 8315, 22807, 7251, 3555, 4587, 7578, 35186, 4724, 1829, 9778, 20292, 11296, 30767, 1829, 39896, 4117, 35186, 11331, 16758, 3555], "avg_logprob": -0.225383256966213, "compression_ratio": 1.8219895287958114, "no_speech_prob": 0.0, "words": [{"start": 2979.03, "end": 2979.27, "word": "من", "probability": 0.14990234375}, {"start": 2979.27, "end": 2979.53, "word": " عند", "probability": 0.7314453125}, {"start": 2979.53, "end": 2980.15, "word": " الواحد", "probability": 0.95654296875}, {"start": 2980.15, "end": 2980.83, "word": " لأنه", "probability": 0.6803385416666666}, {"start": 2980.83, "end": 2981.53, "word": " طار", "probability": 0.858642578125}, {"start": 2981.53, "end": 2982.41, "word": " أول", "probability": 0.76806640625}, {"start": 2982.41, "end": 2983.05, "word": " term", "probability": 0.94189453125}, {"start": 2983.05, "end": 2984.87, "word": " تمام؟", "probability": 0.5628255208333334}, {"start": 2984.87, "end": 2986.43, "word": " اللي", "probability": 0.756103515625}, {"start": 2986.43, "end": 2986.65, "word": " هي", "probability": 0.80419921875}, {"start": 2986.65, "end": 2986.95, "word": " مين؟", "probability": 0.6145833333333334}, {"start": 2986.95, "end": 2988.23, "word": " انت", "probability": 0.8017578125}, {"start": 2988.23, "end": 2988.63, "word": " عندك", "probability": 0.9921875}, {"start": 2988.63, "end": 2988.99, "word": " سالب", "probability": 0.8216145833333334}, {"start": 2988.99, "end": 2989.35, "word": " واحد", "probability": 0.98681640625}, {"start": 2989.35, "end": 2989.85, "word": " قسين", "probability": 0.4618326822916667}, {"start": 2989.85, "end": 2990.43, "word": " أجاله", "probability": 0.7821044921875}, {"start": 2990.43, "end": 2990.91, "word": " كمان", "probability": 0.9845377604166666}, {"start": 2990.91, "end": 2991.51, "word": " سالب", "probability": 0.9703776041666666}, {"start": 2991.51, "end": 2991.93, "word": " واحد", "probability": 0.993408203125}, {"start": 2991.93, "end": 2992.23, "word": " قس", "probability": 0.815185546875}, {"start": 2992.23, "end": 2992.73, "word": " واحد", "probability": 0.9775390625}, {"start": 2992.73, "end": 2993.25, "word": " بصير", "probability": 0.8025716145833334}, {"start": 2993.25, "end": 2994.07, "word": " كده؟", "probability": 0.69781494140625}, {"start": 2994.07, "end": 2995.35, "word": " تساوة", "probability": 0.85771484375}, {"start": 2995.35, "end": 2996.23, "word": " الأساسات", "probability": 0.966796875}, {"start": 2996.23, "end": 2996.87, "word": " بنجمع", "probability": 0.8907470703125}, {"start": 2996.87, "end": 2997.37, "word": " الأساس", "probability": 0.951171875}, {"start": 2997.37, "end": 2997.91, "word": " بصير", "probability": 0.8234049479166666}, {"start": 2997.91, "end": 2998.29, "word": " N", "probability": 0.50634765625}, {"start": 2998.29, "end": 2998.95, "word": " زائد", "probability": 0.8684895833333334}, {"start": 2998.95, "end": 2999.55, "word": " واحد", "probability": 0.963134765625}, {"start": 2999.55, "end": 3001.13, "word": " خلصنا؟", "probability": 0.85751953125}, {"start": 3001.13, "end": 3001.55, "word": " يبقى", "probability": 0.93310546875}, {"start": 3001.55, "end": 3001.69, "word": " يا", "probability": 0.34716796875}, {"start": 3001.69, "end": 3002.41, "word": " بيخليها", "probability": 0.9056640625}, {"start": 3002.41, "end": 3002.71, "word": " زي", "probability": 0.987548828125}, {"start": 3002.71, "end": 3003.09, "word": " هيك", "probability": 0.81005859375}, {"start": 3003.09, "end": 3003.35, "word": " يا", "probability": 0.59619140625}, {"start": 3003.35, "end": 3004.09, "word": " حابب", "probability": 0.97900390625}], "temperature": 1.0}, {"id": 123, "seek": 302679, "start": 3004.39, "end": 3026.79, "text": "أخلّيها من عند ال zero بروح بشيل كل N و بحط مكانها N زائد واحد حابب زيكي أهلا وسهلا بدكش تقولي ال summation من عند ال zero ل infinity لنقص واحد أس N زائد اتنين لل N زائد واحد لل X أس N", "tokens": [10721, 9778, 1211, 11703, 1829, 11296, 9154, 43242, 2423, 4018, 4724, 32887, 5016, 4724, 8592, 26895, 28242, 426, 4032, 4724, 5016, 9566, 3714, 41361, 11296, 426, 30767, 16373, 3215, 36764, 24401, 11331, 16758, 3555, 30767, 1829, 4117, 1829, 5551, 3224, 15040, 46952, 3224, 15040, 47525, 4117, 8592, 6055, 39648, 1829, 2423, 28811, 9154, 43242, 2423, 4018, 5296, 13202, 5296, 1863, 4587, 9381, 36764, 24401, 5551, 3794, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 24976, 426, 30767, 16373, 3215, 36764, 24401, 24976, 1783, 5551, 3794, 426], "avg_logprob": -0.26652298302486027, "compression_ratio": 1.6298342541436464, "no_speech_prob": 0.0, "words": [{"start": 3004.39, "end": 3005.15, "word": "أخلّيها", "probability": 0.5535481770833334}, {"start": 3005.15, "end": 3005.31, "word": " من", "probability": 0.951171875}, {"start": 3005.31, "end": 3005.59, "word": " عند", "probability": 0.79833984375}, {"start": 3005.59, "end": 3005.83, "word": " ال", "probability": 0.87548828125}, {"start": 3005.83, "end": 3006.05, "word": " zero", "probability": 0.2001953125}, {"start": 3006.05, "end": 3006.49, "word": " بروح", "probability": 0.798828125}, {"start": 3006.49, "end": 3007.05, "word": " بشيل", "probability": 0.9534505208333334}, {"start": 3007.05, "end": 3007.53, "word": " كل", "probability": 0.9697265625}, {"start": 3007.53, "end": 3007.87, "word": " N", "probability": 0.413330078125}, {"start": 3007.87, "end": 3008.31, "word": " و", "probability": 0.779296875}, {"start": 3008.31, "end": 3008.67, "word": " بحط", "probability": 0.9288736979166666}, {"start": 3008.67, "end": 3009.45, "word": " مكانها", "probability": 0.9908854166666666}, {"start": 3009.45, "end": 3010.27, "word": " N", "probability": 0.76171875}, {"start": 3010.27, "end": 3010.85, "word": " زائد", "probability": 0.6084187825520834}, {"start": 3010.85, "end": 3011.15, "word": " واحد", "probability": 0.827880859375}, {"start": 3011.15, "end": 3011.61, "word": " حابب", "probability": 0.6044921875}, {"start": 3011.61, "end": 3012.03, "word": " زيكي", "probability": 0.64324951171875}, {"start": 3012.03, "end": 3012.43, "word": " أهلا", "probability": 0.8434244791666666}, {"start": 3012.43, "end": 3013.01, "word": " وسهلا", "probability": 0.86962890625}, {"start": 3013.01, "end": 3014.11, "word": " بدكش", "probability": 0.7062174479166666}, {"start": 3014.11, "end": 3014.63, "word": " تقولي", "probability": 0.8671875}, {"start": 3014.63, "end": 3014.75, "word": " ال", "probability": 0.420654296875}, {"start": 3014.75, "end": 3015.37, "word": " summation", "probability": 0.96044921875}, {"start": 3015.37, "end": 3015.65, "word": " من", "probability": 0.498779296875}, {"start": 3015.65, "end": 3015.89, "word": " عند", "probability": 0.732421875}, {"start": 3015.89, "end": 3016.11, "word": " ال", "probability": 0.92236328125}, {"start": 3016.11, "end": 3016.45, "word": " zero", "probability": 0.83447265625}, {"start": 3016.45, "end": 3016.63, "word": " ل", "probability": 0.9638671875}, {"start": 3016.63, "end": 3017.31, "word": " infinity", "probability": 0.75341796875}, {"start": 3017.31, "end": 3018.59, "word": " لنقص", "probability": 0.7276611328125}, {"start": 3018.59, "end": 3019.09, "word": " واحد", "probability": 0.96826171875}, {"start": 3019.09, "end": 3019.59, "word": " أس", "probability": 0.705078125}, {"start": 3019.59, "end": 3020.11, "word": " N", "probability": 0.90185546875}, {"start": 3020.11, "end": 3020.97, "word": " زائد", "probability": 0.8255208333333334}, {"start": 3020.97, "end": 3022.29, "word": " اتنين", "probability": 0.955078125}, {"start": 3022.29, "end": 3022.75, "word": " لل", "probability": 0.62451171875}, {"start": 3022.75, "end": 3023.23, "word": " N", "probability": 0.91162109375}, {"start": 3023.23, "end": 3024.09, "word": " زائد", "probability": 0.9713541666666666}, {"start": 3024.09, "end": 3024.87, "word": " واحد", "probability": 0.986328125}, {"start": 3024.87, "end": 3025.53, "word": " لل", "probability": 0.818359375}, {"start": 3025.53, "end": 3025.93, "word": " X", "probability": 0.8271484375}, {"start": 3025.93, "end": 3026.31, "word": " أس", "probability": 0.949951171875}, {"start": 3026.31, "end": 3026.79, "word": " N", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 124, "seek": 304450, "start": 3027.52, "end": 3044.5, "text": "يعني شيلت كل إنه حطيت مكانها، انزلت، كتبتها على الصيغة هذه، و الله على الصيغة هذه، الأتنين are the same طيب، خلصنا، نمر بيه؟ نمر بيه جالي هاتلي الدالة هذه، الدالة هذه عبارة عن إيش؟", "tokens": [40228, 22653, 13412, 26895, 2655, 28242, 36145, 3224, 11331, 9566, 36081, 3714, 41361, 11296, 12399, 16472, 11622, 1211, 2655, 12399, 9122, 2655, 3555, 2655, 11296, 15844, 31767, 1829, 17082, 3660, 29538, 12399, 4032, 21984, 15844, 31767, 1829, 17082, 3660, 29538, 12399, 16247, 2655, 1863, 9957, 366, 264, 912, 23032, 1829, 3555, 12399, 16490, 1211, 9381, 8315, 12399, 8717, 29973, 4724, 1829, 3224, 22807, 8717, 29973, 4724, 1829, 3224, 10874, 6027, 1829, 8032, 9307, 20292, 32748, 6027, 3660, 29538, 12399, 32748, 6027, 3660, 29538, 6225, 3555, 9640, 3660, 18871, 11933, 1829, 8592, 22807], "avg_logprob": -0.18665994687746928, "compression_ratio": 1.8160919540229885, "no_speech_prob": 0.0, "words": [{"start": 3027.52, "end": 3027.98, "word": "يعني", "probability": 0.7073974609375}, {"start": 3027.98, "end": 3028.72, "word": " شيلت", "probability": 0.7039388020833334}, {"start": 3028.72, "end": 3029.18, "word": " كل", "probability": 0.9384765625}, {"start": 3029.18, "end": 3029.66, "word": " إنه", "probability": 0.611083984375}, {"start": 3029.66, "end": 3030.1, "word": " حطيت", "probability": 0.9417317708333334}, {"start": 3030.1, "end": 3031.26, "word": " مكانها،", "probability": 0.83544921875}, {"start": 3031.26, "end": 3031.82, "word": " انزلت،", "probability": 0.6591796875}, {"start": 3031.82, "end": 3032.58, "word": " كتبتها", "probability": 0.9357421875}, {"start": 3032.58, "end": 3032.78, "word": " على", "probability": 0.95361328125}, {"start": 3032.78, "end": 3033.34, "word": " الصيغة", "probability": 0.9471435546875}, {"start": 3033.34, "end": 3033.66, "word": " هذه،", "probability": 0.62646484375}, {"start": 3033.66, "end": 3033.74, "word": " و", "probability": 0.70166015625}, {"start": 3033.74, "end": 3033.9, "word": " الله", "probability": 0.943359375}, {"start": 3033.9, "end": 3034.12, "word": " على", "probability": 0.91552734375}, {"start": 3034.12, "end": 3034.56, "word": " الصيغة", "probability": 0.9913330078125}, {"start": 3034.56, "end": 3035.24, "word": " هذه،", "probability": 0.798095703125}, {"start": 3035.24, "end": 3036.04, "word": " الأتنين", "probability": 0.7578125}, {"start": 3036.04, "end": 3036.44, "word": " are", "probability": 0.7705078125}, {"start": 3036.44, "end": 3036.7, "word": " the", "probability": 0.94873046875}, {"start": 3036.7, "end": 3037.22, "word": " same", "probability": 0.92626953125}, {"start": 3037.22, "end": 3038.56, "word": " طيب،", "probability": 0.77081298828125}, {"start": 3038.56, "end": 3039.52, "word": " خلصنا،", "probability": 0.9193359375}, {"start": 3039.52, "end": 3039.86, "word": " نمر", "probability": 0.820068359375}, {"start": 3039.86, "end": 3040.86, "word": " بيه؟", "probability": 0.83740234375}, {"start": 3040.86, "end": 3041.2, "word": " نمر", "probability": 0.836669921875}, {"start": 3041.2, "end": 3041.44, "word": " بيه", "probability": 0.9967447916666666}, {"start": 3041.44, "end": 3041.82, "word": " جالي", "probability": 0.7172037760416666}, {"start": 3041.82, "end": 3042.22, "word": " هاتلي", "probability": 0.9235026041666666}, {"start": 3042.22, "end": 3042.86, "word": " الدالة", "probability": 0.9376627604166666}, {"start": 3042.86, "end": 3043.2, "word": " هذه،", "probability": 0.84326171875}, {"start": 3043.2, "end": 3043.52, "word": " الدالة", "probability": 0.986328125}, {"start": 3043.52, "end": 3043.66, "word": " هذه", "probability": 0.95849609375}, {"start": 3043.66, "end": 3043.98, "word": " عبارة", "probability": 0.9808349609375}, {"start": 3043.98, "end": 3044.14, "word": " عن", "probability": 0.9873046875}, {"start": 3044.14, "end": 3044.5, "word": " إيش؟", "probability": 0.8321533203125}], "temperature": 1.0}, {"id": 125, "seek": 307238, "start": 3045.16, "end": 3072.38, "text": "تكامل الدالة هذه مظبوط إذا لو جي تقوله ها ال جي of X هي تكامل واحد على واحد زائد X DX معناته الدالة اللي فوق بدي أعملها إيش integration term by term يبقى X ناقص X تربيه على اتنين زاد X تكيب على تلاتة", "tokens": [2655, 4117, 10943, 1211, 32748, 6027, 3660, 29538, 3714, 19913, 3555, 2407, 9566, 11933, 15730, 45164, 10874, 1829, 6055, 39648, 3224, 8032, 995, 2423, 10874, 1829, 295, 1783, 39896, 6055, 4117, 10943, 1211, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 1783, 48817, 20449, 8315, 47395, 32748, 6027, 3660, 13672, 1829, 6156, 30543, 4724, 16254, 5551, 25957, 1211, 11296, 11933, 1829, 8592, 10980, 1433, 538, 1433, 7251, 3555, 4587, 7578, 1783, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3224, 15844, 1975, 2655, 1863, 9957, 30767, 18513, 1783, 6055, 4117, 1829, 3555, 15844, 6055, 1211, 9307, 3660], "avg_logprob": -0.24665179027586567, "compression_ratio": 1.5776699029126213, "no_speech_prob": 0.0, "words": [{"start": 3045.16, "end": 3046.0, "word": "تكامل", "probability": 0.83984375}, {"start": 3046.0, "end": 3046.64, "word": " الدالة", "probability": 0.687744140625}, {"start": 3046.64, "end": 3046.9, "word": " هذه", "probability": 0.362548828125}, {"start": 3046.9, "end": 3047.6, "word": " مظبوط", "probability": 0.767431640625}, {"start": 3047.6, "end": 3048.22, "word": " إذا", "probability": 0.743896484375}, {"start": 3048.22, "end": 3048.48, "word": " لو", "probability": 0.95458984375}, {"start": 3048.48, "end": 3048.72, "word": " جي", "probability": 0.60205078125}, {"start": 3048.72, "end": 3050.04, "word": " تقوله", "probability": 0.6443684895833334}, {"start": 3050.04, "end": 3051.0, "word": " ها", "probability": 0.360595703125}, {"start": 3051.0, "end": 3051.3, "word": " ال", "probability": 0.79345703125}, {"start": 3051.3, "end": 3051.78, "word": " جي", "probability": 0.60687255859375}, {"start": 3051.78, "end": 3052.26, "word": " of", "probability": 0.79345703125}, {"start": 3052.26, "end": 3052.8, "word": " X", "probability": 0.308837890625}, {"start": 3052.8, "end": 3053.52, "word": " هي", "probability": 0.8994140625}, {"start": 3053.52, "end": 3054.6, "word": " تكامل", "probability": 0.9884033203125}, {"start": 3054.6, "end": 3055.6, "word": " واحد", "probability": 0.935791015625}, {"start": 3055.6, "end": 3056.18, "word": " على", "probability": 0.8056640625}, {"start": 3056.18, "end": 3056.74, "word": " واحد", "probability": 0.982421875}, {"start": 3056.74, "end": 3057.36, "word": " زائد", "probability": 0.9309895833333334}, {"start": 3057.36, "end": 3057.78, "word": " X", "probability": 0.80712890625}, {"start": 3057.78, "end": 3058.42, "word": " DX", "probability": 0.8466796875}, {"start": 3058.42, "end": 3059.5, "word": " معناته", "probability": 0.9461263020833334}, {"start": 3059.5, "end": 3060.04, "word": " الدالة", "probability": 0.9886067708333334}, {"start": 3060.04, "end": 3060.2, "word": " اللي", "probability": 0.8583984375}, {"start": 3060.2, "end": 3060.68, "word": " فوق", "probability": 0.813720703125}, {"start": 3060.68, "end": 3061.0, "word": " بدي", "probability": 0.791015625}, {"start": 3061.0, "end": 3061.68, "word": " أعملها", "probability": 0.72479248046875}, {"start": 3061.68, "end": 3062.2, "word": " إيش", "probability": 0.68603515625}, {"start": 3062.2, "end": 3063.24, "word": " integration", "probability": 0.767578125}, {"start": 3063.24, "end": 3064.2, "word": " term", "probability": 0.94873046875}, {"start": 3064.2, "end": 3064.56, "word": " by", "probability": 0.96630859375}, {"start": 3064.56, "end": 3065.1, "word": " term", "probability": 0.95849609375}, {"start": 3065.1, "end": 3066.02, "word": " يبقى", "probability": 0.9383544921875}, {"start": 3066.02, "end": 3066.4, "word": " X", "probability": 0.96240234375}, {"start": 3066.4, "end": 3067.64, "word": " ناقص", "probability": 0.8507080078125}, {"start": 3067.64, "end": 3067.94, "word": " X", "probability": 0.9267578125}, {"start": 3067.94, "end": 3068.42, "word": " تربيه", "probability": 0.67718505859375}, {"start": 3068.42, "end": 3068.66, "word": " على", "probability": 0.93994140625}, {"start": 3068.66, "end": 3069.26, "word": " اتنين", "probability": 0.8773193359375}, {"start": 3069.26, "end": 3070.32, "word": " زاد", "probability": 0.871337890625}, {"start": 3070.32, "end": 3070.62, "word": " X", "probability": 0.97607421875}, {"start": 3070.62, "end": 3071.12, "word": " تكيب", "probability": 0.7816162109375}, {"start": 3071.12, "end": 3071.48, "word": " على", "probability": 0.9169921875}, {"start": 3071.48, "end": 3072.38, "word": " تلاتة", "probability": 0.9609375}], "temperature": 1.0}, {"id": 126, "seek": 309992, "start": 3092.48, "end": 3099.92, "text": "يبقى هذا نتيجة التكامل بروح اضيف له زائد constant C", "tokens": [1829, 3555, 4587, 7578, 23758, 8717, 31371, 7435, 3660, 16712, 4117, 10943, 1211, 4724, 32887, 5016, 1975, 11242, 33911, 46740, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.36838942995438206, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 3092.48, "end": 3093.88, "word": "يبقى", "probability": 0.6545257568359375}, {"start": 3093.88, "end": 3094.24, "word": " هذا", "probability": 0.51708984375}, {"start": 3094.24, "end": 3095.04, "word": " نتيجة", "probability": 0.916259765625}, {"start": 3095.04, "end": 3096.14, "word": " التكامل", "probability": 0.97802734375}, {"start": 3096.14, "end": 3097.14, "word": " بروح", "probability": 0.5756022135416666}, {"start": 3097.14, "end": 3097.64, "word": " اضيف", "probability": 0.8528645833333334}, {"start": 3097.64, "end": 3097.9, "word": " له", "probability": 0.447021484375}, {"start": 3097.9, "end": 3098.58, "word": " زائد", "probability": 0.6433512369791666}, {"start": 3098.58, "end": 3099.3, "word": " constant", "probability": 0.86767578125}, {"start": 3099.3, "end": 3099.92, "word": " C", "probability": 0.52783203125}], "temperature": 1.0}, {"id": 127, "seek": 312452, "start": 3101.22, "end": 3124.52, "text": "كويس الان شوفيش النتيجة اللى حصلنا عليها الان قولنا زيادة كونستانسية احنا عندنا ال interval و ال convergence اللى هذى اتدالى من و لا وين يعني محتوى على ال zero كويس بدي بقوله at x يساوي zero", "tokens": [4117, 45865, 3794, 2423, 7649, 13412, 38688, 1829, 8592, 28239, 31371, 7435, 3660, 13672, 7578, 11331, 36520, 8315, 25894, 11296, 2423, 7649, 12174, 12610, 8315, 30767, 1829, 18513, 3660, 9122, 11536, 14851, 7649, 3794, 10632, 1975, 5016, 8315, 43242, 8315, 2423, 15035, 4032, 2423, 32181, 13672, 7578, 8032, 8848, 7578, 1975, 2655, 3215, 6027, 7578, 9154, 4032, 20193, 4032, 9957, 37495, 22653, 3714, 33753, 2407, 7578, 15844, 2423, 4018, 9122, 45865, 3794, 4724, 16254, 4724, 39648, 3224, 412, 2031, 7251, 3794, 995, 45865, 4018], "avg_logprob": -0.35367647619808423, "compression_ratio": 1.6354166666666667, "no_speech_prob": 0.0, "words": [{"start": 3101.22, "end": 3101.88, "word": "كويس", "probability": 0.6410319010416666}, {"start": 3101.88, "end": 3103.28, "word": " الان", "probability": 0.6112060546875}, {"start": 3103.28, "end": 3104.4, "word": " شوفيش", "probability": 0.714111328125}, {"start": 3104.4, "end": 3104.92, "word": " النتيجة", "probability": 0.93115234375}, {"start": 3104.92, "end": 3105.06, "word": " اللى", "probability": 0.78759765625}, {"start": 3105.06, "end": 3105.64, "word": " حصلنا", "probability": 0.9521484375}, {"start": 3105.64, "end": 3106.38, "word": " عليها", "probability": 0.983154296875}, {"start": 3106.38, "end": 3107.26, "word": " الان", "probability": 0.783935546875}, {"start": 3107.26, "end": 3107.66, "word": " قولنا", "probability": 0.715576171875}, {"start": 3107.66, "end": 3108.24, "word": " زيادة", "probability": 0.489532470703125}, {"start": 3108.24, "end": 3109.36, "word": " كونستانسية", "probability": 0.6900634765625}, {"start": 3109.36, "end": 3110.34, "word": " احنا", "probability": 0.9326171875}, {"start": 3110.34, "end": 3111.2, "word": " عندنا", "probability": 0.818359375}, {"start": 3111.2, "end": 3111.5, "word": " ال", "probability": 0.8916015625}, {"start": 3111.5, "end": 3112.16, "word": " interval", "probability": 0.468017578125}, {"start": 3112.16, "end": 3112.48, "word": " و", "probability": 0.439208984375}, {"start": 3112.48, "end": 3112.58, "word": " ال", "probability": 0.5048828125}, {"start": 3112.58, "end": 3113.14, "word": " convergence", "probability": 0.95849609375}, {"start": 3113.14, "end": 3113.48, "word": " اللى", "probability": 0.6099853515625}, {"start": 3113.48, "end": 3113.72, "word": " هذى", "probability": 0.623046875}, {"start": 3113.72, "end": 3114.1, "word": " اتدالى", "probability": 0.6482421875}, {"start": 3114.1, "end": 3114.22, "word": " من", "probability": 0.9501953125}, {"start": 3114.22, "end": 3114.36, "word": " و", "probability": 0.759765625}, {"start": 3114.36, "end": 3114.5, "word": " لا", "probability": 0.5390625}, {"start": 3114.5, "end": 3114.96, "word": " وين", "probability": 0.702880859375}, {"start": 3114.96, "end": 3116.22, "word": " يعني", "probability": 0.825927734375}, {"start": 3116.22, "end": 3116.84, "word": " محتوى", "probability": 0.909912109375}, {"start": 3116.84, "end": 3117.16, "word": " على", "probability": 0.90185546875}, {"start": 3117.16, "end": 3117.4, "word": " ال", "probability": 0.9208984375}, {"start": 3117.4, "end": 3117.8, "word": " zero", "probability": 0.69677734375}, {"start": 3117.8, "end": 3119.1, "word": " كويس", "probability": 0.7757975260416666}, {"start": 3119.1, "end": 3119.86, "word": " بدي", "probability": 0.5064697265625}, {"start": 3119.86, "end": 3120.76, "word": " بقوله", "probability": 0.8719075520833334}, {"start": 3120.76, "end": 3121.52, "word": " at", "probability": 0.86572265625}, {"start": 3121.52, "end": 3122.8, "word": " x", "probability": 0.77392578125}, {"start": 3122.8, "end": 3124.0, "word": " يساوي", "probability": 0.864013671875}, {"start": 3124.0, "end": 3124.52, "word": " zero", "probability": 0.60986328125}], "temperature": 1.0}, {"id": 128, "seek": 314062, "start": 3126.6, "end": 3140.62, "text": "بس قبل ال X يستوي Zero التكامل هذي بقداش أبلن absolute value ل 1 زائد X بدي أشوف هل ال absolute هذي ضرورية ولا ماهياش ضرورية", "tokens": [3555, 3794, 12174, 36150, 2423, 1783, 7251, 14851, 45865, 17182, 16712, 4117, 10943, 1211, 8032, 8848, 1829, 4724, 28543, 33599, 5551, 3555, 1211, 1863, 8236, 2158, 5296, 502, 30767, 16373, 3215, 1783, 4724, 16254, 5551, 8592, 38688, 8032, 1211, 2423, 8236, 8032, 8848, 1829, 48812, 2288, 13063, 10632, 49429, 19446, 3224, 1829, 33599, 48812, 2288, 13063, 10632], "avg_logprob": -0.31007541973015357, "compression_ratio": 1.3732394366197183, "no_speech_prob": 0.0, "words": [{"start": 3126.6, "end": 3126.94, "word": "بس", "probability": 0.6435546875}, {"start": 3126.94, "end": 3127.28, "word": " قبل", "probability": 0.87744140625}, {"start": 3127.28, "end": 3127.44, "word": " ال", "probability": 0.81005859375}, {"start": 3127.44, "end": 3127.62, "word": " X", "probability": 0.44189453125}, {"start": 3127.62, "end": 3128.06, "word": " يستوي", "probability": 0.6400553385416666}, {"start": 3128.06, "end": 3128.34, "word": " Zero", "probability": 0.30859375}, {"start": 3128.34, "end": 3129.04, "word": " التكامل", "probability": 0.8421630859375}, {"start": 3129.04, "end": 3129.36, "word": " هذي", "probability": 0.5940755208333334}, {"start": 3129.36, "end": 3130.16, "word": " بقداش", "probability": 0.8123372395833334}, {"start": 3130.16, "end": 3131.68, "word": " أبلن", "probability": 0.4814300537109375}, {"start": 3131.68, "end": 3132.7, "word": " absolute", "probability": 0.61181640625}, {"start": 3132.7, "end": 3133.5, "word": " value", "probability": 0.9794921875}, {"start": 3133.5, "end": 3133.68, "word": " ل", "probability": 0.9111328125}, {"start": 3133.68, "end": 3134.0, "word": " 1", "probability": 0.4189453125}, {"start": 3134.0, "end": 3134.66, "word": " زائد", "probability": 0.7705078125}, {"start": 3134.66, "end": 3135.08, "word": " X", "probability": 0.9814453125}, {"start": 3135.08, "end": 3136.42, "word": " بدي", "probability": 0.3719482421875}, {"start": 3136.42, "end": 3136.92, "word": " أشوف", "probability": 0.919921875}, {"start": 3136.92, "end": 3137.22, "word": " هل", "probability": 0.972412109375}, {"start": 3137.22, "end": 3137.36, "word": " ال", "probability": 0.9189453125}, {"start": 3137.36, "end": 3137.94, "word": " absolute", "probability": 0.9345703125}, {"start": 3137.94, "end": 3138.56, "word": " هذي", "probability": 0.8662109375}, {"start": 3138.56, "end": 3139.18, "word": " ضرورية", "probability": 0.983642578125}, {"start": 3139.18, "end": 3139.38, "word": " ولا", "probability": 0.6728515625}, {"start": 3139.38, "end": 3139.94, "word": " ماهياش", "probability": 0.9293212890625}, {"start": 3139.94, "end": 3140.62, "word": " ضرورية", "probability": 0.989990234375}], "temperature": 1.0}, {"id": 129, "seek": 316765, "start": 3141.09, "end": 3167.65, "text": "أحنا عندنا ال interval من واحد لسالب واحد لا بيساوي واحد ولا بيساوي سالب واحد إذا عمره المقدار بين القوسين بدي أخد قيمة سالبة مش إمكانية على ال interval من سالب واحد إلى واحد يعني أكبر من سالب واحد و أجل من واحد إذا لا يمكن هذا عمره ياخد قيمة", "tokens": [10721, 5016, 8315, 43242, 8315, 2423, 15035, 9154, 36764, 24401, 5296, 3794, 6027, 3555, 36764, 24401, 20193, 4724, 1829, 3794, 995, 45865, 36764, 24401, 49429, 4724, 1829, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401, 11933, 15730, 6225, 29973, 3224, 9673, 28543, 9640, 49374, 25062, 41779, 9957, 4724, 16254, 5551, 9778, 3215, 12174, 32640, 3660, 8608, 6027, 49401, 37893, 11933, 2304, 41361, 10632, 15844, 2423, 15035, 9154, 8608, 6027, 3555, 36764, 24401, 30731, 36764, 24401, 37495, 22653, 5551, 4117, 26890, 9154, 8608, 6027, 3555, 36764, 24401, 4032, 5551, 7435, 1211, 9154, 36764, 24401, 11933, 15730, 20193, 7251, 43020, 23758, 6225, 29973, 3224, 7251, 47283, 3215, 12174, 32640, 3660], "avg_logprob": -0.21373279488414798, "compression_ratio": 2.2406417112299466, "no_speech_prob": 0.0, "words": [{"start": 3141.09, "end": 3141.51, "word": "أحنا", "probability": 0.6928304036458334}, {"start": 3141.51, "end": 3141.87, "word": " عندنا", "probability": 0.739990234375}, {"start": 3141.87, "end": 3141.95, "word": " ال", "probability": 0.47314453125}, {"start": 3141.95, "end": 3142.23, "word": " interval", "probability": 0.489501953125}, {"start": 3142.23, "end": 3142.51, "word": " من", "probability": 0.95654296875}, {"start": 3142.51, "end": 3144.65, "word": " واحد", "probability": 0.6519775390625}, {"start": 3144.65, "end": 3145.09, "word": " لسالب", "probability": 0.8272705078125}, {"start": 3145.09, "end": 3145.29, "word": " واحد", "probability": 0.989013671875}, {"start": 3145.29, "end": 3145.53, "word": " لا", "probability": 0.1839599609375}, {"start": 3145.53, "end": 3146.25, "word": " بيساوي", "probability": 0.8396484375}, {"start": 3146.25, "end": 3146.85, "word": " واحد", "probability": 0.969482421875}, {"start": 3146.85, "end": 3147.09, "word": " ولا", "probability": 0.81298828125}, {"start": 3147.09, "end": 3147.65, "word": " بيساوي", "probability": 0.96103515625}, {"start": 3147.65, "end": 3148.21, "word": " سالب", "probability": 0.96142578125}, {"start": 3148.21, "end": 3148.63, "word": " واحد", "probability": 0.99267578125}, {"start": 3148.63, "end": 3149.23, "word": " إذا", "probability": 0.6251220703125}, {"start": 3149.23, "end": 3149.91, "word": " عمره", "probability": 0.8414713541666666}, {"start": 3149.91, "end": 3150.55, "word": " المقدار", "probability": 0.9163411458333334}, {"start": 3150.55, "end": 3150.89, "word": " بين", "probability": 0.970703125}, {"start": 3150.89, "end": 3151.79, "word": " القوسين", "probability": 0.788818359375}, {"start": 3151.79, "end": 3152.15, "word": " بدي", "probability": 0.5870361328125}, {"start": 3152.15, "end": 3152.67, "word": " أخد", "probability": 0.7360026041666666}, {"start": 3152.67, "end": 3153.29, "word": " قيمة", "probability": 0.9798177083333334}, {"start": 3153.29, "end": 3153.93, "word": " سالبة", "probability": 0.9599609375}, {"start": 3153.93, "end": 3154.91, "word": " مش", "probability": 0.450927734375}, {"start": 3154.91, "end": 3155.89, "word": " إمكانية", "probability": 0.924072265625}, {"start": 3155.89, "end": 3156.43, "word": " على", "probability": 0.267333984375}, {"start": 3156.43, "end": 3156.59, "word": " ال", "probability": 0.9931640625}, {"start": 3156.59, "end": 3157.05, "word": " interval", "probability": 0.94189453125}, {"start": 3157.05, "end": 3157.37, "word": " من", "probability": 0.9931640625}, {"start": 3157.37, "end": 3157.87, "word": " سالب", "probability": 0.98193359375}, {"start": 3157.87, "end": 3158.45, "word": " واحد", "probability": 0.987060546875}, {"start": 3158.45, "end": 3158.67, "word": " إلى", "probability": 0.720703125}, {"start": 3158.67, "end": 3159.09, "word": " واحد", "probability": 0.991455078125}, {"start": 3159.09, "end": 3160.31, "word": " يعني", "probability": 0.5584716796875}, {"start": 3160.31, "end": 3161.15, "word": " أكبر", "probability": 0.93115234375}, {"start": 3161.15, "end": 3161.39, "word": " من", "probability": 0.9951171875}, {"start": 3161.39, "end": 3161.69, "word": " سالب", "probability": 0.9806315104166666}, {"start": 3161.69, "end": 3161.97, "word": " واحد", "probability": 0.991455078125}, {"start": 3161.97, "end": 3162.19, "word": " و", "probability": 0.658203125}, {"start": 3162.19, "end": 3162.77, "word": " أجل", "probability": 0.8211263020833334}, {"start": 3162.77, "end": 3163.01, "word": " من", "probability": 0.9892578125}, {"start": 3163.01, "end": 3164.33, "word": " واحد", "probability": 0.70751953125}, {"start": 3164.33, "end": 3164.67, "word": " إذا", "probability": 0.917236328125}, {"start": 3164.67, "end": 3164.97, "word": " لا", "probability": 0.609375}, {"start": 3164.97, "end": 3165.65, "word": " يمكن", "probability": 0.958740234375}, {"start": 3165.65, "end": 3166.07, "word": " هذا", "probability": 0.912109375}, {"start": 3166.07, "end": 3166.59, "word": " عمره", "probability": 0.9847005208333334}, {"start": 3166.59, "end": 3167.07, "word": " ياخد", "probability": 0.9456380208333334}, {"start": 3167.07, "end": 3167.65, "word": " قيمة", "probability": 0.9905598958333334}], "temperature": 1.0}, {"id": 130, "seek": 318716, "start": 3167.84, "end": 3187.16, "text": "سالبة يبقى هذا بده يساوي لن واحد زائد X on الفترة من سالب واحد إلى واحد يبقى ايش حصل عندنا حصل عندنا اللي هو لن وقبل لن واحد زائد X", "tokens": [3794, 6027, 49401, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3794, 995, 45865, 5296, 1863, 36764, 24401, 30767, 16373, 3215, 1783, 322, 27188, 2655, 25720, 9154, 8608, 6027, 3555, 36764, 24401, 30731, 36764, 24401, 7251, 3555, 4587, 7578, 1975, 1829, 8592, 11331, 36520, 43242, 8315, 11331, 36520, 43242, 8315, 13672, 1829, 31439, 5296, 1863, 4032, 4587, 36150, 5296, 1863, 36764, 24401, 30767, 16373, 3215, 1783], "avg_logprob": -0.2012593345855599, "compression_ratio": 1.7751937984496124, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3167.84, "end": 3168.46, "word": "سالبة", "probability": 0.499755859375}, {"start": 3168.46, "end": 3168.9, "word": " يبقى", "probability": 0.892578125}, {"start": 3168.9, "end": 3169.3, "word": " هذا", "probability": 0.9150390625}, {"start": 3169.3, "end": 3169.88, "word": " بده", "probability": 0.7275390625}, {"start": 3169.88, "end": 3170.62, "word": " يساوي", "probability": 0.9722900390625}, {"start": 3170.62, "end": 3171.66, "word": " لن", "probability": 0.4945068359375}, {"start": 3171.66, "end": 3172.3, "word": " واحد", "probability": 0.980712890625}, {"start": 3172.3, "end": 3172.88, "word": " زائد", "probability": 0.8802083333333334}, {"start": 3172.88, "end": 3173.36, "word": " X", "probability": 0.46728515625}, {"start": 3173.36, "end": 3174.0, "word": " on", "probability": 0.7490234375}, {"start": 3174.0, "end": 3175.18, "word": " الفترة", "probability": 0.98388671875}, {"start": 3175.18, "end": 3175.44, "word": " من", "probability": 0.9736328125}, {"start": 3175.44, "end": 3175.98, "word": " سالب", "probability": 0.9402669270833334}, {"start": 3175.98, "end": 3176.6, "word": " واحد", "probability": 0.9892578125}, {"start": 3176.6, "end": 3177.14, "word": " إلى", "probability": 0.58935546875}, {"start": 3177.14, "end": 3177.84, "word": " واحد", "probability": 0.984130859375}, {"start": 3177.84, "end": 3178.58, "word": " يبقى", "probability": 0.92822265625}, {"start": 3178.58, "end": 3178.78, "word": " ايش", "probability": 0.8108723958333334}, {"start": 3178.78, "end": 3179.2, "word": " حصل", "probability": 0.992431640625}, {"start": 3179.2, "end": 3179.84, "word": " عندنا", "probability": 0.989990234375}, {"start": 3179.84, "end": 3180.64, "word": " حصل", "probability": 0.708740234375}, {"start": 3180.64, "end": 3181.3, "word": " عندنا", "probability": 0.977294921875}, {"start": 3181.3, "end": 3181.74, "word": " اللي", "probability": 0.95458984375}, {"start": 3181.74, "end": 3181.92, "word": " هو", "probability": 0.970703125}, {"start": 3181.92, "end": 3182.62, "word": " لن", "probability": 0.76953125}, {"start": 3182.62, "end": 3183.84, "word": " وقبل", "probability": 0.6073404947916666}, {"start": 3183.84, "end": 3184.64, "word": " لن", "probability": 0.930908203125}, {"start": 3184.64, "end": 3185.66, "word": " واحد", "probability": 0.986328125}, {"start": 3185.66, "end": 3186.7, "word": " زائد", "probability": 0.97900390625}, {"start": 3186.7, "end": 3187.16, "word": " X", "probability": 0.986328125}], "temperature": 1.0}, {"id": 131, "seek": 321090, "start": 3187.36, "end": 3210.9, "text": "بالشكل أن هذا اللي هو g of x بده يسوي قداش x ناقص x تربيه على 2 زيد x تكيب على 3 ناقص x أربع على 4 زائد ناقص 1 to the power n x أس n زائد 1 n زائد 1 زائد constant C", "tokens": [3555, 6027, 8592, 28820, 14739, 23758, 13672, 1829, 31439, 290, 295, 2031, 47525, 3224, 7251, 3794, 45865, 12174, 3215, 33599, 2031, 8717, 995, 4587, 9381, 2031, 6055, 2288, 21292, 3224, 15844, 568, 30767, 1829, 3215, 2031, 6055, 4117, 1829, 3555, 15844, 805, 8717, 995, 4587, 9381, 2031, 5551, 25513, 3615, 15844, 1017, 30767, 16373, 3215, 8717, 995, 4587, 9381, 502, 281, 264, 1347, 297, 2031, 5551, 3794, 297, 30767, 16373, 3215, 502, 297, 30767, 16373, 3215, 502, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.28915661573410034, "compression_ratio": 1.5534591194968554, "no_speech_prob": 0.0, "words": [{"start": 3187.36, "end": 3188.06, "word": "بالشكل", "probability": 0.8409423828125}, {"start": 3188.06, "end": 3188.34, "word": " أن", "probability": 0.27197265625}, {"start": 3188.34, "end": 3188.72, "word": " هذا", "probability": 0.78125}, {"start": 3188.72, "end": 3188.88, "word": " اللي", "probability": 0.53753662109375}, {"start": 3188.88, "end": 3189.12, "word": " هو", "probability": 0.974609375}, {"start": 3189.12, "end": 3189.62, "word": " g", "probability": 0.5771484375}, {"start": 3189.62, "end": 3190.44, "word": " of", "probability": 0.2152099609375}, {"start": 3190.44, "end": 3190.98, "word": " x", "probability": 0.9033203125}, {"start": 3190.98, "end": 3191.7, "word": " بده", "probability": 0.5135498046875}, {"start": 3191.7, "end": 3192.1, "word": " يسوي", "probability": 0.7981770833333334}, {"start": 3192.1, "end": 3192.86, "word": " قداش", "probability": 0.7566731770833334}, {"start": 3192.86, "end": 3193.7, "word": " x", "probability": 0.88916015625}, {"start": 3193.7, "end": 3194.58, "word": " ناقص", "probability": 0.85791015625}, {"start": 3194.58, "end": 3194.86, "word": " x", "probability": 0.80419921875}, {"start": 3194.86, "end": 3195.36, "word": " تربيه", "probability": 0.8192138671875}, {"start": 3195.36, "end": 3195.58, "word": " على", "probability": 0.92138671875}, {"start": 3195.58, "end": 3196.04, "word": " 2", "probability": 0.6240234375}, {"start": 3196.04, "end": 3197.1, "word": " زيد", "probability": 0.6111653645833334}, {"start": 3197.1, "end": 3197.32, "word": " x", "probability": 0.96875}, {"start": 3197.32, "end": 3197.8, "word": " تكيب", "probability": 0.8399658203125}, {"start": 3197.8, "end": 3198.02, "word": " على", "probability": 0.9189453125}, {"start": 3198.02, "end": 3198.6, "word": " 3", "probability": 0.95556640625}, {"start": 3198.6, "end": 3199.72, "word": " ناقص", "probability": 0.9716796875}, {"start": 3199.72, "end": 3199.94, "word": " x", "probability": 0.986328125}, {"start": 3199.94, "end": 3200.58, "word": " أربع", "probability": 0.7293294270833334}, {"start": 3200.58, "end": 3200.8, "word": " على", "probability": 0.78173828125}, {"start": 3200.8, "end": 3201.3, "word": " 4", "probability": 0.56884765625}, {"start": 3201.3, "end": 3202.52, "word": " زائد", "probability": 0.7342936197916666}, {"start": 3202.52, "end": 3203.08, "word": " ناقص", "probability": 0.9686279296875}, {"start": 3203.08, "end": 3203.36, "word": " 1", "probability": 0.783203125}, {"start": 3203.36, "end": 3203.66, "word": " to", "probability": 0.92041015625}, {"start": 3203.66, "end": 3203.84, "word": " the", "probability": 0.91259765625}, {"start": 3203.84, "end": 3204.28, "word": " power", "probability": 0.8876953125}, {"start": 3204.28, "end": 3204.74, "word": " n", "probability": 0.72314453125}, {"start": 3204.74, "end": 3205.42, "word": " x", "probability": 0.82421875}, {"start": 3205.42, "end": 3205.76, "word": " أس", "probability": 0.4146728515625}, {"start": 3205.76, "end": 3206.06, "word": " n", "probability": 0.79150390625}, {"start": 3206.06, "end": 3206.58, "word": " زائد", "probability": 0.8831380208333334}, {"start": 3206.58, "end": 3207.1, "word": " 1", "probability": 0.8994140625}, {"start": 3207.1, "end": 3207.78, "word": " n", "probability": 0.397216796875}, {"start": 3207.78, "end": 3208.26, "word": " زائد", "probability": 0.87353515625}, {"start": 3208.26, "end": 3208.82, "word": " 1", "probability": 0.974609375}, {"start": 3208.82, "end": 3209.84, "word": " زائد", "probability": 0.9562174479166666}, {"start": 3209.84, "end": 3210.36, "word": " constant", "probability": 0.34033203125}, {"start": 3210.36, "end": 3210.9, "word": " C", "probability": 0.4541015625}], "temperature": 1.0}, {"id": 132, "seek": 322240, "start": 3211.34, "end": 3222.4, "text": "الان zero موجود في الفترة عادية صحيح ولا لا ممكن احسب ال constant عند ال zero فبجي بقوله at x يساوي zero ويهرب", "tokens": [6027, 7649, 4018, 3714, 29245, 23328, 8978, 27188, 2655, 25720, 6225, 18513, 10632, 20328, 5016, 1829, 5016, 49429, 20193, 3714, 43020, 1975, 5016, 35457, 2423, 5754, 43242, 2423, 4018, 6156, 3555, 7435, 1829, 4724, 39648, 3224, 412, 2031, 7251, 3794, 995, 45865, 4018, 4032, 1829, 3224, 25513], "avg_logprob": -0.3421223933498065, "compression_ratio": 1.3257575757575757, "no_speech_prob": 0.0, "words": [{"start": 3211.34, "end": 3211.76, "word": "الان", "probability": 0.5111083984375}, {"start": 3211.76, "end": 3212.12, "word": " zero", "probability": 0.059906005859375}, {"start": 3212.12, "end": 3212.58, "word": " موجود", "probability": 0.9835611979166666}, {"start": 3212.58, "end": 3212.7, "word": " في", "probability": 0.7861328125}, {"start": 3212.7, "end": 3213.14, "word": " الفترة", "probability": 0.9866536458333334}, {"start": 3213.14, "end": 3213.48, "word": " عادية", "probability": 0.7823893229166666}, {"start": 3213.48, "end": 3213.9, "word": " صحيح", "probability": 0.84710693359375}, {"start": 3213.9, "end": 3214.06, "word": " ولا", "probability": 0.6572265625}, {"start": 3214.06, "end": 3214.36, "word": " لا", "probability": 0.7021484375}, {"start": 3214.36, "end": 3215.06, "word": " ممكن", "probability": 0.6988525390625}, {"start": 3215.06, "end": 3215.5, "word": " احسب", "probability": 0.8810221354166666}, {"start": 3215.5, "end": 3215.64, "word": " ال", "probability": 0.931640625}, {"start": 3215.64, "end": 3216.08, "word": " constant", "probability": 0.96337890625}, {"start": 3216.08, "end": 3217.0, "word": " عند", "probability": 0.91650390625}, {"start": 3217.0, "end": 3217.26, "word": " ال", "probability": 0.90771484375}, {"start": 3217.26, "end": 3217.64, "word": " zero", "probability": 0.8173828125}, {"start": 3217.64, "end": 3218.36, "word": " فبجي", "probability": 0.66119384765625}, {"start": 3218.36, "end": 3219.0, "word": " بقوله", "probability": 0.763671875}, {"start": 3219.0, "end": 3219.4, "word": " at", "probability": 0.5654296875}, {"start": 3219.4, "end": 3220.16, "word": " x", "probability": 0.9248046875}, {"start": 3220.16, "end": 3221.04, "word": " يساوي", "probability": 0.877685546875}, {"start": 3221.04, "end": 3221.7, "word": " zero", "probability": 0.69482421875}, {"start": 3221.7, "end": 3222.4, "word": " ويهرب", "probability": 0.53533935546875}], "temperature": 1.0}, {"id": 133, "seek": 325338, "start": 3223.8, "end": 3253.38, "text": "حط x بزيرو بظهر جداش لن الواحد لن الواحد اللي هو بزيرو زيرو زيرو كله زائد زيرو زائد زيرو زائد مش عارف ايه زائد ال constant c يبقى بناء عليها ال c جداش بده يساوي يبقى ال c بيساوي زيرو اذا أصبح عندي لن واحد زائد x هو x ناقص x تربيه على", "tokens": [5016, 9566, 2031, 4724, 11622, 13546, 2407, 4724, 19913, 3224, 2288, 10874, 3215, 33599, 5296, 1863, 2423, 14407, 24401, 5296, 1863, 2423, 14407, 24401, 13672, 1829, 31439, 4724, 11622, 13546, 2407, 30767, 13546, 2407, 30767, 13546, 2407, 28242, 3224, 30767, 16373, 3215, 30767, 13546, 2407, 30767, 16373, 3215, 30767, 13546, 2407, 30767, 16373, 3215, 37893, 6225, 9640, 5172, 1975, 1829, 3224, 30767, 16373, 3215, 2423, 5754, 269, 7251, 3555, 4587, 7578, 44945, 16606, 25894, 11296, 2423, 269, 10874, 3215, 33599, 47525, 3224, 7251, 3794, 995, 45865, 7251, 3555, 4587, 7578, 2423, 269, 4724, 1829, 3794, 995, 45865, 30767, 13546, 2407, 1975, 15730, 5551, 9381, 49628, 18871, 16254, 5296, 1863, 36764, 24401, 30767, 16373, 3215, 2031, 31439, 2031, 8717, 995, 4587, 9381, 2031, 6055, 2288, 21292, 3224, 15844], "avg_logprob": -0.2514648421201855, "compression_ratio": 2.056701030927835, "no_speech_prob": 0.0, "words": [{"start": 3223.8, "end": 3224.24, "word": "حط", "probability": 0.428253173828125}, {"start": 3224.24, "end": 3224.52, "word": " x", "probability": 0.40283203125}, {"start": 3224.52, "end": 3225.16, "word": " بزيرو", "probability": 0.55902099609375}, {"start": 3225.16, "end": 3225.8, "word": " بظهر", "probability": 0.5936279296875}, {"start": 3225.8, "end": 3226.4, "word": " جداش", "probability": 0.6226399739583334}, {"start": 3226.4, "end": 3227.38, "word": " لن", "probability": 0.6348876953125}, {"start": 3227.38, "end": 3227.94, "word": " الواحد", "probability": 0.9485677083333334}, {"start": 3227.94, "end": 3228.3, "word": " لن", "probability": 0.6080322265625}, {"start": 3228.3, "end": 3229.16, "word": " الواحد", "probability": 0.98583984375}, {"start": 3229.16, "end": 3229.68, "word": " اللي", "probability": 0.8701171875}, {"start": 3229.68, "end": 3229.94, "word": " هو", "probability": 0.9873046875}, {"start": 3229.94, "end": 3230.56, "word": " بزيرو", "probability": 0.90576171875}, {"start": 3230.56, "end": 3231.6, "word": " زيرو", "probability": 0.683349609375}, {"start": 3231.6, "end": 3232.26, "word": " زيرو", "probability": 0.9407552083333334}, {"start": 3232.26, "end": 3232.96, "word": " كله", "probability": 0.95263671875}, {"start": 3232.96, "end": 3233.56, "word": " زائد", "probability": 0.7967122395833334}, {"start": 3233.56, "end": 3234.12, "word": " زيرو", "probability": 0.8260091145833334}, {"start": 3234.12, "end": 3234.84, "word": " زائد", "probability": 0.8128255208333334}, {"start": 3234.84, "end": 3235.42, "word": " زيرو", "probability": 0.9615885416666666}, {"start": 3235.42, "end": 3235.82, "word": " زائد", "probability": 0.9588216145833334}, {"start": 3235.82, "end": 3236.02, "word": " مش", "probability": 0.5166015625}, {"start": 3236.02, "end": 3236.44, "word": " عارف", "probability": 0.99267578125}, {"start": 3236.44, "end": 3236.68, "word": " ايه", "probability": 0.857421875}, {"start": 3236.68, "end": 3237.2, "word": " زائد", "probability": 0.94921875}, {"start": 3237.2, "end": 3237.36, "word": " ال", "probability": 0.86328125}, {"start": 3237.36, "end": 3237.82, "word": " constant", "probability": 0.62255859375}, {"start": 3237.82, "end": 3238.54, "word": " c", "probability": 0.5322265625}, {"start": 3238.54, "end": 3239.3, "word": " يبقى", "probability": 0.9429931640625}, {"start": 3239.3, "end": 3239.72, "word": " بناء", "probability": 0.5556640625}, {"start": 3239.72, "end": 3240.12, "word": " عليها", "probability": 0.7333984375}, {"start": 3240.12, "end": 3240.22, "word": " ال", "probability": 0.58544921875}, {"start": 3240.22, "end": 3240.3, "word": " c", "probability": 0.580078125}, {"start": 3240.3, "end": 3240.66, "word": " جداش", "probability": 0.8570963541666666}, {"start": 3240.66, "end": 3240.9, "word": " بده", "probability": 0.6961669921875}, {"start": 3240.9, "end": 3241.56, "word": " يساوي", "probability": 0.9688720703125}, {"start": 3241.56, "end": 3242.82, "word": " يبقى", "probability": 0.9771728515625}, {"start": 3242.82, "end": 3243.06, "word": " ال", "probability": 0.73779296875}, {"start": 3243.06, "end": 3243.36, "word": " c", "probability": 0.89404296875}, {"start": 3243.36, "end": 3244.42, "word": " بيساوي", "probability": 0.8998046875}, {"start": 3244.42, "end": 3244.92, "word": " زيرو", "probability": 0.736083984375}, {"start": 3244.92, "end": 3245.46, "word": " اذا", "probability": 0.796630859375}, {"start": 3245.46, "end": 3246.24, "word": " أصبح", "probability": 0.8502604166666666}, {"start": 3246.24, "end": 3246.96, "word": " عندي", "probability": 0.7420654296875}, {"start": 3246.96, "end": 3247.72, "word": " لن", "probability": 0.930908203125}, {"start": 3247.72, "end": 3248.44, "word": " واحد", "probability": 0.991455078125}, {"start": 3248.44, "end": 3249.16, "word": " زائد", "probability": 0.9806315104166666}, {"start": 3249.16, "end": 3249.6, "word": " x", "probability": 0.90380859375}, {"start": 3249.6, "end": 3250.2, "word": " هو", "probability": 0.97998046875}, {"start": 3250.2, "end": 3250.78, "word": " x", "probability": 0.78564453125}, {"start": 3250.78, "end": 3251.94, "word": " ناقص", "probability": 0.9371337890625}, {"start": 3251.94, "end": 3252.36, "word": " x", "probability": 0.93310546875}, {"start": 3252.36, "end": 3253.02, "word": " تربيه", "probability": 0.8621826171875}, {"start": 3253.02, "end": 3253.38, "word": " على", "probability": 0.8974609375}], "temperature": 1.0}, {"id": 134, "seek": 325610, "start": 3253.68, "end": 3256.1, "text": "اتنين زائد", "tokens": [9307, 1863, 9957, 30767, 16373, 3215], "avg_logprob": -0.4726562670298985, "compression_ratio": 0.6333333333333333, "no_speech_prob": 0.0, "words": [{"start": 3253.68, "end": 3254.66, "word": "اتنين", "probability": 0.6912434895833334}, {"start": 3254.66, "end": 3256.1, "word": " زائد", "probability": 0.763671875}], "temperature": 1.0}, {"id": 135, "seek": 328411, "start": 3257.13, "end": 3284.11, "text": "x تكيب على 3 ناقص x أس 4 على 4 زائد ناقص 1 to the power n x to the power n plus 1 على n plus 1 أو إذا حبيت تكتبها summation من عند ال n equal 0 to infinity لسالب 1 to the power n ل x أس n زائد 1", "tokens": [87, 6055, 4117, 1829, 3555, 15844, 805, 8717, 995, 4587, 9381, 2031, 5551, 3794, 1017, 15844, 1017, 30767, 16373, 3215, 8717, 995, 4587, 9381, 502, 281, 264, 1347, 297, 2031, 281, 264, 1347, 297, 1804, 502, 15844, 297, 1804, 502, 34051, 11933, 15730, 11331, 21292, 2655, 6055, 4117, 2655, 3555, 11296, 28811, 9154, 43242, 2423, 297, 2681, 1958, 281, 13202, 5296, 3794, 6027, 3555, 502, 281, 264, 1347, 297, 5296, 2031, 5551, 3794, 297, 30767, 16373, 3215, 502], "avg_logprob": -0.21499209464350832, "compression_ratio": 1.526946107784431, "no_speech_prob": 0.0, "words": [{"start": 3257.13, "end": 3257.59, "word": "x", "probability": 0.213623046875}, {"start": 3257.59, "end": 3258.51, "word": " تكيب", "probability": 0.6705741882324219}, {"start": 3258.51, "end": 3259.03, "word": " على", "probability": 0.86181640625}, {"start": 3259.03, "end": 3259.79, "word": " 3", "probability": 0.580078125}, {"start": 3259.79, "end": 3260.91, "word": " ناقص", "probability": 0.77911376953125}, {"start": 3260.91, "end": 3261.21, "word": " x", "probability": 0.87109375}, {"start": 3261.21, "end": 3261.55, "word": " أس", "probability": 0.49462890625}, {"start": 3261.55, "end": 3262.01, "word": " 4", "probability": 0.91748046875}, {"start": 3262.01, "end": 3262.55, "word": " على", "probability": 0.77490234375}, {"start": 3262.55, "end": 3263.25, "word": " 4", "probability": 0.982421875}, {"start": 3263.25, "end": 3264.73, "word": " زائد", "probability": 0.8084309895833334}, {"start": 3264.73, "end": 3265.63, "word": " ناقص", "probability": 0.9617919921875}, {"start": 3265.63, "end": 3265.89, "word": " 1", "probability": 0.8076171875}, {"start": 3265.89, "end": 3266.23, "word": " to", "probability": 0.81396484375}, {"start": 3266.23, "end": 3266.43, "word": " the", "probability": 0.8818359375}, {"start": 3266.43, "end": 3266.91, "word": " power", "probability": 0.88916015625}, {"start": 3266.91, "end": 3267.35, "word": " n", "probability": 0.6748046875}, {"start": 3267.35, "end": 3268.07, "word": " x", "probability": 0.83935546875}, {"start": 3268.07, "end": 3268.27, "word": " to", "probability": 0.9453125}, {"start": 3268.27, "end": 3268.49, "word": " the", "probability": 0.91943359375}, {"start": 3268.49, "end": 3268.83, "word": " power", "probability": 0.884765625}, {"start": 3268.83, "end": 3269.19, "word": " n", "probability": 0.86962890625}, {"start": 3269.19, "end": 3269.69, "word": " plus", "probability": 0.70751953125}, {"start": 3269.69, "end": 3270.15, "word": " 1", "probability": 0.7392578125}, {"start": 3270.15, "end": 3270.75, "word": " على", "probability": 0.81005859375}, {"start": 3270.75, "end": 3271.01, "word": " n", "probability": 0.91796875}, {"start": 3271.01, "end": 3271.49, "word": " plus", "probability": 0.96435546875}, {"start": 3271.49, "end": 3271.97, "word": " 1", "probability": 0.85888671875}, {"start": 3271.97, "end": 3272.45, "word": " أو", "probability": 0.64111328125}, {"start": 3272.45, "end": 3272.63, "word": " إذا", "probability": 0.886474609375}, {"start": 3272.63, "end": 3273.21, "word": " حبيت", "probability": 0.7438151041666666}, {"start": 3273.21, "end": 3273.99, "word": " تكتبها", "probability": 0.97587890625}, {"start": 3273.99, "end": 3274.67, "word": " summation", "probability": 0.4609375}, {"start": 3274.67, "end": 3275.89, "word": " من", "probability": 0.978515625}, {"start": 3275.89, "end": 3276.23, "word": " عند", "probability": 0.984375}, {"start": 3276.23, "end": 3276.45, "word": " ال", "probability": 0.947265625}, {"start": 3276.45, "end": 3276.71, "word": " n", "probability": 0.56396484375}, {"start": 3276.71, "end": 3277.15, "word": " equal", "probability": 0.6826171875}, {"start": 3277.15, "end": 3277.55, "word": " 0", "probability": 0.51806640625}, {"start": 3277.55, "end": 3277.83, "word": " to", "probability": 0.96630859375}, {"start": 3277.83, "end": 3278.63, "word": " infinity", "probability": 0.88818359375}, {"start": 3278.63, "end": 3279.87, "word": " لسالب", "probability": 0.80682373046875}, {"start": 3279.87, "end": 3280.17, "word": " 1", "probability": 0.80322265625}, {"start": 3280.17, "end": 3280.53, "word": " to", "probability": 0.98486328125}, {"start": 3280.53, "end": 3280.73, "word": " the", "probability": 0.91748046875}, {"start": 3280.73, "end": 3281.15, "word": " power", "probability": 0.88525390625}, {"start": 3281.15, "end": 3281.63, "word": " n", "probability": 0.603515625}, {"start": 3281.63, "end": 3282.23, "word": " ل", "probability": 0.80419921875}, {"start": 3282.23, "end": 3282.59, "word": " x", "probability": 0.587890625}, {"start": 3282.59, "end": 3282.95, "word": " أس", "probability": 0.8583984375}, {"start": 3282.95, "end": 3283.25, "word": " n", "probability": 0.908203125}, {"start": 3283.25, "end": 3283.71, "word": " زائد", "probability": 0.951171875}, {"start": 3283.71, "end": 3284.11, "word": " 1", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 136, "seek": 331104, "start": 3284.5, "end": 3311.04, "text": "على n زائد واحد انتهى ال section وإليكم أرقام المسائل يبقى exercises اللي هو عشرة exercises عشرة عشرة سبعة عشرة سبعة", "tokens": [3615, 23942, 297, 30767, 16373, 3215, 36764, 24401, 16472, 47395, 7578, 2423, 3541, 4032, 28814, 20292, 24793, 5551, 2288, 4587, 10943, 9673, 3794, 16373, 1211, 7251, 3555, 4587, 7578, 11900, 13672, 1829, 31439, 6225, 8592, 25720, 11900, 6225, 8592, 25720, 6225, 8592, 25720, 8608, 3555, 27884, 6225, 8592, 25720, 8608, 3555, 27884], "avg_logprob": -0.1633254660750335, "compression_ratio": 1.488, "no_speech_prob": 0.0, "words": [{"start": 3284.5, "end": 3285.12, "word": "على", "probability": 0.69873046875}, {"start": 3285.12, "end": 3285.66, "word": " n", "probability": 0.2451171875}, {"start": 3285.66, "end": 3286.96, "word": " زائد", "probability": 0.7900390625}, {"start": 3286.96, "end": 3287.62, "word": " واحد", "probability": 0.892578125}, {"start": 3287.62, "end": 3289.42, "word": " انتهى", "probability": 0.8702799479166666}, {"start": 3289.42, "end": 3289.56, "word": " ال", "probability": 0.72802734375}, {"start": 3289.56, "end": 3289.96, "word": " section", "probability": 0.79541015625}, {"start": 3289.96, "end": 3291.14, "word": " وإليكم", "probability": 0.74249267578125}, {"start": 3291.14, "end": 3291.88, "word": " أرقام", "probability": 0.98828125}, {"start": 3291.88, "end": 3293.04, "word": " المسائل", "probability": 0.948974609375}, {"start": 3293.04, "end": 3294.24, "word": " يبقى", "probability": 0.94140625}, {"start": 3294.24, "end": 3295.6, "word": " exercises", "probability": 0.9423828125}, {"start": 3295.6, "end": 3298.5, "word": " اللي", "probability": 0.895263671875}, {"start": 3298.5, "end": 3298.8, "word": " هو", "probability": 0.97705078125}, {"start": 3298.8, "end": 3299.74, "word": " عشرة", "probability": 0.8850911458333334}, {"start": 3299.74, "end": 3302.64, "word": " exercises", "probability": 0.76806640625}, {"start": 3302.64, "end": 3303.48, "word": " عشرة", "probability": 0.95947265625}, {"start": 3303.48, "end": 3305.98, "word": " عشرة", "probability": 0.9435221354166666}, {"start": 3305.98, "end": 3308.64, "word": " سبعة", "probability": 0.74658203125}, {"start": 3308.64, "end": 3310.04, "word": " عشرة", "probability": 0.9733072916666666}, {"start": 3310.04, "end": 3311.04, "word": " سبعة", "probability": 0.9768880208333334}], "temperature": 1.0}, {"id": 137, "seek": 333503, "start": 3311.41, "end": 3335.03, "text": "المسائل يا سيدي من واحد لتمانية واربعين من واحد لتمانية واربعين multiple of three الامتحان واصل حتى نهاية هذا ال section يعني ال section اللي نبدأ بكرا ان شاء الله مش داخل في الامتحان القادم", "tokens": [45340, 3794, 16373, 1211, 35186, 8608, 1829, 16254, 9154, 36764, 24401, 5296, 39237, 7649, 10632, 4032, 9640, 3555, 3615, 9957, 9154, 36764, 24401, 5296, 39237, 7649, 10632, 4032, 9640, 3555, 3615, 9957, 3866, 295, 1045, 2423, 10943, 2655, 5016, 7649, 4032, 33546, 1211, 11331, 49975, 8717, 11296, 10632, 23758, 2423, 3541, 37495, 22653, 2423, 3541, 13672, 1829, 8717, 44510, 10721, 4724, 4117, 23557, 16472, 13412, 16606, 21984, 37893, 11778, 47283, 1211, 8978, 2423, 10943, 2655, 5016, 7649, 25062, 18513, 2304], "avg_logprob": -0.1401427498570195, "compression_ratio": 1.7322404371584699, "no_speech_prob": 0.0, "words": [{"start": 3311.41, "end": 3312.45, "word": "المسائل", "probability": 0.755615234375}, {"start": 3312.45, "end": 3312.65, "word": " يا", "probability": 0.82568359375}, {"start": 3312.65, "end": 3312.97, "word": " سيدي", "probability": 0.8846028645833334}, {"start": 3312.97, "end": 3313.15, "word": " من", "probability": 0.880859375}, {"start": 3313.15, "end": 3313.63, "word": " واحد", "probability": 0.75146484375}, {"start": 3313.63, "end": 3314.37, "word": " لتمانية", "probability": 0.81158447265625}, {"start": 3314.37, "end": 3315.29, "word": " واربعين", "probability": 0.869140625}, {"start": 3315.29, "end": 3316.01, "word": " من", "probability": 0.578125}, {"start": 3316.01, "end": 3316.71, "word": " واحد", "probability": 0.977294921875}, {"start": 3316.71, "end": 3317.95, "word": " لتمانية", "probability": 0.95458984375}, {"start": 3317.95, "end": 3319.27, "word": " واربعين", "probability": 0.984375}, {"start": 3319.27, "end": 3320.35, "word": " multiple", "probability": 0.767578125}, {"start": 3320.35, "end": 3322.13, "word": " of", "probability": 0.97412109375}, {"start": 3322.13, "end": 3322.93, "word": " three", "probability": 0.60205078125}, {"start": 3322.93, "end": 3325.43, "word": " الامتحان", "probability": 0.909375}, {"start": 3325.43, "end": 3325.93, "word": " واصل", "probability": 0.92431640625}, {"start": 3325.93, "end": 3326.31, "word": " حتى", "probability": 0.922119140625}, {"start": 3326.31, "end": 3326.93, "word": " نهاية", "probability": 0.9303385416666666}, {"start": 3326.93, "end": 3327.31, "word": " هذا", "probability": 0.783203125}, {"start": 3327.31, "end": 3327.41, "word": " ال", "probability": 0.4423828125}, {"start": 3327.41, "end": 3327.89, "word": " section", "probability": 0.90087890625}, {"start": 3327.89, "end": 3328.83, "word": " يعني", "probability": 0.87109375}, {"start": 3328.83, "end": 3328.93, "word": " ال", "probability": 0.904296875}, {"start": 3328.93, "end": 3329.29, "word": " section", "probability": 0.87451171875}, {"start": 3329.29, "end": 3329.47, "word": " اللي", "probability": 0.842529296875}, {"start": 3329.47, "end": 3330.01, "word": " نبدأ", "probability": 0.85400390625}, {"start": 3330.01, "end": 3330.57, "word": " بكرا", "probability": 0.8253580729166666}, {"start": 3330.57, "end": 3330.79, "word": " ان", "probability": 0.7138671875}, {"start": 3330.79, "end": 3331.13, "word": " شاء", "probability": 0.990234375}, {"start": 3331.13, "end": 3331.39, "word": " الله", "probability": 0.96240234375}, {"start": 3331.39, "end": 3331.77, "word": " مش", "probability": 0.955078125}, {"start": 3331.77, "end": 3332.21, "word": " داخل", "probability": 0.9762369791666666}, {"start": 3332.21, "end": 3332.33, "word": " في", "probability": 0.8837890625}, {"start": 3332.33, "end": 3333.23, "word": " الامتحان", "probability": 0.98310546875}, {"start": 3333.23, "end": 3335.03, "word": " القادم", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 138, "seek": 334467, "start": 3335.49, "end": 3344.67, "text": "يعني ابتداء من section تمانية تلاتة وحتى نهاية section عشرة سبعة ان شاء الله تعالى", "tokens": [40228, 22653, 48127, 2655, 3215, 16606, 9154, 3541, 46811, 7649, 10632, 6055, 1211, 9307, 3660, 4032, 33753, 7578, 8717, 11296, 10632, 3541, 6225, 8592, 25720, 8608, 3555, 27884, 16472, 13412, 16606, 21984, 37279, 6027, 7578], "avg_logprob": -0.2554253405994839, "compression_ratio": 1.2952380952380953, "no_speech_prob": 0.0, "words": [{"start": 3335.49, "end": 3335.83, "word": "يعني", "probability": 0.5323486328125}, {"start": 3335.83, "end": 3336.51, "word": " ابتداء", "probability": 0.65631103515625}, {"start": 3336.51, "end": 3336.73, "word": " من", "probability": 0.9541015625}, {"start": 3336.73, "end": 3337.15, "word": " section", "probability": 0.351318359375}, {"start": 3337.15, "end": 3338.03, "word": " تمانية", "probability": 0.817138671875}, {"start": 3338.03, "end": 3338.85, "word": " تلاتة", "probability": 0.911376953125}, {"start": 3338.85, "end": 3339.83, "word": " وحتى", "probability": 0.9202473958333334}, {"start": 3339.83, "end": 3340.35, "word": " نهاية", "probability": 0.9650065104166666}, {"start": 3340.35, "end": 3341.01, "word": " section", "probability": 0.50390625}, {"start": 3341.01, "end": 3341.95, "word": " عشرة", "probability": 0.8248697916666666}, {"start": 3341.95, "end": 3342.55, "word": " سبعة", "probability": 0.9404296875}, {"start": 3342.55, "end": 3342.87, "word": " ان", "probability": 0.58837890625}, {"start": 3342.87, "end": 3343.31, "word": " شاء", "probability": 0.964599609375}, {"start": 3343.31, "end": 3343.79, "word": " الله", "probability": 0.94091796875}, {"start": 3343.79, "end": 3344.67, "word": " تعالى", "probability": 0.9734700520833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3345.13625, "duration_after_vad": 3173.09971874999}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4VcdhcmE1dg.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4VcdhcmE1dg.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e8e924d0a538bb16960da71c7543bc39b7907504
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4VcdhcmE1dg.srt
@@ -0,0 +1,1949 @@
+1
+00:00:09,400 --> 00:00:14,820
+بسم الله الرحمن الرحيم نكمل ما بدأناه في المرة 
+
+2
+00:00:14,820 --> 00:00:18,360
+الماضية وهو موضوع ال comparison test و limit 
+
+3
+00:00:18,360 --> 00:00:23,060
+comparison test احنا المرة اللي فاتت خدنا فقط اللي 
+
+4
+00:00:23,060 --> 00:00:28,180
+هو ال comparison test تمام اختبار المقارنة وقلنا 
+
+5
+00:00:28,180 --> 00:00:34,320
+بنقارن ما بين حدين نونيين ل two series تمام؟ في 
+
+6
+00:00:34,320 --> 00:00:39,000
+طبعا حد نوني أكبر أو أقل من الحد النوني الثاني 
+
+7
+00:00:39,000 --> 00:00:43,380
+واحد أكبر من الثاني يبقى الثاني بيكون أصغر 
+
+8
+00:00:43,380 --> 00:00:51,950
+فبأجي بقول لو كان ال a n أقل من ال c n وكان اللي هو 
+
+9
+00:00:51,950 --> 00:00:56,330
+ال cn اللي هو الكبير converged يبقى summation على 
+
+10
+00:00:56,330 --> 00:01:04,150
+an بيكون converged طبعا لو كان ال dn أقل من أو 
+
+11
+00:01:04,150 --> 00:01:09,770
+يساوي ال an وكان ال dn ضيفج summation عليها ال 
+
+12
+00:01:09,770 --> 00:01:13,770
+series هذه يبقى اللي أكبر منها divergence من الباب 
+
+13
+00:01:13,770 --> 00:01:18,330
+الأولى وهي summation على CNN وهذا سميناه المرة 
+
+14
+00:01:18,330 --> 00:01:24,670
+الماضية اختبار المقارنة واخدنا على ذلك مجموعة من 
+
+15
+00:01:24,670 --> 00:01:31,770
+الأمثلة أعتقد ستة أمثلة وهذا هو المثال السابع طيب 
+
+16
+00:01:31,770 --> 00:01:34,930
+طبعا هو بيعطيني two series هو بيعطيني ال series 
+
+17
+00:01:34,930 --> 00:01:40,890
+واحدة فقط لا غير وأنت بدك تخلق series أخرى من ال 
+
+18
+00:01:40,890 --> 00:01:44,770
+series اللي موجودة عندك بهذه ال series المخلقة 
+
+19
+00:01:44,770 --> 00:01:50,310
+تكون أنت عارفها هل هي converged أو diver فلو جينا 
+
+20
+00:01:50,310 --> 00:01:54,710
+لل series اللي عندنا هذه مين أقرب series على هذه 
+
+21
+00:01:54,710 --> 00:01:59,840
+ال series ممكن أقارن معاها بواحد على n تربيع يبقى 
+
+22
+00:01:59,840 --> 00:02:05,220
+أنا عندي summation 1 على N تربيع من N equal one to 
+
+23
+00:02:05,220 --> 00:02:13,340
+infinity هدى converge ب سيرز السبب because 
+
+24
+00:02:16,130 --> 00:02:22,450
+أن P يساوي 2 أكبر من الواحد الصحيح طيب بدأت آخذ 
+
+25
+00:02:22,450 --> 00:02:29,750
+الآن اللي هو tan ال N على N تربيع بدأت أشوف شو 
+
+26
+00:02:29,750 --> 00:02:37,610
+علاقتها بواحد على N تربيع tan X أكبر قيمة ممكن 
+
+27
+00:02:37,610 --> 00:02:42,490
+تأخذها لما X تكبر أو ال N تكبر و تروح لما لنهاية 
+
+28
+00:02:42,490 --> 00:02:49,550
+وتجدها إذاً دائماً و أبداً أقل من مين؟ أقل من الواحد 
+
+29
+00:02:49,550 --> 00:02:55,570
+على ان تربيع، مادام أقل من الواحد على ان تربيع 
+
+30
+00:02:55,570 --> 00:02:59,670
+يبقى بناء عليه الواحد على ان تربيع، قلنا أنها 
+
+31
+00:02:59,670 --> 00:03:05,220
+converge series يبقى اللي أقل منها بتبقى converge 
+
+32
+00:03:05,220 --> 00:03:13,220
+بروح بقول له by the comparison test the series 
+
+33
+00:03:13,220 --> 00:03:20,380
+summation اللي هو اللي tanشر N على ان تربيعها 
+
+34
+00:03:20,380 --> 00:03:28,920
+converge وانتهينا من المثال السؤال الثامن 
+
+35
+00:03:28,920 --> 00:03:37,920
+بيقول لي summation من N equal one to infinity لل N 
+
+36
+00:03:37,920 --> 00:03:46,000
+زائد اثنين أس N على N تربيع في اثنين أس N 
+
+37
+00:03:51,780 --> 00:03:56,340
+بنروح نأخذ الحد النوني في هذه ال series يبدأ الحد 
+
+38
+00:03:56,340 --> 00:04:02,080
+النوني في هذه ال series اللي هو مين N زائد 2 أس N 
+
+39
+00:04:02,080 --> 00:04:10,360
+على N تربيع في ال 2 أس N السؤال هو مين اللي أكبر 
+
+40
+00:04:10,360 --> 00:04:19,320
+ال N ولا 2 أس N إن أكبر من اثنين أس إن؟ لما ال N 
+
+41
+00:04:19,320 --> 00:04:24,000
+بيبقى تروح للمالا نهاية، لأن اثنين أس N هي الأكبر 
+
+42
+00:04:24,000 --> 00:04:27,980
+دائماً و أقلها، حط N بواحد، بيصير هذه واحدة وهذه 
+
+43
+00:04:27,980 --> 00:04:32,770
+اثنين حط اثنين بصير اثنين و اثنين تربيع، حط 
+
+44
+00:04:32,770 --> 00:04:36,710
+ثلاثة بصير ثلاثة و اثنين تكعيب، حط أربعة بصير 
+
+45
+00:04:36,710 --> 00:04:40,290
+اثنين و اثنين أس أربعة، يبقى فرق شاسع ما بين 
+
+46
+00:04:40,290 --> 00:04:44,130
+الاثنين، يبقى إذا اللي .. بدي أعتبرها دي مش 
+
+47
+00:04:44,130 --> 00:04:48,830
+موجودة، بضل كده، لأن ال N هي اللي بتتحكم في البسط 
+
+48
+00:04:49,130 --> 00:04:59,250
+أظن ممكن نختصرها أن اتبعت المقام بضل جديد أقل 
+
+49
+00:04:59,250 --> 00:05:07,890
+من يبقى هذه أقل من وهذا الكسر وهذه N تربيع وهذه 
+
+50
+00:05:07,890 --> 00:05:15,150
+اثنين أس N يبقى هذي للبسط يبقى بدنا نشيل ال N ونكتب 
+
+51
+00:05:15,150 --> 00:05:25,150
+بس اثنين أس N صحيح غلطة البسط أكبر تمام البسط أكبر من 
+
+52
+00:05:25,150 --> 00:05:30,010
+البسط اللي عندنا هذا بسيطة مشان أجمع الاثنين مع 
+
+53
+00:05:30,010 --> 00:05:35,210
+بعض لازم أكتب هذه بدلالة هذه إذا أنا لو جيت قلت 
+
+54
+00:05:35,210 --> 00:05:42,340
+اثنين قص N كمان من فعله منفعش من فعليه المين هذه 
+
+55
+00:05:42,340 --> 00:05:46,540
+أقل من هذه ليش المقام هو نفسه اثنين واس N هي 
+
+56
+00:05:46,540 --> 00:05:52,120
+اثنين واس N ال N أقل من اثنين واس N يبقى المقام 
+
+57
+00:05:52,120 --> 00:05:57,880
+الأول أقل من المقام الثاني طب ليش عملت هيك؟ عملت 
+
+58
+00:05:57,880 --> 00:06:02,860
+هيك مشان أقدر أجمع الاثنين مع بعض و يتم عملية 
+
+59
+00:06:02,860 --> 00:06:08,660
+الاختصارات فبأجي بقول هذا بدي أساوي اثنين ضرب اثنين 
+
+60
+00:06:08,660 --> 00:06:15,300
+أس N على N تربيع في اثنين أس N يبقى الجواب اثنين 
+
+61
+00:06:15,300 --> 00:06:20,100
+على N تربيع بقول له بطولك 
+
+62
+00:06:32,400 --> 00:06:33,800
+السبب 
+
+63
+00:06:37,350 --> 00:06:44,930
+أن P يساوي 2 أكبر من 1 الصحيح بروح بقول هنا by the 
+
+64
+00:06:44,930 --> 00:06:53,490
+comparison test the series الهي summation لمن لل N 
+
+65
+00:06:53,490 --> 00:07:01,090
+زائد 2 أس N على N تربيع زائد 2 أس N converge 
+
+66
+00:07:03,440 --> 00:07:07,520
+طيب اجى واحد ثاني قال أنا بفكر في المسألة بطريقة 
+
+67
+00:07:07,520 --> 00:07:14,980
+أخرى بقول له كيف طبعا حل آخر يبقى another solution 
+
+68
+00:07:14,980 --> 00:07:18,100
+اجى 
+
+69
+00:07:18,100 --> 00:07:22,560
+قال لي أنا ما بديش أشتغل هيك بقول له كيف قال لي هذا 
+
+70
+00:07:22,560 --> 00:07:30,520
+عندنا اللي هو مين ال N زائد اثنين أس N على N 
+
+71
+00:07:30,520 --> 00:07:35,860
+تربيع في اثنين أس N قلنا له أيوة جالي بدي أوزع ال 
+
+72
+00:07:35,860 --> 00:07:41,970
+بسط علي المقام وهذا هي summation اللي عندنا يبقى 
+
+73
+00:07:41,970 --> 00:07:51,090
+هذا summation لل N على N تربيع في 2 أس N زائد 2 أس 
+
+74
+00:07:51,090 --> 00:07:58,070
+N على N تربيع في 2 أس N قلنا لهم ما فيش مشكلة قال له 
+
+75
+00:07:58,070 --> 00:08:03,650
+هذه كمان summation اختصر بيصير واحد على N في 
+
+76
+00:08:03,650 --> 00:08:10,910
+الاثنين أس N وهذه واحد على N تربيع قلنا له تمام 
+
+77
+00:08:10,910 --> 00:08:16,230
+تمام ممكن يدخل ال summation على الاثنين وبالتالي 
+
+78
+00:08:16,230 --> 00:08:20,790
+هذه بيصير summation ثاني بهذا الشكل أظن هذه 
+
+79
+00:08:20,790 --> 00:08:25,900
+convergence دغري ما فيها مشكلة مشكلة تبعناها مع هذه 
+
+80
+00:08:25,900 --> 00:08:35,320
+بقول له هذه أقل من summation ل 1 على 2 أس N زائد 
+
+81
+00:08:35,320 --> 00:08:42,740
+summation زائد summation ل 1 على N تربيع، مظبوط 
+
+82
+00:08:42,740 --> 00:08:49,700
+ولا لا؟ هذه أقل من هذه، صحيح ولا لا؟ مالك و خنش 
+
+83
+00:08:49,700 --> 00:08:53,960
+يعني شيلت N من المقام يبقى أقل منها لأن هذه مقامها 
+
+84
+00:08:53,960 --> 00:09:01,080
+أكبر طيب هذه هاها اللي تساوي مين؟ summation لنصف أس 
+
+85
+00:09:01,080 --> 00:09:06,560
+N زي summation لواحد على N تربيع أظن هذه convert 
+
+86
+00:09:06,560 --> 00:09:13,360
+geometric صح؟ يبقى هذه convert geometric series 
+
+87
+00:09:13,650 --> 00:09:19,750
+وهذه convergence P series وهذه convergence P 
+
+88
+00:09:19,750 --> 00:09:25,030
+series مجموع ال two convergence series is 
+
+89
+00:09:25,030 --> 00:09:30,770
+convergent يبقى ال series اللي أقل منها اللي الأصل 
+
+90
+00:09:30,770 --> 00:09:37,580
+ياشي بتكون convergent يبقى هدول طريقين للحل 
+
+91
+00:09:37,580 --> 00:09:41,020
+بالطريقة اللي تشوفها مناسبة بالنسبة لك طبعاً 
+
+92
+00:09:41,020 --> 00:09:46,760
+الطريقة الأولى أسرع كثير من الطريقة الثانية وأبسط 
+
+93
+00:09:46,760 --> 00:09:53,340
+منها هذا كان السؤال الثامن السؤال التاسع بيقول ال 
+
+94
+00:09:53,340 --> 00:10:00,060
+summation من n equal one to infinity لإثنين to the 
+
+95
+00:10:00,060 --> 00:10:06,460
+power n ثلاثة to the power n ثلاثة to the power n 
+
+96
+00:10:06,460 --> 00:10:12,940
+زائد أربعة to the power n بقول لك كويس، بدنا نأخذ 
+
+97
+00:10:12,940 --> 00:10:19,320
+الحد النوني اثنين أس N زائد ثلاثة أس N ثلاثة أس N 
+
+98
+00:10:19,320 --> 00:10:26,660
+زائد أربعة أس N طبعا اثنين أس N أصغر من مين من 
+
+99
+00:10:26,660 --> 00:10:29,980
+ثلاثة أس N يبقى اللي بده يتحكم في الموضوع مين 
+
+100
+00:10:29,980 --> 00:10:34,840
+ثلاثة أس N هنا أربعة أس N أكبر من ثلاثة أس N 
+
+101
+00:10:34,840 --> 00:10:39,000
+يبقى اللي بده يتحكم في الموضوع مين يبقى بدي أشيل 
+
+102
+00:10:39,000 --> 00:10:43,220
+الثلاثة وأشيل اثنين مضال ثلاثة أس N على أربعة أس 
+
+103
+00:10:43,220 --> 00:10:51,180
+N يعني ثلاثة أرباع كل أس N geometric convert يبقى 
+
+104
+00:10:51,180 --> 00:10:56,900
+بده يمشي أجل منطبعاً يبقى بقى آجي بقول له هذه أقل 
+
+105
+00:10:56,900 --> 00:11:02,980
+منه وهذا إشارة الكسر، لا مش مظبوط غلط، هذا البسط 
+
+106
+00:11:02,980 --> 00:11:07,740
+طبعاً المقام دي نخليه زي ما هو، أي ثلاثة أس N زي 
+
+107
+00:11:07,740 --> 00:11:14,210
+أربعة أس N، مظبوط ذلك؟ مش مظبوط بسيطة يبقى لو كتبتها 
+
+108
+00:11:14,210 --> 00:11:20,850
+ثلاثة أس N بصير فعلاً اثنين أس N أقل من ثلاثة أس N 
+
+109
+00:11:20,850 --> 00:11:25,530
+لكل ال N من عند الواحد لغاية ما لنهاية و ده كلام 
+
+110
+00:11:25,530 --> 00:11:34,350
+صحيح يعني هذه تساوي اثنين في ثلاثة أس N على ثلاثة 
+
+111
+00:11:34,350 --> 00:11:45,040
+أس N زائد أربعة أس N هذه تساوي اثنين من 
+
+112
+00:11:45,040 --> 00:11:55,330
+اثنين في ثلاثة أُس N على أربعة أُس N يعني شيلت من؟ 
+
+113
+00:11:55,330 --> 00:11:58,970
+شيلت الثلاثة و الثمانية اللي موجودة في المقام هذي. 
+
+114
+00:11:58,970 --> 00:12:05,110
+تمام؟ هذي مين؟ هذي اثنين في ثلاثة أرباع كلوس قداش. 
+
+115
+00:12:05,830 --> 00:12:09,990
+And مين هذي ال series؟ Geometric، convergent ولا 
+
+116
+00:12:09,990 --> 00:12:14,840
+divergent؟ convert إذا اللي أقل منها بتكون مالها 
+
+117
+00:12:14,840 --> 00:12:24,020
+convert بقول له بطولك summation للإثنين ثلاثة أرباع 
+
+118
+00:12:24,020 --> 00:12:31,420
+أس N من N equal one to infinity converge geometric 
+
+119
+00:12:31,420 --> 00:12:35,660
+series السبب because 
+
+120
+00:12:41,840 --> 00:12:47,620
+الأساس تبع ال series يساوي ثلاثة أرباع والثلاثة أرباع 
+
+121
+00:12:47,620 --> 00:12:54,660
+أقل من الواحد الصحيح بروح بقول له by the comparisons 
+
+122
+00:12:54,660 --> 00:13:03,350
+of the series اللي هي اللي أقل منها summation من n 
+
+123
+00:13:03,350 --> 00:13:09,450
+equal one to infinity للاتنين أس N زائد ثلاثة أس N 
+
+124
+00:13:09,450 --> 00:13:16,590
+وهنا أربعة أس N converge وانتهينا من المسألة 
+
+125
+00:13:29,950 --> 00:13:36,310
+سؤال العاشر summation 
+
+126
+00:13:36,310 --> 00:13:44,950
+من n تساوي واحد إلى ما لا نهاية لل n  factorial ال
+
+127
+00:13:44,950 --> 00:13:52,570
+الجذر التربيعي لل n على n زائد اثنين اللي هو 
+
+128
+00:13:52,570 --> 00:13:53,270
+factorial
+
+129
+00:14:04,900 --> 00:14:09,100
+ليس بالضرورة أني أبحث convergence و divergence
+
+130
+00:14:09,100 --> 00:14:14,580
+مباشرة، إذا حابب تحط المسألة في شكل جديد، أتوقع
+
+131
+00:14:14,580 --> 00:14:21,520
+والله، مش حابب، خلاص درب هنا الأقل من والأكبر من،
+
+132
+00:14:21,520 --> 00:14:27,680
+تمام؟  أه تختصر n زائد اثنين، n زائد اثنين، و n
+
+133
+00:14:27,680 --> 00:14:34,480
+آخر n اثنين 100% يعني قصد زميلكم نحط المسألة في شكل
+
+134
+00:14:34,480 --> 00:14:38,200
+جديد قبل أن نبحث ال convergence و ال divergence
+
+135
+00:14:38,200 --> 00:14:42,840
+لهذه ال series بقول يعني إيه؟ يعني هذه هي
+
+136
+00:14:42,840 --> 00:14:48,730
+summation من n تساوي واحد إلى ما لا نهاية هذا ال
+
+137
+00:14:48,730 --> 00:14:53,330
+factorial
+
+138
+00:14:53,330 --> 00:15:01,110
+نفكّه n زائد 2 في n زائد 1 في n factorial
+
+139
+00:15:04,890 --> 00:15:09,870
+هذا الكلام يساوي ال summation من n تساوي واحد إلى
+
+140
+00:15:09,870 --> 00:15:13,590
+ما لا نهاية لل square root لل n على
+
+141
+00:15:19,480 --> 00:15:26,400
+يبقى هنا باجي بقول n زائد اثنين في ال n زائد واحد
+
+142
+00:15:26,400 --> 00:15:32,960
+إذا صارت المسألة في شكل جديد سهل الآن أتحكم فيه و
+
+143
+00:15:32,960 --> 00:15:37,880
+أعرف إيه هو converge أو bye bye طبعًا ال bus جاهز
+
+144
+00:15:37,880 --> 00:15:42,780
+جذر التربيعي ل n المقام بدي أشيل الواحد و اثنين 
+
+145
+00:15:42,780 --> 00:15:48,900
+بيصير n في n جداشيل n تربيع و فوق نقص نص
+
+146
+00:15:56,550 --> 00:16:03,330
+يا رجل يا رجل يا رجل كم مرة نكتب ال n أكبر من 
+
+147
+00:16:03,330 --> 00:16:08,060
+الواحد الصحيح بتبقى converge؟ يبقى تستعجلش تاني مرة
+
+148
+00:16:08,060 --> 00:16:12,300
+يبقى بناء عليه تبقى ال series converge إذا
+
+149
+00:16:12,300 --> 00:16:17,980
+عند المقارنة بدي أمشي أقل من إذا باجي بقوله صار
+
+150
+00:16:17,980 --> 00:16:26,600
+عندي جذر ال n على n زائد اثنين n زائد واحد أقل من
+
+151
+00:16:26,600 --> 00:16:35,540
+جذر ال n على n في n طب اللي فوق أس نص يبقى بنختصر
+
+152
+00:16:35,540 --> 00:16:44,320
+بيضل على n أس ثلاثة على اثنين بقوله بطولكم صميشي
+
+153
+00:16:44,320 --> 00:16:49,340
+لواحد على n أس ثلاثة على اثنين من n تساوي واحد إلى
+
+154
+00:16:49,340 --> 00:16:59,300
+ما لا نهاية converge P series السبب بسبب أن p يساوي
+
+155
+00:16:59,300 --> 00:17:05,620
+ثلاثة على اثنين أكثر من واحد بروح بقوله by the
+
+156
+00:17:05,620 --> 00:17:15,040
+comparison test ال series الأصلية لصميم من n تساوي
+
+157
+00:17:15,040 --> 00:17:16,500
+واحد إلى ما لا نهاية
+
+158
+00:17:29,670 --> 00:17:39,040
+السؤال الحادي عشر بيقول لي summation من n تساوي واحد
+
+159
+00:17:39,040 --> 00:17:46,120
+إلى ما لا نهاية لواحد على n factorial بدي أشوف هذا
+
+160
+00:17:46,120 --> 00:17:50,860
+السؤال هل ال series اللي عندنا هذه converge والله
+
+161
+00:17:50,860 --> 00:17:55,490
+diverge والله والله ما إحنا عارفين يعني مش عارفين كيف
+
+162
+00:17:55,490 --> 00:17:59,950
+نعمل فيها نقارن مع مين يعني تمام؟ لأن ال n
+
+163
+00:17:59,950 --> 00:18:04,610
+factorial لو بده فرق بده يصير n من ال terms لكن
+
+164
+00:18:04,610 --> 00:18:09,490
+خلّينا نتعرف على شكل ال series في الأول و بناء على
+
+165
+00:18:09,490 --> 00:18:14,950
+الروح نحكم ونشوف كيف فلو جيت هنا بتتعرف على شكل
+
+166
+00:18:14,950 --> 00:18:19,230
+ال series الحد الأول بواحد على واحد factorial اللي
+
+167
+00:18:19,230 --> 00:18:25,670
+هو بواحد الثاني واحد على اثنين factorial الثالث
+
+168
+00:18:25,670 --> 00:18:31,610
+واحد على ثلاثة factorial واحد على أربعة factorial
+
+169
+00:18:31,610 --> 00:18:41,090
+زائد واحد على n factorial زائد إلى ما شاء الله ممكن
+
+170
+00:18:41,090 --> 00:18:46,550
+أتعرف على شكلها أكثر من ذلك لو فكيت ال factorial في
+
+171
+00:18:46,550 --> 00:18:52,250
+كل المقامات للحدود اللي موجودة عندنا كيف باجي بقول
+
+172
+00:18:52,250 --> 00:18:58,230
+هذا الكلام يساوي واحد زائد واحد على اثنين في واحد زائد
+
+173
+00:18:58,230 --> 00:19:04,510
+واحد على ثلاثة في اثنين في واحد زائد واحد على أربعة
+
+174
+00:19:04,510 --> 00:19:12,610
+في ثلاثة في اثنين في واحد زائد زائد واحد على n فان
+
+175
+00:19:12,610 --> 00:19:18,210
+ناقص واحد في ثلاثة في اثنين في واحد زائد إلى ما 
+
+176
+00:19:18,210 --> 00:19:26,040
+شاء الله طب كويس إذا أنا حطيت ال series في الشكل
+
+177
+00:19:26,040 --> 00:19:31,480
+الجديد اللي عندنا هذا وبدأجي الآن أفحص ال series
+
+178
+00:19:31,480 --> 00:19:35,720
+اللي عندنا هذا أو الشكل الجديد هل ممكن يكون
+
+179
+00:19:35,720 --> 00:19:42,580
+convergence series والله divergence series تمام؟
+
+180
+00:19:42,580 --> 00:19:49,010
+باجي أطلع في المثلة ابتبعتي واحد زائد نصف زائد سدس
+
+181
+00:19:49,010 --> 00:19:53,170
+زائد واحد على أربع وعشرين زائد زائد وماشاء الله
+
+182
+00:19:53,170 --> 00:20:00,430
+عليها ماشية كويس طيب الملاحظ أن كل حد بيقل عن الحد
+
+183
+00:20:00,430 --> 00:20:07,050
+اللي جابله واحد مثل سدس واحد على أربع وعشرين يعني
+
+184
+00:20:07,050 --> 00:20:14,270
+رايح لوين يعني في احتمال تكون فيه احتمال مظبوط طيب
+
+185
+00:20:14,270 --> 00:20:18,850
+بلاش مش متأكدين هل هي conversion ولا diverg تعال شوف
+
+186
+00:20:18,850 --> 00:20:24,130
+لها الرأي هذا إيش رأيك فيه لو جيت قلت هذا واحد
+
+187
+00:20:24,130 --> 00:20:32,210
+زائد نصف زائد واحد على اثنين في اثنين زائد واحد على
+
+188
+00:20:32,210 --> 00:20:38,630
+اثنين في اثنين في اثنين زائد واحد على اثنين في
+
+189
+00:20:38,630 --> 00:20:44,330
+اثنين في اثنين في اثنين زائد إلى ما شاء الله
+
+190
+00:20:47,650 --> 00:20:54,450
+يبقى أنا عندي series بالشكل هذا كتبت series ثانية،
+
+191
+00:20:54,450 --> 00:20:58,350
+بدي أبحث ما هي العلاقة ما بين ال two series
+
+192
+00:20:58,350 --> 00:21:02,990
+الاثنين اللي عندي، ال term الأول هو ال term الأول،
+
+193
+00:21:02,990 --> 00:21:07,330
+ال term الثاني هو ال term الثاني، ال term الثالث
+
+194
+00:21:07,330 --> 00:21:14,750
+أقل من ال term الثالث الرابع أقل من الرابع واحد على
+
+195
+00:21:14,750 --> 00:21:21,010
+ربع وعشرين أقل من تمون ست أقل من الرابع نصف يساوي
+
+196
+00:21:21,010 --> 00:21:24,130
+نصف واحد يساوي واحد يبقى ال series الأولى شو علاقة
+
+197
+00:21:24,130 --> 00:21:29,450
+بال series الثانية أقل منها ممتاز يبقى بدل اللي
+
+198
+00:21:29,450 --> 00:21:33,410
+يساوي بدي يصير عندي أقل بالشكل اللي عندنا هذا
+
+199
+00:21:33,410 --> 00:21:39,390
+تمام؟ إذا أصبحت ال series الأصلية summation واحد
+
+200
+00:21:39,390 --> 00:21:45,010
+على n factorial من n تساوي واحد إلى ما لا نهاية هذا
+
+201
+00:21:45,010 --> 00:21:51,750
+الأصلية أقل منه أطلع
+
+202
+00:21:51,750 --> 00:21:58,230
+لي هنا الحد الأول واحد الحد الثاني واحد على اثنين
+
+203
+00:21:58,230 --> 00:22:04,350
+أقصى واحد الحد الثالث واحد على اثنين تربيع الحد
+
+204
+00:22:04,350 --> 00:22:11,520
+الرابع واحد على اثنين تكعيب يبقى قيمة الحد الأس تبقى
+
+205
+00:22:11,520 --> 00:22:16,840
+أقل من الرتبة بمقدار واحد، ممتاز جدًا يعني بقدر
+
+206
+00:22:16,840 --> 00:22:23,320
+أقول هذه ال summation لواحد على اثنين أس n ناقص
+
+207
+00:22:23,320 --> 00:22:30,200
+واحد من n تساوي واحد إلى ما لا نهاية خلّيني أتأكد أشوف
+
+208
+00:22:30,200 --> 00:22:33,620
+هل الكلام اللي كتبته صحيح هذا والله ما هوش صحيح
+
+209
+00:22:33,620 --> 00:22:38,680
+بحط لأنّي بواحد بيصير اثنين أقصى zero واحد على واحد
+
+210
+00:22:38,680 --> 00:22:42,860
+واحد هي مظبوطة بعد واحد بيجيني اثنين اثنين نقص
+
+211
+00:22:42,860 --> 00:22:48,980
+واحد بواحد يبقى نصف الحمد لله تمام ثلاثة نقص واحد
+
+212
+00:22:48,980 --> 00:22:53,020
+ب اثنين اثنين طرح اثنين في اثنين أربعة واحد على
+
+213
+00:22:53,020 --> 00:22:59,530
+اثنين تكعيب مية لمية طيب إيه الشغلة كانت ال series
+
+214
+00:22:59,530 --> 00:23:02,930
+هذه بقدر أخليها تبدأ من عند الصفر بدل من عند
+
+215
+00:23:02,930 --> 00:23:07,870
+الواحد بيغيروا ال index واخذنا حاجة اسمها re
+
+216
+00:23:07,870 --> 00:23:13,250
+indexing في section عشر اثنين يعني لو شلت كل n 
+
+217
+00:23:13,250 --> 00:23:19,770
+حطيت مكانها n زائد واحد بيصير هذه ال summation من n
+
+218
+00:23:19,770 --> 00:23:24,990
+تساوي صفر إلى ما لا نهاية لواحد على اثنين أس n
+
+219
+00:23:29,830 --> 00:23:36,570
+أو الشكل العام summation من n تساوي صفر إلى ما لا نهاية
+
+220
+00:23:36,570 --> 00:23:42,830
+لنصف to the power n شو رايح في ال series هذه؟
+
+221
+00:23:42,830 --> 00:23:47,790
+converge Geometric يتجلي أقل منها بال comparison
+
+222
+00:23:47,790 --> 00:23:54,570
+test يبقى converge بقول هنا بطولكم summation
+
+223
+00:23:54,570 --> 00:23:59,510
+للنصف of the power n من n تساوي صفر إلى ما لا نهاية
+
+224
+00:23:59,510 --> 00:24:11,240
+converge جيومتريك series السبب أن absolute value ل r
+
+225
+00:24:11,240 --> 00:24:18,260
+يساوي نصف أقل من الواحد الصحيح بقول هنا by the
+
+226
+00:24:18,260 --> 00:24:25,080
+comparison test السيريز الأصلية اللي عندنا
+
+227
+00:24:25,080 --> 00:24:30,700
+summation ل 1 على n factorial من n تساوي واحد إلى
+
+228
+00:24:30,700 --> 00:24:41,020
+ما لا نهاية converge من اللي بدأ يسأل إيه؟ بتساوي؟
+
+229
+00:24:41,020 --> 00:24:48,380
+لا هي يا رجل، فيه احتمال أنه متساوية؟ series هذه مش
+
+230
+00:24:48,380 --> 00:24:53,400
+عندي حد هنا series to infinite يبقى احتمال المساواة
+
+231
+00:24:53,400 --> 00:25:00,700
+غير وارد بتاتا طبعًا طيب الآن لحد هنا stop انتهينا
+
+232
+00:25:00,700 --> 00:25:04,300
+من النصف الأول من هذا ال section وهو ال comparison
+
+233
+00:25:04,300 --> 00:25:08,640
+test بدنا نيجي للنصف الثاني اللي هو limit
+
+234
+00:25:08,640 --> 00:25:10,360
+comparison test
+
+235
+00:25:21,200 --> 00:25:25,880
+يبقى الاختبار الثاني نمرة اثنين اللي هو ال limit
+
+236
+00:25:25,880 --> 00:25:31,380
+comparison test
+
+237
+00:25:36,770 --> 00:25:41,190
+إحنا قلنا هذا ال section فيه اختبارين المرة اللي
+
+238
+00:25:41,190 --> 00:25:45,810
+فاتت أخذنا نصف لاختبار الأول حلّينا شوية أمثلة عليه
+
+239
+00:25:45,810 --> 00:25:51,930
+كملنا اليوم بأقل أمثلة الأقل بنروح للاختبار الثاني
+
+240
+00:25:51,930 --> 00:25:56,410
+اللي هو ال limit comparison test بنص على ما يأتي
+
+241
+00:25:56,410 --> 00:26:06,530
+suppose that افترض أن ال a n greater than zero
+
+242
+00:26:06,530 --> 00:26:16,770
+and ال b n greater than zero for all n greater
+
+243
+00:26:16,770 --> 00:26:23,510
+than or equal to n capital و ال n هذا is an
+
+244
+00:26:23,510 --> 00:26:28,710
+integer نمرحل
+
+245
+00:26:28,710 --> 00:26:38,810
+بيقول ليه؟ ال limit لما ال n tends to infinity لل
+
+246
+00:26:38,810 --> 00:26:46,150
+a n على b n يساوي constant c with c greater than
+
+247
+00:26:46,150 --> 00:26:54,990
+zero then summation على a n and summation على b n
+
+248
+00:26:54,990 --> 00:26:58,870
+either
+
+249
+00:26:58,870 --> 00:27:24,590
+both converge or both diverge
+
+250
+00:27:24,590 --> 00:27:32,220
+النقطة الثانية من هذا الاختبار نمرة اثنين  الـ 
+
+251
+00:27:32,220 --> 00:27:37,880
+limit لما الـ n tends to infinity للـ a n على b n
+
+252
+00:27:37,880 --> 00:27:47,020
+يساوي zero و الـ summation على b n converge then
+
+253
+00:27:47,020 --> 00:27:55,380
+summation على a n converge كذلك النقطة الثالثة
+
+254
+00:27:55,380 --> 00:28:02,880
+والأخيرة if limit لما الـ N tends to infinity للـ A
+
+255
+00:28:02,880 --> 00:28:09,700
+N على B N يساوي infinity و summation على B N
+
+256
+00:28:09,700 --> 00:28:16,800
+diverge then summation على A N diverge كذلك
+
+257
+00:28:16,800 --> 00:28:23,460
+examples test
+
+258
+00:28:24,830 --> 00:28:31,210
+the convergence of
+
+259
+00:28:31,210 --> 00:28:37,330
+the following series
+
+260
+00:28:37,330 --> 00:28:44,550
+السؤال
+
+261
+00:28:44,550 --> 00:28:49,610
+الأول نمرة واحد summation
+
+262
+00:28:51,070 --> 00:28:59,010
+من n equal one to infinity لواحد على n الجذر النوني لـ N تكعيب
+
+263
+00:28:59,010 --> 00:29:04,090
+النوني لمن؟ لـ N تكعيب كيف
+
+264
+00:29:13,990 --> 00:29:18,010
+طبعا أنا خدنا الـ limit comparison test في حالة الـ
+
+265
+00:29:18,010 --> 00:29:22,930
+improper integrals مظبوط وكانت هنا بس النقطة
+
+266
+00:29:22,930 --> 00:29:26,590
+الأولى لكن في الـ series عملنا limit comparison
+
+267
+00:29:26,590 --> 00:29:34,790
+test على شكل ثلاث نقاط نرجع للنص سبعه ونحاول نناقش
+
+268
+00:29:34,790 --> 00:29:40,630
+نقاط الثلاث وخليك صحي معايا كويس لحظة عندما أخذنا
+
+269
+00:29:40,630 --> 00:29:43,970
+الانستير ما دورناش الحدود positive ولا negative،
+
+270
+00:29:43,970 --> 00:29:46,690
+لكن عندما جينا للـ test integral، قالنا الحدود
+
+271
+00:29:46,690 --> 00:29:50,390
+موجبة. عندما جينا للـ test comparison، قالنا الحدود
+
+272
+00:29:50,390 --> 00:29:54,490
+موجبة. عندما جينا للـ test limit comparison، قالنا
+
+273
+00:29:54,490 --> 00:30:00,860
+كذلك الحدود بدياها موجبة. قال افترض أن الـ a n أكبر
+
+274
+00:30:00,860 --> 00:30:04,920
+من 0 و الـ b n أكبر من 0 for all n اللي أكبر من أو
+
+275
+00:30:04,920 --> 00:30:10,200
+يساوي الـ n يعني ممكن آجي عند الـ واحد ولا آجي الـ a
+
+276
+00:30:10,200 --> 00:30:13,160
+one موجبه بلك الـ b one سالبه
+
+277
+00:30:25,540 --> 00:30:30,580
+بنفترض بعد عشر حدود يبقى أنا بدي أبدأ إن أنا نصمش
+
+278
+00:30:30,580 --> 00:30:36,240
+من n equal العشرة لـ infinity بصير الـ a n أكبر من
+
+279
+00:30:36,240 --> 00:30:39,060
+الـ zero و الـ b n أكبر من الـ zero يبقى بقدر أستخدم
+
+280
+00:30:39,060 --> 00:30:45,130
+الـ limit comparison تستخدمهما العدد المحدود من
+
+281
+00:30:45,130 --> 00:30:48,950
+حدود الـ series لا يؤثر على الـ convergence ولا على
+
+282
+00:30:48,950 --> 00:30:55,730
+الـ divergence لهذه الـ series بيقول جيك جسمت الحد
+
+283
+00:30:55,730 --> 00:31:02,600
+النوني AN على الحد النوني BN يعني BN هذه الـ series
+
+284
+00:31:02,600 --> 00:31:07,180
+التانية هو بيعطيها لي غير الـ AN؟ لأ، هو بيعطيني الـ
+
+285
+00:31:07,180 --> 00:31:10,760
+series واحدة، هاي السؤال، بيعطيني الـ series واحدة
+
+286
+00:31:10,760 --> 00:31:15,700
+طب و أنا إيش بدي أبدأ أسويه؟ أنت لحالك بدك تروح تجيب الـ
+
+287
+00:31:15,700 --> 00:31:19,640
+series تانية الـ series التانية بدأت تكون معروفة
+
+288
+00:31:19,640 --> 00:31:23,100
+بالنسبالك هل هي converged أو diverged قبل ما نبدأ
+
+289
+00:31:23,100 --> 00:31:27,620
+يعني الـ summation على BN معروفة بالنسبالي هل هي
+
+290
+00:31:27,620 --> 00:31:32,490
+converged أو diverge غالب بتكون واحدة من
+
+291
+00:31:32,490 --> 00:31:36,210
+التلاتة المشهورة طب بدي أجيبها من وين؟ بدي أجيبها
+
+292
+00:31:36,210 --> 00:31:40,510
+من الـ series اللي موجودة عندي يعني بدي أخلق series
+
+293
+00:31:40,510 --> 00:31:46,190
+من الـ series اللي موجودة كل سؤال بما يناسبه تمام؟
+
+294
+00:31:46,770 --> 00:31:51,450
+بقول كويس خلقنا series of motion على BN واخدنا
+
+295
+00:31:51,450 --> 00:31:56,450
+الحد النوني تبعها يلجأ N على BN أخدت الـ limit لما
+
+296
+00:31:56,450 --> 00:32:00,810
+الـ N بدأت تروح لمالة نهاية طلع الناتج قيمة عددية
+
+297
+00:32:00,810 --> 00:32:06,100
+وهذه القيمة أكبر من الـ zero لا يمكن تجي أقل من الـ zero
+
+298
+00:32:06,100 --> 00:32:10,100
+لإيش؟ لأن الـ two are positive من ورم الدجين السالب
+
+299
+00:32:10,100 --> 00:32:15,940
+يبقى دائما و أبدا هتكون مالها أكبر من الـ zero إذا
+
+300
+00:32:15,940 --> 00:32:22,300
+حدث ذلك طبعا في أي رقم و ليس رقم محدد إذا حدث ذلك
+
+301
+00:32:22,300 --> 00:32:25,520
+سيكون الـ series تبعت البسط و الـ series تبعت المقام
+
+302
+00:32:25,520 --> 00:32:29,880
+اتنين حبايب هدي converge هدي converge هدي diverge
+
+303
+00:32:29,880 --> 00:32:30,680
+هدي diverge
+
+304
+00:32:40,350 --> 00:32:44,150
+تبع المقام Convergent وتبع البسط Convergent تبع
+
+305
+00:32:44,150 --> 00:32:47,270
+المقام Convergent وتبع البسط Convergent
+
+306
+00:32:48,960 --> 00:32:53,780
+لو أخدت limit الآن على الـ b إنّه طلع يساوي zero
+
+307
+00:32:53,780 --> 00:32:59,560
+وطلعت في تبعة المقام وجدت convert إذا النتج يساوي
+
+308
+00:32:59,560 --> 00:33:03,840
+zero تبعة المقام convert إذا تبعة البسط convert
+
+309
+00:33:03,840 --> 00:33:08,090
+على قول الخط النقطة التالتة اللي أخدت الـ limit و
+
+310
+00:33:08,090 --> 00:33:12,650
+لجيتها infinity و روحت لـ series تبع المقام لجيتها
+
+311
+00:33:12,650 --> 00:33:18,190
+diverge يرجع تبع البسط لها diverge السؤال اللي بدور
+
+312
+00:33:18,190 --> 00:33:22,710
+الآن في دماغ البعض منكم طيب لو روحنا أخدنا الـ
+
+313
+00:33:22,710 --> 00:33:26,770
+limit هذا و طلع يساوي zero و روحنا على الـ
+
+314
+00:33:26,770 --> 00:33:32,740
+summation على BN إنّه لجيتها diverge بفشل الاختبار يعني
+
+315
+00:33:32,740 --> 00:33:36,220
+الاختبار هذا لا نستطيع بيه الحكم على الـ series هل
+
+316
+00:33:36,220 --> 00:33:40,800
+هي converge أو diverge و بروح ندورنا على أي اختبار
+
+317
+00:33:40,800 --> 00:33:45,960
+من الاختبارات ذات السابق التي سبقت دراستها ما ينطبق
+
+318
+00:33:45,960 --> 00:33:49,540
+هنا ينطبق هنا يعني لجهة الـ limit هذه infinity لكن
+
+319
+00:33:49,540 --> 00:33:54,630
+هذه converge مش diverge يبقى تبع البسط الله أعلم قد
+
+320
+00:33:54,630 --> 00:33:59,110
+تكون converge و قد تكون diverge احنا ما بنعرفها يبقى
+
+321
+00:33:59,110 --> 00:34:03,630
+بيفشل الاختبار في هذه الحالة حد يلوي أي تسوان هنا
+
+322
+00:34:03,630 --> 00:34:09,910
+قبل أن ندخل على الأمثلة فضل اه
+
+323
+00:34:11,800 --> 00:34:20,340
+يعني عدد الاختبارات كثيرة لا هي راجل .. لا ما هو أنت
+
+324
+00:34:20,340 --> 00:34:26,280
+لما تحل مثال بصير بمجرد النظر تعرف مين الاختبار
+
+325
+00:34:26,280 --> 00:34:30,560
+اللي بدك تستخدمه لكن إذا بيكتفي بالأمثلة اللي
+
+326
+00:34:30,560 --> 00:34:35,640
+بتاخدها هنا، بيقول يمكن تنجح، يمكن، اه يعني
+
+327
+00:34:35,640 --> 00:34:39,100
+الرياضيات اللي روح تمسك جلمك و تشغل، ما اشتغلتش
+
+328
+00:34:39,100 --> 00:34:43,240
+بجلمك، أنت لا سابع رياضيات ولا بتعرف رياضيات، أنت
+
+329
+00:34:43,240 --> 00:34:46,800
+حافظلك كم مثال ولا طريقة كم مثل انقاد يزيهم
+
+330
+00:34:46,800 --> 00:34:52,070
+يتحلوا، خدناشدانا المشوية السؤال تبقى راحة العلم
+
+331
+00:34:52,070 --> 00:34:58,050
+و أنت صافيت على شجة، إذا لازم تتمرس عن طريق حل
+
+332
+00:34:58,050 --> 00:35:03,330
+المسائل واحنا لما نجيبك سؤال لا نقيدك بأي اختبار،
+
+333
+00:35:03,330 --> 00:35:05,790
+بيقولك test the convergence of the following
+
+334
+00:35:05,790 --> 00:35:11,470
+series و أنت حر استخدم الاختبار الذي تراه مناسبا
+
+335
+00:35:11,470 --> 00:35:15,910
+وقد تستغرب أن السؤال يحل بـ 3 أو 4 اختبارات كل واحد
+
+336
+00:35:15,910 --> 00:35:21,210
+بيحلوا شكل يبدأ كله حسب ما يهديه ربنا في عقله هذا
+
+337
+00:35:21,210 --> 00:35:25,570
+و يكتشف الطريقة و يكتشف الاختبار اللي بيحله على أي
+
+338
+00:35:25,570 --> 00:35:31,970
+حال على أي حال كل هذا من نتركه لأن هذا بوسع مدارك
+
+339
+00:35:31,970 --> 00:35:35,190
+و بصير يتفكر كويس بس لو قلت لك استخدم الطريقة
+
+340
+00:35:35,190 --> 00:35:38,990
+الفلانية أنا ما شغلتش بخك بصير أنت زي اللي نايم
+
+341
+00:35:38,990 --> 00:35:42,460
+خلاص automatic بشتغلها أي نعم، لكن لما أقول لك
+
+342
+00:35:42,460 --> 00:35:45,740
+استخدام اللي بدك إياه، بصيت فاكر مين اللي بينفع
+
+343
+00:35:45,740 --> 00:35:49,560
+فيهم، هذا لأ، هذا اه، يبقى أنت صارت الـ thumbs
+
+344
+00:35:49,560 --> 00:35:53,600
+ووسعنا المدارك العالمية بالنسبالك، أعني بالك معاك
+
+345
+00:35:53,600 --> 00:35:56,760
+هنا، الآن بدنا نبدأ ناخد أمثلة على الكلام اللي
+
+346
+00:35:56,760 --> 00:36:00,160
+بنقوله، جالي يشوف لي هالـ series هذي convert، قوله
+
+347
+00:36:00,160 --> 00:36:06,740
+ضيفين، بدي أنا بقى أسأل من أقرب series على هذه الـ
+
+348
+00:36:06,740 --> 00:36:10,960
+series أنا عارفهم مسبقا هل هي convergent أو
+
+349
+00:36:10,960 --> 00:36:19,020
+divergent أقرب
+
+350
+00:36:19,020 --> 00:36:25,460
+واحد عليهم واحد على n إذا أنا بقول عندنا summation
+
+351
+00:36:25,460 --> 00:36:32,180
+واحد على n هي divergent harmonic series
+
+352
+00:36:34,490 --> 00:36:40,370
+يبقى بنروح نأخذ الـ limit لما الـ N tends to infinity
+
+353
+00:36:40,370 --> 00:36:47,990
+لواحد على N الجذر النوني لـ N تكعيب تقسيم واحد على
+
+354
+00:36:47,990 --> 00:36:52,550
+N يبقى يساوي الـ limit لما الـ N tends to infinity
+
+355
+00:36:52,550 --> 00:37:03,830
+تطلع الـ N فوق على الـ N وهذا N تكعيب أس واحد على
+
+356
+00:37:03,830 --> 00:37:11,370
+N تختصر N مع N يبقى بصير المسألة limit لما
+
+357
+00:37:11,370 --> 00:37:17,950
+الـ N till infinity لواحد على N أس واحد على N
+
+358
+00:37:17,950 --> 00:37:23,610
+الكل تكعيب يبقى N تكعيب أس واحد على N والله N أس
+
+359
+00:37:23,610 --> 00:37:28,470
+واحد على N الكل تكعيب الاتنين are the same الـ
+
+360
+00:37:28,470 --> 00:37:33,070
+limit هذه لو جيت حسبتها يبقى واحد على .. هذه من الـ
+
+361
+00:37:33,070 --> 00:37:36,530
+standard المعروفة من الـ six limits المشهورة اللي
+
+362
+00:37:36,530 --> 00:37:42,750
+أعطينالك في جدول، هذه رقم قداش منهم؟ الرقم اتنين،
+
+363
+00:37:42,750 --> 00:37:48,870
+يبقى هذه قيمتها بواحد تكعيب، يبقى النتيجة يساوي قداش
+
+364
+00:37:50,330 --> 00:37:54,330
+واحد والرقم أكبر من الـ zero يبقى بالـ limit
+
+365
+00:37:54,330 --> 00:37:58,730
+comparison test الـ series اللي قارننا معاها والـ
+
+366
+00:37:58,730 --> 00:38:02,690
+series الأصلية اتنين زي بعض طب اللي قارننا معاها
+
+367
+00:38:02,690 --> 00:38:06,930
+diverge إذا الـ series التانية معاها diverge
+
+368
+00:38:06,930 --> 00:38:12,910
+فبروح بقوله by the limit comparison test the
+
+369
+00:38:12,910 --> 00:38:13,730
+series
+
+370
+00:38:32,070 --> 00:38:37,590
+السؤال الثاني يقول
+
+371
+00:38:39,650 --> 00:38:48,070
+من N equal one to infinity للجذر النوني لـ N على N
+
+372
+00:38:48,070 --> 00:38:48,850
+تربيع
+
+373
+00:38:52,210 --> 00:38:59,770
+ماشي الحاجة high summation 1 على N تربيع convert P
+
+374
+00:38:59,770 --> 00:39:08,850
+series السبب بسبب أن P يساوي 2 أكبر من 1 يبقى بدنا
+
+375
+00:39:08,850 --> 00:39:14,530
+نأخذ limit لما الـ N tends to infinity للـ N أس 1 على 
+
+
+
+376
+00:39:14,530 --> 00:39:21,270
+على N على N تربية تقسيم 1 على N تربية يبقى هذا كلام
+
+377
+00:39:21,270 --> 00:39:26,770
+limit لما ال N tends to infinity لل N أس واحد على 
+
+378
+00:39:26,770 --> 00:39:31,850
+N واحد على N تربية تختصر مع واحد على N تربية بيبقى
+
+379
+00:39:31,850 --> 00:39:37,630
+ال N أس واحد على N ليه بيجداش بواحد كذلك أكبر من
+
+380
+00:39:37,630 --> 00:39:44,570
+الصفر بروح بقوله by the limit comparison test
+
+381
+00:40:01,200 --> 00:40:03,320
+السؤال الثالث
+
+382
+00:40:07,080 --> 00:40:12,100
+سؤال الثالث بيقول لي ال summation من n equal one to 
+
+383
+00:40:12,100 --> 00:40:19,640
+infinity ل tan واحد على m بدنا نشوف هل ال series
+
+384
+00:40:19,640 --> 00:40:26,650
+هذه converge ولا diverge يا الله طلع فيها كويس وشوف
+
+385
+00:40:26,650 --> 00:40:32,590
+مين أقرب series عليها ممكن نعمل مقارنة بينها
+
+386
+00:40:32,590 --> 00:40:37,730
+وبينها وبالتالي نتوصل لل convergence أو ال
+
+387
+00:40:37,730 --> 00:40:47,190
+divergence تبعتها واحد على انفينيتي، مين؟ طيب نجرب،
+
+388
+00:40:47,190 --> 00:40:56,180
+يبقى وقت بسم الله بيقول الانفينيتي، ولا لا؟ الان الان
+
+389
+00:40:56,180 --> 00:41:01,320
+اعتبر سمعي مش مظبوط يبقى لو روحنا أخذنا summation
+
+390
+00:41:01,320 --> 00:41:06,660
+واحد على n summation واحد على n هي diverge
+
+391
+00:41:06,660 --> 00:41:15,770
+harmonic series بدنا نروح نأخذ limit لما ال N tends
+
+392
+00:41:15,770 --> 00:41:22,790
+to infinity لتان واحد على N كله على واحد على m
+
+393
+00:41:22,790 --> 00:41:29,530
+التعويض المباشر يعطينا صفر على صفر يبقى نستخدم
+
+394
+00:41:29,530 --> 00:41:34,070
+قاعدة لوبيتال يبقى limit لما ال N tends to
+
+395
+00:41:34,070 --> 00:41:35,910
+infinity تفضل ال tan
+
+396
+00:41:47,500 --> 00:41:53,460
+نختصر لاختصارات هذه مع السلامة بصير limit لما ال
+
+397
+00:41:53,460 --> 00:41:59,040
+N tends to infinity ل sec تربيع 1 على N
+
+398
+00:42:02,540 --> 00:42:10,500
+صفر sec الصفر بواحد تربيع اللي هو بواحد كذلك إذا
+
+399
+00:42:10,500 --> 00:42:16,200
+ساوى الرقم والرقم أكبر من مين من الصفر يبقى
+
+400
+00:42:16,200 --> 00:42:20,620
+النتيجة هذه اللي لهم بيبقى بعض يبقى باجي بقوله by
+
+401
+00:42:20,620 --> 00:42:28,020
+the limit comparison test the series summation
+
+402
+00:42:28,020 --> 00:42:31,280
+لتان واحد على m
+
+403
+00:42:34,610 --> 00:42:40,690
+سؤال الرابع الرابع
+
+404
+00:42:40,690 --> 00:42:48,990
+summation من N equal to infinity لواحد على N
+
+405
+00:42:48,990 --> 00:42:57,430
+الجذر التربيعي ل N تربيع ناقص واحد
+
+406
+00:42:57,430 --> 00:42:58,170
+على مين؟
+
+407
+00:43:01,940 --> 00:43:06,740
+أحد الشباب يقترح أنه نقارن مع واحد على n بقوله
+
+408
+00:43:06,740 --> 00:43:11,380
+تمام يبقى لما المقدار هذا مقسوما على واحد على n
+
+409
+00:43:11,380 --> 00:43:16,680
+تطلع n فور وتروح مع n لتحت بصير واحد على الجذر
+
+410
+00:43:16,680 --> 00:43:23,390
+واحد على ما لا نهاية تبزّينه وتبعت المقام بيفير يبقى
+
+411
+00:43:23,390 --> 00:43:28,430
+فشل الاختبار في الحكم مش اللي فشل الاختبار،
+
+412
+00:43:28,430 --> 00:43:31,950
+والاختبار فشل بناءً على ال series اللي اختارها،
+
+413
+00:43:31,950 --> 00:43:36,930
+يبقى اختياره في هذه الحالة اختيارًا خاطئًا، وعلى
+
+414
+00:43:36,930 --> 00:43:40,530
+ال interviewer، يبقى الأقرب للحساب الذاتي اللي هو
+
+415
+00:43:40,530 --> 00:43:45,650
+واحد على ال N تربيع و هذا جذر الـ
+
+416
+00:43:45,650 --> 00:43:50,590
+N تربيع و كمان N يبقى باجي بقول احنا بنعرف
+
+417
+00:43:50,590 --> 00:43:58,430
+summation 1 على N تربيع converge P series
+
+418
+00:44:00,010 --> 00:44:08,810
+بسبب أن P يساوي 2 أكبر من الواحدة الصحيه نروح نأخذ
+
+419
+00:44:08,810 --> 00:44:14,170
+limit لما ال N tends to infinity لواحد على N
+
+420
+00:44:14,170 --> 00:44:18,750
+الجذر التربيعي ل N تربيع minus one كله بدا يقسم
+
+421
+00:44:18,750 --> 00:44:24,490
+على واحد على N تربيع يساوي limit لما ال N tends to
+
+422
+00:44:24,490 --> 00:44:30,180
+infinity لمن؟ لل N على الجذر التربيعي ل N تربيع
+
+423
+00:44:30,180 --> 00:44:35,340
+ناقص واحد جلبناها طلعت فوق اختصرت مع ال N اللي تعثرت
+
+424
+00:44:35,340 --> 00:44:39,680
+بالشكل هذا الان تعويض مباشر بيعطيني infinity على
+
+425
+00:44:39,680 --> 00:44:45,640
+infinity يا اما بستخدم قاعدة لوميتاليا إما بجسم البسط
+
+426
+00:44:45,640 --> 00:44:50,120
+والمقام على n المرفوع عليه أكبر أس في المقام يعني
+
+427
+00:44:50,120 --> 00:44:54,820
+يجدوش على n وليس على n تربيع لأن n تربيع تحت
+
+428
+00:44:54,820 --> 00:45:00,800
+الجذر التربيعي إذا لو جسمنا كل من البسط والمقام على
+
+429
+00:45:00,800 --> 00:45:06,160
+n بصير عندي واحد هنا لما أجسمها n هدخلها تحت
+
+430
+00:45:06,160 --> 00:45:11,940
+الجذر تدخل تحت الجذر ب n تربيع بصير ال square root
+
+431
+00:45:11,940 --> 00:45:17,700
+ل واحد ناقص واحد على n تربيع هذا بصفر والنتيجة
+
+432
+00:45:17,700 --> 00:45:22,520
+بستوي واحد الأولى converge إذا الثانية مالها يبقى
+
+433
+00:45:22,520 --> 00:45:28,940
+باجي بقوله by the limit comparison test the series
+
+434
+00:45:28,940 --> 00:45:34,420
+summation واحد على n الجذر التربيعي ل n تربيع
+
+435
+00:45:34,420 --> 00:45:45,380
+ناقص واحد converge كذلك سؤال
+
+436
+00:45:45,380 --> 00:45:57,720
+الخامس summation من N equal one to infinity لواحد
+
+437
+00:45:57,720 --> 00:46:01,660
+على واحد زائد ln ال N
+
+438
+00:46:06,550 --> 00:46:10,870
+خلّوه يباركوا هنا خلّوه
+
+439
+00:46:10,870 --> 00:46:11,470
+يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا
+
+440
+00:46:11,470 --> 00:46:12,670
+هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه
+
+441
+00:46:12,670 --> 00:46:15,950
+يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا
+
+442
+00:46:15,950 --> 00:46:15,970
+خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا
+
+443
+00:46:15,970 --> 00:46:17,470
+هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه
+
+444
+00:46:17,470 --> 00:46:25,810
+يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا
+
+445
+00:46:25,810 --> 00:46:32,590
+هنا خلّوه
+
+446
+00:46:33,130 --> 00:46:37,870
+يبقى لما أقعد أطلع في الأمثلة هذه بلاحظ أنه أقرب
+
+447
+00:46:37,870 --> 00:46:42,630
+series عليها من اللي احنا عارفينهم واحد على N
+
+448
+00:46:42,630 --> 00:46:48,430
+مظبوط، بنجرب، ضبطت، أهل الوسيلة، ما ضبطت، بنقوا،
+
+449
+00:46:48,430 --> 00:46:54,270
+هنغيرها، الشغل في بيننا، إذن بدي أجرب summation
+
+450
+00:46:54,270 --> 00:47:01,590
+واحد على N اللي هي diverge harmonic series
+
+451
+00:47:04,050 --> 00:47:10,130
+يبدأ بأخذ limit لما ال N tends to infinity ل 1 على 1
+
+452
+00:47:10,130 --> 00:47:18,500
+زائد ln ال N تقسيم 1 على N يبقى هذا الكلام بده
+
+453
+00:47:18,500 --> 00:47:25,100
+يستوي ال limit لما ال N تنزل infinity لل N على 1
+
+454
+00:47:25,100 --> 00:47:31,260
+زائد ln ال N نرجع لسؤالنا الثاني يبقى جلبنا طلعت
+
+455
+00:47:31,260 --> 00:47:35,580
+ال N فوق و صارت ثانية تحته تعويض مباشر بيجيب لي
+
+456
+00:47:35,580 --> 00:47:42,430
+infinity على infinity يبقى بقاعدة لوبيتال limit لما
+
+457
+00:47:42,430 --> 00:47:49,230
+ال N tends to infinity للواحد على مشتقة هذا بصفر
+
+458
+00:47:49,230 --> 00:47:56,470
+ومشتقة هذا بالواحد على N يبقى الصعب limit لما ال N
+
+459
+00:47:56,470 --> 00:48:03,630
+tends to infinity لمن؟ ل n النتيجة جدوش infinity طيب
+
+460
+00:48:03,630 --> 00:48:12,190
+تبعت المقام diverge والنتيجة infinity بقوله by the
+
+461
+00:48:12,190 --> 00:48:20,230
+limit comparison test the series summation للواحد
+
+462
+00:48:20,230 --> 00:48:27,950
+على واحد زائد ln ال N اللي هو diverge كذلك أحد
+
+463
+00:48:27,950 --> 00:48:33,410
+من الشباب قال ايه؟ قال أنت بشوفك كله limit
+
+464
+00:48:33,410 --> 00:48:37,970
+comparison يعني ما ينفعش بال comparison والله التكامل
+
+465
+00:48:37,970 --> 00:48:42,070
+والله ال end term والله اللي فات بقول لك ممكن ما ينفعش
+
+466
+00:48:42,070 --> 00:48:46,830
+جرب الحين هذا لو بدي آجي آخذ ال end term شاف أحد
+
+467
+00:48:46,830 --> 00:48:51,740
+عمل نهاية بصفر فاشل لحد الآن ما نستطيع أن نكمل واحد
+
+468
+00:48:51,740 --> 00:48:54,980
+على واحد زائد ln جمله لم يتم تكمله بعد أنك تبحث عن
+
+469
+00:48:54,980 --> 00:49:00,240
+الشروط الثلاثة جزء طويلة وبعدين تكملها سابع يبقى
+
+470
+00:49:00,240 --> 00:49:04,500
+بروحي لل comparison ووصلت لل comparison بقوله اه هو
+
+471
+00:49:04,500 --> 00:49:12,190
+الواحد على واحد زائد ln ال m طبعا أقرب واحدة اللي
+
+472
+00:49:12,190 --> 00:49:15,550
+احنا طلعناها diverge مظبوط إذا diverge معناته ده
+
+473
+00:49:15,550 --> 00:49:23,410
+ماشي أكبر من بقولها أكبر من واحد على ln ال n صحيح؟
+
+474
+00:49:23,410 --> 00:49:31,190
+لا مش صحيح يبقى بقوله زائد ln ln تمشي الحال؟ يعني
+
+475
+00:49:31,190 --> 00:49:38,530
+هذا واحد على اثنين ln ln شو علاقة بواحد على اثنين
+
+476
+00:49:38,530 --> 00:49:48,430
+n؟ أقل ولا أكبر؟ أقل لوغاريتم العدد أقل من العدد إذا
+
+477
+00:49:48,430 --> 00:49:53,990
+الكسور هذه لها أكبر إذا هذا الكسر أكبر من الكسر اللي
+
+478
+00:49:53,990 --> 00:49:58,430
+عندنا هذا واحد على اثنين ln ال n أكبر كثيرا من
+
+479
+00:49:58,430 --> 00:50:05,710
+واحد على اثنين n بقوله بطوي لكن نص summation واحد
+
+480
+00:50:05,710 --> 00:50:13,950
+على n by very harmonic series يفجه هنا by the
+
+481
+00:50:13,950 --> 00:50:21,210
+comparison test the series summation للواحد زائد
+
+482
+00:50:21,210 --> 00:50:26,530
+ln ال n diverged وانتهينا من هنا على أي حال يعني
+
+483
+00:50:26,530 --> 00:50:30,950
+احنا لما نيجي نشغل في ال section هذا كل اختبارات
+
+484
+00:50:30,950 --> 00:50:35,550
+السابقة يمكن استخدامها تهرب تستخدمها ماشي بدكش
+
+485
+00:50:35,550 --> 00:50:39,620
+تستخدمها ماشي سياملازم في نفس ال section و لما
+
+486
+00:50:39,620 --> 00:50:43,800
+ننتهي بعد يوم السبت إن شاء الله بنكمل هذا ال
+
+487
+00:50:43,800 --> 00:50:47,200
+section و بنبدأ في ال section الجديد 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4VcdhcmE1dg_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4VcdhcmE1dg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..fd6ab8af2afd323116d7015857c84f35ad308bfc
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4VcdhcmE1dg_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2710, "start": 9.4, "end": 27.1, "text": "بسم الله الرحمن الرحيم نكمل ما بدأناه في المرة الماضية وهو موضوع ال comparison test و limit comparison test احنا المرة اللي فاتة خدنا فقط اللي هو ال comparison test تمام اختبار المقارنة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 24793, 1211, 19446, 47525, 10721, 8315, 3224, 8978, 9673, 25720, 9673, 46958, 10632, 37037, 2407, 3714, 2407, 11242, 45367, 2423, 9660, 1500, 4032, 4948, 9660, 1500, 1975, 5016, 8315, 9673, 25720, 13672, 1829, 6156, 9307, 3660, 16490, 3215, 8315, 6156, 47432, 13672, 1829, 31439, 2423, 9660, 1500, 46811, 10943, 1975, 46456, 3555, 9640, 9673, 4587, 9640, 1863, 3660], "avg_logprob": -0.21059782867846283, "compression_ratio": 1.7321428571428572, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 9.4, "end": 10.4, "word": "بسم", "probability": 0.802001953125}, {"start": 10.4, "end": 10.6, "word": " الله", "probability": 0.96435546875}, {"start": 10.6, "end": 11.02, "word": " الرحمن", "probability": 0.9656575520833334}, {"start": 11.02, "end": 11.56, "word": " الرحيم", "probability": 0.9903971354166666}, {"start": 11.56, "end": 13.6, "word": " نكمل", "probability": 0.75830078125}, {"start": 13.6, "end": 13.82, "word": " ما", "probability": 0.474609375}, {"start": 13.82, "end": 14.4, "word": " بدأناه", "probability": 0.68304443359375}, {"start": 14.4, "end": 14.5, "word": " في", "probability": 0.61376953125}, {"start": 14.5, "end": 14.82, "word": " المرة", "probability": 0.95556640625}, {"start": 14.82, "end": 15.52, "word": " الماضية", "probability": 0.9884440104166666}, {"start": 15.52, "end": 16.02, "word": " وهو", "probability": 0.7088623046875}, {"start": 16.02, "end": 16.5, "word": " موضوع", "probability": 0.976318359375}, {"start": 16.5, "end": 16.74, "word": " ال", "probability": 0.8857421875}, {"start": 16.74, "end": 17.26, "word": " comparison", "probability": 0.58740234375}, {"start": 17.26, "end": 17.88, "word": " test", "probability": 0.87548828125}, {"start": 17.88, "end": 18.06, "word": " و", "probability": 0.43115234375}, {"start": 18.06, "end": 18.36, "word": " limit", "probability": 0.802734375}, {"start": 18.36, "end": 19.12, "word": " comparison", "probability": 0.9169921875}, {"start": 19.12, "end": 19.88, "word": " test", "probability": 0.9482421875}, {"start": 19.88, "end": 20.78, "word": " احنا", "probability": 0.8865559895833334}, {"start": 20.78, "end": 21.06, "word": " المرة", "probability": 0.78759765625}, {"start": 21.06, "end": 21.22, "word": " اللي", "probability": 0.5748291015625}, {"start": 21.22, "end": 21.42, "word": " فاتة", "probability": 0.617919921875}, {"start": 21.42, "end": 21.84, "word": " خدنا", "probability": 0.8312174479166666}, {"start": 21.84, "end": 22.7, "word": " فقط", "probability": 0.761962890625}, {"start": 22.7, "end": 23.06, "word": " اللي", "probability": 0.78076171875}, {"start": 23.06, "end": 23.2, "word": " هو", "probability": 0.962890625}, {"start": 23.2, "end": 23.34, "word": " ال", "probability": 0.7880859375}, {"start": 23.34, "end": 23.9, "word": " comparison", "probability": 0.9658203125}, {"start": 23.9, "end": 24.76, "word": " test", "probability": 0.9404296875}, {"start": 24.76, "end": 25.3, "word": " تمام", "probability": 0.9443359375}, {"start": 25.3, "end": 26.0, "word": " اختبار", "probability": 0.94482421875}, {"start": 26.0, "end": 27.1, "word": " المقارنة", "probability": 0.98017578125}], "temperature": 1.0}, {"id": 2, "seek": 4904, "start": 27.5, "end": 49.04, "text": "وقلنا بنقارن ما بين حدين نونيين ل two series تمام؟ في طبعا حد نوني اكبر او اقل من الحد النوني الثاني واحد اكبر منين من التاني يبقى التاني بيكون اصغر ففاجي بقول لو كان ال a n اقل من ال c n", "tokens": [2407, 4587, 1211, 8315, 44945, 4587, 9640, 1863, 19446, 49374, 11331, 3215, 9957, 8717, 11536, 1829, 9957, 5296, 732, 2638, 46811, 10943, 22807, 8978, 23032, 3555, 3615, 995, 11331, 3215, 8717, 11536, 1829, 1975, 4117, 26890, 1975, 2407, 1975, 4587, 1211, 9154, 21542, 3215, 28239, 11536, 1829, 6024, 104, 7649, 1829, 36764, 24401, 1975, 4117, 26890, 9154, 9957, 9154, 16712, 7649, 1829, 7251, 3555, 4587, 7578, 16712, 7649, 1829, 4724, 1829, 30544, 1975, 9381, 17082, 2288, 6156, 5172, 26108, 1829, 4724, 39648, 45164, 25961, 2423, 257, 297, 1975, 4587, 1211, 9154, 2423, 269, 297], "avg_logprob": -0.20312500250966925, "compression_ratio": 1.8285714285714285, "no_speech_prob": 0.0, "words": [{"start": 27.5, "end": 28.18, "word": "وقلنا", "probability": 0.586944580078125}, {"start": 28.18, "end": 29.1, "word": " بنقارن", "probability": 0.79656982421875}, {"start": 29.1, "end": 29.22, "word": " ما", "probability": 0.35205078125}, {"start": 29.22, "end": 29.44, "word": " بين", "probability": 0.98486328125}, {"start": 29.44, "end": 30.3, "word": " حدين", "probability": 0.8631184895833334}, {"start": 30.3, "end": 31.2, "word": " نونيين", "probability": 0.89892578125}, {"start": 31.2, "end": 31.5, "word": " ل", "probability": 0.89599609375}, {"start": 31.5, "end": 31.82, "word": " two", "probability": 0.57666015625}, {"start": 31.82, "end": 32.64, "word": " series", "probability": 0.84765625}, {"start": 32.64, "end": 33.94, "word": " تمام؟", "probability": 0.6873372395833334}, {"start": 33.94, "end": 34.32, "word": " في", "probability": 0.4267578125}, {"start": 34.32, "end": 34.74, "word": " طبعا", "probability": 0.9488525390625}, {"start": 34.74, "end": 35.12, "word": " حد", "probability": 0.93212890625}, {"start": 35.12, "end": 35.46, "word": " نوني", "probability": 0.9641927083333334}, {"start": 35.46, "end": 36.12, "word": " اكبر", "probability": 0.794677734375}, {"start": 36.12, "end": 36.52, "word": " او", "probability": 0.983154296875}, {"start": 36.52, "end": 37.02, "word": " اقل", "probability": 0.9905598958333334}, {"start": 37.02, "end": 37.22, "word": " من", "probability": 0.9931640625}, {"start": 37.22, "end": 37.72, "word": " الحد", "probability": 0.96533203125}, {"start": 37.72, "end": 38.44, "word": " النوني", "probability": 0.84375}, {"start": 38.44, "end": 39.0, "word": " الثاني", "probability": 0.85186767578125}, {"start": 39.0, "end": 39.4, "word": " واحد", "probability": 0.864013671875}, {"start": 39.4, "end": 39.88, "word": " اكبر", "probability": 0.97265625}, {"start": 39.88, "end": 40.36, "word": " منين", "probability": 0.58697509765625}, {"start": 40.36, "end": 40.54, "word": " من", "probability": 0.71142578125}, {"start": 40.54, "end": 41.1, "word": " التاني", "probability": 0.94384765625}, {"start": 41.1, "end": 41.76, "word": " يبقى", "probability": 0.933349609375}, {"start": 41.76, "end": 42.12, "word": " التاني", "probability": 0.9832356770833334}, {"start": 42.12, "end": 42.7, "word": " بيكون", "probability": 0.8357747395833334}, {"start": 42.7, "end": 43.38, "word": " اصغر", "probability": 0.9512939453125}, {"start": 43.38, "end": 44.4, "word": " ففاجي", "probability": 0.7303466796875}, {"start": 44.4, "end": 44.7, "word": " بقول", "probability": 0.96337890625}, {"start": 44.7, "end": 44.98, "word": " لو", "probability": 0.9345703125}, {"start": 44.98, "end": 45.34, "word": " كان", "probability": 0.98974609375}, {"start": 45.34, "end": 45.64, "word": " ال", "probability": 0.9697265625}, {"start": 45.64, "end": 45.92, "word": " a", "probability": 0.363525390625}, {"start": 45.92, "end": 46.46, "word": " n", "probability": 0.72509765625}, {"start": 46.46, "end": 47.52, "word": " اقل", "probability": 0.9241536458333334}, {"start": 47.52, "end": 47.86, "word": " من", "probability": 0.99462890625}, {"start": 47.86, "end": 48.16, "word": " ال", "probability": 0.86181640625}, {"start": 48.16, "end": 48.54, "word": " c", "probability": 0.97607421875}, {"start": 48.54, "end": 49.04, "word": " n", "probability": 0.8916015625}], "temperature": 1.0}, {"id": 3, "seek": 7098, "start": 49.95, "end": 70.99, "text": "وكان اللي هو ال cn اللي هو الكبير converged يبقى summation على an بيكون converged طبعا لو كان ال dn أقل من أو يساوي ال an وكان ال dn ضيفج summation عليها ال series هذه يبقى", "tokens": [2407, 41361, 13672, 1829, 31439, 2423, 269, 77, 13672, 1829, 31439, 33251, 3555, 13546, 9652, 3004, 7251, 3555, 4587, 7578, 28811, 15844, 364, 4724, 1829, 30544, 9652, 3004, 23032, 3555, 3615, 995, 45164, 25961, 2423, 274, 77, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 995, 45865, 2423, 364, 4032, 41361, 2423, 274, 77, 48812, 33911, 7435, 28811, 25894, 11296, 2423, 2638, 29538, 7251, 3555, 4587, 7578], "avg_logprob": -0.2877798551943765, "compression_ratio": 1.6265822784810127, "no_speech_prob": 0.0, "words": [{"start": 49.95, "end": 50.93, "word": "وكان", "probability": 0.603759765625}, {"start": 50.93, "end": 51.61, "word": " اللي", "probability": 0.4256591796875}, {"start": 51.61, "end": 51.95, "word": " هو", "probability": 0.97021484375}, {"start": 51.95, "end": 52.33, "word": " ال", "probability": 0.6142578125}, {"start": 52.33, "end": 52.93, "word": " cn", "probability": 0.43609619140625}, {"start": 52.93, "end": 53.11, "word": " اللي", "probability": 0.892822265625}, {"start": 53.11, "end": 53.29, "word": " هو", "probability": 0.93603515625}, {"start": 53.29, "end": 53.83, "word": " الكبير", "probability": 0.8478190104166666}, {"start": 53.83, "end": 54.79, "word": " converged", "probability": 0.41912841796875}, {"start": 54.79, "end": 55.33, "word": " يبقى", "probability": 0.945068359375}, {"start": 55.33, "end": 55.87, "word": " summation", "probability": 0.865234375}, {"start": 55.87, "end": 56.33, "word": " على", "probability": 0.6376953125}, {"start": 56.33, "end": 56.97, "word": " an", "probability": 0.55810546875}, {"start": 56.97, "end": 57.77, "word": " بيكون", "probability": 0.87158203125}, {"start": 57.77, "end": 58.95, "word": " converged", "probability": 0.78857421875}, {"start": 58.95, "end": 59.69, "word": " طبعا", "probability": 0.9810791015625}, {"start": 59.69, "end": 60.45, "word": " لو", "probability": 0.9462890625}, {"start": 60.45, "end": 61.09, "word": " كان", "probability": 0.994140625}, {"start": 61.09, "end": 61.63, "word": " ال", "probability": 0.978515625}, {"start": 61.63, "end": 62.57, "word": " dn", "probability": 0.7220458984375}, {"start": 62.57, "end": 63.53, "word": " أقل", "probability": 0.8740234375}, {"start": 63.53, "end": 63.83, "word": " من", "probability": 0.98046875}, {"start": 63.83, "end": 64.15, "word": " أو", "probability": 0.87255859375}, {"start": 64.15, "end": 64.93, "word": " يساوي", "probability": 0.94287109375}, {"start": 64.93, "end": 65.17, "word": " ال", "probability": 0.97021484375}, {"start": 65.17, "end": 65.75, "word": " an", "probability": 0.89208984375}, {"start": 65.75, "end": 66.37, "word": " وكان", "probability": 0.94384765625}, {"start": 66.37, "end": 66.59, "word": " ال", "probability": 0.97705078125}, {"start": 66.59, "end": 67.29, "word": " dn", "probability": 0.932373046875}, {"start": 67.29, "end": 67.97, "word": " ضيفج", "probability": 0.3572184244791667}, {"start": 67.97, "end": 68.53, "word": " summation", "probability": 0.76611328125}, {"start": 68.53, "end": 69.19, "word": " عليها", "probability": 0.947998046875}, {"start": 69.19, "end": 69.77, "word": " ال", "probability": 0.6552734375}, {"start": 69.77, "end": 70.09, "word": " series", "probability": 0.94091796875}, {"start": 70.09, "end": 70.47, "word": " هذه", "probability": 0.53955078125}, {"start": 70.47, "end": 70.99, "word": " يبقى", "probability": 0.9818115234375}], "temperature": 1.0}, {"id": 4, "seek": 9089, "start": 71.19, "end": 90.89, "text": "اللي أكبر منها divergence من الباب الأولى وهي summation على CNN وهذا سمناه المرة الماضية اختبار المقارنة واخدنا على ذلك مجموعة من الأمثلة أعتقد ستة أمثلة وهذا هو المثال السابع", "tokens": [6027, 20292, 5551, 4117, 26890, 9154, 11296, 47387, 9154, 29739, 16758, 16247, 12610, 7578, 37037, 1829, 28811, 15844, 24859, 37037, 15730, 8608, 2304, 8315, 3224, 9673, 25720, 9673, 46958, 10632, 1975, 46456, 3555, 9640, 9673, 4587, 9640, 1863, 3660, 4032, 47283, 3215, 8315, 15844, 29910, 23275, 3714, 7435, 2304, 2407, 27884, 9154, 16247, 2304, 12984, 37977, 5551, 34268, 28543, 8608, 2655, 3660, 5551, 2304, 12984, 37977, 37037, 15730, 31439, 9673, 12984, 6027, 21136, 16758, 3615], "avg_logprob": -0.16745476444300852, "compression_ratio": 1.625, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 71.19, "end": 71.69, "word": "اللي", "probability": 0.658447265625}, {"start": 71.69, "end": 72.23, "word": " أكبر", "probability": 0.916015625}, {"start": 72.23, "end": 72.63, "word": " منها", "probability": 0.983154296875}, {"start": 72.63, "end": 73.29, "word": " divergence", "probability": 0.05657958984375}, {"start": 73.29, "end": 73.51, "word": " من", "probability": 0.94384765625}, {"start": 73.51, "end": 73.77, "word": " الباب", "probability": 0.7626953125}, {"start": 73.77, "end": 74.19, "word": " الأولى", "probability": 0.9617513020833334}, {"start": 74.19, "end": 74.47, "word": " وهي", "probability": 0.805908203125}, {"start": 74.47, "end": 75.05, "word": " summation", "probability": 0.8251953125}, {"start": 75.05, "end": 76.01, "word": " على", "probability": 0.83203125}, {"start": 76.01, "end": 76.63, "word": " CNN", "probability": 0.1910400390625}, {"start": 76.63, "end": 77.49, "word": " وهذا", "probability": 0.853271484375}, {"start": 77.49, "end": 77.97, "word": " سمناه", "probability": 0.7593994140625}, {"start": 77.97, "end": 78.33, "word": " المرة", "probability": 0.951904296875}, {"start": 78.33, "end": 78.87, "word": " الماضية", "probability": 0.9928385416666666}, {"start": 78.87, "end": 79.89, "word": " اختبار", "probability": 0.9637451171875}, {"start": 79.89, "end": 81.75, "word": " المقارنة", "probability": 0.9892578125}, {"start": 81.75, "end": 82.91, "word": " واخدنا", "probability": 0.8543701171875}, {"start": 82.91, "end": 83.19, "word": " على", "probability": 0.89404296875}, {"start": 83.19, "end": 83.83, "word": " ذلك", "probability": 0.994384765625}, {"start": 83.83, "end": 84.49, "word": " مجموعة", "probability": 0.9361328125}, {"start": 84.49, "end": 84.67, "word": " من", "probability": 0.95654296875}, {"start": 84.67, "end": 85.15, "word": " الأمثلة", "probability": 0.858154296875}, {"start": 85.15, "end": 85.75, "word": " أعتقد", "probability": 0.8270670572916666}, {"start": 85.75, "end": 87.07, "word": " ستة", "probability": 0.9230143229166666}, {"start": 87.07, "end": 87.79, "word": " أمثلة", "probability": 0.96337890625}, {"start": 87.79, "end": 88.59, "word": " وهذا", "probability": 0.9248046875}, {"start": 88.59, "end": 88.83, "word": " هو", "probability": 0.986328125}, {"start": 88.83, "end": 89.77, "word": " المثال", "probability": 0.9873046875}, {"start": 89.77, "end": 90.89, "word": " السابع", "probability": 0.9158528645833334}], "temperature": 1.0}, {"id": 5, "seek": 11869, "start": 91.43, "end": 118.69, "text": "طيب طبعا هو بيعطينيش two series هو بيعطيني ال series واحدة فقط لا غير وانت بدك تخلق series أخرى من ال series اللي موجودة عندك بهذه ال series المخلقة تكون انت عارفها هل هي converged او diver فلو جينا لل series اللي عندنا هذه مين أقرب series على هذه ال series ممكن اقارن معاها بواحد على interview", "tokens": [9566, 1829, 3555, 23032, 3555, 3615, 995, 31439, 4724, 40228, 9566, 9957, 1829, 8592, 732, 2638, 31439, 4724, 40228, 9566, 9957, 1829, 2423, 2638, 36764, 24401, 3660, 6156, 47432, 20193, 32771, 13546, 4032, 7649, 2655, 47525, 4117, 6055, 9778, 1211, 4587, 2638, 5551, 34740, 7578, 9154, 2423, 2638, 13672, 1829, 3714, 29245, 23328, 3660, 43242, 4117, 39627, 24192, 2423, 2638, 9673, 9778, 1211, 28671, 6055, 30544, 16472, 2655, 6225, 9640, 5172, 11296, 8032, 1211, 39896, 9652, 3004, 1975, 2407, 18558, 6156, 1211, 2407, 10874, 1829, 8315, 24976, 2638, 13672, 1829, 43242, 8315, 29538, 3714, 9957, 5551, 4587, 25513, 2638, 15844, 29538, 2423, 2638, 3714, 43020, 1975, 4587, 9640, 1863, 20449, 995, 11296, 4724, 14407, 24401, 15844, 4049], "avg_logprob": -0.22073622212066488, "compression_ratio": 1.9083333333333334, "no_speech_prob": 0.0, "words": [{"start": 91.43, "end": 91.77, "word": "طيب", "probability": 0.6634928385416666}, {"start": 91.77, "end": 92.13, "word": " طبعا", "probability": 0.8193359375}, {"start": 92.13, "end": 92.29, "word": " هو", "probability": 0.84228515625}, {"start": 92.29, "end": 92.99, "word": " بيعطينيش", "probability": 0.6094156901041666}, {"start": 92.99, "end": 93.23, "word": " two", "probability": 0.66064453125}, {"start": 93.23, "end": 93.69, "word": " series", "probability": 0.9267578125}, {"start": 93.69, "end": 93.87, "word": " هو", "probability": 0.796875}, {"start": 93.87, "end": 94.47, "word": " بيعطيني", "probability": 0.93388671875}, {"start": 94.47, "end": 94.61, "word": " ال", "probability": 0.4013671875}, {"start": 94.61, "end": 94.93, "word": " series", "probability": 0.95849609375}, {"start": 94.93, "end": 95.61, "word": " واحدة", "probability": 0.9510091145833334}, {"start": 95.61, "end": 96.25, "word": " فقط", "probability": 0.975341796875}, {"start": 96.25, "end": 96.55, "word": " لا", "probability": 0.78662109375}, {"start": 96.55, "end": 97.03, "word": " غير", "probability": 0.9912109375}, {"start": 97.03, "end": 98.23, "word": " وانت", "probability": 0.7364095052083334}, {"start": 98.23, "end": 98.69, "word": " بدك", "probability": 0.94091796875}, {"start": 98.69, "end": 99.33, "word": " تخلق", "probability": 0.8670654296875}, {"start": 99.33, "end": 99.87, "word": " series", "probability": 0.8818359375}, {"start": 99.87, "end": 100.55, "word": " أخرى", "probability": 0.8938802083333334}, {"start": 100.55, "end": 100.73, "word": " من", "probability": 0.98876953125}, {"start": 100.73, "end": 100.89, "word": " ال", "probability": 0.97607421875}, {"start": 100.89, "end": 101.17, "word": " series", "probability": 0.97216796875}, {"start": 101.17, "end": 101.41, "word": " اللي", "probability": 0.839111328125}, {"start": 101.41, "end": 101.93, "word": " موجودة", "probability": 0.9793701171875}, {"start": 101.93, "end": 102.39, "word": " عندك", "probability": 0.99267578125}, {"start": 102.39, "end": 103.19, "word": " بهذه", "probability": 0.758056640625}, {"start": 103.19, "end": 103.31, "word": " ال", "probability": 0.96484375}, {"start": 103.31, "end": 103.59, "word": " series", "probability": 0.962890625}, {"start": 103.59, "end": 104.77, "word": " المخلقة", "probability": 0.987548828125}, {"start": 104.77, "end": 105.27, "word": " تكون", "probability": 0.870849609375}, {"start": 105.27, "end": 105.79, "word": " انت", "probability": 0.85498046875}, {"start": 105.79, "end": 106.47, "word": " عارفها", "probability": 0.8680419921875}, {"start": 106.47, "end": 106.95, "word": " هل", "probability": 0.981201171875}, {"start": 106.95, "end": 107.09, "word": " هي", "probability": 0.90478515625}, {"start": 107.09, "end": 107.97, "word": " converged", "probability": 0.5467529296875}, {"start": 107.97, "end": 108.47, "word": " او", "probability": 0.850830078125}, {"start": 108.47, "end": 109.03, "word": " diver", "probability": 0.2174072265625}, {"start": 109.03, "end": 110.01, "word": " فلو", "probability": 0.783203125}, {"start": 110.01, "end": 110.31, "word": " جينا", "probability": 0.9191080729166666}, {"start": 110.31, "end": 110.53, "word": " لل", "probability": 0.787109375}, {"start": 110.53, "end": 110.85, "word": " series", "probability": 0.97119140625}, {"start": 110.85, "end": 111.17, "word": " اللي", "probability": 0.955078125}, {"start": 111.17, "end": 111.59, "word": " عندنا", "probability": 0.89306640625}, {"start": 111.59, "end": 111.89, "word": " هذه", "probability": 0.60107421875}, {"start": 111.89, "end": 112.91, "word": " مين", "probability": 0.829345703125}, {"start": 112.91, "end": 113.57, "word": " أقرب", "probability": 0.9070638020833334}, {"start": 113.57, "end": 114.09, "word": " series", "probability": 0.93017578125}, {"start": 114.09, "end": 114.33, "word": " على", "probability": 0.8828125}, {"start": 114.33, "end": 114.71, "word": " هذه", "probability": 0.95849609375}, {"start": 114.71, "end": 114.87, "word": " ال", "probability": 0.92529296875}, {"start": 114.87, "end": 115.15, "word": " series", "probability": 0.9560546875}, {"start": 115.15, "end": 115.59, "word": " ممكن", "probability": 0.972900390625}, {"start": 115.59, "end": 116.15, "word": " اقارن", "probability": 0.90087890625}, {"start": 116.15, "end": 116.81, "word": " معاها", "probability": 0.9596354166666666}, {"start": 116.81, "end": 117.87, "word": " بواحد", "probability": 0.7294514973958334}, {"start": 117.87, "end": 118.15, "word": " على", "probability": 0.8876953125}, {"start": 118.15, "end": 118.69, "word": " interview", "probability": 0.1572265625}], "temperature": 1.0}, {"id": 6, "seek": 13334, "start": 119.08, "end": 133.34, "text": "يبقى انا عندى summation 1 على N تربيع من N equal one to infinity هدى converge ب سيرز السبب because", "tokens": [1829, 3555, 4587, 7578, 1975, 8315, 43242, 7578, 28811, 502, 15844, 426, 6055, 2288, 21292, 3615, 9154, 426, 2681, 472, 281, 13202, 8032, 3215, 7578, 41881, 4724, 8608, 13546, 11622, 21136, 3555, 3555, 570], "avg_logprob": -0.33839284692491806, "compression_ratio": 1.0731707317073171, "no_speech_prob": 0.0, "words": [{"start": 119.08, "end": 119.84, "word": "يبقى", "probability": 0.8580322265625}, {"start": 119.84, "end": 120.14, "word": " انا", "probability": 0.6798095703125}, {"start": 120.14, "end": 120.7, "word": " عندى", "probability": 0.6871337890625}, {"start": 120.7, "end": 121.22, "word": " summation", "probability": 0.405029296875}, {"start": 121.22, "end": 122.12, "word": " 1", "probability": 0.70458984375}, {"start": 122.12, "end": 122.64, "word": " على", "probability": 0.5068359375}, {"start": 122.64, "end": 122.96, "word": " N", "probability": 0.55029296875}, {"start": 122.96, "end": 123.58, "word": " تربيع", "probability": 0.81671142578125}, {"start": 123.58, "end": 123.8, "word": " من", "probability": 0.9697265625}, {"start": 123.8, "end": 124.16, "word": " N", "probability": 0.86962890625}, {"start": 124.16, "end": 124.6, "word": " equal", "probability": 0.292236328125}, {"start": 124.6, "end": 124.98, "word": " one", "probability": 0.537109375}, {"start": 124.98, "end": 125.22, "word": " to", "probability": 0.9521484375}, {"start": 125.22, "end": 125.96, "word": " infinity", "probability": 0.845703125}, {"start": 125.96, "end": 127.06, "word": " هدى", "probability": 0.72265625}, {"start": 127.06, "end": 128.22, "word": " converge", "probability": 0.7744140625}, {"start": 128.22, "end": 128.76, "word": " ب", "probability": 0.91064453125}, {"start": 128.76, "end": 130.62, "word": " سيرز", "probability": 0.5553385416666666}, {"start": 130.62, "end": 132.42, "word": " السبب", "probability": 0.9327799479166666}, {"start": 132.42, "end": 133.34, "word": " because", "probability": 0.5146484375}], "temperature": 1.0}, {"id": 7, "seek": 16327, "start": 136.13, "end": 163.27, "text": "ان P يسوى 2 أكبر من الواحد الصحيح طيب بدأت أخد الان اللي هو tan ال N على N تربيع بدأ أشوف شو علاقتها بواحد على N تربيع tan X أكبر قيمة ممكن تاخدها لما X تكبر أو ال N تكبر و تروح لما لنهايه وجداش", "tokens": [7649, 430, 7251, 3794, 2407, 7578, 568, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 23032, 1829, 3555, 47525, 10721, 2655, 5551, 9778, 3215, 2423, 7649, 13672, 1829, 31439, 7603, 2423, 426, 15844, 426, 6055, 2288, 21292, 3615, 47525, 10721, 5551, 8592, 38688, 13412, 2407, 11203, 995, 38149, 11296, 4724, 14407, 24401, 15844, 426, 6055, 2288, 21292, 3615, 7603, 1783, 5551, 4117, 26890, 12174, 32640, 3660, 3714, 43020, 6055, 47283, 3215, 11296, 5296, 15042, 1783, 6055, 4117, 26890, 34051, 2423, 426, 6055, 4117, 26890, 4032, 6055, 32887, 5016, 5296, 15042, 5296, 1863, 11296, 1829, 3224, 49610, 3215, 33599], "avg_logprob": -0.3419117734712713, "compression_ratio": 1.7593582887700534, "no_speech_prob": 0.0, "words": [{"start": 136.13, "end": 136.51, "word": "ان", "probability": 0.064453125}, {"start": 136.51, "end": 136.91, "word": " P", "probability": 0.7041015625}, {"start": 136.91, "end": 137.61, "word": " يسوى", "probability": 0.5843505859375}, {"start": 137.61, "end": 138.09, "word": " 2", "probability": 0.73681640625}, {"start": 138.09, "end": 138.81, "word": " أكبر", "probability": 0.8009440104166666}, {"start": 138.81, "end": 138.99, "word": " من", "probability": 0.9453125}, {"start": 138.99, "end": 139.47, "word": " الواحد", "probability": 0.6219075520833334}, {"start": 139.47, "end": 140.09, "word": " الصحيح", "probability": 0.874267578125}, {"start": 140.09, "end": 141.37, "word": " طيب", "probability": 0.719970703125}, {"start": 141.37, "end": 142.01, "word": " بدأت", "probability": 0.3101399739583333}, {"start": 142.01, "end": 142.45, "word": " أخد", "probability": 0.576416015625}, {"start": 142.45, "end": 143.11, "word": " الان", "probability": 0.6048583984375}, {"start": 143.11, "end": 143.67, "word": " اللي", "probability": 0.8642578125}, {"start": 143.67, "end": 144.01, "word": " هو", "probability": 0.95068359375}, {"start": 144.01, "end": 144.95, "word": " tan", "probability": 0.45654296875}, {"start": 144.95, "end": 145.89, "word": " ال", "probability": 0.11773681640625}, {"start": 145.89, "end": 146.47, "word": " N", "probability": 0.796875}, {"start": 146.47, "end": 147.43, "word": " على", "probability": 0.6796875}, {"start": 147.43, "end": 147.91, "word": " N", "probability": 0.927734375}, {"start": 147.91, "end": 148.45, "word": " تربيع", "probability": 0.81494140625}, {"start": 148.45, "end": 149.15, "word": " بدأ", "probability": 0.6405029296875}, {"start": 149.15, "end": 149.35, "word": " أشوف", "probability": 0.8483072916666666}, {"start": 149.35, "end": 149.75, "word": " شو", "probability": 0.911376953125}, {"start": 149.75, "end": 150.61, "word": " علاقتها", "probability": 0.9503173828125}, {"start": 150.61, "end": 151.31, "word": " بواحد", "probability": 0.7311197916666666}, {"start": 151.31, "end": 151.77, "word": " على", "probability": 0.84814453125}, {"start": 151.77, "end": 152.31, "word": " N", "probability": 0.87548828125}, {"start": 152.31, "end": 153.19, "word": " تربيع", "probability": 0.9473876953125}, {"start": 153.19, "end": 154.19, "word": " tan", "probability": 0.84912109375}, {"start": 154.19, "end": 155.19, "word": " X", "probability": 0.59814453125}, {"start": 155.19, "end": 156.53, "word": " أكبر", "probability": 0.9345703125}, {"start": 156.53, "end": 157.05, "word": " قيمة", "probability": 0.8616536458333334}, {"start": 157.05, "end": 157.61, "word": " ممكن", "probability": 0.984375}, {"start": 157.61, "end": 158.41, "word": " تاخدها", "probability": 0.946044921875}, {"start": 158.41, "end": 158.83, "word": " لما", "probability": 0.865966796875}, {"start": 158.83, "end": 159.77, "word": " X", "probability": 0.63671875}, {"start": 159.77, "end": 160.27, "word": " تكبر", "probability": 0.9638671875}, {"start": 160.27, "end": 160.45, "word": " أو", "probability": 0.5205078125}, {"start": 160.45, "end": 160.59, "word": " ال", "probability": 0.54638671875}, {"start": 160.59, "end": 160.87, "word": " N", "probability": 0.94482421875}, {"start": 160.87, "end": 161.23, "word": " تكبر", "probability": 0.9856770833333334}, {"start": 161.23, "end": 161.37, "word": " و", "probability": 0.334716796875}, {"start": 161.37, "end": 161.63, "word": " تروح", "probability": 0.9697265625}, {"start": 161.63, "end": 161.95, "word": " لما", "probability": 0.58935546875}, {"start": 161.95, "end": 162.49, "word": " لنهايه", "probability": 0.702294921875}, {"start": 162.49, "end": 163.27, "word": " وجداش", "probability": 0.6692708333333334}], "temperature": 1.0}, {"id": 8, "seek": 18101, "start": 163.79, "end": 181.01, "text": "إذا دائما و أبدا أقل من مين؟ أقل من الواحد على ان تربية، مادام أقل من الواحد على ان تربية يبقى بناء عليه الواحد على ان تربية، قولنا أنها converge series", "tokens": [28814, 15730, 11778, 16373, 15042, 4032, 5551, 3555, 28259, 5551, 4587, 1211, 9154, 3714, 9957, 22807, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 15844, 16472, 6055, 25513, 10632, 12399, 3714, 18513, 10943, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 15844, 16472, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 2423, 14407, 24401, 15844, 16472, 6055, 25513, 10632, 12399, 12174, 12610, 8315, 14739, 11296, 41881, 2638], "avg_logprob": -0.17095588651650093, "compression_ratio": 1.911764705882353, "no_speech_prob": 0.0, "words": [{"start": 163.79, "end": 164.31, "word": "إذا", "probability": 0.616943359375}, {"start": 164.31, "end": 164.91, "word": " دائما", "probability": 0.9560546875}, {"start": 164.91, "end": 165.11, "word": " و", "probability": 0.74951171875}, {"start": 165.11, "end": 165.71, "word": " أبدا", "probability": 0.8271484375}, {"start": 165.71, "end": 166.83, "word": " أقل", "probability": 0.9734700520833334}, {"start": 166.83, "end": 167.09, "word": " من", "probability": 0.98681640625}, {"start": 167.09, "end": 168.01, "word": " مين؟", "probability": 0.74560546875}, {"start": 168.01, "end": 168.57, "word": " أقل", "probability": 0.9739583333333334}, {"start": 168.57, "end": 168.81, "word": " من", "probability": 0.99658203125}, {"start": 168.81, "end": 169.55, "word": " الواحد", "probability": 0.966796875}, {"start": 169.55, "end": 170.11, "word": " على", "probability": 0.8828125}, {"start": 170.11, "end": 170.81, "word": " ان", "probability": 0.5439453125}, {"start": 170.81, "end": 171.99, "word": " تربية،", "probability": 0.717041015625}, {"start": 171.99, "end": 172.43, "word": " مادام", "probability": 0.80859375}, {"start": 172.43, "end": 173.11, "word": " أقل", "probability": 0.9842122395833334}, {"start": 173.11, "end": 173.31, "word": " من", "probability": 0.9951171875}, {"start": 173.31, "end": 173.95, "word": " الواحد", "probability": 0.9959309895833334}, {"start": 173.95, "end": 174.39, "word": " على", "probability": 0.9375}, {"start": 174.39, "end": 174.93, "word": " ان", "probability": 0.78564453125}, {"start": 174.93, "end": 175.57, "word": " تربية", "probability": 0.9690755208333334}, {"start": 175.57, "end": 176.53, "word": " يبقى", "probability": 0.9378662109375}, {"start": 176.53, "end": 176.99, "word": " بناء", "probability": 0.913818359375}, {"start": 176.99, "end": 177.45, "word": " عليه", "probability": 0.68408203125}, {"start": 177.45, "end": 177.93, "word": " الواحد", "probability": 0.99365234375}, {"start": 177.93, "end": 178.15, "word": " على", "probability": 0.94189453125}, {"start": 178.15, "end": 178.39, "word": " ان", "probability": 0.8388671875}, {"start": 178.39, "end": 178.93, "word": " تربية،", "probability": 0.82928466796875}, {"start": 178.93, "end": 179.29, "word": " قولنا", "probability": 0.6946614583333334}, {"start": 179.29, "end": 179.67, "word": " أنها", "probability": 0.717041015625}, {"start": 179.67, "end": 180.25, "word": " converge", "probability": 0.64111328125}, {"start": 180.25, "end": 181.01, "word": " series", "probability": 0.89208984375}], "temperature": 1.0}, {"id": 9, "seek": 20702, "start": 181.44, "end": 207.02, "text": "يبقى اللي أقل منها بتبقى converge بروح بقوله by the comparison test the series summation اللي هو اللي تانشر N على ان تربيها converge وانتهينا من المثلة السؤال الثامن", "tokens": [1829, 3555, 4587, 7578, 13672, 1829, 5551, 4587, 1211, 9154, 11296, 39894, 3555, 4587, 7578, 41881, 4724, 32887, 5016, 4724, 39648, 3224, 538, 264, 9660, 1500, 264, 2638, 28811, 13672, 1829, 31439, 13672, 1829, 6055, 7649, 46309, 426, 15844, 16472, 6055, 2288, 21292, 11296, 41881, 4032, 7649, 47395, 1829, 8315, 9154, 9673, 12984, 37977, 21136, 33604, 6027, 6024, 104, 10943, 1863], "avg_logprob": -0.24722781008289707, "compression_ratio": 1.4761904761904763, "no_speech_prob": 0.0, "words": [{"start": 181.44, "end": 181.94, "word": "يبقى", "probability": 0.759033203125}, {"start": 181.94, "end": 182.08, "word": " اللي", "probability": 0.548828125}, {"start": 182.08, "end": 182.76, "word": " أقل", "probability": 0.8997395833333334}, {"start": 182.76, "end": 183.42, "word": " منها", "probability": 0.989990234375}, {"start": 183.42, "end": 184.46, "word": " بتبقى", "probability": 0.7979736328125}, {"start": 184.46, "end": 185.22, "word": " converge", "probability": 0.1907958984375}, {"start": 185.22, "end": 186.18, "word": " بروح", "probability": 0.9443359375}, {"start": 186.18, "end": 186.98, "word": " بقوله", "probability": 0.6663411458333334}, {"start": 186.98, "end": 187.56, "word": " by", "probability": 0.59912109375}, {"start": 187.56, "end": 188.72, "word": " the", "probability": 0.82275390625}, {"start": 188.72, "end": 190.22, "word": " comparison", "probability": 0.9345703125}, {"start": 190.22, "end": 191.3, "word": " test", "probability": 0.9384765625}, {"start": 191.3, "end": 192.0, "word": " the", "probability": 0.65673828125}, {"start": 192.0, "end": 193.22, "word": " series", "probability": 0.89306640625}, {"start": 193.22, "end": 194.78, "word": " summation", "probability": 0.87353515625}, {"start": 194.78, "end": 195.9, "word": " اللي", "probability": 0.969482421875}, {"start": 195.9, "end": 196.1, "word": " هو", "probability": 0.7919921875}, {"start": 196.1, "end": 196.34, "word": " اللي", "probability": 0.979736328125}, {"start": 196.34, "end": 197.52, "word": " تانشر", "probability": 0.709228515625}, {"start": 197.52, "end": 198.12, "word": " N", "probability": 0.59619140625}, {"start": 198.12, "end": 199.04, "word": " على", "probability": 0.8427734375}, {"start": 199.04, "end": 199.56, "word": " ان", "probability": 0.422607421875}, {"start": 199.56, "end": 200.38, "word": " تربيها", "probability": 0.63800048828125}, {"start": 200.38, "end": 201.5, "word": " converge", "probability": 0.82861328125}, {"start": 201.5, "end": 202.44, "word": " وانتهينا", "probability": 0.96201171875}, {"start": 202.44, "end": 202.9, "word": " من", "probability": 0.98828125}, {"start": 202.9, "end": 204.36, "word": " المثلة", "probability": 0.8655598958333334}, {"start": 204.36, "end": 206.26, "word": " السؤال", "probability": 0.9679361979166666}, {"start": 206.26, "end": 207.02, "word": " الثامن", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 10, "seek": 22600, "start": 208.08, "end": 226.0, "text": "تمانية بيقول لي summation من N equal one to infinity لل N زائد اتنين أس N على N ترابيع في اتنين أس N", "tokens": [39237, 7649, 10632, 4724, 1829, 39648, 32239, 28811, 9154, 426, 2681, 472, 281, 13202, 24976, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 5551, 3794, 426, 15844, 426, 6055, 2288, 16758, 40228, 8978, 1975, 2655, 1863, 9957, 5551, 3794, 426], "avg_logprob": -0.2839176829268293, "compression_ratio": 1.1967213114754098, "no_speech_prob": 0.0, "words": [{"start": 208.08, "end": 208.92, "word": "تمانية", "probability": 0.6964518229166666}, {"start": 208.92, "end": 209.84, "word": " بيقول", "probability": 0.8291015625}, {"start": 209.84, "end": 210.08, "word": " لي", "probability": 0.0970458984375}, {"start": 210.08, "end": 210.96, "word": " summation", "probability": 0.759765625}, {"start": 210.96, "end": 212.26, "word": " من", "probability": 0.94677734375}, {"start": 212.26, "end": 212.86, "word": " N", "probability": 0.463623046875}, {"start": 212.86, "end": 214.18, "word": " equal", "probability": 0.5576171875}, {"start": 214.18, "end": 214.76, "word": " one", "probability": 0.7978515625}, {"start": 214.76, "end": 215.12, "word": " to", "probability": 0.955078125}, {"start": 215.12, "end": 216.24, "word": " infinity", "probability": 0.85888671875}, {"start": 216.24, "end": 217.32, "word": " لل", "probability": 0.61376953125}, {"start": 217.32, "end": 217.92, "word": " N", "probability": 0.763671875}, {"start": 217.92, "end": 219.12, "word": " زائد", "probability": 0.7841796875}, {"start": 219.12, "end": 219.9, "word": " اتنين", "probability": 0.9334716796875}, {"start": 219.9, "end": 220.4, "word": " أس", "probability": 0.4981689453125}, {"start": 220.4, "end": 220.92, "word": " N", "probability": 0.88134765625}, {"start": 220.92, "end": 222.0, "word": " على", "probability": 0.763671875}, {"start": 222.0, "end": 222.6, "word": " N", "probability": 0.80615234375}, {"start": 222.6, "end": 223.44, "word": " ترابيع", "probability": 0.921875}, {"start": 223.44, "end": 224.16, "word": " في", "probability": 0.767578125}, {"start": 224.16, "end": 224.96, "word": " اتنين", "probability": 0.961181640625}, {"start": 224.96, "end": 225.64, "word": " أس", "probability": 0.965576171875}, {"start": 225.64, "end": 226.0, "word": " N", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 11, "seek": 25286, "start": 231.78, "end": 252.86, "text": "بنروح ناخد الحد النوني في هذه ال series يبدأ الحد النوني في هذه ال series اللي هو مين N زائد 2 أس N على N ترابيع في ال 2 أس N السؤال هو مين اللي أكبر ال N ملة 2 أس N", "tokens": [3555, 1863, 32887, 5016, 8717, 47283, 3215, 21542, 3215, 28239, 11536, 1829, 8978, 29538, 2423, 2638, 7251, 44510, 10721, 21542, 3215, 28239, 11536, 1829, 8978, 29538, 2423, 2638, 13672, 1829, 31439, 3714, 9957, 426, 30767, 16373, 3215, 568, 5551, 3794, 426, 15844, 426, 6055, 2288, 16758, 40228, 8978, 2423, 568, 5551, 3794, 426, 21136, 33604, 6027, 31439, 3714, 9957, 13672, 1829, 5551, 4117, 26890, 2423, 426, 3714, 37977, 568, 5551, 3794, 426], "avg_logprob": -0.22260274299203534, "compression_ratio": 1.8356164383561644, "no_speech_prob": 0.0, "words": [{"start": 231.78, "end": 232.4, "word": "بنروح", "probability": 0.512603759765625}, {"start": 232.4, "end": 232.78, "word": " ناخد", "probability": 0.9490559895833334}, {"start": 232.78, "end": 233.24, "word": " الحد", "probability": 0.98583984375}, {"start": 233.24, "end": 233.68, "word": " النوني", "probability": 0.80712890625}, {"start": 233.68, "end": 233.86, "word": " في", "probability": 0.91015625}, {"start": 233.86, "end": 234.26, "word": " هذه", "probability": 0.93701171875}, {"start": 234.26, "end": 234.44, "word": " ال", "probability": 0.87646484375}, {"start": 234.44, "end": 234.8, "word": " series", "probability": 0.8310546875}, {"start": 234.8, "end": 235.84, "word": " يبدأ", "probability": 0.8743489583333334}, {"start": 235.84, "end": 236.34, "word": " الحد", "probability": 0.984619140625}, {"start": 236.34, "end": 236.94, "word": " النوني", "probability": 0.9503580729166666}, {"start": 236.94, "end": 237.14, "word": " في", "probability": 0.947265625}, {"start": 237.14, "end": 237.5, "word": " هذه", "probability": 0.9658203125}, {"start": 237.5, "end": 237.68, "word": " ال", "probability": 0.9755859375}, {"start": 237.68, "end": 237.94, "word": " series", "probability": 0.95751953125}, {"start": 237.94, "end": 238.12, "word": " اللي", "probability": 0.8154296875}, {"start": 238.12, "end": 238.3, "word": " هو", "probability": 0.93603515625}, {"start": 238.3, "end": 238.62, "word": " مين", "probability": 0.57427978515625}, {"start": 238.62, "end": 239.24, "word": " N", "probability": 0.1513671875}, {"start": 239.24, "end": 240.46, "word": " زائد", "probability": 0.7452799479166666}, {"start": 240.46, "end": 241.1, "word": " 2", "probability": 0.86962890625}, {"start": 241.1, "end": 241.6, "word": " أس", "probability": 0.572509765625}, {"start": 241.6, "end": 242.08, "word": " N", "probability": 0.9736328125}, {"start": 242.08, "end": 243.02, "word": " على", "probability": 0.7265625}, {"start": 243.02, "end": 243.54, "word": " N", "probability": 0.94189453125}, {"start": 243.54, "end": 244.3, "word": " ترابيع", "probability": 0.856689453125}, {"start": 244.3, "end": 244.76, "word": " في", "probability": 0.60888671875}, {"start": 244.76, "end": 244.84, "word": " ال", "probability": 0.5849609375}, {"start": 244.84, "end": 245.68, "word": " 2", "probability": 0.720703125}, {"start": 245.68, "end": 246.48, "word": " أس", "probability": 0.9794921875}, {"start": 246.48, "end": 246.94, "word": " N", "probability": 0.98583984375}, {"start": 246.94, "end": 248.3, "word": " السؤال", "probability": 0.890625}, {"start": 248.3, "end": 248.64, "word": " هو", "probability": 0.986328125}, {"start": 248.64, "end": 249.62, "word": " مين", "probability": 0.891845703125}, {"start": 249.62, "end": 249.84, "word": " اللي", "probability": 0.981201171875}, {"start": 249.84, "end": 250.36, "word": " أكبر", "probability": 0.9807942708333334}, {"start": 250.36, "end": 250.92, "word": " ال", "probability": 0.79296875}, {"start": 250.92, "end": 251.22, "word": " N", "probability": 0.91064453125}, {"start": 251.22, "end": 251.58, "word": " ملة", "probability": 0.673095703125}, {"start": 251.58, "end": 251.98, "word": " 2", "probability": 0.97705078125}, {"start": 251.98, "end": 252.44, "word": " أس", "probability": 0.98681640625}, {"start": 252.44, "end": 252.86, "word": " N", "probability": 0.9921875}], "temperature": 1.0}, {"id": 12, "seek": 26848, "start": 254.92, "end": 268.48, "text": "إن أكبر من اتنين أس إن؟ لما ال M بيبقى تروح للمالة نهائية، لأن اتنين أس M هي الأكبر دائما و أقلها، حط ان بواحد، بيصير هذه واحدة وهذه اتنين", "tokens": [28814, 1863, 5551, 4117, 26890, 9154, 1975, 2655, 1863, 9957, 5551, 3794, 11933, 1863, 22807, 5296, 15042, 2423, 376, 4724, 1829, 3555, 4587, 7578, 6055, 32887, 5016, 5296, 19528, 6027, 3660, 8717, 3224, 16373, 10632, 12399, 5296, 33456, 1975, 2655, 1863, 9957, 5551, 3794, 376, 39896, 16247, 4117, 26890, 11778, 16373, 15042, 4032, 5551, 4587, 1211, 11296, 12399, 11331, 9566, 16472, 4724, 14407, 24401, 12399, 4724, 1829, 9381, 13546, 29538, 36764, 24401, 3660, 37037, 24192, 1975, 2655, 1863, 9957], "avg_logprob": -0.3390625033527613, "compression_ratio": 1.6666666666666667, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 254.92000000000002, "end": 255.68, "word": "إن", "probability": 0.5787353515625}, {"start": 255.68, "end": 256.18, "word": " أكبر", "probability": 0.9454752604166666}, {"start": 256.18, "end": 256.36, "word": " من", "probability": 0.986328125}, {"start": 256.36, "end": 256.72, "word": " اتنين", "probability": 0.836669921875}, {"start": 256.72, "end": 257.0, "word": " أس", "probability": 0.6748046875}, {"start": 257.0, "end": 257.74, "word": " إن؟", "probability": 0.2984212239583333}, {"start": 257.74, "end": 258.8, "word": " لما", "probability": 0.6224365234375}, {"start": 258.8, "end": 259.0, "word": " ال", "probability": 0.93408203125}, {"start": 259.0, "end": 259.32, "word": " M", "probability": 0.38671875}, {"start": 259.32, "end": 259.68, "word": " بيبقى", "probability": 0.722509765625}, {"start": 259.68, "end": 260.06, "word": " تروح", "probability": 0.9773763020833334}, {"start": 260.06, "end": 260.66, "word": " للمالة", "probability": 0.76263427734375}, {"start": 260.66, "end": 261.04, "word": " نهائية،", "probability": 0.693896484375}, {"start": 261.04, "end": 261.28, "word": " لأن", "probability": 0.5155029296875}, {"start": 261.28, "end": 261.68, "word": " اتنين", "probability": 0.9346923828125}, {"start": 261.68, "end": 262.12, "word": " أس", "probability": 0.96728515625}, {"start": 262.12, "end": 262.5, "word": " M", "probability": 0.576171875}, {"start": 262.5, "end": 263.18, "word": " هي", "probability": 0.9404296875}, {"start": 263.18, "end": 264.0, "word": " الأكبر", "probability": 0.9615885416666666}, {"start": 264.0, "end": 264.64, "word": " دائما", "probability": 0.9498697916666666}, {"start": 264.64, "end": 264.82, "word": " و", "probability": 0.83349609375}, {"start": 264.82, "end": 265.2, "word": " أقلها،", "probability": 0.59501953125}, {"start": 265.2, "end": 265.58, "word": " حط", "probability": 0.630615234375}, {"start": 265.58, "end": 265.8, "word": " ان", "probability": 0.284423828125}, {"start": 265.8, "end": 266.66, "word": " بواحد،", "probability": 0.9456787109375}, {"start": 266.66, "end": 267.04, "word": " بيصير", "probability": 0.6920166015625}, {"start": 267.04, "end": 267.26, "word": " هذه", "probability": 0.6259765625}, {"start": 267.26, "end": 267.68, "word": " واحدة", "probability": 0.89990234375}, {"start": 267.68, "end": 267.98, "word": " وهذه", "probability": 0.739990234375}, {"start": 267.98, "end": 268.48, "word": " اتنين", "probability": 0.9576416015625}], "temperature": 1.0}, {"id": 13, "seek": 28883, "start": 268.95, "end": 288.83, "text": "حُط اتنين بصير اتنين و اتنين ترابيع، حُط تلاتة بصير تلاتة و اتنين تكعيب، حُط اربعة بصير اتنين و اتنين ساربعة، يبقى فرق شاسع ما بين الاتنين، يبقى اذا اللي .. بدي اعتبرها دي مش موجودة، بضل كدهش، لأن السن هي اللي بتتحكم في البطء", "tokens": [5016, 10859, 9566, 1975, 2655, 1863, 9957, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 4032, 1975, 2655, 1863, 9957, 6055, 2288, 16758, 40228, 12399, 11331, 10859, 9566, 6055, 1211, 9307, 3660, 4724, 9381, 13546, 6055, 1211, 9307, 3660, 4032, 1975, 2655, 1863, 9957, 6055, 4117, 3615, 1829, 3555, 12399, 11331, 10859, 9566, 1975, 25513, 27884, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 4032, 1975, 2655, 1863, 9957, 8608, 9640, 3555, 27884, 12399, 7251, 3555, 4587, 7578, 6156, 2288, 4587, 13412, 32277, 3615, 19446, 49374, 2423, 9307, 1863, 9957, 12399, 7251, 3555, 4587, 7578, 1975, 15730, 13672, 1829, 4386, 4724, 16254, 1975, 34268, 26890, 11296, 11778, 1829, 37893, 3714, 29245, 23328, 3660, 12399, 4724, 11242, 1211, 9122, 3215, 3224, 8592, 12399, 5296, 33456, 21136, 1863, 39896, 13672, 1829, 39894, 2655, 5016, 24793, 8978, 29739, 9566, 38207], "avg_logprob": -0.1996783073991537, "compression_ratio": 2.115183246073298, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 268.95, "end": 269.43, "word": "حُط", "probability": 0.576904296875}, {"start": 269.43, "end": 269.91, "word": " اتنين", "probability": 0.8717041015625}, {"start": 269.91, "end": 270.29, "word": " بصير", "probability": 0.8753255208333334}, {"start": 270.29, "end": 270.75, "word": " اتنين", "probability": 0.984375}, {"start": 270.75, "end": 270.85, "word": " و", "probability": 0.8603515625}, {"start": 270.85, "end": 271.27, "word": " اتنين", "probability": 0.9490966796875}, {"start": 271.27, "end": 272.15, "word": " ترابيع،", "probability": 0.728271484375}, {"start": 272.15, "end": 272.77, "word": " حُط", "probability": 0.9671223958333334}, {"start": 272.77, "end": 273.21, "word": " تلاتة", "probability": 0.891845703125}, {"start": 273.21, "end": 273.67, "word": " بصير", "probability": 0.98828125}, {"start": 273.67, "end": 274.25, "word": " تلاتة", "probability": 0.9853515625}, {"start": 274.25, "end": 274.33, "word": " و", "probability": 0.955078125}, {"start": 274.33, "end": 274.71, "word": " اتنين", "probability": 0.9759521484375}, {"start": 274.71, "end": 275.47, "word": " تكعيب،", "probability": 0.8058675130208334}, {"start": 275.47, "end": 275.95, "word": " حُط", "probability": 0.9825846354166666}, {"start": 275.95, "end": 276.37, "word": " اربعة", "probability": 0.81884765625}, {"start": 276.37, "end": 276.71, "word": " بصير", "probability": 0.99169921875}, {"start": 276.71, "end": 277.11, "word": " اتنين", "probability": 0.99267578125}, {"start": 277.11, "end": 277.23, "word": " و", "probability": 0.92822265625}, {"start": 277.23, "end": 277.41, "word": " اتنين", "probability": 0.76983642578125}, {"start": 277.41, "end": 277.81, "word": " ساربعة،", "probability": 0.62353515625}, {"start": 277.81, "end": 278.13, "word": " يبقى", "probability": 0.9351806640625}, {"start": 278.13, "end": 278.65, "word": " فرق", "probability": 0.96923828125}, {"start": 278.65, "end": 279.47, "word": " شاسع", "probability": 0.9869791666666666}, {"start": 279.47, "end": 279.99, "word": " ما", "probability": 0.80810546875}, {"start": 279.99, "end": 280.29, "word": " بين", "probability": 0.99609375}, {"start": 280.29, "end": 281.25, "word": " الاتنين،", "probability": 0.7900390625}, {"start": 281.25, "end": 281.87, "word": " يبقى", "probability": 0.9822998046875}, {"start": 281.87, "end": 282.21, "word": " اذا", "probability": 0.6834716796875}, {"start": 282.21, "end": 282.67, "word": " اللي", "probability": 0.57373046875}, {"start": 282.67, "end": 282.75, "word": " ..", "probability": 0.52099609375}, {"start": 282.75, "end": 283.11, "word": " بدي", "probability": 0.6800537109375}, {"start": 283.11, "end": 283.73, "word": " اعتبرها", "probability": 0.7353515625}, {"start": 283.73, "end": 283.89, "word": " دي", "probability": 0.935546875}, {"start": 283.89, "end": 284.13, "word": " مش", "probability": 0.98095703125}, {"start": 284.13, "end": 284.75, "word": " موجودة،", "probability": 0.96240234375}, {"start": 284.75, "end": 285.01, "word": " بضل", "probability": 0.7771809895833334}, {"start": 285.01, "end": 286.15, "word": " كدهش،", "probability": 0.734033203125}, {"start": 286.15, "end": 286.73, "word": " لأن", "probability": 0.65869140625}, {"start": 286.73, "end": 287.11, "word": " السن", "probability": 0.719970703125}, {"start": 287.11, "end": 287.25, "word": " هي", "probability": 0.85205078125}, {"start": 287.25, "end": 287.37, "word": " اللي", "probability": 0.988037109375}, {"start": 287.37, "end": 288.11, "word": " بتتحكم", "probability": 0.983642578125}, {"start": 288.11, "end": 288.31, "word": " في", "probability": 0.9541015625}, {"start": 288.31, "end": 288.83, "word": " البطء", "probability": 0.6427408854166666}], "temperature": 1.0}, {"id": 14, "seek": 31764, "start": 289.13, "end": 317.65, "text": "أظن ممكن نختصرها ان اتبعت المقام بضل جديد اقل من يبقى هذه اقل من وهذا الكثر وهذه N تربية وهذه اتنين أس N يبقى هذي للبس يبقى بدنا نشيل ال N ونكتب بس اتنين أس N صحيح", "tokens": [10721, 19913, 1863, 3714, 43020, 8717, 46456, 9381, 2288, 11296, 16472, 1975, 2655, 3555, 34268, 9673, 4587, 10943, 4724, 11242, 1211, 10874, 16254, 3215, 1975, 4587, 1211, 9154, 7251, 3555, 4587, 7578, 29538, 1975, 4587, 1211, 9154, 37037, 15730, 33251, 49115, 37037, 24192, 426, 6055, 25513, 10632, 37037, 24192, 1975, 2655, 1863, 9957, 5551, 3794, 426, 7251, 3555, 4587, 7578, 8032, 8848, 1829, 24976, 3555, 3794, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 8592, 26895, 2423, 426, 4032, 1863, 4117, 2655, 3555, 4724, 3794, 1975, 2655, 1863, 9957, 5551, 3794, 426, 20328, 5016, 1829, 5016], "avg_logprob": -0.33268228483696777, "compression_ratio": 1.8101265822784811, "no_speech_prob": 0.0, "words": [{"start": 289.13, "end": 289.53, "word": "أظن", "probability": 0.710693359375}, {"start": 289.53, "end": 289.87, "word": " ممكن", "probability": 0.572998046875}, {"start": 289.87, "end": 290.53, "word": " نختصرها", "probability": 0.853125}, {"start": 290.53, "end": 290.69, "word": " ان", "probability": 0.20751953125}, {"start": 290.69, "end": 291.19, "word": " اتبعت", "probability": 0.6121826171875}, {"start": 291.19, "end": 291.61, "word": " المقام", "probability": 0.9588216145833334}, {"start": 291.61, "end": 291.95, "word": " بضل", "probability": 0.6370442708333334}, {"start": 291.95, "end": 292.89, "word": " جديد", "probability": 0.84423828125}, {"start": 292.89, "end": 299.25, "word": " اقل", "probability": 0.65948486328125}, {"start": 299.25, "end": 299.97, "word": " من", "probability": 0.96630859375}, {"start": 299.97, "end": 301.31, "word": " يبقى", "probability": 0.8184814453125}, {"start": 301.31, "end": 301.81, "word": " هذه", "probability": 0.53271484375}, {"start": 301.81, "end": 302.77, "word": " اقل", "probability": 0.93505859375}, {"start": 302.77, "end": 303.21, "word": " من", "probability": 0.99365234375}, {"start": 303.21, "end": 304.09, "word": " وهذا", "probability": 0.765625}, {"start": 304.09, "end": 304.79, "word": " الكثر", "probability": 0.6539306640625}, {"start": 304.79, "end": 305.63, "word": " وهذه", "probability": 0.85791015625}, {"start": 305.63, "end": 306.19, "word": " N", "probability": 0.454345703125}, {"start": 306.19, "end": 306.91, "word": " تربية", "probability": 0.859375}, {"start": 306.91, "end": 307.89, "word": " وهذه", "probability": 0.877685546875}, {"start": 307.89, "end": 308.69, "word": " اتنين", "probability": 0.80133056640625}, {"start": 308.69, "end": 309.29, "word": " أس", "probability": 0.45458984375}, {"start": 309.29, "end": 309.81, "word": " N", "probability": 0.85009765625}, {"start": 309.81, "end": 310.97, "word": " يبقى", "probability": 0.737579345703125}, {"start": 310.97, "end": 311.15, "word": " هذي", "probability": 0.5171305338541666}, {"start": 311.15, "end": 311.75, "word": " للبس", "probability": 0.9607747395833334}, {"start": 311.75, "end": 312.45, "word": " يبقى", "probability": 0.9312744140625}, {"start": 312.45, "end": 312.87, "word": " بدنا", "probability": 0.54083251953125}, {"start": 312.87, "end": 313.45, "word": " نشيل", "probability": 0.9554036458333334}, {"start": 313.45, "end": 313.75, "word": " ال", "probability": 0.94482421875}, {"start": 313.75, "end": 314.05, "word": " N", "probability": 0.86181640625}, {"start": 314.05, "end": 315.15, "word": " ونكتب", "probability": 0.9138671875}, {"start": 315.15, "end": 315.53, "word": " بس", "probability": 0.896240234375}, {"start": 315.53, "end": 316.23, "word": " اتنين", "probability": 0.9193115234375}, {"start": 316.23, "end": 316.73, "word": " أس", "probability": 0.896240234375}, {"start": 316.73, "end": 317.11, "word": " N", "probability": 0.943359375}, {"start": 317.11, "end": 317.65, "word": " صحيح", "probability": 0.9647216796875}], "temperature": 1.0}, {"id": 15, "seek": 34115, "start": 319.63, "end": 341.15, "text": "غلطة البص أكبر تمام البص أكبر من البصة اللي عندنا هذا بسيطة مشان أجمع الاتنين مع بعض لازم أكتب هذه بدلالة هذه إذا انا لو جيت قلت اتنين قص ان كمان من فعله منفعش من فعليه المين", "tokens": [17082, 1211, 9566, 3660, 29739, 9381, 5551, 4117, 26890, 46811, 10943, 29739, 9381, 5551, 4117, 26890, 9154, 29739, 9381, 3660, 13672, 1829, 43242, 8315, 23758, 4724, 3794, 1829, 9566, 3660, 37893, 7649, 5551, 7435, 2304, 3615, 2423, 9307, 1863, 9957, 20449, 45030, 11242, 5296, 31377, 2304, 5551, 4117, 2655, 3555, 29538, 47525, 1211, 6027, 3660, 29538, 11933, 15730, 1975, 8315, 45164, 10874, 36081, 12174, 1211, 2655, 1975, 2655, 1863, 9957, 12174, 9381, 16472, 9122, 2304, 7649, 9154, 6156, 30241, 3224, 9154, 5172, 3615, 8592, 9154, 6156, 3615, 20292, 3224, 9673, 9957], "avg_logprob": -0.26715354524228885, "compression_ratio": 1.8795180722891567, "no_speech_prob": 0.0, "words": [{"start": 319.63, "end": 320.63, "word": "غلطة", "probability": 0.671630859375}, {"start": 320.63, "end": 321.53, "word": " البص", "probability": 0.5601806640625}, {"start": 321.53, "end": 322.15, "word": " أكبر", "probability": 0.77490234375}, {"start": 322.15, "end": 323.03, "word": " تمام", "probability": 0.790771484375}, {"start": 323.03, "end": 324.13, "word": " البص", "probability": 0.8701171875}, {"start": 324.13, "end": 324.93, "word": " أكبر", "probability": 0.96728515625}, {"start": 324.93, "end": 325.15, "word": " من", "probability": 0.98046875}, {"start": 325.15, "end": 325.65, "word": " البصة", "probability": 0.8116048177083334}, {"start": 325.65, "end": 325.77, "word": " اللي", "probability": 0.765625}, {"start": 325.77, "end": 326.15, "word": " عندنا", "probability": 0.882080078125}, {"start": 326.15, "end": 326.43, "word": " هذا", "probability": 0.37255859375}, {"start": 326.43, "end": 327.37, "word": " بسيطة", "probability": 0.96982421875}, {"start": 327.37, "end": 328.49, "word": " مشان", "probability": 0.616455078125}, {"start": 328.49, "end": 329.15, "word": " أجمع", "probability": 0.9541015625}, {"start": 329.15, "end": 329.77, "word": " الاتنين", "probability": 0.8087158203125}, {"start": 329.77, "end": 330.01, "word": " مع", "probability": 0.98876953125}, {"start": 330.01, "end": 330.39, "word": " بعض", "probability": 0.99560546875}, {"start": 330.39, "end": 331.01, "word": " لازم", "probability": 0.9814453125}, {"start": 331.01, "end": 331.65, "word": " أكتب", "probability": 0.8885498046875}, {"start": 331.65, "end": 332.05, "word": " هذه", "probability": 0.65185546875}, {"start": 332.05, "end": 332.79, "word": " بدلالة", "probability": 0.8133544921875}, {"start": 332.79, "end": 333.23, "word": " هذه", "probability": 0.923828125}, {"start": 333.23, "end": 333.85, "word": " إذا", "probability": 0.740478515625}, {"start": 333.85, "end": 334.15, "word": " انا", "probability": 0.7178955078125}, {"start": 334.15, "end": 334.41, "word": " لو", "probability": 0.98046875}, {"start": 334.41, "end": 334.71, "word": " جيت", "probability": 0.9365234375}, {"start": 334.71, "end": 335.21, "word": " قلت", "probability": 0.8527018229166666}, {"start": 335.21, "end": 335.99, "word": " اتنين", "probability": 0.923828125}, {"start": 335.99, "end": 336.41, "word": " قص", "probability": 0.5711669921875}, {"start": 336.41, "end": 336.83, "word": " ان", "probability": 0.8212890625}, {"start": 336.83, "end": 337.99, "word": " كمان", "probability": 0.9757486979166666}, {"start": 337.99, "end": 338.45, "word": " من", "probability": 0.712890625}, {"start": 338.45, "end": 338.79, "word": " فعله", "probability": 0.7078450520833334}, {"start": 338.79, "end": 339.43, "word": " منفعش", "probability": 0.7215576171875}, {"start": 339.43, "end": 340.23, "word": " من", "probability": 0.76513671875}, {"start": 340.23, "end": 340.71, "word": " فعليه", "probability": 0.59796142578125}, {"start": 340.71, "end": 341.15, "word": " المين", "probability": 0.4595947265625}], "temperature": 1.0}, {"id": 16, "seek": 35528, "start": 341.72, "end": 355.28, "text": "هذه اقل من هذه ليش المقام هو نفسه اتنين واس ان هي اتنين واس ان الان اقل من اتنين واس ان يبقى المقدر الاول اقل من المقدر الثاني", "tokens": [3224, 24192, 1975, 4587, 1211, 9154, 29538, 32239, 8592, 9673, 4587, 10943, 31439, 8717, 36178, 3224, 1975, 2655, 1863, 9957, 4032, 32277, 16472, 39896, 1975, 2655, 1863, 9957, 4032, 32277, 16472, 2423, 7649, 1975, 4587, 1211, 9154, 1975, 2655, 1863, 9957, 4032, 32277, 16472, 7251, 3555, 4587, 7578, 9673, 28543, 2288, 42963, 12610, 1975, 4587, 1211, 9154, 9673, 28543, 2288, 6024, 104, 7649, 1829], "avg_logprob": -0.24759615384615385, "compression_ratio": 2.1634615384615383, "no_speech_prob": 0.0, "words": [{"start": 341.72, "end": 342.34, "word": "هذه", "probability": 0.4329833984375}, {"start": 342.34, "end": 343.0, "word": " اقل", "probability": 0.7806803385416666}, {"start": 343.0, "end": 343.2, "word": " من", "probability": 0.8876953125}, {"start": 343.2, "end": 343.4, "word": " هذه", "probability": 0.55419921875}, {"start": 343.4, "end": 343.7, "word": " ليش", "probability": 0.57958984375}, {"start": 343.7, "end": 344.32, "word": " المقام", "probability": 0.8312174479166666}, {"start": 344.32, "end": 344.52, "word": " هو", "probability": 0.9345703125}, {"start": 344.52, "end": 345.26, "word": " نفسه", "probability": 0.9939778645833334}, {"start": 345.26, "end": 345.98, "word": " اتنين", "probability": 0.8282470703125}, {"start": 345.98, "end": 346.24, "word": " واس", "probability": 0.3592529296875}, {"start": 346.24, "end": 346.38, "word": " ان", "probability": 0.6279296875}, {"start": 346.38, "end": 346.54, "word": " هي", "probability": 0.85791015625}, {"start": 346.54, "end": 346.84, "word": " اتنين", "probability": 0.9793701171875}, {"start": 346.84, "end": 347.06, "word": " واس", "probability": 0.935546875}, {"start": 347.06, "end": 347.3, "word": " ان", "probability": 0.92626953125}, {"start": 347.3, "end": 348.26, "word": " الان", "probability": 0.51708984375}, {"start": 348.26, "end": 349.18, "word": " اقل", "probability": 0.81591796875}, {"start": 349.18, "end": 349.48, "word": " من", "probability": 0.99072265625}, {"start": 349.48, "end": 350.1, "word": " اتنين", "probability": 0.9874267578125}, {"start": 350.1, "end": 350.48, "word": " واس", "probability": 0.6693115234375}, {"start": 350.48, "end": 350.86, "word": " ان", "probability": 0.9501953125}, {"start": 350.86, "end": 351.62, "word": " يبقى", "probability": 0.810791015625}, {"start": 351.62, "end": 352.12, "word": " المقدر", "probability": 0.7713216145833334}, {"start": 352.12, "end": 352.6, "word": " الاول", "probability": 0.902099609375}, {"start": 352.6, "end": 353.08, "word": " اقل", "probability": 0.9851888020833334}, {"start": 353.08, "end": 353.28, "word": " من", "probability": 0.97802734375}, {"start": 353.28, "end": 354.72, "word": " المقدر", "probability": 0.89501953125}, {"start": 354.72, "end": 355.28, "word": " الثاني", "probability": 0.894287109375}], "temperature": 1.0}, {"id": 17, "seek": 38010, "start": 355.5, "end": 380.1, "text": "طب ليش عملت هيك؟ عملت هيك مشان أقدر أجمع الاتنين مع بعض و يتم عملية الاختصارات فباجي بقول هذا بدي ساوي اتنين ضرب اتنين أس N على N تربيع في اتنين أس N يبقى الجواب اتنين على N تربيع بقول له بطولكن", "tokens": [9566, 3555, 32239, 8592, 6225, 42213, 2655, 39896, 4117, 22807, 6225, 42213, 2655, 39896, 4117, 37893, 7649, 5551, 28543, 2288, 5551, 7435, 2304, 3615, 2423, 9307, 1863, 9957, 20449, 45030, 11242, 4032, 7251, 39237, 6225, 42213, 10632, 2423, 47283, 2655, 9381, 9640, 9307, 6156, 3555, 26108, 1829, 4724, 39648, 23758, 4724, 16254, 8608, 995, 45865, 1975, 2655, 1863, 9957, 48812, 25513, 1975, 2655, 1863, 9957, 5551, 3794, 426, 15844, 426, 6055, 2288, 21292, 3615, 8978, 1975, 2655, 1863, 9957, 5551, 3794, 426, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 1975, 2655, 1863, 9957, 15844, 426, 6055, 2288, 21292, 3615, 4724, 39648, 46740, 4724, 9566, 12610, 19452], "avg_logprob": -0.16588784740349957, "compression_ratio": 1.994186046511628, "no_speech_prob": 0.0, "words": [{"start": 355.5, "end": 355.8, "word": "طب", "probability": 0.6832275390625}, {"start": 355.8, "end": 356.16, "word": " ليش", "probability": 0.978271484375}, {"start": 356.16, "end": 356.66, "word": " عملت", "probability": 0.9085286458333334}, {"start": 356.66, "end": 357.36, "word": " هيك؟", "probability": 0.85595703125}, {"start": 357.36, "end": 357.88, "word": " عملت", "probability": 0.97216796875}, {"start": 357.88, "end": 358.16, "word": " هيك", "probability": 0.986572265625}, {"start": 358.16, "end": 358.52, "word": " مشان", "probability": 0.787109375}, {"start": 358.52, "end": 359.22, "word": " أقدر", "probability": 0.85009765625}, {"start": 359.22, "end": 359.8, "word": " أجمع", "probability": 0.935546875}, {"start": 359.8, "end": 360.4, "word": " الاتنين", "probability": 0.83392333984375}, {"start": 360.4, "end": 360.64, "word": " مع", "probability": 0.99365234375}, {"start": 360.64, "end": 361.02, "word": " بعض", "probability": 0.99462890625}, {"start": 361.02, "end": 361.2, "word": " و", "probability": 0.90673828125}, {"start": 361.2, "end": 361.8, "word": " يتم", "probability": 0.669189453125}, {"start": 361.8, "end": 362.86, "word": " عملية", "probability": 0.9915364583333334}, {"start": 362.86, "end": 363.86, "word": " الاختصارات", "probability": 0.8840738932291666}, {"start": 363.86, "end": 364.76, "word": " فباجي", "probability": 0.8304443359375}, {"start": 364.76, "end": 365.12, "word": " بقول", "probability": 0.9677734375}, {"start": 365.12, "end": 365.5, "word": " هذا", "probability": 0.91162109375}, {"start": 365.5, "end": 365.92, "word": " بدي", "probability": 0.7041015625}, {"start": 365.92, "end": 366.6, "word": " ساوي", "probability": 0.6689453125}, {"start": 366.6, "end": 367.42, "word": " اتنين", "probability": 0.8721923828125}, {"start": 367.42, "end": 367.92, "word": " ضرب", "probability": 0.895263671875}, {"start": 367.92, "end": 368.66, "word": " اتنين", "probability": 0.9857177734375}, {"start": 368.66, "end": 369.14, "word": " أس", "probability": 0.48095703125}, {"start": 369.14, "end": 369.54, "word": " N", "probability": 0.62255859375}, {"start": 369.54, "end": 370.3, "word": " على", "probability": 0.67626953125}, {"start": 370.3, "end": 370.66, "word": " N", "probability": 0.91015625}, {"start": 370.66, "end": 371.34, "word": " تربيع", "probability": 0.73779296875}, {"start": 371.34, "end": 371.54, "word": " في", "probability": 0.85009765625}, {"start": 371.54, "end": 372.2, "word": " اتنين", "probability": 0.971923828125}, {"start": 372.2, "end": 372.64, "word": " أس", "probability": 0.950927734375}, {"start": 372.64, "end": 373.02, "word": " N", "probability": 0.982421875}, {"start": 373.02, "end": 373.82, "word": " يبقى", "probability": 0.94287109375}, {"start": 373.82, "end": 374.48, "word": " الجواب", "probability": 0.9793294270833334}, {"start": 374.48, "end": 375.3, "word": " اتنين", "probability": 0.97900390625}, {"start": 375.3, "end": 375.74, "word": " على", "probability": 0.8623046875}, {"start": 375.74, "end": 376.28, "word": " N", "probability": 0.9775390625}, {"start": 376.28, "end": 377.08, "word": " تربيع", "probability": 0.9744873046875}, {"start": 377.08, "end": 378.1, "word": " بقول", "probability": 0.90673828125}, {"start": 378.1, "end": 378.34, "word": " له", "probability": 0.37060546875}, {"start": 378.34, "end": 380.1, "word": " بطولكن", "probability": 0.7598876953125}], "temperature": 1.0}, {"id": 18, "seek": 39380, "start": 392.4, "end": 393.8, "text": "السبب", "tokens": [6027, 35457, 3555], "avg_logprob": -0.9033203423023224, "compression_ratio": 0.5263157894736842, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 392.40000000000003, "end": 393.8, "word": "السبب", "probability": 0.6497395833333334}], "temperature": 1.0}, {"id": 19, "seek": 42109, "start": 397.35, "end": 421.09, "text": "إن P يسوى 2 أكبر من 1 الصحيح بروح بقول هنا by the comparison test the series الهي summation لمن لل N زائد 2 أس N على N تربية زائد 2 أس N converge", "tokens": [28814, 1863, 430, 7251, 3794, 2407, 7578, 568, 5551, 4117, 26890, 9154, 502, 31767, 5016, 1829, 5016, 4724, 32887, 5016, 4724, 39648, 34105, 538, 264, 9660, 1500, 264, 2638, 2423, 3224, 1829, 28811, 5296, 27842, 24976, 426, 30767, 16373, 3215, 568, 5551, 3794, 426, 15844, 426, 6055, 25513, 10632, 30767, 16373, 3215, 568, 5551, 3794, 426, 41881], "avg_logprob": -0.33351291818865414, "compression_ratio": 1.2929936305732483, "no_speech_prob": 0.0, "words": [{"start": 397.35, "end": 397.79, "word": "إن", "probability": 0.4986724853515625}, {"start": 397.79, "end": 398.21, "word": " P", "probability": 0.60400390625}, {"start": 398.21, "end": 398.89, "word": " يسوى", "probability": 0.620941162109375}, {"start": 398.89, "end": 399.35, "word": " 2", "probability": 0.61474609375}, {"start": 399.35, "end": 400.13, "word": " أكبر", "probability": 0.8971354166666666}, {"start": 400.13, "end": 400.31, "word": " من", "probability": 0.974609375}, {"start": 400.31, "end": 400.65, "word": " 1", "probability": 0.75927734375}, {"start": 400.65, "end": 401.35, "word": " الصحيح", "probability": 0.78155517578125}, {"start": 401.35, "end": 402.33, "word": " بروح", "probability": 0.7335611979166666}, {"start": 402.33, "end": 402.75, "word": " بقول", "probability": 0.881103515625}, {"start": 402.75, "end": 403.19, "word": " هنا", "probability": 0.94189453125}, {"start": 403.19, "end": 403.77, "word": " by", "probability": 0.477294921875}, {"start": 403.77, "end": 404.93, "word": " the", "probability": 0.78515625}, {"start": 404.93, "end": 406.25, "word": " comparison", "probability": 0.8798828125}, {"start": 406.25, "end": 407.13, "word": " test", "probability": 0.92138671875}, {"start": 407.13, "end": 407.81, "word": " the", "probability": 0.583984375}, {"start": 407.81, "end": 408.87, "word": " series", "probability": 0.91796875}, {"start": 408.87, "end": 410.25, "word": " الهي", "probability": 0.488525390625}, {"start": 410.25, "end": 411.23, "word": " summation", "probability": 0.471435546875}, {"start": 411.23, "end": 412.57, "word": " لمن", "probability": 0.73583984375}, {"start": 412.57, "end": 413.07, "word": " لل", "probability": 0.326416015625}, {"start": 413.07, "end": 413.49, "word": " N", "probability": 0.79248046875}, {"start": 413.49, "end": 414.07, "word": " زائد", "probability": 0.7423502604166666}, {"start": 414.07, "end": 414.57, "word": " 2", "probability": 0.78515625}, {"start": 414.57, "end": 415.07, "word": " أس", "probability": 0.69580078125}, {"start": 415.07, "end": 415.49, "word": " N", "probability": 0.97509765625}, {"start": 415.49, "end": 416.31, "word": " على", "probability": 0.80712890625}, {"start": 416.31, "end": 416.85, "word": " N", "probability": 0.9072265625}, {"start": 416.85, "end": 417.53, "word": " تربية", "probability": 0.85107421875}, {"start": 417.53, "end": 418.31, "word": " زائد", "probability": 0.9475911458333334}, {"start": 418.31, "end": 418.85, "word": " 2", "probability": 0.9794921875}, {"start": 418.85, "end": 419.43, "word": " أس", "probability": 0.978759765625}, {"start": 419.43, "end": 419.89, "word": " N", "probability": 0.982421875}, {"start": 419.89, "end": 421.09, "word": " converge", "probability": 0.93115234375}], "temperature": 1.0}, {"id": 20, "seek": 44564, "start": 423.44, "end": 445.64, "text": "طيب اجى واحد تانى قال انا بفكر في المسألة بطريقة اخرى بقوله كيف طبعا حل اخر يبقى another solution اجى قال لي انا مابديش اشتغل هيك بقوله كيف قال لي هذا عندنا اللي هو مين ال N", "tokens": [9566, 1829, 3555, 1975, 7435, 7578, 36764, 24401, 6055, 7649, 7578, 50239, 1975, 8315, 4724, 5172, 37983, 8978, 9673, 3794, 10721, 37977, 4724, 9566, 16572, 28671, 1975, 34740, 7578, 4724, 39648, 3224, 9122, 33911, 23032, 3555, 3615, 995, 11331, 1211, 1975, 34740, 7251, 3555, 4587, 7578, 1071, 3827, 1975, 7435, 7578, 50239, 32239, 1975, 8315, 3714, 16758, 16254, 8592, 1975, 8592, 2655, 17082, 1211, 39896, 4117, 4724, 39648, 3224, 9122, 33911, 50239, 32239, 23758, 43242, 8315, 13672, 1829, 31439, 3714, 9957, 2423, 426], "avg_logprob": -0.1783854239398525, "compression_ratio": 1.5891891891891892, "no_speech_prob": 0.0, "words": [{"start": 423.44, "end": 424.18, "word": "طيب", "probability": 0.6831258138020834}, {"start": 424.18, "end": 424.76, "word": " اجى", "probability": 0.4833170572916667}, {"start": 424.76, "end": 425.1, "word": " واحد", "probability": 0.98779296875}, {"start": 425.1, "end": 425.5, "word": " تانى", "probability": 0.9322916666666666}, {"start": 425.5, "end": 425.7, "word": " قال", "probability": 0.8056640625}, {"start": 425.7, "end": 425.86, "word": " انا", "probability": 0.8701171875}, {"start": 425.86, "end": 426.38, "word": " بفكر", "probability": 0.96826171875}, {"start": 426.38, "end": 426.52, "word": " في", "probability": 0.619140625}, {"start": 426.52, "end": 426.98, "word": " المسألة", "probability": 0.8997802734375}, {"start": 426.98, "end": 427.52, "word": " بطريقة", "probability": 0.9820556640625}, {"start": 427.52, "end": 428.24, "word": " اخرى", "probability": 0.8779296875}, {"start": 428.24, "end": 429.28, "word": " بقوله", "probability": 0.8017578125}, {"start": 429.28, "end": 429.76, "word": " كيف", "probability": 0.973876953125}, {"start": 429.76, "end": 430.24, "word": " طبعا", "probability": 0.86871337890625}, {"start": 430.24, "end": 430.56, "word": " حل", "probability": 0.97900390625}, {"start": 430.56, "end": 431.12, "word": " اخر", "probability": 0.87890625}, {"start": 431.12, "end": 431.62, "word": " يبقى", "probability": 0.8370361328125}, {"start": 431.62, "end": 432.08, "word": " another", "probability": 0.529296875}, {"start": 432.08, "end": 434.98, "word": " solution", "probability": 0.98388671875}, {"start": 434.98, "end": 438.1, "word": " اجى", "probability": 0.8974609375}, {"start": 438.1, "end": 438.34, "word": " قال", "probability": 0.91259765625}, {"start": 438.34, "end": 438.52, "word": " لي", "probability": 0.5283203125}, {"start": 438.52, "end": 438.94, "word": " انا", "probability": 0.9189453125}, {"start": 438.94, "end": 439.48, "word": " مابديش", "probability": 0.9432373046875}, {"start": 439.48, "end": 439.9, "word": " اشتغل", "probability": 0.9771484375}, {"start": 439.9, "end": 440.22, "word": " هيك", "probability": 0.95751953125}, {"start": 440.22, "end": 440.7, "word": " بقوله", "probability": 0.9296875}, {"start": 440.7, "end": 441.08, "word": " كيف", "probability": 0.9814453125}, {"start": 441.08, "end": 442.04, "word": " قال", "probability": 0.79150390625}, {"start": 442.04, "end": 442.18, "word": " لي", "probability": 0.521484375}, {"start": 442.18, "end": 442.56, "word": " هذا", "probability": 0.84619140625}, {"start": 442.56, "end": 443.4, "word": " عندنا", "probability": 0.88916015625}, {"start": 443.4, "end": 443.72, "word": " اللي", "probability": 0.761474609375}, {"start": 443.72, "end": 443.96, "word": " هو", "probability": 0.9794921875}, {"start": 443.96, "end": 444.34, "word": " مين", "probability": 0.862548828125}, {"start": 444.34, "end": 445.06, "word": " ال", "probability": 0.95263671875}, {"start": 445.06, "end": 445.64, "word": " N", "probability": 0.64453125}], "temperature": 1.0}, {"id": 21, "seek": 46106, "start": 446.02, "end": 461.06, "text": "زائد اتنين اص ان على انت ربيع في اتنين اص ان قلنا له ايوة جالي بدي اوزع ال bus علي المقام وهذا هي summation اللي عندنا", "tokens": [11622, 16373, 3215, 1975, 2655, 1863, 9957, 1975, 9381, 16472, 15844, 16472, 2655, 12602, 21292, 3615, 8978, 1975, 2655, 1863, 9957, 1975, 9381, 16472, 12174, 1211, 8315, 46740, 1975, 1829, 2407, 3660, 10874, 6027, 1829, 4724, 16254, 1975, 2407, 11622, 3615, 2423, 1255, 25894, 9673, 4587, 10943, 37037, 15730, 39896, 28811, 13672, 1829, 43242, 8315], "avg_logprob": -0.29854911512562204, "compression_ratio": 1.5190839694656488, "no_speech_prob": 0.0, "words": [{"start": 446.02, "end": 446.94, "word": "زائد", "probability": 0.7249348958333334}, {"start": 446.94, "end": 447.66, "word": " اتنين", "probability": 0.8516845703125}, {"start": 447.66, "end": 448.24, "word": " اص", "probability": 0.637939453125}, {"start": 448.24, "end": 448.68, "word": " ان", "probability": 0.619140625}, {"start": 448.68, "end": 449.62, "word": " على", "probability": 0.453125}, {"start": 449.62, "end": 450.52, "word": " انت", "probability": 0.6463623046875}, {"start": 450.52, "end": 451.14, "word": " ربيع", "probability": 0.93212890625}, {"start": 451.14, "end": 451.34, "word": " في", "probability": 0.73828125}, {"start": 451.34, "end": 451.92, "word": " اتنين", "probability": 0.97607421875}, {"start": 451.92, "end": 452.38, "word": " اص", "probability": 0.933837890625}, {"start": 452.38, "end": 452.8, "word": " ان", "probability": 0.865234375}, {"start": 452.8, "end": 453.7, "word": " قلنا", "probability": 0.69775390625}, {"start": 453.7, "end": 453.86, "word": " له", "probability": 0.822265625}, {"start": 453.86, "end": 454.5, "word": " ايوة", "probability": 0.70709228515625}, {"start": 454.5, "end": 455.1, "word": " جالي", "probability": 0.6553548177083334}, {"start": 455.1, "end": 455.26, "word": " بدي", "probability": 0.42431640625}, {"start": 455.26, "end": 455.72, "word": " اوزع", "probability": 0.93994140625}, {"start": 455.72, "end": 455.86, "word": " ال", "probability": 0.556640625}, {"start": 455.86, "end": 456.08, "word": " bus", "probability": 0.77734375}, {"start": 456.08, "end": 456.34, "word": " علي", "probability": 0.4482421875}, {"start": 456.34, "end": 457.06, "word": " المقام", "probability": 0.96240234375}, {"start": 457.06, "end": 458.66, "word": " وهذا", "probability": 0.769775390625}, {"start": 458.66, "end": 459.08, "word": " هي", "probability": 0.3935546875}, {"start": 459.08, "end": 460.18, "word": " summation", "probability": 0.474365234375}, {"start": 460.18, "end": 460.64, "word": " اللي", "probability": 0.96240234375}, {"start": 460.64, "end": 461.06, "word": " عندنا", "probability": 0.95556640625}], "temperature": 1.0}, {"id": 22, "seek": 47671, "start": 461.41, "end": 476.71, "text": "يبقى هذا summation لل N على N تربيع في 2 أس N زائد 2 أس N على N تربيع في 2 أس N قلنا لهم مافيش مشكلة", "tokens": [1829, 3555, 4587, 7578, 23758, 28811, 24976, 426, 15844, 426, 6055, 2288, 21292, 3615, 8978, 568, 5551, 3794, 426, 30767, 16373, 3215, 568, 5551, 3794, 426, 15844, 426, 6055, 2288, 21292, 3615, 8978, 568, 5551, 3794, 426, 12174, 1211, 8315, 5296, 16095, 19446, 41185, 8592, 37893, 28820, 3660], "avg_logprob": -0.21014031098813427, "compression_ratio": 1.3928571428571428, "no_speech_prob": 0.0, "words": [{"start": 461.41, "end": 461.97, "word": "يبقى", "probability": 0.9071044921875}, {"start": 461.97, "end": 462.37, "word": " هذا", "probability": 0.87158203125}, {"start": 462.37, "end": 463.27, "word": " summation", "probability": 0.1904296875}, {"start": 463.27, "end": 464.45, "word": " لل", "probability": 0.51220703125}, {"start": 464.45, "end": 465.01, "word": " N", "probability": 0.59521484375}, {"start": 465.01, "end": 465.53, "word": " على", "probability": 0.79736328125}, {"start": 465.53, "end": 466.13, "word": " N", "probability": 0.9501953125}, {"start": 466.13, "end": 466.93, "word": " تربيع", "probability": 0.880859375}, {"start": 466.93, "end": 467.31, "word": " في", "probability": 0.80859375}, {"start": 467.31, "end": 467.83, "word": " 2", "probability": 0.7568359375}, {"start": 467.83, "end": 468.41, "word": " أس", "probability": 0.53076171875}, {"start": 468.41, "end": 468.79, "word": " N", "probability": 0.96240234375}, {"start": 468.79, "end": 469.83, "word": " زائد", "probability": 0.675537109375}, {"start": 469.83, "end": 470.47, "word": " 2", "probability": 0.95166015625}, {"start": 470.47, "end": 471.09, "word": " أس", "probability": 0.986572265625}, {"start": 471.09, "end": 471.53, "word": " N", "probability": 0.98974609375}, {"start": 471.53, "end": 472.35, "word": " على", "probability": 0.85546875}, {"start": 472.35, "end": 472.83, "word": " N", "probability": 0.98583984375}, {"start": 472.83, "end": 473.65, "word": " تربيع", "probability": 0.9552001953125}, {"start": 473.65, "end": 473.91, "word": " في", "probability": 0.9443359375}, {"start": 473.91, "end": 474.33, "word": " 2", "probability": 0.99267578125}, {"start": 474.33, "end": 474.77, "word": " أس", "probability": 0.9912109375}, {"start": 474.77, "end": 475.07, "word": " N", "probability": 0.98974609375}, {"start": 475.07, "end": 475.55, "word": " قلنا", "probability": 0.7314453125}, {"start": 475.55, "end": 475.83, "word": " لهم", "probability": 0.896728515625}, {"start": 475.83, "end": 476.13, "word": " مافيش", "probability": 0.78857421875}, {"start": 476.13, "end": 476.71, "word": " مشكلة", "probability": 0.9886067708333334}], "temperature": 1.0}, {"id": 23, "seek": 50439, "start": 477.39, "end": 504.39, "text": "قال له هذه كمان summation اختصر بيصير واحد على N في الاتنين أس N وهذه واحد على N تربيع قلنا له تمام تمام ممكن يدخل ال summation على الاتنين وبالتالي هذه بيصير summation تاني بهذا الشكل اظن هذه conversion دغري مافيها مشكلة مشكلة تبعناها", "tokens": [4587, 6027, 46740, 29538, 9122, 2304, 7649, 28811, 1975, 46456, 9381, 2288, 4724, 1829, 9381, 13546, 36764, 24401, 15844, 426, 8978, 2423, 9307, 1863, 9957, 5551, 3794, 426, 37037, 24192, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615, 12174, 1211, 8315, 46740, 46811, 10943, 46811, 10943, 3714, 43020, 7251, 3215, 9778, 1211, 2423, 28811, 15844, 2423, 9307, 1863, 9957, 46599, 6027, 2655, 6027, 1829, 29538, 4724, 1829, 9381, 13546, 28811, 6055, 7649, 1829, 39627, 15730, 25124, 28820, 1975, 19913, 1863, 29538, 14298, 11778, 17082, 16572, 19446, 41185, 11296, 37893, 28820, 3660, 37893, 28820, 3660, 6055, 3555, 3615, 8315, 11296], "avg_logprob": -0.34281248778104784, "compression_ratio": 1.8428571428571427, "no_speech_prob": 0.0, "words": [{"start": 477.39, "end": 477.89, "word": "قال", "probability": 0.4886627197265625}, {"start": 477.89, "end": 478.07, "word": " له", "probability": 0.787109375}, {"start": 478.07, "end": 478.35, "word": " هذه", "probability": 0.23486328125}, {"start": 478.35, "end": 478.85, "word": " كمان", "probability": 0.739990234375}, {"start": 478.85, "end": 479.41, "word": " summation", "probability": 0.7705078125}, {"start": 479.41, "end": 480.41, "word": " اختصر", "probability": 0.7138671875}, {"start": 480.41, "end": 480.83, "word": " بيصير", "probability": 0.7567138671875}, {"start": 480.83, "end": 481.69, "word": " واحد", "probability": 0.93017578125}, {"start": 481.69, "end": 482.65, "word": " على", "probability": 0.7451171875}, {"start": 482.65, "end": 483.25, "word": " N", "probability": 0.165771484375}, {"start": 483.25, "end": 483.65, "word": " في", "probability": 0.85205078125}, {"start": 483.65, "end": 484.65, "word": " الاتنين", "probability": 0.79296875}, {"start": 484.65, "end": 485.21, "word": " أس", "probability": 0.5799560546875}, {"start": 485.21, "end": 485.69, "word": " N", "probability": 0.8173828125}, {"start": 485.69, "end": 487.05, "word": " وهذه", "probability": 0.695556640625}, {"start": 487.05, "end": 487.97, "word": " واحد", "probability": 0.974365234375}, {"start": 487.97, "end": 488.37, "word": " على", "probability": 0.76025390625}, {"start": 488.37, "end": 488.85, "word": " N", "probability": 0.8779296875}, {"start": 488.85, "end": 489.49, "word": " تربيع", "probability": 0.70672607421875}, {"start": 489.49, "end": 490.13, "word": " قلنا", "probability": 0.7027180989583334}, {"start": 490.13, "end": 490.33, "word": " له", "probability": 0.88330078125}, {"start": 490.33, "end": 490.91, "word": " تمام", "probability": 0.977783203125}, {"start": 490.91, "end": 491.51, "word": " تمام", "probability": 0.766845703125}, {"start": 491.51, "end": 492.95, "word": " ممكن", "probability": 0.79296875}, {"start": 492.95, "end": 493.61, "word": " يدخل", "probability": 0.9844970703125}, {"start": 493.61, "end": 493.75, "word": " ال", "probability": 0.86181640625}, {"start": 493.75, "end": 494.17, "word": " summation", "probability": 0.81640625}, {"start": 494.17, "end": 494.61, "word": " على", "probability": 0.77880859375}, {"start": 494.61, "end": 495.29, "word": " الاتنين", "probability": 0.909423828125}, {"start": 495.29, "end": 496.23, "word": " وبالتالي", "probability": 0.9287109375}, {"start": 496.23, "end": 496.63, "word": " هذه", "probability": 0.75048828125}, {"start": 496.63, "end": 497.31, "word": " بيصير", "probability": 0.84503173828125}, {"start": 497.31, "end": 497.93, "word": " summation", "probability": 0.83154296875}, {"start": 497.93, "end": 498.55, "word": " تاني", "probability": 0.93359375}, {"start": 498.55, "end": 498.97, "word": " بهذا", "probability": 0.79638671875}, {"start": 498.97, "end": 499.47, "word": " الشكل", "probability": 0.990234375}, {"start": 499.47, "end": 500.43, "word": " اظن", "probability": 0.7607421875}, {"start": 500.43, "end": 500.79, "word": " هذه", "probability": 0.69384765625}, {"start": 500.79, "end": 501.47, "word": " conversion", "probability": 0.1998291015625}, {"start": 501.47, "end": 501.95, "word": " دغري", "probability": 0.6136067708333334}, {"start": 501.95, "end": 502.45, "word": " مافيها", "probability": 0.732421875}, {"start": 502.45, "end": 503.03, "word": " مشكلة", "probability": 0.9856770833333334}, {"start": 503.03, "end": 503.75, "word": " مشكلة", "probability": 0.8448893229166666}, {"start": 503.75, "end": 504.39, "word": " تبعناها", "probability": 0.567431640625}], "temperature": 1.0}, {"id": 24, "seek": 52744, "start": 504.98, "end": 527.44, "text": "مع هذه بقول له هذه أقل من summation ل 1 على 2 أس N زائد summation زائد summation ل 1 على N تربية، مظبوط ولا لا؟ هذه أقل من هذه، صحيح ولا لا؟", "tokens": [2304, 3615, 29538, 4724, 39648, 46740, 29538, 5551, 4587, 1211, 9154, 28811, 5296, 502, 15844, 568, 5551, 3794, 426, 30767, 16373, 3215, 28811, 30767, 16373, 3215, 28811, 5296, 502, 15844, 426, 6055, 2288, 21292, 3660, 12399, 3714, 19913, 3555, 2407, 9566, 49429, 20193, 22807, 29538, 5551, 4587, 1211, 9154, 29538, 12399, 20328, 5016, 1829, 5016, 49429, 20193, 22807], "avg_logprob": -0.22563559524083543, "compression_ratio": 1.6363636363636365, "no_speech_prob": 0.0, "words": [{"start": 504.98, "end": 505.44, "word": "مع", "probability": 0.6917724609375}, {"start": 505.44, "end": 505.9, "word": " هذه", "probability": 0.7939453125}, {"start": 505.9, "end": 506.9, "word": " بقول", "probability": 0.830322265625}, {"start": 506.9, "end": 507.12, "word": " له", "probability": 0.69775390625}, {"start": 507.12, "end": 507.62, "word": " هذه", "probability": 0.8408203125}, {"start": 507.62, "end": 508.86, "word": " أقل", "probability": 0.85693359375}, {"start": 508.86, "end": 509.38, "word": " من", "probability": 0.99462890625}, {"start": 509.38, "end": 510.48, "word": " summation", "probability": 0.791015625}, {"start": 510.48, "end": 511.3, "word": " ل", "probability": 0.81787109375}, {"start": 511.3, "end": 511.7, "word": " 1", "probability": 0.248291015625}, {"start": 511.7, "end": 512.24, "word": " على", "probability": 0.39990234375}, {"start": 512.24, "end": 512.94, "word": " 2", "probability": 0.8369140625}, {"start": 512.94, "end": 513.56, "word": " أس", "probability": 0.716064453125}, {"start": 513.56, "end": 514.0, "word": " N", "probability": 0.75634765625}, {"start": 514.0, "end": 515.32, "word": " زائد", "probability": 0.8077799479166666}, {"start": 515.32, "end": 516.92, "word": " summation", "probability": 0.8681640625}, {"start": 516.92, "end": 518.64, "word": " زائد", "probability": 0.8733723958333334}, {"start": 518.64, "end": 519.98, "word": " summation", "probability": 0.896484375}, {"start": 519.98, "end": 520.44, "word": " ل", "probability": 0.962890625}, {"start": 520.44, "end": 520.9, "word": " 1", "probability": 0.919921875}, {"start": 520.9, "end": 521.34, "word": " على", "probability": 0.880859375}, {"start": 521.34, "end": 521.72, "word": " N", "probability": 0.94091796875}, {"start": 521.72, "end": 522.34, "word": " تربية،", "probability": 0.632080078125}, {"start": 522.34, "end": 522.74, "word": " مظبوط", "probability": 0.84658203125}, {"start": 522.74, "end": 522.86, "word": " ولا", "probability": 0.62646484375}, {"start": 522.86, "end": 524.5, "word": " لا؟", "probability": 0.85498046875}, {"start": 524.5, "end": 525.08, "word": " هذه", "probability": 0.7822265625}, {"start": 525.08, "end": 525.68, "word": " أقل", "probability": 0.9734700520833334}, {"start": 525.68, "end": 525.92, "word": " من", "probability": 0.994140625}, {"start": 525.92, "end": 526.46, "word": " هذه،", "probability": 0.821533203125}, {"start": 526.46, "end": 526.82, "word": " صحيح", "probability": 0.9918212890625}, {"start": 526.82, "end": 526.96, "word": " ولا", "probability": 0.89697265625}, {"start": 526.96, "end": 527.44, "word": " لا؟", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 25, "seek": 55336, "start": 528.64, "end": 553.36, "text": "مالك و خنش يعني شيلت N من المقام يبقى أقل منها لإن هذه مقامة أكبر طيب هذه هاها اللي تساوي مين؟ summation لنص أس N زي summation لواحد علي N تربيع أظن هذه convert geometric صح؟ يبقى هذه convert geometric series", "tokens": [2304, 6027, 4117, 4032, 16490, 1863, 8592, 37495, 22653, 13412, 26895, 2655, 426, 9154, 9673, 4587, 10943, 7251, 3555, 4587, 7578, 5551, 4587, 1211, 9154, 11296, 5296, 28814, 1863, 29538, 3714, 4587, 10943, 3660, 5551, 4117, 26890, 23032, 1829, 3555, 29538, 8032, 995, 11296, 13672, 1829, 6055, 3794, 995, 45865, 3714, 9957, 22807, 28811, 5296, 1863, 9381, 5551, 3794, 426, 30767, 1829, 28811, 5296, 14407, 24401, 25894, 426, 6055, 2288, 21292, 3615, 5551, 19913, 1863, 29538, 7620, 33246, 20328, 5016, 22807, 7251, 3555, 4587, 7578, 29538, 7620, 33246, 2638], "avg_logprob": -0.3156249910593033, "compression_ratio": 1.6173469387755102, "no_speech_prob": 0.0, "words": [{"start": 528.64, "end": 529.2, "word": "مالك", "probability": 0.649658203125}, {"start": 529.2, "end": 529.28, "word": " و", "probability": 0.8818359375}, {"start": 529.28, "end": 529.7, "word": " خنش", "probability": 0.6663411458333334}, {"start": 529.7, "end": 529.98, "word": " يعني", "probability": 0.507232666015625}, {"start": 529.98, "end": 530.76, "word": " شيلت", "probability": 0.63519287109375}, {"start": 530.76, "end": 530.96, "word": " N", "probability": 0.46435546875}, {"start": 530.96, "end": 531.14, "word": " من", "probability": 0.96484375}, {"start": 531.14, "end": 531.78, "word": " المقام", "probability": 0.9873046875}, {"start": 531.78, "end": 532.3, "word": " يبقى", "probability": 0.9044189453125}, {"start": 532.3, "end": 532.82, "word": " أقل", "probability": 0.8916015625}, {"start": 532.82, "end": 533.08, "word": " منها", "probability": 0.949462890625}, {"start": 533.08, "end": 533.28, "word": " لإن", "probability": 0.804443359375}, {"start": 533.28, "end": 533.48, "word": " هذه", "probability": 0.2958984375}, {"start": 533.48, "end": 533.96, "word": " مقامة", "probability": 0.77734375}, {"start": 533.96, "end": 534.48, "word": " أكبر", "probability": 0.927734375}, {"start": 534.48, "end": 535.42, "word": " طيب", "probability": 0.8241373697916666}, {"start": 535.42, "end": 536.28, "word": " هذه", "probability": 0.705078125}, {"start": 536.28, "end": 537.12, "word": " هاها", "probability": 0.448486328125}, {"start": 537.12, "end": 537.36, "word": " اللي", "probability": 0.652099609375}, {"start": 537.36, "end": 538.08, "word": " تساوي", "probability": 0.7398681640625}, {"start": 538.08, "end": 538.68, "word": " مين؟", "probability": 0.7520345052083334}, {"start": 538.68, "end": 539.22, "word": " summation", "probability": 0.5009765625}, {"start": 539.22, "end": 540.58, "word": " لنص", "probability": 0.7957356770833334}, {"start": 540.58, "end": 541.08, "word": " أس", "probability": 0.762939453125}, {"start": 541.08, "end": 541.52, "word": " N", "probability": 0.9541015625}, {"start": 541.52, "end": 542.34, "word": " زي", "probability": 0.851806640625}, {"start": 542.34, "end": 543.08, "word": " summation", "probability": 0.41259765625}, {"start": 543.08, "end": 543.78, "word": " لواحد", "probability": 0.892578125}, {"start": 543.78, "end": 544.0, "word": " علي", "probability": 0.44873046875}, {"start": 544.0, "end": 544.24, "word": " N", "probability": 0.92724609375}, {"start": 544.24, "end": 544.92, "word": " تربيع", "probability": 0.865966796875}, {"start": 544.92, "end": 545.76, "word": " أظن", "probability": 0.8460286458333334}, {"start": 545.76, "end": 546.08, "word": " هذه", "probability": 0.6787109375}, {"start": 546.08, "end": 546.56, "word": " convert", "probability": 0.438720703125}, {"start": 546.56, "end": 547.4, "word": " geometric", "probability": 0.892578125}, {"start": 547.4, "end": 549.3, "word": " صح؟", "probability": 0.7843424479166666}, {"start": 549.3, "end": 549.76, "word": " يبقى", "probability": 0.95947265625}, {"start": 549.76, "end": 550.12, "word": " هذه", "probability": 0.861328125}, {"start": 550.12, "end": 551.04, "word": " convert", "probability": 0.8681640625}, {"start": 551.04, "end": 552.68, "word": " geometric", "probability": 0.82080078125}, {"start": 552.68, "end": 553.36, "word": " series", "probability": 0.9169921875}], "temperature": 1.0}, {"id": 26, "seek": 57654, "start": 553.65, "end": 576.55, "text": "وهذه convergence P series وهذه convergence P series مجموع ال two convergence series is convergent يبقى ال series اللي أقل منها اللي الأصل ياشي بتكون convergent يبقى هدول طريقين للحل", "tokens": [2407, 3224, 24192, 32181, 430, 2638, 37037, 24192, 32181, 430, 2638, 3714, 7435, 2304, 45367, 2423, 732, 32181, 2638, 307, 9652, 6930, 7251, 3555, 4587, 7578, 2423, 2638, 13672, 1829, 5551, 4587, 1211, 9154, 11296, 13672, 1829, 16247, 36520, 7251, 33599, 1829, 39894, 30544, 9652, 6930, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 23032, 16572, 4587, 9957, 24976, 5016, 1211], "avg_logprob": -0.2274590193248186, "compression_ratio": 1.717241379310345, "no_speech_prob": 0.0, "words": [{"start": 553.65, "end": 554.47, "word": "وهذه", "probability": 0.5738932291666666}, {"start": 554.47, "end": 555.49, "word": " convergence", "probability": 0.228515625}, {"start": 555.49, "end": 556.03, "word": " P", "probability": 0.58740234375}, {"start": 556.03, "end": 556.63, "word": " series", "probability": 0.465087890625}, {"start": 556.63, "end": 557.67, "word": " وهذه", "probability": 0.791748046875}, {"start": 557.67, "end": 558.49, "word": " convergence", "probability": 0.53857421875}, {"start": 558.49, "end": 559.75, "word": " P", "probability": 0.98193359375}, {"start": 559.75, "end": 560.73, "word": " series", "probability": 0.9150390625}, {"start": 560.73, "end": 562.13, "word": " مجموع", "probability": 0.78094482421875}, {"start": 562.13, "end": 562.55, "word": " ال", "probability": 0.90234375}, {"start": 562.55, "end": 562.73, "word": " two", "probability": 0.374755859375}, {"start": 562.73, "end": 563.49, "word": " convergence", "probability": 0.7666015625}, {"start": 563.49, "end": 564.33, "word": " series", "probability": 0.87744140625}, {"start": 564.33, "end": 565.03, "word": " is", "probability": 0.6171875}, {"start": 565.03, "end": 566.43, "word": " convergent", "probability": 0.751220703125}, {"start": 566.43, "end": 567.35, "word": " يبقى", "probability": 0.9300537109375}, {"start": 567.35, "end": 567.45, "word": " ال", "probability": 0.9560546875}, {"start": 567.45, "end": 567.69, "word": " series", "probability": 0.919921875}, {"start": 567.69, "end": 568.09, "word": " اللي", "probability": 0.79833984375}, {"start": 568.09, "end": 568.99, "word": " أقل", "probability": 0.9117838541666666}, {"start": 568.99, "end": 569.65, "word": " منها", "probability": 0.99072265625}, {"start": 569.65, "end": 570.29, "word": " اللي", "probability": 0.93408203125}, {"start": 570.29, "end": 570.77, "word": " الأصل", "probability": 0.770263671875}, {"start": 570.77, "end": 571.09, "word": " ياشي", "probability": 0.7692057291666666}, {"start": 571.09, "end": 571.65, "word": " بتكون", "probability": 0.9619140625}, {"start": 571.65, "end": 573.13, "word": " convergent", "probability": 0.886962890625}, {"start": 573.13, "end": 573.65, "word": " يبقى", "probability": 0.9580078125}, {"start": 573.65, "end": 574.19, "word": " هدول", "probability": 0.88916015625}, {"start": 574.19, "end": 575.13, "word": " طريقين", "probability": 0.928466796875}, {"start": 575.13, "end": 576.55, "word": " للحل", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 27, "seek": 60354, "start": 576.92, "end": 603.54, "text": "وحل بالطريقة اللى تشوفها مناسبة بالنسبة لك طبعا الطريقة الأولى أسرع كتير من الطريقة الثانية وأبسط منها هذا كان السؤال الثامن السؤال التاسع بيقول ال summation من n equal one to infinity لإتنين to the power n تلاتة to the power n", "tokens": [2407, 5016, 1211, 20666, 9566, 16572, 28671, 13672, 7578, 6055, 8592, 38688, 11296, 3714, 8315, 35457, 3660, 20666, 1863, 35457, 3660, 5296, 4117, 23032, 3555, 3615, 995, 41950, 16572, 28671, 16247, 12610, 7578, 5551, 3794, 2288, 3615, 9122, 2655, 13546, 9154, 41950, 16572, 28671, 6024, 104, 7649, 10632, 36725, 3555, 3794, 9566, 9154, 11296, 23758, 25961, 21136, 33604, 6027, 6024, 104, 10943, 1863, 21136, 33604, 6027, 16712, 32277, 3615, 4724, 1829, 39648, 2423, 28811, 9154, 297, 2681, 472, 281, 13202, 5296, 28814, 2655, 1863, 9957, 281, 264, 1347, 297, 6055, 1211, 9307, 3660, 281, 264, 1347, 297], "avg_logprob": -0.14907525753488346, "compression_ratio": 1.7794117647058822, "no_speech_prob": 0.0, "words": [{"start": 576.92, "end": 577.58, "word": "وحل", "probability": 0.6338704427083334}, {"start": 577.58, "end": 578.32, "word": " بالطريقة", "probability": 0.83636474609375}, {"start": 578.32, "end": 578.54, "word": " اللى", "probability": 0.7431640625}, {"start": 578.54, "end": 579.2, "word": " تشوفها", "probability": 0.9241943359375}, {"start": 579.2, "end": 579.86, "word": " مناسبة", "probability": 0.928955078125}, {"start": 579.86, "end": 580.36, "word": " بالنسبة", "probability": 0.8370361328125}, {"start": 580.36, "end": 580.54, "word": " لك", "probability": 0.899658203125}, {"start": 580.54, "end": 581.02, "word": " طبعا", "probability": 0.9849853515625}, {"start": 581.02, "end": 581.86, "word": " الطريقة", "probability": 0.91455078125}, {"start": 581.86, "end": 582.3, "word": " الأولى", "probability": 0.9705403645833334}, {"start": 582.3, "end": 582.84, "word": " أسرع", "probability": 0.9520263671875}, {"start": 582.84, "end": 583.5, "word": " كتير", "probability": 0.9461263020833334}, {"start": 583.5, "end": 583.72, "word": " من", "probability": 0.98291015625}, {"start": 583.72, "end": 584.52, "word": " الطريقة", "probability": 0.9856770833333334}, {"start": 584.52, "end": 585.92, "word": " الثانية", "probability": 0.919921875}, {"start": 585.92, "end": 586.76, "word": " وأبسط", "probability": 0.8577880859375}, {"start": 586.76, "end": 587.48, "word": " منها", "probability": 0.99072265625}, {"start": 587.48, "end": 588.12, "word": " هذا", "probability": 0.8291015625}, {"start": 588.12, "end": 588.5, "word": " كان", "probability": 0.98779296875}, {"start": 588.5, "end": 588.96, "word": " السؤال", "probability": 0.9910481770833334}, {"start": 588.96, "end": 589.64, "word": " الثامن", "probability": 0.821044921875}, {"start": 589.64, "end": 590.22, "word": " السؤال", "probability": 0.9558919270833334}, {"start": 590.22, "end": 591.3, "word": " التاسع", "probability": 0.9915364583333334}, {"start": 591.3, "end": 593.14, "word": " بيقول", "probability": 0.9259440104166666}, {"start": 593.14, "end": 593.34, "word": " ال", "probability": 0.53466796875}, {"start": 593.34, "end": 594.18, "word": " summation", "probability": 0.67333984375}, {"start": 594.18, "end": 595.16, "word": " من", "probability": 0.935546875}, {"start": 595.16, "end": 595.48, "word": " n", "probability": 0.546875}, {"start": 595.48, "end": 595.98, "word": " equal", "probability": 0.28076171875}, {"start": 595.98, "end": 596.42, "word": " one", "probability": 0.76025390625}, {"start": 596.42, "end": 596.72, "word": " to", "probability": 0.94091796875}, {"start": 596.72, "end": 597.8, "word": " infinity", "probability": 0.84521484375}, {"start": 597.8, "end": 599.52, "word": " لإتنين", "probability": 0.740869140625}, {"start": 599.52, "end": 599.8, "word": " to", "probability": 0.96142578125}, {"start": 599.8, "end": 600.06, "word": " the", "probability": 0.9248046875}, {"start": 600.06, "end": 600.6, "word": " power", "probability": 0.890625}, {"start": 600.6, "end": 601.08, "word": " n", "probability": 0.79736328125}, {"start": 601.08, "end": 602.04, "word": " تلاتة", "probability": 0.828125}, {"start": 602.04, "end": 602.28, "word": " to", "probability": 0.9736328125}, {"start": 602.28, "end": 602.58, "word": " the", "probability": 0.92724609375}, {"start": 602.58, "end": 603.08, "word": " power", "probability": 0.87939453125}, {"start": 603.08, "end": 603.54, "word": " n", "probability": 0.93505859375}], "temperature": 1.0}, {"id": 28, "seek": 62122, "start": 603.92, "end": 621.22, "text": "تلاتة to the power n زائد أربعة to the power n بقول لك كويس، بدنا ناخد الحد النوني اتنين أس N زائد تلاتة أس N تلاتة أس N زائد أربعة أس M", "tokens": [2655, 1211, 9307, 3660, 281, 264, 1347, 297, 30767, 16373, 3215, 5551, 25513, 27884, 281, 264, 1347, 297, 4724, 39648, 5296, 4117, 9122, 45865, 3794, 12399, 47525, 8315, 8717, 47283, 3215, 21542, 3215, 28239, 11536, 1829, 1975, 2655, 1863, 9957, 5551, 3794, 426, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 5551, 3794, 426, 6055, 1211, 9307, 3660, 5551, 3794, 426, 30767, 16373, 3215, 5551, 25513, 27884, 5551, 3794, 376], "avg_logprob": -0.22901785394975116, "compression_ratio": 1.6929133858267718, "no_speech_prob": 0.0, "words": [{"start": 603.92, "end": 604.86, "word": "تلاتة", "probability": 0.7840576171875}, {"start": 604.86, "end": 605.08, "word": " to", "probability": 0.73388671875}, {"start": 605.08, "end": 605.36, "word": " the", "probability": 0.93359375}, {"start": 605.36, "end": 605.96, "word": " power", "probability": 0.90673828125}, {"start": 605.96, "end": 606.46, "word": " n", "probability": 0.2666015625}, {"start": 606.46, "end": 607.5, "word": " زائد", "probability": 0.8865559895833334}, {"start": 607.5, "end": 608.16, "word": " أربعة", "probability": 0.8570963541666666}, {"start": 608.16, "end": 608.48, "word": " to", "probability": 0.9638671875}, {"start": 608.48, "end": 608.74, "word": " the", "probability": 0.9306640625}, {"start": 608.74, "end": 609.32, "word": " power", "probability": 0.89013671875}, {"start": 609.32, "end": 610.5, "word": " n", "probability": 0.85107421875}, {"start": 610.5, "end": 611.66, "word": " بقول", "probability": 0.56353759765625}, {"start": 611.66, "end": 611.86, "word": " لك", "probability": 0.6944580078125}, {"start": 611.86, "end": 612.34, "word": " كويس،", "probability": 0.7806396484375}, {"start": 612.34, "end": 612.56, "word": " بدنا", "probability": 0.36376953125}, {"start": 612.56, "end": 612.94, "word": " ناخد", "probability": 0.9480794270833334}, {"start": 612.94, "end": 613.56, "word": " الحد", "probability": 0.984619140625}, {"start": 613.56, "end": 614.16, "word": " النوني", "probability": 0.7035319010416666}, {"start": 614.16, "end": 614.74, "word": " اتنين", "probability": 0.8380126953125}, {"start": 614.74, "end": 615.12, "word": " أس", "probability": 0.70751953125}, {"start": 615.12, "end": 615.5, "word": " N", "probability": 0.404052734375}, {"start": 615.5, "end": 616.58, "word": " زائد", "probability": 0.9500325520833334}, {"start": 616.58, "end": 617.22, "word": " تلاتة", "probability": 0.9803466796875}, {"start": 617.22, "end": 617.5, "word": " أس", "probability": 0.968994140625}, {"start": 617.5, "end": 617.92, "word": " N", "probability": 0.97314453125}, {"start": 617.92, "end": 618.68, "word": " تلاتة", "probability": 0.9317626953125}, {"start": 618.68, "end": 618.98, "word": " أس", "probability": 0.98583984375}, {"start": 618.98, "end": 619.32, "word": " N", "probability": 0.90234375}, {"start": 619.32, "end": 619.92, "word": " زائد", "probability": 0.9677734375}, {"start": 619.92, "end": 620.5, "word": " أربعة", "probability": 0.9464518229166666}, {"start": 620.5, "end": 620.92, "word": " أس", "probability": 0.990478515625}, {"start": 620.92, "end": 621.22, "word": " M", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 29, "seek": 65228, "start": 622.82, "end": 652.28, "text": "طبعا اثنين اث ان اصغر من مين من تلاتة اث ان يبقى اللي بده يتحكم في الموضوع مين تلاتة اث ان هنا اربعة اث ان اكبر من تلاتة اث ان يبقى اللي بده يتحكم في الموضوع مين يبقى بدي اشيل التلاتة واشيل اتنين مضال تلاتة اث ان على اربعة اث ان يعني تلاتة ربع كل اث ان geometric convert يبقى بده يمشي اجل من", "tokens": [9566, 3555, 3615, 995, 1975, 12984, 1863, 9957, 1975, 12984, 16472, 1975, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 6055, 1211, 9307, 3660, 1975, 12984, 16472, 7251, 3555, 4587, 7578, 13672, 1829, 47525, 3224, 7251, 2655, 5016, 24793, 8978, 9673, 2407, 11242, 45367, 3714, 9957, 6055, 1211, 9307, 3660, 1975, 12984, 16472, 34105, 1975, 25513, 27884, 1975, 12984, 16472, 1975, 4117, 26890, 9154, 6055, 1211, 9307, 3660, 1975, 12984, 16472, 7251, 3555, 4587, 7578, 13672, 1829, 47525, 3224, 7251, 2655, 5016, 24793, 8978, 9673, 2407, 11242, 45367, 3714, 9957, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 8592, 26895, 16712, 1211, 9307, 3660, 4032, 33599, 26895, 1975, 2655, 1863, 9957, 3714, 11242, 6027, 6055, 1211, 9307, 3660, 1975, 12984, 16472, 15844, 1975, 25513, 27884, 1975, 12984, 16472, 37495, 22653, 6055, 1211, 9307, 3660, 12602, 3555, 3615, 28242, 1975, 12984, 16472, 33246, 7620, 7251, 3555, 4587, 7578, 47525, 3224, 7251, 2304, 8592, 1829, 1975, 7435, 1211, 9154], "avg_logprob": -0.19090544432401657, "compression_ratio": 2.553299492385787, "no_speech_prob": 0.0, "words": [{"start": 622.82, "end": 623.32, "word": "طبعا", "probability": 0.8758544921875}, {"start": 623.32, "end": 623.84, "word": " اثنين", "probability": 0.7779541015625}, {"start": 623.84, "end": 624.18, "word": " اث", "probability": 0.366943359375}, {"start": 624.18, "end": 624.54, "word": " ان", "probability": 0.5302734375}, {"start": 624.54, "end": 625.34, "word": " اصغر", "probability": 0.9332275390625}, {"start": 625.34, "end": 625.56, "word": " من", "probability": 0.9853515625}, {"start": 625.56, "end": 626.06, "word": " مين", "probability": 0.484619140625}, {"start": 626.06, "end": 626.66, "word": " من", "probability": 0.39892578125}, {"start": 626.66, "end": 627.2, "word": " تلاتة", "probability": 0.90576171875}, {"start": 627.2, "end": 627.42, "word": " اث", "probability": 0.864990234375}, {"start": 627.42, "end": 627.6, "word": " ان", "probability": 0.9013671875}, {"start": 627.6, "end": 627.82, "word": " يبقى", "probability": 0.59234619140625}, {"start": 627.82, "end": 627.96, "word": " اللي", "probability": 0.85888671875}, {"start": 627.96, "end": 628.18, "word": " بده", "probability": 0.611328125}, {"start": 628.18, "end": 628.78, "word": " يتحكم", "probability": 0.9837646484375}, {"start": 628.78, "end": 628.96, "word": " في", "probability": 0.8134765625}, {"start": 628.96, "end": 629.52, "word": " الموضوع", "probability": 0.99755859375}, {"start": 629.52, "end": 629.98, "word": " مين", "probability": 0.90283203125}, {"start": 629.98, "end": 630.92, "word": " تلاتة", "probability": 0.916015625}, {"start": 630.92, "end": 631.14, "word": " اث", "probability": 0.924560546875}, {"start": 631.14, "end": 631.4, "word": " ان", "probability": 0.93603515625}, {"start": 631.4, "end": 632.26, "word": " هنا", "probability": 0.50439453125}, {"start": 632.26, "end": 632.78, "word": " اربعة", "probability": 0.8668619791666666}, {"start": 632.78, "end": 633.0, "word": " اث", "probability": 0.79443359375}, {"start": 633.0, "end": 633.2, "word": " ان", "probability": 0.90673828125}, {"start": 633.2, "end": 633.62, "word": " اكبر", "probability": 0.9505208333333334}, {"start": 633.62, "end": 633.84, "word": " من", "probability": 0.98828125}, {"start": 633.84, "end": 634.34, "word": " تلاتة", "probability": 0.989990234375}, {"start": 634.34, "end": 634.6, "word": " اث", "probability": 0.954833984375}, {"start": 634.6, "end": 634.84, "word": " ان", "probability": 0.9794921875}, {"start": 634.84, "end": 635.08, "word": " يبقى", "probability": 0.9805908203125}, {"start": 635.08, "end": 635.16, "word": " اللي", "probability": 0.98291015625}, {"start": 635.16, "end": 635.3, "word": " بده", "probability": 0.872314453125}, {"start": 635.3, "end": 635.76, "word": " يتحكم", "probability": 0.9864501953125}, {"start": 635.76, "end": 635.9, "word": " في", "probability": 0.97509765625}, {"start": 635.9, "end": 636.28, "word": " الموضوع", "probability": 0.9986572265625}, {"start": 636.28, "end": 636.76, "word": " مين", "probability": 0.986572265625}, {"start": 636.76, "end": 638.2, "word": " يبقى", "probability": 0.973876953125}, {"start": 638.2, "end": 638.52, "word": " بدي", "probability": 0.6212158203125}, {"start": 638.52, "end": 639.0, "word": " اشيل", "probability": 0.9132486979166666}, {"start": 639.0, "end": 639.66, "word": " التلاتة", "probability": 0.9693603515625}, {"start": 639.66, "end": 640.06, "word": " واشيل", "probability": 0.7833658854166666}, {"start": 640.06, "end": 640.38, "word": " اتنين", "probability": 0.8782958984375}, {"start": 640.38, "end": 640.74, "word": " مضال", "probability": 0.4694010416666667}, {"start": 640.74, "end": 641.26, "word": " تلاتة", "probability": 0.9864501953125}, {"start": 641.26, "end": 641.5, "word": " اث", "probability": 0.861572265625}, {"start": 641.5, "end": 641.82, "word": " ان", "probability": 0.97216796875}, {"start": 641.82, "end": 642.14, "word": " على", "probability": 0.6337890625}, {"start": 642.14, "end": 642.82, "word": " اربعة", "probability": 0.9111328125}, {"start": 642.82, "end": 643.22, "word": " اث", "probability": 0.901611328125}, {"start": 643.22, "end": 643.58, "word": " ان", "probability": 0.98046875}, {"start": 643.58, "end": 644.34, "word": " يعني", "probability": 0.904052734375}, {"start": 644.34, "end": 644.9, "word": " تلاتة", "probability": 0.9400634765625}, {"start": 644.9, "end": 645.28, "word": " ربع", "probability": 0.7664388020833334}, {"start": 645.28, "end": 645.66, "word": " كل", "probability": 0.91650390625}, {"start": 645.66, "end": 646.34, "word": " اث", "probability": 0.808837890625}, {"start": 646.34, "end": 646.98, "word": " ان", "probability": 0.97265625}, {"start": 646.98, "end": 648.54, "word": " geometric", "probability": 0.2744140625}, {"start": 648.54, "end": 650.38, "word": " convert", "probability": 0.26220703125}, {"start": 650.38, "end": 651.18, "word": " يبقى", "probability": 0.974365234375}, {"start": 651.18, "end": 651.38, "word": " بده", "probability": 0.86474609375}, {"start": 651.38, "end": 651.74, "word": " يمشي", "probability": 0.96142578125}, {"start": 651.74, "end": 652.12, "word": " اجل", "probability": 0.6285807291666666}, {"start": 652.12, "end": 652.28, "word": " من", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 30, "seek": 67050, "start": 653.04, "end": 670.5, "text": "طبعا يبقى بقى اجي بقول له هذه أقل منه وهذا إشارة الكثر، لا مش مظبوط غلط، هذا الباص طبعا المقام دي يخليه زي ما هو، اي تلاتة وسن زي اربعة سن، مظبوط ذلك؟ مش مظبوط", "tokens": [9566, 3555, 3615, 995, 7251, 3555, 4587, 7578, 4724, 4587, 7578, 1975, 7435, 1829, 4724, 39648, 46740, 29538, 5551, 4587, 1211, 9154, 3224, 37037, 15730, 11933, 8592, 9640, 3660, 33251, 12984, 2288, 12399, 20193, 37893, 3714, 19913, 3555, 2407, 9566, 32771, 1211, 9566, 12399, 23758, 29739, 33546, 23032, 3555, 3615, 995, 9673, 4587, 10943, 11778, 1829, 7251, 9778, 20292, 3224, 30767, 1829, 19446, 31439, 12399, 1975, 1829, 6055, 1211, 9307, 3660, 46952, 1863, 30767, 1829, 1975, 25513, 27884, 8608, 1863, 12399, 3714, 19913, 3555, 2407, 9566, 29910, 23275, 22807, 37893, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.25195312531044084, "compression_ratio": 1.7530864197530864, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 653.04, "end": 653.7, "word": "طبعا", "probability": 0.875732421875}, {"start": 653.7, "end": 654.56, "word": " يبقى", "probability": 0.8143310546875}, {"start": 654.56, "end": 654.8, "word": " بقى", "probability": 0.707275390625}, {"start": 654.8, "end": 654.92, "word": " اجي", "probability": 0.6043294270833334}, {"start": 654.92, "end": 655.36, "word": " بقول", "probability": 0.733642578125}, {"start": 655.36, "end": 655.56, "word": " له", "probability": 0.4296875}, {"start": 655.56, "end": 656.22, "word": " هذه", "probability": 0.5478515625}, {"start": 656.22, "end": 656.9, "word": " أقل", "probability": 0.8113606770833334}, {"start": 656.9, "end": 657.42, "word": " منه", "probability": 0.91650390625}, {"start": 657.42, "end": 658.1, "word": " وهذا", "probability": 0.643310546875}, {"start": 658.1, "end": 658.9, "word": " إشارة", "probability": 0.9296875}, {"start": 658.9, "end": 659.76, "word": " الكثر،", "probability": 0.5950927734375}, {"start": 659.76, "end": 660.22, "word": " لا", "probability": 0.61181640625}, {"start": 660.22, "end": 660.46, "word": " مش", "probability": 0.908203125}, {"start": 660.46, "end": 660.96, "word": " مظبوط", "probability": 0.95126953125}, {"start": 660.96, "end": 661.82, "word": " غلط،", "probability": 0.72161865234375}, {"start": 661.82, "end": 662.42, "word": " هذا", "probability": 0.86962890625}, {"start": 662.42, "end": 662.98, "word": " الباص", "probability": 0.4700927734375}, {"start": 662.98, "end": 663.44, "word": " طبعا", "probability": 0.80633544921875}, {"start": 663.44, "end": 663.84, "word": " المقام", "probability": 0.9847005208333334}, {"start": 663.84, "end": 664.02, "word": " دي", "probability": 0.78271484375}, {"start": 664.02, "end": 664.44, "word": " يخليه", "probability": 0.7884521484375}, {"start": 664.44, "end": 664.72, "word": " زي", "probability": 0.99169921875}, {"start": 664.72, "end": 664.86, "word": " ما", "probability": 0.97607421875}, {"start": 664.86, "end": 665.48, "word": " هو،", "probability": 0.8095703125}, {"start": 665.48, "end": 665.72, "word": " اي", "probability": 0.6728515625}, {"start": 665.72, "end": 666.24, "word": " تلاتة", "probability": 0.88818359375}, {"start": 666.24, "end": 666.84, "word": " وسن", "probability": 0.630615234375}, {"start": 666.84, "end": 667.74, "word": " زي", "probability": 0.78857421875}, {"start": 667.74, "end": 668.22, "word": " اربعة", "probability": 0.8160807291666666}, {"start": 668.22, "end": 668.6, "word": " سن،", "probability": 0.9392903645833334}, {"start": 668.6, "end": 668.94, "word": " مظبوط", "probability": 0.9744140625}, {"start": 668.94, "end": 669.6, "word": " ذلك؟", "probability": 0.7522786458333334}, {"start": 669.6, "end": 669.96, "word": " مش", "probability": 0.93603515625}, {"start": 669.96, "end": 670.5, "word": " مظبوط", "probability": 0.9927734375}], "temperature": 1.0}, {"id": 31, "seek": 69777, "start": 671.03, "end": 697.77, "text": "بسيطة يبقى لو كتبتها تلاتة أس N بصير فعلا اتنين أس N أقل من تلاتة أس N لكل ال N من عند الواحد لغاية ما لنهايك و ده كلام صحيح يعني هذه تساوي اتنين في تلاتة أس N على تلاتة أس N زائد أربعة أس N", "tokens": [3555, 3794, 1829, 9566, 3660, 7251, 3555, 4587, 7578, 45164, 9122, 2655, 3555, 2655, 11296, 6055, 1211, 9307, 3660, 5551, 3794, 426, 4724, 9381, 13546, 6156, 3615, 15040, 1975, 2655, 1863, 9957, 5551, 3794, 426, 5551, 4587, 1211, 9154, 6055, 1211, 9307, 3660, 5551, 3794, 426, 5296, 28820, 2423, 426, 9154, 43242, 2423, 14407, 24401, 5296, 17082, 995, 10632, 19446, 5296, 1863, 11296, 1829, 4117, 4032, 11778, 3224, 28242, 10943, 20328, 5016, 1829, 5016, 37495, 22653, 29538, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8978, 6055, 1211, 9307, 3660, 5551, 3794, 426, 15844, 6055, 1211, 9307, 3660, 5551, 3794, 426, 30767, 16373, 3215, 5551, 25513, 27884, 5551, 3794, 426], "avg_logprob": -0.13006756166080097, "compression_ratio": 1.8636363636363635, "no_speech_prob": 0.0, "words": [{"start": 671.03, "end": 672.05, "word": "بسيطة", "probability": 0.96181640625}, {"start": 672.05, "end": 672.61, "word": " يبقى", "probability": 0.74591064453125}, {"start": 672.61, "end": 673.05, "word": " لو", "probability": 0.9150390625}, {"start": 673.05, "end": 674.21, "word": " كتبتها", "probability": 0.94755859375}, {"start": 674.21, "end": 674.99, "word": " تلاتة", "probability": 0.9234619140625}, {"start": 674.99, "end": 675.31, "word": " أس", "probability": 0.753662109375}, {"start": 675.31, "end": 675.69, "word": " N", "probability": 0.53076171875}, {"start": 675.69, "end": 676.69, "word": " بصير", "probability": 0.7815755208333334}, {"start": 676.69, "end": 677.17, "word": " فعلا", "probability": 0.9051106770833334}, {"start": 677.17, "end": 677.85, "word": " اتنين", "probability": 0.9400634765625}, {"start": 677.85, "end": 678.27, "word": " أس", "probability": 0.973876953125}, {"start": 678.27, "end": 678.63, "word": " N", "probability": 0.96484375}, {"start": 678.63, "end": 679.55, "word": " أقل", "probability": 0.8196614583333334}, {"start": 679.55, "end": 679.81, "word": " من", "probability": 0.994140625}, {"start": 679.81, "end": 680.35, "word": " تلاتة", "probability": 0.9852294921875}, {"start": 680.35, "end": 680.61, "word": " أس", "probability": 0.9853515625}, {"start": 680.61, "end": 680.85, "word": " N", "probability": 0.9638671875}, {"start": 680.85, "end": 681.51, "word": " لكل", "probability": 0.96826171875}, {"start": 681.51, "end": 681.75, "word": " ال", "probability": 0.8427734375}, {"start": 681.75, "end": 681.93, "word": " N", "probability": 0.8984375}, {"start": 681.93, "end": 682.11, "word": " من", "probability": 0.96630859375}, {"start": 682.11, "end": 682.31, "word": " عند", "probability": 0.90771484375}, {"start": 682.31, "end": 682.97, "word": " الواحد", "probability": 0.9381510416666666}, {"start": 682.97, "end": 683.79, "word": " لغاية", "probability": 0.9857177734375}, {"start": 683.79, "end": 684.03, "word": " ما", "probability": 0.482177734375}, {"start": 684.03, "end": 684.63, "word": " لنهايك", "probability": 0.706787109375}, {"start": 684.63, "end": 684.79, "word": " و", "probability": 0.31787109375}, {"start": 684.79, "end": 684.99, "word": " ده", "probability": 0.717041015625}, {"start": 684.99, "end": 685.53, "word": " كلام", "probability": 0.981689453125}, {"start": 685.53, "end": 686.35, "word": " صحيح", "probability": 0.9959716796875}, {"start": 686.35, "end": 687.09, "word": " يعني", "probability": 0.847900390625}, {"start": 687.09, "end": 687.57, "word": " هذه", "probability": 0.552734375}, {"start": 687.57, "end": 688.73, "word": " تساوي", "probability": 0.962890625}, {"start": 688.73, "end": 690.09, "word": " اتنين", "probability": 0.9814453125}, {"start": 690.09, "end": 690.65, "word": " في", "probability": 0.91455078125}, {"start": 690.65, "end": 691.73, "word": " تلاتة", "probability": 0.990966796875}, {"start": 691.73, "end": 692.23, "word": " أس", "probability": 0.990234375}, {"start": 692.23, "end": 692.71, "word": " N", "probability": 0.994140625}, {"start": 692.71, "end": 693.49, "word": " على", "probability": 0.72607421875}, {"start": 693.49, "end": 694.35, "word": " تلاتة", "probability": 0.9903564453125}, {"start": 694.35, "end": 694.73, "word": " أس", "probability": 0.991943359375}, {"start": 694.73, "end": 695.21, "word": " N", "probability": 0.9931640625}, {"start": 695.21, "end": 696.37, "word": " زائد", "probability": 0.8821614583333334}, {"start": 696.37, "end": 697.03, "word": " أربعة", "probability": 0.8673502604166666}, {"start": 697.03, "end": 697.43, "word": " أس", "probability": 0.99267578125}, {"start": 697.43, "end": 697.77, "word": " N", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 32, "seek": 71308, "start": 699.16, "end": 713.08, "text": "هذه تساوي اتنين من اتنين في تلاتة أُس M على أربعة أُس M", "tokens": [3224, 24192, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 9154, 1975, 2655, 1863, 9957, 8978, 6055, 1211, 9307, 3660, 5551, 10859, 3794, 376, 15844, 5551, 25513, 27884, 5551, 10859, 3794, 376], "avg_logprob": -0.3312026515151515, "compression_ratio": 1.263157894736842, "no_speech_prob": 0.0, "words": [{"start": 699.16, "end": 699.66, "word": "هذه", "probability": 0.580810546875}, {"start": 699.66, "end": 700.52, "word": " تساوي", "probability": 0.813232421875}, {"start": 700.52, "end": 701.96, "word": " اتنين", "probability": 0.78961181640625}, {"start": 701.96, "end": 705.04, "word": " من", "probability": 0.1363525390625}, {"start": 705.04, "end": 707.46, "word": " اتنين", "probability": 0.9599609375}, {"start": 707.46, "end": 707.7, "word": " في", "probability": 0.82177734375}, {"start": 707.7, "end": 708.88, "word": " تلاتة", "probability": 0.9620361328125}, {"start": 708.88, "end": 709.48, "word": " أُس", "probability": 0.5228271484375}, {"start": 709.48, "end": 710.04, "word": " M", "probability": 0.58349609375}, {"start": 710.04, "end": 711.14, "word": " على", "probability": 0.70703125}, {"start": 711.14, "end": 712.28, "word": " أربعة", "probability": 0.7805989583333334}, {"start": 712.28, "end": 712.74, "word": " أُس", "probability": 0.9471028645833334}, {"start": 712.74, "end": 713.08, "word": " M", "probability": 0.9150390625}], "temperature": 1.0}, {"id": 33, "seek": 73065, "start": 713.91, "end": 730.65, "text": "يعني شيلت من؟ شيلت التلاتة و السمنة اللي موجودة في المقام هذي. تمام؟ هذي مين؟ هذي اتنين في تلت تربع كلوس قداش. And مين هذي ال series؟ Geometric، convergent ولا divergent؟", "tokens": [40228, 22653, 13412, 26895, 2655, 9154, 22807, 13412, 26895, 2655, 16712, 1211, 9307, 3660, 4032, 21136, 27842, 3660, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 9673, 4587, 10943, 8032, 8848, 1829, 13, 46811, 10943, 22807, 8032, 8848, 1829, 3714, 9957, 22807, 8032, 8848, 1829, 1975, 2655, 1863, 9957, 8978, 6055, 1211, 2655, 6055, 25513, 3615, 28242, 41779, 12174, 3215, 33599, 13, 400, 3714, 9957, 8032, 8848, 1829, 2423, 2638, 22807, 2876, 29470, 12399, 9652, 6930, 49429, 18558, 6930, 22807], "avg_logprob": -0.3093749932944775, "compression_ratio": 1.5224719101123596, "no_speech_prob": 0.0, "words": [{"start": 713.91, "end": 714.31, "word": "يعني", "probability": 0.6925048828125}, {"start": 714.31, "end": 714.71, "word": " شيلت", "probability": 0.6638590494791666}, {"start": 714.71, "end": 715.33, "word": " من؟", "probability": 0.6982421875}, {"start": 715.33, "end": 715.87, "word": " شيلت", "probability": 0.9244791666666666}, {"start": 715.87, "end": 716.39, "word": " التلاتة", "probability": 0.803466796875}, {"start": 716.39, "end": 716.51, "word": " و", "probability": 0.564453125}, {"start": 716.51, "end": 716.87, "word": " السمنة", "probability": 0.47119140625}, {"start": 716.87, "end": 717.01, "word": " اللي", "probability": 0.712890625}, {"start": 717.01, "end": 717.43, "word": " موجودة", "probability": 0.9874267578125}, {"start": 717.43, "end": 717.55, "word": " في", "probability": 0.89599609375}, {"start": 717.55, "end": 718.21, "word": " المقام", "probability": 0.9871419270833334}, {"start": 718.21, "end": 718.97, "word": " هذي.", "probability": 0.5225423177083334}, {"start": 718.97, "end": 719.91, "word": " تمام؟", "probability": 0.8798828125}, {"start": 719.91, "end": 720.49, "word": " هذي", "probability": 0.8416341145833334}, {"start": 720.49, "end": 721.13, "word": " مين؟", "probability": 0.8880208333333334}, {"start": 721.13, "end": 721.69, "word": " هذي", "probability": 0.9658203125}, {"start": 721.69, "end": 722.33, "word": " اتنين", "probability": 0.94482421875}, {"start": 722.33, "end": 722.57, "word": " في", "probability": 0.841796875}, {"start": 722.57, "end": 723.15, "word": " تلت", "probability": 0.9344075520833334}, {"start": 723.15, "end": 723.73, "word": " تربع", "probability": 0.7723795572916666}, {"start": 723.73, "end": 724.39, "word": " كلوس", "probability": 0.753662109375}, {"start": 724.39, "end": 725.11, "word": " قداش.", "probability": 0.7677408854166666}, {"start": 725.83, "end": 726.23, "word": " And", "probability": 0.439208984375}, {"start": 726.23, "end": 726.67, "word": " مين", "probability": 0.822265625}, {"start": 726.67, "end": 727.25, "word": " هذي", "probability": 0.6991373697916666}, {"start": 727.25, "end": 727.29, "word": " ال", "probability": 0.79833984375}, {"start": 727.29, "end": 728.05, "word": " series؟", "probability": 0.764892578125}, {"start": 728.05, "end": 729.41, "word": " Geometric،", "probability": 0.6468505859375}, {"start": 729.41, "end": 729.85, "word": " convergent", "probability": 0.751220703125}, {"start": 729.85, "end": 729.99, "word": " ولا", "probability": 0.81103515625}, {"start": 729.99, "end": 730.65, "word": " divergent؟", "probability": 0.8186848958333334}], "temperature": 1.0}, {"id": 34, "seek": 75566, "start": 731.12, "end": 755.66, "text": "convert إذا اللي أقل منها بتكون مالها convert بقوله بطوة لكن summation للإتنين تلت تربع أس N من N equal one to infinity converge geometric series السبب because", "tokens": [1671, 3281, 11933, 15730, 13672, 1829, 5551, 4587, 1211, 9154, 11296, 39894, 30544, 3714, 6027, 11296, 7620, 4724, 39648, 3224, 4724, 9566, 2407, 3660, 44381, 28811, 24976, 28814, 2655, 1863, 9957, 6055, 1211, 2655, 6055, 25513, 3615, 5551, 3794, 426, 9154, 426, 2681, 472, 281, 13202, 41881, 33246, 2638, 21136, 3555, 3555, 570], "avg_logprob": -0.2834201455116272, "compression_ratio": 1.3132530120481927, "no_speech_prob": 0.0, "words": [{"start": 731.12, "end": 731.84, "word": "convert", "probability": 0.447998046875}, {"start": 731.84, "end": 732.18, "word": " إذا", "probability": 0.5823974609375}, {"start": 732.18, "end": 732.56, "word": " اللي", "probability": 0.749755859375}, {"start": 732.56, "end": 733.48, "word": " أقل", "probability": 0.97412109375}, {"start": 733.48, "end": 733.9, "word": " منها", "probability": 0.97412109375}, {"start": 733.9, "end": 734.26, "word": " بتكون", "probability": 0.7357177734375}, {"start": 734.26, "end": 734.84, "word": " مالها", "probability": 0.8942057291666666}, {"start": 734.84, "end": 735.76, "word": " convert", "probability": 0.1907958984375}, {"start": 735.76, "end": 737.38, "word": " بقوله", "probability": 0.80078125}, {"start": 737.38, "end": 738.22, "word": " بطوة", "probability": 0.8009033203125}, {"start": 738.22, "end": 739.08, "word": " لكن", "probability": 0.5966796875}, {"start": 739.08, "end": 740.72, "word": " summation", "probability": 0.6025390625}, {"start": 740.72, "end": 742.66, "word": " للإتنين", "probability": 0.7943359375}, {"start": 742.66, "end": 743.42, "word": " تلت", "probability": 0.9625651041666666}, {"start": 743.42, "end": 744.02, "word": " تربع", "probability": 0.7682291666666666}, {"start": 744.02, "end": 744.46, "word": " أس", "probability": 0.79541015625}, {"start": 744.46, "end": 744.92, "word": " N", "probability": 0.62841796875}, {"start": 744.92, "end": 745.58, "word": " من", "probability": 0.94384765625}, {"start": 745.58, "end": 745.96, "word": " N", "probability": 0.83349609375}, {"start": 745.96, "end": 746.42, "word": " equal", "probability": 0.44287109375}, {"start": 746.42, "end": 746.84, "word": " one", "probability": 0.8603515625}, {"start": 746.84, "end": 747.08, "word": " to", "probability": 0.94091796875}, {"start": 747.08, "end": 747.82, "word": " infinity", "probability": 0.86376953125}, {"start": 747.82, "end": 749.78, "word": " converge", "probability": 0.748046875}, {"start": 749.78, "end": 751.42, "word": " geometric", "probability": 0.52294921875}, {"start": 751.42, "end": 753.34, "word": " series", "probability": 0.85595703125}, {"start": 753.34, "end": 754.76, "word": " السبب", "probability": 0.9856770833333334}, {"start": 754.76, "end": 755.66, "word": " because", "probability": 0.84423828125}], "temperature": 1.0}, {"id": 35, "seek": 77744, "start": 761.84, "end": 777.44, "text": "الأساس تبع ال series يسوى تلت اربعة والتلت اربعة اقل من الواحد الصحيح بروح بقوله by the comparisons of the series", "tokens": [6027, 10721, 3794, 32277, 6055, 3555, 3615, 2423, 2638, 7251, 3794, 2407, 7578, 6055, 1211, 2655, 1975, 25513, 27884, 16070, 2655, 1211, 2655, 1975, 25513, 27884, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 4724, 32887, 5016, 4724, 39648, 3224, 538, 264, 33157, 295, 264, 2638], "avg_logprob": -0.33406249403953553, "compression_ratio": 1.3515625, "no_speech_prob": 0.0, "words": [{"start": 761.84, "end": 763.2, "word": "الأساس", "probability": 0.661102294921875}, {"start": 763.2, "end": 763.62, "word": " تبع", "probability": 0.708251953125}, {"start": 763.62, "end": 763.84, "word": " ال", "probability": 0.62744140625}, {"start": 763.84, "end": 764.18, "word": " series", "probability": 0.334228515625}, {"start": 764.18, "end": 765.36, "word": " يسوى", "probability": 0.72833251953125}, {"start": 765.36, "end": 765.84, "word": " تلت", "probability": 0.84716796875}, {"start": 765.84, "end": 766.3, "word": " اربعة", "probability": 0.6739908854166666}, {"start": 766.3, "end": 767.22, "word": " والتلت", "probability": 0.7978515625}, {"start": 767.22, "end": 767.62, "word": " اربعة", "probability": 0.93701171875}, {"start": 767.62, "end": 768.3, "word": " اقل", "probability": 0.8746744791666666}, {"start": 768.3, "end": 768.54, "word": " من", "probability": 0.9833984375}, {"start": 768.54, "end": 769.16, "word": " الواحد", "probability": 0.9098307291666666}, {"start": 769.16, "end": 769.84, "word": " الصحيح", "probability": 0.905029296875}, {"start": 769.84, "end": 770.76, "word": " بروح", "probability": 0.7529296875}, {"start": 770.76, "end": 771.6, "word": " بقوله", "probability": 0.8689778645833334}, {"start": 771.6, "end": 772.16, "word": " by", "probability": 0.6572265625}, {"start": 772.16, "end": 773.3, "word": " the", "probability": 0.85546875}, {"start": 773.3, "end": 774.66, "word": " comparisons", "probability": 0.3095703125}, {"start": 774.66, "end": 775.54, "word": " of", "probability": 0.56689453125}, {"start": 775.54, "end": 776.26, "word": " the", "probability": 0.86572265625}, {"start": 776.26, "end": 777.44, "word": " series", "probability": 0.892578125}], "temperature": 1.0}, {"id": 36, "seek": 79659, "start": 778.61, "end": 796.59, "text": "اللي هي اللي أقل منها summation من n equal one to infinity للاتنين أسن زائد تلاتة أسن وهنا أربع أسن converge وانتهينا من المسألة", "tokens": [6027, 20292, 39896, 13672, 1829, 5551, 4587, 1211, 9154, 11296, 28811, 9154, 297, 2681, 472, 281, 13202, 24976, 9307, 1863, 9957, 5551, 3794, 1863, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 5551, 3794, 1863, 37037, 8315, 5551, 25513, 3615, 5551, 3794, 1863, 41881, 4032, 7649, 47395, 1829, 8315, 9154, 9673, 3794, 10721, 37977], "avg_logprob": -0.2782118143858733, "compression_ratio": 1.3680555555555556, "no_speech_prob": 0.0, "words": [{"start": 778.61, "end": 778.97, "word": "اللي", "probability": 0.46240234375}, {"start": 778.97, "end": 779.11, "word": " هي", "probability": 0.46435546875}, {"start": 779.11, "end": 779.33, "word": " اللي", "probability": 0.6168212890625}, {"start": 779.33, "end": 780.11, "word": " أقل", "probability": 0.9013671875}, {"start": 780.11, "end": 780.75, "word": " منها", "probability": 0.99365234375}, {"start": 780.75, "end": 782.07, "word": " summation", "probability": 0.63330078125}, {"start": 782.07, "end": 782.99, "word": " من", "probability": 0.904296875}, {"start": 782.99, "end": 783.35, "word": " n", "probability": 0.438720703125}, {"start": 783.35, "end": 783.81, "word": " equal", "probability": 0.211181640625}, {"start": 783.81, "end": 784.19, "word": " one", "probability": 0.74951171875}, {"start": 784.19, "end": 784.47, "word": " to", "probability": 0.9365234375}, {"start": 784.47, "end": 785.23, "word": " infinity", "probability": 0.85546875}, {"start": 785.23, "end": 786.67, "word": " للاتنين", "probability": 0.65301513671875}, {"start": 786.67, "end": 787.35, "word": " أسن", "probability": 0.5515950520833334}, {"start": 787.35, "end": 788.03, "word": " زائد", "probability": 0.7745768229166666}, {"start": 788.03, "end": 788.69, "word": " تلاتة", "probability": 0.8951416015625}, {"start": 788.69, "end": 789.45, "word": " أسن", "probability": 0.95751953125}, {"start": 789.45, "end": 790.61, "word": " وهنا", "probability": 0.796630859375}, {"start": 790.61, "end": 791.25, "word": " أربع", "probability": 0.8211263020833334}, {"start": 791.25, "end": 792.05, "word": " أسن", "probability": 0.9864908854166666}, {"start": 792.05, "end": 792.93, "word": " converge", "probability": 0.265380859375}, {"start": 792.93, "end": 794.23, "word": " وانتهينا", "probability": 0.96748046875}, {"start": 794.23, "end": 794.79, "word": " من", "probability": 0.97900390625}, {"start": 794.79, "end": 796.59, "word": " المسألة", "probability": 0.93017578125}], "temperature": 1.0}, {"id": 37, "seek": 83327, "start": 809.95, "end": 833.27, "text": "سؤال العاشر summation من N equal one to infinity لل N factorial ال square root لل N عالمين على N زائد اتنين اللي هو factorial", "tokens": [3794, 33604, 6027, 18863, 33599, 2288, 28811, 9154, 426, 2681, 472, 281, 13202, 24976, 426, 36916, 2423, 3732, 5593, 24976, 426, 6225, 45340, 9957, 15844, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 36916], "avg_logprob": -0.22841282973164007, "compression_ratio": 1.2462686567164178, "no_speech_prob": 0.0, "words": [{"start": 809.95, "end": 810.55, "word": "سؤال", "probability": 0.9210611979166666}, {"start": 810.55, "end": 811.39, "word": " العاشر", "probability": 0.9327799479166666}, {"start": 811.39, "end": 816.31, "word": " summation", "probability": 0.33154296875}, {"start": 816.31, "end": 817.75, "word": " من", "probability": 0.93603515625}, {"start": 817.75, "end": 818.25, "word": " N", "probability": 0.42919921875}, {"start": 818.25, "end": 819.23, "word": " equal", "probability": 0.426513671875}, {"start": 819.23, "end": 819.83, "word": " one", "probability": 0.80712890625}, {"start": 819.83, "end": 820.27, "word": " to", "probability": 0.93310546875}, {"start": 820.27, "end": 821.39, "word": " infinity", "probability": 0.84716796875}, {"start": 821.39, "end": 822.39, "word": " لل", "probability": 0.7099609375}, {"start": 822.39, "end": 822.89, "word": " N", "probability": 0.78564453125}, {"start": 822.89, "end": 823.95, "word": " factorial", "probability": 0.77783203125}, {"start": 823.95, "end": 824.95, "word": " ال", "probability": 0.21240234375}, {"start": 824.95, "end": 825.45, "word": " square", "probability": 0.7998046875}, {"start": 825.45, "end": 826.33, "word": " root", "probability": 0.9072265625}, {"start": 826.33, "end": 826.75, "word": " لل", "probability": 0.78662109375}, {"start": 826.75, "end": 827.35, "word": " N", "probability": 0.6435546875}, {"start": 827.35, "end": 828.79, "word": " عالمين", "probability": 0.8047688802083334}, {"start": 828.79, "end": 829.13, "word": " على", "probability": 0.73046875}, {"start": 829.13, "end": 829.73, "word": " N", "probability": 0.9365234375}, {"start": 829.73, "end": 830.89, "word": " زائد", "probability": 0.8787434895833334}, {"start": 830.89, "end": 831.77, "word": " اتنين", "probability": 0.9681396484375}, {"start": 831.77, "end": 832.37, "word": " اللي", "probability": 0.978759765625}, {"start": 832.37, "end": 832.57, "word": " هو", "probability": 0.9931640625}, {"start": 832.57, "end": 833.27, "word": " factorial", "probability": 0.78173828125}], "temperature": 1.0}, {"id": 38, "seek": 86822, "start": 844.9, "end": 868.22, "text": "ليس بالضرورة اني ابحث convergence و divergence مباشرة، اذا حابب تحط المسألة في شكل جديد، اتوقع الله، مش حابب، خلاص درب هنا الأقل من والأكبر من، تمام؟ اه تختصر دق أن زاد اتنين، أن زاد اتنين، ودق اخرون اتنين", "tokens": [20292, 3794, 20666, 11242, 2288, 13063, 3660, 16472, 1829, 48127, 5016, 12984, 32181, 4032, 47387, 3714, 3555, 33599, 25720, 12399, 1975, 15730, 11331, 16758, 3555, 6055, 5016, 9566, 9673, 3794, 10721, 37977, 8978, 13412, 28820, 10874, 16254, 3215, 12399, 1975, 2655, 30543, 3615, 21984, 12399, 37893, 11331, 16758, 3555, 12399, 16490, 1211, 33546, 11778, 25513, 34105, 16247, 4587, 1211, 9154, 16070, 10721, 4117, 26890, 9154, 12399, 46811, 10943, 22807, 1975, 3224, 6055, 46456, 9381, 2288, 11778, 4587, 14739, 30767, 18513, 1975, 2655, 1863, 9957, 12399, 14739, 30767, 18513, 1975, 2655, 1863, 9957, 12399, 4032, 3215, 4587, 1975, 34740, 11536, 1975, 2655, 1863, 9957], "avg_logprob": -0.3401442410854193, "compression_ratio": 1.6956521739130435, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 844.9, "end": 845.86, "word": "ليس", "probability": 0.657958984375}, {"start": 845.86, "end": 846.82, "word": " بالضرورة", "probability": 0.96826171875}, {"start": 846.82, "end": 847.34, "word": " اني", "probability": 0.3614501953125}, {"start": 847.34, "end": 847.7, "word": " ابحث", "probability": 0.92919921875}, {"start": 847.7, "end": 848.34, "word": " convergence", "probability": 0.8076171875}, {"start": 848.34, "end": 848.62, "word": " و", "probability": 0.9453125}, {"start": 848.62, "end": 849.1, "word": " divergence", "probability": 0.9560546875}, {"start": 849.1, "end": 851.1, "word": " مباشرة،", "probability": 0.84609375}, {"start": 851.1, "end": 851.64, "word": " اذا", "probability": 0.837646484375}, {"start": 851.64, "end": 852.04, "word": " حابب", "probability": 0.97216796875}, {"start": 852.04, "end": 852.48, "word": " تحط", "probability": 0.9697265625}, {"start": 852.48, "end": 853.1, "word": " المسألة", "probability": 0.915283203125}, {"start": 853.1, "end": 853.3, "word": " في", "probability": 0.8408203125}, {"start": 853.3, "end": 853.66, "word": " شكل", "probability": 0.92578125}, {"start": 853.66, "end": 854.22, "word": " جديد،", "probability": 0.8836669921875}, {"start": 854.22, "end": 854.58, "word": " اتوقع", "probability": 0.8323974609375}, {"start": 854.58, "end": 855.06, "word": " الله،", "probability": 0.4571533203125}, {"start": 855.06, "end": 855.34, "word": " مش", "probability": 0.88330078125}, {"start": 855.34, "end": 856.44, "word": " حابب،", "probability": 0.8968505859375}, {"start": 856.44, "end": 856.8, "word": " خلاص", "probability": 0.92041015625}, {"start": 856.8, "end": 857.38, "word": " درب", "probability": 0.6971435546875}, {"start": 857.38, "end": 857.92, "word": " هنا", "probability": 0.9609375}, {"start": 857.92, "end": 858.9, "word": " الأقل", "probability": 0.9405924479166666}, {"start": 858.9, "end": 859.32, "word": " من", "probability": 0.98876953125}, {"start": 859.32, "end": 860.66, "word": " والأكبر", "probability": 0.83270263671875}, {"start": 860.66, "end": 861.52, "word": " من،", "probability": 0.7353515625}, {"start": 861.52, "end": 862.46, "word": " تمام؟", "probability": 0.7955729166666666}, {"start": 862.46, "end": 862.62, "word": " اه", "probability": 0.822265625}, {"start": 862.62, "end": 863.8, "word": " تختصر", "probability": 0.73687744140625}, {"start": 863.8, "end": 864.66, "word": " دق", "probability": 0.19757080078125}, {"start": 864.66, "end": 865.0, "word": " أن", "probability": 0.3623046875}, {"start": 865.0, "end": 865.26, "word": " زاد", "probability": 0.6939697265625}, {"start": 865.26, "end": 865.7, "word": " اتنين،", "probability": 0.651220703125}, {"start": 865.7, "end": 865.9, "word": " أن", "probability": 0.36767578125}, {"start": 865.9, "end": 866.74, "word": " زاد", "probability": 0.97509765625}, {"start": 866.74, "end": 867.16, "word": " اتنين،", "probability": 0.7345703125}, {"start": 867.16, "end": 867.68, "word": " ودق", "probability": 0.7503255208333334}, {"start": 867.68, "end": 868.02, "word": " اخرون", "probability": 0.4326985677083333}, {"start": 868.02, "end": 868.22, "word": " اتنين", "probability": 0.6668701171875}], "temperature": 1.0}, {"id": 39, "seek": 88686, "start": 869.28, "end": 886.86, "text": "100% يعني قصد زميلكم نحط المسألة في شكل جديد قبل أن نبحث ال convergence و ال divergence لهذه ال series بقول يعني ايه؟ يعني هذه هي summation من n equal one to infinity", "tokens": [6879, 4, 37495, 22653, 12174, 9381, 3215, 30767, 2304, 1829, 23275, 2304, 8717, 5016, 9566, 9673, 3794, 10721, 37977, 8978, 13412, 28820, 10874, 16254, 3215, 12174, 36150, 14739, 8717, 49628, 12984, 2423, 32181, 4032, 2423, 47387, 46740, 24192, 2423, 2638, 4724, 39648, 37495, 22653, 1975, 1829, 3224, 22807, 37495, 22653, 29538, 39896, 28811, 9154, 297, 2681, 472, 281, 13202], "avg_logprob": -0.21197916219631832, "compression_ratio": 1.353932584269663, "no_speech_prob": 0.0, "words": [{"start": 869.28, "end": 869.64, "word": "100", "probability": 0.11273193359375}, {"start": 869.64, "end": 870.14, "word": "%", "probability": 0.78369140625}, {"start": 870.14, "end": 870.92, "word": " يعني", "probability": 0.778564453125}, {"start": 870.92, "end": 871.86, "word": " قصد", "probability": 0.9523111979166666}, {"start": 871.86, "end": 872.6, "word": " زميلكم", "probability": 0.81279296875}, {"start": 872.6, "end": 873.12, "word": " نحط", "probability": 0.7755533854166666}, {"start": 873.12, "end": 873.78, "word": " المسألة", "probability": 0.9639892578125}, {"start": 873.78, "end": 873.96, "word": " في", "probability": 0.83740234375}, {"start": 873.96, "end": 874.48, "word": " شكل", "probability": 0.95654296875}, {"start": 874.48, "end": 875.42, "word": " جديد", "probability": 0.99267578125}, {"start": 875.42, "end": 875.98, "word": " قبل", "probability": 0.984619140625}, {"start": 875.98, "end": 876.2, "word": " أن", "probability": 0.55908203125}, {"start": 876.2, "end": 876.6, "word": " نبحث", "probability": 0.9749348958333334}, {"start": 876.6, "end": 876.74, "word": " ال", "probability": 0.80126953125}, {"start": 876.74, "end": 877.24, "word": " convergence", "probability": 0.8671875}, {"start": 877.24, "end": 877.6, "word": " و", "probability": 0.67822265625}, {"start": 877.6, "end": 877.7, "word": " ال", "probability": 0.79931640625}, {"start": 877.7, "end": 878.2, "word": " divergence", "probability": 0.98681640625}, {"start": 878.2, "end": 878.92, "word": " لهذه", "probability": 0.946044921875}, {"start": 878.92, "end": 879.1, "word": " ال", "probability": 0.5927734375}, {"start": 879.1, "end": 879.5, "word": " series", "probability": 0.7529296875}, {"start": 879.5, "end": 880.36, "word": " بقول", "probability": 0.759765625}, {"start": 880.36, "end": 880.9, "word": " يعني", "probability": 0.891845703125}, {"start": 880.9, "end": 881.52, "word": " ايه؟", "probability": 0.81884765625}, {"start": 881.52, "end": 881.94, "word": " يعني", "probability": 0.8544921875}, {"start": 881.94, "end": 882.38, "word": " هذه", "probability": 0.861328125}, {"start": 882.38, "end": 882.84, "word": " هي", "probability": 0.93310546875}, {"start": 882.84, "end": 883.66, "word": " summation", "probability": 0.91259765625}, {"start": 883.66, "end": 884.12, "word": " من", "probability": 0.96142578125}, {"start": 884.12, "end": 884.48, "word": " n", "probability": 0.435302734375}, {"start": 884.48, "end": 884.94, "word": " equal", "probability": 0.1766357421875}, {"start": 884.94, "end": 885.4, "word": " one", "probability": 0.67919921875}, {"start": 885.4, "end": 885.78, "word": " to", "probability": 0.95703125}, {"start": 885.78, "end": 886.86, "word": " infinity", "probability": 0.8427734375}], "temperature": 1.0}, {"id": 40, "seek": 90111, "start": 887.37, "end": 901.11, "text": "هذا ال factorial يفكه N زائد 2 في N زائد 1 في N factorial", "tokens": [3224, 15730, 2423, 5952, 831, 7251, 5172, 4117, 3224, 426, 30767, 16373, 3215, 568, 8978, 426, 30767, 16373, 3215, 502, 8978, 426, 36916], "avg_logprob": -0.4853515699505806, "compression_ratio": 1.21875, "no_speech_prob": 0.0, "words": [{"start": 887.37, "end": 888.15, "word": "هذا", "probability": 0.694091796875}, {"start": 888.15, "end": 888.73, "word": " ال", "probability": 0.339599609375}, {"start": 888.73, "end": 893.33, "word": " factorial", "probability": 0.4117431640625}, {"start": 893.33, "end": 894.33, "word": " يفكه", "probability": 0.53350830078125}, {"start": 894.33, "end": 894.77, "word": " N", "probability": 0.1932373046875}, {"start": 894.77, "end": 895.63, "word": " زائد", "probability": 0.7265625}, {"start": 895.63, "end": 896.25, "word": " 2", "probability": 0.7705078125}, {"start": 896.25, "end": 896.89, "word": " في", "probability": 0.53125}, {"start": 896.89, "end": 897.35, "word": " N", "probability": 0.8701171875}, {"start": 897.35, "end": 898.09, "word": " زائد", "probability": 0.9261067708333334}, {"start": 898.09, "end": 898.85, "word": " 1", "probability": 0.9541015625}, {"start": 898.85, "end": 899.53, "word": " في", "probability": 0.84619140625}, {"start": 899.53, "end": 900.19, "word": " N", "probability": 0.5224609375}, {"start": 900.19, "end": 901.11, "word": " factorial", "probability": 0.72998046875}], "temperature": 1.0}, {"id": 41, "seek": 91359, "start": 904.89, "end": 913.59, "text": "هذا الكلام يساوي ال summation من n equal one to infinity لل square root لل n على", "tokens": [3224, 15730, 2423, 28820, 10943, 7251, 3794, 995, 45865, 2423, 28811, 9154, 297, 2681, 472, 281, 13202, 24976, 3732, 5593, 24976, 297, 15844], "avg_logprob": -0.5924478967984518, "compression_ratio": 1.09375, "no_speech_prob": 0.0, "words": [{"start": 904.89, "end": 905.85, "word": "هذا", "probability": 0.6435546875}, {"start": 905.85, "end": 906.41, "word": " الكلام", "probability": 0.8478190104166666}, {"start": 906.41, "end": 907.09, "word": " يساوي", "probability": 0.5223388671875}, {"start": 907.09, "end": 907.25, "word": " ال", "probability": 0.59423828125}, {"start": 907.25, "end": 908.03, "word": " summation", "probability": 0.259765625}, {"start": 908.03, "end": 908.45, "word": " من", "probability": 0.87451171875}, {"start": 908.45, "end": 908.77, "word": " n", "probability": 0.401123046875}, {"start": 908.77, "end": 909.25, "word": " equal", "probability": 0.081787109375}, {"start": 909.25, "end": 909.61, "word": " one", "probability": 0.74755859375}, {"start": 909.61, "end": 909.87, "word": " to", "probability": 0.8818359375}, {"start": 909.87, "end": 910.59, "word": " infinity", "probability": 0.859375}, {"start": 910.59, "end": 911.31, "word": " لل", "probability": 0.368896484375}, {"start": 911.31, "end": 911.81, "word": " square", "probability": 0.49169921875}, {"start": 911.81, "end": 912.49, "word": " root", "probability": 0.849609375}, {"start": 912.49, "end": 912.81, "word": " لل", "probability": 0.765625}, {"start": 912.81, "end": 913.23, "word": " n", "probability": 0.2900390625}, {"start": 913.23, "end": 913.59, "word": " على", "probability": 0.5859375}], "temperature": 1.0}, {"id": 42, "seek": 94890, "start": 919.48, "end": 948.9, "text": "يبقى هنا باجي بقول N زائد اتنين في ال N زائد واحد اذا صارت المسألة في شكل جديد سهل الان اتحكم فيه و اعرف ايه هو converge او bye bye طبعا ال bus جاهز جدر التربيه ل M المقام بدي اشيل الواحد و اتنين بصير N في M جداشي M تربيه و فوق نقص نص", "tokens": [1829, 3555, 4587, 7578, 34105, 4724, 26108, 1829, 4724, 39648, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 8978, 2423, 426, 30767, 16373, 3215, 36764, 24401, 1975, 15730, 20328, 9640, 2655, 9673, 3794, 10721, 37977, 8978, 13412, 28820, 10874, 16254, 3215, 8608, 3224, 1211, 2423, 7649, 1975, 2655, 5016, 24793, 8978, 3224, 4032, 1975, 3615, 28480, 1975, 1829, 3224, 31439, 41881, 1975, 2407, 6543, 6543, 23032, 3555, 3615, 995, 2423, 1255, 10874, 40294, 11622, 10874, 3215, 2288, 16712, 2288, 21292, 3224, 5296, 376, 9673, 4587, 10943, 4724, 16254, 1975, 8592, 26895, 2423, 14407, 24401, 4032, 1975, 2655, 1863, 9957, 4724, 9381, 13546, 426, 8978, 376, 10874, 3215, 33599, 1829, 376, 6055, 2288, 21292, 3224, 4032, 6156, 30543, 8717, 4587, 9381, 8717, 9381], "avg_logprob": -0.260924792386652, "compression_ratio": 1.722466960352423, "no_speech_prob": 0.0, "words": [{"start": 919.48, "end": 920.06, "word": "يبقى", "probability": 0.69390869140625}, {"start": 920.06, "end": 920.36, "word": " هنا", "probability": 0.9306640625}, {"start": 920.36, "end": 920.78, "word": " باجي", "probability": 0.8414713541666666}, {"start": 920.78, "end": 921.22, "word": " بقول", "probability": 0.933349609375}, {"start": 921.22, "end": 921.76, "word": " N", "probability": 0.298828125}, {"start": 921.76, "end": 922.62, "word": " زائد", "probability": 0.7928059895833334}, {"start": 922.62, "end": 923.42, "word": " اتنين", "probability": 0.874267578125}, {"start": 923.42, "end": 923.74, "word": " في", "probability": 0.69287109375}, {"start": 923.74, "end": 924.04, "word": " ال", "probability": 0.84423828125}, {"start": 924.04, "end": 924.38, "word": " N", "probability": 0.87060546875}, {"start": 924.38, "end": 925.84, "word": " زائد", "probability": 0.9599609375}, {"start": 925.84, "end": 926.4, "word": " واحد", "probability": 0.970458984375}, {"start": 926.4, "end": 927.18, "word": " اذا", "probability": 0.6414794921875}, {"start": 927.18, "end": 927.74, "word": " صارت", "probability": 0.8357747395833334}, {"start": 927.74, "end": 928.36, "word": " المسألة", "probability": 0.929443359375}, {"start": 928.36, "end": 928.62, "word": " في", "probability": 0.89111328125}, {"start": 928.62, "end": 929.1, "word": " شكل", "probability": 0.963134765625}, {"start": 929.1, "end": 929.8, "word": " جديد", "probability": 0.9943033854166666}, {"start": 929.8, "end": 930.5, "word": " سهل", "probability": 0.9947916666666666}, {"start": 930.5, "end": 931.24, "word": " الان", "probability": 0.6536865234375}, {"start": 931.24, "end": 932.46, "word": " اتحكم", "probability": 0.970947265625}, {"start": 932.46, "end": 932.82, "word": " فيه", "probability": 0.98291015625}, {"start": 932.82, "end": 932.96, "word": " و", "probability": 0.6064453125}, {"start": 932.96, "end": 933.34, "word": " اعرف", "probability": 0.97021484375}, {"start": 933.34, "end": 933.52, "word": " ايه", "probability": 0.6796875}, {"start": 933.52, "end": 933.78, "word": " هو", "probability": 0.398193359375}, {"start": 933.78, "end": 934.48, "word": " converge", "probability": 0.64501953125}, {"start": 934.48, "end": 935.14, "word": " او", "probability": 0.910888671875}, {"start": 935.14, "end": 935.64, "word": " bye", "probability": 0.056427001953125}, {"start": 935.64, "end": 935.84, "word": " bye", "probability": 0.68359375}, {"start": 935.84, "end": 936.76, "word": " طبعا", "probability": 0.9647216796875}, {"start": 936.76, "end": 936.92, "word": " ال", "probability": 0.6455078125}, {"start": 936.92, "end": 937.12, "word": " bus", "probability": 0.65771484375}, {"start": 937.12, "end": 937.88, "word": " جاهز", "probability": 0.9842122395833334}, {"start": 937.88, "end": 938.46, "word": " جدر", "probability": 0.8460286458333334}, {"start": 938.46, "end": 938.96, "word": " التربيه", "probability": 0.7291259765625}, {"start": 938.96, "end": 939.14, "word": " ل", "probability": 0.74755859375}, {"start": 939.14, "end": 939.38, "word": " M", "probability": 0.56884765625}, {"start": 939.38, "end": 940.66, "word": " المقام", "probability": 0.9469401041666666}, {"start": 940.66, "end": 940.9, "word": " بدي", "probability": 0.369140625}, {"start": 940.9, "end": 941.22, "word": " اشيل", "probability": 0.89501953125}, {"start": 941.22, "end": 941.82, "word": " الواحد", "probability": 0.8229166666666666}, {"start": 941.82, "end": 942.1, "word": " و", "probability": 0.86279296875}, {"start": 942.1, "end": 942.78, "word": " اتنين", "probability": 0.84478759765625}, {"start": 942.78, "end": 943.24, "word": " بصير", "probability": 0.8868815104166666}, {"start": 943.24, "end": 943.9, "word": " N", "probability": 0.8740234375}, {"start": 943.9, "end": 944.24, "word": " في", "probability": 0.83740234375}, {"start": 944.24, "end": 944.7, "word": " M", "probability": 0.87109375}, {"start": 944.7, "end": 945.72, "word": " جداشي", "probability": 0.52801513671875}, {"start": 945.72, "end": 946.78, "word": " M", "probability": 0.59326171875}, {"start": 946.78, "end": 947.22, "word": " تربيه", "probability": 0.8990478515625}, {"start": 947.22, "end": 947.34, "word": " و", "probability": 0.65771484375}, {"start": 947.34, "end": 947.64, "word": " فوق", "probability": 0.729248046875}, {"start": 947.64, "end": 948.38, "word": " نقص", "probability": 0.6929931640625}, {"start": 948.38, "end": 948.9, "word": " نص", "probability": 0.986572265625}], "temperature": 1.0}, {"id": 43, "seek": 96551, "start": 956.55, "end": 965.51, "text": "يا راجل يا راجل يا راجل كم مرة نكتب ال N أكبر من الواحد الصحيح بتبقى convert؟", "tokens": [25528, 12602, 26108, 1211, 35186, 12602, 26108, 1211, 35186, 12602, 26108, 1211, 9122, 2304, 3714, 25720, 8717, 4117, 2655, 3555, 2423, 426, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 39894, 3555, 4587, 7578, 18053, 17721, 22807], "avg_logprob": -0.3315548780487805, "compression_ratio": 1.3541666666666667, "no_speech_prob": 0.0, "words": [{"start": 956.55, "end": 957.39, "word": "يا", "probability": 0.05755615234375}, {"start": 957.39, "end": 958.23, "word": " راجل", "probability": 0.97900390625}, {"start": 958.23, "end": 958.41, "word": " يا", "probability": 0.525390625}, {"start": 958.41, "end": 959.25, "word": " راجل", "probability": 0.9952799479166666}, {"start": 959.25, "end": 959.37, "word": " يا", "probability": 0.61328125}, {"start": 959.37, "end": 960.93, "word": " راجل", "probability": 0.9970703125}, {"start": 960.93, "end": 961.35, "word": " كم", "probability": 0.6468505859375}, {"start": 961.35, "end": 961.63, "word": " مرة", "probability": 0.984375}, {"start": 961.63, "end": 962.11, "word": " نكتب", "probability": 0.96337890625}, {"start": 962.11, "end": 962.35, "word": " ال", "probability": 0.300048828125}, {"start": 962.35, "end": 962.61, "word": " N", "probability": 0.458251953125}, {"start": 962.61, "end": 963.17, "word": " أكبر", "probability": 0.9560546875}, {"start": 963.17, "end": 963.33, "word": " من", "probability": 0.97265625}, {"start": 963.33, "end": 963.75, "word": " الواحد", "probability": 0.7547200520833334}, {"start": 963.75, "end": 964.19, "word": " الصحيح", "probability": 0.877685546875}, {"start": 964.19, "end": 964.59, "word": " بتبقى", "probability": 0.75958251953125}, {"start": 964.59, "end": 965.51, "word": " convert؟", "probability": 0.5084635416666666}], "temperature": 1.0}, {"id": 44, "seek": 99044, "start": 966.02, "end": 990.44, "text": "يبقى تستعجلش تاني مرة يبقى بناء عليه تبقى ال serious money converge إذا عند المقارنة بدي أمشي أقل من إذا باجي بقوله صار عندي جذر ال N على N زائد اتنين N زائد واحد أقل من جذر ال N على N في N", "tokens": [1829, 3555, 4587, 7578, 6055, 14851, 3615, 7435, 1211, 8592, 6055, 7649, 1829, 3714, 25720, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 6055, 3555, 4587, 7578, 2423, 3156, 1460, 41881, 11933, 15730, 43242, 9673, 4587, 9640, 1863, 3660, 4724, 16254, 5551, 2304, 8592, 1829, 5551, 4587, 1211, 9154, 11933, 15730, 4724, 26108, 1829, 4724, 39648, 3224, 20328, 9640, 18871, 16254, 10874, 8848, 2288, 2423, 426, 15844, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 426, 30767, 16373, 3215, 36764, 24401, 5551, 4587, 1211, 9154, 10874, 8848, 2288, 2423, 426, 15844, 426, 8978, 426], "avg_logprob": -0.17353723071357038, "compression_ratio": 1.6577540106951871, "no_speech_prob": 0.0, "words": [{"start": 966.02, "end": 966.64, "word": "يبقى", "probability": 0.7542724609375}, {"start": 966.64, "end": 967.4, "word": " تستعجلش", "probability": 0.820556640625}, {"start": 967.4, "end": 967.7, "word": " تاني", "probability": 0.849609375}, {"start": 967.7, "end": 968.06, "word": " مرة", "probability": 0.99267578125}, {"start": 968.06, "end": 968.96, "word": " يبقى", "probability": 0.86572265625}, {"start": 968.96, "end": 969.4, "word": " بناء", "probability": 0.84814453125}, {"start": 969.4, "end": 969.96, "word": " عليه", "probability": 0.5615234375}, {"start": 969.96, "end": 970.6, "word": " تبقى", "probability": 0.9534912109375}, {"start": 970.6, "end": 970.66, "word": " ال", "probability": 0.78564453125}, {"start": 970.66, "end": 970.92, "word": " serious", "probability": 0.359130859375}, {"start": 970.92, "end": 971.16, "word": " money", "probability": 0.493896484375}, {"start": 971.16, "end": 971.84, "word": " converge", "probability": 0.53076171875}, {"start": 971.84, "end": 972.3, "word": " إذا", "probability": 0.744384765625}, {"start": 972.3, "end": 972.7, "word": " عند", "probability": 0.97314453125}, {"start": 972.7, "end": 973.64, "word": " المقارنة", "probability": 0.9828125}, {"start": 973.64, "end": 973.9, "word": " بدي", "probability": 0.68798828125}, {"start": 973.9, "end": 974.34, "word": " أمشي", "probability": 0.9200439453125}, {"start": 974.34, "end": 975.08, "word": " أقل", "probability": 0.9666341145833334}, {"start": 975.08, "end": 975.46, "word": " من", "probability": 0.9873046875}, {"start": 975.46, "end": 976.4, "word": " إذا", "probability": 0.7109375}, {"start": 976.4, "end": 976.86, "word": " باجي", "probability": 0.8365885416666666}, {"start": 976.86, "end": 977.52, "word": " بقوله", "probability": 0.8839518229166666}, {"start": 977.52, "end": 977.98, "word": " صار", "probability": 0.9521484375}, {"start": 977.98, "end": 978.48, "word": " عندي", "probability": 0.813232421875}, {"start": 978.48, "end": 979.28, "word": " جذر", "probability": 0.9549153645833334}, {"start": 979.28, "end": 979.64, "word": " ال", "probability": 0.97216796875}, {"start": 979.64, "end": 979.98, "word": " N", "probability": 0.4970703125}, {"start": 979.98, "end": 980.8, "word": " على", "probability": 0.7734375}, {"start": 980.8, "end": 981.26, "word": " N", "probability": 0.9228515625}, {"start": 981.26, "end": 982.06, "word": " زائد", "probability": 0.9059244791666666}, {"start": 982.06, "end": 982.72, "word": " اتنين", "probability": 0.8199462890625}, {"start": 982.72, "end": 983.28, "word": " N", "probability": 0.8525390625}, {"start": 983.28, "end": 984.2, "word": " زائد", "probability": 0.955078125}, {"start": 984.2, "end": 984.86, "word": " واحد", "probability": 0.9853515625}, {"start": 984.86, "end": 986.22, "word": " أقل", "probability": 0.9422200520833334}, {"start": 986.22, "end": 986.6, "word": " من", "probability": 0.99365234375}, {"start": 986.6, "end": 987.24, "word": " جذر", "probability": 0.9954427083333334}, {"start": 987.24, "end": 987.56, "word": " ال", "probability": 0.98583984375}, {"start": 987.56, "end": 988.0, "word": " N", "probability": 0.9716796875}, {"start": 988.0, "end": 988.98, "word": " على", "probability": 0.84619140625}, {"start": 988.98, "end": 989.62, "word": " N", "probability": 0.7958984375}, {"start": 989.62, "end": 989.92, "word": " في", "probability": 0.861328125}, {"start": 989.92, "end": 990.44, "word": " N", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 45, "seek": 101122, "start": 992.42, "end": 1011.22, "text": "طب اللي فوق أس نص يبقى بنختصر بيضل على N أس تلاتة على اتنين بقوله بطولكن صميشي لواحد على N أس تلاتة على اتنين من N equal one to infinity converge", "tokens": [9566, 3555, 13672, 1829, 6156, 30543, 5551, 3794, 8717, 9381, 7251, 3555, 4587, 7578, 44945, 46456, 9381, 2288, 4724, 1829, 11242, 1211, 15844, 426, 5551, 3794, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 4724, 39648, 3224, 4724, 9566, 12610, 19452, 20328, 2304, 1829, 8592, 1829, 5296, 14407, 24401, 15844, 426, 5551, 3794, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 9154, 426, 2681, 472, 281, 13202, 41881], "avg_logprob": -0.23503521378611175, "compression_ratio": 1.519736842105263, "no_speech_prob": 0.0, "words": [{"start": 992.42, "end": 992.74, "word": "طب", "probability": 0.514007568359375}, {"start": 992.74, "end": 993.0, "word": " اللي", "probability": 0.84814453125}, {"start": 993.0, "end": 993.28, "word": " فوق", "probability": 0.989501953125}, {"start": 993.28, "end": 993.72, "word": " أس", "probability": 0.51611328125}, {"start": 993.72, "end": 994.2, "word": " نص", "probability": 0.98291015625}, {"start": 994.2, "end": 994.6, "word": " يبقى", "probability": 0.943603515625}, {"start": 994.6, "end": 995.54, "word": " بنختصر", "probability": 0.869384765625}, {"start": 995.54, "end": 996.52, "word": " بيضل", "probability": 0.62969970703125}, {"start": 996.52, "end": 996.9, "word": " على", "probability": 0.94873046875}, {"start": 996.9, "end": 997.4, "word": " N", "probability": 0.57275390625}, {"start": 997.4, "end": 997.96, "word": " أس", "probability": 0.921875}, {"start": 997.96, "end": 998.8, "word": " تلاتة", "probability": 0.8140869140625}, {"start": 998.8, "end": 999.4, "word": " على", "probability": 0.77490234375}, {"start": 999.4, "end": 1000.32, "word": " اتنين", "probability": 0.9068603515625}, {"start": 1000.32, "end": 1001.54, "word": " بقوله", "probability": 0.6913248697916666}, {"start": 1001.54, "end": 1003.1, "word": " بطولكن", "probability": 0.7537841796875}, {"start": 1003.1, "end": 1004.32, "word": " صميشي", "probability": 0.758447265625}, {"start": 1004.32, "end": 1004.94, "word": " لواحد", "probability": 0.7980143229166666}, {"start": 1004.94, "end": 1005.3, "word": " على", "probability": 0.86083984375}, {"start": 1005.3, "end": 1005.64, "word": " N", "probability": 0.91259765625}, {"start": 1005.64, "end": 1006.08, "word": " أس", "probability": 0.95947265625}, {"start": 1006.08, "end": 1006.6, "word": " تلاتة", "probability": 0.975341796875}, {"start": 1006.6, "end": 1006.8, "word": " على", "probability": 0.8623046875}, {"start": 1006.8, "end": 1007.38, "word": " اتنين", "probability": 0.9796142578125}, {"start": 1007.38, "end": 1007.94, "word": " من", "probability": 0.93115234375}, {"start": 1007.94, "end": 1008.28, "word": " N", "probability": 0.9091796875}, {"start": 1008.28, "end": 1008.74, "word": " equal", "probability": 0.5068359375}, {"start": 1008.74, "end": 1009.1, "word": " one", "probability": 0.89794921875}, {"start": 1009.1, "end": 1009.34, "word": " to", "probability": 0.94677734375}, {"start": 1009.34, "end": 1010.1, "word": " infinity", "probability": 0.86669921875}, {"start": 1010.1, "end": 1011.22, "word": " converge", "probability": 0.390380859375}], "temperature": 1.0}, {"id": 46, "seek": 103650, "start": 1012.04, "end": 1036.5, "text": "P Series السبب بسبب أن P يسوى تلتة على اتنين أكتر من واحد بروح بقوله بي the comparison test ال series الأصلية لصميم من N equal one to infinity", "tokens": [47, 13934, 21136, 3555, 3555, 4724, 35457, 3555, 14739, 430, 7251, 3794, 2407, 7578, 6055, 1211, 2655, 3660, 15844, 1975, 2655, 1863, 9957, 5551, 4117, 2655, 2288, 9154, 36764, 24401, 4724, 32887, 5016, 4724, 39648, 3224, 4724, 1829, 264, 9660, 1500, 2423, 2638, 16247, 36520, 10632, 5296, 9381, 2304, 32640, 9154, 426, 2681, 472, 281, 13202], "avg_logprob": -0.44462718043410987, "compression_ratio": 1.2875, "no_speech_prob": 0.0, "words": [{"start": 1012.04, "end": 1012.52, "word": "P", "probability": 0.2108154296875}, {"start": 1012.52, "end": 1013.76, "word": " Series", "probability": 0.48193359375}, {"start": 1013.76, "end": 1015.3, "word": " السبب", "probability": 0.92578125}, {"start": 1015.3, "end": 1017.06, "word": " بسبب", "probability": 0.5409342447916666}, {"start": 1017.06, "end": 1017.8, "word": " أن", "probability": 0.533203125}, {"start": 1017.8, "end": 1018.44, "word": " P", "probability": 0.943359375}, {"start": 1018.44, "end": 1019.3, "word": " يسوى", "probability": 0.71502685546875}, {"start": 1019.3, "end": 1019.94, "word": " تلتة", "probability": 0.6268310546875}, {"start": 1019.94, "end": 1020.14, "word": " على", "probability": 0.6650390625}, {"start": 1020.14, "end": 1020.64, "word": " اتنين", "probability": 0.9364013671875}, {"start": 1020.64, "end": 1021.16, "word": " أكتر", "probability": 0.647308349609375}, {"start": 1021.16, "end": 1021.7, "word": " من", "probability": 0.94482421875}, {"start": 1021.7, "end": 1022.48, "word": " واحد", "probability": 0.885498046875}, {"start": 1022.48, "end": 1023.34, "word": " بروح", "probability": 0.732421875}, {"start": 1023.34, "end": 1024.1, "word": " بقوله", "probability": 0.8108723958333334}, {"start": 1024.1, "end": 1024.8, "word": " بي", "probability": 0.4713134765625}, {"start": 1024.8, "end": 1025.62, "word": " the", "probability": 0.253662109375}, {"start": 1025.62, "end": 1026.86, "word": " comparison", "probability": 0.7373046875}, {"start": 1026.86, "end": 1027.78, "word": " test", "probability": 0.9296875}, {"start": 1027.78, "end": 1028.52, "word": " ال", "probability": 0.410400390625}, {"start": 1028.52, "end": 1029.48, "word": " series", "probability": 0.438232421875}, {"start": 1029.48, "end": 1031.86, "word": " الأصلية", "probability": 0.8740234375}, {"start": 1031.86, "end": 1033.62, "word": " لصميم", "probability": 0.64990234375}, {"start": 1033.62, "end": 1034.24, "word": " من", "probability": 0.48779296875}, {"start": 1034.24, "end": 1034.62, "word": " N", "probability": 0.295166015625}, {"start": 1034.62, "end": 1035.04, "word": " equal", "probability": 0.08428955078125}, {"start": 1035.04, "end": 1035.46, "word": " one", "probability": 0.80078125}, {"start": 1035.46, "end": 1035.72, "word": " to", "probability": 0.92431640625}, {"start": 1035.72, "end": 1036.5, "word": " infinity", "probability": 0.826171875}], "temperature": 1.0}, {"id": 47, "seek": 105273, "start": 1049.67, "end": 1052.73, "text": "السؤال الحادي عشر", "tokens": [6027, 3794, 33604, 6027, 21542, 18513, 1829, 6225, 46309], "avg_logprob": -0.702734363079071, "compression_ratio": 0.8205128205128205, "no_speech_prob": 0.0, "words": [{"start": 1049.6699999999998, "end": 1051.07, "word": "السؤال", "probability": 0.716217041015625}, {"start": 1051.07, "end": 1052.03, "word": " الحادي", "probability": 0.33233642578125}, {"start": 1052.03, "end": 1052.73, "word": " عشر", "probability": 0.913818359375}], "temperature": 1.0}, {"id": 48, "seek": 107172, "start": 1054.72, "end": 1071.72, "text": "بيقول لي summation من n equal one to infinity لواحد على n factorial بدي أشوف هذا السؤال هل ال series اللي عندنا هذي converge و الله ضيفه", "tokens": [3555, 1829, 39648, 32239, 28811, 9154, 297, 2681, 472, 281, 13202, 5296, 14407, 24401, 15844, 297, 36916, 4724, 16254, 5551, 8592, 38688, 23758, 21136, 33604, 6027, 8032, 1211, 2423, 2638, 13672, 1829, 43242, 8315, 8032, 8848, 1829, 41881, 4032, 21984, 48812, 33911, 3224], "avg_logprob": -0.37215909361839294, "compression_ratio": 1.2679738562091503, "no_speech_prob": 0.0, "words": [{"start": 1054.72, "end": 1055.2, "word": "بيقول", "probability": 0.4788818359375}, {"start": 1055.2, "end": 1055.38, "word": " لي", "probability": 0.1502685546875}, {"start": 1055.38, "end": 1056.38, "word": " summation", "probability": 0.55712890625}, {"start": 1056.38, "end": 1057.6, "word": " من", "probability": 0.92919921875}, {"start": 1057.6, "end": 1058.02, "word": " n", "probability": 0.466552734375}, {"start": 1058.02, "end": 1058.56, "word": " equal", "probability": 0.28662109375}, {"start": 1058.56, "end": 1059.04, "word": " one", "probability": 0.78515625}, {"start": 1059.04, "end": 1059.34, "word": " to", "probability": 0.92919921875}, {"start": 1059.34, "end": 1060.14, "word": " infinity", "probability": 0.85400390625}, {"start": 1060.14, "end": 1061.78, "word": " لواحد", "probability": 0.8209635416666666}, {"start": 1061.78, "end": 1062.58, "word": " على", "probability": 0.7763671875}, {"start": 1062.58, "end": 1063.06, "word": " n", "probability": 0.77294921875}, {"start": 1063.06, "end": 1064.18, "word": " factorial", "probability": 0.71484375}, {"start": 1064.18, "end": 1065.32, "word": " بدي", "probability": 0.40802001953125}, {"start": 1065.32, "end": 1065.7, "word": " أشوف", "probability": 0.8531901041666666}, {"start": 1065.7, "end": 1066.12, "word": " هذا", "probability": 0.7109375}, {"start": 1066.12, "end": 1066.8, "word": " السؤال", "probability": 0.99365234375}, {"start": 1066.8, "end": 1067.5, "word": " هل", "probability": 0.824951171875}, {"start": 1067.5, "end": 1067.64, "word": " ال", "probability": 0.90478515625}, {"start": 1067.64, "end": 1067.98, "word": " series", "probability": 0.9462890625}, {"start": 1067.98, "end": 1068.28, "word": " اللي", "probability": 0.96240234375}, {"start": 1068.28, "end": 1068.64, "word": " عندنا", "probability": 0.89892578125}, {"start": 1068.64, "end": 1069.0, "word": " هذي", "probability": 0.74267578125}, {"start": 1069.0, "end": 1069.84, "word": " converge", "probability": 0.916015625}, {"start": 1069.84, "end": 1070.34, "word": " و", "probability": 0.294921875}, {"start": 1070.34, "end": 1070.86, "word": " الله", "probability": 0.70703125}, {"start": 1070.86, "end": 1071.72, "word": " ضيفه", "probability": 0.74462890625}], "temperature": 1.0}, {"id": 49, "seek": 109653, "start": 1072.61, "end": 1096.53, "text": "والله و الله ما احنا عارفين يعني مش عارفين كيف نعمل فيها نقارن مع مين يعني تمام؟ لأن ال N factorial لو بده فرقه بده يصير N من ال terms لكن خلّينا نتعرف على شكل ال series في الأول و بناء على الروح نحكم و نشوف كيف فلو جيت هنا بتتعرف على شكل ال series الحد الأول", "tokens": [2407, 6027, 43761, 4032, 21984, 19446, 1975, 5016, 8315, 6225, 9640, 5172, 9957, 37495, 22653, 37893, 6225, 9640, 5172, 9957, 9122, 33911, 8717, 25957, 1211, 8978, 11296, 8717, 4587, 9640, 1863, 20449, 3714, 9957, 37495, 22653, 46811, 10943, 22807, 5296, 33456, 2423, 426, 36916, 45164, 47525, 3224, 6156, 2288, 4587, 3224, 47525, 3224, 7251, 9381, 13546, 426, 9154, 2423, 2115, 44381, 16490, 1211, 11703, 1829, 8315, 8717, 2655, 3615, 28480, 15844, 13412, 28820, 2423, 2638, 8978, 16247, 12610, 4032, 44945, 16606, 15844, 2423, 32887, 5016, 8717, 5016, 24793, 4032, 8717, 8592, 38688, 9122, 33911, 6156, 1211, 2407, 10874, 36081, 34105, 39894, 2655, 3615, 28480, 15844, 13412, 28820, 2423, 2638, 21542, 3215, 16247, 12610], "avg_logprob": -0.19860196884786874, "compression_ratio": 1.8869565217391304, "no_speech_prob": 0.0, "words": [{"start": 1072.61, "end": 1073.07, "word": "والله", "probability": 0.5298665364583334}, {"start": 1073.07, "end": 1073.19, "word": " و", "probability": 0.423828125}, {"start": 1073.19, "end": 1073.31, "word": " الله", "probability": 0.84619140625}, {"start": 1073.31, "end": 1073.47, "word": " ما", "probability": 0.75244140625}, {"start": 1073.47, "end": 1073.65, "word": " احنا", "probability": 0.8942057291666666}, {"start": 1073.65, "end": 1074.19, "word": " عارفين", "probability": 0.99072265625}, {"start": 1074.19, "end": 1074.45, "word": " يعني", "probability": 0.81494140625}, {"start": 1074.45, "end": 1074.67, "word": " مش", "probability": 0.8134765625}, {"start": 1074.67, "end": 1075.17, "word": " عارفين", "probability": 0.996826171875}, {"start": 1075.17, "end": 1075.49, "word": " كيف", "probability": 0.970947265625}, {"start": 1075.49, "end": 1075.97, "word": " نعمل", "probability": 0.99169921875}, {"start": 1075.97, "end": 1076.27, "word": " فيها", "probability": 0.94970703125}, {"start": 1076.27, "end": 1076.95, "word": " نقارن", "probability": 0.839599609375}, {"start": 1076.95, "end": 1077.11, "word": " مع", "probability": 0.9921875}, {"start": 1077.11, "end": 1077.49, "word": " مين", "probability": 0.97705078125}, {"start": 1077.49, "end": 1078.15, "word": " يعني", "probability": 0.792236328125}, {"start": 1078.15, "end": 1079.33, "word": " تمام؟", "probability": 0.7515462239583334}, {"start": 1079.33, "end": 1079.53, "word": " لأن", "probability": 0.74462890625}, {"start": 1079.53, "end": 1079.69, "word": " ال", "probability": 0.90869140625}, {"start": 1079.69, "end": 1079.95, "word": " N", "probability": 0.55322265625}, {"start": 1079.95, "end": 1080.53, "word": " factorial", "probability": 0.486083984375}, {"start": 1080.53, "end": 1080.79, "word": " لو", "probability": 0.98388671875}, {"start": 1080.79, "end": 1081.09, "word": " بده", "probability": 0.76416015625}, {"start": 1081.09, "end": 1081.47, "word": " فرقه", "probability": 0.7659912109375}, {"start": 1081.47, "end": 1081.81, "word": " بده", "probability": 0.75634765625}, {"start": 1081.81, "end": 1082.05, "word": " يصير", "probability": 0.822265625}, {"start": 1082.05, "end": 1082.55, "word": " N", "probability": 0.7265625}, {"start": 1082.55, "end": 1082.87, "word": " من", "probability": 0.98291015625}, {"start": 1082.87, "end": 1083.17, "word": " ال", "probability": 0.92333984375}, {"start": 1083.17, "end": 1083.75, "word": " terms", "probability": 0.91845703125}, {"start": 1083.75, "end": 1084.61, "word": " لكن", "probability": 0.79345703125}, {"start": 1084.61, "end": 1085.27, "word": " خلّينا", "probability": 0.706494140625}, {"start": 1085.27, "end": 1085.93, "word": " نتعرف", "probability": 0.987548828125}, {"start": 1085.93, "end": 1086.19, "word": " على", "probability": 0.947265625}, {"start": 1086.19, "end": 1086.63, "word": " شكل", "probability": 0.9912109375}, {"start": 1086.63, "end": 1086.83, "word": " ال", "probability": 0.97216796875}, {"start": 1086.83, "end": 1087.17, "word": " series", "probability": 0.94287109375}, {"start": 1087.17, "end": 1087.41, "word": " في", "probability": 0.9306640625}, {"start": 1087.41, "end": 1088.09, "word": " الأول", "probability": 0.975341796875}, {"start": 1088.09, "end": 1088.65, "word": " و", "probability": 0.509765625}, {"start": 1088.65, "end": 1089.11, "word": " بناء", "probability": 0.81884765625}, {"start": 1089.11, "end": 1089.49, "word": " على", "probability": 0.390380859375}, {"start": 1089.49, "end": 1090.29, "word": " الروح", "probability": 0.6986490885416666}, {"start": 1090.29, "end": 1090.75, "word": " نحكم", "probability": 0.9659830729166666}, {"start": 1090.75, "end": 1090.89, "word": " و", "probability": 0.96142578125}, {"start": 1090.89, "end": 1091.13, "word": " نشوف", "probability": 0.9840494791666666}, {"start": 1091.13, "end": 1091.45, "word": " كيف", "probability": 0.986328125}, {"start": 1091.45, "end": 1092.51, "word": " فلو", "probability": 0.9469401041666666}, {"start": 1092.51, "end": 1092.85, "word": " جيت", "probability": 0.928955078125}, {"start": 1092.85, "end": 1093.27, "word": " هنا", "probability": 0.9931640625}, {"start": 1093.27, "end": 1094.17, "word": " بتتعرف", "probability": 0.81787109375}, {"start": 1094.17, "end": 1094.45, "word": " على", "probability": 0.93896484375}, {"start": 1094.45, "end": 1094.95, "word": " شكل", "probability": 0.987060546875}, {"start": 1094.95, "end": 1095.19, "word": " ال", "probability": 0.98583984375}, {"start": 1095.19, "end": 1095.45, "word": " series", "probability": 0.9619140625}, {"start": 1095.45, "end": 1095.97, "word": " الحد", "probability": 0.80078125}, {"start": 1095.97, "end": 1096.53, "word": " الأول", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 50, "seek": 111825, "start": 1096.99, "end": 1118.25, "text": "بواحد على واحد factorial اللي هو بواحد التاني واحد على اتنين factorial التالت واحد على تلاتة factorial واحد على اربعة factorial زائد واحد على n factorial زائد إلى ما شاء الله", "tokens": [3555, 14407, 24401, 15844, 36764, 24401, 36916, 13672, 1829, 31439, 4724, 14407, 24401, 16712, 7649, 1829, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 36916, 16712, 6027, 2655, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 36916, 36764, 24401, 15844, 1975, 25513, 27884, 36916, 30767, 16373, 3215, 36764, 24401, 15844, 297, 36916, 30767, 16373, 3215, 30731, 19446, 13412, 16606, 21984], "avg_logprob": -0.1103019080424713, "compression_ratio": 2.0923076923076924, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1096.99, "end": 1097.75, "word": "بواحد", "probability": 0.9225260416666666}, {"start": 1097.75, "end": 1098.01, "word": " على", "probability": 0.68994140625}, {"start": 1098.01, "end": 1098.39, "word": " واحد", "probability": 0.98974609375}, {"start": 1098.39, "end": 1098.99, "word": " factorial", "probability": 0.7021484375}, {"start": 1098.99, "end": 1099.23, "word": " اللي", "probability": 0.8740234375}, {"start": 1099.23, "end": 1099.37, "word": " هو", "probability": 0.99169921875}, {"start": 1099.37, "end": 1099.87, "word": " بواحد", "probability": 0.9840494791666666}, {"start": 1099.87, "end": 1101.27, "word": " التاني", "probability": 0.8292643229166666}, {"start": 1101.27, "end": 1102.35, "word": " واحد", "probability": 0.98193359375}, {"start": 1102.35, "end": 1102.75, "word": " على", "probability": 0.90478515625}, {"start": 1102.75, "end": 1103.47, "word": " اتنين", "probability": 0.9791259765625}, {"start": 1103.47, "end": 1104.37, "word": " factorial", "probability": 0.8740234375}, {"start": 1104.37, "end": 1105.67, "word": " التالت", "probability": 0.9674479166666666}, {"start": 1105.67, "end": 1106.49, "word": " واحد", "probability": 0.983642578125}, {"start": 1106.49, "end": 1106.79, "word": " على", "probability": 0.921875}, {"start": 1106.79, "end": 1107.49, "word": " تلاتة", "probability": 0.9014892578125}, {"start": 1107.49, "end": 1108.29, "word": " factorial", "probability": 0.8720703125}, {"start": 1108.29, "end": 1109.63, "word": " واحد", "probability": 0.96484375}, {"start": 1109.63, "end": 1110.13, "word": " على", "probability": 0.92578125}, {"start": 1110.13, "end": 1110.71, "word": " اربعة", "probability": 0.787109375}, {"start": 1110.71, "end": 1111.61, "word": " factorial", "probability": 0.875}, {"start": 1111.61, "end": 1112.91, "word": " زائد", "probability": 0.8818359375}, {"start": 1112.91, "end": 1113.87, "word": " واحد", "probability": 0.988525390625}, {"start": 1113.87, "end": 1114.41, "word": " على", "probability": 0.9267578125}, {"start": 1114.41, "end": 1114.87, "word": " n", "probability": 0.380615234375}, {"start": 1114.87, "end": 1115.91, "word": " factorial", "probability": 0.85498046875}, {"start": 1115.91, "end": 1116.85, "word": " زائد", "probability": 0.97119140625}, {"start": 1116.85, "end": 1117.17, "word": " إلى", "probability": 0.6064453125}, {"start": 1117.17, "end": 1117.39, "word": " ما", "probability": 0.97607421875}, {"start": 1117.39, "end": 1117.87, "word": " شاء", "probability": 0.99462890625}, {"start": 1117.87, "end": 1118.25, "word": " الله", "probability": 0.9580078125}], "temperature": 1.0}, {"id": 51, "seek": 114560, "start": 1120.41, "end": 1145.61, "text": "ممكن اتعرف على شكلها اكثر من ذلك لو فكت ال factorial في كل المقامات للحدود اللي موجودة عندنا كيف باجي بقول هذا الكلام يساوي واحد زاد واحد اتنين في واحد زاد واحد على تلاتة في اتنين في واحد زاد واحد على اربعة في تلاتة", "tokens": [2304, 43020, 1975, 2655, 3615, 28480, 15844, 13412, 28820, 11296, 1975, 4117, 49115, 9154, 29910, 23275, 45164, 6156, 4117, 2655, 2423, 36916, 8978, 28242, 9673, 4587, 10943, 9307, 24976, 24401, 23328, 13672, 1829, 3714, 29245, 23328, 3660, 43242, 8315, 9122, 33911, 4724, 26108, 1829, 4724, 39648, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 36764, 24401, 30767, 18513, 36764, 24401, 1975, 2655, 1863, 9957, 8978, 36764, 24401, 30767, 18513, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 8978, 1975, 2655, 1863, 9957, 8978, 36764, 24401, 30767, 18513, 36764, 24401, 15844, 1975, 25513, 27884, 8978, 6055, 1211, 9307, 3660], "avg_logprob": -0.11144770058442136, "compression_ratio": 1.9894736842105263, "no_speech_prob": 0.0, "words": [{"start": 1120.41, "end": 1121.09, "word": "ممكن", "probability": 0.89794921875}, {"start": 1121.09, "end": 1122.23, "word": " اتعرف", "probability": 0.870849609375}, {"start": 1122.23, "end": 1122.53, "word": " على", "probability": 0.7666015625}, {"start": 1122.53, "end": 1123.25, "word": " شكلها", "probability": 0.9814453125}, {"start": 1123.25, "end": 1123.75, "word": " اكثر", "probability": 0.9332682291666666}, {"start": 1123.75, "end": 1124.01, "word": " من", "probability": 0.990234375}, {"start": 1124.01, "end": 1124.39, "word": " ذلك", "probability": 0.993896484375}, {"start": 1124.39, "end": 1124.63, "word": " لو", "probability": 0.92333984375}, {"start": 1124.63, "end": 1125.17, "word": " فكت", "probability": 0.82177734375}, {"start": 1125.17, "end": 1125.31, "word": " ال", "probability": 0.6376953125}, {"start": 1125.31, "end": 1125.87, "word": " factorial", "probability": 0.615234375}, {"start": 1125.87, "end": 1126.55, "word": " في", "probability": 0.873046875}, {"start": 1126.55, "end": 1127.15, "word": " كل", "probability": 0.9921875}, {"start": 1127.15, "end": 1128.43, "word": " المقامات", "probability": 0.9686279296875}, {"start": 1128.43, "end": 1129.15, "word": " للحدود", "probability": 0.8990885416666666}, {"start": 1129.15, "end": 1129.33, "word": " اللي", "probability": 0.850341796875}, {"start": 1129.33, "end": 1129.85, "word": " موجودة", "probability": 0.97216796875}, {"start": 1129.85, "end": 1130.27, "word": " عندنا", "probability": 0.76513671875}, {"start": 1130.27, "end": 1130.91, "word": " كيف", "probability": 0.881103515625}, {"start": 1130.91, "end": 1131.89, "word": " باجي", "probability": 0.616455078125}, {"start": 1131.89, "end": 1132.25, "word": " بقول", "probability": 0.809326171875}, {"start": 1132.25, "end": 1132.55, "word": " هذا", "probability": 0.951171875}, {"start": 1132.55, "end": 1133.13, "word": " الكلام", "probability": 0.9697265625}, {"start": 1133.13, "end": 1133.79, "word": " يساوي", "probability": 0.9395751953125}, {"start": 1133.79, "end": 1134.39, "word": " واحد", "probability": 0.911376953125}, {"start": 1134.39, "end": 1135.09, "word": " زاد", "probability": 0.69873046875}, {"start": 1135.09, "end": 1135.63, "word": " واحد", "probability": 0.986572265625}, {"start": 1135.63, "end": 1136.65, "word": " اتنين", "probability": 0.969970703125}, {"start": 1136.65, "end": 1136.83, "word": " في", "probability": 0.953125}, {"start": 1136.83, "end": 1137.41, "word": " واحد", "probability": 0.9931640625}, {"start": 1137.41, "end": 1138.23, "word": " زاد", "probability": 0.9228515625}, {"start": 1138.23, "end": 1138.79, "word": " واحد", "probability": 0.98291015625}, {"start": 1138.79, "end": 1139.19, "word": " على", "probability": 0.84814453125}, {"start": 1139.19, "end": 1139.97, "word": " تلاتة", "probability": 0.9642333984375}, {"start": 1139.97, "end": 1140.13, "word": " في", "probability": 0.9453125}, {"start": 1140.13, "end": 1140.69, "word": " اتنين", "probability": 0.9874267578125}, {"start": 1140.69, "end": 1140.89, "word": " في", "probability": 0.98388671875}, {"start": 1140.89, "end": 1141.49, "word": " واحد", "probability": 0.99267578125}, {"start": 1141.49, "end": 1142.61, "word": " زاد", "probability": 0.916259765625}, {"start": 1142.61, "end": 1143.33, "word": " واحد", "probability": 0.98486328125}, {"start": 1143.33, "end": 1143.85, "word": " على", "probability": 0.91748046875}, {"start": 1143.85, "end": 1144.51, "word": " اربعة", "probability": 0.751953125}, {"start": 1144.51, "end": 1144.75, "word": " في", "probability": 0.98974609375}, {"start": 1144.75, "end": 1145.61, "word": " تلاتة", "probability": 0.9908447265625}], "temperature": 1.0}, {"id": 52, "seek": 115899, "start": 1145.81, "end": 1158.99, "text": "فى اتنين فى واحد زائد زائد واحد على ان فان ناقص واحد فى تلاتة فى اتنين فى واحد زائد الى ما شاء الله", "tokens": [5172, 7578, 1975, 2655, 1863, 9957, 6156, 7578, 36764, 24401, 30767, 16373, 3215, 30767, 16373, 3215, 36764, 24401, 15844, 16472, 6156, 7649, 8717, 995, 4587, 9381, 36764, 24401, 6156, 7578, 6055, 1211, 9307, 3660, 6156, 7578, 1975, 2655, 1863, 9957, 6156, 7578, 36764, 24401, 30767, 16373, 3215, 2423, 7578, 19446, 13412, 16606, 21984], "avg_logprob": -0.11964698715342416, "compression_ratio": 1.9130434782608696, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1145.81, "end": 1146.13, "word": "فى", "probability": 0.666748046875}, {"start": 1146.13, "end": 1146.63, "word": " اتنين", "probability": 0.81304931640625}, {"start": 1146.63, "end": 1147.11, "word": " فى", "probability": 0.9658203125}, {"start": 1147.11, "end": 1147.67, "word": " واحد", "probability": 0.986328125}, {"start": 1147.67, "end": 1148.73, "word": " زائد", "probability": 0.86669921875}, {"start": 1148.73, "end": 1149.55, "word": " زائد", "probability": 0.9835611979166666}, {"start": 1149.55, "end": 1150.67, "word": " واحد", "probability": 0.9228515625}, {"start": 1150.67, "end": 1151.37, "word": " على", "probability": 0.85107421875}, {"start": 1151.37, "end": 1151.79, "word": " ان", "probability": 0.759765625}, {"start": 1151.79, "end": 1152.61, "word": " فان", "probability": 0.6226806640625}, {"start": 1152.61, "end": 1153.21, "word": " ناقص", "probability": 0.9002685546875}, {"start": 1153.21, "end": 1153.85, "word": " واحد", "probability": 0.9931640625}, {"start": 1153.85, "end": 1154.35, "word": " فى", "probability": 0.952392578125}, {"start": 1154.35, "end": 1154.99, "word": " تلاتة", "probability": 0.8953857421875}, {"start": 1154.99, "end": 1155.27, "word": " فى", "probability": 0.945556640625}, {"start": 1155.27, "end": 1155.71, "word": " اتنين", "probability": 0.9892578125}, {"start": 1155.71, "end": 1155.99, "word": " فى", "probability": 0.984375}, {"start": 1155.99, "end": 1156.57, "word": " واحد", "probability": 0.990234375}, {"start": 1156.57, "end": 1157.61, "word": " زائد", "probability": 0.9794921875}, {"start": 1157.61, "end": 1158.07, "word": " الى", "probability": 0.732666015625}, {"start": 1158.07, "end": 1158.21, "word": " ما", "probability": 0.97607421875}, {"start": 1158.21, "end": 1158.69, "word": " شاء", "probability": 0.991943359375}, {"start": 1158.69, "end": 1158.99, "word": " الله", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 53, "seek": 118554, "start": 1161.4, "end": 1185.54, "text": "طب كويس اذا انا حطيت ال series في الشكل الجديد اللى عندنا هذا وبدأجي الان افحص ال series اللى عندنا هذا او الشكل الجديد هل ممكن يكون convergence series و الله divergence series تمام؟ باجب اطلع في المثلة ابتبعتي", "tokens": [9566, 3555, 9122, 45865, 3794, 1975, 15730, 1975, 8315, 11331, 9566, 36081, 2423, 2638, 8978, 25124, 28820, 25724, 16254, 3215, 13672, 7578, 43242, 8315, 23758, 4032, 44510, 10721, 7435, 1829, 2423, 7649, 1975, 5172, 5016, 9381, 2423, 2638, 13672, 7578, 43242, 8315, 23758, 1975, 2407, 25124, 28820, 25724, 16254, 3215, 8032, 1211, 3714, 43020, 7251, 30544, 32181, 2638, 4032, 21984, 47387, 2638, 46811, 10943, 22807, 4724, 26108, 3555, 1975, 9566, 1211, 3615, 8978, 9673, 12984, 37977, 1975, 3555, 2655, 3555, 3615, 31371], "avg_logprob": -0.2091490956674139, "compression_ratio": 1.861878453038674, "no_speech_prob": 0.0, "words": [{"start": 1161.4, "end": 1161.7, "word": "طب", "probability": 0.7666015625}, {"start": 1161.7, "end": 1162.28, "word": " كويس", "probability": 0.9471028645833334}, {"start": 1162.28, "end": 1163.38, "word": " اذا", "probability": 0.59765625}, {"start": 1163.38, "end": 1163.68, "word": " انا", "probability": 0.909423828125}, {"start": 1163.68, "end": 1164.24, "word": " حطيت", "probability": 0.857421875}, {"start": 1164.24, "end": 1164.48, "word": " ال", "probability": 0.94921875}, {"start": 1164.48, "end": 1164.88, "word": " series", "probability": 0.93896484375}, {"start": 1164.88, "end": 1165.52, "word": " في", "probability": 0.81982421875}, {"start": 1165.52, "end": 1166.04, "word": " الشكل", "probability": 0.976318359375}, {"start": 1166.04, "end": 1166.72, "word": " الجديد", "probability": 0.982421875}, {"start": 1166.72, "end": 1166.98, "word": " اللى", "probability": 0.773681640625}, {"start": 1166.98, "end": 1167.44, "word": " عندنا", "probability": 0.87939453125}, {"start": 1167.44, "end": 1167.82, "word": " هذا", "probability": 0.93798828125}, {"start": 1167.82, "end": 1169.14, "word": " وبدأجي", "probability": 0.60107421875}, {"start": 1169.14, "end": 1169.6, "word": " الان", "probability": 0.61187744140625}, {"start": 1169.6, "end": 1170.5, "word": " افحص", "probability": 0.9654541015625}, {"start": 1170.5, "end": 1171.08, "word": " ال", "probability": 0.93212890625}, {"start": 1171.08, "end": 1171.48, "word": " series", "probability": 0.95947265625}, {"start": 1171.48, "end": 1171.76, "word": " اللى", "probability": 0.97314453125}, {"start": 1171.76, "end": 1172.12, "word": " عندنا", "probability": 0.97021484375}, {"start": 1172.12, "end": 1172.38, "word": " هذا", "probability": 0.9482421875}, {"start": 1172.38, "end": 1172.72, "word": " او", "probability": 0.953369140625}, {"start": 1172.72, "end": 1173.3, "word": " الشكل", "probability": 0.972412109375}, {"start": 1173.3, "end": 1174.22, "word": " الجديد", "probability": 0.98388671875}, {"start": 1174.22, "end": 1174.84, "word": " هل", "probability": 0.935302734375}, {"start": 1174.84, "end": 1175.26, "word": " ممكن", "probability": 0.990234375}, {"start": 1175.26, "end": 1175.72, "word": " يكون", "probability": 0.990234375}, {"start": 1175.72, "end": 1176.58, "word": " convergence", "probability": 0.60107421875}, {"start": 1176.58, "end": 1177.78, "word": " series", "probability": 0.86474609375}, {"start": 1177.78, "end": 1178.36, "word": " و", "probability": 0.67822265625}, {"start": 1178.36, "end": 1178.6, "word": " الله", "probability": 0.5234375}, {"start": 1178.6, "end": 1179.44, "word": " divergence", "probability": 0.583984375}, {"start": 1179.44, "end": 1180.68, "word": " series", "probability": 0.89208984375}, {"start": 1180.68, "end": 1182.58, "word": " تمام؟", "probability": 0.7109375}, {"start": 1182.58, "end": 1183.08, "word": " باجب", "probability": 0.7978515625}, {"start": 1183.08, "end": 1183.66, "word": " اطلع", "probability": 0.8663330078125}, {"start": 1183.66, "end": 1183.8, "word": " في", "probability": 0.93603515625}, {"start": 1183.8, "end": 1184.52, "word": " المثلة", "probability": 0.93408203125}, {"start": 1184.52, "end": 1185.54, "word": " ابتبعتي", "probability": 0.6872965494791666}], "temperature": 1.0}, {"id": 54, "seek": 121491, "start": 1186.23, "end": 1214.91, "text": "واحد زائد نص زائد سُدس زائد واحد على أربع وعشرين زائد زائد وماشاء الله عليها ماشية كويس طيب الملاحظ ان كل حد بيقل عن الحد اللي جابله واحد مص سُدس واحد على أربع وعشرين يعني رايح لوين يعني في احتمال تكون فيه احتمال مظبوط طيب بلاش", "tokens": [14407, 24401, 30767, 16373, 3215, 8717, 9381, 30767, 16373, 3215, 8608, 10859, 3215, 3794, 30767, 16373, 3215, 36764, 24401, 15844, 5551, 25513, 3615, 4032, 3615, 46309, 9957, 30767, 16373, 3215, 30767, 16373, 3215, 4032, 2304, 33599, 16606, 21984, 25894, 11296, 3714, 33599, 10632, 9122, 45865, 3794, 23032, 1829, 3555, 9673, 15040, 5016, 19913, 16472, 28242, 11331, 3215, 4724, 1829, 4587, 1211, 18871, 21542, 3215, 13672, 1829, 10874, 16758, 43761, 36764, 24401, 3714, 9381, 8608, 10859, 3215, 3794, 36764, 24401, 15844, 5551, 25513, 3615, 4032, 3615, 46309, 9957, 37495, 22653, 12602, 47302, 5016, 45164, 9957, 37495, 22653, 8978, 1975, 33753, 2304, 6027, 6055, 30544, 8978, 3224, 1975, 33753, 2304, 6027, 3714, 19913, 3555, 2407, 9566, 23032, 1829, 3555, 4724, 1211, 33599], "avg_logprob": -0.19847624065462222, "compression_ratio": 2.175531914893617, "no_speech_prob": 0.0, "words": [{"start": 1186.23, "end": 1187.05, "word": "واحد", "probability": 0.56488037109375}, {"start": 1187.05, "end": 1187.51, "word": " زائد", "probability": 0.653564453125}, {"start": 1187.51, "end": 1187.95, "word": " نص", "probability": 0.989013671875}, {"start": 1187.95, "end": 1188.49, "word": " زائد", "probability": 0.9176432291666666}, {"start": 1188.49, "end": 1189.01, "word": " سُدس", "probability": 0.57623291015625}, {"start": 1189.01, "end": 1189.35, "word": " زائد", "probability": 0.923828125}, {"start": 1189.35, "end": 1189.65, "word": " واحد", "probability": 0.963623046875}, {"start": 1189.65, "end": 1189.81, "word": " على", "probability": 0.62060546875}, {"start": 1189.81, "end": 1190.17, "word": " أربع", "probability": 0.70654296875}, {"start": 1190.17, "end": 1191.03, "word": " وعشرين", "probability": 0.9161376953125}, {"start": 1191.03, "end": 1191.95, "word": " زائد", "probability": 0.9186197916666666}, {"start": 1191.95, "end": 1192.55, "word": " زائد", "probability": 0.9060872395833334}, {"start": 1192.55, "end": 1193.11, "word": " وماشاء", "probability": 0.8931884765625}, {"start": 1193.11, "end": 1193.17, "word": " الله", "probability": 0.9384765625}, {"start": 1193.17, "end": 1193.53, "word": " عليها", "probability": 0.864501953125}, {"start": 1193.53, "end": 1194.15, "word": " ماشية", "probability": 0.9430338541666666}, {"start": 1194.15, "end": 1194.93, "word": " كويس", "probability": 0.755859375}, {"start": 1194.93, "end": 1196.11, "word": " طيب", "probability": 0.8094889322916666}, {"start": 1196.11, "end": 1197.31, "word": " الملاحظ", "probability": 0.9267578125}, {"start": 1197.31, "end": 1197.67, "word": " ان", "probability": 0.389892578125}, {"start": 1197.67, "end": 1198.33, "word": " كل", "probability": 0.48681640625}, {"start": 1198.33, "end": 1198.89, "word": " حد", "probability": 0.990966796875}, {"start": 1198.89, "end": 1199.67, "word": " بيقل", "probability": 0.9647216796875}, {"start": 1199.67, "end": 1199.95, "word": " عن", "probability": 0.97314453125}, {"start": 1199.95, "end": 1200.43, "word": " الحد", "probability": 0.985107421875}, {"start": 1200.43, "end": 1200.63, "word": " اللي", "probability": 0.89892578125}, {"start": 1200.63, "end": 1201.15, "word": " جابله", "probability": 0.9677734375}, {"start": 1201.15, "end": 1202.39, "word": " واحد", "probability": 0.947998046875}, {"start": 1202.39, "end": 1203.69, "word": " مص", "probability": 0.706787109375}, {"start": 1203.69, "end": 1204.93, "word": " سُدس", "probability": 0.93310546875}, {"start": 1204.93, "end": 1205.71, "word": " واحد", "probability": 0.95263671875}, {"start": 1205.71, "end": 1205.91, "word": " على", "probability": 0.82470703125}, {"start": 1205.91, "end": 1206.29, "word": " أربع", "probability": 0.9298502604166666}, {"start": 1206.29, "end": 1206.85, "word": " وعشرين", "probability": 0.9744873046875}, {"start": 1206.85, "end": 1207.05, "word": " يعني", "probability": 0.97216796875}, {"start": 1207.05, "end": 1207.35, "word": " رايح", "probability": 0.97314453125}, {"start": 1207.35, "end": 1207.85, "word": " لوين", "probability": 0.600830078125}, {"start": 1207.85, "end": 1209.11, "word": " يعني", "probability": 0.678955078125}, {"start": 1209.11, "end": 1209.25, "word": " في", "probability": 0.86767578125}, {"start": 1209.25, "end": 1209.67, "word": " احتمال", "probability": 0.97119140625}, {"start": 1209.67, "end": 1210.09, "word": " تكون", "probability": 0.818115234375}, {"start": 1210.09, "end": 1210.57, "word": " فيه", "probability": 0.5089111328125}, {"start": 1210.57, "end": 1212.75, "word": " احتمال", "probability": 0.757232666015625}, {"start": 1212.75, "end": 1213.59, "word": " مظبوط", "probability": 0.86259765625}, {"start": 1213.59, "end": 1214.27, "word": " طيب", "probability": 0.919921875}, {"start": 1214.27, "end": 1214.91, "word": " بلاش", "probability": 0.96484375}], "temperature": 1.0}, {"id": 55, "seek": 124433, "start": 1215.27, "end": 1244.33, "text": "مش متأكدين هل هي conversion ولا ضيبية تعال شوف ليها الرأي هذا ايش رأيك فيه لو جيت قلت هذا واحد زائد نص زائد واحد على اتنين في اتنين زائد واحد على اتنين في اتنين في اتنين زائد واحد على اتنين في اتنين في اتنين في اتنين زائد إلى ما شاء الله", "tokens": [2304, 8592, 44650, 10721, 4117, 3215, 9957, 8032, 1211, 39896, 14298, 49429, 48812, 1829, 3555, 10632, 37279, 6027, 13412, 38688, 32239, 11296, 34892, 10721, 1829, 23758, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 8978, 3224, 45164, 10874, 36081, 12174, 1211, 2655, 23758, 36764, 24401, 30767, 16373, 3215, 8717, 9381, 30767, 16373, 3215, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 30731, 19446, 13412, 16606, 21984], "avg_logprob": -0.14300847343974193, "compression_ratio": 2.3657142857142857, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1215.27, "end": 1215.61, "word": "مش", "probability": 0.6123046875}, {"start": 1215.61, "end": 1216.43, "word": " متأكدين", "probability": 0.813037109375}, {"start": 1216.43, "end": 1216.69, "word": " هل", "probability": 0.9404296875}, {"start": 1216.69, "end": 1216.89, "word": " هي", "probability": 0.865234375}, {"start": 1216.89, "end": 1217.47, "word": " conversion", "probability": 0.515625}, {"start": 1217.47, "end": 1217.65, "word": " ولا", "probability": 0.47216796875}, {"start": 1217.65, "end": 1218.11, "word": " ضيبية", "probability": 0.6668701171875}, {"start": 1218.11, "end": 1218.57, "word": " تعال", "probability": 0.8701171875}, {"start": 1218.57, "end": 1218.85, "word": " شوف", "probability": 0.684814453125}, {"start": 1218.85, "end": 1219.11, "word": " ليها", "probability": 0.54345703125}, {"start": 1219.11, "end": 1219.51, "word": " الرأي", "probability": 0.8426106770833334}, {"start": 1219.51, "end": 1219.71, "word": " هذا", "probability": 0.1927490234375}, {"start": 1219.71, "end": 1219.93, "word": " ايش", "probability": 0.767822265625}, {"start": 1219.93, "end": 1220.35, "word": " رأيك", "probability": 0.9832763671875}, {"start": 1220.35, "end": 1220.71, "word": " فيه", "probability": 0.98486328125}, {"start": 1220.71, "end": 1221.57, "word": " لو", "probability": 0.64111328125}, {"start": 1221.57, "end": 1221.97, "word": " جيت", "probability": 0.919921875}, {"start": 1221.97, "end": 1222.59, "word": " قلت", "probability": 0.8390299479166666}, {"start": 1222.59, "end": 1223.51, "word": " هذا", "probability": 0.8154296875}, {"start": 1223.51, "end": 1224.13, "word": " واحد", "probability": 0.948974609375}, {"start": 1224.13, "end": 1225.39, "word": " زائد", "probability": 0.8621419270833334}, {"start": 1225.39, "end": 1225.99, "word": " نص", "probability": 0.988525390625}, {"start": 1225.99, "end": 1227.21, "word": " زائد", "probability": 0.9825846354166666}, {"start": 1227.21, "end": 1227.73, "word": " واحد", "probability": 0.984619140625}, {"start": 1227.73, "end": 1228.41, "word": " على", "probability": 0.83642578125}, {"start": 1228.41, "end": 1228.95, "word": " اتنين", "probability": 0.9696044921875}, {"start": 1228.95, "end": 1229.15, "word": " في", "probability": 0.8583984375}, {"start": 1229.15, "end": 1229.73, "word": " اتنين", "probability": 0.9931640625}, {"start": 1229.73, "end": 1231.09, "word": " زائد", "probability": 0.9694010416666666}, {"start": 1231.09, "end": 1231.71, "word": " واحد", "probability": 0.961181640625}, {"start": 1231.71, "end": 1232.21, "word": " على", "probability": 0.88916015625}, {"start": 1232.21, "end": 1232.97, "word": " اتنين", "probability": 0.9927978515625}, {"start": 1232.97, "end": 1233.21, "word": " في", "probability": 0.98095703125}, {"start": 1233.21, "end": 1233.81, "word": " اتنين", "probability": 0.9951171875}, {"start": 1233.81, "end": 1234.03, "word": " في", "probability": 0.9697265625}, {"start": 1234.03, "end": 1234.61, "word": " اتنين", "probability": 0.9947509765625}, {"start": 1234.61, "end": 1235.87, "word": " زائد", "probability": 0.9835611979166666}, {"start": 1235.87, "end": 1236.95, "word": " واحد", "probability": 0.970703125}, {"start": 1236.95, "end": 1237.65, "word": " على", "probability": 0.92822265625}, {"start": 1237.65, "end": 1238.37, "word": " اتنين", "probability": 0.9935302734375}, {"start": 1238.37, "end": 1238.63, "word": " في", "probability": 0.99072265625}, {"start": 1238.63, "end": 1239.33, "word": " اتنين", "probability": 0.9954833984375}, {"start": 1239.33, "end": 1239.59, "word": " في", "probability": 0.982421875}, {"start": 1239.59, "end": 1240.39, "word": " اتنين", "probability": 0.9931640625}, {"start": 1240.39, "end": 1240.67, "word": " في", "probability": 0.9560546875}, {"start": 1240.67, "end": 1242.25, "word": " اتنين", "probability": 0.9898681640625}, {"start": 1242.25, "end": 1243.17, "word": " زائد", "probability": 0.9661458333333334}, {"start": 1243.17, "end": 1243.47, "word": " إلى", "probability": 0.525390625}, {"start": 1243.47, "end": 1243.63, "word": " ما", "probability": 0.69384765625}, {"start": 1243.63, "end": 1244.05, "word": " شاء", "probability": 0.96875}, {"start": 1244.05, "end": 1244.33, "word": " الله", "probability": 0.9541015625}], "temperature": 1.0}, {"id": 56, "seek": 127086, "start": 1247.65, "end": 1270.87, "text": "يبقى أنا عند سيريز بالشكل هذا كتبت سيريز تانية، بدي أبحث ما هي العلاقة ما بين ال two series الأثنين اللي عندي، ال term الأول هو ال term الأول، ال term التاني هو ال term التاني، ال term التالت أقل من ال term التالت", "tokens": [1829, 3555, 4587, 7578, 41850, 43242, 8608, 13546, 1829, 11622, 20666, 8592, 28820, 23758, 9122, 2655, 3555, 2655, 8608, 13546, 1829, 11622, 6055, 7649, 10632, 12399, 4724, 16254, 5551, 49628, 12984, 19446, 39896, 18863, 15040, 28671, 19446, 49374, 2423, 732, 2638, 16247, 12984, 1863, 9957, 13672, 1829, 18871, 16254, 12399, 2423, 1433, 16247, 12610, 31439, 2423, 1433, 16247, 12610, 12399, 2423, 1433, 16712, 7649, 1829, 31439, 2423, 1433, 16712, 7649, 1829, 12399, 2423, 1433, 16712, 6027, 2655, 5551, 4587, 1211, 9154, 2423, 1433, 16712, 6027, 2655], "avg_logprob": -0.11602011134569672, "compression_ratio": 2.0588235294117645, "no_speech_prob": 0.0, "words": [{"start": 1247.65, "end": 1248.21, "word": "يبقى", "probability": 0.9176025390625}, {"start": 1248.21, "end": 1248.51, "word": " أنا", "probability": 0.70654296875}, {"start": 1248.51, "end": 1248.89, "word": " عند", "probability": 0.89599609375}, {"start": 1248.89, "end": 1249.69, "word": " سيريز", "probability": 0.8310546875}, {"start": 1249.69, "end": 1250.49, "word": " بالشكل", "probability": 0.9612630208333334}, {"start": 1250.49, "end": 1250.93, "word": " هذا", "probability": 0.9599609375}, {"start": 1250.93, "end": 1252.07, "word": " كتبت", "probability": 0.940673828125}, {"start": 1252.07, "end": 1253.23, "word": " سيريز", "probability": 0.9412841796875}, {"start": 1253.23, "end": 1254.45, "word": " تانية،", "probability": 0.8170166015625}, {"start": 1254.45, "end": 1254.83, "word": " بدي", "probability": 0.86669921875}, {"start": 1254.83, "end": 1255.43, "word": " أبحث", "probability": 0.8164876302083334}, {"start": 1255.43, "end": 1255.73, "word": " ما", "probability": 0.939453125}, {"start": 1255.73, "end": 1255.99, "word": " هي", "probability": 0.92626953125}, {"start": 1255.99, "end": 1256.79, "word": " العلاقة", "probability": 0.98046875}, {"start": 1256.79, "end": 1257.05, "word": " ما", "probability": 0.93505859375}, {"start": 1257.05, "end": 1257.31, "word": " بين", "probability": 0.99169921875}, {"start": 1257.31, "end": 1257.51, "word": " ال", "probability": 0.884765625}, {"start": 1257.51, "end": 1257.69, "word": " two", "probability": 0.87890625}, {"start": 1257.69, "end": 1258.35, "word": " series", "probability": 0.89208984375}, {"start": 1258.35, "end": 1259.01, "word": " الأثنين", "probability": 0.6959228515625}, {"start": 1259.01, "end": 1259.19, "word": " اللي", "probability": 0.974853515625}, {"start": 1259.19, "end": 1260.29, "word": " عندي،", "probability": 0.7166341145833334}, {"start": 1260.29, "end": 1260.57, "word": " ال", "probability": 0.92333984375}, {"start": 1260.57, "end": 1260.85, "word": " term", "probability": 0.9423828125}, {"start": 1260.85, "end": 1261.33, "word": " الأول", "probability": 0.98974609375}, {"start": 1261.33, "end": 1261.59, "word": " هو", "probability": 0.994140625}, {"start": 1261.59, "end": 1261.77, "word": " ال", "probability": 0.72998046875}, {"start": 1261.77, "end": 1262.03, "word": " term", "probability": 0.962890625}, {"start": 1262.03, "end": 1262.99, "word": " الأول،", "probability": 0.9599609375}, {"start": 1262.99, "end": 1263.21, "word": " ال", "probability": 0.978515625}, {"start": 1263.21, "end": 1263.51, "word": " term", "probability": 0.95068359375}, {"start": 1263.51, "end": 1264.01, "word": " التاني", "probability": 0.9625651041666666}, {"start": 1264.01, "end": 1264.23, "word": " هو", "probability": 0.994140625}, {"start": 1264.23, "end": 1264.43, "word": " ال", "probability": 0.95263671875}, {"start": 1264.43, "end": 1264.71, "word": " term", "probability": 0.95947265625}, {"start": 1264.71, "end": 1265.99, "word": " التاني،", "probability": 0.9774169921875}, {"start": 1265.99, "end": 1266.15, "word": " ال", "probability": 0.9609375}, {"start": 1266.15, "end": 1266.43, "word": " term", "probability": 0.93408203125}, {"start": 1266.43, "end": 1267.33, "word": " التالت", "probability": 0.9500325520833334}, {"start": 1267.33, "end": 1269.35, "word": " أقل", "probability": 0.8649088541666666}, {"start": 1269.35, "end": 1269.61, "word": " من", "probability": 0.982421875}, {"start": 1269.61, "end": 1269.85, "word": " ال", "probability": 0.986328125}, {"start": 1269.85, "end": 1270.15, "word": " term", "probability": 0.94189453125}, {"start": 1270.15, "end": 1270.87, "word": " التالت", "probability": 0.9890950520833334}], "temperature": 1.0}, {"id": 57, "seek": 130083, "start": 1271.51, "end": 1300.83, "text": "الرابع أقل من الرابع واحد على ربع وعشرين أقل من تمون ست أقل من الرابع نص يساوي نص واحد يساوي واحد يبقى ال series الأولى شو علاقة بال series التانية أقل منها ممتاز يبقى بدل اللي يساوي بدي يصير عندي أقل بالشكل اللي عندنا هذا تمام؟ إذا أصبحت ال series الأصلية summation واحد على n factorial", "tokens": [6027, 2288, 16758, 3615, 5551, 4587, 1211, 9154, 34892, 16758, 3615, 36764, 24401, 15844, 12602, 3555, 3615, 4032, 3615, 46309, 9957, 5551, 4587, 1211, 9154, 46811, 11536, 8608, 2655, 5551, 4587, 1211, 9154, 34892, 16758, 3615, 8717, 9381, 7251, 3794, 995, 45865, 8717, 9381, 36764, 24401, 7251, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 2423, 2638, 16247, 12610, 7578, 13412, 2407, 11203, 995, 28671, 20666, 2638, 16712, 7649, 10632, 5551, 4587, 1211, 9154, 11296, 3714, 2304, 2655, 31377, 7251, 3555, 4587, 7578, 47525, 1211, 13672, 1829, 7251, 3794, 995, 45865, 4724, 16254, 7251, 9381, 13546, 18871, 16254, 5551, 4587, 1211, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 46811, 10943, 22807, 11933, 15730, 5551, 9381, 3555, 33753, 2423, 2638, 16247, 36520, 10632, 28811, 36764, 24401, 15844, 297, 36916], "avg_logprob": -0.19453721647044175, "compression_ratio": 2.1422222222222222, "no_speech_prob": 0.0, "words": [{"start": 1271.51, "end": 1272.39, "word": "الرابع", "probability": 0.76568603515625}, {"start": 1272.39, "end": 1273.39, "word": " أقل", "probability": 0.88134765625}, {"start": 1273.39, "end": 1273.67, "word": " من", "probability": 0.98876953125}, {"start": 1273.67, "end": 1274.19, "word": " الرابع", "probability": 0.9842122395833334}, {"start": 1274.19, "end": 1274.59, "word": " واحد", "probability": 0.67333984375}, {"start": 1274.59, "end": 1274.75, "word": " على", "probability": 0.5703125}, {"start": 1274.75, "end": 1275.03, "word": " ربع", "probability": 0.7978515625}, {"start": 1275.03, "end": 1275.49, "word": " وعشرين", "probability": 0.759765625}, {"start": 1275.49, "end": 1276.07, "word": " أقل", "probability": 0.9365234375}, {"start": 1276.07, "end": 1276.31, "word": " من", "probability": 0.99267578125}, {"start": 1276.31, "end": 1277.31, "word": " تمون", "probability": 0.6158447265625}, {"start": 1277.31, "end": 1278.05, "word": " ست", "probability": 0.4957275390625}, {"start": 1278.05, "end": 1278.83, "word": " أقل", "probability": 0.904296875}, {"start": 1278.83, "end": 1279.01, "word": " من", "probability": 0.99267578125}, {"start": 1279.01, "end": 1279.63, "word": " الرابع", "probability": 0.8756510416666666}, {"start": 1279.63, "end": 1280.49, "word": " نص", "probability": 0.9453125}, {"start": 1280.49, "end": 1281.01, "word": " يساوي", "probability": 0.718994140625}, {"start": 1281.01, "end": 1281.33, "word": " نص", "probability": 0.97705078125}, {"start": 1281.33, "end": 1281.69, "word": " واحد", "probability": 0.8095703125}, {"start": 1281.69, "end": 1282.09, "word": " يساوي", "probability": 0.981689453125}, {"start": 1282.09, "end": 1282.27, "word": " واحد", "probability": 0.971435546875}, {"start": 1282.27, "end": 1282.65, "word": " يبقى", "probability": 0.9400634765625}, {"start": 1282.65, "end": 1282.79, "word": " ال", "probability": 0.83642578125}, {"start": 1282.79, "end": 1283.03, "word": " series", "probability": 0.869140625}, {"start": 1283.03, "end": 1283.59, "word": " الأولى", "probability": 0.9208984375}, {"start": 1283.59, "end": 1283.79, "word": " شو", "probability": 0.758056640625}, {"start": 1283.79, "end": 1284.13, "word": " علاقة", "probability": 0.6905924479166666}, {"start": 1284.13, "end": 1284.39, "word": " بال", "probability": 0.7919921875}, {"start": 1284.39, "end": 1284.69, "word": " series", "probability": 0.84912109375}, {"start": 1284.69, "end": 1285.37, "word": " التانية", "probability": 0.9296875}, {"start": 1285.37, "end": 1286.87, "word": " أقل", "probability": 0.90185546875}, {"start": 1286.87, "end": 1287.33, "word": " منها", "probability": 0.9873046875}, {"start": 1287.33, "end": 1288.07, "word": " ممتاز", "probability": 0.93701171875}, {"start": 1288.07, "end": 1288.81, "word": " يبقى", "probability": 0.8572998046875}, {"start": 1288.81, "end": 1289.25, "word": " بدل", "probability": 0.966552734375}, {"start": 1289.25, "end": 1289.45, "word": " اللي", "probability": 0.79541015625}, {"start": 1289.45, "end": 1289.97, "word": " يساوي", "probability": 0.972900390625}, {"start": 1289.97, "end": 1290.25, "word": " بدي", "probability": 0.3795166015625}, {"start": 1290.25, "end": 1290.59, "word": " يصير", "probability": 0.8994140625}, {"start": 1290.59, "end": 1291.01, "word": " عندي", "probability": 0.83056640625}, {"start": 1291.01, "end": 1291.83, "word": " أقل", "probability": 0.97607421875}, {"start": 1291.83, "end": 1292.45, "word": " بالشكل", "probability": 0.97802734375}, {"start": 1292.45, "end": 1292.63, "word": " اللي", "probability": 0.943359375}, {"start": 1292.63, "end": 1293.07, "word": " عندنا", "probability": 0.974609375}, {"start": 1293.07, "end": 1293.41, "word": " هذا", "probability": 0.92138671875}, {"start": 1293.41, "end": 1294.87, "word": " تمام؟", "probability": 0.6105143229166666}, {"start": 1294.87, "end": 1295.25, "word": " إذا", "probability": 0.77294921875}, {"start": 1295.25, "end": 1296.17, "word": " أصبحت", "probability": 0.921630859375}, {"start": 1296.17, "end": 1296.41, "word": " ال", "probability": 0.97900390625}, {"start": 1296.41, "end": 1296.77, "word": " series", "probability": 0.96240234375}, {"start": 1296.77, "end": 1297.91, "word": " الأصلية", "probability": 0.8385416666666666}, {"start": 1297.91, "end": 1298.63, "word": " summation", "probability": 0.685546875}, {"start": 1298.63, "end": 1299.39, "word": " واحد", "probability": 0.861572265625}, {"start": 1299.39, "end": 1299.77, "word": " على", "probability": 0.83349609375}, {"start": 1299.77, "end": 1300.15, "word": " n", "probability": 0.5068359375}, {"start": 1300.15, "end": 1300.83, "word": " factorial", "probability": 0.5009765625}], "temperature": 1.0}, {"id": 58, "seek": 132785, "start": 1301.43, "end": 1327.85, "text": "من n equal one to infinity هذا الأصلية أقل منه أطلع لي هنا الحد الأول واحد الحد التاني واحد على اتنين اقصى واحد الحد التالت واحد على اتنين تربيع الحد الرابع واحد على اتنين تكيب", "tokens": [27842, 297, 2681, 472, 281, 13202, 23758, 16247, 36520, 10632, 5551, 4587, 1211, 9154, 3224, 5551, 9566, 1211, 3615, 32239, 34105, 21542, 3215, 16247, 12610, 36764, 24401, 21542, 3215, 16712, 7649, 1829, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 1975, 4587, 9381, 7578, 36764, 24401, 21542, 3215, 16712, 6027, 2655, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 6055, 2288, 21292, 3615, 21542, 3215, 34892, 16758, 3615, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 6055, 4117, 1829, 3555], "avg_logprob": -0.22536057845140114, "compression_ratio": 1.9801324503311257, "no_speech_prob": 0.0, "words": [{"start": 1301.43, "end": 1301.77, "word": "من", "probability": 0.469482421875}, {"start": 1301.77, "end": 1302.13, "word": " n", "probability": 0.29345703125}, {"start": 1302.13, "end": 1302.65, "word": " equal", "probability": 0.056610107421875}, {"start": 1302.65, "end": 1303.23, "word": " one", "probability": 0.76904296875}, {"start": 1303.23, "end": 1303.61, "word": " to", "probability": 0.9501953125}, {"start": 1303.61, "end": 1304.53, "word": " infinity", "probability": 0.837890625}, {"start": 1304.53, "end": 1305.01, "word": " هذا", "probability": 0.44189453125}, {"start": 1305.01, "end": 1306.01, "word": " الأصلية", "probability": 0.7530924479166666}, {"start": 1306.01, "end": 1307.15, "word": " أقل", "probability": 0.96240234375}, {"start": 1307.15, "end": 1307.91, "word": " منه", "probability": 0.7685546875}, {"start": 1307.91, "end": 1311.75, "word": " أطلع", "probability": 0.442840576171875}, {"start": 1311.75, "end": 1311.89, "word": " لي", "probability": 0.61328125}, {"start": 1311.89, "end": 1312.61, "word": " هنا", "probability": 0.9404296875}, {"start": 1312.61, "end": 1313.41, "word": " الحد", "probability": 0.885498046875}, {"start": 1313.41, "end": 1313.77, "word": " الأول", "probability": 0.945068359375}, {"start": 1313.77, "end": 1314.47, "word": " واحد", "probability": 0.9794921875}, {"start": 1314.47, "end": 1315.17, "word": " الحد", "probability": 0.910400390625}, {"start": 1315.17, "end": 1315.71, "word": " التاني", "probability": 0.9002278645833334}, {"start": 1315.71, "end": 1316.79, "word": " واحد", "probability": 0.9755859375}, {"start": 1316.79, "end": 1317.49, "word": " على", "probability": 0.8359375}, {"start": 1317.49, "end": 1318.23, "word": " اتنين", "probability": 0.9644775390625}, {"start": 1318.23, "end": 1318.65, "word": " اقصى", "probability": 0.724365234375}, {"start": 1318.65, "end": 1319.15, "word": " واحد", "probability": 0.992919921875}, {"start": 1319.15, "end": 1320.31, "word": " الحد", "probability": 0.973388671875}, {"start": 1320.31, "end": 1321.21, "word": " التالت", "probability": 0.93017578125}, {"start": 1321.21, "end": 1322.19, "word": " واحد", "probability": 0.97900390625}, {"start": 1322.19, "end": 1322.43, "word": " على", "probability": 0.9033203125}, {"start": 1322.43, "end": 1323.07, "word": " اتنين", "probability": 0.9781494140625}, {"start": 1323.07, "end": 1323.73, "word": " تربيع", "probability": 0.685546875}, {"start": 1323.73, "end": 1324.35, "word": " الحد", "probability": 0.97705078125}, {"start": 1324.35, "end": 1325.41, "word": " الرابع", "probability": 0.9871419270833334}, {"start": 1325.41, "end": 1326.13, "word": " واحد", "probability": 0.9814453125}, {"start": 1326.13, "end": 1326.39, "word": " على", "probability": 0.93701171875}, {"start": 1326.39, "end": 1327.11, "word": " اتنين", "probability": 0.982177734375}, {"start": 1327.11, "end": 1327.85, "word": " تكيب", "probability": 0.70025634765625}], "temperature": 1.0}, {"id": 59, "seek": 134706, "start": 1328.18, "end": 1347.06, "text": "يبقى قيمة الحد الأس تبقى أقل من الرتبة بمقدار واحد، ممتاز جدا يعني بقدر أقول هذه ال summation لواحد على اتنين أس N ناقص واحد من N equal one to infinity", "tokens": [1829, 3555, 4587, 7578, 12174, 32640, 3660, 21542, 3215, 16247, 3794, 6055, 3555, 4587, 7578, 5551, 4587, 1211, 9154, 34892, 2655, 49401, 4724, 2304, 28543, 9640, 36764, 24401, 12399, 3714, 2304, 2655, 31377, 10874, 28259, 37495, 22653, 4724, 28543, 2288, 5551, 39648, 29538, 2423, 28811, 5296, 14407, 24401, 15844, 1975, 2655, 1863, 9957, 5551, 3794, 426, 8717, 995, 4587, 9381, 36764, 24401, 9154, 426, 2681, 472, 281, 13202], "avg_logprob": -0.17300724983215332, "compression_ratio": 1.4378698224852071, "no_speech_prob": 0.0, "words": [{"start": 1328.18, "end": 1328.92, "word": "يبقى", "probability": 0.911865234375}, {"start": 1328.92, "end": 1329.66, "word": " قيمة", "probability": 0.9905598958333334}, {"start": 1329.66, "end": 1330.48, "word": " الحد", "probability": 0.933837890625}, {"start": 1330.48, "end": 1331.08, "word": " الأس", "probability": 0.499267578125}, {"start": 1331.08, "end": 1331.52, "word": " تبقى", "probability": 0.9212646484375}, {"start": 1331.52, "end": 1332.02, "word": " أقل", "probability": 0.9625651041666666}, {"start": 1332.02, "end": 1332.24, "word": " من", "probability": 0.9931640625}, {"start": 1332.24, "end": 1332.66, "word": " الرتبة", "probability": 0.740234375}, {"start": 1332.66, "end": 1333.5, "word": " بمقدار", "probability": 0.9365234375}, {"start": 1333.5, "end": 1334.42, "word": " واحد،", "probability": 0.7086588541666666}, {"start": 1334.42, "end": 1335.06, "word": " ممتاز", "probability": 0.9178466796875}, {"start": 1335.06, "end": 1335.4, "word": " جدا", "probability": 0.974609375}, {"start": 1335.4, "end": 1336.28, "word": " يعني", "probability": 0.6417236328125}, {"start": 1336.28, "end": 1336.84, "word": " بقدر", "probability": 0.9788411458333334}, {"start": 1336.84, "end": 1337.44, "word": " أقول", "probability": 0.803955078125}, {"start": 1337.44, "end": 1338.08, "word": " هذه", "probability": 0.88525390625}, {"start": 1338.08, "end": 1338.32, "word": " ال", "probability": 0.49365234375}, {"start": 1338.32, "end": 1339.36, "word": " summation", "probability": 0.720703125}, {"start": 1339.36, "end": 1340.76, "word": " لواحد", "probability": 0.6949055989583334}, {"start": 1340.76, "end": 1341.14, "word": " على", "probability": 0.7021484375}, {"start": 1341.14, "end": 1341.86, "word": " اتنين", "probability": 0.951416015625}, {"start": 1341.86, "end": 1342.34, "word": " أس", "probability": 0.897216796875}, {"start": 1342.34, "end": 1342.72, "word": " N", "probability": 0.5908203125}, {"start": 1342.72, "end": 1343.32, "word": " ناقص", "probability": 0.94482421875}, {"start": 1343.32, "end": 1343.88, "word": " واحد", "probability": 0.989501953125}, {"start": 1343.88, "end": 1344.46, "word": " من", "probability": 0.87158203125}, {"start": 1344.46, "end": 1344.9, "word": " N", "probability": 0.875}, {"start": 1344.9, "end": 1345.36, "word": " equal", "probability": 0.623046875}, {"start": 1345.36, "end": 1345.76, "word": " one", "probability": 0.890625}, {"start": 1345.76, "end": 1346.12, "word": " to", "probability": 0.9541015625}, {"start": 1346.12, "end": 1347.06, "word": " infinity", "probability": 0.87353515625}], "temperature": 1.0}, {"id": 60, "seek": 137548, "start": 1348.5, "end": 1375.48, "text": "خلّيني اتأكد اشوف هل الكلام اللي كتبته صحيح هذا والله ما هوش صحيح بحط لإني بواحد بيصير اتنين أقص Zero واحد على واحد واحد هي مظبوطة بعد واحد بيجيني اتنين اتنين نقص واحد بواحد يبقى نص الحمد لله تمام تلاتة نقص واحد باتنين اتنين ترمية اتنين في اتنين اربعة واحد على اتنين تكييف مية لمية", "tokens": [9778, 1211, 11703, 9957, 1829, 1975, 2655, 10721, 4117, 3215, 1975, 8592, 38688, 8032, 1211, 2423, 28820, 10943, 13672, 1829, 9122, 2655, 3555, 47395, 20328, 5016, 1829, 5016, 23758, 16070, 43761, 19446, 31439, 8592, 20328, 5016, 1829, 5016, 4724, 5016, 9566, 5296, 28814, 22653, 4724, 14407, 24401, 4724, 1829, 9381, 13546, 1975, 2655, 1863, 9957, 5551, 4587, 9381, 17182, 36764, 24401, 15844, 36764, 24401, 36764, 24401, 39896, 3714, 19913, 3555, 2407, 9566, 3660, 39182, 36764, 24401, 4724, 1829, 7435, 9957, 1829, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 8717, 4587, 9381, 36764, 24401, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 8717, 9381, 21542, 2304, 3215, 24976, 3224, 46811, 10943, 6055, 1211, 9307, 3660, 8717, 4587, 9381, 36764, 24401, 4724, 9307, 1863, 9957, 1975, 2655, 1863, 9957, 6055, 2288, 2304, 10632, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 1975, 25513, 27884, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 6055, 4117, 1829, 33911, 3714, 10632, 5296, 2304, 10632], "avg_logprob": -0.1948242167942226, "compression_ratio": 2.2008733624454146, "no_speech_prob": 0.0, "words": [{"start": 1348.5, "end": 1349.28, "word": "خلّيني", "probability": 0.80029296875}, {"start": 1349.28, "end": 1349.76, "word": " اتأكد", "probability": 0.78505859375}, {"start": 1349.76, "end": 1350.2, "word": " اشوف", "probability": 0.5939127604166666}, {"start": 1350.2, "end": 1350.48, "word": " هل", "probability": 0.6845703125}, {"start": 1350.48, "end": 1351.02, "word": " الكلام", "probability": 0.8429361979166666}, {"start": 1351.02, "end": 1351.14, "word": " اللي", "probability": 0.863037109375}, {"start": 1351.14, "end": 1351.62, "word": " كتبته", "probability": 0.9638671875}, {"start": 1351.62, "end": 1352.1, "word": " صحيح", "probability": 0.983642578125}, {"start": 1352.1, "end": 1352.38, "word": " هذا", "probability": 0.251220703125}, {"start": 1352.38, "end": 1352.66, "word": " والله", "probability": 0.6400146484375}, {"start": 1352.66, "end": 1352.78, "word": " ما", "probability": 0.8818359375}, {"start": 1352.78, "end": 1353.12, "word": " هوش", "probability": 0.565185546875}, {"start": 1353.12, "end": 1353.62, "word": " صحيح", "probability": 0.996826171875}, {"start": 1353.62, "end": 1354.36, "word": " بحط", "probability": 0.7125651041666666}, {"start": 1354.36, "end": 1354.64, "word": " لإني", "probability": 0.3699951171875}, {"start": 1354.64, "end": 1355.02, "word": " بواحد", "probability": 0.9108072916666666}, {"start": 1355.02, "end": 1355.3, "word": " بيصير", "probability": 0.8095703125}, {"start": 1355.3, "end": 1355.68, "word": " اتنين", "probability": 0.93115234375}, {"start": 1355.68, "end": 1356.28, "word": " أقص", "probability": 0.5957845052083334}, {"start": 1356.28, "end": 1357.44, "word": " Zero", "probability": 0.18896484375}, {"start": 1357.44, "end": 1358.14, "word": " واحد", "probability": 0.904052734375}, {"start": 1358.14, "end": 1358.32, "word": " على", "probability": 0.59375}, {"start": 1358.32, "end": 1358.68, "word": " واحد", "probability": 0.98974609375}, {"start": 1358.68, "end": 1359.06, "word": " واحد", "probability": 0.818603515625}, {"start": 1359.06, "end": 1359.26, "word": " هي", "probability": 0.87548828125}, {"start": 1359.26, "end": 1360.3, "word": " مظبوطة", "probability": 0.94873046875}, {"start": 1360.3, "end": 1361.02, "word": " بعد", "probability": 0.83349609375}, {"start": 1361.02, "end": 1361.32, "word": " واحد", "probability": 0.9912109375}, {"start": 1361.32, "end": 1361.68, "word": " بيجيني", "probability": 0.86083984375}, {"start": 1361.68, "end": 1362.14, "word": " اتنين", "probability": 0.97509765625}, {"start": 1362.14, "end": 1362.44, "word": " اتنين", "probability": 0.9517822265625}, {"start": 1362.44, "end": 1362.86, "word": " نقص", "probability": 0.8688151041666666}, {"start": 1362.86, "end": 1363.38, "word": " واحد", "probability": 0.9892578125}, {"start": 1363.38, "end": 1364.46, "word": " بواحد", "probability": 0.94873046875}, {"start": 1364.46, "end": 1365.26, "word": " يبقى", "probability": 0.9476318359375}, {"start": 1365.26, "end": 1365.66, "word": " نص", "probability": 0.99072265625}, {"start": 1365.66, "end": 1366.18, "word": " الحمد", "probability": 0.9674479166666666}, {"start": 1366.18, "end": 1366.38, "word": " لله", "probability": 0.744873046875}, {"start": 1366.38, "end": 1367.34, "word": " تمام", "probability": 0.99658203125}, {"start": 1367.34, "end": 1368.14, "word": " تلاتة", "probability": 0.9468994140625}, {"start": 1368.14, "end": 1368.64, "word": " نقص", "probability": 0.9895833333333334}, {"start": 1368.64, "end": 1368.98, "word": " واحد", "probability": 0.989501953125}, {"start": 1368.98, "end": 1369.56, "word": " باتنين", "probability": 0.9093017578125}, {"start": 1369.56, "end": 1370.02, "word": " اتنين", "probability": 0.96875}, {"start": 1370.02, "end": 1370.66, "word": " ترمية", "probability": 0.8870849609375}, {"start": 1370.66, "end": 1371.08, "word": " اتنين", "probability": 0.9759521484375}, {"start": 1371.08, "end": 1371.2, "word": " في", "probability": 0.56298828125}, {"start": 1371.2, "end": 1371.72, "word": " اتنين", "probability": 0.97119140625}, {"start": 1371.72, "end": 1372.5, "word": " اربعة", "probability": 0.82958984375}, {"start": 1372.5, "end": 1372.92, "word": " واحد", "probability": 0.948486328125}, {"start": 1372.92, "end": 1373.02, "word": " على", "probability": 0.392578125}, {"start": 1373.02, "end": 1373.34, "word": " اتنين", "probability": 0.980224609375}, {"start": 1373.34, "end": 1374.02, "word": " تكييف", "probability": 0.78680419921875}, {"start": 1374.02, "end": 1374.98, "word": " مية", "probability": 0.82177734375}, {"start": 1374.98, "end": 1375.48, "word": " لمية", "probability": 0.77783203125}], "temperature": 1.0}, {"id": 61, "seek": 140499, "start": 1376.85, "end": 1404.99, "text": "طيب ايه الشرايه كانت ال series هذه بقدر اخليها تبدأ من عند الصفر بدل من عند الواحد بيغيروا ال index واخدنا حاجة اسمها re indexing في section عشر اتنين يعني لو شلت كل انه حطيت مكانها n زائد واحد بصير هذه ال summation من n equal zero to infinity لواحد على اتنين نص n", "tokens": [9566, 1829, 3555, 1975, 1829, 3224, 25124, 23557, 1829, 3224, 25961, 2655, 2423, 2638, 29538, 4724, 28543, 2288, 1975, 9778, 20292, 11296, 6055, 44510, 10721, 9154, 43242, 31767, 5172, 2288, 47525, 1211, 9154, 43242, 2423, 14407, 24401, 4724, 1829, 17082, 13546, 14407, 2423, 8186, 4032, 47283, 3215, 8315, 11331, 26108, 3660, 24525, 2304, 11296, 319, 8186, 278, 8978, 3541, 6225, 46309, 1975, 2655, 1863, 9957, 37495, 22653, 45164, 13412, 1211, 2655, 28242, 16472, 3224, 11331, 9566, 36081, 3714, 41361, 11296, 297, 30767, 16373, 3215, 36764, 24401, 4724, 9381, 13546, 29538, 2423, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 14407, 24401, 15844, 1975, 2655, 1863, 9957, 8717, 9381, 297], "avg_logprob": -0.31022727489471436, "compression_ratio": 1.6774193548387097, "no_speech_prob": 0.0, "words": [{"start": 1376.85, "end": 1377.75, "word": "طيب", "probability": 0.5846761067708334}, {"start": 1377.75, "end": 1378.43, "word": " ايه", "probability": 0.7381998697916666}, {"start": 1378.43, "end": 1378.93, "word": " الشرايه", "probability": 0.51214599609375}, {"start": 1378.93, "end": 1379.27, "word": " كانت", "probability": 0.813232421875}, {"start": 1379.27, "end": 1379.31, "word": " ال", "probability": 0.337890625}, {"start": 1379.31, "end": 1379.53, "word": " series", "probability": 0.5126953125}, {"start": 1379.53, "end": 1379.89, "word": " هذه", "probability": 0.26708984375}, {"start": 1379.89, "end": 1380.33, "word": " بقدر", "probability": 0.8401692708333334}, {"start": 1380.33, "end": 1380.93, "word": " اخليها", "probability": 0.7093505859375}, {"start": 1380.93, "end": 1381.33, "word": " تبدأ", "probability": 0.9542643229166666}, {"start": 1381.33, "end": 1381.49, "word": " من", "probability": 0.970703125}, {"start": 1381.49, "end": 1381.71, "word": " عند", "probability": 0.222900390625}, {"start": 1381.71, "end": 1382.21, "word": " الصفر", "probability": 0.9261067708333334}, {"start": 1382.21, "end": 1382.55, "word": " بدل", "probability": 0.924560546875}, {"start": 1382.55, "end": 1382.69, "word": " من", "probability": 0.93359375}, {"start": 1382.69, "end": 1382.93, "word": " عند", "probability": 0.8837890625}, {"start": 1382.93, "end": 1383.29, "word": " الواحد", "probability": 0.8907877604166666}, {"start": 1383.29, "end": 1385.63, "word": " بيغيروا", "probability": 0.77265625}, {"start": 1385.63, "end": 1385.75, "word": " ال", "probability": 0.9794921875}, {"start": 1385.75, "end": 1386.13, "word": " index", "probability": 0.94482421875}, {"start": 1386.13, "end": 1387.07, "word": " واخدنا", "probability": 0.68890380859375}, {"start": 1387.07, "end": 1387.43, "word": " حاجة", "probability": 0.792236328125}, {"start": 1387.43, "end": 1387.79, "word": " اسمها", "probability": 0.7017415364583334}, {"start": 1387.79, "end": 1387.87, "word": " re", "probability": 0.81005859375}, {"start": 1387.87, "end": 1388.81, "word": " indexing", "probability": 0.534912109375}, {"start": 1388.81, "end": 1389.25, "word": " في", "probability": 0.8154296875}, {"start": 1389.25, "end": 1389.71, "word": " section", "probability": 0.87939453125}, {"start": 1389.71, "end": 1390.17, "word": " عشر", "probability": 0.627685546875}, {"start": 1390.17, "end": 1390.81, "word": " اتنين", "probability": 0.8929443359375}, {"start": 1390.81, "end": 1391.35, "word": " يعني", "probability": 0.810302734375}, {"start": 1391.35, "end": 1391.67, "word": " لو", "probability": 0.453857421875}, {"start": 1391.67, "end": 1392.33, "word": " شلت", "probability": 0.5484212239583334}, {"start": 1392.33, "end": 1392.71, "word": " كل", "probability": 0.96044921875}, {"start": 1392.71, "end": 1393.25, "word": " انه", "probability": 0.6162109375}, {"start": 1393.25, "end": 1393.85, "word": " حطيت", "probability": 0.84033203125}, {"start": 1393.85, "end": 1394.51, "word": " مكانها", "probability": 0.98779296875}, {"start": 1394.51, "end": 1394.87, "word": " n", "probability": 0.53466796875}, {"start": 1394.87, "end": 1395.53, "word": " زائد", "probability": 0.8406575520833334}, {"start": 1395.53, "end": 1396.21, "word": " واحد", "probability": 0.9697265625}, {"start": 1396.21, "end": 1397.23, "word": " بصير", "probability": 0.8876953125}, {"start": 1397.23, "end": 1397.65, "word": " هذه", "probability": 0.822265625}, {"start": 1397.65, "end": 1397.93, "word": " ال", "probability": 0.75341796875}, {"start": 1397.93, "end": 1398.49, "word": " summation", "probability": 0.873046875}, {"start": 1398.49, "end": 1399.37, "word": " من", "probability": 0.974609375}, {"start": 1399.37, "end": 1399.77, "word": " n", "probability": 0.78759765625}, {"start": 1399.77, "end": 1400.27, "word": " equal", "probability": 0.5595703125}, {"start": 1400.27, "end": 1400.83, "word": " zero", "probability": 0.7158203125}, {"start": 1400.83, "end": 1401.15, "word": " to", "probability": 0.951171875}, {"start": 1401.15, "end": 1401.99, "word": " infinity", "probability": 0.88623046875}, {"start": 1401.99, "end": 1403.15, "word": " لواحد", "probability": 0.8639322916666666}, {"start": 1403.15, "end": 1403.45, "word": " على", "probability": 0.73779296875}, {"start": 1403.45, "end": 1404.01, "word": " اتنين", "probability": 0.9771728515625}, {"start": 1404.01, "end": 1404.45, "word": " نص", "probability": 0.95947265625}, {"start": 1404.45, "end": 1404.99, "word": " n", "probability": 0.3408203125}], "temperature": 1.0}, {"id": 62, "seek": 143237, "start": 1409.83, "end": 1432.37, "text": "أو الشكل العام صميشن من N equal zero to infinity لنص to the power N شو رايح في ال series هذه؟ Convert Geometric يتجلي أقل منها بال comparison تستثمر بقى Convert بقول هنا بطولة لكن", "tokens": [10721, 2407, 25124, 28820, 18863, 10943, 20328, 2304, 1829, 8592, 1863, 9154, 426, 2681, 4018, 281, 13202, 5296, 1863, 9381, 281, 264, 1347, 426, 13412, 2407, 12602, 47302, 5016, 8978, 2423, 2638, 29538, 22807, 2656, 3281, 2876, 29470, 7251, 2655, 7435, 20292, 5551, 4587, 1211, 9154, 11296, 20666, 9660, 6055, 14851, 12984, 29973, 4724, 4587, 7578, 2656, 3281, 4724, 39648, 34105, 4724, 9566, 12610, 3660, 44381], "avg_logprob": -0.5289179051100318, "compression_ratio": 1.2959183673469388, "no_speech_prob": 0.0, "words": [{"start": 1409.8300000000002, "end": 1411.15, "word": "أو", "probability": 0.5255126953125}, {"start": 1411.15, "end": 1412.47, "word": " الشكل", "probability": 0.7802734375}, {"start": 1412.47, "end": 1413.33, "word": " العام", "probability": 0.968994140625}, {"start": 1413.33, "end": 1414.27, "word": " صميشن", "probability": 0.44886474609375}, {"start": 1414.27, "end": 1414.49, "word": " من", "probability": 0.9521484375}, {"start": 1414.49, "end": 1414.81, "word": " N", "probability": 0.38232421875}, {"start": 1414.81, "end": 1415.23, "word": " equal", "probability": 0.03173828125}, {"start": 1415.23, "end": 1415.59, "word": " zero", "probability": 0.34814453125}, {"start": 1415.59, "end": 1415.85, "word": " to", "probability": 0.95263671875}, {"start": 1415.85, "end": 1416.57, "word": " infinity", "probability": 0.84423828125}, {"start": 1416.57, "end": 1417.89, "word": " لنص", "probability": 0.7747395833333334}, {"start": 1417.89, "end": 1418.21, "word": " to", "probability": 0.79052734375}, {"start": 1418.21, "end": 1418.41, "word": " the", "probability": 0.8525390625}, {"start": 1418.41, "end": 1419.07, "word": " power", "probability": 0.89111328125}, {"start": 1419.07, "end": 1419.77, "word": " N", "probability": 0.87890625}, {"start": 1419.77, "end": 1420.77, "word": " شو", "probability": 0.55230712890625}, {"start": 1420.77, "end": 1421.07, "word": " رايح", "probability": 0.6304931640625}, {"start": 1421.07, "end": 1421.23, "word": " في", "probability": 0.857421875}, {"start": 1421.23, "end": 1421.29, "word": " ال", "probability": 0.654296875}, {"start": 1421.29, "end": 1421.55, "word": " series", "probability": 0.6787109375}, {"start": 1421.55, "end": 1422.83, "word": " هذه؟", "probability": 0.57666015625}, {"start": 1422.83, "end": 1423.33, "word": " Convert", "probability": 0.19598388671875}, {"start": 1423.33, "end": 1424.15, "word": " Geometric", "probability": 0.5828857421875}, {"start": 1424.15, "end": 1424.67, "word": " يتجلي", "probability": 0.59320068359375}, {"start": 1424.67, "end": 1425.57, "word": " أقل", "probability": 0.9365234375}, {"start": 1425.57, "end": 1426.29, "word": " منها", "probability": 0.991943359375}, {"start": 1426.29, "end": 1427.13, "word": " بال", "probability": 0.96044921875}, {"start": 1427.13, "end": 1427.79, "word": " comparison", "probability": 0.7548828125}, {"start": 1427.79, "end": 1428.53, "word": " تستثمر", "probability": 0.6234130859375}, {"start": 1428.53, "end": 1428.73, "word": " بقى", "probability": 0.4289143880208333}, {"start": 1428.73, "end": 1429.49, "word": " Convert", "probability": 0.6798095703125}, {"start": 1429.49, "end": 1430.33, "word": " بقول", "probability": 0.9140625}, {"start": 1430.33, "end": 1430.69, "word": " هنا", "probability": 0.84521484375}, {"start": 1430.69, "end": 1431.81, "word": " بطولة", "probability": 0.74163818359375}, {"start": 1431.81, "end": 1432.37, "word": " لكن", "probability": 0.6728515625}], "temperature": 1.0}, {"id": 63, "seek": 144087, "start": 1433.73, "end": 1440.87, "text": "Summation للوسط of the power N من N equal zero to infinity converge", "tokens": [50, 40879, 399, 24976, 41779, 9566, 295, 264, 1347, 426, 9154, 426, 2681, 4018, 281, 13202, 41881], "avg_logprob": -0.7339409755335914, "compression_ratio": 0.925, "no_speech_prob": 0.0, "words": [{"start": 1433.7300000000002, "end": 1434.5700000000002, "word": "Summation", "probability": 0.57708740234375}, {"start": 1434.5700000000002, "end": 1435.41, "word": " للوسط", "probability": 0.4860026041666667}, {"start": 1435.41, "end": 1435.57, "word": " of", "probability": 0.329833984375}, {"start": 1435.57, "end": 1435.73, "word": " the", "probability": 0.3916015625}, {"start": 1435.73, "end": 1436.15, "word": " power", "probability": 0.87451171875}, {"start": 1436.15, "end": 1436.53, "word": " N", "probability": 0.548828125}, {"start": 1436.53, "end": 1436.79, "word": " من", "probability": 0.7939453125}, {"start": 1436.79, "end": 1437.13, "word": " N", "probability": 0.55224609375}, {"start": 1437.13, "end": 1437.59, "word": " equal", "probability": 0.138671875}, {"start": 1437.59, "end": 1438.03, "word": " zero", "probability": 0.340576171875}, {"start": 1438.03, "end": 1438.41, "word": " to", "probability": 0.95849609375}, {"start": 1438.41, "end": 1439.51, "word": " infinity", "probability": 0.828125}, {"start": 1439.51, "end": 1440.87, "word": " converge", "probability": 0.291748046875}], "temperature": 1.0}, {"id": 64, "seek": 146854, "start": 1441.92, "end": 1468.54, "text": "جيومتريك سيريز السبب ان absolute value ل R يسوى نص أقل من الواحد الصحيح بقول هنا by the comparison test السيريز الأصلي اللي عندنا summation ل 1 على N factorial", "tokens": [7435, 1829, 20498, 2655, 16572, 4117, 8608, 13546, 1829, 11622, 21136, 3555, 3555, 16472, 8236, 2158, 5296, 497, 7251, 3794, 2407, 7578, 8717, 9381, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 4724, 39648, 34105, 538, 264, 9660, 1500, 2423, 3794, 13546, 1829, 11622, 16247, 9381, 20292, 13672, 1829, 43242, 8315, 28811, 5296, 502, 15844, 426, 36916], "avg_logprob": -0.3586065671483024, "compression_ratio": 1.3409090909090908, "no_speech_prob": 0.0, "words": [{"start": 1441.92, "end": 1443.58, "word": "جيومتريك", "probability": 0.7099711100260416}, {"start": 1443.58, "end": 1444.96, "word": " سيريز", "probability": 0.77520751953125}, {"start": 1444.96, "end": 1446.42, "word": " السبب", "probability": 0.8294270833333334}, {"start": 1446.42, "end": 1448.48, "word": " ان", "probability": 0.36962890625}, {"start": 1448.48, "end": 1449.96, "word": " absolute", "probability": 0.1810302734375}, {"start": 1449.96, "end": 1450.62, "word": " value", "probability": 0.95947265625}, {"start": 1450.62, "end": 1450.82, "word": " ل", "probability": 0.48486328125}, {"start": 1450.82, "end": 1451.24, "word": " R", "probability": 0.266845703125}, {"start": 1451.24, "end": 1452.34, "word": " يسوى", "probability": 0.7469482421875}, {"start": 1452.34, "end": 1452.76, "word": " نص", "probability": 0.796142578125}, {"start": 1452.76, "end": 1453.58, "word": " أقل", "probability": 0.9103190104166666}, {"start": 1453.58, "end": 1453.8, "word": " من", "probability": 0.97705078125}, {"start": 1453.8, "end": 1454.38, "word": " الواحد", "probability": 0.80078125}, {"start": 1454.38, "end": 1455.06, "word": " الصحيح", "probability": 0.90087890625}, {"start": 1455.06, "end": 1456.08, "word": " بقول", "probability": 0.8837890625}, {"start": 1456.08, "end": 1456.6, "word": " هنا", "probability": 0.9658203125}, {"start": 1456.6, "end": 1457.2, "word": " by", "probability": 0.57177734375}, {"start": 1457.2, "end": 1458.26, "word": " the", "probability": 0.6669921875}, {"start": 1458.26, "end": 1459.6, "word": " comparison", "probability": 0.88671875}, {"start": 1459.6, "end": 1460.66, "word": " test", "probability": 0.9267578125}, {"start": 1460.66, "end": 1462.5, "word": " السيريز", "probability": 0.6722412109375}, {"start": 1462.5, "end": 1464.3, "word": " الأصلي", "probability": 0.8131510416666666}, {"start": 1464.3, "end": 1464.68, "word": " اللي", "probability": 0.83203125}, {"start": 1464.68, "end": 1465.08, "word": " عندنا", "probability": 0.832275390625}, {"start": 1465.08, "end": 1465.98, "word": " summation", "probability": 0.8115234375}, {"start": 1465.98, "end": 1466.76, "word": " ل", "probability": 0.4384765625}, {"start": 1466.76, "end": 1467.1, "word": " 1", "probability": 0.47265625}, {"start": 1467.1, "end": 1467.46, "word": " على", "probability": 0.4755859375}, {"start": 1467.46, "end": 1467.78, "word": " N", "probability": 0.6533203125}, {"start": 1467.78, "end": 1468.54, "word": " factorial", "probability": 0.6083984375}], "temperature": 1.0}, {"id": 65, "seek": 148586, "start": 1468.88, "end": 1485.86, "text": "من N equal one to infinity converge.من اللي بدى يسأل ايه؟ بتساوى؟ لا هي راجل، فيه احتمال انه ميتساوى؟", "tokens": [27842, 426, 2681, 472, 281, 13202, 41881, 13, 27842, 13672, 1829, 47525, 7578, 7251, 3794, 10721, 1211, 1975, 1829, 3224, 22807, 39894, 3794, 995, 2407, 7578, 22807, 20193, 39896, 12602, 26108, 1211, 12399, 8978, 3224, 1975, 33753, 2304, 6027, 16472, 3224, 3714, 36081, 3794, 995, 2407, 7578, 22807], "avg_logprob": -0.44387755102040816, "compression_ratio": 1.2093023255813953, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1468.88, "end": 1469.26, "word": "من", "probability": 0.78564453125}, {"start": 1469.26, "end": 1469.58, "word": " N", "probability": 0.27734375}, {"start": 1469.58, "end": 1470.0, "word": " equal", "probability": 0.02471923828125}, {"start": 1470.0, "end": 1470.42, "word": " one", "probability": 0.70849609375}, {"start": 1470.42, "end": 1470.7, "word": " to", "probability": 0.9326171875}, {"start": 1470.7, "end": 1471.48, "word": " infinity", "probability": 0.8671875}, {"start": 1471.48, "end": 1472.9, "word": " converge", "probability": 0.810546875}, {"start": 1472.9, "end": 1474.72, "word": ".من", "probability": 0.3389892578125}, {"start": 1474.72, "end": 1474.92, "word": " اللي", "probability": 0.60321044921875}, {"start": 1474.92, "end": 1475.18, "word": " بدى", "probability": 0.32562255859375}, {"start": 1475.18, "end": 1475.46, "word": " يسأل", "probability": 0.9229736328125}, {"start": 1475.46, "end": 1475.92, "word": " ايه؟", "probability": 0.548004150390625}, {"start": 1475.92, "end": 1481.02, "word": " بتساوى؟", "probability": 0.6805623372395834}, {"start": 1481.02, "end": 1481.88, "word": " لا", "probability": 0.467529296875}, {"start": 1481.88, "end": 1482.04, "word": " هي", "probability": 0.63232421875}, {"start": 1482.04, "end": 1483.48, "word": " راجل،", "probability": 0.80902099609375}, {"start": 1483.48, "end": 1484.06, "word": " فيه", "probability": 0.5208740234375}, {"start": 1484.06, "end": 1484.6, "word": " احتمال", "probability": 0.982177734375}, {"start": 1484.6, "end": 1484.84, "word": " انه", "probability": 0.765625}, {"start": 1484.84, "end": 1485.86, "word": " ميتساوى؟", "probability": 0.9174107142857143}], "temperature": 1.0}, {"id": 66, "seek": 151036, "start": 1486.94, "end": 1510.36, "text": "سيريز هذي مش عندي حد هنا سيريز تو infinite يبقى احتمال المساواة غير وارد بتاتا طبعا طيب الان لحد هنا stop انتهينا من النصف الاول من هذا ال section وهو ال comparison test بدنا نيجي للنصف الثاني اللي هو limit comparison test", "tokens": [3794, 13546, 1829, 11622, 8032, 8848, 1829, 37893, 18871, 16254, 11331, 3215, 34105, 8608, 13546, 1829, 11622, 33427, 13785, 7251, 3555, 4587, 7578, 1975, 33753, 2304, 6027, 9673, 3794, 995, 14407, 3660, 32771, 13546, 4032, 9640, 3215, 39894, 9307, 995, 23032, 3555, 3615, 995, 23032, 1829, 3555, 2423, 7649, 5296, 24401, 34105, 1590, 16472, 47395, 1829, 8315, 9154, 28239, 9381, 5172, 42963, 12610, 9154, 23758, 2423, 3541, 37037, 2407, 2423, 9660, 1500, 47525, 8315, 8717, 1829, 7435, 1829, 24976, 1863, 9381, 5172, 6024, 104, 7649, 1829, 13672, 1829, 31439, 4948, 9660, 1500], "avg_logprob": -0.2417674679909983, "compression_ratio": 1.6956521739130435, "no_speech_prob": 0.0, "words": [{"start": 1486.94, "end": 1487.88, "word": "سيريز", "probability": 0.706787109375}, {"start": 1487.88, "end": 1488.2, "word": " هذي", "probability": 0.4025472005208333}, {"start": 1488.2, "end": 1488.38, "word": " مش", "probability": 0.9404296875}, {"start": 1488.38, "end": 1488.72, "word": " عندي", "probability": 0.9326171875}, {"start": 1488.72, "end": 1489.06, "word": " حد", "probability": 0.984130859375}, {"start": 1489.06, "end": 1489.22, "word": " هنا", "probability": 0.3525390625}, {"start": 1489.22, "end": 1489.82, "word": " سيريز", "probability": 0.784423828125}, {"start": 1489.82, "end": 1490.04, "word": " تو", "probability": 0.08856201171875}, {"start": 1490.04, "end": 1490.78, "word": " infinite", "probability": 0.4375}, {"start": 1490.78, "end": 1492.04, "word": " يبقى", "probability": 0.9071044921875}, {"start": 1492.04, "end": 1492.56, "word": " احتمال", "probability": 0.9669189453125}, {"start": 1492.56, "end": 1493.4, "word": " المساواة", "probability": 0.899609375}, {"start": 1493.4, "end": 1493.82, "word": " غير", "probability": 0.979736328125}, {"start": 1493.82, "end": 1494.36, "word": " وارد", "probability": 0.9405924479166666}, {"start": 1494.36, "end": 1495.34, "word": " بتاتا", "probability": 0.7726236979166666}, {"start": 1495.34, "end": 1496.28, "word": " طبعا", "probability": 0.765625}, {"start": 1496.28, "end": 1497.96, "word": " طيب", "probability": 0.9303385416666666}, {"start": 1497.96, "end": 1498.64, "word": " الان", "probability": 0.7105712890625}, {"start": 1498.64, "end": 1499.04, "word": " لحد", "probability": 0.9365234375}, {"start": 1499.04, "end": 1499.26, "word": " هنا", "probability": 0.955078125}, {"start": 1499.26, "end": 1499.86, "word": " stop", "probability": 0.334228515625}, {"start": 1499.86, "end": 1500.7, "word": " انتهينا", "probability": 0.8414306640625}, {"start": 1500.7, "end": 1500.92, "word": " من", "probability": 0.98974609375}, {"start": 1500.92, "end": 1501.48, "word": " النصف", "probability": 0.8819986979166666}, {"start": 1501.48, "end": 1502.06, "word": " الاول", "probability": 0.80322265625}, {"start": 1502.06, "end": 1502.28, "word": " من", "probability": 0.95947265625}, {"start": 1502.28, "end": 1502.6, "word": " هذا", "probability": 0.8857421875}, {"start": 1502.6, "end": 1502.74, "word": " ال", "probability": 0.740234375}, {"start": 1502.74, "end": 1503.14, "word": " section", "probability": 0.85693359375}, {"start": 1503.14, "end": 1503.54, "word": " وهو", "probability": 0.879150390625}, {"start": 1503.54, "end": 1503.7, "word": " ال", "probability": 0.91259765625}, {"start": 1503.7, "end": 1504.3, "word": " comparison", "probability": 0.96240234375}, {"start": 1504.3, "end": 1504.96, "word": " test", "probability": 0.94140625}, {"start": 1504.96, "end": 1505.74, "word": " بدنا", "probability": 0.7288818359375}, {"start": 1505.74, "end": 1506.02, "word": " نيجي", "probability": 0.92333984375}, {"start": 1506.02, "end": 1506.76, "word": " للنصف", "probability": 0.9119873046875}, {"start": 1506.76, "end": 1507.66, "word": " الثاني", "probability": 0.9549560546875}, {"start": 1507.66, "end": 1507.98, "word": " اللي", "probability": 0.919921875}, {"start": 1507.98, "end": 1508.16, "word": " هو", "probability": 0.98486328125}, {"start": 1508.16, "end": 1508.64, "word": " limit", "probability": 0.55908203125}, {"start": 1508.64, "end": 1509.66, "word": " comparison", "probability": 0.9130859375}, {"start": 1509.66, "end": 1510.36, "word": " test", "probability": 0.93212890625}], "temperature": 1.0}, {"id": 67, "seek": 153138, "start": 1521.2, "end": 1531.38, "text": "يبقى الاختبار الثاني نمرة اتنين اللي هو ال limit comparison test", "tokens": [1829, 3555, 4587, 7578, 2423, 47283, 2655, 3555, 9640, 6024, 104, 7649, 1829, 8717, 2304, 25720, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 2423, 4948, 9660, 1500], "avg_logprob": -0.2991071513720921, "compression_ratio": 1.1123595505617978, "no_speech_prob": 0.0, "words": [{"start": 1521.2, "end": 1521.6, "word": "يبقى", "probability": 0.68475341796875}, {"start": 1521.6, "end": 1522.3, "word": " الاختبار", "probability": 0.887353515625}, {"start": 1522.3, "end": 1523.1, "word": " الثاني", "probability": 0.9400634765625}, {"start": 1523.1, "end": 1523.66, "word": " نمرة", "probability": 0.5428059895833334}, {"start": 1523.66, "end": 1524.58, "word": " اتنين", "probability": 0.8199462890625}, {"start": 1524.58, "end": 1525.12, "word": " اللي", "probability": 0.805908203125}, {"start": 1525.12, "end": 1525.24, "word": " هو", "probability": 0.89990234375}, {"start": 1525.24, "end": 1525.36, "word": " ال", "probability": 0.712890625}, {"start": 1525.36, "end": 1525.88, "word": " limit", "probability": 0.89501953125}, {"start": 1525.88, "end": 1528.88, "word": " comparison", "probability": 0.8046875}, {"start": 1528.88, "end": 1531.38, "word": " test", "probability": 0.8828125}], "temperature": 1.0}, {"id": 68, "seek": 156157, "start": 1536.77, "end": 1561.57, "text": "أحنا قلنا هذا ال section فيه اختبارين المرة اللي فاتت أخدنا نص لاختبار الأول حلنا شوية أمثلة عليه كملنا اليوم باقل أمثلة الأقل بنروح للاختبار الثاني اللي هو ال limit comparison test بنص على ما يأتي suppose that افترض انه", "tokens": [10721, 5016, 8315, 12174, 1211, 8315, 23758, 2423, 3541, 8978, 3224, 1975, 46456, 3555, 9640, 9957, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 5551, 9778, 3215, 8315, 8717, 9381, 5296, 47283, 2655, 3555, 9640, 16247, 12610, 11331, 1211, 8315, 13412, 2407, 10632, 5551, 2304, 12984, 37977, 47356, 9122, 42213, 8315, 45595, 20498, 4724, 995, 4587, 1211, 5551, 2304, 12984, 37977, 16247, 4587, 1211, 4724, 1863, 32887, 5016, 24976, 47283, 2655, 3555, 9640, 6024, 104, 7649, 1829, 13672, 1829, 31439, 2423, 4948, 9660, 1500, 44945, 9381, 15844, 19446, 7251, 10721, 31371, 7297, 300, 1975, 5172, 2655, 43042, 16472, 3224], "avg_logprob": -0.2062815668606999, "compression_ratio": 1.7169811320754718, "no_speech_prob": 0.0, "words": [{"start": 1536.77, "end": 1537.19, "word": "أحنا", "probability": 0.6705322265625}, {"start": 1537.19, "end": 1537.55, "word": " قلنا", "probability": 0.7770182291666666}, {"start": 1537.55, "end": 1537.93, "word": " هذا", "probability": 0.705078125}, {"start": 1537.93, "end": 1538.23, "word": " ال", "probability": 0.671875}, {"start": 1538.23, "end": 1538.49, "word": " section", "probability": 0.615234375}, {"start": 1538.49, "end": 1539.23, "word": " فيه", "probability": 0.96728515625}, {"start": 1539.23, "end": 1540.05, "word": " اختبارين", "probability": 0.9673828125}, {"start": 1540.05, "end": 1541.01, "word": " المرة", "probability": 0.75244140625}, {"start": 1541.01, "end": 1541.19, "word": " اللي", "probability": 0.815673828125}, {"start": 1541.19, "end": 1541.51, "word": " فاتت", "probability": 0.71435546875}, {"start": 1541.51, "end": 1542.01, "word": " أخدنا", "probability": 0.9176025390625}, {"start": 1542.01, "end": 1542.45, "word": " نص", "probability": 0.991455078125}, {"start": 1542.45, "end": 1543.19, "word": " لاختبار", "probability": 0.84677734375}, {"start": 1543.19, "end": 1543.69, "word": " الأول", "probability": 0.93603515625}, {"start": 1543.69, "end": 1544.65, "word": " حلنا", "probability": 0.6778157552083334}, {"start": 1544.65, "end": 1545.01, "word": " شوية", "probability": 0.8821614583333334}, {"start": 1545.01, "end": 1545.45, "word": " أمثلة", "probability": 0.900146484375}, {"start": 1545.45, "end": 1545.81, "word": " عليه", "probability": 0.97119140625}, {"start": 1545.81, "end": 1546.41, "word": " كملنا", "probability": 0.7130533854166666}, {"start": 1546.41, "end": 1546.83, "word": " اليوم", "probability": 0.95751953125}, {"start": 1546.83, "end": 1547.67, "word": " باقل", "probability": 0.8995361328125}, {"start": 1547.67, "end": 1548.05, "word": " أمثلة", "probability": 0.9217529296875}, {"start": 1548.05, "end": 1548.47, "word": " الأقل", "probability": 0.687744140625}, {"start": 1548.47, "end": 1549.35, "word": " بنروح", "probability": 0.751220703125}, {"start": 1549.35, "end": 1551.11, "word": " للاختبار", "probability": 0.89697265625}, {"start": 1551.11, "end": 1551.93, "word": " الثاني", "probability": 0.9097900390625}, {"start": 1551.93, "end": 1552.47, "word": " اللي", "probability": 0.923828125}, {"start": 1552.47, "end": 1552.71, "word": " هو", "probability": 0.98095703125}, {"start": 1552.71, "end": 1552.71, "word": " ال", "probability": 0.59814453125}, {"start": 1552.71, "end": 1553.03, "word": " limit", "probability": 0.8486328125}, {"start": 1553.03, "end": 1553.91, "word": " comparison", "probability": 0.873046875}, {"start": 1553.91, "end": 1554.37, "word": " test", "probability": 0.9296875}, {"start": 1554.37, "end": 1554.99, "word": " بنص", "probability": 0.96240234375}, {"start": 1554.99, "end": 1555.37, "word": " على", "probability": 0.82763671875}, {"start": 1555.37, "end": 1555.79, "word": " ما", "probability": 0.9541015625}, {"start": 1555.79, "end": 1556.41, "word": " يأتي", "probability": 0.8927408854166666}, {"start": 1556.41, "end": 1557.39, "word": " suppose", "probability": 0.6650390625}, {"start": 1557.39, "end": 1558.43, "word": " that", "probability": 0.91259765625}, {"start": 1558.43, "end": 1560.77, "word": " افترض", "probability": 0.9283447265625}, {"start": 1560.77, "end": 1561.57, "word": " انه", "probability": 0.73828125}], "temperature": 1.0}, {"id": 69, "seek": 159145, "start": 1562.89, "end": 1591.45, "text": "الـ A N greater than zero and ال B N greater than zero for all N greater than or equal to N capital و ال N هذا is an integer نمرحل بيقول ليه؟", "tokens": [6027, 39184, 316, 426, 5044, 813, 4018, 293, 2423, 363, 426, 5044, 813, 4018, 337, 439, 426, 5044, 813, 420, 2681, 281, 426, 4238, 4032, 2423, 426, 23758, 307, 364, 24922, 8717, 29973, 5016, 1211, 4724, 1829, 39648, 32239, 3224, 22807], "avg_logprob": -0.37220982284772963, "compression_ratio": 1.3070866141732282, "no_speech_prob": 0.0, "words": [{"start": 1562.89, "end": 1563.41, "word": "الـ", "probability": 0.4808349609375}, {"start": 1563.41, "end": 1563.77, "word": " A", "probability": 0.37158203125}, {"start": 1563.77, "end": 1564.39, "word": " N", "probability": 0.469970703125}, {"start": 1564.39, "end": 1565.23, "word": " greater", "probability": 0.1431884765625}, {"start": 1565.23, "end": 1566.03, "word": " than", "probability": 0.9560546875}, {"start": 1566.03, "end": 1566.53, "word": " zero", "probability": 0.5498046875}, {"start": 1566.53, "end": 1567.95, "word": " and", "probability": 0.53125}, {"start": 1567.95, "end": 1569.07, "word": " ال", "probability": 0.84521484375}, {"start": 1569.07, "end": 1569.29, "word": " B", "probability": 0.67529296875}, {"start": 1569.29, "end": 1569.97, "word": " N", "probability": 0.94140625}, {"start": 1569.97, "end": 1570.91, "word": " greater", "probability": 0.91552734375}, {"start": 1570.91, "end": 1571.47, "word": " than", "probability": 0.958984375}, {"start": 1571.47, "end": 1572.09, "word": " zero", "probability": 0.87841796875}, {"start": 1572.09, "end": 1573.65, "word": " for", "probability": 0.79150390625}, {"start": 1573.65, "end": 1575.07, "word": " all", "probability": 0.919921875}, {"start": 1575.07, "end": 1576.05, "word": " N", "probability": 0.77197265625}, {"start": 1576.05, "end": 1576.77, "word": " greater", "probability": 0.49267578125}, {"start": 1576.77, "end": 1577.35, "word": " than", "probability": 0.958984375}, {"start": 1577.35, "end": 1577.71, "word": " or", "probability": 0.9345703125}, {"start": 1577.71, "end": 1578.03, "word": " equal", "probability": 0.93017578125}, {"start": 1578.03, "end": 1578.31, "word": " to", "probability": 0.97509765625}, {"start": 1578.31, "end": 1578.55, "word": " N", "probability": 0.93310546875}, {"start": 1578.55, "end": 1579.27, "word": " capital", "probability": 0.61376953125}, {"start": 1579.27, "end": 1580.19, "word": " و", "probability": 0.54052734375}, {"start": 1580.19, "end": 1580.39, "word": " ال", "probability": 0.6171875}, {"start": 1580.39, "end": 1580.73, "word": " N", "probability": 0.748046875}, {"start": 1580.73, "end": 1581.37, "word": " هذا", "probability": 0.72265625}, {"start": 1581.37, "end": 1582.23, "word": " is", "probability": 0.8623046875}, {"start": 1582.23, "end": 1583.51, "word": " an", "probability": 0.767578125}, {"start": 1583.51, "end": 1585.13, "word": " integer", "probability": 0.8994140625}, {"start": 1585.13, "end": 1588.71, "word": " نمرحل", "probability": 0.539703369140625}, {"start": 1588.71, "end": 1590.89, "word": " بيقول", "probability": 0.80810546875}, {"start": 1590.89, "end": 1591.45, "word": " ليه؟", "probability": 0.8601888020833334}], "temperature": 1.0}, {"id": 70, "seek": 162249, "start": 1593.23, "end": 1622.49, "text": "الـ limit لما ال n tends to infinity لل a n على b n يساوي constant c with c greater than zero then summation على a n and summation على b n and summation are both", "tokens": [6027, 39184, 4948, 5296, 15042, 2423, 297, 12258, 281, 13202, 24976, 257, 297, 15844, 272, 297, 7251, 3794, 995, 45865, 5754, 269, 365, 269, 5044, 813, 4018, 550, 28811, 15844, 257, 297, 293, 28811, 15844, 272, 297, 293, 28811, 366, 1293], "avg_logprob": -0.3184523681799571, "compression_ratio": 1.4453125, "no_speech_prob": 0.0, "words": [{"start": 1593.23, "end": 1593.75, "word": "الـ", "probability": 0.20782470703125}, {"start": 1593.75, "end": 1594.13, "word": " limit", "probability": 0.57861328125}, {"start": 1594.13, "end": 1595.53, "word": " لما", "probability": 0.890625}, {"start": 1595.53, "end": 1595.75, "word": " ال", "probability": 0.9462890625}, {"start": 1595.75, "end": 1596.05, "word": " n", "probability": 0.1458740234375}, {"start": 1596.05, "end": 1596.47, "word": " tends", "probability": 0.50048828125}, {"start": 1596.47, "end": 1596.77, "word": " to", "probability": 0.93505859375}, {"start": 1596.77, "end": 1597.75, "word": " infinity", "probability": 0.859375}, {"start": 1597.75, "end": 1598.81, "word": " لل", "probability": 0.7177734375}, {"start": 1598.81, "end": 1599.25, "word": " a", "probability": 0.5869140625}, {"start": 1599.25, "end": 1599.83, "word": " n", "probability": 0.728515625}, {"start": 1599.83, "end": 1600.25, "word": " على", "probability": 0.71728515625}, {"start": 1600.25, "end": 1600.55, "word": " b", "probability": 0.94580078125}, {"start": 1600.55, "end": 1600.97, "word": " n", "probability": 0.95849609375}, {"start": 1600.97, "end": 1601.95, "word": " يساوي", "probability": 0.87158203125}, {"start": 1601.95, "end": 1602.65, "word": " constant", "probability": 0.8779296875}, {"start": 1602.65, "end": 1603.55, "word": " c", "probability": 0.70947265625}, {"start": 1603.55, "end": 1604.43, "word": " with", "probability": 0.365234375}, {"start": 1604.43, "end": 1604.91, "word": " c", "probability": 0.97412109375}, {"start": 1604.91, "end": 1605.53, "word": " greater", "probability": 0.87060546875}, {"start": 1605.53, "end": 1606.15, "word": " than", "probability": 0.93115234375}, {"start": 1606.15, "end": 1606.71, "word": " zero", "probability": 0.6328125}, {"start": 1606.71, "end": 1607.91, "word": " then", "probability": 0.65869140625}, {"start": 1607.91, "end": 1609.55, "word": " summation", "probability": 0.83349609375}, {"start": 1609.55, "end": 1610.19, "word": " على", "probability": 0.83203125}, {"start": 1610.19, "end": 1610.59, "word": " a", "probability": 0.98681640625}, {"start": 1610.59, "end": 1611.47, "word": " n", "probability": 0.98779296875}, {"start": 1611.47, "end": 1612.23, "word": " and", "probability": 0.95751953125}, {"start": 1612.23, "end": 1613.15, "word": " summation", "probability": 0.9296875}, {"start": 1613.15, "end": 1613.83, "word": " على", "probability": 0.94091796875}, {"start": 1613.83, "end": 1614.25, "word": " b", "probability": 0.9814453125}, {"start": 1614.25, "end": 1614.99, "word": " n", "probability": 0.76708984375}, {"start": 1614.99, "end": 1618.87, "word": " and", "probability": 0.9287109375}, {"start": 1618.87, "end": 1619.55, "word": " summation", "probability": 0.9208984375}, {"start": 1619.55, "end": 1620.57, "word": " are", "probability": 0.52978515625}, {"start": 1620.57, "end": 1622.49, "word": " both", "probability": 0.91357421875}], "temperature": 1.0}, {"id": 71, "seek": 165071, "start": 1623.51, "end": 1650.71, "text": "converge or both diverge النقطة الثانية من هذا الاختبار نمرة اتنين F", "tokens": [1671, 331, 432, 420, 1293, 18558, 432, 28239, 47432, 3660, 6024, 104, 7649, 10632, 9154, 23758, 2423, 47283, 2655, 3555, 9640, 8717, 2304, 25720, 1975, 2655, 1863, 9957, 479], "avg_logprob": -0.18632811804612479, "compression_ratio": 1.1195652173913044, "no_speech_prob": 0.0, "words": [{"start": 1623.51, "end": 1624.91, "word": "converge", "probability": 0.8527018229166666}, {"start": 1624.91, "end": 1626.21, "word": " or", "probability": 0.77001953125}, {"start": 1626.21, "end": 1627.81, "word": " both", "probability": 0.89013671875}, {"start": 1627.81, "end": 1644.59, "word": " diverge", "probability": 0.899658203125}, {"start": 1644.59, "end": 1646.11, "word": " النقطة", "probability": 0.7272135416666666}, {"start": 1646.11, "end": 1646.59, "word": " الثانية", "probability": 0.930419921875}, {"start": 1646.59, "end": 1646.81, "word": " من", "probability": 0.953125}, {"start": 1646.81, "end": 1647.15, "word": " هذا", "probability": 0.9609375}, {"start": 1647.15, "end": 1648.01, "word": " الاختبار", "probability": 0.9068359375}, {"start": 1648.01, "end": 1649.15, "word": " نمرة", "probability": 0.65283203125}, {"start": 1649.15, "end": 1649.83, "word": " اتنين", "probability": 0.947998046875}, {"start": 1649.83, "end": 1650.71, "word": " F", "probability": 0.61474609375}], "temperature": 1.0}, {"id": 72, "seek": 167296, "start": 1651.72, "end": 1672.96, "text": "الـ limit لما ال n tends to infinity لل a n على b n يساوي zero and ال summation على b n converge then summation على a n converge كذلك", "tokens": [6027, 39184, 4948, 5296, 15042, 2423, 297, 12258, 281, 13202, 24976, 257, 297, 15844, 272, 297, 7251, 3794, 995, 45865, 4018, 293, 2423, 28811, 15844, 272, 297, 41881, 550, 28811, 15844, 257, 297, 41881, 9122, 8848, 23275], "avg_logprob": -0.28330592811107635, "compression_ratio": 1.38135593220339, "no_speech_prob": 0.0, "words": [{"start": 1651.72, "end": 1652.22, "word": "الـ", "probability": 0.3519287109375}, {"start": 1652.22, "end": 1652.58, "word": " limit", "probability": 0.671875}, {"start": 1652.58, "end": 1653.3, "word": " لما", "probability": 0.87451171875}, {"start": 1653.3, "end": 1653.48, "word": " ال", "probability": 0.95703125}, {"start": 1653.48, "end": 1653.72, "word": " n", "probability": 0.135498046875}, {"start": 1653.72, "end": 1654.14, "word": " tends", "probability": 0.329833984375}, {"start": 1654.14, "end": 1654.4, "word": " to", "probability": 0.896484375}, {"start": 1654.4, "end": 1655.16, "word": " infinity", "probability": 0.87158203125}, {"start": 1655.16, "end": 1656.02, "word": " لل", "probability": 0.65283203125}, {"start": 1656.02, "end": 1656.52, "word": " a", "probability": 0.71240234375}, {"start": 1656.52, "end": 1656.86, "word": " n", "probability": 0.7099609375}, {"start": 1656.86, "end": 1657.2, "word": " على", "probability": 0.69921875}, {"start": 1657.2, "end": 1657.52, "word": " b", "probability": 0.97021484375}, {"start": 1657.52, "end": 1657.88, "word": " n", "probability": 0.9677734375}, {"start": 1657.88, "end": 1658.92, "word": " يساوي", "probability": 0.935546875}, {"start": 1658.92, "end": 1659.72, "word": " zero", "probability": 0.371337890625}, {"start": 1659.72, "end": 1660.74, "word": " and", "probability": 0.89306640625}, {"start": 1660.74, "end": 1661.6, "word": " ال", "probability": 0.5947265625}, {"start": 1661.6, "end": 1662.3, "word": " summation", "probability": 0.9365234375}, {"start": 1662.3, "end": 1662.94, "word": " على", "probability": 0.83349609375}, {"start": 1662.94, "end": 1663.38, "word": " b", "probability": 0.96484375}, {"start": 1663.38, "end": 1664.0, "word": " n", "probability": 0.95654296875}, {"start": 1664.0, "end": 1665.94, "word": " converge", "probability": 0.966796875}, {"start": 1665.94, "end": 1667.02, "word": " then", "probability": 0.69140625}, {"start": 1667.02, "end": 1668.4, "word": " summation", "probability": 0.7138671875}, {"start": 1668.4, "end": 1669.72, "word": " على", "probability": 0.93359375}, {"start": 1669.72, "end": 1670.28, "word": " a", "probability": 0.99365234375}, {"start": 1670.28, "end": 1670.78, "word": " n", "probability": 0.994140625}, {"start": 1670.78, "end": 1672.28, "word": " converge", "probability": 0.94677734375}, {"start": 1672.28, "end": 1672.96, "word": " كذلك", "probability": 0.9700520833333334}], "temperature": 1.0}, {"id": 73, "seek": 170346, "start": 1673.98, "end": 1703.46, "text": "النقطة الثالثة والاخيرة if limit لما ال N tends to infinity لل A N على B N يسوي infinity and summation على B N diverge then summation على A N diverge كذلك examples test", "tokens": [6027, 1863, 47432, 3660, 6024, 104, 6027, 12984, 3660, 16070, 47283, 48923, 498, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 24976, 316, 426, 15844, 363, 426, 7251, 3794, 45865, 13202, 293, 28811, 15844, 363, 426, 18558, 432, 550, 28811, 15844, 316, 426, 18558, 432, 9122, 8848, 23275, 5110, 1500], "avg_logprob": -0.23743872549019607, "compression_ratio": 1.42, "no_speech_prob": 0.0, "words": [{"start": 1673.98, "end": 1674.68, "word": "النقطة", "probability": 0.8956298828125}, {"start": 1674.68, "end": 1675.38, "word": " الثالثة", "probability": 0.959375}, {"start": 1675.38, "end": 1676.4, "word": " والاخيرة", "probability": 0.7662760416666666}, {"start": 1676.4, "end": 1677.4, "word": " if", "probability": 0.49365234375}, {"start": 1677.4, "end": 1678.68, "word": " limit", "probability": 0.94580078125}, {"start": 1678.68, "end": 1679.6, "word": " لما", "probability": 0.888671875}, {"start": 1679.6, "end": 1679.78, "word": " ال", "probability": 0.93798828125}, {"start": 1679.78, "end": 1680.06, "word": " N", "probability": 0.281494140625}, {"start": 1680.06, "end": 1680.48, "word": " tends", "probability": 0.7734375}, {"start": 1680.48, "end": 1680.74, "word": " to", "probability": 0.91943359375}, {"start": 1680.74, "end": 1681.62, "word": " infinity", "probability": 0.83984375}, {"start": 1681.62, "end": 1682.44, "word": " لل", "probability": 0.454345703125}, {"start": 1682.44, "end": 1682.88, "word": " A", "probability": 0.409912109375}, {"start": 1682.88, "end": 1683.2, "word": " N", "probability": 0.79736328125}, {"start": 1683.2, "end": 1683.56, "word": " على", "probability": 0.75439453125}, {"start": 1683.56, "end": 1683.86, "word": " B", "probability": 0.92626953125}, {"start": 1683.86, "end": 1684.18, "word": " N", "probability": 0.97705078125}, {"start": 1684.18, "end": 1684.9, "word": " يسوي", "probability": 0.7840169270833334}, {"start": 1684.9, "end": 1686.06, "word": " infinity", "probability": 0.5205078125}, {"start": 1686.06, "end": 1687.32, "word": " and", "probability": 0.89501953125}, {"start": 1687.32, "end": 1688.42, "word": " summation", "probability": 0.87353515625}, {"start": 1688.42, "end": 1688.92, "word": " على", "probability": 0.80908203125}, {"start": 1688.92, "end": 1689.26, "word": " B", "probability": 0.96337890625}, {"start": 1689.26, "end": 1689.7, "word": " N", "probability": 0.97705078125}, {"start": 1689.7, "end": 1690.92, "word": " diverge", "probability": 0.650390625}, {"start": 1690.92, "end": 1691.8, "word": " then", "probability": 0.6669921875}, {"start": 1691.8, "end": 1693.08, "word": " summation", "probability": 0.89404296875}, {"start": 1693.08, "end": 1694.18, "word": " على", "probability": 0.90966796875}, {"start": 1694.18, "end": 1694.62, "word": " A", "probability": 0.986328125}, {"start": 1694.62, "end": 1695.12, "word": " N", "probability": 0.9921875}, {"start": 1695.12, "end": 1696.18, "word": " diverge", "probability": 0.756103515625}, {"start": 1696.18, "end": 1696.8, "word": " كذلك", "probability": 0.880859375}, {"start": 1696.8, "end": 1699.2, "word": " examples", "probability": 0.423583984375}, {"start": 1699.2, "end": 1703.46, "word": " test", "probability": 0.89599609375}], "temperature": 1.0}, {"id": 74, "seek": 172961, "start": 1704.83, "end": 1729.61, "text": "the convergence of the following series السؤال الأول نمرة واحد summation", "tokens": [3322, 32181, 295, 264, 3480, 2638, 21136, 33604, 6027, 16247, 12610, 8717, 2304, 25720, 36764, 24401, 28811], "avg_logprob": -0.22612846973869535, "compression_ratio": 1.011111111111111, "no_speech_prob": 0.0, "words": [{"start": 1704.83, "end": 1705.15, "word": "the", "probability": 0.321533203125}, {"start": 1705.15, "end": 1706.21, "word": " convergence", "probability": 0.9453125}, {"start": 1706.21, "end": 1711.21, "word": " of", "probability": 0.96142578125}, {"start": 1711.21, "end": 1712.75, "word": " the", "probability": 0.91162109375}, {"start": 1712.75, "end": 1713.79, "word": " following", "probability": 0.87109375}, {"start": 1713.79, "end": 1717.33, "word": " series", "probability": 0.912109375}, {"start": 1717.33, "end": 1724.55, "word": " السؤال", "probability": 0.92431640625}, {"start": 1724.55, "end": 1725.09, "word": " الأول", "probability": 0.970458984375}, {"start": 1725.09, "end": 1727.11, "word": " نمرة", "probability": 0.624267578125}, {"start": 1727.11, "end": 1727.67, "word": " واحد", "probability": 0.95556640625}, {"start": 1727.67, "end": 1729.61, "word": " summation", "probability": 0.6884765625}], "temperature": 1.0}, {"id": 75, "seek": 174409, "start": 1731.07, "end": 1744.09, "text": "من n equal one to infinity لواحد على n الجذر النوني لمن؟ لانت كيف", "tokens": [27842, 297, 2681, 472, 281, 13202, 5296, 14407, 24401, 15844, 297, 25724, 8848, 2288, 28239, 11536, 1829, 5296, 27842, 22807, 5296, 7649, 2655, 9122, 33911], "avg_logprob": -0.34495190932200503, "compression_ratio": 1.0210526315789474, "no_speech_prob": 0.0, "words": [{"start": 1731.07, "end": 1731.41, "word": "من", "probability": 0.75390625}, {"start": 1731.41, "end": 1731.73, "word": " n", "probability": 0.34375}, {"start": 1731.73, "end": 1732.29, "word": " equal", "probability": 0.242919921875}, {"start": 1732.29, "end": 1732.67, "word": " one", "probability": 0.826171875}, {"start": 1732.67, "end": 1732.95, "word": " to", "probability": 0.951171875}, {"start": 1732.95, "end": 1733.87, "word": " infinity", "probability": 0.86767578125}, {"start": 1733.87, "end": 1735.69, "word": " لواحد", "probability": 0.8193359375}, {"start": 1735.69, "end": 1736.73, "word": " على", "probability": 0.7265625}, {"start": 1736.73, "end": 1737.45, "word": " n", "probability": 0.83544921875}, {"start": 1737.45, "end": 1739.01, "word": " الجذر", "probability": 0.8583984375}, {"start": 1739.01, "end": 1740.43, "word": " النوني", "probability": 0.8557942708333334}, {"start": 1740.43, "end": 1742.33, "word": " لمن؟", "probability": 0.7239583333333334}, {"start": 1742.33, "end": 1743.53, "word": " لانت", "probability": 0.5150553385416666}, {"start": 1743.53, "end": 1744.09, "word": " كيف", "probability": 0.888427734375}], "temperature": 1.0}, {"id": 76, "seek": 177825, "start": 1753.99, "end": 1778.25, "text": "طبعا انا خدنا ال limit comparison test في حالة ال improper integrals مظبوط وكانت هنا بس النقطة الاولى لكن في ال series عملنا limit comparison test على شكل ثلاث نقاط نرجع للنص سبعه ونحاول نناقش نقاط الثلاث وخليك صحي معايا كويس", "tokens": [9566, 3555, 3615, 995, 1975, 8315, 16490, 3215, 8315, 2423, 4948, 9660, 1500, 8978, 11331, 6027, 3660, 2423, 40651, 3572, 1124, 3714, 19913, 3555, 2407, 9566, 4032, 41361, 2655, 34105, 4724, 3794, 28239, 47432, 3660, 42963, 12610, 7578, 44381, 8978, 2423, 2638, 6225, 42213, 8315, 4948, 9660, 1500, 15844, 13412, 28820, 38637, 1211, 5718, 104, 8717, 4587, 41193, 8717, 47341, 3615, 24976, 1863, 9381, 8608, 3555, 3615, 3224, 4032, 1863, 5016, 995, 12610, 8717, 8315, 4587, 8592, 8717, 4587, 41193, 6024, 104, 1211, 5718, 104, 4032, 9778, 20292, 4117, 20328, 5016, 1829, 20449, 995, 25528, 9122, 45865, 3794], "avg_logprob": -0.19523358495548518, "compression_ratio": 1.6308411214953271, "no_speech_prob": 0.0, "words": [{"start": 1753.99, "end": 1754.41, "word": "طبعا", "probability": 0.76385498046875}, {"start": 1754.41, "end": 1754.55, "word": " انا", "probability": 0.6064453125}, {"start": 1754.55, "end": 1754.95, "word": " خدنا", "probability": 0.8489583333333334}, {"start": 1754.95, "end": 1755.05, "word": " ال", "probability": 0.5009765625}, {"start": 1755.05, "end": 1755.29, "word": " limit", "probability": 0.77001953125}, {"start": 1755.29, "end": 1756.13, "word": " comparison", "probability": 0.89208984375}, {"start": 1756.13, "end": 1756.71, "word": " test", "probability": 0.87158203125}, {"start": 1756.71, "end": 1757.09, "word": " في", "probability": 0.75390625}, {"start": 1757.09, "end": 1757.85, "word": " حالة", "probability": 0.9959309895833334}, {"start": 1757.85, "end": 1758.01, "word": " ال", "probability": 0.9541015625}, {"start": 1758.01, "end": 1758.55, "word": " improper", "probability": 0.8662109375}, {"start": 1758.55, "end": 1759.75, "word": " integrals", "probability": 0.950439453125}, {"start": 1759.75, "end": 1760.47, "word": " مظبوط", "probability": 0.76142578125}, {"start": 1760.47, "end": 1761.57, "word": " وكانت", "probability": 0.6806640625}, {"start": 1761.57, "end": 1761.79, "word": " هنا", "probability": 0.37548828125}, {"start": 1761.79, "end": 1762.27, "word": " بس", "probability": 0.8955078125}, {"start": 1762.27, "end": 1762.93, "word": " النقطة", "probability": 0.9480794270833334}, {"start": 1762.93, "end": 1763.37, "word": " الاولى", "probability": 0.8419596354166666}, {"start": 1763.37, "end": 1763.63, "word": " لكن", "probability": 0.7626953125}, {"start": 1763.63, "end": 1763.87, "word": " في", "probability": 0.61572265625}, {"start": 1763.87, "end": 1764.01, "word": " ال", "probability": 0.9052734375}, {"start": 1764.01, "end": 1764.43, "word": " series", "probability": 0.94140625}, {"start": 1764.43, "end": 1765.53, "word": " عملنا", "probability": 0.9944661458333334}, {"start": 1765.53, "end": 1765.85, "word": " limit", "probability": 0.64697265625}, {"start": 1765.85, "end": 1766.59, "word": " comparison", "probability": 0.93994140625}, {"start": 1766.59, "end": 1767.01, "word": " test", "probability": 0.9306640625}, {"start": 1767.01, "end": 1767.27, "word": " على", "probability": 0.83984375}, {"start": 1767.27, "end": 1767.75, "word": " شكل", "probability": 0.9853515625}, {"start": 1767.75, "end": 1768.81, "word": " ثلاث", "probability": 0.95556640625}, {"start": 1768.81, "end": 1769.41, "word": " نقاط", "probability": 0.93505859375}, {"start": 1769.41, "end": 1771.03, "word": " نرجع", "probability": 0.9026692708333334}, {"start": 1771.03, "end": 1772.67, "word": " للنص", "probability": 0.9103190104166666}, {"start": 1772.67, "end": 1773.25, "word": " سبعه", "probability": 0.7591552734375}, {"start": 1773.25, "end": 1774.23, "word": " ونحاول", "probability": 0.923828125}, {"start": 1774.23, "end": 1774.79, "word": " نناقش", "probability": 0.9388427734375}, {"start": 1774.79, "end": 1775.55, "word": " نقاط", "probability": 0.85693359375}, {"start": 1775.55, "end": 1776.53, "word": " الثلاث", "probability": 0.878369140625}, {"start": 1776.53, "end": 1777.25, "word": " وخليك", "probability": 0.8626708984375}, {"start": 1777.25, "end": 1777.59, "word": " صحي", "probability": 0.7620442708333334}, {"start": 1777.59, "end": 1777.83, "word": " معايا", "probability": 0.96484375}, {"start": 1777.83, "end": 1778.25, "word": " كويس", "probability": 0.9825846354166666}], "temperature": 1.0}, {"id": 77, "seek": 179685, "start": 1779.23, "end": 1796.85, "text": "لحظة عندما أخذنا الانستير ما دورناش الحدود positive ولا negative، لكن عندما جينا لل test integral، قالنا الحدود موجبة. عندما جينا لل test comparison، قالنا الحدود موجبة. عندما جينا لل test limit comparison، قالنا كذلك الحدود بدياها موجبة.", "tokens": [1211, 5016, 19913, 3660, 43242, 15042, 5551, 9778, 8848, 8315, 2423, 7649, 14851, 13546, 19446, 11778, 13063, 8315, 8592, 21542, 3215, 23328, 3353, 49429, 3671, 12399, 44381, 43242, 15042, 10874, 1829, 8315, 24976, 1500, 11573, 12399, 50239, 8315, 21542, 3215, 23328, 3714, 29245, 49401, 13, 43242, 15042, 10874, 1829, 8315, 24976, 1500, 9660, 12399, 50239, 8315, 21542, 3215, 23328, 3714, 29245, 49401, 13, 43242, 15042, 10874, 1829, 8315, 24976, 1500, 4948, 9660, 12399, 50239, 8315, 9122, 8848, 23275, 21542, 3215, 23328, 4724, 16254, 995, 11296, 3714, 29245, 49401, 13], "avg_logprob": -0.3437499917215771, "compression_ratio": 2.0833333333333335, "no_speech_prob": 0.0, "words": [{"start": 1779.23, "end": 1779.93, "word": "لحظة", "probability": 0.8226318359375}, {"start": 1779.93, "end": 1780.27, "word": " عندما", "probability": 0.6763916015625}, {"start": 1780.27, "end": 1780.63, "word": " أخذنا", "probability": 0.740081787109375}, {"start": 1780.63, "end": 1781.21, "word": " الانستير", "probability": 0.60797119140625}, {"start": 1781.21, "end": 1781.33, "word": " ما", "probability": 0.20849609375}, {"start": 1781.33, "end": 1782.11, "word": " دورناش", "probability": 0.68267822265625}, {"start": 1782.11, "end": 1782.67, "word": " الحدود", "probability": 0.9485677083333334}, {"start": 1782.67, "end": 1783.13, "word": " positive", "probability": 0.7021484375}, {"start": 1783.13, "end": 1783.39, "word": " ولا", "probability": 0.8740234375}, {"start": 1783.39, "end": 1783.97, "word": " negative،", "probability": 0.59515380859375}, {"start": 1783.97, "end": 1784.13, "word": " لكن", "probability": 0.845703125}, {"start": 1784.13, "end": 1784.41, "word": " عندما", "probability": 0.834228515625}, {"start": 1784.41, "end": 1784.67, "word": " جينا", "probability": 0.665771484375}, {"start": 1784.67, "end": 1784.87, "word": " لل", "probability": 0.759765625}, {"start": 1784.87, "end": 1785.67, "word": " test", "probability": 0.10919189453125}, {"start": 1785.67, "end": 1786.01, "word": " integral،", "probability": 0.26220703125}, {"start": 1786.01, "end": 1786.25, "word": " قالنا", "probability": 0.72802734375}, {"start": 1786.25, "end": 1786.69, "word": " الحدود", "probability": 0.9386393229166666}, {"start": 1786.69, "end": 1787.19, "word": " موجبة.", "probability": 0.8310546875}, {"start": 1787.45, "end": 1788.07, "word": " عندما", "probability": 0.91552734375}, {"start": 1788.07, "end": 1788.37, "word": " جينا", "probability": 0.9718424479166666}, {"start": 1788.37, "end": 1788.57, "word": " لل", "probability": 0.8154296875}, {"start": 1788.57, "end": 1788.63, "word": " test", "probability": 0.8447265625}, {"start": 1788.63, "end": 1789.75, "word": " comparison،", "probability": 0.768310546875}, {"start": 1789.75, "end": 1789.99, "word": " قالنا", "probability": 0.904296875}, {"start": 1789.99, "end": 1790.39, "word": " الحدود", "probability": 0.9856770833333334}, {"start": 1790.39, "end": 1790.91, "word": " موجبة.", "probability": 0.9778645833333334}, {"start": 1791.01, "end": 1791.21, "word": " عندما", "probability": 0.91259765625}, {"start": 1791.21, "end": 1791.55, "word": " جينا", "probability": 0.9913736979166666}, {"start": 1791.55, "end": 1791.75, "word": " لل", "probability": 0.9140625}, {"start": 1791.75, "end": 1792.15, "word": " test", "probability": 0.837890625}, {"start": 1792.15, "end": 1792.15, "word": " limit", "probability": 0.306884765625}, {"start": 1792.15, "end": 1794.09, "word": " comparison،", "probability": 0.897705078125}, {"start": 1794.09, "end": 1794.49, "word": " قالنا", "probability": 0.902587890625}, {"start": 1794.49, "end": 1794.91, "word": " كذلك", "probability": 0.82568359375}, {"start": 1794.91, "end": 1795.63, "word": " الحدود", "probability": 0.9788411458333334}, {"start": 1795.63, "end": 1796.41, "word": " بدياها", "probability": 0.645263671875}, {"start": 1796.41, "end": 1796.85, "word": " موجبة.", "probability": 0.9571940104166666}], "temperature": 1.0}, {"id": 78, "seek": 181316, "start": 1798.62, "end": 1813.16, "text": "قال افترض ان ال a n أكبر من 0 و ال b n أكبر من 0 for all n اللي أكبر من أو يساوي ال n يعني ممكن اجي عند ال واحد ولاجي ال a one موجه بلك ال b one سالم", "tokens": [4587, 6027, 1975, 5172, 2655, 43042, 16472, 2423, 257, 297, 5551, 4117, 26890, 9154, 1958, 4032, 2423, 272, 297, 5551, 4117, 26890, 9154, 1958, 337, 439, 297, 13672, 1829, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 2423, 297, 37495, 22653, 3714, 43020, 1975, 7435, 1829, 43242, 2423, 36764, 24401, 35525, 26108, 1829, 2423, 257, 472, 3714, 29245, 3224, 4724, 23275, 2423, 272, 472, 8608, 45340], "avg_logprob": -0.3469669122029753, "compression_ratio": 1.6549295774647887, "no_speech_prob": 0.0, "words": [{"start": 1798.62, "end": 1799.0, "word": "قال", "probability": 0.52532958984375}, {"start": 1799.0, "end": 1799.52, "word": " افترض", "probability": 0.9295654296875}, {"start": 1799.52, "end": 1799.74, "word": " ان", "probability": 0.845703125}, {"start": 1799.74, "end": 1799.92, "word": " ال", "probability": 0.716796875}, {"start": 1799.92, "end": 1800.16, "word": " a", "probability": 0.2379150390625}, {"start": 1800.16, "end": 1800.4, "word": " n", "probability": 0.35888671875}, {"start": 1800.4, "end": 1800.86, "word": " أكبر", "probability": 0.84521484375}, {"start": 1800.86, "end": 1801.06, "word": " من", "probability": 0.986328125}, {"start": 1801.06, "end": 1801.46, "word": " 0", "probability": 0.1842041015625}, {"start": 1801.46, "end": 1801.64, "word": " و", "probability": 0.4677734375}, {"start": 1801.64, "end": 1801.72, "word": " ال", "probability": 0.75439453125}, {"start": 1801.72, "end": 1801.86, "word": " b", "probability": 0.9638671875}, {"start": 1801.86, "end": 1802.06, "word": " n", "probability": 0.93115234375}, {"start": 1802.06, "end": 1802.38, "word": " أكبر", "probability": 0.9599609375}, {"start": 1802.38, "end": 1802.54, "word": " من", "probability": 0.994140625}, {"start": 1802.54, "end": 1802.84, "word": " 0", "probability": 0.93603515625}, {"start": 1802.84, "end": 1803.18, "word": " for", "probability": 0.79248046875}, {"start": 1803.18, "end": 1803.5, "word": " all", "probability": 0.91650390625}, {"start": 1803.5, "end": 1803.84, "word": " n", "probability": 0.41748046875}, {"start": 1803.84, "end": 1804.06, "word": " اللي", "probability": 0.55877685546875}, {"start": 1804.06, "end": 1804.46, "word": " أكبر", "probability": 0.94873046875}, {"start": 1804.46, "end": 1804.64, "word": " من", "probability": 0.9716796875}, {"start": 1804.64, "end": 1804.92, "word": " أو", "probability": 0.68701171875}, {"start": 1804.92, "end": 1805.78, "word": " يساوي", "probability": 0.8692626953125}, {"start": 1805.78, "end": 1805.92, "word": " ال", "probability": 0.841796875}, {"start": 1805.92, "end": 1806.22, "word": " n", "probability": 0.6005859375}, {"start": 1806.22, "end": 1806.66, "word": " يعني", "probability": 0.85986328125}, {"start": 1806.66, "end": 1807.24, "word": " ممكن", "probability": 0.9716796875}, {"start": 1807.24, "end": 1808.26, "word": " اجي", "probability": 0.579345703125}, {"start": 1808.26, "end": 1808.52, "word": " عند", "probability": 0.9560546875}, {"start": 1808.52, "end": 1808.7, "word": " ال", "probability": 0.98193359375}, {"start": 1808.7, "end": 1809.24, "word": " واحد", "probability": 0.7452392578125}, {"start": 1809.24, "end": 1809.86, "word": " ولاجي", "probability": 0.7357584635416666}, {"start": 1809.86, "end": 1809.96, "word": " ال", "probability": 0.9736328125}, {"start": 1809.96, "end": 1810.2, "word": " a", "probability": 0.9521484375}, {"start": 1810.2, "end": 1810.5, "word": " one", "probability": 0.419921875}, {"start": 1810.5, "end": 1810.94, "word": " موجه", "probability": 0.7006022135416666}, {"start": 1810.94, "end": 1811.2, "word": " بلك", "probability": 0.5250244140625}, {"start": 1811.2, "end": 1811.36, "word": " ال", "probability": 0.9658203125}, {"start": 1811.36, "end": 1812.16, "word": " b", "probability": 0.70458984375}, {"start": 1812.16, "end": 1812.48, "word": " one", "probability": 0.927734375}, {"start": 1812.48, "end": 1813.16, "word": " سالم", "probability": 0.5146484375}], "temperature": 1.0}, {"id": 79, "seek": 184168, "start": 1825.54, "end": 1841.68, "text": "بنفترض بعد عشر حدود يبقى انا بدي ابدأ ان انا نصمش من n equal العشرة ل infinity بصير ال a n أكبر من ال zero و ال b n أكبر من ال zero يبقى بقدر استخدم ال limit comparison تستخدم", "tokens": [3555, 1863, 5172, 2655, 43042, 39182, 6225, 46309, 11331, 3215, 23328, 7251, 3555, 4587, 7578, 1975, 8315, 4724, 16254, 1975, 44510, 10721, 16472, 1975, 8315, 8717, 9381, 2304, 8592, 9154, 297, 2681, 18863, 8592, 25720, 5296, 13202, 4724, 9381, 13546, 2423, 257, 297, 5551, 4117, 26890, 9154, 2423, 4018, 4032, 2423, 272, 297, 5551, 4117, 26890, 9154, 2423, 4018, 7251, 3555, 4587, 7578, 4724, 28543, 2288, 44713, 9778, 40448, 2423, 4948, 9660, 6055, 14851, 9778, 40448], "avg_logprob": -0.4878246675838124, "compression_ratio": 1.5789473684210527, "no_speech_prob": 0.0, "words": [{"start": 1825.54, "end": 1826.18, "word": "بنفترض", "probability": 0.516455078125}, {"start": 1826.18, "end": 1826.48, "word": " بعد", "probability": 0.56005859375}, {"start": 1826.48, "end": 1826.9, "word": " عشر", "probability": 0.91015625}, {"start": 1826.9, "end": 1827.44, "word": " حدود", "probability": 0.9752604166666666}, {"start": 1827.44, "end": 1828.54, "word": " يبقى", "probability": 0.6319732666015625}, {"start": 1828.54, "end": 1828.94, "word": " انا", "probability": 0.7181396484375}, {"start": 1828.94, "end": 1829.48, "word": " بدي", "probability": 0.3690185546875}, {"start": 1829.48, "end": 1829.82, "word": " ابدأ", "probability": 0.6810709635416666}, {"start": 1829.82, "end": 1830.0, "word": " ان", "probability": 0.340087890625}, {"start": 1830.0, "end": 1830.0, "word": " انا", "probability": 0.556396484375}, {"start": 1830.0, "end": 1830.58, "word": " نصمش", "probability": 0.583740234375}, {"start": 1830.58, "end": 1830.86, "word": " من", "probability": 0.951171875}, {"start": 1830.86, "end": 1831.18, "word": " n", "probability": 0.3095703125}, {"start": 1831.18, "end": 1831.56, "word": " equal", "probability": 0.0750732421875}, {"start": 1831.56, "end": 1832.82, "word": " العشرة", "probability": 0.6028238932291666}, {"start": 1832.82, "end": 1833.2, "word": " ل", "probability": 0.7685546875}, {"start": 1833.2, "end": 1834.12, "word": " infinity", "probability": 0.60009765625}, {"start": 1834.12, "end": 1835.08, "word": " بصير", "probability": 0.728271484375}, {"start": 1835.08, "end": 1835.22, "word": " ال", "probability": 0.916015625}, {"start": 1835.22, "end": 1835.44, "word": " a", "probability": 0.403564453125}, {"start": 1835.44, "end": 1835.72, "word": " n", "probability": 0.11346435546875}, {"start": 1835.72, "end": 1836.04, "word": " أكبر", "probability": 0.8338216145833334}, {"start": 1836.04, "end": 1836.24, "word": " من", "probability": 0.98486328125}, {"start": 1836.24, "end": 1836.3, "word": " ال", "probability": 0.40185546875}, {"start": 1836.3, "end": 1836.5, "word": " zero", "probability": 0.7294921875}, {"start": 1836.5, "end": 1836.72, "word": " و", "probability": 0.5556640625}, {"start": 1836.72, "end": 1836.78, "word": " ال", "probability": 0.84375}, {"start": 1836.78, "end": 1836.94, "word": " b", "probability": 0.92236328125}, {"start": 1836.94, "end": 1837.2, "word": " n", "probability": 0.7861328125}, {"start": 1837.2, "end": 1837.52, "word": " أكبر", "probability": 0.9287109375}, {"start": 1837.52, "end": 1837.7, "word": " من", "probability": 0.97900390625}, {"start": 1837.7, "end": 1837.8, "word": " ال", "probability": 0.94287109375}, {"start": 1837.8, "end": 1837.96, "word": " zero", "probability": 0.9052734375}, {"start": 1837.96, "end": 1838.2, "word": " يبقى", "probability": 0.9110107421875}, {"start": 1838.2, "end": 1838.58, "word": " بقدر", "probability": 0.95849609375}, {"start": 1838.58, "end": 1839.06, "word": " استخدم", "probability": 0.6915690104166666}, {"start": 1839.06, "end": 1839.5, "word": " ال", "probability": 0.3681640625}, {"start": 1839.5, "end": 1840.38, "word": " limit", "probability": 0.8544921875}, {"start": 1840.38, "end": 1841.2, "word": " comparison", "probability": 0.254150390625}, {"start": 1841.2, "end": 1841.68, "word": " تستخدم", "probability": 0.697265625}], "temperature": 1.0}, {"id": 80, "seek": 185949, "start": 1843.05, "end": 1859.49, "text": "مهما العدد المحدود من حدود ال series لا يؤثر على ال convergence ولا على ال divergence لهذه ال series بيقول جيك جسمت الحد النوني AN على الحد النوني BN", "tokens": [2304, 3224, 15042, 18863, 3215, 3215, 9673, 24401, 23328, 9154, 11331, 3215, 23328, 2423, 2638, 20193, 7251, 33604, 49115, 15844, 2423, 32181, 49429, 15844, 2423, 47387, 46740, 24192, 2423, 2638, 4724, 1829, 39648, 10874, 1829, 4117, 10874, 38251, 2655, 21542, 3215, 28239, 11536, 1829, 5252, 15844, 21542, 3215, 28239, 11536, 1829, 363, 45], "avg_logprob": -0.2734375011037897, "compression_ratio": 1.6293706293706294, "no_speech_prob": 0.0, "words": [{"start": 1843.05, "end": 1843.75, "word": "مهما", "probability": 0.5329488118489584}, {"start": 1843.75, "end": 1844.35, "word": " العدد", "probability": 0.888671875}, {"start": 1844.35, "end": 1844.93, "word": " المحدود", "probability": 0.85205078125}, {"start": 1844.93, "end": 1845.13, "word": " من", "probability": 0.9248046875}, {"start": 1845.13, "end": 1845.59, "word": " حدود", "probability": 0.9796549479166666}, {"start": 1845.59, "end": 1845.73, "word": " ال", "probability": 0.67041015625}, {"start": 1845.73, "end": 1846.07, "word": " series", "probability": 0.681640625}, {"start": 1846.07, "end": 1846.81, "word": " لا", "probability": 0.6845703125}, {"start": 1846.81, "end": 1847.33, "word": " يؤثر", "probability": 0.9482421875}, {"start": 1847.33, "end": 1847.53, "word": " على", "probability": 0.9189453125}, {"start": 1847.53, "end": 1847.65, "word": " ال", "probability": 0.8349609375}, {"start": 1847.65, "end": 1848.17, "word": " convergence", "probability": 0.80078125}, {"start": 1848.17, "end": 1848.67, "word": " ولا", "probability": 0.8720703125}, {"start": 1848.67, "end": 1848.95, "word": " على", "probability": 0.890625}, {"start": 1848.95, "end": 1849.09, "word": " ال", "probability": 0.93408203125}, {"start": 1849.09, "end": 1849.73, "word": " divergence", "probability": 0.9921875}, {"start": 1849.73, "end": 1850.57, "word": " لهذه", "probability": 0.900390625}, {"start": 1850.57, "end": 1850.97, "word": " ال", "probability": 0.8857421875}, {"start": 1850.97, "end": 1851.49, "word": " series", "probability": 0.9111328125}, {"start": 1851.49, "end": 1853.45, "word": " بيقول", "probability": 0.6383463541666666}, {"start": 1853.45, "end": 1853.89, "word": " جيك", "probability": 0.5489501953125}, {"start": 1853.89, "end": 1854.91, "word": " جسمت", "probability": 0.8932291666666666}, {"start": 1854.91, "end": 1855.73, "word": " الحد", "probability": 0.941162109375}, {"start": 1855.73, "end": 1856.27, "word": " النوني", "probability": 0.8333333333333334}, {"start": 1856.27, "end": 1856.67, "word": " AN", "probability": 0.1563720703125}, {"start": 1856.67, "end": 1857.21, "word": " على", "probability": 0.7412109375}, {"start": 1857.21, "end": 1857.81, "word": " الحد", "probability": 0.973876953125}, {"start": 1857.81, "end": 1858.53, "word": " النوني", "probability": 0.9557291666666666}, {"start": 1858.53, "end": 1859.49, "word": " BN", "probability": 0.8916015625}], "temperature": 1.0}, {"id": 81, "seek": 188832, "start": 1860.28, "end": 1888.32, "text": "يعني BN هذه ال series تانية هو بيعطيها لي غير ال AN؟ لأ، هو بيعطيني ال series واحدة، هاي السؤال، بيعطيني ال series واحدة طب و أنا إيش بدأ أسويه؟ أنت لحالك بدك تروح تجيب ال series تانية ال series التانية بدأت تكون معروفة بالنسبالك هل هي converged أو diverged قبل ما نبدأ يعني ال summation على BN معروفة بالنسبالي هل هي converged", "tokens": [40228, 22653, 363, 45, 29538, 2423, 2638, 6055, 7649, 10632, 31439, 4724, 40228, 9566, 1829, 11296, 32239, 32771, 13546, 2423, 5252, 22807, 5296, 10721, 12399, 31439, 4724, 40228, 9566, 1829, 22653, 2423, 2638, 36764, 24401, 3660, 12399, 8032, 47302, 21136, 33604, 6027, 12399, 4724, 40228, 9566, 1829, 22653, 2423, 2638, 36764, 24401, 3660, 23032, 3555, 4032, 41850, 11933, 1829, 8592, 47525, 10721, 5551, 3794, 45865, 3224, 22807, 14739, 2655, 5296, 5016, 6027, 4117, 47525, 4117, 6055, 32887, 5016, 6055, 7435, 1829, 3555, 2423, 2638, 6055, 7649, 10632, 2423, 2638, 16712, 7649, 10632, 47525, 10721, 2655, 6055, 30544, 20449, 32887, 5172, 3660, 20666, 1863, 35457, 6027, 4117, 8032, 1211, 39896, 9652, 3004, 34051, 18558, 3004, 12174, 36150, 19446, 8717, 44510, 10721, 37495, 22653, 2423, 28811, 15844, 363, 45, 20449, 32887, 5172, 3660, 20666, 1863, 35457, 6027, 1829, 8032, 1211, 39896, 9652, 3004], "avg_logprob": -0.21753961078717676, "compression_ratio": 2.0431372549019606, "no_speech_prob": 0.0, "words": [{"start": 1860.28, "end": 1860.72, "word": "يعني", "probability": 0.638427734375}, {"start": 1860.72, "end": 1861.58, "word": " BN", "probability": 0.46234130859375}, {"start": 1861.58, "end": 1862.2, "word": " هذه", "probability": 0.662109375}, {"start": 1862.2, "end": 1862.6, "word": " ال", "probability": 0.461669921875}, {"start": 1862.6, "end": 1862.6, "word": " series", "probability": 0.52099609375}, {"start": 1862.6, "end": 1863.06, "word": " تانية", "probability": 0.9381510416666666}, {"start": 1863.06, "end": 1863.34, "word": " هو", "probability": 0.82470703125}, {"start": 1863.34, "end": 1864.04, "word": " بيعطيها", "probability": 0.84404296875}, {"start": 1864.04, "end": 1864.22, "word": " لي", "probability": 0.8125}, {"start": 1864.22, "end": 1864.52, "word": " غير", "probability": 0.993896484375}, {"start": 1864.52, "end": 1864.76, "word": " ال", "probability": 0.8486328125}, {"start": 1864.76, "end": 1866.16, "word": " AN؟", "probability": 0.5904541015625}, {"start": 1866.16, "end": 1866.36, "word": " لأ،", "probability": 0.4968668619791667}, {"start": 1866.36, "end": 1866.52, "word": " هو", "probability": 0.84228515625}, {"start": 1866.52, "end": 1867.06, "word": " بيعطيني", "probability": 0.87509765625}, {"start": 1867.06, "end": 1867.18, "word": " ال", "probability": 0.67236328125}, {"start": 1867.18, "end": 1867.46, "word": " series", "probability": 0.93212890625}, {"start": 1867.46, "end": 1868.5, "word": " واحدة،", "probability": 0.836669921875}, {"start": 1868.5, "end": 1868.92, "word": " هاي", "probability": 0.6385498046875}, {"start": 1868.92, "end": 1869.46, "word": " السؤال،", "probability": 0.89306640625}, {"start": 1869.46, "end": 1869.84, "word": " بيعطيني", "probability": 0.805712890625}, {"start": 1869.84, "end": 1869.98, "word": " ال", "probability": 0.9892578125}, {"start": 1869.98, "end": 1870.22, "word": " series", "probability": 0.9462890625}, {"start": 1870.22, "end": 1870.76, "word": " واحدة", "probability": 0.9931640625}, {"start": 1870.76, "end": 1871.22, "word": " طب", "probability": 0.682861328125}, {"start": 1871.22, "end": 1871.3, "word": " و", "probability": 0.64208984375}, {"start": 1871.3, "end": 1871.4, "word": " أنا", "probability": 0.4443359375}, {"start": 1871.4, "end": 1871.46, "word": " إيش", "probability": 0.7388509114583334}, {"start": 1871.46, "end": 1871.66, "word": " بدأ", "probability": 0.5694580078125}, {"start": 1871.66, "end": 1872.4, "word": " أسويه؟", "probability": 0.89716796875}, {"start": 1872.4, "end": 1873.24, "word": " أنت", "probability": 0.774169921875}, {"start": 1873.24, "end": 1873.98, "word": " لحالك", "probability": 0.9881591796875}, {"start": 1873.98, "end": 1874.36, "word": " بدك", "probability": 0.66259765625}, {"start": 1874.36, "end": 1874.9, "word": " تروح", "probability": 0.99560546875}, {"start": 1874.9, "end": 1875.52, "word": " تجيب", "probability": 0.943359375}, {"start": 1875.52, "end": 1875.7, "word": " ال", "probability": 0.7158203125}, {"start": 1875.7, "end": 1876.22, "word": " series", "probability": 0.94091796875}, {"start": 1876.22, "end": 1876.9, "word": " تانية", "probability": 0.9640299479166666}, {"start": 1876.9, "end": 1877.46, "word": " ال", "probability": 0.58984375}, {"start": 1877.46, "end": 1877.84, "word": " series", "probability": 0.9443359375}, {"start": 1877.84, "end": 1878.38, "word": " التانية", "probability": 0.9684244791666666}, {"start": 1878.38, "end": 1878.64, "word": " بدأت", "probability": 0.6190592447916666}, {"start": 1878.64, "end": 1878.82, "word": " تكون", "probability": 0.9580078125}, {"start": 1878.82, "end": 1879.64, "word": " معروفة", "probability": 0.989013671875}, {"start": 1879.64, "end": 1880.52, "word": " بالنسبالك", "probability": 0.98896484375}, {"start": 1880.52, "end": 1880.7, "word": " هل", "probability": 0.691162109375}, {"start": 1880.7, "end": 1880.88, "word": " هي", "probability": 0.9111328125}, {"start": 1880.88, "end": 1881.5, "word": " converged", "probability": 0.65966796875}, {"start": 1881.5, "end": 1881.7, "word": " أو", "probability": 0.74658203125}, {"start": 1881.7, "end": 1882.24, "word": " diverged", "probability": 0.783447265625}, {"start": 1882.24, "end": 1882.42, "word": " قبل", "probability": 0.8623046875}, {"start": 1882.42, "end": 1882.58, "word": " ما", "probability": 0.98779296875}, {"start": 1882.58, "end": 1883.1, "word": " نبدأ", "probability": 0.97705078125}, {"start": 1883.1, "end": 1883.74, "word": " يعني", "probability": 0.81103515625}, {"start": 1883.74, "end": 1883.92, "word": " ال", "probability": 0.6865234375}, {"start": 1883.92, "end": 1884.46, "word": " summation", "probability": 0.95068359375}, {"start": 1884.46, "end": 1885.1, "word": " على", "probability": 0.888671875}, {"start": 1885.1, "end": 1885.78, "word": " BN", "probability": 0.935791015625}, {"start": 1885.78, "end": 1886.38, "word": " معروفة", "probability": 0.9783935546875}, {"start": 1886.38, "end": 1887.18, "word": " بالنسبالي", "probability": 0.99248046875}, {"start": 1887.18, "end": 1887.46, "word": " هل", "probability": 0.93359375}, {"start": 1887.46, "end": 1887.62, "word": " هي", "probability": 0.966796875}, {"start": 1887.62, "end": 1888.32, "word": " converged", "probability": 0.928955078125}], "temperature": 1.0}, {"id": 82, "seek": 190619, "start": 1888.55, "end": 1906.19, "text": "أو the very waffle غالب بتكون واحدة من التلاتة المشهورة طب بدي أجيبها من وين؟ بدي أجيبها من ال series اللي موجودة عندي يعني بدي أخلق series من ال series اللي موجودة كل سؤال بما يناسبه تمام؟", "tokens": [10721, 2407, 264, 588, 44328, 32771, 6027, 3555, 4724, 2655, 30544, 36764, 24401, 3660, 9154, 16712, 1211, 9307, 3660, 9673, 8592, 3224, 13063, 3660, 23032, 3555, 4724, 16254, 5551, 7435, 1829, 3555, 11296, 9154, 4032, 9957, 22807, 4724, 16254, 5551, 7435, 1829, 3555, 11296, 9154, 2423, 2638, 13672, 1829, 3714, 29245, 23328, 3660, 18871, 16254, 37495, 22653, 4724, 16254, 5551, 9778, 1211, 4587, 2638, 9154, 2423, 2638, 13672, 1829, 3714, 29245, 23328, 3660, 28242, 8608, 33604, 6027, 4724, 15042, 7251, 8315, 35457, 3224, 46811, 10943, 22807], "avg_logprob": -0.17618534414247536, "compression_ratio": 1.7771428571428571, "no_speech_prob": 0.0, "words": [{"start": 1888.55, "end": 1889.09, "word": "أو", "probability": 0.754638671875}, {"start": 1889.09, "end": 1889.27, "word": " the", "probability": 0.1895751953125}, {"start": 1889.27, "end": 1889.75, "word": " very", "probability": 0.736328125}, {"start": 1889.75, "end": 1890.31, "word": " waffle", "probability": 0.59375}, {"start": 1890.31, "end": 1891.03, "word": " غالب", "probability": 0.8756510416666666}, {"start": 1891.03, "end": 1891.83, "word": " بتكون", "probability": 0.51318359375}, {"start": 1891.83, "end": 1892.33, "word": " واحدة", "probability": 0.96142578125}, {"start": 1892.33, "end": 1892.49, "word": " من", "probability": 0.98681640625}, {"start": 1892.49, "end": 1893.23, "word": " التلاتة", "probability": 0.882080078125}, {"start": 1893.23, "end": 1893.81, "word": " المشهورة", "probability": 0.9884765625}, {"start": 1893.81, "end": 1893.99, "word": " طب", "probability": 0.767822265625}, {"start": 1893.99, "end": 1894.13, "word": " بدي", "probability": 0.5810546875}, {"start": 1894.13, "end": 1894.43, "word": " أجيبها", "probability": 0.9072265625}, {"start": 1894.43, "end": 1894.57, "word": " من", "probability": 0.98779296875}, {"start": 1894.57, "end": 1895.21, "word": " وين؟", "probability": 0.704833984375}, {"start": 1895.21, "end": 1895.85, "word": " بدي", "probability": 0.966796875}, {"start": 1895.85, "end": 1896.21, "word": " أجيبها", "probability": 0.97568359375}, {"start": 1896.21, "end": 1896.37, "word": " من", "probability": 0.9892578125}, {"start": 1896.37, "end": 1896.53, "word": " ال", "probability": 0.62744140625}, {"start": 1896.53, "end": 1896.77, "word": " series", "probability": 0.94775390625}, {"start": 1896.77, "end": 1897.09, "word": " اللي", "probability": 0.9423828125}, {"start": 1897.09, "end": 1897.75, "word": " موجودة", "probability": 0.9830322265625}, {"start": 1897.75, "end": 1898.17, "word": " عندي", "probability": 0.7279052734375}, {"start": 1898.17, "end": 1898.89, "word": " يعني", "probability": 0.80419921875}, {"start": 1898.89, "end": 1899.25, "word": " بدي", "probability": 0.863037109375}, {"start": 1899.25, "end": 1900.05, "word": " أخلق", "probability": 0.9627685546875}, {"start": 1900.05, "end": 1900.51, "word": " series", "probability": 0.90478515625}, {"start": 1900.51, "end": 1900.77, "word": " من", "probability": 0.9765625}, {"start": 1900.77, "end": 1900.97, "word": " ال", "probability": 0.9443359375}, {"start": 1900.97, "end": 1901.27, "word": " series", "probability": 0.96240234375}, {"start": 1901.27, "end": 1901.55, "word": " اللي", "probability": 0.989501953125}, {"start": 1901.55, "end": 1902.03, "word": " موجودة", "probability": 0.991943359375}, {"start": 1902.03, "end": 1902.49, "word": " كل", "probability": 0.8818359375}, {"start": 1902.49, "end": 1903.41, "word": " سؤال", "probability": 0.9933268229166666}, {"start": 1903.41, "end": 1903.89, "word": " بما", "probability": 0.961669921875}, {"start": 1903.89, "end": 1905.03, "word": " يناسبه", "probability": 0.9906005859375}, {"start": 1905.03, "end": 1906.19, "word": " تمام؟", "probability": 0.80322265625}], "temperature": 1.0}, {"id": 83, "seek": 192309, "start": 1906.77, "end": 1923.09, "text": "بقول كويس خلقنا series of motion على BN واخدنا الحد النوني تبعها يلجأ N على BN أخدت ال limit لما ال N بدأ تروح لمالة نهاية طلع الناتج قيمة عددية وهذه القيمة أكبر من 200", "tokens": [3555, 39648, 9122, 45865, 3794, 16490, 1211, 4587, 8315, 2638, 295, 5394, 15844, 363, 45, 4032, 47283, 3215, 8315, 21542, 3215, 28239, 11536, 1829, 6055, 3555, 3615, 11296, 7251, 1211, 7435, 10721, 426, 15844, 363, 45, 5551, 9778, 3215, 2655, 2423, 4948, 5296, 15042, 2423, 426, 47525, 10721, 6055, 32887, 5016, 32767, 6027, 3660, 8717, 11296, 10632, 23032, 1211, 3615, 28239, 9307, 7435, 12174, 32640, 3660, 6225, 3215, 3215, 10632, 37037, 24192, 25062, 32640, 3660, 5551, 4117, 26890, 9154, 2331], "avg_logprob": -0.24826388300201038, "compression_ratio": 1.4891304347826086, "no_speech_prob": 0.0, "words": [{"start": 1906.77, "end": 1907.19, "word": "بقول", "probability": 0.4581298828125}, {"start": 1907.19, "end": 1907.71, "word": " كويس", "probability": 0.83935546875}, {"start": 1907.71, "end": 1908.99, "word": " خلقنا", "probability": 0.8939208984375}, {"start": 1908.99, "end": 1909.47, "word": " series", "probability": 0.66064453125}, {"start": 1909.47, "end": 1909.85, "word": " of", "probability": 0.8544921875}, {"start": 1909.85, "end": 1910.19, "word": " motion", "probability": 0.69580078125}, {"start": 1910.19, "end": 1910.45, "word": " على", "probability": 0.81396484375}, {"start": 1910.45, "end": 1910.83, "word": " BN", "probability": 0.4722900390625}, {"start": 1910.83, "end": 1911.45, "word": " واخدنا", "probability": 0.84808349609375}, {"start": 1911.45, "end": 1911.93, "word": " الحد", "probability": 0.967529296875}, {"start": 1911.93, "end": 1912.37, "word": " النوني", "probability": 0.8782552083333334}, {"start": 1912.37, "end": 1912.99, "word": " تبعها", "probability": 0.8792724609375}, {"start": 1912.99, "end": 1913.73, "word": " يلجأ", "probability": 0.73309326171875}, {"start": 1913.73, "end": 1914.23, "word": " N", "probability": 0.1925048828125}, {"start": 1914.23, "end": 1914.51, "word": " على", "probability": 0.78369140625}, {"start": 1914.51, "end": 1915.15, "word": " BN", "probability": 0.90771484375}, {"start": 1915.15, "end": 1915.75, "word": " أخدت", "probability": 0.879638671875}, {"start": 1915.75, "end": 1915.85, "word": " ال", "probability": 0.67919921875}, {"start": 1915.85, "end": 1916.11, "word": " limit", "probability": 0.89599609375}, {"start": 1916.11, "end": 1916.45, "word": " لما", "probability": 0.9033203125}, {"start": 1916.45, "end": 1916.57, "word": " ال", "probability": 0.83203125}, {"start": 1916.57, "end": 1916.77, "word": " N", "probability": 0.87939453125}, {"start": 1916.77, "end": 1917.07, "word": " بدأ", "probability": 0.47314453125}, {"start": 1917.07, "end": 1917.35, "word": " تروح", "probability": 0.8502604166666666}, {"start": 1917.35, "end": 1917.87, "word": " لمالة", "probability": 0.5304361979166666}, {"start": 1917.87, "end": 1918.25, "word": " نهاية", "probability": 0.86328125}, {"start": 1918.25, "end": 1918.63, "word": " طلع", "probability": 0.9441731770833334}, {"start": 1918.63, "end": 1919.33, "word": " الناتج", "probability": 0.8916015625}, {"start": 1919.33, "end": 1920.17, "word": " قيمة", "probability": 0.9830729166666666}, {"start": 1920.17, "end": 1920.81, "word": " عددية", "probability": 0.9644775390625}, {"start": 1920.81, "end": 1921.47, "word": " وهذه", "probability": 0.800537109375}, {"start": 1921.47, "end": 1922.09, "word": " القيمة", "probability": 0.9677734375}, {"start": 1922.09, "end": 1922.57, "word": " أكبر", "probability": 0.9376627604166666}, {"start": 1922.57, "end": 1922.75, "word": " من", "probability": 0.9814453125}, {"start": 1922.75, "end": 1923.09, "word": " 200", "probability": 0.50048828125}], "temperature": 1.0}, {"id": 84, "seek": 195068, "start": 1923.88, "end": 1950.68, "text": "لا يمكن تجي أقل من ال zero لإيش؟ لأن ال two are positive من ورم الدجين السالب يبقى دائما و أبدا هتكون مالها أكبر من ال zero إذا حدث ذلك طبعا في أي رقم و ليس رقم محدد إذا حدث ذلك سيكون ال series تبعت البصر و ال series تبعت المقام اتنين حبايب هدي converge هدي converge هدي diverge هدي diverge", "tokens": [15040, 7251, 43020, 6055, 7435, 1829, 5551, 4587, 1211, 9154, 2423, 4018, 5296, 28814, 1829, 8592, 22807, 5296, 33456, 2423, 732, 366, 3353, 9154, 4032, 2288, 2304, 32748, 7435, 9957, 21136, 6027, 3555, 7251, 3555, 4587, 7578, 11778, 16373, 15042, 4032, 5551, 3555, 28259, 8032, 2655, 30544, 3714, 6027, 11296, 5551, 4117, 26890, 9154, 2423, 4018, 11933, 15730, 11331, 3215, 12984, 29910, 23275, 23032, 3555, 3615, 995, 8978, 36632, 12602, 4587, 2304, 4032, 32239, 3794, 12602, 4587, 2304, 3714, 24401, 3215, 11933, 15730, 11331, 3215, 12984, 29910, 23275, 8608, 1829, 30544, 2423, 2638, 6055, 3555, 34268, 29739, 9381, 2288, 4032, 2423, 2638, 6055, 3555, 34268, 9673, 4587, 10943, 1975, 2655, 1863, 9957, 11331, 3555, 47302, 3555, 8032, 16254, 41881, 8032, 16254, 41881, 8032, 16254, 18558, 432, 8032, 16254, 18558, 432], "avg_logprob": -0.3136927617415217, "compression_ratio": 1.9079497907949792, "no_speech_prob": 0.0, "words": [{"start": 1923.88, "end": 1924.22, "word": "لا", "probability": 0.68603515625}, {"start": 1924.22, "end": 1924.62, "word": " يمكن", "probability": 0.91064453125}, {"start": 1924.62, "end": 1924.96, "word": " تجي", "probability": 0.5745442708333334}, {"start": 1924.96, "end": 1925.42, "word": " أقل", "probability": 0.8819986979166666}, {"start": 1925.42, "end": 1925.64, "word": " من", "probability": 0.98828125}, {"start": 1925.64, "end": 1925.84, "word": " ال", "probability": 0.83740234375}, {"start": 1925.84, "end": 1926.1, "word": " zero", "probability": 0.2393798828125}, {"start": 1926.1, "end": 1926.74, "word": " لإيش؟", "probability": 0.60302734375}, {"start": 1926.74, "end": 1926.94, "word": " لأن", "probability": 0.775390625}, {"start": 1926.94, "end": 1927.04, "word": " ال", "probability": 0.6328125}, {"start": 1927.04, "end": 1927.24, "word": " two", "probability": 0.075439453125}, {"start": 1927.24, "end": 1927.82, "word": " are", "probability": 0.53125}, {"start": 1927.82, "end": 1928.64, "word": " positive", "probability": 0.92431640625}, {"start": 1928.64, "end": 1928.86, "word": " من", "probability": 0.30615234375}, {"start": 1928.86, "end": 1929.1, "word": " ورم", "probability": 0.49560546875}, {"start": 1929.1, "end": 1929.54, "word": " الدجين", "probability": 0.7810872395833334}, {"start": 1929.54, "end": 1930.1, "word": " السالب", "probability": 0.8841145833333334}, {"start": 1930.1, "end": 1930.84, "word": " يبقى", "probability": 0.93310546875}, {"start": 1930.84, "end": 1931.28, "word": " دائما", "probability": 0.9514973958333334}, {"start": 1931.28, "end": 1931.46, "word": " و", "probability": 0.54296875}, {"start": 1931.46, "end": 1931.98, "word": " أبدا", "probability": 0.8427734375}, {"start": 1931.98, "end": 1932.82, "word": " هتكون", "probability": 0.7801106770833334}, {"start": 1932.82, "end": 1933.28, "word": " مالها", "probability": 0.9430338541666666}, {"start": 1933.28, "end": 1934.3, "word": " أكبر", "probability": 0.9132486979166666}, {"start": 1934.3, "end": 1934.68, "word": " من", "probability": 0.990234375}, {"start": 1934.68, "end": 1935.06, "word": " ال", "probability": 0.84814453125}, {"start": 1935.06, "end": 1935.28, "word": " zero", "probability": 0.87841796875}, {"start": 1935.28, "end": 1935.94, "word": " إذا", "probability": 0.52557373046875}, {"start": 1935.94, "end": 1936.5, "word": " حدث", "probability": 0.9803059895833334}, {"start": 1936.5, "end": 1937.36, "word": " ذلك", "probability": 0.97998046875}, {"start": 1937.36, "end": 1938.2, "word": " طبعا", "probability": 0.82354736328125}, {"start": 1938.2, "end": 1938.48, "word": " في", "probability": 0.2342529296875}, {"start": 1938.48, "end": 1938.88, "word": " أي", "probability": 0.81787109375}, {"start": 1938.88, "end": 1939.38, "word": " رقم", "probability": 0.99560546875}, {"start": 1939.38, "end": 1939.5, "word": " و", "probability": 0.266845703125}, {"start": 1939.5, "end": 1939.74, "word": " ليس", "probability": 0.754150390625}, {"start": 1939.74, "end": 1940.14, "word": " رقم", "probability": 0.9716796875}, {"start": 1940.14, "end": 1940.76, "word": " محدد", "probability": 0.9918619791666666}, {"start": 1940.76, "end": 1941.34, "word": " إذا", "probability": 0.85546875}, {"start": 1941.34, "end": 1941.76, "word": " حدث", "probability": 0.99462890625}, {"start": 1941.76, "end": 1942.3, "word": " ذلك", "probability": 0.97119140625}, {"start": 1942.3, "end": 1942.76, "word": " سيكون", "probability": 0.594970703125}, {"start": 1942.76, "end": 1942.94, "word": " ال", "probability": 0.73974609375}, {"start": 1942.94, "end": 1943.18, "word": " series", "probability": 0.52783203125}, {"start": 1943.18, "end": 1943.64, "word": " تبعت", "probability": 0.5615234375}, {"start": 1943.64, "end": 1944.14, "word": " البصر", "probability": 0.6072591145833334}, {"start": 1944.14, "end": 1944.24, "word": " و", "probability": 0.57666015625}, {"start": 1944.24, "end": 1944.34, "word": " ال", "probability": 0.294921875}, {"start": 1944.34, "end": 1944.56, "word": " series", "probability": 0.8681640625}, {"start": 1944.56, "end": 1944.88, "word": " تبعت", "probability": 0.9376627604166666}, {"start": 1944.88, "end": 1945.52, "word": " المقام", "probability": 0.9894205729166666}, {"start": 1945.52, "end": 1946.54, "word": " اتنين", "probability": 0.880615234375}, {"start": 1946.54, "end": 1947.18, "word": " حبايب", "probability": 0.7437744140625}, {"start": 1947.18, "end": 1947.54, "word": " هدي", "probability": 0.42242431640625}, {"start": 1947.54, "end": 1948.12, "word": " converge", "probability": 0.7861328125}, {"start": 1948.12, "end": 1948.38, "word": " هدي", "probability": 0.818115234375}, {"start": 1948.38, "end": 1948.94, "word": " converge", "probability": 0.89599609375}, {"start": 1948.94, "end": 1949.24, "word": " هدي", "probability": 0.935302734375}, {"start": 1949.24, "end": 1949.88, "word": " diverge", "probability": 0.89306640625}, {"start": 1949.88, "end": 1950.08, "word": " هدي", "probability": 0.966552734375}, {"start": 1950.08, "end": 1950.68, "word": " diverge", "probability": 0.8662109375}], "temperature": 1.0}, {"id": 85, "seek": 196727, "start": 1960.35, "end": 1967.27, "text": "تبع المقام Convergent وتبع المصدر Convergent تبع المقام Convergent وتبع المصدر Convergent", "tokens": [2655, 3555, 3615, 9673, 4587, 10943, 2656, 331, 6930, 4032, 2655, 3555, 3615, 9673, 9381, 3215, 2288, 2656, 331, 6930, 6055, 3555, 3615, 9673, 4587, 10943, 2656, 331, 6930, 4032, 2655, 3555, 3615, 9673, 9381, 3215, 2288, 2656, 331, 6930], "avg_logprob": -0.4504573054429961, "compression_ratio": 2.267857142857143, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1960.35, "end": 1961.33, "word": "تبع", "probability": 0.3957112630208333}, {"start": 1961.33, "end": 1961.87, "word": " المقام", "probability": 0.808837890625}, {"start": 1961.87, "end": 1962.43, "word": " Convergent", "probability": 0.2746785481770833}, {"start": 1962.43, "end": 1962.89, "word": " وتبع", "probability": 0.701904296875}, {"start": 1962.89, "end": 1963.31, "word": " المصدر", "probability": 0.776123046875}, {"start": 1963.31, "end": 1963.81, "word": " Convergent", "probability": 0.8277994791666666}, {"start": 1963.81, "end": 1964.15, "word": " تبع", "probability": 0.6344807942708334}, {"start": 1964.15, "end": 1964.57, "word": " المقام", "probability": 0.9864908854166666}, {"start": 1964.57, "end": 1965.05, "word": " Convergent", "probability": 0.8463541666666666}, {"start": 1965.05, "end": 1965.41, "word": " وتبع", "probability": 0.872802734375}, {"start": 1965.41, "end": 1965.93, "word": " المصدر", "probability": 0.98974609375}, {"start": 1965.93, "end": 1967.27, "word": " Convergent", "probability": 0.859375}], "temperature": 1.0}, {"id": 86, "seek": 198516, "start": 1968.96, "end": 1985.16, "text": "لو أخدت limit الان على ال b انه طلع يساوي zero وطلعت في تبعة المقام وجدت convert إذا النتج يساوي zero تبعة المقام convert إذا تبعة ال bus convert على قول الخط", "tokens": [1211, 2407, 5551, 9778, 3215, 2655, 4948, 2423, 7649, 15844, 2423, 272, 16472, 3224, 23032, 1211, 3615, 7251, 3794, 995, 45865, 4018, 4032, 9566, 1211, 34268, 8978, 6055, 3555, 3615, 3660, 9673, 4587, 10943, 49610, 3215, 2655, 7620, 11933, 15730, 28239, 2655, 7435, 7251, 3794, 995, 45865, 4018, 6055, 3555, 3615, 3660, 9673, 4587, 10943, 7620, 11933, 15730, 6055, 3555, 3615, 3660, 2423, 1255, 7620, 15844, 12174, 12610, 33962, 9566], "avg_logprob": -0.316901404253194, "compression_ratio": 1.6917808219178083, "no_speech_prob": 0.0, "words": [{"start": 1968.96, "end": 1969.36, "word": "لو", "probability": 0.767333984375}, {"start": 1969.36, "end": 1969.7, "word": " أخدت", "probability": 0.67279052734375}, {"start": 1969.7, "end": 1970.0, "word": " limit", "probability": 0.748046875}, {"start": 1970.0, "end": 1970.62, "word": " الان", "probability": 0.415771484375}, {"start": 1970.62, "end": 1971.06, "word": " على", "probability": 0.587890625}, {"start": 1971.06, "end": 1971.24, "word": " ال", "probability": 0.87841796875}, {"start": 1971.24, "end": 1971.44, "word": " b", "probability": 0.059417724609375}, {"start": 1971.44, "end": 1971.9, "word": " انه", "probability": 0.752197265625}, {"start": 1971.9, "end": 1972.32, "word": " طلع", "probability": 0.7316080729166666}, {"start": 1972.32, "end": 1973.24, "word": " يساوي", "probability": 0.9539794921875}, {"start": 1973.24, "end": 1973.78, "word": " zero", "probability": 0.237548828125}, {"start": 1973.78, "end": 1975.1, "word": " وطلعت", "probability": 0.7978515625}, {"start": 1975.1, "end": 1975.28, "word": " في", "probability": 0.73046875}, {"start": 1975.28, "end": 1975.76, "word": " تبعة", "probability": 0.70440673828125}, {"start": 1975.76, "end": 1976.46, "word": " المقام", "probability": 0.9900716145833334}, {"start": 1976.46, "end": 1977.16, "word": " وجدت", "probability": 0.77783203125}, {"start": 1977.16, "end": 1977.9, "word": " convert", "probability": 0.7001953125}, {"start": 1977.9, "end": 1978.46, "word": " إذا", "probability": 0.85009765625}, {"start": 1978.46, "end": 1978.96, "word": " النتج", "probability": 0.779296875}, {"start": 1978.96, "end": 1979.56, "word": " يساوي", "probability": 0.9801025390625}, {"start": 1979.56, "end": 1979.96, "word": " zero", "probability": 0.73193359375}, {"start": 1979.96, "end": 1980.46, "word": " تبعة", "probability": 0.7369384765625}, {"start": 1980.46, "end": 1980.94, "word": " المقام", "probability": 0.9913736979166666}, {"start": 1980.94, "end": 1981.5, "word": " convert", "probability": 0.6259765625}, {"start": 1981.5, "end": 1981.8, "word": " إذا", "probability": 0.893798828125}, {"start": 1981.8, "end": 1982.22, "word": " تبعة", "probability": 0.8583984375}, {"start": 1982.22, "end": 1982.32, "word": " ال", "probability": 0.51611328125}, {"start": 1982.32, "end": 1982.66, "word": " bus", "probability": 0.75341796875}, {"start": 1982.66, "end": 1983.84, "word": " convert", "probability": 0.7275390625}, {"start": 1983.84, "end": 1984.2, "word": " على", "probability": 0.90625}, {"start": 1984.2, "end": 1984.7, "word": " قول", "probability": 0.6365966796875}, {"start": 1984.7, "end": 1985.16, "word": " الخط", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 87, "seek": 200991, "start": 1985.73, "end": 2009.91, "text": "النقطة التالتة اللي أخدت ال limit و لجيتها infinity و روحت ل series تبع المقام لجيتها by var يرجع تبع البصمة لها by var السؤال اللي بدور الآن في دماغ البعض منكم طيب لو روحنا أخدنا ال limit هذا و طلعت يساوي zero و روحنا على ال summation علبي انه لجيتها by var", "tokens": [6027, 1863, 47432, 3660, 16712, 6027, 2655, 3660, 13672, 1829, 5551, 9778, 3215, 2655, 2423, 4948, 4032, 5296, 7435, 36081, 11296, 13202, 4032, 12602, 2407, 33753, 5296, 2638, 6055, 3555, 3615, 9673, 4587, 10943, 5296, 7435, 36081, 11296, 538, 1374, 7251, 47341, 3615, 6055, 3555, 3615, 29739, 9381, 46007, 5296, 11296, 538, 1374, 21136, 33604, 6027, 13672, 1829, 47525, 13063, 6024, 48506, 8978, 11778, 2304, 5718, 118, 29739, 3615, 11242, 9154, 24793, 23032, 1829, 3555, 45164, 12602, 2407, 5016, 8315, 5551, 9778, 3215, 8315, 2423, 4948, 23758, 4032, 23032, 1211, 34268, 7251, 3794, 995, 45865, 4018, 4032, 12602, 2407, 5016, 8315, 15844, 2423, 28811, 11203, 21292, 16472, 3224, 5296, 7435, 36081, 11296, 538, 1374], "avg_logprob": -0.1995923980422642, "compression_ratio": 1.7758620689655173, "no_speech_prob": 0.0, "words": [{"start": 1985.73, "end": 1986.41, "word": "النقطة", "probability": 0.851806640625}, {"start": 1986.41, "end": 1986.95, "word": " التالتة", "probability": 0.9588623046875}, {"start": 1986.95, "end": 1987.09, "word": " اللي", "probability": 0.44549560546875}, {"start": 1987.09, "end": 1987.59, "word": " أخدت", "probability": 0.9307861328125}, {"start": 1987.59, "end": 1987.71, "word": " ال", "probability": 0.55615234375}, {"start": 1987.71, "end": 1987.89, "word": " limit", "probability": 0.81884765625}, {"start": 1987.89, "end": 1988.09, "word": " و", "probability": 0.74267578125}, {"start": 1988.09, "end": 1988.59, "word": " لجيتها", "probability": 0.68646240234375}, {"start": 1988.59, "end": 1989.15, "word": " infinity", "probability": 0.822265625}, {"start": 1989.15, "end": 1989.43, "word": " و", "probability": 0.91650390625}, {"start": 1989.43, "end": 1989.79, "word": " روحت", "probability": 0.6832682291666666}, {"start": 1989.79, "end": 1990.33, "word": " ل", "probability": 0.55224609375}, {"start": 1990.33, "end": 1990.81, "word": " series", "probability": 0.88427734375}, {"start": 1990.81, "end": 1991.25, "word": " تبع", "probability": 0.8058268229166666}, {"start": 1991.25, "end": 1991.97, "word": " المقام", "probability": 0.87060546875}, {"start": 1991.97, "end": 1992.65, "word": " لجيتها", "probability": 0.93603515625}, {"start": 1992.65, "end": 1992.99, "word": " by", "probability": 0.403564453125}, {"start": 1992.99, "end": 1993.57, "word": " var", "probability": 0.314453125}, {"start": 1993.57, "end": 1994.55, "word": " يرجع", "probability": 0.7320963541666666}, {"start": 1994.55, "end": 1994.87, "word": " تبع", "probability": 0.927734375}, {"start": 1994.87, "end": 1995.59, "word": " البصمة", "probability": 0.6920572916666666}, {"start": 1995.59, "end": 1996.05, "word": " لها", "probability": 0.9375}, {"start": 1996.05, "end": 1996.69, "word": " by", "probability": 0.5888671875}, {"start": 1996.69, "end": 1997.01, "word": " var", "probability": 0.450927734375}, {"start": 1997.01, "end": 1997.65, "word": " السؤال", "probability": 0.9825846354166666}, {"start": 1997.65, "end": 1997.81, "word": " اللي", "probability": 0.9345703125}, {"start": 1997.81, "end": 1998.19, "word": " بدور", "probability": 0.808349609375}, {"start": 1998.19, "end": 1998.57, "word": " الآن", "probability": 0.773193359375}, {"start": 1998.57, "end": 1998.75, "word": " في", "probability": 0.8916015625}, {"start": 1998.75, "end": 1999.13, "word": " دماغ", "probability": 0.979736328125}, {"start": 1999.13, "end": 1999.65, "word": " البعض", "probability": 0.9588216145833334}, {"start": 1999.65, "end": 2000.15, "word": " منكم", "probability": 0.979248046875}, {"start": 2000.15, "end": 2001.17, "word": " طيب", "probability": 0.953125}, {"start": 2001.17, "end": 2001.43, "word": " لو", "probability": 0.96826171875}, {"start": 2001.43, "end": 2001.95, "word": " روحنا", "probability": 0.9515380859375}, {"start": 2001.95, "end": 2002.55, "word": " أخدنا", "probability": 0.886962890625}, {"start": 2002.55, "end": 2002.71, "word": " ال", "probability": 0.88671875}, {"start": 2002.71, "end": 2003.09, "word": " limit", "probability": 0.95849609375}, {"start": 2003.09, "end": 2003.51, "word": " هذا", "probability": 0.90087890625}, {"start": 2003.51, "end": 2003.71, "word": " و", "probability": 0.98486328125}, {"start": 2003.71, "end": 2004.15, "word": " طلعت", "probability": 0.8131510416666666}, {"start": 2004.15, "end": 2004.81, "word": " يساوي", "probability": 0.962890625}, {"start": 2004.81, "end": 2005.39, "word": " zero", "probability": 0.62255859375}, {"start": 2005.39, "end": 2005.97, "word": " و", "probability": 0.95263671875}, {"start": 2005.97, "end": 2006.37, "word": " روحنا", "probability": 0.9417724609375}, {"start": 2006.37, "end": 2006.61, "word": " على", "probability": 0.919921875}, {"start": 2006.61, "end": 2006.77, "word": " ال", "probability": 0.64453125}, {"start": 2006.77, "end": 2007.27, "word": " summation", "probability": 0.9716796875}, {"start": 2007.27, "end": 2007.95, "word": " علبي", "probability": 0.712158203125}, {"start": 2007.95, "end": 2008.47, "word": " انه", "probability": 0.7254638671875}, {"start": 2008.47, "end": 2009.11, "word": " لجيتها", "probability": 0.9403076171875}, {"start": 2009.11, "end": 2009.39, "word": " by", "probability": 0.9814453125}, {"start": 2009.39, "end": 2009.91, "word": " var", "probability": 0.78369140625}], "temperature": 1.0}, {"id": 88, "seek": 203038, "start": 2010.32, "end": 2030.38, "text": "بفشل الاختبار يعني الاختبار هذا لا نستطيع بيه الحكم على ال series هل هي converge او diverge و بروح ندورنا على اي اختبار من الاختبار ذات السابق اللتي سبقت دراستها ما ينطبق هنا ينطبق هنا يعني لجهة ال limit هذه infinity لكن هذه converge", "tokens": [3555, 5172, 8592, 1211, 2423, 47283, 2655, 3555, 9640, 37495, 22653, 2423, 47283, 2655, 3555, 9640, 23758, 20193, 8717, 14851, 9566, 40228, 4724, 1829, 3224, 21542, 24793, 15844, 2423, 2638, 8032, 1211, 39896, 41881, 1975, 2407, 18558, 432, 4032, 4724, 32887, 5016, 8717, 3215, 13063, 8315, 15844, 1975, 1829, 1975, 46456, 3555, 9640, 9154, 2423, 47283, 2655, 3555, 9640, 29910, 9307, 21136, 16758, 4587, 13672, 31371, 8608, 3555, 38149, 11778, 23557, 14851, 11296, 19446, 7251, 1863, 9566, 3555, 4587, 34105, 7251, 1863, 9566, 3555, 4587, 34105, 37495, 22653, 5296, 7435, 3224, 3660, 2423, 4948, 29538, 13202, 44381, 29538, 41881], "avg_logprob": -0.2073437489569187, "compression_ratio": 1.8495145631067962, "no_speech_prob": 0.0, "words": [{"start": 2010.32, "end": 2011.02, "word": "بفشل", "probability": 0.7628173828125}, {"start": 2011.02, "end": 2012.04, "word": " الاختبار", "probability": 0.89638671875}, {"start": 2012.04, "end": 2012.74, "word": " يعني", "probability": 0.713623046875}, {"start": 2012.74, "end": 2013.38, "word": " الاختبار", "probability": 0.93583984375}, {"start": 2013.38, "end": 2013.7, "word": " هذا", "probability": 0.89306640625}, {"start": 2013.7, "end": 2013.94, "word": " لا", "probability": 0.693359375}, {"start": 2013.94, "end": 2014.62, "word": " نستطيع", "probability": 0.91552734375}, {"start": 2014.62, "end": 2014.86, "word": " بيه", "probability": 0.712646484375}, {"start": 2014.86, "end": 2015.28, "word": " الحكم", "probability": 0.95849609375}, {"start": 2015.28, "end": 2015.52, "word": " على", "probability": 0.857421875}, {"start": 2015.52, "end": 2015.68, "word": " ال", "probability": 0.912109375}, {"start": 2015.68, "end": 2015.98, "word": " series", "probability": 0.849609375}, {"start": 2015.98, "end": 2016.22, "word": " هل", "probability": 0.55419921875}, {"start": 2016.22, "end": 2016.36, "word": " هي", "probability": 0.81298828125}, {"start": 2016.36, "end": 2016.7, "word": " converge", "probability": 0.6826171875}, {"start": 2016.7, "end": 2017.12, "word": " او", "probability": 0.869140625}, {"start": 2017.12, "end": 2017.76, "word": " diverge", "probability": 0.815185546875}, {"start": 2017.76, "end": 2018.16, "word": " و", "probability": 0.6875}, {"start": 2018.16, "end": 2018.54, "word": " بروح", "probability": 0.82421875}, {"start": 2018.54, "end": 2019.14, "word": " ندورنا", "probability": 0.8642578125}, {"start": 2019.14, "end": 2019.38, "word": " على", "probability": 0.75634765625}, {"start": 2019.38, "end": 2019.8, "word": " اي", "probability": 0.798583984375}, {"start": 2019.8, "end": 2020.8, "word": " اختبار", "probability": 0.9892578125}, {"start": 2020.8, "end": 2021.38, "word": " من", "probability": 0.97900390625}, {"start": 2021.38, "end": 2022.04, "word": " الاختبار", "probability": 0.91748046875}, {"start": 2022.04, "end": 2022.38, "word": " ذات", "probability": 0.7017822265625}, {"start": 2022.38, "end": 2022.94, "word": " السابق", "probability": 0.8187662760416666}, {"start": 2022.94, "end": 2023.28, "word": " اللتي", "probability": 0.4620361328125}, {"start": 2023.28, "end": 2023.8, "word": " سبقت", "probability": 0.8181966145833334}, {"start": 2023.8, "end": 2024.58, "word": " دراستها", "probability": 0.779296875}, {"start": 2024.58, "end": 2025.24, "word": " ما", "probability": 0.8837890625}, {"start": 2025.24, "end": 2025.96, "word": " ينطبق", "probability": 0.94287109375}, {"start": 2025.96, "end": 2026.22, "word": " هنا", "probability": 0.99560546875}, {"start": 2026.22, "end": 2026.88, "word": " ينطبق", "probability": 0.98525390625}, {"start": 2026.88, "end": 2027.16, "word": " هنا", "probability": 0.998046875}, {"start": 2027.16, "end": 2027.6, "word": " يعني", "probability": 0.8984375}, {"start": 2027.6, "end": 2027.96, "word": " لجهة", "probability": 0.69793701171875}, {"start": 2027.96, "end": 2028.1, "word": " ال", "probability": 0.9521484375}, {"start": 2028.1, "end": 2028.38, "word": " limit", "probability": 0.95361328125}, {"start": 2028.38, "end": 2028.62, "word": " هذه", "probability": 0.66162109375}, {"start": 2028.62, "end": 2029.1, "word": " infinity", "probability": 0.89208984375}, {"start": 2029.1, "end": 2029.54, "word": " لكن", "probability": 0.83154296875}, {"start": 2029.54, "end": 2029.92, "word": " هذه", "probability": 0.69189453125}, {"start": 2029.92, "end": 2030.38, "word": " converge", "probability": 0.7421875}], "temperature": 1.0}, {"id": 89, "seek": 204991, "start": 2031.17, "end": 2049.91, "text": "مش by verge يبقى تبع تلبس الله أعلم قد تكون converge و قد تكون by verge احنا بنعرفه يبقى بيفشل الاختبار في هذه الحالة حد يلو أي تسوان هنا قبل أن ندخل على الأمثلة فضل اه", "tokens": [2304, 8592, 538, 37164, 7251, 3555, 4587, 7578, 6055, 3555, 3615, 6055, 46152, 3794, 21984, 5551, 3615, 19528, 12174, 3215, 6055, 30544, 41881, 4032, 12174, 3215, 6055, 30544, 538, 37164, 1975, 5016, 8315, 44945, 3615, 28480, 3224, 7251, 3555, 4587, 7578, 4724, 33911, 8592, 1211, 2423, 47283, 2655, 3555, 9640, 8978, 29538, 21542, 6027, 3660, 11331, 3215, 7251, 1211, 2407, 36632, 6055, 3794, 2407, 7649, 34105, 12174, 36150, 14739, 8717, 3215, 9778, 1211, 15844, 16247, 2304, 12984, 37977, 6156, 11242, 1211, 1975, 3224], "avg_logprob": -0.25260417589119505, "compression_ratio": 1.576271186440678, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2031.17, "end": 2031.49, "word": "مش", "probability": 0.5272216796875}, {"start": 2031.49, "end": 2031.73, "word": " by", "probability": 0.3427734375}, {"start": 2031.73, "end": 2032.03, "word": " verge", "probability": 0.1514892578125}, {"start": 2032.03, "end": 2032.67, "word": " يبقى", "probability": 0.8060302734375}, {"start": 2032.67, "end": 2032.97, "word": " تبع", "probability": 0.7439778645833334}, {"start": 2032.97, "end": 2033.47, "word": " تلبس", "probability": 0.7089029947916666}, {"start": 2033.47, "end": 2033.83, "word": " الله", "probability": 0.8974609375}, {"start": 2033.83, "end": 2034.29, "word": " أعلم", "probability": 0.9064127604166666}, {"start": 2034.29, "end": 2034.63, "word": " قد", "probability": 0.960693359375}, {"start": 2034.63, "end": 2034.95, "word": " تكون", "probability": 0.991943359375}, {"start": 2034.95, "end": 2035.45, "word": " converge", "probability": 0.53271484375}, {"start": 2035.45, "end": 2035.65, "word": " و", "probability": 0.98095703125}, {"start": 2035.65, "end": 2035.89, "word": " قد", "probability": 0.7017822265625}, {"start": 2035.89, "end": 2036.45, "word": " تكون", "probability": 0.995361328125}, {"start": 2036.45, "end": 2037.21, "word": " by", "probability": 0.8759765625}, {"start": 2037.21, "end": 2037.67, "word": " verge", "probability": 0.9248046875}, {"start": 2037.67, "end": 2038.01, "word": " احنا", "probability": 0.9215494791666666}, {"start": 2038.01, "end": 2038.65, "word": " بنعرفه", "probability": 0.919677734375}, {"start": 2038.65, "end": 2039.11, "word": " يبقى", "probability": 0.9163818359375}, {"start": 2039.11, "end": 2039.55, "word": " بيفشل", "probability": 0.9091796875}, {"start": 2039.55, "end": 2040.13, "word": " الاختبار", "probability": 0.9046875}, {"start": 2040.13, "end": 2040.35, "word": " في", "probability": 0.95068359375}, {"start": 2040.35, "end": 2040.85, "word": " هذه", "probability": 0.986328125}, {"start": 2040.85, "end": 2041.77, "word": " الحالة", "probability": 0.9920247395833334}, {"start": 2041.77, "end": 2042.45, "word": " حد", "probability": 0.782958984375}, {"start": 2042.45, "end": 2042.73, "word": " يلو", "probability": 0.5680338541666666}, {"start": 2042.73, "end": 2042.91, "word": " أي", "probability": 0.68408203125}, {"start": 2042.91, "end": 2043.39, "word": " تسوان", "probability": 0.67333984375}, {"start": 2043.39, "end": 2043.63, "word": " هنا", "probability": 0.93798828125}, {"start": 2043.63, "end": 2043.99, "word": " قبل", "probability": 0.9951171875}, {"start": 2043.99, "end": 2044.13, "word": " أن", "probability": 0.61865234375}, {"start": 2044.13, "end": 2044.53, "word": " ندخل", "probability": 0.9921875}, {"start": 2044.53, "end": 2044.71, "word": " على", "probability": 0.94091796875}, {"start": 2044.71, "end": 2045.51, "word": " الأمثلة", "probability": 0.9658203125}, {"start": 2045.51, "end": 2047.15, "word": " فضل", "probability": 0.6874186197916666}, {"start": 2047.15, "end": 2049.91, "word": " اه", "probability": 0.685302734375}], "temperature": 1.0}, {"id": 90, "seek": 206771, "start": 2051.8, "end": 2067.72, "text": "يعني عدد الاختبارات قصت لا هي راجل .. لا ما هو انت لما تحل مثال بصير بمجرد النظر تعرف مين الاختبار اللي بدك تستخدمه", "tokens": [40228, 22653, 6225, 3215, 3215, 2423, 47283, 2655, 3555, 9640, 9307, 12174, 9381, 2655, 20193, 39896, 12602, 26108, 1211, 4386, 20193, 19446, 31439, 16472, 2655, 5296, 15042, 6055, 5016, 1211, 50113, 6027, 4724, 9381, 13546, 4724, 2304, 7435, 2288, 3215, 28239, 19913, 2288, 6055, 3615, 28480, 3714, 9957, 2423, 47283, 2655, 3555, 9640, 13672, 1829, 47525, 4117, 6055, 14851, 9778, 40448, 3224], "avg_logprob": -0.2209821447493538, "compression_ratio": 1.6141732283464567, "no_speech_prob": 0.0, "words": [{"start": 2051.8, "end": 2052.26, "word": "يعني", "probability": 0.944091796875}, {"start": 2052.26, "end": 2052.76, "word": " عدد", "probability": 0.9775390625}, {"start": 2052.76, "end": 2053.54, "word": " الاختبارات", "probability": 0.9247233072916666}, {"start": 2053.54, "end": 2054.3, "word": " قصت", "probability": 0.7360026041666666}, {"start": 2054.3, "end": 2054.62, "word": " لا", "probability": 0.400634765625}, {"start": 2054.62, "end": 2054.84, "word": " هي", "probability": 0.87060546875}, {"start": 2054.84, "end": 2055.36, "word": " راجل", "probability": 0.7174479166666666}, {"start": 2055.36, "end": 2056.76, "word": " ..", "probability": 0.615234375}, {"start": 2056.76, "end": 2059.2, "word": " لا", "probability": 0.176025390625}, {"start": 2059.2, "end": 2059.74, "word": " ما", "probability": 0.4384765625}, {"start": 2059.74, "end": 2059.92, "word": " هو", "probability": 0.90283203125}, {"start": 2059.92, "end": 2060.34, "word": " انت", "probability": 0.78271484375}, {"start": 2060.34, "end": 2060.74, "word": " لما", "probability": 0.913330078125}, {"start": 2060.74, "end": 2061.52, "word": " تحل", "probability": 0.76513671875}, {"start": 2061.52, "end": 2062.38, "word": " مثال", "probability": 0.82373046875}, {"start": 2062.38, "end": 2063.28, "word": " بصير", "probability": 0.8317057291666666}, {"start": 2063.28, "end": 2064.3, "word": " بمجرد", "probability": 0.85615234375}, {"start": 2064.3, "end": 2064.84, "word": " النظر", "probability": 0.97998046875}, {"start": 2064.84, "end": 2065.26, "word": " تعرف", "probability": 0.7766927083333334}, {"start": 2065.26, "end": 2065.48, "word": " مين", "probability": 0.7249755859375}, {"start": 2065.48, "end": 2066.28, "word": " الاختبار", "probability": 0.95419921875}, {"start": 2066.28, "end": 2066.74, "word": " اللي", "probability": 0.83544921875}, {"start": 2066.74, "end": 2067.02, "word": " بدك", "probability": 0.87646484375}, {"start": 2067.02, "end": 2067.72, "word": " تستخدمه", "probability": 0.98251953125}], "temperature": 1.0}, {"id": 91, "seek": 208812, "start": 2068.18, "end": 2088.12, "text": "لكن إذا بيكتفي بالأمثلة اللي بتاخدها هنا، بيقول يمكن تنجح، يمكن، اه يعني الرياضيات اللي روح تمسك جلمك و تشغل، مااشتغلتش بجلمك، انت لا سابع رياضيات ولا بتعرف رياضيات، انت حافظلك أكم مثال ولا طريقة أكم مثل انقاد يزيهم يتحلوا، خدنا", "tokens": [1211, 19452, 11933, 15730, 4724, 1829, 4117, 2655, 41185, 20666, 10721, 2304, 12984, 37977, 13672, 1829, 39894, 47283, 3215, 11296, 34105, 12399, 4724, 1829, 39648, 7251, 43020, 6055, 1863, 7435, 5016, 12399, 7251, 43020, 12399, 1975, 3224, 37495, 22653, 2423, 16572, 46958, 1829, 9307, 13672, 1829, 12602, 2407, 5016, 46811, 3794, 4117, 10874, 19528, 4117, 4032, 6055, 8592, 17082, 1211, 12399, 19446, 33599, 2655, 17082, 1211, 2655, 8592, 4724, 7435, 19528, 4117, 12399, 16472, 2655, 20193, 8608, 16758, 3615, 12602, 1829, 46958, 1829, 9307, 49429, 39894, 3615, 28480, 12602, 1829, 46958, 1829, 9307, 12399, 16472, 2655, 11331, 31845, 19913, 23275, 5551, 24793, 50113, 6027, 49429, 23032, 16572, 28671, 5551, 24793, 50113, 1211, 16472, 4587, 18513, 7251, 11622, 1829, 16095, 7251, 2655, 5016, 1211, 14407, 12399, 16490, 3215, 8315], "avg_logprob": -0.21039244186046513, "compression_ratio": 1.908256880733945, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2068.18, "end": 2068.7, "word": "لكن", "probability": 0.754638671875}, {"start": 2068.7, "end": 2068.88, "word": " إذا", "probability": 0.751953125}, {"start": 2068.88, "end": 2069.56, "word": " بيكتفي", "probability": 0.68994140625}, {"start": 2069.56, "end": 2070.4, "word": " بالأمثلة", "probability": 0.883984375}, {"start": 2070.4, "end": 2070.56, "word": " اللي", "probability": 0.821533203125}, {"start": 2070.56, "end": 2071.16, "word": " بتاخدها", "probability": 0.9146728515625}, {"start": 2071.16, "end": 2071.5, "word": " هنا،", "probability": 0.700927734375}, {"start": 2071.5, "end": 2071.72, "word": " بيقول", "probability": 0.83349609375}, {"start": 2071.72, "end": 2072.4, "word": " يمكن", "probability": 0.932373046875}, {"start": 2072.4, "end": 2073.06, "word": " تنجح،", "probability": 0.93701171875}, {"start": 2073.06, "end": 2074.24, "word": " يمكن،", "probability": 0.8009440104166666}, {"start": 2074.24, "end": 2074.96, "word": " اه", "probability": 0.7386474609375}, {"start": 2074.96, "end": 2075.64, "word": " يعني", "probability": 0.873046875}, {"start": 2075.64, "end": 2076.48, "word": " الرياضيات", "probability": 0.87705078125}, {"start": 2076.48, "end": 2076.6, "word": " اللي", "probability": 0.931640625}, {"start": 2076.6, "end": 2076.84, "word": " روح", "probability": 0.8956705729166666}, {"start": 2076.84, "end": 2077.4, "word": " تمسك", "probability": 0.9637044270833334}, {"start": 2077.4, "end": 2077.88, "word": " جلمك", "probability": 0.97509765625}, {"start": 2077.88, "end": 2078.0, "word": " و", "probability": 0.654296875}, {"start": 2078.0, "end": 2078.42, "word": " تشغل،", "probability": 0.802392578125}, {"start": 2078.42, "end": 2079.1, "word": " مااشتغلتش", "probability": 0.8516671316964286}, {"start": 2079.1, "end": 2079.96, "word": " بجلمك،", "probability": 0.8712890625}, {"start": 2079.96, "end": 2080.28, "word": " انت", "probability": 0.800048828125}, {"start": 2080.28, "end": 2080.4, "word": " لا", "probability": 0.53955078125}, {"start": 2080.4, "end": 2080.72, "word": " سابع", "probability": 0.8193359375}, {"start": 2080.72, "end": 2081.22, "word": " رياضيات", "probability": 0.98486328125}, {"start": 2081.22, "end": 2081.5, "word": " ولا", "probability": 0.82373046875}, {"start": 2081.5, "end": 2081.96, "word": " بتعرف", "probability": 0.9869791666666666}, {"start": 2081.96, "end": 2082.96, "word": " رياضيات،", "probability": 0.889404296875}, {"start": 2082.96, "end": 2083.24, "word": " انت", "probability": 0.920166015625}, {"start": 2083.24, "end": 2083.88, "word": " حافظلك", "probability": 0.7763671875}, {"start": 2083.88, "end": 2084.18, "word": " أكم", "probability": 0.55615234375}, {"start": 2084.18, "end": 2084.62, "word": " مثال", "probability": 0.879150390625}, {"start": 2084.62, "end": 2084.84, "word": " ولا", "probability": 0.806640625}, {"start": 2084.84, "end": 2085.28, "word": " طريقة", "probability": 0.990234375}, {"start": 2085.28, "end": 2085.72, "word": " أكم", "probability": 0.958984375}, {"start": 2085.72, "end": 2085.98, "word": " مثل", "probability": 0.880615234375}, {"start": 2085.98, "end": 2086.38, "word": " انقاد", "probability": 0.578125}, {"start": 2086.38, "end": 2086.8, "word": " يزيهم", "probability": 0.70709228515625}, {"start": 2086.8, "end": 2087.6, "word": " يتحلوا،", "probability": 0.7516682942708334}, {"start": 2087.6, "end": 2088.12, "word": " خدنا", "probability": 0.982421875}], "temperature": 1.0}, {"id": 92, "seek": 211492, "start": 2088.53, "end": 2114.93, "text": "شدانا المشوية السؤال تبقى راحة العلم وانت صافيت على شجة، اذا لازم تتمرس عن طريق حل المسائل واحنا لما نجيبك سؤال لا نقيدك بأي اختبار، بيقولك test the convergence of the following series وانت حر استخدم الاختبار الذي تراه مناسبا وقد تستغرب ان السؤال يحل ب3 او 4 اختبارات", "tokens": [8592, 3215, 7649, 995, 9673, 8592, 2407, 10632, 21136, 33604, 6027, 6055, 3555, 4587, 7578, 12602, 39319, 3660, 18863, 19528, 4032, 7649, 2655, 20328, 31845, 36081, 15844, 13412, 7435, 3660, 12399, 1975, 15730, 5296, 31377, 2304, 6055, 2655, 29973, 3794, 18871, 23032, 16572, 4587, 11331, 1211, 9673, 3794, 16373, 1211, 4032, 39319, 8315, 5296, 15042, 8717, 7435, 1829, 3555, 4117, 8608, 33604, 6027, 20193, 8717, 4587, 25708, 4117, 4724, 10721, 1829, 1975, 46456, 3555, 9640, 12399, 4724, 1829, 39648, 4117, 1500, 264, 32181, 295, 264, 3480, 2638, 4032, 7649, 2655, 11331, 2288, 44713, 9778, 40448, 2423, 47283, 2655, 3555, 9640, 43527, 6055, 23557, 3224, 3714, 8315, 35457, 995, 4032, 28543, 6055, 14851, 17082, 25513, 16472, 21136, 33604, 6027, 7251, 5016, 1211, 4724, 18, 1975, 2407, 1017, 1975, 46456, 3555, 9640, 9307], "avg_logprob": -0.1930634407608798, "compression_ratio": 1.702290076335878, "no_speech_prob": 0.0, "words": [{"start": 2088.53, "end": 2089.37, "word": "شدانا", "probability": 0.4894866943359375}, {"start": 2089.37, "end": 2089.95, "word": " المشوية", "probability": 0.75213623046875}, {"start": 2089.95, "end": 2090.59, "word": " السؤال", "probability": 0.9685872395833334}, {"start": 2090.59, "end": 2091.29, "word": " تبقى", "probability": 0.8504638671875}, {"start": 2091.29, "end": 2091.69, "word": " راحة", "probability": 0.9674479166666666}, {"start": 2091.69, "end": 2092.07, "word": " العلم", "probability": 0.777587890625}, {"start": 2092.07, "end": 2092.33, "word": " وانت", "probability": 0.7626953125}, {"start": 2092.33, "end": 2092.77, "word": " صافيت", "probability": 0.8081868489583334}, {"start": 2092.77, "end": 2092.95, "word": " على", "probability": 0.8466796875}, {"start": 2092.95, "end": 2093.63, "word": " شجة،", "probability": 0.73748779296875}, {"start": 2093.63, "end": 2093.87, "word": " اذا", "probability": 0.6622314453125}, {"start": 2093.87, "end": 2095.17, "word": " لازم", "probability": 0.966796875}, {"start": 2095.17, "end": 2096.47, "word": " تتمرس", "probability": 0.883544921875}, {"start": 2096.47, "end": 2096.85, "word": " عن", "probability": 0.9443359375}, {"start": 2096.85, "end": 2097.63, "word": " طريق", "probability": 0.9957682291666666}, {"start": 2097.63, "end": 2098.05, "word": " حل", "probability": 0.9775390625}, {"start": 2098.05, "end": 2099.07, "word": " المسائل", "probability": 0.9295654296875}, {"start": 2099.07, "end": 2100.47, "word": " واحنا", "probability": 0.6463216145833334}, {"start": 2100.47, "end": 2100.63, "word": " لما", "probability": 0.951416015625}, {"start": 2100.63, "end": 2101.05, "word": " نجيبك", "probability": 0.8470703125}, {"start": 2101.05, "end": 2101.39, "word": " سؤال", "probability": 0.9842122395833334}, {"start": 2101.39, "end": 2101.65, "word": " لا", "probability": 0.5859375}, {"start": 2101.65, "end": 2102.45, "word": " نقيدك", "probability": 0.8768310546875}, {"start": 2102.45, "end": 2102.81, "word": " بأي", "probability": 0.9309895833333334}, {"start": 2102.81, "end": 2103.33, "word": " اختبار،", "probability": 0.92529296875}, {"start": 2103.33, "end": 2103.89, "word": " بيقولك", "probability": 0.76025390625}, {"start": 2103.89, "end": 2104.19, "word": " test", "probability": 0.81494140625}, {"start": 2104.19, "end": 2104.51, "word": " the", "probability": 0.890625}, {"start": 2104.51, "end": 2104.99, "word": " convergence", "probability": 0.97216796875}, {"start": 2104.99, "end": 2105.31, "word": " of", "probability": 0.9716796875}, {"start": 2105.31, "end": 2105.47, "word": " the", "probability": 0.9189453125}, {"start": 2105.47, "end": 2105.79, "word": " following", "probability": 0.880859375}, {"start": 2105.79, "end": 2106.27, "word": " series", "probability": 0.90185546875}, {"start": 2106.27, "end": 2107.11, "word": " وانت", "probability": 0.9368489583333334}, {"start": 2107.11, "end": 2107.51, "word": " حر", "probability": 0.935791015625}, {"start": 2107.51, "end": 2108.63, "word": " استخدم", "probability": 0.94580078125}, {"start": 2108.63, "end": 2109.49, "word": " الاختبار", "probability": 0.86962890625}, {"start": 2109.49, "end": 2109.97, "word": " الذي", "probability": 0.467041015625}, {"start": 2109.97, "end": 2110.65, "word": " تراه", "probability": 0.97607421875}, {"start": 2110.65, "end": 2111.47, "word": " مناسبا", "probability": 0.9161376953125}, {"start": 2111.47, "end": 2112.15, "word": " وقد", "probability": 0.726806640625}, {"start": 2112.15, "end": 2112.73, "word": " تستغرب", "probability": 0.887939453125}, {"start": 2112.73, "end": 2112.91, "word": " ان", "probability": 0.64404296875}, {"start": 2112.91, "end": 2113.31, "word": " السؤال", "probability": 0.9715169270833334}, {"start": 2113.31, "end": 2113.65, "word": " يحل", "probability": 0.97314453125}, {"start": 2113.65, "end": 2113.97, "word": " ب3", "probability": 0.5911865234375}, {"start": 2113.97, "end": 2114.03, "word": " او", "probability": 0.76025390625}, {"start": 2114.03, "end": 2114.21, "word": " 4", "probability": 0.9736328125}, {"start": 2114.21, "end": 2114.93, "word": " اختبارات", "probability": 0.97353515625}], "temperature": 1.0}, {"id": 93, "seek": 214053, "start": 2115.33, "end": 2140.53, "text": "كل واحد بيحلوا شكل يبدأ كله حسب ما يهديه ربنا في عقله هذا ويكتشف الطريقة ويكتشف الاختبار اللي بيحله على أي حال على أي حال كل هذا من نتركه لأن هذا بوسع مدارك و بصير يتفكر كويس بس لو قلتك استخدم الطريقة الفلانية انا ماشغلتش بخك بصير انت زي اللي نايم خلاص automatic بشتغلها", "tokens": [28820, 36764, 24401, 4724, 1829, 5016, 1211, 14407, 13412, 28820, 7251, 44510, 10721, 28242, 3224, 11331, 35457, 19446, 7251, 3224, 16254, 3224, 12602, 3555, 8315, 8978, 6225, 4587, 43761, 23758, 4032, 1829, 4117, 2655, 8592, 5172, 41950, 16572, 28671, 4032, 1829, 4117, 2655, 8592, 5172, 2423, 47283, 2655, 3555, 9640, 13672, 1829, 4724, 1829, 5016, 1211, 3224, 15844, 36632, 11331, 6027, 15844, 36632, 11331, 6027, 28242, 23758, 9154, 8717, 2655, 31747, 3224, 5296, 33456, 23758, 4724, 41779, 3615, 3714, 3215, 9640, 4117, 4032, 4724, 9381, 13546, 7251, 2655, 5172, 37983, 9122, 45865, 3794, 4724, 3794, 45164, 12174, 1211, 2655, 4117, 44713, 9778, 40448, 41950, 16572, 28671, 27188, 1211, 7649, 10632, 1975, 8315, 19446, 8592, 17082, 1211, 2655, 8592, 4724, 9778, 4117, 4724, 9381, 13546, 16472, 2655, 30767, 1829, 13672, 1829, 8717, 995, 32640, 16490, 1211, 33546, 12509, 4724, 8592, 2655, 17082, 1211, 11296], "avg_logprob": -0.20486110697189966, "compression_ratio": 1.8745098039215686, "no_speech_prob": 0.0, "words": [{"start": 2115.33, "end": 2115.59, "word": "كل", "probability": 0.69287109375}, {"start": 2115.59, "end": 2115.91, "word": " واحد", "probability": 0.912353515625}, {"start": 2115.91, "end": 2116.33, "word": " بيحلوا", "probability": 0.5260498046875}, {"start": 2116.33, "end": 2116.71, "word": " شكل", "probability": 0.9453125}, {"start": 2116.71, "end": 2117.49, "word": " يبدأ", "probability": 0.8103841145833334}, {"start": 2117.49, "end": 2117.99, "word": " كله", "probability": 0.6005859375}, {"start": 2117.99, "end": 2118.35, "word": " حسب", "probability": 0.9736328125}, {"start": 2118.35, "end": 2118.49, "word": " ما", "probability": 0.9560546875}, {"start": 2118.49, "end": 2118.97, "word": " يهديه", "probability": 0.911376953125}, {"start": 2118.97, "end": 2119.47, "word": " ربنا", "probability": 0.9899088541666666}, {"start": 2119.47, "end": 2120.23, "word": " في", "probability": 0.88330078125}, {"start": 2120.23, "end": 2120.79, "word": " عقله", "probability": 0.9775390625}, {"start": 2120.79, "end": 2121.21, "word": " هذا", "probability": 0.1837158203125}, {"start": 2121.21, "end": 2122.19, "word": " ويكتشف", "probability": 0.903076171875}, {"start": 2122.19, "end": 2122.69, "word": " الطريقة", "probability": 0.9503580729166666}, {"start": 2122.69, "end": 2123.23, "word": " ويكتشف", "probability": 0.915283203125}, {"start": 2123.23, "end": 2123.79, "word": " الاختبار", "probability": 0.91875}, {"start": 2123.79, "end": 2123.93, "word": " اللي", "probability": 0.876953125}, {"start": 2123.93, "end": 2124.29, "word": " بيحله", "probability": 0.6017578125}, {"start": 2124.29, "end": 2125.35, "word": " على", "probability": 0.76513671875}, {"start": 2125.35, "end": 2125.57, "word": " أي", "probability": 0.69287109375}, {"start": 2125.57, "end": 2126.01, "word": " حال", "probability": 0.998046875}, {"start": 2126.01, "end": 2126.47, "word": " على", "probability": 0.6591796875}, {"start": 2126.47, "end": 2126.77, "word": " أي", "probability": 0.89794921875}, {"start": 2126.77, "end": 2127.51, "word": " حال", "probability": 0.99853515625}, {"start": 2127.51, "end": 2128.61, "word": " كل", "probability": 0.912109375}, {"start": 2128.61, "end": 2129.09, "word": " هذا", "probability": 0.9091796875}, {"start": 2129.09, "end": 2129.35, "word": " من", "probability": 0.66552734375}, {"start": 2129.35, "end": 2130.05, "word": " نتركه", "probability": 0.669677734375}, {"start": 2130.05, "end": 2130.59, "word": " لأن", "probability": 0.7001953125}, {"start": 2130.59, "end": 2130.79, "word": " هذا", "probability": 0.96728515625}, {"start": 2130.79, "end": 2131.33, "word": " بوسع", "probability": 0.93408203125}, {"start": 2131.33, "end": 2131.97, "word": " مدارك", "probability": 0.960205078125}, {"start": 2131.97, "end": 2132.09, "word": " و", "probability": 0.39111328125}, {"start": 2132.09, "end": 2132.39, "word": " بصير", "probability": 0.76123046875}, {"start": 2132.39, "end": 2132.89, "word": " يتفكر", "probability": 0.792236328125}, {"start": 2132.89, "end": 2133.43, "word": " كويس", "probability": 0.9129231770833334}, {"start": 2133.43, "end": 2133.87, "word": " بس", "probability": 0.837890625}, {"start": 2133.87, "end": 2134.01, "word": " لو", "probability": 0.92236328125}, {"start": 2134.01, "end": 2134.31, "word": " قلتك", "probability": 0.700897216796875}, {"start": 2134.31, "end": 2134.75, "word": " استخدم", "probability": 0.9060872395833334}, {"start": 2134.75, "end": 2135.19, "word": " الطريقة", "probability": 0.9820963541666666}, {"start": 2135.19, "end": 2135.73, "word": " الفلانية", "probability": 0.97021484375}, {"start": 2135.73, "end": 2135.97, "word": " انا", "probability": 0.68310546875}, {"start": 2135.97, "end": 2136.91, "word": " ماشغلتش", "probability": 0.8455810546875}, {"start": 2136.91, "end": 2137.43, "word": " بخك", "probability": 0.9479166666666666}, {"start": 2137.43, "end": 2137.99, "word": " بصير", "probability": 0.9425455729166666}, {"start": 2137.99, "end": 2138.25, "word": " انت", "probability": 0.91455078125}, {"start": 2138.25, "end": 2138.47, "word": " زي", "probability": 0.968017578125}, {"start": 2138.47, "end": 2138.61, "word": " اللي", "probability": 0.9443359375}, {"start": 2138.61, "end": 2138.99, "word": " نايم", "probability": 0.8538411458333334}, {"start": 2138.99, "end": 2139.31, "word": " خلاص", "probability": 0.95751953125}, {"start": 2139.31, "end": 2139.79, "word": " automatic", "probability": 0.58837890625}, {"start": 2139.79, "end": 2140.53, "word": " بشتغلها", "probability": 0.9464518229166666}], "temperature": 1.0}, {"id": 94, "seek": 216308, "start": 2140.98, "end": 2163.08, "text": "أي نعم، لكن لما أقول لك استخدام اللي بدك إياه، بصيت فاكر مين اللي بينفع فيهم، هذا لأ، هذا أه، يبقى أنت صارت ال thumbs ووسعنا المدارس العالمية بالنسبالك، اعني بالك معاك هنا، الآن بدنا نبدأ ناخد أمثلة على الكلام اللي بنقوله، جالي يشوف لي هال series هذي convert، قوله ضيفين، بدي أنا بقى تساءل", "tokens": [10721, 1829, 8717, 25957, 12399, 44381, 5296, 15042, 5551, 39648, 5296, 4117, 44713, 9778, 3215, 10943, 13672, 1829, 47525, 4117, 11933, 25528, 3224, 12399, 4724, 9381, 36081, 6156, 995, 37983, 3714, 9957, 13672, 1829, 4724, 9957, 5172, 3615, 8978, 16095, 12399, 23758, 5296, 10721, 12399, 23758, 5551, 3224, 12399, 7251, 3555, 4587, 7578, 14739, 2655, 20328, 9640, 2655, 2423, 8838, 4032, 41779, 3615, 8315, 9673, 3215, 9640, 3794, 18863, 45340, 10632, 20666, 1863, 35457, 6027, 4117, 12399, 1975, 3615, 22653, 20666, 4117, 20449, 995, 4117, 34105, 12399, 6024, 48506, 47525, 8315, 8717, 44510, 10721, 8717, 47283, 3215, 5551, 2304, 12984, 37977, 15844, 2423, 28820, 10943, 13672, 1829, 44945, 39648, 3224, 12399, 10874, 6027, 1829, 7251, 8592, 38688, 32239, 8032, 6027, 2638, 8032, 8848, 1829, 7620, 12399, 12174, 12610, 3224, 48812, 33911, 9957, 12399, 4724, 16254, 41850, 4724, 4587, 7578, 6055, 3794, 16606, 1211], "avg_logprob": -0.363498254161742, "compression_ratio": 1.810035842293907, "no_speech_prob": 0.0, "words": [{"start": 2140.98, "end": 2141.34, "word": "أي", "probability": 0.197021484375}, {"start": 2141.34, "end": 2141.6, "word": " نعم،", "probability": 0.6814778645833334}, {"start": 2141.6, "end": 2141.78, "word": " لكن", "probability": 0.94189453125}, {"start": 2141.78, "end": 2142.0, "word": " لما", "probability": 0.82568359375}, {"start": 2142.0, "end": 2142.26, "word": " أقول", "probability": 0.84375}, {"start": 2142.26, "end": 2142.46, "word": " لك", "probability": 0.6717529296875}, {"start": 2142.46, "end": 2143.02, "word": " استخدام", "probability": 0.6417999267578125}, {"start": 2143.02, "end": 2143.12, "word": " اللي", "probability": 0.896728515625}, {"start": 2143.12, "end": 2143.38, "word": " بدك", "probability": 0.81396484375}, {"start": 2143.38, "end": 2144.18, "word": " إياه،", "probability": 0.75531005859375}, {"start": 2144.18, "end": 2144.44, "word": " بصيت", "probability": 0.6455078125}, {"start": 2144.44, "end": 2144.7, "word": " فاكر", "probability": 0.9446614583333334}, {"start": 2144.7, "end": 2145.12, "word": " مين", "probability": 0.85546875}, {"start": 2145.12, "end": 2145.26, "word": " اللي", "probability": 0.98828125}, {"start": 2145.26, "end": 2145.74, "word": " بينفع", "probability": 0.84112548828125}, {"start": 2145.74, "end": 2146.12, "word": " فيهم،", "probability": 0.7344563802083334}, {"start": 2146.12, "end": 2146.32, "word": " هذا", "probability": 0.8251953125}, {"start": 2146.32, "end": 2146.68, "word": " لأ،", "probability": 0.9025065104166666}, {"start": 2146.68, "end": 2146.96, "word": " هذا", "probability": 0.953125}, {"start": 2146.96, "end": 2147.64, "word": " أه،", "probability": 0.7291666666666666}, {"start": 2147.64, "end": 2148.02, "word": " يبقى", "probability": 0.8411865234375}, {"start": 2148.02, "end": 2148.42, "word": " أنت", "probability": 0.843017578125}, {"start": 2148.42, "end": 2148.94, "word": " صارت", "probability": 0.4209798177083333}, {"start": 2148.94, "end": 2149.12, "word": " ال", "probability": 0.2041015625}, {"start": 2149.12, "end": 2149.56, "word": " thumbs", "probability": 0.54150390625}, {"start": 2149.56, "end": 2150.5, "word": " ووسعنا", "probability": 0.809814453125}, {"start": 2150.5, "end": 2151.02, "word": " المدارس", "probability": 0.8968505859375}, {"start": 2151.02, "end": 2151.58, "word": " العالمية", "probability": 0.6553955078125}, {"start": 2151.58, "end": 2152.74, "word": " بالنسبالك،", "probability": 0.9192708333333334}, {"start": 2152.74, "end": 2153.0, "word": " اعني", "probability": 0.4493815104166667}, {"start": 2153.0, "end": 2153.3, "word": " بالك", "probability": 0.816650390625}, {"start": 2153.3, "end": 2153.6, "word": " معاك", "probability": 0.5394694010416666}, {"start": 2153.6, "end": 2154.44, "word": " هنا،", "probability": 0.2900390625}, {"start": 2154.44, "end": 2154.8, "word": " الآن", "probability": 0.6806640625}, {"start": 2154.8, "end": 2155.1, "word": " بدنا", "probability": 0.583740234375}, {"start": 2155.1, "end": 2155.32, "word": " نبدأ", "probability": 0.96240234375}, {"start": 2155.32, "end": 2155.66, "word": " ناخد", "probability": 0.9728190104166666}, {"start": 2155.66, "end": 2156.06, "word": " أمثلة", "probability": 0.8270263671875}, {"start": 2156.06, "end": 2156.22, "word": " على", "probability": 0.775390625}, {"start": 2156.22, "end": 2156.6, "word": " الكلام", "probability": 0.9363606770833334}, {"start": 2156.6, "end": 2156.76, "word": " اللي", "probability": 0.98876953125}, {"start": 2156.76, "end": 2157.34, "word": " بنقوله،", "probability": 0.9078369140625}, {"start": 2157.34, "end": 2157.68, "word": " جالي", "probability": 0.611083984375}, {"start": 2157.68, "end": 2157.94, "word": " يشوف", "probability": 0.87451171875}, {"start": 2157.94, "end": 2158.06, "word": " لي", "probability": 0.58251953125}, {"start": 2158.06, "end": 2158.26, "word": " هال", "probability": 0.77880859375}, {"start": 2158.26, "end": 2158.54, "word": " series", "probability": 0.91015625}, {"start": 2158.54, "end": 2158.92, "word": " هذي", "probability": 0.7779947916666666}, {"start": 2158.92, "end": 2160.04, "word": " convert،", "probability": 0.3626708984375}, {"start": 2160.04, "end": 2160.16, "word": " قوله", "probability": 0.555419921875}, {"start": 2160.16, "end": 2161.02, "word": " ضيفين،", "probability": 0.572113037109375}, {"start": 2161.02, "end": 2161.44, "word": " بدي", "probability": 0.72265625}, {"start": 2161.44, "end": 2161.76, "word": " أنا", "probability": 0.826171875}, {"start": 2161.76, "end": 2162.14, "word": " بقى", "probability": 0.9723307291666666}, {"start": 2162.14, "end": 2163.08, "word": " تساءل", "probability": 0.84552001953125}], "temperature": 1.0}, {"id": 95, "seek": 219217, "start": 2163.34, "end": 2192.18, "text": "من أقرب series على هذه ال series أنا عارفهم مسبقا هل هي convergent او divergent اقرب واحد عليهم واحد علي n اذا انا بقول عندنا summation واحد علي n هي divergent harmonic series", "tokens": [27842, 5551, 4587, 25513, 2638, 15844, 29538, 2423, 2638, 41850, 6225, 9640, 5172, 16095, 3714, 35457, 4587, 995, 8032, 1211, 39896, 9652, 6930, 1975, 2407, 18558, 6930, 1975, 4587, 25513, 36764, 24401, 25894, 16095, 36764, 24401, 25894, 297, 1975, 15730, 1975, 8315, 4724, 39648, 43242, 8315, 28811, 36764, 24401, 25894, 297, 39896, 18558, 6930, 32270, 2638], "avg_logprob": -0.38377192982456143, "compression_ratio": 1.6012658227848102, "no_speech_prob": 0.0, "words": [{"start": 2163.34, "end": 2163.92, "word": "من", "probability": 0.4677734375}, {"start": 2163.92, "end": 2164.68, "word": " أقرب", "probability": 0.9033203125}, {"start": 2164.68, "end": 2165.3, "word": " series", "probability": 0.75244140625}, {"start": 2165.3, "end": 2166.0, "word": " على", "probability": 0.83154296875}, {"start": 2166.0, "end": 2166.52, "word": " هذه", "probability": 0.9609375}, {"start": 2166.52, "end": 2166.74, "word": " ال", "probability": 0.483642578125}, {"start": 2166.74, "end": 2167.06, "word": " series", "probability": 0.80126953125}, {"start": 2167.06, "end": 2167.7, "word": " أنا", "probability": 0.6318359375}, {"start": 2167.7, "end": 2168.46, "word": " عارفهم", "probability": 0.70245361328125}, {"start": 2168.46, "end": 2169.34, "word": " مسبقا", "probability": 0.8194580078125}, {"start": 2169.34, "end": 2169.78, "word": " هل", "probability": 0.5677490234375}, {"start": 2169.78, "end": 2169.96, "word": " هي", "probability": 0.8974609375}, {"start": 2169.96, "end": 2170.7, "word": " convergent", "probability": 0.3519287109375}, {"start": 2170.7, "end": 2170.96, "word": " او", "probability": 0.719970703125}, {"start": 2170.96, "end": 2171.84, "word": " divergent", "probability": 0.84130859375}, {"start": 2171.84, "end": 2179.02, "word": " اقرب", "probability": 0.5379638671875}, {"start": 2179.02, "end": 2179.44, "word": " واحد", "probability": 0.869873046875}, {"start": 2179.44, "end": 2180.1, "word": " عليهم", "probability": 0.95458984375}, {"start": 2180.1, "end": 2180.98, "word": " واحد", "probability": 0.866455078125}, {"start": 2180.98, "end": 2181.2, "word": " علي", "probability": 0.33251953125}, {"start": 2181.2, "end": 2181.46, "word": " n", "probability": 0.342041015625}, {"start": 2181.46, "end": 2182.22, "word": " اذا", "probability": 0.8037109375}, {"start": 2182.22, "end": 2182.82, "word": " انا", "probability": 0.824951171875}, {"start": 2182.82, "end": 2183.58, "word": " بقول", "probability": 0.963623046875}, {"start": 2183.58, "end": 2184.52, "word": " عندنا", "probability": 0.935546875}, {"start": 2184.52, "end": 2185.46, "word": " summation", "probability": 0.5322265625}, {"start": 2185.46, "end": 2186.24, "word": " واحد", "probability": 0.80615234375}, {"start": 2186.24, "end": 2186.48, "word": " علي", "probability": 0.69189453125}, {"start": 2186.48, "end": 2186.94, "word": " n", "probability": 0.76318359375}, {"start": 2186.94, "end": 2187.68, "word": " هي", "probability": 0.3544921875}, {"start": 2187.68, "end": 2189.16, "word": " divergent", "probability": 0.538818359375}, {"start": 2189.16, "end": 2190.56, "word": " harmonic", "probability": 0.80078125}, {"start": 2190.56, "end": 2192.18, "word": " series", "probability": 0.919921875}], "temperature": 1.0}, {"id": 96, "seek": 222055, "start": 2194.49, "end": 2220.55, "text": "يبقى بنروح اخد ال limit لما ال N tends to infinity لواحد على ان الجذر النوني ل N تكيب تقسيم واحد على N يبقى يسوي ال limit لما ال N tends to infinity تطلع ال N فوق على ال N وهذا N تكيب", "tokens": [1829, 3555, 4587, 7578, 4724, 1863, 32887, 5016, 1975, 9778, 3215, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 14407, 24401, 15844, 16472, 25724, 8848, 2288, 28239, 11536, 1829, 5296, 426, 6055, 4117, 1829, 3555, 6055, 4587, 3794, 32640, 36764, 24401, 15844, 426, 7251, 3555, 4587, 7578, 7251, 3794, 45865, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 6055, 9566, 1211, 3615, 2423, 426, 6156, 30543, 15844, 2423, 426, 37037, 15730, 426, 6055, 4117, 1829, 3555], "avg_logprob": -0.16005859579890966, "compression_ratio": 1.7756410256410255, "no_speech_prob": 0.0, "words": [{"start": 2194.49, "end": 2194.95, "word": "يبقى", "probability": 0.745849609375}, {"start": 2194.95, "end": 2195.35, "word": " بنروح", "probability": 0.672821044921875}, {"start": 2195.35, "end": 2195.97, "word": " اخد", "probability": 0.745849609375}, {"start": 2195.97, "end": 2196.23, "word": " ال", "probability": 0.92041015625}, {"start": 2196.23, "end": 2196.75, "word": " limit", "probability": 0.87548828125}, {"start": 2196.75, "end": 2198.33, "word": " لما", "probability": 0.92138671875}, {"start": 2198.33, "end": 2198.61, "word": " ال", "probability": 0.96826171875}, {"start": 2198.61, "end": 2198.81, "word": " N", "probability": 0.57958984375}, {"start": 2198.81, "end": 2199.21, "word": " tends", "probability": 0.70703125}, {"start": 2199.21, "end": 2199.49, "word": " to", "probability": 0.93603515625}, {"start": 2199.49, "end": 2200.37, "word": " infinity", "probability": 0.81787109375}, {"start": 2200.37, "end": 2201.69, "word": " لواحد", "probability": 0.7840169270833334}, {"start": 2201.69, "end": 2202.03, "word": " على", "probability": 0.75048828125}, {"start": 2202.03, "end": 2202.47, "word": " ان", "probability": 0.5869140625}, {"start": 2202.47, "end": 2203.39, "word": " الجذر", "probability": 0.9332682291666666}, {"start": 2203.39, "end": 2204.23, "word": " النوني", "probability": 0.8837890625}, {"start": 2204.23, "end": 2204.53, "word": " ل", "probability": 0.966796875}, {"start": 2204.53, "end": 2204.83, "word": " N", "probability": 0.75830078125}, {"start": 2204.83, "end": 2205.83, "word": " تكيب", "probability": 0.9466552734375}, {"start": 2205.83, "end": 2207.09, "word": " تقسيم", "probability": 0.94384765625}, {"start": 2207.09, "end": 2207.71, "word": " واحد", "probability": 0.919677734375}, {"start": 2207.71, "end": 2207.99, "word": " على", "probability": 0.85302734375}, {"start": 2207.99, "end": 2208.39, "word": " N", "probability": 0.93310546875}, {"start": 2208.39, "end": 2209.27, "word": " يبقى", "probability": 0.9775390625}, {"start": 2209.27, "end": 2209.81, "word": " يسوي", "probability": 0.792236328125}, {"start": 2209.81, "end": 2210.03, "word": " ال", "probability": 0.93212890625}, {"start": 2210.03, "end": 2210.47, "word": " limit", "probability": 0.98291015625}, {"start": 2210.47, "end": 2210.91, "word": " لما", "probability": 0.968994140625}, {"start": 2210.91, "end": 2211.11, "word": " ال", "probability": 0.83935546875}, {"start": 2211.11, "end": 2211.43, "word": " N", "probability": 0.98681640625}, {"start": 2211.43, "end": 2211.75, "word": " tends", "probability": 0.822265625}, {"start": 2211.75, "end": 2211.97, "word": " to", "probability": 0.9580078125}, {"start": 2211.97, "end": 2212.55, "word": " infinity", "probability": 0.892578125}, {"start": 2212.55, "end": 2213.61, "word": " تطلع", "probability": 0.9798583984375}, {"start": 2213.61, "end": 2213.87, "word": " ال", "probability": 0.93359375}, {"start": 2213.87, "end": 2214.29, "word": " N", "probability": 0.8935546875}, {"start": 2214.29, "end": 2214.97, "word": " فوق", "probability": 0.972900390625}, {"start": 2214.97, "end": 2215.95, "word": " على", "probability": 0.919921875}, {"start": 2215.95, "end": 2216.85, "word": " ال", "probability": 0.92724609375}, {"start": 2216.85, "end": 2217.31, "word": " N", "probability": 0.962890625}, {"start": 2217.31, "end": 2218.43, "word": " وهذا", "probability": 0.747314453125}, {"start": 2218.43, "end": 2219.13, "word": " N", "probability": 0.9248046875}, {"start": 2219.13, "end": 2220.55, "word": " تكيب", "probability": 0.9964599609375}], "temperature": 1.0}, {"id": 97, "seek": 224735, "start": 2221.37, "end": 2247.35, "text": "ان تكيب أس واحد على ان تختصر ان مع ان يبقى بصير المسألة limit لما الان till infinity لواحد على ان أس واحد على ان الكل تكيب يبقى ان تكيب أس واحد على ان والله ان أس واحد على ان الكل تكيب الاتنين are the same", "tokens": [7649, 6055, 4117, 1829, 3555, 5551, 3794, 36764, 24401, 15844, 16472, 6055, 46456, 9381, 2288, 16472, 20449, 16472, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 9673, 3794, 10721, 37977, 4948, 5296, 15042, 2423, 7649, 4288, 13202, 5296, 14407, 24401, 15844, 16472, 5551, 3794, 36764, 24401, 15844, 16472, 2423, 28820, 6055, 4117, 1829, 3555, 7251, 3555, 4587, 7578, 16472, 6055, 4117, 1829, 3555, 5551, 3794, 36764, 24401, 15844, 16472, 16070, 43761, 16472, 5551, 3794, 36764, 24401, 15844, 16472, 2423, 28820, 6055, 4117, 1829, 3555, 2423, 9307, 1863, 9957, 366, 264, 912], "avg_logprob": -0.15590659700907195, "compression_ratio": 2.2091503267973858, "no_speech_prob": 0.0, "words": [{"start": 2221.37, "end": 2221.87, "word": "ان", "probability": 0.072998046875}, {"start": 2221.87, "end": 2222.59, "word": " تكيب", "probability": 0.8997802734375}, {"start": 2222.59, "end": 2223.17, "word": " أس", "probability": 0.58837890625}, {"start": 2223.17, "end": 2223.83, "word": " واحد", "probability": 0.96435546875}, {"start": 2223.83, "end": 2224.09, "word": " على", "probability": 0.76416015625}, {"start": 2224.09, "end": 2224.43, "word": " ان", "probability": 0.84423828125}, {"start": 2224.43, "end": 2226.41, "word": " تختصر", "probability": 0.8768310546875}, {"start": 2226.41, "end": 2226.65, "word": " ان", "probability": 0.84375}, {"start": 2226.65, "end": 2226.93, "word": " مع", "probability": 0.98779296875}, {"start": 2226.93, "end": 2227.37, "word": " ان", "probability": 0.90771484375}, {"start": 2227.37, "end": 2227.77, "word": " يبقى", "probability": 0.9078369140625}, {"start": 2227.77, "end": 2228.35, "word": " بصير", "probability": 0.7867838541666666}, {"start": 2228.35, "end": 2229.33, "word": " المسألة", "probability": 0.9593505859375}, {"start": 2229.33, "end": 2230.49, "word": " limit", "probability": 0.86669921875}, {"start": 2230.49, "end": 2231.37, "word": " لما", "probability": 0.89794921875}, {"start": 2231.37, "end": 2231.87, "word": " الان", "probability": 0.88720703125}, {"start": 2231.87, "end": 2232.21, "word": " till", "probability": 0.40185546875}, {"start": 2232.21, "end": 2233.29, "word": " infinity", "probability": 0.86279296875}, {"start": 2233.29, "end": 2234.83, "word": " لواحد", "probability": 0.8971354166666666}, {"start": 2234.83, "end": 2235.49, "word": " على", "probability": 0.8916015625}, {"start": 2235.49, "end": 2236.01, "word": " ان", "probability": 0.89111328125}, {"start": 2236.01, "end": 2236.63, "word": " أس", "probability": 0.823486328125}, {"start": 2236.63, "end": 2237.21, "word": " واحد", "probability": 0.98193359375}, {"start": 2237.21, "end": 2237.53, "word": " على", "probability": 0.89404296875}, {"start": 2237.53, "end": 2237.95, "word": " ان", "probability": 0.83447265625}, {"start": 2237.95, "end": 2238.53, "word": " الكل", "probability": 0.8515625}, {"start": 2238.53, "end": 2239.27, "word": " تكيب", "probability": 0.994384765625}, {"start": 2239.27, "end": 2240.63, "word": " يبقى", "probability": 0.95703125}, {"start": 2240.63, "end": 2241.01, "word": " ان", "probability": 0.8369140625}, {"start": 2241.01, "end": 2241.57, "word": " تكيب", "probability": 0.9979248046875}, {"start": 2241.57, "end": 2241.85, "word": " أس", "probability": 0.951904296875}, {"start": 2241.85, "end": 2242.23, "word": " واحد", "probability": 0.986572265625}, {"start": 2242.23, "end": 2242.47, "word": " على", "probability": 0.9140625}, {"start": 2242.47, "end": 2242.69, "word": " ان", "probability": 0.88671875}, {"start": 2242.69, "end": 2243.13, "word": " والله", "probability": 0.61767578125}, {"start": 2243.13, "end": 2243.37, "word": " ان", "probability": 0.7783203125}, {"start": 2243.37, "end": 2243.61, "word": " أس", "probability": 0.88134765625}, {"start": 2243.61, "end": 2243.93, "word": " واحد", "probability": 0.9892578125}, {"start": 2243.93, "end": 2244.11, "word": " على", "probability": 0.90380859375}, {"start": 2244.11, "end": 2244.31, "word": " ان", "probability": 0.765625}, {"start": 2244.31, "end": 2244.71, "word": " الكل", "probability": 0.9501953125}, {"start": 2244.71, "end": 2245.09, "word": " تكيب", "probability": 0.997314453125}, {"start": 2245.09, "end": 2246.05, "word": " الاتنين", "probability": 0.8250732421875}, {"start": 2246.05, "end": 2246.59, "word": " are", "probability": 0.94873046875}, {"start": 2246.59, "end": 2246.87, "word": " the", "probability": 0.94384765625}, {"start": 2246.87, "end": 2247.35, "word": " same", "probability": 0.90625}], "temperature": 1.0}, {"id": 98, "seek": 226887, "start": 2248.03, "end": 2268.87, "text": "الـ limit هذه لو جيت حسبتها يبقى واحد على .. هذه من ال standard المعروفة من الست limits المشهورة اللي أعطينالك في جدول، هذه رقم قداش منهم؟ الرقم اتنين، يبقى هذه قيمتها بواحد تكيب، يبقى النتيجة يسوى قداش", "tokens": [6027, 39184, 4948, 29538, 45164, 10874, 36081, 11331, 35457, 2655, 11296, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 4386, 29538, 9154, 2423, 3832, 9673, 3615, 32887, 5172, 3660, 9154, 2423, 14851, 10406, 9673, 8592, 3224, 13063, 3660, 13672, 1829, 5551, 3615, 9566, 1829, 8315, 23275, 8978, 10874, 3215, 12610, 12399, 29538, 12602, 4587, 2304, 12174, 3215, 33599, 9154, 16095, 22807, 34892, 4587, 2304, 1975, 2655, 1863, 9957, 12399, 7251, 3555, 4587, 7578, 29538, 12174, 32640, 2655, 11296, 4724, 14407, 24401, 6055, 4117, 1829, 3555, 12399, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 7251, 3794, 2407, 7578, 12174, 3215, 33599], "avg_logprob": -0.18548885784526864, "compression_ratio": 1.73, "no_speech_prob": 0.0, "words": [{"start": 2248.03, "end": 2248.47, "word": "الـ", "probability": 0.4698486328125}, {"start": 2248.47, "end": 2248.73, "word": " limit", "probability": 0.34716796875}, {"start": 2248.73, "end": 2249.05, "word": " هذه", "probability": 0.578125}, {"start": 2249.05, "end": 2249.29, "word": " لو", "probability": 0.93115234375}, {"start": 2249.29, "end": 2249.61, "word": " جيت", "probability": 0.890380859375}, {"start": 2249.61, "end": 2250.43, "word": " حسبتها", "probability": 0.8995361328125}, {"start": 2250.43, "end": 2250.75, "word": " يبقى", "probability": 0.9097900390625}, {"start": 2250.75, "end": 2251.41, "word": " واحد", "probability": 0.92431640625}, {"start": 2251.41, "end": 2251.71, "word": " على", "probability": 0.640625}, {"start": 2251.71, "end": 2252.07, "word": " ..", "probability": 0.2314453125}, {"start": 2252.07, "end": 2252.73, "word": " هذه", "probability": 0.5361328125}, {"start": 2252.73, "end": 2252.93, "word": " من", "probability": 0.92626953125}, {"start": 2252.93, "end": 2253.07, "word": " ال", "probability": 0.95263671875}, {"start": 2253.07, "end": 2253.63, "word": " standard", "probability": 0.87255859375}, {"start": 2253.63, "end": 2254.37, "word": " المعروفة", "probability": 0.874755859375}, {"start": 2254.37, "end": 2254.55, "word": " من", "probability": 0.94677734375}, {"start": 2254.55, "end": 2254.91, "word": " الست", "probability": 0.81201171875}, {"start": 2254.91, "end": 2255.23, "word": " limits", "probability": 0.82080078125}, {"start": 2255.23, "end": 2256.43, "word": " المشهورة", "probability": 0.98701171875}, {"start": 2256.43, "end": 2256.53, "word": " اللي", "probability": 0.973876953125}, {"start": 2256.53, "end": 2257.17, "word": " أعطينالك", "probability": 0.7719319661458334}, {"start": 2257.17, "end": 2257.35, "word": " في", "probability": 0.970703125}, {"start": 2257.35, "end": 2258.09, "word": " جدول،", "probability": 0.771240234375}, {"start": 2258.09, "end": 2258.55, "word": " هذه", "probability": 0.71923828125}, {"start": 2258.55, "end": 2258.97, "word": " رقم", "probability": 0.9842122395833334}, {"start": 2258.97, "end": 2259.43, "word": " قداش", "probability": 0.653564453125}, {"start": 2259.43, "end": 2260.69, "word": " منهم؟", "probability": 0.9103190104166666}, {"start": 2260.69, "end": 2262.11, "word": " الرقم", "probability": 0.89794921875}, {"start": 2262.11, "end": 2262.75, "word": " اتنين،", "probability": 0.8650390625}, {"start": 2262.75, "end": 2263.07, "word": " يبقى", "probability": 0.977294921875}, {"start": 2263.07, "end": 2263.31, "word": " هذه", "probability": 0.80224609375}, {"start": 2263.31, "end": 2264.15, "word": " قيمتها", "probability": 0.9869384765625}, {"start": 2264.15, "end": 2265.23, "word": " بواحد", "probability": 0.93798828125}, {"start": 2265.23, "end": 2266.61, "word": " تكيب،", "probability": 0.88623046875}, {"start": 2266.61, "end": 2266.97, "word": " يبقى", "probability": 0.9947509765625}, {"start": 2266.97, "end": 2267.55, "word": " النتيجة", "probability": 0.9539794921875}, {"start": 2267.55, "end": 2268.01, "word": " يسوى", "probability": 0.7010498046875}, {"start": 2268.01, "end": 2268.87, "word": " قداش", "probability": 0.9480794270833334}], "temperature": 1.0}, {"id": 99, "seek": 229373, "start": 2270.33, "end": 2293.73, "text": "رقم والرقم أكبر من الـ zero يبقى بال limit comparison test ال series اللي قارننا معاها وال series الأصلية اتنين زي بعض طب اللي قارننا معاها by verge إذا ال series التانية معاها by verge فبروح بقوله by the limit comparison test the series", "tokens": [2288, 4587, 2304, 16070, 2288, 4587, 2304, 5551, 4117, 26890, 9154, 2423, 39184, 4018, 7251, 3555, 4587, 7578, 20666, 4948, 9660, 1500, 2423, 2638, 13672, 1829, 12174, 9640, 1863, 8315, 20449, 995, 11296, 16070, 2638, 16247, 36520, 10632, 1975, 2655, 1863, 9957, 30767, 1829, 45030, 11242, 23032, 3555, 13672, 1829, 12174, 9640, 1863, 8315, 20449, 995, 11296, 538, 37164, 11933, 15730, 2423, 2638, 16712, 7649, 10632, 20449, 995, 11296, 538, 37164, 6156, 26890, 2407, 5016, 4724, 39648, 3224, 538, 264, 4948, 9660, 1500, 264, 2638], "avg_logprob": -0.23691859789365946, "compression_ratio": 1.8342245989304813, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2270.33, "end": 2271.01, "word": "رقم", "probability": 0.6894124348958334}, {"start": 2271.01, "end": 2271.71, "word": " والرقم", "probability": 0.8795166015625}, {"start": 2271.71, "end": 2272.33, "word": " أكبر", "probability": 0.8712565104166666}, {"start": 2272.33, "end": 2272.63, "word": " من", "probability": 0.9873046875}, {"start": 2272.63, "end": 2273.09, "word": " الـ", "probability": 0.658447265625}, {"start": 2273.09, "end": 2273.27, "word": " zero", "probability": 0.274658203125}, {"start": 2273.27, "end": 2273.77, "word": " يبقى", "probability": 0.919921875}, {"start": 2273.77, "end": 2273.95, "word": " بال", "probability": 0.8349609375}, {"start": 2273.95, "end": 2274.33, "word": " limit", "probability": 0.69384765625}, {"start": 2274.33, "end": 2275.19, "word": " comparison", "probability": 0.9033203125}, {"start": 2275.19, "end": 2275.81, "word": " test", "probability": 0.87353515625}, {"start": 2275.81, "end": 2276.45, "word": " ال", "probability": 0.54052734375}, {"start": 2276.45, "end": 2276.79, "word": " series", "probability": 0.90380859375}, {"start": 2276.79, "end": 2277.19, "word": " اللي", "probability": 0.826904296875}, {"start": 2277.19, "end": 2277.87, "word": " قارننا", "probability": 0.8525390625}, {"start": 2277.87, "end": 2278.47, "word": " معاها", "probability": 0.955078125}, {"start": 2278.47, "end": 2278.73, "word": " وال", "probability": 0.431396484375}, {"start": 2278.73, "end": 2279.03, "word": " series", "probability": 0.71142578125}, {"start": 2279.03, "end": 2279.61, "word": " الأصلية", "probability": 0.68701171875}, {"start": 2279.61, "end": 2280.25, "word": " اتنين", "probability": 0.8671875}, {"start": 2280.25, "end": 2280.53, "word": " زي", "probability": 0.95166015625}, {"start": 2280.53, "end": 2280.91, "word": " بعض", "probability": 0.988525390625}, {"start": 2280.91, "end": 2281.47, "word": " طب", "probability": 0.739013671875}, {"start": 2281.47, "end": 2281.71, "word": " اللي", "probability": 0.9853515625}, {"start": 2281.71, "end": 2282.17, "word": " قارننا", "probability": 0.9705810546875}, {"start": 2282.17, "end": 2282.69, "word": " معاها", "probability": 0.9781901041666666}, {"start": 2282.69, "end": 2283.03, "word": " by", "probability": 0.77490234375}, {"start": 2283.03, "end": 2283.55, "word": " verge", "probability": 0.36328125}, {"start": 2283.55, "end": 2284.11, "word": " إذا", "probability": 0.498291015625}, {"start": 2284.11, "end": 2284.39, "word": " ال", "probability": 0.630859375}, {"start": 2284.39, "end": 2284.69, "word": " series", "probability": 0.9130859375}, {"start": 2284.69, "end": 2285.37, "word": " التانية", "probability": 0.9519856770833334}, {"start": 2285.37, "end": 2285.85, "word": " معاها", "probability": 0.7747395833333334}, {"start": 2285.85, "end": 2286.49, "word": " by", "probability": 0.92724609375}, {"start": 2286.49, "end": 2286.93, "word": " verge", "probability": 0.8935546875}, {"start": 2286.93, "end": 2287.43, "word": " فبروح", "probability": 0.85986328125}, {"start": 2287.43, "end": 2288.17, "word": " بقوله", "probability": 0.8590494791666666}, {"start": 2288.17, "end": 2288.63, "word": " by", "probability": 0.88818359375}, {"start": 2288.63, "end": 2289.31, "word": " the", "probability": 0.8798828125}, {"start": 2289.31, "end": 2290.41, "word": " limit", "probability": 0.9599609375}, {"start": 2290.41, "end": 2291.37, "word": " comparison", "probability": 0.91357421875}, {"start": 2291.37, "end": 2292.17, "word": " test", "probability": 0.9287109375}, {"start": 2292.17, "end": 2292.91, "word": " the", "probability": 0.53271484375}, {"start": 2292.91, "end": 2293.73, "word": " series", "probability": 0.9345703125}], "temperature": 1.0}, {"id": 100, "seek": 231759, "start": 2312.07, "end": 2317.59, "text": "السؤال الثاني يقول", "tokens": [6027, 3794, 33604, 6027, 6024, 104, 7649, 1829, 7251, 39648], "avg_logprob": -0.5401278625835072, "compression_ratio": 0.8947368421052632, "no_speech_prob": 0.0, "words": [{"start": 2312.0699999999997, "end": 2313.47, "word": "السؤال", "probability": 0.62335205078125}, {"start": 2313.47, "end": 2314.87, "word": " الثاني", "probability": 0.8587646484375}, {"start": 2314.87, "end": 2317.59, "word": " يقول", "probability": 0.561279296875}], "temperature": 1.0}, {"id": 101, "seek": 232885, "start": 2319.65, "end": 2328.85, "text": "من N equal one to infinity للجذر النوني ل N على N تربيع", "tokens": [27842, 426, 2681, 472, 281, 13202, 24976, 7435, 8848, 2288, 28239, 11536, 1829, 5296, 426, 15844, 426, 6055, 2288, 21292, 3615], "avg_logprob": -0.2633167667822404, "compression_ratio": 0.9746835443037974, "no_speech_prob": 0.0, "words": [{"start": 2319.65, "end": 2320.01, "word": "من", "probability": 0.607421875}, {"start": 2320.01, "end": 2320.39, "word": " N", "probability": 0.451416015625}, {"start": 2320.39, "end": 2320.85, "word": " equal", "probability": 0.061492919921875}, {"start": 2320.85, "end": 2321.23, "word": " one", "probability": 0.728515625}, {"start": 2321.23, "end": 2321.51, "word": " to", "probability": 0.93994140625}, {"start": 2321.51, "end": 2322.51, "word": " infinity", "probability": 0.8330078125}, {"start": 2322.51, "end": 2324.19, "word": " للجذر", "probability": 0.8436279296875}, {"start": 2324.19, "end": 2325.45, "word": " النوني", "probability": 0.8385416666666666}, {"start": 2325.45, "end": 2325.85, "word": " ل", "probability": 0.91357421875}, {"start": 2325.85, "end": 2326.39, "word": " N", "probability": 0.6796875}, {"start": 2326.39, "end": 2327.47, "word": " على", "probability": 0.8017578125}, {"start": 2327.47, "end": 2328.07, "word": " N", "probability": 0.9482421875}, {"start": 2328.07, "end": 2328.85, "word": " تربيع", "probability": 0.770751953125}], "temperature": 1.0}, {"id": 102, "seek": 235907, "start": 2332.21, "end": 2359.07, "text": "ماشي الحاجة high summation 1 على N تربية convert P series السبب بسبب أن P يسوى 2 أكبر من 1 يبقى بدنا ناخد limit لما ال N tends to infinity لل N أس 1 على N على N تربية تقسيم 1 على N تربية", "tokens": [2304, 33599, 1829, 21542, 26108, 3660, 1090, 28811, 502, 15844, 426, 6055, 25513, 10632, 7620, 430, 2638, 21136, 3555, 3555, 4724, 35457, 3555, 14739, 430, 7251, 3794, 2407, 7578, 568, 5551, 4117, 26890, 9154, 502, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 47283, 3215, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 24976, 426, 5551, 3794, 502, 15844, 426, 15844, 426, 6055, 25513, 10632, 6055, 4587, 3794, 32640, 502, 15844, 426, 6055, 25513, 10632], "avg_logprob": -0.29124999364217125, "compression_ratio": 1.4917127071823204, "no_speech_prob": 0.0, "words": [{"start": 2332.21, "end": 2333.17, "word": "ماشي", "probability": 0.6619466145833334}, {"start": 2333.17, "end": 2333.99, "word": " الحاجة", "probability": 0.591552734375}, {"start": 2333.99, "end": 2334.43, "word": " high", "probability": 0.311279296875}, {"start": 2334.43, "end": 2335.33, "word": " summation", "probability": 0.84912109375}, {"start": 2335.33, "end": 2336.01, "word": " 1", "probability": 0.460205078125}, {"start": 2336.01, "end": 2336.55, "word": " على", "probability": 0.281494140625}, {"start": 2336.55, "end": 2336.87, "word": " N", "probability": 0.521484375}, {"start": 2336.87, "end": 2337.59, "word": " تربية", "probability": 0.7599283854166666}, {"start": 2337.59, "end": 2338.69, "word": " convert", "probability": 0.4384765625}, {"start": 2338.69, "end": 2339.77, "word": " P", "probability": 0.89794921875}, {"start": 2339.77, "end": 2340.97, "word": " series", "probability": 0.61767578125}, {"start": 2340.97, "end": 2342.41, "word": " السبب", "probability": 0.9768880208333334}, {"start": 2342.41, "end": 2343.59, "word": " بسبب", "probability": 0.5716959635416666}, {"start": 2343.59, "end": 2343.95, "word": " أن", "probability": 0.4658203125}, {"start": 2343.95, "end": 2344.53, "word": " P", "probability": 0.96875}, {"start": 2344.53, "end": 2345.17, "word": " يسوى", "probability": 0.64617919921875}, {"start": 2345.17, "end": 2345.61, "word": " 2", "probability": 0.91259765625}, {"start": 2345.61, "end": 2346.25, "word": " أكبر", "probability": 0.9007161458333334}, {"start": 2346.25, "end": 2346.47, "word": " من", "probability": 0.98388671875}, {"start": 2346.47, "end": 2346.91, "word": " 1", "probability": 0.662109375}, {"start": 2346.91, "end": 2348.57, "word": " يبقى", "probability": 0.8739013671875}, {"start": 2348.57, "end": 2348.85, "word": " بدنا", "probability": 0.565185546875}, {"start": 2348.85, "end": 2349.33, "word": " ناخد", "probability": 0.9851888020833334}, {"start": 2349.33, "end": 2349.89, "word": " limit", "probability": 0.8017578125}, {"start": 2349.89, "end": 2350.35, "word": " لما", "probability": 0.77734375}, {"start": 2350.35, "end": 2350.55, "word": " ال", "probability": 0.7978515625}, {"start": 2350.55, "end": 2350.79, "word": " N", "probability": 0.86083984375}, {"start": 2350.79, "end": 2351.19, "word": " tends", "probability": 0.763671875}, {"start": 2351.19, "end": 2351.47, "word": " to", "probability": 0.90673828125}, {"start": 2351.47, "end": 2352.29, "word": " infinity", "probability": 0.845703125}, {"start": 2352.29, "end": 2353.13, "word": " لل", "probability": 0.3681640625}, {"start": 2353.13, "end": 2353.63, "word": " N", "probability": 0.84765625}, {"start": 2353.63, "end": 2354.07, "word": " أس", "probability": 0.686767578125}, {"start": 2354.07, "end": 2354.53, "word": " 1", "probability": 0.63623046875}, {"start": 2354.53, "end": 2354.97, "word": " على", "probability": 0.8369140625}, {"start": 2354.97, "end": 2355.35, "word": " N", "probability": 0.9873046875}, {"start": 2355.35, "end": 2355.81, "word": " على", "probability": 0.7998046875}, {"start": 2355.81, "end": 2356.25, "word": " N", "probability": 0.9873046875}, {"start": 2356.25, "end": 2356.75, "word": " تربية", "probability": 0.955078125}, {"start": 2356.75, "end": 2357.53, "word": " تقسيم", "probability": 0.93994140625}, {"start": 2357.53, "end": 2357.85, "word": " 1", "probability": 0.93603515625}, {"start": 2357.85, "end": 2358.23, "word": " على", "probability": 0.9013671875}, {"start": 2358.23, "end": 2358.59, "word": " N", "probability": 0.99267578125}, {"start": 2358.59, "end": 2359.07, "word": " تربية", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 103, "seek": 238457, "start": 2359.85, "end": 2384.57, "text": "يبقى هذا كلام limit لما ال N tends to infinity لل N أس واحد على N واحد على N تربية تختصر مع واحد على N تربية بيبقى ال N أس واحد على N ليه بيجداش بواحد كذلك أكبر من ال zero بروح بقوله by the limit comparison test", "tokens": [1829, 3555, 4587, 7578, 23758, 28242, 10943, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 24976, 426, 5551, 3794, 36764, 24401, 15844, 426, 36764, 24401, 15844, 426, 6055, 25513, 10632, 6055, 46456, 9381, 2288, 20449, 36764, 24401, 15844, 426, 6055, 25513, 10632, 4724, 1829, 3555, 4587, 7578, 2423, 426, 5551, 3794, 36764, 24401, 15844, 426, 32239, 3224, 4724, 1829, 7435, 3215, 33599, 4724, 14407, 24401, 9122, 8848, 23275, 5551, 4117, 26890, 9154, 2423, 4018, 4724, 32887, 5016, 4724, 39648, 3224, 538, 264, 4948, 9660, 1500], "avg_logprob": -0.2151162809757299, "compression_ratio": 1.702127659574468, "no_speech_prob": 0.0, "words": [{"start": 2359.85, "end": 2360.39, "word": "يبقى", "probability": 0.711669921875}, {"start": 2360.39, "end": 2360.71, "word": " هذا", "probability": 0.86474609375}, {"start": 2360.71, "end": 2361.27, "word": " كلام", "probability": 0.6837158203125}, {"start": 2361.27, "end": 2361.89, "word": " limit", "probability": 0.87646484375}, {"start": 2361.89, "end": 2362.37, "word": " لما", "probability": 0.855224609375}, {"start": 2362.37, "end": 2362.63, "word": " ال", "probability": 0.87890625}, {"start": 2362.63, "end": 2362.89, "word": " N", "probability": 0.4150390625}, {"start": 2362.89, "end": 2363.25, "word": " tends", "probability": 0.6142578125}, {"start": 2363.25, "end": 2363.57, "word": " to", "probability": 0.94091796875}, {"start": 2363.57, "end": 2364.39, "word": " infinity", "probability": 0.8515625}, {"start": 2364.39, "end": 2364.89, "word": " لل", "probability": 0.474365234375}, {"start": 2364.89, "end": 2365.37, "word": " N", "probability": 0.8349609375}, {"start": 2365.37, "end": 2365.81, "word": " أس", "probability": 0.510009765625}, {"start": 2365.81, "end": 2366.37, "word": " واحد", "probability": 0.871337890625}, {"start": 2366.37, "end": 2366.77, "word": " على", "probability": 0.6611328125}, {"start": 2366.77, "end": 2367.19, "word": " N", "probability": 0.69580078125}, {"start": 2367.19, "end": 2368.75, "word": " واحد", "probability": 0.849365234375}, {"start": 2368.75, "end": 2368.93, "word": " على", "probability": 0.78076171875}, {"start": 2368.93, "end": 2369.15, "word": " N", "probability": 0.76513671875}, {"start": 2369.15, "end": 2369.49, "word": " تربية", "probability": 0.7618001302083334}, {"start": 2369.49, "end": 2370.21, "word": " تختصر", "probability": 0.9805908203125}, {"start": 2370.21, "end": 2370.37, "word": " مع", "probability": 0.95166015625}, {"start": 2370.37, "end": 2370.73, "word": " واحد", "probability": 0.98876953125}, {"start": 2370.73, "end": 2370.91, "word": " على", "probability": 0.884765625}, {"start": 2370.91, "end": 2371.19, "word": " N", "probability": 0.974609375}, {"start": 2371.19, "end": 2371.53, "word": " تربية", "probability": 0.9698893229166666}, {"start": 2371.53, "end": 2371.85, "word": " بيبقى", "probability": 0.8234375}, {"start": 2371.85, "end": 2371.97, "word": " ال", "probability": 0.62109375}, {"start": 2371.97, "end": 2372.17, "word": " N", "probability": 0.9609375}, {"start": 2372.17, "end": 2372.41, "word": " أس", "probability": 0.845703125}, {"start": 2372.41, "end": 2372.73, "word": " واحد", "probability": 0.967041015625}, {"start": 2372.73, "end": 2372.89, "word": " على", "probability": 0.81982421875}, {"start": 2372.89, "end": 2373.05, "word": " N", "probability": 0.71923828125}, {"start": 2373.05, "end": 2373.25, "word": " ليه", "probability": 0.94140625}, {"start": 2373.25, "end": 2374.15, "word": " بيجداش", "probability": 0.691064453125}, {"start": 2374.15, "end": 2375.91, "word": " بواحد", "probability": 0.8084309895833334}, {"start": 2375.91, "end": 2376.63, "word": " كذلك", "probability": 0.9635416666666666}, {"start": 2376.63, "end": 2377.35, "word": " أكبر", "probability": 0.89404296875}, {"start": 2377.35, "end": 2377.63, "word": " من", "probability": 0.99560546875}, {"start": 2377.63, "end": 2377.87, "word": " ال", "probability": 0.79541015625}, {"start": 2377.87, "end": 2378.25, "word": " zero", "probability": 0.65087890625}, {"start": 2378.25, "end": 2379.11, "word": " بروح", "probability": 0.9347330729166666}, {"start": 2379.11, "end": 2379.81, "word": " بقوله", "probability": 0.9069010416666666}, {"start": 2379.81, "end": 2380.43, "word": " by", "probability": 0.8203125}, {"start": 2380.43, "end": 2381.41, "word": " the", "probability": 0.833984375}, {"start": 2381.41, "end": 2382.65, "word": " limit", "probability": 0.94091796875}, {"start": 2382.65, "end": 2383.79, "word": " comparison", "probability": 0.89990234375}, {"start": 2383.79, "end": 2384.57, "word": " test", "probability": 0.92919921875}], "temperature": 1.0}, {"id": 104, "seek": 240332, "start": 2401.2, "end": 2403.32, "text": "السؤال التالت", "tokens": [6027, 3794, 33604, 6027, 16712, 6027, 2655], "avg_logprob": -0.1992187462747097, "compression_ratio": 0.9615384615384616, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2401.2, "end": 2402.6, "word": "السؤال", "probability": 0.7890625}, {"start": 2402.6, "end": 2403.32, "word": " التالت", "probability": 0.962890625}], "temperature": 1.0}, {"id": 105, "seek": 242236, "start": 2407.08, "end": 2422.36, "text": "سؤال التالت بيقوللي ال summation من n equal one to infinity ل tan واحد على m بدنا نشوف هل ال series هذي converge ولا diverge", "tokens": [3794, 33604, 6027, 16712, 6027, 2655, 4724, 1829, 39648, 20292, 2423, 28811, 9154, 297, 2681, 472, 281, 13202, 5296, 7603, 36764, 24401, 15844, 275, 47525, 8315, 8717, 8592, 38688, 8032, 1211, 2423, 2638, 8032, 8848, 1829, 41881, 49429, 18558, 432], "avg_logprob": -0.38509909699602823, "compression_ratio": 1.2302158273381294, "no_speech_prob": 0.0, "words": [{"start": 2407.08, "end": 2407.58, "word": "سؤال", "probability": 0.8846028645833334}, {"start": 2407.58, "end": 2408.0, "word": " التالت", "probability": 0.814453125}, {"start": 2408.0, "end": 2408.48, "word": " بيقوللي", "probability": 0.644683837890625}, {"start": 2408.48, "end": 2408.66, "word": " ال", "probability": 0.48193359375}, {"start": 2408.66, "end": 2409.52, "word": " summation", "probability": 0.349853515625}, {"start": 2409.52, "end": 2410.48, "word": " من", "probability": 0.9443359375}, {"start": 2410.48, "end": 2410.8, "word": " n", "probability": 0.259521484375}, {"start": 2410.8, "end": 2411.32, "word": " equal", "probability": 0.2164306640625}, {"start": 2411.32, "end": 2411.76, "word": " one", "probability": 0.64794921875}, {"start": 2411.76, "end": 2412.1, "word": " to", "probability": 0.951171875}, {"start": 2412.1, "end": 2413.0, "word": " infinity", "probability": 0.86767578125}, {"start": 2413.0, "end": 2413.86, "word": " ل", "probability": 0.9130859375}, {"start": 2413.86, "end": 2414.78, "word": " tan", "probability": 0.2425537109375}, {"start": 2414.78, "end": 2415.58, "word": " واحد", "probability": 0.96826171875}, {"start": 2415.58, "end": 2415.98, "word": " على", "probability": 0.60791015625}, {"start": 2415.98, "end": 2416.4, "word": " m", "probability": 0.495361328125}, {"start": 2416.4, "end": 2418.6, "word": " بدنا", "probability": 0.635009765625}, {"start": 2418.6, "end": 2418.98, "word": " نشوف", "probability": 0.9951171875}, {"start": 2418.98, "end": 2419.2, "word": " هل", "probability": 0.878173828125}, {"start": 2419.2, "end": 2419.32, "word": " ال", "probability": 0.74169921875}, {"start": 2419.32, "end": 2419.64, "word": " series", "probability": 0.9296875}, {"start": 2419.64, "end": 2420.14, "word": " هذي", "probability": 0.67236328125}, {"start": 2420.14, "end": 2420.66, "word": " converge", "probability": 0.6298828125}, {"start": 2420.66, "end": 2421.58, "word": " ولا", "probability": 0.60595703125}, {"start": 2421.58, "end": 2422.36, "word": " diverge", "probability": 0.6590576171875}], "temperature": 1.0}, {"id": 106, "seek": 245233, "start": 2423.75, "end": 2452.33, "text": "يا الله طلع فيها كويس وشوف مين أقرب series عليها ممكن نعمل مقارنة بينها وبينها وبالتالي نتوصل لل convergence أو ال divergence تبعتان واحد على انف، مين؟ طيب نجرب، يبقى وقت بسم الله بيقول الانف، ولا لا؟", "tokens": [25528, 21984, 23032, 1211, 3615, 8978, 11296, 9122, 45865, 3794, 4032, 8592, 38688, 3714, 9957, 5551, 4587, 25513, 2638, 25894, 11296, 3714, 43020, 8717, 25957, 1211, 3714, 4587, 9640, 1863, 3660, 49374, 11296, 46599, 9957, 11296, 46599, 6027, 2655, 6027, 1829, 8717, 2655, 2407, 36520, 24976, 32181, 34051, 2423, 47387, 6055, 3555, 34268, 7649, 36764, 24401, 15844, 16472, 5172, 12399, 3714, 9957, 22807, 23032, 1829, 3555, 8717, 7435, 25513, 12399, 7251, 3555, 4587, 7578, 4032, 38149, 4724, 38251, 21984, 4724, 1829, 39648, 2423, 7649, 5172, 12399, 49429, 20193, 22807], "avg_logprob": -0.2270833381348186, "compression_ratio": 1.6766169154228856, "no_speech_prob": 0.0, "words": [{"start": 2423.75, "end": 2424.01, "word": "يا", "probability": 0.04815673828125}, {"start": 2424.01, "end": 2424.17, "word": " الله", "probability": 0.93359375}, {"start": 2424.17, "end": 2424.67, "word": " طلع", "probability": 0.8465169270833334}, {"start": 2424.67, "end": 2424.99, "word": " فيها", "probability": 0.9716796875}, {"start": 2424.99, "end": 2425.63, "word": " كويس", "probability": 0.9860026041666666}, {"start": 2425.63, "end": 2426.65, "word": " وشوف", "probability": 0.9070638020833334}, {"start": 2426.65, "end": 2427.03, "word": " مين", "probability": 0.930908203125}, {"start": 2427.03, "end": 2427.77, "word": " أقرب", "probability": 0.8728841145833334}, {"start": 2427.77, "end": 2428.41, "word": " series", "probability": 0.82177734375}, {"start": 2428.41, "end": 2429.19, "word": " عليها", "probability": 0.98193359375}, {"start": 2429.19, "end": 2430.29, "word": " ممكن", "probability": 0.91796875}, {"start": 2430.29, "end": 2430.89, "word": " نعمل", "probability": 0.9978841145833334}, {"start": 2430.89, "end": 2431.79, "word": " مقارنة", "probability": 0.98935546875}, {"start": 2431.79, "end": 2432.59, "word": " بينها", "probability": 0.982666015625}, {"start": 2432.59, "end": 2433.69, "word": " وبينها", "probability": 0.8720703125}, {"start": 2433.69, "end": 2434.61, "word": " وبالتالي", "probability": 0.9228515625}, {"start": 2434.61, "end": 2435.87, "word": " نتوصل", "probability": 0.9415283203125}, {"start": 2435.87, "end": 2436.25, "word": " لل", "probability": 0.5615234375}, {"start": 2436.25, "end": 2436.93, "word": " convergence", "probability": 0.94482421875}, {"start": 2436.93, "end": 2437.57, "word": " أو", "probability": 0.53076171875}, {"start": 2437.57, "end": 2437.73, "word": " ال", "probability": 0.94384765625}, {"start": 2437.73, "end": 2438.47, "word": " divergence", "probability": 0.9873046875}, {"start": 2438.47, "end": 2440.47, "word": " تبعتان", "probability": 0.8125}, {"start": 2440.47, "end": 2441.39, "word": " واحد", "probability": 0.951904296875}, {"start": 2441.39, "end": 2441.67, "word": " على", "probability": 0.75634765625}, {"start": 2441.67, "end": 2443.67, "word": " انف،", "probability": 0.3734944661458333}, {"start": 2443.67, "end": 2444.37, "word": " مين؟", "probability": 0.789794921875}, {"start": 2444.37, "end": 2445.85, "word": " طيب", "probability": 0.7809244791666666}, {"start": 2445.85, "end": 2447.19, "word": " نجرب،", "probability": 0.725830078125}, {"start": 2447.19, "end": 2448.07, "word": " يبقى", "probability": 0.896484375}, {"start": 2448.07, "end": 2449.17, "word": " وقت", "probability": 0.6898193359375}, {"start": 2449.17, "end": 2449.39, "word": " بسم", "probability": 0.806640625}, {"start": 2449.39, "end": 2449.55, "word": " الله", "probability": 0.67431640625}, {"start": 2449.55, "end": 2449.89, "word": " بيقول", "probability": 0.8216145833333334}, {"start": 2449.89, "end": 2451.53, "word": " الانف،", "probability": 0.745849609375}, {"start": 2451.53, "end": 2451.71, "word": " ولا", "probability": 0.63330078125}, {"start": 2451.71, "end": 2452.33, "word": " لا؟", "probability": 0.89697265625}], "temperature": 1.0}, {"id": 107, "seek": 247338, "start": 2454.3, "end": 2473.38, "text": "الان الان اعتبر سمعي مش مظبوط يبقى لو روحنا اخدنا summation واحد على ان summation واحد على ان هي diverse harmonic سيريز بدنا نروح ناخد limit", "tokens": [6027, 7649, 2423, 7649, 1975, 34268, 26890, 8608, 2304, 3615, 1829, 37893, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 45164, 12602, 2407, 5016, 8315, 1975, 9778, 3215, 8315, 28811, 36764, 24401, 15844, 16472, 28811, 36764, 24401, 15844, 16472, 39896, 9521, 32270, 8608, 1829, 16572, 11622, 47525, 8315, 8717, 32887, 5016, 8717, 47283, 3215, 4948], "avg_logprob": -0.3064692856972678, "compression_ratio": 1.4965517241379311, "no_speech_prob": 0.0, "words": [{"start": 2454.3, "end": 2454.92, "word": "الان", "probability": 0.36474609375}, {"start": 2454.92, "end": 2456.18, "word": " الان", "probability": 0.54193115234375}, {"start": 2456.18, "end": 2457.04, "word": " اعتبر", "probability": 0.7711588541666666}, {"start": 2457.04, "end": 2457.5, "word": " سمعي", "probability": 0.734619140625}, {"start": 2457.5, "end": 2457.7, "word": " مش", "probability": 0.97607421875}, {"start": 2457.7, "end": 2458.66, "word": " مظبوط", "probability": 0.9638671875}, {"start": 2458.66, "end": 2459.26, "word": " يبقى", "probability": 0.9229736328125}, {"start": 2459.26, "end": 2459.44, "word": " لو", "probability": 0.9541015625}, {"start": 2459.44, "end": 2459.8, "word": " روحنا", "probability": 0.904296875}, {"start": 2459.8, "end": 2460.48, "word": " اخدنا", "probability": 0.841064453125}, {"start": 2460.48, "end": 2461.32, "word": " summation", "probability": 0.82861328125}, {"start": 2461.32, "end": 2462.14, "word": " واحد", "probability": 0.85546875}, {"start": 2462.14, "end": 2462.56, "word": " على", "probability": 0.798828125}, {"start": 2462.56, "end": 2463.02, "word": " ان", "probability": 0.4951171875}, {"start": 2463.02, "end": 2464.32, "word": " summation", "probability": 0.681640625}, {"start": 2464.32, "end": 2465.04, "word": " واحد", "probability": 0.97119140625}, {"start": 2465.04, "end": 2465.28, "word": " على", "probability": 0.8564453125}, {"start": 2465.28, "end": 2465.54, "word": " ان", "probability": 0.72216796875}, {"start": 2465.54, "end": 2465.84, "word": " هي", "probability": 0.2587890625}, {"start": 2465.84, "end": 2466.66, "word": " diverse", "probability": 0.349365234375}, {"start": 2466.66, "end": 2468.06, "word": " harmonic", "probability": 0.9091796875}, {"start": 2468.06, "end": 2470.42, "word": " سيريز", "probability": 0.53863525390625}, {"start": 2470.42, "end": 2471.9, "word": " بدنا", "probability": 0.796630859375}, {"start": 2471.9, "end": 2472.22, "word": " نروح", "probability": 0.94140625}, {"start": 2472.22, "end": 2472.72, "word": " ناخد", "probability": 0.9833984375}, {"start": 2472.72, "end": 2473.38, "word": " limit", "probability": 0.94189453125}], "temperature": 1.0}, {"id": 108, "seek": 249591, "start": 2474.35, "end": 2495.91, "text": "لما ال N tends to infinity لتان واحد على N كله على واحد على M التعويض المباشر يعطينا Zero على Zero يبقى نستخدم قاعدة Lobital يبقى limit لما ال N tends to infinity تفضل التان", "tokens": [1211, 15042, 2423, 426, 12258, 281, 13202, 5296, 2655, 7649, 36764, 24401, 15844, 426, 28242, 3224, 15844, 36764, 24401, 15844, 376, 16712, 3615, 45865, 11242, 9673, 3555, 33599, 2288, 37495, 9566, 1829, 8315, 17182, 15844, 17182, 7251, 3555, 4587, 7578, 8717, 14851, 9778, 40448, 12174, 995, 22488, 3660, 30719, 1686, 7251, 3555, 4587, 7578, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 6055, 5172, 11242, 1211, 16712, 7649], "avg_logprob": -0.2411684843077176, "compression_ratio": 1.5828220858895705, "no_speech_prob": 0.0, "words": [{"start": 2474.35, "end": 2474.91, "word": "لما", "probability": 0.59185791015625}, {"start": 2474.91, "end": 2475.15, "word": " ال", "probability": 0.84033203125}, {"start": 2475.15, "end": 2475.35, "word": " N", "probability": 0.259765625}, {"start": 2475.35, "end": 2475.77, "word": " tends", "probability": 0.44384765625}, {"start": 2475.77, "end": 2476.05, "word": " to", "probability": 0.94287109375}, {"start": 2476.05, "end": 2476.83, "word": " infinity", "probability": 0.79541015625}, {"start": 2476.83, "end": 2478.55, "word": " لتان", "probability": 0.9119466145833334}, {"start": 2478.55, "end": 2479.43, "word": " واحد", "probability": 0.89501953125}, {"start": 2479.43, "end": 2479.81, "word": " على", "probability": 0.7412109375}, {"start": 2479.81, "end": 2480.27, "word": " N", "probability": 0.66552734375}, {"start": 2480.27, "end": 2481.15, "word": " كله", "probability": 0.9052734375}, {"start": 2481.15, "end": 2481.39, "word": " على", "probability": 0.88134765625}, {"start": 2481.39, "end": 2481.97, "word": " واحد", "probability": 0.9833984375}, {"start": 2481.97, "end": 2482.35, "word": " على", "probability": 0.875}, {"start": 2482.35, "end": 2482.79, "word": " M", "probability": 0.69482421875}, {"start": 2482.79, "end": 2484.03, "word": " التعويض", "probability": 0.9310302734375}, {"start": 2484.03, "end": 2484.59, "word": " المباشر", "probability": 0.981689453125}, {"start": 2484.59, "end": 2485.05, "word": " يعطينا", "probability": 0.849365234375}, {"start": 2485.05, "end": 2485.35, "word": " Zero", "probability": 0.56787109375}, {"start": 2485.35, "end": 2485.69, "word": " على", "probability": 0.8486328125}, {"start": 2485.69, "end": 2486.31, "word": " Zero", "probability": 0.9638671875}, {"start": 2486.31, "end": 2488.29, "word": " يبقى", "probability": 0.7723388671875}, {"start": 2488.29, "end": 2489.53, "word": " نستخدم", "probability": 0.79559326171875}, {"start": 2489.53, "end": 2490.65, "word": " قاعدة", "probability": 0.970458984375}, {"start": 2490.65, "end": 2491.21, "word": " Lobital", "probability": 0.56756591796875}, {"start": 2491.21, "end": 2491.71, "word": " يبقى", "probability": 0.92333984375}, {"start": 2491.71, "end": 2492.19, "word": " limit", "probability": 0.59619140625}, {"start": 2492.19, "end": 2493.01, "word": " لما", "probability": 0.951416015625}, {"start": 2493.01, "end": 2493.23, "word": " ال", "probability": 0.79345703125}, {"start": 2493.23, "end": 2493.45, "word": " N", "probability": 0.9619140625}, {"start": 2493.45, "end": 2493.77, "word": " tends", "probability": 0.72607421875}, {"start": 2493.77, "end": 2494.07, "word": " to", "probability": 0.97265625}, {"start": 2494.07, "end": 2494.51, "word": " infinity", "probability": 0.83203125}, {"start": 2494.51, "end": 2495.15, "word": " تفضل", "probability": 0.8126220703125}, {"start": 2495.15, "end": 2495.91, "word": " التان", "probability": 0.61944580078125}], "temperature": 1.0}, {"id": 109, "seek": 251904, "start": 2507.5, "end": 2519.04, "text": "نختصر لاختصارات هادي مع السلامة بصير limit لما ال N tends to infinity لsec تربية 1 على N", "tokens": [1863, 46456, 9381, 2288, 5296, 47283, 2655, 9381, 9640, 9307, 8032, 995, 16254, 20449, 21136, 37440, 3660, 4724, 9381, 13546, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 8159, 6055, 25513, 10632, 502, 15844, 426], "avg_logprob": -0.35198481018478806, "compression_ratio": 1.1367521367521367, "no_speech_prob": 0.0, "words": [{"start": 2507.5, "end": 2508.68, "word": "نختصر", "probability": 0.73785400390625}, {"start": 2508.68, "end": 2509.62, "word": " لاختصارات", "probability": 0.829345703125}, {"start": 2509.62, "end": 2509.96, "word": " هادي", "probability": 0.615234375}, {"start": 2509.96, "end": 2510.24, "word": " مع", "probability": 0.9609375}, {"start": 2510.24, "end": 2511.22, "word": " السلامة", "probability": 0.9713541666666666}, {"start": 2511.22, "end": 2512.06, "word": " بصير", "probability": 0.5763346354166666}, {"start": 2512.06, "end": 2512.74, "word": " limit", "probability": 0.669921875}, {"start": 2512.74, "end": 2513.24, "word": " لما", "probability": 0.933349609375}, {"start": 2513.24, "end": 2513.46, "word": " ال", "probability": 0.90478515625}, {"start": 2513.46, "end": 2513.72, "word": " N", "probability": 0.3828125}, {"start": 2513.72, "end": 2514.12, "word": " tends", "probability": 0.7216796875}, {"start": 2514.12, "end": 2514.38, "word": " to", "probability": 0.90185546875}, {"start": 2514.38, "end": 2515.16, "word": " infinity", "probability": 0.84423828125}, {"start": 2515.16, "end": 2516.48, "word": " لsec", "probability": 0.5145263671875}, {"start": 2516.48, "end": 2517.48, "word": " تربية", "probability": 0.8370768229166666}, {"start": 2517.48, "end": 2518.06, "word": " 1", "probability": 0.53271484375}, {"start": 2518.06, "end": 2518.66, "word": " على", "probability": 0.61572265625}, {"start": 2518.66, "end": 2519.04, "word": " N", "probability": 0.85400390625}], "temperature": 1.0}, {"id": 110, "seek": 255128, "start": 2522.54, "end": 2551.28, "text": "زيرو سك الزيرو بواحد تربيع اللي هو بواحد كذلك اذا سوى الرقم والرقم اكبر من مين من الزيرو يبقى التنتين هذا اللي لهم بيبقى بعض يبقى باجي بقوله by the limit comparison test the series summation لتان واحد على M", "tokens": [11622, 13546, 2407, 8608, 4117, 2423, 11622, 13546, 2407, 4724, 14407, 24401, 6055, 2288, 21292, 3615, 13672, 1829, 31439, 4724, 14407, 24401, 9122, 8848, 23275, 1975, 15730, 8608, 2407, 7578, 34892, 4587, 2304, 16070, 2288, 4587, 2304, 1975, 4117, 26890, 9154, 3714, 9957, 9154, 2423, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 16712, 29399, 9957, 23758, 13672, 1829, 5296, 16095, 4724, 1829, 3555, 4587, 7578, 45030, 11242, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 538, 264, 4948, 9660, 1500, 264, 2638, 28811, 5296, 2655, 7649, 36764, 24401, 15844, 376], "avg_logprob": -0.31031584611503027, "compression_ratio": 1.71875, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2522.54, "end": 2523.3, "word": "زيرو", "probability": 0.4506632486979167}, {"start": 2523.3, "end": 2523.98, "word": " سك", "probability": 0.655029296875}, {"start": 2523.98, "end": 2524.96, "word": " الزيرو", "probability": 0.6077880859375}, {"start": 2524.96, "end": 2526.02, "word": " بواحد", "probability": 0.8798828125}, {"start": 2526.02, "end": 2527.34, "word": " تربيع", "probability": 0.68524169921875}, {"start": 2527.34, "end": 2528.18, "word": " اللي", "probability": 0.772705078125}, {"start": 2528.18, "end": 2528.4, "word": " هو", "probability": 0.98486328125}, {"start": 2528.4, "end": 2529.04, "word": " بواحد", "probability": 0.9794921875}, {"start": 2529.04, "end": 2529.68, "word": " كذلك", "probability": 0.91064453125}, {"start": 2529.68, "end": 2530.5, "word": " اذا", "probability": 0.6190185546875}, {"start": 2530.5, "end": 2531.32, "word": " سوى", "probability": 0.69287109375}, {"start": 2531.32, "end": 2531.84, "word": " الرقم", "probability": 0.9353841145833334}, {"start": 2531.84, "end": 2532.44, "word": " والرقم", "probability": 0.87158203125}, {"start": 2532.44, "end": 2532.94, "word": " اكبر", "probability": 0.9143880208333334}, {"start": 2532.94, "end": 2533.18, "word": " من", "probability": 0.9453125}, {"start": 2533.18, "end": 2533.56, "word": " مين", "probability": 0.735595703125}, {"start": 2533.56, "end": 2534.52, "word": " من", "probability": 0.556640625}, {"start": 2534.52, "end": 2535.48, "word": " الزيرو", "probability": 0.7689208984375}, {"start": 2535.48, "end": 2536.2, "word": " يبقى", "probability": 0.9500732421875}, {"start": 2536.2, "end": 2536.7, "word": " التنتين", "probability": 0.7815755208333334}, {"start": 2536.7, "end": 2536.88, "word": " هذا", "probability": 0.416259765625}, {"start": 2536.88, "end": 2537.02, "word": " اللي", "probability": 0.911376953125}, {"start": 2537.02, "end": 2537.48, "word": " لهم", "probability": 0.610595703125}, {"start": 2537.48, "end": 2538.48, "word": " بيبقى", "probability": 0.7658203125}, {"start": 2538.48, "end": 2538.64, "word": " بعض", "probability": 0.740234375}, {"start": 2538.64, "end": 2538.98, "word": " يبقى", "probability": 0.960693359375}, {"start": 2538.98, "end": 2539.36, "word": " باجي", "probability": 0.6314290364583334}, {"start": 2539.36, "end": 2540.12, "word": " بقوله", "probability": 0.7229817708333334}, {"start": 2540.12, "end": 2540.62, "word": " by", "probability": 0.63818359375}, {"start": 2540.62, "end": 2541.56, "word": " the", "probability": 0.83984375}, {"start": 2541.56, "end": 2542.66, "word": " limit", "probability": 0.8994140625}, {"start": 2542.66, "end": 2543.72, "word": " comparison", "probability": 0.77001953125}, {"start": 2543.72, "end": 2544.44, "word": " test", "probability": 0.9296875}, {"start": 2544.44, "end": 2545.06, "word": " the", "probability": 0.67822265625}, {"start": 2545.06, "end": 2545.94, "word": " series", "probability": 0.91357421875}, {"start": 2545.94, "end": 2548.02, "word": " summation", "probability": 0.763671875}, {"start": 2548.02, "end": 2549.66, "word": " لتان", "probability": 0.91357421875}, {"start": 2549.66, "end": 2550.38, "word": " واحد", "probability": 0.94970703125}, {"start": 2550.38, "end": 2550.8, "word": " على", "probability": 0.78466796875}, {"start": 2550.8, "end": 2551.28, "word": " M", "probability": 0.392822265625}], "temperature": 1.0}, {"id": 111, "seek": 257817, "start": 2554.61, "end": 2578.17, "text": "سؤال الرابع الرابع summation من N equal to infinity لواحد على N الجدرد تربية ل N تربية ناقص واحد واحد على مين؟", "tokens": [3794, 33604, 6027, 34892, 16758, 3615, 34892, 16758, 3615, 28811, 9154, 426, 2681, 281, 13202, 5296, 14407, 24401, 15844, 426, 25724, 3215, 2288, 3215, 6055, 25513, 10632, 5296, 426, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401, 36764, 24401, 15844, 3714, 9957, 22807], "avg_logprob": -0.3277777857250638, "compression_ratio": 1.3870967741935485, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2554.61, "end": 2556.01, "word": "سؤال", "probability": 0.7495930989583334}, {"start": 2556.01, "end": 2557.21, "word": " الرابع", "probability": 0.9410807291666666}, {"start": 2557.21, "end": 2560.69, "word": " الرابع", "probability": 0.8040364583333334}, {"start": 2560.69, "end": 2561.63, "word": " summation", "probability": 0.189453125}, {"start": 2561.63, "end": 2563.09, "word": " من", "probability": 0.89697265625}, {"start": 2563.09, "end": 2563.53, "word": " N", "probability": 0.314453125}, {"start": 2563.53, "end": 2564.23, "word": " equal", "probability": 0.51318359375}, {"start": 2564.23, "end": 2564.77, "word": " to", "probability": 0.66015625}, {"start": 2564.77, "end": 2566.03, "word": " infinity", "probability": 0.3896484375}, {"start": 2566.03, "end": 2567.79, "word": " لواحد", "probability": 0.7726236979166666}, {"start": 2567.79, "end": 2568.49, "word": " على", "probability": 0.734375}, {"start": 2568.49, "end": 2568.99, "word": " N", "probability": 0.87353515625}, {"start": 2568.99, "end": 2570.21, "word": " الجدرد", "probability": 0.70709228515625}, {"start": 2570.21, "end": 2570.81, "word": " تربية", "probability": 0.7916666666666666}, {"start": 2570.81, "end": 2571.11, "word": " ل", "probability": 0.97802734375}, {"start": 2571.11, "end": 2571.41, "word": " N", "probability": 0.4541015625}, {"start": 2571.41, "end": 2572.15, "word": " تربية", "probability": 0.9656575520833334}, {"start": 2572.15, "end": 2573.49, "word": " ناقص", "probability": 0.983642578125}, {"start": 2573.49, "end": 2574.13, "word": " واحد", "probability": 0.962646484375}, {"start": 2574.13, "end": 2577.43, "word": " واحد", "probability": 0.94873046875}, {"start": 2577.43, "end": 2577.61, "word": " على", "probability": 0.78076171875}, {"start": 2577.61, "end": 2578.17, "word": " مين؟", "probability": 0.84814453125}], "temperature": 1.0}, {"id": 112, "seek": 260114, "start": 2581.94, "end": 2601.14, "text": "أحد الشباب يقترح انه نقارن مع واحد على ان بقوله تمام يبقى لمة المقدار هذا مقسوما على واحد على ان تقلع ان فور وتروح مع ان لتاع بصير واحد على الجذر واحد على ما لريهاية تبزينه وتبعت المقام بيفير", "tokens": [10721, 24401, 25124, 3555, 16758, 7251, 38149, 2288, 5016, 16472, 3224, 8717, 4587, 9640, 1863, 20449, 36764, 24401, 15844, 16472, 4724, 39648, 3224, 46811, 10943, 7251, 3555, 4587, 7578, 5296, 46007, 9673, 28543, 9640, 23758, 3714, 4587, 3794, 2407, 15042, 15844, 36764, 24401, 15844, 16472, 6055, 4587, 1211, 3615, 16472, 6156, 13063, 34683, 32887, 5016, 20449, 16472, 5296, 2655, 45761, 4724, 9381, 13546, 36764, 24401, 15844, 25724, 8848, 2288, 36764, 24401, 15844, 19446, 5296, 16572, 11296, 10632, 6055, 3555, 11622, 9957, 3224, 34683, 3555, 34268, 9673, 4587, 10943, 4724, 1829, 5172, 13546], "avg_logprob": -0.2819220366016511, "compression_ratio": 1.9545454545454546, "no_speech_prob": 0.0, "words": [{"start": 2581.94, "end": 2582.44, "word": "أحد", "probability": 0.817138671875}, {"start": 2582.44, "end": 2583.16, "word": " الشباب", "probability": 0.9903971354166666}, {"start": 2583.16, "end": 2584.0, "word": " يقترح", "probability": 0.95556640625}, {"start": 2584.0, "end": 2584.8, "word": " انه", "probability": 0.77197265625}, {"start": 2584.8, "end": 2585.3, "word": " نقارن", "probability": 0.8668212890625}, {"start": 2585.3, "end": 2585.5, "word": " مع", "probability": 0.919921875}, {"start": 2585.5, "end": 2585.92, "word": " واحد", "probability": 0.9365234375}, {"start": 2585.92, "end": 2586.06, "word": " على", "probability": 0.6171875}, {"start": 2586.06, "end": 2586.2, "word": " ان", "probability": 0.3974609375}, {"start": 2586.2, "end": 2586.74, "word": " بقوله", "probability": 0.7556966145833334}, {"start": 2586.74, "end": 2587.6, "word": " تمام", "probability": 0.98876953125}, {"start": 2587.6, "end": 2588.12, "word": " يبقى", "probability": 0.8349609375}, {"start": 2588.12, "end": 2588.48, "word": " لمة", "probability": 0.495361328125}, {"start": 2588.48, "end": 2589.1, "word": " المقدار", "probability": 0.7791341145833334}, {"start": 2589.1, "end": 2589.38, "word": " هذا", "probability": 0.5419921875}, {"start": 2589.38, "end": 2590.16, "word": " مقسوما", "probability": 0.82333984375}, {"start": 2590.16, "end": 2590.4, "word": " على", "probability": 0.89990234375}, {"start": 2590.4, "end": 2590.86, "word": " واحد", "probability": 0.989990234375}, {"start": 2590.86, "end": 2591.08, "word": " على", "probability": 0.8935546875}, {"start": 2591.08, "end": 2591.38, "word": " ان", "probability": 0.88818359375}, {"start": 2591.38, "end": 2592.08, "word": " تقلع", "probability": 0.7392578125}, {"start": 2592.08, "end": 2592.24, "word": " ان", "probability": 0.71337890625}, {"start": 2592.24, "end": 2592.64, "word": " فور", "probability": 0.6529541015625}, {"start": 2592.64, "end": 2593.04, "word": " وتروح", "probability": 0.81689453125}, {"start": 2593.04, "end": 2593.22, "word": " مع", "probability": 0.87841796875}, {"start": 2593.22, "end": 2593.52, "word": " ان", "probability": 0.89794921875}, {"start": 2593.52, "end": 2594.06, "word": " لتاع", "probability": 0.6434733072916666}, {"start": 2594.06, "end": 2594.8, "word": " بصير", "probability": 0.8489583333333334}, {"start": 2594.8, "end": 2595.46, "word": " واحد", "probability": 0.994140625}, {"start": 2595.46, "end": 2595.84, "word": " على", "probability": 0.9189453125}, {"start": 2595.84, "end": 2596.68, "word": " الجذر", "probability": 0.826171875}, {"start": 2596.68, "end": 2597.32, "word": " واحد", "probability": 0.890380859375}, {"start": 2597.32, "end": 2597.5, "word": " على", "probability": 0.9453125}, {"start": 2597.5, "end": 2597.6, "word": " ما", "probability": 0.77587890625}, {"start": 2597.6, "end": 2598.56, "word": " لريهاية", "probability": 0.5789794921875}, {"start": 2598.56, "end": 2599.7, "word": " تبزينه", "probability": 0.596875}, {"start": 2599.7, "end": 2600.06, "word": " وتبعت", "probability": 0.6866861979166666}, {"start": 2600.06, "end": 2600.48, "word": " المقام", "probability": 0.921875}, {"start": 2600.48, "end": 2601.14, "word": " بيفير", "probability": 0.6097412109375}], "temperature": 1.0}, {"id": 113, "seek": 262219, "start": 2602.57, "end": 2622.19, "text": "يبقى فشل الاختبار في الحكم مش اللي فشل الاختبار، والاختبار فشل بناءً على ال series اللي اختارها، يبقى اختياره في هذه الحالة اختيارًا خاطرًا، وعلى ال interviewer، يبقى الأقرب للحساب الذاتي اللي هو أحد على ال interviewer، ليش؟", "tokens": [1829, 3555, 4587, 7578, 6156, 8592, 1211, 2423, 47283, 2655, 3555, 9640, 8978, 21542, 24793, 37893, 13672, 1829, 6156, 8592, 1211, 2423, 47283, 2655, 3555, 9640, 12399, 16070, 47283, 2655, 3555, 9640, 6156, 8592, 1211, 44945, 16606, 14111, 15844, 2423, 2638, 13672, 1829, 1975, 46456, 9640, 11296, 12399, 7251, 3555, 4587, 7578, 1975, 9778, 31371, 9640, 3224, 8978, 29538, 21542, 6027, 3660, 1975, 9778, 31371, 9640, 14111, 995, 16490, 41193, 2288, 14111, 995, 12399, 4032, 3615, 23942, 2423, 4049, 260, 12399, 7251, 3555, 4587, 7578, 16247, 4587, 25513, 24976, 5016, 3794, 16758, 32545, 9307, 1829, 13672, 1829, 31439, 5551, 24401, 15844, 2423, 4049, 260, 12399, 32239, 8592, 22807], "avg_logprob": -0.18463303189758862, "compression_ratio": 2.0481283422459895, "no_speech_prob": 0.0, "words": [{"start": 2602.5699999999997, "end": 2603.39, "word": "يبقى", "probability": 0.8043212890625}, {"start": 2603.39, "end": 2603.97, "word": " فشل", "probability": 0.8857421875}, {"start": 2603.97, "end": 2605.31, "word": " الاختبار", "probability": 0.8689453125}, {"start": 2605.31, "end": 2605.85, "word": " في", "probability": 0.84765625}, {"start": 2605.85, "end": 2606.29, "word": " الحكم", "probability": 0.951171875}, {"start": 2606.29, "end": 2606.51, "word": " مش", "probability": 0.29931640625}, {"start": 2606.51, "end": 2606.73, "word": " اللي", "probability": 0.894775390625}, {"start": 2606.73, "end": 2607.11, "word": " فشل", "probability": 0.9903971354166666}, {"start": 2607.11, "end": 2608.43, "word": " الاختبار،", "probability": 0.88330078125}, {"start": 2608.43, "end": 2609.05, "word": " والاختبار", "probability": 0.90732421875}, {"start": 2609.05, "end": 2609.53, "word": " فشل", "probability": 0.9788411458333334}, {"start": 2609.53, "end": 2610.05, "word": " بناءً", "probability": 0.7913411458333334}, {"start": 2610.05, "end": 2610.25, "word": " على", "probability": 0.85009765625}, {"start": 2610.25, "end": 2610.41, "word": " ال", "probability": 0.873046875}, {"start": 2610.41, "end": 2610.71, "word": " series", "probability": 0.91162109375}, {"start": 2610.71, "end": 2610.91, "word": " اللي", "probability": 0.983154296875}, {"start": 2610.91, "end": 2611.95, "word": " اختارها،", "probability": 0.8890625}, {"start": 2611.95, "end": 2612.23, "word": " يبقى", "probability": 0.9918212890625}, {"start": 2612.23, "end": 2612.89, "word": " اختياره", "probability": 0.95625}, {"start": 2612.89, "end": 2613.01, "word": " في", "probability": 0.9794921875}, {"start": 2613.01, "end": 2613.25, "word": " هذه", "probability": 0.92041015625}, {"start": 2613.25, "end": 2613.65, "word": " الحالة", "probability": 0.9840494791666666}, {"start": 2613.65, "end": 2614.53, "word": " اختيارًا", "probability": 0.8323567708333334}, {"start": 2614.53, "end": 2616.55, "word": " خاطرًا،", "probability": 0.8922932942708334}, {"start": 2616.55, "end": 2616.93, "word": " وعلى", "probability": 0.685791015625}, {"start": 2616.93, "end": 2617.09, "word": " ال", "probability": 0.9404296875}, {"start": 2617.09, "end": 2618.17, "word": " interviewer،", "probability": 0.5259602864583334}, {"start": 2618.17, "end": 2618.55, "word": " يبقى", "probability": 0.994873046875}, {"start": 2618.55, "end": 2619.17, "word": " الأقرب", "probability": 0.9288736979166666}, {"start": 2619.17, "end": 2619.75, "word": " للحساب", "probability": 0.974853515625}, {"start": 2619.75, "end": 2620.13, "word": " الذاتي", "probability": 0.6212972005208334}, {"start": 2620.13, "end": 2620.31, "word": " اللي", "probability": 0.6702880859375}, {"start": 2620.31, "end": 2620.53, "word": " هو", "probability": 0.9765625}, {"start": 2620.53, "end": 2621.03, "word": " أحد", "probability": 0.7039794921875}, {"start": 2621.03, "end": 2621.23, "word": " على", "probability": 0.89794921875}, {"start": 2621.23, "end": 2621.35, "word": " ال", "probability": 0.73486328125}, {"start": 2621.35, "end": 2621.77, "word": " interviewer،", "probability": 0.9020182291666666}, {"start": 2621.77, "end": 2622.19, "word": " ليش؟", "probability": 0.9246419270833334}], "temperature": 1.0}, {"id": 114, "seek": 263843, "start": 2622.59, "end": 2638.43, "text": "أي الـ N و هذا جذر الـ N تربية و كمان N يبقى باجي بقول احنا بنعرف summation 1 على N تربية converge P series", "tokens": [10721, 1829, 2423, 39184, 426, 4032, 23758, 10874, 8848, 2288, 2423, 39184, 426, 6055, 25513, 10632, 4032, 9122, 2304, 7649, 426, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 1975, 5016, 8315, 44945, 3615, 28480, 28811, 502, 15844, 426, 6055, 25513, 10632, 41881, 430, 2638], "avg_logprob": -0.3161569288436403, "compression_ratio": 1.248062015503876, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2622.59, "end": 2623.37, "word": "أي", "probability": 0.50531005859375}, {"start": 2623.37, "end": 2623.69, "word": " الـ", "probability": 0.5751953125}, {"start": 2623.69, "end": 2623.95, "word": " N", "probability": 0.44775390625}, {"start": 2623.95, "end": 2624.49, "word": " و", "probability": 0.288330078125}, {"start": 2624.49, "end": 2624.87, "word": " هذا", "probability": 0.6865234375}, {"start": 2624.87, "end": 2625.37, "word": " جذر", "probability": 0.7506510416666666}, {"start": 2625.37, "end": 2625.65, "word": " الـ", "probability": 0.7890625}, {"start": 2625.65, "end": 2625.85, "word": " N", "probability": 0.67333984375}, {"start": 2625.85, "end": 2626.21, "word": " تربية", "probability": 0.8824869791666666}, {"start": 2626.21, "end": 2626.39, "word": " و", "probability": 0.646484375}, {"start": 2626.39, "end": 2626.89, "word": " كمان", "probability": 0.84033203125}, {"start": 2626.89, "end": 2627.39, "word": " N", "probability": 0.463134765625}, {"start": 2627.39, "end": 2628.43, "word": " يبقى", "probability": 0.9805908203125}, {"start": 2628.43, "end": 2629.31, "word": " باجي", "probability": 0.8352864583333334}, {"start": 2629.31, "end": 2629.65, "word": " بقول", "probability": 0.9013671875}, {"start": 2629.65, "end": 2629.97, "word": " احنا", "probability": 0.7196044921875}, {"start": 2629.97, "end": 2630.59, "word": " بنعرف", "probability": 0.9386393229166666}, {"start": 2630.59, "end": 2631.47, "word": " summation", "probability": 0.59375}, {"start": 2631.47, "end": 2632.51, "word": " 1", "probability": 0.62939453125}, {"start": 2632.51, "end": 2632.93, "word": " على", "probability": 0.64453125}, {"start": 2632.93, "end": 2633.33, "word": " N", "probability": 0.94970703125}, {"start": 2633.33, "end": 2633.79, "word": " تربية", "probability": 0.9708658854166666}, {"start": 2633.79, "end": 2634.77, "word": " converge", "probability": 0.8427734375}, {"start": 2634.77, "end": 2636.07, "word": " P", "probability": 0.775390625}, {"start": 2636.07, "end": 2638.43, "word": " series", "probability": 0.6923828125}], "temperature": 1.0}, {"id": 115, "seek": 266511, "start": 2640.01, "end": 2665.11, "text": "بسبب أن P يساوي 2 أكبر من الواحدة الصحية نروح ناخد limit لما ال N tends to infinity لواحد على N الجدرى التربية ل N square minus one كله بدا يقسم على واحد على N تربية يساوي limit لما ال N tends to infinity", "tokens": [3555, 35457, 3555, 14739, 430, 7251, 3794, 995, 45865, 568, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 3660, 31767, 5016, 10632, 8717, 32887, 5016, 8717, 47283, 3215, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 14407, 24401, 15844, 426, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 5296, 426, 3732, 3175, 472, 28242, 3224, 4724, 28259, 7251, 4587, 38251, 15844, 36764, 24401, 15844, 426, 6055, 25513, 10632, 7251, 3794, 995, 45865, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202], "avg_logprob": -0.30292969197034836, "compression_ratio": 1.6795580110497237, "no_speech_prob": 0.0, "words": [{"start": 2640.01, "end": 2641.09, "word": "بسبب", "probability": 0.65869140625}, {"start": 2641.09, "end": 2642.17, "word": " أن", "probability": 0.31982421875}, {"start": 2642.17, "end": 2642.95, "word": " P", "probability": 0.81689453125}, {"start": 2642.95, "end": 2644.47, "word": " يساوي", "probability": 0.581512451171875}, {"start": 2644.47, "end": 2645.15, "word": " 2", "probability": 0.771484375}, {"start": 2645.15, "end": 2645.89, "word": " أكبر", "probability": 0.91455078125}, {"start": 2645.89, "end": 2646.09, "word": " من", "probability": 0.98095703125}, {"start": 2646.09, "end": 2646.67, "word": " الواحدة", "probability": 0.65545654296875}, {"start": 2646.67, "end": 2647.49, "word": " الصحية", "probability": 0.8697916666666666}, {"start": 2647.49, "end": 2648.27, "word": " نروح", "probability": 0.5736083984375}, {"start": 2648.27, "end": 2648.81, "word": " ناخد", "probability": 0.955078125}, {"start": 2648.81, "end": 2649.37, "word": " limit", "probability": 0.619140625}, {"start": 2649.37, "end": 2650.21, "word": " لما", "probability": 0.830810546875}, {"start": 2650.21, "end": 2650.45, "word": " ال", "probability": 0.87451171875}, {"start": 2650.45, "end": 2650.71, "word": " N", "probability": 0.619140625}, {"start": 2650.71, "end": 2651.09, "word": " tends", "probability": 0.325927734375}, {"start": 2651.09, "end": 2651.37, "word": " to", "probability": 0.91748046875}, {"start": 2651.37, "end": 2652.11, "word": " infinity", "probability": 0.82373046875}, {"start": 2652.11, "end": 2653.49, "word": " لواحد", "probability": 0.762939453125}, {"start": 2653.49, "end": 2653.79, "word": " على", "probability": 0.68701171875}, {"start": 2653.79, "end": 2654.17, "word": " N", "probability": 0.25830078125}, {"start": 2654.17, "end": 2654.79, "word": " الجدرى", "probability": 0.7391357421875}, {"start": 2654.79, "end": 2655.33, "word": " التربية", "probability": 0.9168294270833334}, {"start": 2655.33, "end": 2655.53, "word": " ل", "probability": 0.87841796875}, {"start": 2655.53, "end": 2655.77, "word": " N", "probability": 0.66162109375}, {"start": 2655.77, "end": 2656.23, "word": " square", "probability": 0.35693359375}, {"start": 2656.23, "end": 2656.69, "word": " minus", "probability": 0.841796875}, {"start": 2656.69, "end": 2657.31, "word": " one", "probability": 0.7275390625}, {"start": 2657.31, "end": 2658.13, "word": " كله", "probability": 0.90576171875}, {"start": 2658.13, "end": 2658.41, "word": " بدا", "probability": 0.49609375}, {"start": 2658.41, "end": 2658.75, "word": " يقسم", "probability": 0.8561197916666666}, {"start": 2658.75, "end": 2659.03, "word": " على", "probability": 0.8671875}, {"start": 2659.03, "end": 2659.55, "word": " واحد", "probability": 0.966552734375}, {"start": 2659.55, "end": 2659.99, "word": " على", "probability": 0.86279296875}, {"start": 2659.99, "end": 2660.57, "word": " N", "probability": 0.9599609375}, {"start": 2660.57, "end": 2661.29, "word": " تربية", "probability": 0.8271484375}, {"start": 2661.29, "end": 2662.35, "word": " يساوي", "probability": 0.81390380859375}, {"start": 2662.35, "end": 2662.95, "word": " limit", "probability": 0.81982421875}, {"start": 2662.95, "end": 2663.41, "word": " لما", "probability": 0.971435546875}, {"start": 2663.41, "end": 2663.61, "word": " ال", "probability": 0.916015625}, {"start": 2663.61, "end": 2663.91, "word": " N", "probability": 0.96875}, {"start": 2663.91, "end": 2664.19, "word": " tends", "probability": 0.83349609375}, {"start": 2664.19, "end": 2664.49, "word": " to", "probability": 0.97314453125}, {"start": 2664.49, "end": 2665.11, "word": " infinity", "probability": 0.888671875}], "temperature": 1.0}, {"id": 116, "seek": 268346, "start": 2665.44, "end": 2683.46, "text": "لمن؟ لل N على الجدرى التربية ل N تربية ناقصها جلبناها طلعت فوق اختصت مع ال N اللي تعثر بالشكل هذا الان تعاود مباشر بيعطيني infinity على infinity ياما بستخدم قاعدة لوميتال", "tokens": [1211, 27842, 22807, 24976, 426, 15844, 25724, 3215, 2288, 7578, 16712, 2288, 21292, 3660, 5296, 426, 6055, 2288, 21292, 3660, 8717, 995, 4587, 9381, 11296, 10874, 46152, 8315, 11296, 23032, 1211, 34268, 6156, 30543, 1975, 46456, 9381, 2655, 20449, 2423, 426, 13672, 1829, 37279, 49115, 20666, 8592, 28820, 23758, 2423, 7649, 37279, 995, 23328, 3714, 3555, 33599, 2288, 4724, 1829, 3615, 9566, 9957, 1829, 13202, 15844, 13202, 7251, 10943, 995, 4724, 14851, 9778, 40448, 12174, 995, 22488, 3660, 5296, 20498, 36081, 6027], "avg_logprob": -0.272966857416084, "compression_ratio": 1.6201117318435754, "no_speech_prob": 0.0, "words": [{"start": 2665.44, "end": 2666.4, "word": "لمن؟", "probability": 0.5680338541666666}, {"start": 2666.4, "end": 2666.8, "word": " لل", "probability": 0.40673828125}, {"start": 2666.8, "end": 2667.32, "word": " N", "probability": 0.5029296875}, {"start": 2667.32, "end": 2667.74, "word": " على", "probability": 0.81982421875}, {"start": 2667.74, "end": 2668.44, "word": " الجدرى", "probability": 0.739990234375}, {"start": 2668.44, "end": 2669.08, "word": " التربية", "probability": 0.7091064453125}, {"start": 2669.08, "end": 2669.3, "word": " ل", "probability": 0.7939453125}, {"start": 2669.3, "end": 2669.62, "word": " N", "probability": 0.34033203125}, {"start": 2669.62, "end": 2670.18, "word": " تربية", "probability": 0.8505859375}, {"start": 2670.18, "end": 2670.98, "word": " ناقصها", "probability": 0.94189453125}, {"start": 2670.98, "end": 2672.3, "word": " جلبناها", "probability": 0.88916015625}, {"start": 2672.3, "end": 2672.72, "word": " طلعت", "probability": 0.75732421875}, {"start": 2672.72, "end": 2673.18, "word": " فوق", "probability": 0.95751953125}, {"start": 2673.18, "end": 2674.18, "word": " اختصت", "probability": 0.92822265625}, {"start": 2674.18, "end": 2674.36, "word": " مع", "probability": 0.94482421875}, {"start": 2674.36, "end": 2674.48, "word": " ال", "probability": 0.95703125}, {"start": 2674.48, "end": 2674.66, "word": " N", "probability": 0.93359375}, {"start": 2674.66, "end": 2674.82, "word": " اللي", "probability": 0.814208984375}, {"start": 2674.82, "end": 2675.34, "word": " تعثر", "probability": 0.5291748046875}, {"start": 2675.34, "end": 2675.88, "word": " بالشكل", "probability": 0.9541015625}, {"start": 2675.88, "end": 2676.24, "word": " هذا", "probability": 0.93505859375}, {"start": 2676.24, "end": 2676.98, "word": " الان", "probability": 0.6583251953125}, {"start": 2676.98, "end": 2677.46, "word": " تعاود", "probability": 0.81201171875}, {"start": 2677.46, "end": 2677.98, "word": " مباشر", "probability": 0.98779296875}, {"start": 2677.98, "end": 2678.54, "word": " بيعطيني", "probability": 0.7890218098958334}, {"start": 2678.54, "end": 2679.08, "word": " infinity", "probability": 0.4736328125}, {"start": 2679.08, "end": 2679.68, "word": " على", "probability": 0.8076171875}, {"start": 2679.68, "end": 2680.48, "word": " infinity", "probability": 0.8505859375}, {"start": 2680.48, "end": 2681.56, "word": " ياما", "probability": 0.5367838541666666}, {"start": 2681.56, "end": 2682.22, "word": " بستخدم", "probability": 0.85205078125}, {"start": 2682.22, "end": 2682.84, "word": " قاعدة", "probability": 0.9827880859375}, {"start": 2682.84, "end": 2683.46, "word": " لوميتال", "probability": 0.70867919921875}], "temperature": 1.0}, {"id": 117, "seek": 270682, "start": 2683.88, "end": 2706.82, "text": "يا إما بجسم البص والمقام على إن المرفوع عليه أكبر Os في المقام يعني جدوش على إن وليس على إن تربيها لإن وإن تربيها تحت الجدر التربيعي إذا لو جسمنا كل من البص والمقام على إن بصير عندي واحد هنا لما أجسمها إن هدخلها تحت الجدر", "tokens": [25528, 11933, 15042, 4724, 7435, 38251, 29739, 9381, 16070, 2304, 4587, 10943, 15844, 36145, 9673, 28480, 45367, 47356, 5551, 4117, 26890, 8875, 8978, 9673, 4587, 10943, 37495, 22653, 10874, 3215, 2407, 8592, 15844, 36145, 4032, 20292, 3794, 15844, 36145, 6055, 2288, 21292, 11296, 5296, 28814, 1863, 4032, 28814, 1863, 6055, 2288, 21292, 11296, 6055, 33753, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 1829, 11933, 15730, 45164, 10874, 38251, 8315, 28242, 9154, 29739, 9381, 16070, 2304, 4587, 10943, 15844, 36145, 4724, 9381, 13546, 18871, 16254, 36764, 24401, 34105, 5296, 15042, 5551, 7435, 38251, 11296, 36145, 8032, 3215, 9778, 1211, 11296, 6055, 33753, 25724, 3215, 2288], "avg_logprob": -0.22693452608017695, "compression_ratio": 2.17032967032967, "no_speech_prob": 0.0, "words": [{"start": 2683.88, "end": 2684.36, "word": "يا", "probability": 0.2646484375}, {"start": 2684.36, "end": 2684.62, "word": " إما", "probability": 0.52178955078125}, {"start": 2684.62, "end": 2685.2, "word": " بجسم", "probability": 0.9073893229166666}, {"start": 2685.2, "end": 2685.64, "word": " البص", "probability": 0.89892578125}, {"start": 2685.64, "end": 2686.24, "word": " والمقام", "probability": 0.828857421875}, {"start": 2686.24, "end": 2686.48, "word": " على", "probability": 0.6435546875}, {"start": 2686.48, "end": 2686.62, "word": " إن", "probability": 0.40185546875}, {"start": 2686.62, "end": 2687.14, "word": " المرفوع", "probability": 0.8551432291666666}, {"start": 2687.14, "end": 2687.3, "word": " عليه", "probability": 0.2587890625}, {"start": 2687.3, "end": 2687.7, "word": " أكبر", "probability": 0.9788411458333334}, {"start": 2687.7, "end": 2688.18, "word": " Os", "probability": 0.235107421875}, {"start": 2688.18, "end": 2688.48, "word": " في", "probability": 0.93212890625}, {"start": 2688.48, "end": 2689.3, "word": " المقام", "probability": 0.9703776041666666}, {"start": 2689.3, "end": 2690.12, "word": " يعني", "probability": 0.6767578125}, {"start": 2690.12, "end": 2690.8, "word": " جدوش", "probability": 0.68035888671875}, {"start": 2690.8, "end": 2691.6, "word": " على", "probability": 0.41943359375}, {"start": 2691.6, "end": 2691.84, "word": " إن", "probability": 0.88330078125}, {"start": 2691.84, "end": 2692.56, "word": " وليس", "probability": 0.9661458333333334}, {"start": 2692.56, "end": 2692.82, "word": " على", "probability": 0.8486328125}, {"start": 2692.82, "end": 2693.04, "word": " إن", "probability": 0.81201171875}, {"start": 2693.04, "end": 2693.4, "word": " تربيها", "probability": 0.6292724609375}, {"start": 2693.4, "end": 2693.66, "word": " لإن", "probability": 0.7194010416666666}, {"start": 2693.66, "end": 2693.9, "word": " وإن", "probability": 0.9645182291666666}, {"start": 2693.9, "end": 2694.42, "word": " تربيها", "probability": 0.9617919921875}, {"start": 2694.42, "end": 2694.82, "word": " تحت", "probability": 0.99365234375}, {"start": 2694.82, "end": 2695.24, "word": " الجدر", "probability": 0.81689453125}, {"start": 2695.24, "end": 2696.14, "word": " التربيعي", "probability": 0.93115234375}, {"start": 2696.14, "end": 2696.92, "word": " إذا", "probability": 0.6978759765625}, {"start": 2696.92, "end": 2697.18, "word": " لو", "probability": 0.93408203125}, {"start": 2697.18, "end": 2697.78, "word": " جسمنا", "probability": 0.9886067708333334}, {"start": 2697.78, "end": 2698.2, "word": " كل", "probability": 0.98388671875}, {"start": 2698.2, "end": 2698.56, "word": " من", "probability": 0.5888671875}, {"start": 2698.56, "end": 2699.14, "word": " البص", "probability": 0.9697265625}, {"start": 2699.14, "end": 2700.22, "word": " والمقام", "probability": 0.965087890625}, {"start": 2700.22, "end": 2700.8, "word": " على", "probability": 0.9228515625}, {"start": 2700.8, "end": 2701.22, "word": " إن", "probability": 0.822265625}, {"start": 2701.22, "end": 2701.72, "word": " بصير", "probability": 0.7998046875}, {"start": 2701.72, "end": 2702.16, "word": " عندي", "probability": 0.7435302734375}, {"start": 2702.16, "end": 2702.68, "word": " واحد", "probability": 0.98974609375}, {"start": 2702.68, "end": 2703.68, "word": " هنا", "probability": 0.56494140625}, {"start": 2703.68, "end": 2703.96, "word": " لما", "probability": 0.947509765625}, {"start": 2703.96, "end": 2704.66, "word": " أجسمها", "probability": 0.9263916015625}, {"start": 2704.66, "end": 2704.86, "word": " إن", "probability": 0.6943359375}, {"start": 2704.86, "end": 2705.66, "word": " هدخلها", "probability": 0.90185546875}, {"start": 2705.66, "end": 2706.16, "word": " تحت", "probability": 0.996826171875}, {"start": 2706.16, "end": 2706.82, "word": " الجدر", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 118, "seek": 273534, "start": 2707.24, "end": 2735.34, "text": "تدخل تحت الجدر بإن تربية بصير ال square root ل واحد ناقص واحد على إن تربية هذا ب zero والنتيجة يستوي واحد الأولية converge إذا التانية مالها يبقى باجي بقوله by the limit comparison test the series summation واحد على إن الجدر التربي لإن square minus one", "tokens": [2655, 3215, 9778, 1211, 6055, 33753, 25724, 3215, 2288, 4724, 28814, 1863, 6055, 25513, 10632, 4724, 9381, 13546, 2423, 3732, 5593, 5296, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 11933, 1863, 6055, 25513, 10632, 23758, 4724, 4018, 16070, 29399, 1829, 7435, 3660, 7251, 14851, 45865, 36764, 24401, 16247, 12610, 10632, 41881, 11933, 15730, 16712, 7649, 10632, 3714, 6027, 11296, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 538, 264, 4948, 9660, 1500, 264, 2638, 28811, 36764, 24401, 15844, 36145, 25724, 3215, 2288, 16712, 2288, 21292, 5296, 28814, 1863, 3732, 3175, 472], "avg_logprob": -0.2856445328022043, "compression_ratio": 1.6814159292035398, "no_speech_prob": 0.0, "words": [{"start": 2707.24, "end": 2707.84, "word": "تدخل", "probability": 0.7991943359375}, {"start": 2707.84, "end": 2708.2, "word": " تحت", "probability": 0.980224609375}, {"start": 2708.2, "end": 2708.64, "word": " الجدر", "probability": 0.9013671875}, {"start": 2708.64, "end": 2709.18, "word": " بإن", "probability": 0.4114583333333333}, {"start": 2709.18, "end": 2709.76, "word": " تربية", "probability": 0.7838541666666666}, {"start": 2709.76, "end": 2710.62, "word": " بصير", "probability": 0.6739095052083334}, {"start": 2710.62, "end": 2710.78, "word": " ال", "probability": 0.29638671875}, {"start": 2710.78, "end": 2711.22, "word": " square", "probability": 0.44921875}, {"start": 2711.22, "end": 2711.94, "word": " root", "probability": 0.7578125}, {"start": 2711.94, "end": 2712.14, "word": " ل", "probability": 0.6103515625}, {"start": 2712.14, "end": 2712.76, "word": " واحد", "probability": 0.6748046875}, {"start": 2712.76, "end": 2713.44, "word": " ناقص", "probability": 0.9578857421875}, {"start": 2713.44, "end": 2714.0, "word": " واحد", "probability": 0.9775390625}, {"start": 2714.0, "end": 2714.32, "word": " على", "probability": 0.8310546875}, {"start": 2714.32, "end": 2714.84, "word": " إن", "probability": 0.3695068359375}, {"start": 2714.84, "end": 2715.38, "word": " تربية", "probability": 0.9737955729166666}, {"start": 2715.38, "end": 2716.44, "word": " هذا", "probability": 0.77685546875}, {"start": 2716.44, "end": 2716.62, "word": " ب", "probability": 0.406494140625}, {"start": 2716.62, "end": 2716.94, "word": " zero", "probability": 0.284423828125}, {"start": 2716.94, "end": 2717.7, "word": " والنتيجة", "probability": 0.91904296875}, {"start": 2717.7, "end": 2718.22, "word": " يستوي", "probability": 0.8826497395833334}, {"start": 2718.22, "end": 2718.52, "word": " واحد", "probability": 0.9833984375}, {"start": 2718.52, "end": 2719.2, "word": " الأولية", "probability": 0.6870930989583334}, {"start": 2719.2, "end": 2719.82, "word": " converge", "probability": 0.210693359375}, {"start": 2719.82, "end": 2720.06, "word": " إذا", "probability": 0.778076171875}, {"start": 2720.06, "end": 2720.66, "word": " التانية", "probability": 0.8717447916666666}, {"start": 2720.66, "end": 2721.22, "word": " مالها", "probability": 0.7145182291666666}, {"start": 2721.22, "end": 2722.52, "word": " يبقى", "probability": 0.906005859375}, {"start": 2722.52, "end": 2722.88, "word": " باجي", "probability": 0.8308919270833334}, {"start": 2722.88, "end": 2723.58, "word": " بقوله", "probability": 0.8868815104166666}, {"start": 2723.58, "end": 2724.04, "word": " by", "probability": 0.76611328125}, {"start": 2724.04, "end": 2724.58, "word": " the", "probability": 0.86181640625}, {"start": 2724.58, "end": 2725.4, "word": " limit", "probability": 0.92626953125}, {"start": 2725.4, "end": 2726.24, "word": " comparison", "probability": 0.8935546875}, {"start": 2726.24, "end": 2726.98, "word": " test", "probability": 0.935546875}, {"start": 2726.98, "end": 2727.9, "word": " the", "probability": 0.67822265625}, {"start": 2727.9, "end": 2728.94, "word": " series", "probability": 0.84716796875}, {"start": 2728.94, "end": 2730.78, "word": " summation", "probability": 0.78466796875}, {"start": 2730.78, "end": 2732.04, "word": " واحد", "probability": 0.929931640625}, {"start": 2732.04, "end": 2732.32, "word": " على", "probability": 0.89697265625}, {"start": 2732.32, "end": 2732.64, "word": " إن", "probability": 0.70361328125}, {"start": 2732.64, "end": 2733.22, "word": " الجدر", "probability": 0.9609375}, {"start": 2733.22, "end": 2733.7, "word": " التربي", "probability": 0.7879231770833334}, {"start": 2733.7, "end": 2734.06, "word": " لإن", "probability": 0.7967122395833334}, {"start": 2734.06, "end": 2734.42, "word": " square", "probability": 0.755859375}, {"start": 2734.42, "end": 2734.82, "word": " minus", "probability": 0.9736328125}, {"start": 2734.82, "end": 2735.34, "word": " one", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 119, "seek": 276166, "start": 2735.72, "end": 2761.66, "text": "converge كذلك سؤال الخامس summation من N equal one to infinity لواحد على واحد زائد ضمن ال N", "tokens": [1671, 331, 432, 9122, 8848, 23275, 8608, 33604, 6027, 33962, 10943, 3794, 28811, 9154, 426, 2681, 472, 281, 13202, 5296, 14407, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 48812, 27842, 2423, 426], "avg_logprob": -0.2935606060606061, "compression_ratio": 1.1130434782608696, "no_speech_prob": 0.0, "words": [{"start": 2735.72, "end": 2737.14, "word": "converge", "probability": 0.6590169270833334}, {"start": 2737.14, "end": 2737.82, "word": " كذلك", "probability": 0.9085286458333334}, {"start": 2737.82, "end": 2745.38, "word": " سؤال", "probability": 0.8577473958333334}, {"start": 2745.38, "end": 2746.08, "word": " الخامس", "probability": 0.9347330729166666}, {"start": 2746.08, "end": 2747.64, "word": " summation", "probability": 0.32177734375}, {"start": 2747.64, "end": 2748.76, "word": " من", "probability": 0.9130859375}, {"start": 2748.76, "end": 2749.22, "word": " N", "probability": 0.38818359375}, {"start": 2749.22, "end": 2750.36, "word": " equal", "probability": 0.22119140625}, {"start": 2750.36, "end": 2751.18, "word": " one", "probability": 0.77294921875}, {"start": 2751.18, "end": 2753.44, "word": " to", "probability": 0.364990234375}, {"start": 2753.44, "end": 2756.16, "word": " infinity", "probability": 0.8017578125}, {"start": 2756.16, "end": 2757.72, "word": " لواحد", "probability": 0.78125}, {"start": 2757.72, "end": 2758.4, "word": " على", "probability": 0.76318359375}, {"start": 2758.4, "end": 2759.22, "word": " واحد", "probability": 0.982666015625}, {"start": 2759.22, "end": 2760.48, "word": " زائد", "probability": 0.90185546875}, {"start": 2760.48, "end": 2760.94, "word": " ضمن", "probability": 0.757568359375}, {"start": 2760.94, "end": 2761.28, "word": " ال", "probability": 0.92919921875}, {"start": 2761.28, "end": 2761.66, "word": " N", "probability": 0.72998046875}], "temperature": 1.0}, {"id": 120, "seek": 279259, "start": 2766.55, "end": 2792.59, "text": "خلّوا يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه", "tokens": [9778, 1211, 11703, 14407, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224, 7251, 3555, 995, 31747, 14407, 34105, 16490, 1211, 11703, 2407, 3224], "avg_logprob": -0.07006944232516818, "compression_ratio": 13.673469387755102, "no_speech_prob": 0.0, "words": [{"start": 2766.55, "end": 2766.87, "word": "خلّوا", "probability": 0.601898193359375}, {"start": 2766.87, "end": 2767.23, "word": " يباركوا", "probability": 0.60185546875}, {"start": 2767.23, "end": 2767.45, "word": " هنا", "probability": 0.81787109375}, {"start": 2767.45, "end": 2770.87, "word": " خلّوه", "probability": 0.657861328125}, {"start": 2770.87, "end": 2771.23, "word": " يباركوا", "probability": 0.731005859375}, {"start": 2771.23, "end": 2771.47, "word": " هنا", "probability": 0.75732421875}, {"start": 2771.47, "end": 2771.47, "word": " خلّوه", "probability": 0.904296875}, {"start": 2771.47, "end": 2771.47, "word": " يباركوا", "probability": 0.9640625}, {"start": 2771.47, "end": 2771.47, "word": " هنا", "probability": 0.9853515625}, {"start": 2771.47, "end": 2771.47, "word": " خلّوه", "probability": 0.96533203125}, {"start": 2771.47, "end": 2771.47, "word": " يباركوا", "probability": 0.97470703125}, {"start": 2771.47, "end": 2771.47, "word": " هنا", "probability": 0.9912109375}, {"start": 2771.47, "end": 2771.47, "word": " خلّوه", "probability": 0.9529296875}, {"start": 2771.47, "end": 2771.47, "word": " يباركوا", "probability": 0.97392578125}, {"start": 2771.47, "end": 2771.47, "word": " هنا", "probability": 0.99365234375}, {"start": 2771.47, "end": 2771.47, "word": " خلّوه", "probability": 0.9630859375}, {"start": 2771.47, "end": 2771.47, "word": " يباركوا", "probability": 0.9712890625}, {"start": 2771.47, "end": 2771.47, "word": " هنا", "probability": 0.99462890625}, {"start": 2771.47, "end": 2771.47, "word": " خلّوه", "probability": 0.97841796875}, {"start": 2771.47, "end": 2771.47, "word": " يباركوا", "probability": 0.9712890625}, {"start": 2771.47, "end": 2771.67, "word": " هنا", "probability": 0.9951171875}, {"start": 2771.67, "end": 2771.67, "word": " خلّوه", "probability": 0.98603515625}, {"start": 2771.67, "end": 2771.67, "word": " يباركوا", "probability": 0.97158203125}, {"start": 2771.67, "end": 2771.95, "word": " هنا", "probability": 0.9951171875}, {"start": 2771.95, "end": 2771.95, "word": " خلّوه", "probability": 0.9888671875}, {"start": 2771.95, "end": 2771.95, "word": " يباركوا", "probability": 0.9712890625}, {"start": 2771.95, "end": 2771.97, "word": " هنا", "probability": 0.99560546875}, {"start": 2771.97, "end": 2772.67, "word": " خلّوه", "probability": 0.9900390625}, {"start": 2772.67, "end": 2772.67, "word": " يباركوا", "probability": 0.971875}, {"start": 2772.67, "end": 2772.67, "word": " هنا", "probability": 0.99560546875}, {"start": 2772.67, "end": 2773.39, "word": " خلّوه", "probability": 0.99072265625}, {"start": 2773.39, "end": 2774.15, "word": " يباركوا", "probability": 0.97197265625}, {"start": 2774.15, "end": 2774.15, "word": " هنا", "probability": 0.99560546875}, {"start": 2774.15, "end": 2774.39, "word": " خلّوه", "probability": 0.991015625}, {"start": 2774.39, "end": 2774.93, "word": " يباركوا", "probability": 0.97275390625}, {"start": 2774.93, "end": 2775.95, "word": " هنا", "probability": 0.99560546875}, {"start": 2775.95, "end": 2775.95, "word": " خلّوه", "probability": 0.99130859375}, {"start": 2775.95, "end": 2775.95, "word": " يباركوا", "probability": 0.97109375}, {"start": 2775.95, "end": 2775.95, "word": " هنا", "probability": 0.99560546875}, {"start": 2775.95, "end": 2775.95, "word": " خلّوه", "probability": 0.9916015625}, {"start": 2775.95, "end": 2775.95, "word": " يباركوا", "probability": 0.9716796875}, {"start": 2775.95, "end": 2775.97, "word": " هنا", "probability": 0.99560546875}, {"start": 2775.97, "end": 2775.97, "word": " خلّوه", "probability": 0.991796875}, {"start": 2775.97, "end": 2775.97, "word": " يباركوا", "probability": 0.97236328125}, {"start": 2775.97, "end": 2775.97, "word": " هنا", "probability": 0.99560546875}, {"start": 2775.97, "end": 2775.97, "word": " خلّوه", "probability": 0.991796875}, {"start": 2775.97, "end": 2775.97, "word": " يباركوا", "probability": 0.9724609375}, {"start": 2775.97, "end": 2775.99, "word": " هنا", "probability": 0.99560546875}, {"start": 2775.99, "end": 2776.57, "word": " خلّوه", "probability": 0.99189453125}, {"start": 2776.57, "end": 2776.69, "word": " يباركوا", "probability": 0.974609375}, {"start": 2776.69, "end": 2776.69, "word": " هنا", "probability": 0.99560546875}, {"start": 2776.69, "end": 2777.47, "word": " خلّوه", "probability": 0.9912109375}, {"start": 2777.47, "end": 2777.87, "word": " يباركوا", "probability": 0.97587890625}, {"start": 2777.87, "end": 2777.87, "word": " هنا", "probability": 0.9951171875}, {"start": 2777.87, "end": 2779.11, "word": " خلّوه", "probability": 0.990625}, {"start": 2779.11, "end": 2779.63, "word": " يباركوا", "probability": 0.97724609375}, {"start": 2779.63, "end": 2779.63, "word": " هنا", "probability": 0.99462890625}, {"start": 2779.63, "end": 2780.09, "word": " خلّوه", "probability": 0.98955078125}, {"start": 2780.09, "end": 2785.81, "word": " يباركوا", "probability": 0.97978515625}, {"start": 2785.81, "end": 2786.03, "word": " هنا", "probability": 0.994140625}, {"start": 2786.03, "end": 2792.59, "word": " خلّوه", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 121, "seek": 282159, "start": 2793.13, "end": 2821.59, "text": "يبقى لما أقعد أطلع في المثل هذه بلاحظ أنه أقرب series عليها من اللي احنا عارفينهم واحد علي N مظبوط، بنجرب، ضبطت، أهل الوسالة، ما ضبطت، بنقوا، هنغيرها، الشغل في بيننا، إذاً بدي أجرب summation واحد علي N اللي هي diverse harmonic series", "tokens": [1829, 3555, 4587, 7578, 5296, 15042, 5551, 4587, 22488, 5551, 9566, 1211, 3615, 8978, 9673, 12984, 1211, 29538, 4724, 15040, 5016, 19913, 14739, 3224, 5551, 4587, 25513, 2638, 25894, 11296, 9154, 13672, 1829, 1975, 5016, 8315, 6225, 9640, 5172, 9957, 16095, 36764, 24401, 25894, 426, 3714, 19913, 3555, 2407, 9566, 12399, 44945, 7435, 25513, 12399, 48812, 3555, 9566, 2655, 12399, 5551, 3224, 1211, 2423, 41779, 6027, 3660, 12399, 19446, 48812, 3555, 9566, 2655, 12399, 44945, 4587, 14407, 12399, 8032, 1863, 17082, 13546, 11296, 12399, 25124, 17082, 1211, 8978, 49374, 8315, 12399, 11933, 15730, 14111, 4724, 16254, 5551, 7435, 25513, 28811, 36764, 24401, 25894, 426, 13672, 1829, 39896, 9521, 32270, 2638], "avg_logprob": -0.30461712194992613, "compression_ratio": 1.6355932203389831, "no_speech_prob": 0.0, "words": [{"start": 2793.13, "end": 2793.47, "word": "يبقى", "probability": 0.638763427734375}, {"start": 2793.47, "end": 2793.67, "word": " لما", "probability": 0.809814453125}, {"start": 2793.67, "end": 2793.93, "word": " أقعد", "probability": 0.8019205729166666}, {"start": 2793.93, "end": 2794.57, "word": " أطلع", "probability": 0.68035888671875}, {"start": 2794.57, "end": 2794.69, "word": " في", "probability": 0.93115234375}, {"start": 2794.69, "end": 2795.29, "word": " المثل", "probability": 0.8271484375}, {"start": 2795.29, "end": 2795.79, "word": " هذه", "probability": 0.73974609375}, {"start": 2795.79, "end": 2796.95, "word": " بلاحظ", "probability": 0.9068603515625}, {"start": 2796.95, "end": 2797.27, "word": " أنه", "probability": 0.73388671875}, {"start": 2797.27, "end": 2797.87, "word": " أقرب", "probability": 0.9822591145833334}, {"start": 2797.87, "end": 2798.49, "word": " series", "probability": 0.8505859375}, {"start": 2798.49, "end": 2799.15, "word": " عليها", "probability": 0.981201171875}, {"start": 2799.15, "end": 2799.41, "word": " من", "probability": 0.97265625}, {"start": 2799.41, "end": 2799.65, "word": " اللي", "probability": 0.95654296875}, {"start": 2799.65, "end": 2799.99, "word": " احنا", "probability": 0.8427734375}, {"start": 2799.99, "end": 2801.13, "word": " عارفينهم", "probability": 0.96962890625}, {"start": 2801.13, "end": 2802.21, "word": " واحد", "probability": 0.83154296875}, {"start": 2802.21, "end": 2802.41, "word": " علي", "probability": 0.64697265625}, {"start": 2802.41, "end": 2802.63, "word": " N", "probability": 0.136962890625}, {"start": 2802.63, "end": 2803.57, "word": " مظبوط،", "probability": 0.7034505208333334}, {"start": 2803.57, "end": 2804.69, "word": " بنجرب،", "probability": 0.7935791015625}, {"start": 2804.69, "end": 2805.41, "word": " ضبطت،", "probability": 0.8333984375}, {"start": 2805.41, "end": 2805.73, "word": " أهل", "probability": 0.714111328125}, {"start": 2805.73, "end": 2807.15, "word": " الوسالة،", "probability": 0.688818359375}, {"start": 2807.15, "end": 2807.33, "word": " ما", "probability": 0.85107421875}, {"start": 2807.33, "end": 2808.05, "word": " ضبطت،", "probability": 0.90849609375}, {"start": 2808.05, "end": 2808.43, "word": " بنقوا،", "probability": 0.573486328125}, {"start": 2808.43, "end": 2809.73, "word": " هنغيرها،", "probability": 0.9286295572916666}, {"start": 2809.73, "end": 2810.07, "word": " الشغل", "probability": 0.6160481770833334}, {"start": 2810.07, "end": 2810.25, "word": " في", "probability": 0.501953125}, {"start": 2810.25, "end": 2810.83, "word": " بيننا،", "probability": 0.6625162760416666}, {"start": 2810.83, "end": 2812.39, "word": " إذاً", "probability": 0.6090494791666666}, {"start": 2812.39, "end": 2812.69, "word": " بدي", "probability": 0.6827392578125}, {"start": 2812.69, "end": 2813.27, "word": " أجرب", "probability": 0.9080403645833334}, {"start": 2813.27, "end": 2814.27, "word": " summation", "probability": 0.63427734375}, {"start": 2814.27, "end": 2815.73, "word": " واحد", "probability": 0.938720703125}, {"start": 2815.73, "end": 2816.23, "word": " علي", "probability": 0.5458984375}, {"start": 2816.23, "end": 2816.79, "word": " N", "probability": 0.93896484375}, {"start": 2816.79, "end": 2817.37, "word": " اللي", "probability": 0.84912109375}, {"start": 2817.37, "end": 2817.53, "word": " هي", "probability": 0.90380859375}, {"start": 2817.53, "end": 2818.13, "word": " diverse", "probability": 0.43798828125}, {"start": 2818.13, "end": 2820.53, "word": " harmonic", "probability": 0.86083984375}, {"start": 2820.53, "end": 2821.59, "word": " series", "probability": 0.91650390625}], "temperature": 1.0}, {"id": 122, "seek": 283465, "start": 2824.05, "end": 2834.65, "text": "يبدأ باخذ limit لما ال N tends to infinity ل 1 1 زائد لن ال N تقسيم 1 على N", "tokens": [1829, 44510, 10721, 4724, 47283, 8848, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 502, 502, 30767, 16373, 3215, 5296, 1863, 2423, 426, 6055, 4587, 3794, 32640, 502, 15844, 426], "avg_logprob": -0.3813476534560323, "compression_ratio": 1.05, "no_speech_prob": 0.0, "words": [{"start": 2824.05, "end": 2824.49, "word": "يبدأ", "probability": 0.4657796223958333}, {"start": 2824.49, "end": 2825.15, "word": " باخذ", "probability": 0.5548502604166666}, {"start": 2825.15, "end": 2825.69, "word": " limit", "probability": 0.43310546875}, {"start": 2825.69, "end": 2826.63, "word": " لما", "probability": 0.7061767578125}, {"start": 2826.63, "end": 2826.85, "word": " ال", "probability": 0.8935546875}, {"start": 2826.85, "end": 2827.11, "word": " N", "probability": 0.313232421875}, {"start": 2827.11, "end": 2827.51, "word": " tends", "probability": 0.6572265625}, {"start": 2827.51, "end": 2827.79, "word": " to", "probability": 0.9169921875}, {"start": 2827.79, "end": 2828.49, "word": " infinity", "probability": 0.853515625}, {"start": 2828.49, "end": 2829.15, "word": " ل", "probability": 0.70556640625}, {"start": 2829.15, "end": 2829.53, "word": " 1", "probability": 0.424072265625}, {"start": 2829.53, "end": 2830.13, "word": " 1", "probability": 0.66064453125}, {"start": 2830.13, "end": 2830.83, "word": " زائد", "probability": 0.8077799479166666}, {"start": 2830.83, "end": 2831.29, "word": " لن", "probability": 0.75390625}, {"start": 2831.29, "end": 2831.55, "word": " ال", "probability": 0.7470703125}, {"start": 2831.55, "end": 2831.99, "word": " N", "probability": 0.9267578125}, {"start": 2831.99, "end": 2833.49, "word": " تقسيم", "probability": 0.8575439453125}, {"start": 2833.49, "end": 2833.93, "word": " 1", "probability": 0.8828125}, {"start": 2833.93, "end": 2834.33, "word": " على", "probability": 0.619140625}, {"start": 2834.33, "end": 2834.65, "word": " N", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 123, "seek": 285742, "start": 2837.02, "end": 2857.42, "text": "يبقى هذا الكلام بده يستوي ال limit لما ال N تنزله infinity لل N واحد ذائب من ال N نرجع لسؤالنا التاني يبقى جلبنا طلعت ال N فوق و صارت تانية تحته تعوده المباشر بيجيبلي infinity على infinity", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 14851, 45865, 2423, 4948, 5296, 15042, 2423, 426, 6055, 1863, 11622, 43761, 13202, 24976, 426, 36764, 24401, 29910, 16373, 3555, 9154, 2423, 426, 8717, 47341, 3615, 5296, 3794, 33604, 6027, 8315, 16712, 7649, 1829, 7251, 3555, 4587, 7578, 10874, 46152, 8315, 23032, 1211, 34268, 2423, 426, 6156, 30543, 4032, 20328, 9640, 2655, 6055, 7649, 10632, 6055, 33753, 3224, 37279, 23328, 3224, 9673, 3555, 33599, 2288, 4724, 1829, 7435, 1829, 3555, 20292, 13202, 15844, 13202], "avg_logprob": -0.2952398273140885, "compression_ratio": 1.627659574468085, "no_speech_prob": 0.0, "words": [{"start": 2837.02, "end": 2837.48, "word": "يبقى", "probability": 0.68463134765625}, {"start": 2837.48, "end": 2837.74, "word": " هذا", "probability": 0.892578125}, {"start": 2837.74, "end": 2838.22, "word": " الكلام", "probability": 0.94970703125}, {"start": 2838.22, "end": 2838.5, "word": " بده", "probability": 0.230224609375}, {"start": 2838.5, "end": 2838.94, "word": " يستوي", "probability": 0.7197265625}, {"start": 2838.94, "end": 2839.1, "word": " ال", "probability": 0.54248046875}, {"start": 2839.1, "end": 2839.54, "word": " limit", "probability": 0.89697265625}, {"start": 2839.54, "end": 2840.64, "word": " لما", "probability": 0.89404296875}, {"start": 2840.64, "end": 2840.86, "word": " ال", "probability": 0.95703125}, {"start": 2840.86, "end": 2841.16, "word": " N", "probability": 0.70361328125}, {"start": 2841.16, "end": 2841.66, "word": " تنزله", "probability": 0.73681640625}, {"start": 2841.66, "end": 2842.32, "word": " infinity", "probability": 0.58251953125}, {"start": 2842.32, "end": 2843.3, "word": " لل", "probability": 0.49072265625}, {"start": 2843.3, "end": 2843.86, "word": " N", "probability": 0.9130859375}, {"start": 2843.86, "end": 2845.1, "word": " واحد", "probability": 0.904541015625}, {"start": 2845.1, "end": 2846.2, "word": " ذائب", "probability": 0.5154215494791666}, {"start": 2846.2, "end": 2846.42, "word": " من", "probability": 0.71923828125}, {"start": 2846.42, "end": 2846.66, "word": " ال", "probability": 0.80615234375}, {"start": 2846.66, "end": 2846.82, "word": " N", "probability": 0.87353515625}, {"start": 2846.82, "end": 2848.64, "word": " نرجع", "probability": 0.845703125}, {"start": 2848.64, "end": 2849.18, "word": " لسؤالنا", "probability": 0.9259765625}, {"start": 2849.18, "end": 2849.58, "word": " التاني", "probability": 0.92236328125}, {"start": 2849.58, "end": 2850.36, "word": " يبقى", "probability": 0.9547119140625}, {"start": 2850.36, "end": 2850.88, "word": " جلبنا", "probability": 0.8116861979166666}, {"start": 2850.88, "end": 2851.26, "word": " طلعت", "probability": 0.8103841145833334}, {"start": 2851.26, "end": 2851.4, "word": " ال", "probability": 0.9423828125}, {"start": 2851.4, "end": 2851.58, "word": " N", "probability": 0.9765625}, {"start": 2851.58, "end": 2852.1, "word": " فوق", "probability": 0.878662109375}, {"start": 2852.1, "end": 2852.42, "word": " و", "probability": 0.7861328125}, {"start": 2852.42, "end": 2852.8, "word": " صارت", "probability": 0.5379231770833334}, {"start": 2852.8, "end": 2853.1, "word": " تانية", "probability": 0.9482421875}, {"start": 2853.1, "end": 2853.36, "word": " تحته", "probability": 0.6199137369791666}, {"start": 2853.36, "end": 2853.76, "word": " تعوده", "probability": 0.6695149739583334}, {"start": 2853.76, "end": 2854.54, "word": " المباشر", "probability": 0.9764404296875}, {"start": 2854.54, "end": 2855.58, "word": " بيجيبلي", "probability": 0.7607421875}, {"start": 2855.58, "end": 2856.34, "word": " infinity", "probability": 0.845703125}, {"start": 2856.34, "end": 2856.76, "word": " على", "probability": 0.76513671875}, {"start": 2856.76, "end": 2857.42, "word": " infinity", "probability": 0.8720703125}], "temperature": 1.0}, {"id": 124, "seek": 288237, "start": 2857.93, "end": 2882.37, "text": "يبقى بقاعدة Lobital limit لما ال N tends to infinity للواحد على مشتقت هذا بالصفر ومشتقت هذا بالواحد على N يبقى الصعب limit لما ال N tends to infinity لمن؟ لإن النتج جدوش Infinity", "tokens": [1829, 3555, 4587, 7578, 4724, 4587, 995, 22488, 3660, 30719, 1686, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 24976, 14407, 24401, 15844, 37893, 2655, 38149, 23758, 20666, 9381, 5172, 2288, 4032, 2304, 8592, 2655, 38149, 23758, 20666, 14407, 24401, 15844, 426, 7251, 3555, 4587, 7578, 31767, 3615, 3555, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 27842, 22807, 5296, 28814, 1863, 28239, 2655, 7435, 10874, 3215, 2407, 8592, 34762], "avg_logprob": -0.2664930526581075, "compression_ratio": 1.6878980891719746, "no_speech_prob": 0.0, "words": [{"start": 2857.93, "end": 2858.45, "word": "يبقى", "probability": 0.8870849609375}, {"start": 2858.45, "end": 2859.33, "word": " بقاعدة", "probability": 0.88779296875}, {"start": 2859.33, "end": 2860.15, "word": " Lobital", "probability": 0.498046875}, {"start": 2860.15, "end": 2861.43, "word": " limit", "probability": 0.80419921875}, {"start": 2861.43, "end": 2862.43, "word": " لما", "probability": 0.9228515625}, {"start": 2862.43, "end": 2862.67, "word": " ال", "probability": 0.95556640625}, {"start": 2862.67, "end": 2862.91, "word": " N", "probability": 0.438720703125}, {"start": 2862.91, "end": 2863.33, "word": " tends", "probability": 0.68603515625}, {"start": 2863.33, "end": 2863.61, "word": " to", "probability": 0.93994140625}, {"start": 2863.61, "end": 2864.35, "word": " infinity", "probability": 0.80078125}, {"start": 2864.35, "end": 2866.23, "word": " للواحد", "probability": 0.695068359375}, {"start": 2866.23, "end": 2866.87, "word": " على", "probability": 0.828125}, {"start": 2866.87, "end": 2868.13, "word": " مشتقت", "probability": 0.6172688802083334}, {"start": 2868.13, "end": 2868.47, "word": " هذا", "probability": 0.75}, {"start": 2868.47, "end": 2869.23, "word": " بالصفر", "probability": 0.8839111328125}, {"start": 2869.23, "end": 2870.37, "word": " ومشتقت", "probability": 0.80830078125}, {"start": 2870.37, "end": 2870.75, "word": " هذا", "probability": 0.96044921875}, {"start": 2870.75, "end": 2871.59, "word": " بالواحد", "probability": 0.9529622395833334}, {"start": 2871.59, "end": 2871.91, "word": " على", "probability": 0.8857421875}, {"start": 2871.91, "end": 2872.31, "word": " N", "probability": 0.88232421875}, {"start": 2872.31, "end": 2873.27, "word": " يبقى", "probability": 0.96142578125}, {"start": 2873.27, "end": 2874.13, "word": " الصعب", "probability": 0.9466145833333334}, {"start": 2874.13, "end": 2875.19, "word": " limit", "probability": 0.62646484375}, {"start": 2875.19, "end": 2875.97, "word": " لما", "probability": 0.970458984375}, {"start": 2875.97, "end": 2876.19, "word": " ال", "probability": 0.93115234375}, {"start": 2876.19, "end": 2876.47, "word": " N", "probability": 0.97900390625}, {"start": 2876.47, "end": 2876.95, "word": " tends", "probability": 0.8056640625}, {"start": 2876.95, "end": 2877.23, "word": " to", "probability": 0.9541015625}, {"start": 2877.23, "end": 2877.73, "word": " infinity", "probability": 0.8798828125}, {"start": 2877.73, "end": 2878.91, "word": " لمن؟", "probability": 0.6429850260416666}, {"start": 2878.91, "end": 2879.67, "word": " لإن", "probability": 0.6913248697916666}, {"start": 2879.67, "end": 2880.17, "word": " النتج", "probability": 0.706298828125}, {"start": 2880.17, "end": 2880.97, "word": " جدوش", "probability": 0.71160888671875}, {"start": 2880.97, "end": 2882.37, "word": " Infinity", "probability": 0.46240234375}], "temperature": 1.0}, {"id": 125, "seek": 290985, "start": 2883.21, "end": 2909.85, "text": "طيب تبعت المقام diverse والنتيجة infinity بقوله by the limit comparison test the series summation للواحد على واحد زائد لن ال N اللي هو diverse كذلك ات واحد من الشباب قال ايه؟", "tokens": [9566, 1829, 3555, 6055, 3555, 34268, 9673, 4587, 10943, 9521, 16070, 29399, 1829, 7435, 3660, 13202, 4724, 39648, 3224, 538, 264, 4948, 9660, 1500, 264, 2638, 28811, 24976, 14407, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 5296, 1863, 2423, 426, 13672, 1829, 31439, 9521, 9122, 8848, 23275, 1975, 2655, 36764, 24401, 9154, 25124, 3555, 16758, 50239, 1975, 1829, 3224, 22807], "avg_logprob": -0.23488730192184448, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 2883.21, "end": 2883.63, "word": "طيب", "probability": 0.7364095052083334}, {"start": 2883.63, "end": 2884.23, "word": " تبعت", "probability": 0.7605794270833334}, {"start": 2884.23, "end": 2885.15, "word": " المقام", "probability": 0.98779296875}, {"start": 2885.15, "end": 2885.75, "word": " diverse", "probability": 0.253173828125}, {"start": 2885.75, "end": 2886.85, "word": " والنتيجة", "probability": 0.878271484375}, {"start": 2886.85, "end": 2888.07, "word": " infinity", "probability": 0.73095703125}, {"start": 2888.07, "end": 2889.51, "word": " بقوله", "probability": 0.7783203125}, {"start": 2889.51, "end": 2889.85, "word": " by", "probability": 0.7060546875}, {"start": 2889.85, "end": 2892.19, "word": " the", "probability": 0.65234375}, {"start": 2892.19, "end": 2893.35, "word": " limit", "probability": 0.92578125}, {"start": 2893.35, "end": 2894.37, "word": " comparison", "probability": 0.53369140625}, {"start": 2894.37, "end": 2895.13, "word": " test", "probability": 0.8798828125}, {"start": 2895.13, "end": 2895.85, "word": " the", "probability": 0.69091796875}, {"start": 2895.85, "end": 2896.61, "word": " series", "probability": 0.93896484375}, {"start": 2896.61, "end": 2898.89, "word": " summation", "probability": 0.7783203125}, {"start": 2898.89, "end": 2900.23, "word": " للواحد", "probability": 0.8385416666666666}, {"start": 2900.23, "end": 2900.47, "word": " على", "probability": 0.73388671875}, {"start": 2900.47, "end": 2900.99, "word": " واحد", "probability": 0.986328125}, {"start": 2900.99, "end": 2901.59, "word": " زائد", "probability": 0.8855794270833334}, {"start": 2901.59, "end": 2902.17, "word": " لن", "probability": 0.722412109375}, {"start": 2902.17, "end": 2902.59, "word": " ال", "probability": 0.94091796875}, {"start": 2902.59, "end": 2903.17, "word": " N", "probability": 0.6669921875}, {"start": 2903.17, "end": 2904.79, "word": " اللي", "probability": 0.936279296875}, {"start": 2904.79, "end": 2904.97, "word": " هو", "probability": 0.978515625}, {"start": 2904.97, "end": 2905.77, "word": " diverse", "probability": 0.728515625}, {"start": 2905.77, "end": 2906.51, "word": " كذلك", "probability": 0.9845377604166666}, {"start": 2906.51, "end": 2907.35, "word": " ات", "probability": 0.3309326171875}, {"start": 2907.35, "end": 2907.95, "word": " واحد", "probability": 0.911376953125}, {"start": 2907.95, "end": 2908.43, "word": " من", "probability": 0.9140625}, {"start": 2908.43, "end": 2909.05, "word": " الشباب", "probability": 0.95361328125}, {"start": 2909.05, "end": 2909.35, "word": " قال", "probability": 0.908203125}, {"start": 2909.35, "end": 2909.85, "word": " ايه؟", "probability": 0.8634033203125}], "temperature": 1.0}, {"id": 126, "seek": 292973, "start": 2911.31, "end": 2929.73, "text": "قال انت بشوفك كله limit comparison يعني بنفعش بال comparison والله التكامل والله ال end term والله اللي فات بقولك ممكن ينفعش جرب الحين هذا لو بدي اجي اخد ال end term شاف احد عمل نهاية ب zero فاشل لحد انوني", "tokens": [4587, 6027, 16472, 2655, 4724, 8592, 38688, 4117, 28242, 3224, 4948, 9660, 37495, 22653, 44945, 5172, 3615, 8592, 20666, 9660, 16070, 43761, 16712, 4117, 10943, 1211, 16070, 43761, 2423, 917, 1433, 16070, 43761, 13672, 1829, 6156, 9307, 4724, 39648, 4117, 3714, 43020, 7251, 1863, 5172, 3615, 8592, 10874, 25513, 21542, 9957, 23758, 45164, 4724, 16254, 1975, 7435, 1829, 1975, 9778, 3215, 2423, 917, 1433, 13412, 31845, 1975, 24401, 6225, 42213, 8717, 11296, 10632, 4724, 4018, 6156, 33599, 1211, 5296, 24401, 16472, 11536, 1829], "avg_logprob": -0.28497022425844554, "compression_ratio": 1.712041884816754, "no_speech_prob": 0.0, "words": [{"start": 2911.31, "end": 2911.69, "word": "قال", "probability": 0.6981201171875}, {"start": 2911.69, "end": 2911.97, "word": " انت", "probability": 0.619140625}, {"start": 2911.97, "end": 2912.53, "word": " بشوفك", "probability": 0.80224609375}, {"start": 2912.53, "end": 2912.97, "word": " كله", "probability": 0.900390625}, {"start": 2912.97, "end": 2913.41, "word": " limit", "probability": 0.351318359375}, {"start": 2913.41, "end": 2914.23, "word": " comparison", "probability": 0.9296875}, {"start": 2914.23, "end": 2914.79, "word": " يعني", "probability": 0.842041015625}, {"start": 2914.79, "end": 2915.43, "word": " بنفعش", "probability": 0.8302001953125}, {"start": 2915.43, "end": 2915.63, "word": " بال", "probability": 0.98974609375}, {"start": 2915.63, "end": 2916.47, "word": " comparison", "probability": 0.859375}, {"start": 2916.47, "end": 2917.03, "word": " والله", "probability": 0.7001953125}, {"start": 2917.03, "end": 2917.97, "word": " التكامل", "probability": 0.975341796875}, {"start": 2917.97, "end": 2918.29, "word": " والله", "probability": 0.98291015625}, {"start": 2918.29, "end": 2918.49, "word": " ال", "probability": 0.94140625}, {"start": 2918.49, "end": 2918.73, "word": " end", "probability": 0.08233642578125}, {"start": 2918.73, "end": 2919.29, "word": " term", "probability": 0.94189453125}, {"start": 2919.29, "end": 2919.99, "word": " والله", "probability": 0.946533203125}, {"start": 2919.99, "end": 2920.17, "word": " اللي", "probability": 0.83349609375}, {"start": 2920.17, "end": 2920.45, "word": " فات", "probability": 0.96923828125}, {"start": 2920.45, "end": 2920.95, "word": " بقولك", "probability": 0.8302408854166666}, {"start": 2920.95, "end": 2921.35, "word": " ممكن", "probability": 0.9892578125}, {"start": 2921.35, "end": 2922.07, "word": " ينفعش", "probability": 0.90068359375}, {"start": 2922.07, "end": 2922.81, "word": " جرب", "probability": 0.60009765625}, {"start": 2922.81, "end": 2923.83, "word": " الحين", "probability": 0.73486328125}, {"start": 2923.83, "end": 2924.15, "word": " هذا", "probability": 0.8681640625}, {"start": 2924.15, "end": 2924.33, "word": " لو", "probability": 0.95849609375}, {"start": 2924.33, "end": 2924.57, "word": " بدي", "probability": 0.6578369140625}, {"start": 2924.57, "end": 2924.83, "word": " اجي", "probability": 0.5625}, {"start": 2924.83, "end": 2925.21, "word": " اخد", "probability": 0.837890625}, {"start": 2925.21, "end": 2925.35, "word": " ال", "probability": 0.990234375}, {"start": 2925.35, "end": 2925.71, "word": " end", "probability": 0.9619140625}, {"start": 2925.71, "end": 2926.13, "word": " term", "probability": 0.96923828125}, {"start": 2926.13, "end": 2926.51, "word": " شاف", "probability": 0.689697265625}, {"start": 2926.51, "end": 2926.83, "word": " احد", "probability": 0.5555419921875}, {"start": 2926.83, "end": 2927.19, "word": " عمل", "probability": 0.7724609375}, {"start": 2927.19, "end": 2927.63, "word": " نهاية", "probability": 0.8984375}, {"start": 2927.63, "end": 2927.77, "word": " ب", "probability": 0.6484375}, {"start": 2927.77, "end": 2928.09, "word": " zero", "probability": 0.75341796875}, {"start": 2928.09, "end": 2928.71, "word": " فاشل", "probability": 0.9112955729166666}, {"start": 2928.71, "end": 2929.15, "word": " لحد", "probability": 0.88720703125}, {"start": 2929.15, "end": 2929.73, "word": " انوني", "probability": 0.5515543619791666}], "temperature": 1.0}, {"id": 127, "seek": 294872, "start": 2930.34, "end": 2948.72, "text": "نستطيع ان نكمل واحد على واحد زائد لان جمل لم يتم تكمله بعد انك تبحث عن الشروط التالتة جزء طويلة وبعدين تكملها سابع يبقى بروح ال comparison ووصلت ال comparison بقوله اه هو الواحد على واحد زائد لان ال M", "tokens": [1863, 14851, 9566, 40228, 16472, 8717, 24793, 1211, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 5296, 7649, 10874, 42213, 32767, 7251, 39237, 6055, 24793, 43761, 39182, 16472, 4117, 6055, 49628, 12984, 18871, 25124, 32887, 9566, 16712, 6027, 2655, 3660, 10874, 11622, 38207, 23032, 2407, 26895, 3660, 46599, 22488, 9957, 6055, 24793, 1211, 11296, 8608, 16758, 3615, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 2423, 9660, 4032, 2407, 36520, 2655, 2423, 9660, 4724, 39648, 3224, 1975, 3224, 31439, 2423, 14407, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 5296, 7649, 2423, 376], "avg_logprob": -0.36922554542189057, "compression_ratio": 1.8579234972677596, "no_speech_prob": 0.0, "words": [{"start": 2930.34, "end": 2930.86, "word": "نستطيع", "probability": 0.648681640625}, {"start": 2930.86, "end": 2931.0, "word": " ان", "probability": 0.5517578125}, {"start": 2931.0, "end": 2931.36, "word": " نكمل", "probability": 0.657958984375}, {"start": 2931.36, "end": 2931.74, "word": " واحد", "probability": 0.6451416015625}, {"start": 2931.74, "end": 2931.88, "word": " على", "probability": 0.56494140625}, {"start": 2931.88, "end": 2932.22, "word": " واحد", "probability": 0.985595703125}, {"start": 2932.22, "end": 2932.66, "word": " زائد", "probability": 0.8323567708333334}, {"start": 2932.66, "end": 2932.88, "word": " لان", "probability": 0.309814453125}, {"start": 2932.88, "end": 2933.42, "word": " جمل", "probability": 0.3577880859375}, {"start": 2933.42, "end": 2933.64, "word": " لم", "probability": 0.307373046875}, {"start": 2933.64, "end": 2934.04, "word": " يتم", "probability": 0.71337890625}, {"start": 2934.04, "end": 2934.3, "word": " تكمله", "probability": 0.6026204427083334}, {"start": 2934.3, "end": 2934.38, "word": " بعد", "probability": 0.379150390625}, {"start": 2934.38, "end": 2934.52, "word": " انك", "probability": 0.3289794921875}, {"start": 2934.52, "end": 2934.88, "word": " تبحث", "probability": 0.8660481770833334}, {"start": 2934.88, "end": 2934.98, "word": " عن", "probability": 0.8251953125}, {"start": 2934.98, "end": 2935.38, "word": " الشروط", "probability": 0.8094075520833334}, {"start": 2935.38, "end": 2935.84, "word": " التالتة", "probability": 0.607513427734375}, {"start": 2935.84, "end": 2936.2, "word": " جزء", "probability": 0.6617838541666666}, {"start": 2936.2, "end": 2936.88, "word": " طويلة", "probability": 0.9395751953125}, {"start": 2936.88, "end": 2937.62, "word": " وبعدين", "probability": 0.6006673177083334}, {"start": 2937.62, "end": 2938.38, "word": " تكملها", "probability": 0.9039306640625}, {"start": 2938.38, "end": 2939.22, "word": " سابع", "probability": 0.8824869791666666}, {"start": 2939.22, "end": 2940.24, "word": " يبقى", "probability": 0.7528076171875}, {"start": 2940.24, "end": 2940.54, "word": " بروح", "probability": 0.7942708333333334}, {"start": 2940.54, "end": 2940.66, "word": " ال", "probability": 0.92822265625}, {"start": 2940.66, "end": 2941.22, "word": " comparison", "probability": 0.90478515625}, {"start": 2941.22, "end": 2941.88, "word": " ووصلت", "probability": 0.87548828125}, {"start": 2941.88, "end": 2941.98, "word": " ال", "probability": 0.70068359375}, {"start": 2941.98, "end": 2942.6, "word": " comparison", "probability": 0.921875}, {"start": 2942.6, "end": 2943.22, "word": " بقوله", "probability": 0.6798502604166666}, {"start": 2943.22, "end": 2943.84, "word": " اه", "probability": 0.829833984375}, {"start": 2943.84, "end": 2944.5, "word": " هو", "probability": 0.95068359375}, {"start": 2944.5, "end": 2945.52, "word": " الواحد", "probability": 0.9534505208333334}, {"start": 2945.52, "end": 2945.88, "word": " على", "probability": 0.90087890625}, {"start": 2945.88, "end": 2946.6, "word": " واحد", "probability": 0.991455078125}, {"start": 2946.6, "end": 2947.38, "word": " زائد", "probability": 0.9864908854166666}, {"start": 2947.38, "end": 2947.96, "word": " لان", "probability": 0.80615234375}, {"start": 2947.96, "end": 2948.26, "word": " ال", "probability": 0.94482421875}, {"start": 2948.26, "end": 2948.72, "word": " M", "probability": 0.470703125}], "temperature": 1.0}, {"id": 128, "seek": 297897, "start": 2949.77, "end": 2978.97, "text": "طبعا اقرب واحدة اللي احنا طلعناها diverge مظبوط اذا diverge معناته ده ماشي اكبر من بقولها اكبر من واحد على لن الان صحيح؟ لأ مش صحيح يبقى بقوله زائد لن لن تمشي الحال؟ يعني هذا واحد على اتنين لن لن شو علاقة بواحد على اتنين ان؟", "tokens": [9566, 3555, 3615, 995, 1975, 4587, 25513, 36764, 24401, 3660, 13672, 1829, 1975, 5016, 8315, 23032, 1211, 3615, 8315, 11296, 9192, 81, 432, 3714, 19913, 3555, 2407, 9566, 1975, 15730, 9192, 81, 432, 20449, 8315, 47395, 11778, 3224, 3714, 33599, 1829, 1975, 4117, 26890, 9154, 4724, 39648, 11296, 1975, 4117, 26890, 9154, 36764, 24401, 15844, 5296, 1863, 2423, 7649, 20328, 5016, 1829, 5016, 22807, 5296, 10721, 37893, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 4724, 39648, 3224, 30767, 16373, 3215, 5296, 1863, 5296, 1863, 46811, 8592, 1829, 21542, 6027, 22807, 37495, 22653, 23758, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 5296, 1863, 5296, 1863, 13412, 2407, 11203, 995, 28671, 4724, 14407, 24401, 15844, 1975, 2655, 1863, 9957, 16472, 22807], "avg_logprob": -0.2644628237101657, "compression_ratio": 1.945, "no_speech_prob": 0.0, "words": [{"start": 2949.77, "end": 2950.43, "word": "طبعا", "probability": 0.7402496337890625}, {"start": 2950.43, "end": 2951.47, "word": " اقرب", "probability": 0.7735188802083334}, {"start": 2951.47, "end": 2952.07, "word": " واحدة", "probability": 0.93701171875}, {"start": 2952.07, "end": 2952.19, "word": " اللي", "probability": 0.494873046875}, {"start": 2952.19, "end": 2952.29, "word": " احنا", "probability": 0.8211263020833334}, {"start": 2952.29, "end": 2952.83, "word": " طلعناها", "probability": 0.792529296875}, {"start": 2952.83, "end": 2953.43, "word": " diverge", "probability": 0.4186197916666667}, {"start": 2953.43, "end": 2954.03, "word": " مظبوط", "probability": 0.77138671875}, {"start": 2954.03, "end": 2954.49, "word": " اذا", "probability": 0.78759765625}, {"start": 2954.49, "end": 2954.99, "word": " diverge", "probability": 0.84521484375}, {"start": 2954.99, "end": 2955.33, "word": " معناته", "probability": 0.7181803385416666}, {"start": 2955.33, "end": 2955.55, "word": " ده", "probability": 0.6881103515625}, {"start": 2955.55, "end": 2955.85, "word": " ماشي", "probability": 0.7744140625}, {"start": 2955.85, "end": 2956.41, "word": " اكبر", "probability": 0.873046875}, {"start": 2956.41, "end": 2956.75, "word": " من", "probability": 0.97802734375}, {"start": 2956.75, "end": 2958.23, "word": " بقولها", "probability": 0.7975260416666666}, {"start": 2958.23, "end": 2959.11, "word": " اكبر", "probability": 0.9532877604166666}, {"start": 2959.11, "end": 2959.49, "word": " من", "probability": 0.994140625}, {"start": 2959.49, "end": 2960.31, "word": " واحد", "probability": 0.984130859375}, {"start": 2960.31, "end": 2961.19, "word": " على", "probability": 0.80615234375}, {"start": 2961.19, "end": 2961.83, "word": " لن", "probability": 0.863525390625}, {"start": 2961.83, "end": 2962.37, "word": " الان", "probability": 0.5352783203125}, {"start": 2962.37, "end": 2963.41, "word": " صحيح؟", "probability": 0.720556640625}, {"start": 2963.41, "end": 2964.51, "word": " لأ", "probability": 0.7027587890625}, {"start": 2964.51, "end": 2964.63, "word": " مش", "probability": 0.9580078125}, {"start": 2964.63, "end": 2965.33, "word": " صحيح", "probability": 0.9970703125}, {"start": 2965.33, "end": 2966.13, "word": " يبقى", "probability": 0.7401123046875}, {"start": 2966.13, "end": 2966.77, "word": " بقوله", "probability": 0.9313151041666666}, {"start": 2966.77, "end": 2967.45, "word": " زائد", "probability": 0.7625325520833334}, {"start": 2967.45, "end": 2967.93, "word": " لن", "probability": 0.95556640625}, {"start": 2967.93, "end": 2968.35, "word": " لن", "probability": 0.701171875}, {"start": 2968.35, "end": 2969.63, "word": " تمشي", "probability": 0.8582356770833334}, {"start": 2969.63, "end": 2970.75, "word": " الحال؟", "probability": 0.7430826822916666}, {"start": 2970.75, "end": 2971.19, "word": " يعني", "probability": 0.911376953125}, {"start": 2971.19, "end": 2971.73, "word": " هذا", "probability": 0.66796875}, {"start": 2971.73, "end": 2972.81, "word": " واحد", "probability": 0.970458984375}, {"start": 2972.81, "end": 2973.21, "word": " على", "probability": 0.79931640625}, {"start": 2973.21, "end": 2974.09, "word": " اتنين", "probability": 0.97021484375}, {"start": 2974.09, "end": 2974.67, "word": " لن", "probability": 0.976318359375}, {"start": 2974.67, "end": 2975.37, "word": " لن", "probability": 0.632568359375}, {"start": 2975.37, "end": 2976.35, "word": " شو", "probability": 0.812744140625}, {"start": 2976.35, "end": 2976.97, "word": " علاقة", "probability": 0.935546875}, {"start": 2976.97, "end": 2977.63, "word": " بواحد", "probability": 0.9650065104166666}, {"start": 2977.63, "end": 2977.91, "word": " على", "probability": 0.87255859375}, {"start": 2977.91, "end": 2978.53, "word": " اتنين", "probability": 0.9835205078125}, {"start": 2978.53, "end": 2978.97, "word": " ان؟", "probability": 0.72216796875}], "temperature": 1.0}, {"id": 129, "seek": 300907, "start": 2980.99, "end": 3009.07, "text": "أقل ولا أكبر؟ أقل لغرثم العدد أقل من العدد إذا الكثر هذا له أكبر إذا هذا الكثر أكبر من الكثر اللي عندنا هذا واحد على اتنين لإن ال N أكبر كثيرا من واحد على اتنين N بقوله بطوى لكن نص summation واحد على N by very harmonic", "tokens": [10721, 4587, 1211, 49429, 5551, 4117, 26890, 22807, 5551, 4587, 1211, 5296, 17082, 2288, 12984, 2304, 18863, 3215, 3215, 5551, 4587, 1211, 9154, 18863, 3215, 3215, 11933, 15730, 33251, 12984, 2288, 23758, 46740, 5551, 4117, 26890, 11933, 15730, 23758, 33251, 12984, 2288, 5551, 4117, 26890, 9154, 33251, 12984, 2288, 13672, 1829, 43242, 8315, 23758, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 5296, 28814, 1863, 2423, 426, 5551, 4117, 26890, 9122, 12984, 13546, 995, 9154, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 426, 4724, 39648, 3224, 4724, 9566, 2407, 7578, 44381, 8717, 9381, 28811, 36764, 24401, 15844, 426, 538, 588, 32270], "avg_logprob": -0.23685025401634746, "compression_ratio": 1.8762886597938144, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2980.9900000000002, "end": 2982.11, "word": "أقل", "probability": 0.82470703125}, {"start": 2982.11, "end": 2982.27, "word": " ولا", "probability": 0.6455078125}, {"start": 2982.27, "end": 2983.09, "word": " أكبر؟", "probability": 0.9093017578125}, {"start": 2983.09, "end": 2984.13, "word": " أقل", "probability": 0.8741861979166666}, {"start": 2984.13, "end": 2985.35, "word": " لغرثم", "probability": 0.7004638671875}, {"start": 2985.35, "end": 2986.25, "word": " العدد", "probability": 0.9425455729166666}, {"start": 2986.25, "end": 2987.31, "word": " أقل", "probability": 0.931640625}, {"start": 2987.31, "end": 2987.51, "word": " من", "probability": 0.97802734375}, {"start": 2987.51, "end": 2988.13, "word": " العدد", "probability": 0.9903971354166666}, {"start": 2988.13, "end": 2988.43, "word": " إذا", "probability": 0.5684814453125}, {"start": 2988.43, "end": 2989.01, "word": " الكثر", "probability": 0.6812337239583334}, {"start": 2989.01, "end": 2989.25, "word": " هذا", "probability": 0.94140625}, {"start": 2989.25, "end": 2989.57, "word": " له", "probability": 0.416015625}, {"start": 2989.57, "end": 2990.81, "word": " أكبر", "probability": 0.9669596354166666}, {"start": 2990.81, "end": 2991.25, "word": " إذا", "probability": 0.73291015625}, {"start": 2991.25, "end": 2991.67, "word": " هذا", "probability": 0.91796875}, {"start": 2991.67, "end": 2992.41, "word": " الكثر", "probability": 0.8429361979166666}, {"start": 2992.41, "end": 2993.05, "word": " أكبر", "probability": 0.9684244791666666}, {"start": 2993.05, "end": 2993.23, "word": " من", "probability": 0.98974609375}, {"start": 2993.23, "end": 2993.79, "word": " الكثر", "probability": 0.9275716145833334}, {"start": 2993.79, "end": 2993.99, "word": " اللي", "probability": 0.89111328125}, {"start": 2993.99, "end": 2994.39, "word": " عندنا", "probability": 0.908203125}, {"start": 2994.39, "end": 2994.67, "word": " هذا", "probability": 0.8369140625}, {"start": 2994.67, "end": 2995.45, "word": " واحد", "probability": 0.66650390625}, {"start": 2995.45, "end": 2995.65, "word": " على", "probability": 0.69189453125}, {"start": 2995.65, "end": 2996.01, "word": " اتنين", "probability": 0.922607421875}, {"start": 2996.01, "end": 2996.33, "word": " لإن", "probability": 0.7867838541666666}, {"start": 2996.33, "end": 2996.53, "word": " ال", "probability": 0.95751953125}, {"start": 2996.53, "end": 2996.75, "word": " N", "probability": 0.5224609375}, {"start": 2996.75, "end": 2997.51, "word": " أكبر", "probability": 0.97998046875}, {"start": 2997.51, "end": 2998.27, "word": " كثيرا", "probability": 0.9405517578125}, {"start": 2998.27, "end": 2998.43, "word": " من", "probability": 0.9833984375}, {"start": 2998.43, "end": 2998.79, "word": " واحد", "probability": 0.989501953125}, {"start": 2998.79, "end": 2999.05, "word": " على", "probability": 0.859375}, {"start": 2999.05, "end": 2999.69, "word": " اتنين", "probability": 0.975830078125}, {"start": 2999.69, "end": 3000.05, "word": " N", "probability": 0.2271728515625}, {"start": 3000.05, "end": 3001.33, "word": " بقوله", "probability": 0.7371419270833334}, {"start": 3001.33, "end": 3002.19, "word": " بطوى", "probability": 0.6829833984375}, {"start": 3002.19, "end": 3003.01, "word": " لكن", "probability": 0.8330078125}, {"start": 3003.01, "end": 3004.43, "word": " نص", "probability": 0.875}, {"start": 3004.43, "end": 3005.15, "word": " summation", "probability": 0.384765625}, {"start": 3005.15, "end": 3005.71, "word": " واحد", "probability": 0.915283203125}, {"start": 3005.71, "end": 3005.93, "word": " على", "probability": 0.84814453125}, {"start": 3005.93, "end": 3006.27, "word": " N", "probability": 0.5302734375}, {"start": 3006.27, "end": 3006.63, "word": " by", "probability": 0.3662109375}, {"start": 3006.63, "end": 3007.33, "word": " very", "probability": 0.47900390625}, {"start": 3007.33, "end": 3009.07, "word": " harmonic", "probability": 0.82666015625}], "temperature": 1.0}, {"id": 130, "seek": 303699, "start": 3010.25, "end": 3036.99, "text": "السي ريز يفجه هنا by the comparison test the series summation للواحد زائد ذن ال N diverged وانتهينا من هنا على أي حال يعني احنا لما نيجي نشغل في ال section هذا كل اختبارات السابقة يمكن استخدامها تهرب تستخدمها ماشي بدكش تستخدمها ماشي سيام", "tokens": [6027, 3794, 1829, 12602, 1829, 11622, 7251, 5172, 7435, 3224, 34105, 538, 264, 9660, 1500, 264, 2638, 28811, 24976, 14407, 24401, 30767, 16373, 3215, 29910, 1863, 2423, 426, 18558, 3004, 4032, 7649, 47395, 1829, 8315, 9154, 34105, 15844, 36632, 11331, 6027, 37495, 22653, 1975, 5016, 8315, 5296, 15042, 8717, 1829, 7435, 1829, 8717, 8592, 17082, 1211, 8978, 2423, 3541, 23758, 28242, 1975, 46456, 3555, 9640, 9307, 21136, 16758, 28671, 7251, 43020, 44713, 9778, 3215, 10943, 11296, 6055, 3224, 25513, 6055, 14851, 9778, 40448, 11296, 3714, 33599, 1829, 47525, 4117, 8592, 6055, 14851, 9778, 40448, 11296, 3714, 33599, 1829, 8608, 1829, 10943], "avg_logprob": -0.2824754834759469, "compression_ratio": 1.6223175965665235, "no_speech_prob": 0.0, "words": [{"start": 3010.25, "end": 3010.63, "word": "السي", "probability": 0.3443603515625}, {"start": 3010.63, "end": 3011.13, "word": " ريز", "probability": 0.670166015625}, {"start": 3011.13, "end": 3012.11, "word": " يفجه", "probability": 0.8267822265625}, {"start": 3012.11, "end": 3012.43, "word": " هنا", "probability": 0.96875}, {"start": 3012.43, "end": 3013.19, "word": " by", "probability": 0.326171875}, {"start": 3013.19, "end": 3013.95, "word": " the", "probability": 0.74658203125}, {"start": 3013.95, "end": 3015.41, "word": " comparison", "probability": 0.84521484375}, {"start": 3015.41, "end": 3016.37, "word": " test", "probability": 0.8916015625}, {"start": 3016.37, "end": 3016.95, "word": " the", "probability": 0.36572265625}, {"start": 3016.95, "end": 3017.97, "word": " series", "probability": 0.85546875}, {"start": 3017.97, "end": 3019.37, "word": " summation", "probability": 0.6162109375}, {"start": 3019.37, "end": 3020.67, "word": " للواحد", "probability": 0.7564290364583334}, {"start": 3020.67, "end": 3021.21, "word": " زائد", "probability": 0.8310546875}, {"start": 3021.21, "end": 3021.59, "word": " ذن", "probability": 0.7288818359375}, {"start": 3021.59, "end": 3021.87, "word": " ال", "probability": 0.361572265625}, {"start": 3021.87, "end": 3022.35, "word": " N", "probability": 0.51025390625}, {"start": 3022.35, "end": 3023.83, "word": " diverged", "probability": 0.3193359375}, {"start": 3023.83, "end": 3024.45, "word": " وانتهينا", "probability": 0.8947265625}, {"start": 3024.45, "end": 3024.57, "word": " من", "probability": 0.8662109375}, {"start": 3024.57, "end": 3025.01, "word": " هنا", "probability": 0.459716796875}, {"start": 3025.01, "end": 3025.57, "word": " على", "probability": 0.3662109375}, {"start": 3025.57, "end": 3025.81, "word": " أي", "probability": 0.62646484375}, {"start": 3025.81, "end": 3026.17, "word": " حال", "probability": 0.997802734375}, {"start": 3026.17, "end": 3026.53, "word": " يعني", "probability": 0.751220703125}, {"start": 3026.53, "end": 3027.01, "word": " احنا", "probability": 0.93408203125}, {"start": 3027.01, "end": 3027.27, "word": " لما", "probability": 0.93115234375}, {"start": 3027.27, "end": 3027.57, "word": " نيجي", "probability": 0.9046630859375}, {"start": 3027.57, "end": 3028.13, "word": " نشغل", "probability": 0.8856201171875}, {"start": 3028.13, "end": 3028.27, "word": " في", "probability": 0.87451171875}, {"start": 3028.27, "end": 3028.39, "word": " ال", "probability": 0.794921875}, {"start": 3028.39, "end": 3028.79, "word": " section", "probability": 0.92626953125}, {"start": 3028.79, "end": 3029.37, "word": " هذا", "probability": 0.67919921875}, {"start": 3029.37, "end": 3030.21, "word": " كل", "probability": 0.9228515625}, {"start": 3030.21, "end": 3030.95, "word": " اختبارات", "probability": 0.9712890625}, {"start": 3030.95, "end": 3031.47, "word": " السابقة", "probability": 0.97998046875}, {"start": 3031.47, "end": 3031.97, "word": " يمكن", "probability": 0.9814453125}, {"start": 3031.97, "end": 3032.89, "word": " استخدامها", "probability": 0.98095703125}, {"start": 3032.89, "end": 3033.59, "word": " تهرب", "probability": 0.631591796875}, {"start": 3033.59, "end": 3034.27, "word": " تستخدمها", "probability": 0.9158203125}, {"start": 3034.27, "end": 3034.77, "word": " ماشي", "probability": 0.9415690104166666}, {"start": 3034.77, "end": 3035.55, "word": " بدكش", "probability": 0.6830647786458334}, {"start": 3035.55, "end": 3036.07, "word": " تستخدمها", "probability": 0.8990234375}, {"start": 3036.07, "end": 3036.47, "word": " ماشي", "probability": 0.9485677083333334}, {"start": 3036.47, "end": 3036.99, "word": " سيام", "probability": 0.5598958333333334}], "temperature": 1.0}, {"id": 131, "seek": 304720, "start": 3037.28, "end": 3047.2, "text": "لازم في نفس ال section و لما ننتهي بعد يوم السبت ان شاء الله بنكمل هذا ال section و بنبدأ في ال section الجديد", "tokens": [1211, 31377, 2304, 8978, 8717, 36178, 2423, 3541, 4032, 5296, 15042, 8717, 29399, 3224, 1829, 39182, 7251, 20498, 21136, 3555, 2655, 16472, 13412, 16606, 21984, 44945, 24793, 1211, 23758, 2423, 3541, 4032, 44945, 44510, 10721, 8978, 2423, 3541, 25724, 16254, 3215], "avg_logprob": -0.17922247023809523, "compression_ratio": 1.4193548387096775, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3037.28, "end": 3038.02, "word": "لازم", "probability": 0.7687174479166666}, {"start": 3038.02, "end": 3038.24, "word": " في", "probability": 0.4091796875}, {"start": 3038.24, "end": 3038.6, "word": " نفس", "probability": 0.96435546875}, {"start": 3038.6, "end": 3038.76, "word": " ال", "probability": 0.888671875}, {"start": 3038.76, "end": 3039.06, "word": " section", "probability": 0.88037109375}, {"start": 3039.06, "end": 3039.32, "word": " و", "probability": 0.74853515625}, {"start": 3039.32, "end": 3039.62, "word": " لما", "probability": 0.7113037109375}, {"start": 3039.62, "end": 3040.32, "word": " ننتهي", "probability": 0.93994140625}, {"start": 3040.32, "end": 3040.66, "word": " بعد", "probability": 0.82177734375}, {"start": 3040.66, "end": 3041.34, "word": " يوم", "probability": 0.964111328125}, {"start": 3041.34, "end": 3041.78, "word": " السبت", "probability": 0.9060872395833334}, {"start": 3041.78, "end": 3041.94, "word": " ان", "probability": 0.68115234375}, {"start": 3041.94, "end": 3042.28, "word": " شاء", "probability": 0.972900390625}, {"start": 3042.28, "end": 3042.5, "word": " الله", "probability": 0.94873046875}, {"start": 3042.5, "end": 3043.5, "word": " بنكمل", "probability": 0.96142578125}, {"start": 3043.5, "end": 3043.7, "word": " هذا", "probability": 0.6865234375}, {"start": 3043.7, "end": 3043.8, "word": " ال", "probability": 0.6708984375}, {"start": 3043.8, "end": 3044.1, "word": " section", "probability": 0.88818359375}, {"start": 3044.1, "end": 3044.26, "word": " و", "probability": 0.79345703125}, {"start": 3044.26, "end": 3044.68, "word": " بنبدأ", "probability": 0.9191080729166666}, {"start": 3044.68, "end": 3044.8, "word": " في", "probability": 0.8330078125}, {"start": 3044.8, "end": 3044.98, "word": " ال", "probability": 0.56640625}, {"start": 3044.98, "end": 3045.54, "word": " section", "probability": 0.89404296875}, {"start": 3045.54, "end": 3047.2, "word": " الجديد", "probability": 0.9085286458333334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3047.31725, "duration_after_vad": 2935.154093749989}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4VcdhcmE1dg_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4VcdhcmE1dg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ad0a63f8128448b874509d8a3e579fec2c4a1be0
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/4VcdhcmE1dg_raw.srt
@@ -0,0 +1,1952 @@
+1
+00:00:09,400 --> 00:00:14,820
+بسم الله الرحمن الرحيم نكمل ما بدأناه في المرة
+
+2
+00:00:14,820 --> 00:00:18,360
+الماضية وهو موضوع ال comparison test و limit
+
+3
+00:00:18,360 --> 00:00:23,060
+comparison test احنا المرة اللي فاتة خدنا فقط اللي
+
+4
+00:00:23,060 --> 00:00:28,180
+هو ال comparison test تمام اختبار المقارنةوقلنا
+
+5
+00:00:28,180 --> 00:00:34,320
+بنقارن ما بين حدين نونيين ل two series تمام؟ في
+
+6
+00:00:34,320 --> 00:00:39,000
+طبعا حد نوني اكبر او اقل من الحد النوني الثاني
+
+7
+00:00:39,000 --> 00:00:43,380
+واحد اكبر منين من التاني يبقى التاني بيكون اصغر
+
+8
+00:00:43,380 --> 00:00:51,950
+ففاجي بقول لو كان ال a n اقل من ال c nوكان اللي هو
+
+9
+00:00:51,950 --> 00:00:56,330
+ال cn اللي هو الكبير converged يبقى summation على
+
+10
+00:00:56,330 --> 00:01:04,150
+an بيكون converged طبعا لو كان ال dn أقل من أو
+
+11
+00:01:04,150 --> 00:01:09,770
+يساوي ال an وكان ال dn ضيفج summation عليها ال
+
+12
+00:01:09,770 --> 00:01:13,770
+series هذه يبقىاللي أكبر منها divergence من الباب
+
+13
+00:01:13,770 --> 00:01:18,330
+الأولى وهي summation على CNN وهذا سمناه المرة
+
+14
+00:01:18,330 --> 00:01:24,670
+الماضية اختبار المقارنة واخدنا على ذلك مجموعة من
+
+15
+00:01:24,670 --> 00:01:31,770
+الأمثلة أعتقد ستة أمثلة وهذا هو المثال السابعطيب
+
+16
+00:01:31,770 --> 00:01:34,930
+طبعا هو بيعطينيش two series هو بيعطيني ال series
+
+17
+00:01:34,930 --> 00:01:40,890
+واحدة فقط لا غير وانت بدك تخلق series أخرى من ال
+
+18
+00:01:40,890 --> 00:01:44,770
+series اللي موجودة عندك بهذه ال series المخلقة
+
+19
+00:01:44,770 --> 00:01:50,310
+تكون انت عارفها هل هي converged او diver فلو جينا
+
+20
+00:01:50,310 --> 00:01:54,710
+لل series اللي عندنا هذه مين أقرب series على هذه
+
+21
+00:01:54,710 --> 00:01:59,840
+ال series ممكن اقارن معاها بواحد على interviewيبقى
+
+22
+00:01:59,840 --> 00:02:05,220
+انا عندى summation 1 على N تربيع من N equal one to
+
+23
+00:02:05,220 --> 00:02:13,340
+infinity هدى converge ب سيرز السبب because
+
+24
+00:02:16,130 --> 00:02:22,450
+ان P يسوى 2 أكبر من الواحد الصحيح طيب بدأت أخد
+
+25
+00:02:22,450 --> 00:02:29,750
+الان اللي هو tan ال N على N تربيع بدأ أشوف شو
+
+26
+00:02:29,750 --> 00:02:37,610
+علاقتها بواحد على N تربيع tan X أكبر قيمة ممكن
+
+27
+00:02:37,610 --> 00:02:42,490
+تاخدها لما X تكبر أو ال N تكبر و تروح لما لنهايه
+
+28
+00:02:42,490 --> 00:02:49,550
+وجداشإذا دائما و أبدا أقل من مين؟ أقل من الواحد
+
+29
+00:02:49,550 --> 00:02:55,570
+على ان تربية، مادام أقل من الواحد على ان تربية
+
+30
+00:02:55,570 --> 00:02:59,670
+يبقى بناء عليه الواحد على ان تربية، قولنا أنها
+
+31
+00:02:59,670 --> 00:03:05,220
+converge seriesيبقى اللي أقل منها بتبقى converge
+
+32
+00:03:05,220 --> 00:03:13,220
+بروح بقوله by the comparison test the series
+
+33
+00:03:13,220 --> 00:03:20,380
+summation اللي هو اللي تانشر N على ان تربيها
+
+34
+00:03:20,380 --> 00:03:28,920
+converge وانتهينا من المثلة السؤال الثامنتمانية
+
+35
+00:03:28,920 --> 00:03:37,920
+بيقول لي summation من N equal one to infinity لل N
+
+36
+00:03:37,920 --> 00:03:46,000
+زائد اتنين أس N على N ترابيع في اتنين أس N
+
+37
+00:03:51,780 --> 00:03:56,340
+بنروح ناخد الحد النوني في هذه ال series يبدأ الحد
+
+38
+00:03:56,340 --> 00:04:02,080
+النوني في هذه ال series اللي هو مين N زائد 2 أس N
+
+39
+00:04:02,080 --> 00:04:10,360
+على N ترابيع في ال 2 أس N السؤال هو مين اللي أكبر
+
+40
+00:04:10,360 --> 00:04:19,320
+ال N ملة 2 أس Nإن أكبر من اتنين أس إن؟ لما ال M
+
+41
+00:04:19,320 --> 00:04:24,000
+بيبقى تروح للمالة نهائية، لأن اتنين أس M هي الأكبر
+
+42
+00:04:24,000 --> 00:04:27,980
+دائما و أقلها، حط ان بواحد، بيصير هذه واحدة وهذه
+
+43
+00:04:27,980 --> 00:04:32,770
+اتنينحُط اتنين بصير اتنين و اتنين ترابيع، حُط
+
+44
+00:04:32,770 --> 00:04:36,710
+تلاتة بصير تلاتة و اتنين تكعيب، حُط اربعة بصير
+
+45
+00:04:36,710 --> 00:04:40,290
+اتنين و اتنين ساربعة، يبقى فرق شاسع ما بين
+
+46
+00:04:40,290 --> 00:04:44,130
+الاتنين، يبقى اذا اللي .. بدي اعتبرها دي مش
+
+47
+00:04:44,130 --> 00:04:48,830
+موجودة، بضل كدهش، لأن السن هي اللي بتتحكم في البطء
+
+48
+00:04:49,130 --> 00:04:59,250
+أظن ممكن نختصرها ان اتبعت المقام بضل جديد اقل
+
+49
+00:04:59,250 --> 00:05:07,890
+من يبقى هذه اقل من وهذا الكثر وهذه N تربية وهذه
+
+50
+00:05:07,890 --> 00:05:15,150
+اتنين أس N يبقى هذي للبس يبقى بدنا نشيل ال N ونكتب
+
+51
+00:05:15,150 --> 00:05:25,150
+بس اتنين أس N صحيحغلطة البص أكبر تمام البص أكبر من
+
+52
+00:05:25,150 --> 00:05:30,010
+البصة اللي عندنا هذا بسيطة مشان أجمع الاتنين مع
+
+53
+00:05:30,010 --> 00:05:35,210
+بعض لازم أكتب هذه بدلالة هذه إذا انا لو جيت قلت
+
+54
+00:05:35,210 --> 00:05:42,340
+اتنين قص ان كمان من فعله منفعش من فعليه المينهذه
+
+55
+00:05:42,340 --> 00:05:46,540
+اقل من هذه ليش المقام هو نفسه اتنين واس ان هي
+
+56
+00:05:46,540 --> 00:05:52,120
+اتنين واس ان الان اقل من اتنين واس ان يبقى المقدر
+
+57
+00:05:52,120 --> 00:05:57,880
+الاول اقل من المقدر الثانيطب ليش عملت هيك؟ عملت
+
+58
+00:05:57,880 --> 00:06:02,860
+هيك مشان أقدر أجمع الاتنين مع بعض و يتم عملية
+
+59
+00:06:02,860 --> 00:06:08,660
+الاختصارات فباجي بقول هذا بدي ساوي اتنين ضرب اتنين
+
+60
+00:06:08,660 --> 00:06:15,300
+أس N على N تربيع في اتنين أس N يبقى الجواب اتنين
+
+61
+00:06:15,300 --> 00:06:20,100
+على N تربيع بقول له بطولكن
+
+62
+00:06:32,400 --> 00:06:33,800
+السبب
+
+63
+00:06:37,350 --> 00:06:44,930
+إن P يسوى 2 أكبر من 1 الصحيح بروح بقول هنا by the
+
+64
+00:06:44,930 --> 00:06:53,490
+comparison test the series الهي summation لمن لل N
+
+65
+00:06:53,490 --> 00:07:01,090
+زائد 2 أس N على N تربية زائد 2 أس N converge
+
+66
+00:07:03,440 --> 00:07:07,520
+طيب اجى واحد تانى قال انا بفكر في المسألة بطريقة
+
+67
+00:07:07,520 --> 00:07:14,980
+اخرى بقوله كيف طبعا حل اخر يبقى another solution
+
+68
+00:07:14,980 --> 00:07:18,100
+اجى
+
+69
+00:07:18,100 --> 00:07:22,560
+قال لي انا مابديش اشتغل هيك بقوله كيف قال لي هذا
+
+70
+00:07:22,560 --> 00:07:30,520
+عندنا اللي هو مين ال Nزائد اتنين اص ان على انت
+
+71
+00:07:30,520 --> 00:07:35,860
+ربيع في اتنين اص ان قلنا له ايوة جالي بدي اوزع ال
+
+72
+00:07:35,860 --> 00:07:41,970
+bus علي المقام وهذا هي summation اللي عندنايبقى
+
+73
+00:07:41,970 --> 00:07:51,090
+هذا summation لل N على N تربيع في 2 أس N زائد 2 أس
+
+74
+00:07:51,090 --> 00:07:58,070
+N على N تربيع في 2 أس N قلنا لهم مافيش مشكلةقال له
+
+75
+00:07:58,070 --> 00:08:03,650
+هذه كمان summation اختصر بيصير واحد على N في
+
+76
+00:08:03,650 --> 00:08:10,910
+الاتنين أس N وهذه واحد على N تربيع قلنا له تمام
+
+77
+00:08:10,910 --> 00:08:16,230
+تمام ممكن يدخل ال summation على الاتنين وبالتالي
+
+78
+00:08:16,230 --> 00:08:20,790
+هذه بيصير summation تاني بهذا الشكل اظن هذه
+
+79
+00:08:20,790 --> 00:08:25,900
+conversion دغري مافيها مشكلة مشكلة تبعناهامع هذه
+
+80
+00:08:25,900 --> 00:08:35,320
+بقول له هذه أقل من summation ل 1 على 2 أس N زائد
+
+81
+00:08:35,320 --> 00:08:42,740
+summation زائد summation ل 1 على N تربية، مظبوط
+
+82
+00:08:42,740 --> 00:08:49,700
+ولا لا؟ هذه أقل من هذه، صحيح ولا لا؟مالك و خنش
+
+83
+00:08:49,700 --> 00:08:53,960
+يعني شيلت N من المقام يبقى أقل منها لإن هذه مقامة
+
+84
+00:08:53,960 --> 00:09:01,080
+أكبر طيب هذه هاها اللي تساوي مين؟ summation لنص أس
+
+85
+00:09:01,080 --> 00:09:06,560
+N زي summation لواحد علي N تربيع أظن هذه convert
+
+86
+00:09:06,560 --> 00:09:13,360
+geometric صح؟ يبقى هذه convert geometric series
+
+87
+00:09:13,650 --> 00:09:19,750
+وهذه convergence P series وهذه convergence P
+
+88
+00:09:19,750 --> 00:09:25,030
+series مجموع ال two convergence series is
+
+89
+00:09:25,030 --> 00:09:30,770
+convergent يبقى ال series اللي أقل منها اللي الأصل
+
+90
+00:09:30,770 --> 00:09:37,580
+ياشي بتكون convergent يبقى هدول طريقين للحلوحل
+
+91
+00:09:37,580 --> 00:09:41,020
+بالطريقة اللى تشوفها مناسبة بالنسبة لك طبعا
+
+92
+00:09:41,020 --> 00:09:46,760
+الطريقة الأولى أسرع كتير من الطريقة الثانية وأبسط
+
+93
+00:09:46,760 --> 00:09:53,340
+منها هذا كان السؤال الثامن السؤال التاسع بيقول ال
+
+94
+00:09:53,340 --> 00:10:00,060
+summation من n equal one to infinity لإتنين to the
+
+95
+00:10:00,060 --> 00:10:06,460
+power n تلاتة to the power nتلاتة to the power n
+
+96
+00:10:06,460 --> 00:10:12,940
+زائد أربعة to the power n بقول لك كويس، بدنا ناخد
+
+97
+00:10:12,940 --> 00:10:19,320
+الحد النوني اتنين أس N زائد تلاتة أس N تلاتة أس N
+
+98
+00:10:19,320 --> 00:10:26,660
+زائد أربعة أس Mطبعا اثنين اث ان اصغر من مين من
+
+99
+00:10:26,660 --> 00:10:29,980
+تلاتة اث ان يبقى اللي بده يتحكم في الموضوع مين
+
+100
+00:10:29,980 --> 00:10:34,840
+تلاتة اث ان هنا اربعة اث ان اكبر من تلاتة اث ان
+
+101
+00:10:34,840 --> 00:10:39,000
+يبقى اللي بده يتحكم في الموضوع مين يبقى بدي اشيل
+
+102
+00:10:39,000 --> 00:10:43,220
+التلاتة واشيل اتنين مضال تلاتة اث ان على اربعة اث
+
+103
+00:10:43,220 --> 00:10:51,180
+ان يعني تلاتة ربع كل اث ان geometric convert يبقى
+
+104
+00:10:51,180 --> 00:10:56,900
+بده يمشي اجل منطبعا يبقى بقى اجي بقول له هذه أقل
+
+105
+00:10:56,900 --> 00:11:02,980
+منه وهذا إشارة الكثر، لا مش مظبوط غلط، هذا الباص
+
+106
+00:11:02,980 --> 00:11:07,740
+طبعا المقام دي يخليه زي ما هو، اي تلاتة وسن زي
+
+107
+00:11:07,740 --> 00:11:14,210
+اربعة سن، مظبوط ذلك؟ مش مظبوطبسيطة يبقى لو كتبتها
+
+108
+00:11:14,210 --> 00:11:20,850
+تلاتة أس N بصير فعلا اتنين أس N أقل من تلاتة أس N
+
+109
+00:11:20,850 --> 00:11:25,530
+لكل ال N من عند الواحد لغاية ما لنهايك و ده كلام
+
+110
+00:11:25,530 --> 00:11:34,350
+صحيح يعني هذه تساوي اتنين في تلاتة أس N على تلاتة
+
+111
+00:11:34,350 --> 00:11:45,040
+أس N زائد أربعة أس Nهذه تساوي اتنين من
+
+112
+00:11:45,040 --> 00:11:55,330
+اتنين في تلاتة أُس M على أربعة أُس Mيعني شيلت من؟
+
+113
+00:11:55,330 --> 00:11:58,970
+شيلت التلاتة و السمنة اللي موجودة في المقام هذي.
+
+114
+00:11:58,970 --> 00:12:05,110
+تمام؟ هذي مين؟ هذي اتنين في تلت تربع كلوس قداش.
+
+115
+00:12:05,830 --> 00:12:09,990
+And مين هذي ال series؟ Geometric، convergent ولا
+
+116
+00:12:09,990 --> 00:12:14,840
+divergent؟convert إذا اللي أقل منها بتكون مالها
+
+117
+00:12:14,840 --> 00:12:24,020
+convert بقوله بطوة لكن summation للإتنين تلت تربع
+
+118
+00:12:24,020 --> 00:12:31,420
+أس N من N equal one to infinity converge geometric
+
+119
+00:12:31,420 --> 00:12:35,660
+series السبب because
+
+120
+00:12:41,840 --> 00:12:47,620
+الأساس تبع ال series يسوى تلت اربعة والتلت اربعة
+
+121
+00:12:47,620 --> 00:12:54,660
+اقل من الواحد الصحيح بروح بقوله by the comparisons
+
+122
+00:12:54,660 --> 00:13:03,350
+of the seriesاللي هي اللي أقل منها summation من n
+
+123
+00:13:03,350 --> 00:13:09,450
+equal one to infinity للاتنين أسن زائد تلاتة أسن
+
+124
+00:13:09,450 --> 00:13:16,590
+وهنا أربع أسن converge وانتهينا من المسألة
+
+125
+00:13:29,950 --> 00:13:36,310
+سؤال العاشر summation
+
+126
+00:13:36,310 --> 00:13:44,950
+من N equal one to infinity لل N factorial ال
+
+127
+00:13:44,950 --> 00:13:52,570
+square root لل N عالمين على N زائد اتنين اللي هو
+
+128
+00:13:52,570 --> 00:13:53,270
+factorial
+
+129
+00:14:04,900 --> 00:14:09,100
+ليس بالضرورة اني ابحث convergence و divergence
+
+130
+00:14:09,100 --> 00:14:14,580
+مباشرة، اذا حابب تحط المسألة في شكل جديد، اتوقع
+
+131
+00:14:14,580 --> 00:14:21,520
+الله، مش حابب، خلاص درب هنا الأقل من والأكبر من،
+
+132
+00:14:21,520 --> 00:14:27,680
+تمام؟ اه تختصر دق أن زاد اتنين، أن زاد اتنين، ودق
+
+133
+00:14:27,680 --> 00:14:34,480
+اخرون اتنين100% يعني قصد زميلكم نحط المسألة في شكل
+
+134
+00:14:34,480 --> 00:14:38,200
+جديد قبل أن نبحث ال convergence و ال divergence
+
+135
+00:14:38,200 --> 00:14:42,840
+لهذه ال series بقول يعني ايه؟ يعني هذه هي
+
+136
+00:14:42,840 --> 00:14:48,730
+summation من n equal one to infinityهذا ال
+
+137
+00:14:48,730 --> 00:14:53,330
+factorial
+
+138
+00:14:53,330 --> 00:15:01,110
+يفكه N زائد 2 في N زائد 1 في N factorial
+
+139
+00:15:04,890 --> 00:15:09,870
+هذا الكلام يساوي ال summation من n equal one to
+
+140
+00:15:09,870 --> 00:15:13,590
+infinity لل square root لل n على
+
+141
+00:15:19,480 --> 00:15:26,400
+يبقى هنا باجي بقول N زائد اتنين في ال N زائد واحد
+
+142
+00:15:26,400 --> 00:15:32,960
+اذا صارت المسألة في شكل جديد سهل الان اتحكم فيه و
+
+143
+00:15:32,960 --> 00:15:37,880
+اعرف ايه هو converge او bye bye طبعا ال bus جاهز
+
+144
+00:15:37,880 --> 00:15:42,780
+جدر التربيه ل M المقام بدي اشيل الواحد و اتنين
+
+145
+00:15:42,780 --> 00:15:48,900
+بصير N في M جداشي M تربيه و فوق نقص نص
+
+146
+00:15:56,550 --> 00:16:03,330
+يا راجل يا راجل يا راجل كم مرة نكتب ال N أكبر من
+
+147
+00:16:03,330 --> 00:16:08,060
+الواحد الصحيح بتبقى convert؟يبقى تستعجلش تاني مرة
+
+148
+00:16:08,060 --> 00:16:12,300
+يبقى بناء عليه تبقى ال serious money converge إذا
+
+149
+00:16:12,300 --> 00:16:17,980
+عند المقارنة بدي أمشي أقل من إذا باجي بقوله صار
+
+150
+00:16:17,980 --> 00:16:26,600
+عندي جذر ال N على N زائد اتنين N زائد واحد أقل من
+
+151
+00:16:26,600 --> 00:16:35,540
+جذر ال N على N في Nطب اللي فوق أس نص يبقى بنختصر
+
+152
+00:16:35,540 --> 00:16:44,320
+بيضل على N أس تلاتة على اتنين بقوله بطولكن صميشي
+
+153
+00:16:44,320 --> 00:16:49,340
+لواحد على N أس تلاتة على اتنين من N equal one to
+
+154
+00:16:49,340 --> 00:16:59,300
+infinity convergeP Series السبب بسبب أن P يسوى
+
+155
+00:16:59,300 --> 00:17:05,620
+تلتة على اتنين أكتر من واحد بروح بقوله بي the
+
+156
+00:17:05,620 --> 00:17:15,040
+comparison test ال series الأصلية لصميم من N equal
+
+157
+00:17:15,040 --> 00:17:16,500
+one to infinity
+
+158
+00:17:29,670 --> 00:17:39,040
+السؤال الحادي عشربيقول لي summation من n equal one
+
+159
+00:17:39,040 --> 00:17:46,120
+to infinity لواحد على n factorial بدي أشوف هذا
+
+160
+00:17:46,120 --> 00:17:50,860
+السؤال هل ال series اللي عندنا هذي converge و الله
+
+161
+00:17:50,860 --> 00:17:55,490
+ضيفهوالله و الله ما احنا عارفين يعني مش عارفين كيف
+
+162
+00:17:55,490 --> 00:17:59,950
+نعمل فيها نقارن مع مين يعني تمام؟ لأن ال N
+
+163
+00:17:59,950 --> 00:18:04,610
+factorial لو بده فرقه بده يصير N من ال terms لكن
+
+164
+00:18:04,610 --> 00:18:09,490
+خلّينا نتعرف على شكل ال series في الأول و بناء على
+
+165
+00:18:09,490 --> 00:18:14,950
+الروح نحكم و نشوف كيف فلو جيت هنا بتتعرف على شكل
+
+166
+00:18:14,950 --> 00:18:19,230
+ال series الحد الأولبواحد على واحد factorial اللي
+
+167
+00:18:19,230 --> 00:18:25,670
+هو بواحد التاني واحد على اتنين factorial التالت
+
+168
+00:18:25,670 --> 00:18:31,610
+واحد على تلاتة factorial واحد على اربعة factorial
+
+169
+00:18:31,610 --> 00:18:41,090
+زائد واحد على n factorial زائد إلى ما شاء اللهممكن
+
+170
+00:18:41,090 --> 00:18:46,550
+اتعرف على شكلها اكثر من ذلك لو فكت ال factorial في
+
+171
+00:18:46,550 --> 00:18:52,250
+كل المقامات للحدود اللي موجودة عندنا كيف باجي بقول
+
+172
+00:18:52,250 --> 00:18:58,230
+هذا الكلام يساوي واحد زاد واحد اتنين في واحد زاد
+
+173
+00:18:58,230 --> 00:19:04,510
+واحد على تلاتة في اتنين في واحد زاد واحد على اربعة
+
+174
+00:19:04,510 --> 00:19:12,610
+في تلاتةفى اتنين فى واحد زائد زائد واحد على ان فان
+
+175
+00:19:12,610 --> 00:19:18,210
+ناقص واحد فى تلاتة فى اتنين فى واحد زائد الى ما
+
+176
+00:19:18,210 --> 00:19:26,040
+شاء اللهطب كويس اذا انا حطيت ال series في الشكل
+
+177
+00:19:26,040 --> 00:19:31,480
+الجديد اللى عندنا هذا وبدأجي الان افحص ال series
+
+178
+00:19:31,480 --> 00:19:35,720
+اللى عندنا هذا او الشكل الجديد هل ممكن يكون
+
+179
+00:19:35,720 --> 00:19:42,580
+convergence series و الله divergence series تمام؟
+
+180
+00:19:42,580 --> 00:19:49,010
+باجب اطلع في المثلة ابتبعتيواحد زائد نص زائد سُدس
+
+181
+00:19:49,010 --> 00:19:53,170
+زائد واحد على أربع وعشرين زائد زائد وماشاء الله
+
+182
+00:19:53,170 --> 00:20:00,430
+عليها ماشية كويس طيب الملاحظ ان كل حد بيقل عن الحد
+
+183
+00:20:00,430 --> 00:20:07,050
+اللي جابله واحد مص سُدس واحد على أربع وعشرين يعني
+
+184
+00:20:07,050 --> 00:20:14,270
+رايح لوين يعني في احتمال تكون فيه احتمال مظبوط طيب
+
+185
+00:20:14,270 --> 00:20:18,850
+بلاشمش متأكدين هل هي conversion ولا ضيبية تعال شوف
+
+186
+00:20:18,850 --> 00:20:24,130
+ليها الرأي هذا ايش رأيك فيه لو جيت قلت هذا واحد
+
+187
+00:20:24,130 --> 00:20:32,210
+زائد نص زائد واحد على اتنين في اتنين زائد واحد على
+
+188
+00:20:32,210 --> 00:20:38,630
+اتنين في اتنين في اتنين زائد واحد على اتنين في
+
+189
+00:20:38,630 --> 00:20:44,330
+اتنين في اتنين في اتنين زائد إلى ما شاء الله
+
+190
+00:20:47,650 --> 00:20:54,450
+يبقى أنا عند سيريز بالشكل هذا كتبت سيريز تانية،
+
+191
+00:20:54,450 --> 00:20:58,350
+بدي أبحث ما هي العلاقة ما بين ال two series
+
+192
+00:20:58,350 --> 00:21:02,990
+الأثنين اللي عندي، ال term الأول هو ال term الأول،
+
+193
+00:21:02,990 --> 00:21:07,330
+ال term التاني هو ال term التاني، ال term التالت
+
+194
+00:21:07,330 --> 00:21:14,750
+أقل من ال term التالتالرابع أقل من الرابع واحد على
+
+195
+00:21:14,750 --> 00:21:21,010
+ربع وعشرين أقل من تمون ست أقل من الرابع نص يساوي
+
+196
+00:21:21,010 --> 00:21:24,130
+نص واحد يساوي واحد يبقى ال series الأولى شو علاقة
+
+197
+00:21:24,130 --> 00:21:29,450
+بال series التانية أقل منها ممتاز يبقى بدل اللي
+
+198
+00:21:29,450 --> 00:21:33,410
+يساوي بدي يصير عندي أقل بالشكل اللي عندنا هذا
+
+199
+00:21:33,410 --> 00:21:39,390
+تمام؟ إذا أصبحت ال series الأصلية summation واحد
+
+200
+00:21:39,390 --> 00:21:45,010
+على n factorialمن n equal one to infinity هذا
+
+201
+00:21:45,010 --> 00:21:51,750
+الأصلية أقل منه أطلع
+
+202
+00:21:51,750 --> 00:21:58,230
+لي هنا الحد الأول واحد الحد التاني واحد على اتنين
+
+203
+00:21:58,230 --> 00:22:04,350
+اقصى واحد الحد التالت واحد على اتنين تربيع الحد
+
+204
+00:22:04,350 --> 00:22:11,520
+الرابع واحد على اتنين تكيبيبقى قيمة الحد الأس تبقى
+
+205
+00:22:11,520 --> 00:22:16,840
+أقل من الرتبة بمقدار واحد، ممتاز جدا يعني بقدر
+
+206
+00:22:16,840 --> 00:22:23,320
+أقول هذه ال summation لواحد على اتنين أس N ناقص
+
+207
+00:22:23,320 --> 00:22:30,200
+واحد من N equal one to infinityخلّيني اتأكد اشوف
+
+208
+00:22:30,200 --> 00:22:33,620
+هل الكلام اللي كتبته صحيح هذا والله ما هوش صحيح
+
+209
+00:22:33,620 --> 00:22:38,680
+بحط لإني بواحد بيصير اتنين أقص Zero واحد على واحد
+
+210
+00:22:38,680 --> 00:22:42,860
+واحد هي مظبوطة بعد واحد بيجيني اتنين اتنين نقص
+
+211
+00:22:42,860 --> 00:22:48,980
+واحد بواحد يبقى نص الحمد لله تمام تلاتة نقص واحد
+
+212
+00:22:48,980 --> 00:22:53,020
+باتنين اتنين ترمية اتنين في اتنين اربعة واحد على
+
+213
+00:22:53,020 --> 00:22:59,530
+اتنين تكييف مية لميةطيب ايه الشرايه كانت ال series
+
+214
+00:22:59,530 --> 00:23:02,930
+هذه بقدر اخليها تبدأ من عند الصفر بدل من عند
+
+215
+00:23:02,930 --> 00:23:07,870
+الواحد بيغيروا ال index واخدنا حاجة اسمها re
+
+216
+00:23:07,870 --> 00:23:13,250
+indexing في section عشر اتنين يعني لو شلت كل انه
+
+217
+00:23:13,250 --> 00:23:19,770
+حطيت مكانها n زائد واحد بصير هذه ال summation من n
+
+218
+00:23:19,770 --> 00:23:24,990
+equal zero to infinity لواحد على اتنين نص n
+
+219
+00:23:29,830 --> 00:23:36,570
+أو الشكل العام صميشن من N equal zero to infinity
+
+220
+00:23:36,570 --> 00:23:42,830
+لنص to the power N شو رايح في ال series هذه؟
+
+221
+00:23:42,830 --> 00:23:47,790
+Convert Geometric يتجلي أقل منها بال comparison
+
+222
+00:23:47,790 --> 00:23:54,570
+تستثمر بقى Convert بقول هنا بطولة لكنSummation
+
+223
+00:23:54,570 --> 00:23:59,510
+للوسط of the power N من N equal zero to infinity
+
+224
+00:23:59,510 --> 00:24:11,240
+convergeجيومتريك سيريز السبب ان absolute value ل R
+
+225
+00:24:11,240 --> 00:24:18,260
+يسوى نص أقل من الواحد الصحيح بقول هنا by the
+
+226
+00:24:18,260 --> 00:24:25,080
+comparison test السيريز الأصلي اللي عندنا
+
+227
+00:24:25,080 --> 00:24:30,700
+summation ل 1 على N factorialمن N equal one to
+
+228
+00:24:30,700 --> 00:24:41,020
+infinity converge.من اللي بدى يسأل ايه؟ بتساوى؟
+
+229
+00:24:41,020 --> 00:24:48,380
+لا هي راجل، فيه احتمال انه ميتساوى؟سيريز هذي مش
+
+230
+00:24:48,380 --> 00:24:53,400
+عندي حد هنا سيريز تو infinite يبقى احتمال المساواة
+
+231
+00:24:53,400 --> 00:25:00,700
+غير وارد بتاتا طبعا طيب الان لحد هنا stop انتهينا
+
+232
+00:25:00,700 --> 00:25:04,300
+من النصف الاول من هذا ال section وهو ال comparison
+
+233
+00:25:04,300 --> 00:25:08,640
+test بدنا نيجي للنصف الثاني اللي هو limit
+
+234
+00:25:08,640 --> 00:25:10,360
+comparison test
+
+235
+00:25:21,200 --> 00:25:25,880
+يبقى الاختبار الثاني نمرة اتنين اللي هو ال limit
+
+236
+00:25:25,880 --> 00:25:31,380
+comparison test
+
+237
+00:25:36,770 --> 00:25:41,190
+أحنا قلنا هذا ال section فيه اختبارين المرة اللي
+
+238
+00:25:41,190 --> 00:25:45,810
+فاتت أخدنا نص لاختبار الأول حلنا شوية أمثلة عليه
+
+239
+00:25:45,810 --> 00:25:51,930
+كملنا اليوم باقل أمثلة الأقل بنروح للاختبار الثاني
+
+240
+00:25:51,930 --> 00:25:56,410
+اللي هو ال limit comparison test بنص على ما يأتي
+
+241
+00:25:56,410 --> 00:26:06,530
+suppose that افترض انهالـ A N greater than zero
+
+242
+00:26:06,530 --> 00:26:16,770
+and ال B N greater than zero for all N greater
+
+243
+00:26:16,770 --> 00:26:23,510
+than or equal to N capital و ال N هذا is an
+
+244
+00:26:23,510 --> 00:26:28,710
+integer نمرحل
+
+245
+00:26:28,710 --> 00:26:38,810
+بيقول ليه؟الـ limit لما ال n tends to infinity لل
+
+246
+00:26:38,810 --> 00:26:46,150
+a n على b n يساوي constant c with c greater than
+
+247
+00:26:46,150 --> 00:26:54,990
+zero then summation على a n and summation على b n
+
+248
+00:26:54,990 --> 00:26:58,870
+and
+
+249
+00:26:58,870 --> 00:27:24,590
+summation are bothconverge or both diverge
+
+250
+00:27:24,590 --> 00:27:32,220
+النقطة الثانية من هذا الاختبار نمرة اتنين Fالـ
+
+251
+00:27:32,220 --> 00:27:37,880
+limit لما ال n tends to infinity لل a n على b n
+
+252
+00:27:37,880 --> 00:27:47,020
+يساوي zero and ال summation على b n converge then
+
+253
+00:27:47,020 --> 00:27:55,380
+summation على a n converge كذلكالنقطة الثالثة
+
+254
+00:27:55,380 --> 00:28:02,880
+والاخيرة if limit لما ال N tends to infinity لل A
+
+255
+00:28:02,880 --> 00:28:09,700
+N على B N يسوي infinity and summation على B N
+
+256
+00:28:09,700 --> 00:28:16,800
+diverge then summation على A N diverge كذلك
+
+257
+00:28:16,800 --> 00:28:23,460
+examples test
+
+258
+00:28:24,830 --> 00:28:31,210
+the convergence of
+
+259
+00:28:31,210 --> 00:28:37,330
+the following series
+
+260
+00:28:37,330 --> 00:28:44,550
+السؤال
+
+261
+00:28:44,550 --> 00:28:49,610
+الأول نمرة واحد summation
+
+262
+00:28:51,070 --> 00:28:59,010
+من n equal one to infinity لواحد على n الجذر
+
+263
+00:28:59,010 --> 00:29:04,090
+النوني لمن؟ لانت كيف
+
+264
+00:29:13,990 --> 00:29:18,010
+طبعا انا خدنا ال limit comparison test في حالة ال
+
+265
+00:29:18,010 --> 00:29:22,930
+improper integrals مظبوط وكانت هنا بس النقطة
+
+266
+00:29:22,930 --> 00:29:26,590
+الاولى لكن في ال series عملنا limit comparison
+
+267
+00:29:26,590 --> 00:29:34,790
+test على شكل ثلاث نقاط نرجع للنص سبعه ونحاول نناقش
+
+268
+00:29:34,790 --> 00:29:40,630
+نقاط الثلاث وخليك صحي معايا كويسلحظة عندما أخذنا
+
+269
+00:29:40,630 --> 00:29:43,970
+الانستير ما دورناش الحدود positive ولا negative،
+
+270
+00:29:43,970 --> 00:29:46,690
+لكن عندما جينا لل test integral، قالنا الحدود
+
+271
+00:29:46,690 --> 00:29:50,390
+موجبة. عندما جينا لل test comparison، قالنا الحدود
+
+272
+00:29:50,390 --> 00:29:54,490
+موجبة. عندما جينا لل test limit comparison، قالنا
+
+273
+00:29:54,490 --> 00:30:00,860
+كذلك الحدود بدياها موجبة.قال افترض ان ال a n أكبر
+
+274
+00:30:00,860 --> 00:30:04,920
+من 0 و ال b n أكبر من 0 for all n اللي أكبر من أو
+
+275
+00:30:04,920 --> 00:30:10,200
+يساوي ال n يعني ممكن اجي عند ال واحد ولاجي ال a
+
+276
+00:30:10,200 --> 00:30:13,160
+one موجه بلك ال b one سالم
+
+277
+00:30:25,540 --> 00:30:30,580
+بنفترض بعد عشر حدود يبقى انا بدي ابدأ ان انا نصمش
+
+278
+00:30:30,580 --> 00:30:36,240
+من n equal العشرة ل infinity بصير ال a n أكبر من
+
+279
+00:30:36,240 --> 00:30:39,060
+ال zero و ال b n أكبر من ال zero يبقى بقدر استخدم
+
+280
+00:30:39,060 --> 00:30:45,130
+ال limit comparison تستخدممهما العدد المحدود من
+
+281
+00:30:45,130 --> 00:30:48,950
+حدود ال series لا يؤثر على ال convergence ولا على
+
+282
+00:30:48,950 --> 00:30:55,730
+ال divergence لهذه ال series بيقول جيك جسمت الحد
+
+283
+00:30:55,730 --> 00:31:02,600
+النوني AN على الحد النوني BNيعني BN هذه ال series
+
+284
+00:31:02,600 --> 00:31:07,180
+تانية هو بيعطيها لي غير ال AN؟ لأ، هو بيعطيني ال
+
+285
+00:31:07,180 --> 00:31:10,760
+series واحدة، هاي السؤال، بيعطيني ال series واحدة
+
+286
+00:31:10,760 --> 00:31:15,700
+طب و أنا إيش بدأ أسويه؟ أنت لحالك بدك تروح تجيب ال
+
+287
+00:31:15,700 --> 00:31:19,640
+series تانية ال series التانية بدأت تكون معروفة
+
+288
+00:31:19,640 --> 00:31:23,100
+بالنسبالك هل هي converged أو diverged قبل ما نبدأ
+
+289
+00:31:23,100 --> 00:31:27,620
+يعني ال summation على BN معروفة بالنسبالي هل هي
+
+290
+00:31:27,620 --> 00:31:32,490
+convergedأو the very waffle غالب بتكون واحدة من
+
+291
+00:31:32,490 --> 00:31:36,210
+التلاتة المشهورة طب بدي أجيبها من وين؟ بدي أجيبها
+
+292
+00:31:36,210 --> 00:31:40,510
+من ال series اللي موجودة عندي يعني بدي أخلق series
+
+293
+00:31:40,510 --> 00:31:46,190
+من ال series اللي موجودة كل سؤال بما يناسبه تمام؟
+
+294
+00:31:46,770 --> 00:31:51,450
+بقول كويس خلقنا series of motion على BN واخدنا
+
+295
+00:31:51,450 --> 00:31:56,450
+الحد النوني تبعها يلجأ N على BN أخدت ال limit لما
+
+296
+00:31:56,450 --> 00:32:00,810
+ال N بدأ تروح لمالة نهاية طلع الناتج قيمة عددية
+
+297
+00:32:00,810 --> 00:32:06,100
+وهذه القيمة أكبر من 200لا يمكن تجي أقل من ال zero
+
+298
+00:32:06,100 --> 00:32:10,100
+لإيش؟ لأن ال two are positive من ورم الدجين السالب
+
+299
+00:32:10,100 --> 00:32:15,940
+يبقى دائما و أبدا هتكون مالها أكبر من ال zero إذا
+
+300
+00:32:15,940 --> 00:32:22,300
+حدث ذلك طبعا في أي رقم و ليس رقم محدد إذا حدث ذلك
+
+301
+00:32:22,300 --> 00:32:25,520
+سيكون ال series تبعت البصر و ال series تبعت المقام
+
+302
+00:32:25,520 --> 00:32:29,880
+اتنين حبايب هدي converge هدي converge هدي diverge
+
+303
+00:32:29,880 --> 00:32:30,680
+هدي diverge
+
+304
+00:32:40,350 --> 00:32:44,150
+تبع المقام Convergent وتبع المصدر Convergent تبع
+
+305
+00:32:44,150 --> 00:32:47,270
+المقام Convergent وتبع المصدر Convergent
+
+306
+00:32:48,960 --> 00:32:53,780
+لو أخدت limit الان على ال b انه طلع يساوي zero
+
+307
+00:32:53,780 --> 00:32:59,560
+وطلعت في تبعة المقام وجدت convert إذا النتج يساوي
+
+308
+00:32:59,560 --> 00:33:03,840
+zero تبعة المقام convert إذا تبعة ال bus convert
+
+309
+00:33:03,840 --> 00:33:08,090
+على قول الخطالنقطة التالتة اللي أخدت ال limit و
+
+310
+00:33:08,090 --> 00:33:12,650
+لجيتها infinity و روحت ل series تبع المقام لجيتها
+
+311
+00:33:12,650 --> 00:33:18,190
+by var يرجع تبع البصمة لها by var السؤال اللي بدور
+
+312
+00:33:18,190 --> 00:33:22,710
+الآن في دماغ البعض منكم طيب لو روحنا أخدنا ال
+
+313
+00:33:22,710 --> 00:33:26,770
+limit هذا و طلعت يساوي zero و روحنا على ال
+
+314
+00:33:26,770 --> 00:33:32,740
+summation علبي انه لجيتها by varبفشل الاختبار يعني
+
+315
+00:33:32,740 --> 00:33:36,220
+الاختبار هذا لا نستطيع بيه الحكم على ال series هل
+
+316
+00:33:36,220 --> 00:33:40,800
+هي converge او diverge و بروح ندورنا على اي اختبار
+
+317
+00:33:40,800 --> 00:33:45,960
+من الاختبار ذات السابق اللتي سبقت دراستها ما ينطبق
+
+318
+00:33:45,960 --> 00:33:49,540
+هنا ينطبق هنا يعني لجهة ال limit هذه infinity لكن
+
+319
+00:33:49,540 --> 00:33:54,630
+هذه convergeمش by verge يبقى تبع تلبس الله أعلم قد
+
+320
+00:33:54,630 --> 00:33:59,110
+تكون converge و قد تكون by verge احنا بنعرفه يبقى
+
+321
+00:33:59,110 --> 00:34:03,630
+بيفشل الاختبار في هذه الحالة حد يلو أي تسوان هنا
+
+322
+00:34:03,630 --> 00:34:09,910
+قبل أن ندخل على الأمثلة فضل اه
+
+323
+00:34:11,800 --> 00:34:20,340
+يعني عدد الاختبارات قصت لا هي راجل .. لا ما هو انت
+
+324
+00:34:20,340 --> 00:34:26,280
+لما تحل مثال بصير بمجرد النظر تعرف مين الاختبار
+
+325
+00:34:26,280 --> 00:34:30,560
+اللي بدك تستخدمهلكن إذا بيكتفي بالأمثلة اللي
+
+326
+00:34:30,560 --> 00:34:35,640
+بتاخدها هنا، بيقول يمكن تنجح، يمكن، اه يعني
+
+327
+00:34:35,640 --> 00:34:39,100
+الرياضيات اللي روح تمسك جلمك و تشغل، مااشتغلتش
+
+328
+00:34:39,100 --> 00:34:43,240
+بجلمك، انت لا سابع رياضيات ولا بتعرف رياضيات، انت
+
+329
+00:34:43,240 --> 00:34:46,800
+حافظلك أكم مثال ولا طريقة أكم مثل انقاد يزيهم
+
+330
+00:34:46,800 --> 00:34:52,070
+يتحلوا، خدناشدانا المشوية السؤال تبقى راحة العلم
+
+331
+00:34:52,070 --> 00:34:58,050
+وانت صافيت على شجة، اذا لازم تتمرس عن طريق حل
+
+332
+00:34:58,050 --> 00:35:03,330
+المسائل واحنا لما نجيبك سؤال لا نقيدك بأي اختبار،
+
+333
+00:35:03,330 --> 00:35:05,790
+بيقولك test the convergence of the following
+
+334
+00:35:05,790 --> 00:35:11,470
+series وانت حر استخدم الاختبار الذي تراه مناسبا
+
+335
+00:35:11,470 --> 00:35:15,910
+وقد تستغرب ان السؤال يحل ب3 او 4 اختباراتكل واحد
+
+336
+00:35:15,910 --> 00:35:21,210
+بيحلوا شكل يبدأ كله حسب ما يهديه ربنا في عقله هذا
+
+337
+00:35:21,210 --> 00:35:25,570
+ويكتشف الطريقة ويكتشف الاختبار اللي بيحله على أي
+
+338
+00:35:25,570 --> 00:35:31,970
+حال على أي حال كل هذا من نتركه لأن هذا بوسع مدارك
+
+339
+00:35:31,970 --> 00:35:35,190
+و بصير يتفكر كويس بس لو قلتك استخدم الطريقة
+
+340
+00:35:35,190 --> 00:35:38,990
+الفلانية انا ماشغلتش بخك بصير انت زي اللي نايم
+
+341
+00:35:38,990 --> 00:35:42,460
+خلاص automatic بشتغلهاأي نعم، لكن لما أقول لك
+
+342
+00:35:42,460 --> 00:35:45,740
+استخدام اللي بدك إياه، بصيت فاكر مين اللي بينفع
+
+343
+00:35:45,740 --> 00:35:49,560
+فيهم، هذا لأ، هذا أه، يبقى أنت صارت ال thumbs
+
+344
+00:35:49,560 --> 00:35:53,600
+ووسعنا المدارس العالمية بالنسبالك، اعني بالك معاك
+
+345
+00:35:53,600 --> 00:35:56,760
+هنا، الآن بدنا نبدأ ناخد أمثلة على الكلام اللي
+
+346
+00:35:56,760 --> 00:36:00,160
+بنقوله، جالي يشوف لي هال series هذي convert، قوله
+
+347
+00:36:00,160 --> 00:36:06,740
+ضيفين، بدي أنا بقى تساءلمن أقرب series على هذه ال
+
+348
+00:36:06,740 --> 00:36:10,960
+series أنا عارفهم مسبقا هل هي convergent او
+
+349
+00:36:10,960 --> 00:36:19,020
+divergent اقرب
+
+350
+00:36:19,020 --> 00:36:25,460
+واحد عليهم واحد علي n اذا انا بقول عندنا summation
+
+351
+00:36:25,460 --> 00:36:32,180
+واحد علي n هي divergent harmonic series
+
+352
+00:36:34,490 --> 00:36:40,370
+يبقى بنروح اخد ال limit لما ال N tends to infinity
+
+353
+00:36:40,370 --> 00:36:47,990
+لواحد على ان الجذر النوني ل N تكيب تقسيم واحد على
+
+354
+00:36:47,990 --> 00:36:52,550
+N يبقى يسوي ال limit لما ال N tends to infinity
+
+355
+00:36:52,550 --> 00:37:03,830
+تطلع ال N فوق على ال N وهذا N تكيبان تكيب أس واحد
+
+356
+00:37:03,830 --> 00:37:11,370
+على ان تختصر ان مع ان يبقى بصير المسألة limit لما
+
+357
+00:37:11,370 --> 00:37:17,950
+الان till infinity لواحد على ان أس واحد على ان
+
+358
+00:37:17,950 --> 00:37:23,610
+الكل تكيب يبقى ان تكيب أس واحد على ان والله ان أس
+
+359
+00:37:23,610 --> 00:37:28,470
+واحد على ان الكل تكيب الاتنين are the sameالـ
+
+360
+00:37:28,470 --> 00:37:33,070
+limit هذه لو جيت حسبتها يبقى واحد على .. هذه من ال
+
+361
+00:37:33,070 --> 00:37:36,530
+standard المعروفة من الست limits المشهورة اللي
+
+362
+00:37:36,530 --> 00:37:42,750
+أعطينالك في جدول، هذه رقم قداش منهم؟ الرقم اتنين،
+
+363
+00:37:42,750 --> 00:37:48,870
+يبقى هذه قيمتها بواحد تكيب، يبقى النتيجة يسوى قداش
+
+364
+00:37:50,330 --> 00:37:54,330
+رقم والرقم أكبر من الـ zero يبقى بال limit
+
+365
+00:37:54,330 --> 00:37:58,730
+comparison test ال series اللي قارننا معاها وال
+
+366
+00:37:58,730 --> 00:38:02,690
+series الأصلية اتنين زي بعض طب اللي قارننا معاها
+
+367
+00:38:02,690 --> 00:38:06,930
+by verge إذا ال series التانية معاها by verge
+
+368
+00:38:06,930 --> 00:38:12,910
+فبروح بقوله by the limit comparison test the
+
+369
+00:38:12,910 --> 00:38:13,730
+series
+
+370
+00:38:32,070 --> 00:38:37,590
+السؤال الثاني يقول
+
+371
+00:38:39,650 --> 00:38:48,070
+من N equal one to infinity للجذر النوني ل N على N
+
+372
+00:38:48,070 --> 00:38:48,850
+تربيع
+
+373
+00:38:52,210 --> 00:38:59,770
+ماشي الحاجة high summation 1 على N تربية convert P
+
+374
+00:38:59,770 --> 00:39:08,850
+series السبب بسبب أن P يسوى 2 أكبر من 1 يبقى بدنا
+
+375
+00:39:08,850 --> 00:39:14,530
+ناخد limit لما ال N tends to infinity لل N أس 1
+
+376
+00:39:14,530 --> 00:39:21,270
+على N على N تربية تقسيم 1 على N تربيةيبقى هذا كلام
+
+377
+00:39:21,270 --> 00:39:26,770
+limit لما ال N tends to infinity لل N أس واحد على
+
+378
+00:39:26,770 --> 00:39:31,850
+N واحد على N تربية تختصر مع واحد على N تربية بيبقى
+
+379
+00:39:31,850 --> 00:39:37,630
+ال N أس واحد على N ليه بيجداش بواحد كذلك أكبر من
+
+380
+00:39:37,630 --> 00:39:44,570
+ال zero بروح بقوله by the limit comparison test
+
+381
+00:40:01,200 --> 00:40:03,320
+السؤال التالت
+
+382
+00:40:07,080 --> 00:40:12,100
+سؤال التالت بيقوللي ال summation من n equal one to
+
+383
+00:40:12,100 --> 00:40:19,640
+infinity ل tan واحد على m بدنا نشوف هل ال series
+
+384
+00:40:19,640 --> 00:40:26,650
+هذي converge ولا divergeيا الله طلع فيها كويس وشوف
+
+385
+00:40:26,650 --> 00:40:32,590
+مين أقرب series عليها ممكن نعمل مقارنة بينها
+
+386
+00:40:32,590 --> 00:40:37,730
+وبينها وبالتالي نتوصل لل convergence أو ال
+
+387
+00:40:37,730 --> 00:40:47,190
+divergence تبعتان واحد على انف، مين؟ طيب نجرب،
+
+388
+00:40:47,190 --> 00:40:56,180
+يبقى وقت بسم الله بيقول الانف، ولا لا؟الان الان
+
+389
+00:40:56,180 --> 00:41:01,320
+اعتبر سمعي مش مظبوط يبقى لو روحنا اخدنا summation
+
+390
+00:41:01,320 --> 00:41:06,660
+واحد على ان summation واحد على ان هي diverse
+
+391
+00:41:06,660 --> 00:41:15,770
+harmonic سيريز بدنا نروح ناخد limitلما ال N tends
+
+392
+00:41:15,770 --> 00:41:22,790
+to infinity لتان واحد على N كله على واحد على M
+
+393
+00:41:22,790 --> 00:41:29,530
+التعويض المباشر يعطينا Zero على Zero يبقى نستخدم
+
+394
+00:41:29,530 --> 00:41:34,070
+قاعدة Lobital يبقى limit لما ال N tends to
+
+395
+00:41:34,070 --> 00:41:35,910
+infinity تفضل التان
+
+396
+00:41:47,500 --> 00:41:53,460
+نختصر لاختصارات هادي مع السلامة بصير limit لما ال
+
+397
+00:41:53,460 --> 00:41:59,040
+N tends to infinity لsec تربية 1 على N
+
+398
+00:42:02,540 --> 00:42:10,500
+زيرو سك الزيرو بواحد تربيع اللي هو بواحد كذلك اذا
+
+399
+00:42:10,500 --> 00:42:16,200
+سوى الرقم والرقم اكبر من مين من الزيرو يبقى
+
+400
+00:42:16,200 --> 00:42:20,620
+التنتين هذا اللي لهم بيبقى بعض يبقى باجي بقوله by
+
+401
+00:42:20,620 --> 00:42:28,020
+the limit comparison test the series summation
+
+402
+00:42:28,020 --> 00:42:31,280
+لتان واحد على M
+
+403
+00:42:34,610 --> 00:42:40,690
+سؤال الرابع الرابع
+
+404
+00:42:40,690 --> 00:42:48,990
+summation من N equal to infinity لواحد على N
+
+405
+00:42:48,990 --> 00:42:57,430
+الجدرد تربية ل N تربية ناقص واحد واحد
+
+406
+00:42:57,430 --> 00:42:58,170
+على مين؟
+
+407
+00:43:01,940 --> 00:43:06,740
+أحد الشباب يقترح انه نقارن مع واحد على ان بقوله
+
+408
+00:43:06,740 --> 00:43:11,380
+تمام يبقى لمة المقدار هذا مقسوما على واحد على ان
+
+409
+00:43:11,380 --> 00:43:16,680
+تقلع ان فور وتروح مع ان لتاع بصير واحد على الجذر
+
+410
+00:43:16,680 --> 00:43:23,390
+واحد على ما لريهاية تبزينه وتبعت المقام بيفيريبقى
+
+411
+00:43:23,390 --> 00:43:28,430
+فشل الاختبار في الحكم مش اللي فشل الاختبار،
+
+412
+00:43:28,430 --> 00:43:31,950
+والاختبار فشل بناءً على ال series اللي اختارها،
+
+413
+00:43:31,950 --> 00:43:36,930
+يبقى اختياره في هذه الحالة اختيارًا خاطرًا، وعلى
+
+414
+00:43:36,930 --> 00:43:40,530
+ال interviewer، يبقى الأقرب للحساب الذاتي اللي هو
+
+415
+00:43:40,530 --> 00:43:45,650
+أحد على ال interviewer، ليش؟أي الـ N و هذا جذر الـ
+
+416
+00:43:45,650 --> 00:43:50,590
+N تربية و كمان N يبقى باجي بقول احنا بنعرف
+
+417
+00:43:50,590 --> 00:43:58,430
+summation 1 على N تربية converge P series
+
+418
+00:44:00,010 --> 00:44:08,810
+بسبب أن P يساوي 2 أكبر من الواحدة الصحية نروح ناخد
+
+419
+00:44:08,810 --> 00:44:14,170
+limit لما ال N tends to infinity لواحد على N
+
+420
+00:44:14,170 --> 00:44:18,750
+الجدرى التربية ل N square minus one كله بدا يقسم
+
+421
+00:44:18,750 --> 00:44:24,490
+على واحد على N تربية يساوي limit لما ال N tends to
+
+422
+00:44:24,490 --> 00:44:30,180
+infinityلمن؟ لل N على الجدرى التربية ل N تربية
+
+423
+00:44:30,180 --> 00:44:35,340
+ناقصها جلبناها طلعت فوق اختصت مع ال N اللي تعثر
+
+424
+00:44:35,340 --> 00:44:39,680
+بالشكل هذا الان تعاود مباشر بيعطيني infinity على
+
+425
+00:44:39,680 --> 00:44:45,640
+infinity ياما بستخدم قاعدة لوميتاليا إما بجسم البص
+
+426
+00:44:45,640 --> 00:44:50,120
+والمقام على إن المرفوع عليه أكبر Os في المقام يعني
+
+427
+00:44:50,120 --> 00:44:54,820
+جدوش على إن وليس على إن تربيها لإن وإن تربيها تحت
+
+428
+00:44:54,820 --> 00:45:00,800
+الجدر التربيعي إذا لو جسمنا كل من البص والمقام على
+
+429
+00:45:00,800 --> 00:45:06,160
+إن بصير عندي واحد هنا لما أجسمها إن هدخلها تحت
+
+430
+00:45:06,160 --> 00:45:11,940
+الجدرتدخل تحت الجدر بإن تربية بصير ال square root
+
+431
+00:45:11,940 --> 00:45:17,700
+ل واحد ناقص واحد على إن تربية هذا ب zero والنتيجة
+
+432
+00:45:17,700 --> 00:45:22,520
+يستوي واحد الأولية converge إذا التانية مالها يبقى
+
+433
+00:45:22,520 --> 00:45:28,940
+باجي بقوله by the limit comparison test the series
+
+434
+00:45:28,940 --> 00:45:34,420
+summation واحد على إن الجدر التربي لإن square
+
+435
+00:45:34,420 --> 00:45:45,380
+minus oneconverge كذلك سؤال
+
+436
+00:45:45,380 --> 00:45:57,720
+الخامس summation من N equal one to infinity لواحد
+
+437
+00:45:57,720 --> 00:46:01,660
+على واحد زائد ضمن ال N
+
+438
+00:46:06,550 --> 00:46:10,870
+خلّوا يباركوا هنا خلّوه
+
+439
+00:46:10,870 --> 00:46:11,470
+يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا
+
+440
+00:46:11,470 --> 00:46:11,470
+خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا
+
+441
+00:46:11,470 --> 00:46:12,670
+هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه
+
+442
+00:46:12,670 --> 00:46:15,950
+يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا هنا
+
+443
+00:46:15,950 --> 00:46:15,970
+خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا
+
+444
+00:46:15,970 --> 00:46:17,470
+هنا خلّوه يباركوا هنا خلّوه يباركوا هنا خلّوه
+
+445
+00:46:17,470 --> 00:46:25,810
+يباركوا هنا خلّوه يباركوا هنا خلّوه يباركوا
+
+446
+00:46:25,810 --> 00:46:32,590
+هنا خلّوه
+
+447
+00:46:33,130 --> 00:46:37,870
+يبقى لما أقعد أطلع في المثل هذه بلاحظ أنه أقرب
+
+448
+00:46:37,870 --> 00:46:42,630
+series عليها من اللي احنا عارفينهم واحد علي N
+
+449
+00:46:42,630 --> 00:46:48,430
+مظبوط، بنجرب، ضبطت، أهل الوسالة، ما ضبطت، بنقوا،
+
+450
+00:46:48,430 --> 00:46:54,270
+هنغيرها، الشغل في بيننا، إذاً بدي أجرب summation
+
+451
+00:46:54,270 --> 00:47:01,590
+واحد علي N اللي هي diverse harmonic series
+
+452
+00:47:04,050 --> 00:47:10,130
+يبدأ باخذ limit لما ال N tends to infinity ل 1 1
+
+453
+00:47:10,130 --> 00:47:18,500
+زائد لن ال N تقسيم 1 على Nيبقى هذا الكلام بده
+
+454
+00:47:18,500 --> 00:47:25,100
+يستوي ال limit لما ال N تنزله infinity لل N واحد
+
+455
+00:47:25,100 --> 00:47:31,260
+ذائب من ال N نرجع لسؤالنا التاني يبقى جلبنا طلعت
+
+456
+00:47:31,260 --> 00:47:35,580
+ال N فوق و صارت تانية تحته تعوده المباشر بيجيبلي
+
+457
+00:47:35,580 --> 00:47:42,430
+infinity على infinityيبقى بقاعدة Lobital limit لما
+
+458
+00:47:42,430 --> 00:47:49,230
+ال N tends to infinity للواحد على مشتقت هذا بالصفر
+
+459
+00:47:49,230 --> 00:47:56,470
+ومشتقت هذا بالواحد على N يبقى الصعب limit لما ال N
+
+460
+00:47:56,470 --> 00:48:03,630
+tends to infinity لمن؟ لإن النتج جدوش Infinityطيب
+
+461
+00:48:03,630 --> 00:48:12,190
+تبعت المقام diverse والنتيجة infinity بقوله by the
+
+462
+00:48:12,190 --> 00:48:20,230
+limit comparison test the series summation للواحد
+
+463
+00:48:20,230 --> 00:48:27,950
+على واحد زائد لن ال N اللي هو diverse كذلك ات واحد
+
+464
+00:48:27,950 --> 00:48:33,410
+من الشباب قال ايه؟قال انت بشوفك كله limit
+
+465
+00:48:33,410 --> 00:48:37,970
+comparison يعني بنفعش بال comparison والله التكامل
+
+466
+00:48:37,970 --> 00:48:42,070
+والله ال end term والله اللي فات بقولك ممكن ينفعش
+
+467
+00:48:42,070 --> 00:48:46,830
+جرب الحين هذا لو بدي اجي اخد ال end term شاف احد
+
+468
+00:48:46,830 --> 00:48:51,740
+عمل نهاية ب zero فاشل لحد انونينستطيع ان نكمل واحد
+
+469
+00:48:51,740 --> 00:48:54,980
+على واحد زائد لان جمل لم يتم تكمله بعد انك تبحث عن
+
+470
+00:48:54,980 --> 00:49:00,240
+الشروط التالتة جزء طويلة وبعدين تكملها سابع يبقى
+
+471
+00:49:00,240 --> 00:49:04,500
+بروح ال comparison ووصلت ال comparison بقوله اه هو
+
+472
+00:49:04,500 --> 00:49:12,190
+الواحد على واحد زائد لان ال Mطبعا اقرب واحدة اللي
+
+473
+00:49:12,190 --> 00:49:15,550
+احنا طلعناها diverge مظبوط اذا diverge معناته ده
+
+474
+00:49:15,550 --> 00:49:23,410
+ماشي اكبر من بقولها اكبر من واحد على لن الان صحيح؟
+
+475
+00:49:23,410 --> 00:49:31,190
+لأ مش صحيح يبقى بقوله زائد لن لن تمشي الحال؟ يعني
+
+476
+00:49:31,190 --> 00:49:38,530
+هذا واحد على اتنين لن لن شو علاقة بواحد على اتنين
+
+477
+00:49:38,530 --> 00:49:48,430
+ان؟أقل ولا أكبر؟ أقل لغرثم العدد أقل من العدد إذا
+
+478
+00:49:48,430 --> 00:49:53,990
+الكثر هذا له أكبر إذا هذا الكثر أكبر من الكثر اللي
+
+479
+00:49:53,990 --> 00:49:58,430
+عندنا هذا واحد على اتنين لإن ال N أكبر كثيرا من
+
+480
+00:49:58,430 --> 00:50:05,710
+واحد على اتنين N بقوله بطوى لكن نص summation واحد
+
+481
+00:50:05,710 --> 00:50:13,950
+على N by very harmonicالسي ريز يفجه هنا by the
+
+482
+00:50:13,950 --> 00:50:21,210
+comparison test the series summation للواحد زائد
+
+483
+00:50:21,210 --> 00:50:26,530
+ذن ال N diverged وانتهينا من هنا على أي حال يعني
+
+484
+00:50:26,530 --> 00:50:30,950
+احنا لما نيجي نشغل في ال section هذا كل اختبارات
+
+485
+00:50:30,950 --> 00:50:35,550
+السابقة يمكن استخدامها تهرب تستخدمها ماشي بدكش
+
+486
+00:50:35,550 --> 00:50:39,620
+تستخدمها ماشي سياملازم في نفس ال section و لما
+
+487
+00:50:39,620 --> 00:50:43,800
+ننتهي بعد يوم السبت ان شاء الله بنكمل هذا ال
+
+488
+00:50:43,800 --> 00:50:47,200
+section و بنبدأ في ال section الجديد
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/6MhDf1e0NL8_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/6MhDf1e0NL8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cbc0d0666e3a702e5d674fe4836b2233fa55c48f
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/6MhDf1e0NL8_postprocess.srt
@@ -0,0 +1,1856 @@
+1
+00:00:09,440 --> 00:00:15,180
+بسم الله الرحمن الرحيمحابين نذكر ان الامتحان النصف
+
+2
+00:00:15,180 --> 00:00:20,600
+الأول ان شاء الله بعد أسبوعين يعني الثلاثاء بعد
+
+3
+00:00:20,600 --> 00:00:25,460
+القادم في مثل هذا اليوم ان شاء الله الساعة أحداشر
+
+4
+00:00:25,460 --> 00:00:28,360
+والقاع بجبالكوا ان شاء الله في الأسبوع القادم
+
+5
+00:00:28,360 --> 00:00:34,720
+الحدد الكل هو القاع ماشي P 302؟ خلاص بتموم P 302
+
+6
+00:00:38,290 --> 00:00:42,170
+يبقى شعبكوا كلها ليه واحد و تمانين طالب القعب يه
+
+7
+00:00:42,170 --> 00:00:46,770
+تلات مية و اتنين في المبنى اللي جبال المبنى القدس
+
+8
+00:00:46,770 --> 00:00:52,430
+طيب نرجع لموضوعنا هذا لازلنا في موضوع relative
+
+9
+00:00:52,430 --> 00:00:56,630
+rates of growth المرة اللي فاتت أخدنا definition
+
+10
+00:00:56,630 --> 00:01:02,130
+وهذه ملاحظة مرتبطة بهذا ال definition وهي أخر نقطة
+
+11
+00:01:02,130 --> 00:01:07,790
+موجودة في هذا الsectionبقول إذا كانت الدالة f
+
+12
+00:01:07,790 --> 00:01:13,710
+grows at the same rate as g أو f grow at the same
+
+13
+00:01:13,710 --> 00:01:18,550
+rate as x tends to infinity وفي نفس الوقت كان g
+
+14
+00:01:18,550 --> 00:01:22,930
+grows at the same rate as h as x tends to infinity
+
+15
+00:01:23,430 --> 00:01:29,850
+يبجد من الأولى مع الأخيرة ال F مع H اتنين grow at
+
+16
+00:01:29,850 --> 00:01:33,970
+the same rate as X tends to infinity that is
+
+17
+00:01:33,970 --> 00:01:38,110
+الكلام اللي قلناه بنروح نعبر عنه بصيغة رياضية
+
+18
+00:01:38,580 --> 00:01:43,060
+الأولى F grows زي G as X tends to infinity يعني لو
+
+19
+00:01:43,060 --> 00:01:47,280
+جسمت اتنين على بعض واخدت limit لما ال X بدأ تروح
+
+20
+00:01:47,280 --> 00:01:54,120
+للملنيا بتعطيني رقم L1 و L1 محصور بين ال zero و ال
+
+21
+00:01:54,120 --> 00:02:00,400
+infinity بعدد موجة اتنينالنقطة التانية جي و الـ h
+
+22
+00:02:00,400 --> 00:02:04,620
+grow at the same rate يبقى مع الكلام ان ال limit
+
+23
+00:02:04,620 --> 00:02:08,020
+الـ g of x علي h of x لما الـ x بدها تروح للمالة
+
+24
+00:02:08,020 --> 00:02:14,200
+نهاية بدها تساوي L2 و ال L2 محصورة بين ال zero بين
+
+25
+00:02:14,200 --> 00:02:20,900
+ال infinityإن حدث ذلك يبقى بكل هذا بيكون ال F و ال
+
+26
+00:02:20,900 --> 00:02:25,200
+H grow at the same rate as X tends to infinity
+
+27
+00:02:25,200 --> 00:02:31,440
+بيبقى نعبر عن ذلك بصيغة رياضية تالية limit لما ال
+
+28
+00:02:31,440 --> 00:02:39,220
+X tends to infinity لل F of X على مين؟ على ال H of
+
+29
+00:02:39,220 --> 00:02:46,770
+Xهذا limit لما ال X tends to infinity هذه ممكن
+
+30
+00:02:46,770 --> 00:02:51,450
+اكتبها بطريقة أخرى لو ضربت في واحد صحيح حال تتغير
+
+31
+00:02:51,450 --> 00:02:56,950
+القيمة بدي اعتبر الواحد الصحيح هو G of X على G of
+
+32
+00:02:56,950 --> 00:03:03,630
+X يبقى بيصير limit ال F of X على ال G of X في ال G
+
+33
+00:03:03,630 --> 00:03:10,620
+of X على ال H of X ويساويبقى ال limit بتدخل على كل
+
+34
+00:03:10,620 --> 00:03:17,560
+واحدة فيهم يبقى limit الأولى هذا بجداش ال one يبقى
+
+35
+00:03:17,560 --> 00:03:26,070
+هذا ال one و limit التاني هذا ال twoالـ L1 و L2 هم
+
+36
+00:03:26,070 --> 00:03:29,730
+عمومات حقيقية لأن المحصولة بين الـ 0 و 1 يبقى حاصل
+
+37
+00:03:29,730 --> 00:03:36,990
+ضربهم برضه يبقى عمومات حقيقية وهذا يستوى لـ L1 L2
+
+38
+00:03:36,990 --> 00:03:44,870
+و L1 L2 أكبر من 0 أقل من 100ما هو معنى هذا الكلام؟
+
+39
+00:04:06,500 --> 00:04:11,500
+متى نلجأ لاستخدام هذه الـ remark بحل المسائل
+
+40
+00:04:11,500 --> 00:04:15,840
+المختلفة؟ لنقول أبدا، المرة اللي فات بكدا، ناخد
+
+41
+00:04:15,840 --> 00:04:18,800
+الـ two functions، نحط التنتين على بعض و ناخد ال
+
+42
+00:04:18,800 --> 00:04:22,420
+limit و نحسب ال limit هذه أحيانا يمكن تيجي تعمل
+
+43
+00:04:22,420 --> 00:04:26,820
+هميجة وتاخد limit لاجيها صعبة فلما تلاجيها صعبة،
+
+44
+00:04:26,820 --> 00:04:33,300
+نضطر ندخل دالة وسيطية ما بين الاتنينالذلة بندخلها،
+
+45
+00:04:33,300 --> 00:04:36,960
+بنجيبها من مين؟ من شكل الدليتين اللي موجودين، مش
+
+46
+00:04:36,960 --> 00:04:42,540
+حيالها يعني لا تجيب ولا تحطق وخلاص نحطها، لأ بدنا
+
+47
+00:04:42,540 --> 00:04:49,300
+نحاول نستنتجها من شكل الدليتين الأخرين نعطي مثال
+
+48
+00:04:49,300 --> 00:04:59,200
+توضيحي على ذلك يبقى بنجي ناخد example بيقول
+
+49
+00:04:59,200 --> 00:05:08,240
+المثال show thatshow that بيلي ان الجذر التربية
+
+50
+00:05:08,240 --> 00:05:17,080
+إلى x تربية زائد خمسة and اتنين جذر ال x ناقص واحد
+
+51
+00:05:17,080 --> 00:05:20,160
+لكل تربية اقرأ
+
+52
+00:05:21,900 --> 00:05:31,960
+at the same rate as x tends to n ماتيني دالتين و
+
+53
+00:05:31,960 --> 00:05:35,740
+قال بيبيني ان الدالتين هدول grow at the same rate
+
+54
+00:05:35,740 --> 00:05:40,840
+حسب المفهوم اللي احنا عارفينه قبل ذلك ممكن نقسم
+
+55
+00:05:40,840 --> 00:05:43,920
+اتنين على بعض واخد ال limit لما ال x بده تروح لما
+
+56
+00:05:43,920 --> 00:05:48,880
+لنهايةويمكن يطلع الأمر في نوع من الصعوبة لذلك
+
+57
+00:05:48,880 --> 00:05:55,060
+بنحاول ندخل دالة في المصم بين الدالتين هذول زي ما
+
+58
+00:05:55,060 --> 00:05:59,640
+كانت جي في المص جاية بين من مين بين ال F وH كيف
+
+59
+00:05:59,640 --> 00:06:03,700
+باجي بقول مين اللي أكبر لما ال X بتروح للملن يعني
+
+60
+00:06:03,700 --> 00:06:09,030
+ال X سبيع و الله خمسةالـ X أربعة يبقى الخمسة هذه
+
+61
+00:06:09,030 --> 00:06:13,590
+مع السلامة وما بيظل إيهاش الذي يتحكم في سلوك هذه
+
+62
+00:06:13,590 --> 00:06:18,290
+الدلة هو الـ X أربعة بس تحت الجذب يعني باكمة تطلع
+
+63
+00:06:18,290 --> 00:06:25,510
+X يبقى هذه ممكن أخد X جريبة جدا على هذه الدلة نجي
+
+64
+00:06:25,510 --> 00:06:30,390
+للدلة التانية هذه لو ربعتها بيصير مربعة الكمية
+
+65
+00:06:30,390 --> 00:06:37,000
+الأولى أربعة X مظبوط؟زائد ضعف حاصل ضرب الكميتين
+
+66
+00:06:37,000 --> 00:06:43,840
+زائد أربعة نقص أربعة جذر ال X زائد واحد يبقى
+
+67
+00:06:43,840 --> 00:06:49,680
+الكبرى فيهم مين؟ اللي هي ال X والله جذر ال X ال X
+
+68
+00:06:49,680 --> 00:06:54,860
+هي الأكبر يبقى X من هنا كمان ممكن أخدها قريبة جدا
+
+69
+00:06:54,860 --> 00:06:59,740
+أو هي اللي تتحكم في سلوك الدلل لأنها هذيإذا صارت X
+
+70
+00:06:59,740 --> 00:07:03,620
+هذه كإنها وسيط مشترك بين الـ function الأولى و
+
+71
+00:07:03,620 --> 00:07:08,500
+الماية و الـ function التانية، إذا بنقدر نقارن هذه
+
+72
+00:07:08,500 --> 00:07:12,940
+مع الـ X و نقارن الثانية هذه مع الـ X، انطلاقة
+
+73
+00:07:12,940 --> 00:07:16,100
+الأولى has the same rate, grow at the same rate و
+
+74
+00:07:16,100 --> 00:07:18,640
+التانية grow at the same rate as X tends to
+
+75
+00:07:18,640 --> 00:07:22,700
+infinity زي ما جل في الجيوز النظريأذا بصير الدالة
+
+76
+00:07:22,700 --> 00:07:28,100
+الأولى والأخيرة grow at the same rate as x tends
+
+77
+00:07:28,100 --> 00:07:32,260
+to infinity الكلام اللي بنحكيه هنا نظري بنروح نحطه
+
+78
+00:07:32,260 --> 00:07:38,340
+على أرض الواقع إذا لو أنا روحت أخدت limit الجذري
+
+79
+00:07:38,340 --> 00:07:43,700
+التربية إلى x تربية زائد خمسة على x لما ال x tends
+
+80
+00:07:43,700 --> 00:07:44,520
+to infinity
+
+81
+00:08:03,350 --> 00:08:07,640
+طبعا الجدر هذا للمقادرة كلها شبههايبقى infinity
+
+82
+00:08:07,640 --> 00:08:19,140
+على infinity يبقى يابلو بتال رول يابلو
+
+83
+00:08:19,140 --> 00:08:23,640
+بتال رول يابلو بتال رول يابلو بتال رول يابلو بتال
+
+84
+00:08:23,640 --> 00:08:28,660
+رول يابلو بتال رولX تربية يبقى كأن المسألة أصبحت
+
+85
+00:08:28,660 --> 00:08:34,020
+limit لما ال X tends to infinity للجدر التربيعي ل
+
+86
+00:08:34,020 --> 00:08:39,680
+X تربية زائد خمسة كله على X تربية يعني limit لما
+
+87
+00:08:39,680 --> 00:08:44,700
+ال X tends to infinity لمن؟ للجدر التربيعي لواحد
+
+88
+00:08:44,700 --> 00:08:50,100
+زائد خمسة على X تربية طبعا هذا بزير و بظهر اندي
+
+89
+00:08:50,100 --> 00:08:55,570
+كدهش واحدالواحد زي ما انت شايف منه اكبر من ال zero
+
+90
+00:08:55,570 --> 00:09:00,290
+اقل من main معناته ال two functions دول grow at
+
+91
+00:09:00,290 --> 00:09:06,530
+the same rate يبقى هنا الgenre التربية الى x تربية
+
+92
+00:09:06,530 --> 00:09:19,790
+زائد خمسة and ال x grow at the same rate as x
+
+93
+00:09:19,790 --> 00:09:26,450
+tends to infinityبالمثل بروح أخد limit لما ال X
+
+94
+00:09:26,450 --> 00:09:32,470
+تنزل إلى infinity لل X على الدالة التانية نين جذر
+
+95
+00:09:32,470 --> 00:09:38,070
+ال X ناقص واحد لكل تربيع التعويض المباشر بيجيب لي
+
+96
+00:09:38,070 --> 00:09:44,050
+infinity على infinity يبقى بدي أستخدمقاعدة lobital
+
+97
+00:09:44,050 --> 00:09:48,770
+يبقى لو جيت اخدت استخدام قاعدة lobital بصير عندي
+
+98
+00:09:48,770 --> 00:09:54,110
+ال limit لما ال X tends to infinity مشتقة دالة
+
+99
+00:09:54,110 --> 00:10:00,770
+البص على مشتقة دالة المقام اتنين في الجوس زي ما هو
+
+100
+00:10:00,770 --> 00:10:08,450
+مرفوع لل أس واحد في مشتقة مداخل القوس مشتقة مداخل
+
+101
+00:10:08,450 --> 00:10:14,300
+القوس يبقى اتنين مالهاش دعوةوالله لان نحط فوق هذه
+
+102
+00:10:14,300 --> 00:10:19,420
+مشتاقة يبقى احنا مشتاقة كل المنظرات والمقام على
+
+103
+00:10:19,420 --> 00:10:24,760
+حده يبقى هذا اشتقاه في المقام فتبقى في المقام وهذا
+
+104
+00:10:24,760 --> 00:10:30,680
+واحد على اتنين جدر ال X نختصر الاختصارات اللي
+
+105
+00:10:30,680 --> 00:10:35,370
+موجودة يبقى الاتنين هذه مع الاتنين هذهيبقى آلة
+
+106
+00:10:35,370 --> 00:10:41,310
+المسألة إلى الشكل التالي جذر ال X هتنقلب وتطلع فوق
+
+107
+00:10:41,310 --> 00:10:50,760
+وهنا أربع جذر ال X ناقص اتنينالتعويض المباشر بتجيب
+
+108
+00:10:50,760 --> 00:10:55,400
+انفينيتي على انفينيتي، يجب نشتق البصة على حده أو
+
+109
+00:10:55,400 --> 00:10:58,960
+المقام على حده، يجب نقسم كل من البصة والمقال
+
+110
+00:10:58,960 --> 00:11:05,910
+عالميا على جذر ال X اللي هي موجودة في المقاميبقى x
+
+111
+00:11:05,910 --> 00:11:10,870
+tends to infinity بيبقى الواحد على أربع ناقص اتنين
+
+112
+00:11:10,870 --> 00:11:16,970
+على جذر ال x بالشكل اللي عندي هذا تمام هذا كله
+
+113
+00:11:16,970 --> 00:11:22,990
+بقداش ب zero يبقى طالع الجواب ربع والربع محصور بين
+
+114
+00:11:22,990 --> 00:11:28,130
+الصفرو ال infinity يبقى معنى هذا الكلام ان ال two
+
+115
+00:11:28,130 --> 00:11:32,590
+functions هدول معلهم grow at the same rate يبقى
+
+116
+00:11:32,590 --> 00:11:39,590
+باجي بقول له so ال x and ال اتنين جذر ال x ناقص
+
+117
+00:11:39,590 --> 00:11:50,530
+الواحد لكل تربيع grow at the same rate as x tends
+
+118
+00:11:50,530 --> 00:11:51,450
+to infinity
+
+119
+00:11:54,320 --> 00:12:04,200
+الأن بال remark اللي قبل قليل by the above remark
+
+120
+00:12:09,610 --> 00:12:17,830
+اللي هو من الجذر لل X تربية زائد خمسة and لاتنين
+
+121
+00:12:17,830 --> 00:12:29,070
+جذر ال X نقص واحد لكل تربية grow at the same rate
+
+122
+00:12:29,070 --> 00:12:33,550
+as X tends to infinity
+
+123
+00:12:36,740 --> 00:12:41,220
+الان وصلنا الى نهاية هذا ال section يبقى بنروح
+
+124
+00:12:41,220 --> 00:12:48,420
+ناخد exercises اللي هو السبعة تمانية المسائل من
+
+125
+00:12:48,420 --> 00:12:56,160
+واحد لغاية ستة الأدنى تلت مسائل لكن كل سؤال فيه
+
+126
+00:12:56,160 --> 00:13:04,880
+حوالى تمان نقاط تقريبا ايش يعني؟
+
+127
+00:13:07,720 --> 00:13:14,060
+انت فهمت الجزء النظري الأول؟ انا فضّقت حرفيا على
+
+128
+00:13:14,060 --> 00:13:17,920
+الجزء النظري اللى خدناه تقبيق مباشر لا لف ولا
+
+129
+00:13:17,920 --> 00:13:23,560
+جوران F of X هي الجدر التربية على X تربية زائد
+
+130
+00:13:23,560 --> 00:13:28,780
+خمسة وال G of X هي X والH of X هي اتنين جدر ال X
+
+131
+00:13:28,780 --> 00:13:30,020
+نقص واحد لكل تربية
+
+132
+00:13:36,410 --> 00:13:41,530
+عندما أخذت أول تنتين تالي عندي مقترا ثابتا يبقى
+
+133
+00:13:41,530 --> 00:13:45,350
+التنين ي grow at the same rate عندما أخذت التنتين
+
+134
+00:13:45,350 --> 00:13:49,150
+التانية تالية مقدار ثابت كمان تاني يبقى التنين ي
+
+135
+00:13:49,150 --> 00:13:52,930
+grow at the same rate يبقى بواسطة ال remark صارت
+
+136
+00:13:52,930 --> 00:13:59,920
+دالة الأولى الى when saw by the above remarkهذه و
+
+137
+00:13:59,920 --> 00:14:04,660
+هذه الدليل تنجروا في نفس الوقت كإتران لإنفانية.
+
+138
+00:14:04,840 --> 00:14:08,880
+إلك اعتراض على هذا؟ جدًا، السؤال ما قالك، هذه F و
+
+139
+00:14:08,880 --> 00:14:12,020
+X و هذه H و Z؟ بقى انت خد اللي بدك هيه، ماعنديش
+
+140
+00:14:12,020 --> 00:14:16,460
+مشكلة، ان شاء الله تاخد هذه، هرا، و اين راحت؟ خد
+
+141
+00:14:16,460 --> 00:14:21,330
+هذه F و X و هذه H و Z، شو بأثر يعني؟شوفوا يا سيدي،
+
+142
+00:14:21,330 --> 00:14:25,870
+لو جلبتم بدل هذه من ربع بالصير أربعة، برضه بين صفر
+
+143
+00:14:25,870 --> 00:14:30,470
+و infinity، مافيهاش إشكالية، ولا حاجة، يعني ليس
+
+144
+00:14:30,470 --> 00:14:34,030
+بالضرورة الترتيب، لأن العبرة بالنتيجة وليس
+
+145
+00:14:34,030 --> 00:14:36,770
+بالترتيب، كنتوا بيكتبوا السؤالات، فضلوا
+
+146
+00:14:39,340 --> 00:14:44,220
+أنت غاب و حاضر ولا إيه؟ احنا قولنا إذا بنقدر
+
+147
+00:14:44,220 --> 00:14:48,700
+مباشرة ماشي لكن أحيانا ممكن تلاقي الصعوبة نروح
+
+148
+00:14:48,700 --> 00:14:51,820
+ندخل ده اللي في النصب و بنشتغل الشغل تبعنا
+
+149
+00:14:54,900 --> 00:15:00,340
+نحن نقول لك اسمع كده، بتعمل مقارنة بين ال two
+
+150
+00:15:00,340 --> 00:15:04,300
+functions، يعني بدك تخلق الدلة في المصدر من خلال
+
+151
+00:15:04,300 --> 00:15:09,180
+شكل الدلتين اللي عندك، مش عشوائيا يعني، وشوفت احنا
+
+152
+00:15:09,180 --> 00:15:11,840
+لما جينا قارنة، قولنا من اللي بيتحكم في الدلة
+
+153
+00:15:11,840 --> 00:15:17,110
+الأولى؟هل الخمسة و الله ال X تربيها؟ قلنا ال X
+
+154
+00:15:17,110 --> 00:15:20,610
+تربيها لأنها أكبر لما ال X بتروح للمألة نهاية،
+
+155
+00:15:20,610 --> 00:15:23,210
+يبقى بنعتبر كأن الخمسة مش مولودة صار الجدر
+
+156
+00:15:23,210 --> 00:15:27,110
+التربيها ل X تربيها طلعت X جينا نفدها لتنينين لما
+
+157
+00:15:27,110 --> 00:15:30,710
+فتكناها، من الجزء الأكبر؟ الجزء اللي هو أربعة X،
+
+158
+00:15:30,710 --> 00:15:33,950
+أربعة هذا كله صندوق لا بيقدم ولا بيأخر هم دي، يبقى
+
+159
+00:15:33,950 --> 00:15:40,330
+صارة ال X هذه ياماميبقى صارت هنا X وهي نفس X، يبقى
+
+160
+00:15:40,330 --> 00:15:44,450
+دخلنا هذا الـX واشتغلنا عليها وهكذا. هو طبعا قليل
+
+161
+00:15:44,450 --> 00:15:49,550
+ما تلجألها، لكن إن حدث، ممكن نلجأله وخلاصنا. طيب،
+
+162
+00:15:49,550 --> 00:15:53,950
+لحد هنا، stop، انتهينا من هذا ال section، والآن
+
+163
+00:15:53,950 --> 00:15:58,210
+بانتهاءنا من هذا ال section، ينتهي هذا ال chapter.
+
+164
+00:16:00,000 --> 00:16:04,540
+بنروح لل chapter الجديد اللي هو techniques of
+
+165
+00:16:04,540 --> 00:16:11,760
+integration الطاقة المختلفة للتكامل يبقى chapter
+
+166
+00:16:11,760 --> 00:16:18,480
+تمانية techniques of
+
+167
+00:16:18,480 --> 00:16:21,060
+integration
+
+168
+00:16:26,040 --> 00:16:30,760
+يبقى طرق المختلفة لمان للتكامل أو طرق العملية
+
+169
+00:16:30,760 --> 00:16:36,880
+لتكامل بعض الدوال المختلفة بإننا نيجي نذكر في
+
+170
+00:16:36,880 --> 00:16:41,520
+البداية قبل أن نبدأ هذا الشرطر بما سبق دراسته من
+
+171
+00:16:41,520 --> 00:16:46,920
+التكاملات يبقى بتروح أقول له some integral
+
+172
+00:16:46,920 --> 00:16:48,700
+formulas
+
+173
+00:16:56,510 --> 00:17:00,530
+هذا الآن بدنا نذكر ببعض التكاملات اللى خدناها في
+
+174
+00:17:00,530 --> 00:17:05,150
+الثانوية العامة وفي Calculus A وفي Calculus B لإن
+
+175
+00:17:05,150 --> 00:17:08,630
+هذا الأساس اللى بنبنى عليه دراستنا في كل ال
+
+176
+00:17:08,630 --> 00:17:13,290
+chapter هذا يبقى بنا بنبدأ بالتكاملات المشهورة
+
+177
+00:17:13,290 --> 00:17:17,990
+اللى مرت علينا نيجي لأول تكامل كان تكامل constant
+
+178
+00:17:17,990 --> 00:17:24,290
+في ال DXبنقول ال constant بنطلعه برا تكامل و تكامل
+
+179
+00:17:24,290 --> 00:17:31,450
+ال dx هي بx زاد constant c بعد هيك نمر اتنين بدنا
+
+180
+00:17:31,450 --> 00:17:38,670
+تكامل ال ax to the power n dx حيث ان عدد حقيقي
+
+181
+00:17:39,800 --> 00:17:44,940
+بنقول ال A مقدار ثابت مالوش دعوة و Lexus N بنضيف
+
+182
+00:17:44,940 --> 00:17:50,500
+لل أس واحد و بنقسم على الأس الجديد و بنقول زائد
+
+183
+00:17:50,500 --> 00:17:56,560
+constant C هذا الكلام صحيح بشرط ان ال N ممنوع
+
+184
+00:17:56,560 --> 00:18:03,230
+يتساويطب لو حدث و سوى تسوى تسوى تسوى تسوى تسوى
+
+185
+00:18:03,230 --> 00:18:10,630
+تسوى تسوى تسوى تسوى تسوى تسوى تسوى تسوى
+
+186
+00:18:10,630 --> 00:18:22,330
+تسوى
+
+187
+00:18:22,510 --> 00:18:28,490
+يبقى صار هنا الـBest هو تفاضل المقام الـX تفاضلنا
+
+188
+00:18:28,490 --> 00:18:31,730
+بواحد اللي موجودة في الـBest لما كان الـBest تفاضل
+
+189
+00:18:31,730 --> 00:18:36,310
+المقام قلنا لن المقام إذا بناء أنا عليها بروح
+
+190
+00:18:36,310 --> 00:18:43,470
+للنقطة الرابعة تكامل F prime of X على F of X كله
+
+191
+00:18:43,470 --> 00:18:48,510
+DX إذا كان الـBest تفاضل المقام فنتيجة التكامل هي
+
+192
+00:18:48,510 --> 00:18:56,670
+لنabsolute value للمقام زائد constant C نقطة
+
+193
+00:18:56,670 --> 00:19:03,630
+الخامسة تكامل E أس AX في DX ال exponential
+
+194
+00:19:03,630 --> 00:19:08,030
+functionطبعا بالاصل زي ما انت شايف من الدرجة
+
+195
+00:19:08,030 --> 00:19:12,470
+الأولى في x لكن مضطر في مين هي constant يبقى
+
+196
+00:19:12,470 --> 00:19:20,650
+تكاملها كما هي مقسومة على a زائد constant c ستة من
+
+197
+00:19:20,650 --> 00:19:25,350
+تكامل ال x exponentially التانية a to the power x
+
+198
+00:19:25,350 --> 00:19:32,680
+dx ويساويالـ Exponential كما هي مقسومة عالميا على
+
+199
+00:19:32,680 --> 00:19:38,240
+لن الـ A زائد constant C طبعا هذا في الsection 7
+
+200
+00:19:38,240 --> 00:19:44,560
+تلاتة كالكلص B كالكلص B كالكلص B هذا الاتنتين
+
+201
+00:19:44,560 --> 00:19:51,790
+كالكلص A و ثانوية عامة طيب نجي نمرح 7بننتقل الان
+
+202
+00:19:51,790 --> 00:20:00,990
+إلى الدوالي المثلثية عندك تكامل ل sin ax dx طبعا
+
+203
+00:20:00,990 --> 00:20:07,590
+ال ax كلها الزاوية والa كولستن يبقى سالب واحد على
+
+204
+00:20:07,590 --> 00:20:17,230
+a cosine ax زائد كولستن cثمانية بدنا تكامل بدل ال
+
+205
+00:20:17,230 --> 00:20:26,650
+sign بنخليه cosine ax dx يبقى واحد على a sine ax
+
+206
+00:20:26,650 --> 00:20:37,210
+زائد constant Cنمرة تسعة نتكامل لتان ال X DX التي
+
+207
+00:20:37,210 --> 00:20:43,150
+هي نسبة المثلثية التالتة نعمل تان هي sin على
+
+208
+00:20:43,150 --> 00:20:49,190
+cosine بصير البسط هو تفاضل المقام بس بده شرف سالب
+
+209
+00:20:49,190 --> 00:20:55,930
+حسبناها قبل ذلك ناقص لل absolute value ل cosine X
+
+210
+00:20:55,930 --> 00:21:03,460
+زائد constant Cأو المكافئة لها اللي لم absolute
+
+211
+00:21:03,460 --> 00:21:07,720
+value لسك X زائد constant C
+
+212
+00:21:13,610 --> 00:21:20,430
+بدنا تكامل لقطان ال X DX قصين على صين البسطى فضل
+
+213
+00:21:20,430 --> 00:21:27,350
+المقام يبجلن absolute value لصين ال X زائد
+
+214
+00:21:27,350 --> 00:21:37,350
+constant C حد عشر وصلنا لتكامل لسكت ال X DXطبعا
+
+215
+00:21:37,350 --> 00:21:42,210
+ضربنا في سك زائد تاني وجسمنا على سك زائد تاني صار
+
+216
+00:21:42,210 --> 00:21:48,070
+البسطة فاضل المقام يبجلن absolute value لسك ال X
+
+217
+00:21:48,070 --> 00:21:55,510
+زائد تاني ال X زائد كلستين C ثانية عشر تكامل
+
+218
+00:21:55,510 --> 00:21:58,870
+لكوسيكنت ال X DX
+
+219
+00:22:01,450 --> 00:22:08,610
+اما سالب لن absolute value لكو سي كانت ال X زائد
+
+220
+00:22:08,610 --> 00:22:16,870
+كتان ال X زائد constant C او لن بالموجة absolute
+
+221
+00:22:16,870 --> 00:22:23,030
+value لكو سي كانت ال X ماقص كتان ال X زائد
+
+222
+00:22:23,030 --> 00:22:27,670
+constant C اما هذه الصيرة او هذه الصيرة الاتنين
+
+223
+00:22:27,670 --> 00:22:34,550
+are the sameثالث عشر طلع هنا كاملنا الدوالي
+
+224
+00:22:34,550 --> 00:22:41,710
+المثلثية الستة كلها تمام؟ نيجي لتكامل مضروباتها،
+
+225
+00:22:41,710 --> 00:22:48,990
+إيش تكامل مضروباتها؟ تكامل ل six squared x dx،
+
+226
+00:22:48,990 --> 00:22:54,750
+اللي هو الدوالي؟بتاني ال X زائد constant C طيب
+
+227
+00:22:54,750 --> 00:23:03,370
+الرابع عشر تكامل ل cosecant square X في DXلو بسالب
+
+228
+00:23:03,370 --> 00:23:12,830
+كتان ال X زائد كلستن C خمس تاشر يبقى تكامل لسك ال
+
+229
+00:23:12,830 --> 00:23:22,110
+X تاني ال X DX يساوي سك ال X زائد كلستن C السادس
+
+230
+00:23:22,110 --> 00:23:32,500
+عشر تكامل لكوسيكنت ال X كتاني ال X DXبسالب cos x
+
+231
+00:23:32,500 --> 00:23:41,190
+زائد constant Cيبقى دول تكمل من الدوال المثلثية
+
+232
+00:23:41,190 --> 00:23:50,550
+وضرب الدوال المثلثية نذهب الآن إلى الدوال الزائدية
+
+233
+00:23:50,550 --> 00:24:00,530
+تكمل لجوش AX DX يبقى واحد على essential AXزائد
+
+234
+00:24:00,530 --> 00:24:10,810
+كنستان C بالمثل تكامل لسنش AXDX يسوى واحد على A
+
+235
+00:24:10,810 --> 00:24:18,190
+جوش AX زائد كنستان Cالتاش عملناها سنش على دوش
+
+236
+00:24:18,190 --> 00:24:22,630
+وصلينا المقام والكوتاش زيها والسش خدناها مثال
+
+237
+00:24:22,630 --> 00:24:27,930
+والكستش قولنا لك exercise لك تمام؟ يبقى هذا كله
+
+238
+00:24:27,930 --> 00:24:34,230
+معاك تمام بدنا نيجي لمن؟ الى تسعة تاش تسعة تاش
+
+239
+00:24:34,230 --> 00:24:39,930
+تكامل لمن؟ لسش Square X
+
+240
+00:24:47,090 --> 00:24:55,650
+20 تكامل يبقى
+
+241
+00:24:55,650 --> 00:25:02,900
+سلب potential x زائد constant cالحدي والعشرين
+
+242
+00:25:02,900 --> 00:25:13,840
+تكامل لسش ال X تانش ال X DX ويساوي سالب سش ال X
+
+243
+00:25:13,840 --> 00:25:22,040
+زائد constant C الثاني والعشرين اللي هو تكامل لكسش
+
+244
+00:25:22,040 --> 00:25:31,860
+ال X كتانش ال X DX بسالب كسش ال Xزائد كونستانسية
+
+245
+00:25:31,860 --> 00:25:35,020
+الثالث والعشرين
+
+246
+00:25:37,700 --> 00:25:42,860
+الآن بدنا نروح للمعكوسات معكوس الدول المثلثية و
+
+247
+00:25:42,860 --> 00:25:47,080
+معكوس الدول الزائدية معكوس الدول المثلثية عندنا
+
+248
+00:25:47,080 --> 00:25:53,620
+تلت تكاملات التكامل الأول واحد على الجذر التربية
+
+249
+00:25:53,620 --> 00:26:01,720
+لإيه تربية ناقص x تربية dx اللي همين sin inverse
+
+250
+00:26:05,880 --> 00:26:13,380
+تكامل الرابع هو عشرين هو عبارة عن تكامل لمين؟
+
+251
+00:26:13,380 --> 00:26:20,520
+لواحد A تربية زاد X تربية DX بدون جذور يبقى يقول
+
+252
+00:26:20,520 --> 00:26:29,140
+إن هذا عبارة عن واحد على اتان inverse X على A زاد
+
+253
+00:26:29,140 --> 00:26:37,120
+constant Cخمسة وعشرين بدنا تكامل اللي هو ميم واحد
+
+254
+00:26:37,120 --> 00:26:43,620
+على X الجذر التربية X تربية ناقص A تربية في DX
+
+255
+00:26:43,620 --> 00:26:50,520
+اللي هو عبارة عن ميم واحد على A في Sec inverse
+
+256
+00:26:50,520 --> 00:26:56,940
+absolute value X عليها زائد constant C هدول
+
+257
+00:26:56,940 --> 00:27:02,360
+التلاتةاللي هي تبعات معكوس الدوال المثلثية، تلتة
+
+258
+00:27:02,360 --> 00:27:08,360
+تانيات هما هما، بس بإشارة سالب، تمام، إذا بنروح
+
+259
+00:27:08,360 --> 00:27:15,080
+لستة وعشرين وما أدراك ما ستة وعشرين، تكامل واحد
+
+260
+00:27:15,080 --> 00:27:22,650
+على الجدر التربية، تربية X تربية DXهذه بس بإشارة
+
+261
+00:27:22,650 --> 00:27:28,210
+موجب بدل السالب، في حالة السالب sign inverse و في
+
+262
+00:27:28,210 --> 00:27:36,280
+حالة الموجبفي حالة المجمعشة دي؟ Sin inverse تمام
+
+263
+00:27:36,280 --> 00:27:45,360
+يبقى Sin inverse X على A زائد constant C سبعة و
+
+264
+00:27:45,360 --> 00:27:53,640
+عشرين تكامل لدي X على الجدري التربيهي ل X تربيع
+
+265
+00:27:53,640 --> 00:28:04,040
+ماقص A تربيعيبقى هذا الكلام جوش inverse X على A
+
+266
+00:28:04,040 --> 00:28:11,420
+زائد كونستان C تمانية و عشرين تمانية و عشرين بدنا
+
+267
+00:28:11,420 --> 00:28:22,180
+تكامل لمام لواحد على A تربية ناقص X تربية Xقول هذا
+
+268
+00:28:22,180 --> 00:28:31,000
+له قيمتان القيمة الأولى واحد على ا تانش inverse x
+
+269
+00:28:31,000 --> 00:28:38,360
+على a زاد constant c وبشرط absolute value ل x أقل
+
+270
+00:28:38,360 --> 00:28:49,140
+من a او واحد على a cotangent واحد على a cotangent
+
+271
+00:28:50,020 --> 00:28:57,760
+إنفرس X على A زائد constant C absolute value لل X
+
+272
+00:28:57,760 --> 00:29:07,440
+أكبر من ال A آخر تكاملين يبقى التكامل التاسع
+
+273
+00:29:07,440 --> 00:29:13,860
+والعشرون بجول مياتي تكامل واحد على X الجدرى
+
+274
+00:29:13,860 --> 00:29:19,990
+التربية إلى A تربية ناقص X تربية عضية Xيبقى هذا
+
+275
+00:29:19,990 --> 00:29:29,610
+سالب واحد على A في C inverse X على A زائد constant
+
+276
+00:29:29,610 --> 00:29:37,910
+C تلاتين تكامل واحد على X الجدرى التربية اللي A
+
+277
+00:29:37,910 --> 00:29:44,130
+تربية زاد X تربية DX يسوى سالب واحد على Aكسيش
+
+278
+00:29:44,130 --> 00:29:50,790
+inverse absolute value لل X على A زائد constant C
+
+279
+00:29:53,150 --> 00:29:57,490
+يبقى هدول التلاتين ده كامل اللي بده نبني عليهم كل
+
+280
+00:29:57,490 --> 00:30:03,050
+دراستنا في هذا ال chapter ان شاء الله يعني مشان
+
+281
+00:30:03,050 --> 00:30:07,650
+تفهم كل سؤال والله كل مثال موجود في هذا ال chapter
+
+282
+00:30:07,650 --> 00:30:15,330
+بدك تكون ملمب بهذه الثلاثين وهذا مجمل مدرسة في
+
+283
+00:30:15,330 --> 00:30:20,770
+الثانوية العامة وفي calculus A وفي calculus B اللي
+
+284
+00:30:20,770 --> 00:30:27,830
+هو chapter 7طيب هدول هم الأساسيات اللي بنبني عليهم
+
+285
+00:30:27,830 --> 00:30:33,110
+دراستنا في هذا ال chapter وبالتالي بننتقل إلى أول
+
+286
+00:30:33,110 --> 00:30:37,770
+طريقة من طرق التكامل و هذه أخدتوها في الثانوية
+
+287
+00:30:37,770 --> 00:30:42,480
+العامة لكن انتوا أخدتوها كعنوانو سؤالين تلاتة صغار
+
+288
+00:30:42,480 --> 00:30:48,500
+لكن احنا هناخدها تفصيليا ان شاء الله يبقى اول
+
+289
+00:30:48,500 --> 00:30:54,580
+section اننا شباب section تمانية واحد تمانية واحد
+
+290
+00:30:54,580 --> 00:31:00,440
+اسمه integration by
+
+291
+00:31:00,440 --> 00:31:01,120
+parts
+
+292
+00:31:05,550 --> 00:31:09,450
+بابا يقولولكوا المدرسين في الثانوية التكامل
+
+293
+00:31:09,450 --> 00:31:17,560
+بالأجزاء أو بالتجزيقأيش ما يقولوا يقولوا لكن احنا
+
+294
+00:31:17,560 --> 00:31:25,160
+بدنا نفهم ايش معناه و لماذا سمي integration by
+
+295
+00:31:25,160 --> 00:31:30,060
+parts كل الجزء النظري تبع ال section بدي اختصره في
+
+296
+00:31:30,060 --> 00:31:36,980
+كلمة صغيرة جدا يبقى بعدي بدي اقول if ال U and ال V
+
+297
+00:31:36,980 --> 00:31:47,320
+are differentiable functions of X thenالتكامل ل
+
+298
+00:31:47,320 --> 00:32:00,140
+UDV يبقى U في V نقص تكامل V دال U يبقى
+
+299
+00:32:00,140 --> 00:32:03,180
+هذا التكامل تبع الأجزاء
+
+300
+00:32:05,810 --> 00:32:11,270
+بنعرف لماذا سميها تكامل بالتجزيء أو بالأجزاء وكيف
+
+301
+00:32:11,270 --> 00:32:16,930
+طريقة التعامل مع هذا النوع من التكاملات
+
+302
+00:32:25,060 --> 00:32:30,000
+الان نجي للسؤال هذا، بيعطيني مثلة، المثلة بتبقى
+
+303
+00:32:30,000 --> 00:32:36,540
+دالة في مين؟ في تكملة بالنسبة لشغل دي اكس، دي واي،
+
+304
+00:32:36,540 --> 00:32:42,160
+دي ثيتا، دي زد، إلى آخرينالمثلة هذه بدي اقيصها على
+
+305
+00:32:42,160 --> 00:32:45,360
+هذه المثلة يعني ايش اقيصها على هذه المثلة؟ يعني
+
+306
+00:32:45,360 --> 00:32:53,400
+بدي اختار جزء يكون يمثل U و جزء يمثل من DV طيب ال
+
+307
+00:32:53,400 --> 00:32:58,480
+U هذه اللي اخترتها هنا هي ماتغيرتش، لكن هنا ايش
+
+308
+00:32:58,480 --> 00:33:05,360
+امتلت ال U؟ اشتقتها، DUهذه كانت دي V مشان أحصل على
+
+309
+00:33:05,360 --> 00:33:10,960
+V هذه معناته بدي أكامل هذه الدلة يبقى هي ال V و هي
+
+310
+00:33:10,960 --> 00:33:16,220
+ال V معنى هذا الكلام أنه في جزء من المسألة بدي
+
+311
+00:33:16,220 --> 00:33:22,560
+أفضله أشتقه وفي جزء بتروح من أكامله يعني بدنا نجزء
+
+312
+00:33:22,560 --> 00:33:28,000
+المسألة إلى جزئينجزء بدأ أكمله بعملية الاشتقاء
+
+313
+00:33:28,000 --> 00:33:34,560
+وجزء بدروح مين أكامله ومن هنا سمنا تكامل بالتجزيه
+
+314
+00:33:34,560 --> 00:33:40,680
+تكامل بالتجزيه قال لي U في V ناقص تكامل VW يعني
+
+315
+00:33:40,680 --> 00:33:46,400
+لسه بالزمن تكامل قد يكون يحتاج هذا إلى تكامل
+
+316
+00:33:46,400 --> 00:33:52,020
+بالأجزاء من جديد وقد يظهر أحد التكاملات الثلاثين
+
+317
+00:33:52,020 --> 00:33:57,690
+التي أشرنا اليها قبل قليلممكن هذه و ممكن هذه، طب
+
+318
+00:33:57,690 --> 00:34:02,010
+السؤال هو لما يجيني السؤال مين اللي بدي اختارها
+
+319
+00:34:02,010 --> 00:34:07,150
+تكون ال U و مين اللي بدي اختارها DV؟ اه بنقوله
+
+320
+00:34:07,150 --> 00:34:12,790
+بسيطة تختاري ال U هي الدالة اللي تفضلها سهلمايكونش
+
+321
+00:34:12,790 --> 00:34:18,190
+تفاضلها مكلكة أو يطلع نص متر، لأ، بيكون شغلنا مش
+
+322
+00:34:18,190 --> 00:34:22,970
+مظبوط، يبقى بختار ال U بطريقة أقدر أفاضلها و بختار
+
+323
+00:34:22,970 --> 00:34:29,390
+ال DV بطريقة أقدر أكملها، اه يعني إذا اخترت ال U
+
+324
+00:34:29,390 --> 00:34:34,450
+كل بضال في المثلة بدي أكون مين؟دى V هذا بدك تقدر
+
+325
+00:34:34,450 --> 00:34:38,970
+تكمله بسهولة وهذا بدك تقدر تفضله بسهولة طيب يمكن
+
+326
+00:34:38,970 --> 00:34:43,350
+افضل هذا بسهولة ويمكن اكمل هذا بسهولة لكن ماتنحلش
+
+327
+00:34:43,350 --> 00:34:49,070
+المثلة ماتنحلش ليه لأن الاختيار كان اختيارا خاطئ
+
+328
+00:34:49,070 --> 00:34:53,930
+كيف يعني اختيار خاطئ هذا ال U دى لو جيت اشتقتها
+
+329
+00:34:53,930 --> 00:34:59,830
+بديها تنتهي تكمل مش هتزيد فمثلا لو قولتلك خد U
+
+330
+00:34:59,830 --> 00:35:05,270
+يسوى X السالب واحدتعا فضل الله، إيش بيطلع؟ X
+
+331
+00:35:05,270 --> 00:35:10,910
+السالم اتنينيبقى ذالبة لأ كمان مرة X والسالب ثلاثة
+
+332
+00:35:10,910 --> 00:35:14,150
+بغض النظر عن الكون الصحيح X والسالب أربعة يبقى
+
+333
+00:35:14,150 --> 00:35:18,290
+ليوم القيامة مفيش بتخلصش إذا الإختيار كان إختيارا
+
+334
+00:35:18,290 --> 00:35:24,290
+قاطع يبقى بدي أختارها بحيث تنتهي بعد مرة مرتين تلت
+
+335
+00:35:24,290 --> 00:35:30,010
+أربع مرات تبقى خلصت طبعا طب افترض اخترت وطلعت معاك
+
+336
+00:35:30,010 --> 00:35:34,130
+تكلكعت تدت تكلكعت وها دي مش عارفين نطلع منهابكي
+
+337
+00:35:34,130 --> 00:35:38,210
+بخترشت خاطئ بتروح تجلب الخيارة بتبعك و بتلاقي مثلة
+
+338
+00:35:38,210 --> 00:35:44,630
+اكمالها انحلت على طول الخطيبقى الاختيار مش مزاجي،
+
+339
+00:35:44,630 --> 00:35:50,310
+وإنما الاختيار عبارة عن دراية علمية، دراية علمية
+
+340
+00:35:50,310 --> 00:35:55,890
+عن بنانيش، عن مشتقات الدول وتقامل الدول، وبالتالي
+
+341
+00:35:55,890 --> 00:36:00,850
+بصير القصة هذه بسيطة جدا، إذا أنا لما بدي أعطيك
+
+342
+00:36:00,850 --> 00:36:04,730
+مثال، بدي أعطيك ثلاثة أنواع من المثال، إنه لو اللي
+
+343
+00:36:04,730 --> 00:36:09,780
+بدي أخليه بسيط، بدوش ولا لف ولا دورانالنوع الثاني
+
+344
+00:36:09,780 --> 00:36:15,040
+بدي أخليك تهرش مخك و تضطر تعمل تعويضة قبل ال
+
+345
+00:36:15,040 --> 00:36:18,920
+integration by parts وبعد ما تعمل تعويضة صير
+
+346
+00:36:18,920 --> 00:36:23,160
+مسالتك سهلة بال integration by parts وهكذا بالنسبة
+
+347
+00:36:23,160 --> 00:36:29,140
+لمن؟ للباقي إذا نبدأ الشغل العملي على هذا القانون
+
+348
+00:36:29,140 --> 00:36:36,490
+اكتبلي اول مثال احسبلي تكاملات اتاليةيبقى evaluate
+
+349
+00:36:36,490 --> 00:36:43,490
+the following integrals يبقى
+
+350
+00:36:43,490 --> 00:36:51,030
+أول مجموعة من الأمثلة examples evaluate
+
+351
+00:36:51,030 --> 00:36:54,650
+the
+
+352
+00:36:54,650 --> 00:37:00,370
+following integrals
+
+353
+00:37:04,750 --> 00:37:11,030
+أحسب لكل من التكاملات التالية أول تكامل تكامل x e
+
+354
+00:37:11,030 --> 00:37:17,090
+أس تلاتة x في dx نجي
+
+355
+00:37:17,090 --> 00:37:22,770
+لل a أس تلاتة xسهل تفاضلها وسهل تكاملها، إذا
+
+356
+00:37:22,770 --> 00:37:25,690
+ماعنديش مشكلة، حتى تفاضلها وتكاملها مش مشكلة
+
+357
+00:37:25,690 --> 00:37:31,070
+بالدرجة للإكس، سهل تفاضلها وكذلك سهل تكاملها، بس
+
+358
+00:37:31,070 --> 00:37:36,650
+لو كملت بتخلص، يبقى مش هتخلص أبداًيبقى automatic
+
+359
+00:37:36,650 --> 00:37:42,350
+بدي اخدها اشتقاق لان الاشتقاق بعد مرتين تبقى خلصت،
+
+360
+00:37:42,350 --> 00:37:46,290
+مظبوط؟ يبقى من هنا بدي اختيار التفكير بهذه
+
+361
+00:37:46,290 --> 00:37:51,530
+الطريقة، اذا بدي اخد ال U تبعة القانون تساوي X
+
+362
+00:37:51,530 --> 00:37:57,310
+والدي V كل اللي بضال، مين اللي بضال؟ اللي هو E أس
+
+363
+00:37:57,310 --> 00:38:06,570
+ثلاثة Xبدي x طب نشتق ليش نشتق لإنه بدي du يبقى دي
+
+364
+00:38:06,570 --> 00:38:09,970
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+365
+00:38:09,970 --> 00:38:15,510
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+366
+00:38:27,320 --> 00:38:34,540
+يبقى النتيجة تساوي هذه U وهذه V يبقى ال U في ال V
+
+367
+00:38:34,540 --> 00:38:41,260
+بدي أضرب اتنين في بعض يبقى لو ضربتهم بصير تلت X A
+
+368
+00:38:41,260 --> 00:38:46,880
+أس تلاتة X هذا السؤال استخدمنا اللي هو القانون تبع
+
+369
+00:38:46,880 --> 00:38:53,470
+integration by parts مرة واحدة فقط لا غيرطيب بدنا
+
+370
+00:38:53,470 --> 00:38:59,870
+نجي للسؤال الثاني بدنا تكامل x السابعة في لن ال x
+
+371
+00:38:59,870 --> 00:39:00,670
+في bx
+
+372
+00:39:03,450 --> 00:39:10,390
+طبعا بضاجي لن ال X بنعرف ان كاملها لن ال X حتى
+
+373
+00:39:10,390 --> 00:39:16,290
+الآن ماعرفناش مظبوط لكن نشتاقها سهل جدا واحد على X
+
+374
+00:39:16,290 --> 00:39:22,610
+إذا بدي أروح أختار ال U تساوي لن ال X و دي V كل
+
+375
+00:39:22,610 --> 00:39:28,970
+اللي بيظل له X و ال 7 في مين؟ في ال DXنشتاق يبقى
+
+376
+00:39:28,970 --> 00:39:35,990
+du بواحد على x dx وال V بx أس تمانية على تمانية
+
+377
+00:39:35,990 --> 00:39:43,270
+هذه ال U و هذه ال V إذا النتيجة تساوي U في V يبقى
+
+378
+00:39:43,270 --> 00:39:52,790
+تمان X أس تمانيةفى لن ال X ناقص تكامل V دالي V ب X
+
+379
+00:39:52,790 --> 00:39:59,410
+أس تمانية على تمانية دالي وليه واحد على X من DX
+
+380
+00:39:59,410 --> 00:40:07,430
+يبقى تمن X أس تمانية فى لن ال X ناقص هذا التمن برا
+
+381
+00:40:07,430 --> 00:40:12,810
+وهى تكامل فى اختصارات ما بين الاتنين بيصير X أس
+
+382
+00:40:12,810 --> 00:40:21,000
+سبعة من ل DXيبقى هذا الكلام تمون x أس تمانية لإن
+
+383
+00:40:21,000 --> 00:40:27,080
+ال x ناقص تمون خليك برا وهذه كان تاني تكامل من
+
+384
+00:40:27,080 --> 00:40:32,260
+التلاتين لتو يبقى بضيف للأس واحد وبقسم على الأس
+
+385
+00:40:32,260 --> 00:40:39,300
+الجديد يبقى هنا في x أس تمانية على تمانية زائد
+
+386
+00:40:39,300 --> 00:40:46,870
+كونستانسي يعني كان واحدعلى 64X أُس 8 زائد constant
+
+387
+00:40:46,870 --> 00:40:58,800
+C السؤال التالت بدنا تكامل لمين لإن ال X في DXيبقى
+
+388
+00:40:58,800 --> 00:41:03,080
+هذا اللذي لم نتعرض له قبل ذلك في ال chapter الماضي
+
+389
+00:41:03,080 --> 00:41:07,060
+لا ال lin ولا ال log كنا بنشتقها صح بس تكامل
+
+390
+00:41:07,060 --> 00:41:13,460
+ماكناش نقدر عليها لكن الأن أقصدنا بسيطة جدا يبقى
+
+391
+00:41:13,460 --> 00:41:18,280
+أنا بدى تكامل ل lin ال x يبقى إجباري بدى أخد lin
+
+392
+00:41:18,280 --> 00:41:24,830
+ال x هي بيومش DV لان انا بدي كاملها اصلا تمام يبقى
+
+393
+00:41:24,830 --> 00:41:30,290
+باجي بقوله بدي اخد ال U تساوي لن ال X و DV كل اللي
+
+394
+00:41:30,290 --> 00:41:37,750
+بضل جدش بضل DX بس نشتق هذه يبقى DU بواحد على X DX
+
+395
+00:41:37,750 --> 00:41:45,690
+وهذه تكاملها ب X يبقى النتيجة تساوي U في ال V يبقى
+
+396
+00:41:45,690 --> 00:41:54,070
+Xفلان ال X ناقص تكامل V ليه ب X داليه لواحد على X
+
+397
+00:41:54,070 --> 00:42:01,010
+DX يبقى هذا الكلام بده يسوى X لان ال X ناقص تكامل
+
+398
+00:42:01,010 --> 00:42:09,110
+واحد في ال DX يبقى النتيجة X لان ال X ناقص X زاد
+
+399
+00:42:09,110 --> 00:42:17,290
+constant C إذا من الآن فصاعداتكامل من؟ تكامل لن ال
+
+400
+00:42:17,290 --> 00:42:22,230
+X هو عبارة عن X لن ال X ناقص X يبقى مسألتنا من
+
+401
+00:42:22,230 --> 00:42:27,010
+الأن فصلا صارت سهلة طب لو كانت log ال X للأساس
+
+402
+00:42:27,010 --> 00:42:32,910
+تلاتة لن ال X على لن تلاتة واحد على لن تلاتة برا
+
+403
+00:42:32,910 --> 00:42:34,710
+وتكامل لن ال X هيو
+
+404
+00:42:41,850 --> 00:42:59,710
+سؤال الرابع سؤال الرابع سؤال
+
+405
+00:42:59,710 --> 00:43:03,960
+الرابع سؤال الرابع سؤال الرابعممكن احطها بصيغة
+
+406
+00:43:03,960 --> 00:43:10,860
+جديدة جدر ال X تعني X وسقداش لو طلعته فوق يبقى
+
+407
+00:43:10,860 --> 00:43:18,650
+بيصير كأن المسألة X أسالب نص فإن ال X في DXأظن لو
+
+408
+00:43:18,650 --> 00:43:22,330
+بدي أخد لإن ال X تكمل ماعنديش مشكلة لإنها موجودة
+
+409
+00:43:22,330 --> 00:43:27,790
+عندي هيها فوق بس مكلكعة شوية هيك، تمام؟ لكن لو بدي
+
+410
+00:43:27,790 --> 00:43:32,750
+أشتقها سهل جدا، صحيح ولا لأ؟ هذه ال X أسالة بالنص
+
+411
+00:43:32,750 --> 00:43:36,970
+تشتقها و الله تكملها على كل الأمر، يعني سهلة، يبقى
+
+412
+00:43:36,970 --> 00:43:41,010
+مدام التنتينة يبقى هذه اشتقاقها أسل بروح باخد U
+
+413
+00:43:41,010 --> 00:43:48,680
+تساوي لإن ال Xإذا لو أخدت ال U تساوي لن ال X هذا
+
+414
+00:43:48,680 --> 00:43:56,700
+بدي يعطيك ان ال DU يساوي واحد على X DX الآن ال DV
+
+415
+00:43:56,700 --> 00:44:02,700
+كل اللي بيظل بيظل قداش X أص و هنا دي X أص نص مع X
+
+416
+00:44:02,700 --> 00:44:08,880
+بيصير واحد على X أص نص لو طلعناها فوق بيصير X أص
+
+417
+00:44:08,880 --> 00:44:16,210
+ناقص نص في مهمفي الـ dx يبقى 2 جذر ال x لأن ال x
+
+418
+00:44:16,210 --> 00:44:23,030
+ناقص 2 اضيف لل أس واحد بصير أس نص على نص زائد كنص
+
+419
+00:44:23,030 --> 00:44:31,450
+تن سي او 2 جذر ال x لأن ال x ناقص 4 جذر ال x زائد
+
+420
+00:44:31,450 --> 00:44:44,200
+كنص تن سي بيقول التكامل ل 3x تربيعTen inverse X VX
+
+421
+00:44:44,200 --> 00:44:51,800
+تفرض
+
+422
+00:44:51,800 --> 00:44:57,660
+V
+
+423
+00:44:57,660 --> 00:44:59,220
+و لا تفرض DV
+
+424
+00:45:20,820 --> 00:45:25,820
+لأ مش صحيح هذا الخلابكل القنصة اللي بنجمعه الاخر
+
+425
+00:45:25,820 --> 00:45:28,760
+بيقول القنصة انتوا هتعودش تكالكة لأما لكالكة
+
+426
+00:45:28,760 --> 00:45:34,760
+عينها، ماشي يا سيدي؟ طيب، نجي لسؤال من هذا القبيل،
+
+427
+00:45:34,760 --> 00:45:39,680
+فباجي بقوله، حد فيكوا بيعرفي كامل تان inverse X؟
+
+428
+00:45:39,680 --> 00:45:46,040
+ولا واحد، ماعرفاشلكن اشتقاقها سهل يبقى automatic
+
+429
+00:45:46,040 --> 00:45:52,580
+بقوله خدلي ال U تساوي 10 inverse X يبقى ال DV هذا
+
+430
+00:45:52,580 --> 00:45:57,740
+الكل بيعرفي كاملها كمان اللي هو مين؟ تلاتة X ثربية
+
+431
+00:45:57,740 --> 00:46:05,490
+في ال DXيبقى DU يسوى واحد على واحد زائد X تربية في
+
+432
+00:46:05,490 --> 00:46:11,890
+الـD X أخدنا اشتقاقها والـV تسوى قداش X تكايب على
+
+433
+00:46:11,890 --> 00:46:16,910
+تلاتة مع التلاتة الله يسهل عليها يبقى هذا الكلام
+
+434
+00:46:16,910 --> 00:46:25,190
+يسوى U في V يبقى X تكايب تان Inverse X معقز تكامل
+
+435
+00:46:25,190 --> 00:46:31,550
+V اللي هيبقى X تكايبدل يوم واحد زائد X تربيع في
+
+436
+00:46:31,550 --> 00:46:39,330
+الـDX وظهر علنا تكامل جديد اللي هو من X تكييب على
+
+437
+00:46:39,330 --> 00:46:44,350
+واحد زائد X تربيع بدنا نشوف كيف بدنا نعمل في هذا
+
+438
+00:46:44,350 --> 00:46:45,170
+السؤال
+
+439
+00:46:52,210 --> 00:46:58,090
+قسمة مطولة، درجة البسط أكبر من درجة المقام يبقى
+
+440
+00:46:58,090 --> 00:47:01,650
+قليلة جبل هيك إذا درجة البسط جت درجة المقام أو
+
+441
+00:47:01,650 --> 00:47:05,770
+درجة البسط أكبر من درجة المقام بإمكانك أن تقسم
+
+442
+00:47:05,770 --> 00:47:13,170
+قسمة مطولة بدون أي مشاكل إذا بتروح أقسم X تكيب على
+
+443
+00:47:13,170 --> 00:47:20,590
+X تربيع زائد1 تمام؟ بقوله بسيطة X تكيب على X تربية
+
+444
+00:47:20,590 --> 00:47:27,350
+فيها جداش X X تكيب زائد X زائد خليها ناقص وهذا
+
+445
+00:47:27,350 --> 00:47:32,770
+ناقص بدل انه جداش ناقص X يبقى الباقي من الدرجة
+
+446
+00:47:32,770 --> 00:47:39,350
+الأولى والمقسوم عليه من الدرجة الثانيةيبقى يساوي x
+
+447
+00:47:39,350 --> 00:47:46,050
+تكييب تان inverse x ناقص تكامل خارج القسمة اللي هو
+
+448
+00:47:46,050 --> 00:47:53,150
+x الباقي ناقص x بدنا نجسمه لسه على واحد زائد x
+
+449
+00:47:53,150 --> 00:48:00,570
+تربية كله بالنسبة إلى dxيبقى يساوي X تكييب تان
+
+450
+00:48:00,570 --> 00:48:11,350
+inverse X ناقصها تكامل لل X DX زائد تكامل لل X
+
+451
+00:48:11,350 --> 00:48:18,980
+واحد زائد X تربيه DX وزائد التكامل لكل منهايبقى
+
+452
+00:48:18,980 --> 00:48:26,320
+هذا x تكريم تان inverse x زي بهو هذه ايش ناقص x
+
+453
+00:48:26,320 --> 00:48:33,340
+تربية على الاتنين طيب هذه ايه؟فاستفادوا للمقام
+
+454
+00:48:33,340 --> 00:48:39,120
+باستثناء اتنين بسيطة نضرب في اتنين و بنقسم على
+
+455
+00:48:39,120 --> 00:48:43,640
+اتنين يبقى كانوا ضربين في واحد صحيح لانه غير
+
+456
+00:48:43,640 --> 00:48:50,580
+القيمة زائد نص لان absolute value للمقام لما كان
+
+457
+00:48:50,580 --> 00:48:55,120
+المقام دائما و أبدا قيمة موجبة يبدو حطيت ال
+
+458
+00:48:55,120 --> 00:49:00,960
+absolute و لا محطتاش ماعناه مشكلةيعني بعد ما عملنا
+
+459
+00:49:00,960 --> 00:49:05,820
+integration by parts ظهر لنا تكامل جديد لك تحاول
+
+460
+00:49:05,820 --> 00:49:10,080
+تتخلص من هذا التكامل الجديد بأي طريقة من طرف
+
+461
+00:49:10,080 --> 00:49:14,580
+التكامل اللي اتعودناها قبل ذلك لحد هنا stop
+
+462
+00:49:14,580 --> 00:49:19,800
+ونازلنا في نفس ال section ونحتاج إلى أكتر من نصف
+
+463
+00:49:19,800 --> 00:49:25,600
+ساعة لإكمال هذا ال section ان شاء الله تعالى في
+
+464
+00:49:25,600 --> 00:49:28,300
+المرة القادمة يوم غدا
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/6MhDf1e0NL8_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/6MhDf1e0NL8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..b07d21b1f089c1c869564632edc65353c171e81a
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/6MhDf1e0NL8_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 1138, "start": 9.44, "end": 11.38, "text": "بسم الله الرحمن الرحيم", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640], "avg_logprob": -0.3580078214406967, "compression_ratio": 1.0789473684210527, "no_speech_prob": 0.0, "words": [{"start": 9.44, "end": 10.34, "word": "بسم", "probability": 0.2982177734375}, {"start": 10.34, "end": 10.48, "word": " الله", "probability": 0.96875}, {"start": 10.48, "end": 10.92, "word": " الرحمن", "probability": 0.94482421875}, {"start": 10.92, "end": 11.38, "word": " الرحيم", "probability": 0.9908854166666666}], "temperature": 1.0}, {"id": 2, "seek": 3472, "start": 12.6, "end": 34.72, "text": "حابين نذكر ان الامتحان النصف الأول ان شاء الله بعد أسبوعين يعني الثلاثاء بعد القادم في مثل هذا اليوم ان شاء الله الساعة أحداشر والقاع بجبالكوا ان شاء الله في الأسبوع القادم الحدد الكل هو القاع ماشي P 302؟ خلاص بتموم P 302", "tokens": [5016, 16758, 9957, 8717, 8848, 37983, 16472, 2423, 10943, 2655, 5016, 7649, 28239, 9381, 5172, 16247, 12610, 16472, 13412, 16606, 21984, 39182, 5551, 35457, 45367, 9957, 37495, 22653, 6024, 104, 1211, 5718, 104, 16606, 39182, 25062, 18513, 2304, 8978, 50113, 1211, 23758, 45595, 20498, 16472, 13412, 16606, 21984, 21136, 995, 27884, 5551, 24401, 33599, 2288, 16070, 4587, 45761, 4724, 7435, 3555, 6027, 4117, 14407, 16472, 13412, 16606, 21984, 8978, 16247, 35457, 45367, 25062, 18513, 2304, 21542, 3215, 3215, 2423, 28820, 31439, 25062, 45761, 3714, 33599, 1829, 430, 2217, 17, 22807, 16490, 1211, 33546, 39894, 2304, 20498, 430, 2217, 17], "avg_logprob": -0.17125000387430192, "compression_ratio": 2.01025641025641, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 12.6, "end": 13.14, "word": "حابين", "probability": 0.6935221354166666}, {"start": 13.14, "end": 13.7, "word": " نذكر", "probability": 0.9383138020833334}, {"start": 13.7, "end": 14.18, "word": " ان", "probability": 0.7041015625}, {"start": 14.18, "end": 14.74, "word": " الامتحان", "probability": 0.92080078125}, {"start": 14.74, "end": 15.18, "word": " النصف", "probability": 0.8946940104166666}, {"start": 15.18, "end": 15.62, "word": " الأول", "probability": 0.809326171875}, {"start": 15.62, "end": 15.86, "word": " ان", "probability": 0.6025390625}, {"start": 15.86, "end": 16.1, "word": " شاء", "probability": 0.984375}, {"start": 16.1, "end": 16.46, "word": " الله", "probability": 0.9638671875}, {"start": 16.46, "end": 17.4, "word": " بعد", "probability": 0.89111328125}, {"start": 17.4, "end": 18.52, "word": " أسبوعين", "probability": 0.9732666015625}, {"start": 18.52, "end": 18.92, "word": " يعني", "probability": 0.781494140625}, {"start": 18.92, "end": 20.04, "word": " الثلاثاء", "probability": 0.9495442708333334}, {"start": 20.04, "end": 20.6, "word": " بعد", "probability": 0.94775390625}, {"start": 20.6, "end": 21.52, "word": " القادم", "probability": 0.9645182291666666}, {"start": 21.52, "end": 21.8, "word": " في", "probability": 0.69775390625}, {"start": 21.8, "end": 22.18, "word": " مثل", "probability": 0.892822265625}, {"start": 22.18, "end": 22.6, "word": " هذا", "probability": 0.8798828125}, {"start": 22.6, "end": 23.32, "word": " اليوم", "probability": 0.985107421875}, {"start": 23.32, "end": 23.84, "word": " ان", "probability": 0.70166015625}, {"start": 23.84, "end": 24.02, "word": " شاء", "probability": 0.99462890625}, {"start": 24.02, "end": 24.2, "word": " الله", "probability": 0.95849609375}, {"start": 24.2, "end": 24.7, "word": " الساعة", "probability": 0.9464518229166666}, {"start": 24.7, "end": 25.46, "word": " أحداشر", "probability": 0.79571533203125}, {"start": 25.46, "end": 26.36, "word": " والقاع", "probability": 0.6956380208333334}, {"start": 26.36, "end": 27.06, "word": " بجبالكوا", "probability": 0.7000732421875}, {"start": 27.06, "end": 27.12, "word": " ان", "probability": 0.499267578125}, {"start": 27.12, "end": 27.32, "word": " شاء", "probability": 0.9931640625}, {"start": 27.32, "end": 27.4, "word": " الله", "probability": 0.96142578125}, {"start": 27.4, "end": 27.52, "word": " في", "probability": 0.88037109375}, {"start": 27.52, "end": 27.9, "word": " الأسبوع", "probability": 0.95849609375}, {"start": 27.9, "end": 28.36, "word": " القادم", "probability": 0.9933268229166666}, {"start": 28.36, "end": 28.82, "word": " الحدد", "probability": 0.9112955729166666}, {"start": 28.82, "end": 29.16, "word": " الكل", "probability": 0.8046875}, {"start": 29.16, "end": 29.6, "word": " هو", "probability": 0.919921875}, {"start": 29.6, "end": 30.46, "word": " القاع", "probability": 0.91015625}, {"start": 30.46, "end": 31.14, "word": " ماشي", "probability": 0.865234375}, {"start": 31.14, "end": 31.28, "word": " P", "probability": 0.849609375}, {"start": 31.28, "end": 32.72, "word": " 302؟", "probability": 0.65625}, {"start": 32.72, "end": 33.14, "word": " خلاص", "probability": 0.8450520833333334}, {"start": 33.14, "end": 33.62, "word": " بتموم", "probability": 0.77978515625}, {"start": 33.62, "end": 33.84, "word": " P", "probability": 0.96728515625}, {"start": 33.84, "end": 34.72, "word": " 302", "probability": 0.9130859375}], "temperature": 1.0}, {"id": 3, "seek": 6448, "start": 38.29, "end": 64.49, "text": "يبقى شعبكوا كلها ليه واحد و تمانين طالب القعب يه تلات مية و اتنين في المبنى اللي جبال المبنى القدس طيب نرجع لموضوعنا هذا لازلنا في موضوع relative rates of growth المرة اللي فاتت أخدنا definition وهذه ملاحظة مرتبطة بهذا ال definition وهي أخر نقطة موجودة في هذا الsection", "tokens": [1829, 3555, 4587, 7578, 13412, 3615, 3555, 4117, 14407, 28242, 11296, 32239, 3224, 36764, 24401, 4032, 46811, 7649, 9957, 23032, 6027, 3555, 25062, 3615, 3555, 7251, 3224, 6055, 1211, 9307, 3714, 10632, 4032, 1975, 2655, 1863, 9957, 8978, 9673, 3555, 1863, 7578, 13672, 1829, 10874, 3555, 6027, 9673, 3555, 1863, 7578, 25062, 3215, 3794, 23032, 1829, 3555, 8717, 47341, 3615, 32767, 2407, 11242, 45367, 8315, 23758, 5296, 31377, 1211, 8315, 8978, 3714, 2407, 11242, 45367, 4972, 6846, 295, 4599, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 5551, 9778, 3215, 8315, 7123, 37037, 24192, 3714, 15040, 5016, 19913, 3660, 3714, 43500, 3555, 9566, 3660, 39627, 15730, 2423, 7123, 37037, 1829, 5551, 34740, 8717, 47432, 3660, 3714, 29245, 23328, 3660, 8978, 23758, 2423, 11963], "avg_logprob": -0.20820630202448465, "compression_ratio": 1.782258064516129, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 38.29, "end": 38.73, "word": "يبقى", "probability": 0.74822998046875}, {"start": 38.73, "end": 39.37, "word": " شعبكوا", "probability": 0.708984375}, {"start": 39.37, "end": 39.89, "word": " كلها", "probability": 0.861328125}, {"start": 39.89, "end": 40.17, "word": " ليه", "probability": 0.7255859375}, {"start": 40.17, "end": 40.41, "word": " واحد", "probability": 0.64697265625}, {"start": 40.41, "end": 40.53, "word": " و", "probability": 0.394775390625}, {"start": 40.53, "end": 40.99, "word": " تمانين", "probability": 0.89892578125}, {"start": 40.99, "end": 41.43, "word": " طالب", "probability": 0.966796875}, {"start": 41.43, "end": 41.95, "word": " القعب", "probability": 0.595947265625}, {"start": 41.95, "end": 42.17, "word": " يه", "probability": 0.5343017578125}, {"start": 42.17, "end": 42.47, "word": " تلات", "probability": 0.85400390625}, {"start": 42.47, "end": 42.71, "word": " مية", "probability": 0.8310546875}, {"start": 42.71, "end": 42.85, "word": " و", "probability": 0.91455078125}, {"start": 42.85, "end": 43.27, "word": " اتنين", "probability": 0.927978515625}, {"start": 43.27, "end": 43.45, "word": " في", "probability": 0.7685546875}, {"start": 43.45, "end": 44.49, "word": " المبنى", "probability": 0.8167724609375}, {"start": 44.49, "end": 44.81, "word": " اللي", "probability": 0.553955078125}, {"start": 44.81, "end": 45.17, "word": " جبال", "probability": 0.72119140625}, {"start": 45.17, "end": 45.93, "word": " المبنى", "probability": 0.86407470703125}, {"start": 45.93, "end": 46.77, "word": " القدس", "probability": 0.98681640625}, {"start": 46.77, "end": 48.55, "word": " طيب", "probability": 0.7734375}, {"start": 48.55, "end": 49.13, "word": " نرجع", "probability": 0.87451171875}, {"start": 49.13, "end": 49.75, "word": " لموضوعنا", "probability": 0.9228515625}, {"start": 49.75, "end": 50.17, "word": " هذا", "probability": 0.93701171875}, {"start": 50.17, "end": 51.15, "word": " لازلنا", "probability": 0.8663330078125}, {"start": 51.15, "end": 51.31, "word": " في", "probability": 0.8115234375}, {"start": 51.31, "end": 51.81, "word": " موضوع", "probability": 0.9549560546875}, {"start": 51.81, "end": 52.43, "word": " relative", "probability": 0.69189453125}, {"start": 52.43, "end": 53.19, "word": " rates", "probability": 0.8544921875}, {"start": 53.19, "end": 53.49, "word": " of", "probability": 0.974609375}, {"start": 53.49, "end": 54.09, "word": " growth", "probability": 0.7470703125}, {"start": 54.09, "end": 55.11, "word": " المرة", "probability": 0.940673828125}, {"start": 55.11, "end": 55.31, "word": " اللي", "probability": 0.801513671875}, {"start": 55.31, "end": 55.73, "word": " فاتت", "probability": 0.9484049479166666}, {"start": 55.73, "end": 56.15, "word": " أخدنا", "probability": 0.8778076171875}, {"start": 56.15, "end": 56.63, "word": " definition", "probability": 0.7353515625}, {"start": 56.63, "end": 57.21, "word": " وهذه", "probability": 0.701904296875}, {"start": 57.21, "end": 57.91, "word": " ملاحظة", "probability": 0.95400390625}, {"start": 57.91, "end": 58.63, "word": " مرتبطة", "probability": 0.96123046875}, {"start": 58.63, "end": 59.29, "word": " بهذا", "probability": 0.938232421875}, {"start": 59.29, "end": 59.79, "word": " ال", "probability": 0.90869140625}, {"start": 59.79, "end": 60.35, "word": " definition", "probability": 0.87255859375}, {"start": 60.35, "end": 61.31, "word": " وهي", "probability": 0.897705078125}, {"start": 61.31, "end": 61.67, "word": " أخر", "probability": 0.78125}, {"start": 61.67, "end": 62.13, "word": " نقطة", "probability": 0.9864908854166666}, {"start": 62.13, "end": 62.73, "word": " موجودة", "probability": 0.9853515625}, {"start": 62.73, "end": 62.95, "word": " في", "probability": 0.97021484375}, {"start": 62.95, "end": 63.59, "word": " هذا", "probability": 0.9248046875}, {"start": 63.59, "end": 64.49, "word": " الsection", "probability": 0.597412109375}], "temperature": 1.0}, {"id": 4, "seek": 8293, "start": 65.37, "end": 82.93, "text": "بقول إذا كانت الدالة f grows at the same rate as g أو f grow at the same rate as x tends to infinity وفي نفس الوقت كان g grows at the same rate as h as x tends to infinity", "tokens": [3555, 39648, 11933, 15730, 25961, 2655, 32748, 6027, 3660, 283, 13156, 412, 264, 912, 3314, 382, 290, 34051, 283, 1852, 412, 264, 912, 3314, 382, 2031, 12258, 281, 13202, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 25961, 290, 13156, 412, 264, 912, 3314, 382, 276, 382, 2031, 12258, 281, 13202], "avg_logprob": -0.2310049007920658, "compression_ratio": 1.632, "no_speech_prob": 0.0, "words": [{"start": 65.37, "end": 65.87, "word": "بقول", "probability": 0.51220703125}, {"start": 65.87, "end": 66.25, "word": " إذا", "probability": 0.8505859375}, {"start": 66.25, "end": 66.79, "word": " كانت", "probability": 0.968994140625}, {"start": 66.79, "end": 67.45, "word": " الدالة", "probability": 0.8976236979166666}, {"start": 67.45, "end": 67.79, "word": " f", "probability": 0.2568359375}, {"start": 67.79, "end": 68.49, "word": " grows", "probability": 0.2218017578125}, {"start": 68.49, "end": 68.83, "word": " at", "probability": 0.96435546875}, {"start": 68.83, "end": 69.07, "word": " the", "probability": 0.94189453125}, {"start": 69.07, "end": 69.57, "word": " same", "probability": 0.90771484375}, {"start": 69.57, "end": 70.01, "word": " rate", "probability": 0.9765625}, {"start": 70.01, "end": 70.53, "word": " as", "probability": 0.9404296875}, {"start": 70.53, "end": 71.39, "word": " g", "probability": 0.465087890625}, {"start": 71.39, "end": 72.03, "word": " أو", "probability": 0.211181640625}, {"start": 72.03, "end": 72.41, "word": " f", "probability": 0.72998046875}, {"start": 72.41, "end": 72.87, "word": " grow", "probability": 0.791015625}, {"start": 72.87, "end": 73.15, "word": " at", "probability": 0.75634765625}, {"start": 73.15, "end": 73.37, "word": " the", "probability": 0.92822265625}, {"start": 73.37, "end": 73.71, "word": " same", "probability": 0.89892578125}, {"start": 73.71, "end": 74.01, "word": " rate", "probability": 0.966796875}, {"start": 74.01, "end": 74.39, "word": " as", "probability": 0.97119140625}, {"start": 74.39, "end": 74.77, "word": " x", "probability": 0.9658203125}, {"start": 74.77, "end": 75.41, "word": " tends", "probability": 0.8203125}, {"start": 75.41, "end": 75.69, "word": " to", "probability": 0.9658203125}, {"start": 75.69, "end": 76.31, "word": " infinity", "probability": 0.845703125}, {"start": 76.31, "end": 77.27, "word": " وفي", "probability": 0.865966796875}, {"start": 77.27, "end": 77.65, "word": " نفس", "probability": 0.997802734375}, {"start": 77.65, "end": 78.09, "word": " الوقت", "probability": 0.9851888020833334}, {"start": 78.09, "end": 78.33, "word": " كان", "probability": 0.87158203125}, {"start": 78.33, "end": 78.55, "word": " g", "probability": 0.87841796875}, {"start": 78.55, "end": 78.99, "word": " grows", "probability": 0.32373046875}, {"start": 78.99, "end": 79.23, "word": " at", "probability": 0.96923828125}, {"start": 79.23, "end": 79.41, "word": " the", "probability": 0.9326171875}, {"start": 79.41, "end": 79.71, "word": " same", "probability": 0.90087890625}, {"start": 79.71, "end": 80.09, "word": " rate", "probability": 0.96826171875}, {"start": 80.09, "end": 80.63, "word": " as", "probability": 0.9423828125}, {"start": 80.63, "end": 81.03, "word": " h", "probability": 0.9814453125}, {"start": 81.03, "end": 81.39, "word": " as", "probability": 0.97216796875}, {"start": 81.39, "end": 81.69, "word": " x", "probability": 0.99169921875}, {"start": 81.69, "end": 82.05, "word": " tends", "probability": 0.859375}, {"start": 82.05, "end": 82.31, "word": " to", "probability": 0.97119140625}, {"start": 82.31, "end": 82.93, "word": " infinity", "probability": 0.89990234375}], "temperature": 1.0}, {"id": 5, "seek": 9811, "start": 83.43, "end": 98.11, "text": "يبجد من الأولى مع الأخيرة ال F مع H اتنين grow at the same rate as X tends to infinity that is الكلام اللي قلناه بنروح نعبر عنه بصيغة رياضية", "tokens": [1829, 3555, 7435, 3215, 9154, 16247, 12610, 7578, 20449, 16247, 9778, 48923, 2423, 479, 20449, 389, 1975, 2655, 1863, 9957, 1852, 412, 264, 912, 3314, 382, 1783, 12258, 281, 13202, 300, 307, 2423, 28820, 10943, 13672, 1829, 12174, 1211, 8315, 3224, 44945, 32887, 5016, 8717, 3615, 3555, 2288, 18871, 3224, 4724, 9381, 1829, 17082, 3660, 12602, 1829, 46958, 10632], "avg_logprob": -0.2549479077259699, "compression_ratio": 1.2839506172839505, "no_speech_prob": 0.0, "words": [{"start": 83.43, "end": 84.11, "word": "يبجد", "probability": 0.6995849609375}, {"start": 84.11, "end": 84.39, "word": " من", "probability": 0.91796875}, {"start": 84.39, "end": 85.41, "word": " الأولى", "probability": 0.8515625}, {"start": 85.41, "end": 85.67, "word": " مع", "probability": 0.912109375}, {"start": 85.67, "end": 86.63, "word": " الأخيرة", "probability": 0.8522135416666666}, {"start": 86.63, "end": 86.95, "word": " ال", "probability": 0.5341796875}, {"start": 86.95, "end": 87.29, "word": " F", "probability": 0.68408203125}, {"start": 87.29, "end": 87.71, "word": " مع", "probability": 0.9140625}, {"start": 87.71, "end": 88.33, "word": " H", "probability": 0.802734375}, {"start": 88.33, "end": 89.25, "word": " اتنين", "probability": 0.75360107421875}, {"start": 89.25, "end": 89.59, "word": " grow", "probability": 0.1915283203125}, {"start": 89.59, "end": 89.85, "word": " at", "probability": 0.8720703125}, {"start": 89.85, "end": 90.07, "word": " the", "probability": 0.92529296875}, {"start": 90.07, "end": 90.37, "word": " same", "probability": 0.9072265625}, {"start": 90.37, "end": 90.75, "word": " rate", "probability": 0.96435546875}, {"start": 90.75, "end": 91.13, "word": " as", "probability": 0.9140625}, {"start": 91.13, "end": 91.55, "word": " X", "probability": 0.95654296875}, {"start": 91.55, "end": 92.11, "word": " tends", "probability": 0.875}, {"start": 92.11, "end": 92.41, "word": " to", "probability": 0.9560546875}, {"start": 92.41, "end": 93.17, "word": " infinity", "probability": 0.77734375}, {"start": 93.17, "end": 93.71, "word": " that", "probability": 0.7255859375}, {"start": 93.71, "end": 93.97, "word": " is", "probability": 0.95947265625}, {"start": 93.97, "end": 94.91, "word": " الكلام", "probability": 0.84619140625}, {"start": 94.91, "end": 95.05, "word": " اللي", "probability": 0.82861328125}, {"start": 95.05, "end": 95.47, "word": " قلناه", "probability": 0.9373779296875}, {"start": 95.47, "end": 95.79, "word": " بنروح", "probability": 0.8060709635416666}, {"start": 95.79, "end": 96.29, "word": " نعبر", "probability": 0.8154296875}, {"start": 96.29, "end": 96.65, "word": " عنه", "probability": 0.827880859375}, {"start": 96.65, "end": 97.43, "word": " بصيغة", "probability": 0.843896484375}, {"start": 97.43, "end": 98.11, "word": " رياضية", "probability": 0.79168701171875}], "temperature": 1.0}, {"id": 6, "seek": 11744, "start": 98.58, "end": 117.44, "text": "الأولى F grows زي G as X tends to infinity يعني لو جسمت اتنين على بعض واخدت limit لما ال X بدأ تروح للملنيا بتعطيني رقم L1 و L1 محصور بين ال zero و ال infinity بعدد موجة اتنين", "tokens": [6027, 10721, 12610, 7578, 479, 13156, 30767, 1829, 460, 382, 1783, 12258, 281, 13202, 37495, 22653, 45164, 10874, 38251, 2655, 1975, 2655, 1863, 9957, 15844, 45030, 11242, 4032, 47283, 3215, 2655, 4948, 5296, 15042, 2423, 1783, 47525, 10721, 6055, 32887, 5016, 5296, 19528, 1211, 22653, 995, 39894, 3615, 9566, 9957, 1829, 12602, 4587, 2304, 441, 16, 4032, 441, 16, 3714, 5016, 9381, 13063, 49374, 2423, 4018, 4032, 2423, 13202, 4724, 22488, 3215, 3714, 29245, 3660, 1975, 2655, 1863, 9957], "avg_logprob": -0.2664062589406967, "compression_ratio": 1.402116402116402, "no_speech_prob": 0.0, "words": [{"start": 98.58, "end": 99.38, "word": "الأولى", "probability": 0.7188720703125}, {"start": 99.38, "end": 99.66, "word": " F", "probability": 0.375}, {"start": 99.66, "end": 100.26, "word": " grows", "probability": 0.1639404296875}, {"start": 100.26, "end": 100.66, "word": " زي", "probability": 0.748779296875}, {"start": 100.66, "end": 100.9, "word": " G", "probability": 0.59033203125}, {"start": 100.9, "end": 101.22, "word": " as", "probability": 0.86376953125}, {"start": 101.22, "end": 101.46, "word": " X", "probability": 0.8671875}, {"start": 101.46, "end": 101.78, "word": " tends", "probability": 0.85546875}, {"start": 101.78, "end": 101.92, "word": " to", "probability": 0.904296875}, {"start": 101.92, "end": 102.42, "word": " infinity", "probability": 0.736328125}, {"start": 102.42, "end": 102.84, "word": " يعني", "probability": 0.7509765625}, {"start": 102.84, "end": 103.06, "word": " لو", "probability": 0.90234375}, {"start": 103.06, "end": 103.6, "word": " جسمت", "probability": 0.9095052083333334}, {"start": 103.6, "end": 104.04, "word": " اتنين", "probability": 0.9119873046875}, {"start": 104.04, "end": 104.28, "word": " على", "probability": 0.63720703125}, {"start": 104.28, "end": 104.64, "word": " بعض", "probability": 0.990478515625}, {"start": 104.64, "end": 105.18, "word": " واخدت", "probability": 0.904052734375}, {"start": 105.18, "end": 105.5, "word": " limit", "probability": 0.50537109375}, {"start": 105.5, "end": 105.9, "word": " لما", "probability": 0.877197265625}, {"start": 105.9, "end": 106.02, "word": " ال", "probability": 0.77490234375}, {"start": 106.02, "end": 106.3, "word": " X", "probability": 0.83447265625}, {"start": 106.3, "end": 107.0, "word": " بدأ", "probability": 0.504150390625}, {"start": 107.0, "end": 107.28, "word": " تروح", "probability": 0.8318684895833334}, {"start": 107.28, "end": 108.06, "word": " للملنيا", "probability": 0.6916015625}, {"start": 108.06, "end": 108.96, "word": " بتعطيني", "probability": 0.856640625}, {"start": 108.96, "end": 109.76, "word": " رقم", "probability": 0.9915364583333334}, {"start": 109.76, "end": 110.72, "word": " L1", "probability": 0.84130859375}, {"start": 110.72, "end": 111.28, "word": " و", "probability": 0.71044921875}, {"start": 111.28, "end": 111.94, "word": " L1", "probability": 0.813232421875}, {"start": 111.94, "end": 112.48, "word": " محصور", "probability": 0.96484375}, {"start": 112.48, "end": 112.78, "word": " بين", "probability": 0.9912109375}, {"start": 112.78, "end": 112.96, "word": " ال", "probability": 0.8876953125}, {"start": 112.96, "end": 113.34, "word": " zero", "probability": 0.399658203125}, {"start": 113.34, "end": 113.9, "word": " و", "probability": 0.7275390625}, {"start": 113.9, "end": 114.12, "word": " ال", "probability": 0.68798828125}, {"start": 114.12, "end": 114.82, "word": " infinity", "probability": 0.900390625}, {"start": 114.82, "end": 115.7, "word": " بعدد", "probability": 0.7458902994791666}, {"start": 115.7, "end": 116.3, "word": " موجة", "probability": 0.9064127604166666}, {"start": 116.3, "end": 117.44, "word": " اتنين", "probability": 0.846435546875}], "temperature": 1.0}, {"id": 7, "seek": 13552, "start": 118.1, "end": 135.52, "text": "النقطة التانية جي و الـ h grow at the same rate يبقى مع الكلام ان ال limit الـ g of x علي h of x لما الـ x بدها تروح للمالة نهاية بدها تساوي L2 و ال L2 محصورة بين ال zero بين ال infinity", "tokens": [6027, 1863, 47432, 3660, 16712, 7649, 10632, 10874, 1829, 4032, 2423, 39184, 276, 1852, 412, 264, 912, 3314, 7251, 3555, 4587, 7578, 20449, 2423, 28820, 10943, 16472, 2423, 4948, 2423, 39184, 290, 295, 2031, 25894, 276, 295, 2031, 5296, 15042, 2423, 39184, 2031, 47525, 11296, 6055, 32887, 5016, 5296, 19528, 6027, 3660, 8717, 11296, 10632, 47525, 11296, 6055, 3794, 995, 45865, 441, 17, 4032, 2423, 441, 17, 3714, 5016, 9381, 13063, 3660, 49374, 2423, 4018, 49374, 2423, 13202], "avg_logprob": -0.35502374474006365, "compression_ratio": 1.5469613259668509, "no_speech_prob": 0.0, "words": [{"start": 118.1, "end": 118.66, "word": "النقطة", "probability": 0.83197021484375}, {"start": 118.66, "end": 119.2, "word": " التانية", "probability": 0.9119466145833334}, {"start": 119.2, "end": 119.7, "word": " جي", "probability": 0.59716796875}, {"start": 119.7, "end": 119.86, "word": " و", "probability": 0.334716796875}, {"start": 119.86, "end": 120.1, "word": " الـ", "probability": 0.474609375}, {"start": 120.1, "end": 120.4, "word": " h", "probability": 0.30224609375}, {"start": 120.4, "end": 120.92, "word": " grow", "probability": 0.263427734375}, {"start": 120.92, "end": 121.32, "word": " at", "probability": 0.85009765625}, {"start": 121.32, "end": 121.62, "word": " the", "probability": 0.91015625}, {"start": 121.62, "end": 122.04, "word": " same", "probability": 0.91748046875}, {"start": 122.04, "end": 122.58, "word": " rate", "probability": 0.9765625}, {"start": 122.58, "end": 123.24, "word": " يبقى", "probability": 0.91845703125}, {"start": 123.24, "end": 123.42, "word": " مع", "probability": 0.9638671875}, {"start": 123.42, "end": 123.96, "word": " الكلام", "probability": 0.8810221354166666}, {"start": 123.96, "end": 124.14, "word": " ان", "probability": 0.6875}, {"start": 124.14, "end": 124.26, "word": " ال", "probability": 0.615234375}, {"start": 124.26, "end": 124.62, "word": " limit", "probability": 0.63916015625}, {"start": 124.62, "end": 124.9, "word": " الـ", "probability": 0.397705078125}, {"start": 124.9, "end": 125.02, "word": " g", "probability": 0.388916015625}, {"start": 125.02, "end": 125.22, "word": " of", "probability": 0.61767578125}, {"start": 125.22, "end": 125.5, "word": " x", "probability": 0.96728515625}, {"start": 125.5, "end": 125.74, "word": " علي", "probability": 0.54638671875}, {"start": 125.74, "end": 125.98, "word": " h", "probability": 0.82470703125}, {"start": 125.98, "end": 126.16, "word": " of", "probability": 0.919921875}, {"start": 126.16, "end": 126.4, "word": " x", "probability": 0.9892578125}, {"start": 126.4, "end": 126.68, "word": " لما", "probability": 0.8623046875}, {"start": 126.68, "end": 126.84, "word": " الـ", "probability": 0.744873046875}, {"start": 126.84, "end": 127.0, "word": " x", "probability": 0.6708984375}, {"start": 127.0, "end": 127.26, "word": " بدها", "probability": 0.32037353515625}, {"start": 127.26, "end": 127.5, "word": " تروح", "probability": 0.92333984375}, {"start": 127.5, "end": 128.02, "word": " للمالة", "probability": 0.5986328125}, {"start": 128.02, "end": 128.56, "word": " نهاية", "probability": 0.8282877604166666}, {"start": 128.56, "end": 129.46, "word": " بدها", "probability": 0.850830078125}, {"start": 129.46, "end": 130.2, "word": " تساوي", "probability": 0.96044921875}, {"start": 130.2, "end": 131.22, "word": " L2", "probability": 0.652587890625}, {"start": 131.22, "end": 131.42, "word": " و", "probability": 0.385009765625}, {"start": 131.42, "end": 131.6, "word": " ال", "probability": 0.58935546875}, {"start": 131.6, "end": 132.36, "word": " L2", "probability": 0.8564453125}, {"start": 132.36, "end": 133.06, "word": " محصورة", "probability": 0.941015625}, {"start": 133.06, "end": 133.28, "word": " بين", "probability": 0.9765625}, {"start": 133.28, "end": 133.44, "word": " ال", "probability": 0.91943359375}, {"start": 133.44, "end": 133.72, "word": " zero", "probability": 0.26513671875}, {"start": 133.72, "end": 134.2, "word": " بين", "probability": 0.40673828125}, {"start": 134.2, "end": 134.96, "word": " ال", "probability": 0.93359375}, {"start": 134.96, "end": 135.52, "word": " infinity", "probability": 0.88134765625}], "temperature": 1.0}, {"id": 8, "seek": 15972, "start": 136.06, "end": 159.72, "text": "إن حدث ذلك يبقى بكل هذا بيكون ال F و ال H grow at the same rate as X tends to infinity بيبقى نعبر عن ذلك بصيغة رياضية تالية limit لما ال X tends to infinity لل F of X على مين؟ على ال H of X", "tokens": [28814, 1863, 11331, 3215, 12984, 29910, 23275, 7251, 3555, 4587, 7578, 4724, 28820, 23758, 4724, 1829, 30544, 2423, 479, 4032, 2423, 389, 1852, 412, 264, 912, 3314, 382, 1783, 12258, 281, 13202, 4724, 1829, 3555, 4587, 7578, 8717, 3615, 3555, 2288, 18871, 29910, 23275, 4724, 9381, 1829, 17082, 3660, 12602, 1829, 46958, 10632, 6055, 6027, 10632, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 24976, 479, 295, 1783, 15844, 3714, 9957, 22807, 15844, 2423, 389, 295, 1783], "avg_logprob": -0.24098558036180642, "compression_ratio": 1.4615384615384615, "no_speech_prob": 0.0, "words": [{"start": 136.06, "end": 136.5, "word": "إن", "probability": 0.723876953125}, {"start": 136.5, "end": 137.0, "word": " حدث", "probability": 0.9833984375}, {"start": 137.0, "end": 137.68, "word": " ذلك", "probability": 0.982666015625}, {"start": 137.68, "end": 138.2, "word": " يبقى", "probability": 0.940673828125}, {"start": 138.2, "end": 138.74, "word": " بكل", "probability": 0.6763916015625}, {"start": 138.74, "end": 139.3, "word": " هذا", "probability": 0.95263671875}, {"start": 139.3, "end": 139.88, "word": " بيكون", "probability": 0.7167561848958334}, {"start": 139.88, "end": 140.08, "word": " ال", "probability": 0.80322265625}, {"start": 140.08, "end": 140.4, "word": " F", "probability": 0.68115234375}, {"start": 140.4, "end": 140.7, "word": " و", "probability": 0.58203125}, {"start": 140.7, "end": 140.9, "word": " ال", "probability": 0.701171875}, {"start": 140.9, "end": 141.26, "word": " H", "probability": 0.93798828125}, {"start": 141.26, "end": 141.98, "word": " grow", "probability": 0.1800537109375}, {"start": 141.98, "end": 142.28, "word": " at", "probability": 0.90087890625}, {"start": 142.28, "end": 142.58, "word": " the", "probability": 0.9248046875}, {"start": 142.58, "end": 142.88, "word": " same", "probability": 0.8984375}, {"start": 142.88, "end": 143.26, "word": " rate", "probability": 0.9677734375}, {"start": 143.26, "end": 143.68, "word": " as", "probability": 0.92822265625}, {"start": 143.68, "end": 144.06, "word": " X", "probability": 0.884765625}, {"start": 144.06, "end": 144.38, "word": " tends", "probability": 0.85546875}, {"start": 144.38, "end": 144.62, "word": " to", "probability": 0.9541015625}, {"start": 144.62, "end": 145.2, "word": " infinity", "probability": 0.8017578125}, {"start": 145.2, "end": 146.02, "word": " بيبقى", "probability": 0.67578125}, {"start": 146.02, "end": 146.54, "word": " نعبر", "probability": 0.74951171875}, {"start": 146.54, "end": 146.82, "word": " عن", "probability": 0.96044921875}, {"start": 146.82, "end": 147.5, "word": " ذلك", "probability": 0.990234375}, {"start": 147.5, "end": 148.26, "word": " بصيغة", "probability": 0.881396484375}, {"start": 148.26, "end": 149.18, "word": " رياضية", "probability": 0.9833984375}, {"start": 149.18, "end": 149.92, "word": " تالية", "probability": 0.958984375}, {"start": 149.92, "end": 150.9, "word": " limit", "probability": 0.70654296875}, {"start": 150.9, "end": 151.26, "word": " لما", "probability": 0.937744140625}, {"start": 151.26, "end": 151.44, "word": " ال", "probability": 0.87646484375}, {"start": 151.44, "end": 151.7, "word": " X", "probability": 0.931640625}, {"start": 151.7, "end": 152.1, "word": " tends", "probability": 0.7431640625}, {"start": 152.1, "end": 152.38, "word": " to", "probability": 0.92041015625}, {"start": 152.38, "end": 152.98, "word": " infinity", "probability": 0.8740234375}, {"start": 152.98, "end": 153.32, "word": " لل", "probability": 0.54541015625}, {"start": 153.32, "end": 153.8, "word": " F", "probability": 0.916015625}, {"start": 153.8, "end": 155.82, "word": " of", "probability": 0.81884765625}, {"start": 155.82, "end": 156.3, "word": " X", "probability": 0.810546875}, {"start": 156.3, "end": 157.1, "word": " على", "probability": 0.740234375}, {"start": 157.1, "end": 157.74, "word": " مين؟", "probability": 0.5887044270833334}, {"start": 157.74, "end": 158.08, "word": " على", "probability": 0.80615234375}, {"start": 158.08, "end": 158.36, "word": " ال", "probability": 0.88037109375}, {"start": 158.36, "end": 158.72, "word": " H", "probability": 0.93994140625}, {"start": 158.72, "end": 159.22, "word": " of", "probability": 0.9287109375}, {"start": 159.22, "end": 159.72, "word": " X", "probability": 0.99755859375}], "temperature": 1.0}, {"id": 9, "seek": 18773, "start": 161.61, "end": 187.73, "text": "هذا limit لما ال X tends to infinity هذه ممكن اكتبها بطريقة أخرى لو ضربت في واحد صحيح حال تتغير القيمة بدي اعتبر الواحد الصحيح هو G of X على G of X يبقى بيصير limit ال F of X على ال G of X في ال G of X على ال H of X ويساوي", "tokens": [3224, 15730, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 29538, 3714, 43020, 1975, 4117, 2655, 3555, 11296, 4724, 9566, 16572, 28671, 5551, 34740, 7578, 45164, 48812, 25513, 2655, 8978, 36764, 24401, 20328, 5016, 1829, 5016, 11331, 6027, 6055, 2655, 17082, 13546, 25062, 32640, 3660, 4724, 16254, 1975, 34268, 26890, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 31439, 460, 295, 1783, 15844, 460, 295, 1783, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 4948, 2423, 479, 295, 1783, 15844, 2423, 460, 295, 1783, 8978, 2423, 460, 295, 1783, 15844, 2423, 389, 295, 1783, 4032, 1829, 3794, 995, 45865], "avg_logprob": -0.21906565536152234, "compression_ratio": 1.6782178217821782, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 161.61, "end": 162.03, "word": "هذا", "probability": 0.818115234375}, {"start": 162.03, "end": 162.51, "word": " limit", "probability": 0.2337646484375}, {"start": 162.51, "end": 163.41, "word": " لما", "probability": 0.665283203125}, {"start": 163.41, "end": 163.59, "word": " ال", "probability": 0.69970703125}, {"start": 163.59, "end": 163.85, "word": " X", "probability": 0.378662109375}, {"start": 163.85, "end": 164.25, "word": " tends", "probability": 0.595703125}, {"start": 164.25, "end": 164.53, "word": " to", "probability": 0.904296875}, {"start": 164.53, "end": 165.13, "word": " infinity", "probability": 0.810546875}, {"start": 165.13, "end": 166.27, "word": " هذه", "probability": 0.3193359375}, {"start": 166.27, "end": 166.77, "word": " ممكن", "probability": 0.853271484375}, {"start": 166.77, "end": 167.45, "word": " اكتبها", "probability": 0.9470703125}, {"start": 167.45, "end": 168.21, "word": " بطريقة", "probability": 0.9820556640625}, {"start": 168.21, "end": 168.69, "word": " أخرى", "probability": 0.84375}, {"start": 168.69, "end": 168.93, "word": " لو", "probability": 0.56494140625}, {"start": 168.93, "end": 169.51, "word": " ضربت", "probability": 0.9676106770833334}, {"start": 169.51, "end": 169.71, "word": " في", "probability": 0.8359375}, {"start": 169.71, "end": 170.11, "word": " واحد", "probability": 0.6883544921875}, {"start": 170.11, "end": 170.63, "word": " صحيح", "probability": 0.9794921875}, {"start": 170.63, "end": 170.85, "word": " حال", "probability": 0.743896484375}, {"start": 170.85, "end": 171.45, "word": " تتغير", "probability": 0.88671875}, {"start": 171.45, "end": 172.27, "word": " القيمة", "probability": 0.9591471354166666}, {"start": 172.27, "end": 173.09, "word": " بدي", "probability": 0.55364990234375}, {"start": 173.09, "end": 173.53, "word": " اعتبر", "probability": 0.9055989583333334}, {"start": 173.53, "end": 173.97, "word": " الواحد", "probability": 0.8974609375}, {"start": 173.97, "end": 174.35, "word": " الصحيح", "probability": 0.9688720703125}, {"start": 174.35, "end": 174.55, "word": " هو", "probability": 0.943359375}, {"start": 174.55, "end": 174.85, "word": " G", "probability": 0.35400390625}, {"start": 174.85, "end": 175.19, "word": " of", "probability": 0.44189453125}, {"start": 175.19, "end": 175.53, "word": " X", "probability": 0.98046875}, {"start": 175.53, "end": 175.99, "word": " على", "probability": 0.65380859375}, {"start": 175.99, "end": 176.67, "word": " G", "probability": 0.962890625}, {"start": 176.67, "end": 176.95, "word": " of", "probability": 0.96533203125}, {"start": 176.95, "end": 177.25, "word": " X", "probability": 0.99658203125}, {"start": 177.25, "end": 177.89, "word": " يبقى", "probability": 0.7078857421875}, {"start": 177.89, "end": 178.39, "word": " بيصير", "probability": 0.861572265625}, {"start": 178.39, "end": 178.87, "word": " limit", "probability": 0.521484375}, {"start": 178.87, "end": 179.19, "word": " ال", "probability": 0.423095703125}, {"start": 179.19, "end": 179.55, "word": " F", "probability": 0.91259765625}, {"start": 179.55, "end": 180.01, "word": " of", "probability": 0.970703125}, {"start": 180.01, "end": 180.47, "word": " X", "probability": 0.99365234375}, {"start": 180.47, "end": 181.01, "word": " على", "probability": 0.80078125}, {"start": 181.01, "end": 181.33, "word": " ال", "probability": 0.7587890625}, {"start": 181.33, "end": 181.61, "word": " G", "probability": 0.95751953125}, {"start": 181.61, "end": 182.13, "word": " of", "probability": 0.978515625}, {"start": 182.13, "end": 182.59, "word": " X", "probability": 0.99755859375}, {"start": 182.59, "end": 183.13, "word": " في", "probability": 0.7822265625}, {"start": 183.13, "end": 183.35, "word": " ال", "probability": 0.6962890625}, {"start": 183.35, "end": 183.63, "word": " G", "probability": 0.94775390625}, {"start": 183.63, "end": 184.07, "word": " of", "probability": 0.9814453125}, {"start": 184.07, "end": 184.59, "word": " X", "probability": 0.9970703125}, {"start": 184.59, "end": 185.05, "word": " على", "probability": 0.8544921875}, {"start": 185.05, "end": 185.35, "word": " ال", "probability": 0.947265625}, {"start": 185.35, "end": 185.73, "word": " H", "probability": 0.95751953125}, {"start": 185.73, "end": 186.27, "word": " of", "probability": 0.9775390625}, {"start": 186.27, "end": 186.75, "word": " X", "probability": 0.9736328125}, {"start": 186.75, "end": 187.73, "word": " ويساوي", "probability": 0.827734375}], "temperature": 1.0}, {"id": 10, "seek": 20272, "start": 188.46, "end": 202.72, "text": "بقى ال limit بتدخل على كل واحدة فيهم يبقى limit الأولى هذا بجداش ال one يبقى هذا ال one و limit التاني هذا ال two", "tokens": [3555, 4587, 7578, 2423, 4948, 39894, 3215, 9778, 1211, 15844, 28242, 36764, 24401, 3660, 8978, 16095, 7251, 3555, 4587, 7578, 4948, 16247, 12610, 7578, 23758, 4724, 7435, 3215, 33599, 2423, 472, 7251, 3555, 4587, 7578, 23758, 2423, 472, 4032, 4948, 16712, 7649, 1829, 23758, 2423, 732], "avg_logprob": -0.2288896232209307, "compression_ratio": 1.5084745762711864, "no_speech_prob": 0.0, "words": [{"start": 188.46, "end": 188.88, "word": "بقى", "probability": 0.664306640625}, {"start": 188.88, "end": 188.94, "word": " ال", "probability": 0.6796875}, {"start": 188.94, "end": 189.16, "word": " limit", "probability": 0.69921875}, {"start": 189.16, "end": 189.84, "word": " بتدخل", "probability": 0.972412109375}, {"start": 189.84, "end": 190.08, "word": " على", "probability": 0.78955078125}, {"start": 190.08, "end": 190.62, "word": " كل", "probability": 0.98583984375}, {"start": 190.62, "end": 191.36, "word": " واحدة", "probability": 0.9632161458333334}, {"start": 191.36, "end": 191.98, "word": " فيهم", "probability": 0.958984375}, {"start": 191.98, "end": 192.88, "word": " يبقى", "probability": 0.8359375}, {"start": 192.88, "end": 193.32, "word": " limit", "probability": 0.888671875}, {"start": 193.32, "end": 194.06, "word": " الأولى", "probability": 0.9052734375}, {"start": 194.06, "end": 194.3, "word": " هذا", "probability": 0.290283203125}, {"start": 194.3, "end": 195.22, "word": " بجداش", "probability": 0.711181640625}, {"start": 195.22, "end": 195.54, "word": " ال", "probability": 0.94775390625}, {"start": 195.54, "end": 196.46, "word": " one", "probability": 0.90771484375}, {"start": 196.46, "end": 197.56, "word": " يبقى", "probability": 0.918212890625}, {"start": 197.56, "end": 198.08, "word": " هذا", "probability": 0.896484375}, {"start": 198.08, "end": 198.68, "word": " ال", "probability": 0.9853515625}, {"start": 198.68, "end": 199.12, "word": " one", "probability": 0.96923828125}, {"start": 199.12, "end": 199.74, "word": " و", "probability": 0.86572265625}, {"start": 199.74, "end": 200.14, "word": " limit", "probability": 0.9423828125}, {"start": 200.14, "end": 200.76, "word": " التاني", "probability": 0.8177083333333334}, {"start": 200.76, "end": 201.16, "word": " هذا", "probability": 0.381103515625}, {"start": 201.16, "end": 202.1, "word": " ال", "probability": 0.966796875}, {"start": 202.1, "end": 202.72, "word": " two", "probability": 0.962890625}], "temperature": 1.0}, {"id": 11, "seek": 22159, "start": 204.35, "end": 221.59, "text": "الـ L1 و L2 هم عمومات حقيقية لأن المحصولة بين الـ 0 و 1 يبقى حاصل ضربهم برضه يبقى عمومات حقيقية وهذا يستوى لـ L1 L2 و L1 L2 أكبر من 0 أقل من 100", "tokens": [6027, 39184, 441, 16, 4032, 441, 17, 8032, 2304, 6225, 2304, 2407, 15042, 2655, 11331, 38436, 4587, 10632, 5296, 33456, 9673, 5016, 9381, 12610, 3660, 49374, 2423, 39184, 1958, 4032, 502, 7251, 3555, 4587, 7578, 11331, 33546, 1211, 48812, 25513, 16095, 4724, 43042, 3224, 7251, 3555, 4587, 7578, 6225, 2304, 2407, 15042, 2655, 11331, 38436, 4587, 10632, 37037, 15730, 7251, 14851, 2407, 7578, 5296, 39184, 441, 16, 441, 17, 4032, 441, 16, 441, 17, 5551, 4117, 26890, 9154, 1958, 5551, 4587, 1211, 9154, 2319], "avg_logprob": -0.435294106427361, "compression_ratio": 1.6275862068965516, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 204.35, "end": 204.85, "word": "الـ", "probability": 0.2447509765625}, {"start": 204.85, "end": 205.05, "word": " L1", "probability": 0.7078857421875}, {"start": 205.05, "end": 205.21, "word": " و", "probability": 0.81689453125}, {"start": 205.21, "end": 205.63, "word": " L2", "probability": 0.907958984375}, {"start": 205.63, "end": 206.07, "word": " هم", "probability": 0.55078125}, {"start": 206.07, "end": 206.23, "word": " عمومات", "probability": 0.41279296875}, {"start": 206.23, "end": 206.87, "word": " حقيقية", "probability": 0.887451171875}, {"start": 206.87, "end": 207.57, "word": " لأن", "probability": 0.3443603515625}, {"start": 207.57, "end": 208.11, "word": " المحصولة", "probability": 0.72415771484375}, {"start": 208.11, "end": 208.25, "word": " بين", "probability": 0.77734375}, {"start": 208.25, "end": 208.43, "word": " الـ", "probability": 0.206512451171875}, {"start": 208.43, "end": 208.59, "word": " 0", "probability": 0.2421875}, {"start": 208.59, "end": 208.69, "word": " و", "probability": 0.87255859375}, {"start": 208.69, "end": 208.87, "word": " 1", "probability": 0.475830078125}, {"start": 208.87, "end": 209.21, "word": " يبقى", "probability": 0.760498046875}, {"start": 209.21, "end": 209.73, "word": " حاصل", "probability": 0.9156901041666666}, {"start": 209.73, "end": 210.33, "word": " ضربهم", "probability": 0.9591471354166666}, {"start": 210.33, "end": 211.17, "word": " برضه", "probability": 0.7439778645833334}, {"start": 211.17, "end": 211.91, "word": " يبقى", "probability": 0.90869140625}, {"start": 211.91, "end": 213.41, "word": " عمومات", "probability": 0.88818359375}, {"start": 213.41, "end": 213.41, "word": " حقيقية", "probability": 0.9896240234375}, {"start": 213.41, "end": 214.17, "word": " وهذا", "probability": 0.56610107421875}, {"start": 214.17, "end": 214.95, "word": " يستوى", "probability": 0.48828125}, {"start": 214.95, "end": 215.19, "word": " لـ", "probability": 0.646484375}, {"start": 215.19, "end": 215.91, "word": " L1", "probability": 0.953125}, {"start": 215.91, "end": 216.99, "word": " L2", "probability": 0.663330078125}, {"start": 216.99, "end": 217.47, "word": " و", "probability": 0.414306640625}, {"start": 217.47, "end": 218.33, "word": " L1", "probability": 0.883544921875}, {"start": 218.33, "end": 219.09, "word": " L2", "probability": 0.957763671875}, {"start": 219.09, "end": 219.75, "word": " أكبر", "probability": 0.9171549479166666}, {"start": 219.75, "end": 219.99, "word": " من", "probability": 0.98095703125}, {"start": 219.99, "end": 220.37, "word": " 0", "probability": 0.37255859375}, {"start": 220.37, "end": 221.05, "word": " أقل", "probability": 0.8564453125}, {"start": 221.05, "end": 221.27, "word": " من", "probability": 0.974609375}, {"start": 221.27, "end": 221.59, "word": " 100", "probability": 0.87109375}], "temperature": 1.0}, {"id": 12, "seek": 22487, "start": 222.37, "end": 224.87, "text": "ما هو معنى هذا الكلام؟", "tokens": [15042, 31439, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 22807], "avg_logprob": -0.6257102164355192, "compression_ratio": 0.8695652173913043, "no_speech_prob": 0.0, "words": [{"start": 222.37, "end": 223.13, "word": "ما", "probability": 0.135009765625}, {"start": 223.13, "end": 223.25, "word": " هو", "probability": 0.27197265625}, {"start": 223.25, "end": 223.63, "word": " معنى", "probability": 0.8914388020833334}, {"start": 223.63, "end": 223.87, "word": " هذا", "probability": 0.80517578125}, {"start": 223.87, "end": 224.87, "word": " الكلام؟", "probability": 0.7711181640625}], "temperature": 1.0}, {"id": 13, "seek": 27112, "start": 246.5, "end": 271.12, "text": "متى نلجأ لاستخدام هذه الـ remark بحل المسائل المختلفة؟ لنقول أبدا، المرة اللي فات بكدا، ناخد الـ two functions، نحط التنتين على بعض و ناخد ال limit و نحسب ال limit هذه أحيانا يمكن تيجي تعمل هميجة وتاخد limit لاجيها صعبة فلما تلاجيها صعبة، نضطر ندخل دالة وسيطية ما بين الاتنين", "tokens": [2304, 49975, 8717, 1211, 7435, 10721, 20193, 14851, 9778, 3215, 10943, 29538, 2423, 39184, 7942, 4724, 5016, 1211, 9673, 3794, 16373, 1211, 9673, 46456, 46538, 3660, 22807, 5296, 1863, 39648, 5551, 3555, 28259, 12399, 9673, 25720, 13672, 1829, 6156, 9307, 4724, 4117, 28259, 12399, 8717, 47283, 3215, 2423, 39184, 732, 6828, 12399, 8717, 5016, 9566, 16712, 29399, 9957, 15844, 45030, 11242, 4032, 8717, 47283, 3215, 2423, 4948, 4032, 8717, 5016, 35457, 2423, 4948, 29538, 5551, 5016, 1829, 7649, 995, 7251, 43020, 6055, 1829, 7435, 1829, 6055, 25957, 1211, 8032, 2304, 1829, 7435, 3660, 34683, 47283, 3215, 4948, 5296, 26108, 1829, 11296, 20328, 3615, 49401, 6156, 1211, 15042, 6055, 15040, 7435, 1829, 11296, 20328, 3615, 49401, 12399, 8717, 11242, 9566, 2288, 8717, 3215, 9778, 1211, 11778, 6027, 3660, 46952, 1829, 9566, 10632, 19446, 49374, 2423, 9307, 1863, 9957], "avg_logprob": -0.28487318883771484, "compression_ratio": 1.7756653992395437, "no_speech_prob": 0.0, "words": [{"start": 246.50000000000003, "end": 247.26000000000002, "word": "متى", "probability": 0.725341796875}, {"start": 247.26000000000002, "end": 248.02, "word": " نلجأ", "probability": 0.91845703125}, {"start": 248.02, "end": 249.06, "word": " لاستخدام", "probability": 0.9357421875}, {"start": 249.06, "end": 249.56, "word": " هذه", "probability": 0.86669921875}, {"start": 249.56, "end": 249.7, "word": " الـ", "probability": 0.5322265625}, {"start": 249.7, "end": 250.2, "word": " remark", "probability": 0.7529296875}, {"start": 250.2, "end": 250.7, "word": " بحل", "probability": 0.79443359375}, {"start": 250.7, "end": 251.5, "word": " المسائل", "probability": 0.9219970703125}, {"start": 251.5, "end": 253.76, "word": " المختلفة؟", "probability": 0.845849609375}, {"start": 253.76, "end": 253.98, "word": " لنقول", "probability": 0.5194498697916666}, {"start": 253.98, "end": 254.52, "word": " أبدا،", "probability": 0.6912841796875}, {"start": 254.52, "end": 254.76, "word": " المرة", "probability": 0.60577392578125}, {"start": 254.76, "end": 254.92, "word": " اللي", "probability": 0.841064453125}, {"start": 254.92, "end": 255.12, "word": " فات", "probability": 0.718505859375}, {"start": 255.12, "end": 255.54, "word": " بكدا،", "probability": 0.3973388671875}, {"start": 255.54, "end": 255.84, "word": " ناخد", "probability": 0.908203125}, {"start": 255.84, "end": 255.94, "word": " الـ", "probability": 0.4927978515625}, {"start": 255.94, "end": 256.04, "word": " two", "probability": 0.7734375}, {"start": 256.04, "end": 256.86, "word": " functions،", "probability": 0.6029052734375}, {"start": 256.86, "end": 257.16, "word": " نحط", "probability": 0.6259765625}, {"start": 257.16, "end": 257.64, "word": " التنتين", "probability": 0.6567789713541666}, {"start": 257.64, "end": 257.84, "word": " على", "probability": 0.7099609375}, {"start": 257.84, "end": 258.22, "word": " بعض", "probability": 0.984130859375}, {"start": 258.22, "end": 258.32, "word": " و", "probability": 0.62548828125}, {"start": 258.32, "end": 258.7, "word": " ناخد", "probability": 0.8572591145833334}, {"start": 258.7, "end": 258.8, "word": " ال", "probability": 0.666015625}, {"start": 258.8, "end": 259.0, "word": " limit", "probability": 0.5537109375}, {"start": 259.0, "end": 259.16, "word": " و", "probability": 0.88623046875}, {"start": 259.16, "end": 259.52, "word": " نحسب", "probability": 0.96435546875}, {"start": 259.52, "end": 259.68, "word": " ال", "probability": 0.7783203125}, {"start": 259.68, "end": 259.9, "word": " limit", "probability": 0.923828125}, {"start": 259.9, "end": 260.26, "word": " هذه", "probability": 0.7646484375}, {"start": 260.26, "end": 261.42, "word": " أحيانا", "probability": 0.9162109375}, {"start": 261.42, "end": 261.66, "word": " يمكن", "probability": 0.8828125}, {"start": 261.66, "end": 262.02, "word": " تيجي", "probability": 0.8331298828125}, {"start": 262.02, "end": 262.42, "word": " تعمل", "probability": 0.8671875}, {"start": 262.42, "end": 262.78, "word": " هميجة", "probability": 0.613671875}, {"start": 262.78, "end": 263.1, "word": " وتاخد", "probability": 0.8069661458333334}, {"start": 263.1, "end": 263.3, "word": " limit", "probability": 0.767578125}, {"start": 263.3, "end": 263.88, "word": " لاجيها", "probability": 0.73541259765625}, {"start": 263.88, "end": 264.6, "word": " صعبة", "probability": 0.98779296875}, {"start": 264.6, "end": 265.64, "word": " فلما", "probability": 0.7345377604166666}, {"start": 265.64, "end": 266.22, "word": " تلاجيها", "probability": 0.8736328125}, {"start": 266.22, "end": 266.82, "word": " صعبة،", "probability": 0.968505859375}, {"start": 266.82, "end": 267.4, "word": " نضطر", "probability": 0.83013916015625}, {"start": 267.4, "end": 268.48, "word": " ندخل", "probability": 0.866943359375}, {"start": 268.48, "end": 269.1, "word": " دالة", "probability": 0.98388671875}, {"start": 269.1, "end": 270.02, "word": " وسيطية", "probability": 0.98095703125}, {"start": 270.02, "end": 270.22, "word": " ما", "probability": 0.91650390625}, {"start": 270.22, "end": 270.46, "word": " بين", "probability": 0.9912109375}, {"start": 270.46, "end": 271.12, "word": " الاتنين", "probability": 0.7564697265625}], "temperature": 1.0}, {"id": 14, "seek": 30056, "start": 271.74, "end": 300.56, "text": "الذلة بندخلها، بنجيبها من مين؟ من شكل الدليتين اللي موجودين، مش حيالها يعني لا تجيب ولا تحطق وخلاص نحطها، لأ بدنا نحاول نستنتجها من شكل الدليتين الأخرين نعطي مثال توضيحي على ذلك يبقى بنجي ناخد example بيقول المثال show that", "tokens": [6027, 8848, 37977, 44945, 3215, 9778, 1211, 11296, 12399, 44945, 7435, 1829, 3555, 11296, 9154, 3714, 9957, 22807, 9154, 13412, 28820, 32748, 20292, 2655, 9957, 13672, 1829, 3714, 29245, 23328, 9957, 12399, 37893, 11331, 1829, 6027, 11296, 37495, 22653, 20193, 6055, 7435, 1829, 3555, 49429, 6055, 5016, 9566, 4587, 4032, 9778, 1211, 33546, 8717, 5016, 9566, 11296, 12399, 5296, 10721, 47525, 8315, 8717, 5016, 995, 12610, 8717, 14851, 29399, 7435, 11296, 9154, 13412, 28820, 32748, 20292, 2655, 9957, 16247, 34740, 9957, 8717, 3615, 9566, 1829, 50113, 6027, 33427, 11242, 1829, 5016, 1829, 15844, 29910, 23275, 7251, 3555, 4587, 7578, 44945, 7435, 1829, 8717, 47283, 3215, 1365, 4724, 1829, 39648, 9673, 12984, 6027, 855, 300], "avg_logprob": -0.2505434678948444, "compression_ratio": 1.798165137614679, "no_speech_prob": 0.0, "words": [{"start": 271.74, "end": 272.38, "word": "الذلة", "probability": 0.6226399739583334}, {"start": 272.38, "end": 273.3, "word": " بندخلها،", "probability": 0.6875406901041666}, {"start": 273.3, "end": 273.88, "word": " بنجيبها", "probability": 0.9650390625}, {"start": 273.88, "end": 274.08, "word": " من", "probability": 0.927734375}, {"start": 274.08, "end": 274.46, "word": " مين؟", "probability": 0.78662109375}, {"start": 274.46, "end": 274.64, "word": " من", "probability": 0.9697265625}, {"start": 274.64, "end": 275.18, "word": " شكل", "probability": 0.9677734375}, {"start": 275.18, "end": 275.96, "word": " الدليتين", "probability": 0.817626953125}, {"start": 275.96, "end": 276.16, "word": " اللي", "probability": 0.8564453125}, {"start": 276.16, "end": 276.78, "word": " موجودين،", "probability": 0.82841796875}, {"start": 276.78, "end": 276.96, "word": " مش", "probability": 0.94482421875}, {"start": 276.96, "end": 277.62, "word": " حيالها", "probability": 0.8140869140625}, {"start": 277.62, "end": 278.78, "word": " يعني", "probability": 0.6962890625}, {"start": 278.78, "end": 278.92, "word": " لا", "probability": 0.2108154296875}, {"start": 278.92, "end": 279.2, "word": " تجيب", "probability": 0.677734375}, {"start": 279.2, "end": 279.4, "word": " ولا", "probability": 0.306640625}, {"start": 279.4, "end": 280.2, "word": " تحطق", "probability": 0.7178955078125}, {"start": 280.2, "end": 280.58, "word": " وخلاص", "probability": 0.9068603515625}, {"start": 280.58, "end": 281.2, "word": " نحطها،", "probability": 0.67041015625}, {"start": 281.2, "end": 281.34, "word": " لأ", "probability": 0.6666259765625}, {"start": 281.34, "end": 282.54, "word": " بدنا", "probability": 0.58807373046875}, {"start": 282.54, "end": 282.96, "word": " نحاول", "probability": 0.9732666015625}, {"start": 282.96, "end": 284.62, "word": " نستنتجها", "probability": 0.90439453125}, {"start": 284.62, "end": 284.8, "word": " من", "probability": 0.97265625}, {"start": 284.8, "end": 285.22, "word": " شكل", "probability": 0.96240234375}, {"start": 285.22, "end": 286.18, "word": " الدليتين", "probability": 0.80364990234375}, {"start": 286.18, "end": 287.86, "word": " الأخرين", "probability": 0.9837239583333334}, {"start": 287.86, "end": 288.7, "word": " نعطي", "probability": 0.93603515625}, {"start": 288.7, "end": 289.3, "word": " مثال", "probability": 0.991943359375}, {"start": 289.3, "end": 290.22, "word": " توضيحي", "probability": 0.97412109375}, {"start": 290.22, "end": 290.5, "word": " على", "probability": 0.919921875}, {"start": 290.5, "end": 291.08, "word": " ذلك", "probability": 0.994140625}, {"start": 291.08, "end": 291.8, "word": " يبقى", "probability": 0.844482421875}, {"start": 291.8, "end": 292.14, "word": " بنجي", "probability": 0.6796875}, {"start": 292.14, "end": 292.56, "word": " ناخد", "probability": 0.96435546875}, {"start": 292.56, "end": 293.28, "word": " example", "probability": 0.84619140625}, {"start": 293.28, "end": 299.2, "word": " بيقول", "probability": 0.8401692708333334}, {"start": 299.2, "end": 299.78, "word": " المثال", "probability": 0.85595703125}, {"start": 299.78, "end": 300.12, "word": " show", "probability": 0.76806640625}, {"start": 300.12, "end": 300.56, "word": " that", "probability": 0.9033203125}], "temperature": 1.0}, {"id": 15, "seek": 32016, "start": 301.72, "end": 320.16, "text": "show that بيلي ان الجذر التربية إلى x تربية زائد خمسة and اتنين جذر ال x ناقص واحد لكل تربية اقرأ", "tokens": [34436, 300, 4724, 1829, 20292, 16472, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 2031, 6055, 25513, 10632, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 293, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 2423, 2031, 8717, 995, 4587, 9381, 36764, 24401, 5296, 28820, 6055, 25513, 10632, 1975, 4587, 2288, 10721], "avg_logprob": -0.21296874701976776, "compression_ratio": 1.3529411764705883, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 301.72, "end": 302.22, "word": "show", "probability": 0.62646484375}, {"start": 302.22, "end": 304.24, "word": " that", "probability": 0.708984375}, {"start": 304.24, "end": 305.42, "word": " بيلي", "probability": 0.6040445963541666}, {"start": 305.42, "end": 306.9, "word": " ان", "probability": 0.63037109375}, {"start": 306.9, "end": 307.5, "word": " الجذر", "probability": 0.7906901041666666}, {"start": 307.5, "end": 308.24, "word": " التربية", "probability": 0.8124186197916666}, {"start": 308.24, "end": 308.54, "word": " إلى", "probability": 0.57275390625}, {"start": 308.54, "end": 308.9, "word": " x", "probability": 0.50439453125}, {"start": 308.9, "end": 309.62, "word": " تربية", "probability": 0.9560546875}, {"start": 309.62, "end": 310.52, "word": " زائد", "probability": 0.8600260416666666}, {"start": 310.52, "end": 311.7, "word": " خمسة", "probability": 0.939453125}, {"start": 311.7, "end": 312.46, "word": " and", "probability": 0.85107421875}, {"start": 312.46, "end": 314.26, "word": " اتنين", "probability": 0.9208984375}, {"start": 314.26, "end": 314.9, "word": " جذر", "probability": 0.97021484375}, {"start": 314.9, "end": 315.16, "word": " ال", "probability": 0.95849609375}, {"start": 315.16, "end": 315.62, "word": " x", "probability": 0.41650390625}, {"start": 315.62, "end": 316.54, "word": " ناقص", "probability": 0.980224609375}, {"start": 316.54, "end": 317.08, "word": " واحد", "probability": 0.993408203125}, {"start": 317.08, "end": 317.72, "word": " لكل", "probability": 0.975830078125}, {"start": 317.72, "end": 318.62, "word": " تربية", "probability": 0.9684244791666666}, {"start": 318.62, "end": 320.16, "word": " اقرأ", "probability": 0.6949462890625}], "temperature": 1.0}, {"id": 16, "seek": 34454, "start": 321.9, "end": 344.54, "text": "at the same rate as x tends to n ماتيني دالتين و قال بيبيني ان الدالتين هدول grow at the same rate حسب المفهوم اللي احنا عارفينه قبل ذلك ممكن نقسم اتنين على بعض واخد ال limit لما ال x بده تروح لما لنهاية", "tokens": [267, 264, 912, 3314, 382, 2031, 12258, 281, 297, 3714, 9307, 9957, 1829, 11778, 6027, 2655, 9957, 4032, 50239, 4724, 1829, 3555, 9957, 1829, 16472, 32748, 6027, 2655, 9957, 8032, 3215, 12610, 1852, 412, 264, 912, 3314, 11331, 35457, 9673, 5172, 3224, 20498, 13672, 1829, 1975, 5016, 8315, 6225, 9640, 5172, 9957, 3224, 12174, 36150, 29910, 23275, 3714, 43020, 8717, 4587, 38251, 1975, 2655, 1863, 9957, 15844, 45030, 11242, 4032, 47283, 3215, 2423, 4948, 5296, 15042, 2423, 2031, 47525, 3224, 6055, 32887, 5016, 5296, 15042, 5296, 1863, 11296, 10632], "avg_logprob": -0.2508680436346266, "compression_ratio": 1.6288659793814433, "no_speech_prob": 0.0, "words": [{"start": 321.9, "end": 322.64, "word": "at", "probability": 0.23583984375}, {"start": 322.64, "end": 323.38, "word": " the", "probability": 0.927734375}, {"start": 323.38, "end": 325.0, "word": " same", "probability": 0.9228515625}, {"start": 325.0, "end": 326.66, "word": " rate", "probability": 0.96630859375}, {"start": 326.66, "end": 328.46, "word": " as", "probability": 0.90185546875}, {"start": 328.46, "end": 329.4, "word": " x", "probability": 0.6796875}, {"start": 329.4, "end": 329.98, "word": " tends", "probability": 0.859375}, {"start": 329.98, "end": 330.24, "word": " to", "probability": 0.98388671875}, {"start": 330.24, "end": 330.38, "word": " n", "probability": 0.77099609375}, {"start": 330.38, "end": 331.12, "word": " ماتيني", "probability": 0.487701416015625}, {"start": 331.12, "end": 331.82, "word": " دالتين", "probability": 0.879638671875}, {"start": 331.82, "end": 331.96, "word": " و", "probability": 0.6484375}, {"start": 331.96, "end": 332.18, "word": " قال", "probability": 0.4384765625}, {"start": 332.18, "end": 332.8, "word": " بيبيني", "probability": 0.664990234375}, {"start": 332.8, "end": 333.0, "word": " ان", "probability": 0.56103515625}, {"start": 333.0, "end": 333.78, "word": " الدالتين", "probability": 0.906982421875}, {"start": 333.78, "end": 334.18, "word": " هدول", "probability": 0.8406575520833334}, {"start": 334.18, "end": 334.5, "word": " grow", "probability": 0.83740234375}, {"start": 334.5, "end": 334.84, "word": " at", "probability": 0.73876953125}, {"start": 334.84, "end": 335.04, "word": " the", "probability": 0.94140625}, {"start": 335.04, "end": 335.38, "word": " same", "probability": 0.919921875}, {"start": 335.38, "end": 335.74, "word": " rate", "probability": 0.9765625}, {"start": 335.74, "end": 336.68, "word": " حسب", "probability": 0.945556640625}, {"start": 336.68, "end": 337.34, "word": " المفهوم", "probability": 0.988525390625}, {"start": 337.34, "end": 337.62, "word": " اللي", "probability": 0.920166015625}, {"start": 337.62, "end": 337.86, "word": " احنا", "probability": 0.9295247395833334}, {"start": 337.86, "end": 338.72, "word": " عارفينه", "probability": 0.98583984375}, {"start": 338.72, "end": 339.22, "word": " قبل", "probability": 0.91943359375}, {"start": 339.22, "end": 339.72, "word": " ذلك", "probability": 0.994873046875}, {"start": 339.72, "end": 340.44, "word": " ممكن", "probability": 0.970703125}, {"start": 340.44, "end": 340.84, "word": " نقسم", "probability": 0.7443033854166666}, {"start": 340.84, "end": 341.2, "word": " اتنين", "probability": 0.95263671875}, {"start": 341.2, "end": 341.34, "word": " على", "probability": 0.49658203125}, {"start": 341.34, "end": 341.64, "word": " بعض", "probability": 0.9853515625}, {"start": 341.64, "end": 342.02, "word": " واخد", "probability": 0.7364095052083334}, {"start": 342.02, "end": 342.12, "word": " ال", "probability": 0.6552734375}, {"start": 342.12, "end": 342.4, "word": " limit", "probability": 0.91943359375}, {"start": 342.4, "end": 342.68, "word": " لما", "probability": 0.8916015625}, {"start": 342.68, "end": 342.82, "word": " ال", "probability": 0.77783203125}, {"start": 342.82, "end": 342.98, "word": " x", "probability": 0.54833984375}, {"start": 342.98, "end": 343.22, "word": " بده", "probability": 0.659912109375}, {"start": 343.22, "end": 343.54, "word": " تروح", "probability": 0.94140625}, {"start": 343.54, "end": 343.92, "word": " لما", "probability": 0.5770263671875}, {"start": 343.92, "end": 344.54, "word": " لنهاية", "probability": 0.79931640625}], "temperature": 1.0}, {"id": 17, "seek": 36522, "start": 344.72, "end": 365.22, "text": "ويمكن يطلع الأمر في نوع من الصعوبة لذلك بنحاول ندخل دالة في المصم بين الدالتين هذول زي ما كانت جي في المص جاية بين من مين بين ال F وH كيف باجي بقول مين اللي أكبر لما ال X بتروح للملن يعني ال X سبيع و الله خمسة", "tokens": [2407, 32640, 19452, 7251, 9566, 1211, 3615, 16247, 29973, 8978, 8717, 45367, 9154, 31767, 3615, 37746, 3660, 5296, 8848, 23275, 44945, 5016, 995, 12610, 8717, 3215, 9778, 1211, 11778, 6027, 3660, 8978, 9673, 9381, 2304, 49374, 32748, 6027, 2655, 9957, 8032, 8848, 12610, 30767, 1829, 19446, 25961, 2655, 10874, 1829, 8978, 9673, 9381, 10874, 995, 10632, 49374, 9154, 3714, 9957, 49374, 2423, 479, 4032, 39, 9122, 33911, 4724, 26108, 1829, 4724, 39648, 3714, 9957, 13672, 1829, 5551, 4117, 26890, 5296, 15042, 2423, 1783, 39894, 32887, 5016, 5296, 19528, 1211, 1863, 37495, 22653, 2423, 1783, 8608, 21292, 3615, 4032, 21984, 16490, 2304, 3794, 3660], "avg_logprob": -0.22686298420796028, "compression_ratio": 1.8258706467661692, "no_speech_prob": 0.0, "words": [{"start": 344.72, "end": 345.42, "word": "ويمكن", "probability": 0.7771809895833334}, {"start": 345.42, "end": 345.82, "word": " يطلع", "probability": 0.8896484375}, {"start": 345.82, "end": 346.2, "word": " الأمر", "probability": 0.8603515625}, {"start": 346.2, "end": 346.42, "word": " في", "probability": 0.9609375}, {"start": 346.42, "end": 346.74, "word": " نوع", "probability": 0.94091796875}, {"start": 346.74, "end": 346.96, "word": " من", "probability": 0.9521484375}, {"start": 346.96, "end": 348.14, "word": " الصعوبة", "probability": 0.9708251953125}, {"start": 348.14, "end": 348.88, "word": " لذلك", "probability": 0.8634440104166666}, {"start": 348.88, "end": 350.08, "word": " بنحاول", "probability": 0.78533935546875}, {"start": 350.08, "end": 350.88, "word": " ندخل", "probability": 0.867919921875}, {"start": 350.88, "end": 351.92, "word": " دالة", "probability": 0.9713541666666666}, {"start": 351.92, "end": 352.08, "word": " في", "probability": 0.8583984375}, {"start": 352.08, "end": 352.64, "word": " المصم", "probability": 0.656982421875}, {"start": 352.64, "end": 352.98, "word": " بين", "probability": 0.8974609375}, {"start": 352.98, "end": 353.74, "word": " الدالتين", "probability": 0.936767578125}, {"start": 353.74, "end": 354.22, "word": " هذول", "probability": 0.7687174479166666}, {"start": 354.22, "end": 354.9, "word": " زي", "probability": 0.90380859375}, {"start": 354.9, "end": 355.06, "word": " ما", "probability": 0.90771484375}, {"start": 355.06, "end": 355.56, "word": " كانت", "probability": 0.6558837890625}, {"start": 355.56, "end": 355.76, "word": " جي", "probability": 0.586181640625}, {"start": 355.76, "end": 355.86, "word": " في", "probability": 0.841796875}, {"start": 355.86, "end": 356.24, "word": " المص", "probability": 0.982177734375}, {"start": 356.24, "end": 356.66, "word": " جاية", "probability": 0.8522135416666666}, {"start": 356.66, "end": 356.84, "word": " بين", "probability": 0.445556640625}, {"start": 356.84, "end": 357.02, "word": " من", "probability": 0.69384765625}, {"start": 357.02, "end": 357.46, "word": " مين", "probability": 0.750732421875}, {"start": 357.46, "end": 357.84, "word": " بين", "probability": 0.41455078125}, {"start": 357.84, "end": 358.06, "word": " ال", "probability": 0.90576171875}, {"start": 358.06, "end": 358.42, "word": " F", "probability": 0.63525390625}, {"start": 358.42, "end": 359.14, "word": " وH", "probability": 0.6239013671875}, {"start": 359.14, "end": 359.64, "word": " كيف", "probability": 0.826171875}, {"start": 359.64, "end": 360.74, "word": " باجي", "probability": 0.6689453125}, {"start": 360.74, "end": 361.1, "word": " بقول", "probability": 0.96142578125}, {"start": 361.1, "end": 361.44, "word": " مين", "probability": 0.932861328125}, {"start": 361.44, "end": 361.62, "word": " اللي", "probability": 0.85986328125}, {"start": 361.62, "end": 362.06, "word": " أكبر", "probability": 0.9391276041666666}, {"start": 362.06, "end": 362.34, "word": " لما", "probability": 0.86376953125}, {"start": 362.34, "end": 362.46, "word": " ال", "probability": 0.94189453125}, {"start": 362.46, "end": 362.64, "word": " X", "probability": 0.87890625}, {"start": 362.64, "end": 363.02, "word": " بتروح", "probability": 0.9410807291666666}, {"start": 363.02, "end": 363.56, "word": " للملن", "probability": 0.65716552734375}, {"start": 363.56, "end": 363.7, "word": " يعني", "probability": 0.57177734375}, {"start": 363.7, "end": 363.82, "word": " ال", "probability": 0.8916015625}, {"start": 363.82, "end": 364.06, "word": " X", "probability": 0.97998046875}, {"start": 364.06, "end": 364.42, "word": " سبيع", "probability": 0.826171875}, {"start": 364.42, "end": 364.52, "word": " و", "probability": 0.403564453125}, {"start": 364.52, "end": 364.62, "word": " الله", "probability": 0.76953125}, {"start": 364.62, "end": 365.22, "word": " خمسة", "probability": 0.969970703125}], "temperature": 1.0}, {"id": 18, "seek": 39345, "start": 366.69, "end": 393.45, "text": "الـ X أربعة يبقى الخمسة هذه مع السلامة وما بيظل إيهاش الذي يتحكم في سلوك هذه الدلة هو الـ X أربعة بس تحت الجذب يعني باكمة تطلع X يبقى هذه ممكن أخد X جريبة جدا على هذه الدلة نجي للدلة التانية هذه لو ربعتها بيصير مربعة الكمية الأولى أربعة X مظبوط؟", "tokens": [6027, 39184, 1783, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 33962, 2304, 3794, 3660, 29538, 20449, 21136, 37440, 3660, 4032, 15042, 4724, 1829, 19913, 1211, 11933, 1829, 3224, 33599, 43527, 7251, 2655, 5016, 24793, 8978, 8608, 1211, 2407, 4117, 29538, 32748, 37977, 31439, 2423, 39184, 1783, 5551, 25513, 27884, 4724, 3794, 6055, 33753, 25724, 8848, 3555, 37495, 22653, 4724, 995, 24793, 3660, 6055, 9566, 1211, 3615, 1783, 7251, 3555, 4587, 7578, 29538, 3714, 43020, 5551, 9778, 3215, 1783, 10874, 16572, 49401, 10874, 28259, 15844, 29538, 32748, 37977, 8717, 7435, 1829, 24976, 3215, 37977, 16712, 7649, 10632, 29538, 45164, 12602, 3555, 34268, 11296, 4724, 1829, 9381, 13546, 3714, 25513, 27884, 33251, 2304, 10632, 16247, 12610, 7578, 5551, 25513, 27884, 1783, 3714, 19913, 3555, 2407, 9566, 22807], "avg_logprob": -0.25520834421354627, "compression_ratio": 1.9772727272727273, "no_speech_prob": 0.0, "words": [{"start": 366.69, "end": 366.97, "word": "الـ", "probability": 0.3126220703125}, {"start": 366.97, "end": 367.11, "word": " X", "probability": 0.6240234375}, {"start": 367.11, "end": 367.57, "word": " أربعة", "probability": 0.6460774739583334}, {"start": 367.57, "end": 368.29, "word": " يبقى", "probability": 0.8431396484375}, {"start": 368.29, "end": 368.87, "word": " الخمسة", "probability": 0.7884521484375}, {"start": 368.87, "end": 369.03, "word": " هذه", "probability": 0.49755859375}, {"start": 369.03, "end": 369.25, "word": " مع", "probability": 0.91943359375}, {"start": 369.25, "end": 369.89, "word": " السلامة", "probability": 0.9052734375}, {"start": 369.89, "end": 369.99, "word": " وما", "probability": 0.31011962890625}, {"start": 369.99, "end": 370.19, "word": " بيظل", "probability": 0.58551025390625}, {"start": 370.19, "end": 370.65, "word": " إيهاش", "probability": 0.574310302734375}, {"start": 370.65, "end": 371.47, "word": " الذي", "probability": 0.55029296875}, {"start": 371.47, "end": 372.47, "word": " يتحكم", "probability": 0.991943359375}, {"start": 372.47, "end": 372.67, "word": " في", "probability": 0.9560546875}, {"start": 372.67, "end": 373.23, "word": " سلوك", "probability": 0.9659423828125}, {"start": 373.23, "end": 373.59, "word": " هذه", "probability": 0.9453125}, {"start": 373.59, "end": 373.95, "word": " الدلة", "probability": 0.773681640625}, {"start": 373.95, "end": 374.23, "word": " هو", "probability": 0.90283203125}, {"start": 374.23, "end": 374.51, "word": " الـ", "probability": 0.5386962890625}, {"start": 374.51, "end": 374.71, "word": " X", "probability": 0.904296875}, {"start": 374.71, "end": 375.03, "word": " أربعة", "probability": 0.85400390625}, {"start": 375.03, "end": 375.45, "word": " بس", "probability": 0.84423828125}, {"start": 375.45, "end": 375.89, "word": " تحت", "probability": 0.994140625}, {"start": 375.89, "end": 376.71, "word": " الجذب", "probability": 0.696533203125}, {"start": 376.71, "end": 377.25, "word": " يعني", "probability": 0.87353515625}, {"start": 377.25, "end": 377.71, "word": " باكمة", "probability": 0.46234130859375}, {"start": 377.71, "end": 378.29, "word": " تطلع", "probability": 0.958740234375}, {"start": 378.29, "end": 379.11, "word": " X", "probability": 0.91943359375}, {"start": 379.11, "end": 380.01, "word": " يبقى", "probability": 0.96875}, {"start": 380.01, "end": 380.39, "word": " هذه", "probability": 0.89208984375}, {"start": 380.39, "end": 381.15, "word": " ممكن", "probability": 0.98388671875}, {"start": 381.15, "end": 381.81, "word": " أخد", "probability": 0.7146809895833334}, {"start": 381.81, "end": 382.21, "word": " X", "probability": 0.99365234375}, {"start": 382.21, "end": 383.01, "word": " جريبة", "probability": 0.8611653645833334}, {"start": 383.01, "end": 383.45, "word": " جدا", "probability": 0.98193359375}, {"start": 383.45, "end": 383.71, "word": " على", "probability": 0.841796875}, {"start": 383.71, "end": 384.11, "word": " هذه", "probability": 0.98291015625}, {"start": 384.11, "end": 384.61, "word": " الدلة", "probability": 0.99072265625}, {"start": 384.61, "end": 385.51, "word": " نجي", "probability": 0.8199869791666666}, {"start": 385.51, "end": 386.09, "word": " للدلة", "probability": 0.9248046875}, {"start": 386.09, "end": 386.55, "word": " التانية", "probability": 0.9669596354166666}, {"start": 386.55, "end": 386.89, "word": " هذه", "probability": 0.7890625}, {"start": 386.89, "end": 387.17, "word": " لو", "probability": 0.98193359375}, {"start": 387.17, "end": 388.41, "word": " ربعتها", "probability": 0.975830078125}, {"start": 388.41, "end": 389.21, "word": " بيصير", "probability": 0.908203125}, {"start": 389.21, "end": 389.79, "word": " مربعة", "probability": 0.7506510416666666}, {"start": 389.79, "end": 390.39, "word": " الكمية", "probability": 0.8282877604166666}, {"start": 390.39, "end": 391.01, "word": " الأولى", "probability": 0.994140625}, {"start": 391.01, "end": 391.89, "word": " أربعة", "probability": 0.8228352864583334}, {"start": 391.89, "end": 392.45, "word": " X", "probability": 0.98486328125}, {"start": 392.45, "end": 393.45, "word": " مظبوط؟", "probability": 0.884765625}], "temperature": 1.0}, {"id": 19, "seek": 41794, "start": 393.88, "end": 417.94, "text": "زائد ضعف حاصل ضرب الكميتين زائد أربعة نقص أربعة جذر ال X زائد واحد يبقى الكبرى فيهم مين؟ اللي هي ال X والله جذر ال X ال X هي الأكبر يبقى X من هنا كمان ممكن أخدها قريبة جدا أو هي اللي تتحكم في سلوك الدلل لأنها هذي", "tokens": [11622, 16373, 3215, 48812, 3615, 5172, 11331, 33546, 1211, 48812, 25513, 33251, 2304, 36081, 9957, 30767, 16373, 3215, 5551, 25513, 27884, 8717, 4587, 9381, 5551, 25513, 27884, 10874, 8848, 2288, 2423, 1783, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 33251, 26890, 7578, 8978, 16095, 3714, 9957, 22807, 13672, 1829, 39896, 2423, 1783, 16070, 43761, 10874, 8848, 2288, 2423, 1783, 2423, 1783, 39896, 16247, 4117, 26890, 7251, 3555, 4587, 7578, 1783, 9154, 34105, 9122, 2304, 7649, 3714, 43020, 5551, 9778, 3215, 11296, 12174, 16572, 49401, 10874, 28259, 34051, 39896, 13672, 1829, 6055, 2655, 5016, 24793, 8978, 8608, 1211, 2407, 4117, 32748, 1211, 1211, 5296, 33456, 11296, 8032, 8848, 1829], "avg_logprob": -0.17215653716980875, "compression_ratio": 1.9578947368421054, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 393.88, "end": 394.62, "word": "زائد", "probability": 0.69970703125}, {"start": 394.62, "end": 395.14, "word": " ضعف", "probability": 0.9728190104166666}, {"start": 395.14, "end": 395.72, "word": " حاصل", "probability": 0.8294270833333334}, {"start": 395.72, "end": 396.02, "word": " ضرب", "probability": 0.993408203125}, {"start": 396.02, "end": 397.0, "word": " الكميتين", "probability": 0.9022216796875}, {"start": 397.0, "end": 397.68, "word": " زائد", "probability": 0.8714192708333334}, {"start": 397.68, "end": 398.48, "word": " أربعة", "probability": 0.8031412760416666}, {"start": 398.48, "end": 399.5, "word": " نقص", "probability": 0.6689453125}, {"start": 399.5, "end": 400.66, "word": " أربعة", "probability": 0.8121744791666666}, {"start": 400.66, "end": 401.24, "word": " جذر", "probability": 0.9513346354166666}, {"start": 401.24, "end": 401.44, "word": " ال", "probability": 0.7890625}, {"start": 401.44, "end": 401.8, "word": " X", "probability": 0.771484375}, {"start": 401.8, "end": 402.64, "word": " زائد", "probability": 0.9480794270833334}, {"start": 402.64, "end": 403.02, "word": " واحد", "probability": 0.973876953125}, {"start": 403.02, "end": 403.84, "word": " يبقى", "probability": 0.944091796875}, {"start": 403.84, "end": 404.5, "word": " الكبرى", "probability": 0.8191731770833334}, {"start": 404.5, "end": 404.98, "word": " فيهم", "probability": 0.947021484375}, {"start": 404.98, "end": 405.54, "word": " مين؟", "probability": 0.7783203125}, {"start": 405.54, "end": 406.24, "word": " اللي", "probability": 0.747802734375}, {"start": 406.24, "end": 406.36, "word": " هي", "probability": 0.6513671875}, {"start": 406.36, "end": 406.52, "word": " ال", "probability": 0.869140625}, {"start": 406.52, "end": 406.84, "word": " X", "probability": 0.98779296875}, {"start": 406.84, "end": 407.4, "word": " والله", "probability": 0.6556396484375}, {"start": 407.4, "end": 408.16, "word": " جذر", "probability": 0.96435546875}, {"start": 408.16, "end": 408.44, "word": " ال", "probability": 0.94970703125}, {"start": 408.44, "end": 408.94, "word": " X", "probability": 0.9931640625}, {"start": 408.94, "end": 409.44, "word": " ال", "probability": 0.33251953125}, {"start": 409.44, "end": 409.68, "word": " X", "probability": 0.9873046875}, {"start": 409.68, "end": 409.84, "word": " هي", "probability": 0.8720703125}, {"start": 409.84, "end": 410.4, "word": " الأكبر", "probability": 0.9886067708333334}, {"start": 410.4, "end": 411.26, "word": " يبقى", "probability": 0.947998046875}, {"start": 411.26, "end": 411.66, "word": " X", "probability": 0.98291015625}, {"start": 411.66, "end": 411.94, "word": " من", "probability": 0.97119140625}, {"start": 411.94, "end": 412.24, "word": " هنا", "probability": 0.9970703125}, {"start": 412.24, "end": 412.9, "word": " كمان", "probability": 0.88720703125}, {"start": 412.9, "end": 413.3, "word": " ممكن", "probability": 0.98291015625}, {"start": 413.3, "end": 413.8, "word": " أخدها", "probability": 0.9039306640625}, {"start": 413.8, "end": 414.38, "word": " قريبة", "probability": 0.9615885416666666}, {"start": 414.38, "end": 414.86, "word": " جدا", "probability": 0.985595703125}, {"start": 414.86, "end": 415.12, "word": " أو", "probability": 0.828125}, {"start": 415.12, "end": 415.32, "word": " هي", "probability": 0.7587890625}, {"start": 415.32, "end": 415.46, "word": " اللي", "probability": 0.917724609375}, {"start": 415.46, "end": 416.14, "word": " تتحكم", "probability": 0.9462890625}, {"start": 416.14, "end": 416.32, "word": " في", "probability": 0.59228515625}, {"start": 416.32, "end": 416.72, "word": " سلوك", "probability": 0.9700927734375}, {"start": 416.72, "end": 417.22, "word": " الدلل", "probability": 0.7674153645833334}, {"start": 417.22, "end": 417.68, "word": " لأنها", "probability": 0.6795247395833334}, {"start": 417.68, "end": 417.94, "word": " هذي", "probability": 0.536376953125}], "temperature": 1.0}, {"id": 20, "seek": 44078, "start": 418.48, "end": 440.78, "text": "إذا صارت X هذه كإنها وسيط مشترك بين الـ function الأولى و الماية و الـ function التانية، إذا بنقدر نقارن هذه مع الـ X و نقارن الثانية هذه مع الـ X، انطلاقة الأولى has the same rate, grow at the same rate و التانية grow at the same rate as X tends to infinity زي ما جل في الجيوز النظري", "tokens": [28814, 15730, 20328, 9640, 2655, 1783, 29538, 9122, 28814, 1863, 11296, 46952, 1829, 9566, 37893, 2655, 31747, 49374, 2423, 39184, 2445, 16247, 12610, 7578, 4032, 9673, 995, 10632, 4032, 2423, 39184, 2445, 16712, 7649, 10632, 12399, 11933, 15730, 44945, 28543, 2288, 8717, 4587, 9640, 1863, 29538, 20449, 2423, 39184, 1783, 4032, 8717, 4587, 9640, 1863, 6024, 104, 7649, 10632, 29538, 20449, 2423, 39184, 1783, 12399, 16472, 9566, 15040, 28671, 16247, 12610, 7578, 575, 264, 912, 3314, 11, 1852, 412, 264, 912, 3314, 4032, 16712, 7649, 10632, 1852, 412, 264, 912, 3314, 382, 1783, 12258, 281, 13202, 30767, 1829, 19446, 10874, 1211, 8978, 25724, 1829, 2407, 11622, 28239, 19913, 16572], "avg_logprob": -0.3133522868156433, "compression_ratio": 1.8076923076923077, "no_speech_prob": 0.0, "words": [{"start": 418.48, "end": 418.84, "word": "إذا", "probability": 0.51251220703125}, {"start": 418.84, "end": 419.38, "word": " صارت", "probability": 0.6361083984375}, {"start": 419.38, "end": 419.74, "word": " X", "probability": 0.64111328125}, {"start": 419.74, "end": 420.14, "word": " هذه", "probability": 0.33447265625}, {"start": 420.14, "end": 420.74, "word": " كإنها", "probability": 0.8173828125}, {"start": 420.74, "end": 421.4, "word": " وسيط", "probability": 0.9518229166666666}, {"start": 421.4, "end": 422.14, "word": " مشترك", "probability": 0.96044921875}, {"start": 422.14, "end": 422.44, "word": " بين", "probability": 0.953125}, {"start": 422.44, "end": 422.86, "word": " الـ", "probability": 0.6588134765625}, {"start": 422.86, "end": 423.0, "word": " function", "probability": 0.447021484375}, {"start": 423.0, "end": 423.54, "word": " الأولى", "probability": 0.8811848958333334}, {"start": 423.54, "end": 423.62, "word": " و", "probability": 0.853515625}, {"start": 423.62, "end": 423.96, "word": " الماية", "probability": 0.3225911458333333}, {"start": 423.96, "end": 424.52, "word": " و", "probability": 0.576171875}, {"start": 424.52, "end": 424.74, "word": " الـ", "probability": 0.794189453125}, {"start": 424.74, "end": 425.06, "word": " function", "probability": 0.92822265625}, {"start": 425.06, "end": 425.62, "word": " التانية،", "probability": 0.6796875}, {"start": 425.62, "end": 426.0, "word": " إذا", "probability": 0.90673828125}, {"start": 426.0, "end": 427.18, "word": " بنقدر", "probability": 0.8688151041666666}, {"start": 427.18, "end": 428.02, "word": " نقارن", "probability": 0.98291015625}, {"start": 428.02, "end": 428.5, "word": " هذه", "probability": 0.8017578125}, {"start": 428.5, "end": 428.86, "word": " مع", "probability": 0.98583984375}, {"start": 428.86, "end": 429.2, "word": " الـ", "probability": 0.684814453125}, {"start": 429.2, "end": 429.52, "word": " X", "probability": 0.900390625}, {"start": 429.52, "end": 430.08, "word": " و", "probability": 0.8896484375}, {"start": 430.08, "end": 430.72, "word": " نقارن", "probability": 0.95556640625}, {"start": 430.72, "end": 431.34, "word": " الثانية", "probability": 0.858154296875}, {"start": 431.34, "end": 431.64, "word": " هذه", "probability": 0.85595703125}, {"start": 431.64, "end": 431.86, "word": " مع", "probability": 0.990234375}, {"start": 431.86, "end": 432.04, "word": " الـ", "probability": 0.9228515625}, {"start": 432.04, "end": 432.4, "word": " X،", "probability": 0.8115234375}, {"start": 432.4, "end": 432.94, "word": " انطلاقة", "probability": 0.54052734375}, {"start": 432.94, "end": 433.34, "word": " الأولى", "probability": 0.9290364583333334}, {"start": 433.34, "end": 433.54, "word": " has", "probability": 0.1524658203125}, {"start": 433.54, "end": 433.72, "word": " the", "probability": 0.93310546875}, {"start": 433.72, "end": 434.06, "word": " same", "probability": 0.91650390625}, {"start": 434.06, "end": 434.32, "word": " rate,", "probability": 0.97998046875}, {"start": 434.42, "end": 434.6, "word": " grow", "probability": 0.38037109375}, {"start": 434.6, "end": 434.78, "word": " at", "probability": 0.849609375}, {"start": 434.78, "end": 434.94, "word": " the", "probability": 0.93701171875}, {"start": 434.94, "end": 435.2, "word": " same", "probability": 0.91455078125}, {"start": 435.2, "end": 435.5, "word": " rate", "probability": 0.97314453125}, {"start": 435.5, "end": 436.1, "word": " و", "probability": 0.392333984375}, {"start": 436.1, "end": 436.54, "word": " التانية", "probability": 0.9187825520833334}, {"start": 436.54, "end": 436.76, "word": " grow", "probability": 0.90380859375}, {"start": 436.76, "end": 436.98, "word": " at", "probability": 0.95458984375}, {"start": 436.98, "end": 437.18, "word": " the", "probability": 0.9326171875}, {"start": 437.18, "end": 437.38, "word": " same", "probability": 0.908203125}, {"start": 437.38, "end": 437.66, "word": " rate", "probability": 0.9716796875}, {"start": 437.66, "end": 438.0, "word": " as", "probability": 0.9033203125}, {"start": 438.0, "end": 438.22, "word": " X", "probability": 0.96630859375}, {"start": 438.22, "end": 438.5, "word": " tends", "probability": 0.677734375}, {"start": 438.5, "end": 438.64, "word": " to", "probability": 0.9423828125}, {"start": 438.64, "end": 439.06, "word": " infinity", "probability": 0.84130859375}, {"start": 439.06, "end": 439.36, "word": " زي", "probability": 0.879638671875}, {"start": 439.36, "end": 439.46, "word": " ما", "probability": 0.9755859375}, {"start": 439.46, "end": 439.66, "word": " جل", "probability": 0.61474609375}, {"start": 439.66, "end": 439.8, "word": " في", "probability": 0.6416015625}, {"start": 439.8, "end": 440.14, "word": " الجيوز", "probability": 0.6417236328125}, {"start": 440.14, "end": 440.78, "word": " النظري", "probability": 0.9147135416666666}], "temperature": 1.0}, {"id": 21, "seek": 46452, "start": 441.06, "end": 464.52, "text": "أذا بصير الدالة الأولى والأخيرة grow at the same rate as x tends to infinity الكلام اللي بنحكيه هنا نظري بنروح نحطه على أرض الواقع إذا لو أنا روحت أخدت limit الجذري التربية إلى x تربية زائد خمسة على x لما ال x tends to infinity", "tokens": [10721, 15730, 4724, 9381, 13546, 32748, 6027, 3660, 16247, 12610, 7578, 16070, 10721, 9778, 48923, 1852, 412, 264, 912, 3314, 382, 2031, 12258, 281, 13202, 2423, 28820, 10943, 13672, 1829, 44945, 5016, 4117, 1829, 3224, 34105, 8717, 19913, 16572, 44945, 32887, 5016, 8717, 5016, 9566, 3224, 15844, 5551, 43042, 2423, 14407, 4587, 3615, 11933, 15730, 45164, 41850, 12602, 2407, 33753, 5551, 9778, 3215, 2655, 4948, 25724, 8848, 16572, 16712, 25513, 10632, 30731, 2031, 6055, 25513, 10632, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 15844, 2031, 5296, 15042, 2423, 2031, 12258, 281, 13202], "avg_logprob": -0.19825268881295316, "compression_ratio": 1.625, "no_speech_prob": 0.0, "words": [{"start": 441.06, "end": 441.4, "word": "أذا", "probability": 0.373046875}, {"start": 441.4, "end": 441.94, "word": " بصير", "probability": 0.7560221354166666}, {"start": 441.94, "end": 442.7, "word": " الدالة", "probability": 0.84814453125}, {"start": 442.7, "end": 443.6, "word": " الأولى", "probability": 0.9791666666666666}, {"start": 443.6, "end": 444.88, "word": " والأخيرة", "probability": 0.74169921875}, {"start": 444.88, "end": 445.22, "word": " grow", "probability": 0.56787109375}, {"start": 445.22, "end": 445.54, "word": " at", "probability": 0.8291015625}, {"start": 445.54, "end": 445.74, "word": " the", "probability": 0.92626953125}, {"start": 445.74, "end": 446.06, "word": " same", "probability": 0.90771484375}, {"start": 446.06, "end": 446.44, "word": " rate", "probability": 0.96875}, {"start": 446.44, "end": 447.02, "word": " as", "probability": 0.9208984375}, {"start": 447.02, "end": 447.48, "word": " x", "probability": 0.615234375}, {"start": 447.48, "end": 448.1, "word": " tends", "probability": 0.787109375}, {"start": 448.1, "end": 448.38, "word": " to", "probability": 0.97021484375}, {"start": 448.38, "end": 448.92, "word": " infinity", "probability": 0.85791015625}, {"start": 448.92, "end": 450.06, "word": " الكلام", "probability": 0.8424479166666666}, {"start": 450.06, "end": 450.18, "word": " اللي", "probability": 0.8046875}, {"start": 450.18, "end": 450.7, "word": " بنحكيه", "probability": 0.9197265625}, {"start": 450.7, "end": 450.84, "word": " هنا", "probability": 0.63134765625}, {"start": 450.84, "end": 451.24, "word": " نظري", "probability": 0.80322265625}, {"start": 451.24, "end": 451.68, "word": " بنروح", "probability": 0.85302734375}, {"start": 451.68, "end": 452.26, "word": " نحطه", "probability": 0.83734130859375}, {"start": 452.26, "end": 452.52, "word": " على", "probability": 0.9013671875}, {"start": 452.52, "end": 452.84, "word": " أرض", "probability": 0.952392578125}, {"start": 452.84, "end": 453.58, "word": " الواقع", "probability": 0.9892578125}, {"start": 453.58, "end": 454.26, "word": " إذا", "probability": 0.746826171875}, {"start": 454.26, "end": 454.58, "word": " لو", "probability": 0.98974609375}, {"start": 454.58, "end": 454.94, "word": " أنا", "probability": 0.83642578125}, {"start": 454.94, "end": 455.36, "word": " روحت", "probability": 0.8089192708333334}, {"start": 455.36, "end": 456.14, "word": " أخدت", "probability": 0.9022216796875}, {"start": 456.14, "end": 456.78, "word": " limit", "probability": 0.9326171875}, {"start": 456.78, "end": 458.34, "word": " الجذري", "probability": 0.6312662760416666}, {"start": 458.34, "end": 458.98, "word": " التربية", "probability": 0.86474609375}, {"start": 458.98, "end": 459.22, "word": " إلى", "probability": 0.86279296875}, {"start": 459.22, "end": 459.52, "word": " x", "probability": 0.8603515625}, {"start": 459.52, "end": 460.04, "word": " تربية", "probability": 0.92138671875}, {"start": 460.04, "end": 460.7, "word": " زائد", "probability": 0.7892252604166666}, {"start": 460.7, "end": 461.46, "word": " خمسة", "probability": 0.9306640625}, {"start": 461.46, "end": 461.72, "word": " على", "probability": 0.767578125}, {"start": 461.72, "end": 462.18, "word": " x", "probability": 0.94677734375}, {"start": 462.18, "end": 462.92, "word": " لما", "probability": 0.895263671875}, {"start": 462.92, "end": 463.1, "word": " ال", "probability": 0.9072265625}, {"start": 463.1, "end": 463.36, "word": " x", "probability": 0.703125}, {"start": 463.36, "end": 463.7, "word": " tends", "probability": 0.85302734375}, {"start": 463.7, "end": 463.92, "word": " to", "probability": 0.97314453125}, {"start": 463.92, "end": 464.52, "word": " infinity", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 22, "seek": 48623, "start": 483.35, "end": 486.23, "text": "طبعا الجدر هذا للمقادرة كلها شبهها", "tokens": [9566, 3555, 3615, 995, 25724, 3215, 2288, 23758, 5296, 19528, 4587, 18513, 25720, 28242, 11296, 13412, 3555, 3224, 11296], "avg_logprob": -0.5371093928813935, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 483.34999999999997, "end": 484.21, "word": "طبعا", "probability": 0.7305145263671875}, {"start": 484.21, "end": 484.57, "word": " الجدر", "probability": 0.7232259114583334}, {"start": 484.57, "end": 484.79, "word": " هذا", "probability": 0.5263671875}, {"start": 484.79, "end": 485.37, "word": " للمقادرة", "probability": 0.6182861328125}, {"start": 485.37, "end": 485.77, "word": " كلها", "probability": 0.90966796875}, {"start": 485.77, "end": 486.23, "word": " شبهها", "probability": 0.65252685546875}], "temperature": 1.0}, {"id": 23, "seek": 50462, "start": 486.62, "end": 504.62, "text": "يبقى infinity على infinity يبقى يابلو بتال رول يابلو بتال رول يابلو بتال رول يابلو بتال رول يابلو بتال رول يابلو بتال رول", "tokens": [1829, 3555, 4587, 7578, 13202, 15844, 13202, 7251, 3555, 4587, 7578, 7251, 16758, 1211, 2407, 39894, 6027, 12602, 12610, 7251, 16758, 1211, 2407, 39894, 6027, 12602, 12610, 7251, 16758, 1211, 2407, 39894, 6027, 12602, 12610, 7251, 16758, 1211, 2407, 39894, 6027, 12602, 12610, 7251, 16758, 1211, 2407, 39894, 6027, 12602, 12610, 7251, 16758, 1211, 2407, 39894, 6027, 12602, 12610], "avg_logprob": -0.3177083189288775, "compression_ratio": 3.238095238095238, "no_speech_prob": 0.0, "words": [{"start": 486.62, "end": 487.18, "word": "يبقى", "probability": 0.636627197265625}, {"start": 487.18, "end": 487.64, "word": " infinity", "probability": 0.383544921875}, {"start": 487.64, "end": 487.92, "word": " على", "probability": 0.67041015625}, {"start": 487.92, "end": 488.44, "word": " infinity", "probability": 0.80712890625}, {"start": 488.44, "end": 488.84, "word": " يبقى", "probability": 0.9024658203125}, {"start": 488.84, "end": 489.38, "word": " يابلو", "probability": 0.482696533203125}, {"start": 489.38, "end": 489.88, "word": " بتال", "probability": 0.5986328125}, {"start": 489.88, "end": 490.3, "word": " رول", "probability": 0.892822265625}, {"start": 490.3, "end": 499.14, "word": " يابلو", "probability": 0.6151123046875}, {"start": 499.14, "end": 499.44, "word": " بتال", "probability": 0.874755859375}, {"start": 499.44, "end": 499.88, "word": " رول", "probability": 0.939208984375}, {"start": 499.88, "end": 499.88, "word": " يابلو", "probability": 0.78570556640625}, {"start": 499.88, "end": 499.88, "word": " بتال", "probability": 0.9912109375}, {"start": 499.88, "end": 500.28, "word": " رول", "probability": 0.984375}, {"start": 500.28, "end": 500.46, "word": " يابلو", "probability": 0.8480224609375}, {"start": 500.46, "end": 500.46, "word": " بتال", "probability": 0.993408203125}, {"start": 500.46, "end": 500.46, "word": " رول", "probability": 0.991455078125}, {"start": 500.46, "end": 501.74, "word": " يابلو", "probability": 0.90087890625}, {"start": 501.74, "end": 503.64, "word": " بتال", "probability": 0.992431640625}, {"start": 503.64, "end": 504.24, "word": " رول", "probability": 0.99169921875}, {"start": 504.24, "end": 504.42, "word": " يابلو", "probability": 0.9381103515625}, {"start": 504.42, "end": 504.56, "word": " بتال", "probability": 0.9912109375}, {"start": 504.56, "end": 504.62, "word": " رول", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 24, "seek": 53146, "start": 504.64, "end": 531.46, "text": "X تربية يبقى كأن المسألة أصبحت limit لما ال X tends to infinity للجدر التربيعي ل X تربية زائد خمسة كله على X تربية يعني limit لما ال X tends to infinity لمن؟ للجدر التربيعي لواحد زائد خمسة على X تربية طبعا هذا بزير و بظهر اندي كدهش واحد", "tokens": [55, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 9122, 33456, 9673, 3794, 10721, 37977, 5551, 9381, 3555, 33753, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 24976, 7435, 3215, 2288, 16712, 2288, 21292, 3615, 1829, 5296, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 28242, 3224, 15844, 1783, 6055, 25513, 10632, 37495, 22653, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 5296, 27842, 22807, 24976, 7435, 3215, 2288, 16712, 2288, 21292, 3615, 1829, 5296, 14407, 24401, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 15844, 1783, 6055, 25513, 10632, 23032, 3555, 3615, 995, 23758, 4724, 11622, 13546, 4032, 4724, 19913, 3224, 2288, 16472, 16254, 9122, 3215, 3224, 8592, 36764, 24401], "avg_logprob": -0.22953539401029063, "compression_ratio": 1.96875, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 504.64, "end": 505.02, "word": "X", "probability": 0.054473876953125}, {"start": 505.02, "end": 505.64, "word": " تربية", "probability": 0.7306315104166666}, {"start": 505.64, "end": 506.62, "word": " يبقى", "probability": 0.890625}, {"start": 506.62, "end": 507.1, "word": " كأن", "probability": 0.87548828125}, {"start": 507.1, "end": 507.86, "word": " المسألة", "probability": 0.955078125}, {"start": 507.86, "end": 508.66, "word": " أصبحت", "probability": 0.93408203125}, {"start": 508.66, "end": 509.24, "word": " limit", "probability": 0.88330078125}, {"start": 509.24, "end": 510.14, "word": " لما", "probability": 0.87109375}, {"start": 510.14, "end": 510.3, "word": " ال", "probability": 0.716796875}, {"start": 510.3, "end": 510.62, "word": " X", "probability": 0.76806640625}, {"start": 510.62, "end": 510.96, "word": " tends", "probability": 0.72314453125}, {"start": 510.96, "end": 511.2, "word": " to", "probability": 0.8984375}, {"start": 511.2, "end": 511.76, "word": " infinity", "probability": 0.84228515625}, {"start": 511.76, "end": 512.64, "word": " للجدر", "probability": 0.70501708984375}, {"start": 512.64, "end": 513.56, "word": " التربيعي", "probability": 0.7326171875}, {"start": 513.56, "end": 514.02, "word": " ل", "probability": 0.65625}, {"start": 514.02, "end": 514.38, "word": " X", "probability": 0.736328125}, {"start": 514.38, "end": 514.92, "word": " تربية", "probability": 0.9249674479166666}, {"start": 514.92, "end": 515.42, "word": " زائد", "probability": 0.8361002604166666}, {"start": 515.42, "end": 516.2, "word": " خمسة", "probability": 0.95654296875}, {"start": 516.2, "end": 516.66, "word": " كله", "probability": 0.82763671875}, {"start": 516.66, "end": 516.88, "word": " على", "probability": 0.85400390625}, {"start": 516.88, "end": 517.18, "word": " X", "probability": 0.98486328125}, {"start": 517.18, "end": 517.74, "word": " تربية", "probability": 0.9617513020833334}, {"start": 517.74, "end": 518.68, "word": " يعني", "probability": 0.828857421875}, {"start": 518.68, "end": 519.28, "word": " limit", "probability": 0.6015625}, {"start": 519.28, "end": 519.68, "word": " لما", "probability": 0.95703125}, {"start": 519.68, "end": 519.88, "word": " ال", "probability": 0.8046875}, {"start": 519.88, "end": 520.18, "word": " X", "probability": 0.986328125}, {"start": 520.18, "end": 520.5, "word": " tends", "probability": 0.81787109375}, {"start": 520.5, "end": 520.8, "word": " to", "probability": 0.96435546875}, {"start": 520.8, "end": 521.52, "word": " infinity", "probability": 0.88623046875}, {"start": 521.52, "end": 522.62, "word": " لمن؟", "probability": 0.6400553385416666}, {"start": 522.62, "end": 523.3, "word": " للجدر", "probability": 0.9117431640625}, {"start": 523.3, "end": 524.04, "word": " التربيعي", "probability": 0.89931640625}, {"start": 524.04, "end": 524.7, "word": " لواحد", "probability": 0.6692708333333334}, {"start": 524.7, "end": 525.3, "word": " زائد", "probability": 0.98388671875}, {"start": 525.3, "end": 526.5, "word": " خمسة", "probability": 0.994140625}, {"start": 526.5, "end": 527.04, "word": " على", "probability": 0.8427734375}, {"start": 527.04, "end": 527.44, "word": " X", "probability": 0.99267578125}, {"start": 527.44, "end": 527.88, "word": " تربية", "probability": 0.95849609375}, {"start": 527.88, "end": 528.76, "word": " طبعا", "probability": 0.9609375}, {"start": 528.76, "end": 529.06, "word": " هذا", "probability": 0.65673828125}, {"start": 529.06, "end": 529.44, "word": " بزير", "probability": 0.4662272135416667}, {"start": 529.44, "end": 529.54, "word": " و", "probability": 0.85986328125}, {"start": 529.54, "end": 529.82, "word": " بظهر", "probability": 0.8575439453125}, {"start": 529.82, "end": 530.1, "word": " اندي", "probability": 0.5072021484375}, {"start": 530.1, "end": 530.9, "word": " كدهش", "probability": 0.6346435546875}, {"start": 530.9, "end": 531.46, "word": " واحد", "probability": 0.794677734375}], "temperature": 1.0}, {"id": 25, "seek": 56130, "start": 531.95, "end": 561.31, "text": "الواحد زي ما انت شايف منه اكبر من ال zero اقل من main معناته ال two functions دول grow at the same rate يبقى هنا الgenre التربية الى x تربية زائد خمسة and ال x grow at the same rate as x tends to infinity", "tokens": [6027, 14407, 24401, 30767, 1829, 19446, 16472, 2655, 13412, 995, 33911, 9154, 3224, 1975, 4117, 26890, 9154, 2423, 4018, 1975, 4587, 1211, 9154, 2135, 20449, 8315, 47395, 2423, 732, 6828, 11778, 12610, 1852, 412, 264, 912, 3314, 7251, 3555, 4587, 7578, 34105, 2423, 1766, 265, 16712, 25513, 10632, 2423, 7578, 2031, 6055, 25513, 10632, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 293, 2423, 2031, 1852, 412, 264, 912, 3314, 382, 2031, 12258, 281, 13202], "avg_logprob": -0.22583332737286885, "compression_ratio": 1.5080213903743316, "no_speech_prob": 0.0, "words": [{"start": 531.95, "end": 532.57, "word": "الواحد", "probability": 0.7976888020833334}, {"start": 532.57, "end": 532.83, "word": " زي", "probability": 0.88671875}, {"start": 532.83, "end": 532.93, "word": " ما", "probability": 0.953125}, {"start": 532.93, "end": 533.11, "word": " انت", "probability": 0.83447265625}, {"start": 533.11, "end": 533.49, "word": " شايف", "probability": 0.9744466145833334}, {"start": 533.49, "end": 533.95, "word": " منه", "probability": 0.78564453125}, {"start": 533.95, "end": 534.77, "word": " اكبر", "probability": 0.797119140625}, {"start": 534.77, "end": 535.07, "word": " من", "probability": 0.994140625}, {"start": 535.07, "end": 535.29, "word": " ال", "probability": 0.8828125}, {"start": 535.29, "end": 535.57, "word": " zero", "probability": 0.2261962890625}, {"start": 535.57, "end": 536.23, "word": " اقل", "probability": 0.8966471354166666}, {"start": 536.23, "end": 536.39, "word": " من", "probability": 0.9833984375}, {"start": 536.39, "end": 536.83, "word": " main", "probability": 0.1583251953125}, {"start": 536.83, "end": 537.99, "word": " معناته", "probability": 0.7850748697916666}, {"start": 537.99, "end": 538.15, "word": " ال", "probability": 0.83935546875}, {"start": 538.15, "end": 538.31, "word": " two", "probability": 0.8154296875}, {"start": 538.31, "end": 538.87, "word": " functions", "probability": 0.83837890625}, {"start": 538.87, "end": 539.21, "word": " دول", "probability": 0.88818359375}, {"start": 539.21, "end": 539.59, "word": " grow", "probability": 0.84814453125}, {"start": 539.59, "end": 540.29, "word": " at", "probability": 0.94970703125}, {"start": 540.29, "end": 540.59, "word": " the", "probability": 0.935546875}, {"start": 540.59, "end": 541.19, "word": " same", "probability": 0.91064453125}, {"start": 541.19, "end": 541.61, "word": " rate", "probability": 0.97412109375}, {"start": 541.61, "end": 542.81, "word": " يبقى", "probability": 0.97021484375}, {"start": 542.81, "end": 543.23, "word": " هنا", "probability": 0.96826171875}, {"start": 543.23, "end": 544.89, "word": " الgenre", "probability": 0.4927164713541667}, {"start": 544.89, "end": 545.49, "word": " التربية", "probability": 0.81005859375}, {"start": 545.49, "end": 545.75, "word": " الى", "probability": 0.506103515625}, {"start": 545.75, "end": 545.95, "word": " x", "probability": 0.64990234375}, {"start": 545.95, "end": 546.53, "word": " تربية", "probability": 0.8673502604166666}, {"start": 546.53, "end": 547.11, "word": " زائد", "probability": 0.8623046875}, {"start": 547.11, "end": 547.97, "word": " خمسة", "probability": 0.951904296875}, {"start": 547.97, "end": 548.43, "word": " and", "probability": 0.90087890625}, {"start": 548.43, "end": 548.75, "word": " ال", "probability": 0.8974609375}, {"start": 548.75, "end": 549.21, "word": " x", "probability": 0.6435546875}, {"start": 549.21, "end": 550.19, "word": " grow", "probability": 0.88037109375}, {"start": 550.19, "end": 551.73, "word": " at", "probability": 0.9638671875}, {"start": 551.73, "end": 553.65, "word": " the", "probability": 0.921875}, {"start": 553.65, "end": 555.61, "word": " same", "probability": 0.9140625}, {"start": 555.61, "end": 557.09, "word": " rate", "probability": 0.97216796875}, {"start": 557.09, "end": 558.65, "word": " as", "probability": 0.96142578125}, {"start": 558.65, "end": 559.79, "word": " x", "probability": 0.9833984375}, {"start": 559.79, "end": 560.45, "word": " tends", "probability": 0.7734375}, {"start": 560.45, "end": 560.71, "word": " to", "probability": 0.9521484375}, {"start": 560.71, "end": 561.31, "word": " infinity", "probability": 0.8701171875}], "temperature": 1.0}, {"id": 26, "seek": 58213, "start": 562.71, "end": 582.13, "text": "بالمثل بروح أخد limit لما ال X تنزل إلى infinity لل X على الدالة التانية نين جذر ال X ناقص واحد لكل تربيع التعويض المباشر بيجيب لي infinity على infinity يبقى بدي أستخدم", "tokens": [3555, 45340, 12984, 1211, 4724, 32887, 5016, 5551, 9778, 3215, 4948, 5296, 15042, 2423, 1783, 6055, 1863, 11622, 1211, 30731, 13202, 24976, 1783, 15844, 32748, 6027, 3660, 16712, 7649, 10632, 8717, 9957, 10874, 8848, 2288, 2423, 1783, 8717, 995, 4587, 9381, 36764, 24401, 5296, 28820, 6055, 2288, 21292, 3615, 16712, 3615, 45865, 11242, 9673, 3555, 33599, 2288, 4724, 1829, 7435, 1829, 3555, 32239, 13202, 15844, 13202, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 14851, 9778, 40448], "avg_logprob": -0.24046265691905827, "compression_ratio": 1.5813953488372092, "no_speech_prob": 0.0, "words": [{"start": 562.71, "end": 563.49, "word": "بالمثل", "probability": 0.89453125}, {"start": 563.49, "end": 564.33, "word": " بروح", "probability": 0.5031331380208334}, {"start": 564.33, "end": 564.73, "word": " أخد", "probability": 0.72412109375}, {"start": 564.73, "end": 565.23, "word": " limit", "probability": 0.89208984375}, {"start": 565.23, "end": 566.05, "word": " لما", "probability": 0.873291015625}, {"start": 566.05, "end": 566.23, "word": " ال", "probability": 0.86474609375}, {"start": 566.23, "end": 566.45, "word": " X", "probability": 0.57568359375}, {"start": 566.45, "end": 566.93, "word": " تنزل", "probability": 0.911376953125}, {"start": 566.93, "end": 567.11, "word": " إلى", "probability": 0.27392578125}, {"start": 567.11, "end": 567.65, "word": " infinity", "probability": 0.49609375}, {"start": 567.65, "end": 568.57, "word": " لل", "probability": 0.59912109375}, {"start": 568.57, "end": 569.03, "word": " X", "probability": 0.90380859375}, {"start": 569.03, "end": 569.69, "word": " على", "probability": 0.89892578125}, {"start": 569.69, "end": 570.51, "word": " الدالة", "probability": 0.9013671875}, {"start": 570.51, "end": 571.09, "word": " التانية", "probability": 0.95751953125}, {"start": 571.09, "end": 571.97, "word": " نين", "probability": 0.4915771484375}, {"start": 571.97, "end": 572.47, "word": " جذر", "probability": 0.89990234375}, {"start": 572.47, "end": 572.65, "word": " ال", "probability": 0.83251953125}, {"start": 572.65, "end": 573.05, "word": " X", "probability": 0.97216796875}, {"start": 573.05, "end": 573.77, "word": " ناقص", "probability": 0.83984375}, {"start": 573.77, "end": 574.27, "word": " واحد", "probability": 0.984619140625}, {"start": 574.27, "end": 574.79, "word": " لكل", "probability": 0.968994140625}, {"start": 574.79, "end": 575.53, "word": " تربيع", "probability": 0.860107421875}, {"start": 575.53, "end": 576.85, "word": " التعويض", "probability": 0.8980712890625}, {"start": 576.85, "end": 577.53, "word": " المباشر", "probability": 0.84100341796875}, {"start": 577.53, "end": 577.93, "word": " بيجيب", "probability": 0.9642578125}, {"start": 577.93, "end": 578.07, "word": " لي", "probability": 0.300537109375}, {"start": 578.07, "end": 578.75, "word": " infinity", "probability": 0.8056640625}, {"start": 578.75, "end": 579.31, "word": " على", "probability": 0.82861328125}, {"start": 579.31, "end": 580.43, "word": " infinity", "probability": 0.84375}, {"start": 580.43, "end": 581.03, "word": " يبقى", "probability": 0.94482421875}, {"start": 581.03, "end": 581.33, "word": " بدي", "probability": 0.7047119140625}, {"start": 581.33, "end": 582.13, "word": " أستخدم", "probability": 0.869140625}], "temperature": 1.0}, {"id": 27, "seek": 61213, "start": 582.45, "end": 612.13, "text": "قاعدة lobital يبقى لو جيت اخدت استخدام قاعدة lobital بصير عندي ال limit لما ال X tends to infinity مشتقة دالة البص على مشتقة دالة المقام اتنين في الجوس زي ما هو مرفوع لل أس واحد في مشتقة مداخل القوس مشتقة مداخل القوس يبقى اتنين مالهاش دعوة", "tokens": [4587, 995, 22488, 3660, 14366, 1686, 7251, 3555, 4587, 7578, 45164, 10874, 36081, 1975, 9778, 3215, 2655, 44713, 9778, 3215, 10943, 12174, 995, 22488, 3660, 14366, 1686, 4724, 9381, 13546, 18871, 16254, 2423, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 37893, 2655, 28671, 11778, 6027, 3660, 29739, 9381, 15844, 37893, 2655, 28671, 11778, 6027, 3660, 9673, 4587, 10943, 1975, 2655, 1863, 9957, 8978, 25724, 41779, 30767, 1829, 19446, 31439, 3714, 28480, 45367, 24976, 5551, 3794, 36764, 24401, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 25062, 41779, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 25062, 41779, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 3714, 6027, 3224, 33599, 11778, 3615, 2407, 3660], "avg_logprob": -0.1583059234054465, "compression_ratio": 1.8294930875576036, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 582.45, "end": 583.37, "word": "قاعدة", "probability": 0.8939208984375}, {"start": 583.37, "end": 584.05, "word": " lobital", "probability": 0.50927734375}, {"start": 584.05, "end": 584.81, "word": " يبقى", "probability": 0.8468017578125}, {"start": 584.81, "end": 585.05, "word": " لو", "probability": 0.77783203125}, {"start": 585.05, "end": 585.31, "word": " جيت", "probability": 0.8818359375}, {"start": 585.31, "end": 585.79, "word": " اخدت", "probability": 0.7774658203125}, {"start": 585.79, "end": 586.47, "word": " استخدام", "probability": 0.9805908203125}, {"start": 586.47, "end": 587.17, "word": " قاعدة", "probability": 0.98828125}, {"start": 587.17, "end": 587.75, "word": " lobital", "probability": 0.85400390625}, {"start": 587.75, "end": 588.29, "word": " بصير", "probability": 0.8098958333333334}, {"start": 588.29, "end": 588.77, "word": " عندي", "probability": 0.77734375}, {"start": 588.77, "end": 588.91, "word": " ال", "probability": 0.5712890625}, {"start": 588.91, "end": 589.37, "word": " limit", "probability": 0.89306640625}, {"start": 589.37, "end": 590.19, "word": " لما", "probability": 0.9248046875}, {"start": 590.19, "end": 590.41, "word": " ال", "probability": 0.9013671875}, {"start": 590.41, "end": 590.69, "word": " X", "probability": 0.55322265625}, {"start": 590.69, "end": 591.15, "word": " tends", "probability": 0.73583984375}, {"start": 591.15, "end": 591.43, "word": " to", "probability": 0.94140625}, {"start": 591.43, "end": 592.17, "word": " infinity", "probability": 0.82421875}, {"start": 592.17, "end": 593.57, "word": " مشتقة", "probability": 0.7307942708333334}, {"start": 593.57, "end": 594.11, "word": " دالة", "probability": 0.95654296875}, {"start": 594.11, "end": 594.61, "word": " البص", "probability": 0.6318359375}, {"start": 594.61, "end": 594.95, "word": " على", "probability": 0.4931640625}, {"start": 594.95, "end": 595.73, "word": " مشتقة", "probability": 0.96142578125}, {"start": 595.73, "end": 596.27, "word": " دالة", "probability": 0.98876953125}, {"start": 596.27, "end": 596.99, "word": " المقام", "probability": 0.96630859375}, {"start": 596.99, "end": 597.99, "word": " اتنين", "probability": 0.916748046875}, {"start": 597.99, "end": 598.69, "word": " في", "probability": 0.9072265625}, {"start": 598.69, "end": 599.35, "word": " الجوس", "probability": 0.5936279296875}, {"start": 599.35, "end": 600.03, "word": " زي", "probability": 0.984619140625}, {"start": 600.03, "end": 600.35, "word": " ما", "probability": 0.921875}, {"start": 600.35, "end": 600.77, "word": " هو", "probability": 0.93603515625}, {"start": 600.77, "end": 601.93, "word": " مرفوع", "probability": 0.9208984375}, {"start": 601.93, "end": 602.17, "word": " لل", "probability": 0.89404296875}, {"start": 602.17, "end": 602.47, "word": " أس", "probability": 0.5325927734375}, {"start": 602.47, "end": 602.95, "word": " واحد", "probability": 0.963623046875}, {"start": 602.95, "end": 603.19, "word": " في", "probability": 0.9541015625}, {"start": 603.19, "end": 604.05, "word": " مشتقة", "probability": 0.9812825520833334}, {"start": 604.05, "end": 604.87, "word": " مداخل", "probability": 0.903564453125}, {"start": 604.87, "end": 605.45, "word": " القوس", "probability": 0.94482421875}, {"start": 605.45, "end": 607.53, "word": " مشتقة", "probability": 0.9651692708333334}, {"start": 607.53, "end": 608.45, "word": " مداخل", "probability": 0.923095703125}, {"start": 608.45, "end": 609.15, "word": " القوس", "probability": 0.986572265625}, {"start": 609.15, "end": 610.13, "word": " يبقى", "probability": 0.9876708984375}, {"start": 610.13, "end": 610.97, "word": " اتنين", "probability": 0.9844970703125}, {"start": 610.97, "end": 611.57, "word": " مالهاش", "probability": 0.8397216796875}, {"start": 611.57, "end": 612.13, "word": " دعوة", "probability": 0.9716796875}], "temperature": 1.0}, {"id": 28, "seek": 63378, "start": 612.44, "end": 633.78, "text": "والله لان نحط فوق هذه مشتاقة يبقى احنا مشتاقة كل المنظرات والمقام على حده يبقى هذا اشتقاه في المقام فتبقى في المقام وهذا واحد على اتنين جدر ال X نختصر الاختصارات اللي موجودة يبقى الاتنين هذه مع الاتنين هذه", "tokens": [2407, 6027, 43761, 5296, 7649, 8717, 5016, 9566, 6156, 30543, 29538, 37893, 2655, 995, 28671, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 37893, 2655, 995, 28671, 28242, 9673, 1863, 19913, 2288, 9307, 16070, 2304, 4587, 10943, 15844, 11331, 3215, 3224, 7251, 3555, 4587, 7578, 23758, 1975, 8592, 2655, 4587, 40294, 8978, 9673, 4587, 10943, 6156, 2655, 3555, 4587, 7578, 8978, 9673, 4587, 10943, 37037, 15730, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 10874, 3215, 2288, 2423, 1783, 8717, 46456, 9381, 2288, 2423, 47283, 2655, 9381, 9640, 9307, 13672, 1829, 3714, 29245, 23328, 3660, 7251, 3555, 4587, 7578, 2423, 9307, 1863, 9957, 29538, 20449, 2423, 9307, 1863, 9957, 29538], "avg_logprob": -0.20670870958118265, "compression_ratio": 2.12, "no_speech_prob": 0.0, "words": [{"start": 612.44, "end": 613.12, "word": "والله", "probability": 0.5034586588541666}, {"start": 613.12, "end": 613.32, "word": " لان", "probability": 0.354248046875}, {"start": 613.32, "end": 613.64, "word": " نحط", "probability": 0.6818033854166666}, {"start": 613.64, "end": 614.0, "word": " فوق", "probability": 0.9111328125}, {"start": 614.0, "end": 614.3, "word": " هذه", "probability": 0.51025390625}, {"start": 614.3, "end": 614.98, "word": " مشتاقة", "probability": 0.7650146484375}, {"start": 614.98, "end": 616.2, "word": " يبقى", "probability": 0.75543212890625}, {"start": 616.2, "end": 616.46, "word": " احنا", "probability": 0.94287109375}, {"start": 616.46, "end": 616.94, "word": " مشتاقة", "probability": 0.910400390625}, {"start": 616.94, "end": 617.5, "word": " كل", "probability": 0.9658203125}, {"start": 617.5, "end": 618.38, "word": " المنظرات", "probability": 0.690478515625}, {"start": 618.38, "end": 619.14, "word": " والمقام", "probability": 0.8240966796875}, {"start": 619.14, "end": 619.42, "word": " على", "probability": 0.517578125}, {"start": 619.42, "end": 620.04, "word": " حده", "probability": 0.8465169270833334}, {"start": 620.04, "end": 620.68, "word": " يبقى", "probability": 0.9483642578125}, {"start": 620.68, "end": 620.92, "word": " هذا", "probability": 0.66943359375}, {"start": 620.92, "end": 621.5, "word": " اشتقاه", "probability": 0.81845703125}, {"start": 621.5, "end": 621.62, "word": " في", "probability": 0.71142578125}, {"start": 621.62, "end": 622.1, "word": " المقام", "probability": 0.9957682291666666}, {"start": 622.1, "end": 622.86, "word": " فتبقى", "probability": 0.98251953125}, {"start": 622.86, "end": 623.06, "word": " في", "probability": 0.95166015625}, {"start": 623.06, "end": 623.96, "word": " المقام", "probability": 0.9915364583333334}, {"start": 623.96, "end": 624.76, "word": " وهذا", "probability": 0.766845703125}, {"start": 624.76, "end": 625.4, "word": " واحد", "probability": 0.872314453125}, {"start": 625.4, "end": 625.78, "word": " على", "probability": 0.7490234375}, {"start": 625.78, "end": 626.78, "word": " اتنين", "probability": 0.9483642578125}, {"start": 626.78, "end": 627.54, "word": " جدر", "probability": 0.7506510416666666}, {"start": 627.54, "end": 627.82, "word": " ال", "probability": 0.81103515625}, {"start": 627.82, "end": 628.26, "word": " X", "probability": 0.63623046875}, {"start": 628.26, "end": 629.7, "word": " نختصر", "probability": 0.946044921875}, {"start": 629.7, "end": 630.52, "word": " الاختصارات", "probability": 0.901611328125}, {"start": 630.52, "end": 630.68, "word": " اللي", "probability": 0.870361328125}, {"start": 630.68, "end": 631.18, "word": " موجودة", "probability": 0.99072265625}, {"start": 631.18, "end": 631.44, "word": " يبقى", "probability": 0.9512939453125}, {"start": 631.44, "end": 632.04, "word": " الاتنين", "probability": 0.859375}, {"start": 632.04, "end": 632.36, "word": " هذه", "probability": 0.728515625}, {"start": 632.36, "end": 632.64, "word": " مع", "probability": 0.99072265625}, {"start": 632.64, "end": 633.38, "word": " الاتنين", "probability": 0.95849609375}, {"start": 633.38, "end": 633.78, "word": " هذه", "probability": 0.86328125}], "temperature": 1.0}, {"id": 29, "seek": 64601, "start": 634.11, "end": 646.01, "text": "يبقى آلة المسألة إلى الشكل التالي جذر ال X هتنقلب وتطلع فوق وهنا أربع جذر ال X ناقص اتنين", "tokens": [1829, 3555, 4587, 7578, 19753, 37977, 9673, 3794, 10721, 37977, 30731, 25124, 28820, 16712, 6027, 1829, 10874, 8848, 2288, 2423, 1783, 8032, 2655, 1863, 4587, 46152, 34683, 9566, 1211, 3615, 6156, 30543, 37037, 8315, 5551, 25513, 3615, 10874, 8848, 2288, 2423, 1783, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957], "avg_logprob": -0.2118566164783403, "compression_ratio": 1.4495412844036697, "no_speech_prob": 0.0, "words": [{"start": 634.11, "end": 634.91, "word": "يبقى", "probability": 0.8785400390625}, {"start": 634.91, "end": 635.37, "word": " آلة", "probability": 0.849853515625}, {"start": 635.37, "end": 636.23, "word": " المسألة", "probability": 0.964111328125}, {"start": 636.23, "end": 636.49, "word": " إلى", "probability": 0.1424560546875}, {"start": 636.49, "end": 637.25, "word": " الشكل", "probability": 0.8681640625}, {"start": 637.25, "end": 638.19, "word": " التالي", "probability": 0.9690755208333334}, {"start": 638.19, "end": 639.11, "word": " جذر", "probability": 0.8935546875}, {"start": 639.11, "end": 639.23, "word": " ال", "probability": 0.9189453125}, {"start": 639.23, "end": 639.43, "word": " X", "probability": 0.4384765625}, {"start": 639.43, "end": 640.07, "word": " هتنقلب", "probability": 0.793212890625}, {"start": 640.07, "end": 640.81, "word": " وتطلع", "probability": 0.82342529296875}, {"start": 640.81, "end": 641.31, "word": " فوق", "probability": 0.921875}, {"start": 641.31, "end": 642.25, "word": " وهنا", "probability": 0.72021484375}, {"start": 642.25, "end": 643.09, "word": " أربع", "probability": 0.66357421875}, {"start": 643.09, "end": 643.75, "word": " جذر", "probability": 0.9423828125}, {"start": 643.75, "end": 643.95, "word": " ال", "probability": 0.7958984375}, {"start": 643.95, "end": 644.37, "word": " X", "probability": 0.974609375}, {"start": 644.37, "end": 645.37, "word": " ناقص", "probability": 0.9713134765625}, {"start": 645.37, "end": 646.01, "word": " اتنين", "probability": 0.882568359375}], "temperature": 1.0}, {"id": 30, "seek": 66458, "start": 647.46, "end": 664.58, "text": "التعويض المباشر بتجيب انفينيتي على انفينيتي، يجب نشتق البصة على حده أو المقام على حده، يجب نقسم كل من البصة والمقال عالميا على جذر ال X اللي هي موجودة في المقام", "tokens": [6027, 2655, 3615, 45865, 11242, 9673, 3555, 33599, 2288, 39894, 7435, 1829, 3555, 16472, 5172, 9957, 1829, 31371, 15844, 16472, 5172, 9957, 1829, 31371, 12399, 7251, 7435, 3555, 8717, 8592, 2655, 4587, 29739, 9381, 3660, 15844, 11331, 3215, 3224, 34051, 9673, 4587, 10943, 15844, 11331, 3215, 3224, 12399, 7251, 7435, 3555, 8717, 4587, 38251, 28242, 9154, 29739, 9381, 3660, 16070, 2304, 4587, 6027, 6225, 45340, 25528, 15844, 10874, 8848, 2288, 2423, 1783, 13672, 1829, 39896, 3714, 29245, 23328, 3660, 8978, 9673, 4587, 10943], "avg_logprob": -0.26655506236212595, "compression_ratio": 1.9013157894736843, "no_speech_prob": 0.0, "words": [{"start": 647.46, "end": 647.94, "word": "التعويض", "probability": 0.808251953125}, {"start": 647.94, "end": 648.7, "word": " المباشر", "probability": 0.9931640625}, {"start": 648.7, "end": 650.76, "word": " بتجيب", "probability": 0.72833251953125}, {"start": 650.76, "end": 651.44, "word": " انفينيتي", "probability": 0.6739990234375}, {"start": 651.44, "end": 651.7, "word": " على", "probability": 0.83203125}, {"start": 651.7, "end": 653.02, "word": " انفينيتي،", "probability": 0.8468831380208334}, {"start": 653.02, "end": 653.34, "word": " يجب", "probability": 0.4432373046875}, {"start": 653.34, "end": 654.18, "word": " نشتق", "probability": 0.7869873046875}, {"start": 654.18, "end": 654.64, "word": " البصة", "probability": 0.6502278645833334}, {"start": 654.64, "end": 654.78, "word": " على", "probability": 0.82177734375}, {"start": 654.78, "end": 655.14, "word": " حده", "probability": 0.70703125}, {"start": 655.14, "end": 655.4, "word": " أو", "probability": 0.63134765625}, {"start": 655.4, "end": 656.0, "word": " المقام", "probability": 0.9861653645833334}, {"start": 656.0, "end": 656.2, "word": " على", "probability": 0.65869140625}, {"start": 656.2, "end": 656.56, "word": " حده،", "probability": 0.9625244140625}, {"start": 656.56, "end": 656.82, "word": " يجب", "probability": 0.9265950520833334}, {"start": 656.82, "end": 657.52, "word": " نقسم", "probability": 0.9754231770833334}, {"start": 657.52, "end": 657.86, "word": " كل", "probability": 0.95849609375}, {"start": 657.86, "end": 658.08, "word": " من", "probability": 0.260986328125}, {"start": 658.08, "end": 658.52, "word": " البصة", "probability": 0.96044921875}, {"start": 658.52, "end": 658.96, "word": " والمقال", "probability": 0.739013671875}, {"start": 658.96, "end": 659.56, "word": " عالميا", "probability": 0.8806966145833334}, {"start": 659.56, "end": 660.96, "word": " على", "probability": 0.7509765625}, {"start": 660.96, "end": 661.7, "word": " جذر", "probability": 0.9775390625}, {"start": 661.7, "end": 661.96, "word": " ال", "probability": 0.892578125}, {"start": 661.96, "end": 662.36, "word": " X", "probability": 0.57421875}, {"start": 662.36, "end": 662.6, "word": " اللي", "probability": 0.729736328125}, {"start": 662.6, "end": 662.78, "word": " هي", "probability": 0.52001953125}, {"start": 662.78, "end": 663.44, "word": " موجودة", "probability": 0.9586181640625}, {"start": 663.44, "end": 663.68, "word": " في", "probability": 0.9482421875}, {"start": 663.68, "end": 664.58, "word": " المقام", "probability": 0.9903971354166666}], "temperature": 1.0}, {"id": 31, "seek": 68365, "start": 664.87, "end": 683.65, "text": "يبقى x tends to infinity بيبقى الواحد على أربع ناقص اتنين على جذر ال x بالشكل اللي عندي هذا تمام هذا كله بقداش ب zero يبقى طالع الجواب ربع والربع محصور بين الصفر", "tokens": [1829, 3555, 4587, 7578, 2031, 12258, 281, 13202, 4724, 1829, 3555, 4587, 7578, 2423, 14407, 24401, 15844, 5551, 25513, 3615, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 15844, 10874, 8848, 2288, 2423, 2031, 20666, 8592, 28820, 13672, 1829, 18871, 16254, 23758, 46811, 10943, 23758, 28242, 3224, 4724, 28543, 33599, 4724, 4018, 7251, 3555, 4587, 7578, 23032, 6027, 3615, 25724, 14407, 3555, 12602, 3555, 3615, 16070, 25513, 3615, 3714, 5016, 9381, 13063, 49374, 31767, 5172, 2288], "avg_logprob": -0.22727272804681356, "compression_ratio": 1.5917159763313609, "no_speech_prob": 0.0, "words": [{"start": 664.87, "end": 665.59, "word": "يبقى", "probability": 0.807373046875}, {"start": 665.59, "end": 665.91, "word": " x", "probability": 0.71728515625}, {"start": 665.91, "end": 666.31, "word": " tends", "probability": 0.251953125}, {"start": 666.31, "end": 666.53, "word": " to", "probability": 0.72705078125}, {"start": 666.53, "end": 667.13, "word": " infinity", "probability": 0.9072265625}, {"start": 667.13, "end": 667.55, "word": " بيبقى", "probability": 0.892578125}, {"start": 667.55, "end": 668.21, "word": " الواحد", "probability": 0.73486328125}, {"start": 668.21, "end": 668.95, "word": " على", "probability": 0.82666015625}, {"start": 668.95, "end": 669.49, "word": " أربع", "probability": 0.7060546875}, {"start": 669.49, "end": 670.17, "word": " ناقص", "probability": 0.8780517578125}, {"start": 670.17, "end": 670.87, "word": " اتنين", "probability": 0.9488525390625}, {"start": 670.87, "end": 671.83, "word": " على", "probability": 0.91796875}, {"start": 671.83, "end": 672.73, "word": " جذر", "probability": 0.908203125}, {"start": 672.73, "end": 672.97, "word": " ال", "probability": 0.95849609375}, {"start": 672.97, "end": 673.31, "word": " x", "probability": 0.5625}, {"start": 673.31, "end": 673.91, "word": " بالشكل", "probability": 0.95068359375}, {"start": 673.91, "end": 674.01, "word": " اللي", "probability": 0.874755859375}, {"start": 674.01, "end": 674.29, "word": " عندي", "probability": 0.58837890625}, {"start": 674.29, "end": 674.59, "word": " هذا", "probability": 0.505859375}, {"start": 674.59, "end": 675.69, "word": " تمام", "probability": 0.710693359375}, {"start": 675.69, "end": 676.57, "word": " هذا", "probability": 0.52880859375}, {"start": 676.57, "end": 676.97, "word": " كله", "probability": 0.9755859375}, {"start": 676.97, "end": 677.75, "word": " بقداش", "probability": 0.84814453125}, {"start": 677.75, "end": 678.51, "word": " ب", "probability": 0.1153564453125}, {"start": 678.51, "end": 678.91, "word": " zero", "probability": 0.61376953125}, {"start": 678.91, "end": 679.45, "word": " يبقى", "probability": 0.9814453125}, {"start": 679.45, "end": 679.87, "word": " طالع", "probability": 0.8121744791666666}, {"start": 679.87, "end": 680.63, "word": " الجواب", "probability": 0.9765625}, {"start": 680.63, "end": 681.13, "word": " ربع", "probability": 0.9254557291666666}, {"start": 681.13, "end": 682.11, "word": " والربع", "probability": 0.8063151041666666}, {"start": 682.11, "end": 682.71, "word": " محصور", "probability": 0.951904296875}, {"start": 682.71, "end": 682.99, "word": " بين", "probability": 0.94140625}, {"start": 682.99, "end": 683.65, "word": " الصفر", "probability": 0.9578450520833334}], "temperature": 1.0}, {"id": 32, "seek": 71145, "start": 683.99, "end": 711.45, "text": "و ال infinity يبقى معنى هذا الكلام ان ال two functions هدول معلهم grow at the same rate يبقى باجي بقول له so ال x and ال اتنين جذر ال x ناقص الواحد لكل تربيع grow at the same rate as x tends to infinity", "tokens": [2407, 2423, 13202, 7251, 3555, 4587, 7578, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 16472, 2423, 732, 6828, 8032, 3215, 12610, 20449, 1211, 16095, 1852, 412, 264, 912, 3314, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 46740, 370, 2423, 2031, 293, 2423, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 2423, 2031, 8717, 995, 4587, 9381, 2423, 14407, 24401, 5296, 28820, 6055, 2288, 21292, 3615, 1852, 412, 264, 912, 3314, 382, 2031, 12258, 281, 13202], "avg_logprob": -0.2650162229290256, "compression_ratio": 1.5698324022346368, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 683.99, "end": 684.37, "word": "و", "probability": 0.29833984375}, {"start": 684.37, "end": 684.75, "word": " ال", "probability": 0.33056640625}, {"start": 684.75, "end": 685.59, "word": " infinity", "probability": 0.299560546875}, {"start": 685.59, "end": 686.39, "word": " يبقى", "probability": 0.84326171875}, {"start": 686.39, "end": 686.85, "word": " معنى", "probability": 0.8624674479166666}, {"start": 686.85, "end": 687.09, "word": " هذا", "probability": 0.9072265625}, {"start": 687.09, "end": 687.57, "word": " الكلام", "probability": 0.9425455729166666}, {"start": 687.57, "end": 687.75, "word": " ان", "probability": 0.494140625}, {"start": 687.75, "end": 687.97, "word": " ال", "probability": 0.82080078125}, {"start": 687.97, "end": 688.13, "word": " two", "probability": 0.69384765625}, {"start": 688.13, "end": 688.91, "word": " functions", "probability": 0.84033203125}, {"start": 688.91, "end": 689.29, "word": " هدول", "probability": 0.6381022135416666}, {"start": 689.29, "end": 689.87, "word": " معلهم", "probability": 0.6316731770833334}, {"start": 689.87, "end": 690.59, "word": " grow", "probability": 0.76611328125}, {"start": 690.59, "end": 691.03, "word": " at", "probability": 0.91357421875}, {"start": 691.03, "end": 691.23, "word": " the", "probability": 0.92578125}, {"start": 691.23, "end": 691.51, "word": " same", "probability": 0.908203125}, {"start": 691.51, "end": 691.87, "word": " rate", "probability": 0.97509765625}, {"start": 691.87, "end": 692.59, "word": " يبقى", "probability": 0.9659423828125}, {"start": 692.59, "end": 692.95, "word": " باجي", "probability": 0.6620279947916666}, {"start": 692.95, "end": 693.37, "word": " بقول", "probability": 0.907958984375}, {"start": 693.37, "end": 693.69, "word": " له", "probability": 0.5478515625}, {"start": 693.69, "end": 694.09, "word": " so", "probability": 0.37109375}, {"start": 694.09, "end": 694.73, "word": " ال", "probability": 0.87744140625}, {"start": 694.73, "end": 695.23, "word": " x", "probability": 0.48046875}, {"start": 695.23, "end": 696.39, "word": " and", "probability": 0.947265625}, {"start": 696.39, "end": 697.07, "word": " ال", "probability": 0.336181640625}, {"start": 697.07, "end": 697.81, "word": " اتنين", "probability": 0.84332275390625}, {"start": 697.81, "end": 698.39, "word": " جذر", "probability": 0.818359375}, {"start": 698.39, "end": 698.61, "word": " ال", "probability": 0.97216796875}, {"start": 698.61, "end": 699.03, "word": " x", "probability": 0.82666015625}, {"start": 699.03, "end": 699.59, "word": " ناقص", "probability": 0.85986328125}, {"start": 699.59, "end": 700.11, "word": " الواحد", "probability": 0.9083658854166666}, {"start": 700.11, "end": 700.55, "word": " لكل", "probability": 0.90625}, {"start": 700.55, "end": 701.23, "word": " تربيع", "probability": 0.83514404296875}, {"start": 701.23, "end": 702.21, "word": " grow", "probability": 0.89599609375}, {"start": 702.21, "end": 703.55, "word": " at", "probability": 0.9716796875}, {"start": 703.55, "end": 704.73, "word": " the", "probability": 0.93505859375}, {"start": 704.73, "end": 706.57, "word": " same", "probability": 0.912109375}, {"start": 706.57, "end": 708.15, "word": " rate", "probability": 0.97216796875}, {"start": 708.15, "end": 709.39, "word": " as", "probability": 0.95361328125}, {"start": 709.39, "end": 710.01, "word": " x", "probability": 0.93408203125}, {"start": 710.01, "end": 710.53, "word": " tends", "probability": 0.86083984375}, {"start": 710.53, "end": 710.77, "word": " to", "probability": 0.95703125}, {"start": 710.77, "end": 711.45, "word": " infinity", "probability": 0.8857421875}], "temperature": 1.0}, {"id": 33, "seek": 72420, "start": 714.32, "end": 724.2, "text": "الأن بال remark اللي قبل قليل by the above remark", "tokens": [6027, 33456, 20666, 7942, 13672, 1829, 12174, 36150, 12174, 20292, 1211, 538, 264, 3673, 7942], "avg_logprob": -0.36889647133648396, "compression_ratio": 1.0806451612903225, "no_speech_prob": 0.0, "words": [{"start": 714.32, "end": 715.72, "word": "الأن", "probability": 0.32421875}, {"start": 715.72, "end": 715.9, "word": " بال", "probability": 0.72705078125}, {"start": 715.9, "end": 716.5, "word": " remark", "probability": 0.437744140625}, {"start": 716.5, "end": 717.0, "word": " اللي", "probability": 0.634033203125}, {"start": 717.0, "end": 717.4, "word": " قبل", "probability": 0.9833984375}, {"start": 717.4, "end": 718.56, "word": " قليل", "probability": 0.9871419270833334}, {"start": 718.56, "end": 719.52, "word": " by", "probability": 0.37255859375}, {"start": 719.52, "end": 720.74, "word": " the", "probability": 0.8984375}, {"start": 720.74, "end": 722.3, "word": " above", "probability": 0.94384765625}, {"start": 722.3, "end": 724.2, "word": " remark", "probability": 0.9921875}], "temperature": 1.0}, {"id": 34, "seek": 75355, "start": 729.61, "end": 753.55, "text": "اللي هو من الجذر لل X تربية زائد خمسة and لاتنين جذر ال X نقص واحد لكل تربية grow at the same rate as X tends to infinity", "tokens": [6027, 20292, 31439, 9154, 25724, 8848, 2288, 24976, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 293, 5296, 9307, 1863, 9957, 10874, 8848, 2288, 2423, 1783, 8717, 4587, 9381, 36764, 24401, 5296, 28820, 6055, 25513, 10632, 1852, 412, 264, 912, 3314, 382, 1783, 12258, 281, 13202], "avg_logprob": -0.1759374964237213, "compression_ratio": 1.2773722627737227, "no_speech_prob": 0.0, "words": [{"start": 729.61, "end": 729.97, "word": "اللي", "probability": 0.4014892578125}, {"start": 729.97, "end": 730.15, "word": " هو", "probability": 0.83154296875}, {"start": 730.15, "end": 730.51, "word": " من", "probability": 0.90771484375}, {"start": 730.51, "end": 731.69, "word": " الجذر", "probability": 0.7923990885416666}, {"start": 731.69, "end": 732.21, "word": " لل", "probability": 0.814453125}, {"start": 732.21, "end": 732.53, "word": " X", "probability": 0.4248046875}, {"start": 732.53, "end": 733.21, "word": " تربية", "probability": 0.8580729166666666}, {"start": 733.21, "end": 734.17, "word": " زائد", "probability": 0.861328125}, {"start": 734.17, "end": 735.57, "word": " خمسة", "probability": 0.924560546875}, {"start": 735.57, "end": 736.13, "word": " and", "probability": 0.7275390625}, {"start": 736.13, "end": 737.83, "word": " لاتنين", "probability": 0.765869140625}, {"start": 737.83, "end": 738.61, "word": " جذر", "probability": 0.9365234375}, {"start": 738.61, "end": 738.81, "word": " ال", "probability": 0.8662109375}, {"start": 738.81, "end": 739.13, "word": " X", "probability": 0.95751953125}, {"start": 739.13, "end": 739.83, "word": " نقص", "probability": 0.9064127604166666}, {"start": 739.83, "end": 740.27, "word": " واحد", "probability": 0.9912109375}, {"start": 740.27, "end": 740.79, "word": " لكل", "probability": 0.973388671875}, {"start": 740.79, "end": 741.55, "word": " تربية", "probability": 0.9734700520833334}, {"start": 741.55, "end": 742.65, "word": " grow", "probability": 0.7275390625}, {"start": 742.65, "end": 744.23, "word": " at", "probability": 0.9599609375}, {"start": 744.23, "end": 745.59, "word": " the", "probability": 0.92529296875}, {"start": 745.59, "end": 747.53, "word": " same", "probability": 0.90625}, {"start": 747.53, "end": 749.07, "word": " rate", "probability": 0.96484375}, {"start": 749.07, "end": 750.51, "word": " as", "probability": 0.9541015625}, {"start": 750.51, "end": 751.73, "word": " X", "probability": 0.9853515625}, {"start": 751.73, "end": 752.65, "word": " tends", "probability": 0.681640625}, {"start": 752.65, "end": 752.97, "word": " to", "probability": 0.96728515625}, {"start": 752.97, "end": 753.55, "word": " infinity", "probability": 0.85009765625}], "temperature": 1.0}, {"id": 35, "seek": 78488, "start": 756.74, "end": 784.88, "text": "الان وصلنا الى نهاية هذا ال section يبقى بنروح ناخد exercises اللي هو السبعة تمانية المسائل من واحد لغاية ستة الأدنى تلت مسائل لكن كل سؤال فيه حوالى تمان نقاط تقريبا ايش يعني؟", "tokens": [6027, 7649, 4032, 36520, 8315, 2423, 7578, 8717, 11296, 10632, 23758, 2423, 3541, 7251, 3555, 4587, 7578, 44945, 32887, 5016, 8717, 47283, 3215, 11900, 13672, 1829, 31439, 21136, 3555, 27884, 46811, 7649, 10632, 9673, 3794, 16373, 1211, 9154, 36764, 24401, 5296, 17082, 995, 10632, 8608, 2655, 3660, 16247, 3215, 1863, 7578, 6055, 1211, 2655, 47524, 16373, 1211, 44381, 28242, 8608, 33604, 6027, 8978, 3224, 11331, 2407, 6027, 7578, 46811, 7649, 8717, 4587, 41193, 6055, 4587, 16572, 3555, 995, 1975, 1829, 8592, 37495, 22653, 22807], "avg_logprob": -0.1987132282818065, "compression_ratio": 1.597883597883598, "no_speech_prob": 0.0, "words": [{"start": 756.74, "end": 757.22, "word": "الان", "probability": 0.668212890625}, {"start": 757.22, "end": 757.9, "word": " وصلنا", "probability": 0.98974609375}, {"start": 757.9, "end": 758.2, "word": " الى", "probability": 0.856689453125}, {"start": 758.2, "end": 758.78, "word": " نهاية", "probability": 0.9469401041666666}, {"start": 758.78, "end": 759.2, "word": " هذا", "probability": 0.7919921875}, {"start": 759.2, "end": 759.34, "word": " ال", "probability": 0.68505859375}, {"start": 759.34, "end": 759.82, "word": " section", "probability": 0.8720703125}, {"start": 759.82, "end": 760.78, "word": " يبقى", "probability": 0.81781005859375}, {"start": 760.78, "end": 761.22, "word": " بنروح", "probability": 0.81689453125}, {"start": 761.22, "end": 761.7, "word": " ناخد", "probability": 0.986328125}, {"start": 761.7, "end": 762.74, "word": " exercises", "probability": 0.9169921875}, {"start": 762.74, "end": 763.84, "word": " اللي", "probability": 0.7421875}, {"start": 763.84, "end": 764.04, "word": " هو", "probability": 0.9775390625}, {"start": 764.04, "end": 764.88, "word": " السبعة", "probability": 0.7262369791666666}, {"start": 764.88, "end": 766.18, "word": " تمانية", "probability": 0.85693359375}, {"start": 766.18, "end": 767.86, "word": " المسائل", "probability": 0.930419921875}, {"start": 767.86, "end": 768.42, "word": " من", "probability": 0.96826171875}, {"start": 768.42, "end": 769.18, "word": " واحد", "probability": 0.9736328125}, {"start": 769.18, "end": 770.26, "word": " لغاية", "probability": 0.99072265625}, {"start": 770.26, "end": 771.52, "word": " ستة", "probability": 0.9765625}, {"start": 771.52, "end": 772.84, "word": " الأدنى", "probability": 0.451873779296875}, {"start": 772.84, "end": 774.16, "word": " تلت", "probability": 0.8385416666666666}, {"start": 774.16, "end": 774.82, "word": " مسائل", "probability": 0.9886067708333334}, {"start": 774.82, "end": 775.08, "word": " لكن", "probability": 0.904296875}, {"start": 775.08, "end": 775.46, "word": " كل", "probability": 0.95947265625}, {"start": 775.46, "end": 775.92, "word": " سؤال", "probability": 0.9832356770833334}, {"start": 775.92, "end": 776.16, "word": " فيه", "probability": 0.854736328125}, {"start": 776.16, "end": 776.62, "word": " حوالى", "probability": 0.84716796875}, {"start": 776.62, "end": 777.0, "word": " تمان", "probability": 0.78466796875}, {"start": 777.0, "end": 777.46, "word": " نقاط", "probability": 0.9601236979166666}, {"start": 777.46, "end": 778.04, "word": " تقريبا", "probability": 0.982421875}, {"start": 778.04, "end": 779.4, "word": " ايش", "probability": 0.4568684895833333}, {"start": 779.4, "end": 784.88, "word": " يعني؟", "probability": 0.9305013020833334}], "temperature": 1.0}, {"id": 36, "seek": 81002, "start": 787.72, "end": 810.02, "text": "انت فهمت الجزء النظري الأول؟ انا فضّقت حرفيا على الجزء النظري اللى خدناه تقبيق مباشر لا لف ولا جوران F of X هي الجدر التربية على X تربية زائد خمسة وال G of X هي X والH of X هي اتنين جدر ال X نقص واحد لكل تربية", "tokens": [7649, 2655, 6156, 16095, 2655, 25724, 11622, 38207, 28239, 19913, 16572, 16247, 12610, 22807, 1975, 8315, 6156, 11242, 11703, 38149, 11331, 28480, 25528, 15844, 25724, 11622, 38207, 28239, 19913, 16572, 13672, 7578, 16490, 3215, 8315, 3224, 6055, 4587, 21292, 4587, 3714, 3555, 33599, 2288, 20193, 5296, 5172, 49429, 10874, 13063, 7649, 479, 295, 1783, 39896, 25724, 3215, 2288, 16712, 25513, 10632, 15844, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 16070, 460, 295, 1783, 39896, 1783, 16070, 39, 295, 1783, 39896, 1975, 2655, 1863, 9957, 10874, 3215, 2288, 2423, 1783, 8717, 4587, 9381, 36764, 24401, 5296, 28820, 6055, 25513, 10632], "avg_logprob": -0.21544470852957323, "compression_ratio": 1.8350515463917525, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 787.72, "end": 788.4, "word": "انت", "probability": 0.55615234375}, {"start": 788.4, "end": 789.06, "word": " فهمت", "probability": 0.9646809895833334}, {"start": 789.06, "end": 789.34, "word": " الجزء", "probability": 0.9484049479166666}, {"start": 789.34, "end": 789.82, "word": " النظري", "probability": 0.768798828125}, {"start": 789.82, "end": 790.5, "word": " الأول؟", "probability": 0.7279459635416666}, {"start": 790.5, "end": 791.82, "word": " انا", "probability": 0.678955078125}, {"start": 791.82, "end": 792.7, "word": " فضّقت", "probability": 0.62957763671875}, {"start": 792.7, "end": 793.68, "word": " حرفيا", "probability": 0.8025716145833334}, {"start": 793.68, "end": 794.06, "word": " على", "probability": 0.7841796875}, {"start": 794.06, "end": 794.56, "word": " الجزء", "probability": 0.9651692708333334}, {"start": 794.56, "end": 795.02, "word": " النظري", "probability": 0.9591471354166666}, {"start": 795.02, "end": 795.2, "word": " اللى", "probability": 0.751220703125}, {"start": 795.2, "end": 795.92, "word": " خدناه", "probability": 0.95458984375}, {"start": 795.92, "end": 796.7, "word": " تقبيق", "probability": 0.8990478515625}, {"start": 796.7, "end": 797.26, "word": " مباشر", "probability": 0.9810791015625}, {"start": 797.26, "end": 797.42, "word": " لا", "probability": 0.61376953125}, {"start": 797.42, "end": 797.74, "word": " لف", "probability": 0.8779296875}, {"start": 797.74, "end": 797.92, "word": " ولا", "probability": 0.93408203125}, {"start": 797.92, "end": 798.58, "word": " جوران", "probability": 0.4829915364583333}, {"start": 798.58, "end": 799.48, "word": " F", "probability": 0.394287109375}, {"start": 799.48, "end": 799.76, "word": " of", "probability": 0.59765625}, {"start": 799.76, "end": 800.02, "word": " X", "probability": 0.93994140625}, {"start": 800.02, "end": 800.18, "word": " هي", "probability": 0.6279296875}, {"start": 800.18, "end": 800.52, "word": " الجدر", "probability": 0.8416341145833334}, {"start": 800.52, "end": 800.98, "word": " التربية", "probability": 0.7639973958333334}, {"start": 800.98, "end": 801.16, "word": " على", "probability": 0.425537109375}, {"start": 801.16, "end": 801.32, "word": " X", "probability": 0.97802734375}, {"start": 801.32, "end": 801.94, "word": " تربية", "probability": 0.9186197916666666}, {"start": 801.94, "end": 803.56, "word": " زائد", "probability": 0.8235677083333334}, {"start": 803.56, "end": 804.48, "word": " خمسة", "probability": 0.8848876953125}, {"start": 804.48, "end": 805.08, "word": " وال", "probability": 0.51904296875}, {"start": 805.08, "end": 805.34, "word": " G", "probability": 0.595703125}, {"start": 805.34, "end": 805.6, "word": " of", "probability": 0.94970703125}, {"start": 805.6, "end": 805.9, "word": " X", "probability": 0.9970703125}, {"start": 805.9, "end": 806.22, "word": " هي", "probability": 0.91845703125}, {"start": 806.22, "end": 806.68, "word": " X", "probability": 0.96142578125}, {"start": 806.68, "end": 807.2, "word": " والH", "probability": 0.682861328125}, {"start": 807.2, "end": 807.46, "word": " of", "probability": 0.93603515625}, {"start": 807.46, "end": 807.7, "word": " X", "probability": 0.994140625}, {"start": 807.7, "end": 807.9, "word": " هي", "probability": 0.892578125}, {"start": 807.9, "end": 808.24, "word": " اتنين", "probability": 0.92578125}, {"start": 808.24, "end": 808.52, "word": " جدر", "probability": 0.9314778645833334}, {"start": 808.52, "end": 808.64, "word": " ال", "probability": 0.7734375}, {"start": 808.64, "end": 808.78, "word": " X", "probability": 0.8916015625}, {"start": 808.78, "end": 809.12, "word": " نقص", "probability": 0.9451497395833334}, {"start": 809.12, "end": 809.3, "word": " واحد", "probability": 0.986572265625}, {"start": 809.3, "end": 809.58, "word": " لكل", "probability": 0.866455078125}, {"start": 809.58, "end": 810.02, "word": " تربية", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 37, "seek": 83849, "start": 816.41, "end": 838.49, "text": "عندما أخذت أول تنتين تالي عندي مقترا ثابتا يبقى التنين ي grow at the same rate عندما أخذت التنتين التانية تالية مقدار ثابت كمان تاني يبقى التنين ي grow at the same rate يبقى بواسطة ال remark صارت دالة الأولى الى when saw by the above remark", "tokens": [3615, 41260, 15042, 5551, 9778, 8848, 2655, 5551, 12610, 6055, 29399, 9957, 6055, 6027, 1829, 18871, 16254, 3714, 38149, 23557, 38637, 16758, 2655, 995, 7251, 3555, 4587, 7578, 16712, 1863, 9957, 7251, 1852, 412, 264, 912, 3314, 43242, 15042, 5551, 9778, 8848, 2655, 16712, 29399, 9957, 16712, 7649, 10632, 6055, 6027, 10632, 3714, 28543, 9640, 38637, 16758, 2655, 9122, 2304, 7649, 6055, 7649, 1829, 7251, 3555, 4587, 7578, 16712, 1863, 9957, 7251, 1852, 412, 264, 912, 3314, 7251, 3555, 4587, 7578, 4724, 14407, 3794, 9566, 3660, 2423, 7942, 20328, 9640, 2655, 11778, 6027, 3660, 16247, 12610, 7578, 2423, 7578, 562, 1866, 538, 264, 3673, 7942], "avg_logprob": -0.31279481666268044, "compression_ratio": 1.9123711340206186, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 816.4100000000001, "end": 817.21, "word": "عندما", "probability": 0.3955078125}, {"start": 817.21, "end": 818.01, "word": " أخذت", "probability": 0.64215087890625}, {"start": 818.01, "end": 818.37, "word": " أول", "probability": 0.78955078125}, {"start": 818.37, "end": 818.87, "word": " تنتين", "probability": 0.8382161458333334}, {"start": 818.87, "end": 819.19, "word": " تالي", "probability": 0.3519694010416667}, {"start": 819.19, "end": 819.55, "word": " عندي", "probability": 0.80810546875}, {"start": 819.55, "end": 820.21, "word": " مقترا", "probability": 0.621826171875}, {"start": 820.21, "end": 821.13, "word": " ثابتا", "probability": 0.9737548828125}, {"start": 821.13, "end": 821.53, "word": " يبقى", "probability": 0.9005126953125}, {"start": 821.53, "end": 821.99, "word": " التنين", "probability": 0.7020670572916666}, {"start": 821.99, "end": 822.13, "word": " ي", "probability": 0.75732421875}, {"start": 822.13, "end": 822.29, "word": " grow", "probability": 0.0828857421875}, {"start": 822.29, "end": 822.59, "word": " at", "probability": 0.78662109375}, {"start": 822.59, "end": 822.77, "word": " the", "probability": 0.9228515625}, {"start": 822.77, "end": 823.15, "word": " same", "probability": 0.9130859375}, {"start": 823.15, "end": 823.55, "word": " rate", "probability": 0.974609375}, {"start": 823.55, "end": 824.31, "word": " عندما", "probability": 0.742431640625}, {"start": 824.31, "end": 824.79, "word": " أخذت", "probability": 0.9344482421875}, {"start": 824.79, "end": 825.35, "word": " التنتين", "probability": 0.9376627604166666}, {"start": 825.35, "end": 825.91, "word": " التانية", "probability": 0.9466145833333334}, {"start": 825.91, "end": 826.27, "word": " تالية", "probability": 0.702392578125}, {"start": 826.27, "end": 826.93, "word": " مقدار", "probability": 0.8447265625}, {"start": 826.93, "end": 827.51, "word": " ثابت", "probability": 0.9944661458333334}, {"start": 827.51, "end": 827.97, "word": " كمان", "probability": 0.719970703125}, {"start": 827.97, "end": 828.39, "word": " تاني", "probability": 0.92529296875}, {"start": 828.39, "end": 828.65, "word": " يبقى", "probability": 0.9696044921875}, {"start": 828.65, "end": 828.99, "word": " التنين", "probability": 0.9124348958333334}, {"start": 828.99, "end": 829.15, "word": " ي", "probability": 0.93212890625}, {"start": 829.15, "end": 829.29, "word": " grow", "probability": 0.81201171875}, {"start": 829.29, "end": 829.65, "word": " at", "probability": 0.962890625}, {"start": 829.65, "end": 829.81, "word": " the", "probability": 0.93603515625}, {"start": 829.81, "end": 830.11, "word": " same", "probability": 0.8994140625}, {"start": 830.11, "end": 830.49, "word": " rate", "probability": 0.9755859375}, {"start": 830.49, "end": 831.17, "word": " يبقى", "probability": 0.892333984375}, {"start": 831.17, "end": 831.87, "word": " بواسطة", "probability": 0.9357421875}, {"start": 831.87, "end": 832.01, "word": " ال", "probability": 0.456298828125}, {"start": 832.01, "end": 832.37, "word": " remark", "probability": 0.86083984375}, {"start": 832.37, "end": 832.93, "word": " صارت", "probability": 0.604736328125}, {"start": 832.93, "end": 833.49, "word": " دالة", "probability": 0.77978515625}, {"start": 833.49, "end": 834.89, "word": " الأولى", "probability": 0.9609375}, {"start": 834.89, "end": 835.33, "word": " الى", "probability": 0.23504638671875}, {"start": 835.33, "end": 835.69, "word": " when", "probability": 0.39404296875}, {"start": 835.69, "end": 836.31, "word": " saw", "probability": 0.5693359375}, {"start": 836.31, "end": 837.29, "word": " by", "probability": 0.791015625}, {"start": 837.29, "end": 837.49, "word": " the", "probability": 0.9072265625}, {"start": 837.49, "end": 837.87, "word": " above", "probability": 0.96826171875}, {"start": 837.87, "end": 838.49, "word": " remark", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 38, "seek": 85938, "start": 838.72, "end": 859.38, "text": "هذه و هذه الدليل تنجروا في نفس الوقت كإتران لإنفانية. إلك اعتراض على هذا؟ جدًا، السؤال ما قالك، هذه F و X و هذه H و Z؟ بقى انت خد اللي بدك هيه، ماعنديش مشكلة، ان شاء الله تاخد هذه، هرا، و اين راحت؟ خد هذه F و X و هذه H و Z، شو بأثر يعني؟", "tokens": [3224, 24192, 4032, 29538, 32748, 20292, 1211, 6055, 1863, 7435, 2288, 14407, 8978, 8717, 36178, 2423, 30543, 2655, 9122, 28814, 2655, 2288, 7649, 5296, 28814, 1863, 5172, 7649, 10632, 13, 11933, 23275, 1975, 34268, 2288, 46958, 15844, 23758, 22807, 10874, 3215, 14111, 995, 12399, 21136, 33604, 6027, 19446, 50239, 4117, 12399, 8032, 8848, 3224, 479, 4032, 1783, 4032, 8032, 8848, 3224, 389, 4032, 1176, 22807, 4724, 4587, 7578, 16472, 2655, 16490, 3215, 13672, 1829, 47525, 4117, 39896, 3224, 12399, 19446, 3615, 1863, 16254, 8592, 37893, 28820, 3660, 12399, 16472, 13412, 16606, 21984, 6055, 47283, 3215, 29538, 12399, 8032, 23557, 12399, 4032, 1975, 9957, 12602, 39319, 2655, 22807, 16490, 3215, 29538, 479, 4032, 1783, 4032, 29538, 389, 4032, 1176, 12399, 13412, 2407, 4724, 10721, 49115, 37495, 22653, 22807], "avg_logprob": -0.4909667845349759, "compression_ratio": 1.7860262008733625, "no_speech_prob": 0.0, "words": [{"start": 838.72, "end": 839.46, "word": "هذه", "probability": 0.66162109375}, {"start": 839.46, "end": 839.92, "word": " و", "probability": 0.276123046875}, {"start": 839.92, "end": 840.18, "word": " هذه", "probability": 0.626953125}, {"start": 840.18, "end": 840.58, "word": " الدليل", "probability": 0.6551920572916666}, {"start": 840.58, "end": 841.28, "word": " تنجروا", "probability": 0.472607421875}, {"start": 841.28, "end": 841.54, "word": " في", "probability": 0.419677734375}, {"start": 841.54, "end": 841.78, "word": " نفس", "probability": 0.91650390625}, {"start": 841.78, "end": 842.2, "word": " الوقت", "probability": 0.5498046875}, {"start": 842.2, "end": 843.74, "word": " كإتران", "probability": 0.415625}, {"start": 843.74, "end": 844.66, "word": " لإنفانية.", "probability": 0.7078450520833334}, {"start": 844.84, "end": 845.36, "word": " إلك", "probability": 0.32159423828125}, {"start": 845.36, "end": 845.92, "word": " اعتراض", "probability": 0.7398681640625}, {"start": 845.92, "end": 846.1, "word": " على", "probability": 0.849609375}, {"start": 846.1, "end": 847.02, "word": " هذا؟", "probability": 0.875244140625}, {"start": 847.02, "end": 847.52, "word": " جدًا،", "probability": 0.5064697265625}, {"start": 847.52, "end": 847.84, "word": " السؤال", "probability": 0.8059895833333334}, {"start": 847.84, "end": 848.02, "word": " ما", "probability": 0.76904296875}, {"start": 848.02, "end": 848.38, "word": " قالك،", "probability": 0.4542236328125}, {"start": 848.38, "end": 848.64, "word": " هذه", "probability": 0.493408203125}, {"start": 848.64, "end": 848.78, "word": " F", "probability": 0.6494140625}, {"start": 848.78, "end": 848.88, "word": " و", "probability": 0.90283203125}, {"start": 848.88, "end": 849.12, "word": " X", "probability": 0.40234375}, {"start": 849.12, "end": 849.24, "word": " و", "probability": 0.77392578125}, {"start": 849.24, "end": 849.4, "word": " هذه", "probability": 0.64599609375}, {"start": 849.4, "end": 849.56, "word": " H", "probability": 0.81884765625}, {"start": 849.56, "end": 849.76, "word": " و", "probability": 0.61767578125}, {"start": 849.76, "end": 850.34, "word": " Z؟", "probability": 0.186553955078125}, {"start": 850.34, "end": 850.52, "word": " بقى", "probability": 0.5161946614583334}, {"start": 850.52, "end": 850.7, "word": " انت", "probability": 0.62890625}, {"start": 850.7, "end": 850.88, "word": " خد", "probability": 0.74462890625}, {"start": 850.88, "end": 851.0, "word": " اللي", "probability": 0.91552734375}, {"start": 851.0, "end": 851.24, "word": " بدك", "probability": 0.9267578125}, {"start": 851.24, "end": 851.62, "word": " هيه،", "probability": 0.5597330729166666}, {"start": 851.62, "end": 852.02, "word": " ماعنديش", "probability": 0.93642578125}, {"start": 852.02, "end": 853.02, "word": " مشكلة،", "probability": 0.8651123046875}, {"start": 853.02, "end": 853.14, "word": " ان", "probability": 0.83935546875}, {"start": 853.14, "end": 853.42, "word": " شاء", "probability": 0.87158203125}, {"start": 853.42, "end": 853.46, "word": " الله", "probability": 0.9658203125}, {"start": 853.46, "end": 854.0, "word": " تاخد", "probability": 0.9713541666666666}, {"start": 854.0, "end": 854.52, "word": " هذه،", "probability": 0.49639892578125}, {"start": 854.52, "end": 855.24, "word": " هرا،", "probability": 0.3797200520833333}, {"start": 855.24, "end": 855.36, "word": " و", "probability": 0.9345703125}, {"start": 855.36, "end": 855.5, "word": " اين", "probability": 0.319122314453125}, {"start": 855.5, "end": 856.06, "word": " راحت؟", "probability": 0.766357421875}, {"start": 856.06, "end": 856.46, "word": " خد", "probability": 0.966552734375}, {"start": 856.46, "end": 856.7, "word": " هذه", "probability": 0.76025390625}, {"start": 856.7, "end": 856.9, "word": " F", "probability": 0.93359375}, {"start": 856.9, "end": 857.04, "word": " و", "probability": 0.9892578125}, {"start": 857.04, "end": 857.24, "word": " X", "probability": 0.943359375}, {"start": 857.24, "end": 857.4, "word": " و", "probability": 0.95263671875}, {"start": 857.4, "end": 857.74, "word": " هذه", "probability": 0.673828125}, {"start": 857.74, "end": 858.16, "word": " H", "probability": 0.59033203125}, {"start": 858.16, "end": 858.4, "word": " و", "probability": 0.62060546875}, {"start": 858.4, "end": 858.58, "word": " Z،", "probability": 0.854248046875}, {"start": 858.58, "end": 858.74, "word": " شو", "probability": 0.725830078125}, {"start": 858.74, "end": 859.1, "word": " بأثر", "probability": 0.8180338541666666}, {"start": 859.1, "end": 859.38, "word": " يعني؟", "probability": 0.9365234375}], "temperature": 1.0}, {"id": 39, "seek": 87677, "start": 860.29, "end": 876.77, "text": "شوفوا يا سيدي، لو جلبتم بدل هذه من ربع بالصير أربعة، برضه بين صفر و infinity، مافيهاش إشكالية، ولا حاجة، يعني ليس بالضرورة الترتيب، لأن العبرة بالنتيجة وليس بالترتيب، كنتوا بيكتبوا السؤالات، فضلوا", "tokens": [8592, 38688, 14407, 35186, 8608, 1829, 16254, 12399, 45164, 10874, 46152, 39237, 47525, 1211, 29538, 9154, 12602, 3555, 3615, 20666, 9381, 13546, 5551, 25513, 27884, 12399, 4724, 43042, 3224, 49374, 20328, 5172, 2288, 4032, 13202, 12399, 19446, 41185, 3224, 33599, 11933, 8592, 4117, 6027, 10632, 12399, 49429, 11331, 26108, 3660, 12399, 37495, 22653, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 16712, 2288, 31371, 3555, 12399, 5296, 33456, 18863, 3555, 25720, 20666, 29399, 1829, 7435, 3660, 4032, 20292, 3794, 20666, 2655, 2288, 31371, 3555, 12399, 9122, 29399, 14407, 4724, 1829, 4117, 2655, 3555, 14407, 21136, 33604, 6027, 9307, 12399, 6156, 11242, 1211, 14407], "avg_logprob": -0.2533373792194626, "compression_ratio": 1.6923076923076923, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 860.29, "end": 860.81, "word": "شوفوا", "probability": 0.6930338541666666}, {"start": 860.81, "end": 860.85, "word": " يا", "probability": 0.7548828125}, {"start": 860.85, "end": 861.33, "word": " سيدي،", "probability": 0.819580078125}, {"start": 861.33, "end": 861.61, "word": " لو", "probability": 0.96240234375}, {"start": 861.61, "end": 862.41, "word": " جلبتم", "probability": 0.8650716145833334}, {"start": 862.41, "end": 862.87, "word": " بدل", "probability": 0.915283203125}, {"start": 862.87, "end": 863.19, "word": " هذه", "probability": 0.7080078125}, {"start": 863.19, "end": 863.37, "word": " من", "probability": 0.354248046875}, {"start": 863.37, "end": 863.71, "word": " ربع", "probability": 0.7981770833333334}, {"start": 863.71, "end": 864.23, "word": " بالصير", "probability": 0.81640625}, {"start": 864.23, "end": 864.93, "word": " أربعة،", "probability": 0.770263671875}, {"start": 864.93, "end": 865.27, "word": " برضه", "probability": 0.970703125}, {"start": 865.27, "end": 865.49, "word": " بين", "probability": 0.5439453125}, {"start": 865.49, "end": 865.87, "word": " صفر", "probability": 0.953125}, {"start": 865.87, "end": 866.03, "word": " و", "probability": 0.97021484375}, {"start": 866.03, "end": 866.59, "word": " infinity،", "probability": 0.41717529296875}, {"start": 866.59, "end": 867.07, "word": " مافيهاش", "probability": 0.8988037109375}, {"start": 867.07, "end": 868.09, "word": " إشكالية،", "probability": 0.6448160807291666}, {"start": 868.09, "end": 868.43, "word": " ولا", "probability": 0.896484375}, {"start": 868.43, "end": 868.99, "word": " حاجة،", "probability": 0.891845703125}, {"start": 868.99, "end": 869.95, "word": " يعني", "probability": 0.698974609375}, {"start": 869.95, "end": 870.47, "word": " ليس", "probability": 0.9755859375}, {"start": 870.47, "end": 871.39, "word": " بالضرورة", "probability": 0.97724609375}, {"start": 871.39, "end": 872.21, "word": " الترتيب،", "probability": 0.868359375}, {"start": 872.21, "end": 872.61, "word": " لأن", "probability": 0.88037109375}, {"start": 872.61, "end": 873.07, "word": " العبرة", "probability": 0.6180826822916666}, {"start": 873.07, "end": 873.63, "word": " بالنتيجة", "probability": 0.96826171875}, {"start": 873.63, "end": 874.03, "word": " وليس", "probability": 0.83935546875}, {"start": 874.03, "end": 875.11, "word": " بالترتيب،", "probability": 0.8783772786458334}, {"start": 875.11, "end": 875.37, "word": " كنتوا", "probability": 0.6720377604166666}, {"start": 875.37, "end": 875.73, "word": " بيكتبوا", "probability": 0.7220052083333334}, {"start": 875.73, "end": 876.15, "word": " السؤالات،", "probability": 0.8388671875}, {"start": 876.15, "end": 876.77, "word": " فضلوا", "probability": 0.8453369140625}], "temperature": 1.0}, {"id": 40, "seek": 89182, "start": 879.34, "end": 891.82, "text": "أنت غاب و حاضر ولا إيه؟ احنا قولنا إذا بنقدر مباشرة ماشي لكن أحيانا ممكن تلاقي الصعوبة نروح ندخل ده اللي في النصب و بنشتغل الشغل تبعنا", "tokens": [10721, 29399, 32771, 16758, 4032, 11331, 46958, 2288, 49429, 11933, 1829, 3224, 22807, 1975, 5016, 8315, 12174, 12610, 8315, 11933, 15730, 44945, 28543, 2288, 3714, 3555, 33599, 25720, 3714, 33599, 1829, 44381, 5551, 5016, 1829, 7649, 995, 3714, 43020, 6055, 15040, 38436, 31767, 3615, 37746, 3660, 8717, 32887, 5016, 8717, 3215, 9778, 1211, 11778, 3224, 13672, 1829, 8978, 28239, 9381, 3555, 4032, 44945, 8592, 2655, 17082, 1211, 25124, 17082, 1211, 6055, 3555, 3615, 8315], "avg_logprob": -0.21833332816759746, "compression_ratio": 1.6026490066225165, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 879.34, "end": 880.22, "word": "أنت", "probability": 0.48974609375}, {"start": 880.22, "end": 881.1, "word": " غاب", "probability": 0.55224609375}, {"start": 881.1, "end": 881.2, "word": " و", "probability": 0.71533203125}, {"start": 881.2, "end": 881.64, "word": " حاضر", "probability": 0.9248046875}, {"start": 881.64, "end": 881.84, "word": " ولا", "probability": 0.88916015625}, {"start": 881.84, "end": 882.46, "word": " إيه؟", "probability": 0.8289794921875}, {"start": 882.46, "end": 882.78, "word": " احنا", "probability": 0.8434244791666666}, {"start": 882.78, "end": 883.24, "word": " قولنا", "probability": 0.69921875}, {"start": 883.24, "end": 883.48, "word": " إذا", "probability": 0.932373046875}, {"start": 883.48, "end": 884.22, "word": " بنقدر", "probability": 0.9132486979166666}, {"start": 884.22, "end": 885.06, "word": " مباشرة", "probability": 0.96826171875}, {"start": 885.06, "end": 885.64, "word": " ماشي", "probability": 0.72802734375}, {"start": 885.64, "end": 886.2, "word": " لكن", "probability": 0.49560546875}, {"start": 886.2, "end": 887.02, "word": " أحيانا", "probability": 0.97646484375}, {"start": 887.02, "end": 887.3, "word": " ممكن", "probability": 0.961669921875}, {"start": 887.3, "end": 887.7, "word": " تلاقي", "probability": 0.95458984375}, {"start": 887.7, "end": 888.4, "word": " الصعوبة", "probability": 0.9505615234375}, {"start": 888.4, "end": 888.7, "word": " نروح", "probability": 0.88232421875}, {"start": 888.7, "end": 889.36, "word": " ندخل", "probability": 0.85565185546875}, {"start": 889.36, "end": 889.56, "word": " ده", "probability": 0.5772705078125}, {"start": 889.56, "end": 889.7, "word": " اللي", "probability": 0.968017578125}, {"start": 889.7, "end": 889.82, "word": " في", "probability": 0.775390625}, {"start": 889.82, "end": 890.48, "word": " النصب", "probability": 0.650390625}, {"start": 890.48, "end": 890.58, "word": " و", "probability": 0.96435546875}, {"start": 890.58, "end": 891.02, "word": " بنشتغل", "probability": 0.814990234375}, {"start": 891.02, "end": 891.36, "word": " الشغل", "probability": 0.9850260416666666}, {"start": 891.36, "end": 891.82, "word": " تبعنا", "probability": 0.8323974609375}], "temperature": 1.0}, {"id": 41, "seek": 91262, "start": 894.9, "end": 912.62, "text": "نحن نقول لك اسمع كده، بتعمل مقارنة بين ال two functions، يعني بدك تخلق الدلة في المصدر من خلال شكل الدلتين اللي عندك، مش عشوائيا يعني، وشوفت احنا لما جينا قارنة، قولنا من اللي بيتحكم في الدلة الأولى؟", "tokens": [1863, 5016, 1863, 8717, 39648, 5296, 4117, 1975, 38251, 3615, 9122, 3215, 3224, 12399, 39894, 25957, 1211, 3714, 4587, 9640, 1863, 3660, 49374, 2423, 732, 6828, 12399, 37495, 22653, 47525, 4117, 6055, 9778, 1211, 4587, 32748, 37977, 8978, 9673, 9381, 3215, 2288, 9154, 16490, 1211, 6027, 13412, 28820, 32748, 1211, 2655, 9957, 13672, 1829, 43242, 4117, 12399, 37893, 6225, 8592, 2407, 16373, 25528, 37495, 22653, 12399, 4032, 8592, 38688, 2655, 1975, 5016, 8315, 5296, 15042, 10874, 1829, 8315, 12174, 9640, 1863, 3660, 12399, 12174, 12610, 8315, 9154, 13672, 1829, 4724, 36081, 5016, 24793, 8978, 32748, 37977, 16247, 12610, 7578, 22807], "avg_logprob": -0.2233910826173159, "compression_ratio": 1.7192118226600985, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 894.9, "end": 895.22, "word": "نحن", "probability": 0.7262369791666666}, {"start": 895.22, "end": 895.54, "word": " نقول", "probability": 0.737060546875}, {"start": 895.54, "end": 895.8, "word": " لك", "probability": 0.6650390625}, {"start": 895.8, "end": 897.52, "word": " اسمع", "probability": 0.6421712239583334}, {"start": 897.52, "end": 898.4, "word": " كده،", "probability": 0.7027587890625}, {"start": 898.4, "end": 899.06, "word": " بتعمل", "probability": 0.85546875}, {"start": 899.06, "end": 899.82, "word": " مقارنة", "probability": 0.99130859375}, {"start": 899.82, "end": 900.02, "word": " بين", "probability": 0.92919921875}, {"start": 900.02, "end": 900.2, "word": " ال", "probability": 0.9677734375}, {"start": 900.2, "end": 900.34, "word": " two", "probability": 0.66064453125}, {"start": 900.34, "end": 900.96, "word": " functions،", "probability": 0.5382080078125}, {"start": 900.96, "end": 901.22, "word": " يعني", "probability": 0.9150390625}, {"start": 901.22, "end": 901.52, "word": " بدك", "probability": 0.6019287109375}, {"start": 901.52, "end": 902.22, "word": " تخلق", "probability": 0.87060546875}, {"start": 902.22, "end": 902.72, "word": " الدلة", "probability": 0.768310546875}, {"start": 902.72, "end": 902.92, "word": " في", "probability": 0.94091796875}, {"start": 902.92, "end": 903.72, "word": " المصدر", "probability": 0.70843505859375}, {"start": 903.72, "end": 903.9, "word": " من", "probability": 0.958984375}, {"start": 903.9, "end": 904.3, "word": " خلال", "probability": 0.9912109375}, {"start": 904.3, "end": 904.7, "word": " شكل", "probability": 0.979736328125}, {"start": 904.7, "end": 905.52, "word": " الدلتين", "probability": 0.9581298828125}, {"start": 905.52, "end": 905.76, "word": " اللي", "probability": 0.976806640625}, {"start": 905.76, "end": 906.62, "word": " عندك،", "probability": 0.9103190104166666}, {"start": 906.62, "end": 906.86, "word": " مش", "probability": 0.97314453125}, {"start": 906.86, "end": 907.72, "word": " عشوائيا", "probability": 0.9564453125}, {"start": 907.72, "end": 908.14, "word": " يعني،", "probability": 0.8004557291666666}, {"start": 908.14, "end": 909.02, "word": " وشوفت", "probability": 0.9169921875}, {"start": 909.02, "end": 909.18, "word": " احنا", "probability": 0.9352213541666666}, {"start": 909.18, "end": 909.42, "word": " لما", "probability": 0.9228515625}, {"start": 909.42, "end": 909.62, "word": " جينا", "probability": 0.594482421875}, {"start": 909.62, "end": 910.12, "word": " قارنة،", "probability": 0.7166015625}, {"start": 910.12, "end": 910.38, "word": " قولنا", "probability": 0.6908365885416666}, {"start": 910.38, "end": 910.52, "word": " من", "probability": 0.6591796875}, {"start": 910.52, "end": 910.68, "word": " اللي", "probability": 0.86572265625}, {"start": 910.68, "end": 911.32, "word": " بيتحكم", "probability": 0.8016357421875}, {"start": 911.32, "end": 911.46, "word": " في", "probability": 0.927734375}, {"start": 911.46, "end": 911.84, "word": " الدلة", "probability": 0.993408203125}, {"start": 911.84, "end": 912.62, "word": " الأولى؟", "probability": 0.9544677734375}], "temperature": 1.0}, {"id": 42, "seek": 93551, "start": 914.39, "end": 935.51, "text": "هل الخمسة و الله ال X تربيها؟ قلنا ال X تربيها لأنها أكبر لما ال X بتروح للمألة نهاية، يبقى بنعتبر كأن الخمسة مش مولودة صار الجدر التربيها ل X تربيها طلعت X جينا نفدها لتنينين لما فتكناها، من الجزء الأكبر؟ الجزء اللي هو أربعة X، أربعة هذا كله صندوق لا بيقدم ولا بيأخر هم دي، يبقى صارة ال X هذه يامام", "tokens": [3224, 1211, 33962, 2304, 3794, 3660, 4032, 21984, 2423, 1783, 6055, 2288, 21292, 11296, 22807, 12174, 1211, 8315, 2423, 1783, 6055, 2288, 21292, 11296, 5296, 33456, 11296, 5551, 4117, 26890, 5296, 15042, 2423, 1783, 39894, 32887, 5016, 5296, 19528, 10721, 37977, 8717, 11296, 10632, 12399, 7251, 3555, 4587, 7578, 44945, 34268, 26890, 9122, 33456, 33962, 2304, 3794, 3660, 37893, 3714, 12610, 23328, 3660, 20328, 9640, 25724, 3215, 2288, 16712, 2288, 21292, 11296, 5296, 1783, 6055, 2288, 21292, 11296, 23032, 1211, 34268, 1783, 10874, 1829, 8315, 8717, 5172, 3215, 11296, 5296, 2655, 1863, 9957, 9957, 5296, 15042, 6156, 2655, 4117, 8315, 11296, 12399, 9154, 25724, 11622, 38207, 16247, 4117, 26890, 22807, 25724, 11622, 38207, 13672, 1829, 31439, 5551, 25513, 27884, 1783, 12399, 5551, 25513, 27884, 23758, 28242, 3224, 20328, 41260, 30543, 20193, 4724, 1829, 28543, 2304, 49429, 4724, 1829, 10721, 34740, 8032, 2304, 11778, 1829, 12399, 7251, 3555, 4587, 7578, 20328, 9640, 3660, 2423, 1783, 29538, 7251, 10943, 10943], "avg_logprob": -0.3128930911328058, "compression_ratio": 2.1031746031746033, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 914.39, "end": 914.77, "word": "هل", "probability": 0.91455078125}, {"start": 914.77, "end": 915.49, "word": " الخمسة", "probability": 0.88671875}, {"start": 915.49, "end": 915.63, "word": " و", "probability": 0.298583984375}, {"start": 915.63, "end": 915.83, "word": " الله", "probability": 0.4453125}, {"start": 915.83, "end": 916.05, "word": " ال", "probability": 0.66943359375}, {"start": 916.05, "end": 916.13, "word": " X", "probability": 0.6884765625}, {"start": 916.13, "end": 916.67, "word": " تربيها؟", "probability": 0.758740234375}, {"start": 916.67, "end": 916.87, "word": " قلنا", "probability": 0.686279296875}, {"start": 916.87, "end": 916.99, "word": " ال", "probability": 0.344482421875}, {"start": 916.99, "end": 917.11, "word": " X", "probability": 0.98974609375}, {"start": 917.11, "end": 917.37, "word": " تربيها", "probability": 0.9315185546875}, {"start": 917.37, "end": 917.73, "word": " لأنها", "probability": 0.7887369791666666}, {"start": 917.73, "end": 918.19, "word": " أكبر", "probability": 0.9446614583333334}, {"start": 918.19, "end": 918.47, "word": " لما", "probability": 0.6907958984375}, {"start": 918.47, "end": 918.61, "word": " ال", "probability": 0.64111328125}, {"start": 918.61, "end": 918.79, "word": " X", "probability": 0.97607421875}, {"start": 918.79, "end": 919.31, "word": " بتروح", "probability": 0.7325846354166666}, {"start": 919.31, "end": 919.75, "word": " للمألة", "probability": 0.58416748046875}, {"start": 919.75, "end": 920.61, "word": " نهاية،", "probability": 0.734619140625}, {"start": 920.61, "end": 920.79, "word": " يبقى", "probability": 0.9420166015625}, {"start": 920.79, "end": 921.29, "word": " بنعتبر", "probability": 0.8333333333333334}, {"start": 921.29, "end": 921.59, "word": " كأن", "probability": 0.59423828125}, {"start": 921.59, "end": 922.07, "word": " الخمسة", "probability": 0.986083984375}, {"start": 922.07, "end": 922.25, "word": " مش", "probability": 0.865234375}, {"start": 922.25, "end": 922.65, "word": " مولودة", "probability": 0.71307373046875}, {"start": 922.65, "end": 922.87, "word": " صار", "probability": 0.71240234375}, {"start": 922.87, "end": 923.21, "word": " الجدر", "probability": 0.629150390625}, {"start": 923.21, "end": 923.59, "word": " التربيها", "probability": 0.849609375}, {"start": 923.59, "end": 923.69, "word": " ل", "probability": 0.5361328125}, {"start": 923.69, "end": 923.83, "word": " X", "probability": 0.6923828125}, {"start": 923.83, "end": 924.17, "word": " تربيها", "probability": 0.8802490234375}, {"start": 924.17, "end": 924.57, "word": " طلعت", "probability": 0.8963216145833334}, {"start": 924.57, "end": 924.95, "word": " X", "probability": 0.97998046875}, {"start": 924.95, "end": 925.77, "word": " جينا", "probability": 0.7200520833333334}, {"start": 925.77, "end": 926.17, "word": " نفدها", "probability": 0.66973876953125}, {"start": 926.17, "end": 926.87, "word": " لتنينين", "probability": 0.637841796875}, {"start": 926.87, "end": 927.11, "word": " لما", "probability": 0.716552734375}, {"start": 927.11, "end": 927.95, "word": " فتكناها،", "probability": 0.6914469401041666}, {"start": 927.95, "end": 928.05, "word": " من", "probability": 0.609375}, {"start": 928.05, "end": 928.47, "word": " الجزء", "probability": 0.9265950520833334}, {"start": 928.47, "end": 929.07, "word": " الأكبر؟", "probability": 0.935302734375}, {"start": 929.07, "end": 929.39, "word": " الجزء", "probability": 0.986328125}, {"start": 929.39, "end": 929.51, "word": " اللي", "probability": 0.90576171875}, {"start": 929.51, "end": 929.67, "word": " هو", "probability": 0.986328125}, {"start": 929.67, "end": 930.03, "word": " أربعة", "probability": 0.763427734375}, {"start": 930.03, "end": 930.71, "word": " X،", "probability": 0.756103515625}, {"start": 930.71, "end": 931.07, "word": " أربعة", "probability": 0.9085286458333334}, {"start": 931.07, "end": 931.25, "word": " هذا", "probability": 0.29248046875}, {"start": 931.25, "end": 931.59, "word": " كله", "probability": 0.839599609375}, {"start": 931.59, "end": 931.85, "word": " صندوق", "probability": 0.57080078125}, {"start": 931.85, "end": 931.93, "word": " لا", "probability": 0.2763671875}, {"start": 931.93, "end": 932.31, "word": " بيقدم", "probability": 0.77716064453125}, {"start": 932.31, "end": 932.47, "word": " ولا", "probability": 0.94384765625}, {"start": 932.47, "end": 932.87, "word": " بيأخر", "probability": 0.8321533203125}, {"start": 932.87, "end": 933.15, "word": " هم", "probability": 0.3475341796875}, {"start": 933.15, "end": 933.61, "word": " دي،", "probability": 0.83544921875}, {"start": 933.61, "end": 933.95, "word": " يبقى", "probability": 0.9886474609375}, {"start": 933.95, "end": 934.35, "word": " صارة", "probability": 0.7935384114583334}, {"start": 934.35, "end": 934.47, "word": " ال", "probability": 0.935546875}, {"start": 934.47, "end": 934.71, "word": " X", "probability": 0.994140625}, {"start": 934.71, "end": 935.03, "word": " هذه", "probability": 0.67138671875}, {"start": 935.03, "end": 935.51, "word": " يامام", "probability": 0.5802815755208334}], "temperature": 1.0}, {"id": 43, "seek": 95821, "start": 936.05, "end": 958.21, "text": "يبقى صارت هنا X وهي نفس X، يبقى دخلنا هذا الـX واشتغلنا عليها وهكذا. هو طبعا قليل ما تلجألها، لكن إن حدث، ممكن نلجأله وخلاصنا. طيب، لحد هنا، stop، انتهينا من هذا ال section، والآن بانتهاءنا من هذا ال section، ينتهي هذا ال chapter.", "tokens": [1829, 3555, 4587, 7578, 20328, 9640, 2655, 34105, 1783, 37037, 1829, 8717, 36178, 1783, 12399, 7251, 3555, 4587, 7578, 11778, 9778, 1211, 8315, 23758, 2423, 39184, 55, 4032, 33599, 2655, 17082, 1211, 8315, 25894, 11296, 37037, 4117, 15730, 13, 31439, 23032, 3555, 3615, 995, 12174, 20292, 1211, 19446, 6055, 1211, 7435, 10721, 1211, 11296, 12399, 44381, 36145, 11331, 3215, 12984, 12399, 3714, 43020, 8717, 1211, 7435, 10721, 43761, 4032, 9778, 1211, 33546, 8315, 13, 23032, 1829, 3555, 12399, 5296, 24401, 34105, 12399, 1590, 12399, 16472, 47395, 1829, 8315, 9154, 23758, 2423, 3541, 12399, 16070, 148, 48506, 4724, 7649, 47395, 16606, 8315, 9154, 23758, 2423, 3541, 12399, 7251, 29399, 3224, 1829, 23758, 2423, 7187, 13], "avg_logprob": -0.2158967427585436, "compression_ratio": 1.7706422018348624, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 936.05, "end": 936.65, "word": "يبقى", "probability": 0.7445068359375}, {"start": 936.65, "end": 938.05, "word": " صارت", "probability": 0.5828857421875}, {"start": 938.05, "end": 938.33, "word": " هنا", "probability": 0.73583984375}, {"start": 938.33, "end": 938.75, "word": " X", "probability": 0.8994140625}, {"start": 938.75, "end": 939.13, "word": " وهي", "probability": 0.93017578125}, {"start": 939.13, "end": 939.45, "word": " نفس", "probability": 0.994873046875}, {"start": 939.45, "end": 940.09, "word": " X،", "probability": 0.6143798828125}, {"start": 940.09, "end": 940.33, "word": " يبقى", "probability": 0.9193115234375}, {"start": 940.33, "end": 940.87, "word": " دخلنا", "probability": 0.9876708984375}, {"start": 940.87, "end": 941.07, "word": " هذا", "probability": 0.482177734375}, {"start": 941.07, "end": 941.33, "word": " الـX", "probability": 0.6057942708333334}, {"start": 941.33, "end": 941.85, "word": " واشتغلنا", "probability": 0.8968912760416666}, {"start": 941.85, "end": 942.11, "word": " عليها", "probability": 0.976318359375}, {"start": 942.11, "end": 942.93, "word": " وهكذا.", "probability": 0.8033854166666666}, {"start": 943.31, "end": 943.47, "word": " هو", "probability": 0.265380859375}, {"start": 943.47, "end": 943.89, "word": " طبعا", "probability": 0.9454345703125}, {"start": 943.89, "end": 944.45, "word": " قليل", "probability": 0.9474283854166666}, {"start": 944.45, "end": 944.61, "word": " ما", "probability": 0.96337890625}, {"start": 944.61, "end": 945.55, "word": " تلجألها،", "probability": 0.8390241350446429}, {"start": 945.55, "end": 945.79, "word": " لكن", "probability": 0.97607421875}, {"start": 945.79, "end": 946.19, "word": " إن", "probability": 0.85888671875}, {"start": 946.19, "end": 947.11, "word": " حدث،", "probability": 0.8736572265625}, {"start": 947.11, "end": 947.51, "word": " ممكن", "probability": 0.9892578125}, {"start": 947.51, "end": 948.09, "word": " نلجأله", "probability": 0.90400390625}, {"start": 948.09, "end": 948.67, "word": " وخلاصنا.", "probability": 0.94970703125}, {"start": 949.19, "end": 949.55, "word": " طيب،", "probability": 0.841796875}, {"start": 949.55, "end": 949.81, "word": " لحد", "probability": 0.8623046875}, {"start": 949.81, "end": 950.17, "word": " هنا،", "probability": 0.685791015625}, {"start": 950.17, "end": 950.99, "word": " stop،", "probability": 0.473388671875}, {"start": 950.99, "end": 951.55, "word": " انتهينا", "probability": 0.95849609375}, {"start": 951.55, "end": 951.71, "word": " من", "probability": 0.99267578125}, {"start": 951.71, "end": 951.97, "word": " هذا", "probability": 0.97216796875}, {"start": 951.97, "end": 952.11, "word": " ال", "probability": 0.8115234375}, {"start": 952.11, "end": 953.11, "word": " section،", "probability": 0.625732421875}, {"start": 953.11, "end": 953.95, "word": " والآن", "probability": 0.74267578125}, {"start": 953.95, "end": 955.15, "word": " بانتهاءنا", "probability": 0.86005859375}, {"start": 955.15, "end": 955.35, "word": " من", "probability": 0.98583984375}, {"start": 955.35, "end": 955.67, "word": " هذا", "probability": 0.97998046875}, {"start": 955.67, "end": 955.81, "word": " ال", "probability": 0.85791015625}, {"start": 955.81, "end": 956.39, "word": " section،", "probability": 0.65234375}, {"start": 956.39, "end": 957.19, "word": " ينتهي", "probability": 0.9825439453125}, {"start": 957.19, "end": 957.59, "word": " هذا", "probability": 0.9873046875}, {"start": 957.59, "end": 957.81, "word": " ال", "probability": 0.77880859375}, {"start": 957.81, "end": 958.21, "word": " chapter.", "probability": 0.89306640625}], "temperature": 1.0}, {"id": 44, "seek": 98106, "start": 960.0, "end": 981.06, "text": "بنروح لل chapter الجديد اللي هو techniques of integration الطاقة المختلفة للتكامل يبقى chapter تمانية techniques of integration", "tokens": [3555, 1863, 32887, 5016, 24976, 7187, 25724, 16254, 3215, 13672, 1829, 31439, 7512, 295, 10980, 41950, 995, 28671, 9673, 46456, 46538, 3660, 24976, 2655, 4117, 10943, 1211, 7251, 3555, 4587, 7578, 7187, 46811, 7649, 10632, 7512, 295, 10980], "avg_logprob": -0.18529647894394705, "compression_ratio": 1.3937007874015748, "no_speech_prob": 0.0, "words": [{"start": 960.0, "end": 960.7, "word": "بنروح", "probability": 0.8458251953125}, {"start": 960.7, "end": 960.96, "word": " لل", "probability": 0.75}, {"start": 960.96, "end": 961.32, "word": " chapter", "probability": 0.7041015625}, {"start": 961.32, "end": 962.26, "word": " الجديد", "probability": 0.7610677083333334}, {"start": 962.26, "end": 963.02, "word": " اللي", "probability": 0.5816650390625}, {"start": 963.02, "end": 963.2, "word": " هو", "probability": 0.978515625}, {"start": 963.2, "end": 964.02, "word": " techniques", "probability": 0.9013671875}, {"start": 964.02, "end": 964.54, "word": " of", "probability": 0.98291015625}, {"start": 964.54, "end": 965.9, "word": " integration", "probability": 0.96044921875}, {"start": 965.9, "end": 967.24, "word": " الطاقة", "probability": 0.6801350911458334}, {"start": 967.24, "end": 968.22, "word": " المختلفة", "probability": 0.99169921875}, {"start": 968.22, "end": 969.72, "word": " للتكامل", "probability": 0.95283203125}, {"start": 969.72, "end": 971.34, "word": " يبقى", "probability": 0.9036865234375}, {"start": 971.34, "end": 971.76, "word": " chapter", "probability": 0.74853515625}, {"start": 971.76, "end": 972.66, "word": " تمانية", "probability": 0.9152018229166666}, {"start": 972.66, "end": 974.88, "word": " techniques", "probability": 0.884765625}, {"start": 974.88, "end": 978.48, "word": " of", "probability": 0.98046875}, {"start": 978.48, "end": 981.06, "word": " integration", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 45, "seek": 100870, "start": 986.04, "end": 1008.7, "text": "يبقى طرق المختلفة لمان للتكامل أو طرق العملية لتكامل بعض الدوال المختلفة بإننا نيجي نذكر في البداية قبل أن نبدأ هذا الشرطر بما سبق دراسته من التكاملات يبقى بتروح أقول له some integral formulas", "tokens": [1829, 3555, 4587, 7578, 23032, 2288, 4587, 9673, 46456, 46538, 3660, 5296, 15042, 1863, 24976, 2655, 4117, 10943, 1211, 34051, 23032, 2288, 4587, 18863, 42213, 10632, 5296, 2655, 4117, 10943, 1211, 45030, 11242, 32748, 2407, 6027, 9673, 46456, 46538, 3660, 4724, 28814, 1863, 8315, 8717, 1829, 7435, 1829, 8717, 8848, 37983, 8978, 29739, 28259, 10632, 12174, 36150, 14739, 8717, 44510, 10721, 23758, 25124, 2288, 9566, 2288, 4724, 15042, 8608, 3555, 4587, 11778, 23557, 14851, 3224, 9154, 16712, 4117, 10943, 1211, 9307, 7251, 3555, 4587, 7578, 39894, 32887, 5016, 5551, 39648, 46740, 512, 11573, 30546], "avg_logprob": -0.20608552662949814, "compression_ratio": 1.6717171717171717, "no_speech_prob": 0.0, "words": [{"start": 986.04, "end": 986.52, "word": "يبقى", "probability": 0.62786865234375}, {"start": 986.52, "end": 986.96, "word": " طرق", "probability": 0.8450520833333334}, {"start": 986.96, "end": 987.8, "word": " المختلفة", "probability": 0.9713134765625}, {"start": 987.8, "end": 988.34, "word": " لمان", "probability": 0.6063639322916666}, {"start": 988.34, "end": 989.46, "word": " للتكامل", "probability": 0.93212890625}, {"start": 989.46, "end": 989.72, "word": " أو", "probability": 0.8232421875}, {"start": 989.72, "end": 990.12, "word": " طرق", "probability": 0.921875}, {"start": 990.12, "end": 990.76, "word": " العملية", "probability": 0.9261067708333334}, {"start": 990.76, "end": 991.58, "word": " لتكامل", "probability": 0.98037109375}, {"start": 991.58, "end": 992.12, "word": " بعض", "probability": 0.981201171875}, {"start": 992.12, "end": 993.0, "word": " الدوال", "probability": 0.9122721354166666}, {"start": 993.0, "end": 994.84, "word": " المختلفة", "probability": 0.9901123046875}, {"start": 994.84, "end": 995.8, "word": " بإننا", "probability": 0.45574951171875}, {"start": 995.8, "end": 996.04, "word": " نيجي", "probability": 0.7874755859375}, {"start": 996.04, "end": 996.56, "word": " نذكر", "probability": 0.9671223958333334}, {"start": 996.56, "end": 996.88, "word": " في", "probability": 0.9345703125}, {"start": 996.88, "end": 997.5, "word": " البداية", "probability": 0.9855143229166666}, {"start": 997.5, "end": 997.94, "word": " قبل", "probability": 0.990478515625}, {"start": 997.94, "end": 998.24, "word": " أن", "probability": 0.787109375}, {"start": 998.24, "end": 998.7, "word": " نبدأ", "probability": 0.978515625}, {"start": 998.7, "end": 999.04, "word": " هذا", "probability": 0.94775390625}, {"start": 999.04, "end": 999.7, "word": " الشرطر", "probability": 0.744537353515625}, {"start": 999.7, "end": 1000.12, "word": " بما", "probability": 0.989013671875}, {"start": 1000.12, "end": 1000.66, "word": " سبق", "probability": 0.9661458333333334}, {"start": 1000.66, "end": 1001.32, "word": " دراسته", "probability": 0.955078125}, {"start": 1001.32, "end": 1001.52, "word": " من", "probability": 0.96044921875}, {"start": 1001.52, "end": 1002.56, "word": " التكاملات", "probability": 0.972265625}, {"start": 1002.56, "end": 1003.32, "word": " يبقى", "probability": 0.8546142578125}, {"start": 1003.32, "end": 1003.72, "word": " بتروح", "probability": 0.7235107421875}, {"start": 1003.72, "end": 1004.12, "word": " أقول", "probability": 0.838623046875}, {"start": 1004.12, "end": 1004.52, "word": " له", "probability": 0.52783203125}, {"start": 1004.52, "end": 1004.94, "word": " some", "probability": 0.73095703125}, {"start": 1004.94, "end": 1006.92, "word": " integral", "probability": 0.8115234375}, {"start": 1006.92, "end": 1008.7, "word": " formulas", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 46, "seek": 103897, "start": 1016.51, "end": 1038.97, "text": "هذا الآن بدنا نذكر ببعض التكاملات اللى خدناها في الثانوية العامة وفي Calculus A وفي Calculus B لإن هذا الأساس اللى بنبنى عليه دراستنا في كل ال chapter هذا يبقى بنا بنبدأ بالتكاملات المشهورة اللى مرت علينا نيجي لأول تكامل كان تكامل constant في ال DX", "tokens": [3224, 15730, 6024, 48506, 47525, 8315, 8717, 8848, 37983, 4724, 3555, 3615, 11242, 16712, 4117, 10943, 1211, 9307, 13672, 7578, 16490, 3215, 8315, 11296, 8978, 6024, 104, 7649, 2407, 10632, 18863, 10943, 3660, 4032, 41185, 3511, 36002, 316, 4032, 41185, 3511, 36002, 363, 5296, 28814, 1863, 23758, 16247, 3794, 32277, 13672, 7578, 44945, 3555, 1863, 7578, 47356, 11778, 23557, 14851, 8315, 8978, 28242, 2423, 7187, 23758, 7251, 3555, 4587, 7578, 4724, 8315, 44945, 44510, 10721, 20666, 2655, 4117, 10943, 1211, 9307, 9673, 8592, 3224, 13063, 3660, 13672, 7578, 3714, 43500, 25894, 8315, 8717, 1829, 7435, 1829, 5296, 10721, 12610, 6055, 4117, 10943, 1211, 25961, 6055, 4117, 10943, 1211, 5754, 8978, 2423, 48817], "avg_logprob": -0.17657632954352726, "compression_ratio": 1.8325991189427313, "no_speech_prob": 0.0, "words": [{"start": 1016.51, "end": 1017.01, "word": "هذا", "probability": 0.76416015625}, {"start": 1017.01, "end": 1017.45, "word": " الآن", "probability": 0.6246337890625}, {"start": 1017.45, "end": 1017.97, "word": " بدنا", "probability": 0.7132568359375}, {"start": 1017.97, "end": 1018.45, "word": " نذكر", "probability": 0.9591471354166666}, {"start": 1018.45, "end": 1018.83, "word": " ببعض", "probability": 0.8812255859375}, {"start": 1018.83, "end": 1019.61, "word": " التكاملات", "probability": 0.928125}, {"start": 1019.61, "end": 1019.79, "word": " اللى", "probability": 0.71923828125}, {"start": 1019.79, "end": 1020.37, "word": " خدناها", "probability": 0.890625}, {"start": 1020.37, "end": 1020.53, "word": " في", "probability": 0.74365234375}, {"start": 1020.53, "end": 1021.05, "word": " الثانوية", "probability": 0.88466796875}, {"start": 1021.05, "end": 1021.81, "word": " العامة", "probability": 0.9912109375}, {"start": 1021.81, "end": 1022.15, "word": " وفي", "probability": 0.826171875}, {"start": 1022.15, "end": 1022.77, "word": " Calculus", "probability": 0.6925048828125}, {"start": 1022.77, "end": 1023.05, "word": " A", "probability": 0.8447265625}, {"start": 1023.05, "end": 1023.37, "word": " وفي", "probability": 0.640380859375}, {"start": 1023.37, "end": 1023.97, "word": " Calculus", "probability": 0.949462890625}, {"start": 1023.97, "end": 1024.35, "word": " B", "probability": 0.96142578125}, {"start": 1024.35, "end": 1025.15, "word": " لإن", "probability": 0.7821451822916666}, {"start": 1025.15, "end": 1025.41, "word": " هذا", "probability": 0.8369140625}, {"start": 1025.41, "end": 1025.89, "word": " الأساس", "probability": 0.958984375}, {"start": 1025.89, "end": 1026.05, "word": " اللى", "probability": 0.989990234375}, {"start": 1026.05, "end": 1026.69, "word": " بنبنى", "probability": 0.739990234375}, {"start": 1026.69, "end": 1026.91, "word": " عليه", "probability": 0.33349609375}, {"start": 1026.91, "end": 1027.63, "word": " دراستنا", "probability": 0.97265625}, {"start": 1027.63, "end": 1027.85, "word": " في", "probability": 0.826171875}, {"start": 1027.85, "end": 1028.43, "word": " كل", "probability": 0.98779296875}, {"start": 1028.43, "end": 1028.63, "word": " ال", "probability": 0.50830078125}, {"start": 1028.63, "end": 1028.97, "word": " chapter", "probability": 0.83349609375}, {"start": 1028.97, "end": 1029.51, "word": " هذا", "probability": 0.78515625}, {"start": 1029.51, "end": 1030.67, "word": " يبقى", "probability": 0.82220458984375}, {"start": 1030.67, "end": 1030.93, "word": " بنا", "probability": 0.714111328125}, {"start": 1030.93, "end": 1031.53, "word": " بنبدأ", "probability": 0.8072916666666666}, {"start": 1031.53, "end": 1032.49, "word": " بالتكاملات", "probability": 0.95556640625}, {"start": 1032.49, "end": 1033.29, "word": " المشهورة", "probability": 0.98984375}, {"start": 1033.29, "end": 1033.45, "word": " اللى", "probability": 0.97705078125}, {"start": 1033.45, "end": 1033.87, "word": " مرت", "probability": 0.922607421875}, {"start": 1033.87, "end": 1034.27, "word": " علينا", "probability": 0.92529296875}, {"start": 1034.27, "end": 1034.67, "word": " نيجي", "probability": 0.7781982421875}, {"start": 1034.67, "end": 1035.27, "word": " لأول", "probability": 0.93212890625}, {"start": 1035.27, "end": 1036.07, "word": " تكامل", "probability": 0.982666015625}, {"start": 1036.07, "end": 1036.39, "word": " كان", "probability": 0.943359375}, {"start": 1036.39, "end": 1037.23, "word": " تكامل", "probability": 0.977294921875}, {"start": 1037.23, "end": 1037.99, "word": " constant", "probability": 0.76953125}, {"start": 1037.99, "end": 1038.47, "word": " في", "probability": 0.89013671875}, {"start": 1038.47, "end": 1038.57, "word": " ال", "probability": 0.86474609375}, {"start": 1038.57, "end": 1038.97, "word": " DX", "probability": 0.41748046875}], "temperature": 1.0}, {"id": 47, "seek": 105867, "start": 1040.17, "end": 1058.67, "text": "بنقول ال constant بنطلعه برا تكامل و تكامل ال dx هي بx زاد constant c بعد هيك نمر اتنين بدنا تكامل ال ax to the power n dx حيث ان عدد حقيقي", "tokens": [3555, 1863, 39648, 2423, 5754, 44945, 9566, 1211, 3615, 3224, 4724, 23557, 6055, 4117, 10943, 1211, 4032, 6055, 4117, 10943, 1211, 2423, 30017, 39896, 4724, 87, 30767, 18513, 5754, 269, 39182, 39896, 4117, 8717, 29973, 1975, 2655, 1863, 9957, 47525, 8315, 6055, 4117, 10943, 1211, 2423, 6360, 281, 264, 1347, 297, 30017, 11331, 1829, 12984, 16472, 6225, 3215, 3215, 11331, 38436, 38436], "avg_logprob": -0.20362103553045363, "compression_ratio": 1.4825174825174825, "no_speech_prob": 0.0, "words": [{"start": 1040.17, "end": 1040.75, "word": "بنقول", "probability": 0.7379557291666666}, {"start": 1040.75, "end": 1040.95, "word": " ال", "probability": 0.85205078125}, {"start": 1040.95, "end": 1041.53, "word": " constant", "probability": 0.869140625}, {"start": 1041.53, "end": 1042.41, "word": " بنطلعه", "probability": 0.8130859375}, {"start": 1042.41, "end": 1042.75, "word": " برا", "probability": 0.68505859375}, {"start": 1042.75, "end": 1043.51, "word": " تكامل", "probability": 0.9381103515625}, {"start": 1043.51, "end": 1043.61, "word": " و", "probability": 0.30078125}, {"start": 1043.61, "end": 1044.29, "word": " تكامل", "probability": 0.9510498046875}, {"start": 1044.29, "end": 1044.47, "word": " ال", "probability": 0.712890625}, {"start": 1044.47, "end": 1044.93, "word": " dx", "probability": 0.6962890625}, {"start": 1044.93, "end": 1045.25, "word": " هي", "probability": 0.982421875}, {"start": 1045.25, "end": 1045.79, "word": " بx", "probability": 0.61474609375}, {"start": 1045.79, "end": 1046.57, "word": " زاد", "probability": 0.531494140625}, {"start": 1046.57, "end": 1047.65, "word": " constant", "probability": 0.89404296875}, {"start": 1047.65, "end": 1048.37, "word": " c", "probability": 0.6123046875}, {"start": 1048.37, "end": 1049.13, "word": " بعد", "probability": 0.7939453125}, {"start": 1049.13, "end": 1049.53, "word": " هيك", "probability": 0.830078125}, {"start": 1049.53, "end": 1049.93, "word": " نمر", "probability": 0.865478515625}, {"start": 1049.93, "end": 1050.51, "word": " اتنين", "probability": 0.8646240234375}, {"start": 1050.51, "end": 1051.45, "word": " بدنا", "probability": 0.789794921875}, {"start": 1051.45, "end": 1052.35, "word": " تكامل", "probability": 0.9891357421875}, {"start": 1052.35, "end": 1052.61, "word": " ال", "probability": 0.75048828125}, {"start": 1052.61, "end": 1053.27, "word": " ax", "probability": 0.74755859375}, {"start": 1053.27, "end": 1053.85, "word": " to", "probability": 0.408935546875}, {"start": 1053.85, "end": 1054.11, "word": " the", "probability": 0.9169921875}, {"start": 1054.11, "end": 1054.67, "word": " power", "probability": 0.8955078125}, {"start": 1054.67, "end": 1055.25, "word": " n", "probability": 0.74365234375}, {"start": 1055.25, "end": 1056.01, "word": " dx", "probability": 0.90185546875}, {"start": 1056.01, "end": 1056.85, "word": " حيث", "probability": 0.9895833333333334}, {"start": 1056.85, "end": 1057.19, "word": " ان", "probability": 0.82373046875}, {"start": 1057.19, "end": 1057.71, "word": " عدد", "probability": 0.9239908854166666}, {"start": 1057.71, "end": 1058.67, "word": " حقيقي", "probability": 0.9090169270833334}], "temperature": 1.0}, {"id": 48, "seek": 107732, "start": 1059.8, "end": 1077.32, "text": "بنقول ال A مقدار ثابت مالوش دعوة و Lexus N بنضيف لل أس واحد و بنقسم على الأس الجديد و بنقول زائد constant C هذا الكلام صحيح بشرط ان ال N ممنوع يتساوي", "tokens": [3555, 1863, 39648, 2423, 316, 3714, 28543, 9640, 38637, 16758, 2655, 3714, 6027, 2407, 8592, 11778, 3615, 2407, 3660, 4032, 24086, 301, 426, 44945, 11242, 33911, 24976, 5551, 3794, 36764, 24401, 4032, 44945, 4587, 38251, 15844, 16247, 3794, 25724, 16254, 3215, 4032, 44945, 39648, 30767, 16373, 3215, 5754, 383, 23758, 2423, 28820, 10943, 20328, 5016, 1829, 5016, 4724, 46309, 9566, 16472, 2423, 426, 3714, 27842, 45367, 7251, 2655, 3794, 995, 45865], "avg_logprob": -0.239149305348595, "compression_ratio": 1.4228571428571428, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1059.8, "end": 1060.44, "word": "بنقول", "probability": 0.7080078125}, {"start": 1060.44, "end": 1060.7, "word": " ال", "probability": 0.70263671875}, {"start": 1060.7, "end": 1060.92, "word": " A", "probability": 0.25244140625}, {"start": 1060.92, "end": 1061.48, "word": " مقدار", "probability": 0.9708658854166666}, {"start": 1061.48, "end": 1061.92, "word": " ثابت", "probability": 0.98583984375}, {"start": 1061.92, "end": 1062.32, "word": " مالوش", "probability": 0.7967529296875}, {"start": 1062.32, "end": 1062.98, "word": " دعوة", "probability": 0.765106201171875}, {"start": 1062.98, "end": 1063.12, "word": " و", "probability": 0.54052734375}, {"start": 1063.12, "end": 1063.86, "word": " Lexus", "probability": 0.3154296875}, {"start": 1063.86, "end": 1064.18, "word": " N", "probability": 0.740234375}, {"start": 1064.18, "end": 1064.94, "word": " بنضيف", "probability": 0.9187825520833334}, {"start": 1064.94, "end": 1065.28, "word": " لل", "probability": 0.91552734375}, {"start": 1065.28, "end": 1065.7, "word": " أس", "probability": 0.5916748046875}, {"start": 1065.7, "end": 1066.34, "word": " واحد", "probability": 0.94140625}, {"start": 1066.34, "end": 1066.9, "word": " و", "probability": 0.560546875}, {"start": 1066.9, "end": 1067.64, "word": " بنقسم", "probability": 0.9293619791666666}, {"start": 1067.64, "end": 1067.94, "word": " على", "probability": 0.80126953125}, {"start": 1067.94, "end": 1068.56, "word": " الأس", "probability": 0.92822265625}, {"start": 1068.56, "end": 1069.3, "word": " الجديد", "probability": 0.9757486979166666}, {"start": 1069.3, "end": 1069.42, "word": " و", "probability": 0.94140625}, {"start": 1069.42, "end": 1069.82, "word": " بنقول", "probability": 0.73779296875}, {"start": 1069.82, "end": 1070.5, "word": " زائد", "probability": 0.7008870442708334}, {"start": 1070.5, "end": 1071.12, "word": " constant", "probability": 0.34228515625}, {"start": 1071.12, "end": 1071.76, "word": " C", "probability": 0.82861328125}, {"start": 1071.76, "end": 1072.72, "word": " هذا", "probability": 0.849609375}, {"start": 1072.72, "end": 1073.4, "word": " الكلام", "probability": 0.9322916666666666}, {"start": 1073.4, "end": 1074.26, "word": " صحيح", "probability": 0.9981689453125}, {"start": 1074.26, "end": 1075.0, "word": " بشرط", "probability": 0.9078776041666666}, {"start": 1075.0, "end": 1075.34, "word": " ان", "probability": 0.477294921875}, {"start": 1075.34, "end": 1075.62, "word": " ال", "probability": 0.94873046875}, {"start": 1075.62, "end": 1075.92, "word": " N", "probability": 0.94384765625}, {"start": 1075.92, "end": 1076.56, "word": " ممنوع", "probability": 0.94921875}, {"start": 1076.56, "end": 1077.32, "word": " يتساوي", "probability": 0.9486328125}], "temperature": 1.0}, {"id": 49, "seek": 110233, "start": 1078.79, "end": 1102.33, "text": "طب لو حدث و سوى تسوى تسوى تسوى تسوى تسوى تسوى تسوى تسوى تسوى تسوى تسوى تسوى تسوى تسوى", "tokens": [9566, 3555, 45164, 11331, 3215, 12984, 4032, 8608, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578, 6055, 3794, 2407, 7578], "avg_logprob": -0.28824625798125764, "compression_ratio": 3.8974358974358974, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1078.79, "end": 1079.69, "word": "طب", "probability": 0.4070892333984375}, {"start": 1079.69, "end": 1080.01, "word": " لو", "probability": 0.927734375}, {"start": 1080.01, "end": 1080.67, "word": " حدث", "probability": 0.9435221354166666}, {"start": 1080.67, "end": 1081.31, "word": " و", "probability": 0.472412109375}, {"start": 1081.31, "end": 1081.85, "word": " سوى", "probability": 0.6427408854166666}, {"start": 1081.85, "end": 1082.33, "word": " تسوى", "probability": 0.5638427734375}, {"start": 1082.33, "end": 1082.81, "word": " تسوى", "probability": 0.764892578125}, {"start": 1082.81, "end": 1083.11, "word": " تسوى", "probability": 0.79736328125}, {"start": 1083.11, "end": 1083.11, "word": " تسوى", "probability": 0.8350830078125}, {"start": 1083.11, "end": 1083.23, "word": " تسوى", "probability": 0.8782958984375}, {"start": 1083.23, "end": 1083.29, "word": " تسوى", "probability": 0.9049072265625}, {"start": 1083.29, "end": 1083.31, "word": " تسوى", "probability": 0.9241943359375}, {"start": 1083.31, "end": 1083.45, "word": " تسوى", "probability": 0.937255859375}, {"start": 1083.45, "end": 1083.87, "word": " تسوى", "probability": 0.9478759765625}, {"start": 1083.87, "end": 1084.13, "word": " تسوى", "probability": 0.9571533203125}, {"start": 1084.13, "end": 1084.31, "word": " تسوى", "probability": 0.9625244140625}, {"start": 1084.31, "end": 1085.71, "word": " تسوى", "probability": 0.9674072265625}, {"start": 1085.71, "end": 1090.63, "word": " تسوى", "probability": 0.97119140625}, {"start": 1090.63, "end": 1102.33, "word": " تسوى", "probability": 0.974365234375}], "temperature": 1.0}, {"id": 50, "seek": 112910, "start": 1102.51, "end": 1129.11, "text": "يبقى صار هنا الـBest هو تفاضل المقام الـX تفاضلنا بواحد اللي موجودة في الـBest لما كان الـBest تفاضل المقام قلنا لن المقام إذا بناء أنا عليها بروح للنقطة الرابعة تكامل F prime of X على F of X كله DX إذا كان الـBest تفاضل المقام فنتيجة التكامل هي لن", "tokens": [1829, 3555, 4587, 7578, 20328, 9640, 34105, 2423, 39184, 33, 377, 31439, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 2423, 39184, 55, 6055, 5172, 46958, 1211, 8315, 4724, 14407, 24401, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 39184, 33, 377, 5296, 15042, 25961, 2423, 39184, 33, 377, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 12174, 1211, 8315, 5296, 1863, 9673, 4587, 10943, 11933, 15730, 44945, 16606, 41850, 25894, 11296, 4724, 32887, 5016, 24976, 1863, 47432, 3660, 34892, 16758, 27884, 6055, 4117, 10943, 1211, 479, 5835, 295, 1783, 15844, 479, 295, 1783, 28242, 3224, 48817, 11933, 15730, 25961, 2423, 39184, 33, 377, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 6156, 29399, 1829, 7435, 3660, 16712, 4117, 10943, 1211, 39896, 5296, 1863], "avg_logprob": -0.18417007964654047, "compression_ratio": 1.971563981042654, "no_speech_prob": 0.0, "words": [{"start": 1102.51, "end": 1102.99, "word": "يبقى", "probability": 0.704681396484375}, {"start": 1102.99, "end": 1103.45, "word": " صار", "probability": 0.4547119140625}, {"start": 1103.45, "end": 1103.91, "word": " هنا", "probability": 0.5908203125}, {"start": 1103.91, "end": 1105.41, "word": " الـBest", "probability": 0.44940185546875}, {"start": 1105.41, "end": 1105.67, "word": " هو", "probability": 0.939453125}, {"start": 1105.67, "end": 1106.63, "word": " تفاضل", "probability": 0.98486328125}, {"start": 1106.63, "end": 1107.63, "word": " المقام", "probability": 0.9855143229166666}, {"start": 1107.63, "end": 1107.93, "word": " الـX", "probability": 0.74658203125}, {"start": 1107.93, "end": 1108.49, "word": " تفاضلنا", "probability": 0.82099609375}, {"start": 1108.49, "end": 1108.81, "word": " بواحد", "probability": 0.9108072916666666}, {"start": 1108.81, "end": 1108.93, "word": " اللي", "probability": 0.87939453125}, {"start": 1108.93, "end": 1109.39, "word": " موجودة", "probability": 0.92138671875}, {"start": 1109.39, "end": 1109.45, "word": " في", "probability": 0.8564453125}, {"start": 1109.45, "end": 1109.81, "word": " الـBest", "probability": 0.9146728515625}, {"start": 1109.81, "end": 1110.61, "word": " لما", "probability": 0.79931640625}, {"start": 1110.61, "end": 1110.97, "word": " كان", "probability": 0.9794921875}, {"start": 1110.97, "end": 1111.33, "word": " الـBest", "probability": 0.97119140625}, {"start": 1111.33, "end": 1111.73, "word": " تفاضل", "probability": 0.9857177734375}, {"start": 1111.73, "end": 1112.09, "word": " المقام", "probability": 0.96337890625}, {"start": 1112.09, "end": 1112.49, "word": " قلنا", "probability": 0.7568359375}, {"start": 1112.49, "end": 1113.07, "word": " لن", "probability": 0.4803466796875}, {"start": 1113.07, "end": 1114.15, "word": " المقام", "probability": 0.9807942708333334}, {"start": 1114.15, "end": 1114.93, "word": " إذا", "probability": 0.560302734375}, {"start": 1114.93, "end": 1115.43, "word": " بناء", "probability": 0.688232421875}, {"start": 1115.43, "end": 1115.61, "word": " أنا", "probability": 0.498291015625}, {"start": 1115.61, "end": 1115.93, "word": " عليها", "probability": 0.942626953125}, {"start": 1115.93, "end": 1116.31, "word": " بروح", "probability": 0.9309895833333334}, {"start": 1116.31, "end": 1117.21, "word": " للنقطة", "probability": 0.9541015625}, {"start": 1117.21, "end": 1117.73, "word": " الرابعة", "probability": 0.9674479166666666}, {"start": 1117.73, "end": 1118.71, "word": " تكامل", "probability": 0.93994140625}, {"start": 1118.71, "end": 1119.23, "word": " F", "probability": 0.72900390625}, {"start": 1119.23, "end": 1119.89, "word": " prime", "probability": 0.481201171875}, {"start": 1119.89, "end": 1120.27, "word": " of", "probability": 0.96240234375}, {"start": 1120.27, "end": 1120.69, "word": " X", "probability": 0.97900390625}, {"start": 1120.69, "end": 1121.55, "word": " على", "probability": 0.765625}, {"start": 1121.55, "end": 1122.05, "word": " F", "probability": 0.97216796875}, {"start": 1122.05, "end": 1122.47, "word": " of", "probability": 0.96533203125}, {"start": 1122.47, "end": 1122.95, "word": " X", "probability": 0.99365234375}, {"start": 1122.95, "end": 1123.47, "word": " كله", "probability": 0.9677734375}, {"start": 1123.47, "end": 1123.85, "word": " DX", "probability": 0.91015625}, {"start": 1123.85, "end": 1124.63, "word": " إذا", "probability": 0.9775390625}, {"start": 1124.63, "end": 1125.01, "word": " كان", "probability": 0.99609375}, {"start": 1125.01, "end": 1125.45, "word": " الـBest", "probability": 0.9696044921875}, {"start": 1125.45, "end": 1125.93, "word": " تفاضل", "probability": 0.9857177734375}, {"start": 1125.93, "end": 1126.55, "word": " المقام", "probability": 0.9939778645833334}, {"start": 1126.55, "end": 1127.49, "word": " فنتيجة", "probability": 0.975}, {"start": 1127.49, "end": 1128.27, "word": " التكامل", "probability": 0.9716796875}, {"start": 1128.27, "end": 1128.51, "word": " هي", "probability": 0.95751953125}, {"start": 1128.51, "end": 1129.11, "word": " لن", "probability": 0.59735107421875}], "temperature": 1.0}, {"id": 51, "seek": 114439, "start": 1129.37, "end": 1144.39, "text": "absolute value للمقام زائد constant C نقطة الخامسة تكامل E أس AX في DX ال exponential function", "tokens": [17243, 401, 1169, 2158, 5296, 19528, 4587, 10943, 30767, 16373, 3215, 5754, 383, 8717, 47432, 3660, 33962, 10943, 3794, 3660, 6055, 4117, 10943, 1211, 462, 5551, 3794, 316, 55, 8978, 48817, 2423, 21510, 2445], "avg_logprob": -0.3080357040677752, "compression_ratio": 1.0413223140495869, "no_speech_prob": 0.0, "words": [{"start": 1129.37, "end": 1130.59, "word": "absolute", "probability": 0.672607421875}, {"start": 1130.59, "end": 1131.05, "word": " value", "probability": 0.98876953125}, {"start": 1131.05, "end": 1132.05, "word": " للمقام", "probability": 0.89501953125}, {"start": 1132.05, "end": 1133.23, "word": " زائد", "probability": 0.6505533854166666}, {"start": 1133.23, "end": 1133.87, "word": " constant", "probability": 0.63427734375}, {"start": 1133.87, "end": 1134.91, "word": " C", "probability": 0.450927734375}, {"start": 1134.91, "end": 1136.67, "word": " نقطة", "probability": 0.6866048177083334}, {"start": 1136.67, "end": 1137.63, "word": " الخامسة", "probability": 0.9564208984375}, {"start": 1137.63, "end": 1138.85, "word": " تكامل", "probability": 0.9600830078125}, {"start": 1138.85, "end": 1139.37, "word": " E", "probability": 0.64013671875}, {"start": 1139.37, "end": 1139.99, "word": " أس", "probability": 0.5003662109375}, {"start": 1139.99, "end": 1141.13, "word": " AX", "probability": 0.5557861328125}, {"start": 1141.13, "end": 1141.41, "word": " في", "probability": 0.74267578125}, {"start": 1141.41, "end": 1142.11, "word": " DX", "probability": 0.89111328125}, {"start": 1142.11, "end": 1143.05, "word": " ال", "probability": 0.61279296875}, {"start": 1143.05, "end": 1143.63, "word": " exponential", "probability": 0.65869140625}, {"start": 1143.63, "end": 1144.39, "word": " function", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 52, "seek": 116751, "start": 1145.25, "end": 1167.51, "text": "طبعا بالاصل زي ما انت شايف من الدرجة الأولى في x لكن مضطر في مين هي constant يبقى تكاملها كما هي مقسومة على a زائد constant c ستة من تكامل ال x exponentially التانية a to the power x dx ويساوي", "tokens": [9566, 3555, 3615, 995, 20666, 33546, 1211, 30767, 1829, 19446, 16472, 2655, 13412, 995, 33911, 9154, 32748, 47341, 3660, 16247, 12610, 7578, 8978, 2031, 44381, 3714, 11242, 9566, 2288, 8978, 3714, 9957, 39896, 5754, 7251, 3555, 4587, 7578, 6055, 4117, 10943, 1211, 11296, 9122, 15042, 39896, 3714, 4587, 3794, 20498, 3660, 15844, 257, 30767, 16373, 3215, 5754, 269, 8608, 2655, 3660, 9154, 6055, 4117, 10943, 1211, 2423, 2031, 37330, 16712, 7649, 10632, 257, 281, 264, 1347, 2031, 30017, 4032, 1829, 3794, 995, 45865], "avg_logprob": -0.2691592254808971, "compression_ratio": 1.5153061224489797, "no_speech_prob": 0.0, "words": [{"start": 1145.25, "end": 1145.69, "word": "طبعا", "probability": 0.84112548828125}, {"start": 1145.69, "end": 1146.13, "word": " بالاصل", "probability": 0.5298665364583334}, {"start": 1146.13, "end": 1146.21, "word": " زي", "probability": 0.695068359375}, {"start": 1146.21, "end": 1146.33, "word": " ما", "probability": 0.90380859375}, {"start": 1146.33, "end": 1146.49, "word": " انت", "probability": 0.86767578125}, {"start": 1146.49, "end": 1146.89, "word": " شايف", "probability": 0.9734700520833334}, {"start": 1146.89, "end": 1147.13, "word": " من", "probability": 0.927734375}, {"start": 1147.13, "end": 1148.03, "word": " الدرجة", "probability": 0.95166015625}, {"start": 1148.03, "end": 1148.53, "word": " الأولى", "probability": 0.9298502604166666}, {"start": 1148.53, "end": 1148.69, "word": " في", "probability": 0.95751953125}, {"start": 1148.69, "end": 1148.99, "word": " x", "probability": 0.431884765625}, {"start": 1148.99, "end": 1149.31, "word": " لكن", "probability": 0.849609375}, {"start": 1149.31, "end": 1149.71, "word": " مضطر", "probability": 0.5596923828125}, {"start": 1149.71, "end": 1149.89, "word": " في", "probability": 0.83203125}, {"start": 1149.89, "end": 1150.31, "word": " مين", "probability": 0.69189453125}, {"start": 1150.31, "end": 1150.89, "word": " هي", "probability": 0.326171875}, {"start": 1150.89, "end": 1151.47, "word": " constant", "probability": 0.92333984375}, {"start": 1151.47, "end": 1152.47, "word": " يبقى", "probability": 0.934326171875}, {"start": 1152.47, "end": 1153.43, "word": " تكاملها", "probability": 0.908984375}, {"start": 1153.43, "end": 1154.11, "word": " كما", "probability": 0.922607421875}, {"start": 1154.11, "end": 1154.69, "word": " هي", "probability": 0.9091796875}, {"start": 1154.69, "end": 1156.05, "word": " مقسومة", "probability": 0.74716796875}, {"start": 1156.05, "end": 1156.39, "word": " على", "probability": 0.8935546875}, {"start": 1156.39, "end": 1156.89, "word": " a", "probability": 0.767578125}, {"start": 1156.89, "end": 1157.77, "word": " زائد", "probability": 0.8377278645833334}, {"start": 1157.77, "end": 1158.35, "word": " constant", "probability": 0.919921875}, {"start": 1158.35, "end": 1159.01, "word": " c", "probability": 0.611328125}, {"start": 1159.01, "end": 1160.11, "word": " ستة", "probability": 0.8474934895833334}, {"start": 1160.11, "end": 1160.65, "word": " من", "probability": 0.208984375}, {"start": 1160.65, "end": 1161.35, "word": " تكامل", "probability": 0.8848876953125}, {"start": 1161.35, "end": 1161.47, "word": " ال", "probability": 0.93359375}, {"start": 1161.47, "end": 1161.69, "word": " x", "probability": 0.491943359375}, {"start": 1161.69, "end": 1162.35, "word": " exponentially", "probability": 0.71630859375}, {"start": 1162.35, "end": 1163.29, "word": " التانية", "probability": 0.8802083333333334}, {"start": 1163.29, "end": 1163.93, "word": " a", "probability": 0.8408203125}, {"start": 1163.93, "end": 1164.07, "word": " to", "probability": 0.84228515625}, {"start": 1164.07, "end": 1164.29, "word": " the", "probability": 0.9150390625}, {"start": 1164.29, "end": 1164.81, "word": " power", "probability": 0.87451171875}, {"start": 1164.81, "end": 1165.35, "word": " x", "probability": 0.84423828125}, {"start": 1165.35, "end": 1166.19, "word": " dx", "probability": 0.8251953125}, {"start": 1166.19, "end": 1167.51, "word": " ويساوي", "probability": 0.680908203125}], "temperature": 1.0}, {"id": 53, "seek": 118909, "start": 1168.1, "end": 1189.1, "text": "الـ Exponential كما هي مقسومة عالميا على لن الـ A زائد constant C طبعا هذا في الsection 7 تلاتة كالكلص B كالكلص B كالكلص B هذا الاتنتين كالكلص A و ثانوية عامة طيب نجي نمرح 7", "tokens": [6027, 39184, 21391, 266, 2549, 9122, 15042, 39896, 3714, 4587, 3794, 20498, 3660, 6225, 45340, 25528, 15844, 5296, 1863, 2423, 39184, 316, 30767, 16373, 3215, 5754, 383, 23032, 3555, 3615, 995, 23758, 8978, 2423, 11963, 1614, 6055, 1211, 9307, 3660, 9122, 6027, 28820, 9381, 363, 9122, 6027, 28820, 9381, 363, 9122, 6027, 28820, 9381, 363, 23758, 2423, 9307, 29399, 9957, 9122, 6027, 28820, 9381, 316, 4032, 38637, 7649, 2407, 10632, 6225, 10943, 3660, 23032, 1829, 3555, 8717, 7435, 1829, 8717, 29973, 5016, 1614], "avg_logprob": -0.30543154797383715, "compression_ratio": 1.5303867403314917, "no_speech_prob": 0.0, "words": [{"start": 1168.1, "end": 1168.5, "word": "الـ", "probability": 0.66552734375}, {"start": 1168.5, "end": 1169.44, "word": " Exponential", "probability": 0.75732421875}, {"start": 1169.44, "end": 1170.08, "word": " كما", "probability": 0.932373046875}, {"start": 1170.08, "end": 1170.48, "word": " هي", "probability": 0.93359375}, {"start": 1170.48, "end": 1171.06, "word": " مقسومة", "probability": 0.790869140625}, {"start": 1171.06, "end": 1171.64, "word": " عالميا", "probability": 0.9361979166666666}, {"start": 1171.64, "end": 1172.68, "word": " على", "probability": 0.73486328125}, {"start": 1172.68, "end": 1173.22, "word": " لن", "probability": 0.808837890625}, {"start": 1173.22, "end": 1173.76, "word": " الـ", "probability": 0.625244140625}, {"start": 1173.76, "end": 1173.96, "word": " A", "probability": 0.388671875}, {"start": 1173.96, "end": 1174.9, "word": " زائد", "probability": 0.73486328125}, {"start": 1174.9, "end": 1175.58, "word": " constant", "probability": 0.466552734375}, {"start": 1175.58, "end": 1176.24, "word": " C", "probability": 0.86083984375}, {"start": 1176.24, "end": 1177.1, "word": " طبعا", "probability": 0.83599853515625}, {"start": 1177.1, "end": 1177.34, "word": " هذا", "probability": 0.67626953125}, {"start": 1177.34, "end": 1177.52, "word": " في", "probability": 0.83251953125}, {"start": 1177.52, "end": 1177.82, "word": " الsection", "probability": 0.4351806640625}, {"start": 1177.82, "end": 1178.24, "word": " 7", "probability": 0.56005859375}, {"start": 1178.24, "end": 1179.38, "word": " تلاتة", "probability": 0.76336669921875}, {"start": 1179.38, "end": 1180.44, "word": " كالكلص", "probability": 0.608978271484375}, {"start": 1180.44, "end": 1180.78, "word": " B", "probability": 0.79833984375}, {"start": 1180.78, "end": 1181.68, "word": " كالكلص", "probability": 0.867431640625}, {"start": 1181.68, "end": 1182.02, "word": " B", "probability": 0.9365234375}, {"start": 1182.02, "end": 1182.94, "word": " كالكلص", "probability": 0.9619140625}, {"start": 1182.94, "end": 1183.38, "word": " B", "probability": 0.953125}, {"start": 1183.38, "end": 1183.8, "word": " هذا", "probability": 0.64453125}, {"start": 1183.8, "end": 1184.56, "word": " الاتنتين", "probability": 0.68359375}, {"start": 1184.56, "end": 1185.3, "word": " كالكلص", "probability": 0.9779052734375}, {"start": 1185.3, "end": 1185.7, "word": " A", "probability": 0.8681640625}, {"start": 1185.7, "end": 1185.98, "word": " و", "probability": 0.80859375}, {"start": 1185.98, "end": 1186.56, "word": " ثانوية", "probability": 0.7958984375}, {"start": 1186.56, "end": 1187.1, "word": " عامة", "probability": 0.9962565104166666}, {"start": 1187.1, "end": 1188.1, "word": " طيب", "probability": 0.8486328125}, {"start": 1188.1, "end": 1188.42, "word": " نجي", "probability": 0.4668782552083333}, {"start": 1188.42, "end": 1188.8, "word": " نمرح", "probability": 0.84521484375}, {"start": 1188.8, "end": 1189.1, "word": " 7", "probability": 0.366455078125}], "temperature": 1.0}, {"id": 54, "seek": 121279, "start": 1190.63, "end": 1212.79, "text": "بننتقل الان إلى الدوالي المثلثية عندك تكامل ل sin ax dx طبعا ال ax كلها الزاوية والa كولستن يبقى سالب واحد على a cosine ax زائد كولستن c", "tokens": [3555, 1863, 29399, 4587, 1211, 2423, 7649, 30731, 32748, 2407, 6027, 1829, 9673, 12984, 1211, 12984, 10632, 43242, 4117, 6055, 4117, 10943, 1211, 5296, 3343, 6360, 30017, 23032, 3555, 3615, 995, 2423, 6360, 28242, 11296, 6024, 110, 995, 2407, 10632, 16070, 64, 9122, 12610, 14851, 1863, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 36764, 24401, 15844, 257, 23565, 6360, 30767, 16373, 3215, 9122, 12610, 14851, 1863, 269], "avg_logprob": -0.2509191211532144, "compression_ratio": 1.490066225165563, "no_speech_prob": 0.0, "words": [{"start": 1190.63, "end": 1191.41, "word": "بننتقل", "probability": 0.70419921875}, {"start": 1191.41, "end": 1191.79, "word": " الان", "probability": 0.70751953125}, {"start": 1191.79, "end": 1192.07, "word": " إلى", "probability": 0.45068359375}, {"start": 1192.07, "end": 1192.83, "word": " الدوالي", "probability": 0.73095703125}, {"start": 1192.83, "end": 1194.29, "word": " المثلثية", "probability": 0.95927734375}, {"start": 1194.29, "end": 1195.61, "word": " عندك", "probability": 0.95947265625}, {"start": 1195.61, "end": 1196.59, "word": " تكامل", "probability": 0.986328125}, {"start": 1196.59, "end": 1197.19, "word": " ل", "probability": 0.92236328125}, {"start": 1197.19, "end": 1197.93, "word": " sin", "probability": 0.182861328125}, {"start": 1197.93, "end": 1199.07, "word": " ax", "probability": 0.458740234375}, {"start": 1199.07, "end": 1200.47, "word": " dx", "probability": 0.8974609375}, {"start": 1200.47, "end": 1200.99, "word": " طبعا", "probability": 0.8995361328125}, {"start": 1200.99, "end": 1201.13, "word": " ال", "probability": 0.87890625}, {"start": 1201.13, "end": 1201.55, "word": " ax", "probability": 0.56005859375}, {"start": 1201.55, "end": 1202.03, "word": " كلها", "probability": 0.9853515625}, {"start": 1202.03, "end": 1202.59, "word": " الزاوية", "probability": 0.90400390625}, {"start": 1202.59, "end": 1203.67, "word": " والa", "probability": 0.53466796875}, {"start": 1203.67, "end": 1204.45, "word": " كولستن", "probability": 0.55670166015625}, {"start": 1204.45, "end": 1205.71, "word": " يبقى", "probability": 0.967529296875}, {"start": 1205.71, "end": 1206.35, "word": " سالب", "probability": 0.826171875}, {"start": 1206.35, "end": 1207.07, "word": " واحد", "probability": 0.944580078125}, {"start": 1207.07, "end": 1207.59, "word": " على", "probability": 0.75927734375}, {"start": 1207.59, "end": 1208.17, "word": " a", "probability": 0.88427734375}, {"start": 1208.17, "end": 1209.41, "word": " cosine", "probability": 0.62109375}, {"start": 1209.41, "end": 1210.77, "word": " ax", "probability": 0.91552734375}, {"start": 1210.77, "end": 1211.53, "word": " زائد", "probability": 0.8404947916666666}, {"start": 1211.53, "end": 1212.43, "word": " كولستن", "probability": 0.9053955078125}, {"start": 1212.43, "end": 1212.79, "word": " c", "probability": 0.693359375}], "temperature": 1.0}, {"id": 55, "seek": 122891, "start": 1213.55, "end": 1228.91, "text": "ثمانية بدنا تكامل بدل ال sign بنخليه cosine ax dx يبقى واحد على a sine ax زائد constant C", "tokens": [12984, 2304, 7649, 10632, 47525, 8315, 6055, 4117, 10943, 1211, 47525, 1211, 2423, 1465, 44945, 9778, 20292, 3224, 23565, 6360, 30017, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 257, 18609, 6360, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.3813344691250775, "compression_ratio": 1.1504424778761062, "no_speech_prob": 0.0, "words": [{"start": 1213.55, "end": 1214.45, "word": "ثمانية", "probability": 0.693695068359375}, {"start": 1214.45, "end": 1215.29, "word": " بدنا", "probability": 0.27325439453125}, {"start": 1215.29, "end": 1216.21, "word": " تكامل", "probability": 0.87353515625}, {"start": 1216.21, "end": 1217.01, "word": " بدل", "probability": 0.95166015625}, {"start": 1217.01, "end": 1217.23, "word": " ال", "probability": 0.85107421875}, {"start": 1217.23, "end": 1217.67, "word": " sign", "probability": 0.372314453125}, {"start": 1217.67, "end": 1218.97, "word": " بنخليه", "probability": 0.8218994140625}, {"start": 1218.97, "end": 1219.59, "word": " cosine", "probability": 0.69482421875}, {"start": 1219.59, "end": 1220.77, "word": " ax", "probability": 0.388671875}, {"start": 1220.77, "end": 1221.67, "word": " dx", "probability": 0.869140625}, {"start": 1221.67, "end": 1222.53, "word": " يبقى", "probability": 0.8951416015625}, {"start": 1222.53, "end": 1223.07, "word": " واحد", "probability": 0.94921875}, {"start": 1223.07, "end": 1223.59, "word": " على", "probability": 0.52294921875}, {"start": 1223.59, "end": 1224.09, "word": " a", "probability": 0.70263671875}, {"start": 1224.09, "end": 1225.25, "word": " sine", "probability": 0.560546875}, {"start": 1225.25, "end": 1226.65, "word": " ax", "probability": 0.89990234375}, {"start": 1226.65, "end": 1227.69, "word": " زائد", "probability": 0.7349446614583334}, {"start": 1227.69, "end": 1228.27, "word": " constant", "probability": 0.6943359375}, {"start": 1228.27, "end": 1228.91, "word": " C", "probability": 0.50341796875}], "temperature": 1.0}, {"id": 56, "seek": 125793, "start": 1230.47, "end": 1257.93, "text": "نمرة تسعة نتكامل لتان ال X DX التي هي نسبة المثلثية التالتة نعمل تان هي sin على cosine بصير البسط هو تفاضل المقام بس بده شرف سالب حسبناها قبل ذلك ناقص لل absolute value ل cosine X زائد constant C", "tokens": [1863, 29973, 3660, 6055, 3794, 27884, 8717, 2655, 4117, 10943, 1211, 5296, 2655, 7649, 2423, 1783, 48817, 38392, 39896, 8717, 35457, 3660, 9673, 12984, 1211, 12984, 10632, 16712, 6027, 2655, 3660, 8717, 25957, 1211, 6055, 7649, 39896, 3343, 15844, 23565, 4724, 9381, 13546, 29739, 3794, 9566, 31439, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 4724, 3794, 47525, 3224, 13412, 28480, 8608, 6027, 3555, 11331, 35457, 8315, 11296, 12174, 36150, 29910, 23275, 8717, 995, 4587, 9381, 24976, 8236, 2158, 5296, 23565, 1783, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.30046696841031656, "compression_ratio": 1.55, "no_speech_prob": 0.0, "words": [{"start": 1230.47, "end": 1231.09, "word": "نمرة", "probability": 0.3203938802083333}, {"start": 1231.09, "end": 1231.51, "word": " تسعة", "probability": 0.8587239583333334}, {"start": 1231.51, "end": 1233.37, "word": " نتكامل", "probability": 0.7568359375}, {"start": 1233.37, "end": 1234.69, "word": " لتان", "probability": 0.84375}, {"start": 1234.69, "end": 1234.91, "word": " ال", "probability": 0.75927734375}, {"start": 1234.91, "end": 1235.47, "word": " X", "probability": 0.525390625}, {"start": 1235.47, "end": 1236.37, "word": " DX", "probability": 0.7646484375}, {"start": 1236.37, "end": 1237.21, "word": " التي", "probability": 0.1837158203125}, {"start": 1237.21, "end": 1237.33, "word": " هي", "probability": 0.94091796875}, {"start": 1237.33, "end": 1237.79, "word": " نسبة", "probability": 0.8844401041666666}, {"start": 1237.79, "end": 1238.71, "word": " المثلثية", "probability": 0.9341796875}, {"start": 1238.71, "end": 1239.45, "word": " التالتة", "probability": 0.9471435546875}, {"start": 1239.45, "end": 1240.41, "word": " نعمل", "probability": 0.6393229166666666}, {"start": 1240.41, "end": 1241.65, "word": " تان", "probability": 0.73779296875}, {"start": 1241.65, "end": 1242.15, "word": " هي", "probability": 0.314697265625}, {"start": 1242.15, "end": 1242.73, "word": " sin", "probability": 0.297119140625}, {"start": 1242.73, "end": 1243.15, "word": " على", "probability": 0.666015625}, {"start": 1243.15, "end": 1244.11, "word": " cosine", "probability": 0.4365234375}, {"start": 1244.11, "end": 1245.03, "word": " بصير", "probability": 0.7392578125}, {"start": 1245.03, "end": 1245.51, "word": " البسط", "probability": 0.9111328125}, {"start": 1245.51, "end": 1245.67, "word": " هو", "probability": 0.626953125}, {"start": 1245.67, "end": 1246.41, "word": " تفاضل", "probability": 0.7708740234375}, {"start": 1246.41, "end": 1247.15, "word": " المقام", "probability": 0.9876302083333334}, {"start": 1247.15, "end": 1247.83, "word": " بس", "probability": 0.764404296875}, {"start": 1247.83, "end": 1248.21, "word": " بده", "probability": 0.614013671875}, {"start": 1248.21, "end": 1248.63, "word": " شرف", "probability": 0.81787109375}, {"start": 1248.63, "end": 1249.19, "word": " سالب", "probability": 0.9241536458333334}, {"start": 1249.19, "end": 1250.23, "word": " حسبناها", "probability": 0.9659423828125}, {"start": 1250.23, "end": 1250.67, "word": " قبل", "probability": 0.988037109375}, {"start": 1250.67, "end": 1251.31, "word": " ذلك", "probability": 0.992431640625}, {"start": 1251.31, "end": 1252.31, "word": " ناقص", "probability": 0.9154052734375}, {"start": 1252.31, "end": 1252.59, "word": " لل", "probability": 0.4169921875}, {"start": 1252.59, "end": 1253.43, "word": " absolute", "probability": 0.5654296875}, {"start": 1253.43, "end": 1254.25, "word": " value", "probability": 0.9892578125}, {"start": 1254.25, "end": 1254.81, "word": " ل", "probability": 0.86181640625}, {"start": 1254.81, "end": 1255.37, "word": " cosine", "probability": 0.2044677734375}, {"start": 1255.37, "end": 1255.93, "word": " X", "probability": 0.9580078125}, {"start": 1255.93, "end": 1256.59, "word": " زائد", "probability": 0.8748372395833334}, {"start": 1256.59, "end": 1257.23, "word": " constant", "probability": 0.92626953125}, {"start": 1257.23, "end": 1257.93, "word": " C", "probability": 0.9453125}], "temperature": 1.0}, {"id": 57, "seek": 126772, "start": 1258.4, "end": 1267.72, "text": "أو المكافئة لها اللي لم absolute value لسك X زائد constant C", "tokens": [10721, 2407, 9673, 4117, 31845, 19986, 3660, 5296, 11296, 13672, 1829, 32767, 8236, 2158, 5296, 3794, 4117, 1783, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.307291679084301, "compression_ratio": 1.011764705882353, "no_speech_prob": 0.0, "words": [{"start": 1258.4, "end": 1258.84, "word": "أو", "probability": 0.6717529296875}, {"start": 1258.84, "end": 1260.5, "word": " المكافئة", "probability": 0.94345703125}, {"start": 1260.5, "end": 1261.02, "word": " لها", "probability": 0.885009765625}, {"start": 1261.02, "end": 1261.68, "word": " اللي", "probability": 0.716064453125}, {"start": 1261.68, "end": 1262.34, "word": " لم", "probability": 0.462158203125}, {"start": 1262.34, "end": 1263.46, "word": " absolute", "probability": 0.77099609375}, {"start": 1263.46, "end": 1264.24, "word": " value", "probability": 0.98779296875}, {"start": 1264.24, "end": 1264.86, "word": " لسك", "probability": 0.8448893229166666}, {"start": 1264.86, "end": 1265.42, "word": " X", "probability": 0.4111328125}, {"start": 1265.42, "end": 1266.54, "word": " زائد", "probability": 0.7861328125}, {"start": 1266.54, "end": 1267.08, "word": " constant", "probability": 0.64404296875}, {"start": 1267.08, "end": 1267.72, "word": " C", "probability": 0.890625}], "temperature": 1.0}, {"id": 58, "seek": 129513, "start": 1273.61, "end": 1295.13, "text": "بدنا تكامل لقطان ال X DX قصين على صين البسطى فضل المقام يبجلن absolute value لصين ال X زائد constant C حد عشر وصلنا لتكامل لسكت ال X DX", "tokens": [3555, 3215, 8315, 6055, 4117, 10943, 1211, 5296, 47432, 7649, 2423, 1783, 48817, 12174, 9381, 9957, 15844, 20328, 9957, 29739, 3794, 9566, 7578, 6156, 11242, 1211, 9673, 4587, 10943, 7251, 3555, 7435, 1211, 1863, 8236, 2158, 5296, 9381, 9957, 2423, 1783, 30767, 16373, 3215, 5754, 383, 11331, 3215, 6225, 46309, 4032, 36520, 8315, 5296, 2655, 4117, 10943, 1211, 5296, 3794, 4117, 2655, 2423, 1783, 48817], "avg_logprob": -0.2632575820792805, "compression_ratio": 1.42, "no_speech_prob": 0.0, "words": [{"start": 1273.61, "end": 1274.05, "word": "بدنا", "probability": 0.4283040364583333}, {"start": 1274.05, "end": 1274.97, "word": " تكامل", "probability": 0.94384765625}, {"start": 1274.97, "end": 1276.19, "word": " لقطان", "probability": 0.7550455729166666}, {"start": 1276.19, "end": 1276.43, "word": " ال", "probability": 0.65771484375}, {"start": 1276.43, "end": 1276.97, "word": " X", "probability": 0.5478515625}, {"start": 1276.97, "end": 1277.89, "word": " DX", "probability": 0.83251953125}, {"start": 1277.89, "end": 1278.91, "word": " قصين", "probability": 0.6791178385416666}, {"start": 1278.91, "end": 1279.13, "word": " على", "probability": 0.6572265625}, {"start": 1279.13, "end": 1279.49, "word": " صين", "probability": 0.88330078125}, {"start": 1279.49, "end": 1280.07, "word": " البسطى", "probability": 0.7955322265625}, {"start": 1280.07, "end": 1280.43, "word": " فضل", "probability": 0.9013671875}, {"start": 1280.43, "end": 1281.15, "word": " المقام", "probability": 0.9814453125}, {"start": 1281.15, "end": 1282.53, "word": " يبجلن", "probability": 0.706982421875}, {"start": 1282.53, "end": 1283.55, "word": " absolute", "probability": 0.796875}, {"start": 1283.55, "end": 1284.47, "word": " value", "probability": 0.9931640625}, {"start": 1284.47, "end": 1285.59, "word": " لصين", "probability": 0.9708658854166666}, {"start": 1285.59, "end": 1285.81, "word": " ال", "probability": 0.66357421875}, {"start": 1285.81, "end": 1286.21, "word": " X", "probability": 0.9775390625}, {"start": 1286.21, "end": 1287.35, "word": " زائد", "probability": 0.9005533854166666}, {"start": 1287.35, "end": 1287.99, "word": " constant", "probability": 0.458984375}, {"start": 1287.99, "end": 1288.65, "word": " C", "probability": 0.85107421875}, {"start": 1288.65, "end": 1289.65, "word": " حد", "probability": 0.660888671875}, {"start": 1289.65, "end": 1290.23, "word": " عشر", "probability": 0.84033203125}, {"start": 1290.23, "end": 1291.53, "word": " وصلنا", "probability": 0.9308268229166666}, {"start": 1291.53, "end": 1292.59, "word": " لتكامل", "probability": 0.97314453125}, {"start": 1292.59, "end": 1293.57, "word": " لسكت", "probability": 0.683319091796875}, {"start": 1293.57, "end": 1293.73, "word": " ال", "probability": 0.6953125}, {"start": 1293.73, "end": 1294.27, "word": " X", "probability": 0.98486328125}, {"start": 1294.27, "end": 1295.13, "word": " DX", "probability": 0.9921875}], "temperature": 1.0}, {"id": 59, "seek": 131887, "start": 1296.79, "end": 1318.87, "text": "طبعا ضربنا في سك زائد تاني وجسمنا على سك زائد تاني صار البسطة فاضل المقام يبجلن absolute value لسك ال X زائد تاني ال X زائد كلستين C ثانية عشر تكامل لكوسيكنت ال X DX", "tokens": [9566, 3555, 3615, 995, 48812, 25513, 8315, 8978, 8608, 4117, 30767, 16373, 3215, 6055, 7649, 1829, 49610, 38251, 8315, 15844, 8608, 4117, 30767, 16373, 3215, 6055, 7649, 1829, 20328, 9640, 29739, 3794, 9566, 3660, 6156, 46958, 1211, 9673, 4587, 10943, 7251, 3555, 7435, 1211, 1863, 8236, 2158, 5296, 3794, 4117, 2423, 1783, 30767, 16373, 3215, 6055, 7649, 1829, 2423, 1783, 30767, 16373, 3215, 28242, 14851, 9957, 383, 38637, 7649, 10632, 6225, 46309, 6055, 4117, 10943, 1211, 5296, 4117, 41779, 1829, 4117, 29399, 2423, 1783, 48817], "avg_logprob": -0.24672965670740882, "compression_ratio": 1.6390532544378698, "no_speech_prob": 0.0, "words": [{"start": 1296.79, "end": 1297.35, "word": "طبعا", "probability": 0.84619140625}, {"start": 1297.35, "end": 1298.13, "word": " ضربنا", "probability": 0.81005859375}, {"start": 1298.13, "end": 1298.33, "word": " في", "probability": 0.86376953125}, {"start": 1298.33, "end": 1298.63, "word": " سك", "probability": 0.5411376953125}, {"start": 1298.63, "end": 1299.15, "word": " زائد", "probability": 0.6891276041666666}, {"start": 1299.15, "end": 1299.41, "word": " تاني", "probability": 0.7649739583333334}, {"start": 1299.41, "end": 1300.17, "word": " وجسمنا", "probability": 0.7811686197916666}, {"start": 1300.17, "end": 1300.75, "word": " على", "probability": 0.76123046875}, {"start": 1300.75, "end": 1301.17, "word": " سك", "probability": 0.95166015625}, {"start": 1301.17, "end": 1301.63, "word": " زائد", "probability": 0.9518229166666666}, {"start": 1301.63, "end": 1301.97, "word": " تاني", "probability": 0.9581705729166666}, {"start": 1301.97, "end": 1302.21, "word": " صار", "probability": 0.6236572265625}, {"start": 1302.21, "end": 1302.79, "word": " البسطة", "probability": 0.57281494140625}, {"start": 1302.79, "end": 1303.13, "word": " فاضل", "probability": 0.8020833333333334}, {"start": 1303.13, "end": 1303.87, "word": " المقام", "probability": 0.95263671875}, {"start": 1303.87, "end": 1305.27, "word": " يبجلن", "probability": 0.81083984375}, {"start": 1305.27, "end": 1306.07, "word": " absolute", "probability": 0.7607421875}, {"start": 1306.07, "end": 1306.77, "word": " value", "probability": 0.9912109375}, {"start": 1306.77, "end": 1307.45, "word": " لسك", "probability": 0.94384765625}, {"start": 1307.45, "end": 1307.71, "word": " ال", "probability": 0.6513671875}, {"start": 1307.71, "end": 1308.07, "word": " X", "probability": 0.63818359375}, {"start": 1308.07, "end": 1309.13, "word": " زائد", "probability": 0.94384765625}, {"start": 1309.13, "end": 1309.61, "word": " تاني", "probability": 0.9737955729166666}, {"start": 1309.61, "end": 1309.75, "word": " ال", "probability": 0.68115234375}, {"start": 1309.75, "end": 1310.13, "word": " X", "probability": 0.9775390625}, {"start": 1310.13, "end": 1311.29, "word": " زائد", "probability": 0.9853515625}, {"start": 1311.29, "end": 1312.11, "word": " كلستين", "probability": 0.595703125}, {"start": 1312.11, "end": 1312.55, "word": " C", "probability": 0.6943359375}, {"start": 1312.55, "end": 1313.69, "word": " ثانية", "probability": 0.83740234375}, {"start": 1313.69, "end": 1314.17, "word": " عشر", "probability": 0.937744140625}, {"start": 1314.17, "end": 1315.51, "word": " تكامل", "probability": 0.968017578125}, {"start": 1315.51, "end": 1316.99, "word": " لكوسيكنت", "probability": 0.6109619140625}, {"start": 1316.99, "end": 1317.27, "word": " ال", "probability": 0.8134765625}, {"start": 1317.27, "end": 1317.79, "word": " X", "probability": 0.97216796875}, {"start": 1317.79, "end": 1318.87, "word": " DX", "probability": 0.908203125}], "temperature": 1.0}, {"id": 60, "seek": 134911, "start": 1321.45, "end": 1349.11, "text": "اما سالب لن absolute value لكو سي كانت ال X زائد كتان ال X زائد constant C او لن بالموجة absolute value لكو سي كانت ال X ماقص كتان ال X زائد constant C اما هذه الصيرة او هذه الصيرة الاتنين are the same", "tokens": [10943, 995, 8608, 6027, 3555, 5296, 1863, 8236, 2158, 5296, 4117, 2407, 8608, 1829, 25961, 2655, 2423, 1783, 30767, 16373, 3215, 9122, 2655, 7649, 2423, 1783, 30767, 16373, 3215, 5754, 383, 1975, 2407, 5296, 1863, 20666, 2304, 29245, 3660, 8236, 2158, 5296, 4117, 2407, 8608, 1829, 25961, 2655, 2423, 1783, 3714, 995, 4587, 9381, 9122, 2655, 7649, 2423, 1783, 30767, 16373, 3215, 5754, 383, 1975, 15042, 29538, 31767, 1829, 25720, 1975, 2407, 29538, 31767, 1829, 25720, 2423, 9307, 1863, 9957, 366, 264, 912], "avg_logprob": -0.2593006037530445, "compression_ratio": 1.9673202614379084, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1321.45, "end": 1322.35, "word": "اما", "probability": 0.50018310546875}, {"start": 1322.35, "end": 1323.41, "word": " سالب", "probability": 0.6674397786458334}, {"start": 1323.41, "end": 1324.03, "word": " لن", "probability": 0.5867919921875}, {"start": 1324.03, "end": 1324.81, "word": " absolute", "probability": 0.78662109375}, {"start": 1324.81, "end": 1325.63, "word": " value", "probability": 0.98974609375}, {"start": 1325.63, "end": 1326.15, "word": " لكو", "probability": 0.61962890625}, {"start": 1326.15, "end": 1326.35, "word": " سي", "probability": 0.4324951171875}, {"start": 1326.35, "end": 1326.77, "word": " كانت", "probability": 0.6239013671875}, {"start": 1326.77, "end": 1326.97, "word": " ال", "probability": 0.833984375}, {"start": 1326.97, "end": 1327.33, "word": " X", "probability": 0.64990234375}, {"start": 1327.33, "end": 1328.61, "word": " زائد", "probability": 0.8170572916666666}, {"start": 1328.61, "end": 1329.19, "word": " كتان", "probability": 0.7757161458333334}, {"start": 1329.19, "end": 1329.43, "word": " ال", "probability": 0.89404296875}, {"start": 1329.43, "end": 1329.87, "word": " X", "probability": 0.9892578125}, {"start": 1329.87, "end": 1330.83, "word": " زائد", "probability": 0.97216796875}, {"start": 1330.83, "end": 1331.49, "word": " constant", "probability": 0.312255859375}, {"start": 1331.49, "end": 1332.35, "word": " C", "probability": 0.95361328125}, {"start": 1332.35, "end": 1333.39, "word": " او", "probability": 0.80078125}, {"start": 1333.39, "end": 1334.59, "word": " لن", "probability": 0.953125}, {"start": 1334.59, "end": 1335.87, "word": " بالموجة", "probability": 0.827392578125}, {"start": 1335.87, "end": 1336.87, "word": " absolute", "probability": 0.8544921875}, {"start": 1336.87, "end": 1337.83, "word": " value", "probability": 0.9853515625}, {"start": 1337.83, "end": 1338.61, "word": " لكو", "probability": 0.9791666666666666}, {"start": 1338.61, "end": 1338.81, "word": " سي", "probability": 0.981689453125}, {"start": 1338.81, "end": 1339.21, "word": " كانت", "probability": 0.9892578125}, {"start": 1339.21, "end": 1339.45, "word": " ال", "probability": 0.95166015625}, {"start": 1339.45, "end": 1339.89, "word": " X", "probability": 0.98828125}, {"start": 1339.89, "end": 1340.93, "word": " ماقص", "probability": 0.71783447265625}, {"start": 1340.93, "end": 1341.47, "word": " كتان", "probability": 0.9967447916666666}, {"start": 1341.47, "end": 1341.67, "word": " ال", "probability": 0.97119140625}, {"start": 1341.67, "end": 1342.07, "word": " X", "probability": 0.98974609375}, {"start": 1342.07, "end": 1343.03, "word": " زائد", "probability": 0.9630533854166666}, {"start": 1343.03, "end": 1343.49, "word": " constant", "probability": 0.96826171875}, {"start": 1343.49, "end": 1343.97, "word": " C", "probability": 0.98974609375}, {"start": 1343.97, "end": 1344.37, "word": " اما", "probability": 0.708251953125}, {"start": 1344.37, "end": 1344.73, "word": " هذه", "probability": 0.93212890625}, {"start": 1344.73, "end": 1345.21, "word": " الصيرة", "probability": 0.8103841145833334}, {"start": 1345.21, "end": 1345.37, "word": " او", "probability": 0.698486328125}, {"start": 1345.37, "end": 1345.61, "word": " هذه", "probability": 0.92578125}, {"start": 1345.61, "end": 1346.15, "word": " الصيرة", "probability": 0.9685872395833334}, {"start": 1346.15, "end": 1347.67, "word": " الاتنين", "probability": 0.769500732421875}, {"start": 1347.67, "end": 1348.25, "word": " are", "probability": 0.85693359375}, {"start": 1348.25, "end": 1348.69, "word": " the", "probability": 0.9375}, {"start": 1348.69, "end": 1349.11, "word": " same", "probability": 0.91064453125}], "temperature": 1.0}, {"id": 61, "seek": 136987, "start": 1349.83, "end": 1369.87, "text": "ثالث عشر طلع هنا كاملنا الدوالي المثلثية الستة كلها تمام؟ نيجي لتكامل مضروباتها، إيش تكامل مضروباتها؟ تكامل ل six squared x dx، اللي هو الدوالي؟", "tokens": [12984, 6027, 12984, 6225, 46309, 23032, 1211, 3615, 34105, 9122, 10943, 1211, 8315, 32748, 2407, 6027, 1829, 9673, 12984, 1211, 12984, 10632, 21136, 2655, 3660, 28242, 11296, 46811, 10943, 22807, 8717, 1829, 7435, 1829, 5296, 2655, 4117, 10943, 1211, 3714, 11242, 32887, 3555, 9307, 11296, 12399, 11933, 1829, 8592, 6055, 4117, 10943, 1211, 3714, 11242, 32887, 3555, 9307, 11296, 22807, 6055, 4117, 10943, 1211, 5296, 2309, 8889, 2031, 30017, 12399, 13672, 1829, 31439, 32748, 2407, 6027, 1829, 22807], "avg_logprob": -0.2290348157852511, "compression_ratio": 1.6622516556291391, "no_speech_prob": 0.0, "words": [{"start": 1349.83, "end": 1350.43, "word": "ثالث", "probability": 0.79248046875}, {"start": 1350.43, "end": 1350.89, "word": " عشر", "probability": 0.94970703125}, {"start": 1350.89, "end": 1352.11, "word": " طلع", "probability": 0.7412109375}, {"start": 1352.11, "end": 1352.53, "word": " هنا", "probability": 0.98095703125}, {"start": 1352.53, "end": 1353.87, "word": " كاملنا", "probability": 0.931640625}, {"start": 1353.87, "end": 1354.55, "word": " الدوالي", "probability": 0.6905517578125}, {"start": 1354.55, "end": 1355.85, "word": " المثلثية", "probability": 0.938671875}, {"start": 1355.85, "end": 1356.69, "word": " الستة", "probability": 0.768310546875}, {"start": 1356.69, "end": 1357.73, "word": " كلها", "probability": 0.991943359375}, {"start": 1357.73, "end": 1358.73, "word": " تمام؟", "probability": 0.6798502604166666}, {"start": 1358.73, "end": 1359.11, "word": " نيجي", "probability": 0.8878173828125}, {"start": 1359.11, "end": 1360.03, "word": " لتكامل", "probability": 0.978515625}, {"start": 1360.03, "end": 1361.71, "word": " مضروباتها،", "probability": 0.89599609375}, {"start": 1361.71, "end": 1361.97, "word": " إيش", "probability": 0.777587890625}, {"start": 1361.97, "end": 1362.51, "word": " تكامل", "probability": 0.9849853515625}, {"start": 1362.51, "end": 1364.11, "word": " مضروباتها؟", "probability": 0.9704241071428571}, {"start": 1364.11, "end": 1365.17, "word": " تكامل", "probability": 0.98779296875}, {"start": 1365.17, "end": 1365.59, "word": " ل", "probability": 0.587890625}, {"start": 1365.59, "end": 1366.17, "word": " six", "probability": 0.64990234375}, {"start": 1366.17, "end": 1366.99, "word": " squared", "probability": 0.459716796875}, {"start": 1366.99, "end": 1367.71, "word": " x", "probability": 0.712890625}, {"start": 1367.71, "end": 1368.99, "word": " dx،", "probability": 0.602294921875}, {"start": 1368.99, "end": 1369.11, "word": " اللي", "probability": 0.6314697265625}, {"start": 1369.11, "end": 1369.21, "word": " هو", "probability": 0.978515625}, {"start": 1369.21, "end": 1369.87, "word": " الدوالي؟", "probability": 0.5576171875}], "temperature": 1.0}, {"id": 62, "seek": 138167, "start": 1370.43, "end": 1381.67, "text": "بتاني ال X زائد constant C طيب الرابع عشر تكامل ل cosecant square X في DX", "tokens": [3555, 2655, 7649, 1829, 2423, 1783, 30767, 16373, 3215, 5754, 383, 23032, 1829, 3555, 34892, 16758, 3615, 6225, 46309, 6055, 4117, 10943, 1211, 5296, 30261, 66, 394, 3732, 1783, 8978, 48817], "avg_logprob": -0.28515623789280653, "compression_ratio": 1.0196078431372548, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1370.43, "end": 1371.39, "word": "بتاني", "probability": 0.68804931640625}, {"start": 1371.39, "end": 1371.51, "word": " ال", "probability": 0.68994140625}, {"start": 1371.51, "end": 1371.95, "word": " X", "probability": 0.58935546875}, {"start": 1371.95, "end": 1372.67, "word": " زائد", "probability": 0.8017578125}, {"start": 1372.67, "end": 1373.23, "word": " constant", "probability": 0.431640625}, {"start": 1373.23, "end": 1373.85, "word": " C", "probability": 0.8955078125}, {"start": 1373.85, "end": 1374.75, "word": " طيب", "probability": 0.86279296875}, {"start": 1374.75, "end": 1375.37, "word": " الرابع", "probability": 0.96240234375}, {"start": 1375.37, "end": 1375.95, "word": " عشر", "probability": 0.8984375}, {"start": 1375.95, "end": 1377.33, "word": " تكامل", "probability": 0.9754638671875}, {"start": 1377.33, "end": 1377.99, "word": " ل", "probability": 0.491943359375}, {"start": 1377.99, "end": 1379.17, "word": " cosecant", "probability": 0.6567789713541666}, {"start": 1379.17, "end": 1379.79, "word": " square", "probability": 0.5791015625}, {"start": 1379.79, "end": 1380.63, "word": " X", "probability": 0.7880859375}, {"start": 1380.63, "end": 1381.17, "word": " في", "probability": 0.798828125}, {"start": 1381.17, "end": 1381.67, "word": " DX", "probability": 0.75}], "temperature": 1.0}, {"id": 63, "seek": 140891, "start": 1382.25, "end": 1408.91, "text": "لو بسالب كتان ال X زائد كلستن C خمس تاشر يبقى تكامل لسك ال X تاني ال X DX يساوي سك ال X زائد كلستن C السادس عشر تكامل لكوسيكنت ال X كتاني ال X DX", "tokens": [1211, 2407, 4724, 3794, 6027, 3555, 9122, 2655, 7649, 2423, 1783, 30767, 16373, 3215, 28242, 14851, 1863, 383, 16490, 2304, 3794, 6055, 33599, 2288, 7251, 3555, 4587, 7578, 6055, 4117, 10943, 1211, 5296, 3794, 4117, 2423, 1783, 6055, 7649, 1829, 2423, 1783, 48817, 7251, 3794, 995, 45865, 8608, 4117, 2423, 1783, 30767, 16373, 3215, 28242, 14851, 1863, 383, 21136, 18513, 3794, 6225, 46309, 6055, 4117, 10943, 1211, 5296, 4117, 41779, 1829, 4117, 29399, 2423, 1783, 9122, 2655, 7649, 1829, 2423, 1783, 48817], "avg_logprob": -0.1939006088727928, "compression_ratio": 1.8692307692307693, "no_speech_prob": 0.0, "words": [{"start": 1382.25, "end": 1382.67, "word": "لو", "probability": 0.5048828125}, {"start": 1382.67, "end": 1383.37, "word": " بسالب", "probability": 0.63079833984375}, {"start": 1383.37, "end": 1384.23, "word": " كتان", "probability": 0.8850911458333334}, {"start": 1384.23, "end": 1384.93, "word": " ال", "probability": 0.841796875}, {"start": 1384.93, "end": 1385.39, "word": " X", "probability": 0.6474609375}, {"start": 1385.39, "end": 1386.17, "word": " زائد", "probability": 0.82666015625}, {"start": 1386.17, "end": 1387.05, "word": " كلستن", "probability": 0.6569010416666666}, {"start": 1387.05, "end": 1387.47, "word": " C", "probability": 0.83740234375}, {"start": 1387.47, "end": 1388.89, "word": " خمس", "probability": 0.8805338541666666}, {"start": 1388.89, "end": 1389.65, "word": " تاشر", "probability": 0.74951171875}, {"start": 1389.65, "end": 1390.45, "word": " يبقى", "probability": 0.9598388671875}, {"start": 1390.45, "end": 1391.35, "word": " تكامل", "probability": 0.9793701171875}, {"start": 1391.35, "end": 1392.53, "word": " لسك", "probability": 0.91943359375}, {"start": 1392.53, "end": 1392.83, "word": " ال", "probability": 0.42626953125}, {"start": 1392.83, "end": 1393.33, "word": " X", "probability": 0.9921875}, {"start": 1393.33, "end": 1394.39, "word": " تاني", "probability": 0.8992513020833334}, {"start": 1394.39, "end": 1394.53, "word": " ال", "probability": 0.77490234375}, {"start": 1394.53, "end": 1394.99, "word": " X", "probability": 0.9794921875}, {"start": 1394.99, "end": 1395.95, "word": " DX", "probability": 0.8759765625}, {"start": 1395.95, "end": 1397.45, "word": " يساوي", "probability": 0.8802490234375}, {"start": 1397.45, "end": 1398.07, "word": " سك", "probability": 0.961181640625}, {"start": 1398.07, "end": 1398.35, "word": " ال", "probability": 0.8740234375}, {"start": 1398.35, "end": 1398.79, "word": " X", "probability": 0.99658203125}, {"start": 1398.79, "end": 1399.81, "word": " زائد", "probability": 0.9544270833333334}, {"start": 1399.81, "end": 1400.65, "word": " كلستن", "probability": 0.9708658854166666}, {"start": 1400.65, "end": 1401.07, "word": " C", "probability": 0.99365234375}, {"start": 1401.07, "end": 1402.11, "word": " السادس", "probability": 0.9207356770833334}, {"start": 1402.11, "end": 1402.69, "word": " عشر", "probability": 0.96044921875}, {"start": 1402.69, "end": 1404.03, "word": " تكامل", "probability": 0.9759521484375}, {"start": 1404.03, "end": 1405.65, "word": " لكوسيكنت", "probability": 0.7169189453125}, {"start": 1405.65, "end": 1405.95, "word": " ال", "probability": 0.74072265625}, {"start": 1405.95, "end": 1406.41, "word": " X", "probability": 0.99609375}, {"start": 1406.41, "end": 1407.33, "word": " كتاني", "probability": 0.8858642578125}, {"start": 1407.33, "end": 1407.49, "word": " ال", "probability": 0.92626953125}, {"start": 1407.49, "end": 1407.93, "word": " X", "probability": 0.99267578125}, {"start": 1407.93, "end": 1408.91, "word": " DX", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 64, "seek": 141464, "start": 1409.48, "end": 1414.64, "text": "بسالب cos x زائد constant C", "tokens": [3555, 3794, 6027, 3555, 3792, 2031, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.7063801834980646, "compression_ratio": 0.8, "no_speech_prob": 0.0, "words": [{"start": 1409.48, "end": 1410.78, "word": "بسالب", "probability": 0.547698974609375}, {"start": 1410.78, "end": 1411.34, "word": " cos", "probability": 0.24853515625}, {"start": 1411.34, "end": 1412.5, "word": " x", "probability": 0.4892578125}, {"start": 1412.5, "end": 1413.54, "word": " زائد", "probability": 0.642822265625}, {"start": 1413.54, "end": 1414.08, "word": " constant", "probability": 0.1800537109375}, {"start": 1414.08, "end": 1414.64, "word": " C", "probability": 0.568359375}], "temperature": 1.0}, {"id": 65, "seek": 143929, "start": 1416.87, "end": 1439.29, "text": "يبقى دول تكمل من الدوال المثلثية وضرب الدوال المثلثية نذهب الآن إلى الدوال الزائدية تكمل لجوش AX DX يبقى واحد على essential AX", "tokens": [1829, 3555, 4587, 7578, 11778, 12610, 6055, 24793, 1211, 9154, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632, 4032, 11242, 25513, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632, 8717, 24192, 3555, 6024, 48506, 30731, 32748, 2407, 6027, 6024, 110, 16373, 3215, 10632, 6055, 24793, 1211, 5296, 7435, 2407, 8592, 316, 55, 48817, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 7115, 316, 55], "avg_logprob": -0.18139648181386292, "compression_ratio": 1.5808823529411764, "no_speech_prob": 0.0, "words": [{"start": 1416.87, "end": 1417.41, "word": "يبقى", "probability": 0.82763671875}, {"start": 1417.41, "end": 1417.67, "word": " دول", "probability": 0.43658447265625}, {"start": 1417.67, "end": 1418.21, "word": " تكمل", "probability": 0.8992513020833334}, {"start": 1418.21, "end": 1418.51, "word": " من", "probability": 0.96826171875}, {"start": 1418.51, "end": 1419.95, "word": " الدوال", "probability": 0.8359375}, {"start": 1419.95, "end": 1421.19, "word": " المثلثية", "probability": 0.95126953125}, {"start": 1421.19, "end": 1422.35, "word": " وضرب", "probability": 0.8631184895833334}, {"start": 1422.35, "end": 1423.45, "word": " الدوال", "probability": 0.9674479166666666}, {"start": 1423.45, "end": 1425.25, "word": " المثلثية", "probability": 0.9857421875}, {"start": 1425.25, "end": 1426.37, "word": " نذهب", "probability": 0.9246419270833334}, {"start": 1426.37, "end": 1426.99, "word": " الآن", "probability": 0.6490478515625}, {"start": 1426.99, "end": 1427.47, "word": " إلى", "probability": 0.5703125}, {"start": 1427.47, "end": 1428.65, "word": " الدوال", "probability": 0.98095703125}, {"start": 1428.65, "end": 1430.55, "word": " الزائدية", "probability": 0.91728515625}, {"start": 1430.55, "end": 1431.95, "word": " تكمل", "probability": 0.9449869791666666}, {"start": 1431.95, "end": 1432.71, "word": " لجوش", "probability": 0.9517822265625}, {"start": 1432.71, "end": 1433.65, "word": " AX", "probability": 0.5755615234375}, {"start": 1433.65, "end": 1434.39, "word": " DX", "probability": 0.71875}, {"start": 1434.39, "end": 1435.39, "word": " يبقى", "probability": 0.97705078125}, {"start": 1435.39, "end": 1435.95, "word": " واحد", "probability": 0.70166015625}, {"start": 1435.95, "end": 1436.47, "word": " على", "probability": 0.7490234375}, {"start": 1436.47, "end": 1438.01, "word": " essential", "probability": 0.5498046875}, {"start": 1438.01, "end": 1439.29, "word": " AX", "probability": 0.904541015625}], "temperature": 1.0}, {"id": 66, "seek": 145483, "start": 1439.67, "end": 1454.83, "text": "زائد كنستان C بالمثل تكامل لسنش AXDX يسوى واحد على A جوش AX زائد كنستان C", "tokens": [11622, 16373, 3215, 9122, 1863, 14851, 7649, 383, 20666, 2304, 12984, 1211, 6055, 4117, 10943, 1211, 5296, 3794, 1863, 8592, 316, 55, 35, 55, 7251, 3794, 2407, 7578, 36764, 24401, 15844, 316, 10874, 2407, 8592, 316, 55, 30767, 16373, 3215, 9122, 1863, 14851, 7649, 383], "avg_logprob": -0.2403192950979523, "compression_ratio": 1.3406593406593406, "no_speech_prob": 0.0, "words": [{"start": 1439.67, "end": 1440.53, "word": "زائد", "probability": 0.8050130208333334}, {"start": 1440.53, "end": 1441.41, "word": " كنستان", "probability": 0.538848876953125}, {"start": 1441.41, "end": 1441.71, "word": " C", "probability": 0.388916015625}, {"start": 1441.71, "end": 1443.63, "word": " بالمثل", "probability": 0.9501953125}, {"start": 1443.63, "end": 1444.91, "word": " تكامل", "probability": 0.9754638671875}, {"start": 1444.91, "end": 1446.25, "word": " لسنش", "probability": 0.80322265625}, {"start": 1446.25, "end": 1448.19, "word": " AXDX", "probability": 0.73345947265625}, {"start": 1448.19, "end": 1449.19, "word": " يسوى", "probability": 0.7479248046875}, {"start": 1449.19, "end": 1449.75, "word": " واحد", "probability": 0.83984375}, {"start": 1449.75, "end": 1450.19, "word": " على", "probability": 0.5771484375}, {"start": 1450.19, "end": 1450.81, "word": " A", "probability": 0.7216796875}, {"start": 1450.81, "end": 1451.75, "word": " جوش", "probability": 0.7791341145833334}, {"start": 1451.75, "end": 1452.75, "word": " AX", "probability": 0.9072265625}, {"start": 1452.75, "end": 1453.77, "word": " زائد", "probability": 0.94482421875}, {"start": 1453.77, "end": 1454.57, "word": " كنستان", "probability": 0.95947265625}, {"start": 1454.57, "end": 1454.83, "word": " C", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 67, "seek": 147993, "start": 1456.07, "end": 1479.93, "text": "التاش عملناها سنش على دوش وصلينا المقام والكوتاش زيها والسش خدناها مثال والكستش قولنا لك exercise لك تمام؟ يبقى هذا كله معاك تمام بدنا نيجي لمن؟ الى تسعة تاش تسعة تاش تكامل لمن؟ لسش Square X", "tokens": [6027, 2655, 33599, 6225, 42213, 8315, 11296, 8608, 1863, 8592, 15844, 11778, 2407, 8592, 4032, 9381, 20292, 8315, 9673, 4587, 10943, 16070, 4117, 35473, 33599, 30767, 1829, 11296, 16070, 3794, 8592, 16490, 3215, 8315, 11296, 50113, 6027, 16070, 4117, 14851, 8592, 12174, 12610, 8315, 5296, 4117, 5380, 5296, 4117, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 23758, 28242, 3224, 20449, 995, 4117, 46811, 10943, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 27842, 22807, 2423, 7578, 6055, 3794, 27884, 6055, 33599, 6055, 3794, 27884, 6055, 33599, 6055, 4117, 10943, 1211, 5296, 27842, 22807, 5296, 3794, 8592, 16463, 1783], "avg_logprob": -0.3147321413366162, "compression_ratio": 1.7647058823529411, "no_speech_prob": 0.0, "words": [{"start": 1456.07, "end": 1456.69, "word": "التاش", "probability": 0.5394694010416666}, {"start": 1456.69, "end": 1457.27, "word": " عملناها", "probability": 0.711456298828125}, {"start": 1457.27, "end": 1457.59, "word": " سنش", "probability": 0.5604654947916666}, {"start": 1457.59, "end": 1457.79, "word": " على", "probability": 0.6171875}, {"start": 1457.79, "end": 1458.19, "word": " دوش", "probability": 0.6909586588541666}, {"start": 1458.19, "end": 1458.89, "word": " وصلينا", "probability": 0.63079833984375}, {"start": 1458.89, "end": 1459.51, "word": " المقام", "probability": 0.9425455729166666}, {"start": 1459.51, "end": 1460.23, "word": " والكوتاش", "probability": 0.6824951171875}, {"start": 1460.23, "end": 1460.71, "word": " زيها", "probability": 0.974609375}, {"start": 1460.71, "end": 1461.49, "word": " والسش", "probability": 0.84326171875}, {"start": 1461.49, "end": 1462.07, "word": " خدناها", "probability": 0.82464599609375}, {"start": 1462.07, "end": 1462.63, "word": " مثال", "probability": 0.987060546875}, {"start": 1462.63, "end": 1463.55, "word": " والكستش", "probability": 0.663055419921875}, {"start": 1463.55, "end": 1463.91, "word": " قولنا", "probability": 0.5990397135416666}, {"start": 1463.91, "end": 1464.09, "word": " لك", "probability": 0.667236328125}, {"start": 1464.09, "end": 1464.57, "word": " exercise", "probability": 0.61962890625}, {"start": 1464.57, "end": 1465.49, "word": " لك", "probability": 0.845703125}, {"start": 1465.49, "end": 1466.35, "word": " تمام؟", "probability": 0.6766764322916666}, {"start": 1466.35, "end": 1466.83, "word": " يبقى", "probability": 0.9610595703125}, {"start": 1466.83, "end": 1467.11, "word": " هذا", "probability": 0.93017578125}, {"start": 1467.11, "end": 1467.93, "word": " كله", "probability": 0.986328125}, {"start": 1467.93, "end": 1468.41, "word": " معاك", "probability": 0.9088541666666666}, {"start": 1468.41, "end": 1468.87, "word": " تمام", "probability": 0.9736328125}, {"start": 1468.87, "end": 1469.79, "word": " بدنا", "probability": 0.59283447265625}, {"start": 1469.79, "end": 1470.07, "word": " نيجي", "probability": 0.9599609375}, {"start": 1470.07, "end": 1470.91, "word": " لمن؟", "probability": 0.6764322916666666}, {"start": 1470.91, "end": 1471.59, "word": " الى", "probability": 0.6661376953125}, {"start": 1471.59, "end": 1472.05, "word": " تسعة", "probability": 0.9549153645833334}, {"start": 1472.05, "end": 1472.53, "word": " تاش", "probability": 0.6334228515625}, {"start": 1472.53, "end": 1473.55, "word": " تسعة", "probability": 0.8916015625}, {"start": 1473.55, "end": 1474.23, "word": " تاش", "probability": 0.953857421875}, {"start": 1474.23, "end": 1475.85, "word": " تكامل", "probability": 0.977783203125}, {"start": 1475.85, "end": 1477.33, "word": " لمن؟", "probability": 0.8248697916666666}, {"start": 1477.33, "end": 1478.23, "word": " لسش", "probability": 0.85302734375}, {"start": 1478.23, "end": 1479.03, "word": " Square", "probability": 0.2626953125}, {"start": 1479.03, "end": 1479.93, "word": " X", "probability": 0.9326171875}], "temperature": 1.0}, {"id": 68, "seek": 150029, "start": 1487.09, "end": 1500.29, "text": "20 تكامل يبقى سلب potential x زائد constant c", "tokens": [2009, 6055, 4117, 10943, 1211, 7251, 3555, 4587, 7578, 8608, 46152, 3995, 2031, 30767, 16373, 3215, 5754, 269], "avg_logprob": -0.6015625062741732, "compression_ratio": 0.8472222222222222, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1487.09, "end": 1488.49, "word": "20", "probability": 0.0977783203125}, {"start": 1488.49, "end": 1489.89, "word": " تكامل", "probability": 0.760406494140625}, {"start": 1489.89, "end": 1495.65, "word": " يبقى", "probability": 0.7130126953125}, {"start": 1495.65, "end": 1496.21, "word": " سلب", "probability": 0.5830078125}, {"start": 1496.21, "end": 1497.11, "word": " potential", "probability": 0.83984375}, {"start": 1497.11, "end": 1497.95, "word": " x", "probability": 0.70556640625}, {"start": 1497.95, "end": 1499.11, "word": " زائد", "probability": 0.5580240885416666}, {"start": 1499.11, "end": 1499.65, "word": " constant", "probability": 0.9052734375}, {"start": 1499.65, "end": 1500.29, "word": " c", "probability": 0.62109375}], "temperature": 1.0}, {"id": 69, "seek": 152958, "start": 1501.08, "end": 1529.58, "text": "الحدي والعشرين تكامل لسش ال X تانش ال X DX ويساوي سالب سش ال X زائد constant C الثاني والعشرين اللي هو تكامل لكسش ال X كتانش ال X DX بسالب كسش ال X", "tokens": [6027, 5016, 16254, 16070, 3615, 46309, 9957, 6055, 4117, 10943, 1211, 5296, 3794, 8592, 2423, 1783, 6055, 7649, 8592, 2423, 1783, 48817, 4032, 1829, 3794, 995, 45865, 8608, 6027, 3555, 8608, 8592, 2423, 1783, 30767, 16373, 3215, 5754, 383, 6024, 104, 7649, 1829, 16070, 3615, 46309, 9957, 13672, 1829, 31439, 6055, 4117, 10943, 1211, 5296, 4117, 3794, 8592, 2423, 1783, 9122, 2655, 7649, 8592, 2423, 1783, 48817, 4724, 3794, 6027, 3555, 9122, 3794, 8592, 2423, 1783], "avg_logprob": -0.20373376855602512, "compression_ratio": 1.8615384615384616, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1501.08, "end": 1501.82, "word": "الحدي", "probability": 0.3558756510416667}, {"start": 1501.82, "end": 1502.9, "word": " والعشرين", "probability": 0.76568603515625}, {"start": 1502.9, "end": 1504.4, "word": " تكامل", "probability": 0.9630126953125}, {"start": 1504.4, "end": 1505.8, "word": " لسش", "probability": 0.8406575520833334}, {"start": 1505.8, "end": 1506.18, "word": " ال", "probability": 0.5546875}, {"start": 1506.18, "end": 1506.7, "word": " X", "probability": 0.65771484375}, {"start": 1506.7, "end": 1508.0, "word": " تانش", "probability": 0.7310384114583334}, {"start": 1508.0, "end": 1508.38, "word": " ال", "probability": 0.9169921875}, {"start": 1508.38, "end": 1508.86, "word": " X", "probability": 0.96337890625}, {"start": 1508.86, "end": 1509.84, "word": " DX", "probability": 0.7548828125}, {"start": 1509.84, "end": 1511.56, "word": " ويساوي", "probability": 0.87939453125}, {"start": 1511.56, "end": 1512.58, "word": " سالب", "probability": 0.8976236979166666}, {"start": 1512.58, "end": 1513.12, "word": " سش", "probability": 0.98388671875}, {"start": 1513.12, "end": 1513.42, "word": " ال", "probability": 0.63818359375}, {"start": 1513.42, "end": 1513.84, "word": " X", "probability": 0.99169921875}, {"start": 1513.84, "end": 1514.98, "word": " زائد", "probability": 0.89501953125}, {"start": 1514.98, "end": 1515.48, "word": " constant", "probability": 0.6064453125}, {"start": 1515.48, "end": 1516.24, "word": " C", "probability": 0.8876953125}, {"start": 1516.24, "end": 1517.62, "word": " الثاني", "probability": 0.8330078125}, {"start": 1517.62, "end": 1518.98, "word": " والعشرين", "probability": 0.974609375}, {"start": 1518.98, "end": 1519.64, "word": " اللي", "probability": 0.7249755859375}, {"start": 1519.64, "end": 1519.82, "word": " هو", "probability": 0.93798828125}, {"start": 1519.82, "end": 1520.72, "word": " تكامل", "probability": 0.98779296875}, {"start": 1520.72, "end": 1522.04, "word": " لكسش", "probability": 0.8975830078125}, {"start": 1522.04, "end": 1522.42, "word": " ال", "probability": 0.869140625}, {"start": 1522.42, "end": 1522.86, "word": " X", "probability": 0.9951171875}, {"start": 1522.86, "end": 1524.24, "word": " كتانش", "probability": 0.697998046875}, {"start": 1524.24, "end": 1524.52, "word": " ال", "probability": 0.9462890625}, {"start": 1524.52, "end": 1525.02, "word": " X", "probability": 0.9892578125}, {"start": 1525.02, "end": 1526.26, "word": " DX", "probability": 0.99462890625}, {"start": 1526.26, "end": 1527.76, "word": " بسالب", "probability": 0.9000244140625}, {"start": 1527.76, "end": 1528.76, "word": " كسش", "probability": 0.9853515625}, {"start": 1528.76, "end": 1529.1, "word": " ال", "probability": 0.958984375}, {"start": 1529.1, "end": 1529.58, "word": " X", "probability": 0.998046875}], "temperature": 1.0}, {"id": 70, "seek": 153502, "start": 1529.88, "end": 1535.02, "text": "زائد كونستانسية الثالث والعشرين", "tokens": [11622, 16373, 3215, 9122, 11536, 14851, 7649, 3794, 10632, 6024, 104, 6027, 12984, 16070, 3615, 46309, 9957], "avg_logprob": -0.3077256994114982, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 1529.88, "end": 1530.6, "word": "زائد", "probability": 0.7775065104166666}, {"start": 1530.6, "end": 1531.86, "word": " كونستانسية", "probability": 0.6945393880208334}, {"start": 1531.86, "end": 1534.24, "word": " الثالث", "probability": 0.8358154296875}, {"start": 1534.24, "end": 1535.02, "word": " والعشرين", "probability": 0.8441162109375}], "temperature": 1.0}, {"id": 71, "seek": 156172, "start": 1537.7, "end": 1561.72, "text": "الآن بدنا نروح للمعكوسات معكوس الدول المثلثية و معكوس الدول الزائدية معكوس الدول المثلثية عندنا تلت تكاملات التكامل الأول واحد على الجذر التربية لإيه تربية ناقص x تربية dx اللي همين sin inverse", "tokens": [6027, 148, 48506, 47525, 8315, 8717, 32887, 5016, 5296, 19528, 3615, 4117, 41779, 9307, 20449, 4117, 41779, 32748, 12610, 9673, 12984, 1211, 12984, 10632, 4032, 20449, 4117, 41779, 32748, 12610, 6024, 110, 16373, 3215, 10632, 20449, 4117, 41779, 32748, 12610, 9673, 12984, 1211, 12984, 10632, 43242, 8315, 6055, 1211, 2655, 6055, 4117, 10943, 1211, 9307, 16712, 4117, 10943, 1211, 16247, 12610, 36764, 24401, 15844, 25724, 8848, 2288, 16712, 25513, 10632, 5296, 28814, 1829, 3224, 6055, 25513, 10632, 8717, 995, 4587, 9381, 2031, 6055, 25513, 10632, 30017, 13672, 1829, 8032, 2304, 9957, 3343, 17340], "avg_logprob": -0.2155917561117639, "compression_ratio": 1.9485714285714286, "no_speech_prob": 0.0, "words": [{"start": 1537.7, "end": 1538.2, "word": "الآن", "probability": 0.5577392578125}, {"start": 1538.2, "end": 1538.48, "word": " بدنا", "probability": 0.603515625}, {"start": 1538.48, "end": 1538.76, "word": " نروح", "probability": 0.9342447916666666}, {"start": 1538.76, "end": 1540.14, "word": " للمعكوسات", "probability": 0.8883463541666666}, {"start": 1540.14, "end": 1541.38, "word": " معكوس", "probability": 0.7234700520833334}, {"start": 1541.38, "end": 1541.86, "word": " الدول", "probability": 0.895263671875}, {"start": 1541.86, "end": 1542.74, "word": " المثلثية", "probability": 0.93466796875}, {"start": 1542.74, "end": 1542.86, "word": " و", "probability": 0.79443359375}, {"start": 1542.86, "end": 1543.24, "word": " معكوس", "probability": 0.8268229166666666}, {"start": 1543.24, "end": 1543.68, "word": " الدول", "probability": 0.987060546875}, {"start": 1543.68, "end": 1544.56, "word": " الزائدية", "probability": 0.9138671875}, {"start": 1544.56, "end": 1545.48, "word": " معكوس", "probability": 0.9083658854166666}, {"start": 1545.48, "end": 1545.8, "word": " الدول", "probability": 0.989990234375}, {"start": 1545.8, "end": 1546.62, "word": " المثلثية", "probability": 0.99521484375}, {"start": 1546.62, "end": 1547.08, "word": " عندنا", "probability": 0.60467529296875}, {"start": 1547.08, "end": 1547.42, "word": " تلت", "probability": 0.8670247395833334}, {"start": 1547.42, "end": 1548.48, "word": " تكاملات", "probability": 0.97958984375}, {"start": 1548.48, "end": 1549.82, "word": " التكامل", "probability": 0.9815673828125}, {"start": 1549.82, "end": 1550.52, "word": " الأول", "probability": 0.91650390625}, {"start": 1550.52, "end": 1551.72, "word": " واحد", "probability": 0.917236328125}, {"start": 1551.72, "end": 1552.38, "word": " على", "probability": 0.91552734375}, {"start": 1552.38, "end": 1552.96, "word": " الجذر", "probability": 0.8909505208333334}, {"start": 1552.96, "end": 1553.62, "word": " التربية", "probability": 0.8213704427083334}, {"start": 1553.62, "end": 1554.2, "word": " لإيه", "probability": 0.68365478515625}, {"start": 1554.2, "end": 1554.78, "word": " تربية", "probability": 0.89453125}, {"start": 1554.78, "end": 1556.08, "word": " ناقص", "probability": 0.83770751953125}, {"start": 1556.08, "end": 1556.46, "word": " x", "probability": 0.3251953125}, {"start": 1556.46, "end": 1557.12, "word": " تربية", "probability": 0.9228515625}, {"start": 1557.12, "end": 1557.86, "word": " dx", "probability": 0.875}, {"start": 1557.86, "end": 1558.5, "word": " اللي", "probability": 0.77490234375}, {"start": 1558.5, "end": 1559.1, "word": " همين", "probability": 0.7342122395833334}, {"start": 1559.1, "end": 1560.2, "word": " sin", "probability": 0.31787109375}, {"start": 1560.2, "end": 1561.72, "word": " inverse", "probability": 0.3828125}], "temperature": 1.0}, {"id": 72, "seek": 159040, "start": 1565.88, "end": 1590.4, "text": "تكامل الرابع هو عشرين هو عبارة عن تكامل لمين؟ لواحد A تربية زاد X تربية DX بدون جذور يبقى يقول إن هذا عبارة عن واحد على اتان inverse X على A زاد constant C", "tokens": [2655, 4117, 10943, 1211, 34892, 16758, 3615, 31439, 6225, 8592, 16572, 1863, 31439, 6225, 3555, 9640, 3660, 18871, 6055, 4117, 10943, 1211, 32767, 9957, 22807, 5296, 14407, 24401, 316, 6055, 25513, 10632, 30767, 18513, 1783, 6055, 25513, 10632, 48817, 47525, 11536, 10874, 8848, 13063, 7251, 3555, 4587, 7578, 7251, 39648, 36145, 23758, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 15844, 1975, 2655, 7649, 17340, 1783, 15844, 316, 30767, 18513, 5754, 383], "avg_logprob": -0.305121519913276, "compression_ratio": 1.5740740740740742, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1565.8799999999999, "end": 1567.1, "word": "تكامل", "probability": 0.595703125}, {"start": 1567.1, "end": 1568.02, "word": " الرابع", "probability": 0.8557942708333334}, {"start": 1568.02, "end": 1568.86, "word": " هو", "probability": 0.76220703125}, {"start": 1568.86, "end": 1570.66, "word": " عشرين", "probability": 0.5731201171875}, {"start": 1570.66, "end": 1571.22, "word": " هو", "probability": 0.48291015625}, {"start": 1571.22, "end": 1571.74, "word": " عبارة", "probability": 0.9619140625}, {"start": 1571.74, "end": 1571.94, "word": " عن", "probability": 0.98681640625}, {"start": 1571.94, "end": 1572.48, "word": " تكامل", "probability": 0.938232421875}, {"start": 1572.48, "end": 1573.38, "word": " لمين؟", "probability": 0.6697591145833334}, {"start": 1573.38, "end": 1574.18, "word": " لواحد", "probability": 0.8434244791666666}, {"start": 1574.18, "end": 1574.72, "word": " A", "probability": 0.1884765625}, {"start": 1574.72, "end": 1575.44, "word": " تربية", "probability": 0.8190104166666666}, {"start": 1575.44, "end": 1576.06, "word": " زاد", "probability": 0.474609375}, {"start": 1576.06, "end": 1576.34, "word": " X", "probability": 0.82275390625}, {"start": 1576.34, "end": 1576.9, "word": " تربية", "probability": 0.953125}, {"start": 1576.9, "end": 1577.4, "word": " DX", "probability": 0.97314453125}, {"start": 1577.4, "end": 1578.44, "word": " بدون", "probability": 0.95458984375}, {"start": 1578.44, "end": 1579.1, "word": " جذور", "probability": 0.7913411458333334}, {"start": 1579.1, "end": 1580.22, "word": " يبقى", "probability": 0.75860595703125}, {"start": 1580.22, "end": 1580.52, "word": " يقول", "probability": 0.88134765625}, {"start": 1580.52, "end": 1580.68, "word": " إن", "probability": 0.72705078125}, {"start": 1580.68, "end": 1581.0, "word": " هذا", "probability": 0.78759765625}, {"start": 1581.0, "end": 1581.58, "word": " عبارة", "probability": 0.9969482421875}, {"start": 1581.58, "end": 1582.02, "word": " عن", "probability": 0.99755859375}, {"start": 1582.02, "end": 1583.06, "word": " واحد", "probability": 0.95068359375}, {"start": 1583.06, "end": 1583.62, "word": " على", "probability": 0.546875}, {"start": 1583.62, "end": 1585.4, "word": " اتان", "probability": 0.6517740885416666}, {"start": 1585.4, "end": 1586.4, "word": " inverse", "probability": 0.62255859375}, {"start": 1586.4, "end": 1587.16, "word": " X", "probability": 0.83203125}, {"start": 1587.16, "end": 1587.58, "word": " على", "probability": 0.76806640625}, {"start": 1587.58, "end": 1588.1, "word": " A", "probability": 0.91259765625}, {"start": 1588.1, "end": 1589.14, "word": " زاد", "probability": 0.876220703125}, {"start": 1589.14, "end": 1589.74, "word": " constant", "probability": 0.279052734375}, {"start": 1589.74, "end": 1590.4, "word": " C", "probability": 0.91943359375}], "temperature": 1.0}, {"id": 73, "seek": 161826, "start": 1591.34, "end": 1618.26, "text": "خمسة وعشرين بدنا تكامل اللي هو ميم واحد على X الجذر التربية X تربية ناقص A تربية في DX اللي هو عبارة عن ميم واحد على A في Sec inverse absolute value X عليها زائد constant C هدول التلاتة", "tokens": [9778, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 47525, 8315, 6055, 4117, 10943, 1211, 13672, 1829, 31439, 3714, 32640, 36764, 24401, 15844, 1783, 25724, 8848, 2288, 16712, 25513, 10632, 1783, 6055, 25513, 10632, 8717, 995, 4587, 9381, 316, 6055, 25513, 10632, 8978, 48817, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 3714, 32640, 36764, 24401, 15844, 316, 8978, 3306, 17340, 8236, 2158, 1783, 25894, 11296, 30767, 16373, 3215, 5754, 383, 8032, 3215, 12610, 16712, 1211, 9307, 3660], "avg_logprob": -0.2598157116235831, "compression_ratio": 1.5340314136125655, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1591.34, "end": 1592.0, "word": "خمسة", "probability": 0.7128143310546875}, {"start": 1592.0, "end": 1592.8, "word": " وعشرين", "probability": 0.76904296875}, {"start": 1592.8, "end": 1593.68, "word": " بدنا", "probability": 0.58489990234375}, {"start": 1593.68, "end": 1594.62, "word": " تكامل", "probability": 0.9671630859375}, {"start": 1594.62, "end": 1595.2, "word": " اللي", "probability": 0.693359375}, {"start": 1595.2, "end": 1595.44, "word": " هو", "probability": 0.95703125}, {"start": 1595.44, "end": 1595.84, "word": " ميم", "probability": 0.494140625}, {"start": 1595.84, "end": 1597.12, "word": " واحد", "probability": 0.978759765625}, {"start": 1597.12, "end": 1597.9, "word": " على", "probability": 0.8125}, {"start": 1597.9, "end": 1598.36, "word": " X", "probability": 0.3798828125}, {"start": 1598.36, "end": 1599.26, "word": " الجذر", "probability": 0.6553548177083334}, {"start": 1599.26, "end": 1600.0, "word": " التربية", "probability": 0.7981770833333334}, {"start": 1600.0, "end": 1600.8, "word": " X", "probability": 0.60693359375}, {"start": 1600.8, "end": 1601.42, "word": " تربية", "probability": 0.9365234375}, {"start": 1601.42, "end": 1602.1, "word": " ناقص", "probability": 0.936767578125}, {"start": 1602.1, "end": 1602.28, "word": " A", "probability": 0.65234375}, {"start": 1602.28, "end": 1602.8, "word": " تربية", "probability": 0.9521484375}, {"start": 1602.8, "end": 1602.96, "word": " في", "probability": 0.8759765625}, {"start": 1602.96, "end": 1603.62, "word": " DX", "probability": 0.41015625}, {"start": 1603.62, "end": 1604.38, "word": " اللي", "probability": 0.95654296875}, {"start": 1604.38, "end": 1604.54, "word": " هو", "probability": 0.94580078125}, {"start": 1604.54, "end": 1604.94, "word": " عبارة", "probability": 0.83880615234375}, {"start": 1604.94, "end": 1605.2, "word": " عن", "probability": 0.96142578125}, {"start": 1605.2, "end": 1605.62, "word": " ميم", "probability": 0.9736328125}, {"start": 1605.62, "end": 1606.92, "word": " واحد", "probability": 0.979248046875}, {"start": 1606.92, "end": 1607.66, "word": " على", "probability": 0.86083984375}, {"start": 1607.66, "end": 1608.24, "word": " A", "probability": 0.93994140625}, {"start": 1608.24, "end": 1608.82, "word": " في", "probability": 0.85302734375}, {"start": 1608.82, "end": 1609.6, "word": " Sec", "probability": 0.1383056640625}, {"start": 1609.6, "end": 1610.52, "word": " inverse", "probability": 0.70361328125}, {"start": 1610.52, "end": 1611.58, "word": " absolute", "probability": 0.84912109375}, {"start": 1611.58, "end": 1612.52, "word": " value", "probability": 0.9912109375}, {"start": 1612.52, "end": 1613.22, "word": " X", "probability": 0.9130859375}, {"start": 1613.22, "end": 1613.88, "word": " عليها", "probability": 0.790283203125}, {"start": 1613.88, "end": 1614.5, "word": " زائد", "probability": 0.8819986979166666}, {"start": 1614.5, "end": 1615.08, "word": " constant", "probability": 0.65087890625}, {"start": 1615.08, "end": 1615.7, "word": " C", "probability": 0.92333984375}, {"start": 1615.7, "end": 1616.94, "word": " هدول", "probability": 0.875}, {"start": 1616.94, "end": 1618.26, "word": " التلاتة", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 74, "seek": 163976, "start": 1618.44, "end": 1639.76, "text": "اللي هي تبعات معكوس الدوال المثلثية، تلتة تانيات هما هما، بس بإشارة سالب، تمام، إذا بنروح لستة وعشرين وما أدراك ما ستة وعشرين، تكامل واحد على الجدر التربية، تربية X تربية DX", "tokens": [6027, 20292, 39896, 6055, 3555, 3615, 9307, 20449, 4117, 41779, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632, 12399, 6055, 1211, 2655, 3660, 6055, 7649, 1829, 9307, 8032, 15042, 8032, 15042, 12399, 4724, 3794, 4724, 28814, 8592, 9640, 3660, 8608, 6027, 3555, 12399, 46811, 10943, 12399, 11933, 15730, 44945, 32887, 5016, 5296, 14851, 3660, 4032, 3615, 46309, 9957, 4032, 15042, 5551, 3215, 23557, 4117, 19446, 8608, 2655, 3660, 4032, 3615, 46309, 9957, 12399, 6055, 4117, 10943, 1211, 36764, 24401, 15844, 25724, 3215, 2288, 16712, 25513, 10632, 12399, 6055, 25513, 10632, 1783, 6055, 25513, 10632, 48817], "avg_logprob": -0.275390618480742, "compression_ratio": 1.8245614035087718, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1618.44, "end": 1618.9, "word": "اللي", "probability": 0.403076171875}, {"start": 1618.9, "end": 1619.08, "word": " هي", "probability": 0.4912109375}, {"start": 1619.08, "end": 1619.68, "word": " تبعات", "probability": 0.9439697265625}, {"start": 1619.68, "end": 1620.24, "word": " معكوس", "probability": 0.8326822916666666}, {"start": 1620.24, "end": 1620.88, "word": " الدوال", "probability": 0.794921875}, {"start": 1620.88, "end": 1621.92, "word": " المثلثية،", "probability": 0.8135172526041666}, {"start": 1621.92, "end": 1622.36, "word": " تلتة", "probability": 0.7568359375}, {"start": 1622.36, "end": 1622.84, "word": " تانيات", "probability": 0.864013671875}, {"start": 1622.84, "end": 1623.2, "word": " هما", "probability": 0.865234375}, {"start": 1623.2, "end": 1623.92, "word": " هما،", "probability": 0.7291666666666666}, {"start": 1623.92, "end": 1624.16, "word": " بس", "probability": 0.88232421875}, {"start": 1624.16, "end": 1624.98, "word": " بإشارة", "probability": 0.8947265625}, {"start": 1624.98, "end": 1626.4, "word": " سالب،", "probability": 0.53997802734375}, {"start": 1626.4, "end": 1627.36, "word": " تمام،", "probability": 0.7757975260416666}, {"start": 1627.36, "end": 1627.58, "word": " إذا", "probability": 0.624267578125}, {"start": 1627.58, "end": 1628.36, "word": " بنروح", "probability": 0.7708333333333334}, {"start": 1628.36, "end": 1629.66, "word": " لستة", "probability": 0.86474609375}, {"start": 1629.66, "end": 1630.7, "word": " وعشرين", "probability": 0.9080810546875}, {"start": 1630.7, "end": 1631.44, "word": " وما", "probability": 0.7138671875}, {"start": 1631.44, "end": 1632.08, "word": " أدراك", "probability": 0.64801025390625}, {"start": 1632.08, "end": 1632.3, "word": " ما", "probability": 0.783203125}, {"start": 1632.3, "end": 1632.84, "word": " ستة", "probability": 0.81689453125}, {"start": 1632.84, "end": 1633.84, "word": " وعشرين،", "probability": 0.89560546875}, {"start": 1633.84, "end": 1634.5, "word": " تكامل", "probability": 0.94677734375}, {"start": 1634.5, "end": 1635.08, "word": " واحد", "probability": 0.990478515625}, {"start": 1635.08, "end": 1635.8, "word": " على", "probability": 0.8154296875}, {"start": 1635.8, "end": 1636.36, "word": " الجدر", "probability": 0.8206380208333334}, {"start": 1636.36, "end": 1637.18, "word": " التربية،", "probability": 0.72442626953125}, {"start": 1637.18, "end": 1638.18, "word": " تربية", "probability": 0.6288248697916666}, {"start": 1638.18, "end": 1638.58, "word": " X", "probability": 0.60546875}, {"start": 1638.58, "end": 1639.26, "word": " تربية", "probability": 0.8802083333333334}, {"start": 1639.26, "end": 1639.76, "word": " DX", "probability": 0.9765625}], "temperature": 1.0}, {"id": 75, "seek": 164939, "start": 1640.47, "end": 1649.39, "text": "هذه بس بإشارة موجب بدل السالب، في حالة السالب sign inverse و في حالة الموجب", "tokens": [3224, 24192, 4724, 3794, 4724, 28814, 8592, 9640, 3660, 3714, 29245, 3555, 47525, 1211, 21136, 6027, 3555, 12399, 8978, 11331, 6027, 3660, 21136, 6027, 3555, 1465, 17340, 4032, 8978, 11331, 6027, 3660, 9673, 29245, 3555], "avg_logprob": -0.17697482059399286, "compression_ratio": 1.358695652173913, "no_speech_prob": 0.0, "words": [{"start": 1640.47, "end": 1641.41, "word": "هذه", "probability": 0.820556640625}, {"start": 1641.41, "end": 1641.69, "word": " بس", "probability": 0.6556396484375}, {"start": 1641.69, "end": 1642.65, "word": " بإشارة", "probability": 0.9306640625}, {"start": 1642.65, "end": 1643.89, "word": " موجب", "probability": 0.8873697916666666}, {"start": 1643.89, "end": 1644.43, "word": " بدل", "probability": 0.962158203125}, {"start": 1644.43, "end": 1645.37, "word": " السالب،", "probability": 0.7415771484375}, {"start": 1645.37, "end": 1645.71, "word": " في", "probability": 0.8642578125}, {"start": 1645.71, "end": 1646.11, "word": " حالة", "probability": 0.9918619791666666}, {"start": 1646.11, "end": 1646.71, "word": " السالب", "probability": 0.9208984375}, {"start": 1646.71, "end": 1647.03, "word": " sign", "probability": 0.198486328125}, {"start": 1647.03, "end": 1647.61, "word": " inverse", "probability": 0.8994140625}, {"start": 1647.61, "end": 1648.05, "word": " و", "probability": 0.85986328125}, {"start": 1648.05, "end": 1648.21, "word": " في", "probability": 0.6025390625}, {"start": 1648.21, "end": 1648.61, "word": " حالة", "probability": 0.9943033854166666}, {"start": 1648.61, "end": 1649.39, "word": " الموجب", "probability": 0.9793294270833334}], "temperature": 1.0}, {"id": 76, "seek": 167586, "start": 1650.68, "end": 1675.86, "text": "في حالة المجمعشة دي؟ Sin inverse تمام يبقى Sin inverse X على A زائد constant C سبعة و عشرين تكامل لدي X على الجدري التربيهي ل X تربيع ماقص A تربيع", "tokens": [41185, 11331, 6027, 3660, 9673, 7435, 2304, 3615, 8592, 3660, 11778, 1829, 22807, 11187, 17340, 46811, 10943, 7251, 3555, 4587, 7578, 11187, 17340, 1783, 15844, 316, 30767, 16373, 3215, 5754, 383, 8608, 3555, 27884, 4032, 6225, 46309, 9957, 6055, 4117, 10943, 1211, 5296, 16254, 1783, 15844, 25724, 3215, 16572, 16712, 2288, 21292, 3224, 1829, 5296, 1783, 6055, 2288, 21292, 3615, 3714, 995, 4587, 9381, 316, 6055, 2288, 21292, 3615], "avg_logprob": -0.3066964362348829, "compression_ratio": 1.4161490683229814, "no_speech_prob": 0.0, "words": [{"start": 1650.68, "end": 1650.86, "word": "في", "probability": 0.23779296875}, {"start": 1650.86, "end": 1651.24, "word": " حالة", "probability": 0.9796549479166666}, {"start": 1651.24, "end": 1652.02, "word": " المجمعشة", "probability": 0.7274576822916666}, {"start": 1652.02, "end": 1652.68, "word": " دي؟", "probability": 0.6418050130208334}, {"start": 1652.68, "end": 1653.52, "word": " Sin", "probability": 0.1251220703125}, {"start": 1653.52, "end": 1655.14, "word": " inverse", "probability": 0.6767578125}, {"start": 1655.14, "end": 1656.28, "word": " تمام", "probability": 0.6318359375}, {"start": 1656.28, "end": 1657.38, "word": " يبقى", "probability": 0.926513671875}, {"start": 1657.38, "end": 1658.08, "word": " Sin", "probability": 0.54833984375}, {"start": 1658.08, "end": 1659.6, "word": " inverse", "probability": 0.89404296875}, {"start": 1659.6, "end": 1660.44, "word": " X", "probability": 0.6201171875}, {"start": 1660.44, "end": 1661.04, "word": " على", "probability": 0.64404296875}, {"start": 1661.04, "end": 1661.54, "word": " A", "probability": 0.630859375}, {"start": 1661.54, "end": 1662.68, "word": " زائد", "probability": 0.810546875}, {"start": 1662.68, "end": 1663.32, "word": " constant", "probability": 0.64990234375}, {"start": 1663.32, "end": 1664.0, "word": " C", "probability": 0.90625}, {"start": 1664.0, "end": 1665.16, "word": " سبعة", "probability": 0.77587890625}, {"start": 1665.16, "end": 1665.36, "word": " و", "probability": 0.81103515625}, {"start": 1665.36, "end": 1666.02, "word": " عشرين", "probability": 0.8201497395833334}, {"start": 1666.02, "end": 1667.48, "word": " تكامل", "probability": 0.955810546875}, {"start": 1667.48, "end": 1668.42, "word": " لدي", "probability": 0.89306640625}, {"start": 1668.42, "end": 1669.02, "word": " X", "probability": 0.97412109375}, {"start": 1669.02, "end": 1669.86, "word": " على", "probability": 0.91943359375}, {"start": 1669.86, "end": 1670.88, "word": " الجدري", "probability": 0.5716959635416666}, {"start": 1670.88, "end": 1671.96, "word": " التربيهي", "probability": 0.85732421875}, {"start": 1671.96, "end": 1672.5, "word": " ل", "probability": 0.9072265625}, {"start": 1672.5, "end": 1672.82, "word": " X", "probability": 0.5556640625}, {"start": 1672.82, "end": 1673.64, "word": " تربيع", "probability": 0.787109375}, {"start": 1673.64, "end": 1674.88, "word": " ماقص", "probability": 0.7379150390625}, {"start": 1674.88, "end": 1675.2, "word": " A", "probability": 0.81787109375}, {"start": 1675.2, "end": 1675.86, "word": " تربيع", "probability": 0.9344482421875}], "temperature": 1.0}, {"id": 77, "seek": 170034, "start": 1677.64, "end": 1700.34, "text": "يبقى هذا الكلام جوش inverse X على A زائد كونستان C تمانية و عشرين تمانية و عشرين بدنا تكامل لمام لواحد على A تربية ناقص X تربية X", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 10874, 2407, 8592, 17340, 1783, 15844, 316, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 383, 46811, 7649, 10632, 4032, 6225, 46309, 9957, 46811, 7649, 10632, 4032, 6225, 46309, 9957, 47525, 8315, 6055, 4117, 10943, 1211, 32767, 10943, 5296, 14407, 24401, 15844, 316, 6055, 2288, 21292, 3660, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3660, 1783], "avg_logprob": -0.28365384615384615, "compression_ratio": 1.5460992907801419, "no_speech_prob": 0.0, "words": [{"start": 1677.64, "end": 1678.18, "word": "يبقى", "probability": 0.806396484375}, {"start": 1678.18, "end": 1678.46, "word": " هذا", "probability": 0.857421875}, {"start": 1678.46, "end": 1679.18, "word": " الكلام", "probability": 0.9599609375}, {"start": 1679.18, "end": 1680.32, "word": " جوش", "probability": 0.6595458984375}, {"start": 1680.32, "end": 1681.42, "word": " inverse", "probability": 0.599609375}, {"start": 1681.42, "end": 1682.54, "word": " X", "probability": 0.45263671875}, {"start": 1682.54, "end": 1683.48, "word": " على", "probability": 0.72607421875}, {"start": 1683.48, "end": 1684.04, "word": " A", "probability": 0.59814453125}, {"start": 1684.04, "end": 1684.98, "word": " زائد", "probability": 0.8331705729166666}, {"start": 1684.98, "end": 1685.66, "word": " كونستان", "probability": 0.65887451171875}, {"start": 1685.66, "end": 1686.06, "word": " C", "probability": 0.3955078125}, {"start": 1686.06, "end": 1687.62, "word": " تمانية", "probability": 0.7557779947916666}, {"start": 1687.62, "end": 1687.8, "word": " و", "probability": 0.9208984375}, {"start": 1687.8, "end": 1688.44, "word": " عشرين", "probability": 0.8841145833333334}, {"start": 1688.44, "end": 1690.18, "word": " تمانية", "probability": 0.8101399739583334}, {"start": 1690.18, "end": 1690.36, "word": " و", "probability": 0.99365234375}, {"start": 1690.36, "end": 1690.88, "word": " عشرين", "probability": 0.9513346354166666}, {"start": 1690.88, "end": 1691.42, "word": " بدنا", "probability": 0.871826171875}, {"start": 1691.42, "end": 1692.3, "word": " تكامل", "probability": 0.9537353515625}, {"start": 1692.3, "end": 1692.96, "word": " لمام", "probability": 0.506103515625}, {"start": 1692.96, "end": 1695.44, "word": " لواحد", "probability": 0.7861328125}, {"start": 1695.44, "end": 1696.22, "word": " على", "probability": 0.8486328125}, {"start": 1696.22, "end": 1696.56, "word": " A", "probability": 0.55859375}, {"start": 1696.56, "end": 1697.38, "word": " تربية", "probability": 0.7447509765625}, {"start": 1697.38, "end": 1698.44, "word": " ناقص", "probability": 0.9554443359375}, {"start": 1698.44, "end": 1698.8, "word": " X", "probability": 0.9619140625}, {"start": 1698.8, "end": 1699.9, "word": " تربية", "probability": 0.9388427734375}, {"start": 1699.9, "end": 1700.34, "word": " X", "probability": 0.7333984375}], "temperature": 1.0}, {"id": 78, "seek": 172914, "start": 1701.18, "end": 1729.14, "text": "قول هذا له قيمتان القيمة الأولى واحد على ا تانش inverse x على a زاد constant c وبشرط absolute value ل x أقل من a او واحد على a cotangent واحد على a cotangent", "tokens": [39648, 23758, 46740, 12174, 32640, 2655, 7649, 25062, 32640, 3660, 16247, 12610, 7578, 36764, 24401, 15844, 1975, 6055, 7649, 8592, 17340, 2031, 15844, 257, 30767, 18513, 416, 372, 394, 269, 46599, 46309, 9566, 8236, 2158, 5296, 2031, 5551, 4587, 1211, 9154, 257, 1975, 2407, 36764, 24401, 15844, 257, 26529, 656, 317, 36764, 24401, 15844, 257, 26529, 656, 317], "avg_logprob": -0.27356991323374086, "compression_ratio": 1.509933774834437, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1701.18, "end": 1701.72, "word": "قول", "probability": 0.294189453125}, {"start": 1701.72, "end": 1702.18, "word": " هذا", "probability": 0.79345703125}, {"start": 1702.18, "end": 1702.62, "word": " له", "probability": 0.98095703125}, {"start": 1702.62, "end": 1704.06, "word": " قيمتان", "probability": 0.973876953125}, {"start": 1704.06, "end": 1705.44, "word": " القيمة", "probability": 0.88427734375}, {"start": 1705.44, "end": 1705.98, "word": " الأولى", "probability": 0.9666341145833334}, {"start": 1705.98, "end": 1706.56, "word": " واحد", "probability": 0.864501953125}, {"start": 1706.56, "end": 1707.08, "word": " على", "probability": 0.57275390625}, {"start": 1707.08, "end": 1707.56, "word": " ا", "probability": 0.4306640625}, {"start": 1707.56, "end": 1709.2, "word": " تانش", "probability": 0.7412109375}, {"start": 1709.2, "end": 1710.22, "word": " inverse", "probability": 0.73583984375}, {"start": 1710.22, "end": 1711.0, "word": " x", "probability": 0.62255859375}, {"start": 1711.0, "end": 1711.4, "word": " على", "probability": 0.62255859375}, {"start": 1711.4, "end": 1711.94, "word": " a", "probability": 0.9423828125}, {"start": 1711.94, "end": 1712.78, "word": " زاد", "probability": 0.5003662109375}, {"start": 1712.78, "end": 1713.56, "word": " constant", "probability": 0.6698404947916666}, {"start": 1713.56, "end": 1713.94, "word": " c", "probability": 0.75732421875}, {"start": 1713.94, "end": 1715.04, "word": " وبشرط", "probability": 0.7548828125}, {"start": 1715.04, "end": 1715.58, "word": " absolute", "probability": 0.79150390625}, {"start": 1715.58, "end": 1716.3, "word": " value", "probability": 0.99169921875}, {"start": 1716.3, "end": 1716.5, "word": " ل", "probability": 0.822265625}, {"start": 1716.5, "end": 1716.98, "word": " x", "probability": 0.6162109375}, {"start": 1716.98, "end": 1718.36, "word": " أقل", "probability": 0.85546875}, {"start": 1718.36, "end": 1718.8, "word": " من", "probability": 0.9951171875}, {"start": 1718.8, "end": 1719.26, "word": " a", "probability": 0.86572265625}, {"start": 1719.26, "end": 1720.12, "word": " او", "probability": 0.855712890625}, {"start": 1720.12, "end": 1721.26, "word": " واحد", "probability": 0.979248046875}, {"start": 1721.26, "end": 1721.68, "word": " على", "probability": 0.80810546875}, {"start": 1721.68, "end": 1722.4, "word": " a", "probability": 0.59130859375}, {"start": 1722.4, "end": 1724.52, "word": " cotangent", "probability": 0.6114095052083334}, {"start": 1724.52, "end": 1726.22, "word": " واحد", "probability": 0.96728515625}, {"start": 1726.22, "end": 1726.56, "word": " على", "probability": 0.89697265625}, {"start": 1726.56, "end": 1727.24, "word": " a", "probability": 0.74658203125}, {"start": 1727.24, "end": 1729.14, "word": " cotangent", "probability": 0.9744466145833334}], "temperature": 1.0}, {"id": 79, "seek": 175804, "start": 1730.02, "end": 1758.04, "text": "إنفرس X على A زائد constant C absolute value لل X أكبر من ال A آخر تكاملين يبقى التكامل التاسع والعشرون بجول مياتي تكامل واحد على X الجدرى التربية إلى A تربية ناقص X تربية عضية X", "tokens": [28814, 1863, 5172, 2288, 3794, 1783, 15844, 316, 30767, 16373, 3215, 5754, 383, 8236, 2158, 24976, 1783, 5551, 4117, 26890, 9154, 2423, 316, 19753, 34740, 6055, 4117, 10943, 1211, 9957, 7251, 3555, 4587, 7578, 16712, 4117, 10943, 1211, 16712, 32277, 3615, 16070, 3615, 46309, 11536, 4724, 7435, 12610, 3714, 1829, 9307, 1829, 6055, 4117, 10943, 1211, 36764, 24401, 15844, 1783, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 30731, 316, 6055, 25513, 10632, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 6225, 11242, 10632, 1783], "avg_logprob": -0.2761029481887817, "compression_ratio": 1.5934065934065933, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1730.02, "end": 1731.44, "word": "إنفرس", "probability": 0.686907958984375}, {"start": 1731.44, "end": 1732.0, "word": " X", "probability": 0.63720703125}, {"start": 1732.0, "end": 1732.62, "word": " على", "probability": 0.5673828125}, {"start": 1732.62, "end": 1733.22, "word": " A", "probability": 0.8876953125}, {"start": 1733.22, "end": 1734.2, "word": " زائد", "probability": 0.6353352864583334}, {"start": 1734.2, "end": 1734.68, "word": " constant", "probability": 0.25146484375}, {"start": 1734.68, "end": 1735.46, "word": " C", "probability": 0.828125}, {"start": 1735.46, "end": 1736.42, "word": " absolute", "probability": 0.6650390625}, {"start": 1736.42, "end": 1737.04, "word": " value", "probability": 0.984375}, {"start": 1737.04, "end": 1737.32, "word": " لل", "probability": 0.333984375}, {"start": 1737.32, "end": 1737.76, "word": " X", "probability": 0.5107421875}, {"start": 1737.76, "end": 1739.1, "word": " أكبر", "probability": 0.9480794270833334}, {"start": 1739.1, "end": 1739.4, "word": " من", "probability": 0.98388671875}, {"start": 1739.4, "end": 1739.74, "word": " ال", "probability": 0.470947265625}, {"start": 1739.74, "end": 1739.96, "word": " A", "probability": 0.78955078125}, {"start": 1739.96, "end": 1741.76, "word": " آخر", "probability": 0.6851806640625}, {"start": 1741.76, "end": 1742.94, "word": " تكاملين", "probability": 0.97294921875}, {"start": 1742.94, "end": 1745.52, "word": " يبقى", "probability": 0.9407958984375}, {"start": 1745.52, "end": 1746.4, "word": " التكامل", "probability": 0.89794921875}, {"start": 1746.4, "end": 1747.44, "word": " التاسع", "probability": 0.9850260416666666}, {"start": 1747.44, "end": 1748.94, "word": " والعشرون", "probability": 0.951416015625}, {"start": 1748.94, "end": 1749.54, "word": " بجول", "probability": 0.83984375}, {"start": 1749.54, "end": 1750.36, "word": " مياتي", "probability": 0.69854736328125}, {"start": 1750.36, "end": 1751.32, "word": " تكامل", "probability": 0.9505615234375}, {"start": 1751.32, "end": 1751.84, "word": " واحد", "probability": 0.988037109375}, {"start": 1751.84, "end": 1752.62, "word": " على", "probability": 0.87060546875}, {"start": 1752.62, "end": 1753.08, "word": " X", "probability": 0.978515625}, {"start": 1753.08, "end": 1753.86, "word": " الجدرى", "probability": 0.7569580078125}, {"start": 1753.86, "end": 1754.46, "word": " التربية", "probability": 0.8408203125}, {"start": 1754.46, "end": 1754.76, "word": " إلى", "probability": 0.469482421875}, {"start": 1754.76, "end": 1754.98, "word": " A", "probability": 0.896484375}, {"start": 1754.98, "end": 1755.58, "word": " تربية", "probability": 0.93212890625}, {"start": 1755.58, "end": 1756.28, "word": " ناقص", "probability": 0.755126953125}, {"start": 1756.28, "end": 1756.66, "word": " X", "probability": 0.98681640625}, {"start": 1756.66, "end": 1757.22, "word": " تربية", "probability": 0.94970703125}, {"start": 1757.22, "end": 1757.76, "word": " عضية", "probability": 0.3896077473958333}, {"start": 1757.76, "end": 1758.04, "word": " X", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 80, "seek": 178311, "start": 1758.93, "end": 1783.11, "text": "يبقى هذا سالب واحد على A في C inverse X على A زائد constant C تلاتين تكامل واحد على X الجدرى التربية اللي A تربية زاد X تربية DX يسوى سالب واحد على A", "tokens": [1829, 3555, 4587, 7578, 23758, 8608, 6027, 3555, 36764, 24401, 15844, 316, 8978, 383, 17340, 1783, 15844, 316, 30767, 16373, 3215, 5754, 383, 6055, 1211, 9307, 9957, 6055, 4117, 10943, 1211, 36764, 24401, 15844, 1783, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 13672, 1829, 316, 6055, 25513, 10632, 30767, 18513, 1783, 6055, 25513, 10632, 48817, 7251, 3794, 2407, 7578, 8608, 6027, 3555, 36764, 24401, 15844, 316], "avg_logprob": -0.2330923449637285, "compression_ratio": 1.5933333333333333, "no_speech_prob": 0.0, "words": [{"start": 1758.93, "end": 1759.53, "word": "يبقى", "probability": 0.7900390625}, {"start": 1759.53, "end": 1759.99, "word": " هذا", "probability": 0.59619140625}, {"start": 1759.99, "end": 1760.97, "word": " سالب", "probability": 0.6859537760416666}, {"start": 1760.97, "end": 1761.77, "word": " واحد", "probability": 0.96337890625}, {"start": 1761.77, "end": 1762.35, "word": " على", "probability": 0.78662109375}, {"start": 1762.35, "end": 1762.97, "word": " A", "probability": 0.17578125}, {"start": 1762.97, "end": 1763.79, "word": " في", "probability": 0.62939453125}, {"start": 1763.79, "end": 1764.23, "word": " C", "probability": 0.1998291015625}, {"start": 1764.23, "end": 1765.71, "word": " inverse", "probability": 0.53271484375}, {"start": 1765.71, "end": 1766.67, "word": " X", "probability": 0.86474609375}, {"start": 1766.67, "end": 1767.27, "word": " على", "probability": 0.6982421875}, {"start": 1767.27, "end": 1767.81, "word": " A", "probability": 0.962890625}, {"start": 1767.81, "end": 1768.99, "word": " زائد", "probability": 0.85400390625}, {"start": 1768.99, "end": 1769.61, "word": " constant", "probability": 0.467041015625}, {"start": 1769.61, "end": 1770.37, "word": " C", "probability": 0.9453125}, {"start": 1770.37, "end": 1772.27, "word": " تلاتين", "probability": 0.928955078125}, {"start": 1772.27, "end": 1773.81, "word": " تكامل", "probability": 0.975830078125}, {"start": 1773.81, "end": 1774.91, "word": " واحد", "probability": 0.970947265625}, {"start": 1774.91, "end": 1775.57, "word": " على", "probability": 0.86279296875}, {"start": 1775.57, "end": 1775.99, "word": " X", "probability": 0.986328125}, {"start": 1775.99, "end": 1776.95, "word": " الجدرى", "probability": 0.80078125}, {"start": 1776.95, "end": 1777.51, "word": " التربية", "probability": 0.8722330729166666}, {"start": 1777.51, "end": 1777.69, "word": " اللي", "probability": 0.5177001953125}, {"start": 1777.69, "end": 1777.91, "word": " A", "probability": 0.78857421875}, {"start": 1777.91, "end": 1778.45, "word": " تربية", "probability": 0.9363606770833334}, {"start": 1778.45, "end": 1778.87, "word": " زاد", "probability": 0.806396484375}, {"start": 1778.87, "end": 1779.13, "word": " X", "probability": 0.97607421875}, {"start": 1779.13, "end": 1779.61, "word": " تربية", "probability": 0.9728190104166666}, {"start": 1779.61, "end": 1780.15, "word": " DX", "probability": 0.984375}, {"start": 1780.15, "end": 1781.19, "word": " يسوى", "probability": 0.8582763671875}, {"start": 1781.19, "end": 1781.83, "word": " سالب", "probability": 0.8180338541666666}, {"start": 1781.83, "end": 1782.33, "word": " واحد", "probability": 0.981689453125}, {"start": 1782.33, "end": 1782.67, "word": " على", "probability": 0.9111328125}, {"start": 1782.67, "end": 1783.11, "word": " A", "probability": 0.98828125}], "temperature": 1.0}, {"id": 81, "seek": 179079, "start": 1783.31, "end": 1790.79, "text": "كسيش inverse absolute value لل X على A زائد constant C", "tokens": [4117, 3794, 1829, 8592, 17340, 8236, 2158, 24976, 1783, 15844, 316, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.6475183823529411, "compression_ratio": 0.881578947368421, "no_speech_prob": 0.0, "words": [{"start": 1783.31, "end": 1784.13, "word": "كسيش", "probability": 0.4409332275390625}, {"start": 1784.13, "end": 1784.67, "word": " inverse", "probability": 0.50830078125}, {"start": 1784.67, "end": 1785.47, "word": " absolute", "probability": 0.91650390625}, {"start": 1785.47, "end": 1786.35, "word": " value", "probability": 0.986328125}, {"start": 1786.35, "end": 1787.03, "word": " لل", "probability": 0.4033203125}, {"start": 1787.03, "end": 1787.41, "word": " X", "probability": 0.4609375}, {"start": 1787.41, "end": 1787.71, "word": " على", "probability": 0.75830078125}, {"start": 1787.71, "end": 1788.15, "word": " A", "probability": 0.66796875}, {"start": 1788.15, "end": 1789.31, "word": " زائد", "probability": 0.7218424479166666}, {"start": 1789.31, "end": 1790.01, "word": " constant", "probability": 0.1712646484375}, {"start": 1790.01, "end": 1790.79, "word": " C", "probability": 0.76708984375}], "temperature": 1.0}, {"id": 82, "seek": 182241, "start": 1793.15, "end": 1822.41, "text": "يبقى هدول التلاتين ده كامل اللي بده نبني عليهم كل دراستنا في هذا ال chapter ان شاء الله يعني مشان تفهم كل سؤال والله كل مثال موجود في هذا ال chapter بدك تكون ملمب بهذه الثلاثين وهذا مجمل مدرسة في الثانوية العامة وفي calculus A وفي calculus B اللي هو chapter 7", "tokens": [1829, 3555, 4587, 7578, 8032, 3215, 12610, 16712, 1211, 9307, 9957, 11778, 3224, 9122, 10943, 1211, 13672, 1829, 47525, 3224, 8717, 3555, 22653, 25894, 16095, 28242, 11778, 23557, 14851, 8315, 8978, 23758, 2423, 7187, 16472, 13412, 16606, 21984, 37495, 22653, 37893, 7649, 6055, 5172, 16095, 28242, 8608, 33604, 6027, 16070, 43761, 28242, 50113, 6027, 3714, 29245, 23328, 8978, 23758, 2423, 7187, 47525, 4117, 6055, 30544, 3714, 19528, 3555, 39627, 24192, 6024, 104, 1211, 5718, 104, 9957, 37037, 15730, 3714, 7435, 42213, 3714, 3215, 2288, 3794, 3660, 8978, 6024, 104, 7649, 2407, 10632, 18863, 10943, 3660, 4032, 41185, 33400, 316, 4032, 41185, 33400, 363, 13672, 1829, 31439, 7187, 1614], "avg_logprob": -0.1515194932255176, "compression_ratio": 1.8893805309734513, "no_speech_prob": 5.9604644775390625e-06, "words": [{"start": 1793.15, "end": 1793.65, "word": "يبقى", "probability": 0.74017333984375}, {"start": 1793.65, "end": 1794.15, "word": " هدول", "probability": 0.8253580729166666}, {"start": 1794.15, "end": 1795.29, "word": " التلاتين", "probability": 0.83447265625}, {"start": 1795.29, "end": 1795.57, "word": " ده", "probability": 0.613037109375}, {"start": 1795.57, "end": 1795.97, "word": " كامل", "probability": 0.9152018229166666}, {"start": 1795.97, "end": 1796.15, "word": " اللي", "probability": 0.95068359375}, {"start": 1796.15, "end": 1796.49, "word": " بده", "probability": 0.621826171875}, {"start": 1796.49, "end": 1796.81, "word": " نبني", "probability": 0.9202473958333334}, {"start": 1796.81, "end": 1797.17, "word": " عليهم", "probability": 0.97509765625}, {"start": 1797.17, "end": 1797.49, "word": " كل", "probability": 0.98046875}, {"start": 1797.49, "end": 1798.45, "word": " دراستنا", "probability": 0.965087890625}, {"start": 1798.45, "end": 1799.15, "word": " في", "probability": 0.857421875}, {"start": 1799.15, "end": 1799.69, "word": " هذا", "probability": 0.97021484375}, {"start": 1799.69, "end": 1800.05, "word": " ال", "probability": 0.68798828125}, {"start": 1800.05, "end": 1800.43, "word": " chapter", "probability": 0.7841796875}, {"start": 1800.43, "end": 1800.91, "word": " ان", "probability": 0.51953125}, {"start": 1800.91, "end": 1801.29, "word": " شاء", "probability": 0.98876953125}, {"start": 1801.29, "end": 1801.65, "word": " الله", "probability": 0.96630859375}, {"start": 1801.65, "end": 1802.65, "word": " يعني", "probability": 0.9169921875}, {"start": 1802.65, "end": 1803.05, "word": " مشان", "probability": 0.60205078125}, {"start": 1803.05, "end": 1803.55, "word": " تفهم", "probability": 0.9972330729166666}, {"start": 1803.55, "end": 1803.89, "word": " كل", "probability": 0.96435546875}, {"start": 1803.89, "end": 1804.51, "word": " سؤال", "probability": 0.9835611979166666}, {"start": 1804.51, "end": 1804.79, "word": " والله", "probability": 0.767333984375}, {"start": 1804.79, "end": 1805.11, "word": " كل", "probability": 0.78369140625}, {"start": 1805.11, "end": 1805.71, "word": " مثال", "probability": 0.992431640625}, {"start": 1805.71, "end": 1806.63, "word": " موجود", "probability": 0.9874674479166666}, {"start": 1806.63, "end": 1806.81, "word": " في", "probability": 0.9892578125}, {"start": 1806.81, "end": 1807.13, "word": " هذا", "probability": 0.9775390625}, {"start": 1807.13, "end": 1807.27, "word": " ال", "probability": 0.91357421875}, {"start": 1807.27, "end": 1807.65, "word": " chapter", "probability": 0.9541015625}, {"start": 1807.65, "end": 1808.69, "word": " بدك", "probability": 0.920166015625}, {"start": 1808.69, "end": 1809.95, "word": " تكون", "probability": 0.820068359375}, {"start": 1809.95, "end": 1811.13, "word": " ملمب", "probability": 0.8225911458333334}, {"start": 1811.13, "end": 1811.67, "word": " بهذه", "probability": 0.81201171875}, {"start": 1811.67, "end": 1812.47, "word": " الثلاثين", "probability": 0.91357421875}, {"start": 1812.47, "end": 1812.95, "word": " وهذا", "probability": 0.8349609375}, {"start": 1812.95, "end": 1813.59, "word": " مجمل", "probability": 0.9303385416666666}, {"start": 1813.59, "end": 1815.09, "word": " مدرسة", "probability": 0.93662109375}, {"start": 1815.09, "end": 1815.33, "word": " في", "probability": 0.98095703125}, {"start": 1815.33, "end": 1815.99, "word": " الثانوية", "probability": 0.9666015625}, {"start": 1815.99, "end": 1817.07, "word": " العامة", "probability": 0.9944661458333334}, {"start": 1817.07, "end": 1817.53, "word": " وفي", "probability": 0.976318359375}, {"start": 1817.53, "end": 1817.89, "word": " calculus", "probability": 0.7197265625}, {"start": 1817.89, "end": 1818.81, "word": " A", "probability": 0.412841796875}, {"start": 1818.81, "end": 1819.59, "word": " وفي", "probability": 0.9287109375}, {"start": 1819.59, "end": 1820.05, "word": " calculus", "probability": 0.9794921875}, {"start": 1820.05, "end": 1820.59, "word": " B", "probability": 0.9609375}, {"start": 1820.59, "end": 1820.77, "word": " اللي", "probability": 0.77978515625}, {"start": 1820.77, "end": 1820.93, "word": " هو", "probability": 0.986328125}, {"start": 1820.93, "end": 1821.33, "word": " chapter", "probability": 0.76220703125}, {"start": 1821.33, "end": 1822.41, "word": " 7", "probability": 0.68017578125}], "temperature": 1.0}, {"id": 83, "seek": 184033, "start": 1823.41, "end": 1840.33, "text": "طيب هدول هم الأساسيات اللي بنبني عليهم دراستنا في هذا ال chapter وبالتالي بننتقل إلى أول طريقة من طرق التكامل و هذه أخدتوها في الثانوية العامة لكن انتوا أخدتوها كعنوان", "tokens": [9566, 1829, 3555, 8032, 3215, 12610, 8032, 2304, 16247, 3794, 32277, 1829, 9307, 13672, 1829, 44945, 3555, 22653, 25894, 16095, 11778, 23557, 14851, 8315, 8978, 23758, 2423, 7187, 46599, 6027, 2655, 6027, 1829, 44945, 29399, 4587, 1211, 30731, 5551, 12610, 23032, 16572, 28671, 9154, 23032, 2288, 4587, 16712, 4117, 10943, 1211, 4032, 29538, 5551, 9778, 3215, 2655, 2407, 11296, 8978, 6024, 104, 7649, 2407, 10632, 18863, 10943, 3660, 44381, 16472, 2655, 14407, 5551, 9778, 3215, 2655, 2407, 11296, 9122, 3615, 1863, 2407, 7649], "avg_logprob": -0.1417410760408356, "compression_ratio": 1.6555555555555554, "no_speech_prob": 0.0, "words": [{"start": 1823.41, "end": 1824.03, "word": "طيب", "probability": 0.7477213541666666}, {"start": 1824.03, "end": 1824.77, "word": " هدول", "probability": 0.8844401041666666}, {"start": 1824.77, "end": 1825.09, "word": " هم", "probability": 0.8203125}, {"start": 1825.09, "end": 1826.35, "word": " الأساسيات", "probability": 0.96689453125}, {"start": 1826.35, "end": 1827.01, "word": " اللي", "probability": 0.843994140625}, {"start": 1827.01, "end": 1827.49, "word": " بنبني", "probability": 0.601806640625}, {"start": 1827.49, "end": 1827.83, "word": " عليهم", "probability": 0.98779296875}, {"start": 1827.83, "end": 1828.41, "word": " دراستنا", "probability": 0.95166015625}, {"start": 1828.41, "end": 1828.59, "word": " في", "probability": 0.939453125}, {"start": 1828.59, "end": 1828.85, "word": " هذا", "probability": 0.947265625}, {"start": 1828.85, "end": 1828.95, "word": " ال", "probability": 0.59521484375}, {"start": 1828.95, "end": 1829.25, "word": " chapter", "probability": 0.82470703125}, {"start": 1829.25, "end": 1830.25, "word": " وبالتالي", "probability": 0.882861328125}, {"start": 1830.25, "end": 1831.73, "word": " بننتقل", "probability": 0.933349609375}, {"start": 1831.73, "end": 1832.19, "word": " إلى", "probability": 0.740234375}, {"start": 1832.19, "end": 1833.11, "word": " أول", "probability": 0.937744140625}, {"start": 1833.11, "end": 1834.09, "word": " طريقة", "probability": 0.9903971354166666}, {"start": 1834.09, "end": 1834.35, "word": " من", "probability": 0.92822265625}, {"start": 1834.35, "end": 1834.79, "word": " طرق", "probability": 0.9830729166666666}, {"start": 1834.79, "end": 1835.63, "word": " التكامل", "probability": 0.98291015625}, {"start": 1835.63, "end": 1836.19, "word": " و", "probability": 0.440185546875}, {"start": 1836.19, "end": 1836.43, "word": " هذه", "probability": 0.270751953125}, {"start": 1836.43, "end": 1836.99, "word": " أخدتوها", "probability": 0.9243977864583334}, {"start": 1836.99, "end": 1837.11, "word": " في", "probability": 0.96240234375}, {"start": 1837.11, "end": 1837.77, "word": " الثانوية", "probability": 0.95419921875}, {"start": 1837.77, "end": 1838.19, "word": " العامة", "probability": 0.99365234375}, {"start": 1838.19, "end": 1838.43, "word": " لكن", "probability": 0.849609375}, {"start": 1838.43, "end": 1838.71, "word": " انتوا", "probability": 0.7264811197916666}, {"start": 1838.71, "end": 1839.29, "word": " أخدتوها", "probability": 0.9712727864583334}, {"start": 1839.29, "end": 1840.33, "word": " كعنوان", "probability": 0.96552734375}], "temperature": 1.0}, {"id": 84, "seek": 186112, "start": 1840.74, "end": 1861.12, "text": "و سؤالين تلاتة صغار لكن احنا هناخدها تفصيليا ان شاء الله يبقى اول section اننا شباب section تمانية واحد تمانية واحد اسمه integration by parts", "tokens": [2407, 8608, 33604, 6027, 9957, 6055, 1211, 9307, 3660, 20328, 17082, 9640, 44381, 1975, 5016, 8315, 8032, 1863, 47283, 3215, 11296, 6055, 5172, 9381, 1829, 20292, 995, 16472, 13412, 16606, 21984, 7251, 3555, 4587, 7578, 1975, 12610, 3541, 16472, 8315, 13412, 3555, 16758, 3541, 46811, 7649, 10632, 36764, 24401, 46811, 7649, 10632, 36764, 24401, 24525, 2304, 3224, 10980, 538, 3166], "avg_logprob": -0.18160860558025171, "compression_ratio": 1.4675324675324675, "no_speech_prob": 0.0, "words": [{"start": 1840.74, "end": 1840.96, "word": "و", "probability": 0.32080078125}, {"start": 1840.96, "end": 1841.52, "word": " سؤالين", "probability": 0.83441162109375}, {"start": 1841.52, "end": 1841.98, "word": " تلاتة", "probability": 0.89306640625}, {"start": 1841.98, "end": 1842.48, "word": " صغار", "probability": 0.8343098958333334}, {"start": 1842.48, "end": 1843.04, "word": " لكن", "probability": 0.59326171875}, {"start": 1843.04, "end": 1843.46, "word": " احنا", "probability": 0.93896484375}, {"start": 1843.46, "end": 1844.26, "word": " هناخدها", "probability": 0.94951171875}, {"start": 1844.26, "end": 1845.7, "word": " تفصيليا", "probability": 0.8038736979166666}, {"start": 1845.7, "end": 1846.28, "word": " ان", "probability": 0.82177734375}, {"start": 1846.28, "end": 1846.7, "word": " شاء", "probability": 0.98974609375}, {"start": 1846.7, "end": 1847.1, "word": " الله", "probability": 0.947265625}, {"start": 1847.1, "end": 1848.02, "word": " يبقى", "probability": 0.961669921875}, {"start": 1848.02, "end": 1848.5, "word": " اول", "probability": 0.81884765625}, {"start": 1848.5, "end": 1849.06, "word": " section", "probability": 0.650390625}, {"start": 1849.06, "end": 1849.48, "word": " اننا", "probability": 0.4766845703125}, {"start": 1849.48, "end": 1850.02, "word": " شباب", "probability": 0.9684244791666666}, {"start": 1850.02, "end": 1850.84, "word": " section", "probability": 0.72607421875}, {"start": 1850.84, "end": 1852.4, "word": " تمانية", "probability": 0.75146484375}, {"start": 1852.4, "end": 1853.02, "word": " واحد", "probability": 0.96826171875}, {"start": 1853.02, "end": 1854.1, "word": " تمانية", "probability": 0.8658854166666666}, {"start": 1854.1, "end": 1854.58, "word": " واحد", "probability": 0.993408203125}, {"start": 1854.58, "end": 1855.4, "word": " اسمه", "probability": 0.9544270833333334}, {"start": 1855.4, "end": 1856.96, "word": " integration", "probability": 0.9345703125}, {"start": 1856.96, "end": 1860.44, "word": " by", "probability": 0.955078125}, {"start": 1860.44, "end": 1861.12, "word": " parts", "probability": 0.88720703125}], "temperature": 1.0}, {"id": 85, "seek": 187403, "start": 1865.55, "end": 1874.03, "text": "بابا يقولولكوا المدرسين في الثانوية التكامل بالأجزاء أو بالتجزيق", "tokens": [3555, 16758, 995, 7251, 39648, 12610, 4117, 14407, 9673, 3215, 2288, 3794, 9957, 8978, 6024, 104, 7649, 2407, 10632, 16712, 4117, 10943, 1211, 20666, 10721, 7435, 11622, 16606, 34051, 20666, 2655, 7435, 11622, 1829, 4587], "avg_logprob": -0.23546006944444445, "compression_ratio": 1.348314606741573, "no_speech_prob": 0.0, "words": [{"start": 1865.55, "end": 1865.95, "word": "بابا", "probability": 0.494873046875}, {"start": 1865.95, "end": 1866.51, "word": " يقولولكوا", "probability": 0.783056640625}, {"start": 1866.51, "end": 1867.15, "word": " المدرسين", "probability": 0.968359375}, {"start": 1867.15, "end": 1867.93, "word": " في", "probability": 0.80908203125}, {"start": 1867.93, "end": 1868.57, "word": " الثانوية", "probability": 0.96123046875}, {"start": 1868.57, "end": 1869.45, "word": " التكامل", "probability": 0.8994140625}, {"start": 1869.45, "end": 1871.07, "word": " بالأجزاء", "probability": 0.890625}, {"start": 1871.07, "end": 1873.13, "word": " أو", "probability": 0.52783203125}, {"start": 1873.13, "end": 1874.03, "word": " بالتجزيق", "probability": 0.8336995442708334}], "temperature": 1.0}, {"id": 86, "seek": 190362, "start": 1875.2, "end": 1903.62, "text": "أيش ما يقولوا يقولوا لكن احنا بدنا نفهم ايش معناه و لماذا سمي integration by parts كل الجزء النظري تبع ال section بدي اختصره في كلمة صغيرة جدا يبقى بعدي بدي اقول if ال U and ال V are differentiable functions of X then", "tokens": [10721, 1829, 8592, 19446, 7251, 39648, 14407, 7251, 39648, 14407, 44381, 1975, 5016, 8315, 47525, 8315, 8717, 5172, 16095, 1975, 1829, 8592, 20449, 8315, 3224, 4032, 32767, 45636, 995, 8608, 2304, 1829, 10980, 538, 3166, 28242, 25724, 11622, 38207, 28239, 19913, 16572, 6055, 3555, 3615, 2423, 3541, 4724, 16254, 1975, 46456, 9381, 2288, 3224, 8978, 9122, 19528, 3660, 20328, 17082, 48923, 10874, 28259, 7251, 3555, 4587, 7578, 39182, 1829, 4724, 16254, 1975, 39648, 498, 2423, 624, 293, 2423, 691, 366, 819, 9364, 6828, 295, 1783, 550], "avg_logprob": -0.22772989053835815, "compression_ratio": 1.4954128440366972, "no_speech_prob": 0.0, "words": [{"start": 1875.2, "end": 1875.62, "word": "أيش", "probability": 0.4525960286458333}, {"start": 1875.62, "end": 1875.76, "word": " ما", "probability": 0.92431640625}, {"start": 1875.76, "end": 1876.22, "word": " يقولوا", "probability": 0.9332682291666666}, {"start": 1876.22, "end": 1876.68, "word": " يقولوا", "probability": 0.9763997395833334}, {"start": 1876.68, "end": 1877.06, "word": " لكن", "probability": 0.57177734375}, {"start": 1877.06, "end": 1877.56, "word": " احنا", "probability": 0.9000651041666666}, {"start": 1877.56, "end": 1877.98, "word": " بدنا", "probability": 0.93994140625}, {"start": 1877.98, "end": 1878.54, "word": " نفهم", "probability": 0.99365234375}, {"start": 1878.54, "end": 1879.56, "word": " ايش", "probability": 0.8518880208333334}, {"start": 1879.56, "end": 1880.74, "word": " معناه", "probability": 0.9542643229166666}, {"start": 1880.74, "end": 1881.22, "word": " و", "probability": 0.896484375}, {"start": 1881.22, "end": 1882.4, "word": " لماذا", "probability": 0.7906087239583334}, {"start": 1882.4, "end": 1883.22, "word": " سمي", "probability": 0.7332356770833334}, {"start": 1883.22, "end": 1884.24, "word": " integration", "probability": 0.8857421875}, {"start": 1884.24, "end": 1885.16, "word": " by", "probability": 0.77783203125}, {"start": 1885.16, "end": 1885.66, "word": " parts", "probability": 0.853515625}, {"start": 1885.66, "end": 1886.8, "word": " كل", "probability": 0.86474609375}, {"start": 1886.8, "end": 1887.26, "word": " الجزء", "probability": 0.8158365885416666}, {"start": 1887.26, "end": 1887.66, "word": " النظري", "probability": 0.7659505208333334}, {"start": 1887.66, "end": 1888.02, "word": " تبع", "probability": 0.705322265625}, {"start": 1888.02, "end": 1888.16, "word": " ال", "probability": 0.85791015625}, {"start": 1888.16, "end": 1888.48, "word": " section", "probability": 0.8486328125}, {"start": 1888.48, "end": 1888.86, "word": " بدي", "probability": 0.6507568359375}, {"start": 1888.86, "end": 1889.76, "word": " اختصره", "probability": 0.94970703125}, {"start": 1889.76, "end": 1890.06, "word": " في", "probability": 0.845703125}, {"start": 1890.06, "end": 1890.7, "word": " كلمة", "probability": 0.90087890625}, {"start": 1890.7, "end": 1891.28, "word": " صغيرة", "probability": 0.9952799479166666}, {"start": 1891.28, "end": 1891.88, "word": " جدا", "probability": 0.993408203125}, {"start": 1891.88, "end": 1892.72, "word": " يبقى", "probability": 0.8310546875}, {"start": 1892.72, "end": 1893.16, "word": " بعدي", "probability": 0.5921630859375}, {"start": 1893.16, "end": 1893.48, "word": " بدي", "probability": 0.796875}, {"start": 1893.48, "end": 1893.86, "word": " اقول", "probability": 0.88916015625}, {"start": 1893.86, "end": 1894.44, "word": " if", "probability": 0.6220703125}, {"start": 1894.44, "end": 1894.86, "word": " ال", "probability": 0.578125}, {"start": 1894.86, "end": 1895.22, "word": " U", "probability": 0.4931640625}, {"start": 1895.22, "end": 1896.3, "word": " and", "probability": 0.94775390625}, {"start": 1896.3, "end": 1896.62, "word": " ال", "probability": 0.8759765625}, {"start": 1896.62, "end": 1896.98, "word": " V", "probability": 0.9521484375}, {"start": 1896.98, "end": 1897.82, "word": " are", "probability": 0.90380859375}, {"start": 1897.82, "end": 1899.82, "word": " differentiable", "probability": 0.9345703125}, {"start": 1899.82, "end": 1901.22, "word": " functions", "probability": 0.8662109375}, {"start": 1901.22, "end": 1902.38, "word": " of", "probability": 0.97900390625}, {"start": 1902.38, "end": 1903.02, "word": " X", "probability": 0.76611328125}, {"start": 1903.02, "end": 1903.62, "word": " then", "probability": 0.64697265625}], "temperature": 1.0}, {"id": 87, "seek": 192318, "start": 1905.24, "end": 1923.18, "text": "التكامل ل UDV يبقى U في V نقص تكامل V دال U يبقى هذا التكامل تبع الأجزاء", "tokens": [6027, 2655, 4117, 10943, 1211, 5296, 624, 35, 53, 7251, 3555, 4587, 7578, 624, 8978, 691, 8717, 4587, 9381, 6055, 4117, 10943, 1211, 691, 11778, 6027, 624, 7251, 3555, 4587, 7578, 23758, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 16247, 7435, 11622, 16606], "avg_logprob": -0.27556816759434616, "compression_ratio": 1.3296703296703296, "no_speech_prob": 0.0, "words": [{"start": 1905.24, "end": 1906.54, "word": "التكامل", "probability": 0.909765625}, {"start": 1906.54, "end": 1907.32, "word": " ل", "probability": 0.7705078125}, {"start": 1907.32, "end": 1908.72, "word": " UDV", "probability": 0.5238444010416666}, {"start": 1908.72, "end": 1909.48, "word": " يبقى", "probability": 0.5437469482421875}, {"start": 1909.48, "end": 1910.28, "word": " U", "probability": 0.464111328125}, {"start": 1910.28, "end": 1910.62, "word": " في", "probability": 0.1871337890625}, {"start": 1910.62, "end": 1911.14, "word": " V", "probability": 0.89697265625}, {"start": 1911.14, "end": 1912.1, "word": " نقص", "probability": 0.8419596354166666}, {"start": 1912.1, "end": 1913.08, "word": " تكامل", "probability": 0.961669921875}, {"start": 1913.08, "end": 1913.68, "word": " V", "probability": 0.8759765625}, {"start": 1913.68, "end": 1914.76, "word": " دال", "probability": 0.49462890625}, {"start": 1914.76, "end": 1915.06, "word": " U", "probability": 0.8056640625}, {"start": 1915.06, "end": 1920.14, "word": " يبقى", "probability": 0.9093017578125}, {"start": 1920.14, "end": 1920.42, "word": " هذا", "probability": 0.947265625}, {"start": 1920.42, "end": 1921.26, "word": " التكامل", "probability": 0.9813232421875}, {"start": 1921.26, "end": 1922.02, "word": " تبع", "probability": 0.8819986979166666}, {"start": 1922.02, "end": 1923.18, "word": " الأجزاء", "probability": 0.968994140625}], "temperature": 1.0}, {"id": 88, "seek": 193693, "start": 1925.81, "end": 1936.93, "text": "بنعرف لماذا سميها تكامل بالتجزيء أو بالأجزاء وكيف طريقة التعامل مع هذا النوع من التكاملات", "tokens": [3555, 1863, 3615, 28480, 32767, 45636, 995, 8608, 2304, 1829, 11296, 6055, 4117, 10943, 1211, 20666, 2655, 7435, 11622, 1829, 38207, 34051, 20666, 10721, 7435, 11622, 16606, 4032, 4117, 33911, 23032, 16572, 28671, 16712, 3615, 10943, 1211, 20449, 23758, 28239, 45367, 9154, 16712, 4117, 10943, 1211, 9307], "avg_logprob": -0.1756184914459785, "compression_ratio": 1.4774774774774775, "no_speech_prob": 0.0, "words": [{"start": 1925.81, "end": 1926.47, "word": "بنعرف", "probability": 0.762939453125}, {"start": 1926.47, "end": 1926.97, "word": " لماذا", "probability": 0.9591471354166666}, {"start": 1926.97, "end": 1927.77, "word": " سميها", "probability": 0.59375}, {"start": 1927.77, "end": 1928.45, "word": " تكامل", "probability": 0.962890625}, {"start": 1928.45, "end": 1929.35, "word": " بالتجزيء", "probability": 0.8598225911458334}, {"start": 1929.35, "end": 1929.55, "word": " أو", "probability": 0.6748046875}, {"start": 1929.55, "end": 1930.33, "word": " بالأجزاء", "probability": 0.91572265625}, {"start": 1930.33, "end": 1931.27, "word": " وكيف", "probability": 0.8512369791666666}, {"start": 1931.27, "end": 1931.75, "word": " طريقة", "probability": 0.9812825520833334}, {"start": 1931.75, "end": 1932.71, "word": " التعامل", "probability": 0.995361328125}, {"start": 1932.71, "end": 1933.39, "word": " مع", "probability": 0.994140625}, {"start": 1933.39, "end": 1933.99, "word": " هذا", "probability": 0.6552734375}, {"start": 1933.99, "end": 1934.59, "word": " النوع", "probability": 0.98974609375}, {"start": 1934.59, "end": 1935.07, "word": " من", "probability": 0.986328125}, {"start": 1935.07, "end": 1936.93, "word": " التكاملات", "probability": 0.99306640625}], "temperature": 1.0}, {"id": 89, "seek": 195854, "start": 1945.06, "end": 1958.54, "text": "الان نجي للسؤال هذا، بيعطيني مثلة، المثلة بتبقى دالة في مين؟ في تكملة بالنسبة لشغل دي اكس، دي واي، دي ثيتا، دي زد، إلى آخرين", "tokens": [6027, 7649, 8717, 7435, 1829, 24976, 3794, 33604, 6027, 23758, 12399, 4724, 40228, 9566, 1829, 22653, 50113, 37977, 12399, 9673, 12984, 37977, 39894, 3555, 4587, 7578, 11778, 6027, 3660, 8978, 3714, 9957, 22807, 8978, 6055, 24793, 37977, 20666, 1863, 35457, 3660, 5296, 8592, 17082, 1211, 11778, 1829, 1975, 4117, 3794, 12399, 11778, 1829, 36764, 1829, 12399, 11778, 1829, 38637, 36081, 995, 12399, 11778, 1829, 30767, 3215, 12399, 30731, 19753, 34740, 9957], "avg_logprob": -0.2745225810342365, "compression_ratio": 1.6231884057971016, "no_speech_prob": 0.0, "words": [{"start": 1945.06, "end": 1945.42, "word": "الان", "probability": 0.61328125}, {"start": 1945.42, "end": 1945.78, "word": " نجي", "probability": 0.6172688802083334}, {"start": 1945.78, "end": 1946.3, "word": " للسؤال", "probability": 0.8587646484375}, {"start": 1946.3, "end": 1946.74, "word": " هذا،", "probability": 0.426025390625}, {"start": 1946.74, "end": 1947.32, "word": " بيعطيني", "probability": 0.7201171875}, {"start": 1947.32, "end": 1948.52, "word": " مثلة،", "probability": 0.826171875}, {"start": 1948.52, "end": 1949.18, "word": " المثلة", "probability": 0.8603515625}, {"start": 1949.18, "end": 1950.0, "word": " بتبقى", "probability": 0.94140625}, {"start": 1950.0, "end": 1950.86, "word": " دالة", "probability": 0.9466145833333334}, {"start": 1950.86, "end": 1951.28, "word": " في", "probability": 0.91259765625}, {"start": 1951.28, "end": 1952.08, "word": " مين؟", "probability": 0.5929361979166666}, {"start": 1952.08, "end": 1952.44, "word": " في", "probability": 0.9033203125}, {"start": 1952.44, "end": 1954.06, "word": " تكملة", "probability": 0.9010416666666666}, {"start": 1954.06, "end": 1954.62, "word": " بالنسبة", "probability": 0.98193359375}, {"start": 1954.62, "end": 1955.14, "word": " لشغل", "probability": 0.88623046875}, {"start": 1955.14, "end": 1955.5, "word": " دي", "probability": 0.5928955078125}, {"start": 1955.5, "end": 1955.98, "word": " اكس،", "probability": 0.6728515625}, {"start": 1955.98, "end": 1956.14, "word": " دي", "probability": 0.971435546875}, {"start": 1956.14, "end": 1956.54, "word": " واي،", "probability": 0.8284505208333334}, {"start": 1956.54, "end": 1956.72, "word": " دي", "probability": 0.988037109375}, {"start": 1956.72, "end": 1957.14, "word": " ثيتا،", "probability": 0.775146484375}, {"start": 1957.14, "end": 1957.3, "word": " دي", "probability": 0.989990234375}, {"start": 1957.3, "end": 1957.7, "word": " زد،", "probability": 0.7547200520833334}, {"start": 1957.7, "end": 1957.88, "word": " إلى", "probability": 0.37939453125}, {"start": 1957.88, "end": 1958.54, "word": " آخرين", "probability": 0.9222005208333334}], "temperature": 1.0}, {"id": 90, "seek": 198196, "start": 1959.44, "end": 1981.96, "text": "المثلة هذه بدي اقيصها على هذه المثلة يعني ايش اقيصها على هذه المثلة؟ يعني بدي اختار جزء يكون يمثل U و جزء يمثل من DV طيب ال U هذه اللي اخترتها هنا هي ماتغيرتش، لكن هنا ايش امتلت ال U؟ اشتقتها، DU", "tokens": [45340, 12984, 37977, 29538, 4724, 16254, 1975, 4587, 1829, 9381, 11296, 15844, 29538, 9673, 12984, 37977, 37495, 22653, 1975, 1829, 8592, 1975, 4587, 1829, 9381, 11296, 15844, 29538, 9673, 12984, 37977, 22807, 37495, 22653, 4724, 16254, 1975, 46456, 9640, 10874, 11622, 38207, 7251, 30544, 7251, 2304, 12984, 1211, 624, 4032, 10874, 11622, 38207, 7251, 2304, 12984, 1211, 9154, 17021, 23032, 1829, 3555, 2423, 624, 29538, 13672, 1829, 1975, 46456, 43500, 11296, 34105, 39896, 3714, 9307, 17082, 13546, 2655, 8592, 12399, 44381, 34105, 1975, 1829, 8592, 1975, 2304, 2655, 1211, 2655, 2423, 624, 22807, 1975, 8592, 2655, 38149, 11296, 12399, 28423], "avg_logprob": -0.2303527280835822, "compression_ratio": 2.0357142857142856, "no_speech_prob": 0.0, "words": [{"start": 1959.44, "end": 1960.16, "word": "المثلة", "probability": 0.5790201822916666}, {"start": 1960.16, "end": 1960.58, "word": " هذه", "probability": 0.6376953125}, {"start": 1960.58, "end": 1961.24, "word": " بدي", "probability": 0.50341796875}, {"start": 1961.24, "end": 1961.96, "word": " اقيصها", "probability": 0.7525390625}, {"start": 1961.96, "end": 1962.16, "word": " على", "probability": 0.822265625}, {"start": 1962.16, "end": 1962.56, "word": " هذه", "probability": 0.89990234375}, {"start": 1962.56, "end": 1963.32, "word": " المثلة", "probability": 0.9498697916666666}, {"start": 1963.32, "end": 1964.02, "word": " يعني", "probability": 0.84716796875}, {"start": 1964.02, "end": 1964.26, "word": " ايش", "probability": 0.8375651041666666}, {"start": 1964.26, "end": 1964.68, "word": " اقيصها", "probability": 0.9185546875}, {"start": 1964.68, "end": 1964.8, "word": " على", "probability": 0.77783203125}, {"start": 1964.8, "end": 1964.98, "word": " هذه", "probability": 0.92041015625}, {"start": 1964.98, "end": 1965.12, "word": " المثلة؟", "probability": 0.8585205078125}, {"start": 1965.12, "end": 1965.36, "word": " يعني", "probability": 0.751220703125}, {"start": 1965.36, "end": 1965.66, "word": " بدي", "probability": 0.828125}, {"start": 1965.66, "end": 1966.16, "word": " اختار", "probability": 0.9632161458333334}, {"start": 1966.16, "end": 1966.62, "word": " جزء", "probability": 0.9908854166666666}, {"start": 1966.62, "end": 1967.32, "word": " يكون", "probability": 0.931640625}, {"start": 1967.32, "end": 1968.58, "word": " يمثل", "probability": 0.984375}, {"start": 1968.58, "end": 1968.9, "word": " U", "probability": 0.69384765625}, {"start": 1968.9, "end": 1969.5, "word": " و", "probability": 0.81494140625}, {"start": 1969.5, "end": 1969.9, "word": " جزء", "probability": 0.9085286458333334}, {"start": 1969.9, "end": 1970.48, "word": " يمثل", "probability": 0.985107421875}, {"start": 1970.48, "end": 1970.86, "word": " من", "probability": 0.4013671875}, {"start": 1970.86, "end": 1971.88, "word": " DV", "probability": 0.408447265625}, {"start": 1971.88, "end": 1973.06, "word": " طيب", "probability": 0.89501953125}, {"start": 1973.06, "end": 1973.4, "word": " ال", "probability": 0.96875}, {"start": 1973.4, "end": 1973.64, "word": " U", "probability": 0.88720703125}, {"start": 1973.64, "end": 1973.96, "word": " هذه", "probability": 0.693359375}, {"start": 1973.96, "end": 1974.14, "word": " اللي", "probability": 0.958984375}, {"start": 1974.14, "end": 1974.74, "word": " اخترتها", "probability": 0.9139404296875}, {"start": 1974.74, "end": 1975.02, "word": " هنا", "probability": 0.95361328125}, {"start": 1975.02, "end": 1975.32, "word": " هي", "probability": 0.8173828125}, {"start": 1975.32, "end": 1977.18, "word": " ماتغيرتش،", "probability": 0.7849993024553571}, {"start": 1977.18, "end": 1977.86, "word": " لكن", "probability": 0.96875}, {"start": 1977.86, "end": 1978.26, "word": " هنا", "probability": 0.92431640625}, {"start": 1978.26, "end": 1978.48, "word": " ايش", "probability": 0.8663736979166666}, {"start": 1978.48, "end": 1979.04, "word": " امتلت", "probability": 0.64169921875}, {"start": 1979.04, "end": 1979.2, "word": " ال", "probability": 0.52197265625}, {"start": 1979.2, "end": 1980.1, "word": " U؟", "probability": 0.79931640625}, {"start": 1980.1, "end": 1981.6, "word": " اشتقتها،", "probability": 0.884765625}, {"start": 1981.6, "end": 1981.96, "word": " DU", "probability": 0.56884765625}], "temperature": 1.0}, {"id": 91, "seek": 200444, "start": 1982.64, "end": 2004.44, "text": "هذه كانت دي V مشان أحصل على V هذه معناته بدي أكامل هذه الدلة يبقى هي ال V و هي ال V معنى هذا الكلام أنه في جزء من المسألة بدي أفضله أشتقه وفي جزء بتروح من أكامله يعني بدنا نجزء المسألة إلى جزئين", "tokens": [3224, 24192, 25961, 2655, 11778, 1829, 691, 37893, 7649, 5551, 5016, 36520, 15844, 691, 29538, 20449, 8315, 47395, 4724, 16254, 5551, 4117, 10943, 1211, 29538, 32748, 37977, 7251, 3555, 4587, 7578, 39896, 2423, 691, 4032, 39896, 2423, 691, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 14739, 3224, 8978, 10874, 11622, 38207, 9154, 9673, 3794, 10721, 37977, 4724, 16254, 5551, 5172, 11242, 1211, 3224, 5551, 8592, 2655, 4587, 3224, 4032, 41185, 10874, 11622, 38207, 39894, 32887, 5016, 9154, 5551, 4117, 10943, 43761, 37495, 22653, 47525, 8315, 8717, 7435, 11622, 38207, 9673, 3794, 10721, 37977, 30731, 10874, 11622, 19986, 9957], "avg_logprob": -0.20486110930490975, "compression_ratio": 1.8944444444444444, "no_speech_prob": 0.0, "words": [{"start": 1982.64, "end": 1983.08, "word": "هذه", "probability": 0.65673828125}, {"start": 1983.08, "end": 1983.68, "word": " كانت", "probability": 0.834716796875}, {"start": 1983.68, "end": 1984.02, "word": " دي", "probability": 0.48199462890625}, {"start": 1984.02, "end": 1984.14, "word": " V", "probability": 0.7314453125}, {"start": 1984.14, "end": 1984.62, "word": " مشان", "probability": 0.6024169921875}, {"start": 1984.62, "end": 1985.12, "word": " أحصل", "probability": 0.8587239583333334}, {"start": 1985.12, "end": 1985.36, "word": " على", "probability": 0.90234375}, {"start": 1985.36, "end": 1985.6, "word": " V", "probability": 0.96923828125}, {"start": 1985.6, "end": 1985.9, "word": " هذه", "probability": 0.7861328125}, {"start": 1985.9, "end": 1986.42, "word": " معناته", "probability": 0.8590494791666666}, {"start": 1986.42, "end": 1986.72, "word": " بدي", "probability": 0.6962890625}, {"start": 1986.72, "end": 1987.72, "word": " أكامل", "probability": 0.929931640625}, {"start": 1987.72, "end": 1988.5, "word": " هذه", "probability": 0.85888671875}, {"start": 1988.5, "end": 1989.08, "word": " الدلة", "probability": 0.73291015625}, {"start": 1989.08, "end": 1990.02, "word": " يبقى", "probability": 0.8558349609375}, {"start": 1990.02, "end": 1990.22, "word": " هي", "probability": 0.485595703125}, {"start": 1990.22, "end": 1990.46, "word": " ال", "probability": 0.90234375}, {"start": 1990.46, "end": 1990.62, "word": " V", "probability": 0.943359375}, {"start": 1990.62, "end": 1990.76, "word": " و", "probability": 0.63671875}, {"start": 1990.76, "end": 1990.96, "word": " هي", "probability": 0.87109375}, {"start": 1990.96, "end": 1991.18, "word": " ال", "probability": 0.87841796875}, {"start": 1991.18, "end": 1991.38, "word": " V", "probability": 0.990234375}, {"start": 1991.38, "end": 1991.9, "word": " معنى", "probability": 0.77392578125}, {"start": 1991.9, "end": 1992.18, "word": " هذا", "probability": 0.96728515625}, {"start": 1992.18, "end": 1993.04, "word": " الكلام", "probability": 0.9720052083333334}, {"start": 1993.04, "end": 1993.9, "word": " أنه", "probability": 0.66552734375}, {"start": 1993.9, "end": 1994.08, "word": " في", "probability": 0.92578125}, {"start": 1994.08, "end": 1994.6, "word": " جزء", "probability": 0.99267578125}, {"start": 1994.6, "end": 1994.86, "word": " من", "probability": 0.990234375}, {"start": 1994.86, "end": 1995.68, "word": " المسألة", "probability": 0.9844970703125}, {"start": 1995.68, "end": 1996.22, "word": " بدي", "probability": 0.883056640625}, {"start": 1996.22, "end": 1997.1, "word": " أفضله", "probability": 0.736328125}, {"start": 1997.1, "end": 1998.08, "word": " أشتقه", "probability": 0.90771484375}, {"start": 1998.08, "end": 1998.72, "word": " وفي", "probability": 0.752685546875}, {"start": 1998.72, "end": 1999.16, "word": " جزء", "probability": 0.9947916666666666}, {"start": 1999.16, "end": 1999.64, "word": " بتروح", "probability": 0.7503255208333334}, {"start": 1999.64, "end": 1999.98, "word": " من", "probability": 0.884765625}, {"start": 1999.98, "end": 2001.0, "word": " أكامله", "probability": 0.81298828125}, {"start": 2001.0, "end": 2001.44, "word": " يعني", "probability": 0.88916015625}, {"start": 2001.44, "end": 2001.92, "word": " بدنا", "probability": 0.9521484375}, {"start": 2001.92, "end": 2002.56, "word": " نجزء", "probability": 0.857666015625}, {"start": 2002.56, "end": 2003.3, "word": " المسألة", "probability": 0.9859619140625}, {"start": 2003.3, "end": 2003.7, "word": " إلى", "probability": 0.8818359375}, {"start": 2003.7, "end": 2004.44, "word": " جزئين", "probability": 0.86907958984375}], "temperature": 1.0}, {"id": 92, "seek": 203460, "start": 2004.8, "end": 2034.6, "text": "جزء بدأ أكمله بعملية الاشتقاء وجزء بدروح مين أكامله ومن هنا سمنا تكامل بالتجزيه تكامل بالتجزيه قال لي U في V ناقص تكامل VW يعني لسه بالزمن تكامل قد يكون يحتاج هذا إلى تكامل بالأجزاء من جديد وقد يظهر أحد التكاملات الثلاثين التي أشرنا اليها قبل قليل", "tokens": [7435, 11622, 38207, 47525, 10721, 5551, 24793, 43761, 4724, 25957, 1211, 10632, 2423, 33599, 2655, 4587, 16606, 49610, 11622, 38207, 47525, 32887, 5016, 3714, 9957, 5551, 4117, 10943, 43761, 4032, 27842, 34105, 8608, 2304, 8315, 6055, 4117, 10943, 1211, 20666, 2655, 7435, 11622, 1829, 3224, 6055, 4117, 10943, 1211, 20666, 2655, 7435, 11622, 1829, 3224, 50239, 32239, 624, 8978, 691, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211, 691, 54, 37495, 22653, 5296, 3794, 3224, 20666, 11622, 27842, 6055, 4117, 10943, 1211, 12174, 3215, 7251, 30544, 7251, 33753, 26108, 23758, 30731, 6055, 4117, 10943, 1211, 20666, 10721, 7435, 11622, 16606, 9154, 10874, 16254, 3215, 4032, 28543, 7251, 19913, 3224, 2288, 5551, 24401, 16712, 4117, 10943, 1211, 9307, 6024, 104, 1211, 5718, 104, 9957, 38392, 5551, 8592, 2288, 8315, 45595, 11296, 12174, 36150, 12174, 20292, 1211], "avg_logprob": -0.19232536173042128, "compression_ratio": 2.0273972602739727, "no_speech_prob": 0.0386962890625, "words": [{"start": 2004.8, "end": 2005.38, "word": "جزء", "probability": 0.7218424479166666}, {"start": 2005.38, "end": 2005.8, "word": " بدأ", "probability": 0.46630859375}, {"start": 2005.8, "end": 2006.46, "word": " أكمله", "probability": 0.7900390625}, {"start": 2006.46, "end": 2007.18, "word": " بعملية", "probability": 0.9493408203125}, {"start": 2007.18, "end": 2008.0, "word": " الاشتقاء", "probability": 0.7369140625}, {"start": 2008.0, "end": 2008.8, "word": " وجزء", "probability": 0.8216145833333334}, {"start": 2008.8, "end": 2009.24, "word": " بدروح", "probability": 0.7298990885416666}, {"start": 2009.24, "end": 2009.66, "word": " مين", "probability": 0.61376953125}, {"start": 2009.66, "end": 2010.76, "word": " أكامله", "probability": 0.8582763671875}, {"start": 2010.76, "end": 2011.4, "word": " ومن", "probability": 0.790771484375}, {"start": 2011.4, "end": 2011.76, "word": " هنا", "probability": 0.9833984375}, {"start": 2011.76, "end": 2012.32, "word": " سمنا", "probability": 0.7565104166666666}, {"start": 2012.32, "end": 2013.26, "word": " تكامل", "probability": 0.9251708984375}, {"start": 2013.26, "end": 2014.56, "word": " بالتجزيه", "probability": 0.8914388020833334}, {"start": 2014.56, "end": 2016.54, "word": " تكامل", "probability": 0.7911376953125}, {"start": 2016.54, "end": 2017.12, "word": " بالتجزيه", "probability": 0.9947102864583334}, {"start": 2017.12, "end": 2017.46, "word": " قال", "probability": 0.1165771484375}, {"start": 2017.46, "end": 2017.74, "word": " لي", "probability": 0.38232421875}, {"start": 2017.74, "end": 2018.06, "word": " U", "probability": 0.56005859375}, {"start": 2018.06, "end": 2018.36, "word": " في", "probability": 0.7919921875}, {"start": 2018.36, "end": 2018.66, "word": " V", "probability": 0.94921875}, {"start": 2018.66, "end": 2019.22, "word": " ناقص", "probability": 0.9537353515625}, {"start": 2019.22, "end": 2019.84, "word": " تكامل", "probability": 0.981201171875}, {"start": 2019.84, "end": 2020.36, "word": " VW", "probability": 0.5506591796875}, {"start": 2020.36, "end": 2020.68, "word": " يعني", "probability": 0.862548828125}, {"start": 2020.68, "end": 2021.18, "word": " لسه", "probability": 0.9679361979166666}, {"start": 2021.18, "end": 2021.8, "word": " بالزمن", "probability": 0.7356770833333334}, {"start": 2021.8, "end": 2023.16, "word": " تكامل", "probability": 0.9796142578125}, {"start": 2023.16, "end": 2023.5, "word": " قد", "probability": 0.9228515625}, {"start": 2023.5, "end": 2024.18, "word": " يكون", "probability": 0.990966796875}, {"start": 2024.18, "end": 2024.88, "word": " يحتاج", "probability": 0.98779296875}, {"start": 2024.88, "end": 2025.4, "word": " هذا", "probability": 0.75732421875}, {"start": 2025.4, "end": 2025.76, "word": " إلى", "probability": 0.5888671875}, {"start": 2025.76, "end": 2026.4, "word": " تكامل", "probability": 0.926513671875}, {"start": 2026.4, "end": 2027.24, "word": " بالأجزاء", "probability": 0.976171875}, {"start": 2027.24, "end": 2027.6, "word": " من", "probability": 0.9765625}, {"start": 2027.6, "end": 2028.32, "word": " جديد", "probability": 0.9899088541666666}, {"start": 2028.32, "end": 2029.16, "word": " وقد", "probability": 0.959228515625}, {"start": 2029.16, "end": 2029.7, "word": " يظهر", "probability": 0.998779296875}, {"start": 2029.7, "end": 2030.1, "word": " أحد", "probability": 0.859130859375}, {"start": 2030.1, "end": 2031.02, "word": " التكاملات", "probability": 0.955859375}, {"start": 2031.02, "end": 2032.02, "word": " الثلاثين", "probability": 0.9044596354166666}, {"start": 2032.02, "end": 2032.48, "word": " التي", "probability": 0.72314453125}, {"start": 2032.48, "end": 2033.08, "word": " أشرنا", "probability": 0.7762451171875}, {"start": 2033.08, "end": 2033.54, "word": " اليها", "probability": 0.777587890625}, {"start": 2033.54, "end": 2034.0, "word": " قبل", "probability": 0.99609375}, {"start": 2034.0, "end": 2034.6, "word": " قليل", "probability": 0.9931640625}], "temperature": 1.0}, {"id": 93, "seek": 205133, "start": 2034.87, "end": 2051.33, "text": "ممكن هذه و ممكن هذه، طب السؤال هو لما يجيني السؤال مين اللي بدي اختارها تكون ال U و مين اللي بدي اختارها DV؟ اه بنقوله بسيطة تختاري ال U هي الدالة اللي تفضلها سهل", "tokens": [2304, 43020, 29538, 4032, 3714, 43020, 29538, 12399, 23032, 3555, 21136, 33604, 6027, 31439, 5296, 15042, 7251, 7435, 9957, 1829, 21136, 33604, 6027, 3714, 9957, 13672, 1829, 4724, 16254, 1975, 46456, 9640, 11296, 6055, 30544, 2423, 624, 4032, 3714, 9957, 13672, 1829, 4724, 16254, 1975, 46456, 9640, 11296, 17021, 22807, 1975, 3224, 44945, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 6055, 46456, 9640, 1829, 2423, 624, 39896, 32748, 6027, 3660, 13672, 1829, 6055, 5172, 11242, 1211, 11296, 8608, 3224, 1211], "avg_logprob": -0.20929783950617284, "compression_ratio": 1.945578231292517, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2034.87, "end": 2035.51, "word": "ممكن", "probability": 0.6805419921875}, {"start": 2035.51, "end": 2036.03, "word": " هذه", "probability": 0.65771484375}, {"start": 2036.03, "end": 2036.43, "word": " و", "probability": 0.91845703125}, {"start": 2036.43, "end": 2036.89, "word": " ممكن", "probability": 0.86767578125}, {"start": 2036.89, "end": 2037.45, "word": " هذه،", "probability": 0.58135986328125}, {"start": 2037.45, "end": 2037.69, "word": " طب", "probability": 0.790283203125}, {"start": 2037.69, "end": 2038.33, "word": " السؤال", "probability": 0.9921875}, {"start": 2038.33, "end": 2038.61, "word": " هو", "probability": 0.97509765625}, {"start": 2038.61, "end": 2039.51, "word": " لما", "probability": 0.677978515625}, {"start": 2039.51, "end": 2039.95, "word": " يجيني", "probability": 0.750732421875}, {"start": 2039.95, "end": 2040.51, "word": " السؤال", "probability": 0.99072265625}, {"start": 2040.51, "end": 2040.87, "word": " مين", "probability": 0.893310546875}, {"start": 2040.87, "end": 2041.03, "word": " اللي", "probability": 0.877685546875}, {"start": 2041.03, "end": 2041.33, "word": " بدي", "probability": 0.677001953125}, {"start": 2041.33, "end": 2042.01, "word": " اختارها", "probability": 0.8990478515625}, {"start": 2042.01, "end": 2042.49, "word": " تكون", "probability": 0.970703125}, {"start": 2042.49, "end": 2042.73, "word": " ال", "probability": 0.9794921875}, {"start": 2042.73, "end": 2043.05, "word": " U", "probability": 0.64111328125}, {"start": 2043.05, "end": 2043.59, "word": " و", "probability": 0.916015625}, {"start": 2043.59, "end": 2043.83, "word": " مين", "probability": 0.851318359375}, {"start": 2043.83, "end": 2043.95, "word": " اللي", "probability": 0.9912109375}, {"start": 2043.95, "end": 2044.17, "word": " بدي", "probability": 0.94677734375}, {"start": 2044.17, "end": 2044.85, "word": " اختارها", "probability": 0.96875}, {"start": 2044.85, "end": 2046.31, "word": " DV؟", "probability": 0.3885498046875}, {"start": 2046.31, "end": 2046.67, "word": " اه", "probability": 0.62158203125}, {"start": 2046.67, "end": 2047.15, "word": " بنقوله", "probability": 0.8069661458333334}, {"start": 2047.15, "end": 2047.73, "word": " بسيطة", "probability": 0.9744140625}, {"start": 2047.73, "end": 2048.51, "word": " تختاري", "probability": 0.83099365234375}, {"start": 2048.51, "end": 2048.69, "word": " ال", "probability": 0.9951171875}, {"start": 2048.69, "end": 2048.97, "word": " U", "probability": 0.96728515625}, {"start": 2048.97, "end": 2049.33, "word": " هي", "probability": 0.85791015625}, {"start": 2049.33, "end": 2049.89, "word": " الدالة", "probability": 0.6695149739583334}, {"start": 2049.89, "end": 2050.01, "word": " اللي", "probability": 0.8212890625}, {"start": 2050.01, "end": 2050.65, "word": " تفضلها", "probability": 0.9328125}, {"start": 2050.65, "end": 2051.33, "word": " سهل", "probability": 0.9734700520833334}], "temperature": 1.0}, {"id": 94, "seek": 207237, "start": 2052.25, "end": 2072.37, "text": "مايكونش تفاضلها مكلكة أو يطلع نص متر، لأ، بيكون شغلنا مش مظبوط، يبقى بختار ال U بطريقة أقدر أفاضلها و بختار ال DV بطريقة أقدر أكملها، اه يعني إذا اخترت ال U كل بضال في المثلة بدي أكون مين؟", "tokens": [15042, 1829, 30544, 8592, 6055, 5172, 46958, 1211, 11296, 3714, 28820, 4117, 3660, 34051, 7251, 9566, 1211, 3615, 8717, 9381, 44650, 2288, 12399, 5296, 10721, 12399, 4724, 1829, 30544, 13412, 17082, 1211, 8315, 37893, 3714, 19913, 3555, 2407, 9566, 12399, 7251, 3555, 4587, 7578, 4724, 46456, 9640, 2423, 624, 4724, 9566, 16572, 28671, 5551, 28543, 2288, 5551, 5172, 46958, 1211, 11296, 4032, 4724, 46456, 9640, 2423, 17021, 4724, 9566, 16572, 28671, 5551, 28543, 2288, 5551, 24793, 1211, 11296, 12399, 1975, 3224, 37495, 22653, 11933, 15730, 1975, 46456, 43500, 2423, 624, 28242, 4724, 11242, 6027, 8978, 9673, 12984, 37977, 4724, 16254, 5551, 30544, 3714, 9957, 22807], "avg_logprob": -0.2417452759900183, "compression_ratio": 1.786096256684492, "no_speech_prob": 0.0, "words": [{"start": 2052.25, "end": 2052.79, "word": "مايكونش", "probability": 0.55255126953125}, {"start": 2052.79, "end": 2053.51, "word": " تفاضلها", "probability": 0.90673828125}, {"start": 2053.51, "end": 2054.43, "word": " مكلكة", "probability": 0.66278076171875}, {"start": 2054.43, "end": 2054.57, "word": " أو", "probability": 0.5234375}, {"start": 2054.57, "end": 2054.95, "word": " يطلع", "probability": 0.9031982421875}, {"start": 2054.95, "end": 2055.21, "word": " نص", "probability": 0.921630859375}, {"start": 2055.21, "end": 2056.21, "word": " متر،", "probability": 0.8079427083333334}, {"start": 2056.21, "end": 2056.77, "word": " لأ،", "probability": 0.6140950520833334}, {"start": 2056.77, "end": 2057.65, "word": " بيكون", "probability": 0.7637532552083334}, {"start": 2057.65, "end": 2058.05, "word": " شغلنا", "probability": 0.945068359375}, {"start": 2058.05, "end": 2058.19, "word": " مش", "probability": 0.98876953125}, {"start": 2058.19, "end": 2059.29, "word": " مظبوط،", "probability": 0.893310546875}, {"start": 2059.29, "end": 2059.53, "word": " يبقى", "probability": 0.8341064453125}, {"start": 2059.53, "end": 2060.05, "word": " بختار", "probability": 0.9293619791666666}, {"start": 2060.05, "end": 2060.21, "word": " ال", "probability": 0.98583984375}, {"start": 2060.21, "end": 2060.43, "word": " U", "probability": 0.499267578125}, {"start": 2060.43, "end": 2061.19, "word": " بطريقة", "probability": 0.9873046875}, {"start": 2061.19, "end": 2061.73, "word": " أقدر", "probability": 0.9402669270833334}, {"start": 2061.73, "end": 2062.43, "word": " أفاضلها", "probability": 0.91630859375}, {"start": 2062.43, "end": 2062.49, "word": " و", "probability": 0.298583984375}, {"start": 2062.49, "end": 2062.97, "word": " بختار", "probability": 0.9840494791666666}, {"start": 2062.97, "end": 2063.13, "word": " ال", "probability": 0.97705078125}, {"start": 2063.13, "end": 2063.65, "word": " DV", "probability": 0.50927734375}, {"start": 2063.65, "end": 2064.95, "word": " بطريقة", "probability": 0.9859619140625}, {"start": 2064.95, "end": 2065.61, "word": " أقدر", "probability": 0.9853515625}, {"start": 2065.61, "end": 2066.55, "word": " أكملها،", "probability": 0.8263671875}, {"start": 2066.55, "end": 2066.93, "word": " اه", "probability": 0.52978515625}, {"start": 2066.93, "end": 2067.61, "word": " يعني", "probability": 0.719482421875}, {"start": 2067.61, "end": 2067.99, "word": " إذا", "probability": 0.923095703125}, {"start": 2067.99, "end": 2068.69, "word": " اخترت", "probability": 0.8634440104166666}, {"start": 2068.69, "end": 2069.03, "word": " ال", "probability": 0.99560546875}, {"start": 2069.03, "end": 2069.39, "word": " U", "probability": 0.97216796875}, {"start": 2069.39, "end": 2070.11, "word": " كل", "probability": 0.84326171875}, {"start": 2070.11, "end": 2070.65, "word": " بضال", "probability": 0.6436360677083334}, {"start": 2070.65, "end": 2070.83, "word": " في", "probability": 0.75048828125}, {"start": 2070.83, "end": 2071.29, "word": " المثلة", "probability": 0.77685546875}, {"start": 2071.29, "end": 2071.49, "word": " بدي", "probability": 0.680908203125}, {"start": 2071.49, "end": 2071.75, "word": " أكون", "probability": 0.59832763671875}, {"start": 2071.75, "end": 2072.37, "word": " مين؟", "probability": 0.8912760416666666}], "temperature": 1.0}, {"id": 95, "seek": 210201, "start": 2072.59, "end": 2102.01, "text": "دى V هذا بدك تقدر تكمله بسهولة وهذا بدك تقدر تفضله بسهولة طيب يمكن افضل هذا بسهولة ويمكن اكمل هذا بسهولة لكن ماتنحلش المثلة ماتنحلش ليه لأن الاختيار كان اختيارا خاطئ كيف يعني اختيار خاطئ هذا ال U دى لو جيت اشتقتها بديها تنتهي تكمل مش هتزيد فمثلا لو قولتلك خد U يسوى X السالب واحد", "tokens": [3215, 7578, 691, 23758, 47525, 4117, 6055, 28543, 2288, 6055, 24793, 43761, 4724, 3794, 3224, 12610, 3660, 37037, 15730, 47525, 4117, 6055, 28543, 2288, 6055, 5172, 11242, 43761, 4724, 3794, 3224, 12610, 3660, 23032, 1829, 3555, 7251, 43020, 1975, 5172, 11242, 1211, 23758, 4724, 3794, 3224, 12610, 3660, 4032, 32640, 19452, 1975, 24793, 1211, 23758, 4724, 3794, 3224, 12610, 3660, 44381, 3714, 9307, 1863, 5016, 1211, 8592, 9673, 12984, 37977, 3714, 9307, 1863, 5016, 1211, 8592, 32239, 3224, 5296, 33456, 2423, 47283, 31371, 9640, 25961, 1975, 9778, 31371, 9640, 995, 16490, 41193, 19986, 9122, 33911, 37495, 22653, 1975, 9778, 31371, 9640, 16490, 41193, 19986, 23758, 2423, 624, 11778, 7578, 45164, 10874, 36081, 1975, 8592, 2655, 38149, 11296, 4724, 16254, 11296, 6055, 29399, 3224, 1829, 6055, 24793, 1211, 37893, 8032, 2655, 11622, 25708, 6156, 2304, 12984, 15040, 45164, 12174, 12610, 2655, 23275, 16490, 3215, 624, 7251, 3794, 2407, 7578, 1783, 21136, 6027, 3555, 36764, 24401], "avg_logprob": -0.1858870929287326, "compression_ratio": 2.1695652173913045, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2072.59, "end": 2073.09, "word": "دى", "probability": 0.3013916015625}, {"start": 2073.09, "end": 2073.23, "word": " V", "probability": 0.46533203125}, {"start": 2073.23, "end": 2073.73, "word": " هذا", "probability": 0.626953125}, {"start": 2073.73, "end": 2074.13, "word": " بدك", "probability": 0.431640625}, {"start": 2074.13, "end": 2074.45, "word": " تقدر", "probability": 0.9378255208333334}, {"start": 2074.45, "end": 2074.89, "word": " تكمله", "probability": 0.8553059895833334}, {"start": 2074.89, "end": 2075.45, "word": " بسهولة", "probability": 0.9642578125}, {"start": 2075.45, "end": 2075.77, "word": " وهذا", "probability": 0.8193359375}, {"start": 2075.77, "end": 2076.11, "word": " بدك", "probability": 0.878662109375}, {"start": 2076.11, "end": 2076.47, "word": " تقدر", "probability": 0.9933268229166666}, {"start": 2076.47, "end": 2077.01, "word": " تفضله", "probability": 0.81964111328125}, {"start": 2077.01, "end": 2077.75, "word": " بسهولة", "probability": 0.99453125}, {"start": 2077.75, "end": 2078.53, "word": " طيب", "probability": 0.90283203125}, {"start": 2078.53, "end": 2078.97, "word": " يمكن", "probability": 0.97216796875}, {"start": 2078.97, "end": 2079.55, "word": " افضل", "probability": 0.8790283203125}, {"start": 2079.55, "end": 2079.77, "word": " هذا", "probability": 0.90380859375}, {"start": 2079.77, "end": 2080.35, "word": " بسهولة", "probability": 0.994921875}, {"start": 2080.35, "end": 2080.77, "word": " ويمكن", "probability": 0.9329427083333334}, {"start": 2080.77, "end": 2081.29, "word": " اكمل", "probability": 0.9132486979166666}, {"start": 2081.29, "end": 2081.59, "word": " هذا", "probability": 0.97509765625}, {"start": 2081.59, "end": 2082.11, "word": " بسهولة", "probability": 0.99765625}, {"start": 2082.11, "end": 2082.37, "word": " لكن", "probability": 0.8505859375}, {"start": 2082.37, "end": 2083.35, "word": " ماتنحلش", "probability": 0.86376953125}, {"start": 2083.35, "end": 2083.99, "word": " المثلة", "probability": 0.7657877604166666}, {"start": 2083.99, "end": 2085.39, "word": " ماتنحلش", "probability": 0.9252115885416666}, {"start": 2085.39, "end": 2085.91, "word": " ليه", "probability": 0.9267578125}, {"start": 2085.91, "end": 2086.55, "word": " لأن", "probability": 0.567626953125}, {"start": 2086.55, "end": 2087.45, "word": " الاختيار", "probability": 0.86273193359375}, {"start": 2087.45, "end": 2087.83, "word": " كان", "probability": 0.9931640625}, {"start": 2087.83, "end": 2088.59, "word": " اختيارا", "probability": 0.8921875}, {"start": 2088.59, "end": 2089.07, "word": " خاطئ", "probability": 0.96728515625}, {"start": 2089.07, "end": 2089.77, "word": " كيف", "probability": 0.780517578125}, {"start": 2089.77, "end": 2089.97, "word": " يعني", "probability": 0.868408203125}, {"start": 2089.97, "end": 2090.39, "word": " اختيار", "probability": 0.885009765625}, {"start": 2090.39, "end": 2091.29, "word": " خاطئ", "probability": 0.9934895833333334}, {"start": 2091.29, "end": 2091.89, "word": " هذا", "probability": 0.310546875}, {"start": 2091.89, "end": 2092.09, "word": " ال", "probability": 0.92626953125}, {"start": 2092.09, "end": 2092.25, "word": " U", "probability": 0.904296875}, {"start": 2092.25, "end": 2092.59, "word": " دى", "probability": 0.5941162109375}, {"start": 2092.59, "end": 2092.81, "word": " لو", "probability": 0.935546875}, {"start": 2092.81, "end": 2093.09, "word": " جيت", "probability": 0.752685546875}, {"start": 2093.09, "end": 2093.93, "word": " اشتقتها", "probability": 0.8173828125}, {"start": 2093.93, "end": 2094.63, "word": " بديها", "probability": 0.755859375}, {"start": 2094.63, "end": 2095.55, "word": " تنتهي", "probability": 0.942138671875}, {"start": 2095.55, "end": 2096.55, "word": " تكمل", "probability": 0.9456380208333334}, {"start": 2096.55, "end": 2096.77, "word": " مش", "probability": 0.95068359375}, {"start": 2096.77, "end": 2097.37, "word": " هتزيد", "probability": 0.9178466796875}, {"start": 2097.37, "end": 2098.01, "word": " فمثلا", "probability": 0.868896484375}, {"start": 2098.01, "end": 2098.81, "word": " لو", "probability": 0.92724609375}, {"start": 2098.81, "end": 2099.17, "word": " قولتلك", "probability": 0.756591796875}, {"start": 2099.17, "end": 2099.59, "word": " خد", "probability": 0.89306640625}, {"start": 2099.59, "end": 2099.83, "word": " U", "probability": 0.9580078125}, {"start": 2099.83, "end": 2100.63, "word": " يسوى", "probability": 0.74261474609375}, {"start": 2100.63, "end": 2100.99, "word": " X", "probability": 0.916015625}, {"start": 2100.99, "end": 2101.69, "word": " السالب", "probability": 0.6685791015625}, {"start": 2101.69, "end": 2102.01, "word": " واحد", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 96, "seek": 210617, "start": 2102.81, "end": 2106.17, "text": "تعا فضل الله، إيش بيطلع؟ X السالم اتنين", "tokens": [2655, 3615, 995, 6156, 11242, 1211, 21984, 12399, 11933, 1829, 8592, 4724, 1829, 9566, 1211, 3615, 22807, 1783, 21136, 45340, 1975, 2655, 1863, 9957], "avg_logprob": -0.3803124904632568, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 2102.81, "end": 2103.19, "word": "تعا", "probability": 0.595947265625}, {"start": 2103.19, "end": 2103.57, "word": " فضل", "probability": 0.78662109375}, {"start": 2103.57, "end": 2103.83, "word": " الله،", "probability": 0.60009765625}, {"start": 2103.83, "end": 2104.01, "word": " إيش", "probability": 0.808349609375}, {"start": 2104.01, "end": 2105.01, "word": " بيطلع؟", "probability": 0.8423258463541666}, {"start": 2105.01, "end": 2105.27, "word": " X", "probability": 0.475341796875}, {"start": 2105.27, "end": 2105.69, "word": " السالم", "probability": 0.3538818359375}, {"start": 2105.69, "end": 2106.17, "word": " اتنين", "probability": 0.79559326171875}], "temperature": 1.0}, {"id": 97, "seek": 213323, "start": 2108.09, "end": 2133.23, "text": "يبقى ذالبة لأ كمان مرة X والسالب ثلاثة بغض النظر عن الكون الصحيح X والسالب أربعة يبقى ليوم القيامة مفيش بتخلصش إذا الإختيار كان إختيارا قاطع يبقى بدي أختارها بحيث تنتهي بعد مرة مرتين تلت أربع مرات تبقى خلصت طبعا طب افترض اخترت وطلعت معاك تكلكعت تدت تكلكعت وها دي مش عارفين نطلع منها", "tokens": [1829, 3555, 4587, 7578, 29910, 6027, 3555, 3660, 5296, 10721, 9122, 2304, 7649, 3714, 25720, 1783, 16070, 3794, 6027, 3555, 38637, 1211, 5718, 104, 3660, 4724, 17082, 11242, 28239, 19913, 2288, 18871, 2423, 30544, 31767, 5016, 1829, 5016, 1783, 16070, 3794, 6027, 3555, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 5296, 1829, 20498, 25062, 1829, 10943, 3660, 3714, 41185, 8592, 39894, 9778, 1211, 9381, 8592, 11933, 15730, 33688, 9778, 31371, 9640, 25961, 11933, 9778, 31371, 9640, 995, 12174, 41193, 3615, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 46456, 9640, 11296, 4724, 5016, 1829, 12984, 6055, 29399, 3224, 1829, 39182, 3714, 25720, 3714, 43500, 9957, 6055, 1211, 2655, 5551, 25513, 3615, 3714, 2288, 9307, 6055, 3555, 4587, 7578, 16490, 1211, 9381, 2655, 23032, 3555, 3615, 995, 23032, 3555, 1975, 5172, 2655, 43042, 1975, 46456, 43500, 4032, 9566, 1211, 34268, 20449, 995, 4117, 6055, 28820, 4117, 34268, 6055, 3215, 2655, 6055, 28820, 4117, 34268, 4032, 11296, 11778, 1829, 37893, 6225, 9640, 5172, 9957, 8717, 9566, 1211, 3615, 9154, 11296], "avg_logprob": -0.24237351607353913, "compression_ratio": 2.0278884462151394, "no_speech_prob": 0.0, "words": [{"start": 2108.09, "end": 2108.45, "word": "يبقى", "probability": 0.7261962890625}, {"start": 2108.45, "end": 2108.95, "word": " ذالبة", "probability": 0.3508148193359375}, {"start": 2108.95, "end": 2109.17, "word": " لأ", "probability": 0.6385498046875}, {"start": 2109.17, "end": 2109.55, "word": " كمان", "probability": 0.4901529947916667}, {"start": 2109.55, "end": 2109.87, "word": " مرة", "probability": 0.966796875}, {"start": 2109.87, "end": 2110.13, "word": " X", "probability": 0.31201171875}, {"start": 2110.13, "end": 2110.57, "word": " والسالب", "probability": 0.6468505859375}, {"start": 2110.57, "end": 2110.91, "word": " ثلاثة", "probability": 0.84169921875}, {"start": 2110.91, "end": 2111.13, "word": " بغض", "probability": 0.7652994791666666}, {"start": 2111.13, "end": 2111.41, "word": " النظر", "probability": 0.9861653645833334}, {"start": 2111.41, "end": 2111.53, "word": " عن", "probability": 0.93798828125}, {"start": 2111.53, "end": 2111.79, "word": " الكون", "probability": 0.65234375}, {"start": 2111.79, "end": 2112.13, "word": " الصحيح", "probability": 0.6561279296875}, {"start": 2112.13, "end": 2112.49, "word": " X", "probability": 0.7109375}, {"start": 2112.49, "end": 2113.01, "word": " والسالب", "probability": 0.9288330078125}, {"start": 2113.01, "end": 2113.43, "word": " أربعة", "probability": 0.9210611979166666}, {"start": 2113.43, "end": 2114.15, "word": " يبقى", "probability": 0.970703125}, {"start": 2114.15, "end": 2114.47, "word": " ليوم", "probability": 0.745849609375}, {"start": 2114.47, "end": 2114.87, "word": " القيامة", "probability": 0.83154296875}, {"start": 2114.87, "end": 2115.07, "word": " مفيش", "probability": 0.7789713541666666}, {"start": 2115.07, "end": 2115.87, "word": " بتخلصش", "probability": 0.93564453125}, {"start": 2115.87, "end": 2116.63, "word": " إذا", "probability": 0.810791015625}, {"start": 2116.63, "end": 2117.27, "word": " الإختيار", "probability": 0.82891845703125}, {"start": 2117.27, "end": 2117.61, "word": " كان", "probability": 0.5166015625}, {"start": 2117.61, "end": 2118.29, "word": " إختيارا", "probability": 0.8599609375}, {"start": 2118.29, "end": 2118.73, "word": " قاطع", "probability": 0.9168294270833334}, {"start": 2118.73, "end": 2119.51, "word": " يبقى", "probability": 0.8924560546875}, {"start": 2119.51, "end": 2119.81, "word": " بدي", "probability": 0.700439453125}, {"start": 2119.81, "end": 2120.43, "word": " أختارها", "probability": 0.943359375}, {"start": 2120.43, "end": 2120.99, "word": " بحيث", "probability": 0.8931884765625}, {"start": 2120.99, "end": 2121.85, "word": " تنتهي", "probability": 0.956787109375}, {"start": 2121.85, "end": 2122.13, "word": " بعد", "probability": 0.94921875}, {"start": 2122.13, "end": 2122.67, "word": " مرة", "probability": 0.98779296875}, {"start": 2122.67, "end": 2123.77, "word": " مرتين", "probability": 0.90673828125}, {"start": 2123.77, "end": 2124.29, "word": " تلت", "probability": 0.9638671875}, {"start": 2124.29, "end": 2124.69, "word": " أربع", "probability": 0.8650716145833334}, {"start": 2124.69, "end": 2125.27, "word": " مرات", "probability": 0.9811197916666666}, {"start": 2125.27, "end": 2125.63, "word": " تبقى", "probability": 0.95166015625}, {"start": 2125.63, "end": 2126.53, "word": " خلصت", "probability": 0.982666015625}, {"start": 2126.53, "end": 2127.37, "word": " طبعا", "probability": 0.902587890625}, {"start": 2127.37, "end": 2128.09, "word": " طب", "probability": 0.870849609375}, {"start": 2128.09, "end": 2128.51, "word": " افترض", "probability": 0.9522705078125}, {"start": 2128.51, "end": 2129.01, "word": " اخترت", "probability": 0.80419921875}, {"start": 2129.01, "end": 2129.61, "word": " وطلعت", "probability": 0.72998046875}, {"start": 2129.61, "end": 2130.01, "word": " معاك", "probability": 0.6622721354166666}, {"start": 2130.01, "end": 2130.59, "word": " تكلكعت", "probability": 0.61553955078125}, {"start": 2130.59, "end": 2131.05, "word": " تدت", "probability": 0.7864583333333334}, {"start": 2131.05, "end": 2131.57, "word": " تكلكعت", "probability": 0.9053955078125}, {"start": 2131.57, "end": 2131.89, "word": " وها", "probability": 0.502197265625}, {"start": 2131.89, "end": 2131.99, "word": " دي", "probability": 0.6943359375}, {"start": 2131.99, "end": 2132.15, "word": " مش", "probability": 0.990234375}, {"start": 2132.15, "end": 2132.49, "word": " عارفين", "probability": 0.8756103515625}, {"start": 2132.49, "end": 2132.89, "word": " نطلع", "probability": 0.896728515625}, {"start": 2132.89, "end": 2133.23, "word": " منها", "probability": 0.8857421875}], "temperature": 1.0}, {"id": 98, "seek": 214117, "start": 2133.81, "end": 2141.17, "text": "بكي بخترشت خاطئ بتروح تجلب الخيارة بتبعك و بتلاقي مثلة اكمالها انحلت على طول الخط", "tokens": [3555, 4117, 1829, 4724, 46456, 2288, 8592, 2655, 16490, 41193, 19986, 39894, 32887, 5016, 6055, 7435, 46152, 33962, 1829, 9640, 3660, 39894, 3555, 3615, 4117, 4032, 39894, 15040, 38436, 50113, 37977, 1975, 24793, 6027, 11296, 16472, 5016, 1211, 2655, 15844, 23032, 12610, 33962, 9566], "avg_logprob": -0.2885416719648573, "compression_ratio": 1.4095238095238096, "no_speech_prob": 0.0, "words": [{"start": 2133.81, "end": 2134.13, "word": "بكي", "probability": 0.4335123697916667}, {"start": 2134.13, "end": 2134.81, "word": " بخترشت", "probability": 0.62353515625}, {"start": 2134.81, "end": 2135.21, "word": " خاطئ", "probability": 0.83349609375}, {"start": 2135.21, "end": 2135.61, "word": " بتروح", "probability": 0.8680013020833334}, {"start": 2135.61, "end": 2136.07, "word": " تجلب", "probability": 0.9527994791666666}, {"start": 2136.07, "end": 2136.81, "word": " الخيارة", "probability": 0.85009765625}, {"start": 2136.81, "end": 2137.33, "word": " بتبعك", "probability": 0.82861328125}, {"start": 2137.33, "end": 2137.39, "word": " و", "probability": 0.6337890625}, {"start": 2137.39, "end": 2137.75, "word": " بتلاقي", "probability": 0.8972981770833334}, {"start": 2137.75, "end": 2138.21, "word": " مثلة", "probability": 0.91455078125}, {"start": 2138.21, "end": 2138.89, "word": " اكمالها", "probability": 0.82489013671875}, {"start": 2138.89, "end": 2140.07, "word": " انحلت", "probability": 0.9716796875}, {"start": 2140.07, "end": 2140.33, "word": " على", "probability": 0.9287109375}, {"start": 2140.33, "end": 2140.89, "word": " طول", "probability": 0.994873046875}, {"start": 2140.89, "end": 2141.17, "word": " الخط", "probability": 0.48272705078125}], "temperature": 1.0}, {"id": 99, "seek": 216823, "start": 2141.89, "end": 2168.23, "text": "يبقى الاختيار مش مزاجي، وإنما الاختيار عبارة عن دراية علمية، دراية علمية عن بنانيش، عن مشتقات الدول وتقامل الدول، وبالتالي بصير القصة هذه بسيطة جدا، إذا أنا لما بدي أعطيك مثال، بدي أعطيك ثلاثة أنواع من المثال، إنه لو اللي بدي أخليه بسيط، بدوش ولا لف ولا دوران", "tokens": [1829, 3555, 4587, 7578, 2423, 47283, 31371, 9640, 37893, 3714, 11622, 26108, 1829, 12399, 4032, 28814, 1863, 15042, 2423, 47283, 31371, 9640, 6225, 3555, 9640, 3660, 18871, 11778, 23557, 10632, 11203, 2304, 10632, 12399, 11778, 23557, 10632, 11203, 2304, 10632, 18871, 44945, 7649, 1829, 8592, 12399, 18871, 37893, 2655, 4587, 9307, 32748, 12610, 34683, 4587, 10943, 1211, 32748, 12610, 12399, 46599, 6027, 2655, 6027, 1829, 4724, 9381, 13546, 25062, 9381, 3660, 29538, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 12399, 11933, 15730, 41850, 5296, 15042, 4724, 16254, 5551, 3615, 9566, 1829, 4117, 50113, 6027, 12399, 4724, 16254, 5551, 3615, 9566, 1829, 4117, 38637, 1211, 5718, 104, 3660, 14739, 14407, 3615, 9154, 9673, 12984, 6027, 12399, 36145, 3224, 45164, 13672, 1829, 4724, 16254, 5551, 9778, 20292, 3224, 4724, 3794, 1829, 9566, 12399, 47525, 2407, 8592, 49429, 5296, 5172, 49429, 11778, 13063, 7649], "avg_logprob": -0.14788732111034258, "compression_ratio": 2.1121076233183858, "no_speech_prob": 0.0, "words": [{"start": 2141.89, "end": 2142.21, "word": "يبقى", "probability": 0.8992919921875}, {"start": 2142.21, "end": 2142.73, "word": " الاختيار", "probability": 0.893310546875}, {"start": 2142.73, "end": 2143.01, "word": " مش", "probability": 0.96142578125}, {"start": 2143.01, "end": 2144.63, "word": " مزاجي،", "probability": 0.74208984375}, {"start": 2144.63, "end": 2145.21, "word": " وإنما", "probability": 0.8663330078125}, {"start": 2145.21, "end": 2146.35, "word": " الاختيار", "probability": 0.9368896484375}, {"start": 2146.35, "end": 2147.05, "word": " عبارة", "probability": 0.985107421875}, {"start": 2147.05, "end": 2147.39, "word": " عن", "probability": 0.99658203125}, {"start": 2147.39, "end": 2147.97, "word": " دراية", "probability": 0.89892578125}, {"start": 2147.97, "end": 2149.13, "word": " علمية،", "probability": 0.923095703125}, {"start": 2149.13, "end": 2149.81, "word": " دراية", "probability": 0.9724934895833334}, {"start": 2149.81, "end": 2150.31, "word": " علمية", "probability": 0.9793294270833334}, {"start": 2150.31, "end": 2150.53, "word": " عن", "probability": 0.98095703125}, {"start": 2150.53, "end": 2151.45, "word": " بنانيش،", "probability": 0.5762451171875}, {"start": 2151.45, "end": 2151.77, "word": " عن", "probability": 0.9951171875}, {"start": 2151.77, "end": 2152.73, "word": " مشتقات", "probability": 0.9329833984375}, {"start": 2152.73, "end": 2153.19, "word": " الدول", "probability": 0.812255859375}, {"start": 2153.19, "end": 2154.15, "word": " وتقامل", "probability": 0.61737060546875}, {"start": 2154.15, "end": 2155.19, "word": " الدول،", "probability": 0.8421223958333334}, {"start": 2155.19, "end": 2155.89, "word": " وبالتالي", "probability": 0.9615234375}, {"start": 2155.89, "end": 2156.35, "word": " بصير", "probability": 0.8873697916666666}, {"start": 2156.35, "end": 2156.85, "word": " القصة", "probability": 0.9689127604166666}, {"start": 2156.85, "end": 2157.25, "word": " هذه", "probability": 0.63671875}, {"start": 2157.25, "end": 2158.11, "word": " بسيطة", "probability": 0.98759765625}, {"start": 2158.11, "end": 2158.59, "word": " جدا،", "probability": 0.8611653645833334}, {"start": 2158.59, "end": 2158.89, "word": " إذا", "probability": 0.73828125}, {"start": 2158.89, "end": 2159.95, "word": " أنا", "probability": 0.66552734375}, {"start": 2159.95, "end": 2160.17, "word": " لما", "probability": 0.968994140625}, {"start": 2160.17, "end": 2160.47, "word": " بدي", "probability": 0.751708984375}, {"start": 2160.47, "end": 2160.85, "word": " أعطيك", "probability": 0.9701171875}, {"start": 2160.85, "end": 2161.45, "word": " مثال،", "probability": 0.86083984375}, {"start": 2161.45, "end": 2161.67, "word": " بدي", "probability": 0.978271484375}, {"start": 2161.67, "end": 2162.11, "word": " أعطيك", "probability": 0.99365234375}, {"start": 2162.11, "end": 2162.75, "word": " ثلاثة", "probability": 0.96025390625}, {"start": 2162.75, "end": 2163.11, "word": " أنواع", "probability": 0.96044921875}, {"start": 2163.11, "end": 2163.31, "word": " من", "probability": 0.9560546875}, {"start": 2163.31, "end": 2164.05, "word": " المثال،", "probability": 0.952880859375}, {"start": 2164.05, "end": 2164.35, "word": " إنه", "probability": 0.561279296875}, {"start": 2164.35, "end": 2164.59, "word": " لو", "probability": 0.697265625}, {"start": 2164.59, "end": 2164.73, "word": " اللي", "probability": 0.898193359375}, {"start": 2164.73, "end": 2164.91, "word": " بدي", "probability": 0.908203125}, {"start": 2164.91, "end": 2165.57, "word": " أخليه", "probability": 0.949951171875}, {"start": 2165.57, "end": 2166.59, "word": " بسيط،", "probability": 0.982421875}, {"start": 2166.59, "end": 2167.03, "word": " بدوش", "probability": 0.7538248697916666}, {"start": 2167.03, "end": 2167.23, "word": " ولا", "probability": 0.8681640625}, {"start": 2167.23, "end": 2167.49, "word": " لف", "probability": 0.974853515625}, {"start": 2167.49, "end": 2167.65, "word": " ولا", "probability": 0.95458984375}, {"start": 2167.65, "end": 2168.23, "word": " دوران", "probability": 0.9850260416666666}], "temperature": 1.0}, {"id": 100, "seek": 219478, "start": 2168.76, "end": 2194.78, "text": "النوع الثاني بدي أخليك تهرش مخك و تضطر تعمل تعويضة قبل ال integration by parts وبعد ما تعمل تعويضة صير مسالتك سهلة بال integration by parts وهكذا بالنسبة لمن؟ للباقي إذا نبدأ الشغل العملي على هذا القانون اكتبلي اول مثال احسبلي تكاملات اتالية", "tokens": [6027, 1863, 45367, 6024, 104, 7649, 1829, 4724, 16254, 5551, 9778, 20292, 4117, 6055, 3224, 2288, 8592, 3714, 9778, 4117, 4032, 6055, 11242, 9566, 2288, 6055, 25957, 1211, 37279, 45865, 11242, 3660, 12174, 36150, 2423, 10980, 538, 3166, 46599, 22488, 19446, 6055, 25957, 1211, 37279, 45865, 11242, 3660, 20328, 13546, 47524, 6027, 2655, 4117, 8608, 3224, 37977, 20666, 10980, 538, 3166, 37037, 4117, 15730, 20666, 1863, 35457, 3660, 5296, 27842, 22807, 24976, 3555, 995, 38436, 11933, 15730, 8717, 44510, 10721, 25124, 17082, 1211, 18863, 2304, 20292, 15844, 23758, 25062, 7649, 11536, 1975, 4117, 2655, 3555, 20292, 1975, 12610, 50113, 6027, 1975, 5016, 35457, 20292, 6055, 4117, 10943, 1211, 9307, 1975, 2655, 6027, 10632], "avg_logprob": -0.19298246280665984, "compression_ratio": 1.7641921397379912, "no_speech_prob": 0.0, "words": [{"start": 2168.76, "end": 2169.28, "word": "النوع", "probability": 0.8597005208333334}, {"start": 2169.28, "end": 2169.78, "word": " الثاني", "probability": 0.92041015625}, {"start": 2169.78, "end": 2170.18, "word": " بدي", "probability": 0.558837890625}, {"start": 2170.18, "end": 2170.98, "word": " أخليك", "probability": 0.7611083984375}, {"start": 2170.98, "end": 2171.44, "word": " تهرش", "probability": 0.9619140625}, {"start": 2171.44, "end": 2172.0, "word": " مخك", "probability": 0.96044921875}, {"start": 2172.0, "end": 2172.12, "word": " و", "probability": 0.556640625}, {"start": 2172.12, "end": 2173.06, "word": " تضطر", "probability": 0.8446044921875}, {"start": 2173.06, "end": 2174.02, "word": " تعمل", "probability": 0.9788411458333334}, {"start": 2174.02, "end": 2174.62, "word": " تعويضة", "probability": 0.8974609375}, {"start": 2174.62, "end": 2174.9, "word": " قبل", "probability": 0.921875}, {"start": 2174.9, "end": 2175.04, "word": " ال", "probability": 0.95703125}, {"start": 2175.04, "end": 2175.54, "word": " integration", "probability": 0.9423828125}, {"start": 2175.54, "end": 2175.94, "word": " by", "probability": 0.457275390625}, {"start": 2175.94, "end": 2176.34, "word": " parts", "probability": 0.84033203125}, {"start": 2176.34, "end": 2177.76, "word": " وبعد", "probability": 0.7841796875}, {"start": 2177.76, "end": 2177.88, "word": " ما", "probability": 0.448486328125}, {"start": 2177.88, "end": 2178.22, "word": " تعمل", "probability": 0.9099934895833334}, {"start": 2178.22, "end": 2178.66, "word": " تعويضة", "probability": 0.836669921875}, {"start": 2178.66, "end": 2178.92, "word": " صير", "probability": 0.6226806640625}, {"start": 2178.92, "end": 2179.62, "word": " مسالتك", "probability": 0.8695068359375}, {"start": 2179.62, "end": 2179.98, "word": " سهلة", "probability": 0.8460286458333334}, {"start": 2179.98, "end": 2180.14, "word": " بال", "probability": 0.9658203125}, {"start": 2180.14, "end": 2180.76, "word": " integration", "probability": 0.91748046875}, {"start": 2180.76, "end": 2181.6, "word": " by", "probability": 0.89599609375}, {"start": 2181.6, "end": 2181.96, "word": " parts", "probability": 0.9208984375}, {"start": 2181.96, "end": 2182.68, "word": " وهكذا", "probability": 0.8606770833333334}, {"start": 2182.68, "end": 2183.16, "word": " بالنسبة", "probability": 0.86712646484375}, {"start": 2183.16, "end": 2183.92, "word": " لمن؟", "probability": 0.72412109375}, {"start": 2183.92, "end": 2184.86, "word": " للباقي", "probability": 0.914306640625}, {"start": 2184.86, "end": 2185.26, "word": " إذا", "probability": 0.48828125}, {"start": 2185.26, "end": 2186.28, "word": " نبدأ", "probability": 0.919921875}, {"start": 2186.28, "end": 2186.78, "word": " الشغل", "probability": 0.9830729166666666}, {"start": 2186.78, "end": 2187.26, "word": " العملي", "probability": 0.9392903645833334}, {"start": 2187.26, "end": 2187.54, "word": " على", "probability": 0.9306640625}, {"start": 2187.54, "end": 2188.12, "word": " هذا", "probability": 0.97705078125}, {"start": 2188.12, "end": 2189.14, "word": " القانون", "probability": 0.9949544270833334}, {"start": 2189.14, "end": 2190.18, "word": " اكتبلي", "probability": 0.822705078125}, {"start": 2190.18, "end": 2190.52, "word": " اول", "probability": 0.77685546875}, {"start": 2190.52, "end": 2191.1, "word": " مثال", "probability": 0.74609375}, {"start": 2191.1, "end": 2191.76, "word": " احسبلي", "probability": 0.9312744140625}, {"start": 2191.76, "end": 2193.24, "word": " تكاملات", "probability": 0.86416015625}, {"start": 2193.24, "end": 2194.78, "word": " اتالية", "probability": 0.7689208984375}], "temperature": 1.0}, {"id": 101, "seek": 222037, "start": 2195.35, "end": 2220.37, "text": "يبقى evaluate the following integrals يبقى أول مجموعة من الأمثلة examples evaluate the following integrals", "tokens": [1829, 3555, 4587, 7578, 13059, 264, 3480, 3572, 1124, 7251, 3555, 4587, 7578, 5551, 12610, 3714, 7435, 2304, 2407, 27884, 9154, 16247, 2304, 12984, 37977, 5110, 13059, 264, 3480, 3572, 1124], "avg_logprob": -0.11413574521429837, "compression_ratio": 1.306930693069307, "no_speech_prob": 0.0, "words": [{"start": 2195.35, "end": 2195.95, "word": "يبقى", "probability": 0.7882080078125}, {"start": 2195.95, "end": 2196.49, "word": " evaluate", "probability": 0.5888671875}, {"start": 2196.49, "end": 2197.03, "word": " the", "probability": 0.88330078125}, {"start": 2197.03, "end": 2197.89, "word": " following", "probability": 0.783203125}, {"start": 2197.89, "end": 2199.89, "word": " integrals", "probability": 0.913818359375}, {"start": 2199.89, "end": 2203.49, "word": " يبقى", "probability": 0.9691162109375}, {"start": 2203.49, "end": 2203.83, "word": " أول", "probability": 0.93798828125}, {"start": 2203.83, "end": 2204.51, "word": " مجموعة", "probability": 0.959765625}, {"start": 2204.51, "end": 2204.77, "word": " من", "probability": 0.98388671875}, {"start": 2204.77, "end": 2205.75, "word": " الأمثلة", "probability": 0.9794921875}, {"start": 2205.75, "end": 2207.39, "word": " examples", "probability": 0.72509765625}, {"start": 2207.39, "end": 2211.03, "word": " evaluate", "probability": 0.88232421875}, {"start": 2211.03, "end": 2214.65, "word": " the", "probability": 0.92041015625}, {"start": 2214.65, "end": 2216.87, "word": " following", "probability": 0.78759765625}, {"start": 2216.87, "end": 2220.37, "word": " integrals", "probability": 0.94482421875}], "temperature": 1.0}, {"id": 102, "seek": 223839, "start": 2224.75, "end": 2238.39, "text": "أحسب لكل من التكاملات التالية أول تكامل تكامل x e أس تلاتة x في dx نجي لل a أس تلاتة x", "tokens": [10721, 5016, 35457, 5296, 28820, 9154, 16712, 4117, 10943, 1211, 9307, 16712, 6027, 10632, 5551, 12610, 6055, 4117, 10943, 1211, 6055, 4117, 10943, 1211, 2031, 308, 5551, 3794, 6055, 1211, 9307, 3660, 2031, 8978, 30017, 8717, 7435, 1829, 24976, 257, 5551, 3794, 6055, 1211, 9307, 3660, 2031], "avg_logprob": -0.29524739893774193, "compression_ratio": 1.5425531914893618, "no_speech_prob": 0.0, "words": [{"start": 2224.75, "end": 2225.35, "word": "أحسب", "probability": 0.7119140625}, {"start": 2225.35, "end": 2225.79, "word": " لكل", "probability": 0.704345703125}, {"start": 2225.79, "end": 2226.01, "word": " من", "probability": 0.80029296875}, {"start": 2226.01, "end": 2226.99, "word": " التكاملات", "probability": 0.96513671875}, {"start": 2226.99, "end": 2227.59, "word": " التالية", "probability": 0.9840494791666666}, {"start": 2227.59, "end": 2228.11, "word": " أول", "probability": 0.755126953125}, {"start": 2228.11, "end": 2229.01, "word": " تكامل", "probability": 0.9783935546875}, {"start": 2229.01, "end": 2230.17, "word": " تكامل", "probability": 0.946533203125}, {"start": 2230.17, "end": 2230.59, "word": " x", "probability": 0.476318359375}, {"start": 2230.59, "end": 2231.03, "word": " e", "probability": 0.430908203125}, {"start": 2231.03, "end": 2231.49, "word": " أس", "probability": 0.5079345703125}, {"start": 2231.49, "end": 2232.25, "word": " تلاتة", "probability": 0.7476806640625}, {"start": 2232.25, "end": 2232.55, "word": " x", "probability": 0.919921875}, {"start": 2232.55, "end": 2232.77, "word": " في", "probability": 0.7900390625}, {"start": 2232.77, "end": 2233.65, "word": " dx", "probability": 0.34033203125}, {"start": 2233.65, "end": 2237.09, "word": " نجي", "probability": 0.6740315755208334}, {"start": 2237.09, "end": 2237.25, "word": " لل", "probability": 0.57177734375}, {"start": 2237.25, "end": 2237.47, "word": " a", "probability": 0.221435546875}, {"start": 2237.47, "end": 2237.71, "word": " أس", "probability": 0.842529296875}, {"start": 2237.71, "end": 2238.13, "word": " تلاتة", "probability": 0.944091796875}, {"start": 2238.13, "end": 2238.39, "word": " x", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 103, "seek": 225527, "start": 2238.99, "end": 2255.27, "text": "سهل تفاضلها وسهل تكاملها، إذا ماعنديش مشكلة، حتى تفاضلها وتكاملها مش مشكلة بالدرجة للإكس، سهل تفاضلها وكذلك سهل تكاملها، بس لو كملت بتخلص، يبقى مش هتخلص أبداً", "tokens": [3794, 3224, 1211, 6055, 5172, 46958, 1211, 11296, 46952, 3224, 1211, 6055, 4117, 10943, 1211, 11296, 12399, 11933, 15730, 19446, 3615, 1863, 16254, 8592, 37893, 28820, 3660, 12399, 11331, 49975, 6055, 5172, 46958, 1211, 11296, 34683, 4117, 10943, 1211, 11296, 37893, 37893, 28820, 3660, 20666, 3215, 47341, 3660, 24976, 28814, 4117, 3794, 12399, 8608, 3224, 1211, 6055, 5172, 46958, 1211, 11296, 4032, 4117, 8848, 23275, 8608, 3224, 1211, 6055, 4117, 10943, 1211, 11296, 12399, 4724, 3794, 45164, 9122, 42213, 2655, 39894, 9778, 1211, 9381, 12399, 7251, 3555, 4587, 7578, 37893, 8032, 2655, 9778, 1211, 9381, 5551, 3555, 28259, 14111], "avg_logprob": -0.15867187857627868, "compression_ratio": 2.027972027972028, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2238.99, "end": 2239.69, "word": "سهل", "probability": 0.8504231770833334}, {"start": 2239.69, "end": 2240.59, "word": " تفاضلها", "probability": 0.97001953125}, {"start": 2240.59, "end": 2241.53, "word": " وسهل", "probability": 0.8619791666666666}, {"start": 2241.53, "end": 2242.61, "word": " تكاملها،", "probability": 0.80859375}, {"start": 2242.61, "end": 2242.77, "word": " إذا", "probability": 0.6251220703125}, {"start": 2242.77, "end": 2243.29, "word": " ماعنديش", "probability": 0.941015625}, {"start": 2243.29, "end": 2243.65, "word": " مشكلة،", "probability": 0.90283203125}, {"start": 2243.65, "end": 2243.91, "word": " حتى", "probability": 0.5140380859375}, {"start": 2243.91, "end": 2244.45, "word": " تفاضلها", "probability": 0.94619140625}, {"start": 2244.45, "end": 2244.93, "word": " وتكاملها", "probability": 0.859326171875}, {"start": 2244.93, "end": 2245.07, "word": " مش", "probability": 0.888671875}, {"start": 2245.07, "end": 2245.69, "word": " مشكلة", "probability": 0.98681640625}, {"start": 2245.69, "end": 2246.77, "word": " بالدرجة", "probability": 0.5823974609375}, {"start": 2246.77, "end": 2247.57, "word": " للإكس،", "probability": 0.7935546875}, {"start": 2247.57, "end": 2248.01, "word": " سهل", "probability": 0.9866536458333334}, {"start": 2248.01, "end": 2248.69, "word": " تفاضلها", "probability": 0.9896484375}, {"start": 2248.69, "end": 2249.21, "word": " وكذلك", "probability": 0.84283447265625}, {"start": 2249.21, "end": 2249.55, "word": " سهل", "probability": 0.9972330729166666}, {"start": 2249.55, "end": 2250.77, "word": " تكاملها،", "probability": 0.9745279947916666}, {"start": 2250.77, "end": 2251.07, "word": " بس", "probability": 0.968994140625}, {"start": 2251.07, "end": 2251.27, "word": " لو", "probability": 0.98876953125}, {"start": 2251.27, "end": 2251.71, "word": " كملت", "probability": 0.8976236979166666}, {"start": 2251.71, "end": 2252.91, "word": " بتخلص،", "probability": 0.8935546875}, {"start": 2252.91, "end": 2253.35, "word": " يبقى", "probability": 0.939697265625}, {"start": 2253.35, "end": 2253.49, "word": " مش", "probability": 0.9912109375}, {"start": 2253.49, "end": 2254.29, "word": " هتخلص", "probability": 0.99345703125}, {"start": 2254.29, "end": 2255.27, "word": " أبداً", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 104, "seek": 227883, "start": 2255.43, "end": 2278.83, "text": "يبقى automatic بدي اخدها اشتقاق لان الاشتقاق بعد مرتين تبقى خلصت، مظبوط؟ يبقى من هنا بدي اختيار التفكير بهذه الطريقة، اذا بدي اخد ال U تبعة القانون تساوي X والدي V كل اللي بضال، مين اللي بضال؟ اللي هو E أس ثلاثة X", "tokens": [1829, 3555, 4587, 7578, 12509, 4724, 16254, 1975, 9778, 3215, 11296, 1975, 8592, 2655, 4587, 995, 4587, 5296, 7649, 42963, 8592, 2655, 4587, 995, 4587, 39182, 3714, 43500, 9957, 6055, 3555, 4587, 7578, 16490, 1211, 9381, 2655, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 9154, 34105, 4724, 16254, 1975, 9778, 31371, 9640, 16712, 5172, 4117, 13546, 39627, 24192, 41950, 16572, 28671, 12399, 1975, 15730, 4724, 16254, 1975, 9778, 3215, 2423, 624, 6055, 3555, 27884, 25062, 7649, 11536, 6055, 3794, 995, 45865, 1783, 16070, 16254, 691, 28242, 13672, 1829, 4724, 11242, 6027, 12399, 3714, 9957, 13672, 1829, 4724, 11242, 6027, 22807, 13672, 1829, 31439, 462, 5551, 3794, 38637, 1211, 5718, 104, 3660, 1783], "avg_logprob": -0.19965277523057073, "compression_ratio": 1.7535545023696681, "no_speech_prob": 0.0, "words": [{"start": 2255.43, "end": 2256.01, "word": "يبقى", "probability": 0.760498046875}, {"start": 2256.01, "end": 2256.65, "word": " automatic", "probability": 0.397705078125}, {"start": 2256.65, "end": 2257.23, "word": " بدي", "probability": 0.47161865234375}, {"start": 2257.23, "end": 2257.95, "word": " اخدها", "probability": 0.7308349609375}, {"start": 2257.95, "end": 2258.79, "word": " اشتقاق", "probability": 0.9137369791666666}, {"start": 2258.79, "end": 2259.31, "word": " لان", "probability": 0.814453125}, {"start": 2259.31, "end": 2259.89, "word": " الاشتقاق", "probability": 0.9014078776041666}, {"start": 2259.89, "end": 2260.19, "word": " بعد", "probability": 0.935546875}, {"start": 2260.19, "end": 2260.85, "word": " مرتين", "probability": 0.9599609375}, {"start": 2260.85, "end": 2261.29, "word": " تبقى", "probability": 0.9019775390625}, {"start": 2261.29, "end": 2262.35, "word": " خلصت،", "probability": 0.779443359375}, {"start": 2262.35, "end": 2263.39, "word": " مظبوط؟", "probability": 0.88916015625}, {"start": 2263.39, "end": 2263.75, "word": " يبقى", "probability": 0.96142578125}, {"start": 2263.75, "end": 2263.91, "word": " من", "probability": 0.98583984375}, {"start": 2263.91, "end": 2264.19, "word": " هنا", "probability": 0.98828125}, {"start": 2264.19, "end": 2264.49, "word": " بدي", "probability": 0.6007080078125}, {"start": 2264.49, "end": 2265.39, "word": " اختيار", "probability": 0.78167724609375}, {"start": 2265.39, "end": 2265.89, "word": " التفكير", "probability": 0.990966796875}, {"start": 2265.89, "end": 2266.29, "word": " بهذه", "probability": 0.89794921875}, {"start": 2266.29, "end": 2266.89, "word": " الطريقة،", "probability": 0.8587646484375}, {"start": 2266.89, "end": 2267.23, "word": " اذا", "probability": 0.802978515625}, {"start": 2267.23, "end": 2268.15, "word": " بدي", "probability": 0.914794921875}, {"start": 2268.15, "end": 2268.59, "word": " اخد", "probability": 0.8732096354166666}, {"start": 2268.59, "end": 2268.83, "word": " ال", "probability": 0.98095703125}, {"start": 2268.83, "end": 2269.15, "word": " U", "probability": 0.685546875}, {"start": 2269.15, "end": 2269.67, "word": " تبعة", "probability": 0.7091471354166666}, {"start": 2269.67, "end": 2270.45, "word": " القانون", "probability": 0.9920247395833334}, {"start": 2270.45, "end": 2271.15, "word": " تساوي", "probability": 0.94140625}, {"start": 2271.15, "end": 2271.53, "word": " X", "probability": 0.89990234375}, {"start": 2271.53, "end": 2272.67, "word": " والدي", "probability": 0.36761474609375}, {"start": 2272.67, "end": 2273.13, "word": " V", "probability": 0.92138671875}, {"start": 2273.13, "end": 2273.67, "word": " كل", "probability": 0.97705078125}, {"start": 2273.67, "end": 2273.93, "word": " اللي", "probability": 0.9794921875}, {"start": 2273.93, "end": 2274.59, "word": " بضال،", "probability": 0.74237060546875}, {"start": 2274.59, "end": 2274.81, "word": " مين", "probability": 0.771240234375}, {"start": 2274.81, "end": 2274.99, "word": " اللي", "probability": 0.99462890625}, {"start": 2274.99, "end": 2275.91, "word": " بضال؟", "probability": 0.9649658203125}, {"start": 2275.91, "end": 2276.15, "word": " اللي", "probability": 0.919677734375}, {"start": 2276.15, "end": 2276.41, "word": " هو", "probability": 0.83740234375}, {"start": 2276.41, "end": 2276.77, "word": " E", "probability": 0.82373046875}, {"start": 2276.77, "end": 2277.31, "word": " أس", "probability": 0.744873046875}, {"start": 2277.31, "end": 2278.29, "word": " ثلاثة", "probability": 0.8861328125}, {"start": 2278.29, "end": 2278.83, "word": " X", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 105, "seek": 229551, "start": 2279.17, "end": 2295.51, "text": "بدي x طب نشتق ليش نشتق لإنه بدي du يبقى دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي", "tokens": [3555, 16254, 2031, 23032, 3555, 8717, 8592, 2655, 4587, 32239, 8592, 8717, 8592, 2655, 4587, 5296, 28814, 1863, 3224, 4724, 16254, 1581, 7251, 3555, 4587, 7578, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829, 11778, 1829], "avg_logprob": -0.22727272215515676, "compression_ratio": 3.671641791044776, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2279.17, "end": 2279.65, "word": "بدي", "probability": 0.4168701171875}, {"start": 2279.65, "end": 2280.27, "word": " x", "probability": 0.1800537109375}, {"start": 2280.27, "end": 2281.07, "word": " طب", "probability": 0.669677734375}, {"start": 2281.07, "end": 2281.79, "word": " نشتق", "probability": 0.93408203125}, {"start": 2281.79, "end": 2282.51, "word": " ليش", "probability": 0.85400390625}, {"start": 2282.51, "end": 2282.97, "word": " نشتق", "probability": 0.9915771484375}, {"start": 2282.97, "end": 2283.29, "word": " لإنه", "probability": 0.8067626953125}, {"start": 2283.29, "end": 2283.61, "word": " بدي", "probability": 0.867919921875}, {"start": 2283.61, "end": 2284.39, "word": " du", "probability": 0.7119140625}, {"start": 2284.39, "end": 2286.09, "word": " يبقى", "probability": 0.82806396484375}, {"start": 2286.09, "end": 2286.57, "word": " دي", "probability": 0.72509765625}, {"start": 2286.57, "end": 2287.13, "word": " دي", "probability": 0.6690673828125}, {"start": 2287.13, "end": 2287.31, "word": " دي", "probability": 0.60919189453125}, {"start": 2287.31, "end": 2287.35, "word": " دي", "probability": 0.668212890625}, {"start": 2287.35, "end": 2287.79, "word": " دي", "probability": 0.6943359375}, {"start": 2287.79, "end": 2287.99, "word": " دي", "probability": 0.7337646484375}, {"start": 2287.99, "end": 2287.99, "word": " دي", "probability": 0.773681640625}, {"start": 2287.99, "end": 2287.99, "word": " دي", "probability": 0.814208984375}, {"start": 2287.99, "end": 2288.43, "word": " دي", "probability": 0.862548828125}, {"start": 2288.43, "end": 2288.43, "word": " دي", "probability": 0.904541015625}, {"start": 2288.43, "end": 2288.43, "word": " دي", "probability": 0.93359375}, {"start": 2288.43, "end": 2288.61, "word": " دي", "probability": 0.952392578125}, {"start": 2288.61, "end": 2288.67, "word": " دي", "probability": 0.96337890625}, {"start": 2288.67, "end": 2288.67, "word": " دي", "probability": 0.969970703125}, {"start": 2288.67, "end": 2288.67, "word": " دي", "probability": 0.973876953125}, {"start": 2288.67, "end": 2289.01, "word": " دي", "probability": 0.976318359375}, {"start": 2289.01, "end": 2289.97, "word": " دي", "probability": 0.978271484375}, {"start": 2289.97, "end": 2289.97, "word": " دي", "probability": 0.97900390625}, {"start": 2289.97, "end": 2289.97, "word": " دي", "probability": 0.97998046875}, {"start": 2289.97, "end": 2290.01, "word": " دي", "probability": 0.980712890625}, {"start": 2290.01, "end": 2290.01, "word": " دي", "probability": 0.981201171875}, {"start": 2290.01, "end": 2290.99, "word": " دي", "probability": 0.981201171875}, {"start": 2290.99, "end": 2291.85, "word": " دي", "probability": 0.981689453125}, {"start": 2291.85, "end": 2292.11, "word": " دي", "probability": 0.982177734375}, {"start": 2292.11, "end": 2292.43, "word": " دي", "probability": 0.982421875}, {"start": 2292.43, "end": 2292.45, "word": " دي", "probability": 0.982666015625}, {"start": 2292.45, "end": 2292.75, "word": " دي", "probability": 0.98291015625}, {"start": 2292.75, "end": 2292.75, "word": " دي", "probability": 0.9833984375}, {"start": 2292.75, "end": 2292.77, "word": " دي", "probability": 0.98388671875}, {"start": 2292.77, "end": 2294.51, "word": " دي", "probability": 0.984130859375}, {"start": 2294.51, "end": 2294.51, "word": " دي", "probability": 0.984619140625}, {"start": 2294.51, "end": 2294.51, "word": " دي", "probability": 0.985107421875}, {"start": 2294.51, "end": 2294.51, "word": " دي", "probability": 0.9853515625}, {"start": 2294.51, "end": 2295.51, "word": " دي", "probability": 0.98583984375}, {"start": 2295.51, "end": 2295.51, "word": " دي", "probability": 0.986328125}, {"start": 2295.51, "end": 2295.51, "word": " دي", "probability": 0.986572265625}], "temperature": 1.0}, {"id": 106, "seek": 233176, "start": 2307.32, "end": 2331.76, "text": "يبقى النتيجة تساوي هذه U وهذه V يبقى ال U في ال V بدي أضرب اتنين في بعض يبقى لو ضربتهم بصير تلت X A أس تلاتة X هذا السؤال استخدمنا اللي هو القانون تبع integration by parts مرة واحدة فقط لا غير", "tokens": [1829, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 6055, 3794, 995, 45865, 29538, 624, 37037, 24192, 691, 7251, 3555, 4587, 7578, 2423, 624, 8978, 2423, 691, 4724, 16254, 5551, 11242, 25513, 1975, 2655, 1863, 9957, 8978, 45030, 11242, 7251, 3555, 4587, 7578, 45164, 48812, 25513, 2655, 16095, 4724, 9381, 13546, 6055, 1211, 2655, 1783, 316, 5551, 3794, 6055, 1211, 9307, 3660, 1783, 23758, 21136, 33604, 6027, 44713, 9778, 40448, 8315, 13672, 1829, 31439, 25062, 7649, 11536, 6055, 3555, 3615, 10980, 538, 3166, 3714, 25720, 36764, 24401, 3660, 6156, 47432, 20193, 32771, 13546], "avg_logprob": -0.15944219853288383, "compression_ratio": 1.553921568627451, "no_speech_prob": 0.0, "words": [{"start": 2307.32, "end": 2307.86, "word": "يبقى", "probability": 0.861083984375}, {"start": 2307.86, "end": 2308.56, "word": " النتيجة", "probability": 0.919677734375}, {"start": 2308.56, "end": 2309.48, "word": " تساوي", "probability": 0.9190673828125}, {"start": 2309.48, "end": 2310.54, "word": " هذه", "probability": 0.440673828125}, {"start": 2310.54, "end": 2311.04, "word": " U", "probability": 0.72802734375}, {"start": 2311.04, "end": 2312.14, "word": " وهذه", "probability": 0.82568359375}, {"start": 2312.14, "end": 2312.54, "word": " V", "probability": 0.96142578125}, {"start": 2312.54, "end": 2313.46, "word": " يبقى", "probability": 0.932861328125}, {"start": 2313.46, "end": 2313.6, "word": " ال", "probability": 0.74365234375}, {"start": 2313.6, "end": 2313.84, "word": " U", "probability": 0.56640625}, {"start": 2313.84, "end": 2314.1, "word": " في", "probability": 0.92333984375}, {"start": 2314.1, "end": 2314.32, "word": " ال", "probability": 0.74365234375}, {"start": 2314.32, "end": 2314.54, "word": " V", "probability": 0.96875}, {"start": 2314.54, "end": 2314.9, "word": " بدي", "probability": 0.3770751953125}, {"start": 2314.9, "end": 2315.28, "word": " أضرب", "probability": 0.8670247395833334}, {"start": 2315.28, "end": 2316.14, "word": " اتنين", "probability": 0.9337158203125}, {"start": 2316.14, "end": 2316.36, "word": " في", "probability": 0.93505859375}, {"start": 2316.36, "end": 2316.74, "word": " بعض", "probability": 0.862548828125}, {"start": 2316.74, "end": 2317.62, "word": " يبقى", "probability": 0.9349365234375}, {"start": 2317.62, "end": 2317.82, "word": " لو", "probability": 0.970703125}, {"start": 2317.82, "end": 2318.5, "word": " ضربتهم", "probability": 0.96533203125}, {"start": 2318.5, "end": 2319.18, "word": " بصير", "probability": 0.9498697916666666}, {"start": 2319.18, "end": 2319.94, "word": " تلت", "probability": 0.9519856770833334}, {"start": 2319.94, "end": 2320.48, "word": " X", "probability": 0.875}, {"start": 2320.48, "end": 2321.26, "word": " A", "probability": 0.3876953125}, {"start": 2321.26, "end": 2321.64, "word": " أس", "probability": 0.6171875}, {"start": 2321.64, "end": 2322.26, "word": " تلاتة", "probability": 0.736083984375}, {"start": 2322.26, "end": 2322.46, "word": " X", "probability": 0.9912109375}, {"start": 2322.46, "end": 2322.78, "word": " هذا", "probability": 0.78955078125}, {"start": 2322.78, "end": 2323.46, "word": " السؤال", "probability": 0.9962565104166666}, {"start": 2323.46, "end": 2324.8, "word": " استخدمنا", "probability": 0.9207763671875}, {"start": 2324.8, "end": 2325.6, "word": " اللي", "probability": 0.832763671875}, {"start": 2325.6, "end": 2325.92, "word": " هو", "probability": 0.994140625}, {"start": 2325.92, "end": 2326.58, "word": " القانون", "probability": 0.970703125}, {"start": 2326.58, "end": 2326.88, "word": " تبع", "probability": 0.8387044270833334}, {"start": 2326.88, "end": 2327.42, "word": " integration", "probability": 0.79248046875}, {"start": 2327.42, "end": 2327.8, "word": " by", "probability": 0.76318359375}, {"start": 2327.8, "end": 2328.18, "word": " parts", "probability": 0.89990234375}, {"start": 2328.18, "end": 2328.78, "word": " مرة", "probability": 0.919677734375}, {"start": 2328.78, "end": 2330.52, "word": " واحدة", "probability": 0.9768880208333334}, {"start": 2330.52, "end": 2331.06, "word": " فقط", "probability": 0.98681640625}, {"start": 2331.06, "end": 2331.38, "word": " لا", "probability": 0.654296875}, {"start": 2331.38, "end": 2331.76, "word": " غير", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 107, "seek": 234067, "start": 2332.41, "end": 2340.67, "text": "طيب بدنا نجي للسؤال الثاني بدنا تكامل x السابعة في لن ال x في bx", "tokens": [9566, 1829, 3555, 47525, 8315, 8717, 7435, 1829, 24976, 3794, 33604, 6027, 6024, 104, 7649, 1829, 47525, 8315, 6055, 4117, 10943, 1211, 2031, 21136, 16758, 27884, 8978, 5296, 1863, 2423, 2031, 8978, 272, 87], "avg_logprob": -0.3011160799435207, "compression_ratio": 1.2790697674418605, "no_speech_prob": 0.0, "words": [{"start": 2332.41, "end": 2333.01, "word": "طيب", "probability": 0.7324625651041666}, {"start": 2333.01, "end": 2333.47, "word": " بدنا", "probability": 0.772705078125}, {"start": 2333.47, "end": 2333.83, "word": " نجي", "probability": 0.7789713541666666}, {"start": 2333.83, "end": 2334.53, "word": " للسؤال", "probability": 0.9129638671875}, {"start": 2334.53, "end": 2335.15, "word": " الثاني", "probability": 0.9217529296875}, {"start": 2335.15, "end": 2335.67, "word": " بدنا", "probability": 0.904052734375}, {"start": 2335.67, "end": 2336.55, "word": " تكامل", "probability": 0.9871826171875}, {"start": 2336.55, "end": 2337.09, "word": " x", "probability": 0.54150390625}, {"start": 2337.09, "end": 2338.29, "word": " السابعة", "probability": 0.5982259114583334}, {"start": 2338.29, "end": 2338.97, "word": " في", "probability": 0.81201171875}, {"start": 2338.97, "end": 2339.35, "word": " لن", "probability": 0.91796875}, {"start": 2339.35, "end": 2339.53, "word": " ال", "probability": 0.923828125}, {"start": 2339.53, "end": 2339.87, "word": " x", "probability": 0.615234375}, {"start": 2339.87, "end": 2340.05, "word": " في", "probability": 0.331787109375}, {"start": 2340.05, "end": 2340.67, "word": " bx", "probability": 0.53485107421875}], "temperature": 1.0}, {"id": 108, "seek": 236671, "start": 2343.45, "end": 2366.71, "text": "طبعا بضاجي لن ال X بنعرف ان كاملها لن ال X حتى الآن ماعرفناش مظبوط لكن نشتاقها سهل جدا واحد على X إذا بدي أروح أختار ال U تساوي لن ال X و دي V كل اللي بيظل له X و ال 7 في مين؟ في ال DX", "tokens": [9566, 3555, 3615, 995, 4724, 11242, 26108, 1829, 5296, 1863, 2423, 1783, 44945, 3615, 28480, 16472, 9122, 10943, 1211, 11296, 5296, 1863, 2423, 1783, 11331, 49975, 6024, 48506, 19446, 3615, 28480, 1863, 33599, 3714, 19913, 3555, 2407, 9566, 44381, 8717, 8592, 2655, 995, 4587, 11296, 8608, 3224, 1211, 10874, 28259, 36764, 24401, 15844, 1783, 11933, 15730, 4724, 16254, 5551, 32887, 5016, 5551, 46456, 9640, 2423, 624, 6055, 3794, 995, 45865, 5296, 1863, 2423, 1783, 4032, 11778, 1829, 691, 28242, 13672, 1829, 4724, 1829, 19913, 1211, 46740, 1783, 4032, 2423, 1614, 8978, 3714, 9957, 22807, 8978, 2423, 48817], "avg_logprob": -0.3193558688674654, "compression_ratio": 1.6720430107526882, "no_speech_prob": 0.0, "words": [{"start": 2343.45, "end": 2344.01, "word": "طبعا", "probability": 0.7256927490234375}, {"start": 2344.01, "end": 2344.79, "word": " بضاجي", "probability": 0.283050537109375}, {"start": 2344.79, "end": 2345.13, "word": " لن", "probability": 0.67822265625}, {"start": 2345.13, "end": 2345.33, "word": " ال", "probability": 0.5380859375}, {"start": 2345.33, "end": 2345.65, "word": " X", "probability": 0.51318359375}, {"start": 2345.65, "end": 2346.47, "word": " بنعرف", "probability": 0.7504069010416666}, {"start": 2346.47, "end": 2346.61, "word": " ان", "probability": 0.74169921875}, {"start": 2346.61, "end": 2347.37, "word": " كاملها", "probability": 0.947509765625}, {"start": 2347.37, "end": 2348.73, "word": " لن", "probability": 0.94677734375}, {"start": 2348.73, "end": 2348.87, "word": " ال", "probability": 0.76611328125}, {"start": 2348.87, "end": 2349.19, "word": " X", "probability": 0.98876953125}, {"start": 2349.19, "end": 2350.39, "word": " حتى", "probability": 0.86279296875}, {"start": 2350.39, "end": 2350.67, "word": " الآن", "probability": 0.6318359375}, {"start": 2350.67, "end": 2351.53, "word": " ماعرفناش", "probability": 0.88525390625}, {"start": 2351.53, "end": 2352.55, "word": " مظبوط", "probability": 0.727099609375}, {"start": 2352.55, "end": 2353.15, "word": " لكن", "probability": 0.86328125}, {"start": 2353.15, "end": 2354.13, "word": " نشتاقها", "probability": 0.91845703125}, {"start": 2354.13, "end": 2355.13, "word": " سهل", "probability": 0.9900716145833334}, {"start": 2355.13, "end": 2355.43, "word": " جدا", "probability": 0.99609375}, {"start": 2355.43, "end": 2355.77, "word": " واحد", "probability": 0.83349609375}, {"start": 2355.77, "end": 2355.95, "word": " على", "probability": 0.53076171875}, {"start": 2355.95, "end": 2356.29, "word": " X", "probability": 0.826171875}, {"start": 2356.29, "end": 2356.87, "word": " إذا", "probability": 0.6884765625}, {"start": 2356.87, "end": 2357.71, "word": " بدي", "probability": 0.48974609375}, {"start": 2357.71, "end": 2357.99, "word": " أروح", "probability": 0.70458984375}, {"start": 2357.99, "end": 2358.77, "word": " أختار", "probability": 0.85888671875}, {"start": 2358.77, "end": 2359.09, "word": " ال", "probability": 0.8662109375}, {"start": 2359.09, "end": 2359.43, "word": " U", "probability": 0.90234375}, {"start": 2359.43, "end": 2360.33, "word": " تساوي", "probability": 0.88134765625}, {"start": 2360.33, "end": 2360.83, "word": " لن", "probability": 0.963134765625}, {"start": 2360.83, "end": 2361.01, "word": " ال", "probability": 0.822265625}, {"start": 2361.01, "end": 2361.33, "word": " X", "probability": 0.98583984375}, {"start": 2361.33, "end": 2361.69, "word": " و", "probability": 0.8662109375}, {"start": 2361.69, "end": 2362.05, "word": " دي", "probability": 0.634521484375}, {"start": 2362.05, "end": 2362.25, "word": " V", "probability": 0.72216796875}, {"start": 2362.25, "end": 2362.61, "word": " كل", "probability": 0.98046875}, {"start": 2362.61, "end": 2362.85, "word": " اللي", "probability": 0.984375}, {"start": 2362.85, "end": 2363.41, "word": " بيظل", "probability": 0.8431396484375}, {"start": 2363.41, "end": 2364.05, "word": " له", "probability": 0.202392578125}, {"start": 2364.05, "end": 2364.51, "word": " X", "probability": 0.982421875}, {"start": 2364.51, "end": 2364.81, "word": " و", "probability": 0.56201171875}, {"start": 2364.81, "end": 2364.95, "word": " ال", "probability": 0.35400390625}, {"start": 2364.95, "end": 2365.31, "word": " 7", "probability": 0.8037109375}, {"start": 2365.31, "end": 2365.67, "word": " في", "probability": 0.95654296875}, {"start": 2365.67, "end": 2366.27, "word": " مين؟", "probability": 0.69580078125}, {"start": 2366.27, "end": 2366.39, "word": " في", "probability": 0.9208984375}, {"start": 2366.39, "end": 2366.49, "word": " ال", "probability": 0.82666015625}, {"start": 2366.49, "end": 2366.71, "word": " DX", "probability": 0.92431640625}], "temperature": 1.0}, {"id": 109, "seek": 238623, "start": 2367.21, "end": 2386.23, "text": "نشتاق يبقى du بواحد على x dx وال V بx أس تمانية على تمانية هذه ال U و هذه ال V إذا النتيجة تساوي U في V يبقى تمان X أس تمانية", "tokens": [1863, 8592, 2655, 995, 4587, 7251, 3555, 4587, 7578, 1581, 4724, 14407, 24401, 15844, 2031, 30017, 16070, 691, 4724, 87, 5551, 3794, 46811, 7649, 10632, 15844, 46811, 7649, 10632, 29538, 2423, 624, 4032, 29538, 2423, 691, 11933, 15730, 2423, 29399, 1829, 7435, 3660, 6055, 3794, 995, 45865, 624, 8978, 691, 7251, 3555, 4587, 7578, 46811, 7649, 1783, 5551, 3794, 46811, 7649, 10632], "avg_logprob": -0.23090278487356883, "compression_ratio": 1.6171875, "no_speech_prob": 0.0, "words": [{"start": 2367.21, "end": 2368.17, "word": "نشتاق", "probability": 0.776318359375}, {"start": 2368.17, "end": 2368.97, "word": " يبقى", "probability": 0.944091796875}, {"start": 2368.97, "end": 2369.35, "word": " du", "probability": 0.6650390625}, {"start": 2369.35, "end": 2370.11, "word": " بواحد", "probability": 0.7779947916666666}, {"start": 2370.11, "end": 2370.37, "word": " على", "probability": 0.63623046875}, {"start": 2370.37, "end": 2370.69, "word": " x", "probability": 0.94677734375}, {"start": 2370.69, "end": 2371.27, "word": " dx", "probability": 0.8837890625}, {"start": 2371.27, "end": 2372.09, "word": " وال", "probability": 0.5224609375}, {"start": 2372.09, "end": 2372.45, "word": " V", "probability": 0.438720703125}, {"start": 2372.45, "end": 2373.47, "word": " بx", "probability": 0.832763671875}, {"start": 2373.47, "end": 2373.81, "word": " أس", "probability": 0.565185546875}, {"start": 2373.81, "end": 2374.61, "word": " تمانية", "probability": 0.9290364583333334}, {"start": 2374.61, "end": 2375.25, "word": " على", "probability": 0.86669921875}, {"start": 2375.25, "end": 2375.99, "word": " تمانية", "probability": 0.9757486979166666}, {"start": 2375.99, "end": 2376.77, "word": " هذه", "probability": 0.3642578125}, {"start": 2376.77, "end": 2377.01, "word": " ال", "probability": 0.8837890625}, {"start": 2377.01, "end": 2377.31, "word": " U", "probability": 0.66064453125}, {"start": 2377.31, "end": 2377.87, "word": " و", "probability": 0.6484375}, {"start": 2377.87, "end": 2378.11, "word": " هذه", "probability": 0.90185546875}, {"start": 2378.11, "end": 2378.29, "word": " ال", "probability": 0.89599609375}, {"start": 2378.29, "end": 2378.51, "word": " V", "probability": 0.96728515625}, {"start": 2378.51, "end": 2378.91, "word": " إذا", "probability": 0.61767578125}, {"start": 2378.91, "end": 2379.73, "word": " النتيجة", "probability": 0.8619140625}, {"start": 2379.73, "end": 2380.53, "word": " تساوي", "probability": 0.8651123046875}, {"start": 2380.53, "end": 2381.73, "word": " U", "probability": 0.841796875}, {"start": 2381.73, "end": 2382.09, "word": " في", "probability": 0.9462890625}, {"start": 2382.09, "end": 2382.49, "word": " V", "probability": 0.97509765625}, {"start": 2382.49, "end": 2383.27, "word": " يبقى", "probability": 0.9879150390625}, {"start": 2383.27, "end": 2384.03, "word": " تمان", "probability": 0.4962158203125}, {"start": 2384.03, "end": 2384.77, "word": " X", "probability": 0.50634765625}, {"start": 2384.77, "end": 2385.37, "word": " أس", "probability": 0.965576171875}, {"start": 2385.37, "end": 2386.23, "word": " تمانية", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 110, "seek": 241509, "start": 2386.75, "end": 2415.09, "text": "فى لن ال X ناقص تكامل V دالي V ب X أس تمانية على تمانية دالي وليه واحد على X من DX يبقى تمن X أس تمانية فى لن ال X ناقص هذا التمن برا وهى تكامل فى اختصارات ما بين الاتنين بيصير X أس سبعة من ل DX", "tokens": [5172, 7578, 5296, 1863, 2423, 1783, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211, 691, 11778, 6027, 1829, 691, 4724, 1783, 5551, 3794, 46811, 7649, 10632, 15844, 46811, 7649, 10632, 11778, 6027, 1829, 4032, 20292, 3224, 36764, 24401, 15844, 1783, 9154, 48817, 7251, 3555, 4587, 7578, 46811, 1863, 1783, 5551, 3794, 46811, 7649, 10632, 6156, 7578, 5296, 1863, 2423, 1783, 8717, 995, 4587, 9381, 23758, 16712, 27842, 4724, 23557, 37037, 7578, 6055, 4117, 10943, 1211, 6156, 7578, 1975, 46456, 9381, 9640, 9307, 19446, 49374, 2423, 9307, 1863, 9957, 4724, 1829, 9381, 13546, 1783, 5551, 3794, 8608, 3555, 27884, 9154, 5296, 48817], "avg_logprob": -0.2809436414756027, "compression_ratio": 1.964071856287425, "no_speech_prob": 0.0, "words": [{"start": 2386.75, "end": 2387.07, "word": "فى", "probability": 0.27496337890625}, {"start": 2387.07, "end": 2387.43, "word": " لن", "probability": 0.694091796875}, {"start": 2387.43, "end": 2387.71, "word": " ال", "probability": 0.66455078125}, {"start": 2387.71, "end": 2388.01, "word": " X", "probability": 0.58984375}, {"start": 2388.01, "end": 2389.05, "word": " ناقص", "probability": 0.8978271484375}, {"start": 2389.05, "end": 2389.87, "word": " تكامل", "probability": 0.94091796875}, {"start": 2389.87, "end": 2390.37, "word": " V", "probability": 0.8349609375}, {"start": 2390.37, "end": 2391.17, "word": " دالي", "probability": 0.61163330078125}, {"start": 2391.17, "end": 2392.07, "word": " V", "probability": 0.59375}, {"start": 2392.07, "end": 2392.39, "word": " ب", "probability": 0.66748046875}, {"start": 2392.39, "end": 2392.79, "word": " X", "probability": 0.55029296875}, {"start": 2392.79, "end": 2393.15, "word": " أس", "probability": 0.31201171875}, {"start": 2393.15, "end": 2393.79, "word": " تمانية", "probability": 0.8634440104166666}, {"start": 2393.79, "end": 2394.13, "word": " على", "probability": 0.7841796875}, {"start": 2394.13, "end": 2394.95, "word": " تمانية", "probability": 0.9651692708333334}, {"start": 2394.95, "end": 2396.03, "word": " دالي", "probability": 0.94775390625}, {"start": 2396.03, "end": 2396.53, "word": " وليه", "probability": 0.43695068359375}, {"start": 2396.53, "end": 2397.09, "word": " واحد", "probability": 0.982177734375}, {"start": 2397.09, "end": 2397.43, "word": " على", "probability": 0.65966796875}, {"start": 2397.43, "end": 2397.87, "word": " X", "probability": 0.880859375}, {"start": 2397.87, "end": 2398.41, "word": " من", "probability": 0.875}, {"start": 2398.41, "end": 2399.41, "word": " DX", "probability": 0.939453125}, {"start": 2399.41, "end": 2400.57, "word": " يبقى", "probability": 0.9766845703125}, {"start": 2400.57, "end": 2401.29, "word": " تمن", "probability": 0.4486083984375}, {"start": 2401.29, "end": 2401.97, "word": " X", "probability": 0.94921875}, {"start": 2401.97, "end": 2402.45, "word": " أس", "probability": 0.87548828125}, {"start": 2402.45, "end": 2403.15, "word": " تمانية", "probability": 0.9855143229166666}, {"start": 2403.15, "end": 2403.55, "word": " فى", "probability": 0.67724609375}, {"start": 2403.55, "end": 2403.87, "word": " لن", "probability": 0.99462890625}, {"start": 2403.87, "end": 2404.13, "word": " ال", "probability": 0.8544921875}, {"start": 2404.13, "end": 2404.51, "word": " X", "probability": 0.97802734375}, {"start": 2404.51, "end": 2405.61, "word": " ناقص", "probability": 0.9805908203125}, {"start": 2405.61, "end": 2406.17, "word": " هذا", "probability": 0.806640625}, {"start": 2406.17, "end": 2406.71, "word": " التمن", "probability": 0.639892578125}, {"start": 2406.71, "end": 2407.43, "word": " برا", "probability": 0.861572265625}, {"start": 2407.43, "end": 2408.49, "word": " وهى", "probability": 0.581787109375}, {"start": 2408.49, "end": 2409.11, "word": " تكامل", "probability": 0.8509521484375}, {"start": 2409.11, "end": 2409.29, "word": " فى", "probability": 0.874267578125}, {"start": 2409.29, "end": 2410.43, "word": " اختصارات", "probability": 0.966796875}, {"start": 2410.43, "end": 2410.93, "word": " ما", "probability": 0.9580078125}, {"start": 2410.93, "end": 2411.11, "word": " بين", "probability": 0.97119140625}, {"start": 2411.11, "end": 2411.65, "word": " الاتنين", "probability": 0.69384765625}, {"start": 2411.65, "end": 2412.01, "word": " بيصير", "probability": 0.85498046875}, {"start": 2412.01, "end": 2412.41, "word": " X", "probability": 0.98046875}, {"start": 2412.41, "end": 2412.81, "word": " أس", "probability": 0.940185546875}, {"start": 2412.81, "end": 2413.27, "word": " سبعة", "probability": 0.7919921875}, {"start": 2413.27, "end": 2413.67, "word": " من", "probability": 0.994140625}, {"start": 2413.67, "end": 2414.59, "word": " ل", "probability": 0.5791015625}, {"start": 2414.59, "end": 2415.09, "word": " DX", "probability": 0.6083984375}], "temperature": 1.0}, {"id": 111, "seek": 244162, "start": 2415.92, "end": 2441.62, "text": "يبقى هذا الكلام تمون x أس تمانية لإن ال x ناقص تمون خليك برا وهذه كان تاني تكامل من التلاتين لتو يبقى بضيف للأس واحد وبقسم على الأس الجديد يبقى هنا في x أس تمانية على تمانية زائد كونستانسي يعني كان واحد", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 46811, 11536, 2031, 5551, 3794, 46811, 7649, 10632, 5296, 28814, 1863, 2423, 2031, 8717, 995, 4587, 9381, 46811, 11536, 16490, 20292, 4117, 4724, 23557, 37037, 24192, 25961, 6055, 7649, 1829, 6055, 4117, 10943, 1211, 9154, 16712, 1211, 9307, 9957, 5296, 2655, 2407, 7251, 3555, 4587, 7578, 4724, 11242, 33911, 24976, 10721, 3794, 36764, 24401, 46599, 4587, 38251, 15844, 16247, 3794, 25724, 16254, 3215, 7251, 3555, 4587, 7578, 34105, 8978, 2031, 5551, 3794, 46811, 7649, 10632, 15844, 46811, 7649, 10632, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 3794, 1829, 37495, 22653, 25961, 36764, 24401], "avg_logprob": -0.22748162086103477, "compression_ratio": 1.935483870967742, "no_speech_prob": 0.0, "words": [{"start": 2415.92, "end": 2416.42, "word": "يبقى", "probability": 0.7952880859375}, {"start": 2416.42, "end": 2416.7, "word": " هذا", "probability": 0.8603515625}, {"start": 2416.7, "end": 2417.36, "word": " الكلام", "probability": 0.89599609375}, {"start": 2417.36, "end": 2418.26, "word": " تمون", "probability": 0.2933349609375}, {"start": 2418.26, "end": 2419.24, "word": " x", "probability": 0.381591796875}, {"start": 2419.24, "end": 2419.7, "word": " أس", "probability": 0.646728515625}, {"start": 2419.7, "end": 2420.46, "word": " تمانية", "probability": 0.8899739583333334}, {"start": 2420.46, "end": 2421.0, "word": " لإن", "probability": 0.8072916666666666}, {"start": 2421.0, "end": 2421.26, "word": " ال", "probability": 0.7998046875}, {"start": 2421.26, "end": 2421.66, "word": " x", "probability": 0.54833984375}, {"start": 2421.66, "end": 2422.68, "word": " ناقص", "probability": 0.963134765625}, {"start": 2422.68, "end": 2423.1, "word": " تمون", "probability": 0.949462890625}, {"start": 2423.1, "end": 2423.62, "word": " خليك", "probability": 0.765625}, {"start": 2423.62, "end": 2424.08, "word": " برا", "probability": 0.915771484375}, {"start": 2424.08, "end": 2425.28, "word": " وهذه", "probability": 0.481201171875}, {"start": 2425.28, "end": 2425.86, "word": " كان", "probability": 0.73583984375}, {"start": 2425.86, "end": 2426.28, "word": " تاني", "probability": 0.6409505208333334}, {"start": 2426.28, "end": 2426.92, "word": " تكامل", "probability": 0.75146484375}, {"start": 2426.92, "end": 2427.08, "word": " من", "probability": 0.978515625}, {"start": 2427.08, "end": 2427.7, "word": " التلاتين", "probability": 0.921630859375}, {"start": 2427.7, "end": 2428.38, "word": " لتو", "probability": 0.5985514322916666}, {"start": 2428.38, "end": 2429.06, "word": " يبقى", "probability": 0.9088134765625}, {"start": 2429.06, "end": 2429.44, "word": " بضيف", "probability": 0.8045247395833334}, {"start": 2429.44, "end": 2429.86, "word": " للأس", "probability": 0.7596842447916666}, {"start": 2429.86, "end": 2430.16, "word": " واحد", "probability": 0.9921875}, {"start": 2430.16, "end": 2430.8, "word": " وبقسم", "probability": 0.80126953125}, {"start": 2430.8, "end": 2431.62, "word": " على", "probability": 0.9287109375}, {"start": 2431.62, "end": 2432.26, "word": " الأس", "probability": 0.902099609375}, {"start": 2432.26, "end": 2433.34, "word": " الجديد", "probability": 0.9737955729166666}, {"start": 2433.34, "end": 2434.26, "word": " يبقى", "probability": 0.9842529296875}, {"start": 2434.26, "end": 2434.7, "word": " هنا", "probability": 0.984375}, {"start": 2434.7, "end": 2435.04, "word": " في", "probability": 0.95458984375}, {"start": 2435.04, "end": 2435.58, "word": " x", "probability": 0.91162109375}, {"start": 2435.58, "end": 2436.1, "word": " أس", "probability": 0.947265625}, {"start": 2436.1, "end": 2436.9, "word": " تمانية", "probability": 0.9860026041666666}, {"start": 2436.9, "end": 2437.56, "word": " على", "probability": 0.81689453125}, {"start": 2437.56, "end": 2438.5, "word": " تمانية", "probability": 0.9749348958333334}, {"start": 2438.5, "end": 2439.3, "word": " زائد", "probability": 0.7978515625}, {"start": 2439.3, "end": 2440.16, "word": " كونستانسي", "probability": 0.7967936197916666}, {"start": 2440.16, "end": 2440.4, "word": " يعني", "probability": 0.896484375}, {"start": 2440.4, "end": 2440.78, "word": " كان", "probability": 0.5478515625}, {"start": 2440.78, "end": 2441.62, "word": " واحد", "probability": 0.982666015625}], "temperature": 1.0}, {"id": 112, "seek": 245613, "start": 2441.83, "end": 2456.13, "text": "على 64X أُس 8 زائد constant C السؤال التالت بدنا تكامل لمين لإن ال X في DX", "tokens": [3615, 23942, 12145, 55, 5551, 10859, 3794, 1649, 30767, 16373, 3215, 5754, 383, 21136, 33604, 6027, 16712, 6027, 2655, 47525, 8315, 6055, 4117, 10943, 1211, 32767, 9957, 5296, 28814, 1863, 2423, 1783, 8978, 48817], "avg_logprob": -0.22790178230830602, "compression_ratio": 1.0841121495327102, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2441.83, "end": 2442.37, "word": "على", "probability": 0.6810302734375}, {"start": 2442.37, "end": 2443.87, "word": " 64X", "probability": 0.5390625}, {"start": 2443.87, "end": 2444.27, "word": " أُس", "probability": 0.646484375}, {"start": 2444.27, "end": 2444.69, "word": " 8", "probability": 0.89697265625}, {"start": 2444.69, "end": 2446.15, "word": " زائد", "probability": 0.8416341145833334}, {"start": 2446.15, "end": 2446.87, "word": " constant", "probability": 0.77099609375}, {"start": 2446.87, "end": 2447.69, "word": " C", "probability": 0.88525390625}, {"start": 2447.69, "end": 2448.93, "word": " السؤال", "probability": 0.9410807291666666}, {"start": 2448.93, "end": 2449.89, "word": " التالت", "probability": 0.9674479166666666}, {"start": 2449.89, "end": 2451.71, "word": " بدنا", "probability": 0.76953125}, {"start": 2451.71, "end": 2452.81, "word": " تكامل", "probability": 0.9835205078125}, {"start": 2452.81, "end": 2453.71, "word": " لمين", "probability": 0.739501953125}, {"start": 2453.71, "end": 2454.57, "word": " لإن", "probability": 0.704833984375}, {"start": 2454.57, "end": 2454.87, "word": " ال", "probability": 0.8095703125}, {"start": 2454.87, "end": 2455.49, "word": " X", "probability": 0.7861328125}, {"start": 2455.49, "end": 2455.71, "word": " في", "probability": 0.9453125}, {"start": 2455.71, "end": 2456.13, "word": " DX", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 113, "seek": 247954, "start": 2458.3, "end": 2479.54, "text": "يبقى هذا اللذي لم نتعرض له قبل ذلك في ال chapter الماضي لا ال lin ولا ال log كنا بنشتقها صح بس تكامل ماكناش نقدر عليها لكن الأن أقصدنا بسيطة جدا يبقى أنا بدى تكامل ل lin ال x يبقى إجباري بدى أخد lin ال x هي بيو", "tokens": [1829, 3555, 4587, 7578, 23758, 13672, 8848, 1829, 32767, 8717, 2655, 3615, 43042, 46740, 12174, 36150, 29910, 23275, 8978, 2423, 7187, 9673, 46958, 1829, 20193, 2423, 22896, 49429, 2423, 3565, 9122, 8315, 44945, 8592, 2655, 4587, 11296, 20328, 5016, 4724, 3794, 6055, 4117, 10943, 1211, 19446, 19452, 33599, 8717, 28543, 2288, 25894, 11296, 44381, 16247, 1863, 5551, 4587, 9381, 3215, 8315, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 7251, 3555, 4587, 7578, 41850, 47525, 7578, 6055, 4117, 10943, 1211, 5296, 22896, 2423, 2031, 7251, 3555, 4587, 7578, 11933, 7435, 3555, 9640, 1829, 47525, 7578, 5551, 9778, 3215, 22896, 2423, 2031, 39896, 4724, 1829, 2407], "avg_logprob": -0.24404762018294562, "compression_ratio": 1.7425742574257426, "no_speech_prob": 0.0, "words": [{"start": 2458.3, "end": 2458.8, "word": "يبقى", "probability": 0.81451416015625}, {"start": 2458.8, "end": 2459.08, "word": " هذا", "probability": 0.8974609375}, {"start": 2459.08, "end": 2459.48, "word": " اللذي", "probability": 0.6758626302083334}, {"start": 2459.48, "end": 2459.68, "word": " لم", "probability": 0.94482421875}, {"start": 2459.68, "end": 2460.36, "word": " نتعرض", "probability": 0.92578125}, {"start": 2460.36, "end": 2460.6, "word": " له", "probability": 0.92041015625}, {"start": 2460.6, "end": 2461.12, "word": " قبل", "probability": 0.984130859375}, {"start": 2461.12, "end": 2461.52, "word": " ذلك", "probability": 0.992431640625}, {"start": 2461.52, "end": 2461.68, "word": " في", "probability": 0.94482421875}, {"start": 2461.68, "end": 2461.82, "word": " ال", "probability": 0.5830078125}, {"start": 2461.82, "end": 2462.24, "word": " chapter", "probability": 0.8505859375}, {"start": 2462.24, "end": 2463.08, "word": " الماضي", "probability": 0.92578125}, {"start": 2463.08, "end": 2463.3, "word": " لا", "probability": 0.437255859375}, {"start": 2463.3, "end": 2463.52, "word": " ال", "probability": 0.560546875}, {"start": 2463.52, "end": 2463.8, "word": " lin", "probability": 0.12286376953125}, {"start": 2463.8, "end": 2464.12, "word": " ولا", "probability": 0.931640625}, {"start": 2464.12, "end": 2464.34, "word": " ال", "probability": 0.8369140625}, {"start": 2464.34, "end": 2464.6, "word": " log", "probability": 0.68701171875}, {"start": 2464.6, "end": 2465.16, "word": " كنا", "probability": 0.87841796875}, {"start": 2465.16, "end": 2465.88, "word": " بنشتقها", "probability": 0.8431640625}, {"start": 2465.88, "end": 2466.18, "word": " صح", "probability": 0.90673828125}, {"start": 2466.18, "end": 2466.46, "word": " بس", "probability": 0.892333984375}, {"start": 2466.46, "end": 2467.06, "word": " تكامل", "probability": 0.9515380859375}, {"start": 2467.06, "end": 2467.92, "word": " ماكناش", "probability": 0.91748046875}, {"start": 2467.92, "end": 2468.58, "word": " نقدر", "probability": 0.9925130208333334}, {"start": 2468.58, "end": 2469.22, "word": " عليها", "probability": 0.98486328125}, {"start": 2469.22, "end": 2470.14, "word": " لكن", "probability": 0.703125}, {"start": 2470.14, "end": 2470.52, "word": " الأن", "probability": 0.54632568359375}, {"start": 2470.52, "end": 2471.2, "word": " أقصدنا", "probability": 0.5858154296875}, {"start": 2471.2, "end": 2471.74, "word": " بسيطة", "probability": 0.97373046875}, {"start": 2471.74, "end": 2472.32, "word": " جدا", "probability": 0.991455078125}, {"start": 2472.32, "end": 2473.46, "word": " يبقى", "probability": 0.96435546875}, {"start": 2473.46, "end": 2473.72, "word": " أنا", "probability": 0.5361328125}, {"start": 2473.72, "end": 2474.1, "word": " بدى", "probability": 0.728759765625}, {"start": 2474.1, "end": 2474.82, "word": " تكامل", "probability": 0.915771484375}, {"start": 2474.82, "end": 2474.96, "word": " ل", "probability": 0.70703125}, {"start": 2474.96, "end": 2475.26, "word": " lin", "probability": 0.25244140625}, {"start": 2475.26, "end": 2475.46, "word": " ال", "probability": 0.75}, {"start": 2475.46, "end": 2475.68, "word": " x", "probability": 0.58203125}, {"start": 2475.68, "end": 2476.26, "word": " يبقى", "probability": 0.9822998046875}, {"start": 2476.26, "end": 2477.18, "word": " إجباري", "probability": 0.93330078125}, {"start": 2477.18, "end": 2477.52, "word": " بدى", "probability": 0.460693359375}, {"start": 2477.52, "end": 2477.94, "word": " أخد", "probability": 0.89111328125}, {"start": 2477.94, "end": 2478.28, "word": " lin", "probability": 0.352783203125}, {"start": 2478.28, "end": 2478.48, "word": " ال", "probability": 0.97412109375}, {"start": 2478.48, "end": 2478.78, "word": " x", "probability": 0.88330078125}, {"start": 2478.78, "end": 2479.08, "word": " هي", "probability": 0.92431640625}, {"start": 2479.08, "end": 2479.54, "word": " بيو", "probability": 0.6050618489583334}], "temperature": 1.0}, {"id": 114, "seek": 250615, "start": 2480.05, "end": 2506.15, "text": "مش DV لان انا بدي كاملها اصلا تمام يبقى باجي بقوله بدي اخد ال U تساوي لن ال X و DV كل اللي بضل جدش بضل DX بس نشتق هذه يبقى DU بواحد على X DX وهذه تكاملها ب X يبقى النتيجة تساوي U في ال V يبقى X", "tokens": [2304, 8592, 17021, 5296, 7649, 1975, 8315, 4724, 16254, 9122, 10943, 1211, 11296, 1975, 9381, 15040, 46811, 10943, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 4724, 16254, 1975, 9778, 3215, 2423, 624, 6055, 3794, 995, 45865, 5296, 1863, 2423, 1783, 4032, 17021, 28242, 13672, 1829, 4724, 11242, 1211, 10874, 3215, 8592, 4724, 11242, 1211, 48817, 4724, 3794, 8717, 8592, 2655, 4587, 29538, 7251, 3555, 4587, 7578, 28423, 4724, 14407, 24401, 15844, 1783, 48817, 37037, 24192, 6055, 4117, 10943, 1211, 11296, 4724, 1783, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 6055, 3794, 995, 45865, 624, 8978, 2423, 691, 7251, 3555, 4587, 7578, 1783], "avg_logprob": -0.21261682744338134, "compression_ratio": 1.7932960893854748, "no_speech_prob": 0.0, "words": [{"start": 2480.05, "end": 2480.59, "word": "مش", "probability": 0.5574951171875}, {"start": 2480.59, "end": 2481.05, "word": " DV", "probability": 0.415771484375}, {"start": 2481.05, "end": 2481.51, "word": " لان", "probability": 0.555908203125}, {"start": 2481.51, "end": 2481.73, "word": " انا", "probability": 0.828369140625}, {"start": 2481.73, "end": 2481.99, "word": " بدي", "probability": 0.716552734375}, {"start": 2481.99, "end": 2482.53, "word": " كاملها", "probability": 0.815185546875}, {"start": 2482.53, "end": 2483.05, "word": " اصلا", "probability": 0.9109700520833334}, {"start": 2483.05, "end": 2483.85, "word": " تمام", "probability": 0.703857421875}, {"start": 2483.85, "end": 2484.83, "word": " يبقى", "probability": 0.9005126953125}, {"start": 2484.83, "end": 2485.23, "word": " باجي", "probability": 0.7539876302083334}, {"start": 2485.23, "end": 2485.75, "word": " بقوله", "probability": 0.7978515625}, {"start": 2485.75, "end": 2486.05, "word": " بدي", "probability": 0.82275390625}, {"start": 2486.05, "end": 2486.51, "word": " اخد", "probability": 0.8767903645833334}, {"start": 2486.51, "end": 2486.73, "word": " ال", "probability": 0.96728515625}, {"start": 2486.73, "end": 2486.97, "word": " U", "probability": 0.90185546875}, {"start": 2486.97, "end": 2487.73, "word": " تساوي", "probability": 0.8792724609375}, {"start": 2487.73, "end": 2488.15, "word": " لن", "probability": 0.59326171875}, {"start": 2488.15, "end": 2488.37, "word": " ال", "probability": 0.7197265625}, {"start": 2488.37, "end": 2488.67, "word": " X", "probability": 0.92919921875}, {"start": 2488.67, "end": 2489.25, "word": " و", "probability": 0.95263671875}, {"start": 2489.25, "end": 2489.67, "word": " DV", "probability": 0.79638671875}, {"start": 2489.67, "end": 2490.11, "word": " كل", "probability": 0.90625}, {"start": 2490.11, "end": 2490.29, "word": " اللي", "probability": 0.978759765625}, {"start": 2490.29, "end": 2490.57, "word": " بضل", "probability": 0.5096028645833334}, {"start": 2490.57, "end": 2490.93, "word": " جدش", "probability": 0.59033203125}, {"start": 2490.93, "end": 2491.43, "word": " بضل", "probability": 0.8468424479166666}, {"start": 2491.43, "end": 2492.53, "word": " DX", "probability": 0.9619140625}, {"start": 2492.53, "end": 2492.95, "word": " بس", "probability": 0.802001953125}, {"start": 2492.95, "end": 2494.19, "word": " نشتق", "probability": 0.9576416015625}, {"start": 2494.19, "end": 2494.69, "word": " هذه", "probability": 0.57666015625}, {"start": 2494.69, "end": 2495.17, "word": " يبقى", "probability": 0.9805908203125}, {"start": 2495.17, "end": 2495.77, "word": " DU", "probability": 0.71484375}, {"start": 2495.77, "end": 2496.67, "word": " بواحد", "probability": 0.8631184895833334}, {"start": 2496.67, "end": 2496.97, "word": " على", "probability": 0.80224609375}, {"start": 2496.97, "end": 2497.35, "word": " X", "probability": 0.90234375}, {"start": 2497.35, "end": 2497.75, "word": " DX", "probability": 0.9775390625}, {"start": 2497.75, "end": 2498.79, "word": " وهذه", "probability": 0.752685546875}, {"start": 2498.79, "end": 2499.99, "word": " تكاملها", "probability": 0.94091796875}, {"start": 2499.99, "end": 2500.77, "word": " ب", "probability": 0.81201171875}, {"start": 2500.77, "end": 2501.07, "word": " X", "probability": 0.5302734375}, {"start": 2501.07, "end": 2501.95, "word": " يبقى", "probability": 0.989990234375}, {"start": 2501.95, "end": 2502.73, "word": " النتيجة", "probability": 0.9285888671875}, {"start": 2502.73, "end": 2503.43, "word": " تساوي", "probability": 0.9656982421875}, {"start": 2503.43, "end": 2503.95, "word": " U", "probability": 0.98388671875}, {"start": 2503.95, "end": 2504.25, "word": " في", "probability": 0.91845703125}, {"start": 2504.25, "end": 2504.47, "word": " ال", "probability": 0.7490234375}, {"start": 2504.47, "end": 2504.77, "word": " V", "probability": 0.943359375}, {"start": 2504.77, "end": 2505.69, "word": " يبقى", "probability": 0.9927978515625}, {"start": 2505.69, "end": 2506.15, "word": " X", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 115, "seek": 253357, "start": 2506.49, "end": 2533.57, "text": "فلان ال X ناقص تكامل V ليه ب X داليه لواحد على X DX يبقى هذا الكلام بده يسوى X لان ال X ناقص تكامل واحد في ال DX يبقى النتيجة X لان ال X ناقص X زاد constant C إذا من الآن فصاعدا", "tokens": [5172, 1211, 7649, 2423, 1783, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211, 691, 32239, 3224, 4724, 1783, 11778, 6027, 1829, 3224, 5296, 14407, 24401, 15844, 1783, 48817, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 2407, 7578, 1783, 5296, 7649, 2423, 1783, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211, 36764, 24401, 8978, 2423, 48817, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 1783, 5296, 7649, 2423, 1783, 8717, 995, 4587, 9381, 1783, 30767, 18513, 5754, 383, 11933, 15730, 9154, 6024, 48506, 6156, 9381, 995, 22488, 995], "avg_logprob": -0.20026882104976204, "compression_ratio": 1.795031055900621, "no_speech_prob": 0.0, "words": [{"start": 2506.49, "end": 2507.05, "word": "فلان", "probability": 0.4685872395833333}, {"start": 2507.05, "end": 2507.27, "word": " ال", "probability": 0.87646484375}, {"start": 2507.27, "end": 2507.53, "word": " X", "probability": 0.5849609375}, {"start": 2507.53, "end": 2508.49, "word": " ناقص", "probability": 0.925048828125}, {"start": 2508.49, "end": 2509.29, "word": " تكامل", "probability": 0.9869384765625}, {"start": 2509.29, "end": 2509.85, "word": " V", "probability": 0.89453125}, {"start": 2509.85, "end": 2510.67, "word": " ليه", "probability": 0.647216796875}, {"start": 2510.67, "end": 2510.79, "word": " ب", "probability": 0.83154296875}, {"start": 2510.79, "end": 2511.11, "word": " X", "probability": 0.7236328125}, {"start": 2511.11, "end": 2512.37, "word": " داليه", "probability": 0.52764892578125}, {"start": 2512.37, "end": 2513.31, "word": " لواحد", "probability": 0.64111328125}, {"start": 2513.31, "end": 2513.67, "word": " على", "probability": 0.76513671875}, {"start": 2513.67, "end": 2514.07, "word": " X", "probability": 0.80029296875}, {"start": 2514.07, "end": 2514.75, "word": " DX", "probability": 0.87109375}, {"start": 2514.75, "end": 2515.73, "word": " يبقى", "probability": 0.9261474609375}, {"start": 2515.73, "end": 2516.03, "word": " هذا", "probability": 0.9140625}, {"start": 2516.03, "end": 2516.53, "word": " الكلام", "probability": 0.9625651041666666}, {"start": 2516.53, "end": 2516.89, "word": " بده", "probability": 0.4783935546875}, {"start": 2516.89, "end": 2517.43, "word": " يسوى", "probability": 0.784423828125}, {"start": 2517.43, "end": 2517.93, "word": " X", "probability": 0.94482421875}, {"start": 2517.93, "end": 2518.47, "word": " لان", "probability": 0.893798828125}, {"start": 2518.47, "end": 2518.65, "word": " ال", "probability": 0.701171875}, {"start": 2518.65, "end": 2519.03, "word": " X", "probability": 0.99267578125}, {"start": 2519.03, "end": 2519.99, "word": " ناقص", "probability": 0.9945068359375}, {"start": 2519.99, "end": 2521.01, "word": " تكامل", "probability": 0.9918212890625}, {"start": 2521.01, "end": 2522.13, "word": " واحد", "probability": 0.9697265625}, {"start": 2522.13, "end": 2522.33, "word": " في", "probability": 0.93994140625}, {"start": 2522.33, "end": 2522.45, "word": " ال", "probability": 0.6103515625}, {"start": 2522.45, "end": 2523.07, "word": " DX", "probability": 0.9794921875}, {"start": 2523.07, "end": 2524.07, "word": " يبقى", "probability": 0.9847412109375}, {"start": 2524.07, "end": 2524.87, "word": " النتيجة", "probability": 0.92529296875}, {"start": 2524.87, "end": 2525.41, "word": " X", "probability": 0.98193359375}, {"start": 2525.41, "end": 2526.03, "word": " لان", "probability": 0.953125}, {"start": 2526.03, "end": 2526.25, "word": " ال", "probability": 0.91943359375}, {"start": 2526.25, "end": 2526.67, "word": " X", "probability": 0.9912109375}, {"start": 2526.67, "end": 2527.79, "word": " ناقص", "probability": 0.9947509765625}, {"start": 2527.79, "end": 2528.29, "word": " X", "probability": 0.9873046875}, {"start": 2528.29, "end": 2529.11, "word": " زاد", "probability": 0.822998046875}, {"start": 2529.11, "end": 2529.69, "word": " constant", "probability": 0.5546875}, {"start": 2529.69, "end": 2530.39, "word": " C", "probability": 0.9580078125}, {"start": 2530.39, "end": 2531.37, "word": " إذا", "probability": 0.681640625}, {"start": 2531.37, "end": 2531.61, "word": " من", "probability": 0.95068359375}, {"start": 2531.61, "end": 2532.21, "word": " الآن", "probability": 0.75244140625}, {"start": 2532.21, "end": 2533.57, "word": " فصاعدا", "probability": 0.90205078125}], "temperature": 1.0}, {"id": 116, "seek": 255471, "start": 2534.75, "end": 2554.71, "text": "تكامل من؟ تكامل لن ال X هو عبارة عن X لن ال X ناقص X يبقى مسألتنا من الأن فصلا صارت سهلة طب لو كانت log ال X للأساس تلاتة لن ال X على لن تلاتة واحد على لن تلاتة برا وتكامل لن ال X هيو", "tokens": [2655, 4117, 10943, 1211, 9154, 22807, 6055, 4117, 10943, 1211, 5296, 1863, 2423, 1783, 31439, 6225, 3555, 9640, 3660, 18871, 1783, 5296, 1863, 2423, 1783, 8717, 995, 4587, 9381, 1783, 7251, 3555, 4587, 7578, 47524, 10721, 1211, 2655, 8315, 9154, 16247, 1863, 6156, 9381, 15040, 20328, 9640, 2655, 8608, 3224, 37977, 23032, 3555, 45164, 25961, 2655, 3565, 2423, 1783, 24976, 10721, 3794, 32277, 6055, 1211, 9307, 3660, 5296, 1863, 2423, 1783, 15844, 5296, 1863, 6055, 1211, 9307, 3660, 36764, 24401, 15844, 5296, 1863, 6055, 1211, 9307, 3660, 4724, 23557, 34683, 4117, 10943, 1211, 5296, 1863, 2423, 1783, 39896, 2407], "avg_logprob": -0.21156249493360518, "compression_ratio": 1.9197530864197532, "no_speech_prob": 0.0, "words": [{"start": 2534.75, "end": 2535.51, "word": "تكامل", "probability": 0.840087890625}, {"start": 2535.51, "end": 2536.03, "word": " من؟", "probability": 0.617919921875}, {"start": 2536.03, "end": 2536.77, "word": " تكامل", "probability": 0.9332275390625}, {"start": 2536.77, "end": 2537.11, "word": " لن", "probability": 0.609130859375}, {"start": 2537.11, "end": 2537.29, "word": " ال", "probability": 0.697265625}, {"start": 2537.29, "end": 2537.65, "word": " X", "probability": 0.5458984375}, {"start": 2537.65, "end": 2538.15, "word": " هو", "probability": 0.8828125}, {"start": 2538.15, "end": 2538.69, "word": " عبارة", "probability": 0.8349609375}, {"start": 2538.69, "end": 2538.87, "word": " عن", "probability": 0.98828125}, {"start": 2538.87, "end": 2539.13, "word": " X", "probability": 0.921875}, {"start": 2539.13, "end": 2539.51, "word": " لن", "probability": 0.966552734375}, {"start": 2539.51, "end": 2539.63, "word": " ال", "probability": 0.433837890625}, {"start": 2539.63, "end": 2539.91, "word": " X", "probability": 0.97265625}, {"start": 2539.91, "end": 2540.41, "word": " ناقص", "probability": 0.828125}, {"start": 2540.41, "end": 2540.75, "word": " X", "probability": 0.97509765625}, {"start": 2540.75, "end": 2541.43, "word": " يبقى", "probability": 0.8856201171875}, {"start": 2541.43, "end": 2542.07, "word": " مسألتنا", "probability": 0.82802734375}, {"start": 2542.07, "end": 2542.23, "word": " من", "probability": 0.93896484375}, {"start": 2542.23, "end": 2542.61, "word": " الأن", "probability": 0.6192626953125}, {"start": 2542.61, "end": 2543.05, "word": " فصلا", "probability": 0.4908854166666667}, {"start": 2543.05, "end": 2543.59, "word": " صارت", "probability": 0.9430338541666666}, {"start": 2543.59, "end": 2544.11, "word": " سهلة", "probability": 0.8894856770833334}, {"start": 2544.11, "end": 2544.79, "word": " طب", "probability": 0.7841796875}, {"start": 2544.79, "end": 2544.99, "word": " لو", "probability": 0.990234375}, {"start": 2544.99, "end": 2545.45, "word": " كانت", "probability": 0.916015625}, {"start": 2545.45, "end": 2545.73, "word": " log", "probability": 0.52197265625}, {"start": 2545.73, "end": 2545.93, "word": " ال", "probability": 0.47265625}, {"start": 2545.93, "end": 2546.25, "word": " X", "probability": 0.99169921875}, {"start": 2546.25, "end": 2547.01, "word": " للأساس", "probability": 0.935791015625}, {"start": 2547.01, "end": 2547.97, "word": " تلاتة", "probability": 0.878173828125}, {"start": 2547.97, "end": 2548.45, "word": " لن", "probability": 0.9072265625}, {"start": 2548.45, "end": 2548.47, "word": " ال", "probability": 0.6240234375}, {"start": 2548.47, "end": 2550.19, "word": " X", "probability": 0.9912109375}, {"start": 2550.19, "end": 2550.45, "word": " على", "probability": 0.66796875}, {"start": 2550.45, "end": 2550.81, "word": " لن", "probability": 0.978515625}, {"start": 2550.81, "end": 2551.37, "word": " تلاتة", "probability": 0.9620361328125}, {"start": 2551.37, "end": 2551.79, "word": " واحد", "probability": 0.7459716796875}, {"start": 2551.79, "end": 2551.95, "word": " على", "probability": 0.5107421875}, {"start": 2551.95, "end": 2552.23, "word": " لن", "probability": 0.98193359375}, {"start": 2552.23, "end": 2552.65, "word": " تلاتة", "probability": 0.9830322265625}, {"start": 2552.65, "end": 2552.91, "word": " برا", "probability": 0.65087890625}, {"start": 2552.91, "end": 2553.53, "word": " وتكامل", "probability": 0.8858642578125}, {"start": 2553.53, "end": 2553.79, "word": " لن", "probability": 0.968994140625}, {"start": 2553.79, "end": 2553.97, "word": " ال", "probability": 0.9013671875}, {"start": 2553.97, "end": 2554.23, "word": " X", "probability": 0.98974609375}, {"start": 2554.23, "end": 2554.71, "word": " هيو", "probability": 0.638427734375}], "temperature": 1.0}, {"id": 117, "seek": 258059, "start": 2561.85, "end": 2580.59, "text": "سؤال الرابع سؤال الرابع سؤال الرابع سؤال الرابع سؤال الرابع", "tokens": [3794, 33604, 6027, 34892, 16758, 3615, 8608, 33604, 6027, 34892, 16758, 3615, 8608, 33604, 6027, 34892, 16758, 3615, 8608, 33604, 6027, 34892, 16758, 3615, 8608, 33604, 6027, 34892, 16758, 3615], "avg_logprob": -0.3674395045926494, "compression_ratio": 3.303030303030303, "no_speech_prob": 0.0, "words": [{"start": 2561.8499999999995, "end": 2563.1499999999996, "word": "سؤال", "probability": 0.759033203125}, {"start": 2563.1499999999996, "end": 2564.45, "word": " الرابع", "probability": 0.8551432291666666}, {"start": 2564.45, "end": 2565.11, "word": " سؤال", "probability": 0.5951741536458334}, {"start": 2565.11, "end": 2566.29, "word": " الرابع", "probability": 0.9650065104166666}, {"start": 2566.29, "end": 2579.71, "word": " سؤال", "probability": 0.699951171875}, {"start": 2579.71, "end": 2580.35, "word": " الرابع", "probability": 0.8499348958333334}, {"start": 2580.35, "end": 2580.41, "word": " سؤال", "probability": 0.7649739583333334}, {"start": 2580.41, "end": 2580.47, "word": " الرابع", "probability": 0.9749348958333334}, {"start": 2580.47, "end": 2580.53, "word": " سؤال", "probability": 0.794189453125}, {"start": 2580.53, "end": 2580.59, "word": " الرابع", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 118, "seek": 259676, "start": 2581.74, "end": 2596.76, "text": "ممكن احطها بصيغة جديدة جدر ال X تعني X وسقداش لو طلعته فوق يبقى بيصير كأن المسألة X أسالب نص فإن ال X في DX", "tokens": [2304, 43020, 1975, 5016, 9566, 11296, 4724, 9381, 1829, 17082, 3660, 10874, 16254, 41891, 10874, 3215, 2288, 2423, 1783, 37279, 22653, 1783, 46952, 28543, 33599, 45164, 23032, 1211, 34268, 3224, 6156, 30543, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 9122, 33456, 9673, 3794, 10721, 37977, 1783, 5551, 3794, 6027, 3555, 8717, 9381, 6156, 28814, 1863, 2423, 1783, 8978, 48817], "avg_logprob": -0.231557376072055, "compression_ratio": 1.4045801526717556, "no_speech_prob": 0.0, "words": [{"start": 2581.74, "end": 2582.28, "word": "ممكن", "probability": 0.7144775390625}, {"start": 2582.28, "end": 2583.0, "word": " احطها", "probability": 0.7681884765625}, {"start": 2583.0, "end": 2583.96, "word": " بصيغة", "probability": 0.97548828125}, {"start": 2583.96, "end": 2584.78, "word": " جديدة", "probability": 0.98388671875}, {"start": 2584.78, "end": 2585.76, "word": " جدر", "probability": 0.7501627604166666}, {"start": 2585.76, "end": 2585.88, "word": " ال", "probability": 0.91162109375}, {"start": 2585.88, "end": 2586.08, "word": " X", "probability": 0.4873046875}, {"start": 2586.08, "end": 2586.44, "word": " تعني", "probability": 0.744873046875}, {"start": 2586.44, "end": 2586.66, "word": " X", "probability": 0.89111328125}, {"start": 2586.66, "end": 2587.48, "word": " وسقداش", "probability": 0.52685546875}, {"start": 2587.48, "end": 2588.46, "word": " لو", "probability": 0.458251953125}, {"start": 2588.46, "end": 2589.14, "word": " طلعته", "probability": 0.9815673828125}, {"start": 2589.14, "end": 2590.1, "word": " فوق", "probability": 0.9462890625}, {"start": 2590.1, "end": 2590.86, "word": " يبقى", "probability": 0.936767578125}, {"start": 2590.86, "end": 2591.34, "word": " بيصير", "probability": 0.8958740234375}, {"start": 2591.34, "end": 2592.0, "word": " كأن", "probability": 0.921142578125}, {"start": 2592.0, "end": 2592.92, "word": " المسألة", "probability": 0.892822265625}, {"start": 2592.92, "end": 2593.34, "word": " X", "probability": 0.92578125}, {"start": 2593.34, "end": 2594.32, "word": " أسالب", "probability": 0.713653564453125}, {"start": 2594.32, "end": 2594.82, "word": " نص", "probability": 0.9921875}, {"start": 2594.82, "end": 2595.52, "word": " فإن", "probability": 0.6566569010416666}, {"start": 2595.52, "end": 2595.78, "word": " ال", "probability": 0.724609375}, {"start": 2595.78, "end": 2596.2, "word": " X", "probability": 0.9560546875}, {"start": 2596.2, "end": 2596.4, "word": " في", "probability": 0.88525390625}, {"start": 2596.4, "end": 2596.76, "word": " DX", "probability": 0.456298828125}], "temperature": 1.0}, {"id": 119, "seek": 262295, "start": 2597.89, "end": 2622.95, "text": "أظن لو بدي أخد لإن ال X تكمل ماعنديش مشكلة لإنها موجودة عندي هيها فوق بس مكلكعة شوية هيك، تمام؟ لكن لو بدي أشتقها سهل جدا، صحيح ولا لأ؟ هذه ال X أسالة بالنص تشتقها و الله تكملها على كل الأمر، يعني سهلة، يبقى مدام التنتينة يبقى هذه اشتقاقها أسل بروح باخد U تساوي لإن ال X", "tokens": [10721, 19913, 1863, 45164, 4724, 16254, 5551, 9778, 3215, 5296, 28814, 1863, 2423, 1783, 6055, 24793, 1211, 19446, 3615, 1863, 16254, 8592, 37893, 28820, 3660, 5296, 28814, 1863, 11296, 3714, 29245, 23328, 3660, 18871, 16254, 39896, 11296, 6156, 30543, 4724, 3794, 3714, 28820, 4117, 27884, 13412, 2407, 10632, 39896, 4117, 12399, 46811, 10943, 22807, 44381, 45164, 4724, 16254, 5551, 8592, 2655, 4587, 11296, 8608, 3224, 1211, 10874, 28259, 12399, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 29538, 2423, 1783, 5551, 3794, 6027, 3660, 20666, 1863, 9381, 6055, 8592, 2655, 4587, 11296, 4032, 21984, 6055, 24793, 1211, 11296, 15844, 28242, 16247, 29973, 12399, 37495, 22653, 8608, 3224, 37977, 12399, 7251, 3555, 4587, 7578, 3714, 3215, 10943, 16712, 29399, 9957, 3660, 7251, 3555, 4587, 7578, 29538, 1975, 8592, 2655, 4587, 995, 4587, 11296, 5551, 3794, 1211, 4724, 32887, 5016, 4724, 47283, 3215, 624, 6055, 3794, 995, 45865, 5296, 28814, 1863, 2423, 1783], "avg_logprob": -0.20466694176981323, "compression_ratio": 1.94331983805668, "no_speech_prob": 0.0, "words": [{"start": 2597.89, "end": 2598.49, "word": "أظن", "probability": 0.7360026041666666}, {"start": 2598.49, "end": 2598.65, "word": " لو", "probability": 0.89990234375}, {"start": 2598.65, "end": 2598.89, "word": " بدي", "probability": 0.56317138671875}, {"start": 2598.89, "end": 2599.31, "word": " أخد", "probability": 0.748046875}, {"start": 2599.31, "end": 2599.57, "word": " لإن", "probability": 0.74658203125}, {"start": 2599.57, "end": 2599.73, "word": " ال", "probability": 0.90771484375}, {"start": 2599.73, "end": 2599.87, "word": " X", "probability": 0.6513671875}, {"start": 2599.87, "end": 2600.37, "word": " تكمل", "probability": 0.89208984375}, {"start": 2600.37, "end": 2600.89, "word": " ماعنديش", "probability": 0.9056640625}, {"start": 2600.89, "end": 2601.37, "word": " مشكلة", "probability": 0.9773763020833334}, {"start": 2601.37, "end": 2601.71, "word": " لإنها", "probability": 0.902587890625}, {"start": 2601.71, "end": 2602.33, "word": " موجودة", "probability": 0.9801025390625}, {"start": 2602.33, "end": 2602.73, "word": " عندي", "probability": 0.6390380859375}, {"start": 2602.73, "end": 2603.19, "word": " هيها", "probability": 0.873291015625}, {"start": 2603.19, "end": 2603.67, "word": " فوق", "probability": 0.9873046875}, {"start": 2603.67, "end": 2604.37, "word": " بس", "probability": 0.8232421875}, {"start": 2604.37, "end": 2605.07, "word": " مكلكعة", "probability": 0.65411376953125}, {"start": 2605.07, "end": 2605.55, "word": " شوية", "probability": 0.87255859375}, {"start": 2605.55, "end": 2606.31, "word": " هيك،", "probability": 0.6276041666666666}, {"start": 2606.31, "end": 2607.13, "word": " تمام؟", "probability": 0.7716471354166666}, {"start": 2607.13, "end": 2607.41, "word": " لكن", "probability": 0.91943359375}, {"start": 2607.41, "end": 2607.61, "word": " لو", "probability": 0.99072265625}, {"start": 2607.61, "end": 2607.79, "word": " بدي", "probability": 0.98046875}, {"start": 2607.79, "end": 2608.47, "word": " أشتقها", "probability": 0.92275390625}, {"start": 2608.47, "end": 2608.99, "word": " سهل", "probability": 0.9295247395833334}, {"start": 2608.99, "end": 2609.75, "word": " جدا،", "probability": 0.9295247395833334}, {"start": 2609.75, "end": 2610.09, "word": " صحيح", "probability": 0.96923828125}, {"start": 2610.09, "end": 2610.25, "word": " ولا", "probability": 0.62841796875}, {"start": 2610.25, "end": 2611.09, "word": " لأ؟", "probability": 0.7473958333333334}, {"start": 2611.09, "end": 2611.45, "word": " هذه", "probability": 0.390869140625}, {"start": 2611.45, "end": 2611.63, "word": " ال", "probability": 0.83447265625}, {"start": 2611.63, "end": 2611.87, "word": " X", "probability": 0.97314453125}, {"start": 2611.87, "end": 2612.45, "word": " أسالة", "probability": 0.68505859375}, {"start": 2612.45, "end": 2612.75, "word": " بالنص", "probability": 0.6920572916666666}, {"start": 2612.75, "end": 2613.45, "word": " تشتقها", "probability": 0.9744140625}, {"start": 2613.45, "end": 2613.59, "word": " و", "probability": 0.48779296875}, {"start": 2613.59, "end": 2613.71, "word": " الله", "probability": 0.771484375}, {"start": 2613.71, "end": 2614.31, "word": " تكملها", "probability": 0.9818115234375}, {"start": 2614.31, "end": 2614.51, "word": " على", "probability": 0.888671875}, {"start": 2614.51, "end": 2614.81, "word": " كل", "probability": 0.982421875}, {"start": 2614.81, "end": 2615.33, "word": " الأمر،", "probability": 0.9189453125}, {"start": 2615.33, "end": 2615.47, "word": " يعني", "probability": 0.92919921875}, {"start": 2615.47, "end": 2616.55, "word": " سهلة،", "probability": 0.798095703125}, {"start": 2616.55, "end": 2616.97, "word": " يبقى", "probability": 0.91796875}, {"start": 2616.97, "end": 2617.41, "word": " مدام", "probability": 0.7594401041666666}, {"start": 2617.41, "end": 2618.23, "word": " التنتينة", "probability": 0.596435546875}, {"start": 2618.23, "end": 2618.39, "word": " يبقى", "probability": 0.8536376953125}, {"start": 2618.39, "end": 2618.63, "word": " هذه", "probability": 0.8203125}, {"start": 2618.63, "end": 2619.39, "word": " اشتقاقها", "probability": 0.8674665178571429}, {"start": 2619.39, "end": 2619.71, "word": " أسل", "probability": 0.8663736979166666}, {"start": 2619.71, "end": 2620.05, "word": " بروح", "probability": 0.9103190104166666}, {"start": 2620.05, "end": 2620.57, "word": " باخد", "probability": 0.93994140625}, {"start": 2620.57, "end": 2621.01, "word": " U", "probability": 0.96484375}, {"start": 2621.01, "end": 2621.95, "word": " تساوي", "probability": 0.9237060546875}, {"start": 2621.95, "end": 2622.45, "word": " لإن", "probability": 0.9248046875}, {"start": 2622.45, "end": 2622.65, "word": " ال", "probability": 0.8232421875}, {"start": 2622.65, "end": 2622.95, "word": " X", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 120, "seek": 265036, "start": 2623.44, "end": 2650.36, "text": "إذا لو أخدت ال U تساوي لن ال X هذا بدي يعطيك ان ال DU يساوي واحد على X DX الآن ال DV كل اللي بيظل بيظل قداش X أص و هنا دي X أص نص مع X بيصير واحد على X أص نص لو طلعناها فوق بيصير X أص ناقص نص في مهم", "tokens": [28814, 15730, 45164, 5551, 9778, 3215, 2655, 2423, 624, 6055, 3794, 995, 45865, 5296, 1863, 2423, 1783, 23758, 4724, 16254, 37495, 9566, 1829, 4117, 16472, 2423, 28423, 7251, 3794, 995, 45865, 36764, 24401, 15844, 1783, 48817, 6024, 48506, 2423, 17021, 28242, 13672, 1829, 4724, 1829, 19913, 1211, 4724, 1829, 19913, 1211, 12174, 3215, 33599, 1783, 5551, 9381, 4032, 34105, 11778, 1829, 1783, 5551, 9381, 8717, 9381, 20449, 1783, 4724, 1829, 9381, 13546, 36764, 24401, 15844, 1783, 5551, 9381, 8717, 9381, 45164, 23032, 1211, 3615, 8315, 11296, 6156, 30543, 4724, 1829, 9381, 13546, 1783, 5551, 9381, 8717, 995, 4587, 9381, 8717, 9381, 8978, 3714, 16095], "avg_logprob": -0.23601190476190476, "compression_ratio": 1.848314606741573, "no_speech_prob": 0.0, "words": [{"start": 2623.44, "end": 2623.82, "word": "إذا", "probability": 0.614013671875}, {"start": 2623.82, "end": 2624.08, "word": " لو", "probability": 0.8857421875}, {"start": 2624.08, "end": 2624.86, "word": " أخدت", "probability": 0.904052734375}, {"start": 2624.86, "end": 2625.12, "word": " ال", "probability": 0.91748046875}, {"start": 2625.12, "end": 2625.5, "word": " U", "probability": 0.625}, {"start": 2625.5, "end": 2627.08, "word": " تساوي", "probability": 0.9063720703125}, {"start": 2627.08, "end": 2627.68, "word": " لن", "probability": 0.62890625}, {"start": 2627.68, "end": 2627.92, "word": " ال", "probability": 0.5908203125}, {"start": 2627.92, "end": 2628.32, "word": " X", "probability": 0.94482421875}, {"start": 2628.32, "end": 2628.68, "word": " هذا", "probability": 0.6083984375}, {"start": 2628.68, "end": 2629.14, "word": " بدي", "probability": 0.3736572265625}, {"start": 2629.14, "end": 2629.84, "word": " يعطيك", "probability": 0.85546875}, {"start": 2629.84, "end": 2630.32, "word": " ان", "probability": 0.56884765625}, {"start": 2630.32, "end": 2630.68, "word": " ال", "probability": 0.66455078125}, {"start": 2630.68, "end": 2631.3, "word": " DU", "probability": 0.85205078125}, {"start": 2631.3, "end": 2632.62, "word": " يساوي", "probability": 0.7833251953125}, {"start": 2632.62, "end": 2633.22, "word": " واحد", "probability": 0.841552734375}, {"start": 2633.22, "end": 2633.6, "word": " على", "probability": 0.40576171875}, {"start": 2633.6, "end": 2634.1, "word": " X", "probability": 0.93115234375}, {"start": 2634.1, "end": 2634.68, "word": " DX", "probability": 0.51513671875}, {"start": 2634.68, "end": 2635.84, "word": " الآن", "probability": 0.54058837890625}, {"start": 2635.84, "end": 2636.16, "word": " ال", "probability": 0.90087890625}, {"start": 2636.16, "end": 2636.7, "word": " DV", "probability": 0.90869140625}, {"start": 2636.7, "end": 2637.2, "word": " كل", "probability": 0.92529296875}, {"start": 2637.2, "end": 2637.4, "word": " اللي", "probability": 0.939697265625}, {"start": 2637.4, "end": 2637.78, "word": " بيظل", "probability": 0.68243408203125}, {"start": 2637.78, "end": 2638.16, "word": " بيظل", "probability": 0.84088134765625}, {"start": 2638.16, "end": 2638.78, "word": " قداش", "probability": 0.6494140625}, {"start": 2638.78, "end": 2639.24, "word": " X", "probability": 0.91259765625}, {"start": 2639.24, "end": 2639.64, "word": " أص", "probability": 0.5341796875}, {"start": 2639.64, "end": 2639.9, "word": " و", "probability": 0.1513671875}, {"start": 2639.9, "end": 2640.36, "word": " هنا", "probability": 0.441162109375}, {"start": 2640.36, "end": 2640.74, "word": " دي", "probability": 0.862548828125}, {"start": 2640.74, "end": 2641.12, "word": " X", "probability": 0.95849609375}, {"start": 2641.12, "end": 2641.52, "word": " أص", "probability": 0.929931640625}, {"start": 2641.52, "end": 2641.86, "word": " نص", "probability": 0.98388671875}, {"start": 2641.86, "end": 2642.24, "word": " مع", "probability": 0.97705078125}, {"start": 2642.24, "end": 2642.7, "word": " X", "probability": 0.9736328125}, {"start": 2642.7, "end": 2643.18, "word": " بيصير", "probability": 0.8515625}, {"start": 2643.18, "end": 2643.66, "word": " واحد", "probability": 0.977783203125}, {"start": 2643.66, "end": 2643.96, "word": " على", "probability": 0.74658203125}, {"start": 2643.96, "end": 2644.4, "word": " X", "probability": 0.98828125}, {"start": 2644.4, "end": 2644.88, "word": " أص", "probability": 0.974365234375}, {"start": 2644.88, "end": 2645.34, "word": " نص", "probability": 0.9697265625}, {"start": 2645.34, "end": 2646.08, "word": " لو", "probability": 0.9248046875}, {"start": 2646.08, "end": 2646.98, "word": " طلعناها", "probability": 0.979296875}, {"start": 2646.98, "end": 2647.4, "word": " فوق", "probability": 0.974609375}, {"start": 2647.4, "end": 2648.02, "word": " بيصير", "probability": 0.98046875}, {"start": 2648.02, "end": 2648.46, "word": " X", "probability": 0.9873046875}, {"start": 2648.46, "end": 2648.88, "word": " أص", "probability": 0.951171875}, {"start": 2648.88, "end": 2649.44, "word": " ناقص", "probability": 0.9781494140625}, {"start": 2649.44, "end": 2649.76, "word": " نص", "probability": 0.993896484375}, {"start": 2649.76, "end": 2650.0, "word": " في", "probability": 0.86474609375}, {"start": 2650.0, "end": 2650.36, "word": " مهم", "probability": 0.81396484375}], "temperature": 1.0}, {"id": 121, "seek": 267971, "start": 2651.01, "end": 2679.71, "text": "في الـ dx يبقى 2 جذر ال x لأن ال x ناقص 2 اضيف لل أس واحد بصير أس نص على نص زائد كنص تن سي او 2 جذر ال x لأن ال x ناقص 4 جذر ال x زائد كنص تن سي بيقول التكامل ل 3x تربيع", "tokens": [41185, 2423, 39184, 30017, 7251, 3555, 4587, 7578, 568, 10874, 8848, 2288, 2423, 2031, 5296, 33456, 2423, 2031, 8717, 995, 4587, 9381, 568, 1975, 11242, 33911, 24976, 5551, 3794, 36764, 24401, 4724, 9381, 13546, 5551, 3794, 8717, 9381, 15844, 8717, 9381, 30767, 16373, 3215, 9122, 1863, 9381, 6055, 1863, 8608, 1829, 1975, 2407, 568, 10874, 8848, 2288, 2423, 2031, 5296, 33456, 2423, 2031, 8717, 995, 4587, 9381, 1017, 10874, 8848, 2288, 2423, 2031, 30767, 16373, 3215, 9122, 1863, 9381, 6055, 1863, 8608, 1829, 4724, 1829, 39648, 16712, 4117, 10943, 1211, 5296, 805, 87, 6055, 2288, 21292, 3615], "avg_logprob": -0.2404336693639658, "compression_ratio": 1.8911564625850341, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2651.01, "end": 2651.25, "word": "في", "probability": 0.08343505859375}, {"start": 2651.25, "end": 2651.55, "word": " الـ", "probability": 0.547607421875}, {"start": 2651.55, "end": 2652.09, "word": " dx", "probability": 0.295654296875}, {"start": 2652.09, "end": 2653.15, "word": " يبقى", "probability": 0.9434814453125}, {"start": 2653.15, "end": 2653.63, "word": " 2", "probability": 0.6904296875}, {"start": 2653.63, "end": 2654.29, "word": " جذر", "probability": 0.748046875}, {"start": 2654.29, "end": 2654.57, "word": " ال", "probability": 0.873046875}, {"start": 2654.57, "end": 2655.05, "word": " x", "probability": 0.4482421875}, {"start": 2655.05, "end": 2655.63, "word": " لأن", "probability": 0.77197265625}, {"start": 2655.63, "end": 2655.87, "word": " ال", "probability": 0.91845703125}, {"start": 2655.87, "end": 2656.21, "word": " x", "probability": 0.8310546875}, {"start": 2656.21, "end": 2657.27, "word": " ناقص", "probability": 0.8314208984375}, {"start": 2657.27, "end": 2657.97, "word": " 2", "probability": 0.9423828125}, {"start": 2657.97, "end": 2658.71, "word": " اضيف", "probability": 0.6319173177083334}, {"start": 2658.71, "end": 2658.93, "word": " لل", "probability": 0.63232421875}, {"start": 2658.93, "end": 2659.19, "word": " أس", "probability": 0.615234375}, {"start": 2659.19, "end": 2659.71, "word": " واحد", "probability": 0.69091796875}, {"start": 2659.71, "end": 2660.19, "word": " بصير", "probability": 0.83544921875}, {"start": 2660.19, "end": 2660.53, "word": " أس", "probability": 0.931884765625}, {"start": 2660.53, "end": 2660.93, "word": " نص", "probability": 0.9765625}, {"start": 2660.93, "end": 2661.63, "word": " على", "probability": 0.80419921875}, {"start": 2661.63, "end": 2662.07, "word": " نص", "probability": 0.9931640625}, {"start": 2662.07, "end": 2662.61, "word": " زائد", "probability": 0.8787434895833334}, {"start": 2662.61, "end": 2663.03, "word": " كنص", "probability": 0.6775716145833334}, {"start": 2663.03, "end": 2663.39, "word": " تن", "probability": 0.60595703125}, {"start": 2663.39, "end": 2663.75, "word": " سي", "probability": 0.891357421875}, {"start": 2663.75, "end": 2664.45, "word": " او", "probability": 0.6837158203125}, {"start": 2664.45, "end": 2665.01, "word": " 2", "probability": 0.8173828125}, {"start": 2665.01, "end": 2665.65, "word": " جذر", "probability": 0.98779296875}, {"start": 2665.65, "end": 2665.89, "word": " ال", "probability": 0.958984375}, {"start": 2665.89, "end": 2666.29, "word": " x", "probability": 0.9638671875}, {"start": 2666.29, "end": 2666.75, "word": " لأن", "probability": 0.864013671875}, {"start": 2666.75, "end": 2666.97, "word": " ال", "probability": 0.97021484375}, {"start": 2666.97, "end": 2667.33, "word": " x", "probability": 0.97998046875}, {"start": 2667.33, "end": 2668.35, "word": " ناقص", "probability": 0.9927978515625}, {"start": 2668.35, "end": 2668.87, "word": " 4", "probability": 0.9423828125}, {"start": 2668.87, "end": 2669.47, "word": " جذر", "probability": 0.9954427083333334}, {"start": 2669.47, "end": 2669.69, "word": " ال", "probability": 0.97998046875}, {"start": 2669.69, "end": 2670.07, "word": " x", "probability": 0.9794921875}, {"start": 2670.07, "end": 2671.45, "word": " زائد", "probability": 0.9728190104166666}, {"start": 2671.45, "end": 2672.03, "word": " كنص", "probability": 0.9752604166666666}, {"start": 2672.03, "end": 2672.61, "word": " تن", "probability": 0.99072265625}, {"start": 2672.61, "end": 2673.31, "word": " سي", "probability": 0.9755859375}, {"start": 2673.31, "end": 2674.27, "word": " بيقول", "probability": 0.83251953125}, {"start": 2674.27, "end": 2675.41, "word": " التكامل", "probability": 0.8133544921875}, {"start": 2675.41, "end": 2677.33, "word": " ل", "probability": 0.98095703125}, {"start": 2677.33, "end": 2678.67, "word": " 3x", "probability": 0.50146484375}, {"start": 2678.67, "end": 2679.71, "word": " تربيع", "probability": 0.7774658203125}], "temperature": 1.0}, {"id": 122, "seek": 269922, "start": 2680.56, "end": 2699.22, "text": "Ten inverse X VX تفرض V و لا تفرض DV", "tokens": [51, 268, 17340, 1783, 691, 55, 6055, 5172, 43042, 691, 4032, 20193, 6055, 5172, 43042, 17021], "avg_logprob": -0.7109375, "compression_ratio": 0.9791666666666666, "no_speech_prob": 0.0, "words": [{"start": 2680.56, "end": 2681.5, "word": "Ten", "probability": 0.36505126953125}, {"start": 2681.5, "end": 2682.56, "word": " inverse", "probability": 0.82470703125}, {"start": 2682.56, "end": 2683.24, "word": " X", "probability": 0.40380859375}, {"start": 2683.24, "end": 2684.2, "word": " VX", "probability": 0.5372314453125}, {"start": 2684.2, "end": 2691.8, "word": " تفرض", "probability": 0.650146484375}, {"start": 2691.8, "end": 2697.66, "word": " V", "probability": 0.55859375}, {"start": 2697.66, "end": 2697.82, "word": " و", "probability": 0.2177734375}, {"start": 2697.82, "end": 2697.98, "word": " لا", "probability": 0.9658203125}, {"start": 2697.98, "end": 2698.44, "word": " تفرض", "probability": 0.7123209635416666}, {"start": 2698.44, "end": 2699.22, "word": " DV", "probability": 0.304443359375}], "temperature": 1.0}, {"id": 123, "seek": 272294, "start": 2720.82, "end": 2722.94, "text": "لأ مش صحيح هذا الخلاب", "tokens": [1211, 10721, 37893, 20328, 5016, 1829, 5016, 23758, 33962, 15040, 3555], "avg_logprob": -0.3538411532839139, "compression_ratio": 0.8085106382978723, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2720.8199999999997, "end": 2721.7, "word": "لأ", "probability": 0.5477294921875}, {"start": 2721.7, "end": 2721.82, "word": " مش", "probability": 0.39111328125}, {"start": 2721.82, "end": 2722.26, "word": " صحيح", "probability": 0.9927978515625}, {"start": 2722.26, "end": 2722.46, "word": " هذا", "probability": 0.90478515625}, {"start": 2722.46, "end": 2722.94, "word": " الخلاب", "probability": 0.655029296875}], "temperature": 1.0}, {"id": 124, "seek": 274224, "start": 2723.74, "end": 2742.24, "text": "كل القنصة اللي بنجمعه الاخر بيقول القنصة انتوا هتعودش تكالكة لأما لكالكة عينها، ماشي يا سيدي؟ طيب، نجي لسؤال من هذا القبيل، فباجي بقوله، حد فيكوا بيعرفي كامل تان inverse X؟ ولا واحد، ماعرفاش", "tokens": [28820, 25062, 1863, 9381, 3660, 13672, 1829, 44945, 7435, 2304, 3615, 3224, 2423, 47283, 2288, 4724, 1829, 39648, 25062, 1863, 9381, 3660, 16472, 2655, 14407, 8032, 2655, 3615, 23328, 8592, 6055, 4117, 6027, 4117, 3660, 5296, 10721, 15042, 5296, 4117, 6027, 4117, 3660, 6225, 9957, 11296, 12399, 3714, 33599, 1829, 35186, 8608, 1829, 16254, 22807, 23032, 1829, 3555, 12399, 8717, 7435, 1829, 5296, 3794, 33604, 6027, 9154, 23758, 25062, 21292, 1211, 12399, 6156, 3555, 26108, 1829, 4724, 39648, 3224, 12399, 11331, 3215, 8978, 4117, 14407, 4724, 40228, 28480, 1829, 9122, 10943, 1211, 6055, 7649, 17340, 1783, 22807, 49429, 36764, 24401, 12399, 19446, 3615, 28480, 33599], "avg_logprob": -0.2828714518614535, "compression_ratio": 1.7121212121212122, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2723.74, "end": 2724.18, "word": "كل", "probability": 0.396728515625}, {"start": 2724.18, "end": 2724.88, "word": " القنصة", "probability": 0.7965087890625}, {"start": 2724.88, "end": 2724.94, "word": " اللي", "probability": 0.77392578125}, {"start": 2724.94, "end": 2725.5, "word": " بنجمعه", "probability": 0.748095703125}, {"start": 2725.5, "end": 2725.82, "word": " الاخر", "probability": 0.68975830078125}, {"start": 2725.82, "end": 2726.1, "word": " بيقول", "probability": 0.7242838541666666}, {"start": 2726.1, "end": 2726.66, "word": " القنصة", "probability": 0.9810791015625}, {"start": 2726.66, "end": 2726.82, "word": " انتوا", "probability": 0.7941080729166666}, {"start": 2726.82, "end": 2727.46, "word": " هتعودش", "probability": 0.921484375}, {"start": 2727.46, "end": 2727.96, "word": " تكالكة", "probability": 0.70859375}, {"start": 2727.96, "end": 2728.2, "word": " لأما", "probability": 0.5596516927083334}, {"start": 2728.2, "end": 2728.76, "word": " لكالكة", "probability": 0.9259765625}, {"start": 2728.76, "end": 2729.2, "word": " عينها،", "probability": 0.68646240234375}, {"start": 2729.2, "end": 2729.5, "word": " ماشي", "probability": 0.8068033854166666}, {"start": 2729.5, "end": 2729.62, "word": " يا", "probability": 0.94384765625}, {"start": 2729.62, "end": 2730.46, "word": " سيدي؟", "probability": 0.854736328125}, {"start": 2730.46, "end": 2731.84, "word": " طيب،", "probability": 0.80999755859375}, {"start": 2731.84, "end": 2732.28, "word": " نجي", "probability": 0.8173828125}, {"start": 2732.28, "end": 2732.94, "word": " لسؤال", "probability": 0.9267578125}, {"start": 2732.94, "end": 2733.18, "word": " من", "probability": 0.99462890625}, {"start": 2733.18, "end": 2733.52, "word": " هذا", "probability": 0.947265625}, {"start": 2733.52, "end": 2734.76, "word": " القبيل،", "probability": 0.892333984375}, {"start": 2734.76, "end": 2735.5, "word": " فباجي", "probability": 0.77978515625}, {"start": 2735.5, "end": 2736.26, "word": " بقوله،", "probability": 0.68505859375}, {"start": 2736.26, "end": 2736.58, "word": " حد", "probability": 0.817138671875}, {"start": 2736.58, "end": 2737.06, "word": " فيكوا", "probability": 0.779296875}, {"start": 2737.06, "end": 2737.64, "word": " بيعرفي", "probability": 0.80181884765625}, {"start": 2737.64, "end": 2738.18, "word": " كامل", "probability": 0.9892578125}, {"start": 2738.18, "end": 2738.52, "word": " تان", "probability": 0.6536865234375}, {"start": 2738.52, "end": 2738.94, "word": " inverse", "probability": 0.9013671875}, {"start": 2738.94, "end": 2739.68, "word": " X؟", "probability": 0.69189453125}, {"start": 2739.68, "end": 2740.48, "word": " ولا", "probability": 0.91064453125}, {"start": 2740.48, "end": 2741.46, "word": " واحد،", "probability": 0.8561197916666666}, {"start": 2741.46, "end": 2742.24, "word": " ماعرفاش", "probability": 0.726715087890625}], "temperature": 1.0}, {"id": 125, "seek": 275846, "start": 2742.44, "end": 2758.46, "text": "لكن اشتقاقها سهل يبقى automatic بقوله خدلي ال U تساوي 10 inverse X يبقى ال DV هذا الكل بيعرفي كاملها كمان اللي هو مين؟ تلاتة X ثربية في ال DX", "tokens": [1211, 19452, 1975, 8592, 2655, 4587, 995, 4587, 11296, 8608, 3224, 1211, 7251, 3555, 4587, 7578, 12509, 4724, 39648, 3224, 16490, 3215, 20292, 2423, 624, 6055, 3794, 995, 45865, 1266, 17340, 1783, 7251, 3555, 4587, 7578, 2423, 17021, 23758, 2423, 28820, 4724, 40228, 28480, 1829, 9122, 10943, 1211, 11296, 9122, 2304, 7649, 13672, 1829, 31439, 3714, 9957, 22807, 6055, 1211, 9307, 3660, 1783, 38637, 25513, 10632, 8978, 2423, 48817], "avg_logprob": -0.2580357262066432, "compression_ratio": 1.3652694610778444, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2742.44, "end": 2742.8, "word": "لكن", "probability": 0.560546875}, {"start": 2742.8, "end": 2743.7, "word": " اشتقاقها", "probability": 0.9040876116071429}, {"start": 2743.7, "end": 2744.76, "word": " سهل", "probability": 0.9309895833333334}, {"start": 2744.76, "end": 2745.56, "word": " يبقى", "probability": 0.8875732421875}, {"start": 2745.56, "end": 2746.04, "word": " automatic", "probability": 0.5634765625}, {"start": 2746.04, "end": 2746.9, "word": " بقوله", "probability": 0.6814778645833334}, {"start": 2746.9, "end": 2747.76, "word": " خدلي", "probability": 0.619384765625}, {"start": 2747.76, "end": 2747.94, "word": " ال", "probability": 0.82275390625}, {"start": 2747.94, "end": 2748.34, "word": " U", "probability": 0.77587890625}, {"start": 2748.34, "end": 2749.38, "word": " تساوي", "probability": 0.893310546875}, {"start": 2749.38, "end": 2749.9, "word": " 10", "probability": 0.63916015625}, {"start": 2749.9, "end": 2750.62, "word": " inverse", "probability": 0.81396484375}, {"start": 2750.62, "end": 2750.92, "word": " X", "probability": 0.71533203125}, {"start": 2750.92, "end": 2751.84, "word": " يبقى", "probability": 0.9586181640625}, {"start": 2751.84, "end": 2751.9, "word": " ال", "probability": 0.87939453125}, {"start": 2751.9, "end": 2752.26, "word": " DV", "probability": 0.61328125}, {"start": 2752.26, "end": 2752.58, "word": " هذا", "probability": 0.318359375}, {"start": 2752.58, "end": 2752.96, "word": " الكل", "probability": 0.775146484375}, {"start": 2752.96, "end": 2753.44, "word": " بيعرفي", "probability": 0.7010498046875}, {"start": 2753.44, "end": 2754.0, "word": " كاملها", "probability": 0.903564453125}, {"start": 2754.0, "end": 2754.52, "word": " كمان", "probability": 0.9622395833333334}, {"start": 2754.52, "end": 2755.06, "word": " اللي", "probability": 0.912353515625}, {"start": 2755.06, "end": 2755.28, "word": " هو", "probability": 0.95068359375}, {"start": 2755.28, "end": 2755.78, "word": " مين؟", "probability": 0.6813151041666666}, {"start": 2755.78, "end": 2756.64, "word": " تلاتة", "probability": 0.86962890625}, {"start": 2756.64, "end": 2756.98, "word": " X", "probability": 0.93310546875}, {"start": 2756.98, "end": 2757.74, "word": " ثربية", "probability": 0.6171061197916666}, {"start": 2757.74, "end": 2757.98, "word": " في", "probability": 0.96533203125}, {"start": 2757.98, "end": 2758.1, "word": " ال", "probability": 0.65478515625}, {"start": 2758.1, "end": 2758.46, "word": " DX", "probability": 0.802734375}], "temperature": 1.0}, {"id": 126, "seek": 278779, "start": 2759.23, "end": 2787.79, "text": "يبقى DU يسوى واحد على واحد زائد X تربية في الـD X أخدنا اشتقاقها والـV تسوى قداش X تكايب على تلاتة مع التلاتة الله يسهل عليها يبقى هذا الكلام يسوى U في V يبقى X تكايب تان Inverse X معقز تكامل V اللي هيبقى X تكايب", "tokens": [1829, 3555, 4587, 7578, 28423, 7251, 3794, 2407, 7578, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 1783, 6055, 25513, 10632, 8978, 2423, 39184, 35, 1783, 5551, 9778, 3215, 8315, 1975, 8592, 2655, 4587, 995, 4587, 11296, 16070, 39184, 53, 6055, 3794, 2407, 7578, 12174, 3215, 33599, 1783, 6055, 4117, 47302, 3555, 15844, 6055, 1211, 9307, 3660, 20449, 16712, 1211, 9307, 3660, 21984, 7251, 3794, 3224, 1211, 25894, 11296, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 2407, 7578, 624, 8978, 691, 7251, 3555, 4587, 7578, 1783, 6055, 4117, 47302, 3555, 6055, 7649, 682, 4308, 1783, 20449, 4587, 11622, 6055, 4117, 10943, 1211, 691, 13672, 1829, 39896, 3555, 4587, 7578, 1783, 6055, 4117, 47302, 3555], "avg_logprob": -0.25569386931799226, "compression_ratio": 1.8697916666666667, "no_speech_prob": 0.0, "words": [{"start": 2759.23, "end": 2759.87, "word": "يبقى", "probability": 0.850341796875}, {"start": 2759.87, "end": 2760.81, "word": " DU", "probability": 0.308837890625}, {"start": 2760.81, "end": 2762.19, "word": " يسوى", "probability": 0.65081787109375}, {"start": 2762.19, "end": 2762.73, "word": " واحد", "probability": 0.859619140625}, {"start": 2762.73, "end": 2762.97, "word": " على", "probability": 0.482177734375}, {"start": 2762.97, "end": 2763.47, "word": " واحد", "probability": 0.978271484375}, {"start": 2763.47, "end": 2764.11, "word": " زائد", "probability": 0.87646484375}, {"start": 2764.11, "end": 2764.55, "word": " X", "probability": 0.8876953125}, {"start": 2764.55, "end": 2765.27, "word": " تربية", "probability": 0.791015625}, {"start": 2765.27, "end": 2765.49, "word": " في", "probability": 0.8515625}, {"start": 2765.49, "end": 2765.77, "word": " الـD", "probability": 0.6282552083333334}, {"start": 2765.77, "end": 2765.99, "word": " X", "probability": 0.1102294921875}, {"start": 2765.99, "end": 2766.45, "word": " أخدنا", "probability": 0.747802734375}, {"start": 2766.45, "end": 2767.29, "word": " اشتقاقها", "probability": 0.9019252232142857}, {"start": 2767.29, "end": 2768.67, "word": " والـV", "probability": 0.57861328125}, {"start": 2768.67, "end": 2769.35, "word": " تسوى", "probability": 0.9342041015625}, {"start": 2769.35, "end": 2770.13, "word": " قداش", "probability": 0.5357666015625}, {"start": 2770.13, "end": 2771.15, "word": " X", "probability": 0.88623046875}, {"start": 2771.15, "end": 2771.67, "word": " تكايب", "probability": 0.81561279296875}, {"start": 2771.67, "end": 2771.89, "word": " على", "probability": 0.8955078125}, {"start": 2771.89, "end": 2772.37, "word": " تلاتة", "probability": 0.8525390625}, {"start": 2772.37, "end": 2772.49, "word": " مع", "probability": 0.888671875}, {"start": 2772.49, "end": 2773.09, "word": " التلاتة", "probability": 0.84930419921875}, {"start": 2773.09, "end": 2773.27, "word": " الله", "probability": 0.82275390625}, {"start": 2773.27, "end": 2773.73, "word": " يسهل", "probability": 0.977294921875}, {"start": 2773.73, "end": 2774.25, "word": " عليها", "probability": 0.953857421875}, {"start": 2774.25, "end": 2776.05, "word": " يبقى", "probability": 0.8365478515625}, {"start": 2776.05, "end": 2776.33, "word": " هذا", "probability": 0.9609375}, {"start": 2776.33, "end": 2776.91, "word": " الكلام", "probability": 0.96435546875}, {"start": 2776.91, "end": 2777.89, "word": " يسوى", "probability": 0.66064453125}, {"start": 2777.89, "end": 2778.53, "word": " U", "probability": 0.90869140625}, {"start": 2778.53, "end": 2779.03, "word": " في", "probability": 0.90625}, {"start": 2779.03, "end": 2779.47, "word": " V", "probability": 0.98291015625}, {"start": 2779.47, "end": 2780.23, "word": " يبقى", "probability": 0.9765625}, {"start": 2780.23, "end": 2780.61, "word": " X", "probability": 0.99169921875}, {"start": 2780.61, "end": 2781.33, "word": " تكايب", "probability": 0.9583740234375}, {"start": 2781.33, "end": 2782.23, "word": " تان", "probability": 0.7071533203125}, {"start": 2782.23, "end": 2783.03, "word": " Inverse", "probability": 0.609619140625}, {"start": 2783.03, "end": 2783.53, "word": " X", "probability": 0.9443359375}, {"start": 2783.53, "end": 2784.33, "word": " معقز", "probability": 0.6490071614583334}, {"start": 2784.33, "end": 2785.19, "word": " تكامل", "probability": 0.9854736328125}, {"start": 2785.19, "end": 2786.11, "word": " V", "probability": 0.84521484375}, {"start": 2786.11, "end": 2786.35, "word": " اللي", "probability": 0.605712890625}, {"start": 2786.35, "end": 2786.71, "word": " هيبقى", "probability": 0.74609375}, {"start": 2786.71, "end": 2787.09, "word": " X", "probability": 0.97705078125}, {"start": 2787.09, "end": 2787.79, "word": " تكايب", "probability": 0.9720458984375}], "temperature": 1.0}, {"id": 127, "seek": 280517, "start": 2788.07, "end": 2805.17, "text": "دل يوم واحد زائد X تربيع في الـDX وظهر علنا تكامل جديد اللي هو من X تكييب على واحد زائد X تربيع بدنا نشوف كيف بدنا نعمل في هذا السؤال", "tokens": [3215, 1211, 7251, 20498, 36764, 24401, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3615, 8978, 2423, 39184, 35, 55, 4032, 19913, 3224, 2288, 11203, 8315, 6055, 4117, 10943, 1211, 10874, 16254, 3215, 13672, 1829, 31439, 9154, 1783, 6055, 4117, 1829, 1829, 3555, 15844, 36764, 24401, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3615, 47525, 8315, 8717, 8592, 38688, 9122, 33911, 47525, 8315, 8717, 25957, 1211, 8978, 23758, 21136, 33604, 6027], "avg_logprob": -0.2786091557690795, "compression_ratio": 1.681159420289855, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 2788.07, "end": 2788.61, "word": "دل", "probability": 0.167205810546875}, {"start": 2788.61, "end": 2788.89, "word": " يوم", "probability": 0.733642578125}, {"start": 2788.89, "end": 2789.45, "word": " واحد", "probability": 0.95703125}, {"start": 2789.45, "end": 2790.03, "word": " زائد", "probability": 0.7270100911458334}, {"start": 2790.03, "end": 2790.39, "word": " X", "probability": 0.65283203125}, {"start": 2790.39, "end": 2791.29, "word": " تربيع", "probability": 0.8343505859375}, {"start": 2791.29, "end": 2791.55, "word": " في", "probability": 0.84326171875}, {"start": 2791.55, "end": 2793.03, "word": " الـDX", "probability": 0.53460693359375}, {"start": 2793.03, "end": 2795.05, "word": " وظهر", "probability": 0.82757568359375}, {"start": 2795.05, "end": 2795.41, "word": " علنا", "probability": 0.53387451171875}, {"start": 2795.41, "end": 2796.11, "word": " تكامل", "probability": 0.8411865234375}, {"start": 2796.11, "end": 2796.85, "word": " جديد", "probability": 0.9928385416666666}, {"start": 2796.85, "end": 2797.07, "word": " اللي", "probability": 0.844482421875}, {"start": 2797.07, "end": 2797.31, "word": " هو", "probability": 0.80810546875}, {"start": 2797.31, "end": 2797.63, "word": " من", "probability": 0.182373046875}, {"start": 2797.63, "end": 2798.45, "word": " X", "probability": 0.9658203125}, {"start": 2798.45, "end": 2799.11, "word": " تكييب", "probability": 0.93486328125}, {"start": 2799.11, "end": 2799.33, "word": " على", "probability": 0.80615234375}, {"start": 2799.33, "end": 2799.89, "word": " واحد", "probability": 0.9423828125}, {"start": 2799.89, "end": 2800.55, "word": " زائد", "probability": 0.9772135416666666}, {"start": 2800.55, "end": 2800.97, "word": " X", "probability": 0.9912109375}, {"start": 2800.97, "end": 2801.57, "word": " تربيع", "probability": 0.9473876953125}, {"start": 2801.57, "end": 2802.29, "word": " بدنا", "probability": 0.6201171875}, {"start": 2802.29, "end": 2802.59, "word": " نشوف", "probability": 0.99462890625}, {"start": 2802.59, "end": 2802.89, "word": " كيف", "probability": 0.96923828125}, {"start": 2802.89, "end": 2803.17, "word": " بدنا", "probability": 0.914794921875}, {"start": 2803.17, "end": 2803.61, "word": " نعمل", "probability": 0.998046875}, {"start": 2803.61, "end": 2803.85, "word": " في", "probability": 0.94287109375}, {"start": 2803.85, "end": 2804.35, "word": " هذا", "probability": 0.87548828125}, {"start": 2804.35, "end": 2805.17, "word": " السؤال", "probability": 0.9973958333333334}], "temperature": 1.0}, {"id": 128, "seek": 283543, "start": 2812.21, "end": 2835.43, "text": "قسمة مطولة، درجة البسط أكبر من درجة المقام يبقى قليلة جبل هيك إذا درجة البسط جت درجة المقام أو درجة البسط أكبر من درجة المقام بإمكانك أن تقسم قسمة مطولة بدون أي مشاكل إذا بتروح أقسم X تكيب على X تربيع زائد", "tokens": [4587, 38251, 3660, 3714, 9566, 12610, 3660, 12399, 11778, 47341, 3660, 29739, 3794, 9566, 5551, 4117, 26890, 9154, 11778, 47341, 3660, 9673, 4587, 10943, 7251, 3555, 4587, 7578, 12174, 1211, 26895, 3660, 10874, 36150, 39896, 4117, 11933, 15730, 11778, 47341, 3660, 29739, 3794, 9566, 10874, 2655, 11778, 47341, 3660, 9673, 4587, 10943, 34051, 11778, 47341, 3660, 29739, 3794, 9566, 5551, 4117, 26890, 9154, 11778, 47341, 3660, 9673, 4587, 10943, 4724, 28814, 2304, 41361, 4117, 14739, 6055, 4587, 38251, 12174, 38251, 3660, 3714, 9566, 12610, 3660, 47525, 11536, 36632, 37893, 995, 28820, 11933, 15730, 39894, 32887, 5016, 5551, 4587, 38251, 1783, 6055, 4117, 1829, 3555, 15844, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215], "avg_logprob": -0.1909265344341596, "compression_ratio": 2.171597633136095, "no_speech_prob": 2.086162567138672e-06, "words": [{"start": 2812.21, "end": 2813.19, "word": "قسمة", "probability": 0.7918294270833334}, {"start": 2813.19, "end": 2814.11, "word": " مطولة،", "probability": 0.72939453125}, {"start": 2814.11, "end": 2814.71, "word": " درجة", "probability": 0.947265625}, {"start": 2814.71, "end": 2815.35, "word": " البسط", "probability": 0.7931315104166666}, {"start": 2815.35, "end": 2816.17, "word": " أكبر", "probability": 0.8649088541666666}, {"start": 2816.17, "end": 2816.39, "word": " من", "probability": 0.98779296875}, {"start": 2816.39, "end": 2816.81, "word": " درجة", "probability": 0.9876302083333334}, {"start": 2816.81, "end": 2817.41, "word": " المقام", "probability": 0.9905598958333334}, {"start": 2817.41, "end": 2818.09, "word": " يبقى", "probability": 0.6966552734375}, {"start": 2818.09, "end": 2818.59, "word": " قليلة", "probability": 0.51190185546875}, {"start": 2818.59, "end": 2818.89, "word": " جبل", "probability": 0.738525390625}, {"start": 2818.89, "end": 2819.17, "word": " هيك", "probability": 0.6129150390625}, {"start": 2819.17, "end": 2819.43, "word": " إذا", "probability": 0.7783203125}, {"start": 2819.43, "end": 2819.83, "word": " درجة", "probability": 0.9851888020833334}, {"start": 2819.83, "end": 2820.25, "word": " البسط", "probability": 0.9718424479166666}, {"start": 2820.25, "end": 2820.59, "word": " جت", "probability": 0.4798583984375}, {"start": 2820.59, "end": 2820.95, "word": " درجة", "probability": 0.99072265625}, {"start": 2820.95, "end": 2821.43, "word": " المقام", "probability": 0.9915364583333334}, {"start": 2821.43, "end": 2821.65, "word": " أو", "probability": 0.7373046875}, {"start": 2821.65, "end": 2821.99, "word": " درجة", "probability": 0.9563802083333334}, {"start": 2821.99, "end": 2822.39, "word": " البسط", "probability": 0.9876302083333334}, {"start": 2822.39, "end": 2822.83, "word": " أكبر", "probability": 0.9697265625}, {"start": 2822.83, "end": 2822.97, "word": " من", "probability": 0.97802734375}, {"start": 2822.97, "end": 2823.31, "word": " درجة", "probability": 0.9910481770833334}, {"start": 2823.31, "end": 2824.15, "word": " المقام", "probability": 0.9371744791666666}, {"start": 2824.15, "end": 2825.17, "word": " بإمكانك", "probability": 0.8619140625}, {"start": 2825.17, "end": 2825.33, "word": " أن", "probability": 0.8642578125}, {"start": 2825.33, "end": 2825.77, "word": " تقسم", "probability": 0.9700520833333334}, {"start": 2825.77, "end": 2826.45, "word": " قسمة", "probability": 0.98486328125}, {"start": 2826.45, "end": 2827.23, "word": " مطولة", "probability": 0.950927734375}, {"start": 2827.23, "end": 2827.89, "word": " بدون", "probability": 0.991455078125}, {"start": 2827.89, "end": 2828.31, "word": " أي", "probability": 0.87109375}, {"start": 2828.31, "end": 2829.09, "word": " مشاكل", "probability": 0.98876953125}, {"start": 2829.09, "end": 2829.59, "word": " إذا", "probability": 0.6171875}, {"start": 2829.59, "end": 2830.67, "word": " بتروح", "probability": 0.8282877604166666}, {"start": 2830.67, "end": 2831.29, "word": " أقسم", "probability": 0.79443359375}, {"start": 2831.29, "end": 2831.71, "word": " X", "probability": 0.77734375}, {"start": 2831.71, "end": 2832.51, "word": " تكيب", "probability": 0.886474609375}, {"start": 2832.51, "end": 2833.17, "word": " على", "probability": 0.7802734375}, {"start": 2833.17, "end": 2833.59, "word": " X", "probability": 0.99365234375}, {"start": 2833.59, "end": 2834.33, "word": " تربيع", "probability": 0.9072265625}, {"start": 2834.33, "end": 2835.43, "word": " زائد", "probability": 0.8899739583333334}], "temperature": 1.0}, {"id": 129, "seek": 285723, "start": 2835.47, "end": 2857.23, "text": "1 تمام؟ بقوله بسيطة X تكيب على X تربية فيها جداش X X تكيب زائد X زائد خليها ناقص وهذا ناقص بدل انه جداش ناقص X يبقى الباقي من الدرجة الأولى والمقسوم عليه من الدرجة الثانية", "tokens": [16, 46811, 10943, 22807, 4724, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 1783, 6055, 4117, 1829, 3555, 15844, 1783, 6055, 25513, 10632, 8978, 11296, 10874, 3215, 33599, 1783, 1783, 6055, 4117, 1829, 3555, 30767, 16373, 3215, 1783, 30767, 16373, 3215, 16490, 20292, 11296, 8717, 995, 4587, 9381, 37037, 15730, 8717, 995, 4587, 9381, 47525, 1211, 16472, 3224, 10874, 3215, 33599, 8717, 995, 4587, 9381, 1783, 7251, 3555, 4587, 7578, 29739, 995, 38436, 9154, 32748, 47341, 3660, 16247, 12610, 7578, 4032, 45340, 4587, 3794, 20498, 47356, 9154, 32748, 47341, 3660, 6024, 104, 7649, 10632], "avg_logprob": -0.21243351444284966, "compression_ratio": 1.8072289156626506, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2835.47, "end": 2836.09, "word": "1", "probability": 0.056182861328125}, {"start": 2836.09, "end": 2837.23, "word": " تمام؟", "probability": 0.5663248697916666}, {"start": 2837.23, "end": 2837.95, "word": " بقوله", "probability": 0.7830403645833334}, {"start": 2837.95, "end": 2838.63, "word": " بسيطة", "probability": 0.9607421875}, {"start": 2838.63, "end": 2839.09, "word": " X", "probability": 0.465576171875}, {"start": 2839.09, "end": 2839.65, "word": " تكيب", "probability": 0.68060302734375}, {"start": 2839.65, "end": 2839.85, "word": " على", "probability": 0.70947265625}, {"start": 2839.85, "end": 2840.13, "word": " X", "probability": 0.97412109375}, {"start": 2840.13, "end": 2840.59, "word": " تربية", "probability": 0.73974609375}, {"start": 2840.59, "end": 2841.11, "word": " فيها", "probability": 0.87353515625}, {"start": 2841.11, "end": 2841.69, "word": " جداش", "probability": 0.884765625}, {"start": 2841.69, "end": 2842.21, "word": " X", "probability": 0.9853515625}, {"start": 2842.21, "end": 2843.03, "word": " X", "probability": 0.76708984375}, {"start": 2843.03, "end": 2843.95, "word": " تكيب", "probability": 0.9752197265625}, {"start": 2843.95, "end": 2844.69, "word": " زائد", "probability": 0.80126953125}, {"start": 2844.69, "end": 2845.01, "word": " X", "probability": 0.96044921875}, {"start": 2845.01, "end": 2845.55, "word": " زائد", "probability": 0.8299153645833334}, {"start": 2845.55, "end": 2845.97, "word": " خليها", "probability": 0.8082682291666666}, {"start": 2845.97, "end": 2846.57, "word": " ناقص", "probability": 0.9853515625}, {"start": 2846.57, "end": 2847.35, "word": " وهذا", "probability": 0.5914306640625}, {"start": 2847.35, "end": 2847.79, "word": " ناقص", "probability": 0.9873046875}, {"start": 2847.79, "end": 2848.17, "word": " بدل", "probability": 0.674560546875}, {"start": 2848.17, "end": 2848.45, "word": " انه", "probability": 0.4228515625}, {"start": 2848.45, "end": 2849.09, "word": " جداش", "probability": 0.8780924479166666}, {"start": 2849.09, "end": 2850.19, "word": " ناقص", "probability": 0.9593505859375}, {"start": 2850.19, "end": 2850.49, "word": " X", "probability": 0.96630859375}, {"start": 2850.49, "end": 2851.19, "word": " يبقى", "probability": 0.8472900390625}, {"start": 2851.19, "end": 2851.85, "word": " الباقي", "probability": 0.9430338541666666}, {"start": 2851.85, "end": 2852.07, "word": " من", "probability": 0.9931640625}, {"start": 2852.07, "end": 2852.77, "word": " الدرجة", "probability": 0.9762369791666666}, {"start": 2852.77, "end": 2853.39, "word": " الأولى", "probability": 0.97998046875}, {"start": 2853.39, "end": 2854.47, "word": " والمقسوم", "probability": 0.81142578125}, {"start": 2854.47, "end": 2854.83, "word": " عليه", "probability": 0.95068359375}, {"start": 2854.83, "end": 2855.03, "word": " من", "probability": 0.9921875}, {"start": 2855.03, "end": 2856.07, "word": " الدرجة", "probability": 0.98876953125}, {"start": 2856.07, "end": 2857.23, "word": " الثانية", "probability": 0.9541015625}], "temperature": 1.0}, {"id": 130, "seek": 287653, "start": 2857.51, "end": 2876.53, "text": "يبقى يساوي x تكييب تان inverse x ناقص تكامل خارج القسمة اللي هو x الباقي ناقص x بدنا نجسمه لسه على واحد زائد x تربية كله بالنسبة إلى dx", "tokens": [1829, 3555, 4587, 7578, 7251, 3794, 995, 45865, 2031, 6055, 4117, 1829, 1829, 3555, 6055, 7649, 17340, 2031, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211, 16490, 9640, 7435, 25062, 38251, 3660, 13672, 1829, 31439, 2031, 29739, 995, 38436, 8717, 995, 4587, 9381, 2031, 47525, 8315, 8717, 7435, 38251, 3224, 5296, 3794, 3224, 15844, 36764, 24401, 30767, 16373, 3215, 2031, 6055, 25513, 10632, 28242, 3224, 20666, 1863, 35457, 3660, 30731, 30017], "avg_logprob": -0.1424696205390824, "compression_ratio": 1.4805194805194806, "no_speech_prob": 0.0, "words": [{"start": 2857.51, "end": 2858.19, "word": "يبقى", "probability": 0.8468017578125}, {"start": 2858.19, "end": 2858.91, "word": " يساوي", "probability": 0.8953857421875}, {"start": 2858.91, "end": 2859.35, "word": " x", "probability": 0.54931640625}, {"start": 2859.35, "end": 2860.19, "word": " تكييب", "probability": 0.9119140625}, {"start": 2860.19, "end": 2860.83, "word": " تان", "probability": 0.761474609375}, {"start": 2860.83, "end": 2861.49, "word": " inverse", "probability": 0.85498046875}, {"start": 2861.49, "end": 2862.11, "word": " x", "probability": 0.96337890625}, {"start": 2862.11, "end": 2863.03, "word": " ناقص", "probability": 0.912841796875}, {"start": 2863.03, "end": 2863.61, "word": " تكامل", "probability": 0.967529296875}, {"start": 2863.61, "end": 2864.29, "word": " خارج", "probability": 0.9708658854166666}, {"start": 2864.29, "end": 2865.57, "word": " القسمة", "probability": 0.9412434895833334}, {"start": 2865.57, "end": 2865.81, "word": " اللي", "probability": 0.75146484375}, {"start": 2865.81, "end": 2866.05, "word": " هو", "probability": 0.95947265625}, {"start": 2866.05, "end": 2866.49, "word": " x", "probability": 0.951171875}, {"start": 2866.49, "end": 2868.07, "word": " الباقي", "probability": 0.8984375}, {"start": 2868.07, "end": 2869.09, "word": " ناقص", "probability": 0.9876708984375}, {"start": 2869.09, "end": 2869.55, "word": " x", "probability": 0.97998046875}, {"start": 2869.55, "end": 2870.21, "word": " بدنا", "probability": 0.5966796875}, {"start": 2870.21, "end": 2870.81, "word": " نجسمه", "probability": 0.884521484375}, {"start": 2870.81, "end": 2871.21, "word": " لسه", "probability": 0.8956705729166666}, {"start": 2871.21, "end": 2871.45, "word": " على", "probability": 0.8662109375}, {"start": 2871.45, "end": 2872.05, "word": " واحد", "probability": 0.925048828125}, {"start": 2872.05, "end": 2872.77, "word": " زائد", "probability": 0.8860677083333334}, {"start": 2872.77, "end": 2873.15, "word": " x", "probability": 0.982421875}, {"start": 2873.15, "end": 2873.89, "word": " تربية", "probability": 0.83837890625}, {"start": 2873.89, "end": 2875.19, "word": " كله", "probability": 0.885498046875}, {"start": 2875.19, "end": 2875.87, "word": " بالنسبة", "probability": 0.980224609375}, {"start": 2875.87, "end": 2876.21, "word": " إلى", "probability": 0.33837890625}, {"start": 2876.21, "end": 2876.53, "word": " dx", "probability": 0.86181640625}], "temperature": 1.0}, {"id": 131, "seek": 289789, "start": 2877.45, "end": 2897.89, "text": "يبقى يساوي X تكييب تان inverse X ناقصها تكامل لل X DX زائد تكامل لل X واحد زائد X تربيه DX وزائد التكامل لكل منها", "tokens": [1829, 3555, 4587, 7578, 7251, 3794, 995, 45865, 1783, 6055, 4117, 1829, 1829, 3555, 6055, 7649, 17340, 1783, 8717, 995, 4587, 9381, 11296, 6055, 4117, 10943, 1211, 24976, 1783, 48817, 30767, 16373, 3215, 6055, 4117, 10943, 1211, 24976, 1783, 36764, 24401, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3224, 48817, 4032, 11622, 16373, 3215, 16712, 4117, 10943, 1211, 5296, 28820, 9154, 11296], "avg_logprob": -0.14149304893281725, "compression_ratio": 1.488, "no_speech_prob": 0.0, "words": [{"start": 2877.45, "end": 2878.05, "word": "يبقى", "probability": 0.90478515625}, {"start": 2878.05, "end": 2878.75, "word": " يساوي", "probability": 0.922607421875}, {"start": 2878.75, "end": 2879.19, "word": " X", "probability": 0.322021484375}, {"start": 2879.19, "end": 2880.03, "word": " تكييب", "probability": 0.94267578125}, {"start": 2880.03, "end": 2880.57, "word": " تان", "probability": 0.807861328125}, {"start": 2880.57, "end": 2881.27, "word": " inverse", "probability": 0.393310546875}, {"start": 2881.27, "end": 2881.91, "word": " X", "probability": 0.92919921875}, {"start": 2881.91, "end": 2884.07, "word": " ناقصها", "probability": 0.83837890625}, {"start": 2884.07, "end": 2885.49, "word": " تكامل", "probability": 0.98193359375}, {"start": 2885.49, "end": 2886.19, "word": " لل", "probability": 0.74658203125}, {"start": 2886.19, "end": 2886.75, "word": " X", "probability": 0.6708984375}, {"start": 2886.75, "end": 2887.57, "word": " DX", "probability": 0.85400390625}, {"start": 2887.57, "end": 2888.95, "word": " زائد", "probability": 0.8221028645833334}, {"start": 2888.95, "end": 2890.23, "word": " تكامل", "probability": 0.98095703125}, {"start": 2890.23, "end": 2890.87, "word": " لل", "probability": 0.8837890625}, {"start": 2890.87, "end": 2891.35, "word": " X", "probability": 0.9794921875}, {"start": 2891.35, "end": 2892.23, "word": " واحد", "probability": 0.957275390625}, {"start": 2892.23, "end": 2892.93, "word": " زائد", "probability": 0.9842122395833334}, {"start": 2892.93, "end": 2893.37, "word": " X", "probability": 0.99072265625}, {"start": 2893.37, "end": 2894.17, "word": " تربيه", "probability": 0.8350830078125}, {"start": 2894.17, "end": 2894.67, "word": " DX", "probability": 0.990234375}, {"start": 2894.67, "end": 2895.59, "word": " وزائد", "probability": 0.78912353515625}, {"start": 2895.59, "end": 2896.31, "word": " التكامل", "probability": 0.9027099609375}, {"start": 2896.31, "end": 2897.05, "word": " لكل", "probability": 0.966064453125}, {"start": 2897.05, "end": 2897.89, "word": " منها", "probability": 0.950927734375}], "temperature": 1.0}, {"id": 132, "seek": 290914, "start": 2898.24, "end": 2909.14, "text": "يبقى هذا x تكريم تان inverse x زي بهو هذه ايش ناقص x تربية على الاتنين طيب هذه ايه؟", "tokens": [1829, 3555, 4587, 7578, 23758, 2031, 6055, 4117, 16572, 2304, 6055, 7649, 17340, 2031, 30767, 1829, 39627, 2407, 29538, 1975, 1829, 8592, 8717, 995, 4587, 9381, 2031, 6055, 25513, 10632, 15844, 2423, 9307, 1863, 9957, 23032, 1829, 3555, 29538, 1975, 1829, 3224, 22807], "avg_logprob": -0.3279474357312376, "compression_ratio": 1.2660550458715596, "no_speech_prob": 0.0, "words": [{"start": 2898.24, "end": 2898.98, "word": "يبقى", "probability": 0.879638671875}, {"start": 2898.98, "end": 2899.26, "word": " هذا", "probability": 0.724609375}, {"start": 2899.26, "end": 2899.56, "word": " x", "probability": 0.41064453125}, {"start": 2899.56, "end": 2900.34, "word": " تكريم", "probability": 0.787353515625}, {"start": 2900.34, "end": 2901.12, "word": " تان", "probability": 0.5904541015625}, {"start": 2901.12, "end": 2901.8, "word": " inverse", "probability": 0.69482421875}, {"start": 2901.8, "end": 2902.32, "word": " x", "probability": 0.962890625}, {"start": 2902.32, "end": 2902.86, "word": " زي", "probability": 0.951171875}, {"start": 2902.86, "end": 2903.66, "word": " بهو", "probability": 0.4132080078125}, {"start": 2903.66, "end": 2904.08, "word": " هذه", "probability": 0.31591796875}, {"start": 2904.08, "end": 2904.64, "word": " ايش", "probability": 0.690673828125}, {"start": 2904.64, "end": 2905.9, "word": " ناقص", "probability": 0.8758544921875}, {"start": 2905.9, "end": 2906.32, "word": " x", "probability": 0.9306640625}, {"start": 2906.32, "end": 2906.98, "word": " تربية", "probability": 0.70849609375}, {"start": 2906.98, "end": 2907.34, "word": " على", "probability": 0.78271484375}, {"start": 2907.34, "end": 2907.88, "word": " الاتنين", "probability": 0.8892822265625}, {"start": 2907.88, "end": 2908.3, "word": " طيب", "probability": 0.91357421875}, {"start": 2908.3, "end": 2908.7, "word": " هذه", "probability": 0.5419921875}, {"start": 2908.7, "end": 2909.14, "word": " ايه؟", "probability": 0.8748779296875}], "temperature": 1.0}, {"id": 133, "seek": 293940, "start": 2911.54, "end": 2939.4, "text": "فاستفادوا للمقام باستثناء اتنين بسيطة نضرب في اتنين و بنقسم على اتنين يبقى كانوا ضربين في واحد صحيح لانه غير القيمة زائد نص لان absolute value للمقام لما كان المقام دائما و أبدا قيمة موجبة يبدو حطيت ال absolute و لا محطتاش ماعناه مشكلة", "tokens": [5172, 995, 14851, 5172, 18513, 14407, 5296, 19528, 4587, 10943, 4724, 995, 14851, 12984, 1863, 16606, 1975, 2655, 1863, 9957, 4724, 3794, 1829, 9566, 3660, 8717, 11242, 25513, 8978, 1975, 2655, 1863, 9957, 4032, 44945, 4587, 38251, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 25961, 14407, 48812, 25513, 9957, 8978, 36764, 24401, 20328, 5016, 1829, 5016, 5296, 7649, 3224, 32771, 13546, 25062, 32640, 3660, 30767, 16373, 3215, 8717, 9381, 5296, 7649, 8236, 2158, 5296, 19528, 4587, 10943, 5296, 15042, 25961, 9673, 4587, 10943, 11778, 16373, 15042, 4032, 5551, 3555, 28259, 12174, 32640, 3660, 3714, 29245, 49401, 7251, 44510, 2407, 11331, 9566, 36081, 2423, 8236, 4032, 20193, 3714, 5016, 9566, 2655, 33599, 19446, 3615, 8315, 3224, 37893, 28820, 3660], "avg_logprob": -0.2325671467899291, "compression_ratio": 1.7729257641921397, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2911.54, "end": 2912.68, "word": "فاستفادوا", "probability": 0.8948567708333334}, {"start": 2912.68, "end": 2913.34, "word": " للمقام", "probability": 0.84149169921875}, {"start": 2913.34, "end": 2914.02, "word": " باستثناء", "probability": 0.64886474609375}, {"start": 2914.02, "end": 2914.6, "word": " اتنين", "probability": 0.760955810546875}, {"start": 2914.6, "end": 2916.02, "word": " بسيطة", "probability": 0.91689453125}, {"start": 2916.02, "end": 2916.76, "word": " نضرب", "probability": 0.8177897135416666}, {"start": 2916.76, "end": 2916.98, "word": " في", "probability": 0.7099609375}, {"start": 2916.98, "end": 2917.72, "word": " اتنين", "probability": 0.9656982421875}, {"start": 2917.72, "end": 2918.16, "word": " و", "probability": 0.6708984375}, {"start": 2918.16, "end": 2918.8, "word": " بنقسم", "probability": 0.6503092447916666}, {"start": 2918.8, "end": 2919.12, "word": " على", "probability": 0.87255859375}, {"start": 2919.12, "end": 2919.88, "word": " اتنين", "probability": 0.9776611328125}, {"start": 2919.88, "end": 2920.38, "word": " يبقى", "probability": 0.6845703125}, {"start": 2920.38, "end": 2920.76, "word": " كانوا", "probability": 0.56280517578125}, {"start": 2920.76, "end": 2921.08, "word": " ضربين", "probability": 0.8154296875}, {"start": 2921.08, "end": 2921.22, "word": " في", "probability": 0.89111328125}, {"start": 2921.22, "end": 2921.7, "word": " واحد", "probability": 0.992919921875}, {"start": 2921.7, "end": 2922.7, "word": " صحيح", "probability": 0.9752197265625}, {"start": 2922.7, "end": 2923.26, "word": " لانه", "probability": 0.55615234375}, {"start": 2923.26, "end": 2923.64, "word": " غير", "probability": 0.925048828125}, {"start": 2923.64, "end": 2924.6, "word": " القيمة", "probability": 0.9392903645833334}, {"start": 2924.6, "end": 2925.52, "word": " زائد", "probability": 0.8377278645833334}, {"start": 2925.52, "end": 2926.02, "word": " نص", "probability": 0.986328125}, {"start": 2926.02, "end": 2927.36, "word": " لان", "probability": 0.705810546875}, {"start": 2927.36, "end": 2928.34, "word": " absolute", "probability": 0.4892578125}, {"start": 2928.34, "end": 2928.98, "word": " value", "probability": 0.99365234375}, {"start": 2928.98, "end": 2929.7, "word": " للمقام", "probability": 0.9449462890625}, {"start": 2929.7, "end": 2930.16, "word": " لما", "probability": 0.875244140625}, {"start": 2930.16, "end": 2930.58, "word": " كان", "probability": 0.98779296875}, {"start": 2930.58, "end": 2931.2, "word": " المقام", "probability": 0.9884440104166666}, {"start": 2931.2, "end": 2931.7, "word": " دائما", "probability": 0.9453125}, {"start": 2931.7, "end": 2931.88, "word": " و", "probability": 0.7509765625}, {"start": 2931.88, "end": 2932.24, "word": " أبدا", "probability": 0.6885579427083334}, {"start": 2932.24, "end": 2932.9, "word": " قيمة", "probability": 0.9560546875}, {"start": 2932.9, "end": 2933.6, "word": " موجبة", "probability": 0.95263671875}, {"start": 2933.6, "end": 2934.3, "word": " يبدو", "probability": 0.6724446614583334}, {"start": 2934.3, "end": 2934.94, "word": " حطيت", "probability": 0.9064127604166666}, {"start": 2934.94, "end": 2935.12, "word": " ال", "probability": 0.962890625}, {"start": 2935.12, "end": 2935.72, "word": " absolute", "probability": 0.9560546875}, {"start": 2935.72, "end": 2936.04, "word": " و", "probability": 0.486572265625}, {"start": 2936.04, "end": 2936.2, "word": " لا", "probability": 0.85888671875}, {"start": 2936.2, "end": 2937.28, "word": " محطتاش", "probability": 0.7681640625}, {"start": 2937.28, "end": 2938.84, "word": " ماعناه", "probability": 0.75048828125}, {"start": 2938.84, "end": 2939.4, "word": " مشكلة", "probability": 0.9723307291666666}], "temperature": 1.0}, {"id": 134, "seek": 296830, "start": 2939.76, "end": 2968.3, "text": "يعني بعد ما عملنا integration by parts ظهر لنا تكامل جديد لك تحاول تتخلص من هذا التكامل الجديد بأي طريقة من طرف التكامل اللي اتعودناها قبل ذلك لحد هنا stop ونازلنا في نفس ال section ونحتاج إلى أكتر من نصف ساعة لإكمال هذا ال section ان شاء الله تعالى في المرة القادمة يوم غدا", "tokens": [40228, 22653, 39182, 19446, 6225, 42213, 8315, 10980, 538, 3166, 1357, 116, 3224, 2288, 5296, 8315, 6055, 4117, 10943, 1211, 10874, 16254, 3215, 5296, 4117, 6055, 5016, 995, 12610, 6055, 2655, 9778, 1211, 9381, 9154, 23758, 16712, 4117, 10943, 1211, 25724, 16254, 3215, 4724, 10721, 1829, 23032, 16572, 28671, 9154, 23032, 28480, 16712, 4117, 10943, 1211, 13672, 1829, 1975, 2655, 3615, 23328, 8315, 11296, 12174, 36150, 29910, 23275, 5296, 24401, 34105, 1590, 4032, 1863, 31377, 1211, 8315, 8978, 8717, 36178, 2423, 3541, 4032, 1863, 33753, 26108, 30731, 5551, 4117, 2655, 2288, 9154, 8717, 9381, 5172, 8608, 995, 27884, 5296, 28814, 24793, 6027, 23758, 2423, 3541, 16472, 13412, 16606, 21984, 37279, 6027, 7578, 8978, 9673, 25720, 25062, 18513, 46007, 7251, 20498, 32771, 28259], "avg_logprob": -0.15040650212667822, "compression_ratio": 1.751908396946565, "no_speech_prob": 2.4437904357910156e-06, "words": [{"start": 2939.76, "end": 2940.02, "word": "يعني", "probability": 0.54443359375}, {"start": 2940.02, "end": 2940.3, "word": " بعد", "probability": 0.84326171875}, {"start": 2940.3, "end": 2940.6, "word": " ما", "probability": 0.89208984375}, {"start": 2940.6, "end": 2940.96, "word": " عملنا", "probability": 0.9612630208333334}, {"start": 2940.96, "end": 2941.4, "word": " integration", "probability": 0.896484375}, {"start": 2941.4, "end": 2942.14, "word": " by", "probability": 0.802734375}, {"start": 2942.14, "end": 2942.7, "word": " parts", "probability": 0.91064453125}, {"start": 2942.7, "end": 2943.48, "word": " ظهر", "probability": 0.81634521484375}, {"start": 2943.48, "end": 2943.72, "word": " لنا", "probability": 0.779541015625}, {"start": 2943.72, "end": 2944.36, "word": " تكامل", "probability": 0.9334716796875}, {"start": 2944.36, "end": 2944.92, "word": " جديد", "probability": 0.9905598958333334}, {"start": 2944.92, "end": 2945.4, "word": " لك", "probability": 0.6632080078125}, {"start": 2945.4, "end": 2945.82, "word": " تحاول", "probability": 0.85430908203125}, {"start": 2945.82, "end": 2946.46, "word": " تتخلص", "probability": 0.8990234375}, {"start": 2946.46, "end": 2946.66, "word": " من", "probability": 0.9921875}, {"start": 2946.66, "end": 2947.08, "word": " هذا", "probability": 0.9501953125}, {"start": 2947.08, "end": 2947.9, "word": " التكامل", "probability": 0.984130859375}, {"start": 2947.9, "end": 2948.44, "word": " الجديد", "probability": 0.96337890625}, {"start": 2948.44, "end": 2949.1, "word": " بأي", "probability": 0.94091796875}, {"start": 2949.1, "end": 2949.64, "word": " طريقة", "probability": 0.9651692708333334}, {"start": 2949.64, "end": 2949.84, "word": " من", "probability": 0.9541015625}, {"start": 2949.84, "end": 2950.08, "word": " طرف", "probability": 0.499755859375}, {"start": 2950.08, "end": 2950.62, "word": " التكامل", "probability": 0.9217529296875}, {"start": 2950.62, "end": 2950.74, "word": " اللي", "probability": 0.769287109375}, {"start": 2950.74, "end": 2951.7, "word": " اتعودناها", "probability": 0.9112955729166666}, {"start": 2951.7, "end": 2952.34, "word": " قبل", "probability": 0.992431640625}, {"start": 2952.34, "end": 2952.94, "word": " ذلك", "probability": 0.9931640625}, {"start": 2952.94, "end": 2953.84, "word": " لحد", "probability": 0.861083984375}, {"start": 2953.84, "end": 2954.1, "word": " هنا", "probability": 0.986328125}, {"start": 2954.1, "end": 2954.58, "word": " stop", "probability": 0.642578125}, {"start": 2954.58, "end": 2955.76, "word": " ونازلنا", "probability": 0.78173828125}, {"start": 2955.76, "end": 2955.98, "word": " في", "probability": 0.95849609375}, {"start": 2955.98, "end": 2956.28, "word": " نفس", "probability": 0.998046875}, {"start": 2956.28, "end": 2956.5, "word": " ال", "probability": 0.92236328125}, {"start": 2956.5, "end": 2956.94, "word": " section", "probability": 0.88818359375}, {"start": 2956.94, "end": 2958.22, "word": " ونحتاج", "probability": 0.98046875}, {"start": 2958.22, "end": 2958.48, "word": " إلى", "probability": 0.69580078125}, {"start": 2958.48, "end": 2958.92, "word": " أكتر", "probability": 0.8082275390625}, {"start": 2958.92, "end": 2959.16, "word": " من", "probability": 0.99609375}, {"start": 2959.16, "end": 2959.8, "word": " نصف", "probability": 0.8673502604166666}, {"start": 2959.8, "end": 2960.54, "word": " ساعة", "probability": 0.9822591145833334}, {"start": 2960.54, "end": 2961.82, "word": " لإكمال", "probability": 0.955322265625}, {"start": 2961.82, "end": 2962.22, "word": " هذا", "probability": 0.91015625}, {"start": 2962.22, "end": 2962.4, "word": " ال", "probability": 0.7373046875}, {"start": 2962.4, "end": 2962.94, "word": " section", "probability": 0.748046875}, {"start": 2962.94, "end": 2963.76, "word": " ان", "probability": 0.66943359375}, {"start": 2963.76, "end": 2964.1, "word": " شاء", "probability": 0.96728515625}, {"start": 2964.1, "end": 2964.3, "word": " الله", "probability": 0.9443359375}, {"start": 2964.3, "end": 2965.34, "word": " تعالى", "probability": 0.9069010416666666}, {"start": 2965.34, "end": 2965.6, "word": " في", "probability": 0.87646484375}, {"start": 2965.6, "end": 2966.24, "word": " المرة", "probability": 0.98876953125}, {"start": 2966.24, "end": 2967.2, "word": " القادمة", "probability": 0.9912109375}, {"start": 2967.2, "end": 2967.72, "word": " يوم", "probability": 0.817626953125}, {"start": 2967.72, "end": 2968.3, "word": " غدا", "probability": 0.748291015625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2969.6465, "duration_after_vad": 2899.295968749991}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/75vivrfxX54.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/75vivrfxX54.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5ba90fcd0a39dd584838eb69b4687c0bd8e03f93
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/75vivrfxX54.srt
@@ -0,0 +1,1927 @@
+1
+00:00:11,740 --> 00:00:18,490
+بسم الله الرحمن الرحيم، المرة الماضية كنا نتحدث في
+
+2
+00:00:18,490 --> 00:00:23,670
+نقطة النظرية رقم اثنين تبع هذه الـ section وهي الـ
+
+3
+00:00:23,670 --> 00:00:28,050
+identities of inverse trigonometric functions يعني 
+
+4
+00:00:28,050 --> 00:00:33,970
+بعض المتطابقات المهمة على معكوس الدوال المثلثية
+
+5
+00:00:34,190 --> 00:00:38,610
+واخدنا المرة الماضية مثالا واحدا اللي هو رسمة الـ
+
+6
+00:00:38,610 --> 00:00:43,130
+two functions الأولى كانت الـ cosine inverse لسالب 
+
+7
+00:00:43,130 --> 00:00:48,490
+X والثانية كانت 2 tan inverse لمين؟ لسالب X 
+
+8
+00:00:48,490 --> 00:00:53,910
+وشوفنا كيف رسمناهم، ننتقل لمثال رقم اثنين وهو هاتلي 
+
+9
+00:00:53,910 --> 00:01:00,250
+القيمة الحقيقية لكل مما يأتي، بنقدرش القيمة العددية
+
+10
+00:01:00,250 --> 00:01:04,730
+للمقدار يعني لابد أشوف في المثل كوتان ولا سين انفرس
+
+11
+00:01:04,730 --> 00:01:08,130
+ولا سيك انفرس، بدي أشوف هذا كله وإنما بدي قيمة
+
+12
+00:01:08,130 --> 00:01:16,530
+محددة بسيطة جدا، يبقى هذه كوتان، المرة الماضية 
+
+13
+00:01:16,530 --> 00:01:21,290
+المتطابقة على الرقم 2 قلنا أن sin inverse x هي 
+
+14
+00:01:21,290 --> 00:01:26,950
+عبارة عن odd function يبقى السالب يخرج من الـ
+
+15
+00:01:26,950 --> 00:01:32,730
+function يبقى هذا بقدر أقول سالب sin inverse لنصف
+
+16
+00:01:35,730 --> 00:01:41,390
+الطالب، المتطابقة رقم ثلاثة، رقم ثلاثة، لثلاث نقاط
+
+17
+00:01:41,390 --> 00:01:46,350
+النقطة الأولى في رقم ثلاثة كانت sec inverse x
+
+18
+00:01:46,350 --> 00:01:51,990
+تساوي cosine inverse واحد على x وبشرط أن الـ x 
+
+19
+00:01:51,990 --> 00:01:57,180
+greater than one، أكبر من الواحد الصحيح أو تساوي، إذا
+
+20
+00:01:57,180 --> 00:02:01,760
+عندي اثنين أكبر من الواحد الصحيح، إذا بقدر أشيل هذه
+
+21
+00:02:01,760 --> 00:02:05,980
+وأكتب cosine inverse واحد على اثنين، يعني cosine
+
+22
+00:02:05,980 --> 00:02:11,840
+inverse نصف، يبقى هذه cosine inverse لنصف بالشكل اللي
+
+23
+00:02:11,840 --> 00:02:18,170
+عندنا هذا، هذا الكلام بده يساوي كوتان، بدنا نأخذ سالب
+
+24
+00:02:18,170 --> 00:02:22,990
+عام المشترك بيطلع عندنا مين اللي هو sin inverse نصف
+
+25
+00:02:22,990 --> 00:02:28,030
+زائد cosine inverse نصف بالشكل اللي عندنا هذا
+
+26
+00:02:28,030 --> 00:02:34,530
+ويساوي كوتان لسالب أبصر قد إيش طلع لي المقدار هذا بين
+
+27
+00:02:34,530 --> 00:02:39,830
+القوسين، هل النص في domain الـsin inverse وفي domain
+
+28
+00:02:39,830 --> 00:02:43,790
+الـcos inverse؟ صحيح لأن الـ domain تبعهم من سالب 
+
+29
+00:02:43,790 --> 00:02:48,310
+واحد إلى واحد، إذا فعلا طبقا للمتطابقة الأولى، هذا 
+
+30
+00:02:48,310 --> 00:02:53,210
+الكلام بيساوي قد إيش؟ باي على اثنين، يبقى سالب باي
+
+31
+00:02:53,210 --> 00:02:59,930
+على اثنين ويساوي، بنرجع لك القول إيه؟ الـ cotan even
+
+32
+00:02:59,930 --> 00:03:06,400
+ولا الـ cot؟ أد ممتاز جدا، الدوال المثلثية الستة
+
+33
+00:03:06,400 --> 00:03:11,880
+تين كانوا even اللي هي cosine الـ X هو مقلبها اللي
+
+34
+00:03:11,880 --> 00:03:17,600
+هو sec X وباقي الأربع نسب odd تمام، يبقى هذه odd
+
+35
+00:03:17,600 --> 00:03:23,300
+إذا السالب برا سالب كوتان باي على اثنين، كوتان باي 
+
+36
+00:03:23,300 --> 00:03:27,980
+على اثنين طبعا مقدرش بـ zero إذا المقدار كله هذا
+
+37
+00:03:27,980 --> 00:03:32,830
+اللي عندنا بده يساوي مين؟ بده يساوي Zero، نأخذ
+
+38
+00:03:32,830 --> 00:03:39,290
+النقطة الثانية نمرا ب، يبقى نمرا ب بدنا نوجد قيمة
+
+39
+00:03:39,290 --> 00:03:46,410
+سك لمين؟ لـ tan inverse سالب ثلاثة
+
+40
+00:03:51,740 --> 00:03:54,900
+طب كويس، لأن أنا لا أعرف قد إيش القيمة العددية لهذا
+
+41
+00:03:54,900 --> 00:03:59,060
+المقدار، يعني لابد أشوف سك ولا تان انفرس في المثل
+
+42
+00:03:59,060 --> 00:04:05,380
+بيقولوا بسيطة جدا هذا الكلام بده يساوي سك الان تان
+
+43
+00:04:05,380 --> 00:04:09,880
+انفرس من النقطة الثانية للمرة اللي فاتت قلنا يبقى
+
+44
+00:04:09,880 --> 00:04:14,620
+مادام قد السالب معها يطلع برا تان انفرس يبقى هاي
+
+45
+00:04:14,620 --> 00:04:21,210
+سالب تان انفرس ليه؟ لثلاثة، الآن الـ Sec even ولا الـ
+
+46
+00:04:21,210 --> 00:04:24,950
+Odd؟ سيك،
+
+47
+00:04:24,950 --> 00:04:28,930
+وايش الكلام اللي قلناه قبل قليل؟ مش قلنا الـ Cos
+
+48
+00:04:28,930 --> 00:04:33,950
+وSec even والأربعة Odd؟ وين كنت في الفترة هذه؟
+
+49
+00:04:33,950 --> 00:04:40,230
+يبقى صح، صحيح كويس، يبقى هذا بيتساوي قد إيش Sec لـ tan
+
+50
+00:04:40,230 --> 00:04:45,910
+inverse ثلاثة، ليش؟ لأن سيك هي عبارة عن Odd
+
+51
+00:04:45,910 --> 00:04:46,710
+function
+
+52
+00:04:49,220 --> 00:04:54,220
+طيب الآن التكتيك اللي اتبعناه المرة الماضية بأنه
+
+53
+00:04:54,220 --> 00:04:59,780
+يتبع عند حسب هذه القيمة، بدي أقوله افترض أن θ تساوي
+
+54
+00:04:59,780 --> 00:05:05,400
+tan inverse ثلاثة، الثلاثة طبعا في دومين مين؟ tan
+
+55
+00:05:05,400 --> 00:05:08,360
+inverse والـ tan inverse الدومين تبعها كل الـ real
+
+56
+00:05:08,360 --> 00:05:15,520
+line، إذا في عندي عبارة مكافئة لهذه العبارة وهي tan
+
+57
+00:05:15,520 --> 00:05:23,980
+θ يساوي كده؟ يساوي 3، يبقى الظل يساوي 3، ممتاز، لأن
+
+58
+00:05:23,980 --> 00:05:27,520
+لو رجعنا بالذاكرة إلى الوراء وروحنا وقلنا هي
+
+59
+00:05:27,520 --> 00:05:33,080
+عندي محاور، هذا محور X وهذا محور Y وهذا نقطة من
+
+60
+00:05:33,080 --> 00:05:34,820
+الأصل
+
+61
+00:05:36,180 --> 00:05:42,060
+لما جينا المعكوس الـ tan خلينا الـ domain تبع الـ tan
+
+62
+00:05:42,060 --> 00:05:46,780
+حصرناه من إيه إلى أين؟ من سالب باي على اثنين إلى
+
+63
+00:05:46,780 --> 00:05:52,920
+باي على اثنين، ممتاز as an open interval، إذا لو جيت
+
+64
+00:05:52,920 --> 00:05:59,040
+على المحاور وقلت هذه ناقص باي على اثنين، هذا لو مشيت
+
+65
+00:05:59,040 --> 00:06:03,800
+مع عقارب الساعة، لو مشيت ضد عقارب الساعة بتكون
+
+66
+00:06:03,800 --> 00:06:08,980
+هذه قد إيش؟ باي على اثنين، إذا احنا بنمشي من سالب باي
+
+67
+00:06:08,980 --> 00:06:14,060
+على اثنين إلى باي على اثنين، يعني أخذنا أي ربعين من
+
+68
+00:06:14,060 --> 00:06:19,300
+الأربعة؟ الربعين الأول والرابع، ممتازة، لأن لو جيت لي
+
+69
+00:06:19,300 --> 00:06:25,230
+التان، التان هذا في الرابع، الرابع يسوي قيمة سالب أو
+
+70
+00:06:25,230 --> 00:06:29,170
+في الربع الأول، احنا عندنا tan θ، القيمة
+
+71
+00:06:29,170 --> 00:06:34,190
+موجبة، إذا الزاوية θ في الربع الأول، يبقى لو جينا
+
+72
+00:06:34,190 --> 00:06:38,810
+قلنا هذه ها هي الزاوية θ، هذه الزاوية قائمة
+
+73
+00:06:38,810 --> 00:06:45,140
+وهذه الزاوية θ، الظل يساوي المقابل على المجاور
+
+74
+00:06:45,140 --> 00:06:51,020
+يبقى المقابل ثلاثة والمجاور واحد، يبقى هذا بد يكون
+
+75
+00:06:51,020 --> 00:06:58,980
+جذر عشرة حسب فيثاغورس، إذا صارت المسألة أن هنا سك
+
+76
+00:06:58,980 --> 00:07:06,460
+لمين؟ لـ tan inverse ثلاثة، بده يساوي sec θ، لو جينا هنا
+
+77
+00:07:06,460 --> 00:07:11,200
+الـ sec اللي هو الوتر على المجاور، يبقى الوتر
+
+78
+00:07:11,200 --> 00:07:16,880
+جذر عشرة على المجاور اللي هو واحد، يبقى جذر عشرة
+
+79
+00:07:16,880 --> 00:07:24,240
+القيمة الحقيقية للمقدار اللي عندنا، طيب نعطي مثال
+
+80
+00:07:24,240 --> 00:07:29,240
+نربط فيه الجديد بالقديم، يعني نربط section 7.3
+
+81
+00:07:29,240 --> 00:07:36,290
+بـ section سبعة ستة، نمر الـ C، بدنا .. بدنا قيمة
+
+82
+00:07:36,290 --> 00:07:43,650
+لا ثنين مرفوعة للأس logarithm باي square للأساس
+
+83
+00:07:43,650 --> 00:07:52,070
+أربعة ناقص cosine inverse لمين؟ لسالب واحد على جذر
+
+84
+00:07:52,070 --> 00:07:59,200
+اثنين، بتعرف قد إيش قيمة المقدار هذا أو أبسط المقدار
+
+85
+00:07:59,200 --> 00:08:04,960
+هذا إلى أبسط صورة، يبقى أنا الكلام يساوي بقول يا
+
+86
+00:08:04,960 --> 00:08:08,940
+سلام، لو كانت هذه أربعة وهذه أربعة كانت خلاصة من
+
+87
+00:08:08,940 --> 00:08:13,800
+إيه؟ من الـ log وبظلمة داخل الـ log، لكن بسيطة
+
+88
+00:08:13,800 --> 00:08:19,240
+الشغلة في دك هذا log باي تربيع للأساس أربعة، يبقى
+
+89
+00:08:19,240 --> 00:08:24,030
+التربيع هذا أو اثنين بقدر أكتبه مين؟ خارج الـ log
+
+90
+00:08:24,030 --> 00:08:29,510
+يبقى لو كتبناه خارج الـ log بصير اثنين مرفوعة للأس
+
+91
+00:08:29,510 --> 00:08:36,130
+اثنين مضروب في logarithm باي للأساس مين؟ للأساس
+
+92
+00:08:36,130 --> 00:08:41,270
+أربعة، هذا الـ term الأول وجينا هنا ناقص وهيفتحنا
+
+93
+00:08:41,270 --> 00:08:46,990
+قوس، المرة اللي فاتت أخذنا آخر نقطة اللي هي النقطة
+
+94
+00:08:46,990 --> 00:08:53,150
+الرابعة كانت cosine inverse لسالب x يساوي قد إيش؟ بي
+
+95
+00:08:53,150 --> 00:08:59,810
+ناقص cosine inverse x بشرط الـ x من سالب 1 إلى 1، واحد
+
+96
+00:08:59,810 --> 00:09:05,410
+على جذر اثنين، ما لو أقل من الواحد الصحيح بإشارة
+
+97
+00:09:05,410 --> 00:09:09,530
+سالب يكون أكبر من سالب واحد صحيح، يعني في domain
+
+98
+00:09:09,530 --> 00:09:14,190
+الـ main الـ cosine inverse وهيو بالسالب، إذا بدنا نوجد الـ
+
+99
+00:09:14,190 --> 00:09:21,290
+الـ هي by ناقص cosine inverse واحد على جذر اثنين
+
+100
+00:09:21,290 --> 00:09:26,390
+بالشكل اللي هنا هذا، طيب هذا الكلام بده يساوي اثنين
+
+101
+00:09:26,390 --> 00:09:32,590
+تربيع تاني قد إيش؟ أربعة، يبقى هذا أربعة مرفوعة للأس
+
+102
+00:09:32,590 --> 00:09:41,770
+logarithm باي للأساس أربعة، للأساس أربعة ناقص باي
+
+103
+00:09:41,770 --> 00:09:48,900
+زائد هذه، ناقص ناقص اتزادت، Cos inverse واحد على جذر
+
+104
+00:09:48,900 --> 00:09:53,080
+اثنين، طبعا إذا أعطيتك مثال زاده اللي هو كان Cos
+
+105
+00:09:53,080 --> 00:09:57,480
+أول مثال أخذته في هذا الـ section كان Cos inverse
+
+106
+00:09:57,480 --> 00:10:01,840
+نصف، قلنا خذ θ بـ Cos inverse نصف، اثر على الطرف
+
+107
+00:10:01,840 --> 00:10:05,560
+المجوسي صار Cos θ يساوي نصف، يبقى الزاوية θ هي
+
+108
+00:10:05,560 --> 00:10:09,800
+بقايا ثلاثة، يبقى مين الزاوية اللي جيب تمامها واحد
+
+109
+00:10:09,800 --> 00:10:14,010
+على جذر اثنين؟ خمسة وأربعين، يبقى باي على أربعة، إذا
+
+110
+00:10:14,010 --> 00:10:19,590
+هذا المقدار كله بقدر أقول باي على أربعة ويساوي
+
+111
+00:10:19,590 --> 00:10:24,410
+هنا الأساس أربعة وهنا الأساس أربعة، يبقى هذا
+
+112
+00:10:24,410 --> 00:10:29,950
+المقدار كله يساوي قد إيش؟ باي، يبقى هاي باي وهاي ناقص
+
+113
+00:10:29,950 --> 00:10:34,750
+باي وهاي زائد باي على أربعة، يبقى الجواب كله قد إيش؟
+
+114
+00:10:35,220 --> 00:10:40,260
+يبقى كل المقدار هذا الإجابة تبعت وهي عبارة عن باي
+
+115
+00:10:40,260 --> 00:10:47,660
+على أربعة، نروح للمثال رقم ثلاثة وهذا المثال جئنا به
+
+116
+00:10:47,660 --> 00:10:53,500
+كسؤال في إحدى امتحانات أعمال الفصل السابقة، السؤال
+
+117
+00:10:53,500 --> 00:11:01,520
+اللي بيقول هي solve for x حل بالنسبة لي x، cosine
+
+118
+00:11:01,520 --> 00:11:11,380
+inverse لسالب x ناقص ln x في e cosine inverse e
+
+119
+00:11:11,380 --> 00:11:17,860
+cosine inverse x، تمام، كل هذا الكلام بده يساوي باي
+
+120
+00:11:17,860 --> 00:11:18,900
+على اثنين
+
+121
+00:11:21,170 --> 00:11:25,870
+يقول الحل المعادلة اللي عندي هذه وشوف أنك أد إيش
+
+122
+00:11:25,870 --> 00:11:32,780
+الإجابة تلتها، هنقوله بسيطة، يبقى المطلوب من هذه
+
+123
+00:11:32,780 --> 00:11:36,880
+المثلة أنه أجيب قد إيش القيمة العددية بالنسبة لـ X
+
+124
+00:11:36,880 --> 00:11:42,240
+أنه يقول الـ Solve for X من قبله، بسيطة الحلقة التالية
+
+125
+00:11:42,240 --> 00:11:47,320
+يبقى بدك تستخدم إيش عندك من معلومات في هذا الـ 
+
+126
+00:11:47,320 --> 00:11:51,960
+section أو الـ sections الماضية عشان نقدر نحصل على
+
+127
+00:11:51,960 --> 00:12:00,750
+X لوحدها فـ Cos-X هي π ناقص cosine inverse X يبقى
+
+128
+00:12:00,750 --> 00:12:05,110
+هذه π ناقص cosine inverse X خلصنا من الـ term
+
+129
+00:12:05,110 --> 00:12:12,230
+الأول اللي بعده لن هذه عبارة عن ln لمين؟ لحاصل ضرب
+
+130
+00:12:12,230 --> 00:12:17,310
+مقدرين يبقى ln الأول زائد ln الثاني وفي هناك شر
+
+131
+00:12:17,310 --> 00:12:24,630
+السلب برا سالب ln الأول سالب ln الثاني يبقى هذه 
+
+132
+00:12:24,630 --> 00:12:32,110
+سالب ln الـ X سالب ln E Cos Inverse X كله بده يسمى
+
+133
+00:12:32,110 --> 00:12:39,550
+كده؟ π على 2 طيب هذه صارت π ناقص Cos Inverse X
+
+134
+00:12:39,550 --> 00:12:46,060
+ناقص ln الـ X ناقص هذا الـ S بقدر أخده برا الـ ln
+
+135
+00:12:46,060 --> 00:12:53,540
+بيصير sin inverse X في ln الـ E يعني هذا فقط هو
+
+136
+00:12:53,540 --> 00:13:01,440
+sin inverse X بدي أساويه بـ π على 2 يبقى هذه π طلع لي
+
+137
+00:13:01,440 --> 00:13:07,100
+لهذه هه وهذه في بينهم سالب عامل مشترك يبقى بقدر
+
+138
+00:13:07,100 --> 00:13:12,840
+آخذ سالب وبظل عندك cosine inverse x زائد sine
+
+139
+00:13:12,840 --> 00:13:18,440
+inverse x بظل عندك هنا ناقص لأن الـ X بدي أساويه بقداش
+
+140
+00:13:18,440 --> 00:13:28,260
+π على اتنين شو رأيك؟ هذه π ناقص π على اتنين
+
+141
+00:13:28,260 --> 00:13:33,100
+هذه ناقص π على اتنين بده يساوي ln الـ x
+
+142
+00:13:41,190 --> 00:13:50,230
+يبقى هذا سيعطيك أن زيرو يساوي مين؟ ln الـ X يبقى E أو
+
+143
+00:13:50,230 --> 00:13:58,390
+زيرو يساوي E أس ln X يبقى هذا سيعطيك أن X يساوي E أو
+
+144
+00:13:58,390 --> 00:14:05,270
+زيرو بقداش؟ إذا حل المعادلة عبارة عن مين؟ عن X يساوي
+
+145
+00:14:05,270 --> 00:14:12,740
+واحد إذا ننتقل الآن إلى النقطة الأخيرة من الجزء
+
+146
+00:14:12,740 --> 00:14:20,340
+النظري في هذا الـ section وهي مشتقة معكوس الدوال
+
+147
+00:14:20,340 --> 00:14:30,000
+المثلثية والتكاملات المتعلقة بها يبقى
+
+148
+00:14:30,000 --> 00:14:33,440
+بدنا نيجي هنا إلى النقطة الثالثة والأخيرة في هذا
+
+149
+00:14:33,440 --> 00:14:36,160
+الـ section اللي هي الـ derivatives
+
+150
+00:14:38,670 --> 00:14:48,570
+of inverse trigonometric functions
+
+151
+00:14:48,570 --> 00:14:57,730
+مشتقة معكوس الدوال المثلثية خلي بالك معناها هنا باجي
+
+152
+00:14:57,730 --> 00:15:06,420
+بقول لو كانت الـ U  f(الـ U is a differentiable
+
+153
+00:15:06,420 --> 00:15:17,900
+function of X then نم
+
+154
+00:15:17,900 --> 00:15:26,930
+رايحين خلوا بالك معايا كويس بدنا d على dx لـ sin
+
+155
+00:15:26,930 --> 00:15:33,830
+Inverse U يوها دي ليست x وانما هي دالة في x ففاجب
+
+156
+00:15:33,830 --> 00:15:39,370
+أقول مشتقتها واحد على الجذر التربيعي لواحد ناقص
+
+157
+00:15:39,370 --> 00:15:45,330
+U تربيع في du على dx وبشرط أن الـ absolute value
+
+158
+00:15:45,330 --> 00:15:52,800
+لـ U أقل من الواحد أو لا تساوي لأن إن ساوى 1 يصبح
+
+159
+00:15:52,800 --> 00:15:59,660
+المشتقة undefined 1 على صفر مدى نهاية كمية غير
+
+160
+00:15:59,660 --> 00:16:09,840
+مُعرفة نمر اتنين بدنا d على dx لـ cos inverse U يبقى
+
+161
+00:16:09,840 --> 00:16:15,720
+واحد على الجذر التربيعي يعني لو واحد ناقص U تربيع
+
+162
+00:16:15,720 --> 00:16:21,340
+في الـ du على dx والـ absolute value أقل من الواحد
+
+163
+00:16:21,340 --> 00:16:25,820
+بدي واحد منكم يفت يقول هو بستنى المشتقتين زي بعض
+
+164
+00:16:25,820 --> 00:16:34,080
+يقول لك نعم زي بعض ولكن بإشارتين مختلفتين يبقى هذه
+
+165
+00:16:34,080 --> 00:16:42,800
+ناقص تمام؟ طيب بدنا نيجي لمين؟ للتالتة بدنا d على dx
+
+166
+00:16:42,800 --> 00:16:51,640
+لـ tan inverse U يبقى واحد على واحد زائد U تربيع في
+
+167
+00:16:51,640 --> 00:16:59,240
+du على dx والكلام هذا صحيح for all X لأن الـ domain
+
+168
+00:16:59,240 --> 00:17:04,960
+تبع tan inverse كل الـ real line بالاستثناء
+
+169
+00:17:04,960 --> 00:17:13,620
+طيب بدنا نيجي لمين؟ رقم 4 d على dx لمين؟ لـ cot inverse
+
+170
+00:17:13,620 --> 00:17:21,760
+U يبقى واحد على واحد زائد U تربيع في الـ d
+
+171
+00:17:21,760 --> 00:17:27,920
+و على dx absolute value للـ U وهذا الكلام صحيح for
+
+172
+00:17:27,920 --> 00:17:35,780
+all U بلا استثناء وهذه for all U وليست for all X
+
+173
+00:17:35,780 --> 00:17:43,350
+للكل بس طلع هذه وهذه زي بعض كمان بيختلفوا عن بعض
+
+174
+00:17:43,350 --> 00:17:49,610
+بالإشارة فبنروح بنحط هنا إشارة مين؟ سالب بالمثل رقم
+
+175
+00:17:49,610 --> 00:17:58,640
+خمسة بدنا d على dx لـ sec inverse u اللي هو واحد على
+
+176
+00:17:58,640 --> 00:18:03,720
+absolute value لـ U الجذر التربيعي لـ U تربيع ناقص
+
+177
+00:18:03,720 --> 00:18:09,980
+واحد في du على dx والـ absolute value لـ U greater
+
+178
+00:18:09,980 --> 00:18:18,950
+than one أكبر من الواحد نمر ستة الـ d على dx
+
+179
+00:18:18,950 --> 00:18:25,330
+لـ cosecant inverse U يساوي سالب واحد على absolute
+
+180
+00:18:25,330 --> 00:18:30,770
+value لـ U الجذر التربيعي لـ U تربيع ناقص واحد في
+
+181
+00:18:30,770 --> 00:18:37,250
+الـ du على dx والـ absolute value لـ U greater than
+
+182
+00:18:37,250 --> 00:18:37,850
+one
+
+183
+00:18:56,650 --> 00:19:02,610
+نعود إلى هذه المشتقات مرة أخرى ونعقد مقارنة ما
+
+184
+00:19:02,610 --> 00:19:06,990
+بينها يبقى الآن احنا عطينا مشتقة معكوس الدوال
+
+185
+00:19:06,990 --> 00:19:14,810
+المثلثية الست هذين ستة ولا تلاتة؟ ستة، لكن في
+
+186
+00:19:14,810 --> 00:19:18,890
+الحقيقة تلاتة، لأن التلاتة اللي زيهم، اللي التلاتة
+
+187
+00:19:18,890 --> 00:19:23,190
+هذول زيهم بس بشعرة مخالفة يبقى، هاي خصمنا عليكم
+
+188
+00:19:23,190 --> 00:19:28,790
+خمسين في المية من اللي هو الحفظ والفهم وما إلى
+
+189
+00:19:28,790 --> 00:19:33,670
+ذلك، تمام؟ طيب نيجي للتلاتة هذول، المطلوب يعني
+
+190
+00:19:33,670 --> 00:19:38,730
+نحفظهم ولا بيجيون موجودات في الأداء؟ بدك تحفظهم
+
+191
+00:19:38,730 --> 00:19:45,450
+مثل اسمك طبعا؟ طيب نشوف حفظه مش صعب ولا سهل، إذا
+
+192
+00:19:45,450 --> 00:19:49,370
+صعب بدناش ياه، وإذا سهل بدنا ياه، ليه جدال؟ لو
+
+193
+00:19:49,370 --> 00:19:54,470
+جدل مشتقة الـ tan Inverse اللي في المصفيها جدال؟ لأ،
+
+194
+00:19:54,470 --> 00:19:58,570
+واحد زائد يوتر بيدي وعلى dx إذا لو كانت هذه tan
+
+195
+00:19:58,570 --> 00:20:01,970
+inverse X بقول 1 على 1 زائد X تربيع هي مشتقة tan
+
+196
+00:20:01,970 --> 00:20:07,510
+inverse X صح بيها دي؟ لأ طيب، ظلت الأولى والأخيرة
+
+197
+00:20:07,510 --> 00:20:11,750
+الأولى والأخيرة هذه اللي فيها جذر يبدأ بالنسبة للـ
+
+198
+00:20:11,750 --> 00:20:18,250
+sin inverse X مشتقة 1 على 1 ناقص X تربيع لكن الـ 6
+
+199
+00:20:18,250 --> 00:20:24,070
+inverse جلبناها بصير ايش؟ X تربيع ناقص واحد ضربنا
+
+200
+00:20:24,070 --> 00:20:29,180
+برا بس في absolute value لـ X يبقى الجذر هو الجذر،
+
+201
+00:20:29,180 --> 00:20:32,620
+قلبنا لتحت، وهذه كل موقف تبتدوا لتحت، ضربناها في
+
+202
+00:20:32,620 --> 00:20:37,660
+مين؟ ضربناها في Absolute فلن .. then كله very easy
+
+203
+00:20:37,660 --> 00:20:42,720
+هذا، easy صحيح بشكل. الحين هذه وسيلة كيف أنا
+
+204
+00:20:42,720 --> 00:20:47,020
+أحفظها اللي يعني بتلزق في دماغك بعد ما اتحلك كام
+
+205
+00:20:47,020 --> 00:20:50,860
+سؤال بيتجيك لحالك حافظته بدون ايه؟ بدون ما تحاول
+
+206
+00:20:50,860 --> 00:20:57,900
+ايه تحفظهم تمام؟ خير لو حبينا نسأل من أين لك هذا؟
+
+207
+00:20:57,900 --> 00:21:02,860
+يعني أنت كيف جبتهم هديه؟ يعني أخبط ألزج بصحتناهم
+
+208
+00:21:02,860 --> 00:21:06,060
+ولا اللي هم براهين؟ اللي هم براهين؟ بديش أبرهنهم
+
+209
+00:21:06,060 --> 00:21:10,060
+كلهم كفيني واحدة بدي أبرهن لك واحدة فيهم مشان تعرف
+
+210
+00:21:10,060 --> 00:21:16,810
+كيف أجت بعد قليل بنروح نستخدم التكامل نستفيد
+
+211
+00:21:16,810 --> 00:21:21,930
+معلومات لم نكن نعرفها قبل ذلك خلّيني في الأول اقرأ
+
+212
+00:21:21,930 --> 00:21:25,330
+طبعا
+
+213
+00:21:25,330 --> 00:21:29,710
+اللي بيقول هناك بتيجي إذا برهنت واحد أجتك الباقي
+
+214
+00:21:29,710 --> 00:21:34,410
+زيه خلاص كله مطلوب ييجي وما ميجيش مهمنيش بهمني
+
+215
+00:21:34,410 --> 00:21:39,190
+تعرف من وين هذا أجا مش نزل من السماء زي ما هو لا
+
+216
+00:21:39,190 --> 00:21:46,920
+نزل بعلم فهو نجي لو أخد مثلا A على بارة كده، لو
+
+217
+00:21:46,920 --> 00:21:54,880
+عندنا Y تساوي sin inverse X، بدنا نشتقها عشان
+
+218
+00:21:54,880 --> 00:21:58,960
+أشتغل أنا ما أعرفش مشتقة الـ sin inverse لكن بقدر
+
+219
+00:21:58,960 --> 00:22:03,700
+أجيب العبارة المكافئة لهذه العبارة العبارة
+
+220
+00:22:03,700 --> 00:22:07,600
+المكافئة لهذه العبارة اللي هي الـ sin الـ Y بدل
+
+221
+00:22:07,600 --> 00:22:13,640
+سواء من؟ بدل سواء X بنقول اه يعني لو كان عندي مثلث
+
+222
+00:22:13,640 --> 00:22:21,010
+قائم الزاوية بهذا الشكل وهذه الزاوية Y فجيب الـ Y
+
+223
+00:22:21,010 --> 00:22:26,790
+المقابل على الـ water يبقى هذا المقابل وهذا الـ
+
+224
+00:22:26,790 --> 00:22:33,030
+water و حسب فيه ثغورت أقبلها التالت واحد ناقص
+
+225
+00:22:33,030 --> 00:22:40,330
+extra beer طب إن نشتق هذه يبقى هذا بيعطيك تفاضل الـ
+
+226
+00:22:40,330 --> 00:22:46,350
+sin بيكو sin Y في dy على dx هذا مشتقة
+
+227
+00:22:46,350 --> 00:22:51,770
+الطرف الشمالي الطرف اليمين مشتقة الـ X بواحد هذا
+
+228
+00:22:51,770 --> 00:22:59,850
+بيعطيك أن dy by dx بيساوي واحد على cos
+
+229
+00:22:59,850 --> 00:23:08,090
+الـ Y طبعا هذا بده يعطيك d على dx ليه؟ مين هي
+
+230
+00:23:08,090 --> 00:23:13,510
+الـ Y؟ sin inverse X صحيح ولا لأ؟ إذا بدي أشيل Y و
+
+231
+00:23:13,510 --> 00:23:19,330
+أضع بدلها الـ sin inverse X بدي يساوي واحد بتدي d
+
+232
+00:23:19,330 --> 00:23:24,150
+على الـ cosine زي Y الـ cosine هو المجاور على الـ
+
+233
+00:23:24,150 --> 00:23:30,250
+water يبقى الجذر التربيعي لمين؟ لو واحد ناقص X
+
+234
+00:23:30,250 --> 00:23:36,400
+تربيع وهو المطلوب؟ مظلومش هنا it's chain rule بدي
+
+235
+00:23:36,400 --> 00:23:44,520
+بقول if الـ U is a differentiable function of X
+
+236
+00:23:44,520 --> 00:23:50,020
+then بدي أطبق الـ chain rule فبقول d على dx لـ
+
+237
+00:23:50,020 --> 00:23:55,840
+sin inverse U يساوي واحد على الجذر التربيعي لواحد
+
+238
+00:23:55,840 --> 00:24:00,660
+ناقص U تربيع في du على dx وهنا الـ absolute
+
+239
+00:24:00,660 --> 00:24:05,720
+value لـ U أقل من الواحد وهنا absolute value لـ X أقل
+
+240
+00:24:05,720 --> 00:24:10,400
+من الـ main واحد وهو المطلوب التكتيك تبع ذلك الباقي
+
+241
+00:24:10,400 --> 00:24:15,500
+بنفس الطريقة لكن لكن هذا هيجيب لي الشغلات ما كنتش
+
+242
+00:24:15,500 --> 00:24:19,340
+أقدر أعملها قبل هيك زي ايش مثلا الآن بالذات
+
+243
+00:24:19,340 --> 00:24:26,300
+للتكاملات نمر واحد لو جيت قلت لك جد ايش تكامل واحد على
+
+244
+00:24:26,300 --> 00:24:35,040
+جذر التربيعي لـ A تربيع ناقص X تربيع في dx هذه شبه
+
+245
+00:24:35,040 --> 00:24:43,800
+هذه اللهم إلا بدل التربيع جدميا لول واحد يعني كأن
+
+246
+00:24:43,800 --> 00:24:48,700
+هذه حالة خاصة من مين؟ من هذه بنقولها بسيطة، هذه
+
+247
+00:24:48,700 --> 00:24:57,500
+بنقدر نقول لك الجواب كالتالي يساوي sine inverse للـ X
+
+248
+00:24:57,500 --> 00:25:04,850
+على A زائد constant C هذه ما كناش بنعرفها قبل هيك لا
+
+249
+00:25:04,850 --> 00:25:08,730
+في كل كلص A ولا حتى اللي درسناه في كل كلص B طب
+
+250
+00:25:08,730 --> 00:25:14,770
+النقطة الثانية لو عندك تكامل واحد على A تربيع زائد 
+
+251
+00:25:14,770 --> 00:25:22,060
+X تربيع عن X يعني شبه مهم ابهاديجد إيش النتيجة يبقى
+
+252
+00:25:22,060 --> 00:25:30,020
+النتيجة واحد على A في تان inverse X على A
+
+253
+00:25:30,020 --> 00:25:36,600
+زائد كونستانت C طب والتالتة والاخيرة التالتة
+
+254
+00:25:36,600 --> 00:25:44,500
+والاخيرة يتكامل لواحد على X الجذر التربيعي لـ X 
+
+255
+00:25:44,500 --> 00:25:50,670
+تربيع ناقص A تربيع DX يساوي واحد على A في sec
+
+256
+00:25:50,670 --> 00:25:56,690
+inverse absolute value of X على A زائد constant C
+
+257
+00:25:56,690 --> 00:26:02,990
+شوف ازاي ما اديتش عفوية كمان الشغلة لما هي واحدة
+
+258
+00:26:02,990 --> 00:26:07,970
+اتنين و تلاتة لاحظ اتنين و تلاتة في جابلها واحد
+
+259
+00:26:07,970 --> 00:26:13,900
+على A لكن في حالة الـ sin ما عنديش واحد على A ليش؟
+
+260
+00:26:13,900 --> 00:26:18,360
+هذا الكلام اللي بدنا نقوله مشان نثبت صحة التلاتة
+
+261
+00:26:18,360 --> 00:26:22,560
+التلاتة لهم نفس التعويضة كويس إيش التعويضة اللي
+
+262
+00:26:22,560 --> 00:26:28,220
+بدنا نحطها؟ بدنا نيجي مشان البرهان بدك تقول لي let X
+
+263
+00:26:28,220 --> 00:26:36,640
+بده يساوي A T يبقى DX يساوي A في مين؟ في DT يبقى لو
+
+264
+00:26:36,640 --> 00:26:41,800
+كنت برهن أي واحدة منهم و التكن النقطة الأولى للـ A
+
+265
+00:26:41,800 --> 00:26:46,460
+تبعتها بعض هأقول لك الآن بيقول لك إنها بعض فعلاً و هأقول لك
+
+266
+00:26:46,460 --> 00:26:51,980
+و هأقول لك الـ A تبعتهم موجودة كيف؟ فبعدين بقول احنا
+
+267
+00:26:51,980 --> 00:26:57,320
+بدنا تكامل واحد على الجذر التربيعي لـ A تربيع ناقص
+
+268
+00:26:57,320 --> 00:27:05,960
+X تربيع DX يساوي التكامل الـ DX مقدر بش A DT يبقى
+
+269
+00:27:05,960 --> 00:27:10,840
+الـ A DT طبعاً يا شباب كل اللي عندنا هذا الـ A و الـ
+
+270
+00:27:10,840 --> 00:27:15,650
+A و الـ A كله الـ A greater than zero يبقى تحكمي أن
+
+271
+00:27:15,650 --> 00:27:20,650
+الـ A أكبر من الـ 0 دائماً و أبداً يبقى باجي بقول على
+
+272
+00:27:20,650 --> 00:27:26,430
+الجذر التربيعي اللي يمين للـ A تربيع ناقص X تربيع
+
+273
+00:27:26,430 --> 00:27:33,170
+تعني A تربيع T تربيع يبقى A تربيع T تربيع بالشكل
+
+274
+00:27:33,170 --> 00:27:38,510
+اللي عندنا هنا يبقى هذا الكلام بيساوي تكامل A DT
+
+275
+00:27:38,510 --> 00:27:44,910
+على إيه تربيع مع إيه تربيع تطلع برا؟ بـ A يبقى هذا
+
+276
+00:27:44,910 --> 00:27:50,730
+الـ A وهذا الجذر التربيعي لواحد ناقص T تربيع الـ A 
+
+277
+00:27:50,730 --> 00:27:56,630
+و الـ M على السلامة يبقى تكامل DT على الجذر التربيعي
+
+278
+00:27:56,630 --> 00:28:03,910
+لواحد ناقص T تربيع بتطلع لي هنا هاي عندك مين مشتاق
+
+279
+00:28:03,910 --> 00:28:09,210
+الـ sin inverse X هي 1 على 1 ناقص X تربيع لو كملت
+
+280
+00:28:09,210 --> 00:28:13,530
+هنا بيجيني التكامل اللي هناك صح؟ و لو كملت هنا
+
+281
+00:28:13,530 --> 00:28:18,920
+هيضيع تفهيم مين بيطلع عندي sin inverse X يبدو هذا
+
+282
+00:28:18,920 --> 00:28:26,800
+الجواب يبدو يساوي sin inverse T زائد كونستانت C لكن
+
+283
+00:28:26,800 --> 00:28:33,600
+اتطلع لي هذي T قد إيش بدها تساوي X على A إذا هذي بدها
+
+284
+00:28:33,600 --> 00:28:41,760
+تساوي sin inverse X على A زائد كونستانت C وهو المطلوب
+
+285
+00:28:41,760 --> 00:28:49,330
+الأول اللي عندنا نفس التعويضة بدي أضعها للدالة اللي
+
+286
+00:28:49,330 --> 00:28:52,870
+عندنا هذه، يبقى أنا إيش بدي أشيلها يا شباب؟ إيه
+
+287
+00:28:52,870 --> 00:28:59,870
+تربيعي تربيع، وهنا قاعدتي، يبقى بدي أخد إيه تربيع
+
+288
+00:28:59,870 --> 00:29:06,030
+عامل مشتركه فوق، إيه بيظل قد إيش؟ 1 على A هايها و بضل
+
+289
+00:29:06,030 --> 00:29:12,450
+1 على 1 زي T تربيع اللي هو tan inverse T بشيل الـ T
+
+290
+00:29:12,450 --> 00:29:17,350
+و بحط مكانها X على A بيقول حصلنا على هذي هذي بنفس
+
+291
+00:29:17,350 --> 00:29:22,970
+الطريقة اللي بعدها بدي أشيل الـ X و أحط مكانها A T
+
+292
+00:29:22,970 --> 00:29:31,750
+وهذه A تربيع T تربيع و فوق A DT هنا A تربيع A
+
+293
+00:29:31,750 --> 00:29:37,630
+تربيع تطلع برا بـ A مع الـ A A تربيع وعندي A فوق يبقى
+
+294
+00:29:37,630 --> 00:29:43,170
+واحد على A بيظل واحد على T واحد زي A و T تربيع
+
+295
+00:29:43,170 --> 00:29:48,210
+ناقص واحد لـ sec inverse T بشيل الـ T و بحط مكان X
+
+296
+00:29:48,210 --> 00:29:58,000
+عليه بيقول وصلنا لمين؟ وصلنا للنتيجة طبعاً استفدنا
+
+297
+00:29:58,000 --> 00:30:02,620
+فائدة كبيرة جداً كثير من المسائل اللي كنا بنقدرش 
+
+298
+00:30:02,620 --> 00:30:08,020
+كاملة في Calculus A أو في الـ sections الماضية هذه
+
+299
+00:30:08,020 --> 00:30:13,200
+من كاملها بسهولة خاصة إذا المسألة فيها جذور يبقى
+
+300
+00:30:13,200 --> 00:30:17,860
+قدرنا نخلص من الجذور و نحط التكامل تبعها من الدالة
+
+301
+00:30:17,860 --> 00:30:22,520
+لإنها طيب إذا بنبدأ ناخد إيش بعض الأمثلة على هذا
+
+302
+00:30:22,520 --> 00:30:28,340
+الموضوع يبقى Examples أول
+
+303
+00:30:28,340 --> 00:30:33,360
+مثال بيقول Find the following
+
+304
+00:30:36,170 --> 00:30:43,350
+Limits بدنا النهايات التالية أول واحدة منهم بدنا
+
+305
+00:30:43,350 --> 00:30:50,110
+Limit لما الـ X بدها تروح إلى infinity للـ X في Tan
+
+306
+00:30:50,110 --> 00:30:56,900
+inverse 2 على X طب ما احنا خدنا Limit قبل ذلك و ليه
+
+307
+00:30:56,900 --> 00:31:01,880
+جاي تعطينا Limit هنا؟ الإجابة بسيطة جداً لإن هناك
+
+308
+00:31:01,880 --> 00:31:06,480
+أخدنا Limit في حالة L'Hopital وما أخدناهاش لمعكوس
+
+309
+00:31:06,480 --> 00:31:12,260
+ما كانش ولا سؤال في معكوس لدالة مثلثية لإنه ما
+
+310
+00:31:12,260 --> 00:31:17,320
+أخدناهاش الدوال المثلثية يوم أن أخدنا قاعدة
+
+311
+00:31:17,320 --> 00:31:21,720
+L'Hopital إذا بدنا نعمم L'Hopital لمعكوس الدول
+
+312
+00:31:21,720 --> 00:31:25,420
+المثلثية و لا غيره طب اللي أنا بدي احسب هذه اللي
+
+313
+00:31:25,420 --> 00:31:30,940
+بتبقى أول خطوة هي التعويض المباشر شيل الـ X و حط
+
+314
+00:31:30,940 --> 00:31:36,020
+infinity ونشيل الـ X التاني ونحط infinity 2 على
+
+315
+00:31:36,020 --> 00:31:42,600
+infinity بـ zero Tan inverse zero بـ zero يبقى infinity
+
+316
+00:31:42,600 --> 00:31:47,380
+بـ zero هي الحالة الثانية يوم ما درسنا الـ section
+
+317
+00:31:47,380 --> 00:31:54,030
+اللي فيه قواعد نوبة يبقى نحوّر هذه المسألة بحيث
+
+318
+00:31:54,030 --> 00:32:00,350
+نحوّلها إلى 0 على 0 أو infinity على infinity يبقى
+
+319
+00:32:00,350 --> 00:32:05,550
+هذه الـ Limit لما الـ X tends to infinity لمين؟ لـ Tan
+
+320
+00:32:05,550 --> 00:32:12,870
+inverse 2 على X على 1 على X هذه حولت للمثال
+
+321
+00:32:12,870 --> 00:32:17,050
+لمين؟ واحد عمل نهاية بالـ zero و واحد عمل نهاية
+
+322
+00:32:17,050 --> 00:32:19,650
+بالـ zero و التاني عمل نهاية بالـ zero يبقى صفر zero
+
+323
+00:32:19,650 --> 00:32:24,530
+على zero يبقى 0 على 0 إذا بقدر أستخدم قاعدة
+
+324
+00:32:24,530 --> 00:32:29,750
+L'Hopital يبقى هذا الكلام يساوي الـ Limit لما الـ X
+
+325
+00:32:29,750 --> 00:32:34,190
+tends to infinity مشتقة البسط على مشتقة المقام
+
+326
+00:32:34,190 --> 00:32:39,730
+مشتقة الـ Tan inverse أخدناها قبل قليل يبقى واحد
+
+327
+00:32:39,730 --> 00:32:47,390
+على واحد زائد 2 على X لكل تربيع في مشتقة
+
+328
+00:32:47,390 --> 00:32:52,650
+الزاوية 2 ما لكش دعوة مشتقة 1 على X بـ سالب 1
+
+329
+00:32:52,650 --> 00:32:58,310
+على X تربيع يبقى هي عندك الـ 2 في سالب 1
+
+330
+00:32:58,310 --> 00:33:04,540
+على X تربيع على مشتقة المقام كمان اللي بـ سالب 1
+
+331
+00:33:04,540 --> 00:33:10,280
+على X تربيع نختصر هذا المقدار مع هذا المقدار
+
+332
+00:33:10,280 --> 00:33:15,380
+وبالتالي بتقول المسألة إلى 2 برا الـ Limit وهي
+
+333
+00:33:15,380 --> 00:33:19,860
+Limit لما الـ X tends to infinity بقى عندنا فقط
+
+334
+00:33:19,860 --> 00:33:27,530
+1 على 1 زائد 2 على X لكل تربيع طب العامة
+
+335
+00:33:27,530 --> 00:33:31,210
+التعويض المباشر عدد على ما لا نهاية بـ zero بضل قد إيش؟
+
+336
+00:33:31,210 --> 00:33:36,370
+1 على 1 اللي هو بـ 1 يبقى الجواب 2 في
+
+337
+00:33:36,370 --> 00:33:44,750
+1 ويساوي 2 قيمة هذه الـ Limit طب نجي ناخد
+
+338
+00:33:44,750 --> 00:33:50,970
+هذا نمرة 1 و ناخد نمرة 2 بدنا الـ Limit لما
+
+339
+00:33:50,970 --> 00:33:55,770
+الـ X بدها تروح للـ zero من جهة اليمين للـ sin
+
+340
+00:33:55,770 --> 00:34:03,210
+inverse X تربيع على الـ sin inverse X لكل تربيع
+
+341
+00:34:03,210 --> 00:34:10,370
+تعالى نعود بطريقة مباشرة zero تربيع بـ zero الـ sin
+
+342
+00:34:10,370 --> 00:34:15,910
+inverse zero قد إيش؟ ملحوظة sin inverse بمربوطة نقطة
+
+343
+00:34:15,910 --> 00:34:21,090
+الأصل هو الرسم أخدناها في مركز الدوال المثلثية
+
+344
+00:34:21,090 --> 00:34:22,530
+بمربوطة نقطة أولى بمربوطة نقطة أولى بمربوطة نقطة أولى
+
+345
+00:34:22,530 --> 00:34:25,410
+بمربوطة نقطة أولى بمربوطة نقطة أولى بمربوطة نقطة أولى
+
+346
+00:34:25,410 --> 00:34:33,030
+بمربوطة
+
+347
+00:34:33,030 --> 00:34:38,670
+نقطة أولى يبقى هذا الكلام Limit لما الـ X بدي يروح لـ
+
+348
+00:34:38,670 --> 00:34:43,170
+zero من جهة اليمين لمشتقة البسط على مشتقة المقام
+
+349
+00:34:43,170 --> 00:34:51,170
+1 على الجذر التربيعي لـ 1 ناقص X تربيع لكل
+
+350
+00:34:51,170 --> 00:34:57,690
+تربيع في مشتقة الزاوية له قد إيش؟ بـ 2 X هذا كله
+
+351
+00:34:57,690 --> 00:35:03,030
+البسط بنجي للمقام، المقام قوس و القوس مرفوع لأس
+
+352
+00:35:03,030 --> 00:35:10,050
+يبقى بنجي بنقول الأس في القوس نفسه في مشتقة ما
+
+353
+00:35:10,050 --> 00:35:14,570
+داخل القوس مشتقة الـ sin inverse اللي هي 1 على
+
+354
+00:35:14,570 --> 00:35:21,680
+الجذر التربيعي لـ 1 ناقص X تربيع هذا الكلام بده
+
+355
+00:35:21,680 --> 00:35:27,780
+يساوي Limit لما الـ X بده يروح للـ zero من جهة
+
+356
+00:35:27,780 --> 00:35:32,920
+اليمين أظن 2 في البسط و 2 في المقام هذي مش
+
+357
+00:35:32,920 --> 00:35:37,980
+لازمة إيش بده اللي عنده في البسط هذا هذا بدي أعيد
+
+358
+00:35:37,980 --> 00:35:44,480
+صيارتة فبقول 1 على السؤال هو أليس هذا فرق بين
+
+359
+00:35:44,480 --> 00:35:50,120
+المربعين يعني بقدر أحلله 1 ناقص X تربيع و 1
+
+360
+00:35:50,120 --> 00:35:54,540
+زائد X تربيع كله تحت مين؟ تحت الجذر وبالتالي بقدر
+
+361
+00:35:54,540 --> 00:36:00,300
+أوزع الجذر لكل منهم يعني هذا كأنه الجذر التربيعي
+
+362
+00:36:00,300 --> 00:36:04,840
+إلى 1 ناقص X تربيع في الجذر التربيعي إلى 1
+
+363
+00:36:04,840 --> 00:36:10,000
+زائد X تربيع هذا الجذر الأول اللي عندنا هذا تمام؟
+
+364
+00:36:10,000 --> 00:36:14,540
+و فوق ضلت أن هذا الواحد مضروب في X يبقى بـ X دغري
+
+365
+00:36:15,000 --> 00:36:20,560
+يبقى اصبح أن X على حاصل ضرب الجذرين هذا من البسط
+
+366
+00:36:20,560 --> 00:36:21,980
+نجل المقام
+
+367
+00:36:24,490 --> 00:36:31,950
+1 على sin inverse X هذا الجذر يجب أن ينجلب و يطلع
+
+368
+00:36:31,950 --> 00:36:37,010
+فوق يبقى لو انجلب و يطلع فوق يصبح الجذر التربيعي
+
+369
+00:36:37,010 --> 00:36:42,610
+إلى 1 من ناقص X تربيع أظن في اختصارات الجذر هذا و
+
+370
+00:36:42,610 --> 00:36:47,790
+الجذر هذا معاهم مع السلامة إذا آلة الـ Limit اللي
+
+371
+00:36:47,790 --> 00:36:53,380
+عندنا إلى X بدأت تروح لـ zero من جهة اليمين يبقى في
+
+372
+00:36:53,380 --> 00:36:59,260
+البسط فقط X لا غير في المقام صار عندنا الجذر
+
+373
+00:36:59,260 --> 00:37:05,080
+التربيعي لـ 1 زائد X تربيع في sin inverse X
+
+374
+00:37:05,080 --> 00:37:12,330
+ويساوي لو جيه تعويض مباشر يبقى هدف zero هدف zero في
+
+375
+00:37:12,330 --> 00:37:18,030
+1 يبقى بـ zero يبقى L'Hopital كمان مرة يبقى 
+
+376
+00:37:18,030 --> 00:37:23,010
+High Limit لما الـ X بده يروح لـ Zero من جهة اليمين
+
+377
+00:37:23,010 --> 00:37:30,890
+تفاضل البسط واحد على تفاضل المقام المقام مشتق
+
+378
+00:37:30,890 --> 00:37:39,790
+تحاصل ضرب دالتين يبقى الدالة الأولى في مشتقة الدالة 
+
+379
+00:37:39,790 --> 00:37:43,810
+الثانية مشتقة الـ sign inverse اللي هو واحد على
+
+380
+00:37:43,810 --> 00:37:50,710
+الجذر التربيعي لواحد ناقص X تربيع زائد الدالة
+
+381
+00:37:50,710 --> 00:37:56,090
+الثانية اللي هو sign inverse X في مشتقة الأولى
+
+382
+00:37:56,090 --> 00:38:06,510
+مشتقة الجذر بواحد على اثنين الجذر تمامًا في مشتقة ما 
+
+383
+00:38:06,510 --> 00:38:14,130
+داخل الجذر اللي هو كده بتنين X طيب نجي نشوف التعويض
+
+384
+00:38:14,130 --> 00:38:20,610
+عن X بزيرو يبقى هتصير واحد على زيرو بتطير هذه
+
+385
+00:38:20,610 --> 00:38:26,460
+زيرو بتطير هذه بظل واحد على واحد اللي هو بواحد وصل
+
+386
+00:38:26,460 --> 00:38:34,180
+لزائد زائد sign inverse لـ zero في zero على اثنين
+
+387
+00:38:34,180 --> 00:38:37,720
+يبقى الجواب 
+
+388
+00:38:37,720 --> 00:38:49,400
+كله قداش يساوي واحد صحيح هو نهاية هذه الدالة حد
+
+389
+00:38:49,400 --> 00:38:52,380
+بدي أسأله سؤال بالنسبة لهذه الـ limit
+
+390
+00:38:58,520 --> 00:39:06,020
+طيب تهيأنا من المثال اللي هو الأول بابنا نروح
+
+391
+00:39:06,020 --> 00:39:15,600
+للمثال الثاني يبقى example two يقول
+
+392
+00:39:15,600 --> 00:39:24,040
+find y prime for each of
+
+393
+00:39:33,160 --> 00:39:39,900
+بنجد مشتقة كل من المقادير التالية  نمرا واحد هو
+
+394
+00:39:39,900 --> 00:39:48,330
+يساوي tan inverse لإن الـ X يبقى كأن المثال Y تساوي 
+
+395
+00:39:48,330 --> 00:39:54,030
+tan inverse U يبقى
+
+396
+00:39:54,030 --> 00:39:59,430
+واحد على واحد زائد U تربيع في مشتقة الـ U حسب ما أخذناه
+
+397
+00:39:59,430 --> 00:40:05,900
+قبل قليل يبقى هذا يعطيك أن Y prime يساوي مشتقة الـ
+
+398
+00:40:05,900 --> 00:40:12,560
+tan inverse واحد على واحد زائد U تربيع يعني لإن الـ
+
+399
+00:40:12,560 --> 00:40:19,640
+X الكل تربيع في دي U على دي X يعني في مشتقة كدوش
+
+400
+00:40:19,640 --> 00:40:25,240
+يعني واحد على X اختصارات ما فيش بروح بخليها  نمرا
+
+401
+00:40:25,240 --> 00:40:36,100
+اثنين بدنا Y تساوي cotan inverse  cotan inverse الجذر
+
+402
+00:40:36,100 --> 00:40:40,760
+التربيعي لـ X تربيع ناقص واحد Y'
+
+403
+00:40:42,680 --> 00:40:49,600
+يساوي الـ cotan inverse شرطة عند اشتقاق بالسالب يبقى
+
+404
+00:40:49,600 --> 00:40:55,520
+السالب واحد على واحد زائد الجذر التربيعي لـ X
+
+405
+00:40:55,520 --> 00:40:59,780
+تربيع ناقص واحد الكل تربيع
+
+406
+00:41:04,560 --> 00:41:14,660
+مشتقة الجذر واحد على اثنين الجذر في مداخل الجذر
+
+407
+00:41:14,660 --> 00:41:16,740
+اثنين X 
+
+408
+00:41:23,420 --> 00:41:29,460
+طبعا هنا تربيع حيُطير الجذر يبقى بضال واحد زائد X
+
+409
+00:41:29,460 --> 00:41:35,820
+تربيع ناقص واحد هيربع من هذا المقدار اثنين مع
+
+410
+00:41:35,820 --> 00:41:41,620
+اثنين الله يسهل عليها بضالة من يمين X على مين على
+
+411
+00:41:41,620 --> 00:41:47,760
+الجذر التربيعي لـ X تربيع ناقص واحد يبقى هذا الكلام
+
+412
+00:41:47,760 --> 00:41:53,140
+يساوي سالب واحد على X تربيع واحد وسالب واحد مع
+
+413
+00:41:53,140 --> 00:41:58,920
+السالب بظل مضروب في X على الجذر التربيعي لـ X تربيع
+
+414
+00:41:58,920 --> 00:42:06,140
+ناقص واحد نختصر الـ X مع الـ X بظل ناقص واحد على X
+
+415
+00:42:06,140 --> 00:42:13,340
+الجذر التربيعي لـ X تربيع ناقص واحد طيب السؤال
+
+416
+00:42:13,340 --> 00:42:21,430
+الثالث السؤال الثالث بيقول لي Y تساوي general x الـ
+
+417
+00:42:21,430 --> 00:42:26,330
+square root للـ X في cosine inverse الـ square root
+
+418
+00:42:26,330 --> 00:42:41,750
+للـ X كله أس أربعة يبقى بدنا Y prime تساوي يلا
+
+419
+00:42:41,750 --> 00:42:58,140
+فكروني في الموضوع كيف بنحل السؤال هذا؟
+
+420
+00:42:58,140 --> 00:43:06,700
+طلعنا كويسة يباشر من هنا عصر البرد دل ثاني يبقى
+
+421
+00:43:06,700 --> 00:43:12,910
+الدالة الأولى في مشتقة الدالة الثانية cos مرفوع لأس
+
+422
+00:43:12,910 --> 00:43:22,180
+يبقى الأس في الـ cos مرفوعة لنفس الأس مطروح منه واحد في 
+
+423
+00:43:22,180 --> 00:43:29,460
+مشتقة مداخل القوس اللي هو مين؟ سالب واحد على واحد
+
+424
+00:43:29,460 --> 00:43:36,900
+زائد مربع هذا اللي هو جذر الـ X الكل تربيع في مين؟
+
+425
+00:43:36,900 --> 00:43:44,680
+في مشتقة الزاوية اللي هو قداش؟ واحد على اثنين جذر
+
+426
+00:43:44,680 --> 00:43:48,710
+الـ X يبقى كل اللي عملناه الكلكة علي كتيرة لسه
+
+427
+00:43:48,710 --> 00:43:54,890
+الأول في مشتقة الثاني زائد الثاني زائد cosine
+
+428
+00:43:54,890 --> 00:44:01,410
+inverse لجذر الـ X الكل أس أربعة في مشتقة جذر الـ X
+
+429
+00:44:01,410 --> 00:44:08,070
+بواحد على اثنين جذر الـ X واحد على اثنين جذر الـ X
+
+430
+00:44:08,070 --> 00:44:14,070
+طبعا في اختصارات هذه X جذر الـ X في المقام وجذر الـ
+
+431
+00:44:14,070 --> 00:44:21,140
+X في البسط اثنين هذه وهنا أربعة بظل اثنين يبقى
+
+432
+00:44:21,140 --> 00:44:28,440
+أصبحت النتيجة كالتالي يبقى أن هذا كله ناقص اثنين 
+
+433
+00:44:28,440 --> 00:44:36,160
+وهنا cosine inverse لجذر الـ X الكل تكعيب عالمين
+
+434
+00:44:36,160 --> 00:44:43,680
+واحد زائد X فقط لا غير هذا الجزء الأول الجزء الثاني
+
+435
+00:44:43,680 --> 00:44:49,300
+مش فيه اختصارات يبقى يبقى كما هو cosine inverse
+
+436
+00:44:49,300 --> 00:44:58,980
+لجذر الـ X الكل أس أربعة على اثنين جذر الـ X الخطوة
+
+437
+00:44:58,980 --> 00:45:04,140
+ليه المرة الثانية قال يبقى بالك معايا كويس صح صح
+
+438
+00:45:04,140 --> 00:45:09,360
+اللي كان سرحان اللي مش فاهم اللي ناسي إيه اللي إيه
+
+439
+00:45:09,360 --> 00:45:15,270
+اللي يخلمك معايا هذا المثال اللي عنّاه يبقى إحنا عندنا
+
+440
+00:45:15,270 --> 00:45:21,110
+هذه دالة هذه function وهذه function ثانية إذا
+
+441
+00:45:21,110 --> 00:45:26,030
+السؤال هو مشتقة حاصل ضرب دالتين مضايق أقوله
+
+442
+00:45:26,030 --> 00:45:30,010
+الدالة الأولى في مشتقة الدالة الثانية الدالة
+
+443
+00:45:30,010 --> 00:45:35,190
+الأولى جذر الـ X الدالة الثانية cos ومرفوعة لأس في
+
+444
+00:45:35,190 --> 00:45:40,410
+كل قوس إيه علموكم المدرسين إن شروطة الأس في الـ cos
+
+445
+00:45:40,410 --> 00:45:43,910
+مرفوعة لنفس الأس مطروح من واحد فيه مشتقة مداخل
+
+446
+00:45:43,910 --> 00:45:51,640
+القوس مش هيك بدنا نترجمها عرفيًا يبقى هذا الأس الـ
+
+447
+00:45:51,640 --> 00:45:56,400
+cos زي ما هو مرفوع لنفس الأس مطروح من واحد يبقى
+
+448
+00:45:56,400 --> 00:46:00,980
+صارت ثلاثة مشتقة مداخل القوس يعني مشتقة الـ cosine
+
+449
+00:46:00,980 --> 00:46:06,660
+inverse اللي سالب واحد على واحد زائد مربع الزاوية
+
+450
+00:46:06,660 --> 00:46:11,340
+طيب، الزاوية هذه دالة في X مش X، يبقى بدنا نروح
+
+451
+00:46:11,340 --> 00:46:15,940
+نضرب في مشتقة جذر الـ X اللي واحد على اثنين جذر
+
+452
+00:46:15,940 --> 00:46:20,780
+الـ X أظن التالي ما فيش فيها مشكلة؟ ولا حاجة، أيوا
+
+453
+00:46:23,120 --> 00:46:35,480
+اسمع طيانات، أيوا؟ هذه، كم مرة؟
+
+454
+00:46:35,480 --> 00:46:43,610
+يا رجل تجي الله، مشتقة هذه هي نصف وهي تكوين في
+
+455
+00:46:43,610 --> 00:46:47,910
+مشتقة دي اللي جوا القوس، مشتقة الـ cosine inverse
+
+456
+00:46:47,910 --> 00:46:55,310
+سالب واحد على واحد زائد مربع المقدار هذا، قرب اسمها
+
+457
+00:46:55,310 --> 00:46:57,230
+تينا، وهو الجذر
+
+458
+00:47:02,790 --> 00:47:10,390
+آه آه الجذر قصدك هذه آه صحيح هذه مظبوط وهذه آه
+
+459
+00:47:10,390 --> 00:47:15,810
+cosine inverse سبحان الله هذه سالب مظبوط كلامك صحيح
+
+460
+00:47:15,810 --> 00:47:24,110
+هذا صح طبعًا وفوق كل ذي علم عليم أقر أن أخطأ 
+
+461
+00:47:24,110 --> 00:47:28,750
+الراجل بيحكي صحيح لإن هذه مشتقة الـ cosine inverse
+
+462
+00:47:28,750 --> 00:47:33,110
+هي واحد على الجذر التربيعي لواحد ناقص X تربيع يبقى
+
+463
+00:47:33,110 --> 00:47:39,690
+هذه بالسالب يبقى هذه بتصير بالسالب بالشكل اللي هنا
+
+464
+00:47:39,690 --> 00:47:48,720
+واحد ناقص X وتحت الجذر فقط لا غير أنا أسمع يبقى
+
+465
+00:47:48,720 --> 00:47:56,240
+هاي عدلناها طيب هنجي للنقطة الرابعة النقطة
+
+466
+00:47:56,240 --> 00:48:08,340
+الرابعة بيبني Y تساوي ثلاثة tan inverse X زائد و
+
+467
+00:48:08,340 --> 00:48:17,540
+tan inverse لثلاثة و سنأخذها لكن بنشتق
+
+468
+00:48:17,540 --> 00:48:21,620
+هذه وننهي المحاضرة إن شاء الله تعالى بالنوايا
+
+469
+00:48:21,620 --> 00:48:28,480
+قواعد يساوي هذه كأنها AOSU يبقى AOSU في ln الـ F
+
+470
+00:48:28,480 --> 00:48:35,380
+ومشتقة الـ U مظبوط؟ يبقى AOSU الدالة كما هي في ln
+
+471
+00:48:35,380 --> 00:48:42,580
+الثلاثة في مشتقة الـ tan inverse لواحد زائد X تربيع
+
+472
+00:48:42,580 --> 00:48:46,960
+طبعا خلاص ما منها الـ quotient inverse شريتها 
+
+473
+00:48:46,960 --> 00:48:55,420
+بالسالب يبقى سالب واحد على واحد زائد ثلاثة أس X
+
+474
+00:48:55,420 --> 00:49:01,640
+لكل تربيع في مشتقة مين؟ الثلاثة أس X اللي ثلاثة أس
+
+475
+00:49:01,640 --> 00:49:08,790
+X في ln الثلاثة أكثر من هيك ما عنديش اللهم إلا إذا بدك
+
+476
+00:49:08,790 --> 00:49:13,530
+تكتب هذه ثلاثة أس اثنين X ما عندناش مشكلة وإذا بدك
+
+477
+00:49:13,530 --> 00:49:19,170
+تكتبها تسعة أس X كمان ما عندناش مشكلة هذا أس 
+
+478
+00:49:19,170 --> 00:49:22,690
+مركب بيصير ثلاثة أس الـ X في اثنين اللي هو
+
+479
+00:49:22,690 --> 00:49:27,470
+بـ اثنين الـ X أو ثلاثة ربعة أس X يعني تسعة و أس
+
+480
+00:49:27,470 --> 00:49:32,310
+أكتبت إيه؟ كتبت إيه؟ كتبت إيه؟ كله زي ما هو ما عنديش 
+
+481
+00:49:32,310 --> 00:49:36,210
+اختصارات يبقى بيخليها وبروح وبس يبقى نكمل إن شاء
+
+482
+00:49:36,210 --> 00:49:38,590
+الله المرة القادمة
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/75vivrfxX54_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/75vivrfxX54_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..8aa068f6f7ae8fc6c96ff1d82ad8a63d0ee2cc1d
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/75vivrfxX54_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 1376, "start": 11.74, "end": 13.76, "text": "بسم الله الرحمن الرحيم", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640], "avg_logprob": -0.0494384765625, "compression_ratio": 1.0789473684210527, "no_speech_prob": 0.0, "words": [{"start": 11.74, "end": 12.64, "word": "بسم", "probability": 0.88525390625}, {"start": 12.64, "end": 12.86, "word": " الله", "probability": 0.97265625}, {"start": 12.86, "end": 13.26, "word": " الرحمن", "probability": 0.9490559895833334}, {"start": 13.26, "end": 13.76, "word": " الرحيم", "probability": 0.9930013020833334}], "temperature": 1.0}, {"id": 2, "seek": 3397, "start": 14.87, "end": 33.97, "text": "المرة الماضية كنا بتحدث في نقطة النظرية رقم اتنين تبع هذه ال section وهي ال identities of inverse trigonometric functions يعني بعض المتطابقات المجتملة على معكوس الدوال المثلثية", "tokens": [45340, 25720, 9673, 46958, 10632, 9122, 8315, 39894, 24401, 12984, 8978, 8717, 47432, 3660, 28239, 19913, 2288, 10632, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 6055, 3555, 3615, 29538, 2423, 3541, 37037, 1829, 2423, 24239, 295, 17340, 35386, 266, 29470, 6828, 37495, 22653, 45030, 11242, 9673, 2655, 9566, 16758, 4587, 9307, 9673, 7435, 39237, 37977, 15844, 20449, 4117, 41779, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632], "avg_logprob": -0.1781939347000683, "compression_ratio": 1.489247311827957, "no_speech_prob": 0.0, "words": [{"start": 14.87, "end": 16.21, "word": "المرة", "probability": 0.736328125}, {"start": 16.21, "end": 16.89, "word": " الماضية", "probability": 0.9814453125}, {"start": 16.89, "end": 17.59, "word": " كنا", "probability": 0.9267578125}, {"start": 17.59, "end": 18.29, "word": " بتحدث", "probability": 0.704345703125}, {"start": 18.29, "end": 18.49, "word": " في", "probability": 0.76953125}, {"start": 18.49, "end": 19.05, "word": " نقطة", "probability": 0.9752604166666666}, {"start": 19.05, "end": 19.73, "word": " النظرية", "probability": 0.77392578125}, {"start": 19.73, "end": 20.27, "word": " رقم", "probability": 0.94873046875}, {"start": 20.27, "end": 20.81, "word": " اتنين", "probability": 0.8214111328125}, {"start": 20.81, "end": 21.23, "word": " تبع", "probability": 0.80517578125}, {"start": 21.23, "end": 21.73, "word": " هذه", "probability": 0.611328125}, {"start": 21.73, "end": 22.05, "word": " ال", "probability": 0.60888671875}, {"start": 22.05, "end": 22.51, "word": " section", "probability": 0.3193359375}, {"start": 22.51, "end": 23.53, "word": " وهي", "probability": 0.808837890625}, {"start": 23.53, "end": 23.67, "word": " ال", "probability": 0.7001953125}, {"start": 23.67, "end": 24.33, "word": " identities", "probability": 0.8193359375}, {"start": 24.33, "end": 25.05, "word": " of", "probability": 0.97705078125}, {"start": 25.05, "end": 25.75, "word": " inverse", "probability": 0.83984375}, {"start": 25.75, "end": 26.65, "word": " trigonometric", "probability": 0.78271484375}, {"start": 26.65, "end": 27.37, "word": " functions", "probability": 0.84033203125}, {"start": 27.37, "end": 28.05, "word": " يعني", "probability": 0.771728515625}, {"start": 28.05, "end": 28.43, "word": " بعض", "probability": 0.962646484375}, {"start": 28.43, "end": 29.77, "word": " المتطابقات", "probability": 0.9903157552083334}, {"start": 29.77, "end": 30.73, "word": " المجتملة", "probability": 0.971923828125}, {"start": 30.73, "end": 30.97, "word": " على", "probability": 0.91357421875}, {"start": 30.97, "end": 31.51, "word": " معكوس", "probability": 0.8447265625}, {"start": 31.51, "end": 32.29, "word": " الدوال", "probability": 0.96044921875}, {"start": 32.29, "end": 33.97, "word": " المثلثية", "probability": 0.95322265625}], "temperature": 1.0}, {"id": 3, "seek": 5743, "start": 34.19, "end": 57.43, "text": "واخدنا المرة الماضية مثالا واحدا اللى هو رسمة ال two functions الاولى كانت الى cosine inverse لسالب X والثانية كانت اتنين tan inverse لمين لسالب X وشوفنا كيف رسمناهم ننتقل لمثال رقم اتنين وهو هاتل القيمة الحقيقية لكل مما يأتي", "tokens": [2407, 47283, 3215, 8315, 9673, 25720, 9673, 46958, 10632, 50113, 6027, 995, 36764, 24401, 995, 13672, 7578, 31439, 12602, 38251, 3660, 2423, 732, 6828, 42963, 12610, 7578, 25961, 2655, 2423, 7578, 23565, 17340, 5296, 3794, 6027, 3555, 1783, 16070, 12984, 7649, 10632, 25961, 2655, 1975, 2655, 1863, 9957, 7603, 17340, 32767, 9957, 5296, 3794, 6027, 3555, 1783, 4032, 8592, 38688, 8315, 9122, 33911, 12602, 38251, 8315, 16095, 8717, 29399, 4587, 1211, 32767, 12984, 6027, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 37037, 2407, 8032, 9307, 1211, 25062, 32640, 3660, 21542, 38436, 4587, 10632, 5296, 28820, 3714, 15042, 7251, 10721, 31371], "avg_logprob": -0.21194306635620572, "compression_ratio": 1.824390243902439, "no_speech_prob": 0.0, "words": [{"start": 34.19, "end": 35.09, "word": "واخدنا", "probability": 0.711273193359375}, {"start": 35.09, "end": 35.43, "word": " المرة", "probability": 0.959228515625}, {"start": 35.43, "end": 35.89, "word": " الماضية", "probability": 0.9910481770833334}, {"start": 35.89, "end": 36.47, "word": " مثالا", "probability": 0.6537272135416666}, {"start": 36.47, "end": 37.03, "word": " واحدا", "probability": 0.93701171875}, {"start": 37.03, "end": 37.21, "word": " اللى", "probability": 0.4803466796875}, {"start": 37.21, "end": 37.37, "word": " هو", "probability": 0.67578125}, {"start": 37.37, "end": 38.07, "word": " رسمة", "probability": 0.8129069010416666}, {"start": 38.07, "end": 38.61, "word": " ال", "probability": 0.958984375}, {"start": 38.61, "end": 38.83, "word": " two", "probability": 0.40087890625}, {"start": 38.83, "end": 39.69, "word": " functions", "probability": 0.85595703125}, {"start": 39.69, "end": 40.61, "word": " الاولى", "probability": 0.8567708333333334}, {"start": 40.61, "end": 41.07, "word": " كانت", "probability": 0.95703125}, {"start": 41.07, "end": 41.23, "word": " الى", "probability": 0.24261474609375}, {"start": 41.23, "end": 41.67, "word": " cosine", "probability": 0.42626953125}, {"start": 41.67, "end": 42.47, "word": " inverse", "probability": 0.92236328125}, {"start": 42.47, "end": 43.13, "word": " لسالب", "probability": 0.7874755859375}, {"start": 43.13, "end": 43.45, "word": " X", "probability": 0.5244140625}, {"start": 43.45, "end": 44.45, "word": " والثانية", "probability": 0.7938232421875}, {"start": 44.45, "end": 44.87, "word": " كانت", "probability": 0.962158203125}, {"start": 44.87, "end": 45.49, "word": " اتنين", "probability": 0.873291015625}, {"start": 45.49, "end": 46.01, "word": " tan", "probability": 0.5712890625}, {"start": 46.01, "end": 46.73, "word": " inverse", "probability": 0.90478515625}, {"start": 46.73, "end": 47.33, "word": " لمين", "probability": 0.766845703125}, {"start": 47.33, "end": 48.25, "word": " لسالب", "probability": 0.9854736328125}, {"start": 48.25, "end": 48.49, "word": " X", "probability": 0.9775390625}, {"start": 48.49, "end": 49.03, "word": " وشوفنا", "probability": 0.901611328125}, {"start": 49.03, "end": 49.29, "word": " كيف", "probability": 0.9873046875}, {"start": 49.29, "end": 50.03, "word": " رسمناهم", "probability": 0.9539794921875}, {"start": 50.03, "end": 50.99, "word": " ننتقل", "probability": 0.9180908203125}, {"start": 50.99, "end": 51.55, "word": " لمثال", "probability": 0.7301432291666666}, {"start": 51.55, "end": 52.03, "word": " رقم", "probability": 0.9130859375}, {"start": 52.03, "end": 52.57, "word": " اتنين", "probability": 0.97509765625}, {"start": 52.57, "end": 53.43, "word": " وهو", "probability": 0.901611328125}, {"start": 53.43, "end": 53.91, "word": " هاتل", "probability": 0.7855631510416666}, {"start": 53.91, "end": 54.51, "word": " القيمة", "probability": 0.9451497395833334}, {"start": 54.51, "end": 55.53, "word": " الحقيقية", "probability": 0.9886474609375}, {"start": 55.53, "end": 56.13, "word": " لكل", "probability": 0.975830078125}, {"start": 56.13, "end": 56.79, "word": " مما", "probability": 0.967529296875}, {"start": 56.79, "end": 57.43, "word": " يأتي", "probability": 0.93798828125}], "temperature": 1.0}, {"id": 4, "seek": 7341, "start": 57.93, "end": 73.41, "text": "بنقدرش القيمة العددية للمقدار يعني لابد أشوف في المثل كتان ولا سين انفرس ولا سيك انفرس بدي أشوف هذا كله وإنما بدي قيمة محددة بسيطة جدا يبقى هذه كتان", "tokens": [3555, 1863, 28543, 2288, 8592, 25062, 32640, 3660, 18863, 3215, 3215, 10632, 5296, 19528, 28543, 9640, 37495, 22653, 5296, 16758, 3215, 5551, 8592, 38688, 8978, 9673, 12984, 1211, 9122, 2655, 7649, 49429, 8608, 9957, 16472, 5172, 2288, 3794, 49429, 8608, 1829, 4117, 16472, 5172, 2288, 3794, 4724, 16254, 5551, 8592, 38688, 23758, 28242, 3224, 4032, 28814, 1863, 15042, 4724, 16254, 12174, 32640, 3660, 3714, 24401, 41891, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 7251, 3555, 4587, 7578, 29538, 9122, 2655, 7649], "avg_logprob": -0.3144054954371801, "compression_ratio": 1.7516339869281046, "no_speech_prob": 0.0, "words": [{"start": 57.93, "end": 58.93, "word": "بنقدرش", "probability": 0.4052001953125}, {"start": 58.93, "end": 59.67, "word": " القيمة", "probability": 0.85302734375}, {"start": 59.67, "end": 60.25, "word": " العددية", "probability": 0.9425048828125}, {"start": 60.25, "end": 60.83, "word": " للمقدار", "probability": 0.7589111328125}, {"start": 60.83, "end": 61.13, "word": " يعني", "probability": 0.6134033203125}, {"start": 61.13, "end": 61.49, "word": " لابد", "probability": 0.7481282552083334}, {"start": 61.49, "end": 61.83, "word": " أشوف", "probability": 0.765869140625}, {"start": 61.83, "end": 61.91, "word": " في", "probability": 0.37646484375}, {"start": 61.91, "end": 62.35, "word": " المثل", "probability": 0.8043619791666666}, {"start": 62.35, "end": 63.19, "word": " كتان", "probability": 0.6829427083333334}, {"start": 63.19, "end": 63.81, "word": " ولا", "probability": 0.8974609375}, {"start": 63.81, "end": 64.23, "word": " سين", "probability": 0.41876220703125}, {"start": 64.23, "end": 64.73, "word": " انفرس", "probability": 0.82904052734375}, {"start": 64.73, "end": 64.97, "word": " ولا", "probability": 0.9501953125}, {"start": 64.97, "end": 65.41, "word": " سيك", "probability": 0.845703125}, {"start": 65.41, "end": 65.83, "word": " انفرس", "probability": 0.9532470703125}, {"start": 65.83, "end": 66.11, "word": " بدي", "probability": 0.39013671875}, {"start": 66.11, "end": 66.35, "word": " أشوف", "probability": 0.7928059895833334}, {"start": 66.35, "end": 66.51, "word": " هذا", "probability": 0.69091796875}, {"start": 66.51, "end": 66.85, "word": " كله", "probability": 0.85595703125}, {"start": 66.85, "end": 67.21, "word": " وإنما", "probability": 0.828857421875}, {"start": 67.21, "end": 67.49, "word": " بدي", "probability": 0.898681640625}, {"start": 67.49, "end": 68.13, "word": " قيمة", "probability": 0.9822591145833334}, {"start": 68.13, "end": 69.01, "word": " محددة", "probability": 0.9930013020833334}, {"start": 69.01, "end": 70.45, "word": " بسيطة", "probability": 0.80458984375}, {"start": 70.45, "end": 70.85, "word": " جدا", "probability": 0.970947265625}, {"start": 70.85, "end": 71.73, "word": " يبقى", "probability": 0.9136962890625}, {"start": 71.73, "end": 72.21, "word": " هذه", "probability": 0.5869140625}, {"start": 72.21, "end": 73.41, "word": " كتان", "probability": 0.98046875}], "temperature": 1.0}, {"id": 5, "seek": 9273, "start": 74.77, "end": 92.73, "text": "المرة الماضية المتطابقة على الرقم 2 قلنا ان sin inverse x هي عبارة عن odd function يبقى السالب يخرج من ال function يبقى هذا بقدر اقول سالب sin inverse لنص", "tokens": [45340, 25720, 9673, 46958, 10632, 9673, 2655, 9566, 16758, 28671, 15844, 34892, 4587, 2304, 568, 12174, 1211, 8315, 16472, 3343, 17340, 2031, 39896, 6225, 3555, 9640, 3660, 18871, 7401, 2445, 7251, 3555, 4587, 7578, 21136, 6027, 3555, 7251, 34740, 7435, 9154, 2423, 2445, 7251, 3555, 4587, 7578, 23758, 4724, 28543, 2288, 1975, 39648, 8608, 6027, 3555, 3343, 17340, 5296, 1863, 9381], "avg_logprob": -0.36794353492798343, "compression_ratio": 1.5555555555555556, "no_speech_prob": 0.0, "words": [{"start": 74.77, "end": 75.89, "word": "المرة", "probability": 0.486083984375}, {"start": 75.89, "end": 76.53, "word": " الماضية", "probability": 0.78564453125}, {"start": 76.53, "end": 77.31, "word": " المتطابقة", "probability": 0.8271484375}, {"start": 77.31, "end": 77.51, "word": " على", "probability": 0.619140625}, {"start": 77.51, "end": 78.09, "word": " الرقم", "probability": 0.9381510416666666}, {"start": 78.09, "end": 78.55, "word": " 2", "probability": 0.81005859375}, {"start": 78.55, "end": 79.07, "word": " قلنا", "probability": 0.6913248697916666}, {"start": 79.07, "end": 79.35, "word": " ان", "probability": 0.71044921875}, {"start": 79.35, "end": 79.93, "word": " sin", "probability": 0.126953125}, {"start": 79.93, "end": 80.63, "word": " inverse", "probability": 0.74169921875}, {"start": 80.63, "end": 81.01, "word": " x", "probability": 0.369140625}, {"start": 81.01, "end": 81.29, "word": " هي", "probability": 0.767578125}, {"start": 81.29, "end": 81.75, "word": " عبارة", "probability": 0.9605712890625}, {"start": 81.75, "end": 82.01, "word": " عن", "probability": 0.98681640625}, {"start": 82.01, "end": 82.55, "word": " odd", "probability": 0.5517578125}, {"start": 82.55, "end": 83.81, "word": " function", "probability": 0.92236328125}, {"start": 83.81, "end": 84.21, "word": " يبقى", "probability": 0.846923828125}, {"start": 84.21, "end": 84.91, "word": " السالب", "probability": 0.6766764322916666}, {"start": 84.91, "end": 85.83, "word": " يخرج", "probability": 0.7511393229166666}, {"start": 85.83, "end": 86.33, "word": " من", "probability": 0.94287109375}, {"start": 86.33, "end": 86.95, "word": " ال", "probability": 0.467041015625}, {"start": 86.95, "end": 87.45, "word": " function", "probability": 0.330078125}, {"start": 87.45, "end": 88.37, "word": " يبقى", "probability": 0.888671875}, {"start": 88.37, "end": 88.63, "word": " هذا", "probability": 0.90625}, {"start": 88.63, "end": 89.11, "word": " بقدر", "probability": 0.5927734375}, {"start": 89.11, "end": 89.41, "word": " اقول", "probability": 0.8154296875}, {"start": 89.41, "end": 90.23, "word": " سالب", "probability": 0.7646484375}, {"start": 90.23, "end": 90.89, "word": " sin", "probability": 0.853515625}, {"start": 90.89, "end": 91.91, "word": " inverse", "probability": 0.912109375}, {"start": 91.91, "end": 92.73, "word": " لنص", "probability": 0.8610026041666666}], "temperature": 1.0}, {"id": 6, "seek": 11367, "start": 95.73, "end": 113.67, "text": "الطلال المتطابق الرقم تلاتة رقم تلاتة لتلت نقاط النقطة الأولى في رقم تلاتة كانت six inverse x تساوي cosine inverse واحد على x وبشرط ان ال x greater than one", "tokens": [6027, 9566, 1211, 6027, 9673, 2655, 9566, 16758, 4587, 34892, 4587, 2304, 6055, 1211, 9307, 3660, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 5296, 2655, 1211, 2655, 8717, 4587, 41193, 28239, 47432, 3660, 16247, 12610, 7578, 8978, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 25961, 2655, 2309, 17340, 2031, 6055, 3794, 995, 45865, 23565, 17340, 36764, 24401, 15844, 2031, 46599, 46309, 9566, 16472, 2423, 2031, 5044, 813, 472], "avg_logprob": -0.23052536922952402, "compression_ratio": 1.5677419354838709, "no_speech_prob": 0.0, "words": [{"start": 95.73, "end": 96.45, "word": "الطلال", "probability": 0.7635498046875}, {"start": 96.45, "end": 97.45, "word": " المتطابق", "probability": 0.89287109375}, {"start": 97.45, "end": 98.29, "word": " الرقم", "probability": 0.77001953125}, {"start": 98.29, "end": 99.11, "word": " تلاتة", "probability": 0.7969970703125}, {"start": 99.11, "end": 99.69, "word": " رقم", "probability": 0.7623697916666666}, {"start": 99.69, "end": 100.29, "word": " تلاتة", "probability": 0.9605712890625}, {"start": 100.29, "end": 100.89, "word": " لتلت", "probability": 0.75244140625}, {"start": 100.89, "end": 101.39, "word": " نقاط", "probability": 0.9602864583333334}, {"start": 101.39, "end": 101.95, "word": " النقطة", "probability": 0.9404296875}, {"start": 101.95, "end": 102.33, "word": " الأولى", "probability": 0.9617513020833334}, {"start": 102.33, "end": 102.45, "word": " في", "probability": 0.82763671875}, {"start": 102.45, "end": 103.05, "word": " رقم", "probability": 0.9558919270833334}, {"start": 103.05, "end": 103.79, "word": " تلاتة", "probability": 0.9781494140625}, {"start": 103.79, "end": 104.75, "word": " كانت", "probability": 0.915771484375}, {"start": 104.75, "end": 105.19, "word": " six", "probability": 0.05291748046875}, {"start": 105.19, "end": 105.95, "word": " inverse", "probability": 0.861328125}, {"start": 105.95, "end": 106.35, "word": " x", "probability": 0.59619140625}, {"start": 106.35, "end": 107.27, "word": " تساوي", "probability": 0.8541259765625}, {"start": 107.27, "end": 108.59, "word": " cosine", "probability": 0.65576171875}, {"start": 108.59, "end": 109.27, "word": " inverse", "probability": 0.90869140625}, {"start": 109.27, "end": 110.01, "word": " واحد", "probability": 0.92529296875}, {"start": 110.01, "end": 110.59, "word": " على", "probability": 0.83740234375}, {"start": 110.59, "end": 110.89, "word": " x", "probability": 0.841796875}, {"start": 110.89, "end": 111.45, "word": " وبشرط", "probability": 0.83935546875}, {"start": 111.45, "end": 111.59, "word": " ان", "probability": 0.42333984375}, {"start": 111.59, "end": 111.71, "word": " ال", "probability": 0.88134765625}, {"start": 111.71, "end": 111.99, "word": " x", "probability": 0.5185546875}, {"start": 111.99, "end": 112.57, "word": " greater", "probability": 0.62744140625}, {"start": 112.57, "end": 113.19, "word": " than", "probability": 0.94384765625}, {"start": 113.19, "end": 113.67, "word": " one", "probability": 0.8359375}], "temperature": 1.0}, {"id": 7, "seek": 13247, "start": 113.92, "end": 132.48, "text": "أكبر من الواحد الصحيح او تساوي اذا عندي اتنين اكبر من الواحد الصحيح اذا بقدر اشيل هذه و اكتب cosine inverse واحد على اتنين يعني cosine inverse نص يبقى هذه cosine inverse لنص بالشكل اللي عندنا هذا", "tokens": [10721, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 1975, 2407, 6055, 3794, 995, 45865, 1975, 15730, 18871, 16254, 1975, 2655, 1863, 9957, 1975, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 1975, 15730, 4724, 28543, 2288, 1975, 8592, 26895, 29538, 4032, 1975, 4117, 2655, 3555, 23565, 17340, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 37495, 22653, 23565, 17340, 8717, 9381, 7251, 3555, 4587, 7578, 29538, 23565, 17340, 5296, 1863, 9381, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.17447916453792936, "compression_ratio": 1.8975903614457832, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 113.92, "end": 114.7, "word": "أكبر", "probability": 0.6376546223958334}, {"start": 114.7, "end": 114.9, "word": " من", "probability": 0.951171875}, {"start": 114.9, "end": 115.18, "word": " الواحد", "probability": 0.9462890625}, {"start": 115.18, "end": 115.48, "word": " الصحيح", "probability": 0.9490966796875}, {"start": 115.48, "end": 115.78, "word": " او", "probability": 0.73828125}, {"start": 115.78, "end": 116.36, "word": " تساوي", "probability": 0.8533935546875}, {"start": 116.36, "end": 117.18, "word": " اذا", "probability": 0.76611328125}, {"start": 117.18, "end": 117.8, "word": " عندي", "probability": 0.5697021484375}, {"start": 117.8, "end": 118.62, "word": " اتنين", "probability": 0.901123046875}, {"start": 118.62, "end": 119.1, "word": " اكبر", "probability": 0.92626953125}, {"start": 119.1, "end": 119.26, "word": " من", "probability": 0.98974609375}, {"start": 119.26, "end": 119.62, "word": " الواحد", "probability": 0.8839518229166666}, {"start": 119.62, "end": 120.26, "word": " الصحيح", "probability": 0.9912109375}, {"start": 120.26, "end": 120.8, "word": " اذا", "probability": 0.831787109375}, {"start": 120.8, "end": 121.2, "word": " بقدر", "probability": 0.9373372395833334}, {"start": 121.2, "end": 121.52, "word": " اشيل", "probability": 0.8805338541666666}, {"start": 121.52, "end": 121.76, "word": " هذه", "probability": 0.62451171875}, {"start": 121.76, "end": 121.88, "word": " و", "probability": 0.8642578125}, {"start": 121.88, "end": 122.22, "word": " اكتب", "probability": 0.9130859375}, {"start": 122.22, "end": 122.84, "word": " cosine", "probability": 0.71533203125}, {"start": 122.84, "end": 123.7, "word": " inverse", "probability": 0.90478515625}, {"start": 123.7, "end": 124.52, "word": " واحد", "probability": 0.90576171875}, {"start": 124.52, "end": 124.76, "word": " على", "probability": 0.544921875}, {"start": 124.76, "end": 125.1, "word": " اتنين", "probability": 0.976318359375}, {"start": 125.1, "end": 125.4, "word": " يعني", "probability": 0.937255859375}, {"start": 125.4, "end": 125.98, "word": " cosine", "probability": 0.50341796875}, {"start": 125.98, "end": 126.84, "word": " inverse", "probability": 0.9384765625}, {"start": 126.84, "end": 127.3, "word": " نص", "probability": 0.95947265625}, {"start": 127.3, "end": 128.32, "word": " يبقى", "probability": 0.9599609375}, {"start": 128.32, "end": 128.64, "word": " هذه", "probability": 0.80126953125}, {"start": 128.64, "end": 129.3, "word": " cosine", "probability": 0.79736328125}, {"start": 129.3, "end": 130.4, "word": " inverse", "probability": 0.91357421875}, {"start": 130.4, "end": 131.14, "word": " لنص", "probability": 0.8190104166666666}, {"start": 131.14, "end": 131.68, "word": " بالشكل", "probability": 0.9554036458333334}, {"start": 131.68, "end": 131.84, "word": " اللي", "probability": 0.9130859375}, {"start": 131.84, "end": 132.24, "word": " عندنا", "probability": 0.927978515625}, {"start": 132.24, "end": 132.48, "word": " هذا", "probability": 0.83447265625}], "temperature": 1.0}, {"id": 8, "seek": 15563, "start": 133.23, "end": 155.63, "text": "هذا الكلام بده يساوي كتان بدنا ناخد سالب عام المشترك بيطلع عندنا مين اللي هو sin inverse نص زائد cosine inverse نص بالشكل اللي عندنا هذا ويساوي كتان لسالب أبصر قداشر طلعلي المقدار هذا بين القوسين", "tokens": [3224, 15730, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 9122, 2655, 7649, 47525, 8315, 8717, 47283, 3215, 8608, 6027, 3555, 6225, 10943, 9673, 8592, 2655, 31747, 4724, 1829, 9566, 1211, 3615, 43242, 8315, 3714, 9957, 13672, 1829, 31439, 3343, 17340, 8717, 9381, 30767, 16373, 3215, 23565, 17340, 8717, 9381, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 4032, 1829, 3794, 995, 45865, 9122, 2655, 7649, 5296, 3794, 6027, 3555, 5551, 3555, 9381, 2288, 12174, 3215, 33599, 2288, 23032, 1211, 3615, 20292, 9673, 28543, 9640, 23758, 49374, 25062, 41779, 9957], "avg_logprob": -0.22367527222503786, "compression_ratio": 1.8241758241758241, "no_speech_prob": 0.0, "words": [{"start": 133.23, "end": 133.71, "word": "هذا", "probability": 0.76416015625}, {"start": 133.71, "end": 134.15, "word": " الكلام", "probability": 0.8966471354166666}, {"start": 134.15, "end": 134.53, "word": " بده", "probability": 0.421875}, {"start": 134.53, "end": 135.17, "word": " يساوي", "probability": 0.9610595703125}, {"start": 135.17, "end": 136.21, "word": " كتان", "probability": 0.86962890625}, {"start": 136.21, "end": 137.39, "word": " بدنا", "probability": 0.4311981201171875}, {"start": 137.39, "end": 137.69, "word": " ناخد", "probability": 0.97119140625}, {"start": 137.69, "end": 138.17, "word": " سالب", "probability": 0.8312174479166666}, {"start": 138.17, "end": 138.45, "word": " عام", "probability": 0.98388671875}, {"start": 138.45, "end": 139.23, "word": " المشترك", "probability": 0.9688720703125}, {"start": 139.23, "end": 139.77, "word": " بيطلع", "probability": 0.854833984375}, {"start": 139.77, "end": 140.15, "word": " عندنا", "probability": 0.7470703125}, {"start": 140.15, "end": 140.37, "word": " مين", "probability": 0.7626953125}, {"start": 140.37, "end": 140.75, "word": " اللي", "probability": 0.68505859375}, {"start": 140.75, "end": 140.93, "word": " هو", "probability": 0.9638671875}, {"start": 140.93, "end": 141.47, "word": " sin", "probability": 0.455810546875}, {"start": 141.47, "end": 142.39, "word": " inverse", "probability": 0.7958984375}, {"start": 142.39, "end": 142.99, "word": " نص", "probability": 0.875244140625}, {"start": 142.99, "end": 144.13, "word": " زائد", "probability": 0.8330078125}, {"start": 144.13, "end": 144.87, "word": " cosine", "probability": 0.5556640625}, {"start": 144.87, "end": 145.87, "word": " inverse", "probability": 0.88525390625}, {"start": 145.87, "end": 146.41, "word": " نص", "probability": 0.99365234375}, {"start": 146.41, "end": 147.03, "word": " بالشكل", "probability": 0.8885091145833334}, {"start": 147.03, "end": 147.21, "word": " اللي", "probability": 0.963134765625}, {"start": 147.21, "end": 147.65, "word": " عندنا", "probability": 0.9716796875}, {"start": 147.65, "end": 148.03, "word": " هذا", "probability": 0.9375}, {"start": 148.03, "end": 149.33, "word": " ويساوي", "probability": 0.9216796875}, {"start": 149.33, "end": 149.97, "word": " كتان", "probability": 0.9923502604166666}, {"start": 149.97, "end": 150.51, "word": " لسالب", "probability": 0.7733154296875}, {"start": 150.51, "end": 150.83, "word": " أبصر", "probability": 0.74462890625}, {"start": 150.83, "end": 151.63, "word": " قداشر", "probability": 0.62384033203125}, {"start": 151.63, "end": 152.69, "word": " طلعلي", "probability": 0.739990234375}, {"start": 152.69, "end": 153.57, "word": " المقدار", "probability": 0.7623697916666666}, {"start": 153.57, "end": 154.05, "word": " هذا", "probability": 0.92626953125}, {"start": 154.05, "end": 154.53, "word": " بين", "probability": 0.98583984375}, {"start": 154.53, "end": 155.63, "word": " القوسين", "probability": 0.94482421875}], "temperature": 1.0}, {"id": 9, "seek": 18161, "start": 156.33, "end": 181.61, "text": "هل المص في domain الـsin inverse وفي domain الـcos inverse؟ صحيح لأن ال domain تبعهم من سالب واحد إلى واحد، إذا فعلا طبقا للمتطابق الأولى، هذا الكلام بيساوي جداش باي على اتنين، يبقى سالب باي على اتنين ويساوي.بنرجع لك القلص إيه؟ ال cotan even ولا الot؟", "tokens": [3224, 1211, 9673, 9381, 8978, 9274, 2423, 39184, 19767, 17340, 4032, 41185, 9274, 2423, 39184, 6877, 17340, 22807, 20328, 5016, 1829, 5016, 5296, 33456, 2423, 9274, 6055, 3555, 3615, 16095, 9154, 8608, 6027, 3555, 36764, 24401, 30731, 36764, 24401, 12399, 11933, 15730, 6156, 3615, 15040, 23032, 3555, 4587, 995, 5296, 19528, 2655, 9566, 16758, 4587, 16247, 12610, 7578, 12399, 23758, 2423, 28820, 10943, 4724, 1829, 3794, 995, 45865, 10874, 3215, 33599, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 12399, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 4032, 1829, 3794, 995, 45865, 13, 3555, 1863, 47341, 3615, 5296, 4117, 25062, 1211, 9381, 11933, 1829, 3224, 22807, 2423, 26529, 282, 754, 49429, 2423, 310, 22807], "avg_logprob": -0.31456610388007045, "compression_ratio": 1.7543103448275863, "no_speech_prob": 0.0, "words": [{"start": 156.33, "end": 156.79, "word": "هل", "probability": 0.926513671875}, {"start": 156.79, "end": 157.33, "word": " المص", "probability": 0.755126953125}, {"start": 157.33, "end": 157.55, "word": " في", "probability": 0.68115234375}, {"start": 157.55, "end": 157.93, "word": " domain", "probability": 0.8173828125}, {"start": 157.93, "end": 158.47, "word": " الـsin", "probability": 0.4015706380208333}, {"start": 158.47, "end": 159.05, "word": " inverse", "probability": 0.5849609375}, {"start": 159.05, "end": 159.43, "word": " وفي", "probability": 0.856201171875}, {"start": 159.43, "end": 159.83, "word": " domain", "probability": 0.9541015625}, {"start": 159.83, "end": 160.23, "word": " الـcos", "probability": 0.8019205729166666}, {"start": 160.23, "end": 161.19, "word": " inverse؟", "probability": 0.605712890625}, {"start": 161.19, "end": 161.91, "word": " صحيح", "probability": 0.9581298828125}, {"start": 161.91, "end": 162.25, "word": " لأن", "probability": 0.717041015625}, {"start": 162.25, "end": 162.43, "word": " ال", "probability": 0.71337890625}, {"start": 162.43, "end": 162.73, "word": " domain", "probability": 0.96533203125}, {"start": 162.73, "end": 163.23, "word": " تبعهم", "probability": 0.751434326171875}, {"start": 163.23, "end": 163.43, "word": " من", "probability": 0.9775390625}, {"start": 163.43, "end": 163.79, "word": " سالب", "probability": 0.7294108072916666}, {"start": 163.79, "end": 164.19, "word": " واحد", "probability": 0.94189453125}, {"start": 164.19, "end": 164.43, "word": " إلى", "probability": 0.8583984375}, {"start": 164.43, "end": 165.01, "word": " واحد،", "probability": 0.8297526041666666}, {"start": 165.01, "end": 165.49, "word": " إذا", "probability": 0.758544921875}, {"start": 165.49, "end": 166.09, "word": " فعلا", "probability": 0.9347330729166666}, {"start": 166.09, "end": 166.85, "word": " طبقا", "probability": 0.82086181640625}, {"start": 166.85, "end": 167.73, "word": " للمتطابق", "probability": 0.9156901041666666}, {"start": 167.73, "end": 168.31, "word": " الأولى،", "probability": 0.752685546875}, {"start": 168.31, "end": 168.31, "word": " هذا", "probability": 0.409912109375}, {"start": 168.31, "end": 168.59, "word": " الكلام", "probability": 0.8424479166666666}, {"start": 168.59, "end": 168.95, "word": " بيساوي", "probability": 0.777734375}, {"start": 168.95, "end": 169.63, "word": " جداش", "probability": 0.4745279947916667}, {"start": 169.63, "end": 170.31, "word": " باي", "probability": 0.4893798828125}, {"start": 170.31, "end": 170.59, "word": " على", "probability": 0.83203125}, {"start": 170.59, "end": 171.09, "word": " اتنين،", "probability": 0.885546875}, {"start": 171.09, "end": 171.71, "word": " يبقى", "probability": 0.9609375}, {"start": 171.71, "end": 172.43, "word": " سالب", "probability": 0.9427083333333334}, {"start": 172.43, "end": 173.21, "word": " باي", "probability": 0.810546875}, {"start": 173.21, "end": 174.15, "word": " على", "probability": 0.9130859375}, {"start": 174.15, "end": 174.91, "word": " اتنين", "probability": 0.9791259765625}, {"start": 174.91, "end": 175.63, "word": " ويساوي", "probability": 0.841796875}, {"start": 175.63, "end": 177.59, "word": ".بنرجع", "probability": 0.6335693359375}, {"start": 177.59, "end": 177.85, "word": " لك", "probability": 0.76513671875}, {"start": 177.85, "end": 178.45, "word": " القلص", "probability": 0.6676432291666666}, {"start": 178.45, "end": 178.93, "word": " إيه؟", "probability": 0.7054443359375}, {"start": 178.93, "end": 179.11, "word": " ال", "probability": 0.75048828125}, {"start": 179.11, "end": 179.61, "word": " cotan", "probability": 0.37823486328125}, {"start": 179.61, "end": 179.93, "word": " even", "probability": 0.51171875}, {"start": 179.93, "end": 180.25, "word": " ولا", "probability": 0.755859375}, {"start": 180.25, "end": 181.61, "word": " الot؟", "probability": 0.5203857421875}], "temperature": 1.0}, {"id": 10, "seek": 21136, "start": 182.86, "end": 211.36, "text": "أد ممتاز جدا الدوالي المتلاتية الستتين تين كانوا even اللي هي cosine ال X هو مقلبها اللي هو second X وباقى الأربع نسب اد تمام يبقى هذه اد إذا السالب برا سالب كتان باي على اتنين كتان باي على اتنين طبعا مقدرش ب zero إذا المقدار كله هذا اللي عندنا بده يساوي مين؟ بده يساوي Zero", "tokens": [10721, 3215, 3714, 2304, 2655, 31377, 10874, 28259, 32748, 2407, 6027, 1829, 9673, 2655, 1211, 9307, 10632, 2423, 14851, 2655, 9957, 6055, 9957, 25961, 14407, 754, 13672, 1829, 39896, 23565, 2423, 1783, 31439, 3714, 4587, 46152, 11296, 13672, 1829, 31439, 1150, 1783, 46599, 995, 4587, 7578, 16247, 25513, 3615, 8717, 35457, 1975, 3215, 46811, 10943, 7251, 3555, 4587, 7578, 29538, 1975, 3215, 11933, 15730, 21136, 6027, 3555, 4724, 23557, 8608, 6027, 3555, 9122, 2655, 7649, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 9122, 2655, 7649, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 23032, 3555, 3615, 995, 3714, 28543, 2288, 8592, 4724, 4018, 11933, 15730, 9673, 28543, 9640, 28242, 3224, 23758, 13672, 1829, 43242, 8315, 47525, 3224, 7251, 3794, 995, 45865, 3714, 9957, 22807, 47525, 3224, 7251, 3794, 995, 45865, 17182], "avg_logprob": -0.3101145038167939, "compression_ratio": 1.9139344262295082, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 182.86, "end": 183.38, "word": "أد", "probability": 0.179046630859375}, {"start": 183.38, "end": 183.92, "word": " ممتاز", "probability": 0.7906494140625}, {"start": 183.92, "end": 184.18, "word": " جدا", "probability": 0.722412109375}, {"start": 184.18, "end": 184.84, "word": " الدوالي", "probability": 0.72186279296875}, {"start": 184.84, "end": 185.56, "word": " المتلاتية", "probability": 0.841796875}, {"start": 185.56, "end": 186.4, "word": " الستتين", "probability": 0.6500244140625}, {"start": 186.4, "end": 187.0, "word": " تين", "probability": 0.55322265625}, {"start": 187.0, "end": 187.9, "word": " كانوا", "probability": 0.849365234375}, {"start": 187.9, "end": 188.26, "word": " even", "probability": 0.56396484375}, {"start": 188.26, "end": 188.54, "word": " اللي", "probability": 0.5714111328125}, {"start": 188.54, "end": 188.78, "word": " هي", "probability": 0.52197265625}, {"start": 188.78, "end": 189.24, "word": " cosine", "probability": 0.625}, {"start": 189.24, "end": 189.5, "word": " ال", "probability": 0.54248046875}, {"start": 189.5, "end": 189.74, "word": " X", "probability": 0.6103515625}, {"start": 189.74, "end": 190.0, "word": " هو", "probability": 0.441162109375}, {"start": 190.0, "end": 191.22, "word": " مقلبها", "probability": 0.8885498046875}, {"start": 191.22, "end": 191.88, "word": " اللي", "probability": 0.9501953125}, {"start": 191.88, "end": 192.34, "word": " هو", "probability": 0.94775390625}, {"start": 192.34, "end": 192.98, "word": " second", "probability": 0.796875}, {"start": 192.98, "end": 193.44, "word": " X", "probability": 0.9345703125}, {"start": 193.44, "end": 193.86, "word": " وباقى", "probability": 0.66534423828125}, {"start": 193.86, "end": 194.26, "word": " الأربع", "probability": 0.8391927083333334}, {"start": 194.26, "end": 194.84, "word": " نسب", "probability": 0.98193359375}, {"start": 194.84, "end": 195.82, "word": " اد", "probability": 0.571044921875}, {"start": 195.82, "end": 196.36, "word": " تمام", "probability": 0.92041015625}, {"start": 196.36, "end": 196.76, "word": " يبقى", "probability": 0.97509765625}, {"start": 196.76, "end": 197.12, "word": " هذه", "probability": 0.413818359375}, {"start": 197.12, "end": 197.6, "word": " اد", "probability": 0.870849609375}, {"start": 197.6, "end": 198.14, "word": " إذا", "probability": 0.6669921875}, {"start": 198.14, "end": 198.82, "word": " السالب", "probability": 0.8084309895833334}, {"start": 198.82, "end": 199.22, "word": " برا", "probability": 0.77587890625}, {"start": 199.22, "end": 199.92, "word": " سالب", "probability": 0.9031575520833334}, {"start": 199.92, "end": 200.62, "word": " كتان", "probability": 0.6337076822916666}, {"start": 200.62, "end": 201.14, "word": " باي", "probability": 0.61669921875}, {"start": 201.14, "end": 201.74, "word": " على", "probability": 0.8203125}, {"start": 201.74, "end": 202.3, "word": " اتنين", "probability": 0.96044921875}, {"start": 202.3, "end": 203.08, "word": " كتان", "probability": 0.9479166666666666}, {"start": 203.08, "end": 203.3, "word": " باي", "probability": 0.819580078125}, {"start": 203.3, "end": 203.44, "word": " على", "probability": 0.86669921875}, {"start": 203.44, "end": 203.7, "word": " اتنين", "probability": 0.9769287109375}, {"start": 203.7, "end": 204.06, "word": " طبعا", "probability": 0.9627685546875}, {"start": 204.06, "end": 205.02, "word": " مقدرش", "probability": 0.69110107421875}, {"start": 205.02, "end": 205.42, "word": " ب", "probability": 0.7880859375}, {"start": 205.42, "end": 205.92, "word": " zero", "probability": 0.25244140625}, {"start": 205.92, "end": 206.58, "word": " إذا", "probability": 0.9404296875}, {"start": 206.58, "end": 207.3, "word": " المقدار", "probability": 0.89794921875}, {"start": 207.3, "end": 207.74, "word": " كله", "probability": 0.76708984375}, {"start": 207.74, "end": 207.98, "word": " هذا", "probability": 0.8515625}, {"start": 207.98, "end": 208.12, "word": " اللي", "probability": 0.975341796875}, {"start": 208.12, "end": 208.42, "word": " عندنا", "probability": 0.947509765625}, {"start": 208.42, "end": 208.68, "word": " بده", "probability": 0.582763671875}, {"start": 208.68, "end": 209.02, "word": " يساوي", "probability": 0.8878173828125}, {"start": 209.02, "end": 209.76, "word": " مين؟", "probability": 0.6114095052083334}, {"start": 209.76, "end": 210.12, "word": " بده", "probability": 0.87646484375}, {"start": 210.12, "end": 210.8, "word": " يساوي", "probability": 0.9815673828125}, {"start": 210.8, "end": 211.36, "word": " Zero", "probability": 0.421630859375}], "temperature": 1.0}, {"id": 11, "seek": 22641, "start": 211.95, "end": 226.41, "text": "ناخد النقطة التانية نمرا بي يبقى نمرا بي بد مقدش قيمة سك لمين لتان inverse سالب تلاتة", "tokens": [1863, 47283, 3215, 28239, 47432, 3660, 16712, 7649, 10632, 8717, 2304, 23557, 4724, 1829, 7251, 3555, 4587, 7578, 8717, 2304, 23557, 4724, 1829, 47525, 3714, 28543, 8592, 12174, 32640, 3660, 8608, 4117, 32767, 9957, 5296, 2655, 7649, 17340, 8608, 6027, 3555, 6055, 1211, 9307, 3660], "avg_logprob": -0.2573029988485834, "compression_ratio": 1.3738317757009346, "no_speech_prob": 0.0, "words": [{"start": 211.95, "end": 212.83, "word": "ناخد", "probability": 0.5952555338541666}, {"start": 212.83, "end": 213.59, "word": " النقطة", "probability": 0.8528645833333334}, {"start": 213.59, "end": 213.95, "word": " التانية", "probability": 0.97802734375}, {"start": 213.95, "end": 214.43, "word": " نمرا", "probability": 0.4973958333333333}, {"start": 214.43, "end": 214.81, "word": " بي", "probability": 0.880615234375}, {"start": 214.81, "end": 215.99, "word": " يبقى", "probability": 0.80712890625}, {"start": 215.99, "end": 216.53, "word": " نمرا", "probability": 0.8846028645833334}, {"start": 216.53, "end": 217.03, "word": " بي", "probability": 0.9580078125}, {"start": 217.03, "end": 217.59, "word": " بد", "probability": 0.5791015625}, {"start": 217.59, "end": 218.33, "word": " مقدش", "probability": 0.6725260416666666}, {"start": 218.33, "end": 219.29, "word": " قيمة", "probability": 0.9943033854166666}, {"start": 219.29, "end": 220.17, "word": " سك", "probability": 0.4766845703125}, {"start": 220.17, "end": 221.49, "word": " لمين", "probability": 0.846435546875}, {"start": 221.49, "end": 223.05, "word": " لتان", "probability": 0.9772135416666666}, {"start": 223.05, "end": 224.27, "word": " inverse", "probability": 0.861328125}, {"start": 224.27, "end": 225.53, "word": " سالب", "probability": 0.9075520833333334}, {"start": 225.53, "end": 226.41, "word": " تلاتة", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 12, "seek": 25792, "start": 231.74, "end": 257.92, "text": "طب كويس لان انا لا اعرف قداش القيمة العددية لهذا المقال يعني لا بد اشوف سك ولا تان انفرس في المثلة بيقولوا بسيطة جدا هذا الكلام بد يسوي سك الان تان انفرس من النقطة تانية للمرة اللي فاتقل قد يبقى مادام قد السلب معله يطلع برا تان انفرس يبقى هاي سالب تان انفرس ليه تلاتة", "tokens": [9566, 3555, 9122, 45865, 3794, 5296, 7649, 1975, 8315, 20193, 1975, 3615, 28480, 12174, 3215, 33599, 25062, 32640, 3660, 18863, 3215, 3215, 10632, 46740, 15730, 9673, 4587, 6027, 37495, 22653, 20193, 47525, 1975, 8592, 38688, 8608, 4117, 49429, 6055, 7649, 16472, 5172, 2288, 3794, 8978, 9673, 12984, 37977, 4724, 1829, 39648, 14407, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 23758, 2423, 28820, 10943, 47525, 7251, 3794, 45865, 8608, 4117, 2423, 7649, 6055, 7649, 16472, 5172, 2288, 3794, 9154, 28239, 47432, 3660, 6055, 7649, 10632, 5296, 19528, 25720, 13672, 1829, 6156, 9307, 4587, 1211, 12174, 3215, 7251, 3555, 4587, 7578, 3714, 18513, 10943, 12174, 3215, 21136, 46152, 20449, 43761, 7251, 9566, 1211, 3615, 4724, 23557, 6055, 7649, 16472, 5172, 2288, 3794, 7251, 3555, 4587, 7578, 8032, 47302, 8608, 6027, 3555, 6055, 7649, 16472, 5172, 2288, 3794, 32239, 3224, 6055, 1211, 9307, 3660], "avg_logprob": -0.3142605703061735, "compression_ratio": 2.171945701357466, "no_speech_prob": 0.0, "words": [{"start": 231.74, "end": 232.0, "word": "طب", "probability": 0.503143310546875}, {"start": 232.0, "end": 232.58, "word": " كويس", "probability": 0.7600911458333334}, {"start": 232.58, "end": 232.86, "word": " لان", "probability": 0.458740234375}, {"start": 232.86, "end": 233.08, "word": " انا", "probability": 0.7978515625}, {"start": 233.08, "end": 233.08, "word": " لا", "probability": 0.27880859375}, {"start": 233.08, "end": 233.12, "word": " اعرف", "probability": 0.8037109375}, {"start": 233.12, "end": 233.5, "word": " قداش", "probability": 0.5901692708333334}, {"start": 233.5, "end": 234.02, "word": " القيمة", "probability": 0.9013671875}, {"start": 234.02, "end": 234.58, "word": " العددية", "probability": 0.925048828125}, {"start": 234.58, "end": 234.9, "word": " لهذا", "probability": 0.741455078125}, {"start": 234.9, "end": 235.18, "word": " المقال", "probability": 0.6763509114583334}, {"start": 235.18, "end": 235.52, "word": " يعني", "probability": 0.740966796875}, {"start": 235.52, "end": 235.66, "word": " لا", "probability": 0.5361328125}, {"start": 235.66, "end": 235.84, "word": " بد", "probability": 0.7080078125}, {"start": 235.84, "end": 236.18, "word": " اشوف", "probability": 0.7593587239583334}, {"start": 236.18, "end": 236.6, "word": " سك", "probability": 0.46734619140625}, {"start": 236.6, "end": 237.32, "word": " ولا", "probability": 0.8046875}, {"start": 237.32, "end": 237.8, "word": " تان", "probability": 0.60003662109375}, {"start": 237.8, "end": 238.38, "word": " انفرس", "probability": 0.7686767578125}, {"start": 238.38, "end": 238.52, "word": " في", "probability": 0.6650390625}, {"start": 238.52, "end": 239.06, "word": " المثلة", "probability": 0.7107340494791666}, {"start": 239.06, "end": 239.5, "word": " بيقولوا", "probability": 0.518310546875}, {"start": 239.5, "end": 240.04, "word": " بسيطة", "probability": 0.96728515625}, {"start": 240.04, "end": 240.36, "word": " جدا", "probability": 0.993896484375}, {"start": 240.36, "end": 241.24, "word": " هذا", "probability": 0.83740234375}, {"start": 241.24, "end": 241.84, "word": " الكلام", "probability": 0.97119140625}, {"start": 241.84, "end": 242.1, "word": " بد", "probability": 0.75390625}, {"start": 242.1, "end": 242.76, "word": " يسوي", "probability": 0.7036946614583334}, {"start": 242.76, "end": 243.48, "word": " سك", "probability": 0.7235107421875}, {"start": 243.48, "end": 244.88, "word": " الان", "probability": 0.721435546875}, {"start": 244.88, "end": 245.38, "word": " تان", "probability": 0.8505859375}, {"start": 245.38, "end": 246.08, "word": " انفرس", "probability": 0.980712890625}, {"start": 246.08, "end": 246.26, "word": " من", "probability": 0.95068359375}, {"start": 246.26, "end": 246.78, "word": " النقطة", "probability": 0.8914388020833334}, {"start": 246.78, "end": 247.1, "word": " تانية", "probability": 0.7747395833333334}, {"start": 247.1, "end": 247.44, "word": " للمرة", "probability": 0.8141276041666666}, {"start": 247.44, "end": 247.6, "word": " اللي", "probability": 0.733154296875}, {"start": 247.6, "end": 248.06, "word": " فاتقل", "probability": 0.58172607421875}, {"start": 248.06, "end": 249.06, "word": " قد", "probability": 0.60296630859375}, {"start": 249.06, "end": 249.88, "word": " يبقى", "probability": 0.918701171875}, {"start": 249.88, "end": 250.32, "word": " مادام", "probability": 0.8134765625}, {"start": 250.32, "end": 250.6, "word": " قد", "probability": 0.94921875}, {"start": 250.6, "end": 251.06, "word": " السلب", "probability": 0.720947265625}, {"start": 251.06, "end": 251.62, "word": " معله", "probability": 0.56640625}, {"start": 251.62, "end": 252.62, "word": " يطلع", "probability": 0.81890869140625}, {"start": 252.62, "end": 252.96, "word": " برا", "probability": 0.5948486328125}, {"start": 252.96, "end": 253.36, "word": " تان", "probability": 0.6666259765625}, {"start": 253.36, "end": 253.84, "word": " انفرس", "probability": 0.987548828125}, {"start": 253.84, "end": 254.22, "word": " يبقى", "probability": 0.9549560546875}, {"start": 254.22, "end": 254.62, "word": " هاي", "probability": 0.7470703125}, {"start": 254.62, "end": 255.4, "word": " سالب", "probability": 0.82177734375}, {"start": 255.4, "end": 256.08, "word": " تان", "probability": 0.96142578125}, {"start": 256.08, "end": 257.0, "word": " انفرس", "probability": 0.9921875}, {"start": 257.0, "end": 257.36, "word": " ليه", "probability": 0.6976318359375}, {"start": 257.36, "end": 257.92, "word": " تلاتة", "probability": 0.9185791015625}], "temperature": 1.0}, {"id": 13, "seek": 28670, "start": 259.01, "end": 286.71, "text": "الآن الـ Sec even ولا الـ Odd؟ سيك، واش الكلام اللي قلناه قبل قليل؟ مش قلنا الـ Cos وSec even والأربعة Odd؟ وين كنت في الفترة هذه؟ يبقى صح صحيح كويس، يبقى هذا بيتساوي جداش Sec لتان inverse تلاتة، ليش؟ لأن سيك هي عبارة عن Odd function", "tokens": [6027, 148, 48506, 2423, 39184, 3306, 754, 49429, 2423, 39184, 43630, 22807, 8608, 1829, 4117, 12399, 4032, 33599, 2423, 28820, 10943, 13672, 1829, 12174, 1211, 8315, 3224, 12174, 36150, 12174, 20292, 1211, 22807, 37893, 12174, 1211, 8315, 2423, 39184, 15855, 4032, 29511, 754, 4032, 6027, 10721, 25513, 27884, 43630, 22807, 4032, 9957, 9122, 29399, 8978, 27188, 2655, 25720, 29538, 22807, 7251, 3555, 4587, 7578, 20328, 5016, 20328, 5016, 1829, 5016, 9122, 45865, 3794, 12399, 7251, 3555, 4587, 7578, 23758, 4724, 1829, 2655, 3794, 995, 45865, 10874, 3215, 33599, 3306, 5296, 2655, 7649, 17340, 6055, 1211, 9307, 3660, 12399, 32239, 8592, 22807, 5296, 33456, 8608, 1829, 4117, 39896, 6225, 3555, 9640, 3660, 18871, 43630, 2445], "avg_logprob": -0.35896738093832264, "compression_ratio": 1.6277056277056277, "no_speech_prob": 0.0, "words": [{"start": 259.01, "end": 259.93, "word": "الآن", "probability": 0.5779012044270834}, {"start": 259.93, "end": 260.17, "word": " الـ", "probability": 0.4892578125}, {"start": 260.17, "end": 260.37, "word": " Sec", "probability": 0.25537109375}, {"start": 260.37, "end": 260.75, "word": " even", "probability": 0.09844970703125}, {"start": 260.75, "end": 260.99, "word": " ولا", "probability": 0.68994140625}, {"start": 260.99, "end": 261.21, "word": " الـ", "probability": 0.79931640625}, {"start": 261.21, "end": 261.77, "word": " Odd؟", "probability": 0.6142578125}, {"start": 261.77, "end": 264.95, "word": " سيك،", "probability": 0.447357177734375}, {"start": 264.95, "end": 265.35, "word": " واش", "probability": 0.5550537109375}, {"start": 265.35, "end": 265.81, "word": " الكلام", "probability": 0.9474283854166666}, {"start": 265.81, "end": 265.97, "word": " اللي", "probability": 0.90185546875}, {"start": 265.97, "end": 266.41, "word": " قلناه", "probability": 0.80267333984375}, {"start": 266.41, "end": 266.73, "word": " قبل", "probability": 0.992431640625}, {"start": 266.73, "end": 267.55, "word": " قليل؟", "probability": 0.940185546875}, {"start": 267.55, "end": 268.31, "word": " مش", "probability": 0.50927734375}, {"start": 268.31, "end": 268.61, "word": " قلنا", "probability": 0.8777669270833334}, {"start": 268.61, "end": 268.77, "word": " الـ", "probability": 0.6156005859375}, {"start": 268.77, "end": 268.93, "word": " Cos", "probability": 0.39111328125}, {"start": 268.93, "end": 269.63, "word": " وSec", "probability": 0.5594482421875}, {"start": 269.63, "end": 269.95, "word": " even", "probability": 0.708984375}, {"start": 269.95, "end": 270.61, "word": " والأربعة", "probability": 0.69052734375}, {"start": 270.61, "end": 271.19, "word": " Odd؟", "probability": 0.74658203125}, {"start": 271.19, "end": 272.01, "word": " وين", "probability": 0.677001953125}, {"start": 272.01, "end": 272.37, "word": " كنت", "probability": 0.992431640625}, {"start": 272.37, "end": 272.49, "word": " في", "probability": 0.89990234375}, {"start": 272.49, "end": 272.89, "word": " الفترة", "probability": 0.9930013020833334}, {"start": 272.89, "end": 273.95, "word": " هذه؟", "probability": 0.89306640625}, {"start": 273.95, "end": 274.35, "word": " يبقى", "probability": 0.9002685546875}, {"start": 274.35, "end": 274.65, "word": " صح", "probability": 0.843505859375}, {"start": 274.65, "end": 274.97, "word": " صحيح", "probability": 0.7080078125}, {"start": 274.97, "end": 275.57, "word": " كويس،", "probability": 0.8304443359375}, {"start": 275.57, "end": 276.31, "word": " يبقى", "probability": 0.9849853515625}, {"start": 276.31, "end": 276.59, "word": " هذا", "probability": 0.52294921875}, {"start": 276.59, "end": 277.27, "word": " بيتساوي", "probability": 0.6032511393229166}, {"start": 277.27, "end": 278.01, "word": " جداش", "probability": 0.8665364583333334}, {"start": 278.01, "end": 279.07, "word": " Sec", "probability": 0.420166015625}, {"start": 279.07, "end": 280.23, "word": " لتان", "probability": 0.8922526041666666}, {"start": 280.23, "end": 281.11, "word": " inverse", "probability": 0.60888671875}, {"start": 281.11, "end": 282.53, "word": " تلاتة،", "probability": 0.831103515625}, {"start": 282.53, "end": 283.11, "word": " ليش؟", "probability": 0.9314778645833334}, {"start": 283.11, "end": 283.43, "word": " لأن", "probability": 0.782470703125}, {"start": 283.43, "end": 284.25, "word": " سيك", "probability": 0.7357584635416666}, {"start": 284.25, "end": 284.73, "word": " هي", "probability": 0.896484375}, {"start": 284.73, "end": 285.19, "word": " عبارة", "probability": 0.996826171875}, {"start": 285.19, "end": 285.51, "word": " عن", "probability": 0.99755859375}, {"start": 285.51, "end": 285.91, "word": " Odd", "probability": 0.51318359375}, {"start": 285.91, "end": 286.71, "word": " function", "probability": 0.88720703125}], "temperature": 1.0}, {"id": 14, "seek": 30195, "start": 289.22, "end": 301.96, "text": "طيب الآن التكتيك اللي اتبعناه المرة الماضية بأنه يتبع عند حسب هذه القيمة بدي أقوله افترض ان θ تساوي tan inverse ثلاثة", "tokens": [9566, 1829, 3555, 6024, 48506, 16712, 4117, 31371, 4117, 13672, 1829, 1975, 2655, 3555, 3615, 8315, 3224, 9673, 25720, 9673, 46958, 10632, 4724, 33456, 3224, 7251, 2655, 3555, 3615, 43242, 11331, 35457, 29538, 25062, 32640, 3660, 4724, 16254, 5551, 39648, 3224, 1975, 5172, 2655, 43042, 16472, 12622, 6055, 3794, 995, 45865, 7603, 17340, 38637, 1211, 5718, 104, 3660], "avg_logprob": -0.37605933516712514, "compression_ratio": 1.4097222222222223, "no_speech_prob": 0.0, "words": [{"start": 289.22, "end": 290.3, "word": "طيب", "probability": 0.60302734375}, {"start": 290.3, "end": 290.92, "word": " الآن", "probability": 0.5382080078125}, {"start": 290.92, "end": 292.02, "word": " التكتيك", "probability": 0.70782470703125}, {"start": 292.02, "end": 292.2, "word": " اللي", "probability": 0.7115478515625}, {"start": 292.2, "end": 292.78, "word": " اتبعناه", "probability": 0.925537109375}, {"start": 292.78, "end": 293.24, "word": " المرة", "probability": 0.904296875}, {"start": 293.24, "end": 293.88, "word": " الماضية", "probability": 0.9921875}, {"start": 293.88, "end": 294.22, "word": " بأنه", "probability": 0.5616861979166666}, {"start": 294.22, "end": 294.62, "word": " يتبع", "probability": 0.87353515625}, {"start": 294.62, "end": 294.82, "word": " عند", "probability": 0.10760498046875}, {"start": 294.82, "end": 295.28, "word": " حسب", "probability": 0.7802734375}, {"start": 295.28, "end": 295.56, "word": " هذه", "probability": 0.74072265625}, {"start": 295.56, "end": 296.04, "word": " القيمة", "probability": 0.9798177083333334}, {"start": 296.04, "end": 296.24, "word": " بدي", "probability": 0.27227783203125}, {"start": 296.24, "end": 296.7, "word": " أقوله", "probability": 0.6930338541666666}, {"start": 296.7, "end": 297.38, "word": " افترض", "probability": 0.9495849609375}, {"start": 297.38, "end": 298.3, "word": " ان", "probability": 0.6826171875}, {"start": 298.3, "end": 298.8, "word": " θ", "probability": 0.427978515625}, {"start": 298.8, "end": 299.78, "word": " تساوي", "probability": 0.880126953125}, {"start": 299.78, "end": 300.4, "word": " tan", "probability": 0.52392578125}, {"start": 300.4, "end": 301.24, "word": " inverse", "probability": 0.89013671875}, {"start": 301.24, "end": 301.96, "word": " ثلاثة", "probability": 0.77373046875}], "temperature": 1.0}, {"id": 15, "seek": 32289, "start": 302.52, "end": 322.9, "text": "التلاتة طبعا في دمين مين؟ 10 inverse والـ 10 inverse الدمين تبعها كل الـ real line إذا في عندي عبارة مكافئة لهذه العبارة وهي 10 θ يساوي كده؟ يساوي 3 يبقى الظلم بيساوي 3 ممتاز", "tokens": [6027, 2655, 1211, 9307, 3660, 23032, 3555, 3615, 995, 8978, 11778, 2304, 9957, 3714, 9957, 22807, 1266, 17340, 16070, 39184, 1266, 17340, 32748, 2304, 9957, 6055, 3555, 3615, 11296, 28242, 2423, 39184, 957, 1622, 11933, 15730, 8978, 18871, 16254, 6225, 3555, 9640, 3660, 3714, 4117, 31845, 19986, 3660, 46740, 24192, 18863, 3555, 9640, 3660, 37037, 1829, 1266, 12622, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 7251, 3794, 995, 45865, 805, 7251, 3555, 4587, 7578, 6024, 116, 19528, 4724, 1829, 3794, 995, 45865, 805, 3714, 2304, 2655, 31377], "avg_logprob": -0.2868679802069503, "compression_ratio": 1.6228571428571428, "no_speech_prob": 0.0, "words": [{"start": 302.52, "end": 303.32, "word": "التلاتة", "probability": 0.766064453125}, {"start": 303.32, "end": 303.7, "word": " طبعا", "probability": 0.8875732421875}, {"start": 303.7, "end": 303.84, "word": " في", "probability": 0.837890625}, {"start": 303.84, "end": 304.24, "word": " دمين", "probability": 0.625}, {"start": 304.24, "end": 305.14, "word": " مين؟", "probability": 0.660888671875}, {"start": 305.14, "end": 305.4, "word": " 10", "probability": 0.2734375}, {"start": 305.4, "end": 305.78, "word": " inverse", "probability": 0.2003173828125}, {"start": 305.78, "end": 306.16, "word": " والـ", "probability": 0.258056640625}, {"start": 306.16, "end": 306.28, "word": " 10", "probability": 0.69580078125}, {"start": 306.28, "end": 306.54, "word": " inverse", "probability": 0.83251953125}, {"start": 306.54, "end": 306.96, "word": " الدمين", "probability": 0.8133138020833334}, {"start": 306.96, "end": 307.48, "word": " تبعها", "probability": 0.914306640625}, {"start": 307.48, "end": 307.88, "word": " كل", "probability": 0.98046875}, {"start": 307.88, "end": 308.08, "word": " الـ", "probability": 0.59423828125}, {"start": 308.08, "end": 308.36, "word": " real", "probability": 0.7724609375}, {"start": 308.36, "end": 308.98, "word": " line", "probability": 0.81884765625}, {"start": 308.98, "end": 309.74, "word": " إذا", "probability": 0.6243896484375}, {"start": 309.74, "end": 310.02, "word": " في", "probability": 0.73876953125}, {"start": 310.02, "end": 310.52, "word": " عندي", "probability": 0.89013671875}, {"start": 310.52, "end": 311.12, "word": " عبارة", "probability": 0.9884033203125}, {"start": 311.12, "end": 312.06, "word": " مكافئة", "probability": 0.98251953125}, {"start": 312.06, "end": 312.64, "word": " لهذه", "probability": 0.931396484375}, {"start": 312.64, "end": 313.54, "word": " العبارة", "probability": 0.9931640625}, {"start": 313.54, "end": 314.36, "word": " وهي", "probability": 0.8515625}, {"start": 314.36, "end": 315.52, "word": " 10", "probability": 0.8271484375}, {"start": 315.52, "end": 315.96, "word": " θ", "probability": 0.333740234375}, {"start": 315.96, "end": 316.96, "word": " يساوي", "probability": 0.8416748046875}, {"start": 316.96, "end": 317.7, "word": " كده؟", "probability": 0.65069580078125}, {"start": 317.7, "end": 318.66, "word": " يساوي", "probability": 0.948974609375}, {"start": 318.66, "end": 319.12, "word": " 3", "probability": 0.74658203125}, {"start": 319.12, "end": 319.66, "word": " يبقى", "probability": 0.84271240234375}, {"start": 319.66, "end": 320.3, "word": " الظلم", "probability": 0.7955729166666666}, {"start": 320.3, "end": 321.3, "word": " بيساوي", "probability": 0.843798828125}, {"start": 321.3, "end": 322.0, "word": " 3", "probability": 0.9384765625}, {"start": 322.0, "end": 322.9, "word": " ممتاز", "probability": 0.82586669921875}], "temperature": 1.0}, {"id": 16, "seek": 33482, "start": 323.46, "end": 334.82, "text": "لأ لو رجعنا بالذاكرة إلى الوراء و روحنا و قولنا هي عندي محاور هذا محور X وهذا محور Y وهذا نقطة من الاصل", "tokens": [1211, 10721, 45164, 12602, 7435, 3615, 8315, 20666, 15730, 4117, 25720, 30731, 2423, 13063, 16606, 4032, 12602, 2407, 5016, 8315, 4032, 12174, 12610, 8315, 39896, 18871, 16254, 3714, 5016, 995, 13063, 23758, 3714, 5016, 13063, 1783, 37037, 15730, 3714, 5016, 13063, 398, 37037, 15730, 8717, 47432, 3660, 9154, 2423, 33546, 1211], "avg_logprob": -0.1989182738157419, "compression_ratio": 1.5555555555555556, "no_speech_prob": 0.0, "words": [{"start": 323.46, "end": 323.98, "word": "لأ", "probability": 0.549072265625}, {"start": 323.98, "end": 324.18, "word": " لو", "probability": 0.87548828125}, {"start": 324.18, "end": 324.62, "word": " رجعنا", "probability": 0.9796142578125}, {"start": 324.62, "end": 325.4, "word": " بالذاكرة", "probability": 0.8870849609375}, {"start": 325.4, "end": 325.66, "word": " إلى", "probability": 0.611328125}, {"start": 325.66, "end": 326.2, "word": " الوراء", "probability": 0.7535807291666666}, {"start": 326.2, "end": 326.36, "word": " و", "probability": 0.88330078125}, {"start": 326.36, "end": 326.8, "word": " روحنا", "probability": 0.8092041015625}, {"start": 326.8, "end": 326.92, "word": " و", "probability": 0.9130859375}, {"start": 326.92, "end": 327.28, "word": " قولنا", "probability": 0.9021809895833334}, {"start": 327.28, "end": 327.52, "word": " هي", "probability": 0.51220703125}, {"start": 327.52, "end": 328.02, "word": " عندي", "probability": 0.95458984375}, {"start": 328.02, "end": 328.76, "word": " محاور", "probability": 0.91845703125}, {"start": 328.76, "end": 329.48, "word": " هذا", "probability": 0.388916015625}, {"start": 329.48, "end": 330.12, "word": " محور", "probability": 0.9886067708333334}, {"start": 330.12, "end": 330.58, "word": " X", "probability": 0.77001953125}, {"start": 330.58, "end": 331.06, "word": " وهذا", "probability": 0.769775390625}, {"start": 331.06, "end": 331.58, "word": " محور", "probability": 0.9757486979166666}, {"start": 331.58, "end": 331.86, "word": " Y", "probability": 0.99462890625}, {"start": 331.86, "end": 332.24, "word": " وهذا", "probability": 0.68359375}, {"start": 332.24, "end": 332.74, "word": " نقطة", "probability": 0.9742838541666666}, {"start": 332.74, "end": 333.08, "word": " من", "probability": 0.53662109375}, {"start": 333.08, "end": 334.82, "word": " الاصل", "probability": 0.821533203125}], "temperature": 1.0}, {"id": 17, "seek": 35420, "start": 336.18, "end": 354.2, "text": "لما جينا المعكوس ال 10 خلّينا ال domain تبع ال 10 حصرناه من إيه إلى أين؟ من سالب باي على اتنين إلى باي على اتنين ممتاز as an open interval إذا لو جيت على المحاور", "tokens": [1211, 15042, 10874, 1829, 8315, 9673, 3615, 4117, 41779, 2423, 1266, 16490, 1211, 11703, 9957, 995, 2423, 9274, 6055, 3555, 3615, 2423, 1266, 11331, 9381, 2288, 8315, 3224, 9154, 11933, 1829, 3224, 30731, 5551, 9957, 22807, 9154, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 30731, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 3714, 2304, 2655, 31377, 382, 364, 1269, 15035, 11933, 15730, 45164, 10874, 36081, 15844, 9673, 5016, 995, 13063], "avg_logprob": -0.35388513755153966, "compression_ratio": 1.5688622754491017, "no_speech_prob": 0.0, "words": [{"start": 336.18, "end": 336.56, "word": "لما", "probability": 0.531494140625}, {"start": 336.56, "end": 336.94, "word": " جينا", "probability": 0.7391764322916666}, {"start": 336.94, "end": 337.76, "word": " المعكوس", "probability": 0.766845703125}, {"start": 337.76, "end": 338.04, "word": " ال", "probability": 0.53369140625}, {"start": 338.04, "end": 338.5, "word": " 10", "probability": 0.54638671875}, {"start": 338.5, "end": 339.82, "word": " خلّينا", "probability": 0.6309814453125}, {"start": 339.82, "end": 339.92, "word": " ال", "probability": 0.86865234375}, {"start": 339.92, "end": 340.34, "word": " domain", "probability": 0.96044921875}, {"start": 340.34, "end": 341.58, "word": " تبع", "probability": 0.79541015625}, {"start": 341.58, "end": 341.78, "word": " ال", "probability": 0.93359375}, {"start": 341.78, "end": 342.06, "word": " 10", "probability": 0.96484375}, {"start": 342.06, "end": 342.76, "word": " حصرناه", "probability": 0.88447265625}, {"start": 342.76, "end": 342.82, "word": " من", "probability": 0.98193359375}, {"start": 342.82, "end": 343.0, "word": " إيه", "probability": 0.5534871419270834}, {"start": 343.0, "end": 343.12, "word": " إلى", "probability": 0.58642578125}, {"start": 343.12, "end": 344.28, "word": " أين؟", "probability": 0.7198079427083334}, {"start": 344.28, "end": 344.5, "word": " من", "probability": 0.9287109375}, {"start": 344.5, "end": 344.96, "word": " سالب", "probability": 0.4091796875}, {"start": 344.96, "end": 345.2, "word": " باي", "probability": 0.31622314453125}, {"start": 345.2, "end": 345.4, "word": " على", "probability": 0.759765625}, {"start": 345.4, "end": 346.04, "word": " اتنين", "probability": 0.947509765625}, {"start": 346.04, "end": 346.78, "word": " إلى", "probability": 0.9228515625}, {"start": 346.78, "end": 347.9, "word": " باي", "probability": 0.771484375}, {"start": 347.9, "end": 348.18, "word": " على", "probability": 0.93115234375}, {"start": 348.18, "end": 348.6, "word": " اتنين", "probability": 0.9569091796875}, {"start": 348.6, "end": 349.12, "word": " ممتاز", "probability": 0.72509765625}, {"start": 349.12, "end": 349.5, "word": " as", "probability": 0.458251953125}, {"start": 349.5, "end": 350.02, "word": " an", "probability": 0.9013671875}, {"start": 350.02, "end": 350.74, "word": " open", "probability": 0.93359375}, {"start": 350.74, "end": 351.68, "word": " interval", "probability": 0.9833984375}, {"start": 351.68, "end": 352.42, "word": " إذا", "probability": 0.6104736328125}, {"start": 352.42, "end": 352.66, "word": " لو", "probability": 0.96337890625}, {"start": 352.66, "end": 352.92, "word": " جيت", "probability": 0.82958984375}, {"start": 352.92, "end": 353.22, "word": " على", "probability": 0.72705078125}, {"start": 353.22, "end": 354.2, "word": " المحاور", "probability": 0.9898681640625}], "temperature": 1.0}, {"id": 18, "seek": 38402, "start": 354.44, "end": 384.02, "text": "وقلت هذه ناقص باي على اتنين هذا لو مشيت مع عقارة بالساعة لو مشيت ضد عقارة بالساعة بتكون هذه قداش باي على اتنين إذا نحنا بنمشي من سالب باي على اتنين إلى باي على اتنين يعني أخدنا أي أربعة من الأربعة الأربعة الأول والرابع ممتازة لإن لو جيتلي التان التان هذا في الرابع الرابع يسوي قيمة", "tokens": [2407, 4587, 1211, 2655, 29538, 8717, 995, 4587, 9381, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 23758, 45164, 37893, 36081, 20449, 6225, 4587, 9640, 3660, 20666, 3794, 995, 27884, 45164, 37893, 36081, 48812, 3215, 6225, 4587, 9640, 3660, 20666, 3794, 995, 27884, 39894, 30544, 29538, 12174, 3215, 33599, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 11933, 15730, 8717, 5016, 8315, 44945, 2304, 8592, 1829, 9154, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 30731, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 37495, 22653, 5551, 9778, 3215, 8315, 36632, 5551, 25513, 27884, 9154, 16247, 25513, 27884, 16247, 25513, 27884, 16247, 12610, 16070, 2288, 16758, 3615, 3714, 2304, 2655, 31377, 3660, 5296, 28814, 1863, 45164, 10874, 36081, 20292, 16712, 7649, 16712, 7649, 23758, 8978, 34892, 16758, 3615, 34892, 16758, 3615, 7251, 3794, 45865, 12174, 32640, 3660], "avg_logprob": -0.20654653197657452, "compression_ratio": 2.449275362318841, "no_speech_prob": 9.179115295410156e-06, "words": [{"start": 354.44, "end": 355.26, "word": "وقلت", "probability": 0.67535400390625}, {"start": 355.26, "end": 355.66, "word": " هذه", "probability": 0.521484375}, {"start": 355.66, "end": 356.46, "word": " ناقص", "probability": 0.8673095703125}, {"start": 356.46, "end": 356.86, "word": " باي", "probability": 0.31414794921875}, {"start": 356.86, "end": 357.2, "word": " على", "probability": 0.8193359375}, {"start": 357.2, "end": 357.76, "word": " اتنين", "probability": 0.969970703125}, {"start": 357.76, "end": 358.06, "word": " هذا", "probability": 0.421142578125}, {"start": 358.06, "end": 358.3, "word": " لو", "probability": 0.970703125}, {"start": 358.3, "end": 359.04, "word": " مشيت", "probability": 0.842041015625}, {"start": 359.04, "end": 359.7, "word": " مع", "probability": 0.95751953125}, {"start": 359.7, "end": 360.3, "word": " عقارة", "probability": 0.80657958984375}, {"start": 360.3, "end": 360.84, "word": " بالساعة", "probability": 0.9688720703125}, {"start": 360.84, "end": 361.48, "word": " لو", "probability": 0.73291015625}, {"start": 361.48, "end": 361.96, "word": " مشيت", "probability": 0.8681640625}, {"start": 361.96, "end": 362.26, "word": " ضد", "probability": 0.96435546875}, {"start": 362.26, "end": 362.86, "word": " عقارة", "probability": 0.9974365234375}, {"start": 362.86, "end": 363.34, "word": " بالساعة", "probability": 0.983154296875}, {"start": 363.34, "end": 363.8, "word": " بتكون", "probability": 0.68896484375}, {"start": 363.8, "end": 364.1, "word": " هذه", "probability": 0.78076171875}, {"start": 364.1, "end": 364.88, "word": " قداش", "probability": 0.7259114583333334}, {"start": 364.88, "end": 365.58, "word": " باي", "probability": 0.767822265625}, {"start": 365.58, "end": 365.82, "word": " على", "probability": 0.92626953125}, {"start": 365.82, "end": 366.22, "word": " اتنين", "probability": 0.978271484375}, {"start": 366.22, "end": 366.9, "word": " إذا", "probability": 0.691650390625}, {"start": 366.9, "end": 367.34, "word": " نحنا", "probability": 0.70849609375}, {"start": 367.34, "end": 368.04, "word": " بنمشي", "probability": 0.8668212890625}, {"start": 368.04, "end": 368.22, "word": " من", "probability": 0.98486328125}, {"start": 368.22, "end": 368.68, "word": " سالب", "probability": 0.81982421875}, {"start": 368.68, "end": 368.98, "word": " باي", "probability": 0.8720703125}, {"start": 368.98, "end": 369.18, "word": " على", "probability": 0.9306640625}, {"start": 369.18, "end": 369.82, "word": " اتنين", "probability": 0.9854736328125}, {"start": 369.82, "end": 370.24, "word": " إلى", "probability": 0.7314453125}, {"start": 370.24, "end": 370.64, "word": " باي", "probability": 0.889892578125}, {"start": 370.64, "end": 370.88, "word": " على", "probability": 0.96630859375}, {"start": 370.88, "end": 371.34, "word": " اتنين", "probability": 0.9820556640625}, {"start": 371.34, "end": 372.08, "word": " يعني", "probability": 0.95947265625}, {"start": 372.08, "end": 372.72, "word": " أخدنا", "probability": 0.9271240234375}, {"start": 372.72, "end": 373.18, "word": " أي", "probability": 0.8642578125}, {"start": 373.18, "end": 373.9, "word": " أربعة", "probability": 0.7360026041666666}, {"start": 373.9, "end": 374.06, "word": " من", "probability": 0.99365234375}, {"start": 374.06, "end": 374.56, "word": " الأربعة", "probability": 0.8601888020833334}, {"start": 374.56, "end": 375.4, "word": " الأربعة", "probability": 0.970703125}, {"start": 375.4, "end": 376.8, "word": " الأول", "probability": 0.83447265625}, {"start": 376.8, "end": 377.74, "word": " والرابع", "probability": 0.7408447265625}, {"start": 377.74, "end": 378.42, "word": " ممتازة", "probability": 0.74052734375}, {"start": 378.42, "end": 378.54, "word": " لإن", "probability": 0.642333984375}, {"start": 378.54, "end": 378.76, "word": " لو", "probability": 0.98095703125}, {"start": 378.76, "end": 379.3, "word": " جيتلي", "probability": 0.9075520833333334}, {"start": 379.3, "end": 380.02, "word": " التان", "probability": 0.79443359375}, {"start": 380.02, "end": 381.08, "word": " التان", "probability": 0.887939453125}, {"start": 381.08, "end": 381.62, "word": " هذا", "probability": 0.96728515625}, {"start": 381.62, "end": 381.98, "word": " في", "probability": 0.96923828125}, {"start": 381.98, "end": 382.36, "word": " الرابع", "probability": 0.8147786458333334}, {"start": 382.36, "end": 382.78, "word": " الرابع", "probability": 0.8740234375}, {"start": 382.78, "end": 383.28, "word": " يسوي", "probability": 0.7266438802083334}, {"start": 383.28, "end": 384.02, "word": " قيمة", "probability": 0.97412109375}], "temperature": 1.0}, {"id": 19, "seek": 40077, "start": 384.43, "end": 400.77, "text": "سالب أو في الربع الأول احنا عندنا تام تيتا بالساعة القيمة موجبة إذا الزاوية تيتا في الربع الأول يبقى لو جانا قولنا هذه ها هي الزاوية تيتا هذه الزاوية قائمة وهذه الزاوية تيتا", "tokens": [3794, 6027, 3555, 34051, 8978, 34892, 3555, 3615, 16247, 12610, 1975, 5016, 8315, 43242, 8315, 6055, 10943, 6055, 36081, 995, 20666, 3794, 995, 27884, 25062, 32640, 3660, 3714, 29245, 49401, 11933, 15730, 6024, 110, 995, 2407, 10632, 6055, 36081, 995, 8978, 34892, 3555, 3615, 16247, 12610, 7251, 3555, 4587, 7578, 45164, 10874, 7649, 995, 12174, 12610, 8315, 29538, 8032, 995, 39896, 6024, 110, 995, 2407, 10632, 6055, 36081, 995, 29538, 6024, 110, 995, 2407, 10632, 12174, 16373, 46007, 37037, 24192, 6024, 110, 995, 2407, 10632, 6055, 36081, 995], "avg_logprob": -0.27492976724431756, "compression_ratio": 2.1655172413793102, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 384.43, "end": 385.09, "word": "سالب", "probability": 0.520263671875}, {"start": 385.09, "end": 385.23, "word": " أو", "probability": 0.72119140625}, {"start": 385.23, "end": 385.39, "word": " في", "probability": 0.51220703125}, {"start": 385.39, "end": 385.65, "word": " الربع", "probability": 0.646240234375}, {"start": 385.65, "end": 386.13, "word": " الأول", "probability": 0.977783203125}, {"start": 386.13, "end": 387.15, "word": " احنا", "probability": 0.7283935546875}, {"start": 387.15, "end": 387.63, "word": " عندنا", "probability": 0.77685546875}, {"start": 387.63, "end": 387.91, "word": " تام", "probability": 0.37969970703125}, {"start": 387.91, "end": 388.23, "word": " تيتا", "probability": 0.8108723958333334}, {"start": 388.23, "end": 388.67, "word": " بالساعة", "probability": 0.528076171875}, {"start": 388.67, "end": 389.17, "word": " القيمة", "probability": 0.8318684895833334}, {"start": 389.17, "end": 389.61, "word": " موجبة", "probability": 0.9440104166666666}, {"start": 389.61, "end": 389.87, "word": " إذا", "probability": 0.5906982421875}, {"start": 389.87, "end": 390.31, "word": " الزاوية", "probability": 0.867626953125}, {"start": 390.31, "end": 390.61, "word": " تيتا", "probability": 0.9567057291666666}, {"start": 390.61, "end": 390.75, "word": " في", "probability": 0.90380859375}, {"start": 390.75, "end": 391.39, "word": " الربع", "probability": 0.6976725260416666}, {"start": 391.39, "end": 392.67, "word": " الأول", "probability": 0.947265625}, {"start": 392.67, "end": 393.49, "word": " يبقى", "probability": 0.9390869140625}, {"start": 393.49, "end": 393.71, "word": " لو", "probability": 0.5947265625}, {"start": 393.71, "end": 394.19, "word": " جانا", "probability": 0.7621256510416666}, {"start": 394.19, "end": 394.85, "word": " قولنا", "probability": 0.8499348958333334}, {"start": 394.85, "end": 395.35, "word": " هذه", "probability": 0.912109375}, {"start": 395.35, "end": 396.03, "word": " ها", "probability": 0.599609375}, {"start": 396.03, "end": 396.61, "word": " هي", "probability": 0.798828125}, {"start": 396.61, "end": 397.27, "word": " الزاوية", "probability": 0.96689453125}, {"start": 397.27, "end": 397.55, "word": " تيتا", "probability": 0.9763997395833334}, {"start": 397.55, "end": 397.77, "word": " هذه", "probability": 0.728515625}, {"start": 397.77, "end": 398.17, "word": " الزاوية", "probability": 0.979296875}, {"start": 398.17, "end": 398.81, "word": " قائمة", "probability": 0.9640299479166666}, {"start": 398.81, "end": 399.61, "word": " وهذه", "probability": 0.85791015625}, {"start": 399.61, "end": 400.25, "word": " الزاوية", "probability": 0.91767578125}, {"start": 400.25, "end": 400.77, "word": " تيتا", "probability": 0.9835611979166666}], "temperature": 1.0}, {"id": 20, "seek": 42504, "start": 401.2, "end": 425.04, "text": "الظل يسوي المقابل على المجاور يبقى المقابل تلاتة والمجاور واحد يبقى هذا بد يكون جدر عشرة حسب فيثة غرف إذا صارت المسألة أن هنا سك لمين لتان inverse ثلاثة بد يسوي سك ثيتا", "tokens": [6027, 19913, 1211, 7251, 3794, 45865, 9673, 4587, 16758, 1211, 15844, 9673, 7435, 995, 13063, 7251, 3555, 4587, 7578, 9673, 4587, 16758, 1211, 6055, 1211, 9307, 3660, 16070, 2304, 7435, 995, 13063, 36764, 24401, 7251, 3555, 4587, 7578, 23758, 47525, 7251, 30544, 10874, 3215, 2288, 6225, 8592, 25720, 11331, 35457, 8978, 12984, 3660, 32771, 28480, 11933, 15730, 20328, 9640, 2655, 9673, 3794, 10721, 37977, 14739, 34105, 8608, 4117, 32767, 9957, 5296, 2655, 7649, 17340, 38637, 1211, 5718, 104, 3660, 47525, 7251, 3794, 45865, 8608, 4117, 38637, 36081, 995], "avg_logprob": -0.20698735553227113, "compression_ratio": 1.6875, "no_speech_prob": 0.0, "words": [{"start": 401.2, "end": 402.02, "word": "الظل", "probability": 0.8115234375}, {"start": 402.02, "end": 402.6, "word": " يسوي", "probability": 0.783935546875}, {"start": 402.6, "end": 403.48, "word": " المقابل", "probability": 0.990234375}, {"start": 403.48, "end": 403.94, "word": " على", "probability": 0.880859375}, {"start": 403.94, "end": 405.14, "word": " المجاور", "probability": 0.9893798828125}, {"start": 405.14, "end": 405.48, "word": " يبقى", "probability": 0.8536376953125}, {"start": 405.48, "end": 406.36, "word": " المقابل", "probability": 0.994140625}, {"start": 406.36, "end": 407.16, "word": " تلاتة", "probability": 0.86279296875}, {"start": 407.16, "end": 408.46, "word": " والمجاور", "probability": 0.889404296875}, {"start": 408.46, "end": 409.1, "word": " واحد", "probability": 0.9755859375}, {"start": 409.1, "end": 409.94, "word": " يبقى", "probability": 0.9442138671875}, {"start": 409.94, "end": 410.2, "word": " هذا", "probability": 0.9453125}, {"start": 410.2, "end": 410.5, "word": " بد", "probability": 0.370849609375}, {"start": 410.5, "end": 411.02, "word": " يكون", "probability": 0.662841796875}, {"start": 411.02, "end": 411.68, "word": " جدر", "probability": 0.9344075520833334}, {"start": 411.68, "end": 412.88, "word": " عشرة", "probability": 0.8268229166666666}, {"start": 412.88, "end": 413.78, "word": " حسب", "probability": 0.973876953125}, {"start": 413.78, "end": 414.66, "word": " فيثة", "probability": 0.5008138020833334}, {"start": 414.66, "end": 415.14, "word": " غرف", "probability": 0.90869140625}, {"start": 415.14, "end": 415.9, "word": " إذا", "probability": 0.75341796875}, {"start": 415.9, "end": 416.5, "word": " صارت", "probability": 0.8235677083333334}, {"start": 416.5, "end": 417.34, "word": " المسألة", "probability": 0.9700927734375}, {"start": 417.34, "end": 417.76, "word": " أن", "probability": 0.5888671875}, {"start": 417.76, "end": 418.26, "word": " هنا", "probability": 0.953125}, {"start": 418.26, "end": 418.98, "word": " سك", "probability": 0.34478759765625}, {"start": 418.98, "end": 420.0, "word": " لمين", "probability": 0.6763916015625}, {"start": 420.0, "end": 420.94, "word": " لتان", "probability": 0.9847005208333334}, {"start": 420.94, "end": 421.72, "word": " inverse", "probability": 0.84423828125}, {"start": 421.72, "end": 422.84, "word": " ثلاثة", "probability": 0.94326171875}, {"start": 422.84, "end": 423.28, "word": " بد", "probability": 0.68310546875}, {"start": 423.28, "end": 423.94, "word": " يسوي", "probability": 0.8406575520833334}, {"start": 423.94, "end": 424.52, "word": " سك", "probability": 0.728759765625}, {"start": 424.52, "end": 425.04, "word": " ثيتا", "probability": 0.7527669270833334}], "temperature": 1.0}, {"id": 21, "seek": 44980, "start": 425.48, "end": 449.8, "text": "لو جهت هنا الـ sixteenth اللي هو الوطر على المجاور يبقى الوطر جذر عشرة على المجاور اللي هو واحد يبقى جذر عشرة القيمة الحقيقية للمقدار اللي عندنا طيب نعطي مثال نربط فيه الجديد بالقديم يعني نربط section 7 3 بsection", "tokens": [1211, 2407, 10874, 3224, 2655, 34105, 2423, 39184, 2309, 46897, 13672, 1829, 31439, 2423, 2407, 9566, 2288, 15844, 9673, 7435, 995, 13063, 7251, 3555, 4587, 7578, 2423, 2407, 9566, 2288, 10874, 8848, 2288, 6225, 8592, 25720, 15844, 9673, 7435, 995, 13063, 13672, 1829, 31439, 36764, 24401, 7251, 3555, 4587, 7578, 10874, 8848, 2288, 6225, 8592, 25720, 25062, 32640, 3660, 21542, 38436, 4587, 10632, 5296, 19528, 28543, 9640, 13672, 1829, 43242, 8315, 23032, 1829, 3555, 8717, 3615, 9566, 1829, 50113, 6027, 8717, 25513, 9566, 8978, 3224, 25724, 16254, 3215, 20666, 4587, 16254, 2304, 37495, 22653, 8717, 25513, 9566, 3541, 1614, 805, 4724, 11963], "avg_logprob": -0.18067354629340682, "compression_ratio": 1.8854166666666667, "no_speech_prob": 0.0, "words": [{"start": 425.48, "end": 425.92, "word": "لو", "probability": 0.717529296875}, {"start": 425.92, "end": 426.26, "word": " جهت", "probability": 0.68408203125}, {"start": 426.26, "end": 426.46, "word": " هنا", "probability": 0.75634765625}, {"start": 426.46, "end": 426.66, "word": " الـ", "probability": 0.668701171875}, {"start": 426.66, "end": 427.14, "word": " sixteenth", "probability": 0.131805419921875}, {"start": 427.14, "end": 427.34, "word": " اللي", "probability": 0.862060546875}, {"start": 427.34, "end": 427.48, "word": " هو", "probability": 0.98779296875}, {"start": 427.48, "end": 428.16, "word": " الوطر", "probability": 0.7578125}, {"start": 428.16, "end": 428.98, "word": " على", "probability": 0.841796875}, {"start": 428.98, "end": 429.9, "word": " المجاور", "probability": 0.98828125}, {"start": 429.9, "end": 430.66, "word": " يبقى", "probability": 0.9345703125}, {"start": 430.66, "end": 431.2, "word": " الوطر", "probability": 0.97265625}, {"start": 431.2, "end": 431.64, "word": " جذر", "probability": 0.7672526041666666}, {"start": 431.64, "end": 432.18, "word": " عشرة", "probability": 0.8917643229166666}, {"start": 432.18, "end": 432.86, "word": " على", "probability": 0.8095703125}, {"start": 432.86, "end": 433.56, "word": " المجاور", "probability": 0.994384765625}, {"start": 433.56, "end": 433.82, "word": " اللي", "probability": 0.95654296875}, {"start": 433.82, "end": 434.06, "word": " هو", "probability": 0.9921875}, {"start": 434.06, "end": 434.6, "word": " واحد", "probability": 0.953369140625}, {"start": 434.6, "end": 435.54, "word": " يبقى", "probability": 0.950927734375}, {"start": 435.54, "end": 436.22, "word": " جذر", "probability": 0.98779296875}, {"start": 436.22, "end": 436.88, "word": " عشرة", "probability": 0.9451497395833334}, {"start": 436.88, "end": 437.88, "word": " القيمة", "probability": 0.9571940104166666}, {"start": 437.88, "end": 438.9, "word": " الحقيقية", "probability": 0.9912109375}, {"start": 438.9, "end": 440.32, "word": " للمقدار", "probability": 0.9471435546875}, {"start": 440.32, "end": 440.82, "word": " اللي", "probability": 0.979736328125}, {"start": 440.82, "end": 442.04, "word": " عندنا", "probability": 0.917236328125}, {"start": 442.04, "end": 442.72, "word": " طيب", "probability": 0.8246256510416666}, {"start": 442.72, "end": 443.68, "word": " نعطي", "probability": 0.943359375}, {"start": 443.68, "end": 444.24, "word": " مثال", "probability": 0.98583984375}, {"start": 444.24, "end": 444.84, "word": " نربط", "probability": 0.943359375}, {"start": 444.84, "end": 445.12, "word": " فيه", "probability": 0.992431640625}, {"start": 445.12, "end": 445.72, "word": " الجديد", "probability": 0.9694010416666666}, {"start": 445.72, "end": 446.56, "word": " بالقديم", "probability": 0.8614501953125}, {"start": 446.56, "end": 447.3, "word": " يعني", "probability": 0.857666015625}, {"start": 447.3, "end": 447.78, "word": " نربط", "probability": 0.97998046875}, {"start": 447.78, "end": 448.16, "word": " section", "probability": 0.435791015625}, {"start": 448.16, "end": 448.6, "word": " 7", "probability": 0.45947265625}, {"start": 448.6, "end": 449.24, "word": " 3", "probability": 0.250244140625}, {"start": 449.24, "end": 449.8, "word": " بsection", "probability": 0.802001953125}], "temperature": 1.0}, {"id": 22, "seek": 47255, "start": 450.41, "end": 472.55, "text": "سبعة ستة نمر الـ C. بدنا .. بدنا قيمة لإتنين مرفوعة للأس logarithm باي square للأساس أربعة ناقص cosine inverse لمين لسالب واحد على جذر إتنين", "tokens": [3794, 3555, 27884, 8608, 2655, 3660, 8717, 29973, 2423, 39184, 383, 13, 47525, 8315, 4386, 47525, 8315, 12174, 32640, 3660, 5296, 28814, 2655, 1863, 9957, 3714, 28480, 2407, 27884, 24976, 10721, 3794, 41473, 32674, 4724, 47302, 3732, 24976, 10721, 3794, 32277, 5551, 25513, 27884, 8717, 995, 4587, 9381, 23565, 17340, 32767, 9957, 5296, 3794, 6027, 3555, 36764, 24401, 15844, 10874, 8848, 2288, 11933, 2655, 1863, 9957], "avg_logprob": -0.31133394454842184, "compression_ratio": 1.376543209876543, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 450.41, "end": 451.15, "word": "سبعة", "probability": 0.6187947591145834}, {"start": 451.15, "end": 451.99, "word": " ستة", "probability": 0.8841145833333334}, {"start": 451.99, "end": 452.63, "word": " نمر", "probability": 0.63232421875}, {"start": 452.63, "end": 452.99, "word": " الـ", "probability": 0.400146484375}, {"start": 452.99, "end": 453.15, "word": " C.", "probability": 0.51220703125}, {"start": 453.95, "end": 454.57, "word": " بدنا", "probability": 0.6361083984375}, {"start": 454.57, "end": 454.57, "word": " ..", "probability": 0.353515625}, {"start": 454.57, "end": 455.43, "word": " بدنا", "probability": 0.96337890625}, {"start": 455.43, "end": 456.29, "word": " قيمة", "probability": 0.9938151041666666}, {"start": 456.29, "end": 457.59, "word": " لإتنين", "probability": 0.73125}, {"start": 457.59, "end": 458.81, "word": " مرفوعة", "probability": 0.96435546875}, {"start": 458.81, "end": 459.51, "word": " للأس", "probability": 0.8317057291666666}, {"start": 459.51, "end": 460.55, "word": " logarithm", "probability": 0.58831787109375}, {"start": 460.55, "end": 461.77, "word": " باي", "probability": 0.5223388671875}, {"start": 461.77, "end": 462.33, "word": " square", "probability": 0.5751953125}, {"start": 462.33, "end": 463.65, "word": " للأساس", "probability": 0.9610595703125}, {"start": 463.65, "end": 464.55, "word": " أربعة", "probability": 0.8922526041666666}, {"start": 464.55, "end": 466.03, "word": " ناقص", "probability": 0.984619140625}, {"start": 466.03, "end": 466.95, "word": " cosine", "probability": 0.78466796875}, {"start": 466.95, "end": 467.97, "word": " inverse", "probability": 0.95361328125}, {"start": 467.97, "end": 469.01, "word": " لمين", "probability": 0.87939453125}, {"start": 469.01, "end": 470.37, "word": " لسالب", "probability": 0.8372802734375}, {"start": 470.37, "end": 471.29, "word": " واحد", "probability": 0.986572265625}, {"start": 471.29, "end": 471.59, "word": " على", "probability": 0.8671875}, {"start": 471.59, "end": 472.07, "word": " جذر", "probability": 0.9287109375}, {"start": 472.07, "end": 472.55, "word": " إتنين", "probability": 0.866455078125}], "temperature": 1.0}, {"id": 23, "seek": 50210, "start": 475.0, "end": 502.1, "text": "بتعرف قداش قيمة المقدار هذا أو أبسط المقدار هذا إلى أبسط صورة يبقى أنا الكلام يساوي بقول يا سلام لو كانت هذه أربعة و هذه أربعة كانت خلاصة من إيه؟ من ال log و بظلمة داخل ال log لكن بسيطة الشغلة في دك هذا log باعي تربية للأساس أربعة يبقى التربية هذا او اتنين بقدر اكتبه مين؟", "tokens": [3555, 2655, 3615, 28480, 12174, 3215, 33599, 12174, 32640, 3660, 9673, 28543, 9640, 23758, 34051, 5551, 3555, 3794, 9566, 9673, 28543, 9640, 23758, 30731, 5551, 3555, 3794, 9566, 20328, 13063, 3660, 7251, 3555, 4587, 7578, 41850, 2423, 28820, 10943, 7251, 3794, 995, 45865, 4724, 39648, 35186, 8608, 37440, 45164, 25961, 2655, 29538, 5551, 25513, 27884, 4032, 29538, 5551, 25513, 27884, 25961, 2655, 16490, 1211, 33546, 3660, 9154, 11933, 1829, 3224, 22807, 9154, 2423, 3565, 4032, 4724, 19913, 19528, 3660, 11778, 47283, 1211, 2423, 3565, 44381, 4724, 3794, 1829, 9566, 3660, 25124, 17082, 37977, 8978, 11778, 4117, 23758, 3565, 4724, 45761, 1829, 6055, 2288, 21292, 3660, 24976, 10721, 3794, 32277, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 16712, 2288, 21292, 3660, 23758, 1975, 2407, 1975, 2655, 1863, 9957, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 3224, 3714, 9957, 22807], "avg_logprob": -0.22504495845424186, "compression_ratio": 2.021097046413502, "no_speech_prob": 0.0, "words": [{"start": 475.0, "end": 475.54, "word": "بتعرف", "probability": 0.6749267578125}, {"start": 475.54, "end": 476.0, "word": " قداش", "probability": 0.5127766927083334}, {"start": 476.0, "end": 476.68, "word": " قيمة", "probability": 0.99609375}, {"start": 476.68, "end": 477.58, "word": " المقدار", "probability": 0.9650065104166666}, {"start": 477.58, "end": 477.82, "word": " هذا", "probability": 0.6669921875}, {"start": 477.82, "end": 478.06, "word": " أو", "probability": 0.466064453125}, {"start": 478.06, "end": 478.58, "word": " أبسط", "probability": 0.8604736328125}, {"start": 478.58, "end": 479.2, "word": " المقدار", "probability": 0.97412109375}, {"start": 479.2, "end": 479.64, "word": " هذا", "probability": 0.9169921875}, {"start": 479.64, "end": 480.22, "word": " إلى", "probability": 0.888671875}, {"start": 480.22, "end": 480.98, "word": " أبسط", "probability": 0.9871826171875}, {"start": 480.98, "end": 481.6, "word": " صورة", "probability": 0.9534505208333334}, {"start": 481.6, "end": 482.26, "word": " يبقى", "probability": 0.78228759765625}, {"start": 482.26, "end": 482.52, "word": " أنا", "probability": 0.48583984375}, {"start": 482.52, "end": 483.06, "word": " الكلام", "probability": 0.9724934895833334}, {"start": 483.06, "end": 483.7, "word": " يساوي", "probability": 0.8756103515625}, {"start": 483.7, "end": 484.78, "word": " بقول", "probability": 0.828125}, {"start": 484.78, "end": 484.96, "word": " يا", "probability": 0.7314453125}, {"start": 484.96, "end": 485.58, "word": " سلام", "probability": 0.95751953125}, {"start": 485.58, "end": 485.88, "word": " لو", "probability": 0.85400390625}, {"start": 485.88, "end": 486.42, "word": " كانت", "probability": 0.978515625}, {"start": 486.42, "end": 486.68, "word": " هذه", "probability": 0.90771484375}, {"start": 486.68, "end": 487.14, "word": " أربعة", "probability": 0.89990234375}, {"start": 487.14, "end": 487.24, "word": " و", "probability": 0.61328125}, {"start": 487.24, "end": 487.5, "word": " هذه", "probability": 0.79052734375}, {"start": 487.5, "end": 487.9, "word": " أربعة", "probability": 0.9573567708333334}, {"start": 487.9, "end": 488.28, "word": " كانت", "probability": 0.968994140625}, {"start": 488.28, "end": 488.78, "word": " خلاصة", "probability": 0.9061279296875}, {"start": 488.78, "end": 488.94, "word": " من", "probability": 0.96337890625}, {"start": 488.94, "end": 489.6, "word": " إيه؟", "probability": 0.743682861328125}, {"start": 489.6, "end": 489.96, "word": " من", "probability": 0.98681640625}, {"start": 489.96, "end": 490.18, "word": " ال", "probability": 0.685546875}, {"start": 490.18, "end": 490.44, "word": " log", "probability": 0.487060546875}, {"start": 490.44, "end": 490.6, "word": " و", "probability": 0.7900390625}, {"start": 490.6, "end": 491.52, "word": " بظلمة", "probability": 0.7762451171875}, {"start": 491.52, "end": 492.04, "word": " داخل", "probability": 0.9679361979166666}, {"start": 492.04, "end": 492.2, "word": " ال", "probability": 0.9765625}, {"start": 492.2, "end": 492.7, "word": " log", "probability": 0.97021484375}, {"start": 492.7, "end": 493.18, "word": " لكن", "probability": 0.81005859375}, {"start": 493.18, "end": 493.8, "word": " بسيطة", "probability": 0.9298828125}, {"start": 493.8, "end": 494.18, "word": " الشغلة", "probability": 0.585693359375}, {"start": 494.18, "end": 494.34, "word": " في", "probability": 0.9765625}, {"start": 494.34, "end": 494.66, "word": " دك", "probability": 0.5970458984375}, {"start": 494.66, "end": 495.4, "word": " هذا", "probability": 0.60205078125}, {"start": 495.4, "end": 495.94, "word": " log", "probability": 0.77734375}, {"start": 495.94, "end": 496.62, "word": " باعي", "probability": 0.6915690104166666}, {"start": 496.62, "end": 497.2, "word": " تربية", "probability": 0.79388427734375}, {"start": 497.2, "end": 497.86, "word": " للأساس", "probability": 0.9515380859375}, {"start": 497.86, "end": 498.44, "word": " أربعة", "probability": 0.93408203125}, {"start": 498.44, "end": 499.24, "word": " يبقى", "probability": 0.9752197265625}, {"start": 499.24, "end": 499.84, "word": " التربية", "probability": 0.906982421875}, {"start": 499.84, "end": 500.1, "word": " هذا", "probability": 0.1986083984375}, {"start": 500.1, "end": 500.4, "word": " او", "probability": 0.70068359375}, {"start": 500.4, "end": 500.84, "word": " اتنين", "probability": 0.9320068359375}, {"start": 500.84, "end": 501.18, "word": " بقدر", "probability": 0.9205729166666666}, {"start": 501.18, "end": 501.66, "word": " اكتبه", "probability": 0.713232421875}, {"start": 501.66, "end": 502.1, "word": " مين؟", "probability": 0.70703125}], "temperature": 1.0}, {"id": 24, "seek": 52177, "start": 502.45, "end": 521.77, "text": "خارج ال log يبقى لو كتبناه خارج ال log بصير اتنين مرفوع لل أس اتنين مضروب في logarithm باي للأساس مين للأساس أربع هذا ال term الأول و جينا هنا ناقص و هيفتحنا قصر", "tokens": [9778, 9640, 7435, 2423, 3565, 7251, 3555, 4587, 7578, 45164, 9122, 2655, 3555, 8315, 3224, 16490, 9640, 7435, 2423, 3565, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 3714, 28480, 45367, 24976, 5551, 3794, 1975, 2655, 1863, 9957, 3714, 11242, 32887, 3555, 8978, 41473, 32674, 4724, 47302, 24976, 10721, 3794, 32277, 3714, 9957, 24976, 10721, 3794, 32277, 5551, 25513, 3615, 23758, 2423, 1433, 16247, 12610, 4032, 10874, 1829, 8315, 34105, 8717, 995, 4587, 9381, 4032, 8032, 33911, 2655, 5016, 8315, 12174, 9381, 2288], "avg_logprob": -0.2532003026410758, "compression_ratio": 1.6363636363636365, "no_speech_prob": 0.0, "words": [{"start": 502.45, "end": 503.29, "word": "خارج", "probability": 0.7115071614583334}, {"start": 503.29, "end": 503.75, "word": " ال", "probability": 0.494140625}, {"start": 503.75, "end": 504.03, "word": " log", "probability": 0.2327880859375}, {"start": 504.03, "end": 504.75, "word": " يبقى", "probability": 0.7216796875}, {"start": 504.75, "end": 504.89, "word": " لو", "probability": 0.85546875}, {"start": 504.89, "end": 505.59, "word": " كتبناه", "probability": 0.861181640625}, {"start": 505.59, "end": 505.81, "word": " خارج", "probability": 0.9793294270833334}, {"start": 505.81, "end": 505.95, "word": " ال", "probability": 0.89306640625}, {"start": 505.95, "end": 506.15, "word": " log", "probability": 0.984375}, {"start": 506.15, "end": 506.69, "word": " بصير", "probability": 0.73974609375}, {"start": 506.69, "end": 507.65, "word": " اتنين", "probability": 0.938232421875}, {"start": 507.65, "end": 508.67, "word": " مرفوع", "probability": 0.8976236979166666}, {"start": 508.67, "end": 509.01, "word": " لل", "probability": 0.92138671875}, {"start": 509.01, "end": 509.51, "word": " أس", "probability": 0.680419921875}, {"start": 509.51, "end": 510.65, "word": " اتنين", "probability": 0.9393310546875}, {"start": 510.65, "end": 511.73, "word": " مضروب", "probability": 0.9434814453125}, {"start": 511.73, "end": 511.99, "word": " في", "probability": 0.8818359375}, {"start": 511.99, "end": 512.77, "word": " logarithm", "probability": 0.88720703125}, {"start": 512.77, "end": 513.43, "word": " باي", "probability": 0.40087890625}, {"start": 513.43, "end": 514.61, "word": " للأساس", "probability": 0.8837890625}, {"start": 514.61, "end": 515.07, "word": " مين", "probability": 0.6270751953125}, {"start": 515.07, "end": 516.13, "word": " للأساس", "probability": 0.879150390625}, {"start": 516.13, "end": 516.61, "word": " أربع", "probability": 0.751953125}, {"start": 516.61, "end": 517.27, "word": " هذا", "probability": 0.90625}, {"start": 517.27, "end": 517.47, "word": " ال", "probability": 0.78271484375}, {"start": 517.47, "end": 517.75, "word": " term", "probability": 0.87060546875}, {"start": 517.75, "end": 518.33, "word": " الأول", "probability": 0.865234375}, {"start": 518.33, "end": 518.85, "word": " و", "probability": 0.385986328125}, {"start": 518.85, "end": 519.31, "word": " جينا", "probability": 0.9664713541666666}, {"start": 519.31, "end": 519.61, "word": " هنا", "probability": 0.9853515625}, {"start": 519.61, "end": 520.31, "word": " ناقص", "probability": 0.9842529296875}, {"start": 520.31, "end": 520.49, "word": " و", "probability": 0.58349609375}, {"start": 520.49, "end": 521.27, "word": " هيفتحنا", "probability": 0.824658203125}, {"start": 521.27, "end": 521.77, "word": " قصر", "probability": 0.6576334635416666}], "temperature": 1.0}, {"id": 25, "seek": 53885, "start": 522.79, "end": 538.85, "text": "المرة اللي فاتت اخدنا اخر نقطة اللي هي النقطة الرابعة كانت cosine inverse لسلب x يسوى مقداش بي ناقص cosine inverse x بشرط ال x من سلب 1 إلى 1", "tokens": [45340, 25720, 13672, 1829, 6156, 9307, 2655, 1975, 9778, 3215, 8315, 1975, 34740, 8717, 47432, 3660, 13672, 1829, 39896, 28239, 47432, 3660, 34892, 16758, 27884, 25961, 2655, 23565, 17340, 5296, 3794, 46152, 2031, 7251, 3794, 2407, 7578, 3714, 28543, 33599, 4724, 1829, 8717, 995, 4587, 9381, 23565, 17340, 2031, 4724, 46309, 9566, 2423, 2031, 9154, 8608, 46152, 502, 30731, 502], "avg_logprob": -0.3078893364452925, "compression_ratio": 1.4899328859060403, "no_speech_prob": 0.0, "words": [{"start": 522.79, "end": 523.21, "word": "المرة", "probability": 0.386962890625}, {"start": 523.21, "end": 523.39, "word": " اللي", "probability": 0.698974609375}, {"start": 523.39, "end": 523.95, "word": " فاتت", "probability": 0.7691243489583334}, {"start": 523.95, "end": 524.91, "word": " اخدنا", "probability": 0.7919921875}, {"start": 524.91, "end": 525.59, "word": " اخر", "probability": 0.91162109375}, {"start": 525.59, "end": 526.19, "word": " نقطة", "probability": 0.9576822916666666}, {"start": 526.19, "end": 526.29, "word": " اللي", "probability": 0.6556396484375}, {"start": 526.29, "end": 526.45, "word": " هي", "probability": 0.91943359375}, {"start": 526.45, "end": 526.99, "word": " النقطة", "probability": 0.92431640625}, {"start": 526.99, "end": 527.59, "word": " الرابعة", "probability": 0.9363606770833334}, {"start": 527.59, "end": 528.43, "word": " كانت", "probability": 0.9306640625}, {"start": 528.43, "end": 528.95, "word": " cosine", "probability": 0.529296875}, {"start": 528.95, "end": 529.59, "word": " inverse", "probability": 0.93212890625}, {"start": 529.59, "end": 530.39, "word": " لسلب", "probability": 0.7023111979166666}, {"start": 530.39, "end": 530.77, "word": " x", "probability": 0.56494140625}, {"start": 530.77, "end": 531.15, "word": " يسوى", "probability": 0.68096923828125}, {"start": 531.15, "end": 531.81, "word": " مقداش", "probability": 0.6207682291666666}, {"start": 531.81, "end": 533.15, "word": " بي", "probability": 0.34405517578125}, {"start": 533.15, "end": 533.73, "word": " ناقص", "probability": 0.899658203125}, {"start": 533.73, "end": 534.25, "word": " cosine", "probability": 0.78564453125}, {"start": 534.25, "end": 534.83, "word": " inverse", "probability": 0.85791015625}, {"start": 534.83, "end": 535.19, "word": " x", "probability": 0.92822265625}, {"start": 535.19, "end": 535.73, "word": " بشرط", "probability": 0.89990234375}, {"start": 535.73, "end": 535.89, "word": " ال", "probability": 0.78515625}, {"start": 535.89, "end": 536.23, "word": " x", "probability": 0.63330078125}, {"start": 536.23, "end": 537.23, "word": " من", "probability": 0.97021484375}, {"start": 537.23, "end": 537.63, "word": " سلب", "probability": 0.80419921875}, {"start": 537.63, "end": 538.05, "word": " 1", "probability": 0.54833984375}, {"start": 538.05, "end": 538.55, "word": " إلى", "probability": 0.70166015625}, {"start": 538.55, "end": 538.85, "word": " 1", "probability": 0.966796875}], "temperature": 1.0}, {"id": 26, "seek": 56241, "start": 539.25, "end": 562.41, "text": "واحد على جذر اتنين ما لو اقل من الواحد الصحيح بإشارة سالب يكون اكبر من سالب واحد صحيح يعني في domain main ال cosine inverse وهيو بالسالب إذا بدرج و الهدى هو by ناقص cosine inverse واحد على جذر اتنين بالشكل الهن هذا", "tokens": [14407, 24401, 15844, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 19446, 45164, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 4724, 28814, 8592, 9640, 3660, 8608, 6027, 3555, 7251, 30544, 1975, 4117, 26890, 9154, 8608, 6027, 3555, 36764, 24401, 20328, 5016, 1829, 5016, 37495, 22653, 8978, 9274, 2135, 2423, 23565, 17340, 37037, 1829, 2407, 20666, 3794, 6027, 3555, 11933, 15730, 47525, 47341, 4032, 2423, 3224, 3215, 7578, 31439, 538, 8717, 995, 4587, 9381, 23565, 17340, 36764, 24401, 15844, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 20666, 8592, 28820, 2423, 3224, 1863, 23758], "avg_logprob": -0.2776692792152365, "compression_ratio": 1.8125, "no_speech_prob": 0.0, "words": [{"start": 539.25, "end": 539.81, "word": "واحد", "probability": 0.5325927734375}, {"start": 539.81, "end": 540.07, "word": " على", "probability": 0.6025390625}, {"start": 540.07, "end": 540.53, "word": " جذر", "probability": 0.8953450520833334}, {"start": 540.53, "end": 541.33, "word": " اتنين", "probability": 0.9256591796875}, {"start": 541.33, "end": 542.37, "word": " ما", "probability": 0.450927734375}, {"start": 542.37, "end": 542.57, "word": " لو", "probability": 0.5751953125}, {"start": 542.57, "end": 543.05, "word": " اقل", "probability": 0.81201171875}, {"start": 543.05, "end": 543.25, "word": " من", "probability": 0.99169921875}, {"start": 543.25, "end": 543.71, "word": " الواحد", "probability": 0.8557942708333334}, {"start": 543.71, "end": 544.35, "word": " الصحيح", "probability": 0.970703125}, {"start": 544.35, "end": 545.41, "word": " بإشارة", "probability": 0.85263671875}, {"start": 545.41, "end": 545.83, "word": " سالب", "probability": 0.77490234375}, {"start": 545.83, "end": 546.17, "word": " يكون", "probability": 0.3900146484375}, {"start": 546.17, "end": 546.83, "word": " اكبر", "probability": 0.8455403645833334}, {"start": 546.83, "end": 547.09, "word": " من", "probability": 0.9912109375}, {"start": 547.09, "end": 547.55, "word": " سالب", "probability": 0.8955078125}, {"start": 547.55, "end": 547.87, "word": " واحد", "probability": 0.99267578125}, {"start": 547.87, "end": 548.45, "word": " صحيح", "probability": 0.8900146484375}, {"start": 548.45, "end": 549.05, "word": " يعني", "probability": 0.870849609375}, {"start": 549.05, "end": 549.21, "word": " في", "probability": 0.9296875}, {"start": 549.21, "end": 549.53, "word": " domain", "probability": 0.51806640625}, {"start": 549.53, "end": 550.03, "word": " main", "probability": 0.36572265625}, {"start": 550.03, "end": 550.49, "word": " ال", "probability": 0.81005859375}, {"start": 550.49, "end": 550.91, "word": " cosine", "probability": 0.6533203125}, {"start": 550.91, "end": 551.57, "word": " inverse", "probability": 0.9384765625}, {"start": 551.57, "end": 552.43, "word": " وهيو", "probability": 0.652587890625}, {"start": 552.43, "end": 553.09, "word": " بالسالب", "probability": 0.9351806640625}, {"start": 553.09, "end": 553.43, "word": " إذا", "probability": 0.5989990234375}, {"start": 553.43, "end": 554.01, "word": " بدرج", "probability": 0.742919921875}, {"start": 554.01, "end": 554.19, "word": " و", "probability": 0.214599609375}, {"start": 554.19, "end": 554.71, "word": " الهدى", "probability": 0.69073486328125}, {"start": 554.71, "end": 555.13, "word": " هو", "probability": 0.97802734375}, {"start": 555.13, "end": 555.77, "word": " by", "probability": 0.2379150390625}, {"start": 555.77, "end": 557.11, "word": " ناقص", "probability": 0.96533203125}, {"start": 557.11, "end": 557.89, "word": " cosine", "probability": 0.83837890625}, {"start": 557.89, "end": 558.75, "word": " inverse", "probability": 0.91650390625}, {"start": 558.75, "end": 560.07, "word": " واحد", "probability": 0.952880859375}, {"start": 560.07, "end": 560.43, "word": " على", "probability": 0.85498046875}, {"start": 560.43, "end": 560.91, "word": " جذر", "probability": 0.9913736979166666}, {"start": 560.91, "end": 561.29, "word": " اتنين", "probability": 0.9879150390625}, {"start": 561.29, "end": 561.79, "word": " بالشكل", "probability": 0.9217122395833334}, {"start": 561.79, "end": 562.11, "word": " الهن", "probability": 0.55078125}, {"start": 562.11, "end": 562.41, "word": " هذا", "probability": 0.6298828125}], "temperature": 1.0}, {"id": 27, "seek": 58319, "start": 563.03, "end": 583.19, "text": "طيب هذا الكلام بده يساوي اتنين تربيه تاني قداش اربع يبقى هذا اربع مرفوع للاص logarithm باي للاساس اربع للاساس اربع ناقص باي زائد", "tokens": [9566, 1829, 3555, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 6055, 2288, 21292, 3224, 6055, 7649, 1829, 12174, 3215, 33599, 1975, 25513, 3615, 7251, 3555, 4587, 7578, 23758, 1975, 25513, 3615, 3714, 28480, 45367, 24976, 33546, 41473, 32674, 4724, 47302, 24976, 32277, 32277, 1975, 25513, 3615, 24976, 32277, 32277, 1975, 25513, 3615, 8717, 995, 4587, 9381, 4724, 47302, 30767, 16373, 3215], "avg_logprob": -0.19146286318267602, "compression_ratio": 1.6, "no_speech_prob": 0.0, "words": [{"start": 563.03, "end": 563.45, "word": "طيب", "probability": 0.8557942708333334}, {"start": 563.45, "end": 563.81, "word": " هذا", "probability": 0.72705078125}, {"start": 563.81, "end": 564.21, "word": " الكلام", "probability": 0.9451497395833334}, {"start": 564.21, "end": 564.55, "word": " بده", "probability": 0.4600830078125}, {"start": 564.55, "end": 565.01, "word": " يساوي", "probability": 0.932861328125}, {"start": 565.01, "end": 566.39, "word": " اتنين", "probability": 0.8935546875}, {"start": 566.39, "end": 567.27, "word": " تربيه", "probability": 0.8233642578125}, {"start": 567.27, "end": 567.65, "word": " تاني", "probability": 0.8746744791666666}, {"start": 567.65, "end": 568.33, "word": " قداش", "probability": 0.6492513020833334}, {"start": 568.33, "end": 569.17, "word": " اربع", "probability": 0.7950846354166666}, {"start": 569.17, "end": 570.11, "word": " يبقى", "probability": 0.9427490234375}, {"start": 570.11, "end": 570.51, "word": " هذا", "probability": 0.8984375}, {"start": 570.51, "end": 571.17, "word": " اربع", "probability": 0.89306640625}, {"start": 571.17, "end": 571.93, "word": " مرفوع", "probability": 0.8308919270833334}, {"start": 571.93, "end": 572.59, "word": " للاص", "probability": 0.57568359375}, {"start": 572.59, "end": 573.69, "word": " logarithm", "probability": 0.889404296875}, {"start": 573.69, "end": 574.65, "word": " باي", "probability": 0.674072265625}, {"start": 574.65, "end": 576.15, "word": " للاساس", "probability": 0.8992513020833334}, {"start": 576.15, "end": 577.03, "word": " اربع", "probability": 0.8971354166666666}, {"start": 577.03, "end": 578.81, "word": " للاساس", "probability": 0.89111328125}, {"start": 578.81, "end": 579.41, "word": " اربع", "probability": 0.9529622395833334}, {"start": 579.41, "end": 581.07, "word": " ناقص", "probability": 0.9713134765625}, {"start": 581.07, "end": 581.77, "word": " باي", "probability": 0.835205078125}, {"start": 581.77, "end": 583.19, "word": " زائد", "probability": 0.9080403645833334}], "temperature": 1.0}, {"id": 28, "seek": 61117, "start": 583.92, "end": 611.18, "text": "هذه ناقص ناقص اتزاد Cos inverse واحد على جذر اتنين طبعا اذا اعطيتك مثال زاده اللي هو كان Cos اول مثال اخدته في هذا ال section كان Cos inverse نص قلنا خد θ بCos inverse نص اثر على الطرف المجوسية صار Cos θ يساوي نص يبقى الزاوية θ هي بقايا تلاتة يبقى مين الزاوية اللي جيب تماما واحد على جذر اتنين", "tokens": [3224, 24192, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 1975, 2655, 11622, 18513, 15855, 17340, 36764, 24401, 15844, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 23032, 3555, 3615, 995, 1975, 15730, 1975, 3615, 9566, 36081, 4117, 50113, 6027, 30767, 18513, 3224, 13672, 1829, 31439, 25961, 15855, 1975, 12610, 50113, 6027, 1975, 9778, 3215, 47395, 8978, 23758, 2423, 3541, 25961, 15855, 17340, 8717, 9381, 12174, 1211, 8315, 16490, 3215, 12622, 4724, 34, 329, 17340, 8717, 9381, 1975, 49115, 15844, 41950, 28480, 9673, 7435, 41779, 10632, 20328, 9640, 15855, 12622, 7251, 3794, 995, 45865, 8717, 9381, 7251, 3555, 4587, 7578, 6024, 110, 995, 2407, 10632, 12622, 39896, 4724, 4587, 995, 25528, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 3714, 9957, 6024, 110, 995, 2407, 10632, 13672, 1829, 10874, 1829, 3555, 46811, 10943, 995, 36764, 24401, 15844, 10874, 8848, 2288, 1975, 2655, 1863, 9957], "avg_logprob": -0.2632378397716416, "compression_ratio": 1.9795081967213115, "no_speech_prob": 0.0, "words": [{"start": 583.92, "end": 584.58, "word": "هذه", "probability": 0.55517578125}, {"start": 584.58, "end": 585.62, "word": " ناقص", "probability": 0.76043701171875}, {"start": 585.62, "end": 586.02, "word": " ناقص", "probability": 0.9603271484375}, {"start": 586.02, "end": 586.32, "word": " اتزاد", "probability": 0.67584228515625}, {"start": 586.32, "end": 586.64, "word": " Cos", "probability": 0.157470703125}, {"start": 586.64, "end": 587.2, "word": " inverse", "probability": 0.521484375}, {"start": 587.2, "end": 587.7, "word": " واحد", "probability": 0.8720703125}, {"start": 587.7, "end": 588.18, "word": " على", "probability": 0.76708984375}, {"start": 588.18, "end": 588.9, "word": " جذر", "probability": 0.7587076822916666}, {"start": 588.9, "end": 589.38, "word": " اتنين", "probability": 0.9530029296875}, {"start": 589.38, "end": 590.28, "word": " طبعا", "probability": 0.907470703125}, {"start": 590.28, "end": 590.8, "word": " اذا", "probability": 0.790771484375}, {"start": 590.8, "end": 591.3, "word": " اعطيتك", "probability": 0.7350341796875}, {"start": 591.3, "end": 591.7, "word": " مثال", "probability": 0.984130859375}, {"start": 591.7, "end": 592.04, "word": " زاده", "probability": 0.4798990885416667}, {"start": 592.04, "end": 592.22, "word": " اللي", "probability": 0.806396484375}, {"start": 592.22, "end": 592.42, "word": " هو", "probability": 0.52880859375}, {"start": 592.42, "end": 592.68, "word": " كان", "probability": 0.78759765625}, {"start": 592.68, "end": 593.08, "word": " Cos", "probability": 0.276611328125}, {"start": 593.08, "end": 593.74, "word": " اول", "probability": 0.7291259765625}, {"start": 593.74, "end": 594.2, "word": " مثال", "probability": 0.97314453125}, {"start": 594.2, "end": 594.66, "word": " اخدته", "probability": 0.860595703125}, {"start": 594.66, "end": 594.82, "word": " في", "probability": 0.7822265625}, {"start": 594.82, "end": 595.02, "word": " هذا", "probability": 0.791015625}, {"start": 595.02, "end": 595.1, "word": " ال", "probability": 0.489990234375}, {"start": 595.1, "end": 595.46, "word": " section", "probability": 0.654296875}, {"start": 595.46, "end": 596.1, "word": " كان", "probability": 0.98095703125}, {"start": 596.1, "end": 596.56, "word": " Cos", "probability": 0.8798828125}, {"start": 596.56, "end": 597.48, "word": " inverse", "probability": 0.88623046875}, {"start": 597.48, "end": 597.92, "word": " نص", "probability": 0.9814453125}, {"start": 597.92, "end": 598.66, "word": " قلنا", "probability": 0.7355143229166666}, {"start": 598.66, "end": 598.94, "word": " خد", "probability": 0.948974609375}, {"start": 598.94, "end": 599.2, "word": " θ", "probability": 0.482666015625}, {"start": 599.2, "end": 599.74, "word": " بCos", "probability": 0.8401692708333334}, {"start": 599.74, "end": 600.18, "word": " inverse", "probability": 0.90234375}, {"start": 600.18, "end": 600.58, "word": " نص", "probability": 0.99365234375}, {"start": 600.58, "end": 601.32, "word": " اثر", "probability": 0.811279296875}, {"start": 601.32, "end": 601.52, "word": " على", "probability": 0.9052734375}, {"start": 601.52, "end": 601.84, "word": " الطرف", "probability": 0.73779296875}, {"start": 601.84, "end": 602.28, "word": " المجوسية", "probability": 0.4639892578125}, {"start": 602.28, "end": 602.52, "word": " صار", "probability": 0.83544921875}, {"start": 602.52, "end": 602.8, "word": " Cos", "probability": 0.79736328125}, {"start": 602.8, "end": 603.18, "word": " θ", "probability": 0.75732421875}, {"start": 603.18, "end": 603.78, "word": " يساوي", "probability": 0.70819091796875}, {"start": 603.78, "end": 604.1, "word": " نص", "probability": 0.99560546875}, {"start": 604.1, "end": 604.72, "word": " يبقى", "probability": 0.957763671875}, {"start": 604.72, "end": 604.98, "word": " الزاوية", "probability": 0.861474609375}, {"start": 604.98, "end": 605.24, "word": " θ", "probability": 0.61767578125}, {"start": 605.24, "end": 605.56, "word": " هي", "probability": 0.8798828125}, {"start": 605.56, "end": 606.08, "word": " بقايا", "probability": 0.62359619140625}, {"start": 606.08, "end": 606.72, "word": " تلاتة", "probability": 0.899658203125}, {"start": 606.72, "end": 607.42, "word": " يبقى", "probability": 0.98046875}, {"start": 607.42, "end": 607.7, "word": " مين", "probability": 0.699462890625}, {"start": 607.7, "end": 608.32, "word": " الزاوية", "probability": 0.9029296875}, {"start": 608.32, "end": 608.56, "word": " اللي", "probability": 0.888916015625}, {"start": 608.56, "end": 608.88, "word": " جيب", "probability": 0.8453776041666666}, {"start": 608.88, "end": 609.4, "word": " تماما", "probability": 0.8026529947916666}, {"start": 609.4, "end": 609.8, "word": " واحد", "probability": 0.981689453125}, {"start": 609.8, "end": 610.02, "word": " على", "probability": 0.89697265625}, {"start": 610.02, "end": 610.52, "word": " جذر", "probability": 0.9796549479166666}, {"start": 610.52, "end": 611.18, "word": " اتنين", "probability": 0.993408203125}], "temperature": 1.0}, {"id": 29, "seek": 63475, "start": 611.45, "end": 634.75, "text": "خمسة وأربعين يبقى باي على أربعة إذا هذا المقدار كله بقدر أقول باي على أربعة و يساوي هنا الأساس أربعة وهنا الأساس أربعة يبقى هذا المقدار كله يساوي جداش باي يبقى هاي باي وهاي ناقص باي وهاي زائد باي على أربعة يبقى الجواب كله جداش", "tokens": [9778, 2304, 3794, 3660, 36725, 25513, 3615, 9957, 7251, 3555, 4587, 7578, 4724, 47302, 15844, 5551, 25513, 27884, 11933, 15730, 23758, 9673, 28543, 9640, 28242, 3224, 4724, 28543, 2288, 5551, 39648, 4724, 47302, 15844, 5551, 25513, 27884, 4032, 7251, 3794, 995, 45865, 34105, 16247, 3794, 32277, 5551, 25513, 27884, 37037, 8315, 16247, 3794, 32277, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 23758, 9673, 28543, 9640, 28242, 3224, 7251, 3794, 995, 45865, 10874, 3215, 33599, 4724, 47302, 7251, 3555, 4587, 7578, 8032, 47302, 4724, 47302, 37037, 47302, 8717, 995, 4587, 9381, 4724, 47302, 37037, 47302, 30767, 16373, 3215, 4724, 47302, 15844, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 28242, 3224, 10874, 3215, 33599], "avg_logprob": -0.23087283853313018, "compression_ratio": 2.55, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 611.45, "end": 612.03, "word": "خمسة", "probability": 0.7006988525390625}, {"start": 612.03, "end": 612.45, "word": " وأربعين", "probability": 0.6024169921875}, {"start": 612.45, "end": 612.61, "word": " يبقى", "probability": 0.632080078125}, {"start": 612.61, "end": 612.77, "word": " باي", "probability": 0.634033203125}, {"start": 612.77, "end": 612.95, "word": " على", "probability": 0.734375}, {"start": 612.95, "end": 613.41, "word": " أربعة", "probability": 0.8753255208333334}, {"start": 613.41, "end": 614.01, "word": " إذا", "probability": 0.536865234375}, {"start": 614.01, "end": 614.41, "word": " هذا", "probability": 0.471435546875}, {"start": 614.41, "end": 615.19, "word": " المقدار", "probability": 0.84033203125}, {"start": 615.19, "end": 615.85, "word": " كله", "probability": 0.89794921875}, {"start": 615.85, "end": 616.57, "word": " بقدر", "probability": 0.8732096354166666}, {"start": 616.57, "end": 616.97, "word": " أقول", "probability": 0.876220703125}, {"start": 616.97, "end": 617.75, "word": " باي", "probability": 0.8115234375}, {"start": 617.75, "end": 618.11, "word": " على", "probability": 0.900390625}, {"start": 618.11, "end": 618.79, "word": " أربعة", "probability": 0.93212890625}, {"start": 618.79, "end": 618.95, "word": " و", "probability": 0.7236328125}, {"start": 618.95, "end": 619.59, "word": " يساوي", "probability": 0.6964111328125}, {"start": 619.59, "end": 620.51, "word": " هنا", "probability": 0.58251953125}, {"start": 620.51, "end": 621.15, "word": " الأساس", "probability": 0.9757486979166666}, {"start": 621.15, "end": 621.67, "word": " أربعة", "probability": 0.935546875}, {"start": 621.67, "end": 622.03, "word": " وهنا", "probability": 0.760498046875}, {"start": 622.03, "end": 622.65, "word": " الأساس", "probability": 0.96533203125}, {"start": 622.65, "end": 623.43, "word": " أربعة", "probability": 0.94677734375}, {"start": 623.43, "end": 624.17, "word": " يبقى", "probability": 0.96533203125}, {"start": 624.17, "end": 624.41, "word": " هذا", "probability": 0.90771484375}, {"start": 624.41, "end": 624.91, "word": " المقدار", "probability": 0.978515625}, {"start": 624.91, "end": 625.19, "word": " كله", "probability": 0.955078125}, {"start": 625.19, "end": 625.51, "word": " يساوي", "probability": 0.9544677734375}, {"start": 625.51, "end": 626.23, "word": " جداش", "probability": 0.6941731770833334}, {"start": 626.23, "end": 626.87, "word": " باي", "probability": 0.8515625}, {"start": 626.87, "end": 627.91, "word": " يبقى", "probability": 0.9793701171875}, {"start": 627.91, "end": 628.19, "word": " هاي", "probability": 0.6376953125}, {"start": 628.19, "end": 628.87, "word": " باي", "probability": 0.88427734375}, {"start": 628.87, "end": 629.29, "word": " وهاي", "probability": 0.649169921875}, {"start": 629.29, "end": 629.95, "word": " ناقص", "probability": 0.979248046875}, {"start": 629.95, "end": 630.41, "word": " باي", "probability": 0.89794921875}, {"start": 630.41, "end": 631.07, "word": " وهاي", "probability": 0.84716796875}, {"start": 631.07, "end": 631.55, "word": " زائد", "probability": 0.8255208333333334}, {"start": 631.55, "end": 631.85, "word": " باي", "probability": 0.775390625}, {"start": 631.85, "end": 632.09, "word": " على", "probability": 0.91552734375}, {"start": 632.09, "end": 632.65, "word": " أربعة", "probability": 0.9563802083333334}, {"start": 632.65, "end": 633.33, "word": " يبقى", "probability": 0.9869384765625}, {"start": 633.33, "end": 633.73, "word": " الجواب", "probability": 0.9069010416666666}, {"start": 633.73, "end": 634.09, "word": " كله", "probability": 0.9580078125}, {"start": 634.09, "end": 634.75, "word": " جداش", "probability": 0.92529296875}], "temperature": 1.0}, {"id": 30, "seek": 65522, "start": 635.22, "end": 655.22, "text": "يبقى كل المقدار هذا الإجابة تبعت وهي عبارة عن باي على أربع نروح للمثال رقم تلاتة وهذا المثال جئنا به كسؤال في إحدى امتحانات أعمال الفصل السابقة السؤال اللي بيقول هي solve", "tokens": [1829, 3555, 4587, 7578, 28242, 9673, 28543, 9640, 23758, 33688, 7435, 16758, 3660, 6055, 3555, 34268, 37037, 1829, 6225, 3555, 9640, 3660, 18871, 4724, 47302, 15844, 5551, 25513, 3615, 8717, 32887, 5016, 5296, 19528, 12984, 6027, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 37037, 15730, 9673, 12984, 6027, 10874, 19986, 8315, 39627, 9122, 3794, 33604, 6027, 8978, 11933, 24401, 7578, 1975, 2304, 2655, 5016, 7649, 9307, 5551, 25957, 6027, 27188, 36520, 21136, 16758, 28671, 21136, 33604, 6027, 13672, 1829, 4724, 1829, 39648, 39896, 5039], "avg_logprob": -0.16397058122298297, "compression_ratio": 1.6703296703296704, "no_speech_prob": 0.0, "words": [{"start": 635.22, "end": 635.96, "word": "يبقى", "probability": 0.7982177734375}, {"start": 635.96, "end": 636.36, "word": " كل", "probability": 0.90625}, {"start": 636.36, "end": 637.14, "word": " المقدار", "probability": 0.695556640625}, {"start": 637.14, "end": 637.44, "word": " هذا", "probability": 0.79248046875}, {"start": 637.44, "end": 638.06, "word": " الإجابة", "probability": 0.9444580078125}, {"start": 638.06, "end": 638.58, "word": " تبعت", "probability": 0.7584635416666666}, {"start": 638.58, "end": 638.96, "word": " وهي", "probability": 0.83154296875}, {"start": 638.96, "end": 639.44, "word": " عبارة", "probability": 0.9837646484375}, {"start": 639.44, "end": 639.66, "word": " عن", "probability": 0.98583984375}, {"start": 639.66, "end": 640.26, "word": " باي", "probability": 0.4638671875}, {"start": 640.26, "end": 641.18, "word": " على", "probability": 0.79541015625}, {"start": 641.18, "end": 641.86, "word": " أربع", "probability": 0.8382161458333334}, {"start": 641.86, "end": 643.04, "word": " نروح", "probability": 0.7234700520833334}, {"start": 643.04, "end": 643.7, "word": " للمثال", "probability": 0.9351806640625}, {"start": 643.7, "end": 644.32, "word": " رقم", "probability": 0.9021809895833334}, {"start": 644.32, "end": 645.04, "word": " تلاتة", "probability": 0.8857421875}, {"start": 645.04, "end": 645.6, "word": " وهذا", "probability": 0.897216796875}, {"start": 645.6, "end": 646.42, "word": " المثال", "probability": 0.9856770833333334}, {"start": 646.42, "end": 647.34, "word": " جئنا", "probability": 0.9189453125}, {"start": 647.34, "end": 647.66, "word": " به", "probability": 0.80419921875}, {"start": 647.66, "end": 648.44, "word": " كسؤال", "probability": 0.98388671875}, {"start": 648.44, "end": 648.7, "word": " في", "probability": 0.96435546875}, {"start": 648.7, "end": 649.12, "word": " إحدى", "probability": 0.9249674479166666}, {"start": 649.12, "end": 649.84, "word": " امتحانات", "probability": 0.97412109375}, {"start": 649.84, "end": 650.34, "word": " أعمال", "probability": 0.9690755208333334}, {"start": 650.34, "end": 651.04, "word": " الفصل", "probability": 0.912841796875}, {"start": 651.04, "end": 652.6, "word": " السابقة", "probability": 0.9884440104166666}, {"start": 652.6, "end": 653.5, "word": " السؤال", "probability": 0.9803059895833334}, {"start": 653.5, "end": 653.6, "word": " اللي", "probability": 0.89794921875}, {"start": 653.6, "end": 653.92, "word": " بيقول", "probability": 0.9373372395833334}, {"start": 653.92, "end": 654.22, "word": " هي", "probability": 0.2086181640625}, {"start": 654.22, "end": 655.22, "word": " solve", "probability": 0.77587890625}], "temperature": 1.0}, {"id": 31, "seek": 67890, "start": 656.44, "end": 678.9, "text": "for x حل بالنسبالي x cosine inverse لسالب x ناقص لن x في E cosine inverse E cosine inverse x تمام كل هذا الكلام بدي يساوي باي علتني", "tokens": [2994, 2031, 11331, 1211, 20666, 1863, 35457, 6027, 1829, 2031, 23565, 17340, 5296, 3794, 6027, 3555, 2031, 8717, 995, 4587, 9381, 5296, 1863, 2031, 8978, 462, 23565, 17340, 462, 23565, 17340, 2031, 46811, 10943, 28242, 23758, 2423, 28820, 10943, 4724, 16254, 7251, 3794, 995, 45865, 4724, 47302, 11203, 2655, 22653], "avg_logprob": -0.3869485329179203, "compression_ratio": 1.488, "no_speech_prob": 0.0, "words": [{"start": 656.44, "end": 657.32, "word": "for", "probability": 0.216064453125}, {"start": 657.32, "end": 658.0, "word": " x", "probability": 0.82421875}, {"start": 658.0, "end": 658.8, "word": " حل", "probability": 0.6026611328125}, {"start": 658.8, "end": 659.64, "word": " بالنسبالي", "probability": 0.826123046875}, {"start": 659.64, "end": 660.18, "word": " x", "probability": 0.2890625}, {"start": 660.18, "end": 661.52, "word": " cosine", "probability": 0.352294921875}, {"start": 661.52, "end": 662.74, "word": " inverse", "probability": 0.9189453125}, {"start": 662.74, "end": 663.9, "word": " لسالب", "probability": 0.74359130859375}, {"start": 663.9, "end": 664.44, "word": " x", "probability": 0.97216796875}, {"start": 664.44, "end": 665.8, "word": " ناقص", "probability": 0.77783203125}, {"start": 665.8, "end": 666.52, "word": " لن", "probability": 0.4586181640625}, {"start": 666.52, "end": 667.28, "word": " x", "probability": 0.95263671875}, {"start": 667.28, "end": 668.06, "word": " في", "probability": 0.87109375}, {"start": 668.06, "end": 668.46, "word": " E", "probability": 0.60107421875}, {"start": 668.46, "end": 669.16, "word": " cosine", "probability": 0.51171875}, {"start": 669.16, "end": 670.46, "word": " inverse", "probability": 0.86328125}, {"start": 670.46, "end": 671.38, "word": " E", "probability": 0.84033203125}, {"start": 671.38, "end": 672.1, "word": " cosine", "probability": 0.8818359375}, {"start": 672.1, "end": 673.06, "word": " inverse", "probability": 0.83642578125}, {"start": 673.06, "end": 673.88, "word": " x", "probability": 0.83740234375}, {"start": 673.88, "end": 675.18, "word": " تمام", "probability": 0.950927734375}, {"start": 675.18, "end": 675.62, "word": " كل", "probability": 0.81689453125}, {"start": 675.62, "end": 675.98, "word": " هذا", "probability": 0.9375}, {"start": 675.98, "end": 676.48, "word": " الكلام", "probability": 0.94482421875}, {"start": 676.48, "end": 676.76, "word": " بدي", "probability": 0.513671875}, {"start": 676.76, "end": 677.3, "word": " يساوي", "probability": 0.720703125}, {"start": 677.3, "end": 677.86, "word": " باي", "probability": 0.4310302734375}, {"start": 677.86, "end": 678.9, "word": " علتني", "probability": 0.5697428385416666}], "temperature": 1.0}, {"id": 32, "seek": 68877, "start": 681.17, "end": 688.77, "text": "يقول الحل المعادلة اللي عندي هذي وشوف انك ادهاش الإجابة تلتها، هنقوله بسيطة", "tokens": [1829, 39648, 21542, 1211, 9673, 3615, 18513, 37977, 13672, 1829, 18871, 16254, 8032, 8848, 1829, 4032, 8592, 38688, 16472, 4117, 1975, 3215, 3224, 33599, 33688, 7435, 16758, 3660, 6055, 1211, 2655, 11296, 12399, 8032, 1863, 39648, 3224, 4724, 3794, 1829, 9566, 3660], "avg_logprob": -0.41388080702271574, "compression_ratio": 1.4081632653061225, "no_speech_prob": 0.0, "words": [{"start": 681.17, "end": 681.55, "word": "يقول", "probability": 0.379150390625}, {"start": 681.55, "end": 681.95, "word": " الحل", "probability": 0.6475830078125}, {"start": 681.95, "end": 682.77, "word": " المعادلة", "probability": 0.9490966796875}, {"start": 682.77, "end": 683.39, "word": " اللي", "probability": 0.709716796875}, {"start": 683.39, "end": 683.83, "word": " عندي", "probability": 0.558349609375}, {"start": 683.83, "end": 684.51, "word": " هذي", "probability": 0.5555826822916666}, {"start": 684.51, "end": 684.97, "word": " وشوف", "probability": 0.78466796875}, {"start": 684.97, "end": 685.27, "word": " انك", "probability": 0.67431640625}, {"start": 685.27, "end": 685.87, "word": " ادهاش", "probability": 0.60565185546875}, {"start": 685.87, "end": 686.59, "word": " الإجابة", "probability": 0.9200439453125}, {"start": 686.59, "end": 687.67, "word": " تلتها،", "probability": 0.5302734375}, {"start": 687.67, "end": 688.21, "word": " هنقوله", "probability": 0.6395263671875}, {"start": 688.21, "end": 688.77, "word": " بسيطة", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 33, "seek": 71710, "start": 690.96, "end": 717.1, "text": "يبقى المطلوب من هذه المثلة انه اجيب قداش القيمة العددية بالنسبة ل X انه يقول الـSol4X من قبله بسيطة الحلقة التالية يبقى بدك تستخدم ايش عندك من المعلومات في هذا ال section او ال sections الماضية عشان نقدر نحصل على X لوحدها فCos-X هي Pi", "tokens": [1829, 3555, 4587, 7578, 9673, 9566, 1211, 37746, 9154, 29538, 9673, 12984, 37977, 16472, 3224, 1975, 7435, 1829, 3555, 12174, 3215, 33599, 25062, 32640, 3660, 18863, 3215, 3215, 10632, 20666, 1863, 35457, 3660, 5296, 1783, 16472, 3224, 7251, 39648, 2423, 39184, 50, 401, 19, 55, 9154, 12174, 36150, 3224, 4724, 3794, 1829, 9566, 3660, 21542, 1211, 28671, 16712, 6027, 10632, 7251, 3555, 4587, 7578, 47525, 4117, 6055, 14851, 9778, 40448, 1975, 1829, 8592, 43242, 4117, 9154, 9673, 30241, 20498, 9307, 8978, 23758, 2423, 3541, 1975, 2407, 2423, 10863, 9673, 46958, 10632, 6225, 8592, 7649, 8717, 28543, 2288, 8717, 5016, 36520, 15844, 1783, 45164, 24401, 11296, 6156, 34, 329, 12, 55, 39896, 17741], "avg_logprob": -0.3033738811459162, "compression_ratio": 1.6666666666666667, "no_speech_prob": 0.0, "words": [{"start": 690.96, "end": 691.58, "word": "يبقى", "probability": 0.599395751953125}, {"start": 691.58, "end": 692.26, "word": " المطلوب", "probability": 0.93212890625}, {"start": 692.26, "end": 692.42, "word": " من", "probability": 0.8369140625}, {"start": 692.42, "end": 692.78, "word": " هذه", "probability": 0.89111328125}, {"start": 692.78, "end": 693.32, "word": " المثلة", "probability": 0.8859049479166666}, {"start": 693.32, "end": 693.66, "word": " انه", "probability": 0.454345703125}, {"start": 693.66, "end": 694.0, "word": " اجيب", "probability": 0.78997802734375}, {"start": 694.0, "end": 694.6, "word": " قداش", "probability": 0.8056640625}, {"start": 694.6, "end": 695.22, "word": " القيمة", "probability": 0.87255859375}, {"start": 695.22, "end": 695.82, "word": " العددية", "probability": 0.9522705078125}, {"start": 695.82, "end": 696.5, "word": " بالنسبة", "probability": 0.974853515625}, {"start": 696.5, "end": 696.62, "word": " ل", "probability": 0.8447265625}, {"start": 696.62, "end": 696.88, "word": " X", "probability": 0.494140625}, {"start": 696.88, "end": 697.42, "word": " انه", "probability": 0.2880859375}, {"start": 697.42, "end": 697.6, "word": " يقول", "probability": 0.550537109375}, {"start": 697.6, "end": 699.42, "word": " الـSol4X", "probability": 0.4424641927083333}, {"start": 699.42, "end": 700.12, "word": " من", "probability": 0.5087890625}, {"start": 700.12, "end": 700.44, "word": " قبله", "probability": 0.5428873697916666}, {"start": 700.44, "end": 700.98, "word": " بسيطة", "probability": 0.95283203125}, {"start": 700.98, "end": 701.64, "word": " الحلقة", "probability": 0.8826497395833334}, {"start": 701.64, "end": 702.24, "word": " التالية", "probability": 0.98095703125}, {"start": 702.24, "end": 703.24, "word": " يبقى", "probability": 0.9630126953125}, {"start": 703.24, "end": 703.6, "word": " بدك", "probability": 0.846435546875}, {"start": 703.6, "end": 704.34, "word": " تستخدم", "probability": 0.9844970703125}, {"start": 704.34, "end": 704.86, "word": " ايش", "probability": 0.81201171875}, {"start": 704.86, "end": 705.52, "word": " عندك", "probability": 0.98046875}, {"start": 705.52, "end": 705.78, "word": " من", "probability": 0.9609375}, {"start": 705.78, "end": 706.64, "word": " المعلومات", "probability": 0.9180908203125}, {"start": 706.64, "end": 706.84, "word": " في", "probability": 0.86474609375}, {"start": 706.84, "end": 707.18, "word": " هذا", "probability": 0.58740234375}, {"start": 707.18, "end": 707.32, "word": " ال", "probability": 0.8798828125}, {"start": 707.32, "end": 707.7, "word": " section", "probability": 0.4833984375}, {"start": 707.7, "end": 708.44, "word": " او", "probability": 0.83837890625}, {"start": 708.44, "end": 708.58, "word": " ال", "probability": 0.81787109375}, {"start": 708.58, "end": 709.06, "word": " sections", "probability": 0.8427734375}, {"start": 709.06, "end": 710.02, "word": " الماضية", "probability": 0.9943033854166666}, {"start": 710.02, "end": 710.78, "word": " عشان", "probability": 0.7638346354166666}, {"start": 710.78, "end": 711.22, "word": " نقدر", "probability": 0.8590494791666666}, {"start": 711.22, "end": 711.68, "word": " نحصل", "probability": 0.97900390625}, {"start": 711.68, "end": 711.96, "word": " على", "probability": 0.8662109375}, {"start": 711.96, "end": 712.34, "word": " X", "probability": 0.94921875}, {"start": 712.34, "end": 713.02, "word": " لوحدها", "probability": 0.9357096354166666}, {"start": 713.02, "end": 714.54, "word": " فCos", "probability": 0.6294759114583334}, {"start": 714.54, "end": 716.06, "word": "-X", "probability": 0.496246337890625}, {"start": 716.06, "end": 716.38, "word": " هي", "probability": 0.80615234375}, {"start": 716.38, "end": 717.1, "word": " Pi", "probability": 0.2254638671875}], "temperature": 1.0}, {"id": 34, "seek": 74323, "start": 717.39, "end": 743.23, "text": "ناقص cosine inverse X يبقى هذي باي ناقص cosine inverse X خلصنا من الterm الأول اللي بعده لن هذه عبارة عن لن لمين لحاصل ضرب مقدرين يبقى لن الأول زائد لن الثاني وفي هناك شر السلب برا سالب لن الأول سالب لن الثاني", "tokens": [1863, 995, 4587, 9381, 23565, 17340, 1783, 7251, 3555, 4587, 7578, 8032, 8848, 1829, 4724, 47302, 8717, 995, 4587, 9381, 23565, 17340, 1783, 16490, 1211, 9381, 8315, 9154, 2423, 7039, 16247, 12610, 13672, 1829, 39182, 3224, 5296, 1863, 29538, 6225, 3555, 9640, 3660, 18871, 5296, 1863, 32767, 9957, 5296, 5016, 33546, 1211, 48812, 25513, 3714, 28543, 2288, 9957, 7251, 3555, 4587, 7578, 5296, 1863, 16247, 12610, 30767, 16373, 3215, 5296, 1863, 6024, 104, 7649, 1829, 4032, 41185, 34105, 4117, 13412, 2288, 21136, 46152, 4724, 23557, 8608, 6027, 3555, 5296, 1863, 16247, 12610, 8608, 6027, 3555, 5296, 1863, 6024, 104, 7649, 1829], "avg_logprob": -0.2827818577780443, "compression_ratio": 1.8494623655913978, "no_speech_prob": 0.0, "words": [{"start": 717.39, "end": 718.23, "word": "ناقص", "probability": 0.596099853515625}, {"start": 718.23, "end": 718.75, "word": " cosine", "probability": 0.548828125}, {"start": 718.75, "end": 719.25, "word": " inverse", "probability": 0.94580078125}, {"start": 719.25, "end": 719.85, "word": " X", "probability": 0.462646484375}, {"start": 719.85, "end": 720.75, "word": " يبقى", "probability": 0.8760986328125}, {"start": 720.75, "end": 721.25, "word": " هذي", "probability": 0.404052734375}, {"start": 721.25, "end": 721.71, "word": " باي", "probability": 0.473388671875}, {"start": 721.71, "end": 722.65, "word": " ناقص", "probability": 0.91943359375}, {"start": 722.65, "end": 723.21, "word": " cosine", "probability": 0.87353515625}, {"start": 723.21, "end": 723.85, "word": " inverse", "probability": 0.88916015625}, {"start": 723.85, "end": 724.11, "word": " X", "probability": 0.9765625}, {"start": 724.11, "end": 724.63, "word": " خلصنا", "probability": 0.90966796875}, {"start": 724.63, "end": 724.77, "word": " من", "probability": 0.96728515625}, {"start": 724.77, "end": 725.11, "word": " الterm", "probability": 0.571044921875}, {"start": 725.11, "end": 725.65, "word": " الأول", "probability": 0.919189453125}, {"start": 725.65, "end": 726.59, "word": " اللي", "probability": 0.812255859375}, {"start": 726.59, "end": 727.51, "word": " بعده", "probability": 0.923828125}, {"start": 727.51, "end": 728.31, "word": " لن", "probability": 0.6011962890625}, {"start": 728.31, "end": 728.99, "word": " هذه", "probability": 0.6494140625}, {"start": 728.99, "end": 729.49, "word": " عبارة", "probability": 0.985107421875}, {"start": 729.49, "end": 729.71, "word": " عن", "probability": 0.96337890625}, {"start": 729.71, "end": 730.17, "word": " لن", "probability": 0.96728515625}, {"start": 730.17, "end": 730.93, "word": " لمين", "probability": 0.7391357421875}, {"start": 730.93, "end": 731.95, "word": " لحاصل", "probability": 0.71258544921875}, {"start": 731.95, "end": 732.23, "word": " ضرب", "probability": 0.987548828125}, {"start": 732.23, "end": 733.35, "word": " مقدرين", "probability": 0.87451171875}, {"start": 733.35, "end": 734.09, "word": " يبقى", "probability": 0.9696044921875}, {"start": 734.09, "end": 734.35, "word": " لن", "probability": 0.9501953125}, {"start": 734.35, "end": 735.03, "word": " الأول", "probability": 0.969970703125}, {"start": 735.03, "end": 736.05, "word": " زائد", "probability": 0.8268229166666666}, {"start": 736.05, "end": 736.29, "word": " لن", "probability": 0.979736328125}, {"start": 736.29, "end": 736.63, "word": " الثاني", "probability": 0.84033203125}, {"start": 736.63, "end": 736.81, "word": " وفي", "probability": 0.5140380859375}, {"start": 736.81, "end": 737.07, "word": " هناك", "probability": 0.340972900390625}, {"start": 737.07, "end": 737.31, "word": " شر", "probability": 0.631591796875}, {"start": 737.31, "end": 737.73, "word": " السلب", "probability": 0.704833984375}, {"start": 737.73, "end": 738.33, "word": " برا", "probability": 0.868408203125}, {"start": 738.33, "end": 739.65, "word": " سالب", "probability": 0.61932373046875}, {"start": 739.65, "end": 739.97, "word": " لن", "probability": 0.986328125}, {"start": 739.97, "end": 740.59, "word": " الأول", "probability": 0.958740234375}, {"start": 740.59, "end": 741.51, "word": " سالب", "probability": 0.9607747395833334}, {"start": 741.51, "end": 742.15, "word": " لن", "probability": 0.9892578125}, {"start": 742.15, "end": 743.23, "word": " الثاني", "probability": 0.9613037109375}], "temperature": 1.0}, {"id": 35, "seek": 76233, "start": 743.61, "end": 762.33, "text": "يبقى هذه سالب لن ال X سالب لن E Cos Inverse X كله بده يسمى كده؟ Pi على 2 طيب هذه صارت Pi ناقص Cos Inverse X ناقص لن ال X ناقص", "tokens": [1829, 3555, 4587, 7578, 29538, 8608, 6027, 3555, 5296, 1863, 2423, 1783, 8608, 6027, 3555, 5296, 1863, 462, 15855, 682, 4308, 1783, 28242, 3224, 47525, 3224, 7251, 38251, 7578, 9122, 3215, 3224, 22807, 17741, 15844, 568, 23032, 1829, 3555, 29538, 20328, 9640, 2655, 17741, 8717, 995, 4587, 9381, 15855, 682, 4308, 1783, 8717, 995, 4587, 9381, 5296, 1863, 2423, 1783, 8717, 995, 4587, 9381], "avg_logprob": -0.30504807692307695, "compression_ratio": 1.4651162790697674, "no_speech_prob": 0.0, "words": [{"start": 743.61, "end": 744.27, "word": "يبقى", "probability": 0.850341796875}, {"start": 744.27, "end": 744.63, "word": " هذه", "probability": 0.487548828125}, {"start": 744.63, "end": 745.43, "word": " سالب", "probability": 0.7054850260416666}, {"start": 745.43, "end": 745.89, "word": " لن", "probability": 0.800048828125}, {"start": 745.89, "end": 746.15, "word": " ال", "probability": 0.59423828125}, {"start": 746.15, "end": 746.51, "word": " X", "probability": 0.5859375}, {"start": 746.51, "end": 747.57, "word": " سالب", "probability": 0.93310546875}, {"start": 747.57, "end": 748.27, "word": " لن", "probability": 0.980224609375}, {"start": 748.27, "end": 748.59, "word": " E", "probability": 0.9345703125}, {"start": 748.59, "end": 749.07, "word": " Cos", "probability": 0.2098388671875}, {"start": 749.07, "end": 750.31, "word": " Inverse", "probability": 0.6414794921875}, {"start": 750.31, "end": 750.77, "word": " X", "probability": 0.9677734375}, {"start": 750.77, "end": 751.49, "word": " كله", "probability": 0.834716796875}, {"start": 751.49, "end": 751.79, "word": " بده", "probability": 0.29364013671875}, {"start": 751.79, "end": 752.11, "word": " يسمى", "probability": 0.6226399739583334}, {"start": 752.11, "end": 752.93, "word": " كده؟", "probability": 0.76806640625}, {"start": 752.93, "end": 753.29, "word": " Pi", "probability": 0.1309814453125}, {"start": 753.29, "end": 753.57, "word": " على", "probability": 0.239501953125}, {"start": 753.57, "end": 753.89, "word": " 2", "probability": 0.6787109375}, {"start": 753.89, "end": 754.67, "word": " طيب", "probability": 0.8269856770833334}, {"start": 754.67, "end": 755.59, "word": " هذه", "probability": 0.56689453125}, {"start": 755.59, "end": 756.17, "word": " صارت", "probability": 0.9098307291666666}, {"start": 756.17, "end": 756.57, "word": " Pi", "probability": 0.51611328125}, {"start": 756.57, "end": 757.55, "word": " ناقص", "probability": 0.94970703125}, {"start": 757.55, "end": 757.91, "word": " Cos", "probability": 0.79345703125}, {"start": 757.91, "end": 759.05, "word": " Inverse", "probability": 0.89404296875}, {"start": 759.05, "end": 759.55, "word": " X", "probability": 0.98583984375}, {"start": 759.55, "end": 760.61, "word": " ناقص", "probability": 0.9864501953125}, {"start": 760.61, "end": 761.01, "word": " لن", "probability": 0.982421875}, {"start": 761.01, "end": 761.19, "word": " ال", "probability": 0.66064453125}, {"start": 761.19, "end": 761.49, "word": " X", "probability": 0.97314453125}, {"start": 761.49, "end": 762.33, "word": " ناقص", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 36, "seek": 77844, "start": 762.9, "end": 778.44, "text": "هذا الـ S بقدر أخده برا الـ Lin بصير sin inverse X في Lin الـ E يعني هذا فقط هو sin inverse X بدي ساوي Pi على 2", "tokens": [3224, 15730, 2423, 39184, 318, 4724, 28543, 2288, 5551, 9778, 3215, 3224, 4724, 23557, 2423, 39184, 9355, 4724, 9381, 13546, 3343, 17340, 1783, 8978, 9355, 2423, 39184, 462, 37495, 22653, 23758, 6156, 47432, 31439, 3343, 17340, 1783, 4724, 16254, 8608, 995, 45865, 17741, 15844, 568], "avg_logprob": -0.4252717320037925, "compression_ratio": 1.2857142857142858, "no_speech_prob": 0.0, "words": [{"start": 762.9, "end": 763.44, "word": "هذا", "probability": 0.766357421875}, {"start": 763.44, "end": 763.66, "word": " الـ", "probability": 0.5924072265625}, {"start": 763.66, "end": 763.94, "word": " S", "probability": 0.52978515625}, {"start": 763.94, "end": 764.38, "word": " بقدر", "probability": 0.6468912760416666}, {"start": 764.38, "end": 764.94, "word": " أخده", "probability": 0.7681884765625}, {"start": 764.94, "end": 765.64, "word": " برا", "probability": 0.7470703125}, {"start": 765.64, "end": 765.88, "word": " الـ", "probability": 0.5732421875}, {"start": 765.88, "end": 766.06, "word": " Lin", "probability": 0.2296142578125}, {"start": 766.06, "end": 766.92, "word": " بصير", "probability": 0.6307779947916666}, {"start": 766.92, "end": 767.38, "word": " sin", "probability": 0.28515625}, {"start": 767.38, "end": 768.02, "word": " inverse", "probability": 0.697265625}, {"start": 768.02, "end": 768.42, "word": " X", "probability": 0.64892578125}, {"start": 768.42, "end": 768.7, "word": " في", "probability": 0.68505859375}, {"start": 768.7, "end": 769.12, "word": " Lin", "probability": 0.6748046875}, {"start": 769.12, "end": 769.68, "word": " الـ", "probability": 0.580810546875}, {"start": 769.68, "end": 769.92, "word": " E", "probability": 0.8212890625}, {"start": 769.92, "end": 772.02, "word": " يعني", "probability": 0.73291015625}, {"start": 772.02, "end": 772.3, "word": " هذا", "probability": 0.7275390625}, {"start": 772.3, "end": 773.2, "word": " فقط", "probability": 0.97314453125}, {"start": 773.2, "end": 773.54, "word": " هو", "probability": 0.98291015625}, {"start": 773.54, "end": 774.24, "word": " sin", "probability": 0.8974609375}, {"start": 774.24, "end": 775.12, "word": " inverse", "probability": 0.853515625}, {"start": 775.12, "end": 775.68, "word": " X", "probability": 0.98974609375}, {"start": 775.68, "end": 776.34, "word": " بدي", "probability": 0.58544921875}, {"start": 776.34, "end": 776.92, "word": " ساوي", "probability": 0.6538899739583334}, {"start": 776.92, "end": 777.32, "word": " Pi", "probability": 0.42333984375}, {"start": 777.32, "end": 777.84, "word": " على", "probability": 0.615234375}, {"start": 777.84, "end": 778.44, "word": " 2", "probability": 0.6748046875}], "temperature": 1.0}, {"id": 37, "seek": 80268, "start": 779.22, "end": 802.68, "text": "يبقى هذه باي طلعلي لهذه هه وهذه في بينهم سالب عامل مشترك يبقى بقدر اخد سالب وبظل انك cosine inverse x زائد sine inverse x بظل ان هنا ناقص لان ال X بدي سوى جداش باي على اتنين شو رأيك؟ هذه باي", "tokens": [1829, 3555, 4587, 7578, 29538, 4724, 47302, 23032, 1211, 3615, 20292, 46740, 24192, 8032, 3224, 37037, 24192, 8978, 49374, 16095, 8608, 6027, 3555, 6225, 10943, 1211, 37893, 2655, 31747, 7251, 3555, 4587, 7578, 4724, 28543, 2288, 1975, 9778, 3215, 8608, 6027, 3555, 4032, 3555, 19913, 1211, 16472, 4117, 23565, 17340, 2031, 30767, 16373, 3215, 18609, 17340, 2031, 4724, 19913, 1211, 16472, 34105, 8717, 995, 4587, 9381, 5296, 7649, 2423, 1783, 4724, 16254, 8608, 2407, 7578, 10874, 3215, 33599, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 13412, 2407, 12602, 10721, 1829, 4117, 22807, 29538, 4724, 47302], "avg_logprob": -0.26318360430498916, "compression_ratio": 1.6684491978609626, "no_speech_prob": 0.0, "words": [{"start": 779.22, "end": 779.74, "word": "يبقى", "probability": 0.771484375}, {"start": 779.74, "end": 780.14, "word": " هذه", "probability": 0.587890625}, {"start": 780.14, "end": 780.62, "word": " باي", "probability": 0.4906005859375}, {"start": 780.62, "end": 781.44, "word": " طلعلي", "probability": 0.7896728515625}, {"start": 781.44, "end": 782.06, "word": " لهذه", "probability": 0.94921875}, {"start": 782.06, "end": 782.58, "word": " هه", "probability": 0.5406494140625}, {"start": 782.58, "end": 783.44, "word": " وهذه", "probability": 0.894287109375}, {"start": 783.44, "end": 784.08, "word": " في", "probability": 0.42919921875}, {"start": 784.08, "end": 784.62, "word": " بينهم", "probability": 0.95703125}, {"start": 784.62, "end": 785.02, "word": " سالب", "probability": 0.8665364583333334}, {"start": 785.02, "end": 785.44, "word": " عامل", "probability": 0.9039713541666666}, {"start": 785.44, "end": 786.04, "word": " مشترك", "probability": 0.9446614583333334}, {"start": 786.04, "end": 786.72, "word": " يبقى", "probability": 0.9537353515625}, {"start": 786.72, "end": 787.1, "word": " بقدر", "probability": 0.9231770833333334}, {"start": 787.1, "end": 787.46, "word": " اخد", "probability": 0.7654622395833334}, {"start": 787.46, "end": 788.24, "word": " سالب", "probability": 0.9557291666666666}, {"start": 788.24, "end": 789.02, "word": " وبظل", "probability": 0.631195068359375}, {"start": 789.02, "end": 789.48, "word": " انك", "probability": 0.4766845703125}, {"start": 789.48, "end": 789.9, "word": " cosine", "probability": 0.6572265625}, {"start": 789.9, "end": 790.54, "word": " inverse", "probability": 0.92822265625}, {"start": 790.54, "end": 791.1, "word": " x", "probability": 0.63525390625}, {"start": 791.1, "end": 792.1, "word": " زائد", "probability": 0.8531901041666666}, {"start": 792.1, "end": 792.84, "word": " sine", "probability": 0.470947265625}, {"start": 792.84, "end": 793.76, "word": " inverse", "probability": 0.884765625}, {"start": 793.76, "end": 794.28, "word": " x", "probability": 0.95947265625}, {"start": 794.28, "end": 794.98, "word": " بظل", "probability": 0.7916666666666666}, {"start": 794.98, "end": 795.16, "word": " ان", "probability": 0.6796875}, {"start": 795.16, "end": 795.4, "word": " هنا", "probability": 0.97705078125}, {"start": 795.4, "end": 796.22, "word": " ناقص", "probability": 0.9053955078125}, {"start": 796.22, "end": 796.62, "word": " لان", "probability": 0.86962890625}, {"start": 796.62, "end": 796.8, "word": " ال", "probability": 0.8994140625}, {"start": 796.8, "end": 797.14, "word": " X", "probability": 0.431396484375}, {"start": 797.14, "end": 797.46, "word": " بدي", "probability": 0.702880859375}, {"start": 797.46, "end": 797.74, "word": " سوى", "probability": 0.698974609375}, {"start": 797.74, "end": 798.44, "word": " جداش", "probability": 0.7154947916666666}, {"start": 798.44, "end": 799.14, "word": " باي", "probability": 0.721923828125}, {"start": 799.14, "end": 799.38, "word": " على", "probability": 0.736328125}, {"start": 799.38, "end": 800.66, "word": " اتنين", "probability": 0.957763671875}, {"start": 800.66, "end": 801.1, "word": " شو", "probability": 0.884765625}, {"start": 801.1, "end": 801.94, "word": " رأيك؟", "probability": 0.86416015625}, {"start": 801.94, "end": 802.26, "word": " هذه", "probability": 0.6484375}, {"start": 802.26, "end": 802.68, "word": " باي", "probability": 0.783203125}], "temperature": 1.0}, {"id": 38, "seek": 81310, "start": 803.62, "end": 813.1, "text": "ناقص بي على اتنين هذي ناقص بي على اتنين بده يساوي لن الاكس", "tokens": [1863, 995, 4587, 9381, 4724, 1829, 15844, 1975, 2655, 1863, 9957, 8032, 8848, 1829, 8717, 995, 4587, 9381, 4724, 1829, 15844, 1975, 2655, 1863, 9957, 47525, 3224, 7251, 3794, 995, 45865, 5296, 1863, 42963, 4117, 3794], "avg_logprob": -0.4539695881508492, "compression_ratio": 1.4246575342465753, "no_speech_prob": 0.0, "words": [{"start": 803.62, "end": 804.42, "word": "ناقص", "probability": 0.68994140625}, {"start": 804.42, "end": 806.96, "word": " بي", "probability": 0.456298828125}, {"start": 806.96, "end": 807.18, "word": " على", "probability": 0.7392578125}, {"start": 807.18, "end": 808.26, "word": " اتنين", "probability": 0.902099609375}, {"start": 808.26, "end": 809.02, "word": " هذي", "probability": 0.4059956868489583}, {"start": 809.02, "end": 809.68, "word": " ناقص", "probability": 0.861083984375}, {"start": 809.68, "end": 810.1, "word": " بي", "probability": 0.82666015625}, {"start": 810.1, "end": 810.36, "word": " على", "probability": 0.92333984375}, {"start": 810.36, "end": 810.98, "word": " اتنين", "probability": 0.9840087890625}, {"start": 810.98, "end": 811.64, "word": " بده", "probability": 0.3067626953125}, {"start": 811.64, "end": 812.08, "word": " يساوي", "probability": 0.886962890625}, {"start": 812.08, "end": 812.5, "word": " لن", "probability": 0.638671875}, {"start": 812.5, "end": 813.1, "word": " الاكس", "probability": 0.7433268229166666}], "temperature": 1.0}, {"id": 39, "seek": 84589, "start": 821.19, "end": 845.89, "text": "يبقى هذا سيعطيك أن زيرو يسوى مين لن ال X يبقى E أو زيرو يسوى E أسلن X يبقى هذا سيعطيك أن X يسوى E أو زيرو بقداش إذا حل المعادلة عبارة عن مين؟ عن X يسوى واحد", "tokens": [1829, 3555, 4587, 7578, 23758, 8608, 40228, 9566, 1829, 4117, 14739, 30767, 13546, 2407, 7251, 3794, 2407, 7578, 3714, 9957, 5296, 1863, 2423, 1783, 7251, 3555, 4587, 7578, 462, 34051, 30767, 13546, 2407, 7251, 3794, 2407, 7578, 462, 5551, 3794, 1211, 1863, 1783, 7251, 3555, 4587, 7578, 23758, 8608, 40228, 9566, 1829, 4117, 14739, 1783, 7251, 3794, 2407, 7578, 462, 34051, 30767, 13546, 2407, 4724, 28543, 33599, 11933, 15730, 11331, 1211, 9673, 3615, 18513, 37977, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 22807, 18871, 1783, 7251, 3794, 2407, 7578, 36764, 24401], "avg_logprob": -0.37500000712664233, "compression_ratio": 1.9280575539568345, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 821.1899999999999, "end": 822.43, "word": "يبقى", "probability": 0.72674560546875}, {"start": 822.43, "end": 822.73, "word": " هذا", "probability": 0.63330078125}, {"start": 822.73, "end": 823.85, "word": " سيعطيك", "probability": 0.688525390625}, {"start": 823.85, "end": 824.23, "word": " أن", "probability": 0.2890625}, {"start": 824.23, "end": 824.93, "word": " زيرو", "probability": 0.4886474609375}, {"start": 824.93, "end": 826.07, "word": " يسوى", "probability": 0.4752197265625}, {"start": 826.07, "end": 826.53, "word": " مين", "probability": 0.614501953125}, {"start": 826.53, "end": 827.49, "word": " لن", "probability": 0.517578125}, {"start": 827.49, "end": 827.77, "word": " ال", "probability": 0.45703125}, {"start": 827.77, "end": 828.11, "word": " X", "probability": 0.53564453125}, {"start": 828.11, "end": 829.17, "word": " يبقى", "probability": 0.905029296875}, {"start": 829.17, "end": 829.79, "word": " E", "probability": 0.394287109375}, {"start": 829.79, "end": 830.23, "word": " أو", "probability": 0.2059326171875}, {"start": 830.23, "end": 831.03, "word": " زيرو", "probability": 0.8714192708333334}, {"start": 831.03, "end": 832.19, "word": " يسوى", "probability": 0.9217529296875}, {"start": 832.19, "end": 832.75, "word": " E", "probability": 0.755859375}, {"start": 832.75, "end": 834.05, "word": " أسلن", "probability": 0.5877685546875}, {"start": 834.05, "end": 834.95, "word": " X", "probability": 0.63330078125}, {"start": 834.95, "end": 835.97, "word": " يبقى", "probability": 0.924072265625}, {"start": 835.97, "end": 836.17, "word": " هذا", "probability": 0.95654296875}, {"start": 836.17, "end": 836.95, "word": " سيعطيك", "probability": 0.94599609375}, {"start": 836.95, "end": 837.17, "word": " أن", "probability": 0.7119140625}, {"start": 837.17, "end": 837.53, "word": " X", "probability": 0.9560546875}, {"start": 837.53, "end": 838.01, "word": " يسوى", "probability": 0.8458251953125}, {"start": 838.01, "end": 838.25, "word": " E", "probability": 0.953125}, {"start": 838.25, "end": 838.39, "word": " أو", "probability": 0.3203125}, {"start": 838.39, "end": 838.71, "word": " زيرو", "probability": 0.9015299479166666}, {"start": 838.71, "end": 839.47, "word": " بقداش", "probability": 0.7373046875}, {"start": 839.47, "end": 840.29, "word": " إذا", "probability": 0.4776611328125}, {"start": 840.29, "end": 840.83, "word": " حل", "probability": 0.6953125}, {"start": 840.83, "end": 841.57, "word": " المعادلة", "probability": 0.977783203125}, {"start": 841.57, "end": 842.29, "word": " عبارة", "probability": 0.8438720703125}, {"start": 842.29, "end": 842.47, "word": " عن", "probability": 0.9755859375}, {"start": 842.47, "end": 843.29, "word": " مين؟", "probability": 0.5901285807291666}, {"start": 843.29, "end": 843.51, "word": " عن", "probability": 0.505859375}, {"start": 843.51, "end": 844.01, "word": " X", "probability": 0.98046875}, {"start": 844.01, "end": 845.27, "word": " يسوى", "probability": 0.8978271484375}, {"start": 845.27, "end": 845.89, "word": " واحد", "probability": 0.904052734375}], "temperature": 1.0}, {"id": 40, "seek": 87616, "start": 848.22, "end": 876.16, "text": "إذا ننتقل الآن إلى النقطة الأخيرة من الجزء النظري في هذا ال section وهي مشتقة معكوس الدوال المثلثية والتكاملات المتعلقة بها يبقى بدنا نيجي هنا إلى النقطة الثالثة والأخيرة في هذا ال section اللي هي ال derivatives", "tokens": [28814, 15730, 8717, 29399, 4587, 1211, 6024, 48506, 30731, 28239, 47432, 3660, 16247, 9778, 48923, 9154, 25724, 11622, 38207, 28239, 19913, 16572, 8978, 23758, 2423, 3541, 37037, 1829, 37893, 2655, 28671, 20449, 4117, 41779, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632, 16070, 2655, 4117, 10943, 1211, 9307, 9673, 2655, 30241, 28671, 4724, 11296, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 1829, 7435, 1829, 34105, 30731, 28239, 47432, 3660, 6024, 104, 6027, 12984, 3660, 16070, 10721, 9778, 48923, 8978, 23758, 2423, 3541, 13672, 1829, 39896, 2423, 33733], "avg_logprob": -0.1617542686448856, "compression_ratio": 1.8608247422680413, "no_speech_prob": 0.0, "words": [{"start": 848.22, "end": 848.5, "word": "إذا", "probability": 0.473297119140625}, {"start": 848.5, "end": 849.08, "word": " ننتقل", "probability": 0.8778076171875}, {"start": 849.08, "end": 849.6, "word": " الآن", "probability": 0.6689453125}, {"start": 849.6, "end": 850.28, "word": " إلى", "probability": 0.7509765625}, {"start": 850.28, "end": 851.06, "word": " النقطة", "probability": 0.9544270833333334}, {"start": 851.06, "end": 851.9, "word": " الأخيرة", "probability": 0.89453125}, {"start": 851.9, "end": 852.18, "word": " من", "probability": 0.9833984375}, {"start": 852.18, "end": 852.74, "word": " الجزء", "probability": 0.974609375}, {"start": 852.74, "end": 853.4, "word": " النظري", "probability": 0.9720052083333334}, {"start": 853.4, "end": 853.68, "word": " في", "probability": 0.97119140625}, {"start": 853.68, "end": 854.52, "word": " هذا", "probability": 0.8701171875}, {"start": 854.52, "end": 855.1, "word": " ال", "probability": 0.7587890625}, {"start": 855.1, "end": 855.52, "word": " section", "probability": 0.48193359375}, {"start": 855.52, "end": 856.84, "word": " وهي", "probability": 0.906494140625}, {"start": 856.84, "end": 857.96, "word": " مشتقة", "probability": 0.8562825520833334}, {"start": 857.96, "end": 859.58, "word": " معكوس", "probability": 0.82861328125}, {"start": 859.58, "end": 860.34, "word": " الدوال", "probability": 0.8935546875}, {"start": 860.34, "end": 861.84, "word": " المثلثية", "probability": 0.9625}, {"start": 861.84, "end": 863.9, "word": " والتكاملات", "probability": 0.9490559895833334}, {"start": 863.9, "end": 865.56, "word": " المتعلقة", "probability": 0.969970703125}, {"start": 865.56, "end": 866.38, "word": " بها", "probability": 0.98388671875}, {"start": 866.38, "end": 870.0, "word": " يبقى", "probability": 0.9361572265625}, {"start": 870.0, "end": 870.28, "word": " بدنا", "probability": 0.6812744140625}, {"start": 870.28, "end": 870.58, "word": " نيجي", "probability": 0.9398193359375}, {"start": 870.58, "end": 870.82, "word": " هنا", "probability": 0.865234375}, {"start": 870.82, "end": 870.98, "word": " إلى", "probability": 0.407958984375}, {"start": 870.98, "end": 871.52, "word": " النقطة", "probability": 0.98876953125}, {"start": 871.52, "end": 872.08, "word": " الثالثة", "probability": 0.9794921875}, {"start": 872.08, "end": 872.84, "word": " والأخيرة", "probability": 0.8079833984375}, {"start": 872.84, "end": 873.12, "word": " في", "probability": 0.98486328125}, {"start": 873.12, "end": 873.44, "word": " هذا", "probability": 0.9697265625}, {"start": 873.44, "end": 873.6, "word": " ال", "probability": 0.88134765625}, {"start": 873.6, "end": 874.12, "word": " section", "probability": 0.8046875}, {"start": 874.12, "end": 875.08, "word": " اللي", "probability": 0.849609375}, {"start": 875.08, "end": 875.34, "word": " هي", "probability": 0.73876953125}, {"start": 875.34, "end": 875.46, "word": " ال", "probability": 0.485595703125}, {"start": 875.46, "end": 876.16, "word": " derivatives", "probability": 0.59765625}], "temperature": 1.0}, {"id": 41, "seek": 90127, "start": 878.67, "end": 901.27, "text": "of inverse trigonometric functions مشتقة معكوس الدول المثلثة خلي بالك معناه هنا باجي بقول لو كانت ال U F", "tokens": [2670, 17340, 35386, 266, 29470, 6828, 3714, 8592, 2655, 28671, 20449, 4117, 41779, 32748, 12610, 9673, 12984, 1211, 12984, 3660, 16490, 20292, 20666, 4117, 20449, 8315, 3224, 34105, 4724, 26108, 1829, 4724, 39648, 45164, 25961, 2655, 2423, 624, 479], "avg_logprob": -0.20078125074505807, "compression_ratio": 1.246031746031746, "no_speech_prob": 0.0, "words": [{"start": 878.6700000000001, "end": 880.07, "word": "of", "probability": 0.5849609375}, {"start": 880.07, "end": 881.47, "word": " inverse", "probability": 0.8095703125}, {"start": 881.47, "end": 884.05, "word": " trigonometric", "probability": 0.9085286458333334}, {"start": 884.05, "end": 888.57, "word": " functions", "probability": 0.865234375}, {"start": 888.57, "end": 891.19, "word": " مشتقة", "probability": 0.68798828125}, {"start": 891.19, "end": 892.01, "word": " معكوس", "probability": 0.7978515625}, {"start": 892.01, "end": 892.51, "word": " الدول", "probability": 0.924072265625}, {"start": 892.51, "end": 893.57, "word": " المثلثة", "probability": 0.9359375}, {"start": 893.57, "end": 895.07, "word": " خلي", "probability": 0.607666015625}, {"start": 895.07, "end": 895.39, "word": " بالك", "probability": 0.931396484375}, {"start": 895.39, "end": 895.75, "word": " معناه", "probability": 0.9482421875}, {"start": 895.75, "end": 896.17, "word": " هنا", "probability": 0.69775390625}, {"start": 896.17, "end": 897.73, "word": " باجي", "probability": 0.794921875}, {"start": 897.73, "end": 898.17, "word": " بقول", "probability": 0.967041015625}, {"start": 898.17, "end": 898.49, "word": " لو", "probability": 0.95263671875}, {"start": 898.49, "end": 899.07, "word": " كانت", "probability": 0.891357421875}, {"start": 899.07, "end": 899.87, "word": " ال", "probability": 0.8515625}, {"start": 899.87, "end": 900.21, "word": " U", "probability": 0.84130859375}, {"start": 900.21, "end": 901.27, "word": " F", "probability": 0.54638671875}], "temperature": 1.0}, {"id": 42, "seek": 92160, "start": 901.9, "end": 921.6, "text": "الـ U is a differentiable function of X then نم رايحة خلوا بالك معايا كويس", "tokens": [6027, 39184, 624, 307, 257, 819, 9364, 2445, 295, 1783, 550, 8717, 2304, 12602, 47302, 5016, 3660, 16490, 1211, 14407, 20666, 4117, 20449, 995, 25528, 9122, 45865, 3794], "avg_logprob": -0.41729527095268515, "compression_ratio": 1.01, "no_speech_prob": 0.0, "words": [{"start": 901.9, "end": 902.38, "word": "الـ", "probability": 0.543212890625}, {"start": 902.38, "end": 902.72, "word": " U", "probability": 0.68310546875}, {"start": 902.72, "end": 903.6, "word": " is", "probability": 0.483642578125}, {"start": 903.6, "end": 904.88, "word": " a", "probability": 0.94775390625}, {"start": 904.88, "end": 906.42, "word": " differentiable", "probability": 0.93505859375}, {"start": 906.42, "end": 908.16, "word": " function", "probability": 0.970703125}, {"start": 908.16, "end": 909.26, "word": " of", "probability": 0.97705078125}, {"start": 909.26, "end": 909.88, "word": " X", "probability": 0.82763671875}, {"start": 909.88, "end": 911.2, "word": " then", "probability": 0.48388671875}, {"start": 911.2, "end": 917.9, "word": " نم", "probability": 0.30706787109375}, {"start": 917.9, "end": 918.94, "word": " رايحة", "probability": 0.6280517578125}, {"start": 918.94, "end": 920.7, "word": " خلوا", "probability": 0.5692545572916666}, {"start": 920.7, "end": 920.98, "word": " بالك", "probability": 0.5380859375}, {"start": 920.98, "end": 921.24, "word": " معايا", "probability": 0.873046875}, {"start": 921.24, "end": 921.6, "word": " كويس", "probability": 0.9915364583333334}], "temperature": 1.0}, {"id": 43, "seek": 94987, "start": 922.25, "end": 949.87, "text": "بدنا D على DX لصين Inverse U يوها دي ليست X وانما هي دل في X ففاجب اقول مشتقتها واحد على الجذر التربية إلى واحد ناقص U تربية في DU على DX وبشرط ان ال absolute value لليو اقل من الواحد ولا تساوي", "tokens": [3555, 3215, 8315, 413, 15844, 48817, 5296, 9381, 9957, 682, 4308, 624, 7251, 2407, 11296, 11778, 1829, 32239, 14851, 1783, 4032, 7649, 15042, 39896, 11778, 1211, 8978, 1783, 6156, 5172, 26108, 3555, 1975, 39648, 37893, 2655, 38149, 11296, 36764, 24401, 15844, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 36764, 24401, 8717, 995, 4587, 9381, 624, 6055, 25513, 10632, 8978, 28423, 15844, 48817, 46599, 46309, 9566, 16472, 2423, 8236, 2158, 24976, 1829, 2407, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 49429, 6055, 3794, 995, 45865], "avg_logprob": -0.30386029832503375, "compression_ratio": 1.5808080808080809, "no_speech_prob": 0.0, "words": [{"start": 922.25, "end": 922.95, "word": "بدنا", "probability": 0.3869832356770833}, {"start": 922.95, "end": 923.29, "word": " D", "probability": 0.55810546875}, {"start": 923.29, "end": 924.49, "word": " على", "probability": 0.68115234375}, {"start": 924.49, "end": 925.25, "word": " DX", "probability": 0.921875}, {"start": 925.25, "end": 926.93, "word": " لصين", "probability": 0.5360921223958334}, {"start": 926.93, "end": 928.03, "word": " Inverse", "probability": 0.73779296875}, {"start": 928.03, "end": 928.43, "word": " U", "probability": 0.81396484375}, {"start": 928.43, "end": 929.77, "word": " يوها", "probability": 0.4967447916666667}, {"start": 929.77, "end": 929.91, "word": " دي", "probability": 0.9169921875}, {"start": 929.91, "end": 930.25, "word": " ليست", "probability": 0.9287109375}, {"start": 930.25, "end": 930.55, "word": " X", "probability": 0.68017578125}, {"start": 930.55, "end": 931.05, "word": " وانما", "probability": 0.8800455729166666}, {"start": 931.05, "end": 931.45, "word": " هي", "probability": 0.5537109375}, {"start": 931.45, "end": 931.97, "word": " دل", "probability": 0.382080078125}, {"start": 931.97, "end": 932.25, "word": " في", "probability": 0.451416015625}, {"start": 932.25, "end": 932.65, "word": " X", "probability": 0.95849609375}, {"start": 932.65, "end": 933.83, "word": " ففاجب", "probability": 0.7633056640625}, {"start": 933.83, "end": 934.17, "word": " اقول", "probability": 0.7900390625}, {"start": 934.17, "end": 935.29, "word": " مشتقتها", "probability": 0.970703125}, {"start": 935.29, "end": 936.05, "word": " واحد", "probability": 0.945068359375}, {"start": 936.05, "end": 936.69, "word": " على", "probability": 0.87646484375}, {"start": 936.69, "end": 937.23, "word": " الجذر", "probability": 0.8113606770833334}, {"start": 937.23, "end": 937.83, "word": " التربية", "probability": 0.8002115885416666}, {"start": 937.83, "end": 938.11, "word": " إلى", "probability": 0.5517578125}, {"start": 938.11, "end": 938.63, "word": " واحد", "probability": 0.99072265625}, {"start": 938.63, "end": 939.37, "word": " ناقص", "probability": 0.97265625}, {"start": 939.37, "end": 939.63, "word": " U", "probability": 0.89794921875}, {"start": 939.63, "end": 940.35, "word": " تربية", "probability": 0.9542643229166666}, {"start": 940.35, "end": 940.99, "word": " في", "probability": 0.91552734375}, {"start": 940.99, "end": 941.59, "word": " DU", "probability": 0.38232421875}, {"start": 941.59, "end": 941.97, "word": " على", "probability": 0.8359375}, {"start": 941.97, "end": 942.59, "word": " DX", "probability": 0.9931640625}, {"start": 942.59, "end": 943.77, "word": " وبشرط", "probability": 0.7880859375}, {"start": 943.77, "end": 943.99, "word": " ان", "probability": 0.76220703125}, {"start": 943.99, "end": 944.17, "word": " ال", "probability": 0.9208984375}, {"start": 944.17, "end": 944.65, "word": " absolute", "probability": 0.66845703125}, {"start": 944.65, "end": 945.33, "word": " value", "probability": 0.9921875}, {"start": 945.33, "end": 946.03, "word": " لليو", "probability": 0.6572265625}, {"start": 946.03, "end": 947.11, "word": " اقل", "probability": 0.8090006510416666}, {"start": 947.11, "end": 947.37, "word": " من", "probability": 0.99609375}, {"start": 947.37, "end": 948.21, "word": " الواحد", "probability": 0.9259440104166666}, {"start": 948.21, "end": 948.69, "word": " ولا", "probability": 0.8857421875}, {"start": 948.69, "end": 949.87, "word": " تساوي", "probability": 0.918701171875}], "temperature": 1.0}, {"id": 44, "seek": 96870, "start": 950.38, "end": 968.7, "text": "لأن إن سوى 1 يصبح المشتقة undefined 1 على صفر مدى نهاية كمية غير قُعَرفة نمر اتنين بدنا D على DX لcos inverse U", "tokens": [1211, 33456, 36145, 8608, 2407, 7578, 502, 7251, 9381, 49628, 9673, 8592, 2655, 28671, 674, 5666, 2001, 502, 15844, 20328, 5172, 2288, 3714, 3215, 7578, 8717, 11296, 10632, 9122, 2304, 10632, 32771, 13546, 12174, 10859, 3615, 6808, 28480, 3660, 8717, 29973, 1975, 2655, 1863, 9957, 47525, 8315, 413, 15844, 48817, 5296, 6877, 17340, 624], "avg_logprob": -0.4363636396147988, "compression_ratio": 1.1756756756756757, "no_speech_prob": 0.0, "words": [{"start": 950.38, "end": 950.74, "word": "لأن", "probability": 0.535400390625}, {"start": 950.74, "end": 950.98, "word": " إن", "probability": 0.31396484375}, {"start": 950.98, "end": 951.36, "word": " سوى", "probability": 0.7083333333333334}, {"start": 951.36, "end": 951.82, "word": " 1", "probability": 0.67529296875}, {"start": 951.82, "end": 952.8, "word": " يصبح", "probability": 0.6442057291666666}, {"start": 952.8, "end": 953.76, "word": " المشتقة", "probability": 0.867431640625}, {"start": 953.76, "end": 956.18, "word": " undefined", "probability": 0.7706705729166666}, {"start": 956.18, "end": 956.72, "word": " 1", "probability": 0.2666015625}, {"start": 956.72, "end": 957.04, "word": " على", "probability": 0.40625}, {"start": 957.04, "end": 957.62, "word": " صفر", "probability": 0.7432454427083334}, {"start": 957.62, "end": 958.36, "word": " مدى", "probability": 0.5109049479166666}, {"start": 958.36, "end": 958.82, "word": " نهاية", "probability": 0.8933919270833334}, {"start": 958.82, "end": 959.22, "word": " كمية", "probability": 0.9788411458333334}, {"start": 959.22, "end": 959.66, "word": " غير", "probability": 0.993896484375}, {"start": 959.66, "end": 960.64, "word": " قُعَرفة", "probability": 0.6757405598958334}, {"start": 960.64, "end": 961.46, "word": " نمر", "probability": 0.508056640625}, {"start": 961.46, "end": 962.2, "word": " اتنين", "probability": 0.771026611328125}, {"start": 962.2, "end": 963.32, "word": " بدنا", "probability": 0.6619873046875}, {"start": 963.32, "end": 963.76, "word": " D", "probability": 0.55810546875}, {"start": 963.76, "end": 964.68, "word": " على", "probability": 0.76123046875}, {"start": 964.68, "end": 965.48, "word": " DX", "probability": 0.77587890625}, {"start": 965.48, "end": 966.68, "word": " لcos", "probability": 0.51007080078125}, {"start": 966.68, "end": 968.02, "word": " inverse", "probability": 0.72705078125}, {"start": 968.02, "end": 968.7, "word": " U", "probability": 0.724609375}], "temperature": 1.0}, {"id": 45, "seek": 99620, "start": 969.16, "end": 996.2, "text": "يبقى واحد على الجدر التربية يعني لو واحد ناقص U تربية في الـDU على DX والـabsolute value أقل من الواحد بدي واحد منكم يفت يقول هو بستنى المشتقتين زي بعض يقولك نعم زي بعض ولكن بإشارتين مختلفتين يبقى هذه ناقص تمام؟", "tokens": [1829, 3555, 4587, 7578, 36764, 24401, 15844, 25724, 3215, 2288, 16712, 25513, 10632, 37495, 22653, 45164, 36764, 24401, 8717, 995, 4587, 9381, 624, 6055, 25513, 10632, 8978, 2423, 39184, 35, 52, 15844, 48817, 16070, 39184, 17243, 401, 1169, 2158, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 4724, 16254, 36764, 24401, 9154, 24793, 7251, 5172, 2655, 7251, 39648, 31439, 4724, 14851, 1863, 7578, 9673, 8592, 2655, 38149, 9957, 30767, 1829, 45030, 11242, 7251, 39648, 4117, 8717, 25957, 30767, 1829, 45030, 11242, 35525, 19452, 4724, 28814, 8592, 9640, 2655, 9957, 3714, 46456, 46538, 2655, 9957, 7251, 3555, 4587, 7578, 29538, 8717, 995, 4587, 9381, 46811, 10943, 22807], "avg_logprob": -0.2498525859050031, "compression_ratio": 1.7009345794392523, "no_speech_prob": 0.0, "words": [{"start": 969.16, "end": 969.84, "word": "يبقى", "probability": 0.8328857421875}, {"start": 969.84, "end": 970.66, "word": " واحد", "probability": 0.64111328125}, {"start": 970.66, "end": 971.28, "word": " على", "probability": 0.880859375}, {"start": 971.28, "end": 971.84, "word": " الجدر", "probability": 0.8487955729166666}, {"start": 971.84, "end": 972.56, "word": " التربية", "probability": 0.7483723958333334}, {"start": 972.56, "end": 972.82, "word": " يعني", "probability": 0.5159912109375}, {"start": 972.82, "end": 973.52, "word": " لو", "probability": 0.74072265625}, {"start": 973.52, "end": 974.0, "word": " واحد", "probability": 0.880859375}, {"start": 974.0, "end": 974.66, "word": " ناقص", "probability": 0.937744140625}, {"start": 974.66, "end": 974.9, "word": " U", "probability": 0.662109375}, {"start": 974.9, "end": 975.72, "word": " تربية", "probability": 0.9456380208333334}, {"start": 975.72, "end": 976.3, "word": " في", "probability": 0.85888671875}, {"start": 976.3, "end": 977.06, "word": " الـDU", "probability": 0.54833984375}, {"start": 977.06, "end": 977.36, "word": " على", "probability": 0.67333984375}, {"start": 977.36, "end": 978.06, "word": " DX", "probability": 0.98583984375}, {"start": 978.06, "end": 979.36, "word": " والـabsolute", "probability": 0.63916015625}, {"start": 979.36, "end": 979.74, "word": " value", "probability": 0.99169921875}, {"start": 979.74, "end": 980.46, "word": " أقل", "probability": 0.94189453125}, {"start": 980.46, "end": 980.86, "word": " من", "probability": 0.9921875}, {"start": 980.86, "end": 981.34, "word": " الواحد", "probability": 0.9625651041666666}, {"start": 981.34, "end": 982.18, "word": " بدي", "probability": 0.50830078125}, {"start": 982.18, "end": 982.66, "word": " واحد", "probability": 0.798583984375}, {"start": 982.66, "end": 983.02, "word": " منكم", "probability": 0.802734375}, {"start": 983.02, "end": 983.36, "word": " يفت", "probability": 0.7059733072916666}, {"start": 983.36, "end": 983.7, "word": " يقول", "probability": 0.6297607421875}, {"start": 983.7, "end": 983.94, "word": " هو", "probability": 0.274169921875}, {"start": 983.94, "end": 984.54, "word": " بستنى", "probability": 0.6993408203125}, {"start": 984.54, "end": 985.24, "word": " المشتقتين", "probability": 0.9287109375}, {"start": 985.24, "end": 985.46, "word": " زي", "probability": 0.95361328125}, {"start": 985.46, "end": 985.82, "word": " بعض", "probability": 0.997802734375}, {"start": 985.82, "end": 986.64, "word": " يقولك", "probability": 0.5909016927083334}, {"start": 986.64, "end": 987.34, "word": " نعم", "probability": 0.99169921875}, {"start": 987.34, "end": 988.12, "word": " زي", "probability": 0.98828125}, {"start": 988.12, "end": 988.6, "word": " بعض", "probability": 0.996337890625}, {"start": 988.6, "end": 989.44, "word": " ولكن", "probability": 0.908203125}, {"start": 989.44, "end": 990.96, "word": " بإشارتين", "probability": 0.9736328125}, {"start": 990.96, "end": 992.66, "word": " مختلفتين", "probability": 0.983203125}, {"start": 992.66, "end": 993.62, "word": " يبقى", "probability": 0.9744873046875}, {"start": 993.62, "end": 994.08, "word": " هذه", "probability": 0.62060546875}, {"start": 994.08, "end": 995.1, "word": " ناقص", "probability": 0.9949951171875}, {"start": 995.1, "end": 996.2, "word": " تمام؟", "probability": 0.8544921875}], "temperature": 1.0}, {"id": 46, "seek": 101770, "start": 996.7, "end": 1017.7, "text": "طيب بدنا نيجي لمن؟ لتالتة بدنا D على DX ل 10 inverse U يبقى واحد على واحد زائد U تربيع في DU على DX والكلام هذا صحيح for all X", "tokens": [9566, 1829, 3555, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 27842, 22807, 5296, 2655, 6027, 2655, 3660, 47525, 8315, 413, 15844, 48817, 5296, 1266, 17340, 624, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 624, 6055, 2288, 21292, 3615, 8978, 28423, 15844, 48817, 16070, 28820, 10943, 23758, 20328, 5016, 1829, 5016, 337, 439, 1783], "avg_logprob": -0.2167637737120612, "compression_ratio": 1.337837837837838, "no_speech_prob": 0.0, "words": [{"start": 996.7, "end": 997.16, "word": "طيب", "probability": 0.78955078125}, {"start": 997.16, "end": 997.64, "word": " بدنا", "probability": 0.5234375}, {"start": 997.64, "end": 997.92, "word": " نيجي", "probability": 0.922119140625}, {"start": 997.92, "end": 998.72, "word": " لمن؟", "probability": 0.5738118489583334}, {"start": 998.72, "end": 1000.06, "word": " لتالتة", "probability": 0.800390625}, {"start": 1000.06, "end": 1000.92, "word": " بدنا", "probability": 0.832763671875}, {"start": 1000.92, "end": 1001.28, "word": " D", "probability": 0.360595703125}, {"start": 1001.28, "end": 1002.08, "word": " على", "probability": 0.73681640625}, {"start": 1002.08, "end": 1002.8, "word": " DX", "probability": 0.8740234375}, {"start": 1002.8, "end": 1003.46, "word": " ل", "probability": 0.94140625}, {"start": 1003.46, "end": 1004.22, "word": " 10", "probability": 0.70703125}, {"start": 1004.22, "end": 1005.38, "word": " inverse", "probability": 0.6416015625}, {"start": 1005.38, "end": 1005.9, "word": " U", "probability": 0.85498046875}, {"start": 1005.9, "end": 1006.98, "word": " يبقى", "probability": 0.97314453125}, {"start": 1006.98, "end": 1007.64, "word": " واحد", "probability": 0.869873046875}, {"start": 1007.64, "end": 1008.28, "word": " على", "probability": 0.76171875}, {"start": 1008.28, "end": 1009.0, "word": " واحد", "probability": 0.98583984375}, {"start": 1009.0, "end": 1009.96, "word": " زائد", "probability": 0.90966796875}, {"start": 1009.96, "end": 1010.38, "word": " U", "probability": 0.96728515625}, {"start": 1010.38, "end": 1011.22, "word": " تربيع", "probability": 0.8365478515625}, {"start": 1011.22, "end": 1011.64, "word": " في", "probability": 0.90771484375}, {"start": 1011.64, "end": 1012.24, "word": " DU", "probability": 0.71044921875}, {"start": 1012.24, "end": 1012.78, "word": " على", "probability": 0.85400390625}, {"start": 1012.78, "end": 1013.46, "word": " DX", "probability": 0.994140625}, {"start": 1013.46, "end": 1014.62, "word": " والكلام", "probability": 0.8333333333333334}, {"start": 1014.62, "end": 1015.02, "word": " هذا", "probability": 0.94873046875}, {"start": 1015.02, "end": 1016.02, "word": " صحيح", "probability": 0.9945068359375}, {"start": 1016.02, "end": 1016.68, "word": " for", "probability": 0.8486328125}, {"start": 1016.68, "end": 1017.24, "word": " all", "probability": 0.90869140625}, {"start": 1017.24, "end": 1017.7, "word": " X", "probability": 0.64599609375}], "temperature": 1.0}, {"id": 47, "seek": 103540, "start": 1017.86, "end": 1035.4, "text": "لأن ال domain تبع من ال 10 inverse كل ال real line بالاستثناء طيب بدنا نيجي لمين؟ رقم 4D على DX لمين؟ ليكو 10 inverse U", "tokens": [1211, 33456, 2423, 9274, 6055, 3555, 3615, 9154, 2423, 1266, 17340, 28242, 2423, 957, 1622, 20666, 995, 14851, 12984, 1863, 16606, 23032, 1829, 3555, 47525, 8315, 8717, 1829, 7435, 1829, 32767, 9957, 22807, 12602, 4587, 2304, 1017, 35, 15844, 48817, 32767, 9957, 22807, 32239, 4117, 2407, 1266, 17340, 624], "avg_logprob": -0.3309375101327896, "compression_ratio": 1.2661870503597121, "no_speech_prob": 0.0, "words": [{"start": 1017.86, "end": 1018.48, "word": "لأن", "probability": 0.556884765625}, {"start": 1018.48, "end": 1018.64, "word": " ال", "probability": 0.712890625}, {"start": 1018.64, "end": 1019.24, "word": " domain", "probability": 0.69482421875}, {"start": 1019.24, "end": 1020.02, "word": " تبع", "probability": 0.80078125}, {"start": 1020.02, "end": 1020.3, "word": " من", "probability": 0.7216796875}, {"start": 1020.3, "end": 1020.78, "word": " ال", "probability": 0.484375}, {"start": 1020.78, "end": 1021.08, "word": " 10", "probability": 0.32080078125}, {"start": 1021.08, "end": 1021.62, "word": " inverse", "probability": 0.6669921875}, {"start": 1021.62, "end": 1022.1, "word": " كل", "probability": 0.8662109375}, {"start": 1022.1, "end": 1022.38, "word": " ال", "probability": 0.9375}, {"start": 1022.38, "end": 1022.68, "word": " real", "probability": 0.80908203125}, {"start": 1022.68, "end": 1023.26, "word": " line", "probability": 0.92138671875}, {"start": 1023.26, "end": 1024.96, "word": " بالاستثناء", "probability": 0.7742513020833334}, {"start": 1024.96, "end": 1025.84, "word": " طيب", "probability": 0.8507486979166666}, {"start": 1025.84, "end": 1026.14, "word": " بدنا", "probability": 0.522705078125}, {"start": 1026.14, "end": 1026.42, "word": " نيجي", "probability": 0.8741455078125}, {"start": 1026.42, "end": 1027.12, "word": " لمين؟", "probability": 0.71484375}, {"start": 1027.12, "end": 1027.76, "word": " رقم", "probability": 0.9314778645833334}, {"start": 1027.76, "end": 1029.14, "word": " 4D", "probability": 0.74365234375}, {"start": 1029.14, "end": 1030.08, "word": " على", "probability": 0.69921875}, {"start": 1030.08, "end": 1030.82, "word": " DX", "probability": 0.87060546875}, {"start": 1030.82, "end": 1032.18, "word": " لمين؟", "probability": 0.7703450520833334}, {"start": 1032.18, "end": 1033.02, "word": " ليكو", "probability": 0.6521809895833334}, {"start": 1033.02, "end": 1033.62, "word": " 10", "probability": 0.90087890625}, {"start": 1033.62, "end": 1034.82, "word": " inverse", "probability": 0.869140625}, {"start": 1034.82, "end": 1035.4, "word": " U", "probability": 0.87158203125}], "temperature": 1.0}, {"id": 48, "seek": 105702, "start": 1035.72, "end": 1057.02, "text": "يبقى واحد على واحد زائد U تربية في ال D وعلى DX absolute value لل U وهذا الكلام صحيح for all U بلا استثناء وهذه for all U وليست for all X للكل", "tokens": [1829, 3555, 4587, 7578, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 624, 6055, 25513, 10632, 8978, 2423, 413, 4032, 3615, 23942, 48817, 8236, 2158, 24976, 624, 37037, 15730, 2423, 28820, 10943, 20328, 5016, 1829, 5016, 337, 439, 624, 4724, 15040, 44713, 12984, 1863, 16606, 37037, 24192, 337, 439, 624, 4032, 20292, 14851, 337, 439, 1783, 24976, 28820], "avg_logprob": -0.2086864336062286, "compression_ratio": 1.4105960264900663, "no_speech_prob": 0.0, "words": [{"start": 1035.72, "end": 1036.68, "word": "يبقى", "probability": 0.870849609375}, {"start": 1036.68, "end": 1037.36, "word": " واحد", "probability": 0.757080078125}, {"start": 1037.36, "end": 1038.02, "word": " على", "probability": 0.75146484375}, {"start": 1038.02, "end": 1038.82, "word": " واحد", "probability": 0.986572265625}, {"start": 1038.82, "end": 1039.74, "word": " زائد", "probability": 0.7877604166666666}, {"start": 1039.74, "end": 1039.96, "word": " U", "probability": 0.79931640625}, {"start": 1039.96, "end": 1040.8, "word": " تربية", "probability": 0.8180338541666666}, {"start": 1040.8, "end": 1041.32, "word": " في", "probability": 0.84716796875}, {"start": 1041.32, "end": 1041.48, "word": " ال", "probability": 0.68115234375}, {"start": 1041.48, "end": 1041.76, "word": " D", "probability": 0.50439453125}, {"start": 1041.76, "end": 1042.24, "word": " وعلى", "probability": 0.7529296875}, {"start": 1042.24, "end": 1042.86, "word": " DX", "probability": 0.8818359375}, {"start": 1042.86, "end": 1043.72, "word": " absolute", "probability": 0.413330078125}, {"start": 1043.72, "end": 1044.62, "word": " value", "probability": 0.99267578125}, {"start": 1044.62, "end": 1044.92, "word": " لل", "probability": 0.78125}, {"start": 1044.92, "end": 1045.32, "word": " U", "probability": 0.81103515625}, {"start": 1045.32, "end": 1045.96, "word": " وهذا", "probability": 0.8095703125}, {"start": 1045.96, "end": 1046.44, "word": " الكلام", "probability": 0.9358723958333334}, {"start": 1046.44, "end": 1047.3, "word": " صحيح", "probability": 0.9952392578125}, {"start": 1047.3, "end": 1047.92, "word": " for", "probability": 0.7587890625}, {"start": 1047.92, "end": 1048.96, "word": " all", "probability": 0.9423828125}, {"start": 1048.96, "end": 1049.5, "word": " U", "probability": 0.71142578125}, {"start": 1049.5, "end": 1050.08, "word": " بلا", "probability": 0.76318359375}, {"start": 1050.08, "end": 1050.74, "word": " استثناء", "probability": 0.7591552734375}, {"start": 1050.74, "end": 1051.76, "word": " وهذه", "probability": 0.772216796875}, {"start": 1051.76, "end": 1052.46, "word": " for", "probability": 0.93994140625}, {"start": 1052.46, "end": 1053.46, "word": " all", "probability": 0.94921875}, {"start": 1053.46, "end": 1053.9, "word": " U", "probability": 0.927734375}, {"start": 1053.9, "end": 1054.6, "word": " وليست", "probability": 0.93701171875}, {"start": 1054.6, "end": 1055.02, "word": " for", "probability": 0.96435546875}, {"start": 1055.02, "end": 1055.42, "word": " all", "probability": 0.95556640625}, {"start": 1055.42, "end": 1055.78, "word": " X", "probability": 0.8828125}, {"start": 1055.78, "end": 1057.02, "word": " للكل", "probability": 0.742431640625}], "temperature": 1.0}, {"id": 49, "seek": 107308, "start": 1057.55, "end": 1073.09, "text": "بس طلع هذه و هذه زي بعض كمان بيختلفوا عن بعض بالإشارة فبنروح بنحط هنا إشارة مين سالم بالمثل رقم خمسة بدنا دي على DX", "tokens": [3555, 3794, 23032, 1211, 3615, 29538, 4032, 29538, 30767, 1829, 45030, 11242, 9122, 2304, 7649, 4724, 1829, 46456, 46538, 14407, 18871, 45030, 11242, 20666, 28814, 8592, 9640, 3660, 6156, 3555, 1863, 32887, 5016, 44945, 5016, 9566, 34105, 11933, 8592, 9640, 3660, 3714, 9957, 8608, 45340, 20666, 2304, 12984, 1211, 12602, 4587, 2304, 16490, 2304, 3794, 3660, 47525, 8315, 11778, 1829, 15844, 48817], "avg_logprob": -0.16877479827593242, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 1057.55, "end": 1058.03, "word": "بس", "probability": 0.82421875}, {"start": 1058.03, "end": 1058.61, "word": " طلع", "probability": 0.9012044270833334}, {"start": 1058.61, "end": 1059.05, "word": " هذه", "probability": 0.6640625}, {"start": 1059.05, "end": 1059.69, "word": " و", "probability": 0.5654296875}, {"start": 1059.69, "end": 1060.25, "word": " هذه", "probability": 0.8994140625}, {"start": 1060.25, "end": 1061.03, "word": " زي", "probability": 0.8388671875}, {"start": 1061.03, "end": 1061.53, "word": " بعض", "probability": 0.990966796875}, {"start": 1061.53, "end": 1062.23, "word": " كمان", "probability": 0.88623046875}, {"start": 1062.23, "end": 1062.85, "word": " بيختلفوا", "probability": 0.94638671875}, {"start": 1062.85, "end": 1063.01, "word": " عن", "probability": 0.9716796875}, {"start": 1063.01, "end": 1063.35, "word": " بعض", "probability": 0.99755859375}, {"start": 1063.35, "end": 1064.27, "word": " بالإشارة", "probability": 0.962890625}, {"start": 1064.27, "end": 1065.09, "word": " فبنروح", "probability": 0.84501953125}, {"start": 1065.09, "end": 1065.67, "word": " بنحط", "probability": 0.8133138020833334}, {"start": 1065.67, "end": 1065.95, "word": " هنا", "probability": 0.9443359375}, {"start": 1065.95, "end": 1066.43, "word": " إشارة", "probability": 0.9732666015625}, {"start": 1066.43, "end": 1066.91, "word": " مين", "probability": 0.55731201171875}, {"start": 1066.91, "end": 1067.83, "word": " سالم", "probability": 0.593994140625}, {"start": 1067.83, "end": 1069.11, "word": " بالمثل", "probability": 0.9071044921875}, {"start": 1069.11, "end": 1069.61, "word": " رقم", "probability": 0.9720052083333334}, {"start": 1069.61, "end": 1070.49, "word": " خمسة", "probability": 0.8646240234375}, {"start": 1070.49, "end": 1071.37, "word": " بدنا", "probability": 0.759521484375}, {"start": 1071.37, "end": 1072.03, "word": " دي", "probability": 0.8955078125}, {"start": 1072.03, "end": 1072.61, "word": " على", "probability": 0.81005859375}, {"start": 1072.61, "end": 1073.09, "word": " DX", "probability": 0.60595703125}], "temperature": 1.0}, {"id": 50, "seek": 109524, "start": 1073.74, "end": 1095.24, "text": "لسك inverse u اللي هو واحد على absolute value ل U الجدرى التربية ل U تربية ناقص واحد في DU على DX وال absolute value ل U greater than one اكبر من الواحد نمري ستة", "tokens": [1211, 3794, 4117, 17340, 344, 13672, 1829, 31439, 36764, 24401, 15844, 8236, 2158, 5296, 624, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 5296, 624, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401, 8978, 28423, 15844, 48817, 16070, 8236, 2158, 5296, 624, 5044, 813, 472, 1975, 4117, 26890, 9154, 2423, 14407, 24401, 8717, 2304, 16572, 8608, 2655, 3660], "avg_logprob": -0.3132944824331898, "compression_ratio": 1.4746835443037976, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1073.74, "end": 1074.58, "word": "لسك", "probability": 0.3368733723958333}, {"start": 1074.58, "end": 1075.46, "word": " inverse", "probability": 0.39404296875}, {"start": 1075.46, "end": 1076.16, "word": " u", "probability": 0.53466796875}, {"start": 1076.16, "end": 1077.04, "word": " اللي", "probability": 0.568359375}, {"start": 1077.04, "end": 1077.26, "word": " هو", "probability": 0.97021484375}, {"start": 1077.26, "end": 1078.06, "word": " واحد", "probability": 0.857421875}, {"start": 1078.06, "end": 1078.64, "word": " على", "probability": 0.853515625}, {"start": 1078.64, "end": 1079.2, "word": " absolute", "probability": 0.88916015625}, {"start": 1079.2, "end": 1079.9, "word": " value", "probability": 0.9931640625}, {"start": 1079.9, "end": 1080.12, "word": " ل", "probability": 0.748046875}, {"start": 1080.12, "end": 1080.48, "word": " U", "probability": 0.425048828125}, {"start": 1080.48, "end": 1081.58, "word": " الجدرى", "probability": 0.8099365234375}, {"start": 1081.58, "end": 1082.16, "word": " التربية", "probability": 0.8603515625}, {"start": 1082.16, "end": 1082.36, "word": " ل", "probability": 0.818359375}, {"start": 1082.36, "end": 1082.58, "word": " U", "probability": 0.8662109375}, {"start": 1082.58, "end": 1083.12, "word": " تربية", "probability": 0.9195963541666666}, {"start": 1083.12, "end": 1083.72, "word": " ناقص", "probability": 0.9327392578125}, {"start": 1083.72, "end": 1084.34, "word": " واحد", "probability": 0.981689453125}, {"start": 1084.34, "end": 1084.92, "word": " في", "probability": 0.88134765625}, {"start": 1084.92, "end": 1085.6, "word": " DU", "probability": 0.1243896484375}, {"start": 1085.6, "end": 1086.0, "word": " على", "probability": 0.70458984375}, {"start": 1086.0, "end": 1086.7, "word": " DX", "probability": 0.99072265625}, {"start": 1086.7, "end": 1087.36, "word": " وال", "probability": 0.57763671875}, {"start": 1087.36, "end": 1088.02, "word": " absolute", "probability": 0.771484375}, {"start": 1088.02, "end": 1088.86, "word": " value", "probability": 0.9912109375}, {"start": 1088.86, "end": 1089.04, "word": " ل", "probability": 0.71435546875}, {"start": 1089.04, "end": 1089.36, "word": " U", "probability": 0.8759765625}, {"start": 1089.36, "end": 1089.98, "word": " greater", "probability": 0.7236328125}, {"start": 1089.98, "end": 1090.72, "word": " than", "probability": 0.94775390625}, {"start": 1090.72, "end": 1091.88, "word": " one", "probability": 0.7041015625}, {"start": 1091.88, "end": 1092.6, "word": " اكبر", "probability": 0.826171875}, {"start": 1092.6, "end": 1092.84, "word": " من", "probability": 0.99365234375}, {"start": 1092.84, "end": 1093.36, "word": " الواحد", "probability": 0.9342447916666666}, {"start": 1093.36, "end": 1094.42, "word": " نمري", "probability": 0.5057779947916666}, {"start": 1094.42, "end": 1095.24, "word": " ستة", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 51, "seek": 111784, "start": 1096.81, "end": 1117.85, "text": "الـD على DX لاكوسيكنت انفرس U يسوى سالب واحد على absolute value لـU الجدرى التربية لـU تربية ناقص واحد في الـDU على DX وال absolute value لـU greater than one", "tokens": [6027, 39184, 35, 15844, 48817, 20193, 4117, 41779, 1829, 4117, 29399, 16472, 5172, 2288, 3794, 624, 7251, 3794, 2407, 7578, 8608, 6027, 3555, 36764, 24401, 15844, 8236, 2158, 5296, 39184, 52, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 5296, 39184, 52, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401, 8978, 2423, 39184, 35, 52, 15844, 48817, 16070, 8236, 2158, 5296, 39184, 52, 5044, 813, 472], "avg_logprob": -0.2985074715827828, "compression_ratio": 1.5128205128205128, "no_speech_prob": 0.0, "words": [{"start": 1096.81, "end": 1097.61, "word": "الـD", "probability": 0.4180094401041667}, {"start": 1097.61, "end": 1098.33, "word": " على", "probability": 0.60888671875}, {"start": 1098.33, "end": 1098.95, "word": " DX", "probability": 0.93408203125}, {"start": 1098.95, "end": 1100.29, "word": " لاكوسيكنت", "probability": 0.5056966145833334}, {"start": 1100.29, "end": 1101.31, "word": " انفرس", "probability": 0.8983154296875}, {"start": 1101.31, "end": 1101.65, "word": " U", "probability": 0.8701171875}, {"start": 1101.65, "end": 1102.83, "word": " يسوى", "probability": 0.77386474609375}, {"start": 1102.83, "end": 1103.53, "word": " سالب", "probability": 0.880859375}, {"start": 1103.53, "end": 1104.17, "word": " واحد", "probability": 0.89111328125}, {"start": 1104.17, "end": 1104.83, "word": " على", "probability": 0.9208984375}, {"start": 1104.83, "end": 1105.33, "word": " absolute", "probability": 0.59130859375}, {"start": 1105.33, "end": 1105.99, "word": " value", "probability": 0.99365234375}, {"start": 1105.99, "end": 1106.57, "word": " لـU", "probability": 0.5607096354166666}, {"start": 1106.57, "end": 1107.59, "word": " الجدرى", "probability": 0.7567138671875}, {"start": 1107.59, "end": 1108.13, "word": " التربية", "probability": 0.8146158854166666}, {"start": 1108.13, "end": 1108.49, "word": " لـU", "probability": 0.7957356770833334}, {"start": 1108.49, "end": 1109.07, "word": " تربية", "probability": 0.9397786458333334}, {"start": 1109.07, "end": 1109.63, "word": " ناقص", "probability": 0.8712158203125}, {"start": 1109.63, "end": 1110.29, "word": " واحد", "probability": 0.983642578125}, {"start": 1110.29, "end": 1110.77, "word": " في", "probability": 0.86474609375}, {"start": 1110.77, "end": 1111.69, "word": " الـDU", "probability": 0.8048095703125}, {"start": 1111.69, "end": 1112.13, "word": " على", "probability": 0.89306640625}, {"start": 1112.13, "end": 1112.87, "word": " DX", "probability": 0.99560546875}, {"start": 1112.87, "end": 1113.49, "word": " وال", "probability": 0.6796875}, {"start": 1113.49, "end": 1114.11, "word": " absolute", "probability": 0.3359375}, {"start": 1114.11, "end": 1114.81, "word": " value", "probability": 0.9931640625}, {"start": 1114.81, "end": 1115.33, "word": " لـU", "probability": 0.96923828125}, {"start": 1115.33, "end": 1116.27, "word": " greater", "probability": 0.51025390625}, {"start": 1116.27, "end": 1117.25, "word": " than", "probability": 0.9443359375}, {"start": 1117.25, "end": 1117.85, "word": " one", "probability": 0.71826171875}], "temperature": 1.0}, {"id": 52, "seek": 115284, "start": 1136.65, "end": 1152.85, "text": "نعود إلى هذه المشتقات مرة أخرى ونعقد مقارنة ما بينها يبقى الأن احنا عطينا مشتقة معكوس الدول المثلثية الست هذين ستة ولا تلاتة؟", "tokens": [1863, 3615, 23328, 30731, 29538, 9673, 8592, 2655, 4587, 9307, 3714, 25720, 5551, 34740, 7578, 4032, 1863, 3615, 28543, 3714, 4587, 9640, 1863, 3660, 19446, 49374, 11296, 7251, 3555, 4587, 7578, 16247, 1863, 1975, 5016, 8315, 6225, 9566, 1829, 8315, 37893, 2655, 28671, 20449, 4117, 41779, 32748, 12610, 9673, 12984, 1211, 12984, 10632, 2423, 14851, 8032, 8848, 9957, 8608, 2655, 3660, 49429, 6055, 1211, 9307, 3660, 22807], "avg_logprob": -0.2674632396768121, "compression_ratio": 1.6056338028169015, "no_speech_prob": 0.0, "words": [{"start": 1136.65, "end": 1137.07, "word": "نعود", "probability": 0.6333821614583334}, {"start": 1137.07, "end": 1137.31, "word": " إلى", "probability": 0.259765625}, {"start": 1137.31, "end": 1137.55, "word": " هذه", "probability": 0.7998046875}, {"start": 1137.55, "end": 1138.45, "word": " المشتقات", "probability": 0.95302734375}, {"start": 1138.45, "end": 1139.07, "word": " مرة", "probability": 0.948486328125}, {"start": 1139.07, "end": 1140.51, "word": " أخرى", "probability": 0.9635416666666666}, {"start": 1140.51, "end": 1141.67, "word": " ونعقد", "probability": 0.71441650390625}, {"start": 1141.67, "end": 1142.51, "word": " مقارنة", "probability": 0.98515625}, {"start": 1142.51, "end": 1142.61, "word": " ما", "probability": 0.52734375}, {"start": 1142.61, "end": 1143.09, "word": " بينها", "probability": 0.95458984375}, {"start": 1143.09, "end": 1143.75, "word": " يبقى", "probability": 0.7899169921875}, {"start": 1143.75, "end": 1143.99, "word": " الأن", "probability": 0.640869140625}, {"start": 1143.99, "end": 1144.33, "word": " احنا", "probability": 0.7650553385416666}, {"start": 1144.33, "end": 1144.83, "word": " عطينا", "probability": 0.83001708984375}, {"start": 1144.83, "end": 1145.53, "word": " مشتقة", "probability": 0.79150390625}, {"start": 1145.53, "end": 1146.51, "word": " معكوس", "probability": 0.7679036458333334}, {"start": 1146.51, "end": 1146.99, "word": " الدول", "probability": 0.877197265625}, {"start": 1146.99, "end": 1148.45, "word": " المثلثية", "probability": 0.9357421875}, {"start": 1148.45, "end": 1149.53, "word": " الست", "probability": 0.70654296875}, {"start": 1149.53, "end": 1151.29, "word": " هذين", "probability": 0.5107421875}, {"start": 1151.29, "end": 1151.75, "word": " ستة", "probability": 0.7776692708333334}, {"start": 1151.75, "end": 1151.91, "word": " ولا", "probability": 0.5947265625}, {"start": 1151.91, "end": 1152.85, "word": " تلاتة؟", "probability": 0.94130859375}], "temperature": 1.0}, {"id": 53, "seek": 118029, "start": 1153.49, "end": 1180.29, "text": "ستة، لكن في الحقيقة تلاتة، لأن التلاتة اللي زيهم، اللي التلاتة هذول زيهم بس بشعرة مخالفة يبقى، هاي خصمنا عليكم خمسين في المية من اللي هو الحفظ والفهم وما إلى ذلك، تمام؟ طيب نيجي للتلاتة هذول، المطلوب يعني نحفظهم ولا بيجيون موجودات في الأداء؟ بدك تحفظهم مثل إسمك", "tokens": [3794, 2655, 3660, 12399, 44381, 8978, 21542, 38436, 28671, 6055, 1211, 9307, 3660, 12399, 5296, 33456, 16712, 1211, 9307, 3660, 13672, 1829, 30767, 1829, 16095, 12399, 13672, 1829, 16712, 1211, 9307, 3660, 8032, 8848, 12610, 30767, 1829, 16095, 4724, 3794, 4724, 8592, 3615, 25720, 3714, 9778, 6027, 5172, 3660, 7251, 3555, 4587, 7578, 12399, 8032, 47302, 16490, 9381, 2304, 8315, 25894, 24793, 16490, 2304, 3794, 9957, 8978, 9673, 10632, 9154, 13672, 1829, 31439, 21542, 5172, 19913, 16070, 5172, 16095, 4032, 15042, 30731, 29910, 23275, 12399, 46811, 10943, 22807, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 24976, 2655, 1211, 9307, 3660, 8032, 8848, 12610, 12399, 9673, 9566, 1211, 37746, 37495, 22653, 8717, 5016, 5172, 19913, 16095, 49429, 4724, 1829, 7435, 1829, 11536, 3714, 29245, 23328, 9307, 8978, 16247, 3215, 16606, 22807, 47525, 4117, 6055, 5016, 5172, 19913, 16095, 50113, 1211, 11933, 38251, 4117], "avg_logprob": -0.18531468093812048, "compression_ratio": 2.02991452991453, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1153.49, "end": 1154.43, "word": "ستة،", "probability": 0.575958251953125}, {"start": 1154.43, "end": 1154.65, "word": " لكن", "probability": 0.88232421875}, {"start": 1154.65, "end": 1154.81, "word": " في", "probability": 0.9462890625}, {"start": 1154.81, "end": 1155.55, "word": " الحقيقة", "probability": 0.99169921875}, {"start": 1155.55, "end": 1156.61, "word": " تلاتة،", "probability": 0.8314453125}, {"start": 1156.61, "end": 1156.87, "word": " لأن", "probability": 0.8759765625}, {"start": 1156.87, "end": 1157.47, "word": " التلاتة", "probability": 0.948486328125}, {"start": 1157.47, "end": 1157.61, "word": " اللي", "probability": 0.890625}, {"start": 1157.61, "end": 1158.21, "word": " زيهم،", "probability": 0.862060546875}, {"start": 1158.21, "end": 1158.41, "word": " اللي", "probability": 0.93017578125}, {"start": 1158.41, "end": 1158.89, "word": " التلاتة", "probability": 0.84320068359375}, {"start": 1158.89, "end": 1159.07, "word": " هذول", "probability": 0.5625406901041666}, {"start": 1159.07, "end": 1159.45, "word": " زيهم", "probability": 0.9892578125}, {"start": 1159.45, "end": 1159.71, "word": " بس", "probability": 0.870849609375}, {"start": 1159.71, "end": 1160.41, "word": " بشعرة", "probability": 0.700927734375}, {"start": 1160.41, "end": 1161.53, "word": " مخالفة", "probability": 0.98603515625}, {"start": 1161.53, "end": 1161.95, "word": " يبقى،", "probability": 0.7484375}, {"start": 1161.95, "end": 1162.13, "word": " هاي", "probability": 0.6202392578125}, {"start": 1162.13, "end": 1162.77, "word": " خصمنا", "probability": 0.8970947265625}, {"start": 1162.77, "end": 1163.19, "word": " عليكم", "probability": 0.8427734375}, {"start": 1163.19, "end": 1163.65, "word": " خمسين", "probability": 0.9144287109375}, {"start": 1163.65, "end": 1163.79, "word": " في", "probability": 0.52001953125}, {"start": 1163.79, "end": 1164.25, "word": " المية", "probability": 0.832275390625}, {"start": 1164.25, "end": 1165.43, "word": " من", "probability": 0.94287109375}, {"start": 1165.43, "end": 1166.25, "word": " اللي", "probability": 0.8525390625}, {"start": 1166.25, "end": 1166.53, "word": " هو", "probability": 0.98876953125}, {"start": 1166.53, "end": 1167.19, "word": " الحفظ", "probability": 0.9788411458333334}, {"start": 1167.19, "end": 1167.87, "word": " والفهم", "probability": 0.8837890625}, {"start": 1167.87, "end": 1168.53, "word": " وما", "probability": 0.959716796875}, {"start": 1168.53, "end": 1168.79, "word": " إلى", "probability": 0.9765625}, {"start": 1168.79, "end": 1169.33, "word": " ذلك،", "probability": 0.85302734375}, {"start": 1169.33, "end": 1170.17, "word": " تمام؟", "probability": 0.9313151041666666}, {"start": 1170.17, "end": 1170.55, "word": " طيب", "probability": 0.9375}, {"start": 1170.55, "end": 1170.97, "word": " نيجي", "probability": 0.89697265625}, {"start": 1170.97, "end": 1171.73, "word": " للتلاتة", "probability": 0.98935546875}, {"start": 1171.73, "end": 1172.59, "word": " هذول،", "probability": 0.7830810546875}, {"start": 1172.59, "end": 1173.27, "word": " المطلوب", "probability": 0.914306640625}, {"start": 1173.27, "end": 1173.67, "word": " يعني", "probability": 0.96044921875}, {"start": 1173.67, "end": 1174.73, "word": " نحفظهم", "probability": 0.865966796875}, {"start": 1174.73, "end": 1175.03, "word": " ولا", "probability": 0.454833984375}, {"start": 1175.03, "end": 1175.67, "word": " بيجيون", "probability": 0.80234375}, {"start": 1175.67, "end": 1176.41, "word": " موجودات", "probability": 0.9764404296875}, {"start": 1176.41, "end": 1176.57, "word": " في", "probability": 0.921875}, {"start": 1176.57, "end": 1177.49, "word": " الأداء؟", "probability": 0.5771484375}, {"start": 1177.49, "end": 1177.99, "word": " بدك", "probability": 0.91943359375}, {"start": 1177.99, "end": 1178.73, "word": " تحفظهم", "probability": 0.988671875}, {"start": 1178.73, "end": 1179.39, "word": " مثل", "probability": 0.99609375}, {"start": 1179.39, "end": 1180.29, "word": " إسمك", "probability": 0.8256022135416666}], "temperature": 1.0}, {"id": 54, "seek": 119657, "start": 1180.77, "end": 1196.57, "text": "طبعا؟ طيب نشوف حفظه مش صعب ولا سهل، إذا صعب بدناش ياه، وإذا سهل بدناه ياه، ليه جدال؟ لو جدل مشتقت التان Inverse اللي في المصفيها جدل؟ لأ، واحد زاد يوتر بيدي وعلى DX", "tokens": [9566, 3555, 3615, 995, 22807, 23032, 1829, 3555, 8717, 8592, 38688, 11331, 5172, 19913, 3224, 37893, 20328, 3615, 3555, 49429, 8608, 3224, 1211, 12399, 11933, 15730, 20328, 3615, 3555, 47525, 8315, 8592, 35186, 3224, 12399, 4032, 28814, 15730, 8608, 3224, 1211, 47525, 8315, 3224, 35186, 3224, 12399, 32239, 3224, 10874, 3215, 6027, 22807, 45164, 10874, 3215, 1211, 3714, 8592, 2655, 38149, 16712, 7649, 682, 4308, 13672, 1829, 8978, 9673, 9381, 5172, 1829, 11296, 10874, 3215, 1211, 22807, 5296, 10721, 12399, 36764, 24401, 30767, 18513, 7251, 35473, 2288, 4724, 1829, 16254, 4032, 3615, 23942, 48817], "avg_logprob": -0.32894737344039116, "compression_ratio": 1.5628415300546448, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1180.77, "end": 1181.61, "word": "طبعا؟", "probability": 0.6140625}, {"start": 1181.61, "end": 1182.51, "word": " طيب", "probability": 0.9462890625}, {"start": 1182.51, "end": 1183.07, "word": " نشوف", "probability": 0.86181640625}, {"start": 1183.07, "end": 1183.51, "word": " حفظه", "probability": 0.8182373046875}, {"start": 1183.51, "end": 1183.65, "word": " مش", "probability": 0.7900390625}, {"start": 1183.65, "end": 1183.97, "word": " صعب", "probability": 0.98974609375}, {"start": 1183.97, "end": 1184.17, "word": " ولا", "probability": 0.69482421875}, {"start": 1184.17, "end": 1185.03, "word": " سهل،", "probability": 0.8331298828125}, {"start": 1185.03, "end": 1185.45, "word": " إذا", "probability": 0.840576171875}, {"start": 1185.45, "end": 1185.75, "word": " صعب", "probability": 0.9803059895833334}, {"start": 1185.75, "end": 1186.13, "word": " بدناش", "probability": 0.6041259765625}, {"start": 1186.13, "end": 1186.47, "word": " ياه،", "probability": 0.636962890625}, {"start": 1186.47, "end": 1186.73, "word": " وإذا", "probability": 0.9130859375}, {"start": 1186.73, "end": 1187.09, "word": " سهل", "probability": 0.9910481770833334}, {"start": 1187.09, "end": 1187.59, "word": " بدناه", "probability": 0.8068033854166666}, {"start": 1187.59, "end": 1188.45, "word": " ياه،", "probability": 0.8009440104166666}, {"start": 1188.45, "end": 1188.73, "word": " ليه", "probability": 0.9169921875}, {"start": 1188.73, "end": 1189.17, "word": " جدال؟", "probability": 0.5347900390625}, {"start": 1189.17, "end": 1189.37, "word": " لو", "probability": 0.9619140625}, {"start": 1189.37, "end": 1189.73, "word": " جدل", "probability": 0.8367513020833334}, {"start": 1189.73, "end": 1190.47, "word": " مشتقت", "probability": 0.705810546875}, {"start": 1190.47, "end": 1191.15, "word": " التان", "probability": 0.81884765625}, {"start": 1191.15, "end": 1191.73, "word": " Inverse", "probability": 0.54925537109375}, {"start": 1191.73, "end": 1191.93, "word": " اللي", "probability": 0.9501953125}, {"start": 1191.93, "end": 1192.01, "word": " في", "probability": 0.67138671875}, {"start": 1192.01, "end": 1192.63, "word": " المصفيها", "probability": 0.68623046875}, {"start": 1192.63, "end": 1193.85, "word": " جدل؟", "probability": 0.8349609375}, {"start": 1193.85, "end": 1194.47, "word": " لأ،", "probability": 0.779296875}, {"start": 1194.47, "end": 1194.79, "word": " واحد", "probability": 0.5140380859375}, {"start": 1194.79, "end": 1195.15, "word": " زاد", "probability": 0.699951171875}, {"start": 1195.15, "end": 1195.59, "word": " يوتر", "probability": 0.90478515625}, {"start": 1195.59, "end": 1195.95, "word": " بيدي", "probability": 0.8074544270833334}, {"start": 1195.95, "end": 1196.29, "word": " وعلى", "probability": 0.5941569010416666}, {"start": 1196.29, "end": 1196.57, "word": " DX", "probability": 0.42529296875}], "temperature": 1.0}, {"id": 55, "seek": 122595, "start": 1196.89, "end": 1225.95, "text": "إذا لو كانت هذه 10 inverse X بقول 1 على 1 زاد X تربية هي مشتقة 10 inverse X صح بيها دي؟ لأ طيب، ظلت الأولى والأخيرة الأولى والأخيرة هذه اللي فيها جدر يبدأ بالنسبة لل sign inverse X مشتقة 1 على 1 نقص X تربية لكن ال 6 inverse جلبناها بصير ايش؟ X تربية ناقص واحد ضربنا برا بس في absolute value ل X", "tokens": [28814, 15730, 45164, 25961, 2655, 29538, 1266, 17340, 1783, 4724, 39648, 502, 15844, 502, 30767, 18513, 1783, 6055, 25513, 10632, 39896, 37893, 2655, 28671, 1266, 17340, 1783, 20328, 5016, 4724, 1829, 11296, 11778, 1829, 22807, 5296, 10721, 23032, 1829, 3555, 12399, 1357, 116, 1211, 2655, 16247, 12610, 7578, 16070, 10721, 9778, 48923, 16247, 12610, 7578, 16070, 10721, 9778, 48923, 29538, 13672, 1829, 8978, 11296, 10874, 3215, 2288, 7251, 44510, 10721, 20666, 1863, 35457, 3660, 24976, 1465, 17340, 1783, 37893, 2655, 28671, 502, 15844, 502, 8717, 4587, 9381, 1783, 6055, 25513, 10632, 44381, 2423, 1386, 17340, 10874, 46152, 8315, 11296, 4724, 9381, 13546, 1975, 1829, 8592, 22807, 1783, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401, 48812, 25513, 8315, 4724, 23557, 4724, 3794, 8978, 8236, 2158, 5296, 1783], "avg_logprob": -0.27398255813953487, "compression_ratio": 1.815686274509804, "no_speech_prob": 0.0, "words": [{"start": 1196.89, "end": 1197.25, "word": "إذا", "probability": 0.503692626953125}, {"start": 1197.25, "end": 1197.47, "word": " لو", "probability": 0.8720703125}, {"start": 1197.47, "end": 1197.87, "word": " كانت", "probability": 0.915771484375}, {"start": 1197.87, "end": 1198.15, "word": " هذه", "probability": 0.70458984375}, {"start": 1198.15, "end": 1198.57, "word": " 10", "probability": 0.5498046875}, {"start": 1198.57, "end": 1199.07, "word": " inverse", "probability": 0.344482421875}, {"start": 1199.07, "end": 1199.35, "word": " X", "probability": 0.60302734375}, {"start": 1199.35, "end": 1199.67, "word": " بقول", "probability": 0.6866455078125}, {"start": 1199.67, "end": 1199.89, "word": " 1", "probability": 0.44384765625}, {"start": 1199.89, "end": 1200.03, "word": " على", "probability": 0.52099609375}, {"start": 1200.03, "end": 1200.21, "word": " 1", "probability": 0.9853515625}, {"start": 1200.21, "end": 1200.51, "word": " زاد", "probability": 0.591796875}, {"start": 1200.51, "end": 1200.69, "word": " X", "probability": 0.787109375}, {"start": 1200.69, "end": 1201.01, "word": " تربية", "probability": 0.6427408854166666}, {"start": 1201.01, "end": 1201.17, "word": " هي", "probability": 0.82568359375}, {"start": 1201.17, "end": 1201.65, "word": " مشتقة", "probability": 0.6653645833333334}, {"start": 1201.65, "end": 1201.97, "word": " 10", "probability": 0.77099609375}, {"start": 1201.97, "end": 1202.39, "word": " inverse", "probability": 0.8544921875}, {"start": 1202.39, "end": 1202.71, "word": " X", "probability": 0.99462890625}, {"start": 1202.71, "end": 1203.27, "word": " صح", "probability": 0.677001953125}, {"start": 1203.27, "end": 1203.65, "word": " بيها", "probability": 0.553955078125}, {"start": 1203.65, "end": 1204.05, "word": " دي؟", "probability": 0.8310546875}, {"start": 1204.05, "end": 1204.93, "word": " لأ", "probability": 0.728759765625}, {"start": 1204.93, "end": 1205.41, "word": " طيب،", "probability": 0.80377197265625}, {"start": 1205.41, "end": 1205.89, "word": " ظلت", "probability": 0.70599365234375}, {"start": 1205.89, "end": 1206.47, "word": " الأولى", "probability": 0.9713541666666666}, {"start": 1206.47, "end": 1207.51, "word": " والأخيرة", "probability": 0.7906494140625}, {"start": 1207.51, "end": 1208.49, "word": " الأولى", "probability": 0.8933919270833334}, {"start": 1208.49, "end": 1209.05, "word": " والأخيرة", "probability": 0.8114013671875}, {"start": 1209.05, "end": 1209.35, "word": " هذه", "probability": 0.479248046875}, {"start": 1209.35, "end": 1209.51, "word": " اللي", "probability": 0.8623046875}, {"start": 1209.51, "end": 1209.81, "word": " فيها", "probability": 0.98486328125}, {"start": 1209.81, "end": 1210.27, "word": " جدر", "probability": 0.7184651692708334}, {"start": 1210.27, "end": 1211.03, "word": " يبدأ", "probability": 0.8766276041666666}, {"start": 1211.03, "end": 1211.51, "word": " بالنسبة", "probability": 0.989013671875}, {"start": 1211.51, "end": 1211.75, "word": " لل", "probability": 0.76318359375}, {"start": 1211.75, "end": 1212.11, "word": " sign", "probability": 0.71435546875}, {"start": 1212.11, "end": 1212.95, "word": " inverse", "probability": 0.8583984375}, {"start": 1212.95, "end": 1213.49, "word": " X", "probability": 0.98486328125}, {"start": 1213.49, "end": 1214.49, "word": " مشتقة", "probability": 0.8670247395833334}, {"start": 1214.49, "end": 1215.03, "word": " 1", "probability": 0.884765625}, {"start": 1215.03, "end": 1215.37, "word": " على", "probability": 0.90283203125}, {"start": 1215.37, "end": 1215.71, "word": " 1", "probability": 0.98828125}, {"start": 1215.71, "end": 1216.25, "word": " نقص", "probability": 0.9186197916666666}, {"start": 1216.25, "end": 1216.59, "word": " X", "probability": 0.994140625}, {"start": 1216.59, "end": 1217.15, "word": " تربية", "probability": 0.9112955729166666}, {"start": 1217.15, "end": 1217.71, "word": " لكن", "probability": 0.7978515625}, {"start": 1217.71, "end": 1217.99, "word": " ال", "probability": 0.8291015625}, {"start": 1217.99, "end": 1218.25, "word": " 6", "probability": 0.07415771484375}, {"start": 1218.25, "end": 1218.77, "word": " inverse", "probability": 0.84423828125}, {"start": 1218.77, "end": 1219.57, "word": " جلبناها", "probability": 0.9512939453125}, {"start": 1219.57, "end": 1220.53, "word": " بصير", "probability": 0.7236328125}, {"start": 1220.53, "end": 1221.05, "word": " ايش؟", "probability": 0.604400634765625}, {"start": 1221.05, "end": 1221.39, "word": " X", "probability": 0.98828125}, {"start": 1221.39, "end": 1222.01, "word": " تربية", "probability": 0.9650065104166666}, {"start": 1222.01, "end": 1222.85, "word": " ناقص", "probability": 0.9744873046875}, {"start": 1222.85, "end": 1223.57, "word": " واحد", "probability": 0.688232421875}, {"start": 1223.57, "end": 1224.07, "word": " ضربنا", "probability": 0.9864908854166666}, {"start": 1224.07, "end": 1224.31, "word": " برا", "probability": 0.858642578125}, {"start": 1224.31, "end": 1224.57, "word": " بس", "probability": 0.937255859375}, {"start": 1224.57, "end": 1224.71, "word": " في", "probability": 0.98291015625}, {"start": 1224.71, "end": 1225.07, "word": " absolute", "probability": 0.83203125}, {"start": 1225.07, "end": 1225.45, "word": " value", "probability": 0.98779296875}, {"start": 1225.45, "end": 1225.65, "word": " ل", "probability": 0.77685546875}, {"start": 1225.65, "end": 1225.95, "word": " X", "probability": 0.78564453125}], "temperature": 1.0}, {"id": 56, "seek": 124374, "start": 1226.86, "end": 1243.74, "text": "يبقى الجذر هو الجذر، قلبنا لتحت، وهذه كل موقف تبتدوا لتحت، ضربناها في مين؟ ضربناها في Absolute فلن .. then كله very easy هذا، easy صحيح بشكل. الحين هذه وسيلة كيف أنا أحفظها", "tokens": [1829, 3555, 4587, 7578, 25724, 8848, 2288, 31439, 25724, 8848, 2288, 12399, 12174, 46152, 8315, 5296, 2655, 33753, 12399, 37037, 24192, 28242, 3714, 30543, 5172, 6055, 3555, 2655, 3215, 14407, 5296, 2655, 33753, 12399, 48812, 25513, 8315, 11296, 8978, 3714, 9957, 22807, 48812, 25513, 8315, 11296, 8978, 43965, 1169, 6156, 1211, 1863, 4386, 550, 28242, 3224, 588, 1858, 23758, 12399, 1858, 20328, 5016, 1829, 5016, 4724, 8592, 28820, 13, 21542, 9957, 29538, 46952, 26895, 3660, 9122, 33911, 41850, 5551, 5016, 5172, 19913, 11296], "avg_logprob": -0.3279389746132351, "compression_ratio": 1.5405405405405406, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1226.86, "end": 1227.48, "word": "يبقى", "probability": 0.8375244140625}, {"start": 1227.48, "end": 1227.92, "word": " الجذر", "probability": 0.7918294270833334}, {"start": 1227.92, "end": 1228.24, "word": " هو", "probability": 0.99267578125}, {"start": 1228.24, "end": 1229.18, "word": " الجذر،", "probability": 0.82257080078125}, {"start": 1229.18, "end": 1229.82, "word": " قلبنا", "probability": 0.8163248697916666}, {"start": 1229.82, "end": 1230.42, "word": " لتحت،", "probability": 0.7149658203125}, {"start": 1230.42, "end": 1230.74, "word": " وهذه", "probability": 0.718017578125}, {"start": 1230.74, "end": 1230.92, "word": " كل", "probability": 0.87646484375}, {"start": 1230.92, "end": 1231.32, "word": " موقف", "probability": 0.477783203125}, {"start": 1231.32, "end": 1231.66, "word": " تبتدوا", "probability": 0.577392578125}, {"start": 1231.66, "end": 1232.14, "word": " لتحت،", "probability": 0.818115234375}, {"start": 1232.14, "end": 1232.52, "word": " ضربناها", "probability": 0.9859619140625}, {"start": 1232.52, "end": 1232.62, "word": " في", "probability": 0.7646484375}, {"start": 1232.62, "end": 1233.28, "word": " مين؟", "probability": 0.7347005208333334}, {"start": 1233.28, "end": 1234.02, "word": " ضربناها", "probability": 0.9923095703125}, {"start": 1234.02, "end": 1234.16, "word": " في", "probability": 0.96923828125}, {"start": 1234.16, "end": 1234.8, "word": " Absolute", "probability": 0.63818359375}, {"start": 1234.8, "end": 1235.08, "word": " فلن", "probability": 0.2850341796875}, {"start": 1235.08, "end": 1235.26, "word": " ..", "probability": 0.27978515625}, {"start": 1235.26, "end": 1235.62, "word": " then", "probability": 0.325927734375}, {"start": 1235.62, "end": 1236.88, "word": " كله", "probability": 0.70751953125}, {"start": 1236.88, "end": 1237.16, "word": " very", "probability": 0.611328125}, {"start": 1237.16, "end": 1237.66, "word": " easy", "probability": 0.97119140625}, {"start": 1237.66, "end": 1238.52, "word": " هذا،", "probability": 0.759033203125}, {"start": 1238.52, "end": 1238.72, "word": " easy", "probability": 0.84228515625}, {"start": 1238.72, "end": 1239.12, "word": " صحيح", "probability": 0.967041015625}, {"start": 1239.12, "end": 1239.54, "word": " بشكل.", "probability": 0.98779296875}, {"start": 1239.88, "end": 1240.3, "word": " الحين", "probability": 0.6871337890625}, {"start": 1240.3, "end": 1240.6, "word": " هذه", "probability": 0.84228515625}, {"start": 1240.6, "end": 1241.52, "word": " وسيلة", "probability": 0.9723307291666666}, {"start": 1241.52, "end": 1242.26, "word": " كيف", "probability": 0.924560546875}, {"start": 1242.26, "end": 1242.72, "word": " أنا", "probability": 0.681640625}, {"start": 1242.72, "end": 1243.74, "word": " أحفظها", "probability": 0.95322265625}], "temperature": 1.0}, {"id": 57, "seek": 127132, "start": 1244.44, "end": 1271.32, "text": "اللي يعني بتلزج في دماغك بعد ما اتحلك كام سؤال بيتجيك لحالك حافظته بدون ايه بدون ما تحاول ايه تحفظهم تمام؟ خير لو حبينا نسأل من أين لك هذا؟ يعني أنت كيف جيبتهم هديه؟ يعني أخبط ألزج بصحتناهم ولا اللي هم براهين؟ اللي هم براهين؟ بديش أبرهنهم كلهم كفيني واحدة بدي أبرهنك واحدة فيهم مشان تعرف كيف أجت", "tokens": [6027, 20292, 37495, 22653, 39894, 1211, 11622, 7435, 8978, 11778, 2304, 5718, 118, 4117, 39182, 19446, 1975, 2655, 5016, 1211, 4117, 9122, 10943, 8608, 33604, 6027, 4724, 36081, 7435, 1829, 4117, 5296, 5016, 6027, 4117, 11331, 31845, 19913, 47395, 47525, 11536, 1975, 1829, 3224, 47525, 11536, 19446, 6055, 5016, 995, 12610, 1975, 1829, 3224, 6055, 5016, 5172, 19913, 16095, 46811, 10943, 22807, 16490, 13546, 45164, 11331, 21292, 8315, 8717, 3794, 10721, 1211, 9154, 5551, 9957, 5296, 4117, 23758, 22807, 37495, 22653, 14739, 2655, 9122, 33911, 10874, 1829, 3555, 2655, 16095, 8032, 16254, 3224, 22807, 37495, 22653, 5551, 9778, 3555, 9566, 5551, 1211, 11622, 7435, 4724, 9381, 33753, 8315, 16095, 49429, 13672, 1829, 8032, 2304, 4724, 23557, 3224, 9957, 22807, 13672, 1829, 8032, 2304, 4724, 23557, 3224, 9957, 22807, 4724, 16254, 8592, 5551, 26890, 3224, 1863, 16095, 28242, 16095, 9122, 5172, 9957, 1829, 36764, 24401, 3660, 4724, 16254, 5551, 26890, 3224, 1863, 4117, 36764, 24401, 3660, 8978, 16095, 37893, 7649, 37279, 28480, 9122, 33911, 5551, 7435, 2655], "avg_logprob": -0.2627245526827738, "compression_ratio": 2.115079365079365, "no_speech_prob": 0.0, "words": [{"start": 1244.44, "end": 1244.88, "word": "اللي", "probability": 0.23773193359375}, {"start": 1244.88, "end": 1245.08, "word": " يعني", "probability": 0.65966796875}, {"start": 1245.08, "end": 1245.6, "word": " بتلزج", "probability": 0.8505859375}, {"start": 1245.6, "end": 1245.74, "word": " في", "probability": 0.29052734375}, {"start": 1245.74, "end": 1246.12, "word": " دماغك", "probability": 0.92265625}, {"start": 1246.12, "end": 1246.34, "word": " بعد", "probability": 0.87255859375}, {"start": 1246.34, "end": 1246.44, "word": " ما", "probability": 0.55810546875}, {"start": 1246.44, "end": 1246.86, "word": " اتحلك", "probability": 0.7184326171875}, {"start": 1246.86, "end": 1247.02, "word": " كام", "probability": 0.680419921875}, {"start": 1247.02, "end": 1247.34, "word": " سؤال", "probability": 0.958984375}, {"start": 1247.34, "end": 1247.82, "word": " بيتجيك", "probability": 0.724169921875}, {"start": 1247.82, "end": 1248.4, "word": " لحالك", "probability": 0.9820556640625}, {"start": 1248.4, "end": 1248.96, "word": " حافظته", "probability": 0.8004150390625}, {"start": 1248.96, "end": 1249.32, "word": " بدون", "probability": 0.7685546875}, {"start": 1249.32, "end": 1249.7, "word": " ايه", "probability": 0.8797200520833334}, {"start": 1249.7, "end": 1250.22, "word": " بدون", "probability": 0.751220703125}, {"start": 1250.22, "end": 1250.32, "word": " ما", "probability": 0.6875}, {"start": 1250.32, "end": 1250.86, "word": " تحاول", "probability": 0.9892578125}, {"start": 1250.86, "end": 1251.34, "word": " ايه", "probability": 0.9615885416666666}, {"start": 1251.34, "end": 1252.18, "word": " تحفظهم", "probability": 0.84638671875}, {"start": 1252.18, "end": 1253.28, "word": " تمام؟", "probability": 0.7167154947916666}, {"start": 1253.28, "end": 1253.66, "word": " خير", "probability": 0.54150390625}, {"start": 1253.66, "end": 1254.48, "word": " لو", "probability": 0.87890625}, {"start": 1254.48, "end": 1255.08, "word": " حبينا", "probability": 0.7836100260416666}, {"start": 1255.08, "end": 1255.72, "word": " نسأل", "probability": 0.9808349609375}, {"start": 1255.72, "end": 1255.96, "word": " من", "probability": 0.89013671875}, {"start": 1255.96, "end": 1256.28, "word": " أين", "probability": 0.828369140625}, {"start": 1256.28, "end": 1256.68, "word": " لك", "probability": 0.973876953125}, {"start": 1256.68, "end": 1257.9, "word": " هذا؟", "probability": 0.694580078125}, {"start": 1257.9, "end": 1258.16, "word": " يعني", "probability": 0.905517578125}, {"start": 1258.16, "end": 1258.46, "word": " أنت", "probability": 0.705810546875}, {"start": 1258.46, "end": 1258.92, "word": " كيف", "probability": 0.983642578125}, {"start": 1258.92, "end": 1259.46, "word": " جيبتهم", "probability": 0.698046875}, {"start": 1259.46, "end": 1260.42, "word": " هديه؟", "probability": 0.6986083984375}, {"start": 1260.42, "end": 1261.06, "word": " يعني", "probability": 0.881591796875}, {"start": 1261.06, "end": 1261.58, "word": " أخبط", "probability": 0.87353515625}, {"start": 1261.58, "end": 1262.0, "word": " ألزج", "probability": 0.840576171875}, {"start": 1262.0, "end": 1262.86, "word": " بصحتناهم", "probability": 0.78408203125}, {"start": 1262.86, "end": 1263.04, "word": " ولا", "probability": 0.346923828125}, {"start": 1263.04, "end": 1263.18, "word": " اللي", "probability": 0.5850830078125}, {"start": 1263.18, "end": 1263.3, "word": " هم", "probability": 0.8603515625}, {"start": 1263.3, "end": 1263.6, "word": " براهين؟", "probability": 0.74267578125}, {"start": 1263.6, "end": 1263.88, "word": " اللي", "probability": 0.861083984375}, {"start": 1263.88, "end": 1264.1, "word": " هم", "probability": 0.989501953125}, {"start": 1264.1, "end": 1265.28, "word": " براهين؟", "probability": 0.874267578125}, {"start": 1265.28, "end": 1265.58, "word": " بديش", "probability": 0.6887003580729166}, {"start": 1265.58, "end": 1266.06, "word": " أبرهنهم", "probability": 0.92548828125}, {"start": 1266.06, "end": 1266.34, "word": " كلهم", "probability": 0.767822265625}, {"start": 1266.34, "end": 1266.88, "word": " كفيني", "probability": 0.8387451171875}, {"start": 1266.88, "end": 1267.36, "word": " واحدة", "probability": 0.9881184895833334}, {"start": 1267.36, "end": 1267.78, "word": " بدي", "probability": 0.8095703125}, {"start": 1267.78, "end": 1268.2, "word": " أبرهنك", "probability": 0.847265625}, {"start": 1268.2, "end": 1268.5, "word": " واحدة", "probability": 0.9912109375}, {"start": 1268.5, "end": 1268.88, "word": " فيهم", "probability": 0.99072265625}, {"start": 1268.88, "end": 1269.6, "word": " مشان", "probability": 0.50970458984375}, {"start": 1269.6, "end": 1270.06, "word": " تعرف", "probability": 0.981201171875}, {"start": 1270.06, "end": 1270.74, "word": " كيف", "probability": 0.982177734375}, {"start": 1270.74, "end": 1271.32, "word": " أجت", "probability": 0.84375}], "temperature": 1.0}, {"id": 58, "seek": 130008, "start": 1271.61, "end": 1300.09, "text": "وبعد قليل بنروح نستخدم التكامل نستفيد معلومات لم نكن نعرفها قبل ذلك خلّيني في الأول اقرأ طبعا اللي بيقول هناك بتيجي إذا برهنت واحد اجوتك الباقي زيه خلاص كله مطلوب ييجي وما ميجيش مهمنيش بهمني تعرف من وين هذا أجا مش نزل من السماء زي ما هو لا نزل بعلم", "tokens": [37746, 22488, 12174, 20292, 1211, 4724, 1863, 32887, 5016, 8717, 14851, 9778, 40448, 16712, 4117, 10943, 1211, 8717, 14851, 5172, 25708, 20449, 1211, 20498, 9307, 32767, 8717, 19452, 8717, 3615, 28480, 11296, 12174, 36150, 29910, 23275, 16490, 1211, 11703, 9957, 1829, 8978, 16247, 12610, 1975, 4587, 2288, 10721, 23032, 3555, 3615, 995, 13672, 1829, 4724, 1829, 39648, 34105, 4117, 39894, 1829, 7435, 1829, 11933, 15730, 4724, 2288, 3224, 29399, 36764, 24401, 1975, 7435, 35473, 4117, 29739, 995, 38436, 30767, 1829, 3224, 16490, 1211, 33546, 28242, 3224, 3714, 9566, 1211, 37746, 7251, 1829, 7435, 1829, 4032, 15042, 3714, 1829, 7435, 1829, 8592, 3714, 16095, 22653, 8592, 4724, 16095, 22653, 37279, 28480, 9154, 4032, 9957, 23758, 5551, 7435, 995, 37893, 8717, 11622, 1211, 9154, 21136, 2304, 16606, 30767, 1829, 19446, 31439, 20193, 8717, 11622, 1211, 45030, 19528], "avg_logprob": -0.2394301537424326, "compression_ratio": 1.8471074380165289, "no_speech_prob": 0.0, "words": [{"start": 1271.61, "end": 1272.29, "word": "وبعد", "probability": 0.885498046875}, {"start": 1272.29, "end": 1273.07, "word": " قليل", "probability": 0.9825846354166666}, {"start": 1273.07, "end": 1274.19, "word": " بنروح", "probability": 0.600494384765625}, {"start": 1274.19, "end": 1274.87, "word": " نستخدم", "probability": 0.9195556640625}, {"start": 1274.87, "end": 1275.87, "word": " التكامل", "probability": 0.947509765625}, {"start": 1275.87, "end": 1276.81, "word": " نستفيد", "probability": 0.8970947265625}, {"start": 1276.81, "end": 1277.57, "word": " معلومات", "probability": 0.9398193359375}, {"start": 1277.57, "end": 1277.81, "word": " لم", "probability": 0.9404296875}, {"start": 1277.81, "end": 1278.23, "word": " نكن", "probability": 0.9853515625}, {"start": 1278.23, "end": 1279.05, "word": " نعرفها", "probability": 0.9794921875}, {"start": 1279.05, "end": 1279.59, "word": " قبل", "probability": 0.9931640625}, {"start": 1279.59, "end": 1280.15, "word": " ذلك", "probability": 0.9931640625}, {"start": 1280.15, "end": 1281.07, "word": " خلّيني", "probability": 0.64951171875}, {"start": 1281.07, "end": 1281.17, "word": " في", "probability": 0.68994140625}, {"start": 1281.17, "end": 1281.47, "word": " الأول", "probability": 0.9580078125}, {"start": 1281.47, "end": 1281.93, "word": " اقرأ", "probability": 0.570556640625}, {"start": 1281.93, "end": 1285.33, "word": " طبعا", "probability": 0.78851318359375}, {"start": 1285.33, "end": 1286.71, "word": " اللي", "probability": 0.6002197265625}, {"start": 1286.71, "end": 1286.99, "word": " بيقول", "probability": 0.76318359375}, {"start": 1286.99, "end": 1287.29, "word": " هناك", "probability": 0.606201171875}, {"start": 1287.29, "end": 1287.79, "word": " بتيجي", "probability": 0.844482421875}, {"start": 1287.79, "end": 1288.25, "word": " إذا", "probability": 0.7420654296875}, {"start": 1288.25, "end": 1288.63, "word": " برهنت", "probability": 0.8955078125}, {"start": 1288.63, "end": 1288.93, "word": " واحد", "probability": 0.978515625}, {"start": 1288.93, "end": 1289.37, "word": " اجوتك", "probability": 0.59442138671875}, {"start": 1289.37, "end": 1289.71, "word": " الباقي", "probability": 0.8409830729166666}, {"start": 1289.71, "end": 1290.01, "word": " زيه", "probability": 0.9778645833333334}, {"start": 1290.01, "end": 1290.31, "word": " خلاص", "probability": 0.8636067708333334}, {"start": 1290.31, "end": 1290.77, "word": " كله", "probability": 0.5250244140625}, {"start": 1290.77, "end": 1291.59, "word": " مطلوب", "probability": 0.954833984375}, {"start": 1291.59, "end": 1291.97, "word": " ييجي", "probability": 0.922607421875}, {"start": 1291.97, "end": 1292.17, "word": " وما", "probability": 0.5103759765625}, {"start": 1292.17, "end": 1292.57, "word": " ميجيش", "probability": 0.813623046875}, {"start": 1292.57, "end": 1293.25, "word": " مهمنيش", "probability": 0.6795654296875}, {"start": 1293.25, "end": 1294.41, "word": " بهمني", "probability": 0.7042643229166666}, {"start": 1294.41, "end": 1295.07, "word": " تعرف", "probability": 0.917236328125}, {"start": 1295.07, "end": 1295.29, "word": " من", "probability": 0.97705078125}, {"start": 1295.29, "end": 1295.51, "word": " وين", "probability": 0.917724609375}, {"start": 1295.51, "end": 1295.79, "word": " هذا", "probability": 0.87109375}, {"start": 1295.79, "end": 1296.17, "word": " أجا", "probability": 0.6895345052083334}, {"start": 1296.17, "end": 1296.73, "word": " مش", "probability": 0.9111328125}, {"start": 1296.73, "end": 1297.15, "word": " نزل", "probability": 0.96630859375}, {"start": 1297.15, "end": 1297.31, "word": " من", "probability": 0.9912109375}, {"start": 1297.31, "end": 1297.71, "word": " السماء", "probability": 0.97607421875}, {"start": 1297.71, "end": 1297.91, "word": " زي", "probability": 0.947265625}, {"start": 1297.91, "end": 1298.05, "word": " ما", "probability": 0.98486328125}, {"start": 1298.05, "end": 1298.39, "word": " هو", "probability": 0.99072265625}, {"start": 1298.39, "end": 1299.19, "word": " لا", "probability": 0.459228515625}, {"start": 1299.19, "end": 1299.65, "word": " نزل", "probability": 0.9798177083333334}, {"start": 1299.65, "end": 1300.09, "word": " بعلم", "probability": 0.926025390625}], "temperature": 1.0}, {"id": 59, "seek": 131368, "start": 1300.94, "end": 1313.68, "text": "فهو نجي لو أخد مثلا A على بارة كده، لو عندنا Y تساوي الصين inverse X، بدنا نشتاقها", "tokens": [5172, 3224, 2407, 8717, 7435, 1829, 45164, 5551, 9778, 3215, 50113, 15040, 316, 15844, 4724, 9640, 3660, 9122, 3215, 3224, 12399, 45164, 43242, 8315, 398, 6055, 3794, 995, 45865, 31767, 9957, 17340, 1783, 12399, 47525, 8315, 8717, 8592, 2655, 995, 4587, 11296], "avg_logprob": -0.4037063981211463, "compression_ratio": 1.1512605042016806, "no_speech_prob": 0.0, "words": [{"start": 1300.94, "end": 1301.72, "word": "فهو", "probability": 0.5331624348958334}, {"start": 1301.72, "end": 1302.14, "word": " نجي", "probability": 0.6258138020833334}, {"start": 1302.14, "end": 1302.3, "word": " لو", "probability": 0.91552734375}, {"start": 1302.3, "end": 1302.68, "word": " أخد", "probability": 0.8759765625}, {"start": 1302.68, "end": 1303.26, "word": " مثلا", "probability": 0.963623046875}, {"start": 1303.26, "end": 1303.76, "word": " A", "probability": 0.5185546875}, {"start": 1303.76, "end": 1305.02, "word": " على", "probability": 0.23095703125}, {"start": 1305.02, "end": 1305.34, "word": " بارة", "probability": 0.4246826171875}, {"start": 1305.34, "end": 1306.58, "word": " كده،", "probability": 0.7010498046875}, {"start": 1306.58, "end": 1306.92, "word": " لو", "probability": 0.95947265625}, {"start": 1306.92, "end": 1307.46, "word": " عندنا", "probability": 0.61383056640625}, {"start": 1307.46, "end": 1308.04, "word": " Y", "probability": 0.85595703125}, {"start": 1308.04, "end": 1309.0, "word": " تساوي", "probability": 0.8712158203125}, {"start": 1309.0, "end": 1309.82, "word": " الصين", "probability": 0.580078125}, {"start": 1309.82, "end": 1310.6, "word": " inverse", "probability": 0.72705078125}, {"start": 1310.6, "end": 1312.44, "word": " X،", "probability": 0.828125}, {"start": 1312.44, "end": 1312.9, "word": " بدنا", "probability": 0.6143798828125}, {"start": 1312.9, "end": 1313.68, "word": " نشتاقها", "probability": 0.968505859375}], "temperature": 1.0}, {"id": 60, "seek": 133882, "start": 1314.36, "end": 1338.82, "text": "عشان اشتغل انا ماعرفش مشتقة ال sign inverse لكن بقدر اجيب العبارة المكافية لهذه العبارة العبارة المكافية لهذه العبارة اللي هي ال sign ال Y بدل سواء من؟ بدل سواء X بنقول اه يعني لو كان عندي مثلث قائم الزاوية بهذا الشكل وهذه الزاوية Y", "tokens": [3615, 8592, 7649, 1975, 8592, 2655, 17082, 1211, 1975, 8315, 19446, 3615, 28480, 8592, 37893, 2655, 28671, 2423, 1465, 17340, 44381, 4724, 28543, 2288, 1975, 7435, 1829, 3555, 18863, 3555, 9640, 3660, 9673, 4117, 31845, 10632, 46740, 24192, 18863, 3555, 9640, 3660, 18863, 3555, 9640, 3660, 9673, 4117, 31845, 10632, 46740, 24192, 18863, 3555, 9640, 3660, 13672, 1829, 39896, 2423, 1465, 2423, 398, 47525, 1211, 8608, 2407, 16606, 9154, 22807, 47525, 1211, 8608, 2407, 16606, 1783, 44945, 39648, 1975, 3224, 37495, 22653, 45164, 25961, 18871, 16254, 50113, 1211, 12984, 12174, 16373, 2304, 6024, 110, 995, 2407, 10632, 39627, 15730, 25124, 28820, 37037, 24192, 6024, 110, 995, 2407, 10632, 398], "avg_logprob": -0.19985794912685048, "compression_ratio": 1.9609756097560975, "no_speech_prob": 0.0, "words": [{"start": 1314.36, "end": 1314.88, "word": "عشان", "probability": 0.6059163411458334}, {"start": 1314.88, "end": 1315.52, "word": " اشتغل", "probability": 0.83681640625}, {"start": 1315.52, "end": 1315.62, "word": " انا", "probability": 0.5906982421875}, {"start": 1315.62, "end": 1315.98, "word": " ماعرفش", "probability": 0.9107666015625}, {"start": 1315.98, "end": 1316.5, "word": " مشتقة", "probability": 0.72119140625}, {"start": 1316.5, "end": 1316.74, "word": " ال", "probability": 0.7568359375}, {"start": 1316.74, "end": 1316.94, "word": " sign", "probability": 0.342529296875}, {"start": 1316.94, "end": 1317.5, "word": " inverse", "probability": 0.85693359375}, {"start": 1317.5, "end": 1318.3, "word": " لكن", "probability": 0.56005859375}, {"start": 1318.3, "end": 1318.96, "word": " بقدر", "probability": 0.9666341145833334}, {"start": 1318.96, "end": 1319.74, "word": " اجيب", "probability": 0.91943359375}, {"start": 1319.74, "end": 1320.52, "word": " العبارة", "probability": 0.97216796875}, {"start": 1320.52, "end": 1321.34, "word": " المكافية", "probability": 0.8968505859375}, {"start": 1321.34, "end": 1321.9, "word": " لهذه", "probability": 0.891357421875}, {"start": 1321.9, "end": 1322.66, "word": " العبارة", "probability": 0.98583984375}, {"start": 1322.66, "end": 1323.7, "word": " العبارة", "probability": 0.956787109375}, {"start": 1323.7, "end": 1324.4, "word": " المكافية", "probability": 0.98486328125}, {"start": 1324.4, "end": 1324.88, "word": " لهذه", "probability": 0.983642578125}, {"start": 1324.88, "end": 1325.56, "word": " العبارة", "probability": 0.98876953125}, {"start": 1325.56, "end": 1325.66, "word": " اللي", "probability": 0.72900390625}, {"start": 1325.66, "end": 1325.8, "word": " هي", "probability": 0.908203125}, {"start": 1325.8, "end": 1326.02, "word": " ال", "probability": 0.6181640625}, {"start": 1326.02, "end": 1326.5, "word": " sign", "probability": 0.8564453125}, {"start": 1326.5, "end": 1326.92, "word": " ال", "probability": 0.80078125}, {"start": 1326.92, "end": 1327.3, "word": " Y", "probability": 0.483642578125}, {"start": 1327.3, "end": 1327.6, "word": " بدل", "probability": 0.4224853515625}, {"start": 1327.6, "end": 1328.02, "word": " سواء", "probability": 0.6209309895833334}, {"start": 1328.02, "end": 1328.72, "word": " من؟", "probability": 0.41204833984375}, {"start": 1328.72, "end": 1329.26, "word": " بدل", "probability": 0.900146484375}, {"start": 1329.26, "end": 1329.66, "word": " سواء", "probability": 0.95068359375}, {"start": 1329.66, "end": 1330.02, "word": " X", "probability": 0.7431640625}, {"start": 1330.02, "end": 1330.98, "word": " بنقول", "probability": 0.8740234375}, {"start": 1330.98, "end": 1331.46, "word": " اه", "probability": 0.89697265625}, {"start": 1331.46, "end": 1331.74, "word": " يعني", "probability": 0.87548828125}, {"start": 1331.74, "end": 1332.0, "word": " لو", "probability": 0.9580078125}, {"start": 1332.0, "end": 1332.4, "word": " كان", "probability": 0.98828125}, {"start": 1332.4, "end": 1332.84, "word": " عندي", "probability": 0.791748046875}, {"start": 1332.84, "end": 1333.64, "word": " مثلث", "probability": 0.9371744791666666}, {"start": 1333.64, "end": 1334.24, "word": " قائم", "probability": 0.98681640625}, {"start": 1334.24, "end": 1335.08, "word": " الزاوية", "probability": 0.95615234375}, {"start": 1335.08, "end": 1336.1, "word": " بهذا", "probability": 0.952392578125}, {"start": 1336.1, "end": 1336.72, "word": " الشكل", "probability": 0.989501953125}, {"start": 1336.72, "end": 1337.6, "word": " وهذه", "probability": 0.566650390625}, {"start": 1337.6, "end": 1338.38, "word": " الزاوية", "probability": 0.9791015625}, {"start": 1338.38, "end": 1338.82, "word": " Y", "probability": 0.9326171875}], "temperature": 1.0}, {"id": 61, "seek": 135387, "start": 1339.47, "end": 1353.87, "text": "فجيب الوعي المقابل على ال water يبقى هذا المقابل و هذا ال water و حسب فيه ثغورت اقبلها التالت واحد ناقص extra beer", "tokens": [5172, 7435, 1829, 3555, 2423, 45367, 1829, 9673, 4587, 16758, 1211, 15844, 2423, 1281, 7251, 3555, 4587, 7578, 23758, 9673, 4587, 16758, 1211, 4032, 23758, 2423, 1281, 4032, 11331, 35457, 8978, 3224, 38637, 17082, 13063, 2655, 1975, 4587, 36150, 11296, 16712, 6027, 2655, 36764, 24401, 8717, 995, 4587, 9381, 2857, 8795], "avg_logprob": -0.16661658711158311, "compression_ratio": 1.4841269841269842, "no_speech_prob": 0.0, "words": [{"start": 1339.47, "end": 1340.23, "word": "فجيب", "probability": 0.8487548828125}, {"start": 1340.23, "end": 1341.01, "word": " الوعي", "probability": 0.9484049479166666}, {"start": 1341.01, "end": 1342.09, "word": " المقابل", "probability": 0.98876953125}, {"start": 1342.09, "end": 1342.77, "word": " على", "probability": 0.90966796875}, {"start": 1342.77, "end": 1342.95, "word": " ال", "probability": 0.9345703125}, {"start": 1342.95, "end": 1343.31, "word": " water", "probability": 0.86376953125}, {"start": 1343.31, "end": 1344.37, "word": " يبقى", "probability": 0.8944091796875}, {"start": 1344.37, "end": 1344.69, "word": " هذا", "probability": 0.9482421875}, {"start": 1344.69, "end": 1345.85, "word": " المقابل", "probability": 0.990478515625}, {"start": 1345.85, "end": 1346.25, "word": " و", "probability": 0.7431640625}, {"start": 1346.25, "end": 1346.59, "word": " هذا", "probability": 0.92578125}, {"start": 1346.59, "end": 1346.79, "word": " ال", "probability": 0.90478515625}, {"start": 1346.79, "end": 1347.23, "word": " water", "probability": 0.92822265625}, {"start": 1347.23, "end": 1347.73, "word": " و", "probability": 0.94091796875}, {"start": 1347.73, "end": 1348.23, "word": " حسب", "probability": 0.795166015625}, {"start": 1348.23, "end": 1348.65, "word": " فيه", "probability": 0.831298828125}, {"start": 1348.65, "end": 1349.61, "word": " ثغورت", "probability": 0.775146484375}, {"start": 1349.61, "end": 1350.41, "word": " اقبلها", "probability": 0.67938232421875}, {"start": 1350.41, "end": 1351.11, "word": " التالت", "probability": 0.9095052083333334}, {"start": 1351.11, "end": 1352.11, "word": " واحد", "probability": 0.989013671875}, {"start": 1352.11, "end": 1353.03, "word": " ناقص", "probability": 0.9796142578125}, {"start": 1353.03, "end": 1353.51, "word": " extra", "probability": 0.79638671875}, {"start": 1353.51, "end": 1353.87, "word": " beer", "probability": 0.2335205078125}], "temperature": 1.0}, {"id": 62, "seek": 138029, "start": 1354.77, "end": 1380.29, "text": "طب ان نشتاق هذه يبقى هذا بيعطيك تفاضل ال sign بيكو صين واي في دي واي على دي اكس هذا مشتاقة الطرف الشمالي الطرف اليمين مشتاقة الجدرش بواحد هذا بيعطيك ان دي واي by دي اكس بيساوي واحد على كوصين الواحد", "tokens": [9566, 3555, 16472, 8717, 8592, 2655, 995, 4587, 29538, 7251, 3555, 4587, 7578, 23758, 4724, 1829, 3615, 9566, 1829, 4117, 6055, 5172, 46958, 1211, 2423, 1465, 4724, 1829, 4117, 2407, 20328, 9957, 4032, 47302, 8978, 11778, 1829, 4032, 47302, 15844, 11778, 1829, 1975, 4117, 3794, 23758, 37893, 2655, 995, 28671, 41950, 28480, 25124, 2304, 6027, 1829, 41950, 28480, 2423, 32640, 9957, 37893, 2655, 995, 28671, 25724, 3215, 2288, 8592, 4724, 14407, 24401, 23758, 4724, 1829, 3615, 9566, 1829, 4117, 16472, 11778, 1829, 4032, 47302, 538, 11778, 1829, 1975, 4117, 3794, 4724, 1829, 3794, 995, 45865, 36764, 24401, 15844, 9122, 2407, 9381, 9957, 2423, 14407, 24401], "avg_logprob": -0.302181602367815, "compression_ratio": 1.9885714285714287, "no_speech_prob": 0.0, "words": [{"start": 1354.77, "end": 1355.13, "word": "طب", "probability": 0.6068115234375}, {"start": 1355.13, "end": 1356.31, "word": " ان", "probability": 0.5732421875}, {"start": 1356.31, "end": 1356.95, "word": " نشتاق", "probability": 0.75712890625}, {"start": 1356.95, "end": 1357.47, "word": " هذه", "probability": 0.55029296875}, {"start": 1357.47, "end": 1358.29, "word": " يبقى", "probability": 0.738739013671875}, {"start": 1358.29, "end": 1358.55, "word": " هذا", "probability": 0.483642578125}, {"start": 1358.55, "end": 1359.47, "word": " بيعطيك", "probability": 0.727783203125}, {"start": 1359.47, "end": 1360.11, "word": " تفاضل", "probability": 0.955322265625}, {"start": 1360.11, "end": 1360.33, "word": " ال", "probability": 0.7587890625}, {"start": 1360.33, "end": 1360.63, "word": " sign", "probability": 0.19287109375}, {"start": 1360.63, "end": 1361.35, "word": " بيكو", "probability": 0.652587890625}, {"start": 1361.35, "end": 1362.03, "word": " صين", "probability": 0.74072265625}, {"start": 1362.03, "end": 1362.59, "word": " واي", "probability": 0.49493408203125}, {"start": 1362.59, "end": 1363.17, "word": " في", "probability": 0.91357421875}, {"start": 1363.17, "end": 1363.67, "word": " دي", "probability": 0.6185302734375}, {"start": 1363.67, "end": 1364.51, "word": " واي", "probability": 0.756591796875}, {"start": 1364.51, "end": 1364.81, "word": " على", "probability": 0.71240234375}, {"start": 1364.81, "end": 1365.13, "word": " دي", "probability": 0.95654296875}, {"start": 1365.13, "end": 1365.51, "word": " اكس", "probability": 0.87548828125}, {"start": 1365.51, "end": 1365.85, "word": " هذا", "probability": 0.71875}, {"start": 1365.85, "end": 1366.35, "word": " مشتاقة", "probability": 0.7684326171875}, {"start": 1366.35, "end": 1366.73, "word": " الطرف", "probability": 0.901123046875}, {"start": 1366.73, "end": 1367.71, "word": " الشمالي", "probability": 0.902587890625}, {"start": 1367.71, "end": 1368.25, "word": " الطرف", "probability": 0.89892578125}, {"start": 1368.25, "end": 1368.59, "word": " اليمين", "probability": 0.802490234375}, {"start": 1368.59, "end": 1369.11, "word": " مشتاقة", "probability": 0.89404296875}, {"start": 1369.11, "end": 1370.11, "word": " الجدرش", "probability": 0.7003173828125}, {"start": 1370.11, "end": 1370.83, "word": " بواحد", "probability": 0.8001302083333334}, {"start": 1370.83, "end": 1371.77, "word": " هذا", "probability": 0.80859375}, {"start": 1371.77, "end": 1372.83, "word": " بيعطيك", "probability": 0.9010416666666666}, {"start": 1372.83, "end": 1373.13, "word": " ان", "probability": 0.8603515625}, {"start": 1373.13, "end": 1373.61, "word": " دي", "probability": 0.827880859375}, {"start": 1373.61, "end": 1374.09, "word": " واي", "probability": 0.81591796875}, {"start": 1374.09, "end": 1374.85, "word": " by", "probability": 0.55859375}, {"start": 1374.85, "end": 1375.25, "word": " دي", "probability": 0.95947265625}, {"start": 1375.25, "end": 1375.79, "word": " اكس", "probability": 0.974609375}, {"start": 1375.79, "end": 1377.11, "word": " بيساوي", "probability": 0.657421875}, {"start": 1377.11, "end": 1378.17, "word": " واحد", "probability": 0.96435546875}, {"start": 1378.17, "end": 1378.63, "word": " على", "probability": 0.79248046875}, {"start": 1378.63, "end": 1379.85, "word": " كوصين", "probability": 0.722412109375}, {"start": 1379.85, "end": 1380.29, "word": " الواحد", "probability": 0.8167317708333334}], "temperature": 1.0}, {"id": 63, "seek": 138907, "start": 1381.71, "end": 1389.07, "text": "طبعا هذا بده يعطيك دي على دي إكس ليه؟ مين هي ال Y؟", "tokens": [9566, 3555, 3615, 995, 23758, 47525, 3224, 7251, 3615, 9566, 1829, 4117, 11778, 1829, 15844, 11778, 1829, 11933, 4117, 3794, 32239, 3224, 22807, 3714, 9957, 39896, 2423, 398, 22807], "avg_logprob": -0.4226562629143397, "compression_ratio": 1.12987012987013, "no_speech_prob": 0.0, "words": [{"start": 1381.71, "end": 1382.27, "word": "طبعا", "probability": 0.748443603515625}, {"start": 1382.27, "end": 1383.29, "word": " هذا", "probability": 0.48291015625}, {"start": 1383.29, "end": 1383.73, "word": " بده", "probability": 0.38623046875}, {"start": 1383.73, "end": 1384.43, "word": " يعطيك", "probability": 0.79443359375}, {"start": 1384.43, "end": 1385.35, "word": " دي", "probability": 0.638671875}, {"start": 1385.35, "end": 1385.79, "word": " على", "probability": 0.404541015625}, {"start": 1385.79, "end": 1386.33, "word": " دي", "probability": 0.984619140625}, {"start": 1386.33, "end": 1386.85, "word": " إكس", "probability": 0.7538248697916666}, {"start": 1386.85, "end": 1387.59, "word": " ليه؟", "probability": 0.9085286458333334}, {"start": 1387.59, "end": 1387.87, "word": " مين", "probability": 0.850341796875}, {"start": 1387.87, "end": 1388.09, "word": " هي", "probability": 0.9287109375}, {"start": 1388.09, "end": 1388.33, "word": " ال", "probability": 0.9873046875}, {"start": 1388.33, "end": 1389.07, "word": " Y؟", "probability": 0.614990234375}], "temperature": 1.0}, {"id": 64, "seek": 141279, "start": 1389.81, "end": 1412.79, "text": "Sin inverse X صحيح ولا لأ؟ إذا بدي أشيل Y و أضع متى الـSin inverse X بدي يساوي واحد.بتدى دي على ال cosine زي Y ال cosine هو المجاور على ال water يبقى الجذري التربيعي لمين؟ لو واحد ناقص X تربيع.وهو المطلوب؟", "tokens": [50, 259, 17340, 1783, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 11933, 15730, 4724, 16254, 5551, 8592, 26895, 398, 4032, 5551, 11242, 3615, 44650, 7578, 2423, 39184, 50, 259, 17340, 1783, 4724, 16254, 7251, 3794, 995, 45865, 36764, 24401, 13, 3555, 2655, 3215, 7578, 11778, 1829, 15844, 2423, 23565, 30767, 1829, 398, 2423, 23565, 31439, 9673, 7435, 995, 13063, 15844, 2423, 1281, 7251, 3555, 4587, 7578, 25724, 8848, 16572, 16712, 2288, 21292, 3615, 1829, 32767, 9957, 22807, 45164, 36764, 24401, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3615, 13, 2407, 3224, 2407, 9673, 9566, 1211, 37746, 22807], "avg_logprob": -0.3921874898672104, "compression_ratio": 1.6414141414141414, "no_speech_prob": 0.0, "words": [{"start": 1389.81, "end": 1390.31, "word": "Sin", "probability": 0.55255126953125}, {"start": 1390.31, "end": 1390.69, "word": " inverse", "probability": 0.52685546875}, {"start": 1390.69, "end": 1391.11, "word": " X", "probability": 0.62548828125}, {"start": 1391.11, "end": 1391.61, "word": " صحيح", "probability": 0.900634765625}, {"start": 1391.61, "end": 1391.75, "word": " ولا", "probability": 0.365966796875}, {"start": 1391.75, "end": 1392.37, "word": " لأ؟", "probability": 0.622802734375}, {"start": 1392.37, "end": 1392.59, "word": " إذا", "probability": 0.5660400390625}, {"start": 1392.59, "end": 1392.89, "word": " بدي", "probability": 0.5029296875}, {"start": 1392.89, "end": 1393.15, "word": " أشيل", "probability": 0.703125}, {"start": 1393.15, "end": 1393.37, "word": " Y", "probability": 0.89599609375}, {"start": 1393.37, "end": 1393.51, "word": " و", "probability": 0.85302734375}, {"start": 1393.51, "end": 1393.81, "word": " أضع", "probability": 0.51123046875}, {"start": 1393.81, "end": 1394.37, "word": " متى", "probability": 0.4058837890625}, {"start": 1394.37, "end": 1395.31, "word": " الـSin", "probability": 0.56903076171875}, {"start": 1395.31, "end": 1396.41, "word": " inverse", "probability": 0.71728515625}, {"start": 1396.41, "end": 1397.01, "word": " X", "probability": 0.984375}, {"start": 1397.01, "end": 1397.57, "word": " بدي", "probability": 0.5958251953125}, {"start": 1397.57, "end": 1398.05, "word": " يساوي", "probability": 0.7083740234375}, {"start": 1398.05, "end": 1398.51, "word": " واحد", "probability": 0.84619140625}, {"start": 1398.51, "end": 1399.21, "word": ".بتدى", "probability": 0.3941162109375}, {"start": 1399.21, "end": 1399.33, "word": " دي", "probability": 0.6185302734375}, {"start": 1399.33, "end": 1399.53, "word": " على", "probability": 0.85205078125}, {"start": 1399.53, "end": 1399.69, "word": " ال", "probability": 0.31298828125}, {"start": 1399.69, "end": 1400.11, "word": " cosine", "probability": 0.2113037109375}, {"start": 1400.11, "end": 1400.67, "word": " زي", "probability": 0.83544921875}, {"start": 1400.67, "end": 1401.37, "word": " Y", "probability": 0.46728515625}, {"start": 1401.37, "end": 1401.99, "word": " ال", "probability": 0.34521484375}, {"start": 1401.99, "end": 1402.37, "word": " cosine", "probability": 0.701171875}, {"start": 1402.37, "end": 1402.59, "word": " هو", "probability": 0.98095703125}, {"start": 1402.59, "end": 1403.55, "word": " المجاور", "probability": 0.9813232421875}, {"start": 1403.55, "end": 1403.91, "word": " على", "probability": 0.890625}, {"start": 1403.91, "end": 1404.15, "word": " ال", "probability": 0.98046875}, {"start": 1404.15, "end": 1404.51, "word": " water", "probability": 0.41796875}, {"start": 1404.51, "end": 1405.55, "word": " يبقى", "probability": 0.9439697265625}, {"start": 1405.55, "end": 1406.11, "word": " الجذري", "probability": 0.8336588541666666}, {"start": 1406.11, "end": 1407.27, "word": " التربيعي", "probability": 0.88544921875}, {"start": 1407.27, "end": 1408.47, "word": " لمين؟", "probability": 0.8426106770833334}, {"start": 1408.47, "end": 1408.75, "word": " لو", "probability": 0.70068359375}, {"start": 1408.75, "end": 1409.17, "word": " واحد", "probability": 0.945556640625}, {"start": 1409.17, "end": 1409.91, "word": " ناقص", "probability": 0.9801025390625}, {"start": 1409.91, "end": 1410.25, "word": " X", "probability": 0.93603515625}, {"start": 1410.25, "end": 1410.97, "word": " تربيع", "probability": 0.9041748046875}, {"start": 1410.97, "end": 1411.79, "word": ".وهو", "probability": 0.76776123046875}, {"start": 1411.79, "end": 1412.79, "word": " المطلوب؟", "probability": 0.953515625}], "temperature": 1.0}, {"id": 65, "seek": 144306, "start": 1414.04, "end": 1443.06, "text": "مظلومش هنا it's chain rule بدي بقول if ال U is a differentiable function of X then بدي أطبق ال chain rule فبقول دي على دي اكس ل sign inverse U يساوي واحد على الجدر التربية لواحد ناقص U تربية في دي U على دي X وهنا ال absolute value ل U أقل من الواحد", "tokens": [2304, 19913, 1211, 20498, 8592, 34105, 309, 311, 5021, 4978, 4724, 16254, 4724, 39648, 498, 2423, 624, 307, 257, 819, 9364, 2445, 295, 1783, 550, 4724, 16254, 5551, 9566, 3555, 4587, 2423, 5021, 4978, 6156, 3555, 39648, 11778, 1829, 15844, 11778, 1829, 1975, 4117, 3794, 5296, 1465, 17340, 624, 7251, 3794, 995, 45865, 36764, 24401, 15844, 25724, 3215, 2288, 16712, 2288, 21292, 3660, 5296, 14407, 24401, 8717, 995, 4587, 9381, 624, 6055, 2288, 21292, 3660, 8978, 11778, 1829, 624, 15844, 11778, 1829, 1783, 37037, 8315, 2423, 8236, 2158, 5296, 624, 5551, 4587, 1211, 9154, 2423, 14407, 24401], "avg_logprob": -0.35044642917963925, "compression_ratio": 1.575221238938053, "no_speech_prob": 0.0, "words": [{"start": 1414.04, "end": 1414.64, "word": "مظلومش", "probability": 0.30914306640625}, {"start": 1414.64, "end": 1414.82, "word": " هنا", "probability": 0.765625}, {"start": 1414.82, "end": 1415.08, "word": " it's", "probability": 0.4585723876953125}, {"start": 1415.08, "end": 1415.36, "word": " chain", "probability": 0.6044921875}, {"start": 1415.36, "end": 1415.66, "word": " rule", "probability": 0.9365234375}, {"start": 1415.66, "end": 1416.4, "word": " بدي", "probability": 0.43701171875}, {"start": 1416.4, "end": 1416.86, "word": " بقول", "probability": 0.972412109375}, {"start": 1416.86, "end": 1417.72, "word": " if", "probability": 0.6826171875}, {"start": 1417.72, "end": 1418.56, "word": " ال", "probability": 0.81689453125}, {"start": 1418.56, "end": 1418.88, "word": " U", "probability": 0.5341796875}, {"start": 1418.88, "end": 1419.6, "word": " is", "probability": 0.88720703125}, {"start": 1419.6, "end": 1420.18, "word": " a", "probability": 0.95361328125}, {"start": 1420.18, "end": 1421.58, "word": " differentiable", "probability": 0.9384765625}, {"start": 1421.58, "end": 1422.78, "word": " function", "probability": 0.95166015625}, {"start": 1422.78, "end": 1423.96, "word": " of", "probability": 0.96484375}, {"start": 1423.96, "end": 1424.52, "word": " X", "probability": 0.767578125}, {"start": 1424.52, "end": 1425.3, "word": " then", "probability": 0.5107421875}, {"start": 1425.3, "end": 1425.92, "word": " بدي", "probability": 0.6297607421875}, {"start": 1425.92, "end": 1426.38, "word": " أطبق", "probability": 0.8106689453125}, {"start": 1426.38, "end": 1426.54, "word": " ال", "probability": 0.453369140625}, {"start": 1426.54, "end": 1426.8, "word": " chain", "probability": 0.86181640625}, {"start": 1426.8, "end": 1427.24, "word": " rule", "probability": 0.94677734375}, {"start": 1427.24, "end": 1428.14, "word": " فبقول", "probability": 0.9036458333333334}, {"start": 1428.14, "end": 1428.52, "word": " دي", "probability": 0.6376953125}, {"start": 1428.52, "end": 1428.78, "word": " على", "probability": 0.84423828125}, {"start": 1428.78, "end": 1429.12, "word": " دي", "probability": 0.73681640625}, {"start": 1429.12, "end": 1429.52, "word": " اكس", "probability": 0.7473958333333334}, {"start": 1429.52, "end": 1430.02, "word": " ل", "probability": 0.916015625}, {"start": 1430.02, "end": 1430.56, "word": " sign", "probability": 0.275390625}, {"start": 1430.56, "end": 1431.42, "word": " inverse", "probability": 0.9130859375}, {"start": 1431.42, "end": 1431.86, "word": " U", "probability": 0.88525390625}, {"start": 1431.86, "end": 1432.98, "word": " يساوي", "probability": 0.822509765625}, {"start": 1432.98, "end": 1433.66, "word": " واحد", "probability": 0.94140625}, {"start": 1433.66, "end": 1434.22, "word": " على", "probability": 0.81787109375}, {"start": 1434.22, "end": 1434.66, "word": " الجدر", "probability": 0.8951822916666666}, {"start": 1434.66, "end": 1435.22, "word": " التربية", "probability": 0.58416748046875}, {"start": 1435.22, "end": 1435.84, "word": " لواحد", "probability": 0.6962890625}, {"start": 1435.84, "end": 1436.48, "word": " ناقص", "probability": 0.8961181640625}, {"start": 1436.48, "end": 1436.68, "word": " U", "probability": 0.9677734375}, {"start": 1436.68, "end": 1437.42, "word": " تربية", "probability": 0.881103515625}, {"start": 1437.42, "end": 1437.84, "word": " في", "probability": 0.6123046875}, {"start": 1437.84, "end": 1438.2, "word": " دي", "probability": 0.6298828125}, {"start": 1438.2, "end": 1438.4, "word": " U", "probability": 0.82666015625}, {"start": 1438.4, "end": 1438.72, "word": " على", "probability": 0.7705078125}, {"start": 1438.72, "end": 1439.04, "word": " دي", "probability": 0.985107421875}, {"start": 1439.04, "end": 1439.4, "word": " X", "probability": 0.59423828125}, {"start": 1439.4, "end": 1440.08, "word": " وهنا", "probability": 0.87353515625}, {"start": 1440.08, "end": 1440.24, "word": " ال", "probability": 0.9482421875}, {"start": 1440.24, "end": 1440.66, "word": " absolute", "probability": 0.9375}, {"start": 1440.66, "end": 1441.2, "word": " value", "probability": 0.98974609375}, {"start": 1441.2, "end": 1441.36, "word": " ل", "probability": 0.80517578125}, {"start": 1441.36, "end": 1441.58, "word": " U", "probability": 0.86376953125}, {"start": 1441.58, "end": 1442.24, "word": " أقل", "probability": 0.9059244791666666}, {"start": 1442.24, "end": 1442.46, "word": " من", "probability": 0.994140625}, {"start": 1442.46, "end": 1443.06, "word": " الواحد", "probability": 0.697998046875}], "temperature": 1.0}, {"id": 66, "seek": 147248, "start": 1443.28, "end": 1472.48, "text": "وهنا absolute value ل X أقل من ال main واحد وهو المطلوب التكتيك تبع ذلك الباقي بنفس الطريقة لكن لكن هذا هيجيبلي الشغلات ماكنتش اقدر اعملها قبل هيك زي ايش مثلا الان بالذات للتكاملات نمر واحد لو جيت قلت لجديش تكامل واحد على جذر التربية ل A تربية ناقص X تربية في D X", "tokens": [2407, 3224, 8315, 8236, 2158, 5296, 1783, 5551, 4587, 1211, 9154, 2423, 2135, 36764, 24401, 37037, 2407, 9673, 9566, 1211, 37746, 16712, 4117, 31371, 4117, 6055, 3555, 3615, 29910, 23275, 29739, 995, 38436, 44945, 36178, 41950, 16572, 28671, 44381, 44381, 23758, 39896, 7435, 1829, 3555, 20292, 25124, 17082, 1211, 9307, 19446, 19452, 2655, 8592, 1975, 28543, 2288, 1975, 25957, 1211, 11296, 12174, 36150, 39896, 4117, 30767, 1829, 1975, 1829, 8592, 50113, 15040, 2423, 7649, 20666, 8848, 9307, 24976, 2655, 4117, 10943, 1211, 9307, 8717, 29973, 36764, 24401, 45164, 10874, 36081, 12174, 1211, 2655, 5296, 7435, 16254, 8592, 6055, 4117, 10943, 1211, 36764, 24401, 15844, 10874, 8848, 2288, 16712, 25513, 10632, 5296, 316, 6055, 25513, 10632, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 8978, 413, 1783], "avg_logprob": -0.2738681003803343, "compression_ratio": 1.748062015503876, "no_speech_prob": 0.0, "words": [{"start": 1443.28, "end": 1443.74, "word": "وهنا", "probability": 0.56396484375}, {"start": 1443.74, "end": 1444.18, "word": " absolute", "probability": 0.354248046875}, {"start": 1444.18, "end": 1444.72, "word": " value", "probability": 0.98486328125}, {"start": 1444.72, "end": 1444.88, "word": " ل", "probability": 0.7548828125}, {"start": 1444.88, "end": 1445.14, "word": " X", "probability": 0.48046875}, {"start": 1445.14, "end": 1445.72, "word": " أقل", "probability": 0.9033203125}, {"start": 1445.72, "end": 1445.88, "word": " من", "probability": 0.98974609375}, {"start": 1445.88, "end": 1446.24, "word": " ال", "probability": 0.50390625}, {"start": 1446.24, "end": 1446.3, "word": " main", "probability": 0.35888671875}, {"start": 1446.3, "end": 1447.1, "word": " واحد", "probability": 0.78662109375}, {"start": 1447.1, "end": 1447.46, "word": " وهو", "probability": 0.765380859375}, {"start": 1447.46, "end": 1448.14, "word": " المطلوب", "probability": 0.9818115234375}, {"start": 1448.14, "end": 1449.2, "word": " التكتيك", "probability": 0.884765625}, {"start": 1449.2, "end": 1449.52, "word": " تبع", "probability": 0.6971028645833334}, {"start": 1449.52, "end": 1449.96, "word": " ذلك", "probability": 0.48345947265625}, {"start": 1449.96, "end": 1450.4, "word": " الباقي", "probability": 0.8287760416666666}, {"start": 1450.4, "end": 1450.84, "word": " بنفس", "probability": 0.96533203125}, {"start": 1450.84, "end": 1451.42, "word": " الطريقة", "probability": 0.9899088541666666}, {"start": 1451.42, "end": 1451.96, "word": " لكن", "probability": 0.77392578125}, {"start": 1451.96, "end": 1453.22, "word": " لكن", "probability": 0.249755859375}, {"start": 1453.22, "end": 1453.64, "word": " هذا", "probability": 0.9287109375}, {"start": 1453.64, "end": 1454.26, "word": " هيجيبلي", "probability": 0.82314453125}, {"start": 1454.26, "end": 1454.98, "word": " الشغلات", "probability": 0.926513671875}, {"start": 1454.98, "end": 1455.5, "word": " ماكنتش", "probability": 0.9300537109375}, {"start": 1455.5, "end": 1455.76, "word": " اقدر", "probability": 0.7403971354166666}, {"start": 1455.76, "end": 1456.14, "word": " اعملها", "probability": 0.9329833984375}, {"start": 1456.14, "end": 1456.44, "word": " قبل", "probability": 0.822509765625}, {"start": 1456.44, "end": 1456.7, "word": " هيك", "probability": 0.6195068359375}, {"start": 1456.7, "end": 1456.94, "word": " زي", "probability": 0.6881103515625}, {"start": 1456.94, "end": 1457.18, "word": " ايش", "probability": 0.8709309895833334}, {"start": 1457.18, "end": 1457.68, "word": " مثلا", "probability": 0.960205078125}, {"start": 1457.68, "end": 1458.92, "word": " الان", "probability": 0.58721923828125}, {"start": 1458.92, "end": 1459.34, "word": " بالذات", "probability": 0.6460774739583334}, {"start": 1459.34, "end": 1460.46, "word": " للتكاملات", "probability": 0.8485921223958334}, {"start": 1460.46, "end": 1460.82, "word": " نمر", "probability": 0.72265625}, {"start": 1460.82, "end": 1461.8, "word": " واحد", "probability": 0.847412109375}, {"start": 1461.8, "end": 1462.12, "word": " لو", "probability": 0.90673828125}, {"start": 1462.12, "end": 1462.44, "word": " جيت", "probability": 0.861572265625}, {"start": 1462.44, "end": 1462.74, "word": " قلت", "probability": 0.8154296875}, {"start": 1462.74, "end": 1463.46, "word": " لجديش", "probability": 0.650146484375}, {"start": 1463.46, "end": 1464.36, "word": " تكامل", "probability": 0.9791259765625}, {"start": 1464.36, "end": 1465.32, "word": " واحد", "probability": 0.992431640625}, {"start": 1465.32, "end": 1466.3, "word": " على", "probability": 0.83984375}, {"start": 1466.3, "end": 1467.42, "word": " جذر", "probability": 0.6963704427083334}, {"start": 1467.42, "end": 1468.08, "word": " التربية", "probability": 0.8984375}, {"start": 1468.08, "end": 1468.38, "word": " ل", "probability": 0.7744140625}, {"start": 1468.38, "end": 1468.66, "word": " A", "probability": 0.310791015625}, {"start": 1468.66, "end": 1469.38, "word": " تربية", "probability": 0.96142578125}, {"start": 1469.38, "end": 1470.4, "word": " ناقص", "probability": 0.94580078125}, {"start": 1470.4, "end": 1470.8, "word": " X", "probability": 0.94384765625}, {"start": 1470.8, "end": 1471.4, "word": " تربية", "probability": 0.9695638020833334}, {"start": 1471.4, "end": 1471.64, "word": " في", "probability": 0.9267578125}, {"start": 1471.64, "end": 1471.94, "word": " D", "probability": 0.468994140625}, {"start": 1471.94, "end": 1472.48, "word": " X", "probability": 0.728515625}], "temperature": 1.0}, {"id": 67, "seek": 150080, "start": 1473.52, "end": 1500.8, "text": "هذه شبه هذه اللهم إلا بدل التربيع جدميا لول واحد يعني كأن هذه حالة خاصة من مين؟ من هذه.بنقولها بسيطة، هذه بنقدر نقولك الجواب كالتالي يساوي sine inverse لل X على A زائد constant C", "tokens": [3224, 24192, 13412, 3555, 3224, 29538, 13672, 16095, 11933, 15040, 47525, 1211, 16712, 2288, 21292, 3615, 10874, 3215, 2304, 25528, 5296, 12610, 36764, 24401, 37495, 22653, 9122, 33456, 29538, 11331, 6027, 3660, 16490, 33546, 3660, 9154, 3714, 9957, 22807, 9154, 29538, 13, 3555, 1863, 39648, 11296, 4724, 3794, 1829, 9566, 3660, 12399, 29538, 44945, 28543, 2288, 8717, 39648, 4117, 25724, 14407, 3555, 9122, 6027, 2655, 6027, 1829, 7251, 3794, 995, 45865, 18609, 17340, 24976, 1783, 15844, 316, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.3597515088966094, "compression_ratio": 1.5101010101010102, "no_speech_prob": 0.0, "words": [{"start": 1473.52, "end": 1474.2, "word": "هذه", "probability": 0.58447265625}, {"start": 1474.2, "end": 1475.04, "word": " شبه", "probability": 0.6582438151041666}, {"start": 1475.04, "end": 1475.64, "word": " هذه", "probability": 0.4638671875}, {"start": 1475.64, "end": 1476.6, "word": " اللهم", "probability": 0.7110595703125}, {"start": 1476.6, "end": 1477.22, "word": " إلا", "probability": 0.72998046875}, {"start": 1477.22, "end": 1478.46, "word": " بدل", "probability": 0.93212890625}, {"start": 1478.46, "end": 1479.7, "word": " التربيع", "probability": 0.67626953125}, {"start": 1479.7, "end": 1480.5, "word": " جدميا", "probability": 0.6265869140625}, {"start": 1480.5, "end": 1481.06, "word": " لول", "probability": 0.47198486328125}, {"start": 1481.06, "end": 1481.82, "word": " واحد", "probability": 0.98828125}, {"start": 1481.82, "end": 1483.34, "word": " يعني", "probability": 0.602783203125}, {"start": 1483.34, "end": 1483.8, "word": " كأن", "probability": 0.83740234375}, {"start": 1483.8, "end": 1484.28, "word": " هذه", "probability": 0.78271484375}, {"start": 1484.28, "end": 1484.88, "word": " حالة", "probability": 0.9306640625}, {"start": 1484.88, "end": 1485.38, "word": " خاصة", "probability": 0.9615885416666666}, {"start": 1485.38, "end": 1485.58, "word": " من", "probability": 0.94921875}, {"start": 1485.58, "end": 1486.26, "word": " مين؟", "probability": 0.5599365234375}, {"start": 1486.26, "end": 1486.48, "word": " من", "probability": 0.9033203125}, {"start": 1486.48, "end": 1486.9, "word": " هذه", "probability": 0.88623046875}, {"start": 1486.9, "end": 1487.74, "word": ".بنقولها", "probability": 0.60523681640625}, {"start": 1487.74, "end": 1488.44, "word": " بسيطة،", "probability": 0.8363444010416666}, {"start": 1488.44, "end": 1488.7, "word": " هذه", "probability": 0.609375}, {"start": 1488.7, "end": 1489.78, "word": " بنقدر", "probability": 0.80810546875}, {"start": 1489.78, "end": 1491.0, "word": " نقولك", "probability": 0.7560221354166666}, {"start": 1491.0, "end": 1491.88, "word": " الجواب", "probability": 0.9095052083333334}, {"start": 1491.88, "end": 1492.8, "word": " كالتالي", "probability": 0.876953125}, {"start": 1492.8, "end": 1494.12, "word": " يساوي", "probability": 0.870361328125}, {"start": 1494.12, "end": 1495.12, "word": " sine", "probability": 0.1793212890625}, {"start": 1495.12, "end": 1496.26, "word": " inverse", "probability": 0.9111328125}, {"start": 1496.26, "end": 1496.98, "word": " لل", "probability": 0.763671875}, {"start": 1496.98, "end": 1497.5, "word": " X", "probability": 0.43115234375}, {"start": 1497.5, "end": 1497.96, "word": " على", "probability": 0.720703125}, {"start": 1497.96, "end": 1498.58, "word": " A", "probability": 0.625}, {"start": 1498.58, "end": 1499.66, "word": " زائد", "probability": 0.8404947916666666}, {"start": 1499.66, "end": 1500.24, "word": " constant", "probability": 0.81103515625}, {"start": 1500.24, "end": 1500.8, "word": " C", "probability": 0.92578125}], "temperature": 1.0}, {"id": 68, "seek": 151959, "start": 1501.65, "end": 1519.59, "text": "هذه ماكناش بنعرفها قبل هيك لا في كل كلص A ولا حتى اللي درسناه في كل كلص B طب النقطة الثانية لو عندك تكامل واحد على A تربيه زائد X تربيه عن X يعني شبه مهم ابهادي", "tokens": [3224, 24192, 19446, 19452, 33599, 44945, 3615, 28480, 11296, 12174, 36150, 39896, 4117, 20193, 8978, 28242, 28242, 9381, 316, 49429, 11331, 49975, 13672, 1829, 11778, 2288, 3794, 8315, 3224, 8978, 28242, 28242, 9381, 363, 23032, 3555, 28239, 47432, 3660, 6024, 104, 7649, 10632, 45164, 43242, 4117, 6055, 4117, 10943, 1211, 36764, 24401, 15844, 316, 6055, 2288, 21292, 3224, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3224, 18871, 1783, 37495, 22653, 13412, 3555, 3224, 3714, 16095, 48127, 11296, 16254], "avg_logprob": -0.2881724691089195, "compression_ratio": 1.650887573964497, "no_speech_prob": 0.0, "words": [{"start": 1501.65, "end": 1502.55, "word": "هذه", "probability": 0.4478759765625}, {"start": 1502.55, "end": 1503.01, "word": " ماكناش", "probability": 0.538330078125}, {"start": 1503.01, "end": 1503.61, "word": " بنعرفها", "probability": 0.8759765625}, {"start": 1503.61, "end": 1503.87, "word": " قبل", "probability": 0.767578125}, {"start": 1503.87, "end": 1504.63, "word": " هيك", "probability": 0.833740234375}, {"start": 1504.63, "end": 1504.85, "word": " لا", "probability": 0.290283203125}, {"start": 1504.85, "end": 1505.03, "word": " في", "probability": 0.9462890625}, {"start": 1505.03, "end": 1505.25, "word": " كل", "probability": 0.9833984375}, {"start": 1505.25, "end": 1505.63, "word": " كلص", "probability": 0.565673828125}, {"start": 1505.63, "end": 1505.83, "word": " A", "probability": 0.39453125}, {"start": 1505.83, "end": 1506.11, "word": " ولا", "probability": 0.8896484375}, {"start": 1506.11, "end": 1506.51, "word": " حتى", "probability": 0.86767578125}, {"start": 1506.51, "end": 1506.63, "word": " اللي", "probability": 0.87939453125}, {"start": 1506.63, "end": 1507.15, "word": " درسناه", "probability": 0.85791015625}, {"start": 1507.15, "end": 1507.25, "word": " في", "probability": 0.9482421875}, {"start": 1507.25, "end": 1507.47, "word": " كل", "probability": 0.98291015625}, {"start": 1507.47, "end": 1507.85, "word": " كلص", "probability": 0.967041015625}, {"start": 1507.85, "end": 1508.07, "word": " B", "probability": 0.943359375}, {"start": 1508.07, "end": 1508.73, "word": " طب", "probability": 0.6884765625}, {"start": 1508.73, "end": 1509.39, "word": " النقطة", "probability": 0.96630859375}, {"start": 1509.39, "end": 1510.01, "word": " الثانية", "probability": 0.96484375}, {"start": 1510.01, "end": 1510.57, "word": " لو", "probability": 0.74658203125}, {"start": 1510.57, "end": 1511.07, "word": " عندك", "probability": 0.9697265625}, {"start": 1511.07, "end": 1511.79, "word": " تكامل", "probability": 0.97705078125}, {"start": 1511.79, "end": 1512.41, "word": " واحد", "probability": 0.90869140625}, {"start": 1512.41, "end": 1512.75, "word": " على", "probability": 0.84765625}, {"start": 1512.75, "end": 1513.11, "word": " A", "probability": 0.51953125}, {"start": 1513.11, "end": 1513.81, "word": " تربيه", "probability": 0.71441650390625}, {"start": 1513.81, "end": 1514.77, "word": " زائد", "probability": 0.8098958333333334}, {"start": 1514.77, "end": 1515.11, "word": " X", "probability": 0.9248046875}, {"start": 1515.11, "end": 1515.97, "word": " تربيه", "probability": 0.932861328125}, {"start": 1515.97, "end": 1516.21, "word": " عن", "probability": 0.0899658203125}, {"start": 1516.21, "end": 1516.67, "word": " X", "probability": 0.943359375}, {"start": 1516.67, "end": 1517.33, "word": " يعني", "probability": 0.90380859375}, {"start": 1517.33, "end": 1517.75, "word": " شبه", "probability": 0.8097330729166666}, {"start": 1517.75, "end": 1518.49, "word": " مهم", "probability": 0.44573974609375}, {"start": 1518.49, "end": 1519.59, "word": " ابهادي", "probability": 0.5629069010416666}], "temperature": 1.0}, {"id": 69, "seek": 154964, "start": 1519.76, "end": 1549.64, "text": "جديش النتيجة يبقى النتيجة واحد على ايه في مين في تان inverse x على a زائد كنستان c طب والتالتة والاخيرة التالتة والاخيرة يتكامل لواحد على x الجدر التربيعي ل x تربيع ناقص a تربيع dx يسوى واحد على a", "tokens": [7435, 16254, 8592, 28239, 31371, 7435, 3660, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 36764, 24401, 15844, 1975, 1829, 3224, 8978, 3714, 9957, 8978, 6055, 7649, 17340, 2031, 15844, 257, 30767, 16373, 3215, 9122, 1863, 14851, 7649, 269, 23032, 3555, 16070, 2655, 6027, 2655, 3660, 16070, 47283, 48923, 16712, 6027, 2655, 3660, 16070, 47283, 48923, 7251, 2655, 4117, 10943, 1211, 5296, 14407, 24401, 15844, 2031, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 1829, 5296, 2031, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 257, 6055, 2288, 21292, 3615, 30017, 7251, 3794, 2407, 7578, 36764, 24401, 15844, 257], "avg_logprob": -0.26120579784566705, "compression_ratio": 1.9147727272727273, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1519.76, "end": 1520.5, "word": "جديش", "probability": 0.4821370442708333}, {"start": 1520.5, "end": 1521.26, "word": " النتيجة", "probability": 0.963134765625}, {"start": 1521.26, "end": 1522.06, "word": " يبقى", "probability": 0.8978271484375}, {"start": 1522.06, "end": 1522.98, "word": " النتيجة", "probability": 0.9083251953125}, {"start": 1522.98, "end": 1524.04, "word": " واحد", "probability": 0.6695556640625}, {"start": 1524.04, "end": 1524.56, "word": " على", "probability": 0.703125}, {"start": 1524.56, "end": 1525.24, "word": " ايه", "probability": 0.6160481770833334}, {"start": 1525.24, "end": 1525.68, "word": " في", "probability": 0.7236328125}, {"start": 1525.68, "end": 1526.1, "word": " مين", "probability": 0.61279296875}, {"start": 1526.1, "end": 1526.56, "word": " في", "probability": 0.51708984375}, {"start": 1526.56, "end": 1527.32, "word": " تان", "probability": 0.9140625}, {"start": 1527.32, "end": 1528.28, "word": " inverse", "probability": 0.64501953125}, {"start": 1528.28, "end": 1529.1, "word": " x", "probability": 0.482177734375}, {"start": 1529.1, "end": 1529.52, "word": " على", "probability": 0.68359375}, {"start": 1529.52, "end": 1530.02, "word": " a", "probability": 0.86572265625}, {"start": 1530.02, "end": 1531.14, "word": " زائد", "probability": 0.876953125}, {"start": 1531.14, "end": 1532.08, "word": " كنستان", "probability": 0.5377197265625}, {"start": 1532.08, "end": 1532.46, "word": " c", "probability": 0.634765625}, {"start": 1532.46, "end": 1533.42, "word": " طب", "probability": 0.541015625}, {"start": 1533.42, "end": 1534.12, "word": " والتالتة", "probability": 0.840185546875}, {"start": 1534.12, "end": 1535.16, "word": " والاخيرة", "probability": 0.8849283854166666}, {"start": 1535.16, "end": 1536.6, "word": " التالتة", "probability": 0.8514404296875}, {"start": 1536.6, "end": 1537.64, "word": " والاخيرة", "probability": 0.9752604166666666}, {"start": 1537.64, "end": 1539.26, "word": " يتكامل", "probability": 0.981640625}, {"start": 1539.26, "end": 1540.54, "word": " لواحد", "probability": 0.8575846354166666}, {"start": 1540.54, "end": 1541.36, "word": " على", "probability": 0.88916015625}, {"start": 1541.36, "end": 1541.86, "word": " x", "probability": 0.83447265625}, {"start": 1541.86, "end": 1542.76, "word": " الجدر", "probability": 0.79345703125}, {"start": 1542.76, "end": 1543.7, "word": " التربيعي", "probability": 0.72998046875}, {"start": 1543.7, "end": 1544.22, "word": " ل", "probability": 0.91650390625}, {"start": 1544.22, "end": 1544.5, "word": " x", "probability": 0.6103515625}, {"start": 1544.5, "end": 1545.06, "word": " تربيع", "probability": 0.808837890625}, {"start": 1545.06, "end": 1545.72, "word": " ناقص", "probability": 0.937255859375}, {"start": 1545.72, "end": 1545.94, "word": " a", "probability": 0.8974609375}, {"start": 1545.94, "end": 1546.54, "word": " تربيع", "probability": 0.8896484375}, {"start": 1546.54, "end": 1547.12, "word": " dx", "probability": 0.89306640625}, {"start": 1547.12, "end": 1548.22, "word": " يسوى", "probability": 0.8843994140625}, {"start": 1548.22, "end": 1548.78, "word": " واحد", "probability": 0.9677734375}, {"start": 1548.78, "end": 1549.14, "word": " على", "probability": 0.9169921875}, {"start": 1549.14, "end": 1549.64, "word": " a", "probability": 0.873046875}], "temperature": 1.0}, {"id": 70, "seek": 157209, "start": 1549.75, "end": 1572.09, "text": "فى sec inverse absolute value of x على a زائد constant c شوف ازدي ماديتش عفوية كمان الشغلة لما هي واحدة اتنين و تلاتة لاحظ اتنين و تلاتة في جابلها واحد على a لكن في حالة ال sign ماعنديش واحد على a", "tokens": [5172, 7578, 907, 17340, 8236, 2158, 295, 2031, 15844, 257, 30767, 16373, 3215, 5754, 269, 13412, 38688, 1975, 11622, 16254, 19446, 16254, 2655, 8592, 6225, 5172, 2407, 10632, 9122, 2304, 7649, 25124, 17082, 37977, 5296, 15042, 39896, 36764, 24401, 3660, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 3660, 20193, 5016, 19913, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 3660, 8978, 10874, 16758, 1211, 11296, 36764, 24401, 15844, 257, 44381, 8978, 11331, 6027, 3660, 2423, 1465, 19446, 3615, 1863, 16254, 8592, 36764, 24401, 15844, 257], "avg_logprob": -0.3074712636827052, "compression_ratio": 1.6436170212765957, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1549.75, "end": 1550.31, "word": "فى", "probability": 0.315673828125}, {"start": 1550.31, "end": 1550.67, "word": " sec", "probability": 0.07733154296875}, {"start": 1550.67, "end": 1551.43, "word": " inverse", "probability": 0.74951171875}, {"start": 1551.43, "end": 1552.43, "word": " absolute", "probability": 0.85400390625}, {"start": 1552.43, "end": 1552.95, "word": " value", "probability": 0.9638671875}, {"start": 1552.95, "end": 1553.17, "word": " of", "probability": 0.50341796875}, {"start": 1553.17, "end": 1553.39, "word": " x", "probability": 0.65576171875}, {"start": 1553.39, "end": 1553.73, "word": " على", "probability": 0.73876953125}, {"start": 1553.73, "end": 1554.07, "word": " a", "probability": 0.91796875}, {"start": 1554.07, "end": 1555.31, "word": " زائد", "probability": 0.7093912760416666}, {"start": 1555.31, "end": 1555.93, "word": " constant", "probability": 0.6435546875}, {"start": 1555.93, "end": 1556.69, "word": " c", "probability": 0.473876953125}, {"start": 1556.69, "end": 1558.35, "word": " شوف", "probability": 0.778076171875}, {"start": 1558.35, "end": 1558.73, "word": " ازدي", "probability": 0.538330078125}, {"start": 1558.73, "end": 1559.83, "word": " ماديتش", "probability": 0.62969970703125}, {"start": 1559.83, "end": 1560.31, "word": " عفوية", "probability": 0.8372802734375}, {"start": 1560.31, "end": 1560.73, "word": " كمان", "probability": 0.875}, {"start": 1560.73, "end": 1561.41, "word": " الشغلة", "probability": 0.82275390625}, {"start": 1561.41, "end": 1562.35, "word": " لما", "probability": 0.798828125}, {"start": 1562.35, "end": 1562.49, "word": " هي", "probability": 0.4169921875}, {"start": 1562.49, "end": 1562.99, "word": " واحدة", "probability": 0.9762369791666666}, {"start": 1562.99, "end": 1563.51, "word": " اتنين", "probability": 0.7312164306640625}, {"start": 1563.51, "end": 1563.99, "word": " و", "probability": 0.431640625}, {"start": 1563.99, "end": 1564.47, "word": " تلاتة", "probability": 0.83782958984375}, {"start": 1564.47, "end": 1565.45, "word": " لاحظ", "probability": 0.8819986979166666}, {"start": 1565.45, "end": 1566.07, "word": " اتنين", "probability": 0.970947265625}, {"start": 1566.07, "end": 1566.25, "word": " و", "probability": 0.80126953125}, {"start": 1566.25, "end": 1566.81, "word": " تلاتة", "probability": 0.97802734375}, {"start": 1566.81, "end": 1566.99, "word": " في", "probability": 0.90234375}, {"start": 1566.99, "end": 1567.51, "word": " جابلها", "probability": 0.841796875}, {"start": 1567.51, "end": 1567.97, "word": " واحد", "probability": 0.983154296875}, {"start": 1567.97, "end": 1568.23, "word": " على", "probability": 0.8525390625}, {"start": 1568.23, "end": 1568.59, "word": " a", "probability": 0.58154296875}, {"start": 1568.59, "end": 1569.35, "word": " لكن", "probability": 0.89404296875}, {"start": 1569.35, "end": 1569.61, "word": " في", "probability": 0.57421875}, {"start": 1569.61, "end": 1570.17, "word": " حالة", "probability": 0.9905598958333334}, {"start": 1570.17, "end": 1570.33, "word": " ال", "probability": 0.8037109375}, {"start": 1570.33, "end": 1570.61, "word": " sign", "probability": 0.7001953125}, {"start": 1570.61, "end": 1571.25, "word": " ماعنديش", "probability": 0.9501953125}, {"start": 1571.25, "end": 1571.65, "word": " واحد", "probability": 0.984130859375}, {"start": 1571.65, "end": 1571.85, "word": " على", "probability": 0.8369140625}, {"start": 1571.85, "end": 1572.09, "word": " a", "probability": 0.86474609375}], "temperature": 1.0}, {"id": 71, "seek": 159418, "start": 1572.88, "end": 1594.18, "text": "ليش؟ هذا الكلام اللي بدنا نقوله مشان نثبت صحتي التلاتة التلاتة لهم نفس التعويضة كويس ايش التعويضة اللي بدنا نحطها؟ بدنا نيجي مشان البرهم بدك تقوللي pot x بده يساوي aT يبقى dx يساوي a في مين؟", "tokens": [20292, 8592, 22807, 23758, 2423, 28820, 10943, 13672, 1829, 47525, 8315, 8717, 39648, 3224, 37893, 7649, 8717, 12984, 3555, 2655, 20328, 5016, 31371, 16712, 1211, 9307, 3660, 16712, 1211, 9307, 3660, 5296, 16095, 8717, 36178, 16712, 3615, 45865, 11242, 3660, 9122, 45865, 3794, 1975, 1829, 8592, 16712, 3615, 45865, 11242, 3660, 13672, 1829, 47525, 8315, 8717, 5016, 9566, 11296, 22807, 47525, 8315, 8717, 1829, 7435, 1829, 37893, 7649, 2423, 26890, 16095, 47525, 4117, 6055, 39648, 20292, 1847, 2031, 47525, 3224, 7251, 3794, 995, 45865, 257, 51, 7251, 3555, 4587, 7578, 30017, 7251, 3794, 995, 45865, 257, 8978, 3714, 9957, 22807], "avg_logprob": -0.22880569247916194, "compression_ratio": 1.8926553672316384, "no_speech_prob": 0.0, "words": [{"start": 1572.88, "end": 1573.9, "word": "ليش؟", "probability": 0.3813680013020833}, {"start": 1573.9, "end": 1574.12, "word": " هذا", "probability": 0.67333984375}, {"start": 1574.12, "end": 1574.8, "word": " الكلام", "probability": 0.8673502604166666}, {"start": 1574.8, "end": 1575.14, "word": " اللي", "probability": 0.814453125}, {"start": 1575.14, "end": 1575.42, "word": " بدنا", "probability": 0.6717529296875}, {"start": 1575.42, "end": 1575.86, "word": " نقوله", "probability": 0.9832356770833334}, {"start": 1575.86, "end": 1576.48, "word": " مشان", "probability": 0.54193115234375}, {"start": 1576.48, "end": 1576.92, "word": " نثبت", "probability": 0.9613037109375}, {"start": 1576.92, "end": 1577.66, "word": " صحتي", "probability": 0.92138671875}, {"start": 1577.66, "end": 1578.36, "word": " التلاتة", "probability": 0.910888671875}, {"start": 1578.36, "end": 1578.94, "word": " التلاتة", "probability": 0.9688720703125}, {"start": 1578.94, "end": 1579.24, "word": " لهم", "probability": 0.56298828125}, {"start": 1579.24, "end": 1579.7, "word": " نفس", "probability": 0.98095703125}, {"start": 1579.7, "end": 1580.72, "word": " التعويضة", "probability": 0.92490234375}, {"start": 1580.72, "end": 1581.72, "word": " كويس", "probability": 0.7937825520833334}, {"start": 1581.72, "end": 1581.96, "word": " ايش", "probability": 0.7021484375}, {"start": 1581.96, "end": 1582.48, "word": " التعويضة", "probability": 0.96591796875}, {"start": 1582.48, "end": 1582.56, "word": " اللي", "probability": 0.97119140625}, {"start": 1582.56, "end": 1582.64, "word": " بدنا", "probability": 0.769287109375}, {"start": 1582.64, "end": 1583.74, "word": " نحطها؟", "probability": 0.862548828125}, {"start": 1583.74, "end": 1584.06, "word": " بدنا", "probability": 0.781494140625}, {"start": 1584.06, "end": 1584.26, "word": " نيجي", "probability": 0.90087890625}, {"start": 1584.26, "end": 1584.74, "word": " مشان", "probability": 0.92236328125}, {"start": 1584.74, "end": 1585.32, "word": " البرهم", "probability": 0.74169921875}, {"start": 1585.32, "end": 1585.72, "word": " بدك", "probability": 0.8466796875}, {"start": 1585.72, "end": 1586.52, "word": " تقوللي", "probability": 0.859375}, {"start": 1586.52, "end": 1587.24, "word": " pot", "probability": 0.399658203125}, {"start": 1587.24, "end": 1588.22, "word": " x", "probability": 0.79150390625}, {"start": 1588.22, "end": 1588.72, "word": " بده", "probability": 0.6483154296875}, {"start": 1588.72, "end": 1589.42, "word": " يساوي", "probability": 0.9290771484375}, {"start": 1589.42, "end": 1590.36, "word": " aT", "probability": 0.3541259765625}, {"start": 1590.36, "end": 1591.42, "word": " يبقى", "probability": 0.942138671875}, {"start": 1591.42, "end": 1591.86, "word": " dx", "probability": 0.83203125}, {"start": 1591.86, "end": 1592.9, "word": " يساوي", "probability": 0.9676513671875}, {"start": 1592.9, "end": 1593.3, "word": " a", "probability": 0.931640625}, {"start": 1593.3, "end": 1593.44, "word": " في", "probability": 0.939453125}, {"start": 1593.44, "end": 1594.18, "word": " مين؟", "probability": 0.8544921875}], "temperature": 1.0}, {"id": 72, "seek": 162248, "start": 1594.48, "end": 1622.48, "text": "فى DET يبقى لو كنت برهن أي واحدة منهم و التكن النقطة الأولى للـA تبعتها بعض هقولك الأن بيقولك إنها بعض فعلا و هقولك و هقولك الـA تبعتهم موجودة كيف؟ فبعدين بقول احنا بدنا تكامل واحد على الجدر التربية إلى A تربية ناقص X تربية DX يساوي التكامل الـDX مقدرش", "tokens": [5172, 7578, 413, 4850, 7251, 3555, 4587, 7578, 45164, 9122, 29399, 4724, 2288, 3224, 1863, 36632, 36764, 24401, 3660, 9154, 16095, 4032, 16712, 19452, 28239, 47432, 3660, 16247, 12610, 7578, 24976, 39184, 32, 6055, 3555, 34268, 11296, 45030, 11242, 8032, 39648, 4117, 16247, 1863, 4724, 1829, 39648, 4117, 36145, 11296, 45030, 11242, 6156, 3615, 15040, 4032, 8032, 39648, 4117, 4032, 8032, 39648, 4117, 2423, 39184, 32, 6055, 3555, 34268, 16095, 3714, 29245, 23328, 3660, 9122, 33911, 22807, 6156, 3555, 22488, 9957, 4724, 39648, 1975, 5016, 8315, 47525, 8315, 6055, 4117, 10943, 1211, 36764, 24401, 15844, 25724, 3215, 2288, 16712, 25513, 10632, 30731, 316, 6055, 25513, 10632, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 48817, 7251, 3794, 995, 45865, 16712, 4117, 10943, 1211, 2423, 39184, 35, 55, 3714, 28543, 2288, 8592], "avg_logprob": -0.2594696953892708, "compression_ratio": 1.9388646288209608, "no_speech_prob": 0.0, "words": [{"start": 1594.48, "end": 1594.84, "word": "فى", "probability": 0.493316650390625}, {"start": 1594.84, "end": 1595.56, "word": " DET", "probability": 0.58837890625}, {"start": 1595.56, "end": 1596.46, "word": " يبقى", "probability": 0.8211669921875}, {"start": 1596.46, "end": 1596.64, "word": " لو", "probability": 0.94580078125}, {"start": 1596.64, "end": 1596.88, "word": " كنت", "probability": 0.78759765625}, {"start": 1596.88, "end": 1597.62, "word": " برهن", "probability": 0.8267822265625}, {"start": 1597.62, "end": 1598.02, "word": " أي", "probability": 0.411376953125}, {"start": 1598.02, "end": 1598.7, "word": " واحدة", "probability": 0.9820963541666666}, {"start": 1598.7, "end": 1599.16, "word": " منهم", "probability": 0.988525390625}, {"start": 1599.16, "end": 1599.72, "word": " و", "probability": 0.4833984375}, {"start": 1599.72, "end": 1600.28, "word": " التكن", "probability": 0.609375}, {"start": 1600.28, "end": 1600.92, "word": " النقطة", "probability": 0.95068359375}, {"start": 1600.92, "end": 1601.34, "word": " الأولى", "probability": 0.9383138020833334}, {"start": 1601.34, "end": 1601.8, "word": " للـA", "probability": 0.6141764322916666}, {"start": 1601.8, "end": 1602.44, "word": " تبعتها", "probability": 0.894287109375}, {"start": 1602.44, "end": 1602.88, "word": " بعض", "probability": 0.971435546875}, {"start": 1602.88, "end": 1603.94, "word": " هقولك", "probability": 0.5767822265625}, {"start": 1603.94, "end": 1604.22, "word": " الأن", "probability": 0.688720703125}, {"start": 1604.22, "end": 1604.64, "word": " بيقولك", "probability": 0.58660888671875}, {"start": 1604.64, "end": 1604.82, "word": " إنها", "probability": 0.421630859375}, {"start": 1604.82, "end": 1605.12, "word": " بعض", "probability": 0.8056640625}, {"start": 1605.12, "end": 1605.54, "word": " فعلا", "probability": 0.9444986979166666}, {"start": 1605.54, "end": 1606.02, "word": " و", "probability": 0.78076171875}, {"start": 1606.02, "end": 1606.46, "word": " هقولك", "probability": 0.88134765625}, {"start": 1606.46, "end": 1606.54, "word": " و", "probability": 0.409423828125}, {"start": 1606.54, "end": 1607.12, "word": " هقولك", "probability": 0.81982421875}, {"start": 1607.12, "end": 1607.62, "word": " الـA", "probability": 0.86181640625}, {"start": 1607.62, "end": 1608.28, "word": " تبعتهم", "probability": 0.936279296875}, {"start": 1608.28, "end": 1609.22, "word": " موجودة", "probability": 0.98583984375}, {"start": 1609.22, "end": 1610.48, "word": " كيف؟", "probability": 0.5218912760416666}, {"start": 1610.48, "end": 1611.02, "word": " فبعدين", "probability": 0.8792724609375}, {"start": 1611.02, "end": 1611.46, "word": " بقول", "probability": 0.85888671875}, {"start": 1611.46, "end": 1611.98, "word": " احنا", "probability": 0.857421875}, {"start": 1611.98, "end": 1612.56, "word": " بدنا", "probability": 0.973876953125}, {"start": 1612.56, "end": 1613.54, "word": " تكامل", "probability": 0.986083984375}, {"start": 1613.54, "end": 1614.18, "word": " واحد", "probability": 0.9853515625}, {"start": 1614.18, "end": 1614.46, "word": " على", "probability": 0.908203125}, {"start": 1614.46, "end": 1614.96, "word": " الجدر", "probability": 0.9334309895833334}, {"start": 1614.96, "end": 1615.56, "word": " التربية", "probability": 0.7496744791666666}, {"start": 1615.56, "end": 1615.86, "word": " إلى", "probability": 0.7626953125}, {"start": 1615.86, "end": 1616.14, "word": " A", "probability": 0.7373046875}, {"start": 1616.14, "end": 1616.68, "word": " تربية", "probability": 0.9558919270833334}, {"start": 1616.68, "end": 1617.32, "word": " ناقص", "probability": 0.841796875}, {"start": 1617.32, "end": 1617.64, "word": " X", "probability": 0.943359375}, {"start": 1617.64, "end": 1618.22, "word": " تربية", "probability": 0.9765625}, {"start": 1618.22, "end": 1619.12, "word": " DX", "probability": 0.66015625}, {"start": 1619.12, "end": 1619.88, "word": " يساوي", "probability": 0.9024658203125}, {"start": 1619.88, "end": 1620.64, "word": " التكامل", "probability": 0.9703369140625}, {"start": 1620.64, "end": 1621.6, "word": " الـDX", "probability": 0.8046875}, {"start": 1621.6, "end": 1622.48, "word": " مقدرش", "probability": 0.445343017578125}], "temperature": 1.0}, {"id": 73, "seek": 163370, "start": 1622.76, "end": 1633.7, "text": "ب A D T يبقى ال A D T طبعا يا شباب كل اللي عندنا هذا ال A و ال A و ال A كله ال A greater than zero", "tokens": [3555, 316, 413, 314, 7251, 3555, 4587, 7578, 2423, 316, 413, 314, 23032, 3555, 3615, 995, 35186, 13412, 3555, 16758, 28242, 13672, 1829, 43242, 8315, 23758, 2423, 316, 4032, 2423, 316, 4032, 2423, 316, 28242, 3224, 2423, 316, 5044, 813, 4018], "avg_logprob": -0.2490699284133457, "compression_ratio": 1.3148148148148149, "no_speech_prob": 0.0, "words": [{"start": 1622.76, "end": 1623.08, "word": "ب", "probability": 0.7138671875}, {"start": 1623.08, "end": 1623.72, "word": " A", "probability": 0.1138916015625}, {"start": 1623.72, "end": 1624.18, "word": " D", "probability": 0.82470703125}, {"start": 1624.18, "end": 1624.92, "word": " T", "probability": 0.89599609375}, {"start": 1624.92, "end": 1625.96, "word": " يبقى", "probability": 0.8319091796875}, {"start": 1625.96, "end": 1626.08, "word": " ال", "probability": 0.7275390625}, {"start": 1626.08, "end": 1626.5, "word": " A", "probability": 0.64111328125}, {"start": 1626.5, "end": 1626.68, "word": " D", "probability": 0.75634765625}, {"start": 1626.68, "end": 1626.96, "word": " T", "probability": 0.9482421875}, {"start": 1626.96, "end": 1627.64, "word": " طبعا", "probability": 0.8895263671875}, {"start": 1627.64, "end": 1627.76, "word": " يا", "probability": 0.87109375}, {"start": 1627.76, "end": 1628.18, "word": " شباب", "probability": 0.9920247395833334}, {"start": 1628.18, "end": 1628.64, "word": " كل", "probability": 0.93115234375}, {"start": 1628.64, "end": 1628.94, "word": " اللي", "probability": 0.947021484375}, {"start": 1628.94, "end": 1629.44, "word": " عندنا", "probability": 0.858154296875}, {"start": 1629.44, "end": 1629.82, "word": " هذا", "probability": 0.39990234375}, {"start": 1629.82, "end": 1630.14, "word": " ال", "probability": 0.92626953125}, {"start": 1630.14, "end": 1630.48, "word": " A", "probability": 0.9326171875}, {"start": 1630.48, "end": 1630.72, "word": " و", "probability": 0.7197265625}, {"start": 1630.72, "end": 1630.84, "word": " ال", "probability": 0.53369140625}, {"start": 1630.84, "end": 1631.12, "word": " A", "probability": 0.986328125}, {"start": 1631.12, "end": 1631.28, "word": " و", "probability": 0.96875}, {"start": 1631.28, "end": 1631.4, "word": " ال", "probability": 0.95556640625}, {"start": 1631.4, "end": 1631.6, "word": " A", "probability": 0.9931640625}, {"start": 1631.6, "end": 1632.06, "word": " كله", "probability": 0.902587890625}, {"start": 1632.06, "end": 1632.18, "word": " ال", "probability": 0.55419921875}, {"start": 1632.18, "end": 1632.4, "word": " A", "probability": 0.9638671875}, {"start": 1632.4, "end": 1632.76, "word": " greater", "probability": 0.53173828125}, {"start": 1632.76, "end": 1633.24, "word": " than", "probability": 0.91552734375}, {"start": 1633.24, "end": 1633.7, "word": " zero", "probability": 0.484375}], "temperature": 1.0}, {"id": 74, "seek": 165881, "start": 1634.19, "end": 1658.81, "text": "يبقى تحكمي أن الـA أكبر من الـ0 دائما و أبدا يبقى باجي بقول على الجذر التربية اللي يمين للـA تربية ناقص X تربية تعني A تربية T تربية يبقى A تربية T تربية بالشكل اللي عندنا هنا يبقى هذا الكلام بيساوي تكامل A D T على", "tokens": [1829, 3555, 4587, 7578, 6055, 5016, 24793, 1829, 14739, 2423, 39184, 32, 5551, 4117, 26890, 9154, 2423, 39184, 15, 11778, 16373, 15042, 4032, 5551, 3555, 28259, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 15844, 25724, 8848, 2288, 16712, 25513, 10632, 13672, 1829, 7251, 2304, 9957, 24976, 39184, 32, 6055, 25513, 10632, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 37279, 22653, 316, 6055, 25513, 10632, 314, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 316, 6055, 25513, 10632, 314, 6055, 25513, 10632, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 34105, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 4724, 1829, 3794, 995, 45865, 6055, 4117, 10943, 1211, 316, 413, 314, 15844], "avg_logprob": -0.27281526970652353, "compression_ratio": 1.9682539682539681, "no_speech_prob": 0.0, "words": [{"start": 1634.19, "end": 1634.83, "word": "يبقى", "probability": 0.62652587890625}, {"start": 1634.83, "end": 1635.49, "word": " تحكمي", "probability": 0.39508056640625}, {"start": 1635.49, "end": 1635.65, "word": " أن", "probability": 0.256591796875}, {"start": 1635.65, "end": 1636.11, "word": " الـA", "probability": 0.4059244791666667}, {"start": 1636.11, "end": 1636.73, "word": " أكبر", "probability": 0.9314778645833334}, {"start": 1636.73, "end": 1636.93, "word": " من", "probability": 0.98583984375}, {"start": 1636.93, "end": 1637.25, "word": " الـ0", "probability": 0.7639973958333334}, {"start": 1637.25, "end": 1637.67, "word": " دائما", "probability": 0.8924153645833334}, {"start": 1637.67, "end": 1637.85, "word": " و", "probability": 0.68701171875}, {"start": 1637.85, "end": 1638.29, "word": " أبدا", "probability": 0.81591796875}, {"start": 1638.29, "end": 1639.37, "word": " يبقى", "probability": 0.8896484375}, {"start": 1639.37, "end": 1639.71, "word": " باجي", "probability": 0.6061197916666666}, {"start": 1639.71, "end": 1640.19, "word": " بقول", "probability": 0.841796875}, {"start": 1640.19, "end": 1640.65, "word": " على", "probability": 0.80224609375}, {"start": 1640.65, "end": 1641.35, "word": " الجذر", "probability": 0.7447916666666666}, {"start": 1641.35, "end": 1642.21, "word": " التربية", "probability": 0.82763671875}, {"start": 1642.21, "end": 1642.47, "word": " اللي", "probability": 0.6142578125}, {"start": 1642.47, "end": 1642.95, "word": " يمين", "probability": 0.6039225260416666}, {"start": 1642.95, "end": 1643.73, "word": " للـA", "probability": 0.6544596354166666}, {"start": 1643.73, "end": 1644.35, "word": " تربية", "probability": 0.9231770833333334}, {"start": 1644.35, "end": 1644.95, "word": " ناقص", "probability": 0.9288330078125}, {"start": 1644.95, "end": 1645.71, "word": " X", "probability": 0.76318359375}, {"start": 1645.71, "end": 1646.43, "word": " تربية", "probability": 0.9646809895833334}, {"start": 1646.43, "end": 1646.91, "word": " تعني", "probability": 0.6839599609375}, {"start": 1646.91, "end": 1647.35, "word": " A", "probability": 0.9296875}, {"start": 1647.35, "end": 1648.09, "word": " تربية", "probability": 0.9842122395833334}, {"start": 1648.09, "end": 1648.43, "word": " T", "probability": 0.59033203125}, {"start": 1648.43, "end": 1649.09, "word": " تربية", "probability": 0.9803059895833334}, {"start": 1649.09, "end": 1650.29, "word": " يبقى", "probability": 0.9703369140625}, {"start": 1650.29, "end": 1650.55, "word": " A", "probability": 0.91552734375}, {"start": 1650.55, "end": 1651.43, "word": " تربية", "probability": 0.986328125}, {"start": 1651.43, "end": 1651.93, "word": " T", "probability": 0.87890625}, {"start": 1651.93, "end": 1652.63, "word": " تربية", "probability": 0.9855143229166666}, {"start": 1652.63, "end": 1653.17, "word": " بالشكل", "probability": 0.9690755208333334}, {"start": 1653.17, "end": 1653.35, "word": " اللي", "probability": 0.9765625}, {"start": 1653.35, "end": 1653.73, "word": " عندنا", "probability": 0.801025390625}, {"start": 1653.73, "end": 1653.99, "word": " هنا", "probability": 0.84521484375}, {"start": 1653.99, "end": 1654.79, "word": " يبقى", "probability": 0.97509765625}, {"start": 1654.79, "end": 1655.05, "word": " هذا", "probability": 0.91650390625}, {"start": 1655.05, "end": 1655.53, "word": " الكلام", "probability": 0.96044921875}, {"start": 1655.53, "end": 1656.19, "word": " بيساوي", "probability": 0.606884765625}, {"start": 1656.19, "end": 1657.09, "word": " تكامل", "probability": 0.9476318359375}, {"start": 1657.09, "end": 1657.57, "word": " A", "probability": 0.63720703125}, {"start": 1657.57, "end": 1658.05, "word": " D", "probability": 0.666015625}, {"start": 1658.05, "end": 1658.51, "word": " T", "probability": 0.81494140625}, {"start": 1658.51, "end": 1658.81, "word": " على", "probability": 0.463623046875}], "temperature": 1.0}, {"id": 75, "seek": 167937, "start": 1659.57, "end": 1679.37, "text": "إيه تربيع مع إيه تربيع تطلع برا؟ بـA يبقى هذا الـA وهذا الجدر التربيع لواحد ناقص T تربيع الـA والـM على السلامة يبقى تكامل DT على الجدر التربيع لواحد ناقص T تربيع", "tokens": [28814, 1829, 3224, 6055, 2288, 21292, 3615, 20449, 11933, 1829, 3224, 6055, 2288, 21292, 3615, 6055, 9566, 1211, 3615, 4724, 23557, 22807, 4724, 39184, 32, 7251, 3555, 4587, 7578, 23758, 2423, 39184, 32, 37037, 15730, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 5296, 14407, 24401, 8717, 995, 4587, 9381, 314, 6055, 2288, 21292, 3615, 2423, 39184, 32, 16070, 39184, 44, 15844, 21136, 37440, 3660, 7251, 3555, 4587, 7578, 6055, 4117, 10943, 1211, 413, 51, 15844, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 5296, 14407, 24401, 8717, 995, 4587, 9381, 314, 6055, 2288, 21292, 3615], "avg_logprob": -0.19325657894736842, "compression_ratio": 2.0955882352941178, "no_speech_prob": 0.0, "words": [{"start": 1659.57, "end": 1660.05, "word": "إيه", "probability": 0.6230367024739584}, {"start": 1660.05, "end": 1660.63, "word": " تربيع", "probability": 0.703369140625}, {"start": 1660.63, "end": 1660.83, "word": " مع", "probability": 0.9404296875}, {"start": 1660.83, "end": 1661.17, "word": " إيه", "probability": 0.87158203125}, {"start": 1661.17, "end": 1661.59, "word": " تربيع", "probability": 0.9361572265625}, {"start": 1661.59, "end": 1661.97, "word": " تطلع", "probability": 0.9615478515625}, {"start": 1661.97, "end": 1662.95, "word": " برا؟", "probability": 0.81005859375}, {"start": 1662.95, "end": 1663.77, "word": " بـA", "probability": 0.3343098958333333}, {"start": 1663.77, "end": 1664.53, "word": " يبقى", "probability": 0.9034423828125}, {"start": 1664.53, "end": 1664.91, "word": " هذا", "probability": 0.8857421875}, {"start": 1664.91, "end": 1665.51, "word": " الـA", "probability": 0.8834635416666666}, {"start": 1665.51, "end": 1666.33, "word": " وهذا", "probability": 0.76953125}, {"start": 1666.33, "end": 1666.79, "word": " الجدر", "probability": 0.81396484375}, {"start": 1666.79, "end": 1667.39, "word": " التربيع", "probability": 0.8609619140625}, {"start": 1667.39, "end": 1668.13, "word": " لواحد", "probability": 0.7620442708333334}, {"start": 1668.13, "end": 1668.83, "word": " ناقص", "probability": 0.977294921875}, {"start": 1668.83, "end": 1669.07, "word": " T", "probability": 0.8740234375}, {"start": 1669.07, "end": 1669.69, "word": " تربيع", "probability": 0.90673828125}, {"start": 1669.69, "end": 1670.73, "word": " الـA", "probability": 0.7670084635416666}, {"start": 1670.73, "end": 1671.29, "word": " والـM", "probability": 0.762451171875}, {"start": 1671.29, "end": 1671.55, "word": " على", "probability": 0.494140625}, {"start": 1671.55, "end": 1672.45, "word": " السلامة", "probability": 0.9650065104166666}, {"start": 1672.45, "end": 1673.07, "word": " يبقى", "probability": 0.9764404296875}, {"start": 1673.07, "end": 1673.95, "word": " تكامل", "probability": 0.9615478515625}, {"start": 1673.95, "end": 1674.87, "word": " DT", "probability": 0.821533203125}, {"start": 1674.87, "end": 1675.51, "word": " على", "probability": 0.880859375}, {"start": 1675.51, "end": 1675.97, "word": " الجدر", "probability": 0.9820963541666666}, {"start": 1675.97, "end": 1676.63, "word": " التربيع", "probability": 0.9722900390625}, {"start": 1676.63, "end": 1677.41, "word": " لواحد", "probability": 0.9306640625}, {"start": 1677.41, "end": 1678.21, "word": " ناقص", "probability": 0.9954833984375}, {"start": 1678.21, "end": 1678.57, "word": " T", "probability": 0.9736328125}, {"start": 1678.57, "end": 1679.37, "word": " تربيع", "probability": 0.940673828125}], "temperature": 1.0}, {"id": 76, "seek": 169559, "start": 1679.95, "end": 1695.59, "text": "بتطلع لي هنا هاي عندك مين مشتاق ال sign inverse x هي 1 على 1 ناقص x تربيع لو كملت هنا بيجيني التكمل اللي هناك صح؟ و لو كملت هنا هيضيع تفهيم مين بيطلع عندى", "tokens": [3555, 2655, 9566, 1211, 3615, 32239, 34105, 8032, 47302, 43242, 4117, 3714, 9957, 37893, 2655, 995, 4587, 2423, 1465, 17340, 2031, 39896, 502, 15844, 502, 8717, 995, 4587, 9381, 2031, 6055, 2288, 21292, 3615, 45164, 9122, 42213, 2655, 34105, 4724, 1829, 7435, 1829, 22653, 16712, 24793, 1211, 13672, 1829, 34105, 4117, 20328, 5016, 22807, 4032, 45164, 9122, 42213, 2655, 34105, 39896, 11242, 40228, 6055, 5172, 3224, 32640, 3714, 9957, 4724, 1829, 9566, 1211, 3615, 43242, 7578], "avg_logprob": -0.3125000139335533, "compression_ratio": 1.628930817610063, "no_speech_prob": 0.0, "words": [{"start": 1679.95, "end": 1680.69, "word": "بتطلع", "probability": 0.54736328125}, {"start": 1680.69, "end": 1680.85, "word": " لي", "probability": 0.29248046875}, {"start": 1680.85, "end": 1681.21, "word": " هنا", "probability": 0.796875}, {"start": 1681.21, "end": 1682.07, "word": " هاي", "probability": 0.4710693359375}, {"start": 1682.07, "end": 1682.59, "word": " عندك", "probability": 0.98779296875}, {"start": 1682.59, "end": 1682.95, "word": " مين", "probability": 0.92236328125}, {"start": 1682.95, "end": 1683.91, "word": " مشتاق", "probability": 0.728759765625}, {"start": 1683.91, "end": 1684.11, "word": " ال", "probability": 0.61328125}, {"start": 1684.11, "end": 1684.45, "word": " sign", "probability": 0.419677734375}, {"start": 1684.45, "end": 1685.01, "word": " inverse", "probability": 0.92822265625}, {"start": 1685.01, "end": 1685.33, "word": " x", "probability": 0.416259765625}, {"start": 1685.33, "end": 1685.51, "word": " هي", "probability": 0.84619140625}, {"start": 1685.51, "end": 1685.81, "word": " 1", "probability": 0.5830078125}, {"start": 1685.81, "end": 1686.05, "word": " على", "probability": 0.626953125}, {"start": 1686.05, "end": 1686.39, "word": " 1", "probability": 0.94921875}, {"start": 1686.39, "end": 1686.91, "word": " ناقص", "probability": 0.9208984375}, {"start": 1686.91, "end": 1687.15, "word": " x", "probability": 0.8203125}, {"start": 1687.15, "end": 1687.61, "word": " تربيع", "probability": 0.6649169921875}, {"start": 1687.61, "end": 1688.39, "word": " لو", "probability": 0.49951171875}, {"start": 1688.39, "end": 1689.21, "word": " كملت", "probability": 0.8684895833333334}, {"start": 1689.21, "end": 1689.51, "word": " هنا", "probability": 0.97412109375}, {"start": 1689.51, "end": 1689.91, "word": " بيجيني", "probability": 0.769921875}, {"start": 1689.91, "end": 1690.57, "word": " التكمل", "probability": 0.8125}, {"start": 1690.57, "end": 1690.79, "word": " اللي", "probability": 0.9599609375}, {"start": 1690.79, "end": 1691.39, "word": " هناك", "probability": 0.9775390625}, {"start": 1691.39, "end": 1692.11, "word": " صح؟", "probability": 0.80859375}, {"start": 1692.11, "end": 1692.55, "word": " و", "probability": 0.64599609375}, {"start": 1692.55, "end": 1692.77, "word": " لو", "probability": 0.93115234375}, {"start": 1692.77, "end": 1693.33, "word": " كملت", "probability": 0.9905598958333334}, {"start": 1693.33, "end": 1693.53, "word": " هنا", "probability": 0.98486328125}, {"start": 1693.53, "end": 1694.07, "word": " هيضيع", "probability": 0.8291015625}, {"start": 1694.07, "end": 1694.57, "word": " تفهيم", "probability": 0.763916015625}, {"start": 1694.57, "end": 1694.79, "word": " مين", "probability": 0.790283203125}, {"start": 1694.79, "end": 1695.15, "word": " بيطلع", "probability": 0.9126953125}, {"start": 1695.15, "end": 1695.59, "word": " عندى", "probability": 0.67138671875}], "temperature": 1.0}, {"id": 77, "seek": 172306, "start": 1696.1, "end": 1723.06, "text": "سين انفرس X يبدو هذا الجواب يبدو يساوي سين انفرس T زائد كونستان C لكن اتطلعلي هذي T قداش بدها تساوي X على A إذا هذي بدها تساوي سين انفرس X على A زائد كونستان C وهو المطلوب الأول اللي عندنا", "tokens": [3794, 9957, 16472, 5172, 2288, 3794, 1783, 7251, 44510, 2407, 23758, 25724, 14407, 3555, 7251, 44510, 2407, 7251, 3794, 995, 45865, 8608, 9957, 16472, 5172, 2288, 3794, 314, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 383, 44381, 1975, 2655, 9566, 1211, 3615, 20292, 8032, 8848, 1829, 314, 12174, 3215, 33599, 47525, 11296, 6055, 3794, 995, 45865, 1783, 15844, 316, 11933, 15730, 8032, 8848, 1829, 47525, 11296, 6055, 3794, 995, 45865, 8608, 9957, 16472, 5172, 2288, 3794, 1783, 15844, 316, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 383, 37037, 2407, 9673, 9566, 1211, 37746, 16247, 12610, 13672, 1829, 43242, 8315], "avg_logprob": -0.32531251430511476, "compression_ratio": 1.981818181818182, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1696.1, "end": 1696.82, "word": "سين", "probability": 0.29974365234375}, {"start": 1696.82, "end": 1697.68, "word": " انفرس", "probability": 0.75469970703125}, {"start": 1697.68, "end": 1697.94, "word": " X", "probability": 0.48828125}, {"start": 1697.94, "end": 1698.5, "word": " يبدو", "probability": 0.6133626302083334}, {"start": 1698.5, "end": 1698.92, "word": " هذا", "probability": 0.366455078125}, {"start": 1698.92, "end": 1699.78, "word": " الجواب", "probability": 0.7791341145833334}, {"start": 1699.78, "end": 1700.42, "word": " يبدو", "probability": 0.4786376953125}, {"start": 1700.42, "end": 1701.1, "word": " يساوي", "probability": 0.789794921875}, {"start": 1701.1, "end": 1702.08, "word": " سين", "probability": 0.615478515625}, {"start": 1702.08, "end": 1703.38, "word": " انفرس", "probability": 0.9532470703125}, {"start": 1703.38, "end": 1703.78, "word": " T", "probability": 0.92333984375}, {"start": 1703.78, "end": 1704.94, "word": " زائد", "probability": 0.7962239583333334}, {"start": 1704.94, "end": 1705.7, "word": " كونستان", "probability": 0.69024658203125}, {"start": 1705.7, "end": 1706.0, "word": " C", "probability": 0.6708984375}, {"start": 1706.0, "end": 1706.8, "word": " لكن", "probability": 0.8095703125}, {"start": 1706.8, "end": 1707.72, "word": " اتطلعلي", "probability": 0.6680908203125}, {"start": 1707.72, "end": 1708.22, "word": " هذي", "probability": 0.4564615885416667}, {"start": 1708.22, "end": 1708.44, "word": " T", "probability": 0.9423828125}, {"start": 1708.44, "end": 1708.9, "word": " قداش", "probability": 0.548095703125}, {"start": 1708.9, "end": 1709.18, "word": " بدها", "probability": 0.6788330078125}, {"start": 1709.18, "end": 1709.9, "word": " تساوي", "probability": 0.9827880859375}, {"start": 1709.9, "end": 1711.4, "word": " X", "probability": 0.92529296875}, {"start": 1711.4, "end": 1711.72, "word": " على", "probability": 0.52294921875}, {"start": 1711.72, "end": 1712.08, "word": " A", "probability": 0.90283203125}, {"start": 1712.08, "end": 1712.7, "word": " إذا", "probability": 0.662841796875}, {"start": 1712.7, "end": 1713.2, "word": " هذي", "probability": 0.7574869791666666}, {"start": 1713.2, "end": 1713.6, "word": " بدها", "probability": 0.97509765625}, {"start": 1713.6, "end": 1714.24, "word": " تساوي", "probability": 0.98486328125}, {"start": 1714.24, "end": 1715.0, "word": " سين", "probability": 0.787353515625}, {"start": 1715.0, "end": 1715.94, "word": " انفرس", "probability": 0.9825439453125}, {"start": 1715.94, "end": 1716.76, "word": " X", "probability": 0.53125}, {"start": 1716.76, "end": 1717.2, "word": " على", "probability": 0.6953125}, {"start": 1717.2, "end": 1717.7, "word": " A", "probability": 0.98193359375}, {"start": 1717.7, "end": 1718.84, "word": " زائد", "probability": 0.9620768229166666}, {"start": 1718.84, "end": 1719.66, "word": " كونستان", "probability": 0.9755859375}, {"start": 1719.66, "end": 1720.02, "word": " C", "probability": 0.98095703125}, {"start": 1720.02, "end": 1720.84, "word": " وهو", "probability": 0.90234375}, {"start": 1720.84, "end": 1721.76, "word": " المطلوب", "probability": 0.985595703125}, {"start": 1721.76, "end": 1722.44, "word": " الأول", "probability": 0.94921875}, {"start": 1722.44, "end": 1722.66, "word": " اللي", "probability": 0.947265625}, {"start": 1722.66, "end": 1723.06, "word": " عندنا", "probability": 0.69775390625}], "temperature": 1.0}, {"id": 78, "seek": 174257, "start": 1725.53, "end": 1742.57, "text": "نفس التعويضة بدي أضعها للدلة اللي عندنا هذه، يبقى انا ايش بدي أشيلها يا شباب؟ ايه تربيعتي تربيع، وهنا قادتي، يبقى بدي أخد ايه تربيع عامل مشتركه فوق، ايه بيظل جداش؟", "tokens": [1863, 36178, 16712, 3615, 45865, 11242, 3660, 4724, 16254, 5551, 11242, 3615, 11296, 24976, 3215, 37977, 13672, 1829, 43242, 8315, 29538, 12399, 7251, 3555, 4587, 7578, 1975, 8315, 1975, 1829, 8592, 4724, 16254, 5551, 8592, 26895, 11296, 35186, 13412, 3555, 16758, 22807, 1975, 1829, 3224, 6055, 2288, 21292, 3615, 31371, 6055, 2288, 21292, 3615, 12399, 37037, 8315, 12174, 18513, 31371, 12399, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 9778, 3215, 1975, 1829, 3224, 6055, 2288, 21292, 3615, 6225, 10943, 1211, 37893, 2655, 31747, 3224, 6156, 30543, 12399, 1975, 1829, 3224, 4724, 1829, 19913, 1211, 10874, 3215, 33599, 22807], "avg_logprob": -0.3121843494550146, "compression_ratio": 1.8048780487804879, "no_speech_prob": 0.0, "words": [{"start": 1725.53, "end": 1726.15, "word": "نفس", "probability": 0.763671875}, {"start": 1726.15, "end": 1727.33, "word": " التعويضة", "probability": 0.9615234375}, {"start": 1727.33, "end": 1728.13, "word": " بدي", "probability": 0.373779296875}, {"start": 1728.13, "end": 1728.65, "word": " أضعها", "probability": 0.68927001953125}, {"start": 1728.65, "end": 1729.17, "word": " للدلة", "probability": 0.6110026041666666}, {"start": 1729.17, "end": 1729.33, "word": " اللي", "probability": 0.823974609375}, {"start": 1729.33, "end": 1729.71, "word": " عندنا", "probability": 0.947265625}, {"start": 1729.71, "end": 1730.31, "word": " هذه،", "probability": 0.351806640625}, {"start": 1730.31, "end": 1730.55, "word": " يبقى", "probability": 0.831298828125}, {"start": 1730.55, "end": 1730.71, "word": " انا", "probability": 0.523773193359375}, {"start": 1730.71, "end": 1730.81, "word": " ايش", "probability": 0.612060546875}, {"start": 1730.81, "end": 1730.95, "word": " بدي", "probability": 0.697509765625}, {"start": 1730.95, "end": 1731.25, "word": " أشيلها", "probability": 0.636962890625}, {"start": 1731.25, "end": 1731.33, "word": " يا", "probability": 0.935546875}, {"start": 1731.33, "end": 1732.57, "word": " شباب؟", "probability": 0.944091796875}, {"start": 1732.57, "end": 1732.87, "word": " ايه", "probability": 0.84521484375}, {"start": 1732.87, "end": 1733.91, "word": " تربيعتي", "probability": 0.7724609375}, {"start": 1733.91, "end": 1735.01, "word": " تربيع،", "probability": 0.85517578125}, {"start": 1735.01, "end": 1735.81, "word": " وهنا", "probability": 0.832275390625}, {"start": 1735.81, "end": 1737.95, "word": " قادتي،", "probability": 0.67877197265625}, {"start": 1737.95, "end": 1738.43, "word": " يبقى", "probability": 0.9757080078125}, {"start": 1738.43, "end": 1738.69, "word": " بدي", "probability": 0.937744140625}, {"start": 1738.69, "end": 1739.09, "word": " أخد", "probability": 0.7981770833333334}, {"start": 1739.09, "end": 1739.37, "word": " ايه", "probability": 0.9269205729166666}, {"start": 1739.37, "end": 1739.87, "word": " تربيع", "probability": 0.8226318359375}, {"start": 1739.87, "end": 1740.15, "word": " عامل", "probability": 0.859375}, {"start": 1740.15, "end": 1740.71, "word": " مشتركه", "probability": 0.70367431640625}, {"start": 1740.71, "end": 1741.19, "word": " فوق،", "probability": 0.6885579427083334}, {"start": 1741.19, "end": 1741.35, "word": " ايه", "probability": 0.9397786458333334}, {"start": 1741.35, "end": 1741.65, "word": " بيظل", "probability": 0.6488037109375}, {"start": 1741.65, "end": 1742.57, "word": " جداش؟", "probability": 0.7781982421875}], "temperature": 1.0}, {"id": 79, "seek": 176867, "start": 1742.85, "end": 1768.67, "text": "1 على A هايها و بضل 1 على 1 زي T تربيع اللي هو tan inverse T بشيل ال T و بحط مكانها X على A بيقول حصلنا على هذي هذي بنفس الطريقة اللي بعدها بدي أشيل ال X و أحط مكانها A T وهذه A تربيع T تربيع و فوق A دي T", "tokens": [16, 15844, 316, 8032, 47302, 11296, 4032, 4724, 11242, 1211, 502, 15844, 502, 30767, 1829, 314, 6055, 2288, 21292, 3615, 13672, 1829, 31439, 7603, 17340, 314, 4724, 8592, 26895, 2423, 314, 4032, 4724, 5016, 9566, 3714, 41361, 11296, 1783, 15844, 316, 4724, 1829, 39648, 11331, 36520, 8315, 15844, 8032, 8848, 1829, 8032, 8848, 1829, 44945, 36178, 41950, 16572, 28671, 13672, 1829, 39182, 11296, 4724, 16254, 5551, 8592, 26895, 2423, 1783, 4032, 5551, 5016, 9566, 3714, 41361, 11296, 316, 314, 37037, 24192, 316, 6055, 2288, 21292, 3615, 314, 6055, 2288, 21292, 3615, 4032, 6156, 30543, 316, 11778, 1829, 314], "avg_logprob": -0.29071968372422036, "compression_ratio": 1.75, "no_speech_prob": 0.0, "words": [{"start": 1742.85, "end": 1743.35, "word": "1", "probability": 0.10943603515625}, {"start": 1743.35, "end": 1743.91, "word": " على", "probability": 0.23095703125}, {"start": 1743.91, "end": 1744.29, "word": " A", "probability": 0.28515625}, {"start": 1744.29, "end": 1745.09, "word": " هايها", "probability": 0.3663736979166667}, {"start": 1745.09, "end": 1745.65, "word": " و", "probability": 0.52734375}, {"start": 1745.65, "end": 1746.03, "word": " بضل", "probability": 0.5556640625}, {"start": 1746.03, "end": 1746.45, "word": " 1", "probability": 0.8798828125}, {"start": 1746.45, "end": 1746.73, "word": " على", "probability": 0.84814453125}, {"start": 1746.73, "end": 1747.07, "word": " 1", "probability": 0.96533203125}, {"start": 1747.07, "end": 1747.47, "word": " زي", "probability": 0.738525390625}, {"start": 1747.47, "end": 1747.75, "word": " T", "probability": 0.86279296875}, {"start": 1747.75, "end": 1748.67, "word": " تربيع", "probability": 0.873779296875}, {"start": 1748.67, "end": 1749.33, "word": " اللي", "probability": 0.728759765625}, {"start": 1749.33, "end": 1749.65, "word": " هو", "probability": 0.96337890625}, {"start": 1749.65, "end": 1750.09, "word": " tan", "probability": 0.257568359375}, {"start": 1750.09, "end": 1750.97, "word": " inverse", "probability": 0.93798828125}, {"start": 1750.97, "end": 1751.49, "word": " T", "probability": 0.8984375}, {"start": 1751.49, "end": 1752.17, "word": " بشيل", "probability": 0.9090169270833334}, {"start": 1752.17, "end": 1752.33, "word": " ال", "probability": 0.75146484375}, {"start": 1752.33, "end": 1752.45, "word": " T", "probability": 0.88037109375}, {"start": 1752.45, "end": 1752.59, "word": " و", "probability": 0.818359375}, {"start": 1752.59, "end": 1752.85, "word": " بحط", "probability": 0.8963216145833334}, {"start": 1752.85, "end": 1753.35, "word": " مكانها", "probability": 0.812744140625}, {"start": 1753.35, "end": 1753.63, "word": " X", "probability": 0.9228515625}, {"start": 1753.63, "end": 1753.91, "word": " على", "probability": 0.87890625}, {"start": 1753.91, "end": 1754.31, "word": " A", "probability": 0.98876953125}, {"start": 1754.31, "end": 1754.91, "word": " بيقول", "probability": 0.5083821614583334}, {"start": 1754.91, "end": 1755.55, "word": " حصلنا", "probability": 0.93115234375}, {"start": 1755.55, "end": 1755.75, "word": " على", "probability": 0.91796875}, {"start": 1755.75, "end": 1756.23, "word": " هذي", "probability": 0.4175618489583333}, {"start": 1756.23, "end": 1756.93, "word": " هذي", "probability": 0.7552083333333334}, {"start": 1756.93, "end": 1757.35, "word": " بنفس", "probability": 0.985595703125}, {"start": 1757.35, "end": 1758.07, "word": " الطريقة", "probability": 0.9884440104166666}, {"start": 1758.07, "end": 1758.59, "word": " اللي", "probability": 0.947998046875}, {"start": 1758.59, "end": 1759.15, "word": " بعدها", "probability": 0.937744140625}, {"start": 1759.15, "end": 1759.85, "word": " بدي", "probability": 0.828857421875}, {"start": 1759.85, "end": 1760.25, "word": " أشيل", "probability": 0.84716796875}, {"start": 1760.25, "end": 1760.41, "word": " ال", "probability": 0.88330078125}, {"start": 1760.41, "end": 1760.69, "word": " X", "probability": 0.990234375}, {"start": 1760.69, "end": 1760.87, "word": " و", "probability": 0.96240234375}, {"start": 1760.87, "end": 1761.13, "word": " أحط", "probability": 0.9542643229166666}, {"start": 1761.13, "end": 1761.93, "word": " مكانها", "probability": 0.9070638020833334}, {"start": 1761.93, "end": 1762.47, "word": " A", "probability": 0.410400390625}, {"start": 1762.47, "end": 1762.97, "word": " T", "probability": 0.9150390625}, {"start": 1762.97, "end": 1764.17, "word": " وهذه", "probability": 0.467529296875}, {"start": 1764.17, "end": 1764.47, "word": " A", "probability": 0.96875}, {"start": 1764.47, "end": 1765.47, "word": " تربيع", "probability": 0.9100341796875}, {"start": 1765.47, "end": 1765.79, "word": " T", "probability": 0.77001953125}, {"start": 1765.79, "end": 1766.55, "word": " تربيع", "probability": 0.977294921875}, {"start": 1766.55, "end": 1766.97, "word": " و", "probability": 0.96826171875}, {"start": 1766.97, "end": 1767.37, "word": " فوق", "probability": 0.90234375}, {"start": 1767.37, "end": 1767.93, "word": " A", "probability": 0.93603515625}, {"start": 1767.93, "end": 1768.43, "word": " دي", "probability": 0.828369140625}, {"start": 1768.43, "end": 1768.67, "word": " T", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 80, "seek": 179215, "start": 1769.05, "end": 1792.15, "text": "هنا ا تربية ا تربية تطلع برا با مع ال ا ا تربية وعندي ا فوق يبقى واحد على ا بيظل واحد على ت واحد زي ا و ت تربية ناقص واحد لوسيك inverse t بشيل ال t و بحط مكان x عليه بيقول وصلنا لمين وصلنا للنتيجة", "tokens": [3224, 8315, 1975, 6055, 25513, 10632, 1975, 6055, 25513, 10632, 6055, 9566, 1211, 3615, 4724, 23557, 4724, 995, 20449, 2423, 1975, 1975, 6055, 25513, 10632, 4032, 3615, 1863, 16254, 1975, 6156, 30543, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 1975, 4724, 1829, 19913, 1211, 36764, 24401, 15844, 6055, 36764, 24401, 30767, 1829, 1975, 4032, 6055, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401, 5296, 41779, 1829, 4117, 17340, 256, 4724, 8592, 26895, 2423, 256, 4032, 4724, 5016, 9566, 3714, 41361, 2031, 47356, 4724, 1829, 39648, 4032, 36520, 8315, 32767, 9957, 4032, 36520, 8315, 24976, 29399, 1829, 7435, 3660], "avg_logprob": -0.36343749761581423, "compression_ratio": 1.8820224719101124, "no_speech_prob": 0.0, "words": [{"start": 1769.05, "end": 1769.69, "word": "هنا", "probability": 0.162445068359375}, {"start": 1769.69, "end": 1771.09, "word": " ا", "probability": 0.1810302734375}, {"start": 1771.09, "end": 1771.59, "word": " تربية", "probability": 0.5869954427083334}, {"start": 1771.59, "end": 1771.75, "word": " ا", "probability": 0.5498046875}, {"start": 1771.75, "end": 1772.05, "word": " تربية", "probability": 0.753662109375}, {"start": 1772.05, "end": 1772.41, "word": " تطلع", "probability": 0.78021240234375}, {"start": 1772.41, "end": 1772.85, "word": " برا", "probability": 0.755126953125}, {"start": 1772.85, "end": 1773.99, "word": " با", "probability": 0.4344482421875}, {"start": 1773.99, "end": 1774.41, "word": " مع", "probability": 0.61767578125}, {"start": 1774.41, "end": 1774.69, "word": " ال", "probability": 0.53076171875}, {"start": 1774.69, "end": 1775.03, "word": " ا", "probability": 0.302001953125}, {"start": 1775.03, "end": 1775.63, "word": " ا", "probability": 0.63671875}, {"start": 1775.63, "end": 1776.11, "word": " تربية", "probability": 0.9264322916666666}, {"start": 1776.11, "end": 1776.55, "word": " وعندي", "probability": 0.71142578125}, {"start": 1776.55, "end": 1776.69, "word": " ا", "probability": 0.89697265625}, {"start": 1776.69, "end": 1777.19, "word": " فوق", "probability": 0.884521484375}, {"start": 1777.19, "end": 1777.63, "word": " يبقى", "probability": 0.8963623046875}, {"start": 1777.63, "end": 1777.91, "word": " واحد", "probability": 0.90625}, {"start": 1777.91, "end": 1778.11, "word": " على", "probability": 0.70556640625}, {"start": 1778.11, "end": 1778.35, "word": " ا", "probability": 0.94140625}, {"start": 1778.35, "end": 1779.39, "word": " بيظل", "probability": 0.58062744140625}, {"start": 1779.39, "end": 1780.21, "word": " واحد", "probability": 0.834716796875}, {"start": 1780.21, "end": 1780.49, "word": " على", "probability": 0.7763671875}, {"start": 1780.49, "end": 1780.89, "word": " ت", "probability": 0.765625}, {"start": 1780.89, "end": 1781.75, "word": " واحد", "probability": 0.7744140625}, {"start": 1781.75, "end": 1781.89, "word": " زي", "probability": 0.566162109375}, {"start": 1781.89, "end": 1782.11, "word": " ا", "probability": 0.65869140625}, {"start": 1782.11, "end": 1782.31, "word": " و", "probability": 0.650390625}, {"start": 1782.31, "end": 1782.51, "word": " ت", "probability": 0.669921875}, {"start": 1782.51, "end": 1783.17, "word": " تربية", "probability": 0.9501953125}, {"start": 1783.17, "end": 1783.93, "word": " ناقص", "probability": 0.8623046875}, {"start": 1783.93, "end": 1784.17, "word": " واحد", "probability": 0.983154296875}, {"start": 1784.17, "end": 1784.97, "word": " لوسيك", "probability": 0.512481689453125}, {"start": 1784.97, "end": 1785.67, "word": " inverse", "probability": 0.80859375}, {"start": 1785.67, "end": 1786.15, "word": " t", "probability": 0.33447265625}, {"start": 1786.15, "end": 1786.93, "word": " بشيل", "probability": 0.9112955729166666}, {"start": 1786.93, "end": 1787.07, "word": " ال", "probability": 0.79052734375}, {"start": 1787.07, "end": 1787.19, "word": " t", "probability": 0.5107421875}, {"start": 1787.19, "end": 1787.29, "word": " و", "probability": 0.744140625}, {"start": 1787.29, "end": 1787.57, "word": " بحط", "probability": 0.87451171875}, {"start": 1787.57, "end": 1787.85, "word": " مكان", "probability": 0.978271484375}, {"start": 1787.85, "end": 1788.21, "word": " x", "probability": 0.64208984375}, {"start": 1788.21, "end": 1788.43, "word": " عليه", "probability": 0.430419921875}, {"start": 1788.43, "end": 1788.79, "word": " بيقول", "probability": 0.5974934895833334}, {"start": 1788.79, "end": 1789.21, "word": " وصلنا", "probability": 0.9736328125}, {"start": 1789.21, "end": 1789.73, "word": " لمين", "probability": 0.78564453125}, {"start": 1789.73, "end": 1790.93, "word": " وصلنا", "probability": 0.9080403645833334}, {"start": 1790.93, "end": 1792.15, "word": " للنتيجة", "probability": 0.948046875}], "temperature": 1.0}, {"id": 81, "seek": 180724, "start": 1792.26, "end": 1807.24, "text": "طبعا استفدنا فائدة كبيرة جدا كثير من المسائل اللي كنا بنقدرش كاملة في calculus A أو في ال sections الماضية", "tokens": [9566, 3555, 3615, 995, 44713, 5172, 3215, 8315, 6156, 16373, 41891, 9122, 3555, 48923, 10874, 28259, 9122, 12984, 13546, 9154, 9673, 3794, 16373, 1211, 13672, 1829, 9122, 8315, 44945, 28543, 2288, 8592, 9122, 10943, 37977, 8978, 33400, 316, 34051, 8978, 2423, 10863, 9673, 46958, 10632], "avg_logprob": -0.3050271648427714, "compression_ratio": 1.3134328358208955, "no_speech_prob": 0.0, "words": [{"start": 1792.26, "end": 1792.84, "word": "طبعا", "probability": 0.743865966796875}, {"start": 1792.84, "end": 1798.0, "word": " استفدنا", "probability": 0.5555877685546875}, {"start": 1798.0, "end": 1798.64, "word": " فائدة", "probability": 0.9070638020833334}, {"start": 1798.64, "end": 1799.14, "word": " كبيرة", "probability": 0.9490559895833334}, {"start": 1799.14, "end": 1799.62, "word": " جدا", "probability": 0.943359375}, {"start": 1799.62, "end": 1800.64, "word": " كثير", "probability": 0.7117513020833334}, {"start": 1800.64, "end": 1800.88, "word": " من", "probability": 0.93603515625}, {"start": 1800.88, "end": 1801.5, "word": " المسائل", "probability": 0.920166015625}, {"start": 1801.5, "end": 1801.7, "word": " اللي", "probability": 0.744140625}, {"start": 1801.7, "end": 1802.0, "word": " كنا", "probability": 0.935302734375}, {"start": 1802.0, "end": 1802.62, "word": " بنقدرش", "probability": 0.884033203125}, {"start": 1802.62, "end": 1803.4, "word": " كاملة", "probability": 0.8085123697916666}, {"start": 1803.4, "end": 1803.9, "word": " في", "probability": 0.873046875}, {"start": 1803.9, "end": 1804.38, "word": " calculus", "probability": 0.5732421875}, {"start": 1804.38, "end": 1804.98, "word": " A", "probability": 0.390380859375}, {"start": 1804.98, "end": 1805.36, "word": " أو", "probability": 0.736328125}, {"start": 1805.36, "end": 1805.52, "word": " في", "probability": 0.67626953125}, {"start": 1805.52, "end": 1805.64, "word": " ال", "probability": 0.76171875}, {"start": 1805.64, "end": 1806.16, "word": " sections", "probability": 0.8701171875}, {"start": 1806.16, "end": 1807.24, "word": " الماضية", "probability": 0.9845377604166666}], "temperature": 1.0}, {"id": 82, "seek": 183336, "start": 1807.44, "end": 1833.36, "text": "هذه من كاملها بسهولة خاصة إذا المسألة فيها جذور يبقى قدرنا نخلص من الجذور و نحط التكامل تبع من الدلالة لإنها طيب إذا بنبدأ ناخد ايش بعض الأمثلة على هذا الموضوع يبقى examples أول مثال بيقول find the following", "tokens": [3224, 24192, 9154, 9122, 10943, 1211, 11296, 4724, 3794, 3224, 12610, 3660, 16490, 33546, 3660, 11933, 15730, 9673, 3794, 10721, 37977, 8978, 11296, 10874, 8848, 13063, 7251, 3555, 4587, 7578, 12174, 3215, 2288, 8315, 8717, 9778, 1211, 9381, 9154, 25724, 8848, 13063, 4032, 8717, 5016, 9566, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 9154, 32748, 1211, 6027, 3660, 5296, 28814, 1863, 11296, 23032, 1829, 3555, 11933, 15730, 44945, 44510, 10721, 8717, 47283, 3215, 1975, 1829, 8592, 45030, 11242, 16247, 2304, 12984, 37977, 15844, 23758, 9673, 2407, 11242, 45367, 7251, 3555, 4587, 7578, 5110, 5551, 12610, 50113, 6027, 4724, 1829, 39648, 915, 264, 3480], "avg_logprob": -0.23302283510565758, "compression_ratio": 1.6372093023255814, "no_speech_prob": 0.0, "words": [{"start": 1807.44, "end": 1808.02, "word": "هذه", "probability": 0.42486572265625}, {"start": 1808.02, "end": 1808.26, "word": " من", "probability": 0.1722412109375}, {"start": 1808.26, "end": 1808.9, "word": " كاملها", "probability": 0.8583984375}, {"start": 1808.9, "end": 1809.74, "word": " بسهولة", "probability": 0.99306640625}, {"start": 1809.74, "end": 1810.48, "word": " خاصة", "probability": 0.9182942708333334}, {"start": 1810.48, "end": 1810.64, "word": " إذا", "probability": 0.9638671875}, {"start": 1810.64, "end": 1811.12, "word": " المسألة", "probability": 0.93701171875}, {"start": 1811.12, "end": 1811.66, "word": " فيها", "probability": 0.95166015625}, {"start": 1811.66, "end": 1812.44, "word": " جذور", "probability": 0.9947916666666666}, {"start": 1812.44, "end": 1813.2, "word": " يبقى", "probability": 0.931396484375}, {"start": 1813.2, "end": 1813.54, "word": " قدرنا", "probability": 0.728179931640625}, {"start": 1813.54, "end": 1814.06, "word": " نخلص", "probability": 0.929931640625}, {"start": 1814.06, "end": 1814.2, "word": " من", "probability": 0.96484375}, {"start": 1814.2, "end": 1814.78, "word": " الجذور", "probability": 0.97998046875}, {"start": 1814.78, "end": 1815.2, "word": " و", "probability": 0.935546875}, {"start": 1815.2, "end": 1815.64, "word": " نحط", "probability": 0.6902669270833334}, {"start": 1815.64, "end": 1816.24, "word": " التكامل", "probability": 0.9285888671875}, {"start": 1816.24, "end": 1816.52, "word": " تبع", "probability": 0.8831380208333334}, {"start": 1816.52, "end": 1816.88, "word": " من", "probability": 0.60888671875}, {"start": 1816.88, "end": 1817.86, "word": " الدلالة", "probability": 0.7628173828125}, {"start": 1817.86, "end": 1818.08, "word": " لإنها", "probability": 0.493133544921875}, {"start": 1818.08, "end": 1818.84, "word": " طيب", "probability": 0.6996663411458334}, {"start": 1818.84, "end": 1819.1, "word": " إذا", "probability": 0.917236328125}, {"start": 1819.1, "end": 1819.48, "word": " بنبدأ", "probability": 0.7224934895833334}, {"start": 1819.48, "end": 1819.86, "word": " ناخد", "probability": 0.92138671875}, {"start": 1819.86, "end": 1820.3, "word": " ايش", "probability": 0.6571451822916666}, {"start": 1820.3, "end": 1820.98, "word": " بعض", "probability": 0.78759765625}, {"start": 1820.98, "end": 1821.64, "word": " الأمثلة", "probability": 0.9249267578125}, {"start": 1821.64, "end": 1821.9, "word": " على", "probability": 0.89013671875}, {"start": 1821.9, "end": 1822.52, "word": " هذا", "probability": 0.93115234375}, {"start": 1822.52, "end": 1823.24, "word": " الموضوع", "probability": 0.9967041015625}, {"start": 1823.24, "end": 1824.0, "word": " يبقى", "probability": 0.975830078125}, {"start": 1824.0, "end": 1824.82, "word": " examples", "probability": 0.6337890625}, {"start": 1824.82, "end": 1828.34, "word": " أول", "probability": 0.791748046875}, {"start": 1828.34, "end": 1829.06, "word": " مثال", "probability": 0.82373046875}, {"start": 1829.06, "end": 1830.02, "word": " بيقول", "probability": 0.7814127604166666}, {"start": 1830.02, "end": 1830.98, "word": " find", "probability": 0.6904296875}, {"start": 1830.98, "end": 1832.66, "word": " the", "probability": 0.8984375}, {"start": 1832.66, "end": 1833.36, "word": " following", "probability": 0.904296875}], "temperature": 1.0}, {"id": 83, "seek": 185327, "start": 1836.17, "end": 1853.27, "text": "Limits بدنا النهايات التالية أول واحدة منهم بدنا limit لما ال X بدها تروح إلى infinity لل X في 10 inverse 2 على X", "tokens": [43, 332, 1208, 47525, 8315, 28239, 11296, 1829, 9307, 16712, 6027, 10632, 5551, 12610, 36764, 24401, 3660, 9154, 16095, 47525, 8315, 4948, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 30731, 13202, 24976, 1783, 8978, 1266, 17340, 568, 15844, 1783], "avg_logprob": -0.24758183459440866, "compression_ratio": 1.2761194029850746, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1836.17, "end": 1836.97, "word": "Limits", "probability": 0.6715494791666666}, {"start": 1836.97, "end": 1837.97, "word": " بدنا", "probability": 0.6331787109375}, {"start": 1837.97, "end": 1839.25, "word": " النهايات", "probability": 0.904296875}, {"start": 1839.25, "end": 1840.43, "word": " التالية", "probability": 0.9798177083333334}, {"start": 1840.43, "end": 1841.57, "word": " أول", "probability": 0.72802734375}, {"start": 1841.57, "end": 1842.01, "word": " واحدة", "probability": 0.96044921875}, {"start": 1842.01, "end": 1842.41, "word": " منهم", "probability": 0.947998046875}, {"start": 1842.41, "end": 1843.35, "word": " بدنا", "probability": 0.966552734375}, {"start": 1843.35, "end": 1843.89, "word": " limit", "probability": 0.751953125}, {"start": 1843.89, "end": 1844.79, "word": " لما", "probability": 0.8837890625}, {"start": 1844.79, "end": 1844.99, "word": " ال", "probability": 0.87451171875}, {"start": 1844.99, "end": 1845.33, "word": " X", "probability": 0.63232421875}, {"start": 1845.33, "end": 1845.79, "word": " بدها", "probability": 0.978515625}, {"start": 1845.79, "end": 1846.27, "word": " تروح", "probability": 0.9890950520833334}, {"start": 1846.27, "end": 1846.59, "word": " إلى", "probability": 0.5556640625}, {"start": 1846.59, "end": 1847.41, "word": " infinity", "probability": 0.65478515625}, {"start": 1847.41, "end": 1848.33, "word": " لل", "probability": 0.70068359375}, {"start": 1848.33, "end": 1848.89, "word": " X", "probability": 0.92822265625}, {"start": 1848.89, "end": 1849.49, "word": " في", "probability": 0.8056640625}, {"start": 1849.49, "end": 1850.11, "word": " 10", "probability": 0.26220703125}, {"start": 1850.11, "end": 1851.11, "word": " inverse", "probability": 0.60986328125}, {"start": 1851.11, "end": 1851.97, "word": " 2", "probability": 0.88818359375}, {"start": 1851.97, "end": 1852.75, "word": " على", "probability": 0.56201171875}, {"start": 1852.75, "end": 1853.27, "word": " X", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 84, "seek": 188320, "start": 1854.22, "end": 1883.2, "text": "طب ما احنا خدنا limit قبل ذلك و ليه جاي تعطينا limit هنا؟ الإجابة بسيطة جدا لإن هناك أخدنا limit في حالة Lobital وما أخدناهاش لمعكوث ماكانش ولا سؤال في معكوث لدالة مثلثية لإنه ما أخدناهاش الدوال المثلثية يوم أن أخدنا قاعدة Lobital إذا بدنا نعمم Lobital لمعكوث الدول المثلثية و لا غيره", "tokens": [9566, 3555, 19446, 1975, 5016, 8315, 16490, 3215, 8315, 4948, 12174, 36150, 29910, 23275, 4032, 32239, 3224, 10874, 47302, 6055, 3615, 9566, 1829, 8315, 4948, 34105, 22807, 33688, 7435, 16758, 3660, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 5296, 28814, 1863, 34105, 4117, 5551, 9778, 3215, 8315, 4948, 8978, 11331, 6027, 3660, 30719, 1686, 4032, 15042, 5551, 9778, 3215, 8315, 3224, 33599, 32767, 3615, 4117, 2407, 12984, 19446, 41361, 8592, 49429, 8608, 33604, 6027, 8978, 20449, 4117, 2407, 12984, 5296, 3215, 6027, 3660, 50113, 1211, 12984, 10632, 5296, 28814, 1863, 3224, 19446, 5551, 9778, 3215, 8315, 3224, 33599, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632, 7251, 20498, 14739, 5551, 9778, 3215, 8315, 12174, 995, 22488, 3660, 30719, 1686, 11933, 15730, 47525, 8315, 8717, 25957, 2304, 30719, 1686, 32767, 3615, 4117, 2407, 12984, 32748, 12610, 9673, 12984, 1211, 12984, 10632, 4032, 20193, 32771, 13546, 3224], "avg_logprob": -0.2094392090627592, "compression_ratio": 2.0425531914893615, "no_speech_prob": 0.0, "words": [{"start": 1854.22, "end": 1854.52, "word": "طب", "probability": 0.544036865234375}, {"start": 1854.52, "end": 1854.64, "word": " ما", "probability": 0.63037109375}, {"start": 1854.64, "end": 1854.74, "word": " احنا", "probability": 0.70556640625}, {"start": 1854.74, "end": 1855.2, "word": " خدنا", "probability": 0.9109700520833334}, {"start": 1855.2, "end": 1855.46, "word": " limit", "probability": 0.740234375}, {"start": 1855.46, "end": 1856.0, "word": " قبل", "probability": 0.991455078125}, {"start": 1856.0, "end": 1856.52, "word": " ذلك", "probability": 0.991943359375}, {"start": 1856.52, "end": 1856.68, "word": " و", "probability": 0.361083984375}, {"start": 1856.68, "end": 1856.9, "word": " ليه", "probability": 0.907470703125}, {"start": 1856.9, "end": 1857.14, "word": " جاي", "probability": 0.76171875}, {"start": 1857.14, "end": 1857.6, "word": " تعطينا", "probability": 0.853857421875}, {"start": 1857.6, "end": 1857.94, "word": " limit", "probability": 0.96484375}, {"start": 1857.94, "end": 1858.74, "word": " هنا؟", "probability": 0.82275390625}, {"start": 1858.74, "end": 1859.54, "word": " الإجابة", "probability": 0.80023193359375}, {"start": 1859.54, "end": 1860.06, "word": " بسيطة", "probability": 0.9873046875}, {"start": 1860.06, "end": 1860.48, "word": " جدا", "probability": 0.983642578125}, {"start": 1860.48, "end": 1861.38, "word": " لإن", "probability": 0.6866861979166666}, {"start": 1861.38, "end": 1861.88, "word": " هناك", "probability": 0.88623046875}, {"start": 1861.88, "end": 1862.46, "word": " أخدنا", "probability": 0.940185546875}, {"start": 1862.46, "end": 1862.92, "word": " limit", "probability": 0.73681640625}, {"start": 1862.92, "end": 1863.16, "word": " في", "probability": 0.7158203125}, {"start": 1863.16, "end": 1863.62, "word": " حالة", "probability": 0.9972330729166666}, {"start": 1863.62, "end": 1864.18, "word": " Lobital", "probability": 0.6075439453125}, {"start": 1864.18, "end": 1864.86, "word": " وما", "probability": 0.740234375}, {"start": 1864.86, "end": 1865.7, "word": " أخدناهاش", "probability": 0.7677001953125}, {"start": 1865.7, "end": 1866.48, "word": " لمعكوث", "probability": 0.82822265625}, {"start": 1866.48, "end": 1867.06, "word": " ماكانش", "probability": 0.7576497395833334}, {"start": 1867.06, "end": 1867.42, "word": " ولا", "probability": 0.8369140625}, {"start": 1867.42, "end": 1868.22, "word": " سؤال", "probability": 0.9925130208333334}, {"start": 1868.22, "end": 1868.78, "word": " في", "probability": 0.9296875}, {"start": 1868.78, "end": 1869.44, "word": " معكوث", "probability": 0.8861083984375}, {"start": 1869.44, "end": 1870.16, "word": " لدالة", "probability": 0.8883056640625}, {"start": 1870.16, "end": 1871.34, "word": " مثلثية", "probability": 0.94873046875}, {"start": 1871.34, "end": 1872.16, "word": " لإنه", "probability": 0.81829833984375}, {"start": 1872.16, "end": 1872.26, "word": " ما", "probability": 0.95068359375}, {"start": 1872.26, "end": 1873.06, "word": " أخدناهاش", "probability": 0.8337809244791666}, {"start": 1873.06, "end": 1873.64, "word": " الدوال", "probability": 0.80517578125}, {"start": 1873.64, "end": 1874.76, "word": " المثلثية", "probability": 0.9865234375}, {"start": 1874.76, "end": 1875.56, "word": " يوم", "probability": 0.97216796875}, {"start": 1875.56, "end": 1875.84, "word": " أن", "probability": 0.388916015625}, {"start": 1875.84, "end": 1876.42, "word": " أخدنا", "probability": 0.9793701171875}, {"start": 1876.42, "end": 1877.32, "word": " قاعدة", "probability": 0.9859619140625}, {"start": 1877.32, "end": 1878.12, "word": " Lobital", "probability": 0.803466796875}, {"start": 1878.12, "end": 1878.94, "word": " إذا", "probability": 0.5701904296875}, {"start": 1878.94, "end": 1879.72, "word": " بدنا", "probability": 0.802001953125}, {"start": 1879.72, "end": 1880.24, "word": " نعمم", "probability": 0.7410481770833334}, {"start": 1880.24, "end": 1880.72, "word": " Lobital", "probability": 0.76123046875}, {"start": 1880.72, "end": 1881.34, "word": " لمعكوث", "probability": 0.930859375}, {"start": 1881.34, "end": 1881.72, "word": " الدول", "probability": 0.670166015625}, {"start": 1881.72, "end": 1882.54, "word": " المثلثية", "probability": 0.9900390625}, {"start": 1882.54, "end": 1882.7, "word": " و", "probability": 0.455322265625}, {"start": 1882.7, "end": 1882.8, "word": " لا", "probability": 0.8076171875}, {"start": 1882.8, "end": 1883.2, "word": " غيره", "probability": 0.91650390625}], "temperature": 1.0}, {"id": 85, "seek": 190962, "start": 1883.72, "end": 1909.62, "text": "طب اللي انا بدي احسب هذه اللي بتبقى اول خطوة هي التعويض المباشر شيل ال X وحط انفينيتي ونشيل ال X التاني ونحط انفينيتي اتنين على انفينيتي بزيرو تان انفرز زيرو بزيرو يبقى انفينيتي بزيرو هي الحالة الثانية يوم ما درسنا ال section اللي فيه قاعدات نوبة", "tokens": [9566, 3555, 13672, 1829, 1975, 8315, 4724, 16254, 1975, 5016, 35457, 29538, 13672, 1829, 39894, 3555, 4587, 7578, 1975, 12610, 16490, 9566, 2407, 3660, 39896, 16712, 3615, 45865, 11242, 9673, 3555, 33599, 2288, 13412, 26895, 2423, 1783, 4032, 5016, 9566, 16472, 5172, 9957, 1829, 31371, 4032, 1863, 8592, 26895, 2423, 1783, 16712, 7649, 1829, 4032, 1863, 5016, 9566, 16472, 5172, 9957, 1829, 31371, 1975, 2655, 1863, 9957, 15844, 16472, 5172, 9957, 1829, 31371, 4724, 11622, 13546, 2407, 6055, 7649, 16472, 5172, 2288, 11622, 30767, 13546, 2407, 4724, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 16472, 5172, 9957, 1829, 31371, 4724, 11622, 13546, 2407, 39896, 21542, 6027, 3660, 6024, 104, 7649, 10632, 7251, 20498, 19446, 11778, 2288, 3794, 8315, 2423, 3541, 13672, 1829, 8978, 3224, 12174, 995, 22488, 9307, 8717, 37746, 3660], "avg_logprob": -0.26704546177025995, "compression_ratio": 2.071090047393365, "no_speech_prob": 0.0, "words": [{"start": 1883.72, "end": 1884.02, "word": "طب", "probability": 0.490814208984375}, {"start": 1884.02, "end": 1884.2, "word": " اللي", "probability": 0.5513916015625}, {"start": 1884.2, "end": 1884.3, "word": " انا", "probability": 0.615234375}, {"start": 1884.3, "end": 1884.5, "word": " بدي", "probability": 0.591552734375}, {"start": 1884.5, "end": 1884.86, "word": " احسب", "probability": 0.8746744791666666}, {"start": 1884.86, "end": 1885.2, "word": " هذه", "probability": 0.373779296875}, {"start": 1885.2, "end": 1885.42, "word": " اللي", "probability": 0.80615234375}, {"start": 1885.42, "end": 1885.82, "word": " بتبقى", "probability": 0.615386962890625}, {"start": 1885.82, "end": 1886.26, "word": " اول", "probability": 0.82763671875}, {"start": 1886.26, "end": 1886.88, "word": " خطوة", "probability": 0.9854736328125}, {"start": 1886.88, "end": 1887.08, "word": " هي", "probability": 0.80322265625}, {"start": 1887.08, "end": 1888.0, "word": " التعويض", "probability": 0.8265380859375}, {"start": 1888.0, "end": 1889.22, "word": " المباشر", "probability": 0.9752197265625}, {"start": 1889.22, "end": 1889.98, "word": " شيل", "probability": 0.80126953125}, {"start": 1889.98, "end": 1890.16, "word": " ال", "probability": 0.94189453125}, {"start": 1890.16, "end": 1890.4, "word": " X", "probability": 0.53125}, {"start": 1890.4, "end": 1890.94, "word": " وحط", "probability": 0.7872721354166666}, {"start": 1890.94, "end": 1892.0, "word": " انفينيتي", "probability": 0.6720458984375}, {"start": 1892.0, "end": 1893.16, "word": " ونشيل", "probability": 0.74420166015625}, {"start": 1893.16, "end": 1893.3, "word": " ال", "probability": 0.87158203125}, {"start": 1893.3, "end": 1893.56, "word": " X", "probability": 0.98388671875}, {"start": 1893.56, "end": 1894.02, "word": " التاني", "probability": 0.8313802083333334}, {"start": 1894.02, "end": 1894.62, "word": " ونحط", "probability": 0.9676513671875}, {"start": 1894.62, "end": 1895.4, "word": " انفينيتي", "probability": 0.86025390625}, {"start": 1895.4, "end": 1895.8, "word": " اتنين", "probability": 0.8770751953125}, {"start": 1895.8, "end": 1896.02, "word": " على", "probability": 0.43017578125}, {"start": 1896.02, "end": 1896.76, "word": " انفينيتي", "probability": 0.96201171875}, {"start": 1896.76, "end": 1897.84, "word": " بزيرو", "probability": 0.76025390625}, {"start": 1897.84, "end": 1898.52, "word": " تان", "probability": 0.4853515625}, {"start": 1898.52, "end": 1899.24, "word": " انفرز", "probability": 0.7572021484375}, {"start": 1899.24, "end": 1900.04, "word": " زيرو", "probability": 0.8927408854166666}, {"start": 1900.04, "end": 1901.14, "word": " بزيرو", "probability": 0.9737548828125}, {"start": 1901.14, "end": 1901.76, "word": " يبقى", "probability": 0.906005859375}, {"start": 1901.76, "end": 1902.6, "word": " انفينيتي", "probability": 0.96181640625}, {"start": 1902.6, "end": 1903.76, "word": " بزيرو", "probability": 0.9798583984375}, {"start": 1903.76, "end": 1904.1, "word": " هي", "probability": 0.70068359375}, {"start": 1904.1, "end": 1905.02, "word": " الحالة", "probability": 0.9611002604166666}, {"start": 1905.02, "end": 1905.74, "word": " الثانية", "probability": 0.9205322265625}, {"start": 1905.74, "end": 1906.36, "word": " يوم", "probability": 0.965087890625}, {"start": 1906.36, "end": 1906.52, "word": " ما", "probability": 0.76318359375}, {"start": 1906.52, "end": 1906.9, "word": " درسنا", "probability": 0.9364013671875}, {"start": 1906.9, "end": 1907.04, "word": " ال", "probability": 0.71630859375}, {"start": 1907.04, "end": 1907.38, "word": " section", "probability": 0.48095703125}, {"start": 1907.38, "end": 1908.1, "word": " اللي", "probability": 0.8291015625}, {"start": 1908.1, "end": 1908.4, "word": " فيه", "probability": 0.939453125}, {"start": 1908.4, "end": 1909.12, "word": " قاعدات", "probability": 0.9136962890625}, {"start": 1909.12, "end": 1909.62, "word": " نوبة", "probability": 0.4055989583333333}], "temperature": 1.0}, {"id": 86, "seek": 193055, "start": 1909.93, "end": 1930.55, "text": "يبقى نحوّر هذه المسألة بحيث نحوّلها إلى 0 على 0 أو infinity على infinity يبقى هذه ال limit لما ال x tends to infinity لمين لتان inverse اتنين على x على واحد على x", "tokens": [1829, 3555, 4587, 7578, 8717, 5016, 2407, 11703, 2288, 29538, 9673, 3794, 10721, 37977, 4724, 5016, 1829, 12984, 8717, 5016, 2407, 11703, 1211, 11296, 30731, 1958, 15844, 1958, 34051, 13202, 15844, 13202, 7251, 3555, 4587, 7578, 29538, 2423, 4948, 5296, 15042, 2423, 2031, 12258, 281, 13202, 32767, 9957, 5296, 2655, 7649, 17340, 1975, 2655, 1863, 9957, 15844, 2031, 15844, 36764, 24401, 15844, 2031], "avg_logprob": -0.259765631519258, "compression_ratio": 1.609271523178808, "no_speech_prob": 0.0, "words": [{"start": 1909.93, "end": 1910.45, "word": "يبقى", "probability": 0.5733642578125}, {"start": 1910.45, "end": 1911.55, "word": " نحوّر", "probability": 0.65810546875}, {"start": 1911.55, "end": 1912.05, "word": " هذه", "probability": 0.8984375}, {"start": 1912.05, "end": 1913.23, "word": " المسألة", "probability": 0.9603271484375}, {"start": 1913.23, "end": 1914.03, "word": " بحيث", "probability": 0.8388671875}, {"start": 1914.03, "end": 1914.89, "word": " نحوّلها", "probability": 0.8671061197916666}, {"start": 1914.89, "end": 1915.27, "word": " إلى", "probability": 0.806640625}, {"start": 1915.27, "end": 1915.93, "word": " 0", "probability": 0.338623046875}, {"start": 1915.93, "end": 1916.27, "word": " على", "probability": 0.63818359375}, {"start": 1916.27, "end": 1916.63, "word": " 0", "probability": 0.96826171875}, {"start": 1916.63, "end": 1917.19, "word": " أو", "probability": 0.75439453125}, {"start": 1917.19, "end": 1918.13, "word": " infinity", "probability": 0.69482421875}, {"start": 1918.13, "end": 1918.65, "word": " على", "probability": 0.87060546875}, {"start": 1918.65, "end": 1919.41, "word": " infinity", "probability": 0.86669921875}, {"start": 1919.41, "end": 1920.35, "word": " يبقى", "probability": 0.9134521484375}, {"start": 1920.35, "end": 1920.61, "word": " هذه", "probability": 0.7958984375}, {"start": 1920.61, "end": 1920.81, "word": " ال", "probability": 0.52099609375}, {"start": 1920.81, "end": 1921.19, "word": " limit", "probability": 0.658203125}, {"start": 1921.19, "end": 1921.67, "word": " لما", "probability": 0.83154296875}, {"start": 1921.67, "end": 1921.83, "word": " ال", "probability": 0.79052734375}, {"start": 1921.83, "end": 1922.09, "word": " x", "probability": 0.477783203125}, {"start": 1922.09, "end": 1922.45, "word": " tends", "probability": 0.6484375}, {"start": 1922.45, "end": 1922.67, "word": " to", "probability": 0.87158203125}, {"start": 1922.67, "end": 1923.41, "word": " infinity", "probability": 0.8974609375}, {"start": 1923.41, "end": 1924.49, "word": " لمين", "probability": 0.6866455078125}, {"start": 1924.49, "end": 1925.55, "word": " لتان", "probability": 0.8053385416666666}, {"start": 1925.55, "end": 1926.53, "word": " inverse", "probability": 0.87744140625}, {"start": 1926.53, "end": 1927.83, "word": " اتنين", "probability": 0.9090576171875}, {"start": 1927.83, "end": 1928.35, "word": " على", "probability": 0.79541015625}, {"start": 1928.35, "end": 1928.83, "word": " x", "probability": 0.68994140625}, {"start": 1928.83, "end": 1929.51, "word": " على", "probability": 0.76123046875}, {"start": 1929.51, "end": 1929.97, "word": " واحد", "probability": 0.969970703125}, {"start": 1929.97, "end": 1930.21, "word": " على", "probability": 0.8271484375}, {"start": 1930.21, "end": 1930.55, "word": " x", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 87, "seek": 195095, "start": 1931.21, "end": 1950.95, "text": "هذه حولت للمثال لمين؟ واحد عمل نهاية بالزيرو و واحد عمل نهاية بالزيرو والتاني عمل نهاية بالزيرو يبقى صفر زيرو على زيرو مبام زيرو على زيرو إذا بقدر أستخدم قاعدة Logical يبقى هذا الكلام يسوي ال limit لما ال X tends to infinity", "tokens": [3224, 24192, 11331, 12610, 2655, 5296, 19528, 12984, 6027, 32767, 9957, 22807, 36764, 24401, 6225, 42213, 8717, 11296, 10632, 20666, 11622, 13546, 2407, 4032, 36764, 24401, 6225, 42213, 8717, 11296, 10632, 20666, 11622, 13546, 2407, 16070, 2655, 7649, 1829, 6225, 42213, 8717, 11296, 10632, 20666, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 20328, 5172, 2288, 30767, 13546, 2407, 15844, 30767, 13546, 2407, 3714, 3555, 10943, 30767, 13546, 2407, 15844, 30767, 13546, 2407, 11933, 15730, 4724, 28543, 2288, 5551, 14851, 9778, 40448, 12174, 995, 22488, 3660, 10824, 804, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 45865, 2423, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202], "avg_logprob": -0.3512731569784659, "compression_ratio": 1.899497487437186, "no_speech_prob": 0.0, "words": [{"start": 1931.21, "end": 1931.63, "word": "هذه", "probability": 0.650146484375}, {"start": 1931.63, "end": 1932.31, "word": " حولت", "probability": 0.7086588541666666}, {"start": 1932.31, "end": 1932.87, "word": " للمثال", "probability": 0.64630126953125}, {"start": 1932.87, "end": 1934.01, "word": " لمين؟", "probability": 0.6526692708333334}, {"start": 1934.01, "end": 1934.57, "word": " واحد", "probability": 0.767578125}, {"start": 1934.57, "end": 1934.87, "word": " عمل", "probability": 0.66796875}, {"start": 1934.87, "end": 1935.43, "word": " نهاية", "probability": 0.640380859375}, {"start": 1935.43, "end": 1935.95, "word": " بالزيرو", "probability": 0.5120849609375}, {"start": 1935.95, "end": 1936.17, "word": " و", "probability": 0.49951171875}, {"start": 1936.17, "end": 1936.43, "word": " واحد", "probability": 0.60174560546875}, {"start": 1936.43, "end": 1936.73, "word": " عمل", "probability": 0.9580078125}, {"start": 1936.73, "end": 1937.05, "word": " نهاية", "probability": 0.9212239583333334}, {"start": 1937.05, "end": 1937.41, "word": " بالزيرو", "probability": 0.9739990234375}, {"start": 1937.41, "end": 1937.81, "word": " والتاني", "probability": 0.597900390625}, {"start": 1937.81, "end": 1938.01, "word": " عمل", "probability": 0.6630859375}, {"start": 1938.01, "end": 1938.01, "word": " نهاية", "probability": 0.94921875}, {"start": 1938.01, "end": 1938.43, "word": " بالزيرو", "probability": 0.9666748046875}, {"start": 1938.43, "end": 1938.71, "word": " يبقى", "probability": 0.7611083984375}, {"start": 1938.71, "end": 1939.03, "word": " صفر", "probability": 0.4925130208333333}, {"start": 1939.03, "end": 1939.65, "word": " زيرو", "probability": 0.7212727864583334}, {"start": 1939.65, "end": 1939.85, "word": " على", "probability": 0.85400390625}, {"start": 1939.85, "end": 1940.39, "word": " زيرو", "probability": 0.97216796875}, {"start": 1940.39, "end": 1941.13, "word": " مبام", "probability": 0.7281901041666666}, {"start": 1941.13, "end": 1941.53, "word": " زيرو", "probability": 0.8689778645833334}, {"start": 1941.53, "end": 1941.69, "word": " على", "probability": 0.89697265625}, {"start": 1941.69, "end": 1942.03, "word": " زيرو", "probability": 0.9842122395833334}, {"start": 1942.03, "end": 1942.23, "word": " إذا", "probability": 0.6494140625}, {"start": 1942.23, "end": 1942.59, "word": " بقدر", "probability": 0.77978515625}, {"start": 1942.59, "end": 1943.21, "word": " أستخدم", "probability": 0.77520751953125}, {"start": 1943.21, "end": 1944.53, "word": " قاعدة", "probability": 0.98291015625}, {"start": 1944.53, "end": 1945.19, "word": " Logical", "probability": 0.43988037109375}, {"start": 1945.19, "end": 1946.09, "word": " يبقى", "probability": 0.96875}, {"start": 1946.09, "end": 1946.37, "word": " هذا", "probability": 0.8916015625}, {"start": 1946.37, "end": 1946.83, "word": " الكلام", "probability": 0.94287109375}, {"start": 1946.83, "end": 1947.55, "word": " يسوي", "probability": 0.4087727864583333}, {"start": 1947.55, "end": 1947.71, "word": " ال", "probability": 0.58984375}, {"start": 1947.71, "end": 1948.17, "word": " limit", "probability": 0.8662109375}, {"start": 1948.17, "end": 1949.21, "word": " لما", "probability": 0.768798828125}, {"start": 1949.21, "end": 1949.39, "word": " ال", "probability": 0.77880859375}, {"start": 1949.39, "end": 1949.75, "word": " X", "probability": 0.66796875}, {"start": 1949.75, "end": 1950.11, "word": " tends", "probability": 0.35400390625}, {"start": 1950.11, "end": 1950.33, "word": " to", "probability": 0.9287109375}, {"start": 1950.33, "end": 1950.95, "word": " infinity", "probability": 0.78076171875}], "temperature": 1.0}, {"id": 88, "seek": 198001, "start": 1951.39, "end": 1980.01, "text": "مشتقة البسط على مشتقة المقام مشتقة ال turn inverse أخدناها قبل قليل يبقى واحد على واحد زائد اتنين على اكس لكل تربيع في مشتقة الزاوية اتنين مالكش دعوة مشتقة واحد اكس بسالب واحد على اكس تربيع يبقى هي عندك الاتنين في سالب واحد على اكس تربيع", "tokens": [2304, 8592, 2655, 28671, 29739, 3794, 9566, 15844, 37893, 2655, 28671, 9673, 4587, 10943, 37893, 2655, 28671, 2423, 1261, 17340, 5551, 9778, 3215, 8315, 11296, 12174, 36150, 12174, 20292, 1211, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 15844, 1975, 4117, 3794, 5296, 28820, 6055, 2288, 21292, 3615, 8978, 37893, 2655, 28671, 6024, 110, 995, 2407, 10632, 1975, 2655, 1863, 9957, 3714, 6027, 4117, 8592, 11778, 3615, 2407, 3660, 37893, 2655, 28671, 36764, 24401, 1975, 4117, 3794, 4724, 3794, 6027, 3555, 36764, 24401, 15844, 1975, 4117, 3794, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 39896, 43242, 4117, 2423, 9307, 1863, 9957, 8978, 8608, 6027, 3555, 36764, 24401, 15844, 1975, 4117, 3794, 6055, 2288, 21292, 3615], "avg_logprob": -0.14362500715255738, "compression_ratio": 2.2, "no_speech_prob": 0.0, "words": [{"start": 1951.39, "end": 1952.21, "word": "مشتقة", "probability": 0.8587646484375}, {"start": 1952.21, "end": 1952.77, "word": " البسط", "probability": 0.607666015625}, {"start": 1952.77, "end": 1952.95, "word": " على", "probability": 0.4755859375}, {"start": 1952.95, "end": 1953.57, "word": " مشتقة", "probability": 0.92236328125}, {"start": 1953.57, "end": 1954.19, "word": " المقام", "probability": 0.9876302083333334}, {"start": 1954.19, "end": 1955.17, "word": " مشتقة", "probability": 0.8994140625}, {"start": 1955.17, "end": 1955.41, "word": " ال", "probability": 0.6416015625}, {"start": 1955.41, "end": 1955.61, "word": " turn", "probability": 0.343505859375}, {"start": 1955.61, "end": 1956.05, "word": " inverse", "probability": 0.8212890625}, {"start": 1956.05, "end": 1956.73, "word": " أخدناها", "probability": 0.7798095703125}, {"start": 1956.73, "end": 1957.17, "word": " قبل", "probability": 0.990478515625}, {"start": 1957.17, "end": 1958.05, "word": " قليل", "probability": 0.982421875}, {"start": 1958.05, "end": 1958.93, "word": " يبقى", "probability": 0.96533203125}, {"start": 1958.93, "end": 1959.73, "word": " واحد", "probability": 0.8720703125}, {"start": 1959.73, "end": 1960.43, "word": " على", "probability": 0.810546875}, {"start": 1960.43, "end": 1961.25, "word": " واحد", "probability": 0.97705078125}, {"start": 1961.25, "end": 1962.23, "word": " زائد", "probability": 0.9222005208333334}, {"start": 1962.23, "end": 1962.91, "word": " اتنين", "probability": 0.9437255859375}, {"start": 1962.91, "end": 1963.41, "word": " على", "probability": 0.85986328125}, {"start": 1963.41, "end": 1964.01, "word": " اكس", "probability": 0.757568359375}, {"start": 1964.01, "end": 1964.81, "word": " لكل", "probability": 0.798095703125}, {"start": 1964.81, "end": 1965.89, "word": " تربيع", "probability": 0.9134521484375}, {"start": 1965.89, "end": 1966.51, "word": " في", "probability": 0.93115234375}, {"start": 1966.51, "end": 1967.39, "word": " مشتقة", "probability": 0.9803059895833334}, {"start": 1967.39, "end": 1968.13, "word": " الزاوية", "probability": 0.96630859375}, {"start": 1968.13, "end": 1968.63, "word": " اتنين", "probability": 0.9290771484375}, {"start": 1968.63, "end": 1969.09, "word": " مالكش", "probability": 0.8472900390625}, {"start": 1969.09, "end": 1969.55, "word": " دعوة", "probability": 0.9754638671875}, {"start": 1969.55, "end": 1970.35, "word": " مشتقة", "probability": 0.8984375}, {"start": 1970.35, "end": 1970.69, "word": " واحد", "probability": 0.988525390625}, {"start": 1970.69, "end": 1970.99, "word": " اكس", "probability": 0.91796875}, {"start": 1970.99, "end": 1972.01, "word": " بسالب", "probability": 0.7313232421875}, {"start": 1972.01, "end": 1972.65, "word": " واحد", "probability": 0.955322265625}, {"start": 1972.65, "end": 1972.97, "word": " على", "probability": 0.830078125}, {"start": 1972.97, "end": 1973.39, "word": " اكس", "probability": 0.9757486979166666}, {"start": 1973.39, "end": 1973.87, "word": " تربيع", "probability": 0.8868408203125}, {"start": 1973.87, "end": 1974.75, "word": " يبقى", "probability": 0.988037109375}, {"start": 1974.75, "end": 1975.01, "word": " هي", "probability": 0.4951171875}, {"start": 1975.01, "end": 1975.59, "word": " عندك", "probability": 0.975341796875}, {"start": 1975.59, "end": 1976.53, "word": " الاتنين", "probability": 0.78375244140625}, {"start": 1976.53, "end": 1977.03, "word": " في", "probability": 0.7685546875}, {"start": 1977.03, "end": 1977.63, "word": " سالب", "probability": 0.9508463541666666}, {"start": 1977.63, "end": 1978.31, "word": " واحد", "probability": 0.9892578125}, {"start": 1978.31, "end": 1979.07, "word": " على", "probability": 0.91796875}, {"start": 1979.07, "end": 1979.49, "word": " اكس", "probability": 0.98193359375}, {"start": 1979.49, "end": 1980.01, "word": " تربيع", "probability": 0.9298095703125}], "temperature": 1.0}, {"id": 89, "seek": 200600, "start": 1980.26, "end": 2006.0, "text": "على مشتقة المقام كمان اللي بسالب واحد على X تربيع نختصر هذا المقدار مع هذا المقدار وبالتالي بتقول المسألة إلى اتنين برا ال limit وهي limit لما ال X tends to infinity بقى عندنا فقط واحد على واحد زيدي اتنين على X لكل تربيع", "tokens": [3615, 23942, 37893, 2655, 28671, 9673, 4587, 10943, 9122, 2304, 7649, 13672, 1829, 4724, 3794, 6027, 3555, 36764, 24401, 15844, 1783, 6055, 2288, 21292, 3615, 8717, 46456, 9381, 2288, 23758, 9673, 28543, 9640, 20449, 23758, 9673, 28543, 9640, 46599, 6027, 2655, 6027, 1829, 39894, 39648, 9673, 3794, 10721, 37977, 30731, 1975, 2655, 1863, 9957, 4724, 23557, 2423, 4948, 37037, 1829, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 4724, 4587, 7578, 43242, 8315, 6156, 47432, 36764, 24401, 15844, 36764, 24401, 30767, 1829, 16254, 1975, 2655, 1863, 9957, 15844, 1783, 5296, 28820, 6055, 2288, 21292, 3615], "avg_logprob": -0.1775716214130322, "compression_ratio": 1.7488151658767772, "no_speech_prob": 0.0, "words": [{"start": 1980.26, "end": 1980.78, "word": "على", "probability": 0.81396484375}, {"start": 1980.78, "end": 1981.46, "word": " مشتقة", "probability": 0.7245279947916666}, {"start": 1981.46, "end": 1982.18, "word": " المقام", "probability": 0.9825846354166666}, {"start": 1982.18, "end": 1982.78, "word": " كمان", "probability": 0.7378336588541666}, {"start": 1982.78, "end": 1983.22, "word": " اللي", "probability": 0.62646484375}, {"start": 1983.22, "end": 1983.92, "word": " بسالب", "probability": 0.639739990234375}, {"start": 1983.92, "end": 1984.54, "word": " واحد", "probability": 0.91748046875}, {"start": 1984.54, "end": 1984.96, "word": " على", "probability": 0.76318359375}, {"start": 1984.96, "end": 1985.2, "word": " X", "probability": 0.4111328125}, {"start": 1985.2, "end": 1985.72, "word": " تربيع", "probability": 0.814208984375}, {"start": 1985.72, "end": 1987.88, "word": " نختصر", "probability": 0.9541015625}, {"start": 1987.88, "end": 1988.56, "word": " هذا", "probability": 0.83154296875}, {"start": 1988.56, "end": 1989.12, "word": " المقدار", "probability": 0.90185546875}, {"start": 1989.12, "end": 1989.28, "word": " مع", "probability": 0.98388671875}, {"start": 1989.28, "end": 1989.56, "word": " هذا", "probability": 0.9814453125}, {"start": 1989.56, "end": 1990.28, "word": " المقدار", "probability": 0.9807942708333334}, {"start": 1990.28, "end": 1991.2, "word": " وبالتالي", "probability": 0.93994140625}, {"start": 1991.2, "end": 1991.72, "word": " بتقول", "probability": 0.91015625}, {"start": 1991.72, "end": 1992.46, "word": " المسألة", "probability": 0.9432373046875}, {"start": 1992.46, "end": 1992.78, "word": " إلى", "probability": 0.5078125}, {"start": 1992.78, "end": 1993.42, "word": " اتنين", "probability": 0.9013671875}, {"start": 1993.42, "end": 1993.94, "word": " برا", "probability": 0.897705078125}, {"start": 1993.94, "end": 1994.1, "word": " ال", "probability": 0.86328125}, {"start": 1994.1, "end": 1994.48, "word": " limit", "probability": 0.904296875}, {"start": 1994.48, "end": 1995.38, "word": " وهي", "probability": 0.7275390625}, {"start": 1995.38, "end": 1995.84, "word": " limit", "probability": 0.95263671875}, {"start": 1995.84, "end": 1996.18, "word": " لما", "probability": 0.869140625}, {"start": 1996.18, "end": 1996.34, "word": " ال", "probability": 0.83203125}, {"start": 1996.34, "end": 1996.58, "word": " X", "probability": 0.8369140625}, {"start": 1996.58, "end": 1996.9, "word": " tends", "probability": 0.80078125}, {"start": 1996.9, "end": 1997.14, "word": " to", "probability": 0.92333984375}, {"start": 1997.14, "end": 1997.84, "word": " infinity", "probability": 0.85107421875}, {"start": 1997.84, "end": 1998.86, "word": " بقى", "probability": 0.7916666666666666}, {"start": 1998.86, "end": 1999.38, "word": " عندنا", "probability": 0.9775390625}, {"start": 1999.38, "end": 1999.86, "word": " فقط", "probability": 0.986572265625}, {"start": 1999.86, "end": 2000.52, "word": " واحد", "probability": 0.97119140625}, {"start": 2000.52, "end": 2001.06, "word": " على", "probability": 0.8427734375}, {"start": 2001.06, "end": 2001.78, "word": " واحد", "probability": 0.9794921875}, {"start": 2001.78, "end": 2002.56, "word": " زيدي", "probability": 0.82958984375}, {"start": 2002.56, "end": 2003.06, "word": " اتنين", "probability": 0.9832763671875}, {"start": 2003.06, "end": 2003.36, "word": " على", "probability": 0.875}, {"start": 2003.36, "end": 2003.76, "word": " X", "probability": 0.94921875}, {"start": 2003.76, "end": 2004.6, "word": " لكل", "probability": 0.6722412109375}, {"start": 2004.6, "end": 2006.0, "word": " تربيع", "probability": 0.9664306640625}], "temperature": 1.0}, {"id": 90, "seek": 202145, "start": 2006.89, "end": 2021.45, "text": "طب العامة التعريض مباشر عدد على مالة نهاية ب zero بضال جداش واحد على واحد اللي هو بواحد يبقى الجواب اتنين في واحد ويساوي اتنين قيمة هذه ال limit", "tokens": [9566, 3555, 18863, 10943, 3660, 16712, 3615, 16572, 11242, 3714, 3555, 33599, 2288, 6225, 3215, 3215, 15844, 3714, 6027, 3660, 8717, 11296, 10632, 4724, 4018, 4724, 11242, 6027, 10874, 3215, 33599, 36764, 24401, 15844, 36764, 24401, 13672, 1829, 31439, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 1975, 2655, 1863, 9957, 8978, 36764, 24401, 4032, 1829, 3794, 995, 45865, 1975, 2655, 1863, 9957, 12174, 32640, 3660, 29538, 2423, 4948], "avg_logprob": -0.20670572999450895, "compression_ratio": 1.6405228758169934, "no_speech_prob": 0.0, "words": [{"start": 2006.89, "end": 2007.15, "word": "طب", "probability": 0.55328369140625}, {"start": 2007.15, "end": 2007.53, "word": " العامة", "probability": 0.7796223958333334}, {"start": 2007.53, "end": 2007.97, "word": " التعريض", "probability": 0.6219482421875}, {"start": 2007.97, "end": 2008.53, "word": " مباشر", "probability": 0.923095703125}, {"start": 2008.53, "end": 2008.91, "word": " عدد", "probability": 0.8919270833333334}, {"start": 2008.91, "end": 2009.07, "word": " على", "probability": 0.69091796875}, {"start": 2009.07, "end": 2009.41, "word": " مالة", "probability": 0.6551920572916666}, {"start": 2009.41, "end": 2009.83, "word": " نهاية", "probability": 0.9537760416666666}, {"start": 2009.83, "end": 2009.95, "word": " ب", "probability": 0.53271484375}, {"start": 2009.95, "end": 2010.15, "word": " zero", "probability": 0.205322265625}, {"start": 2010.15, "end": 2010.49, "word": " بضال", "probability": 0.73486328125}, {"start": 2010.49, "end": 2011.21, "word": " جداش", "probability": 0.79931640625}, {"start": 2011.21, "end": 2012.15, "word": " واحد", "probability": 0.8154296875}, {"start": 2012.15, "end": 2012.35, "word": " على", "probability": 0.626953125}, {"start": 2012.35, "end": 2012.79, "word": " واحد", "probability": 0.98779296875}, {"start": 2012.79, "end": 2012.91, "word": " اللي", "probability": 0.88232421875}, {"start": 2012.91, "end": 2013.01, "word": " هو", "probability": 0.98046875}, {"start": 2013.01, "end": 2013.51, "word": " بواحد", "probability": 0.8732096354166666}, {"start": 2013.51, "end": 2014.41, "word": " يبقى", "probability": 0.9024658203125}, {"start": 2014.41, "end": 2015.01, "word": " الجواب", "probability": 0.9734700520833334}, {"start": 2015.01, "end": 2015.93, "word": " اتنين", "probability": 0.9422607421875}, {"start": 2015.93, "end": 2016.37, "word": " في", "probability": 0.9287109375}, {"start": 2016.37, "end": 2017.15, "word": " واحد", "probability": 0.990234375}, {"start": 2017.15, "end": 2018.35, "word": " ويساوي", "probability": 0.9017578125}, {"start": 2018.35, "end": 2019.01, "word": " اتنين", "probability": 0.9815673828125}, {"start": 2019.01, "end": 2019.85, "word": " قيمة", "probability": 0.97119140625}, {"start": 2019.85, "end": 2020.37, "word": " هذه", "probability": 0.95703125}, {"start": 2020.37, "end": 2021.05, "word": " ال", "probability": 0.8779296875}, {"start": 2021.05, "end": 2021.45, "word": " limit", "probability": 0.92919921875}], "temperature": 1.0}, {"id": 91, "seek": 205281, "start": 2023.21, "end": 2052.81, "text": "طيب نجي ناخد هذا نمرة واحد وناخد نمرة اتنين بدنا ال limit لما ال X بدها تروح لل zero من جهة اليمين لل sign inverse X تربية على ال sign inverse X لكل تربية تعالى نعود طريقة مباشرة Zero تربية ب Zero ال sign inverse Zero جداش", "tokens": [9566, 1829, 3555, 8717, 7435, 1829, 8717, 47283, 3215, 23758, 8717, 2304, 25720, 36764, 24401, 4032, 1863, 47283, 3215, 8717, 2304, 25720, 1975, 2655, 1863, 9957, 47525, 8315, 2423, 4948, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 24976, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 24976, 1465, 17340, 1783, 6055, 2288, 21292, 3660, 15844, 2423, 1465, 17340, 1783, 5296, 28820, 6055, 2288, 21292, 3660, 37279, 6027, 7578, 8717, 3615, 23328, 23032, 16572, 28671, 3714, 3555, 33599, 25720, 17182, 6055, 2288, 21292, 3660, 4724, 17182, 2423, 1465, 17340, 17182, 10874, 3215, 33599], "avg_logprob": -0.30197369613145525, "compression_ratio": 1.7947368421052632, "no_speech_prob": 0.0, "words": [{"start": 2023.21, "end": 2023.81, "word": "طيب", "probability": 0.6659342447916666}, {"start": 2023.81, "end": 2024.25, "word": " نجي", "probability": 0.5719807942708334}, {"start": 2024.25, "end": 2024.75, "word": " ناخد", "probability": 0.9578450520833334}, {"start": 2024.75, "end": 2025.41, "word": " هذا", "probability": 0.732421875}, {"start": 2025.41, "end": 2025.81, "word": " نمرة", "probability": 0.7810872395833334}, {"start": 2025.81, "end": 2026.35, "word": " واحد", "probability": 0.957275390625}, {"start": 2026.35, "end": 2027.03, "word": " وناخد", "probability": 0.739013671875}, {"start": 2027.03, "end": 2027.67, "word": " نمرة", "probability": 0.9388020833333334}, {"start": 2027.67, "end": 2028.61, "word": " اتنين", "probability": 0.9166259765625}, {"start": 2028.61, "end": 2029.57, "word": " بدنا", "probability": 0.6292724609375}, {"start": 2029.57, "end": 2029.75, "word": " ال", "probability": 0.468505859375}, {"start": 2029.75, "end": 2030.17, "word": " limit", "probability": 0.8837890625}, {"start": 2030.17, "end": 2030.97, "word": " لما", "probability": 0.869873046875}, {"start": 2030.97, "end": 2031.15, "word": " ال", "probability": 0.896484375}, {"start": 2031.15, "end": 2031.45, "word": " X", "probability": 0.52734375}, {"start": 2031.45, "end": 2031.87, "word": " بدها", "probability": 0.875}, {"start": 2031.87, "end": 2032.27, "word": " تروح", "probability": 0.9684244791666666}, {"start": 2032.27, "end": 2032.53, "word": " لل", "probability": 0.419921875}, {"start": 2032.53, "end": 2032.81, "word": " zero", "probability": 0.45654296875}, {"start": 2032.81, "end": 2033.07, "word": " من", "probability": 0.98876953125}, {"start": 2033.07, "end": 2033.53, "word": " جهة", "probability": 0.9318033854166666}, {"start": 2033.53, "end": 2034.27, "word": " اليمين", "probability": 0.884765625}, {"start": 2034.27, "end": 2035.19, "word": " لل", "probability": 0.568359375}, {"start": 2035.19, "end": 2035.77, "word": " sign", "probability": 0.50244140625}, {"start": 2035.77, "end": 2036.67, "word": " inverse", "probability": 0.92138671875}, {"start": 2036.67, "end": 2037.27, "word": " X", "probability": 0.830078125}, {"start": 2037.27, "end": 2038.09, "word": " تربية", "probability": 0.716064453125}, {"start": 2038.09, "end": 2038.95, "word": " على", "probability": 0.77490234375}, {"start": 2038.95, "end": 2039.29, "word": " ال", "probability": 0.4677734375}, {"start": 2039.29, "end": 2039.65, "word": " sign", "probability": 0.798828125}, {"start": 2039.65, "end": 2040.57, "word": " inverse", "probability": 0.9365234375}, {"start": 2040.57, "end": 2041.11, "word": " X", "probability": 0.9765625}, {"start": 2041.11, "end": 2041.91, "word": " لكل", "probability": 0.81396484375}, {"start": 2041.91, "end": 2043.21, "word": " تربية", "probability": 0.8970947265625}, {"start": 2043.21, "end": 2046.01, "word": " تعالى", "probability": 0.6359049479166666}, {"start": 2046.01, "end": 2046.31, "word": " نعود", "probability": 0.8616536458333334}, {"start": 2046.31, "end": 2046.71, "word": " طريقة", "probability": 0.6573893229166666}, {"start": 2046.71, "end": 2047.35, "word": " مباشرة", "probability": 0.9892578125}, {"start": 2047.35, "end": 2048.71, "word": " Zero", "probability": 0.444091796875}, {"start": 2048.71, "end": 2049.29, "word": " تربية", "probability": 0.921875}, {"start": 2049.29, "end": 2049.45, "word": " ب", "probability": 0.85546875}, {"start": 2049.45, "end": 2049.81, "word": " Zero", "probability": 0.515625}, {"start": 2049.81, "end": 2050.03, "word": " ال", "probability": 0.5830078125}, {"start": 2050.03, "end": 2050.37, "word": " sign", "probability": 0.84033203125}, {"start": 2050.37, "end": 2050.97, "word": " inverse", "probability": 0.9345703125}, {"start": 2050.97, "end": 2051.87, "word": " Zero", "probability": 0.6962890625}, {"start": 2051.87, "end": 2052.81, "word": " جداش", "probability": 0.7080891927083334}], "temperature": 1.0}, {"id": 92, "seek": 207451, "start": 2053.89, "end": 2074.51, "text": "ملحنة sign inverse بمربو نقطة الأصل هو الرسم أخدناها في مركز الدول المثلثية بمربو نقطة أولى بمربو نقطة أولى بمربو نقطة أولى بمربو نقطة أولى بمربو نقطة أولى بمربو نقطة أولى بمربو نقطة أولى", "tokens": [2304, 1211, 5016, 1863, 3660, 1465, 17340, 4724, 2304, 25513, 2407, 8717, 47432, 3660, 16247, 36520, 31439, 34892, 38251, 5551, 9778, 3215, 8315, 11296, 8978, 3714, 31747, 11622, 32748, 12610, 9673, 12984, 1211, 12984, 10632, 4724, 2304, 25513, 2407, 8717, 47432, 3660, 5551, 12610, 7578, 4724, 2304, 25513, 2407, 8717, 47432, 3660, 5551, 12610, 7578, 4724, 2304, 25513, 2407, 8717, 47432, 3660, 5551, 12610, 7578, 4724, 2304, 25513, 2407, 8717, 47432, 3660, 5551, 12610, 7578, 4724, 2304, 25513, 2407, 8717, 47432, 3660, 5551, 12610, 7578, 4724, 2304, 25513, 2407, 8717, 47432, 3660, 5551, 12610, 7578, 4724, 2304, 25513, 2407, 8717, 47432, 3660, 5551, 12610, 7578], "avg_logprob": -0.2971698231292221, "compression_ratio": 2.727272727272727, "no_speech_prob": 0.0, "words": [{"start": 2053.89, "end": 2054.49, "word": "ملحنة", "probability": 0.60185546875}, {"start": 2054.49, "end": 2054.69, "word": " sign", "probability": 0.1680908203125}, {"start": 2054.69, "end": 2055.03, "word": " inverse", "probability": 0.81494140625}, {"start": 2055.03, "end": 2055.53, "word": " بمربو", "probability": 0.63519287109375}, {"start": 2055.53, "end": 2055.91, "word": " نقطة", "probability": 0.9641927083333334}, {"start": 2055.91, "end": 2056.55, "word": " الأصل", "probability": 0.83203125}, {"start": 2056.55, "end": 2057.61, "word": " هو", "probability": 0.681640625}, {"start": 2057.61, "end": 2057.95, "word": " الرسم", "probability": 0.8486328125}, {"start": 2057.95, "end": 2058.71, "word": " أخدناها", "probability": 0.809765625}, {"start": 2058.71, "end": 2059.33, "word": " في", "probability": 0.693359375}, {"start": 2059.33, "end": 2059.69, "word": " مركز", "probability": 0.9137369791666666}, {"start": 2059.69, "end": 2060.03, "word": " الدول", "probability": 0.930419921875}, {"start": 2060.03, "end": 2061.09, "word": " المثلثية", "probability": 0.82978515625}, {"start": 2061.09, "end": 2062.17, "word": " بمربو", "probability": 0.773681640625}, {"start": 2062.17, "end": 2062.29, "word": " نقطة", "probability": 0.8512369791666666}, {"start": 2062.29, "end": 2062.29, "word": " أولى", "probability": 0.5515543619791666}, {"start": 2062.29, "end": 2062.45, "word": " بمربو", "probability": 0.5372314453125}, {"start": 2062.45, "end": 2062.45, "word": " نقطة", "probability": 0.9664713541666666}, {"start": 2062.45, "end": 2062.45, "word": " أولى", "probability": 0.8631184895833334}, {"start": 2062.45, "end": 2062.53, "word": " بمربو", "probability": 0.726806640625}, {"start": 2062.53, "end": 2062.53, "word": " نقطة", "probability": 0.9851888020833334}, {"start": 2062.53, "end": 2062.53, "word": " أولى", "probability": 0.9148763020833334}, {"start": 2062.53, "end": 2062.75, "word": " بمربو", "probability": 0.77044677734375}, {"start": 2062.75, "end": 2062.95, "word": " نقطة", "probability": 0.9892578125}, {"start": 2062.95, "end": 2062.95, "word": " أولى", "probability": 0.9615885416666666}, {"start": 2062.95, "end": 2062.95, "word": " بمربو", "probability": 0.79180908203125}, {"start": 2062.95, "end": 2063.03, "word": " نقطة", "probability": 0.9912109375}, {"start": 2063.03, "end": 2064.05, "word": " أولى", "probability": 0.9700520833333334}, {"start": 2064.05, "end": 2065.27, "word": " بمربو", "probability": 0.8033447265625}, {"start": 2065.27, "end": 2065.27, "word": " نقطة", "probability": 0.99169921875}, {"start": 2065.27, "end": 2065.41, "word": " أولى", "probability": 0.97314453125}, {"start": 2065.41, "end": 2073.03, "word": " بمربو", "probability": 0.8157958984375}, {"start": 2073.03, "end": 2073.09, "word": " نقطة", "probability": 0.9923502604166666}, {"start": 2073.09, "end": 2074.51, "word": " أولى", "probability": 0.9762369791666666}], "temperature": 1.0}, {"id": 93, "seek": 209819, "start": 2074.71, "end": 2098.19, "text": "يبقى هذا الكلام limit لما ال X بدي يروح ل Zero من جهة اليمين لمشتقة البسط على مشتقة المقام واحد على الجدري التربيعي لواحد ناقص X تربيع لكل تربيع في مشتقة الزاوية له جداش باتنين X هذا كله البسط", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 4948, 5296, 15042, 2423, 1783, 4724, 16254, 7251, 32887, 5016, 5296, 17182, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 32767, 8592, 2655, 28671, 29739, 3794, 9566, 15844, 37893, 2655, 28671, 9673, 4587, 10943, 36764, 24401, 15844, 25724, 3215, 16572, 16712, 2288, 21292, 3615, 1829, 5296, 14407, 24401, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3615, 5296, 28820, 6055, 2288, 21292, 3615, 8978, 37893, 2655, 28671, 6024, 110, 995, 2407, 10632, 46740, 10874, 3215, 33599, 4724, 9307, 1863, 9957, 1783, 23758, 28242, 3224, 29739, 3794, 9566], "avg_logprob": -0.24572367887747915, "compression_ratio": 1.835164835164835, "no_speech_prob": 0.0, "words": [{"start": 2074.71, "end": 2075.25, "word": "يبقى", "probability": 0.828369140625}, {"start": 2075.25, "end": 2075.51, "word": " هذا", "probability": 0.78271484375}, {"start": 2075.51, "end": 2076.03, "word": " الكلام", "probability": 0.79052734375}, {"start": 2076.03, "end": 2076.65, "word": " limit", "probability": 0.78955078125}, {"start": 2076.65, "end": 2077.41, "word": " لما", "probability": 0.820068359375}, {"start": 2077.41, "end": 2077.61, "word": " ال", "probability": 0.8583984375}, {"start": 2077.61, "end": 2077.89, "word": " X", "probability": 0.52783203125}, {"start": 2077.89, "end": 2078.25, "word": " بدي", "probability": 0.4937744140625}, {"start": 2078.25, "end": 2078.49, "word": " يروح", "probability": 0.6822916666666666}, {"start": 2078.49, "end": 2078.67, "word": " ل", "probability": 0.5244140625}, {"start": 2078.67, "end": 2079.01, "word": " Zero", "probability": 0.200439453125}, {"start": 2079.01, "end": 2079.27, "word": " من", "probability": 0.98583984375}, {"start": 2079.27, "end": 2079.69, "word": " جهة", "probability": 0.9869791666666666}, {"start": 2079.69, "end": 2080.27, "word": " اليمين", "probability": 0.8857421875}, {"start": 2080.27, "end": 2081.41, "word": " لمشتقة", "probability": 0.8758544921875}, {"start": 2081.41, "end": 2081.87, "word": " البسط", "probability": 0.5059407552083334}, {"start": 2081.87, "end": 2082.03, "word": " على", "probability": 0.51025390625}, {"start": 2082.03, "end": 2082.65, "word": " مشتقة", "probability": 0.9173177083333334}, {"start": 2082.65, "end": 2083.17, "word": " المقام", "probability": 0.9695638020833334}, {"start": 2083.17, "end": 2084.17, "word": " واحد", "probability": 0.9052734375}, {"start": 2084.17, "end": 2085.13, "word": " على", "probability": 0.7958984375}, {"start": 2085.13, "end": 2086.31, "word": " الجدري", "probability": 0.7820638020833334}, {"start": 2086.31, "end": 2087.27, "word": " التربيعي", "probability": 0.8955078125}, {"start": 2087.27, "end": 2088.45, "word": " لواحد", "probability": 0.90869140625}, {"start": 2088.45, "end": 2089.51, "word": " ناقص", "probability": 0.935302734375}, {"start": 2089.51, "end": 2089.89, "word": " X", "probability": 0.92041015625}, {"start": 2089.89, "end": 2090.71, "word": " تربيع", "probability": 0.86669921875}, {"start": 2090.71, "end": 2091.17, "word": " لكل", "probability": 0.947265625}, {"start": 2091.17, "end": 2091.91, "word": " تربيع", "probability": 0.88818359375}, {"start": 2091.91, "end": 2092.41, "word": " في", "probability": 0.826171875}, {"start": 2092.41, "end": 2093.17, "word": " مشتقة", "probability": 0.9757486979166666}, {"start": 2093.17, "end": 2093.77, "word": " الزاوية", "probability": 0.94453125}, {"start": 2093.77, "end": 2094.01, "word": " له", "probability": 0.1007080078125}, {"start": 2094.01, "end": 2094.67, "word": " جداش", "probability": 0.720703125}, {"start": 2094.67, "end": 2095.77, "word": " باتنين", "probability": 0.69903564453125}, {"start": 2095.77, "end": 2096.25, "word": " X", "probability": 0.96923828125}, {"start": 2096.25, "end": 2096.99, "word": " هذا", "probability": 0.6484375}, {"start": 2096.99, "end": 2097.69, "word": " كله", "probability": 0.957275390625}, {"start": 2097.69, "end": 2098.19, "word": " البسط", "probability": 0.8404947916666666}], "temperature": 1.0}, {"id": 94, "seek": 211825, "start": 2098.71, "end": 2118.25, "text": "بنجي المقام، المقام قوس و القوس مرفوع لأس يبقى بنجي بنقول الأس في القوس نفسه في مشتقة ما داخل القوس مشتقة ال sign inverse اللي هي واحد على الجدرى التربية لواحد ناقص X تربية", "tokens": [3555, 1863, 7435, 1829, 9673, 4587, 10943, 12399, 9673, 4587, 10943, 12174, 41779, 4032, 25062, 41779, 3714, 28480, 45367, 5296, 10721, 3794, 7251, 3555, 4587, 7578, 44945, 7435, 1829, 44945, 39648, 16247, 3794, 8978, 25062, 41779, 8717, 36178, 3224, 8978, 37893, 2655, 28671, 19446, 11778, 47283, 1211, 25062, 41779, 37893, 2655, 28671, 2423, 1465, 17340, 13672, 1829, 39896, 36764, 24401, 15844, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 5296, 14407, 24401, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632], "avg_logprob": -0.26933593600988387, "compression_ratio": 1.7797619047619047, "no_speech_prob": 0.0, "words": [{"start": 2098.71, "end": 2099.15, "word": "بنجي", "probability": 0.60162353515625}, {"start": 2099.15, "end": 2099.93, "word": " المقام،", "probability": 0.683990478515625}, {"start": 2099.93, "end": 2100.89, "word": " المقام", "probability": 0.9619140625}, {"start": 2100.89, "end": 2101.51, "word": " قوس", "probability": 0.5582275390625}, {"start": 2101.51, "end": 2101.65, "word": " و", "probability": 0.398193359375}, {"start": 2101.65, "end": 2102.03, "word": " القوس", "probability": 0.82421875}, {"start": 2102.03, "end": 2102.57, "word": " مرفوع", "probability": 0.8147786458333334}, {"start": 2102.57, "end": 2103.03, "word": " لأس", "probability": 0.7307942708333334}, {"start": 2103.03, "end": 2103.73, "word": " يبقى", "probability": 0.86962890625}, {"start": 2103.73, "end": 2104.07, "word": " بنجي", "probability": 0.8024088541666666}, {"start": 2104.07, "end": 2104.39, "word": " بنقول", "probability": 0.8935546875}, {"start": 2104.39, "end": 2105.15, "word": " الأس", "probability": 0.88916015625}, {"start": 2105.15, "end": 2105.87, "word": " في", "probability": 0.8125}, {"start": 2105.87, "end": 2106.69, "word": " القوس", "probability": 0.961181640625}, {"start": 2106.69, "end": 2107.83, "word": " نفسه", "probability": 0.9964192708333334}, {"start": 2107.83, "end": 2108.99, "word": " في", "probability": 0.732421875}, {"start": 2108.99, "end": 2109.83, "word": " مشتقة", "probability": 0.9466145833333334}, {"start": 2109.83, "end": 2110.05, "word": " ما", "probability": 0.61865234375}, {"start": 2110.05, "end": 2110.63, "word": " داخل", "probability": 0.9627278645833334}, {"start": 2110.63, "end": 2111.15, "word": " القوس", "probability": 0.9853515625}, {"start": 2111.15, "end": 2112.15, "word": " مشتقة", "probability": 0.8776041666666666}, {"start": 2112.15, "end": 2112.35, "word": " ال", "probability": 0.56787109375}, {"start": 2112.35, "end": 2112.57, "word": " sign", "probability": 0.378662109375}, {"start": 2112.57, "end": 2112.91, "word": " inverse", "probability": 0.890625}, {"start": 2112.91, "end": 2113.19, "word": " اللي", "probability": 0.744140625}, {"start": 2113.19, "end": 2113.33, "word": " هي", "probability": 0.51513671875}, {"start": 2113.33, "end": 2113.93, "word": " واحد", "probability": 0.85693359375}, {"start": 2113.93, "end": 2114.57, "word": " على", "probability": 0.84375}, {"start": 2114.57, "end": 2115.13, "word": " الجدرى", "probability": 0.732177734375}, {"start": 2115.13, "end": 2115.73, "word": " التربية", "probability": 0.8118489583333334}, {"start": 2115.73, "end": 2116.49, "word": " لواحد", "probability": 0.8028971354166666}, {"start": 2116.49, "end": 2117.21, "word": " ناقص", "probability": 0.974609375}, {"start": 2117.21, "end": 2117.65, "word": " X", "probability": 0.525390625}, {"start": 2117.65, "end": 2118.25, "word": " تربية", "probability": 0.84521484375}], "temperature": 1.0}, {"id": 95, "seek": 214550, "start": 2120.46, "end": 2145.5, "text": "هذا الكلام بده يساوي limit لما ال X بده يروح لل zero من جهة اليمين اظن اتنين في البصد و اتنين في المقام هذي مش لازمة ايش بده اللي عنده في البصد هذا هذا بدي اعيد صيارته فبقول واحد على السؤال هو أليس هذا فرق بين المربعين", "tokens": [3224, 15730, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 4948, 5296, 15042, 2423, 1783, 47525, 3224, 7251, 32887, 5016, 24976, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 1975, 19913, 1863, 1975, 2655, 1863, 9957, 8978, 29739, 9381, 3215, 4032, 1975, 2655, 1863, 9957, 8978, 9673, 4587, 10943, 8032, 8848, 1829, 37893, 5296, 31377, 46007, 1975, 1829, 8592, 47525, 3224, 13672, 1829, 43242, 3224, 8978, 29739, 9381, 3215, 23758, 23758, 4724, 16254, 1975, 3615, 25708, 20328, 1829, 9640, 47395, 6156, 3555, 39648, 36764, 24401, 15844, 21136, 33604, 6027, 31439, 5551, 20292, 3794, 23758, 6156, 2288, 4587, 49374, 9673, 25513, 3615, 9957], "avg_logprob": -0.2552584160405856, "compression_ratio": 1.8095238095238095, "no_speech_prob": 0.0, "words": [{"start": 2120.46, "end": 2120.84, "word": "هذا", "probability": 0.85888671875}, {"start": 2120.84, "end": 2121.3, "word": " الكلام", "probability": 0.8992513020833334}, {"start": 2121.3, "end": 2121.68, "word": " بده", "probability": 0.42742919921875}, {"start": 2121.68, "end": 2122.26, "word": " يساوي", "probability": 0.9620361328125}, {"start": 2122.26, "end": 2123.1, "word": " limit", "probability": 0.54248046875}, {"start": 2123.1, "end": 2124.18, "word": " لما", "probability": 0.90478515625}, {"start": 2124.18, "end": 2124.36, "word": " ال", "probability": 0.9091796875}, {"start": 2124.36, "end": 2124.66, "word": " X", "probability": 0.44775390625}, {"start": 2124.66, "end": 2125.16, "word": " بده", "probability": 0.853271484375}, {"start": 2125.16, "end": 2125.4, "word": " يروح", "probability": 0.84130859375}, {"start": 2125.4, "end": 2125.68, "word": " لل", "probability": 0.34521484375}, {"start": 2125.68, "end": 2126.02, "word": " zero", "probability": 0.50537109375}, {"start": 2126.02, "end": 2126.22, "word": " من", "probability": 0.9423828125}, {"start": 2126.22, "end": 2127.78, "word": " جهة", "probability": 0.89404296875}, {"start": 2127.78, "end": 2128.28, "word": " اليمين", "probability": 0.7047526041666666}, {"start": 2128.28, "end": 2129.18, "word": " اظن", "probability": 0.8668619791666666}, {"start": 2129.18, "end": 2129.8, "word": " اتنين", "probability": 0.896240234375}, {"start": 2129.8, "end": 2129.98, "word": " في", "probability": 0.833984375}, {"start": 2129.98, "end": 2130.6, "word": " البصد", "probability": 0.4568684895833333}, {"start": 2130.6, "end": 2131.14, "word": " و", "probability": 0.82763671875}, {"start": 2131.14, "end": 2131.58, "word": " اتنين", "probability": 0.9627685546875}, {"start": 2131.58, "end": 2131.72, "word": " في", "probability": 0.8642578125}, {"start": 2131.72, "end": 2132.28, "word": " المقام", "probability": 0.9794921875}, {"start": 2132.28, "end": 2132.66, "word": " هذي", "probability": 0.482421875}, {"start": 2132.66, "end": 2132.92, "word": " مش", "probability": 0.7763671875}, {"start": 2132.92, "end": 2133.6, "word": " لازمة", "probability": 0.9886067708333334}, {"start": 2133.6, "end": 2134.52, "word": " ايش", "probability": 0.7411295572916666}, {"start": 2134.52, "end": 2134.72, "word": " بده", "probability": 0.6568603515625}, {"start": 2134.72, "end": 2134.86, "word": " اللي", "probability": 0.60467529296875}, {"start": 2134.86, "end": 2135.38, "word": " عنده", "probability": 0.85595703125}, {"start": 2135.38, "end": 2135.68, "word": " في", "probability": 0.4462890625}, {"start": 2135.68, "end": 2136.16, "word": " البصد", "probability": 0.9669596354166666}, {"start": 2136.16, "end": 2136.54, "word": " هذا", "probability": 0.89794921875}, {"start": 2136.54, "end": 2137.2, "word": " هذا", "probability": 0.3994140625}, {"start": 2137.2, "end": 2137.46, "word": " بدي", "probability": 0.6573486328125}, {"start": 2137.46, "end": 2137.98, "word": " اعيد", "probability": 0.93994140625}, {"start": 2137.98, "end": 2138.88, "word": " صيارته", "probability": 0.7930908203125}, {"start": 2138.88, "end": 2139.82, "word": " فبقول", "probability": 0.95361328125}, {"start": 2139.82, "end": 2140.62, "word": " واحد", "probability": 0.987548828125}, {"start": 2140.62, "end": 2141.0, "word": " على", "probability": 0.68994140625}, {"start": 2141.0, "end": 2142.02, "word": " السؤال", "probability": 0.9052734375}, {"start": 2142.02, "end": 2142.38, "word": " هو", "probability": 0.96484375}, {"start": 2142.38, "end": 2143.3, "word": " أليس", "probability": 0.77783203125}, {"start": 2143.3, "end": 2143.64, "word": " هذا", "probability": 0.95703125}, {"start": 2143.64, "end": 2144.14, "word": " فرق", "probability": 0.95263671875}, {"start": 2144.14, "end": 2144.48, "word": " بين", "probability": 0.986328125}, {"start": 2144.48, "end": 2145.5, "word": " المربعين", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 96, "seek": 217454, "start": 2146.3, "end": 2174.54, "text": "يعني بقدر أحلله واحد ناقص X تربية و واحد زائد X تربية كله تحت مين؟ تحت الجذر وبالتالي بقدر أوزع الجذر لكل منهم يعني هذا كأنه الجذر التربية إلى واحد ناقص X تربية في الجذر التربية إلى واحد زائد X تربية هذا الجذر الأول اللي عندنا هذا تمام؟ و فوق ضلت أن هذا الواحد مضروب في X يبقى ب X دغري", "tokens": [40228, 22653, 4724, 28543, 2288, 5551, 5016, 1211, 43761, 36764, 24401, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 4032, 36764, 24401, 30767, 16373, 3215, 1783, 6055, 25513, 10632, 28242, 3224, 6055, 33753, 3714, 9957, 22807, 6055, 33753, 25724, 8848, 2288, 46599, 6027, 2655, 6027, 1829, 4724, 28543, 2288, 5551, 2407, 11622, 3615, 25724, 8848, 2288, 5296, 28820, 9154, 16095, 37495, 22653, 23758, 9122, 33456, 3224, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 36764, 24401, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 8978, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 36764, 24401, 30767, 16373, 3215, 1783, 6055, 25513, 10632, 23758, 25724, 8848, 2288, 16247, 12610, 13672, 1829, 43242, 8315, 23758, 46811, 10943, 22807, 4032, 6156, 30543, 48812, 1211, 2655, 14739, 23758, 2423, 14407, 24401, 3714, 11242, 32887, 3555, 8978, 1783, 7251, 3555, 4587, 7578, 4724, 1783, 11778, 17082, 16572], "avg_logprob": -0.192043440984496, "compression_ratio": 2.3886255924170614, "no_speech_prob": 0.0, "words": [{"start": 2146.3, "end": 2146.7, "word": "يعني", "probability": 0.506622314453125}, {"start": 2146.7, "end": 2147.1, "word": " بقدر", "probability": 0.837890625}, {"start": 2147.1, "end": 2147.64, "word": " أحلله", "probability": 0.76055908203125}, {"start": 2147.64, "end": 2148.1, "word": " واحد", "probability": 0.73876953125}, {"start": 2148.1, "end": 2148.58, "word": " ناقص", "probability": 0.9041748046875}, {"start": 2148.58, "end": 2148.86, "word": " X", "probability": 0.69921875}, {"start": 2148.86, "end": 2149.32, "word": " تربية", "probability": 0.78662109375}, {"start": 2149.32, "end": 2149.8, "word": " و", "probability": 0.671875}, {"start": 2149.8, "end": 2150.12, "word": " واحد", "probability": 0.868896484375}, {"start": 2150.12, "end": 2150.42, "word": " زائد", "probability": 0.7998046875}, {"start": 2150.42, "end": 2150.6, "word": " X", "probability": 0.99072265625}, {"start": 2150.6, "end": 2150.96, "word": " تربية", "probability": 0.9781901041666666}, {"start": 2150.96, "end": 2151.4, "word": " كله", "probability": 0.7685546875}, {"start": 2151.4, "end": 2151.68, "word": " تحت", "probability": 0.986572265625}, {"start": 2151.68, "end": 2152.22, "word": " مين؟", "probability": 0.4817708333333333}, {"start": 2152.22, "end": 2152.98, "word": " تحت", "probability": 0.985595703125}, {"start": 2152.98, "end": 2153.5, "word": " الجذر", "probability": 0.8525390625}, {"start": 2153.5, "end": 2154.22, "word": " وبالتالي", "probability": 0.92236328125}, {"start": 2154.22, "end": 2154.54, "word": " بقدر", "probability": 0.9837239583333334}, {"start": 2154.54, "end": 2154.9, "word": " أوزع", "probability": 0.8917236328125}, {"start": 2154.9, "end": 2155.28, "word": " الجذر", "probability": 0.986328125}, {"start": 2155.28, "end": 2155.84, "word": " لكل", "probability": 0.950439453125}, {"start": 2155.84, "end": 2156.48, "word": " منهم", "probability": 0.775146484375}, {"start": 2156.48, "end": 2157.52, "word": " يعني", "probability": 0.8798828125}, {"start": 2157.52, "end": 2157.94, "word": " هذا", "probability": 0.873046875}, {"start": 2157.94, "end": 2158.74, "word": " كأنه", "probability": 0.8859049479166666}, {"start": 2158.74, "end": 2159.6, "word": " الجذر", "probability": 0.81103515625}, {"start": 2159.6, "end": 2160.3, "word": " التربية", "probability": 0.80078125}, {"start": 2160.3, "end": 2160.56, "word": " إلى", "probability": 0.70751953125}, {"start": 2160.56, "end": 2161.08, "word": " واحد", "probability": 0.991455078125}, {"start": 2161.08, "end": 2161.72, "word": " ناقص", "probability": 0.9886474609375}, {"start": 2161.72, "end": 2162.06, "word": " X", "probability": 0.9951171875}, {"start": 2162.06, "end": 2162.58, "word": " تربية", "probability": 0.9853515625}, {"start": 2162.58, "end": 2163.06, "word": " في", "probability": 0.75341796875}, {"start": 2163.06, "end": 2163.52, "word": " الجذر", "probability": 0.98681640625}, {"start": 2163.52, "end": 2164.1, "word": " التربية", "probability": 0.98876953125}, {"start": 2164.1, "end": 2164.34, "word": " إلى", "probability": 0.923828125}, {"start": 2164.34, "end": 2164.84, "word": " واحد", "probability": 0.993408203125}, {"start": 2164.84, "end": 2165.56, "word": " زائد", "probability": 0.9806315104166666}, {"start": 2165.56, "end": 2165.9, "word": " X", "probability": 0.99755859375}, {"start": 2165.9, "end": 2166.58, "word": " تربية", "probability": 0.9879557291666666}, {"start": 2166.58, "end": 2167.24, "word": " هذا", "probability": 0.91552734375}, {"start": 2167.24, "end": 2167.66, "word": " الجذر", "probability": 0.9801432291666666}, {"start": 2167.66, "end": 2168.18, "word": " الأول", "probability": 0.965087890625}, {"start": 2168.18, "end": 2168.36, "word": " اللي", "probability": 0.918212890625}, {"start": 2168.36, "end": 2168.74, "word": " عندنا", "probability": 0.81005859375}, {"start": 2168.74, "end": 2169.0, "word": " هذا", "probability": 0.56201171875}, {"start": 2169.0, "end": 2170.0, "word": " تمام؟", "probability": 0.6854654947916666}, {"start": 2170.0, "end": 2170.24, "word": " و", "probability": 0.9482421875}, {"start": 2170.24, "end": 2170.6, "word": " فوق", "probability": 0.679931640625}, {"start": 2170.6, "end": 2171.1, "word": " ضلت", "probability": 0.635009765625}, {"start": 2171.1, "end": 2171.38, "word": " أن", "probability": 0.324951171875}, {"start": 2171.38, "end": 2171.7, "word": " هذا", "probability": 0.92724609375}, {"start": 2171.7, "end": 2172.1, "word": " الواحد", "probability": 0.9781901041666666}, {"start": 2172.1, "end": 2172.6, "word": " مضروب", "probability": 0.97021484375}, {"start": 2172.6, "end": 2172.74, "word": " في", "probability": 0.84765625}, {"start": 2172.74, "end": 2173.04, "word": " X", "probability": 0.984375}, {"start": 2173.04, "end": 2173.46, "word": " يبقى", "probability": 0.9718017578125}, {"start": 2173.46, "end": 2173.7, "word": " ب", "probability": 0.5537109375}, {"start": 2173.7, "end": 2174.02, "word": " X", "probability": 0.46923828125}, {"start": 2174.02, "end": 2174.54, "word": " دغري", "probability": 0.62841796875}], "temperature": 1.0}, {"id": 97, "seek": 218198, "start": 2175.0, "end": 2181.98, "text": "يبقى اصبع ان اكس على حاصل ضرب الجدرين هذا من البصر نجل المقام", "tokens": [1829, 3555, 4587, 7578, 1975, 9381, 3555, 3615, 16472, 1975, 4117, 3794, 15844, 11331, 33546, 1211, 48812, 25513, 25724, 3215, 2288, 9957, 23758, 9154, 29739, 9381, 2288, 8717, 7435, 1211, 9673, 4587, 10943], "avg_logprob": -0.34443934963029976, "compression_ratio": 1.2790697674418605, "no_speech_prob": 0.0, "words": [{"start": 2175.0, "end": 2175.56, "word": "يبقى", "probability": 0.689422607421875}, {"start": 2175.56, "end": 2176.14, "word": " اصبع", "probability": 0.67437744140625}, {"start": 2176.14, "end": 2176.42, "word": " ان", "probability": 0.60888671875}, {"start": 2176.42, "end": 2177.04, "word": " اكس", "probability": 0.73583984375}, {"start": 2177.04, "end": 2177.48, "word": " على", "probability": 0.82568359375}, {"start": 2177.48, "end": 2178.16, "word": " حاصل", "probability": 0.9371744791666666}, {"start": 2178.16, "end": 2178.44, "word": " ضرب", "probability": 0.9091796875}, {"start": 2178.44, "end": 2178.98, "word": " الجدرين", "probability": 0.946533203125}, {"start": 2178.98, "end": 2179.28, "word": " هذا", "probability": 0.8203125}, {"start": 2179.28, "end": 2179.64, "word": " من", "probability": 0.84765625}, {"start": 2179.64, "end": 2180.56, "word": " البصر", "probability": 0.517578125}, {"start": 2180.56, "end": 2181.3, "word": " نجل", "probability": 0.6819661458333334}, {"start": 2181.3, "end": 2181.98, "word": " المقام", "probability": 0.9783528645833334}], "temperature": 1.0}, {"id": 98, "seek": 221219, "start": 2184.49, "end": 2212.19, "text": "1 على sin inverse x هذا الجدر يجب ان ينجلب و يطلع فوق يبقى لو انجلب و يطلع فوق يصبح الجدر التربية إلى 1 من ناقص x تربية اظن في اختصارات الجدر هذا و الجدر هذا معاهم مع السلامة اذا آلة ال limit اللي عندنا إلى x بدأت تروح ل zero من جهة اليمين", "tokens": [16, 15844, 3343, 17340, 2031, 23758, 25724, 3215, 2288, 7251, 7435, 3555, 16472, 7251, 1863, 7435, 46152, 4032, 7251, 9566, 1211, 3615, 6156, 30543, 7251, 3555, 4587, 7578, 45164, 16472, 7435, 46152, 4032, 7251, 9566, 1211, 3615, 6156, 30543, 7251, 9381, 49628, 25724, 3215, 2288, 16712, 25513, 10632, 30731, 502, 9154, 8717, 995, 4587, 9381, 2031, 6055, 25513, 10632, 1975, 19913, 1863, 8978, 1975, 46456, 9381, 9640, 9307, 25724, 3215, 2288, 23758, 4032, 25724, 3215, 2288, 23758, 20449, 995, 16095, 20449, 21136, 37440, 3660, 1975, 15730, 19753, 37977, 2423, 4948, 13672, 1829, 43242, 8315, 30731, 2031, 47525, 10721, 2655, 6055, 32887, 5016, 5296, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957], "avg_logprob": -0.3091517934309585, "compression_ratio": 1.8310502283105023, "no_speech_prob": 0.0, "words": [{"start": 2184.49, "end": 2185.37, "word": "1", "probability": 0.1107177734375}, {"start": 2185.37, "end": 2186.25, "word": " على", "probability": 0.22119140625}, {"start": 2186.25, "end": 2187.35, "word": " sin", "probability": 0.43505859375}, {"start": 2187.35, "end": 2188.41, "word": " inverse", "probability": 0.703125}, {"start": 2188.41, "end": 2189.47, "word": " x", "probability": 0.53271484375}, {"start": 2189.47, "end": 2190.43, "word": " هذا", "probability": 0.6806640625}, {"start": 2190.43, "end": 2190.87, "word": " الجدر", "probability": 0.9552408854166666}, {"start": 2190.87, "end": 2191.17, "word": " يجب", "probability": 0.7283528645833334}, {"start": 2191.17, "end": 2191.29, "word": " ان", "probability": 0.410400390625}, {"start": 2191.29, "end": 2191.53, "word": " ينجلب", "probability": 0.51055908203125}, {"start": 2191.53, "end": 2191.75, "word": " و", "probability": 0.8291015625}, {"start": 2191.75, "end": 2191.95, "word": " يطلع", "probability": 0.7381591796875}, {"start": 2191.95, "end": 2193.17, "word": " فوق", "probability": 0.6776123046875}, {"start": 2193.17, "end": 2193.95, "word": " يبقى", "probability": 0.7366943359375}, {"start": 2193.95, "end": 2194.13, "word": " لو", "probability": 0.38525390625}, {"start": 2194.13, "end": 2194.51, "word": " انجلب", "probability": 0.8880208333333334}, {"start": 2194.51, "end": 2194.69, "word": " و", "probability": 0.919921875}, {"start": 2194.69, "end": 2195.03, "word": " يطلع", "probability": 0.86865234375}, {"start": 2195.03, "end": 2195.41, "word": " فوق", "probability": 0.978515625}, {"start": 2195.41, "end": 2195.85, "word": " يصبح", "probability": 0.471923828125}, {"start": 2195.85, "end": 2196.37, "word": " الجدر", "probability": 0.9384765625}, {"start": 2196.37, "end": 2197.01, "word": " التربية", "probability": 0.7583821614583334}, {"start": 2197.01, "end": 2197.25, "word": " إلى", "probability": 0.50830078125}, {"start": 2197.25, "end": 2197.63, "word": " 1", "probability": 0.54296875}, {"start": 2197.63, "end": 2198.15, "word": " من", "probability": 0.69970703125}, {"start": 2198.15, "end": 2199.25, "word": " ناقص", "probability": 0.86474609375}, {"start": 2199.25, "end": 2199.57, "word": " x", "probability": 0.7900390625}, {"start": 2199.57, "end": 2200.01, "word": " تربية", "probability": 0.9000651041666666}, {"start": 2200.01, "end": 2200.75, "word": " اظن", "probability": 0.88818359375}, {"start": 2200.75, "end": 2200.91, "word": " في", "probability": 0.6376953125}, {"start": 2200.91, "end": 2201.69, "word": " اختصارات", "probability": 0.9828125}, {"start": 2201.69, "end": 2202.17, "word": " الجدر", "probability": 0.9441731770833334}, {"start": 2202.17, "end": 2202.45, "word": " هذا", "probability": 0.93115234375}, {"start": 2202.45, "end": 2202.61, "word": " و", "probability": 0.55810546875}, {"start": 2202.61, "end": 2203.03, "word": " الجدر", "probability": 0.9308268229166666}, {"start": 2203.03, "end": 2203.35, "word": " هذا", "probability": 0.97021484375}, {"start": 2203.35, "end": 2203.91, "word": " معاهم", "probability": 0.5709635416666666}, {"start": 2203.91, "end": 2204.53, "word": " مع", "probability": 0.908203125}, {"start": 2204.53, "end": 2205.57, "word": " السلامة", "probability": 0.978515625}, {"start": 2205.57, "end": 2206.07, "word": " اذا", "probability": 0.820556640625}, {"start": 2206.07, "end": 2206.85, "word": " آلة", "probability": 0.663330078125}, {"start": 2206.85, "end": 2207.13, "word": " ال", "probability": 0.7890625}, {"start": 2207.13, "end": 2207.49, "word": " limit", "probability": 0.919921875}, {"start": 2207.49, "end": 2207.79, "word": " اللي", "probability": 0.739013671875}, {"start": 2207.79, "end": 2208.35, "word": " عندنا", "probability": 0.989990234375}, {"start": 2208.35, "end": 2208.73, "word": " إلى", "probability": 0.62841796875}, {"start": 2208.73, "end": 2209.29, "word": " x", "probability": 0.90771484375}, {"start": 2209.29, "end": 2210.13, "word": " بدأت", "probability": 0.7527669270833334}, {"start": 2210.13, "end": 2210.35, "word": " تروح", "probability": 0.7193196614583334}, {"start": 2210.35, "end": 2210.53, "word": " ل", "probability": 0.75146484375}, {"start": 2210.53, "end": 2210.87, "word": " zero", "probability": 0.275390625}, {"start": 2210.87, "end": 2211.15, "word": " من", "probability": 0.98828125}, {"start": 2211.15, "end": 2211.67, "word": " جهة", "probability": 0.94580078125}, {"start": 2211.67, "end": 2212.19, "word": " اليمين", "probability": 0.792724609375}], "temperature": 1.0}, {"id": 99, "seek": 222604, "start": 2212.58, "end": 2226.04, "text": "بقى في البصد فقط x لا غير في المقام صار عندنا الجدري التربيهي لا واحد زائد x تربيه في sin inverse x ويسوى", "tokens": [3555, 4587, 7578, 8978, 29739, 9381, 3215, 6156, 47432, 2031, 20193, 32771, 13546, 8978, 9673, 4587, 10943, 20328, 9640, 43242, 8315, 25724, 3215, 16572, 16712, 2288, 21292, 3224, 1829, 20193, 36764, 24401, 30767, 16373, 3215, 2031, 6055, 2288, 21292, 3224, 8978, 3343, 17340, 2031, 4032, 1829, 3794, 2407, 7578], "avg_logprob": -0.3012500023841858, "compression_ratio": 1.3779527559055118, "no_speech_prob": 0.0, "words": [{"start": 2212.58, "end": 2213.22, "word": "بقى", "probability": 0.81689453125}, {"start": 2213.22, "end": 2213.38, "word": " في", "probability": 0.311279296875}, {"start": 2213.38, "end": 2214.0, "word": " البصد", "probability": 0.534912109375}, {"start": 2214.0, "end": 2214.62, "word": " فقط", "probability": 0.971923828125}, {"start": 2214.62, "end": 2215.24, "word": " x", "probability": 0.59130859375}, {"start": 2215.24, "end": 2215.54, "word": " لا", "probability": 0.81103515625}, {"start": 2215.54, "end": 2216.2, "word": " غير", "probability": 0.96875}, {"start": 2216.2, "end": 2216.92, "word": " في", "probability": 0.68603515625}, {"start": 2216.92, "end": 2217.78, "word": " المقام", "probability": 0.9664713541666666}, {"start": 2217.78, "end": 2218.28, "word": " صار", "probability": 0.79150390625}, {"start": 2218.28, "end": 2218.76, "word": " عندنا", "probability": 0.983154296875}, {"start": 2218.76, "end": 2219.26, "word": " الجدري", "probability": 0.7569173177083334}, {"start": 2219.26, "end": 2220.0, "word": " التربيهي", "probability": 0.76591796875}, {"start": 2220.0, "end": 2220.52, "word": " لا", "probability": 0.4267578125}, {"start": 2220.52, "end": 2220.96, "word": " واحد", "probability": 0.7373046875}, {"start": 2220.96, "end": 2221.48, "word": " زائد", "probability": 0.8562825520833334}, {"start": 2221.48, "end": 2221.78, "word": " x", "probability": 0.8623046875}, {"start": 2221.78, "end": 2222.42, "word": " تربيه", "probability": 0.8211669921875}, {"start": 2222.42, "end": 2222.88, "word": " في", "probability": 0.9287109375}, {"start": 2222.88, "end": 2223.46, "word": " sin", "probability": 0.430419921875}, {"start": 2223.46, "end": 2224.32, "word": " inverse", "probability": 0.81396484375}, {"start": 2224.32, "end": 2225.08, "word": " x", "probability": 0.92919921875}, {"start": 2225.08, "end": 2226.04, "word": " ويسوى", "probability": 0.621728515625}], "temperature": 1.0}, {"id": 100, "seek": 225629, "start": 2226.69, "end": 2256.29, "text": "لو جيه تعويض مباشر يبقى هدف Zero هدف Zero في واحد يبقى ب Zero يبقى Limiter Roll كمان مرة يبقى High Limit لما ال X بده يروح ل Zero من جهة اليمين تفاضل البسطج واحد على تفاضل المقام المقام مشتق تحاصل ضرب دلتين يبقى دل الأولى", "tokens": [1211, 2407, 10874, 1829, 3224, 37279, 45865, 11242, 3714, 3555, 33599, 2288, 7251, 3555, 4587, 7578, 8032, 3215, 5172, 17182, 8032, 3215, 5172, 17182, 8978, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 17182, 7251, 3555, 4587, 7578, 16406, 1681, 9926, 9122, 2304, 7649, 3714, 25720, 7251, 3555, 4587, 7578, 5229, 16406, 270, 5296, 15042, 2423, 1783, 47525, 3224, 7251, 32887, 5016, 5296, 17182, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 6055, 5172, 46958, 1211, 29739, 3794, 9566, 7435, 36764, 24401, 15844, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 9673, 4587, 10943, 37893, 2655, 4587, 6055, 5016, 33546, 1211, 48812, 25513, 11778, 1211, 2655, 9957, 7251, 3555, 4587, 7578, 11778, 1211, 16247, 12610, 7578], "avg_logprob": -0.23053727534256482, "compression_ratio": 1.7391304347826086, "no_speech_prob": 0.0, "words": [{"start": 2226.69, "end": 2227.07, "word": "لو", "probability": 0.641845703125}, {"start": 2227.07, "end": 2227.33, "word": " جيه", "probability": 0.4965413411458333}, {"start": 2227.33, "end": 2228.31, "word": " تعويض", "probability": 0.7903645833333334}, {"start": 2228.31, "end": 2229.07, "word": " مباشر", "probability": 0.9686279296875}, {"start": 2229.07, "end": 2229.79, "word": " يبقى", "probability": 0.90087890625}, {"start": 2229.79, "end": 2230.21, "word": " هدف", "probability": 0.505859375}, {"start": 2230.21, "end": 2230.69, "word": " Zero", "probability": 0.3330078125}, {"start": 2230.69, "end": 2231.67, "word": " هدف", "probability": 0.96044921875}, {"start": 2231.67, "end": 2232.11, "word": " Zero", "probability": 0.94384765625}, {"start": 2232.11, "end": 2232.33, "word": " في", "probability": 0.94091796875}, {"start": 2232.33, "end": 2233.11, "word": " واحد", "probability": 0.986572265625}, {"start": 2233.11, "end": 2233.93, "word": " يبقى", "probability": 0.9599609375}, {"start": 2233.93, "end": 2234.11, "word": " ب", "probability": 0.38623046875}, {"start": 2234.11, "end": 2234.51, "word": " Zero", "probability": 0.74365234375}, {"start": 2234.51, "end": 2235.45, "word": " يبقى", "probability": 0.9654541015625}, {"start": 2235.45, "end": 2236.01, "word": " Limiter", "probability": 0.30096435546875}, {"start": 2236.01, "end": 2236.33, "word": " Roll", "probability": 0.1806640625}, {"start": 2236.33, "end": 2236.77, "word": " كمان", "probability": 0.9544270833333334}, {"start": 2236.77, "end": 2237.17, "word": " مرة", "probability": 0.97412109375}, {"start": 2237.17, "end": 2238.03, "word": " يبقى", "probability": 0.9857177734375}, {"start": 2238.03, "end": 2238.33, "word": " High", "probability": 0.35693359375}, {"start": 2238.33, "end": 2238.91, "word": " Limit", "probability": 0.75927734375}, {"start": 2238.91, "end": 2239.85, "word": " لما", "probability": 0.9208984375}, {"start": 2239.85, "end": 2240.05, "word": " ال", "probability": 0.927734375}, {"start": 2240.05, "end": 2240.39, "word": " X", "probability": 0.68798828125}, {"start": 2240.39, "end": 2240.85, "word": " بده", "probability": 0.572998046875}, {"start": 2240.85, "end": 2241.17, "word": " يروح", "probability": 0.9462890625}, {"start": 2241.17, "end": 2241.37, "word": " ل", "probability": 0.442626953125}, {"start": 2241.37, "end": 2241.81, "word": " Zero", "probability": 0.853515625}, {"start": 2241.81, "end": 2242.09, "word": " من", "probability": 0.99072265625}, {"start": 2242.09, "end": 2242.55, "word": " جهة", "probability": 0.9832356770833334}, {"start": 2242.55, "end": 2243.01, "word": " اليمين", "probability": 0.8797200520833334}, {"start": 2243.01, "end": 2244.09, "word": " تفاضل", "probability": 0.97265625}, {"start": 2244.09, "end": 2244.79, "word": " البسطج", "probability": 0.62847900390625}, {"start": 2244.79, "end": 2245.61, "word": " واحد", "probability": 0.986328125}, {"start": 2245.61, "end": 2246.31, "word": " على", "probability": 0.8955078125}, {"start": 2246.31, "end": 2247.15, "word": " تفاضل", "probability": 0.986083984375}, {"start": 2247.15, "end": 2247.97, "word": " المقام", "probability": 0.99365234375}, {"start": 2247.97, "end": 2249.77, "word": " المقام", "probability": 0.98583984375}, {"start": 2249.77, "end": 2250.89, "word": " مشتق", "probability": 0.7918294270833334}, {"start": 2250.89, "end": 2251.69, "word": " تحاصل", "probability": 0.774658203125}, {"start": 2251.69, "end": 2252.17, "word": " ضرب", "probability": 0.985107421875}, {"start": 2252.17, "end": 2253.71, "word": " دلتين", "probability": 0.8177490234375}, {"start": 2253.71, "end": 2254.57, "word": " يبقى", "probability": 0.9898681640625}, {"start": 2254.57, "end": 2255.13, "word": " دل", "probability": 0.576904296875}, {"start": 2255.13, "end": 2256.29, "word": " الأولى", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 101, "seek": 228483, "start": 2258.03, "end": 2284.83, "text": "فى مشتقة الدالة الثانية مشتقة ال sign inverse اللى هو واحد على الجدرى التربية لواحد ناقص X تربية زائد الدالة التانية اللى هو sign inverse X فى مشتقة الأولى مشتقة الجدر بواحد على اتنين الجدر تمام", "tokens": [5172, 7578, 37893, 2655, 28671, 32748, 6027, 3660, 6024, 104, 7649, 10632, 37893, 2655, 28671, 2423, 1465, 17340, 13672, 7578, 31439, 36764, 24401, 15844, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 5296, 14407, 24401, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 32748, 6027, 3660, 16712, 7649, 10632, 13672, 7578, 31439, 1465, 17340, 1783, 6156, 7578, 37893, 2655, 28671, 16247, 12610, 7578, 37893, 2655, 28671, 25724, 3215, 2288, 4724, 14407, 24401, 15844, 1975, 2655, 1863, 9957, 25724, 3215, 2288, 46811, 10943], "avg_logprob": -0.19522059454637417, "compression_ratio": 2.108974358974359, "no_speech_prob": 0.0, "words": [{"start": 2258.03, "end": 2258.29, "word": "فى", "probability": 0.538360595703125}, {"start": 2258.29, "end": 2259.03, "word": " مشتقة", "probability": 0.8430989583333334}, {"start": 2259.03, "end": 2259.79, "word": " الدالة", "probability": 0.9166666666666666}, {"start": 2259.79, "end": 2260.29, "word": " الثانية", "probability": 0.9180908203125}, {"start": 2260.29, "end": 2261.21, "word": " مشتقة", "probability": 0.9656575520833334}, {"start": 2261.21, "end": 2261.37, "word": " ال", "probability": 0.68994140625}, {"start": 2261.37, "end": 2261.55, "word": " sign", "probability": 0.184814453125}, {"start": 2261.55, "end": 2261.99, "word": " inverse", "probability": 0.9072265625}, {"start": 2261.99, "end": 2262.29, "word": " اللى", "probability": 0.8544921875}, {"start": 2262.29, "end": 2262.47, "word": " هو", "probability": 0.8779296875}, {"start": 2262.47, "end": 2263.17, "word": " واحد", "probability": 0.92041015625}, {"start": 2263.17, "end": 2263.81, "word": " على", "probability": 0.81884765625}, {"start": 2263.81, "end": 2264.41, "word": " الجدرى", "probability": 0.869873046875}, {"start": 2264.41, "end": 2265.05, "word": " التربية", "probability": 0.82275390625}, {"start": 2265.05, "end": 2265.99, "word": " لواحد", "probability": 0.7530924479166666}, {"start": 2265.99, "end": 2266.77, "word": " ناقص", "probability": 0.8701171875}, {"start": 2266.77, "end": 2267.15, "word": " X", "probability": 0.4814453125}, {"start": 2267.15, "end": 2267.83, "word": " تربية", "probability": 0.9069010416666666}, {"start": 2267.83, "end": 2269.51, "word": " زائد", "probability": 0.8269856770833334}, {"start": 2269.51, "end": 2270.71, "word": " الدالة", "probability": 0.9861653645833334}, {"start": 2270.71, "end": 2271.29, "word": " التانية", "probability": 0.91162109375}, {"start": 2271.29, "end": 2271.49, "word": " اللى", "probability": 0.774169921875}, {"start": 2271.49, "end": 2271.67, "word": " هو", "probability": 0.3720703125}, {"start": 2271.67, "end": 2272.05, "word": " sign", "probability": 0.6142578125}, {"start": 2272.05, "end": 2272.77, "word": " inverse", "probability": 0.94873046875}, {"start": 2272.77, "end": 2273.25, "word": " X", "probability": 0.95068359375}, {"start": 2273.25, "end": 2273.83, "word": " فى", "probability": 0.8876953125}, {"start": 2273.83, "end": 2274.81, "word": " مشتقة", "probability": 0.9822591145833334}, {"start": 2274.81, "end": 2276.09, "word": " الأولى", "probability": 0.8819986979166666}, {"start": 2276.09, "end": 2277.11, "word": " مشتقة", "probability": 0.9763997395833334}, {"start": 2277.11, "end": 2277.89, "word": " الجدر", "probability": 0.9833984375}, {"start": 2277.89, "end": 2279.69, "word": " بواحد", "probability": 0.92919921875}, {"start": 2279.69, "end": 2280.49, "word": " على", "probability": 0.88623046875}, {"start": 2280.49, "end": 2281.73, "word": " اتنين", "probability": 0.903564453125}, {"start": 2281.73, "end": 2282.47, "word": " الجدر", "probability": 0.9772135416666666}, {"start": 2282.47, "end": 2284.83, "word": " تمام", "probability": 0.903564453125}], "temperature": 1.0}, {"id": 102, "seek": 230485, "start": 2285.19, "end": 2304.85, "text": "فى مشتقة ما داخل الجدر اللى هو كده بتنين X طيب نجى نشوف العوض عن X بزيرو يبقى اتش بصير واحد على زيرو بتطير هادي زيرو بتطير هادي بظل واحد على واحد اللى هو بواحد", "tokens": [5172, 7578, 37893, 2655, 28671, 19446, 11778, 47283, 1211, 25724, 3215, 2288, 13672, 7578, 31439, 9122, 3215, 3224, 39894, 1863, 9957, 1783, 23032, 1829, 3555, 8717, 7435, 7578, 8717, 8592, 38688, 18863, 2407, 11242, 18871, 1783, 4724, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 1975, 2655, 8592, 4724, 9381, 13546, 36764, 24401, 15844, 30767, 13546, 2407, 39894, 9566, 13546, 8032, 995, 16254, 30767, 13546, 2407, 39894, 9566, 13546, 8032, 995, 16254, 4724, 19913, 1211, 36764, 24401, 15844, 36764, 24401, 13672, 7578, 31439, 4724, 14407, 24401], "avg_logprob": -0.35901162860005403, "compression_ratio": 1.88, "no_speech_prob": 0.0, "words": [{"start": 2285.19, "end": 2285.45, "word": "فى", "probability": 0.464569091796875}, {"start": 2285.45, "end": 2286.29, "word": " مشتقة", "probability": 0.641357421875}, {"start": 2286.29, "end": 2286.51, "word": " ما", "probability": 0.45556640625}, {"start": 2286.51, "end": 2287.19, "word": " داخل", "probability": 0.912109375}, {"start": 2287.19, "end": 2287.73, "word": " الجدر", "probability": 0.947265625}, {"start": 2287.73, "end": 2287.87, "word": " اللى", "probability": 0.89111328125}, {"start": 2287.87, "end": 2288.05, "word": " هو", "probability": 0.93017578125}, {"start": 2288.05, "end": 2288.55, "word": " كده", "probability": 0.59423828125}, {"start": 2288.55, "end": 2290.59, "word": " بتنين", "probability": 0.6914876302083334}, {"start": 2290.59, "end": 2291.13, "word": " X", "probability": 0.5869140625}, {"start": 2291.13, "end": 2292.13, "word": " طيب", "probability": 0.8186848958333334}, {"start": 2292.13, "end": 2293.11, "word": " نجى", "probability": 0.5104166666666666}, {"start": 2293.11, "end": 2293.45, "word": " نشوف", "probability": 0.9913736979166666}, {"start": 2293.45, "end": 2294.13, "word": " العوض", "probability": 0.657470703125}, {"start": 2294.13, "end": 2294.63, "word": " عن", "probability": 0.591796875}, {"start": 2294.63, "end": 2294.95, "word": " X", "probability": 0.943359375}, {"start": 2294.95, "end": 2295.77, "word": " بزيرو", "probability": 0.599853515625}, {"start": 2295.77, "end": 2296.35, "word": " يبقى", "probability": 0.7244873046875}, {"start": 2296.35, "end": 2296.59, "word": " اتش", "probability": 0.3906453450520833}, {"start": 2296.59, "end": 2296.95, "word": " بصير", "probability": 0.8557942708333334}, {"start": 2296.95, "end": 2297.77, "word": " واحد", "probability": 0.984130859375}, {"start": 2297.77, "end": 2298.07, "word": " على", "probability": 0.70263671875}, {"start": 2298.07, "end": 2299.53, "word": " زيرو", "probability": 0.7902018229166666}, {"start": 2299.53, "end": 2300.05, "word": " بتطير", "probability": 0.787109375}, {"start": 2300.05, "end": 2300.61, "word": " هادي", "probability": 0.6915690104166666}, {"start": 2300.61, "end": 2301.55, "word": " زيرو", "probability": 0.8013509114583334}, {"start": 2301.55, "end": 2302.07, "word": " بتطير", "probability": 0.9485677083333334}, {"start": 2302.07, "end": 2302.59, "word": " هادي", "probability": 0.8694661458333334}, {"start": 2302.59, "end": 2303.17, "word": " بظل", "probability": 0.512939453125}, {"start": 2303.17, "end": 2303.51, "word": " واحد", "probability": 0.965576171875}, {"start": 2303.51, "end": 2303.69, "word": " على", "probability": 0.65234375}, {"start": 2303.69, "end": 2304.03, "word": " واحد", "probability": 0.9912109375}, {"start": 2304.03, "end": 2304.21, "word": " اللى", "probability": 0.933837890625}, {"start": 2304.21, "end": 2304.35, "word": " هو", "probability": 0.98291015625}, {"start": 2304.35, "end": 2304.85, "word": " بواحد", "probability": 0.8912760416666666}], "temperature": 1.0}, {"id": 103, "seek": 233238, "start": 2305.92, "end": 2332.38, "text": "وصل لزائد زائد sign inverse ل zero في zero على اتنين يبقى الجواب كله قداش يساوي واحد صحيح هو نهاية هذه الدالة حد بدي اسأله سؤال بالنسبة لهذه ال limit", "tokens": [2407, 36520, 5296, 11622, 16373, 3215, 30767, 16373, 3215, 1465, 17340, 5296, 4018, 8978, 4018, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 28242, 3224, 12174, 3215, 33599, 7251, 3794, 995, 45865, 36764, 24401, 20328, 5016, 1829, 5016, 31439, 8717, 11296, 10632, 29538, 32748, 6027, 3660, 11331, 3215, 4724, 16254, 24525, 10721, 43761, 8608, 33604, 6027, 20666, 1863, 35457, 3660, 46740, 24192, 2423, 4948], "avg_logprob": -0.2332427484401758, "compression_ratio": 1.4848484848484849, "no_speech_prob": 0.0, "words": [{"start": 2305.92, "end": 2306.46, "word": "وصل", "probability": 0.761474609375}, {"start": 2306.46, "end": 2307.16, "word": " لزائد", "probability": 0.58941650390625}, {"start": 2307.16, "end": 2307.62, "word": " زائد", "probability": 0.9138997395833334}, {"start": 2307.62, "end": 2308.38, "word": " sign", "probability": 0.2069091796875}, {"start": 2308.38, "end": 2309.34, "word": " inverse", "probability": 0.9013671875}, {"start": 2309.34, "end": 2309.98, "word": " ل", "probability": 0.8349609375}, {"start": 2309.98, "end": 2310.72, "word": " zero", "probability": 0.461181640625}, {"start": 2310.72, "end": 2311.36, "word": " في", "probability": 0.81982421875}, {"start": 2311.36, "end": 2312.08, "word": " zero", "probability": 0.78662109375}, {"start": 2312.08, "end": 2312.82, "word": " على", "probability": 0.787109375}, {"start": 2312.82, "end": 2314.18, "word": " اتنين", "probability": 0.91162109375}, {"start": 2314.18, "end": 2314.64, "word": " يبقى", "probability": 0.8643798828125}, {"start": 2314.64, "end": 2317.72, "word": " الجواب", "probability": 0.7911783854166666}, {"start": 2317.72, "end": 2318.08, "word": " كله", "probability": 0.863525390625}, {"start": 2318.08, "end": 2318.66, "word": " قداش", "probability": 0.8401692708333334}, {"start": 2318.66, "end": 2319.56, "word": " يساوي", "probability": 0.900146484375}, {"start": 2319.56, "end": 2320.0, "word": " واحد", "probability": 0.978271484375}, {"start": 2320.0, "end": 2320.64, "word": " صحيح", "probability": 0.9759521484375}, {"start": 2320.64, "end": 2321.18, "word": " هو", "probability": 0.7412109375}, {"start": 2321.18, "end": 2321.88, "word": " نهاية", "probability": 0.9739583333333334}, {"start": 2321.88, "end": 2322.8, "word": " هذه", "probability": 0.953125}, {"start": 2322.8, "end": 2324.7, "word": " الدالة", "probability": 0.97509765625}, {"start": 2324.7, "end": 2329.4, "word": " حد", "probability": 0.766357421875}, {"start": 2329.4, "end": 2329.68, "word": " بدي", "probability": 0.6505126953125}, {"start": 2329.68, "end": 2329.98, "word": " اسأله", "probability": 0.52099609375}, {"start": 2329.98, "end": 2330.78, "word": " سؤال", "probability": 0.9129231770833334}, {"start": 2330.78, "end": 2331.52, "word": " بالنسبة", "probability": 0.924560546875}, {"start": 2331.52, "end": 2331.98, "word": " لهذه", "probability": 0.776611328125}, {"start": 2331.98, "end": 2332.14, "word": " ال", "probability": 0.63330078125}, {"start": 2332.14, "end": 2332.38, "word": " limit", "probability": 0.89013671875}], "temperature": 1.0}, {"id": 104, "seek": 236404, "start": 2338.52, "end": 2364.04, "text": "طيب تهيأنا من المثال اللي هو الأول بابنا نروح للمثال الثاني يبقى example two يقول find y prime for each of", "tokens": [9566, 1829, 3555, 6055, 3224, 1829, 10721, 8315, 9154, 9673, 12984, 6027, 13672, 1829, 31439, 16247, 12610, 4724, 16758, 8315, 8717, 32887, 5016, 5296, 19528, 12984, 6027, 6024, 104, 7649, 1829, 7251, 3555, 4587, 7578, 1365, 732, 7251, 39648, 915, 288, 5835, 337, 1184, 295], "avg_logprob": -0.29059102029904077, "compression_ratio": 1.2936507936507937, "no_speech_prob": 0.0, "words": [{"start": 2338.52, "end": 2339.92, "word": "طيب", "probability": 0.6493937174479166}, {"start": 2339.92, "end": 2340.66, "word": " تهيأنا", "probability": 0.595751953125}, {"start": 2340.66, "end": 2340.88, "word": " من", "probability": 0.97802734375}, {"start": 2340.88, "end": 2341.68, "word": " المثال", "probability": 0.94970703125}, {"start": 2341.68, "end": 2342.64, "word": " اللي", "probability": 0.87646484375}, {"start": 2342.64, "end": 2343.12, "word": " هو", "probability": 0.9921875}, {"start": 2343.12, "end": 2344.34, "word": " الأول", "probability": 0.896484375}, {"start": 2344.34, "end": 2345.38, "word": " بابنا", "probability": 0.5240885416666666}, {"start": 2345.38, "end": 2346.02, "word": " نروح", "probability": 0.9778645833333334}, {"start": 2346.02, "end": 2346.82, "word": " للمثال", "probability": 0.9219970703125}, {"start": 2346.82, "end": 2347.86, "word": " الثاني", "probability": 0.9765625}, {"start": 2347.86, "end": 2349.32, "word": " يبقى", "probability": 0.8380126953125}, {"start": 2349.32, "end": 2349.92, "word": " example", "probability": 0.90673828125}, {"start": 2349.92, "end": 2350.72, "word": " two", "probability": 0.65869140625}, {"start": 2350.72, "end": 2355.6, "word": " يقول", "probability": 0.6796875}, {"start": 2355.6, "end": 2356.64, "word": " find", "probability": 0.64892578125}, {"start": 2356.64, "end": 2358.58, "word": " y", "probability": 0.69970703125}, {"start": 2358.58, "end": 2359.46, "word": " prime", "probability": 0.5400390625}, {"start": 2359.46, "end": 2360.96, "word": " for", "probability": 0.93310546875}, {"start": 2360.96, "end": 2362.66, "word": " each", "probability": 0.95166015625}, {"start": 2362.66, "end": 2364.04, "word": " of", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 105, "seek": 238464, "start": 2373.16, "end": 2384.64, "text": "بنجدوش مشتقت كل من المقادير التالية نمرا واحد هو يساوي 10 inverse لإن ال X", "tokens": [3555, 1863, 7435, 3215, 2407, 8592, 37893, 2655, 38149, 28242, 9154, 9673, 4587, 18513, 13546, 16712, 6027, 10632, 8717, 2304, 23557, 36764, 24401, 31439, 7251, 3794, 995, 45865, 1266, 17340, 5296, 28814, 1863, 2423, 1783], "avg_logprob": -0.3645833333333333, "compression_ratio": 1.1923076923076923, "no_speech_prob": 0.0, "words": [{"start": 2373.16, "end": 2374.56, "word": "بنجدوش", "probability": 0.6060282389322916}, {"start": 2374.56, "end": 2375.3, "word": " مشتقت", "probability": 0.8160807291666666}, {"start": 2375.3, "end": 2375.62, "word": " كل", "probability": 0.96484375}, {"start": 2375.62, "end": 2375.92, "word": " من", "probability": 0.6142578125}, {"start": 2375.92, "end": 2376.8, "word": " المقادير", "probability": 0.976806640625}, {"start": 2376.8, "end": 2377.42, "word": " التالية", "probability": 0.9915364583333334}, {"start": 2377.42, "end": 2378.44, "word": " نمرا", "probability": 0.540283203125}, {"start": 2378.44, "end": 2379.12, "word": " واحد", "probability": 0.97021484375}, {"start": 2379.12, "end": 2379.9, "word": " هو", "probability": 0.63818359375}, {"start": 2379.9, "end": 2380.8, "word": " يساوي", "probability": 0.855224609375}, {"start": 2380.8, "end": 2381.5, "word": " 10", "probability": 0.2259521484375}, {"start": 2381.5, "end": 2382.64, "word": " inverse", "probability": 0.68359375}, {"start": 2382.64, "end": 2383.84, "word": " لإن", "probability": 0.79638671875}, {"start": 2383.84, "end": 2384.1, "word": " ال", "probability": 0.669921875}, {"start": 2384.1, "end": 2384.64, "word": " X", "probability": 0.63232421875}], "temperature": 1.0}, {"id": 106, "seek": 240441, "start": 2385.75, "end": 2404.41, "text": "يبقى كأن المثال Y تساوي 10 inverse U يبقى 1 على 1 زاد U تربية في مشتقة الـ U حسب ما خدناه قبل قليل يبقى هذا يعطيك ان Y prime يساوي", "tokens": [1829, 3555, 4587, 7578, 9122, 33456, 9673, 12984, 6027, 398, 6055, 3794, 995, 45865, 1266, 17340, 624, 7251, 3555, 4587, 7578, 502, 15844, 502, 30767, 18513, 624, 6055, 25513, 10632, 8978, 37893, 2655, 28671, 2423, 39184, 624, 11331, 35457, 19446, 16490, 3215, 8315, 3224, 12174, 36150, 12174, 20292, 1211, 7251, 3555, 4587, 7578, 23758, 7251, 3615, 9566, 1829, 4117, 16472, 398, 5835, 7251, 3794, 995, 45865], "avg_logprob": -0.4109141835525854, "compression_ratio": 1.3660130718954249, "no_speech_prob": 0.0, "words": [{"start": 2385.75, "end": 2386.23, "word": "يبقى", "probability": 0.669189453125}, {"start": 2386.23, "end": 2386.73, "word": " كأن", "probability": 0.742919921875}, {"start": 2386.73, "end": 2387.37, "word": " المثال", "probability": 0.7283528645833334}, {"start": 2387.37, "end": 2387.69, "word": " Y", "probability": 0.236328125}, {"start": 2387.69, "end": 2388.33, "word": " تساوي", "probability": 0.715423583984375}, {"start": 2388.33, "end": 2388.95, "word": " 10", "probability": 0.415771484375}, {"start": 2388.95, "end": 2390.05, "word": " inverse", "probability": 0.492919921875}, {"start": 2390.05, "end": 2390.71, "word": " U", "probability": 0.8603515625}, {"start": 2390.71, "end": 2394.03, "word": " يبقى", "probability": 0.7708740234375}, {"start": 2394.03, "end": 2394.35, "word": " 1", "probability": 0.572265625}, {"start": 2394.35, "end": 2394.71, "word": " على", "probability": 0.546875}, {"start": 2394.71, "end": 2395.11, "word": " 1", "probability": 0.98779296875}, {"start": 2395.11, "end": 2395.53, "word": " زاد", "probability": 0.4556884765625}, {"start": 2395.53, "end": 2395.73, "word": " U", "probability": 0.47607421875}, {"start": 2395.73, "end": 2396.23, "word": " تربية", "probability": 0.84326171875}, {"start": 2396.23, "end": 2396.45, "word": " في", "probability": 0.87353515625}, {"start": 2396.45, "end": 2397.33, "word": " مشتقة", "probability": 0.7117513020833334}, {"start": 2397.33, "end": 2398.15, "word": " الـ", "probability": 0.559814453125}, {"start": 2398.15, "end": 2398.31, "word": " U", "probability": 0.59716796875}, {"start": 2398.31, "end": 2398.69, "word": " حسب", "probability": 0.709716796875}, {"start": 2398.69, "end": 2398.87, "word": " ما", "probability": 0.75341796875}, {"start": 2398.87, "end": 2399.43, "word": " خدناه", "probability": 0.618072509765625}, {"start": 2399.43, "end": 2399.77, "word": " قبل", "probability": 0.984130859375}, {"start": 2399.77, "end": 2400.43, "word": " قليل", "probability": 0.9812825520833334}, {"start": 2400.43, "end": 2401.19, "word": " يبقى", "probability": 0.843994140625}, {"start": 2401.19, "end": 2401.49, "word": " هذا", "probability": 0.92578125}, {"start": 2401.49, "end": 2402.49, "word": " يعطيك", "probability": 0.712548828125}, {"start": 2402.49, "end": 2402.73, "word": " ان", "probability": 0.335205078125}, {"start": 2402.73, "end": 2403.07, "word": " Y", "probability": 0.58740234375}, {"start": 2403.07, "end": 2403.63, "word": " prime", "probability": 0.21435546875}, {"start": 2403.63, "end": 2404.41, "word": " يساوي", "probability": 0.7969970703125}], "temperature": 1.0}, {"id": 107, "seek": 243269, "start": 2404.94, "end": 2432.7, "text": "مشتقة الـ tan inverse واحد على واحد زائد U تربيع يعني لإن ال X الكل تربيع في دي U على دي X يعني في مشتقة كدوش يعني واحد على اكس اختصارات مافيش بروح بخليها نمر اتنين بدنا Y تساوي كتان inverse", "tokens": [2304, 8592, 2655, 28671, 2423, 39184, 7603, 17340, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 624, 6055, 2288, 21292, 3615, 37495, 22653, 5296, 28814, 1863, 2423, 1783, 2423, 28820, 6055, 2288, 21292, 3615, 8978, 11778, 1829, 624, 15844, 11778, 1829, 1783, 37495, 22653, 8978, 37893, 2655, 28671, 9122, 3215, 2407, 8592, 37495, 22653, 36764, 24401, 15844, 1975, 4117, 3794, 1975, 46456, 9381, 9640, 9307, 19446, 41185, 8592, 4724, 32887, 5016, 4724, 9778, 20292, 11296, 8717, 29973, 1975, 2655, 1863, 9957, 47525, 8315, 398, 6055, 3794, 995, 45865, 9122, 2655, 7649, 17340], "avg_logprob": -0.23924731375068747, "compression_ratio": 1.718918918918919, "no_speech_prob": 0.0, "words": [{"start": 2404.94, "end": 2405.6, "word": "مشتقة", "probability": 0.865966796875}, {"start": 2405.6, "end": 2405.9, "word": " الـ", "probability": 0.4140625}, {"start": 2405.9, "end": 2406.06, "word": " tan", "probability": 0.438232421875}, {"start": 2406.06, "end": 2406.44, "word": " inverse", "probability": 0.919921875}, {"start": 2406.44, "end": 2407.38, "word": " واحد", "probability": 0.7054443359375}, {"start": 2407.38, "end": 2408.04, "word": " على", "probability": 0.6337890625}, {"start": 2408.04, "end": 2408.76, "word": " واحد", "probability": 0.985595703125}, {"start": 2408.76, "end": 2409.68, "word": " زائد", "probability": 0.859375}, {"start": 2409.68, "end": 2409.92, "word": " U", "probability": 0.58984375}, {"start": 2409.92, "end": 2410.92, "word": " تربيع", "probability": 0.8212890625}, {"start": 2410.92, "end": 2411.64, "word": " يعني", "probability": 0.888916015625}, {"start": 2411.64, "end": 2412.28, "word": " لإن", "probability": 0.7333984375}, {"start": 2412.28, "end": 2412.56, "word": " ال", "probability": 0.849609375}, {"start": 2412.56, "end": 2412.94, "word": " X", "probability": 0.67236328125}, {"start": 2412.94, "end": 2413.74, "word": " الكل", "probability": 0.762451171875}, {"start": 2413.74, "end": 2414.74, "word": " تربيع", "probability": 0.903564453125}, {"start": 2414.74, "end": 2415.3, "word": " في", "probability": 0.72119140625}, {"start": 2415.3, "end": 2415.66, "word": " دي", "probability": 0.55853271484375}, {"start": 2415.66, "end": 2415.84, "word": " U", "probability": 0.9345703125}, {"start": 2415.84, "end": 2416.08, "word": " على", "probability": 0.71728515625}, {"start": 2416.08, "end": 2416.36, "word": " دي", "probability": 0.981201171875}, {"start": 2416.36, "end": 2416.62, "word": " X", "probability": 0.98974609375}, {"start": 2416.62, "end": 2416.92, "word": " يعني", "probability": 0.918212890625}, {"start": 2416.92, "end": 2417.12, "word": " في", "probability": 0.88818359375}, {"start": 2417.12, "end": 2418.02, "word": " مشتقة", "probability": 0.94775390625}, {"start": 2418.02, "end": 2419.64, "word": " كدوش", "probability": 0.64227294921875}, {"start": 2419.64, "end": 2420.02, "word": " يعني", "probability": 0.914794921875}, {"start": 2420.02, "end": 2421.46, "word": " واحد", "probability": 0.859375}, {"start": 2421.46, "end": 2421.64, "word": " على", "probability": 0.6826171875}, {"start": 2421.64, "end": 2421.96, "word": " اكس", "probability": 0.75439453125}, {"start": 2421.96, "end": 2422.84, "word": " اختصارات", "probability": 0.9595703125}, {"start": 2422.84, "end": 2423.28, "word": " مافيش", "probability": 0.8846028645833334}, {"start": 2423.28, "end": 2423.6, "word": " بروح", "probability": 0.9697265625}, {"start": 2423.6, "end": 2424.4, "word": " بخليها", "probability": 0.8546142578125}, {"start": 2424.4, "end": 2425.24, "word": " نمر", "probability": 0.649658203125}, {"start": 2425.24, "end": 2425.9, "word": " اتنين", "probability": 0.86334228515625}, {"start": 2425.9, "end": 2426.98, "word": " بدنا", "probability": 0.51922607421875}, {"start": 2426.98, "end": 2427.48, "word": " Y", "probability": 0.94873046875}, {"start": 2427.48, "end": 2428.7, "word": " تساوي", "probability": 0.9591064453125}, {"start": 2428.7, "end": 2431.68, "word": " كتان", "probability": 0.890625}, {"start": 2431.68, "end": 2432.7, "word": " inverse", "probability": 0.607421875}], "temperature": 1.0}, {"id": 108, "seek": 245978, "start": 2433.46, "end": 2459.78, "text": "كتان انفرس الجدري التربيع إلى X تربيع ناقص واحد Y' يساوي الكتان انفرس شرطه عند اشتقاق بالسالم يبقى السالم واحد على واحد زائد الجدري التربيع إلى X تربيع ناقص واحد لكل تربيع", "tokens": [4117, 2655, 7649, 16472, 5172, 2288, 3794, 25724, 3215, 16572, 16712, 2288, 21292, 3615, 30731, 1783, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 36764, 24401, 398, 6, 7251, 3794, 995, 45865, 33251, 2655, 7649, 16472, 5172, 2288, 3794, 13412, 2288, 9566, 3224, 43242, 1975, 8592, 2655, 4587, 995, 4587, 20666, 3794, 45340, 7251, 3555, 4587, 7578, 21136, 45340, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 25724, 3215, 16572, 16712, 2288, 21292, 3615, 30731, 1783, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 36764, 24401, 5296, 28820, 6055, 2288, 21292, 3615], "avg_logprob": -0.21404569764291087, "compression_ratio": 2.1773049645390072, "no_speech_prob": 0.0, "words": [{"start": 2433.46, "end": 2434.16, "word": "كتان", "probability": 0.5811665852864584}, {"start": 2434.16, "end": 2434.96, "word": " انفرس", "probability": 0.67120361328125}, {"start": 2434.96, "end": 2436.1, "word": " الجدري", "probability": 0.6715494791666666}, {"start": 2436.1, "end": 2436.84, "word": " التربيع", "probability": 0.70989990234375}, {"start": 2436.84, "end": 2437.1, "word": " إلى", "probability": 0.482177734375}, {"start": 2437.1, "end": 2437.44, "word": " X", "probability": 0.44384765625}, {"start": 2437.44, "end": 2438.08, "word": " تربيع", "probability": 0.861572265625}, {"start": 2438.08, "end": 2438.62, "word": " ناقص", "probability": 0.9490966796875}, {"start": 2438.62, "end": 2439.08, "word": " واحد", "probability": 0.965087890625}, {"start": 2439.08, "end": 2440.76, "word": " Y'", "probability": 0.177734375}, {"start": 2442.68, "end": 2443.34, "word": " يساوي", "probability": 0.779296875}, {"start": 2443.34, "end": 2444.7, "word": " الكتان", "probability": 0.8011881510416666}, {"start": 2444.7, "end": 2445.2, "word": " انفرس", "probability": 0.9747314453125}, {"start": 2445.2, "end": 2446.08, "word": " شرطه", "probability": 0.9385986328125}, {"start": 2446.08, "end": 2447.02, "word": " عند", "probability": 0.80810546875}, {"start": 2447.02, "end": 2447.78, "word": " اشتقاق", "probability": 0.839599609375}, {"start": 2447.78, "end": 2448.4, "word": " بالسالم", "probability": 0.9016927083333334}, {"start": 2448.4, "end": 2449.6, "word": " يبقى", "probability": 0.9664306640625}, {"start": 2449.6, "end": 2450.24, "word": " السالم", "probability": 0.892333984375}, {"start": 2450.24, "end": 2451.38, "word": " واحد", "probability": 0.91845703125}, {"start": 2451.38, "end": 2452.12, "word": " على", "probability": 0.89599609375}, {"start": 2452.12, "end": 2452.84, "word": " واحد", "probability": 0.984619140625}, {"start": 2452.84, "end": 2453.68, "word": " زائد", "probability": 0.7865397135416666}, {"start": 2453.68, "end": 2454.28, "word": " الجدري", "probability": 0.974609375}, {"start": 2454.28, "end": 2454.98, "word": " التربيع", "probability": 0.96728515625}, {"start": 2454.98, "end": 2455.2, "word": " إلى", "probability": 0.8984375}, {"start": 2455.2, "end": 2455.52, "word": " X", "probability": 0.9931640625}, {"start": 2455.52, "end": 2456.2, "word": " تربيع", "probability": 0.9432373046875}, {"start": 2456.2, "end": 2457.2, "word": " ناقص", "probability": 0.99072265625}, {"start": 2457.2, "end": 2457.66, "word": " واحد", "probability": 0.991943359375}, {"start": 2457.66, "end": 2458.4, "word": " لكل", "probability": 0.93994140625}, {"start": 2458.4, "end": 2459.78, "word": " تربيع", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 109, "seek": 247673, "start": 2464.56, "end": 2476.74, "text": "مشتقت الجدر واحد على اتنين الجدر في مداخل الجدر اتنين اكس", "tokens": [2304, 8592, 2655, 38149, 25724, 3215, 2288, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 25724, 3215, 2288, 8978, 3714, 3215, 47283, 1211, 25724, 3215, 2288, 1975, 2655, 1863, 9957, 1975, 4117, 3794], "avg_logprob": -0.3146306818181818, "compression_ratio": 1.4246575342465753, "no_speech_prob": 0.0, "words": [{"start": 2464.56, "end": 2465.96, "word": "مشتقت", "probability": 0.7503662109375}, {"start": 2465.96, "end": 2466.6, "word": " الجدر", "probability": 0.8707682291666666}, {"start": 2466.6, "end": 2467.44, "word": " واحد", "probability": 0.6693115234375}, {"start": 2467.44, "end": 2467.86, "word": " على", "probability": 0.6533203125}, {"start": 2467.86, "end": 2468.62, "word": " اتنين", "probability": 0.9375}, {"start": 2468.62, "end": 2469.76, "word": " الجدر", "probability": 0.9571940104166666}, {"start": 2469.76, "end": 2471.78, "word": " في", "probability": 0.5302734375}, {"start": 2471.78, "end": 2474.18, "word": " مداخل", "probability": 0.718109130859375}, {"start": 2474.18, "end": 2474.66, "word": " الجدر", "probability": 0.98046875}, {"start": 2474.66, "end": 2476.08, "word": " اتنين", "probability": 0.763885498046875}, {"start": 2476.08, "end": 2476.74, "word": " اكس", "probability": 0.8338216145833334}], "temperature": 1.0}, {"id": 110, "seek": 250594, "start": 2483.42, "end": 2505.94, "text": "طبعا هنا تربية حيطير الجذر يبقى بضال واحد زائد X تربية ناقص واحد هيربع من هذا المقدار اتنين مع اتنين الله يسهل عليها بضالة من يمين X على مين على الجذر التربية الى X تربية ناقص واحد", "tokens": [9566, 3555, 3615, 995, 34105, 6055, 25513, 10632, 11331, 1829, 9566, 13546, 25724, 8848, 2288, 7251, 3555, 4587, 7578, 4724, 11242, 6027, 36764, 24401, 30767, 16373, 3215, 1783, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401, 39896, 25513, 3615, 9154, 23758, 9673, 28543, 9640, 1975, 2655, 1863, 9957, 20449, 1975, 2655, 1863, 9957, 21984, 7251, 3794, 3224, 1211, 25894, 11296, 4724, 11242, 6027, 3660, 9154, 7251, 2304, 9957, 1783, 15844, 3714, 9957, 15844, 25724, 8848, 2288, 16712, 25513, 10632, 2423, 7578, 1783, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.2807459754328574, "compression_ratio": 2.018867924528302, "no_speech_prob": 0.0, "words": [{"start": 2483.42, "end": 2483.94, "word": "طبعا", "probability": 0.636962890625}, {"start": 2483.94, "end": 2484.22, "word": " هنا", "probability": 0.23974609375}, {"start": 2484.22, "end": 2485.24, "word": " تربية", "probability": 0.6236165364583334}, {"start": 2485.24, "end": 2485.82, "word": " حيطير", "probability": 0.6614990234375}, {"start": 2485.82, "end": 2486.3, "word": " الجذر", "probability": 0.8234049479166666}, {"start": 2486.3, "end": 2487.0, "word": " يبقى", "probability": 0.79193115234375}, {"start": 2487.0, "end": 2487.4, "word": " بضال", "probability": 0.5596516927083334}, {"start": 2487.4, "end": 2488.08, "word": " واحد", "probability": 0.844970703125}, {"start": 2488.08, "end": 2489.08, "word": " زائد", "probability": 0.7679036458333334}, {"start": 2489.08, "end": 2489.46, "word": " X", "probability": 0.47900390625}, {"start": 2489.46, "end": 2490.14, "word": " تربية", "probability": 0.8878580729166666}, {"start": 2490.14, "end": 2491.26, "word": " ناقص", "probability": 0.94677734375}, {"start": 2491.26, "end": 2491.74, "word": " واحد", "probability": 0.98046875}, {"start": 2491.74, "end": 2493.02, "word": " هيربع", "probability": 0.4607747395833333}, {"start": 2493.02, "end": 2493.16, "word": " من", "probability": 0.64599609375}, {"start": 2493.16, "end": 2493.36, "word": " هذا", "probability": 0.83349609375}, {"start": 2493.36, "end": 2494.06, "word": " المقدار", "probability": 0.9578450520833334}, {"start": 2494.06, "end": 2495.3, "word": " اتنين", "probability": 0.918701171875}, {"start": 2495.3, "end": 2495.82, "word": " مع", "probability": 0.8583984375}, {"start": 2495.82, "end": 2496.28, "word": " اتنين", "probability": 0.9735107421875}, {"start": 2496.28, "end": 2496.52, "word": " الله", "probability": 0.8974609375}, {"start": 2496.52, "end": 2497.04, "word": " يسهل", "probability": 0.96923828125}, {"start": 2497.04, "end": 2497.56, "word": " عليها", "probability": 0.9912109375}, {"start": 2497.56, "end": 2498.4, "word": " بضالة", "probability": 0.646484375}, {"start": 2498.4, "end": 2498.48, "word": " من", "probability": 0.83837890625}, {"start": 2498.48, "end": 2498.92, "word": " يمين", "probability": 0.74169921875}, {"start": 2498.92, "end": 2499.88, "word": " X", "probability": 0.63427734375}, {"start": 2499.88, "end": 2500.54, "word": " على", "probability": 0.82373046875}, {"start": 2500.54, "end": 2501.04, "word": " مين", "probability": 0.6253662109375}, {"start": 2501.04, "end": 2501.62, "word": " على", "probability": 0.7177734375}, {"start": 2501.62, "end": 2502.18, "word": " الجذر", "probability": 0.9119466145833334}, {"start": 2502.18, "end": 2502.86, "word": " التربية", "probability": 0.8053385416666666}, {"start": 2502.86, "end": 2503.16, "word": " الى", "probability": 0.637451171875}, {"start": 2503.16, "end": 2503.48, "word": " X", "probability": 0.99169921875}, {"start": 2503.48, "end": 2504.16, "word": " تربية", "probability": 0.9580078125}, {"start": 2504.16, "end": 2505.44, "word": " ناقص", "probability": 0.99365234375}, {"start": 2505.44, "end": 2505.94, "word": " واحد", "probability": 0.983642578125}], "temperature": 1.0}, {"id": 111, "seek": 253432, "start": 2506.46, "end": 2534.32, "text": "يبقى هذا الكلام يساوي سالب واحد على X تربية واحد و سالب واحد مع السلامة بظل مضروب في X على الجذر التربية ل X تربية ناقص واحد نختصر ال X مع ال X بظل ناقص واحد على X الجذر التربية ل X تربية ناقص واحد طيب السؤال التالت", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401, 15844, 1783, 6055, 25513, 10632, 36764, 24401, 4032, 8608, 6027, 3555, 36764, 24401, 20449, 21136, 37440, 3660, 4724, 19913, 1211, 3714, 11242, 32887, 3555, 8978, 1783, 15844, 25724, 8848, 2288, 16712, 25513, 10632, 5296, 1783, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401, 8717, 46456, 9381, 2288, 2423, 1783, 20449, 2423, 1783, 4724, 19913, 1211, 8717, 995, 4587, 9381, 36764, 24401, 15844, 1783, 25724, 8848, 2288, 16712, 25513, 10632, 5296, 1783, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401, 23032, 1829, 3555, 21136, 33604, 6027, 16712, 6027, 2655], "avg_logprob": -0.12254050898331183, "compression_ratio": 2.3797468354430378, "no_speech_prob": 0.0, "words": [{"start": 2506.46, "end": 2506.94, "word": "يبقى", "probability": 0.7491455078125}, {"start": 2506.94, "end": 2507.2, "word": " هذا", "probability": 0.95068359375}, {"start": 2507.2, "end": 2507.76, "word": " الكلام", "probability": 0.95751953125}, {"start": 2507.76, "end": 2508.58, "word": " يساوي", "probability": 0.9329833984375}, {"start": 2508.58, "end": 2509.78, "word": " سالب", "probability": 0.6737874348958334}, {"start": 2509.78, "end": 2510.48, "word": " واحد", "probability": 0.974853515625}, {"start": 2510.48, "end": 2511.3, "word": " على", "probability": 0.7880859375}, {"start": 2511.3, "end": 2511.58, "word": " X", "probability": 0.3369140625}, {"start": 2511.58, "end": 2511.96, "word": " تربية", "probability": 0.8134765625}, {"start": 2511.96, "end": 2512.28, "word": " واحد", "probability": 0.906005859375}, {"start": 2512.28, "end": 2512.42, "word": " و", "probability": 0.61376953125}, {"start": 2512.42, "end": 2512.68, "word": " سالب", "probability": 0.720703125}, {"start": 2512.68, "end": 2512.92, "word": " واحد", "probability": 0.98681640625}, {"start": 2512.92, "end": 2513.14, "word": " مع", "probability": 0.9697265625}, {"start": 2513.14, "end": 2513.92, "word": " السلامة", "probability": 0.88232421875}, {"start": 2513.92, "end": 2514.74, "word": " بظل", "probability": 0.56005859375}, {"start": 2514.74, "end": 2515.44, "word": " مضروب", "probability": 0.9620361328125}, {"start": 2515.44, "end": 2515.7, "word": " في", "probability": 0.92626953125}, {"start": 2515.7, "end": 2516.12, "word": " X", "probability": 0.96728515625}, {"start": 2516.12, "end": 2516.74, "word": " على", "probability": 0.892578125}, {"start": 2516.74, "end": 2517.26, "word": " الجذر", "probability": 0.8282877604166666}, {"start": 2517.26, "end": 2517.94, "word": " التربية", "probability": 0.8956705729166666}, {"start": 2517.94, "end": 2518.16, "word": " ل", "probability": 0.8779296875}, {"start": 2518.16, "end": 2518.44, "word": " X", "probability": 0.73486328125}, {"start": 2518.44, "end": 2518.92, "word": " تربية", "probability": 0.966796875}, {"start": 2518.92, "end": 2519.72, "word": " ناقص", "probability": 0.97265625}, {"start": 2519.72, "end": 2520.28, "word": " واحد", "probability": 0.96044921875}, {"start": 2520.28, "end": 2521.52, "word": " نختصر", "probability": 0.968017578125}, {"start": 2521.52, "end": 2521.66, "word": " ال", "probability": 0.76806640625}, {"start": 2521.66, "end": 2521.94, "word": " X", "probability": 0.93505859375}, {"start": 2521.94, "end": 2522.2, "word": " مع", "probability": 0.98583984375}, {"start": 2522.2, "end": 2522.42, "word": " ال", "probability": 0.92236328125}, {"start": 2522.42, "end": 2522.76, "word": " X", "probability": 0.97021484375}, {"start": 2522.76, "end": 2523.48, "word": " بظل", "probability": 0.87890625}, {"start": 2523.48, "end": 2524.12, "word": " ناقص", "probability": 0.992431640625}, {"start": 2524.12, "end": 2524.86, "word": " واحد", "probability": 0.989013671875}, {"start": 2524.86, "end": 2525.56, "word": " على", "probability": 0.9287109375}, {"start": 2525.56, "end": 2526.14, "word": " X", "probability": 0.99365234375}, {"start": 2526.14, "end": 2527.1, "word": " الجذر", "probability": 0.9754231770833334}, {"start": 2527.1, "end": 2527.76, "word": " التربية", "probability": 0.9861653645833334}, {"start": 2527.76, "end": 2527.98, "word": " ل", "probability": 0.97509765625}, {"start": 2527.98, "end": 2528.26, "word": " X", "probability": 0.904296875}, {"start": 2528.26, "end": 2528.96, "word": " تربية", "probability": 0.9801432291666666}, {"start": 2528.96, "end": 2530.44, "word": " ناقص", "probability": 0.9954833984375}, {"start": 2530.44, "end": 2531.04, "word": " واحد", "probability": 0.988037109375}, {"start": 2531.04, "end": 2532.14, "word": " طيب", "probability": 0.8583984375}, {"start": 2532.14, "end": 2533.34, "word": " السؤال", "probability": 0.9873046875}, {"start": 2533.34, "end": 2534.32, "word": " التالت", "probability": 0.9256184895833334}], "temperature": 1.0}, {"id": 112, "seek": 256298, "start": 2536.19, "end": 2562.99, "text": "سؤال التالت بيقولي y تساوي general x ال square root لل x في cosine inverse ال square root لل x كله أس أربعة يبقى بدنا y prime تساوي يلا فكروني في الموضوع", "tokens": [3794, 33604, 6027, 16712, 6027, 2655, 4724, 1829, 39648, 1829, 288, 6055, 3794, 995, 45865, 2674, 2031, 2423, 3732, 5593, 24976, 2031, 8978, 23565, 17340, 2423, 3732, 5593, 24976, 2031, 28242, 3224, 5551, 3794, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 47525, 8315, 288, 5835, 6055, 3794, 995, 45865, 7251, 15040, 6156, 37983, 11536, 1829, 8978, 9673, 2407, 11242, 45367], "avg_logprob": -0.25499488486618294, "compression_ratio": 1.4423076923076923, "no_speech_prob": 0.0, "words": [{"start": 2536.19, "end": 2536.73, "word": "سؤال", "probability": 0.812255859375}, {"start": 2536.73, "end": 2537.23, "word": " التالت", "probability": 0.8680013020833334}, {"start": 2537.23, "end": 2537.83, "word": " بيقولي", "probability": 0.716064453125}, {"start": 2537.83, "end": 2538.41, "word": " y", "probability": 0.355712890625}, {"start": 2538.41, "end": 2539.27, "word": " تساوي", "probability": 0.81292724609375}, {"start": 2539.27, "end": 2540.53, "word": " general", "probability": 0.33251953125}, {"start": 2540.53, "end": 2541.23, "word": " x", "probability": 0.888671875}, {"start": 2541.23, "end": 2541.43, "word": " ال", "probability": 0.12890625}, {"start": 2541.43, "end": 2541.77, "word": " square", "probability": 0.83251953125}, {"start": 2541.77, "end": 2542.21, "word": " root", "probability": 0.90185546875}, {"start": 2542.21, "end": 2542.49, "word": " لل", "probability": 0.76220703125}, {"start": 2542.49, "end": 2542.91, "word": " x", "probability": 0.60546875}, {"start": 2542.91, "end": 2543.49, "word": " في", "probability": 0.87548828125}, {"start": 2543.49, "end": 2544.09, "word": " cosine", "probability": 0.65966796875}, {"start": 2544.09, "end": 2545.01, "word": " inverse", "probability": 0.93798828125}, {"start": 2545.01, "end": 2545.55, "word": " ال", "probability": 0.8134765625}, {"start": 2545.55, "end": 2545.95, "word": " square", "probability": 0.92236328125}, {"start": 2545.95, "end": 2546.33, "word": " root", "probability": 0.9296875}, {"start": 2546.33, "end": 2546.55, "word": " لل", "probability": 0.9609375}, {"start": 2546.55, "end": 2546.83, "word": " x", "probability": 0.787109375}, {"start": 2546.83, "end": 2547.45, "word": " كله", "probability": 0.898681640625}, {"start": 2547.45, "end": 2547.87, "word": " أس", "probability": 0.696044921875}, {"start": 2547.87, "end": 2548.69, "word": " أربعة", "probability": 0.701171875}, {"start": 2548.69, "end": 2549.85, "word": " يبقى", "probability": 0.8646240234375}, {"start": 2549.85, "end": 2550.25, "word": " بدنا", "probability": 0.88330078125}, {"start": 2550.25, "end": 2551.01, "word": " y", "probability": 0.94140625}, {"start": 2551.01, "end": 2551.81, "word": " prime", "probability": 0.59912109375}, {"start": 2551.81, "end": 2552.85, "word": " تساوي", "probability": 0.9765625}, {"start": 2552.85, "end": 2561.75, "word": " يلا", "probability": 0.656494140625}, {"start": 2561.75, "end": 2562.35, "word": " فكروني", "probability": 0.809326171875}, {"start": 2562.35, "end": 2562.45, "word": " في", "probability": 0.931640625}, {"start": 2562.45, "end": 2562.99, "word": " الموضوع", "probability": 0.9967041015625}], "temperature": 1.0}, {"id": 113, "seek": 258778, "start": 2563.6, "end": 2587.78, "text": "كيف بننحل السؤال هذا؟ طلعنا كويسة يباشر من هنا عصر البرد دل تاني يبقى الدل الأولى", "tokens": [4117, 33911, 44945, 1863, 5016, 1211, 21136, 33604, 6027, 23758, 22807, 23032, 1211, 3615, 8315, 9122, 45865, 3794, 3660, 7251, 3555, 33599, 2288, 9154, 34105, 6225, 9381, 2288, 2423, 26890, 3215, 11778, 1211, 6055, 7649, 1829, 7251, 3555, 4587, 7578, 32748, 1211, 16247, 12610, 7578], "avg_logprob": -0.4120244474514671, "compression_ratio": 1.348623853211009, "no_speech_prob": 0.0, "words": [{"start": 2563.6, "end": 2564.06, "word": "كيف", "probability": 0.70263671875}, {"start": 2564.06, "end": 2564.96, "word": " بننحل", "probability": 0.617919921875}, {"start": 2564.96, "end": 2566.34, "word": " السؤال", "probability": 0.96435546875}, {"start": 2566.34, "end": 2578.14, "word": " هذا؟", "probability": 0.5286865234375}, {"start": 2578.14, "end": 2579.38, "word": " طلعنا", "probability": 0.6495361328125}, {"start": 2579.38, "end": 2580.1, "word": " كويسة", "probability": 0.8353271484375}, {"start": 2580.1, "end": 2581.42, "word": " يباشر", "probability": 0.5295562744140625}, {"start": 2581.42, "end": 2581.56, "word": " من", "probability": 0.453369140625}, {"start": 2581.56, "end": 2582.0, "word": " هنا", "probability": 0.98974609375}, {"start": 2582.0, "end": 2584.72, "word": " عصر", "probability": 0.6333821614583334}, {"start": 2584.72, "end": 2585.26, "word": " البرد", "probability": 0.6442057291666666}, {"start": 2585.26, "end": 2585.82, "word": " دل", "probability": 0.3116455078125}, {"start": 2585.82, "end": 2586.28, "word": " تاني", "probability": 0.7989908854166666}, {"start": 2586.28, "end": 2586.7, "word": " يبقى", "probability": 0.932373046875}, {"start": 2586.7, "end": 2587.16, "word": " الدل", "probability": 0.8603515625}, {"start": 2587.16, "end": 2587.78, "word": " الأولى", "probability": 0.9456380208333334}], "temperature": 1.0}, {"id": 114, "seek": 259673, "start": 2588.99, "end": 2596.73, "text": "في مستقلة دولتنا التانية جوس مرفوع لأس يبقى الأس في الجوس", "tokens": [41185, 3714, 14851, 4587, 37977, 11778, 12610, 2655, 8315, 16712, 7649, 10632, 10874, 41779, 3714, 28480, 45367, 5296, 10721, 3794, 7251, 3555, 4587, 7578, 16247, 3794, 8978, 25724, 41779], "avg_logprob": -0.3054687549670537, "compression_ratio": 1.2682926829268293, "no_speech_prob": 0.0, "words": [{"start": 2588.99, "end": 2589.21, "word": "في", "probability": 0.30712890625}, {"start": 2589.21, "end": 2589.89, "word": " مستقلة", "probability": 0.63226318359375}, {"start": 2589.89, "end": 2590.59, "word": " دولتنا", "probability": 0.822509765625}, {"start": 2590.59, "end": 2591.17, "word": " التانية", "probability": 0.7902018229166666}, {"start": 2591.17, "end": 2591.75, "word": " جوس", "probability": 0.4462890625}, {"start": 2591.75, "end": 2592.37, "word": " مرفوع", "probability": 0.8653971354166666}, {"start": 2592.37, "end": 2592.91, "word": " لأس", "probability": 0.7794596354166666}, {"start": 2592.91, "end": 2594.09, "word": " يبقى", "probability": 0.953125}, {"start": 2594.09, "end": 2594.69, "word": " الأس", "probability": 0.9306640625}, {"start": 2594.69, "end": 2595.95, "word": " في", "probability": 0.96240234375}, {"start": 2595.95, "end": 2596.73, "word": " الجوس", "probability": 0.8525390625}], "temperature": 1.0}, {"id": 115, "seek": 262516, "start": 2598.44, "end": 2625.16, "text": "مرفوعة لنفس القص مطروح منه في مشتقة مداخل القوس اللي هو مين؟ سالب واحد على واحد زائد مربع هذا اللي هو جذر ال X الكل تربيه في مين؟ في مشتقة الزاوية اللي هو قداشر واحد على اتنين جذر ال X", "tokens": [2304, 28480, 2407, 27884, 5296, 1863, 36178, 25062, 9381, 3714, 9566, 32887, 5016, 9154, 3224, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 25062, 41779, 13672, 1829, 31439, 3714, 9957, 22807, 8608, 6027, 3555, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 3714, 25513, 3615, 23758, 13672, 1829, 31439, 10874, 8848, 2288, 2423, 1783, 2423, 28820, 6055, 2288, 21292, 3224, 8978, 3714, 9957, 22807, 8978, 37893, 2655, 28671, 6024, 110, 995, 2407, 10632, 13672, 1829, 31439, 12174, 3215, 33599, 2288, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 2423, 1783], "avg_logprob": -0.1631384434238557, "compression_ratio": 1.9698795180722892, "no_speech_prob": 0.0, "words": [{"start": 2598.44, "end": 2599.26, "word": "مرفوعة", "probability": 0.71453857421875}, {"start": 2599.26, "end": 2599.72, "word": " لنفس", "probability": 0.9296875}, {"start": 2599.72, "end": 2600.16, "word": " القص", "probability": 0.483154296875}, {"start": 2600.16, "end": 2600.74, "word": " مطروح", "probability": 0.8988037109375}, {"start": 2600.74, "end": 2601.32, "word": " منه", "probability": 0.9521484375}, {"start": 2601.32, "end": 2602.18, "word": " في", "probability": 0.6904296875}, {"start": 2602.18, "end": 2603.0, "word": " مشتقة", "probability": 0.87841796875}, {"start": 2603.0, "end": 2603.96, "word": " مداخل", "probability": 0.93017578125}, {"start": 2603.96, "end": 2604.72, "word": " القوس", "probability": 0.911376953125}, {"start": 2604.72, "end": 2605.14, "word": " اللي", "probability": 0.6917724609375}, {"start": 2605.14, "end": 2605.32, "word": " هو", "probability": 0.87841796875}, {"start": 2605.32, "end": 2606.04, "word": " مين؟", "probability": 0.8312174479166666}, {"start": 2606.04, "end": 2606.92, "word": " سالب", "probability": 0.7932942708333334}, {"start": 2606.92, "end": 2608.12, "word": " واحد", "probability": 0.947509765625}, {"start": 2608.12, "end": 2608.74, "word": " على", "probability": 0.7412109375}, {"start": 2608.74, "end": 2609.46, "word": " واحد", "probability": 0.978759765625}, {"start": 2609.46, "end": 2610.56, "word": " زائد", "probability": 0.8977864583333334}, {"start": 2610.56, "end": 2611.3, "word": " مربع", "probability": 0.98046875}, {"start": 2611.3, "end": 2611.76, "word": " هذا", "probability": 0.96044921875}, {"start": 2611.76, "end": 2612.34, "word": " اللي", "probability": 0.82470703125}, {"start": 2612.34, "end": 2612.54, "word": " هو", "probability": 0.98291015625}, {"start": 2612.54, "end": 2613.02, "word": " جذر", "probability": 0.9718424479166666}, {"start": 2613.02, "end": 2613.26, "word": " ال", "probability": 0.88037109375}, {"start": 2613.26, "end": 2613.6, "word": " X", "probability": 0.56103515625}, {"start": 2613.6, "end": 2614.44, "word": " الكل", "probability": 0.691162109375}, {"start": 2614.44, "end": 2615.56, "word": " تربيه", "probability": 0.8262939453125}, {"start": 2615.56, "end": 2616.0, "word": " في", "probability": 0.71923828125}, {"start": 2616.0, "end": 2616.9, "word": " مين؟", "probability": 0.9217122395833334}, {"start": 2616.9, "end": 2617.26, "word": " في", "probability": 0.89892578125}, {"start": 2617.26, "end": 2618.26, "word": " مشتقة", "probability": 0.9803059895833334}, {"start": 2618.26, "end": 2619.8, "word": " الزاوية", "probability": 0.90439453125}, {"start": 2619.8, "end": 2620.28, "word": " اللي", "probability": 0.97314453125}, {"start": 2620.28, "end": 2620.42, "word": " هو", "probability": 0.87353515625}, {"start": 2620.42, "end": 2621.36, "word": " قداشر", "probability": 0.68994140625}, {"start": 2621.36, "end": 2622.34, "word": " واحد", "probability": 0.94287109375}, {"start": 2622.34, "end": 2622.98, "word": " على", "probability": 0.87744140625}, {"start": 2622.98, "end": 2623.94, "word": " اتنين", "probability": 0.966552734375}, {"start": 2623.94, "end": 2624.68, "word": " جذر", "probability": 0.97265625}, {"start": 2624.68, "end": 2624.86, "word": " ال", "probability": 0.93896484375}, {"start": 2624.86, "end": 2625.16, "word": " X", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 116, "seek": 265501, "start": 2625.93, "end": 2655.01, "text": "يبقى كل اللي عملناها الكلكة علي كتيرة لسه الأول في مشتقت التاني زائد التاني زائد cosine inverse لجذر ال X الكل أس أربعة في مشتقة جذر ال X لواحد على اتنين جذر ال X واحد على اتنين جذر ال X طبعا في اختصارات هذه X جذر ال X في المقام وجذر ال X في البصر", "tokens": [1829, 3555, 4587, 7578, 28242, 13672, 1829, 6225, 42213, 8315, 11296, 33251, 23275, 3660, 25894, 9122, 2655, 48923, 5296, 3794, 3224, 16247, 12610, 8978, 37893, 2655, 38149, 16712, 7649, 1829, 30767, 16373, 3215, 16712, 7649, 1829, 30767, 16373, 3215, 23565, 17340, 5296, 7435, 8848, 2288, 2423, 1783, 2423, 28820, 5551, 3794, 5551, 25513, 27884, 8978, 37893, 2655, 28671, 10874, 8848, 2288, 2423, 1783, 5296, 14407, 24401, 15844, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 2423, 1783, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 2423, 1783, 23032, 3555, 3615, 995, 8978, 1975, 46456, 9381, 9640, 9307, 29538, 1783, 10874, 8848, 2288, 2423, 1783, 8978, 9673, 4587, 10943, 49610, 8848, 2288, 2423, 1783, 8978, 29739, 9381, 2288], "avg_logprob": -0.17213760378981838, "compression_ratio": 2.0792079207920793, "no_speech_prob": 0.0, "words": [{"start": 2625.93, "end": 2626.37, "word": "يبقى", "probability": 0.72576904296875}, {"start": 2626.37, "end": 2626.71, "word": " كل", "probability": 0.61376953125}, {"start": 2626.71, "end": 2626.87, "word": " اللي", "probability": 0.74169921875}, {"start": 2626.87, "end": 2627.39, "word": " عملناها", "probability": 0.9256591796875}, {"start": 2627.39, "end": 2627.83, "word": " الكلكة", "probability": 0.6409505208333334}, {"start": 2627.83, "end": 2627.97, "word": " علي", "probability": 0.38623046875}, {"start": 2627.97, "end": 2628.29, "word": " كتيرة", "probability": 0.6814778645833334}, {"start": 2628.29, "end": 2628.71, "word": " لسه", "probability": 0.8564453125}, {"start": 2628.71, "end": 2629.15, "word": " الأول", "probability": 0.904296875}, {"start": 2629.15, "end": 2629.33, "word": " في", "probability": 0.8974609375}, {"start": 2629.33, "end": 2629.87, "word": " مشتقت", "probability": 0.8160807291666666}, {"start": 2629.87, "end": 2630.49, "word": " التاني", "probability": 0.89501953125}, {"start": 2630.49, "end": 2631.65, "word": " زائد", "probability": 0.7609049479166666}, {"start": 2631.65, "end": 2632.83, "word": " التاني", "probability": 0.9484049479166666}, {"start": 2632.83, "end": 2634.09, "word": " زائد", "probability": 0.9010416666666666}, {"start": 2634.09, "end": 2634.89, "word": " cosine", "probability": 0.759765625}, {"start": 2634.89, "end": 2635.97, "word": " inverse", "probability": 0.84912109375}, {"start": 2635.97, "end": 2636.87, "word": " لجذر", "probability": 0.914794921875}, {"start": 2636.87, "end": 2637.13, "word": " ال", "probability": 0.9287109375}, {"start": 2637.13, "end": 2637.43, "word": " X", "probability": 0.625}, {"start": 2637.43, "end": 2638.01, "word": " الكل", "probability": 0.761962890625}, {"start": 2638.01, "end": 2638.45, "word": " أس", "probability": 0.633056640625}, {"start": 2638.45, "end": 2639.07, "word": " أربعة", "probability": 0.775634765625}, {"start": 2639.07, "end": 2639.65, "word": " في", "probability": 0.82958984375}, {"start": 2639.65, "end": 2640.37, "word": " مشتقة", "probability": 0.8401692708333334}, {"start": 2640.37, "end": 2640.85, "word": " جذر", "probability": 0.9910481770833334}, {"start": 2640.85, "end": 2641.09, "word": " ال", "probability": 0.923828125}, {"start": 2641.09, "end": 2641.41, "word": " X", "probability": 0.986328125}, {"start": 2641.41, "end": 2642.61, "word": " لواحد", "probability": 0.8644205729166666}, {"start": 2642.61, "end": 2642.87, "word": " على", "probability": 0.8037109375}, {"start": 2642.87, "end": 2643.45, "word": " اتنين", "probability": 0.96923828125}, {"start": 2643.45, "end": 2643.97, "word": " جذر", "probability": 0.9908854166666666}, {"start": 2643.97, "end": 2644.17, "word": " ال", "probability": 0.962890625}, {"start": 2644.17, "end": 2644.45, "word": " X", "probability": 0.99267578125}, {"start": 2644.45, "end": 2645.45, "word": " واحد", "probability": 0.779052734375}, {"start": 2645.45, "end": 2645.85, "word": " على", "probability": 0.85595703125}, {"start": 2645.85, "end": 2646.57, "word": " اتنين", "probability": 0.9857177734375}, {"start": 2646.57, "end": 2647.59, "word": " جذر", "probability": 0.9928385416666666}, {"start": 2647.59, "end": 2647.79, "word": " ال", "probability": 0.97265625}, {"start": 2647.79, "end": 2648.07, "word": " X", "probability": 0.99658203125}, {"start": 2648.07, "end": 2648.83, "word": " طبعا", "probability": 0.9757080078125}, {"start": 2648.83, "end": 2648.99, "word": " في", "probability": 0.6005859375}, {"start": 2648.99, "end": 2650.01, "word": " اختصارات", "probability": 0.96845703125}, {"start": 2650.01, "end": 2650.81, "word": " هذه", "probability": 0.39892578125}, {"start": 2650.81, "end": 2651.29, "word": " X", "probability": 0.841796875}, {"start": 2651.29, "end": 2651.79, "word": " جذر", "probability": 0.98828125}, {"start": 2651.79, "end": 2651.93, "word": " ال", "probability": 0.92138671875}, {"start": 2651.93, "end": 2652.15, "word": " X", "probability": 0.990234375}, {"start": 2652.15, "end": 2652.33, "word": " في", "probability": 0.95263671875}, {"start": 2652.33, "end": 2652.97, "word": " المقام", "probability": 0.9915364583333334}, {"start": 2652.97, "end": 2653.91, "word": " وجذر", "probability": 0.9280598958333334}, {"start": 2653.91, "end": 2654.07, "word": " ال", "probability": 0.93115234375}, {"start": 2654.07, "end": 2654.31, "word": " X", "probability": 0.99169921875}, {"start": 2654.31, "end": 2654.51, "word": " في", "probability": 0.96435546875}, {"start": 2654.51, "end": 2655.01, "word": " البصر", "probability": 0.7316080729166666}], "temperature": 1.0}, {"id": 117, "seek": 268216, "start": 2655.38, "end": 2682.16, "text": "أتنين هذه وهنا أربعة بظل اتنين يبقى أصبحت النتيجة كالتالي يبقى أن هذا كله ناقص اتنين وهنا cosine inverse لجذر ال X الكل تكيب عالمين واحد زائد X فقط لا غير هذا الجسم الأول", "tokens": [10721, 2655, 1863, 9957, 29538, 37037, 8315, 5551, 25513, 27884, 4724, 19913, 1211, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 5551, 9381, 3555, 33753, 28239, 31371, 7435, 3660, 9122, 6027, 2655, 6027, 1829, 7251, 3555, 4587, 7578, 14739, 23758, 28242, 3224, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 37037, 8315, 23565, 17340, 5296, 7435, 8848, 2288, 2423, 1783, 2423, 28820, 6055, 4117, 1829, 3555, 6225, 45340, 9957, 36764, 24401, 30767, 16373, 3215, 1783, 6156, 47432, 20193, 32771, 13546, 23758, 25724, 38251, 16247, 12610], "avg_logprob": -0.1958575593524201, "compression_ratio": 1.6312849162011174, "no_speech_prob": 0.0, "words": [{"start": 2655.38, "end": 2656.26, "word": "أتنين", "probability": 0.6571884155273438}, {"start": 2656.26, "end": 2656.82, "word": " هذه", "probability": 0.5634765625}, {"start": 2656.82, "end": 2657.86, "word": " وهنا", "probability": 0.75927734375}, {"start": 2657.86, "end": 2658.62, "word": " أربعة", "probability": 0.8937174479166666}, {"start": 2658.62, "end": 2659.44, "word": " بظل", "probability": 0.5980631510416666}, {"start": 2659.44, "end": 2660.12, "word": " اتنين", "probability": 0.9132080078125}, {"start": 2660.12, "end": 2661.14, "word": " يبقى", "probability": 0.95458984375}, {"start": 2661.14, "end": 2661.84, "word": " أصبحت", "probability": 0.9263916015625}, {"start": 2661.84, "end": 2662.64, "word": " النتيجة", "probability": 0.9237060546875}, {"start": 2662.64, "end": 2663.66, "word": " كالتالي", "probability": 0.84970703125}, {"start": 2663.66, "end": 2664.8, "word": " يبقى", "probability": 0.9888916015625}, {"start": 2664.8, "end": 2665.1, "word": " أن", "probability": 0.49169921875}, {"start": 2665.1, "end": 2665.48, "word": " هذا", "probability": 0.92236328125}, {"start": 2665.48, "end": 2666.18, "word": " كله", "probability": 0.985595703125}, {"start": 2666.18, "end": 2667.34, "word": " ناقص", "probability": 0.8763427734375}, {"start": 2667.34, "end": 2668.44, "word": " اتنين", "probability": 0.968017578125}, {"start": 2668.44, "end": 2669.66, "word": " وهنا", "probability": 0.77490234375}, {"start": 2669.66, "end": 2670.48, "word": " cosine", "probability": 0.53271484375}, {"start": 2670.48, "end": 2671.42, "word": " inverse", "probability": 0.93115234375}, {"start": 2671.42, "end": 2672.2, "word": " لجذر", "probability": 0.9490966796875}, {"start": 2672.2, "end": 2672.42, "word": " ال", "probability": 0.91650390625}, {"start": 2672.42, "end": 2672.82, "word": " X", "probability": 0.7353515625}, {"start": 2672.82, "end": 2673.84, "word": " الكل", "probability": 0.705078125}, {"start": 2673.84, "end": 2674.66, "word": " تكيب", "probability": 0.900634765625}, {"start": 2674.66, "end": 2676.16, "word": " عالمين", "probability": 0.8806966145833334}, {"start": 2676.16, "end": 2677.34, "word": " واحد", "probability": 0.940185546875}, {"start": 2677.34, "end": 2678.7, "word": " زائد", "probability": 0.8854166666666666}, {"start": 2678.7, "end": 2679.24, "word": " X", "probability": 0.95166015625}, {"start": 2679.24, "end": 2680.24, "word": " فقط", "probability": 0.97265625}, {"start": 2680.24, "end": 2680.54, "word": " لا", "probability": 0.31201171875}, {"start": 2680.54, "end": 2680.74, "word": " غير", "probability": 0.9443359375}, {"start": 2680.74, "end": 2681.4, "word": " هذا", "probability": 0.87841796875}, {"start": 2681.4, "end": 2681.8, "word": " الجسم", "probability": 0.73291015625}, {"start": 2681.8, "end": 2682.16, "word": " الأول", "probability": 0.906005859375}], "temperature": 1.0}, {"id": 118, "seek": 271028, "start": 2682.48, "end": 2710.28, "text": "الجزء التاني مش فيه اختصارات يبقى يبقى كما هو cosine inverse لجدر ال X الكل أس أربعة على اتنين جدر ال X الخطوة ليه المرة التانية قال يبقى بالك معايا كويس صح صح اللي كان سرحان اللي مش فاهم اللي ناسي ايه اللي ايه اللي يخلمك معايا", "tokens": [6027, 7435, 11622, 38207, 16712, 7649, 1829, 37893, 8978, 3224, 1975, 46456, 9381, 9640, 9307, 7251, 3555, 4587, 7578, 7251, 3555, 4587, 7578, 9122, 15042, 31439, 23565, 17340, 5296, 7435, 3215, 2288, 2423, 1783, 2423, 28820, 5551, 3794, 5551, 25513, 27884, 15844, 1975, 2655, 1863, 9957, 10874, 3215, 2288, 2423, 1783, 33962, 9566, 2407, 3660, 32239, 3224, 9673, 25720, 16712, 7649, 10632, 50239, 7251, 3555, 4587, 7578, 20666, 4117, 20449, 995, 25528, 9122, 45865, 3794, 20328, 5016, 20328, 5016, 13672, 1829, 25961, 8608, 2288, 5016, 7649, 13672, 1829, 37893, 6156, 995, 16095, 13672, 1829, 8717, 32277, 1829, 1975, 1829, 3224, 13672, 1829, 1975, 1829, 3224, 13672, 1829, 7251, 9778, 19528, 4117, 20449, 995, 25528], "avg_logprob": -0.2586956402529841, "compression_ratio": 1.8894230769230769, "no_speech_prob": 0.0, "words": [{"start": 2682.48, "end": 2683.04, "word": "الجزء", "probability": 0.9239501953125}, {"start": 2683.04, "end": 2683.68, "word": " التاني", "probability": 0.7517903645833334}, {"start": 2683.68, "end": 2684.38, "word": " مش", "probability": 0.224365234375}, {"start": 2684.38, "end": 2684.68, "word": " فيه", "probability": 0.92333984375}, {"start": 2684.68, "end": 2685.56, "word": " اختصارات", "probability": 0.97705078125}, {"start": 2685.56, "end": 2686.4, "word": " يبقى", "probability": 0.9534912109375}, {"start": 2686.4, "end": 2687.08, "word": " يبقى", "probability": 0.82781982421875}, {"start": 2687.08, "end": 2687.52, "word": " كما", "probability": 0.98193359375}, {"start": 2687.52, "end": 2688.02, "word": " هو", "probability": 0.99609375}, {"start": 2688.02, "end": 2688.72, "word": " cosine", "probability": 0.2296142578125}, {"start": 2688.72, "end": 2689.3, "word": " inverse", "probability": 0.91796875}, {"start": 2689.3, "end": 2689.82, "word": " لجدر", "probability": 0.76849365234375}, {"start": 2689.82, "end": 2690.0, "word": " ال", "probability": 0.8837890625}, {"start": 2690.0, "end": 2690.24, "word": " X", "probability": 0.7353515625}, {"start": 2690.24, "end": 2690.66, "word": " الكل", "probability": 0.7247314453125}, {"start": 2690.66, "end": 2690.98, "word": " أس", "probability": 0.514892578125}, {"start": 2690.98, "end": 2691.62, "word": " أربعة", "probability": 0.7108561197916666}, {"start": 2691.62, "end": 2692.42, "word": " على", "probability": 0.587890625}, {"start": 2692.42, "end": 2693.26, "word": " اتنين", "probability": 0.9219970703125}, {"start": 2693.26, "end": 2694.06, "word": " جدر", "probability": 0.9871419270833334}, {"start": 2694.06, "end": 2694.5, "word": " ال", "probability": 0.83544921875}, {"start": 2694.5, "end": 2694.82, "word": " X", "probability": 0.9853515625}, {"start": 2694.82, "end": 2698.98, "word": " الخطوة", "probability": 0.873046875}, {"start": 2698.98, "end": 2699.22, "word": " ليه", "probability": 0.62158203125}, {"start": 2699.22, "end": 2699.52, "word": " المرة", "probability": 0.57568359375}, {"start": 2699.52, "end": 2700.04, "word": " التانية", "probability": 0.9195963541666666}, {"start": 2700.04, "end": 2700.78, "word": " قال", "probability": 0.5009765625}, {"start": 2700.78, "end": 2700.94, "word": " يبقى", "probability": 0.7864990234375}, {"start": 2700.94, "end": 2701.14, "word": " بالك", "probability": 0.523712158203125}, {"start": 2701.14, "end": 2701.38, "word": " معايا", "probability": 0.7561848958333334}, {"start": 2701.38, "end": 2701.76, "word": " كويس", "probability": 0.9723307291666666}, {"start": 2701.76, "end": 2703.26, "word": " صح", "probability": 0.976318359375}, {"start": 2703.26, "end": 2704.14, "word": " صح", "probability": 0.9453125}, {"start": 2704.14, "end": 2704.52, "word": " اللي", "probability": 0.89794921875}, {"start": 2704.52, "end": 2704.8, "word": " كان", "probability": 0.9501953125}, {"start": 2704.8, "end": 2705.5, "word": " سرحان", "probability": 0.928466796875}, {"start": 2705.5, "end": 2706.48, "word": " اللي", "probability": 0.95654296875}, {"start": 2706.48, "end": 2706.9, "word": " مش", "probability": 0.96142578125}, {"start": 2706.9, "end": 2707.44, "word": " فاهم", "probability": 0.986328125}, {"start": 2707.44, "end": 2708.04, "word": " اللي", "probability": 0.9736328125}, {"start": 2708.04, "end": 2708.7, "word": " ناسي", "probability": 0.9384765625}, {"start": 2708.7, "end": 2709.02, "word": " ايه", "probability": 0.5706787109375}, {"start": 2709.02, "end": 2709.14, "word": " اللي", "probability": 0.94970703125}, {"start": 2709.14, "end": 2709.36, "word": " ايه", "probability": 0.7689615885416666}, {"start": 2709.36, "end": 2709.48, "word": " اللي", "probability": 0.68505859375}, {"start": 2709.48, "end": 2709.96, "word": " يخلمك", "probability": 0.75115966796875}, {"start": 2709.96, "end": 2710.28, "word": " معايا", "probability": 0.6277669270833334}], "temperature": 1.0}, {"id": 119, "seek": 273121, "start": 2711.09, "end": 2731.21, "text": "هذا المثل اللي عناه يبقى احنا عنا هذه دالة هذه function وهذه function تانية إذا السؤال هو مشتقة حاصل ضارب دالتين مضايق اقوله الدالة الأولى في مشتقة الدالة الثانية الدالة الأولى جذر ال X", "tokens": [3224, 15730, 9673, 12984, 1211, 13672, 1829, 6225, 8315, 3224, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 6225, 8315, 29538, 11778, 6027, 3660, 29538, 2445, 37037, 24192, 2445, 6055, 7649, 10632, 11933, 15730, 21136, 33604, 6027, 31439, 37893, 2655, 28671, 11331, 33546, 1211, 48812, 9640, 3555, 11778, 6027, 2655, 9957, 3714, 11242, 47302, 4587, 1975, 39648, 3224, 32748, 6027, 3660, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 6024, 104, 7649, 10632, 32748, 6027, 3660, 16247, 12610, 7578, 10874, 8848, 2288, 2423, 1783], "avg_logprob": -0.26580669505651605, "compression_ratio": 1.9047619047619047, "no_speech_prob": 0.0, "words": [{"start": 2711.09, "end": 2711.73, "word": "هذا", "probability": 0.856201171875}, {"start": 2711.73, "end": 2712.81, "word": " المثل", "probability": 0.7049153645833334}, {"start": 2712.81, "end": 2712.95, "word": " اللي", "probability": 0.703125}, {"start": 2712.95, "end": 2713.39, "word": " عناه", "probability": 0.4568684895833333}, {"start": 2713.39, "end": 2714.35, "word": " يبقى", "probability": 0.78009033203125}, {"start": 2714.35, "end": 2714.79, "word": " احنا", "probability": 0.8859049479166666}, {"start": 2714.79, "end": 2715.27, "word": " عنا", "probability": 0.759765625}, {"start": 2715.27, "end": 2716.19, "word": " هذه", "probability": 0.414794921875}, {"start": 2716.19, "end": 2716.91, "word": " دالة", "probability": 0.9632161458333334}, {"start": 2716.91, "end": 2717.25, "word": " هذه", "probability": 0.25146484375}, {"start": 2717.25, "end": 2717.91, "word": " function", "probability": 0.91552734375}, {"start": 2717.91, "end": 2719.21, "word": " وهذه", "probability": 0.812744140625}, {"start": 2719.21, "end": 2719.91, "word": " function", "probability": 0.912109375}, {"start": 2719.91, "end": 2720.51, "word": " تانية", "probability": 0.9651692708333334}, {"start": 2720.51, "end": 2721.11, "word": " إذا", "probability": 0.5816650390625}, {"start": 2721.11, "end": 2721.57, "word": " السؤال", "probability": 0.91748046875}, {"start": 2721.57, "end": 2721.83, "word": " هو", "probability": 0.72021484375}, {"start": 2721.83, "end": 2722.49, "word": " مشتقة", "probability": 0.7356770833333334}, {"start": 2722.49, "end": 2723.07, "word": " حاصل", "probability": 0.7338053385416666}, {"start": 2723.07, "end": 2723.81, "word": " ضارب", "probability": 0.978515625}, {"start": 2723.81, "end": 2724.73, "word": " دالتين", "probability": 0.8587646484375}, {"start": 2724.73, "end": 2725.57, "word": " مضايق", "probability": 0.514129638671875}, {"start": 2725.57, "end": 2726.03, "word": " اقوله", "probability": 0.6365559895833334}, {"start": 2726.03, "end": 2726.57, "word": " الدالة", "probability": 0.9705403645833334}, {"start": 2726.57, "end": 2727.03, "word": " الأولى", "probability": 0.966796875}, {"start": 2727.03, "end": 2727.17, "word": " في", "probability": 0.95361328125}, {"start": 2727.17, "end": 2727.87, "word": " مشتقة", "probability": 0.94482421875}, {"start": 2727.87, "end": 2728.57, "word": " الدالة", "probability": 0.9847005208333334}, {"start": 2728.57, "end": 2729.15, "word": " الثانية", "probability": 0.861083984375}, {"start": 2729.15, "end": 2730.01, "word": " الدالة", "probability": 0.9713541666666666}, {"start": 2730.01, "end": 2730.41, "word": " الأولى", "probability": 0.98583984375}, {"start": 2730.41, "end": 2730.77, "word": " جذر", "probability": 0.83984375}, {"start": 2730.77, "end": 2730.95, "word": " ال", "probability": 0.93359375}, {"start": 2730.95, "end": 2731.21, "word": " X", "probability": 0.6943359375}], "temperature": 1.0}, {"id": 120, "seek": 274987, "start": 2731.57, "end": 2749.87, "text": "الدالة التانية جوص ومرفوعة لأس في كل قلص ايه علبوكوا المدرسين ان شودة الاس في الجوص مرفوعة لنفس الاس مطرح من واحد فيه مشتقة مداخل القواص مش هيك بدنا نترجمها عرفيا يبقى هذا الاس", "tokens": [6027, 3215, 6027, 3660, 16712, 7649, 10632, 10874, 2407, 9381, 4032, 29973, 5172, 2407, 27884, 5296, 10721, 3794, 8978, 28242, 12174, 1211, 9381, 1975, 1829, 3224, 11203, 3555, 2407, 4117, 14407, 9673, 3215, 2288, 3794, 9957, 16472, 13412, 23328, 3660, 2423, 32277, 8978, 25724, 2407, 9381, 3714, 28480, 2407, 27884, 5296, 1863, 36178, 2423, 32277, 3714, 9566, 2288, 5016, 9154, 36764, 24401, 8978, 3224, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 25062, 2407, 33546, 37893, 39896, 4117, 47525, 8315, 8717, 2655, 47341, 2304, 11296, 6225, 28480, 25528, 7251, 3555, 4587, 7578, 23758, 2423, 32277], "avg_logprob": -0.3032894780761317, "compression_ratio": 1.822857142857143, "no_speech_prob": 0.0, "words": [{"start": 2731.57, "end": 2732.35, "word": "الدالة", "probability": 0.740478515625}, {"start": 2732.35, "end": 2732.77, "word": " التانية", "probability": 0.8684895833333334}, {"start": 2732.77, "end": 2733.49, "word": " جوص", "probability": 0.4143473307291667}, {"start": 2733.49, "end": 2734.31, "word": " ومرفوعة", "probability": 0.74951171875}, {"start": 2734.31, "end": 2734.69, "word": " لأس", "probability": 0.4937540690104167}, {"start": 2734.69, "end": 2735.19, "word": " في", "probability": 0.681640625}, {"start": 2735.19, "end": 2735.47, "word": " كل", "probability": 0.939453125}, {"start": 2735.47, "end": 2735.89, "word": " قلص", "probability": 0.76611328125}, {"start": 2735.89, "end": 2736.15, "word": " ايه", "probability": 0.558349609375}, {"start": 2736.15, "end": 2736.69, "word": " علبوكوا", "probability": 0.80185546875}, {"start": 2736.69, "end": 2737.29, "word": " المدرسين", "probability": 0.89462890625}, {"start": 2737.29, "end": 2737.53, "word": " ان", "probability": 0.203857421875}, {"start": 2737.53, "end": 2738.37, "word": " شودة", "probability": 0.6251627604166666}, {"start": 2738.37, "end": 2739.59, "word": " الاس", "probability": 0.5037841796875}, {"start": 2739.59, "end": 2739.83, "word": " في", "probability": 0.9189453125}, {"start": 2739.83, "end": 2740.41, "word": " الجوص", "probability": 0.8326822916666666}, {"start": 2740.41, "end": 2740.85, "word": " مرفوعة", "probability": 0.8878173828125}, {"start": 2740.85, "end": 2741.13, "word": " لنفس", "probability": 0.9659830729166666}, {"start": 2741.13, "end": 2741.39, "word": " الاس", "probability": 0.799072265625}, {"start": 2741.39, "end": 2741.83, "word": " مطرح", "probability": 0.8291015625}, {"start": 2741.83, "end": 2741.97, "word": " من", "probability": 0.95458984375}, {"start": 2741.97, "end": 2742.47, "word": " واحد", "probability": 0.87060546875}, {"start": 2742.47, "end": 2742.93, "word": " فيه", "probability": 0.6131591796875}, {"start": 2742.93, "end": 2743.41, "word": " مشتقة", "probability": 0.87646484375}, {"start": 2743.41, "end": 2743.91, "word": " مداخل", "probability": 0.93603515625}, {"start": 2743.91, "end": 2744.33, "word": " القواص", "probability": 0.736328125}, {"start": 2744.33, "end": 2744.51, "word": " مش", "probability": 0.6943359375}, {"start": 2744.51, "end": 2744.97, "word": " هيك", "probability": 0.792724609375}, {"start": 2744.97, "end": 2745.93, "word": " بدنا", "probability": 0.6820068359375}, {"start": 2745.93, "end": 2746.59, "word": " نترجمها", "probability": 0.98349609375}, {"start": 2746.59, "end": 2747.19, "word": " عرفيا", "probability": 0.92333984375}, {"start": 2747.19, "end": 2748.99, "word": " يبقى", "probability": 0.844970703125}, {"start": 2748.99, "end": 2749.37, "word": " هذا", "probability": 0.943359375}, {"start": 2749.37, "end": 2749.87, "word": " الاس", "probability": 0.7091064453125}], "temperature": 1.0}, {"id": 121, "seek": 278078, "start": 2751.2, "end": 2780.78, "text": "الـ cos زي ما هو مرفوع لنفس القص مطروح من واحد يبقى صارت تلاتة مشتقة مداخل القوس يعني مشتقة الـ cosine inverse اللي سالب واحد على واحد زي مربع الزاوية طيب، الزاوية هذه دالة في X مش X، يبقى بدنا نروح نضرب في مشتقة جدر الـX اللي واحد على اتنين جدر الـX أظن التالي مافيش فيها مشكلة؟ ولا حاجة، ايوا", "tokens": [6027, 39184, 3792, 30767, 1829, 19446, 31439, 3714, 28480, 45367, 5296, 1863, 36178, 25062, 9381, 3714, 9566, 32887, 5016, 9154, 36764, 24401, 7251, 3555, 4587, 7578, 20328, 9640, 2655, 6055, 1211, 9307, 3660, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 25062, 41779, 37495, 22653, 37893, 2655, 28671, 2423, 39184, 23565, 17340, 13672, 1829, 8608, 6027, 3555, 36764, 24401, 15844, 36764, 24401, 30767, 1829, 3714, 25513, 3615, 6024, 110, 995, 2407, 10632, 23032, 1829, 3555, 12399, 6024, 110, 995, 2407, 10632, 29538, 11778, 6027, 3660, 8978, 1783, 37893, 1783, 12399, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 32887, 5016, 8717, 11242, 25513, 8978, 37893, 2655, 28671, 10874, 3215, 2288, 2423, 39184, 55, 13672, 1829, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 10874, 3215, 2288, 2423, 39184, 55, 5551, 19913, 1863, 16712, 6027, 1829, 19446, 41185, 8592, 8978, 11296, 37893, 28820, 3660, 22807, 49429, 11331, 26108, 3660, 12399, 1975, 1829, 14407], "avg_logprob": -0.2562499980131785, "compression_ratio": 1.9427480916030535, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2751.2, "end": 2751.64, "word": "الـ", "probability": 0.42236328125}, {"start": 2751.64, "end": 2752.0, "word": " cos", "probability": 0.424072265625}, {"start": 2752.0, "end": 2752.36, "word": " زي", "probability": 0.896240234375}, {"start": 2752.36, "end": 2752.52, "word": " ما", "probability": 0.921875}, {"start": 2752.52, "end": 2752.84, "word": " هو", "probability": 0.9970703125}, {"start": 2752.84, "end": 2754.02, "word": " مرفوع", "probability": 0.8912760416666666}, {"start": 2754.02, "end": 2754.5, "word": " لنفس", "probability": 0.939453125}, {"start": 2754.5, "end": 2754.94, "word": " القص", "probability": 0.62890625}, {"start": 2754.94, "end": 2755.52, "word": " مطروح", "probability": 0.858154296875}, {"start": 2755.52, "end": 2755.7, "word": " من", "probability": 0.9833984375}, {"start": 2755.7, "end": 2756.16, "word": " واحد", "probability": 0.7626953125}, {"start": 2756.16, "end": 2756.4, "word": " يبقى", "probability": 0.662750244140625}, {"start": 2756.4, "end": 2756.8, "word": " صارت", "probability": 0.6298828125}, {"start": 2756.8, "end": 2757.28, "word": " تلاتة", "probability": 0.9468994140625}, {"start": 2757.28, "end": 2758.4, "word": " مشتقة", "probability": 0.8074544270833334}, {"start": 2758.4, "end": 2759.14, "word": " مداخل", "probability": 0.9251708984375}, {"start": 2759.14, "end": 2759.54, "word": " القوس", "probability": 0.64990234375}, {"start": 2759.54, "end": 2759.76, "word": " يعني", "probability": 0.92529296875}, {"start": 2759.76, "end": 2760.32, "word": " مشتقة", "probability": 0.96044921875}, {"start": 2760.32, "end": 2760.58, "word": " الـ", "probability": 0.5457763671875}, {"start": 2760.58, "end": 2760.98, "word": " cosine", "probability": 0.311279296875}, {"start": 2760.98, "end": 2761.64, "word": " inverse", "probability": 0.8994140625}, {"start": 2761.64, "end": 2762.32, "word": " اللي", "probability": 0.7015380859375}, {"start": 2762.32, "end": 2762.98, "word": " سالب", "probability": 0.8932291666666666}, {"start": 2762.98, "end": 2763.48, "word": " واحد", "probability": 0.98828125}, {"start": 2763.48, "end": 2763.76, "word": " على", "probability": 0.8115234375}, {"start": 2763.76, "end": 2764.4, "word": " واحد", "probability": 0.989013671875}, {"start": 2764.4, "end": 2764.82, "word": " زي", "probability": 0.773193359375}, {"start": 2764.82, "end": 2765.7, "word": " مربع", "probability": 0.9373372395833334}, {"start": 2765.7, "end": 2766.66, "word": " الزاوية", "probability": 0.951953125}, {"start": 2766.66, "end": 2767.42, "word": " طيب،", "probability": 0.603790283203125}, {"start": 2767.42, "end": 2767.86, "word": " الزاوية", "probability": 0.89951171875}, {"start": 2767.86, "end": 2768.34, "word": " هذه", "probability": 0.50634765625}, {"start": 2768.34, "end": 2768.94, "word": " دالة", "probability": 0.8994140625}, {"start": 2768.94, "end": 2769.12, "word": " في", "probability": 0.978515625}, {"start": 2769.12, "end": 2769.44, "word": " X", "probability": 0.537109375}, {"start": 2769.44, "end": 2769.78, "word": " مش", "probability": 0.6689453125}, {"start": 2769.78, "end": 2770.66, "word": " X،", "probability": 0.665771484375}, {"start": 2770.66, "end": 2770.9, "word": " يبقى", "probability": 0.755859375}, {"start": 2770.9, "end": 2771.12, "word": " بدنا", "probability": 0.4610595703125}, {"start": 2771.12, "end": 2771.34, "word": " نروح", "probability": 0.7049560546875}, {"start": 2771.34, "end": 2771.66, "word": " نضرب", "probability": 0.97802734375}, {"start": 2771.66, "end": 2771.84, "word": " في", "probability": 0.962890625}, {"start": 2771.84, "end": 2772.4, "word": " مشتقة", "probability": 0.9903971354166666}, {"start": 2772.4, "end": 2772.84, "word": " جدر", "probability": 0.884765625}, {"start": 2772.84, "end": 2773.36, "word": " الـX", "probability": 0.6806640625}, {"start": 2773.36, "end": 2773.8, "word": " اللي", "probability": 0.960205078125}, {"start": 2773.8, "end": 2774.38, "word": " واحد", "probability": 0.927490234375}, {"start": 2774.38, "end": 2774.66, "word": " على", "probability": 0.85009765625}, {"start": 2774.66, "end": 2775.2, "word": " اتنين", "probability": 0.9031982421875}, {"start": 2775.2, "end": 2775.94, "word": " جدر", "probability": 0.9700520833333334}, {"start": 2775.94, "end": 2776.38, "word": " الـX", "probability": 0.9637044270833334}, {"start": 2776.38, "end": 2777.16, "word": " أظن", "probability": 0.740234375}, {"start": 2777.16, "end": 2777.52, "word": " التالي", "probability": 0.5630696614583334}, {"start": 2777.52, "end": 2777.78, "word": " مافيش", "probability": 0.7547200520833334}, {"start": 2777.78, "end": 2777.94, "word": " فيها", "probability": 0.97412109375}, {"start": 2777.94, "end": 2778.6, "word": " مشكلة؟", "probability": 0.9361572265625}, {"start": 2778.6, "end": 2779.46, "word": " ولا", "probability": 0.5087890625}, {"start": 2779.46, "end": 2780.36, "word": " حاجة،", "probability": 0.7767333984375}, {"start": 2780.36, "end": 2780.78, "word": " ايوا", "probability": 0.6461588541666666}], "temperature": 1.0}, {"id": 122, "seek": 279952, "start": 2783.12, "end": 2799.52, "text": "اسمع طيانات، ايوة؟ هادي، كيه مرتين؟ يا راجل تجي الله، مشتقت هادي", "tokens": [32277, 2304, 3615, 23032, 1829, 7649, 9307, 12399, 1975, 1829, 2407, 3660, 22807, 8032, 995, 16254, 12399, 9122, 1829, 3224, 3714, 43500, 9957, 22807, 35186, 12602, 26108, 1211, 6055, 7435, 1829, 21984, 12399, 37893, 2655, 38149, 8032, 995, 16254], "avg_logprob": -0.32734373956918716, "compression_ratio": 1.2857142857142858, "no_speech_prob": 0.0, "words": [{"start": 2783.12, "end": 2783.66, "word": "اسمع", "probability": 0.8479817708333334}, {"start": 2783.66, "end": 2785.68, "word": " طيانات،", "probability": 0.6096923828125}, {"start": 2785.68, "end": 2787.06, "word": " ايوة؟", "probability": 0.62724609375}, {"start": 2787.06, "end": 2789.58, "word": " هادي،", "probability": 0.70587158203125}, {"start": 2789.58, "end": 2789.58, "word": " كيه", "probability": 0.672607421875}, {"start": 2789.58, "end": 2795.48, "word": " مرتين؟", "probability": 0.9620361328125}, {"start": 2795.48, "end": 2795.66, "word": " يا", "probability": 0.86474609375}, {"start": 2795.66, "end": 2796.02, "word": " راجل", "probability": 0.96923828125}, {"start": 2796.02, "end": 2796.3, "word": " تجي", "probability": 0.7711588541666666}, {"start": 2796.3, "end": 2798.36, "word": " الله،", "probability": 0.64404296875}, {"start": 2798.36, "end": 2799.08, "word": " مشتقت", "probability": 0.79541015625}, {"start": 2799.08, "end": 2799.52, "word": " هادي", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 123, "seek": 281723, "start": 2800.49, "end": 2817.23, "text": "هي نص وهي تكوين في مشتقة دي اللي جوا القوس، مشتقة ال cosine inverse سالب واحد على واحد زائد مرد المقدار هذا، قرب اسمها تينا، وهو الجدار", "tokens": [3224, 1829, 8717, 9381, 37037, 1829, 6055, 4117, 2407, 9957, 8978, 37893, 2655, 28671, 11778, 1829, 13672, 1829, 10874, 14407, 25062, 41779, 12399, 37893, 2655, 28671, 2423, 23565, 17340, 8608, 6027, 3555, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 3714, 2288, 3215, 9673, 28543, 9640, 23758, 12399, 12174, 25513, 24525, 2304, 11296, 6055, 1829, 8315, 12399, 37037, 2407, 25724, 3215, 9640], "avg_logprob": -0.2914186441709125, "compression_ratio": 1.519736842105263, "no_speech_prob": 0.0, "words": [{"start": 2800.49, "end": 2800.97, "word": "هي", "probability": 0.656005859375}, {"start": 2800.97, "end": 2801.45, "word": " نص", "probability": 0.92822265625}, {"start": 2801.45, "end": 2802.69, "word": " وهي", "probability": 0.828857421875}, {"start": 2802.69, "end": 2803.45, "word": " تكوين", "probability": 0.7994384765625}, {"start": 2803.45, "end": 2803.61, "word": " في", "probability": 0.8505859375}, {"start": 2803.61, "end": 2804.19, "word": " مشتقة", "probability": 0.8753255208333334}, {"start": 2804.19, "end": 2804.37, "word": " دي", "probability": 0.75927734375}, {"start": 2804.37, "end": 2804.55, "word": " اللي", "probability": 0.95068359375}, {"start": 2804.55, "end": 2804.89, "word": " جوا", "probability": 0.8076171875}, {"start": 2804.89, "end": 2806.11, "word": " القوس،", "probability": 0.5486653645833334}, {"start": 2806.11, "end": 2806.77, "word": " مشتقة", "probability": 0.9563802083333334}, {"start": 2806.77, "end": 2806.97, "word": " ال", "probability": 0.93359375}, {"start": 2806.97, "end": 2807.29, "word": " cosine", "probability": 0.75537109375}, {"start": 2807.29, "end": 2807.91, "word": " inverse", "probability": 0.9501953125}, {"start": 2807.91, "end": 2808.57, "word": " سالب", "probability": 0.7838541666666666}, {"start": 2808.57, "end": 2809.07, "word": " واحد", "probability": 0.981689453125}, {"start": 2809.07, "end": 2809.35, "word": " على", "probability": 0.75390625}, {"start": 2809.35, "end": 2809.99, "word": " واحد", "probability": 0.988037109375}, {"start": 2809.99, "end": 2810.91, "word": " زائد", "probability": 0.8014322916666666}, {"start": 2810.91, "end": 2811.65, "word": " مرد", "probability": 0.8844401041666666}, {"start": 2811.65, "end": 2812.67, "word": " المقدار", "probability": 0.9523111979166666}, {"start": 2812.67, "end": 2813.83, "word": " هذا،", "probability": 0.73291015625}, {"start": 2813.83, "end": 2814.23, "word": " قرب", "probability": 0.479736328125}, {"start": 2814.23, "end": 2815.31, "word": " اسمها", "probability": 0.583251953125}, {"start": 2815.31, "end": 2816.47, "word": " تينا،", "probability": 0.5516357421875}, {"start": 2816.47, "end": 2816.81, "word": " وهو", "probability": 0.75244140625}, {"start": 2816.81, "end": 2817.23, "word": " الجدار", "probability": 0.7276204427083334}], "temperature": 1.0}, {"id": 124, "seek": 283391, "start": 2822.79, "end": 2833.91, "text": "اه اه الجذر قصدك هذا اه صحيح هذا مظبوط و هذه اه cosine inverse سبحان الله هذه سالب مظبوط", "tokens": [995, 3224, 1975, 3224, 25724, 8848, 2288, 12174, 9381, 3215, 4117, 23758, 1975, 3224, 20328, 5016, 1829, 5016, 23758, 3714, 19913, 3555, 2407, 9566, 4032, 29538, 1975, 3224, 23565, 17340, 8608, 49628, 7649, 21984, 29538, 8608, 6027, 3555, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.3654119385914369, "compression_ratio": 1.4215686274509804, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 2822.79, "end": 2823.83, "word": "اه", "probability": 0.271728515625}, {"start": 2823.83, "end": 2824.25, "word": " اه", "probability": 0.7197265625}, {"start": 2824.25, "end": 2824.59, "word": " الجذر", "probability": 0.4977213541666667}, {"start": 2824.59, "end": 2825.03, "word": " قصدك", "probability": 0.7647705078125}, {"start": 2825.03, "end": 2825.35, "word": " هذا", "probability": 0.51953125}, {"start": 2825.35, "end": 2825.69, "word": " اه", "probability": 0.806884765625}, {"start": 2825.69, "end": 2826.37, "word": " صحيح", "probability": 0.8785400390625}, {"start": 2826.37, "end": 2827.47, "word": " هذا", "probability": 0.78125}, {"start": 2827.47, "end": 2828.99, "word": " مظبوط", "probability": 0.87265625}, {"start": 2828.99, "end": 2829.15, "word": " و", "probability": 0.521484375}, {"start": 2829.15, "end": 2829.49, "word": " هذه", "probability": 0.305419921875}, {"start": 2829.49, "end": 2830.39, "word": " اه", "probability": 0.803955078125}, {"start": 2830.39, "end": 2830.95, "word": " cosine", "probability": 0.238525390625}, {"start": 2830.95, "end": 2831.47, "word": " inverse", "probability": 0.970703125}, {"start": 2831.47, "end": 2831.95, "word": " سبحان", "probability": 0.900390625}, {"start": 2831.95, "end": 2832.21, "word": " الله", "probability": 0.95654296875}, {"start": 2832.21, "end": 2832.81, "word": " هذه", "probability": 0.7060546875}, {"start": 2832.81, "end": 2833.37, "word": " سالب", "probability": 0.7919921875}, {"start": 2833.37, "end": 2833.91, "word": " مظبوط", "probability": 0.9828125}], "temperature": 1.0}, {"id": 125, "seek": 286187, "start": 2834.63, "end": 2861.87, "text": "كلامك صحيح هذا صح طبعا وفوق كل ذي علم عليم اقر ان اخططه الراجل بيحكي صحيح لإن هذا مشتقة ال cosine inverse هي واحدة على الجدر التربية لواحد ناقص X تربية يبقى هذه بالناقص يبقى هذه بتصير بالناقص بالشكل اللي هنا واحد ناقص X", "tokens": [28820, 10943, 4117, 20328, 5016, 1829, 5016, 23758, 20328, 5016, 23032, 3555, 3615, 995, 4032, 5172, 30543, 28242, 29910, 1829, 11203, 2304, 25894, 2304, 1975, 4587, 2288, 16472, 1975, 9778, 9566, 9566, 3224, 34892, 26108, 1211, 4724, 1829, 5016, 4117, 1829, 20328, 5016, 1829, 5016, 5296, 28814, 1863, 23758, 37893, 2655, 28671, 2423, 23565, 17340, 39896, 36764, 24401, 3660, 15844, 25724, 3215, 2288, 16712, 25513, 10632, 5296, 14407, 24401, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 29538, 20666, 8315, 4587, 9381, 7251, 3555, 4587, 7578, 29538, 39894, 9381, 13546, 20666, 8315, 4587, 9381, 20666, 8592, 28820, 13672, 1829, 34105, 36764, 24401, 8717, 995, 4587, 9381, 1783], "avg_logprob": -0.21372767670878343, "compression_ratio": 1.9095477386934674, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2834.63, "end": 2835.29, "word": "كلامك", "probability": 0.6990559895833334}, {"start": 2835.29, "end": 2835.81, "word": " صحيح", "probability": 0.8878173828125}, {"start": 2835.81, "end": 2836.41, "word": " هذا", "probability": 0.56591796875}, {"start": 2836.41, "end": 2836.83, "word": " صح", "probability": 0.9951171875}, {"start": 2836.83, "end": 2839.49, "word": " طبعا", "probability": 0.970947265625}, {"start": 2839.49, "end": 2840.57, "word": " وفوق", "probability": 0.8955078125}, {"start": 2840.57, "end": 2841.03, "word": " كل", "probability": 0.97900390625}, {"start": 2841.03, "end": 2841.35, "word": " ذي", "probability": 0.89990234375}, {"start": 2841.35, "end": 2841.71, "word": " علم", "probability": 0.98388671875}, {"start": 2841.71, "end": 2842.43, "word": " عليم", "probability": 0.702880859375}, {"start": 2842.43, "end": 2843.23, "word": " اقر", "probability": 0.7674153645833334}, {"start": 2843.23, "end": 2843.47, "word": " ان", "probability": 0.517578125}, {"start": 2843.47, "end": 2844.11, "word": " اخططه", "probability": 0.682470703125}, {"start": 2844.11, "end": 2844.47, "word": " الراجل", "probability": 0.92724609375}, {"start": 2844.47, "end": 2844.81, "word": " بيحكي", "probability": 0.893359375}, {"start": 2844.81, "end": 2845.25, "word": " صحيح", "probability": 0.987060546875}, {"start": 2845.25, "end": 2846.07, "word": " لإن", "probability": 0.7274576822916666}, {"start": 2846.07, "end": 2846.55, "word": " هذا", "probability": 0.498779296875}, {"start": 2846.55, "end": 2847.69, "word": " مشتقة", "probability": 0.6805013020833334}, {"start": 2847.69, "end": 2847.91, "word": " ال", "probability": 0.841796875}, {"start": 2847.91, "end": 2848.23, "word": " cosine", "probability": 0.72216796875}, {"start": 2848.23, "end": 2848.75, "word": " inverse", "probability": 0.912109375}, {"start": 2848.75, "end": 2848.95, "word": " هي", "probability": 0.401123046875}, {"start": 2848.95, "end": 2849.37, "word": " واحدة", "probability": 0.8448893229166666}, {"start": 2849.37, "end": 2849.47, "word": " على", "probability": 0.6162109375}, {"start": 2849.47, "end": 2849.67, "word": " الجدر", "probability": 0.89697265625}, {"start": 2849.67, "end": 2850.03, "word": " التربية", "probability": 0.87158203125}, {"start": 2850.03, "end": 2850.45, "word": " لواحد", "probability": 0.7754720052083334}, {"start": 2850.45, "end": 2851.09, "word": " ناقص", "probability": 0.9859619140625}, {"start": 2851.09, "end": 2851.69, "word": " X", "probability": 0.53955078125}, {"start": 2851.69, "end": 2852.23, "word": " تربية", "probability": 0.9490559895833334}, {"start": 2852.23, "end": 2853.11, "word": " يبقى", "probability": 0.9539794921875}, {"start": 2853.11, "end": 2853.39, "word": " هذه", "probability": 0.69970703125}, {"start": 2853.39, "end": 2854.19, "word": " بالناقص", "probability": 0.9114990234375}, {"start": 2854.19, "end": 2855.13, "word": " يبقى", "probability": 0.960205078125}, {"start": 2855.13, "end": 2855.55, "word": " هذه", "probability": 0.93408203125}, {"start": 2855.55, "end": 2856.55, "word": " بتصير", "probability": 0.745361328125}, {"start": 2856.55, "end": 2858.47, "word": " بالناقص", "probability": 0.977294921875}, {"start": 2858.47, "end": 2859.33, "word": " بالشكل", "probability": 0.93603515625}, {"start": 2859.33, "end": 2859.51, "word": " اللي", "probability": 0.6722412109375}, {"start": 2859.51, "end": 2859.69, "word": " هنا", "probability": 0.12225341796875}, {"start": 2859.69, "end": 2860.89, "word": " واحد", "probability": 0.904296875}, {"start": 2860.89, "end": 2861.49, "word": " ناقص", "probability": 0.994384765625}, {"start": 2861.49, "end": 2861.87, "word": " X", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 126, "seek": 289164, "start": 2864.28, "end": 2891.64, "text": "و تحت الجدرق فقط لا غير انا استمع يبقى هاي عدلناها طيب هبنجي للنقطة الرابعة النقطة الرابعة بيبنى Y تساوي تلاتة أستان inverse X زائد و تان inverse لتلاتة و ست", "tokens": [2407, 6055, 33753, 25724, 3215, 2288, 4587, 6156, 47432, 20193, 32771, 13546, 1975, 8315, 44713, 2304, 3615, 7251, 3555, 4587, 7578, 8032, 47302, 6225, 3215, 1211, 8315, 11296, 23032, 1829, 3555, 8032, 3555, 1863, 7435, 1829, 24976, 1863, 47432, 3660, 34892, 16758, 27884, 28239, 47432, 3660, 34892, 16758, 27884, 4724, 1829, 3555, 1863, 7578, 398, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 5551, 14851, 7649, 17340, 1783, 30767, 16373, 3215, 4032, 6055, 7649, 17340, 5296, 2655, 1211, 9307, 3660, 4032, 8608, 2655], "avg_logprob": -0.3071056402155331, "compression_ratio": 1.675, "no_speech_prob": 0.0, "words": [{"start": 2864.28, "end": 2864.52, "word": "و", "probability": 0.2200927734375}, {"start": 2864.52, "end": 2865.0, "word": " تحت", "probability": 0.7744140625}, {"start": 2865.0, "end": 2865.84, "word": " الجدرق", "probability": 0.7269287109375}, {"start": 2865.84, "end": 2866.58, "word": " فقط", "probability": 0.9580078125}, {"start": 2866.58, "end": 2866.86, "word": " لا", "probability": 0.390625}, {"start": 2866.86, "end": 2867.08, "word": " غير", "probability": 0.95849609375}, {"start": 2867.08, "end": 2867.34, "word": " انا", "probability": 0.453887939453125}, {"start": 2867.34, "end": 2867.8, "word": " استمع", "probability": 0.6385091145833334}, {"start": 2867.8, "end": 2868.72, "word": " يبقى", "probability": 0.76318359375}, {"start": 2868.72, "end": 2869.1, "word": " هاي", "probability": 0.585205078125}, {"start": 2869.1, "end": 2870.22, "word": " عدلناها", "probability": 0.89091796875}, {"start": 2870.22, "end": 2870.9, "word": " طيب", "probability": 0.9264322916666666}, {"start": 2870.9, "end": 2871.5, "word": " هبنجي", "probability": 0.660693359375}, {"start": 2871.5, "end": 2872.24, "word": " للنقطة", "probability": 0.8875732421875}, {"start": 2872.24, "end": 2873.08, "word": " الرابعة", "probability": 0.8846028645833334}, {"start": 2873.08, "end": 2876.24, "word": " النقطة", "probability": 0.9384765625}, {"start": 2876.24, "end": 2877.12, "word": " الرابعة", "probability": 0.982421875}, {"start": 2877.12, "end": 2879.58, "word": " بيبنى", "probability": 0.61748046875}, {"start": 2879.58, "end": 2879.92, "word": " Y", "probability": 0.75244140625}, {"start": 2879.92, "end": 2881.0, "word": " تساوي", "probability": 0.9364013671875}, {"start": 2881.0, "end": 2882.88, "word": " تلاتة", "probability": 0.874267578125}, {"start": 2882.88, "end": 2884.2, "word": " أستان", "probability": 0.75439453125}, {"start": 2884.2, "end": 2885.28, "word": " inverse", "probability": 0.8515625}, {"start": 2885.28, "end": 2885.94, "word": " X", "probability": 0.8857421875}, {"start": 2885.94, "end": 2887.82, "word": " زائد", "probability": 0.8981119791666666}, {"start": 2887.82, "end": 2888.34, "word": " و", "probability": 0.2244873046875}, {"start": 2888.34, "end": 2888.8, "word": " تان", "probability": 0.72607421875}, {"start": 2888.8, "end": 2889.66, "word": " inverse", "probability": 0.8779296875}, {"start": 2889.66, "end": 2891.22, "word": " لتلاتة", "probability": 0.9296875}, {"start": 2891.22, "end": 2891.28, "word": " و", "probability": 0.64990234375}, {"start": 2891.28, "end": 2891.64, "word": " ست", "probability": 0.5650634765625}], "temperature": 1.0}, {"id": 127, "seek": 291318, "start": 2893.72, "end": 2913.18, "text": "أنا بلكن بنشتق هذه وننهي المحاضرة ان شاء الله وتعالى بالنواي قرائم يساوي هذه كأنها AOSU يبقى AOSU في لن ال F ومشتقة ال U مظبوط؟ يبقى AOSU الدالة كما هي", "tokens": [10721, 8315, 4724, 1211, 19452, 44945, 8592, 2655, 4587, 29538, 4032, 1863, 1863, 3224, 1829, 9673, 5016, 46958, 25720, 16472, 13412, 16606, 21984, 4032, 2655, 3615, 6027, 7578, 20666, 1863, 14407, 1829, 12174, 2288, 16373, 2304, 7251, 3794, 995, 45865, 29538, 9122, 33456, 11296, 316, 4367, 52, 7251, 3555, 4587, 7578, 316, 4367, 52, 8978, 5296, 1863, 2423, 479, 4032, 2304, 8592, 2655, 28671, 2423, 624, 3714, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 316, 4367, 52, 32748, 6027, 3660, 9122, 15042, 39896], "avg_logprob": -0.3017805135527322, "compression_ratio": 1.5828220858895705, "no_speech_prob": 0.0, "words": [{"start": 2893.72, "end": 2894.0, "word": "أنا", "probability": 0.69482421875}, {"start": 2894.0, "end": 2894.48, "word": " بلكن", "probability": 0.5137125651041666}, {"start": 2894.48, "end": 2897.54, "word": " بنشتق", "probability": 0.606689453125}, {"start": 2897.54, "end": 2897.88, "word": " هذه", "probability": 0.7705078125}, {"start": 2897.88, "end": 2898.36, "word": " وننهي", "probability": 0.8865234375}, {"start": 2898.36, "end": 2898.98, "word": " المحاضرة", "probability": 0.9879150390625}, {"start": 2898.98, "end": 2899.18, "word": " ان", "probability": 0.488037109375}, {"start": 2899.18, "end": 2899.46, "word": " شاء", "probability": 0.989013671875}, {"start": 2899.46, "end": 2899.64, "word": " الله", "probability": 0.9345703125}, {"start": 2899.64, "end": 2900.22, "word": " وتعالى", "probability": 0.74970703125}, {"start": 2900.22, "end": 2901.62, "word": " بالنواي", "probability": 0.6886444091796875}, {"start": 2901.62, "end": 2902.12, "word": " قرائم", "probability": 0.6397705078125}, {"start": 2902.12, "end": 2902.8, "word": " يساوي", "probability": 0.8062744140625}, {"start": 2902.8, "end": 2903.72, "word": " هذه", "probability": 0.697265625}, {"start": 2903.72, "end": 2904.42, "word": " كأنها", "probability": 0.8984375}, {"start": 2904.42, "end": 2905.82, "word": " AOSU", "probability": 0.5195719401041666}, {"start": 2905.82, "end": 2906.74, "word": " يبقى", "probability": 0.9451904296875}, {"start": 2906.74, "end": 2907.54, "word": " AOSU", "probability": 0.8699544270833334}, {"start": 2907.54, "end": 2907.74, "word": " في", "probability": 0.68212890625}, {"start": 2907.74, "end": 2908.04, "word": " لن", "probability": 0.8466796875}, {"start": 2908.04, "end": 2908.26, "word": " ال", "probability": 0.66455078125}, {"start": 2908.26, "end": 2908.48, "word": " F", "probability": 0.363525390625}, {"start": 2908.48, "end": 2909.18, "word": " ومشتقة", "probability": 0.89287109375}, {"start": 2909.18, "end": 2909.38, "word": " ال", "probability": 0.89013671875}, {"start": 2909.38, "end": 2909.52, "word": " U", "probability": 0.9462890625}, {"start": 2909.52, "end": 2910.58, "word": " مظبوط؟", "probability": 0.790283203125}, {"start": 2910.58, "end": 2910.98, "word": " يبقى", "probability": 0.9859619140625}, {"start": 2910.98, "end": 2911.7, "word": " AOSU", "probability": 0.9689127604166666}, {"start": 2911.7, "end": 2912.28, "word": " الدالة", "probability": 0.6690266927083334}, {"start": 2912.28, "end": 2912.82, "word": " كما", "probability": 0.97021484375}, {"start": 2912.82, "end": 2913.18, "word": " هي", "probability": 0.9296875}], "temperature": 1.0}, {"id": 128, "seek": 294412, "start": 2914.68, "end": 2944.12, "text": "فى لن التلاتة فى مشتقة ال 10 inverse لواحد زائد X تربيع طبعا خلاص ما منها ال quotient inverse شريتها بالسالب يبقى سالب واحد على واحد زائد تلاتة أس X لكل تربيع فى مشتقة مين التلاتة أس X اللى تلاتة أس X فلن التلاتة", "tokens": [5172, 7578, 5296, 1863, 16712, 1211, 9307, 3660, 6156, 7578, 37893, 2655, 28671, 2423, 1266, 17340, 5296, 14407, 24401, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3615, 23032, 3555, 3615, 995, 16490, 1211, 33546, 19446, 9154, 11296, 2423, 9641, 1196, 17340, 13412, 16572, 2655, 11296, 20666, 3794, 6027, 3555, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 5551, 3794, 1783, 5296, 28820, 6055, 2288, 21292, 3615, 6156, 7578, 37893, 2655, 28671, 3714, 9957, 16712, 1211, 9307, 3660, 5551, 3794, 1783, 13672, 7578, 6055, 1211, 9307, 3660, 5551, 3794, 1783, 6156, 1211, 1863, 16712, 1211, 9307, 3660], "avg_logprob": -0.24074074419008362, "compression_ratio": 1.9502762430939227, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2914.68, "end": 2914.98, "word": "فى", "probability": 0.54071044921875}, {"start": 2914.98, "end": 2915.38, "word": " لن", "probability": 0.671875}, {"start": 2915.38, "end": 2916.58, "word": " التلاتة", "probability": 0.8804931640625}, {"start": 2916.58, "end": 2917.02, "word": " فى", "probability": 0.912841796875}, {"start": 2917.02, "end": 2917.68, "word": " مشتقة", "probability": 0.8971354166666666}, {"start": 2917.68, "end": 2917.96, "word": " ال", "probability": 0.76318359375}, {"start": 2917.96, "end": 2918.2, "word": " 10", "probability": 0.498291015625}, {"start": 2918.2, "end": 2918.76, "word": " inverse", "probability": 0.794921875}, {"start": 2918.76, "end": 2919.98, "word": " لواحد", "probability": 0.5643717447916666}, {"start": 2919.98, "end": 2921.22, "word": " زائد", "probability": 0.8868815104166666}, {"start": 2921.22, "end": 2921.8, "word": " X", "probability": 0.5263671875}, {"start": 2921.8, "end": 2922.58, "word": " تربيع", "probability": 0.810791015625}, {"start": 2922.58, "end": 2923.44, "word": " طبعا", "probability": 0.79388427734375}, {"start": 2923.44, "end": 2924.28, "word": " خلاص", "probability": 0.4777425130208333}, {"start": 2924.28, "end": 2924.44, "word": " ما", "probability": 0.625}, {"start": 2924.44, "end": 2924.8, "word": " منها", "probability": 0.9462890625}, {"start": 2924.8, "end": 2925.42, "word": " ال", "probability": 0.740234375}, {"start": 2925.42, "end": 2925.8, "word": " quotient", "probability": 0.607421875}, {"start": 2925.8, "end": 2926.16, "word": " inverse", "probability": 0.9326171875}, {"start": 2926.16, "end": 2926.96, "word": " شريتها", "probability": 0.72991943359375}, {"start": 2926.96, "end": 2928.46, "word": " بالسالب", "probability": 0.7923583984375}, {"start": 2928.46, "end": 2929.4, "word": " يبقى", "probability": 0.9754638671875}, {"start": 2929.4, "end": 2930.22, "word": " سالب", "probability": 0.9534505208333334}, {"start": 2930.22, "end": 2931.36, "word": " واحد", "probability": 0.959228515625}, {"start": 2931.36, "end": 2932.02, "word": " على", "probability": 0.83447265625}, {"start": 2932.02, "end": 2932.78, "word": " واحد", "probability": 0.989990234375}, {"start": 2932.78, "end": 2933.9, "word": " زائد", "probability": 0.97705078125}, {"start": 2933.9, "end": 2934.84, "word": " تلاتة", "probability": 0.9169921875}, {"start": 2934.84, "end": 2935.12, "word": " أس", "probability": 0.4031982421875}, {"start": 2935.12, "end": 2935.42, "word": " X", "probability": 0.9404296875}, {"start": 2935.42, "end": 2936.0, "word": " لكل", "probability": 0.954345703125}, {"start": 2936.0, "end": 2936.7, "word": " تربيع", "probability": 0.929931640625}, {"start": 2936.7, "end": 2937.18, "word": " فى", "probability": 0.9697265625}, {"start": 2937.18, "end": 2937.74, "word": " مشتقة", "probability": 0.9811197916666666}, {"start": 2937.74, "end": 2938.24, "word": " مين", "probability": 0.7939453125}, {"start": 2938.24, "end": 2939.7, "word": " التلاتة", "probability": 0.914306640625}, {"start": 2939.7, "end": 2940.0, "word": " أس", "probability": 0.951171875}, {"start": 2940.0, "end": 2940.24, "word": " X", "probability": 0.9912109375}, {"start": 2940.24, "end": 2940.46, "word": " اللى", "probability": 0.4595947265625}, {"start": 2940.46, "end": 2941.3, "word": " تلاتة", "probability": 0.8631591796875}, {"start": 2941.3, "end": 2941.64, "word": " أس", "probability": 0.962890625}, {"start": 2941.64, "end": 2942.06, "word": " X", "probability": 0.98974609375}, {"start": 2942.06, "end": 2943.22, "word": " فلن", "probability": 0.8157552083333334}, {"start": 2943.22, "end": 2944.12, "word": " التلاتة", "probability": 0.9781494140625}], "temperature": 1.0}, {"id": 129, "seek": 295655, "start": 2944.31, "end": 2956.55, "text": "أكتر من هيك ماعنديش اللهم إلا إذا بدك تكتب هذه تلاتة واس اتنين X ماعناش مشكلة وإذا بدك تكتبها تسعة واس اكس كمان ماعناش مشكلة", "tokens": [10721, 4117, 2655, 2288, 9154, 39896, 4117, 19446, 3615, 1863, 16254, 8592, 13672, 16095, 11933, 15040, 11933, 15730, 47525, 4117, 6055, 4117, 2655, 3555, 29538, 6055, 1211, 9307, 3660, 4032, 32277, 1975, 2655, 1863, 9957, 1783, 19446, 3615, 1863, 33599, 37893, 28820, 3660, 4032, 28814, 15730, 47525, 4117, 6055, 4117, 2655, 3555, 11296, 6055, 3794, 27884, 4032, 32277, 1975, 4117, 3794, 9122, 2304, 7649, 19446, 3615, 1863, 33599, 37893, 28820, 3660], "avg_logprob": -0.2101779549072186, "compression_ratio": 1.7983870967741935, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2944.31, "end": 2944.95, "word": "أكتر", "probability": 0.765594482421875}, {"start": 2944.95, "end": 2945.07, "word": " من", "probability": 0.9404296875}, {"start": 2945.07, "end": 2945.33, "word": " هيك", "probability": 0.52545166015625}, {"start": 2945.33, "end": 2945.97, "word": " ماعنديش", "probability": 0.88154296875}, {"start": 2945.97, "end": 2946.93, "word": " اللهم", "probability": 0.68017578125}, {"start": 2946.93, "end": 2947.53, "word": " إلا", "probability": 0.81201171875}, {"start": 2947.53, "end": 2948.29, "word": " إذا", "probability": 0.8955078125}, {"start": 2948.29, "end": 2948.79, "word": " بدك", "probability": 0.93017578125}, {"start": 2948.79, "end": 2949.25, "word": " تكتب", "probability": 0.973876953125}, {"start": 2949.25, "end": 2949.57, "word": " هذه", "probability": 0.6953125}, {"start": 2949.57, "end": 2950.25, "word": " تلاتة", "probability": 0.83502197265625}, {"start": 2950.25, "end": 2950.47, "word": " واس", "probability": 0.3746337890625}, {"start": 2950.47, "end": 2950.95, "word": " اتنين", "probability": 0.8551025390625}, {"start": 2950.95, "end": 2951.21, "word": " X", "probability": 0.39794921875}, {"start": 2951.21, "end": 2951.73, "word": " ماعناش", "probability": 0.906982421875}, {"start": 2951.73, "end": 2952.39, "word": " مشكلة", "probability": 0.9729817708333334}, {"start": 2952.39, "end": 2953.15, "word": " وإذا", "probability": 0.8740234375}, {"start": 2953.15, "end": 2953.53, "word": " بدك", "probability": 0.95703125}, {"start": 2953.53, "end": 2954.15, "word": " تكتبها", "probability": 0.959375}, {"start": 2954.15, "end": 2954.71, "word": " تسعة", "probability": 0.9873046875}, {"start": 2954.71, "end": 2954.95, "word": " واس", "probability": 0.864990234375}, {"start": 2954.95, "end": 2955.25, "word": " اكس", "probability": 0.6575520833333334}, {"start": 2955.25, "end": 2955.57, "word": " كمان", "probability": 0.8876953125}, {"start": 2955.57, "end": 2955.99, "word": " ماعناش", "probability": 0.9593505859375}, {"start": 2955.99, "end": 2956.55, "word": " مشكلة", "probability": 0.9825846354166666}], "temperature": 1.0}, {"id": 130, "seek": 297859, "start": 2958.13, "end": 2978.59, "text": "هذا أُس مُركّب بيصير تلاتة أُس الـ X في اتنين اللي هو باتنين الـ X أو تلاتة ربيع أُس X يعني تسعة و أس إكتبت إيه كتبت إيه كتبت إيه كله زي ما هو ماعنديش اختصارات يبقى بيخليها و بروح وبس يبقى نكمل ان شاء الله المرة القادمة", "tokens": [3224, 15730, 5551, 10859, 3794, 3714, 10859, 31747, 11703, 3555, 4724, 1829, 9381, 13546, 6055, 1211, 9307, 3660, 5551, 10859, 3794, 2423, 39184, 1783, 8978, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 4724, 9307, 1863, 9957, 2423, 39184, 1783, 34051, 6055, 1211, 9307, 3660, 12602, 21292, 3615, 5551, 10859, 3794, 1783, 37495, 22653, 6055, 3794, 27884, 4032, 5551, 3794, 11933, 4117, 2655, 3555, 2655, 11933, 1829, 3224, 9122, 2655, 3555, 2655, 11933, 1829, 3224, 9122, 2655, 3555, 2655, 11933, 1829, 3224, 28242, 3224, 30767, 1829, 19446, 31439, 19446, 3615, 1863, 16254, 8592, 1975, 46456, 9381, 9640, 9307, 7251, 3555, 4587, 7578, 4724, 1829, 9778, 20292, 11296, 4032, 4724, 32887, 5016, 46599, 3794, 7251, 3555, 4587, 7578, 8717, 24793, 1211, 16472, 13412, 16606, 21984, 9673, 25720, 25062, 18513, 46007], "avg_logprob": -0.22734980620155038, "compression_ratio": 1.9303482587064678, "no_speech_prob": 3.135204315185547e-05, "words": [{"start": 2958.13, "end": 2958.79, "word": "هذا", "probability": 0.6275634765625}, {"start": 2958.79, "end": 2959.17, "word": " أُس", "probability": 0.6463216145833334}, {"start": 2959.17, "end": 2959.77, "word": " مُركّب", "probability": 0.83740234375}, {"start": 2959.77, "end": 2960.05, "word": " بيصير", "probability": 0.61346435546875}, {"start": 2960.05, "end": 2960.73, "word": " تلاتة", "probability": 0.874755859375}, {"start": 2960.73, "end": 2961.27, "word": " أُس", "probability": 0.9412434895833334}, {"start": 2961.27, "end": 2961.81, "word": " الـ", "probability": 0.5577392578125}, {"start": 2961.81, "end": 2961.93, "word": " X", "probability": 0.5322265625}, {"start": 2961.93, "end": 2962.13, "word": " في", "probability": 0.77197265625}, {"start": 2962.13, "end": 2962.47, "word": " اتنين", "probability": 0.85382080078125}, {"start": 2962.47, "end": 2962.61, "word": " اللي", "probability": 0.71875}, {"start": 2962.61, "end": 2962.69, "word": " هو", "probability": 0.97216796875}, {"start": 2962.69, "end": 2963.31, "word": " باتنين", "probability": 0.72247314453125}, {"start": 2963.31, "end": 2963.59, "word": " الـ", "probability": 0.58349609375}, {"start": 2963.59, "end": 2963.81, "word": " X", "probability": 0.80126953125}, {"start": 2963.81, "end": 2964.45, "word": " أو", "probability": 0.732421875}, {"start": 2964.45, "end": 2965.47, "word": " تلاتة", "probability": 0.9417724609375}, {"start": 2965.47, "end": 2965.99, "word": " ربيع", "probability": 0.8321940104166666}, {"start": 2965.99, "end": 2966.31, "word": " أُس", "probability": 0.841796875}, {"start": 2966.31, "end": 2966.57, "word": " X", "probability": 0.96826171875}, {"start": 2966.57, "end": 2966.89, "word": " يعني", "probability": 0.8974609375}, {"start": 2966.89, "end": 2967.27, "word": " تسعة", "probability": 0.9822591145833334}, {"start": 2967.27, "end": 2967.37, "word": " و", "probability": 0.6337890625}, {"start": 2967.37, "end": 2967.47, "word": " أس", "probability": 0.5833740234375}, {"start": 2967.47, "end": 2968.41, "word": " إكتبت", "probability": 0.7409423828125}, {"start": 2968.41, "end": 2968.73, "word": " إيه", "probability": 0.612060546875}, {"start": 2968.73, "end": 2969.17, "word": " كتبت", "probability": 0.8345947265625}, {"start": 2969.17, "end": 2969.43, "word": " إيه", "probability": 0.97021484375}, {"start": 2969.43, "end": 2969.85, "word": " كتبت", "probability": 0.97900390625}, {"start": 2969.85, "end": 2970.11, "word": " إيه", "probability": 0.9866536458333334}, {"start": 2970.11, "end": 2970.79, "word": " كله", "probability": 0.878173828125}, {"start": 2970.79, "end": 2971.11, "word": " زي", "probability": 0.98095703125}, {"start": 2971.11, "end": 2971.21, "word": " ما", "probability": 0.9658203125}, {"start": 2971.21, "end": 2971.37, "word": " هو", "probability": 0.99462890625}, {"start": 2971.37, "end": 2972.31, "word": " ماعنديش", "probability": 0.92919921875}, {"start": 2972.31, "end": 2972.95, "word": " اختصارات", "probability": 0.96103515625}, {"start": 2972.95, "end": 2973.13, "word": " يبقى", "probability": 0.7579345703125}, {"start": 2973.13, "end": 2973.57, "word": " بيخليها", "probability": 0.72392578125}, {"start": 2973.57, "end": 2973.73, "word": " و", "probability": 0.716796875}, {"start": 2973.73, "end": 2974.65, "word": " بروح", "probability": 0.9475911458333334}, {"start": 2974.65, "end": 2975.07, "word": " وبس", "probability": 0.6768798828125}, {"start": 2975.07, "end": 2975.27, "word": " يبقى", "probability": 0.853271484375}, {"start": 2975.27, "end": 2975.77, "word": " نكمل", "probability": 0.8644205729166666}, {"start": 2975.77, "end": 2975.93, "word": " ان", "probability": 0.6240234375}, {"start": 2975.93, "end": 2976.21, "word": " شاء", "probability": 0.979248046875}, {"start": 2976.21, "end": 2976.37, "word": " الله", "probability": 0.95654296875}, {"start": 2976.37, "end": 2977.63, "word": " المرة", "probability": 0.964111328125}, {"start": 2977.63, "end": 2978.59, "word": " القادمة", "probability": 0.9949544270833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2980.583, "duration_after_vad": 2908.9934687499913}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/8c2fuVf2wzs.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/8c2fuVf2wzs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5a8d2b1df4613a0f7e7cfe1dcbda84ecf7dd3417
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/8c2fuVf2wzs.srt
@@ -0,0 +1,1750 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:12,550 --> 00:00:16,390
+الآن نكمل الموضوع الذي تحدثنا فيه المرة الماضية
+
+3
+00:00:16,390 --> 00:00:20,570
+وهو الـ hyperbolic functions أخذنا الـ derivatives للـ
+
+4
+00:00:20,570 --> 00:00:25,610
+hyperbolic functions وبدأنا في التكاملات وآخر 
+
+5
+00:00:25,610 --> 00:00:32,070
+حاجة كملناها كان تكامل tanh x و sech x وقلنا أن
+
+6
+00:00:32,070 --> 00:00:37,710
+الـ sech x تمامًا مثل الـ tanh x والـ cosech x تكاملها
+
+7
+00:00:37,710 --> 00:00:41,470
+مثل الـ sech بالضبط، مثل ما عملنا الـ sech بنعمل main
+
+8
+00:00:41,610 --> 00:00:46,930
+ننتقل هنا لتكامل الرقم 2، يبقى integration لـ e 
+9
+00:00:46,930 --> 00:00:50,510
+أصلًا ناقص x في cosh x dx
+
+10
+00:00:56,730 --> 00:01:00,690
+لذلك ممكن أحولها كلها بدلالات الـ x exponential 
+
+11
+00:01:00,690 --> 00:01:05,390
+function  وأسهلنا من هذه الشغلة، إذا هذه بتصير
+
+12
+00:01:05,390 --> 00:01:11,450
+كالتالي، يساوي integration لـ e  والسالب x cosh x
+
+13
+00:01:11,450 --> 00:01:17,110
+ليه e والسكس زائد e والسالب x كله على اثنين في dx
+
+14
+00:01:19,230 --> 00:01:22,910
+هذا الكلام بده يساوي نصف، خليه برا التكامل لإنه
+
+15
+00:01:22,910 --> 00:01:30,010
+constant وهذا بيظل 1 زائد e أس ناقص اثنين x وكل
+
+16
+00:01:30,010 --> 00:01:36,570
+هذا بالنسبة لمين؟ لـ dx، يبقى هذا نصف وتكامل الواحد
+
+17
+00:01:36,570 --> 00:01:43,290
+هو بـ x والـ x بنشيله بنفسها زي ما هي مقسومة على سالب 
+
+18
+00:01:43,290 --> 00:01:51,540
+اثنين زائد constant c، إذا الإجابة cosh x ناقص ربع
+
+19
+00:01:51,540 --> 00:01:59,900
+e أس ناقص اثنين x زائد constant c، التكامل الثالث 
+
+20
+00:01:59,900 --> 00:02:13,360
+بدنا تكامل لمين؟ لـ sech³ x tanh x dx ويساوي
+
+21
+00:02:15,570 --> 00:02:26,090
+يلا ماذا تقترحون حتى نستطيع نكامل هذه المثلّة، نعمل 
+
+22
+00:02:26,090 --> 00:02:34,410
+الـ sech اللي هو sech² x في sech x في tanh x
+
+23
+00:02:34,410 --> 00:02:42,510
+في dx، هذا كله مشتقة مين؟ sech بس بإشارة سالب لأن
+
+24
+00:02:42,510 --> 00:02:49,810
+مشتقة الـ sech بسالب sech tanh، إذا هذه تساوي سالب تكامل
+
+25
+00:02:49,810 --> 00:02:58,760
+لـ sech² x dx لـ sech x، شكل عن هذا وكانت واحدة من
+
+26
+00:02:58,760 --> 00:03:06,000
+كامل y² dy، يعني من هنا لو حطيت الـ sech x بـ y
+
+27
+00:03:06,000 --> 00:03:12,860
+يبقى sech x tanh x هي سالب dy على أي حال كان
+
+28
+00:03:12,860 --> 00:03:17,780
+المثل y² dy، يبقى نضيف للأس واحد ونقسمه على
+
+29
+00:03:17,780 --> 00:03:26,930
+الأس الجديد، يبقى ناقص ثلث sech³ x زائد
+
+30
+00:03:26,930 --> 00:03:37,510
+constant c، السؤال الرابع بدنا تكامل لـ sinh 2x
+
+31
+00:03:37,510 --> 00:03:50,110
+على 1 زائد cosh x كله بالنسبة لـ dx يساوي
+
+32
+00:03:50,110 --> 00:03:57,390
+عن اسم رأيكم واضح هنا cosh x وهنا sinh 2x
+
+33
+00:03:57,390 --> 00:04:07,930
+يبقى هذه اثنين
+
+34
+00:04:07,930 --> 00:04:17,580
+sinh x في cosh x في cosh x كله على مين؟ على 1 
+
+35
+00:04:17,580 --> 00:04:26,300
+زائد cosh x كله بالنسبة لمين؟ كله dx، ممكن أشيل 
+
+36
+00:04:26,300 --> 00:04:32,320
+المقام كله مرة واحدة وأحطه بمتغير آخر، إذا لو حطيت
+
+37
+00:04:32,320 --> 00:04:41,200
+الـ y تساوي 1 زائد cosh x يبقى dy يساوي sinh x
+
+38
+00:04:41,200 --> 00:04:48,560
+dx، إذا ممكن أشيل sinh x مع الـ dx كل هذه أكثر
+
+39
+00:04:48,560 --> 00:04:55,200
+بدلها بمين؟ يبقى بصير المثل يساوي هاي اثنين برا وهي
+
+40
+00:04:55,200 --> 00:05:02,220
+تكامل هادي مع هادي اللي هي بدي y، طيب cosh x هي
+
+41
+00:05:02,220 --> 00:05:09,020
+عبارة عن y ناقص 1 يبقى y ناقص 1 على y
+
+42
+00:05:09,020 --> 00:05:13,040
+بالشكل اللي عنها ده، يبقى تحولت المثل من دوال
+
+43
+00:05:13,040 --> 00:05:18,290
+زائدية إلى دوال عادية، يبقى هذا الكلام بده يساوي
+
+44
+00:05:18,290 --> 00:05:27,890
+اثنين تكامل 1 ناقص 1 على y في الـ dy يساوي 
+
+45
+00:05:27,890 --> 00:05:29,910
+اثنين
+
+46
+00:05:30,930 --> 00:05:37,290
+تكامل 1 هو بـ y وهذا ناقص ln absolute value
+
+47
+00:05:37,290 --> 00:05:45,610
+لـ y زائد constant c وتساوي 2 فيه نجي إلى y يبقى
+
+48
+00:05:45,610 --> 00:05:53,430
+1 زائد cosh x يبقى 1 زائد cosh x ناقص
+
+49
+00:05:53,430 --> 00:06:00,560
+ln 1 زائد cosh x زائد constant c بالشكل اللي 
+
+50
+00:06:00,560 --> 00:06:04,820
+عندنا هنا طبعًا ما حطيتش الـ absolute value لأن الـ cosh
+
+51
+00:06:04,820 --> 00:06:09,280
+دائمًا وأبدًا موجبة بياخد قيم من 1 فما فوق وأنا
+
+52
+00:06:09,280 --> 00:06:15,100
+كمان 1 يبقى هذه positive for all x يبقى هذه بده
+
+53
+00:06:15,100 --> 00:06:21,760
+يساوي 2 زائد 2 cosh x ناقص ln 1 زائد
+
+54
+00:06:21,760 --> 00:06:27,470
+cosh x زائد constant c، لو روحنا للكتاب بلاقي
+
+55
+00:06:27,470 --> 00:06:32,010
+الإجابة هذه بلاقي جزء منها وجزء منها لا، يبقى لو
+
+56
+00:06:32,010 --> 00:06:39,250
+روحنا للكتاب بلاقي 2 cosh x ناقص ln 1
+
+57
+00:06:39,250 --> 00:06:44,790
+زائد cosh x بالشكل اللي قمناها بقى زائد
+
+58
+00:06:44,790 --> 00:06:51,590
+constant وليكن c1، الآن الـ c هذه تعتبر constant و 2 
+
+59
+00:06:51,590 --> 00:06:56,990
+كمان constant ممكن يشيلهم ويحضرهم c1 والـ c1 بده
+
+60
+00:06:56,990 --> 00:07:01,390
+يساوي c زائد 2 يبقى بنلاقي الإجابة عنها، هذه
+
+61
+00:07:01,390 --> 00:07:05,670
+ملاقيش الإجابة اللي فوق، على أي حال، هذه والله هذه
+
+62
+00:07:05,670 --> 00:07:12,670
+تفرجش هنا، طيب هذا السؤال الرابع، السؤال الخامس بدنا
+
+63
+00:07:12,670 --> 00:07:21,010
+تكامل لـ 1 زائد tanh x كله مقسوم على العالمين على
+
+64
+00:07:21,010 --> 00:07:24,330
+cosh² x في الـ dx
+
+65
+00:07:30,760 --> 00:07:36,440
+الآن لو جيت لي هذه المثلّة بقدر أقول هذا الكلام بده
+
+66
+00:07:36,440 --> 00:07:41,200
+يساوي تكامل أظن أبسط شغل أنه نوزع الـ bus على
+
+67
+00:07:41,200 --> 00:07:50,320
+المقام، يبقى بصير أن هذه 1 على cosh² x زائد
+
+68
+00:07:50,320 --> 00:07:58,200
+tanh x على cosh² x كل هذا الكلام بالنسبة لـ dx
+
+69
+00:07:59,180 --> 00:08:03,000
+هذا بده يساوي تكامل 1 على cosh² اللي هي
+
+70
+00:08:03,000 --> 00:08:10,360
+مين؟ sech² x زائد هذه 1 على cosh² كمان
+
+71
+00:08:10,360 --> 00:08:19,280
+sech² x يبقى هذه sech² x في tanh x كله
+
+72
+00:08:19,280 --> 00:08:27,340
+بالنسبة لمين؟ إلى dx، هذه تكاملها سهل، هذه تكاملها
+
+73
+00:08:27,340 --> 00:08:32,800
+مثل مين؟ مثل السؤال اللي عندنا هنا في الأول بالضبط 
+
+74
+00:08:32,800 --> 00:08:39,180
+تمامًا، ليش؟ لأن تفاضل الـ tanh هو sech²، يعني 
+
+75
+00:08:39,180 --> 00:08:46,920
+ممكن أشيل هذه مع هذه وأكتفي بدلها d tanh، يعني كأن
+
+76
+00:08:46,920 --> 00:08:56,030
+المسألة هي تكامل لـ sech² x dx زائد tanh x
+
+77
+00:08:56,030 --> 00:09:03,490
+بدنا نكاملها، وهذه مع هذه اللي مشتقة tanh x
+
+78
+00:09:03,490 --> 00:09:09,930
+طلع لي مرة ثانية، مشتقة tanh x اللي بـ sech² x 
+
+79
+00:09:09,930 --> 00:09:15,950
+dx هي sech² x أو sech² x وهذا dx يبقى sech
+
+80
+00:09:15,950 --> 00:09:23,250
+² x مع dx كتبت بدلها d tanh يبقى تكامل الـ sech
+
+81
+00:09:23,250 --> 00:09:32,350
+² هو tanh x زائد tanh² x كله على اثنين 
+
+82
+00:09:32,350 --> 00:09:35,010
+زائد كله constant c
+
+83
+00:09:42,080 --> 00:09:48,620
+اثنين، هذه مالها؟
+
+84
+00:09:48,620 --> 00:09:52,260
+هذه اثنين،
+
+85
+00:09:52,260 --> 00:09:57,520
+آه هنا بدها اثنين فقط ولا غير، صحيح؟ وهذه بدها
+
+86
+00:09:57,520 --> 00:10:04,420
+اثنين، صحيح، مظبوط كلامك، صح مائة بالمائة، أيوة
+
+87
+00:10:13,420 --> 00:10:18,340
+بقول زي ما بدك بس اكتب له صح وخلاص، كل حاجة تكتبها
+
+88
+00:10:18,340 --> 00:10:21,440
+صح
+
+89
+00:10:21,440 --> 00:10:25,500
+ما حدش يقدر يترد عليك فيها تمام؟ المهم تقبل كتابتك
+
+90
+00:10:25,500 --> 00:10:30,340
+صحّحها واتخافش، كلمة تكتب اكتبها عند التصحيح بترجمها
+
+91
+00:10:30,340 --> 00:10:36,920
+شاطر في الترجمة، طيب need a need a love سؤال اللي
+
+92
+00:10:36,920 --> 00:10:44,490
+بعده هذا خمسة، سؤال ستة، سؤال ستة بدنا تكامل لـ tanh
+
+93
+00:10:44,490 --> 00:10:55,630
+x ln cosh x كله في dx، ln cosh x كله في tanh
+
+94
+00:10:55,630 --> 00:10:56,030
+x
+
+95
+00:10:59,120 --> 00:11:03,000
+لو جينا نتطلع للمثل هذه في شغل مصعبان، شو لبس 
+
+96
+00:11:03,000 --> 00:11:08,900
+الشعب هذه؟ اللي هو ln cosh، تمام؟ إذا لو حطيت الـ y 
+
+97
+00:11:08,900 --> 00:11:17,060
+تساوي ln cosh x، بدنا dy يبقى 1 على cosh x
+
+98
+00:11:17,060 --> 00:11:21,900
+في تفاضل الـ cosh اللي هو sinh x في الـ dx، يعني الـ
+
+99
+00:11:21,900 --> 00:11:27,940
+dy sinh على cosh اللي هي بمين؟ tanh x dx، يبقى هذا
+
+100
+00:11:27,940 --> 00:11:34,340
+كله مع هذا كله بشيله بحق بدل مين؟ dy، يبقى صارت
+
+101
+00:11:34,340 --> 00:11:42,990
+المثلّة كامل y dy، يبقى هذا بسيط جدًا، نصف y² زائد
+
+102
+00:11:42,990 --> 00:11:49,510
+constant c، نصف بشيل الـ y وبحط بدل الـ ln cosh x
+
+103
+00:11:49,510 --> 00:11:58,110
+لكل تربيع زائد constant c، good exercise لك حل
+
+104
+00:11:58,110 --> 00:12:08,750
+في الدقرة براحتك، بدنا تكامل لـ cosh⁻¹ tanh 
+
+105
+00:12:08,750 --> 00:12:18,450
+x sech² x كل هذا على الـ square root لـ 1
+
+106
+00:12:18,450 --> 00:12:25,190
+minus اللي هو tanh² x كله بالنسبة لـ dx
+
+107
+00:12:28,840 --> 00:12:34,520
+cosh⁻¹ وليس cos⁻¹، أنت حتى الآن ما أخدتش
+
+108
+00:12:34,520 --> 00:12:39,560
+معكوس الدوالة الزائدية ولكن سآخذهم فورًا
+
+109
+00:13:07,770 --> 00:13:13,130
+بنجي الآن لمعكوس الدوال الزائدية، يبقى الـ inverse
+
+110
+00:13:13,130 --> 00:13:20,310
+hyperbolic functions، الـ inverse hyperbolic
+
+111
+00:13:20,310 --> 00:13:24,490
+functions
+
+112
+00:13:24,490 --> 00:13:28,170
+معكوس
+
+113
+00:13:28,170 --> 00:13:33,750
+الدوال الزائدية، خلي بالك معناه هنا
+
+114
+00:13:36,700 --> 00:13:42,180
+هذا محور x، هذا محور y، هذه نقطة الأصل اللي هي zero
+
+115
+00:13:42,180 --> 00:13:47,400
+افتحوا لي على رسمة الدوال الزائدية اللي رسمناها المرة
+
+116
+00:13:47,400 --> 00:13:53,380
+الماضية، الرسومات الستة، مشان بدنا نجيب المعكوسات
+
+117
+00:13:53,380 --> 00:14:00,060
+تبعها، لو رحت لرسمة sinh⁻¹، رسمة sinh⁻¹
+
+118
+00:14:00,060 --> 00:14:05,500
+كانت بالشكل اللي عندنا هذا، open up open down، لما 
+
+119
+00:14:05,500 --> 00:14:11,040
+نرسم الخط y تساوي x، نجيبها عبرها، يبقى بيصير sinh
+
+120
+00:14:11,040 --> 00:14:18,580
+⁻¹ بهذا الشكل، يبقى
+
+121
+00:14:18,580 --> 00:14:24,760
+هذه رسمة مين؟ sinh⁻¹
+
+122
+00:14:24,760 --> 00:14:30,340
+x، واضح أن الـ domain يساوي الـ range يساوي كل الـ real
+
+123
+00:14:30,340 --> 00:14:31,860
+line، ب ال estate
+
+124
+00:14:40,960 --> 00:14:43,580
+في نقطة واحدة، يبقى الدالة one to one، يبقى الـ
+
+125
+00:14:43,580 --> 00:14:48,400
+inverse exist، يبقى هي رسمت من الـ inverse بدنا نيجي
+
+126
+00:14:48,400 --> 00:14:52,880
+لل gauche inverse يبقى لو روحنا و قلنا هذا محور
+
+127
+00:14:52,880 --> 00:14:59,060
+X هذا محور Y هذه نقطة الأصل اللي هي Zero رسمنا
+
+128
+00:14:59,060 --> 00:15:02,780
+منحنى ال gauche فمنحنى ال gauche بقى جارى زي هيك
+
+129
+00:15:03,100 --> 00:15:09,880
+هذه النقطة هي 1 أو 01 لو رسمت horizontal line
+
+130
+00:15:09,880 --> 00:15:14,880
+هيقطع المنحنى وين فيه نقطتين لذلك بدنا نروح نعمل
+
+131
+00:15:14,880 --> 00:15:19,240
+restriction على ال domain المنقطة هذه كأنها مش
+
+132
+00:15:19,240 --> 00:15:24,750
+موجودة بداخلها بس الجزء اللي على اليمين يبقى لو جينا
+
+133
+00:15:24,750 --> 00:15:29,390
+و قلنا هذا الخط اللي عندنا y تساوي x و بدي أقلب
+
+134
+00:15:29,390 --> 00:15:36,250
+الرسمة عبر هذا الخط هذا الخط اللي همين y تساوي x
+
+135
+00:15:39,530 --> 00:15:43,710
+أقلب الرسم عبر الخط يبقى النقطة هذه الإحداثي تبعها
+
+136
+00:15:43,710 --> 00:15:49,990
+Zero و واحد و Zero يبقى بدأ يصير هذه هذا كمكيف
+
+137
+00:15:49,990 --> 00:15:55,210
+أبوه يصير ماله كمكيف دعوه يكون متمثل بالنسبة لمن
+
+138
+00:15:55,210 --> 00:16:01,550
+للخط Y تساوي X إذا اللي فوق هذه هي جوش X واللي 
+
+139
+00:16:01,550 --> 00:16:10,090
+تحت هذه هي جوش inverse X ال domain بتابع جوش
+
+140
+00:16:10,090 --> 00:16:19,610
+inverse x يساوي من واحد لغاية infinity
+
+141
+00:16:19,610 --> 00:16:28,210
+وال range بتابع جوش inverse x بده يساوي من 0
+
+142
+00:16:28,210 --> 00:16:33,370
+لإنفينيتي يبقى من 0 لأقل قيمة بياخدها هنا اللي هي
+
+143
+00:16:33,370 --> 00:16:38,910
+الصفر و بيبدأ يطلع و يزيد يبقى هذه رسمة من الجوش
+
+144
+00:16:38,910 --> 00:16:43,790
+والجوش inverse اطلع لي على رسمة التنش inverse عندك
+
+145
+00:16:43,790 --> 00:16:49,960
+التنش ال X قصدك تانش ال X لو رسمت أي horizontal
+
+146
+00:16:49,960 --> 00:16:54,140
+line بتلاقي يقطع المنحنى في نقطة واحدة المنحنى
+
+147
+00:16:54,140 --> 00:16:59,000
+مرسوم بين سالب واحد و واحد ارسم أي خط أفقي بتلاقي
+
+148
+00:16:59,000 --> 00:17:04,800
+يقطع في نقطة واحدة إذا المعكوس موجود وبالتالي لو
+
+149
+00:17:04,800 --> 00:17:09,920
+رحت ارسم منحنى تانش inverse يبقى بقول هذا محور X
+
+150
+00:17:09,920 --> 00:17:15,730
+وهذا محور Y وهذا النقطة إلى 1 وهذا النقطة إلى 2
+
+151
+00:17:15,730 --> 00:17:24,550
+سالب 1 لو تخيلت الخط X يساوي واحد والخط X يساوي
+
+152
+00:17:24,550 --> 00:17:30,130
+سالب واحد وجيت ارسم الرسمة اللي عندنا هذه يبقى
+
+153
+00:17:30,130 --> 00:17:35,330
+رسمتها شبيهة بمنحنى تان مع الفارق هذا من سالب واحد
+
+154
+00:17:35,330 --> 00:17:38,290
+إلى اثنين اللي هو اثنين لكن هذا من سالب واحد إلى
+
+155
+00:17:38,290 --> 00:17:44,110
+واحد يبقى بديجيك المنحنى بالشكل هذا هيك ويجي نازل
+
+156
+00:17:44,110 --> 00:17:51,310
+بهذا الشكل يبقى هذه رسمة اللي هو tan inverse x
+
+157
+00:17:51,310 --> 00:17:56,850
+الآن بدنا ال domain للتانش inverse اللي هجينا و
+
+158
+00:17:56,850 --> 00:18:02,970
+قلنا بدنا نأخذ ال domain للتانش inverse x اللي هو
+
+159
+00:18:02,970 --> 00:18:08,110
+اللي وين؟ من سالب واحد إلى واحد as an open
+
+160
+00:18:08,110 --> 00:18:19,070
+interval لكن ال range للتانش inverse x من سالب
+
+161
+00:18:19,070 --> 00:18:23,670
+infinity لإنفينيتي يعني كل real line بالاستثناء
+
+162
+00:18:23,670 --> 00:18:31,030
+.الآن بدنا نيجي لكتانش inverse x هذا محور x هذا y
+
+163
+00:18:31,030 --> 00:18:36,390
+وهذا z المرة الأخرى رسمنا التانش والكوتانش على نفس
+
+164
+00:18:36,390 --> 00:18:40,730
+الرسمة وكان ما فيش تداخل فيه ما بينهم من سالب واحد
+
+165
+00:18:40,730 --> 00:18:44,770
+إلى واحد للتانش بعد الواحد وقبل السالب واحد لمين
+
+166
+00:18:44,770 --> 00:18:50,590
+للكوتانش وهنا نفس الطريقة لو جيت قلت هذا الخط اللي
+
+167
+00:18:50,590 --> 00:18:54,950
+هو x يساوي واحد وهذا الخط الثاني ال X اللي هو تساوي
+
+168
+00:18:54,950 --> 00:19:00,610
+سالب واحد إذا كوتانش مش هيدخل المنطقة ما بين
+
+169
+00:19:00,610 --> 00:19:06,010
+سالب واحد وواحد وإنما يخلقها لمين لتانش inverse
+
+170
+00:19:06,010 --> 00:19:10,990
+يفهم لو روحت رسمتها هتاخد الشكل التالي ومن هنا
+
+171
+00:19:10,990 --> 00:19:16,310
+هتاخد الشكل هذا اللي عندنا تمام؟ يبقى هذه هي ال
+
+172
+00:19:16,310 --> 00:19:21,310
+cot inverse x وهذه كمان هي ال cot
+
+173
+00:19:21,310 --> 00:19:27,890
+inverse x يبقى ال domain تبعها من عند واحد لما لا
+
+174
+00:19:27,890 --> 00:19:33,170
+نهاية ومن سالب واحد لسالب ما لا نهاية
+
+175
+00:19:36,360 --> 00:19:43,420
+للكوتان inverse x بده يساوي من سالب infinity لغاية
+
+176
+00:19:43,420 --> 00:19:49,480
+سالب واحد as an open interval اتحاد واحد و
+
+177
+00:19:49,480 --> 00:19:50,600
+infinity
+
+178
+00:19:54,560 --> 00:20:00,940
+الـ Range لكو تانش inverse X كل الـ real line ما
+
+179
+00:20:00,940 --> 00:20:07,820
+عدا الـ zero يعني كأنه من سلب infinity لغاية الـ
+
+180
+00:20:07,820 --> 00:20:15,660
+zero اتحاد zero و infinity طب نيجي للرسمة الرابعة
+
+181
+00:20:15,660 --> 00:20:25,400
+شكلها أن هذا هيك الخامسة هو الواحد
+
+182
+00:20:25,400 --> 00:20:31,380
+الصحيح يبقى لو رسمنا منحنى السش منحنى السش بيجيني
+
+183
+00:20:31,380 --> 00:20:39,790
+بالشكل اللي عندنا هذا هو السش ال X لو جينا رسمنا
+
+184
+00:20:39,790 --> 00:20:44,410
+horizontal line في الفترة من عند الصفر لغاية
+
+185
+00:20:44,410 --> 00:20:52,350
+الواحد بلاقي الخط الأفقي لأن هذا سيقطع المنحنى في
+
+186
+00:20:52,350 --> 00:21:00,270
+نقطتين إذا المنحنى هذا أو الدالة هذه ليست one to
+
+187
+00:21:00,270 --> 00:21:05,470
+one لكن لو روحت عملت restriction على ال domain من
+
+188
+00:21:05,470 --> 00:21:10,150
+عندي ال zero لغاية infinity معناه هذا الكلام شيلت
+
+189
+00:21:10,150 --> 00:21:15,230
+هذه كلها لمنقطة مالهاش وجود يبقى اكتفيت من عندي ال
+
+190
+00:21:15,230 --> 00:21:20,650
+zero لغاية infinity و رسمت أي horizontal line ضمنت
+
+191
+00:21:20,650 --> 00:21:26,250
+في هذه الحالة أن المنحنى بدي يكون one to one النقطة
+
+192
+00:21:26,250 --> 00:21:30,190
+اللي فوق هذه الإحداثي تبعها Zero وواحد في
+
+193
+00:21:30,190 --> 00:21:35,590
+المعكوس ماذا سيحصل؟ واحد و Infinity يبقى لو جيت ارسم
+
+194
+00:21:35,590 --> 00:21:40,170
+ها ستجيك هكذا بالشكل اللي عندنا هذا يبقى الخط
+
+195
+00:21:40,170 --> 00:21:47,510
+الأزرق هذا هو Sinh inverse X فبيصير عندنا Domain
+
+196
+00:21:47,510 --> 00:21:56,280
+Sinh inverse X يساوي من وين لوين؟ ال domain بنصف
+
+197
+00:21:56,280 --> 00:22:01,020
+الواحد بس من عند ال zero open ومن عند الواحد
+
+198
+00:22:01,020 --> 00:22:09,560
+مغلقة closed طيب بدنا range ل Sinh inverse X واللي هو
+
+199
+00:22:09,560 --> 00:22:15,120
+بده يساوي من أولى ومن أولى من عند الـ Zero لغاية
+
+200
+00:22:15,120 --> 00:22:19,820
+Infinity من عند الـ Z closed أقل قيمة بياخدها Zero
+
+201
+00:22:19,820 --> 00:22:24,880
+عند X ساوي قداش واحد طيب نجرى الرسمة الأخيرة اللي
+
+202
+00:22:24,880 --> 00:22:31,420
+هي رقم ستة هذا محور X هذا محور Y هذه نقطة الأصل
+
+203
+00:22:31,420 --> 00:22:37,740
+اللي هي Zero المرة اللي فاتت رسمنا y تساوي Cosh ال x
+
+204
+00:22:37,740 --> 00:22:44,260
+فكانت قوسين على شكل الدالة y تساوي واحد على x لو
+
+205
+00:22:44,260 --> 00:22:49,660
+جيت رسمت الخط y تساوي x وقلبتها بطلع شكل يشبه مين
+
+206
+00:22:49,660 --> 00:22:55,620
+الأصلي يبقى بديجيك هذه وهذه بديجيك بالشكل اللي
+
+207
+00:22:55,620 --> 00:23:03,450
+عندنا هذا يبقى هذه رسمة Cosh inverse x الآن اطلع ال
+
+208
+00:23:03,450 --> 00:23:10,470
+domain يساوي ال range يساوي كل ال real line ما عدا
+
+209
+00:23:10,470 --> 00:23:19,110
+الـ zero يبقى domain لـ Cosh inverse x بده يساوي ال
+
+210
+00:23:19,110 --> 00:23:25,930
+range بتابع الـ Cosh inverse x بده يساوي كل الـ 
+
+211
+00:23:25,930 --> 00:23:30,630
+real line بده أشيل منها مين بس الـ zero أو من سالب infinity
+
+212
+00:23:30,630 --> 00:23:35,830
+إلى zero اتحاد zero و infinity يبقى هذه الرسومات
+
+213
+00:23:35,830 --> 00:23:43,110
+الستة زي ما أنت شايف ليه معكوس الدوال المثلثية في
+
+214
+00:23:43,110 --> 00:23:49,490
+أن الآن بعض القواعد تخص معكوس الدوال الزائدية على
+
+215
+00:23:49,490 --> 00:23:59,190
+الشكل التالي يبقى بالدراجة some rules بعض القواعد
+
+216
+00:23:59,190 --> 00:24:04,150
+about inverse
+
+217
+00:24:04,150 --> 00:24:06,930
+hyperbolic functions
+
+218
+00:24:15,320 --> 00:24:19,460
+نمرة واحد Sinh
+
+219
+00:24:19,460 --> 00:24:29,400
+inverse X يساوي Cosh inverse واحد على X نمرة اثنين
+
+220
+00:24:32,880 --> 00:24:40,780
+Cosh inverse X يساوي Sinh inverse واحد على X نمرة
+
+221
+00:24:40,780 --> 00:24:51,500
+ثلاثة Cotanh inverse X يساوي Tanh inverse واحد على
+
+222
+00:24:51,500 --> 00:24:54,580
+X نقرأ
+
+223
+00:24:57,400 --> 00:25:01,920
+البرهين سهل جدا بنبرهن أي واحدة فيهم والباقي كله
+
+224
+00:25:01,920 --> 00:25:07,640
+بنفس الطريقة فمثلا لو قلنا افترض ان ال Y بدنا
+
+225
+00:25:07,640 --> 00:25:11,060
+نبرهن نمرة A أو النقطة اللي هي نمرة واحد
+
+226
+00:25:18,870 --> 00:25:24,790
+بنجيب الجملة المكافئة لهذه الجملة فبروح نأثر على
+
+227
+00:25:24,790 --> 00:25:32,170
+الطرفين بمن؟ ب Sinh بصير عندي Sinh ال Y يساوي كده؟
+
+228
+00:25:32,170 --> 00:25:40,710
+يساوي X Sinh مقلوب من؟ نقلب ال Cosh يبقى هذا معناه واحد
+
+229
+00:25:40,710 --> 00:25:47,630
+على Cosh ال Y بده يساوي من X بدنا نشكله يبقى هذه
+
+230
+00:25:47,630 --> 00:25:54,450
+بيصير Cosh ال Y يساوي قداش واحد على X بدنا نجيب
+
+231
+00:25:54,450 --> 00:25:59,810
+العبارة المكافئة لهذه العبارة يبقى نأثر على الطرفين
+
+232
+00:25:59,810 --> 00:26:06,710
+بمين؟ Cosh inverse يبقى بيصير أن y يساوي Cosh inverse
+
+233
+00:26:06,710 --> 00:26:14,710
+واحد على x مين هي y؟ ليه Sinh inverse x؟ يبقى هذا
+
+234
+00:26:14,710 --> 00:26:22,190
+معناه أن Sinh inverse x يساوي Cosh inverse واحد على
+
+235
+00:26:22,190 --> 00:26:29,440
+x وهو المطلوب، الشكل يعني هذاباخذ مثال صغير
+
+236
+00:26:29,440 --> 00:26:43,540
+example find the exact value بدنا القيمة الحقيقية
+
+237
+00:26:43,540 --> 00:26:54,820
+of Sinh لميم Sinh لـ Cosh inverse أربعة على ثلاثة
+
+238
+00:27:03,690 --> 00:27:09,630
+يبقى ال solution يبقى
+
+239
+00:27:09,630 --> 00:27:14,570
+يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى
+
+240
+00:27:14,570 --> 00:27:15,050
+يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى
+
+241
+00:27:15,050 --> 00:27:15,190
+يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى
+
+242
+00:27:15,190 --> 00:27:16,070
+يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى
+
+243
+00:27:16,070 --> 00:27:16,590
+يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى
+
+244
+00:27:16,590 --> 00:27:25,430
+يبقى يبقى يبقى ببقدرش هنا ههه أقول أن هذا ال ..
+
+245
+00:27:25,430 --> 00:27:29,770
+هذه آه Sinh و Cosh universe ولا قادر ارسم مثلث ولا
+
+246
+00:27:29,770 --> 00:27:33,710
+قادر .. ما له علاقة بالمثلثات هذه لكن احنا عندنا
+
+247
+00:27:33,710 --> 00:27:41,470
+هنا ههه أول نقطة بأجي بقول هذه تساوي Sinh لما يكون
+
+248
+00:27:41,470 --> 00:27:47,110
+Cosh inverse أربعة على ثلاثة يبقى هو ال Sinh مقلوبة يبقى
+
+249
+00:27:47,110 --> 00:27:52,190
+بنبنى نكتب ال Sinh inverse ونقلبها يبقى هذه Sinh inverse
+
+250
+00:27:52,190 --> 00:27:57,970
+ومقلوبها قداش؟ له ثلاثة على أربعة الآن هذا 
+
+251
+00:27:57,970 --> 00:28:02,340
+الكلام يستخدم الدومين الـ Sich inverse اللي مسحناه
+
+252
+00:28:02,340 --> 00:28:07,140
+قبل قليل من واحد لواحد من صفر لواحد تلت اربع موجودة
+
+253
+00:28:07,140 --> 00:28:11,160
+في الدومين لأنها جاية من الواحد الصحيحة موجودة في
+
+254
+00:28:11,160 --> 00:28:15,440
+الدومين من صفر لواحد إذا هذه هي اللي هتنغي التانية
+
+255
+00:28:15,440 --> 00:28:22,980
+والنتيجة جديش تلت اربع ليش because اللي هو تلت
+
+256
+00:28:22,980 --> 00:28:30,140
+اربع موجودة في الفترة من عند الـ zero لغاية الواحد
+
+257
+00:28:30,140 --> 00:28:34,940
+طب
+
+258
+00:28:34,940 --> 00:28:40,720
+نيجي لل derivatives of
+
+259
+00:28:40,720 --> 00:28:48,020
+inverse hyperbolic functions inverse hyperbolic
+
+260
+00:28:48,020 --> 00:28:50,520
+functions
+
+261
+00:28:51,420 --> 00:29:01,200
+مشتقة معكوس الدوال المثلثية if U is a
+
+262
+00:29:01,200 --> 00:29:10,620
+differentiable function of X then d U على DX
+
+263
+00:29:10,620 --> 00:29:18,980
+لسنش inverse U خلي بالك معناها هنا يبقى واحد على
+
+264
+00:29:18,980 --> 00:29:24,860
+الجذر التربيعي لواحد زائد U تربيع في ال DU على
+
+265
+00:29:24,860 --> 00:29:32,830
+DX لو رجعنا لمشتقة sign inverse فكانت واحد ناقص U
+
+266
+00:29:32,830 --> 00:29:38,270
+تربيع هذا و واحد زائد U تربيع في ال DU على DX
+
+267
+00:29:38,270 --> 00:29:42,410
+وما عنديش قيود على ال U لأن الsin inverse معرفة
+
+268
+00:29:42,410 --> 00:29:46,110
+لمين؟ لكل real line بلا استثناء
+
+269
+00:29:52,060 --> 00:29:59,040
+يبقى 1 على الجذر التربيعي ل U تربيع ناقص واحد في
+
+270
+00:29:59,040 --> 00:30:07,660
+DU على DX و بشرط أن ال U هذه مالها؟ أكبر من الواحد
+
+271
+00:30:07,660 --> 00:30:11,890
+الصحيحة لما عملنا domain الـ Gauss inverse صلي من
+
+272
+00:30:11,890 --> 00:30:16,370
+واحد لوين؟ للما لا نهاية، لكن الـU هذه اللي عند
+
+273
+00:30:16,370 --> 00:30:21,050
+الواحد ماهيوش معرفة، إذا استبعدنا المساواة هنا
+
+274
+00:30:22,280 --> 00:30:31,760
+نعمل تلاتة بدنا D على DX لتانش inverse U يبقى واحد
+
+275
+00:30:31,760 --> 00:30:40,440
+على واحد ناقص U تربيع في DU على DX اربع D على DX
+
+276
+00:30:40,440 --> 00:30:48,440
+لكو تانش inverse U واحد على واحد ناقص U تربيع في DU
+
+277
+00:30:48,440 --> 00:30:55,390
+على DX يعني مشتقة التانش انفرس هي مشتقة الكوتانش
+
+278
+00:30:55,390 --> 00:31:01,310
+انفرس؟ شكلا نعم لكن حقيقة لا، كيف الشكل هيبقى
+
+279
+00:31:01,310 --> 00:31:05,090
+الأثنين زي بعض، لكن بدنا domain كل واحدة فيهم
+
+280
+00:31:05,090 --> 00:31:12,210
+فبروح بقول و بالشرط الـ Absolute Value ليه أقل من
+
+281
+00:31:12,210 --> 00:31:15,770
+واحد لأن ال domain تبعها tension versus ما رسمته
+
+282
+00:31:15,770 --> 00:31:20,710
+محصور بين سالب واحد و واحد وهذه ال domain تبعها
+
+283
+00:31:20,710 --> 00:31:25,560
+greater than one بعد الواحد و جاب المين؟ و جاب
+
+284
+00:31:25,560 --> 00:31:32,700
+للسالب واحد و من هنا جاء الفرق بينهما خمسة بدنا D
+
+285
+00:31:32,700 --> 00:31:43,200
+على DX لمين؟ لسش Inverse U يبقى واحد على U الجذر
+
+286
+00:31:43,200 --> 00:31:51,180
+التربيعي لواحد ناقص U تربيع في DU على DX و الـ U
+
+287
+00:31:51,180 --> 00:31:57,240
+هذه أكبر من الـ Zero وأقل من الواحد الـ Sich
+
+288
+00:31:57,240 --> 00:32:02,380
+inverse الدومين تبعها ما بين Zero وما بين الواحد
+
+289
+00:32:02,380 --> 00:32:12,180
+الآن وبإشارة سالب يا بركالان ستة بدنا D على DX لا
+
+290
+00:32:12,180 --> 00:32:19,200
+قصش inverse U برضه سالب واحد على absolute value ل
+
+291
+00:32:19,200 --> 00:32:25,560
+U الجذر التربيعي لواحد زائد U تربيع في DU على DX
+
+292
+00:32:25,560 --> 00:32:33,920
+وبشرط أن ال U لا تساوي Zero طب من هذه بدنا نروح
+
+293
+00:32:33,920 --> 00:32:40,210
+نجيب ستة كاملات زي ما هذا ست مشتقات بدنا نجيب ست
+
+294
+00:32:40,210 --> 00:32:44,050
+تكاملات مش زي ال inverse trigonometric functions،
+
+295
+00:32:44,050 --> 00:32:47,750
+هذه جيبنا تلت تكاملات والتلت التانية زيهم بإشارة
+
+296
+00:32:47,750 --> 00:32:53,830
+سالب، هذه بتختلف، يبقى لو جيت للتكامل الأول بدنا
+
+297
+00:32:53,830 --> 00:32:59,750
+integration لواحد على الجذر التربيعي ل a تربيع
+
+298
+00:32:59,750 --> 00:33:08,690
+زائد x تربيع dx يبقى هذا كله بمين؟ بsin inverse x
+
+299
+00:33:08,690 --> 00:33:14,030
+على a زائد constant c هذه بالضبط بس بدل الواحد
+
+300
+00:33:14,300 --> 00:33:19,720
+أجتني نفس البرهان تبع sign inverse a يعني بدنا نحط
+
+301
+00:33:19,720 --> 00:33:25,080
+ال U أو بدنا نحط ال X لساوي AT دورة اوتوماتيكا
+
+302
+00:33:25,080 --> 00:33:31,500
+بتطلع معاك هذه و ال A بتروح نمر اتنين بنتكامل واحد
+
+303
+00:33:31,500 --> 00:33:38,320
+على الجذر التربيعي ل X تربيع ناقص A تربيع DX يبقى
+
+304
+00:33:38,320 --> 00:33:44,740
+هذه Gauss inverse كمان X على A زائد constant C
+
+305
+00:33:44,740 --> 00:33:52,260
+تلاتة integration لواحد على واحد او على A تربيع
+
+306
+00:33:52,260 --> 00:33:59,140
+ناقص X تربيع في DX طلعله هنا كويس، الاشتقاق تبع
+
+307
+00:33:59,140 --> 00:34:02,960
+الاتنين بيعطيني نفس النتيجة، إذا أنا عندي تكامل
+
+308
+00:34:06,770 --> 00:34:15,270
+يبدأ الإجابة بدأ تكون إجابتين الإجابة الأولى 1 على
+
+309
+00:34:15,270 --> 00:34:23,110
+a فتانش inverse x على a زائد constant c هنا 1 على
+
+310
+00:34:23,110 --> 00:34:30,770
+a كتانش inverse x على a زائد constant c طب كيف بدي
+
+311
+00:34:30,770 --> 00:34:37,690
+أميز بينهم؟ بنرجع بنقول هذا بالشرط أن ال absolute
+
+312
+00:34:37,690 --> 00:34:44,510
+value ل X أقل من A و هذا بالشرط أن ال absolute
+
+313
+00:34:44,510 --> 00:34:49,650
+value ل X مالها؟ أكبر من A وبالتالي تقيد ده ب
+
+314
+00:34:49,650 --> 00:34:54,850
+domain كل واحدة منهم طب لو وجاني سؤال في الامتحان
+
+315
+00:34:54,850 --> 00:34:59,290
+وجاني زي هي كده أو صرت معاه مثل بهذا شكل اكتب تنش
+
+316
+00:34:59,290 --> 00:35:00,190
+و الله اكتب تنش
+
+317
+00:35:10,360 --> 00:35:17,800
+إذا كان التكامل تكاملا محدودا يبقى أنا بتقيد بحدود
+
+318
+00:35:17,800 --> 00:35:22,310
+التكامل يابا حطله التنش، يالكه تنش، حسب حدود
+
+319
+00:35:22,310 --> 00:35:27,150
+التكامل اللي موجودة عندنا كما سنعطيك مثال بعد قليل
+
+320
+00:35:27,150 --> 00:35:34,730
+إن شاء الله تعالى. طيب التكامل الرابع بنتكامل ل 1
+
+321
+00:35:34,730 --> 00:35:42,250
+على x الجذر التربيعي ل a تربيع ناقص x تربيع دي x
+
+322
+00:35:42,250 --> 00:35:48,570
+يبقى هنا الكلام دي يساوي سالب 1 على a ل sich
+
+323
+00:35:48,570 --> 00:35:58,550
+inverse x على a زائد constant c وبشرط
+
+324
+00:35:58,550 --> 00:36:03,450
+أن ال zero أقل من x أقل من مين؟
+
+325
+00:36:06,370 --> 00:36:33,470
+نمر الخامسة بدنا تكامل واحد على اكس
+
+326
+00:36:39,960 --> 00:36:44,540
+لا حد ينصب انتهى الجزء النظري تبع ال section كله
+
+327
+00:36:44,540 --> 00:36:51,320
+لم يبق إلا مجموعة من الأمثلة على التفاضلات
+
+328
+00:36:51,320 --> 00:36:58,540
+والتكاملات وما يتعلق بمين؟ بمعكوس الدوال الزائدي
+
+329
+00:36:58,540 --> 00:37:06,040
+يبقى
+
+330
+00:37:06,040 --> 00:37:14,090
+examples بناخد example one أول
+
+331
+00:37:14,090 --> 00:37:20,010
+مثال solve for
+
+332
+00:37:20,010 --> 00:37:27,870
+x حل بالنسبة إلى x المعادلة E أس جوش inverse
+
+333
+00:37:27,870 --> 00:37:39,670
+لإتنين x زائد D على DX لماين لكو صين انفرس لصين ال
+
+334
+00:37:39,670 --> 00:37:46,650
+X الشكل اللي عندنا هذا كله يساوي Zero و Zero أقل
+
+335
+00:37:46,650 --> 00:37:54,690
+من أو يساوي X أقل من أو يساوي ال واحد هذا السؤال
+
+336
+00:37:54,690 --> 00:38:00,470
+يا شباب جئنا به في إحدى الامتحانات السابقة والآن
+
+337
+00:38:00,470 --> 00:38:06,950
+جايبين اقولك مثال مشان تعرف كيف بنفكر في ربط عدة
+
+338
+00:38:06,950 --> 00:38:14,870
+مواضيع مع بعضها بسؤال واحد السؤال مرة تانية بقول
+
+339
+00:38:14,870 --> 00:38:18,590
+Solve for X يعني حل بالنسبة لـ X يعني هات للقيمة
+
+340
+00:38:18,590 --> 00:38:24,050
+العددية لمن؟ لـ X علمًا بأن X محصورة بين صفر و
+
+341
+00:38:24,050 --> 00:38:27,490
+واحد لو الـ X كله اتبرأ أثناء الحل معاه و تحل
+
+342
+00:38:27,490 --> 00:38:32,430
+أكمل، مش مظبوط يبقى X محصورة بين الصفر و الواحد
+
+343
+00:38:32,430 --> 00:38:37,870
+أكبر من الصفر أو تساوي وأقل من واحد أو تساوي باجي
+
+344
+00:38:37,870 --> 00:38:43,830
+بتطلع هذا exponential مش تقى يبقى أنا بدي اشتق هذه
+
+345
+00:38:43,830 --> 00:38:48,530
+ومشان اطلع اشوف ايه الشكل الناتج في ما بقى إذا
+
+346
+00:38:48,530 --> 00:38:55,910
+باجي بقوله solution المثل اللي عندك E أس غوش انفرس
+
+347
+00:38:55,910 --> 00:39:01,180
+اتنين X الشكل اللي عندنا هذه مشتقة الـ cosine
+
+348
+00:39:01,180 --> 00:39:08,300
+inverse بسالب واحد على مين؟ على الجذر التربيعي
+
+349
+00:39:08,300 --> 00:39:15,160
+لواحد ناقص sine تربيع ال X في مشتقة الـ sine اللي
+
+350
+00:39:15,160 --> 00:39:19,580
+هو cosine X كله بيديه سوى قداش؟ بيديه سوى Zero
+
+351
+00:39:19,580 --> 00:39:28,370
+صارت المسألة E أس غوش inverse 2X ناقص واحد ناقص صين
+
+352
+00:39:28,370 --> 00:39:34,410
+تربيع X كوصين تربيع X تطلع من تحت الجذر absolute
+
+353
+00:39:34,410 --> 00:39:39,590
+من ال X لكن X محسوبة بين صفر و واحد يبقى كوصين
+
+354
+00:39:39,590 --> 00:39:45,190
+موجة يبقى بصيرة عندك كوصين ال X و اللي تحت كله
+
+355
+00:39:45,190 --> 00:39:51,890
+كوصين ال X يساوي Zero إذا صار E أس غوش inverse
+
+356
+00:39:51,890 --> 00:40:00,000
+للإتنين X ناقص واحد يساوي مانبيساوي 0 او E أس غوش
+
+357
+00:40:00,000 --> 00:40:09,140
+انفرس غوش انفرس اتنين X اتنين X بدي ساوي قداش؟ واحد
+
+358
+00:40:09,140 --> 00:40:14,200
+احنا بدنا ال X يبقى أول خطوة بنتخلص منين؟ من ال
+
+359
+00:40:14,200 --> 00:40:19,440
+exponential يبقى ناخد لان للطرفين يبقى هذا بده
+
+360
+00:40:19,440 --> 00:40:26,860
+يعطيلك أن غوش انفرس اتنين اكس بده يساوي لن الواحد
+
+361
+00:40:26,860 --> 00:40:32,920
+لأن الواحد في جداش إذا جوش inverse اتنين اكس بده
+
+362
+00:40:32,920 --> 00:40:38,020
+يساوي جداش بده يساوي zero أنا مابديش شكل حتى جوش
+
+363
+00:40:38,020 --> 00:40:43,400
+inverse يبقى بأثر على الطرفين بمين؟ بجوش يبقى هذا
+
+364
+00:40:43,400 --> 00:40:51,940
+بدي يعطيك جوش لمن؟ لجوش inverse ل 2x بدي ساوي جوش
+
+365
+00:40:51,940 --> 00:40:52,620
+ال zero
+
+366
+00:41:02,560 --> 00:41:11,640
+يبقى 1 ومنها x يساوي نص الموجودة في الفترة المغلقة
+
+367
+00:41:25,110 --> 00:41:32,010
+مع مشتقة الدول المثلثية كله بسؤال واحد المثال
+
+368
+00:41:32,010 --> 00:41:41,790
+الثاني نمر اتنين find y prime for each of the
+
+369
+00:41:41,790 --> 00:41:48,870
+following النقطة
+
+370
+00:41:48,870 --> 00:41:49,390
+الأولى
+
+371
+00:42:00,660 --> 00:42:06,730
+نشتغل الدالة هذه واضح أن هذا جزء وهذا جزء تاني يعني
+
+372
+00:42:06,730 --> 00:42:10,730
+هذه function وهذه function تانية إذا هذه مشتقة
+
+373
+00:42:10,730 --> 00:42:17,010
+main حصل ضرب دالتين يبقى بدنا ال y prime يساوي
+
+374
+00:42:17,010 --> 00:42:21,770
+الدالة الأولى مشتقة الدالة التانية مشتقة tan
+
+375
+00:42:21,770 --> 00:42:27,470
+inverse x اللي هي واحد على واحد ناقص x تربيع هي 
+
+376
+00:42:27,470 --> 00:42:31,090
+الأولى في مشتقة الثانية زائد tan
+
+377
+00:42:37,590 --> 00:42:46,690
+Y' يساوي 1 ناقص X في 
+
+378
+00:42:46,690 --> 00:42:55,870
+1 زائد X ناقص tanh inverse X نختصر هذا مع هذا يبقى
+
+379
+00:42:55,870 --> 00:43:02,730
+النتيجة النهائية واحد على واحد زائد X ناقص tanh 
+
+380
+00:43:02,730 --> 00:43:09,250
+inverse X واحد
+
+381
+00:43:09,250 --> 00:43:15,230
+على واحد زائد X وهذه ناقص لكي نفهم أن شرط ناقص برا
+
+382
+00:43:15,230 --> 00:43:24,730
+يبقى ناقص tanh inverse X نقطة ثانية Y تساوي gersh
+
+383
+00:43:24,730 --> 00:43:33,310
+inverse لمين؟ لـ 2 الجذر التربيعي لـ X زائد واحد
+
+384
+00:43:35,100 --> 00:43:43,000
+يبقى Y' يساوي تفاضل الجوش inverse واحد على الجذر
+
+385
+00:43:43,000 --> 00:43:50,520
+التربيعي لمربع المقدار هذا له 4 في X زائد واحد
+
+386
+00:43:51,280 --> 00:43:57,980
+الربع بطير الجذر وعندك هنا ناقص 1 في مشتقة
+
+387
+00:43:57,980 --> 00:44:03,420
+الزاوية 2 ما لكش دعوة والجذر 1 على 2
+
+388
+00:44:03,420 --> 00:44:08,820
+الجذر التربيعي لـ X زائد واحد في مشتقة ما تحت الجذر
+
+389
+00:44:09,000 --> 00:44:14,320
+بـ 1 صحيح يبقى هذا النتيجة يساوي لـ 2 هذه مع
+
+390
+00:44:14,320 --> 00:44:18,940
+2 الله يسهل عليها يبقى البسط كله بـ 1 صحيح
+
+391
+00:44:18,940 --> 00:44:26,240
+هذه 4 X زائد 3 طبعا 4 X زائد 4
+
+392
+00:44:26,240 --> 00:44:30,960
+ناقص 1 يبقى 4 X زائد 3 وهذا يبقى
+
+393
+00:44:30,960 --> 00:44:40,020
+الجذر التربيعي لـ X زائد 1 النقطة الثالثة هذا
+
+394
+00:44:40,020 --> 00:44:45,620
+صحيح وهذا تحت الجذر مظبوط وهذا تحت الجذر طيب
+
+395
+00:44:45,620 --> 00:44:55,500
+السؤال الثالث بيقول لي Y تساوي جوش الـ X في Tan
+
+396
+00:44:55,500 --> 00:45:02,140
+لمين؟ Tan لـ sin inverse X
+
+397
+00:45:05,840 --> 00:45:11,400
+يبقى بدنا نطبق قاعدة، you say هذه تعتبر دالة و
+
+398
+00:45:11,400 --> 00:45:18,870
+هذه دالة ثانية يبقى جوش الـ X زي ما هو في مشتقة
+
+399
+00:45:18,870 --> 00:45:27,570
+الثانية تفاضل الـ tan بسيك تربيع لمين؟ لـ sin inverse X
+
+400
+00:45:27,570 --> 00:45:32,830
+خلصنا؟ لا لسه بيبقى تضرب في مشتقة الـ sin inverse
+
+401
+00:45:32,830 --> 00:45:40,030
+اللي هو جذر واحد على الجذر التربيعي لواحد زائد X
+
+402
+00:45:40,030 --> 00:45:45,990
+تربيع هي أخذنا الأولى في مشتقة الثانية زائد الدالة
+
+403
+00:45:45,990 --> 00:45:53,250
+الثانية اللي هي Tan لـ Sin inverse X في مشتقة الجوش
+
+404
+00:45:53,250 --> 00:46:00,170
+اللي هو بـ Sin X السؤال الرابع أو النقطة الرابعة
+
+405
+00:46:23,540 --> 00:46:32,230
+سؤال مرة ثانية مشتقة cotanh inverse لكوتان E أُس X
+
+406
+00:46:32,230 --> 00:46:37,690
+يعني اللي برا دالة زائدية واللي جوا دالة أسية
+
+407
+00:46:37,690 --> 00:46:41,490
+والثانية cotanh inverse للـ X exponential function
+
+408
+00:46:41,490 --> 00:46:51,710
+2 أُس X تساوي تفاضل cotanh inverse واحد على واحد
+
+409
+00:46:51,710 --> 00:47:01,430
+ناقص cotan تربيع E أُس X تفاضل cotanh inverse X واحد
+
+410
+00:47:01,430 --> 00:47:08,140
+على واحد ناقص X تربيع يبقى واحد ناقص cotan تربيع E أُس
+
+411
+00:47:08,140 --> 00:47:17,320
+في مشتقة مين الـ cotan؟ مشتقة الـ cotan بسالب cosec تربيع
+
+412
+00:47:17,320 --> 00:47:24,480
+E أُس X في مشتقة الزاوية مين؟ بـ E أُس X بالشكل اللي عندنا
+
+413
+00:47:25,920 --> 00:47:31,740
+يبقى هذا انتهينا من مين؟ من اشتقاق الجزء الأول لسه
+
+414
+00:47:31,740 --> 00:47:37,780
+الآن زائد cosec inverse اللي هو مين؟ سالب واحد على
+
+415
+00:47:37,780 --> 00:47:44,760
+absolute value لـ 2 X الـ 2 دائما نقول ناقص X
+
+416
+00:47:44,760 --> 00:47:48,320
+أكبر من الـ 0 يبقى كتبت الـ absolute و الله ما
+
+417
+00:47:48,320 --> 00:47:55,000
+كتبته سيان في مين؟ في الجذر التربيعي يلا واحد زائد
+
+418
+00:47:55,000 --> 00:48:00,640
+2 اس X لكل تربيع في مشتقة 2 X اللي 
+
+419
+00:48:00,640 --> 00:48:05,600
+2 اس X في مين؟ في الـ ln 2 يبقى 2 اس
+
+420
+00:48:05,600 --> 00:48:13,390
+X مع 2 اس X الآن هذا الكلام بده يساوي اللي
+
+421
+00:48:13,390 --> 00:48:21,270
+هو من E اس X بالسالب طبعا هي سالب وهي يساوي في من في
+
+422
+00:48:21,270 --> 00:48:29,710
+cosecant تربيع E اس X على واحد ناقص cotan تربيع E اس X
+
+423
+00:48:29,710 --> 00:48:36,510
+ناقص لأن 2 على الجذر التربيعي لواحد زائد 
+
+424
+00:48:36,510 --> 00:48:42,890
+2 اس 2 X هذا النقطة الرابعة بدنا نروح
+
+425
+00:48:42,890 --> 00:48:53,260
+للنقطة الخامسة اليمين Y تساوي Y تساوي الجذر
+
+426
+00:48:53,260 --> 00:49:04,980
+التربيعي لـ sech inverse X زائد E tanh inverse لمين
+
+427
+00:49:04,980 --> 00:49:11,200
+لـ 2 X بدنا الـ Y' تساوي
+
+428
+00:49:15,960 --> 00:49:24,300
+يبقى تفاضل الجذر 1 على 2 الجذر ضرب
+
+429
+00:49:24,300 --> 00:49:30,880
+مشتقة ما تحت الجذر مشتقة الـ sech inverse سالب 1
+
+430
+00:49:30,880 --> 00:49:38,200
+على X الجذر التربيعي لـ 1 ناقص X تربيع يبقى مشتقة
+
+431
+00:49:38,200 --> 00:49:43,040
+الجذر واحد على 2 الجذر في مشتقة ما تحت الجذر
+
+432
+00:49:43,040 --> 00:49:48,140
+السالب واحد على X الجذر التربيعي لـ 1 ناقص X
+
+433
+00:49:48,140 --> 00:49:48,780
+تربيع
+
+434
+00:49:55,230 --> 00:50:00,270
+في مشتقة الـ E مشتقة الـ tanh inverse اللي هو واحد
+
+435
+00:50:00,270 --> 00:50:07,430
+على واحد ناقص 2 X لكل تربيع في مشتقة الزاوية
+
+436
+00:50:07,430 --> 00:50:12,950
+اللي هو بقداش بـ 2 اختصارات ما فيش خلّيها زي ما
+
+437
+00:50:12,950 --> 00:50:18,470
+هي واتوكل على الله وصلنا لآخر مثال اللي هو مثال
+
+438
+00:50:18,470 --> 00:50:24,490
+التكاملات نؤجله للمرة القادمة إن شاء الله تعالى 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/8c2fuVf2wzs_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/8c2fuVf2wzs_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..82c926ad37a33c87800eea86177d4d1a8d263496
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/8c2fuVf2wzs_postprocess.srt
@@ -0,0 +1,1752 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:12,550 --> 00:00:16,390
+الان نكمل الموضوع اللى اتفتدنا فيه المرة اللى فاتت
+
+3
+00:00:16,390 --> 00:00:20,570
+وهو ال hyperbolic functions خدنا ال derivatives لل
+
+4
+00:00:20,570 --> 00:00:25,610
+hyperbolic functions وبدأنا في التكاملات و اخر
+
+5
+00:00:25,610 --> 00:00:32,070
+حاجة كملناها كان تكامل tanx X وSix ال X وقلنا ان
+
+6
+00:00:32,070 --> 00:00:37,710
+ال potential X تماما زى ال tanx و ال cosix تكاملها
+
+7
+00:00:37,710 --> 00:00:41,470
+زى ال six بالضبط زى ما عملنا ال six بنعمل main
+
+8
+00:00:41,610 --> 00:00:46,930
+بننتقل هنا لتكامل الرقم 2 يبقى integration لإي و
+
+9
+00:00:46,930 --> 00:00:50,510
+أص ناقص X في جوش ال X DX
+
+10
+00:00:56,730 --> 00:01:00,690
+لذلك ممكن احولها كلها بدلات ال X exponential
+
+11
+00:01:00,690 --> 00:01:05,390
+function واسهلنا من هذه الشغله اذا هذه بتصير
+
+12
+00:01:05,390 --> 00:01:11,450
+كالتالي يساوي integration ل E والسلب X جوش ال X
+
+13
+00:01:11,450 --> 00:01:17,110
+ليه E والسكس زائد E والسلب X كله على اتنين في DX
+
+14
+00:01:19,230 --> 00:01:22,910
+هذا الكلام بده يسوى نص خلّيه برا التكامل لإنه
+
+15
+00:01:22,910 --> 00:01:30,010
+constant وهذا بيظل واحد زائد E أس ناقص اتنين X وكل
+
+16
+00:01:30,010 --> 00:01:36,570
+هذا بالنسبة لمين؟ لديه X يبقى هذا نص وتكامل الواحد
+
+17
+00:01:36,570 --> 00:01:43,290
+هو ب X وال X بننشل بنفسها زي ما هي مقسومة على سالب
+
+18
+00:01:43,290 --> 00:01:51,540
+اتنينزائد constant C إذا الإجابة مُص ال X ناقص ربع
+
+19
+00:01:51,540 --> 00:01:59,900
+E أُس ناقص اتنين X زائد constant C التكامل التالت
+
+20
+00:01:59,900 --> 00:02:13,360
+بدنا تكامل لمين؟ لسش تكيب ال X تانش ال X DX ويسوى
+
+21
+00:02:15,570 --> 00:02:26,090
+يالا ماذا تقترحون حتى نستطيع نكامل هذه المثلة نعمل
+
+22
+00:02:26,090 --> 00:02:34,410
+الصش اللي هو صش square x في صش ال x في تانش ال x
+
+23
+00:02:34,410 --> 00:02:42,510
+في dxهذا كله مشتقة مين؟ سش بس بإشارة سالب لإن
+
+24
+00:02:42,510 --> 00:02:49,810
+مشتقة السش بسالب سش تانش، إذا هذه تساوي سالب تكامل
+
+25
+00:02:49,810 --> 00:02:58,760
+لسش square X دي لسش ال X، شكل عن هذاوكان واحدة من
+
+26
+00:02:58,760 --> 00:03:06,000
+كامل y تربيه dy يعني من هنا لو حطيت ال Sich x بy
+
+27
+00:03:06,000 --> 00:03:12,860
+يبقى Sich x تانش ال x هي سالب dy على أي حال كان
+
+28
+00:03:12,860 --> 00:03:17,780
+المثل y تربيه dy يبقى فانضيف للؤس واحد بنختهم على
+
+29
+00:03:17,780 --> 00:03:26,930
+الأس الجديد يبقى ناقص طول Sichتكييب ال X زائد
+
+30
+00:03:26,930 --> 00:03:37,510
+constant C السؤال الرابع بدنا تكامل لسنش اتنين X
+
+31
+00:03:37,510 --> 00:03:50,110
+على واحد زائد جوش ال X كله بالنسبة ال ا دي X يساوي
+
+32
+00:03:50,110 --> 00:03:57,390
+عن اسم رأيكواواضح هنا جوش ال X وهنا سنش اتنين X
+
+33
+00:03:57,390 --> 00:04:07,930
+يبقى هذه اتنين
+
+34
+00:04:07,930 --> 00:04:17,580
+سنش ال X في جوش ال Xفي جوش ال X كله على مين؟ على 1
+
+35
+00:04:17,580 --> 00:04:26,300
+زائد جوش ال X كله بالنسبة لمين؟ كله DXممكن اشيل
+
+36
+00:04:26,300 --> 00:04:32,320
+المقام كله مرة واحدة و احطه بمتغير اخر اذا لو حطيت
+
+37
+00:04:32,320 --> 00:04:41,200
+ال y تساوي واحد زائد قوش ال x يبقى dy يساوي سنش ال
+
+38
+00:04:41,200 --> 00:04:48,560
+x dx اذا ممكن اشيل سنش ال x مع ال dx كل هذه اكتر
+
+39
+00:04:48,560 --> 00:04:55,200
+بدلها مياميبقى بصير المثل يساوي هاي اتنين برا وهي
+
+40
+00:04:55,200 --> 00:05:02,220
+تكامل هادي مع هادي اللي هي بدي واي طيب جوش ال X هي
+
+41
+00:05:02,220 --> 00:05:09,020
+عبارة عن واي ناقص واحد يبقى واي ناقص واحد على واي
+
+42
+00:05:09,020 --> 00:05:13,040
+بالشكل اللي عنها ده يبقى اتحولت المثل من دوال
+
+43
+00:05:13,040 --> 00:05:18,290
+زائدية إلى دوال عاديةيبقى هذا الكلام بده يساوي
+
+44
+00:05:18,290 --> 00:05:27,890
+اتنين تكامل واحد ماقص واحد على Y في ال D Y يساوي
+
+45
+00:05:27,890 --> 00:05:29,910
+اتنين
+
+46
+00:05:30,930 --> 00:05:37,290
+تكامل واحد هو بـY وهذا يناقص لإن absolute value
+
+47
+00:05:37,290 --> 00:05:45,610
+لـY زائد constant C وتساوي 2 فيه نجي الى Y يبقى
+
+48
+00:05:45,610 --> 00:05:53,430
+واحد زائد جوش ال X يبقى واحد زائد جوش ال X ناقص
+
+49
+00:05:53,430 --> 00:06:00,560
+لإن واحد زائد جوش ال Xزائد كونستان سي بالشكل اللي
+
+50
+00:06:00,560 --> 00:06:04,820
+عندنا هنا طبعا ماحطيتش ال absolute value لإن الجوش
+
+51
+00:06:04,820 --> 00:06:09,280
+دائما و أبدا موجة بياخد قيم من واحد فما فوق و انا
+
+52
+00:06:09,280 --> 00:06:15,100
+كمان واحد يبجي هذه positive for all x يبجي هذه بده
+
+53
+00:06:15,100 --> 00:06:21,760
+يسوى اتنين زائد اتنين جوش ال X ماقص لين واحد زائد
+
+54
+00:06:21,760 --> 00:06:27,470
+جوش ال X زائد كونستان سيلو روحنا للكتاب بلاجيش
+
+55
+00:06:27,470 --> 00:06:32,010
+الإجابة هذه بلاجي جزء منها وجزء منها لأ يبقى لو
+
+56
+00:06:32,010 --> 00:06:39,250
+روحنا للكتاب بلاجي اتنين جوش ال X ناقص من واحد
+
+57
+00:06:39,250 --> 00:06:44,790
+زائد جوش ال X بالشكل اللي قامناها بقى زائد
+
+58
+00:06:44,790 --> 00:06:51,590
+constant وليكن C1الان الـ C هذه تعتبر constant و 2
+
+59
+00:06:51,590 --> 00:06:56,990
+كمان constant ممكن يشيلهم و يحضرهم C1 و الـ C1 بده
+
+60
+00:06:56,990 --> 00:07:01,390
+يساوي C زائد 2 يبقى بنلاقي الإجابة عنها، هذي
+
+61
+00:07:01,390 --> 00:07:05,670
+ملاقيش الإجابة اللي فوق، على أي حال، هذي والله هذي
+
+62
+00:07:05,670 --> 00:07:12,670
+تفرجش هناطيب هذا السؤال الرابع السؤال الخامس بدنا
+
+63
+00:07:12,670 --> 00:07:21,010
+تكامل لواحد زائد تانش ال X كله مقسوم العالمين على
+
+64
+00:07:21,010 --> 00:07:24,330
+جوش square X في ال DX
+
+65
+00:07:30,760 --> 00:07:36,440
+الان لو جيتلي هذه المثلة بقدر اقول هذا الكلام بده
+
+66
+00:07:36,440 --> 00:07:41,200
+يساوي تكامل اظن ابسط شغل انه بوزع ال bus على
+
+67
+00:07:41,200 --> 00:07:50,320
+المقام يبقى بصير ان هذه واحد على جوش square X زائد
+
+68
+00:07:50,320 --> 00:07:58,200
+tan x على جوش square X كل هذا الكلام بالنسبة لDX
+
+69
+00:07:59,180 --> 00:08:03,000
+هذا بدى يساوي تكامل واحد على جوش square اللى هى
+
+70
+00:08:03,000 --> 00:08:10,360
+مين؟ سش Square X زاد هدى واحد على جوش Square كمان
+
+71
+00:08:10,360 --> 00:08:19,280
+سش Square X يبقى هدى سش Square X في تانش ال X كله
+
+72
+00:08:19,280 --> 00:08:27,340
+بالنسبة الى مين؟ الى DX هدى تكاملها سهلهذه تكاملها
+
+73
+00:08:27,340 --> 00:08:32,800
+زي مين؟ زي السؤال اللي عندنا هنا في الأول بالضبط
+
+74
+00:08:32,800 --> 00:08:39,180
+تماما، ليش؟ لأن تفاضل التانش هو سيش ياسكوير، يعني
+
+75
+00:08:39,180 --> 00:08:46,920
+ممكن أشيل هذه مع هذه و اكتف بدلها دي تانش يعني كأن
+
+76
+00:08:46,920 --> 00:08:56,030
+المسألة هي تكامل لسيش ياسكوير x dx زائدتانش ال X
+
+77
+00:08:56,030 --> 00:09:03,490
+بدنا نكاملها وهذه مع هذه اللي مشتقة تانش ال X
+
+78
+00:09:03,490 --> 00:09:09,930
+طلعلي مرة تانيةمشتقة تانش ال X اللي ب سك سكوير X
+
+79
+00:09:09,930 --> 00:09:15,950
+DX هي سك سكوير X أو سش سكوير X وهذا DX يبقى سش
+
+80
+00:09:15,950 --> 00:09:23,250
+سكوير X مع DX كتبت بدلها D تانش يبقى تكامل السش
+
+81
+00:09:23,250 --> 00:09:32,350
+سكوير هو تانش ال X زائد تانش سكوير X كله على اتنين
+
+82
+00:09:32,350 --> 00:09:35,010
+زائد كله سطن C
+
+83
+00:09:42,080 --> 00:09:48,620
+إتنين، هذه مالها؟
+
+84
+00:09:48,620 --> 00:09:52,260
+هذه اتنين،
+
+85
+00:09:52,260 --> 00:09:57,520
+اه هنا بدها اتنين فقط و لا غير، صحيح؟ وهذه بدها
+
+86
+00:09:57,520 --> 00:10:04,420
+اتنين، صحيح، مظبوط كلامك، صح مائة بالمائة، ايوة
+
+87
+00:10:13,420 --> 00:10:18,340
+بقول زي ما بدك بس اكتبليه صح وخلاص كل حاجة تكتبها
+
+88
+00:10:18,340 --> 00:10:21,440
+صح
+
+89
+00:10:21,440 --> 00:10:25,500
+ماحدش يقدر يترد عليك فيها تمام؟ المهم تقبل كتابتك
+
+90
+00:10:25,500 --> 00:10:30,340
+صحيها واتخافش كلمة تكتب اكتبها عند التصحية بترجمها
+
+91
+00:10:30,340 --> 00:10:36,920
+شاطر في الترجمة طيب need a need a love سؤال اللي
+
+92
+00:10:36,920 --> 00:10:44,490
+بعده هذا خمسة سؤال ستةسؤال ستة بدنا تكامل لتانش ال
+
+93
+00:10:44,490 --> 00:10:55,630
+X لن جوش ال X كله في دي X لن جوش ال X كله في تانش
+
+94
+00:10:55,630 --> 00:10:56,030
+ال X
+
+95
+00:10:59,120 --> 00:11:03,000
+لو جينا نتطلع للمثل هذه في شغل مصعبان، شو لبس
+
+96
+00:11:03,000 --> 00:11:08,900
+الشعب هذه؟ اللي هو لن جوش، تمام؟ إذا لو حطيت ال y
+
+97
+00:11:08,900 --> 00:11:17,060
+تساوي لن جوش ال x، بدنا dy يبقى واحد على جوش ال x
+
+98
+00:11:17,060 --> 00:11:21,900
+في تفاضل الجوش اللي هو سنش ال x في ال dx، يعني ال
+
+99
+00:11:21,900 --> 00:11:27,940
+dy سنش على جوش اللي هي بمين؟تانش ال X DX يبقى هذا
+
+100
+00:11:27,940 --> 00:11:34,340
+كله مع هذا كله بشيله بحق بدل مين DY يبقى صارت
+
+101
+00:11:34,340 --> 00:11:42,990
+المثلة كامل Y DYيبقى هذا بسيط جدا نص y تربيع زائد
+
+102
+00:11:42,990 --> 00:11:49,510
+كونستان سي نص بشيل ال y و بحط بدل اللين جوش ال x
+
+103
+00:11:49,510 --> 00:11:58,110
+لكل تربيع زائد كونستان سي good exercise لك حل
+
+104
+00:11:58,110 --> 00:12:08,750
+فالدقرة براحتكبدا تكامل ل cos inverse لتانش
+
+105
+00:12:08,750 --> 00:12:18,450
+ال x سيش square x كل هذا على ال square root لواحد
+
+106
+00:12:18,450 --> 00:12:25,190
+minus اللي هو tan square x كله بالنسبة ل dx
+
+107
+00:12:28,840 --> 00:12:34,520
+cos inverse وليس cos inverse انت حتى الآن مااخدتش
+
+108
+00:12:34,520 --> 00:12:39,560
+معاكوس الدوالة الزائدية ولكن ساخدهم فورا
+
+109
+00:13:07,770 --> 00:13:13,130
+بنجي الآن لمعكوس الدوال الذائدية يبقى ال inverse
+
+110
+00:13:13,130 --> 00:13:20,310
+hyperbolic functions ال inverse hyperbolic
+
+111
+00:13:20,310 --> 00:13:24,490
+functions
+
+112
+00:13:24,490 --> 00:13:28,170
+معكوس
+
+113
+00:13:28,170 --> 00:13:33,750
+الدوال الذائدية خلي بالك معناه هنا
+
+114
+00:13:36,700 --> 00:13:42,180
+هذا محور X هذا محور Y هذا نقطة الاصل اللي هي Zero
+
+115
+00:13:42,180 --> 00:13:47,400
+افتحولي على رسمة الدول الزائدية اللي رسمناها المرة
+
+116
+00:13:47,400 --> 00:13:53,380
+الماضية الرسومات الستة مشان بدنا نجيب المعكوسات
+
+117
+00:13:53,380 --> 00:14:00,060
+تبعتهالو رحت لرسمة sin inverse فرسمة sin inverse
+
+118
+00:14:00,060 --> 00:14:05,500
+كانت بالشكل اللي عندنا هذا open up open down لما
+
+119
+00:14:05,500 --> 00:14:11,040
+نسم الخط y تساوي x تجلبها عبرها يبقى بيصير sin
+
+120
+00:14:11,040 --> 00:14:18,580
+inverse بهذا الشكل يبقى
+
+121
+00:14:18,580 --> 00:14:24,760
+هذه رسمة مين sin inverse
+
+122
+00:14:24,760 --> 00:14:30,340
+xواضح ان ال domain يساوي ال range يساوي كل ال real
+
+123
+00:14:30,340 --> 00:14:31,860
+line ب ال estate
+
+124
+00:14:40,960 --> 00:14:43,580
+في نقطة واحدة يبقى الدالة one to one يبقى ال
+
+125
+00:14:43,580 --> 00:14:48,400
+inverse exist يبقى هي رسمت من ال inverse بدنا نيجي
+
+126
+00:14:48,400 --> 00:14:52,880
+ل ال gauche inverse يبقى لو روحنا و قولنا هذا محور
+
+127
+00:14:52,880 --> 00:14:59,060
+X هذا محور Y هذه نقطة الأصل اللي هي Zero رسمنا
+
+128
+00:14:59,060 --> 00:15:02,780
+منحنى ال gauche فمنحنى ال gauche بقى جارى زي هيك
+
+129
+00:15:03,100 --> 00:15:09,880
+هذه النقطة هي 1 او 01 لو رسمت horizontal line
+
+130
+00:15:09,880 --> 00:15:14,880
+هيقطع المنحنى وين فيه نقطتين لذلك بدنا نروح نعمل
+
+131
+00:15:14,880 --> 00:15:19,240
+restriction على ال domain المنقطة هذه كأنها مش
+
+132
+00:15:19,240 --> 00:15:24,750
+موجودة بداخل بس الجزء اللي على اليمينيبقى لو جينا
+
+133
+00:15:24,750 --> 00:15:29,390
+و قولنا هذا الخط اللى عندنا y تساوي x و بدي أقلب
+
+134
+00:15:29,390 --> 00:15:36,250
+الرسمة عبر هذا الخط هذا الخط اللى همين y تساوي x
+
+135
+00:15:39,530 --> 00:15:43,710
+أجلب الرسم عبر الخط يبقى النقطة هذه الإحداثي تبعها
+
+136
+00:15:43,710 --> 00:15:49,990
+Zero و واحد و Zero يبقى بدأ يصير هذه هذا كمكيف
+
+137
+00:15:49,990 --> 00:15:55,210
+أبوه يصير ماله كمكيف دعوه يكون متمثل بالنسبة لمن
+
+138
+00:15:55,210 --> 00:16:01,550
+للخط Y تساوي X إذا اللي فوق هذه هي جوش X و اللي
+
+139
+00:16:01,550 --> 00:16:10,090
+تحت هذه هي جوش inverse X ال domainبتابع جوش
+
+140
+00:16:10,090 --> 00:16:19,610
+inverse x يساوي من واحد لغاية infinity
+
+141
+00:16:19,610 --> 00:16:28,210
+و ال range بتابع جوش inverse x بده يساويمن 0
+
+142
+00:16:28,210 --> 00:16:33,370
+لإنفينيتي يبقى من 0 لأقل قيمة بياخدها هنا اللي هي
+
+143
+00:16:33,370 --> 00:16:38,910
+الصفر و بيبدأ يطلع و يزيد يبقى هذه رسمة من الجوش
+
+144
+00:16:38,910 --> 00:16:43,790
+والجوش inverse اطلعلي على رسمة التنش inverse عندك
+
+145
+00:16:43,790 --> 00:16:49,960
+التنش ال X قصديتانش ال X لو رسمت اي horizontal
+
+146
+00:16:49,960 --> 00:16:54,140
+line بتلاقي يقطع المنحنى في نقطة واحدة المنحنى
+
+147
+00:16:54,140 --> 00:16:59,000
+مرسوم بين سالب واحد و واحد ارسم اي خط اوفقي بتلاقي
+
+148
+00:16:59,000 --> 00:17:04,800
+يقطع في نقطة واحدة اذا المعكوس موجود وبالتالي لو
+
+149
+00:17:04,800 --> 00:17:09,920
+رحت ارسم منحنى تانش inverse يبقى بقول هذا محور X
+
+150
+00:17:09,920 --> 00:17:15,730
+وهذا محور Yوهذا النقطة الى 1 وهذا النقطة الى 2
+
+151
+00:17:15,730 --> 00:17:24,550
+سالب 1لو تخيلت الخط X يساوي واحد والخط X يساوي
+
+152
+00:17:24,550 --> 00:17:30,130
+سالب واحد وجهت أرسم الرسمة اللي عندنا هذه يبقى
+
+153
+00:17:30,130 --> 00:17:35,330
+رسمتها شبيهة بمنحنتان مع الفارق هذا من سلب واحد
+
+154
+00:17:35,330 --> 00:17:38,290
+إلى اتنين اللي هو اتنين لكن هذا من سلب واحد إلى
+
+155
+00:17:38,290 --> 00:17:44,110
+واحد يبقى بديجيك المنحنة بالشكل هذا هيك ويجي نازل
+
+156
+00:17:44,110 --> 00:17:51,310
+بهذا الشكليبقى هذه رسمة اللي هو mean tan inverse x
+
+157
+00:17:51,310 --> 00:17:56,850
+الان بدنا ال domain للتانش inverse اللي هجينا و
+
+158
+00:17:56,850 --> 00:18:02,970
+قولنا بدنا ناخد ال domain للتانش inverse x اللي هو
+
+159
+00:18:02,970 --> 00:18:08,110
+اللي وين؟ من سالب واحد إلى واحد as an open
+
+160
+00:18:08,110 --> 00:18:19,070
+interval لكن ال rangeلتانش inverse x من سالب
+
+161
+00:18:19,070 --> 00:18:23,670
+infinity لانفينيتي يعني كل real line بالاستثناء
+
+162
+00:18:23,670 --> 00:18:31,030
+.الان بدنا نيجي لكتانش inverse x هذا محور x هذا y
+
+163
+00:18:31,030 --> 00:18:36,390
+وهذا zالمرة الأخرى رسمنا التانش والكوتانش على نفس
+
+164
+00:18:36,390 --> 00:18:40,730
+الرسمة وكان مافيش تداخل فيه ما بينهم من سلب واحد
+
+165
+00:18:40,730 --> 00:18:44,770
+إلى واحد للتانش بعد الواحد وقبل السلب واحد لمين
+
+166
+00:18:44,770 --> 00:18:50,590
+للكوتانش وهنا نفس الطريقة لو جيت قلت هذا الخط اللي
+
+167
+00:18:50,590 --> 00:18:54,950
+هو x يسوى واحدوهذا الخط التاني ال X اللي هو تساوي
+
+168
+00:18:54,950 --> 00:19:00,610
+جديد سالب واحد إذا كتانش مش هيدخل المنطقة ما بين
+
+169
+00:19:00,610 --> 00:19:06,010
+سالب واحد وواحد وإنما يخلقها لمين لتانش inverse
+
+170
+00:19:06,010 --> 00:19:10,990
+يفه لو روحت رسمتها هتاخد الشكل التالي ومن هنا
+
+171
+00:19:10,990 --> 00:19:16,310
+هتاخد الشكل هذا اللي عندناتمام؟ يبقى هذه هي ال
+
+172
+00:19:16,310 --> 00:19:21,310
+quotient inverse x وهذه كمان هي ال quotient
+
+173
+00:19:21,310 --> 00:19:27,890
+inverse x يبقى ال domain تبعها من عند واحد لما لا
+
+174
+00:19:27,890 --> 00:19:33,170
+نهاية ومن سالب واحد لسالب ما لا نهاية
+
+175
+00:19:36,360 --> 00:19:43,420
+للكتانج inverse x بده يساوي من سالب infinity لغاية
+
+176
+00:19:43,420 --> 00:19:49,480
+سالب واحد as an open interval اتحاد واحد و
+
+177
+00:19:49,480 --> 00:19:50,600
+infinity
+
+178
+00:19:54,560 --> 00:20:00,940
+الـ Range لكو تانش inverse X كل الـ real line ما
+
+179
+00:20:00,940 --> 00:20:07,820
+عدا الـ zero يعني كأنه من سلب infinity لغاية الـ
+
+180
+00:20:07,820 --> 00:20:15,660
+zero اتحاد zero و infinity طب نيجي للرسمة الرابعة
+
+181
+00:20:15,660 --> 00:20:25,400
+شكل أن هذا هيكالخامسة هو الواحد
+
+182
+00:20:25,400 --> 00:20:31,380
+الصحيح يبقى لو رسمنا منحنى السش منحنى السش بيجيني
+
+183
+00:20:31,380 --> 00:20:39,790
+بالشكل اللي عندنا هذا هو السش ال Xلو جينا رسمنا
+
+184
+00:20:39,790 --> 00:20:44,410
+horizontal line في الفترة من عند الصفر لغاية
+
+185
+00:20:44,410 --> 00:20:52,350
+الواحد بلاقي الخط الأفق لأن هذا سيقطع المنحنى في
+
+186
+00:20:52,350 --> 00:21:00,270
+نقطتين إذا المنحنى هذا أو الدالة هذه ليست one to
+
+187
+00:21:00,270 --> 00:21:05,470
+oneلكن لو روحت عملت restriction على ال domain من
+
+188
+00:21:05,470 --> 00:21:10,150
+عندي ال zero لغاية infinity معناه هذا الكلام شيلت
+
+189
+00:21:10,150 --> 00:21:15,230
+هذه كلها لمنقطة مالهاش وجود يبقى اكتفيت من عندي ال
+
+190
+00:21:15,230 --> 00:21:20,650
+zero لغاية infinity و رسمت اي horizontal line ضمنت
+
+191
+00:21:20,650 --> 00:21:26,250
+في هذه الحالة ان المنحنى بدي يكون one toneالنقطة
+
+192
+00:21:26,250 --> 00:21:30,190
+اللي فوق هذه الإحداثية تبعها Zero هو واحد في
+
+193
+00:21:30,190 --> 00:21:35,590
+المعكوس ماذا سيحصل؟ واحد و Infinity يبقى لو جيترا
+
+194
+00:21:35,590 --> 00:21:40,170
+رسمتها ستجيك هكذا بالشكل اللي عندنا هذا يبقى الخط
+
+195
+00:21:40,170 --> 00:21:47,510
+الأزرق هذا هو Sich inverse X فبصير عندنا Domain
+
+196
+00:21:47,510 --> 00:21:56,280
+Sich inverse X يساوي من وين لوين؟ ال domainبنصف
+
+197
+00:21:56,280 --> 00:22:01,020
+الا واحد بس من عند ال zero open و من عند ال واحد
+
+198
+00:22:01,020 --> 00:22:09,560
+مغلقة closed طيب بدنا rangeلسيش inverse X واللي هو
+
+199
+00:22:09,560 --> 00:22:15,120
+بده يساوي من أولى و أولى من عن الـ Zero لغاية
+
+200
+00:22:15,120 --> 00:22:19,820
+Infinity من عند الـ Z closed أقل قيمة بياخدها Zero
+
+201
+00:22:19,820 --> 00:22:24,880
+عند X ساوي قداش واحد طيب نجرى الرسمة الأخيرة اللي
+
+202
+00:22:24,880 --> 00:22:31,420
+هي رقم ستة هذا محور X هذا محور Y هذا نقطة الأصل
+
+203
+00:22:31,420 --> 00:22:37,740
+اللي هي Zeroالمرة اللى فاتت رسمنا y تساوي كسش ال x
+
+204
+00:22:37,740 --> 00:22:44,260
+فكانت قوسين على شكل الدالة y تساوي واحد على x لو
+
+205
+00:22:44,260 --> 00:22:49,660
+جيت رسمت الخط y تساوي x وقلبتها بطمع شكل يشبه مين
+
+206
+00:22:49,660 --> 00:22:55,620
+الاصلي يبقى بديجيك هده وهده بديجيك بالشكل اللى
+
+207
+00:22:55,620 --> 00:23:03,450
+عندنا هذا يبقى هده رسمة كسش inverse xالان اطلع ال
+
+208
+00:23:03,450 --> 00:23:10,470
+domain يساوي ال range يساوي كل ال real line ما عدا
+
+209
+00:23:10,470 --> 00:23:19,110
+is zero يبقى domainالكوسيش inverse x بده يساوي ال
+
+210
+00:23:19,110 --> 00:23:25,930
+range بتابع الكوسيش inverse x بده يساوي كل الار
+
+211
+00:23:25,930 --> 00:23:30,630
+بده اشيل منها مين بس ال zero او من سلب infinity
+
+212
+00:23:30,630 --> 00:23:35,830
+الى zero اتحاد zero و infinity يبقى هاي الرسومات
+
+213
+00:23:35,830 --> 00:23:43,110
+الستة زي ما انت شايف ليه معكوس الدوال المثلثيةفي
+
+214
+00:23:43,110 --> 00:23:49,490
+أن الآن بعض القواعد تخص معكوس الدوال الزائدية على
+
+215
+00:23:49,490 --> 00:23:59,190
+الشكل التالي يبقى بالدراجة some rules بعض القواعد
+
+216
+00:23:59,190 --> 00:24:04,150
+about inverse
+
+217
+00:24:04,150 --> 00:24:06,930
+hyperbolic functions
+
+218
+00:24:15,320 --> 00:24:19,460
+نمرة واحد Sesh
+
+219
+00:24:19,460 --> 00:24:29,400
+inverse X يساوي Gosh inverse واحد على X نمرة اتنين
+
+220
+00:24:32,880 --> 00:24:40,780
+كسيش inverse X يساوي سينش inverse واحد على X نمرة
+
+221
+00:24:40,780 --> 00:24:51,500
+تلاتة كتانش inverse X يساوي تانش inverse واحد على
+
+222
+00:24:51,500 --> 00:24:54,580
+X نقرأ
+
+223
+00:24:57,400 --> 00:25:01,920
+البرهين سهل جدا بنبرهن أي واحدة فيهم و الباقي كله
+
+224
+00:25:01,920 --> 00:25:07,640
+بنفس الطريقة فمثلا لو قلنا افترض ان ال Y بدنا
+
+225
+00:25:07,640 --> 00:25:11,060
+نبرهن نمرة A او النقطة اللي هي نمرة واحدة
+
+226
+00:25:18,870 --> 00:25:24,790
+بنجيب الجملة المكافئة لهذه الجملة فبروح نأثر على
+
+227
+00:25:24,790 --> 00:25:32,170
+الطرفين بمن؟ ب Sesh بصير عندي سش ال Y يساوي كده؟
+
+228
+00:25:32,170 --> 00:25:40,710
+يساوي X سش مقلب من؟نقلب القوش يبقى هذا معناته واحد
+
+229
+00:25:40,710 --> 00:25:47,630
+على قوش ال Y بده يسوي من X بدنا نشكله يبقى هذه
+
+230
+00:25:47,630 --> 00:25:54,450
+بيصير قوش ال Y يسوي قداش واحد على X بدنا نجيب
+
+231
+00:25:54,450 --> 00:25:59,810
+العبارة المكافئة لهذه العبارةيبقى نأثر على الطرفين
+
+232
+00:25:59,810 --> 00:26:06,710
+بمين؟ جوش inverse يبقى بصير أن y يساوي جوش inverse
+
+233
+00:26:06,710 --> 00:26:14,710
+واحد على x، مين هي y؟ ليه سيش inverse x؟ يبقى هذا
+
+234
+00:26:14,710 --> 00:26:22,190
+معناته أن سيش inverse x يساوي جوش inverse واحد على
+
+235
+00:26:22,190 --> 00:26:29,440
+x وهو المطلوب، الشكل يعني هذاباخد مثال صغير
+
+236
+00:26:29,440 --> 00:26:43,540
+example find the exact value بدنا القيمة الحقيقية
+
+237
+00:26:43,540 --> 00:26:54,820
+of سيش لميم سيش لجوش inverse أربع على تلاتة
+
+238
+00:27:03,690 --> 00:27:09,630
+يبقى ال solution يبقى
+
+239
+00:27:09,630 --> 00:27:14,570
+يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى
+
+240
+00:27:14,570 --> 00:27:15,050
+يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى
+
+241
+00:27:15,050 --> 00:27:15,190
+يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى
+
+242
+00:27:15,190 --> 00:27:16,070
+يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى
+
+243
+00:27:16,070 --> 00:27:16,590
+يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى يبقى
+
+244
+00:27:16,590 --> 00:27:25,430
+يبقى يبقى يبقى يببقدرش هنا ههه اقول ان هذا ال ..
+
+245
+00:27:25,430 --> 00:27:29,770
+هذي اه سش و جوش universe ولا قادر ارسم مثلث ولا
+
+246
+00:27:29,770 --> 00:27:33,710
+قادر .. مالعيش علاقة بالمثلثات هذه لكن احنا عندنا
+
+247
+00:27:33,710 --> 00:27:41,470
+هنا ههه اول نقطة باجي بقول هذي تساوي سشلما يكون
+
+248
+00:27:41,470 --> 00:27:47,110
+جوش انفرس أربعة على تلاتة يبقى هو السش مقلوبة يبقى
+
+249
+00:27:47,110 --> 00:27:52,190
+ببنى نكتب السش انفرس ونقلبها يبقى هاي السش انفرس
+
+250
+00:27:52,190 --> 00:27:57,970
+ومقلوبها له جداش له تلاتة على أربعة الآن هذا
+
+251
+00:27:57,970 --> 00:28:02,340
+الكلام يستخدمالدمين الـ Sich inverse اللي مسحناه
+
+252
+00:28:02,340 --> 00:28:07,140
+قبل قلي من واحد لواحد من صفر لواحد تلت اربع موجودة
+
+253
+00:28:07,140 --> 00:28:11,160
+في الدمين لأنها جالب من الواحد الصحية موجودة في
+
+254
+00:28:11,160 --> 00:28:15,440
+الدمين من صفر لواحد اذا هذه ده اللي هتنغي التانية
+
+255
+00:28:15,440 --> 00:28:22,980
+والنتيجة جديش تلت اربع ليش because اللي هو تلت
+
+256
+00:28:22,980 --> 00:28:30,140
+اربعموجودة في الفترة من عند الـ zero لغاية الواحد
+
+257
+00:28:30,140 --> 00:28:34,940
+طب
+
+258
+00:28:34,940 --> 00:28:40,720
+نيجي لل derivatives of
+
+259
+00:28:40,720 --> 00:28:48,020
+inverse hyperbolic functions inverse hyperbolic
+
+260
+00:28:48,020 --> 00:28:50,520
+functions
+
+261
+00:28:51,420 --> 00:29:01,200
+مشتقت معكوس الدوال المثلثية if U is a
+
+262
+00:29:01,200 --> 00:29:10,620
+differentiable function of X then نقطة D على DX
+
+263
+00:29:10,620 --> 00:29:18,980
+لسنش inverse Uخلّي بالك معناه هنا يبقى واحد على
+
+264
+00:29:18,980 --> 00:29:24,860
+الجدر التربية اللي واحد زائد U تربية في ال DU على
+
+265
+00:29:24,860 --> 00:29:32,830
+DXلو رجعنا لمشتقة sign inverse فكانت واحد ناقص U
+
+266
+00:29:32,830 --> 00:29:38,270
+تربية هذا و واحد زائب U تربية في ال DU على DX
+
+267
+00:29:38,270 --> 00:29:42,410
+وماعنديش قيود على ال U لإن الsinش inverse معرفة
+
+268
+00:29:42,410 --> 00:29:46,110
+لمين لكل real line بلا استثناء
+
+269
+00:29:52,060 --> 00:29:59,040
+يبقى 1 على الجذر التربيعي ل U تربيع ناقص واحد في
+
+270
+00:29:59,040 --> 00:30:07,660
+DU على DX و بشرط ان ال U هذه مالها اكبر من الواحد
+
+271
+00:30:07,660 --> 00:30:11,890
+الصحيحلما عملنا domain الـ Gauss inverse صلى من
+
+272
+00:30:11,890 --> 00:30:16,370
+واحد لوين؟ للماء لنهاية، لكن الـU هذه اللي عند
+
+273
+00:30:16,370 --> 00:30:21,050
+الواحد ماهيواش معرفة، إذا استبعدنا المساواة هنا
+
+274
+00:30:22,280 --> 00:30:31,760
+نعمل تلاتة بدنا D على DX لتانش inverse U يبقى واحد
+
+275
+00:30:31,760 --> 00:30:40,440
+على واحد نقص U تربيع في DU على DX اربع D على DX
+
+276
+00:30:40,440 --> 00:30:48,440
+لكو تانش inverse U واحد على واحد نقص U تربيع في DU
+
+277
+00:30:48,440 --> 00:30:55,390
+على DXيعني مشتقة التانش انفرس هي مشتقة الكوتانش
+
+278
+00:30:55,390 --> 00:31:01,310
+انفرس؟ شكلا نعم لكن حقيقة لا، كيف الشكل هيبقى
+
+279
+00:31:01,310 --> 00:31:05,090
+الأثناء زي بعض، لكن بدنا domain كل واحدة فيهم
+
+280
+00:31:05,090 --> 00:31:12,210
+فبروح بقول و بالشرالـ Absolute Value ليه أقل من
+
+281
+00:31:12,210 --> 00:31:15,770
+واحد لأن ال domain تبعها tension versus ما رسمته
+
+282
+00:31:15,770 --> 00:31:20,710
+محصول بين سلب واحد و واحد وهذه ال domain تبعها
+
+283
+00:31:20,710 --> 00:31:25,560
+greater than oneبعد الواحد و جاب المين؟ و جاب
+
+284
+00:31:25,560 --> 00:31:32,700
+للسالب واحد و من هنا جاء الفرق بينهما خمسة بدنا D
+
+285
+00:31:32,700 --> 00:31:43,200
+على DX لمين؟ لسش Inverse Uيبقى واحد على U الجذر
+
+286
+00:31:43,200 --> 00:31:51,180
+التربيعي لواحد ناقص U تربيع في DU على DX والـ U
+
+287
+00:31:51,180 --> 00:31:57,240
+هذه أكبر من الـ Zero وأقل من الواحد الـ Sich
+
+288
+00:31:57,240 --> 00:32:02,380
+inverse الدمية تبعها ما بين Zero وما بين الواحد
+
+289
+00:32:02,380 --> 00:32:12,180
+الآن وبإشارة سالب يا بركالان ستة بدنا D على DX لا
+
+290
+00:32:12,180 --> 00:32:19,200
+قصش inverse U برضه سالب واحد على absolute value ل
+
+291
+00:32:19,200 --> 00:32:25,560
+U الجدرى التربية واحد زائد U تربية في DU على DX
+
+292
+00:32:25,560 --> 00:32:33,920
+وبشرط ان ال U لا تساوي Zero طب من هذه بدنا نروح
+
+293
+00:32:33,920 --> 00:32:40,210
+نجيب ستة كاملاتزي ما هذا ست مشتقات بدنا نجيب ست
+
+294
+00:32:40,210 --> 00:32:44,050
+تكاملات مش زي ال inverse trigonometric functions،
+
+295
+00:32:44,050 --> 00:32:47,750
+هذه جيبنا تلت تكاملات والتلت التانية زيهم بشيارة
+
+296
+00:32:47,750 --> 00:32:53,830
+سالف، هذه بتختلف، يبقى لو جيت للتكامل الأولبدنا
+
+297
+00:32:53,830 --> 00:32:59,750
+integration لواحد على الجدري التربية إلى a تربية
+
+298
+00:32:59,750 --> 00:33:08,690
+زائد x تربية dx يبقى هذا كله بمين بsin inverse x
+
+299
+00:33:08,690 --> 00:33:14,030
+على a زائد constant c هذه بالضبط بس بدل الواحد
+
+300
+00:33:14,300 --> 00:33:19,720
+أجتني نفس البرهان تبع sign inverse a يعني بدنا نحط
+
+301
+00:33:19,720 --> 00:33:25,080
+ال U أو بدنا نحط ال X لساوي AT دورة اوتوماتيكا
+
+302
+00:33:25,080 --> 00:33:31,500
+بتطلع معاك هذه و ال A بتروحنمر اتنين بنتكامل واحد
+
+303
+00:33:31,500 --> 00:33:38,320
+على الجدر التربية الى X تربية نقص A تربية DX يبقى
+
+304
+00:33:38,320 --> 00:33:44,740
+هذه Gauss inverse كمان X على A زائد constant C
+
+305
+00:33:44,740 --> 00:33:52,260
+تلاتة integration لواحد على واحد او على A تربية
+
+306
+00:33:52,260 --> 00:33:59,140
+نقص X تربية في DXطلّعله هنا كويس، الاشتقاق تبع
+
+307
+00:33:59,140 --> 00:34:02,960
+الاتنين بيعطيني نفس النتيجة، إذا أنا عندي تكامل
+
+308
+00:34:06,770 --> 00:34:15,270
+يبدأ الإجابة بدأ تكون إجابتين الإجابة الأولى 1 على
+
+309
+00:34:15,270 --> 00:34:23,110
+a فتانش inverse x على a زائد constant c هنا 1 على
+
+310
+00:34:23,110 --> 00:34:30,770
+a كتانش inverse x على a زائد constant c طب كيف بدي
+
+311
+00:34:30,770 --> 00:34:37,690
+أميز بينهمابنرجع بنقول هذا بالشرط ان ال absolute
+
+312
+00:34:37,690 --> 00:34:44,510
+value ل X أقل من A و هذا بالشرط ان ال absolute
+
+313
+00:34:44,510 --> 00:34:49,650
+value ل X مالها أكبر من A وبالتالي تقيد ده ب
+
+314
+00:34:49,650 --> 00:34:54,850
+domain كل واحدة منهم طب لو وجاني سؤال في الامتحان
+
+315
+00:34:54,850 --> 00:34:59,290
+وجاني زي هي كده او صرت معاه مثل بهذا شكل اكتب تنش
+
+316
+00:34:59,290 --> 00:35:00,190
+و الله اكتب تنش
+
+317
+00:35:10,360 --> 00:35:17,800
+إذا كان التكامل تكاملا محدودا يبقى أنا بتقيت بحدود
+
+318
+00:35:17,800 --> 00:35:22,310
+التكامليابا حطله التنش، يالكه تنش، حسب حدود
+
+319
+00:35:22,310 --> 00:35:27,150
+التكامل اللي موجودة عندنا كما سنعطيك مثال بعد قليل
+
+320
+00:35:27,150 --> 00:35:34,730
+ان شاء الله تعالى.طيب التكامل الرابعبنتكامل ل 1
+
+321
+00:35:34,730 --> 00:35:42,250
+على x الجدري التربيعي ل a تربيع ناقص x تربيع دي x
+
+322
+00:35:42,250 --> 00:35:48,570
+يبقى هنا الكلام دي يساوي سالب 1 على a ل sich
+
+323
+00:35:48,570 --> 00:35:58,550
+inverse x على a زائد constant c وبشرط
+
+324
+00:35:58,550 --> 00:36:03,450
+ان ال zero أقل من xأقل من مين؟
+
+325
+00:36:06,370 --> 00:36:33,470
+نمر الخامسة بدنا تكامل واحد على اكس
+
+326
+00:36:39,960 --> 00:36:44,540
+لا حد ينصب انتهى الجزء النظري تبع ال section كله
+
+327
+00:36:44,540 --> 00:36:51,320
+لم يبق إلا مجموعة من الأمثلة على التفاضلات
+
+328
+00:36:51,320 --> 00:36:58,540
+والتكاملات وما يتعلق بمين بمعكوس الدوال الزائدي
+
+329
+00:36:58,540 --> 00:37:06,040
+يبقى
+
+330
+00:37:06,040 --> 00:37:14,090
+examplesبناخد example one أول
+
+331
+00:37:14,090 --> 00:37:20,010
+مثال solve for
+
+332
+00:37:20,010 --> 00:37:27,870
+x حل بالنسبة إلى x المعادلة E أس جوش inverse
+
+333
+00:37:27,870 --> 00:37:39,670
+لإتنين xزائد D على DX لماين لكو صين انفرس لصين ال
+
+334
+00:37:39,670 --> 00:37:46,650
+X الشكل اللي عندنا هذا كله يساوي Zero و Zero أقل
+
+335
+00:37:46,650 --> 00:37:54,690
+من أو يساوي X أقل من أو يساوي ال واحد هذا السؤال
+
+336
+00:37:54,690 --> 00:38:00,470
+يا شباب جئنا به في إحدى الامتحانات السابقةوالان
+
+337
+00:38:00,470 --> 00:38:06,950
+جايب ان اقولك مثال مشان تعرف كيف بنفكر في ربط عدة
+
+338
+00:38:06,950 --> 00:38:14,870
+مواضيع مع بعضها بسؤال واحد السؤال مرة تانيةبقول
+
+339
+00:38:14,870 --> 00:38:18,590
+Solve for X يعني حل بالنسبة لـ X يعني هات للقيمة
+
+340
+00:38:18,590 --> 00:38:24,050
+العددية لمن؟ لـ X علمًا بأن X محصورة بين صفر و
+
+341
+00:38:24,050 --> 00:38:27,490
+واحد لو الـ X كله اتبرأ أثناء الحل معاه و تحل
+
+342
+00:38:27,490 --> 00:38:32,430
+أكمله، مش مظبوط يبقى X محصورة بين الصفر و الواحد
+
+343
+00:38:32,430 --> 00:38:37,870
+أكبر من الصفر أو تساوي وأقل من واحد أو تساوي باجي
+
+344
+00:38:37,870 --> 00:38:43,830
+بتطلع هذا exponentialمش تقى يبقى انا بدى اشتق هذه
+
+345
+00:38:43,830 --> 00:38:48,530
+ومشان اطلع اشوف ايه الشكل الناتج في ما بقى اذا
+
+346
+00:38:48,530 --> 00:38:55,910
+باجي بقوله solution المثل اللي عندك E أس غوش انفرس
+
+347
+00:38:55,910 --> 00:39:01,180
+اتنين X الشكل اللي عندناهذه مشتقة الـ cosine
+
+348
+00:39:01,180 --> 00:39:08,300
+inverse بسالب واحد على مين؟ على الجذري التربيعي
+
+349
+00:39:08,300 --> 00:39:15,160
+لواحد ناقص sine تربيع ال X في مشتقة الـ sine اللي
+
+350
+00:39:15,160 --> 00:39:19,580
+هو cosine X كله بيديه سوى قداشر بيديه سوى Zero
+
+351
+00:39:19,580 --> 00:39:28,370
+صارت المسألة E أس غوش inverse 2X ناقصواحد ناقص صين
+
+352
+00:39:28,370 --> 00:39:34,410
+تربيع X كوصين تربيع X تطلع من تحت الجدر absolute
+
+353
+00:39:34,410 --> 00:39:39,590
+من ال X لكن X محسوبة بين صفر و واحد يبقى كوصين
+
+354
+00:39:39,590 --> 00:39:45,190
+موجة يبقى بصيرة عندك كوصين ال X و اللي تحت كله
+
+355
+00:39:45,190 --> 00:39:51,890
+كوصين ال X يساوي Zero إذا صار E أس غوش inverse
+
+356
+00:39:51,890 --> 00:40:00,000
+للإتنين X ناقص واحد يساوي مانبيساوي 0 او E أس غوش
+
+357
+00:40:00,000 --> 00:40:09,140
+انفرس غوش انفرس اتنين X اتنين X بدي ساوي قداش واحد
+
+358
+00:40:09,140 --> 00:40:14,200
+احنا بدنا ال X يبقى اول خطوة بنتخلص منين من ال
+
+359
+00:40:14,200 --> 00:40:19,440
+exponential يبقى ناخد لان للطرفين يبقى هذا بده
+
+360
+00:40:19,440 --> 00:40:26,860
+يعطيلك ان غوش انفرسأتنين اكس بده يساوي لن الواحد
+
+361
+00:40:26,860 --> 00:40:32,920
+لأن الواحد في جداش اذا جوش inverse اتنين اكس بده
+
+362
+00:40:32,920 --> 00:40:38,020
+يساوي جداش بده يساوي zero انا مابديش شكل حتى جوش
+
+363
+00:40:38,020 --> 00:40:43,400
+inverse يبقى بأثر على الطرفين بمين؟ بجوشيبقى هذا
+
+364
+00:40:43,400 --> 00:40:51,940
+بدي يعطيك جوش لمن؟ لجوش inverse ل 2x بدي ساوي جوش
+
+365
+00:40:51,940 --> 00:40:52,620
+ال zero
+
+366
+00:41:02,560 --> 00:41:11,640
+يبقى 1 ومنها x يساوي نص الموجودة في الفترة المغلقة
+
+367
+00:41:25,110 --> 00:41:32,010
+مع مشتقة الدول المثلثية كله بسؤال واحد المثال
+
+368
+00:41:32,010 --> 00:41:41,790
+الثاني نمر اتنين find y prime for each of the
+
+369
+00:41:41,790 --> 00:41:48,870
+following النقطة
+
+370
+00:41:48,870 --> 00:41:49,390
+الأولى
+
+371
+00:42:00,660 --> 00:42:06,730
+نشتغل الدالة هذهواضح ان هذا جزء وهذا جزء تاني يعني
+
+372
+00:42:06,730 --> 00:42:10,730
+هذه function وهذه function تانية اذا هذه مشتقة
+
+373
+00:42:10,730 --> 00:42:17,010
+main حصل ضرب دالتين يبقى بدنا ال y prime يساوي
+
+374
+00:42:17,010 --> 00:42:21,770
+الدالة الأولى مشتقة الدالة التانية مشتقة tan
+
+375
+00:42:21,770 --> 00:42:27,470
+inverse x اللي هي واحد على واحد ناقص x تربية هي
+
+376
+00:42:27,470 --> 00:42:31,090
+الأولى في مشتقة التانية زائد tan
+
+377
+00:42:37,590 --> 00:42:46,690
+Y' يساوي 1 ناقص X في
+
+378
+00:42:46,690 --> 00:42:55,870
+1 زائد Xنقص تانش inverse X نختصر هذا مع هذا يبقى
+
+379
+00:42:55,870 --> 00:43:02,730
+النتيجة النهائية واحد على واحد زائد X ناقص تانش
+
+380
+00:43:02,730 --> 00:43:09,250
+inverse X واحد
+
+381
+00:43:09,250 --> 00:43:15,230
+على واحد زائد X وهذه ناقص لكي نفهم ان شرط ناقص برا
+
+382
+00:43:15,230 --> 00:43:24,730
+يبقى ناقص تانش inverse Xنقطة ثانية Y تساوي Gersh
+
+383
+00:43:24,730 --> 00:43:33,310
+inverse لمين؟ لإتنين الجذر التربيعي ل X زائد واحد
+
+384
+00:43:35,100 --> 00:43:43,000
+يبقى Y' يساوي تفاضل الجوش inverse واحد على الجذر
+
+385
+00:43:43,000 --> 00:43:50,520
+التربيعي لمربع المقدار هذا له أربعة في X زائد واحد
+
+386
+00:43:51,280 --> 00:43:57,980
+الربع بطير الجدر و عندك هنا ناقص واحد في مشتقة
+
+387
+00:43:57,980 --> 00:44:03,420
+الزاوية اتنين مالكش دعوة والجدر واحد على اتنين
+
+388
+00:44:03,420 --> 00:44:08,820
+الجدري التربيعي ل X زاد واحد في مشتقة ما تحت الجدر
+
+389
+00:44:09,000 --> 00:44:14,320
+بواحد صحيح يبقى هذا النتيجة يساوي لاتنين هذه مع
+
+390
+00:44:14,320 --> 00:44:18,940
+اتنين الله يسهل عليها يبقى البصد كله بواحد صحيح
+
+391
+00:44:18,940 --> 00:44:26,240
+هذه اربعة اكس زائد تلاتة طبعا اربعة اكس زائد اربعة
+
+392
+00:44:26,240 --> 00:44:30,960
+ناقص واحد يبقى اربعة اكس زائد تلاتة وهذا يبقى
+
+393
+00:44:30,960 --> 00:44:40,020
+الجدر التربيعي لاكس زائد واحد النقطة التالتةهذا
+
+394
+00:44:40,020 --> 00:44:45,620
+صحيح وهذا تحت الجدر مظبوط وهذا تحت الجدر طيب
+
+395
+00:44:45,620 --> 00:44:55,500
+السؤال التالت بيقول لي Y تساوي جوش ال X في Tan
+
+396
+00:44:55,500 --> 00:45:02,140
+لمن؟ Tan لسنش inverse X
+
+397
+00:45:05,840 --> 00:45:11,400
+يبقى بدنا الواقع قرار، you say هذه تعتبر دالة و
+
+398
+00:45:11,400 --> 00:45:18,870
+هذه دالة تانيةيبقى جوش ال X زي ما هو في مستقبل
+
+399
+00:45:18,870 --> 00:45:27,570
+التانية تفاضل التان بسك تربيع لمن؟ لسنش inverse X
+
+400
+00:45:27,570 --> 00:45:32,830
+خلصنا؟ لا لسه بيبقى تضغط في مستقبل السنش inverse
+
+401
+00:45:32,830 --> 00:45:40,030
+اللي هو جداش واحد على الجدري التربيعي لوحدزائد X
+
+402
+00:45:40,030 --> 00:45:45,990
+تربية هي أخدنا الأولى في مشتقة التانية زائد الدالة
+
+403
+00:45:45,990 --> 00:45:53,250
+التانية اللي هي Tan ل Sin inverse X في مشتقة الجوش
+
+404
+00:45:53,250 --> 00:46:00,170
+اللي هو ب Sin X السؤال الرابع أو النقطة الرابعة
+
+405
+00:46:23,540 --> 00:46:32,230
+سؤال مرة تانيةمشتقت كوتانش انفرس لكوتان E أُس X
+
+406
+00:46:32,230 --> 00:46:37,690
+يعني اللي برا دالة زادية و اللي جوا دالة مصلفية
+
+407
+00:46:37,690 --> 00:46:41,490
+والتانية كوتانش انفرس لل X exponential function
+
+408
+00:46:41,490 --> 00:46:51,710
+اتنين أُس Xتساوي تفاضل كتانش inverse واحد على واحد
+
+409
+00:46:51,710 --> 00:47:01,430
+ناقص كتان تربيع E أُس X تفاضل كتانش inverse X واحد
+
+410
+00:47:01,430 --> 00:47:08,140
+على واحد ناقص X تربيعيبقى واحد ناقص كتان تربية EO6
+
+411
+00:47:08,140 --> 00:47:17,320
+في مشتقة مين الكتان؟ مشتقة الكتان بسالب كسكن تربية
+
+412
+00:47:17,320 --> 00:47:24,480
+EO6 في مشتقة الزاوية مين؟ بEO6 بالشكل اللي عندنا
+
+413
+00:47:25,920 --> 00:47:31,740
+يبقى هذا انتهينا من مين؟ من اشتقاق الجزء الأول لسه
+
+414
+00:47:31,740 --> 00:47:37,780
+الآن زائد كسش inverse اللي هو مين؟ سالب واحد على
+
+415
+00:47:37,780 --> 00:47:44,760
+absolute value للإتنين X الإتنين دائما نقل نقص X
+
+416
+00:47:44,760 --> 00:47:48,320
+أكبر من ال zero يبقى كتبت ال absolute و الله ما
+
+417
+00:47:48,320 --> 00:47:55,000
+كتبته سيانفى مين؟ فى الجذر التربية يلا واحد زائد
+
+418
+00:47:55,000 --> 00:48:00,640
+اتنين اص اكس لكل تربية فى مشتقة اتنين اكس اللى
+
+419
+00:48:00,640 --> 00:48:05,600
+اتنين اص اكس فى مين؟ فى الان اتنين يبقى اتنين اص
+
+420
+00:48:05,600 --> 00:48:13,390
+اكس مع اتنين اص اكسالان هذا الكلام بده يساوي اللي
+
+421
+00:48:13,390 --> 00:48:21,270
+هو من EOSX بالسالب طبعا هي سالب وهي يساوي في من في
+
+422
+00:48:21,270 --> 00:48:29,710
+cosecant تربيع EOSXعلى واحد ناقص كتان تربيع يوسكس
+
+423
+00:48:29,710 --> 00:48:36,510
+ناقص لان اتنين على الجدر التربيعي لواحد زائدي
+
+424
+00:48:36,510 --> 00:48:42,890
+اتنين أس اتنين X هذا النقطة الرابعة بدنا نروح
+
+425
+00:48:42,890 --> 00:48:53,260
+للنقطة الخامسة اليمين Y تساوي Y تساويالجذري
+
+426
+00:48:53,260 --> 00:49:04,980
+التربيعي لسش inverse X زائد E أستانش inverse لمن
+
+427
+00:49:04,980 --> 00:49:11,200
+لاتنين X بدنا ال Y' تساوي
+
+428
+00:49:15,960 --> 00:49:24,300
+يبقى تفاضل الجذر 1 على 2 الجذر ضرب
+
+429
+00:49:24,300 --> 00:49:30,880
+مشتقة ما تحت الجذر مشتقة الـ Sich inverse سالب 1
+
+430
+00:49:30,880 --> 00:49:38,200
+على x الجذر التربية إلى 1 ناقص x تربيةيبقى مشتقة
+
+431
+00:49:38,200 --> 00:49:43,040
+الجدر واحد على اتنين الجدر في مشتقة ما تحت الجدر
+
+432
+00:49:43,040 --> 00:49:48,140
+السالب واحد على اكس الجدر التربيعي لواحد ناقص X
+
+433
+00:49:48,140 --> 00:49:48,780
+تربيع
+
+434
+00:49:55,230 --> 00:50:00,270
+فى مشتقة الـ Os مشتقة التانش inverse اللى هو واحد
+
+435
+00:50:00,270 --> 00:50:07,430
+على واحد ناقص اتنين X لكل تربيع فى مشتقة الزاوية
+
+436
+00:50:07,430 --> 00:50:12,950
+اللى هو بقداش باتنين اختصارات مافيش خلّيها زى ما
+
+437
+00:50:12,950 --> 00:50:18,470
+هي واتوكر على الله وصلنا لآخر مثال اللى هو مثال
+
+438
+00:50:18,470 --> 00:50:24,490
+التكاملات نؤجله للمرة القادمة ان شاء الله تعالى
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/95a_Lk9dfUg.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/95a_Lk9dfUg.srt
new file mode 100644
index 0000000000000000000000000000000000000000..17ec7cd71fb06587361d8a9a4dd67a3362eec3e3
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/95a_Lk9dfUg.srt
@@ -0,0 +1,1891 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,430 --> 00:00:15,750
+بسم الله الرحمن الرحيم نكمل ما ابتدأنا به في المرة 
+
+3
+00:00:15,750 --> 00:00:20,950
+الماضية المرة الماضية بدأنا بالinfinite series
+
+4
+00:00:20,950 --> 00:00:27,630
+وأخذنا فيها الgeometric series ثم بعد ذلك انتقلنا 
+
+5
+00:00:27,630 --> 00:00:32,650
+إلى اختبار الحد النوني في الgeometric series قلنا
+
+6
+00:00:32,650 --> 00:00:37,510
+الseries هذه ممكن تكون converge فقط إذا كان ال
+
+7
+00:00:37,510 --> 00:00:43,150
+absolute value للratio التابعة لها أقل من واحد صحيح
+
+8
+00:00:43,150 --> 00:00:48,350
+يعني إذا كانت محصورة بين واحد وسالب واحد وبتبقى 
+
+9
+00:00:48,350 --> 00:00:53,090
+diverge إذا absolute value للR أكبر من أو يساوي 
+
+10
+00:00:53,090 --> 00:00:59,750
+واحد صحيح ثم انتقلنا إلى أول اختبار من الاختبارات
+
+11
+00:00:59,750 --> 00:01:03,650
+الستة اللي من خلالهم بنبدأ نحكم على series هل هي
+
+12
+00:01:03,650 --> 00:01:09,650
+converge أو diverge وأخذنا أول اختبار المرة الماضية
+
+13
+00:01:09,650 --> 00:01:12,830
+اللي هو اختبار الحد النوني
+
+14
+00:01:19,510 --> 00:01:23,110
+بنجي على الحد النوني في الseries وبناخد له ال
+
+15
+00:01:23,110 --> 00:01:28,590
+limit، إذا والله كانت الlimit لا تساوي zero أو 
+
+16
+00:01:28,590 --> 00:01:32,890
+infinity على كل الأمرين، بنقول إن الseries هذه 
+
+17
+00:01:32,890 --> 00:01:38,700
+مالها، diverged فقط، لا غير. الاختبار الحد النوني
+
+18
+00:01:38,700 --> 00:01:42,980
+يقيس الdivergence للseries ولا يقيس ال
+
+19
+00:01:42,980 --> 00:01:46,960
+convergence إذا مشان يشوف الseries هذه هي
+
+20
+00:01:46,960 --> 00:01:51,340
+divergent ولا لا بروح باخد limit للحد النوني إذا 
+
+21
+00:01:51,340 --> 00:01:57,660
+الlimit كانت تساوي أي رقم ما عدا الصفر أو كانت ال
+
+22
+00:01:57,660 --> 00:01:58,980
+limit تساوي الinfinity
+
+23
+00:02:01,960 --> 00:02:07,040
+أخذنا على ذلك المرة الماضية مثالا واحدا وهذا هو
+
+24
+00:02:07,040 --> 00:02:12,640
+المثال رقم اثنين إذا بدنا نشوف هذي الseries هل هي
+
+25
+00:02:12,640 --> 00:02:17,140
+converge ولا diverge إذا بتروح تأخذ limit للحد
+
+26
+00:02:17,140 --> 00:02:24,060
+النوني لهذه الseries إذا بدي آخذ limitللـ A N
+
+27
+00:02:24,060 --> 00:02:29,260
+لما الN tends to infinity يبقى limit لما الN
+
+28
+00:02:29,260 --> 00:02:35,060
+tends to infinity لـ 2 to the power N زائد 4 to the 
+
+29
+00:02:35,060 --> 00:02:41,840
+power N على 3 to the power N زائد 4 to the power N
+
+30
+00:02:42,840 --> 00:02:47,340
+التعويض المباشر حيجيب للبسط بالإنفينيتي والمقام
+
+31
+00:02:47,340 --> 00:02:54,700
+بالإنفينيتي تمام؟ يبقى بناء عليه مهما نشتاق، لا
+
+32
+00:02:54,700 --> 00:02:59,380
+يمكن أن ينتهي البسط أو المقام، ولا واحد فيهم
+
+33
+00:02:59,380 --> 00:03:04,870
+بينتهي، إذن مش هنخلص من هالشغل هذه إذا ما نلجأ
+
+34
+00:03:04,870 --> 00:03:09,370
+للطريقة الثانية لحساب الlimits إذا كانت النتيجة
+
+35
+00:03:09,370 --> 00:03:13,750
+infinity على infinity وهي أن نقسم كل من البسط و
+
+36
+00:03:13,750 --> 00:03:17,990
+المقام على x المرفوعة لأكبر أس في المقام وفي
+
+37
+00:03:17,990 --> 00:03:23,150
+المقابل هنقسم كل من البسط والمقام على أكبر قيمة
+
+38
+00:03:23,150 --> 00:03:27,110
+موجودة في المقام. مين اللي أكبر؟ 4 أس N ولا 
+
+39
+00:03:27,110 --> 00:03:32,170
+3 أس N؟ 4 أس N إذا مدى نقسم كل من البسط
+
+40
+00:03:32,170 --> 00:03:38,150
+والمقام على 4 أس N إذا لو جينا جسمنا هتأخذ
+
+41
+00:03:38,150 --> 00:03:43,210
+الشكل التالي limit لما N تبدأ تروح لـ infinity
+
+42
+00:03:43,210 --> 00:03:50,100
+لـ 2 على 4 كله to the power N زائد 1 
+
+43
+00:03:50,100 --> 00:03:56,140
+على 3 على 4 كله to the power N زائد 1
+
+44
+00:03:57,750 --> 00:04:02,910
+الكل اللي بين قوسين هذا كسر أقل من الواحد الصحيح
+
+45
+00:04:02,910 --> 00:04:06,750
+يبقى الlimit إيه لما الN تبدأ تروح لماله ليه
+
+46
+00:04:06,750 --> 00:04:11,610
+يساوي zero من الجدول النقطة رقم 4 في الجدول ال
+
+47
+00:04:11,610 --> 00:04:16,310
+limits الستة يبقى هذا بيروح بـ zero وهذا بيلحق بـ
+
+48
+00:04:16,310 --> 00:04:22,590
+zero بيظهر الناتج كده والواحد ماله ليه يساوي zero
+
+49
+00:04:22,590 --> 00:04:27,110
+بروح بقوله by the end
+
+50
+00:04:54,090 --> 00:04:56,110
+وانتهينا من المثال
+
+51
+00:05:00,910 --> 00:05:07,330
+سؤال رقم 3 بيقول لي summation من N equal one
+
+52
+00:05:07,330 --> 00:05:14,770
+to infinity لل N plus one على الجذر التربيعي لـ 4
+
+53
+00:05:14,770 --> 00:05:18,130
+N تربيع زائد 3
+
+54
+00:05:21,600 --> 00:05:27,820
+بنروح ناخذ limit للـ a n لما الـ n tends to infinity
+
+55
+00:05:27,820 --> 00:05:33,540
+يساوي limit لما الـ n tends to infinity للـ n plus
+
+56
+00:05:33,540 --> 00:05:38,040
+one على الجذر التربيعي لـ 4 n تربيع زائد
+
+57
+00:05:38,040 --> 00:05:38,620
+3
+
+58
+00:05:41,140 --> 00:05:44,880
+طلعنا في المقدار اللي عندنا هنا التعويض المباشر
+
+59
+00:05:44,880 --> 00:05:50,280
+بيجيب لـ infinity على infinity يبقى يا إما لوبيتال rule يا إما الطريقة اللي تبعناها فوق وهي إنه نقسم
+
+60
+00:05:50,280 --> 00:05:54,540
+كل من الnumerator و المقام على n المرفوع لأكبر أس
+
+61
+00:05:54,540 --> 00:05:57,960
+في المقام. أكبر n مرفوعة للأس في المقام اللي هي جذر
+
+62
+00:05:57,960 --> 00:06:02,810
+n تربيع لكن n تربيع تحت الجذر يبقى هذي في الحقيقة
+
+63
+00:06:02,810 --> 00:06:08,450
+جذرها بيكون n يبقى بنقسم كل من الnumerator والمقام على n
+
+64
+00:06:14,290 --> 00:06:19,330
+يبقى بناء عليه هذا بدي يعطينا الlimit لما الـ n
+
+65
+00:06:19,330 --> 00:06:25,820
+tends to infinity للواحد زائد واحد على n على هذه
+
+66
+00:06:25,820 --> 00:06:30,480
+اللي بدك تسميها على n تدخل n تحت الجذر التربيعي
+
+67
+00:06:30,480 --> 00:06:35,060
+لما تدخل n تحت الجذر التربيعي بيصير الجذر
+
+68
+00:06:35,060 --> 00:06:42,110
+التربيعي لـ 4 زائد 3 على n تربيع لأن n لما
+
+69
+00:06:42,110 --> 00:06:46,490
+ندخله تحت الجذر بيصير n تربيع بيصير عندنا 4 n
+
+70
+00:06:46,490 --> 00:06:50,010
+تربيع على n تربيع اللي يبقى 4 3 على n
+
+71
+00:06:50,010 --> 00:06:55,410
+تربيع كما هي الآن الlimit هندخله لكل من الnumerator و
+
+72
+00:06:55,410 --> 00:07:00,570
+المقام لو دخلت على الnumerator فنهاية المقدار الثابت
+
+73
+00:07:00,570 --> 00:07:07,330
+بالمقدار الثابت نفسه وهذا بجد يروح لـ zero وهذا على
+
+74
+00:07:07,330 --> 00:07:13,850
+جذر الـ 4 اللي هو بقداش بـ 2 وهذا بـ zero يبقى 
+
+75
+00:07:13,850 --> 00:07:22,590
+الجواب يساوي نصف لا يساوي zero فبروح بقول هنا by the
+
+76
+00:07:22,590 --> 00:07:31,980
+interim test the series اللي هي مين؟ اللي هي
+
+77
+00:07:31,980 --> 00:07:37,560
+summation لل N plus one على الsquare root لل
+
+78
+00:07:37,560 --> 00:07:42,420
+4 N تربيع زائد 3 من N equal one to
+
+79
+00:07:42,420 --> 00:07:49,900
+infinity by their وانتهينا من المثال هذا السؤال
+
+80
+00:07:49,900 --> 00:07:58,490
+الرابع. عندنا summation من N equal one to infinity
+
+81
+00:07:58,490 --> 00:08:07,890
+لل N على N ناقص 1 كله to the power N يبدأ
+
+82
+00:08:07,890 --> 00:08:12,390
+بأننا نروح ناخذ limit لما الـ N tends to infinity
+
+83
+00:08:12,390 --> 00:08:20,390
+لل N على N ناقص 1 كله to the power N لو جينا
+
+84
+00:08:20,390 --> 00:08:26,570
+عوّضنا تعويضا مباشرا فصير infinity على infinity وكل
+
+85
+00:08:26,570 --> 00:08:33,210
+نقص infinity هذا الشيء أنا ما أعرفه لكن تقدر تكتب 
+
+86
+00:08:33,210 --> 00:08:39,230
+المسألة بشكل آخر لو جينا جسمنا أو كتبنا المسألة 
+
+87
+00:08:39,230 --> 00:08:45,650
+بشكل آخر بصير limit لما N بدها تروح إلى infinity
+
+88
+00:08:45,650 --> 00:08:47,590
+تمام؟ أيوة
+
+89
+00:08:50,500 --> 00:08:54,260
+ماشي ما نسيناش شيء صار infinity أس infinity على
+
+90
+00:08:54,260 --> 00:09:04,340
+infinity أس infinity لم نأتِ من نتيجة هذا
+
+91
+00:09:04,340 --> 00:09:09,440
+لما ناخذ ln للطرفين لكن هنا عندنا حل بدون واخذ ln
+
+92
+00:09:09,440 --> 00:09:12,500
+أنا بلجأ لل ln عندما تتعقد الأمور
+
+93
+00:09:16,400 --> 00:09:19,720
+من كل من الnumerator و المقام، الnumerator جاهز يبقى باخد N
+
+94
+00:09:19,720 --> 00:09:23,960
+عامل مشترك من المقام أو بيقسم كل من الnumerator و المقام
+
+95
+00:09:23,960 --> 00:09:31,060
+على N تمام؟ يعني كأنه بدأ حط الكسر في شكل جديد، 1
+
+96
+00:09:31,060 --> 00:09:37,180
+على N ناقص 1 على N نفس الكسر اللي فوق، مظبوط؟ إذًا
+
+97
+00:09:37,180 --> 00:09:45,900
+هذا بدي يساوي الlimit لـ 1 على N جسمنا عليه 1
+
+98
+00:09:45,900 --> 00:09:51,620
+ناقص 1 على N كله to the power N، الشكل اللي 
+
+99
+00:09:51,620 --> 00:09:57,930
+عندنا هذا يعني N مع N راحة بقي عندنا 1 على 1
+
+100
+00:09:57,930 --> 00:10:02,470
+ناقص 1 على N بالشكل اللي عندنا هذا فهذا الكلام
+
+101
+00:10:02,470 --> 00:10:08,790
+بدي يساوي 1 على قداش المقدار هذا من الجدول يبقى
+
+102
+00:10:08,790 --> 00:10:13,050
+هذا رقم 5 اللي هو قداش e والسالب 1 يبقى e
+
+103
+00:10:13,050 --> 00:10:18,370
+والسالب 1 اللي تساوي e لا تساوي zero يبقى حد
+
+104
+00:10:18,370 --> 00:10:22,050
+نهاية بالله هتمر شغلات عليك كثير بالشكل هذا وجبت لك
+
+105
+00:10:22,050 --> 00:10:25,230
+سؤال زيها في الsequences مثال اللي كان 3 e
+
+106
+00:10:25,230 --> 00:10:28,610
+زاد واحد على 3 e ناقص 1 كله to the power
+
+107
+00:10:28,610 --> 00:10:34,770
+نفس المفهوم مضبوط تمامًا يبقى باجي بقوله by the
+
+108
+00:10:34,770 --> 00:10:43,490
+infirm test the series summation
+
+109
+00:10:43,490 --> 00:10:46,390
+لمين n equal one
+
+110
+00:10:59,130 --> 00:11:09,450
+سؤال الخامس. سؤال الخامس بيقول لي summation من n
+
+111
+00:11:09,450 --> 00:11:16,480
+equal zero to infinity لل e to the power N على e
+
+112
+00:11:16,480 --> 00:11:23,100
+to the power N زائد ال m وبدنا نروح ناخذ الlimit
+
+113
+00:11:23,100 --> 00:11:29,880
+لما الـ n tends to infinity لل a n يبقى ده limit
+
+114
+00:11:29,880 --> 00:11:36,140
+لما الـ n tends to infinity لل e أس n على ال e أس n
+
+115
+00:11:36,140 --> 00:11:43,480
+زائد m لو جينا عوّضنا تعويضا مباشرا هيعطينا
+
+116
+00:11:43,480 --> 00:11:48,940
+infinity على infinity يبقى ممكن مشتقة البسط على
+
+117
+00:11:48,940 --> 00:11:54,280
+مشتقة المقام أو نجسم زي اللي قبل خلينا نجرب نشتق
+
+118
+00:11:54,280 --> 00:12:00,160
+يبقى أي limit لما ال n tends to infinity مشتقة ال e
+
+119
+00:12:00,160 --> 00:12:06,070
+بننزل بال e بننزل e في مشتقة اللي جنبها بقداش. لو
+
+120
+00:12:06,070 --> 00:12:11,110
+عوّضنا تعويضا مباشرا بيعطينا infinity على infinity
+
+121
+00:12:11,110 --> 00:12:16,770
+بنجيب الrule كمان مرة limit لما ال n tends to
+
+122
+00:12:16,770 --> 00:12:21,350
+infinity مشتقة الexponential كما هي ال
+
+123
+00:12:21,350 --> 00:12:27,270
+exponential كما هي مشتقة ال 1 بـ zero يبقى هنا
+
+124
+00:12:27,270 --> 00:12:33,450
+لو اختصرنا هذه مع هذه كده بيبقى ال 1 ماله ليه
+
+126
+00:12:33,450 --> 00:12:42,650
+يساوي zero بروح أقوله buy the infirm
+
+127
+00:12:42,650 --> 00:12:46,310
+test the series
+
+128
+00:12:49,210 --> 00:12:57,790
+اللي هي ال summation من N equal 0 to infinity لل E
+
+129
+00:12:57,790 --> 00:13:07,050
+N على U S N زائد N by virtue  في السؤال
+
+130
+00:13:07,050 --> 00:13:13,350
+السادس بسمع واحد بيقول فيش واحدة convergeيقول لك
+
+131
+00:13:13,350 --> 00:13:18,010
+يمكن لكن احنا ال N ثانوي يقيص التباعد ولا يقيص
+
+132
+00:13:18,010 --> 00:13:21,950
+التقارب ممكن الاختبار يفشل و تطلع ال conversion
+
+133
+00:13:21,950 --> 00:13:27,390
+الله أعلم شو بعرفنا لما نشوف خد كالمثال اللي هو
+
+134
+00:13:27,390 --> 00:13:33,530
+مثال 6 بيقول summation من N equal one to infinity
+
+135
+00:13:33,530 --> 00:13:42,510
+لإن ال N على N زائد واحد بنروح ناخد limit لهذا
+
+136
+00:13:42,510 --> 00:13:48,450
+المقدار يبقى لو جينا أخدنا limit لما ال N tends to
+
+137
+00:13:48,450 --> 00:13:53,350
+infinity لإن ال N على N زائد واحد
+
+138
+00:13:56,830 --> 00:14:02,450
+معها Vip تصريح تدخل تحت الجذور وداخل الأقواس وما
+
+139
+00:14:02,450 --> 00:14:09,590
+إلى ذلك يبقى هذا يبدو يسوى ال lim ل limit N على N
+
+140
+00:14:09,590 --> 00:14:15,510
+زائد واحد لما ال N tends to infinity يساوي ال lim
+
+141
+00:14:15,510 --> 00:14:19,890
+تعاود المباشر بيجيب ل infinity على infinity يبقى
+
+142
+00:14:19,890 --> 00:14:26,350
+مشتقة ال بسط على مشتقة المقام بجداجلأن الواحد يبقى
+
+143
+00:14:26,350 --> 00:14:32,970
+كم؟ Zero طيب Zero إذا ال series converged مش
+
+144
+00:14:32,970 --> 00:14:37,570
+عارفين المرة اللي فاتة حاطيناك نظرية بقولك لو كانت
+
+145
+00:14:37,570 --> 00:14:40,550
+converged يبقى ال limit يساوي Zero طب لو كان ال
+
+146
+00:14:40,550 --> 00:14:45,290
+limit يساوي Zero الله أعلم قد تكون converged و قد
+
+147
+00:14:45,290 --> 00:14:49,530
+تكون divergent يبقى في هذه الحالة اختبار لحد انه
+
+148
+00:14:49,530 --> 00:14:59,220
+ماله بيفشلهيبقى هذا بدي يعطيلك the nth term test
+
+149
+00:14:59,220 --> 00:15:09,240
+fails يبقى فشل طب مادام فشل كيبقى كي تسوي؟ دبر
+
+150
+00:15:09,240 --> 00:15:09,900
+حالك
+
+151
+00:15:14,220 --> 00:15:20,520
+يبقى برنا نروح نبحث عن طريقة أخرى للحكم على هذه ال
+
+152
+00:15:20,520 --> 00:15:28,650
+series هل هي converge او divergeولكن summation من
+
+153
+00:15:28,650 --> 00:15:35,350
+n equal one to infinity لإن ال n على n زائد واحد
+
+154
+00:15:35,350 --> 00:15:41,110
+يساوي summation من n equal one to infinity بدي
+
+155
+00:15:41,110 --> 00:15:47,310
+أحاول أكتب المثل هذه بصيغة أخرى إذا بقدر أقول هذه
+
+156
+00:15:47,310 --> 00:15:55,680
+لإن البسط ناقص لإن المقام شكله أنانيطب التعويض
+
+157
+00:15:55,680 --> 00:16:00,320
+المباشر لو أخدت limitاش بيطيني infinity سالب
+
+158
+00:16:00,320 --> 00:16:04,700
+infinity باعرفهاش هذي باكن هو اتحول الى infinity
+
+159
+00:16:04,700 --> 00:16:08,800
+على infinity او zero على zero طب ما هي كانت محولة
+
+160
+00:16:08,800 --> 00:16:14,480
+و جاهزة من الأول و فشل طب عشان نسوي ندبر حركة نرجع
+
+161
+00:16:14,480 --> 00:16:21,810
+لنفس ال sectionلما هذا الاختبار فشل رجعنا لمين؟ لأ
+
+162
+00:16:21,810 --> 00:16:27,190
+البداية كوننا sequence of partial sums ومن خلالها
+
+163
+00:16:27,190 --> 00:16:31,850
+قدرنا نحكم على مين على ال series بقوله كويس اذا
+
+164
+00:16:31,850 --> 00:16:36,310
+انا بدي ارجع لمين ل sequence of partial sums
+
+165
+00:16:36,310 --> 00:16:40,110
+مابديش اكونها من جديد مابدي اخد الحد نوني دغري
+
+166
+00:16:40,110 --> 00:16:50,730
+فبجي بقوله ذا in the term of the sequence of
+
+167
+00:16:50,730 --> 00:16:52,310
+partial
+
+168
+00:16:56,370 --> 00:17:03,610
+نبدأ باستخدام الرمز SN يبقى
+
+169
+00:17:03,610 --> 00:17:12,050
+لن الواحد ناقص لن اتنين لن اتنين ناقص لن تلاتة لن
+
+170
+00:17:12,050 --> 00:17:18,150
+تلاتة ناقص لن اربعة زاد ونظل ماشي لغاية ما نوصل
+
+171
+00:17:18,150 --> 00:17:29,510
+الحد النوني اللي هو لنلن ان ناقص لن ان زائد واحد
+
+172
+00:17:29,510 --> 00:17:34,130
+هذا شكل الحد النوني
+
+173
+00:17:37,770 --> 00:17:43,490
+طيب يبقى بناء عليه ال S N يساوي سالب لن اتنين
+
+174
+00:17:43,490 --> 00:17:48,410
+وموجب لن اتنين سالب لن تلاتة وموجب لن تلاتة سالب
+
+175
+00:17:48,410 --> 00:17:54,870
+لن اربعة وموجب لن اربعة سالب لن ال N وموجب لن ال N
+
+176
+00:17:54,870 --> 00:18:00,330
+مع السلامة اشرا يقول ان الواحد بجدي اشرا اذا انقلت
+
+177
+00:18:00,330 --> 00:18:07,920
+المسألة الى سالب لن ال N زائد واحد بنروح ناخد limit
+
+178
+00:18:07,920 --> 00:18:12,140
+للحد النوني في ال sequence لما ال N tends to
+
+179
+00:18:12,140 --> 00:18:18,220
+infinity يبقى هذا الكلام limit لمين؟ لسالب لإن ال
+
+180
+00:18:18,220 --> 00:18:23,220
+N زائد واحد لما ال N tends to infinity
+
+181
+00:18:27,770 --> 00:18:39,110
+معنى هذا الكلام ان ال sequence of partial sumsاللي
+
+182
+00:18:39,110 --> 00:18:45,310
+هي مين؟ على الشكل سالب لن ال N زائد واحد مالها
+
+183
+00:18:45,310 --> 00:18:51,490
+Diverge مدام Diverge هذا بده يعطينا مين؟ انه the
+
+184
+00:18:51,490 --> 00:18:57,930
+series اللي هي summation لن
+
+185
+00:18:57,930 --> 00:19:04,810
+ال N على N زائد واحد من N equal one to infinity
+
+186
+00:19:04,810 --> 00:19:14,350
+diverge وانتهينا من هذه المسألة اذا
+
+187
+00:19:14,350 --> 00:19:20,290
+اعطيناك الان بدل المثال ستة على كيفية تطبيق ال
+
+188
+00:19:20,290 --> 00:19:22,610
+nth term test
+
+189
+00:19:29,870 --> 00:19:35,890
+لازال في ال section بعض المعلومات البسيطة اول
+
+190
+00:19:35,890 --> 00:19:42,330
+معلومة عبارة عن نظرية theorem النظرية بتقول ما
+
+191
+00:19:42,330 --> 00:19:50,620
+يأتي FSummation على AN بده يساوي ال A and
+
+192
+00:19:50,620 --> 00:20:00,220
+summation على B ان بده يساوي ال B are convergent
+
+193
+00:20:00,960 --> 00:20:10,420
+Series متسلسلتين تقاربيتين then نمرة واحد اللي هو
+
+194
+00:20:10,420 --> 00:20:17,680
+summation على a n زائد او ناقص b n بيسوي summation
+
+195
+00:20:17,680 --> 00:20:25,640
+على a n زائد او ناقص summation على b n يبقى a زائد
+
+196
+00:20:25,640 --> 00:20:35,260
+او ناقص بي هذه is convergent يبقى هذه بتكون
+
+197
+00:20:35,260 --> 00:20:50,960
+تقاربية نمر اتنين if K is a non zero
+
+198
+00:20:53,220 --> 00:21:01,780
+constant is a non-zero constant then
+
+199
+00:21:01,780 --> 00:21:10,960
+summation ل K في ال A N و اللي هو بده يساوي K في
+
+200
+00:21:10,960 --> 00:21:15,740
+ال A is convergent
+
+201
+00:21:29,870 --> 00:21:40,770
+نمر واحد if K is a 
+
+202
+00:21:40,770 --> 00:21:45,150
+non-zero constant
+
+203
+00:21:53,700 --> 00:22:06,440
+and summation على an diverge then summation لك في
+
+204
+00:22:06,440 --> 00:22:10,220
+en diverge كذلك
+
+205
+00:22:13,580 --> 00:22:20,120
+لو كان عندي convergence series زائد او ناقص
+
+206
+00:22:20,120 --> 00:22:26,720
+convergence series الناتج بده يعطينا convergence
+
+207
+00:22:26,720 --> 00:22:35,830
+seriesنمرتها بعدها لو كان convergence series زائد
+
+208
+00:22:35,830 --> 00:22:43,070
+او ناقص divergence series الناتج بده يعطينا
+
+209
+00:22:43,070 --> 00:22:50,930
+divergence series divergence
+
+210
+00:22:50,930 --> 00:22:57,390
+seriesالنقطة التالتة والاخيرة لو كان divergent
+
+211
+00:22:57,390 --> 00:23:04,870
+series زاد او ناقص divergent series الناتج بدي
+
+212
+00:23:04,870 --> 00:23:17,990
+يعطينا may be convergent series or may be
+
+213
+00:23:17,990 --> 00:23:21,750
+divergent series
+
+214
+00:23:29,120 --> 00:23:34,760
+نرجع للنظرية اللى كاتبناها نقرأ و نحاول نشوف شو
+
+215
+00:23:34,760 --> 00:23:39,300
+اللى موجود فيها بقول افترض ان ال summation على a n
+
+216
+00:23:39,300 --> 00:23:44,560
+بده يساوي رقم a و ال summation على b n بده يساوي
+
+217
+00:23:44,560 --> 00:23:50,520
+رقم تاني b يبقى التنتين كانوا convergence series
+
+218
+00:23:50,520 --> 00:23:56,540
+يبقى في مثل هذه الحالة الجمع الجابري لل two series
+
+219
+00:23:56,540 --> 00:24:00,620
+ال summation هيدخل على الأولى و ال summation هيدخل
+
+220
+00:24:00,620 --> 00:24:04,760
+على التانية بيصير convergence زائد او ناقص
+
+221
+00:24:04,760 --> 00:24:09,900
+convergence series يبقى بده يعطيني a زائد او ناقص
+
+222
+00:24:09,900 --> 00:24:14,940
+بيه اعطاني رقم يجه مجموع two convergence series هو
+
+223
+00:24:14,940 --> 00:24:20,880
+عبارة عالميا عن convergence series نقطة ثانية لو
+
+224
+00:24:20,880 --> 00:24:26,160
+كانت ال series نفسها convergent وضربناها في مقدار
+
+225
+00:24:26,160 --> 00:24:31,360
+ثابت وده المقدار غير ال zero يبقى في هذه الحالة
+
+226
+00:24:31,360 --> 00:24:34,320
+بتظل هي convergence series
+
+227
+00:24:48,430 --> 00:24:51,630
+النقطة الأخيرة في النظرية و النقطة الأولى في ال
+
+228
+00:24:51,630 --> 00:24:59,150
+remark نوجز ذلك في ما يلي السيريز هذه ان كانت
+
+229
+00:24:59,150 --> 00:25:05,290
+converge او diverge وضربتها في مقدار ثابت المقدار
+
+230
+00:25:05,290 --> 00:25:10,830
+الثابت هذا نص تلت ربع خمسمية مليون قد ما يكون اي
+
+231
+00:25:10,830 --> 00:25:15,230
+number positive ولا حتى negative المهم مايكون مش
+
+232
+00:25:15,230 --> 00:25:19,850
+zero يبقى اللى كانت converge لما ضفها في هذا الرقم
+
+233
+00:25:19,850 --> 00:25:23,650
+بدها تبقى converge اللى كانت diverge وضربتها في
+
+234
+00:25:23,650 --> 00:25:28,750
+هذا الرقم برضه تبقى diverge كما هي يعني بالبلد هيك
+
+235
+00:25:28,750 --> 00:25:35,470
+اختصارا نقول ضرب ال series في رقم غير الصفر لا
+
+236
+00:25:35,470 --> 00:25:39,090
+يغير من ال convergence او ال divergence تبع ال
+
+237
+00:25:39,090 --> 00:25:42,720
+series اللى بتبقى converge بتبقى converge واللي
+
+238
+00:25:42,720 --> 00:25:48,280
+كانت diverge بيبقالها diverge كما هي مافيش تغيير
+
+239
+00:25:48,280 --> 00:25:52,940
+طيب لو عندنا جامع احنا اخدنا هنا جامع ل two
+
+240
+00:25:52,940 --> 00:25:57,200
+convergence يبقى روحت حطيته النقطة الأولى
+
+241
+00:25:57,200 --> 00:26:00,580
+convergence زائد او ناقص convergence series
+
+242
+00:26:00,580 --> 00:26:06,020
+بيعطينا convergence طيب convergence series زاد او
+
+243
+00:26:06,020 --> 00:26:09,880
+ناقص divergence series بيعطينا مين؟ divergence
+
+244
+00:26:09,880 --> 00:26:14,240
+series divergence series زاد او ناقص divergence
+
+245
+00:26:14,240 --> 00:26:19,460
+series بيعطينا series جديدة قد تكون converge وقد
+
+246
+00:26:19,460 --> 00:26:26,640
+تكون diverge الاحتمالان قائمان سأعطيك مثال بعد قليل
+
+247
+00:26:26,640 --> 00:26:32,420
+يوضح هذه الشيء، السؤال هو هؤلاء التلاتة هل يختلفوا
+
+248
+00:26:32,420 --> 00:26:37,900
+عن ال improper integrals؟ مافيش في أي تغيير تماما،
+
+249
+00:26:37,900 --> 00:26:41,660
+نفس المفهوم اللي كان في حالة ال two improper
+
+250
+00:26:41,660 --> 00:26:46,760
+integrals هو نفسه في حالة ال two convergent أو 
+
+251
+00:26:46,760 --> 00:26:52,870
+الـdivergent series نعطيك مثال توضح للشيء اللي
+
+252
+00:26:52,870 --> 00:26:57,070
+اللي قاعد بدور في دماغك شو اللي بدور في دماغك إن
+
+253
+00:26:57,070 --> 00:27:00,670
+لو عندي divergence series وعندي divergence series 
+
+254
+00:27:00,670 --> 00:27:03,910
+مجموعة ميساوي divergence بيقول معقول اه بتخش دماغك
+
+255
+00:27:03,910 --> 00:27:07,410
+دغري لإن infinity زائد infinity تساوي infinity إذا
+
+256
+00:27:07,410 --> 00:27:11,530
+ن divergence ماشي الحال طيب لكن لو diverse وعندي
+
+257
+00:27:11,530 --> 00:27:15,870
+ثانية diverse هل يعقل انها تكون converge الاجابة
+
+258
+00:27:15,870 --> 00:27:20,250
+نعم وإليك المثال التالي يبقى example
+
+259
+00:27:45,620 --> 00:27:55,360
+والثاني والثالث والرابع والخامس واحد زائد إلى آخره
+
+260
+00:28:05,590 --> 00:28:09,730
+السؤال هو هل هذه converged series ولا diverse
+
+261
+00:28:09,730 --> 00:28:15,940
+series؟ Is it 
+
+262
+00:28:15,940 --> 00:28:20,820
+geometric series؟ هل هذه هي geometric series؟ نعم
+
+263
+00:28:20,820 --> 00:28:25,480
+لأن أجسم أي حد على الحد السابق له بيطلع يبجهين
+
+264
+00:28:25,480 --> 00:28:31,280
+الأساس بواحد وال ratio بواحد مش هيقول يبجه هذه
+
+265
+00:28:31,280 --> 00:28:36,600
+diverse geometric series يبجه هذه diverse
+
+266
+00:28:36,600 --> 00:28:41,040
+geometric series because
+
+267
+00:28:43,360 --> 00:28:47,820
+يبقى دا if summation then او diverse geometric
+
+268
+00:28:47,820 --> 00:28:53,300
+series because absolute value لR بده يساوي الواحد
+
+269
+00:28:53,300 --> 00:29:02,380
+طيب خدلي ال series الثانية and if summation من N
+
+270
+00:29:02,380 --> 00:29:08,560
+equal one to infinity لمين لسالب واحد to the power
+
+271
+00:29:08,560 --> 00:29:14,680
+2N ناقص ال 1 يساوي من يعرف يقول الحد الأول
+
+272
+00:29:14,680 --> 00:29:22,680
+قداش؟ كله Zero كله Zero؟ ثالث واحد ثالث واحد
+
+273
+00:29:25,800 --> 00:29:31,640
+والثالث والرابع السبب إن الأس فردي هذا الأس زوجي
+
+274
+00:29:31,640 --> 00:29:36,240
+فكله بالموجب هذا الأس دائما و أبدا مهما تحط ال N
+
+275
+00:29:36,240 --> 00:29:42,420
+بيطلع فردي يبقى هذا بدي يعطيني واحد سالب واحد زائد
+
+276
+00:29:42,420 --> 00:29:48,200
+سالب واحد زائد سالب واحد زائد سالب واحد زائد زائد
+
+277
+00:29:48,200 --> 00:29:54,640
+سالب واحد زائد إلى ما شاء الله طيب كمان هذه دايفير
+
+278
+00:29:54,640 --> 00:30:04,620
+جيومتريك سيريز السبب because absolute value ل R
+
+279
+00:30:04,620 --> 00:30:10,860
+يساوي كده اكيد اقسم سالب واحد على سالب واحد بواحد
+
+280
+00:30:10,860 --> 00:30:15,540
+بالموجب مش بسالب واحد يبقى سالب واحد على سالب واحد
+
+281
+00:30:15,540 --> 00:30:22,820
+بواحد يبقى الحد الأول سالب واحد والأساس واحد صحيح
+
+282
+00:30:22,820 --> 00:30:27,000
+طب التنتين هدول by their يبقى if summation يساوي
+
+283
+00:30:27,000 --> 00:30:29,540
+كذا by their والتاني ال summation هذه يساوي by
+
+284
+00:30:29,540 --> 00:30:34,960
+their then ايش رأيك بدي أجمع التنتين مع بعض يبقى
+
+285
+00:30:34,960 --> 00:30:40,100
+بداجي summation من n equal one to infinity لناقص
+
+286
+00:30:40,100 --> 00:30:44,600
+واحد to the power 2N ناقص 1 زائد summation
+
+287
+00:30:44,600 --> 00:30:53,200
+من n equal one to infinity لمين لسالب واحد ولا
+
+288
+00:30:53,200 --> 00:30:57,720
+خليها 2N زي ما في الأول وهذه 2N ناقص
+
+289
+00:30:57,720 --> 00:31:03,060
+واحد تعالوا نجمع بنشوف قداش بيعطينا كل answer مع
+
+290
+00:31:03,060 --> 00:31:09,780
+نظيره قداش Zero زائد Zero زائد Zero زائد Zero زائد
+
+291
+00:31:09,780 --> 00:31:09,980
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+292
+00:31:09,980 --> 00:31:10,060
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+293
+00:31:10,060 --> 00:31:10,540
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+294
+00:31:10,540 --> 00:31:10,920
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+295
+00:31:10,920 --> 00:31:10,940
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+296
+00:31:10,940 --> 00:31:22,040
+Zero زائد
+
+297
+00:31:22,040 --> 00:31:24,960
+Zero
+
+298
+00:31:31,720 --> 00:31:36,080
+و أمر 0 على 0 بده يساوي قيمة وهذه undefined يبقى
+
+299
+00:31:36,080 --> 00:31:40,120
+هذه ليست جيومتريكس سيريز لكن الجامعة تبعها أعطاني
+
+300
+00:31:40,120 --> 00:31:44,920
+zero يبقى هذه convergence series يبقى هذا مثال ل
+
+301
+00:31:44,920 --> 00:31:48,000
+two divergence series يعطاني main اللي هو
+
+302
+00:31:48,000 --> 00:31:53,740
+convergence series طيب بدنا نيجي الآن لمثال على
+
+303
+00:31:53,740 --> 00:31:55,800
+هذا الكلام example
+
+304
+00:32:00,880 --> 00:32:15,540
+بقول discuss ناقش لي the convergence of
+
+305
+00:32:15,540 --> 00:32:18,980
+the
+
+306
+00:32:18,980 --> 00:32:24,120
+following series
+
+307
+00:32:24,120 --> 00:32:28,940
+if the
+
+308
+00:32:28,940 --> 00:32:29,500
+series
+
+309
+00:32:32,220 --> 00:32:40,080
+converge find its sum بدنا
+
+310
+00:32:40,080 --> 00:32:44,740
+نجدها المجموعة تبعها
+
+311
+00:33:01,170 --> 00:33:10,510
+نمر a summation من n equal zero to infinity لخمسة
+
+312
+00:33:10,510 --> 00:33:19,710
+على اثنين to the power n ناقص واحد
+
+313
+00:33:19,710 --> 00:33:28,190
+على ثلاثة to the power n يبقى
+
+314
+00:33:28,190 --> 00:33:34,970
+هذه بقدر أقول يساوي ممكن أحطها على شكل فرق ما بين
+
+315
+00:33:34,970 --> 00:33:41,130
+two series يبقى هذه ال summation من N equal zero
+
+316
+00:33:41,130 --> 00:33:47,450
+to infinity هذه الخمسة بقدر أكتبها نصف to the power
+
+317
+00:33:47,450 --> 00:33:55,030
+N ناقص summation من N equal zero to infinity لواحد
+
+318
+00:33:55,030 --> 00:34:02,250
+على ثلاثة to the power N والله علينا كويس هل هذه
+
+319
+00:34:02,250 --> 00:34:08,430
+Geometric Series؟ لأ لأ يبقى هذه convert لأن ال
+
+320
+00:34:08,430 --> 00:34:13,450
+ratio تبعها يساوي نصف أقل من الواحد الصحيح يبقى هذه
+
+321
+00:34:13,450 --> 00:34:21,430
+convert Geometric Series السبب because إن absolute
+
+322
+00:34:21,430 --> 00:34:26,790
+value لR يساوي نصف أقل من الواحد الصحيح نجي لل
+
+323
+00:34:26,790 --> 00:34:33,020
+series الثانية هذه برضه convert geometric series
+
+324
+00:34:33,020 --> 00:34:40,740
+السبب إن absolute value ل R يساوي ثلث أقل من الواحد
+
+325
+00:34:40,740 --> 00:34:45,320
+الصحيح مادام ناقص converge يبقى ال series اللي
+
+326
+00:34:45,320 --> 00:34:47,680
+قمناها دي مالها convert
+
+327
+00:34:57,510 --> 00:35:05,770
+يبقى هنا sum from n equals zero to infinity لخمسة
+
+328
+00:35:05,770 --> 00:35:11,330
+على اثنين to the power of n ناقص واحد على ثلاثة to
+
+329
+00:35:11,330 --> 00:35:12,590
+the power of n
+
+330
+00:35:19,200 --> 00:35:27,120
+بدها يساوي S واحد ناقص S اثنين يبقى ال S عندنا بدنا
+
+331
+00:35:27,120 --> 00:35:31,640
+نجي نجمع ال series الأولى الحد الأول في ال series
+
+332
+00:35:31,640 --> 00:35:39,880
+الأولى كده إيش؟ خمسة على واحد ناقص الأساسي اللي هو نصف
+
+333
+00:35:39,880 --> 00:35:45,260
+ناقص الحد الأول في ال series اللي عندنا هنا كده إيش؟
+
+334
+00:35:46,130 --> 00:35:56,070
+واحد على واحد ناقص ثلث ويساوي الآن هذا خمسة على نصف
+
+335
+00:35:56,070 --> 00:36:05,590
+وهنا ناقص واحد على ثلثين واحد ناقص ثلث يساوي ثلثين
+
+336
+00:36:05,590 --> 00:36:13,770
+يعني عشرة ناقص ثلاثة على اثنين يبقى هنا هذا الكلام
+
+337
+00:36:13,770 --> 00:36:20,130
+بدها يساوي بالمرة عشرة أشيل منها واحد ونصف بيصير
+
+338
+00:36:20,130 --> 00:36:26,110
+ثمانية ونصف يعني السبعة عشر على اثنين مجموع ال
+
+339
+00:36:26,110 --> 00:36:37,290
+series نمر بيه بيقول لي summation من N equal zero
+
+340
+00:36:37,290 --> 00:36:46,130
+to infinity لمن؟ لل E على N to the power N E على
+
+341
+00:36:46,130 --> 00:36:56,990
+باي to the power N زائد E N على من على N زائد ثلاثة
+
+342
+00:36:58,030 --> 00:37:03,990
+بنجي نشوف هل ال series هذه converge ولا diverge
+
+343
+00:37:03,990 --> 00:37:08,910
+فعلاً
+
+344
+00:37:08,910 --> 00:37:13,210
+في كل series على حدها مشان نشوف كيف بنحكم على كل
+
+345
+00:37:13,210 --> 00:37:24,770
+واحدة فيهم هل هي converge أم diverge نجي
+
+346
+00:37:24,770 --> 00:37:26,110
+لل series الأولانية
+
+347
+00:37:28,830 --> 00:37:33,650
+ايش رأيك فيها هذه convert ولا diverge convert لإنه
+
+348
+00:37:33,650 --> 00:37:37,690
+E على باي اثنين وسبعة من عشر اتل اتو اربعتاشر من
+
+349
+00:37:37,690 --> 00:37:43,650
+مية كسر أقل من الواحد الصحيح إذا هذه converge
+
+350
+00:37:43,650 --> 00:37:51,470
+geometric series السبب because إن absolute value
+
+351
+00:37:51,470 --> 00:37:57,430
+ل R يساوي E على باي يعني اثنين وسبعة من عشرة تقريباً
+
+352
+00:37:57,620 --> 00:38:02,700
+على ثلاثة وأربعتاشر من مية تقريباً أقل من الواحد
+
+353
+00:38:02,700 --> 00:38:03,380
+الصحيح
+
+354
+00:38:09,800 --> 00:38:14,520
+لأ يبقى بتروح أشوف هل هذه Convergent ولا Divergent
+
+355
+00:38:14,520 --> 00:38:19,780
+بروح إذا بدي اخذ ال N's term test هي اللي عندي
+
+356
+00:38:19,780 --> 00:38:24,680
+المتوفر يبقى باخذ limit لما ال N tends to infinity
+
+357
+00:38:24,680 --> 00:38:31,470
+لل EOS N على N زائد ثلاثة تعويض مباشر بتجيب لي
+
+358
+00:38:31,470 --> 00:38:36,510
+infinity على infinity بقدر أستخدم قاعدة lobital هي
+
+359
+00:38:36,510 --> 00:38:42,950
+بجادي limit لما ال n tends to infinity لمن ل ال E
+
+360
+00:38:42,950 --> 00:38:49,240
+أس ان على واحد EOS Infinity يبقى درجة يبقى ال
+
+361
+00:38:49,240 --> 00:38:53,500
+series اللي عملناها دي مالها divers يبقى sum
+
+362
+00:38:53,500 --> 00:39:00,860
+summation لل EOS N على N زائد ثلاثة divers إذا مش
+
+363
+00:39:00,860 --> 00:39:06,980
+اللي حصل عندي صار عندنا الأولى convergeوالتانية
+
+364
+00:39:06,980 --> 00:39:14,500
+Diverge يبقى نتيجة كده؟ يبقى Summation من N equal
+
+365
+00:39:14,500 --> 00:39:21,640
+zero to infinity لل E على Pi to the power N زائد E
+
+366
+00:39:21,640 --> 00:39:28,500
+أس N على N زائد ثلاثة Diverge series
+
+367
+00:39:35,120 --> 00:39:42,800
+عشان أعطيكم الملاحظة يبقى remark adding
+
+368
+00:39:42,800 --> 00:39:45,980
+or
+
+369
+00:39:45,980 --> 00:39:53,540
+deleting a
+
+370
+00:39:53,540 --> 00:39:54,960
+finite number
+
+371
+00:40:02,320 --> 00:40:06,000
+معدل عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+372
+00:40:06,000 --> 00:40:11,100
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+373
+00:40:11,100 --> 00:40:13,080
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+374
+00:40:13,080 --> 00:40:14,660
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+375
+00:40:14,660 --> 00:40:17,860
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد 
+
+376
+00:40:17,860 --> 00:40:22,160
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+377
+00:40:22,160 --> 00:40:25,960
+عدد
+
+378
+00:40:25,960 --> 00:40:28,020
+عدد عد
+
+379
+00:40:32,320 --> 00:40:39,100
+أو مختلفة مختلفة
+
+380
+00:40:39,100 --> 00:40:43,060
+من السلسلة
+
+381
+00:41:19,460 --> 00:41:25,880
+adding or diluting above it أو شطب عدد محدود من
+
+382
+00:41:25,880 --> 00:41:30,940
+حدود الـ series لا يؤثر على الـ convergence ولا على 
+
+383
+00:41:30,940 --> 00:41:35,700
+الـ divergence لمن؟ للـ series يعني افترض أنا عندي
+
+384
+00:41:35,700 --> 00:41:40,740
+series summation من n equal one to infinity للـ a n
+
+385
+00:41:40,740 --> 00:41:46,060
+شطبت إن شاء الله يكون خمسمئة حد منها مرة واحدة
+
+386
+00:41:46,060 --> 00:41:51,650
+وأهملتهم، يبقى بدي أبدأ من عند رقم خمسمئة واحد إلى
+
+387
+00:41:51,650 --> 00:41:55,370
+infinity إذا الـ series الأصلية converged يبقى
+
+388
+00:41:55,370 --> 00:41:58,570
+الجديدة converged وإذا الأصلية diverged يبقى
+
+389
+00:41:58,570 --> 00:42:03,790
+الجديدة diverged كذلك طب افترض إنه أنت عندك
+
+390
+00:42:03,790 --> 00:42:08,450
+summation من عند n تساوي مية إلى infinity كانت
+
+391
+00:42:08,450 --> 00:42:14,070
+converged أو Diverge ورحت ابتديت من عند N تساوي
+
+392
+00:42:14,070 --> 00:42:19,270
+Zero لـ Infinity يعني كأنه أضافت كده تسعة وتسعين
+
+393
+00:42:19,270 --> 00:42:23,710
+حد مظبوط هذا لا يؤثر على الـ convergence ولا على الـ
+
+394
+00:42:23,710 --> 00:42:27,370
+divergence يعني إذا الأصلية كانت converge يبقى
+
+395
+00:42:27,370 --> 00:42:30,330
+الجديدة converge وإذا الأصلية Diverge يبقى الجديدة
+
+396
+00:42:30,330 --> 00:42:36,110
+كذلك Diverge فقولنا that is a n نمرة واحد if
+
+397
+00:42:36,110 --> 00:42:42,460
+summation من n equal one to infinity للـ a n
+
+398
+00:42:42,460 --> 00:42:52,100
+converge or diverge هذي أو هذي then summation من n
+
+399
+00:42:52,100 --> 00:42:58,240
+تساوي خمسمئة زي ما قلنا إلى infinity للـ a n برضه
+
+400
+00:42:58,240 --> 00:43:04,140
+converge or diverge اللي كانت converge بتبقى الـ
+
+401
+00:43:04,140 --> 00:43:07,500
+converge واللي كانت diverge بتبقى الـ diverge نمري
+
+402
+00:43:07,500 --> 00:43:15,650
+اتنين if summation من N equal 100 to infinity للـ a n
+
+403
+00:43:15,650 --> 00:43:25,470
+converge or diverge then summation من N equal 0 to
+
+404
+00:43:25,470 --> 00:43:33,450
+infinity للـ a n converge or diverge يبقى في الأول
+
+405
+00:43:33,450 --> 00:43:40,680
+طرحنا اللي هو 499 حد، أهملناهم، واخدنا الـ series
+
+406
+00:43:40,680 --> 00:43:46,220
+لبعدها، هنا بدأنا من عند المية، لقتها converge أو 
+
+407
+00:43:46,220 --> 00:43:51,620
+كانت diverge، قمت أضفتلها كمان تسعة وتسعين حد أو 
+
+408
+00:43:51,620 --> 00:43:55,760
+ميت حد لأن بدأت من عند الـ n تساوي zero أضفتلها ميت
+
+409
+00:43:55,760 --> 00:43:59,300
+حد، يبقى إذا الأصلية converge يبقى الجديدة converge
+
+410
+00:43:59,300 --> 00:44:04,000
+وإذا الجديدة، إذا الأصلية diverge يبقى الجديدة كذلك
+
+411
+00:44:04,000 --> 00:44:08,250
+diverge، طب ايش دخل هذا الموضوع؟ اه بنقولك هذا
+
+412
+00:44:08,250 --> 00:44:15,090
+الكلام له ما بعده في الـ sections القادمة، طب في
+
+413
+00:44:15,090 --> 00:44:20,190
+حاجة شرطلها برضه في هذا الـ section قبل قبل ذلك في
+
+414
+00:44:20,190 --> 00:44:24,350
+المحاضرة الماضية وهي تغيير الدليل اللي تحت الـ
+
+415
+00:44:24,350 --> 00:44:30,130
+summation يبقى في عندنا حاجة بنسميها reindexing
+
+416
+00:44:37,300 --> 00:44:44,280
+عادة تغيير الدليل تحت الـ summation تمام؟ ايش
+
+417
+00:44:44,280 --> 00:44:51,500
+تغيير الدليل تحت الـ summation؟ طلعلي كويس هنا بجي
+
+418
+00:44:51,500 --> 00:44:56,620
+بقوله لو كان عندي الـ summation من n equal zero to
+
+419
+00:44:56,620 --> 00:45:02,300
+infinity أو من عند n تساوي واحد إلى infinity للـ a 
+
+420
+00:45:02,300 --> 00:45:08,680
+أرقام n ناقص واحد، بدل ما كانت بالشكل هذا الـ N بادئ
+
+421
+00:45:08,680 --> 00:45:15,020
+من وين؟ من عند الـ واحد لو جيت شيلت كل N وحطيت
+
+422
+00:45:15,020 --> 00:45:21,840
+مكانها N زائد واحد، تساوي واحد إلى انفينيتي، A أرقام
+
+423
+00:45:21,840 --> 00:45:28,280
+N زائد واحد ناقص واحد بالشكل هذا، يبقى شيلت كل N
+
+424
+00:45:28,280 --> 00:45:34,100
+وحطيت مكانها ايه؟ N زائد واحد، يبقى هذه هتساوي الـ
+
+425
+00:45:34,100 --> 00:45:38,740
+summation، هتل الواحد هنا بيجي بشرة مخالفة بصير من
+
+426
+00:45:38,740 --> 00:45:46,610
+عند n تساوي zero إلى infinity للـ A r أس N، يبقى ايش
+
+427
+00:45:46,610 --> 00:45:51,990
+اللي حصل الـ index بدل ما كان واحد خلاه اين؟ خلاه
+
+428
+00:45:51,990 --> 00:45:57,550
+zero، طب بده لو طلعته أكثر من ذلك يبقى باجي بقوله
+
+429
+00:45:57,550 --> 00:46:02,970
+الـ summation، والـ summation من n equal one to
+
+430
+00:46:02,970 --> 00:46:08,270
+infinity للـ a أرقام n ناقص واحد، يساوي الـ summation
+
+431
+00:46:08,860 --> 00:46:14,940
+بدل ما حطيت n زائد واحد، بده أحط n ناقص أربعة، تساوي
+
+432
+00:46:14,940 --> 00:46:23,000
+واحد إلى infinity، يبقى هذا ar أس n ناقص أربعة ناقص
+
+433
+00:46:23,000 --> 00:46:28,490
+واحد، يعني هذا بيصير الـ summation من عند N تساوي
+
+434
+00:46:28,490 --> 00:46:37,070
+خمسة إلى infinity للـ A أرقام N ناقص خمسة، شو رأيك؟
+
+435
+00:46:37,070 --> 00:46:42,650
+هل هدول التلاتة بيختلفوا عن بعض؟ والله هما هما
+
+436
+00:46:42,650 --> 00:46:47,570
+تعالى نشوف، بدأ امسك من؟ الأول اللي عندنا هذا، بدأ
+
+437
+00:46:47,570 --> 00:46:55,480
+أحط N بواحد، بيصير هذا كله بجداش r0 بـ 1 في A يبقى بـ A
+
+438
+00:46:57,250 --> 00:47:05,490
+ar تربيع
+
+439
+00:47:05,490 --> 00:47:16,130
+ar تكعيب، ar تربيع
+
+440
+00:47:16,130 --> 00:47:18,930
+ar تركيب ar تركيب ar تركيب ar تركيب ar تركيب ar
+
+441
+00:47:18,930 --> 00:47:23,330
+تركيب ar تركيب ar تركيب ar تركيب ar تركيب ar تركيب
+
+442
+00:47:23,330 --> 00:47:23,350
+تركيب ar تركيب ar تركيب ar تركيب ar تركيب ar تركيب
+
+443
+00:47:23,350 --> 00:47:23,450
+ar تركيب ar ت
+
+444
+00:47:30,660 --> 00:47:37,800
+طيب بسكلي هذه n تساوي خمسة، يبقى حط n بخمسة بصير ar
+
+445
+00:47:37,800 --> 00:47:45,580
+أس زيرو اللي بيبقى داشر a، حط ستة ar هي، حط سبعة ar
+
+446
+00:47:45,580 --> 00:47:50,920
+تربيع، يبقى صار كل هذه اللي يبدأ تساوي الـ summation
+
+447
+00:47:50,920 --> 00:47:53,820
+من n equal zero to infinity
+
+448
+00:48:13,720 --> 00:48:20,950
+يبقى هذا اللي بنسميه reindexing، إعادة صياغة الدليل
+
+449
+00:48:20,950 --> 00:48:27,490
+تحت الـ summation دون أن نغير من قيمة الـ series
+
+450
+00:48:27,490 --> 00:48:31,930
+طبعا لأول واحدة لو قبل ما نحكي لك الكلام هذا و
+
+451
+00:48:31,930 --> 00:48:36,370
+سألنا كواحدة، تنتين، تلاتة، تقولي ولا واحدة زي
+
+452
+00:48:36,370 --> 00:48:42,540
+التانية، شكلا بيساووا بعض، ليش الـ index اللي تحت صحيح
+
+453
+00:48:42,540 --> 00:48:46,060
+اللي فوق infinity لهم كلهم بس الـ index اللي تحت الـ
+
+454
+00:48:46,060 --> 00:48:51,620
+summation يختلف من series إلى أخرى، نهيك عن شكل
+
+455
+00:48:51,620 --> 00:48:56,700
+الحد النوني يختلف من واحدة إلى أخرى لكن لو جينا
+
+456
+00:48:56,700 --> 00:49:02,520
+نحسبهم عمليا بلاج التلاتة كله ايه كله زي بعض وبناء
+
+457
+00:49:02,520 --> 00:49:02,980
+عليه
+
+458
+00:49:09,740 --> 00:49:15,520
+يبقى إعادة تغيير الدليل اللي تحت الـ summation ممكن
+
+459
+00:49:15,520 --> 00:49:23,840
+بدون مشاكل، أهمال عدد محدود من حدود الـ series لا
+
+460
+00:49:23,840 --> 00:49:28,860
+يغير لا الـ convergence ولا الـ divergence، إهمال عدد
+
+461
+00:49:28,860 --> 00:49:32,660
+محدود من حدود الـ series لا يغير الـ convergence ولا
+
+462
+00:49:32,660 --> 00:49:40,240
+الـ divergence شكلا
+
+463
+00:49:40,240 --> 00:49:46,180
+شكلا لكن عمليا وين
+
+464
+00:49:46,180 --> 00:49:55,760
+هو؟ هذي يعني و هذي؟ هذي
+
+465
+00:49:55,760 --> 00:50:01,600
+و الله هذي أي واحدة منهم summation هذي convert لو
+
+466
+00:50:01,600 --> 00:50:05,720
+كانت convert روحت أهملت أربعمية وتسعة وتسعين حد
+
+467
+00:50:05,720 --> 00:50:11,220
+منها ماشي وتزعل؟ لأ، اين؟ لكن عندك تعويض بيكون
+
+468
+00:50:11,220 --> 00:50:18,440
+a500 هذا، هذا بيكون a1 وهذا بيكون a500، a500 هو
+
+469
+00:50:18,440 --> 00:50:21,940
+الحد الأول في الـ series الجديدة، يختلف عن الحد
+
+470
+00:50:21,940 --> 00:50:26,370
+الأول في الـ series الأصلية تمام؟ هذا لو بدأت من عند
+
+471
+00:50:26,370 --> 00:50:30,570
+المية بيكون A مية هو الحد الأول في الـ series
+
+472
+00:50:30,570 --> 00:50:35,570
+العصرية، هنا A صفر هو الحد الأول في الـ series
+
+473
+00:50:35,570 --> 00:50:42,570
+العصرية، إذا تنتين مختلفتين عن بعض تماما كويس؟ يبقى
+
+474
+00:50:42,570 --> 00:50:46,130
+هذه اللحظة اللي قلت لحد هنا انتهى هذا الـ section
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/95a_Lk9dfUg_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/95a_Lk9dfUg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..42b089f30118a5d72acffcacf65501dc2fe214c7
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/95a_Lk9dfUg_raw.srt
@@ -0,0 +1,1924 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,430 --> 00:00:15,750
+بسم الله الرحمن الرحيم نكمل ما ابتدأنا به في المرة
+
+3
+00:00:15,750 --> 00:00:20,950
+الماضية المرة الماضية بدأنا بال infinite series
+
+4
+00:00:20,950 --> 00:00:27,630
+واخدنا فيها ال geometric series ثم بعد ذلك انتقلنا
+
+5
+00:00:27,630 --> 00:00:32,650
+الى اختبار الحد النوني في ال geometric series قلنا
+
+6
+00:00:32,650 --> 00:00:37,510
+ال series هذه ممكن تكون converge فقطإذا كان ال
+
+7
+00:00:37,510 --> 00:00:43,150
+absolute value لل ratio تبعتها ر أقل من واحد صحيح
+
+8
+00:00:43,150 --> 00:00:48,350
+يعني إذا كانت محصورة بين واحد و سالب واحد و بتبقى
+
+9
+00:00:48,350 --> 00:00:53,090
+diverge إذا absolute value لل R أكبر من أو يساوي
+
+10
+00:00:53,090 --> 00:00:59,750
+واحد صحيح ثم انتقلنا إلى أول اختبار من الاختبارات
+
+11
+00:00:59,750 --> 00:01:03,650
+الستة اللي من خلالهم بدأ نحكم على series هل هي
+
+12
+00:01:03,650 --> 00:01:09,650
+converge او divergeواخدنا اول اختبار المرة الماضية
+
+13
+00:01:09,650 --> 00:01:12,830
+اللي هو اختبار الحد النوني
+
+14
+00:01:19,510 --> 00:01:23,110
+بنجي على الحد النوني في ال series وبناخدله ال
+
+15
+00:01:23,110 --> 00:01:28,590
+limit، إذا والله كانت ال limit لا تساوي zero أو
+
+16
+00:01:28,590 --> 00:01:32,890
+infinity على كل الأمرين، بنقول ان ال series هذه
+
+17
+00:01:32,890 --> 00:01:38,700
+مالها، diverged فقط، لا غيرالاختبار الحد النوني
+
+18
+00:01:38,700 --> 00:01:42,980
+يقيص ال divergence لل series ولا يقيص ال
+
+19
+00:01:42,980 --> 00:01:46,960
+convergence إذا مشان يشوف ال series هذه هي
+
+20
+00:01:46,960 --> 00:01:51,340
+divergent ولا لا بروح باخد limit للحد النوني إذا
+
+21
+00:01:51,340 --> 00:01:57,660
+ال limit كانت تسوي أي رقم ما عدا الصفر أو كانت ال
+
+22
+00:01:57,660 --> 00:01:58,980
+limit تسوي ال infinity
+
+23
+00:02:01,960 --> 00:02:07,040
+أخذنا على ذلك المرة الماضية مثالا واحدا وهذا هو
+
+24
+00:02:07,040 --> 00:02:12,640
+المثال رقم اتنين اذا بدنا نشوف هذي ال series هل هي
+
+25
+00:02:12,640 --> 00:02:17,140
+converge ولا diverse اذا بتروح اخد limit للحد
+
+26
+00:02:17,140 --> 00:02:24,060
+النوني لهذه ال series اذا بدني اخد limitللـ A M
+
+27
+00:02:24,060 --> 00:02:29,260
+لما ال N tends to infinity يبقى limit لما ال N
+
+28
+00:02:29,260 --> 00:02:35,060
+tends to infinity ل 2 to the power N زائد 4 to the
+
+29
+00:02:35,060 --> 00:02:41,840
+power M على 3 to the power N زائد 4 to the power M
+
+30
+00:02:42,840 --> 00:02:47,340
+التعويض المباشر حيجيب للباصد بالإنفينيتي والمقام
+
+31
+00:02:47,340 --> 00:02:54,700
+بالإنفينيتي تمام؟ يبقى بناء عليه مهما نشتاق، لا
+
+32
+00:02:54,700 --> 00:02:59,380
+يمكن أن ينتهي الباصد أو المقام، ولا واحد فيهم
+
+33
+00:02:59,380 --> 00:03:04,870
+بينتهي، إذن مش هنخلص من هالشغل هذهإذا ما بنلجأ
+
+34
+00:03:04,870 --> 00:03:09,370
+للطريقة الثانية لحساب ال limits إذا كانت النتيجة
+
+35
+00:03:09,370 --> 00:03:13,750
+infinity على infinity وهي أن نقسم كل من البسط و
+
+36
+00:03:13,750 --> 00:03:17,990
+المقام على x المرفوعة لأكبر أس في المقام و في
+
+37
+00:03:17,990 --> 00:03:23,150
+المقابل هنقسم كل من البسط و المقام على أكبر قيمة
+
+38
+00:03:23,150 --> 00:03:27,110
+موجودة في المقاممين اللي اكبر؟ اربعة أس ان ولا
+
+39
+00:03:27,110 --> 00:03:32,170
+تلاتة أس ان؟ اربعة أس ان اذا مدى يقسم كل من البسط
+
+40
+00:03:32,170 --> 00:03:38,150
+والمقام على اربعة أس ان اذا لو جينا جسمنا هتاخد
+
+41
+00:03:38,150 --> 00:03:43,210
+الشكل التالي limit لما ان بدأ تروح ل infinity
+
+42
+00:03:43,210 --> 00:03:50,100
+لليتنين على اربعة كله to the power nزائد واحد
+
+43
+00:03:50,100 --> 00:03:56,140
+تلاتة على أربعة كله to the power in زائد واحد
+
+44
+00:03:57,750 --> 00:04:02,910
+القلال اللي بين جسين هذا كسر أقل من الواحد الصحيح
+
+45
+00:04:02,910 --> 00:04:06,750
+يبقى ال limit إيه لما ال end بدأ تروح لماله ليه
+
+46
+00:04:06,750 --> 00:04:11,610
+يسوي zero من الجدول النقطة رقم أربعة في الجدول ال
+
+47
+00:04:11,610 --> 00:04:16,310
+limits الستة يبقى هذا بيروح ب zero وهذا بيلحق ب
+
+48
+00:04:16,310 --> 00:04:22,590
+zero بظهر النتج كده و الواحد ماله ليه سوى zero
+
+49
+00:04:22,590 --> 00:04:27,110
+بروح أقوله buy the end
+
+50
+00:04:54,090 --> 00:04:56,110
+وانتهينا من المثلة
+
+51
+00:05:00,910 --> 00:05:07,330
+سؤال رقم تلاتة بيقول لي summation من N equal one
+
+52
+00:05:07,330 --> 00:05:14,770
+to infinity لل N plus one على الجذر التربيعي لاربع
+
+53
+00:05:14,770 --> 00:05:18,130
+N تربيع زائد تلاتة
+
+54
+00:05:21,600 --> 00:05:27,820
+بنروح ناخد limit لل a n لما ال n tends to infinity
+
+55
+00:05:27,820 --> 00:05:33,540
+يسوى limit لما ال n tends to infinity لل n plus
+
+56
+00:05:33,540 --> 00:05:38,040
+one على الجدرى التربية إلى أربعة n تربية زائد
+
+57
+00:05:38,040 --> 00:05:38,620
+تلاتة
+
+58
+00:05:41,140 --> 00:05:44,880
+طلعنا في المقدار اللي عندنا هنا التعويض المباشر
+
+59
+00:05:44,880 --> 00:05:50,280
+بيجيب ل infinity على infinity يبقى يا إما بلوبة ال
+
+60
+00:05:50,280 --> 00:05:54,540
+rule يا إما الطريقة اللي تبعناها فوق وهي إنه نقسم
+
+61
+00:05:54,540 --> 00:05:57,960
+كل من ال bus و المقام على إن المرفوع ليه أكبر قص
+
+62
+00:05:57,960 --> 00:06:02,810
+في المقامأكبر N مرفوعة للأسفل المقام اللي هي جداش
+
+63
+00:06:02,810 --> 00:06:08,450
+N تربية لكن N تربية تحت الجدر يبقى هذي في الحقيقة
+
+64
+00:06:08,450 --> 00:06:14,290
+جداش بكون N يبقى بنقسم كل من ال bus والمقام على N
+
+65
+00:06:14,290 --> 00:06:19,330
+يبقى بناء عليه هذا بدي يعطينا ال limit لما ال N
+
+66
+00:06:19,330 --> 00:06:25,820
+tends to infinity للواحد زائد واحد على N علىهذه
+
+67
+00:06:25,820 --> 00:06:30,480
+اللي بدك اسمها على ان تدخل ان تحت الجدر التربيعي
+
+68
+00:06:30,480 --> 00:06:35,060
+لما تدخل ان تحت الجدر التربيعي بيصير الجدر
+
+69
+00:06:35,060 --> 00:06:42,110
+التربيعي لأربعة زائد تلاتة على ان تربيعلأن N لما
+
+70
+00:06:42,110 --> 00:06:46,490
+ندخله تحت الجدر بيصير N تربية بيصير عندنا أربعة N
+
+71
+00:06:46,490 --> 00:06:50,010
+تربية على N تربية اللي يبقى أربعة تلاتة على N
+
+72
+00:06:50,010 --> 00:06:55,410
+تربية كما هي الان ال limit هندخله لكل من ال bus و
+
+73
+00:06:55,410 --> 00:07:00,570
+المعقام لو دخلت على ال bus فنهاية المقدار الثابت
+
+74
+00:07:00,570 --> 00:07:07,330
+بالمقدار الثابت itself وهذا بجد ياشيبزيرو وهذا على
+
+75
+00:07:07,330 --> 00:07:13,850
+جذر الأربعة اللي هو بقداش باتنين وهذا بزيرو يبقى
+
+76
+00:07:13,850 --> 00:07:22,590
+الجواب يسوي نص لا يسوي زيرو فبروح بقول هنا by the
+
+77
+00:07:22,590 --> 00:07:31,980
+interim test the series اللي هي مين؟اللي هي
+
+78
+00:07:31,980 --> 00:07:37,560
+summation لل N plus one على ال square root لل
+
+79
+00:07:37,560 --> 00:07:42,420
+أربعة N تربيه زائد تلاتة من N equal one to
+
+80
+00:07:42,420 --> 00:07:49,900
+infinity by their وانتهينا من المثلة هذا السؤال
+
+81
+00:07:49,900 --> 00:07:58,490
+الرابععندنا summation من N equal one to infinity
+
+82
+00:07:58,490 --> 00:08:07,890
+لل N على N ناقص واحد كله to the power N يبدأ
+
+83
+00:08:07,890 --> 00:08:12,390
+باننا نروح ناخد limit لما ال N tends to infinity
+
+84
+00:08:12,390 --> 00:08:20,390
+لل N على N ناقص واحد كله to the power Nلو جينا
+
+85
+00:08:20,390 --> 00:08:26,570
+عوضنا تعويضا مباشرا فصير infinity على infinity وكل
+
+86
+00:08:26,570 --> 00:08:33,210
+نقص infinity هذا الشيء أنا ماعرفهاش لكن تقدر تكتب
+
+87
+00:08:33,210 --> 00:08:39,230
+المسألة بشكل اخر لو جينا جسمنا او كتبنا المسألة
+
+88
+00:08:39,230 --> 00:08:45,650
+بشكل اخر بصير limit لما ان بدها تروح الى infinity
+
+89
+00:08:45,650 --> 00:08:47,590
+تمام؟ ايوة
+
+90
+00:08:50,500 --> 00:08:54,260
+ماشي ماسووناش اشي صار infinity أس infinity على
+
+91
+00:08:54,260 --> 00:09:04,340
+infinity أس infinity لم نأتي من نتيجة هذا
+
+92
+00:09:04,340 --> 00:09:09,440
+لما ناخد لن للطرفين لكن هنا عندنا حل بدون واخد لن
+
+93
+00:09:09,440 --> 00:09:12,500
+انا بلجأ لل لن عندما تتعقد الأمور
+
+94
+00:09:16,400 --> 00:09:19,720
+من كل من ال bus و المقام، ال bus جاهز يبقى باخد N
+
+95
+00:09:19,720 --> 00:09:23,960
+عمل مشترك من المقام أو بيقسم كل من ال bus و المقام
+
+96
+00:09:23,960 --> 00:09:31,060
+علي M تمام؟ يعني كأنه بدأ حط الكثر في شكل جديد، 1
+
+97
+00:09:31,060 --> 00:09:37,180
+علي N ناقص 1 علي Mنفس الكسر اللي فوق، مظبوط؟ إذاً
+
+98
+00:09:37,180 --> 00:09:45,900
+هذا بدي يسوي ال limit لواحد على N جسمنا عليه واحد
+
+99
+00:09:45,900 --> 00:09:51,620
+ناقص واحد على N كله to the power N، الشكل اللي
+
+100
+00:09:51,620 --> 00:09:57,930
+عندنا هذايعني N مع N راحة بقي عندنا واحد على واحد
+
+101
+00:09:57,930 --> 00:10:02,470
+ناقص واحد على N بالشكل اللي عندنا هذا فهذا الكلام
+
+102
+00:10:02,470 --> 00:10:08,790
+بدي يساوي واحد على جداش المقدار هذامن الجدول يبقى
+
+103
+00:10:08,790 --> 00:10:13,050
+هذا رقم خمسة اللي هو جداش E والسالب واحد يبقى E
+
+104
+00:10:13,050 --> 00:10:18,370
+والسالب واحد اللي تساوي E لا تساوي Zero يبقى حد
+
+105
+00:10:18,370 --> 00:10:22,050
+ديه بالك هتمور شغلات عليك كتير بالشكل هذا وجبتلك
+
+106
+00:10:22,050 --> 00:10:25,230
+سؤال زيها في ال sequences مثال اللي كان تلاتة اين
+
+107
+00:10:25,230 --> 00:10:28,610
+زاد واحد على تلاتة اين ناقص واحد كله to the power
+
+108
+00:10:28,610 --> 00:10:34,770
+النفس المفهوم مضبط تمامايبقى باجي بقوله by the
+
+109
+00:10:34,770 --> 00:10:43,490
+infirm test the series summation
+
+110
+00:10:43,490 --> 00:10:46,390
+لمين n equal one
+
+111
+00:10:59,130 --> 00:11:09,450
+سؤال الخامس سؤال الخامس بيقول لي summation من n
+
+112
+00:11:09,450 --> 00:11:16,480
+equal zero to infinityللـ E to the power N ع ال E
+
+113
+00:11:16,480 --> 00:11:23,100
+to the power N زائد ال M وبدنا نروح ناخد ال limit
+
+114
+00:11:23,100 --> 00:11:29,880
+لما ال N tends to infinity لل A M يبقى ده limit
+
+115
+00:11:29,880 --> 00:11:36,140
+لما ال N tends to infinity لل E أس N على ال E أس N
+
+116
+00:11:36,140 --> 00:11:43,480
+زائد Mلو جينا عوّبنا تعويضا مباشرا هيعطينا
+
+117
+00:11:43,480 --> 00:11:48,940
+infinity على infinity يبقى ممكن مشتقة البس على
+
+118
+00:11:48,940 --> 00:11:54,280
+مشتقة النقام او نجسم زي اللي جبل خلينا نجرب نشتق
+
+119
+00:11:54,280 --> 00:12:00,160
+يبقى اي limit لما ال int is to infinity مشتقة ال X
+
+120
+00:12:00,160 --> 00:12:06,070
+بننشل بال X بننشل X في مشتقة اللي اني بجداشلو
+
+121
+00:12:06,070 --> 00:12:11,110
+عوضنا تعويضا مباشرا بيعطينا infinity على infinity
+
+122
+00:12:11,110 --> 00:12:16,770
+بجلبة ال rule كمان مرة limit لما ال n tends to
+
+123
+00:12:16,770 --> 00:12:21,350
+infinity مشتقة ال exponential كما هي ال
+
+124
+00:12:21,350 --> 00:12:27,270
+exponential كما هي مشتقة ال واحد ب zero يبقى هنا
+
+125
+00:12:27,270 --> 00:12:33,450
+لو اختصرنا هذه مع هذه كده بيبقى الوالواحد ماله لا
+
+126
+00:12:33,450 --> 00:12:42,650
+يساوي zero بروح أقوله buy the infirm
+
+127
+00:12:42,650 --> 00:12:46,310
+test the series
+
+128
+00:12:49,210 --> 00:12:57,790
+اللي هي ال summation من N equal 0 to infinity لل E
+
+129
+00:12:57,790 --> 00:13:07,050
+N على U S N زائد N by virtue فبسؤال
+
+130
+00:13:07,050 --> 00:13:13,350
+السادس بسمع واحد بيقول فيش واحدة convergeيقول لك
+
+131
+00:13:13,350 --> 00:13:18,010
+يمكن لكن احنا ال N ثانوي يقيص التباعد ولا يقيص
+
+132
+00:13:18,010 --> 00:13:21,950
+التقارب ممكن الاختبار يفشل و تطلع ال conversion
+
+133
+00:13:21,950 --> 00:13:27,390
+الله علم شو بعرفنا لما نشوف خد كالمثال اللي هو
+
+134
+00:13:27,390 --> 00:13:33,530
+مثال 6 بيقول summation من N equal one to infinity
+
+135
+00:13:33,530 --> 00:13:42,510
+لإن ال N على N زائد واحدبنروح ناخد limit لهذا
+
+136
+00:13:42,510 --> 00:13:48,450
+المقدار يبقى لو جينا أخدنا limit لما ال N tends to
+
+137
+00:13:48,450 --> 00:13:53,350
+infinity لإن ال N على N زائد واحد
+
+138
+00:13:56,830 --> 00:14:02,450
+معها Vip تصريح تدخل تحت الجذور وداخل الأقواص وما
+
+139
+00:14:02,450 --> 00:14:09,590
+إلى ذلك يبقى هذا يبدو يسوى ال lim ل limit N على N
+
+140
+00:14:09,590 --> 00:14:15,510
+زائد واحد لما ال N tends to infinity يسوى ال lim
+
+141
+00:14:15,510 --> 00:14:19,890
+تعاود المباشر بيجيب ل infinity على infinity يبقى
+
+142
+00:14:19,890 --> 00:14:26,350
+مشتقة ال bus على مشتقة المقام بجداجلأن الواحد يبقى
+
+143
+00:14:26,350 --> 00:14:32,970
+كم؟ Zero طيب Zero إذا ال series converged مش
+
+144
+00:14:32,970 --> 00:14:37,570
+عارفين المرة اللي فاتة حاطيناك نظرية بقولك لو كانت
+
+145
+00:14:37,570 --> 00:14:40,550
+converged يبقى ال limit يساوي Zero طب لو كان ال
+
+146
+00:14:40,550 --> 00:14:45,290
+limit يساوي Zero الله أعلم قد تكون converged و قد
+
+147
+00:14:45,290 --> 00:14:49,530
+تكون bivalent يبقى في هذه الحالة اختبار لحد انه
+
+148
+00:14:49,530 --> 00:14:59,220
+ماله بيفشلهيبقى هذا بدي يعطيلك the nth term test
+
+149
+00:14:59,220 --> 00:15:09,240
+fails يبقى فشل طب مادام فشل كيبقى كي تسوي؟ دبر
+
+150
+00:15:09,240 --> 00:15:09,900
+حالك
+
+151
+00:15:14,220 --> 00:15:20,520
+يبقى برنا نروح نبحث عن طريقة أخرى للحكم على هذه ال
+
+152
+00:15:20,520 --> 00:15:28,650
+series هل هي converge او divergeولكن summation من
+
+153
+00:15:28,650 --> 00:15:35,350
+n equal one to infinity لإن ال n على n زائد واحد
+
+154
+00:15:35,350 --> 00:15:41,110
+يساوي summation من n equal one to infinity بدي
+
+155
+00:15:41,110 --> 00:15:47,310
+أحاول أكتب المثل هذه بصيغة أخرى إذا بقدر أقول هذه
+
+156
+00:15:47,310 --> 00:15:55,680
+لإن الباص ناقص لإن المقام شكل أنانيطب التعويض
+
+157
+00:15:55,680 --> 00:16:00,320
+المباشر لو أخدت limitاش بيطيني infinity سالب
+
+158
+00:16:00,320 --> 00:16:04,700
+infinity باعرفهاش هذي باكن هو اتحول الى infinity
+
+159
+00:16:04,700 --> 00:16:08,800
+على infinity او zero على zero طب ما هي كانت محولة
+
+160
+00:16:08,800 --> 00:16:14,480
+و جاهزة من الأول و فشل طب عشان نسوي ندبر حركة نرجع
+
+161
+00:16:14,480 --> 00:16:21,810
+لنفس ال sectionلما هذا الاختبار فشل رجعنا لمين؟ لأ
+
+162
+00:16:21,810 --> 00:16:27,190
+بالبداية كوننا sequence of partial sums ومن خلالها
+
+163
+00:16:27,190 --> 00:16:31,850
+قدرنا نحكم على مين على ال series بقوله كويس اذا
+
+164
+00:16:31,850 --> 00:16:36,310
+انا بدي ارجع لمين ل sequence of partial sums
+
+165
+00:16:36,310 --> 00:16:40,110
+مابديش اكونها من جديد مابدي اخد الحد نوني دغري
+
+166
+00:16:40,110 --> 00:16:50,730
+فبجي بقوله ذاin the term of the sequence of
+
+167
+00:16:50,730 --> 00:16:52,310
+partial
+
+168
+00:16:56,370 --> 00:17:03,610
+نبدأ باستخدام الرمز SN يبقى
+
+169
+00:17:03,610 --> 00:17:12,050
+لن الواحد ناقص لن اتنين لن اتنين ناقص لن تلاتة لن
+
+170
+00:17:12,050 --> 00:17:18,150
+تلاتة ناقص لن اربعة زاد ونظل ماشي لغاية ما نوصل
+
+171
+00:17:18,150 --> 00:17:29,510
+الحد النوني اللي هو لنلن ان ناقص لن ان زائد واحد
+
+172
+00:17:29,510 --> 00:17:34,130
+هذا شكل الحد النوني
+
+173
+00:17:37,770 --> 00:17:43,490
+طيب يبقى بناء عليه ال S N يساوي سالب لن اتنين
+
+174
+00:17:43,490 --> 00:17:48,410
+وموجب لن اتنين سالب لن تلاتة وموجب لن تلاتة سالب
+
+175
+00:17:48,410 --> 00:17:54,870
+لن اربعة وموجب لن اربعة سالب لن ال N وموجب لن ال N
+
+176
+00:17:54,870 --> 00:18:00,330
+مع السلامة اشرا يقول ان الواحد بجدي اشرا اذا انقلت
+
+177
+00:18:00,330 --> 00:18:07,920
+المسألة الى سالب لن ال N زائد واحدبنروح ناخد limit
+
+178
+00:18:07,920 --> 00:18:12,140
+للحد النوني في ال sequence لما ال N tends to
+
+179
+00:18:12,140 --> 00:18:18,220
+infinity يبقى هذا الكلام limit لمين؟ لسالب لإن ال
+
+180
+00:18:18,220 --> 00:18:23,220
+N plus one لما ال N tends to infinity
+
+181
+00:18:27,770 --> 00:18:39,110
+معنى هذا الكلام ان ال sequence of partial sumsاللي
+
+182
+00:18:39,110 --> 00:18:45,310
+هي مين؟ على الشكل سالب لن ال N زائد واحد مالها
+
+183
+00:18:45,310 --> 00:18:51,490
+Diverge مدام Diverge هذا بده يعطينا مين؟ انه the
+
+184
+00:18:51,490 --> 00:18:57,930
+series اللي هي summation لن
+
+185
+00:18:57,930 --> 00:19:04,810
+ال N على N زائد واحد من N equalone to infinity
+
+186
+00:19:04,810 --> 00:19:14,350
+diverge وانتهينا من هذه المسألة اذا
+
+187
+00:19:14,350 --> 00:19:20,290
+اعطيناك الان بدل المثال ستة على كيفية تطبيق ال
+
+188
+00:19:20,290 --> 00:19:22,610
+instagram test
+
+189
+00:19:29,870 --> 00:19:35,890
+لازال في ال section بعض المعلومات البسيطة اول
+
+190
+00:19:35,890 --> 00:19:42,330
+معلومة عبارة عن نظرية theorem النظرية بتقول ما
+
+191
+00:19:42,330 --> 00:19:50,620
+يأتي FSummation على AN بده يساوي ال A and
+
+192
+00:19:50,620 --> 00:20:00,220
+summation على B ان بده يساوي ال B are convergent
+
+193
+00:20:00,960 --> 00:20:10,420
+Series متسلسلتين تقاربيتين then نمرة واحد اللي هو
+
+194
+00:20:10,420 --> 00:20:17,680
+summation على a n زائد او ناقص b n بيسوي summation
+
+195
+00:20:17,680 --> 00:20:25,640
+على a n زائد او ناقص summation على b nيبقى a زائد
+
+196
+00:20:25,640 --> 00:20:35,260
+او ناقص بي هذه is convergent يبقى هذه بتكون
+
+197
+00:20:35,260 --> 00:20:50,960
+تقاربية نمر اتنين if k is a non zero
+
+198
+00:20:53,220 --> 00:21:01,780
+is a non-zero constant is a non-zero constant then
+
+199
+00:21:01,780 --> 00:21:10,960
+summation ل K في ال A N و اللي هو بده يساوي K في
+
+200
+00:21:10,960 --> 00:21:15,740
+ال A is convergent
+
+201
+00:21:29,870 --> 00:21:40,770
+نمر واحد if K is a
+
+202
+00:21:40,770 --> 00:21:45,150
+non-zero constant
+
+203
+00:21:53,700 --> 00:22:06,440
+and summation على an diverge then summation لكفل
+
+204
+00:22:06,440 --> 00:22:10,220
+en diverge كذلك
+
+205
+00:22:13,580 --> 00:22:20,120
+لو كان عندي convergence series زائد او ناقص
+
+206
+00:22:20,120 --> 00:22:26,720
+convergence series الناتج بده يعطينا convergence
+
+207
+00:22:26,720 --> 00:22:35,830
+seriesنمنا لبعدها لو كان convergence series زائد
+
+208
+00:22:35,830 --> 00:22:43,070
+او ناقص divergence series الناتج بده يعطينا
+
+209
+00:22:43,070 --> 00:22:50,930
+divergence series divergence
+
+210
+00:22:50,930 --> 00:22:57,390
+seriesالنقطة التالتة والاخيرة لو كان divergent
+
+211
+00:22:57,390 --> 00:23:04,870
+series زاد او ناقص divergent series الناتج بدي
+
+212
+00:23:04,870 --> 00:23:17,990
+يعطينا may be convergent series or may be
+
+213
+00:23:17,990 --> 00:23:21,750
+divergent series
+
+214
+00:23:29,120 --> 00:23:34,760
+نرجع للنظرية اللى كاتبناها نقرأ و نحاول نشوف شو
+
+215
+00:23:34,760 --> 00:23:39,300
+اللى موجود فيها بقول افترض ان ال summation على a n
+
+216
+00:23:39,300 --> 00:23:44,560
+بده يساوي رقم a و ال summation على b n بده يساوي
+
+217
+00:23:44,560 --> 00:23:50,520
+رقم تاني bيبقى التنتين كانوا convergence series
+
+218
+00:23:50,520 --> 00:23:56,540
+يبقى في مثل هذه الحالة الجمع الجابري لل two series
+
+219
+00:23:56,540 --> 00:24:00,620
+ال summation هيدخل على الأولى و ال summation هيدخل
+
+220
+00:24:00,620 --> 00:24:04,760
+على التانية بيصير convergence زائد او ناقص
+
+221
+00:24:04,760 --> 00:24:09,900
+convergence series يبقى بده يعطيني a زائد او ناقص
+
+222
+00:24:09,900 --> 00:24:14,940
+بيه اعطاني رقم يجه مجموع two convergence seriesهو
+
+223
+00:24:14,940 --> 00:24:20,880
+عبارة عالميا عن convergence series نقطة ثانية لو
+
+224
+00:24:20,880 --> 00:24:26,160
+كانت ال series نفسها convergent وضربناها في مقدار
+
+225
+00:24:26,160 --> 00:24:31,360
+ثابت وده المقدار غير ال zero يبقى في هذه الحالة
+
+226
+00:24:31,360 --> 00:24:34,320
+بتظل هي convergence series
+
+227
+00:24:48,430 --> 00:24:51,630
+النقطة الأخيرة في النظرية و النقطة الأولى في ال
+
+228
+00:24:51,630 --> 00:24:59,150
+remark نوجز ذلك في ما يليالسيريز هذه ان كانت
+
+229
+00:24:59,150 --> 00:25:05,290
+converge او diverge وضربتها في مقدار ثابت المقدار
+
+230
+00:25:05,290 --> 00:25:10,830
+الثابت هذا نص تلت ربع خمسمية مليون قد ما يكون اي
+
+231
+00:25:10,830 --> 00:25:15,230
+number positive ولا حتى negative المهم مايكون مش
+
+232
+00:25:15,230 --> 00:25:19,850
+zeroيبقى اللى كانت converge لما ضفها في هذا الرقم
+
+233
+00:25:19,850 --> 00:25:23,650
+بدها تبقى converge اللى كانت diverge وضربتها في
+
+234
+00:25:23,650 --> 00:25:28,750
+هذا الرقم برضه تبقى diverge كما هي يعني بالبلد هيك
+
+235
+00:25:28,750 --> 00:25:35,470
+اختصارا نقول ضرب ال series في رقم غير الصفر لا
+
+236
+00:25:35,470 --> 00:25:39,090
+يغير من ال convergence او ال divergence تبع ال
+
+237
+00:25:39,090 --> 00:25:42,720
+series اللى بتبقى converge بتبقى convergeواللي
+
+238
+00:25:42,720 --> 00:25:48,280
+كانت diverse بيبقالها diverse كما هي مافيش تغيير
+
+239
+00:25:48,280 --> 00:25:52,940
+طيب لو عندنا جامع احنا اخدنا هنا جامع ل two
+
+240
+00:25:52,940 --> 00:25:57,200
+convergence يبقى روحت حطيته النقطة الأولى
+
+241
+00:25:57,200 --> 00:26:00,580
+convergence زائد او ناقص convergence series
+
+242
+00:26:00,580 --> 00:26:06,020
+بيعطينا convergenceطيب convergence series زاد او
+
+243
+00:26:06,020 --> 00:26:09,880
+ناقص divergence series بيعطينا مين؟ divergence
+
+244
+00:26:09,880 --> 00:26:14,240
+series divergence series زاد او ناقص divergence
+
+245
+00:26:14,240 --> 00:26:19,460
+series بيعطينا series جديدة قد تكون converge وقد
+
+246
+00:26:19,460 --> 00:26:26,640
+تكون diverge الاحتمالان قائمانسأعطيك مثال بعد قليل
+
+247
+00:26:26,640 --> 00:26:32,420
+يوضح هذه الشيء، السؤال هو هؤلاء التلاتة هل يختلفوا
+
+248
+00:26:32,420 --> 00:26:37,900
+عن الـimproper integrals؟ مافيش في أي تغيير تماما،
+
+249
+00:26:37,900 --> 00:26:41,660
+نفس المفهوم اللي كان في حالة الـtwo improper
+
+250
+00:26:41,660 --> 00:26:46,760
+integrals هو نفسه في حالة الـtwo convergent أو
+
+251
+00:26:46,760 --> 00:26:52,870
+الـdivergent series نعطيك مثال توضحيللشيء اللى
+
+252
+00:26:52,870 --> 00:26:57,070
+اللى قاعد بدور فى دماغك شو اللى بدور فى دماغك ان
+
+253
+00:26:57,070 --> 00:27:00,670
+لو عندي divergence series وعندي divergence series
+
+254
+00:27:00,670 --> 00:27:03,910
+مجموعة ميساوي divergence بيقول معقول اه بتخش دماغك
+
+255
+00:27:03,910 --> 00:27:07,410
+دغري لإن infinity زاد infinity تساوي infinity اذا
+
+256
+00:27:07,410 --> 00:27:11,530
+ن divergence ماشي الحانة طيب لكن لو diverse وعندي
+
+257
+00:27:11,530 --> 00:27:15,870
+تانية diverse هل يُعقل انها تكون converge الاجابة
+
+258
+00:27:15,870 --> 00:27:20,250
+نعم وإليك المثال التالى يبقى example
+
+259
+00:27:45,620 --> 00:27:55,360
+والثاني والثالث والرابع والخامس واحد زائد إلى آخرى
+
+260
+00:28:05,590 --> 00:28:09,730
+السؤال هو هل هذه converged series ولا diverse
+
+261
+00:28:09,730 --> 00:28:15,940
+series؟is it
+
+262
+00:28:15,940 --> 00:28:20,820
+geometric series؟ هل هذه هي geometric series؟ نعم
+
+263
+00:28:20,820 --> 00:28:25,480
+لأن اجسم أي حد على الحد السابق له بيطلع يبجهين
+
+264
+00:28:25,480 --> 00:28:31,280
+الأساس بواحد وال ratio بواحد مش هيقول يبجه هذه
+
+265
+00:28:31,280 --> 00:28:36,600
+diverse geometric series يبجه هذه diverse
+
+266
+00:28:36,600 --> 00:28:41,040
+geometric series because
+
+267
+00:28:43,360 --> 00:28:47,820
+يبقى دا if summation then او diverse geometric
+
+268
+00:28:47,820 --> 00:28:53,300
+series because absolute value لR بده يسوى الواحد
+
+269
+00:28:53,300 --> 00:29:02,380
+طيب خدلي ال series التانية and if summation من N
+
+270
+00:29:02,380 --> 00:29:08,560
+equal one to infinity لمين لسالب واحد to the power
+
+271
+00:29:08,560 --> 00:29:14,680
+two N minus ال one يساويمن يعرف يقول الحد الأول
+
+272
+00:29:14,680 --> 00:29:22,680
+قداش؟ كله Zero كله Zero؟ ثالث واحد ثالث واحد
+
+273
+00:29:25,800 --> 00:29:31,640
+والثالث والرابع السبب ان الأس فردي هذا الأس زوجي
+
+274
+00:29:31,640 --> 00:29:36,240
+فكله بالموجة هذا الأس دائما و أبدا مهما تحط ال N
+
+275
+00:29:36,240 --> 00:29:42,420
+بطلع فردي يبقى هذا بدي يعطيني واحد سالب واحد زائد
+
+276
+00:29:42,420 --> 00:29:48,200
+سالب واحد زائد سالب واحد زائد سالب واحد زائد زائد
+
+277
+00:29:48,200 --> 00:29:54,640
+سالب واحد زائد إلى ما شاء اللهطيب كمان هذه دايفير
+
+278
+00:29:54,640 --> 00:30:04,620
+جيومتريك سيريز السبب because absolute value ل R
+
+279
+00:30:04,620 --> 00:30:10,860
+يسوي كده اكيد اقسم سالب واحد او سالب واحد بواحد
+
+280
+00:30:10,860 --> 00:30:15,540
+بالموجة مش بسالب واحديبقى سالب واحد على سالب واحد
+
+281
+00:30:15,540 --> 00:30:22,820
+بواحد يبقى الحد الأول سالب واحد والأساس واحد صحيح
+
+282
+00:30:22,820 --> 00:30:27,000
+طب التنتين هدول by their يبقى if summation يساوي
+
+283
+00:30:27,000 --> 00:30:29,540
+كذا by their والتاني ال summation هذه يساوي by
+
+284
+00:30:29,540 --> 00:30:34,960
+their thenأيش رأيك بدي أجمع التنتين مع بعض يبقى
+
+285
+00:30:34,960 --> 00:30:40,100
+بداجي summation من n equal one to infinity لناقص
+
+286
+00:30:40,100 --> 00:30:44,600
+واحد to the power two n minus one زائد summation
+
+287
+00:30:44,600 --> 00:30:53,200
+من n equal one to infinity لمين لسالب واحد ولا
+
+288
+00:30:53,200 --> 00:30:57,720
+خليها اتنين n زي ما في الأول وهذه اتنين n ناقص
+
+289
+00:30:57,720 --> 00:31:03,060
+واحد تعالوا نجمعبنشوف قداش بيعطينا كل answer مع
+
+290
+00:31:03,060 --> 00:31:09,780
+نظيره قداش Zero زائد Zero زائد Zero زائد Zero زائد
+
+291
+00:31:09,780 --> 00:31:09,980
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+292
+00:31:09,980 --> 00:31:10,060
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+293
+00:31:10,060 --> 00:31:10,540
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+294
+00:31:10,540 --> 00:31:10,920
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+295
+00:31:10,920 --> 00:31:10,940
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+296
+00:31:10,940 --> 00:31:10,940
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+297
+00:31:10,940 --> 00:31:10,940
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+298
+00:31:10,940 --> 00:31:10,940
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+299
+00:31:10,940 --> 00:31:10,940
+Zero زائد Zero زائد Zero زائد Zero زائد Zero زائد
+
+300
+00:31:10,940 --> 00:31:22,040
+Zero زائد
+
+301
+00:31:22,040 --> 00:31:24,960
+Zero
+
+302
+00:31:31,720 --> 00:31:36,080
+وامر 0 على 0 بده يساوي قيمة وهذه undefined يبقى
+
+303
+00:31:36,080 --> 00:31:40,120
+هذه ليست جيومتريكس سيريز لكن الجامعة تبعها أعطاني
+
+304
+00:31:40,120 --> 00:31:44,920
+zero يبقى هذه convergence series يبقى هذا مثال ل
+
+305
+00:31:44,920 --> 00:31:48,000
+two divergence series يعطاني main اللي هو
+
+306
+00:31:48,000 --> 00:31:53,740
+convergence series طيب بدنا نيجي الأن لمثال على
+
+307
+00:31:53,740 --> 00:31:55,800
+هذا الكلام example
+
+308
+00:32:00,880 --> 00:32:15,540
+بقول ا discuss ناقش لي the convergence of
+
+309
+00:32:15,540 --> 00:32:18,980
+the
+
+310
+00:32:18,980 --> 00:32:24,120
+following series
+
+311
+00:32:24,120 --> 00:32:28,940
+if the
+
+312
+00:32:28,940 --> 00:32:29,500
+series
+
+313
+00:32:32,220 --> 00:32:40,080
+converge find its sum بد
+
+314
+00:32:40,080 --> 00:32:44,740
+ما جداش المجموعة تبعها
+
+315
+00:33:01,170 --> 00:33:10,510
+نمر a summation من n equal zero to infinity لخمسة
+
+316
+00:33:10,510 --> 00:33:19,710
+على اتنين to the power n ناقص واحد
+
+317
+00:33:19,710 --> 00:33:28,190
+على تلاتة to the power n يبقى
+
+318
+00:33:28,190 --> 00:33:34,970
+هذه بقدر اقول يساويممكن احطها على شكل فرق ما بين
+
+319
+00:33:34,970 --> 00:33:41,130
+two series يبقى هذه ال summation من N equal zero
+
+320
+00:33:41,130 --> 00:33:47,450
+to infinity هذه الخمسة بقدر اكتبها نص to the power
+
+321
+00:33:47,450 --> 00:33:55,030
+N ناقص summation من N equal zero to infinity لواحد
+
+322
+00:33:55,030 --> 00:34:02,250
+على تلاتة to the power Nوالله علينا كويس هل هذه
+
+323
+00:34:02,250 --> 00:34:08,430
+Geometric Series؟ لأ لأ يبقى هذه convert لأن ال
+
+324
+00:34:08,430 --> 00:34:13,450
+ratio تبعها يسوى نص أقل من الواحد الصحيح يبقى هذه
+
+325
+00:34:13,450 --> 00:34:21,430
+convert Geometric Series السبب because ان absolute
+
+326
+00:34:21,430 --> 00:34:26,790
+value لR يسوى نص أقل من الواحد الصحيح نجي لل
+
+327
+00:34:26,790 --> 00:34:33,020
+series التاني هذهبرضه convert geometric series
+
+328
+00:34:33,020 --> 00:34:40,740
+السبب ان absolute value ل R يسوى تلت اقل من الواحد
+
+329
+00:34:40,740 --> 00:34:45,320
+الصحيح مادام ناقص converge يبقى ال series اللي
+
+330
+00:34:45,320 --> 00:34:47,680
+قمناها دي مالها convert
+
+331
+00:34:57,510 --> 00:35:05,770
+يبقى هنا sum from n equals zero to infinity لخمسة
+
+332
+00:35:05,770 --> 00:35:11,330
+على اتنين to the power of n ناقص واحد على تلتة to
+
+333
+00:35:11,330 --> 00:35:12,590
+the power of n
+
+334
+00:35:19,200 --> 00:35:27,120
+بدو يساوي S وحد ناقص S اتنين يبقى ال S عندنا بدنا
+
+335
+00:35:27,120 --> 00:35:31,640
+نجي نجمع ال series الأولى الحد الأول في ال series
+
+336
+00:35:31,640 --> 00:35:39,880
+الأولى كدهش؟ خمسة على واحد ناقص الأساسي اللي هو نص
+
+337
+00:35:39,880 --> 00:35:45,260
+ناقص الحد الأول في ال series اللي عندنا هنا كدهش؟
+
+338
+00:35:46,130 --> 00:35:56,070
+واحد على واحد ناقص تلت ويساوي الان هذا خمسة على نص
+
+339
+00:35:56,070 --> 00:36:05,590
+وهنا ناقص واحد على تلتينواحد ناقص تلت يساوي تلتين
+
+340
+00:36:05,590 --> 00:36:13,770
+يعني عشرة ناقص تلاتة على اتنين يبقى هنا هذا الكلام
+
+341
+00:36:13,770 --> 00:36:20,130
+بده يساوي بالمرة عشرة أشيل منها واحد و نص بصير
+
+342
+00:36:20,130 --> 00:36:26,110
+تمانية و نص يعني السبعتاشر على اتنين مجموع ال
+
+343
+00:36:26,110 --> 00:36:37,290
+series نمرى بيهبيقول لي summation من N equal zero
+
+344
+00:36:37,290 --> 00:36:46,130
+to infinity لمن؟ لل E على N to the power N E على
+
+345
+00:36:46,130 --> 00:36:56,990
+باي to the power N زائد E N على من على N زائد تلت
+
+346
+00:36:58,030 --> 00:37:03,990
+بنجي نشوف هل ال series هذي converge و لا diverge
+
+347
+00:37:03,990 --> 00:37:08,910
+فالعوني
+
+348
+00:37:08,910 --> 00:37:13,210
+في كل series على حده مشان نشوف كيف بنحكم على كل
+
+349
+00:37:13,210 --> 00:37:24,770
+واحدة فيهم هل هي converge ام diverge نجي
+
+350
+00:37:24,770 --> 00:37:26,110
+لل series الأولانية
+
+351
+00:37:28,830 --> 00:37:33,650
+أيش رأيك فيها هذي convert ولا diverge convert لإنه
+
+352
+00:37:33,650 --> 00:37:37,690
+E على باي اتنين وسبعة من عشر اتل اتو اربتاشر من
+
+353
+00:37:37,690 --> 00:37:43,650
+مية كسر اقل من الواحد الصحيح اذا هذي converge
+
+354
+00:37:43,650 --> 00:37:51,470
+geometric series السبب because انه absolute value
+
+355
+00:37:51,470 --> 00:37:57,430
+ل R يسوى E على باي يعني اتنين وسبعة من عشرة تقريبا
+
+356
+00:37:57,620 --> 00:38:02,700
+على تلاتة واربعتاشر من مية تقريبا اقل من الواحد
+
+357
+00:38:02,700 --> 00:38:03,380
+الصحية
+
+358
+00:38:09,800 --> 00:38:14,520
+لأ يبقى بتروح اشوف هل هذي Convergent ولا Divergent
+
+359
+00:38:14,520 --> 00:38:19,780
+بروح اذا بدي اخد ال N's term test هي اللي عندى
+
+360
+00:38:19,780 --> 00:38:24,680
+المتوفر يبقى باخد limit لما ال N tends to infinity
+
+361
+00:38:24,680 --> 00:38:31,470
+لل EOS N على N زائد تلاتةتعويض المباشر بتجيب لي
+
+362
+00:38:31,470 --> 00:38:36,510
+infinity على infinity بقدر استخدم قاعدة lobital هي
+
+363
+00:38:36,510 --> 00:38:42,950
+بجادي limit لما ال n tends to infinity لمن ل ال E
+
+364
+00:38:42,950 --> 00:38:49,240
+أس ان على واحدEOS Infinity يبقى درجة يبقى ال
+
+365
+00:38:49,240 --> 00:38:53,500
+series اللي عملها دي مالها divers يبقى sum
+
+366
+00:38:53,500 --> 00:39:00,860
+summation لل EOS N على N زائد تلاتة divers اذا مش
+
+367
+00:39:00,860 --> 00:39:06,980
+اللي حصل عندى صار عندنا الأولى convergeوالتانية
+
+368
+00:39:06,980 --> 00:39:14,500
+Diverge يبقى نتيجة كده؟ يبقى Summation من N equal
+
+369
+00:39:14,500 --> 00:39:21,640
+zero to infinity لل E على Pi to the power N زائد E
+
+370
+00:39:21,640 --> 00:39:28,500
+أس N على N زائد تلاتة Diverge series
+
+371
+00:39:35,120 --> 00:39:42,800
+عشان اعطيكم الملاحظة يبقى remark adding
+
+372
+00:39:42,800 --> 00:39:45,980
+or
+
+373
+00:39:45,980 --> 00:39:53,540
+deleting a
+
+374
+00:39:53,540 --> 00:39:54,960
+finite number
+
+375
+00:40:02,320 --> 00:40:06,000
+معدل عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+376
+00:40:06,000 --> 00:40:11,100
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+377
+00:40:11,100 --> 00:40:13,080
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+378
+00:40:13,080 --> 00:40:14,660
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+379
+00:40:14,660 --> 00:40:17,860
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+380
+00:40:17,860 --> 00:40:22,160
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+381
+00:40:22,160 --> 00:40:25,960
+عدد
+
+382
+00:40:25,960 --> 00:40:28,020
+عدد عد
+
+383
+00:40:32,320 --> 00:40:39,100
+او مختلفة مختلفة
+
+384
+00:40:39,100 --> 00:40:43,060
+من السلسلة
+
+385
+00:41:19,460 --> 00:41:25,880
+adding or diluting above it او شطب عدد محدود من
+
+386
+00:41:25,880 --> 00:41:30,940
+حدود ال series لا يؤثر على ال convergence ولا على
+
+387
+00:41:30,940 --> 00:41:35,700
+ال divergence لمن؟ لل series يعني افترض انا عندي
+
+388
+00:41:35,700 --> 00:41:40,740
+series summation من n equal one to infinity لل a n
+
+389
+00:41:40,740 --> 00:41:46,060
+شطبت ان شاء الله يكون خمسمية حد منها مرة واحدة
+
+390
+00:41:46,060 --> 00:41:51,650
+واهملتهميبقى بدي ابدا من عند رقم خمسمية واحد إلى
+
+391
+00:41:51,650 --> 00:41:55,370
+infinity إذا ال series الأصلية converged يبقى
+
+392
+00:41:55,370 --> 00:41:58,570
+الجديدة converged وإذا الأصلية diverged يبقى
+
+393
+00:41:58,570 --> 00:42:03,790
+الجديدة diverged كذلك طب افترض انه أنت عندك
+
+394
+00:42:03,790 --> 00:42:08,450
+summation من عند انت ساوي مية إلى infinity كانت
+
+395
+00:42:08,450 --> 00:42:14,070
+convergedأو Diverge ورحت ابتديت من عند N تساوي
+
+396
+00:42:14,070 --> 00:42:19,270
+Zero ل Infinity يعني كأنه أضافت كدهش تسعة وتسعين
+
+397
+00:42:19,270 --> 00:42:23,710
+حد مظبوط هذا لا يؤثر على ال convergence ولا على ال
+
+398
+00:42:23,710 --> 00:42:27,370
+divergence يعني إذا الأصلية كانت converge يبقى
+
+399
+00:42:27,370 --> 00:42:30,330
+الجديدة converge وإذا الأصلية Diverge يبقى الجديدة
+
+400
+00:42:30,330 --> 00:42:36,110
+كذلك Diverge فقولنا that is a n نمرة واحد if
+
+401
+00:42:36,110 --> 00:42:42,460
+summationمن n equal one to infinity لل a n
+
+402
+00:42:42,460 --> 00:42:52,100
+converge or diverge هدى او هدى then summation من n
+
+403
+00:42:52,100 --> 00:42:58,240
+تسوى خمسمية زي ما قلنا إلى infinity لل a n برضه
+
+404
+00:42:58,240 --> 00:43:04,140
+converge or diverge اللي كانت converge بتبقى ال
+
+405
+00:43:04,140 --> 00:43:07,500
+converge و اللي كانت diverge بتبقى ال diverge نمري
+
+406
+00:43:07,500 --> 00:43:15,650
+اتنينif summation من N equal 100 to infinity للـAM
+
+407
+00:43:15,650 --> 00:43:25,470
+converge or diverge then summation من N equal 0 to
+
+408
+00:43:25,470 --> 00:43:33,450
+infinity للـAN converge or diverge يبقى في الأول
+
+409
+00:43:33,450 --> 00:43:40,680
+طرحنا اللي هو 499 حدواهملناهم واخدنا ال series
+
+410
+00:43:40,680 --> 00:43:46,220
+لبعدها هنا بدأنا من عند المية لجتة converge او
+
+411
+00:43:46,220 --> 00:43:51,620
+كانت diverse قمت اضفتلها كمان تسعة وتسعين حد او
+
+412
+00:43:51,620 --> 00:43:55,760
+ميت حد لان بدأت من عند ال n تساوي zero اضفتلها ميت
+
+413
+00:43:55,760 --> 00:43:59,300
+حد يبقى اذا الأصلية converge يبقى الجديدة converge
+
+414
+00:43:59,300 --> 00:44:04,000
+واذا الجديدة اذا الأصلية diverge يبقى الجديدة كذلك
+
+415
+00:44:04,000 --> 00:44:08,250
+divergeطب ايش دخل هذا الموضوع؟ اه بنقولك هذا
+
+416
+00:44:08,250 --> 00:44:15,090
+الكلام له ما بعده في ال sections القادمة طب في
+
+417
+00:44:15,090 --> 00:44:20,190
+حاجة شرطلها برضه في هذا section قبل قبل ذلك في
+
+418
+00:44:20,190 --> 00:44:24,350
+المحاضرة الماضية وهي تغيير الدليل اللي تحت ال
+
+419
+00:44:24,350 --> 00:44:30,130
+summation يبقى في عندنا حاجة بنسميها reindexing
+
+420
+00:44:37,300 --> 00:44:44,280
+عادة تغيير الدليل لتحت ال summation تمام؟ ايش
+
+421
+00:44:44,280 --> 00:44:51,500
+تغيير الدليل لتحت ال summation؟ طلعلي كويس هنا بجي
+
+422
+00:44:51,500 --> 00:44:56,620
+بقوله لو كان عندي ال summation من n equal zero to
+
+423
+00:44:56,620 --> 00:45:02,300
+infinity او من عند n تساوي واحد الى infinity لل a
+
+424
+00:45:02,300 --> 00:45:08,680
+أرقص n ناقص واحدبدل ما كانت بالشكل هذا ال N بادئ
+
+425
+00:45:08,680 --> 00:45:15,020
+من وين؟ من عند ال واحد لو جيت شيلت كل N وحطيت
+
+426
+00:45:15,020 --> 00:45:21,840
+مكانها N زائد واحد تساوية واحد إلى انفينيتي A أرقص
+
+427
+00:45:21,840 --> 00:45:28,280
+N زائد واحد ناقص واحد بالشكل هذا يبقى شيلت كل N
+
+428
+00:45:28,280 --> 00:45:34,100
+وحطيت مكانها ايه؟ن زائد واحد يبقى هذه هتساوي ال
+
+429
+00:45:34,100 --> 00:45:38,740
+summation هتل الواحد هنا بيجي بشرة مخالفة بصير من
+
+430
+00:45:38,740 --> 00:45:46,610
+عند n تساوي zero الى infinity لل A R أس Nيبقى ايش
+
+431
+00:45:46,610 --> 00:45:51,990
+اللي حصل ال index بدل ما كان واحد خلته اين؟ خلته
+
+432
+00:45:51,990 --> 00:45:57,550
+zero طب بده لو طلعته اكتر من ذلك يبقى باجي بقوله
+
+433
+00:45:57,550 --> 00:46:02,970
+ال summation and ال summation من n equal one to
+
+434
+00:46:02,970 --> 00:46:08,270
+infinity لل a أرقص n ناقص واحد يسوى ال summation
+
+435
+00:46:08,860 --> 00:46:14,940
+بدل ما حطيت n زاد واحد بده احط n ناقص اربعة تساوي
+
+436
+00:46:14,940 --> 00:46:23,000
+واحد الى infinity يبقى هذا ar أس n ناقص اربعة ناقص
+
+437
+00:46:23,000 --> 00:46:28,490
+واحديعني هذا بيصير ال summation من عند N تساوي
+
+438
+00:46:28,490 --> 00:46:37,070
+خمسة إلى infinity لل A أرقص N ناقص خمسة شو رأيك؟
+
+439
+00:46:37,070 --> 00:46:42,650
+هل هدول التلاتة بيختلفوا عن بعض؟ والله هما هما
+
+440
+00:46:42,650 --> 00:46:47,570
+تعالى نشوف، بدأ امسك من؟ الأول اللي عندنا هذا، بدأ
+
+441
+00:46:47,570 --> 00:46:55,480
+أحط N بواحد، بيصير هذا كله بجداشR0 ب1 في A يبقى بA
+
+442
+00:46:57,250 --> 00:47:05,490
+ار تربيع
+
+443
+00:47:05,490 --> 00:47:16,130
+ار تكيب ار تربيع
+
+444
+00:47:16,130 --> 00:47:18,930
+ار تركيب ار تركيب ار تركيب ار تركيب ار تركيب ار
+
+445
+00:47:18,930 --> 00:47:23,330
+تركيب ار تركيب ار تركيب ار تركيب ار تركيب ار تركيب
+
+446
+00:47:23,330 --> 00:47:23,330
+ار تركيب ار تركيب ار تركيب ار تركيب ار تركيب ار
+
+447
+00:47:23,330 --> 00:47:23,330
+تركيب ار تركيب ار تركيب ار تركيب ار تركيب ار تركيب
+
+448
+00:47:23,330 --> 00:47:23,330
+ار تركيب ار تركيب ار تركيب ار تركيب ار تركيب ار
+
+449
+00:47:23,330 --> 00:47:23,350
+تركيب ار تركيب ار تركيب ار تركيب ار تركيب ار تركيب
+
+450
+00:47:23,350 --> 00:47:23,450
+ار تركيب ار ت
+
+451
+00:47:30,660 --> 00:47:37,800
+طيب بسكلي هذه ان تسوى خمسةيبقى حط ان بخمسة بصير ar
+
+452
+00:47:37,800 --> 00:47:45,580
+أس زيرو اللي بيبقى داشر a حط ستة ar هي حط سبعة ar
+
+453
+00:47:45,580 --> 00:47:50,920
+تربيع يبقى صار كل هذه اللي يبدأ تساوي ال summation
+
+454
+00:47:50,920 --> 00:47:53,820
+من n equal zero to infinity
+
+455
+00:48:13,720 --> 00:48:20,950
+يبقى هذا اللي بنسميه reindexingإعادة صياغة الدليل
+
+456
+00:48:20,950 --> 00:48:27,490
+لتحت ال summation دون أن نغير من قيمة ال series
+
+457
+00:48:27,490 --> 00:48:31,930
+طبعا لأول واحدة لو قبل ما نحكي لك الكلام هذا و
+
+458
+00:48:31,930 --> 00:48:36,370
+سالنا كواحدة، تنتين، تلاتة، تقولي ولا واحدة زي
+
+459
+00:48:36,370 --> 00:48:42,540
+التانيةشكلا بيسويش بعض ليش ال index اللي تحت صحيح
+
+460
+00:48:42,540 --> 00:48:46,060
+اللي فوق infinity لهم كلهم بس ال index اللي تحت ال
+
+461
+00:48:46,060 --> 00:48:51,620
+summation يختلف من series إلى أخرى نهيك عن شكل
+
+462
+00:48:51,620 --> 00:48:56,700
+الحد النوني يختلف من واحدة إلى أخرى لكن لو جينا
+
+463
+00:48:56,700 --> 00:49:02,520
+نحسبهم عمليا بلاج التلاتة كله ايه كله زي بعض وبناء
+
+464
+00:49:02,520 --> 00:49:02,980
+عليه
+
+465
+00:49:09,740 --> 00:49:15,520
+يبقى إعادة تغيير الدليل اللي تحت ال summation ممكن
+
+466
+00:49:15,520 --> 00:49:23,840
+بدون مشاكلاهمال عدد محدود من حدود ال series لا
+
+467
+00:49:23,840 --> 00:49:28,860
+يغير لا ال convergence ولا ال divergence ابعثة عدد
+
+468
+00:49:28,860 --> 00:49:32,660
+محدود من حدود ال series لا يغير ال convergence ولا
+
+469
+00:49:32,660 --> 00:49:40,240
+ال divergence شكلا
+
+470
+00:49:40,240 --> 00:49:46,180
+شكلا لكن عمليا وين
+
+471
+00:49:46,180 --> 00:49:55,760
+هو؟هدي يعني و هدي؟ هدي
+
+472
+00:49:55,760 --> 00:50:01,600
+و الله هدي اي واحدة منهم summation هدي convert لو
+
+473
+00:50:01,600 --> 00:50:05,720
+كانت convert روحت اهملت اربعمية وتسعة وتسعين حد
+
+474
+00:50:05,720 --> 00:50:11,220
+منهاماشي و تزعلال؟ لأ، اين؟ لكن عندك تعويض بيكون
+
+475
+00:50:11,220 --> 00:50:18,440
+a500 هذا، هذا بيكون a1 وهذا بيكون a500، a500 هو
+
+476
+00:50:18,440 --> 00:50:21,940
+الحد الأول في ال series الجديدة، يختلف عن الحد
+
+477
+00:50:21,940 --> 00:50:26,370
+الأول في ال series الأصليةتمام؟ هذا لو بدأت من عند
+
+478
+00:50:26,370 --> 00:50:30,570
+المية بيكون A مية هو الحد الأول في ال series
+
+479
+00:50:30,570 --> 00:50:35,570
+العصرية هنا A ناد هو الحد الأول في ال series
+
+480
+00:50:35,570 --> 00:50:42,570
+العصرية اذا تنتين مختلفتين عن بعض تماما كويس؟ يبقى
+
+481
+00:50:42,570 --> 00:50:46,130
+هذه اللحظة اللي قلت لحد هنا انتهى هذا ال section
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/AXNE42XetEo.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/AXNE42XetEo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a2d594eaf968393d24cf57a43bb6d64a9176bcf9
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/AXNE42XetEo.srt
@@ -0,0 +1,1631 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:12,570 --> 00:00:17,730
+بنرجع بالذاكرة إلى الوراء للمحاضرة الماضية هاتلي 
+
+3
+00:00:17,730 --> 00:00:25,990
+قيمة X التي تحقق هذه المعادلة تمام بيقول له كويس
+
+4
+00:00:25,990 --> 00:00:32,050
+ببطل في المثل هذه المشكلة
+
+5
+00:00:32,050 --> 00:00:38,320
+عند هذه يبقى هذا اللي حصل ضرب قيمتين أحد القيمتين
+
+6
+00:00:38,320 --> 00:00:43,480
+هي القيمة اللي موجودة عند الانوان شجرة ثانية، إذا 
+
+7
+00:00:43,480 --> 00:00:50,380
+هذه لو جيتها حلقة تالية بقول len 2x زائد 1
+
+8
+00:00:50,380 --> 00:00:56,280
+زائد len الـ X زائد 2، من وين جبت المعلومة هذه؟
+
+9
+00:00:57,050 --> 00:01:00,990
+من الخواص اللي عملناها المرة اللي فاتت قلنا هذه
+
+10
+00:01:00,990 --> 00:01:06,530
+الخاصية في أربع نقاط حصل الضرب القسمة 1 على X
+
+11
+00:01:06,530 --> 00:01:10,150
+X to the power n تاخده للن يبقى هذه الأربع نقاط
+
+12
+00:01:10,150 --> 00:01:16,090
+اللي كانوا في هذه الخاصية يبقى هذا الكلام بده يساوي
+
+13
+00:01:16,090 --> 00:01:22,810
+2 لن الـ X زائد 2 يبقى أنا بطلع المقدار اللي
+
+14
+00:01:22,810 --> 00:01:28,070
+أنا هبقى يقول المقدار هذا من نفس الـ form يبقى هذا
+
+15
+00:01:28,070 --> 00:01:33,490
+بدي أعطيك main اللي هو لين 2x زائد 1
+
+16
+00:01:33,490 --> 00:01:37,990
+يساوي هذه لو قلت على الشجرة ثانية بتجيك بإشارة من
+
+17
+00:01:37,990 --> 00:01:44,200
+بإشارة سالب بقولها انك ادهشاللي هو 2 لن الـ X
+
+18
+00:01:44,200 --> 00:01:53,340
+زائد 2 ناقص لن الـ X زائد 2 يبقى بناء عليه
+
+19
+00:01:53,340 --> 00:02:01,960
+أصبح عندي لن لن X زائد 1 بده يساوي طبعاً أمامي
+
+20
+00:02:01,960 --> 00:02:11,960
+بدأت طريقة لين لتبسيط الطرف الأيمن 2 لن الـ X و لن X
+
+21
+00:02:11,960 --> 00:02:18,060
+زي 2 و لن X زي 2 واحدة بيظل عندي قد إيش لن X زي 2
+
+22
+00:02:18,060 --> 00:02:22,580
+هذا لو استخدمت الجامعة مضطرة تمام؟ 1 أكتر مني
+
+23
+00:02:22,580 --> 00:02:27,570
+قال لأ استنى بدي أرجع للخواص بيقول له كيف؟ جاله لن X
+
+24
+00:02:27,570 --> 00:02:32,010
+زائد 2 لكل تربيع بنقول له ماشي وهذه ناقص لن
+
+25
+00:02:32,010 --> 00:02:38,370
+بيصير لن ناقص لن تعني لن خارج القسمة يعني لن X
+
+26
+00:02:38,370 --> 00:02:43,890
+زائد 2 لكل تربيع على X زائد 2 وبنختصر بدون
+
+27
+00:02:43,890 --> 00:02:47,570
+لن X زائد 2، مظبوط ولا لا؟ بنقول له والله 
+
+28
+00:02:47,570 --> 00:02:51,600
+كلامك صح، هذه صحيحة وهذه صحيحة يعني اللي يعمل الخطوة
+
+29
+00:02:51,600 --> 00:02:55,960
+الأولى صح و اللي يعمل الخطوة الثانية صح يبقى بناء
+
+30
+00:02:55,960 --> 00:03:03,320
+عليه بدي يصير عندنا مين هذه الـ N X زائد 2 طيب
+
+31
+00:03:03,320 --> 00:03:11,030
+سؤال الآن احنا أثبتنا أن الـ M هذا اللي هو one to
+
+32
+00:03:11,030 --> 00:03:16,030
+one function ده لا increasing ثبتناه المرة الماضية
+
+33
+00:03:16,030 --> 00:03:21,390
+يبقى one to one مظبوط أو لا؟ مدام one to one إذا
+
+34
+00:03:21,390 --> 00:03:26,450
+كان عندي صورتين متساويتين يبقى الأصل اللي لازم
+
+35
+00:03:26,450 --> 00:03:31,300
+يكون معه متساوي لأن الـ end is one to one يبقى هذا
+
+36
+00:03:31,300 --> 00:03:40,580
+بدي أخبرك أن 2x زائد 1 يساوي الـ x زائد 2 لأن الـ x
+
+37
+00:03:40,580 --> 00:03:47,000
+هو 1 to 1 طيب، بناءً عليه، حاسينا أن هنا x يساوي 
+
+38
+00:03:47,000 --> 00:03:54,040
+كم؟ يساوي 1، إذن x تساوي 1 هي التي تحقق المعادلة 
+
+39
+00:03:54,040 --> 00:04:01,530
+اللي أمامنا، بدنا نروح للمثال رقم 5 رقم خمسة بيقول
+
+40
+00:04:01,530 --> 00:04:11,730
+find y prime for each of the following يعني بدنا 
+
+41
+00:04:11,730 --> 00:04:21,950
+مشتقة كل مما يأتي نمرة 1 y تساوي x الجذر
+
+42
+00:04:21,950 --> 00:04:30,230
+التربيع إلى لنا الـ x يبقى هذه تعتبر function وهذه
+
+43
+00:04:30,230 --> 00:04:35,250
+كلها تعتبر function ثانية يبقى هذه مشتقة حاصل ضرب
+
+44
+00:04:35,250 --> 00:04:41,170
+الدالتين يبقى إيش بده يجعلنا هنا باجي بقول هذا بده
+
+45
+00:04:41,170 --> 00:04:47,050
+يعطينا أن y prime تساوي الدالة الأولى في مشتقة
+
+46
+00:04:47,050 --> 00:04:54,220
+الدالة الثانية مشتقة الجذر 1 على 2 الجذر في 
+
+47
+00:04:54,220 --> 00:05:01,360
+مشتقة ما داخل الجذر يبقى 1 على 2 الجذر
+
+48
+00:05:01,360 --> 00:05:06,620
+التربيع لن الـ X في مشتقة لن الـ X اجتناقنا اللي
+
+49
+00:05:06,620 --> 00:05:11,740
+اجتناقناها المرة الماضية كانت 1 على X زائد
+
+50
+00:05:11,740 --> 00:05:17,260
+الدالة الثانية الجذر التربيع لن الـ X في مشتقة الـ X
+
+51
+00:05:17,260 --> 00:05:24,080
+اللي مجددك بـ 1 صحيح بتروح هذه مع هذه يبقى أصبح
+
+52
+00:05:24,080 --> 00:05:30,660
+عندي الـ Y prime يساوي 1 على 2 الجذر التربيع
+
+53
+00:05:30,660 --> 00:05:39,480
+لن الـ X زائد الجذر التربيع لمن؟ لن الـ X طيب سؤال
+
+54
+00:05:39,480 --> 00:05:48,980
+الثاني بدنا Y تساوي X تربيع في ln الـ X كل هذا أس
+
+55
+00:05:48,980 --> 00:05:51,240
+كده إيش؟ أس، 4
+
+56
+00:05:58,000 --> 00:06:04,500
+هذا قوس مرفوعة من القوس. لو رجعنا بالذاكرة إلى
+
+57
+00:06:04,500 --> 00:06:10,000
+الورق في calculus إيه؟ بنيجي نقول القوس في القوس
+
+58
+00:06:10,000 --> 00:06:14,360
+مرفوعة لنفس القوس مطروح من 1 في مشتقة ما داخل
+
+59
+00:06:14,360 --> 00:06:20,520
+القوس. فجأة هذا بدي أعطيك هذه القوس وهي القوس زي
+
+60
+00:06:20,520 --> 00:06:26,020
+ما هو مرفوع للأس 4 ناقص 1 اللي يساوي قد إيش
+
+61
+00:06:26,020 --> 00:06:32,340
+3 في مشتقة مداخل القوس مداخل القوس حاصل ضرب
+
+62
+00:06:32,340 --> 00:06:39,840
+دالتين هذه تعتبر دالة وهذه تعتبر دالة إذا X تربيعها
+
+63
+00:06:39,840 --> 00:06:46,670
+في مشتقة ln الـ X اللي بـ 1 على X زائد لن الـ X في 
+
+64
+00:06:46,670 --> 00:06:51,530
+مشتقة الـ X تربيع ليه بيبقى كده إيش؟ 2X لو
+
+65
+00:06:51,530 --> 00:06:58,950
+قعدنا نرتبها يبقى 4 في X تربيع لن الـ X الكل
+
+66
+00:06:58,950 --> 00:07:09,650
+تكعيب في X زائد 2X لن الـ X طب السؤال الثالث
+
+67
+00:07:12,200 --> 00:07:27,860
+يقول لي Y تساوي لن لن 3X زائد 4 لن لن لن
+
+68
+00:07:27,860 --> 00:07:29,020
+لن لن لن لن لن لن لن لن لنا لنا لنا لنا لنا
+
+69
+00:07:29,020 --> 00:07:29,080
+لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا
+
+70
+00:07:29,080 --> 00:07:29,160
+لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا
+
+71
+00:07:29,160 --> 00:07:31,680
+لنا لنا لنا لنا لنا لنا لنا لنا لنا لوإن لو
+
+72
+00:07:31,680 --> 00:07:38,040
+كانت الـ U هي دالة قابلة للاشتقاق في X فإن مشتقة
+
+73
+00:07:38,040 --> 00:07:46,700
+دي على دي X لـ ln الـ U هي عبارة عن مين؟ 1 على U
+
+74
+00:07:46,700 --> 00:07:52,760
+دي U على دي X إذن هذا القادر نطبقه على الاشتقاق
+
+75
+00:07:52,760 --> 00:07:59,220
+لأن هذا كل اللي داخل الـ Lin هذا كله هذا بدي
+
+76
+00:07:59,220 --> 00:08:06,670
+أعتبره بـ U يبقى 1 على هذا المقدار في مشتقة هذا
+
+77
+00:08:06,670 --> 00:08:15,610
+المقدار يبقى بادرسه لأن Y' يساوي 1 على لن 3
+
+78
+00:08:15,610 --> 00:08:23,550
+X زائد 4 في مين؟ في مشتقة اللي بين القوسين هذا
+
+79
+00:08:23,550 --> 00:08:31,440
+يبقى كده إيش مشتقة 1 على 3X زائد 4 في
+
+80
+00:08:31,440 --> 00:08:37,560
+مشتقة مداخل الـ ln اللي هو مشتقة 3 يعني طبقت
+
+81
+00:08:37,560 --> 00:08:46,880
+chain rule بدل المرة مرتين طبعاً مرة ثانية بقول أنه
+
+82
+00:08:46,880 --> 00:08:53,140
+way to say لن لن 3x زائد 4 يعني بدي أخد لن
+
+83
+00:08:53,140 --> 00:08:57,560
+3 و أكتر زي 4 بطلع لعدد بدي أخد لن هذا
+
+84
+00:08:57,560 --> 00:09:02,220
+المقدار كمان مرة وبعدين أشتقه يبقى الاشتقاق بدي
+
+85
+00:09:02,220 --> 00:09:06,310
+يكون للن اللي برا واللي جوا كلها بدي أعتبرها اللي
+
+86
+00:09:06,310 --> 00:09:11,490
+هي دالة U دالة قابلة للاشتقاق في X فبأجي بقول الـ Y'
+
+87
+00:09:11,910 --> 00:09:17,750
+1 على U زي ما كتبنا هناك يبقى 1 على المقدار
+
+88
+00:09:17,750 --> 00:09:24,070
+هذا كله في DU على DX مشتقة هذا المقدار كله مشتقة
+
+89
+00:09:24,070 --> 00:09:28,550
+ln 3X زيادة 4 يعني 1 على 3X
+
+90
+00:09:28,550 --> 00:09:32,270
+زيادة 4 في مشتقة 3X زيادة 4 اللي هو
+
+91
+00:09:32,270 --> 00:09:37,750
+مشتقة داخل الـ ln اللي مشتقته بـ 3 يبقى هنا
+
+92
+00:09:37,750 --> 00:09:51,190
+exercise يبقى هنا exercise يبقى
+
+93
+00:09:51,190 --> 00:09:51,270
+exercise يبقى هنا exercise يبقى هنا exercise يبقى
+
+94
+00:09:51,270 --> 00:09:53,590
+هنا exercise يبقى هنا exercise يبقى هنا exercise
+
+95
+00:09:53,590 --> 00:09:54,290
+يبقى هنا exercise يبقى هنا exercise يبقى هنا
+
+96
+00:09:54,290 --> 00:09:54,370
+يبقى هنا exercise يبقى هنا exercise يبقى هنا
+
+97
+00:09:54,370 --> 00:10:00,670
+هنا exercise يبقى هنا exercise يبقى هنا
+
+98
+00:10:00,670 --> 00:10:06,050
+exercise
+
+99
+00:10:06,050 --> 00:10:11,130
+يبيبقى اللي جوا هو هذا اللي بين قوسين كله بأعتبره
+
+100
+00:10:11,130 --> 00:10:16,390
+يبقى 1 على هذا المقدار فيه مشتقته ومشتقته هو
+
+101
+00:10:16,390 --> 00:10:21,030
+السؤال اللي من فوق صح ولا لا؟ يبقى very easy صار
+
+102
+00:10:21,030 --> 00:10:27,270
+طيب، هذا اللي هو السؤال رقم 3
+
+103
+00:10:51,720 --> 00:10:57,840
+سؤال رقم 4
+
+104
+00:10:57,840 --> 00:11:09,450
+سؤال رقم 4 بدنا y تساوي اللي هو الجذر الجذر
+
+105
+00:11:09,450 --> 00:11:16,530
+التربيع إلى X زائد 1 مقسوماً على 3 زائد X
+
+106
+00:11:16,530 --> 00:11:17,070
+تربيع
+
+107
+00:11:21,770 --> 00:11:26,410
+يبقى 1 على اللي داخل الـ ln فيه مشتقة مداخل الـ ln
+
+108
+00:11:26,410 --> 00:11:31,730
+ومداخل الـ ln خارج قسمة الدالتين المقام في مشتقة البسط
+
+109
+00:11:31,730 --> 00:11:35,770
+ناقص البسط في مشتقة المقام على مربع المقام الأصل
+
+110
+00:11:35,770 --> 00:11:41,500
+والله هذه كلها كعجل شكل، مظبوط؟ لكن احنا ممكن نلطف
+
+111
+00:11:41,500 --> 00:11:46,900
+شكل المسألة ثم نقوم بعملية الاشتقاق ده تلطيف المسألة
+
+112
+00:11:46,900 --> 00:11:51,880
+كيف؟ من الخواص هذا ln خارج قسمة المقدارين بقول
+
+113
+00:11:51,880 --> 00:11:56,180
+ln الأول ناقص ln الثاني يعني ln البسط ناقص ln
+
+114
+00:11:56,180 --> 00:12:02,660
+المقام يبقى ln الجذر التربيع إلى X زائد 1 ناقص
+
+115
+00:12:02,660 --> 00:12:10,510
+ln 3 زائد X تربيع يبقى أصبحت عندي Y تساوي ln
+
+116
+00:12:10,510 --> 00:12:14,230
+ln الجذر التربيع لـ X زائد 1 يعني X زائد 1
+
+117
+00:12:14,230 --> 00:12:20,810
+قوس نص من خواص الـ ln النص بيطلع برا الـ ln يبقى بيصير
+
+118
+00:12:20,810 --> 00:12:29,610
+نص ln X زائد 1 وهذا بيصير ln 3 زائد ln X
+
+119
+00:12:29,610 --> 00:12:36,740
+تربيع مظبوط غير أي و يرجع إياك واحد يعمل الشغل هذه
+
+120
+00:12:36,740 --> 00:12:41,380
+اللي لا بتدخل على ناقص ولا بتدخل على زائد، بتدخل
+
+121
+00:12:41,380 --> 00:12:46,180
+على حاصل الضرب وخارج القسمة فقط، لا غير، يبقى
+
+122
+00:12:46,180 --> 00:12:49,780
+بناء عليها دي ما أقدرش أعمل فيها ولا حاجة فبنزلها
+
+123
+00:12:49,780 --> 00:12:55,390
+كما هي الحين هذه أنا كتبت المثال هذه أبسط من اللي
+
+124
+00:12:55,390 --> 00:13:00,030
+فوق كتير إذا عملية الاشتقاق اللي هيبقى سهلة يبقى
+
+125
+00:13:00,030 --> 00:13:07,450
+يبدو Y' يساوي نصف في 1 على X زائد 1 لمشتقة 
+
+126
+00:13:07,450 --> 00:13:14,190
+مداخل الـN اللي هو في جداش بواحد ناقص واحد على 
+
+127
+00:13:14,190 --> 00:13:22,970
+ثلاثة زائد X تربيع في جداش في اثنين X طيب السؤال
+
+128
+00:13:22,970 --> 00:13:35,050
+الخامس الـ Y تساوي لأن افتح قوس الجدري التربية اللي
+
+129
+00:13:35,050 --> 00:13:41,010
+واحد زائد X تربيع في sin 3X
+
+130
+00:13:43,520 --> 00:13:53,640
+يبقى 1 على sin 3x في تفاضل الـ sin بـ cos 3x لمشتقة
+
+131
+00:13:53,640 --> 00:13:59,560
+الزاوية اللي هي بـ 3 إذاً النتيجة كالتالي اثنين مع
+
+132
+00:13:59,560 --> 00:14:05,060
+النص الله يسهل عليها بيقول ايه ماجداش؟ بيقول X على
+
+133
+00:14:05,060 --> 00:14:13,520
+واحد زائد X تربيع زائد ثلاثة كوساين على ساين جداش؟
+
+134
+00:14:13,520 --> 00:14:23,220
+كوتان لثلاثة X السؤال السادس السؤال السادس بيقول
+
+135
+00:14:23,220 --> 00:14:33,880
+لي Y تساوي X تان للـ ln الـ X إزاي كل تبعة التان هي لل
+
+136
+00:14:33,880 --> 00:14:38,420
+الـ X؟ يبقى هذه مشتقة حاصل ضرب مش عارف دالتين ولا
+
+137
+00:14:38,420 --> 00:14:44,380
+ثلاثة هذه دالتين ولا ثلاثة؟ دالتين لأن التان أو
+
+138
+00:14:44,380 --> 00:14:49,740
+النسبة المثلثية لا معنى لها بدون الزاوية لازم تكون
+
+139
+00:14:49,740 --> 00:14:54,780
+الزاوية موجودة عندي حتى أقدر ايه حتى أقدر اللي هو
+
+140
+00:14:54,780 --> 00:15:01,760
+اشتق إذا هذه دالة وهذه كلها دالة ثانية يبقى باجب
+
+141
+00:15:01,760 --> 00:15:06,320
+أقول لهم why prime يساوي الدالة الأولى مشتقة التان
+
+142
+00:15:07,370 --> 00:15:14,490
+ذكروني في جداش؟ سيكانت تربيع يبقى سيكانت تربيع لأن الـ X
+
+143
+00:15:14,490 --> 00:15:20,890
+تربيع مشتقة إزاي طبقا للـ chain rule مشتقة إزاي في
+
+144
+00:15:20,890 --> 00:15:26,110
+جداش؟ واحد على X يعني مشتقة لأن الـ X اللي بيبقى
+
+145
+00:15:26,110 --> 00:15:34,290
+واحد على X طبعا يبقى هذا الأولى في مشتقة مين الدالة
+
+146
+00:15:34,290 --> 00:15:39,910
+الثانية زائد الدالة الثانية اللي هي tan للـ ln الـ X
+
+147
+00:15:39,910 --> 00:15:45,030
+في مشتقة الأولى اللي هي بقت واحد صحيح عندك هنا X
+
+148
+00:15:45,030 --> 00:15:50,150
+وهنا واحد على X مع السلامة يبقى بتقول النتيجة إلى
+
+149
+00:15:50,150 --> 00:15:58,470
+سيكانت تربيع للـ ln الـ X زائد tan للـ ln الـ X كذلك
+
+150
+00:16:02,570 --> 00:16:08,030
+السؤال السابع يقول
+
+151
+00:16:08,030 --> 00:16:15,950
+لي Y تساوي تكامل من X تربيع إلى X تكعيب لـ T للنتي
+
+152
+00:16:15,950 --> 00:16:21,070
+DT بدنا 
+
+153
+00:16:21,070 --> 00:16:25,750
+اشتقاق للتكامل مرت علينا شغل زي هذه؟
+
+154
+00:16:31,070 --> 00:16:36,890
+كان اسمه الـ Fundamental Theory of Calculus
+
+155
+00:16:36,890 --> 00:16:39,190
+والنتيجتين اللي موجودتين عليه
+
+156
+00:16:43,170 --> 00:16:49,230
+بنكرر هذه المسائل في الامتحانات كثير نظرا لأهميتها
+
+157
+00:16:49,230 --> 00:16:58,130
+يبقى جمله مبدأ حلو بنقول هنا D على DX لمين؟ لتكامل
+
+158
+00:16:58,130 --> 00:17:08,050
+من H of X إلى G of X لـ F of T دي T بتساوي بنشيل كل 
+
+159
+00:17:08,050 --> 00:17:13,870
+T في الدالة F of T وبنحط بدلها مين؟ G of X وبنروح
+
+160
+00:17:13,870 --> 00:17:17,870
+بضرب في مشتقة الـ G of X تبقى اللي هي تشين رول بعد
+
+161
+00:17:17,870 --> 00:17:23,290
+هيك اللي عملته لـ G بدي أعمل لـ H بالضبط تماما بس
+
+162
+00:17:23,290 --> 00:17:30,910
+بإشارة سالبة يبقى هذه F R بنشيل الـ T و بنكتب مكانها
+
+163
+00:17:30,910 --> 00:17:40,060
+G of X في مشتقة الـ G of X فبقى لـ h and o اللي
+
+164
+00:17:40,060 --> 00:17:42,720
+عملناه للدالة اللي فوق بنعمله للدالة اللي تحت
+
+165
+00:17:42,720 --> 00:17:51,640
+ماحدش أحسن من حد يبقى الـ f للـ h of x في الـ h prime
+
+166
+00:17:51,640 --> 00:17:58,880
+of x خلي هذه المعلومة عندك ضرورية جدا وبدنا
+
+167
+00:17:58,880 --> 00:18:05,230
+نطبقها على مين على السؤال بتاعنا إذا أنا هشيل كل T
+
+168
+00:18:05,230 --> 00:18:13,730
+واكتب مكانها X تكعيب لأن
+
+169
+00:18:13,730 --> 00:18:22,910
+X تكعيب كل هذا مضروب في G' يعني مشتقة من X تكعيب
+
+170
+00:18:25,830 --> 00:18:30,290
+اللي عملناه للـ X تكعيب هنعمله لمين؟ للـ X تربيع
+
+171
+00:18:30,290 --> 00:18:36,730
+يبقى ناقص X تربيع للـ ln X تربيع في مشتقة الـ X تربيع
+
+172
+00:18:36,730 --> 00:18:45,450
+لاثنين X هنعيد ترتيب المثل يبقى هذا بصير ثلاثة X
+
+173
+00:18:45,450 --> 00:18:50,810
+أس خمسة وهذه للـ ln X تكعيب اللي هي عبارة عن مين؟
+
+174
+00:18:50,810 --> 00:18:58,670
+ثلاثة في ln X خلاص ما منها هذه ناقص اثنين X تكعيب
+
+175
+00:18:58,670 --> 00:19:06,970
+في كذلك اثنين ln الـ X يبقى بصير هذه تسعة X أس خمسة
+
+176
+00:19:06,970 --> 00:19:15,050
+ln الـ X ناقص أربعة X تكعيب ln الـ X يبقى هذا الجواب
+
+177
+00:19:15,050 --> 00:19:24,630
+النهائي لمين لهذه الدالة طيب سؤال الثامن يقول لي Y
+
+178
+00:19:24,630 --> 00:19:34,990
+تساوي X أس ثاني X أظن
+
+179
+00:19:34,990 --> 00:19:40,530
+أول مرة أشوف سؤال بهذا الشكل دائما وابدا في كل نص
+
+180
+00:19:40,530 --> 00:19:47,190
+A بيجينا نقول الأساس متغير والأس مقدار ثابت يعني
+
+181
+00:19:47,190 --> 00:19:51,990
+بدنا مشتقة مثلا X تكعيب X أس خمسة X تربيع زائد
+
+182
+00:19:51,990 --> 00:19:56,370
+ثلاثة إلى آخره دائما الأس ثابت والأساس متغير هنا
+
+183
+00:19:56,370 --> 00:20:03,170
+الأساس متغير والأس كذلك متغير إذا من الآن فصاعدا
+
+184
+00:20:03,390 --> 00:20:07,570
+التكتيك اللي بدنا نتبعه عند حل هذا السؤال، بدك
+
+185
+00:20:07,570 --> 00:20:13,090
+تتبعه عند حل أي سؤال مشابه، يعني أي سؤال الأساس
+
+186
+00:20:13,090 --> 00:20:17,570
+تبعه متغير والأس تبعه متغير، بدك تتعامله بنفس
+
+187
+00:20:17,570 --> 00:20:21,650
+الطريقة اللي بدنا نعمل بها هذا السؤال طب إيش نعمل
+
+188
+00:20:21,650 --> 00:20:31,060
+يا شباب؟ ناخذ ln للطرفين يبقى بناجي أقول له هنا ln
+
+189
+00:20:31,060 --> 00:20:41,530
+الـ Y بدها تساوي ln X أس ثاني X هذا بدي أعطيك إن ln
+
+190
+00:20:41,530 --> 00:20:46,710
+الـ Y يبقى
+
+191
+00:20:46,710 --> 00:20:53,330
+يساوي ثاني X في ln الـ X يبقى المسألة عندي أخذت
+
+192
+00:20:53,330 --> 00:20:59,610
+شكلا جديدا غير الشكل تبعها المتعارف عليه تمام؟ يبقى
+
+193
+00:20:59,610 --> 00:21:04,890
+مشتقة الطرفين بنا نيجي لـ ln الـ Y تعرف تشتق لـ ln الـ
+
+194
+00:21:04,890 --> 00:21:11,700
+Y اسمع يا شباب لأن الـ Y بتعرف تشتقها 1 على Y بس
+
+195
+00:21:11,700 --> 00:21:15,700
+قلنا
+
+196
+00:21:15,700 --> 00:21:21,320
+لو كانت الـ U دالة قبل الاشتقاق في X فإن مشتقة لأن
+
+197
+00:21:21,320 --> 00:21:26,320
+الـ U كتبتها قبل قليل هي 1 على U في دي U على دي X
+
+198
+00:21:26,320 --> 00:21:34,060
+هنا Y دالة في X إذا مشتقة لي ln الـ Y هي 1 على Y دي
+
+199
+00:21:34,060 --> 00:21:38,840
+Y على دي X أو Y'، ماشي، إذا الطرف الشمال لو جت
+
+200
+00:21:38,840 --> 00:21:44,980
+اشتقه، بدي يكون 1 على Y في الـ Y' يستوي، الطرف
+
+201
+00:21:44,980 --> 00:21:53,470
+اليمين حاصل ضرب دالتين يبقى الدالة الأولى في مشتقة 
+
+202
+00:21:53,470 --> 00:21:59,650
+الدالة الثانية، زائد الدالة الثانية في مشتقة
+
+203
+00:21:59,650 --> 00:22:06,630
+الأولى، كده مشتقة التان؟ sec تربيع، ماشي يلا
+
+204
+00:22:06,630 --> 00:22:13,350
+موافقين، sec تربيع على الـ X طيب أنا بدي واحد على Y
+
+205
+00:22:13,350 --> 00:22:17,230
+في الـ Y prime بدي Y prime لحاله يبقى بنروح بضرب
+
+206
+00:22:17,230 --> 00:22:22,590
+الطرفين في مين؟ في الـ Y يبقى هذا بدي أعطيلك إن Y
+
+207
+00:22:22,590 --> 00:22:32,910
+prime يساوي Y في tan الـ X على X زائد ln الـ X في
+
+208
+00:22:32,910 --> 00:22:39,150
+مين؟ في sec تربيع الـ X الجواب مزوج، في لونين من
+
+209
+00:22:39,150 --> 00:22:44,230
+المتغيرات، إيش X وإيش Y، بدي الـ Shake بتخليه ليه
+
+210
+00:22:44,230 --> 00:22:48,950
+كله لون واحد، يعني أنا بدي المشتقة للـ Y بدلالة
+
+211
+00:22:48,950 --> 00:22:54,510
+من؟ بدلالة X، إذا بقدر أشيل Y هادي وأحط قيمته
+
+212
+00:22:54,510 --> 00:23:00,130
+اللي هي من راس المسألة اللي موجودة عندنا طيب يبقى
+
+213
+00:23:00,130 --> 00:23:05,030
+بناء عليه بصير عندي الـ Y Prime يساوي X أس
+
+214
+00:23:05,030 --> 00:23:14,730
+ثاني الـ X في مين؟ في ثاني الـ X على X زائد ln الـ X
+
+215
+00:23:14,730 --> 00:23:22,110
+في sec تربيع الـ X طيب
+
+216
+00:23:22,110 --> 00:23:30,310
+خلي سؤال تسعة هذا السؤال كان اشتقاق صريح الـ Y في
+
+217
+00:23:30,310 --> 00:23:35,850
+شعبة والـ X في شعبة ثانية خلّيني ناخد اشتقاق ضمني فلو
+
+218
+00:23:35,850 --> 00:23:45,730
+جيت قلت لك اثنين Y أس X مثلا تساوي الـ X أس Y تربيع
+
+219
+00:23:50,670 --> 00:23:54,770
+مش قادر أخلي الـ Y في شعبة والـ X في شعبة يبقى هذا
+
+220
+00:23:54,770 --> 00:24:00,330
+اشتقاق ضمني لكن مادام ضمني بسط المثل بعدين يروح
+
+221
+00:24:00,330 --> 00:24:05,390
+يشتق مظبوط يبقى زي ما عملنا فوق بدنا نعمل في هذا
+
+222
+00:24:05,390 --> 00:24:10,950
+السؤال بناخد ln للطرفين إذا لو أخذنا ln للطرفين
+
+223
+00:24:10,950 --> 00:24:18,830
+هذا إيش بيعطيلك X ln اثنين Y يساوي Y تربيع ln X
+
+224
+00:24:26,000 --> 00:24:32,740
+تمام؟ طيب يبقى الصحارات كل واحدة فيهم مشتقة حاصل
+
+225
+00:24:32,740 --> 00:24:36,400
+ضرب دالتين اللي كانت كمان مشجعة نفس الـ Y في شعبة
+
+226
+00:24:36,400 --> 00:24:42,020
+والـ X في شعبة يبقى فاضل تفاضل ضمني implicit
+
+227
+00:24:42,020 --> 00:24:46,970
+differentiation بنفضل كل واحد في مكانه مع مراعاة
+
+228
+00:24:46,970 --> 00:24:52,590
+قواعد الاشتقاق. هذه تعتبر function، هذه function
+
+229
+00:24:52,590 --> 00:24:57,250
+ثانية، هذه function، هذه function ثانية، يبقى كل
+
+230
+00:24:57,250 --> 00:25:02,930
+من الطرفين عبارة عن حاصل ضرب بدالتين وبدأ نشتقهم.
+
+231
+00:25:03,470 --> 00:25:09,650
+يبقى ده الأولى. بدأ نشتق اللي هو ln اثنين واحد،
+
+232
+00:25:09,650 --> 00:25:11,110
+تعرف؟
+
+233
+00:25:13,570 --> 00:25:16,470
+هو اللي دخل عرب لـ ln اثنين وواحد مننا اشتغل مش أنت
+
+234
+00:25:16,470 --> 00:25:21,780
+اللي وراك يا راجل ممتاز يبقى واحد على اثنين Y في
+
+235
+00:25:21,780 --> 00:25:28,780
+مشتقة اثنين Y اللي هي باثنين Y prime يبقى الـ X في
+
+236
+00:25:28,780 --> 00:25:34,480
+واحد على اثنين Y في مشتقة اثنين Y اللي هي باثنين Y
+
+237
+00:25:34,480 --> 00:25:38,700
+prime يبقى الدالة الأولى في مشتقة الدالة الثانية
+
+238
+00:25:38,700 --> 00:25:44,920
+زائد الدالة الثانية في مشتقة الأولى اللي هي بواحد
+
+239
+00:25:44,920 --> 00:25:53,640
+يساوي بدنا نيجي برضه الأولى Y تربيع في مشتقة
+
+240
+00:25:53,640 --> 00:26:00,160
+الثانية ليه واحد على X زائد ln الـ X بدنا نشتق Y
+
+241
+00:26:00,160 --> 00:26:05,900
+تربيع أيوة يا أخي العرب أنت رقم ثلاثة أيوة بدنا
+
+242
+00:26:05,900 --> 00:26:12,020
+مشتقة Y تربيع أيوة بدنا مشتقة Y تربيع بس
+
+243
+00:26:16,190 --> 00:26:20,910
+بتسمعوا وبعدين شوفوا يا عزيزي كمشتقة Y تربيع؟ من
+
+244
+00:26:20,910 --> 00:26:27,270
+Y أنا أجيب في المعلومة هذه من B ولا من M؟ كالقلص B
+
+245
+00:26:27,270 --> 00:26:32,850
+ولا كالقلص A؟ كالقلص A لأنه أنا اشتقت بالنسبة لـ X
+
+246
+00:26:32,850 --> 00:26:38,510
+لكن لو كان اشتقق بالنسبة لـ Y نقلت 2Y وسكتنا لكن
+
+247
+00:26:38,510 --> 00:26:44,890
+كله بالنسبة لـ X يجب أنا أقول في 2Y في الـ Y ال
+
+248
+00:26:44,890 --> 00:26:51,500
+prime اثنين مع اثنين بتروح، بيبقى اللي عندي X على Y
+
+249
+00:26:51,500 --> 00:26:58,120
+في الـ Y prime زائد ln اثنين Y بده يساوي Y تربيع
+
+250
+00:26:58,120 --> 00:27:07,720
+على X زائد اثنين Y ln الـ X في مين؟ في الـ Y prime 
+
+251
+00:27:09,220 --> 00:27:13,360
+بنقدر نجيب هادي و هادي عند بعض و ناخد أي عامل
+
+252
+00:27:13,360 --> 00:27:17,400
+مشترك و ننقل هادي عند هادي على الشجة الثانية و
+
+253
+00:27:17,400 --> 00:27:20,900
+بعدين نقسم على المعامل واي برايم على هي حال هذا
+
+254
+00:27:20,900 --> 00:27:25,800
+شغل روتيني لكن احنا العمود الفقري في المسألة اللي
+
+255
+00:27:25,800 --> 00:27:28,820
+هو الاشتغال طيب لو جاك سؤال اللي سمح الله ترفع
+
+256
+00:27:28,820 --> 00:27:33,900
+ضمن ضمن زي أكس بس فاضل أيام من الأول للآخر صح؟ 
+
+257
+00:27:33,900 --> 00:27:38,200
+و خليه بس هذا التفاضل صحيح و خد ال full mark بس
+
+258
+00:27:38,200 --> 00:27:44,180
+يلا اشتغل هالشغلة طيب هذا كان اللي هو المثال رقم
+
+259
+00:27:44,180 --> 00:27:49,340
+قداش تسعة؟ لا سيبك احنا تسعة دول من ضمن المثال
+
+260
+00:27:49,340 --> 00:27:58,760
+الخامس نجي للمثال السادس المثال
+
+261
+00:27:58,760 --> 00:28:02,180
+السادس بقول use
+
+262
+00:28:05,530 --> 00:28:20,770
+logarithmic differentiation to
+
+263
+00:28:20,770 --> 00:28:31,230
+find y prime for the function y تساوي
+
+264
+00:28:50,950 --> 00:28:53,770
+السؤال اللي جابله جالي هاتلي y prime
+
+265
+00:28:58,670 --> 00:29:05,170
+هذا يجب أن 
+
+266
+00:29:05,170 --> 00:29:11,190
+تشتغل بطريقة محددة لغارتماك ديفرانشيان يعني تأخذ
+
+267
+00:29:11,190 --> 00:29:17,650
+التفاضل اللغارتمي يعني التفاضل لمن؟ للن يجب أن
+
+268
+00:29:17,650 --> 00:29:21,930
+تأخذ الـ ln للطرف طبعا بقدر أفضلها بدون التفاضل
+
+269
+00:29:21,930 --> 00:29:29,670
+اللغارتمي بدي أقول .. بدي أقول التفاضل هذه المقام
+
+270
+00:29:29,670 --> 00:29:32,830
+في مشتقة البسط، ناقص البسط في مشتقة المقام على مربع
+
+271
+00:29:32,830 --> 00:29:36,610
+المقام، ما شاء الله عليها، مكلكة على كذا، تمام؟
+
+272
+00:29:36,610 --> 00:29:39,830
+إذا لما قال يوزي التفاضل اللي وارتني، بدي أروح أخد
+
+273
+00:29:39,830 --> 00:29:45,100
+ln للفركشن، ثم أفاضل إيش رأيك احنا بدل السؤال
+
+274
+00:29:45,100 --> 00:29:50,700
+اثنين هاي و هذا و اين راح الـ X هذا و اللي جابله الـ
+
+275
+00:29:50,700 --> 00:29:53,820
+X استانكس اشتغلناهم تفاضل اللغة لغة لغة لغة لغة
+
+276
+00:29:53,820 --> 00:30:04,640
+لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة
+
+277
+00:30:04,660 --> 00:30:10,340
+كويس؟ يبقى هنا جاك تفاضل اللغة الرتمية، ما جاش حتى
+
+278
+00:30:10,340 --> 00:30:14,700
+لو ما جاش أفضل حاجة أو أسهل حاجة تروح تاخد مين؟
+
+279
+00:30:14,700 --> 00:30:19,140
+الـ ln للطرفين و بعدين تروح تشتغل مين؟ شغل تبعك، إذا
+
+280
+00:30:19,140 --> 00:30:24,580
+لو جيت أخدت الـ ln للطرفين، تصير الـ ln شمال بدي أساوي
+
+281
+00:30:24,580 --> 00:30:30,500
+مين؟ لأن الطرف اليمين خارق قسم الدلتين يبقى ln
+
+282
+00:30:30,500 --> 00:30:37,020
+البسط ناقص ln للمقام يبقى ln X الجذر التربيعي إلى
+
+283
+00:30:37,020 --> 00:30:44,620
+X تربيع زائد واحد ناقص ln خمسة X زائد واحد أس
+
+284
+00:30:44,620 --> 00:30:54,090
+ثلاث ثانيتين بنبسطها أكثر لأن الـ y يساوي لأن الـ X زائد
+
+285
+00:30:54,090 --> 00:30:59,750
+لأن الجذر التربيعي الـ X تربيع زائد واحد كميتين
+
+286
+00:30:59,750 --> 00:31:04,210
+مضروبتين في بعض يبقى ln الأولى زائد ln الثانية
+
+287
+00:31:04,210 --> 00:31:10,890
+هذه كمان تعتبر كمية وهذه كمية لحالها يبقى ناقص ln
+
+288
+00:31:10,890 --> 00:31:18,520
+الخمسة ناقص ln X زائد واحد أس ثلاث ثانيتين صح؟  تي إيه
+
+289
+00:31:18,520 --> 00:31:24,800
+ناقص ناقص صحيح إن مائة بالمائة بيقول ناقص افتح قوس
+
+290
+00:31:24,800 --> 00:31:28,880
+ln الأولى زائد ln الثانية الناقص بدخل على كل واحدة
+
+291
+00:31:28,880 --> 00:31:34,580
+منهم فبنقدر نبسط أكثر كمان يبقى هذا الكلام اللي هو
+
+292
+00:31:34,580 --> 00:31:42,480
+ln الـ Y بديه يساوي ln الـ X زائد نص اللي هو ln X
+
+293
+00:31:42,480 --> 00:31:45,240
+تربيع زائد واحد
+
+294
+00:31:48,170 --> 00:31:56,430
+تمام؟ و هنا ناقص ln الخمسة و ناقص ثلاث ثانيتين ln الـ X
+
+295
+00:31:56,430 --> 00:32:04,210
+زائد واحد أكثر من هيك ما فيش، تمام؟ يبقى بقدر
+
+296
+00:32:04,210 --> 00:32:09,050
+أقوله هذا الكلام بدي أبدأ اشتقه يبقى مشتقة ln الـ Y
+
+297
+00:32:09,050 --> 00:32:15,600
+عبارة عن مين؟ واحد على Y في الـ Y' مشتقة ln الاكس
+
+298
+00:32:15,600 --> 00:32:23,800
+واحد على X زائد نص و هنا واحد على X تربيع زائد
+
+299
+00:32:23,800 --> 00:32:29,880
+واحد في مشتقة مداخل الـ ln اللي هو الجذر 2X
+
+300
+00:32:29,880 --> 00:32:36,000
+ناقص ln الخمسة مشتقة واحد على خمسة يعني صفر مظبوط
+
+301
+00:32:36,000 --> 00:32:44,390
+هيك؟ غلط يعني كلامي؟ غلط بل هو الغلط بعينه لأن ln
+
+302
+00:32:44,390 --> 00:32:49,410
+خمسة كله كونستانت مقدار ثابت ومشتقة كونستانت بقداش
+
+303
+00:32:49,410 --> 00:32:53,550
+مش روح واحد يقولك اكتبلي خمسة ثاني مرة ولاش إيه
+
+304
+00:32:53,550 --> 00:32:57,430
+يبقى ln إن شاء الله يكون خمسة مليون مشتقة ب صفر
+
+305
+00:32:57,430 --> 00:33:05,250
+مش خمسة و بس يبقى ln الخمسة ب صفر ناقص ثلاث ثانيتين و ln
+
+306
+00:33:05,250 --> 00:33:14,040
+هذه اللي هو بواحد على واحد على ال X زائد واحد
+
+307
+00:33:14,040 --> 00:33:19,300
+في مشتقة مداخل ال X واحد صحيح طيب احنا بدنا إيش
+
+308
+00:33:19,300 --> 00:33:24,620
+بدنا Y prime يبقى بروح بضرب في مين؟ في Y مين هي الـ
+
+309
+00:33:24,620 --> 00:33:29,880
+Y هذه رأس المسألة اللي فوق إذا بشيل الـ Y و بحط قيمة
+
+310
+00:33:29,880 --> 00:33:36,600
+لـ X في الجذر التربيعي X تربيع زائد واحد كله على
+
+311
+00:33:36,600 --> 00:33:43,780
+خمسة في X زائد واحد أس ثلاث ثانيتين في واحد على X طبعا
+
+312
+00:33:43,780 --> 00:33:52,160
+نص مع اثنين الله يسهل عليه بضل زائد X زائد X على X
+
+313
+00:33:52,160 --> 00:33:59,940
+تربيع زائد واحد ناقص اثنين على ثلاثة في X زائد واحد
+
+314
+00:33:59,940 --> 00:34:07,500
+هذا كان المثال رقم ستة بدنا نروح لمثال رقم سبعة
+
+315
+00:34:07,500 --> 00:34:17,000
+evaluate the following integrals
+
+316
+00:34:18,610 --> 00:34:26,250
+يحسب لي كل من التكاملات التالية التكامل الأول امن
+
+317
+00:34:26,250 --> 00:34:33,570
+السائل أيوة سطر
+
+318
+00:34:33,570 --> 00:34:39,110
+الثاني هنا امن يبقى
+
+319
+00:34:39,110 --> 00:34:42,190
+..
+
+320
+00:35:02,160 --> 00:35:06,040
+طبعا احنا في Calculus إيه كملنا الـ sine و الـ
+
+321
+00:35:06,040 --> 00:35:10,120
+cosine مجرود و قلنا تكامل cosine الـ X هو
+
+322
+00:35:14,470 --> 00:35:21,070
+تكامل sin x هو سالب cos x زائد constant وقلنا لكم
+
+323
+00:35:21,070 --> 00:35:26,090
+باقي الأربع نسب اللي يعيش ويسجل كالكلص بيه بنكمله
+
+324
+00:35:26,090 --> 00:35:32,130
+الأربع نسب الأخرى ونحن اليوم نفي بوعدنا اللي
+
+325
+00:35:32,130 --> 00:35:38,280
+وعدناكم إياه في الفصل الأول يبقى الـ Sin و الـ Cos
+
+326
+00:35:38,280 --> 00:35:41,360
+كملوهم، بنيجي الآن للأربع نسب الأخر، راح نكملهم
+
+327
+00:35:41,360 --> 00:35:46,760
+الحين فورا قبل أن ندخل إلى باقي الأمثلة، بنيجي
+
+328
+00:35:46,760 --> 00:35:54,180
+لتكامل cotan الـ X DX هو عبارة عن تكامل ليه؟ الـ cotan
+
+329
+00:35:54,180 --> 00:35:59,540
+هي عبارة عن cosine على الـ sin، يبقى cosine الـ X على
+
+330
+00:35:59,540 --> 00:36:06,630
+الـ sin الـ X كله بالنسبة إلى DX نرجع بالذاكرة إلى
+
+331
+00:36:06,630 --> 00:36:13,010
+الورق للمحاضرة الماضية آخر خاصية من خواص ln الـ X
+
+332
+00:36:13,010 --> 00:36:18,450
+بقولنا تكامل 1 على X DX يساوي ln absolute value X
+
+333
+00:36:18,450 --> 00:36:23,820
+زائد كل أسطن C صحيح؟ و روحنا عممناها و قلنا in
+
+334
+00:36:23,820 --> 00:36:29,420
+general تكامل للـ F prime of X على F of X DX يساوي الـ
+
+335
+00:36:29,420 --> 00:36:34,220
+ln absolute value لما ده الـ F of X زائد constant C
+
+336
+00:36:34,220 --> 00:36:40,240
+إذاً بدنا نروح نطبق هذه الخاصية للخاصية الأخيرة
+
+337
+00:36:40,240 --> 00:36:46,360
+بجي بطلع هنا هل البسط هو مشتقة المقام؟ صحيح مشتقة
+
+338
+00:36:46,360 --> 00:36:52,940
+الـ cosine بـ -cosine يبقى حسب آخر خاصية ln absolute value
+
+339
+00:36:52,940 --> 00:36:57,880
+لـ cosine الـ X زائد constant C وهذه معلومة ما كناش
+
+340
+00:36:57,880 --> 00:37:04,280
+بنعرفها في Calculus A تمام؟ بدي أقول هذه هي النقطة
+
+341
+00:37:04,280 --> 00:37:10,300
+الأولى من هذا المثال وأذهب إلى النقطة الثانية تكامل
+
+342
+00:37:10,300 --> 00:37:18,220
+لـ tan الـ X DX ويساوي تكامل التانية عبارة عن إيه؟ sin
+
+343
+00:37:18,220 --> 00:37:27,880
+X على cos X DX السؤال هو تفاضل الـ cosine -sin
+
+344
+00:37:27,880 --> 00:37:32,520
+وليس موجب sin إذا ملزمنا إيه إشارة سالب فور
+
+345
+00:37:32,520 --> 00:37:40,120
+بنحلها الإشكالية وبنقول سالب تكامل لـ -sin الـ X
+
+346
+00:37:40,230 --> 00:37:46,750
+على cosine الـ X في DX كأننا ضربنا في سالب واحد وفي
+
+347
+00:37:46,750 --> 00:37:51,490
+سالب واحد سالب واحد حطينا جوا التكامل سالب واحد حطينا
+
+348
+00:37:51,490 --> 00:37:56,430
+برا التكامل ومدام كل أصلا تبقى طلع جوا التكامل
+
+349
+00:37:56,430 --> 00:38:01,880
+اللي برا التكامل بدون أي مشكلة الآن البسط هو
+
+350
+00:38:01,880 --> 00:38:09,800
+تفاضل المقام يبقى الجواب ln للمقام يبقى سالب ln
+
+351
+00:38:09,800 --> 00:38:19,500
+absolute value لـ cos x زائد constant C عليك لو
+
+352
+00:38:19,500 --> 00:38:26,740
+سألتك أقول لك شو اسمك أنت عمر عمر إيه؟ ممتاز جداً،
+
+353
+00:38:26,740 --> 00:38:31,200
+عمر هذا اتفل على إجابتنا هذه هيك وما عجبتهش،
+
+354
+00:38:31,200 --> 00:38:35,420
+ما عجبتهش ليش؟ إنه في إشارة سالب، أروح وأفرح عليه
+
+355
+00:38:35,420 --> 00:38:40,080
+السؤال تجبر تكتبها إيه نتيجة بإشارة موجبة بدون
+
+356
+00:38:40,080 --> 00:38:45,960
+سالب؟ بنقوله نجرب، يمكن الله أعلم، يجيب أجي بقوله
+
+357
+00:38:45,960 --> 00:38:51,020
+أنا بدي أستخدم خواص اللوغاريتمات، لو وصل لحد هيك وخلص
+
+358
+00:38:51,020 --> 00:38:54,180
+يبدأ حله سليم مائة بالمائة ولا واحد اللي اعترض
+
+359
+00:38:54,180 --> 00:39:01,450
+عليه لكن عنده خبرة في خواص الـ ln فقال لي هذا سالب
+
+360
+00:39:01,450 --> 00:39:06,030
+واحد في ln المقدار هذا، بدي أرجع لأصله قلت له إيش
+
+361
+00:39:06,030 --> 00:39:11,870
+أصله؟ قال لي هذا هو ln absolute value لـ cosine الـ X
+
+362
+00:39:11,870 --> 00:39:16,370
+أس سالب واحد زائد Constancy قلنا له والله مظهر،
+
+363
+00:39:16,370 --> 00:39:21,500
+ماحدش اللي اعترض عنك، صح؟ طبقا للخواص تمام راح قال
+
+364
+00:39:21,500 --> 00:39:27,420
+لي هذا بده يساوي اللي هو الـ ln واحد على cosine الـ
+
+365
+00:39:27,420 --> 00:39:31,840
+X absolute value بدل ما كان بيقسم فوق نزلها بيقسم
+
+366
+00:39:31,840 --> 00:39:36,400
+وجاب في المقام و قال لي هذا زائد Constancy قلنا
+
+367
+00:39:36,400 --> 00:39:41,200
+له ماشي قال لي واحد على cosine هي مقلب من؟ مقلب الـ
+
+368
+00:39:41,200 --> 00:39:45,900
+secant راح قال لي هذا الـ ln absolute value لها
+
+369
+00:39:45,900 --> 00:39:53,350
+secant X secant X تمام؟ زائد كونستانسية قلناله والله
+
+370
+00:39:53,350 --> 00:39:58,930
+مضجال هيها بالموجب ومش محتاج نشار السالب يبقى سواء
+
+371
+00:39:58,930 --> 00:40:04,770
+كتبت الأولى أو الثانية زي ما قالها زميلكوا عمر
+
+372
+00:40:04,770 --> 00:40:09,910
+ماعنا مشكلة سواء كانت هذه والله هذه
+
+373
+00:40:19,430 --> 00:40:32,590
+بقول يساوي تكامل ابصريش، إيش نسوي في هذه؟ يعني
+
+374
+00:40:32,590 --> 00:40:38,790
+أنت مذاكر ثلاثي عام كويس، تمام تمام، يبقى هذه sec
+
+375
+00:40:38,790 --> 00:40:47,070
+الـ X في مين؟ في sec الـ X زائد tan الـ X على sec الـ X 
+
+376
+00:40:48,680 --> 00:40:54,080
+زائد تان الـ X كله بالنسبة للـ دي X طبعا يبقى طالع
+
+377
+00:40:54,080 --> 00:40:58,000
+واحد يقول وش هالفلك عالي غير شكل هذه يعني ليش هذه
+
+378
+00:40:58,000 --> 00:41:02,000
+ضرب في سك زائد تان وجسم على سك زي يعني كان ضرب في
+
+379
+00:41:02,000 --> 00:41:06,860
+واحد صحية مافيش إشكالية بنقول له آه هذه بتحل
+
+380
+00:41:06,860 --> 00:41:11,140
+المشكلة العويصة اللي مش قادر أحلها يبقى سك في سك
+
+381
+00:41:11,140 --> 00:41:18,180
+بسك تربيع الـ X زائد سك الـ X في تان الـ X كله على سك الـ
+
+382
+00:41:18,180 --> 00:41:23,580
+X زائد تان الـ X وهذا كله بالنسبة إلى DX يعني إيش
+
+383
+00:41:23,580 --> 00:41:28,310
+عملنا فكنا القوس ضربنا السك في اللي داخل القوس طب
+
+384
+00:41:28,310 --> 00:41:32,470
+هذا الآن صار له فائدة، المقام خليناه زي ما هو، قداش
+
+385
+00:41:32,470 --> 00:41:38,850
+مشتقة سك الـ X؟ سكتان هيها، زائد وهنا زائد، قداش
+
+386
+00:41:38,850 --> 00:41:44,650
+تفضل التان؟ سك تربيع، يبقى سعر البسط هو مشتقة مين؟
+
+387
+00:41:44,650 --> 00:41:49,140
+يبقى الجواب لإن المقام يبقى هذه اللي أعملها لها
+
+388
+00:41:49,140 --> 00:41:54,320
+فايدة كبيرة جدا يبقى لين absolute value لسك الـ X
+
+389
+00:41:54,320 --> 00:42:01,160
+زائد تان الـ X زائد constant C يبقى من الآن فصاعدا
+
+390
+00:42:01,160 --> 00:42:06,560
+تكامل لسك الـ X DX هو لين سك الـ X زائد تان الـ X
+
+391
+00:42:06,560 --> 00:42:12,920
+زائد constant C طب النقطة الرابعة والأخيرة تكامل
+
+392
+00:42:12,920 --> 00:42:22,600
+لكوسيكنت الـ X DX يساوي لن absolute value لكوسيكنت
+
+393
+00:42:22,600 --> 00:42:30,760
+الـ X ناقص كوتان الـ X زائد constant C مطلوب إنك
+
+394
+00:42:30,760 --> 00:42:38,020
+تعملها آه آه يا سيدي تشيك بدك تشيك عليها صح ولا لا
+
+395
+00:42:38,020 --> 00:42:46,420
+يعني إيش عملنا ماذا فعلنا هنا؟ بقررت في كوسيكان ناقص
+
+396
+00:42:46,420 --> 00:42:52,220
+كتان وقسمت على كوسيكان ناقص كتان، فصار البسط هو
+
+397
+00:42:52,220 --> 00:42:57,740
+مشتقة من المقام. واحد قال لي لا، أنا عندي جامع
+
+398
+00:42:57,740 --> 00:43:02,570
+مرة ثانية قلت له إيش؟ قال بدل ما تضرب في cosecant اضرب
+
+399
+00:43:02,570 --> 00:43:07,250
+في cosecant زائد كتان واجسم على cosecant زائد
+
+400
+00:43:07,250 --> 00:43:11,330
+كتان قلت له برضه كلامك صح بس مش مدري يطلع عنها شر
+
+401
+00:43:11,330 --> 00:43:17,390
+السالب جاب للن يعني صورة أخرى لهذه الإجابة وهي
+
+402
+00:43:17,390 --> 00:43:23,890
+سالب لن absolute value of cosecant X زائد كتان الـ X
+
+403
+00:43:23,890 --> 00:43:30,430
+زائد constant C يبقى اتنين هدول صح نفس الإجابة لكن
+
+404
+00:43:30,430 --> 00:43:35,250
+أنا لأ فضلت التانية مشان بس إشارة السالب زي مفروض
+
+405
+00:43:35,250 --> 00:43:41,570
+مافضلناش سالب لين كوسين وكتبناها لين سيك طب الله
+
+406
+00:43:41,570 --> 00:43:47,630
+يعطيك العافية هيك اتفضلتنا كاملتنا النسب المثلثية
+
+407
+00:43:47,630 --> 00:43:54,850
+كلها الآن الستة بنعرفها يبقى لا عذر لأحد بعد ذلك
+
+408
+00:43:54,850 --> 00:44:02,510
+سواء اشتقاء النسب المثلثية أو تكامل النسب المثلثية 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/AXNE42XetEo_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/AXNE42XetEo_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..36470c81aad3f9d8b8b0c0f32b5d9df1c2c79093
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/AXNE42XetEo_postprocess.srt
@@ -0,0 +1,1632 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:12,570 --> 00:00:17,730
+بنرجع بالذاكرة الى الوراء للمحاضرة الماضية هاتلي
+
+3
+00:00:17,730 --> 00:00:25,990
+قيمة X التي تحقق هذه المعادلة تمام بيقول له كويس
+
+4
+00:00:25,990 --> 00:00:32,050
+ببطل في المثل هذه المشكلة
+
+5
+00:00:32,050 --> 00:00:38,320
+عند هذه يبقى هاد اللي حصل ضرب قيمتينأحد القيمتين
+
+6
+00:00:38,320 --> 00:00:43,480
+هي القيمة اللى موجودة عند الانوان شجرة تانية، اذا
+
+7
+00:00:43,480 --> 00:00:50,380
+هذه لو جيتها حلقة تالية بقول len اتنين x زائد واحد
+
+8
+00:00:50,380 --> 00:00:56,280
+زائد len ال X زائد اتنين، من وين جبت المعلومة هذه؟
+
+9
+00:00:57,050 --> 00:01:00,990
+من الخواصة اللي عملناها المرة اللي فاتت قلنا هذه
+
+10
+00:01:00,990 --> 00:01:06,530
+الخاصية في أربع نقاط حصل الضرب القسمة واحد على اكس
+
+11
+00:01:06,530 --> 00:01:10,150
+اكس to the power n تاخده للن يبقى هاي الأربع نقاط
+
+12
+00:01:10,150 --> 00:01:16,090
+اللي كانوا في هذه الخاصية يبقى هذا الكلام بده ساوي
+
+13
+00:01:16,090 --> 00:01:22,810
+اتنين لن ال X زائد اتنينبقى انا باطلع المقدار اللي
+
+14
+00:01:22,810 --> 00:01:28,070
+انا هبقى يقول المقدار هذا من نفس ال form يبقى هذا
+
+15
+00:01:28,070 --> 00:01:33,490
+بدي اعطيك main اللي هو لين اتنين اكس زائد واحد
+
+16
+00:01:33,490 --> 00:01:37,990
+يساوي هذه لو قلت على الشجرة تانية بتجيك بإشارة من
+
+17
+00:01:37,990 --> 00:01:44,200
+بإشارة سالب بقولها انك ادهشاللي هو اتنين لن ال X
+
+18
+00:01:44,200 --> 00:01:53,340
+زائدي اتنين ناقص لن ال X زائد اتنين يبقى بناء عليه
+
+19
+00:01:53,340 --> 00:02:01,960
+أصبح عندي لن لن X زائد واحد بده يساوي طبعا أمامي
+
+20
+00:02:01,960 --> 00:02:11,960
+بدأت طريقة لين لتبسيط الطرف الأيمن2 لن ال X و لن X
+
+21
+00:02:11,960 --> 00:02:18,060
+زي 2 و لن X زي 2 واحدة بيظل عندي قداشة لن X زي 2
+
+22
+00:02:18,060 --> 00:02:22,580
+هذا لو استخدمت الجامعة مضطرة تمام؟ واحد أكتر مني
+
+23
+00:02:22,580 --> 00:02:27,570
+قال لأ استنى بدي أرجع الخواصبقول له كيف؟ جاله لن X
+
+24
+00:02:27,570 --> 00:02:32,010
+زائد اتنين لكل تربية بنقول له ماشي وهذه ناقص لن
+
+25
+00:02:32,010 --> 00:02:38,370
+بيصير لن ناقص لن تعني لن خارج القسمة يعني لن X
+
+26
+00:02:38,370 --> 00:02:43,890
+زائد اتنين لكل تربية على X زائد اتنين وبنختصر بدون
+
+27
+00:02:43,890 --> 00:02:47,570
+لن X زائد اتنين، مظبوط ولا لا؟ بنقول له والله
+
+28
+00:02:47,570 --> 00:02:51,600
+كلامك صح، هذه صحيحة وهذه صحيةيعني اللي يعمل الخطوة
+
+29
+00:02:51,600 --> 00:02:55,960
+الأولى صح و اللي يعمل الخطوة التانية صح يبقى بناء
+
+30
+00:02:55,960 --> 00:03:03,320
+عليه بدي يصير عندنا مين هذه ال N X زائد اتنين طيب
+
+31
+00:03:03,320 --> 00:03:11,030
+سؤال الآن احنا اثبتنا ان ال Mهذا اللي هو one to
+
+32
+00:03:11,030 --> 00:03:16,030
+one function ده لا increasing ثبتناه المرة الماضية
+
+33
+00:03:16,030 --> 00:03:21,390
+يبقى one to one مظبوط او لا؟ مدام one to one اذا
+
+34
+00:03:21,390 --> 00:03:26,450
+كان عندي صورتين متساويتين يبقى الأصل اللي لازم
+
+35
+00:03:26,450 --> 00:03:31,300
+يكون معله متساوي لأن ال end is one to oneيبقى هذا
+
+36
+00:03:31,300 --> 00:03:40,580
+بدي أخبرك أن 2x زائد 1 يسوى الـ x زائد 2 لأن الـ x
+
+37
+00:03:40,580 --> 00:03:47,000
+هو 1 to 1 طيب، بناءً عليه، حاسينا أن هنا x يسوى
+
+38
+00:03:47,000 --> 00:03:54,040
+كم؟ يسوى 1، إذن x تسوى 1 هي التي تحقق المعاملة
+
+39
+00:03:54,040 --> 00:04:01,530
+اللي أمامنا، بدنا نروح للمثال رقم 5رقم خمسة بيقول
+
+40
+00:04:01,530 --> 00:04:11,730
+find y prime for each of the following يعني بدنا
+
+41
+00:04:11,730 --> 00:04:21,950
+مشتقة كل مما يأتي نمرة واحد y تساوي x الجدرى
+
+42
+00:04:21,950 --> 00:04:30,230
+التربية إلى لنا ال xيبقى هذه تعتبر function وهذه
+
+43
+00:04:30,230 --> 00:04:35,250
+كلها تعتبر function تانية يبقى هذه مشتقة حاصل ضرب
+
+44
+00:04:35,250 --> 00:04:41,170
+الدالتين يبقى ايش بده يجعلنا هنا باجي بقول هذا بده
+
+45
+00:04:41,170 --> 00:04:47,050
+يعطينا ان y prime تساوي الدالة الأولى في مشتقة
+
+46
+00:04:47,050 --> 00:04:54,220
+الدالة التانية مشتقة الجذر واحدعلى اتنين الجدر في
+
+47
+00:04:54,220 --> 00:05:01,360
+مشتقة ما داخل الجدر يبقى واحد على اتنين الجدر
+
+48
+00:05:01,360 --> 00:05:06,620
+التربية لن ال X في مشتقة لن ال X اجتناقنا اللي
+
+49
+00:05:06,620 --> 00:05:11,740
+اجتناقناها المرة الماضية كانت واحد على X زائد
+
+50
+00:05:11,740 --> 00:05:17,260
+الدالة التانية الجدر التربية لن ال Xفي مستقل ال X
+
+51
+00:05:17,260 --> 00:05:24,080
+اللي مجددك بواحد صحيح بتروح هذه مع هذه يبقى أصبح
+
+52
+00:05:24,080 --> 00:05:30,660
+عندي ال Y prime يسوى واحد على اتنين الجدر التربيع
+
+53
+00:05:30,660 --> 00:05:39,480
+لن ال X زائد الجدر التربيع لمن؟ لن ال X طيب سؤال
+
+54
+00:05:39,480 --> 00:05:48,980
+التاني بدنا Y تساويX تربيع في الان ال X كل هذا أُس
+
+55
+00:05:48,980 --> 00:05:51,240
+كده ايش؟ أُس، أربعة
+
+56
+00:05:58,000 --> 00:06:04,500
+هذا قوس مرفوعة من القوس. لو رجعنا بالذاكرة إلى
+
+57
+00:06:04,500 --> 00:06:10,000
+الورق في calculus ايه؟ بجينا نقول القوس في القوس
+
+58
+00:06:10,000 --> 00:06:14,360
+مرفوعة لنفس القوس مطروح من واحد في مشتقة ما داخل
+
+59
+00:06:14,360 --> 00:06:20,520
+القوس.يفجأة هذا بدي أعطيك هاي القوس وهي القوس زي
+
+60
+00:06:20,520 --> 00:06:26,020
+ما هومرفوع للأس أربع ناقص واحد اللي يسوي جديش
+
+61
+00:06:26,020 --> 00:06:32,340
+تلاتة في مشتقة مداخل القوس مداخل القوس حاصل ضرب
+
+62
+00:06:32,340 --> 00:06:39,840
+دالتين هذه تعتبر دالة وهذه تعتبر دالة إذا X تربيها
+
+63
+00:06:39,840 --> 00:06:46,670
+في مشتقة ضمن ال X اللي بواحد على Xزائد لن ال X في
+
+64
+00:06:46,670 --> 00:06:51,530
+مشتقة ال X ثربية ليه بيبقى كده ايش؟ اتنين X لو
+
+65
+00:06:51,530 --> 00:06:58,950
+قعدنا ترتيبها يبقى اربعة في X ثربية لن ال X الكل
+
+66
+00:06:58,950 --> 00:07:09,650
+تكيب في X زائد اتنين X لن ال X طب السؤال التالت
+
+67
+00:07:12,200 --> 00:07:27,860
+يقول لي Y تساوي لن للن ثلاثة X زائد أربعة لن لن لن
+
+68
+00:07:27,860 --> 00:07:29,020
+لن لن لن لن لن لن لن لن لنا لنا لنا لنا لنا لنا
+
+69
+00:07:29,020 --> 00:07:29,080
+لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا
+
+70
+00:07:29,080 --> 00:07:29,160
+لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا
+
+71
+00:07:29,160 --> 00:07:31,680
+لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لوإن لو
+
+72
+00:07:31,680 --> 00:07:38,040
+كانت الـ U هي دالة قابلة للاشتقاق في X فإن مشتقة
+
+73
+00:07:38,040 --> 00:07:46,700
+دي على دي X لإن الـ U هي عبارة عن مين؟ واحد على U
+
+74
+00:07:46,700 --> 00:07:52,760
+دي U على دي X إذن هذا القادر الطبق على الاشتقاق
+
+75
+00:07:52,760 --> 00:07:59,220
+لإن هذا كل اللي داخل الـ Lin هذا كله هذا بدي
+
+76
+00:07:59,220 --> 00:08:06,670
+أعتبره بـ Uيبقى واحد على هذا المقدار في مشتقة هذا
+
+77
+00:08:06,670 --> 00:08:15,610
+المقدار يبقى بادرسه لأن Y' يساوي واحد على لن تلاتة
+
+78
+00:08:15,610 --> 00:08:23,550
+X زائد أربعة في مين؟ في مشتقة اللي بين القوسين هذا
+
+79
+00:08:23,550 --> 00:08:31,440
+يبقى كدهش مشتقة واحد على تلاتة Xزائد أربعة في
+
+80
+00:08:31,440 --> 00:08:37,560
+مشتقة مداخل الان اللي هو الجداش بتلاتة يعني اطبقت
+
+81
+00:08:37,560 --> 00:08:46,880
+chain rule بدل المرة مرتين طبعا مرة تانية بقول انه
+
+82
+00:08:46,880 --> 00:08:53,140
+way to say لن لن تلاتة x زائد أربعةيعني بدي اخد لن
+
+83
+00:08:53,140 --> 00:08:57,560
+تلاتة و اكتر زي اربعة بطلع لعدد بدي اخد لن هذا
+
+84
+00:08:57,560 --> 00:09:02,220
+المقدار كمان مرة و بعدين اشتققه يبقى الاشتقاق بدي
+
+85
+00:09:02,220 --> 00:09:06,310
+يكون للن اللي برا و اللي جوا كلها بدي اعتبرهااللي
+
+86
+00:09:06,310 --> 00:09:11,490
+هي دالة U دالة قابل الاشتقاق في X فبجي بقول ال Y'
+
+87
+00:09:11,910 --> 00:09:17,750
+واحد على U زي ما كتبنا هناك يبقى واحد على المقدار
+
+88
+00:09:17,750 --> 00:09:24,070
+هذا كله في DU على DX مشتقة هذا المقدار كله مشتقة
+
+89
+00:09:24,070 --> 00:09:28,550
+LIN تلاتة X زيادة أربعة يعني واحد على تلاتة X
+
+90
+00:09:28,550 --> 00:09:32,270
+زيادة أربعة في مشتقة تلاتة X زيادة أربعة اللي هو
+
+91
+00:09:32,270 --> 00:09:37,750
+مابي داخل ال LIN اللي مابيقداش بتلاتةيبقى هنا
+
+92
+00:09:37,750 --> 00:09:51,190
+exercise يبقى هنا exercise يبقى
+
+93
+00:09:51,190 --> 00:09:51,270
+exercise يبقى هنا exercise يبقى هنا exercise يبقى
+
+94
+00:09:51,270 --> 00:09:53,590
+هنا exercise يبقى هنا exercise يبقى هنا exercise
+
+95
+00:09:53,590 --> 00:09:54,290
+يبقى هنا exercise يبقى هنا exercise يبقى هنا
+
+96
+00:09:54,290 --> 00:09:54,370
+يبقى هنا exercise يبقى هنا exercise يبقى هنا
+
+97
+00:09:54,370 --> 00:10:00,670
+هنا exercise يبقى هنا exercise يبقى هنا
+
+98
+00:10:00,670 --> 00:10:06,050
+exercise
+
+99
+00:10:06,050 --> 00:10:11,130
+يبيبقى اللي جوا هو هذا اللي بين قصيرين كله باعتبره
+
+100
+00:10:11,130 --> 00:10:16,390
+يبقى واحد على هذا المقدار فيه مشتقته ومشتقته هو
+
+101
+00:10:16,390 --> 00:10:21,030
+السؤال اللي من فوق صح ولا لا؟ يبقى very easy صار
+
+102
+00:10:21,030 --> 00:10:27,270
+طيب، هذا اللي هو السؤال الرقم تلاتة
+
+103
+00:10:51,720 --> 00:10:57,840
+سؤال رقم اربعة
+
+104
+00:10:57,840 --> 00:11:09,450
+سؤال رقم اربعة بدنا y تساوي اللي هو الجهز الجذر
+
+105
+00:11:09,450 --> 00:11:16,530
+التربية إلى X زائد واحد مقسوما على تلاتة زائد X
+
+106
+00:11:16,530 --> 00:11:17,070
+تربية
+
+107
+00:11:21,770 --> 00:11:26,410
+يبقى واحد على اللي داخل الان فيه مشتقة مداخل الان
+
+108
+00:11:26,410 --> 00:11:31,730
+ومداخل الان خارج قسم الدالتين المقام في مشتقة البص
+
+109
+00:11:31,730 --> 00:11:35,770
+ناقص البص في مشتقة المقام على مربع المقام الأصل
+
+110
+00:11:35,770 --> 00:11:41,500
+والله هذه كل كعجل شكل، مظبوط؟لكن احنا ممكن نلطف
+
+111
+00:11:41,500 --> 00:11:46,900
+شكل المسألة ثم نقوم بعملية الاشتغال ده لطف المسألة
+
+112
+00:11:46,900 --> 00:11:51,880
+كيف؟ من الخواص هذا لن خارج مصر من المقدارين بقول
+
+113
+00:11:51,880 --> 00:11:56,180
+لن الأول ناقص لن التاني يعني لن البص ناقص لن
+
+114
+00:11:56,180 --> 00:12:02,660
+المقام يبقى لن الجذر التربية إلى X زائد واحد ناقص
+
+115
+00:12:02,660 --> 00:12:10,510
+لن تلاتة زائد X تربيةيبقى اصبحت عندي Y تساوي الان
+
+116
+00:12:10,510 --> 00:12:14,230
+لن الجدر التربية ل X زائد واحد يعني X زائد واحد
+
+117
+00:12:14,230 --> 00:12:20,810
+قوس نص من خواف اللن النص بطلع برا اللن يبقى بصير
+
+118
+00:12:20,810 --> 00:12:29,610
+نص لن X زائد واحد وهذا بصير لن تلاتة زائد لن X
+
+119
+00:12:29,610 --> 00:12:36,740
+تربية مظبوط غيرأي و يرجع إياك واحد يعمل الشغل هذي
+
+120
+00:12:36,740 --> 00:12:41,380
+اللي لا بتدخل على ناقص ولا بتدخل على زايد، بتدخل
+
+121
+00:12:41,380 --> 00:12:46,180
+على حاصل الضرب و خارج القسمة فقط، لا غير، يبقى
+
+122
+00:12:46,180 --> 00:12:49,780
+بناء عليها دي ماجدرش أعمل فيها ولا حاجة فبنزلها
+
+123
+00:12:49,780 --> 00:12:55,390
+كما هيالحين هذه انا اكتبت المثال هذه أبسط من اللي
+
+124
+00:12:55,390 --> 00:13:00,030
+فوق كتير اذا عملية الاشتراك اللي هيبقى سهلة يبقى
+
+125
+00:13:00,030 --> 00:13:07,450
+يبدو Y' يسوى نصف في واحد على X زائد واحد لمشتقة
+
+126
+00:13:07,450 --> 00:13:14,190
+مداخل الـN اللي هو في جداش بواحد ناقص واحد على
+
+127
+00:13:14,190 --> 00:13:22,970
+تلاتة زائد X عربية في جداش في اتنين Xطيب السؤال
+
+128
+00:13:22,970 --> 00:13:35,050
+الخامس ال Y تسوى لإن افتح جوس الجدري التربية اللي
+
+129
+00:13:35,050 --> 00:13:41,010
+واحد زائد X تربية في sign 3X
+
+130
+00:13:43,520 --> 00:13:53,640
+يبقى 1 على sin 3x في تفاضل ال sin ب cos 3x لمشتقة
+
+131
+00:13:53,640 --> 00:13:59,560
+الزاوية اللي هي ب3إذاً النتيجة كالتالي اتنين مع
+
+132
+00:13:59,560 --> 00:14:05,060
+النص الله يسهل عليها بيقول ايه ماجداش؟ بيقول X على
+
+133
+00:14:05,060 --> 00:14:13,520
+واحد زائد X تربيع زائد تلاتة كصين على صين كداش؟
+
+134
+00:14:13,520 --> 00:14:23,220
+ابكتان لتلاتة X السؤال السادس السؤال السادس بيقول
+
+135
+00:14:23,220 --> 00:14:33,880
+لي Y تساوي Xتان للم ال X إزاي كل تبعة التان هي للم
+
+136
+00:14:33,880 --> 00:14:38,420
+ال X؟ يبقى هذه مشتقة حاصل ضرب مش عارف دلتين ولا
+
+137
+00:14:38,420 --> 00:14:44,380
+تلاتة هذهتنتين ولا تلاتة؟ تنتين لأن التان او
+
+138
+00:14:44,380 --> 00:14:49,740
+النسبة المثلثية لا معنى لها بدون الزاوية لازم تكون
+
+139
+00:14:49,740 --> 00:14:54,780
+الزاوية موجودة عندى حتى اقدر ايه حتى اقدر اللى هو
+
+140
+00:14:54,780 --> 00:15:01,760
+اشتق اذا هذه دالة وهذه كلها دالة تانية يبقى باجب
+
+141
+00:15:01,760 --> 00:15:06,320
+اقول لهم why prime يساوي الدالة لنا مشتقة التان
+
+142
+00:15:07,370 --> 00:15:14,490
+زكروني في جداش؟ سكتة ربيع يبقى سكتة ربيع لإن ال X
+
+143
+00:15:14,490 --> 00:15:20,890
+طرب مشتقة إزاية طبقا لل chain rule مشتقة إزاية في
+
+144
+00:15:20,890 --> 00:15:26,110
+جداش؟ واحد على X يعني مشتقة لإن ال X اللي بيبقى
+
+145
+00:15:26,110 --> 00:15:34,290
+واحد على Xطبعا يبقى هذا الأولى في مشتقة مين الدالة
+
+146
+00:15:34,290 --> 00:15:39,910
+الثانية زائد الدالة التانية اللى هى tan للن ال X
+
+147
+00:15:39,910 --> 00:15:45,030
+في مشتقة الأولى اللى هى بقاش واحد صحيح عندك هنا X
+
+148
+00:15:45,030 --> 00:15:50,150
+وهنا واحد على X مع السلامة يبقى بتقول النتيجة إلى
+
+149
+00:15:50,150 --> 00:15:58,470
+سكتة ربيع للن ال X زائد tan للن ال X كذلك
+
+150
+00:16:02,570 --> 00:16:08,030
+السؤال السابع يقول
+
+151
+00:16:08,030 --> 00:16:15,950
+لي Y تساوي تكامل من X تربيع إلى X تكييب ل T للنتي
+
+152
+00:16:15,950 --> 00:16:21,070
+DT بدنا
+
+153
+00:16:21,070 --> 00:16:25,750
+اشتقاق للتكامل مرت علينا شغل زي هذه؟
+
+154
+00:16:31,070 --> 00:16:36,890
+كان اسم الـ Fundamental Theory of Calculus
+
+155
+00:16:36,890 --> 00:16:39,190
+والنتجتين اللي موجودتين عليها
+
+156
+00:16:43,170 --> 00:16:49,230
+بنكرر هذه المسائل في الامتحانات كتير نظرا لأهميتها
+
+157
+00:16:49,230 --> 00:16:58,130
+يبقى جمل مبدأ حلو بنقول هنا D على DX لمين؟ لتكامل
+
+158
+00:16:58,130 --> 00:17:08,050
+من H of X لل G of X لل F of T دي T بتساوي بنشيل كل
+
+159
+00:17:08,050 --> 00:17:13,870
+T في الدلة F of T وبحط بدلها مين؟G of X و بروح
+
+160
+00:17:13,870 --> 00:17:17,870
+بضرب في مشتقة الـ G of X تبقى اللي هتشين رول بعد
+
+161
+00:17:17,870 --> 00:17:23,290
+هيك اللي أعملته ل G بدي أعمل ل H بالضبط تماما بس
+
+162
+00:17:23,290 --> 00:17:30,910
+بإشارة سالف يبقى هذه F R بنشيل ال T و بنكتب مكانها
+
+163
+00:17:30,910 --> 00:17:40,060
+G of X في مشتقة الـ G of Xفبقى لـ h and o اللي
+
+164
+00:17:40,060 --> 00:17:42,720
+عملناه للدالة اللى فوق بنعمله للدالة اللى تحت
+
+165
+00:17:42,720 --> 00:17:51,640
+ماحدش أحسن من حد يبقى ال f لل h of x في ال h prime
+
+166
+00:17:51,640 --> 00:17:58,880
+of x خلّي هذه المعلومة عندك درورى جدا و بدنا
+
+167
+00:17:58,880 --> 00:18:05,230
+نطبقها على مين على السؤال بتاعناإذا انا هشيل كل T
+
+168
+00:18:05,230 --> 00:18:13,730
+و اكتب منها X تكييب لإن
+
+169
+00:18:13,730 --> 00:18:22,910
+X تكييب كل هذا مضروب في G' يعني مشتقت من X تكييب
+
+170
+00:18:25,830 --> 00:18:30,290
+اللي عملناه لل X تكييب هنعمله لمين؟ لل X تربية
+
+171
+00:18:30,290 --> 00:18:36,730
+يبقى ناقص X تربية لن X تربية في مشتقة ال X تربية
+
+172
+00:18:36,730 --> 00:18:45,450
+لإتنين X هنعيد ترتيب المثل يبقى هذا بالصير تلاتة X
+
+173
+00:18:45,450 --> 00:18:50,810
+أُس خمسة وهذه لن X تكييب اللي هي عبارة عن مين؟
+
+174
+00:18:50,810 --> 00:18:58,670
+تلاتة في لن Xخلاص ما منها هذه ناقص اتنين X تكييب
+
+175
+00:18:58,670 --> 00:19:06,970
+في كذلك اتنين لن ال X يبقى بصير هذه تسعة X أس خمسة
+
+176
+00:19:06,970 --> 00:19:15,050
+لن ال X ناقص اربعة X تكييب لن ال X يبقى هذا الجواب
+
+177
+00:19:15,050 --> 00:19:24,630
+النهائي لمين لهذه الدالة طيب سؤال التامنيقول لي Y
+
+178
+00:19:24,630 --> 00:19:34,990
+تساوي X أُس تاني X أظن
+
+179
+00:19:34,990 --> 00:19:40,530
+أول مرة أشوف سؤال بهذا الشكلدائما وابدا في كل كنص
+
+180
+00:19:40,530 --> 00:19:47,190
+A بيجينا نقول الأساس متغير والأس مقدار ثابت يعني
+
+181
+00:19:47,190 --> 00:19:51,990
+بدنا مشتقة مثلا X تكيب X أس خمسة X ثربية زائد
+
+182
+00:19:51,990 --> 00:19:56,370
+تلاتة إلى آخره دائما الأس ثابت والأساس متغير هنا
+
+183
+00:19:56,370 --> 00:20:03,170
+الأساس متغير والأس كذلك متغير إذا من الآن فصاعدا
+
+184
+00:20:03,390 --> 00:20:07,570
+التكتيك اللى بدنا نتبعه عند حل هذا السؤال، بدك
+
+185
+00:20:07,570 --> 00:20:13,090
+تتبعه عند حل أي سؤال مشابه، يعني أي سؤال الأساس
+
+186
+00:20:13,090 --> 00:20:17,570
+تبقى متغير و الأس تبقى متغير، بدك تتعامله بنفس
+
+187
+00:20:17,570 --> 00:20:21,650
+الطريقة اللى بدنا نعمل بها هذا السؤال طب إيش نعمل
+
+188
+00:20:21,650 --> 00:20:31,060
+يا شباب؟ناخد لن للطرفين يبقى بناجي أقول له هنا لن
+
+189
+00:20:31,060 --> 00:20:41,530
+ال Y بدها تساوي لن X أس تاني Xهذا بدي اعطيك ان لن
+
+190
+00:20:41,530 --> 00:20:46,710
+ال Y يبقى
+
+191
+00:20:46,710 --> 00:20:53,330
+يساوي تان ال X في لن ال X يبقى المسألة عندي أخدت
+
+192
+00:20:53,330 --> 00:20:59,610
+شكلا جديدا غير الشكل تبعها المتعرف عليه تمام؟ يبقى
+
+193
+00:20:59,610 --> 00:21:04,890
+مشتقة الطرفين بنا نيجي ل لن ال Y تعرف تشتق ل لن ال
+
+194
+00:21:04,890 --> 00:21:11,700
+Y اسمع يا شبابلأن ال Y بتعرف تشتقها 1 على Y بس
+
+195
+00:21:11,700 --> 00:21:15,700
+قولنا
+
+196
+00:21:15,700 --> 00:21:21,320
+لو كانت ال U دالة قبل الاشتقاق في X فإن مشتقة لأن
+
+197
+00:21:21,320 --> 00:21:26,320
+ال U كتبتها قبل قليل هي 1 على U في دي U على دي X
+
+198
+00:21:26,320 --> 00:21:34,060
+هنا Y دالة في Xإذا مشتقت لي إن الـY هي 1 على Y دي
+
+199
+00:21:34,060 --> 00:21:38,840
+Y على دي X أو Y'، ماشي، إذا الطرف الشمال لو جت
+
+200
+00:21:38,840 --> 00:21:44,980
+اشتقه، بدي يكون 1 على Y في الـY' يستوي، الطرف
+
+201
+00:21:44,980 --> 00:21:53,470
+اليمين حاصل ضرب دلتينيبقى الدالة الأولى في مشتقة
+
+202
+00:21:53,470 --> 00:21:59,650
+الدالة الثانية، زائد الدالة الثانية في مشتقة
+
+203
+00:21:59,650 --> 00:22:06,630
+الأولى، كدهش مشتقة التان؟ sector V، ماشي يلا
+
+204
+00:22:06,630 --> 00:22:13,350
+موافقين، sector V على ال Xطيب انا بديش واحد على Y
+
+205
+00:22:13,350 --> 00:22:17,230
+في ال Y prime بدي Y prime لحاله يبقى بروح بضرب
+
+206
+00:22:17,230 --> 00:22:22,590
+الطرفين في مين؟ في ال Y يبقى هذا بدي اعطيلك ان Y
+
+207
+00:22:22,590 --> 00:22:32,910
+prime يسوى Y في تان ال X على X زائد لن ال X في
+
+208
+00:22:32,910 --> 00:22:39,150
+مين؟ في سكتر بيه ال Xالجواب مزوج، في لونين من
+
+209
+00:22:39,150 --> 00:22:44,230
+المتغيرات، إيش X وإيش Y، بدي الـ Shake بتخليه ليه
+
+210
+00:22:44,230 --> 00:22:48,950
+كله لون واحد، يعني أنا بدي المشتقة للـ Y بدلالة
+
+211
+00:22:48,950 --> 00:22:54,510
+من؟ بدلالة X، إذا بقدر أشير Y هادي و أحط قيمته
+
+212
+00:22:54,510 --> 00:23:00,130
+اللي هي من راس المسألة اللي موجودة عندناطيب يبقى
+
+213
+00:23:00,130 --> 00:23:05,030
+بناء اللي عليه البصير عندي ال Y Prime يسوى X أُس
+
+214
+00:23:05,030 --> 00:23:14,730
+تاني ال X في مين؟ في تاني ال X على X زائد لن ال X
+
+215
+00:23:14,730 --> 00:23:22,110
+في سكتر بال X طيب
+
+216
+00:23:22,110 --> 00:23:30,310
+خُلي سؤال تسعةهذا السؤال كان اشتقاق صريح ال Y في
+
+217
+00:23:30,310 --> 00:23:35,850
+شجة وال X في شجة تانية خلّيني ناخد اشتقاق ضمني فلو
+
+218
+00:23:35,850 --> 00:23:45,730
+جيت قلت لك اتنين Y أس X مثلا تساوي ال X أس Y ترمية
+
+219
+00:23:50,670 --> 00:23:54,770
+مش قادر اخل ال Y في الشجة و ال X في الشجة يبقى هذا
+
+220
+00:23:54,770 --> 00:24:00,330
+اشتقاقيا ضمنى لكن مادام ضمنى بسط المثل بعدين يروح
+
+221
+00:24:00,330 --> 00:24:05,390
+يشتق مظبوط يبقى زي ما عملنا فوق بدنا نعمل في هذا
+
+222
+00:24:05,390 --> 00:24:10,950
+السوان بناخد لن للطرفين إذا لو أخدنا لن للطرفين
+
+223
+00:24:10,950 --> 00:24:18,830
+هذا ايش بيعطيلك X فلن اتنين Y يساوي Y ترابية فلن X
+
+224
+00:24:26,000 --> 00:24:32,740
+تمام؟ طيب يبقى الصحارات كل واحدة فيهم مشتقة حاصل
+
+225
+00:24:32,740 --> 00:24:36,400
+ضرب دالتي اللي كانت كمان مشجعة نفس الواي في شجة
+
+226
+00:24:36,400 --> 00:24:42,020
+والاكسس في شجة يبقى فاضل تفاضلا ضمنيا implicit
+
+227
+00:24:42,020 --> 00:24:46,970
+differentiationبنفضل كل واحد في مكانه مع مراعاة
+
+228
+00:24:46,970 --> 00:24:52,590
+قواعد الاشتقاق. هذه تعتبر function، هذه function
+
+229
+00:24:52,590 --> 00:24:57,250
+تانية، هذه function، هذه function تانية، يبقى كل
+
+230
+00:24:57,250 --> 00:25:02,930
+من الطرفين عبارة عن حاصل ضرب بقلتين وبدأ نشتقهم.
+
+231
+00:25:03,470 --> 00:25:09,650
+يبقى ده الأولى. بدأ نشتق اللي هو لن اثنين واحد،
+
+232
+00:25:09,650 --> 00:25:11,110
+تعرف؟
+
+233
+00:25:13,570 --> 00:25:16,470
+هو اللي دخل عرب لإن اثنين و واحد مننا اشتغل مش أنت
+
+234
+00:25:16,470 --> 00:25:21,780
+اللي وراك يا راجلممتاز يبقى واحد على اتنين Y في
+
+235
+00:25:21,780 --> 00:25:28,780
+مشتقة اتنين Y اللي هي باتنين Y prime يبقى ال X في
+
+236
+00:25:28,780 --> 00:25:34,480
+واحد على اتنين Y في مشتقة اتنين Y اللي هي باتنين Y
+
+237
+00:25:34,480 --> 00:25:38,700
+prime يبقى الدالة الأولى في مشتقة الدالة الثانية
+
+238
+00:25:38,700 --> 00:25:44,920
+زائد الدالة الثانية في مشتقة الأولى اللي هي بواحد
+
+239
+00:25:44,920 --> 00:25:53,640
+يساويبدنا نيجي برضه الأولى Y تربية في مشتقة
+
+240
+00:25:53,640 --> 00:26:00,160
+الثانية ليه واحد على X زائد لن ال X بدنا نشتق Y
+
+241
+00:26:00,160 --> 00:26:05,900
+تربية ايوة يا اخي العرب انت رقم تلاتة ايوة بدنا
+
+242
+00:26:05,900 --> 00:26:12,020
+مشتقة Y تربية ايوة بدنا مشتقة Y تربية بس
+
+243
+00:26:16,190 --> 00:26:20,910
+بتسمعوا وبعدين شوفوا يا عزيزي كمش تقلط Y تربية؟ من
+
+244
+00:26:20,910 --> 00:26:27,270
+Y انا اجيب في المعلومة هذه من B ولا من M؟ كالقلص B
+
+245
+00:26:27,270 --> 00:26:32,850
+ولا كالقلص A؟ كالقلص A لأنه أنا اشتقت بالنسبة ل X
+
+246
+00:26:32,850 --> 00:26:38,510
+لكن لو كان اشتقق بالنسبة ل Y نقلت 2Y وسكتنا لكن
+
+247
+00:26:38,510 --> 00:26:44,890
+كله بالنسبة ل X يجب انا اقول في 2Y في ال Y ال
+
+248
+00:26:44,890 --> 00:26:51,500
+primeإتنين مع اتنين بتروح، بيبقى اللي عندى x على y
+
+249
+00:26:51,500 --> 00:26:58,120
+في ال y prime زائد لإن اتنين y بده يساوي y تربيه
+
+250
+00:26:58,120 --> 00:27:07,720
+على x زائد اتنين y لإن ال x في من؟ في ال y prime
+
+251
+00:27:09,220 --> 00:27:13,360
+بنقدر نجيب هادي و هادي عند بعض و ناخد واي عامل
+
+252
+00:27:13,360 --> 00:27:17,400
+مشترك و ننقل هادي عند هادي على الشجة التانية و
+
+253
+00:27:17,400 --> 00:27:20,900
+بعدين نقسم على المعامل واي فرايم على هى حال هذا
+
+254
+00:27:20,900 --> 00:27:25,800
+شغل روتيني لكن احنا العمودي الفقري في المسألة اللى
+
+255
+00:27:25,800 --> 00:27:28,820
+هو الاشتغال طيب لو جالك سؤال اللى سمح الله ترفع
+
+256
+00:27:28,820 --> 00:27:33,900
+ضمن ضمن زي اك بس فاضل ايام من الأول للآخر الصحهوح
+
+257
+00:27:33,900 --> 00:27:38,200
+و خليه بس هذا التفاضل صحيح و خد ال full mark بس
+
+258
+00:27:38,200 --> 00:27:44,180
+يلا اشتغل هالشغلة طيب هذا كان اللي هو المثال رقم
+
+259
+00:27:44,180 --> 00:27:49,340
+قداش تسعة لا سيبك احنا تسعة دول من ضمن المثال
+
+260
+00:27:49,340 --> 00:27:58,760
+الخامس نجي للمثال السادس المثال
+
+261
+00:27:58,760 --> 00:28:02,180
+السادس بقول use
+
+262
+00:28:05,530 --> 00:28:20,770
+logarithmic differentiation to
+
+263
+00:28:20,770 --> 00:28:31,230
+find y prime for the function y تساوي
+
+264
+00:28:50,950 --> 00:28:53,770
+السؤال اللى جابله جالى هاتلى y prime
+
+265
+00:28:58,670 --> 00:29:05,170
+هذا يجب أن
+
+266
+00:29:05,170 --> 00:29:11,190
+تشتغل بطريقة محددة لغارتماك ديفرانشيان يعني تأخذ
+
+267
+00:29:11,190 --> 00:29:17,650
+التفاضل اللغارتمي يعني التفاضل لمن؟ للن يجب أن
+
+268
+00:29:17,650 --> 00:29:21,930
+تأخذ اللن للدرد طبعا بقدر أفضلها بدون التفاضل
+
+269
+00:29:21,930 --> 00:29:29,670
+اللغارتميبدي أقول .. بدي أقول التفاضل هذه المقام
+
+270
+00:29:29,670 --> 00:29:32,830
+في مشتقة الباص، نقص الباص في مشتقة المقام على مربى
+
+271
+00:29:32,830 --> 00:29:36,610
+المقام، ما شاء الله عليها، مكلكة على كذا، تمام؟
+
+272
+00:29:36,610 --> 00:29:39,830
+إذا لما قال يوزي التفاضل اللي وارتني، بدي أروح أخد
+
+273
+00:29:39,830 --> 00:29:45,100
+لن لق برفين، ثم أفاضلإيش رايك احنا بدل السؤال
+
+274
+00:29:45,100 --> 00:29:50,700
+اتنين هاي و هذا و اين راح ال X هذا و اللي جابله ال
+
+275
+00:29:50,700 --> 00:29:53,820
+X استانكس اشتغلناهم تفاض اللغة لغة لغة لغة لغة لغة
+
+276
+00:29:53,820 --> 00:30:04,640
+لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة
+
+277
+00:30:04,660 --> 00:30:10,340
+كويس؟ يبقى هنا جالك تفاض اللغة الرتمية، ماجالش حتى
+
+278
+00:30:10,340 --> 00:30:14,700
+لو ماجالش أفضل حاجة أو أسهل حاجة تروح تاخد مين؟
+
+279
+00:30:14,700 --> 00:30:19,140
+اللن للطرفين و بعدين تروح تشتغل مين؟ شغل تبعك، إذا
+
+280
+00:30:19,140 --> 00:30:24,580
+لو جيت أخدت اللن للطرفين، تصير اللن شمال بدي ساوي
+
+281
+00:30:24,580 --> 00:30:30,500
+مين؟لأن الطرف اليمين خارق قسم الدلتين يبقى لن
+
+282
+00:30:30,500 --> 00:30:37,020
+الباصد ناقص لن المقاد يبقى لن X الجدرى التربية إلى
+
+283
+00:30:37,020 --> 00:30:44,620
+X تربية زائد واحد ناقص لن خمسة X زائد واحد أس
+
+284
+00:30:44,620 --> 00:30:54,090
+طولتينبنبسطها أكتر لإن ال y يساوي لإن ال x زائد
+
+285
+00:30:54,090 --> 00:30:59,750
+لإن الجدرى التربية ال x تربية زائد واحد كميتين
+
+286
+00:30:59,750 --> 00:31:04,210
+مضربتين في بعض يبقى لإن الأولى زائد لإن الثانية
+
+287
+00:31:04,210 --> 00:31:10,890
+هذه كمان تعتبر كمية وهذه كمية لحالها يبقى ناقص لإن
+
+288
+00:31:10,890 --> 00:31:18,520
+الخمسة ناقص لإن x زائد واحد أس تلتينصحك تاتي ايك
+
+289
+00:31:18,520 --> 00:31:24,800
+ناقص ناقص صحيح ان مائة بالمائة بيقول ناقص افتح جوز
+
+290
+00:31:24,800 --> 00:31:28,880
+لن الاولى زايد لن التانى الناقص بدخل على كل واحدة
+
+291
+00:31:28,880 --> 00:31:34,580
+منهم فبنقدر نبسط اكتر كمان يبقى هذا الكلام اللي هو
+
+292
+00:31:34,580 --> 00:31:42,480
+لن ال Y بديه يسوى لن ال X زايد نص اللي هو لن X
+
+293
+00:31:42,480 --> 00:31:45,240
+تربيع زايد واحد
+
+294
+00:31:48,170 --> 00:31:56,430
+تمام؟ و هنا ناقص لن الخمسة و ناقص تلتين لن ال X
+
+295
+00:31:56,430 --> 00:32:04,210
+زائد واحد اكتر من هكتر شيء مافيش، تمام؟ يبقى بقدر
+
+296
+00:32:04,210 --> 00:32:09,050
+اقوله هذا الكلام بدي ابدأ اشتقه يبقى مشتقة لن ال Y
+
+297
+00:32:09,050 --> 00:32:15,600
+عبارة عن مين؟ واحد على Y في ال Y'مشتقة لن الاكس
+
+298
+00:32:15,600 --> 00:32:23,800
+واحد على اكس زائد نص و هنا واحد على اكس تربية زائد
+
+299
+00:32:23,800 --> 00:32:29,880
+واحد في مشتقة مداخل اللن اللي هو الجداش اتنين اكس
+
+300
+00:32:29,880 --> 00:32:36,000
+ناقص لن الخمسة مشتقة واحد على خمسة يعني خمس مظبوط
+
+301
+00:32:36,000 --> 00:32:44,390
+هيك؟غلط يعني كلامي؟ غلط بل هو الغلط بعينه لإن لن
+
+302
+00:32:44,390 --> 00:32:49,410
+خمسة كله constant مقدر ثابت ومشتقة constant بقداش
+
+303
+00:32:49,410 --> 00:32:53,550
+مش روح واحد يقولك اكتبلي خمس تاني مرة ولاش ايه
+
+304
+00:32:53,550 --> 00:32:57,430
+يبقى لن ان شاء الله يكون خمسة مليون مشتقة ب zero
+
+305
+00:32:57,430 --> 00:33:05,250
+مش خمسة و بس يبقى لن الخمسة ب zero ناقص تلتين و لن
+
+306
+00:33:05,250 --> 00:33:14,040
+هذه اللي هو بواحدعلى واحد على الهمين X زائد واحد
+
+307
+00:33:14,040 --> 00:33:19,300
+في مشتقة مداخل اليوم واحد صحيح طيب احنا بدنا اشهد
+
+308
+00:33:19,300 --> 00:33:24,620
+بيدنا Y prime يبقى بروح بضغط في مين؟فى Y مين هي ال
+
+309
+00:33:24,620 --> 00:33:29,880
+Y هذه راس المسألة اللى فوق إذا بشيل ال Y و بحط قمة
+
+310
+00:33:29,880 --> 00:33:36,600
+ل X فى الجدرى الترابيعى X ترابيع زائد واحد كله على
+
+311
+00:33:36,600 --> 00:33:43,780
+خمسة في X زائد واحد قصة التين في واحد على X طبعا
+
+312
+00:33:43,780 --> 00:33:52,160
+نص مع اتنين الله يسهل عليه بضل زائد Xزائد X على X
+
+313
+00:33:52,160 --> 00:33:59,940
+تربية زائد واحد نقص اتنين ع تلاتة في X زائد واحد
+
+314
+00:33:59,940 --> 00:34:07,500
+هذا كان المثال رقم ستة بدنا نروح لمثال رقم سبعة
+
+315
+00:34:07,500 --> 00:34:17,000
+evaluate the following integrals
+
+316
+00:34:18,610 --> 00:34:26,250
+يحسب لي كل من التكاملات التالية التكامل الأول امن
+
+317
+00:34:26,250 --> 00:34:33,570
+السائل ايوة سطر
+
+318
+00:34:33,570 --> 00:34:39,110
+الثاني هنا امن يبقى
+
+319
+00:34:39,110 --> 00:34:42,190
+..
+
+320
+00:35:02,160 --> 00:35:06,040
+طبعا احنا في calculus ايه كملنا ال sine و ال
+
+321
+00:35:06,040 --> 00:35:10,120
+cosine مجرود و قلنا تكامل cosine ال X هو
+
+322
+00:35:14,470 --> 00:35:21,070
+تكامل sin x هو سالب cos x زاد constant وقلنا لكم
+
+323
+00:35:21,070 --> 00:35:26,090
+باقى الاربع نسب اللى يعيش ويسجل كالكلص بيه بنكمله
+
+324
+00:35:26,090 --> 00:35:32,130
+الاربع نسب الأخرى ونحن اليوم نافي بوعدنا اللى
+
+325
+00:35:32,130 --> 00:35:38,280
+وعدناكم إياه في الفصل الأوليبقى الـSin و الـCos
+
+326
+00:35:38,280 --> 00:35:41,360
+كملوهم، بنيجي الآن للأربع نسم الأخر، راح نكملهم
+
+327
+00:35:41,360 --> 00:35:46,760
+الحين فورا قبل أن ندخل إلى باقي الأمثلة، بنيجي
+
+328
+00:35:46,760 --> 00:35:54,180
+لتكامل كتان الـX DX هو عبارة عن تكامل ليه؟ الكتان
+
+329
+00:35:54,180 --> 00:35:59,540
+هي عبارة عن كسين على الـSin، يبقى كسين الـX على
+
+330
+00:35:59,540 --> 00:36:06,630
+الـSin الـX كله بالنسبة إلى DXنرجع بالذاكرة إلى
+
+331
+00:36:06,630 --> 00:36:13,010
+الورق للمحاضرة الماضية أخر خاصية من خواص لن ال X
+
+332
+00:36:13,010 --> 00:36:18,450
+بقولنا تكامل 1 على X DX يسوى لن absolute value X
+
+333
+00:36:18,450 --> 00:36:23,820
+زايد كل أسطن C صحيح؟و روحنا عمّمناها و قولنا in
+
+334
+00:36:23,820 --> 00:36:29,420
+general تكامل لل F prime of X على F of X DX سوى ال
+
+335
+00:36:29,420 --> 00:36:34,220
+N absolute value لما ده ال F of X زايد constant C
+
+336
+00:36:34,220 --> 00:36:40,240
+إذاً بدنا نروح نطبق هذه الخاصية للخاصية الأخيرة
+
+337
+00:36:40,240 --> 00:36:46,360
+بجي بطلع هنا هل البص هو مشتقة النقاط؟صحيح مشتقك
+
+338
+00:36:46,360 --> 00:36:52,940
+الصين بكوصين يبقى حسب آخر خاصية لين absolute value
+
+339
+00:36:52,940 --> 00:36:57,880
+لصين ال X لائد constant C وهذه معلومة ماكناش
+
+340
+00:36:57,880 --> 00:37:04,280
+بنعرفها في calculus A تمام؟ بدي أقول هذه هي النقطة
+
+341
+00:37:04,280 --> 00:37:10,300
+الأولى من هذا المثالوأذهب إلى النقطة التانية تكامل
+
+342
+00:37:10,300 --> 00:37:18,220
+لتان ال X DX ويسوي تكامل التانية عبارة عن ايه؟ sin
+
+343
+00:37:18,220 --> 00:37:27,880
+X على cos X DXالسؤال هو تفاضل الكو ساين سالب ساين
+
+344
+00:37:27,880 --> 00:37:32,520
+وليس موجب ساين إذا ملزمنا إيه إشارة سالب فور
+
+345
+00:37:32,520 --> 00:37:40,120
+بنحلها الإشكالية وبنقول سالب تكامل لسالب ساين ال X
+
+346
+00:37:40,230 --> 00:37:46,750
+على cosine ال X في DX كأننا ضربنا في سلب واحد وفي
+
+347
+00:37:46,750 --> 00:37:51,490
+سلب واحد سلب واحد حطنا جوا التكامل سلب واحد حطنا
+
+348
+00:37:51,490 --> 00:37:56,430
+برا التكامل ومدام كل أصلا تبقى طلع جوا التكامل
+
+349
+00:37:56,430 --> 00:38:01,880
+اللي برا التكامل بدون أي مشكلةالانصار البسط هو
+
+350
+00:38:01,880 --> 00:38:09,800
+تفابل المقام يبقى الجواب للمقام يبقى سالب ل
+
+351
+00:38:09,800 --> 00:38:19,500
+absolute value لcos x زائد constant C عليك لو
+
+352
+00:38:19,500 --> 00:38:26,740
+سألتك اقول لك شو اسمك انت عمر عمر ايه؟ممتاز جدا،
+
+353
+00:38:26,740 --> 00:38:31,200
+عمر هذا اتفل على إيجابتنا هاد هيك وماعجبتهش،
+
+354
+00:38:31,200 --> 00:38:35,420
+ماعجبتهش ليش؟ انه في إشارة سالب، اروح وفرح عليه
+
+355
+00:38:35,420 --> 00:38:40,080
+السؤال تجبر تكتبها إيه نتيجة بإشارة موجة بدون
+
+356
+00:38:40,080 --> 00:38:45,960
+سالب؟ بنقوله نجرب، يمكن الله أعلم، يفجب أجي بقوله
+
+357
+00:38:45,960 --> 00:38:51,020
+أنا بدي أستخدم خواصة الأهوات، لو وصل لحد هيك وخلص
+
+358
+00:38:51,020 --> 00:38:54,180
+يبدأ حله سليم مائة بالمائة ولا واحد اللي اعتراب
+
+359
+00:38:54,180 --> 00:39:01,450
+عليهلكن عنده خبرة في خواص ال لن فقال لي هذا سالب
+
+360
+00:39:01,450 --> 00:39:06,030
+واحد في لن المقدار هذا، بدي أرجع لأصله قلت له ايش
+
+361
+00:39:06,030 --> 00:39:11,870
+أصله؟ قال لي هذا هو لن absolute value لكوصين ال X
+
+362
+00:39:11,870 --> 00:39:16,370
+أُس سالب واحد زائد Constancy قلنا له والله مظهر،
+
+363
+00:39:16,370 --> 00:39:21,500
+ماحدش اللي اعترض عنك، صح؟ طبقا للخواص تمامارح قال
+
+364
+00:39:21,500 --> 00:39:27,420
+لي هذا بده يساوي اللي هو الـ N واحد على كوسين الـ
+
+365
+00:39:27,420 --> 00:39:31,840
+X absolute value بدل ما كان بيقسم فوق نزلها بيقسم
+
+366
+00:39:31,840 --> 00:39:36,400
+و جاب في المقام و قال لي هذا زائد Constancy قلنا
+
+367
+00:39:36,400 --> 00:39:41,200
+له ماشي قال لي واحد على كوسين هي مقلب من؟ مقلب ال
+
+368
+00:39:41,200 --> 00:39:45,900
+second رح قال لي هذا ال N absolute value لها
+
+369
+00:39:45,900 --> 00:39:53,350
+second X second Xتمام؟ زائد كنستانسية قلناله والله
+
+370
+00:39:53,350 --> 00:39:58,930
+مضجال هيها بالموجب ومش محتاج نشار السلم يبقى سواء
+
+371
+00:39:58,930 --> 00:40:04,770
+كتبت الأولى او الثانية زي ما قالها زميلكوا عمر
+
+372
+00:40:04,770 --> 00:40:09,910
+ماعنا مشكلة سواء كانت هذه والله هذه
+
+373
+00:40:19,430 --> 00:40:32,590
+بقول يسوي تكامل ابصريش، إيش نسوي في هذه؟ يعني
+
+374
+00:40:32,590 --> 00:40:38,790
+أنت مذاكر ثلاثي عام كويس، تمام تمام، يبقى هذه سك
+
+375
+00:40:38,790 --> 00:40:47,070
+ال X في مين؟ في سك ال X زائد تان ال X على سك ال X
+
+376
+00:40:48,680 --> 00:40:54,080
+زائد تان ال X كله بالنسبة ال ا دي X طبعا يبقى طالع
+
+377
+00:40:54,080 --> 00:40:58,000
+واحد يقول وش هالفلك عالي غير شكل هذه يعني ليش هذه
+
+378
+00:40:58,000 --> 00:41:02,000
+ضرب في سك زائد تاني وجسم على سك زي يعني كان ضرب في
+
+379
+00:41:02,000 --> 00:41:06,860
+واحد صحيةمافيش إشكالية بنقول له آه هذه بتحل
+
+380
+00:41:06,860 --> 00:41:11,140
+المشكلة العويصة اللي مش جادر أحلها يبقى سك في سك
+
+381
+00:41:11,140 --> 00:41:18,180
+بسك تربيه X زائد سك ال X في تان ال X كله على سك ال
+
+382
+00:41:18,180 --> 00:41:23,580
+X زائد تان ال X وهذا كله بالنسبة إلى DX يعني إيش
+
+383
+00:41:23,580 --> 00:41:28,310
+عملنا فكنا القوس ضربنا السك في اللي داخل القوسطب
+
+384
+00:41:28,310 --> 00:41:32,470
+هذا الآن صار له فائد، المقام خلته زي ما هو، قداش
+
+385
+00:41:32,470 --> 00:41:38,850
+مشتقة سك ال X؟ سكتان هيها، زائد و هنا زائد، قداش
+
+386
+00:41:38,850 --> 00:41:44,650
+تفضل التان؟ سك تربية، يبقى سعر البصد هو مشتقة مين؟
+
+387
+00:41:44,650 --> 00:41:49,140
+يبقى الجواب لإن المقاميبقى هذه اللي اعملها لها
+
+388
+00:41:49,140 --> 00:41:54,320
+فايدة كبيرة جدا يبقى لين absolute value لسك ال X
+
+389
+00:41:54,320 --> 00:42:01,160
+زائد تاني ال X زائد constant C يبقى من الآن فصاعدا
+
+390
+00:42:01,160 --> 00:42:06,560
+تكامل لسك ال X DX هو لين سك ال X زائد تاني ال X
+
+391
+00:42:06,560 --> 00:42:12,920
+زائد constant C طب النقطة الرابعة والاخيرة تكامل
+
+392
+00:42:12,920 --> 00:42:22,600
+لكوسيكنت ال X DXيساوي لن absolute value لكوسيكنت
+
+393
+00:42:22,600 --> 00:42:30,760
+ال X ناقص كوتان ال X زائد constant C مطلوب انك
+
+394
+00:42:30,760 --> 00:42:38,020
+تعملها اه اه يا سيدي تشيك بدك تشيك عليها صح ولا لا
+
+395
+00:42:38,020 --> 00:42:46,420
+يعني ايش عملناماذا فعلنا هنا؟ بقررت في كثيكان ناقص
+
+396
+00:42:46,420 --> 00:42:52,220
+كتان وقسمت على كثيكان ناقص كتان، فصار البصد هو
+
+397
+00:42:52,220 --> 00:42:57,740
+مشتقت من المقام. واحد قال لي لا، انا عندي جامع
+
+398
+00:42:57,740 --> 00:43:02,570
+مرهاديقلت له ايش؟ قال بدل ما تضرب في cosecant اضرب
+
+399
+00:43:02,570 --> 00:43:07,250
+في cosecant زائد كتان و اجسم على cosecant زائد
+
+400
+00:43:07,250 --> 00:43:11,330
+كتان قلت له برضه كلامك صح بس مش مدى يطلع عنها شر
+
+401
+00:43:11,330 --> 00:43:17,390
+السالب جاب للن يعني صورة أخرى لهذه الإجابة وهي
+
+402
+00:43:17,390 --> 00:43:23,890
+سالب لن absolute value of cosecant Xزائد كتان ال X
+
+403
+00:43:23,890 --> 00:43:30,430
+زائد constant C يبقى اتنين هدول صح نفس الإجابة لكن
+
+404
+00:43:30,430 --> 00:43:35,250
+انا لأ فضل التانية مشان بس إشارة السالب زي مفروض
+
+405
+00:43:35,250 --> 00:43:41,570
+مافضلناش سالب لين كوصين و كتبناها لين سيكطيب الله
+
+406
+00:43:41,570 --> 00:43:47,630
+يعطيك العافية هيك اتفضلتنا كاملتنا النسب المثلثية
+
+407
+00:43:47,630 --> 00:43:54,850
+كلها الآن الستة بنعرفها يبقى لا عذر لأحد بعد ذلك
+
+408
+00:43:54,850 --> 00:44:02,510
+سواء اشتقاء النسب المثلثية أو تكامل النسب المثلثية
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/AXNE42XetEo_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/AXNE42XetEo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ed83ffd17aa4c6a2c021fe6069212dcee24a8699
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/AXNE42XetEo_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 268, "start": 0.0, "end": 2.68, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3730468700329463, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.00428009033203125, "words": [{"start": 0.0, "end": 2.68, "word": "موسيقى", "probability": 0.733203125}], "temperature": 1.0}, {"id": 2, "seek": 3619, "start": 12.57, "end": 36.19, "text": "بنرجع بالذاكرة الى الوراء للمحاضرة الماضية هاتلي قيمة X التي تحقق هذه المعادلة تمام بيقول له كويس ببطل في المثل هذه المشكلة عند هذه يبقى هاد اللي حصل ضرب قيمتين", "tokens": [3555, 1863, 47341, 3615, 20666, 15730, 4117, 25720, 2423, 7578, 2423, 13063, 16606, 5296, 19528, 5016, 46958, 25720, 9673, 46958, 10632, 8032, 9307, 20292, 12174, 32640, 3660, 1783, 38392, 6055, 5016, 4587, 4587, 29538, 9673, 3615, 18513, 37977, 46811, 10943, 4724, 1829, 39648, 46740, 9122, 45865, 3794, 4724, 3555, 9566, 1211, 8978, 9673, 12984, 1211, 29538, 9673, 8592, 28820, 3660, 43242, 29538, 7251, 3555, 4587, 7578, 8032, 18513, 13672, 1829, 11331, 36520, 48812, 25513, 12174, 32640, 2655, 9957], "avg_logprob": -0.3182357474218441, "compression_ratio": 1.7575757575757576, "no_speech_prob": 0.0, "words": [{"start": 12.57, "end": 13.17, "word": "بنرجع", "probability": 0.69891357421875}, {"start": 13.17, "end": 13.93, "word": " بالذاكرة", "probability": 0.923828125}, {"start": 13.93, "end": 14.23, "word": " الى", "probability": 0.67822265625}, {"start": 14.23, "end": 14.67, "word": " الوراء", "probability": 0.88037109375}, {"start": 14.67, "end": 15.57, "word": " للمحاضرة", "probability": 0.83564453125}, {"start": 15.57, "end": 16.11, "word": " الماضية", "probability": 0.94482421875}, {"start": 16.11, "end": 17.73, "word": " هاتلي", "probability": 0.3717041015625}, {"start": 17.73, "end": 18.43, "word": " قيمة", "probability": 0.9737955729166666}, {"start": 18.43, "end": 18.85, "word": " X", "probability": 0.6044921875}, {"start": 18.85, "end": 19.43, "word": " التي", "probability": 0.7529296875}, {"start": 19.43, "end": 20.35, "word": " تحقق", "probability": 0.982177734375}, {"start": 20.35, "end": 21.21, "word": " هذه", "probability": 0.94140625}, {"start": 21.21, "end": 22.93, "word": " المعادلة", "probability": 0.9869384765625}, {"start": 22.93, "end": 23.99, "word": " تمام", "probability": 0.696533203125}, {"start": 23.99, "end": 25.01, "word": " بيقول", "probability": 0.41064453125}, {"start": 25.01, "end": 25.41, "word": " له", "probability": 0.2783203125}, {"start": 25.41, "end": 25.99, "word": " كويس", "probability": 0.8896484375}, {"start": 25.99, "end": 27.07, "word": " ببطل", "probability": 0.682861328125}, {"start": 27.07, "end": 27.27, "word": " في", "probability": 0.73486328125}, {"start": 27.27, "end": 27.85, "word": " المثل", "probability": 0.72607421875}, {"start": 27.85, "end": 28.35, "word": " هذه", "probability": 0.83203125}, {"start": 28.35, "end": 32.05, "word": " المشكلة", "probability": 0.9246826171875}, {"start": 32.05, "end": 32.23, "word": " عند", "probability": 0.97412109375}, {"start": 32.23, "end": 32.61, "word": " هذه", "probability": 0.50048828125}, {"start": 32.61, "end": 33.27, "word": " يبقى", "probability": 0.78271484375}, {"start": 33.27, "end": 33.51, "word": " هاد", "probability": 0.36328125}, {"start": 33.51, "end": 34.09, "word": " اللي", "probability": 0.75244140625}, {"start": 34.09, "end": 35.05, "word": " حصل", "probability": 0.68359375}, {"start": 35.05, "end": 35.45, "word": " ضرب", "probability": 0.85693359375}, {"start": 35.45, "end": 36.19, "word": " قيمتين", "probability": 0.9727783203125}], "temperature": 1.0}, {"id": 3, "seek": 5628, "start": 36.58, "end": 56.28, "text": "أحد القيمتين هي القيمة اللى موجودة عند الانوان شجرة تانية، اذا هذه لو جيتها حلقة تالية بقول len اتنين x زائد واحد زائد len ال X زائد اتنين، من وين جبت المعلومة هذه؟", "tokens": [10721, 24401, 25062, 32640, 2655, 9957, 39896, 25062, 32640, 3660, 13672, 7578, 3714, 29245, 23328, 3660, 43242, 2423, 7649, 2407, 7649, 13412, 7435, 25720, 6055, 7649, 10632, 12399, 1975, 15730, 29538, 45164, 10874, 36081, 11296, 11331, 1211, 28671, 6055, 6027, 10632, 4724, 39648, 40116, 1975, 2655, 1863, 9957, 2031, 30767, 16373, 3215, 36764, 24401, 30767, 16373, 3215, 40116, 2423, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 12399, 9154, 4032, 9957, 10874, 3555, 2655, 9673, 30241, 20498, 3660, 29538, 22807], "avg_logprob": -0.22704474719954126, "compression_ratio": 1.7245508982035929, "no_speech_prob": 0.0, "words": [{"start": 36.58, "end": 37.18, "word": "أحد", "probability": 0.656494140625}, {"start": 37.18, "end": 38.32, "word": " القيمتين", "probability": 0.77764892578125}, {"start": 38.32, "end": 38.82, "word": " هي", "probability": 0.88916015625}, {"start": 38.82, "end": 39.74, "word": " القيمة", "probability": 0.6793619791666666}, {"start": 39.74, "end": 39.92, "word": " اللى", "probability": 0.809326171875}, {"start": 39.92, "end": 40.46, "word": " موجودة", "probability": 0.9761962890625}, {"start": 40.46, "end": 40.7, "word": " عند", "probability": 0.98583984375}, {"start": 40.7, "end": 41.52, "word": " الانوان", "probability": 0.7999267578125}, {"start": 41.52, "end": 42.36, "word": " شجرة", "probability": 0.7493489583333334}, {"start": 42.36, "end": 43.18, "word": " تانية،", "probability": 0.74920654296875}, {"start": 43.18, "end": 43.48, "word": " اذا", "probability": 0.748046875}, {"start": 43.48, "end": 43.96, "word": " هذه", "probability": 0.59326171875}, {"start": 43.96, "end": 44.22, "word": " لو", "probability": 0.95263671875}, {"start": 44.22, "end": 44.62, "word": " جيتها", "probability": 0.8634440104166666}, {"start": 44.62, "end": 45.06, "word": " حلقة", "probability": 0.9384765625}, {"start": 45.06, "end": 45.74, "word": " تالية", "probability": 0.7872721354166666}, {"start": 45.74, "end": 46.82, "word": " بقول", "probability": 0.84130859375}, {"start": 46.82, "end": 47.36, "word": " len", "probability": 0.2039794921875}, {"start": 47.36, "end": 48.46, "word": " اتنين", "probability": 0.883544921875}, {"start": 48.46, "end": 48.96, "word": " x", "probability": 0.677734375}, {"start": 48.96, "end": 49.68, "word": " زائد", "probability": 0.9427083333333334}, {"start": 49.68, "end": 50.38, "word": " واحد", "probability": 0.98779296875}, {"start": 50.38, "end": 51.68, "word": " زائد", "probability": 0.9752604166666666}, {"start": 51.68, "end": 52.14, "word": " len", "probability": 0.73876953125}, {"start": 52.14, "end": 52.42, "word": " ال", "probability": 0.7080078125}, {"start": 52.42, "end": 53.0, "word": " X", "probability": 0.301513671875}, {"start": 53.0, "end": 53.92, "word": " زائد", "probability": 0.98046875}, {"start": 53.92, "end": 54.84, "word": " اتنين،", "probability": 0.92822265625}, {"start": 54.84, "end": 55.0, "word": " من", "probability": 0.93994140625}, {"start": 55.0, "end": 55.22, "word": " وين", "probability": 0.648193359375}, {"start": 55.22, "end": 55.44, "word": " جبت", "probability": 0.8592122395833334}, {"start": 55.44, "end": 55.96, "word": " المعلومة", "probability": 0.9859619140625}, {"start": 55.96, "end": 56.28, "word": " هذه؟", "probability": 0.74853515625}], "temperature": 1.0}, {"id": 4, "seek": 7989, "start": 57.05, "end": 79.89, "text": "من الخواصة اللي عملناها المرة اللي فاتت قلنا هذه الخاصية في أربع نقاط حصل الضرب القسمة واحد على اكس اكس to the power n تاخده للن يبقى هاي الأربع نقاط اللي كانوا في هذه الخاصية يبقى هذا الكلام بده ساوي اتنين لن ال X زائد اتنين", "tokens": [27842, 33962, 2407, 33546, 3660, 13672, 1829, 6225, 42213, 8315, 11296, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 12174, 1211, 8315, 29538, 33962, 33546, 10632, 8978, 5551, 25513, 3615, 8717, 4587, 41193, 11331, 36520, 6024, 114, 25513, 25062, 38251, 3660, 36764, 24401, 15844, 1975, 4117, 3794, 1975, 4117, 3794, 281, 264, 1347, 297, 6055, 47283, 3215, 3224, 24976, 1863, 7251, 3555, 4587, 7578, 8032, 47302, 16247, 25513, 3615, 8717, 4587, 41193, 13672, 1829, 25961, 14407, 8978, 29538, 33962, 33546, 10632, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 8608, 995, 45865, 1975, 2655, 1863, 9957, 5296, 1863, 2423, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957], "avg_logprob": -0.2332282071813531, "compression_ratio": 1.8714285714285714, "no_speech_prob": 0.0, "words": [{"start": 57.05, "end": 57.35, "word": "من", "probability": 0.2030029296875}, {"start": 57.35, "end": 58.17, "word": " الخواصة", "probability": 0.71221923828125}, {"start": 58.17, "end": 58.25, "word": " اللي", "probability": 0.728759765625}, {"start": 58.25, "end": 58.73, "word": " عملناها", "probability": 0.9208984375}, {"start": 58.73, "end": 59.09, "word": " المرة", "probability": 0.88330078125}, {"start": 59.09, "end": 59.27, "word": " اللي", "probability": 0.80908203125}, {"start": 59.27, "end": 59.77, "word": " فاتت", "probability": 0.96337890625}, {"start": 59.77, "end": 60.61, "word": " قلنا", "probability": 0.5949300130208334}, {"start": 60.61, "end": 60.99, "word": " هذه", "probability": 0.80712890625}, {"start": 60.99, "end": 61.55, "word": " الخاصية", "probability": 0.9842122395833334}, {"start": 61.55, "end": 61.75, "word": " في", "probability": 0.96630859375}, {"start": 61.75, "end": 62.31, "word": " أربع", "probability": 0.7689615885416666}, {"start": 62.31, "end": 62.89, "word": " نقاط", "probability": 0.9708658854166666}, {"start": 62.89, "end": 63.41, "word": " حصل", "probability": 0.5166015625}, {"start": 63.41, "end": 63.93, "word": " الضرب", "probability": 0.7882486979166666}, {"start": 63.93, "end": 65.31, "word": " القسمة", "probability": 0.8544921875}, {"start": 65.31, "end": 65.93, "word": " واحد", "probability": 0.779052734375}, {"start": 65.93, "end": 66.17, "word": " على", "probability": 0.54150390625}, {"start": 66.17, "end": 66.53, "word": " اكس", "probability": 0.7169596354166666}, {"start": 66.53, "end": 66.81, "word": " اكس", "probability": 0.77685546875}, {"start": 66.81, "end": 66.95, "word": " to", "probability": 0.7060546875}, {"start": 66.95, "end": 67.09, "word": " the", "probability": 0.89501953125}, {"start": 67.09, "end": 67.35, "word": " power", "probability": 0.87158203125}, {"start": 67.35, "end": 67.59, "word": " n", "probability": 0.2685546875}, {"start": 67.59, "end": 67.99, "word": " تاخده", "probability": 0.865234375}, {"start": 67.99, "end": 68.33, "word": " للن", "probability": 0.6060791015625}, {"start": 68.33, "end": 68.93, "word": " يبقى", "probability": 0.80859375}, {"start": 68.93, "end": 69.13, "word": " هاي", "probability": 0.5263671875}, {"start": 69.13, "end": 69.69, "word": " الأربع", "probability": 0.9300130208333334}, {"start": 69.69, "end": 70.15, "word": " نقاط", "probability": 0.9775390625}, {"start": 70.15, "end": 70.39, "word": " اللي", "probability": 0.990234375}, {"start": 70.39, "end": 70.93, "word": " كانوا", "probability": 0.974609375}, {"start": 70.93, "end": 71.35, "word": " في", "probability": 0.962890625}, {"start": 71.35, "end": 71.89, "word": " هذه", "probability": 0.95703125}, {"start": 71.89, "end": 73.47, "word": " الخاصية", "probability": 0.9910481770833334}, {"start": 73.47, "end": 74.23, "word": " يبقى", "probability": 0.9599609375}, {"start": 74.23, "end": 74.51, "word": " هذا", "probability": 0.98388671875}, {"start": 74.51, "end": 75.03, "word": " الكلام", "probability": 0.9676106770833334}, {"start": 75.03, "end": 75.49, "word": " بده", "probability": 0.840576171875}, {"start": 75.49, "end": 76.09, "word": " ساوي", "probability": 0.6944986979166666}, {"start": 76.09, "end": 76.91, "word": " اتنين", "probability": 0.9700927734375}, {"start": 76.91, "end": 77.89, "word": " لن", "probability": 0.78173828125}, {"start": 77.89, "end": 78.17, "word": " ال", "probability": 0.861328125}, {"start": 78.17, "end": 78.67, "word": " X", "probability": 0.355224609375}, {"start": 78.67, "end": 79.53, "word": " زائد", "probability": 0.9368489583333334}, {"start": 79.53, "end": 79.89, "word": " اتنين", "probability": 0.935302734375}], "temperature": 1.0}, {"id": 5, "seek": 10097, "start": 80.59, "end": 100.97, "text": "بقى انا باطلع المقدار اللي انا هبقى يقول المقدار هذا من نفس ال form يبقى هذا بدي اعطيك main اللي هو لين اتنين اكس زائد واحد يساوي هذه لو قلت على الشجرة تانية بتجيك بإشارة من بإشارة سالب بقولها انك ادهش", "tokens": [3555, 4587, 7578, 1975, 8315, 4724, 41193, 1211, 3615, 9673, 28543, 9640, 13672, 1829, 1975, 8315, 8032, 3555, 4587, 7578, 7251, 39648, 9673, 28543, 9640, 23758, 9154, 8717, 36178, 2423, 1254, 7251, 3555, 4587, 7578, 23758, 4724, 16254, 1975, 3615, 9566, 1829, 4117, 2135, 13672, 1829, 31439, 5296, 9957, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 30767, 16373, 3215, 36764, 24401, 7251, 3794, 995, 45865, 29538, 45164, 12174, 1211, 2655, 15844, 25124, 7435, 25720, 6055, 7649, 10632, 39894, 7435, 1829, 4117, 4724, 28814, 8592, 9640, 3660, 9154, 4724, 28814, 8592, 9640, 3660, 8608, 6027, 3555, 4724, 39648, 11296, 16472, 4117, 1975, 3215, 3224, 8592], "avg_logprob": -0.32916665304274784, "compression_ratio": 1.7878787878787878, "no_speech_prob": 0.0, "words": [{"start": 80.59, "end": 80.99, "word": "بقى", "probability": 0.5965169270833334}, {"start": 80.99, "end": 81.07, "word": " انا", "probability": 0.5025634765625}, {"start": 81.07, "end": 81.85, "word": " باطلع", "probability": 0.75152587890625}, {"start": 81.85, "end": 82.61, "word": " المقدار", "probability": 0.9000651041666666}, {"start": 82.61, "end": 82.81, "word": " اللي", "probability": 0.742919921875}, {"start": 82.81, "end": 82.99, "word": " انا", "probability": 0.455810546875}, {"start": 82.99, "end": 83.43, "word": " هبقى", "probability": 0.615142822265625}, {"start": 83.43, "end": 83.57, "word": " يقول", "probability": 0.54443359375}, {"start": 83.57, "end": 84.15, "word": " المقدار", "probability": 0.9444986979166666}, {"start": 84.15, "end": 84.61, "word": " هذا", "probability": 0.8974609375}, {"start": 84.61, "end": 84.91, "word": " من", "probability": 0.931640625}, {"start": 84.91, "end": 85.43, "word": " نفس", "probability": 0.97705078125}, {"start": 85.43, "end": 86.29, "word": " ال", "probability": 0.79736328125}, {"start": 86.29, "end": 86.71, "word": " form", "probability": 0.40966796875}, {"start": 86.71, "end": 87.87, "word": " يبقى", "probability": 0.9256591796875}, {"start": 87.87, "end": 88.07, "word": " هذا", "probability": 0.92333984375}, {"start": 88.07, "end": 88.41, "word": " بدي", "probability": 0.600341796875}, {"start": 88.41, "end": 88.91, "word": " اعطيك", "probability": 0.88251953125}, {"start": 88.91, "end": 89.33, "word": " main", "probability": 0.211669921875}, {"start": 89.33, "end": 89.81, "word": " اللي", "probability": 0.94384765625}, {"start": 89.81, "end": 90.03, "word": " هو", "probability": 0.96923828125}, {"start": 90.03, "end": 90.59, "word": " لين", "probability": 0.413238525390625}, {"start": 90.59, "end": 91.55, "word": " اتنين", "probability": 0.96435546875}, {"start": 91.55, "end": 92.21, "word": " اكس", "probability": 0.85546875}, {"start": 92.21, "end": 92.97, "word": " زائد", "probability": 0.931640625}, {"start": 92.97, "end": 93.49, "word": " واحد", "probability": 0.981689453125}, {"start": 93.49, "end": 94.31, "word": " يساوي", "probability": 0.95556640625}, {"start": 94.31, "end": 95.27, "word": " هذه", "probability": 0.4267578125}, {"start": 95.27, "end": 95.45, "word": " لو", "probability": 0.58203125}, {"start": 95.45, "end": 95.69, "word": " قلت", "probability": 0.5469970703125}, {"start": 95.69, "end": 95.85, "word": " على", "probability": 0.6611328125}, {"start": 95.85, "end": 96.31, "word": " الشجرة", "probability": 0.8473307291666666}, {"start": 96.31, "end": 96.59, "word": " تانية", "probability": 0.8955078125}, {"start": 96.59, "end": 96.99, "word": " بتجيك", "probability": 0.8619384765625}, {"start": 96.99, "end": 97.53, "word": " بإشارة", "probability": 0.896484375}, {"start": 97.53, "end": 97.99, "word": " من", "probability": 0.410888671875}, {"start": 97.99, "end": 99.09, "word": " بإشارة", "probability": 0.85615234375}, {"start": 99.09, "end": 99.65, "word": " سالب", "probability": 0.796875}, {"start": 99.65, "end": 100.17, "word": " بقولها", "probability": 0.5592447916666666}, {"start": 100.17, "end": 100.43, "word": " انك", "probability": 0.5224609375}, {"start": 100.43, "end": 100.97, "word": " ادهش", "probability": 0.785888671875}], "temperature": 1.0}, {"id": 6, "seek": 12732, "start": 101.28, "end": 127.32, "text": "اللي هو اتنين لن ال X زائدي اتنين ناقص لن ال X زائد اتنين يبقى بناء عليه أصبح عندي لن لن X زائد واحد بده يساوي طبعا أمامي بدأت طريقة لين لتبسيط الطرف الأيمن", "tokens": [6027, 20292, 31439, 1975, 2655, 1863, 9957, 5296, 1863, 2423, 1783, 30767, 16373, 16254, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 5296, 1863, 2423, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 5551, 9381, 49628, 43242, 1829, 5296, 1863, 5296, 1863, 1783, 30767, 16373, 3215, 36764, 24401, 47525, 3224, 7251, 3794, 995, 45865, 23032, 3555, 3615, 995, 5551, 2304, 10943, 1829, 47525, 10721, 2655, 23032, 16572, 28671, 5296, 9957, 5296, 2655, 3555, 3794, 1829, 9566, 41950, 28480, 16247, 1829, 27842], "avg_logprob": -0.2112008493937803, "compression_ratio": 1.7922077922077921, "no_speech_prob": 0.0, "words": [{"start": 101.28, "end": 101.68, "word": "اللي", "probability": 0.39276123046875}, {"start": 101.68, "end": 101.88, "word": " هو", "probability": 0.95263671875}, {"start": 101.88, "end": 102.6, "word": " اتنين", "probability": 0.802490234375}, {"start": 102.6, "end": 103.44, "word": " لن", "probability": 0.712158203125}, {"start": 103.44, "end": 103.74, "word": " ال", "probability": 0.72412109375}, {"start": 103.74, "end": 104.2, "word": " X", "probability": 0.60400390625}, {"start": 104.2, "end": 105.28, "word": " زائدي", "probability": 0.79052734375}, {"start": 105.28, "end": 106.0, "word": " اتنين", "probability": 0.9801025390625}, {"start": 106.0, "end": 107.5, "word": " ناقص", "probability": 0.9593505859375}, {"start": 107.5, "end": 108.26, "word": " لن", "probability": 0.970458984375}, {"start": 108.26, "end": 108.7, "word": " ال", "probability": 0.71875}, {"start": 108.7, "end": 109.24, "word": " X", "probability": 0.9931640625}, {"start": 109.24, "end": 110.64, "word": " زائد", "probability": 0.9703776041666666}, {"start": 110.64, "end": 111.3, "word": " اتنين", "probability": 0.98095703125}, {"start": 111.3, "end": 112.52, "word": " يبقى", "probability": 0.8963623046875}, {"start": 112.52, "end": 112.9, "word": " بناء", "probability": 0.8134765625}, {"start": 112.9, "end": 113.34, "word": " عليه", "probability": 0.73291015625}, {"start": 113.34, "end": 114.0, "word": " أصبح", "probability": 0.8408203125}, {"start": 114.0, "end": 114.7, "word": " عندي", "probability": 0.5411376953125}, {"start": 114.7, "end": 115.34, "word": " لن", "probability": 0.961181640625}, {"start": 115.34, "end": 116.34, "word": " لن", "probability": 0.62109375}, {"start": 116.34, "end": 116.8, "word": " X", "probability": 0.98291015625}, {"start": 116.8, "end": 117.64, "word": " زائد", "probability": 0.9342447916666666}, {"start": 117.64, "end": 118.02, "word": " واحد", "probability": 0.966552734375}, {"start": 118.02, "end": 118.34, "word": " بده", "probability": 0.5728759765625}, {"start": 118.34, "end": 118.96, "word": " يساوي", "probability": 0.77685546875}, {"start": 118.96, "end": 121.18, "word": " طبعا", "probability": 0.9752197265625}, {"start": 121.18, "end": 121.96, "word": " أمامي", "probability": 0.7933349609375}, {"start": 121.96, "end": 123.4, "word": " بدأت", "probability": 0.7086588541666666}, {"start": 123.4, "end": 123.86, "word": " طريقة", "probability": 0.9728190104166666}, {"start": 123.86, "end": 124.56, "word": " لين", "probability": 0.618408203125}, {"start": 124.56, "end": 126.36, "word": " لتبسيط", "probability": 0.9591471354166666}, {"start": 126.36, "end": 126.78, "word": " الطرف", "probability": 0.9736328125}, {"start": 126.78, "end": 127.32, "word": " الأيمن", "probability": 0.7039388020833334}], "temperature": 1.0}, {"id": 7, "seek": 14463, "start": 128.3, "end": 144.64, "text": "2 لن ال X و لن X زي 2 و لن X زي 2 واحدة بيظل عندي قداشة لن X زي 2 هذا لو استخدمت الجامعة مضطرة تمام؟ واحد أكتر مني قال لأ استنى بدي أرجع الخواص", "tokens": [17, 5296, 1863, 2423, 1783, 4032, 5296, 1863, 1783, 30767, 1829, 568, 4032, 5296, 1863, 1783, 30767, 1829, 568, 36764, 24401, 3660, 4724, 1829, 19913, 1211, 18871, 16254, 12174, 3215, 33599, 3660, 5296, 1863, 1783, 30767, 1829, 568, 23758, 45164, 44713, 9778, 40448, 2655, 25724, 10943, 27884, 3714, 11242, 9566, 25720, 46811, 10943, 22807, 36764, 24401, 5551, 4117, 2655, 2288, 9154, 1829, 50239, 5296, 10721, 44713, 1863, 7578, 4724, 16254, 5551, 47341, 3615, 33962, 2407, 33546], "avg_logprob": -0.3922483657861685, "compression_ratio": 1.6689655172413793, "no_speech_prob": 0.0, "words": [{"start": 128.3, "end": 128.94, "word": "2", "probability": 0.08245849609375}, {"start": 128.94, "end": 129.32, "word": " لن", "probability": 0.55633544921875}, {"start": 129.32, "end": 129.48, "word": " ال", "probability": 0.380126953125}, {"start": 129.48, "end": 129.78, "word": " X", "probability": 0.51953125}, {"start": 129.78, "end": 129.96, "word": " و", "probability": 0.456787109375}, {"start": 129.96, "end": 130.26, "word": " لن", "probability": 0.80517578125}, {"start": 130.26, "end": 131.96, "word": " X", "probability": 0.654296875}, {"start": 131.96, "end": 132.36, "word": " زي", "probability": 0.695068359375}, {"start": 132.36, "end": 132.72, "word": " 2", "probability": 0.88916015625}, {"start": 132.72, "end": 132.88, "word": " و", "probability": 0.7978515625}, {"start": 132.88, "end": 133.16, "word": " لن", "probability": 0.942138671875}, {"start": 133.16, "end": 133.36, "word": " X", "probability": 0.982421875}, {"start": 133.36, "end": 133.68, "word": " زي", "probability": 0.97998046875}, {"start": 133.68, "end": 133.96, "word": " 2", "probability": 0.9853515625}, {"start": 133.96, "end": 134.68, "word": " واحدة", "probability": 0.7484537760416666}, {"start": 134.68, "end": 135.36, "word": " بيظل", "probability": 0.4923095703125}, {"start": 135.36, "end": 135.62, "word": " عندي", "probability": 0.641845703125}, {"start": 135.62, "end": 136.3, "word": " قداشة", "probability": 0.60986328125}, {"start": 136.3, "end": 137.06, "word": " لن", "probability": 0.805908203125}, {"start": 137.06, "end": 137.28, "word": " X", "probability": 0.9814453125}, {"start": 137.28, "end": 137.62, "word": " زي", "probability": 0.9794921875}, {"start": 137.62, "end": 138.06, "word": " 2", "probability": 0.96728515625}, {"start": 138.06, "end": 138.44, "word": " هذا", "probability": 0.57080078125}, {"start": 138.44, "end": 138.68, "word": " لو", "probability": 0.9404296875}, {"start": 138.68, "end": 139.34, "word": " استخدمت", "probability": 0.9581298828125}, {"start": 139.34, "end": 139.7, "word": " الجامعة", "probability": 0.7396647135416666}, {"start": 139.7, "end": 140.28, "word": " مضطرة", "probability": 0.77392578125}, {"start": 140.28, "end": 141.38, "word": " تمام؟", "probability": 0.6324055989583334}, {"start": 141.38, "end": 141.84, "word": " واحد", "probability": 0.9765625}, {"start": 141.84, "end": 142.24, "word": " أكتر", "probability": 0.721923828125}, {"start": 142.24, "end": 142.58, "word": " مني", "probability": 0.888671875}, {"start": 142.58, "end": 142.8, "word": " قال", "probability": 0.8720703125}, {"start": 142.8, "end": 143.34, "word": " لأ", "probability": 0.6981201171875}, {"start": 143.34, "end": 143.76, "word": " استنى", "probability": 0.703369140625}, {"start": 143.76, "end": 143.96, "word": " بدي", "probability": 0.4620361328125}, {"start": 143.96, "end": 144.1, "word": " أرجع", "probability": 0.71142578125}, {"start": 144.1, "end": 144.64, "word": " الخواص", "probability": 0.6859537760416666}], "temperature": 1.0}, {"id": 8, "seek": 17003, "start": 144.97, "end": 170.03, "text": "بقول له كيف؟ جاله لن X زائد اتنين لكل تربية بنقول له ماشي وهذه ناقص لن بيصير لن ناقص لن تعني لن خارج القسمة يعني لن X زائد اتنين لكل تربية على X زائد اتنين وبنختصر بدون لن X زائد اتنين، مظبوط ولا لا؟ بنقول له والله كلامك صح، هذه صحيحة وهذه صحية", "tokens": [3555, 39648, 46740, 9122, 33911, 22807, 10874, 6027, 3224, 5296, 1863, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 5296, 28820, 6055, 25513, 10632, 44945, 39648, 46740, 3714, 33599, 1829, 37037, 24192, 8717, 995, 4587, 9381, 5296, 1863, 4724, 1829, 9381, 13546, 5296, 1863, 8717, 995, 4587, 9381, 5296, 1863, 6055, 3615, 22653, 5296, 1863, 16490, 9640, 7435, 25062, 38251, 3660, 37495, 22653, 5296, 1863, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 5296, 28820, 6055, 25513, 10632, 15844, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 46599, 1863, 46456, 9381, 2288, 47525, 11536, 5296, 1863, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 12399, 3714, 19913, 3555, 2407, 9566, 49429, 20193, 22807, 44945, 39648, 46740, 16070, 43761, 28242, 10943, 4117, 20328, 5016, 12399, 29538, 20328, 5016, 1829, 5016, 3660, 37037, 24192, 20328, 5016, 10632], "avg_logprob": -0.23621323354103985, "compression_ratio": 2.238341968911917, "no_speech_prob": 0.0, "words": [{"start": 144.97, "end": 145.45, "word": "بقول", "probability": 0.483154296875}, {"start": 145.45, "end": 145.59, "word": " له", "probability": 0.6796875}, {"start": 145.59, "end": 146.25, "word": " كيف؟", "probability": 0.7639973958333334}, {"start": 146.25, "end": 146.71, "word": " جاله", "probability": 0.618896484375}, {"start": 146.71, "end": 147.25, "word": " لن", "probability": 0.34210205078125}, {"start": 147.25, "end": 147.57, "word": " X", "probability": 0.379150390625}, {"start": 147.57, "end": 148.01, "word": " زائد", "probability": 0.7840169270833334}, {"start": 148.01, "end": 148.39, "word": " اتنين", "probability": 0.76434326171875}, {"start": 148.39, "end": 148.87, "word": " لكل", "probability": 0.733642578125}, {"start": 148.87, "end": 149.41, "word": " تربية", "probability": 0.87255859375}, {"start": 149.41, "end": 149.81, "word": " بنقول", "probability": 0.583984375}, {"start": 149.81, "end": 149.93, "word": " له", "probability": 0.42822265625}, {"start": 149.93, "end": 150.41, "word": " ماشي", "probability": 0.9217122395833334}, {"start": 150.41, "end": 151.23, "word": " وهذه", "probability": 0.4783935546875}, {"start": 151.23, "end": 151.75, "word": " ناقص", "probability": 0.86865234375}, {"start": 151.75, "end": 152.01, "word": " لن", "probability": 0.968505859375}, {"start": 152.01, "end": 152.75, "word": " بيصير", "probability": 0.73126220703125}, {"start": 152.75, "end": 153.21, "word": " لن", "probability": 0.89013671875}, {"start": 153.21, "end": 153.73, "word": " ناقص", "probability": 0.9814453125}, {"start": 153.73, "end": 154.03, "word": " لن", "probability": 0.880126953125}, {"start": 154.03, "end": 154.37, "word": " تعني", "probability": 0.6485188802083334}, {"start": 154.37, "end": 154.69, "word": " لن", "probability": 0.94970703125}, {"start": 154.69, "end": 155.43, "word": " خارج", "probability": 0.9783528645833334}, {"start": 155.43, "end": 157.09, "word": " القسمة", "probability": 0.9777018229166666}, {"start": 157.09, "end": 157.41, "word": " يعني", "probability": 0.81005859375}, {"start": 157.41, "end": 157.93, "word": " لن", "probability": 0.978515625}, {"start": 157.93, "end": 158.37, "word": " X", "probability": 0.9755859375}, {"start": 158.37, "end": 158.79, "word": " زائد", "probability": 0.9640299479166666}, {"start": 158.79, "end": 159.27, "word": " اتنين", "probability": 0.9798583984375}, {"start": 159.27, "end": 159.97, "word": " لكل", "probability": 0.9716796875}, {"start": 159.97, "end": 160.47, "word": " تربية", "probability": 0.9635416666666666}, {"start": 160.47, "end": 160.87, "word": " على", "probability": 0.73095703125}, {"start": 160.87, "end": 161.35, "word": " X", "probability": 0.9716796875}, {"start": 161.35, "end": 161.95, "word": " زائد", "probability": 0.9637044270833334}, {"start": 161.95, "end": 162.41, "word": " اتنين", "probability": 0.9761962890625}, {"start": 162.41, "end": 163.65, "word": " وبنختصر", "probability": 0.896875}, {"start": 163.65, "end": 163.89, "word": " بدون", "probability": 0.4273681640625}, {"start": 163.89, "end": 164.13, "word": " لن", "probability": 0.7490234375}, {"start": 164.13, "end": 164.73, "word": " X", "probability": 0.833984375}, {"start": 164.73, "end": 165.11, "word": " زائد", "probability": 0.8684895833333334}, {"start": 165.11, "end": 165.65, "word": " اتنين،", "probability": 0.89228515625}, {"start": 165.65, "end": 166.01, "word": " مظبوط", "probability": 0.86884765625}, {"start": 166.01, "end": 166.17, "word": " ولا", "probability": 0.89404296875}, {"start": 166.17, "end": 166.93, "word": " لا؟", "probability": 0.858642578125}, {"start": 166.93, "end": 167.27, "word": " بنقول", "probability": 0.7142333984375}, {"start": 167.27, "end": 167.35, "word": " له", "probability": 0.8232421875}, {"start": 167.35, "end": 167.57, "word": " والله", "probability": 0.76513671875}, {"start": 167.57, "end": 168.05, "word": " كلامك", "probability": 0.9306640625}, {"start": 168.05, "end": 168.41, "word": " صح،", "probability": 0.8409830729166666}, {"start": 168.41, "end": 168.71, "word": " هذه", "probability": 0.736328125}, {"start": 168.71, "end": 169.35, "word": " صحيحة", "probability": 0.92060546875}, {"start": 169.35, "end": 169.65, "word": " وهذه", "probability": 0.6923828125}, {"start": 169.65, "end": 170.03, "word": " صحية", "probability": 0.8626302083333334}], "temperature": 1.0}, {"id": 9, "seek": 18782, "start": 170.28, "end": 187.82, "text": "يعني اللي يعمل الخطوة الأولى صح و اللي يعمل الخطوة التانية صح يبقى بناء عليه بدي يصير عندنا مين هذه ال N X زائد اتنين طيب سؤال الآن احنا اثبتنا ان ال M", "tokens": [40228, 22653, 13672, 1829, 7251, 25957, 1211, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 20328, 5016, 4032, 13672, 1829, 7251, 25957, 1211, 33962, 9566, 2407, 3660, 16712, 7649, 10632, 20328, 5016, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 4724, 16254, 7251, 9381, 13546, 43242, 8315, 3714, 9957, 29538, 2423, 426, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 23032, 1829, 3555, 8608, 33604, 6027, 6024, 48506, 1975, 5016, 8315, 1975, 12984, 3555, 2655, 8315, 16472, 2423, 376], "avg_logprob": -0.21254006104591566, "compression_ratio": 1.756578947368421, "no_speech_prob": 0.0, "words": [{"start": 170.28, "end": 170.62, "word": "يعني", "probability": 0.5582275390625}, {"start": 170.62, "end": 170.8, "word": " اللي", "probability": 0.85205078125}, {"start": 170.8, "end": 171.16, "word": " يعمل", "probability": 0.9646809895833334}, {"start": 171.16, "end": 171.6, "word": " الخطوة", "probability": 0.9581298828125}, {"start": 171.6, "end": 171.98, "word": " الأولى", "probability": 0.97412109375}, {"start": 171.98, "end": 172.28, "word": " صح", "probability": 0.98779296875}, {"start": 172.28, "end": 172.7, "word": " و", "probability": 0.62158203125}, {"start": 172.7, "end": 172.84, "word": " اللي", "probability": 0.857666015625}, {"start": 172.84, "end": 173.1, "word": " يعمل", "probability": 0.99267578125}, {"start": 173.1, "end": 173.5, "word": " الخطوة", "probability": 0.953857421875}, {"start": 173.5, "end": 174.06, "word": " التانية", "probability": 0.9410807291666666}, {"start": 174.06, "end": 174.84, "word": " صح", "probability": 0.98388671875}, {"start": 174.84, "end": 175.56, "word": " يبقى", "probability": 0.93798828125}, {"start": 175.56, "end": 175.96, "word": " بناء", "probability": 0.888427734375}, {"start": 175.96, "end": 176.54, "word": " عليه", "probability": 0.9150390625}, {"start": 176.54, "end": 177.24, "word": " بدي", "probability": 0.4085693359375}, {"start": 177.24, "end": 177.56, "word": " يصير", "probability": 0.8294270833333334}, {"start": 177.56, "end": 177.98, "word": " عندنا", "probability": 0.732666015625}, {"start": 177.98, "end": 178.3, "word": " مين", "probability": 0.60125732421875}, {"start": 178.3, "end": 179.08, "word": " هذه", "probability": 0.315185546875}, {"start": 179.08, "end": 179.5, "word": " ال", "probability": 0.74853515625}, {"start": 179.5, "end": 179.94, "word": " N", "probability": 0.51611328125}, {"start": 179.94, "end": 180.8, "word": " X", "probability": 0.71337890625}, {"start": 180.8, "end": 181.78, "word": " زائد", "probability": 0.70947265625}, {"start": 181.78, "end": 182.28, "word": " اتنين", "probability": 0.8883056640625}, {"start": 182.28, "end": 183.32, "word": " طيب", "probability": 0.9249674479166666}, {"start": 183.32, "end": 184.88, "word": " سؤال", "probability": 0.9322916666666666}, {"start": 184.88, "end": 185.28, "word": " الآن", "probability": 0.662841796875}, {"start": 185.28, "end": 186.4, "word": " احنا", "probability": 0.94873046875}, {"start": 186.4, "end": 186.86, "word": " اثبتنا", "probability": 0.92314453125}, {"start": 186.86, "end": 187.08, "word": " ان", "probability": 0.8291015625}, {"start": 187.08, "end": 187.34, "word": " ال", "probability": 0.916015625}, {"start": 187.34, "end": 187.82, "word": " M", "probability": 0.59375}], "temperature": 1.0}, {"id": 10, "seek": 21021, "start": 189.57, "end": 210.21, "text": "هذا اللي هو one to one function ده لا increasing ثبتناه المرة الماضية يبقى one to one مظبوط او لا؟ مدام one to one اذا كان عندي صورتين متساويتين يبقى الأصل اللي لازم يكون معله متساوي لأن ال end is one to one", "tokens": [3224, 15730, 13672, 1829, 31439, 472, 281, 472, 2445, 11778, 3224, 20193, 5662, 38637, 3555, 2655, 8315, 3224, 9673, 25720, 9673, 46958, 10632, 7251, 3555, 4587, 7578, 472, 281, 472, 3714, 19913, 3555, 2407, 9566, 1975, 2407, 20193, 22807, 3714, 3215, 10943, 472, 281, 472, 1975, 15730, 25961, 18871, 16254, 20328, 13063, 2655, 9957, 44650, 3794, 995, 45865, 2655, 9957, 7251, 3555, 4587, 7578, 16247, 36520, 13672, 1829, 5296, 31377, 2304, 7251, 30544, 20449, 43761, 44650, 3794, 995, 45865, 5296, 33456, 2423, 917, 307, 472, 281, 472], "avg_logprob": -0.24129971184513785, "compression_ratio": 1.695187165775401, "no_speech_prob": 0.0, "words": [{"start": 189.57, "end": 190.21, "word": "هذا", "probability": 0.629150390625}, {"start": 190.21, "end": 190.45, "word": " اللي", "probability": 0.54754638671875}, {"start": 190.45, "end": 190.63, "word": " هو", "probability": 0.6337890625}, {"start": 190.63, "end": 190.87, "word": " one", "probability": 0.849609375}, {"start": 190.87, "end": 191.03, "word": " to", "probability": 0.84326171875}, {"start": 191.03, "end": 191.27, "word": " one", "probability": 0.95068359375}, {"start": 191.27, "end": 192.09, "word": " function", "probability": 0.9384765625}, {"start": 192.09, "end": 192.79, "word": " ده", "probability": 0.72900390625}, {"start": 192.79, "end": 192.95, "word": " لا", "probability": 0.6806640625}, {"start": 192.95, "end": 193.93, "word": " increasing", "probability": 0.8427734375}, {"start": 193.93, "end": 195.07, "word": " ثبتناه", "probability": 0.88427734375}, {"start": 195.07, "end": 195.39, "word": " المرة", "probability": 0.96533203125}, {"start": 195.39, "end": 196.03, "word": " الماضية", "probability": 0.9928385416666666}, {"start": 196.03, "end": 196.77, "word": " يبقى", "probability": 0.9564208984375}, {"start": 196.77, "end": 197.07, "word": " one", "probability": 0.9599609375}, {"start": 197.07, "end": 197.39, "word": " to", "probability": 0.9794921875}, {"start": 197.39, "end": 197.69, "word": " one", "probability": 0.9599609375}, {"start": 197.69, "end": 198.47, "word": " مظبوط", "probability": 0.7958984375}, {"start": 198.47, "end": 198.59, "word": " او", "probability": 0.5697021484375}, {"start": 198.59, "end": 199.11, "word": " لا؟", "probability": 0.748779296875}, {"start": 199.11, "end": 199.55, "word": " مدام", "probability": 0.484130859375}, {"start": 199.55, "end": 199.75, "word": " one", "probability": 0.63232421875}, {"start": 199.75, "end": 199.75, "word": " to", "probability": 0.9326171875}, {"start": 199.75, "end": 200.07, "word": " one", "probability": 0.95654296875}, {"start": 200.07, "end": 201.39, "word": " اذا", "probability": 0.6397705078125}, {"start": 201.39, "end": 201.85, "word": " كان", "probability": 0.9775390625}, {"start": 201.85, "end": 202.31, "word": " عندي", "probability": 0.7239990234375}, {"start": 202.31, "end": 203.29, "word": " صورتين", "probability": 0.8946533203125}, {"start": 203.29, "end": 204.89, "word": " متساويتين", "probability": 0.893310546875}, {"start": 204.89, "end": 205.59, "word": " يبقى", "probability": 0.9449462890625}, {"start": 205.59, "end": 206.01, "word": " الأصل", "probability": 0.822265625}, {"start": 206.01, "end": 206.23, "word": " اللي", "probability": 0.90771484375}, {"start": 206.23, "end": 206.45, "word": " لازم", "probability": 0.8992513020833334}, {"start": 206.45, "end": 206.65, "word": " يكون", "probability": 0.989013671875}, {"start": 206.65, "end": 207.11, "word": " معله", "probability": 0.778076171875}, {"start": 207.11, "end": 208.35, "word": " متساوي", "probability": 0.937255859375}, {"start": 208.35, "end": 208.63, "word": " لأن", "probability": 0.5460205078125}, {"start": 208.63, "end": 208.85, "word": " ال", "probability": 0.80517578125}, {"start": 208.85, "end": 209.17, "word": " end", "probability": 0.1365966796875}, {"start": 209.17, "end": 209.43, "word": " is", "probability": 0.7265625}, {"start": 209.43, "end": 209.73, "word": " one", "probability": 0.9541015625}, {"start": 209.73, "end": 209.95, "word": " to", "probability": 0.9775390625}, {"start": 209.95, "end": 210.21, "word": " one", "probability": 0.94921875}], "temperature": 1.0}, {"id": 11, "seek": 23864, "start": 210.5, "end": 238.64, "text": "يبقى هذا بدي أخبرك أن 2x زائد 1 يسوى الـ x زائد 2 لأن الـ x هو 1 to 1 طيب، بناءً عليه، حاسينا أن هنا x يسوى كم؟ يسوى 1، إذن x تسوى 1 هي التي تحقق المعاملة اللي أمامنا، بدنا نروح للمثال رقم 5", "tokens": [1829, 3555, 4587, 7578, 23758, 4724, 16254, 5551, 9778, 26890, 4117, 14739, 568, 87, 30767, 16373, 3215, 502, 7251, 3794, 2407, 7578, 2423, 39184, 2031, 30767, 16373, 3215, 568, 5296, 33456, 2423, 39184, 2031, 31439, 502, 281, 502, 23032, 1829, 3555, 12399, 44945, 16606, 14111, 47356, 12399, 11331, 32277, 1829, 8315, 14739, 34105, 2031, 7251, 3794, 2407, 7578, 9122, 2304, 22807, 7251, 3794, 2407, 7578, 502, 12399, 11933, 8848, 1863, 2031, 6055, 3794, 2407, 7578, 502, 39896, 38392, 6055, 5016, 4587, 4587, 9673, 3615, 10943, 37977, 13672, 1829, 5551, 2304, 10943, 8315, 12399, 47525, 8315, 8717, 32887, 5016, 5296, 19528, 12984, 6027, 12602, 4587, 2304, 1025], "avg_logprob": -0.31366821928559063, "compression_ratio": 1.6580310880829014, "no_speech_prob": 0.0, "words": [{"start": 210.5, "end": 211.06, "word": "يبقى", "probability": 0.82421875}, {"start": 211.06, "end": 211.3, "word": " هذا", "probability": 0.80517578125}, {"start": 211.3, "end": 211.66, "word": " بدي", "probability": 0.421173095703125}, {"start": 211.66, "end": 212.1, "word": " أخبرك", "probability": 0.817626953125}, {"start": 212.1, "end": 212.34, "word": " أن", "probability": 0.341796875}, {"start": 212.34, "end": 213.36, "word": " 2x", "probability": 0.573486328125}, {"start": 213.36, "end": 213.84, "word": " زائد", "probability": 0.6018269856770834}, {"start": 213.84, "end": 214.24, "word": " 1", "probability": 0.955078125}, {"start": 214.24, "end": 215.16, "word": " يسوى", "probability": 0.740478515625}, {"start": 215.16, "end": 215.36, "word": " الـ", "probability": 0.4737548828125}, {"start": 215.36, "end": 215.6, "word": " x", "probability": 0.80419921875}, {"start": 215.6, "end": 216.16, "word": " زائد", "probability": 0.9186197916666666}, {"start": 216.16, "end": 216.72, "word": " 2", "probability": 0.96435546875}, {"start": 216.72, "end": 219.7, "word": " لأن", "probability": 0.6361083984375}, {"start": 219.7, "end": 220.16, "word": " الـ", "probability": 0.6234130859375}, {"start": 220.16, "end": 220.58, "word": " x", "probability": 0.93359375}, {"start": 220.58, "end": 221.4, "word": " هو", "probability": 0.484130859375}, {"start": 221.4, "end": 222.18, "word": " 1", "probability": 0.69482421875}, {"start": 222.18, "end": 222.62, "word": " to", "probability": 0.1016845703125}, {"start": 222.62, "end": 222.96, "word": " 1", "probability": 0.89111328125}, {"start": 222.96, "end": 224.68, "word": " طيب،", "probability": 0.63116455078125}, {"start": 224.68, "end": 225.08, "word": " بناءً", "probability": 0.6986490885416666}, {"start": 225.08, "end": 225.44, "word": " عليه،", "probability": 0.6884765625}, {"start": 225.44, "end": 225.84, "word": " حاسينا", "probability": 0.43231201171875}, {"start": 225.84, "end": 226.08, "word": " أن", "probability": 0.70068359375}, {"start": 226.08, "end": 226.3, "word": " هنا", "probability": 0.4765625}, {"start": 226.3, "end": 226.6, "word": " x", "probability": 0.8193359375}, {"start": 226.6, "end": 227.0, "word": " يسوى", "probability": 0.8885498046875}, {"start": 227.0, "end": 227.88, "word": " كم؟", "probability": 0.681396484375}, {"start": 227.88, "end": 229.12, "word": " يسوى", "probability": 0.8995361328125}, {"start": 229.12, "end": 229.9, "word": " 1،", "probability": 0.6522216796875}, {"start": 229.9, "end": 230.4, "word": " إذن", "probability": 0.750244140625}, {"start": 230.4, "end": 230.68, "word": " x", "probability": 0.85498046875}, {"start": 230.68, "end": 231.14, "word": " تسوى", "probability": 0.7637939453125}, {"start": 231.14, "end": 231.6, "word": " 1", "probability": 0.96484375}, {"start": 231.6, "end": 232.2, "word": " هي", "probability": 0.849609375}, {"start": 232.2, "end": 232.5, "word": " التي", "probability": 0.8955078125}, {"start": 232.5, "end": 233.18, "word": " تحقق", "probability": 0.978515625}, {"start": 233.18, "end": 234.04, "word": " المعاملة", "probability": 0.990966796875}, {"start": 234.04, "end": 234.96, "word": " اللي", "probability": 0.901611328125}, {"start": 234.96, "end": 236.2, "word": " أمامنا،", "probability": 0.834375}, {"start": 236.2, "end": 236.56, "word": " بدنا", "probability": 0.63134765625}, {"start": 236.56, "end": 236.82, "word": " نروح", "probability": 0.9930013020833334}, {"start": 236.82, "end": 237.48, "word": " للمثال", "probability": 0.9346923828125}, {"start": 237.48, "end": 238.1, "word": " رقم", "probability": 0.9814453125}, {"start": 238.1, "end": 238.64, "word": " 5", "probability": 0.76708984375}], "temperature": 1.0}, {"id": 12, "seek": 26389, "start": 240.15, "end": 263.89, "text": "رقم خمسة بيقول find y prime for each of the following يعني بدنا مشتقة كل مما يأتي نمرة واحد y تساوي x الجدرى التربية إلى لنا ال x", "tokens": [2288, 4587, 2304, 16490, 2304, 3794, 3660, 4724, 1829, 39648, 915, 288, 5835, 337, 1184, 295, 264, 3480, 37495, 22653, 47525, 8315, 37893, 2655, 28671, 28242, 3714, 15042, 7251, 10721, 31371, 8717, 2304, 25720, 36764, 24401, 288, 6055, 3794, 995, 45865, 2031, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 30731, 5296, 8315, 2423, 2031], "avg_logprob": -0.2754261244427074, "compression_ratio": 1.2875816993464053, "no_speech_prob": 0.0, "words": [{"start": 240.15, "end": 240.73, "word": "رقم", "probability": 0.8623046875}, {"start": 240.73, "end": 241.21, "word": " خمسة", "probability": 0.8985595703125}, {"start": 241.21, "end": 241.53, "word": " بيقول", "probability": 0.8447265625}, {"start": 241.53, "end": 242.59, "word": " find", "probability": 0.261962890625}, {"start": 242.59, "end": 243.63, "word": " y", "probability": 0.59326171875}, {"start": 243.63, "end": 244.45, "word": " prime", "probability": 0.359619140625}, {"start": 244.45, "end": 245.17, "word": " for", "probability": 0.9033203125}, {"start": 245.17, "end": 246.99, "word": " each", "probability": 0.9638671875}, {"start": 246.99, "end": 248.23, "word": " of", "probability": 0.96728515625}, {"start": 248.23, "end": 249.25, "word": " the", "probability": 0.90234375}, {"start": 249.25, "end": 250.41, "word": " following", "probability": 0.849609375}, {"start": 250.41, "end": 251.29, "word": " يعني", "probability": 0.83349609375}, {"start": 251.29, "end": 251.73, "word": " بدنا", "probability": 0.75732421875}, {"start": 251.73, "end": 252.77, "word": " مشتقة", "probability": 0.8707682291666666}, {"start": 252.77, "end": 253.89, "word": " كل", "probability": 0.97998046875}, {"start": 253.89, "end": 254.65, "word": " مما", "probability": 0.943115234375}, {"start": 254.65, "end": 255.33, "word": " يأتي", "probability": 0.9519856770833334}, {"start": 255.33, "end": 257.93, "word": " نمرة", "probability": 0.7154947916666666}, {"start": 257.93, "end": 258.51, "word": " واحد", "probability": 0.98095703125}, {"start": 258.51, "end": 259.53, "word": " y", "probability": 0.5029296875}, {"start": 259.53, "end": 260.33, "word": " تساوي", "probability": 0.7593994140625}, {"start": 260.33, "end": 260.83, "word": " x", "probability": 0.9697265625}, {"start": 260.83, "end": 261.95, "word": " الجدرى", "probability": 0.479461669921875}, {"start": 261.95, "end": 262.67, "word": " التربية", "probability": 0.8505859375}, {"start": 262.67, "end": 262.99, "word": " إلى", "probability": 0.40185546875}, {"start": 262.99, "end": 263.35, "word": " لنا", "probability": 0.895263671875}, {"start": 263.35, "end": 263.55, "word": " ال", "probability": 0.87255859375}, {"start": 263.55, "end": 263.89, "word": " x", "probability": 0.7041015625}], "temperature": 1.0}, {"id": 13, "seek": 29125, "start": 266.51, "end": 291.25, "text": "يبقى هذه تعتبر function وهذه كلها تعتبر function تانية يبقى هذه مشتقة حاصل ضرب الدالتين يبقى ايش بده يجعلنا هنا باجي بقول هذا بده يعطينا ان y prime تساوي الدالة الأولى في مشتقة الدالة التانية مشتقة الجذر واحد", "tokens": [1829, 3555, 4587, 7578, 29538, 6055, 34268, 26890, 2445, 37037, 24192, 28242, 11296, 6055, 34268, 26890, 2445, 6055, 7649, 10632, 7251, 3555, 4587, 7578, 29538, 37893, 2655, 28671, 11331, 33546, 1211, 48812, 25513, 32748, 6027, 2655, 9957, 7251, 3555, 4587, 7578, 1975, 1829, 8592, 47525, 3224, 7251, 7435, 30241, 8315, 34105, 4724, 26108, 1829, 4724, 39648, 23758, 47525, 3224, 37495, 9566, 1829, 8315, 16472, 288, 5835, 6055, 3794, 995, 45865, 32748, 6027, 3660, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 16712, 7649, 10632, 37893, 2655, 28671, 25724, 8848, 2288, 36764, 24401], "avg_logprob": -0.20805921429081967, "compression_ratio": 1.8888888888888888, "no_speech_prob": 0.0, "words": [{"start": 266.51, "end": 267.11, "word": "يبقى", "probability": 0.83245849609375}, {"start": 267.11, "end": 267.45, "word": " هذه", "probability": 0.6572265625}, {"start": 267.45, "end": 268.33, "word": " تعتبر", "probability": 0.9654947916666666}, {"start": 268.33, "end": 269.31, "word": " function", "probability": 0.79833984375}, {"start": 269.31, "end": 270.23, "word": " وهذه", "probability": 0.72607421875}, {"start": 270.23, "end": 270.61, "word": " كلها", "probability": 0.789306640625}, {"start": 270.61, "end": 271.09, "word": " تعتبر", "probability": 0.97119140625}, {"start": 271.09, "end": 272.41, "word": " function", "probability": 0.42431640625}, {"start": 272.41, "end": 272.83, "word": " تانية", "probability": 0.6075846354166666}, {"start": 272.83, "end": 273.15, "word": " يبقى", "probability": 0.8804931640625}, {"start": 273.15, "end": 273.33, "word": " هذه", "probability": 0.270263671875}, {"start": 273.33, "end": 274.07, "word": " مشتقة", "probability": 0.9072265625}, {"start": 274.07, "end": 274.79, "word": " حاصل", "probability": 0.8268229166666666}, {"start": 274.79, "end": 275.25, "word": " ضرب", "probability": 0.979248046875}, {"start": 275.25, "end": 276.55, "word": " الدالتين", "probability": 0.89453125}, {"start": 276.55, "end": 277.35, "word": " يبقى", "probability": 0.937744140625}, {"start": 277.35, "end": 277.47, "word": " ايش", "probability": 0.694580078125}, {"start": 277.47, "end": 277.73, "word": " بده", "probability": 0.576171875}, {"start": 277.73, "end": 278.21, "word": " يجعلنا", "probability": 0.8082275390625}, {"start": 278.21, "end": 278.71, "word": " هنا", "probability": 0.9853515625}, {"start": 278.71, "end": 279.65, "word": " باجي", "probability": 0.6586100260416666}, {"start": 279.65, "end": 280.21, "word": " بقول", "probability": 0.90869140625}, {"start": 280.21, "end": 280.69, "word": " هذا", "probability": 0.89208984375}, {"start": 280.69, "end": 281.17, "word": " بده", "probability": 0.740234375}, {"start": 281.17, "end": 281.73, "word": " يعطينا", "probability": 0.9566650390625}, {"start": 281.73, "end": 282.05, "word": " ان", "probability": 0.3818359375}, {"start": 282.05, "end": 282.49, "word": " y", "probability": 0.73779296875}, {"start": 282.49, "end": 283.07, "word": " prime", "probability": 0.37890625}, {"start": 283.07, "end": 284.27, "word": " تساوي", "probability": 0.9432373046875}, {"start": 284.27, "end": 285.31, "word": " الدالة", "probability": 0.96337890625}, {"start": 285.31, "end": 286.07, "word": " الأولى", "probability": 0.9069010416666666}, {"start": 286.07, "end": 286.35, "word": " في", "probability": 0.84033203125}, {"start": 286.35, "end": 287.05, "word": " مشتقة", "probability": 0.97509765625}, {"start": 287.05, "end": 287.71, "word": " الدالة", "probability": 0.95654296875}, {"start": 287.71, "end": 288.27, "word": " التانية", "probability": 0.9615885416666666}, {"start": 288.27, "end": 289.23, "word": " مشتقة", "probability": 0.9231770833333334}, {"start": 289.23, "end": 289.95, "word": " الجذر", "probability": 0.94287109375}, {"start": 289.95, "end": 291.25, "word": " واحد", "probability": 0.96240234375}], "temperature": 1.0}, {"id": 14, "seek": 31572, "start": 291.78, "end": 315.72, "text": "على اتنين الجدر في مشتقة ما داخل الجدر يبقى واحد على اتنين الجدر التربية لن ال X في مشتقة لن ال X اجتناقنا اللي اجتناقناها المرة الماضية كانت واحد على X زائد الدالة التانية الجدر التربية لن ال X", "tokens": [3615, 23942, 1975, 2655, 1863, 9957, 25724, 3215, 2288, 8978, 37893, 2655, 28671, 19446, 11778, 47283, 1211, 25724, 3215, 2288, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 25724, 3215, 2288, 16712, 25513, 10632, 5296, 1863, 2423, 1783, 8978, 37893, 2655, 28671, 5296, 1863, 2423, 1783, 1975, 7435, 2655, 8315, 4587, 8315, 13672, 1829, 1975, 7435, 2655, 8315, 4587, 8315, 11296, 9673, 25720, 9673, 46958, 10632, 25961, 2655, 36764, 24401, 15844, 1783, 30767, 16373, 3215, 32748, 6027, 3660, 16712, 7649, 10632, 25724, 3215, 2288, 16712, 25513, 10632, 5296, 1863, 2423, 1783], "avg_logprob": -0.16422697023341531, "compression_ratio": 2.3537414965986394, "no_speech_prob": 0.0, "words": [{"start": 291.78, "end": 292.28, "word": "على", "probability": 0.70703125}, {"start": 292.28, "end": 292.84, "word": " اتنين", "probability": 0.8011474609375}, {"start": 292.84, "end": 293.7, "word": " الجدر", "probability": 0.8204752604166666}, {"start": 293.7, "end": 294.22, "word": " في", "probability": 0.363525390625}, {"start": 294.22, "end": 294.98, "word": " مشتقة", "probability": 0.8863932291666666}, {"start": 294.98, "end": 295.54, "word": " ما", "probability": 0.91650390625}, {"start": 295.54, "end": 296.08, "word": " داخل", "probability": 0.9635416666666666}, {"start": 296.08, "end": 296.68, "word": " الجدر", "probability": 0.9777018229166666}, {"start": 296.68, "end": 297.76, "word": " يبقى", "probability": 0.9573974609375}, {"start": 297.76, "end": 298.66, "word": " واحد", "probability": 0.834716796875}, {"start": 298.66, "end": 299.34, "word": " على", "probability": 0.78564453125}, {"start": 299.34, "end": 300.4, "word": " اتنين", "probability": 0.9755859375}, {"start": 300.4, "end": 301.36, "word": " الجدر", "probability": 0.94921875}, {"start": 301.36, "end": 302.12, "word": " التربية", "probability": 0.7151692708333334}, {"start": 302.12, "end": 302.7, "word": " لن", "probability": 0.602783203125}, {"start": 302.7, "end": 302.94, "word": " ال", "probability": 0.61181640625}, {"start": 302.94, "end": 303.3, "word": " X", "probability": 0.56640625}, {"start": 303.3, "end": 303.84, "word": " في", "probability": 0.77197265625}, {"start": 303.84, "end": 304.5, "word": " مشتقة", "probability": 0.9794921875}, {"start": 304.5, "end": 304.82, "word": " لن", "probability": 0.986083984375}, {"start": 304.82, "end": 304.98, "word": " ال", "probability": 0.79541015625}, {"start": 304.98, "end": 305.36, "word": " X", "probability": 0.9912109375}, {"start": 305.36, "end": 306.46, "word": " اجتناقنا", "probability": 0.7032877604166666}, {"start": 306.46, "end": 306.62, "word": " اللي", "probability": 0.796630859375}, {"start": 306.62, "end": 307.28, "word": " اجتناقناها", "probability": 0.8370535714285714}, {"start": 307.28, "end": 307.62, "word": " المرة", "probability": 0.971435546875}, {"start": 307.62, "end": 308.28, "word": " الماضية", "probability": 0.9934895833333334}, {"start": 308.28, "end": 309.12, "word": " كانت", "probability": 0.9775390625}, {"start": 309.12, "end": 309.54, "word": " واحد", "probability": 0.962158203125}, {"start": 309.54, "end": 309.76, "word": " على", "probability": 0.7607421875}, {"start": 309.76, "end": 310.12, "word": " X", "probability": 0.923828125}, {"start": 310.12, "end": 311.74, "word": " زائد", "probability": 0.8854166666666666}, {"start": 311.74, "end": 312.7, "word": " الدالة", "probability": 0.8611653645833334}, {"start": 312.7, "end": 313.44, "word": " التانية", "probability": 0.9679361979166666}, {"start": 313.44, "end": 314.32, "word": " الجدر", "probability": 0.9718424479166666}, {"start": 314.32, "end": 314.82, "word": " التربية", "probability": 0.9778645833333334}, {"start": 314.82, "end": 315.22, "word": " لن", "probability": 0.861083984375}, {"start": 315.22, "end": 315.42, "word": " ال", "probability": 0.8642578125}, {"start": 315.42, "end": 315.72, "word": " X", "probability": 0.97900390625}], "temperature": 1.0}, {"id": 15, "seek": 34306, "start": 315.98, "end": 343.06, "text": "في مستقل ال X اللي مجددك بواحد صحيح بتروح هذه مع هذه يبقى أصبح عندي ال Y prime يسوى واحد على اتنين الجدر التربيع لن ال X زائد الجدر التربيع لمن؟ لن ال X طيب سؤال التاني بدنا Y تساوي", "tokens": [41185, 3714, 14851, 4587, 1211, 2423, 1783, 13672, 1829, 3714, 7435, 3215, 3215, 4117, 4724, 14407, 24401, 20328, 5016, 1829, 5016, 39894, 32887, 5016, 29538, 20449, 29538, 7251, 3555, 4587, 7578, 5551, 9381, 49628, 18871, 16254, 2423, 398, 5835, 7251, 3794, 2407, 7578, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 5296, 1863, 2423, 1783, 30767, 16373, 3215, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 5296, 27842, 22807, 5296, 1863, 2423, 1783, 23032, 1829, 3555, 8608, 33604, 6027, 16712, 7649, 1829, 47525, 8315, 398, 6055, 3794, 995, 45865], "avg_logprob": -0.2251644680374547, "compression_ratio": 1.729281767955801, "no_speech_prob": 0.0, "words": [{"start": 315.98, "end": 316.2, "word": "في", "probability": 0.422607421875}, {"start": 316.2, "end": 316.86, "word": " مستقل", "probability": 0.70611572265625}, {"start": 316.86, "end": 317.1, "word": " ال", "probability": 0.62646484375}, {"start": 317.1, "end": 317.26, "word": " X", "probability": 0.47705078125}, {"start": 317.26, "end": 317.42, "word": " اللي", "probability": 0.63134765625}, {"start": 317.42, "end": 318.32, "word": " مجددك", "probability": 0.698876953125}, {"start": 318.32, "end": 319.36, "word": " بواحد", "probability": 0.78955078125}, {"start": 319.36, "end": 319.9, "word": " صحيح", "probability": 0.9105224609375}, {"start": 319.9, "end": 321.1, "word": " بتروح", "probability": 0.8097330729166666}, {"start": 321.1, "end": 321.54, "word": " هذه", "probability": 0.732421875}, {"start": 321.54, "end": 322.14, "word": " مع", "probability": 0.9541015625}, {"start": 322.14, "end": 322.64, "word": " هذه", "probability": 0.865234375}, {"start": 322.64, "end": 323.52, "word": " يبقى", "probability": 0.915771484375}, {"start": 323.52, "end": 324.08, "word": " أصبح", "probability": 0.892578125}, {"start": 324.08, "end": 324.68, "word": " عندي", "probability": 0.890380859375}, {"start": 324.68, "end": 325.32, "word": " ال", "probability": 0.89111328125}, {"start": 325.32, "end": 325.62, "word": " Y", "probability": 0.91015625}, {"start": 325.62, "end": 326.28, "word": " prime", "probability": 0.301025390625}, {"start": 326.28, "end": 327.12, "word": " يسوى", "probability": 0.7911376953125}, {"start": 327.12, "end": 327.76, "word": " واحد", "probability": 0.94482421875}, {"start": 327.76, "end": 328.4, "word": " على", "probability": 0.7353515625}, {"start": 328.4, "end": 329.08, "word": " اتنين", "probability": 0.9522705078125}, {"start": 329.08, "end": 330.06, "word": " الجدر", "probability": 0.9098307291666666}, {"start": 330.06, "end": 330.66, "word": " التربيع", "probability": 0.65380859375}, {"start": 330.66, "end": 331.1, "word": " لن", "probability": 0.555908203125}, {"start": 331.1, "end": 331.32, "word": " ال", "probability": 0.68798828125}, {"start": 331.32, "end": 331.68, "word": " X", "probability": 0.98291015625}, {"start": 331.68, "end": 332.68, "word": " زائد", "probability": 0.89306640625}, {"start": 332.68, "end": 333.22, "word": " الجدر", "probability": 0.9825846354166666}, {"start": 333.22, "end": 333.98, "word": " التربيع", "probability": 0.9600830078125}, {"start": 333.98, "end": 335.04, "word": " لمن؟", "probability": 0.6941731770833334}, {"start": 335.04, "end": 335.6, "word": " لن", "probability": 0.932861328125}, {"start": 335.6, "end": 335.9, "word": " ال", "probability": 0.76220703125}, {"start": 335.9, "end": 336.32, "word": " X", "probability": 0.99072265625}, {"start": 336.32, "end": 338.68, "word": " طيب", "probability": 0.9480794270833334}, {"start": 338.68, "end": 339.48, "word": " سؤال", "probability": 0.923828125}, {"start": 339.48, "end": 340.62, "word": " التاني", "probability": 0.6446126302083334}, {"start": 340.62, "end": 341.7, "word": " بدنا", "probability": 0.84130859375}, {"start": 341.7, "end": 342.14, "word": " Y", "probability": 0.970703125}, {"start": 342.14, "end": 343.06, "word": " تساوي", "probability": 0.955810546875}], "temperature": 1.0}, {"id": 16, "seek": 35124, "start": 344.32, "end": 351.24, "text": "X تربيع في الان ال X كل هذا أُس كده ايش؟ أُس، أربعة", "tokens": [55, 6055, 2288, 21292, 3615, 8978, 2423, 7649, 2423, 1783, 28242, 23758, 5551, 10859, 3794, 9122, 3215, 3224, 1975, 1829, 8592, 22807, 5551, 10859, 3794, 12399, 5551, 25513, 27884], "avg_logprob": -0.6177083532015483, "compression_ratio": 1.0864197530864197, "no_speech_prob": 0.0, "words": [{"start": 344.32, "end": 344.76, "word": "X", "probability": 0.06072998046875}, {"start": 344.76, "end": 345.62, "word": " تربيع", "probability": 0.7281494140625}, {"start": 345.62, "end": 346.26, "word": " في", "probability": 0.5576171875}, {"start": 346.26, "end": 346.62, "word": " الان", "probability": 0.336181640625}, {"start": 346.62, "end": 346.88, "word": " ال", "probability": 0.50146484375}, {"start": 346.88, "end": 347.32, "word": " X", "probability": 0.869140625}, {"start": 347.32, "end": 348.24, "word": " كل", "probability": 0.884765625}, {"start": 348.24, "end": 348.7, "word": " هذا", "probability": 0.8193359375}, {"start": 348.7, "end": 348.98, "word": " أُس", "probability": 0.5519205729166666}, {"start": 348.98, "end": 349.44, "word": " كده", "probability": 0.7369791666666666}, {"start": 349.44, "end": 350.08, "word": " ايش؟", "probability": 0.5421142578125}, {"start": 350.08, "end": 350.52, "word": " أُس،", "probability": 0.768524169921875}, {"start": 350.52, "end": 351.24, "word": " أربعة", "probability": 0.8113606770833334}], "temperature": 1.0}, {"id": 17, "seek": 38100, "start": 358.0, "end": 381.0, "text": "هذا قوس مرفوعة من القوس. لو رجعنا بالذاكرة إلى الورق في calculus ايه؟ بجينا نقول القوس في القوس مرفوعة لنفس القوس مطروح من واحد في مشتقة ما داخل القوس.يفجأة هذا بدي أعطيك هاي القوس وهي القوس زي ما هو", "tokens": [3224, 15730, 12174, 41779, 3714, 28480, 2407, 27884, 9154, 25062, 41779, 13, 45164, 12602, 7435, 3615, 8315, 20666, 15730, 4117, 25720, 30731, 2423, 13063, 4587, 8978, 33400, 1975, 1829, 3224, 22807, 4724, 7435, 1829, 8315, 8717, 39648, 25062, 41779, 8978, 25062, 41779, 3714, 28480, 2407, 27884, 5296, 1863, 36178, 25062, 41779, 3714, 9566, 32887, 5016, 9154, 36764, 24401, 8978, 37893, 2655, 28671, 19446, 11778, 47283, 1211, 25062, 41779, 13, 33911, 7435, 10721, 3660, 23758, 4724, 16254, 5551, 3615, 9566, 1829, 4117, 8032, 47302, 25062, 41779, 37037, 1829, 25062, 41779, 30767, 1829, 19446, 31439], "avg_logprob": -0.2114361749684557, "compression_ratio": 1.8918918918918919, "no_speech_prob": 0.0, "words": [{"start": 358.0, "end": 358.7, "word": "هذا", "probability": 0.847900390625}, {"start": 358.7, "end": 359.86, "word": " قوس", "probability": 0.517333984375}, {"start": 359.86, "end": 360.84, "word": " مرفوعة", "probability": 0.7783203125}, {"start": 360.84, "end": 361.34, "word": " من", "probability": 0.955078125}, {"start": 361.34, "end": 362.32, "word": " القوس.", "probability": 0.6685791015625}, {"start": 362.46, "end": 363.06, "word": " لو", "probability": 0.7509765625}, {"start": 363.06, "end": 363.56, "word": " رجعنا", "probability": 0.9136962890625}, {"start": 363.56, "end": 364.3, "word": " بالذاكرة", "probability": 0.85888671875}, {"start": 364.3, "end": 364.5, "word": " إلى", "probability": 0.66796875}, {"start": 364.5, "end": 364.94, "word": " الورق", "probability": 0.7791341145833334}, {"start": 364.94, "end": 365.18, "word": " في", "probability": 0.91796875}, {"start": 365.18, "end": 365.68, "word": " calculus", "probability": 0.67529296875}, {"start": 365.68, "end": 366.98, "word": " ايه؟", "probability": 0.692138671875}, {"start": 366.98, "end": 367.42, "word": " بجينا", "probability": 0.8214111328125}, {"start": 367.42, "end": 367.92, "word": " نقول", "probability": 0.99072265625}, {"start": 367.92, "end": 368.68, "word": " القوس", "probability": 0.8740234375}, {"start": 368.68, "end": 369.28, "word": " في", "probability": 0.9228515625}, {"start": 369.28, "end": 370.0, "word": " القوس", "probability": 0.93115234375}, {"start": 370.0, "end": 370.68, "word": " مرفوعة", "probability": 0.9710693359375}, {"start": 370.68, "end": 371.0, "word": " لنفس", "probability": 0.9407552083333334}, {"start": 371.0, "end": 371.32, "word": " القوس", "probability": 0.95068359375}, {"start": 371.32, "end": 371.8, "word": " مطروح", "probability": 0.8094482421875}, {"start": 371.8, "end": 371.94, "word": " من", "probability": 0.9853515625}, {"start": 371.94, "end": 372.48, "word": " واحد", "probability": 0.864501953125}, {"start": 372.48, "end": 372.96, "word": " في", "probability": 0.92431640625}, {"start": 372.96, "end": 373.6, "word": " مشتقة", "probability": 0.7916666666666666}, {"start": 373.6, "end": 373.8, "word": " ما", "probability": 0.6923828125}, {"start": 373.8, "end": 374.36, "word": " داخل", "probability": 0.970703125}, {"start": 374.36, "end": 374.88, "word": " القوس", "probability": 0.98974609375}, {"start": 374.88, "end": 375.82, "word": ".يفجأة", "probability": 0.794384765625}, {"start": 375.82, "end": 376.02, "word": " هذا", "probability": 0.8916015625}, {"start": 376.02, "end": 376.34, "word": " بدي", "probability": 0.794921875}, {"start": 376.34, "end": 376.9, "word": " أعطيك", "probability": 0.8958984375}, {"start": 376.9, "end": 377.62, "word": " هاي", "probability": 0.4254150390625}, {"start": 377.62, "end": 378.18, "word": " القوس", "probability": 0.969970703125}, {"start": 378.18, "end": 379.28, "word": " وهي", "probability": 0.689453125}, {"start": 379.28, "end": 379.88, "word": " القوس", "probability": 0.891357421875}, {"start": 379.88, "end": 380.52, "word": " زي", "probability": 0.990966796875}, {"start": 380.52, "end": 380.7, "word": " ما", "probability": 0.97998046875}, {"start": 380.7, "end": 381.0, "word": " هو", "probability": 0.994140625}], "temperature": 1.0}, {"id": 18, "seek": 40336, "start": 381.68, "end": 403.36, "text": "مرفوع للأس أربع ناقص واحد اللي يسوي جديش تلاتة في مشتقة مداخل القوس مداخل القوس حاصل ضرب دالتين هذه تعتبر دالة وهذه تعتبر دالة إذا X تربيها في مشتقة ضمن ال X اللي بواحد على X", "tokens": [2304, 28480, 45367, 24976, 10721, 3794, 5551, 25513, 3615, 8717, 995, 4587, 9381, 36764, 24401, 13672, 1829, 7251, 3794, 45865, 10874, 16254, 8592, 6055, 1211, 9307, 3660, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 25062, 41779, 3714, 3215, 47283, 1211, 25062, 41779, 11331, 33546, 1211, 48812, 25513, 11778, 6027, 2655, 9957, 29538, 6055, 34268, 26890, 11778, 6027, 3660, 37037, 24192, 6055, 34268, 26890, 11778, 6027, 3660, 11933, 15730, 1783, 6055, 2288, 21292, 11296, 8978, 37893, 2655, 28671, 48812, 27842, 2423, 1783, 13672, 1829, 4724, 14407, 24401, 15844, 1783], "avg_logprob": -0.2493055697944429, "compression_ratio": 1.8902439024390243, "no_speech_prob": 0.0, "words": [{"start": 381.68, "end": 382.56, "word": "مرفوع", "probability": 0.7440592447916666}, {"start": 382.56, "end": 383.36, "word": " للأس", "probability": 0.739013671875}, {"start": 383.36, "end": 384.0, "word": " أربع", "probability": 0.6088053385416666}, {"start": 384.0, "end": 384.52, "word": " ناقص", "probability": 0.968994140625}, {"start": 384.52, "end": 384.88, "word": " واحد", "probability": 0.944091796875}, {"start": 384.88, "end": 385.0, "word": " اللي", "probability": 0.6343994140625}, {"start": 385.0, "end": 385.34, "word": " يسوي", "probability": 0.547607421875}, {"start": 385.34, "end": 386.02, "word": " جديش", "probability": 0.583740234375}, {"start": 386.02, "end": 387.2, "word": " تلاتة", "probability": 0.853515625}, {"start": 387.2, "end": 387.62, "word": " في", "probability": 0.7705078125}, {"start": 387.62, "end": 388.32, "word": " مشتقة", "probability": 0.8878580729166666}, {"start": 388.32, "end": 389.1, "word": " مداخل", "probability": 0.911376953125}, {"start": 389.1, "end": 389.76, "word": " القوس", "probability": 0.908203125}, {"start": 389.76, "end": 390.94, "word": " مداخل", "probability": 0.82025146484375}, {"start": 390.94, "end": 391.34, "word": " القوس", "probability": 0.950927734375}, {"start": 391.34, "end": 392.0, "word": " حاصل", "probability": 0.7340494791666666}, {"start": 392.0, "end": 392.34, "word": " ضرب", "probability": 0.995361328125}, {"start": 392.34, "end": 393.2, "word": " دالتين", "probability": 0.8831787109375}, {"start": 393.2, "end": 393.88, "word": " هذه", "probability": 0.65185546875}, {"start": 393.88, "end": 394.44, "word": " تعتبر", "probability": 0.9786783854166666}, {"start": 394.44, "end": 395.16, "word": " دالة", "probability": 0.978515625}, {"start": 395.16, "end": 395.84, "word": " وهذه", "probability": 0.844970703125}, {"start": 395.84, "end": 396.36, "word": " تعتبر", "probability": 0.97802734375}, {"start": 396.36, "end": 397.12, "word": " دالة", "probability": 0.9814453125}, {"start": 397.12, "end": 398.0, "word": " إذا", "probability": 0.740966796875}, {"start": 398.0, "end": 398.94, "word": " X", "probability": 0.44873046875}, {"start": 398.94, "end": 399.84, "word": " تربيها", "probability": 0.70928955078125}, {"start": 399.84, "end": 400.26, "word": " في", "probability": 0.947265625}, {"start": 400.26, "end": 401.32, "word": " مشتقة", "probability": 0.9720052083333334}, {"start": 401.32, "end": 401.72, "word": " ضمن", "probability": 0.60784912109375}, {"start": 401.72, "end": 401.88, "word": " ال", "probability": 0.78076171875}, {"start": 401.88, "end": 402.1, "word": " X", "probability": 0.8583984375}, {"start": 402.1, "end": 402.28, "word": " اللي", "probability": 0.60162353515625}, {"start": 402.28, "end": 402.78, "word": " بواحد", "probability": 0.7978515625}, {"start": 402.78, "end": 403.02, "word": " على", "probability": 0.634765625}, {"start": 403.02, "end": 403.36, "word": " X", "probability": 0.98828125}], "temperature": 1.0}, {"id": 19, "seek": 42965, "start": 403.75, "end": 429.65, "text": "زائد لن ال X في مشتقة ال X ثربية ليه بيبقى كده ايش؟ اتنين X لو قعدنا ترتيبها يبقى اربعة في X ثربية لن ال X الكل تكيب في X زائد اتنين X لن ال X طب السؤال التالت", "tokens": [11622, 16373, 3215, 5296, 1863, 2423, 1783, 8978, 37893, 2655, 28671, 2423, 1783, 38637, 25513, 10632, 32239, 3224, 4724, 1829, 3555, 4587, 7578, 9122, 3215, 3224, 1975, 1829, 8592, 22807, 1975, 2655, 1863, 9957, 1783, 45164, 12174, 22488, 8315, 6055, 2288, 31371, 3555, 11296, 7251, 3555, 4587, 7578, 1975, 25513, 27884, 8978, 1783, 38637, 25513, 10632, 5296, 1863, 2423, 1783, 2423, 28820, 6055, 4117, 1829, 3555, 8978, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 1783, 5296, 1863, 2423, 1783, 23032, 3555, 21136, 33604, 6027, 16712, 6027, 2655], "avg_logprob": -0.2152387613660834, "compression_ratio": 1.8630136986301369, "no_speech_prob": 0.0, "words": [{"start": 403.75, "end": 404.71, "word": "زائد", "probability": 0.6282552083333334}, {"start": 404.71, "end": 405.65, "word": " لن", "probability": 0.881103515625}, {"start": 405.65, "end": 405.87, "word": " ال", "probability": 0.66748046875}, {"start": 405.87, "end": 406.21, "word": " X", "probability": 0.62744140625}, {"start": 406.21, "end": 406.67, "word": " في", "probability": 0.45751953125}, {"start": 406.67, "end": 407.33, "word": " مشتقة", "probability": 0.8587239583333334}, {"start": 407.33, "end": 407.63, "word": " ال", "probability": 0.68603515625}, {"start": 407.63, "end": 407.89, "word": " X", "probability": 0.97802734375}, {"start": 407.89, "end": 408.39, "word": " ثربية", "probability": 0.625}, {"start": 408.39, "end": 408.65, "word": " ليه", "probability": 0.69140625}, {"start": 408.65, "end": 408.79, "word": " بيبقى", "probability": 0.8337890625}, {"start": 408.79, "end": 409.15, "word": " كده", "probability": 0.6253458658854166}, {"start": 409.15, "end": 409.47, "word": " ايش؟", "probability": 0.59576416015625}, {"start": 409.47, "end": 410.39, "word": " اتنين", "probability": 0.763580322265625}, {"start": 410.39, "end": 410.87, "word": " X", "probability": 0.5751953125}, {"start": 410.87, "end": 411.53, "word": " لو", "probability": 0.83203125}, {"start": 411.53, "end": 412.11, "word": " قعدنا", "probability": 0.9947916666666666}, {"start": 412.11, "end": 412.99, "word": " ترتيبها", "probability": 0.969921875}, {"start": 412.99, "end": 414.01, "word": " يبقى", "probability": 0.96435546875}, {"start": 414.01, "end": 414.87, "word": " اربعة", "probability": 0.8229166666666666}, {"start": 414.87, "end": 415.71, "word": " في", "probability": 0.947265625}, {"start": 415.71, "end": 416.43, "word": " X", "probability": 0.982421875}, {"start": 416.43, "end": 417.15, "word": " ثربية", "probability": 0.8878580729166666}, {"start": 417.15, "end": 417.71, "word": " لن", "probability": 0.98681640625}, {"start": 417.71, "end": 417.95, "word": " ال", "probability": 0.66064453125}, {"start": 417.95, "end": 418.23, "word": " X", "probability": 0.99072265625}, {"start": 418.23, "end": 418.95, "word": " الكل", "probability": 0.76123046875}, {"start": 418.95, "end": 419.99, "word": " تكيب", "probability": 0.9473876953125}, {"start": 419.99, "end": 420.87, "word": " في", "probability": 0.97998046875}, {"start": 420.87, "end": 421.89, "word": " X", "probability": 0.9736328125}, {"start": 421.89, "end": 422.79, "word": " زائد", "probability": 0.9778645833333334}, {"start": 422.79, "end": 423.53, "word": " اتنين", "probability": 0.9881591796875}, {"start": 423.53, "end": 424.15, "word": " X", "probability": 0.9951171875}, {"start": 424.15, "end": 425.21, "word": " لن", "probability": 0.98779296875}, {"start": 425.21, "end": 425.51, "word": " ال", "probability": 0.9189453125}, {"start": 425.51, "end": 425.97, "word": " X", "probability": 0.99267578125}, {"start": 425.97, "end": 428.55, "word": " طب", "probability": 0.5672607421875}, {"start": 428.55, "end": 428.95, "word": " السؤال", "probability": 0.9921875}, {"start": 428.95, "end": 429.65, "word": " التالت", "probability": 0.9635416666666666}], "temperature": 1.0}, {"id": 20, "seek": 45052, "start": 432.2, "end": 450.52, "text": "يقول لي Y تساوي لن للن ثلاثة X زائد أربعة لن لن لن لن لن لن لن لن لن لن لن لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا لنا ل", "tokens": [1829, 39648, 32239, 398, 6055, 3794, 995, 45865, 5296, 1863, 5296, 1211, 1863, 38637, 1211, 5718, 104, 3660, 1783, 30767, 16373, 3215, 5551, 25513, 27884, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296, 8315, 5296], "avg_logprob": -0.09500000105963813, "compression_ratio": 8.975903614457831, "no_speech_prob": 0.0, "words": [{"start": 432.2, "end": 432.72, "word": "يقول", "probability": 0.543212890625}, {"start": 432.72, "end": 432.94, "word": " لي", "probability": 0.255859375}, {"start": 432.94, "end": 433.46, "word": " Y", "probability": 0.49462890625}, {"start": 433.46, "end": 434.36, "word": " تساوي", "probability": 0.7383880615234375}, {"start": 434.36, "end": 436.04, "word": " لن", "probability": 0.6070556640625}, {"start": 436.04, "end": 437.62, "word": " للن", "probability": 0.739013671875}, {"start": 437.62, "end": 438.86, "word": " ثلاثة", "probability": 0.85048828125}, {"start": 438.86, "end": 439.3, "word": " X", "probability": 0.59521484375}, {"start": 439.3, "end": 440.64, "word": " زائد", "probability": 0.90625}, {"start": 440.64, "end": 441.96, "word": " أربعة", "probability": 0.75244140625}, {"start": 441.96, "end": 444.32, "word": " لن", "probability": 0.2911376953125}, {"start": 444.32, "end": 445.02, "word": " لن", "probability": 0.8955078125}, {"start": 445.02, "end": 447.86, "word": " لن", "probability": 0.675537109375}, {"start": 447.86, "end": 447.86, "word": " لن", "probability": 0.671875}, {"start": 447.86, "end": 447.86, "word": " لن", "probability": 0.779541015625}, {"start": 447.86, "end": 447.86, "word": " لن", "probability": 0.868408203125}, {"start": 447.86, "end": 447.86, "word": " لن", "probability": 0.900146484375}, {"start": 447.86, "end": 447.86, "word": " لن", "probability": 0.9091796875}, {"start": 447.86, "end": 447.86, "word": " لن", "probability": 0.9091796875}, {"start": 447.86, "end": 447.86, "word": " لن", "probability": 0.90869140625}, {"start": 447.86, "end": 447.86, "word": " لن", "probability": 0.90625}, {"start": 447.86, "end": 447.86, "word": " لنا", "probability": 0.48779296875}, {"start": 447.86, "end": 448.0, "word": " لنا", "probability": 0.889404296875}, {"start": 448.0, "end": 448.12, "word": " لنا", "probability": 0.93212890625}, {"start": 448.12, "end": 449.02, "word": " لنا", "probability": 0.956787109375}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.969482421875}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.975830078125}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.979248046875}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.9814453125}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.983154296875}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.984619140625}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.985595703125}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.986572265625}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.987060546875}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.988037109375}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.98828125}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.98876953125}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.9892578125}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.989501953125}, {"start": 449.02, "end": 449.02, "word": " لنا", "probability": 0.98974609375}, {"start": 449.02, "end": 449.06, "word": " لنا", "probability": 0.989990234375}, {"start": 449.06, "end": 449.06, "word": " لنا", "probability": 0.990234375}, {"start": 449.06, "end": 449.06, "word": " لنا", "probability": 0.990478515625}, {"start": 449.06, "end": 449.06, "word": " لنا", "probability": 0.990478515625}, {"start": 449.06, "end": 449.06, "word": " لنا", "probability": 0.99072265625}, {"start": 449.06, "end": 449.06, "word": " لنا", "probability": 0.9912109375}, {"start": 449.06, "end": 449.06, "word": " لنا", "probability": 0.9912109375}, {"start": 449.06, "end": 449.06, "word": " لنا", "probability": 0.991455078125}, {"start": 449.06, "end": 449.06, "word": " لنا", "probability": 0.991455078125}, {"start": 449.06, "end": 449.06, "word": " لنا", "probability": 0.99169921875}, {"start": 449.06, "end": 449.08, "word": " لنا", "probability": 0.99169921875}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.991943359375}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.991943359375}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.9921875}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.992431640625}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.9921875}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.992431640625}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.9921875}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.992431640625}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.992431640625}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.992431640625}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.992431640625}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.992431640625}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.992431640625}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.992431640625}, {"start": 449.08, "end": 449.08, "word": " لنا", "probability": 0.99267578125}, {"start": 449.08, "end": 449.16, "word": " لنا", "probability": 0.9921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.992431640625}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.992431640625}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.992431640625}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.992431640625}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.9921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.9921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.9921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.992431640625}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.9921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991943359375}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991943359375}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991943359375}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991943359375}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991943359375}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991943359375}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.99169921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.99169921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.99169921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.99169921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.99169921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.99169921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.9912109375}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.99169921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.9912109375}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991455078125}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.991943359375}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.99169921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.99169921875}, {"start": 449.16, "end": 449.16, "word": " لنا", "probability": 0.99169921875}, {"start": 449.16, "end": 450.48, "word": " لنا", "probability": 0.99169921875}, {"start": 450.48, "end": 450.52, "word": " لنا", "probability": 0.990966796875}, {"start": 450.52, "end": 450.52, "word": " لنا", "probability": 0.990478515625}, {"start": 450.52, "end": 450.52, "word": " ل", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 21, "seek": 48040, "start": 450.78, "end": 480.4, "text": "وإن لو كانت الـ U هي دالة قابلة للاشتقاق في X فإن مشتقة دي على دي X لإن الـ U هي عبارة عن مين؟ واحد على U دي U على دي X إذن هذا القادر الطبق على الاشتقاق لإن هذا كل اللي داخل الـ Lin هذا كله هذا بدي أعتبره بـ U", "tokens": [2407, 28814, 1863, 45164, 25961, 2655, 2423, 39184, 624, 39896, 11778, 6027, 3660, 12174, 16758, 37977, 24976, 33599, 2655, 4587, 995, 4587, 8978, 1783, 6156, 28814, 1863, 37893, 2655, 28671, 11778, 1829, 15844, 11778, 1829, 1783, 5296, 28814, 1863, 2423, 39184, 624, 39896, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 22807, 36764, 24401, 15844, 624, 11778, 1829, 624, 15844, 11778, 1829, 1783, 11933, 8848, 1863, 23758, 25062, 18513, 2288, 41950, 3555, 4587, 15844, 2423, 33599, 2655, 4587, 995, 4587, 5296, 28814, 1863, 23758, 28242, 13672, 1829, 11778, 47283, 1211, 2423, 39184, 9355, 23758, 28242, 3224, 23758, 4724, 16254, 5551, 34268, 26890, 3224, 4724, 39184, 624], "avg_logprob": -0.28419810364831166, "compression_ratio": 1.9351351351351351, "no_speech_prob": 0.0518798828125, "words": [{"start": 450.78, "end": 451.44, "word": "وإن", "probability": 0.33349609375}, {"start": 451.44, "end": 451.68, "word": " لو", "probability": 0.8720703125}, {"start": 451.68, "end": 452.34, "word": " كانت", "probability": 0.855712890625}, {"start": 452.34, "end": 452.58, "word": " الـ", "probability": 0.81103515625}, {"start": 452.58, "end": 452.76, "word": " U", "probability": 0.5703125}, {"start": 452.76, "end": 453.18, "word": " هي", "probability": 0.90185546875}, {"start": 453.18, "end": 453.68, "word": " دالة", "probability": 0.9210611979166666}, {"start": 453.68, "end": 454.2, "word": " قابلة", "probability": 0.98486328125}, {"start": 454.2, "end": 455.26, "word": " للاشتقاق", "probability": 0.8290201822916666}, {"start": 455.26, "end": 455.52, "word": " في", "probability": 0.94970703125}, {"start": 455.52, "end": 456.06, "word": " X", "probability": 0.86767578125}, {"start": 456.06, "end": 457.04, "word": " فإن", "probability": 0.9324544270833334}, {"start": 457.04, "end": 458.04, "word": " مشتقة", "probability": 0.5963541666666666}, {"start": 458.04, "end": 460.28, "word": " دي", "probability": 0.708984375}, {"start": 460.28, "end": 460.6, "word": " على", "probability": 0.80419921875}, {"start": 460.6, "end": 460.96, "word": " دي", "probability": 0.82470703125}, {"start": 460.96, "end": 461.42, "word": " X", "probability": 0.7705078125}, {"start": 461.42, "end": 462.24, "word": " لإن", "probability": 0.8680013020833334}, {"start": 462.24, "end": 462.7, "word": " الـ", "probability": 0.851318359375}, {"start": 462.7, "end": 463.0, "word": " U", "probability": 0.78857421875}, {"start": 463.0, "end": 463.9, "word": " هي", "probability": 0.568359375}, {"start": 463.9, "end": 464.22, "word": " عبارة", "probability": 0.96142578125}, {"start": 464.22, "end": 464.46, "word": " عن", "probability": 0.99609375}, {"start": 464.46, "end": 465.04, "word": " مين؟", "probability": 0.6758626302083334}, {"start": 465.04, "end": 465.72, "word": " واحد", "probability": 0.919677734375}, {"start": 465.72, "end": 466.22, "word": " على", "probability": 0.8203125}, {"start": 466.22, "end": 466.7, "word": " U", "probability": 0.927734375}, {"start": 466.7, "end": 467.82, "word": " دي", "probability": 0.659423828125}, {"start": 467.82, "end": 468.16, "word": " U", "probability": 0.85009765625}, {"start": 468.16, "end": 468.86, "word": " على", "probability": 0.8818359375}, {"start": 468.86, "end": 469.06, "word": " دي", "probability": 0.770263671875}, {"start": 469.06, "end": 469.28, "word": " X", "probability": 0.99609375}, {"start": 469.28, "end": 470.22, "word": " إذن", "probability": 0.583740234375}, {"start": 470.22, "end": 470.54, "word": " هذا", "probability": 0.69580078125}, {"start": 470.54, "end": 471.12, "word": " القادر", "probability": 0.86962890625}, {"start": 471.12, "end": 471.64, "word": " الطبق", "probability": 0.6629231770833334}, {"start": 471.64, "end": 471.94, "word": " على", "probability": 0.92919921875}, {"start": 471.94, "end": 472.76, "word": " الاشتقاق", "probability": 0.949951171875}, {"start": 472.76, "end": 473.26, "word": " لإن", "probability": 0.91796875}, {"start": 473.26, "end": 473.58, "word": " هذا", "probability": 0.701171875}, {"start": 473.58, "end": 474.76, "word": " كل", "probability": 0.81298828125}, {"start": 474.76, "end": 475.14, "word": " اللي", "probability": 0.964111328125}, {"start": 475.14, "end": 475.92, "word": " داخل", "probability": 0.98046875}, {"start": 475.92, "end": 476.26, "word": " الـ", "probability": 0.830078125}, {"start": 476.26, "end": 476.54, "word": " Lin", "probability": 0.2183837890625}, {"start": 476.54, "end": 477.08, "word": " هذا", "probability": 0.873046875}, {"start": 477.08, "end": 477.72, "word": " كله", "probability": 0.9765625}, {"start": 477.72, "end": 478.5, "word": " هذا", "probability": 0.2415771484375}, {"start": 478.5, "end": 479.22, "word": " بدي", "probability": 0.31640625}, {"start": 479.22, "end": 479.96, "word": " أعتبره", "probability": 0.89404296875}, {"start": 479.96, "end": 480.14, "word": " بـ", "probability": 0.92578125}, {"start": 480.14, "end": 480.4, "word": " U", "probability": 0.8291015625}], "temperature": 1.0}, {"id": 22, "seek": 50875, "start": 481.21, "end": 508.75, "text": "يبقى واحد على هذا المقدار في مشتقة هذا المقدار يبقى بادرسه لأن Y' يساوي واحد على لن تلاتة X زائد أربعة في مين؟ في مشتقة اللي بين القوسين هذا يبقى كدهش مشتقة واحد على تلاتة X", "tokens": [1829, 3555, 4587, 7578, 36764, 24401, 15844, 23758, 9673, 28543, 9640, 8978, 37893, 2655, 28671, 23758, 9673, 28543, 9640, 7251, 3555, 4587, 7578, 4724, 18513, 2288, 3794, 3224, 5296, 33456, 398, 6, 7251, 3794, 995, 45865, 36764, 24401, 15844, 5296, 1863, 6055, 1211, 9307, 3660, 1783, 30767, 16373, 3215, 5551, 25513, 27884, 8978, 3714, 9957, 22807, 8978, 37893, 2655, 28671, 13672, 1829, 49374, 25062, 41779, 9957, 23758, 7251, 3555, 4587, 7578, 9122, 3215, 3224, 8592, 37893, 2655, 28671, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 1783], "avg_logprob": -0.251436783664528, "compression_ratio": 1.9554140127388535, "no_speech_prob": 0.0, "words": [{"start": 481.21, "end": 481.83, "word": "يبقى", "probability": 0.8564453125}, {"start": 481.83, "end": 482.67, "word": " واحد", "probability": 0.81494140625}, {"start": 482.67, "end": 482.97, "word": " على", "probability": 0.8564453125}, {"start": 482.97, "end": 483.37, "word": " هذا", "probability": 0.955078125}, {"start": 483.37, "end": 484.39, "word": " المقدار", "probability": 0.9567057291666666}, {"start": 484.39, "end": 485.07, "word": " في", "probability": 0.88671875}, {"start": 485.07, "end": 485.99, "word": " مشتقة", "probability": 0.8033854166666666}, {"start": 485.99, "end": 486.67, "word": " هذا", "probability": 0.6572265625}, {"start": 486.67, "end": 487.59, "word": " المقدار", "probability": 0.9705403645833334}, {"start": 487.59, "end": 488.35, "word": " يبقى", "probability": 0.938232421875}, {"start": 488.35, "end": 488.95, "word": " بادرسه", "probability": 0.36590576171875}, {"start": 488.95, "end": 489.33, "word": " لأن", "probability": 0.74462890625}, {"start": 489.33, "end": 489.85, "word": " Y'", "probability": 0.399169921875}, {"start": 490.51, "end": 491.33, "word": " يساوي", "probability": 0.80340576171875}, {"start": 491.33, "end": 492.75, "word": " واحد", "probability": 0.89013671875}, {"start": 492.75, "end": 493.79, "word": " على", "probability": 0.841796875}, {"start": 493.79, "end": 494.47, "word": " لن", "probability": 0.496337890625}, {"start": 494.47, "end": 495.61, "word": " تلاتة", "probability": 0.9130859375}, {"start": 495.61, "end": 496.07, "word": " X", "probability": 0.796875}, {"start": 496.07, "end": 497.45, "word": " زائد", "probability": 0.9153645833333334}, {"start": 497.45, "end": 498.01, "word": " أربعة", "probability": 0.7083333333333334}, {"start": 498.01, "end": 498.85, "word": " في", "probability": 0.849609375}, {"start": 498.85, "end": 499.69, "word": " مين؟", "probability": 0.8645833333333334}, {"start": 499.69, "end": 500.35, "word": " في", "probability": 0.8251953125}, {"start": 500.35, "end": 501.41, "word": " مشتقة", "probability": 0.9527994791666666}, {"start": 501.41, "end": 501.99, "word": " اللي", "probability": 0.799560546875}, {"start": 501.99, "end": 502.33, "word": " بين", "probability": 0.544921875}, {"start": 502.33, "end": 503.09, "word": " القوسين", "probability": 0.7587076822916666}, {"start": 503.09, "end": 503.55, "word": " هذا", "probability": 0.84375}, {"start": 503.55, "end": 504.55, "word": " يبقى", "probability": 0.9794921875}, {"start": 504.55, "end": 504.99, "word": " كدهش", "probability": 0.71435546875}, {"start": 504.99, "end": 505.61, "word": " مشتقة", "probability": 0.9314778645833334}, {"start": 505.61, "end": 506.49, "word": " واحد", "probability": 0.864990234375}, {"start": 506.49, "end": 507.35, "word": " على", "probability": 0.87109375}, {"start": 507.35, "end": 508.35, "word": " تلاتة", "probability": 0.986572265625}, {"start": 508.35, "end": 508.75, "word": " X", "probability": 0.9873046875}], "temperature": 1.0}, {"id": 23, "seek": 53129, "start": 509.4, "end": 531.3, "text": "زائد أربعة في مشتقة مداخل الان اللي هو الجداش بتلاتة يعني اطبقت chain rule بدل المرة مرتين طبعا مرة تانية بقول انه way to say لن لن تلاتة x زائد أربعة", "tokens": [11622, 16373, 3215, 5551, 25513, 27884, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 2423, 7649, 13672, 1829, 31439, 25724, 3215, 33599, 39894, 1211, 9307, 3660, 37495, 22653, 1975, 9566, 3555, 38149, 5021, 4978, 47525, 1211, 9673, 25720, 3714, 43500, 9957, 23032, 3555, 3615, 995, 3714, 25720, 6055, 7649, 10632, 4724, 39648, 16472, 3224, 636, 281, 584, 5296, 1863, 5296, 1863, 6055, 1211, 9307, 3660, 2031, 30767, 16373, 3215, 5551, 25513, 27884], "avg_logprob": -0.3120719178082192, "compression_ratio": 1.5460122699386503, "no_speech_prob": 0.0, "words": [{"start": 509.4, "end": 510.26, "word": "زائد", "probability": 0.4908447265625}, {"start": 510.26, "end": 510.98, "word": " أربعة", "probability": 0.8333333333333334}, {"start": 510.98, "end": 511.44, "word": " في", "probability": 0.8232421875}, {"start": 511.44, "end": 512.26, "word": " مشتقة", "probability": 0.8271484375}, {"start": 512.26, "end": 512.9, "word": " مداخل", "probability": 0.9168701171875}, {"start": 512.9, "end": 513.14, "word": " الان", "probability": 0.5142822265625}, {"start": 513.14, "end": 513.22, "word": " اللي", "probability": 0.8701171875}, {"start": 513.22, "end": 513.34, "word": " هو", "probability": 0.9326171875}, {"start": 513.34, "end": 514.1, "word": " الجداش", "probability": 0.7693684895833334}, {"start": 514.1, "end": 515.72, "word": " بتلاتة", "probability": 0.92724609375}, {"start": 515.72, "end": 516.86, "word": " يعني", "probability": 0.895751953125}, {"start": 516.86, "end": 517.56, "word": " اطبقت", "probability": 0.584716796875}, {"start": 517.56, "end": 518.06, "word": " chain", "probability": 0.271728515625}, {"start": 518.06, "end": 518.62, "word": " rule", "probability": 0.91162109375}, {"start": 518.62, "end": 519.42, "word": " بدل", "probability": 0.705322265625}, {"start": 519.42, "end": 520.06, "word": " المرة", "probability": 0.98974609375}, {"start": 520.06, "end": 521.88, "word": " مرتين", "probability": 0.9811197916666666}, {"start": 521.88, "end": 523.0, "word": " طبعا", "probability": 0.78106689453125}, {"start": 523.0, "end": 524.7, "word": " مرة", "probability": 0.786376953125}, {"start": 524.7, "end": 525.0, "word": " تانية", "probability": 0.9749348958333334}, {"start": 525.0, "end": 525.4, "word": " بقول", "probability": 0.8876953125}, {"start": 525.4, "end": 526.88, "word": " انه", "probability": 0.3436279296875}, {"start": 526.88, "end": 527.08, "word": " way", "probability": 0.479248046875}, {"start": 527.08, "end": 527.28, "word": " to", "probability": 0.9794921875}, {"start": 527.28, "end": 527.64, "word": " say", "probability": 0.67431640625}, {"start": 527.64, "end": 528.48, "word": " لن", "probability": 0.380126953125}, {"start": 528.48, "end": 529.3, "word": " لن", "probability": 0.911865234375}, {"start": 529.3, "end": 530.0, "word": " تلاتة", "probability": 0.9632568359375}, {"start": 530.0, "end": 530.34, "word": " x", "probability": 0.370361328125}, {"start": 530.34, "end": 530.82, "word": " زائد", "probability": 0.92822265625}, {"start": 530.82, "end": 531.3, "word": " أربعة", "probability": 0.8946940104166666}], "temperature": 1.0}, {"id": 24, "seek": 54574, "start": 531.68, "end": 545.74, "text": "يعني بدي اخد لن تلاتة و اكتر زي اربعة بطلع لعدد بدي اخد لن هذا المقدار كمان مرة و بعدين اشتققه يبقى الاشتقاق بدي يكون للن اللي برا و اللي جوا كلها بدي اعتبرها", "tokens": [40228, 22653, 4724, 16254, 1975, 9778, 3215, 5296, 1863, 6055, 1211, 9307, 3660, 4032, 1975, 4117, 2655, 2288, 30767, 1829, 1975, 25513, 27884, 4724, 9566, 1211, 3615, 5296, 22488, 3215, 4724, 16254, 1975, 9778, 3215, 5296, 1863, 23758, 9673, 28543, 9640, 9122, 2304, 7649, 3714, 25720, 4032, 39182, 9957, 1975, 8592, 2655, 4587, 4587, 3224, 7251, 3555, 4587, 7578, 2423, 33599, 2655, 4587, 995, 4587, 4724, 16254, 7251, 30544, 24976, 1863, 13672, 1829, 4724, 23557, 4032, 13672, 1829, 10874, 14407, 28242, 11296, 4724, 16254, 1975, 34268, 26890, 11296], "avg_logprob": -0.2851123675871431, "compression_ratio": 1.8258064516129033, "no_speech_prob": 0.0, "words": [{"start": 531.68, "end": 532.16, "word": "يعني", "probability": 0.6240234375}, {"start": 532.16, "end": 532.44, "word": " بدي", "probability": 0.29541015625}, {"start": 532.44, "end": 532.84, "word": " اخد", "probability": 0.7425130208333334}, {"start": 532.84, "end": 533.14, "word": " لن", "probability": 0.73583984375}, {"start": 533.14, "end": 533.76, "word": " تلاتة", "probability": 0.67559814453125}, {"start": 533.76, "end": 533.88, "word": " و", "probability": 0.62548828125}, {"start": 533.88, "end": 534.08, "word": " اكتر", "probability": 0.8031005859375}, {"start": 534.08, "end": 534.32, "word": " زي", "probability": 0.919677734375}, {"start": 534.32, "end": 534.7, "word": " اربعة", "probability": 0.6494954427083334}, {"start": 534.7, "end": 535.18, "word": " بطلع", "probability": 0.7178955078125}, {"start": 535.18, "end": 535.72, "word": " لعدد", "probability": 0.7256673177083334}, {"start": 535.72, "end": 535.98, "word": " بدي", "probability": 0.7734375}, {"start": 535.98, "end": 536.36, "word": " اخد", "probability": 0.9443359375}, {"start": 536.36, "end": 537.1, "word": " لن", "probability": 0.9931640625}, {"start": 537.1, "end": 537.56, "word": " هذا", "probability": 0.91064453125}, {"start": 537.56, "end": 538.24, "word": " المقدار", "probability": 0.9010416666666666}, {"start": 538.24, "end": 538.82, "word": " كمان", "probability": 0.9280598958333334}, {"start": 538.82, "end": 539.32, "word": " مرة", "probability": 0.983154296875}, {"start": 539.32, "end": 539.66, "word": " و", "probability": 0.51123046875}, {"start": 539.66, "end": 540.06, "word": " بعدين", "probability": 0.8310546875}, {"start": 540.06, "end": 540.7, "word": " اشتققه", "probability": 0.6275634765625}, {"start": 540.7, "end": 541.44, "word": " يبقى", "probability": 0.8248291015625}, {"start": 541.44, "end": 542.0, "word": " الاشتقاق", "probability": 0.9354654947916666}, {"start": 542.0, "end": 542.22, "word": " بدي", "probability": 0.84228515625}, {"start": 542.22, "end": 542.44, "word": " يكون", "probability": 0.80419921875}, {"start": 542.44, "end": 542.98, "word": " للن", "probability": 0.758056640625}, {"start": 542.98, "end": 543.32, "word": " اللي", "probability": 0.96435546875}, {"start": 543.32, "end": 543.62, "word": " برا", "probability": 0.8828125}, {"start": 543.62, "end": 543.78, "word": " و", "probability": 0.7060546875}, {"start": 543.78, "end": 544.0, "word": " اللي", "probability": 0.85498046875}, {"start": 544.0, "end": 544.3, "word": " جوا", "probability": 0.848388671875}, {"start": 544.3, "end": 544.8, "word": " كلها", "probability": 0.951904296875}, {"start": 544.8, "end": 545.06, "word": " بدي", "probability": 0.916748046875}, {"start": 545.06, "end": 545.74, "word": " اعتبرها", "probability": 0.94873046875}], "temperature": 1.0}, {"id": 25, "seek": 57583, "start": 545.97, "end": 575.83, "text": "اللي هي دالة U دالة قابل الاشتقاق في X فبجي بقول ال Y' واحد على U زي ما كتبنا هناك يبقى واحد على المقدار هذا كله في DU على DX مشتقة هذا المقدار كله مشتقة LIN تلاتة X زيادة أربعة يعني واحد على تلاتة X زيادة أربعة في مشتقة تلاتة X زيادة أربعة اللي هو مابي داخل ال LIN اللي مابيقداش بتلاتة", "tokens": [6027, 20292, 39896, 11778, 6027, 3660, 624, 11778, 6027, 3660, 12174, 16758, 1211, 2423, 33599, 2655, 4587, 995, 4587, 8978, 1783, 6156, 3555, 7435, 1829, 4724, 39648, 2423, 398, 6, 36764, 24401, 15844, 624, 30767, 1829, 19446, 9122, 2655, 3555, 8315, 34105, 4117, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 9673, 28543, 9640, 23758, 28242, 3224, 8978, 28423, 15844, 48817, 37893, 2655, 28671, 23758, 9673, 28543, 9640, 28242, 3224, 37893, 2655, 28671, 19763, 6055, 1211, 9307, 3660, 1783, 30767, 1829, 18513, 3660, 5551, 25513, 27884, 37495, 22653, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 1783, 30767, 1829, 18513, 3660, 5551, 25513, 27884, 8978, 37893, 2655, 28671, 6055, 1211, 9307, 3660, 1783, 30767, 1829, 18513, 3660, 5551, 25513, 27884, 13672, 1829, 31439, 3714, 16758, 1829, 11778, 47283, 1211, 2423, 19763, 13672, 1829, 3714, 16758, 1829, 28543, 33599, 4724, 2655, 1211, 9307, 3660], "avg_logprob": -0.2504401381166888, "compression_ratio": 2.3254716981132075, "no_speech_prob": 0.10418701171875, "words": [{"start": 545.97, "end": 546.31, "word": "اللي", "probability": 0.226165771484375}, {"start": 546.31, "end": 546.51, "word": " هي", "probability": 0.56103515625}, {"start": 546.51, "end": 547.05, "word": " دالة", "probability": 0.5223795572916666}, {"start": 547.05, "end": 547.41, "word": " U", "probability": 0.50048828125}, {"start": 547.41, "end": 548.11, "word": " دالة", "probability": 0.8829752604166666}, {"start": 548.11, "end": 548.61, "word": " قابل", "probability": 0.7791341145833334}, {"start": 548.61, "end": 549.39, "word": " الاشتقاق", "probability": 0.8533528645833334}, {"start": 549.39, "end": 549.57, "word": " في", "probability": 0.8916015625}, {"start": 549.57, "end": 549.89, "word": " X", "probability": 0.88671875}, {"start": 549.89, "end": 550.83, "word": " فبجي", "probability": 0.66851806640625}, {"start": 550.83, "end": 551.15, "word": " بقول", "probability": 0.9541015625}, {"start": 551.15, "end": 551.31, "word": " ال", "probability": 0.62158203125}, {"start": 551.31, "end": 551.49, "word": " Y'", "probability": 0.12042236328125}, {"start": 551.91, "end": 553.01, "word": " واحد", "probability": 0.731689453125}, {"start": 553.01, "end": 553.39, "word": " على", "probability": 0.603515625}, {"start": 553.39, "end": 553.73, "word": " U", "probability": 0.98876953125}, {"start": 553.73, "end": 554.23, "word": " زي", "probability": 0.92578125}, {"start": 554.23, "end": 554.35, "word": " ما", "probability": 0.96240234375}, {"start": 554.35, "end": 554.81, "word": " كتبنا", "probability": 0.9931640625}, {"start": 554.81, "end": 555.27, "word": " هناك", "probability": 0.9677734375}, {"start": 555.27, "end": 556.01, "word": " يبقى", "probability": 0.960693359375}, {"start": 556.01, "end": 556.49, "word": " واحد", "probability": 0.984619140625}, {"start": 556.49, "end": 556.83, "word": " على", "probability": 0.8935546875}, {"start": 556.83, "end": 557.75, "word": " المقدار", "probability": 0.9773763020833334}, {"start": 557.75, "end": 558.25, "word": " هذا", "probability": 0.74169921875}, {"start": 558.25, "end": 559.01, "word": " كله", "probability": 0.991455078125}, {"start": 559.01, "end": 559.51, "word": " في", "probability": 0.8828125}, {"start": 559.51, "end": 559.93, "word": " DU", "probability": 0.393310546875}, {"start": 559.93, "end": 560.27, "word": " على", "probability": 0.80224609375}, {"start": 560.27, "end": 560.77, "word": " DX", "probability": 0.99609375}, {"start": 560.77, "end": 561.53, "word": " مشتقة", "probability": 0.8662109375}, {"start": 561.53, "end": 561.91, "word": " هذا", "probability": 0.94384765625}, {"start": 561.91, "end": 562.51, "word": " المقدار", "probability": 0.9820963541666666}, {"start": 562.51, "end": 563.01, "word": " كله", "probability": 0.984619140625}, {"start": 563.01, "end": 564.07, "word": " مشتقة", "probability": 0.96826171875}, {"start": 564.07, "end": 564.43, "word": " LIN", "probability": 0.1231689453125}, {"start": 564.43, "end": 565.05, "word": " تلاتة", "probability": 0.83404541015625}, {"start": 565.05, "end": 565.25, "word": " X", "probability": 0.94189453125}, {"start": 565.25, "end": 565.65, "word": " زيادة", "probability": 0.664794921875}, {"start": 565.65, "end": 565.97, "word": " أربعة", "probability": 0.8230794270833334}, {"start": 565.97, "end": 566.27, "word": " يعني", "probability": 0.8876953125}, {"start": 566.27, "end": 567.13, "word": " واحد", "probability": 0.97119140625}, {"start": 567.13, "end": 567.75, "word": " على", "probability": 0.822265625}, {"start": 567.75, "end": 568.31, "word": " تلاتة", "probability": 0.984375}, {"start": 568.31, "end": 568.55, "word": " X", "probability": 0.97119140625}, {"start": 568.55, "end": 568.83, "word": " زيادة", "probability": 0.9638671875}, {"start": 568.83, "end": 569.13, "word": " أربعة", "probability": 0.92919921875}, {"start": 569.13, "end": 569.35, "word": " في", "probability": 0.90087890625}, {"start": 569.35, "end": 570.25, "word": " مشتقة", "probability": 0.8880208333333334}, {"start": 570.25, "end": 571.17, "word": " تلاتة", "probability": 0.984375}, {"start": 571.17, "end": 571.37, "word": " X", "probability": 0.98974609375}, {"start": 571.37, "end": 571.63, "word": " زيادة", "probability": 0.9725341796875}, {"start": 571.63, "end": 571.99, "word": " أربعة", "probability": 0.9654947916666666}, {"start": 571.99, "end": 572.17, "word": " اللي", "probability": 0.983642578125}, {"start": 572.17, "end": 572.27, "word": " هو", "probability": 0.5224609375}, {"start": 572.27, "end": 572.55, "word": " مابي", "probability": 0.668212890625}, {"start": 572.55, "end": 572.97, "word": " داخل", "probability": 0.9510091145833334}, {"start": 572.97, "end": 573.13, "word": " ال", "probability": 0.67529296875}, {"start": 573.13, "end": 573.39, "word": " LIN", "probability": 0.55859375}, {"start": 573.39, "end": 573.91, "word": " اللي", "probability": 0.782958984375}, {"start": 573.91, "end": 574.61, "word": " مابيقداش", "probability": 0.6034423828125}, {"start": 574.61, "end": 575.83, "word": " بتلاتة", "probability": 0.8046875}], "temperature": 1.0}, {"id": 26, "seek": 60609, "start": 576.33, "end": 606.09, "text": "يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يبقى هنا exercise يب", "tokens": [1829, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555, 4587, 7578, 34105, 5380, 7251, 3555], "avg_logprob": -0.08652777777777777, "compression_ratio": 21.6046511627907, "no_speech_prob": 0.0, "words": [{"start": 576.33, "end": 577.11, "word": "يبقى", "probability": 0.8582763671875}, {"start": 577.11, "end": 577.75, "word": " هنا", "probability": 0.37646484375}, {"start": 577.75, "end": 578.35, "word": " exercise", "probability": 0.33935546875}, {"start": 578.35, "end": 580.85, "word": " يبقى", "probability": 0.79376220703125}, {"start": 580.85, "end": 581.17, "word": " هنا", "probability": 0.86181640625}, {"start": 581.17, "end": 582.47, "word": " exercise", "probability": 0.396484375}, {"start": 582.47, "end": 591.19, "word": " يبقى", "probability": 0.84930419921875}, {"start": 591.19, "end": 591.19, "word": " هنا", "probability": 0.9560546875}, {"start": 591.19, "end": 591.19, "word": " exercise", "probability": 0.5908203125}, {"start": 591.19, "end": 591.19, "word": " يبقى", "probability": 0.898681640625}, {"start": 591.19, "end": 591.19, "word": " هنا", "probability": 0.9892578125}, {"start": 591.19, "end": 591.19, "word": " exercise", "probability": 0.8701171875}, {"start": 591.19, "end": 591.19, "word": " يبقى", "probability": 0.95751953125}, {"start": 591.19, "end": 591.19, "word": " هنا", "probability": 0.994140625}, {"start": 591.19, "end": 591.19, "word": " exercise", "probability": 0.87548828125}, {"start": 591.19, "end": 591.19, "word": " يبقى", "probability": 0.9776611328125}, {"start": 591.19, "end": 591.19, "word": " هنا", "probability": 0.9951171875}, {"start": 591.19, "end": 591.19, "word": " exercise", "probability": 0.841796875}, {"start": 591.19, "end": 591.19, "word": " يبقى", "probability": 0.979248046875}, {"start": 591.19, "end": 591.19, "word": " هنا", "probability": 0.99560546875}, {"start": 591.19, "end": 591.19, "word": " exercise", "probability": 0.79296875}, {"start": 591.19, "end": 591.19, "word": " يبقى", "probability": 0.976806640625}, {"start": 591.19, "end": 591.19, "word": " هنا", "probability": 0.99560546875}, {"start": 591.19, "end": 591.19, "word": " exercise", "probability": 0.75}, {"start": 591.19, "end": 591.19, "word": " يبقى", "probability": 0.9775390625}, {"start": 591.19, "end": 591.19, "word": " هنا", "probability": 0.99609375}, {"start": 591.19, "end": 591.19, "word": " exercise", "probability": 0.7939453125}, {"start": 591.19, "end": 591.19, "word": " يبقى", "probability": 0.9805908203125}, {"start": 591.19, "end": 591.19, "word": " هنا", "probability": 0.99609375}, {"start": 591.19, "end": 591.19, "word": " exercise", "probability": 0.84619140625}, {"start": 591.19, "end": 591.27, "word": " يبقى", "probability": 0.9832763671875}, {"start": 591.27, "end": 591.27, "word": " هنا", "probability": 0.99609375}, {"start": 591.27, "end": 591.27, "word": " exercise", "probability": 0.89306640625}, {"start": 591.27, "end": 591.61, "word": " يبقى", "probability": 0.9859619140625}, {"start": 591.61, "end": 591.73, "word": " هنا", "probability": 0.99609375}, {"start": 591.73, "end": 591.73, "word": " exercise", "probability": 0.912109375}, {"start": 591.73, "end": 593.41, "word": " يبقى", "probability": 0.9876708984375}, {"start": 593.41, "end": 593.59, "word": " هنا", "probability": 0.99658203125}, {"start": 593.59, "end": 593.59, "word": " exercise", "probability": 0.92138671875}, {"start": 593.59, "end": 593.59, "word": " يبقى", "probability": 0.9886474609375}, {"start": 593.59, "end": 593.59, "word": " هنا", "probability": 0.99658203125}, {"start": 593.59, "end": 594.13, "word": " exercise", "probability": 0.927734375}, {"start": 594.13, "end": 594.29, "word": " يبقى", "probability": 0.989013671875}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.99658203125}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.92822265625}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.9893798828125}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.99609375}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.92919921875}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.9893798828125}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.99609375}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.92626953125}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.989013671875}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.99560546875}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.92431640625}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.98876953125}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.99560546875}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.9208984375}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.988525390625}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.99462890625}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.91162109375}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.98779296875}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.994140625}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.91162109375}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.986572265625}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.99365234375}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.9033203125}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.9854736328125}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.9921875}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.89990234375}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.9844970703125}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.9912109375}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.89697265625}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.9830322265625}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.98974609375}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.89404296875}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.9814453125}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.98779296875}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.8857421875}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.9796142578125}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.98486328125}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.8720703125}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.9765625}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.9814453125}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.857421875}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.9735107421875}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.97607421875}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.84765625}, {"start": 594.29, "end": 594.29, "word": " يبقى", "probability": 0.969970703125}, {"start": 594.29, "end": 594.29, "word": " هنا", "probability": 0.96826171875}, {"start": 594.29, "end": 594.29, "word": " exercise", "probability": 0.81298828125}, {"start": 594.29, "end": 594.33, "word": " يبقى", "probability": 0.965087890625}, {"start": 594.33, "end": 594.33, "word": " هنا", "probability": 0.9560546875}, {"start": 594.33, "end": 594.33, "word": " exercise", "probability": 0.7744140625}, {"start": 594.33, "end": 594.37, "word": " يبقى", "probability": 0.9576416015625}, {"start": 594.37, "end": 594.37, "word": " هنا", "probability": 0.939453125}, {"start": 594.37, "end": 594.37, "word": " exercise", "probability": 0.72021484375}, {"start": 594.37, "end": 594.37, "word": " يبقى", "probability": 0.9521484375}, {"start": 594.37, "end": 594.37, "word": " هنا", "probability": 0.9140625}, {"start": 594.37, "end": 594.37, "word": " exercise", "probability": 0.66357421875}, {"start": 594.37, "end": 594.37, "word": " يبقى", "probability": 0.9437255859375}, {"start": 594.37, "end": 594.37, "word": " هنا", "probability": 0.8876953125}, {"start": 594.37, "end": 594.37, "word": " exercise", "probability": 0.62744140625}, {"start": 594.37, "end": 594.37, "word": " يبقى", "probability": 0.9371337890625}, {"start": 594.37, "end": 594.37, "word": " هنا", "probability": 0.85400390625}, {"start": 594.37, "end": 594.37, "word": " exercise", "probability": 0.5791015625}, {"start": 594.37, "end": 594.41, "word": " يبقى", "probability": 0.9285888671875}, {"start": 594.41, "end": 594.41, "word": " هنا", "probability": 0.82373046875}, {"start": 594.41, "end": 594.41, "word": " exercise", "probability": 0.53759765625}, {"start": 594.41, "end": 595.13, "word": " يبقى", "probability": 0.9183349609375}, {"start": 595.13, "end": 600.67, "word": " هنا", "probability": 0.77783203125}, {"start": 600.67, "end": 606.05, "word": " exercise", "probability": 0.477294921875}, {"start": 606.05, "end": 606.09, "word": " يب", "probability": 0.81005859375}], "temperature": 1.0}, {"id": 27, "seek": 62727, "start": 607.23, "end": 627.27, "text": "يبقى اللي جوا هو هذا اللي بين قصيرين كله باعتبره يبقى واحد على هذا المقدار فيه مشتقته ومشتقته هو السؤال اللي من فوق صح ولا لا؟ يبقى very easy صار طيب، هذا اللي هو السؤال الرقم تلاتة", "tokens": [1829, 3555, 4587, 7578, 13672, 1829, 10874, 14407, 31439, 23758, 13672, 1829, 49374, 12174, 9381, 13546, 9957, 28242, 3224, 4724, 995, 34268, 26890, 3224, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 23758, 9673, 28543, 9640, 8978, 3224, 37893, 2655, 38149, 3224, 4032, 2304, 8592, 2655, 38149, 3224, 31439, 21136, 33604, 6027, 13672, 1829, 9154, 6156, 30543, 20328, 5016, 49429, 20193, 22807, 7251, 3555, 4587, 7578, 588, 1858, 20328, 9640, 23032, 1829, 3555, 12399, 23758, 13672, 1829, 31439, 21136, 33604, 6027, 34892, 4587, 2304, 6055, 1211, 9307, 3660], "avg_logprob": -0.25745737654241646, "compression_ratio": 1.8381502890173411, "no_speech_prob": 0.0, "words": [{"start": 607.23, "end": 607.77, "word": "يبقى", "probability": 0.88720703125}, {"start": 607.77, "end": 607.95, "word": " اللي", "probability": 0.56903076171875}, {"start": 607.95, "end": 608.29, "word": " جوا", "probability": 0.781005859375}, {"start": 608.29, "end": 608.51, "word": " هو", "probability": 0.5224609375}, {"start": 608.51, "end": 608.73, "word": " هذا", "probability": 0.59619140625}, {"start": 608.73, "end": 608.91, "word": " اللي", "probability": 0.60137939453125}, {"start": 608.91, "end": 609.19, "word": " بين", "probability": 0.92919921875}, {"start": 609.19, "end": 609.67, "word": " قصيرين", "probability": 0.56317138671875}, {"start": 609.67, "end": 610.01, "word": " كله", "probability": 0.836181640625}, {"start": 610.01, "end": 611.13, "word": " باعتبره", "probability": 0.848046875}, {"start": 611.13, "end": 612.71, "word": " يبقى", "probability": 0.795166015625}, {"start": 612.71, "end": 613.17, "word": " واحد", "probability": 0.990234375}, {"start": 613.17, "end": 613.45, "word": " على", "probability": 0.7822265625}, {"start": 613.45, "end": 613.79, "word": " هذا", "probability": 0.97119140625}, {"start": 613.79, "end": 614.53, "word": " المقدار", "probability": 0.82470703125}, {"start": 614.53, "end": 614.85, "word": " فيه", "probability": 0.89013671875}, {"start": 614.85, "end": 615.51, "word": " مشتقته", "probability": 0.9437255859375}, {"start": 615.51, "end": 616.21, "word": " ومشتقته", "probability": 0.8245849609375}, {"start": 616.21, "end": 616.39, "word": " هو", "probability": 0.666015625}, {"start": 616.39, "end": 616.63, "word": " السؤال", "probability": 0.9817708333333334}, {"start": 616.63, "end": 616.77, "word": " اللي", "probability": 0.9638671875}, {"start": 616.77, "end": 616.95, "word": " من", "probability": 0.6416015625}, {"start": 616.95, "end": 617.53, "word": " فوق", "probability": 0.633544921875}, {"start": 617.53, "end": 618.23, "word": " صح", "probability": 0.80517578125}, {"start": 618.23, "end": 618.43, "word": " ولا", "probability": 0.947265625}, {"start": 618.43, "end": 619.19, "word": " لا؟", "probability": 0.7841796875}, {"start": 619.19, "end": 619.63, "word": " يبقى", "probability": 0.962890625}, {"start": 619.63, "end": 619.91, "word": " very", "probability": 0.7158203125}, {"start": 619.91, "end": 620.45, "word": " easy", "probability": 0.9755859375}, {"start": 620.45, "end": 621.03, "word": " صار", "probability": 0.83740234375}, {"start": 621.03, "end": 622.91, "word": " طيب،", "probability": 0.66961669921875}, {"start": 622.91, "end": 623.43, "word": " هذا", "probability": 0.4306640625}, {"start": 623.43, "end": 625.23, "word": " اللي", "probability": 0.7156982421875}, {"start": 625.23, "end": 625.39, "word": " هو", "probability": 0.98779296875}, {"start": 625.39, "end": 625.85, "word": " السؤال", "probability": 0.990234375}, {"start": 625.85, "end": 626.45, "word": " الرقم", "probability": 0.8250325520833334}, {"start": 626.45, "end": 627.27, "word": " تلاتة", "probability": 0.9049072265625}], "temperature": 1.0}, {"id": 28, "seek": 66572, "start": 651.72, "end": 665.72, "text": "سؤال رقم اربعة سؤال رقم اربعة بدنا y تساوي اللي هو ال", "tokens": [3794, 33604, 6027, 12602, 4587, 2304, 1975, 25513, 27884, 8608, 33604, 6027, 12602, 4587, 2304, 1975, 25513, 27884, 47525, 8315, 288, 6055, 3794, 995, 45865, 13672, 1829, 31439, 2423], "avg_logprob": -0.2796874870856603, "compression_ratio": 1.3623188405797102, "no_speech_prob": 0.0, "words": [{"start": 651.72, "end": 653.12, "word": "سؤال", "probability": 0.9344075520833334}, {"start": 653.12, "end": 653.62, "word": " رقم", "probability": 0.9482421875}, {"start": 653.62, "end": 657.84, "word": " اربعة", "probability": 0.693359375}, {"start": 657.84, "end": 658.9, "word": " سؤال", "probability": 0.7408040364583334}, {"start": 658.9, "end": 659.34, "word": " رقم", "probability": 0.9840494791666666}, {"start": 659.34, "end": 660.1, "word": " اربعة", "probability": 0.9197591145833334}, {"start": 660.1, "end": 661.88, "word": " بدنا", "probability": 0.5665283203125}, {"start": 661.88, "end": 662.34, "word": " y", "probability": 0.35791015625}, {"start": 662.34, "end": 663.14, "word": " تساوي", "probability": 0.8720703125}, {"start": 663.14, "end": 665.28, "word": " اللي", "probability": 0.85986328125}, {"start": 665.28, "end": 665.46, "word": " هو", "probability": 0.9775390625}, {"start": 665.46, "end": 665.72, "word": " ال", "probability": 0.64208984375}], "temperature": 1.0}, {"id": 29, "seek": 67707, "start": 667.25, "end": 677.07, "text": "جهز الجذر التربية إلى X زائد واحد مقسوما على تلاتة زائد X تربية", "tokens": [7435, 3224, 11622, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 1783, 30767, 16373, 3215, 36764, 24401, 3714, 4587, 3794, 2407, 15042, 15844, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 1783, 6055, 25513, 10632], "avg_logprob": -0.25206801295280457, "compression_ratio": 1.302325581395349, "no_speech_prob": 0.0, "words": [{"start": 667.25, "end": 668.17, "word": "جهز", "probability": 0.6123046875}, {"start": 668.17, "end": 669.45, "word": " الجذر", "probability": 0.76318359375}, {"start": 669.45, "end": 670.15, "word": " التربية", "probability": 0.7588704427083334}, {"start": 670.15, "end": 670.45, "word": " إلى", "probability": 0.77392578125}, {"start": 670.45, "end": 670.93, "word": " X", "probability": 0.335693359375}, {"start": 670.93, "end": 671.93, "word": " زائد", "probability": 0.81103515625}, {"start": 671.93, "end": 672.61, "word": " واحد", "probability": 0.88720703125}, {"start": 672.61, "end": 673.91, "word": " مقسوما", "probability": 0.790625}, {"start": 673.91, "end": 674.35, "word": " على", "probability": 0.88134765625}, {"start": 674.35, "end": 675.37, "word": " تلاتة", "probability": 0.8770751953125}, {"start": 675.37, "end": 676.19, "word": " زائد", "probability": 0.9523111979166666}, {"start": 676.19, "end": 676.53, "word": " X", "probability": 0.97265625}, {"start": 676.53, "end": 677.07, "word": " تربية", "probability": 0.7630208333333334}], "temperature": 1.0}, {"id": 30, "seek": 69877, "start": 681.77, "end": 698.77, "text": "يبقى واحد على اللي داخل الان فيه مشتقة مداخل الان ومداخل الان خارج قسم الدالتين المقام في مشتقة البص ناقص البص في مشتقة المقام على مربع المقام الأصل والله هذه كل كعجل شكل، مظبوط؟", "tokens": [1829, 3555, 4587, 7578, 36764, 24401, 15844, 13672, 1829, 11778, 47283, 1211, 2423, 7649, 8978, 3224, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 2423, 7649, 4032, 2304, 3215, 47283, 1211, 2423, 7649, 16490, 9640, 7435, 12174, 38251, 32748, 6027, 2655, 9957, 9673, 4587, 10943, 8978, 37893, 2655, 28671, 29739, 9381, 8717, 995, 4587, 9381, 29739, 9381, 8978, 37893, 2655, 28671, 9673, 4587, 10943, 15844, 3714, 25513, 3615, 9673, 4587, 10943, 16247, 36520, 16070, 43761, 29538, 28242, 9122, 3615, 7435, 1211, 13412, 28820, 12399, 3714, 19913, 3555, 2407, 9566, 22807], "avg_logprob": -0.187152784731653, "compression_ratio": 1.9938271604938271, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 681.77, "end": 682.27, "word": "يبقى", "probability": 0.8580322265625}, {"start": 682.27, "end": 682.81, "word": " واحد", "probability": 0.939697265625}, {"start": 682.81, "end": 683.25, "word": " على", "probability": 0.5576171875}, {"start": 683.25, "end": 683.45, "word": " اللي", "probability": 0.901123046875}, {"start": 683.45, "end": 683.87, "word": " داخل", "probability": 0.9781901041666666}, {"start": 683.87, "end": 684.19, "word": " الان", "probability": 0.71923828125}, {"start": 684.19, "end": 684.85, "word": " فيه", "probability": 0.772216796875}, {"start": 684.85, "end": 685.51, "word": " مشتقة", "probability": 0.9054361979166666}, {"start": 685.51, "end": 686.13, "word": " مداخل", "probability": 0.950927734375}, {"start": 686.13, "end": 686.41, "word": " الان", "probability": 0.895263671875}, {"start": 686.41, "end": 687.45, "word": " ومداخل", "probability": 0.92119140625}, {"start": 687.45, "end": 687.71, "word": " الان", "probability": 0.959716796875}, {"start": 687.71, "end": 688.21, "word": " خارج", "probability": 0.98828125}, {"start": 688.21, "end": 688.61, "word": " قسم", "probability": 0.989990234375}, {"start": 688.61, "end": 689.53, "word": " الدالتين", "probability": 0.9510498046875}, {"start": 689.53, "end": 690.59, "word": " المقام", "probability": 0.9283854166666666}, {"start": 690.59, "end": 690.75, "word": " في", "probability": 0.95166015625}, {"start": 690.75, "end": 691.33, "word": " مشتقة", "probability": 0.9547526041666666}, {"start": 691.33, "end": 691.73, "word": " البص", "probability": 0.709228515625}, {"start": 691.73, "end": 692.13, "word": " ناقص", "probability": 0.72900390625}, {"start": 692.13, "end": 692.43, "word": " البص", "probability": 0.9248046875}, {"start": 692.43, "end": 692.53, "word": " في", "probability": 0.89990234375}, {"start": 692.53, "end": 692.93, "word": " مشتقة", "probability": 0.9708658854166666}, {"start": 692.93, "end": 693.39, "word": " المقام", "probability": 0.9925130208333334}, {"start": 693.39, "end": 693.59, "word": " على", "probability": 0.8759765625}, {"start": 693.59, "end": 694.01, "word": " مربع", "probability": 0.9762369791666666}, {"start": 694.01, "end": 694.71, "word": " المقام", "probability": 0.9964192708333334}, {"start": 694.71, "end": 695.77, "word": " الأصل", "probability": 0.6065673828125}, {"start": 695.77, "end": 696.05, "word": " والله", "probability": 0.7254638671875}, {"start": 696.05, "end": 696.29, "word": " هذه", "probability": 0.2371826171875}, {"start": 696.29, "end": 696.55, "word": " كل", "probability": 0.572265625}, {"start": 696.55, "end": 697.03, "word": " كعجل", "probability": 0.73309326171875}, {"start": 697.03, "end": 698.01, "word": " شكل،", "probability": 0.5845540364583334}, {"start": 698.01, "end": 698.77, "word": " مظبوط؟", "probability": 0.8472086588541666}], "temperature": 1.0}, {"id": 31, "seek": 72568, "start": 699.28, "end": 725.68, "text": "لكن احنا ممكن نلطف شكل المسألة ثم نقوم بعملية الاشتغال ده لطف المسألة كيف؟ من الخواص هذا لن خارج مصر من المقدارين بقول لن الأول ناقص لن التاني يعني لن البص ناقص لن المقام يبقى لن الجذر التربية إلى X زائد واحد ناقص لن تلاتة زائد X تربية", "tokens": [1211, 19452, 1975, 5016, 8315, 3714, 43020, 8717, 1211, 9566, 5172, 13412, 28820, 9673, 3794, 10721, 37977, 38637, 2304, 8717, 4587, 20498, 4724, 25957, 1211, 10632, 2423, 33599, 2655, 17082, 6027, 11778, 3224, 5296, 9566, 5172, 9673, 3794, 10721, 37977, 9122, 33911, 22807, 9154, 33962, 14407, 9381, 23758, 5296, 1863, 16490, 9640, 7435, 3714, 9381, 2288, 9154, 9673, 28543, 9640, 9957, 4724, 39648, 5296, 1863, 16247, 12610, 8717, 995, 4587, 9381, 5296, 1863, 16712, 7649, 1829, 37495, 22653, 5296, 1863, 29739, 9381, 8717, 995, 4587, 9381, 5296, 1863, 9673, 4587, 10943, 7251, 3555, 4587, 7578, 5296, 1863, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 1783, 30767, 16373, 3215, 36764, 24401, 8717, 995, 4587, 9381, 5296, 1863, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 1783, 6055, 25513, 10632], "avg_logprob": -0.17419433419127017, "compression_ratio": 2.0047619047619047, "no_speech_prob": 0.0, "words": [{"start": 699.28, "end": 700.0, "word": "لكن", "probability": 0.7039794921875}, {"start": 700.0, "end": 700.4, "word": " احنا", "probability": 0.7679850260416666}, {"start": 700.4, "end": 700.8, "word": " ممكن", "probability": 0.9755859375}, {"start": 700.8, "end": 701.5, "word": " نلطف", "probability": 0.8914794921875}, {"start": 701.5, "end": 702.02, "word": " شكل", "probability": 0.97998046875}, {"start": 702.02, "end": 702.7, "word": " المسألة", "probability": 0.821533203125}, {"start": 702.7, "end": 703.1, "word": " ثم", "probability": 0.9267578125}, {"start": 703.1, "end": 703.78, "word": " نقوم", "probability": 0.9847005208333334}, {"start": 703.78, "end": 704.94, "word": " بعملية", "probability": 0.912841796875}, {"start": 704.94, "end": 705.6, "word": " الاشتغال", "probability": 0.829296875}, {"start": 705.6, "end": 706.18, "word": " ده", "probability": 0.822998046875}, {"start": 706.18, "end": 706.46, "word": " لطف", "probability": 0.97314453125}, {"start": 706.46, "end": 706.9, "word": " المسألة", "probability": 0.960205078125}, {"start": 706.9, "end": 707.98, "word": " كيف؟", "probability": 0.8990885416666666}, {"start": 707.98, "end": 708.18, "word": " من", "probability": 0.96337890625}, {"start": 708.18, "end": 708.92, "word": " الخواص", "probability": 0.7765299479166666}, {"start": 708.92, "end": 709.26, "word": " هذا", "probability": 0.375732421875}, {"start": 709.26, "end": 709.58, "word": " لن", "probability": 0.571533203125}, {"start": 709.58, "end": 710.04, "word": " خارج", "probability": 0.9734700520833334}, {"start": 710.04, "end": 710.3, "word": " مصر", "probability": 0.5760904947916666}, {"start": 710.3, "end": 710.44, "word": " من", "probability": 0.2509765625}, {"start": 710.44, "end": 711.2, "word": " المقدارين", "probability": 0.81109619140625}, {"start": 711.2, "end": 711.88, "word": " بقول", "probability": 0.8369140625}, {"start": 711.88, "end": 712.18, "word": " لن", "probability": 0.96484375}, {"start": 712.18, "end": 712.82, "word": " الأول", "probability": 0.91455078125}, {"start": 712.82, "end": 713.68, "word": " ناقص", "probability": 0.9237060546875}, {"start": 713.68, "end": 714.02, "word": " لن", "probability": 0.958984375}, {"start": 714.02, "end": 714.86, "word": " التاني", "probability": 0.88134765625}, {"start": 714.86, "end": 714.98, "word": " يعني", "probability": 0.692138671875}, {"start": 714.98, "end": 715.26, "word": " لن", "probability": 0.945068359375}, {"start": 715.26, "end": 715.58, "word": " البص", "probability": 0.774169921875}, {"start": 715.58, "end": 715.96, "word": " ناقص", "probability": 0.9404296875}, {"start": 715.96, "end": 716.18, "word": " لن", "probability": 0.904541015625}, {"start": 716.18, "end": 717.0, "word": " المقام", "probability": 0.9928385416666666}, {"start": 717.0, "end": 717.8, "word": " يبقى", "probability": 0.8929443359375}, {"start": 717.8, "end": 718.34, "word": " لن", "probability": 0.96630859375}, {"start": 718.34, "end": 718.94, "word": " الجذر", "probability": 0.7081705729166666}, {"start": 718.94, "end": 719.68, "word": " التربية", "probability": 0.8224283854166666}, {"start": 719.68, "end": 720.02, "word": " إلى", "probability": 0.81787109375}, {"start": 720.02, "end": 720.38, "word": " X", "probability": 0.40478515625}, {"start": 720.38, "end": 721.02, "word": " زائد", "probability": 0.8489583333333334}, {"start": 721.02, "end": 721.64, "word": " واحد", "probability": 0.912109375}, {"start": 721.64, "end": 722.66, "word": " ناقص", "probability": 0.9879150390625}, {"start": 722.66, "end": 723.16, "word": " لن", "probability": 0.97216796875}, {"start": 723.16, "end": 723.98, "word": " تلاتة", "probability": 0.942138671875}, {"start": 723.98, "end": 724.7, "word": " زائد", "probability": 0.9723307291666666}, {"start": 724.7, "end": 725.1, "word": " X", "probability": 0.99072265625}, {"start": 725.1, "end": 725.68, "word": " تربية", "probability": 0.8243815104166666}], "temperature": 1.0}, {"id": 32, "seek": 75087, "start": 726.55, "end": 750.87, "text": "يبقى اصبحت عندي Y تساوي الان لن الجدر التربية ل X زائد واحد يعني X زائد واحد قوس نص من خواف اللن النص بطلع برا اللن يبقى بصير نص لن X زائد واحد وهذا بصير لن تلاتة زائد لن X تربية مظبوط غير", "tokens": [1829, 3555, 4587, 7578, 1975, 9381, 3555, 33753, 18871, 16254, 398, 6055, 3794, 995, 45865, 2423, 7649, 5296, 1863, 25724, 3215, 2288, 16712, 25513, 10632, 5296, 1783, 30767, 16373, 3215, 36764, 24401, 37495, 22653, 1783, 30767, 16373, 3215, 36764, 24401, 12174, 41779, 8717, 9381, 9154, 16490, 14407, 5172, 13672, 1863, 28239, 9381, 4724, 9566, 1211, 3615, 4724, 23557, 13672, 1863, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 8717, 9381, 5296, 1863, 1783, 30767, 16373, 3215, 36764, 24401, 37037, 15730, 4724, 9381, 13546, 5296, 1863, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 5296, 1863, 1783, 6055, 25513, 10632, 3714, 19913, 3555, 2407, 9566, 32771, 13546], "avg_logprob": -0.23690476531074162, "compression_ratio": 1.9819277108433735, "no_speech_prob": 0.0, "words": [{"start": 726.55, "end": 726.95, "word": "يبقى", "probability": 0.59417724609375}, {"start": 726.95, "end": 727.65, "word": " اصبحت", "probability": 0.6556396484375}, {"start": 727.65, "end": 728.07, "word": " عندي", "probability": 0.76904296875}, {"start": 728.07, "end": 728.61, "word": " Y", "probability": 0.51953125}, {"start": 728.61, "end": 729.37, "word": " تساوي", "probability": 0.8377685546875}, {"start": 729.37, "end": 730.51, "word": " الان", "probability": 0.51611328125}, {"start": 730.51, "end": 730.95, "word": " لن", "probability": 0.72900390625}, {"start": 730.95, "end": 731.77, "word": " الجدر", "probability": 0.8736979166666666}, {"start": 731.77, "end": 732.31, "word": " التربية", "probability": 0.7535807291666666}, {"start": 732.31, "end": 732.49, "word": " ل", "probability": 0.46533203125}, {"start": 732.49, "end": 732.75, "word": " X", "probability": 0.67822265625}, {"start": 732.75, "end": 732.99, "word": " زائد", "probability": 0.7740885416666666}, {"start": 732.99, "end": 733.17, "word": " واحد", "probability": 0.947021484375}, {"start": 733.17, "end": 733.37, "word": " يعني", "probability": 0.767822265625}, {"start": 733.37, "end": 733.67, "word": " X", "probability": 0.947265625}, {"start": 733.67, "end": 733.97, "word": " زائد", "probability": 0.9358723958333334}, {"start": 733.97, "end": 734.23, "word": " واحد", "probability": 0.984375}, {"start": 734.23, "end": 734.81, "word": " قوس", "probability": 0.385986328125}, {"start": 734.81, "end": 736.01, "word": " نص", "probability": 0.96923828125}, {"start": 736.01, "end": 736.29, "word": " من", "probability": 0.73974609375}, {"start": 736.29, "end": 736.91, "word": " خواف", "probability": 0.7853190104166666}, {"start": 736.91, "end": 737.27, "word": " اللن", "probability": 0.5333251953125}, {"start": 737.27, "end": 737.79, "word": " النص", "probability": 0.88134765625}, {"start": 737.79, "end": 738.75, "word": " بطلع", "probability": 0.8037109375}, {"start": 738.75, "end": 739.15, "word": " برا", "probability": 0.7060546875}, {"start": 739.15, "end": 739.61, "word": " اللن", "probability": 0.759765625}, {"start": 739.61, "end": 740.29, "word": " يبقى", "probability": 0.921875}, {"start": 740.29, "end": 740.81, "word": " بصير", "probability": 0.9099934895833334}, {"start": 740.81, "end": 741.65, "word": " نص", "probability": 0.950439453125}, {"start": 741.65, "end": 742.79, "word": " لن", "probability": 0.92919921875}, {"start": 742.79, "end": 743.57, "word": " X", "probability": 0.9833984375}, {"start": 743.57, "end": 744.65, "word": " زائد", "probability": 0.9832356770833334}, {"start": 744.65, "end": 745.33, "word": " واحد", "probability": 0.989990234375}, {"start": 745.33, "end": 746.37, "word": " وهذا", "probability": 0.841796875}, {"start": 746.37, "end": 747.21, "word": " بصير", "probability": 0.9558919270833334}, {"start": 747.21, "end": 747.61, "word": " لن", "probability": 0.95263671875}, {"start": 747.61, "end": 748.41, "word": " تلاتة", "probability": 0.90966796875}, {"start": 748.41, "end": 748.93, "word": " زائد", "probability": 0.9820963541666666}, {"start": 748.93, "end": 749.31, "word": " لن", "probability": 0.96728515625}, {"start": 749.31, "end": 749.61, "word": " X", "probability": 0.9892578125}, {"start": 749.61, "end": 750.11, "word": " تربية", "probability": 0.9269205729166666}, {"start": 750.11, "end": 750.59, "word": " مظبوط", "probability": 0.827197265625}, {"start": 750.59, "end": 750.87, "word": " غير", "probability": 0.7071533203125}], "temperature": 1.0}, {"id": 33, "seek": 77082, "start": 752.66, "end": 770.82, "text": "أي و يرجع إياك واحد يعمل الشغل هذي اللي لا بتدخل على ناقص ولا بتدخل على زايد، بتدخل على حاصل الضرب و خارج القسمة فقط، لا غير، يبقى بناء عليها دي ماجدرش أعمل فيها ولا حاجة فبنزلها كما هي", "tokens": [10721, 1829, 4032, 7251, 47341, 3615, 11933, 25528, 4117, 36764, 24401, 7251, 25957, 1211, 25124, 17082, 1211, 8032, 8848, 1829, 13672, 1829, 20193, 39894, 3215, 9778, 1211, 15844, 8717, 995, 4587, 9381, 49429, 39894, 3215, 9778, 1211, 15844, 30767, 995, 25708, 12399, 39894, 3215, 9778, 1211, 15844, 11331, 33546, 1211, 6024, 114, 25513, 4032, 16490, 9640, 7435, 25062, 38251, 3660, 6156, 47432, 12399, 20193, 32771, 13546, 12399, 7251, 3555, 4587, 7578, 44945, 16606, 25894, 11296, 11778, 1829, 3714, 26108, 3215, 2288, 8592, 5551, 25957, 1211, 8978, 11296, 49429, 11331, 26108, 3660, 6156, 3555, 1863, 11622, 1211, 11296, 9122, 15042, 39896], "avg_logprob": -0.2110148567964535, "compression_ratio": 1.8241758241758241, "no_speech_prob": 0.0, "words": [{"start": 752.66, "end": 753.28, "word": "أي", "probability": 0.661376953125}, {"start": 753.28, "end": 753.44, "word": " و", "probability": 0.52001953125}, {"start": 753.44, "end": 754.0, "word": " يرجع", "probability": 0.6913248697916666}, {"start": 754.0, "end": 754.62, "word": " إياك", "probability": 0.8213704427083334}, {"start": 754.62, "end": 755.08, "word": " واحد", "probability": 0.8701171875}, {"start": 755.08, "end": 755.54, "word": " يعمل", "probability": 0.9899088541666666}, {"start": 755.54, "end": 756.02, "word": " الشغل", "probability": 0.9210611979166666}, {"start": 756.02, "end": 756.74, "word": " هذي", "probability": 0.5322265625}, {"start": 756.74, "end": 757.24, "word": " اللي", "probability": 0.746826171875}, {"start": 757.24, "end": 757.4, "word": " لا", "probability": 0.74365234375}, {"start": 757.4, "end": 757.94, "word": " بتدخل", "probability": 0.908447265625}, {"start": 757.94, "end": 758.12, "word": " على", "probability": 0.97265625}, {"start": 758.12, "end": 758.68, "word": " ناقص", "probability": 0.9654541015625}, {"start": 758.68, "end": 758.9, "word": " ولا", "probability": 0.93603515625}, {"start": 758.9, "end": 759.48, "word": " بتدخل", "probability": 0.9598388671875}, {"start": 759.48, "end": 759.7, "word": " على", "probability": 0.94140625}, {"start": 759.7, "end": 760.68, "word": " زايد،", "probability": 0.7579345703125}, {"start": 760.68, "end": 761.38, "word": " بتدخل", "probability": 0.9459228515625}, {"start": 761.38, "end": 761.56, "word": " على", "probability": 0.97412109375}, {"start": 761.56, "end": 762.06, "word": " حاصل", "probability": 0.8074544270833334}, {"start": 762.06, "end": 762.44, "word": " الضرب", "probability": 0.8916015625}, {"start": 762.44, "end": 762.66, "word": " و", "probability": 0.91943359375}, {"start": 762.66, "end": 763.08, "word": " خارج", "probability": 0.9567057291666666}, {"start": 763.08, "end": 763.68, "word": " القسمة", "probability": 0.8182779947916666}, {"start": 763.68, "end": 764.76, "word": " فقط،", "probability": 0.8001302083333334}, {"start": 764.76, "end": 764.88, "word": " لا", "probability": 0.83642578125}, {"start": 764.88, "end": 765.88, "word": " غير،", "probability": 0.7822265625}, {"start": 765.88, "end": 766.18, "word": " يبقى", "probability": 0.8336181640625}, {"start": 766.18, "end": 766.48, "word": " بناء", "probability": 0.5838623046875}, {"start": 766.48, "end": 766.92, "word": " عليها", "probability": 0.5283203125}, {"start": 766.92, "end": 767.1, "word": " دي", "probability": 0.5709228515625}, {"start": 767.1, "end": 767.56, "word": " ماجدرش", "probability": 0.835546875}, {"start": 767.56, "end": 767.8, "word": " أعمل", "probability": 0.8893229166666666}, {"start": 767.8, "end": 768.0, "word": " فيها", "probability": 0.982177734375}, {"start": 768.0, "end": 768.22, "word": " ولا", "probability": 0.923828125}, {"start": 768.22, "end": 768.68, "word": " حاجة", "probability": 0.9978841145833334}, {"start": 768.68, "end": 769.78, "word": " فبنزلها", "probability": 0.9048665364583334}, {"start": 769.78, "end": 770.48, "word": " كما", "probability": 0.953125}, {"start": 770.48, "end": 770.82, "word": " هي", "probability": 0.9765625}], "temperature": 1.0}, {"id": 34, "seek": 79973, "start": 771.49, "end": 799.73, "text": "الحين هذه انا اكتبت المثال هذه أبسط من اللي فوق كتير اذا عملية الاشتراك اللي هيبقى سهلة يبقى يبدو Y' يسوى نصف في واحد على X زائد واحد لمشتقة مداخل الـN اللي هو في جداش بواحد ناقص واحد على تلاتة زائد X عربية في جداش في اتنين X", "tokens": [6027, 5016, 9957, 29538, 1975, 8315, 1975, 4117, 2655, 3555, 2655, 9673, 12984, 6027, 29538, 5551, 3555, 3794, 9566, 9154, 13672, 1829, 6156, 30543, 9122, 2655, 13546, 1975, 15730, 6225, 42213, 10632, 2423, 33599, 2655, 23557, 4117, 13672, 1829, 39896, 3555, 4587, 7578, 8608, 3224, 37977, 7251, 3555, 4587, 7578, 7251, 44510, 2407, 398, 6, 7251, 3794, 2407, 7578, 8717, 9381, 5172, 8978, 36764, 24401, 15844, 1783, 30767, 16373, 3215, 36764, 24401, 32767, 8592, 2655, 28671, 3714, 3215, 47283, 1211, 2423, 39184, 45, 13672, 1829, 31439, 8978, 10874, 3215, 33599, 4724, 14407, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 1783, 6225, 25513, 10632, 8978, 10874, 3215, 33599, 8978, 1975, 2655, 1863, 9957, 1783], "avg_logprob": -0.29431352336875727, "compression_ratio": 1.9086538461538463, "no_speech_prob": 0.0, "words": [{"start": 771.49, "end": 772.11, "word": "الحين", "probability": 0.7582194010416666}, {"start": 772.11, "end": 772.45, "word": " هذه", "probability": 0.30322265625}, {"start": 772.45, "end": 772.71, "word": " انا", "probability": 0.4234619140625}, {"start": 772.71, "end": 773.27, "word": " اكتبت", "probability": 0.87744140625}, {"start": 773.27, "end": 773.79, "word": " المثال", "probability": 0.705810546875}, {"start": 773.79, "end": 774.47, "word": " هذه", "probability": 0.423095703125}, {"start": 774.47, "end": 775.01, "word": " أبسط", "probability": 0.69573974609375}, {"start": 775.01, "end": 775.19, "word": " من", "probability": 0.97021484375}, {"start": 775.19, "end": 775.39, "word": " اللي", "probability": 0.78662109375}, {"start": 775.39, "end": 775.65, "word": " فوق", "probability": 0.93896484375}, {"start": 775.65, "end": 776.15, "word": " كتير", "probability": 0.7802734375}, {"start": 776.15, "end": 776.77, "word": " اذا", "probability": 0.668701171875}, {"start": 776.77, "end": 777.23, "word": " عملية", "probability": 0.97802734375}, {"start": 777.23, "end": 777.87, "word": " الاشتراك", "probability": 0.82197265625}, {"start": 777.87, "end": 778.01, "word": " اللي", "probability": 0.778564453125}, {"start": 778.01, "end": 778.25, "word": " هيبقى", "probability": 0.6776123046875}, {"start": 778.25, "end": 779.77, "word": " سهلة", "probability": 0.5482177734375}, {"start": 779.77, "end": 780.03, "word": " يبقى", "probability": 0.830078125}, {"start": 780.03, "end": 780.35, "word": " يبدو", "probability": 0.371337890625}, {"start": 780.35, "end": 780.73, "word": " Y'", "probability": 0.39697265625}, {"start": 781.45, "end": 782.59, "word": " يسوى", "probability": 0.717041015625}, {"start": 782.59, "end": 783.37, "word": " نصف", "probability": 0.8790690104166666}, {"start": 783.37, "end": 783.57, "word": " في", "probability": 0.68212890625}, {"start": 783.57, "end": 784.25, "word": " واحد", "probability": 0.947998046875}, {"start": 784.25, "end": 784.99, "word": " على", "probability": 0.7275390625}, {"start": 784.99, "end": 785.35, "word": " X", "probability": 0.833984375}, {"start": 785.35, "end": 785.81, "word": " زائد", "probability": 0.8860677083333334}, {"start": 785.81, "end": 786.25, "word": " واحد", "probability": 0.9677734375}, {"start": 786.25, "end": 787.45, "word": " لمشتقة", "probability": 0.7889404296875}, {"start": 787.45, "end": 788.19, "word": " مداخل", "probability": 0.94970703125}, {"start": 788.19, "end": 788.73, "word": " الـN", "probability": 0.4507242838541667}, {"start": 788.73, "end": 789.37, "word": " اللي", "probability": 0.90234375}, {"start": 789.37, "end": 789.49, "word": " هو", "probability": 0.96923828125}, {"start": 789.49, "end": 789.59, "word": " في", "probability": 0.568359375}, {"start": 789.59, "end": 790.23, "word": " جداش", "probability": 0.6922200520833334}, {"start": 790.23, "end": 791.23, "word": " بواحد", "probability": 0.8094075520833334}, {"start": 791.23, "end": 792.27, "word": " ناقص", "probability": 0.911376953125}, {"start": 792.27, "end": 793.45, "word": " واحد", "probability": 0.95556640625}, {"start": 793.45, "end": 794.19, "word": " على", "probability": 0.8955078125}, {"start": 794.19, "end": 795.05, "word": " تلاتة", "probability": 0.9405517578125}, {"start": 795.05, "end": 795.97, "word": " زائد", "probability": 0.9415690104166666}, {"start": 795.97, "end": 796.17, "word": " X", "probability": 0.970703125}, {"start": 796.17, "end": 796.47, "word": " عربية", "probability": 0.56494140625}, {"start": 796.47, "end": 796.59, "word": " في", "probability": 0.9716796875}, {"start": 796.59, "end": 797.13, "word": " جداش", "probability": 0.9837239583333334}, {"start": 797.13, "end": 797.99, "word": " في", "probability": 0.6435546875}, {"start": 797.99, "end": 799.23, "word": " اتنين", "probability": 0.93408203125}, {"start": 799.23, "end": 799.73, "word": " X", "probability": 0.962890625}], "temperature": 1.0}, {"id": 35, "seek": 82101, "start": 802.13, "end": 821.01, "text": "طيب السؤال الخامس ال Y تسوى لإن افتح جوس الجدري التربية اللي واحد زائد X تربية في sign 3X", "tokens": [9566, 1829, 3555, 21136, 33604, 6027, 33962, 10943, 3794, 2423, 398, 6055, 3794, 2407, 7578, 5296, 28814, 1863, 1975, 5172, 2655, 5016, 10874, 41779, 25724, 3215, 16572, 16712, 25513, 10632, 13672, 1829, 36764, 24401, 30767, 16373, 3215, 1783, 6055, 25513, 10632, 8978, 1465, 805, 55], "avg_logprob": -0.3211616724729538, "compression_ratio": 1.3103448275862069, "no_speech_prob": 0.0, "words": [{"start": 802.13, "end": 802.55, "word": "طيب", "probability": 0.7204182942708334}, {"start": 802.55, "end": 802.97, "word": " السؤال", "probability": 0.8668619791666666}, {"start": 802.97, "end": 803.65, "word": " الخامس", "probability": 0.9811197916666666}, {"start": 803.65, "end": 804.85, "word": " ال", "probability": 0.88427734375}, {"start": 804.85, "end": 805.35, "word": " Y", "probability": 0.51806640625}, {"start": 805.35, "end": 807.89, "word": " تسوى", "probability": 0.63983154296875}, {"start": 807.89, "end": 810.33, "word": " لإن", "probability": 0.6131998697916666}, {"start": 810.33, "end": 811.67, "word": " افتح", "probability": 0.850830078125}, {"start": 811.67, "end": 812.23, "word": " جوس", "probability": 0.633056640625}, {"start": 812.23, "end": 814.11, "word": " الجدري", "probability": 0.76953125}, {"start": 814.11, "end": 814.83, "word": " التربية", "probability": 0.8095703125}, {"start": 814.83, "end": 815.05, "word": " اللي", "probability": 0.67822265625}, {"start": 815.05, "end": 815.69, "word": " واحد", "probability": 0.769287109375}, {"start": 815.69, "end": 816.35, "word": " زائد", "probability": 0.94775390625}, {"start": 816.35, "end": 816.79, "word": " X", "probability": 0.93798828125}, {"start": 816.79, "end": 817.59, "word": " تربية", "probability": 0.9265950520833334}, {"start": 817.59, "end": 818.31, "word": " في", "probability": 0.90869140625}, {"start": 818.31, "end": 819.25, "word": " sign", "probability": 0.1417236328125}, {"start": 819.25, "end": 821.01, "word": " 3X", "probability": 0.596923828125}], "temperature": 1.0}, {"id": 36, "seek": 83498, "start": 823.52, "end": 834.98, "text": "يبقى 1 على sin 3x في تفاضل ال sin ب cos 3x لمشتقة الزاوية اللي هي ب3", "tokens": [1829, 3555, 4587, 7578, 502, 15844, 3343, 805, 87, 8978, 6055, 5172, 46958, 1211, 2423, 3343, 4724, 3792, 805, 87, 32767, 8592, 2655, 28671, 6024, 110, 995, 2407, 10632, 13672, 1829, 39896, 4724, 18], "avg_logprob": -0.27723213945116315, "compression_ratio": 1.1290322580645162, "no_speech_prob": 0.0, "words": [{"start": 823.52, "end": 823.96, "word": "يبقى", "probability": 0.8619384765625}, {"start": 823.96, "end": 824.4, "word": " 1", "probability": 0.56982421875}, {"start": 824.4, "end": 825.64, "word": " على", "probability": 0.64208984375}, {"start": 825.64, "end": 826.34, "word": " sin", "probability": 0.49755859375}, {"start": 826.34, "end": 827.62, "word": " 3x", "probability": 0.700439453125}, {"start": 827.62, "end": 828.24, "word": " في", "probability": 0.59814453125}, {"start": 828.24, "end": 828.98, "word": " تفاضل", "probability": 0.9761962890625}, {"start": 828.98, "end": 829.2, "word": " ال", "probability": 0.70849609375}, {"start": 829.2, "end": 829.64, "word": " sin", "probability": 0.2318115234375}, {"start": 829.64, "end": 829.9, "word": " ب", "probability": 0.9794921875}, {"start": 829.9, "end": 830.5, "word": " cos", "probability": 0.5712890625}, {"start": 830.5, "end": 832.36, "word": " 3x", "probability": 0.955810546875}, {"start": 832.36, "end": 833.64, "word": " لمشتقة", "probability": 0.826416015625}, {"start": 833.64, "end": 834.26, "word": " الزاوية", "probability": 0.927734375}, {"start": 834.26, "end": 834.42, "word": " اللي", "probability": 0.795166015625}, {"start": 834.42, "end": 834.58, "word": " هي", "probability": 0.865234375}, {"start": 834.58, "end": 834.98, "word": " ب3", "probability": 0.4288330078125}], "temperature": 1.0}, {"id": 37, "seek": 86552, "start": 836.32, "end": 865.52, "text": "إذاً النتيجة كالتالي اتنين مع النص الله يسهل عليها بيقول ايه ماجداش؟ بيقول X على واحد زائد X تربيع زائد تلاتة كصين على صين كداش؟ ابكتان لتلاتة X السؤال السادس السؤال السادس بيقول لي Y تساوي X", "tokens": [28814, 15730, 14111, 28239, 31371, 7435, 3660, 9122, 6027, 2655, 6027, 1829, 1975, 2655, 1863, 9957, 20449, 28239, 9381, 21984, 7251, 3794, 3224, 1211, 25894, 11296, 4724, 1829, 39648, 1975, 1829, 3224, 3714, 26108, 3215, 33599, 22807, 4724, 1829, 39648, 1783, 15844, 36764, 24401, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 9122, 9381, 9957, 15844, 20328, 9957, 9122, 3215, 33599, 22807, 48127, 4117, 2655, 7649, 5296, 2655, 1211, 9307, 3660, 1783, 21136, 33604, 6027, 21136, 18513, 3794, 21136, 33604, 6027, 21136, 18513, 3794, 4724, 1829, 39648, 32239, 398, 6055, 3794, 995, 45865, 1783], "avg_logprob": -0.2519914174781126, "compression_ratio": 1.9941520467836258, "no_speech_prob": 0.0, "words": [{"start": 836.32, "end": 836.8, "word": "إذاً", "probability": 0.4005533854166667}, {"start": 836.8, "end": 837.42, "word": " النتيجة", "probability": 0.95068359375}, {"start": 837.42, "end": 838.26, "word": " كالتالي", "probability": 0.86787109375}, {"start": 838.26, "end": 839.32, "word": " اتنين", "probability": 0.8748779296875}, {"start": 839.32, "end": 839.56, "word": " مع", "probability": 0.9306640625}, {"start": 839.56, "end": 840.0, "word": " النص", "probability": 0.79345703125}, {"start": 840.0, "end": 840.26, "word": " الله", "probability": 0.37109375}, {"start": 840.26, "end": 840.72, "word": " يسهل", "probability": 0.955078125}, {"start": 840.72, "end": 841.24, "word": " عليها", "probability": 0.986328125}, {"start": 841.24, "end": 842.2, "word": " بيقول", "probability": 0.7093912760416666}, {"start": 842.2, "end": 842.3, "word": " ايه", "probability": 0.6003824869791666}, {"start": 842.3, "end": 843.14, "word": " ماجداش؟", "probability": 0.470361328125}, {"start": 843.14, "end": 843.72, "word": " بيقول", "probability": 0.8548177083333334}, {"start": 843.72, "end": 844.3, "word": " X", "probability": 0.54638671875}, {"start": 844.3, "end": 845.06, "word": " على", "probability": 0.54052734375}, {"start": 845.06, "end": 845.76, "word": " واحد", "probability": 0.976318359375}, {"start": 845.76, "end": 846.76, "word": " زائد", "probability": 0.8899739583333334}, {"start": 846.76, "end": 847.16, "word": " X", "probability": 0.97021484375}, {"start": 847.16, "end": 847.98, "word": " تربيع", "probability": 0.815673828125}, {"start": 847.98, "end": 849.22, "word": " زائد", "probability": 0.966796875}, {"start": 849.22, "end": 849.92, "word": " تلاتة", "probability": 0.919189453125}, {"start": 849.92, "end": 850.74, "word": " كصين", "probability": 0.55322265625}, {"start": 850.74, "end": 851.02, "word": " على", "probability": 0.86083984375}, {"start": 851.02, "end": 851.64, "word": " صين", "probability": 0.8544921875}, {"start": 851.64, "end": 853.52, "word": " كداش؟", "probability": 0.73016357421875}, {"start": 853.52, "end": 854.66, "word": " ابكتان", "probability": 0.67877197265625}, {"start": 854.66, "end": 856.18, "word": " لتلاتة", "probability": 0.980859375}, {"start": 856.18, "end": 856.58, "word": " X", "probability": 0.9501953125}, {"start": 856.58, "end": 858.82, "word": " السؤال", "probability": 0.9812825520833334}, {"start": 858.82, "end": 859.54, "word": " السادس", "probability": 0.95263671875}, {"start": 859.54, "end": 861.62, "word": " السؤال", "probability": 0.9235026041666666}, {"start": 861.62, "end": 862.3, "word": " السادس", "probability": 0.9881184895833334}, {"start": 862.3, "end": 863.22, "word": " بيقول", "probability": 0.9708658854166666}, {"start": 863.22, "end": 863.42, "word": " لي", "probability": 0.4658203125}, {"start": 863.42, "end": 864.12, "word": " Y", "probability": 0.8896484375}, {"start": 864.12, "end": 864.9, "word": " تساوي", "probability": 0.916748046875}, {"start": 864.9, "end": 865.52, "word": " X", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 38, "seek": 87930, "start": 866.74, "end": 879.3, "text": "تان للم ال X إزاي كل تبعة التان هي للم ال X؟ يبقى هذه مشتقة حاصل ضرب مش عارف دلتين ولا تلاتة هذه", "tokens": [2655, 7649, 5296, 19528, 2423, 1783, 11933, 11622, 47302, 28242, 6055, 3555, 3615, 3660, 16712, 7649, 39896, 5296, 19528, 2423, 1783, 22807, 7251, 3555, 4587, 7578, 29538, 37893, 2655, 28671, 11331, 33546, 1211, 48812, 25513, 37893, 6225, 9640, 5172, 11778, 1211, 2655, 9957, 49429, 6055, 1211, 9307, 3660, 29538], "avg_logprob": -0.2859375023841858, "compression_ratio": 1.435897435897436, "no_speech_prob": 0.0, "words": [{"start": 866.7400000000001, "end": 867.5400000000001, "word": "تان", "probability": 0.6260986328125}, {"start": 867.5400000000001, "end": 868.34, "word": " للم", "probability": 0.91943359375}, {"start": 868.34, "end": 868.62, "word": " ال", "probability": 0.423583984375}, {"start": 868.62, "end": 869.02, "word": " X", "probability": 0.6416015625}, {"start": 869.02, "end": 871.66, "word": " إزاي", "probability": 0.6048990885416666}, {"start": 871.66, "end": 872.12, "word": " كل", "probability": 0.85595703125}, {"start": 872.12, "end": 872.84, "word": " تبعة", "probability": 0.68194580078125}, {"start": 872.84, "end": 873.34, "word": " التان", "probability": 0.93798828125}, {"start": 873.34, "end": 873.54, "word": " هي", "probability": 0.744140625}, {"start": 873.54, "end": 873.88, "word": " للم", "probability": 0.80810546875}, {"start": 873.88, "end": 874.02, "word": " ال", "probability": 0.85986328125}, {"start": 874.02, "end": 874.76, "word": " X؟", "probability": 0.81689453125}, {"start": 874.76, "end": 875.12, "word": " يبقى", "probability": 0.874755859375}, {"start": 875.12, "end": 875.36, "word": " هذه", "probability": 0.486083984375}, {"start": 875.36, "end": 876.14, "word": " مشتقة", "probability": 0.8330078125}, {"start": 876.14, "end": 876.88, "word": " حاصل", "probability": 0.7939453125}, {"start": 876.88, "end": 877.14, "word": " ضرب", "probability": 0.88134765625}, {"start": 877.14, "end": 877.32, "word": " مش", "probability": 0.73291015625}, {"start": 877.32, "end": 877.6, "word": " عارف", "probability": 0.99365234375}, {"start": 877.6, "end": 878.2, "word": " دلتين", "probability": 0.8580322265625}, {"start": 878.2, "end": 878.42, "word": " ولا", "probability": 0.53759765625}, {"start": 878.42, "end": 879.04, "word": " تلاتة", "probability": 0.9749755859375}, {"start": 879.04, "end": 879.3, "word": " هذه", "probability": 0.671875}], "temperature": 1.0}, {"id": 39, "seek": 90632, "start": 880.82, "end": 906.32, "text": "تنتين ولا تلاتة؟ تنتين لأن التان او النسبة المثلثية لا معنى لها بدون الزاوية لازم تكون الزاوية موجودة عندى حتى اقدر ايه حتى اقدر اللى هو اشتق اذا هذه دالة وهذه كلها دالة تانية يبقى باجب اقول لهم why prime يساوي الدالة لنا مشتقة التان", "tokens": [2655, 29399, 9957, 49429, 6055, 1211, 9307, 3660, 22807, 6055, 29399, 9957, 5296, 33456, 16712, 7649, 1975, 2407, 28239, 35457, 3660, 9673, 12984, 1211, 12984, 10632, 20193, 20449, 1863, 7578, 5296, 11296, 47525, 11536, 6024, 110, 995, 2407, 10632, 5296, 31377, 2304, 6055, 30544, 6024, 110, 995, 2407, 10632, 3714, 29245, 23328, 3660, 43242, 7578, 11331, 49975, 1975, 28543, 2288, 1975, 1829, 3224, 11331, 49975, 1975, 28543, 2288, 13672, 7578, 31439, 1975, 8592, 2655, 4587, 1975, 15730, 29538, 11778, 6027, 3660, 37037, 24192, 28242, 11296, 11778, 6027, 3660, 6055, 7649, 10632, 7251, 3555, 4587, 7578, 4724, 26108, 3555, 1975, 39648, 5296, 16095, 983, 5835, 7251, 3794, 995, 45865, 32748, 6027, 3660, 5296, 8315, 37893, 2655, 28671, 16712, 7649], "avg_logprob": -0.21848739721194035, "compression_ratio": 1.962085308056872, "no_speech_prob": 0.0, "words": [{"start": 880.82, "end": 881.32, "word": "تنتين", "probability": 0.5902913411458334}, {"start": 881.32, "end": 881.46, "word": " ولا", "probability": 0.476318359375}, {"start": 881.46, "end": 882.14, "word": " تلاتة؟", "probability": 0.9375}, {"start": 882.14, "end": 883.08, "word": " تنتين", "probability": 0.8430989583333334}, {"start": 883.08, "end": 883.5, "word": " لأن", "probability": 0.640380859375}, {"start": 883.5, "end": 884.14, "word": " التان", "probability": 0.58135986328125}, {"start": 884.14, "end": 884.38, "word": " او", "probability": 0.74609375}, {"start": 884.38, "end": 884.98, "word": " النسبة", "probability": 0.9044596354166666}, {"start": 884.98, "end": 886.2, "word": " المثلثية", "probability": 0.89716796875}, {"start": 886.2, "end": 887.02, "word": " لا", "probability": 0.76611328125}, {"start": 887.02, "end": 887.72, "word": " معنى", "probability": 0.947265625}, {"start": 887.72, "end": 887.98, "word": " لها", "probability": 0.98046875}, {"start": 887.98, "end": 888.4, "word": " بدون", "probability": 0.990478515625}, {"start": 888.4, "end": 889.02, "word": " الزاوية", "probability": 0.912890625}, {"start": 889.02, "end": 889.48, "word": " لازم", "probability": 0.787109375}, {"start": 889.48, "end": 889.74, "word": " تكون", "probability": 0.82568359375}, {"start": 889.74, "end": 890.18, "word": " الزاوية", "probability": 0.962109375}, {"start": 890.18, "end": 890.62, "word": " موجودة", "probability": 0.96728515625}, {"start": 890.62, "end": 891.08, "word": " عندى", "probability": 0.800048828125}, {"start": 891.08, "end": 891.72, "word": " حتى", "probability": 0.875}, {"start": 891.72, "end": 892.2, "word": " اقدر", "probability": 0.80078125}, {"start": 892.2, "end": 892.54, "word": " ايه", "probability": 0.7432454427083334}, {"start": 892.54, "end": 893.16, "word": " حتى", "probability": 0.828125}, {"start": 893.16, "end": 893.84, "word": " اقدر", "probability": 0.9661458333333334}, {"start": 893.84, "end": 894.42, "word": " اللى", "probability": 0.841552734375}, {"start": 894.42, "end": 894.78, "word": " هو", "probability": 0.90966796875}, {"start": 894.78, "end": 895.34, "word": " اشتق", "probability": 0.79541015625}, {"start": 895.34, "end": 896.02, "word": " اذا", "probability": 0.686279296875}, {"start": 896.02, "end": 896.66, "word": " هذه", "probability": 0.7431640625}, {"start": 896.66, "end": 898.72, "word": " دالة", "probability": 0.7467447916666666}, {"start": 898.72, "end": 899.1, "word": " وهذه", "probability": 0.773193359375}, {"start": 899.1, "end": 899.78, "word": " كلها", "probability": 0.972412109375}, {"start": 899.78, "end": 900.24, "word": " دالة", "probability": 0.9781901041666666}, {"start": 900.24, "end": 900.68, "word": " تانية", "probability": 0.9910481770833334}, {"start": 900.68, "end": 901.38, "word": " يبقى", "probability": 0.95166015625}, {"start": 901.38, "end": 901.76, "word": " باجب", "probability": 0.8408203125}, {"start": 901.76, "end": 902.1, "word": " اقول", "probability": 0.90087890625}, {"start": 902.1, "end": 902.36, "word": " لهم", "probability": 0.59405517578125}, {"start": 902.36, "end": 902.68, "word": " why", "probability": 0.5078125}, {"start": 902.68, "end": 903.2, "word": " prime", "probability": 0.75146484375}, {"start": 903.2, "end": 903.72, "word": " يساوي", "probability": 0.643524169921875}, {"start": 903.72, "end": 904.42, "word": " الدالة", "probability": 0.8821614583333334}, {"start": 904.42, "end": 904.84, "word": " لنا", "probability": 0.767333984375}, {"start": 904.84, "end": 905.78, "word": " مشتقة", "probability": 0.8038736979166666}, {"start": 905.78, "end": 906.32, "word": " التان", "probability": 0.956787109375}], "temperature": 1.0}, {"id": 40, "seek": 92799, "start": 907.37, "end": 927.99, "text": "زكروني في جداش؟ سكتة ربيع يبقى سكتة ربيع لإن ال X طرب مشتقة إزاية طبقا لل chain rule مشتقة إزاية في جداش؟ واحد على X يعني مشتقة لإن ال X اللي بيبقى واحد على X", "tokens": [11622, 37983, 11536, 1829, 8978, 10874, 3215, 33599, 22807, 8608, 4117, 2655, 3660, 12602, 21292, 3615, 7251, 3555, 4587, 7578, 8608, 4117, 2655, 3660, 12602, 21292, 3615, 5296, 28814, 1863, 2423, 1783, 23032, 25513, 37893, 2655, 28671, 11933, 11622, 995, 10632, 23032, 3555, 4587, 995, 24976, 5021, 4978, 37893, 2655, 28671, 11933, 11622, 995, 10632, 8978, 10874, 3215, 33599, 22807, 36764, 24401, 15844, 1783, 37495, 22653, 37893, 2655, 28671, 5296, 28814, 1863, 2423, 1783, 13672, 1829, 4724, 1829, 3555, 4587, 7578, 36764, 24401, 15844, 1783], "avg_logprob": -0.26344475358031516, "compression_ratio": 1.8175675675675675, "no_speech_prob": 0.0, "words": [{"start": 907.37, "end": 908.15, "word": "زكروني", "probability": 0.670196533203125}, {"start": 908.15, "end": 908.23, "word": " في", "probability": 0.662109375}, {"start": 908.23, "end": 909.17, "word": " جداش؟", "probability": 0.6011810302734375}, {"start": 909.17, "end": 909.91, "word": " سكتة", "probability": 0.7305908203125}, {"start": 909.91, "end": 910.47, "word": " ربيع", "probability": 0.9435221354166666}, {"start": 910.47, "end": 911.69, "word": " يبقى", "probability": 0.884765625}, {"start": 911.69, "end": 912.41, "word": " سكتة", "probability": 0.933837890625}, {"start": 912.41, "end": 913.11, "word": " ربيع", "probability": 0.9723307291666666}, {"start": 913.11, "end": 913.81, "word": " لإن", "probability": 0.7869466145833334}, {"start": 913.81, "end": 914.03, "word": " ال", "probability": 0.81982421875}, {"start": 914.03, "end": 914.49, "word": " X", "probability": 0.78076171875}, {"start": 914.49, "end": 915.31, "word": " طرب", "probability": 0.379150390625}, {"start": 915.31, "end": 916.01, "word": " مشتقة", "probability": 0.93115234375}, {"start": 916.01, "end": 916.81, "word": " إزاية", "probability": 0.65374755859375}, {"start": 916.81, "end": 917.81, "word": " طبقا", "probability": 0.9041748046875}, {"start": 917.81, "end": 918.29, "word": " لل", "probability": 0.51904296875}, {"start": 918.29, "end": 918.81, "word": " chain", "probability": 0.255859375}, {"start": 918.81, "end": 919.27, "word": " rule", "probability": 0.9384765625}, {"start": 919.27, "end": 920.39, "word": " مشتقة", "probability": 0.90283203125}, {"start": 920.39, "end": 920.77, "word": " إزاية", "probability": 0.9774169921875}, {"start": 920.77, "end": 920.89, "word": " في", "probability": 0.414306640625}, {"start": 920.89, "end": 921.99, "word": " جداش؟", "probability": 0.9407958984375}, {"start": 921.99, "end": 922.91, "word": " واحد", "probability": 0.911376953125}, {"start": 922.91, "end": 923.23, "word": " على", "probability": 0.68115234375}, {"start": 923.23, "end": 923.47, "word": " X", "probability": 0.89453125}, {"start": 923.47, "end": 923.75, "word": " يعني", "probability": 0.767578125}, {"start": 923.75, "end": 924.43, "word": " مشتقة", "probability": 0.97021484375}, {"start": 924.43, "end": 924.75, "word": " لإن", "probability": 0.9134114583333334}, {"start": 924.75, "end": 924.89, "word": " ال", "probability": 0.92236328125}, {"start": 924.89, "end": 925.23, "word": " X", "probability": 0.9912109375}, {"start": 925.23, "end": 925.83, "word": " اللي", "probability": 0.659912109375}, {"start": 925.83, "end": 926.11, "word": " بيبقى", "probability": 0.75205078125}, {"start": 926.11, "end": 926.69, "word": " واحد", "probability": 0.976318359375}, {"start": 926.69, "end": 927.39, "word": " على", "probability": 0.84814453125}, {"start": 927.39, "end": 927.99, "word": " X", "probability": 0.994140625}], "temperature": 1.0}, {"id": 41, "seek": 95847, "start": 929.69, "end": 958.47, "text": "طبعا يبقى هذا الأولى في مشتقة مين الدالة الثانية زائد الدالة التانية اللى هى tan للن ال X في مشتقة الأولى اللى هى بقاش واحد صحيح عندك هنا X وهنا واحد على X مع السلامة يبقى بتقول النتيجة إلى سكتة ربيع للن ال X زائد tan للن ال X كذلك", "tokens": [9566, 3555, 3615, 995, 7251, 3555, 4587, 7578, 23758, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 3714, 9957, 32748, 6027, 3660, 6024, 104, 7649, 10632, 30767, 16373, 3215, 32748, 6027, 3660, 16712, 7649, 10632, 13672, 7578, 8032, 7578, 7603, 5296, 1211, 1863, 2423, 1783, 8978, 37893, 2655, 28671, 16247, 12610, 7578, 13672, 7578, 8032, 7578, 4724, 4587, 33599, 36764, 24401, 20328, 5016, 1829, 5016, 43242, 4117, 34105, 1783, 37037, 8315, 36764, 24401, 15844, 1783, 20449, 21136, 37440, 3660, 7251, 3555, 4587, 7578, 39894, 39648, 28239, 31371, 7435, 3660, 30731, 8608, 4117, 2655, 3660, 12602, 21292, 3615, 5296, 1211, 1863, 2423, 1783, 30767, 16373, 3215, 7603, 5296, 1211, 1863, 2423, 1783, 9122, 8848, 23275], "avg_logprob": -0.21271929837632597, "compression_ratio": 2.082901554404145, "no_speech_prob": 0.0, "words": [{"start": 929.69, "end": 930.27, "word": "طبعا", "probability": 0.7455291748046875}, {"start": 930.27, "end": 931.01, "word": " يبقى", "probability": 0.83935546875}, {"start": 931.01, "end": 931.33, "word": " هذا", "probability": 0.8232421875}, {"start": 931.33, "end": 931.99, "word": " الأولى", "probability": 0.9161783854166666}, {"start": 931.99, "end": 932.17, "word": " في", "probability": 0.86376953125}, {"start": 932.17, "end": 932.85, "word": " مشتقة", "probability": 0.9012044270833334}, {"start": 932.85, "end": 933.35, "word": " مين", "probability": 0.793701171875}, {"start": 933.35, "end": 934.29, "word": " الدالة", "probability": 0.77587890625}, {"start": 934.29, "end": 934.77, "word": " الثانية", "probability": 0.91845703125}, {"start": 934.77, "end": 935.77, "word": " زائد", "probability": 0.7779947916666666}, {"start": 935.77, "end": 936.47, "word": " الدالة", "probability": 0.9793294270833334}, {"start": 936.47, "end": 936.95, "word": " التانية", "probability": 0.9388020833333334}, {"start": 936.95, "end": 937.15, "word": " اللى", "probability": 0.615478515625}, {"start": 937.15, "end": 937.43, "word": " هى", "probability": 0.784423828125}, {"start": 937.43, "end": 938.11, "word": " tan", "probability": 0.3984375}, {"start": 938.11, "end": 939.27, "word": " للن", "probability": 0.6645914713541666}, {"start": 939.27, "end": 939.55, "word": " ال", "probability": 0.826171875}, {"start": 939.55, "end": 939.91, "word": " X", "probability": 0.5146484375}, {"start": 939.91, "end": 940.37, "word": " في", "probability": 0.541015625}, {"start": 940.37, "end": 941.01, "word": " مشتقة", "probability": 0.9508463541666666}, {"start": 941.01, "end": 941.49, "word": " الأولى", "probability": 0.9191080729166666}, {"start": 941.49, "end": 941.57, "word": " اللى", "probability": 0.971923828125}, {"start": 941.57, "end": 941.69, "word": " هى", "probability": 0.942138671875}, {"start": 941.69, "end": 942.35, "word": " بقاش", "probability": 0.3660888671875}, {"start": 942.35, "end": 942.87, "word": " واحد", "probability": 0.9453125}, {"start": 942.87, "end": 943.29, "word": " صحيح", "probability": 0.892333984375}, {"start": 943.29, "end": 944.33, "word": " عندك", "probability": 0.985107421875}, {"start": 944.33, "end": 944.61, "word": " هنا", "probability": 0.95947265625}, {"start": 944.61, "end": 945.03, "word": " X", "probability": 0.9189453125}, {"start": 945.03, "end": 945.47, "word": " وهنا", "probability": 0.7208251953125}, {"start": 945.47, "end": 945.87, "word": " واحد", "probability": 0.937255859375}, {"start": 945.87, "end": 946.07, "word": " على", "probability": 0.74658203125}, {"start": 946.07, "end": 946.37, "word": " X", "probability": 0.9638671875}, {"start": 946.37, "end": 946.61, "word": " مع", "probability": 0.98681640625}, {"start": 946.61, "end": 947.55, "word": " السلامة", "probability": 0.96630859375}, {"start": 947.55, "end": 948.23, "word": " يبقى", "probability": 0.975830078125}, {"start": 948.23, "end": 948.73, "word": " بتقول", "probability": 0.953125}, {"start": 948.73, "end": 949.61, "word": " النتيجة", "probability": 0.81231689453125}, {"start": 949.61, "end": 950.15, "word": " إلى", "probability": 0.62353515625}, {"start": 950.15, "end": 951.47, "word": " سكتة", "probability": 0.597137451171875}, {"start": 951.47, "end": 952.09, "word": " ربيع", "probability": 0.869140625}, {"start": 952.09, "end": 953.03, "word": " للن", "probability": 0.9733072916666666}, {"start": 953.03, "end": 953.31, "word": " ال", "probability": 0.8916015625}, {"start": 953.31, "end": 953.69, "word": " X", "probability": 0.974609375}, {"start": 953.69, "end": 954.83, "word": " زائد", "probability": 0.9718424479166666}, {"start": 954.83, "end": 955.65, "word": " tan", "probability": 0.81494140625}, {"start": 955.65, "end": 956.93, "word": " للن", "probability": 0.9765625}, {"start": 956.93, "end": 957.31, "word": " ال", "probability": 0.9501953125}, {"start": 957.31, "end": 957.75, "word": " X", "probability": 0.982421875}, {"start": 957.75, "end": 958.47, "word": " كذلك", "probability": 0.9806315104166666}], "temperature": 1.0}, {"id": 42, "seek": 98575, "start": 962.57, "end": 985.75, "text": "السؤال السابع يقول لي Y تساوي تكامل من X تربيع إلى X تكييب ل T للنتي DT بدنا اشتقاق للتكامل مرت علينا شغل زي هذه؟", "tokens": [6027, 3794, 33604, 6027, 21136, 16758, 3615, 7251, 39648, 32239, 398, 6055, 3794, 995, 45865, 6055, 4117, 10943, 1211, 9154, 1783, 6055, 2288, 21292, 3615, 30731, 1783, 6055, 4117, 1829, 1829, 3555, 5296, 314, 24976, 29399, 1829, 413, 51, 47525, 8315, 1975, 8592, 2655, 4587, 995, 4587, 24976, 2655, 4117, 10943, 1211, 3714, 43500, 25894, 8315, 13412, 17082, 1211, 30767, 1829, 29538, 22807], "avg_logprob": -0.2709960867650807, "compression_ratio": 1.462686567164179, "no_speech_prob": 0.0, "words": [{"start": 962.57, "end": 963.97, "word": "السؤال", "probability": 0.7397003173828125}, {"start": 963.97, "end": 964.71, "word": " السابع", "probability": 0.9376627604166666}, {"start": 964.71, "end": 968.03, "word": " يقول", "probability": 0.7763671875}, {"start": 968.03, "end": 968.25, "word": " لي", "probability": 0.3271484375}, {"start": 968.25, "end": 968.83, "word": " Y", "probability": 0.3515625}, {"start": 968.83, "end": 969.53, "word": " تساوي", "probability": 0.677093505859375}, {"start": 969.53, "end": 970.45, "word": " تكامل", "probability": 0.8961181640625}, {"start": 970.45, "end": 970.69, "word": " من", "probability": 0.96875}, {"start": 970.69, "end": 971.07, "word": " X", "probability": 0.96435546875}, {"start": 971.07, "end": 971.79, "word": " تربيع", "probability": 0.72705078125}, {"start": 971.79, "end": 972.37, "word": " إلى", "probability": 0.80224609375}, {"start": 972.37, "end": 972.81, "word": " X", "probability": 0.98681640625}, {"start": 972.81, "end": 973.47, "word": " تكييب", "probability": 0.87001953125}, {"start": 973.47, "end": 973.75, "word": " ل", "probability": 0.8779296875}, {"start": 973.75, "end": 974.41, "word": " T", "probability": 0.666015625}, {"start": 974.41, "end": 975.95, "word": " للنتي", "probability": 0.5639241536458334}, {"start": 975.95, "end": 976.71, "word": " DT", "probability": 0.6739501953125}, {"start": 976.71, "end": 981.07, "word": " بدنا", "probability": 0.680419921875}, {"start": 981.07, "end": 982.01, "word": " اشتقاق", "probability": 0.948486328125}, {"start": 982.01, "end": 983.09, "word": " للتكامل", "probability": 0.93388671875}, {"start": 983.09, "end": 984.15, "word": " مرت", "probability": 0.70068359375}, {"start": 984.15, "end": 984.49, "word": " علينا", "probability": 0.943603515625}, {"start": 984.49, "end": 984.81, "word": " شغل", "probability": 0.8761393229166666}, {"start": 984.81, "end": 985.05, "word": " زي", "probability": 0.933349609375}, {"start": 985.05, "end": 985.75, "word": " هذه؟", "probability": 0.741455078125}], "temperature": 1.0}, {"id": 43, "seek": 99919, "start": 991.07, "end": 999.19, "text": "كان اسم الـ Fundamental Theory of Calculus والنتجتين اللي موجودتين عليها", "tokens": [41361, 24525, 2304, 2423, 39184, 13493, 44538, 29009, 295, 3511, 36002, 16070, 29399, 7435, 2655, 9957, 13672, 1829, 3714, 29245, 23328, 2655, 9957, 25894, 11296], "avg_logprob": -0.4065504727455286, "compression_ratio": 1.0808080808080809, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 991.07, "end": 992.47, "word": "كان", "probability": 0.1343994140625}, {"start": 992.47, "end": 993.87, "word": " اسم", "probability": 0.922119140625}, {"start": 993.87, "end": 994.01, "word": " الـ", "probability": 0.3369140625}, {"start": 994.01, "end": 994.73, "word": " Fundamental", "probability": 0.864990234375}, {"start": 994.73, "end": 995.13, "word": " Theory", "probability": 0.1290283203125}, {"start": 995.13, "end": 995.77, "word": " of", "probability": 0.67626953125}, {"start": 995.77, "end": 996.89, "word": " Calculus", "probability": 0.891845703125}, {"start": 996.89, "end": 997.77, "word": " والنتجتين", "probability": 0.751953125}, {"start": 997.77, "end": 997.97, "word": " اللي", "probability": 0.863525390625}, {"start": 997.97, "end": 998.71, "word": " موجودتين", "probability": 0.9091796875}, {"start": 998.71, "end": 999.19, "word": " عليها", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 44, "seek": 103175, "start": 1003.17, "end": 1031.75, "text": "بنكرر هذه المسائل في الامتحانات كتير نظرا لأهميتها يبقى جمل مبدأ حلو بنقول هنا D على DX لمين؟ لتكامل من H of X لل G of X لل F of T دي T بتساوي بنشيل كل T في الدلة F of T وبحط بدلها مين؟", "tokens": [3555, 1863, 37983, 2288, 29538, 9673, 3794, 16373, 1211, 8978, 2423, 10943, 2655, 5016, 7649, 9307, 9122, 2655, 13546, 8717, 19913, 23557, 5296, 10721, 16095, 36081, 11296, 7251, 3555, 4587, 7578, 10874, 42213, 3714, 44510, 10721, 11331, 1211, 2407, 4724, 1863, 39648, 34105, 413, 15844, 48817, 32767, 9957, 22807, 5296, 2655, 4117, 10943, 1211, 9154, 389, 295, 1783, 24976, 460, 295, 1783, 24976, 479, 295, 314, 11778, 1829, 314, 39894, 3794, 995, 45865, 44945, 8592, 26895, 28242, 314, 8978, 32748, 37977, 479, 295, 314, 46599, 5016, 9566, 47525, 1211, 11296, 3714, 9957, 22807], "avg_logprob": -0.24667553254898558, "compression_ratio": 1.5968586387434556, "no_speech_prob": 0.0, "words": [{"start": 1003.17, "end": 1003.99, "word": "بنكرر", "probability": 0.8941650390625}, {"start": 1003.99, "end": 1004.37, "word": " هذه", "probability": 0.9697265625}, {"start": 1004.37, "end": 1005.15, "word": " المسائل", "probability": 0.9071044921875}, {"start": 1005.15, "end": 1005.29, "word": " في", "probability": 0.923828125}, {"start": 1005.29, "end": 1006.03, "word": " الامتحانات", "probability": 0.9357096354166666}, {"start": 1006.03, "end": 1006.55, "word": " كتير", "probability": 0.8592122395833334}, {"start": 1006.55, "end": 1007.53, "word": " نظرا", "probability": 0.9176432291666666}, {"start": 1007.53, "end": 1009.23, "word": " لأهميتها", "probability": 0.92646484375}, {"start": 1009.23, "end": 1010.05, "word": " يبقى", "probability": 0.7279052734375}, {"start": 1010.05, "end": 1010.37, "word": " جمل", "probability": 0.6162109375}, {"start": 1010.37, "end": 1010.81, "word": " مبدأ", "probability": 0.90283203125}, {"start": 1010.81, "end": 1011.63, "word": " حلو", "probability": 0.7937825520833334}, {"start": 1011.63, "end": 1012.31, "word": " بنقول", "probability": 0.6053873697916666}, {"start": 1012.31, "end": 1012.93, "word": " هنا", "probability": 0.9765625}, {"start": 1012.93, "end": 1013.69, "word": " D", "probability": 0.3349609375}, {"start": 1013.69, "end": 1014.59, "word": " على", "probability": 0.7412109375}, {"start": 1014.59, "end": 1015.57, "word": " DX", "probability": 0.84326171875}, {"start": 1015.57, "end": 1016.97, "word": " لمين؟", "probability": 0.65087890625}, {"start": 1016.97, "end": 1018.13, "word": " لتكامل", "probability": 0.97529296875}, {"start": 1018.13, "end": 1018.45, "word": " من", "probability": 0.97265625}, {"start": 1018.45, "end": 1018.93, "word": " H", "probability": 0.841796875}, {"start": 1018.93, "end": 1019.41, "word": " of", "probability": 0.7548828125}, {"start": 1019.41, "end": 1019.91, "word": " X", "probability": 0.9931640625}, {"start": 1019.91, "end": 1020.75, "word": " لل", "probability": 0.546875}, {"start": 1020.75, "end": 1021.15, "word": " G", "probability": 0.4677734375}, {"start": 1021.15, "end": 1021.71, "word": " of", "probability": 0.9775390625}, {"start": 1021.71, "end": 1022.23, "word": " X", "probability": 0.99755859375}, {"start": 1022.23, "end": 1022.59, "word": " لل", "probability": 0.88671875}, {"start": 1022.59, "end": 1023.09, "word": " F", "probability": 0.5927734375}, {"start": 1023.09, "end": 1023.61, "word": " of", "probability": 0.97705078125}, {"start": 1023.61, "end": 1024.07, "word": " T", "probability": 0.9755859375}, {"start": 1024.07, "end": 1024.49, "word": " دي", "probability": 0.58978271484375}, {"start": 1024.49, "end": 1024.69, "word": " T", "probability": 0.765625}, {"start": 1024.69, "end": 1025.65, "word": " بتساوي", "probability": 0.609466552734375}, {"start": 1025.65, "end": 1027.41, "word": " بنشيل", "probability": 0.8504231770833334}, {"start": 1027.41, "end": 1028.05, "word": " كل", "probability": 0.9755859375}, {"start": 1028.05, "end": 1028.71, "word": " T", "probability": 0.939453125}, {"start": 1028.71, "end": 1029.11, "word": " في", "probability": 0.84228515625}, {"start": 1029.11, "end": 1029.51, "word": " الدلة", "probability": 0.593017578125}, {"start": 1029.51, "end": 1029.89, "word": " F", "probability": 0.97900390625}, {"start": 1029.89, "end": 1030.09, "word": " of", "probability": 0.94775390625}, {"start": 1030.09, "end": 1030.23, "word": " T", "probability": 0.98779296875}, {"start": 1030.23, "end": 1030.77, "word": " وبحط", "probability": 0.6905924479166666}, {"start": 1030.77, "end": 1031.27, "word": " بدلها", "probability": 0.8411458333333334}, {"start": 1031.27, "end": 1031.75, "word": " مين؟", "probability": 0.7705891927083334}], "temperature": 1.0}, {"id": 45, "seek": 105713, "start": 1032.19, "end": 1057.13, "text": "G of X و بروح بضرب في مشتقة الـ G of X تبقى اللي هتشين رول بعد هيك اللي أعملته ل G بدي أعمل ل H بالضبط تماما بس بإشارة سالف يبقى هذه F R بنشيل ال T و بنكتب مكانها G of X في مشتقة الـ G of X", "tokens": [38, 295, 1783, 4032, 4724, 32887, 5016, 4724, 11242, 25513, 8978, 37893, 2655, 28671, 2423, 39184, 460, 295, 1783, 6055, 3555, 4587, 7578, 13672, 1829, 8032, 2655, 8592, 9957, 12602, 12610, 39182, 39896, 4117, 13672, 1829, 5551, 25957, 1211, 47395, 5296, 460, 4724, 16254, 5551, 25957, 1211, 5296, 389, 20666, 11242, 3555, 9566, 46811, 10943, 995, 4724, 3794, 4724, 28814, 8592, 9640, 3660, 8608, 6027, 5172, 7251, 3555, 4587, 7578, 29538, 479, 497, 44945, 8592, 26895, 2423, 314, 4032, 44945, 4117, 2655, 3555, 3714, 41361, 11296, 460, 295, 1783, 8978, 37893, 2655, 28671, 2423, 39184, 460, 295, 1783], "avg_logprob": -0.30224117606577244, "compression_ratio": 1.701657458563536, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1032.19, "end": 1032.49, "word": "G", "probability": 0.1151123046875}, {"start": 1032.49, "end": 1032.87, "word": " of", "probability": 0.237548828125}, {"start": 1032.87, "end": 1033.25, "word": " X", "probability": 0.84375}, {"start": 1033.25, "end": 1033.55, "word": " و", "probability": 0.2822265625}, {"start": 1033.55, "end": 1033.87, "word": " بروح", "probability": 0.7095540364583334}, {"start": 1033.87, "end": 1034.25, "word": " بضرب", "probability": 0.8365885416666666}, {"start": 1034.25, "end": 1034.41, "word": " في", "probability": 0.74609375}, {"start": 1034.41, "end": 1035.01, "word": " مشتقة", "probability": 0.9189453125}, {"start": 1035.01, "end": 1035.31, "word": " الـ", "probability": 0.707275390625}, {"start": 1035.31, "end": 1035.41, "word": " G", "probability": 0.491455078125}, {"start": 1035.41, "end": 1035.63, "word": " of", "probability": 0.90869140625}, {"start": 1035.63, "end": 1035.85, "word": " X", "probability": 0.99658203125}, {"start": 1035.85, "end": 1036.27, "word": " تبقى", "probability": 0.763641357421875}, {"start": 1036.27, "end": 1036.45, "word": " اللي", "probability": 0.477783203125}, {"start": 1036.45, "end": 1036.85, "word": " هتشين", "probability": 0.711883544921875}, {"start": 1036.85, "end": 1037.15, "word": " رول", "probability": 0.77197265625}, {"start": 1037.15, "end": 1037.87, "word": " بعد", "probability": 0.75341796875}, {"start": 1037.87, "end": 1038.37, "word": " هيك", "probability": 0.835693359375}, {"start": 1038.37, "end": 1038.79, "word": " اللي", "probability": 0.93798828125}, {"start": 1038.79, "end": 1039.27, "word": " أعملته", "probability": 0.643310546875}, {"start": 1039.27, "end": 1039.43, "word": " ل", "probability": 0.796875}, {"start": 1039.43, "end": 1039.73, "word": " G", "probability": 0.4560546875}, {"start": 1039.73, "end": 1040.43, "word": " بدي", "probability": 0.724365234375}, {"start": 1040.43, "end": 1040.89, "word": " أعمل", "probability": 0.9449869791666666}, {"start": 1040.89, "end": 1041.03, "word": " ل", "probability": 0.395751953125}, {"start": 1041.03, "end": 1041.29, "word": " H", "probability": 0.9091796875}, {"start": 1041.29, "end": 1042.07, "word": " بالضبط", "probability": 0.918701171875}, {"start": 1042.07, "end": 1042.77, "word": " تماما", "probability": 0.9954427083333334}, {"start": 1042.77, "end": 1043.29, "word": " بس", "probability": 0.6800537109375}, {"start": 1043.29, "end": 1044.09, "word": " بإشارة", "probability": 0.96904296875}, {"start": 1044.09, "end": 1045.09, "word": " سالف", "probability": 0.8606770833333334}, {"start": 1045.09, "end": 1046.95, "word": " يبقى", "probability": 0.7861328125}, {"start": 1046.95, "end": 1047.23, "word": " هذه", "probability": 0.59423828125}, {"start": 1047.23, "end": 1048.01, "word": " F", "probability": 0.438720703125}, {"start": 1048.01, "end": 1048.59, "word": " R", "probability": 0.491943359375}, {"start": 1048.59, "end": 1049.33, "word": " بنشيل", "probability": 0.7516276041666666}, {"start": 1049.33, "end": 1049.53, "word": " ال", "probability": 0.6474609375}, {"start": 1049.53, "end": 1049.67, "word": " T", "probability": 0.89306640625}, {"start": 1049.67, "end": 1049.77, "word": " و", "probability": 0.75390625}, {"start": 1049.77, "end": 1050.09, "word": " بنكتب", "probability": 0.93896484375}, {"start": 1050.09, "end": 1050.91, "word": " مكانها", "probability": 0.9871419270833334}, {"start": 1050.91, "end": 1052.05, "word": " G", "probability": 0.88720703125}, {"start": 1052.05, "end": 1052.79, "word": " of", "probability": 0.9453125}, {"start": 1052.79, "end": 1053.15, "word": " X", "probability": 0.9970703125}, {"start": 1053.15, "end": 1053.43, "word": " في", "probability": 0.79296875}, {"start": 1053.43, "end": 1054.37, "word": " مشتقة", "probability": 0.98583984375}, {"start": 1054.37, "end": 1054.95, "word": " الـ", "probability": 0.84423828125}, {"start": 1054.95, "end": 1055.13, "word": " G", "probability": 0.9287109375}, {"start": 1055.13, "end": 1056.65, "word": " of", "probability": 0.81640625}, {"start": 1056.65, "end": 1057.13, "word": " X", "probability": 0.99609375}], "temperature": 1.0}, {"id": 46, "seek": 108240, "start": 1057.5, "end": 1082.4, "text": "فبقى لـ h and o اللي عملناه للدالة اللى فوق بنعمله للدالة اللى تحت ماحدش أحسن من حد يبقى ال f لل h of x في ال h prime of x خلّي هذه المعلومة عندك درورى جدا و بدنا نطبقها على مين على السؤال بتاعنا", "tokens": [5172, 3555, 4587, 7578, 5296, 39184, 276, 293, 277, 13672, 1829, 6225, 42213, 8315, 3224, 24976, 3215, 6027, 3660, 13672, 7578, 6156, 30543, 44945, 25957, 43761, 24976, 3215, 6027, 3660, 13672, 7578, 6055, 33753, 19446, 24401, 8592, 5551, 5016, 3794, 1863, 9154, 11331, 3215, 7251, 3555, 4587, 7578, 2423, 283, 24976, 276, 295, 2031, 8978, 2423, 276, 5835, 295, 2031, 16490, 1211, 11703, 1829, 29538, 9673, 30241, 20498, 3660, 43242, 4117, 11778, 2288, 13063, 7578, 10874, 28259, 4032, 47525, 8315, 8717, 9566, 3555, 4587, 11296, 15844, 3714, 9957, 15844, 21136, 33604, 6027, 39894, 45761, 8315], "avg_logprob": -0.37467447730402154, "compression_ratio": 1.6598984771573604, "no_speech_prob": 0.0, "words": [{"start": 1057.5, "end": 1058.06, "word": "فبقى", "probability": 0.5821685791015625}, {"start": 1058.06, "end": 1058.34, "word": " لـ", "probability": 0.3128662109375}, {"start": 1058.34, "end": 1058.62, "word": " h", "probability": 0.111328125}, {"start": 1058.62, "end": 1059.22, "word": " and", "probability": 0.06756591796875}, {"start": 1059.22, "end": 1059.52, "word": " o", "probability": 0.412353515625}, {"start": 1059.52, "end": 1060.06, "word": " اللي", "probability": 0.5570068359375}, {"start": 1060.06, "end": 1060.6, "word": " عملناه", "probability": 0.8853759765625}, {"start": 1060.6, "end": 1061.06, "word": " للدالة", "probability": 0.65966796875}, {"start": 1061.06, "end": 1061.18, "word": " اللى", "probability": 0.77978515625}, {"start": 1061.18, "end": 1061.44, "word": " فوق", "probability": 0.96044921875}, {"start": 1061.44, "end": 1061.84, "word": " بنعمله", "probability": 0.71826171875}, {"start": 1061.84, "end": 1062.32, "word": " للدالة", "probability": 0.9808349609375}, {"start": 1062.32, "end": 1062.48, "word": " اللى", "probability": 0.687744140625}, {"start": 1062.48, "end": 1062.72, "word": " تحت", "probability": 0.990966796875}, {"start": 1062.72, "end": 1063.28, "word": " ماحدش", "probability": 0.7716471354166666}, {"start": 1063.28, "end": 1063.72, "word": " أحسن", "probability": 0.888916015625}, {"start": 1063.72, "end": 1063.9, "word": " من", "probability": 0.98828125}, {"start": 1063.9, "end": 1064.24, "word": " حد", "probability": 0.89697265625}, {"start": 1064.24, "end": 1065.12, "word": " يبقى", "probability": 0.9698486328125}, {"start": 1065.12, "end": 1065.26, "word": " ال", "probability": 0.740234375}, {"start": 1065.26, "end": 1065.66, "word": " f", "probability": 0.343505859375}, {"start": 1065.66, "end": 1066.38, "word": " لل", "probability": 0.7900390625}, {"start": 1066.38, "end": 1066.96, "word": " h", "probability": 0.4853515625}, {"start": 1066.96, "end": 1067.72, "word": " of", "probability": 0.88916015625}, {"start": 1067.72, "end": 1068.52, "word": " x", "probability": 0.92333984375}, {"start": 1068.52, "end": 1069.28, "word": " في", "probability": 0.84375}, {"start": 1069.28, "end": 1069.92, "word": " ال", "probability": 0.900390625}, {"start": 1069.92, "end": 1070.44, "word": " h", "probability": 0.634765625}, {"start": 1070.44, "end": 1071.64, "word": " prime", "probability": 0.7822265625}, {"start": 1071.64, "end": 1072.1, "word": " of", "probability": 0.9423828125}, {"start": 1072.1, "end": 1072.6, "word": " x", "probability": 0.94384765625}, {"start": 1072.6, "end": 1075.08, "word": " خلّي", "probability": 0.6761474609375}, {"start": 1075.08, "end": 1075.18, "word": " هذه", "probability": 0.33642578125}, {"start": 1075.18, "end": 1075.8, "word": " المعلومة", "probability": 0.9791259765625}, {"start": 1075.8, "end": 1076.28, "word": " عندك", "probability": 0.801025390625}, {"start": 1076.28, "end": 1078.2, "word": " درورى", "probability": 0.4849853515625}, {"start": 1078.2, "end": 1078.42, "word": " جدا", "probability": 0.957763671875}, {"start": 1078.42, "end": 1078.6, "word": " و", "probability": 0.90673828125}, {"start": 1078.6, "end": 1078.88, "word": " بدنا", "probability": 0.60693359375}, {"start": 1078.88, "end": 1080.04, "word": " نطبقها", "probability": 0.89091796875}, {"start": 1080.04, "end": 1080.26, "word": " على", "probability": 0.892578125}, {"start": 1080.26, "end": 1080.68, "word": " مين", "probability": 0.466796875}, {"start": 1080.68, "end": 1081.32, "word": " على", "probability": 0.63232421875}, {"start": 1081.32, "end": 1081.8, "word": " السؤال", "probability": 0.88427734375}, {"start": 1081.8, "end": 1082.4, "word": " بتاعنا", "probability": 0.9674479166666666}], "temperature": 1.0}, {"id": 47, "seek": 110291, "start": 1082.85, "end": 1102.91, "text": "إذا انا هشيل كل T و اكتب منها X تكييب لإن X تكييب كل هذا مضروب في G' يعني مشتقت من X تكييب", "tokens": [28814, 15730, 1975, 8315, 8032, 8592, 26895, 28242, 314, 4032, 1975, 4117, 2655, 3555, 9154, 11296, 1783, 6055, 4117, 1829, 1829, 3555, 5296, 28814, 1863, 1783, 6055, 4117, 1829, 1829, 3555, 28242, 23758, 3714, 11242, 32887, 3555, 8978, 460, 6, 37495, 22653, 37893, 2655, 38149, 9154, 1783, 6055, 4117, 1829, 1829, 3555], "avg_logprob": -0.3791273719859573, "compression_ratio": 1.4339622641509433, "no_speech_prob": 0.0, "words": [{"start": 1082.85, "end": 1083.17, "word": "إذا", "probability": 0.506256103515625}, {"start": 1083.17, "end": 1083.31, "word": " انا", "probability": 0.55352783203125}, {"start": 1083.31, "end": 1084.01, "word": " هشيل", "probability": 0.8421223958333334}, {"start": 1084.01, "end": 1084.67, "word": " كل", "probability": 0.96142578125}, {"start": 1084.67, "end": 1085.23, "word": " T", "probability": 0.66259765625}, {"start": 1085.23, "end": 1085.53, "word": " و", "probability": 0.86279296875}, {"start": 1085.53, "end": 1085.81, "word": " اكتب", "probability": 0.904052734375}, {"start": 1085.81, "end": 1086.15, "word": " منها", "probability": 0.778564453125}, {"start": 1086.15, "end": 1086.81, "word": " X", "probability": 0.24072265625}, {"start": 1086.81, "end": 1087.97, "word": " تكييب", "probability": 0.8833984375}, {"start": 1087.97, "end": 1093.73, "word": " لإن", "probability": 0.4996744791666667}, {"start": 1093.73, "end": 1094.37, "word": " X", "probability": 0.5927734375}, {"start": 1094.37, "end": 1095.05, "word": " تكييب", "probability": 0.97607421875}, {"start": 1095.05, "end": 1095.61, "word": " كل", "probability": 0.74951171875}, {"start": 1095.61, "end": 1096.15, "word": " هذا", "probability": 0.7900390625}, {"start": 1096.15, "end": 1097.47, "word": " مضروب", "probability": 0.9022216796875}, {"start": 1097.47, "end": 1097.85, "word": " في", "probability": 0.8193359375}, {"start": 1097.85, "end": 1099.11, "word": " G'", "probability": 0.3193359375}, {"start": 1099.73, "end": 1100.03, "word": " يعني", "probability": 0.841552734375}, {"start": 1100.03, "end": 1100.69, "word": " مشتقت", "probability": 0.7244466145833334}, {"start": 1100.69, "end": 1101.17, "word": " من", "probability": 0.97998046875}, {"start": 1101.17, "end": 1102.23, "word": " X", "probability": 0.8349609375}, {"start": 1102.23, "end": 1102.91, "word": " تكييب", "probability": 0.98662109375}], "temperature": 1.0}, {"id": 48, "seek": 113299, "start": 1105.83, "end": 1132.99, "text": "اللي عملناه لل X تكييب هنعمله لمين؟ لل X تربية يبقى ناقص X تربية لن X تربية في مشتقة ال X تربية لإتنين X هنعيد ترتيب المثل يبقى هذا بالصير تلاتة X أُس خمسة وهذه لن X تكييب اللي هي عبارة عن مين؟ تلاتة في لن X", "tokens": [6027, 20292, 6225, 42213, 8315, 3224, 24976, 1783, 6055, 4117, 1829, 1829, 3555, 8032, 1863, 25957, 43761, 32767, 9957, 22807, 24976, 1783, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 5296, 1863, 1783, 6055, 25513, 10632, 8978, 37893, 2655, 28671, 2423, 1783, 6055, 25513, 10632, 5296, 28814, 2655, 1863, 9957, 1783, 8032, 1863, 3615, 25708, 6055, 43500, 1829, 3555, 9673, 12984, 1211, 7251, 3555, 4587, 7578, 23758, 20666, 9381, 13546, 6055, 1211, 9307, 3660, 1783, 5551, 10859, 3794, 16490, 2304, 3794, 3660, 37037, 24192, 5296, 1863, 1783, 6055, 4117, 1829, 1829, 3555, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 22807, 6055, 1211, 9307, 3660, 8978, 5296, 1863, 1783], "avg_logprob": -0.19918592487062728, "compression_ratio": 2.005586592178771, "no_speech_prob": 0.0, "words": [{"start": 1105.83, "end": 1106.13, "word": "اللي", "probability": 0.447509765625}, {"start": 1106.13, "end": 1106.69, "word": " عملناه", "probability": 0.8648681640625}, {"start": 1106.69, "end": 1106.81, "word": " لل", "probability": 0.43212890625}, {"start": 1106.81, "end": 1107.03, "word": " X", "probability": 0.25146484375}, {"start": 1107.03, "end": 1107.43, "word": " تكييب", "probability": 0.95244140625}, {"start": 1107.43, "end": 1108.05, "word": " هنعمله", "probability": 0.806396484375}, {"start": 1108.05, "end": 1109.05, "word": " لمين؟", "probability": 0.638916015625}, {"start": 1109.05, "end": 1109.51, "word": " لل", "probability": 0.65380859375}, {"start": 1109.51, "end": 1109.89, "word": " X", "probability": 0.97509765625}, {"start": 1109.89, "end": 1110.29, "word": " تربية", "probability": 0.9200846354166666}, {"start": 1110.29, "end": 1110.71, "word": " يبقى", "probability": 0.92236328125}, {"start": 1110.71, "end": 1111.37, "word": " ناقص", "probability": 0.96484375}, {"start": 1111.37, "end": 1111.83, "word": " X", "probability": 0.95166015625}, {"start": 1111.83, "end": 1112.47, "word": " تربية", "probability": 0.9563802083333334}, {"start": 1112.47, "end": 1113.35, "word": " لن", "probability": 0.5762939453125}, {"start": 1113.35, "end": 1113.87, "word": " X", "probability": 0.99365234375}, {"start": 1113.87, "end": 1114.47, "word": " تربية", "probability": 0.9864908854166666}, {"start": 1114.47, "end": 1114.95, "word": " في", "probability": 0.53564453125}, {"start": 1114.95, "end": 1115.63, "word": " مشتقة", "probability": 0.9140625}, {"start": 1115.63, "end": 1115.91, "word": " ال", "probability": 0.4150390625}, {"start": 1115.91, "end": 1116.23, "word": " X", "probability": 0.94970703125}, {"start": 1116.23, "end": 1116.73, "word": " تربية", "probability": 0.9777018229166666}, {"start": 1116.73, "end": 1118.07, "word": " لإتنين", "probability": 0.778369140625}, {"start": 1118.07, "end": 1118.51, "word": " X", "probability": 0.97900390625}, {"start": 1118.51, "end": 1119.75, "word": " هنعيد", "probability": 0.8616943359375}, {"start": 1119.75, "end": 1120.25, "word": " ترتيب", "probability": 0.7845458984375}, {"start": 1120.25, "end": 1120.87, "word": " المثل", "probability": 0.8673502604166666}, {"start": 1120.87, "end": 1122.37, "word": " يبقى", "probability": 0.9803466796875}, {"start": 1122.37, "end": 1122.61, "word": " هذا", "probability": 0.70263671875}, {"start": 1122.61, "end": 1123.31, "word": " بالصير", "probability": 0.736083984375}, {"start": 1123.31, "end": 1124.87, "word": " تلاتة", "probability": 0.8885498046875}, {"start": 1124.87, "end": 1125.45, "word": " X", "probability": 0.97509765625}, {"start": 1125.45, "end": 1126.03, "word": " أُس", "probability": 0.5900065104166666}, {"start": 1126.03, "end": 1127.17, "word": " خمسة", "probability": 0.975341796875}, {"start": 1127.17, "end": 1128.05, "word": " وهذه", "probability": 0.72900390625}, {"start": 1128.05, "end": 1128.43, "word": " لن", "probability": 0.937255859375}, {"start": 1128.43, "end": 1128.81, "word": " X", "probability": 0.9951171875}, {"start": 1128.81, "end": 1129.49, "word": " تكييب", "probability": 0.99208984375}, {"start": 1129.49, "end": 1129.65, "word": " اللي", "probability": 0.64306640625}, {"start": 1129.65, "end": 1129.77, "word": " هي", "probability": 0.7294921875}, {"start": 1129.77, "end": 1130.09, "word": " عبارة", "probability": 0.928466796875}, {"start": 1130.09, "end": 1130.31, "word": " عن", "probability": 0.99072265625}, {"start": 1130.31, "end": 1130.81, "word": " مين؟", "probability": 0.7311197916666666}, {"start": 1130.81, "end": 1131.77, "word": " تلاتة", "probability": 0.9705810546875}, {"start": 1131.77, "end": 1131.99, "word": " في", "probability": 0.90576171875}, {"start": 1131.99, "end": 1132.51, "word": " لن", "probability": 0.990478515625}, {"start": 1132.51, "end": 1132.99, "word": " X", "probability": 0.61962890625}], "temperature": 1.0}, {"id": 49, "seek": 116179, "start": 1133.59, "end": 1161.79, "text": "خلاص ما منها هذه ناقص اتنين X تكييب في كذلك اتنين لن ال X يبقى بصير هذه تسعة X أس خمسة لن ال X ناقص اربعة X تكييب لن ال X يبقى هذا الجواب النهائي لمين لهذه الدالة طيب سؤال التامن", "tokens": [9778, 1211, 33546, 19446, 9154, 11296, 29538, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 1783, 6055, 4117, 1829, 1829, 3555, 8978, 9122, 8848, 23275, 1975, 2655, 1863, 9957, 5296, 1863, 2423, 1783, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 29538, 6055, 3794, 27884, 1783, 5551, 3794, 16490, 2304, 3794, 3660, 5296, 1863, 2423, 1783, 8717, 995, 4587, 9381, 1975, 25513, 27884, 1783, 6055, 4117, 1829, 1829, 3555, 5296, 1863, 2423, 1783, 7251, 3555, 4587, 7578, 23758, 25724, 14407, 3555, 28239, 3224, 16373, 1829, 32767, 9957, 46740, 24192, 32748, 6027, 3660, 23032, 1829, 3555, 8608, 33604, 6027, 16712, 10943, 1863], "avg_logprob": -0.1625928253230482, "compression_ratio": 1.901840490797546, "no_speech_prob": 0.0, "words": [{"start": 1133.59, "end": 1134.05, "word": "خلاص", "probability": 0.6767578125}, {"start": 1134.05, "end": 1134.21, "word": " ما", "probability": 0.4794921875}, {"start": 1134.21, "end": 1134.61, "word": " منها", "probability": 0.974853515625}, {"start": 1134.61, "end": 1135.67, "word": " هذه", "probability": 0.267822265625}, {"start": 1135.67, "end": 1136.45, "word": " ناقص", "probability": 0.8175048828125}, {"start": 1136.45, "end": 1137.41, "word": " اتنين", "probability": 0.94287109375}, {"start": 1137.41, "end": 1137.89, "word": " X", "probability": 0.49951171875}, {"start": 1137.89, "end": 1138.67, "word": " تكييب", "probability": 0.90244140625}, {"start": 1138.67, "end": 1139.29, "word": " في", "probability": 0.794921875}, {"start": 1139.29, "end": 1140.03, "word": " كذلك", "probability": 0.8937174479166666}, {"start": 1140.03, "end": 1141.11, "word": " اتنين", "probability": 0.9827880859375}, {"start": 1141.11, "end": 1141.89, "word": " لن", "probability": 0.920654296875}, {"start": 1141.89, "end": 1142.17, "word": " ال", "probability": 0.60546875}, {"start": 1142.17, "end": 1142.51, "word": " X", "probability": 0.84375}, {"start": 1142.51, "end": 1143.37, "word": " يبقى", "probability": 0.9598388671875}, {"start": 1143.37, "end": 1143.89, "word": " بصير", "probability": 0.8365885416666666}, {"start": 1143.89, "end": 1144.31, "word": " هذه", "probability": 0.8994140625}, {"start": 1144.31, "end": 1145.13, "word": " تسعة", "probability": 0.9669596354166666}, {"start": 1145.13, "end": 1145.69, "word": " X", "probability": 0.8955078125}, {"start": 1145.69, "end": 1146.15, "word": " أس", "probability": 0.65087890625}, {"start": 1146.15, "end": 1146.97, "word": " خمسة", "probability": 0.9769287109375}, {"start": 1146.97, "end": 1147.47, "word": " لن", "probability": 0.986083984375}, {"start": 1147.47, "end": 1147.73, "word": " ال", "probability": 0.72998046875}, {"start": 1147.73, "end": 1148.13, "word": " X", "probability": 0.99267578125}, {"start": 1148.13, "end": 1149.61, "word": " ناقص", "probability": 0.974365234375}, {"start": 1149.61, "end": 1150.51, "word": " اربعة", "probability": 0.7578938802083334}, {"start": 1150.51, "end": 1150.93, "word": " X", "probability": 0.98974609375}, {"start": 1150.93, "end": 1152.03, "word": " تكييب", "probability": 0.98896484375}, {"start": 1152.03, "end": 1152.85, "word": " لن", "probability": 0.898193359375}, {"start": 1152.85, "end": 1153.09, "word": " ال", "probability": 0.814453125}, {"start": 1153.09, "end": 1153.55, "word": " X", "probability": 0.9921875}, {"start": 1153.55, "end": 1154.39, "word": " يبقى", "probability": 0.9415283203125}, {"start": 1154.39, "end": 1154.65, "word": " هذا", "probability": 0.94970703125}, {"start": 1154.65, "end": 1155.05, "word": " الجواب", "probability": 0.9334309895833334}, {"start": 1155.05, "end": 1155.63, "word": " النهائي", "probability": 0.958740234375}, {"start": 1155.63, "end": 1156.19, "word": " لمين", "probability": 0.705078125}, {"start": 1156.19, "end": 1157.13, "word": " لهذه", "probability": 0.881591796875}, {"start": 1157.13, "end": 1158.05, "word": " الدالة", "probability": 0.6564534505208334}, {"start": 1158.05, "end": 1160.45, "word": " طيب", "probability": 0.9191080729166666}, {"start": 1160.45, "end": 1161.09, "word": " سؤال", "probability": 0.9290364583333334}, {"start": 1161.09, "end": 1161.79, "word": " التامن", "probability": 0.747802734375}], "temperature": 1.0}, {"id": 50, "seek": 117741, "start": 1163.21, "end": 1177.41, "text": "يقول لي Y تساوي X أُس تاني X أظن أول مرة أشوف سؤال بهذا الشكل", "tokens": [1829, 39648, 32239, 398, 6055, 3794, 995, 45865, 1783, 5551, 10859, 3794, 6055, 7649, 1829, 1783, 5551, 19913, 1863, 5551, 12610, 3714, 25720, 5551, 8592, 38688, 8608, 33604, 6027, 39627, 15730, 25124, 28820], "avg_logprob": -0.2686121437479468, "compression_ratio": 1.2352941176470589, "no_speech_prob": 0.0, "words": [{"start": 1163.21, "end": 1163.85, "word": "يقول", "probability": 0.6239013671875}, {"start": 1163.85, "end": 1164.05, "word": " لي", "probability": 0.61767578125}, {"start": 1164.05, "end": 1164.63, "word": " Y", "probability": 0.341552734375}, {"start": 1164.63, "end": 1165.57, "word": " تساوي", "probability": 0.760894775390625}, {"start": 1165.57, "end": 1166.43, "word": " X", "probability": 0.93505859375}, {"start": 1166.43, "end": 1167.35, "word": " أُس", "probability": 0.4990234375}, {"start": 1167.35, "end": 1168.15, "word": " تاني", "probability": 0.8982747395833334}, {"start": 1168.15, "end": 1168.63, "word": " X", "probability": 0.642578125}, {"start": 1168.63, "end": 1174.99, "word": " أظن", "probability": 0.83447265625}, {"start": 1174.99, "end": 1175.41, "word": " أول", "probability": 0.96240234375}, {"start": 1175.41, "end": 1175.75, "word": " مرة", "probability": 0.987548828125}, {"start": 1175.75, "end": 1176.11, "word": " أشوف", "probability": 0.81591796875}, {"start": 1176.11, "end": 1176.79, "word": " سؤال", "probability": 0.9866536458333334}, {"start": 1176.79, "end": 1177.11, "word": " بهذا", "probability": 0.591064453125}, {"start": 1177.11, "end": 1177.41, "word": " الشكل", "probability": 0.972900390625}], "temperature": 1.0}, {"id": 51, "seek": 120317, "start": 1178.55, "end": 1203.17, "text": "دائما وابدا في كل كنص A بيجينا نقول الأساس متغير والأس مقدار ثابت يعني بدنا مشتقة مثلا X تكيب X أس خمسة X ثربية زائد تلاتة إلى آخره دائما الأس ثابت والأساس متغير هنا الأساس متغير والأس كذلك متغير إذا من الآن فصاعدا", "tokens": [3215, 16373, 15042, 4032, 16758, 28259, 8978, 28242, 9122, 1863, 9381, 316, 4724, 1829, 7435, 1829, 8315, 8717, 39648, 16247, 3794, 32277, 44650, 17082, 13546, 16070, 10721, 3794, 3714, 28543, 9640, 38637, 16758, 2655, 37495, 22653, 47525, 8315, 37893, 2655, 28671, 50113, 15040, 1783, 6055, 4117, 1829, 3555, 1783, 5551, 3794, 16490, 2304, 3794, 3660, 1783, 38637, 25513, 10632, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 30731, 19753, 34740, 3224, 11778, 16373, 15042, 16247, 3794, 38637, 16758, 2655, 16070, 10721, 3794, 32277, 44650, 17082, 13546, 34105, 16247, 3794, 32277, 44650, 17082, 13546, 16070, 10721, 3794, 9122, 8848, 23275, 44650, 17082, 13546, 11933, 15730, 9154, 6024, 48506, 6156, 9381, 995, 22488, 995], "avg_logprob": -0.20926339365541935, "compression_ratio": 1.9690721649484537, "no_speech_prob": 0.0, "words": [{"start": 1178.55, "end": 1179.11, "word": "دائما", "probability": 0.6635335286458334}, {"start": 1179.11, "end": 1179.57, "word": " وابدا", "probability": 0.7919921875}, {"start": 1179.57, "end": 1179.77, "word": " في", "probability": 0.853515625}, {"start": 1179.77, "end": 1180.03, "word": " كل", "probability": 0.94140625}, {"start": 1180.03, "end": 1180.53, "word": " كنص", "probability": 0.60400390625}, {"start": 1180.53, "end": 1181.03, "word": " A", "probability": 0.34423828125}, {"start": 1181.03, "end": 1181.93, "word": " بيجينا", "probability": 0.73232421875}, {"start": 1181.93, "end": 1182.27, "word": " نقول", "probability": 0.985595703125}, {"start": 1182.27, "end": 1183.33, "word": " الأساس", "probability": 0.8611653645833334}, {"start": 1183.33, "end": 1184.31, "word": " متغير", "probability": 0.966796875}, {"start": 1184.31, "end": 1185.13, "word": " والأس", "probability": 0.77587890625}, {"start": 1185.13, "end": 1186.09, "word": " مقدار", "probability": 0.939453125}, {"start": 1186.09, "end": 1186.75, "word": " ثابت", "probability": 0.9923502604166666}, {"start": 1186.75, "end": 1187.19, "word": " يعني", "probability": 0.8076171875}, {"start": 1187.19, "end": 1187.45, "word": " بدنا", "probability": 0.5953369140625}, {"start": 1187.45, "end": 1187.97, "word": " مشتقة", "probability": 0.6358235677083334}, {"start": 1187.97, "end": 1188.35, "word": " مثلا", "probability": 0.983154296875}, {"start": 1188.35, "end": 1188.67, "word": " X", "probability": 0.7275390625}, {"start": 1188.67, "end": 1189.37, "word": " تكيب", "probability": 0.95751953125}, {"start": 1189.37, "end": 1189.67, "word": " X", "probability": 0.517578125}, {"start": 1189.67, "end": 1189.95, "word": " أس", "probability": 0.773681640625}, {"start": 1189.95, "end": 1190.65, "word": " خمسة", "probability": 0.9681396484375}, {"start": 1190.65, "end": 1191.13, "word": " X", "probability": 0.8984375}, {"start": 1191.13, "end": 1191.53, "word": " ثربية", "probability": 0.7478841145833334}, {"start": 1191.53, "end": 1191.99, "word": " زائد", "probability": 0.769287109375}, {"start": 1191.99, "end": 1192.53, "word": " تلاتة", "probability": 0.9527587890625}, {"start": 1192.53, "end": 1192.73, "word": " إلى", "probability": 0.4384765625}, {"start": 1192.73, "end": 1193.31, "word": " آخره", "probability": 0.7102864583333334}, {"start": 1193.31, "end": 1194.01, "word": " دائما", "probability": 0.9060872395833334}, {"start": 1194.01, "end": 1194.47, "word": " الأس", "probability": 0.8828125}, {"start": 1194.47, "end": 1194.91, "word": " ثابت", "probability": 0.994140625}, {"start": 1194.91, "end": 1195.49, "word": " والأساس", "probability": 0.9267578125}, {"start": 1195.49, "end": 1196.05, "word": " متغير", "probability": 0.9822591145833334}, {"start": 1196.05, "end": 1196.37, "word": " هنا", "probability": 0.79833984375}, {"start": 1196.37, "end": 1197.05, "word": " الأساس", "probability": 0.96533203125}, {"start": 1197.05, "end": 1197.95, "word": " متغير", "probability": 0.9744466145833334}, {"start": 1197.95, "end": 1199.31, "word": " والأس", "probability": 0.9557291666666666}, {"start": 1199.31, "end": 1200.07, "word": " كذلك", "probability": 0.9832356770833334}, {"start": 1200.07, "end": 1200.83, "word": " متغير", "probability": 0.9864908854166666}, {"start": 1200.83, "end": 1201.49, "word": " إذا", "probability": 0.4903564453125}, {"start": 1201.49, "end": 1201.71, "word": " من", "probability": 0.9765625}, {"start": 1201.71, "end": 1202.19, "word": " الآن", "probability": 0.7081298828125}, {"start": 1202.19, "end": 1203.17, "word": " فصاعدا", "probability": 0.9421875}], "temperature": 1.0}, {"id": 52, "seek": 122227, "start": 1203.39, "end": 1222.27, "text": "التكتيك اللى بدنا نتبعه عند حل هذا السؤال، بدك تتبعه عند حل أي سؤال مشابه، يعني أي سؤال الأساس تبقى متغير و الأس تبقى متغير، بدك تتعامله بنفس الطريقة اللى بدنا نعمل بها هذا السؤال طب إيش نعمل يا شباب؟", "tokens": [6027, 2655, 4117, 31371, 4117, 13672, 7578, 47525, 8315, 8717, 2655, 3555, 3615, 3224, 43242, 11331, 1211, 23758, 21136, 33604, 6027, 12399, 47525, 4117, 6055, 2655, 3555, 3615, 3224, 43242, 11331, 1211, 36632, 8608, 33604, 6027, 37893, 16758, 3224, 12399, 37495, 22653, 36632, 8608, 33604, 6027, 16247, 3794, 32277, 6055, 3555, 4587, 7578, 44650, 17082, 13546, 4032, 16247, 3794, 6055, 3555, 4587, 7578, 44650, 17082, 13546, 12399, 47525, 4117, 6055, 2655, 3615, 10943, 1211, 3224, 44945, 36178, 41950, 16572, 28671, 13672, 7578, 47525, 8315, 8717, 25957, 1211, 4724, 11296, 23758, 21136, 33604, 6027, 23032, 3555, 11933, 1829, 8592, 8717, 25957, 1211, 35186, 13412, 3555, 16758, 22807], "avg_logprob": -0.1585864502692891, "compression_ratio": 2.136094674556213, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1203.39, "end": 1204.31, "word": "التكتيك", "probability": 0.694921875}, {"start": 1204.31, "end": 1204.45, "word": " اللى", "probability": 0.875732421875}, {"start": 1204.45, "end": 1204.65, "word": " بدنا", "probability": 0.682861328125}, {"start": 1204.65, "end": 1205.05, "word": " نتبعه", "probability": 0.7666015625}, {"start": 1205.05, "end": 1205.21, "word": " عند", "probability": 0.96044921875}, {"start": 1205.21, "end": 1205.65, "word": " حل", "probability": 0.990966796875}, {"start": 1205.65, "end": 1206.03, "word": " هذا", "probability": 0.82470703125}, {"start": 1206.03, "end": 1207.13, "word": " السؤال،", "probability": 0.807220458984375}, {"start": 1207.13, "end": 1207.57, "word": " بدك", "probability": 0.93359375}, {"start": 1207.57, "end": 1208.09, "word": " تتبعه", "probability": 0.96865234375}, {"start": 1208.09, "end": 1208.21, "word": " عند", "probability": 0.98974609375}, {"start": 1208.21, "end": 1208.83, "word": " حل", "probability": 0.99658203125}, {"start": 1208.83, "end": 1209.23, "word": " أي", "probability": 0.60595703125}, {"start": 1209.23, "end": 1210.03, "word": " سؤال", "probability": 0.9970703125}, {"start": 1210.03, "end": 1211.01, "word": " مشابه،", "probability": 0.8839111328125}, {"start": 1211.01, "end": 1211.39, "word": " يعني", "probability": 0.8564453125}, {"start": 1211.39, "end": 1211.79, "word": " أي", "probability": 0.61376953125}, {"start": 1211.79, "end": 1212.51, "word": " سؤال", "probability": 0.9967447916666666}, {"start": 1212.51, "end": 1213.09, "word": " الأساس", "probability": 0.83349609375}, {"start": 1213.09, "end": 1213.47, "word": " تبقى", "probability": 0.934814453125}, {"start": 1213.47, "end": 1214.15, "word": " متغير", "probability": 0.9443359375}, {"start": 1214.15, "end": 1214.43, "word": " و", "probability": 0.4072265625}, {"start": 1214.43, "end": 1214.87, "word": " الأس", "probability": 0.642578125}, {"start": 1214.87, "end": 1215.27, "word": " تبقى", "probability": 0.9859619140625}, {"start": 1215.27, "end": 1216.13, "word": " متغير،", "probability": 0.925048828125}, {"start": 1216.13, "end": 1216.53, "word": " بدك", "probability": 0.960693359375}, {"start": 1216.53, "end": 1217.09, "word": " تتعامله", "probability": 0.7605387369791666}, {"start": 1217.09, "end": 1217.57, "word": " بنفس", "probability": 0.984375}, {"start": 1217.57, "end": 1218.15, "word": " الطريقة", "probability": 0.98876953125}, {"start": 1218.15, "end": 1218.31, "word": " اللى", "probability": 0.98681640625}, {"start": 1218.31, "end": 1218.57, "word": " بدنا", "probability": 0.946533203125}, {"start": 1218.57, "end": 1218.89, "word": " نعمل", "probability": 0.9578450520833334}, {"start": 1218.89, "end": 1219.17, "word": " بها", "probability": 0.700439453125}, {"start": 1219.17, "end": 1219.67, "word": " هذا", "probability": 0.96630859375}, {"start": 1219.67, "end": 1220.39, "word": " السؤال", "probability": 0.9947916666666666}, {"start": 1220.39, "end": 1221.03, "word": " طب", "probability": 0.74365234375}, {"start": 1221.03, "end": 1221.29, "word": " إيش", "probability": 0.7671712239583334}, {"start": 1221.29, "end": 1221.65, "word": " نعمل", "probability": 0.9814453125}, {"start": 1221.65, "end": 1221.75, "word": " يا", "probability": 0.982421875}, {"start": 1221.75, "end": 1222.27, "word": " شباب؟", "probability": 0.987548828125}], "temperature": 1.0}, {"id": 53, "seek": 123724, "start": 1224.18, "end": 1237.24, "text": "ناخد لن للطرفين يبقى بناجي أقول له هنا لن ال Y بدها تساوي لن X أس تاني X", "tokens": [1863, 47283, 3215, 5296, 1863, 24976, 9566, 28480, 9957, 7251, 3555, 4587, 7578, 4724, 8315, 7435, 1829, 5551, 39648, 46740, 34105, 5296, 1863, 2423, 398, 47525, 11296, 6055, 3794, 995, 45865, 5296, 1863, 1783, 5551, 3794, 6055, 7649, 1829, 1783], "avg_logprob": -0.34241615272149806, "compression_ratio": 1.3191489361702127, "no_speech_prob": 0.0, "words": [{"start": 1224.18, "end": 1224.88, "word": "ناخد", "probability": 0.6136881510416666}, {"start": 1224.88, "end": 1225.32, "word": " لن", "probability": 0.6502685546875}, {"start": 1225.32, "end": 1226.5, "word": " للطرفين", "probability": 0.9619140625}, {"start": 1226.5, "end": 1228.3, "word": " يبقى", "probability": 0.79132080078125}, {"start": 1228.3, "end": 1228.78, "word": " بناجي", "probability": 0.5987548828125}, {"start": 1228.78, "end": 1229.18, "word": " أقول", "probability": 0.58392333984375}, {"start": 1229.18, "end": 1229.36, "word": " له", "probability": 0.32861328125}, {"start": 1229.36, "end": 1229.8, "word": " هنا", "probability": 0.68994140625}, {"start": 1229.8, "end": 1231.06, "word": " لن", "probability": 0.85009765625}, {"start": 1231.06, "end": 1231.34, "word": " ال", "probability": 0.93359375}, {"start": 1231.34, "end": 1232.0, "word": " Y", "probability": 0.5078125}, {"start": 1232.0, "end": 1232.86, "word": " بدها", "probability": 0.816162109375}, {"start": 1232.86, "end": 1233.52, "word": " تساوي", "probability": 0.88623046875}, {"start": 1233.52, "end": 1234.48, "word": " لن", "probability": 0.925048828125}, {"start": 1234.48, "end": 1235.24, "word": " X", "probability": 0.97900390625}, {"start": 1235.24, "end": 1236.04, "word": " أس", "probability": 0.783935546875}, {"start": 1236.04, "end": 1236.82, "word": " تاني", "probability": 0.76513671875}, {"start": 1236.82, "end": 1237.24, "word": " X", "probability": 0.61474609375}], "temperature": 1.0}, {"id": 54, "seek": 126684, "start": 1238.71, "end": 1266.85, "text": "هذا بدي اعطيك ان لن ال Y يبقى يساوي تان ال X في لن ال X يبقى المسألة عندي أخدت شكلا جديدا غير الشكل تبعها المتعرف عليه تمام؟ يبقى مشتقة الطرفين بنا نيجي ل لن ال Y تعرف تشتق ل لن ال Y اسمع يا شباب", "tokens": [3224, 15730, 4724, 16254, 1975, 3615, 9566, 1829, 4117, 16472, 5296, 1863, 2423, 398, 7251, 3555, 4587, 7578, 7251, 3794, 995, 45865, 6055, 7649, 2423, 1783, 8978, 5296, 1863, 2423, 1783, 7251, 3555, 4587, 7578, 9673, 3794, 10721, 37977, 18871, 16254, 5551, 9778, 3215, 2655, 13412, 4117, 15040, 10874, 16254, 28259, 32771, 13546, 25124, 28820, 6055, 3555, 3615, 11296, 9673, 2655, 3615, 28480, 47356, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 37893, 2655, 28671, 41950, 28480, 9957, 4724, 8315, 8717, 1829, 7435, 1829, 5296, 5296, 1863, 2423, 398, 6055, 3615, 28480, 6055, 8592, 2655, 4587, 5296, 5296, 1863, 2423, 398, 24525, 2304, 3615, 35186, 13412, 3555, 16758], "avg_logprob": -0.23148147968782318, "compression_ratio": 1.8681318681318682, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1238.71, "end": 1239.17, "word": "هذا", "probability": 0.80859375}, {"start": 1239.17, "end": 1239.47, "word": " بدي", "probability": 0.264404296875}, {"start": 1239.47, "end": 1240.19, "word": " اعطيك", "probability": 0.79892578125}, {"start": 1240.19, "end": 1240.95, "word": " ان", "probability": 0.8271484375}, {"start": 1240.95, "end": 1241.53, "word": " لن", "probability": 0.79638671875}, {"start": 1241.53, "end": 1241.85, "word": " ال", "probability": 0.892578125}, {"start": 1241.85, "end": 1242.31, "word": " Y", "probability": 0.5751953125}, {"start": 1242.31, "end": 1246.71, "word": " يبقى", "probability": 0.693206787109375}, {"start": 1246.71, "end": 1247.49, "word": " يساوي", "probability": 0.8956298828125}, {"start": 1247.49, "end": 1248.07, "word": " تان", "probability": 0.802978515625}, {"start": 1248.07, "end": 1248.29, "word": " ال", "probability": 0.830078125}, {"start": 1248.29, "end": 1248.73, "word": " X", "probability": 0.96826171875}, {"start": 1248.73, "end": 1249.43, "word": " في", "probability": 0.4580078125}, {"start": 1249.43, "end": 1249.95, "word": " لن", "probability": 0.9912109375}, {"start": 1249.95, "end": 1250.27, "word": " ال", "probability": 0.86962890625}, {"start": 1250.27, "end": 1250.61, "word": " X", "probability": 0.98828125}, {"start": 1250.61, "end": 1251.39, "word": " يبقى", "probability": 0.9326171875}, {"start": 1251.39, "end": 1252.11, "word": " المسألة", "probability": 0.964111328125}, {"start": 1252.11, "end": 1252.55, "word": " عندي", "probability": 0.814697265625}, {"start": 1252.55, "end": 1253.33, "word": " أخدت", "probability": 0.76904296875}, {"start": 1253.33, "end": 1254.03, "word": " شكلا", "probability": 0.7840169270833334}, {"start": 1254.03, "end": 1254.85, "word": " جديدا", "probability": 0.8837890625}, {"start": 1254.85, "end": 1255.55, "word": " غير", "probability": 0.972900390625}, {"start": 1255.55, "end": 1256.03, "word": " الشكل", "probability": 0.92236328125}, {"start": 1256.03, "end": 1256.51, "word": " تبعها", "probability": 0.8590087890625}, {"start": 1256.51, "end": 1257.33, "word": " المتعرف", "probability": 0.915771484375}, {"start": 1257.33, "end": 1257.83, "word": " عليه", "probability": 0.89501953125}, {"start": 1257.83, "end": 1258.85, "word": " تمام؟", "probability": 0.6873372395833334}, {"start": 1258.85, "end": 1259.61, "word": " يبقى", "probability": 0.976318359375}, {"start": 1259.61, "end": 1260.43, "word": " مشتقة", "probability": 0.7377115885416666}, {"start": 1260.43, "end": 1261.15, "word": " الطرفين", "probability": 0.9599609375}, {"start": 1261.15, "end": 1261.41, "word": " بنا", "probability": 0.4580078125}, {"start": 1261.41, "end": 1261.75, "word": " نيجي", "probability": 0.866455078125}, {"start": 1261.75, "end": 1261.95, "word": " ل", "probability": 0.95166015625}, {"start": 1261.95, "end": 1262.39, "word": " لن", "probability": 0.908203125}, {"start": 1262.39, "end": 1262.65, "word": " ال", "probability": 0.95751953125}, {"start": 1262.65, "end": 1262.99, "word": " Y", "probability": 0.982421875}, {"start": 1262.99, "end": 1263.65, "word": " تعرف", "probability": 0.6918131510416666}, {"start": 1263.65, "end": 1264.27, "word": " تشتق", "probability": 0.949462890625}, {"start": 1264.27, "end": 1264.43, "word": " ل", "probability": 0.94775390625}, {"start": 1264.43, "end": 1264.71, "word": " لن", "probability": 0.745849609375}, {"start": 1264.71, "end": 1264.89, "word": " ال", "probability": 0.98681640625}, {"start": 1264.89, "end": 1265.25, "word": " Y", "probability": 0.98681640625}, {"start": 1265.25, "end": 1266.05, "word": " اسمع", "probability": 0.7495930989583334}, {"start": 1266.05, "end": 1266.17, "word": " يا", "probability": 0.7451171875}, {"start": 1266.17, "end": 1266.85, "word": " شباب", "probability": 0.990234375}], "temperature": 1.0}, {"id": 55, "seek": 128876, "start": 1267.34, "end": 1288.76, "text": "لأن ال Y بتعرف تشتقها 1 على Y بس قولنا لو كانت ال U دالة قبل الاشتقاق في X فإن مشتقة لأن ال U كتبتها قبل قليل هي 1 على U في دي U على دي X هنا Y دالة في X", "tokens": [1211, 33456, 2423, 398, 39894, 3615, 28480, 6055, 8592, 2655, 4587, 11296, 502, 15844, 398, 4724, 3794, 12174, 12610, 8315, 45164, 25961, 2655, 2423, 624, 11778, 6027, 3660, 12174, 36150, 2423, 33599, 2655, 4587, 995, 4587, 8978, 1783, 6156, 28814, 1863, 37893, 2655, 28671, 5296, 33456, 2423, 624, 9122, 2655, 3555, 2655, 11296, 12174, 36150, 12174, 20292, 1211, 39896, 502, 15844, 624, 8978, 11778, 1829, 624, 15844, 11778, 1829, 1783, 34105, 398, 11778, 6027, 3660, 8978, 1783], "avg_logprob": -0.22776441810986933, "compression_ratio": 1.7094594594594594, "no_speech_prob": 0.0, "words": [{"start": 1267.34, "end": 1267.84, "word": "لأن", "probability": 0.534423828125}, {"start": 1267.84, "end": 1268.0, "word": " ال", "probability": 0.77099609375}, {"start": 1268.0, "end": 1268.12, "word": " Y", "probability": 0.261962890625}, {"start": 1268.12, "end": 1268.46, "word": " بتعرف", "probability": 0.7215983072916666}, {"start": 1268.46, "end": 1269.26, "word": " تشتقها", "probability": 0.96162109375}, {"start": 1269.26, "end": 1270.16, "word": " 1", "probability": 0.374267578125}, {"start": 1270.16, "end": 1270.5, "word": " على", "probability": 0.48779296875}, {"start": 1270.5, "end": 1270.82, "word": " Y", "probability": 0.9619140625}, {"start": 1270.82, "end": 1271.7, "word": " بس", "probability": 0.806884765625}, {"start": 1271.7, "end": 1275.7, "word": " قولنا", "probability": 0.5484619140625}, {"start": 1275.7, "end": 1275.96, "word": " لو", "probability": 0.93994140625}, {"start": 1275.96, "end": 1276.62, "word": " كانت", "probability": 0.955322265625}, {"start": 1276.62, "end": 1276.8, "word": " ال", "probability": 0.9599609375}, {"start": 1276.8, "end": 1277.04, "word": " U", "probability": 0.9541015625}, {"start": 1277.04, "end": 1277.66, "word": " دالة", "probability": 0.690673828125}, {"start": 1277.66, "end": 1278.16, "word": " قبل", "probability": 0.836669921875}, {"start": 1278.16, "end": 1279.02, "word": " الاشتقاق", "probability": 0.9022623697916666}, {"start": 1279.02, "end": 1279.24, "word": " في", "probability": 0.95751953125}, {"start": 1279.24, "end": 1279.68, "word": " X", "probability": 0.9599609375}, {"start": 1279.68, "end": 1280.32, "word": " فإن", "probability": 0.7093912760416666}, {"start": 1280.32, "end": 1281.0, "word": " مشتقة", "probability": 0.9215494791666666}, {"start": 1281.0, "end": 1281.32, "word": " لأن", "probability": 0.730224609375}, {"start": 1281.32, "end": 1281.44, "word": " ال", "probability": 0.92724609375}, {"start": 1281.44, "end": 1281.56, "word": " U", "probability": 0.98779296875}, {"start": 1281.56, "end": 1282.14, "word": " كتبتها", "probability": 0.91767578125}, {"start": 1282.14, "end": 1282.58, "word": " قبل", "probability": 0.928466796875}, {"start": 1282.58, "end": 1283.04, "word": " قليل", "probability": 0.98291015625}, {"start": 1283.04, "end": 1283.2, "word": " هي", "probability": 0.75244140625}, {"start": 1283.2, "end": 1283.74, "word": " 1", "probability": 0.9296875}, {"start": 1283.74, "end": 1284.08, "word": " على", "probability": 0.81689453125}, {"start": 1284.08, "end": 1284.38, "word": " U", "probability": 0.96923828125}, {"start": 1284.38, "end": 1284.58, "word": " في", "probability": 0.8642578125}, {"start": 1284.58, "end": 1284.86, "word": " دي", "probability": 0.633056640625}, {"start": 1284.86, "end": 1285.18, "word": " U", "probability": 0.90771484375}, {"start": 1285.18, "end": 1285.94, "word": " على", "probability": 0.693359375}, {"start": 1285.94, "end": 1286.16, "word": " دي", "probability": 0.943115234375}, {"start": 1286.16, "end": 1286.32, "word": " X", "probability": 0.99365234375}, {"start": 1286.32, "end": 1286.7, "word": " هنا", "probability": 0.615234375}, {"start": 1286.7, "end": 1287.46, "word": " Y", "probability": 0.6923828125}, {"start": 1287.46, "end": 1288.2, "word": " دالة", "probability": 0.9918619791666666}, {"start": 1288.2, "end": 1288.38, "word": " في", "probability": 0.9892578125}, {"start": 1288.38, "end": 1288.76, "word": " X", "probability": 0.9970703125}], "temperature": 1.0}, {"id": 56, "seek": 130932, "start": 1289.2, "end": 1309.32, "text": "إذا مشتقت لي إن الـY هي 1 على Y دي Y على دي X أو Y'، ماشي، إذا الطرف الشمال لو جت اشتقه، بدي يكون 1 على Y في الـY' يستوي، الطرف اليمين حاصل ضرب دلتين", "tokens": [28814, 15730, 37893, 2655, 38149, 32239, 36145, 2423, 39184, 56, 39896, 502, 15844, 398, 11778, 1829, 398, 15844, 11778, 1829, 1783, 34051, 398, 6, 12399, 3714, 33599, 1829, 12399, 11933, 15730, 41950, 28480, 25124, 2304, 6027, 45164, 10874, 2655, 1975, 8592, 2655, 4587, 3224, 12399, 4724, 16254, 7251, 30544, 502, 15844, 398, 8978, 2423, 39184, 56, 6, 7251, 14851, 45865, 12399, 41950, 28480, 2423, 32640, 9957, 11331, 33546, 1211, 48812, 25513, 11778, 1211, 2655, 9957], "avg_logprob": -0.28824012138341604, "compression_ratio": 1.605095541401274, "no_speech_prob": 0.0, "words": [{"start": 1289.2, "end": 1289.46, "word": "إذا", "probability": 0.6431884765625}, {"start": 1289.46, "end": 1290.18, "word": " مشتقت", "probability": 0.7625325520833334}, {"start": 1290.18, "end": 1290.36, "word": " لي", "probability": 0.34814453125}, {"start": 1290.36, "end": 1290.52, "word": " إن", "probability": 0.400390625}, {"start": 1290.52, "end": 1290.88, "word": " الـY", "probability": 0.6402180989583334}, {"start": 1290.88, "end": 1291.36, "word": " هي", "probability": 0.88720703125}, {"start": 1291.36, "end": 1292.5, "word": " 1", "probability": 0.71630859375}, {"start": 1292.5, "end": 1292.88, "word": " على", "probability": 0.392333984375}, {"start": 1292.88, "end": 1293.38, "word": " Y", "probability": 0.94140625}, {"start": 1293.38, "end": 1294.06, "word": " دي", "probability": 0.55810546875}, {"start": 1294.06, "end": 1294.44, "word": " Y", "probability": 0.82080078125}, {"start": 1294.44, "end": 1294.68, "word": " على", "probability": 0.75537109375}, {"start": 1294.68, "end": 1294.9, "word": " دي", "probability": 0.85888671875}, {"start": 1294.9, "end": 1295.04, "word": " X", "probability": 0.84716796875}, {"start": 1295.04, "end": 1295.28, "word": " أو", "probability": 0.85986328125}, {"start": 1295.28, "end": 1295.5, "word": " Y", "probability": 0.97216796875}, {"start": 1295.5, "end": 1296.02, "word": "'،", "probability": 0.3309326171875}, {"start": 1296.02, "end": 1296.98, "word": " ماشي،", "probability": 0.6865234375}, {"start": 1296.98, "end": 1297.4, "word": " إذا", "probability": 0.916015625}, {"start": 1297.4, "end": 1297.9, "word": " الطرف", "probability": 0.8017578125}, {"start": 1297.9, "end": 1298.38, "word": " الشمال", "probability": 0.9645182291666666}, {"start": 1298.38, "end": 1298.6, "word": " لو", "probability": 0.94140625}, {"start": 1298.6, "end": 1298.84, "word": " جت", "probability": 0.701416015625}, {"start": 1298.84, "end": 1299.48, "word": " اشتقه،", "probability": 0.787353515625}, {"start": 1299.48, "end": 1299.72, "word": " بدي", "probability": 0.785888671875}, {"start": 1299.72, "end": 1300.12, "word": " يكون", "probability": 0.98095703125}, {"start": 1300.12, "end": 1300.72, "word": " 1", "probability": 0.81396484375}, {"start": 1300.72, "end": 1301.38, "word": " على", "probability": 0.9033203125}, {"start": 1301.38, "end": 1301.92, "word": " Y", "probability": 0.9970703125}, {"start": 1301.92, "end": 1302.52, "word": " في", "probability": 0.94384765625}, {"start": 1302.52, "end": 1303.0, "word": " الـY'", "probability": 0.9000651041666666}, {"start": 1303.44, "end": 1304.4, "word": " يستوي،", "probability": 0.64813232421875}, {"start": 1304.4, "end": 1304.98, "word": " الطرف", "probability": 0.990966796875}, {"start": 1304.98, "end": 1305.8, "word": " اليمين", "probability": 0.89306640625}, {"start": 1305.8, "end": 1307.14, "word": " حاصل", "probability": 0.9558919270833334}, {"start": 1307.14, "end": 1307.78, "word": " ضرب", "probability": 0.989013671875}, {"start": 1307.78, "end": 1309.32, "word": " دلتين", "probability": 0.850341796875}], "temperature": 1.0}, {"id": 57, "seek": 132953, "start": 1309.77, "end": 1329.53, "text": "يبقى الدالة الأولى في مشتقة الدالة الثانية، زائد الدالة الثانية في مشتقة الأولى، كدهش مشتقة التان؟ sector V، ماشي يلا موافقين، sector V على ال X", "tokens": [1829, 3555, 4587, 7578, 32748, 6027, 3660, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 6024, 104, 7649, 10632, 12399, 30767, 16373, 3215, 32748, 6027, 3660, 6024, 104, 7649, 10632, 8978, 37893, 2655, 28671, 16247, 12610, 7578, 12399, 9122, 3215, 3224, 8592, 37893, 2655, 28671, 16712, 7649, 22807, 6977, 691, 12399, 3714, 33599, 1829, 7251, 15040, 3714, 14407, 5172, 4587, 9957, 12399, 6977, 691, 15844, 2423, 1783], "avg_logprob": -0.22924107185431888, "compression_ratio": 1.8102189781021898, "no_speech_prob": 0.0, "words": [{"start": 1309.77, "end": 1310.47, "word": "يبقى", "probability": 0.8623046875}, {"start": 1310.47, "end": 1310.99, "word": " الدالة", "probability": 0.8566080729166666}, {"start": 1310.99, "end": 1312.11, "word": " الأولى", "probability": 0.9890950520833334}, {"start": 1312.11, "end": 1312.65, "word": " في", "probability": 0.87451171875}, {"start": 1312.65, "end": 1313.47, "word": " مشتقة", "probability": 0.9010416666666666}, {"start": 1313.47, "end": 1314.37, "word": " الدالة", "probability": 0.9908854166666666}, {"start": 1314.37, "end": 1315.27, "word": " الثانية،", "probability": 0.83828125}, {"start": 1315.27, "end": 1316.45, "word": " زائد", "probability": 0.8541666666666666}, {"start": 1316.45, "end": 1317.45, "word": " الدالة", "probability": 0.9918619791666666}, {"start": 1317.45, "end": 1318.35, "word": " الثانية", "probability": 0.9859619140625}, {"start": 1318.35, "end": 1318.91, "word": " في", "probability": 0.982421875}, {"start": 1318.91, "end": 1319.65, "word": " مشتقة", "probability": 0.9825846354166666}, {"start": 1319.65, "end": 1320.89, "word": " الأولى،", "probability": 0.912841796875}, {"start": 1320.89, "end": 1321.47, "word": " كدهش", "probability": 0.521240234375}, {"start": 1321.47, "end": 1322.11, "word": " مشتقة", "probability": 0.9650065104166666}, {"start": 1322.11, "end": 1323.55, "word": " التان؟", "probability": 0.7496744791666666}, {"start": 1323.55, "end": 1325.15, "word": " sector", "probability": 0.495361328125}, {"start": 1325.15, "end": 1325.77, "word": " V،", "probability": 0.40625}, {"start": 1325.77, "end": 1326.35, "word": " ماشي", "probability": 0.75537109375}, {"start": 1326.35, "end": 1326.63, "word": " يلا", "probability": 0.55615234375}, {"start": 1326.63, "end": 1327.79, "word": " موافقين،", "probability": 0.891357421875}, {"start": 1327.79, "end": 1328.49, "word": " sector", "probability": 0.94580078125}, {"start": 1328.49, "end": 1328.95, "word": " V", "probability": 0.9716796875}, {"start": 1328.95, "end": 1329.21, "word": " على", "probability": 0.37646484375}, {"start": 1329.21, "end": 1329.27, "word": " ال", "probability": 0.55712890625}, {"start": 1329.27, "end": 1329.53, "word": " X", "probability": 0.53759765625}], "temperature": 1.0}, {"id": 58, "seek": 135569, "start": 1330.59, "end": 1355.69, "text": "طيب انا بديش واحد على Y في ال Y prime بدي Y prime لحاله يبقى بروح بضرب الطرفين في مين؟ في ال Y يبقى هذا بدي اعطيلك ان Y prime يسوى Y في تان ال X على X زائد لن ال X في مين؟ في سكتر بيه ال X", "tokens": [9566, 1829, 3555, 1975, 8315, 4724, 16254, 8592, 36764, 24401, 15844, 398, 8978, 2423, 398, 5835, 4724, 16254, 398, 5835, 5296, 5016, 6027, 3224, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 11242, 25513, 41950, 28480, 9957, 8978, 3714, 9957, 22807, 8978, 2423, 398, 7251, 3555, 4587, 7578, 23758, 4724, 16254, 1975, 3615, 9566, 1829, 23275, 16472, 398, 5835, 7251, 3794, 2407, 7578, 398, 8978, 6055, 7649, 2423, 1783, 15844, 1783, 30767, 16373, 3215, 5296, 1863, 2423, 1783, 8978, 3714, 9957, 22807, 8978, 8608, 4117, 2655, 2288, 4724, 1829, 3224, 2423, 1783], "avg_logprob": -0.21622983230057582, "compression_ratio": 1.8475609756097562, "no_speech_prob": 0.0, "words": [{"start": 1330.59, "end": 1331.43, "word": "طيب", "probability": 0.703857421875}, {"start": 1331.43, "end": 1332.23, "word": " انا", "probability": 0.682861328125}, {"start": 1332.23, "end": 1332.65, "word": " بديش", "probability": 0.7116292317708334}, {"start": 1332.65, "end": 1332.97, "word": " واحد", "probability": 0.949462890625}, {"start": 1332.97, "end": 1333.13, "word": " على", "probability": 0.66552734375}, {"start": 1333.13, "end": 1333.35, "word": " Y", "probability": 0.37841796875}, {"start": 1333.35, "end": 1333.47, "word": " في", "probability": 0.869140625}, {"start": 1333.47, "end": 1333.57, "word": " ال", "probability": 0.88720703125}, {"start": 1333.57, "end": 1333.71, "word": " Y", "probability": 0.45947265625}, {"start": 1333.71, "end": 1333.99, "word": " prime", "probability": 0.30126953125}, {"start": 1333.99, "end": 1334.39, "word": " بدي", "probability": 0.801513671875}, {"start": 1334.39, "end": 1334.73, "word": " Y", "probability": 0.9501953125}, {"start": 1334.73, "end": 1335.25, "word": " prime", "probability": 0.73779296875}, {"start": 1335.25, "end": 1335.95, "word": " لحاله", "probability": 0.8834228515625}, {"start": 1335.95, "end": 1336.47, "word": " يبقى", "probability": 0.918212890625}, {"start": 1336.47, "end": 1336.83, "word": " بروح", "probability": 0.9186197916666666}, {"start": 1336.83, "end": 1337.23, "word": " بضرب", "probability": 0.7980143229166666}, {"start": 1337.23, "end": 1337.77, "word": " الطرفين", "probability": 0.9684244791666666}, {"start": 1337.77, "end": 1337.97, "word": " في", "probability": 0.962890625}, {"start": 1337.97, "end": 1338.41, "word": " مين؟", "probability": 0.7692057291666666}, {"start": 1338.41, "end": 1339.11, "word": " في", "probability": 0.96435546875}, {"start": 1339.11, "end": 1339.47, "word": " ال", "probability": 0.90576171875}, {"start": 1339.47, "end": 1339.85, "word": " Y", "probability": 0.982421875}, {"start": 1339.85, "end": 1340.71, "word": " يبقى", "probability": 0.964111328125}, {"start": 1340.71, "end": 1340.97, "word": " هذا", "probability": 0.89990234375}, {"start": 1340.97, "end": 1341.35, "word": " بدي", "probability": 0.9033203125}, {"start": 1341.35, "end": 1341.87, "word": " اعطيلك", "probability": 0.78271484375}, {"start": 1341.87, "end": 1342.11, "word": " ان", "probability": 0.9033203125}, {"start": 1342.11, "end": 1342.59, "word": " Y", "probability": 0.9267578125}, {"start": 1342.59, "end": 1343.35, "word": " prime", "probability": 0.66748046875}, {"start": 1343.35, "end": 1344.55, "word": " يسوى", "probability": 0.7481689453125}, {"start": 1344.55, "end": 1345.27, "word": " Y", "probability": 0.982421875}, {"start": 1345.27, "end": 1346.05, "word": " في", "probability": 0.6728515625}, {"start": 1346.05, "end": 1346.53, "word": " تان", "probability": 0.95458984375}, {"start": 1346.53, "end": 1346.83, "word": " ال", "probability": 0.73046875}, {"start": 1346.83, "end": 1347.31, "word": " X", "probability": 0.9609375}, {"start": 1347.31, "end": 1348.33, "word": " على", "probability": 0.734375}, {"start": 1348.33, "end": 1349.05, "word": " X", "probability": 0.9833984375}, {"start": 1349.05, "end": 1350.41, "word": " زائد", "probability": 0.8308919270833334}, {"start": 1350.41, "end": 1351.55, "word": " لن", "probability": 0.781005859375}, {"start": 1351.55, "end": 1351.87, "word": " ال", "probability": 0.66796875}, {"start": 1351.87, "end": 1352.35, "word": " X", "probability": 0.982421875}, {"start": 1352.35, "end": 1352.91, "word": " في", "probability": 0.978515625}, {"start": 1352.91, "end": 1353.75, "word": " مين؟", "probability": 0.87939453125}, {"start": 1353.75, "end": 1353.93, "word": " في", "probability": 0.93798828125}, {"start": 1353.93, "end": 1354.77, "word": " سكتر", "probability": 0.8603515625}, {"start": 1354.77, "end": 1355.21, "word": " بيه", "probability": 0.91455078125}, {"start": 1355.21, "end": 1355.43, "word": " ال", "probability": 0.880859375}, {"start": 1355.43, "end": 1355.69, "word": " X", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 59, "seek": 137869, "start": 1356.61, "end": 1378.69, "text": "الجواب مزوج، في لونين من المتغيرات، إيش X وإيش Y، بدي الـ Shake بتخليه ليه كله لون واحد، يعني أنا بدي المشتقة للـ Y بدلالة من؟ بدلالة X، إذا بقدر أشير Y هادي و أحط قيمته اللي هي من راس المسألة اللي موجودة عندنا", "tokens": [6027, 7435, 14407, 3555, 3714, 11622, 29245, 12399, 8978, 5296, 11536, 9957, 9154, 9673, 2655, 17082, 13546, 9307, 12399, 11933, 1829, 8592, 1783, 4032, 28814, 1829, 8592, 398, 12399, 4724, 16254, 2423, 39184, 27809, 39894, 9778, 20292, 3224, 32239, 3224, 28242, 3224, 5296, 11536, 36764, 24401, 12399, 37495, 22653, 41850, 4724, 16254, 9673, 8592, 2655, 28671, 24976, 39184, 398, 4724, 3215, 1211, 6027, 3660, 9154, 22807, 47525, 1211, 6027, 3660, 1783, 12399, 11933, 15730, 4724, 28543, 2288, 5551, 8592, 13546, 398, 8032, 995, 16254, 4032, 5551, 5016, 9566, 12174, 32640, 47395, 13672, 1829, 39896, 9154, 12602, 32277, 9673, 3794, 10721, 37977, 13672, 1829, 3714, 29245, 23328, 3660, 43242, 8315], "avg_logprob": -0.29715910228815945, "compression_ratio": 1.7149532710280373, "no_speech_prob": 0.0, "words": [{"start": 1356.61, "end": 1357.49, "word": "الجواب", "probability": 0.5797119140625}, {"start": 1357.49, "end": 1358.19, "word": " مزوج،", "probability": 0.616119384765625}, {"start": 1358.19, "end": 1358.29, "word": " في", "probability": 0.69189453125}, {"start": 1358.29, "end": 1358.87, "word": " لونين", "probability": 0.92919921875}, {"start": 1358.87, "end": 1359.15, "word": " من", "probability": 0.9189453125}, {"start": 1359.15, "end": 1360.57, "word": " المتغيرات،", "probability": 0.8662516276041666}, {"start": 1360.57, "end": 1360.93, "word": " إيش", "probability": 0.5881754557291666}, {"start": 1360.93, "end": 1361.27, "word": " X", "probability": 0.73046875}, {"start": 1361.27, "end": 1361.77, "word": " وإيش", "probability": 0.90673828125}, {"start": 1361.77, "end": 1362.45, "word": " Y،", "probability": 0.625}, {"start": 1362.45, "end": 1362.79, "word": " بدي", "probability": 0.59197998046875}, {"start": 1362.79, "end": 1362.93, "word": " الـ", "probability": 0.4996337890625}, {"start": 1362.93, "end": 1363.19, "word": " Shake", "probability": 0.410888671875}, {"start": 1363.19, "end": 1364.03, "word": " بتخليه", "probability": 0.70599365234375}, {"start": 1364.03, "end": 1364.23, "word": " ليه", "probability": 0.5423583984375}, {"start": 1364.23, "end": 1364.69, "word": " كله", "probability": 0.93408203125}, {"start": 1364.69, "end": 1364.95, "word": " لون", "probability": 0.970703125}, {"start": 1364.95, "end": 1365.77, "word": " واحد،", "probability": 0.8753255208333334}, {"start": 1365.77, "end": 1366.07, "word": " يعني", "probability": 0.945068359375}, {"start": 1366.07, "end": 1366.43, "word": " أنا", "probability": 0.8271484375}, {"start": 1366.43, "end": 1366.83, "word": " بدي", "probability": 0.755615234375}, {"start": 1366.83, "end": 1367.65, "word": " المشتقة", "probability": 0.9383544921875}, {"start": 1367.65, "end": 1368.05, "word": " للـ", "probability": 0.779052734375}, {"start": 1368.05, "end": 1368.21, "word": " Y", "probability": 0.56689453125}, {"start": 1368.21, "end": 1368.95, "word": " بدلالة", "probability": 0.86923828125}, {"start": 1368.95, "end": 1369.67, "word": " من؟", "probability": 0.6337890625}, {"start": 1369.67, "end": 1370.29, "word": " بدلالة", "probability": 0.8939208984375}, {"start": 1370.29, "end": 1370.99, "word": " X،", "probability": 0.823486328125}, {"start": 1370.99, "end": 1371.21, "word": " إذا", "probability": 0.89453125}, {"start": 1371.21, "end": 1371.71, "word": " بقدر", "probability": 0.9352213541666666}, {"start": 1371.71, "end": 1372.21, "word": " أشير", "probability": 0.8723958333333334}, {"start": 1372.21, "end": 1372.57, "word": " Y", "probability": 0.94873046875}, {"start": 1372.57, "end": 1373.09, "word": " هادي", "probability": 0.8292643229166666}, {"start": 1373.09, "end": 1373.61, "word": " و", "probability": 0.67333984375}, {"start": 1373.61, "end": 1374.03, "word": " أحط", "probability": 0.70947265625}, {"start": 1374.03, "end": 1374.51, "word": " قيمته", "probability": 0.5921223958333334}, {"start": 1374.51, "end": 1374.67, "word": " اللي", "probability": 0.797119140625}, {"start": 1374.67, "end": 1374.85, "word": " هي", "probability": 0.8203125}, {"start": 1374.85, "end": 1375.31, "word": " من", "probability": 0.669921875}, {"start": 1375.31, "end": 1376.49, "word": " راس", "probability": 0.5340576171875}, {"start": 1376.49, "end": 1377.45, "word": " المسألة", "probability": 0.9774169921875}, {"start": 1377.45, "end": 1377.65, "word": " اللي", "probability": 0.9501953125}, {"start": 1377.65, "end": 1378.23, "word": " موجودة", "probability": 0.939208984375}, {"start": 1378.23, "end": 1378.69, "word": " عندنا", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 60, "seek": 140365, "start": 1379.29, "end": 1403.65, "text": "طيب يبقى بناء اللي عليه البصير عندي ال Y Prime يسوى X أُس تاني ال X في مين؟ في تاني ال X على X زائد لن ال X في سكتر بال X طيب خُلي سؤال تسعة", "tokens": [9566, 1829, 3555, 7251, 3555, 4587, 7578, 44945, 16606, 13672, 1829, 47356, 29739, 9381, 13546, 18871, 16254, 2423, 398, 9655, 7251, 3794, 2407, 7578, 1783, 5551, 10859, 3794, 6055, 7649, 1829, 2423, 1783, 8978, 3714, 9957, 22807, 8978, 6055, 7649, 1829, 2423, 1783, 15844, 1783, 30767, 16373, 3215, 5296, 1863, 2423, 1783, 8978, 8608, 4117, 2655, 2288, 20666, 1783, 23032, 1829, 3555, 16490, 10859, 20292, 8608, 33604, 6027, 6055, 3794, 27884], "avg_logprob": -0.2771267460452186, "compression_ratio": 1.5430463576158941, "no_speech_prob": 0.0, "words": [{"start": 1379.29, "end": 1379.75, "word": "طيب", "probability": 0.8297526041666666}, {"start": 1379.75, "end": 1380.13, "word": " يبقى", "probability": 0.946533203125}, {"start": 1380.13, "end": 1380.47, "word": " بناء", "probability": 0.7379150390625}, {"start": 1380.47, "end": 1380.65, "word": " اللي", "probability": 0.53167724609375}, {"start": 1380.65, "end": 1380.79, "word": " عليه", "probability": 0.6484375}, {"start": 1380.79, "end": 1381.23, "word": " البصير", "probability": 0.7825520833333334}, {"start": 1381.23, "end": 1381.67, "word": " عندي", "probability": 0.6319580078125}, {"start": 1381.67, "end": 1381.87, "word": " ال", "probability": 0.94873046875}, {"start": 1381.87, "end": 1382.27, "word": " Y", "probability": 0.50927734375}, {"start": 1382.27, "end": 1382.89, "word": " Prime", "probability": 0.2666015625}, {"start": 1382.89, "end": 1383.89, "word": " يسوى", "probability": 0.8006591796875}, {"start": 1383.89, "end": 1384.35, "word": " X", "probability": 0.95703125}, {"start": 1384.35, "end": 1385.03, "word": " أُس", "probability": 0.7195638020833334}, {"start": 1385.03, "end": 1385.85, "word": " تاني", "probability": 0.8466796875}, {"start": 1385.85, "end": 1386.03, "word": " ال", "probability": 0.744140625}, {"start": 1386.03, "end": 1386.65, "word": " X", "probability": 0.94482421875}, {"start": 1386.65, "end": 1387.23, "word": " في", "probability": 0.7255859375}, {"start": 1387.23, "end": 1387.83, "word": " مين؟", "probability": 0.8107096354166666}, {"start": 1387.83, "end": 1387.99, "word": " في", "probability": 0.89501953125}, {"start": 1387.99, "end": 1388.81, "word": " تاني", "probability": 0.99169921875}, {"start": 1388.81, "end": 1389.05, "word": " ال", "probability": 0.9462890625}, {"start": 1389.05, "end": 1389.57, "word": " X", "probability": 0.99462890625}, {"start": 1389.57, "end": 1390.77, "word": " على", "probability": 0.74560546875}, {"start": 1390.77, "end": 1391.75, "word": " X", "probability": 0.9853515625}, {"start": 1391.75, "end": 1393.01, "word": " زائد", "probability": 0.8976236979166666}, {"start": 1393.01, "end": 1393.97, "word": " لن", "probability": 0.5797119140625}, {"start": 1393.97, "end": 1394.25, "word": " ال", "probability": 0.7958984375}, {"start": 1394.25, "end": 1394.73, "word": " X", "probability": 0.9814453125}, {"start": 1394.73, "end": 1395.41, "word": " في", "probability": 0.97802734375}, {"start": 1395.41, "end": 1396.27, "word": " سكتر", "probability": 0.838134765625}, {"start": 1396.27, "end": 1396.93, "word": " بال", "probability": 0.69482421875}, {"start": 1396.93, "end": 1397.59, "word": " X", "probability": 0.54150390625}, {"start": 1397.59, "end": 1402.11, "word": " طيب", "probability": 0.9474283854166666}, {"start": 1402.11, "end": 1402.81, "word": " خُلي", "probability": 0.520751953125}, {"start": 1402.81, "end": 1403.21, "word": " سؤال", "probability": 0.9016927083333334}, {"start": 1403.21, "end": 1403.65, "word": " تسعة", "probability": 0.8069661458333334}], "temperature": 1.0}, {"id": 61, "seek": 142573, "start": 1405.45, "end": 1425.73, "text": "هذا السؤال كان اشتقاق صريح ال Y في شجة وال X في شجة تانية خلّيني ناخد اشتقاق ضمني فلو جيت قلت لك اتنين Y أس X مثلا تساوي ال X أس Y ترمية", "tokens": [3224, 15730, 21136, 33604, 6027, 25961, 1975, 8592, 2655, 4587, 995, 4587, 20328, 16572, 5016, 2423, 398, 8978, 13412, 7435, 3660, 16070, 1783, 8978, 13412, 7435, 3660, 6055, 7649, 10632, 16490, 1211, 11703, 9957, 1829, 8717, 47283, 3215, 1975, 8592, 2655, 4587, 995, 4587, 48812, 27842, 1829, 6156, 1211, 2407, 10874, 36081, 12174, 1211, 2655, 5296, 4117, 1975, 2655, 1863, 9957, 398, 5551, 3794, 1783, 50113, 15040, 6055, 3794, 995, 45865, 2423, 1783, 5551, 3794, 398, 6055, 2288, 2304, 10632], "avg_logprob": -0.19251543798564394, "compression_ratio": 1.6363636363636365, "no_speech_prob": 0.0, "words": [{"start": 1405.45, "end": 1405.89, "word": "هذا", "probability": 0.829833984375}, {"start": 1405.89, "end": 1406.67, "word": " السؤال", "probability": 0.9814453125}, {"start": 1406.67, "end": 1407.35, "word": " كان", "probability": 0.9775390625}, {"start": 1407.35, "end": 1408.11, "word": " اشتقاق", "probability": 0.9439290364583334}, {"start": 1408.11, "end": 1409.11, "word": " صريح", "probability": 0.9879557291666666}, {"start": 1409.11, "end": 1409.87, "word": " ال", "probability": 0.87109375}, {"start": 1409.87, "end": 1410.11, "word": " Y", "probability": 0.55615234375}, {"start": 1410.11, "end": 1410.31, "word": " في", "probability": 0.953125}, {"start": 1410.31, "end": 1410.71, "word": " شجة", "probability": 0.72607421875}, {"start": 1410.71, "end": 1410.89, "word": " وال", "probability": 0.293701171875}, {"start": 1410.89, "end": 1411.15, "word": " X", "probability": 0.8544921875}, {"start": 1411.15, "end": 1411.41, "word": " في", "probability": 0.95166015625}, {"start": 1411.41, "end": 1411.89, "word": " شجة", "probability": 0.9943033854166666}, {"start": 1411.89, "end": 1412.45, "word": " تانية", "probability": 0.95849609375}, {"start": 1412.45, "end": 1413.37, "word": " خلّيني", "probability": 0.7443359375}, {"start": 1413.37, "end": 1413.73, "word": " ناخد", "probability": 0.81591796875}, {"start": 1413.73, "end": 1414.37, "word": " اشتقاق", "probability": 0.9789225260416666}, {"start": 1414.37, "end": 1415.17, "word": " ضمني", "probability": 0.784423828125}, {"start": 1415.17, "end": 1415.85, "word": " فلو", "probability": 0.9259440104166666}, {"start": 1415.85, "end": 1416.13, "word": " جيت", "probability": 0.6376953125}, {"start": 1416.13, "end": 1416.55, "word": " قلت", "probability": 0.658935546875}, {"start": 1416.55, "end": 1416.83, "word": " لك", "probability": 0.822509765625}, {"start": 1416.83, "end": 1418.07, "word": " اتنين", "probability": 0.8917236328125}, {"start": 1418.07, "end": 1418.55, "word": " Y", "probability": 0.9755859375}, {"start": 1418.55, "end": 1419.83, "word": " أس", "probability": 0.483154296875}, {"start": 1419.83, "end": 1420.45, "word": " X", "probability": 0.97216796875}, {"start": 1420.45, "end": 1421.19, "word": " مثلا", "probability": 0.986083984375}, {"start": 1421.19, "end": 1422.71, "word": " تساوي", "probability": 0.9532470703125}, {"start": 1422.71, "end": 1423.45, "word": " ال", "probability": 0.8046875}, {"start": 1423.45, "end": 1424.07, "word": " X", "probability": 0.96337890625}, {"start": 1424.07, "end": 1424.83, "word": " أس", "probability": 0.94873046875}, {"start": 1424.83, "end": 1425.27, "word": " Y", "probability": 0.98583984375}, {"start": 1425.27, "end": 1425.73, "word": " ترمية", "probability": 0.66436767578125}], "temperature": 1.0}, {"id": 62, "seek": 145883, "start": 1430.67, "end": 1458.83, "text": "مش قادر اخل ال Y في الشجة و ال X في الشجة يبقى هذا اشتقاقيا ضمنى لكن مادام ضمنى بسط المثل بعدين يروح يشتق مظبوط يبقى زي ما عملنا فوق بدنا نعمل في هذا السوان بناخد لن للطرفين إذا لو أخدنا لن للطرفين هذا ايش بيعطيلك X فلن اتنين Y يساوي Y ترابية فلن X", "tokens": [2304, 8592, 12174, 18513, 2288, 1975, 9778, 1211, 2423, 398, 8978, 25124, 7435, 3660, 4032, 2423, 1783, 8978, 25124, 7435, 3660, 7251, 3555, 4587, 7578, 23758, 1975, 8592, 2655, 4587, 995, 4587, 25528, 48812, 27842, 7578, 44381, 3714, 18513, 10943, 48812, 27842, 7578, 4724, 3794, 9566, 9673, 12984, 1211, 39182, 9957, 7251, 32887, 5016, 7251, 8592, 2655, 4587, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 30767, 1829, 19446, 6225, 42213, 8315, 6156, 30543, 47525, 8315, 8717, 25957, 1211, 8978, 23758, 21136, 2407, 7649, 44945, 47283, 3215, 5296, 1863, 24976, 9566, 28480, 9957, 11933, 15730, 45164, 5551, 9778, 3215, 8315, 5296, 1863, 24976, 9566, 28480, 9957, 23758, 1975, 1829, 8592, 4724, 40228, 9566, 1829, 23275, 1783, 6156, 1211, 1863, 1975, 2655, 1863, 9957, 398, 7251, 3794, 995, 45865, 398, 6055, 2288, 16758, 10632, 6156, 1211, 1863, 1783], "avg_logprob": -0.2576438900378111, "compression_ratio": 1.920704845814978, "no_speech_prob": 0.0, "words": [{"start": 1430.67, "end": 1431.63, "word": "مش", "probability": 0.40740966796875}, {"start": 1431.63, "end": 1432.11, "word": " قادر", "probability": 0.770751953125}, {"start": 1432.11, "end": 1432.49, "word": " اخل", "probability": 0.6417643229166666}, {"start": 1432.49, "end": 1432.61, "word": " ال", "probability": 0.41064453125}, {"start": 1432.61, "end": 1432.77, "word": " Y", "probability": 0.39208984375}, {"start": 1432.77, "end": 1432.99, "word": " في", "probability": 0.9423828125}, {"start": 1432.99, "end": 1433.39, "word": " الشجة", "probability": 0.8704427083333334}, {"start": 1433.39, "end": 1433.55, "word": " و", "probability": 0.6181640625}, {"start": 1433.55, "end": 1433.65, "word": " ال", "probability": 0.56689453125}, {"start": 1433.65, "end": 1433.81, "word": " X", "probability": 0.939453125}, {"start": 1433.81, "end": 1434.03, "word": " في", "probability": 0.95703125}, {"start": 1434.03, "end": 1434.33, "word": " الشجة", "probability": 0.9822591145833334}, {"start": 1434.33, "end": 1434.57, "word": " يبقى", "probability": 0.8680419921875}, {"start": 1434.57, "end": 1434.77, "word": " هذا", "probability": 0.55859375}, {"start": 1434.77, "end": 1435.51, "word": " اشتقاقيا", "probability": 0.8057163783482143}, {"start": 1435.51, "end": 1436.35, "word": " ضمنى", "probability": 0.7488606770833334}, {"start": 1436.35, "end": 1437.33, "word": " لكن", "probability": 0.5859375}, {"start": 1437.33, "end": 1437.77, "word": " مادام", "probability": 0.5525716145833334}, {"start": 1437.77, "end": 1438.51, "word": " ضمنى", "probability": 0.97265625}, {"start": 1438.51, "end": 1439.27, "word": " بسط", "probability": 0.9178059895833334}, {"start": 1439.27, "end": 1439.73, "word": " المثل", "probability": 0.7430013020833334}, {"start": 1439.73, "end": 1440.09, "word": " بعدين", "probability": 0.5546875}, {"start": 1440.09, "end": 1440.33, "word": " يروح", "probability": 0.9454752604166666}, {"start": 1440.33, "end": 1440.73, "word": " يشتق", "probability": 0.895263671875}, {"start": 1440.73, "end": 1441.89, "word": " مظبوط", "probability": 0.8625}, {"start": 1441.89, "end": 1442.65, "word": " يبقى", "probability": 0.908203125}, {"start": 1442.65, "end": 1443.01, "word": " زي", "probability": 0.93701171875}, {"start": 1443.01, "end": 1443.21, "word": " ما", "probability": 0.974609375}, {"start": 1443.21, "end": 1443.87, "word": " عملنا", "probability": 0.98486328125}, {"start": 1443.87, "end": 1444.45, "word": " فوق", "probability": 0.9560546875}, {"start": 1444.45, "end": 1444.75, "word": " بدنا", "probability": 0.5391845703125}, {"start": 1444.75, "end": 1445.09, "word": " نعمل", "probability": 0.9881184895833334}, {"start": 1445.09, "end": 1445.21, "word": " في", "probability": 0.931640625}, {"start": 1445.21, "end": 1445.39, "word": " هذا", "probability": 0.95703125}, {"start": 1445.39, "end": 1445.61, "word": " السوان", "probability": 0.4847819010416667}, {"start": 1445.61, "end": 1446.17, "word": " بناخد", "probability": 0.7731119791666666}, {"start": 1446.17, "end": 1446.77, "word": " لن", "probability": 0.7314453125}, {"start": 1446.77, "end": 1447.99, "word": " للطرفين", "probability": 0.902587890625}, {"start": 1447.99, "end": 1448.83, "word": " إذا", "probability": 0.8037109375}, {"start": 1448.83, "end": 1449.07, "word": " لو", "probability": 0.96875}, {"start": 1449.07, "end": 1449.63, "word": " أخدنا", "probability": 0.967529296875}, {"start": 1449.63, "end": 1450.11, "word": " لن", "probability": 0.97802734375}, {"start": 1450.11, "end": 1450.95, "word": " للطرفين", "probability": 0.97021484375}, {"start": 1450.95, "end": 1451.19, "word": " هذا", "probability": 0.60791015625}, {"start": 1451.19, "end": 1451.37, "word": " ايش", "probability": 0.7757161458333334}, {"start": 1451.37, "end": 1452.09, "word": " بيعطيلك", "probability": 0.89052734375}, {"start": 1452.09, "end": 1452.73, "word": " X", "probability": 0.57421875}, {"start": 1452.73, "end": 1453.97, "word": " فلن", "probability": 0.7732747395833334}, {"start": 1453.97, "end": 1454.81, "word": " اتنين", "probability": 0.7884521484375}, {"start": 1454.81, "end": 1455.35, "word": " Y", "probability": 0.97412109375}, {"start": 1455.35, "end": 1456.41, "word": " يساوي", "probability": 0.864990234375}, {"start": 1456.41, "end": 1456.93, "word": " Y", "probability": 0.91259765625}, {"start": 1456.93, "end": 1457.65, "word": " ترابية", "probability": 0.66644287109375}, {"start": 1457.65, "end": 1458.29, "word": " فلن", "probability": 0.974609375}, {"start": 1458.29, "end": 1458.83, "word": " X", "probability": 0.57373046875}], "temperature": 1.0}, {"id": 63, "seek": 148328, "start": 1466.0, "end": 1483.28, "text": "تمام؟ طيب يبقى الصحارات كل واحدة فيهم مشتقة حاصل ضرب دالتي اللي كانت كمان مشجعة نفس الواي في شجة والاكسس في شجة يبقى فاضل تفاضلا ضمنيا implicit differentiation", "tokens": [2655, 15042, 2304, 22807, 23032, 1829, 3555, 7251, 3555, 4587, 7578, 31767, 5016, 9640, 9307, 28242, 36764, 24401, 3660, 8978, 16095, 37893, 2655, 28671, 11331, 33546, 1211, 48812, 25513, 11778, 6027, 31371, 13672, 1829, 25961, 2655, 9122, 2304, 7649, 37893, 7435, 27884, 8717, 36178, 2423, 14407, 1829, 8978, 13412, 7435, 3660, 4032, 6027, 995, 4117, 3794, 3794, 8978, 13412, 7435, 3660, 7251, 3555, 4587, 7578, 6156, 46958, 1211, 6055, 5172, 46958, 15040, 48812, 27842, 25528, 26947, 38902], "avg_logprob": -0.2972756517239106, "compression_ratio": 1.5314285714285714, "no_speech_prob": 0.0, "words": [{"start": 1466.0, "end": 1467.04, "word": "تمام؟", "probability": 0.498260498046875}, {"start": 1467.04, "end": 1468.08, "word": " طيب", "probability": 0.7623697916666666}, {"start": 1468.08, "end": 1468.9, "word": " يبقى", "probability": 0.8187255859375}, {"start": 1468.9, "end": 1469.52, "word": " الصحارات", "probability": 0.6416015625}, {"start": 1469.52, "end": 1469.94, "word": " كل", "probability": 0.91650390625}, {"start": 1469.94, "end": 1470.52, "word": " واحدة", "probability": 0.9466145833333334}, {"start": 1470.52, "end": 1470.98, "word": " فيهم", "probability": 0.955322265625}, {"start": 1470.98, "end": 1472.06, "word": " مشتقة", "probability": 0.7941080729166666}, {"start": 1472.06, "end": 1472.74, "word": " حاصل", "probability": 0.7801920572916666}, {"start": 1472.74, "end": 1473.2, "word": " ضرب", "probability": 0.956298828125}, {"start": 1473.2, "end": 1474.34, "word": " دالتي", "probability": 0.5860188802083334}, {"start": 1474.34, "end": 1474.56, "word": " اللي", "probability": 0.822998046875}, {"start": 1474.56, "end": 1474.8, "word": " كانت", "probability": 0.808349609375}, {"start": 1474.8, "end": 1475.1, "word": " كمان", "probability": 0.9581705729166666}, {"start": 1475.1, "end": 1475.48, "word": " مشجعة", "probability": 0.5982666015625}, {"start": 1475.48, "end": 1475.78, "word": " نفس", "probability": 0.83984375}, {"start": 1475.78, "end": 1476.1, "word": " الواي", "probability": 0.6220703125}, {"start": 1476.1, "end": 1476.2, "word": " في", "probability": 0.9638671875}, {"start": 1476.2, "end": 1476.4, "word": " شجة", "probability": 0.9044596354166666}, {"start": 1476.4, "end": 1476.84, "word": " والاكسس", "probability": 0.5977579752604166}, {"start": 1476.84, "end": 1477.02, "word": " في", "probability": 0.9736328125}, {"start": 1477.02, "end": 1477.44, "word": " شجة", "probability": 0.986328125}, {"start": 1477.44, "end": 1478.14, "word": " يبقى", "probability": 0.9434814453125}, {"start": 1478.14, "end": 1478.72, "word": " فاضل", "probability": 0.97705078125}, {"start": 1478.72, "end": 1479.74, "word": " تفاضلا", "probability": 0.912109375}, {"start": 1479.74, "end": 1480.94, "word": " ضمنيا", "probability": 0.8665364583333334}, {"start": 1480.94, "end": 1482.02, "word": " implicit", "probability": 0.77392578125}, {"start": 1482.02, "end": 1483.28, "word": " differentiation", "probability": 0.953125}], "temperature": 1.0}, {"id": 64, "seek": 151111, "start": 1483.75, "end": 1511.11, "text": "بنفضل كل واحد في مكانه مع مراعاة قواعد الاشتقاق. هذه تعتبر function، هذه function تانية، هذه function، هذه function تانية، يبقى كل من الطرفين عبارة عن حاصل ضرب بقلتين وبدأ نشتقهم. يبقى ده الأولى. بدأ نشتق اللي هو لن اثنين واحد، تعرف؟", "tokens": [3555, 1863, 5172, 11242, 1211, 28242, 36764, 24401, 8978, 3714, 41361, 3224, 20449, 3714, 23557, 3615, 995, 3660, 12174, 14407, 22488, 2423, 33599, 2655, 4587, 995, 4587, 13, 29538, 6055, 34268, 26890, 2445, 12399, 29538, 2445, 6055, 7649, 10632, 12399, 29538, 2445, 12399, 29538, 2445, 6055, 7649, 10632, 12399, 7251, 3555, 4587, 7578, 28242, 9154, 41950, 28480, 9957, 6225, 3555, 9640, 3660, 18871, 11331, 33546, 1211, 48812, 25513, 4724, 4587, 1211, 2655, 9957, 4032, 44510, 10721, 8717, 8592, 2655, 4587, 16095, 13, 7251, 3555, 4587, 7578, 11778, 3224, 16247, 12610, 7578, 13, 47525, 10721, 8717, 8592, 2655, 4587, 13672, 1829, 31439, 5296, 1863, 1975, 12984, 1863, 9957, 36764, 24401, 12399, 37279, 28480, 22807], "avg_logprob": -0.18749999699362538, "compression_ratio": 1.8224299065420562, "no_speech_prob": 0.0, "words": [{"start": 1483.75, "end": 1484.49, "word": "بنفضل", "probability": 0.8912109375}, {"start": 1484.49, "end": 1484.81, "word": " كل", "probability": 0.97607421875}, {"start": 1484.81, "end": 1485.25, "word": " واحد", "probability": 0.996826171875}, {"start": 1485.25, "end": 1485.43, "word": " في", "probability": 0.958984375}, {"start": 1485.43, "end": 1485.95, "word": " مكانه", "probability": 0.9861653645833334}, {"start": 1485.95, "end": 1486.19, "word": " مع", "probability": 0.9501953125}, {"start": 1486.19, "end": 1486.97, "word": " مراعاة", "probability": 0.9400390625}, {"start": 1486.97, "end": 1487.77, "word": " قواعد", "probability": 0.9020182291666666}, {"start": 1487.77, "end": 1489.35, "word": " الاشتقاق.", "probability": 0.8455403645833334}, {"start": 1489.49, "end": 1490.07, "word": " هذه", "probability": 0.453369140625}, {"start": 1490.07, "end": 1490.75, "word": " تعتبر", "probability": 0.9708658854166666}, {"start": 1490.75, "end": 1491.83, "word": " function،", "probability": 0.704345703125}, {"start": 1491.83, "end": 1492.07, "word": " هذه", "probability": 0.83203125}, {"start": 1492.07, "end": 1492.59, "word": " function", "probability": 0.908203125}, {"start": 1492.59, "end": 1493.33, "word": " تانية،", "probability": 0.919921875}, {"start": 1493.33, "end": 1493.73, "word": " هذه", "probability": 0.8369140625}, {"start": 1493.73, "end": 1494.67, "word": " function،", "probability": 0.933349609375}, {"start": 1494.67, "end": 1494.89, "word": " هذه", "probability": 0.9189453125}, {"start": 1494.89, "end": 1495.43, "word": " function", "probability": 0.943359375}, {"start": 1495.43, "end": 1496.19, "word": " تانية،", "probability": 0.8941650390625}, {"start": 1496.19, "end": 1496.63, "word": " يبقى", "probability": 0.9248046875}, {"start": 1496.63, "end": 1497.25, "word": " كل", "probability": 0.98193359375}, {"start": 1497.25, "end": 1497.61, "word": " من", "probability": 0.9775390625}, {"start": 1497.61, "end": 1498.55, "word": " الطرفين", "probability": 0.9130859375}, {"start": 1498.55, "end": 1499.13, "word": " عبارة", "probability": 0.9951171875}, {"start": 1499.13, "end": 1499.59, "word": " عن", "probability": 0.99609375}, {"start": 1499.59, "end": 1500.31, "word": " حاصل", "probability": 0.9363606770833334}, {"start": 1500.31, "end": 1500.75, "word": " ضرب", "probability": 0.881591796875}, {"start": 1500.75, "end": 1501.95, "word": " بقلتين", "probability": 0.7900390625}, {"start": 1501.95, "end": 1502.21, "word": " وبدأ", "probability": 0.6529947916666666}, {"start": 1502.21, "end": 1502.93, "word": " نشتقهم.", "probability": 0.9578125}, {"start": 1503.47, "end": 1504.05, "word": " يبقى", "probability": 0.9598388671875}, {"start": 1504.05, "end": 1504.73, "word": " ده", "probability": 0.7308349609375}, {"start": 1504.73, "end": 1505.79, "word": " الأولى.", "probability": 0.8134765625}, {"start": 1506.27, "end": 1506.59, "word": " بدأ", "probability": 0.78125}, {"start": 1506.59, "end": 1507.27, "word": " نشتق", "probability": 0.994140625}, {"start": 1507.27, "end": 1507.83, "word": " اللي", "probability": 0.657958984375}, {"start": 1507.83, "end": 1507.97, "word": " هو", "probability": 0.94287109375}, {"start": 1507.97, "end": 1508.37, "word": " لن", "probability": 0.606689453125}, {"start": 1508.37, "end": 1509.03, "word": " اثنين", "probability": 0.842529296875}, {"start": 1509.03, "end": 1509.65, "word": " واحد،", "probability": 0.8069661458333334}, {"start": 1509.65, "end": 1511.11, "word": " تعرف؟", "probability": 0.82421875}], "temperature": 1.0}, {"id": 65, "seek": 151735, "start": 1513.57, "end": 1517.35, "text": "هو اللي دخل عرب لإن اثنين و واحد مننا اشتغل مش أنت اللي وراك يا راجل", "tokens": [3224, 2407, 13672, 1829, 11778, 9778, 1211, 6225, 25513, 5296, 28814, 1863, 1975, 12984, 1863, 9957, 4032, 36764, 24401, 9154, 8315, 1975, 8592, 2655, 17082, 1211, 37893, 14739, 2655, 13672, 1829, 4032, 23557, 4117, 35186, 12602, 26108, 1211], "avg_logprob": -0.3511618696726285, "compression_ratio": 1.3444444444444446, "no_speech_prob": 0.0, "words": [{"start": 1513.57, "end": 1513.93, "word": "هو", "probability": 0.3448486328125}, {"start": 1513.93, "end": 1514.01, "word": " اللي", "probability": 0.55438232421875}, {"start": 1514.01, "end": 1514.31, "word": " دخل", "probability": 0.7415364583333334}, {"start": 1514.31, "end": 1514.61, "word": " عرب", "probability": 0.833251953125}, {"start": 1514.61, "end": 1514.91, "word": " لإن", "probability": 0.8605143229166666}, {"start": 1514.91, "end": 1515.23, "word": " اثنين", "probability": 0.804443359375}, {"start": 1515.23, "end": 1515.33, "word": " و", "probability": 0.302734375}, {"start": 1515.33, "end": 1515.49, "word": " واحد", "probability": 0.89453125}, {"start": 1515.49, "end": 1515.69, "word": " مننا", "probability": 0.24969482421875}, {"start": 1515.69, "end": 1515.95, "word": " اشتغل", "probability": 0.8662109375}, {"start": 1515.95, "end": 1516.13, "word": " مش", "probability": 0.7568359375}, {"start": 1516.13, "end": 1516.47, "word": " أنت", "probability": 0.7235107421875}, {"start": 1516.47, "end": 1516.67, "word": " اللي", "probability": 0.98046875}, {"start": 1516.67, "end": 1517.03, "word": " وراك", "probability": 0.9560546875}, {"start": 1517.03, "end": 1517.15, "word": " يا", "probability": 0.962890625}, {"start": 1517.15, "end": 1517.35, "word": " راجل", "probability": 0.8938802083333334}], "temperature": 1.0}, {"id": 66, "seek": 154622, "start": 1518.66, "end": 1546.22, "text": "ممتاز يبقى واحد على اتنين Y في مشتقة اتنين Y اللي هي باتنين Y prime يبقى ال X في واحد على اتنين Y في مشتقة اتنين Y اللي هي باتنين Y prime يبقى الدالة الأولى في مشتقة الدالة الثانية زائد الدالة الثانية في مشتقة الأولى اللي هي بواحد يساوي", "tokens": [2304, 2304, 2655, 31377, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 398, 8978, 37893, 2655, 28671, 1975, 2655, 1863, 9957, 398, 13672, 1829, 39896, 4724, 9307, 1863, 9957, 398, 5835, 7251, 3555, 4587, 7578, 2423, 1783, 8978, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 398, 8978, 37893, 2655, 28671, 1975, 2655, 1863, 9957, 398, 13672, 1829, 39896, 4724, 9307, 1863, 9957, 398, 5835, 7251, 3555, 4587, 7578, 32748, 6027, 3660, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 6024, 104, 7649, 10632, 30767, 16373, 3215, 32748, 6027, 3660, 6024, 104, 7649, 10632, 8978, 37893, 2655, 28671, 16247, 12610, 7578, 13672, 1829, 39896, 4724, 14407, 24401, 7251, 3794, 995, 45865], "avg_logprob": -0.11368534431375306, "compression_ratio": 2.826388888888889, "no_speech_prob": 0.0, "words": [{"start": 1518.66, "end": 1519.32, "word": "ممتاز", "probability": 0.83984375}, {"start": 1519.32, "end": 1519.66, "word": " يبقى", "probability": 0.8946533203125}, {"start": 1519.66, "end": 1519.96, "word": " واحد", "probability": 0.736083984375}, {"start": 1519.96, "end": 1520.22, "word": " على", "probability": 0.66162109375}, {"start": 1520.22, "end": 1520.74, "word": " اتنين", "probability": 0.84222412109375}, {"start": 1520.74, "end": 1521.18, "word": " Y", "probability": 0.56005859375}, {"start": 1521.18, "end": 1521.78, "word": " في", "probability": 0.8388671875}, {"start": 1521.78, "end": 1522.52, "word": " مشتقة", "probability": 0.8894856770833334}, {"start": 1522.52, "end": 1522.96, "word": " اتنين", "probability": 0.9761962890625}, {"start": 1522.96, "end": 1523.16, "word": " Y", "probability": 0.98828125}, {"start": 1523.16, "end": 1523.28, "word": " اللي", "probability": 0.5811767578125}, {"start": 1523.28, "end": 1523.4, "word": " هي", "probability": 0.390380859375}, {"start": 1523.4, "end": 1524.48, "word": " باتنين", "probability": 0.8353271484375}, {"start": 1524.48, "end": 1525.0, "word": " Y", "probability": 0.98193359375}, {"start": 1525.0, "end": 1525.62, "word": " prime", "probability": 0.17333984375}, {"start": 1525.62, "end": 1527.0, "word": " يبقى", "probability": 0.939697265625}, {"start": 1527.0, "end": 1527.8, "word": " ال", "probability": 0.8125}, {"start": 1527.8, "end": 1528.22, "word": " X", "probability": 0.92138671875}, {"start": 1528.22, "end": 1528.78, "word": " في", "probability": 0.96044921875}, {"start": 1528.78, "end": 1529.4, "word": " واحد", "probability": 0.97998046875}, {"start": 1529.4, "end": 1529.76, "word": " على", "probability": 0.9111328125}, {"start": 1529.76, "end": 1530.46, "word": " اتنين", "probability": 0.9864501953125}, {"start": 1530.46, "end": 1530.88, "word": " Y", "probability": 0.99609375}, {"start": 1530.88, "end": 1531.32, "word": " في", "probability": 0.94287109375}, {"start": 1531.32, "end": 1531.92, "word": " مشتقة", "probability": 0.984375}, {"start": 1531.92, "end": 1532.5, "word": " اتنين", "probability": 0.9898681640625}, {"start": 1532.5, "end": 1532.82, "word": " Y", "probability": 0.9951171875}, {"start": 1532.82, "end": 1532.98, "word": " اللي", "probability": 0.97021484375}, {"start": 1532.98, "end": 1533.08, "word": " هي", "probability": 0.955078125}, {"start": 1533.08, "end": 1534.04, "word": " باتنين", "probability": 0.9312744140625}, {"start": 1534.04, "end": 1534.48, "word": " Y", "probability": 0.99609375}, {"start": 1534.48, "end": 1535.08, "word": " prime", "probability": 0.83642578125}, {"start": 1535.08, "end": 1535.86, "word": " يبقى", "probability": 0.9886474609375}, {"start": 1535.86, "end": 1536.3, "word": " الدالة", "probability": 0.8693033854166666}, {"start": 1536.3, "end": 1536.72, "word": " الأولى", "probability": 0.92578125}, {"start": 1536.72, "end": 1536.88, "word": " في", "probability": 0.9814453125}, {"start": 1536.88, "end": 1537.46, "word": " مشتقة", "probability": 0.9842122395833334}, {"start": 1537.46, "end": 1538.1, "word": " الدالة", "probability": 0.9899088541666666}, {"start": 1538.1, "end": 1538.7, "word": " الثانية", "probability": 0.9749755859375}, {"start": 1538.7, "end": 1540.1, "word": " زائد", "probability": 0.81982421875}, {"start": 1540.1, "end": 1541.16, "word": " الدالة", "probability": 0.9928385416666666}, {"start": 1541.16, "end": 1542.22, "word": " الثانية", "probability": 0.983642578125}, {"start": 1542.22, "end": 1542.7, "word": " في", "probability": 0.98681640625}, {"start": 1542.7, "end": 1543.42, "word": " مشتقة", "probability": 0.9742838541666666}, {"start": 1543.42, "end": 1543.98, "word": " الأولى", "probability": 0.95556640625}, {"start": 1543.98, "end": 1544.16, "word": " اللي", "probability": 0.95703125}, {"start": 1544.16, "end": 1544.34, "word": " هي", "probability": 0.9638671875}, {"start": 1544.34, "end": 1544.92, "word": " بواحد", "probability": 0.9763997395833334}, {"start": 1544.92, "end": 1546.22, "word": " يساوي", "probability": 0.9573974609375}], "temperature": 1.0}, {"id": 67, "seek": 157202, "start": 1547.12, "end": 1572.02, "text": "بدنا نيجي برضه الأولى Y تربية في مشتقة الثانية ليه واحد على X زائد لن ال X بدنا نشتق Y تربية ايوة يا اخي العرب انت رقم تلاتة ايوة بدنا مشتقة Y تربية ايوة بدنا مشتقة Y تربية بس", "tokens": [3555, 3215, 8315, 8717, 1829, 7435, 1829, 4724, 43042, 3224, 16247, 12610, 7578, 398, 6055, 25513, 10632, 8978, 37893, 2655, 28671, 6024, 104, 7649, 10632, 32239, 3224, 36764, 24401, 15844, 1783, 30767, 16373, 3215, 5296, 1863, 2423, 1783, 47525, 8315, 8717, 8592, 2655, 4587, 398, 6055, 25513, 10632, 1975, 1829, 2407, 3660, 35186, 1975, 9778, 1829, 18863, 25513, 16472, 2655, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 1975, 1829, 2407, 3660, 47525, 8315, 37893, 2655, 28671, 398, 6055, 25513, 10632, 1975, 1829, 2407, 3660, 47525, 8315, 37893, 2655, 28671, 398, 6055, 25513, 10632, 4724, 3794], "avg_logprob": -0.19791666961585483, "compression_ratio": 2.013157894736842, "no_speech_prob": 0.0, "words": [{"start": 1547.12, "end": 1547.64, "word": "بدنا", "probability": 0.46923828125}, {"start": 1547.64, "end": 1548.3, "word": " نيجي", "probability": 0.80657958984375}, {"start": 1548.3, "end": 1549.22, "word": " برضه", "probability": 0.8828125}, {"start": 1549.22, "end": 1551.34, "word": " الأولى", "probability": 0.9422200520833334}, {"start": 1551.34, "end": 1552.02, "word": " Y", "probability": 0.430908203125}, {"start": 1552.02, "end": 1552.58, "word": " تربية", "probability": 0.85693359375}, {"start": 1552.58, "end": 1552.82, "word": " في", "probability": 0.8779296875}, {"start": 1552.82, "end": 1553.64, "word": " مشتقة", "probability": 0.9314778645833334}, {"start": 1553.64, "end": 1554.26, "word": " الثانية", "probability": 0.9490966796875}, {"start": 1554.26, "end": 1554.54, "word": " ليه", "probability": 0.664306640625}, {"start": 1554.54, "end": 1554.92, "word": " واحد", "probability": 0.826416015625}, {"start": 1554.92, "end": 1555.16, "word": " على", "probability": 0.72412109375}, {"start": 1555.16, "end": 1555.64, "word": " X", "probability": 0.9130859375}, {"start": 1555.64, "end": 1556.76, "word": " زائد", "probability": 0.9069010416666666}, {"start": 1556.76, "end": 1557.18, "word": " لن", "probability": 0.585205078125}, {"start": 1557.18, "end": 1557.46, "word": " ال", "probability": 0.662109375}, {"start": 1557.46, "end": 1557.86, "word": " X", "probability": 0.7744140625}, {"start": 1557.86, "end": 1558.66, "word": " بدنا", "probability": 0.735107421875}, {"start": 1558.66, "end": 1559.32, "word": " نشتق", "probability": 0.9912109375}, {"start": 1559.32, "end": 1560.16, "word": " Y", "probability": 0.96142578125}, {"start": 1560.16, "end": 1560.88, "word": " تربية", "probability": 0.9469401041666666}, {"start": 1560.88, "end": 1562.16, "word": " ايوة", "probability": 0.6739501953125}, {"start": 1562.16, "end": 1562.38, "word": " يا", "probability": 0.91259765625}, {"start": 1562.38, "end": 1562.62, "word": " اخي", "probability": 0.746337890625}, {"start": 1562.62, "end": 1562.98, "word": " العرب", "probability": 0.91796875}, {"start": 1562.98, "end": 1563.3, "word": " انت", "probability": 0.978271484375}, {"start": 1563.3, "end": 1563.72, "word": " رقم", "probability": 0.9970703125}, {"start": 1563.72, "end": 1565.08, "word": " تلاتة", "probability": 0.9327392578125}, {"start": 1565.08, "end": 1565.52, "word": " ايوة", "probability": 0.897705078125}, {"start": 1565.52, "end": 1565.9, "word": " بدنا", "probability": 0.980712890625}, {"start": 1565.9, "end": 1566.48, "word": " مشتقة", "probability": 0.9889322916666666}, {"start": 1566.48, "end": 1566.78, "word": " Y", "probability": 0.98095703125}, {"start": 1566.78, "end": 1567.28, "word": " تربية", "probability": 0.97314453125}, {"start": 1567.28, "end": 1568.56, "word": " ايوة", "probability": 0.86865234375}, {"start": 1568.56, "end": 1570.42, "word": " بدنا", "probability": 0.985595703125}, {"start": 1570.42, "end": 1570.88, "word": " مشتقة", "probability": 0.9793294270833334}, {"start": 1570.88, "end": 1571.14, "word": " Y", "probability": 0.97119140625}, {"start": 1571.14, "end": 1571.52, "word": " تربية", "probability": 0.9752604166666666}, {"start": 1571.52, "end": 1572.02, "word": " بس", "probability": 0.984130859375}], "temperature": 1.0}, {"id": 68, "seek": 160519, "start": 1576.19, "end": 1605.19, "text": "بتسمعوا وبعدين شوفوا يا عزيزي كمش تقلط Y تربية؟ من Y انا اجيب في المعلومة هذه من B ولا من M؟ كالقلص B ولا كالقلص A؟ كالقلص A لأنه أنا اشتقت بالنسبة ل X لكن لو كان اشتقق بالنسبة ل Y نقلت 2Y وسكتنا لكن كله بالنسبة ل X يجب انا اقول في 2Y في ال Y ال prime", "tokens": [3555, 2655, 38251, 3615, 14407, 46599, 22488, 9957, 13412, 38688, 14407, 35186, 6225, 11622, 1829, 11622, 1829, 9122, 2304, 8592, 6055, 4587, 1211, 9566, 398, 6055, 25513, 10632, 22807, 9154, 398, 1975, 8315, 1975, 7435, 1829, 3555, 8978, 9673, 30241, 20498, 3660, 29538, 9154, 363, 49429, 9154, 376, 22807, 9122, 6027, 4587, 1211, 9381, 363, 49429, 9122, 6027, 4587, 1211, 9381, 316, 22807, 9122, 6027, 4587, 1211, 9381, 316, 5296, 33456, 3224, 41850, 1975, 8592, 2655, 38149, 20666, 1863, 35457, 3660, 5296, 1783, 44381, 45164, 25961, 1975, 8592, 2655, 4587, 4587, 20666, 1863, 35457, 3660, 5296, 398, 8717, 4587, 1211, 2655, 568, 56, 46952, 4117, 2655, 8315, 44381, 28242, 3224, 20666, 1863, 35457, 3660, 5296, 1783, 7251, 7435, 3555, 1975, 8315, 1975, 39648, 8978, 568, 56, 8978, 2423, 398, 2423, 5835], "avg_logprob": -0.4275568215684457, "compression_ratio": 1.8928571428571428, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1576.19, "end": 1576.99, "word": "بتسمعوا", "probability": 0.576513671875}, {"start": 1576.99, "end": 1577.37, "word": " وبعدين", "probability": 0.7522786458333334}, {"start": 1577.37, "end": 1577.67, "word": " شوفوا", "probability": 0.7022298177083334}, {"start": 1577.67, "end": 1577.85, "word": " يا", "probability": 0.4267578125}, {"start": 1577.85, "end": 1578.61, "word": " عزيزي", "probability": 0.8939453125}, {"start": 1578.61, "end": 1579.61, "word": " كمش", "probability": 0.3527425130208333}, {"start": 1579.61, "end": 1579.83, "word": " تقلط", "probability": 0.43853759765625}, {"start": 1579.83, "end": 1579.95, "word": " Y", "probability": 0.499755859375}, {"start": 1579.95, "end": 1580.65, "word": " تربية؟", "probability": 0.6318359375}, {"start": 1580.65, "end": 1580.91, "word": " من", "probability": 0.380859375}, {"start": 1580.91, "end": 1581.09, "word": " Y", "probability": 0.4853515625}, {"start": 1581.09, "end": 1582.37, "word": " انا", "probability": 0.4755859375}, {"start": 1582.37, "end": 1582.57, "word": " اجيب", "probability": 0.741943359375}, {"start": 1582.57, "end": 1582.69, "word": " في", "probability": 0.3125}, {"start": 1582.69, "end": 1583.13, "word": " المعلومة", "probability": 0.9473876953125}, {"start": 1583.13, "end": 1583.47, "word": " هذه", "probability": 0.53564453125}, {"start": 1583.47, "end": 1585.69, "word": " من", "probability": 0.55126953125}, {"start": 1585.69, "end": 1585.87, "word": " B", "probability": 0.8134765625}, {"start": 1585.87, "end": 1586.09, "word": " ولا", "probability": 0.5791015625}, {"start": 1586.09, "end": 1586.31, "word": " من", "probability": 0.9892578125}, {"start": 1586.31, "end": 1586.75, "word": " M؟", "probability": 0.4501953125}, {"start": 1586.75, "end": 1587.13, "word": " كالقلص", "probability": 0.5890380859375}, {"start": 1587.13, "end": 1587.27, "word": " B", "probability": 0.7470703125}, {"start": 1587.27, "end": 1587.41, "word": " ولا", "probability": 0.853515625}, {"start": 1587.41, "end": 1587.85, "word": " كالقلص", "probability": 0.964453125}, {"start": 1587.85, "end": 1588.51, "word": " A؟", "probability": 0.8291015625}, {"start": 1588.51, "end": 1589.83, "word": " كالقلص", "probability": 0.9740234375}, {"start": 1589.83, "end": 1590.25, "word": " A", "probability": 0.982421875}, {"start": 1590.25, "end": 1590.87, "word": " لأنه", "probability": 0.5931803385416666}, {"start": 1590.87, "end": 1591.11, "word": " أنا", "probability": 0.46533203125}, {"start": 1591.11, "end": 1591.67, "word": " اشتقت", "probability": 0.6964111328125}, {"start": 1591.67, "end": 1592.39, "word": " بالنسبة", "probability": 0.99169921875}, {"start": 1592.39, "end": 1592.55, "word": " ل", "probability": 0.94775390625}, {"start": 1592.55, "end": 1592.85, "word": " X", "probability": 0.68017578125}, {"start": 1592.85, "end": 1593.53, "word": " لكن", "probability": 0.8544921875}, {"start": 1593.53, "end": 1593.91, "word": " لو", "probability": 0.9775390625}, {"start": 1593.91, "end": 1594.33, "word": " كان", "probability": 0.98583984375}, {"start": 1594.33, "end": 1595.05, "word": " اشتقق", "probability": 0.7123046875}, {"start": 1595.05, "end": 1595.65, "word": " بالنسبة", "probability": 0.9954833984375}, {"start": 1595.65, "end": 1595.79, "word": " ل", "probability": 0.9365234375}, {"start": 1595.79, "end": 1595.95, "word": " Y", "probability": 0.83056640625}, {"start": 1595.95, "end": 1596.37, "word": " نقلت", "probability": 0.37994384765625}, {"start": 1596.37, "end": 1596.95, "word": " 2Y", "probability": 0.7149658203125}, {"start": 1596.95, "end": 1597.79, "word": " وسكتنا", "probability": 0.760162353515625}, {"start": 1597.79, "end": 1598.51, "word": " لكن", "probability": 0.73779296875}, {"start": 1598.51, "end": 1598.93, "word": " كله", "probability": 0.759033203125}, {"start": 1598.93, "end": 1599.41, "word": " بالنسبة", "probability": 0.99560546875}, {"start": 1599.41, "end": 1599.61, "word": " ل", "probability": 0.935546875}, {"start": 1599.61, "end": 1600.01, "word": " X", "probability": 0.9482421875}, {"start": 1600.01, "end": 1600.75, "word": " يجب", "probability": 0.5699869791666666}, {"start": 1600.75, "end": 1600.97, "word": " انا", "probability": 0.3638916015625}, {"start": 1600.97, "end": 1601.49, "word": " اقول", "probability": 0.6781005859375}, {"start": 1601.49, "end": 1602.09, "word": " في", "probability": 0.5380859375}, {"start": 1602.09, "end": 1604.09, "word": " 2Y", "probability": 0.896240234375}, {"start": 1604.09, "end": 1604.33, "word": " في", "probability": 0.97509765625}, {"start": 1604.33, "end": 1604.43, "word": " ال", "probability": 0.7685546875}, {"start": 1604.43, "end": 1604.67, "word": " Y", "probability": 0.6669921875}, {"start": 1604.67, "end": 1604.89, "word": " ال", "probability": 0.49658203125}, {"start": 1604.89, "end": 1605.19, "word": " prime", "probability": 0.370361328125}], "temperature": 1.0}, {"id": 69, "seek": 162772, "start": 1606.8, "end": 1627.72, "text": "إتنين مع اتنين بتروح، بيبقى اللي عندى x على y في ال y prime زائد لإن اتنين y بده يساوي y تربيه على x زائد اتنين y لإن ال x في من؟ في ال y prime", "tokens": [28814, 2655, 1863, 9957, 20449, 1975, 2655, 1863, 9957, 39894, 32887, 5016, 12399, 4724, 1829, 3555, 4587, 7578, 13672, 1829, 43242, 7578, 2031, 15844, 288, 8978, 2423, 288, 5835, 30767, 16373, 3215, 5296, 28814, 1863, 1975, 2655, 1863, 9957, 288, 47525, 3224, 7251, 3794, 995, 45865, 288, 6055, 2288, 21292, 3224, 15844, 2031, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 288, 5296, 28814, 1863, 2423, 2031, 8978, 9154, 22807, 8978, 2423, 288, 5835], "avg_logprob": -0.27723817648114385, "compression_ratio": 1.6453900709219857, "no_speech_prob": 0.0, "words": [{"start": 1606.8, "end": 1607.44, "word": "إتنين", "probability": 0.5661544799804688}, {"start": 1607.44, "end": 1607.64, "word": " مع", "probability": 0.966796875}, {"start": 1607.64, "end": 1608.12, "word": " اتنين", "probability": 0.9029541015625}, {"start": 1608.12, "end": 1609.02, "word": " بتروح،", "probability": 0.635223388671875}, {"start": 1609.02, "end": 1609.42, "word": " بيبقى", "probability": 0.764111328125}, {"start": 1609.42, "end": 1609.5, "word": " اللي", "probability": 0.677490234375}, {"start": 1609.5, "end": 1609.96, "word": " عندى", "probability": 0.685546875}, {"start": 1609.96, "end": 1610.36, "word": " x", "probability": 0.62646484375}, {"start": 1610.36, "end": 1610.94, "word": " على", "probability": 0.60498046875}, {"start": 1610.94, "end": 1611.5, "word": " y", "probability": 0.98486328125}, {"start": 1611.5, "end": 1612.08, "word": " في", "probability": 0.85546875}, {"start": 1612.08, "end": 1612.22, "word": " ال", "probability": 0.88427734375}, {"start": 1612.22, "end": 1612.48, "word": " y", "probability": 0.466064453125}, {"start": 1612.48, "end": 1613.1, "word": " prime", "probability": 0.6533203125}, {"start": 1613.1, "end": 1614.12, "word": " زائد", "probability": 0.70703125}, {"start": 1614.12, "end": 1614.52, "word": " لإن", "probability": 0.84375}, {"start": 1614.52, "end": 1615.3, "word": " اتنين", "probability": 0.9351806640625}, {"start": 1615.3, "end": 1615.8, "word": " y", "probability": 0.93701171875}, {"start": 1615.8, "end": 1616.54, "word": " بده", "probability": 0.605224609375}, {"start": 1616.54, "end": 1617.0, "word": " يساوي", "probability": 0.9346923828125}, {"start": 1617.0, "end": 1617.46, "word": " y", "probability": 0.76318359375}, {"start": 1617.46, "end": 1618.12, "word": " تربيه", "probability": 0.7923583984375}, {"start": 1618.12, "end": 1618.44, "word": " على", "probability": 0.84619140625}, {"start": 1618.44, "end": 1618.92, "word": " x", "probability": 0.9873046875}, {"start": 1618.92, "end": 1620.24, "word": " زائد", "probability": 0.96484375}, {"start": 1620.24, "end": 1622.12, "word": " اتنين", "probability": 0.9639892578125}, {"start": 1622.12, "end": 1623.58, "word": " y", "probability": 0.990234375}, {"start": 1623.58, "end": 1624.74, "word": " لإن", "probability": 0.9581705729166666}, {"start": 1624.74, "end": 1624.98, "word": " ال", "probability": 0.9580078125}, {"start": 1624.98, "end": 1625.5, "word": " x", "probability": 0.81201171875}, {"start": 1625.5, "end": 1625.82, "word": " في", "probability": 0.931640625}, {"start": 1625.82, "end": 1626.38, "word": " من؟", "probability": 0.4970703125}, {"start": 1626.38, "end": 1626.76, "word": " في", "probability": 0.96337890625}, {"start": 1626.76, "end": 1626.92, "word": " ال", "probability": 0.98388671875}, {"start": 1626.92, "end": 1627.18, "word": " y", "probability": 0.958984375}, {"start": 1627.18, "end": 1627.72, "word": " prime", "probability": 0.89599609375}], "temperature": 1.0}, {"id": 70, "seek": 165312, "start": 1629.22, "end": 1653.12, "text": "بنقدر نجيب هادي و هادي عند بعض و ناخد واي عامل مشترك و ننقل هادي عند هادي على الشجة التانية و بعدين نقسم على المعامل واي فرايم على هى حال هذا شغل روتيني لكن احنا العمودي الفقري في المسألة اللى هو الاشتغال طيب لو جالك سؤال اللى سمح الله ترفع ضمن ضمن زي اك بس فاضل ايام من الأول للآخر الصح", "tokens": [3555, 1863, 28543, 2288, 8717, 7435, 1829, 3555, 8032, 995, 16254, 4032, 8032, 995, 16254, 43242, 45030, 11242, 4032, 8717, 47283, 3215, 36764, 1829, 6225, 10943, 1211, 37893, 2655, 31747, 4032, 8717, 1863, 4587, 1211, 8032, 995, 16254, 43242, 8032, 995, 16254, 15844, 25124, 7435, 3660, 16712, 7649, 10632, 4032, 39182, 9957, 8717, 4587, 38251, 15844, 9673, 3615, 10943, 1211, 36764, 1829, 6156, 23557, 32640, 15844, 8032, 7578, 11331, 6027, 23758, 13412, 17082, 1211, 12602, 35473, 9957, 1829, 44381, 1975, 5016, 8315, 18863, 2304, 2407, 16254, 27188, 4587, 16572, 8978, 9673, 3794, 10721, 37977, 13672, 7578, 31439, 2423, 33599, 2655, 17082, 6027, 23032, 1829, 3555, 45164, 10874, 6027, 4117, 8608, 33604, 6027, 13672, 7578, 8608, 2304, 5016, 21984, 6055, 28480, 3615, 48812, 27842, 48812, 27842, 30767, 1829, 1975, 4117, 4724, 3794, 6156, 46958, 1211, 1975, 1829, 10943, 9154, 16247, 12610, 24976, 148, 95, 34740, 31767, 5016], "avg_logprob": -0.22470238216880228, "compression_ratio": 2.0642570281124497, "no_speech_prob": 0.0, "words": [{"start": 1629.22, "end": 1629.94, "word": "بنقدر", "probability": 0.7607421875}, {"start": 1629.94, "end": 1630.66, "word": " نجيب", "probability": 0.9375}, {"start": 1630.66, "end": 1631.1, "word": " هادي", "probability": 0.6522623697916666}, {"start": 1631.1, "end": 1631.22, "word": " و", "probability": 0.90478515625}, {"start": 1631.22, "end": 1631.52, "word": " هادي", "probability": 0.8494466145833334}, {"start": 1631.52, "end": 1631.78, "word": " عند", "probability": 0.95654296875}, {"start": 1631.78, "end": 1632.2, "word": " بعض", "probability": 0.994873046875}, {"start": 1632.2, "end": 1632.34, "word": " و", "probability": 0.91796875}, {"start": 1632.34, "end": 1632.72, "word": " ناخد", "probability": 0.94140625}, {"start": 1632.72, "end": 1632.96, "word": " واي", "probability": 0.4710693359375}, {"start": 1632.96, "end": 1633.36, "word": " عامل", "probability": 0.9869791666666666}, {"start": 1633.36, "end": 1633.98, "word": " مشترك", "probability": 0.9371744791666666}, {"start": 1633.98, "end": 1634.66, "word": " و", "probability": 0.94189453125}, {"start": 1634.66, "end": 1635.18, "word": " ننقل", "probability": 0.9683837890625}, {"start": 1635.18, "end": 1635.6, "word": " هادي", "probability": 0.9615885416666666}, {"start": 1635.6, "end": 1635.9, "word": " عند", "probability": 0.943359375}, {"start": 1635.9, "end": 1636.22, "word": " هادي", "probability": 0.9733072916666666}, {"start": 1636.22, "end": 1636.4, "word": " على", "probability": 0.7890625}, {"start": 1636.4, "end": 1636.94, "word": " الشجة", "probability": 0.7796223958333334}, {"start": 1636.94, "end": 1637.3, "word": " التانية", "probability": 0.87890625}, {"start": 1637.3, "end": 1637.4, "word": " و", "probability": 0.87646484375}, {"start": 1637.4, "end": 1637.7, "word": " بعدين", "probability": 0.947265625}, {"start": 1637.7, "end": 1638.24, "word": " نقسم", "probability": 0.814208984375}, {"start": 1638.24, "end": 1638.78, "word": " على", "probability": 0.82666015625}, {"start": 1638.78, "end": 1639.24, "word": " المعامل", "probability": 0.94775390625}, {"start": 1639.24, "end": 1639.52, "word": " واي", "probability": 0.819091796875}, {"start": 1639.52, "end": 1639.82, "word": " فرايم", "probability": 0.4385579427083333}, {"start": 1639.82, "end": 1640.04, "word": " على", "probability": 0.755859375}, {"start": 1640.04, "end": 1640.3, "word": " هى", "probability": 0.6033935546875}, {"start": 1640.3, "end": 1640.6, "word": " حال", "probability": 0.9619140625}, {"start": 1640.6, "end": 1640.9, "word": " هذا", "probability": 0.460205078125}, {"start": 1640.9, "end": 1641.44, "word": " شغل", "probability": 0.8717447916666666}, {"start": 1641.44, "end": 1642.36, "word": " روتيني", "probability": 0.812744140625}, {"start": 1642.36, "end": 1642.88, "word": " لكن", "probability": 0.71435546875}, {"start": 1642.88, "end": 1643.18, "word": " احنا", "probability": 0.9573567708333334}, {"start": 1643.18, "end": 1643.74, "word": " العمودي", "probability": 0.9398193359375}, {"start": 1643.74, "end": 1644.3, "word": " الفقري", "probability": 0.9488932291666666}, {"start": 1644.3, "end": 1644.48, "word": " في", "probability": 0.9072265625}, {"start": 1644.48, "end": 1645.26, "word": " المسألة", "probability": 0.9901123046875}, {"start": 1645.26, "end": 1645.8, "word": " اللى", "probability": 0.929443359375}, {"start": 1645.8, "end": 1645.96, "word": " هو", "probability": 0.947265625}, {"start": 1645.96, "end": 1646.46, "word": " الاشتغال", "probability": 0.8548828125}, {"start": 1646.46, "end": 1646.7, "word": " طيب", "probability": 0.7801920572916666}, {"start": 1646.7, "end": 1646.94, "word": " لو", "probability": 0.311767578125}, {"start": 1646.94, "end": 1647.4, "word": " جالك", "probability": 0.8631184895833334}, {"start": 1647.4, "end": 1647.74, "word": " سؤال", "probability": 0.9933268229166666}, {"start": 1647.74, "end": 1647.84, "word": " اللى", "probability": 0.57745361328125}, {"start": 1647.84, "end": 1648.18, "word": " سمح", "probability": 0.89990234375}, {"start": 1648.18, "end": 1648.4, "word": " الله", "probability": 0.904296875}, {"start": 1648.4, "end": 1648.82, "word": " ترفع", "probability": 0.5120442708333334}, {"start": 1648.82, "end": 1649.12, "word": " ضمن", "probability": 0.640625}, {"start": 1649.12, "end": 1649.22, "word": " ضمن", "probability": 0.673583984375}, {"start": 1649.22, "end": 1649.52, "word": " زي", "probability": 0.906005859375}, {"start": 1649.52, "end": 1649.78, "word": " اك", "probability": 0.4661865234375}, {"start": 1649.78, "end": 1650.48, "word": " بس", "probability": 0.891357421875}, {"start": 1650.48, "end": 1650.84, "word": " فاضل", "probability": 0.6582845052083334}, {"start": 1650.84, "end": 1651.48, "word": " ايام", "probability": 0.7325032552083334}, {"start": 1651.48, "end": 1651.64, "word": " من", "probability": 0.841796875}, {"start": 1651.64, "end": 1652.08, "word": " الأول", "probability": 0.818359375}, {"start": 1652.08, "end": 1652.68, "word": " للآخر", "probability": 0.7852783203125}, {"start": 1652.68, "end": 1653.12, "word": " الصح", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 71, "seek": 168218, "start": 1653.46, "end": 1682.18, "text": "هوح و خليه بس هذا التفاضل صحيح و خد ال full mark بس يلا اشتغل هالشغلة طيب هذا كان اللي هو المثال رقم قداش تسعة لا سيبك احنا تسعة دول من ضمن المثال الخامس نجي للمثال السادس المثال السادس بقول use", "tokens": [3224, 2407, 5016, 4032, 16490, 20292, 3224, 4724, 3794, 23758, 16712, 5172, 46958, 1211, 20328, 5016, 1829, 5016, 4032, 16490, 3215, 2423, 1577, 1491, 4724, 3794, 7251, 15040, 1975, 8592, 2655, 17082, 1211, 8032, 6027, 8592, 17082, 37977, 23032, 1829, 3555, 23758, 25961, 13672, 1829, 31439, 9673, 12984, 6027, 12602, 4587, 2304, 12174, 3215, 33599, 6055, 3794, 27884, 20193, 8608, 1829, 3555, 4117, 1975, 5016, 8315, 6055, 3794, 27884, 11778, 12610, 9154, 48812, 27842, 9673, 12984, 6027, 33962, 10943, 3794, 8717, 7435, 1829, 5296, 19528, 12984, 6027, 21136, 18513, 3794, 9673, 12984, 6027, 21136, 18513, 3794, 4724, 39648, 764], "avg_logprob": -0.21749999910593032, "compression_ratio": 1.8118279569892473, "no_speech_prob": 0.0, "words": [{"start": 1653.46, "end": 1653.9, "word": "هوح", "probability": 0.4720662434895833}, {"start": 1653.9, "end": 1653.98, "word": " و", "probability": 0.9423828125}, {"start": 1653.98, "end": 1654.66, "word": " خليه", "probability": 0.6399739583333334}, {"start": 1654.66, "end": 1654.92, "word": " بس", "probability": 0.752685546875}, {"start": 1654.92, "end": 1655.14, "word": " هذا", "probability": 0.284912109375}, {"start": 1655.14, "end": 1655.7, "word": " التفاضل", "probability": 0.8631591796875}, {"start": 1655.7, "end": 1656.28, "word": " صحيح", "probability": 0.968505859375}, {"start": 1656.28, "end": 1656.68, "word": " و", "probability": 0.61474609375}, {"start": 1656.68, "end": 1657.04, "word": " خد", "probability": 0.780517578125}, {"start": 1657.04, "end": 1657.18, "word": " ال", "probability": 0.95947265625}, {"start": 1657.18, "end": 1657.42, "word": " full", "probability": 0.78466796875}, {"start": 1657.42, "end": 1657.86, "word": " mark", "probability": 0.9052734375}, {"start": 1657.86, "end": 1658.2, "word": " بس", "probability": 0.86572265625}, {"start": 1658.2, "end": 1658.58, "word": " يلا", "probability": 0.681884765625}, {"start": 1658.58, "end": 1659.46, "word": " اشتغل", "probability": 0.852783203125}, {"start": 1659.46, "end": 1660.0, "word": " هالشغلة", "probability": 0.80234375}, {"start": 1660.0, "end": 1661.18, "word": " طيب", "probability": 0.9215494791666666}, {"start": 1661.18, "end": 1661.76, "word": " هذا", "probability": 0.73388671875}, {"start": 1661.76, "end": 1662.34, "word": " كان", "probability": 0.98876953125}, {"start": 1662.34, "end": 1662.7, "word": " اللي", "probability": 0.6708984375}, {"start": 1662.7, "end": 1663.08, "word": " هو", "probability": 0.9931640625}, {"start": 1663.08, "end": 1663.74, "word": " المثال", "probability": 0.9620768229166666}, {"start": 1663.74, "end": 1664.18, "word": " رقم", "probability": 0.9537760416666666}, {"start": 1664.18, "end": 1664.84, "word": " قداش", "probability": 0.8157552083333334}, {"start": 1664.84, "end": 1665.34, "word": " تسعة", "probability": 0.6926676432291666}, {"start": 1665.34, "end": 1666.24, "word": " لا", "probability": 0.376953125}, {"start": 1666.24, "end": 1666.8, "word": " سيبك", "probability": 0.985107421875}, {"start": 1666.8, "end": 1667.02, "word": " احنا", "probability": 0.9767252604166666}, {"start": 1667.02, "end": 1667.46, "word": " تسعة", "probability": 0.9532877604166666}, {"start": 1667.46, "end": 1668.02, "word": " دول", "probability": 0.734130859375}, {"start": 1668.02, "end": 1668.36, "word": " من", "probability": 0.9755859375}, {"start": 1668.36, "end": 1668.6, "word": " ضمن", "probability": 0.805908203125}, {"start": 1668.6, "end": 1669.34, "word": " المثال", "probability": 0.986328125}, {"start": 1669.34, "end": 1671.86, "word": " الخامس", "probability": 0.8601888020833334}, {"start": 1671.86, "end": 1672.7, "word": " نجي", "probability": 0.8214518229166666}, {"start": 1672.7, "end": 1673.38, "word": " للمثال", "probability": 0.9178466796875}, {"start": 1673.38, "end": 1674.4, "word": " السادس", "probability": 0.951171875}, {"start": 1674.4, "end": 1678.76, "word": " المثال", "probability": 0.9752604166666666}, {"start": 1678.76, "end": 1679.7, "word": " السادس", "probability": 0.9861653645833334}, {"start": 1679.7, "end": 1681.48, "word": " بقول", "probability": 0.794921875}, {"start": 1681.48, "end": 1682.18, "word": " use", "probability": 0.7294921875}], "temperature": 1.0}, {"id": 72, "seek": 171123, "start": 1685.53, "end": 1711.23, "text": "logarithmic differentiation to find y prime for the function y تساوي", "tokens": [4987, 289, 355, 13195, 38902, 281, 915, 288, 5835, 337, 264, 2445, 288, 6055, 3794, 995, 45865], "avg_logprob": -0.18446180555555555, "compression_ratio": 0.948051948051948, "no_speech_prob": 0.0, "words": [{"start": 1685.5299999999997, "end": 1686.9299999999998, "word": "logarithmic", "probability": 0.80078125}, {"start": 1686.9299999999998, "end": 1688.33, "word": " differentiation", "probability": 0.94189453125}, {"start": 1688.33, "end": 1700.77, "word": " to", "probability": 0.8662109375}, {"start": 1700.77, "end": 1702.49, "word": " find", "probability": 0.94091796875}, {"start": 1702.49, "end": 1703.87, "word": " y", "probability": 0.6806640625}, {"start": 1703.87, "end": 1704.63, "word": " prime", "probability": 0.426513671875}, {"start": 1704.63, "end": 1706.07, "word": " for", "probability": 0.96240234375}, {"start": 1706.07, "end": 1707.85, "word": " the", "probability": 0.9091796875}, {"start": 1707.85, "end": 1708.77, "word": " function", "probability": 0.97412109375}, {"start": 1708.77, "end": 1710.25, "word": " y", "probability": 0.96533203125}, {"start": 1710.25, "end": 1711.23, "word": " تساوي", "probability": 0.8807373046875}], "temperature": 1.0}, {"id": 73, "seek": 173377, "start": 1730.95, "end": 1733.77, "text": "السؤال اللى جابله جالى هاتلى y prime", "tokens": [6027, 3794, 33604, 6027, 13672, 7578, 10874, 16758, 43761, 10874, 6027, 7578, 8032, 9307, 23942, 288, 5835], "avg_logprob": -0.3671874983443154, "compression_ratio": 1.1538461538461537, "no_speech_prob": 0.0, "words": [{"start": 1730.95, "end": 1731.67, "word": "السؤال", "probability": 0.7769775390625}, {"start": 1731.67, "end": 1731.81, "word": " اللى", "probability": 0.62939453125}, {"start": 1731.81, "end": 1732.31, "word": " جابله", "probability": 0.9314778645833334}, {"start": 1732.31, "end": 1732.65, "word": " جالى", "probability": 0.66796875}, {"start": 1732.65, "end": 1733.01, "word": " هاتلى", "probability": 0.7086588541666666}, {"start": 1733.01, "end": 1733.23, "word": " y", "probability": 0.685546875}, {"start": 1733.23, "end": 1733.77, "word": " prime", "probability": 0.495849609375}], "temperature": 1.0}, {"id": 74, "seek": 176255, "start": 1738.67, "end": 1762.55, "text": "هذا يجب أن تشتغل بطريقة محددة لغارتماك ديفرانشيان يعني تأخذ التفاضل اللغارتمي يعني التفاضل لمن؟ للن يجب أن تأخذ اللن للدرد طبعا بقدر أفضلها بدون التفاضل اللغارتمي", "tokens": [3224, 15730, 7251, 7435, 3555, 14739, 6055, 8592, 2655, 17082, 1211, 4724, 9566, 16572, 28671, 3714, 24401, 41891, 5296, 17082, 9640, 2655, 15042, 4117, 11778, 33911, 2288, 7649, 8592, 1829, 7649, 37495, 22653, 6055, 10721, 9778, 8848, 16712, 5172, 46958, 1211, 13672, 17082, 9640, 2655, 2304, 1829, 37495, 22653, 16712, 5172, 46958, 1211, 5296, 27842, 22807, 24976, 1863, 7251, 7435, 3555, 14739, 6055, 10721, 9778, 8848, 13672, 1863, 24976, 3215, 2288, 3215, 23032, 3555, 3615, 995, 4724, 28543, 2288, 5551, 5172, 11242, 1211, 11296, 47525, 11536, 16712, 5172, 46958, 1211, 13672, 17082, 9640, 2655, 2304, 1829], "avg_logprob": -0.4139819685945806, "compression_ratio": 1.9102564102564104, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1738.67, "end": 1739.91, "word": "هذا", "probability": 0.4074859619140625}, {"start": 1739.91, "end": 1741.15, "word": " يجب", "probability": 0.4153238932291667}, {"start": 1741.15, "end": 1745.17, "word": " أن", "probability": 0.384521484375}, {"start": 1745.17, "end": 1745.71, "word": " تشتغل", "probability": 0.77607421875}, {"start": 1745.71, "end": 1746.21, "word": " بطريقة", "probability": 0.90869140625}, {"start": 1746.21, "end": 1748.69, "word": " محددة", "probability": 0.9899088541666666}, {"start": 1748.69, "end": 1749.89, "word": " لغارتماك", "probability": 0.5836995442708334}, {"start": 1749.89, "end": 1750.51, "word": " ديفرانشيان", "probability": 0.5601981026785714}, {"start": 1750.51, "end": 1750.67, "word": " يعني", "probability": 0.5841064453125}, {"start": 1750.67, "end": 1751.19, "word": " تأخذ", "probability": 0.58746337890625}, {"start": 1751.19, "end": 1752.01, "word": " التفاضل", "probability": 0.90576171875}, {"start": 1752.01, "end": 1752.91, "word": " اللغارتمي", "probability": 0.7978515625}, {"start": 1752.91, "end": 1753.15, "word": " يعني", "probability": 0.600341796875}, {"start": 1753.15, "end": 1754.13, "word": " التفاضل", "probability": 0.9388427734375}, {"start": 1754.13, "end": 1755.05, "word": " لمن؟", "probability": 0.6341959635416666}, {"start": 1755.05, "end": 1755.73, "word": " للن", "probability": 0.5418701171875}, {"start": 1755.73, "end": 1756.61, "word": " يجب", "probability": 0.7537434895833334}, {"start": 1756.61, "end": 1757.65, "word": " أن", "probability": 0.4189453125}, {"start": 1757.65, "end": 1759.03, "word": " تأخذ", "probability": 0.82598876953125}, {"start": 1759.03, "end": 1759.53, "word": " اللن", "probability": 0.51690673828125}, {"start": 1759.53, "end": 1760.11, "word": " للدرد", "probability": 0.7001953125}, {"start": 1760.11, "end": 1760.35, "word": " طبعا", "probability": 0.8583984375}, {"start": 1760.35, "end": 1760.71, "word": " بقدر", "probability": 0.6771647135416666}, {"start": 1760.71, "end": 1761.13, "word": " أفضلها", "probability": 0.767041015625}, {"start": 1761.13, "end": 1761.45, "word": " بدون", "probability": 0.98095703125}, {"start": 1761.45, "end": 1761.93, "word": " التفاضل", "probability": 0.9688720703125}, {"start": 1761.93, "end": 1762.55, "word": " اللغارتمي", "probability": 0.9417317708333334}], "temperature": 1.0}, {"id": 75, "seek": 178245, "start": 1763.01, "end": 1782.45, "text": "بدي أقول .. بدي أقول التفاضل هذه المقام في مشتقة الباص، نقص الباص في مشتقة المقام على مربى المقام، ما شاء الله عليها، مكلكة على كذا، تمام؟ إذا لما قال يوزي التفاضل اللي وارتني، بدي أروح أخد لن لق برفين، ثم أفاضل", "tokens": [3555, 16254, 5551, 39648, 4386, 4724, 16254, 5551, 39648, 16712, 5172, 46958, 1211, 29538, 9673, 4587, 10943, 8978, 37893, 2655, 28671, 29739, 33546, 12399, 8717, 4587, 9381, 29739, 33546, 8978, 37893, 2655, 28671, 9673, 4587, 10943, 15844, 3714, 25513, 7578, 9673, 4587, 10943, 12399, 19446, 13412, 16606, 21984, 25894, 11296, 12399, 3714, 28820, 4117, 3660, 15844, 9122, 15730, 12399, 46811, 10943, 22807, 11933, 15730, 5296, 15042, 50239, 7251, 2407, 11622, 1829, 16712, 5172, 46958, 1211, 13672, 1829, 4032, 9640, 2655, 22653, 12399, 4724, 16254, 5551, 32887, 5016, 5551, 9778, 3215, 5296, 1863, 5296, 4587, 4724, 28480, 9957, 12399, 38637, 2304, 5551, 5172, 46958, 1211], "avg_logprob": -0.2645833242507208, "compression_ratio": 1.9947368421052631, "no_speech_prob": 0.0, "words": [{"start": 1763.01, "end": 1763.37, "word": "بدي", "probability": 0.287109375}, {"start": 1763.37, "end": 1763.81, "word": " أقول", "probability": 0.6717529296875}, {"start": 1763.81, "end": 1763.97, "word": " ..", "probability": 0.1875}, {"start": 1763.97, "end": 1765.93, "word": " بدي", "probability": 0.8642578125}, {"start": 1765.93, "end": 1766.49, "word": " أقول", "probability": 0.98046875}, {"start": 1766.49, "end": 1767.91, "word": " التفاضل", "probability": 0.9403076171875}, {"start": 1767.91, "end": 1768.53, "word": " هذه", "probability": 0.66162109375}, {"start": 1768.53, "end": 1769.67, "word": " المقام", "probability": 0.8583984375}, {"start": 1769.67, "end": 1769.85, "word": " في", "probability": 0.96044921875}, {"start": 1769.85, "end": 1770.41, "word": " مشتقة", "probability": 0.8577473958333334}, {"start": 1770.41, "end": 1770.91, "word": " الباص،", "probability": 0.62060546875}, {"start": 1770.91, "end": 1771.21, "word": " نقص", "probability": 0.90087890625}, {"start": 1771.21, "end": 1771.47, "word": " الباص", "probability": 0.967529296875}, {"start": 1771.47, "end": 1771.57, "word": " في", "probability": 0.935546875}, {"start": 1771.57, "end": 1771.87, "word": " مشتقة", "probability": 0.9772135416666666}, {"start": 1771.87, "end": 1772.25, "word": " المقام", "probability": 0.9850260416666666}, {"start": 1772.25, "end": 1772.45, "word": " على", "probability": 0.6650390625}, {"start": 1772.45, "end": 1772.83, "word": " مربى", "probability": 0.662353515625}, {"start": 1772.83, "end": 1773.11, "word": " المقام،", "probability": 0.8060302734375}, {"start": 1773.11, "end": 1773.25, "word": " ما", "probability": 0.305419921875}, {"start": 1773.25, "end": 1773.49, "word": " شاء", "probability": 0.94677734375}, {"start": 1773.49, "end": 1773.57, "word": " الله", "probability": 0.96435546875}, {"start": 1773.57, "end": 1773.91, "word": " عليها،", "probability": 0.726318359375}, {"start": 1773.91, "end": 1774.39, "word": " مكلكة", "probability": 0.7154541015625}, {"start": 1774.39, "end": 1774.57, "word": " على", "probability": 0.6728515625}, {"start": 1774.57, "end": 1775.35, "word": " كذا،", "probability": 0.7169596354166666}, {"start": 1775.35, "end": 1776.61, "word": " تمام؟", "probability": 0.8909505208333334}, {"start": 1776.61, "end": 1777.01, "word": " إذا", "probability": 0.670654296875}, {"start": 1777.01, "end": 1777.29, "word": " لما", "probability": 0.8193359375}, {"start": 1777.29, "end": 1777.57, "word": " قال", "probability": 0.84765625}, {"start": 1777.57, "end": 1777.93, "word": " يوزي", "probability": 0.8018798828125}, {"start": 1777.93, "end": 1778.43, "word": " التفاضل", "probability": 0.947998046875}, {"start": 1778.43, "end": 1778.55, "word": " اللي", "probability": 0.9560546875}, {"start": 1778.55, "end": 1778.99, "word": " وارتني،", "probability": 0.705419921875}, {"start": 1778.99, "end": 1779.17, "word": " بدي", "probability": 0.832275390625}, {"start": 1779.17, "end": 1779.37, "word": " أروح", "probability": 0.83984375}, {"start": 1779.37, "end": 1779.83, "word": " أخد", "probability": 0.8038736979166666}, {"start": 1779.83, "end": 1780.27, "word": " لن", "probability": 0.72265625}, {"start": 1780.27, "end": 1780.63, "word": " لق", "probability": 0.699951171875}, {"start": 1780.63, "end": 1781.57, "word": " برفين،", "probability": 0.69061279296875}, {"start": 1781.57, "end": 1781.87, "word": " ثم", "probability": 0.994873046875}, {"start": 1781.87, "end": 1782.45, "word": " أفاضل", "probability": 0.9345703125}], "temperature": 1.0}, {"id": 76, "seek": 180464, "start": 1782.54, "end": 1804.64, "text": "إيش رايك احنا بدل السؤال اتنين هاي و هذا و اين راح ال X هذا و اللي جابله ال X استانكس اشتغلناهم تفاض اللغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة لغة", "tokens": [28814, 1829, 8592, 12602, 47302, 4117, 1975, 5016, 8315, 47525, 1211, 21136, 33604, 6027, 1975, 2655, 1863, 9957, 8032, 47302, 4032, 23758, 4032, 1975, 9957, 12602, 39319, 2423, 1783, 23758, 4032, 13672, 1829, 10874, 16758, 43761, 2423, 1783, 44713, 7649, 4117, 3794, 1975, 8592, 2655, 17082, 1211, 8315, 16095, 6055, 5172, 46958, 13672, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660, 5296, 17082, 3660], "avg_logprob": -0.25365071151858176, "compression_ratio": 2.390625, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1782.54, "end": 1783.16, "word": "إيش", "probability": 0.6364339192708334}, {"start": 1783.16, "end": 1783.54, "word": " رايك", "probability": 0.8346354166666666}, {"start": 1783.54, "end": 1783.98, "word": " احنا", "probability": 0.7722981770833334}, {"start": 1783.98, "end": 1784.36, "word": " بدل", "probability": 0.985595703125}, {"start": 1784.36, "end": 1785.1, "word": " السؤال", "probability": 0.9903971354166666}, {"start": 1785.1, "end": 1786.04, "word": " اتنين", "probability": 0.87158203125}, {"start": 1786.04, "end": 1786.74, "word": " هاي", "probability": 0.4512939453125}, {"start": 1786.74, "end": 1786.86, "word": " و", "probability": 0.8310546875}, {"start": 1786.86, "end": 1787.12, "word": " هذا", "probability": 0.8212890625}, {"start": 1787.12, "end": 1787.28, "word": " و", "probability": 0.95166015625}, {"start": 1787.28, "end": 1787.44, "word": " اين", "probability": 0.4617919921875}, {"start": 1787.44, "end": 1787.72, "word": " راح", "probability": 0.937744140625}, {"start": 1787.72, "end": 1788.22, "word": " ال", "probability": 0.81494140625}, {"start": 1788.22, "end": 1788.52, "word": " X", "probability": 0.6142578125}, {"start": 1788.52, "end": 1789.08, "word": " هذا", "probability": 0.70458984375}, {"start": 1789.08, "end": 1789.8, "word": " و", "probability": 0.87158203125}, {"start": 1789.8, "end": 1790.2, "word": " اللي", "probability": 0.8076171875}, {"start": 1790.2, "end": 1790.56, "word": " جابله", "probability": 0.9656575520833334}, {"start": 1790.56, "end": 1790.7, "word": " ال", "probability": 0.9521484375}, {"start": 1790.7, "end": 1790.94, "word": " X", "probability": 0.9833984375}, {"start": 1790.94, "end": 1791.74, "word": " استانكس", "probability": 0.6950531005859375}, {"start": 1791.74, "end": 1792.58, "word": " اشتغلناهم", "probability": 0.8848353794642857}, {"start": 1792.58, "end": 1793.02, "word": " تفاض", "probability": 0.9739583333333334}, {"start": 1793.02, "end": 1793.48, "word": " اللغة", "probability": 0.7101236979166666}, {"start": 1793.48, "end": 1793.64, "word": " لغة", "probability": 0.693359375}, {"start": 1793.64, "end": 1793.76, "word": " لغة", "probability": 0.7802734375}, {"start": 1793.76, "end": 1793.76, "word": " لغة", "probability": 0.8727213541666666}, {"start": 1793.76, "end": 1793.76, "word": " لغة", "probability": 0.8566080729166666}, {"start": 1793.76, "end": 1793.82, "word": " لغة", "probability": 0.853515625}, {"start": 1793.82, "end": 1793.86, "word": " لغة", "probability": 0.8673502604166666}, {"start": 1793.86, "end": 1793.92, "word": " لغة", "probability": 0.8841145833333334}, {"start": 1793.92, "end": 1794.02, "word": " لغة", "probability": 0.8992513020833334}, {"start": 1794.02, "end": 1794.08, "word": " لغة", "probability": 0.9137369791666666}, {"start": 1794.08, "end": 1794.86, "word": " لغة", "probability": 0.923828125}, {"start": 1794.86, "end": 1794.88, "word": " لغة", "probability": 0.9353841145833334}, {"start": 1794.88, "end": 1794.88, "word": " لغة", "probability": 0.943359375}, {"start": 1794.88, "end": 1795.04, "word": " لغة", "probability": 0.9505208333333334}, {"start": 1795.04, "end": 1795.04, "word": " لغة", "probability": 0.9578450520833334}, {"start": 1795.04, "end": 1795.34, "word": " لغة", "probability": 0.962890625}, {"start": 1795.34, "end": 1796.36, "word": " لغة", "probability": 0.9677734375}, {"start": 1796.36, "end": 1804.64, "word": " لغة", "probability": 0.9715169270833334}], "temperature": 1.0}, {"id": 77, "seek": 182526, "start": 1804.66, "end": 1825.26, "text": "كويس؟ يبقى هنا جالك تفاض اللغة الرتمية، ماجالش حتى لو ماجالش أفضل حاجة أو أسهل حاجة تروح تاخد مين؟ اللن للطرفين و بعدين تروح تشتغل مين؟ شغل تبعك، إذا لو جيت أخدت اللن للطرفين، تصير اللن شمال بدي ساوي مين؟", "tokens": [4117, 45865, 3794, 22807, 7251, 3555, 4587, 7578, 34105, 10874, 6027, 4117, 6055, 5172, 46958, 13672, 17082, 3660, 34892, 39237, 10632, 12399, 19446, 7435, 6027, 8592, 11331, 49975, 45164, 19446, 7435, 6027, 8592, 5551, 5172, 11242, 1211, 11331, 26108, 3660, 34051, 5551, 3794, 3224, 1211, 11331, 26108, 3660, 6055, 32887, 5016, 6055, 47283, 3215, 3714, 9957, 22807, 13672, 1863, 24976, 9566, 28480, 9957, 4032, 39182, 9957, 6055, 32887, 5016, 6055, 8592, 2655, 17082, 1211, 3714, 9957, 22807, 13412, 17082, 1211, 6055, 3555, 3615, 4117, 12399, 11933, 15730, 45164, 10874, 36081, 5551, 9778, 3215, 2655, 13672, 1863, 24976, 9566, 28480, 9957, 12399, 6055, 9381, 13546, 13672, 1863, 13412, 2304, 6027, 4724, 16254, 8608, 995, 45865, 3714, 9957, 22807], "avg_logprob": -0.19650423665673045, "compression_ratio": 1.921875, "no_speech_prob": 0.0, "words": [{"start": 1804.66, "end": 1805.4, "word": "كويس؟", "probability": 0.5463180541992188}, {"start": 1805.4, "end": 1806.08, "word": " يبقى", "probability": 0.95654296875}, {"start": 1806.08, "end": 1806.44, "word": " هنا", "probability": 0.97509765625}, {"start": 1806.44, "end": 1807.3, "word": " جالك", "probability": 0.7373046875}, {"start": 1807.3, "end": 1807.82, "word": " تفاض", "probability": 0.9837239583333334}, {"start": 1807.82, "end": 1808.34, "word": " اللغة", "probability": 0.8909505208333334}, {"start": 1808.34, "end": 1808.86, "word": " الرتمية،", "probability": 0.5682373046875}, {"start": 1808.86, "end": 1809.64, "word": " ماجالش", "probability": 0.8172607421875}, {"start": 1809.64, "end": 1810.34, "word": " حتى", "probability": 0.800537109375}, {"start": 1810.34, "end": 1810.5, "word": " لو", "probability": 0.98193359375}, {"start": 1810.5, "end": 1811.16, "word": " ماجالش", "probability": 0.9622802734375}, {"start": 1811.16, "end": 1812.02, "word": " أفضل", "probability": 0.92138671875}, {"start": 1812.02, "end": 1812.4, "word": " حاجة", "probability": 0.9905598958333334}, {"start": 1812.4, "end": 1812.54, "word": " أو", "probability": 0.81787109375}, {"start": 1812.54, "end": 1812.88, "word": " أسهل", "probability": 0.9910888671875}, {"start": 1812.88, "end": 1813.08, "word": " حاجة", "probability": 0.9959309895833334}, {"start": 1813.08, "end": 1813.3, "word": " تروح", "probability": 0.990234375}, {"start": 1813.3, "end": 1813.62, "word": " تاخد", "probability": 0.9851888020833334}, {"start": 1813.62, "end": 1814.7, "word": " مين؟", "probability": 0.7017415364583334}, {"start": 1814.7, "end": 1815.24, "word": " اللن", "probability": 0.48046875}, {"start": 1815.24, "end": 1816.0, "word": " للطرفين", "probability": 0.9630126953125}, {"start": 1816.0, "end": 1816.08, "word": " و", "probability": 0.3623046875}, {"start": 1816.08, "end": 1816.42, "word": " بعدين", "probability": 0.9072265625}, {"start": 1816.42, "end": 1816.76, "word": " تروح", "probability": 0.9599609375}, {"start": 1816.76, "end": 1817.18, "word": " تشتغل", "probability": 0.99599609375}, {"start": 1817.18, "end": 1817.92, "word": " مين؟", "probability": 0.8743489583333334}, {"start": 1817.92, "end": 1818.3, "word": " شغل", "probability": 0.8450520833333334}, {"start": 1818.3, "end": 1818.76, "word": " تبعك،", "probability": 0.8369140625}, {"start": 1818.76, "end": 1819.14, "word": " إذا", "probability": 0.718994140625}, {"start": 1819.14, "end": 1820.02, "word": " لو", "probability": 0.9501953125}, {"start": 1820.02, "end": 1820.28, "word": " جيت", "probability": 0.953125}, {"start": 1820.28, "end": 1820.84, "word": " أخدت", "probability": 0.9193115234375}, {"start": 1820.84, "end": 1821.32, "word": " اللن", "probability": 0.85498046875}, {"start": 1821.32, "end": 1822.32, "word": " للطرفين،", "probability": 0.92763671875}, {"start": 1822.32, "end": 1822.74, "word": " تصير", "probability": 0.8387044270833334}, {"start": 1822.74, "end": 1823.28, "word": " اللن", "probability": 0.986083984375}, {"start": 1823.28, "end": 1823.98, "word": " شمال", "probability": 0.8818359375}, {"start": 1823.98, "end": 1824.26, "word": " بدي", "probability": 0.4517822265625}, {"start": 1824.26, "end": 1824.58, "word": " ساوي", "probability": 0.7215983072916666}, {"start": 1824.58, "end": 1825.26, "word": " مين؟", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 78, "seek": 184590, "start": 1825.64, "end": 1845.9, "text": "لأن الطرف اليمين خارق قسم الدلتين يبقى لن الباصد ناقص لن المقاد يبقى لن X الجدرى التربية إلى X تربية زائد واحد ناقص لن خمسة X زائد واحد أس طولتين", "tokens": [1211, 33456, 41950, 28480, 2423, 32640, 9957, 16490, 9640, 4587, 12174, 38251, 32748, 1211, 2655, 9957, 7251, 3555, 4587, 7578, 5296, 1863, 29739, 33546, 3215, 8717, 995, 4587, 9381, 5296, 1863, 9673, 4587, 18513, 7251, 3555, 4587, 7578, 5296, 1863, 1783, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 30731, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 8717, 995, 4587, 9381, 5296, 1863, 16490, 2304, 3794, 3660, 1783, 30767, 16373, 3215, 36764, 24401, 5551, 3794, 23032, 12610, 2655, 9957], "avg_logprob": -0.19212962668619038, "compression_ratio": 1.8428571428571427, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1825.64, "end": 1826.08, "word": "لأن", "probability": 0.5552978515625}, {"start": 1826.08, "end": 1826.48, "word": " الطرف", "probability": 0.955810546875}, {"start": 1826.48, "end": 1827.04, "word": " اليمين", "probability": 0.7470703125}, {"start": 1827.04, "end": 1828.7, "word": " خارق", "probability": 0.79248046875}, {"start": 1828.7, "end": 1829.04, "word": " قسم", "probability": 0.786865234375}, {"start": 1829.04, "end": 1829.92, "word": " الدلتين", "probability": 0.8746337890625}, {"start": 1829.92, "end": 1830.3, "word": " يبقى", "probability": 0.937744140625}, {"start": 1830.3, "end": 1830.5, "word": " لن", "probability": 0.5377197265625}, {"start": 1830.5, "end": 1831.48, "word": " الباصد", "probability": 0.5867513020833334}, {"start": 1831.48, "end": 1832.06, "word": " ناقص", "probability": 0.968994140625}, {"start": 1832.06, "end": 1832.36, "word": " لن", "probability": 0.944091796875}, {"start": 1832.36, "end": 1833.18, "word": " المقاد", "probability": 0.7749837239583334}, {"start": 1833.18, "end": 1834.22, "word": " يبقى", "probability": 0.9652099609375}, {"start": 1834.22, "end": 1834.7, "word": " لن", "probability": 0.980712890625}, {"start": 1834.7, "end": 1835.38, "word": " X", "probability": 0.31982421875}, {"start": 1835.38, "end": 1836.26, "word": " الجدرى", "probability": 0.831298828125}, {"start": 1836.26, "end": 1836.8, "word": " التربية", "probability": 0.91162109375}, {"start": 1836.8, "end": 1837.02, "word": " إلى", "probability": 0.6484375}, {"start": 1837.02, "end": 1837.34, "word": " X", "probability": 0.95458984375}, {"start": 1837.34, "end": 1837.86, "word": " تربية", "probability": 0.8828125}, {"start": 1837.86, "end": 1838.36, "word": " زائد", "probability": 0.884765625}, {"start": 1838.36, "end": 1838.86, "word": " واحد", "probability": 0.96923828125}, {"start": 1838.86, "end": 1840.18, "word": " ناقص", "probability": 0.988525390625}, {"start": 1840.18, "end": 1840.92, "word": " لن", "probability": 0.950927734375}, {"start": 1840.92, "end": 1842.04, "word": " خمسة", "probability": 0.8865966796875}, {"start": 1842.04, "end": 1842.4, "word": " X", "probability": 0.96337890625}, {"start": 1842.4, "end": 1843.14, "word": " زائد", "probability": 0.9658203125}, {"start": 1843.14, "end": 1843.9, "word": " واحد", "probability": 0.983154296875}, {"start": 1843.9, "end": 1844.62, "word": " أس", "probability": 0.6627197265625}, {"start": 1844.62, "end": 1845.9, "word": " طولتين", "probability": 0.788330078125}], "temperature": 1.0}, {"id": 79, "seek": 187685, "start": 1847.49, "end": 1876.85, "text": "بنبسطها أكتر لإن ال y يساوي لإن ال x زائد لإن الجدرى التربية ال x تربية زائد واحد كميتين مضربتين في بعض يبقى لإن الأولى زائد لإن الثانية هذه كمان تعتبر كمية وهذه كمية لحالها يبقى ناقص لإن الخمسة ناقص لإن x زائد واحد أس تلتين", "tokens": [3555, 1863, 3555, 3794, 9566, 11296, 5551, 4117, 2655, 2288, 5296, 28814, 1863, 2423, 288, 7251, 3794, 995, 45865, 5296, 28814, 1863, 2423, 2031, 30767, 16373, 3215, 5296, 28814, 1863, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 2423, 2031, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 9122, 2304, 36081, 9957, 3714, 11242, 25513, 2655, 9957, 8978, 45030, 11242, 7251, 3555, 4587, 7578, 5296, 28814, 1863, 16247, 12610, 7578, 30767, 16373, 3215, 5296, 28814, 1863, 6024, 104, 7649, 10632, 29538, 9122, 2304, 7649, 6055, 34268, 26890, 9122, 2304, 10632, 37037, 24192, 9122, 2304, 10632, 5296, 5016, 6027, 11296, 7251, 3555, 4587, 7578, 8717, 995, 4587, 9381, 5296, 28814, 1863, 33962, 2304, 3794, 3660, 8717, 995, 4587, 9381, 5296, 28814, 1863, 2031, 30767, 16373, 3215, 36764, 24401, 5551, 3794, 6055, 1211, 2655, 9957], "avg_logprob": -0.14626409505542956, "compression_ratio": 2.1336898395721926, "no_speech_prob": 0.0, "words": [{"start": 1847.49, "end": 1848.53, "word": "بنبسطها", "probability": 0.82177734375}, {"start": 1848.53, "end": 1849.01, "word": " أكتر", "probability": 0.84698486328125}, {"start": 1849.01, "end": 1849.53, "word": " لإن", "probability": 0.6078287760416666}, {"start": 1849.53, "end": 1849.77, "word": " ال", "probability": 0.88232421875}, {"start": 1849.77, "end": 1850.13, "word": " y", "probability": 0.1920166015625}, {"start": 1850.13, "end": 1850.77, "word": " يساوي", "probability": 0.74395751953125}, {"start": 1850.77, "end": 1852.27, "word": " لإن", "probability": 0.86328125}, {"start": 1852.27, "end": 1852.55, "word": " ال", "probability": 0.87744140625}, {"start": 1852.55, "end": 1852.97, "word": " x", "probability": 0.826171875}, {"start": 1852.97, "end": 1854.09, "word": " زائد", "probability": 0.89453125}, {"start": 1854.09, "end": 1855.49, "word": " لإن", "probability": 0.8175455729166666}, {"start": 1855.49, "end": 1856.17, "word": " الجدرى", "probability": 0.669036865234375}, {"start": 1856.17, "end": 1856.79, "word": " التربية", "probability": 0.8255208333333334}, {"start": 1856.79, "end": 1856.97, "word": " ال", "probability": 0.35107421875}, {"start": 1856.97, "end": 1857.21, "word": " x", "probability": 0.79150390625}, {"start": 1857.21, "end": 1857.67, "word": " تربية", "probability": 0.8466796875}, {"start": 1857.67, "end": 1858.03, "word": " زائد", "probability": 0.90625}, {"start": 1858.03, "end": 1858.41, "word": " واحد", "probability": 0.86669921875}, {"start": 1858.41, "end": 1859.75, "word": " كميتين", "probability": 0.93115234375}, {"start": 1859.75, "end": 1860.47, "word": " مضربتين", "probability": 0.9533203125}, {"start": 1860.47, "end": 1860.65, "word": " في", "probability": 0.9658203125}, {"start": 1860.65, "end": 1861.07, "word": " بعض", "probability": 0.9921875}, {"start": 1861.07, "end": 1861.35, "word": " يبقى", "probability": 0.9190673828125}, {"start": 1861.35, "end": 1861.57, "word": " لإن", "probability": 0.9645182291666666}, {"start": 1861.57, "end": 1862.17, "word": " الأولى", "probability": 0.9376627604166666}, {"start": 1862.17, "end": 1862.59, "word": " زائد", "probability": 0.9638671875}, {"start": 1862.59, "end": 1863.27, "word": " لإن", "probability": 0.8873697916666666}, {"start": 1863.27, "end": 1864.21, "word": " الثانية", "probability": 0.955078125}, {"start": 1864.21, "end": 1865.11, "word": " هذه", "probability": 0.552734375}, {"start": 1865.11, "end": 1865.57, "word": " كمان", "probability": 0.9532877604166666}, {"start": 1865.57, "end": 1866.13, "word": " تعتبر", "probability": 0.9695638020833334}, {"start": 1866.13, "end": 1866.73, "word": " كمية", "probability": 0.9969075520833334}, {"start": 1866.73, "end": 1867.19, "word": " وهذه", "probability": 0.74951171875}, {"start": 1867.19, "end": 1867.71, "word": " كمية", "probability": 0.9969075520833334}, {"start": 1867.71, "end": 1868.45, "word": " لحالها", "probability": 0.967529296875}, {"start": 1868.45, "end": 1869.51, "word": " يبقى", "probability": 0.9849853515625}, {"start": 1869.51, "end": 1870.37, "word": " ناقص", "probability": 0.987548828125}, {"start": 1870.37, "end": 1870.89, "word": " لإن", "probability": 0.9563802083333334}, {"start": 1870.89, "end": 1872.07, "word": " الخمسة", "probability": 0.955322265625}, {"start": 1872.07, "end": 1872.87, "word": " ناقص", "probability": 0.9945068359375}, {"start": 1872.87, "end": 1873.83, "word": " لإن", "probability": 0.9853515625}, {"start": 1873.83, "end": 1874.31, "word": " x", "probability": 0.78564453125}, {"start": 1874.31, "end": 1875.15, "word": " زائد", "probability": 0.9611002604166666}, {"start": 1875.15, "end": 1875.79, "word": " واحد", "probability": 0.97021484375}, {"start": 1875.79, "end": 1876.23, "word": " أس", "probability": 0.69189453125}, {"start": 1876.23, "end": 1876.85, "word": " تلتين", "probability": 0.8690185546875}], "temperature": 1.0}, {"id": 80, "seek": 190524, "start": 1877.22, "end": 1905.24, "text": "صحك تاتي ايك ناقص ناقص صحيح ان مائة بالمائة بيقول ناقص افتح جوز لن الاولى زايد لن التانى الناقص بدخل على كل واحدة منهم فبنقدر نبسط اكتر كمان يبقى هذا الكلام اللي هو لن ال Y بديه يسوى لن ال X زايد نص اللي هو لن X تربيع زايد واحد", "tokens": [9381, 5016, 4117, 6055, 9307, 1829, 1975, 1829, 4117, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 20328, 5016, 1829, 5016, 16472, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 4724, 1829, 39648, 8717, 995, 4587, 9381, 1975, 5172, 2655, 5016, 10874, 2407, 11622, 5296, 1863, 42963, 12610, 7578, 30767, 995, 25708, 5296, 1863, 16712, 7649, 7578, 28239, 995, 4587, 9381, 47525, 9778, 1211, 15844, 28242, 36764, 24401, 3660, 9154, 16095, 6156, 3555, 1863, 28543, 2288, 8717, 3555, 3794, 9566, 1975, 4117, 2655, 2288, 9122, 2304, 7649, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 13672, 1829, 31439, 5296, 1863, 2423, 398, 4724, 16254, 3224, 7251, 3794, 2407, 7578, 5296, 1863, 2423, 1783, 30767, 995, 25708, 8717, 9381, 13672, 1829, 31439, 5296, 1863, 1783, 6055, 2288, 21292, 3615, 30767, 995, 25708, 36764, 24401], "avg_logprob": -0.23014567534726366, "compression_ratio": 2.01, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1877.22, "end": 1877.88, "word": "صحك", "probability": 0.5056559244791666}, {"start": 1877.88, "end": 1878.3, "word": " تاتي", "probability": 0.8136393229166666}, {"start": 1878.3, "end": 1878.52, "word": " ايك", "probability": 0.5738932291666666}, {"start": 1878.52, "end": 1879.02, "word": " ناقص", "probability": 0.9339599609375}, {"start": 1879.02, "end": 1879.62, "word": " ناقص", "probability": 0.971435546875}, {"start": 1879.62, "end": 1881.12, "word": " صحيح", "probability": 0.9617919921875}, {"start": 1881.12, "end": 1881.32, "word": " ان", "probability": 0.279296875}, {"start": 1881.32, "end": 1881.62, "word": " مائة", "probability": 0.65966796875}, {"start": 1881.62, "end": 1882.1, "word": " بالمائة", "probability": 0.919921875}, {"start": 1882.1, "end": 1882.44, "word": " بيقول", "probability": 0.85986328125}, {"start": 1882.44, "end": 1883.62, "word": " ناقص", "probability": 0.983154296875}, {"start": 1883.62, "end": 1884.34, "word": " افتح", "probability": 0.9437255859375}, {"start": 1884.34, "end": 1884.8, "word": " جوز", "probability": 0.7027994791666666}, {"start": 1884.8, "end": 1885.46, "word": " لن", "probability": 0.7408447265625}, {"start": 1885.46, "end": 1885.98, "word": " الاولى", "probability": 0.8092447916666666}, {"start": 1885.98, "end": 1886.28, "word": " زايد", "probability": 0.6956787109375}, {"start": 1886.28, "end": 1886.52, "word": " لن", "probability": 0.9541015625}, {"start": 1886.52, "end": 1886.98, "word": " التانى", "probability": 0.8898111979166666}, {"start": 1886.98, "end": 1887.44, "word": " الناقص", "probability": 0.72186279296875}, {"start": 1887.44, "end": 1887.82, "word": " بدخل", "probability": 0.78857421875}, {"start": 1887.82, "end": 1888.02, "word": " على", "probability": 0.7919921875}, {"start": 1888.02, "end": 1888.28, "word": " كل", "probability": 0.97900390625}, {"start": 1888.28, "end": 1888.88, "word": " واحدة", "probability": 0.9249674479166666}, {"start": 1888.88, "end": 1890.0, "word": " منهم", "probability": 0.952880859375}, {"start": 1890.0, "end": 1890.78, "word": " فبنقدر", "probability": 0.7961669921875}, {"start": 1890.78, "end": 1891.32, "word": " نبسط", "probability": 0.95654296875}, {"start": 1891.32, "end": 1891.8, "word": " اكتر", "probability": 0.95654296875}, {"start": 1891.8, "end": 1892.32, "word": " كمان", "probability": 0.9811197916666666}, {"start": 1892.32, "end": 1893.14, "word": " يبقى", "probability": 0.77032470703125}, {"start": 1893.14, "end": 1893.46, "word": " هذا", "probability": 0.93603515625}, {"start": 1893.46, "end": 1894.2, "word": " الكلام", "probability": 0.9625651041666666}, {"start": 1894.2, "end": 1894.4, "word": " اللي", "probability": 0.8134765625}, {"start": 1894.4, "end": 1894.58, "word": " هو", "probability": 0.9619140625}, {"start": 1894.58, "end": 1895.0, "word": " لن", "probability": 0.968017578125}, {"start": 1895.0, "end": 1895.2, "word": " ال", "probability": 0.9697265625}, {"start": 1895.2, "end": 1895.6, "word": " Y", "probability": 0.499755859375}, {"start": 1895.6, "end": 1896.36, "word": " بديه", "probability": 0.398193359375}, {"start": 1896.36, "end": 1896.7, "word": " يسوى", "probability": 0.74139404296875}, {"start": 1896.7, "end": 1897.06, "word": " لن", "probability": 0.98291015625}, {"start": 1897.06, "end": 1897.34, "word": " ال", "probability": 0.87744140625}, {"start": 1897.34, "end": 1897.72, "word": " X", "probability": 0.9677734375}, {"start": 1897.72, "end": 1898.88, "word": " زايد", "probability": 0.8147786458333334}, {"start": 1898.88, "end": 1899.56, "word": " نص", "probability": 0.981201171875}, {"start": 1899.56, "end": 1900.72, "word": " اللي", "probability": 0.97216796875}, {"start": 1900.72, "end": 1900.98, "word": " هو", "probability": 0.9677734375}, {"start": 1900.98, "end": 1901.72, "word": " لن", "probability": 0.9775390625}, {"start": 1901.72, "end": 1902.48, "word": " X", "probability": 0.9560546875}, {"start": 1902.48, "end": 1903.32, "word": " تربيع", "probability": 0.71240234375}, {"start": 1903.32, "end": 1904.46, "word": " زايد", "probability": 0.9270833333333334}, {"start": 1904.46, "end": 1905.24, "word": " واحد", "probability": 0.966064453125}], "temperature": 1.0}, {"id": 81, "seek": 193291, "start": 1908.17, "end": 1932.91, "text": "تمام؟ و هنا ناقص لن الخمسة و ناقص تلتين لن ال X زائد واحد اكتر من هكتر شيء مافيش، تمام؟ يبقى بقدر اقوله هذا الكلام بدي ابدأ اشتقه يبقى مشتقة لن ال Y عبارة عن مين؟ واحد على Y في ال Y'", "tokens": [2655, 15042, 2304, 22807, 4032, 34105, 8717, 995, 4587, 9381, 5296, 1863, 33962, 2304, 3794, 3660, 4032, 8717, 995, 4587, 9381, 6055, 1211, 2655, 9957, 5296, 1863, 2423, 1783, 30767, 16373, 3215, 36764, 24401, 1975, 4117, 2655, 2288, 9154, 8032, 4117, 2655, 2288, 44049, 38207, 19446, 41185, 8592, 12399, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 4724, 28543, 2288, 1975, 39648, 3224, 23758, 2423, 28820, 10943, 4724, 16254, 1975, 44510, 10721, 1975, 8592, 2655, 4587, 3224, 7251, 3555, 4587, 7578, 37893, 2655, 28671, 5296, 1863, 2423, 398, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 22807, 36764, 24401, 15844, 398, 8978, 2423, 398, 6], "avg_logprob": -0.25090144689266497, "compression_ratio": 1.7472527472527473, "no_speech_prob": 0.0, "words": [{"start": 1908.17, "end": 1908.97, "word": "تمام؟", "probability": 0.5360107421875}, {"start": 1908.97, "end": 1909.19, "word": " و", "probability": 0.5888671875}, {"start": 1909.19, "end": 1909.41, "word": " هنا", "probability": 0.81201171875}, {"start": 1909.41, "end": 1910.07, "word": " ناقص", "probability": 0.94189453125}, {"start": 1910.07, "end": 1910.47, "word": " لن", "probability": 0.5870361328125}, {"start": 1910.47, "end": 1911.57, "word": " الخمسة", "probability": 0.9552001953125}, {"start": 1911.57, "end": 1911.87, "word": " و", "probability": 0.8515625}, {"start": 1911.87, "end": 1912.57, "word": " ناقص", "probability": 0.925048828125}, {"start": 1912.57, "end": 1913.95, "word": " تلتين", "probability": 0.8765869140625}, {"start": 1913.95, "end": 1915.57, "word": " لن", "probability": 0.950927734375}, {"start": 1915.57, "end": 1915.91, "word": " ال", "probability": 0.7001953125}, {"start": 1915.91, "end": 1916.43, "word": " X", "probability": 0.442626953125}, {"start": 1916.43, "end": 1917.63, "word": " زائد", "probability": 0.876953125}, {"start": 1917.63, "end": 1918.17, "word": " واحد", "probability": 0.97705078125}, {"start": 1918.17, "end": 1920.45, "word": " اكتر", "probability": 0.859375}, {"start": 1920.45, "end": 1920.59, "word": " من", "probability": 0.9677734375}, {"start": 1920.59, "end": 1920.97, "word": " هكتر", "probability": 0.6939697265625}, {"start": 1920.97, "end": 1921.29, "word": " شيء", "probability": 0.5880126953125}, {"start": 1921.29, "end": 1922.43, "word": " مافيش،", "probability": 0.747650146484375}, {"start": 1922.43, "end": 1923.47, "word": " تمام؟", "probability": 0.8567708333333334}, {"start": 1923.47, "end": 1923.81, "word": " يبقى", "probability": 0.9681396484375}, {"start": 1923.81, "end": 1924.21, "word": " بقدر", "probability": 0.9615885416666666}, {"start": 1924.21, "end": 1924.65, "word": " اقوله", "probability": 0.7669270833333334}, {"start": 1924.65, "end": 1925.01, "word": " هذا", "probability": 0.89892578125}, {"start": 1925.01, "end": 1925.55, "word": " الكلام", "probability": 0.9607747395833334}, {"start": 1925.55, "end": 1925.81, "word": " بدي", "probability": 0.6158447265625}, {"start": 1925.81, "end": 1926.15, "word": " ابدأ", "probability": 0.7932942708333334}, {"start": 1926.15, "end": 1927.01, "word": " اشتقه", "probability": 0.796142578125}, {"start": 1927.01, "end": 1927.57, "word": " يبقى", "probability": 0.935302734375}, {"start": 1927.57, "end": 1928.25, "word": " مشتقة", "probability": 0.8904622395833334}, {"start": 1928.25, "end": 1928.65, "word": " لن", "probability": 0.984130859375}, {"start": 1928.65, "end": 1928.87, "word": " ال", "probability": 0.97265625}, {"start": 1928.87, "end": 1929.05, "word": " Y", "probability": 0.6015625}, {"start": 1929.05, "end": 1929.59, "word": " عبارة", "probability": 0.7176513671875}, {"start": 1929.59, "end": 1929.77, "word": " عن", "probability": 0.99267578125}, {"start": 1929.77, "end": 1930.43, "word": " مين؟", "probability": 0.8287760416666666}, {"start": 1930.43, "end": 1931.41, "word": " واحد", "probability": 0.87255859375}, {"start": 1931.41, "end": 1931.81, "word": " على", "probability": 0.6328125}, {"start": 1931.81, "end": 1932.35, "word": " Y", "probability": 0.96923828125}, {"start": 1932.35, "end": 1932.57, "word": " في", "probability": 0.95947265625}, {"start": 1932.57, "end": 1932.71, "word": " ال", "probability": 0.95703125}, {"start": 1932.71, "end": 1932.91, "word": " Y'", "probability": 0.595703125}], "temperature": 1.0}, {"id": 82, "seek": 195644, "start": 1933.92, "end": 1956.44, "text": "مشتقة لن الاكس واحد على اكس زائد نص و هنا واحد على اكس تربية زائد واحد في مشتقة مداخل اللن اللي هو الجداش اتنين اكس ناقص لن الخمسة مشتقة واحد على خمسة يعني خمس مظبوط هيك؟", "tokens": [2304, 8592, 2655, 28671, 5296, 1863, 42963, 4117, 3794, 36764, 24401, 15844, 1975, 4117, 3794, 30767, 16373, 3215, 8717, 9381, 4032, 34105, 36764, 24401, 15844, 1975, 4117, 3794, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 13672, 1863, 13672, 1829, 31439, 25724, 3215, 33599, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 8717, 995, 4587, 9381, 5296, 1863, 33962, 2304, 3794, 3660, 37893, 2655, 28671, 36764, 24401, 15844, 16490, 2304, 3794, 3660, 37495, 22653, 16490, 2304, 3794, 3714, 19913, 3555, 2407, 9566, 39896, 4117, 22807], "avg_logprob": -0.17179098821455432, "compression_ratio": 2.0065789473684212, "no_speech_prob": 0.0, "words": [{"start": 1933.92, "end": 1934.66, "word": "مشتقة", "probability": 0.8433837890625}, {"start": 1934.66, "end": 1935.0, "word": " لن", "probability": 0.885498046875}, {"start": 1935.0, "end": 1935.6, "word": " الاكس", "probability": 0.7278238932291666}, {"start": 1935.6, "end": 1936.48, "word": " واحد", "probability": 0.66943359375}, {"start": 1936.48, "end": 1936.74, "word": " على", "probability": 0.5732421875}, {"start": 1936.74, "end": 1937.22, "word": " اكس", "probability": 0.9091796875}, {"start": 1937.22, "end": 1938.24, "word": " زائد", "probability": 0.8028971354166666}, {"start": 1938.24, "end": 1939.56, "word": " نص", "probability": 0.917236328125}, {"start": 1939.56, "end": 1940.12, "word": " و", "probability": 0.291748046875}, {"start": 1940.12, "end": 1940.34, "word": " هنا", "probability": 0.60107421875}, {"start": 1940.34, "end": 1941.12, "word": " واحد", "probability": 0.961181640625}, {"start": 1941.12, "end": 1941.8, "word": " على", "probability": 0.8583984375}, {"start": 1941.8, "end": 1942.18, "word": " اكس", "probability": 0.9637044270833334}, {"start": 1942.18, "end": 1942.76, "word": " تربية", "probability": 0.767578125}, {"start": 1942.76, "end": 1943.8, "word": " زائد", "probability": 0.96484375}, {"start": 1943.8, "end": 1944.5, "word": " واحد", "probability": 0.986083984375}, {"start": 1944.5, "end": 1945.14, "word": " في", "probability": 0.90625}, {"start": 1945.14, "end": 1945.94, "word": " مشتقة", "probability": 0.9137369791666666}, {"start": 1945.94, "end": 1946.62, "word": " مداخل", "probability": 0.958251953125}, {"start": 1946.62, "end": 1946.98, "word": " اللن", "probability": 0.959716796875}, {"start": 1946.98, "end": 1947.08, "word": " اللي", "probability": 0.94482421875}, {"start": 1947.08, "end": 1947.2, "word": " هو", "probability": 0.9912109375}, {"start": 1947.2, "end": 1947.92, "word": " الجداش", "probability": 0.6875}, {"start": 1947.92, "end": 1949.08, "word": " اتنين", "probability": 0.8870849609375}, {"start": 1949.08, "end": 1949.88, "word": " اكس", "probability": 0.9381510416666666}, {"start": 1949.88, "end": 1951.12, "word": " ناقص", "probability": 0.978759765625}, {"start": 1951.12, "end": 1951.92, "word": " لن", "probability": 0.956787109375}, {"start": 1951.92, "end": 1952.56, "word": " الخمسة", "probability": 0.9212646484375}, {"start": 1952.56, "end": 1953.04, "word": " مشتقة", "probability": 0.91015625}, {"start": 1953.04, "end": 1953.56, "word": " واحد", "probability": 0.86767578125}, {"start": 1953.56, "end": 1953.8, "word": " على", "probability": 0.86474609375}, {"start": 1953.8, "end": 1954.28, "word": " خمسة", "probability": 0.9227294921875}, {"start": 1954.28, "end": 1954.52, "word": " يعني", "probability": 0.888427734375}, {"start": 1954.52, "end": 1955.18, "word": " خمس", "probability": 0.9934895833333334}, {"start": 1955.18, "end": 1956.0, "word": " مظبوط", "probability": 0.849609375}, {"start": 1956.0, "end": 1956.44, "word": " هيك؟", "probability": 0.8395182291666666}], "temperature": 1.0}, {"id": 83, "seek": 198703, "start": 1958.07, "end": 1987.03, "text": "غلط يعني كلامي؟ غلط بل هو الغلط بعينه لإن لن خمسة كله constant مقدر ثابت ومشتقة constant بقداش مش روح واحد يقولك اكتبلي خمس تاني مرة ولاش ايه يبقى لن ان شاء الله يكون خمسة مليون مشتقة ب zero مش خمسة و بس يبقى لن الخمسة ب zero ناقص تلتين و لن هذه اللي هو بواحد", "tokens": [17082, 1211, 9566, 37495, 22653, 28242, 10943, 1829, 22807, 32771, 1211, 9566, 4724, 1211, 31439, 6024, 118, 1211, 9566, 4724, 3615, 9957, 3224, 5296, 28814, 1863, 5296, 1863, 16490, 2304, 3794, 3660, 28242, 3224, 5754, 3714, 4587, 3215, 2288, 38637, 16758, 2655, 4032, 2304, 8592, 2655, 28671, 5754, 4724, 28543, 33599, 37893, 12602, 2407, 5016, 36764, 24401, 7251, 39648, 4117, 1975, 4117, 2655, 3555, 20292, 16490, 2304, 3794, 6055, 7649, 1829, 3714, 25720, 49429, 8592, 1975, 1829, 3224, 7251, 3555, 4587, 7578, 5296, 1863, 16472, 13412, 16606, 21984, 7251, 30544, 16490, 2304, 3794, 3660, 3714, 20292, 11536, 37893, 2655, 28671, 4724, 4018, 37893, 16490, 2304, 3794, 3660, 4032, 4724, 3794, 7251, 3555, 4587, 7578, 5296, 1863, 33962, 2304, 3794, 3660, 4724, 4018, 8717, 995, 4587, 9381, 6055, 1211, 2655, 9957, 4032, 5296, 1863, 29538, 13672, 1829, 31439, 4724, 14407, 24401], "avg_logprob": -0.19736259330249, "compression_ratio": 1.8523206751054853, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1958.07, "end": 1958.59, "word": "غلط", "probability": 0.7298177083333334}, {"start": 1958.59, "end": 1958.81, "word": " يعني", "probability": 0.891845703125}, {"start": 1958.81, "end": 1959.37, "word": " كلامي؟", "probability": 0.8773193359375}, {"start": 1959.37, "end": 1961.01, "word": " غلط", "probability": 0.9474283854166666}, {"start": 1961.01, "end": 1961.37, "word": " بل", "probability": 0.843505859375}, {"start": 1961.37, "end": 1961.73, "word": " هو", "probability": 0.98779296875}, {"start": 1961.73, "end": 1962.37, "word": " الغلط", "probability": 0.97509765625}, {"start": 1962.37, "end": 1963.19, "word": " بعينه", "probability": 0.8096923828125}, {"start": 1963.19, "end": 1964.15, "word": " لإن", "probability": 0.49462890625}, {"start": 1964.15, "end": 1964.39, "word": " لن", "probability": 0.38232421875}, {"start": 1964.39, "end": 1964.91, "word": " خمسة", "probability": 0.9500732421875}, {"start": 1964.91, "end": 1965.57, "word": " كله", "probability": 0.876220703125}, {"start": 1965.57, "end": 1966.21, "word": " constant", "probability": 0.8466796875}, {"start": 1966.21, "end": 1966.75, "word": " مقدر", "probability": 0.64422607421875}, {"start": 1966.75, "end": 1967.17, "word": " ثابت", "probability": 0.8806966145833334}, {"start": 1967.17, "end": 1968.15, "word": " ومشتقة", "probability": 0.87421875}, {"start": 1968.15, "end": 1968.59, "word": " constant", "probability": 0.74560546875}, {"start": 1968.59, "end": 1969.41, "word": " بقداش", "probability": 0.74951171875}, {"start": 1969.41, "end": 1970.09, "word": " مش", "probability": 0.64208984375}, {"start": 1970.09, "end": 1970.33, "word": " روح", "probability": 0.90478515625}, {"start": 1970.33, "end": 1970.55, "word": " واحد", "probability": 0.7169189453125}, {"start": 1970.55, "end": 1970.97, "word": " يقولك", "probability": 0.656005859375}, {"start": 1970.97, "end": 1971.43, "word": " اكتبلي", "probability": 0.9013671875}, {"start": 1971.43, "end": 1971.91, "word": " خمس", "probability": 0.9827473958333334}, {"start": 1971.91, "end": 1972.23, "word": " تاني", "probability": 0.7852376302083334}, {"start": 1972.23, "end": 1972.51, "word": " مرة", "probability": 0.994873046875}, {"start": 1972.51, "end": 1973.01, "word": " ولاش", "probability": 0.493896484375}, {"start": 1973.01, "end": 1973.55, "word": " ايه", "probability": 0.8310546875}, {"start": 1973.55, "end": 1974.17, "word": " يبقى", "probability": 0.9609375}, {"start": 1974.17, "end": 1974.57, "word": " لن", "probability": 0.904541015625}, {"start": 1974.57, "end": 1974.73, "word": " ان", "probability": 0.89453125}, {"start": 1974.73, "end": 1974.99, "word": " شاء", "probability": 0.90478515625}, {"start": 1974.99, "end": 1975.05, "word": " الله", "probability": 0.966796875}, {"start": 1975.05, "end": 1975.41, "word": " يكون", "probability": 0.984375}, {"start": 1975.41, "end": 1975.97, "word": " خمسة", "probability": 0.943115234375}, {"start": 1975.97, "end": 1976.39, "word": " مليون", "probability": 0.9876302083333334}, {"start": 1976.39, "end": 1976.95, "word": " مشتقة", "probability": 0.9228515625}, {"start": 1976.95, "end": 1977.11, "word": " ب", "probability": 0.8095703125}, {"start": 1977.11, "end": 1977.43, "word": " zero", "probability": 0.404052734375}, {"start": 1977.43, "end": 1977.97, "word": " مش", "probability": 0.8642578125}, {"start": 1977.97, "end": 1978.39, "word": " خمسة", "probability": 0.983154296875}, {"start": 1978.39, "end": 1978.51, "word": " و", "probability": 0.4599609375}, {"start": 1978.51, "end": 1978.81, "word": " بس", "probability": 0.93017578125}, {"start": 1978.81, "end": 1979.81, "word": " يبقى", "probability": 0.988037109375}, {"start": 1979.81, "end": 1980.15, "word": " لن", "probability": 0.938232421875}, {"start": 1980.15, "end": 1980.95, "word": " الخمسة", "probability": 0.9901123046875}, {"start": 1980.95, "end": 1981.09, "word": " ب", "probability": 0.9033203125}, {"start": 1981.09, "end": 1981.57, "word": " zero", "probability": 0.8525390625}, {"start": 1981.57, "end": 1982.79, "word": " ناقص", "probability": 0.9737548828125}, {"start": 1982.79, "end": 1984.23, "word": " تلتين", "probability": 0.7860107421875}, {"start": 1984.23, "end": 1984.87, "word": " و", "probability": 0.5927734375}, {"start": 1984.87, "end": 1985.25, "word": " لن", "probability": 0.80712890625}, {"start": 1985.25, "end": 1985.65, "word": " هذه", "probability": 0.5234375}, {"start": 1985.65, "end": 1985.85, "word": " اللي", "probability": 0.961181640625}, {"start": 1985.85, "end": 1986.01, "word": " هو", "probability": 0.90087890625}, {"start": 1986.01, "end": 1987.03, "word": " بواحد", "probability": 0.9729817708333334}], "temperature": 1.0}, {"id": 84, "seek": 200242, "start": 1987.5, "end": 2002.42, "text": "على واحد على الهمين X زائد واحد في مشتقة مداخل اليوم واحد صحيح طيب احنا بدنا اشهد بيدنا Y prime يبقى بروح بضغط في مين؟", "tokens": [3615, 23942, 36764, 24401, 15844, 2423, 3224, 2304, 9957, 1783, 30767, 16373, 3215, 36764, 24401, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 45595, 20498, 36764, 24401, 20328, 5016, 1829, 5016, 23032, 1829, 3555, 1975, 5016, 8315, 47525, 8315, 1975, 8592, 3224, 3215, 4724, 25708, 8315, 398, 5835, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 11242, 17082, 9566, 8978, 3714, 9957, 22807], "avg_logprob": -0.3347168108448386, "compression_ratio": 1.4855072463768115, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1987.5, "end": 1988.24, "word": "على", "probability": 0.57000732421875}, {"start": 1988.24, "end": 1989.52, "word": " واحد", "probability": 0.684814453125}, {"start": 1989.52, "end": 1989.98, "word": " على", "probability": 0.66455078125}, {"start": 1989.98, "end": 1991.2, "word": " الهمين", "probability": 0.580322265625}, {"start": 1991.2, "end": 1991.84, "word": " X", "probability": 0.5625}, {"start": 1991.84, "end": 1993.32, "word": " زائد", "probability": 0.80517578125}, {"start": 1993.32, "end": 1994.04, "word": " واحد", "probability": 0.9736328125}, {"start": 1994.04, "end": 1994.48, "word": " في", "probability": 0.603515625}, {"start": 1994.48, "end": 1995.12, "word": " مشتقة", "probability": 0.8595377604166666}, {"start": 1995.12, "end": 1995.6, "word": " مداخل", "probability": 0.78289794921875}, {"start": 1995.6, "end": 1995.94, "word": " اليوم", "probability": 0.63232421875}, {"start": 1995.94, "end": 1996.54, "word": " واحد", "probability": 0.933349609375}, {"start": 1996.54, "end": 1997.42, "word": " صحيح", "probability": 0.9866943359375}, {"start": 1997.42, "end": 1998.28, "word": " طيب", "probability": 0.8795572916666666}, {"start": 1998.28, "end": 1998.66, "word": " احنا", "probability": 0.8185221354166666}, {"start": 1998.66, "end": 1998.94, "word": " بدنا", "probability": 0.655517578125}, {"start": 1998.94, "end": 1999.3, "word": " اشهد", "probability": 0.83502197265625}, {"start": 1999.3, "end": 1999.74, "word": " بيدنا", "probability": 0.4978841145833333}, {"start": 1999.74, "end": 1999.94, "word": " Y", "probability": 0.72412109375}, {"start": 1999.94, "end": 2000.56, "word": " prime", "probability": 0.295654296875}, {"start": 2000.56, "end": 2000.94, "word": " يبقى", "probability": 0.74420166015625}, {"start": 2000.94, "end": 2001.24, "word": " بروح", "probability": 0.95556640625}, {"start": 2001.24, "end": 2001.6, "word": " بضغط", "probability": 0.807373046875}, {"start": 2001.6, "end": 2001.74, "word": " في", "probability": 0.85498046875}, {"start": 2001.74, "end": 2002.42, "word": " مين؟", "probability": 0.7685546875}], "temperature": 1.0}, {"id": 85, "seek": 202796, "start": 2002.96, "end": 2027.96, "text": "فى Y مين هي ال Y هذه راس المسألة اللى فوق إذا بشيل ال Y و بحط قمة ل X فى الجدرى الترابيعى X ترابيع زائد واحد كله على خمسة في X زائد واحد قصة التين في واحد على X طبعا نص مع اتنين الله يسهل عليه بضل زائد X", "tokens": [5172, 7578, 398, 3714, 9957, 39896, 2423, 398, 29538, 12602, 32277, 9673, 3794, 10721, 37977, 13672, 7578, 6156, 30543, 11933, 15730, 4724, 8592, 26895, 2423, 398, 4032, 4724, 5016, 9566, 12174, 46007, 5296, 1783, 6156, 7578, 25724, 3215, 2288, 7578, 16712, 2288, 16758, 40228, 7578, 1783, 6055, 2288, 16758, 40228, 30767, 16373, 3215, 36764, 24401, 28242, 3224, 15844, 16490, 2304, 3794, 3660, 8978, 1783, 30767, 16373, 3215, 36764, 24401, 12174, 9381, 3660, 16712, 9957, 8978, 36764, 24401, 15844, 1783, 23032, 3555, 3615, 995, 8717, 9381, 20449, 1975, 2655, 1863, 9957, 21984, 7251, 3794, 3224, 1211, 47356, 4724, 11242, 1211, 30767, 16373, 3215, 1783], "avg_logprob": -0.20492788848395532, "compression_ratio": 1.8368421052631578, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2002.96, "end": 2003.46, "word": "فى", "probability": 0.56182861328125}, {"start": 2003.46, "end": 2003.78, "word": " Y", "probability": 0.488037109375}, {"start": 2003.78, "end": 2004.26, "word": " مين", "probability": 0.7357177734375}, {"start": 2004.26, "end": 2004.4, "word": " هي", "probability": 0.33984375}, {"start": 2004.4, "end": 2004.62, "word": " ال", "probability": 0.95556640625}, {"start": 2004.62, "end": 2004.84, "word": " Y", "probability": 0.69775390625}, {"start": 2004.84, "end": 2005.24, "word": " هذه", "probability": 0.447021484375}, {"start": 2005.24, "end": 2006.04, "word": " راس", "probability": 0.60546875}, {"start": 2006.04, "end": 2006.76, "word": " المسألة", "probability": 0.922607421875}, {"start": 2006.76, "end": 2006.94, "word": " اللى", "probability": 0.88232421875}, {"start": 2006.94, "end": 2007.42, "word": " فوق", "probability": 0.98291015625}, {"start": 2007.42, "end": 2008.08, "word": " إذا", "probability": 0.724609375}, {"start": 2008.08, "end": 2008.58, "word": " بشيل", "probability": 0.9469401041666666}, {"start": 2008.58, "end": 2008.72, "word": " ال", "probability": 0.94677734375}, {"start": 2008.72, "end": 2008.9, "word": " Y", "probability": 0.978515625}, {"start": 2008.9, "end": 2009.04, "word": " و", "probability": 0.60498046875}, {"start": 2009.04, "end": 2009.48, "word": " بحط", "probability": 0.9554036458333334}, {"start": 2009.48, "end": 2009.88, "word": " قمة", "probability": 0.7381591796875}, {"start": 2009.88, "end": 2010.22, "word": " ل", "probability": 0.86181640625}, {"start": 2010.22, "end": 2010.76, "word": " X", "probability": 0.90087890625}, {"start": 2010.76, "end": 2011.42, "word": " فى", "probability": 0.858154296875}, {"start": 2011.42, "end": 2011.96, "word": " الجدرى", "probability": 0.8392333984375}, {"start": 2011.96, "end": 2012.96, "word": " الترابيعى", "probability": 0.878515625}, {"start": 2012.96, "end": 2013.68, "word": " X", "probability": 0.435791015625}, {"start": 2013.68, "end": 2014.28, "word": " ترابيع", "probability": 0.8486328125}, {"start": 2014.28, "end": 2014.8, "word": " زائد", "probability": 0.8264973958333334}, {"start": 2014.8, "end": 2015.34, "word": " واحد", "probability": 0.90771484375}, {"start": 2015.34, "end": 2016.3, "word": " كله", "probability": 0.95849609375}, {"start": 2016.3, "end": 2016.6, "word": " على", "probability": 0.8369140625}, {"start": 2016.6, "end": 2017.6, "word": " خمسة", "probability": 0.9547119140625}, {"start": 2017.6, "end": 2018.06, "word": " في", "probability": 0.609375}, {"start": 2018.06, "end": 2018.38, "word": " X", "probability": 0.9638671875}, {"start": 2018.38, "end": 2018.94, "word": " زائد", "probability": 0.9765625}, {"start": 2018.94, "end": 2019.58, "word": " واحد", "probability": 0.986328125}, {"start": 2019.58, "end": 2020.52, "word": " قصة", "probability": 0.5537109375}, {"start": 2020.52, "end": 2021.22, "word": " التين", "probability": 0.52886962890625}, {"start": 2021.22, "end": 2021.74, "word": " في", "probability": 0.62353515625}, {"start": 2021.74, "end": 2022.36, "word": " واحد", "probability": 0.975830078125}, {"start": 2022.36, "end": 2022.66, "word": " على", "probability": 0.76171875}, {"start": 2022.66, "end": 2022.96, "word": " X", "probability": 0.9794921875}, {"start": 2022.96, "end": 2023.78, "word": " طبعا", "probability": 0.972900390625}, {"start": 2023.78, "end": 2024.1, "word": " نص", "probability": 0.901123046875}, {"start": 2024.1, "end": 2024.34, "word": " مع", "probability": 0.94287109375}, {"start": 2024.34, "end": 2024.68, "word": " اتنين", "probability": 0.9093017578125}, {"start": 2024.68, "end": 2024.88, "word": " الله", "probability": 0.89892578125}, {"start": 2024.88, "end": 2025.36, "word": " يسهل", "probability": 0.909423828125}, {"start": 2025.36, "end": 2025.78, "word": " عليه", "probability": 0.9716796875}, {"start": 2025.78, "end": 2026.64, "word": " بضل", "probability": 0.8365885416666666}, {"start": 2026.64, "end": 2027.42, "word": " زائد", "probability": 0.9835611979166666}, {"start": 2027.42, "end": 2027.96, "word": " X", "probability": 0.99267578125}], "temperature": 1.0}, {"id": 86, "seek": 205700, "start": 2029.32, "end": 2057.0, "text": "زائد X على X تربية زائد واحد نقص اتنين ع تلاتة في X زائد واحد هذا كان المثال رقم ستة بدنا نروح لمثال رقم سبعة evaluate the following integrals", "tokens": [11622, 16373, 3215, 1783, 15844, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 8717, 4587, 9381, 1975, 2655, 1863, 9957, 6225, 6055, 1211, 9307, 3660, 8978, 1783, 30767, 16373, 3215, 36764, 24401, 23758, 25961, 9673, 12984, 6027, 12602, 4587, 2304, 8608, 2655, 3660, 47525, 8315, 8717, 32887, 5016, 32767, 12984, 6027, 12602, 4587, 2304, 8608, 3555, 27884, 13059, 264, 3480, 3572, 1124], "avg_logprob": -0.13891601376235485, "compression_ratio": 1.4736842105263157, "no_speech_prob": 0.0, "words": [{"start": 2029.32, "end": 2030.08, "word": "زائد", "probability": 0.7032063802083334}, {"start": 2030.08, "end": 2030.54, "word": " X", "probability": 0.53759765625}, {"start": 2030.54, "end": 2031.5, "word": " على", "probability": 0.69140625}, {"start": 2031.5, "end": 2032.16, "word": " X", "probability": 0.9658203125}, {"start": 2032.16, "end": 2032.84, "word": " تربية", "probability": 0.7040201822916666}, {"start": 2032.84, "end": 2033.76, "word": " زائد", "probability": 0.8668619791666666}, {"start": 2033.76, "end": 2034.34, "word": " واحد", "probability": 0.92333984375}, {"start": 2034.34, "end": 2035.32, "word": " نقص", "probability": 0.9793294270833334}, {"start": 2035.32, "end": 2036.04, "word": " اتنين", "probability": 0.9652099609375}, {"start": 2036.04, "end": 2036.72, "word": " ع", "probability": 0.60986328125}, {"start": 2036.72, "end": 2037.48, "word": " تلاتة", "probability": 0.9520263671875}, {"start": 2037.48, "end": 2037.66, "word": " في", "probability": 0.93603515625}, {"start": 2037.66, "end": 2038.1, "word": " X", "probability": 0.974609375}, {"start": 2038.1, "end": 2039.34, "word": " زائد", "probability": 0.9713541666666666}, {"start": 2039.34, "end": 2039.94, "word": " واحد", "probability": 0.98193359375}, {"start": 2039.94, "end": 2041.68, "word": " هذا", "probability": 0.83056640625}, {"start": 2041.68, "end": 2041.98, "word": " كان", "probability": 0.978515625}, {"start": 2041.98, "end": 2042.42, "word": " المثال", "probability": 0.9567057291666666}, {"start": 2042.42, "end": 2042.84, "word": " رقم", "probability": 0.9796549479166666}, {"start": 2042.84, "end": 2043.36, "word": " ستة", "probability": 0.8447265625}, {"start": 2043.36, "end": 2043.72, "word": " بدنا", "probability": 0.6263427734375}, {"start": 2043.72, "end": 2044.02, "word": " نروح", "probability": 0.9873046875}, {"start": 2044.02, "end": 2044.94, "word": " لمثال", "probability": 0.8655598958333334}, {"start": 2044.94, "end": 2045.72, "word": " رقم", "probability": 0.9778645833333334}, {"start": 2045.72, "end": 2047.5, "word": " سبعة", "probability": 0.91796875}, {"start": 2047.5, "end": 2049.38, "word": " evaluate", "probability": 0.7080078125}, {"start": 2049.38, "end": 2051.52, "word": " the", "probability": 0.9091796875}, {"start": 2051.52, "end": 2053.74, "word": " following", "probability": 0.78369140625}, {"start": 2053.74, "end": 2057.0, "word": " integrals", "probability": 0.930908203125}], "temperature": 1.0}, {"id": 87, "seek": 208219, "start": 2058.61, "end": 2082.19, "text": "يحسب لي كل من التكاملات التالية التكامل الأول امن السائل ايوة سطر الثاني هنا امن يبقى ..", "tokens": [1829, 5016, 35457, 32239, 28242, 9154, 16712, 4117, 10943, 1211, 9307, 16712, 6027, 10632, 16712, 4117, 10943, 1211, 16247, 12610, 1975, 27842, 21136, 16373, 1211, 1975, 1829, 2407, 3660, 8608, 9566, 2288, 6024, 104, 7649, 1829, 34105, 1975, 27842, 7251, 3555, 4587, 7578, 4386], "avg_logprob": -0.3130208280351427, "compression_ratio": 1.5643564356435644, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2058.61, "end": 2059.33, "word": "يحسب", "probability": 0.7381184895833334}, {"start": 2059.33, "end": 2059.53, "word": " لي", "probability": 0.4892578125}, {"start": 2059.53, "end": 2059.95, "word": " كل", "probability": 0.97705078125}, {"start": 2059.95, "end": 2060.23, "word": " من", "probability": 0.8837890625}, {"start": 2060.23, "end": 2061.61, "word": " التكاملات", "probability": 0.966796875}, {"start": 2061.61, "end": 2062.83, "word": " التالية", "probability": 0.82470703125}, {"start": 2062.83, "end": 2064.51, "word": " التكامل", "probability": 0.8258056640625}, {"start": 2064.51, "end": 2065.19, "word": " الأول", "probability": 0.97509765625}, {"start": 2065.19, "end": 2066.25, "word": " امن", "probability": 0.525634765625}, {"start": 2066.25, "end": 2067.63, "word": " السائل", "probability": 0.9611002604166666}, {"start": 2067.63, "end": 2069.77, "word": " ايوة", "probability": 0.6622314453125}, {"start": 2069.77, "end": 2073.57, "word": " سطر", "probability": 0.7753092447916666}, {"start": 2073.57, "end": 2074.03, "word": " الثاني", "probability": 0.8397216796875}, {"start": 2074.03, "end": 2074.37, "word": " هنا", "probability": 0.9599609375}, {"start": 2074.37, "end": 2075.57, "word": " امن", "probability": 0.86376953125}, {"start": 2075.57, "end": 2079.11, "word": " يبقى", "probability": 0.9189453125}, {"start": 2079.11, "end": 2082.19, "word": " ..", "probability": 0.150634765625}], "temperature": 1.0}, {"id": 88, "seek": 211012, "start": 2102.16, "end": 2110.12, "text": "طبعا احنا في calculus ايه كملنا ال sine و ال cosine مجرود و قلنا تكامل cosine ال X هو", "tokens": [9566, 3555, 3615, 995, 1975, 5016, 8315, 8978, 33400, 1975, 1829, 3224, 9122, 42213, 8315, 2423, 18609, 4032, 2423, 23565, 3714, 7435, 32887, 3215, 4032, 12174, 1211, 8315, 6055, 4117, 10943, 1211, 23565, 2423, 1783, 31439], "avg_logprob": -0.4193412258818343, "compression_ratio": 1.2574257425742574, "no_speech_prob": 0.0, "words": [{"start": 2102.1600000000003, "end": 2102.84, "word": "طبعا", "probability": 0.725921630859375}, {"start": 2102.84, "end": 2103.12, "word": " احنا", "probability": 0.763671875}, {"start": 2103.12, "end": 2103.42, "word": " في", "probability": 0.8515625}, {"start": 2103.42, "end": 2104.02, "word": " calculus", "probability": 0.496826171875}, {"start": 2104.02, "end": 2104.8, "word": " ايه", "probability": 0.8193359375}, {"start": 2104.8, "end": 2105.3, "word": " كملنا", "probability": 0.6568196614583334}, {"start": 2105.3, "end": 2105.44, "word": " ال", "probability": 0.73681640625}, {"start": 2105.44, "end": 2105.74, "word": " sine", "probability": 0.2783203125}, {"start": 2105.74, "end": 2105.92, "word": " و", "probability": 0.52197265625}, {"start": 2105.92, "end": 2106.04, "word": " ال", "probability": 0.7412109375}, {"start": 2106.04, "end": 2106.38, "word": " cosine", "probability": 0.912109375}, {"start": 2106.38, "end": 2107.5, "word": " مجرود", "probability": 0.7598876953125}, {"start": 2107.5, "end": 2108.0, "word": " و", "probability": 0.57763671875}, {"start": 2108.0, "end": 2108.28, "word": " قلنا", "probability": 0.6690266927083334}, {"start": 2108.28, "end": 2108.74, "word": " تكامل", "probability": 0.9539794921875}, {"start": 2108.74, "end": 2109.24, "word": " cosine", "probability": 0.46728515625}, {"start": 2109.24, "end": 2109.5, "word": " ال", "probability": 0.6767578125}, {"start": 2109.5, "end": 2109.72, "word": " X", "probability": 0.44189453125}, {"start": 2109.72, "end": 2110.12, "word": " هو", "probability": 0.9716796875}], "temperature": 1.0}, {"id": 89, "seek": 213498, "start": 2114.47, "end": 2134.99, "text": "تكامل sin x هو سالب cos x زاد constant وقلنا لكم باقى الاربع نسب اللى يعيش ويسجل كالكلص بيه بنكمله الاربع نسب الأخرى ونحن اليوم نافي بوعدنا اللى وعدناكم إياه في الفصل الأول", "tokens": [2655, 4117, 10943, 1211, 3343, 2031, 31439, 8608, 6027, 3555, 3792, 2031, 30767, 18513, 5754, 4032, 4587, 1211, 8315, 5296, 24793, 4724, 995, 4587, 7578, 2423, 9640, 3555, 3615, 8717, 35457, 13672, 7578, 37495, 1829, 8592, 4032, 1829, 3794, 7435, 1211, 9122, 6027, 28820, 9381, 4724, 1829, 3224, 44945, 24793, 43761, 2423, 9640, 3555, 3615, 8717, 35457, 16247, 34740, 7578, 4032, 1863, 5016, 1863, 45595, 20498, 8717, 31845, 1829, 4724, 2407, 22488, 8315, 13672, 7578, 4032, 22488, 8315, 24793, 11933, 25528, 3224, 8978, 27188, 36520, 16247, 12610], "avg_logprob": -0.334339496425607, "compression_ratio": 1.6629213483146068, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2114.4700000000003, "end": 2115.67, "word": "تكامل", "probability": 0.61700439453125}, {"start": 2115.67, "end": 2116.25, "word": " sin", "probability": 0.32470703125}, {"start": 2116.25, "end": 2116.89, "word": " x", "probability": 0.343017578125}, {"start": 2116.89, "end": 2117.19, "word": " هو", "probability": 0.6376953125}, {"start": 2117.19, "end": 2117.93, "word": " سالب", "probability": 0.608154296875}, {"start": 2117.93, "end": 2118.25, "word": " cos", "probability": 0.55712890625}, {"start": 2118.25, "end": 2118.93, "word": " x", "probability": 0.9453125}, {"start": 2118.93, "end": 2119.45, "word": " زاد", "probability": 0.47216796875}, {"start": 2119.45, "end": 2119.91, "word": " constant", "probability": 0.297119140625}, {"start": 2119.91, "end": 2120.85, "word": " وقلنا", "probability": 0.57696533203125}, {"start": 2120.85, "end": 2121.07, "word": " لكم", "probability": 0.701171875}, {"start": 2121.07, "end": 2121.47, "word": " باقى", "probability": 0.78594970703125}, {"start": 2121.47, "end": 2122.07, "word": " الاربع", "probability": 0.82025146484375}, {"start": 2122.07, "end": 2122.49, "word": " نسب", "probability": 0.992919921875}, {"start": 2122.49, "end": 2123.05, "word": " اللى", "probability": 0.76318359375}, {"start": 2123.05, "end": 2123.79, "word": " يعيش", "probability": 0.9739583333333334}, {"start": 2123.79, "end": 2124.51, "word": " ويسجل", "probability": 0.9669921875}, {"start": 2124.51, "end": 2125.19, "word": " كالكلص", "probability": 0.55426025390625}, {"start": 2125.19, "end": 2125.43, "word": " بيه", "probability": 0.8251953125}, {"start": 2125.43, "end": 2126.09, "word": " بنكمله", "probability": 0.6988932291666666}, {"start": 2126.09, "end": 2126.61, "word": " الاربع", "probability": 0.8839111328125}, {"start": 2126.61, "end": 2127.01, "word": " نسب", "probability": 0.9931640625}, {"start": 2127.01, "end": 2128.17, "word": " الأخرى", "probability": 0.8570963541666666}, {"start": 2128.17, "end": 2129.33, "word": " ونحن", "probability": 0.656829833984375}, {"start": 2129.33, "end": 2129.71, "word": " اليوم", "probability": 0.969970703125}, {"start": 2129.71, "end": 2130.29, "word": " نافي", "probability": 0.7822265625}, {"start": 2130.29, "end": 2131.21, "word": " بوعدنا", "probability": 0.8857421875}, {"start": 2131.21, "end": 2132.13, "word": " اللى", "probability": 0.9228515625}, {"start": 2132.13, "end": 2132.85, "word": " وعدناكم", "probability": 0.9482421875}, {"start": 2132.85, "end": 2133.33, "word": " إياه", "probability": 0.6814371744791666}, {"start": 2133.33, "end": 2133.45, "word": " في", "probability": 0.7236328125}, {"start": 2133.45, "end": 2134.09, "word": " الفصل", "probability": 0.949462890625}, {"start": 2134.09, "end": 2134.99, "word": " الأول", "probability": 0.94091796875}], "temperature": 1.0}, {"id": 90, "seek": 216300, "start": 2136.66, "end": 2163.0, "text": "يبقى الـSin و الـCos كملوهم، بنيجي الآن للأربع نسم الأخر، راح نكملهم الحين فورا قبل أن ندخل إلى باقي الأمثلة، بنيجي لتكامل كتان الـX DX هو عبارة عن تكامل ليه؟ الكتان هي عبارة عن كسين على الـSin، يبقى كسين الـX على الـSin الـX كله بالنسبة إلى DX", "tokens": [1829, 3555, 4587, 7578, 2423, 39184, 50, 259, 4032, 2423, 39184, 34, 329, 9122, 2304, 1211, 2407, 16095, 12399, 44945, 1829, 7435, 1829, 6024, 48506, 24976, 10721, 25513, 3615, 8717, 38251, 16247, 34740, 12399, 12602, 39319, 8717, 24793, 1211, 16095, 21542, 9957, 6156, 13063, 995, 12174, 36150, 14739, 8717, 3215, 9778, 1211, 30731, 4724, 995, 38436, 16247, 2304, 12984, 37977, 12399, 44945, 1829, 7435, 1829, 5296, 2655, 4117, 10943, 1211, 9122, 2655, 7649, 2423, 39184, 55, 48817, 31439, 6225, 3555, 9640, 3660, 18871, 6055, 4117, 10943, 1211, 32239, 3224, 22807, 33251, 2655, 7649, 39896, 6225, 3555, 9640, 3660, 18871, 9122, 3794, 9957, 15844, 2423, 39184, 50, 259, 12399, 7251, 3555, 4587, 7578, 9122, 3794, 9957, 2423, 39184, 55, 15844, 2423, 39184, 50, 259, 2423, 39184, 55, 28242, 3224, 20666, 1863, 35457, 3660, 30731, 48817], "avg_logprob": -0.23541667174409936, "compression_ratio": 1.9054054054054055, "no_speech_prob": 0.0, "words": [{"start": 2136.66, "end": 2137.28, "word": "يبقى", "probability": 0.82421875}, {"start": 2137.28, "end": 2137.82, "word": " الـSin", "probability": 0.6104736328125}, {"start": 2137.82, "end": 2137.92, "word": " و", "probability": 0.521484375}, {"start": 2137.92, "end": 2138.28, "word": " الـCos", "probability": 0.700439453125}, {"start": 2138.28, "end": 2138.86, "word": " كملوهم،", "probability": 0.52459716796875}, {"start": 2138.86, "end": 2139.12, "word": " بنيجي", "probability": 0.68218994140625}, {"start": 2139.12, "end": 2139.44, "word": " الآن", "probability": 0.629150390625}, {"start": 2139.44, "end": 2140.0, "word": " للأربع", "probability": 0.8021240234375}, {"start": 2140.0, "end": 2140.26, "word": " نسم", "probability": 0.738525390625}, {"start": 2140.26, "end": 2140.64, "word": " الأخر،", "probability": 0.6834309895833334}, {"start": 2140.64, "end": 2140.72, "word": " راح", "probability": 0.5069580078125}, {"start": 2140.72, "end": 2141.36, "word": " نكملهم", "probability": 0.9595947265625}, {"start": 2141.36, "end": 2142.04, "word": " الحين", "probability": 0.916748046875}, {"start": 2142.04, "end": 2142.8, "word": " فورا", "probability": 0.84033203125}, {"start": 2142.8, "end": 2143.56, "word": " قبل", "probability": 0.934814453125}, {"start": 2143.56, "end": 2143.76, "word": " أن", "probability": 0.828125}, {"start": 2143.76, "end": 2144.18, "word": " ندخل", "probability": 0.994873046875}, {"start": 2144.18, "end": 2144.38, "word": " إلى", "probability": 0.892578125}, {"start": 2144.38, "end": 2144.82, "word": " باقي", "probability": 0.8229166666666666}, {"start": 2144.82, "end": 2146.28, "word": " الأمثلة،", "probability": 0.859521484375}, {"start": 2146.28, "end": 2146.76, "word": " بنيجي", "probability": 0.800048828125}, {"start": 2146.76, "end": 2147.5, "word": " لتكامل", "probability": 0.90859375}, {"start": 2147.5, "end": 2148.08, "word": " كتان", "probability": 0.78515625}, {"start": 2148.08, "end": 2148.64, "word": " الـX", "probability": 0.80029296875}, {"start": 2148.64, "end": 2149.2, "word": " DX", "probability": 0.477294921875}, {"start": 2149.2, "end": 2150.18, "word": " هو", "probability": 0.83251953125}, {"start": 2150.18, "end": 2150.8, "word": " عبارة", "probability": 0.9879150390625}, {"start": 2150.8, "end": 2151.14, "word": " عن", "probability": 0.99560546875}, {"start": 2151.14, "end": 2152.16, "word": " تكامل", "probability": 0.9892578125}, {"start": 2152.16, "end": 2153.46, "word": " ليه؟", "probability": 0.7985026041666666}, {"start": 2153.46, "end": 2154.18, "word": " الكتان", "probability": 0.8767903645833334}, {"start": 2154.18, "end": 2154.38, "word": " هي", "probability": 0.921875}, {"start": 2154.38, "end": 2154.7, "word": " عبارة", "probability": 0.99658203125}, {"start": 2154.7, "end": 2154.88, "word": " عن", "probability": 0.994140625}, {"start": 2154.88, "end": 2155.36, "word": " كسين", "probability": 0.658203125}, {"start": 2155.36, "end": 2155.66, "word": " على", "probability": 0.79052734375}, {"start": 2155.66, "end": 2156.26, "word": " الـSin،", "probability": 0.8033203125}, {"start": 2156.26, "end": 2156.74, "word": " يبقى", "probability": 0.98583984375}, {"start": 2156.74, "end": 2157.84, "word": " كسين", "probability": 0.9376627604166666}, {"start": 2157.84, "end": 2158.6, "word": " الـX", "probability": 0.9090169270833334}, {"start": 2158.6, "end": 2159.54, "word": " على", "probability": 0.82861328125}, {"start": 2159.54, "end": 2160.36, "word": " الـSin", "probability": 0.8634033203125}, {"start": 2160.36, "end": 2161.06, "word": " الـX", "probability": 0.9015299479166666}, {"start": 2161.06, "end": 2161.6, "word": " كله", "probability": 0.7119140625}, {"start": 2161.6, "end": 2162.36, "word": " بالنسبة", "probability": 0.9957275390625}, {"start": 2162.36, "end": 2162.7, "word": " إلى", "probability": 0.80224609375}, {"start": 2162.7, "end": 2163.0, "word": " DX", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 91, "seek": 218023, "start": 2165.01, "end": 2180.23, "text": "نرجع بالذاكرة إلى الورق للمحاضرة الماضية أخر خاصية من خواص لن ال X بقولنا تكامل 1 على X DX يسوى لن absolute value X زايد كل أسطن C صحيح؟", "tokens": [1863, 47341, 3615, 20666, 15730, 4117, 25720, 30731, 2423, 13063, 4587, 5296, 19528, 5016, 46958, 25720, 9673, 46958, 10632, 5551, 34740, 16490, 33546, 10632, 9154, 16490, 2407, 33546, 5296, 1863, 2423, 1783, 4724, 39648, 8315, 6055, 4117, 10943, 1211, 502, 15844, 1783, 48817, 7251, 3794, 2407, 7578, 5296, 1863, 8236, 2158, 1783, 30767, 995, 25708, 28242, 5551, 3794, 9566, 1863, 383, 20328, 5016, 1829, 5016, 22807], "avg_logprob": -0.31063432568934424, "compression_ratio": 1.3658536585365855, "no_speech_prob": 0.0, "words": [{"start": 2165.01, "end": 2165.61, "word": "نرجع", "probability": 0.6102701822916666}, {"start": 2165.61, "end": 2166.37, "word": " بالذاكرة", "probability": 0.88818359375}, {"start": 2166.37, "end": 2166.63, "word": " إلى", "probability": 0.5771484375}, {"start": 2166.63, "end": 2167.11, "word": " الورق", "probability": 0.8326822916666666}, {"start": 2167.11, "end": 2168.01, "word": " للمحاضرة", "probability": 0.87734375}, {"start": 2168.01, "end": 2168.71, "word": " الماضية", "probability": 0.916015625}, {"start": 2168.71, "end": 2170.05, "word": " أخر", "probability": 0.656494140625}, {"start": 2170.05, "end": 2171.05, "word": " خاصية", "probability": 0.9949544270833334}, {"start": 2171.05, "end": 2171.27, "word": " من", "probability": 0.9697265625}, {"start": 2171.27, "end": 2172.05, "word": " خواص", "probability": 0.904296875}, {"start": 2172.05, "end": 2172.47, "word": " لن", "probability": 0.6163330078125}, {"start": 2172.47, "end": 2172.71, "word": " ال", "probability": 0.5869140625}, {"start": 2172.71, "end": 2173.01, "word": " X", "probability": 0.454345703125}, {"start": 2173.01, "end": 2173.91, "word": " بقولنا", "probability": 0.5518391927083334}, {"start": 2173.91, "end": 2174.53, "word": " تكامل", "probability": 0.96337890625}, {"start": 2174.53, "end": 2174.83, "word": " 1", "probability": 0.7626953125}, {"start": 2174.83, "end": 2175.17, "word": " على", "probability": 0.5029296875}, {"start": 2175.17, "end": 2175.45, "word": " X", "probability": 0.533203125}, {"start": 2175.45, "end": 2175.89, "word": " DX", "probability": 0.74658203125}, {"start": 2175.89, "end": 2176.41, "word": " يسوى", "probability": 0.72149658203125}, {"start": 2176.41, "end": 2177.07, "word": " لن", "probability": 0.920654296875}, {"start": 2177.07, "end": 2177.65, "word": " absolute", "probability": 0.67041015625}, {"start": 2177.65, "end": 2178.13, "word": " value", "probability": 0.97802734375}, {"start": 2178.13, "end": 2178.45, "word": " X", "probability": 0.403076171875}, {"start": 2178.45, "end": 2178.75, "word": " زايد", "probability": 0.5453287760416666}, {"start": 2178.75, "end": 2178.95, "word": " كل", "probability": 0.953125}, {"start": 2178.95, "end": 2179.29, "word": " أسطن", "probability": 0.685546875}, {"start": 2179.29, "end": 2179.59, "word": " C", "probability": 0.357177734375}, {"start": 2179.59, "end": 2180.23, "word": " صحيح؟", "probability": 0.84814453125}], "temperature": 1.0}, {"id": 92, "seek": 220492, "start": 2180.52, "end": 2204.92, "text": "و روحنا عمّمناها و قولنا in general تكامل لل F prime of X على F of X DX سوى ال N absolute value لما ده ال F of X زايد constant C إذاً بدنا نروح نطبق هذه الخاصية للخاصية الأخيرة بجي بطلع هنا هل البص هو مشتقة النقاط؟", "tokens": [2407, 12602, 2407, 5016, 8315, 6225, 2304, 11703, 2304, 8315, 11296, 4032, 12174, 12610, 8315, 294, 2674, 6055, 4117, 10943, 1211, 24976, 479, 5835, 295, 1783, 15844, 479, 295, 1783, 48817, 8608, 2407, 7578, 2423, 426, 8236, 2158, 5296, 15042, 11778, 3224, 2423, 479, 295, 1783, 30767, 995, 25708, 5754, 383, 11933, 15730, 14111, 47525, 8315, 8717, 32887, 5016, 8717, 9566, 3555, 4587, 29538, 33962, 33546, 10632, 24976, 9778, 33546, 10632, 16247, 9778, 48923, 4724, 7435, 1829, 4724, 9566, 1211, 3615, 34105, 8032, 1211, 29739, 9381, 31439, 37893, 2655, 28671, 28239, 4587, 41193, 22807], "avg_logprob": -0.31151314471897323, "compression_ratio": 1.4473684210526316, "no_speech_prob": 0.0, "words": [{"start": 2180.52, "end": 2180.74, "word": "و", "probability": 0.1668701171875}, {"start": 2180.74, "end": 2181.12, "word": " روحنا", "probability": 0.67401123046875}, {"start": 2181.12, "end": 2182.38, "word": " عمّمناها", "probability": 0.8760579427083334}, {"start": 2182.38, "end": 2182.82, "word": " و", "probability": 0.90966796875}, {"start": 2182.82, "end": 2183.32, "word": " قولنا", "probability": 0.78173828125}, {"start": 2183.32, "end": 2183.82, "word": " in", "probability": 0.7939453125}, {"start": 2183.82, "end": 2184.96, "word": " general", "probability": 0.880859375}, {"start": 2184.96, "end": 2186.02, "word": " تكامل", "probability": 0.9248046875}, {"start": 2186.02, "end": 2186.22, "word": " لل", "probability": 0.7060546875}, {"start": 2186.22, "end": 2186.58, "word": " F", "probability": 0.54248046875}, {"start": 2186.58, "end": 2187.04, "word": " prime", "probability": 0.334228515625}, {"start": 2187.04, "end": 2187.26, "word": " of", "probability": 0.93798828125}, {"start": 2187.26, "end": 2187.56, "word": " X", "probability": 0.7314453125}, {"start": 2187.56, "end": 2187.78, "word": " على", "probability": 0.61474609375}, {"start": 2187.78, "end": 2188.04, "word": " F", "probability": 0.95263671875}, {"start": 2188.04, "end": 2188.22, "word": " of", "probability": 0.91015625}, {"start": 2188.22, "end": 2188.44, "word": " X", "probability": 0.91162109375}, {"start": 2188.44, "end": 2188.82, "word": " DX", "probability": 0.8896484375}, {"start": 2188.82, "end": 2189.28, "word": " سوى", "probability": 0.6064453125}, {"start": 2189.28, "end": 2189.42, "word": " ال", "probability": 0.37353515625}, {"start": 2189.42, "end": 2189.74, "word": " N", "probability": 0.63525390625}, {"start": 2189.74, "end": 2190.64, "word": " absolute", "probability": 0.7294921875}, {"start": 2190.64, "end": 2191.24, "word": " value", "probability": 0.9853515625}, {"start": 2191.24, "end": 2192.0, "word": " لما", "probability": 0.60400390625}, {"start": 2192.0, "end": 2192.42, "word": " ده", "probability": 0.66259765625}, {"start": 2192.42, "end": 2192.5, "word": " ال", "probability": 0.487548828125}, {"start": 2192.5, "end": 2192.66, "word": " F", "probability": 0.97119140625}, {"start": 2192.66, "end": 2192.84, "word": " of", "probability": 0.9384765625}, {"start": 2192.84, "end": 2193.04, "word": " X", "probability": 0.9951171875}, {"start": 2193.04, "end": 2193.32, "word": " زايد", "probability": 0.673828125}, {"start": 2193.32, "end": 2193.74, "word": " constant", "probability": 0.2222900390625}, {"start": 2193.74, "end": 2194.22, "word": " C", "probability": 0.87841796875}, {"start": 2194.22, "end": 2195.16, "word": " إذاً", "probability": 0.5081380208333334}, {"start": 2195.16, "end": 2195.76, "word": " بدنا", "probability": 0.894775390625}, {"start": 2195.76, "end": 2196.08, "word": " نروح", "probability": 0.9833984375}, {"start": 2196.08, "end": 2196.92, "word": " نطبق", "probability": 0.9588623046875}, {"start": 2196.92, "end": 2197.48, "word": " هذه", "probability": 0.96533203125}, {"start": 2197.48, "end": 2198.3, "word": " الخاصية", "probability": 0.9112955729166666}, {"start": 2198.3, "end": 2199.62, "word": " للخاصية", "probability": 0.8992919921875}, {"start": 2199.62, "end": 2200.24, "word": " الأخيرة", "probability": 0.9488932291666666}, {"start": 2200.24, "end": 2200.96, "word": " بجي", "probability": 0.6909993489583334}, {"start": 2200.96, "end": 2201.56, "word": " بطلع", "probability": 0.86083984375}, {"start": 2201.56, "end": 2201.88, "word": " هنا", "probability": 0.98291015625}, {"start": 2201.88, "end": 2202.28, "word": " هل", "probability": 0.898681640625}, {"start": 2202.28, "end": 2202.8, "word": " البص", "probability": 0.63232421875}, {"start": 2202.8, "end": 2203.38, "word": " هو", "probability": 0.75}, {"start": 2203.38, "end": 2204.12, "word": " مشتقة", "probability": 0.7227376302083334}, {"start": 2204.12, "end": 2204.92, "word": " النقاط؟", "probability": 0.61309814453125}], "temperature": 1.0}, {"id": 93, "seek": 222628, "start": 2205.02, "end": 2226.28, "text": "صحيح مشتقك الصين بكوصين يبقى حسب آخر خاصية لين absolute value لصين ال X لائد constant C وهذه معلومة ماكناش بنعرفها في calculus A تمام؟ بدي أقول هذه هي النقطة الأولى من هذا المثال", "tokens": [9381, 5016, 1829, 5016, 37893, 2655, 4587, 4117, 31767, 9957, 4724, 4117, 2407, 9381, 9957, 7251, 3555, 4587, 7578, 11331, 35457, 19753, 34740, 16490, 33546, 10632, 5296, 9957, 8236, 2158, 5296, 9381, 9957, 2423, 1783, 5296, 16373, 3215, 5754, 383, 37037, 24192, 20449, 1211, 20498, 3660, 19446, 19452, 33599, 44945, 3615, 28480, 11296, 8978, 33400, 316, 46811, 10943, 22807, 4724, 16254, 5551, 39648, 29538, 39896, 28239, 47432, 3660, 16247, 12610, 7578, 9154, 23758, 9673, 12984, 6027], "avg_logprob": -0.3364448160320133, "compression_ratio": 1.4334975369458127, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2205.02, "end": 2205.78, "word": "صحيح", "probability": 0.7463226318359375}, {"start": 2205.78, "end": 2206.36, "word": " مشتقك", "probability": 0.56732177734375}, {"start": 2206.36, "end": 2206.72, "word": " الصين", "probability": 0.56536865234375}, {"start": 2206.72, "end": 2207.42, "word": " بكوصين", "probability": 0.5888671875}, {"start": 2207.42, "end": 2208.16, "word": " يبقى", "probability": 0.8597412109375}, {"start": 2208.16, "end": 2208.62, "word": " حسب", "probability": 0.958251953125}, {"start": 2208.62, "end": 2209.14, "word": " آخر", "probability": 0.6865234375}, {"start": 2209.14, "end": 2210.28, "word": " خاصية", "probability": 0.99267578125}, {"start": 2210.28, "end": 2211.28, "word": " لين", "probability": 0.3724365234375}, {"start": 2211.28, "end": 2212.0, "word": " absolute", "probability": 0.82568359375}, {"start": 2212.0, "end": 2212.94, "word": " value", "probability": 0.986328125}, {"start": 2212.94, "end": 2213.54, "word": " لصين", "probability": 0.9000651041666666}, {"start": 2213.54, "end": 2213.72, "word": " ال", "probability": 0.8798828125}, {"start": 2213.72, "end": 2214.12, "word": " X", "probability": 0.65625}, {"start": 2214.12, "end": 2215.16, "word": " لائد", "probability": 0.5037434895833334}, {"start": 2215.16, "end": 2215.68, "word": " constant", "probability": 0.440185546875}, {"start": 2215.68, "end": 2216.1, "word": " C", "probability": 0.875}, {"start": 2216.1, "end": 2216.42, "word": " وهذه", "probability": 0.617431640625}, {"start": 2216.42, "end": 2217.14, "word": " معلومة", "probability": 0.897705078125}, {"start": 2217.14, "end": 2217.88, "word": " ماكناش", "probability": 0.8994140625}, {"start": 2217.88, "end": 2218.5, "word": " بنعرفها", "probability": 0.8638916015625}, {"start": 2218.5, "end": 2218.72, "word": " في", "probability": 0.919921875}, {"start": 2218.72, "end": 2219.4, "word": " calculus", "probability": 0.935546875}, {"start": 2219.4, "end": 2220.3, "word": " A", "probability": 0.63037109375}, {"start": 2220.3, "end": 2221.92, "word": " تمام؟", "probability": 0.7285970052083334}, {"start": 2221.92, "end": 2222.28, "word": " بدي", "probability": 0.5626220703125}, {"start": 2222.28, "end": 2222.64, "word": " أقول", "probability": 0.8203125}, {"start": 2222.64, "end": 2223.0, "word": " هذه", "probability": 0.6650390625}, {"start": 2223.0, "end": 2223.4, "word": " هي", "probability": 0.9228515625}, {"start": 2223.4, "end": 2224.28, "word": " النقطة", "probability": 0.9788411458333334}, {"start": 2224.28, "end": 2224.98, "word": " الأولى", "probability": 0.98681640625}, {"start": 2224.98, "end": 2225.18, "word": " من", "probability": 0.9814453125}, {"start": 2225.18, "end": 2225.54, "word": " هذا", "probability": 0.9482421875}, {"start": 2225.54, "end": 2226.28, "word": " المثال", "probability": 0.9752604166666666}], "temperature": 1.0}, {"id": 94, "seek": 224188, "start": 2226.52, "end": 2241.88, "text": "وأذهب إلى النقطة التانية تكامل لتان ال X DX ويسوي تكامل التانية عبارة عن ايه؟ sin X على cos X DX", "tokens": [2407, 10721, 24192, 3555, 30731, 28239, 47432, 3660, 16712, 7649, 10632, 6055, 4117, 10943, 1211, 5296, 2655, 7649, 2423, 1783, 48817, 4032, 1829, 3794, 45865, 6055, 4117, 10943, 1211, 16712, 7649, 10632, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 3224, 22807, 3343, 1783, 15844, 3792, 1783, 48817], "avg_logprob": -0.2970377678672473, "compression_ratio": 1.4324324324324325, "no_speech_prob": 0.0, "words": [{"start": 2226.52, "end": 2227.5, "word": "وأذهب", "probability": 0.662139892578125}, {"start": 2227.5, "end": 2227.78, "word": " إلى", "probability": 0.6845703125}, {"start": 2227.78, "end": 2228.48, "word": " النقطة", "probability": 0.9518229166666666}, {"start": 2228.48, "end": 2229.06, "word": " التانية", "probability": 0.9866536458333334}, {"start": 2229.06, "end": 2230.3, "word": " تكامل", "probability": 0.82501220703125}, {"start": 2230.3, "end": 2231.02, "word": " لتان", "probability": 0.9137369791666666}, {"start": 2231.02, "end": 2231.26, "word": " ال", "probability": 0.78466796875}, {"start": 2231.26, "end": 2231.9, "word": " X", "probability": 0.552734375}, {"start": 2231.9, "end": 2232.96, "word": " DX", "probability": 0.91455078125}, {"start": 2232.96, "end": 2234.12, "word": " ويسوي", "probability": 0.557647705078125}, {"start": 2234.12, "end": 2234.98, "word": " تكامل", "probability": 0.9564208984375}, {"start": 2234.98, "end": 2236.26, "word": " التانية", "probability": 0.781494140625}, {"start": 2236.26, "end": 2236.56, "word": " عبارة", "probability": 0.948974609375}, {"start": 2236.56, "end": 2236.7, "word": " عن", "probability": 0.984375}, {"start": 2236.7, "end": 2237.36, "word": " ايه؟", "probability": 0.681884765625}, {"start": 2237.36, "end": 2238.22, "word": " sin", "probability": 0.1544189453125}, {"start": 2238.22, "end": 2238.98, "word": " X", "probability": 0.86279296875}, {"start": 2238.98, "end": 2239.66, "word": " على", "probability": 0.50634765625}, {"start": 2239.66, "end": 2240.22, "word": " cos", "probability": 0.7060546875}, {"start": 2240.22, "end": 2241.22, "word": " X", "probability": 0.9033203125}, {"start": 2241.22, "end": 2241.88, "word": " DX", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 95, "seek": 226012, "start": 2243.04, "end": 2260.12, "text": "السؤال هو تفاضل الكو ساين سالب ساين وليس موجب ساين إذا ملزمنا إيه إشارة سالب فور بنحلها الإشكالية وبنقول سالب تكامل لسالب ساين ال X", "tokens": [6027, 3794, 33604, 6027, 31439, 6055, 5172, 46958, 1211, 33251, 2407, 8608, 995, 9957, 8608, 6027, 3555, 8608, 995, 9957, 4032, 20292, 3794, 3714, 29245, 3555, 8608, 995, 9957, 11933, 15730, 3714, 1211, 11622, 2304, 8315, 11933, 1829, 3224, 11933, 8592, 9640, 3660, 8608, 6027, 3555, 6156, 13063, 44945, 5016, 1211, 11296, 33688, 8592, 4117, 6027, 10632, 46599, 1863, 39648, 8608, 6027, 3555, 6055, 4117, 10943, 1211, 5296, 3794, 6027, 3555, 8608, 995, 9957, 2423, 1783], "avg_logprob": -0.29383116573482365, "compression_ratio": 1.7686567164179106, "no_speech_prob": 0.0, "words": [{"start": 2243.04, "end": 2243.68, "word": "السؤال", "probability": 0.789794921875}, {"start": 2243.68, "end": 2244.06, "word": " هو", "probability": 0.947265625}, {"start": 2244.06, "end": 2245.06, "word": " تفاضل", "probability": 0.95556640625}, {"start": 2245.06, "end": 2245.66, "word": " الكو", "probability": 0.5389404296875}, {"start": 2245.66, "end": 2246.26, "word": " ساين", "probability": 0.689697265625}, {"start": 2246.26, "end": 2247.42, "word": " سالب", "probability": 0.7290852864583334}, {"start": 2247.42, "end": 2247.88, "word": " ساين", "probability": 0.84619140625}, {"start": 2247.88, "end": 2248.46, "word": " وليس", "probability": 0.83740234375}, {"start": 2248.46, "end": 2248.88, "word": " موجب", "probability": 0.7007649739583334}, {"start": 2248.88, "end": 2249.14, "word": " ساين", "probability": 0.8601888020833334}, {"start": 2249.14, "end": 2249.38, "word": " إذا", "probability": 0.6668701171875}, {"start": 2249.38, "end": 2250.06, "word": " ملزمنا", "probability": 0.675634765625}, {"start": 2250.06, "end": 2250.32, "word": " إيه", "probability": 0.548583984375}, {"start": 2250.32, "end": 2251.5, "word": " إشارة", "probability": 0.84466552734375}, {"start": 2251.5, "end": 2252.04, "word": " سالب", "probability": 0.91162109375}, {"start": 2252.04, "end": 2252.52, "word": " فور", "probability": 0.678466796875}, {"start": 2252.52, "end": 2253.7, "word": " بنحلها", "probability": 0.68450927734375}, {"start": 2253.7, "end": 2254.92, "word": " الإشكالية", "probability": 0.9763671875}, {"start": 2254.92, "end": 2255.74, "word": " وبنقول", "probability": 0.7279459635416666}, {"start": 2255.74, "end": 2256.54, "word": " سالب", "probability": 0.9803059895833334}, {"start": 2256.54, "end": 2257.58, "word": " تكامل", "probability": 0.979736328125}, {"start": 2257.58, "end": 2258.6, "word": " لسالب", "probability": 0.930419921875}, {"start": 2258.6, "end": 2259.38, "word": " ساين", "probability": 0.865234375}, {"start": 2259.38, "end": 2259.66, "word": " ال", "probability": 0.50537109375}, {"start": 2259.66, "end": 2260.12, "word": " X", "probability": 0.56591796875}], "temperature": 1.0}, {"id": 96, "seek": 227996, "start": 2260.23, "end": 2279.97, "text": "على cosine ال X في DX كأننا ضربنا في سلب واحد وفي سلب واحد سلب واحد حطنا جوا التكامل سلب واحد حطنا برا التكامل ومدام كل أصلا تبقى طلع جوا التكامل اللي برا التكامل بدون أي مشكلة", "tokens": [3615, 23942, 23565, 2423, 1783, 8978, 48817, 9122, 33456, 8315, 48812, 25513, 8315, 8978, 8608, 46152, 36764, 24401, 4032, 41185, 8608, 46152, 36764, 24401, 8608, 46152, 36764, 24401, 11331, 9566, 8315, 10874, 14407, 16712, 4117, 10943, 1211, 8608, 46152, 36764, 24401, 11331, 9566, 8315, 4724, 23557, 16712, 4117, 10943, 1211, 4032, 2304, 3215, 10943, 28242, 5551, 9381, 15040, 6055, 3555, 4587, 7578, 23032, 1211, 3615, 10874, 14407, 16712, 4117, 10943, 1211, 13672, 1829, 4724, 23557, 16712, 4117, 10943, 1211, 47525, 11536, 36632, 37893, 28820, 3660], "avg_logprob": -0.23346657150013503, "compression_ratio": 2.0197368421052633, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 2260.23, "end": 2261.23, "word": "على", "probability": 0.593505859375}, {"start": 2261.23, "end": 2261.79, "word": " cosine", "probability": 0.1888427734375}, {"start": 2261.79, "end": 2262.27, "word": " ال", "probability": 0.291748046875}, {"start": 2262.27, "end": 2262.67, "word": " X", "probability": 0.423828125}, {"start": 2262.67, "end": 2262.91, "word": " في", "probability": 0.78515625}, {"start": 2262.91, "end": 2263.41, "word": " DX", "probability": 0.70654296875}, {"start": 2263.41, "end": 2264.75, "word": " كأننا", "probability": 0.7864583333333334}, {"start": 2264.75, "end": 2265.39, "word": " ضربنا", "probability": 0.9586588541666666}, {"start": 2265.39, "end": 2265.59, "word": " في", "probability": 0.9541015625}, {"start": 2265.59, "end": 2266.09, "word": " سلب", "probability": 0.697265625}, {"start": 2266.09, "end": 2266.55, "word": " واحد", "probability": 0.954345703125}, {"start": 2266.55, "end": 2266.75, "word": " وفي", "probability": 0.7191162109375}, {"start": 2266.75, "end": 2267.21, "word": " سلب", "probability": 0.986083984375}, {"start": 2267.21, "end": 2267.57, "word": " واحد", "probability": 0.98828125}, {"start": 2267.57, "end": 2268.27, "word": " سلب", "probability": 0.783935546875}, {"start": 2268.27, "end": 2268.57, "word": " واحد", "probability": 0.991943359375}, {"start": 2268.57, "end": 2269.03, "word": " حطنا", "probability": 0.7900390625}, {"start": 2269.03, "end": 2269.35, "word": " جوا", "probability": 0.68310546875}, {"start": 2269.35, "end": 2269.99, "word": " التكامل", "probability": 0.9652099609375}, {"start": 2269.99, "end": 2270.63, "word": " سلب", "probability": 0.691650390625}, {"start": 2270.63, "end": 2270.97, "word": " واحد", "probability": 0.995361328125}, {"start": 2270.97, "end": 2271.49, "word": " حطنا", "probability": 0.9666341145833334}, {"start": 2271.49, "end": 2272.09, "word": " برا", "probability": 0.95068359375}, {"start": 2272.09, "end": 2273.55, "word": " التكامل", "probability": 0.9901123046875}, {"start": 2273.55, "end": 2274.25, "word": " ومدام", "probability": 0.656494140625}, {"start": 2274.25, "end": 2274.49, "word": " كل", "probability": 0.93994140625}, {"start": 2274.49, "end": 2274.81, "word": " أصلا", "probability": 0.400634765625}, {"start": 2274.81, "end": 2275.15, "word": " تبقى", "probability": 0.9053955078125}, {"start": 2275.15, "end": 2275.61, "word": " طلع", "probability": 0.7000325520833334}, {"start": 2275.61, "end": 2275.87, "word": " جوا", "probability": 0.93896484375}, {"start": 2275.87, "end": 2276.43, "word": " التكامل", "probability": 0.9718017578125}, {"start": 2276.43, "end": 2276.53, "word": " اللي", "probability": 0.546142578125}, {"start": 2276.53, "end": 2276.85, "word": " برا", "probability": 0.90576171875}, {"start": 2276.85, "end": 2277.49, "word": " التكامل", "probability": 0.9896240234375}, {"start": 2277.49, "end": 2278.95, "word": " بدون", "probability": 0.980224609375}, {"start": 2278.95, "end": 2279.31, "word": " أي", "probability": 0.681640625}, {"start": 2279.31, "end": 2279.97, "word": " مشكلة", "probability": 0.9869791666666666}], "temperature": 1.0}, {"id": 97, "seek": 230426, "start": 2280.42, "end": 2304.26, "text": "الانصار البسط هو تفابل المقام يبقى الجواب للمقام يبقى سالب ل absolute value لcos x زائد constant C عليك لو سألتك اقول لك شو اسمك انت عمر عمر ايه؟", "tokens": [6027, 7649, 9381, 9640, 29739, 3794, 9566, 31439, 6055, 5172, 16758, 1211, 9673, 4587, 10943, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 5296, 19528, 4587, 10943, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 5296, 8236, 2158, 5296, 6877, 2031, 30767, 16373, 3215, 5754, 383, 6225, 20292, 4117, 45164, 8608, 10721, 1211, 2655, 4117, 1975, 39648, 5296, 4117, 13412, 2407, 24525, 2304, 4117, 16472, 2655, 6225, 29973, 6225, 29973, 1975, 1829, 3224, 22807], "avg_logprob": -0.29880137639502957, "compression_ratio": 1.4478527607361964, "no_speech_prob": 0.0, "words": [{"start": 2280.42, "end": 2281.22, "word": "الانصار", "probability": 0.6998291015625}, {"start": 2281.22, "end": 2281.68, "word": " البسط", "probability": 0.6944986979166666}, {"start": 2281.68, "end": 2281.88, "word": " هو", "probability": 0.85205078125}, {"start": 2281.88, "end": 2282.92, "word": " تفابل", "probability": 0.9432373046875}, {"start": 2282.92, "end": 2284.06, "word": " المقام", "probability": 0.9845377604166666}, {"start": 2284.06, "end": 2284.4, "word": " يبقى", "probability": 0.926513671875}, {"start": 2284.4, "end": 2285.46, "word": " الجواب", "probability": 0.9441731770833334}, {"start": 2285.46, "end": 2287.54, "word": " للمقام", "probability": 0.8262939453125}, {"start": 2287.54, "end": 2288.6, "word": " يبقى", "probability": 0.96435546875}, {"start": 2288.6, "end": 2289.44, "word": " سالب", "probability": 0.849609375}, {"start": 2289.44, "end": 2289.8, "word": " ل", "probability": 0.65673828125}, {"start": 2289.8, "end": 2290.82, "word": " absolute", "probability": 0.461181640625}, {"start": 2290.82, "end": 2292.2, "word": " value", "probability": 0.9892578125}, {"start": 2292.2, "end": 2293.18, "word": " لcos", "probability": 0.6314697265625}, {"start": 2293.18, "end": 2294.04, "word": " x", "probability": 0.63623046875}, {"start": 2294.04, "end": 2294.8, "word": " زائد", "probability": 0.51904296875}, {"start": 2294.8, "end": 2295.5, "word": " constant", "probability": 0.724609375}, {"start": 2295.5, "end": 2296.98, "word": " C", "probability": 0.46533203125}, {"start": 2296.98, "end": 2299.38, "word": " عليك", "probability": 0.4287516276041667}, {"start": 2299.38, "end": 2299.5, "word": " لو", "probability": 0.95361328125}, {"start": 2299.5, "end": 2299.92, "word": " سألتك", "probability": 0.73037109375}, {"start": 2299.92, "end": 2300.06, "word": " اقول", "probability": 0.516357421875}, {"start": 2300.06, "end": 2300.3, "word": " لك", "probability": 0.6700439453125}, {"start": 2300.3, "end": 2300.46, "word": " شو", "probability": 0.693359375}, {"start": 2300.46, "end": 2300.78, "word": " اسمك", "probability": 0.9080403645833334}, {"start": 2300.78, "end": 2301.56, "word": " انت", "probability": 0.79541015625}, {"start": 2301.56, "end": 2303.44, "word": " عمر", "probability": 0.755126953125}, {"start": 2303.44, "end": 2303.76, "word": " عمر", "probability": 0.81982421875}, {"start": 2303.76, "end": 2304.26, "word": " ايه؟", "probability": 0.918701171875}], "temperature": 1.0}, {"id": 98, "seek": 233450, "start": 2305.24, "end": 2334.5, "text": "ممتاز جدا، عمر هذا اتفل على إيجابتنا هاد هيك وماعجبتهش، ماعجبتهش ليش؟ انه في إشارة سالب، اروح وفرح عليه السؤال تجبر تكتبها إيه نتيجة بإشارة موجة بدون سالب؟ بنقوله نجرب، يمكن الله أعلم، يفجب أجي بقوله أنا بدي أستخدم خواصة الأهوات، لو وصل لحد هيك وخلص يبدأ حله سليم مائة بالمائة ولا واحد اللي اعتراب عليه", "tokens": [2304, 2304, 2655, 31377, 10874, 28259, 12399, 6225, 29973, 23758, 1975, 2655, 5172, 1211, 15844, 11933, 1829, 7435, 16758, 2655, 8315, 8032, 18513, 39896, 4117, 4032, 15042, 3615, 7435, 3555, 47395, 8592, 12399, 19446, 3615, 7435, 3555, 47395, 8592, 32239, 8592, 22807, 16472, 3224, 8978, 11933, 8592, 9640, 3660, 8608, 6027, 3555, 12399, 1975, 32887, 5016, 4032, 5172, 2288, 5016, 47356, 21136, 33604, 6027, 6055, 7435, 26890, 6055, 4117, 2655, 3555, 11296, 11933, 1829, 3224, 8717, 31371, 7435, 3660, 4724, 28814, 8592, 9640, 3660, 3714, 29245, 3660, 47525, 11536, 8608, 6027, 3555, 22807, 44945, 39648, 3224, 8717, 7435, 25513, 12399, 7251, 43020, 21984, 5551, 3615, 19528, 12399, 7251, 5172, 7435, 3555, 5551, 7435, 1829, 4724, 39648, 3224, 41850, 4724, 16254, 5551, 14851, 9778, 40448, 16490, 2407, 33546, 3660, 16247, 3224, 2407, 9307, 12399, 45164, 4032, 36520, 5296, 24401, 39896, 4117, 4032, 9778, 1211, 9381, 7251, 44510, 10721, 11331, 1211, 3224, 8608, 20292, 2304, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 49429, 36764, 24401, 13672, 1829, 1975, 34268, 2288, 16758, 47356], "avg_logprob": -0.2770467930369907, "compression_ratio": 1.9607142857142856, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2305.24, "end": 2305.92, "word": "ممتاز", "probability": 0.928955078125}, {"start": 2305.92, "end": 2306.74, "word": " جدا،", "probability": 0.7388916015625}, {"start": 2306.74, "end": 2307.12, "word": " عمر", "probability": 0.71435546875}, {"start": 2307.12, "end": 2307.42, "word": " هذا", "probability": 0.68603515625}, {"start": 2307.42, "end": 2307.78, "word": " اتفل", "probability": 0.486083984375}, {"start": 2307.78, "end": 2307.98, "word": " على", "probability": 0.61181640625}, {"start": 2307.98, "end": 2308.62, "word": " إيجابتنا", "probability": 0.884521484375}, {"start": 2308.62, "end": 2308.94, "word": " هاد", "probability": 0.375}, {"start": 2308.94, "end": 2309.42, "word": " هيك", "probability": 0.871826171875}, {"start": 2309.42, "end": 2311.2, "word": " وماعجبتهش،", "probability": 0.81396484375}, {"start": 2311.2, "end": 2311.88, "word": " ماعجبتهش", "probability": 0.979736328125}, {"start": 2311.88, "end": 2312.64, "word": " ليش؟", "probability": 0.8746744791666666}, {"start": 2312.64, "end": 2312.86, "word": " انه", "probability": 0.26519775390625}, {"start": 2312.86, "end": 2312.96, "word": " في", "probability": 0.7744140625}, {"start": 2312.96, "end": 2313.4, "word": " إشارة", "probability": 0.852294921875}, {"start": 2313.4, "end": 2314.32, "word": " سالب،", "probability": 0.81103515625}, {"start": 2314.32, "end": 2314.74, "word": " اروح", "probability": 0.725830078125}, {"start": 2314.74, "end": 2315.1, "word": " وفرح", "probability": 0.7711181640625}, {"start": 2315.1, "end": 2315.42, "word": " عليه", "probability": 0.410888671875}, {"start": 2315.42, "end": 2315.84, "word": " السؤال", "probability": 0.9425455729166666}, {"start": 2315.84, "end": 2316.76, "word": " تجبر", "probability": 0.3912353515625}, {"start": 2316.76, "end": 2317.54, "word": " تكتبها", "probability": 0.8904296875}, {"start": 2317.54, "end": 2318.08, "word": " إيه", "probability": 0.7655436197916666}, {"start": 2318.08, "end": 2318.6, "word": " نتيجة", "probability": 0.92578125}, {"start": 2318.6, "end": 2319.2, "word": " بإشارة", "probability": 0.92177734375}, {"start": 2319.2, "end": 2319.64, "word": " موجة", "probability": 0.9386393229166666}, {"start": 2319.64, "end": 2320.08, "word": " بدون", "probability": 0.9873046875}, {"start": 2320.08, "end": 2321.42, "word": " سالب؟", "probability": 0.9356689453125}, {"start": 2321.42, "end": 2321.78, "word": " بنقوله", "probability": 0.66943359375}, {"start": 2321.78, "end": 2322.72, "word": " نجرب،", "probability": 0.93310546875}, {"start": 2322.72, "end": 2323.18, "word": " يمكن", "probability": 0.983154296875}, {"start": 2323.18, "end": 2323.7, "word": " الله", "probability": 0.6328125}, {"start": 2323.7, "end": 2324.84, "word": " أعلم،", "probability": 0.9144287109375}, {"start": 2324.84, "end": 2325.18, "word": " يفجب", "probability": 0.55364990234375}, {"start": 2325.18, "end": 2325.44, "word": " أجي", "probability": 0.7555338541666666}, {"start": 2325.44, "end": 2325.96, "word": " بقوله", "probability": 0.7568359375}, {"start": 2325.96, "end": 2326.26, "word": " أنا", "probability": 0.60888671875}, {"start": 2326.26, "end": 2326.56, "word": " بدي", "probability": 0.6640625}, {"start": 2326.56, "end": 2327.14, "word": " أستخدم", "probability": 0.8846435546875}, {"start": 2327.14, "end": 2327.62, "word": " خواصة", "probability": 0.8525390625}, {"start": 2327.62, "end": 2328.4, "word": " الأهوات،", "probability": 0.665478515625}, {"start": 2328.4, "end": 2328.58, "word": " لو", "probability": 0.9873046875}, {"start": 2328.58, "end": 2328.94, "word": " وصل", "probability": 0.975830078125}, {"start": 2328.94, "end": 2329.38, "word": " لحد", "probability": 0.803955078125}, {"start": 2329.38, "end": 2329.9, "word": " هيك", "probability": 0.91162109375}, {"start": 2329.9, "end": 2331.02, "word": " وخلص", "probability": 0.9276123046875}, {"start": 2331.02, "end": 2331.32, "word": " يبدأ", "probability": 0.5364583333333334}, {"start": 2331.32, "end": 2331.94, "word": " حله", "probability": 0.8094075520833334}, {"start": 2331.94, "end": 2332.38, "word": " سليم", "probability": 0.97705078125}, {"start": 2332.38, "end": 2332.7, "word": " مائة", "probability": 0.7486979166666666}, {"start": 2332.7, "end": 2333.08, "word": " بالمائة", "probability": 0.923583984375}, {"start": 2333.08, "end": 2333.3, "word": " ولا", "probability": 0.634765625}, {"start": 2333.3, "end": 2333.62, "word": " واحد", "probability": 0.9931640625}, {"start": 2333.62, "end": 2333.76, "word": " اللي", "probability": 0.66064453125}, {"start": 2333.76, "end": 2334.18, "word": " اعتراب", "probability": 0.73529052734375}, {"start": 2334.18, "end": 2334.5, "word": " عليه", "probability": 0.94580078125}], "temperature": 1.0}, {"id": 99, "seek": 236027, "start": 2335.25, "end": 2360.27, "text": "لكن عنده خبرة في خواص ال لن فقال لي هذا سالب واحد في لن المقدار هذا، بدي أرجع لأصله قلت له ايش أصله؟ قال لي هذا هو لن absolute value لكوصين ال X أُس سالب واحد زائد Constancy قلنا له والله مظهر، ماحدش اللي اعترض عنك، صح؟ طبقا للخواص تماما", "tokens": [1211, 19452, 43242, 3224, 16490, 3555, 25720, 8978, 16490, 2407, 33546, 2423, 5296, 1863, 6156, 4587, 6027, 32239, 23758, 8608, 6027, 3555, 36764, 24401, 8978, 5296, 1863, 9673, 28543, 9640, 23758, 12399, 4724, 16254, 5551, 47341, 3615, 5296, 10721, 36520, 3224, 12174, 1211, 2655, 46740, 1975, 1829, 8592, 5551, 36520, 3224, 22807, 50239, 32239, 23758, 31439, 5296, 1863, 8236, 2158, 5296, 4117, 2407, 9381, 9957, 2423, 1783, 5551, 10859, 3794, 8608, 6027, 3555, 36764, 24401, 30767, 16373, 3215, 8574, 6717, 12174, 1211, 8315, 46740, 16070, 43761, 3714, 19913, 3224, 2288, 12399, 19446, 24401, 8592, 13672, 1829, 1975, 34268, 43042, 18871, 4117, 12399, 20328, 5016, 22807, 23032, 3555, 4587, 995, 24976, 9778, 2407, 33546, 46811, 10943, 995], "avg_logprob": -0.24893163004492083, "compression_ratio": 1.6962025316455696, "no_speech_prob": 0.0, "words": [{"start": 2335.25, "end": 2335.75, "word": "لكن", "probability": 0.6795654296875}, {"start": 2335.75, "end": 2336.29, "word": " عنده", "probability": 0.97314453125}, {"start": 2336.29, "end": 2337.01, "word": " خبرة", "probability": 0.9314778645833334}, {"start": 2337.01, "end": 2338.01, "word": " في", "probability": 0.89404296875}, {"start": 2338.01, "end": 2338.79, "word": " خواص", "probability": 0.916015625}, {"start": 2338.79, "end": 2339.09, "word": " ال", "probability": 0.806640625}, {"start": 2339.09, "end": 2339.39, "word": " لن", "probability": 0.57232666015625}, {"start": 2339.39, "end": 2340.27, "word": " فقال", "probability": 0.8515625}, {"start": 2340.27, "end": 2340.43, "word": " لي", "probability": 0.5400390625}, {"start": 2340.43, "end": 2340.73, "word": " هذا", "probability": 0.90869140625}, {"start": 2340.73, "end": 2341.45, "word": " سالب", "probability": 0.8548177083333334}, {"start": 2341.45, "end": 2342.01, "word": " واحد", "probability": 0.980224609375}, {"start": 2342.01, "end": 2342.25, "word": " في", "probability": 0.853515625}, {"start": 2342.25, "end": 2342.53, "word": " لن", "probability": 0.916748046875}, {"start": 2342.53, "end": 2343.19, "word": " المقدار", "probability": 0.9166666666666666}, {"start": 2343.19, "end": 2343.53, "word": " هذا،", "probability": 0.6220703125}, {"start": 2343.53, "end": 2343.91, "word": " بدي", "probability": 0.71142578125}, {"start": 2343.91, "end": 2344.47, "word": " أرجع", "probability": 0.795166015625}, {"start": 2344.47, "end": 2345.17, "word": " لأصله", "probability": 0.8304443359375}, {"start": 2345.17, "end": 2345.71, "word": " قلت", "probability": 0.6538899739583334}, {"start": 2345.71, "end": 2345.85, "word": " له", "probability": 0.68017578125}, {"start": 2345.85, "end": 2346.03, "word": " ايش", "probability": 0.7833658854166666}, {"start": 2346.03, "end": 2347.11, "word": " أصله؟", "probability": 0.8900146484375}, {"start": 2347.11, "end": 2347.31, "word": " قال", "probability": 0.66796875}, {"start": 2347.31, "end": 2347.47, "word": " لي", "probability": 0.7841796875}, {"start": 2347.47, "end": 2347.85, "word": " هذا", "probability": 0.87353515625}, {"start": 2347.85, "end": 2348.31, "word": " هو", "probability": 0.9921875}, {"start": 2348.31, "end": 2349.13, "word": " لن", "probability": 0.91650390625}, {"start": 2349.13, "end": 2350.01, "word": " absolute", "probability": 0.7470703125}, {"start": 2350.01, "end": 2350.81, "word": " value", "probability": 0.99169921875}, {"start": 2350.81, "end": 2351.51, "word": " لكوصين", "probability": 0.75478515625}, {"start": 2351.51, "end": 2351.65, "word": " ال", "probability": 0.94775390625}, {"start": 2351.65, "end": 2351.87, "word": " X", "probability": 0.72119140625}, {"start": 2351.87, "end": 2352.31, "word": " أُس", "probability": 0.7057291666666666}, {"start": 2352.31, "end": 2352.81, "word": " سالب", "probability": 0.9599609375}, {"start": 2352.81, "end": 2353.27, "word": " واحد", "probability": 0.987548828125}, {"start": 2353.27, "end": 2354.07, "word": " زائد", "probability": 0.8186848958333334}, {"start": 2354.07, "end": 2354.77, "word": " Constancy", "probability": 0.35150146484375}, {"start": 2354.77, "end": 2355.05, "word": " قلنا", "probability": 0.7373860677083334}, {"start": 2355.05, "end": 2355.21, "word": " له", "probability": 0.409423828125}, {"start": 2355.21, "end": 2355.41, "word": " والله", "probability": 0.7078857421875}, {"start": 2355.41, "end": 2356.37, "word": " مظهر،", "probability": 0.820703125}, {"start": 2356.37, "end": 2357.05, "word": " ماحدش", "probability": 0.9269205729166666}, {"start": 2357.05, "end": 2357.17, "word": " اللي", "probability": 0.753173828125}, {"start": 2357.17, "end": 2357.55, "word": " اعترض", "probability": 0.8585611979166666}, {"start": 2357.55, "end": 2358.03, "word": " عنك،", "probability": 0.661376953125}, {"start": 2358.03, "end": 2358.79, "word": " صح؟", "probability": 0.90380859375}, {"start": 2358.79, "end": 2359.19, "word": " طبقا", "probability": 0.8594970703125}, {"start": 2359.19, "end": 2359.73, "word": " للخواص", "probability": 0.8709716796875}, {"start": 2359.73, "end": 2360.27, "word": " تماما", "probability": 0.99609375}], "temperature": 1.0}, {"id": 100, "seek": 238884, "start": 2360.76, "end": 2388.84, "text": "رح قال لي هذا بده يساوي اللي هو الـ N واحد على كوسين الـ X absolute value بدل ما كان بيقسم فوق نزلها بيقسم و جاب في المقام و قال لي هذا زائد Constancy قلنا له ماشي قال لي واحد على كوسين هي مقلب من؟ مقلب ال second رح قال لي هذا ال N absolute value لها second X second X", "tokens": [2288, 5016, 50239, 32239, 23758, 47525, 3224, 7251, 3794, 995, 45865, 13672, 1829, 31439, 2423, 39184, 426, 36764, 24401, 15844, 9122, 41779, 9957, 2423, 39184, 1783, 8236, 2158, 47525, 1211, 19446, 25961, 4724, 1829, 4587, 38251, 6156, 30543, 8717, 11622, 1211, 11296, 4724, 1829, 4587, 38251, 4032, 10874, 16758, 8978, 9673, 4587, 10943, 4032, 50239, 32239, 23758, 30767, 16373, 3215, 8574, 6717, 12174, 1211, 8315, 46740, 3714, 33599, 1829, 50239, 32239, 36764, 24401, 15844, 9122, 41779, 9957, 39896, 3714, 4587, 46152, 9154, 22807, 3714, 4587, 46152, 2423, 1150, 12602, 5016, 50239, 32239, 23758, 2423, 426, 8236, 2158, 5296, 11296, 1150, 1783, 1150, 1783], "avg_logprob": -0.31911057147842187, "compression_ratio": 1.9624413145539905, "no_speech_prob": 0.0, "words": [{"start": 2360.76, "end": 2361.24, "word": "رح", "probability": 0.1886138916015625}, {"start": 2361.24, "end": 2361.5, "word": " قال", "probability": 0.6396484375}, {"start": 2361.5, "end": 2361.68, "word": " لي", "probability": 0.372802734375}, {"start": 2361.68, "end": 2361.96, "word": " هذا", "probability": 0.89111328125}, {"start": 2361.96, "end": 2362.44, "word": " بده", "probability": 0.5367431640625}, {"start": 2362.44, "end": 2363.16, "word": " يساوي", "probability": 0.96923828125}, {"start": 2363.16, "end": 2363.96, "word": " اللي", "probability": 0.93798828125}, {"start": 2363.96, "end": 2364.24, "word": " هو", "probability": 0.98046875}, {"start": 2364.24, "end": 2364.52, "word": " الـ", "probability": 0.4549560546875}, {"start": 2364.52, "end": 2364.84, "word": " N", "probability": 0.1680908203125}, {"start": 2364.84, "end": 2365.94, "word": " واحد", "probability": 0.869140625}, {"start": 2365.94, "end": 2366.3, "word": " على", "probability": 0.63623046875}, {"start": 2366.3, "end": 2367.12, "word": " كوسين", "probability": 0.5968424479166666}, {"start": 2367.12, "end": 2367.42, "word": " الـ", "probability": 0.654052734375}, {"start": 2367.42, "end": 2367.66, "word": " X", "probability": 0.8427734375}, {"start": 2367.66, "end": 2368.3, "word": " absolute", "probability": 0.578125}, {"start": 2368.3, "end": 2368.82, "word": " value", "probability": 0.9921875}, {"start": 2368.82, "end": 2369.52, "word": " بدل", "probability": 0.74365234375}, {"start": 2369.52, "end": 2369.66, "word": " ما", "probability": 0.919921875}, {"start": 2369.66, "end": 2369.82, "word": " كان", "probability": 0.9521484375}, {"start": 2369.82, "end": 2370.26, "word": " بيقسم", "probability": 0.80316162109375}, {"start": 2370.26, "end": 2370.9, "word": " فوق", "probability": 0.83642578125}, {"start": 2370.9, "end": 2371.36, "word": " نزلها", "probability": 0.8524169921875}, {"start": 2371.36, "end": 2371.84, "word": " بيقسم", "probability": 0.962646484375}, {"start": 2371.84, "end": 2372.12, "word": " و", "probability": 0.5595703125}, {"start": 2372.12, "end": 2372.44, "word": " جاب", "probability": 0.79248046875}, {"start": 2372.44, "end": 2372.64, "word": " في", "probability": 0.67724609375}, {"start": 2372.64, "end": 2373.36, "word": " المقام", "probability": 0.9869791666666666}, {"start": 2373.36, "end": 2373.9, "word": " و", "probability": 0.93359375}, {"start": 2373.9, "end": 2374.12, "word": " قال", "probability": 0.8193359375}, {"start": 2374.12, "end": 2374.24, "word": " لي", "probability": 0.86328125}, {"start": 2374.24, "end": 2374.52, "word": " هذا", "probability": 0.92529296875}, {"start": 2374.52, "end": 2375.12, "word": " زائد", "probability": 0.800537109375}, {"start": 2375.12, "end": 2375.96, "word": " Constancy", "probability": 0.54296875}, {"start": 2375.96, "end": 2376.4, "word": " قلنا", "probability": 0.8011067708333334}, {"start": 2376.4, "end": 2376.6, "word": " له", "probability": 0.51806640625}, {"start": 2376.6, "end": 2377.16, "word": " ماشي", "probability": 0.9611002604166666}, {"start": 2377.16, "end": 2377.78, "word": " قال", "probability": 0.5234375}, {"start": 2377.78, "end": 2377.88, "word": " لي", "probability": 0.84765625}, {"start": 2377.88, "end": 2378.16, "word": " واحد", "probability": 0.987060546875}, {"start": 2378.16, "end": 2378.3, "word": " على", "probability": 0.7568359375}, {"start": 2378.3, "end": 2378.72, "word": " كوسين", "probability": 0.8238932291666666}, {"start": 2378.72, "end": 2378.9, "word": " هي", "probability": 0.392333984375}, {"start": 2378.9, "end": 2379.36, "word": " مقلب", "probability": 0.8229166666666666}, {"start": 2379.36, "end": 2380.18, "word": " من؟", "probability": 0.6019287109375}, {"start": 2380.18, "end": 2380.96, "word": " مقلب", "probability": 0.9632161458333334}, {"start": 2380.96, "end": 2381.2, "word": " ال", "probability": 0.417724609375}, {"start": 2381.2, "end": 2381.5, "word": " second", "probability": 0.70654296875}, {"start": 2381.5, "end": 2382.52, "word": " رح", "probability": 0.823974609375}, {"start": 2382.52, "end": 2382.8, "word": " قال", "probability": 0.96044921875}, {"start": 2382.8, "end": 2382.94, "word": " لي", "probability": 0.52880859375}, {"start": 2382.94, "end": 2383.26, "word": " هذا", "probability": 0.5146484375}, {"start": 2383.26, "end": 2383.58, "word": " ال", "probability": 0.828125}, {"start": 2383.58, "end": 2383.92, "word": " N", "probability": 0.56494140625}, {"start": 2383.92, "end": 2384.96, "word": " absolute", "probability": 0.9248046875}, {"start": 2384.96, "end": 2385.62, "word": " value", "probability": 0.98876953125}, {"start": 2385.62, "end": 2385.9, "word": " لها", "probability": 0.796142578125}, {"start": 2385.9, "end": 2386.34, "word": " second", "probability": 0.9287109375}, {"start": 2386.34, "end": 2386.96, "word": " X", "probability": 0.939453125}, {"start": 2386.96, "end": 2387.82, "word": " second", "probability": 0.85498046875}, {"start": 2387.82, "end": 2388.84, "word": " X", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 101, "seek": 240991, "start": 2389.01, "end": 2409.91, "text": "تمام؟ زائد كنستانسية قلناله والله مضجال هيها بالموجب ومش محتاج نشار السلم يبقى سواء كتبت الأولى او الثانية زي ما قالها زميلكوا عمر ماعنا مشكلة سواء كانت هذه والله هذه", "tokens": [2655, 15042, 2304, 22807, 30767, 16373, 3215, 9122, 1863, 14851, 7649, 3794, 10632, 12174, 1211, 8315, 43761, 16070, 43761, 3714, 11242, 7435, 6027, 39896, 11296, 20666, 2304, 29245, 3555, 4032, 2304, 8592, 3714, 33753, 26108, 8717, 8592, 9640, 21136, 19528, 7251, 3555, 4587, 7578, 8608, 2407, 16606, 9122, 2655, 3555, 2655, 16247, 12610, 7578, 1975, 2407, 6024, 104, 7649, 10632, 30767, 1829, 19446, 50239, 11296, 30767, 2304, 26895, 4117, 14407, 6225, 29973, 19446, 3615, 8315, 37893, 28820, 3660, 8608, 2407, 16606, 25961, 2655, 29538, 16070, 43761, 29538], "avg_logprob": -0.35475851967930794, "compression_ratio": 1.7514450867052023, "no_speech_prob": 0.361083984375, "words": [{"start": 2389.01, "end": 2390.13, "word": "تمام؟", "probability": 0.475189208984375}, {"start": 2390.13, "end": 2390.85, "word": " زائد", "probability": 0.6893717447916666}, {"start": 2390.85, "end": 2392.21, "word": " كنستانسية", "probability": 0.519989013671875}, {"start": 2392.21, "end": 2393.05, "word": " قلناله", "probability": 0.5614013671875}, {"start": 2393.05, "end": 2393.35, "word": " والله", "probability": 0.822265625}, {"start": 2393.35, "end": 2394.01, "word": " مضجال", "probability": 0.62176513671875}, {"start": 2394.01, "end": 2394.43, "word": " هيها", "probability": 0.82177734375}, {"start": 2394.43, "end": 2395.19, "word": " بالموجب", "probability": 0.9521484375}, {"start": 2395.19, "end": 2395.83, "word": " ومش", "probability": 0.8605143229166666}, {"start": 2395.83, "end": 2396.37, "word": " محتاج", "probability": 0.9373372395833334}, {"start": 2396.37, "end": 2397.01, "word": " نشار", "probability": 0.6582438151041666}, {"start": 2397.01, "end": 2397.59, "word": " السلم", "probability": 0.654052734375}, {"start": 2397.59, "end": 2398.57, "word": " يبقى", "probability": 0.9580078125}, {"start": 2398.57, "end": 2398.93, "word": " سواء", "probability": 0.9563802083333334}, {"start": 2398.93, "end": 2399.65, "word": " كتبت", "probability": 0.97314453125}, {"start": 2399.65, "end": 2400.53, "word": " الأولى", "probability": 0.935546875}, {"start": 2400.53, "end": 2400.91, "word": " او", "probability": 0.757080078125}, {"start": 2400.91, "end": 2401.97, "word": " الثانية", "probability": 0.954345703125}, {"start": 2401.97, "end": 2402.81, "word": " زي", "probability": 0.55194091796875}, {"start": 2402.81, "end": 2403.33, "word": " ما", "probability": 0.96826171875}, {"start": 2403.33, "end": 2403.65, "word": " قالها", "probability": 0.748046875}, {"start": 2403.65, "end": 2404.43, "word": " زميلكوا", "probability": 0.701904296875}, {"start": 2404.43, "end": 2404.77, "word": " عمر", "probability": 0.921875}, {"start": 2404.77, "end": 2406.03, "word": " ماعنا", "probability": 0.6411539713541666}, {"start": 2406.03, "end": 2406.87, "word": " مشكلة", "probability": 0.9573567708333334}, {"start": 2406.87, "end": 2407.29, "word": " سواء", "probability": 0.9607747395833334}, {"start": 2407.29, "end": 2407.73, "word": " كانت", "probability": 0.969482421875}, {"start": 2407.73, "end": 2408.09, "word": " هذه", "probability": 0.79541015625}, {"start": 2408.09, "end": 2409.33, "word": " والله", "probability": 0.711181640625}, {"start": 2409.33, "end": 2409.91, "word": " هذه", "probability": 0.8779296875}], "temperature": 1.0}, {"id": 102, "seek": 244707, "start": 2419.43, "end": 2447.07, "text": "بقول يسوي تكامل ابصريش، إيش نسوي في هذه؟ يعني أنت مذاكر ثلاثي عام كويس، تمام تمام، يبقى هذه سك ال X في مين؟ في سك ال X زائد تان ال X على سك ال X", "tokens": [3555, 39648, 7251, 3794, 45865, 6055, 4117, 10943, 1211, 48127, 9381, 16572, 8592, 12399, 11933, 1829, 8592, 8717, 3794, 45865, 8978, 29538, 22807, 37495, 22653, 14739, 2655, 3714, 15730, 37983, 38637, 1211, 5718, 104, 1829, 6225, 10943, 9122, 45865, 3794, 12399, 46811, 10943, 46811, 10943, 12399, 7251, 3555, 4587, 7578, 29538, 8608, 4117, 2423, 1783, 8978, 3714, 9957, 22807, 8978, 8608, 4117, 2423, 1783, 30767, 16373, 3215, 6055, 7649, 2423, 1783, 15844, 8608, 4117, 2423, 1783], "avg_logprob": -0.24857955319540842, "compression_ratio": 1.6891891891891893, "no_speech_prob": 0.0, "words": [{"start": 2419.43, "end": 2420.07, "word": "بقول", "probability": 0.864013671875}, {"start": 2420.07, "end": 2420.67, "word": " يسوي", "probability": 0.7882486979166666}, {"start": 2420.67, "end": 2421.53, "word": " تكامل", "probability": 0.8427734375}, {"start": 2421.53, "end": 2423.05, "word": " ابصريش،", "probability": 0.69296875}, {"start": 2423.05, "end": 2423.33, "word": " إيش", "probability": 0.7613118489583334}, {"start": 2423.33, "end": 2423.73, "word": " نسوي", "probability": 0.80517578125}, {"start": 2423.73, "end": 2423.91, "word": " في", "probability": 0.58740234375}, {"start": 2423.91, "end": 2424.53, "word": " هذه؟", "probability": 0.8076171875}, {"start": 2424.53, "end": 2432.59, "word": " يعني", "probability": 0.623291015625}, {"start": 2432.59, "end": 2432.83, "word": " أنت", "probability": 0.72509765625}, {"start": 2432.83, "end": 2433.19, "word": " مذاكر", "probability": 0.7932942708333334}, {"start": 2433.19, "end": 2433.57, "word": " ثلاثي", "probability": 0.6388671875}, {"start": 2433.57, "end": 2433.91, "word": " عام", "probability": 0.88916015625}, {"start": 2433.91, "end": 2434.63, "word": " كويس،", "probability": 0.8641357421875}, {"start": 2434.63, "end": 2435.93, "word": " تمام", "probability": 0.968017578125}, {"start": 2435.93, "end": 2437.07, "word": " تمام،", "probability": 0.7306315104166666}, {"start": 2437.07, "end": 2437.67, "word": " يبقى", "probability": 0.9305419921875}, {"start": 2437.67, "end": 2438.09, "word": " هذه", "probability": 0.87841796875}, {"start": 2438.09, "end": 2438.79, "word": " سك", "probability": 0.83203125}, {"start": 2438.79, "end": 2439.09, "word": " ال", "probability": 0.53076171875}, {"start": 2439.09, "end": 2439.51, "word": " X", "probability": 0.685546875}, {"start": 2439.51, "end": 2440.07, "word": " في", "probability": 0.93017578125}, {"start": 2440.07, "end": 2440.65, "word": " مين؟", "probability": 0.8860677083333334}, {"start": 2440.65, "end": 2440.85, "word": " في", "probability": 0.9501953125}, {"start": 2440.85, "end": 2441.43, "word": " سك", "probability": 0.963134765625}, {"start": 2441.43, "end": 2441.75, "word": " ال", "probability": 0.697265625}, {"start": 2441.75, "end": 2442.17, "word": " X", "probability": 0.9921875}, {"start": 2442.17, "end": 2443.43, "word": " زائد", "probability": 0.8142903645833334}, {"start": 2443.43, "end": 2443.85, "word": " تان", "probability": 0.938720703125}, {"start": 2443.85, "end": 2444.07, "word": " ال", "probability": 0.426513671875}, {"start": 2444.07, "end": 2444.53, "word": " X", "probability": 0.9912109375}, {"start": 2444.53, "end": 2445.47, "word": " على", "probability": 0.81640625}, {"start": 2445.47, "end": 2446.21, "word": " سك", "probability": 0.967529296875}, {"start": 2446.21, "end": 2446.57, "word": " ال", "probability": 0.92041015625}, {"start": 2446.57, "end": 2447.07, "word": " X", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 103, "seek": 246267, "start": 2448.68, "end": 2462.68, "text": "زائد تان ال X كله بالنسبة ال ا دي X طبعا يبقى طالع واحد يقول وش هالفلك عالي غير شكل هذه يعني ليش هذه ضرب في سك زائد تاني وجسم على سك زي يعني كان ضرب في واحد صحية", "tokens": [11622, 16373, 3215, 6055, 7649, 2423, 1783, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 1975, 11778, 1829, 1783, 23032, 3555, 3615, 995, 7251, 3555, 4587, 7578, 23032, 6027, 3615, 36764, 24401, 7251, 39648, 4032, 8592, 8032, 6027, 5172, 23275, 6225, 6027, 1829, 32771, 13546, 13412, 28820, 29538, 37495, 22653, 32239, 8592, 29538, 48812, 25513, 8978, 8608, 4117, 30767, 16373, 3215, 6055, 7649, 1829, 49610, 38251, 15844, 8608, 4117, 30767, 1829, 37495, 22653, 25961, 48812, 25513, 8978, 36764, 24401, 20328, 5016, 10632], "avg_logprob": -0.32374238931551214, "compression_ratio": 1.7515527950310559, "no_speech_prob": 0.0, "words": [{"start": 2448.6800000000003, "end": 2449.2400000000002, "word": "زائد", "probability": 0.6490071614583334}, {"start": 2449.2400000000002, "end": 2449.8, "word": " تان", "probability": 0.8447265625}, {"start": 2449.8, "end": 2450.02, "word": " ال", "probability": 0.62353515625}, {"start": 2450.02, "end": 2450.46, "word": " X", "probability": 0.57373046875}, {"start": 2450.46, "end": 2451.04, "word": " كله", "probability": 0.892333984375}, {"start": 2451.04, "end": 2451.84, "word": " بالنسبة", "probability": 0.99267578125}, {"start": 2451.84, "end": 2452.06, "word": " ال", "probability": 0.50927734375}, {"start": 2452.06, "end": 2452.18, "word": " ا", "probability": 0.154052734375}, {"start": 2452.18, "end": 2452.4, "word": " دي", "probability": 0.713134765625}, {"start": 2452.4, "end": 2452.62, "word": " X", "probability": 0.693359375}, {"start": 2452.62, "end": 2453.52, "word": " طبعا", "probability": 0.738555908203125}, {"start": 2453.52, "end": 2453.78, "word": " يبقى", "probability": 0.7657470703125}, {"start": 2453.78, "end": 2454.08, "word": " طالع", "probability": 0.627685546875}, {"start": 2454.08, "end": 2454.26, "word": " واحد", "probability": 0.97509765625}, {"start": 2454.26, "end": 2454.44, "word": " يقول", "probability": 0.88623046875}, {"start": 2454.44, "end": 2454.74, "word": " وش", "probability": 0.453125}, {"start": 2454.74, "end": 2455.2, "word": " هالفلك", "probability": 0.68096923828125}, {"start": 2455.2, "end": 2455.48, "word": " عالي", "probability": 0.4668782552083333}, {"start": 2455.48, "end": 2455.66, "word": " غير", "probability": 0.986572265625}, {"start": 2455.66, "end": 2455.98, "word": " شكل", "probability": 0.89892578125}, {"start": 2455.98, "end": 2456.36, "word": " هذه", "probability": 0.257568359375}, {"start": 2456.36, "end": 2457.14, "word": " يعني", "probability": 0.821533203125}, {"start": 2457.14, "end": 2457.6, "word": " ليش", "probability": 0.954833984375}, {"start": 2457.6, "end": 2458.0, "word": " هذه", "probability": 0.82470703125}, {"start": 2458.0, "end": 2458.88, "word": " ضرب", "probability": 0.776611328125}, {"start": 2458.88, "end": 2459.12, "word": " في", "probability": 0.94873046875}, {"start": 2459.12, "end": 2459.46, "word": " سك", "probability": 0.5811767578125}, {"start": 2459.46, "end": 2459.94, "word": " زائد", "probability": 0.9763997395833334}, {"start": 2459.94, "end": 2460.2, "word": " تاني", "probability": 0.9697265625}, {"start": 2460.2, "end": 2460.56, "word": " وجسم", "probability": 0.8525390625}, {"start": 2460.56, "end": 2460.78, "word": " على", "probability": 0.79541015625}, {"start": 2460.78, "end": 2461.06, "word": " سك", "probability": 0.9609375}, {"start": 2461.06, "end": 2461.18, "word": " زي", "probability": 0.6380615234375}, {"start": 2461.18, "end": 2461.38, "word": " يعني", "probability": 0.60546875}, {"start": 2461.38, "end": 2461.62, "word": " كان", "probability": 0.89453125}, {"start": 2461.62, "end": 2461.88, "word": " ضرب", "probability": 0.9873046875}, {"start": 2461.88, "end": 2462.0, "word": " في", "probability": 0.95166015625}, {"start": 2462.0, "end": 2462.24, "word": " واحد", "probability": 0.981689453125}, {"start": 2462.24, "end": 2462.68, "word": " صحية", "probability": 0.86865234375}], "temperature": 1.0}, {"id": 104, "seek": 248758, "start": 2463.36, "end": 2487.58, "text": "مافيش إشكالية بنقول له آه هذه بتحل المشكلة العويصة اللي مش جادر أحلها يبقى سك في سك بسك تربيه X زائد سك ال X في تان ال X كله على سك ال X زائد تان ال X وهذا كله بالنسبة إلى DX يعني إيش عملنا فكنا القوس ضربنا السك في اللي داخل القوس", "tokens": [15042, 41185, 8592, 11933, 8592, 4117, 6027, 10632, 4724, 1863, 39648, 46740, 19753, 3224, 29538, 39894, 5016, 1211, 9673, 8592, 28820, 3660, 18863, 45865, 9381, 3660, 13672, 1829, 37893, 10874, 18513, 2288, 5551, 5016, 1211, 11296, 7251, 3555, 4587, 7578, 8608, 4117, 8978, 8608, 4117, 4724, 3794, 4117, 6055, 2288, 21292, 3224, 1783, 30767, 16373, 3215, 8608, 4117, 2423, 1783, 8978, 6055, 7649, 2423, 1783, 28242, 3224, 15844, 8608, 4117, 2423, 1783, 30767, 16373, 3215, 6055, 7649, 2423, 1783, 37037, 15730, 28242, 3224, 20666, 1863, 35457, 3660, 30731, 48817, 37495, 22653, 11933, 1829, 8592, 6225, 42213, 8315, 6156, 4117, 8315, 25062, 41779, 48812, 25513, 8315, 21136, 4117, 8978, 13672, 1829, 11778, 47283, 1211, 25062, 41779], "avg_logprob": -0.19841056252861844, "compression_ratio": 1.9753694581280787, "no_speech_prob": 0.0, "words": [{"start": 2463.36, "end": 2463.66, "word": "مافيش", "probability": 0.3375040690104167}, {"start": 2463.66, "end": 2464.26, "word": " إشكالية", "probability": 0.83642578125}, {"start": 2464.26, "end": 2465.18, "word": " بنقول", "probability": 0.579345703125}, {"start": 2465.18, "end": 2465.36, "word": " له", "probability": 0.57666015625}, {"start": 2465.36, "end": 2465.88, "word": " آه", "probability": 0.6234130859375}, {"start": 2465.88, "end": 2466.28, "word": " هذه", "probability": 0.65380859375}, {"start": 2466.28, "end": 2466.86, "word": " بتحل", "probability": 0.9013671875}, {"start": 2466.86, "end": 2467.48, "word": " المشكلة", "probability": 0.9149169921875}, {"start": 2467.48, "end": 2468.04, "word": " العويصة", "probability": 0.9052734375}, {"start": 2468.04, "end": 2468.16, "word": " اللي", "probability": 0.891357421875}, {"start": 2468.16, "end": 2468.32, "word": " مش", "probability": 0.98486328125}, {"start": 2468.32, "end": 2468.68, "word": " جادر", "probability": 0.8251953125}, {"start": 2468.68, "end": 2469.2, "word": " أحلها", "probability": 0.8616943359375}, {"start": 2469.2, "end": 2470.02, "word": " يبقى", "probability": 0.9173583984375}, {"start": 2470.02, "end": 2470.38, "word": " سك", "probability": 0.68017578125}, {"start": 2470.38, "end": 2470.6, "word": " في", "probability": 0.93798828125}, {"start": 2470.6, "end": 2471.14, "word": " سك", "probability": 0.990478515625}, {"start": 2471.14, "end": 2471.64, "word": " بسك", "probability": 0.9147135416666666}, {"start": 2471.64, "end": 2472.22, "word": " تربيه", "probability": 0.756103515625}, {"start": 2472.22, "end": 2472.62, "word": " X", "probability": 0.53515625}, {"start": 2472.62, "end": 2473.56, "word": " زائد", "probability": 0.828125}, {"start": 2473.56, "end": 2474.1, "word": " سك", "probability": 0.96142578125}, {"start": 2474.1, "end": 2474.36, "word": " ال", "probability": 0.59814453125}, {"start": 2474.36, "end": 2474.78, "word": " X", "probability": 0.92333984375}, {"start": 2474.78, "end": 2475.14, "word": " في", "probability": 0.89599609375}, {"start": 2475.14, "end": 2475.54, "word": " تان", "probability": 0.969970703125}, {"start": 2475.54, "end": 2475.72, "word": " ال", "probability": 0.84033203125}, {"start": 2475.72, "end": 2476.16, "word": " X", "probability": 0.9873046875}, {"start": 2476.16, "end": 2477.06, "word": " كله", "probability": 0.951416015625}, {"start": 2477.06, "end": 2477.34, "word": " على", "probability": 0.890625}, {"start": 2477.34, "end": 2477.92, "word": " سك", "probability": 0.9736328125}, {"start": 2477.92, "end": 2478.18, "word": " ال", "probability": 0.7890625}, {"start": 2478.18, "end": 2478.58, "word": " X", "probability": 0.9931640625}, {"start": 2478.58, "end": 2479.52, "word": " زائد", "probability": 0.98046875}, {"start": 2479.52, "end": 2479.96, "word": " تان", "probability": 0.99365234375}, {"start": 2479.96, "end": 2480.16, "word": " ال", "probability": 0.94775390625}, {"start": 2480.16, "end": 2480.6, "word": " X", "probability": 0.99609375}, {"start": 2480.6, "end": 2481.34, "word": " وهذا", "probability": 0.864501953125}, {"start": 2481.34, "end": 2481.78, "word": " كله", "probability": 0.98974609375}, {"start": 2481.78, "end": 2482.48, "word": " بالنسبة", "probability": 0.996337890625}, {"start": 2482.48, "end": 2482.74, "word": " إلى", "probability": 0.50634765625}, {"start": 2482.74, "end": 2483.16, "word": " DX", "probability": 0.86767578125}, {"start": 2483.16, "end": 2483.44, "word": " يعني", "probability": 0.942138671875}, {"start": 2483.44, "end": 2483.58, "word": " إيش", "probability": 0.8595377604166666}, {"start": 2483.58, "end": 2484.1, "word": " عملنا", "probability": 0.9915364583333334}, {"start": 2484.1, "end": 2485.2, "word": " فكنا", "probability": 0.6837565104166666}, {"start": 2485.2, "end": 2485.56, "word": " القوس", "probability": 0.750244140625}, {"start": 2485.56, "end": 2486.04, "word": " ضربنا", "probability": 0.97265625}, {"start": 2486.04, "end": 2486.46, "word": " السك", "probability": 0.890869140625}, {"start": 2486.46, "end": 2486.6, "word": " في", "probability": 0.53759765625}, {"start": 2486.6, "end": 2486.72, "word": " اللي", "probability": 0.946044921875}, {"start": 2486.72, "end": 2487.14, "word": " داخل", "probability": 0.9778645833333334}, {"start": 2487.14, "end": 2487.58, "word": " القوس", "probability": 0.975830078125}], "temperature": 1.0}, {"id": 105, "seek": 250609, "start": 2488.01, "end": 2506.09, "text": "طب هذا الآن صار له فائد، المقام خلته زي ما هو، قداش مشتقة سك ال X؟ سكتان هيها، زائد و هنا زائد، قداش تفضل التان؟ سك تربية، يبقى سعر البصد هو مشتقة مين؟ يبقى الجواب لإن المقام", "tokens": [9566, 3555, 23758, 6024, 48506, 20328, 9640, 46740, 6156, 16373, 3215, 12399, 9673, 4587, 10943, 16490, 1211, 47395, 30767, 1829, 19446, 31439, 12399, 12174, 3215, 33599, 37893, 2655, 28671, 8608, 4117, 2423, 1783, 22807, 8608, 4117, 2655, 7649, 39896, 11296, 12399, 30767, 16373, 3215, 4032, 34105, 30767, 16373, 3215, 12399, 12174, 3215, 33599, 6055, 5172, 11242, 1211, 16712, 7649, 22807, 8608, 4117, 6055, 25513, 10632, 12399, 7251, 3555, 4587, 7578, 8608, 3615, 2288, 29739, 9381, 3215, 31439, 37893, 2655, 28671, 3714, 9957, 22807, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 5296, 28814, 1863, 9673, 4587, 10943], "avg_logprob": -0.22970361316326968, "compression_ratio": 1.747191011235955, "no_speech_prob": 0.0, "words": [{"start": 2488.01, "end": 2488.31, "word": "طب", "probability": 0.6314697265625}, {"start": 2488.31, "end": 2488.59, "word": " هذا", "probability": 0.6298828125}, {"start": 2488.59, "end": 2488.93, "word": " الآن", "probability": 0.58953857421875}, {"start": 2488.93, "end": 2489.31, "word": " صار", "probability": 0.9462890625}, {"start": 2489.31, "end": 2489.47, "word": " له", "probability": 0.55224609375}, {"start": 2489.47, "end": 2490.03, "word": " فائد،", "probability": 0.743927001953125}, {"start": 2490.03, "end": 2490.71, "word": " المقام", "probability": 0.96923828125}, {"start": 2490.71, "end": 2491.19, "word": " خلته", "probability": 0.7062174479166666}, {"start": 2491.19, "end": 2491.41, "word": " زي", "probability": 0.965087890625}, {"start": 2491.41, "end": 2491.51, "word": " ما", "probability": 0.798828125}, {"start": 2491.51, "end": 2491.97, "word": " هو،", "probability": 0.673828125}, {"start": 2491.97, "end": 2492.47, "word": " قداش", "probability": 0.7386881510416666}, {"start": 2492.47, "end": 2493.09, "word": " مشتقة", "probability": 0.8260091145833334}, {"start": 2493.09, "end": 2493.49, "word": " سك", "probability": 0.89306640625}, {"start": 2493.49, "end": 2493.69, "word": " ال", "probability": 0.6650390625}, {"start": 2493.69, "end": 2494.19, "word": " X؟", "probability": 0.707275390625}, {"start": 2494.19, "end": 2495.69, "word": " سكتان", "probability": 0.919677734375}, {"start": 2495.69, "end": 2497.15, "word": " هيها،", "probability": 0.56494140625}, {"start": 2497.15, "end": 2497.87, "word": " زائد", "probability": 0.8098958333333334}, {"start": 2497.87, "end": 2498.01, "word": " و", "probability": 0.70947265625}, {"start": 2498.01, "end": 2498.23, "word": " هنا", "probability": 0.9609375}, {"start": 2498.23, "end": 2498.67, "word": " زائد،", "probability": 0.9229736328125}, {"start": 2498.67, "end": 2498.85, "word": " قداش", "probability": 0.9475911458333334}, {"start": 2498.85, "end": 2499.25, "word": " تفضل", "probability": 0.801025390625}, {"start": 2499.25, "end": 2499.79, "word": " التان؟", "probability": 0.77001953125}, {"start": 2499.79, "end": 2500.73, "word": " سك", "probability": 0.95849609375}, {"start": 2500.73, "end": 2501.29, "word": " تربية،", "probability": 0.72821044921875}, {"start": 2501.29, "end": 2501.55, "word": " يبقى", "probability": 0.939697265625}, {"start": 2501.55, "end": 2502.07, "word": " سعر", "probability": 0.8377278645833334}, {"start": 2502.07, "end": 2502.73, "word": " البصد", "probability": 0.7825520833333334}, {"start": 2502.73, "end": 2502.91, "word": " هو", "probability": 0.9716796875}, {"start": 2502.91, "end": 2503.49, "word": " مشتقة", "probability": 0.9542643229166666}, {"start": 2503.49, "end": 2504.65, "word": " مين؟", "probability": 0.8621419270833334}, {"start": 2504.65, "end": 2504.99, "word": " يبقى", "probability": 0.9896240234375}, {"start": 2504.99, "end": 2505.37, "word": " الجواب", "probability": 0.95751953125}, {"start": 2505.37, "end": 2505.59, "word": " لإن", "probability": 0.76513671875}, {"start": 2505.59, "end": 2506.09, "word": " المقام", "probability": 0.9869791666666666}], "temperature": 1.0}, {"id": 106, "seek": 253608, "start": 2507.18, "end": 2536.08, "text": "يبقى هذه اللي اعملها لها فايدة كبيرة جدا يبقى لين absolute value لسك ال X زائد تاني ال X زائد constant C يبقى من الآن فصاعدا تكامل لسك ال X DX هو لين سك ال X زائد تاني ال X زائد constant C طب النقطة الرابعة والاخيرة تكامل لكوسيكنت ال X DX", "tokens": [1829, 3555, 4587, 7578, 29538, 13672, 1829, 1975, 25957, 1211, 11296, 5296, 11296, 6156, 995, 25708, 3660, 9122, 3555, 48923, 10874, 28259, 7251, 3555, 4587, 7578, 5296, 9957, 8236, 2158, 5296, 3794, 4117, 2423, 1783, 30767, 16373, 3215, 6055, 7649, 1829, 2423, 1783, 30767, 16373, 3215, 5754, 383, 7251, 3555, 4587, 7578, 9154, 6024, 48506, 6156, 9381, 995, 22488, 995, 6055, 4117, 10943, 1211, 5296, 3794, 4117, 2423, 1783, 48817, 31439, 5296, 9957, 8608, 4117, 2423, 1783, 30767, 16373, 3215, 6055, 7649, 1829, 2423, 1783, 30767, 16373, 3215, 5754, 383, 23032, 3555, 28239, 47432, 3660, 34892, 16758, 27884, 16070, 47283, 48923, 6055, 4117, 10943, 1211, 5296, 4117, 41779, 1829, 4117, 29399, 2423, 1783, 48817], "avg_logprob": -0.18777173187421717, "compression_ratio": 1.9393939393939394, "no_speech_prob": 0.0, "words": [{"start": 2507.18, "end": 2507.58, "word": "يبقى", "probability": 0.74859619140625}, {"start": 2507.58, "end": 2507.78, "word": " هذه", "probability": 0.25048828125}, {"start": 2507.78, "end": 2507.88, "word": " اللي", "probability": 0.732666015625}, {"start": 2507.88, "end": 2508.48, "word": " اعملها", "probability": 0.76922607421875}, {"start": 2508.48, "end": 2509.14, "word": " لها", "probability": 0.7369384765625}, {"start": 2509.14, "end": 2509.66, "word": " فايدة", "probability": 0.8734130859375}, {"start": 2509.66, "end": 2510.06, "word": " كبيرة", "probability": 0.9855143229166666}, {"start": 2510.06, "end": 2510.56, "word": " جدا", "probability": 0.97119140625}, {"start": 2510.56, "end": 2511.54, "word": " يبقى", "probability": 0.9359130859375}, {"start": 2511.54, "end": 2511.86, "word": " لين", "probability": 0.32012939453125}, {"start": 2511.86, "end": 2512.46, "word": " absolute", "probability": 0.6884765625}, {"start": 2512.46, "end": 2513.14, "word": " value", "probability": 0.9892578125}, {"start": 2513.14, "end": 2513.72, "word": " لسك", "probability": 0.8707682291666666}, {"start": 2513.72, "end": 2513.94, "word": " ال", "probability": 0.67333984375}, {"start": 2513.94, "end": 2514.32, "word": " X", "probability": 0.65283203125}, {"start": 2514.32, "end": 2515.48, "word": " زائد", "probability": 0.8859049479166666}, {"start": 2515.48, "end": 2515.96, "word": " تاني", "probability": 0.8089192708333334}, {"start": 2515.96, "end": 2516.1, "word": " ال", "probability": 0.693359375}, {"start": 2516.1, "end": 2516.5, "word": " X", "probability": 0.98095703125}, {"start": 2516.5, "end": 2517.36, "word": " زائد", "probability": 0.9606119791666666}, {"start": 2517.36, "end": 2517.94, "word": " constant", "probability": 0.87890625}, {"start": 2517.94, "end": 2518.6, "word": " C", "probability": 0.9033203125}, {"start": 2518.6, "end": 2519.42, "word": " يبقى", "probability": 0.9566650390625}, {"start": 2519.42, "end": 2519.56, "word": " من", "probability": 0.93603515625}, {"start": 2519.56, "end": 2520.02, "word": " الآن", "probability": 0.665771484375}, {"start": 2520.02, "end": 2521.16, "word": " فصاعدا", "probability": 0.91982421875}, {"start": 2521.16, "end": 2522.14, "word": " تكامل", "probability": 0.966796875}, {"start": 2522.14, "end": 2522.58, "word": " لسك", "probability": 0.93310546875}, {"start": 2522.58, "end": 2522.78, "word": " ال", "probability": 0.87109375}, {"start": 2522.78, "end": 2523.0, "word": " X", "probability": 0.93017578125}, {"start": 2523.0, "end": 2523.38, "word": " DX", "probability": 0.8681640625}, {"start": 2523.38, "end": 2524.12, "word": " هو", "probability": 0.97216796875}, {"start": 2524.12, "end": 2524.62, "word": " لين", "probability": 0.80029296875}, {"start": 2524.62, "end": 2524.92, "word": " سك", "probability": 0.91943359375}, {"start": 2524.92, "end": 2525.14, "word": " ال", "probability": 0.86279296875}, {"start": 2525.14, "end": 2525.42, "word": " X", "probability": 0.9931640625}, {"start": 2525.42, "end": 2525.86, "word": " زائد", "probability": 0.95703125}, {"start": 2525.86, "end": 2526.18, "word": " تاني", "probability": 0.9903971354166666}, {"start": 2526.18, "end": 2526.3, "word": " ال", "probability": 0.89111328125}, {"start": 2526.3, "end": 2526.56, "word": " X", "probability": 0.99560546875}, {"start": 2526.56, "end": 2527.32, "word": " زائد", "probability": 0.9737955729166666}, {"start": 2527.32, "end": 2527.96, "word": " constant", "probability": 0.9482421875}, {"start": 2527.96, "end": 2528.72, "word": " C", "probability": 0.98876953125}, {"start": 2528.72, "end": 2529.34, "word": " طب", "probability": 0.727294921875}, {"start": 2529.34, "end": 2529.98, "word": " النقطة", "probability": 0.9562174479166666}, {"start": 2529.98, "end": 2530.84, "word": " الرابعة", "probability": 0.9765625}, {"start": 2530.84, "end": 2531.9, "word": " والاخيرة", "probability": 0.88916015625}, {"start": 2531.9, "end": 2532.92, "word": " تكامل", "probability": 0.9840087890625}, {"start": 2532.92, "end": 2534.4, "word": " لكوسيكنت", "probability": 0.5965576171875}, {"start": 2534.4, "end": 2534.64, "word": " ال", "probability": 0.84033203125}, {"start": 2534.64, "end": 2535.06, "word": " X", "probability": 0.97216796875}, {"start": 2535.06, "end": 2536.08, "word": " DX", "probability": 0.978515625}], "temperature": 1.0}, {"id": 107, "seek": 255966, "start": 2537.04, "end": 2559.66, "text": "يساوي لن absolute value لكوسيكنت ال X ناقص كوتان ال X زائد constant C مطلوب انك تعملها اه اه يا سيدي تشيك بدك تشيك عليها صح ولا لا يعني ايش عملنا", "tokens": [1829, 3794, 995, 45865, 5296, 1863, 8236, 2158, 5296, 4117, 41779, 1829, 4117, 29399, 2423, 1783, 8717, 995, 4587, 9381, 9122, 35473, 7649, 2423, 1783, 30767, 16373, 3215, 5754, 383, 3714, 9566, 1211, 37746, 16472, 4117, 6055, 25957, 1211, 11296, 1975, 3224, 1975, 3224, 35186, 8608, 1829, 16254, 6055, 8592, 1829, 4117, 47525, 4117, 6055, 8592, 1829, 4117, 25894, 11296, 20328, 5016, 49429, 20193, 37495, 22653, 1975, 1829, 8592, 6225, 42213, 8315], "avg_logprob": -0.28339041749092, "compression_ratio": 1.4658385093167703, "no_speech_prob": 0.0, "words": [{"start": 2537.04, "end": 2538.2, "word": "يساوي", "probability": 0.657379150390625}, {"start": 2538.2, "end": 2539.66, "word": " لن", "probability": 0.418212890625}, {"start": 2539.66, "end": 2540.38, "word": " absolute", "probability": 0.82666015625}, {"start": 2540.38, "end": 2541.32, "word": " value", "probability": 0.98974609375}, {"start": 2541.32, "end": 2542.6, "word": " لكوسيكنت", "probability": 0.6016642252604166}, {"start": 2542.6, "end": 2542.86, "word": " ال", "probability": 0.63525390625}, {"start": 2542.86, "end": 2543.26, "word": " X", "probability": 0.71826171875}, {"start": 2543.26, "end": 2544.48, "word": " ناقص", "probability": 0.8516845703125}, {"start": 2544.48, "end": 2545.26, "word": " كوتان", "probability": 0.8206380208333334}, {"start": 2545.26, "end": 2545.5, "word": " ال", "probability": 0.86767578125}, {"start": 2545.5, "end": 2546.0, "word": " X", "probability": 0.98974609375}, {"start": 2546.0, "end": 2547.2, "word": " زائد", "probability": 0.8505859375}, {"start": 2547.2, "end": 2548.0, "word": " constant", "probability": 0.57470703125}, {"start": 2548.0, "end": 2549.02, "word": " C", "probability": 0.8623046875}, {"start": 2549.02, "end": 2550.44, "word": " مطلوب", "probability": 0.83441162109375}, {"start": 2550.44, "end": 2550.76, "word": " انك", "probability": 0.727294921875}, {"start": 2550.76, "end": 2551.64, "word": " تعملها", "probability": 0.9718017578125}, {"start": 2551.64, "end": 2552.82, "word": " اه", "probability": 0.733642578125}, {"start": 2552.82, "end": 2553.82, "word": " اه", "probability": 0.583740234375}, {"start": 2553.82, "end": 2554.02, "word": " يا", "probability": 0.90771484375}, {"start": 2554.02, "end": 2554.46, "word": " سيدي", "probability": 0.6480305989583334}, {"start": 2554.46, "end": 2555.32, "word": " تشيك", "probability": 0.828369140625}, {"start": 2555.32, "end": 2556.02, "word": " بدك", "probability": 0.59063720703125}, {"start": 2556.02, "end": 2556.74, "word": " تشيك", "probability": 0.9912109375}, {"start": 2556.74, "end": 2557.26, "word": " عليها", "probability": 0.953857421875}, {"start": 2557.26, "end": 2557.58, "word": " صح", "probability": 0.968017578125}, {"start": 2557.58, "end": 2557.82, "word": " ولا", "probability": 0.8984375}, {"start": 2557.82, "end": 2558.02, "word": " لا", "probability": 0.63623046875}, {"start": 2558.02, "end": 2558.58, "word": " يعني", "probability": 0.92333984375}, {"start": 2558.58, "end": 2558.86, "word": " ايش", "probability": 0.9319661458333334}, {"start": 2558.86, "end": 2559.66, "word": " عملنا", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 108, "seek": 257821, "start": 2561.32, "end": 2578.22, "text": "ماذا فعلنا هنا؟ بقررت في كثيكان ناقص كتان وقسمت على كثيكان ناقص كتان، فصار البصد هو مشتقت من المقام. واحد قال لي لا، انا عندي جامع مرهادي", "tokens": [2304, 45636, 995, 6156, 30241, 8315, 34105, 22807, 4724, 4587, 2288, 43500, 8978, 9122, 12984, 1829, 41361, 8717, 995, 4587, 9381, 9122, 2655, 7649, 4032, 4587, 38251, 2655, 15844, 9122, 12984, 1829, 41361, 8717, 995, 4587, 9381, 9122, 2655, 7649, 12399, 6156, 9381, 9640, 29739, 9381, 3215, 31439, 37893, 2655, 38149, 9154, 9673, 4587, 10943, 13, 36764, 24401, 50239, 32239, 20193, 12399, 1975, 8315, 18871, 16254, 10874, 10943, 3615, 3714, 2288, 11296, 16254], "avg_logprob": -0.32580235681018316, "compression_ratio": 1.703448275862069, "no_speech_prob": 0.0, "words": [{"start": 2561.32, "end": 2561.72, "word": "ماذا", "probability": 0.670166015625}, {"start": 2561.72, "end": 2562.22, "word": " فعلنا", "probability": 0.8815104166666666}, {"start": 2562.22, "end": 2563.0, "word": " هنا؟", "probability": 0.736572265625}, {"start": 2563.0, "end": 2564.36, "word": " بقررت", "probability": 0.4295654296875}, {"start": 2564.36, "end": 2564.64, "word": " في", "probability": 0.7998046875}, {"start": 2564.64, "end": 2565.54, "word": " كثيكان", "probability": 0.41705322265625}, {"start": 2565.54, "end": 2566.42, "word": " ناقص", "probability": 0.863525390625}, {"start": 2566.42, "end": 2567.08, "word": " كتان", "probability": 0.9775390625}, {"start": 2567.08, "end": 2568.76, "word": " وقسمت", "probability": 0.78173828125}, {"start": 2568.76, "end": 2568.98, "word": " على", "probability": 0.87109375}, {"start": 2568.98, "end": 2569.7, "word": " كثيكان", "probability": 0.9781494140625}, {"start": 2569.7, "end": 2570.3, "word": " ناقص", "probability": 0.994140625}, {"start": 2570.3, "end": 2571.18, "word": " كتان،", "probability": 0.8194580078125}, {"start": 2571.18, "end": 2571.6, "word": " فصار", "probability": 0.8541666666666666}, {"start": 2571.6, "end": 2572.04, "word": " البصد", "probability": 0.693359375}, {"start": 2572.04, "end": 2572.22, "word": " هو", "probability": 0.8671875}, {"start": 2572.22, "end": 2572.8, "word": " مشتقت", "probability": 0.8230794270833334}, {"start": 2572.8, "end": 2573.18, "word": " من", "probability": 0.9853515625}, {"start": 2573.18, "end": 2574.78, "word": " المقام.", "probability": 0.86865234375}, {"start": 2575.16, "end": 2575.66, "word": " واحد", "probability": 0.8310546875}, {"start": 2575.66, "end": 2575.9, "word": " قال", "probability": 0.97119140625}, {"start": 2575.9, "end": 2576.06, "word": " لي", "probability": 0.6708984375}, {"start": 2576.06, "end": 2576.82, "word": " لا،", "probability": 0.643310546875}, {"start": 2576.82, "end": 2577.16, "word": " انا", "probability": 0.6754150390625}, {"start": 2577.16, "end": 2577.42, "word": " عندي", "probability": 0.87646484375}, {"start": 2577.42, "end": 2577.74, "word": " جامع", "probability": 0.7029622395833334}, {"start": 2577.74, "end": 2578.22, "word": " مرهادي", "probability": 0.712158203125}], "temperature": 1.0}, {"id": 109, "seek": 260101, "start": 2578.51, "end": 2601.01, "text": "قلت له ايش؟ قال بدل ما تضرب في cosecant اضرب في cosecant زائد كتان و اجسم على cosecant زائد كتان قلت له برضه كلامك صح بس مش مدى يطلع عنها شر السالب جاب للن يعني صورة أخرى لهذه الإجابة وهي سالب لن absolute value of cosecant X", "tokens": [4587, 1211, 2655, 46740, 1975, 1829, 8592, 22807, 50239, 47525, 1211, 19446, 6055, 11242, 25513, 8978, 30261, 66, 394, 1975, 11242, 25513, 8978, 30261, 66, 394, 30767, 16373, 3215, 9122, 2655, 7649, 4032, 1975, 7435, 38251, 15844, 30261, 66, 394, 30767, 16373, 3215, 9122, 2655, 7649, 12174, 1211, 2655, 46740, 4724, 43042, 3224, 28242, 10943, 4117, 20328, 5016, 4724, 3794, 37893, 3714, 3215, 7578, 7251, 9566, 1211, 3615, 18871, 11296, 13412, 2288, 21136, 6027, 3555, 10874, 16758, 24976, 1863, 37495, 22653, 20328, 13063, 3660, 5551, 34740, 7578, 46740, 24192, 33688, 7435, 16758, 3660, 37037, 1829, 8608, 6027, 3555, 5296, 1863, 8236, 2158, 295, 30261, 66, 394, 1783], "avg_logprob": -0.27575230764018166, "compression_ratio": 1.669811320754717, "no_speech_prob": 0.0, "words": [{"start": 2578.51, "end": 2578.91, "word": "قلت", "probability": 0.5358072916666666}, {"start": 2578.91, "end": 2579.09, "word": " له", "probability": 0.75634765625}, {"start": 2579.09, "end": 2579.75, "word": " ايش؟", "probability": 0.59283447265625}, {"start": 2579.75, "end": 2580.03, "word": " قال", "probability": 0.78173828125}, {"start": 2580.03, "end": 2580.49, "word": " بدل", "probability": 0.96923828125}, {"start": 2580.49, "end": 2580.61, "word": " ما", "probability": 0.6337890625}, {"start": 2580.61, "end": 2581.05, "word": " تضرب", "probability": 0.9656575520833334}, {"start": 2581.05, "end": 2581.25, "word": " في", "probability": 0.9501953125}, {"start": 2581.25, "end": 2581.87, "word": " cosecant", "probability": 0.7107340494791666}, {"start": 2581.87, "end": 2582.57, "word": " اضرب", "probability": 0.6983846028645834}, {"start": 2582.57, "end": 2582.81, "word": " في", "probability": 0.91357421875}, {"start": 2582.81, "end": 2583.81, "word": " cosecant", "probability": 0.8994140625}, {"start": 2583.81, "end": 2584.51, "word": " زائد", "probability": 0.8142903645833334}, {"start": 2584.51, "end": 2585.17, "word": " كتان", "probability": 0.82177734375}, {"start": 2585.17, "end": 2585.65, "word": " و", "probability": 0.79345703125}, {"start": 2585.65, "end": 2586.01, "word": " اجسم", "probability": 0.6776529947916666}, {"start": 2586.01, "end": 2586.23, "word": " على", "probability": 0.7998046875}, {"start": 2586.23, "end": 2586.91, "word": " cosecant", "probability": 0.9501953125}, {"start": 2586.91, "end": 2587.25, "word": " زائد", "probability": 0.900390625}, {"start": 2587.25, "end": 2587.57, "word": " كتان", "probability": 0.986328125}, {"start": 2587.57, "end": 2587.81, "word": " قلت", "probability": 0.7586263020833334}, {"start": 2587.81, "end": 2587.91, "word": " له", "probability": 0.82568359375}, {"start": 2587.91, "end": 2588.23, "word": " برضه", "probability": 0.93505859375}, {"start": 2588.23, "end": 2588.79, "word": " كلامك", "probability": 0.900390625}, {"start": 2588.79, "end": 2589.07, "word": " صح", "probability": 0.99755859375}, {"start": 2589.07, "end": 2589.55, "word": " بس", "probability": 0.80517578125}, {"start": 2589.55, "end": 2589.65, "word": " مش", "probability": 0.7578125}, {"start": 2589.65, "end": 2589.85, "word": " مدى", "probability": 0.4336344401041667}, {"start": 2589.85, "end": 2590.17, "word": " يطلع", "probability": 0.97900390625}, {"start": 2590.17, "end": 2590.61, "word": " عنها", "probability": 0.5054931640625}, {"start": 2590.61, "end": 2591.33, "word": " شر", "probability": 0.497314453125}, {"start": 2591.33, "end": 2591.93, "word": " السالب", "probability": 0.8313802083333334}, {"start": 2591.93, "end": 2592.25, "word": " جاب", "probability": 0.762451171875}, {"start": 2592.25, "end": 2592.95, "word": " للن", "probability": 0.596923828125}, {"start": 2592.95, "end": 2593.71, "word": " يعني", "probability": 0.8701171875}, {"start": 2593.71, "end": 2594.51, "word": " صورة", "probability": 0.9739583333333334}, {"start": 2594.51, "end": 2595.11, "word": " أخرى", "probability": 0.8702799479166666}, {"start": 2595.11, "end": 2595.69, "word": " لهذه", "probability": 0.898193359375}, {"start": 2595.69, "end": 2596.81, "word": " الإجابة", "probability": 0.97705078125}, {"start": 2596.81, "end": 2597.39, "word": " وهي", "probability": 0.90234375}, {"start": 2597.39, "end": 2598.13, "word": " سالب", "probability": 0.9596354166666666}, {"start": 2598.13, "end": 2598.59, "word": " لن", "probability": 0.5615234375}, {"start": 2598.59, "end": 2599.43, "word": " absolute", "probability": 0.8974609375}, {"start": 2599.43, "end": 2599.93, "word": " value", "probability": 0.955078125}, {"start": 2599.93, "end": 2600.09, "word": " of", "probability": 0.576171875}, {"start": 2600.09, "end": 2600.69, "word": " cosecant", "probability": 0.9596354166666666}, {"start": 2600.69, "end": 2601.01, "word": " X", "probability": 0.443603515625}], "temperature": 1.0}, {"id": 110, "seek": 261992, "start": 2601.53, "end": 2619.93, "text": "زائد كتان ال X زائد constant C يبقى اتنين هدول صح نفس الإجابة لكن انا لأ فضل التانية مشان بس إشارة السالب زي مفروض مافضلناش سالب لين كوصين و كتبناها لين سيك", "tokens": [11622, 16373, 3215, 9122, 2655, 7649, 2423, 1783, 30767, 16373, 3215, 5754, 383, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 8032, 3215, 12610, 20328, 5016, 8717, 36178, 33688, 7435, 16758, 3660, 44381, 1975, 8315, 5296, 10721, 6156, 11242, 1211, 16712, 7649, 10632, 37893, 7649, 4724, 3794, 11933, 8592, 9640, 3660, 21136, 6027, 3555, 30767, 1829, 3714, 5172, 32887, 11242, 19446, 5172, 11242, 1211, 1863, 33599, 8608, 6027, 3555, 5296, 9957, 9122, 2407, 9381, 9957, 4032, 9122, 2655, 3555, 8315, 11296, 5296, 9957, 8608, 1829, 4117], "avg_logprob": -0.24191809728227812, "compression_ratio": 1.5941176470588236, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2601.53, "end": 2602.51, "word": "زائد", "probability": 0.576416015625}, {"start": 2602.51, "end": 2603.33, "word": " كتان", "probability": 0.8772786458333334}, {"start": 2603.33, "end": 2603.51, "word": " ال", "probability": 0.82666015625}, {"start": 2603.51, "end": 2603.89, "word": " X", "probability": 0.4501953125}, {"start": 2603.89, "end": 2604.95, "word": " زائد", "probability": 0.92138671875}, {"start": 2604.95, "end": 2605.57, "word": " constant", "probability": 0.2037353515625}, {"start": 2605.57, "end": 2606.17, "word": " C", "probability": 0.833984375}, {"start": 2606.17, "end": 2606.87, "word": " يبقى", "probability": 0.931640625}, {"start": 2606.87, "end": 2607.37, "word": " اتنين", "probability": 0.9251708984375}, {"start": 2607.37, "end": 2608.05, "word": " هدول", "probability": 0.7609049479166666}, {"start": 2608.05, "end": 2608.63, "word": " صح", "probability": 0.97119140625}, {"start": 2608.63, "end": 2609.17, "word": " نفس", "probability": 0.9482421875}, {"start": 2609.17, "end": 2609.87, "word": " الإجابة", "probability": 0.85638427734375}, {"start": 2609.87, "end": 2610.43, "word": " لكن", "probability": 0.751953125}, {"start": 2610.43, "end": 2610.77, "word": " انا", "probability": 0.810791015625}, {"start": 2610.77, "end": 2610.99, "word": " لأ", "probability": 0.76416015625}, {"start": 2610.99, "end": 2611.49, "word": " فضل", "probability": 0.8395182291666666}, {"start": 2611.49, "end": 2611.95, "word": " التانية", "probability": 0.9493815104166666}, {"start": 2611.95, "end": 2612.37, "word": " مشان", "probability": 0.6181640625}, {"start": 2612.37, "end": 2612.69, "word": " بس", "probability": 0.9755859375}, {"start": 2612.69, "end": 2613.33, "word": " إشارة", "probability": 0.8968505859375}, {"start": 2613.33, "end": 2614.31, "word": " السالب", "probability": 0.7981770833333334}, {"start": 2614.31, "end": 2614.71, "word": " زي", "probability": 0.9365234375}, {"start": 2614.71, "end": 2615.25, "word": " مفروض", "probability": 0.7413330078125}, {"start": 2615.25, "end": 2616.05, "word": " مافضلناش", "probability": 0.9051920572916666}, {"start": 2616.05, "end": 2616.49, "word": " سالب", "probability": 0.93994140625}, {"start": 2616.49, "end": 2616.77, "word": " لين", "probability": 0.469482421875}, {"start": 2616.77, "end": 2617.29, "word": " كوصين", "probability": 0.6474609375}, {"start": 2617.29, "end": 2617.71, "word": " و", "probability": 0.61962890625}, {"start": 2617.71, "end": 2618.49, "word": " كتبناها", "probability": 0.84873046875}, {"start": 2618.49, "end": 2619.37, "word": " لين", "probability": 0.902587890625}, {"start": 2619.37, "end": 2619.93, "word": " سيك", "probability": 0.6631673177083334}], "temperature": 1.0}, {"id": 111, "seek": 264251, "start": 2620.99, "end": 2642.51, "text": "طيب الله يعطيك العافية هيك اتفضلتنا كاملتنا النسب المثلثية كلها الآن الستة بنعرفها يبقى لا عذر لأحد بعد ذلك سواء اشتقاء النسب المثلثية أو تكامل النسب المثلثية", "tokens": [9566, 1829, 3555, 21984, 37495, 9566, 1829, 4117, 18863, 31845, 10632, 39896, 4117, 1975, 2655, 5172, 11242, 1211, 2655, 8315, 9122, 10943, 1211, 2655, 8315, 28239, 35457, 9673, 12984, 1211, 12984, 10632, 28242, 11296, 6024, 48506, 21136, 2655, 3660, 44945, 3615, 28480, 11296, 7251, 3555, 4587, 7578, 20193, 6225, 8848, 2288, 5296, 10721, 24401, 39182, 29910, 23275, 8608, 2407, 16606, 1975, 8592, 2655, 4587, 16606, 28239, 35457, 9673, 12984, 1211, 12984, 10632, 34051, 6055, 4117, 10943, 1211, 28239, 35457, 9673, 12984, 1211, 12984, 10632], "avg_logprob": -0.13327206583584056, "compression_ratio": 1.9594594594594594, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2620.99, "end": 2621.41, "word": "طيب", "probability": 0.8362630208333334}, {"start": 2621.41, "end": 2621.57, "word": " الله", "probability": 0.92333984375}, {"start": 2621.57, "end": 2621.91, "word": " يعطيك", "probability": 0.9461669921875}, {"start": 2621.91, "end": 2622.31, "word": " العافية", "probability": 0.9090169270833334}, {"start": 2622.31, "end": 2622.63, "word": " هيك", "probability": 0.86767578125}, {"start": 2622.63, "end": 2623.53, "word": " اتفضلتنا", "probability": 0.9107840401785714}, {"start": 2623.53, "end": 2624.91, "word": " كاملتنا", "probability": 0.80927734375}, {"start": 2624.91, "end": 2626.07, "word": " النسب", "probability": 0.9140625}, {"start": 2626.07, "end": 2627.63, "word": " المثلثية", "probability": 0.9685546875}, {"start": 2627.63, "end": 2628.73, "word": " كلها", "probability": 0.951416015625}, {"start": 2628.73, "end": 2629.21, "word": " الآن", "probability": 0.659912109375}, {"start": 2629.21, "end": 2629.87, "word": " الستة", "probability": 0.66259765625}, {"start": 2629.87, "end": 2630.73, "word": " بنعرفها", "probability": 0.802001953125}, {"start": 2630.73, "end": 2631.69, "word": " يبقى", "probability": 0.8824462890625}, {"start": 2631.69, "end": 2631.93, "word": " لا", "probability": 0.93603515625}, {"start": 2631.93, "end": 2632.53, "word": " عذر", "probability": 0.8570963541666666}, {"start": 2632.53, "end": 2633.37, "word": " لأحد", "probability": 0.9541015625}, {"start": 2633.37, "end": 2634.27, "word": " بعد", "probability": 0.95947265625}, {"start": 2634.27, "end": 2634.85, "word": " ذلك", "probability": 0.98681640625}, {"start": 2634.85, "end": 2635.45, "word": " سواء", "probability": 0.93603515625}, {"start": 2635.45, "end": 2636.29, "word": " اشتقاء", "probability": 0.84970703125}, {"start": 2636.29, "end": 2637.67, "word": " النسب", "probability": 0.94482421875}, {"start": 2637.67, "end": 2638.67, "word": " المثلثية", "probability": 0.99521484375}, {"start": 2638.67, "end": 2639.05, "word": " أو", "probability": 0.69091796875}, {"start": 2639.05, "end": 2639.95, "word": " تكامل", "probability": 0.9620361328125}, {"start": 2639.95, "end": 2640.79, "word": " النسب", "probability": 0.9375}, {"start": 2640.79, "end": 2642.51, "word": " المثلثية", "probability": 0.9935546875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2643.10425, "duration_after_vad": 2548.4528437499926}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/DV4dIOf0KUg_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/DV4dIOf0KUg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ac3813ac07d5c3eaa812da8e2ca0c4d89b0351f6
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/DV4dIOf0KUg_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2140, "start": 14.7, "end": 21.4, "text": "عودة على بدء المرة الماضية بدأنا في بداية ال alternating series", "tokens": [3615, 23328, 3660, 15844, 47525, 38207, 9673, 25720, 9673, 46958, 10632, 47525, 10721, 8315, 8978, 4724, 28259, 10632, 2423, 40062, 2638], "avg_logprob": -0.16867897388609973, "compression_ratio": 1.125, "no_speech_prob": 0.0, "words": [{"start": 14.699999999999998, "end": 15.94, "word": "عودة", "probability": 0.7371419270833334}, {"start": 15.94, "end": 16.16, "word": " على", "probability": 0.7939453125}, {"start": 16.16, "end": 16.76, "word": " بدء", "probability": 0.75244140625}, {"start": 16.76, "end": 17.48, "word": " المرة", "probability": 0.815185546875}, {"start": 17.48, "end": 18.1, "word": " الماضية", "probability": 0.9871419270833334}, {"start": 18.1, "end": 18.64, "word": " بدأنا", "probability": 0.83984375}, {"start": 18.64, "end": 18.88, "word": " في", "probability": 0.88232421875}, {"start": 18.88, "end": 19.62, "word": " بداية", "probability": 0.9246419270833334}, {"start": 19.62, "end": 19.86, "word": " ال", "probability": 0.919921875}, {"start": 19.86, "end": 20.5, "word": " alternating", "probability": 0.91357421875}, {"start": 20.5, "end": 21.4, "word": " series", "probability": 0.869140625}], "temperature": 1.0}, {"id": 2, "seek": 4756, "start": 21.94, "end": 47.56, "text": "عطينا تعريف لل alternating series وبدأنا في ال convergence لل alternating series و أعطينا نظرية على هذا الموضوع نذكر بما قلناه في المرة الماضية قلنا بنيجي على ال alternating series وباخد ال a1 و ال a2 و ال a3 بدون الإشارات طبعا إذا لجيت كل الحدود هذه positive", "tokens": [3615, 9566, 1829, 8315, 37279, 16572, 5172, 24976, 40062, 2638, 4032, 44510, 10721, 8315, 8978, 2423, 32181, 24976, 40062, 2638, 4032, 5551, 3615, 9566, 1829, 8315, 8717, 19913, 2288, 10632, 15844, 23758, 9673, 2407, 11242, 45367, 8717, 8848, 37983, 4724, 15042, 12174, 1211, 8315, 3224, 8978, 9673, 25720, 9673, 46958, 10632, 12174, 1211, 8315, 44945, 1829, 7435, 1829, 15844, 2423, 40062, 2638, 46599, 47283, 3215, 2423, 257, 16, 4032, 2423, 257, 17, 4032, 2423, 257, 18, 47525, 11536, 33688, 8592, 9640, 9307, 23032, 3555, 3615, 995, 11933, 15730, 5296, 7435, 36081, 28242, 21542, 3215, 23328, 29538, 3353], "avg_logprob": -0.1550542069028835, "compression_ratio": 1.7954545454545454, "no_speech_prob": 0.0, "words": [{"start": 21.94, "end": 22.52, "word": "عطينا", "probability": 0.79168701171875}, {"start": 22.52, "end": 23.02, "word": " تعريف", "probability": 0.98388671875}, {"start": 23.02, "end": 23.2, "word": " لل", "probability": 0.86279296875}, {"start": 23.2, "end": 23.76, "word": " alternating", "probability": 0.8642578125}, {"start": 23.76, "end": 24.56, "word": " series", "probability": 0.89208984375}, {"start": 24.56, "end": 25.8, "word": " وبدأنا", "probability": 0.843994140625}, {"start": 25.8, "end": 25.94, "word": " في", "probability": 0.6865234375}, {"start": 25.94, "end": 26.1, "word": " ال", "probability": 0.779296875}, {"start": 26.1, "end": 26.74, "word": " convergence", "probability": 0.94384765625}, {"start": 26.74, "end": 27.18, "word": " لل", "probability": 0.9150390625}, {"start": 27.18, "end": 28.12, "word": " alternating", "probability": 0.9814453125}, {"start": 28.12, "end": 28.92, "word": " series", "probability": 0.90673828125}, {"start": 28.92, "end": 29.1, "word": " و", "probability": 0.81201171875}, {"start": 29.1, "end": 29.7, "word": " أعطينا", "probability": 0.848486328125}, {"start": 29.7, "end": 30.28, "word": " نظرية", "probability": 0.9820556640625}, {"start": 30.28, "end": 30.62, "word": " على", "probability": 0.875}, {"start": 30.62, "end": 31.22, "word": " هذا", "probability": 0.94677734375}, {"start": 31.22, "end": 32.02, "word": " الموضوع", "probability": 0.9991455078125}, {"start": 32.02, "end": 33.14, "word": " نذكر", "probability": 0.916015625}, {"start": 33.14, "end": 33.42, "word": " بما", "probability": 0.9599609375}, {"start": 33.42, "end": 34.0, "word": " قلناه", "probability": 0.8775634765625}, {"start": 34.0, "end": 34.1, "word": " في", "probability": 0.853515625}, {"start": 34.1, "end": 34.58, "word": " المرة", "probability": 0.99169921875}, {"start": 34.58, "end": 35.52, "word": " الماضية", "probability": 0.9596354166666666}, {"start": 35.52, "end": 36.1, "word": " قلنا", "probability": 0.4360758463541667}, {"start": 36.1, "end": 36.42, "word": " بنيجي", "probability": 0.8724365234375}, {"start": 36.42, "end": 36.62, "word": " على", "probability": 0.88671875}, {"start": 36.62, "end": 36.78, "word": " ال", "probability": 0.9677734375}, {"start": 36.78, "end": 37.46, "word": " alternating", "probability": 0.98681640625}, {"start": 37.46, "end": 38.54, "word": " series", "probability": 0.90966796875}, {"start": 38.54, "end": 39.44, "word": " وباخد", "probability": 0.798828125}, {"start": 39.44, "end": 39.6, "word": " ال", "probability": 0.97802734375}, {"start": 39.6, "end": 40.02, "word": " a1", "probability": 0.74853515625}, {"start": 40.02, "end": 40.2, "word": " و", "probability": 0.580078125}, {"start": 40.2, "end": 40.3, "word": " ال", "probability": 0.806640625}, {"start": 40.3, "end": 40.72, "word": " a2", "probability": 0.9912109375}, {"start": 40.72, "end": 40.86, "word": " و", "probability": 0.98828125}, {"start": 40.86, "end": 40.96, "word": " ال", "probability": 0.9677734375}, {"start": 40.96, "end": 41.34, "word": " a3", "probability": 0.99658203125}, {"start": 41.34, "end": 41.86, "word": " بدون", "probability": 0.987060546875}, {"start": 41.86, "end": 43.3, "word": " الإشارات", "probability": 0.87890625}, {"start": 43.3, "end": 44.42, "word": " طبعا", "probability": 0.888427734375}, {"start": 44.42, "end": 44.86, "word": " إذا", "probability": 0.905517578125}, {"start": 44.86, "end": 45.28, "word": " لجيت", "probability": 0.71728515625}, {"start": 45.28, "end": 45.66, "word": " كل", "probability": 0.9912109375}, {"start": 45.66, "end": 46.4, "word": " الحدود", "probability": 0.9921875}, {"start": 46.4, "end": 46.78, "word": " هذه", "probability": 0.7744140625}, {"start": 46.78, "end": 47.56, "word": " positive", "probability": 0.94091796875}], "temperature": 1.0}, {"id": 3, "seek": 7622, "start": 48.8, "end": 76.22, "text": "أتنين لقيت الحدود هذه decreasing تلاتة لقيت limit الحد انه لما ال N بده يروح ل المال انها بده يساوي zero معناته تحققت الشروط التلاتة يبقى ال series او ال alternating series بقول عنها converge في هذه الحالة واطلناكم مثال بسيط عليها اللي كانت alternating harmonic series و أثبتنا", "tokens": [10721, 2655, 1863, 9957, 5296, 4587, 36081, 21542, 3215, 23328, 29538, 23223, 6055, 1211, 9307, 3660, 5296, 4587, 36081, 4948, 21542, 3215, 16472, 3224, 5296, 15042, 2423, 426, 47525, 3224, 7251, 32887, 5016, 5296, 9673, 6027, 16472, 11296, 47525, 3224, 7251, 3794, 995, 45865, 4018, 20449, 8315, 47395, 6055, 5016, 4587, 38149, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 2423, 2638, 1975, 2407, 2423, 40062, 2638, 4724, 39648, 18871, 11296, 41881, 8978, 29538, 21542, 6027, 3660, 4032, 41193, 1211, 8315, 24793, 50113, 6027, 4724, 3794, 1829, 9566, 25894, 11296, 13672, 1829, 25961, 2655, 40062, 32270, 2638, 4032, 5551, 12984, 3555, 2655, 8315], "avg_logprob": -0.19845210726016035, "compression_ratio": 1.7063492063492063, "no_speech_prob": 0.0, "words": [{"start": 48.8, "end": 49.58, "word": "أتنين", "probability": 0.655303955078125}, {"start": 49.58, "end": 50.28, "word": " لقيت", "probability": 0.69140625}, {"start": 50.28, "end": 50.94, "word": " الحدود", "probability": 0.9781901041666666}, {"start": 50.94, "end": 51.4, "word": " هذه", "probability": 0.57958984375}, {"start": 51.4, "end": 52.34, "word": " decreasing", "probability": 0.83544921875}, {"start": 52.34, "end": 54.3, "word": " تلاتة", "probability": 0.9150390625}, {"start": 54.3, "end": 54.78, "word": " لقيت", "probability": 0.970703125}, {"start": 54.78, "end": 55.14, "word": " limit", "probability": 0.7080078125}, {"start": 55.14, "end": 55.74, "word": " الحد", "probability": 0.686279296875}, {"start": 55.74, "end": 56.12, "word": " انه", "probability": 0.67822265625}, {"start": 56.12, "end": 56.52, "word": " لما", "probability": 0.755126953125}, {"start": 56.52, "end": 56.66, "word": " ال", "probability": 0.85400390625}, {"start": 56.66, "end": 56.84, "word": " N", "probability": 0.361083984375}, {"start": 56.84, "end": 57.14, "word": " بده", "probability": 0.5130615234375}, {"start": 57.14, "end": 57.38, "word": " يروح", "probability": 0.96435546875}, {"start": 57.38, "end": 57.5, "word": " ل", "probability": 0.89208984375}, {"start": 57.5, "end": 57.82, "word": " المال", "probability": 0.4010009765625}, {"start": 57.82, "end": 58.08, "word": " انها", "probability": 0.833251953125}, {"start": 58.08, "end": 58.42, "word": " بده", "probability": 0.9013671875}, {"start": 58.42, "end": 58.84, "word": " يساوي", "probability": 0.87548828125}, {"start": 58.84, "end": 59.26, "word": " zero", "probability": 0.364013671875}, {"start": 59.26, "end": 60.24, "word": " معناته", "probability": 0.9542643229166666}, {"start": 60.24, "end": 61.02, "word": " تحققت", "probability": 0.8194580078125}, {"start": 61.02, "end": 61.58, "word": " الشروط", "probability": 0.9514973958333334}, {"start": 61.58, "end": 62.34, "word": " التلاتة", "probability": 0.9605712890625}, {"start": 62.34, "end": 63.04, "word": " يبقى", "probability": 0.9681396484375}, {"start": 63.04, "end": 63.18, "word": " ال", "probability": 0.9111328125}, {"start": 63.18, "end": 63.58, "word": " series", "probability": 0.92431640625}, {"start": 63.58, "end": 63.88, "word": " او", "probability": 0.78466796875}, {"start": 63.88, "end": 64.06, "word": " ال", "probability": 0.96923828125}, {"start": 64.06, "end": 64.66, "word": " alternating", "probability": 0.978515625}, {"start": 64.66, "end": 65.34, "word": " series", "probability": 0.88671875}, {"start": 65.34, "end": 65.72, "word": " بقول", "probability": 0.920654296875}, {"start": 65.72, "end": 66.02, "word": " عنها", "probability": 0.9853515625}, {"start": 66.02, "end": 66.72, "word": " converge", "probability": 0.36865234375}, {"start": 66.72, "end": 66.98, "word": " في", "probability": 0.8408203125}, {"start": 66.98, "end": 67.46, "word": " هذه", "probability": 0.95458984375}, {"start": 67.46, "end": 68.78, "word": " الحالة", "probability": 0.9786783854166666}, {"start": 68.78, "end": 69.82, "word": " واطلناكم", "probability": 0.881640625}, {"start": 69.82, "end": 70.24, "word": " مثال", "probability": 0.978271484375}, {"start": 70.24, "end": 70.78, "word": " بسيط", "probability": 0.99560546875}, {"start": 70.78, "end": 71.44, "word": " عليها", "probability": 0.964111328125}, {"start": 71.44, "end": 72.08, "word": " اللي", "probability": 0.851318359375}, {"start": 72.08, "end": 72.6, "word": " كانت", "probability": 0.97314453125}, {"start": 72.6, "end": 73.56, "word": " alternating", "probability": 0.978515625}, {"start": 73.56, "end": 74.6, "word": " harmonic", "probability": 0.8603515625}, {"start": 74.6, "end": 75.2, "word": " series", "probability": 0.92333984375}, {"start": 75.2, "end": 75.4, "word": " و", "probability": 0.78173828125}, {"start": 75.4, "end": 76.22, "word": " أثبتنا", "probability": 0.91455078125}], "temperature": 1.0}, {"id": 4, "seek": 9649, "start": 89.07, "end": 96.49, "text": "التعريف الأول if the series of absolute values summation على a n", "tokens": [6027, 2655, 3615, 16572, 5172, 16247, 12610, 498, 264, 2638, 295, 8236, 4190, 28811, 15844, 257, 297], "avg_logprob": -0.519965281089147, "compression_ratio": 0.9294117647058824, "no_speech_prob": 0.0, "words": [{"start": 89.07, "end": 90.09, "word": "التعريف", "probability": 0.6305419921875}, {"start": 90.09, "end": 91.11, "word": " الأول", "probability": 0.8095703125}, {"start": 91.11, "end": 91.51, "word": " if", "probability": 0.6220703125}, {"start": 91.51, "end": 91.77, "word": " the", "probability": 0.78564453125}, {"start": 91.77, "end": 92.03, "word": " series", "probability": 0.94287109375}, {"start": 92.03, "end": 92.19, "word": " of", "probability": 0.91796875}, {"start": 92.19, "end": 92.69, "word": " absolute", "probability": 0.9267578125}, {"start": 92.69, "end": 93.65, "word": " values", "probability": 0.919921875}, {"start": 93.65, "end": 94.51, "word": " summation", "probability": 0.47314453125}, {"start": 94.51, "end": 95.59, "word": " على", "probability": 0.578125}, {"start": 95.59, "end": 96.11, "word": " a", "probability": 0.491943359375}, {"start": 96.11, "end": 96.49, "word": " n", "probability": 0.453369140625}], "temperature": 1.0}, {"id": 5, "seek": 12875, "start": 103.39, "end": 128.75, "text": "لأن سالب واحد أُس N زي واحد لما أخده ال absolute value أو سالب واحد أُس N لما أخده ال absolute value النتج جداش يعني كتابته بصير كلك عزيزي، بيضل بس ال absolute value لمن؟ لل A N لو كانت ال series of absolute values converge بروح بقول ال series الأصلية هذه converge absolutely", "tokens": [1211, 33456, 8608, 6027, 3555, 36764, 24401, 5551, 10859, 3794, 426, 30767, 1829, 36764, 24401, 5296, 15042, 5551, 9778, 3215, 3224, 2423, 8236, 2158, 34051, 8608, 6027, 3555, 36764, 24401, 5551, 10859, 3794, 426, 5296, 15042, 5551, 9778, 3215, 3224, 2423, 8236, 2158, 28239, 2655, 7435, 10874, 3215, 33599, 37495, 22653, 9122, 2655, 16758, 47395, 4724, 9381, 13546, 28242, 4117, 6225, 11622, 1829, 11622, 1829, 12399, 4724, 1829, 11242, 1211, 4724, 3794, 2423, 8236, 2158, 5296, 27842, 22807, 24976, 316, 426, 45164, 25961, 2655, 2423, 2638, 295, 8236, 4190, 41881, 4724, 32887, 5016, 4724, 39648, 2423, 2638, 16247, 36520, 10632, 29538, 41881, 3122], "avg_logprob": -0.2853064943964665, "compression_ratio": 1.8433179723502304, "no_speech_prob": 0.0, "words": [{"start": 103.39, "end": 103.77, "word": "لأن", "probability": 0.5997314453125}, {"start": 103.77, "end": 104.31, "word": " سالب", "probability": 0.68603515625}, {"start": 104.31, "end": 104.71, "word": " واحد", "probability": 0.865234375}, {"start": 104.71, "end": 105.07, "word": " أُس", "probability": 0.5539143880208334}, {"start": 105.07, "end": 105.29, "word": " N", "probability": 0.47705078125}, {"start": 105.29, "end": 105.55, "word": " زي", "probability": 0.833740234375}, {"start": 105.55, "end": 105.83, "word": " واحد", "probability": 0.8447265625}, {"start": 105.83, "end": 106.09, "word": " لما", "probability": 0.734619140625}, {"start": 106.09, "end": 106.47, "word": " أخده", "probability": 0.56719970703125}, {"start": 106.47, "end": 106.57, "word": " ال", "probability": 0.77099609375}, {"start": 106.57, "end": 106.93, "word": " absolute", "probability": 0.8037109375}, {"start": 106.93, "end": 107.49, "word": " value", "probability": 0.982421875}, {"start": 107.49, "end": 107.85, "word": " أو", "probability": 0.61376953125}, {"start": 107.85, "end": 108.35, "word": " سالب", "probability": 0.9039713541666666}, {"start": 108.35, "end": 108.73, "word": " واحد", "probability": 0.987060546875}, {"start": 108.73, "end": 109.15, "word": " أُس", "probability": 0.96533203125}, {"start": 109.15, "end": 109.47, "word": " N", "probability": 0.96240234375}, {"start": 109.47, "end": 110.13, "word": " لما", "probability": 0.97607421875}, {"start": 110.13, "end": 110.49, "word": " أخده", "probability": 0.9505615234375}, {"start": 110.49, "end": 110.55, "word": " ال", "probability": 0.93359375}, {"start": 110.55, "end": 110.89, "word": " absolute", "probability": 0.94873046875}, {"start": 110.89, "end": 111.25, "word": " value", "probability": 0.99169921875}, {"start": 111.25, "end": 111.63, "word": " النتج", "probability": 0.730224609375}, {"start": 111.63, "end": 112.27, "word": " جداش", "probability": 0.5980631510416666}, {"start": 112.27, "end": 113.29, "word": " يعني", "probability": 0.82421875}, {"start": 113.29, "end": 113.85, "word": " كتابته", "probability": 0.9197998046875}, {"start": 113.85, "end": 114.21, "word": " بصير", "probability": 0.8562825520833334}, {"start": 114.21, "end": 114.59, "word": " كلك", "probability": 0.5714111328125}, {"start": 114.59, "end": 115.01, "word": " عزيزي،", "probability": 0.752197265625}, {"start": 115.01, "end": 115.51, "word": " بيضل", "probability": 0.57684326171875}, {"start": 115.51, "end": 115.75, "word": " بس", "probability": 0.771728515625}, {"start": 115.75, "end": 115.87, "word": " ال", "probability": 0.96826171875}, {"start": 115.87, "end": 116.23, "word": " absolute", "probability": 0.96630859375}, {"start": 116.23, "end": 116.57, "word": " value", "probability": 0.98486328125}, {"start": 116.57, "end": 117.49, "word": " لمن؟", "probability": 0.80712890625}, {"start": 117.49, "end": 117.95, "word": " لل", "probability": 0.7470703125}, {"start": 117.95, "end": 118.39, "word": " A", "probability": 0.330322265625}, {"start": 118.39, "end": 118.71, "word": " N", "probability": 0.48486328125}, {"start": 118.71, "end": 119.43, "word": " لو", "probability": 0.61767578125}, {"start": 119.43, "end": 120.01, "word": " كانت", "probability": 0.958251953125}, {"start": 120.01, "end": 120.13, "word": " ال", "probability": 0.72216796875}, {"start": 120.13, "end": 120.47, "word": " series", "probability": 0.953125}, {"start": 120.47, "end": 120.75, "word": " of", "probability": 0.9638671875}, {"start": 120.75, "end": 121.33, "word": " absolute", "probability": 0.94287109375}, {"start": 121.33, "end": 121.95, "word": " values", "probability": 0.90087890625}, {"start": 121.95, "end": 122.99, "word": " converge", "probability": 0.8271484375}, {"start": 122.99, "end": 123.95, "word": " بروح", "probability": 0.82470703125}, {"start": 123.95, "end": 124.29, "word": " بقول", "probability": 0.92724609375}, {"start": 124.29, "end": 124.45, "word": " ال", "probability": 0.7333984375}, {"start": 124.45, "end": 124.73, "word": " series", "probability": 0.95654296875}, {"start": 124.73, "end": 125.53, "word": " الأصلية", "probability": 0.8424479166666666}, {"start": 125.53, "end": 125.97, "word": " هذه", "probability": 0.405029296875}, {"start": 125.97, "end": 126.75, "word": " converge", "probability": 0.984375}, {"start": 126.75, "end": 128.75, "word": " absolutely", "probability": 0.69580078125}], "temperature": 1.0}, {"id": 6, "seek": 14403, "start": 136.87, "end": 144.03, "text": "التعريف الثاني بيقول لو ال summation under ال alternating series هذه ما طلعتش converge", "tokens": [6027, 2655, 3615, 16572, 5172, 6024, 104, 7649, 1829, 4724, 1829, 39648, 45164, 2423, 28811, 833, 2423, 40062, 2638, 29538, 19446, 23032, 1211, 34268, 8592, 41881], "avg_logprob": -0.3585069488596033, "compression_ratio": 1.0810810810810811, "no_speech_prob": 0.0, "words": [{"start": 136.86999999999998, "end": 137.95, "word": "التعريف", "probability": 0.692529296875}, {"start": 137.95, "end": 138.59, "word": " الثاني", "probability": 0.9114990234375}, {"start": 138.59, "end": 139.25, "word": " بيقول", "probability": 0.78662109375}, {"start": 139.25, "end": 139.55, "word": " لو", "probability": 0.62158203125}, {"start": 139.55, "end": 139.77, "word": " ال", "probability": 0.74365234375}, {"start": 139.77, "end": 140.23, "word": " summation", "probability": 0.72509765625}, {"start": 140.23, "end": 140.63, "word": " under", "probability": 0.37451171875}, {"start": 140.63, "end": 140.85, "word": " ال", "probability": 0.955078125}, {"start": 140.85, "end": 141.47, "word": " alternating", "probability": 0.95556640625}, {"start": 141.47, "end": 142.23, "word": " series", "probability": 0.8994140625}, {"start": 142.23, "end": 142.55, "word": " هذه", "probability": 0.294189453125}, {"start": 142.55, "end": 142.71, "word": " ما", "probability": 0.56884765625}, {"start": 142.71, "end": 143.39, "word": " طلعتش", "probability": 0.9122314453125}, {"start": 143.39, "end": 144.03, "word": " converge", "probability": 0.619140625}], "temperature": 1.0}, {"id": 7, "seek": 16241, "start": 145.92, "end": 162.42, "text": "يعني ال alternating series هذي طلعت diverge شونعمل is not converge absolutely يعني ماطلعتش converge absolutely يعني طلعت diverge يبجيش في هذه الحلبات satisfy the conditions of the previous theorem", "tokens": [40228, 22653, 2423, 40062, 2638, 8032, 8848, 1829, 23032, 1211, 34268, 18558, 432, 13412, 11536, 25957, 1211, 307, 406, 41881, 3122, 37495, 22653, 19446, 9566, 1211, 34268, 8592, 41881, 3122, 37495, 22653, 23032, 1211, 34268, 18558, 432, 7251, 3555, 7435, 1829, 8592, 8978, 29538, 21542, 46152, 9307, 19319, 264, 4487, 295, 264, 3894, 20904], "avg_logprob": -0.41392045562917534, "compression_ratio": 1.5304878048780488, "no_speech_prob": 0.0, "words": [{"start": 145.92, "end": 146.6, "word": "يعني", "probability": 0.5999755859375}, {"start": 146.6, "end": 146.98, "word": " ال", "probability": 0.6376953125}, {"start": 146.98, "end": 147.5, "word": " alternating", "probability": 0.2099609375}, {"start": 147.5, "end": 148.02, "word": " series", "probability": 0.83203125}, {"start": 148.02, "end": 148.4, "word": " هذي", "probability": 0.5388997395833334}, {"start": 148.4, "end": 148.9, "word": " طلعت", "probability": 0.8294270833333334}, {"start": 148.9, "end": 149.72, "word": " diverge", "probability": 0.4884033203125}, {"start": 149.72, "end": 150.58, "word": " شونعمل", "probability": 0.574310302734375}, {"start": 150.58, "end": 151.28, "word": " is", "probability": 0.544921875}, {"start": 151.28, "end": 151.84, "word": " not", "probability": 0.95703125}, {"start": 151.84, "end": 152.54, "word": " converge", "probability": 0.853515625}, {"start": 152.54, "end": 153.46, "word": " absolutely", "probability": 0.5703125}, {"start": 153.46, "end": 153.78, "word": " يعني", "probability": 0.832275390625}, {"start": 153.78, "end": 154.34, "word": " ماطلعتش", "probability": 0.76630859375}, {"start": 154.34, "end": 154.84, "word": " converge", "probability": 0.82568359375}, {"start": 154.84, "end": 155.26, "word": " absolutely", "probability": 0.499267578125}, {"start": 155.26, "end": 155.58, "word": " يعني", "probability": 0.89404296875}, {"start": 155.58, "end": 156.06, "word": " طلعت", "probability": 0.9690755208333334}, {"start": 156.06, "end": 157.28, "word": " diverge", "probability": 0.791748046875}, {"start": 157.28, "end": 157.82, "word": " يبجيش", "probability": 0.48916015625}, {"start": 157.82, "end": 157.96, "word": " في", "probability": 0.92138671875}, {"start": 157.96, "end": 158.18, "word": " هذه", "probability": 0.9365234375}, {"start": 158.18, "end": 158.86, "word": " الحلبات", "probability": 0.7606608072916666}, {"start": 158.86, "end": 159.52, "word": " satisfy", "probability": 0.66064453125}, {"start": 159.52, "end": 160.18, "word": " the", "probability": 0.8662109375}, {"start": 160.18, "end": 160.88, "word": " conditions", "probability": 0.87255859375}, {"start": 160.88, "end": 161.22, "word": " of", "probability": 0.97998046875}, {"start": 161.22, "end": 161.4, "word": " the", "probability": 0.90869140625}, {"start": 161.4, "end": 161.88, "word": " previous", "probability": 0.8505859375}, {"start": 161.88, "end": 162.42, "word": " theorem", "probability": 0.81982421875}], "temperature": 1.0}, {"id": 8, "seek": 18850, "start": 162.72, "end": 188.5, "text": "بتحقق الشروط التالتة اللي قلت لكم قبل قليل انتقال تقارب تقارب شرطيا او تقارب مشروطا المباحظات التالية اللي عندنا", "tokens": [3555, 2655, 5016, 4587, 4587, 25124, 32887, 9566, 16712, 6027, 2655, 3660, 13672, 1829, 12174, 1211, 2655, 5296, 24793, 12174, 36150, 12174, 20292, 1211, 16472, 2655, 4587, 6027, 6055, 4587, 9640, 3555, 6055, 4587, 9640, 3555, 13412, 2288, 9566, 25528, 1975, 2407, 6055, 4587, 9640, 3555, 37893, 32887, 9566, 995, 9673, 3555, 39319, 19913, 9307, 16712, 6027, 10632, 13672, 1829, 43242, 8315], "avg_logprob": -0.27455358088962617, "compression_ratio": 1.8727272727272728, "no_speech_prob": 0.0, "words": [{"start": 162.72, "end": 163.44, "word": "بتحقق", "probability": 0.82578125}, {"start": 163.44, "end": 163.86, "word": " الشروط", "probability": 0.9016927083333334}, {"start": 163.86, "end": 164.36, "word": " التالتة", "probability": 0.8238525390625}, {"start": 164.36, "end": 164.5, "word": " اللي", "probability": 0.86669921875}, {"start": 164.5, "end": 164.8, "word": " قلت", "probability": 0.849609375}, {"start": 164.8, "end": 165.06, "word": " لكم", "probability": 0.47894287109375}, {"start": 165.06, "end": 165.54, "word": " قبل", "probability": 0.98876953125}, {"start": 165.54, "end": 166.62, "word": " قليل", "probability": 0.982421875}, {"start": 166.62, "end": 175.08, "word": " انتقال", "probability": 0.489349365234375}, {"start": 175.08, "end": 180.06, "word": " تقارب", "probability": 0.710479736328125}, {"start": 180.06, "end": 180.66, "word": " تقارب", "probability": 0.8819580078125}, {"start": 180.66, "end": 181.4, "word": " شرطيا", "probability": 0.8656005859375}, {"start": 181.4, "end": 181.7, "word": " او", "probability": 0.805908203125}, {"start": 181.7, "end": 182.5, "word": " تقارب", "probability": 0.9691162109375}, {"start": 182.5, "end": 184.5, "word": " مشروطا", "probability": 0.9761962890625}, {"start": 184.5, "end": 187.44, "word": " المباحظات", "probability": 0.71748046875}, {"start": 187.44, "end": 187.94, "word": " التالية", "probability": 0.9851888020833334}, {"start": 187.94, "end": 188.12, "word": " اللي", "probability": 0.89013671875}, {"start": 188.12, "end": 188.5, "word": " عندنا", "probability": 0.898681640625}], "temperature": 1.0}, {"id": 9, "seek": 21012, "start": 189.1, "end": 210.12, "text": "الأولى حكيناها التانية converge absolutely تعني converge، converge conditionally تعني كذلك converge يبقى انطلاق تكون ان converge absolutely و لا converge conditionally معناه هذا الكلام ان ال series هذي converge طب لو جيت على الشروط التلاتة و اتطلعت في الشرط التالت", "tokens": [6027, 10721, 12610, 7578, 11331, 4117, 1829, 8315, 11296, 16712, 7649, 10632, 41881, 3122, 6055, 3615, 22653, 41881, 12399, 41881, 4188, 379, 37279, 22653, 9122, 8848, 23275, 41881, 7251, 3555, 4587, 7578, 16472, 9566, 15040, 4587, 6055, 30544, 16472, 41881, 3122, 4032, 20193, 41881, 4188, 379, 20449, 8315, 3224, 23758, 2423, 28820, 10943, 16472, 2423, 2638, 8032, 8848, 1829, 41881, 23032, 3555, 45164, 10874, 36081, 15844, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 4032, 1975, 2655, 9566, 1211, 34268, 8978, 25124, 2288, 9566, 16712, 6027, 2655], "avg_logprob": -0.2931034407396426, "compression_ratio": 1.8627450980392157, "no_speech_prob": 0.0, "words": [{"start": 189.1, "end": 189.78, "word": "الأولى", "probability": 0.90478515625}, {"start": 189.78, "end": 190.64, "word": " حكيناها", "probability": 0.806591796875}, {"start": 190.64, "end": 191.74, "word": " التانية", "probability": 0.9012044270833334}, {"start": 191.74, "end": 192.18, "word": " converge", "probability": 0.853515625}, {"start": 192.18, "end": 193.22, "word": " absolutely", "probability": 0.67919921875}, {"start": 193.22, "end": 193.72, "word": " تعني", "probability": 0.73876953125}, {"start": 193.72, "end": 194.46, "word": " converge،", "probability": 0.6614990234375}, {"start": 194.46, "end": 194.88, "word": " converge", "probability": 0.59716796875}, {"start": 194.88, "end": 195.7, "word": " conditionally", "probability": 0.781005859375}, {"start": 195.7, "end": 196.3, "word": " تعني", "probability": 0.76416015625}, {"start": 196.3, "end": 197.12, "word": " كذلك", "probability": 0.9666341145833334}, {"start": 197.12, "end": 197.78, "word": " converge", "probability": 0.89599609375}, {"start": 197.78, "end": 198.5, "word": " يبقى", "probability": 0.84698486328125}, {"start": 198.5, "end": 198.86, "word": " انطلاق", "probability": 0.5501708984375}, {"start": 198.86, "end": 199.28, "word": " تكون", "probability": 0.671142578125}, {"start": 199.28, "end": 199.5, "word": " ان", "probability": 0.61279296875}, {"start": 199.5, "end": 200.04, "word": " converge", "probability": 0.1767578125}, {"start": 200.04, "end": 200.7, "word": " absolutely", "probability": 0.77783203125}, {"start": 200.7, "end": 200.9, "word": " و", "probability": 0.53857421875}, {"start": 200.9, "end": 201.0, "word": " لا", "probability": 0.53369140625}, {"start": 201.0, "end": 201.46, "word": " converge", "probability": 0.88134765625}, {"start": 201.46, "end": 202.24, "word": " conditionally", "probability": 0.9169921875}, {"start": 202.24, "end": 202.72, "word": " معناه", "probability": 0.8966471354166666}, {"start": 202.72, "end": 202.92, "word": " هذا", "probability": 0.86767578125}, {"start": 202.92, "end": 203.34, "word": " الكلام", "probability": 0.9363606770833334}, {"start": 203.34, "end": 203.54, "word": " ان", "probability": 0.7470703125}, {"start": 203.54, "end": 203.72, "word": " ال", "probability": 0.291259765625}, {"start": 203.72, "end": 203.94, "word": " series", "probability": 0.3125}, {"start": 203.94, "end": 204.48, "word": " هذي", "probability": 0.6720377604166666}, {"start": 204.48, "end": 205.3, "word": " converge", "probability": 0.505859375}, {"start": 205.3, "end": 206.04, "word": " طب", "probability": 0.75439453125}, {"start": 206.04, "end": 206.26, "word": " لو", "probability": 0.9814453125}, {"start": 206.26, "end": 206.54, "word": " جيت", "probability": 0.900146484375}, {"start": 206.54, "end": 206.8, "word": " على", "probability": 0.73681640625}, {"start": 206.8, "end": 207.4, "word": " الشروط", "probability": 0.9103190104166666}, {"start": 207.4, "end": 207.86, "word": " التلاتة", "probability": 0.6971435546875}, {"start": 207.86, "end": 208.02, "word": " و", "probability": 0.94970703125}, {"start": 208.02, "end": 208.66, "word": " اتطلعت", "probability": 0.83017578125}, {"start": 208.66, "end": 208.82, "word": " في", "probability": 0.83984375}, {"start": 208.82, "end": 209.42, "word": " الشرط", "probability": 0.9703776041666666}, {"start": 209.42, "end": 210.12, "word": " التالت", "probability": 0.8284505208333334}], "temperature": 1.0}, {"id": 10, "seek": 23392, "start": 217.44, "end": 233.92, "text": "الشرط التالت في النظرية لم يتحقق بصير سيرز مالها؟ السؤال هو طب ليش الشرط التالت من دون الشروط الأخرى؟الإجابة بسيطة جدا الشرط التالت يعني اختبار الحد النوني", "tokens": [6027, 8592, 2288, 9566, 16712, 6027, 2655, 8978, 28239, 19913, 2288, 10632, 32767, 7251, 2655, 5016, 4587, 4587, 4724, 9381, 13546, 8608, 13546, 11622, 3714, 6027, 11296, 22807, 21136, 33604, 6027, 31439, 23032, 3555, 32239, 8592, 25124, 2288, 9566, 16712, 6027, 2655, 9154, 11778, 11536, 25124, 32887, 9566, 16247, 34740, 7578, 22807, 6027, 28814, 7435, 16758, 3660, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 25124, 2288, 9566, 16712, 6027, 2655, 37495, 22653, 1975, 46456, 3555, 9640, 21542, 3215, 28239, 11536, 1829], "avg_logprob": -0.24599847433770575, "compression_ratio": 1.844155844155844, "no_speech_prob": 0.0, "words": [{"start": 217.44, "end": 218.56, "word": "الشرط", "probability": 0.526458740234375}, {"start": 218.56, "end": 219.04, "word": " التالت", "probability": 0.9189453125}, {"start": 219.04, "end": 219.16, "word": " في", "probability": 0.54736328125}, {"start": 219.16, "end": 219.8, "word": " النظرية", "probability": 0.9197998046875}, {"start": 219.8, "end": 220.2, "word": " لم", "probability": 0.72216796875}, {"start": 220.2, "end": 221.86, "word": " يتحقق", "probability": 0.9828125}, {"start": 221.86, "end": 222.46, "word": " بصير", "probability": 0.4877115885416667}, {"start": 222.46, "end": 222.9, "word": " سيرز", "probability": 0.5662434895833334}, {"start": 222.9, "end": 224.1, "word": " مالها؟", "probability": 0.577239990234375}, {"start": 224.1, "end": 224.66, "word": " السؤال", "probability": 0.7414143880208334}, {"start": 224.66, "end": 224.84, "word": " هو", "probability": 0.8642578125}, {"start": 224.84, "end": 225.12, "word": " طب", "probability": 0.55035400390625}, {"start": 225.12, "end": 225.4, "word": " ليش", "probability": 0.970703125}, {"start": 225.4, "end": 225.92, "word": " الشرط", "probability": 0.9680989583333334}, {"start": 225.92, "end": 226.54, "word": " التالت", "probability": 0.9886067708333334}, {"start": 226.54, "end": 226.8, "word": " من", "probability": 0.59521484375}, {"start": 226.8, "end": 227.18, "word": " دون", "probability": 0.9912109375}, {"start": 227.18, "end": 227.76, "word": " الشروط", "probability": 0.9466145833333334}, {"start": 227.76, "end": 229.16, "word": " الأخرى؟الإجابة", "probability": 0.8453504774305556}, {"start": 229.16, "end": 229.66, "word": " بسيطة", "probability": 0.98935546875}, {"start": 229.66, "end": 229.96, "word": " جدا", "probability": 0.99072265625}, {"start": 229.96, "end": 230.92, "word": " الشرط", "probability": 0.9249674479166666}, {"start": 230.92, "end": 231.52, "word": " التالت", "probability": 0.9894205729166666}, {"start": 231.52, "end": 232.02, "word": " يعني", "probability": 0.957275390625}, {"start": 232.02, "end": 232.8, "word": " اختبار", "probability": 0.9571533203125}, {"start": 232.8, "end": 233.36, "word": " الحد", "probability": 0.988037109375}, {"start": 233.36, "end": 233.92, "word": " النوني", "probability": 0.78759765625}], "temperature": 1.0}, {"id": 11, "seek": 24652, "start": 234.38, "end": 246.52, "text": "المتر للان لما الان بتروح لمالها لنهاية إذا كان لا يسوى zero يبقى ال series مالها by value مش هيك اختبارها لحد نوني يبقى هنا لحد نوني فأحلى من جول", "tokens": [45340, 2655, 2288, 24976, 7649, 5296, 15042, 2423, 7649, 39894, 32887, 5016, 32767, 6027, 11296, 5296, 1863, 11296, 10632, 11933, 15730, 25961, 20193, 7251, 3794, 2407, 7578, 4018, 7251, 3555, 4587, 7578, 2423, 2638, 3714, 6027, 11296, 538, 2158, 37893, 39896, 4117, 1975, 46456, 3555, 9640, 11296, 5296, 24401, 8717, 11536, 1829, 7251, 3555, 4587, 7578, 34105, 5296, 24401, 8717, 11536, 1829, 6156, 10721, 5016, 23942, 9154, 10874, 12610], "avg_logprob": -0.38169641835348944, "compression_ratio": 1.5974025974025974, "no_speech_prob": 0.0, "words": [{"start": 234.38, "end": 235.2, "word": "المتر", "probability": 0.3275146484375}, {"start": 235.2, "end": 235.78, "word": " للان", "probability": 0.379638671875}, {"start": 235.78, "end": 236.08, "word": " لما", "probability": 0.5455322265625}, {"start": 236.08, "end": 236.26, "word": " الان", "probability": 0.766845703125}, {"start": 236.26, "end": 236.58, "word": " بتروح", "probability": 0.8600260416666666}, {"start": 236.58, "end": 236.98, "word": " لمالها", "probability": 0.5740966796875}, {"start": 236.98, "end": 237.5, "word": " لنهاية", "probability": 0.787109375}, {"start": 237.5, "end": 238.22, "word": " إذا", "probability": 0.75634765625}, {"start": 238.22, "end": 238.56, "word": " كان", "probability": 0.85546875}, {"start": 238.56, "end": 238.76, "word": " لا", "probability": 0.638671875}, {"start": 238.76, "end": 239.58, "word": " يسوى", "probability": 0.6754150390625}, {"start": 239.58, "end": 239.84, "word": " zero", "probability": 0.263916015625}, {"start": 239.84, "end": 240.2, "word": " يبقى", "probability": 0.9385986328125}, {"start": 240.2, "end": 240.24, "word": " ال", "probability": 0.73095703125}, {"start": 240.24, "end": 240.5, "word": " series", "probability": 0.92138671875}, {"start": 240.5, "end": 241.1, "word": " مالها", "probability": 0.9140625}, {"start": 241.1, "end": 241.92, "word": " by", "probability": 0.744140625}, {"start": 241.92, "end": 242.42, "word": " value", "probability": 0.2469482421875}, {"start": 242.42, "end": 242.66, "word": " مش", "probability": 0.8916015625}, {"start": 242.66, "end": 242.84, "word": " هيك", "probability": 0.896728515625}, {"start": 242.84, "end": 243.3, "word": " اختبارها", "probability": 0.839453125}, {"start": 243.3, "end": 243.54, "word": " لحد", "probability": 0.951171875}, {"start": 243.54, "end": 244.08, "word": " نوني", "probability": 0.6314290364583334}, {"start": 244.08, "end": 244.64, "word": " يبقى", "probability": 0.9144287109375}, {"start": 244.64, "end": 244.78, "word": " هنا", "probability": 0.923828125}, {"start": 244.78, "end": 245.14, "word": " لحد", "probability": 0.992919921875}, {"start": 245.14, "end": 245.52, "word": " نوني", "probability": 0.94873046875}, {"start": 245.52, "end": 246.02, "word": " فأحلى", "probability": 0.70001220703125}, {"start": 246.02, "end": 246.24, "word": " من", "probability": 0.71630859375}, {"start": 246.24, "end": 246.52, "word": " جول", "probability": 0.6431884765625}], "temperature": 1.0}, {"id": 12, "seek": 27086, "start": 246.78, "end": 270.86, "text": "إذا الشرط التالت لم يتحقق كان لا يساوي Zero يبقى في هذه الحالة Series وعن هذه بقول عنها مالها Diverged ايوة طب ايش رأيك؟ بدي الم كلام المرة اللي فاتت و المرة هذه في استراتيجية حل ال alternating series كيف بدنا نحل سؤال ال alternating series؟", "tokens": [28814, 15730, 25124, 2288, 9566, 16712, 6027, 2655, 32767, 7251, 2655, 5016, 4587, 4587, 25961, 20193, 7251, 3794, 995, 45865, 17182, 7251, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 13934, 4032, 3615, 1863, 29538, 4724, 39648, 18871, 11296, 3714, 6027, 11296, 413, 1837, 3004, 1975, 1829, 2407, 3660, 23032, 3555, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 22807, 4724, 16254, 1975, 19528, 28242, 10943, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 4032, 9673, 25720, 29538, 8978, 44713, 2288, 9307, 1829, 7435, 10632, 11331, 1211, 2423, 40062, 2638, 9122, 33911, 47525, 8315, 8717, 5016, 1211, 8608, 33604, 6027, 2423, 40062, 2638, 22807], "avg_logprob": -0.24984829576270093, "compression_ratio": 1.7035398230088497, "no_speech_prob": 0.0, "words": [{"start": 246.78, "end": 247.14, "word": "إذا", "probability": 0.7802734375}, {"start": 247.14, "end": 247.7, "word": " الشرط", "probability": 0.9772135416666666}, {"start": 247.7, "end": 248.4, "word": " التالت", "probability": 0.97607421875}, {"start": 248.4, "end": 248.78, "word": " لم", "probability": 0.9736328125}, {"start": 248.78, "end": 250.36, "word": " يتحقق", "probability": 0.991796875}, {"start": 250.36, "end": 250.92, "word": " كان", "probability": 0.59423828125}, {"start": 250.92, "end": 251.08, "word": " لا", "probability": 0.6875}, {"start": 251.08, "end": 251.62, "word": " يساوي", "probability": 0.818115234375}, {"start": 251.62, "end": 252.04, "word": " Zero", "probability": 0.320556640625}, {"start": 252.04, "end": 252.88, "word": " يبقى", "probability": 0.893798828125}, {"start": 252.88, "end": 253.0, "word": " في", "probability": 0.896484375}, {"start": 253.0, "end": 253.34, "word": " هذه", "probability": 0.9453125}, {"start": 253.34, "end": 253.84, "word": " الحالة", "probability": 0.9632161458333334}, {"start": 253.84, "end": 254.2, "word": " Series", "probability": 0.56494140625}, {"start": 254.2, "end": 254.58, "word": " وعن", "probability": 0.4149576822916667}, {"start": 254.58, "end": 254.86, "word": " هذه", "probability": 0.70361328125}, {"start": 254.86, "end": 255.18, "word": " بقول", "probability": 0.760986328125}, {"start": 255.18, "end": 255.5, "word": " عنها", "probability": 0.97705078125}, {"start": 255.5, "end": 256.04, "word": " مالها", "probability": 0.8238118489583334}, {"start": 256.04, "end": 257.7, "word": " Diverged", "probability": 0.4914957682291667}, {"start": 257.7, "end": 258.38, "word": " ايوة", "probability": 0.7060546875}, {"start": 258.38, "end": 258.68, "word": " طب", "probability": 0.8076171875}, {"start": 258.68, "end": 258.9, "word": " ايش", "probability": 0.59130859375}, {"start": 258.9, "end": 259.4, "word": " رأيك؟", "probability": 0.92939453125}, {"start": 259.4, "end": 259.58, "word": " بدي", "probability": 0.4925537109375}, {"start": 259.58, "end": 259.76, "word": " الم", "probability": 0.5455322265625}, {"start": 259.76, "end": 260.2, "word": " كلام", "probability": 0.693603515625}, {"start": 260.2, "end": 260.62, "word": " المرة", "probability": 0.889892578125}, {"start": 260.62, "end": 260.82, "word": " اللي", "probability": 0.831298828125}, {"start": 260.82, "end": 261.26, "word": " فاتت", "probability": 0.8963216145833334}, {"start": 261.26, "end": 261.36, "word": " و", "probability": 0.72900390625}, {"start": 261.36, "end": 261.88, "word": " المرة", "probability": 0.78955078125}, {"start": 261.88, "end": 262.36, "word": " هذه", "probability": 0.7197265625}, {"start": 262.36, "end": 263.04, "word": " في", "probability": 0.880859375}, {"start": 263.04, "end": 264.36, "word": " استراتيجية", "probability": 0.9851888020833334}, {"start": 264.36, "end": 264.8, "word": " حل", "probability": 0.9873046875}, {"start": 264.8, "end": 264.94, "word": " ال", "probability": 0.962890625}, {"start": 264.94, "end": 265.8, "word": " alternating", "probability": 0.880859375}, {"start": 265.8, "end": 266.68, "word": " series", "probability": 0.787109375}, {"start": 266.68, "end": 267.5, "word": " كيف", "probability": 0.929931640625}, {"start": 267.5, "end": 267.82, "word": " بدنا", "probability": 0.554931640625}, {"start": 267.82, "end": 268.18, "word": " نحل", "probability": 0.98974609375}, {"start": 268.18, "end": 268.66, "word": " سؤال", "probability": 0.96875}, {"start": 268.66, "end": 268.86, "word": " ال", "probability": 0.978515625}, {"start": 268.86, "end": 269.66, "word": " alternating", "probability": 0.98779296875}, {"start": 269.66, "end": 270.86, "word": " series؟", "probability": 0.890380859375}], "temperature": 1.0}, {"id": 13, "seek": 29270, "start": 271.23, "end": 292.71, "text": "انتبه معايا كويس الكلام اللى هقوله لك نظري هطبقه الآن على الأمثلة حرفيا ابنجي على ال alternative series الأساسية اللى عندنا هذه و باخدلها series of absolute value بالشكل اللى عندنا هنا طب ليش بدي اخدلها series of absolute value؟ اه بقول انا بدي استخدم الاختبارات", "tokens": [7649, 2655, 3555, 3224, 20449, 995, 25528, 9122, 45865, 3794, 2423, 28820, 10943, 13672, 7578, 8032, 39648, 3224, 5296, 4117, 8717, 19913, 16572, 8032, 9566, 3555, 4587, 3224, 6024, 48506, 15844, 16247, 2304, 12984, 37977, 11331, 28480, 25528, 48127, 1863, 7435, 1829, 15844, 2423, 8535, 2638, 16247, 3794, 32277, 10632, 13672, 7578, 43242, 8315, 29538, 4032, 4724, 47283, 3215, 1211, 11296, 2638, 295, 8236, 2158, 20666, 8592, 28820, 13672, 7578, 43242, 8315, 34105, 23032, 3555, 32239, 8592, 4724, 16254, 1975, 9778, 3215, 1211, 11296, 2638, 295, 8236, 2158, 22807, 1975, 3224, 4724, 39648, 1975, 8315, 4724, 16254, 44713, 9778, 40448, 2423, 47283, 2655, 3555, 9640, 9307], "avg_logprob": -0.2080899585630292, "compression_ratio": 1.8421052631578947, "no_speech_prob": 0.0, "words": [{"start": 271.23, "end": 271.81, "word": "انتبه", "probability": 0.802764892578125}, {"start": 271.81, "end": 272.13, "word": " معايا", "probability": 0.8662109375}, {"start": 272.13, "end": 272.63, "word": " كويس", "probability": 0.8551432291666666}, {"start": 272.63, "end": 273.01, "word": " الكلام", "probability": 0.7131754557291666}, {"start": 273.01, "end": 273.15, "word": " اللى", "probability": 0.73046875}, {"start": 273.15, "end": 273.51, "word": " هقوله", "probability": 0.8543294270833334}, {"start": 273.51, "end": 273.77, "word": " لك", "probability": 0.862060546875}, {"start": 273.77, "end": 274.13, "word": " نظري", "probability": 0.95361328125}, {"start": 274.13, "end": 274.83, "word": " هطبقه", "probability": 0.92705078125}, {"start": 274.83, "end": 275.09, "word": " الآن", "probability": 0.65625}, {"start": 275.09, "end": 275.33, "word": " على", "probability": 0.8115234375}, {"start": 275.33, "end": 275.91, "word": " الأمثلة", "probability": 0.936767578125}, {"start": 275.91, "end": 276.95, "word": " حرفيا", "probability": 0.9402669270833334}, {"start": 276.95, "end": 278.39, "word": " ابنجي", "probability": 0.79254150390625}, {"start": 278.39, "end": 278.57, "word": " على", "probability": 0.8212890625}, {"start": 278.57, "end": 278.73, "word": " ال", "probability": 0.95458984375}, {"start": 278.73, "end": 279.35, "word": " alternative", "probability": 0.25634765625}, {"start": 279.35, "end": 279.83, "word": " series", "probability": 0.8662109375}, {"start": 279.83, "end": 280.61, "word": " الأساسية", "probability": 0.951416015625}, {"start": 280.61, "end": 280.79, "word": " اللى", "probability": 0.94580078125}, {"start": 280.79, "end": 281.21, "word": " عندنا", "probability": 0.975830078125}, {"start": 281.21, "end": 281.51, "word": " هذه", "probability": 0.5693359375}, {"start": 281.51, "end": 282.49, "word": " و", "probability": 0.4677734375}, {"start": 282.49, "end": 283.09, "word": " باخدلها", "probability": 0.92939453125}, {"start": 283.09, "end": 283.51, "word": " series", "probability": 0.8134765625}, {"start": 283.51, "end": 283.95, "word": " of", "probability": 0.98046875}, {"start": 283.95, "end": 284.73, "word": " absolute", "probability": 0.9306640625}, {"start": 284.73, "end": 285.37, "word": " value", "probability": 0.81103515625}, {"start": 285.37, "end": 285.87, "word": " بالشكل", "probability": 0.92333984375}, {"start": 285.87, "end": 286.05, "word": " اللى", "probability": 0.919189453125}, {"start": 286.05, "end": 286.45, "word": " عندنا", "probability": 0.924560546875}, {"start": 286.45, "end": 286.69, "word": " هنا", "probability": 0.81201171875}, {"start": 286.69, "end": 287.27, "word": " طب", "probability": 0.796630859375}, {"start": 287.27, "end": 287.49, "word": " ليش", "probability": 0.913818359375}, {"start": 287.49, "end": 287.73, "word": " بدي", "probability": 0.38720703125}, {"start": 287.73, "end": 288.25, "word": " اخدلها", "probability": 0.89296875}, {"start": 288.25, "end": 288.53, "word": " series", "probability": 0.85546875}, {"start": 288.53, "end": 288.69, "word": " of", "probability": 0.97021484375}, {"start": 288.69, "end": 289.17, "word": " absolute", "probability": 0.93505859375}, {"start": 289.17, "end": 289.95, "word": " value؟", "probability": 0.463623046875}, {"start": 289.95, "end": 290.59, "word": " اه", "probability": 0.739013671875}, {"start": 290.59, "end": 290.93, "word": " بقول", "probability": 0.96337890625}, {"start": 290.93, "end": 291.25, "word": " انا", "probability": 0.77783203125}, {"start": 291.25, "end": 291.45, "word": " بدي", "probability": 0.935546875}, {"start": 291.45, "end": 291.89, "word": " استخدم", "probability": 0.83544921875}, {"start": 291.89, "end": 292.71, "word": " الاختبارات", "probability": 0.91357421875}], "temperature": 1.0}, {"id": 14, "seek": 32201, "start": 293.07, "end": 322.01, "text": "والاختبارات اللي خدناها هما على الاختبار الأول تبع ال end term test كل الاختبارات بيشترق انه series with positive terms الحدود كلها موجبة اذا مشان اقدر استخدم اي اختبار منهم لازم بالنسبة للانتقال اخد منه the series of absolute values مشان اضمن انه كل الحدود موجبة وبالتالي اي استخدم اي اختبار من الاختبارات اللتي سابقة دراستها", "tokens": [2407, 6027, 47283, 2655, 3555, 9640, 9307, 13672, 1829, 16490, 3215, 8315, 11296, 8032, 15042, 15844, 2423, 47283, 2655, 3555, 9640, 16247, 12610, 6055, 3555, 3615, 2423, 917, 1433, 1500, 28242, 2423, 47283, 2655, 3555, 9640, 9307, 4724, 1829, 8592, 2655, 2288, 4587, 16472, 3224, 2638, 365, 3353, 2115, 21542, 3215, 23328, 28242, 11296, 3714, 29245, 49401, 1975, 15730, 37893, 7649, 1975, 28543, 2288, 44713, 9778, 40448, 1975, 1829, 1975, 46456, 3555, 9640, 9154, 16095, 5296, 31377, 2304, 20666, 1863, 35457, 3660, 24976, 7649, 2655, 4587, 6027, 1975, 9778, 3215, 9154, 3224, 264, 2638, 295, 8236, 4190, 37893, 7649, 1975, 11242, 27842, 16472, 3224, 28242, 21542, 3215, 23328, 3714, 29245, 49401, 46599, 6027, 2655, 6027, 1829, 1975, 1829, 1975, 14851, 9778, 40448, 1975, 1829, 1975, 46456, 3555, 9640, 9154, 2423, 47283, 2655, 3555, 9640, 9307, 13672, 31371, 8608, 16758, 28671, 11778, 23557, 14851, 11296], "avg_logprob": -0.24310345320866025, "compression_ratio": 2.037878787878788, "no_speech_prob": 0.0, "words": [{"start": 293.07, "end": 294.19, "word": "والاختبارات", "probability": 0.8263113839285714}, {"start": 294.19, "end": 294.35, "word": " اللي", "probability": 0.6776123046875}, {"start": 294.35, "end": 294.99, "word": " خدناها", "probability": 0.7979736328125}, {"start": 294.99, "end": 295.27, "word": " هما", "probability": 0.563720703125}, {"start": 295.27, "end": 295.59, "word": " على", "probability": 0.396728515625}, {"start": 295.59, "end": 296.25, "word": " الاختبار", "probability": 0.8775390625}, {"start": 296.25, "end": 296.79, "word": " الأول", "probability": 0.851318359375}, {"start": 296.79, "end": 297.13, "word": " تبع", "probability": 0.80810546875}, {"start": 297.13, "end": 297.25, "word": " ال", "probability": 0.8583984375}, {"start": 297.25, "end": 297.47, "word": " end", "probability": 0.03643798828125}, {"start": 297.47, "end": 297.81, "word": " term", "probability": 0.82763671875}, {"start": 297.81, "end": 298.15, "word": " test", "probability": 0.900390625}, {"start": 298.15, "end": 298.53, "word": " كل", "probability": 0.64111328125}, {"start": 298.53, "end": 299.33, "word": " الاختبارات", "probability": 0.9482421875}, {"start": 299.33, "end": 300.19, "word": " بيشترق", "probability": 0.7332763671875}, {"start": 300.19, "end": 300.53, "word": " انه", "probability": 0.5799560546875}, {"start": 300.53, "end": 300.73, "word": " series", "probability": 0.76806640625}, {"start": 300.73, "end": 301.09, "word": " with", "probability": 0.88818359375}, {"start": 301.09, "end": 301.83, "word": " positive", "probability": 0.9541015625}, {"start": 301.83, "end": 302.35, "word": " terms", "probability": 0.87353515625}, {"start": 302.35, "end": 303.15, "word": " الحدود", "probability": 0.96435546875}, {"start": 303.15, "end": 304.11, "word": " كلها", "probability": 0.977294921875}, {"start": 304.11, "end": 304.45, "word": " موجبة", "probability": 0.9401041666666666}, {"start": 304.45, "end": 304.71, "word": " اذا", "probability": 0.58929443359375}, {"start": 304.71, "end": 305.13, "word": " مشان", "probability": 0.5950927734375}, {"start": 305.13, "end": 305.71, "word": " اقدر", "probability": 0.7814127604166666}, {"start": 305.71, "end": 306.71, "word": " استخدم", "probability": 0.91259765625}, {"start": 306.71, "end": 307.11, "word": " اي", "probability": 0.93603515625}, {"start": 307.11, "end": 307.71, "word": " اختبار", "probability": 0.989501953125}, {"start": 307.71, "end": 308.13, "word": " منهم", "probability": 0.984619140625}, {"start": 308.13, "end": 308.79, "word": " لازم", "probability": 0.9816080729166666}, {"start": 308.79, "end": 309.27, "word": " بالنسبة", "probability": 0.94091796875}, {"start": 309.27, "end": 309.83, "word": " للانتقال", "probability": 0.440576171875}, {"start": 309.83, "end": 310.53, "word": " اخد", "probability": 0.6051432291666666}, {"start": 310.53, "end": 311.63, "word": " منه", "probability": 0.82470703125}, {"start": 311.63, "end": 311.65, "word": " the", "probability": 0.29931640625}, {"start": 311.65, "end": 312.33, "word": " series", "probability": 0.91455078125}, {"start": 312.33, "end": 312.87, "word": " of", "probability": 0.95166015625}, {"start": 312.87, "end": 313.63, "word": " absolute", "probability": 0.93017578125}, {"start": 313.63, "end": 314.31, "word": " values", "probability": 0.92236328125}, {"start": 314.31, "end": 314.79, "word": " مشان", "probability": 0.864501953125}, {"start": 314.79, "end": 315.33, "word": " اضمن", "probability": 0.89599609375}, {"start": 315.33, "end": 315.77, "word": " انه", "probability": 0.8583984375}, {"start": 315.77, "end": 315.99, "word": " كل", "probability": 0.96533203125}, {"start": 315.99, "end": 316.47, "word": " الحدود", "probability": 0.9943033854166666}, {"start": 316.47, "end": 317.01, "word": " موجبة", "probability": 0.9892578125}, {"start": 317.01, "end": 317.99, "word": " وبالتالي", "probability": 0.9244140625}, {"start": 317.99, "end": 318.29, "word": " اي", "probability": 0.6263427734375}, {"start": 318.29, "end": 318.91, "word": " استخدم", "probability": 0.82611083984375}, {"start": 318.91, "end": 319.19, "word": " اي", "probability": 0.97802734375}, {"start": 319.19, "end": 319.63, "word": " اختبار", "probability": 0.989013671875}, {"start": 319.63, "end": 319.77, "word": " من", "probability": 0.95654296875}, {"start": 319.77, "end": 320.33, "word": " الاختبارات", "probability": 0.8741861979166666}, {"start": 320.33, "end": 320.65, "word": " اللتي", "probability": 0.683349609375}, {"start": 320.65, "end": 321.19, "word": " سابقة", "probability": 0.93798828125}, {"start": 321.19, "end": 322.01, "word": " دراستها", "probability": 0.966064453125}], "temperature": 1.0}, {"id": 15, "seek": 34831, "start": 322.41, "end": 348.31, "text": "وكان هذا ال section هو مراجعة لما سبقت دراسته في ال sections الماضية واضح كلامي؟ طيب نرجع للخطوات العملية أخدنا series of absolute values طلعت ال series of absolute values converge يبقى براحة بقول ال series الأصلية converge absolutely", "tokens": [2407, 41361, 23758, 2423, 3541, 31439, 3714, 2288, 26108, 27884, 5296, 15042, 8608, 3555, 38149, 11778, 23557, 14851, 3224, 8978, 2423, 10863, 9673, 46958, 10632, 4032, 46958, 5016, 28242, 10943, 1829, 22807, 23032, 1829, 3555, 8717, 47341, 3615, 24976, 9778, 9566, 2407, 9307, 18863, 42213, 10632, 5551, 9778, 3215, 8315, 2638, 295, 8236, 4190, 23032, 1211, 34268, 2423, 2638, 295, 8236, 4190, 41881, 7251, 3555, 4587, 7578, 4724, 23557, 5016, 3660, 4724, 39648, 2423, 2638, 16247, 36520, 10632, 41881, 3122], "avg_logprob": -0.1621334935411995, "compression_ratio": 1.7035175879396984, "no_speech_prob": 0.0, "words": [{"start": 322.41, "end": 323.31, "word": "وكان", "probability": 0.7275390625}, {"start": 323.31, "end": 323.85, "word": " هذا", "probability": 0.8623046875}, {"start": 323.85, "end": 324.31, "word": " ال", "probability": 0.53125}, {"start": 324.31, "end": 324.31, "word": " section", "probability": 0.75}, {"start": 324.31, "end": 324.65, "word": " هو", "probability": 0.86767578125}, {"start": 324.65, "end": 325.55, "word": " مراجعة", "probability": 0.87841796875}, {"start": 325.55, "end": 325.85, "word": " لما", "probability": 0.701171875}, {"start": 325.85, "end": 326.41, "word": " سبقت", "probability": 0.8174641927083334}, {"start": 326.41, "end": 327.21, "word": " دراسته", "probability": 0.895751953125}, {"start": 327.21, "end": 327.41, "word": " في", "probability": 0.9384765625}, {"start": 327.41, "end": 327.57, "word": " ال", "probability": 0.92236328125}, {"start": 327.57, "end": 328.19, "word": " sections", "probability": 0.9189453125}, {"start": 328.19, "end": 330.55, "word": " الماضية", "probability": 0.9895833333333334}, {"start": 330.55, "end": 331.47, "word": " واضح", "probability": 0.8865559895833334}, {"start": 331.47, "end": 332.31, "word": " كلامي؟", "probability": 0.877685546875}, {"start": 332.31, "end": 333.07, "word": " طيب", "probability": 0.8541666666666666}, {"start": 333.07, "end": 333.73, "word": " نرجع", "probability": 0.8214518229166666}, {"start": 333.73, "end": 334.27, "word": " للخطوات", "probability": 0.9193359375}, {"start": 334.27, "end": 334.91, "word": " العملية", "probability": 0.92041015625}, {"start": 334.91, "end": 335.95, "word": " أخدنا", "probability": 0.8880615234375}, {"start": 335.95, "end": 336.25, "word": " series", "probability": 0.66650390625}, {"start": 336.25, "end": 336.45, "word": " of", "probability": 0.95458984375}, {"start": 336.45, "end": 336.91, "word": " absolute", "probability": 0.93896484375}, {"start": 336.91, "end": 337.51, "word": " values", "probability": 0.919921875}, {"start": 337.51, "end": 338.55, "word": " طلعت", "probability": 0.9386393229166666}, {"start": 338.55, "end": 338.73, "word": " ال", "probability": 0.84814453125}, {"start": 338.73, "end": 339.01, "word": " series", "probability": 0.91943359375}, {"start": 339.01, "end": 339.29, "word": " of", "probability": 0.94287109375}, {"start": 339.29, "end": 340.91, "word": " absolute", "probability": 0.96044921875}, {"start": 340.91, "end": 341.47, "word": " values", "probability": 0.96728515625}, {"start": 341.47, "end": 342.51, "word": " converge", "probability": 0.68212890625}, {"start": 342.51, "end": 343.21, "word": " يبقى", "probability": 0.9010009765625}, {"start": 343.21, "end": 343.51, "word": " براحة", "probability": 0.811279296875}, {"start": 343.51, "end": 343.75, "word": " بقول", "probability": 0.923095703125}, {"start": 343.75, "end": 343.87, "word": " ال", "probability": 0.55615234375}, {"start": 343.87, "end": 344.15, "word": " series", "probability": 0.95458984375}, {"start": 344.15, "end": 345.23, "word": " الأصلية", "probability": 0.8204752604166666}, {"start": 345.23, "end": 346.55, "word": " converge", "probability": 0.95361328125}, {"start": 346.55, "end": 348.31, "word": " absolutely", "probability": 0.72509765625}], "temperature": 1.0}, {"id": 16, "seek": 37775, "start": 349.07, "end": 377.75, "text": "إذا ال series of absolute values لكل حدودها موجة بقلها ت converge بأي اختبار من الاختبارات الستة والتلاتة ال series المشهورة بقول ال series عندي converge absolutely للأصلية طيب إذا ال series of absolute values دايفيرت أقول ال alternative للأصلية دايفيرت بقوله لا لا لا استنى شوية بروح على الشروط التلاتة إذا تحققت الشروط التلاتة في آن واحد", "tokens": [28814, 15730, 2423, 2638, 295, 8236, 4190, 5296, 28820, 11331, 3215, 23328, 11296, 3714, 29245, 3660, 4724, 4587, 1211, 11296, 6055, 41881, 4724, 10721, 1829, 1975, 46456, 3555, 9640, 9154, 42963, 46456, 3555, 9640, 9307, 21136, 2655, 3660, 16070, 2655, 1211, 9307, 3660, 2423, 2638, 9673, 8592, 3224, 13063, 3660, 4724, 39648, 2423, 2638, 18871, 16254, 41881, 3122, 24976, 10721, 36520, 10632, 23032, 1829, 3555, 11933, 15730, 2423, 2638, 295, 8236, 4190, 11778, 47302, 5172, 13546, 2655, 5551, 39648, 2423, 8535, 24976, 10721, 36520, 10632, 11778, 47302, 5172, 13546, 2655, 4724, 39648, 3224, 20193, 20193, 20193, 44713, 1863, 7578, 13412, 2407, 10632, 4724, 32887, 5016, 15844, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 11933, 15730, 6055, 5016, 4587, 38149, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 8978, 19753, 1863, 36764, 24401], "avg_logprob": -0.24763256966164618, "compression_ratio": 2.054474708171206, "no_speech_prob": 0.0, "words": [{"start": 349.07, "end": 349.45, "word": "إذا", "probability": 0.7412109375}, {"start": 349.45, "end": 349.91, "word": " ال", "probability": 0.59375}, {"start": 349.91, "end": 349.91, "word": " series", "probability": 0.40625}, {"start": 349.91, "end": 350.09, "word": " of", "probability": 0.88037109375}, {"start": 350.09, "end": 350.41, "word": " absolute", "probability": 0.93017578125}, {"start": 350.41, "end": 350.69, "word": " values", "probability": 0.87451171875}, {"start": 350.69, "end": 351.19, "word": " لكل", "probability": 0.81298828125}, {"start": 351.19, "end": 351.85, "word": " حدودها", "probability": 0.976318359375}, {"start": 351.85, "end": 352.25, "word": " موجة", "probability": 0.8229166666666666}, {"start": 352.25, "end": 352.77, "word": " بقلها", "probability": 0.6512451171875}, {"start": 352.77, "end": 352.91, "word": " ت", "probability": 0.931640625}, {"start": 352.91, "end": 353.39, "word": " converge", "probability": 0.8759765625}, {"start": 353.39, "end": 353.99, "word": " بأي", "probability": 0.92138671875}, {"start": 353.99, "end": 354.57, "word": " اختبار", "probability": 0.968017578125}, {"start": 354.57, "end": 354.73, "word": " من", "probability": 0.84326171875}, {"start": 354.73, "end": 355.39, "word": " الاختبارات", "probability": 0.844921875}, {"start": 355.39, "end": 356.05, "word": " الستة", "probability": 0.8395182291666666}, {"start": 356.05, "end": 357.05, "word": " والتلاتة", "probability": 0.873046875}, {"start": 357.05, "end": 357.19, "word": " ال", "probability": 0.428955078125}, {"start": 357.19, "end": 357.39, "word": " series", "probability": 0.708984375}, {"start": 357.39, "end": 358.21, "word": " المشهورة", "probability": 0.990625}, {"start": 358.21, "end": 358.61, "word": " بقول", "probability": 0.925048828125}, {"start": 358.61, "end": 358.77, "word": " ال", "probability": 0.87255859375}, {"start": 358.77, "end": 358.99, "word": " series", "probability": 0.95703125}, {"start": 358.99, "end": 359.37, "word": " عندي", "probability": 0.5810546875}, {"start": 359.37, "end": 360.03, "word": " converge", "probability": 0.430419921875}, {"start": 360.03, "end": 360.85, "word": " absolutely", "probability": 0.6484375}, {"start": 360.85, "end": 362.25, "word": " للأصلية", "probability": 0.80224609375}, {"start": 362.25, "end": 363.03, "word": " طيب", "probability": 0.7178548177083334}, {"start": 363.03, "end": 363.31, "word": " إذا", "probability": 0.9306640625}, {"start": 363.31, "end": 363.45, "word": " ال", "probability": 0.91845703125}, {"start": 363.45, "end": 363.67, "word": " series", "probability": 0.94677734375}, {"start": 363.67, "end": 363.83, "word": " of", "probability": 0.97412109375}, {"start": 363.83, "end": 364.23, "word": " absolute", "probability": 0.9443359375}, {"start": 364.23, "end": 364.73, "word": " values", "probability": 0.93701171875}, {"start": 364.73, "end": 366.11, "word": " دايفيرت", "probability": 0.4214599609375}, {"start": 366.11, "end": 366.61, "word": " أقول", "probability": 0.81591796875}, {"start": 366.61, "end": 366.79, "word": " ال", "probability": 0.86669921875}, {"start": 366.79, "end": 367.31, "word": " alternative", "probability": 0.288818359375}, {"start": 367.31, "end": 367.91, "word": " للأصلية", "probability": 0.73260498046875}, {"start": 367.91, "end": 368.57, "word": " دايفيرت", "probability": 0.782275390625}, {"start": 368.57, "end": 369.03, "word": " بقوله", "probability": 0.8015950520833334}, {"start": 369.03, "end": 369.19, "word": " لا", "probability": 0.74169921875}, {"start": 369.19, "end": 369.35, "word": " لا", "probability": 0.88330078125}, {"start": 369.35, "end": 369.55, "word": " لا", "probability": 0.521484375}, {"start": 369.55, "end": 369.99, "word": " استنى", "probability": 0.7334798177083334}, {"start": 369.99, "end": 370.53, "word": " شوية", "probability": 0.9347330729166666}, {"start": 370.53, "end": 371.49, "word": " بروح", "probability": 0.7632649739583334}, {"start": 371.49, "end": 371.73, "word": " على", "probability": 0.94189453125}, {"start": 371.73, "end": 372.27, "word": " الشروط", "probability": 0.9490559895833334}, {"start": 372.27, "end": 372.91, "word": " التلاتة", "probability": 0.9674072265625}, {"start": 372.91, "end": 373.29, "word": " إذا", "probability": 0.971435546875}, {"start": 373.29, "end": 374.23, "word": " تحققت", "probability": 0.943603515625}, {"start": 374.23, "end": 375.03, "word": " الشروط", "probability": 0.9811197916666666}, {"start": 375.03, "end": 376.31, "word": " التلاتة", "probability": 0.98388671875}, {"start": 376.31, "end": 376.85, "word": " في", "probability": 0.96484375}, {"start": 376.85, "end": 377.19, "word": " آن", "probability": 0.66015625}, {"start": 377.19, "end": 377.75, "word": " واحد", "probability": 0.981689453125}], "temperature": 1.0}, {"id": 17, "seek": 40051, "start": 377.95, "end": 400.51, "text": "بقول ال series converge conditionally طيب إذا الشرط التالت لم يتحقق بقول يبقى ال series اللي لنا مالها diverse تمام؟ طب السؤال هو هل ضروري ترتيب الشروط التلاتة واحد اتنين تلاتة بالترتيب؟ و الله ممكن اروح الشرط التالت دغري", "tokens": [3555, 39648, 2423, 2638, 41881, 4188, 379, 23032, 1829, 3555, 11933, 15730, 25124, 2288, 9566, 16712, 6027, 2655, 32767, 7251, 2655, 5016, 4587, 4587, 4724, 39648, 7251, 3555, 4587, 7578, 2423, 2638, 13672, 1829, 5296, 8315, 3714, 6027, 11296, 9521, 46811, 10943, 22807, 23032, 3555, 21136, 33604, 6027, 31439, 8032, 1211, 48812, 2288, 13063, 1829, 6055, 2288, 31371, 3555, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 36764, 24401, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 20666, 2655, 2288, 31371, 3555, 22807, 4032, 21984, 3714, 43020, 1975, 32887, 5016, 25124, 2288, 9566, 16712, 6027, 2655, 11778, 17082, 16572], "avg_logprob": -0.14670138347028483, "compression_ratio": 1.775609756097561, "no_speech_prob": 0.0, "words": [{"start": 377.95, "end": 378.47, "word": "بقول", "probability": 0.746826171875}, {"start": 378.47, "end": 378.65, "word": " ال", "probability": 0.76171875}, {"start": 378.65, "end": 378.89, "word": " series", "probability": 0.8056640625}, {"start": 378.89, "end": 380.19, "word": " converge", "probability": 0.931640625}, {"start": 380.19, "end": 382.29, "word": " conditionally", "probability": 0.882080078125}, {"start": 382.29, "end": 383.15, "word": " طيب", "probability": 0.8209635416666666}, {"start": 383.15, "end": 383.71, "word": " إذا", "probability": 0.815185546875}, {"start": 383.71, "end": 384.27, "word": " الشرط", "probability": 0.9773763020833334}, {"start": 384.27, "end": 384.95, "word": " التالت", "probability": 0.96630859375}, {"start": 384.95, "end": 385.31, "word": " لم", "probability": 0.9677734375}, {"start": 385.31, "end": 386.71, "word": " يتحقق", "probability": 0.99658203125}, {"start": 386.71, "end": 387.51, "word": " بقول", "probability": 0.84521484375}, {"start": 387.51, "end": 387.85, "word": " يبقى", "probability": 0.9794921875}, {"start": 387.85, "end": 387.99, "word": " ال", "probability": 0.95703125}, {"start": 387.99, "end": 388.21, "word": " series", "probability": 0.94140625}, {"start": 388.21, "end": 388.41, "word": " اللي", "probability": 0.93017578125}, {"start": 388.41, "end": 388.61, "word": " لنا", "probability": 0.52490234375}, {"start": 388.61, "end": 389.19, "word": " مالها", "probability": 0.8815104166666666}, {"start": 389.19, "end": 390.19, "word": " diverse", "probability": 0.6455078125}, {"start": 390.19, "end": 391.59, "word": " تمام؟", "probability": 0.6756184895833334}, {"start": 391.59, "end": 391.73, "word": " طب", "probability": 0.75146484375}, {"start": 391.73, "end": 392.21, "word": " السؤال", "probability": 0.9934895833333334}, {"start": 392.21, "end": 392.55, "word": " هو", "probability": 0.99267578125}, {"start": 392.55, "end": 393.61, "word": " هل", "probability": 0.930908203125}, {"start": 393.61, "end": 394.33, "word": " ضروري", "probability": 0.84307861328125}, {"start": 394.33, "end": 394.87, "word": " ترتيب", "probability": 0.921875}, {"start": 394.87, "end": 395.35, "word": " الشروط", "probability": 0.9514973958333334}, {"start": 395.35, "end": 395.91, "word": " التلاتة", "probability": 0.906982421875}, {"start": 395.91, "end": 396.39, "word": " واحد", "probability": 0.810791015625}, {"start": 396.39, "end": 396.85, "word": " اتنين", "probability": 0.966796875}, {"start": 396.85, "end": 397.57, "word": " تلاتة", "probability": 0.9681396484375}, {"start": 397.57, "end": 398.49, "word": " بالترتيب؟", "probability": 0.87744140625}, {"start": 398.49, "end": 398.53, "word": " و", "probability": 0.494873046875}, {"start": 398.53, "end": 398.67, "word": " الله", "probability": 0.8994140625}, {"start": 398.67, "end": 398.97, "word": " ممكن", "probability": 0.986572265625}, {"start": 398.97, "end": 399.23, "word": " اروح", "probability": 0.8351236979166666}, {"start": 399.23, "end": 399.61, "word": " الشرط", "probability": 0.93212890625}, {"start": 399.61, "end": 400.03, "word": " التالت", "probability": 0.9934895833333334}, {"start": 400.03, "end": 400.51, "word": " دغري", "probability": 0.75244140625}], "temperature": 1.0}, {"id": 18, "seek": 41758, "start": 401.2, "end": 417.58, "text": "ممكن على الشرط التالت دقري، إذا الشرط التالت لم يتحقق، مافيش داعي أدور على الشرطين الأثنين هدولك، لكن إذا اتحقق الشرط التالت، بتروح أدور على مين؟ على الشرطين الأثنين التانية طيب، واحد حيسن السؤال التالي", "tokens": [2304, 43020, 15844, 25124, 2288, 9566, 16712, 6027, 2655, 11778, 4587, 16572, 12399, 11933, 15730, 25124, 2288, 9566, 16712, 6027, 2655, 32767, 7251, 2655, 5016, 4587, 4587, 12399, 19446, 41185, 8592, 11778, 45761, 1829, 5551, 3215, 13063, 15844, 25124, 2288, 9566, 9957, 16247, 12984, 1863, 9957, 8032, 3215, 12610, 4117, 12399, 44381, 11933, 15730, 1975, 2655, 5016, 4587, 4587, 25124, 2288, 9566, 16712, 6027, 2655, 12399, 39894, 32887, 5016, 5551, 3215, 13063, 15844, 3714, 9957, 22807, 15844, 25124, 2288, 9566, 9957, 16247, 12984, 1863, 9957, 16712, 7649, 10632, 23032, 1829, 3555, 12399, 36764, 24401, 11331, 1829, 3794, 1863, 21136, 33604, 6027, 16712, 6027, 1829], "avg_logprob": -0.17127975849878221, "compression_ratio": 2.242424242424242, "no_speech_prob": 0.0, "words": [{"start": 401.2, "end": 401.62, "word": "ممكن", "probability": 0.77685546875}, {"start": 401.62, "end": 401.8, "word": " على", "probability": 0.52783203125}, {"start": 401.8, "end": 402.08, "word": " الشرط", "probability": 0.9544270833333334}, {"start": 402.08, "end": 402.48, "word": " التالت", "probability": 0.859375}, {"start": 402.48, "end": 403.18, "word": " دقري،", "probability": 0.524017333984375}, {"start": 403.18, "end": 403.4, "word": " إذا", "probability": 0.82666015625}, {"start": 403.4, "end": 403.8, "word": " الشرط", "probability": 0.9737955729166666}, {"start": 403.8, "end": 404.32, "word": " التالت", "probability": 0.9866536458333334}, {"start": 404.32, "end": 404.58, "word": " لم", "probability": 0.96826171875}, {"start": 404.58, "end": 405.38, "word": " يتحقق،", "probability": 0.9205729166666666}, {"start": 405.38, "end": 405.78, "word": " مافيش", "probability": 0.8660481770833334}, {"start": 405.78, "end": 406.12, "word": " داعي", "probability": 0.8759765625}, {"start": 406.12, "end": 406.36, "word": " أدور", "probability": 0.7853190104166666}, {"start": 406.36, "end": 406.48, "word": " على", "probability": 0.85888671875}, {"start": 406.48, "end": 406.96, "word": " الشرطين", "probability": 0.9564208984375}, {"start": 406.96, "end": 407.34, "word": " الأثنين", "probability": 0.82537841796875}, {"start": 407.34, "end": 408.28, "word": " هدولك،", "probability": 0.737109375}, {"start": 408.28, "end": 408.52, "word": " لكن", "probability": 0.97998046875}, {"start": 408.52, "end": 408.8, "word": " إذا", "probability": 0.977783203125}, {"start": 408.8, "end": 409.38, "word": " اتحقق", "probability": 0.87607421875}, {"start": 409.38, "end": 409.76, "word": " الشرط", "probability": 0.9562174479166666}, {"start": 409.76, "end": 410.2, "word": " التالت،", "probability": 0.8680419921875}, {"start": 410.2, "end": 410.5, "word": " بتروح", "probability": 0.8748372395833334}, {"start": 410.5, "end": 410.84, "word": " أدور", "probability": 0.9469401041666666}, {"start": 410.84, "end": 411.04, "word": " على", "probability": 0.91943359375}, {"start": 411.04, "end": 411.84, "word": " مين؟", "probability": 0.89697265625}, {"start": 411.84, "end": 412.28, "word": " على", "probability": 0.88134765625}, {"start": 412.28, "end": 413.02, "word": " الشرطين", "probability": 0.9864501953125}, {"start": 413.02, "end": 413.82, "word": " الأثنين", "probability": 0.9537353515625}, {"start": 413.82, "end": 414.48, "word": " التانية", "probability": 0.83740234375}, {"start": 414.48, "end": 415.48, "word": " طيب،", "probability": 0.78033447265625}, {"start": 415.48, "end": 415.9, "word": " واحد", "probability": 0.96630859375}, {"start": 415.9, "end": 416.38, "word": " حيسن", "probability": 0.745849609375}, {"start": 416.38, "end": 417.04, "word": " السؤال", "probability": 0.91796875}, {"start": 417.04, "end": 417.58, "word": " التالي", "probability": 0.8640950520833334}], "temperature": 1.0}, {"id": 19, "seek": 44461, "start": 418.73, "end": 444.61, "text": "هيقول ليش الشرط التالت إذا لم يتحقق ف ال series diverge لكن الشرطين الأولين يعني شو أخبارهم مش هذا سؤال بنقولك بسيطة احنا لما قلنا إذا لم يتحقق الشرط التالت ف ال series diverge روحت استخدمت أحد الاختبارات وهو اختبار الحد النوني فحكمت automatic بصمت ان ال series هذه مالها diverge", "tokens": [3224, 1829, 39648, 32239, 8592, 25124, 2288, 9566, 16712, 6027, 2655, 11933, 15730, 32767, 7251, 2655, 5016, 4587, 4587, 6156, 2423, 2638, 18558, 432, 44381, 25124, 2288, 9566, 9957, 16247, 12610, 9957, 37495, 22653, 13412, 2407, 5551, 9778, 3555, 9640, 16095, 37893, 23758, 8608, 33604, 6027, 44945, 39648, 4117, 4724, 3794, 1829, 9566, 3660, 1975, 5016, 8315, 5296, 15042, 12174, 1211, 8315, 11933, 15730, 32767, 7251, 2655, 5016, 4587, 4587, 25124, 2288, 9566, 16712, 6027, 2655, 6156, 2423, 2638, 18558, 432, 12602, 2407, 33753, 44713, 9778, 40448, 2655, 5551, 24401, 2423, 47283, 2655, 3555, 9640, 9307, 37037, 2407, 1975, 46456, 3555, 9640, 21542, 3215, 28239, 11536, 1829, 6156, 5016, 24793, 2655, 12509, 4724, 9381, 2304, 2655, 16472, 2423, 2638, 29538, 19446, 1211, 11296, 18558, 432], "avg_logprob": -0.20833332682885822, "compression_ratio": 1.9409282700421941, "no_speech_prob": 0.0, "words": [{"start": 418.73, "end": 419.23, "word": "هيقول", "probability": 0.6792805989583334}, {"start": 419.23, "end": 419.71, "word": " ليش", "probability": 0.647216796875}, {"start": 419.71, "end": 420.25, "word": " الشرط", "probability": 0.9521484375}, {"start": 420.25, "end": 420.77, "word": " التالت", "probability": 0.9744466145833334}, {"start": 420.77, "end": 421.05, "word": " إذا", "probability": 0.78759765625}, {"start": 421.05, "end": 421.19, "word": " لم", "probability": 0.97314453125}, {"start": 421.19, "end": 421.71, "word": " يتحقق", "probability": 0.9919921875}, {"start": 421.71, "end": 421.85, "word": " ف", "probability": 0.8935546875}, {"start": 421.85, "end": 422.03, "word": " ال", "probability": 0.49658203125}, {"start": 422.03, "end": 422.25, "word": " series", "probability": 0.861328125}, {"start": 422.25, "end": 422.95, "word": " diverge", "probability": 0.45269775390625}, {"start": 422.95, "end": 423.41, "word": " لكن", "probability": 0.6279296875}, {"start": 423.41, "end": 424.11, "word": " الشرطين", "probability": 0.9234619140625}, {"start": 424.11, "end": 424.91, "word": " الأولين", "probability": 0.84130859375}, {"start": 424.91, "end": 425.23, "word": " يعني", "probability": 0.555419921875}, {"start": 425.23, "end": 425.43, "word": " شو", "probability": 0.864990234375}, {"start": 425.43, "end": 426.23, "word": " أخبارهم", "probability": 0.95849609375}, {"start": 426.23, "end": 426.79, "word": " مش", "probability": 0.26953125}, {"start": 426.79, "end": 426.97, "word": " هذا", "probability": 0.638671875}, {"start": 426.97, "end": 427.49, "word": " سؤال", "probability": 0.9837239583333334}, {"start": 427.49, "end": 428.45, "word": " بنقولك", "probability": 0.682861328125}, {"start": 428.45, "end": 429.11, "word": " بسيطة", "probability": 0.9873046875}, {"start": 429.11, "end": 429.49, "word": " احنا", "probability": 0.8699544270833334}, {"start": 429.49, "end": 429.75, "word": " لما", "probability": 0.96435546875}, {"start": 429.75, "end": 430.27, "word": " قلنا", "probability": 0.8125}, {"start": 430.27, "end": 430.89, "word": " إذا", "probability": 0.832275390625}, {"start": 430.89, "end": 431.13, "word": " لم", "probability": 0.97216796875}, {"start": 431.13, "end": 431.91, "word": " يتحقق", "probability": 0.997265625}, {"start": 431.91, "end": 432.41, "word": " الشرط", "probability": 0.9856770833333334}, {"start": 432.41, "end": 433.01, "word": " التالت", "probability": 0.9886067708333334}, {"start": 433.01, "end": 433.21, "word": " ف", "probability": 0.9912109375}, {"start": 433.21, "end": 433.43, "word": " ال", "probability": 0.6728515625}, {"start": 433.43, "end": 433.77, "word": " series", "probability": 0.947265625}, {"start": 433.77, "end": 434.45, "word": " diverge", "probability": 0.8984375}, {"start": 434.45, "end": 434.83, "word": " روحت", "probability": 0.9080403645833334}, {"start": 434.83, "end": 435.75, "word": " استخدمت", "probability": 0.9112548828125}, {"start": 435.75, "end": 436.13, "word": " أحد", "probability": 0.88330078125}, {"start": 436.13, "end": 437.07, "word": " الاختبارات", "probability": 0.881103515625}, {"start": 437.07, "end": 437.63, "word": " وهو", "probability": 0.849853515625}, {"start": 437.63, "end": 438.17, "word": " اختبار", "probability": 0.968505859375}, {"start": 438.17, "end": 438.65, "word": " الحد", "probability": 0.902099609375}, {"start": 438.65, "end": 439.35, "word": " النوني", "probability": 0.7928059895833334}, {"start": 439.35, "end": 440.35, "word": " فحكمت", "probability": 0.9312744140625}, {"start": 440.35, "end": 441.03, "word": " automatic", "probability": 0.62890625}, {"start": 441.03, "end": 441.77, "word": " بصمت", "probability": 0.8922119140625}, {"start": 441.77, "end": 442.01, "word": " ان", "probability": 0.388671875}, {"start": 442.01, "end": 442.17, "word": " ال", "probability": 0.4453125}, {"start": 442.17, "end": 442.41, "word": " series", "probability": 0.9248046875}, {"start": 442.41, "end": 442.69, "word": " هذه", "probability": 0.274658203125}, {"start": 442.69, "end": 443.13, "word": " مالها", "probability": 0.7289225260416666}, {"start": 443.13, "end": 444.61, "word": " diverge", "probability": 0.6221923828125}], "temperature": 1.0}, {"id": 20, "seek": 47367, "start": 444.81, "end": 473.67, "text": "لكن لو لم يتحقق الشرط الأول أو الشرط الثاني في عندي قاعدة بتحكم هل ال students converge ولا diverge؟ ماعنديش وبالتالي الشرط الأول في في يعني خليني أقولك تسعة وتسعين وشلة تسعات زي الانتخابات العربية كلها بتطلع اه الشرط الأول محقق automatic الشرط التاني بده فحص إما بواسط الاشتقاء", "tokens": [1211, 19452, 45164, 32767, 7251, 2655, 5016, 4587, 4587, 25124, 2288, 9566, 16247, 12610, 34051, 25124, 2288, 9566, 6024, 104, 7649, 1829, 8978, 18871, 16254, 12174, 995, 22488, 3660, 39894, 5016, 24793, 8032, 1211, 2423, 1731, 41881, 49429, 18558, 432, 22807, 19446, 3615, 1863, 16254, 8592, 46599, 6027, 2655, 6027, 1829, 25124, 2288, 9566, 16247, 12610, 8978, 8978, 37495, 22653, 16490, 1211, 9957, 1829, 5551, 39648, 4117, 6055, 3794, 27884, 34683, 3794, 3615, 9957, 4032, 8592, 37977, 6055, 3794, 3615, 9307, 30767, 1829, 2423, 7649, 2655, 9778, 16758, 9307, 18863, 25513, 10632, 28242, 11296, 39894, 9566, 1211, 3615, 1975, 3224, 25124, 2288, 9566, 16247, 12610, 3714, 5016, 4587, 4587, 12509, 25124, 2288, 9566, 16712, 7649, 1829, 47525, 3224, 6156, 5016, 9381, 11933, 15042, 4724, 14407, 3794, 9566, 2423, 33599, 2655, 4587, 16606], "avg_logprob": -0.1533129753026747, "compression_ratio": 1.8964143426294822, "no_speech_prob": 0.0, "words": [{"start": 444.81, "end": 445.23, "word": "لكن", "probability": 0.76123046875}, {"start": 445.23, "end": 445.47, "word": " لو", "probability": 0.8369140625}, {"start": 445.47, "end": 445.67, "word": " لم", "probability": 0.96337890625}, {"start": 445.67, "end": 446.41, "word": " يتحقق", "probability": 0.8720703125}, {"start": 446.41, "end": 446.95, "word": " الشرط", "probability": 0.9708658854166666}, {"start": 446.95, "end": 447.53, "word": " الأول", "probability": 0.967529296875}, {"start": 447.53, "end": 447.93, "word": " أو", "probability": 0.689453125}, {"start": 447.93, "end": 448.67, "word": " الشرط", "probability": 0.9855143229166666}, {"start": 448.67, "end": 449.35, "word": " الثاني", "probability": 0.96630859375}, {"start": 449.35, "end": 450.01, "word": " في", "probability": 0.46630859375}, {"start": 450.01, "end": 450.53, "word": " عندي", "probability": 0.897705078125}, {"start": 450.53, "end": 451.07, "word": " قاعدة", "probability": 0.97607421875}, {"start": 451.07, "end": 451.57, "word": " بتحكم", "probability": 0.962890625}, {"start": 451.57, "end": 451.77, "word": " هل", "probability": 0.883056640625}, {"start": 451.77, "end": 451.89, "word": " ال", "probability": 0.953125}, {"start": 451.89, "end": 452.07, "word": " students", "probability": 0.09197998046875}, {"start": 452.07, "end": 452.67, "word": " converge", "probability": 0.9716796875}, {"start": 452.67, "end": 452.87, "word": " ولا", "probability": 0.478515625}, {"start": 452.87, "end": 453.71, "word": " diverge؟", "probability": 0.6471354166666666}, {"start": 453.71, "end": 454.69, "word": " ماعنديش", "probability": 0.794775390625}, {"start": 454.69, "end": 456.25, "word": " وبالتالي", "probability": 0.91982421875}, {"start": 456.25, "end": 457.15, "word": " الشرط", "probability": 0.97216796875}, {"start": 457.15, "end": 457.65, "word": " الأول", "probability": 0.98583984375}, {"start": 457.65, "end": 458.03, "word": " في", "probability": 0.96435546875}, {"start": 458.03, "end": 458.75, "word": " في", "probability": 0.384033203125}, {"start": 458.75, "end": 459.29, "word": " يعني", "probability": 0.9462890625}, {"start": 459.29, "end": 460.11, "word": " خليني", "probability": 0.8858642578125}, {"start": 460.11, "end": 460.55, "word": " أقولك", "probability": 0.9099934895833334}, {"start": 460.55, "end": 460.95, "word": " تسعة", "probability": 0.8870442708333334}, {"start": 460.95, "end": 461.83, "word": " وتسعين", "probability": 0.8848876953125}, {"start": 461.83, "end": 462.61, "word": " وشلة", "probability": 0.8372395833333334}, {"start": 462.61, "end": 463.19, "word": " تسعات", "probability": 0.78857421875}, {"start": 463.19, "end": 463.31, "word": " زي", "probability": 0.910888671875}, {"start": 463.31, "end": 463.97, "word": " الانتخابات", "probability": 0.973876953125}, {"start": 463.97, "end": 464.67, "word": " العربية", "probability": 0.9527994791666666}, {"start": 464.67, "end": 465.55, "word": " كلها", "probability": 0.861328125}, {"start": 465.55, "end": 466.03, "word": " بتطلع", "probability": 0.951416015625}, {"start": 466.03, "end": 466.59, "word": " اه", "probability": 0.6259765625}, {"start": 466.59, "end": 467.43, "word": " الشرط", "probability": 0.9646809895833334}, {"start": 467.43, "end": 467.95, "word": " الأول", "probability": 0.9833984375}, {"start": 467.95, "end": 468.97, "word": " محقق", "probability": 0.9832763671875}, {"start": 468.97, "end": 469.65, "word": " automatic", "probability": 0.74609375}, {"start": 469.65, "end": 470.95, "word": " الشرط", "probability": 0.9786783854166666}, {"start": 470.95, "end": 471.39, "word": " التاني", "probability": 0.9498697916666666}, {"start": 471.39, "end": 471.75, "word": " بده", "probability": 0.917724609375}, {"start": 471.75, "end": 472.15, "word": " فحص", "probability": 0.9908854166666666}, {"start": 472.15, "end": 472.47, "word": " إما", "probability": 0.6912841796875}, {"start": 472.47, "end": 473.01, "word": " بواسط", "probability": 0.957275390625}, {"start": 473.01, "end": 473.67, "word": " الاشتقاء", "probability": 0.8392578125}], "temperature": 1.0}, {"id": 21, "seek": 50058, "start": 473.98, "end": 500.58, "text": "أو المقارنة بين الحد النوني والحد النوني زائد واحد ومن خلاله هنحكم على هذي ال series هل هي converge او diverge قبل ان احل الأمثلة عشان اتركز معايا كويس انا بدي ابحث ال series هذي converge و لا diverge بعمل ما يأتي باخد ال series with absolute values طلعت converge بقول converge absolutely طلعت diverge بقول استنى شوية بروح على الشروط التلاتة", "tokens": [10721, 2407, 9673, 4587, 9640, 1863, 3660, 49374, 21542, 3215, 28239, 11536, 1829, 16070, 24401, 28239, 11536, 1829, 30767, 16373, 3215, 36764, 24401, 4032, 27842, 16490, 1211, 6027, 3224, 8032, 1863, 5016, 24793, 15844, 8032, 8848, 1829, 2423, 2638, 8032, 1211, 39896, 41881, 1975, 2407, 18558, 432, 12174, 36150, 16472, 1975, 5016, 1211, 16247, 2304, 12984, 37977, 6225, 8592, 7649, 1975, 2655, 31747, 11622, 20449, 995, 25528, 9122, 45865, 3794, 1975, 8315, 4724, 16254, 48127, 5016, 12984, 2423, 2638, 8032, 8848, 1829, 41881, 4032, 20193, 18558, 432, 4724, 25957, 1211, 19446, 7251, 10721, 31371, 4724, 47283, 3215, 2423, 2638, 365, 8236, 4190, 23032, 1211, 34268, 41881, 4724, 39648, 41881, 3122, 23032, 1211, 34268, 18558, 432, 4724, 39648, 44713, 1863, 7578, 13412, 2407, 10632, 4724, 32887, 5016, 15844, 25124, 32887, 9566, 16712, 1211, 9307, 3660], "avg_logprob": -0.23495370546976727, "compression_ratio": 1.8776978417266188, "no_speech_prob": 0.0, "words": [{"start": 473.98, "end": 474.38, "word": "أو", "probability": 0.6551513671875}, {"start": 474.38, "end": 475.0, "word": " المقارنة", "probability": 0.9509765625}, {"start": 475.0, "end": 475.16, "word": " بين", "probability": 0.57568359375}, {"start": 475.16, "end": 475.56, "word": " الحد", "probability": 0.962158203125}, {"start": 475.56, "end": 475.96, "word": " النوني", "probability": 0.7024739583333334}, {"start": 475.96, "end": 476.34, "word": " والحد", "probability": 0.772705078125}, {"start": 476.34, "end": 476.94, "word": " النوني", "probability": 0.8662109375}, {"start": 476.94, "end": 477.66, "word": " زائد", "probability": 0.5415445963541666}, {"start": 477.66, "end": 477.92, "word": " واحد", "probability": 0.927490234375}, {"start": 477.92, "end": 478.18, "word": " ومن", "probability": 0.829833984375}, {"start": 478.18, "end": 478.62, "word": " خلاله", "probability": 0.8875732421875}, {"start": 478.62, "end": 479.14, "word": " هنحكم", "probability": 0.6693115234375}, {"start": 479.14, "end": 479.36, "word": " على", "probability": 0.7255859375}, {"start": 479.36, "end": 479.64, "word": " هذي", "probability": 0.5384114583333334}, {"start": 479.64, "end": 479.74, "word": " ال", "probability": 0.77001953125}, {"start": 479.74, "end": 480.06, "word": " series", "probability": 0.80078125}, {"start": 480.06, "end": 480.7, "word": " هل", "probability": 0.965576171875}, {"start": 480.7, "end": 480.9, "word": " هي", "probability": 0.79296875}, {"start": 480.9, "end": 481.3, "word": " converge", "probability": 0.7236328125}, {"start": 481.3, "end": 482.42, "word": " او", "probability": 0.86767578125}, {"start": 482.42, "end": 483.28, "word": " diverge", "probability": 0.73095703125}, {"start": 483.28, "end": 484.14, "word": " قبل", "probability": 0.6268310546875}, {"start": 484.14, "end": 484.4, "word": " ان", "probability": 0.5078125}, {"start": 484.4, "end": 484.68, "word": " احل", "probability": 0.8419596354166666}, {"start": 484.68, "end": 485.34, "word": " الأمثلة", "probability": 0.934326171875}, {"start": 485.34, "end": 486.2, "word": " عشان", "probability": 0.6322021484375}, {"start": 486.2, "end": 486.66, "word": " اتركز", "probability": 0.7664794921875}, {"start": 486.66, "end": 486.9, "word": " معايا", "probability": 0.8201497395833334}, {"start": 486.9, "end": 487.42, "word": " كويس", "probability": 0.94970703125}, {"start": 487.42, "end": 487.88, "word": " انا", "probability": 0.85009765625}, {"start": 487.88, "end": 488.14, "word": " بدي", "probability": 0.467529296875}, {"start": 488.14, "end": 488.46, "word": " ابحث", "probability": 0.7985026041666666}, {"start": 488.46, "end": 488.62, "word": " ال", "probability": 0.67138671875}, {"start": 488.62, "end": 488.84, "word": " series", "probability": 0.92822265625}, {"start": 488.84, "end": 489.14, "word": " هذي", "probability": 0.9156901041666666}, {"start": 489.14, "end": 489.56, "word": " converge", "probability": 0.6181640625}, {"start": 489.56, "end": 489.68, "word": " و", "probability": 0.53515625}, {"start": 489.68, "end": 489.8, "word": " لا", "probability": 0.77392578125}, {"start": 489.8, "end": 490.26, "word": " diverge", "probability": 0.784423828125}, {"start": 490.26, "end": 490.62, "word": " بعمل", "probability": 0.87841796875}, {"start": 490.62, "end": 490.8, "word": " ما", "probability": 0.93505859375}, {"start": 490.8, "end": 491.2, "word": " يأتي", "probability": 0.8468424479166666}, {"start": 491.2, "end": 492.02, "word": " باخد", "probability": 0.91064453125}, {"start": 492.02, "end": 492.14, "word": " ال", "probability": 0.9697265625}, {"start": 492.14, "end": 492.34, "word": " series", "probability": 0.94921875}, {"start": 492.34, "end": 492.5, "word": " with", "probability": 0.2369384765625}, {"start": 492.5, "end": 492.9, "word": " absolute", "probability": 0.93115234375}, {"start": 492.9, "end": 493.42, "word": " values", "probability": 0.81982421875}, {"start": 493.42, "end": 494.22, "word": " طلعت", "probability": 0.9191080729166666}, {"start": 494.22, "end": 494.64, "word": " converge", "probability": 0.9453125}, {"start": 494.64, "end": 494.88, "word": " بقول", "probability": 0.910888671875}, {"start": 494.88, "end": 495.38, "word": " converge", "probability": 0.92822265625}, {"start": 495.38, "end": 496.18, "word": " absolutely", "probability": 0.71923828125}, {"start": 496.18, "end": 497.0, "word": " طلعت", "probability": 0.9798177083333334}, {"start": 497.0, "end": 497.42, "word": " diverge", "probability": 0.842529296875}, {"start": 497.42, "end": 497.7, "word": " بقول", "probability": 0.943359375}, {"start": 497.7, "end": 498.18, "word": " استنى", "probability": 0.8180338541666666}, {"start": 498.18, "end": 498.7, "word": " شوية", "probability": 0.9498697916666666}, {"start": 498.7, "end": 499.38, "word": " بروح", "probability": 0.95751953125}, {"start": 499.38, "end": 499.56, "word": " على", "probability": 0.89697265625}, {"start": 499.56, "end": 499.98, "word": " الشروط", "probability": 0.9103190104166666}, {"start": 499.98, "end": 500.58, "word": " التلاتة", "probability": 0.9534912109375}], "temperature": 1.0}, {"id": 22, "seek": 52846, "start": 500.76, "end": 528.46, "text": "تحقق الشروط التالتة بقول converge conditionally لم يتحقق الشرط التالت بقول الأصلية diverge وقلصنا كما الله المؤمنين قلت تعالى يبقى هدول ملخص الجزء النضري تبع ال section كله تمام؟ الكلام اللي اسمعته بدنا نروح نطبقه عاملين يبقى انا ميعطيني series وقاللي هل ال series هدى converge absolutely و الله converge conditionally و الله diverge بقوله تعالى نشوف", "tokens": [2655, 5016, 4587, 4587, 25124, 32887, 9566, 16712, 6027, 2655, 3660, 4724, 39648, 41881, 4188, 379, 32767, 7251, 2655, 5016, 4587, 4587, 25124, 2288, 9566, 16712, 6027, 2655, 4724, 39648, 16247, 36520, 10632, 18558, 432, 4032, 4587, 1211, 9381, 8315, 9122, 15042, 21984, 9673, 33604, 27842, 9957, 12174, 1211, 2655, 37279, 6027, 7578, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 3714, 1211, 9778, 9381, 25724, 11622, 38207, 28239, 11242, 16572, 6055, 3555, 3615, 2423, 3541, 28242, 3224, 46811, 10943, 22807, 2423, 28820, 10943, 13672, 1829, 24525, 2304, 34268, 3224, 47525, 8315, 8717, 32887, 5016, 8717, 9566, 3555, 4587, 3224, 6225, 10943, 1211, 9957, 7251, 3555, 4587, 7578, 1975, 8315, 3714, 40228, 9566, 9957, 1829, 2638, 4032, 4587, 6027, 20292, 8032, 1211, 2423, 2638, 8032, 3215, 7578, 41881, 3122, 4032, 21984, 41881, 4188, 379, 4032, 21984, 18558, 432, 4724, 39648, 3224, 37279, 6027, 7578, 8717, 8592, 38688], "avg_logprob": -0.24511054158210754, "compression_ratio": 1.974910394265233, "no_speech_prob": 0.0, "words": [{"start": 500.76, "end": 501.36, "word": "تحقق", "probability": 0.8468017578125}, {"start": 501.36, "end": 501.84, "word": " الشروط", "probability": 0.7443033854166666}, {"start": 501.84, "end": 502.32, "word": " التالتة", "probability": 0.8006591796875}, {"start": 502.32, "end": 502.56, "word": " بقول", "probability": 0.8564453125}, {"start": 502.56, "end": 503.0, "word": " converge", "probability": 0.93408203125}, {"start": 503.0, "end": 504.62, "word": " conditionally", "probability": 0.88916015625}, {"start": 504.62, "end": 505.3, "word": " لم", "probability": 0.70068359375}, {"start": 505.3, "end": 505.88, "word": " يتحقق", "probability": 0.98876953125}, {"start": 505.88, "end": 506.2, "word": " الشرط", "probability": 0.9080403645833334}, {"start": 506.2, "end": 506.58, "word": " التالت", "probability": 0.9674479166666666}, {"start": 506.58, "end": 506.9, "word": " بقول", "probability": 0.960205078125}, {"start": 506.9, "end": 507.52, "word": " الأصلية", "probability": 0.71923828125}, {"start": 507.52, "end": 507.94, "word": " diverge", "probability": 0.6085205078125}, {"start": 507.94, "end": 508.4, "word": " وقلصنا", "probability": 0.64384765625}, {"start": 508.4, "end": 508.62, "word": " كما", "probability": 0.4166259765625}, {"start": 508.62, "end": 508.88, "word": " الله", "probability": 0.7841796875}, {"start": 508.88, "end": 509.36, "word": " المؤمنين", "probability": 0.7498779296875}, {"start": 509.36, "end": 509.64, "word": " قلت", "probability": 0.4939778645833333}, {"start": 509.64, "end": 509.92, "word": " تعالى", "probability": 0.7120361328125}, {"start": 509.92, "end": 510.66, "word": " يبقى", "probability": 0.921630859375}, {"start": 510.66, "end": 511.04, "word": " هدول", "probability": 0.8642578125}, {"start": 511.04, "end": 512.02, "word": " ملخص", "probability": 0.980224609375}, {"start": 512.02, "end": 512.88, "word": " الجزء", "probability": 0.8174641927083334}, {"start": 512.88, "end": 513.28, "word": " النضري", "probability": 0.62158203125}, {"start": 513.28, "end": 513.6, "word": " تبع", "probability": 0.8961588541666666}, {"start": 513.6, "end": 513.76, "word": " ال", "probability": 0.84912109375}, {"start": 513.76, "end": 514.18, "word": " section", "probability": 0.837890625}, {"start": 514.18, "end": 515.12, "word": " كله", "probability": 0.98046875}, {"start": 515.12, "end": 516.0, "word": " تمام؟", "probability": 0.6221516927083334}, {"start": 516.0, "end": 516.74, "word": " الكلام", "probability": 0.95068359375}, {"start": 516.74, "end": 516.86, "word": " اللي", "probability": 0.83740234375}, {"start": 516.86, "end": 517.36, "word": " اسمعته", "probability": 0.7431640625}, {"start": 517.36, "end": 517.58, "word": " بدنا", "probability": 0.83642578125}, {"start": 517.58, "end": 517.72, "word": " نروح", "probability": 0.9052734375}, {"start": 517.72, "end": 518.32, "word": " نطبقه", "probability": 0.9818359375}, {"start": 518.32, "end": 519.18, "word": " عاملين", "probability": 0.67547607421875}, {"start": 519.18, "end": 519.64, "word": " يبقى", "probability": 0.98095703125}, {"start": 519.64, "end": 519.92, "word": " انا", "probability": 0.7081298828125}, {"start": 519.92, "end": 520.54, "word": " ميعطيني", "probability": 0.744189453125}, {"start": 520.54, "end": 520.82, "word": " series", "probability": 0.6806640625}, {"start": 520.82, "end": 521.32, "word": " وقاللي", "probability": 0.7510986328125}, {"start": 521.32, "end": 521.56, "word": " هل", "probability": 0.962158203125}, {"start": 521.56, "end": 521.7, "word": " ال", "probability": 0.9501953125}, {"start": 521.7, "end": 522.0, "word": " series", "probability": 0.966796875}, {"start": 522.0, "end": 522.36, "word": " هدى", "probability": 0.766357421875}, {"start": 522.36, "end": 522.78, "word": " converge", "probability": 0.9501953125}, {"start": 522.78, "end": 523.74, "word": " absolutely", "probability": 0.68994140625}, {"start": 523.74, "end": 524.28, "word": " و", "probability": 0.4248046875}, {"start": 524.28, "end": 524.44, "word": " الله", "probability": 0.92431640625}, {"start": 524.44, "end": 525.0, "word": " converge", "probability": 0.97705078125}, {"start": 525.0, "end": 525.88, "word": " conditionally", "probability": 0.941650390625}, {"start": 525.88, "end": 526.06, "word": " و", "probability": 0.95947265625}, {"start": 526.06, "end": 526.3, "word": " الله", "probability": 0.81689453125}, {"start": 526.3, "end": 527.04, "word": " diverge", "probability": 0.686279296875}, {"start": 527.04, "end": 527.64, "word": " بقوله", "probability": 0.70947265625}, {"start": 527.64, "end": 528.06, "word": " تعالى", "probability": 0.9816080729166666}, {"start": 528.06, "end": 528.46, "word": " نشوف", "probability": 0.9921875}], "temperature": 1.0}, {"id": 23, "seek": 54202, "start": 528.64, "end": 542.02, "text": "يبقى بدي أبدأ بالخطوة الأولى بدي أخد the series of absolute values فبجي بقول له solution the series of", "tokens": [1829, 3555, 4587, 7578, 4724, 16254, 5551, 44510, 10721, 20666, 9778, 9566, 2407, 3660, 16247, 12610, 7578, 4724, 16254, 5551, 9778, 3215, 264, 2638, 295, 8236, 4190, 6156, 3555, 7435, 1829, 4724, 39648, 46740, 3827, 264, 2638, 295], "avg_logprob": -0.3299278892003573, "compression_ratio": 1.3396226415094339, "no_speech_prob": 0.0, "words": [{"start": 528.64, "end": 529.06, "word": "يبقى", "probability": 0.6121673583984375}, {"start": 529.06, "end": 529.34, "word": " بدي", "probability": 0.6287841796875}, {"start": 529.34, "end": 529.74, "word": " أبدأ", "probability": 0.6863606770833334}, {"start": 529.74, "end": 530.48, "word": " بالخطوة", "probability": 0.89736328125}, {"start": 530.48, "end": 531.0, "word": " الأولى", "probability": 0.9864908854166666}, {"start": 531.0, "end": 531.26, "word": " بدي", "probability": 0.75927734375}, {"start": 531.26, "end": 531.62, "word": " أخد", "probability": 0.8045247395833334}, {"start": 531.62, "end": 531.78, "word": " the", "probability": 0.31689453125}, {"start": 531.78, "end": 532.14, "word": " series", "probability": 0.92529296875}, {"start": 532.14, "end": 532.48, "word": " of", "probability": 0.9765625}, {"start": 532.48, "end": 533.16, "word": " absolute", "probability": 0.931640625}, {"start": 533.16, "end": 534.0, "word": " values", "probability": 0.92041015625}, {"start": 534.0, "end": 534.86, "word": " فبجي", "probability": 0.7218017578125}, {"start": 534.86, "end": 535.2, "word": " بقول", "probability": 0.970458984375}, {"start": 535.2, "end": 535.36, "word": " له", "probability": 0.474853515625}, {"start": 535.36, "end": 536.38, "word": " solution", "probability": 0.94140625}, {"start": 536.38, "end": 539.02, "word": " the", "probability": 0.58056640625}, {"start": 539.02, "end": 539.86, "word": " series", "probability": 0.92529296875}, {"start": 539.86, "end": 542.02, "word": " of", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 24, "seek": 56680, "start": 544.41, "end": 566.81, "text": "absolute values is summation للأربعة to the power n تلتة to the power n plus one يعني هذه يا شباب هي عبارة عن summation لتلت في أربعة على تلتة كله to the power n", "tokens": [17243, 401, 1169, 4190, 307, 28811, 24976, 10721, 25513, 27884, 281, 264, 1347, 297, 6055, 1211, 2655, 3660, 281, 264, 1347, 297, 1804, 472, 37495, 22653, 29538, 35186, 13412, 3555, 16758, 39896, 6225, 3555, 9640, 3660, 18871, 28811, 5296, 2655, 1211, 2655, 8978, 5551, 25513, 27884, 15844, 6055, 1211, 2655, 3660, 28242, 3224, 281, 264, 1347, 297], "avg_logprob": -0.1390086176066563, "compression_ratio": 1.5357142857142858, "no_speech_prob": 0.0, "words": [{"start": 544.41, "end": 545.41, "word": "absolute", "probability": 0.744384765625}, {"start": 545.41, "end": 546.41, "word": " values", "probability": 0.904296875}, {"start": 546.41, "end": 547.31, "word": " is", "probability": 0.6796875}, {"start": 547.31, "end": 548.85, "word": " summation", "probability": 0.78515625}, {"start": 548.85, "end": 550.65, "word": " للأربعة", "probability": 0.72845458984375}, {"start": 550.65, "end": 550.91, "word": " to", "probability": 0.94287109375}, {"start": 550.91, "end": 551.15, "word": " the", "probability": 0.9169921875}, {"start": 551.15, "end": 551.65, "word": " power", "probability": 0.90673828125}, {"start": 551.65, "end": 552.15, "word": " n", "probability": 0.697265625}, {"start": 552.15, "end": 553.35, "word": " تلتة", "probability": 0.93798828125}, {"start": 553.35, "end": 553.59, "word": " to", "probability": 0.97119140625}, {"start": 553.59, "end": 553.81, "word": " the", "probability": 0.92236328125}, {"start": 553.81, "end": 554.23, "word": " power", "probability": 0.8896484375}, {"start": 554.23, "end": 554.65, "word": " n", "probability": 0.84130859375}, {"start": 554.65, "end": 555.17, "word": " plus", "probability": 0.859375}, {"start": 555.17, "end": 555.65, "word": " one", "probability": 0.94775390625}, {"start": 555.65, "end": 556.71, "word": " يعني", "probability": 0.796875}, {"start": 556.71, "end": 557.07, "word": " هذه", "probability": 0.5478515625}, {"start": 557.07, "end": 557.23, "word": " يا", "probability": 0.951171875}, {"start": 557.23, "end": 557.73, "word": " شباب", "probability": 0.9928385416666666}, {"start": 557.73, "end": 558.05, "word": " هي", "probability": 0.79833984375}, {"start": 558.05, "end": 558.61, "word": " عبارة", "probability": 0.9918212890625}, {"start": 558.61, "end": 558.99, "word": " عن", "probability": 0.99365234375}, {"start": 558.99, "end": 559.93, "word": " summation", "probability": 0.91650390625}, {"start": 559.93, "end": 562.07, "word": " لتلت", "probability": 0.895263671875}, {"start": 562.07, "end": 562.55, "word": " في", "probability": 0.92138671875}, {"start": 562.55, "end": 563.59, "word": " أربعة", "probability": 0.8982747395833334}, {"start": 563.59, "end": 564.15, "word": " على", "probability": 0.83544921875}, {"start": 564.15, "end": 564.99, "word": " تلتة", "probability": 0.989013671875}, {"start": 564.99, "end": 565.41, "word": " كله", "probability": 0.94384765625}, {"start": 565.41, "end": 565.57, "word": " to", "probability": 0.9755859375}, {"start": 565.57, "end": 565.83, "word": " the", "probability": 0.93408203125}, {"start": 565.83, "end": 566.35, "word": " power", "probability": 0.88818359375}, {"start": 566.35, "end": 566.81, "word": " n", "probability": 0.91748046875}], "temperature": 1.0}, {"id": 25, "seek": 58872, "start": 567.28, "end": 588.72, "text": "هذه عملتها تلاتة في تلاتة to the power n يبقى تلت في أربع على تلاتة to the power n السيريز هذه شو أخبارها عندكم الاساس تبعها أكبر من الواحد الصحيح يبقى هذه", "tokens": [3224, 24192, 6225, 42213, 2655, 11296, 6055, 1211, 9307, 3660, 8978, 6055, 1211, 9307, 3660, 281, 264, 1347, 297, 7251, 3555, 4587, 7578, 6055, 1211, 2655, 8978, 5551, 25513, 3615, 15844, 6055, 1211, 9307, 3660, 281, 264, 1347, 297, 21136, 13546, 1829, 11622, 29538, 13412, 2407, 5551, 9778, 3555, 9640, 11296, 43242, 24793, 2423, 32277, 32277, 6055, 3555, 3615, 11296, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 29538], "avg_logprob": -0.26745130799033423, "compression_ratio": 1.6688311688311688, "no_speech_prob": 0.0, "words": [{"start": 567.28, "end": 567.74, "word": "هذه", "probability": 0.48040771484375}, {"start": 567.74, "end": 568.48, "word": " عملتها", "probability": 0.747802734375}, {"start": 568.48, "end": 568.98, "word": " تلاتة", "probability": 0.89208984375}, {"start": 568.98, "end": 569.08, "word": " في", "probability": 0.8203125}, {"start": 569.08, "end": 569.66, "word": " تلاتة", "probability": 0.9847412109375}, {"start": 569.66, "end": 569.86, "word": " to", "probability": 0.7333984375}, {"start": 569.86, "end": 570.06, "word": " the", "probability": 0.90185546875}, {"start": 570.06, "end": 570.44, "word": " power", "probability": 0.9248046875}, {"start": 570.44, "end": 570.82, "word": " n", "probability": 0.619140625}, {"start": 570.82, "end": 571.66, "word": " يبقى", "probability": 0.9298095703125}, {"start": 571.66, "end": 572.12, "word": " تلت", "probability": 0.9034830729166666}, {"start": 572.12, "end": 572.26, "word": " في", "probability": 0.89892578125}, {"start": 572.26, "end": 572.64, "word": " أربع", "probability": 0.71044921875}, {"start": 572.64, "end": 572.84, "word": " على", "probability": 0.83056640625}, {"start": 572.84, "end": 573.42, "word": " تلاتة", "probability": 0.9742431640625}, {"start": 573.42, "end": 573.66, "word": " to", "probability": 0.91748046875}, {"start": 573.66, "end": 573.88, "word": " the", "probability": 0.92138671875}, {"start": 573.88, "end": 574.42, "word": " power", "probability": 0.90576171875}, {"start": 574.42, "end": 574.92, "word": " n", "probability": 0.8291015625}, {"start": 574.92, "end": 575.78, "word": " السيريز", "probability": 0.689697265625}, {"start": 575.78, "end": 576.0, "word": " هذه", "probability": 0.4560546875}, {"start": 576.0, "end": 576.22, "word": " شو", "probability": 0.796875}, {"start": 576.22, "end": 576.7, "word": " أخبارها", "probability": 0.94072265625}, {"start": 576.7, "end": 578.24, "word": " عندكم", "probability": 0.902587890625}, {"start": 578.24, "end": 584.3, "word": " الاساس", "probability": 0.4910888671875}, {"start": 584.3, "end": 584.74, "word": " تبعها", "probability": 0.848388671875}, {"start": 584.74, "end": 585.16, "word": " أكبر", "probability": 0.9200846354166666}, {"start": 585.16, "end": 585.32, "word": " من", "probability": 0.9697265625}, {"start": 585.32, "end": 586.66, "word": " الواحد", "probability": 0.8181966145833334}, {"start": 586.66, "end": 587.3, "word": " الصحيح", "probability": 0.948974609375}, {"start": 587.3, "end": 588.22, "word": " يبقى", "probability": 0.924560546875}, {"start": 588.22, "end": 588.72, "word": " هذه", "probability": 0.841796875}], "temperature": 1.0}, {"id": 26, "seek": 62203, "start": 599.67, "end": 622.03, "text": "النسبة يسوى أربعة على تلاتة أكبر من الواحد الصحيح إذا بقدر أقول السيطرة الأصلية by where بقدرش بقدر أروح على وين على الشروط التالتة ونفضل أن نبدأ بالشرط التالت طب لو جيت ابتدت بالشرط التالت يبقى الشرط التالت بيقول لي ال limit", "tokens": [6027, 1863, 35457, 3660, 7251, 3794, 2407, 7578, 5551, 25513, 27884, 15844, 6055, 1211, 9307, 3660, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 11933, 15730, 4724, 28543, 2288, 5551, 39648, 21136, 1829, 9566, 25720, 16247, 9381, 1211, 10632, 538, 689, 4724, 28543, 2288, 8592, 4724, 28543, 2288, 5551, 32887, 5016, 15844, 4032, 9957, 15844, 25124, 32887, 9566, 16712, 6027, 2655, 3660, 4032, 1863, 5172, 11242, 1211, 14739, 8717, 44510, 10721, 20666, 46309, 9566, 16712, 6027, 2655, 23032, 3555, 45164, 10874, 36081, 48127, 2655, 3215, 2655, 20666, 46309, 9566, 16712, 6027, 2655, 7251, 3555, 4587, 7578, 25124, 2288, 9566, 16712, 6027, 2655, 4724, 1829, 39648, 32239, 2423, 4948], "avg_logprob": -0.2790178680526359, "compression_ratio": 1.8995215311004785, "no_speech_prob": 0.0, "words": [{"start": 599.67, "end": 600.75, "word": "النسبة", "probability": 0.68829345703125}, {"start": 600.75, "end": 601.33, "word": " يسوى", "probability": 0.69580078125}, {"start": 601.33, "end": 601.87, "word": " أربعة", "probability": 0.6263020833333334}, {"start": 601.87, "end": 602.09, "word": " على", "probability": 0.79443359375}, {"start": 602.09, "end": 602.71, "word": " تلاتة", "probability": 0.91650390625}, {"start": 602.71, "end": 603.19, "word": " أكبر", "probability": 0.8946940104166666}, {"start": 603.19, "end": 603.41, "word": " من", "probability": 0.97900390625}, {"start": 603.41, "end": 603.95, "word": " الواحد", "probability": 0.8522135416666666}, {"start": 603.95, "end": 604.95, "word": " الصحيح", "probability": 0.83270263671875}, {"start": 604.95, "end": 605.53, "word": " إذا", "probability": 0.54241943359375}, {"start": 605.53, "end": 605.95, "word": " بقدر", "probability": 0.9104817708333334}, {"start": 605.95, "end": 606.23, "word": " أقول", "probability": 0.84619140625}, {"start": 606.23, "end": 606.67, "word": " السيطرة", "probability": 0.464019775390625}, {"start": 606.67, "end": 607.29, "word": " الأصلية", "probability": 0.740478515625}, {"start": 607.29, "end": 607.53, "word": " by", "probability": 0.1644287109375}, {"start": 607.53, "end": 607.95, "word": " where", "probability": 0.432373046875}, {"start": 607.95, "end": 609.89, "word": " بقدرش", "probability": 0.8343505859375}, {"start": 609.89, "end": 610.17, "word": " بقدر", "probability": 0.672607421875}, {"start": 610.17, "end": 610.29, "word": " أروح", "probability": 0.6344401041666666}, {"start": 610.29, "end": 610.47, "word": " على", "probability": 0.437255859375}, {"start": 610.47, "end": 610.81, "word": " وين", "probability": 0.6168212890625}, {"start": 610.81, "end": 611.51, "word": " على", "probability": 0.669921875}, {"start": 611.51, "end": 612.05, "word": " الشروط", "probability": 0.92041015625}, {"start": 612.05, "end": 612.57, "word": " التالتة", "probability": 0.9056396484375}, {"start": 612.57, "end": 613.61, "word": " ونفضل", "probability": 0.8474609375}, {"start": 613.61, "end": 614.15, "word": " أن", "probability": 0.7158203125}, {"start": 614.15, "end": 614.63, "word": " نبدأ", "probability": 0.8404947916666666}, {"start": 614.63, "end": 615.27, "word": " بالشرط", "probability": 0.9267578125}, {"start": 615.27, "end": 615.97, "word": " التالت", "probability": 0.953125}, {"start": 615.97, "end": 616.61, "word": " طب", "probability": 0.847412109375}, {"start": 616.61, "end": 616.81, "word": " لو", "probability": 0.98486328125}, {"start": 616.81, "end": 617.07, "word": " جيت", "probability": 0.9384765625}, {"start": 617.07, "end": 617.61, "word": " ابتدت", "probability": 0.762939453125}, {"start": 617.61, "end": 618.23, "word": " بالشرط", "probability": 0.9832356770833334}, {"start": 618.23, "end": 618.91, "word": " التالت", "probability": 0.9923502604166666}, {"start": 618.91, "end": 619.61, "word": " يبقى", "probability": 0.976318359375}, {"start": 619.61, "end": 620.07, "word": " الشرط", "probability": 0.9752604166666666}, {"start": 620.07, "end": 620.67, "word": " التالت", "probability": 0.98779296875}, {"start": 620.67, "end": 621.21, "word": " بيقول", "probability": 0.95458984375}, {"start": 621.21, "end": 621.39, "word": " لي", "probability": 0.40673828125}, {"start": 621.39, "end": 621.53, "word": " ال", "probability": 0.59619140625}, {"start": 621.53, "end": 622.03, "word": " limit", "probability": 0.94921875}], "temperature": 1.0}, {"id": 27, "seek": 63539, "start": 622.35, "end": 635.39, "text": "للان لما ال N tends to infinity لتلت في أربعة على تلتة to the power N", "tokens": [1211, 1211, 7649, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 2655, 1211, 2655, 8978, 5551, 25513, 27884, 15844, 6055, 1211, 2655, 3660, 281, 264, 1347, 426], "avg_logprob": -0.3351004325917789, "compression_ratio": 1.032258064516129, "no_speech_prob": 0.0, "words": [{"start": 622.35, "end": 623.65, "word": "للان", "probability": 0.548583984375}, {"start": 623.65, "end": 624.73, "word": " لما", "probability": 0.81396484375}, {"start": 624.73, "end": 624.97, "word": " ال", "probability": 0.955078125}, {"start": 624.97, "end": 625.25, "word": " N", "probability": 0.2210693359375}, {"start": 625.25, "end": 625.51, "word": " tends", "probability": 0.5556640625}, {"start": 625.51, "end": 625.77, "word": " to", "probability": 0.87158203125}, {"start": 625.77, "end": 626.51, "word": " infinity", "probability": 0.86328125}, {"start": 626.51, "end": 631.75, "word": " لتلت", "probability": 0.75775146484375}, {"start": 631.75, "end": 631.93, "word": " في", "probability": 0.763671875}, {"start": 631.93, "end": 632.57, "word": " أربعة", "probability": 0.7093912760416666}, {"start": 632.57, "end": 632.91, "word": " على", "probability": 0.67138671875}, {"start": 632.91, "end": 633.69, "word": " تلتة", "probability": 0.900390625}, {"start": 633.69, "end": 633.93, "word": " to", "probability": 0.84423828125}, {"start": 633.93, "end": 634.13, "word": " the", "probability": 0.87744140625}, {"start": 634.13, "end": 634.79, "word": " power", "probability": 0.89697265625}, {"start": 634.79, "end": 635.39, "word": " N", "probability": 0.845703125}], "temperature": 1.0}, {"id": 28, "seek": 65197, "start": 638.77, "end": 651.97, "text": "جديش؟ هذا كثر اكبر من واحد الصحيح ربه كعبه اربعة من الله سهل عليه رايح على وين؟ على infinity يبقى هذا سوى جديش؟ سوى infinity", "tokens": [7435, 16254, 8592, 22807, 23758, 9122, 12984, 2288, 1975, 4117, 26890, 9154, 36764, 24401, 31767, 5016, 1829, 5016, 12602, 3555, 3224, 9122, 3615, 3555, 3224, 1975, 25513, 27884, 9154, 21984, 8608, 3224, 1211, 47356, 12602, 47302, 5016, 15844, 4032, 9957, 22807, 15844, 13202, 7251, 3555, 4587, 7578, 23758, 8608, 2407, 7578, 10874, 16254, 8592, 22807, 8608, 2407, 7578, 13202], "avg_logprob": -0.2984375019868215, "compression_ratio": 1.5407407407407407, "no_speech_prob": 0.0, "words": [{"start": 638.77, "end": 639.57, "word": "جديش؟", "probability": 0.4984588623046875}, {"start": 639.57, "end": 639.75, "word": " هذا", "probability": 0.7509765625}, {"start": 639.75, "end": 640.17, "word": " كثر", "probability": 0.6044921875}, {"start": 640.17, "end": 640.41, "word": " اكبر", "probability": 0.8800455729166666}, {"start": 640.41, "end": 640.53, "word": " من", "probability": 0.99267578125}, {"start": 640.53, "end": 640.85, "word": " واحد", "probability": 0.967041015625}, {"start": 640.85, "end": 641.41, "word": " الصحيح", "probability": 0.9093017578125}, {"start": 641.41, "end": 642.41, "word": " ربه", "probability": 0.6107584635416666}, {"start": 642.41, "end": 643.19, "word": " كعبه", "probability": 0.83251953125}, {"start": 643.19, "end": 644.21, "word": " اربعة", "probability": 0.5218098958333334}, {"start": 644.21, "end": 644.37, "word": " من", "probability": 0.87451171875}, {"start": 644.37, "end": 644.57, "word": " الله", "probability": 0.89501953125}, {"start": 644.57, "end": 645.03, "word": " سهل", "probability": 0.8165690104166666}, {"start": 645.03, "end": 645.27, "word": " عليه", "probability": 0.521484375}, {"start": 645.27, "end": 645.57, "word": " رايح", "probability": 0.79736328125}, {"start": 645.57, "end": 645.71, "word": " على", "probability": 0.463134765625}, {"start": 645.71, "end": 646.67, "word": " وين؟", "probability": 0.8580729166666666}, {"start": 646.67, "end": 646.99, "word": " على", "probability": 0.77734375}, {"start": 646.99, "end": 647.77, "word": " infinity", "probability": 0.49365234375}, {"start": 647.77, "end": 648.35, "word": " يبقى", "probability": 0.934326171875}, {"start": 648.35, "end": 648.67, "word": " هذا", "probability": 0.927734375}, {"start": 648.67, "end": 649.13, "word": " سوى", "probability": 0.8038736979166666}, {"start": 649.13, "end": 650.19, "word": " جديش؟", "probability": 0.9122314453125}, {"start": 650.19, "end": 651.17, "word": " سوى", "probability": 0.91943359375}, {"start": 651.17, "end": 651.97, "word": " infinity", "probability": 0.80859375}], "temperature": 1.0}, {"id": 29, "seek": 68172, "start": 653.06, "end": 681.72, "text": "أيوة يبقى هذا اختبار مين؟ الحد النوني مظبوط اختبار الحد انه يعطاني مالة نهاية تعني ال series هذه مالها diverse طبقا لل instruments ممتاز جدا يبقى الشرط التالت عندي هذا ماله لم يتحقق مدى ما اتحققش يبقى ال series مالها diverse وكفى الله المؤمن القتال يبقى this", "tokens": [10721, 1829, 2407, 3660, 7251, 3555, 4587, 7578, 23758, 1975, 46456, 3555, 9640, 3714, 9957, 22807, 21542, 3215, 28239, 11536, 1829, 3714, 19913, 3555, 2407, 9566, 1975, 46456, 3555, 9640, 21542, 3215, 16472, 3224, 7251, 3615, 9566, 7649, 1829, 3714, 6027, 3660, 8717, 11296, 10632, 37279, 22653, 2423, 2638, 29538, 3714, 6027, 11296, 9521, 23032, 3555, 4587, 995, 24976, 12190, 3714, 2304, 2655, 31377, 10874, 28259, 7251, 3555, 4587, 7578, 25124, 2288, 9566, 16712, 6027, 2655, 18871, 16254, 23758, 3714, 6027, 3224, 32767, 7251, 2655, 5016, 4587, 4587, 3714, 3215, 7578, 19446, 1975, 2655, 5016, 4587, 4587, 8592, 7251, 3555, 4587, 7578, 2423, 2638, 3714, 6027, 11296, 9521, 4032, 4117, 5172, 7578, 21984, 9673, 33604, 27842, 25062, 2655, 6027, 7251, 3555, 4587, 7578, 341], "avg_logprob": -0.20937499618530273, "compression_ratio": 1.881578947368421, "no_speech_prob": 0.0, "words": [{"start": 653.06, "end": 653.82, "word": "أيوة", "probability": 0.67340087890625}, {"start": 653.82, "end": 654.48, "word": " يبقى", "probability": 0.89599609375}, {"start": 654.48, "end": 654.78, "word": " هذا", "probability": 0.69580078125}, {"start": 654.78, "end": 655.26, "word": " اختبار", "probability": 0.9573974609375}, {"start": 655.26, "end": 655.78, "word": " مين؟", "probability": 0.5856526692708334}, {"start": 655.78, "end": 656.86, "word": " الحد", "probability": 0.822265625}, {"start": 656.86, "end": 657.56, "word": " النوني", "probability": 0.9176432291666666}, {"start": 657.56, "end": 658.5, "word": " مظبوط", "probability": 0.844482421875}, {"start": 658.5, "end": 659.28, "word": " اختبار", "probability": 0.9530029296875}, {"start": 659.28, "end": 659.7, "word": " الحد", "probability": 0.896728515625}, {"start": 659.7, "end": 659.92, "word": " انه", "probability": 0.329345703125}, {"start": 659.92, "end": 660.38, "word": " يعطاني", "probability": 0.87646484375}, {"start": 660.38, "end": 660.66, "word": " مالة", "probability": 0.7903645833333334}, {"start": 660.66, "end": 661.04, "word": " نهاية", "probability": 0.7526041666666666}, {"start": 661.04, "end": 661.6, "word": " تعني", "probability": 0.712890625}, {"start": 661.6, "end": 661.76, "word": " ال", "probability": 0.6962890625}, {"start": 661.76, "end": 662.04, "word": " series", "probability": 0.90771484375}, {"start": 662.04, "end": 662.34, "word": " هذه", "probability": 0.591796875}, {"start": 662.34, "end": 662.88, "word": " مالها", "probability": 0.9498697916666666}, {"start": 662.88, "end": 664.0, "word": " diverse", "probability": 0.58349609375}, {"start": 664.0, "end": 664.88, "word": " طبقا", "probability": 0.7283935546875}, {"start": 664.88, "end": 665.04, "word": " لل", "probability": 0.8544921875}, {"start": 665.04, "end": 665.86, "word": " instruments", "probability": 0.045745849609375}, {"start": 665.86, "end": 668.18, "word": " ممتاز", "probability": 0.9522705078125}, {"start": 668.18, "end": 668.56, "word": " جدا", "probability": 0.99462890625}, {"start": 668.56, "end": 669.26, "word": " يبقى", "probability": 0.9669189453125}, {"start": 669.26, "end": 669.92, "word": " الشرط", "probability": 0.9837239583333334}, {"start": 669.92, "end": 670.74, "word": " التالت", "probability": 0.9718424479166666}, {"start": 670.74, "end": 671.2, "word": " عندي", "probability": 0.75537109375}, {"start": 671.2, "end": 671.48, "word": " هذا", "probability": 0.876953125}, {"start": 671.48, "end": 672.06, "word": " ماله", "probability": 0.8981119791666666}, {"start": 672.06, "end": 672.7, "word": " لم", "probability": 0.95751953125}, {"start": 672.7, "end": 674.1, "word": " يتحقق", "probability": 0.996875}, {"start": 674.1, "end": 674.62, "word": " مدى", "probability": 0.5897623697916666}, {"start": 674.62, "end": 674.8, "word": " ما", "probability": 0.92431640625}, {"start": 674.8, "end": 675.86, "word": " اتحققش", "probability": 0.9198404947916666}, {"start": 675.86, "end": 676.18, "word": " يبقى", "probability": 0.9556884765625}, {"start": 676.18, "end": 676.32, "word": " ال", "probability": 0.966796875}, {"start": 676.32, "end": 676.6, "word": " series", "probability": 0.951171875}, {"start": 676.6, "end": 677.24, "word": " مالها", "probability": 0.9593098958333334}, {"start": 677.24, "end": 678.08, "word": " diverse", "probability": 0.5595703125}, {"start": 678.08, "end": 678.62, "word": " وكفى", "probability": 0.8907470703125}, {"start": 678.62, "end": 678.82, "word": " الله", "probability": 0.92578125}, {"start": 678.82, "end": 679.3, "word": " المؤمن", "probability": 0.9134114583333334}, {"start": 679.3, "end": 679.9, "word": " القتال", "probability": 0.9798177083333334}, {"start": 679.9, "end": 681.12, "word": " يبقى", "probability": 0.982421875}, {"start": 681.12, "end": 681.72, "word": " this", "probability": 0.90234375}], "temperature": 1.0}, {"id": 30, "seek": 71149, "start": 682.93, "end": 711.49, "text": "means that أنه the third condition of the theorem is not satisfied that is ان", "tokens": [1398, 599, 300, 14739, 3224, 264, 2636, 4188, 295, 264, 20904, 307, 406, 11239, 300, 307, 16472], "avg_logprob": -0.3257378588120143, "compression_ratio": 1.0789473684210527, "no_speech_prob": 0.0, "words": [{"start": 682.93, "end": 684.23, "word": "means", "probability": 0.840087890625}, {"start": 684.23, "end": 686.25, "word": " that", "probability": 0.9287109375}, {"start": 686.25, "end": 687.97, "word": " أنه", "probability": 0.3175048828125}, {"start": 687.97, "end": 688.37, "word": " the", "probability": 0.796875}, {"start": 688.37, "end": 690.01, "word": " third", "probability": 0.91552734375}, {"start": 690.01, "end": 694.05, "word": " condition", "probability": 0.97607421875}, {"start": 694.05, "end": 697.03, "word": " of", "probability": 0.9765625}, {"start": 697.03, "end": 698.71, "word": " the", "probability": 0.9345703125}, {"start": 698.71, "end": 700.33, "word": " theorem", "probability": 0.8359375}, {"start": 700.33, "end": 701.55, "word": " is", "probability": 0.966796875}, {"start": 701.55, "end": 703.03, "word": " not", "probability": 0.9560546875}, {"start": 703.03, "end": 704.81, "word": " satisfied", "probability": 0.8662109375}, {"start": 704.81, "end": 708.45, "word": " that", "probability": 0.83984375}, {"start": 708.45, "end": 709.85, "word": " is", "probability": 0.97119140625}, {"start": 709.85, "end": 711.49, "word": " ان", "probability": 0.1485595703125}], "temperature": 1.0}, {"id": 31, "seek": 74165, "start": 714.11, "end": 741.65, "text": "That is limit لان لما ال N tends to infinity لا يسوى Zero So the series الهي summation ل minus one to the power N plus one لاربعة to the power N تلاتة to the power N plus one مالها Diverge", "tokens": [51, 15178, 307, 4948, 5296, 7649, 5296, 15042, 2423, 426, 12258, 281, 13202, 20193, 7251, 3794, 2407, 7578, 17182, 407, 264, 2638, 2423, 3224, 1829, 28811, 5296, 3175, 472, 281, 264, 1347, 426, 1804, 472, 5296, 9640, 3555, 27884, 281, 264, 1347, 426, 6055, 1211, 9307, 3660, 281, 264, 1347, 426, 1804, 472, 3714, 6027, 11296, 413, 1837, 432], "avg_logprob": -0.4283854067325592, "compression_ratio": 1.4294871794871795, "no_speech_prob": 0.0, "words": [{"start": 714.11, "end": 714.71, "word": "That", "probability": 0.4144439697265625}, {"start": 714.71, "end": 715.09, "word": " is", "probability": 0.8125}, {"start": 715.09, "end": 716.51, "word": " limit", "probability": 0.81689453125}, {"start": 716.51, "end": 719.05, "word": " لان", "probability": 0.4970703125}, {"start": 719.05, "end": 720.05, "word": " لما", "probability": 0.66845703125}, {"start": 720.05, "end": 720.23, "word": " ال", "probability": 0.73681640625}, {"start": 720.23, "end": 720.45, "word": " N", "probability": 0.1806640625}, {"start": 720.45, "end": 720.81, "word": " tends", "probability": 0.70361328125}, {"start": 720.81, "end": 721.01, "word": " to", "probability": 0.90478515625}, {"start": 721.01, "end": 721.73, "word": " infinity", "probability": 0.87744140625}, {"start": 721.73, "end": 722.61, "word": " لا", "probability": 0.458740234375}, {"start": 722.61, "end": 723.33, "word": " يسوى", "probability": 0.73388671875}, {"start": 723.33, "end": 723.85, "word": " Zero", "probability": 0.26025390625}, {"start": 723.85, "end": 724.89, "word": " So", "probability": 0.25146484375}, {"start": 724.89, "end": 726.27, "word": " the", "probability": 0.6689453125}, {"start": 726.27, "end": 727.29, "word": " series", "probability": 0.80712890625}, {"start": 727.29, "end": 728.63, "word": " الهي", "probability": 0.4559326171875}, {"start": 728.63, "end": 729.45, "word": " summation", "probability": 0.3447265625}, {"start": 729.45, "end": 730.45, "word": " ل", "probability": 0.701171875}, {"start": 730.45, "end": 730.79, "word": " minus", "probability": 0.35400390625}, {"start": 730.79, "end": 731.27, "word": " one", "probability": 0.87744140625}, {"start": 731.27, "end": 731.55, "word": " to", "probability": 0.94189453125}, {"start": 731.55, "end": 731.73, "word": " the", "probability": 0.88818359375}, {"start": 731.73, "end": 732.11, "word": " power", "probability": 0.8974609375}, {"start": 732.11, "end": 732.51, "word": " N", "probability": 0.423828125}, {"start": 732.51, "end": 733.11, "word": " plus", "probability": 0.89892578125}, {"start": 733.11, "end": 733.69, "word": " one", "probability": 0.94482421875}, {"start": 733.69, "end": 735.15, "word": " لاربعة", "probability": 0.8206787109375}, {"start": 735.15, "end": 735.37, "word": " to", "probability": 0.91015625}, {"start": 735.37, "end": 735.59, "word": " the", "probability": 0.92431640625}, {"start": 735.59, "end": 735.99, "word": " power", "probability": 0.88427734375}, {"start": 735.99, "end": 736.47, "word": " N", "probability": 0.95361328125}, {"start": 736.47, "end": 737.01, "word": " تلاتة", "probability": 0.84814453125}, {"start": 737.01, "end": 737.23, "word": " to", "probability": 0.94775390625}, {"start": 737.23, "end": 737.43, "word": " the", "probability": 0.927734375}, {"start": 737.43, "end": 737.79, "word": " power", "probability": 0.8759765625}, {"start": 737.79, "end": 738.21, "word": " N", "probability": 0.953125}, {"start": 738.21, "end": 738.85, "word": " plus", "probability": 0.91943359375}, {"start": 738.85, "end": 739.23, "word": " one", "probability": 0.951171875}, {"start": 739.23, "end": 739.83, "word": " مالها", "probability": 0.7860514322916666}, {"start": 739.83, "end": 741.65, "word": " Diverge", "probability": 0.6502278645833334}], "temperature": 1.0}, {"id": 32, "seek": 78266, "start": 758.66, "end": 782.66, "text": "المثال الثاني مشان تبقى ال converge بدت تلاتة في آن واحد مشان تبقى diverse بدور على الشرط التالف بدورش على اتنين هذولاك لأن هذولاك لو اتحققوا وما اتحققوش بقدرش احكم تمام بقدرش احكم", "tokens": [45340, 12984, 6027, 6024, 104, 7649, 1829, 37893, 7649, 6055, 3555, 4587, 7578, 2423, 41881, 47525, 2655, 6055, 1211, 9307, 3660, 8978, 19753, 1863, 36764, 24401, 37893, 7649, 6055, 3555, 4587, 7578, 9521, 47525, 13063, 15844, 25124, 2288, 9566, 16712, 6027, 5172, 47525, 13063, 8592, 15844, 1975, 2655, 1863, 9957, 8032, 8848, 12610, 995, 4117, 5296, 33456, 8032, 8848, 12610, 995, 4117, 45164, 1975, 2655, 5016, 4587, 4587, 14407, 4032, 15042, 1975, 2655, 5016, 4587, 4587, 2407, 8592, 4724, 28543, 2288, 8592, 1975, 5016, 24793, 46811, 10943, 4724, 28543, 2288, 8592, 1975, 5016, 24793], "avg_logprob": -0.22565790101101524, "compression_ratio": 1.874251497005988, "no_speech_prob": 0.0, "words": [{"start": 758.66, "end": 759.3, "word": "المثال", "probability": 0.85302734375}, {"start": 759.3, "end": 760.12, "word": " الثاني", "probability": 0.9656982421875}, {"start": 760.12, "end": 768.6, "word": " مشان", "probability": 0.4423828125}, {"start": 768.6, "end": 768.94, "word": " تبقى", "probability": 0.965576171875}, {"start": 768.94, "end": 769.06, "word": " ال", "probability": 0.66845703125}, {"start": 769.06, "end": 769.44, "word": " converge", "probability": 0.294189453125}, {"start": 769.44, "end": 770.0, "word": " بدت", "probability": 0.44146728515625}, {"start": 770.0, "end": 770.6, "word": " تلاتة", "probability": 0.9306640625}, {"start": 770.6, "end": 770.78, "word": " في", "probability": 0.9345703125}, {"start": 770.78, "end": 771.22, "word": " آن", "probability": 0.5804443359375}, {"start": 771.22, "end": 771.9, "word": " واحد", "probability": 0.957763671875}, {"start": 771.9, "end": 772.9, "word": " مشان", "probability": 0.92041015625}, {"start": 772.9, "end": 773.24, "word": " تبقى", "probability": 0.9951171875}, {"start": 773.24, "end": 773.62, "word": " diverse", "probability": 0.126708984375}, {"start": 773.62, "end": 774.06, "word": " بدور", "probability": 0.928955078125}, {"start": 774.06, "end": 774.18, "word": " على", "probability": 0.362060546875}, {"start": 774.18, "end": 774.56, "word": " الشرط", "probability": 0.90673828125}, {"start": 774.56, "end": 774.88, "word": " التالف", "probability": 0.7869466145833334}, {"start": 774.88, "end": 775.4, "word": " بدورش", "probability": 0.9036458333333334}, {"start": 775.4, "end": 775.52, "word": " على", "probability": 0.908203125}, {"start": 775.52, "end": 775.84, "word": " اتنين", "probability": 0.877197265625}, {"start": 775.84, "end": 776.5, "word": " هذولاك", "probability": 0.74033203125}, {"start": 776.5, "end": 777.16, "word": " لأن", "probability": 0.662841796875}, {"start": 777.16, "end": 777.84, "word": " هذولاك", "probability": 0.894921875}, {"start": 777.84, "end": 778.12, "word": " لو", "probability": 0.98046875}, {"start": 778.12, "end": 778.7, "word": " اتحققوا", "probability": 0.9130859375}, {"start": 778.7, "end": 778.84, "word": " وما", "probability": 0.813232421875}, {"start": 778.84, "end": 779.46, "word": " اتحققوش", "probability": 0.9654017857142857}, {"start": 779.46, "end": 780.08, "word": " بقدرش", "probability": 0.896484375}, {"start": 780.08, "end": 780.52, "word": " احكم", "probability": 0.8653971354166666}, {"start": 780.52, "end": 781.84, "word": " تمام", "probability": 0.891845703125}, {"start": 781.84, "end": 782.34, "word": " بقدرش", "probability": 0.8662109375}, {"start": 782.34, "end": 782.66, "word": " احكم", "probability": 0.9371744791666666}], "temperature": 1.0}, {"id": 33, "seek": 81271, "start": 784.47, "end": 812.71, "text": "طيب نجي للسؤال الثاني نمره اتنين summation من n equal to infinity لسلب واحد to the power n plus one لواحد على n فلن ال n يبقى الخطوة الأولى باخد ال series of absolute values solution the series", "tokens": [9566, 1829, 3555, 8717, 7435, 1829, 24976, 3794, 33604, 6027, 6024, 104, 7649, 1829, 8717, 29973, 3224, 1975, 2655, 1863, 9957, 28811, 9154, 297, 2681, 281, 13202, 5296, 3794, 46152, 36764, 24401, 281, 264, 1347, 297, 1804, 472, 5296, 14407, 24401, 15844, 297, 6156, 1211, 1863, 2423, 297, 7251, 3555, 4587, 7578, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 4724, 47283, 3215, 2423, 2638, 295, 8236, 4190, 3827, 264, 2638], "avg_logprob": -0.2768485814752713, "compression_ratio": 1.424731182795699, "no_speech_prob": 0.0, "words": [{"start": 784.47, "end": 784.99, "word": "طيب", "probability": 0.67742919921875}, {"start": 784.99, "end": 785.91, "word": " نجي", "probability": 0.5770670572916666}, {"start": 785.91, "end": 786.53, "word": " للسؤال", "probability": 0.8824462890625}, {"start": 786.53, "end": 787.17, "word": " الثاني", "probability": 0.9486083984375}, {"start": 787.17, "end": 787.73, "word": " نمره", "probability": 0.5144856770833334}, {"start": 787.73, "end": 788.37, "word": " اتنين", "probability": 0.932373046875}, {"start": 788.37, "end": 789.69, "word": " summation", "probability": 0.63330078125}, {"start": 789.69, "end": 790.89, "word": " من", "probability": 0.91015625}, {"start": 790.89, "end": 791.31, "word": " n", "probability": 0.49365234375}, {"start": 791.31, "end": 791.93, "word": " equal", "probability": 0.7021484375}, {"start": 791.93, "end": 792.53, "word": " to", "probability": 0.85693359375}, {"start": 792.53, "end": 793.67, "word": " infinity", "probability": 0.3876953125}, {"start": 793.67, "end": 795.43, "word": " لسلب", "probability": 0.7633463541666666}, {"start": 795.43, "end": 795.93, "word": " واحد", "probability": 0.97802734375}, {"start": 795.93, "end": 796.17, "word": " to", "probability": 0.94873046875}, {"start": 796.17, "end": 796.31, "word": " the", "probability": 0.9130859375}, {"start": 796.31, "end": 796.81, "word": " power", "probability": 0.88720703125}, {"start": 796.81, "end": 797.27, "word": " n", "probability": 0.68310546875}, {"start": 797.27, "end": 797.85, "word": " plus", "probability": 0.91357421875}, {"start": 797.85, "end": 798.39, "word": " one", "probability": 0.94287109375}, {"start": 798.39, "end": 799.79, "word": " لواحد", "probability": 0.771484375}, {"start": 799.79, "end": 800.65, "word": " على", "probability": 0.8818359375}, {"start": 800.65, "end": 801.23, "word": " n", "probability": 0.2208251953125}, {"start": 801.23, "end": 802.03, "word": " فلن", "probability": 0.8072916666666666}, {"start": 802.03, "end": 802.29, "word": " ال", "probability": 0.86181640625}, {"start": 802.29, "end": 803.55, "word": " n", "probability": 0.51904296875}, {"start": 803.55, "end": 805.11, "word": " يبقى", "probability": 0.9698486328125}, {"start": 805.11, "end": 805.63, "word": " الخطوة", "probability": 0.97216796875}, {"start": 805.63, "end": 806.05, "word": " الأولى", "probability": 0.9191080729166666}, {"start": 806.05, "end": 806.47, "word": " باخد", "probability": 0.9012044270833334}, {"start": 806.47, "end": 806.65, "word": " ال", "probability": 0.4326171875}, {"start": 806.65, "end": 806.95, "word": " series", "probability": 0.93310546875}, {"start": 806.95, "end": 807.39, "word": " of", "probability": 0.96826171875}, {"start": 807.39, "end": 808.45, "word": " absolute", "probability": 0.92236328125}, {"start": 808.45, "end": 809.57, "word": " values", "probability": 0.8408203125}, {"start": 809.57, "end": 810.49, "word": " solution", "probability": 0.76953125}, {"start": 810.49, "end": 811.63, "word": " the", "probability": 0.419189453125}, {"start": 811.63, "end": 812.71, "word": " series", "probability": 0.92236328125}], "temperature": 1.0}, {"id": 34, "seek": 84132, "start": 814.84, "end": 841.32, "text": "of absolute values is summation ل 1 على N لن ال N تيجي بالاختبار الأول هذه اختبار الحد النوني", "tokens": [2670, 8236, 4190, 307, 28811, 5296, 502, 15844, 426, 5296, 1863, 2423, 426, 6055, 1829, 7435, 1829, 20666, 47283, 2655, 3555, 9640, 16247, 12610, 29538, 1975, 46456, 3555, 9640, 21542, 3215, 28239, 11536, 1829], "avg_logprob": -0.4037946479661124, "compression_ratio": 1.2212389380530972, "no_speech_prob": 0.0, "words": [{"start": 814.84, "end": 815.42, "word": "of", "probability": 0.25244140625}, {"start": 815.42, "end": 817.34, "word": " absolute", "probability": 0.8857421875}, {"start": 817.34, "end": 819.96, "word": " values", "probability": 0.9482421875}, {"start": 819.96, "end": 821.02, "word": " is", "probability": 0.66455078125}, {"start": 821.02, "end": 822.52, "word": " summation", "probability": 0.66015625}, {"start": 822.52, "end": 823.36, "word": " ل", "probability": 0.66455078125}, {"start": 823.36, "end": 823.76, "word": " 1", "probability": 0.395751953125}, {"start": 823.76, "end": 824.32, "word": " على", "probability": 0.56884765625}, {"start": 824.32, "end": 824.84, "word": " N", "probability": 0.444580078125}, {"start": 824.84, "end": 825.68, "word": " لن", "probability": 0.609619140625}, {"start": 825.68, "end": 825.96, "word": " ال", "probability": 0.239501953125}, {"start": 825.96, "end": 826.34, "word": " N", "probability": 0.85009765625}, {"start": 826.34, "end": 835.68, "word": " تيجي", "probability": 0.68963623046875}, {"start": 835.68, "end": 836.32, "word": " بالاختبار", "probability": 0.95126953125}, {"start": 836.32, "end": 836.76, "word": " الأول", "probability": 0.867919921875}, {"start": 836.76, "end": 837.66, "word": " هذه", "probability": 0.3525390625}, {"start": 837.66, "end": 840.42, "word": " اختبار", "probability": 0.83526611328125}, {"start": 840.42, "end": 840.78, "word": " الحد", "probability": 0.927490234375}, {"start": 840.78, "end": 841.32, "word": " النوني", "probability": 0.7564290364583334}], "temperature": 1.0}, {"id": 35, "seek": 85701, "start": 850.27, "end": 857.01, "text": "الاختبار التاني هو التكامل", "tokens": [6027, 47283, 2655, 3555, 9640, 16712, 7649, 1829, 31439, 16712, 4117, 10943, 1211], "avg_logprob": -0.4665178656578064, "compression_ratio": 1.0208333333333333, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 850.27, "end": 851.67, "word": "الاختبار", "probability": 0.734228515625}, {"start": 851.67, "end": 852.41, "word": " التاني", "probability": 0.84619140625}, {"start": 852.41, "end": 855.29, "word": " هو", "probability": 0.339599609375}, {"start": 855.29, "end": 857.01, "word": " التكامل", "probability": 0.881103515625}], "temperature": 1.0}, {"id": 36, "seek": 88188, "start": 858.38, "end": 881.88, "text": "طيب تعالى نشوف التكامل integral test بحل المثلة و لا بحلهاش طبعا هذا من عند N تساوي اتنين ل infinity يبقى ال F of X يسوى واحد على X لن ال X هذي positive من عند اتنين فما فوق ولا لا و كذلك continuous", "tokens": [9566, 1829, 3555, 37279, 6027, 7578, 8717, 8592, 38688, 16712, 4117, 10943, 1211, 11573, 1500, 4724, 5016, 1211, 9673, 12984, 37977, 4032, 20193, 4724, 5016, 1211, 11296, 8592, 23032, 3555, 3615, 995, 23758, 9154, 43242, 426, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 5296, 13202, 7251, 3555, 4587, 7578, 2423, 479, 295, 1783, 7251, 3794, 2407, 7578, 36764, 24401, 15844, 1783, 5296, 1863, 2423, 1783, 8032, 8848, 1829, 3353, 9154, 43242, 1975, 2655, 1863, 9957, 6156, 15042, 6156, 30543, 49429, 20193, 4032, 9122, 8848, 23275, 10957], "avg_logprob": -0.23206675848500294, "compression_ratio": 1.502439024390244, "no_speech_prob": 0.0, "words": [{"start": 858.38, "end": 858.72, "word": "طيب", "probability": 0.5656331380208334}, {"start": 858.72, "end": 859.06, "word": " تعالى", "probability": 0.9539388020833334}, {"start": 859.06, "end": 859.28, "word": " نشوف", "probability": 0.9737955729166666}, {"start": 859.28, "end": 859.88, "word": " التكامل", "probability": 0.921142578125}, {"start": 859.88, "end": 860.32, "word": " integral", "probability": 0.302978515625}, {"start": 860.32, "end": 860.7, "word": " test", "probability": 0.58251953125}, {"start": 860.7, "end": 861.14, "word": " بحل", "probability": 0.9152018229166666}, {"start": 861.14, "end": 861.72, "word": " المثلة", "probability": 0.7506510416666666}, {"start": 861.72, "end": 861.86, "word": " و", "probability": 0.49267578125}, {"start": 861.86, "end": 861.94, "word": " لا", "probability": 0.912109375}, {"start": 861.94, "end": 862.66, "word": " بحلهاش", "probability": 0.8318359375}, {"start": 862.66, "end": 863.42, "word": " طبعا", "probability": 0.9281005859375}, {"start": 863.42, "end": 863.7, "word": " هذا", "probability": 0.7177734375}, {"start": 863.7, "end": 863.88, "word": " من", "probability": 0.7763671875}, {"start": 863.88, "end": 864.12, "word": " عند", "probability": 0.99072265625}, {"start": 864.12, "end": 864.54, "word": " N", "probability": 0.397216796875}, {"start": 864.54, "end": 865.16, "word": " تساوي", "probability": 0.8629150390625}, {"start": 865.16, "end": 865.72, "word": " اتنين", "probability": 0.8348388671875}, {"start": 865.72, "end": 865.9, "word": " ل", "probability": 0.84033203125}, {"start": 865.9, "end": 866.64, "word": " infinity", "probability": 0.1793212890625}, {"start": 866.64, "end": 867.8, "word": " يبقى", "probability": 0.9739990234375}, {"start": 867.8, "end": 867.94, "word": " ال", "probability": 0.74609375}, {"start": 867.94, "end": 868.34, "word": " F", "probability": 0.84716796875}, {"start": 868.34, "end": 868.84, "word": " of", "probability": 0.80712890625}, {"start": 868.84, "end": 869.34, "word": " X", "probability": 0.9501953125}, {"start": 869.34, "end": 870.06, "word": " يسوى", "probability": 0.82373046875}, {"start": 870.06, "end": 870.64, "word": " واحد", "probability": 0.97900390625}, {"start": 870.64, "end": 870.98, "word": " على", "probability": 0.6953125}, {"start": 870.98, "end": 871.46, "word": " X", "probability": 0.974609375}, {"start": 871.46, "end": 872.1, "word": " لن", "probability": 0.6456298828125}, {"start": 872.1, "end": 872.32, "word": " ال", "probability": 0.681640625}, {"start": 872.32, "end": 872.68, "word": " X", "probability": 0.93896484375}, {"start": 872.68, "end": 873.74, "word": " هذي", "probability": 0.6690266927083334}, {"start": 873.74, "end": 874.52, "word": " positive", "probability": 0.9150390625}, {"start": 874.52, "end": 875.54, "word": " من", "probability": 0.91015625}, {"start": 875.54, "end": 875.84, "word": " عند", "probability": 0.92919921875}, {"start": 875.84, "end": 876.4, "word": " اتنين", "probability": 0.9044189453125}, {"start": 876.4, "end": 876.72, "word": " فما", "probability": 0.852783203125}, {"start": 876.72, "end": 877.08, "word": " فوق", "probability": 0.98681640625}, {"start": 877.08, "end": 877.28, "word": " ولا", "probability": 0.876953125}, {"start": 877.28, "end": 877.74, "word": " لا", "probability": 0.85888671875}, {"start": 877.74, "end": 879.02, "word": " و", "probability": 0.342529296875}, {"start": 879.02, "end": 880.12, "word": " كذلك", "probability": 0.9119466145833334}, {"start": 880.12, "end": 881.88, "word": " continuous", "probability": 0.91650390625}], "temperature": 1.0}, {"id": 37, "seek": 90852, "start": 885.94, "end": 908.52, "text": "4 all x أكبر من أوي سوى 2 لأن ال discontinuity عند ال zero و عند ال واحد يبقى احنا مالاش علاقة فيه هم دول برا فترة الكاول يجب ان يكون عند اثنين فما فوق متحققة طيب ده يلقى decreasing لو أخدت الحد انه يجب ان يكون واحد على N من ال N", "tokens": [19, 439, 2031, 5551, 4117, 26890, 9154, 34051, 1829, 8608, 2407, 7578, 568, 5296, 33456, 2423, 31420, 21757, 43242, 2423, 4018, 4032, 43242, 2423, 36764, 24401, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 3714, 6027, 33599, 11203, 995, 28671, 8978, 3224, 8032, 2304, 11778, 12610, 4724, 23557, 6156, 2655, 25720, 33251, 995, 12610, 7251, 7435, 3555, 16472, 7251, 30544, 43242, 1975, 12984, 1863, 9957, 6156, 15042, 6156, 30543, 44650, 5016, 4587, 28671, 23032, 1829, 3555, 11778, 3224, 7251, 1211, 4587, 7578, 23223, 45164, 5551, 9778, 3215, 2655, 21542, 3215, 16472, 3224, 7251, 7435, 3555, 16472, 7251, 30544, 36764, 24401, 15844, 426, 9154, 2423, 426], "avg_logprob": -0.3806547528221494, "compression_ratio": 1.6200873362445414, "no_speech_prob": 0.0, "words": [{"start": 885.94, "end": 886.48, "word": "4", "probability": 0.09857177734375}, {"start": 886.48, "end": 887.18, "word": " all", "probability": 0.169921875}, {"start": 887.18, "end": 887.64, "word": " x", "probability": 0.650390625}, {"start": 887.64, "end": 888.34, "word": " أكبر", "probability": 0.7364095052083334}, {"start": 888.34, "end": 888.5, "word": " من", "probability": 0.94873046875}, {"start": 888.5, "end": 888.88, "word": " أوي", "probability": 0.81201171875}, {"start": 888.88, "end": 889.28, "word": " سوى", "probability": 0.582275390625}, {"start": 889.28, "end": 889.38, "word": " 2", "probability": 0.78515625}, {"start": 889.38, "end": 889.9, "word": " لأن", "probability": 0.75439453125}, {"start": 889.9, "end": 890.04, "word": " ال", "probability": 0.7431640625}, {"start": 890.04, "end": 891.08, "word": " discontinuity", "probability": 0.6629638671875}, {"start": 891.08, "end": 891.4, "word": " عند", "probability": 0.94580078125}, {"start": 891.4, "end": 891.58, "word": " ال", "probability": 0.75537109375}, {"start": 891.58, "end": 892.0, "word": " zero", "probability": 0.2880859375}, {"start": 892.0, "end": 892.62, "word": " و", "probability": 0.93701171875}, {"start": 892.62, "end": 892.94, "word": " عند", "probability": 0.83642578125}, {"start": 892.94, "end": 893.16, "word": " ال", "probability": 0.95703125}, {"start": 893.16, "end": 893.62, "word": " واحد", "probability": 0.907470703125}, {"start": 893.62, "end": 894.26, "word": " يبقى", "probability": 0.661834716796875}, {"start": 894.26, "end": 894.52, "word": " احنا", "probability": 0.814697265625}, {"start": 894.52, "end": 894.92, "word": " مالاش", "probability": 0.5659993489583334}, {"start": 894.92, "end": 895.32, "word": " علاقة", "probability": 0.9837239583333334}, {"start": 895.32, "end": 895.62, "word": " فيه", "probability": 0.5634765625}, {"start": 895.62, "end": 895.84, "word": " هم", "probability": 0.74853515625}, {"start": 895.84, "end": 896.06, "word": " دول", "probability": 0.748779296875}, {"start": 896.06, "end": 896.42, "word": " برا", "probability": 0.83056640625}, {"start": 896.42, "end": 896.82, "word": " فترة", "probability": 0.9913736979166666}, {"start": 896.82, "end": 897.4, "word": " الكاول", "probability": 0.635009765625}, {"start": 897.4, "end": 897.62, "word": " يجب", "probability": 0.6698404947916666}, {"start": 897.62, "end": 897.74, "word": " ان", "probability": 0.5107421875}, {"start": 897.74, "end": 897.88, "word": " يكون", "probability": 0.6378173828125}, {"start": 897.88, "end": 897.98, "word": " عند", "probability": 0.7080078125}, {"start": 897.98, "end": 898.4, "word": " اثنين", "probability": 0.72039794921875}, {"start": 898.4, "end": 898.7, "word": " فما", "probability": 0.5518798828125}, {"start": 898.7, "end": 899.22, "word": " فوق", "probability": 0.948486328125}, {"start": 899.22, "end": 900.46, "word": " متحققة", "probability": 0.82958984375}, {"start": 900.46, "end": 900.86, "word": " طيب", "probability": 0.8932291666666666}, {"start": 900.86, "end": 901.18, "word": " ده", "probability": 0.4312744140625}, {"start": 901.18, "end": 901.5, "word": " يلقى", "probability": 0.5927734375}, {"start": 901.5, "end": 902.12, "word": " decreasing", "probability": 0.91357421875}, {"start": 902.12, "end": 902.98, "word": " لو", "probability": 0.9140625}, {"start": 902.98, "end": 903.56, "word": " أخدت", "probability": 0.9072265625}, {"start": 903.56, "end": 904.18, "word": " الحد", "probability": 0.98779296875}, {"start": 904.18, "end": 904.66, "word": " انه", "probability": 0.737548828125}, {"start": 904.66, "end": 905.08, "word": " يجب", "probability": 0.8826497395833334}, {"start": 905.08, "end": 905.2, "word": " ان", "probability": 0.2305908203125}, {"start": 905.2, "end": 905.2, "word": " يكون", "probability": 0.96630859375}, {"start": 905.2, "end": 905.6, "word": " واحد", "probability": 0.794189453125}, {"start": 905.6, "end": 905.86, "word": " على", "probability": 0.79248046875}, {"start": 905.86, "end": 906.42, "word": " N", "probability": 0.258056640625}, {"start": 906.42, "end": 907.4, "word": " من", "probability": 0.437255859375}, {"start": 907.4, "end": 908.0, "word": " ال", "probability": 0.7783203125}, {"start": 908.0, "end": 908.52, "word": " N", "probability": 0.89794921875}], "temperature": 1.0}, {"id": 38, "seek": 92570, "start": 909.32, "end": 925.7, "text": "واخدت الحد انوني زائد واحد واحد على ان زائد واحد لان الان زائد واحد طبعا الأول اكبر من مين من التاني هذه يعني انها decreasing كذلك", "tokens": [2407, 47283, 3215, 2655, 21542, 3215, 16472, 11536, 1829, 30767, 16373, 3215, 36764, 24401, 36764, 24401, 15844, 16472, 30767, 16373, 3215, 36764, 24401, 5296, 7649, 2423, 7649, 30767, 16373, 3215, 36764, 24401, 23032, 3555, 3615, 995, 16247, 12610, 1975, 4117, 26890, 9154, 3714, 9957, 9154, 16712, 7649, 1829, 29538, 37495, 22653, 16472, 11296, 23223, 9122, 8848, 23275], "avg_logprob": -0.21592133261006455, "compression_ratio": 1.6544117647058822, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 909.32, "end": 910.14, "word": "واخدت", "probability": 0.8665771484375}, {"start": 910.14, "end": 910.78, "word": " الحد", "probability": 0.9365234375}, {"start": 910.78, "end": 911.44, "word": " انوني", "probability": 0.5782877604166666}, {"start": 911.44, "end": 911.98, "word": " زائد", "probability": 0.8006184895833334}, {"start": 911.98, "end": 912.54, "word": " واحد", "probability": 0.98779296875}, {"start": 912.54, "end": 913.44, "word": " واحد", "probability": 0.649658203125}, {"start": 913.44, "end": 913.74, "word": " على", "probability": 0.71728515625}, {"start": 913.74, "end": 914.12, "word": " ان", "probability": 0.368896484375}, {"start": 914.12, "end": 914.74, "word": " زائد", "probability": 0.9632161458333334}, {"start": 914.74, "end": 915.26, "word": " واحد", "probability": 0.98779296875}, {"start": 915.26, "end": 915.76, "word": " لان", "probability": 0.7724609375}, {"start": 915.76, "end": 916.4, "word": " الان", "probability": 0.681640625}, {"start": 916.4, "end": 917.66, "word": " زائد", "probability": 0.9733072916666666}, {"start": 917.66, "end": 918.0, "word": " واحد", "probability": 0.98779296875}, {"start": 918.0, "end": 918.46, "word": " طبعا", "probability": 0.9384765625}, {"start": 918.46, "end": 918.86, "word": " الأول", "probability": 0.799560546875}, {"start": 918.86, "end": 919.38, "word": " اكبر", "probability": 0.8193359375}, {"start": 919.38, "end": 919.6, "word": " من", "probability": 0.9609375}, {"start": 919.6, "end": 920.02, "word": " مين", "probability": 0.657470703125}, {"start": 920.02, "end": 920.84, "word": " من", "probability": 0.51318359375}, {"start": 920.84, "end": 921.52, "word": " التاني", "probability": 0.9033203125}, {"start": 921.52, "end": 921.86, "word": " هذه", "probability": 0.374267578125}, {"start": 921.86, "end": 922.46, "word": " يعني", "probability": 0.913330078125}, {"start": 922.46, "end": 923.16, "word": " انها", "probability": 0.910400390625}, {"start": 923.16, "end": 924.44, "word": " decreasing", "probability": 0.9609375}, {"start": 924.44, "end": 925.7, "word": " كذلك", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 39, "seek": 94937, "start": 926.05, "end": 949.37, "text": "لكل N أكبر من أو تساوي منهم اتنين اذا تحققت الشروط التلاتة لمن؟ للتكامل اذا بقدر اخد تكامل من اتنين ل infinity لواحد على X لان ال X كله بالنسبة لمن؟ لDX", "tokens": [1211, 28820, 426, 5551, 4117, 26890, 9154, 34051, 6055, 3794, 995, 45865, 9154, 16095, 1975, 2655, 1863, 9957, 1975, 15730, 6055, 5016, 4587, 38149, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 5296, 27842, 22807, 24976, 2655, 4117, 10943, 1211, 1975, 15730, 4724, 28543, 2288, 1975, 9778, 3215, 6055, 4117, 10943, 1211, 9154, 1975, 2655, 1863, 9957, 5296, 13202, 5296, 14407, 24401, 15844, 1783, 5296, 7649, 2423, 1783, 28242, 3224, 20666, 1863, 35457, 3660, 5296, 27842, 22807, 5296, 35, 55], "avg_logprob": -0.26484374292194846, "compression_ratio": 1.5757575757575757, "no_speech_prob": 0.0, "words": [{"start": 926.05, "end": 927.11, "word": "لكل", "probability": 0.566650390625}, {"start": 927.11, "end": 927.93, "word": " N", "probability": 0.1968994140625}, {"start": 927.93, "end": 928.91, "word": " أكبر", "probability": 0.8605143229166666}, {"start": 928.91, "end": 929.17, "word": " من", "probability": 0.93115234375}, {"start": 929.17, "end": 929.49, "word": " أو", "probability": 0.68701171875}, {"start": 929.49, "end": 930.05, "word": " تساوي", "probability": 0.859375}, {"start": 930.05, "end": 930.53, "word": " منهم", "probability": 0.46807861328125}, {"start": 930.53, "end": 931.61, "word": " اتنين", "probability": 0.8546142578125}, {"start": 931.61, "end": 932.25, "word": " اذا", "probability": 0.5924072265625}, {"start": 932.25, "end": 933.07, "word": " تحققت", "probability": 0.7958984375}, {"start": 933.07, "end": 933.63, "word": " الشروط", "probability": 0.9405924479166666}, {"start": 933.63, "end": 934.23, "word": " التلاتة", "probability": 0.88818359375}, {"start": 934.23, "end": 934.93, "word": " لمن؟", "probability": 0.5855305989583334}, {"start": 934.93, "end": 936.29, "word": " للتكامل", "probability": 0.89306640625}, {"start": 936.29, "end": 936.95, "word": " اذا", "probability": 0.6622314453125}, {"start": 936.95, "end": 937.49, "word": " بقدر", "probability": 0.9044596354166666}, {"start": 937.49, "end": 937.83, "word": " اخد", "probability": 0.8172200520833334}, {"start": 937.83, "end": 938.73, "word": " تكامل", "probability": 0.9752197265625}, {"start": 938.73, "end": 939.01, "word": " من", "probability": 0.986328125}, {"start": 939.01, "end": 939.75, "word": " اتنين", "probability": 0.927978515625}, {"start": 939.75, "end": 940.03, "word": " ل", "probability": 0.91943359375}, {"start": 940.03, "end": 941.09, "word": " infinity", "probability": 0.421630859375}, {"start": 941.09, "end": 942.49, "word": " لواحد", "probability": 0.8056640625}, {"start": 942.49, "end": 942.89, "word": " على", "probability": 0.6435546875}, {"start": 942.89, "end": 943.49, "word": " X", "probability": 0.65966796875}, {"start": 943.49, "end": 945.05, "word": " لان", "probability": 0.653564453125}, {"start": 945.05, "end": 945.35, "word": " ال", "probability": 0.6630859375}, {"start": 945.35, "end": 946.07, "word": " X", "probability": 0.84130859375}, {"start": 946.07, "end": 946.97, "word": " كله", "probability": 0.97705078125}, {"start": 946.97, "end": 947.63, "word": " بالنسبة", "probability": 0.9940185546875}, {"start": 947.63, "end": 948.35, "word": " لمن؟", "probability": 0.8763020833333334}, {"start": 948.35, "end": 949.37, "word": " لDX", "probability": 0.713623046875}], "temperature": 1.0}, {"id": 40, "seek": 96156, "start": 949.74, "end": 961.56, "text": "هذا الـ Improper Integral يجب أن أعمله بمعاملة الـ Improper Integral من النوع الأول limit تكامل من 2 إلى P لما P tends to infinity", "tokens": [3224, 15730, 2423, 39184, 8270, 340, 610, 23894, 304, 7251, 7435, 3555, 14739, 5551, 25957, 43761, 4724, 2304, 3615, 10943, 37977, 2423, 39184, 8270, 340, 610, 23894, 304, 9154, 28239, 45367, 16247, 12610, 4948, 6055, 4117, 10943, 1211, 9154, 568, 30731, 430, 5296, 15042, 430, 12258, 281, 13202], "avg_logprob": -0.3651147861869968, "compression_ratio": 1.3021582733812949, "no_speech_prob": 0.0, "words": [{"start": 949.74, "end": 950.26, "word": "هذا", "probability": 0.736328125}, {"start": 950.26, "end": 950.44, "word": " الـ", "probability": 0.27142333984375}, {"start": 950.44, "end": 951.0, "word": " Improper", "probability": 0.70556640625}, {"start": 951.0, "end": 951.66, "word": " Integral", "probability": 0.75048828125}, {"start": 951.66, "end": 951.96, "word": " يجب", "probability": 0.5944010416666666}, {"start": 951.96, "end": 952.16, "word": " أن", "probability": 0.51416015625}, {"start": 952.16, "end": 952.74, "word": " أعمله", "probability": 0.565185546875}, {"start": 952.74, "end": 953.46, "word": " بمعاملة", "probability": 0.9673828125}, {"start": 953.46, "end": 953.64, "word": " الـ", "probability": 0.897216796875}, {"start": 953.64, "end": 954.18, "word": " Improper", "probability": 0.9026692708333334}, {"start": 954.18, "end": 955.0, "word": " Integral", "probability": 0.849609375}, {"start": 955.0, "end": 955.54, "word": " من", "probability": 0.90478515625}, {"start": 955.54, "end": 956.0, "word": " النوع", "probability": 0.96826171875}, {"start": 956.0, "end": 956.62, "word": " الأول", "probability": 0.97705078125}, {"start": 956.62, "end": 957.02, "word": " limit", "probability": 0.249267578125}, {"start": 957.02, "end": 957.8, "word": " تكامل", "probability": 0.844970703125}, {"start": 957.8, "end": 958.02, "word": " من", "probability": 0.98974609375}, {"start": 958.02, "end": 958.56, "word": " 2", "probability": 0.7353515625}, {"start": 958.56, "end": 959.1, "word": " إلى", "probability": 0.8759765625}, {"start": 959.1, "end": 959.4, "word": " P", "probability": 0.50732421875}, {"start": 959.4, "end": 959.82, "word": " لما", "probability": 0.723876953125}, {"start": 959.82, "end": 960.1, "word": " P", "probability": 0.9189453125}, {"start": 960.1, "end": 960.54, "word": " tends", "probability": 0.76708984375}, {"start": 960.54, "end": 960.8, "word": " to", "probability": 0.94970703125}, {"start": 960.8, "end": 961.56, "word": " infinity", "probability": 0.76513671875}], "temperature": 1.0}, {"id": 41, "seek": 99033, "start": 966.23, "end": 990.33, "text": "مش هدى مشتاقة لن ال X تمام تمام يبقى هدى D ل لن ال X على مين؟ على لن ال X ويسوى ال limit لما B tends to infinity اظن البس تفاضل المقام صح؟ يبقى لن المقام لن ل لن ال X", "tokens": [2304, 8592, 8032, 3215, 7578, 37893, 2655, 995, 28671, 5296, 1863, 2423, 1783, 46811, 10943, 46811, 10943, 7251, 3555, 4587, 7578, 8032, 3215, 7578, 413, 5296, 5296, 1863, 2423, 1783, 15844, 3714, 9957, 22807, 15844, 5296, 1863, 2423, 1783, 4032, 1829, 3794, 2407, 7578, 2423, 4948, 5296, 15042, 363, 12258, 281, 13202, 1975, 19913, 1863, 29739, 3794, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 20328, 5016, 22807, 7251, 3555, 4587, 7578, 5296, 1863, 9673, 4587, 10943, 5296, 1863, 5296, 5296, 1863, 2423, 1783], "avg_logprob": -0.274553571783361, "compression_ratio": 1.6987179487179487, "no_speech_prob": 0.0, "words": [{"start": 966.23, "end": 966.59, "word": "مش", "probability": 0.512451171875}, {"start": 966.59, "end": 966.89, "word": " هدى", "probability": 0.4877522786458333}, {"start": 966.89, "end": 967.45, "word": " مشتاقة", "probability": 0.7119140625}, {"start": 967.45, "end": 967.71, "word": " لن", "probability": 0.779052734375}, {"start": 967.71, "end": 967.89, "word": " ال", "probability": 0.51220703125}, {"start": 967.89, "end": 968.25, "word": " X", "probability": 0.72705078125}, {"start": 968.25, "end": 969.09, "word": " تمام", "probability": 0.7236328125}, {"start": 969.09, "end": 969.87, "word": " تمام", "probability": 0.8896484375}, {"start": 969.87, "end": 970.85, "word": " يبقى", "probability": 0.9725341796875}, {"start": 970.85, "end": 971.43, "word": " هدى", "probability": 0.7942708333333334}, {"start": 971.43, "end": 971.97, "word": " D", "probability": 0.59521484375}, {"start": 971.97, "end": 972.37, "word": " ل", "probability": 0.9736328125}, {"start": 972.37, "end": 972.87, "word": " لن", "probability": 0.804443359375}, {"start": 972.87, "end": 973.17, "word": " ال", "probability": 0.8330078125}, {"start": 973.17, "end": 973.63, "word": " X", "probability": 0.9755859375}, {"start": 973.63, "end": 973.97, "word": " على", "probability": 0.669921875}, {"start": 973.97, "end": 974.99, "word": " مين؟", "probability": 0.638671875}, {"start": 974.99, "end": 975.41, "word": " على", "probability": 0.71923828125}, {"start": 975.41, "end": 975.85, "word": " لن", "probability": 0.98388671875}, {"start": 975.85, "end": 976.05, "word": " ال", "probability": 0.9599609375}, {"start": 976.05, "end": 976.41, "word": " X", "probability": 0.99365234375}, {"start": 976.41, "end": 977.51, "word": " ويسوى", "probability": 0.7791015625}, {"start": 977.51, "end": 977.69, "word": " ال", "probability": 0.77392578125}, {"start": 977.69, "end": 978.15, "word": " limit", "probability": 0.95166015625}, {"start": 978.15, "end": 978.67, "word": " لما", "probability": 0.884521484375}, {"start": 978.67, "end": 979.03, "word": " B", "probability": 0.51904296875}, {"start": 979.03, "end": 979.51, "word": " tends", "probability": 0.7373046875}, {"start": 979.51, "end": 979.77, "word": " to", "probability": 0.93798828125}, {"start": 979.77, "end": 980.59, "word": " infinity", "probability": 0.80859375}, {"start": 980.59, "end": 981.71, "word": " اظن", "probability": 0.8211263020833334}, {"start": 981.71, "end": 982.05, "word": " البس", "probability": 0.854248046875}, {"start": 982.05, "end": 982.53, "word": " تفاضل", "probability": 0.731689453125}, {"start": 982.53, "end": 983.07, "word": " المقام", "probability": 0.9939778645833334}, {"start": 983.07, "end": 985.23, "word": " صح؟", "probability": 0.76123046875}, {"start": 985.23, "end": 986.27, "word": " يبقى", "probability": 0.98681640625}, {"start": 986.27, "end": 987.45, "word": " لن", "probability": 0.838623046875}, {"start": 987.45, "end": 988.09, "word": " المقام", "probability": 0.9803059895833334}, {"start": 988.09, "end": 989.09, "word": " لن", "probability": 0.5537109375}, {"start": 989.09, "end": 989.27, "word": " ل", "probability": 0.9921875}, {"start": 989.27, "end": 989.67, "word": " لن", "probability": 0.76171875}, {"start": 989.67, "end": 989.93, "word": " ال", "probability": 0.71533203125}, {"start": 989.93, "end": 990.33, "word": " X", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 42, "seek": 101654, "start": 990.66, "end": 1016.54, "text": "يبقى النتيجة لن absolute value لن ال X والكلام من اتنين لغاية ال B يبقى هذا يسوي ال limit لما B tends to infinity لن absolute value لن ال B نقص لن absolute value لن اتنين Y ساوي", "tokens": [1829, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 5296, 1863, 8236, 2158, 5296, 1863, 2423, 1783, 16070, 28820, 10943, 9154, 1975, 2655, 1863, 9957, 5296, 17082, 995, 10632, 2423, 363, 7251, 3555, 4587, 7578, 23758, 7251, 3794, 45865, 2423, 4948, 5296, 15042, 363, 12258, 281, 13202, 5296, 1863, 8236, 2158, 5296, 1863, 2423, 363, 8717, 4587, 9381, 5296, 1863, 8236, 2158, 5296, 1863, 1975, 2655, 1863, 9957, 398, 8608, 995, 45865], "avg_logprob": -0.2324218741721577, "compression_ratio": 1.6644736842105263, "no_speech_prob": 0.0, "words": [{"start": 990.66, "end": 991.32, "word": "يبقى", "probability": 0.9056396484375}, {"start": 991.32, "end": 992.28, "word": " النتيجة", "probability": 0.9410400390625}, {"start": 992.28, "end": 993.1, "word": " لن", "probability": 0.4847412109375}, {"start": 993.1, "end": 993.9, "word": " absolute", "probability": 0.75830078125}, {"start": 993.9, "end": 995.08, "word": " value", "probability": 0.9921875}, {"start": 995.08, "end": 996.12, "word": " لن", "probability": 0.704345703125}, {"start": 996.12, "end": 996.34, "word": " ال", "probability": 0.669921875}, {"start": 996.34, "end": 996.68, "word": " X", "probability": 0.54052734375}, {"start": 996.68, "end": 997.9, "word": " والكلام", "probability": 0.7548828125}, {"start": 997.9, "end": 998.16, "word": " من", "probability": 0.97509765625}, {"start": 998.16, "end": 998.76, "word": " اتنين", "probability": 0.784576416015625}, {"start": 998.76, "end": 999.34, "word": " لغاية", "probability": 0.9697265625}, {"start": 999.34, "end": 999.62, "word": " ال", "probability": 0.5908203125}, {"start": 999.62, "end": 999.82, "word": " B", "probability": 0.60546875}, {"start": 999.82, "end": 1001.76, "word": " يبقى", "probability": 0.95556640625}, {"start": 1001.76, "end": 1002.02, "word": " هذا", "probability": 0.93505859375}, {"start": 1002.02, "end": 1002.8, "word": " يسوي", "probability": 0.4524739583333333}, {"start": 1002.8, "end": 1003.0, "word": " ال", "probability": 0.58251953125}, {"start": 1003.0, "end": 1003.5, "word": " limit", "probability": 0.9365234375}, {"start": 1003.5, "end": 1004.04, "word": " لما", "probability": 0.8525390625}, {"start": 1004.04, "end": 1004.4, "word": " B", "probability": 0.82275390625}, {"start": 1004.4, "end": 1004.88, "word": " tends", "probability": 0.69970703125}, {"start": 1004.88, "end": 1005.18, "word": " to", "probability": 0.9423828125}, {"start": 1005.18, "end": 1006.16, "word": " infinity", "probability": 0.8232421875}, {"start": 1006.16, "end": 1007.38, "word": " لن", "probability": 0.837646484375}, {"start": 1007.38, "end": 1008.16, "word": " absolute", "probability": 0.91357421875}, {"start": 1008.16, "end": 1009.1, "word": " value", "probability": 0.98974609375}, {"start": 1009.1, "end": 1009.7, "word": " لن", "probability": 0.9765625}, {"start": 1009.7, "end": 1010.02, "word": " ال", "probability": 0.7548828125}, {"start": 1010.02, "end": 1010.38, "word": " B", "probability": 0.93408203125}, {"start": 1010.38, "end": 1011.54, "word": " نقص", "probability": 0.8157552083333334}, {"start": 1011.54, "end": 1012.1, "word": " لن", "probability": 0.957275390625}, {"start": 1012.1, "end": 1012.8, "word": " absolute", "probability": 0.9599609375}, {"start": 1012.8, "end": 1013.78, "word": " value", "probability": 0.986328125}, {"start": 1013.78, "end": 1014.72, "word": " لن", "probability": 0.922607421875}, {"start": 1014.72, "end": 1015.4, "word": " اتنين", "probability": 0.9794921875}, {"start": 1015.4, "end": 1015.76, "word": " Y", "probability": 0.74169921875}, {"start": 1015.76, "end": 1016.54, "word": " ساوي", "probability": 0.6814778645833334}], "temperature": 1.0}, {"id": 43, "seek": 104702, "start": 1017.48, "end": 1047.02, "text": "لما بيبدها تروح الى infinity لن ال infinity و كمان لن ال infinity ب infinity ناقص رقم بيعطيني قداش يبقى تكامل ماله ضعيفات يبقى باجي بقول سا تكامل من اتنين ل infinity لواحد على X لن ال X بالنسبة ل X ماله هذا", "tokens": [1211, 15042, 4724, 1829, 44510, 11296, 6055, 32887, 5016, 2423, 7578, 13202, 5296, 1863, 2423, 13202, 4032, 9122, 2304, 7649, 5296, 1863, 2423, 13202, 4724, 13202, 8717, 995, 4587, 9381, 12602, 4587, 2304, 4724, 40228, 9566, 9957, 1829, 12174, 3215, 33599, 7251, 3555, 4587, 7578, 6055, 4117, 10943, 1211, 3714, 6027, 3224, 48812, 3615, 33911, 9307, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 8608, 995, 6055, 4117, 10943, 1211, 9154, 1975, 2655, 1863, 9957, 5296, 13202, 5296, 14407, 24401, 15844, 1783, 5296, 1863, 2423, 1783, 20666, 1863, 35457, 3660, 5296, 1783, 3714, 6027, 3224, 23758], "avg_logprob": -0.2179528126607136, "compression_ratio": 1.847457627118644, "no_speech_prob": 0.0, "words": [{"start": 1017.48, "end": 1017.96, "word": "لما", "probability": 0.60595703125}, {"start": 1017.96, "end": 1018.52, "word": " بيبدها", "probability": 0.628173828125}, {"start": 1018.52, "end": 1018.94, "word": " تروح", "probability": 0.9845377604166666}, {"start": 1018.94, "end": 1019.24, "word": " الى", "probability": 0.651611328125}, {"start": 1019.24, "end": 1019.8, "word": " infinity", "probability": 0.68017578125}, {"start": 1019.8, "end": 1020.4, "word": " لن", "probability": 0.798095703125}, {"start": 1020.4, "end": 1020.66, "word": " ال", "probability": 0.97021484375}, {"start": 1020.66, "end": 1021.56, "word": " infinity", "probability": 0.7626953125}, {"start": 1021.56, "end": 1022.84, "word": " و", "probability": 0.849609375}, {"start": 1022.84, "end": 1023.4, "word": " كمان", "probability": 0.7692057291666666}, {"start": 1023.4, "end": 1023.76, "word": " لن", "probability": 0.9853515625}, {"start": 1023.76, "end": 1023.94, "word": " ال", "probability": 0.9833984375}, {"start": 1023.94, "end": 1024.72, "word": " infinity", "probability": 0.931640625}, {"start": 1024.72, "end": 1025.06, "word": " ب", "probability": 0.5537109375}, {"start": 1025.06, "end": 1025.68, "word": " infinity", "probability": 0.451171875}, {"start": 1025.68, "end": 1026.68, "word": " ناقص", "probability": 0.917236328125}, {"start": 1026.68, "end": 1027.2, "word": " رقم", "probability": 0.9855143229166666}, {"start": 1027.2, "end": 1027.84, "word": " بيعطيني", "probability": 0.7185546875}, {"start": 1027.84, "end": 1028.54, "word": " قداش", "probability": 0.80712890625}, {"start": 1028.54, "end": 1029.58, "word": " يبقى", "probability": 0.959228515625}, {"start": 1029.58, "end": 1030.56, "word": " تكامل", "probability": 0.971435546875}, {"start": 1030.56, "end": 1032.26, "word": " ماله", "probability": 0.779052734375}, {"start": 1032.26, "end": 1033.78, "word": " ضعيفات", "probability": 0.71905517578125}, {"start": 1033.78, "end": 1034.56, "word": " يبقى", "probability": 0.9698486328125}, {"start": 1034.56, "end": 1034.94, "word": " باجي", "probability": 0.919921875}, {"start": 1034.94, "end": 1035.3, "word": " بقول", "probability": 0.963623046875}, {"start": 1035.3, "end": 1035.96, "word": " سا", "probability": 0.573486328125}, {"start": 1035.96, "end": 1037.52, "word": " تكامل", "probability": 0.9603271484375}, {"start": 1037.52, "end": 1037.84, "word": " من", "probability": 0.99267578125}, {"start": 1037.84, "end": 1038.5, "word": " اتنين", "probability": 0.8916015625}, {"start": 1038.5, "end": 1038.68, "word": " ل", "probability": 0.9521484375}, {"start": 1038.68, "end": 1039.54, "word": " infinity", "probability": 0.53515625}, {"start": 1039.54, "end": 1040.88, "word": " لواحد", "probability": 0.85400390625}, {"start": 1040.88, "end": 1041.28, "word": " على", "probability": 0.69189453125}, {"start": 1041.28, "end": 1041.78, "word": " X", "probability": 0.458251953125}, {"start": 1041.78, "end": 1042.32, "word": " لن", "probability": 0.96435546875}, {"start": 1042.32, "end": 1042.54, "word": " ال", "probability": 0.91162109375}, {"start": 1042.54, "end": 1042.94, "word": " X", "probability": 0.98046875}, {"start": 1042.94, "end": 1044.28, "word": " بالنسبة", "probability": 0.92041015625}, {"start": 1044.28, "end": 1044.66, "word": " ل", "probability": 0.422119140625}, {"start": 1044.66, "end": 1045.56, "word": " X", "probability": 0.73583984375}, {"start": 1045.56, "end": 1046.54, "word": " ماله", "probability": 0.8844401041666666}, {"start": 1046.54, "end": 1047.02, "word": " هذا", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 44, "seek": 107709, "start": 1047.48, "end": 1077.1, "text": "by where يبقى بال integral test series of absolute values مالها by where يبقى باجي بقوله هنا هذا بدي يعطينا by the integral test the series of absolute values by where", "tokens": [2322, 689, 7251, 3555, 4587, 7578, 20666, 11573, 1500, 2638, 295, 8236, 4190, 19446, 1211, 11296, 538, 689, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 23758, 4724, 16254, 37495, 9566, 1829, 8315, 538, 264, 11573, 1500, 264, 2638, 295, 8236, 4190, 538, 689], "avg_logprob": -0.3059895833333333, "compression_ratio": 1.5681818181818181, "no_speech_prob": 0.0, "words": [{"start": 1047.48, "end": 1047.9, "word": "by", "probability": 0.1978759765625}, {"start": 1047.9, "end": 1048.42, "word": " where", "probability": 0.1903076171875}, {"start": 1048.42, "end": 1049.68, "word": " يبقى", "probability": 0.889404296875}, {"start": 1049.68, "end": 1049.9, "word": " بال", "probability": 0.943359375}, {"start": 1049.9, "end": 1050.56, "word": " integral", "probability": 0.0771484375}, {"start": 1050.56, "end": 1051.26, "word": " test", "probability": 0.927734375}, {"start": 1051.26, "end": 1051.76, "word": " series", "probability": 0.438232421875}, {"start": 1051.76, "end": 1052.1, "word": " of", "probability": 0.9501953125}, {"start": 1052.1, "end": 1052.84, "word": " absolute", "probability": 0.904296875}, {"start": 1052.84, "end": 1053.36, "word": " values", "probability": 0.892578125}, {"start": 1053.36, "end": 1053.96, "word": " مالها", "probability": 0.6802571614583334}, {"start": 1053.96, "end": 1054.8, "word": " by", "probability": 0.701171875}, {"start": 1054.8, "end": 1055.36, "word": " where", "probability": 0.9013671875}, {"start": 1055.36, "end": 1056.06, "word": " يبقى", "probability": 0.9434814453125}, {"start": 1056.06, "end": 1056.46, "word": " باجي", "probability": 0.8522135416666666}, {"start": 1056.46, "end": 1057.16, "word": " بقوله", "probability": 0.671875}, {"start": 1057.16, "end": 1057.62, "word": " هنا", "probability": 0.9296875}, {"start": 1057.62, "end": 1058.26, "word": " هذا", "probability": 0.7255859375}, {"start": 1058.26, "end": 1058.64, "word": " بدي", "probability": 0.701904296875}, {"start": 1058.64, "end": 1059.46, "word": " يعطينا", "probability": 0.915283203125}, {"start": 1059.46, "end": 1060.56, "word": " by", "probability": 0.92578125}, {"start": 1060.56, "end": 1061.74, "word": " the", "probability": 0.91357421875}, {"start": 1061.74, "end": 1063.5, "word": " integral", "probability": 0.78076171875}, {"start": 1063.5, "end": 1065.38, "word": " test", "probability": 0.931640625}, {"start": 1065.38, "end": 1066.38, "word": " the", "probability": 0.61328125}, {"start": 1066.38, "end": 1067.24, "word": " series", "probability": 0.916015625}, {"start": 1067.24, "end": 1069.84, "word": " of", "probability": 0.96875}, {"start": 1069.84, "end": 1071.62, "word": " absolute", "probability": 0.9345703125}, {"start": 1071.62, "end": 1074.44, "word": " values", "probability": 0.96728515625}, {"start": 1074.44, "end": 1076.64, "word": " by", "probability": 0.89892578125}, {"start": 1076.64, "end": 1077.1, "word": " where", "probability": 0.95556640625}], "temperature": 1.0}, {"id": 45, "seek": 110661, "start": 1078.5, "end": 1106.62, "text": "ما دام diverge يبقى ال series الأصلية ما لها؟ مش عارفين هل هي converge ولا diverge؟ الله أعلم يبقى بنروح على مين؟ على الشروط التلاتة إذا اتحققوا الشروط التلاتة بصير converge conditionally اختل الشرط التالد بقول ال series ما لها؟ diverse طيب شفوي", "tokens": [15042, 11778, 10943, 18558, 432, 7251, 3555, 4587, 7578, 2423, 2638, 16247, 36520, 10632, 19446, 5296, 11296, 22807, 37893, 6225, 9640, 5172, 9957, 8032, 1211, 39896, 41881, 49429, 18558, 432, 22807, 21984, 5551, 3615, 19528, 7251, 3555, 4587, 7578, 44945, 32887, 5016, 15844, 3714, 9957, 22807, 15844, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 11933, 15730, 1975, 2655, 5016, 4587, 4587, 14407, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 4724, 9381, 13546, 41881, 4188, 379, 1975, 46456, 1211, 25124, 2288, 9566, 16712, 6027, 3215, 4724, 39648, 2423, 2638, 19446, 5296, 11296, 22807, 9521, 23032, 1829, 3555, 13412, 5172, 45865], "avg_logprob": -0.2023437438905239, "compression_ratio": 1.820754716981132, "no_speech_prob": 0.0, "words": [{"start": 1078.5, "end": 1078.78, "word": "ما", "probability": 0.094482421875}, {"start": 1078.78, "end": 1079.08, "word": " دام", "probability": 0.805908203125}, {"start": 1079.08, "end": 1079.74, "word": " diverge", "probability": 0.454833984375}, {"start": 1079.74, "end": 1079.98, "word": " يبقى", "probability": 0.8448486328125}, {"start": 1079.98, "end": 1080.14, "word": " ال", "probability": 0.80859375}, {"start": 1080.14, "end": 1080.3, "word": " series", "probability": 0.71728515625}, {"start": 1080.3, "end": 1081.38, "word": " الأصلية", "probability": 0.72216796875}, {"start": 1081.38, "end": 1081.94, "word": " ما", "probability": 0.72265625}, {"start": 1081.94, "end": 1082.6, "word": " لها؟", "probability": 0.6497395833333334}, {"start": 1082.6, "end": 1083.76, "word": " مش", "probability": 0.7373046875}, {"start": 1083.76, "end": 1084.68, "word": " عارفين", "probability": 0.99658203125}, {"start": 1084.68, "end": 1085.54, "word": " هل", "probability": 0.861328125}, {"start": 1085.54, "end": 1085.72, "word": " هي", "probability": 0.85205078125}, {"start": 1085.72, "end": 1086.4, "word": " converge", "probability": 0.88330078125}, {"start": 1086.4, "end": 1086.66, "word": " ولا", "probability": 0.58984375}, {"start": 1086.66, "end": 1087.54, "word": " diverge؟", "probability": 0.6612141927083334}, {"start": 1087.54, "end": 1088.04, "word": " الله", "probability": 0.8876953125}, {"start": 1088.04, "end": 1088.9, "word": " أعلم", "probability": 0.98681640625}, {"start": 1088.9, "end": 1089.86, "word": " يبقى", "probability": 0.8988037109375}, {"start": 1089.86, "end": 1090.32, "word": " بنروح", "probability": 0.9501953125}, {"start": 1090.32, "end": 1090.5, "word": " على", "probability": 0.62060546875}, {"start": 1090.5, "end": 1091.12, "word": " مين؟", "probability": 0.7442220052083334}, {"start": 1091.12, "end": 1092.24, "word": " على", "probability": 0.8759765625}, {"start": 1092.24, "end": 1093.0, "word": " الشروط", "probability": 0.9269205729166666}, {"start": 1093.0, "end": 1093.86, "word": " التلاتة", "probability": 0.9383544921875}, {"start": 1093.86, "end": 1094.54, "word": " إذا", "probability": 0.83544921875}, {"start": 1094.54, "end": 1095.4, "word": " اتحققوا", "probability": 0.919189453125}, {"start": 1095.4, "end": 1095.94, "word": " الشروط", "probability": 0.9772135416666666}, {"start": 1095.94, "end": 1097.24, "word": " التلاتة", "probability": 0.9871826171875}, {"start": 1097.24, "end": 1097.86, "word": " بصير", "probability": 0.8478190104166666}, {"start": 1097.86, "end": 1098.54, "word": " converge", "probability": 0.89794921875}, {"start": 1098.54, "end": 1099.78, "word": " conditionally", "probability": 0.84228515625}, {"start": 1099.78, "end": 1100.76, "word": " اختل", "probability": 0.9099934895833334}, {"start": 1100.76, "end": 1101.4, "word": " الشرط", "probability": 0.97314453125}, {"start": 1101.4, "end": 1102.16, "word": " التالد", "probability": 0.9508463541666666}, {"start": 1102.16, "end": 1103.06, "word": " بقول", "probability": 0.86328125}, {"start": 1103.06, "end": 1103.24, "word": " ال", "probability": 0.91259765625}, {"start": 1103.24, "end": 1103.54, "word": " series", "probability": 0.9658203125}, {"start": 1103.54, "end": 1103.92, "word": " ما", "probability": 0.94970703125}, {"start": 1103.92, "end": 1104.5, "word": " لها؟", "probability": 0.8870442708333334}, {"start": 1104.5, "end": 1105.5, "word": " diverse", "probability": 0.426513671875}, {"start": 1105.5, "end": 1105.96, "word": " طيب", "probability": 0.8779296875}, {"start": 1105.96, "end": 1106.62, "word": " شفوي", "probability": 0.86572265625}], "temperature": 1.0}, {"id": 46, "seek": 112940, "start": 1107.22, "end": 1129.4, "text": "لو جيت على الشرط التالت لذا اللي هذي واخدتله ال limit او هذا اخدتله ال limit لما ال N بدا تروح للملنة يعني كدهش نتج بيطلع يعني الشرط التالت محقق يعني بتروح ادور على الشرطين الاتنين الأولاني الشرط الأولاني الشرط الأولاني هل", "tokens": [1211, 2407, 10874, 36081, 15844, 25124, 2288, 9566, 16712, 6027, 2655, 5296, 15730, 13672, 1829, 8032, 8848, 1829, 4032, 47283, 3215, 2655, 43761, 2423, 4948, 1975, 2407, 23758, 1975, 9778, 3215, 2655, 43761, 2423, 4948, 5296, 15042, 2423, 426, 4724, 28259, 6055, 32887, 5016, 5296, 19528, 1211, 1863, 3660, 37495, 22653, 9122, 3215, 3224, 8592, 8717, 2655, 7435, 4724, 1829, 9566, 1211, 3615, 37495, 22653, 25124, 2288, 9566, 16712, 6027, 2655, 3714, 5016, 4587, 4587, 37495, 22653, 39894, 32887, 5016, 1975, 3215, 13063, 15844, 25124, 2288, 9566, 9957, 2423, 9307, 1863, 9957, 16247, 12610, 7649, 1829, 25124, 2288, 9566, 16247, 12610, 7649, 1829, 25124, 2288, 9566, 16247, 12610, 7649, 1829, 8032, 1211], "avg_logprob": -0.2804203624218966, "compression_ratio": 2.214689265536723, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1107.22, "end": 1107.66, "word": "لو", "probability": 0.9150390625}, {"start": 1107.66, "end": 1108.14, "word": " جيت", "probability": 0.966552734375}, {"start": 1108.14, "end": 1108.5, "word": " على", "probability": 0.84521484375}, {"start": 1108.5, "end": 1109.1, "word": " الشرط", "probability": 0.9700520833333334}, {"start": 1109.1, "end": 1109.8, "word": " التالت", "probability": 0.9661458333333334}, {"start": 1109.8, "end": 1110.28, "word": " لذا", "probability": 0.33453369140625}, {"start": 1110.28, "end": 1110.54, "word": " اللي", "probability": 0.663818359375}, {"start": 1110.54, "end": 1110.84, "word": " هذي", "probability": 0.6044921875}, {"start": 1110.84, "end": 1111.54, "word": " واخدتله", "probability": 0.692529296875}, {"start": 1111.54, "end": 1111.72, "word": " ال", "probability": 0.76318359375}, {"start": 1111.72, "end": 1112.32, "word": " limit", "probability": 0.89794921875}, {"start": 1112.32, "end": 1112.98, "word": " او", "probability": 0.728515625}, {"start": 1112.98, "end": 1113.28, "word": " هذا", "probability": 0.55908203125}, {"start": 1113.28, "end": 1113.82, "word": " اخدتله", "probability": 0.721875}, {"start": 1113.82, "end": 1113.96, "word": " ال", "probability": 0.91943359375}, {"start": 1113.96, "end": 1114.3, "word": " limit", "probability": 0.9765625}, {"start": 1114.3, "end": 1115.04, "word": " لما", "probability": 0.864013671875}, {"start": 1115.04, "end": 1115.22, "word": " ال", "probability": 0.97900390625}, {"start": 1115.22, "end": 1115.4, "word": " N", "probability": 0.29052734375}, {"start": 1115.4, "end": 1115.6, "word": " بدا", "probability": 0.4610595703125}, {"start": 1115.6, "end": 1115.96, "word": " تروح", "probability": 0.9895833333333334}, {"start": 1115.96, "end": 1116.52, "word": " للملنة", "probability": 0.569091796875}, {"start": 1116.52, "end": 1116.66, "word": " يعني", "probability": 0.5841064453125}, {"start": 1116.66, "end": 1117.0, "word": " كدهش", "probability": 0.723388671875}, {"start": 1117.0, "end": 1117.36, "word": " نتج", "probability": 0.673095703125}, {"start": 1117.36, "end": 1117.94, "word": " بيطلع", "probability": 0.97998046875}, {"start": 1117.94, "end": 1118.8, "word": " يعني", "probability": 0.890380859375}, {"start": 1118.8, "end": 1119.22, "word": " الشرط", "probability": 0.98779296875}, {"start": 1119.22, "end": 1119.92, "word": " التالت", "probability": 0.99365234375}, {"start": 1119.92, "end": 1121.02, "word": " محقق", "probability": 0.85498046875}, {"start": 1121.02, "end": 1121.12, "word": " يعني", "probability": 0.648193359375}, {"start": 1121.12, "end": 1121.62, "word": " بتروح", "probability": 0.7073160807291666}, {"start": 1121.62, "end": 1121.98, "word": " ادور", "probability": 0.8155924479166666}, {"start": 1121.98, "end": 1122.22, "word": " على", "probability": 0.86669921875}, {"start": 1122.22, "end": 1122.76, "word": " الشرطين", "probability": 0.9710693359375}, {"start": 1122.76, "end": 1123.22, "word": " الاتنين", "probability": 0.776123046875}, {"start": 1123.22, "end": 1123.96, "word": " الأولاني", "probability": 0.722412109375}, {"start": 1123.96, "end": 1125.3, "word": " الشرط", "probability": 0.9064127604166666}, {"start": 1125.3, "end": 1126.64, "word": " الأولاني", "probability": 0.9744873046875}, {"start": 1126.64, "end": 1128.14, "word": " الشرط", "probability": 0.81298828125}, {"start": 1128.14, "end": 1128.86, "word": " الأولاني", "probability": 0.967529296875}, {"start": 1128.86, "end": 1129.4, "word": " هل", "probability": 0.956787109375}], "temperature": 1.0}, {"id": 47, "seek": 115016, "start": 1129.68, "end": 1150.16, "text": "في يوم من الأيام هذا بياخد قيمة سلبة من اتنين فصاعدا اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي اللي", "tokens": [41185, 7251, 20498, 9154, 16247, 1829, 10943, 23758, 4724, 1829, 47283, 3215, 12174, 32640, 3660, 8608, 46152, 3660, 9154, 1975, 2655, 1863, 9957, 6156, 9381, 995, 22488, 995, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829, 13672, 1829], "avg_logprob": -0.05211805608537462, "compression_ratio": 10.382978723404255, "no_speech_prob": 0.0, "words": [{"start": 1129.68, "end": 1129.94, "word": "في", "probability": 0.92236328125}, {"start": 1129.94, "end": 1130.26, "word": " يوم", "probability": 0.969482421875}, {"start": 1130.26, "end": 1130.48, "word": " من", "probability": 0.9951171875}, {"start": 1130.48, "end": 1131.3, "word": " الأيام", "probability": 0.9768880208333334}, {"start": 1131.3, "end": 1131.7, "word": " هذا", "probability": 0.6669921875}, {"start": 1131.7, "end": 1132.34, "word": " بياخد", "probability": 0.9417724609375}, {"start": 1132.34, "end": 1132.92, "word": " قيمة", "probability": 0.9807942708333334}, {"start": 1132.92, "end": 1133.32, "word": " سلبة", "probability": 0.7654622395833334}, {"start": 1133.32, "end": 1133.52, "word": " من", "probability": 0.99267578125}, {"start": 1133.52, "end": 1134.2, "word": " اتنين", "probability": 0.886474609375}, {"start": 1134.2, "end": 1135.96, "word": " فصاعدا", "probability": 0.8998046875}, {"start": 1135.96, "end": 1136.46, "word": " اللي", "probability": 0.5799560546875}, {"start": 1136.46, "end": 1137.7, "word": " اللي", "probability": 0.6046142578125}, {"start": 1137.7, "end": 1138.14, "word": " اللي", "probability": 0.89306640625}, {"start": 1138.14, "end": 1138.2, "word": " اللي", "probability": 0.95263671875}, {"start": 1138.2, "end": 1138.38, "word": " اللي", "probability": 0.970703125}, {"start": 1138.38, "end": 1138.68, "word": " اللي", "probability": 0.982666015625}, {"start": 1138.68, "end": 1138.7, "word": " اللي", "probability": 0.988525390625}, {"start": 1138.7, "end": 1138.7, "word": " اللي", "probability": 0.991455078125}, {"start": 1138.7, "end": 1138.7, "word": " اللي", "probability": 0.992919921875}, {"start": 1138.7, "end": 1138.7, "word": " اللي", "probability": 0.993408203125}, {"start": 1138.7, "end": 1138.7, "word": " اللي", "probability": 0.99365234375}, {"start": 1138.7, "end": 1138.7, "word": " اللي", "probability": 0.9931640625}, {"start": 1138.7, "end": 1138.72, "word": " اللي", "probability": 0.992919921875}, {"start": 1138.72, "end": 1138.72, "word": " اللي", "probability": 0.992431640625}, {"start": 1138.72, "end": 1138.78, "word": " اللي", "probability": 0.9921875}, {"start": 1138.78, "end": 1138.78, "word": " اللي", "probability": 0.9912109375}, {"start": 1138.78, "end": 1138.78, "word": " اللي", "probability": 0.99072265625}, {"start": 1138.78, "end": 1138.78, "word": " اللي", "probability": 0.990478515625}, {"start": 1138.78, "end": 1138.78, "word": " اللي", "probability": 0.989990234375}, {"start": 1138.78, "end": 1138.78, "word": " اللي", "probability": 0.9892578125}, {"start": 1138.78, "end": 1138.78, "word": " اللي", "probability": 0.989013671875}, {"start": 1138.78, "end": 1138.78, "word": " اللي", "probability": 0.988525390625}, {"start": 1138.78, "end": 1138.78, "word": " اللي", "probability": 0.988037109375}, {"start": 1138.78, "end": 1139.16, "word": " اللي", "probability": 0.987548828125}, {"start": 1139.16, "end": 1139.46, "word": " اللي", "probability": 0.987060546875}, {"start": 1139.46, "end": 1139.6, "word": " اللي", "probability": 0.986572265625}, {"start": 1139.6, "end": 1139.6, "word": " اللي", "probability": 0.98583984375}, {"start": 1139.6, "end": 1139.6, "word": " اللي", "probability": 0.985107421875}, {"start": 1139.6, "end": 1139.6, "word": " اللي", "probability": 0.98486328125}, {"start": 1139.6, "end": 1139.6, "word": " اللي", "probability": 0.984375}, {"start": 1139.6, "end": 1139.6, "word": " اللي", "probability": 0.9833984375}, {"start": 1139.6, "end": 1139.6, "word": " اللي", "probability": 0.98291015625}, {"start": 1139.6, "end": 1139.62, "word": " اللي", "probability": 0.98193359375}, {"start": 1139.62, "end": 1139.62, "word": " اللي", "probability": 0.9814453125}, {"start": 1139.62, "end": 1139.62, "word": " اللي", "probability": 0.980712890625}, {"start": 1139.62, "end": 1139.62, "word": " اللي", "probability": 0.97998046875}, {"start": 1139.62, "end": 1139.62, "word": " اللي", "probability": 0.979248046875}, {"start": 1139.62, "end": 1139.72, "word": " اللي", "probability": 0.978759765625}, {"start": 1139.72, "end": 1139.72, "word": " اللي", "probability": 0.977783203125}, {"start": 1139.72, "end": 1140.1, "word": " اللي", "probability": 0.97705078125}, {"start": 1140.1, "end": 1140.1, "word": " اللي", "probability": 0.976806640625}, {"start": 1140.1, "end": 1140.1, "word": " اللي", "probability": 0.97607421875}, {"start": 1140.1, "end": 1140.1, "word": " اللي", "probability": 0.975341796875}, {"start": 1140.1, "end": 1140.1, "word": " اللي", "probability": 0.975341796875}, {"start": 1140.1, "end": 1140.52, "word": " اللي", "probability": 0.974365234375}, {"start": 1140.52, "end": 1140.52, "word": " اللي", "probability": 0.973876953125}, {"start": 1140.52, "end": 1140.68, "word": " اللي", "probability": 0.9736328125}, {"start": 1140.68, "end": 1140.8, "word": " اللي", "probability": 0.97314453125}, {"start": 1140.8, "end": 1140.8, "word": " اللي", "probability": 0.97265625}, {"start": 1140.8, "end": 1140.8, "word": " اللي", "probability": 0.97216796875}, {"start": 1140.8, "end": 1140.8, "word": " اللي", "probability": 0.9716796875}, {"start": 1140.8, "end": 1140.82, "word": " اللي", "probability": 0.97119140625}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.970947265625}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.97021484375}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.969970703125}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.96923828125}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.968994140625}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.968505859375}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.968505859375}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.96826171875}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.968017578125}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.967041015625}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.966552734375}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.966064453125}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.96533203125}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.964599609375}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.96484375}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.9638671875}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.963134765625}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.962646484375}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.96142578125}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.960693359375}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.95947265625}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.958251953125}, {"start": 1140.82, "end": 1140.82, "word": " اللي", "probability": 0.957275390625}, {"start": 1140.82, "end": 1140.86, "word": " اللي", "probability": 0.95654296875}, {"start": 1140.86, "end": 1140.86, "word": " اللي", "probability": 0.954833984375}, {"start": 1140.86, "end": 1140.86, "word": " اللي", "probability": 0.954345703125}, {"start": 1140.86, "end": 1140.86, "word": " اللي", "probability": 0.952880859375}, {"start": 1140.86, "end": 1140.86, "word": " اللي", "probability": 0.951904296875}, {"start": 1140.86, "end": 1140.86, "word": " اللي", "probability": 0.95068359375}, {"start": 1140.86, "end": 1140.86, "word": " اللي", "probability": 0.948974609375}, {"start": 1140.86, "end": 1140.86, "word": " اللي", "probability": 0.947998046875}, {"start": 1140.86, "end": 1140.86, "word": " اللي", "probability": 0.94580078125}, {"start": 1140.86, "end": 1141.32, "word": " اللي", "probability": 0.944091796875}, {"start": 1141.32, "end": 1141.34, "word": " اللي", "probability": 0.94287109375}, {"start": 1141.34, "end": 1141.34, "word": " اللي", "probability": 0.94140625}, {"start": 1141.34, "end": 1141.34, "word": " اللي", "probability": 0.939697265625}, {"start": 1141.34, "end": 1141.34, "word": " اللي", "probability": 0.936767578125}, {"start": 1141.34, "end": 1141.34, "word": " اللي", "probability": 0.935302734375}, {"start": 1141.34, "end": 1141.34, "word": " اللي", "probability": 0.934814453125}, {"start": 1141.34, "end": 1141.34, "word": " اللي", "probability": 0.93212890625}, {"start": 1141.34, "end": 1141.34, "word": " اللي", "probability": 0.93017578125}, {"start": 1141.34, "end": 1141.34, "word": " اللي", "probability": 0.92919921875}, {"start": 1141.34, "end": 1141.46, "word": " اللي", "probability": 0.927490234375}, {"start": 1141.46, "end": 1141.46, "word": " اللي", "probability": 0.924560546875}, {"start": 1141.46, "end": 1150.16, "word": " اللي", "probability": 0.922119140625}, {"start": 1150.16, "end": 1150.16, "word": " اللي", "probability": 0.92138671875}], "temperature": 1.0}, {"id": 48, "seek": 118070, "start": 1151.82, "end": 1180.7, "text": "الشرط هذا محقق لكل الان اللي اكبر من او تساوي اتنين الشرط الثاني الان اللي هو واحد على ان لان الان اكبر من الان زائد واحد اللي هو واحد على ان زائد واحد لان الان زائد واحد لكل الان اللي اكبر من او يساوي اتنين هذا الشرط الثاني اللي هو مين", "tokens": [6027, 8592, 2288, 9566, 23758, 3714, 5016, 4587, 4587, 5296, 28820, 2423, 7649, 13672, 1829, 1975, 4117, 26890, 9154, 1975, 2407, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 25124, 2288, 9566, 6024, 104, 7649, 1829, 2423, 7649, 13672, 1829, 31439, 36764, 24401, 15844, 16472, 5296, 7649, 2423, 7649, 1975, 4117, 26890, 9154, 2423, 7649, 30767, 16373, 3215, 36764, 24401, 13672, 1829, 31439, 36764, 24401, 15844, 16472, 30767, 16373, 3215, 36764, 24401, 5296, 7649, 2423, 7649, 30767, 16373, 3215, 36764, 24401, 5296, 28820, 2423, 7649, 13672, 1829, 1975, 4117, 26890, 9154, 1975, 2407, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 23758, 25124, 2288, 9566, 6024, 104, 7649, 1829, 13672, 1829, 31439, 3714, 9957], "avg_logprob": -0.17418478286784628, "compression_ratio": 2.9305555555555554, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1151.82, "end": 1152.02, "word": "الشرط", "probability": 0.67388916015625}, {"start": 1152.02, "end": 1152.48, "word": " هذا", "probability": 0.21337890625}, {"start": 1152.48, "end": 1153.68, "word": " محقق", "probability": 0.9615478515625}, {"start": 1153.68, "end": 1154.58, "word": " لكل", "probability": 0.9482421875}, {"start": 1154.58, "end": 1155.24, "word": " الان", "probability": 0.53173828125}, {"start": 1155.24, "end": 1155.6, "word": " اللي", "probability": 0.792236328125}, {"start": 1155.6, "end": 1156.16, "word": " اكبر", "probability": 0.8036295572916666}, {"start": 1156.16, "end": 1156.44, "word": " من", "probability": 0.98388671875}, {"start": 1156.44, "end": 1156.76, "word": " او", "probability": 0.8203125}, {"start": 1156.76, "end": 1157.38, "word": " تساوي", "probability": 0.8094482421875}, {"start": 1157.38, "end": 1157.88, "word": " اتنين", "probability": 0.8818359375}, {"start": 1157.88, "end": 1159.5, "word": " الشرط", "probability": 0.7903645833333334}, {"start": 1159.5, "end": 1160.44, "word": " الثاني", "probability": 0.9266357421875}, {"start": 1160.44, "end": 1161.88, "word": " الان", "probability": 0.4237060546875}, {"start": 1161.88, "end": 1162.38, "word": " اللي", "probability": 0.842041015625}, {"start": 1162.38, "end": 1162.58, "word": " هو", "probability": 0.916015625}, {"start": 1162.58, "end": 1163.02, "word": " واحد", "probability": 0.932861328125}, {"start": 1163.02, "end": 1163.32, "word": " على", "probability": 0.62841796875}, {"start": 1163.32, "end": 1163.76, "word": " ان", "probability": 0.77392578125}, {"start": 1163.76, "end": 1164.3, "word": " لان", "probability": 0.787109375}, {"start": 1164.3, "end": 1164.96, "word": " الان", "probability": 0.939697265625}, {"start": 1164.96, "end": 1166.08, "word": " اكبر", "probability": 0.9495442708333334}, {"start": 1166.08, "end": 1166.34, "word": " من", "probability": 0.98876953125}, {"start": 1166.34, "end": 1166.86, "word": " الان", "probability": 0.72900390625}, {"start": 1166.86, "end": 1167.46, "word": " زائد", "probability": 0.888671875}, {"start": 1167.46, "end": 1168.04, "word": " واحد", "probability": 0.98876953125}, {"start": 1168.04, "end": 1168.26, "word": " اللي", "probability": 0.92919921875}, {"start": 1168.26, "end": 1168.44, "word": " هو", "probability": 0.98583984375}, {"start": 1168.44, "end": 1169.18, "word": " واحد", "probability": 0.97412109375}, {"start": 1169.18, "end": 1169.48, "word": " على", "probability": 0.8408203125}, {"start": 1169.48, "end": 1169.86, "word": " ان", "probability": 0.8818359375}, {"start": 1169.86, "end": 1170.4, "word": " زائد", "probability": 0.9541015625}, {"start": 1170.4, "end": 1171.0, "word": " واحد", "probability": 0.9873046875}, {"start": 1171.0, "end": 1172.06, "word": " لان", "probability": 0.945556640625}, {"start": 1172.06, "end": 1172.68, "word": " الان", "probability": 0.97216796875}, {"start": 1172.68, "end": 1173.22, "word": " زائد", "probability": 0.90234375}, {"start": 1173.22, "end": 1173.68, "word": " واحد", "probability": 0.98876953125}, {"start": 1173.68, "end": 1174.48, "word": " لكل", "probability": 0.975830078125}, {"start": 1174.48, "end": 1175.14, "word": " الان", "probability": 0.9296875}, {"start": 1175.14, "end": 1175.44, "word": " اللي", "probability": 0.982177734375}, {"start": 1175.44, "end": 1176.06, "word": " اكبر", "probability": 0.9493815104166666}, {"start": 1176.06, "end": 1176.28, "word": " من", "probability": 0.99462890625}, {"start": 1176.28, "end": 1176.6, "word": " او", "probability": 0.9091796875}, {"start": 1176.6, "end": 1177.18, "word": " يساوي", "probability": 0.9752197265625}, {"start": 1177.18, "end": 1177.74, "word": " اتنين", "probability": 0.9906005859375}, {"start": 1177.74, "end": 1178.64, "word": " هذا", "probability": 0.18115234375}, {"start": 1178.64, "end": 1179.3, "word": " الشرط", "probability": 0.9816080729166666}, {"start": 1179.3, "end": 1179.8, "word": " الثاني", "probability": 0.9097900390625}, {"start": 1179.8, "end": 1179.96, "word": " اللي", "probability": 0.858154296875}, {"start": 1179.96, "end": 1180.12, "word": " هو", "probability": 0.96826171875}, {"start": 1180.12, "end": 1180.7, "word": " مين", "probability": 0.823974609375}], "temperature": 1.0}, {"id": 49, "seek": 118760, "start": 1185.15, "end": 1187.61, "text": "الشرط التالت", "tokens": [6027, 8592, 2288, 9566, 16712, 6027, 2655], "avg_logprob": -0.5039062574505806, "compression_ratio": 0.92, "no_speech_prob": 0.0, "words": [{"start": 1185.1499999999999, "end": 1186.55, "word": "الشرط", "probability": 0.566802978515625}, {"start": 1186.55, "end": 1187.61, "word": " التالت", "probability": 0.9326171875}], "temperature": 1.0}, {"id": 50, "seek": 121175, "start": 1189.79, "end": 1211.75, "text": "لما ال N تنزل لإنفينيتي لواحد على N لإن ال N واحد على ماله نهاية Zero إذا تحققت الشروط التلاتة مدام تحققت الشروط التلاتة بروح بقول له the series", "tokens": [1211, 15042, 2423, 426, 6055, 1863, 11622, 1211, 5296, 28814, 1863, 5172, 9957, 1829, 31371, 5296, 14407, 24401, 15844, 426, 5296, 28814, 1863, 2423, 426, 36764, 24401, 15844, 3714, 6027, 3224, 8717, 11296, 10632, 17182, 11933, 15730, 6055, 5016, 4587, 38149, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 3714, 3215, 10943, 6055, 5016, 4587, 38149, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 4724, 32887, 5016, 4724, 39648, 46740, 264, 2638], "avg_logprob": -0.4047095145977719, "compression_ratio": 1.6598639455782314, "no_speech_prob": 0.0, "words": [{"start": 1189.79, "end": 1191.03, "word": "لما", "probability": 0.22064208984375}, {"start": 1191.03, "end": 1191.11, "word": " ال", "probability": 0.65234375}, {"start": 1191.11, "end": 1192.67, "word": " N", "probability": 0.433349609375}, {"start": 1192.67, "end": 1193.21, "word": " تنزل", "probability": 0.51239013671875}, {"start": 1193.21, "end": 1194.03, "word": " لإنفينيتي", "probability": 0.6797572544642857}, {"start": 1194.03, "end": 1197.87, "word": " لواحد", "probability": 0.4707438151041667}, {"start": 1197.87, "end": 1198.13, "word": " على", "probability": 0.74658203125}, {"start": 1198.13, "end": 1198.59, "word": " N", "probability": 0.38720703125}, {"start": 1198.59, "end": 1199.61, "word": " لإن", "probability": 0.8138020833333334}, {"start": 1199.61, "end": 1199.91, "word": " ال", "probability": 0.6611328125}, {"start": 1199.91, "end": 1200.13, "word": " N", "probability": 0.9755859375}, {"start": 1200.13, "end": 1200.59, "word": " واحد", "probability": 0.938232421875}, {"start": 1200.59, "end": 1200.79, "word": " على", "probability": 0.79638671875}, {"start": 1200.79, "end": 1201.15, "word": " ماله", "probability": 0.657958984375}, {"start": 1201.15, "end": 1202.43, "word": " نهاية", "probability": 0.9231770833333334}, {"start": 1202.43, "end": 1203.05, "word": " Zero", "probability": 0.07171630859375}, {"start": 1203.05, "end": 1203.41, "word": " إذا", "probability": 0.618408203125}, {"start": 1203.41, "end": 1204.39, "word": " تحققت", "probability": 0.81787109375}, {"start": 1204.39, "end": 1205.03, "word": " الشروط", "probability": 0.9339192708333334}, {"start": 1205.03, "end": 1205.59, "word": " التلاتة", "probability": 0.9268798828125}, {"start": 1205.59, "end": 1205.97, "word": " مدام", "probability": 0.537841796875}, {"start": 1205.97, "end": 1206.85, "word": " تحققت", "probability": 0.88671875}, {"start": 1206.85, "end": 1207.57, "word": " الشروط", "probability": 0.9747721354166666}, {"start": 1207.57, "end": 1208.89, "word": " التلاتة", "probability": 0.974365234375}, {"start": 1208.89, "end": 1209.41, "word": " بروح", "probability": 0.9405924479166666}, {"start": 1209.41, "end": 1210.03, "word": " بقول", "probability": 0.89306640625}, {"start": 1210.03, "end": 1210.39, "word": " له", "probability": 0.450439453125}, {"start": 1210.39, "end": 1211.07, "word": " the", "probability": 0.3798828125}, {"start": 1211.07, "end": 1211.75, "word": " series", "probability": 0.87158203125}], "temperature": 1.0}, {"id": 51, "seek": 123997, "start": 1212.21, "end": 1239.97, "text": "Summation لناقص واحد to the power N plus one واحد على N لأن ال N converge conditionally يبقى معنا هذا الكلام ان احنا فعلا قاعدين بالراجع كل ما سبق الدراسة في ال sections الماضية", "tokens": [50, 40879, 399, 5296, 8315, 4587, 9381, 36764, 24401, 281, 264, 1347, 426, 1804, 472, 36764, 24401, 15844, 426, 5296, 33456, 2423, 426, 41881, 4188, 379, 7251, 3555, 4587, 7578, 20449, 8315, 23758, 2423, 28820, 10943, 16472, 1975, 5016, 8315, 6156, 3615, 15040, 12174, 995, 22488, 9957, 20666, 2288, 26108, 3615, 28242, 19446, 8608, 3555, 4587, 32748, 23557, 3794, 3660, 8978, 2423, 10863, 9673, 46958, 10632], "avg_logprob": -0.2733208990808743, "compression_ratio": 1.413978494623656, "no_speech_prob": 0.0, "words": [{"start": 1212.21, "end": 1213.41, "word": "Summation", "probability": 0.624725341796875}, {"start": 1213.41, "end": 1214.85, "word": " لناقص", "probability": 0.68560791015625}, {"start": 1214.85, "end": 1215.33, "word": " واحد", "probability": 0.96728515625}, {"start": 1215.33, "end": 1215.53, "word": " to", "probability": 0.7978515625}, {"start": 1215.53, "end": 1215.77, "word": " the", "probability": 0.9052734375}, {"start": 1215.77, "end": 1216.23, "word": " power", "probability": 0.8857421875}, {"start": 1216.23, "end": 1216.65, "word": " N", "probability": 0.2081298828125}, {"start": 1216.65, "end": 1217.21, "word": " plus", "probability": 0.48388671875}, {"start": 1217.21, "end": 1217.69, "word": " one", "probability": 0.9111328125}, {"start": 1217.69, "end": 1218.65, "word": " واحد", "probability": 0.7998046875}, {"start": 1218.65, "end": 1219.05, "word": " على", "probability": 0.81591796875}, {"start": 1219.05, "end": 1219.53, "word": " N", "probability": 0.67041015625}, {"start": 1219.53, "end": 1220.17, "word": " لأن", "probability": 0.6881103515625}, {"start": 1220.17, "end": 1220.47, "word": " ال", "probability": 0.94677734375}, {"start": 1220.47, "end": 1220.87, "word": " N", "probability": 0.67724609375}, {"start": 1220.87, "end": 1223.13, "word": " converge", "probability": 0.8603515625}, {"start": 1223.13, "end": 1225.03, "word": " conditionally", "probability": 0.918212890625}, {"start": 1225.03, "end": 1230.05, "word": " يبقى", "probability": 0.94091796875}, {"start": 1230.05, "end": 1230.37, "word": " معنا", "probability": 0.978271484375}, {"start": 1230.37, "end": 1230.65, "word": " هذا", "probability": 0.92919921875}, {"start": 1230.65, "end": 1231.25, "word": " الكلام", "probability": 0.9493815104166666}, {"start": 1231.25, "end": 1231.51, "word": " ان", "probability": 0.38720703125}, {"start": 1231.51, "end": 1231.89, "word": " احنا", "probability": 0.8361002604166666}, {"start": 1231.89, "end": 1232.53, "word": " فعلا", "probability": 0.90576171875}, {"start": 1232.53, "end": 1233.25, "word": " قاعدين", "probability": 0.78839111328125}, {"start": 1233.25, "end": 1233.93, "word": " بالراجع", "probability": 0.90283203125}, {"start": 1233.93, "end": 1234.97, "word": " كل", "probability": 0.175048828125}, {"start": 1234.97, "end": 1235.99, "word": " ما", "probability": 0.8857421875}, {"start": 1235.99, "end": 1236.39, "word": " سبق", "probability": 0.8834635416666666}, {"start": 1236.39, "end": 1236.97, "word": " الدراسة", "probability": 0.8291015625}, {"start": 1236.97, "end": 1237.09, "word": " في", "probability": 0.919921875}, {"start": 1237.09, "end": 1237.25, "word": " ال", "probability": 0.6591796875}, {"start": 1237.25, "end": 1237.97, "word": " sections", "probability": 0.80810546875}, {"start": 1237.97, "end": 1239.97, "word": " الماضية", "probability": 0.9708658854166666}], "temperature": 1.0}, {"id": 52, "seek": 126909, "start": 1240.8, "end": 1269.1, "text": "طب السؤال التالت بيقول ال summation من n equal one to infinity لسلب واحد to the power n لصين ال n على n تربية بدنا ناخد بنفس الطريقة the series of absolute values the series", "tokens": [9566, 3555, 21136, 33604, 6027, 16712, 6027, 2655, 4724, 1829, 39648, 2423, 28811, 9154, 297, 2681, 472, 281, 13202, 5296, 3794, 46152, 36764, 24401, 281, 264, 1347, 297, 5296, 9381, 9957, 2423, 297, 15844, 297, 6055, 25513, 10632, 47525, 8315, 8717, 47283, 3215, 44945, 36178, 41950, 16572, 28671, 264, 2638, 295, 8236, 4190, 264, 2638], "avg_logprob": -0.2677176200917789, "compression_ratio": 1.3941176470588235, "no_speech_prob": 0.0, "words": [{"start": 1240.8, "end": 1241.1, "word": "طب", "probability": 0.48150634765625}, {"start": 1241.1, "end": 1241.62, "word": " السؤال", "probability": 0.986328125}, {"start": 1241.62, "end": 1242.4, "word": " التالت", "probability": 0.9679361979166666}, {"start": 1242.4, "end": 1243.4, "word": " بيقول", "probability": 0.7428385416666666}, {"start": 1243.4, "end": 1243.64, "word": " ال", "probability": 0.2578125}, {"start": 1243.64, "end": 1244.62, "word": " summation", "probability": 0.52978515625}, {"start": 1244.62, "end": 1245.58, "word": " من", "probability": 0.904296875}, {"start": 1245.58, "end": 1246.02, "word": " n", "probability": 0.59619140625}, {"start": 1246.02, "end": 1246.46, "word": " equal", "probability": 0.132080078125}, {"start": 1246.46, "end": 1246.86, "word": " one", "probability": 0.7666015625}, {"start": 1246.86, "end": 1247.16, "word": " to", "probability": 0.93212890625}, {"start": 1247.16, "end": 1248.1, "word": " infinity", "probability": 0.85791015625}, {"start": 1248.1, "end": 1249.5, "word": " لسلب", "probability": 0.6925455729166666}, {"start": 1249.5, "end": 1250.06, "word": " واحد", "probability": 0.980712890625}, {"start": 1250.06, "end": 1250.36, "word": " to", "probability": 0.9677734375}, {"start": 1250.36, "end": 1250.6, "word": " the", "probability": 0.91552734375}, {"start": 1250.6, "end": 1251.2, "word": " power", "probability": 0.89501953125}, {"start": 1251.2, "end": 1251.8, "word": " n", "probability": 0.446533203125}, {"start": 1251.8, "end": 1253.42, "word": " لصين", "probability": 0.9202473958333334}, {"start": 1253.42, "end": 1253.76, "word": " ال", "probability": 0.88134765625}, {"start": 1253.76, "end": 1254.32, "word": " n", "probability": 0.409423828125}, {"start": 1254.32, "end": 1255.36, "word": " على", "probability": 0.81298828125}, {"start": 1255.36, "end": 1256.02, "word": " n", "probability": 0.619140625}, {"start": 1256.02, "end": 1256.6, "word": " تربية", "probability": 0.6901041666666666}, {"start": 1256.6, "end": 1260.92, "word": " بدنا", "probability": 0.662353515625}, {"start": 1260.92, "end": 1261.34, "word": " ناخد", "probability": 0.958984375}, {"start": 1261.34, "end": 1261.72, "word": " بنفس", "probability": 0.96142578125}, {"start": 1261.72, "end": 1262.3, "word": " الطريقة", "probability": 0.9908854166666666}, {"start": 1262.3, "end": 1262.58, "word": " the", "probability": 0.6171875}, {"start": 1262.58, "end": 1262.94, "word": " series", "probability": 0.9228515625}, {"start": 1262.94, "end": 1263.24, "word": " of", "probability": 0.9658203125}, {"start": 1263.24, "end": 1264.04, "word": " absolute", "probability": 0.92578125}, {"start": 1264.04, "end": 1265.24, "word": " values", "probability": 0.91845703125}, {"start": 1265.24, "end": 1268.58, "word": " the", "probability": 0.5908203125}, {"start": 1268.58, "end": 1269.1, "word": " series", "probability": 0.92236328125}], "temperature": 1.0}, {"id": 53, "seek": 129170, "start": 1271.48, "end": 1291.7, "text": "of absolute values is summation من n equal one to infinity لabsolute value للصين ال N عالميا على N تربيع", "tokens": [2670, 8236, 4190, 307, 28811, 9154, 297, 2681, 472, 281, 13202, 5296, 17243, 401, 1169, 2158, 24976, 9381, 9957, 2423, 426, 6225, 45340, 25528, 15844, 426, 6055, 2288, 21292, 3615], "avg_logprob": -0.34349799156188965, "compression_ratio": 1.1531531531531531, "no_speech_prob": 0.0, "words": [{"start": 1271.48, "end": 1272.08, "word": "of", "probability": 0.1505126953125}, {"start": 1272.08, "end": 1273.98, "word": " absolute", "probability": 0.8955078125}, {"start": 1273.98, "end": 1276.76, "word": " values", "probability": 0.9111328125}, {"start": 1276.76, "end": 1277.9, "word": " is", "probability": 0.67333984375}, {"start": 1277.9, "end": 1280.2, "word": " summation", "probability": 0.69580078125}, {"start": 1280.2, "end": 1281.54, "word": " من", "probability": 0.595703125}, {"start": 1281.54, "end": 1281.98, "word": " n", "probability": 0.54345703125}, {"start": 1281.98, "end": 1282.58, "word": " equal", "probability": 0.41455078125}, {"start": 1282.58, "end": 1283.12, "word": " one", "probability": 0.82861328125}, {"start": 1283.12, "end": 1283.48, "word": " to", "probability": 0.953125}, {"start": 1283.48, "end": 1284.34, "word": " infinity", "probability": 0.83984375}, {"start": 1284.34, "end": 1286.16, "word": " لabsolute", "probability": 0.7589111328125}, {"start": 1286.16, "end": 1286.7, "word": " value", "probability": 0.9814453125}, {"start": 1286.7, "end": 1287.62, "word": " للصين", "probability": 0.82080078125}, {"start": 1287.62, "end": 1287.92, "word": " ال", "probability": 0.64208984375}, {"start": 1287.92, "end": 1288.48, "word": " N", "probability": 0.578125}, {"start": 1288.48, "end": 1289.78, "word": " عالميا", "probability": 0.7447916666666666}, {"start": 1289.78, "end": 1290.52, "word": " على", "probability": 0.75830078125}, {"start": 1290.52, "end": 1290.96, "word": " N", "probability": 0.67919921875}, {"start": 1290.96, "end": 1291.7, "word": " تربيع", "probability": 0.7130126953125}], "temperature": 1.0}, {"id": 54, "seek": 131094, "start": 1295.1, "end": 1310.94, "text": "طب ليش هالمرة هذه كتبتلها ال absolute و المرة اللي فيها دي ما كتبتيه؟ اه لإن الصين هذا بتاخد قيم سلبة و قيم موجة، ولكن لما أخد ال absolute يعني ضمنت أنها كلها مالها بالموجة، بسيطة", "tokens": [9566, 3555, 32239, 8592, 8032, 45340, 25720, 29538, 9122, 2655, 3555, 2655, 1211, 11296, 2423, 8236, 4032, 9673, 25720, 13672, 1829, 8978, 11296, 11778, 1829, 19446, 9122, 2655, 3555, 31371, 3224, 22807, 1975, 3224, 5296, 28814, 1863, 31767, 9957, 8032, 8848, 995, 39894, 47283, 3215, 12174, 32640, 8608, 46152, 3660, 4032, 12174, 32640, 3714, 29245, 3660, 12399, 35525, 19452, 5296, 15042, 5551, 9778, 3215, 2423, 8236, 37495, 22653, 48812, 27842, 2655, 14739, 11296, 28242, 11296, 3714, 6027, 11296, 20666, 2304, 29245, 3660, 12399, 4724, 3794, 1829, 9566, 3660], "avg_logprob": -0.29055477260203844, "compression_ratio": 1.7247191011235956, "no_speech_prob": 0.0, "words": [{"start": 1295.1, "end": 1295.38, "word": "طب", "probability": 0.690673828125}, {"start": 1295.38, "end": 1295.66, "word": " ليش", "probability": 0.9453125}, {"start": 1295.66, "end": 1296.06, "word": " هالمرة", "probability": 0.8038736979166666}, {"start": 1296.06, "end": 1296.28, "word": " هذه", "probability": 0.353515625}, {"start": 1296.28, "end": 1297.0, "word": " كتبتلها", "probability": 0.9127604166666666}, {"start": 1297.0, "end": 1297.2, "word": " ال", "probability": 0.8193359375}, {"start": 1297.2, "end": 1297.8, "word": " absolute", "probability": 0.84814453125}, {"start": 1297.8, "end": 1298.28, "word": " و", "probability": 0.53271484375}, {"start": 1298.28, "end": 1298.68, "word": " المرة", "probability": 0.81201171875}, {"start": 1298.68, "end": 1298.86, "word": " اللي", "probability": 0.60546875}, {"start": 1298.86, "end": 1299.08, "word": " فيها", "probability": 0.6279296875}, {"start": 1299.08, "end": 1299.18, "word": " دي", "probability": 0.385467529296875}, {"start": 1299.18, "end": 1299.26, "word": " ما", "probability": 0.83837890625}, {"start": 1299.26, "end": 1300.58, "word": " كتبتيه؟", "probability": 0.8122965494791666}, {"start": 1300.58, "end": 1300.98, "word": " اه", "probability": 0.5135498046875}, {"start": 1300.98, "end": 1301.28, "word": " لإن", "probability": 0.8102213541666666}, {"start": 1301.28, "end": 1301.6, "word": " الصين", "probability": 0.824951171875}, {"start": 1301.6, "end": 1301.82, "word": " هذا", "probability": 0.5222981770833334}, {"start": 1301.82, "end": 1302.3, "word": " بتاخد", "probability": 0.9441731770833334}, {"start": 1302.3, "end": 1302.64, "word": " قيم", "probability": 0.96484375}, {"start": 1302.64, "end": 1303.1, "word": " سلبة", "probability": 0.9235026041666666}, {"start": 1303.1, "end": 1303.22, "word": " و", "probability": 0.58056640625}, {"start": 1303.22, "end": 1303.5, "word": " قيم", "probability": 0.927490234375}, {"start": 1303.5, "end": 1303.88, "word": " موجة،", "probability": 0.82806396484375}, {"start": 1303.88, "end": 1304.14, "word": " ولكن", "probability": 0.7117919921875}, {"start": 1304.14, "end": 1304.32, "word": " لما", "probability": 0.673583984375}, {"start": 1304.32, "end": 1304.82, "word": " أخد", "probability": 0.7049153645833334}, {"start": 1304.82, "end": 1304.94, "word": " ال", "probability": 0.97705078125}, {"start": 1304.94, "end": 1305.48, "word": " absolute", "probability": 0.9541015625}, {"start": 1305.48, "end": 1306.82, "word": " يعني", "probability": 0.785888671875}, {"start": 1306.82, "end": 1307.48, "word": " ضمنت", "probability": 0.91455078125}, {"start": 1307.48, "end": 1307.82, "word": " أنها", "probability": 0.4007568359375}, {"start": 1307.82, "end": 1308.32, "word": " كلها", "probability": 0.979736328125}, {"start": 1308.32, "end": 1308.84, "word": " مالها", "probability": 0.8444010416666666}, {"start": 1308.84, "end": 1310.3, "word": " بالموجة،", "probability": 0.93681640625}, {"start": 1310.3, "end": 1310.94, "word": " بسيطة", "probability": 0.9927734375}], "temperature": 1.0}, {"id": 55, "seek": 132728, "start": 1311.18, "end": 1327.28, "text": "يبقى هذه ال series with positive terms إذا ما بقدر أطبق عليها الاختبارات التي سبقت دراستها، بنقولها بسيطة جدا، هذا الحد النوني له sign ال end على interview", "tokens": [1829, 3555, 4587, 7578, 29538, 2423, 2638, 365, 3353, 2115, 11933, 15730, 19446, 4724, 28543, 2288, 5551, 9566, 3555, 4587, 25894, 11296, 2423, 47283, 2655, 3555, 9640, 9307, 38392, 8608, 3555, 38149, 11778, 23557, 14851, 11296, 12399, 44945, 39648, 11296, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 12399, 23758, 21542, 3215, 28239, 11536, 1829, 46740, 1465, 2423, 917, 15844, 4049], "avg_logprob": -0.26613730876172176, "compression_ratio": 1.4269005847953216, "no_speech_prob": 0.0, "words": [{"start": 1311.18, "end": 1311.74, "word": "يبقى", "probability": 0.8779296875}, {"start": 1311.74, "end": 1312.0, "word": " هذه", "probability": 0.6201171875}, {"start": 1312.0, "end": 1312.14, "word": " ال", "probability": 0.61962890625}, {"start": 1312.14, "end": 1312.36, "word": " series", "probability": 0.158447265625}, {"start": 1312.36, "end": 1312.82, "word": " with", "probability": 0.70263671875}, {"start": 1312.82, "end": 1313.52, "word": " positive", "probability": 0.9521484375}, {"start": 1313.52, "end": 1314.22, "word": " terms", "probability": 0.89990234375}, {"start": 1314.22, "end": 1314.54, "word": " إذا", "probability": 0.7188720703125}, {"start": 1314.54, "end": 1314.66, "word": " ما", "probability": 0.75634765625}, {"start": 1314.66, "end": 1314.98, "word": " بقدر", "probability": 0.9620768229166666}, {"start": 1314.98, "end": 1315.46, "word": " أطبق", "probability": 0.8714599609375}, {"start": 1315.46, "end": 1315.84, "word": " عليها", "probability": 0.96142578125}, {"start": 1315.84, "end": 1316.84, "word": " الاختبارات", "probability": 0.8936360677083334}, {"start": 1316.84, "end": 1317.58, "word": " التي", "probability": 0.8369140625}, {"start": 1317.58, "end": 1318.34, "word": " سبقت", "probability": 0.8474934895833334}, {"start": 1318.34, "end": 1319.52, "word": " دراستها،", "probability": 0.82705078125}, {"start": 1319.52, "end": 1320.14, "word": " بنقولها", "probability": 0.6507975260416666}, {"start": 1320.14, "end": 1320.68, "word": " بسيطة", "probability": 0.9912109375}, {"start": 1320.68, "end": 1321.22, "word": " جدا،", "probability": 0.8671875}, {"start": 1321.22, "end": 1321.68, "word": " هذا", "probability": 0.92626953125}, {"start": 1321.68, "end": 1322.4, "word": " الحد", "probability": 0.953125}, {"start": 1322.4, "end": 1323.38, "word": " النوني", "probability": 0.7975260416666666}, {"start": 1323.38, "end": 1323.96, "word": " له", "probability": 0.79052734375}, {"start": 1323.96, "end": 1324.64, "word": " sign", "probability": 0.5517578125}, {"start": 1324.64, "end": 1324.98, "word": " ال", "probability": 0.755859375}, {"start": 1324.98, "end": 1325.44, "word": " end", "probability": 0.212158203125}, {"start": 1325.44, "end": 1326.36, "word": " على", "probability": 0.8740234375}, {"start": 1326.36, "end": 1327.28, "word": " interview", "probability": 0.26611328125}], "temperature": 1.0}, {"id": 56, "seek": 135097, "start": 1328.25, "end": 1350.97, "text": "بدي أشوف هذا الشيخ باره السيلزاي بقوله بسيطة هو ال sign ال absolute معصور بين مين و مين ال 01 لإنه absolute ماعنديش سالب كله بيصير موجة يبقى من الصفر لواحد يبقى هذا مالوش داعو في ال conversion و ال divergence يبقى اللي بدي اتحكم في ال conversion و ال divergence واحد على ان تربية واحد على ان تربية مالها", "tokens": [3555, 16254, 5551, 8592, 38688, 23758, 25124, 1829, 9778, 4724, 9640, 3224, 21136, 26895, 11622, 995, 1829, 4724, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 31439, 2423, 1465, 2423, 8236, 20449, 9381, 13063, 49374, 3714, 9957, 4032, 3714, 9957, 2423, 23185, 5296, 28814, 1863, 3224, 8236, 19446, 3615, 1863, 16254, 8592, 8608, 6027, 3555, 28242, 3224, 4724, 1829, 9381, 13546, 3714, 29245, 3660, 7251, 3555, 4587, 7578, 9154, 31767, 5172, 2288, 5296, 14407, 24401, 7251, 3555, 4587, 7578, 23758, 3714, 6027, 2407, 8592, 11778, 45761, 2407, 8978, 2423, 14298, 4032, 2423, 47387, 7251, 3555, 4587, 7578, 13672, 1829, 4724, 16254, 1975, 2655, 5016, 24793, 8978, 2423, 14298, 4032, 2423, 47387, 36764, 24401, 15844, 16472, 6055, 25513, 10632, 36764, 24401, 15844, 16472, 6055, 25513, 10632, 3714, 6027, 11296], "avg_logprob": -0.3134765608701855, "compression_ratio": 1.9715447154471544, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1328.25, "end": 1328.63, "word": "بدي", "probability": 0.2264404296875}, {"start": 1328.63, "end": 1329.07, "word": " أشوف", "probability": 0.8170572916666666}, {"start": 1329.07, "end": 1329.39, "word": " هذا", "probability": 0.400390625}, {"start": 1329.39, "end": 1329.77, "word": " الشيخ", "probability": 0.6651204427083334}, {"start": 1329.77, "end": 1330.05, "word": " باره", "probability": 0.6517740885416666}, {"start": 1330.05, "end": 1330.69, "word": " السيلزاي", "probability": 0.3726806640625}, {"start": 1330.69, "end": 1331.15, "word": " بقوله", "probability": 0.6121419270833334}, {"start": 1331.15, "end": 1331.73, "word": " بسيطة", "probability": 0.83369140625}, {"start": 1331.73, "end": 1331.91, "word": " هو", "probability": 0.86767578125}, {"start": 1331.91, "end": 1332.17, "word": " ال", "probability": 0.84326171875}, {"start": 1332.17, "end": 1332.59, "word": " sign", "probability": 0.70703125}, {"start": 1332.59, "end": 1332.79, "word": " ال", "probability": 0.82080078125}, {"start": 1332.79, "end": 1333.39, "word": " absolute", "probability": 0.9091796875}, {"start": 1333.39, "end": 1333.87, "word": " معصور", "probability": 0.9482421875}, {"start": 1333.87, "end": 1334.09, "word": " بين", "probability": 0.98388671875}, {"start": 1334.09, "end": 1334.33, "word": " مين", "probability": 0.783447265625}, {"start": 1334.33, "end": 1334.43, "word": " و", "probability": 0.990234375}, {"start": 1334.43, "end": 1334.69, "word": " مين", "probability": 0.7408447265625}, {"start": 1334.69, "end": 1334.85, "word": " ال", "probability": 0.2142333984375}, {"start": 1334.85, "end": 1335.23, "word": " 01", "probability": 0.8291015625}, {"start": 1335.23, "end": 1336.97, "word": " لإنه", "probability": 0.4735107421875}, {"start": 1336.97, "end": 1337.37, "word": " absolute", "probability": 0.81591796875}, {"start": 1337.37, "end": 1337.91, "word": " ماعنديش", "probability": 0.9017578125}, {"start": 1337.91, "end": 1338.41, "word": " سالب", "probability": 0.8157552083333334}, {"start": 1338.41, "end": 1338.73, "word": " كله", "probability": 0.900390625}, {"start": 1338.73, "end": 1339.03, "word": " بيصير", "probability": 0.8797607421875}, {"start": 1339.03, "end": 1339.53, "word": " موجة", "probability": 0.8313802083333334}, {"start": 1339.53, "end": 1340.05, "word": " يبقى", "probability": 0.906005859375}, {"start": 1340.05, "end": 1340.19, "word": " من", "probability": 0.9775390625}, {"start": 1340.19, "end": 1340.53, "word": " الصفر", "probability": 0.77001953125}, {"start": 1340.53, "end": 1340.93, "word": " لواحد", "probability": 0.7867838541666666}, {"start": 1340.93, "end": 1341.19, "word": " يبقى", "probability": 0.9451904296875}, {"start": 1341.19, "end": 1341.37, "word": " هذا", "probability": 0.900390625}, {"start": 1341.37, "end": 1341.73, "word": " مالوش", "probability": 0.6533203125}, {"start": 1341.73, "end": 1342.07, "word": " داعو", "probability": 0.7054850260416666}, {"start": 1342.07, "end": 1342.17, "word": " في", "probability": 0.87060546875}, {"start": 1342.17, "end": 1342.27, "word": " ال", "probability": 0.96435546875}, {"start": 1342.27, "end": 1342.71, "word": " conversion", "probability": 0.5048828125}, {"start": 1342.71, "end": 1342.87, "word": " و", "probability": 0.79541015625}, {"start": 1342.87, "end": 1342.91, "word": " ال", "probability": 0.9580078125}, {"start": 1342.91, "end": 1343.47, "word": " divergence", "probability": 0.27099609375}, {"start": 1343.47, "end": 1344.23, "word": " يبقى", "probability": 0.9803466796875}, {"start": 1344.23, "end": 1344.31, "word": " اللي", "probability": 0.95263671875}, {"start": 1344.31, "end": 1344.47, "word": " بدي", "probability": 0.703125}, {"start": 1344.47, "end": 1344.93, "word": " اتحكم", "probability": 0.82049560546875}, {"start": 1344.93, "end": 1345.09, "word": " في", "probability": 0.869140625}, {"start": 1345.09, "end": 1345.19, "word": " ال", "probability": 0.96044921875}, {"start": 1345.19, "end": 1345.59, "word": " conversion", "probability": 0.97119140625}, {"start": 1345.59, "end": 1345.71, "word": " و", "probability": 0.9736328125}, {"start": 1345.71, "end": 1345.75, "word": " ال", "probability": 0.94580078125}, {"start": 1345.75, "end": 1346.01, "word": " divergence", "probability": 0.93359375}, {"start": 1346.01, "end": 1347.05, "word": " واحد", "probability": 0.8896484375}, {"start": 1347.05, "end": 1347.55, "word": " على", "probability": 0.8330078125}, {"start": 1347.55, "end": 1348.15, "word": " ان", "probability": 0.498291015625}, {"start": 1348.15, "end": 1348.89, "word": " تربية", "probability": 0.7633463541666666}, {"start": 1348.89, "end": 1349.67, "word": " واحد", "probability": 0.91357421875}, {"start": 1349.67, "end": 1349.83, "word": " على", "probability": 0.91943359375}, {"start": 1349.83, "end": 1350.05, "word": " ان", "probability": 0.88916015625}, {"start": 1350.05, "end": 1350.41, "word": " تربية", "probability": 0.9794921875}, {"start": 1350.41, "end": 1350.97, "word": " مالها", "probability": 0.9012044270833334}], "temperature": 1.0}, {"id": 57, "seek": 136270, "start": 1351.72, "end": 1362.7, "text": "Converge في سيريز لأن فيه ساوة اتنين اقل من واحد الصحيح يبقى مع الconverge بدنا نمشي اقل من واحد على N تربية", "tokens": [9838, 331, 432, 8978, 8608, 13546, 1829, 11622, 5296, 33456, 8978, 3224, 8608, 995, 2407, 3660, 1975, 2655, 1863, 9957, 1975, 4587, 1211, 9154, 36764, 24401, 31767, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 20449, 2423, 1671, 331, 432, 47525, 8315, 8717, 2304, 8592, 1829, 1975, 4587, 1211, 9154, 36764, 24401, 15844, 426, 6055, 25513, 10632], "avg_logprob": -0.39830043441370916, "compression_ratio": 1.3587786259541985, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1351.72, "end": 1352.56, "word": "Converge", "probability": 0.46826171875}, {"start": 1352.56, "end": 1352.74, "word": " في", "probability": 0.59228515625}, {"start": 1352.74, "end": 1353.32, "word": " سيريز", "probability": 0.699462890625}, {"start": 1353.32, "end": 1353.58, "word": " لأن", "probability": 0.606201171875}, {"start": 1353.58, "end": 1353.92, "word": " فيه", "probability": 0.647705078125}, {"start": 1353.92, "end": 1354.24, "word": " ساوة", "probability": 0.50103759765625}, {"start": 1354.24, "end": 1354.44, "word": " اتنين", "probability": 0.9169921875}, {"start": 1354.44, "end": 1354.8, "word": " اقل", "probability": 0.8800455729166666}, {"start": 1354.8, "end": 1354.96, "word": " من", "probability": 0.98583984375}, {"start": 1354.96, "end": 1355.4, "word": " واحد", "probability": 0.84033203125}, {"start": 1355.4, "end": 1356.08, "word": " الصحيح", "probability": 0.78375244140625}, {"start": 1356.08, "end": 1356.78, "word": " يبقى", "probability": 0.6131591796875}, {"start": 1356.78, "end": 1356.92, "word": " مع", "probability": 0.7470703125}, {"start": 1356.92, "end": 1357.62, "word": " الconverge", "probability": 0.77423095703125}, {"start": 1357.62, "end": 1357.96, "word": " بدنا", "probability": 0.76220703125}, {"start": 1357.96, "end": 1358.62, "word": " نمشي", "probability": 0.9912109375}, {"start": 1358.62, "end": 1359.7, "word": " اقل", "probability": 0.95458984375}, {"start": 1359.7, "end": 1360.28, "word": " من", "probability": 0.994140625}, {"start": 1360.28, "end": 1361.36, "word": " واحد", "probability": 0.9580078125}, {"start": 1361.36, "end": 1361.68, "word": " على", "probability": 0.78173828125}, {"start": 1361.68, "end": 1362.14, "word": " N", "probability": 0.326171875}, {"start": 1362.14, "end": 1362.7, "word": " تربية", "probability": 0.63525390625}], "temperature": 1.0}, {"id": 58, "seek": 139447, "start": 1367.09, "end": 1394.47, "text": "اللي يساوي لإن الصين ممكن يتساوي واحد يبقى ده less than or equal to واحد على انتر بيع طب اللي قال واحد على انتر بيع convert بيه series يبقى باجي بقوله but ولكن summation واحد على انتر بيع convert بيه series السبب because", "tokens": [6027, 20292, 7251, 3794, 995, 45865, 5296, 28814, 1863, 31767, 9957, 3714, 43020, 7251, 2655, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 11778, 3224, 1570, 813, 420, 2681, 281, 36764, 24401, 15844, 16472, 2655, 2288, 4724, 40228, 23032, 3555, 13672, 1829, 50239, 36764, 24401, 15844, 16472, 2655, 2288, 4724, 40228, 7620, 4724, 1829, 3224, 2638, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 457, 35525, 19452, 28811, 36764, 24401, 15844, 16472, 2655, 2288, 4724, 40228, 7620, 4724, 1829, 3224, 2638, 21136, 3555, 3555, 570], "avg_logprob": -0.254740163181605, "compression_ratio": 1.8876404494382022, "no_speech_prob": 0.0, "words": [{"start": 1367.09, "end": 1368.11, "word": "اللي", "probability": 0.147308349609375}, {"start": 1368.11, "end": 1368.69, "word": " يساوي", "probability": 0.9443359375}, {"start": 1368.69, "end": 1368.95, "word": " لإن", "probability": 0.64453125}, {"start": 1368.95, "end": 1369.33, "word": " الصين", "probability": 0.619384765625}, {"start": 1369.33, "end": 1369.77, "word": " ممكن", "probability": 0.947509765625}, {"start": 1369.77, "end": 1370.35, "word": " يتساوي", "probability": 0.95078125}, {"start": 1370.35, "end": 1370.77, "word": " واحد", "probability": 0.930908203125}, {"start": 1370.77, "end": 1371.65, "word": " يبقى", "probability": 0.939697265625}, {"start": 1371.65, "end": 1372.07, "word": " ده", "probability": 0.614013671875}, {"start": 1372.07, "end": 1372.45, "word": " less", "probability": 0.7451171875}, {"start": 1372.45, "end": 1372.99, "word": " than", "probability": 0.9296875}, {"start": 1372.99, "end": 1373.59, "word": " or", "probability": 0.923828125}, {"start": 1373.59, "end": 1374.03, "word": " equal", "probability": 0.93603515625}, {"start": 1374.03, "end": 1374.97, "word": " to", "probability": 0.9716796875}, {"start": 1374.97, "end": 1375.87, "word": " واحد", "probability": 0.880615234375}, {"start": 1375.87, "end": 1376.23, "word": " على", "probability": 0.81396484375}, {"start": 1376.23, "end": 1376.89, "word": " انتر", "probability": 0.61669921875}, {"start": 1376.89, "end": 1377.07, "word": " بيع", "probability": 0.45068359375}, {"start": 1377.07, "end": 1377.67, "word": " طب", "probability": 0.792724609375}, {"start": 1377.67, "end": 1377.79, "word": " اللي", "probability": 0.69970703125}, {"start": 1377.79, "end": 1377.97, "word": " قال", "probability": 0.80029296875}, {"start": 1377.97, "end": 1378.35, "word": " واحد", "probability": 0.83349609375}, {"start": 1378.35, "end": 1378.53, "word": " على", "probability": 0.9130859375}, {"start": 1378.53, "end": 1378.97, "word": " انتر", "probability": 0.93896484375}, {"start": 1378.97, "end": 1379.17, "word": " بيع", "probability": 0.975341796875}, {"start": 1379.17, "end": 1379.79, "word": " convert", "probability": 0.42626953125}, {"start": 1379.79, "end": 1381.17, "word": " بيه", "probability": 0.6068522135416666}, {"start": 1381.17, "end": 1381.55, "word": " series", "probability": 0.4833984375}, {"start": 1381.55, "end": 1382.57, "word": " يبقى", "probability": 0.9635009765625}, {"start": 1382.57, "end": 1382.95, "word": " باجي", "probability": 0.8142903645833334}, {"start": 1382.95, "end": 1383.47, "word": " بقوله", "probability": 0.81689453125}, {"start": 1383.47, "end": 1383.91, "word": " but", "probability": 0.372314453125}, {"start": 1383.91, "end": 1385.13, "word": " ولكن", "probability": 0.82666015625}, {"start": 1385.13, "end": 1386.09, "word": " summation", "probability": 0.88037109375}, {"start": 1386.09, "end": 1387.01, "word": " واحد", "probability": 0.978515625}, {"start": 1387.01, "end": 1387.25, "word": " على", "probability": 0.91064453125}, {"start": 1387.25, "end": 1387.85, "word": " انتر", "probability": 0.9630533854166666}, {"start": 1387.85, "end": 1388.27, "word": " بيع", "probability": 0.977783203125}, {"start": 1388.27, "end": 1389.35, "word": " convert", "probability": 0.87939453125}, {"start": 1389.35, "end": 1391.19, "word": " بيه", "probability": 0.9871419270833334}, {"start": 1391.19, "end": 1392.15, "word": " series", "probability": 0.93798828125}, {"start": 1392.15, "end": 1393.59, "word": " السبب", "probability": 0.986328125}, {"start": 1393.59, "end": 1394.47, "word": " because", "probability": 0.81298828125}], "temperature": 1.0}, {"id": 59, "seek": 141866, "start": 1396.1, "end": 1418.66, "text": "إن P يساوي اتنين أكتر من واحد يبقى بال comparison test بسيارة سيارة لأن هذه مالها convert بجي بقوله by the comparison test the series of absolute", "tokens": [28814, 1863, 430, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 5551, 4117, 2655, 2288, 9154, 36764, 24401, 7251, 3555, 4587, 7578, 20666, 9660, 1500, 4724, 3794, 1829, 9640, 3660, 8608, 1829, 9640, 3660, 5296, 33456, 29538, 3714, 6027, 11296, 7620, 4724, 7435, 1829, 4724, 39648, 3224, 538, 264, 9660, 1500, 264, 2638, 295, 8236], "avg_logprob": -0.43219867295452524, "compression_ratio": 1.36, "no_speech_prob": 0.0, "words": [{"start": 1396.1, "end": 1396.5, "word": "إن", "probability": 0.507354736328125}, {"start": 1396.5, "end": 1397.14, "word": " P", "probability": 0.58056640625}, {"start": 1397.14, "end": 1398.34, "word": " يساوي", "probability": 0.6402587890625}, {"start": 1398.34, "end": 1399.06, "word": " اتنين", "probability": 0.781646728515625}, {"start": 1399.06, "end": 1399.78, "word": " أكتر", "probability": 0.64984130859375}, {"start": 1399.78, "end": 1400.54, "word": " من", "probability": 0.9111328125}, {"start": 1400.54, "end": 1401.3, "word": " واحد", "probability": 0.874755859375}, {"start": 1401.3, "end": 1403.1, "word": " يبقى", "probability": 0.8853759765625}, {"start": 1403.1, "end": 1403.26, "word": " بال", "probability": 0.92333984375}, {"start": 1403.26, "end": 1404.06, "word": " comparison", "probability": 0.4228515625}, {"start": 1404.06, "end": 1404.96, "word": " test", "probability": 0.93505859375}, {"start": 1404.96, "end": 1405.6, "word": " بسيارة", "probability": 0.4551025390625}, {"start": 1405.6, "end": 1405.88, "word": " سيارة", "probability": 0.756591796875}, {"start": 1405.88, "end": 1406.24, "word": " لأن", "probability": 0.74267578125}, {"start": 1406.24, "end": 1406.5, "word": " هذه", "probability": 0.4775390625}, {"start": 1406.5, "end": 1407.02, "word": " مالها", "probability": 0.82666015625}, {"start": 1407.02, "end": 1408.06, "word": " convert", "probability": 0.4091796875}, {"start": 1408.06, "end": 1408.96, "word": " بجي", "probability": 0.6603190104166666}, {"start": 1408.96, "end": 1409.82, "word": " بقوله", "probability": 0.8990885416666666}, {"start": 1409.82, "end": 1410.44, "word": " by", "probability": 0.5869140625}, {"start": 1410.44, "end": 1411.62, "word": " the", "probability": 0.57275390625}, {"start": 1411.62, "end": 1412.7, "word": " comparison", "probability": 0.91650390625}, {"start": 1412.7, "end": 1413.5, "word": " test", "probability": 0.9287109375}, {"start": 1413.5, "end": 1414.36, "word": " the", "probability": 0.491455078125}, {"start": 1414.36, "end": 1415.14, "word": " series", "probability": 0.8837890625}, {"start": 1415.14, "end": 1417.08, "word": " of", "probability": 0.9482421875}, {"start": 1417.08, "end": 1418.66, "word": " absolute", "probability": 0.88623046875}], "temperature": 1.0}, {"id": 60, "seek": 143470, "start": 1419.62, "end": 1434.7, "text": "Values اللي هي main اللي هي summation absolute value لصين ال N على N ترابيع convert مدام convert يبقى series الأصلية", "tokens": [53, 304, 1247, 2423, 20292, 39896, 2135, 2423, 20292, 39896, 28811, 8236, 2158, 5296, 9381, 9957, 2423, 426, 15844, 426, 6055, 2288, 16758, 40228, 7620, 3714, 3215, 10943, 7620, 7251, 3555, 4587, 7578, 2638, 16247, 36520, 10632], "avg_logprob": -0.5637335557686655, "compression_ratio": 1.2440944881889764, "no_speech_prob": 0.0, "words": [{"start": 1419.62, "end": 1421.18, "word": "Values", "probability": 0.6067708333333334}, {"start": 1421.18, "end": 1422.1, "word": " اللي", "probability": 0.184234619140625}, {"start": 1422.1, "end": 1422.32, "word": " هي", "probability": 0.8388671875}, {"start": 1422.32, "end": 1422.74, "word": " main", "probability": 0.1328125}, {"start": 1422.74, "end": 1423.78, "word": " اللي", "probability": 0.5076904296875}, {"start": 1423.78, "end": 1424.14, "word": " هي", "probability": 0.951171875}, {"start": 1424.14, "end": 1425.24, "word": " summation", "probability": 0.8125}, {"start": 1425.24, "end": 1426.28, "word": " absolute", "probability": 0.88427734375}, {"start": 1426.28, "end": 1426.9, "word": " value", "probability": 0.9873046875}, {"start": 1426.9, "end": 1427.72, "word": " لصين", "probability": 0.5768229166666666}, {"start": 1427.72, "end": 1428.02, "word": " ال", "probability": 0.80029296875}, {"start": 1428.02, "end": 1428.42, "word": " N", "probability": 0.56640625}, {"start": 1428.42, "end": 1429.34, "word": " على", "probability": 0.73828125}, {"start": 1429.34, "end": 1429.84, "word": " N", "probability": 0.74609375}, {"start": 1429.84, "end": 1430.76, "word": " ترابيع", "probability": 0.76568603515625}, {"start": 1430.76, "end": 1431.74, "word": " convert", "probability": 0.135009765625}, {"start": 1431.74, "end": 1432.66, "word": " مدام", "probability": 0.7298177083333334}, {"start": 1432.66, "end": 1433.1, "word": " convert", "probability": 0.751953125}, {"start": 1433.1, "end": 1433.44, "word": " يبقى", "probability": 0.892333984375}, {"start": 1433.44, "end": 1433.68, "word": " series", "probability": 0.10870361328125}, {"start": 1433.68, "end": 1434.7, "word": " الأصلية", "probability": 0.8221028645833334}], "temperature": 1.0}, {"id": 61, "seek": 145403, "start": 1435.27, "end": 1454.03, "text": "convert absolutely يبقى summation لنقص واحد to the power n لصين ال n على n تربيع converge absolutely جاي في بالي أسأل سؤال هيك", "tokens": [1671, 3281, 3122, 7251, 3555, 4587, 7578, 28811, 5296, 1863, 4587, 9381, 36764, 24401, 281, 264, 1347, 297, 5296, 9381, 9957, 2423, 297, 15844, 297, 6055, 2288, 21292, 3615, 41881, 3122, 10874, 47302, 8978, 20666, 1829, 5551, 3794, 10721, 1211, 8608, 33604, 6027, 39896, 4117], "avg_logprob": -0.27615490490975586, "compression_ratio": 1.2198581560283688, "no_speech_prob": 0.0, "words": [{"start": 1435.27, "end": 1436.37, "word": "convert", "probability": 0.5845947265625}, {"start": 1436.37, "end": 1437.51, "word": " absolutely", "probability": 0.5498046875}, {"start": 1437.51, "end": 1438.61, "word": " يبقى", "probability": 0.9412841796875}, {"start": 1438.61, "end": 1439.97, "word": " summation", "probability": 0.161376953125}, {"start": 1439.97, "end": 1441.09, "word": " لنقص", "probability": 0.81298828125}, {"start": 1441.09, "end": 1441.47, "word": " واحد", "probability": 0.972900390625}, {"start": 1441.47, "end": 1441.63, "word": " to", "probability": 0.8740234375}, {"start": 1441.63, "end": 1441.87, "word": " the", "probability": 0.8525390625}, {"start": 1441.87, "end": 1442.29, "word": " power", "probability": 0.89599609375}, {"start": 1442.29, "end": 1442.77, "word": " n", "probability": 0.587890625}, {"start": 1442.77, "end": 1444.13, "word": " لصين", "probability": 0.8318684895833334}, {"start": 1444.13, "end": 1444.41, "word": " ال", "probability": 0.8359375}, {"start": 1444.41, "end": 1444.73, "word": " n", "probability": 0.537109375}, {"start": 1444.73, "end": 1445.17, "word": " على", "probability": 0.7373046875}, {"start": 1445.17, "end": 1445.67, "word": " n", "probability": 0.16552734375}, {"start": 1445.67, "end": 1446.51, "word": " تربيع", "probability": 0.84228515625}, {"start": 1446.51, "end": 1448.11, "word": " converge", "probability": 0.767578125}, {"start": 1448.11, "end": 1449.91, "word": " absolutely", "probability": 0.4658203125}, {"start": 1449.91, "end": 1452.07, "word": " جاي", "probability": 0.93115234375}, {"start": 1452.07, "end": 1452.21, "word": " في", "probability": 0.841796875}, {"start": 1452.21, "end": 1452.55, "word": " بالي", "probability": 0.925048828125}, {"start": 1452.55, "end": 1453.03, "word": " أسأل", "probability": 0.8095703125}, {"start": 1453.03, "end": 1453.53, "word": " سؤال", "probability": 0.9775390625}, {"start": 1453.53, "end": 1454.03, "word": " هيك", "probability": 0.96044921875}], "temperature": 1.0}, {"id": 62, "seek": 147268, "start": 1455.62, "end": 1472.68, "text": "و اشوف ايش رأيكوا فيه انت قاعد بتاخد ان ال absolute value و بتروح شوف converge بتقول انك converge absolutely ماهياش converge بتروح على الشروط السؤال هو بنفع اروح الشروط دغري؟", "tokens": [2407, 1975, 8592, 38688, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 14407, 8978, 3224, 16472, 2655, 12174, 995, 22488, 39894, 47283, 3215, 16472, 2423, 8236, 2158, 4032, 39894, 32887, 5016, 13412, 38688, 41881, 39894, 39648, 16472, 4117, 41881, 3122, 19446, 3224, 1829, 33599, 41881, 39894, 32887, 5016, 15844, 25124, 32887, 9566, 21136, 33604, 6027, 31439, 44945, 5172, 3615, 1975, 32887, 5016, 25124, 32887, 9566, 11778, 17082, 16572, 22807], "avg_logprob": -0.24705614905426468, "compression_ratio": 1.6035502958579881, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1455.62, "end": 1455.84, "word": "و", "probability": 0.66650390625}, {"start": 1455.84, "end": 1456.2, "word": " اشوف", "probability": 0.651123046875}, {"start": 1456.2, "end": 1456.44, "word": " ايش", "probability": 0.8292643229166666}, {"start": 1456.44, "end": 1456.98, "word": " رأيكوا", "probability": 0.9072265625}, {"start": 1456.98, "end": 1457.18, "word": " فيه", "probability": 0.916015625}, {"start": 1457.18, "end": 1457.66, "word": " انت", "probability": 0.77978515625}, {"start": 1457.66, "end": 1458.08, "word": " قاعد", "probability": 0.7723795572916666}, {"start": 1458.08, "end": 1458.62, "word": " بتاخد", "probability": 0.779296875}, {"start": 1458.62, "end": 1458.78, "word": " ان", "probability": 0.1588134765625}, {"start": 1458.78, "end": 1458.96, "word": " ال", "probability": 0.89794921875}, {"start": 1458.96, "end": 1459.66, "word": " absolute", "probability": 0.87060546875}, {"start": 1459.66, "end": 1460.54, "word": " value", "probability": 0.98779296875}, {"start": 1460.54, "end": 1461.34, "word": " و", "probability": 0.52734375}, {"start": 1461.34, "end": 1461.84, "word": " بتروح", "probability": 0.95361328125}, {"start": 1461.84, "end": 1462.36, "word": " شوف", "probability": 0.59881591796875}, {"start": 1462.36, "end": 1462.86, "word": " converge", "probability": 0.5419921875}, {"start": 1462.86, "end": 1463.36, "word": " بتقول", "probability": 0.93505859375}, {"start": 1463.36, "end": 1463.62, "word": " انك", "probability": 0.735107421875}, {"start": 1463.62, "end": 1464.22, "word": " converge", "probability": 0.796875}, {"start": 1464.22, "end": 1465.42, "word": " absolutely", "probability": 0.6259765625}, {"start": 1465.42, "end": 1466.56, "word": " ماهياش", "probability": 0.9132080078125}, {"start": 1466.56, "end": 1467.06, "word": " converge", "probability": 0.95166015625}, {"start": 1467.06, "end": 1467.6, "word": " بتروح", "probability": 0.8561197916666666}, {"start": 1467.6, "end": 1467.86, "word": " على", "probability": 0.86083984375}, {"start": 1467.86, "end": 1468.46, "word": " الشروط", "probability": 0.9264322916666666}, {"start": 1468.46, "end": 1469.12, "word": " السؤال", "probability": 0.9415690104166666}, {"start": 1469.12, "end": 1469.46, "word": " هو", "probability": 0.97509765625}, {"start": 1469.46, "end": 1470.7, "word": " بنفع", "probability": 0.8479817708333334}, {"start": 1470.7, "end": 1471.36, "word": " اروح", "probability": 0.9630533854166666}, {"start": 1471.36, "end": 1471.94, "word": " الشروط", "probability": 0.873046875}, {"start": 1471.94, "end": 1472.68, "word": " دغري؟", "probability": 0.75067138671875}], "temperature": 1.0}, {"id": 63, "seek": 149520, "start": 1490.16, "end": 1495.2, "text": "السؤال الرابع يقول", "tokens": [6027, 3794, 33604, 6027, 34892, 16758, 3615, 7251, 39648], "avg_logprob": -0.5023437380790711, "compression_ratio": 0.85, "no_speech_prob": 0.0, "words": [{"start": 1490.1599999999999, "end": 1491.56, "word": "السؤال", "probability": 0.79132080078125}, {"start": 1491.56, "end": 1492.8, "word": " الرابع", "probability": 0.9407552083333334}, {"start": 1492.8, "end": 1495.2, "word": " يقول", "probability": 0.53515625}], "temperature": 1.0}, {"id": 64, "seek": 151632, "start": 1498.38, "end": 1516.32, "text": "مرة أربعة summation من عند ال N equal one to infinity لنقص اتنين أس N plus one كله على N زائد خمسة to the power N", "tokens": [2304, 25720, 5551, 25513, 27884, 28811, 9154, 43242, 2423, 426, 2681, 472, 281, 13202, 5296, 1863, 4587, 9381, 1975, 2655, 1863, 9957, 5551, 3794, 426, 1804, 472, 28242, 3224, 15844, 426, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 281, 264, 1347, 426], "avg_logprob": -0.1851380883261215, "compression_ratio": 1.125, "no_speech_prob": 0.0, "words": [{"start": 1498.38, "end": 1498.9, "word": "مرة", "probability": 0.425933837890625}, {"start": 1498.9, "end": 1499.72, "word": " أربعة", "probability": 0.8487955729166666}, {"start": 1499.72, "end": 1500.88, "word": " summation", "probability": 0.381103515625}, {"start": 1500.88, "end": 1501.94, "word": " من", "probability": 0.96630859375}, {"start": 1501.94, "end": 1502.34, "word": " عند", "probability": 0.9833984375}, {"start": 1502.34, "end": 1502.62, "word": " ال", "probability": 0.943359375}, {"start": 1502.62, "end": 1502.92, "word": " N", "probability": 0.71240234375}, {"start": 1502.92, "end": 1503.56, "word": " equal", "probability": 0.65234375}, {"start": 1503.56, "end": 1504.18, "word": " one", "probability": 0.82177734375}, {"start": 1504.18, "end": 1504.54, "word": " to", "probability": 0.9345703125}, {"start": 1504.54, "end": 1505.46, "word": " infinity", "probability": 0.853515625}, {"start": 1505.46, "end": 1506.94, "word": " لنقص", "probability": 0.8846435546875}, {"start": 1506.94, "end": 1507.68, "word": " اتنين", "probability": 0.9046630859375}, {"start": 1507.68, "end": 1508.2, "word": " أس", "probability": 0.71044921875}, {"start": 1508.2, "end": 1508.74, "word": " N", "probability": 0.923828125}, {"start": 1508.74, "end": 1509.58, "word": " plus", "probability": 0.92822265625}, {"start": 1509.58, "end": 1510.38, "word": " one", "probability": 0.94921875}, {"start": 1510.38, "end": 1511.62, "word": " كله", "probability": 0.957763671875}, {"start": 1511.62, "end": 1512.14, "word": " على", "probability": 0.765625}, {"start": 1512.14, "end": 1512.82, "word": " N", "probability": 0.9462890625}, {"start": 1512.82, "end": 1513.98, "word": " زائد", "probability": 0.9269205729166666}, {"start": 1513.98, "end": 1514.82, "word": " خمسة", "probability": 0.976806640625}, {"start": 1514.82, "end": 1515.04, "word": " to", "probability": 0.966796875}, {"start": 1515.04, "end": 1515.28, "word": " the", "probability": 0.92041015625}, {"start": 1515.28, "end": 1515.86, "word": " power", "probability": 0.90087890625}, {"start": 1515.86, "end": 1516.32, "word": " N", "probability": 0.9453125}], "temperature": 1.0}, {"id": 65, "seek": 154059, "start": 1519.25, "end": 1540.59, "text": "بنشوف ال series هذه هل هي converge absolutely ولا converge conditionally ولا ضعيفة بنقولها بسيطة بنحاول نصيحها صياغة أخرى ل N تساوي واحد إلى N تدوي هذا يا شباب اللي هو ناقص اتنين مش عبارة عن ناقص واحد ضرب اتنين", "tokens": [3555, 1863, 8592, 38688, 2423, 2638, 29538, 8032, 1211, 39896, 41881, 3122, 49429, 41881, 4188, 379, 49429, 48812, 3615, 33911, 3660, 44945, 39648, 11296, 4724, 3794, 1829, 9566, 3660, 44945, 5016, 995, 12610, 8717, 9381, 1829, 5016, 11296, 20328, 1829, 5718, 118, 3660, 5551, 34740, 7578, 5296, 426, 6055, 3794, 995, 45865, 36764, 24401, 30731, 426, 6055, 3215, 45865, 23758, 35186, 13412, 3555, 16758, 13672, 1829, 31439, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 37893, 6225, 3555, 9640, 3660, 18871, 8717, 995, 4587, 9381, 36764, 24401, 48812, 25513, 1975, 2655, 1863, 9957], "avg_logprob": -0.26080452317887165, "compression_ratio": 1.5829383886255923, "no_speech_prob": 0.0, "words": [{"start": 1519.25, "end": 1519.89, "word": "بنشوف", "probability": 0.7779541015625}, {"start": 1519.89, "end": 1520.03, "word": " ال", "probability": 0.359375}, {"start": 1520.03, "end": 1520.35, "word": " series", "probability": 0.7822265625}, {"start": 1520.35, "end": 1520.75, "word": " هذه", "probability": 0.406494140625}, {"start": 1520.75, "end": 1520.95, "word": " هل", "probability": 0.900146484375}, {"start": 1520.95, "end": 1521.07, "word": " هي", "probability": 0.95263671875}, {"start": 1521.07, "end": 1521.95, "word": " converge", "probability": 0.7177734375}, {"start": 1521.95, "end": 1523.03, "word": " absolutely", "probability": 0.533203125}, {"start": 1523.03, "end": 1523.49, "word": " ولا", "probability": 0.7333984375}, {"start": 1523.49, "end": 1524.15, "word": " converge", "probability": 0.232177734375}, {"start": 1524.15, "end": 1525.25, "word": " conditionally", "probability": 0.8681640625}, {"start": 1525.25, "end": 1525.61, "word": " ولا", "probability": 0.84814453125}, {"start": 1525.61, "end": 1526.25, "word": " ضعيفة", "probability": 0.71875}, {"start": 1526.25, "end": 1527.35, "word": " بنقولها", "probability": 0.6807454427083334}, {"start": 1527.35, "end": 1527.87, "word": " بسيطة", "probability": 0.9876953125}, {"start": 1527.87, "end": 1528.73, "word": " بنحاول", "probability": 0.8143310546875}, {"start": 1528.73, "end": 1529.77, "word": " نصيحها", "probability": 0.7722412109375}, {"start": 1529.77, "end": 1531.03, "word": " صياغة", "probability": 0.8890625}, {"start": 1531.03, "end": 1532.21, "word": " أخرى", "probability": 0.9305013020833334}, {"start": 1532.21, "end": 1532.47, "word": " ل", "probability": 0.72509765625}, {"start": 1532.47, "end": 1532.83, "word": " N", "probability": 0.313232421875}, {"start": 1532.83, "end": 1533.31, "word": " تساوي", "probability": 0.52850341796875}, {"start": 1533.31, "end": 1533.73, "word": " واحد", "probability": 0.963134765625}, {"start": 1533.73, "end": 1534.03, "word": " إلى", "probability": 0.59765625}, {"start": 1534.03, "end": 1534.29, "word": " N", "probability": 0.759765625}, {"start": 1534.29, "end": 1534.67, "word": " تدوي", "probability": 0.4468180338541667}, {"start": 1534.67, "end": 1535.53, "word": " هذا", "probability": 0.402099609375}, {"start": 1535.53, "end": 1535.73, "word": " يا", "probability": 0.912109375}, {"start": 1535.73, "end": 1536.05, "word": " شباب", "probability": 0.9905598958333334}, {"start": 1536.05, "end": 1536.21, "word": " اللي", "probability": 0.856689453125}, {"start": 1536.21, "end": 1536.37, "word": " هو", "probability": 0.97607421875}, {"start": 1536.37, "end": 1536.99, "word": " ناقص", "probability": 0.9786376953125}, {"start": 1536.99, "end": 1537.57, "word": " اتنين", "probability": 0.9407958984375}, {"start": 1537.57, "end": 1537.81, "word": " مش", "probability": 0.90478515625}, {"start": 1537.81, "end": 1538.49, "word": " عبارة", "probability": 0.99462890625}, {"start": 1538.49, "end": 1538.75, "word": " عن", "probability": 0.9912109375}, {"start": 1538.75, "end": 1539.33, "word": " ناقص", "probability": 0.99169921875}, {"start": 1539.33, "end": 1539.75, "word": " واحد", "probability": 0.98974609375}, {"start": 1539.75, "end": 1540.07, "word": " ضرب", "probability": 0.8583984375}, {"start": 1540.07, "end": 1540.59, "word": " اتنين", "probability": 0.989990234375}], "temperature": 1.0}, {"id": 66, "seek": 155907, "start": 1541.43, "end": 1559.07, "text": "يعني هذه باعتبارها ناقص واحد to the power اللي هو mean to the power n plus one في الاتنين أس n plus one على n زائد خمسة to the power n", "tokens": [40228, 22653, 29538, 4724, 995, 34268, 3555, 9640, 11296, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 13672, 1829, 31439, 914, 281, 264, 1347, 297, 1804, 472, 8978, 2423, 9307, 1863, 9957, 5551, 3794, 297, 1804, 472, 15844, 297, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 281, 264, 1347, 297], "avg_logprob": -0.15850359860521096, "compression_ratio": 1.3880597014925373, "no_speech_prob": 0.0, "words": [{"start": 1541.43, "end": 1542.03, "word": "يعني", "probability": 0.7705078125}, {"start": 1542.03, "end": 1542.41, "word": " هذه", "probability": 0.6083984375}, {"start": 1542.41, "end": 1543.41, "word": " باعتبارها", "probability": 0.9842122395833334}, {"start": 1543.41, "end": 1544.25, "word": " ناقص", "probability": 0.80908203125}, {"start": 1544.25, "end": 1544.75, "word": " واحد", "probability": 0.983642578125}, {"start": 1544.75, "end": 1544.97, "word": " to", "probability": 0.82861328125}, {"start": 1544.97, "end": 1545.21, "word": " the", "probability": 0.923828125}, {"start": 1545.21, "end": 1545.95, "word": " power", "probability": 0.90673828125}, {"start": 1545.95, "end": 1546.77, "word": " اللي", "probability": 0.6690673828125}, {"start": 1546.77, "end": 1546.97, "word": " هو", "probability": 0.9912109375}, {"start": 1546.97, "end": 1547.31, "word": " mean", "probability": 0.44921875}, {"start": 1547.31, "end": 1547.55, "word": " to", "probability": 0.9453125}, {"start": 1547.55, "end": 1547.81, "word": " the", "probability": 0.92529296875}, {"start": 1547.81, "end": 1548.39, "word": " power", "probability": 0.89892578125}, {"start": 1548.39, "end": 1548.95, "word": " n", "probability": 0.54638671875}, {"start": 1548.95, "end": 1549.67, "word": " plus", "probability": 0.78662109375}, {"start": 1549.67, "end": 1550.35, "word": " one", "probability": 0.9169921875}, {"start": 1550.35, "end": 1551.27, "word": " في", "probability": 0.75537109375}, {"start": 1551.27, "end": 1552.51, "word": " الاتنين", "probability": 0.75286865234375}, {"start": 1552.51, "end": 1553.07, "word": " أس", "probability": 0.79443359375}, {"start": 1553.07, "end": 1553.49, "word": " n", "probability": 0.80322265625}, {"start": 1553.49, "end": 1554.13, "word": " plus", "probability": 0.9609375}, {"start": 1554.13, "end": 1554.73, "word": " one", "probability": 0.95751953125}, {"start": 1554.73, "end": 1555.55, "word": " على", "probability": 0.736328125}, {"start": 1555.55, "end": 1556.01, "word": " n", "probability": 0.9228515625}, {"start": 1556.01, "end": 1556.99, "word": " زائد", "probability": 0.9671223958333334}, {"start": 1556.99, "end": 1557.73, "word": " خمسة", "probability": 0.9835205078125}, {"start": 1557.73, "end": 1557.91, "word": " to", "probability": 0.98486328125}, {"start": 1557.91, "end": 1558.17, "word": " the", "probability": 0.93310546875}, {"start": 1558.17, "end": 1558.67, "word": " power", "probability": 0.90087890625}, {"start": 1558.67, "end": 1559.07, "word": " n", "probability": 0.8515625}], "temperature": 1.0}, {"id": 67, "seek": 158265, "start": 1560.13, "end": 1582.65, "text": "إذا انا اعطي المسألة بالشكل هذا يبقى واضح ان الصورات هذه مالها alternating مادام ال alternating يمكن ان انا اخد ال series of absolute values يبقى باجي بقوله هنا solution of the series of absolute values", "tokens": [28814, 15730, 1975, 8315, 1975, 3615, 9566, 1829, 9673, 3794, 10721, 37977, 20666, 8592, 28820, 23758, 7251, 3555, 4587, 7578, 4032, 46958, 5016, 16472, 31767, 13063, 9307, 29538, 3714, 6027, 11296, 40062, 3714, 18513, 10943, 2423, 40062, 7251, 43020, 16472, 1975, 8315, 1975, 9778, 3215, 2423, 2638, 295, 8236, 4190, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 3827, 295, 264, 2638, 295, 8236, 4190], "avg_logprob": -0.485054347826087, "compression_ratio": 1.6571428571428573, "no_speech_prob": 0.0, "words": [{"start": 1560.13, "end": 1560.53, "word": "إذا", "probability": 0.53326416015625}, {"start": 1560.53, "end": 1560.71, "word": " انا", "probability": 0.3126220703125}, {"start": 1560.71, "end": 1561.31, "word": " اعطي", "probability": 0.62884521484375}, {"start": 1561.31, "end": 1562.17, "word": " المسألة", "probability": 0.57183837890625}, {"start": 1562.17, "end": 1562.73, "word": " بالشكل", "probability": 0.8857421875}, {"start": 1562.73, "end": 1563.07, "word": " هذا", "probability": 0.927734375}, {"start": 1563.07, "end": 1563.49, "word": " يبقى", "probability": 0.8470458984375}, {"start": 1563.49, "end": 1563.85, "word": " واضح", "probability": 0.9405924479166666}, {"start": 1563.85, "end": 1563.99, "word": " ان", "probability": 0.58349609375}, {"start": 1563.99, "end": 1564.39, "word": " الصورات", "probability": 0.4607340494791667}, {"start": 1564.39, "end": 1564.65, "word": " هذه", "probability": 0.74169921875}, {"start": 1564.65, "end": 1565.17, "word": " مالها", "probability": 0.7031656901041666}, {"start": 1565.17, "end": 1566.91, "word": " alternating", "probability": 0.55859375}, {"start": 1566.91, "end": 1567.93, "word": " مادام", "probability": 0.6599934895833334}, {"start": 1567.93, "end": 1568.07, "word": " ال", "probability": 0.43017578125}, {"start": 1568.07, "end": 1568.59, "word": " alternating", "probability": 0.263427734375}, {"start": 1568.59, "end": 1568.89, "word": " يمكن", "probability": 0.4769287109375}, {"start": 1568.89, "end": 1569.11, "word": " ان", "probability": 0.1546630859375}, {"start": 1569.11, "end": 1569.35, "word": " انا", "probability": 0.630615234375}, {"start": 1569.35, "end": 1569.57, "word": " اخد", "probability": 0.6324869791666666}, {"start": 1569.57, "end": 1569.73, "word": " ال", "probability": 0.407958984375}, {"start": 1569.73, "end": 1570.05, "word": " series", "probability": 0.810546875}, {"start": 1570.05, "end": 1570.69, "word": " of", "probability": 0.94873046875}, {"start": 1570.69, "end": 1571.69, "word": " absolute", "probability": 0.93994140625}, {"start": 1571.69, "end": 1572.75, "word": " values", "probability": 0.6279296875}, {"start": 1572.75, "end": 1573.61, "word": " يبقى", "probability": 0.892333984375}, {"start": 1573.61, "end": 1573.99, "word": " باجي", "probability": 0.6185709635416666}, {"start": 1573.99, "end": 1574.57, "word": " بقوله", "probability": 0.7115885416666666}, {"start": 1574.57, "end": 1574.99, "word": " هنا", "probability": 0.9609375}, {"start": 1574.99, "end": 1575.97, "word": " solution", "probability": 0.89501953125}, {"start": 1575.97, "end": 1578.97, "word": " of", "probability": 0.49462890625}, {"start": 1578.97, "end": 1579.21, "word": " the", "probability": 0.56884765625}, {"start": 1579.21, "end": 1580.47, "word": " series", "probability": 0.89599609375}, {"start": 1580.47, "end": 1582.25, "word": " of", "probability": 0.9267578125}, {"start": 1582.25, "end": 1582.65, "word": " absolute", "probability": 0.89794921875}, {"start": 1582.65, "end": 1582.65, "word": " values", "probability": 0.8173828125}], "temperature": 1.0}, {"id": 68, "seek": 160950, "start": 1583.06, "end": 1609.5, "text": "absolute values is summation from n equal one to infinity لإتنين في الإتنين أُس n على مين على n زائد خمسة أُس n يبقى سارة series كل الحدود موجبة", "tokens": [17243, 401, 1169, 4190, 307, 28811, 490, 297, 2681, 472, 281, 13202, 5296, 28814, 2655, 1863, 9957, 8978, 33688, 2655, 1863, 9957, 5551, 10859, 3794, 297, 15844, 3714, 9957, 15844, 297, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 5551, 10859, 3794, 297, 7251, 3555, 4587, 7578, 8608, 9640, 3660, 2638, 28242, 21542, 3215, 23328, 3714, 29245, 49401], "avg_logprob": -0.28879311475260505, "compression_ratio": 1.3012820512820513, "no_speech_prob": 0.0, "words": [{"start": 1583.06, "end": 1584.7, "word": "absolute", "probability": 0.7188313802083334}, {"start": 1584.7, "end": 1586.56, "word": " values", "probability": 0.8857421875}, {"start": 1586.56, "end": 1587.34, "word": " is", "probability": 0.59619140625}, {"start": 1587.34, "end": 1588.7, "word": " summation", "probability": 0.81494140625}, {"start": 1588.7, "end": 1589.7, "word": " from", "probability": 0.61279296875}, {"start": 1589.7, "end": 1590.02, "word": " n", "probability": 0.7705078125}, {"start": 1590.02, "end": 1590.5, "word": " equal", "probability": 0.187255859375}, {"start": 1590.5, "end": 1590.86, "word": " one", "probability": 0.76416015625}, {"start": 1590.86, "end": 1591.16, "word": " to", "probability": 0.92919921875}, {"start": 1591.16, "end": 1592.2, "word": " infinity", "probability": 0.82470703125}, {"start": 1592.2, "end": 1594.14, "word": " لإتنين", "probability": 0.71934814453125}, {"start": 1594.14, "end": 1594.72, "word": " في", "probability": 0.8291015625}, {"start": 1594.72, "end": 1595.88, "word": " الإتنين", "probability": 0.9293212890625}, {"start": 1595.88, "end": 1596.52, "word": " أُس", "probability": 0.6997884114583334}, {"start": 1596.52, "end": 1597.04, "word": " n", "probability": 0.6474609375}, {"start": 1597.04, "end": 1597.84, "word": " على", "probability": 0.57958984375}, {"start": 1597.84, "end": 1598.44, "word": " مين", "probability": 0.746337890625}, {"start": 1598.44, "end": 1599.16, "word": " على", "probability": 0.84423828125}, {"start": 1599.16, "end": 1599.82, "word": " n", "probability": 0.87060546875}, {"start": 1599.82, "end": 1601.0, "word": " زائد", "probability": 0.9322916666666666}, {"start": 1601.0, "end": 1602.04, "word": " خمسة", "probability": 0.9267578125}, {"start": 1602.04, "end": 1602.56, "word": " أُس", "probability": 0.8907877604166666}, {"start": 1602.56, "end": 1603.52, "word": " n", "probability": 0.9365234375}, {"start": 1603.52, "end": 1606.02, "word": " يبقى", "probability": 0.8671875}, {"start": 1606.02, "end": 1606.46, "word": " سارة", "probability": 0.4544881184895833}, {"start": 1606.46, "end": 1606.9, "word": " series", "probability": 0.66064453125}, {"start": 1606.9, "end": 1607.74, "word": " كل", "probability": 0.89794921875}, {"start": 1607.74, "end": 1608.96, "word": " الحدود", "probability": 0.9874674479166666}, {"start": 1608.96, "end": 1609.5, "word": " موجبة", "probability": 0.88330078125}], "temperature": 1.0}, {"id": 69, "seek": 163974, "start": 1610.08, "end": 1639.74, "text": "مدام كل الحدود موجة باجي بشوف ماهو الاختبار الأنسب للحكم على هذه ال series هل هي a conveyor و الله طيب يعني مين أنسب اختبار بجيبها في خطوة هكذا و الله تنتهي ال route ال route الجدرد هذا مجمع زائد من حد ما شوف كمية تيماني و مابنقدرش يبقى لكوا comparison دوري على كل الخط فباجي بقوله مين", "tokens": [2304, 3215, 10943, 28242, 21542, 3215, 23328, 3714, 29245, 3660, 4724, 26108, 1829, 4724, 8592, 38688, 19446, 3224, 2407, 2423, 47283, 2655, 3555, 9640, 16247, 1863, 35457, 24976, 5016, 24793, 15844, 29538, 2423, 2638, 8032, 1211, 39896, 257, 18053, 2454, 4032, 21984, 23032, 1829, 3555, 37495, 22653, 3714, 9957, 14739, 35457, 1975, 46456, 3555, 9640, 4724, 7435, 1829, 3555, 11296, 8978, 16490, 9566, 2407, 3660, 8032, 4117, 15730, 4032, 21984, 6055, 29399, 3224, 1829, 2423, 7955, 2423, 7955, 25724, 3215, 2288, 3215, 23758, 3714, 7435, 2304, 3615, 30767, 16373, 3215, 9154, 11331, 3215, 19446, 13412, 38688, 9122, 2304, 10632, 6055, 32640, 7649, 1829, 4032, 19446, 3555, 1863, 28543, 2288, 8592, 7251, 3555, 4587, 7578, 5296, 4117, 14407, 9660, 11778, 13063, 1829, 15844, 28242, 33962, 9566, 6156, 3555, 26108, 1829, 4724, 39648, 3224, 3714, 9957], "avg_logprob": -0.3340277782192937, "compression_ratio": 1.7769516728624535, "no_speech_prob": 0.0, "words": [{"start": 1610.08, "end": 1610.62, "word": "مدام", "probability": 0.56884765625}, {"start": 1610.62, "end": 1610.98, "word": " كل", "probability": 0.94287109375}, {"start": 1610.98, "end": 1611.72, "word": " الحدود", "probability": 0.9755859375}, {"start": 1611.72, "end": 1612.16, "word": " موجة", "probability": 0.7999674479166666}, {"start": 1612.16, "end": 1612.38, "word": " باجي", "probability": 0.7722981770833334}, {"start": 1612.38, "end": 1613.04, "word": " بشوف", "probability": 0.9111328125}, {"start": 1613.04, "end": 1613.68, "word": " ماهو", "probability": 0.7476399739583334}, {"start": 1613.68, "end": 1614.58, "word": " الاختبار", "probability": 0.9033203125}, {"start": 1614.58, "end": 1615.64, "word": " الأنسب", "probability": 0.9010416666666666}, {"start": 1615.64, "end": 1616.66, "word": " للحكم", "probability": 0.9070638020833334}, {"start": 1616.66, "end": 1616.92, "word": " على", "probability": 0.7421875}, {"start": 1616.92, "end": 1617.28, "word": " هذه", "probability": 0.7451171875}, {"start": 1617.28, "end": 1617.46, "word": " ال", "probability": 0.8857421875}, {"start": 1617.46, "end": 1617.74, "word": " series", "probability": 0.8515625}, {"start": 1617.74, "end": 1618.02, "word": " هل", "probability": 0.940673828125}, {"start": 1618.02, "end": 1618.14, "word": " هي", "probability": 0.892578125}, {"start": 1618.14, "end": 1618.32, "word": " a", "probability": 0.05029296875}, {"start": 1618.32, "end": 1619.04, "word": " conveyor", "probability": 0.438232421875}, {"start": 1619.04, "end": 1619.48, "word": " و", "probability": 0.35888671875}, {"start": 1619.48, "end": 1619.94, "word": " الله", "probability": 0.65234375}, {"start": 1619.94, "end": 1620.5, "word": " طيب", "probability": 0.8153483072916666}, {"start": 1620.5, "end": 1621.06, "word": " يعني", "probability": 0.87744140625}, {"start": 1621.06, "end": 1621.4, "word": " مين", "probability": 0.888427734375}, {"start": 1621.4, "end": 1621.66, "word": " أنسب", "probability": 0.915283203125}, {"start": 1621.66, "end": 1622.24, "word": " اختبار", "probability": 0.974609375}, {"start": 1622.24, "end": 1622.76, "word": " بجيبها", "probability": 0.8701171875}, {"start": 1622.76, "end": 1622.9, "word": " في", "probability": 0.82373046875}, {"start": 1622.9, "end": 1623.42, "word": " خطوة", "probability": 0.9771728515625}, {"start": 1623.42, "end": 1623.84, "word": " هكذا", "probability": 0.5733235677083334}, {"start": 1623.84, "end": 1623.96, "word": " و", "probability": 0.406005859375}, {"start": 1623.96, "end": 1624.12, "word": " الله", "probability": 0.7763671875}, {"start": 1624.12, "end": 1624.66, "word": " تنتهي", "probability": 0.967041015625}, {"start": 1624.66, "end": 1624.96, "word": " ال", "probability": 0.70458984375}, {"start": 1624.96, "end": 1625.28, "word": " route", "probability": 0.541015625}, {"start": 1625.28, "end": 1626.58, "word": " ال", "probability": 0.67431640625}, {"start": 1626.58, "end": 1626.58, "word": " route", "probability": 0.383056640625}, {"start": 1626.58, "end": 1628.54, "word": " الجدرد", "probability": 0.519378662109375}, {"start": 1628.54, "end": 1630.06, "word": " هذا", "probability": 0.671875}, {"start": 1630.06, "end": 1630.88, "word": " مجمع", "probability": 0.77880859375}, {"start": 1630.88, "end": 1632.16, "word": " زائد", "probability": 0.8082682291666666}, {"start": 1632.16, "end": 1632.48, "word": " من", "probability": 0.247314453125}, {"start": 1632.48, "end": 1632.72, "word": " حد", "probability": 0.98486328125}, {"start": 1632.72, "end": 1632.82, "word": " ما", "probability": 0.69140625}, {"start": 1632.82, "end": 1633.06, "word": " شوف", "probability": 0.76513671875}, {"start": 1633.06, "end": 1633.44, "word": " كمية", "probability": 0.73681640625}, {"start": 1633.44, "end": 1633.82, "word": " تيماني", "probability": 0.6131591796875}, {"start": 1633.82, "end": 1633.88, "word": " و", "probability": 0.47998046875}, {"start": 1633.88, "end": 1634.74, "word": " مابنقدرش", "probability": 0.7400309244791666}, {"start": 1634.74, "end": 1635.54, "word": " يبقى", "probability": 0.74200439453125}, {"start": 1635.54, "end": 1635.82, "word": " لكوا", "probability": 0.4462076822916667}, {"start": 1635.82, "end": 1636.26, "word": " comparison", "probability": 0.40478515625}, {"start": 1636.26, "end": 1636.74, "word": " دوري", "probability": 0.7733561197916666}, {"start": 1636.74, "end": 1636.96, "word": " على", "probability": 0.93408203125}, {"start": 1636.96, "end": 1637.28, "word": " كل", "probability": 0.984375}, {"start": 1637.28, "end": 1637.78, "word": " الخط", "probability": 0.97607421875}, {"start": 1637.78, "end": 1638.82, "word": " فباجي", "probability": 0.839111328125}, {"start": 1638.82, "end": 1639.38, "word": " بقوله", "probability": 0.8043619791666666}, {"start": 1639.38, "end": 1639.74, "word": " مين", "probability": 0.750732421875}], "temperature": 1.0}, {"id": 70, "seek": 165366, "start": 1640.28, "end": 1653.66, "text": "لإتنين لإتنين to the power n على n زائد خمسة to the power n يبقى اتنين هذا صغير إذا قُرن ب2 أس M", "tokens": [1211, 28814, 2655, 1863, 9957, 5296, 28814, 2655, 1863, 9957, 281, 264, 1347, 297, 15844, 297, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 281, 264, 1347, 297, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 23758, 20328, 17082, 13546, 11933, 15730, 12174, 10859, 2288, 1863, 4724, 17, 5551, 3794, 376], "avg_logprob": -0.2369791707571815, "compression_ratio": 1.2831858407079646, "no_speech_prob": 0.0, "words": [{"start": 1640.28, "end": 1641.54, "word": "لإتنين", "probability": 0.70009765625}, {"start": 1641.54, "end": 1643.0, "word": " لإتنين", "probability": 0.79482421875}, {"start": 1643.0, "end": 1643.28, "word": " to", "probability": 0.75927734375}, {"start": 1643.28, "end": 1643.54, "word": " the", "probability": 0.89501953125}, {"start": 1643.54, "end": 1644.1, "word": " power", "probability": 0.91796875}, {"start": 1644.1, "end": 1644.54, "word": " n", "probability": 0.37255859375}, {"start": 1644.54, "end": 1645.42, "word": " على", "probability": 0.78466796875}, {"start": 1645.42, "end": 1645.92, "word": " n", "probability": 0.81201171875}, {"start": 1645.92, "end": 1646.54, "word": " زائد", "probability": 0.7975260416666666}, {"start": 1646.54, "end": 1647.32, "word": " خمسة", "probability": 0.9610595703125}, {"start": 1647.32, "end": 1647.5, "word": " to", "probability": 0.95751953125}, {"start": 1647.5, "end": 1647.7, "word": " the", "probability": 0.912109375}, {"start": 1647.7, "end": 1648.26, "word": " power", "probability": 0.88671875}, {"start": 1648.26, "end": 1648.72, "word": " n", "probability": 0.80712890625}, {"start": 1648.72, "end": 1650.14, "word": " يبقى", "probability": 0.89111328125}, {"start": 1650.14, "end": 1650.52, "word": " اتنين", "probability": 0.880615234375}, {"start": 1650.52, "end": 1650.92, "word": " هذا", "probability": 0.90576171875}, {"start": 1650.92, "end": 1651.42, "word": " صغير", "probability": 0.9915364583333334}, {"start": 1651.42, "end": 1651.78, "word": " إذا", "probability": 0.875}, {"start": 1651.78, "end": 1652.32, "word": " قُرن", "probability": 0.837158203125}, {"start": 1652.32, "end": 1652.88, "word": " ب2", "probability": 0.591552734375}, {"start": 1652.88, "end": 1653.32, "word": " أس", "probability": 0.760009765625}, {"start": 1653.32, "end": 1653.66, "word": " M", "probability": 0.44140625}], "temperature": 1.0}, {"id": 71, "seek": 167849, "start": 1654.27, "end": 1678.49, "text": "الـ N صغير إذا قُرن بالخمسة و أس إن اللي بدي اتحكم في البصرة اتنين أس M و بدي اتحكم في المقام خمسة to the power M إذا لو أهملنا هم بيقولوا لك بضل كده؟ خمسين أس إن يعني Geometrics الاساس تبعها خمسين أقل من واحد يبقى converged يبقى خلاصة بدي أمشي إيه؟", "tokens": [6027, 39184, 426, 20328, 17082, 13546, 11933, 15730, 12174, 10859, 2288, 1863, 20666, 9778, 2304, 3794, 3660, 4032, 5551, 3794, 11933, 1863, 13672, 1829, 4724, 16254, 1975, 2655, 5016, 24793, 8978, 29739, 9381, 25720, 1975, 2655, 1863, 9957, 5551, 3794, 376, 4032, 4724, 16254, 1975, 2655, 5016, 24793, 8978, 9673, 4587, 10943, 16490, 2304, 3794, 3660, 281, 264, 1347, 376, 11933, 15730, 45164, 5551, 16095, 1211, 8315, 8032, 2304, 4724, 1829, 39648, 14407, 5296, 4117, 4724, 11242, 1211, 9122, 3215, 3224, 22807, 16490, 2304, 3794, 9957, 5551, 3794, 11933, 1863, 37495, 22653, 2876, 29470, 82, 2423, 32277, 32277, 6055, 3555, 3615, 11296, 16490, 2304, 3794, 9957, 5551, 4587, 1211, 9154, 36764, 24401, 7251, 3555, 4587, 7578, 9652, 3004, 7251, 3555, 4587, 7578, 16490, 1211, 33546, 3660, 4724, 16254, 5551, 2304, 8592, 1829, 11933, 1829, 3224, 22807], "avg_logprob": -0.29356750606620396, "compression_ratio": 1.689795918367347, "no_speech_prob": 0.0, "words": [{"start": 1654.27, "end": 1654.71, "word": "الـ", "probability": 0.4803466796875}, {"start": 1654.71, "end": 1654.87, "word": " N", "probability": 0.474853515625}, {"start": 1654.87, "end": 1655.31, "word": " صغير", "probability": 0.93994140625}, {"start": 1655.31, "end": 1655.61, "word": " إذا", "probability": 0.6678466796875}, {"start": 1655.61, "end": 1656.15, "word": " قُرن", "probability": 0.76708984375}, {"start": 1656.15, "end": 1656.95, "word": " بالخمسة", "probability": 0.90732421875}, {"start": 1656.95, "end": 1657.05, "word": " و", "probability": 0.79150390625}, {"start": 1657.05, "end": 1657.23, "word": " أس", "probability": 0.5931396484375}, {"start": 1657.23, "end": 1657.45, "word": " إن", "probability": 0.4801025390625}, {"start": 1657.45, "end": 1657.61, "word": " اللي", "probability": 0.736083984375}, {"start": 1657.61, "end": 1658.09, "word": " بدي", "probability": 0.590087890625}, {"start": 1658.09, "end": 1658.71, "word": " اتحكم", "probability": 0.8369140625}, {"start": 1658.71, "end": 1658.87, "word": " في", "probability": 0.6318359375}, {"start": 1658.87, "end": 1659.37, "word": " البصرة", "probability": 0.5556640625}, {"start": 1659.37, "end": 1659.85, "word": " اتنين", "probability": 0.7657623291015625}, {"start": 1659.85, "end": 1660.23, "word": " أس", "probability": 0.80078125}, {"start": 1660.23, "end": 1660.59, "word": " M", "probability": 0.6474609375}, {"start": 1660.59, "end": 1661.21, "word": " و", "probability": 0.62451171875}, {"start": 1661.21, "end": 1661.41, "word": " بدي", "probability": 0.86474609375}, {"start": 1661.41, "end": 1661.87, "word": " اتحكم", "probability": 0.9139404296875}, {"start": 1661.87, "end": 1662.01, "word": " في", "probability": 0.8896484375}, {"start": 1662.01, "end": 1662.49, "word": " المقام", "probability": 0.9762369791666666}, {"start": 1662.49, "end": 1663.09, "word": " خمسة", "probability": 0.975830078125}, {"start": 1663.09, "end": 1663.25, "word": " to", "probability": 0.84423828125}, {"start": 1663.25, "end": 1663.51, "word": " the", "probability": 0.90869140625}, {"start": 1663.51, "end": 1664.15, "word": " power", "probability": 0.8828125}, {"start": 1664.15, "end": 1664.69, "word": " M", "probability": 0.9384765625}, {"start": 1664.69, "end": 1665.41, "word": " إذا", "probability": 0.83447265625}, {"start": 1665.41, "end": 1665.63, "word": " لو", "probability": 0.96923828125}, {"start": 1665.63, "end": 1666.13, "word": " أهملنا", "probability": 0.8836669921875}, {"start": 1666.13, "end": 1666.25, "word": " هم", "probability": 0.46795654296875}, {"start": 1666.25, "end": 1666.47, "word": " بيقولوا", "probability": 0.7154541015625}, {"start": 1666.47, "end": 1666.53, "word": " لك", "probability": 0.763671875}, {"start": 1666.53, "end": 1666.83, "word": " بضل", "probability": 0.5948893229166666}, {"start": 1666.83, "end": 1667.79, "word": " كده؟", "probability": 0.756103515625}, {"start": 1667.79, "end": 1669.41, "word": " خمسين", "probability": 0.837646484375}, {"start": 1669.41, "end": 1669.85, "word": " أس", "probability": 0.761962890625}, {"start": 1669.85, "end": 1670.17, "word": " إن", "probability": 0.635009765625}, {"start": 1670.17, "end": 1670.51, "word": " يعني", "probability": 0.799072265625}, {"start": 1670.51, "end": 1671.71, "word": " Geometrics", "probability": 0.4910888671875}, {"start": 1671.71, "end": 1672.37, "word": " الاساس", "probability": 0.802734375}, {"start": 1672.37, "end": 1673.29, "word": " تبعها", "probability": 0.92236328125}, {"start": 1673.29, "end": 1674.27, "word": " خمسين", "probability": 0.86102294921875}, {"start": 1674.27, "end": 1674.73, "word": " أقل", "probability": 0.958984375}, {"start": 1674.73, "end": 1674.87, "word": " من", "probability": 0.9951171875}, {"start": 1674.87, "end": 1675.29, "word": " واحد", "probability": 0.990478515625}, {"start": 1675.29, "end": 1675.69, "word": " يبقى", "probability": 0.8642578125}, {"start": 1675.69, "end": 1676.57, "word": " converged", "probability": 0.6007080078125}, {"start": 1676.57, "end": 1676.97, "word": " يبقى", "probability": 0.9075927734375}, {"start": 1676.97, "end": 1677.51, "word": " خلاصة", "probability": 0.8355712890625}, {"start": 1677.51, "end": 1677.77, "word": " بدي", "probability": 0.789794921875}, {"start": 1677.77, "end": 1678.13, "word": " أمشي", "probability": 0.960693359375}, {"start": 1678.13, "end": 1678.49, "word": " إيه؟", "probability": 0.779052734375}], "temperature": 1.0}, {"id": 72, "seek": 169988, "start": 1678.62, "end": 1699.88, "text": "أقل من .. طيب هذه أقل من اتنين في الاتنين أس N على خمسة أس N صح كتبتنا هيك؟ غلط صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح", "tokens": [10721, 4587, 1211, 9154, 4386, 23032, 1829, 3555, 29538, 5551, 4587, 1211, 9154, 1975, 2655, 1863, 9957, 8978, 2423, 9307, 1863, 9957, 5551, 3794, 426, 15844, 16490, 2304, 3794, 3660, 5551, 3794, 426, 20328, 5016, 9122, 2655, 3555, 2655, 8315, 39896, 4117, 22807, 32771, 1211, 9566, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016, 20328, 5016], "avg_logprob": -0.07451389206780328, "compression_ratio": 5.178571428571429, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1678.62, "end": 1679.74, "word": "أقل", "probability": 0.8824869791666666}, {"start": 1679.74, "end": 1680.18, "word": " من", "probability": 0.9443359375}, {"start": 1680.18, "end": 1680.48, "word": " ..", "probability": 0.1778564453125}, {"start": 1680.48, "end": 1681.5, "word": " طيب", "probability": 0.8525390625}, {"start": 1681.5, "end": 1682.3, "word": " هذه", "probability": 0.61767578125}, {"start": 1682.3, "end": 1683.32, "word": " أقل", "probability": 0.9521484375}, {"start": 1683.32, "end": 1683.82, "word": " من", "probability": 0.9970703125}, {"start": 1683.82, "end": 1684.82, "word": " اتنين", "probability": 0.880126953125}, {"start": 1684.82, "end": 1685.42, "word": " في", "probability": 0.76318359375}, {"start": 1685.42, "end": 1686.36, "word": " الاتنين", "probability": 0.8660888671875}, {"start": 1686.36, "end": 1686.86, "word": " أس", "probability": 0.778564453125}, {"start": 1686.86, "end": 1687.38, "word": " N", "probability": 0.354736328125}, {"start": 1687.38, "end": 1688.06, "word": " على", "probability": 0.64208984375}, {"start": 1688.06, "end": 1688.78, "word": " خمسة", "probability": 0.96728515625}, {"start": 1688.78, "end": 1689.02, "word": " أس", "probability": 0.9345703125}, {"start": 1689.02, "end": 1689.32, "word": " N", "probability": 0.98681640625}, {"start": 1689.32, "end": 1689.96, "word": " صح", "probability": 0.93212890625}, {"start": 1689.96, "end": 1690.7, "word": " كتبتنا", "probability": 0.98759765625}, {"start": 1690.7, "end": 1693.04, "word": " هيك؟", "probability": 0.77490234375}, {"start": 1693.04, "end": 1694.96, "word": " غلط", "probability": 0.94384765625}, {"start": 1694.96, "end": 1695.92, "word": " صح", "probability": 0.638427734375}, {"start": 1695.92, "end": 1696.76, "word": " صح", "probability": 0.772705078125}, {"start": 1696.76, "end": 1697.22, "word": " صح", "probability": 0.95166015625}, {"start": 1697.22, "end": 1697.52, "word": " صح", "probability": 0.95703125}, {"start": 1697.52, "end": 1697.82, "word": " صح", "probability": 0.95703125}, {"start": 1697.82, "end": 1698.12, "word": " صح", "probability": 0.9638671875}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.97119140625}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.976318359375}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.979736328125}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.981689453125}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.98291015625}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.9833984375}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.983642578125}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.98388671875}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.98388671875}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.983642578125}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.983642578125}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.9833984375}, {"start": 1698.12, "end": 1698.12, "word": " صح", "probability": 0.983154296875}, {"start": 1698.12, "end": 1698.3, "word": " صح", "probability": 0.983154296875}, {"start": 1698.3, "end": 1698.32, "word": " صح", "probability": 0.98291015625}, {"start": 1698.32, "end": 1698.32, "word": " صح", "probability": 0.98291015625}, {"start": 1698.32, "end": 1698.32, "word": " صح", "probability": 0.982666015625}, {"start": 1698.32, "end": 1698.32, "word": " صح", "probability": 0.982666015625}, {"start": 1698.32, "end": 1698.32, "word": " صح", "probability": 0.982421875}, {"start": 1698.32, "end": 1698.32, "word": " صح", "probability": 0.982177734375}, {"start": 1698.32, "end": 1698.32, "word": " صح", "probability": 0.982177734375}, {"start": 1698.32, "end": 1698.32, "word": " صح", "probability": 0.982177734375}, {"start": 1698.32, "end": 1698.32, "word": " صح", "probability": 0.98193359375}, {"start": 1698.32, "end": 1698.32, "word": " صح", "probability": 0.98193359375}, {"start": 1698.32, "end": 1698.46, "word": " صح", "probability": 0.98193359375}, {"start": 1698.46, "end": 1698.6, "word": " صح", "probability": 0.98193359375}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.981689453125}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.981689453125}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.981689453125}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.981201171875}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.981201171875}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.98095703125}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.980712890625}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.980712890625}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.98046875}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.97998046875}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.979736328125}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.9794921875}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.979248046875}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.978759765625}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.97802734375}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.977783203125}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.97705078125}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.976806640625}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.976318359375}, {"start": 1698.6, "end": 1698.6, "word": " صح", "probability": 0.9755859375}, {"start": 1698.6, "end": 1698.64, "word": " صح", "probability": 0.974853515625}, {"start": 1698.64, "end": 1698.64, "word": " صح", "probability": 0.974365234375}, {"start": 1698.64, "end": 1698.64, "word": " صح", "probability": 0.972900390625}, {"start": 1698.64, "end": 1698.64, "word": " صح", "probability": 0.971923828125}, {"start": 1698.64, "end": 1698.64, "word": " صح", "probability": 0.97119140625}, {"start": 1698.64, "end": 1698.64, "word": " صح", "probability": 0.97021484375}, {"start": 1698.64, "end": 1698.68, "word": " صح", "probability": 0.96923828125}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.968017578125}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.967041015625}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.96533203125}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.96484375}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.963623046875}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.96240234375}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.960693359375}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.95947265625}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.9580078125}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.9560546875}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.953857421875}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.953369140625}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.949951171875}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.9482421875}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.946044921875}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.944091796875}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.942138671875}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.939697265625}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.936279296875}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.9345703125}, {"start": 1698.68, "end": 1698.68, "word": " صح", "probability": 0.931396484375}, {"start": 1698.68, "end": 1698.7, "word": " صح", "probability": 0.929931640625}, {"start": 1698.7, "end": 1698.7, "word": " صح", "probability": 0.92626953125}, {"start": 1698.7, "end": 1698.7, "word": " صح", "probability": 0.92236328125}, {"start": 1698.7, "end": 1698.7, "word": " صح", "probability": 0.920166015625}, {"start": 1698.7, "end": 1698.7, "word": " صح", "probability": 0.916015625}, {"start": 1698.7, "end": 1698.7, "word": " صح", "probability": 0.9111328125}, {"start": 1698.7, "end": 1698.7, "word": " صح", "probability": 0.909423828125}, {"start": 1698.7, "end": 1699.46, "word": " صح", "probability": 0.903076171875}, {"start": 1699.46, "end": 1699.88, "word": " صح", "probability": 0.898681640625}], "temperature": 1.0}, {"id": 73, "seek": 172632, "start": 1701.32, "end": 1726.32, "text": "مافيش امكانية بدا شو ساوي ليش لان ال N فيش حاجة اقبلها هنا يبقى انما صح مائة بالمائة هذه هي اتنين في خمسين to the power N فبجي بقوله but ولكن اتنين او summation دُغري but summation من N equal one to infinity", "tokens": [15042, 41185, 8592, 1975, 2304, 41361, 10632, 4724, 28259, 13412, 2407, 8608, 995, 45865, 32239, 8592, 5296, 7649, 2423, 426, 8978, 8592, 11331, 26108, 3660, 1975, 4587, 36150, 11296, 34105, 7251, 3555, 4587, 7578, 16472, 15042, 20328, 5016, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 29538, 39896, 1975, 2655, 1863, 9957, 8978, 16490, 2304, 3794, 9957, 281, 264, 1347, 426, 6156, 3555, 7435, 1829, 4724, 39648, 3224, 457, 35525, 19452, 1975, 2655, 1863, 9957, 1975, 2407, 28811, 11778, 10859, 17082, 16572, 457, 28811, 9154, 426, 2681, 472, 281, 13202], "avg_logprob": -0.3010416759385003, "compression_ratio": 1.5388349514563107, "no_speech_prob": 0.0, "words": [{"start": 1701.32, "end": 1701.7, "word": "مافيش", "probability": 0.26959228515625}, {"start": 1701.7, "end": 1702.3, "word": " امكانية", "probability": 0.8094482421875}, {"start": 1702.3, "end": 1702.56, "word": " بدا", "probability": 0.3369140625}, {"start": 1702.56, "end": 1702.78, "word": " شو", "probability": 0.717041015625}, {"start": 1702.78, "end": 1703.08, "word": " ساوي", "probability": 0.8536783854166666}, {"start": 1703.08, "end": 1703.52, "word": " ليش", "probability": 0.60772705078125}, {"start": 1703.52, "end": 1704.2, "word": " لان", "probability": 0.52392578125}, {"start": 1704.2, "end": 1704.42, "word": " ال", "probability": 0.93212890625}, {"start": 1704.42, "end": 1704.64, "word": " N", "probability": 0.392822265625}, {"start": 1704.64, "end": 1705.06, "word": " فيش", "probability": 0.6746826171875}, {"start": 1705.06, "end": 1705.48, "word": " حاجة", "probability": 0.9895833333333334}, {"start": 1705.48, "end": 1705.98, "word": " اقبلها", "probability": 0.8026123046875}, {"start": 1705.98, "end": 1706.28, "word": " هنا", "probability": 0.935546875}, {"start": 1706.28, "end": 1707.06, "word": " يبقى", "probability": 0.960205078125}, {"start": 1707.06, "end": 1707.48, "word": " انما", "probability": 0.4918212890625}, {"start": 1707.48, "end": 1707.8, "word": " صح", "probability": 0.98779296875}, {"start": 1707.8, "end": 1708.24, "word": " مائة", "probability": 0.7926432291666666}, {"start": 1708.24, "end": 1708.94, "word": " بالمائة", "probability": 0.952392578125}, {"start": 1708.94, "end": 1709.82, "word": " هذه", "probability": 0.6083984375}, {"start": 1709.82, "end": 1710.34, "word": " هي", "probability": 0.77294921875}, {"start": 1710.34, "end": 1711.16, "word": " اتنين", "probability": 0.9443359375}, {"start": 1711.16, "end": 1711.46, "word": " في", "probability": 0.95263671875}, {"start": 1711.46, "end": 1712.48, "word": " خمسين", "probability": 0.9566650390625}, {"start": 1712.48, "end": 1712.76, "word": " to", "probability": 0.91015625}, {"start": 1712.76, "end": 1712.98, "word": " the", "probability": 0.91357421875}, {"start": 1712.98, "end": 1713.54, "word": " power", "probability": 0.90673828125}, {"start": 1713.54, "end": 1713.98, "word": " N", "probability": 0.7470703125}, {"start": 1713.98, "end": 1714.96, "word": " فبجي", "probability": 0.70269775390625}, {"start": 1714.96, "end": 1715.7, "word": " بقوله", "probability": 0.88330078125}, {"start": 1715.7, "end": 1716.24, "word": " but", "probability": 0.79638671875}, {"start": 1716.24, "end": 1717.42, "word": " ولكن", "probability": 0.72509765625}, {"start": 1717.42, "end": 1718.46, "word": " اتنين", "probability": 0.9525146484375}, {"start": 1718.46, "end": 1718.92, "word": " او", "probability": 0.837646484375}, {"start": 1718.92, "end": 1719.9, "word": " summation", "probability": 0.736328125}, {"start": 1719.9, "end": 1720.78, "word": " دُغري", "probability": 0.72113037109375}, {"start": 1720.78, "end": 1721.94, "word": " but", "probability": 0.7275390625}, {"start": 1721.94, "end": 1723.06, "word": " summation", "probability": 0.8974609375}, {"start": 1723.06, "end": 1723.94, "word": " من", "probability": 0.97216796875}, {"start": 1723.94, "end": 1724.26, "word": " N", "probability": 0.80908203125}, {"start": 1724.26, "end": 1724.72, "word": " equal", "probability": 0.7509765625}, {"start": 1724.72, "end": 1725.14, "word": " one", "probability": 0.89892578125}, {"start": 1725.14, "end": 1725.44, "word": " to", "probability": 0.96875}, {"start": 1725.44, "end": 1726.32, "word": " infinity", "probability": 0.830078125}], "temperature": 1.0}, {"id": 74, "seek": 175261, "start": 1726.75, "end": 1752.61, "text": "للي اتنين في اتنين على خمسة to the power n convert geometric series السبب because ان ال absolute value لR يسوى خمسين اقل من الواحد الصحيح مادام convert يقولي اصغر منها convert يبقى باجي بقوله bye", "tokens": [1211, 20292, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 15844, 16490, 2304, 3794, 3660, 281, 264, 1347, 297, 7620, 33246, 2638, 21136, 3555, 3555, 570, 16472, 2423, 8236, 2158, 5296, 49, 7251, 3794, 2407, 7578, 16490, 2304, 3794, 9957, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 3714, 18513, 10943, 7620, 7251, 39648, 1829, 1975, 9381, 17082, 2288, 9154, 11296, 7620, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 6543], "avg_logprob": -0.25520832530963117, "compression_ratio": 1.5026455026455026, "no_speech_prob": 0.0, "words": [{"start": 1726.75, "end": 1727.43, "word": "للي", "probability": 0.40301513671875}, {"start": 1727.43, "end": 1727.93, "word": " اتنين", "probability": 0.779144287109375}, {"start": 1727.93, "end": 1728.13, "word": " في", "probability": 0.55029296875}, {"start": 1728.13, "end": 1728.59, "word": " اتنين", "probability": 0.980712890625}, {"start": 1728.59, "end": 1728.85, "word": " على", "probability": 0.66162109375}, {"start": 1728.85, "end": 1729.49, "word": " خمسة", "probability": 0.9720458984375}, {"start": 1729.49, "end": 1729.69, "word": " to", "probability": 0.63916015625}, {"start": 1729.69, "end": 1729.91, "word": " the", "probability": 0.89794921875}, {"start": 1729.91, "end": 1730.37, "word": " power", "probability": 0.8994140625}, {"start": 1730.37, "end": 1730.89, "word": " n", "probability": 0.44482421875}, {"start": 1730.89, "end": 1732.01, "word": " convert", "probability": 0.347900390625}, {"start": 1732.01, "end": 1734.01, "word": " geometric", "probability": 0.82177734375}, {"start": 1734.01, "end": 1735.05, "word": " series", "probability": 0.89697265625}, {"start": 1735.05, "end": 1736.51, "word": " السبب", "probability": 0.9763997395833334}, {"start": 1736.51, "end": 1738.37, "word": " because", "probability": 0.4267578125}, {"start": 1738.37, "end": 1739.15, "word": " ان", "probability": 0.7646484375}, {"start": 1739.15, "end": 1739.35, "word": " ال", "probability": 0.9111328125}, {"start": 1739.35, "end": 1739.93, "word": " absolute", "probability": 0.87841796875}, {"start": 1739.93, "end": 1740.53, "word": " value", "probability": 0.97216796875}, {"start": 1740.53, "end": 1741.07, "word": " لR", "probability": 0.5152587890625}, {"start": 1741.07, "end": 1741.75, "word": " يسوى", "probability": 0.8153076171875}, {"start": 1741.75, "end": 1742.95, "word": " خمسين", "probability": 0.956298828125}, {"start": 1742.95, "end": 1743.95, "word": " اقل", "probability": 0.8854166666666666}, {"start": 1743.95, "end": 1744.17, "word": " من", "probability": 0.99169921875}, {"start": 1744.17, "end": 1744.77, "word": " الواحد", "probability": 0.9677734375}, {"start": 1744.77, "end": 1745.49, "word": " الصحيح", "probability": 0.9296875}, {"start": 1745.49, "end": 1746.23, "word": " مادام", "probability": 0.7150065104166666}, {"start": 1746.23, "end": 1746.81, "word": " convert", "probability": 0.26708984375}, {"start": 1746.81, "end": 1747.35, "word": " يقولي", "probability": 0.8084309895833334}, {"start": 1747.35, "end": 1748.13, "word": " اصغر", "probability": 0.9197998046875}, {"start": 1748.13, "end": 1748.77, "word": " منها", "probability": 0.98974609375}, {"start": 1748.77, "end": 1750.17, "word": " convert", "probability": 0.703125}, {"start": 1750.17, "end": 1750.85, "word": " يبقى", "probability": 0.88134765625}, {"start": 1750.85, "end": 1751.27, "word": " باجي", "probability": 0.6206868489583334}, {"start": 1751.27, "end": 1751.91, "word": " بقوله", "probability": 0.9005533854166666}, {"start": 1751.91, "end": 1752.61, "word": " bye", "probability": 0.351318359375}], "temperature": 1.0}, {"id": 75, "seek": 177620, "start": 1753.16, "end": 1776.2, "text": "The comparison tests the series of absolute values لصميم لمين لان اتنين أس ان plus one على ان زاد خمسة to the power n", "tokens": [2278, 9660, 6921, 264, 2638, 295, 8236, 4190, 5296, 9381, 2304, 32640, 32767, 9957, 5296, 7649, 1975, 2655, 1863, 9957, 5551, 3794, 16472, 1804, 472, 15844, 16472, 30767, 18513, 16490, 2304, 3794, 3660, 281, 264, 1347, 297], "avg_logprob": -0.39000823152692693, "compression_ratio": 1.1811023622047243, "no_speech_prob": 0.0, "words": [{"start": 1753.16, "end": 1753.72, "word": "The", "probability": 0.051910400390625}, {"start": 1753.72, "end": 1755.38, "word": " comparison", "probability": 0.67138671875}, {"start": 1755.38, "end": 1756.34, "word": " tests", "probability": 0.248046875}, {"start": 1756.34, "end": 1757.16, "word": " the", "probability": 0.86865234375}, {"start": 1757.16, "end": 1758.38, "word": " series", "probability": 0.91845703125}, {"start": 1758.38, "end": 1759.8, "word": " of", "probability": 0.9697265625}, {"start": 1759.8, "end": 1761.28, "word": " absolute", "probability": 0.91796875}, {"start": 1761.28, "end": 1763.82, "word": " values", "probability": 0.96044921875}, {"start": 1763.82, "end": 1765.76, "word": " لصميم", "probability": 0.724365234375}, {"start": 1765.76, "end": 1766.98, "word": " لمين", "probability": 0.658447265625}, {"start": 1766.98, "end": 1767.44, "word": " لان", "probability": 0.474365234375}, {"start": 1767.44, "end": 1768.24, "word": " اتنين", "probability": 0.934326171875}, {"start": 1768.24, "end": 1768.86, "word": " أس", "probability": 0.5931396484375}, {"start": 1768.86, "end": 1769.3, "word": " ان", "probability": 0.47900390625}, {"start": 1769.3, "end": 1769.78, "word": " plus", "probability": 0.2359619140625}, {"start": 1769.78, "end": 1770.54, "word": " one", "probability": 0.94384765625}, {"start": 1770.54, "end": 1771.74, "word": " على", "probability": 0.58056640625}, {"start": 1771.74, "end": 1772.64, "word": " ان", "probability": 0.63720703125}, {"start": 1772.64, "end": 1773.78, "word": " زاد", "probability": 0.827880859375}, {"start": 1773.78, "end": 1774.58, "word": " خمسة", "probability": 0.978759765625}, {"start": 1774.58, "end": 1774.78, "word": " to", "probability": 0.9384765625}, {"start": 1774.78, "end": 1775.02, "word": " the", "probability": 0.92138671875}, {"start": 1775.02, "end": 1775.6, "word": " power", "probability": 0.9140625}, {"start": 1775.6, "end": 1776.2, "word": " n", "probability": 0.70556640625}], "temperature": 1.0}, {"id": 76, "seek": 180373, "start": 1777.21, "end": 1803.73, "text": "Convert يبقى الأصلية Convert absolutely يبقى the series للصميم من n equal one to infinity لنقص اتنين to the power n plus one على n زائد خمسة to the power n Convert absolutely", "tokens": [9838, 3281, 7251, 3555, 4587, 7578, 16247, 36520, 10632, 2656, 3281, 3122, 7251, 3555, 4587, 7578, 264, 2638, 24976, 9381, 2304, 32640, 9154, 297, 2681, 472, 281, 13202, 5296, 1863, 4587, 9381, 1975, 2655, 1863, 9957, 281, 264, 1347, 297, 1804, 472, 15844, 297, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 281, 264, 1347, 297, 2656, 3281, 3122], "avg_logprob": -0.3797669542037835, "compression_ratio": 1.391025641025641, "no_speech_prob": 0.0, "words": [{"start": 1777.21, "end": 1777.87, "word": "Convert", "probability": 0.327178955078125}, {"start": 1777.87, "end": 1778.19, "word": " يبقى", "probability": 0.8421630859375}, {"start": 1778.19, "end": 1779.05, "word": " الأصلية", "probability": 0.84619140625}, {"start": 1779.05, "end": 1780.45, "word": " Convert", "probability": 0.55474853515625}, {"start": 1780.45, "end": 1781.45, "word": " absolutely", "probability": 0.296142578125}, {"start": 1781.45, "end": 1782.65, "word": " يبقى", "probability": 0.9652099609375}, {"start": 1782.65, "end": 1782.91, "word": " the", "probability": 0.042633056640625}, {"start": 1782.91, "end": 1785.37, "word": " series", "probability": 0.802734375}, {"start": 1785.37, "end": 1787.33, "word": " للصميم", "probability": 0.500732421875}, {"start": 1787.33, "end": 1788.15, "word": " من", "probability": 0.65087890625}, {"start": 1788.15, "end": 1788.49, "word": " n", "probability": 0.49365234375}, {"start": 1788.49, "end": 1788.89, "word": " equal", "probability": 0.034332275390625}, {"start": 1788.89, "end": 1789.31, "word": " one", "probability": 0.787109375}, {"start": 1789.31, "end": 1789.59, "word": " to", "probability": 0.88037109375}, {"start": 1789.59, "end": 1790.49, "word": " infinity", "probability": 0.8134765625}, {"start": 1790.49, "end": 1791.97, "word": " لنقص", "probability": 0.7481689453125}, {"start": 1791.97, "end": 1792.49, "word": " اتنين", "probability": 0.9471435546875}, {"start": 1792.49, "end": 1792.71, "word": " to", "probability": 0.93505859375}, {"start": 1792.71, "end": 1792.95, "word": " the", "probability": 0.9091796875}, {"start": 1792.95, "end": 1793.37, "word": " power", "probability": 0.89404296875}, {"start": 1793.37, "end": 1793.77, "word": " n", "probability": 0.72216796875}, {"start": 1793.77, "end": 1794.31, "word": " plus", "probability": 0.947265625}, {"start": 1794.31, "end": 1794.85, "word": " one", "probability": 0.9580078125}, {"start": 1794.85, "end": 1795.85, "word": " على", "probability": 0.65478515625}, {"start": 1795.85, "end": 1796.41, "word": " n", "probability": 0.85498046875}, {"start": 1796.41, "end": 1797.35, "word": " زائد", "probability": 0.9197591145833334}, {"start": 1797.35, "end": 1798.15, "word": " خمسة", "probability": 0.9840087890625}, {"start": 1798.15, "end": 1798.33, "word": " to", "probability": 0.97314453125}, {"start": 1798.33, "end": 1798.57, "word": " the", "probability": 0.92333984375}, {"start": 1798.57, "end": 1799.13, "word": " power", "probability": 0.87939453125}, {"start": 1799.13, "end": 1799.75, "word": " n", "probability": 0.91845703125}, {"start": 1799.75, "end": 1801.67, "word": " Convert", "probability": 0.6859130859375}, {"start": 1801.67, "end": 1803.73, "word": " absolutely", "probability": 0.69677734375}], "temperature": 1.0}, {"id": 77, "seek": 183041, "start": 1828.57, "end": 1830.41, "text": "مثال رقم 5", "tokens": [2304, 12984, 6027, 12602, 4587, 2304, 1025], "avg_logprob": -0.14074706472456455, "compression_ratio": 0.6538461538461539, "no_speech_prob": 0.0, "words": [{"start": 1828.57, "end": 1829.57, "word": "مثال", "probability": 0.8064778645833334}, {"start": 1829.57, "end": 1830.07, "word": " رقم", "probability": 0.98291015625}, {"start": 1830.07, "end": 1830.41, "word": " 5", "probability": 0.8212890625}], "temperature": 1.0}, {"id": 78, "seek": 185867, "start": 1841.31, "end": 1858.67, "text": "مثال رقم خمسة بيقول ال summation من n equal one to infinity ل minus one to the power n plus one لمين؟ لل n تكييب اتنين ال n تكييب زائد تلاتة", "tokens": [2304, 12984, 6027, 12602, 4587, 2304, 16490, 2304, 3794, 3660, 4724, 1829, 39648, 2423, 28811, 9154, 297, 2681, 472, 281, 13202, 5296, 3175, 472, 281, 264, 1347, 297, 1804, 472, 32767, 9957, 22807, 24976, 297, 6055, 4117, 1829, 1829, 3555, 1975, 2655, 1863, 9957, 2423, 297, 6055, 4117, 1829, 1829, 3555, 30767, 16373, 3215, 6055, 1211, 9307, 3660], "avg_logprob": -0.30561439768742704, "compression_ratio": 1.3661971830985915, "no_speech_prob": 0.0, "words": [{"start": 1841.31, "end": 1841.77, "word": "مثال", "probability": 0.750244140625}, {"start": 1841.77, "end": 1842.25, "word": " رقم", "probability": 0.7794596354166666}, {"start": 1842.25, "end": 1842.77, "word": " خمسة", "probability": 0.78955078125}, {"start": 1842.77, "end": 1843.09, "word": " بيقول", "probability": 0.8255208333333334}, {"start": 1843.09, "end": 1843.35, "word": " ال", "probability": 0.28564453125}, {"start": 1843.35, "end": 1844.25, "word": " summation", "probability": 0.40673828125}, {"start": 1844.25, "end": 1845.43, "word": " من", "probability": 0.91650390625}, {"start": 1845.43, "end": 1845.77, "word": " n", "probability": 0.54345703125}, {"start": 1845.77, "end": 1846.33, "word": " equal", "probability": 0.54296875}, {"start": 1846.33, "end": 1846.79, "word": " one", "probability": 0.861328125}, {"start": 1846.79, "end": 1847.07, "word": " to", "probability": 0.94482421875}, {"start": 1847.07, "end": 1847.85, "word": " infinity", "probability": 0.84326171875}, {"start": 1847.85, "end": 1848.11, "word": " ل", "probability": 0.708984375}, {"start": 1848.11, "end": 1848.57, "word": " minus", "probability": 0.492919921875}, {"start": 1848.57, "end": 1849.19, "word": " one", "probability": 0.94189453125}, {"start": 1849.19, "end": 1849.77, "word": " to", "probability": 0.96484375}, {"start": 1849.77, "end": 1850.03, "word": " the", "probability": 0.9072265625}, {"start": 1850.03, "end": 1850.49, "word": " power", "probability": 0.87890625}, {"start": 1850.49, "end": 1850.95, "word": " n", "probability": 0.833984375}, {"start": 1850.95, "end": 1851.47, "word": " plus", "probability": 0.9638671875}, {"start": 1851.47, "end": 1852.41, "word": " one", "probability": 0.9521484375}, {"start": 1852.41, "end": 1853.49, "word": " لمين؟", "probability": 0.7051595052083334}, {"start": 1853.49, "end": 1853.73, "word": " لل", "probability": 0.55224609375}, {"start": 1853.73, "end": 1854.27, "word": " n", "probability": 0.251708984375}, {"start": 1854.27, "end": 1854.99, "word": " تكييب", "probability": 0.79638671875}, {"start": 1854.99, "end": 1855.61, "word": " اتنين", "probability": 0.9722900390625}, {"start": 1855.61, "end": 1855.83, "word": " ال", "probability": 0.27490234375}, {"start": 1855.83, "end": 1856.13, "word": " n", "probability": 0.466552734375}, {"start": 1856.13, "end": 1857.03, "word": " تكييب", "probability": 0.92568359375}, {"start": 1857.03, "end": 1858.01, "word": " زائد", "probability": 0.671875}, {"start": 1858.01, "end": 1858.67, "word": " تلاتة", "probability": 0.932861328125}], "temperature": 1.0}, {"id": 79, "seek": 188626, "start": 1861.04, "end": 1886.26, "text": "الجامعة اللى عملنا فيه كل الأمثلة السابقة بدنا ناخد the series of absolute values is summation من n equal one to infinity للإنت كيب على اتنين انت كيب زائد تلاتة", "tokens": [6027, 7435, 10943, 27884, 13672, 7578, 6225, 42213, 8315, 8978, 3224, 28242, 16247, 2304, 12984, 37977, 21136, 16758, 28671, 47525, 8315, 8717, 47283, 3215, 264, 2638, 295, 8236, 4190, 307, 28811, 9154, 297, 2681, 472, 281, 13202, 24976, 28814, 29399, 9122, 1829, 3555, 15844, 1975, 2655, 1863, 9957, 16472, 2655, 9122, 1829, 3555, 30767, 16373, 3215, 6055, 1211, 9307, 3660], "avg_logprob": -0.3045594399092627, "compression_ratio": 1.3563218390804597, "no_speech_prob": 0.0, "words": [{"start": 1861.04, "end": 1861.84, "word": "الجامعة", "probability": 0.45025634765625}, {"start": 1861.84, "end": 1862.02, "word": " اللى", "probability": 0.735107421875}, {"start": 1862.02, "end": 1862.58, "word": " عملنا", "probability": 0.82177734375}, {"start": 1862.58, "end": 1862.98, "word": " فيه", "probability": 0.658203125}, {"start": 1862.98, "end": 1863.34, "word": " كل", "probability": 0.884765625}, {"start": 1863.34, "end": 1864.04, "word": " الأمثلة", "probability": 0.968994140625}, {"start": 1864.04, "end": 1864.9, "word": " السابقة", "probability": 0.9923502604166666}, {"start": 1864.9, "end": 1865.76, "word": " بدنا", "probability": 0.7222900390625}, {"start": 1865.76, "end": 1866.62, "word": " ناخد", "probability": 0.9869791666666666}, {"start": 1866.62, "end": 1867.08, "word": " the", "probability": 0.1707763671875}, {"start": 1867.08, "end": 1868.08, "word": " series", "probability": 0.92919921875}, {"start": 1868.08, "end": 1869.14, "word": " of", "probability": 0.958984375}, {"start": 1869.14, "end": 1870.52, "word": " absolute", "probability": 0.9208984375}, {"start": 1870.52, "end": 1872.6, "word": " values", "probability": 0.9345703125}, {"start": 1872.6, "end": 1873.38, "word": " is", "probability": 0.37744140625}, {"start": 1873.38, "end": 1874.94, "word": " summation", "probability": 0.80419921875}, {"start": 1874.94, "end": 1876.34, "word": " من", "probability": 0.85205078125}, {"start": 1876.34, "end": 1876.94, "word": " n", "probability": 0.54833984375}, {"start": 1876.94, "end": 1877.86, "word": " equal", "probability": 0.51220703125}, {"start": 1877.86, "end": 1878.4, "word": " one", "probability": 0.7578125}, {"start": 1878.4, "end": 1878.76, "word": " to", "probability": 0.9501953125}, {"start": 1878.76, "end": 1879.7, "word": " infinity", "probability": 0.8583984375}, {"start": 1879.7, "end": 1881.28, "word": " للإنت", "probability": 0.6121419270833334}, {"start": 1881.28, "end": 1882.06, "word": " كيب", "probability": 0.7119140625}, {"start": 1882.06, "end": 1882.66, "word": " على", "probability": 0.7705078125}, {"start": 1882.66, "end": 1883.34, "word": " اتنين", "probability": 0.869873046875}, {"start": 1883.34, "end": 1883.96, "word": " انت", "probability": 0.720947265625}, {"start": 1883.96, "end": 1884.76, "word": " كيب", "probability": 0.9952799479166666}, {"start": 1884.76, "end": 1885.68, "word": " زائد", "probability": 0.7733561197916666}, {"start": 1885.68, "end": 1886.26, "word": " تلاتة", "probability": 0.927978515625}], "temperature": 1.0}, {"id": 80, "seek": 191614, "start": 1888.28, "end": 1916.14, "text": "بنشوف هل هذه ال series converge و الله diverse تمام؟ مين افضل اختبار لهذه الشغل دوري؟ comparison بيجيبها بس في عندي احسن منه limit اختبار الحد النوني و باختبار الحد النوني بنصيد عصفرين بحجرين واحد تمام؟ تعالى شوف اختبار الحد النوني يبقى بدي اخد limit", "tokens": [3555, 1863, 8592, 38688, 8032, 1211, 29538, 2423, 2638, 41881, 4032, 21984, 9521, 46811, 10943, 22807, 3714, 9957, 1975, 5172, 11242, 1211, 1975, 46456, 3555, 9640, 46740, 24192, 25124, 17082, 1211, 11778, 13063, 1829, 22807, 9660, 4724, 1829, 7435, 1829, 3555, 11296, 4724, 3794, 8978, 18871, 16254, 1975, 5016, 3794, 1863, 9154, 3224, 4948, 1975, 46456, 3555, 9640, 21542, 3215, 28239, 11536, 1829, 4032, 4724, 47283, 2655, 3555, 9640, 21542, 3215, 28239, 11536, 1829, 44945, 9381, 25708, 6225, 9381, 5172, 2288, 9957, 4724, 5016, 7435, 2288, 9957, 36764, 24401, 46811, 10943, 22807, 37279, 6027, 7578, 13412, 38688, 1975, 46456, 3555, 9640, 21542, 3215, 28239, 11536, 1829, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 9778, 3215, 4948], "avg_logprob": -0.1993856796851525, "compression_ratio": 1.8526785714285714, "no_speech_prob": 0.0, "words": [{"start": 1888.28, "end": 1888.92, "word": "بنشوف", "probability": 0.66143798828125}, {"start": 1888.92, "end": 1889.1, "word": " هل", "probability": 0.905517578125}, {"start": 1889.1, "end": 1889.38, "word": " هذه", "probability": 0.599609375}, {"start": 1889.38, "end": 1889.52, "word": " ال", "probability": 0.78466796875}, {"start": 1889.52, "end": 1889.78, "word": " series", "probability": 0.70556640625}, {"start": 1889.78, "end": 1890.68, "word": " converge", "probability": 0.6240234375}, {"start": 1890.68, "end": 1891.3, "word": " و", "probability": 0.63671875}, {"start": 1891.3, "end": 1891.54, "word": " الله", "probability": 0.43359375}, {"start": 1891.54, "end": 1892.14, "word": " diverse", "probability": 0.51611328125}, {"start": 1892.14, "end": 1893.06, "word": " تمام؟", "probability": 0.7047526041666666}, {"start": 1893.06, "end": 1893.88, "word": " مين", "probability": 0.8740234375}, {"start": 1893.88, "end": 1894.36, "word": " افضل", "probability": 0.8638916015625}, {"start": 1894.36, "end": 1894.88, "word": " اختبار", "probability": 0.982666015625}, {"start": 1894.88, "end": 1895.24, "word": " لهذه", "probability": 0.5771484375}, {"start": 1895.24, "end": 1895.64, "word": " الشغل", "probability": 0.8043619791666666}, {"start": 1895.64, "end": 1897.54, "word": " دوري؟", "probability": 0.7552490234375}, {"start": 1897.54, "end": 1898.22, "word": " comparison", "probability": 0.447265625}, {"start": 1898.22, "end": 1899.02, "word": " بيجيبها", "probability": 0.9031982421875}, {"start": 1899.02, "end": 1899.4, "word": " بس", "probability": 0.850830078125}, {"start": 1899.4, "end": 1899.54, "word": " في", "probability": 0.59619140625}, {"start": 1899.54, "end": 1899.78, "word": " عندي", "probability": 0.752197265625}, {"start": 1899.78, "end": 1900.24, "word": " احسن", "probability": 0.9312744140625}, {"start": 1900.24, "end": 1900.72, "word": " منه", "probability": 0.976318359375}, {"start": 1900.72, "end": 1901.36, "word": " limit", "probability": 0.7900390625}, {"start": 1901.36, "end": 1903.36, "word": " اختبار", "probability": 0.9476318359375}, {"start": 1903.36, "end": 1903.82, "word": " الحد", "probability": 0.991455078125}, {"start": 1903.82, "end": 1904.32, "word": " النوني", "probability": 0.8382161458333334}, {"start": 1904.32, "end": 1904.42, "word": " و", "probability": 0.66015625}, {"start": 1904.42, "end": 1904.9, "word": " باختبار", "probability": 0.79306640625}, {"start": 1904.9, "end": 1905.32, "word": " الحد", "probability": 0.993408203125}, {"start": 1905.32, "end": 1905.66, "word": " النوني", "probability": 0.9456380208333334}, {"start": 1905.66, "end": 1906.52, "word": " بنصيد", "probability": 0.9134114583333334}, {"start": 1906.52, "end": 1907.82, "word": " عصفرين", "probability": 0.9216796875}, {"start": 1907.82, "end": 1908.56, "word": " بحجرين", "probability": 0.88935546875}, {"start": 1908.56, "end": 1909.12, "word": " واحد", "probability": 0.980712890625}, {"start": 1909.12, "end": 1911.04, "word": " تمام؟", "probability": 0.79833984375}, {"start": 1911.04, "end": 1912.1, "word": " تعالى", "probability": 0.8362630208333334}, {"start": 1912.1, "end": 1912.38, "word": " شوف", "probability": 0.961181640625}, {"start": 1912.38, "end": 1912.98, "word": " اختبار", "probability": 0.9915771484375}, {"start": 1912.98, "end": 1913.48, "word": " الحد", "probability": 0.99267578125}, {"start": 1913.48, "end": 1914.16, "word": " النوني", "probability": 0.9742838541666666}, {"start": 1914.16, "end": 1914.78, "word": " يبقى", "probability": 0.7879638671875}, {"start": 1914.78, "end": 1915.04, "word": " بدي", "probability": 0.7059326171875}, {"start": 1915.04, "end": 1915.52, "word": " اخد", "probability": 0.89599609375}, {"start": 1915.52, "end": 1916.14, "word": " limit", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 81, "seek": 193277, "start": 1916.51, "end": 1932.77, "text": "للان لما ال N tends to infinity يبقى limit لما ال N tends to infinity لل N تكيب على 2 انت كيب زائد 3 limit لما ال N tends to infinity", "tokens": [1211, 1211, 7649, 5296, 15042, 2423, 426, 12258, 281, 13202, 7251, 3555, 4587, 7578, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 1211, 426, 6055, 4117, 1829, 3555, 15844, 568, 16472, 2655, 9122, 1829, 3555, 30767, 16373, 3215, 805, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202], "avg_logprob": -0.27168367346938777, "compression_ratio": 1.6990291262135921, "no_speech_prob": 0.0, "words": [{"start": 1916.51, "end": 1917.65, "word": "للان", "probability": 0.5797526041666666}, {"start": 1917.65, "end": 1918.79, "word": " لما", "probability": 0.809326171875}, {"start": 1918.79, "end": 1918.97, "word": " ال", "probability": 0.91162109375}, {"start": 1918.97, "end": 1919.31, "word": " N", "probability": 0.2076416015625}, {"start": 1919.31, "end": 1919.61, "word": " tends", "probability": 0.625}, {"start": 1919.61, "end": 1919.93, "word": " to", "probability": 0.92041015625}, {"start": 1919.93, "end": 1920.75, "word": " infinity", "probability": 0.85107421875}, {"start": 1920.75, "end": 1921.69, "word": " يبقى", "probability": 0.90185546875}, {"start": 1921.69, "end": 1922.11, "word": " limit", "probability": 0.92578125}, {"start": 1922.11, "end": 1922.47, "word": " لما", "probability": 0.964111328125}, {"start": 1922.47, "end": 1922.67, "word": " ال", "probability": 0.85986328125}, {"start": 1922.67, "end": 1923.01, "word": " N", "probability": 0.96923828125}, {"start": 1923.01, "end": 1923.33, "word": " tends", "probability": 0.6484375}, {"start": 1923.33, "end": 1923.61, "word": " to", "probability": 0.9404296875}, {"start": 1923.61, "end": 1924.43, "word": " infinity", "probability": 0.8984375}, {"start": 1924.43, "end": 1925.29, "word": " لل", "probability": 0.473876953125}, {"start": 1925.29, "end": 1925.67, "word": " N", "probability": 0.444091796875}, {"start": 1925.67, "end": 1926.27, "word": " تكيب", "probability": 0.744384765625}, {"start": 1926.27, "end": 1926.53, "word": " على", "probability": 0.7763671875}, {"start": 1926.53, "end": 1927.07, "word": " 2", "probability": 0.76708984375}, {"start": 1927.07, "end": 1927.67, "word": " انت", "probability": 0.54608154296875}, {"start": 1927.67, "end": 1928.21, "word": " كيب", "probability": 0.97021484375}, {"start": 1928.21, "end": 1928.87, "word": " زائد", "probability": 0.9143880208333334}, {"start": 1928.87, "end": 1929.47, "word": " 3", "probability": 0.77490234375}, {"start": 1929.47, "end": 1930.69, "word": " limit", "probability": 0.876953125}, {"start": 1930.69, "end": 1931.15, "word": " لما", "probability": 0.984619140625}, {"start": 1931.15, "end": 1931.31, "word": " ال", "probability": 0.93896484375}, {"start": 1931.31, "end": 1931.61, "word": " N", "probability": 0.9833984375}, {"start": 1931.61, "end": 1931.99, "word": " tends", "probability": 0.81787109375}, {"start": 1931.99, "end": 1932.25, "word": " to", "probability": 0.962890625}, {"start": 1932.25, "end": 1932.77, "word": " infinity", "probability": 0.90625}], "temperature": 1.0}, {"id": 82, "seek": 196248, "start": 1933.4, "end": 1962.48, "text": "أما تستخدم قاعدة لومتاليا تقسم كل من البص والمقام على انت كي بيبصير واحد على اتنين تلاتة على انت كي بيبص هذا يساوي زيرو إذا الناتج يساوي من؟ يبقى بالإنثيرم تستخدم the series of absolute values مالها by various يبقى بروح بقوله by the inf", "tokens": [10721, 15042, 6055, 14851, 9778, 40448, 12174, 995, 22488, 3660, 5296, 20498, 2655, 6027, 25528, 6055, 4587, 38251, 28242, 9154, 29739, 9381, 16070, 2304, 4587, 10943, 15844, 16472, 2655, 9122, 1829, 4724, 1829, 3555, 9381, 13546, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 15844, 16472, 2655, 9122, 1829, 4724, 1829, 3555, 9381, 23758, 7251, 3794, 995, 45865, 30767, 13546, 2407, 11933, 15730, 2423, 8315, 2655, 7435, 7251, 3794, 995, 45865, 9154, 22807, 7251, 3555, 4587, 7578, 20666, 28814, 1863, 12984, 13546, 2304, 6055, 14851, 9778, 40448, 264, 2638, 295, 8236, 4190, 3714, 6027, 11296, 538, 3683, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 3224, 538, 264, 1536], "avg_logprob": -0.41282894606130166, "compression_ratio": 1.7309417040358743, "no_speech_prob": 0.0, "words": [{"start": 1933.4, "end": 1933.94, "word": "أما", "probability": 0.411956787109375}, {"start": 1933.94, "end": 1934.68, "word": " تستخدم", "probability": 0.873291015625}, {"start": 1934.68, "end": 1935.34, "word": " قاعدة", "probability": 0.970947265625}, {"start": 1935.34, "end": 1935.88, "word": " لومتاليا", "probability": 0.51221923828125}, {"start": 1935.88, "end": 1936.46, "word": " تقسم", "probability": 0.49951171875}, {"start": 1936.46, "end": 1936.8, "word": " كل", "probability": 0.927734375}, {"start": 1936.8, "end": 1937.04, "word": " من", "probability": 0.295654296875}, {"start": 1937.04, "end": 1937.42, "word": " البص", "probability": 0.4378662109375}, {"start": 1937.42, "end": 1938.16, "word": " والمقام", "probability": 0.80511474609375}, {"start": 1938.16, "end": 1938.78, "word": " على", "probability": 0.82861328125}, {"start": 1938.78, "end": 1940.18, "word": " انت", "probability": 0.6177978515625}, {"start": 1940.18, "end": 1940.42, "word": " كي", "probability": 0.690673828125}, {"start": 1940.42, "end": 1941.08, "word": " بيبصير", "probability": 0.716455078125}, {"start": 1941.08, "end": 1942.0, "word": " واحد", "probability": 0.8896484375}, {"start": 1942.0, "end": 1942.78, "word": " على", "probability": 0.67041015625}, {"start": 1942.78, "end": 1943.56, "word": " اتنين", "probability": 0.9610595703125}, {"start": 1943.56, "end": 1944.6, "word": " تلاتة", "probability": 0.8720703125}, {"start": 1944.6, "end": 1944.84, "word": " على", "probability": 0.80908203125}, {"start": 1944.84, "end": 1945.26, "word": " انت", "probability": 0.907470703125}, {"start": 1945.26, "end": 1945.58, "word": " كي", "probability": 0.980224609375}, {"start": 1945.58, "end": 1946.48, "word": " بيبص", "probability": 0.8001708984375}, {"start": 1946.48, "end": 1946.48, "word": " هذا", "probability": 0.439453125}, {"start": 1946.48, "end": 1947.14, "word": " يساوي", "probability": 0.7996826171875}, {"start": 1947.14, "end": 1947.7, "word": " زيرو", "probability": 0.6722819010416666}, {"start": 1947.7, "end": 1948.32, "word": " إذا", "probability": 0.5982666015625}, {"start": 1948.32, "end": 1948.98, "word": " الناتج", "probability": 0.8221435546875}, {"start": 1948.98, "end": 1949.42, "word": " يساوي", "probability": 0.878173828125}, {"start": 1949.42, "end": 1950.16, "word": " من؟", "probability": 0.6170654296875}, {"start": 1950.16, "end": 1951.12, "word": " يبقى", "probability": 0.8717041015625}, {"start": 1951.12, "end": 1952.22, "word": " بالإنثيرم", "probability": 0.5489501953125}, {"start": 1952.22, "end": 1952.66, "word": " تستخدم", "probability": 0.66326904296875}, {"start": 1952.66, "end": 1952.9, "word": " the", "probability": 0.1455078125}, {"start": 1952.9, "end": 1953.48, "word": " series", "probability": 0.86474609375}, {"start": 1953.48, "end": 1953.84, "word": " of", "probability": 0.97119140625}, {"start": 1953.84, "end": 1954.48, "word": " absolute", "probability": 0.92431640625}, {"start": 1954.48, "end": 1954.9, "word": " values", "probability": 0.923828125}, {"start": 1954.9, "end": 1955.44, "word": " مالها", "probability": 0.7953287760416666}, {"start": 1955.44, "end": 1956.42, "word": " by", "probability": 0.323974609375}, {"start": 1956.42, "end": 1957.06, "word": " various", "probability": 0.11859130859375}, {"start": 1957.06, "end": 1957.9, "word": " يبقى", "probability": 0.9232177734375}, {"start": 1957.9, "end": 1958.32, "word": " بروح", "probability": 0.9078776041666666}, {"start": 1958.32, "end": 1959.14, "word": " بقوله", "probability": 0.7330729166666666}, {"start": 1959.14, "end": 1959.92, "word": " by", "probability": 0.890625}, {"start": 1959.92, "end": 1961.2, "word": " the", "probability": 0.89208984375}, {"start": 1961.2, "end": 1962.48, "word": " inf", "probability": 0.19384765625}], "temperature": 1.0}, {"id": 83, "seek": 199279, "start": 1963.17, "end": 1992.79, "text": "term test the series of absolute values by various طيب مادام by various بدنا نروح الشروط التلاتة لكن السؤال هو هذا هو الشرط التالت؟ ممتاز يبقى جاهز وخالص يبقى هنا but ولكن that", "tokens": [7039, 1500, 264, 2638, 295, 8236, 4190, 538, 3683, 23032, 1829, 3555, 3714, 18513, 10943, 538, 3683, 47525, 8315, 8717, 32887, 5016, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 44381, 21136, 33604, 6027, 31439, 23758, 31439, 25124, 2288, 9566, 16712, 6027, 2655, 22807, 3714, 2304, 2655, 31377, 7251, 3555, 4587, 7578, 10874, 40294, 11622, 4032, 9778, 6027, 9381, 7251, 3555, 4587, 7578, 34105, 457, 35525, 19452, 300], "avg_logprob": -0.26838236389791265, "compression_ratio": 1.5144508670520231, "no_speech_prob": 0.0, "words": [{"start": 1963.17, "end": 1963.95, "word": "term", "probability": 0.045135498046875}, {"start": 1963.95, "end": 1965.59, "word": " test", "probability": 0.83203125}, {"start": 1965.59, "end": 1966.99, "word": " the", "probability": 0.64111328125}, {"start": 1966.99, "end": 1968.13, "word": " series", "probability": 0.89892578125}, {"start": 1968.13, "end": 1969.93, "word": " of", "probability": 0.97119140625}, {"start": 1969.93, "end": 1971.87, "word": " absolute", "probability": 0.9091796875}, {"start": 1971.87, "end": 1974.97, "word": " values", "probability": 0.943359375}, {"start": 1974.97, "end": 1976.75, "word": " by", "probability": 0.81689453125}, {"start": 1976.75, "end": 1977.17, "word": " various", "probability": 0.560546875}, {"start": 1977.17, "end": 1979.11, "word": " طيب", "probability": 0.8326822916666666}, {"start": 1979.11, "end": 1979.85, "word": " مادام", "probability": 0.6265462239583334}, {"start": 1979.85, "end": 1980.05, "word": " by", "probability": 0.83056640625}, {"start": 1980.05, "end": 1980.37, "word": " various", "probability": 0.783203125}, {"start": 1980.37, "end": 1980.61, "word": " بدنا", "probability": 0.6717529296875}, {"start": 1980.61, "end": 1980.81, "word": " نروح", "probability": 0.9915364583333334}, {"start": 1980.81, "end": 1981.35, "word": " الشروط", "probability": 0.6940104166666666}, {"start": 1981.35, "end": 1981.97, "word": " التلاتة", "probability": 0.8807373046875}, {"start": 1981.97, "end": 1982.23, "word": " لكن", "probability": 0.6435546875}, {"start": 1982.23, "end": 1982.75, "word": " السؤال", "probability": 0.8977864583333334}, {"start": 1982.75, "end": 1983.07, "word": " هو", "probability": 0.69775390625}, {"start": 1983.07, "end": 1983.85, "word": " هذا", "probability": 0.482421875}, {"start": 1983.85, "end": 1984.13, "word": " هو", "probability": 0.947265625}, {"start": 1984.13, "end": 1984.69, "word": " الشرط", "probability": 0.9503580729166666}, {"start": 1984.69, "end": 1985.47, "word": " التالت؟", "probability": 0.783447265625}, {"start": 1985.47, "end": 1986.83, "word": " ممتاز", "probability": 0.8233642578125}, {"start": 1986.83, "end": 1987.13, "word": " يبقى", "probability": 0.92236328125}, {"start": 1987.13, "end": 1987.61, "word": " جاهز", "probability": 0.9895833333333334}, {"start": 1987.61, "end": 1988.25, "word": " وخالص", "probability": 0.8807373046875}, {"start": 1988.25, "end": 1989.29, "word": " يبقى", "probability": 0.9453125}, {"start": 1989.29, "end": 1989.77, "word": " هنا", "probability": 0.99169921875}, {"start": 1989.77, "end": 1990.49, "word": " but", "probability": 0.4423828125}, {"start": 1990.49, "end": 1991.75, "word": " ولكن", "probability": 0.78173828125}, {"start": 1991.75, "end": 1992.79, "word": " that", "probability": 0.459228515625}], "temperature": 1.0}, {"id": 84, "seek": 201662, "start": 1993.36, "end": 2016.62, "text": "third condition of the theorem is not satisfied that is يعني a n limit لل a n", "tokens": [25095, 4188, 295, 264, 20904, 307, 406, 11239, 300, 307, 37495, 22653, 257, 297, 4948, 24976, 257, 297], "avg_logprob": -0.30180921680048894, "compression_ratio": 1.064102564102564, "no_speech_prob": 0.0, "words": [{"start": 1993.36, "end": 1994.24, "word": "third", "probability": 0.4130859375}, {"start": 1994.24, "end": 1996.56, "word": " condition", "probability": 0.9638671875}, {"start": 1996.56, "end": 1999.42, "word": " of", "probability": 0.9677734375}, {"start": 1999.42, "end": 2000.86, "word": " the", "probability": 0.89453125}, {"start": 2000.86, "end": 2001.66, "word": " theorem", "probability": 0.89599609375}, {"start": 2001.66, "end": 2003.12, "word": " is", "probability": 0.9619140625}, {"start": 2003.12, "end": 2004.56, "word": " not", "probability": 0.95166015625}, {"start": 2004.56, "end": 2006.52, "word": " satisfied", "probability": 0.86767578125}, {"start": 2006.52, "end": 2009.74, "word": " that", "probability": 0.65966796875}, {"start": 2009.74, "end": 2010.04, "word": " is", "probability": 0.9345703125}, {"start": 2010.04, "end": 2010.44, "word": " يعني", "probability": 0.9091796875}, {"start": 2010.44, "end": 2012.14, "word": " a", "probability": 0.090087890625}, {"start": 2012.14, "end": 2012.68, "word": " n", "probability": 0.46044921875}, {"start": 2012.68, "end": 2014.32, "word": " limit", "probability": 0.95263671875}, {"start": 2014.32, "end": 2015.74, "word": " لل", "probability": 0.82958984375}, {"start": 2015.74, "end": 2016.14, "word": " a", "probability": 0.8330078125}, {"start": 2016.14, "end": 2016.62, "word": " n", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 85, "seek": 204124, "start": 2017.0, "end": 2041.24, "text": "لما ال intensity of infinity يساوي نص لا يساوي zero هذا معناه ايه يا عزيزي ال series لل summation لنقص واحد to the power n لل انت كيب اتنين انت كيب زائد تلاتة مالها diverse تمام التمام السؤال السادس", "tokens": [1211, 15042, 2423, 13749, 295, 13202, 7251, 3794, 995, 45865, 8717, 9381, 20193, 7251, 3794, 995, 45865, 4018, 23758, 20449, 8315, 3224, 1975, 1829, 3224, 35186, 6225, 11622, 1829, 11622, 1829, 2423, 2638, 24976, 28811, 5296, 1863, 4587, 9381, 36764, 24401, 281, 264, 1347, 297, 24976, 16472, 2655, 9122, 1829, 3555, 1975, 2655, 1863, 9957, 16472, 2655, 9122, 1829, 3555, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 3714, 6027, 11296, 9521, 46811, 10943, 16712, 2304, 10943, 21136, 33604, 6027, 21136, 18513, 3794], "avg_logprob": -0.27089608361922113, "compression_ratio": 1.581151832460733, "no_speech_prob": 0.0, "words": [{"start": 2017.0, "end": 2017.5, "word": "لما", "probability": 0.671142578125}, {"start": 2017.5, "end": 2017.64, "word": " ال", "probability": 0.6884765625}, {"start": 2017.64, "end": 2018.06, "word": " intensity", "probability": 0.5849609375}, {"start": 2018.06, "end": 2018.36, "word": " of", "probability": 0.301025390625}, {"start": 2018.36, "end": 2018.72, "word": " infinity", "probability": 0.90576171875}, {"start": 2018.72, "end": 2019.4, "word": " يساوي", "probability": 0.88525390625}, {"start": 2019.4, "end": 2019.82, "word": " نص", "probability": 0.949462890625}, {"start": 2019.82, "end": 2020.3, "word": " لا", "probability": 0.3359375}, {"start": 2020.3, "end": 2021.26, "word": " يساوي", "probability": 0.9736328125}, {"start": 2021.26, "end": 2021.68, "word": " zero", "probability": 0.43359375}, {"start": 2021.68, "end": 2022.58, "word": " هذا", "probability": 0.57470703125}, {"start": 2022.58, "end": 2023.2, "word": " معناه", "probability": 0.9318033854166666}, {"start": 2023.2, "end": 2023.46, "word": " ايه", "probability": 0.7683919270833334}, {"start": 2023.46, "end": 2023.58, "word": " يا", "probability": 0.325927734375}, {"start": 2023.58, "end": 2023.82, "word": " عزيزي", "probability": 0.92294921875}, {"start": 2023.82, "end": 2024.32, "word": " ال", "probability": 0.297607421875}, {"start": 2024.32, "end": 2025.04, "word": " series", "probability": 0.7158203125}, {"start": 2025.04, "end": 2026.68, "word": " لل", "probability": 0.38525390625}, {"start": 2026.68, "end": 2027.66, "word": " summation", "probability": 0.64501953125}, {"start": 2027.66, "end": 2029.04, "word": " لنقص", "probability": 0.7281494140625}, {"start": 2029.04, "end": 2029.46, "word": " واحد", "probability": 0.9892578125}, {"start": 2029.46, "end": 2029.66, "word": " to", "probability": 0.9150390625}, {"start": 2029.66, "end": 2029.88, "word": " the", "probability": 0.875}, {"start": 2029.88, "end": 2030.32, "word": " power", "probability": 0.9013671875}, {"start": 2030.32, "end": 2030.82, "word": " n", "probability": 0.56396484375}, {"start": 2030.82, "end": 2031.58, "word": " لل", "probability": 0.7451171875}, {"start": 2031.58, "end": 2032.18, "word": " انت", "probability": 0.5185546875}, {"start": 2032.18, "end": 2032.66, "word": " كيب", "probability": 0.8406575520833334}, {"start": 2032.66, "end": 2033.26, "word": " اتنين", "probability": 0.97314453125}, {"start": 2033.26, "end": 2033.86, "word": " انت", "probability": 0.89013671875}, {"start": 2033.86, "end": 2034.26, "word": " كيب", "probability": 0.99560546875}, {"start": 2034.26, "end": 2034.74, "word": " زائد", "probability": 0.9285481770833334}, {"start": 2034.74, "end": 2035.2, "word": " تلاتة", "probability": 0.9417724609375}, {"start": 2035.2, "end": 2035.8, "word": " مالها", "probability": 0.80908203125}, {"start": 2035.8, "end": 2037.32, "word": " diverse", "probability": 0.1907958984375}, {"start": 2037.32, "end": 2038.48, "word": " تمام", "probability": 0.920654296875}, {"start": 2038.48, "end": 2039.24, "word": " التمام", "probability": 0.7418619791666666}, {"start": 2039.24, "end": 2040.46, "word": " السؤال", "probability": 0.9300130208333334}, {"start": 2040.46, "end": 2041.24, "word": " السادس", "probability": 0.9542643229166666}], "temperature": 1.0}, {"id": 86, "seek": 206969, "start": 2043.83, "end": 2069.69, "text": "المثال رقم ستة بيقول ال summation من n equal one to infinity لسالب واحد to the power n اتنين to the power n n factorial على n to the power n n والله n زاد واحد مش مشكلة", "tokens": [45340, 12984, 6027, 12602, 4587, 2304, 8608, 2655, 3660, 4724, 1829, 39648, 2423, 28811, 9154, 297, 2681, 472, 281, 13202, 5296, 3794, 6027, 3555, 36764, 24401, 281, 264, 1347, 297, 1975, 2655, 1863, 9957, 281, 264, 1347, 297, 297, 36916, 15844, 297, 281, 264, 1347, 297, 297, 16070, 43761, 297, 30767, 18513, 36764, 24401, 37893, 37893, 28820, 3660], "avg_logprob": -0.26204978611509677, "compression_ratio": 1.4331210191082802, "no_speech_prob": 0.0, "words": [{"start": 2043.83, "end": 2044.37, "word": "المثال", "probability": 0.8829752604166666}, {"start": 2044.37, "end": 2044.85, "word": " رقم", "probability": 0.8104654947916666}, {"start": 2044.85, "end": 2045.35, "word": " ستة", "probability": 0.7373860677083334}, {"start": 2045.35, "end": 2045.75, "word": " بيقول", "probability": 0.9443359375}, {"start": 2045.75, "end": 2045.97, "word": " ال", "probability": 0.1470947265625}, {"start": 2045.97, "end": 2046.45, "word": " summation", "probability": 0.42822265625}, {"start": 2046.45, "end": 2047.19, "word": " من", "probability": 0.9033203125}, {"start": 2047.19, "end": 2047.45, "word": " n", "probability": 0.53662109375}, {"start": 2047.45, "end": 2047.97, "word": " equal", "probability": 0.348388671875}, {"start": 2047.97, "end": 2048.43, "word": " one", "probability": 0.87646484375}, {"start": 2048.43, "end": 2048.77, "word": " to", "probability": 0.94580078125}, {"start": 2048.77, "end": 2049.79, "word": " infinity", "probability": 0.8369140625}, {"start": 2049.79, "end": 2051.29, "word": " لسالب", "probability": 0.74053955078125}, {"start": 2051.29, "end": 2051.75, "word": " واحد", "probability": 0.990966796875}, {"start": 2051.75, "end": 2052.01, "word": " to", "probability": 0.9619140625}, {"start": 2052.01, "end": 2052.25, "word": " the", "probability": 0.92138671875}, {"start": 2052.25, "end": 2052.83, "word": " power", "probability": 0.90234375}, {"start": 2052.83, "end": 2053.37, "word": " n", "probability": 0.7529296875}, {"start": 2053.37, "end": 2054.79, "word": " اتنين", "probability": 0.9278564453125}, {"start": 2054.79, "end": 2055.07, "word": " to", "probability": 0.97998046875}, {"start": 2055.07, "end": 2055.35, "word": " the", "probability": 0.9296875}, {"start": 2055.35, "end": 2055.91, "word": " power", "probability": 0.88623046875}, {"start": 2055.91, "end": 2056.53, "word": " n", "probability": 0.919921875}, {"start": 2056.53, "end": 2057.39, "word": " n", "probability": 0.35693359375}, {"start": 2057.39, "end": 2058.53, "word": " factorial", "probability": 0.6748046875}, {"start": 2058.53, "end": 2059.65, "word": " على", "probability": 0.66162109375}, {"start": 2059.65, "end": 2060.23, "word": " n", "probability": 0.92041015625}, {"start": 2060.23, "end": 2060.67, "word": " to", "probability": 0.9765625}, {"start": 2060.67, "end": 2060.93, "word": " the", "probability": 0.92724609375}, {"start": 2060.93, "end": 2061.41, "word": " power", "probability": 0.88916015625}, {"start": 2061.41, "end": 2062.07, "word": " n", "probability": 0.9619140625}, {"start": 2062.07, "end": 2067.89, "word": " n", "probability": 0.1287841796875}, {"start": 2067.89, "end": 2068.21, "word": " والله", "probability": 0.776611328125}, {"start": 2068.21, "end": 2068.37, "word": " n", "probability": 0.76123046875}, {"start": 2068.37, "end": 2068.55, "word": " زاد", "probability": 0.6197509765625}, {"start": 2068.55, "end": 2068.89, "word": " واحد", "probability": 0.984375}, {"start": 2068.89, "end": 2069.09, "word": " مش", "probability": 0.9248046875}, {"start": 2069.09, "end": 2069.69, "word": " مشكلة", "probability": 0.9763997395833334}], "temperature": 1.0}, {"id": 87, "seek": 209910, "start": 2070.46, "end": 2099.1, "text": "لأن ال alternating بدل ما تبدأ بالموجة تبدأ بالسالب وعلى كده الأمرين فهي alternating series ليس بالضرورة حتى لو كانت ناقص واحد بتمشي معانا كمان اه طب من دقيقة alternating كده كيف تصير؟", "tokens": [1211, 33456, 2423, 40062, 47525, 1211, 19446, 6055, 44510, 10721, 20666, 2304, 29245, 3660, 6055, 44510, 10721, 20666, 3794, 6027, 3555, 4032, 3615, 23942, 9122, 3215, 3224, 16247, 29973, 9957, 6156, 3224, 1829, 40062, 2638, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 11331, 49975, 45164, 25961, 2655, 8717, 995, 4587, 9381, 36764, 24401, 39894, 2304, 8592, 1829, 20449, 7649, 995, 9122, 2304, 7649, 1975, 3224, 23032, 3555, 9154, 11778, 38436, 28671, 40062, 9122, 3215, 3224, 9122, 33911, 6055, 9381, 13546, 22807], "avg_logprob": -0.291349082821753, "compression_ratio": 1.6141304347826086, "no_speech_prob": 0.0, "words": [{"start": 2070.46, "end": 2070.88, "word": "لأن", "probability": 0.6556396484375}, {"start": 2070.88, "end": 2071.0, "word": " ال", "probability": 0.82958984375}, {"start": 2071.0, "end": 2071.5, "word": " alternating", "probability": 0.6533203125}, {"start": 2071.5, "end": 2072.14, "word": " بدل", "probability": 0.78076171875}, {"start": 2072.14, "end": 2072.24, "word": " ما", "probability": 0.4169921875}, {"start": 2072.24, "end": 2072.62, "word": " تبدأ", "probability": 0.9733072916666666}, {"start": 2072.62, "end": 2073.12, "word": " بالموجة", "probability": 0.8048095703125}, {"start": 2073.12, "end": 2073.58, "word": " تبدأ", "probability": 0.8391927083333334}, {"start": 2073.58, "end": 2074.22, "word": " بالسالب", "probability": 0.8800048828125}, {"start": 2074.22, "end": 2074.54, "word": " وعلى", "probability": 0.7251790364583334}, {"start": 2074.54, "end": 2074.94, "word": " كده", "probability": 0.697265625}, {"start": 2074.94, "end": 2075.9, "word": " الأمرين", "probability": 0.9523111979166666}, {"start": 2075.9, "end": 2076.84, "word": " فهي", "probability": 0.9557291666666666}, {"start": 2076.84, "end": 2077.58, "word": " alternating", "probability": 0.958984375}, {"start": 2077.58, "end": 2079.32, "word": " series", "probability": 0.8994140625}, {"start": 2079.32, "end": 2086.68, "word": " ليس", "probability": 0.749755859375}, {"start": 2086.68, "end": 2087.9, "word": " بالضرورة", "probability": 0.946875}, {"start": 2087.9, "end": 2089.84, "word": " حتى", "probability": 0.862060546875}, {"start": 2089.84, "end": 2090.12, "word": " لو", "probability": 0.98046875}, {"start": 2090.12, "end": 2090.8, "word": " كانت", "probability": 0.91748046875}, {"start": 2090.8, "end": 2091.6, "word": " ناقص", "probability": 0.741485595703125}, {"start": 2091.6, "end": 2091.94, "word": " واحد", "probability": 0.988525390625}, {"start": 2091.94, "end": 2092.46, "word": " بتمشي", "probability": 0.7919921875}, {"start": 2092.46, "end": 2092.92, "word": " معانا", "probability": 0.8533528645833334}, {"start": 2092.92, "end": 2094.48, "word": " كمان", "probability": 0.8221028645833334}, {"start": 2094.48, "end": 2096.7, "word": " اه", "probability": 0.6317138671875}, {"start": 2096.7, "end": 2096.92, "word": " طب", "probability": 0.955078125}, {"start": 2096.92, "end": 2097.1, "word": " من", "probability": 0.1865234375}, {"start": 2097.1, "end": 2097.44, "word": " دقيقة", "probability": 0.62127685546875}, {"start": 2097.44, "end": 2097.98, "word": " alternating", "probability": 0.8837890625}, {"start": 2097.98, "end": 2098.44, "word": " كده", "probability": 0.753173828125}, {"start": 2098.44, "end": 2098.68, "word": " كيف", "probability": 0.950439453125}, {"start": 2098.68, "end": 2099.1, "word": " تصير؟", "probability": 0.6700439453125}], "temperature": 1.0}, {"id": 88, "seek": 212703, "start": 2100.43, "end": 2127.03, "text": "سالب اتنين بحط سالب واحد اص في اتنين اص كذا وانا ان شاء الله اكون سالب مية مش مشكلة طب عندي مثلة بالشكل ان هذا يبقى بدي اخد ال series of absolute values solution باخد the series of absolute", "tokens": [3794, 6027, 3555, 1975, 2655, 1863, 9957, 4724, 5016, 9566, 8608, 6027, 3555, 36764, 24401, 1975, 9381, 8978, 1975, 2655, 1863, 9957, 1975, 9381, 9122, 15730, 4032, 7649, 995, 16472, 13412, 16606, 21984, 1975, 30544, 8608, 6027, 3555, 3714, 10632, 37893, 37893, 28820, 3660, 23032, 3555, 18871, 16254, 50113, 37977, 20666, 8592, 28820, 16472, 23758, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 9778, 3215, 2423, 2638, 295, 8236, 4190, 3827, 4724, 47283, 3215, 264, 2638, 295, 8236], "avg_logprob": -0.28104968254382795, "compression_ratio": 1.6724137931034482, "no_speech_prob": 0.0, "words": [{"start": 2100.43, "end": 2100.91, "word": "سالب", "probability": 0.415283203125}, {"start": 2100.91, "end": 2101.17, "word": " اتنين", "probability": 0.73028564453125}, {"start": 2101.17, "end": 2101.55, "word": " بحط", "probability": 0.4612630208333333}, {"start": 2101.55, "end": 2101.99, "word": " سالب", "probability": 0.9158528645833334}, {"start": 2101.99, "end": 2102.45, "word": " واحد", "probability": 0.97998046875}, {"start": 2102.45, "end": 2102.79, "word": " اص", "probability": 0.662353515625}, {"start": 2102.79, "end": 2103.01, "word": " في", "probability": 0.3388671875}, {"start": 2103.01, "end": 2103.35, "word": " اتنين", "probability": 0.9698486328125}, {"start": 2103.35, "end": 2103.69, "word": " اص", "probability": 0.93505859375}, {"start": 2103.69, "end": 2104.11, "word": " كذا", "probability": 0.69384765625}, {"start": 2104.11, "end": 2105.63, "word": " وانا", "probability": 0.5645345052083334}, {"start": 2105.63, "end": 2105.79, "word": " ان", "probability": 0.7724609375}, {"start": 2105.79, "end": 2105.93, "word": " شاء", "probability": 0.92578125}, {"start": 2105.93, "end": 2105.99, "word": " الله", "probability": 0.9423828125}, {"start": 2105.99, "end": 2106.25, "word": " اكون", "probability": 0.707763671875}, {"start": 2106.25, "end": 2106.61, "word": " سالب", "probability": 0.9733072916666666}, {"start": 2106.61, "end": 2106.87, "word": " مية", "probability": 0.955322265625}, {"start": 2106.87, "end": 2107.03, "word": " مش", "probability": 0.8740234375}, {"start": 2107.03, "end": 2107.57, "word": " مشكلة", "probability": 0.9423828125}, {"start": 2107.57, "end": 2108.63, "word": " طب", "probability": 0.5614013671875}, {"start": 2108.63, "end": 2108.99, "word": " عندي", "probability": 0.85205078125}, {"start": 2108.99, "end": 2109.39, "word": " مثلة", "probability": 0.693359375}, {"start": 2109.39, "end": 2109.89, "word": " بالشكل", "probability": 0.93603515625}, {"start": 2109.89, "end": 2110.19, "word": " ان", "probability": 0.78369140625}, {"start": 2110.19, "end": 2110.51, "word": " هذا", "probability": 0.8642578125}, {"start": 2110.51, "end": 2110.75, "word": " يبقى", "probability": 0.908447265625}, {"start": 2110.75, "end": 2111.11, "word": " بدي", "probability": 0.6705322265625}, {"start": 2111.11, "end": 2111.81, "word": " اخد", "probability": 0.7958984375}, {"start": 2111.81, "end": 2112.25, "word": " ال", "probability": 0.63623046875}, {"start": 2112.25, "end": 2112.67, "word": " series", "probability": 0.904296875}, {"start": 2112.67, "end": 2113.27, "word": " of", "probability": 0.9775390625}, {"start": 2113.27, "end": 2114.15, "word": " absolute", "probability": 0.93408203125}, {"start": 2114.15, "end": 2114.93, "word": " values", "probability": 0.6435546875}, {"start": 2114.93, "end": 2117.23, "word": " solution", "probability": 0.9189453125}, {"start": 2117.23, "end": 2122.13, "word": " باخد", "probability": 0.96630859375}, {"start": 2122.13, "end": 2122.39, "word": " the", "probability": 0.5107421875}, {"start": 2122.39, "end": 2123.23, "word": " series", "probability": 0.91455078125}, {"start": 2123.23, "end": 2125.11, "word": " of", "probability": 0.978515625}, {"start": 2125.11, "end": 2127.03, "word": " absolute", "probability": 0.94091796875}], "temperature": 1.0}, {"id": 89, "seek": 215109, "start": 2128.49, "end": 2151.09, "text": "values is summation من n equal one to infinity للإتنين أُس n n factorial into the power n مين أفضل اختبار لهذه الشغله ال ratio of gain limit لما ال n tends to infinity", "tokens": [46033, 307, 28811, 9154, 297, 2681, 472, 281, 13202, 24976, 28814, 2655, 1863, 9957, 5551, 10859, 3794, 297, 297, 36916, 666, 264, 1347, 297, 3714, 9957, 5551, 5172, 11242, 1211, 1975, 46456, 3555, 9640, 46740, 24192, 25124, 17082, 1211, 3224, 2423, 8509, 295, 6052, 4948, 5296, 15042, 2423, 297, 12258, 281, 13202], "avg_logprob": -0.33785377583413756, "compression_ratio": 1.2901234567901234, "no_speech_prob": 0.0, "words": [{"start": 2128.4900000000002, "end": 2129.57, "word": "values", "probability": 0.30810546875}, {"start": 2129.57, "end": 2130.65, "word": " is", "probability": 0.422119140625}, {"start": 2130.65, "end": 2132.59, "word": " summation", "probability": 0.7880859375}, {"start": 2132.59, "end": 2133.41, "word": " من", "probability": 0.42041015625}, {"start": 2133.41, "end": 2133.81, "word": " n", "probability": 0.59765625}, {"start": 2133.81, "end": 2134.37, "word": " equal", "probability": 0.2138671875}, {"start": 2134.37, "end": 2134.81, "word": " one", "probability": 0.8095703125}, {"start": 2134.81, "end": 2135.15, "word": " to", "probability": 0.9208984375}, {"start": 2135.15, "end": 2136.13, "word": " infinity", "probability": 0.84375}, {"start": 2136.13, "end": 2137.87, "word": " للإتنين", "probability": 0.74091796875}, {"start": 2137.87, "end": 2138.39, "word": " أُس", "probability": 0.6510416666666666}, {"start": 2138.39, "end": 2138.81, "word": " n", "probability": 0.70947265625}, {"start": 2138.81, "end": 2139.39, "word": " n", "probability": 0.306396484375}, {"start": 2139.39, "end": 2140.27, "word": " factorial", "probability": 0.5888671875}, {"start": 2140.27, "end": 2141.09, "word": " into", "probability": 0.607421875}, {"start": 2141.09, "end": 2141.43, "word": " the", "probability": 0.81396484375}, {"start": 2141.43, "end": 2142.03, "word": " power", "probability": 0.890625}, {"start": 2142.03, "end": 2142.61, "word": " n", "probability": 0.8310546875}, {"start": 2142.61, "end": 2143.73, "word": " مين", "probability": 0.576171875}, {"start": 2143.73, "end": 2144.07, "word": " أفضل", "probability": 0.953369140625}, {"start": 2144.07, "end": 2144.53, "word": " اختبار", "probability": 0.95556640625}, {"start": 2144.53, "end": 2144.77, "word": " لهذه", "probability": 0.516845703125}, {"start": 2144.77, "end": 2145.47, "word": " الشغله", "probability": 0.7857666015625}, {"start": 2145.47, "end": 2146.65, "word": " ال", "probability": 0.50341796875}, {"start": 2146.65, "end": 2147.15, "word": " ratio", "probability": 0.923828125}, {"start": 2147.15, "end": 2147.55, "word": " of", "probability": 0.94970703125}, {"start": 2147.55, "end": 2148.07, "word": " gain", "probability": 0.92626953125}, {"start": 2148.07, "end": 2149.01, "word": " limit", "probability": 0.857421875}, {"start": 2149.01, "end": 2149.47, "word": " لما", "probability": 0.861572265625}, {"start": 2149.47, "end": 2149.67, "word": " ال", "probability": 0.91845703125}, {"start": 2149.67, "end": 2150.01, "word": " n", "probability": 0.734375}, {"start": 2150.01, "end": 2150.29, "word": " tends", "probability": 0.58203125}, {"start": 2150.29, "end": 2150.51, "word": " to", "probability": 0.8837890625}, {"start": 2150.51, "end": 2151.09, "word": " infinity", "probability": 0.8662109375}], "temperature": 1.0}, {"id": 90, "seek": 217580, "start": 2151.56, "end": 2175.8, "text": "للحد النوني زائد واحد يبقى اتنين أس N زائد واحد في N زائد واحد factorial على N زائد واحد مرفوع للأس N زائد واحد تقسيم اتنين أس N في ال N factorial على N to the power N", "tokens": [1211, 1211, 24401, 28239, 11536, 1829, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 5551, 3794, 426, 30767, 16373, 3215, 36764, 24401, 8978, 426, 30767, 16373, 3215, 36764, 24401, 36916, 15844, 426, 30767, 16373, 3215, 36764, 24401, 3714, 28480, 45367, 24976, 10721, 3794, 426, 30767, 16373, 3215, 36764, 24401, 6055, 4587, 3794, 32640, 1975, 2655, 1863, 9957, 5551, 3794, 426, 8978, 2423, 426, 36916, 15844, 426, 281, 264, 1347, 426], "avg_logprob": -0.17588404742510697, "compression_ratio": 1.905109489051095, "no_speech_prob": 0.0, "words": [{"start": 2151.56, "end": 2152.38, "word": "للحد", "probability": 0.8707682291666666}, {"start": 2152.38, "end": 2153.14, "word": " النوني", "probability": 0.643310546875}, {"start": 2153.14, "end": 2153.78, "word": " زائد", "probability": 0.671630859375}, {"start": 2153.78, "end": 2154.4, "word": " واحد", "probability": 0.9775390625}, {"start": 2154.4, "end": 2155.4, "word": " يبقى", "probability": 0.9456787109375}, {"start": 2155.4, "end": 2155.92, "word": " اتنين", "probability": 0.771484375}, {"start": 2155.92, "end": 2156.46, "word": " أس", "probability": 0.5050048828125}, {"start": 2156.46, "end": 2156.8, "word": " N", "probability": 0.21826171875}, {"start": 2156.8, "end": 2157.44, "word": " زائد", "probability": 0.9132486979166666}, {"start": 2157.44, "end": 2158.04, "word": " واحد", "probability": 0.98486328125}, {"start": 2158.04, "end": 2158.66, "word": " في", "probability": 0.6728515625}, {"start": 2158.66, "end": 2158.98, "word": " N", "probability": 0.87353515625}, {"start": 2158.98, "end": 2159.6, "word": " زائد", "probability": 0.96044921875}, {"start": 2159.6, "end": 2160.16, "word": " واحد", "probability": 0.9873046875}, {"start": 2160.16, "end": 2161.12, "word": " factorial", "probability": 0.478271484375}, {"start": 2161.12, "end": 2162.66, "word": " على", "probability": 0.60302734375}, {"start": 2162.66, "end": 2163.26, "word": " N", "probability": 0.94580078125}, {"start": 2163.26, "end": 2164.52, "word": " زائد", "probability": 0.9742838541666666}, {"start": 2164.52, "end": 2165.18, "word": " واحد", "probability": 0.99365234375}, {"start": 2165.18, "end": 2166.26, "word": " مرفوع", "probability": 0.8040364583333334}, {"start": 2166.26, "end": 2167.06, "word": " للأس", "probability": 0.8756510416666666}, {"start": 2167.06, "end": 2167.48, "word": " N", "probability": 0.931640625}, {"start": 2167.48, "end": 2168.08, "word": " زائد", "probability": 0.9679361979166666}, {"start": 2168.08, "end": 2168.64, "word": " واحد", "probability": 0.9931640625}, {"start": 2168.64, "end": 2169.72, "word": " تقسيم", "probability": 0.9658203125}, {"start": 2169.72, "end": 2170.34, "word": " اتنين", "probability": 0.9493408203125}, {"start": 2170.34, "end": 2170.88, "word": " أس", "probability": 0.98291015625}, {"start": 2170.88, "end": 2171.28, "word": " N", "probability": 0.9501953125}, {"start": 2171.28, "end": 2171.86, "word": " في", "probability": 0.83154296875}, {"start": 2171.86, "end": 2172.08, "word": " ال", "probability": 0.66162109375}, {"start": 2172.08, "end": 2172.36, "word": " N", "probability": 0.89404296875}, {"start": 2172.36, "end": 2173.18, "word": " factorial", "probability": 0.830078125}, {"start": 2173.18, "end": 2173.68, "word": " على", "probability": 0.78125}, {"start": 2173.68, "end": 2174.26, "word": " N", "probability": 0.8720703125}, {"start": 2174.26, "end": 2174.44, "word": " to", "probability": 0.93310546875}, {"start": 2174.44, "end": 2174.8, "word": " the", "probability": 0.92333984375}, {"start": 2174.8, "end": 2175.32, "word": " power", "probability": 0.88623046875}, {"start": 2175.32, "end": 2175.8, "word": " N", "probability": 0.9296875}], "temperature": 1.0}, {"id": 91, "seek": 218276, "start": 2176.76, "end": 2182.76, "text": "طيب هذا الكلام بده يساوي limit لما ال int tends to infinity", "tokens": [9566, 1829, 3555, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 4948, 5296, 15042, 2423, 560, 12258, 281, 13202], "avg_logprob": -0.37109375677325507, "compression_ratio": 1.024390243902439, "no_speech_prob": 0.0, "words": [{"start": 2176.76, "end": 2177.26, "word": "طيب", "probability": 0.6974690755208334}, {"start": 2177.26, "end": 2177.7, "word": " هذا", "probability": 0.69970703125}, {"start": 2177.7, "end": 2178.26, "word": " الكلام", "probability": 0.9348958333333334}, {"start": 2178.26, "end": 2178.68, "word": " بده", "probability": 0.439453125}, {"start": 2178.68, "end": 2179.32, "word": " يساوي", "probability": 0.9683837890625}, {"start": 2179.32, "end": 2180.5, "word": " limit", "probability": 0.77587890625}, {"start": 2180.5, "end": 2181.2, "word": " لما", "probability": 0.917236328125}, {"start": 2181.2, "end": 2181.34, "word": " ال", "probability": 0.93798828125}, {"start": 2181.34, "end": 2181.72, "word": " int", "probability": 0.08349609375}, {"start": 2181.72, "end": 2182.04, "word": " tends", "probability": 0.6240234375}, {"start": 2182.04, "end": 2182.28, "word": " to", "probability": 0.89990234375}, {"start": 2182.28, "end": 2182.76, "word": " infinity", "probability": 0.86865234375}], "temperature": 1.0}, {"id": 92, "seek": 221006, "start": 2183.24, "end": 2210.06, "text": "بدا فاك هاد اتنين فى اتنين اث ان هاد ان زائد واحد فى الان فاكتوريال مقسومة على ان زائد واحد فالان زائد واحد to the power ان الجسم هحولها الى ضرب بصير ان اث ان على الاتنين اث ان فى ان فاكتوريال نبدأ نختصر", "tokens": [3555, 28259, 6156, 995, 4117, 8032, 18513, 1975, 2655, 1863, 9957, 6156, 7578, 1975, 2655, 1863, 9957, 1975, 12984, 16472, 8032, 18513, 16472, 30767, 16373, 3215, 36764, 24401, 6156, 7578, 2423, 7649, 6156, 995, 4117, 2655, 13063, 1829, 6027, 3714, 4587, 3794, 20498, 3660, 15844, 16472, 30767, 16373, 3215, 36764, 24401, 6156, 6027, 7649, 30767, 16373, 3215, 36764, 24401, 281, 264, 1347, 16472, 25724, 38251, 8032, 5016, 12610, 11296, 2423, 7578, 48812, 25513, 4724, 9381, 13546, 16472, 1975, 12984, 16472, 15844, 2423, 9307, 1863, 9957, 1975, 12984, 16472, 6156, 7578, 16472, 6156, 995, 4117, 2655, 13063, 1829, 6027, 8717, 44510, 10721, 8717, 46456, 9381, 2288], "avg_logprob": -0.22759433343725385, "compression_ratio": 2.0764705882352943, "no_speech_prob": 0.0, "words": [{"start": 2183.24, "end": 2183.66, "word": "بدا", "probability": 0.3980712890625}, {"start": 2183.66, "end": 2184.04, "word": " فاك", "probability": 0.6818033854166666}, {"start": 2184.04, "end": 2184.42, "word": " هاد", "probability": 0.31781005859375}, {"start": 2184.42, "end": 2185.28, "word": " اتنين", "probability": 0.8302001953125}, {"start": 2185.28, "end": 2185.66, "word": " فى", "probability": 0.46533203125}, {"start": 2185.66, "end": 2186.16, "word": " اتنين", "probability": 0.97216796875}, {"start": 2186.16, "end": 2186.64, "word": " اث", "probability": 0.466552734375}, {"start": 2186.64, "end": 2187.08, "word": " ان", "probability": 0.80810546875}, {"start": 2187.08, "end": 2188.06, "word": " هاد", "probability": 0.8349609375}, {"start": 2188.06, "end": 2188.42, "word": " ان", "probability": 0.359130859375}, {"start": 2188.42, "end": 2189.02, "word": " زائد", "probability": 0.7789713541666666}, {"start": 2189.02, "end": 2189.66, "word": " واحد", "probability": 0.9873046875}, {"start": 2189.66, "end": 2189.96, "word": " فى", "probability": 0.965087890625}, {"start": 2189.96, "end": 2190.44, "word": " الان", "probability": 0.6201171875}, {"start": 2190.44, "end": 2191.58, "word": " فاكتوريال", "probability": 0.8182198660714286}, {"start": 2191.58, "end": 2193.06, "word": " مقسومة", "probability": 0.86240234375}, {"start": 2193.06, "end": 2193.32, "word": " على", "probability": 0.783203125}, {"start": 2193.32, "end": 2193.76, "word": " ان", "probability": 0.8291015625}, {"start": 2193.76, "end": 2194.48, "word": " زائد", "probability": 0.9567057291666666}, {"start": 2194.48, "end": 2195.22, "word": " واحد", "probability": 0.98828125}, {"start": 2195.22, "end": 2196.22, "word": " فالان", "probability": 0.6922200520833334}, {"start": 2196.22, "end": 2196.76, "word": " زائد", "probability": 0.9222005208333334}, {"start": 2196.76, "end": 2197.16, "word": " واحد", "probability": 0.986328125}, {"start": 2197.16, "end": 2197.38, "word": " to", "probability": 0.85888671875}, {"start": 2197.38, "end": 2197.58, "word": " the", "probability": 0.90087890625}, {"start": 2197.58, "end": 2198.06, "word": " power", "probability": 0.90576171875}, {"start": 2198.06, "end": 2198.52, "word": " ان", "probability": 0.302001953125}, {"start": 2198.52, "end": 2199.46, "word": " الجسم", "probability": 0.947265625}, {"start": 2199.46, "end": 2200.36, "word": " هحولها", "probability": 0.8948974609375}, {"start": 2200.36, "end": 2201.02, "word": " الى", "probability": 0.79443359375}, {"start": 2201.02, "end": 2201.54, "word": " ضرب", "probability": 0.992431640625}, {"start": 2201.54, "end": 2202.56, "word": " بصير", "probability": 0.97314453125}, {"start": 2202.56, "end": 2203.06, "word": " ان", "probability": 0.71728515625}, {"start": 2203.06, "end": 2203.58, "word": " اث", "probability": 0.873291015625}, {"start": 2203.58, "end": 2204.06, "word": " ان", "probability": 0.97119140625}, {"start": 2204.06, "end": 2204.78, "word": " على", "probability": 0.4921875}, {"start": 2204.78, "end": 2205.56, "word": " الاتنين", "probability": 0.908447265625}, {"start": 2205.56, "end": 2206.04, "word": " اث", "probability": 0.92333984375}, {"start": 2206.04, "end": 2206.42, "word": " ان", "probability": 0.9599609375}, {"start": 2206.42, "end": 2206.78, "word": " فى", "probability": 0.978271484375}, {"start": 2206.78, "end": 2207.08, "word": " ان", "probability": 0.64501953125}, {"start": 2207.08, "end": 2208.02, "word": " فاكتوريال", "probability": 0.9669363839285714}, {"start": 2208.02, "end": 2209.36, "word": " نبدأ", "probability": 0.8977864583333334}, {"start": 2209.36, "end": 2210.06, "word": " نختصر", "probability": 0.957763671875}], "temperature": 1.0}, {"id": 93, "seek": 223996, "start": 2210.34, "end": 2239.96, "text": "ن فاكتوريال مع ن فاكتوريال اتنين قص ان مع اتنين قص ان ان زائد واحد مع ان زائد واحد يبقى يا اتنين خليك برا ال limit و اي limit لما الان بده تروح للان شو بيبقى اللي عندي ان قص ان و ان زائد واحد قص ان يعني ان على ان زائد واحد كله to the power n كم مرة سويناها هذه", "tokens": [1863, 6156, 995, 4117, 2655, 13063, 1829, 6027, 20449, 8717, 6156, 995, 4117, 2655, 13063, 1829, 6027, 1975, 2655, 1863, 9957, 12174, 9381, 16472, 20449, 1975, 2655, 1863, 9957, 12174, 9381, 16472, 16472, 30767, 16373, 3215, 36764, 24401, 20449, 16472, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 35186, 1975, 2655, 1863, 9957, 16490, 20292, 4117, 4724, 23557, 2423, 4948, 4032, 1975, 1829, 4948, 5296, 15042, 2423, 7649, 47525, 3224, 6055, 32887, 5016, 24976, 7649, 13412, 2407, 4724, 1829, 3555, 4587, 7578, 13672, 1829, 18871, 16254, 16472, 12174, 9381, 16472, 4032, 16472, 30767, 16373, 3215, 36764, 24401, 12174, 9381, 16472, 37495, 22653, 16472, 15844, 16472, 30767, 16373, 3215, 36764, 24401, 28242, 3224, 281, 264, 1347, 297, 9122, 2304, 3714, 25720, 8608, 45865, 8315, 11296, 29538], "avg_logprob": -0.24655512374217117, "compression_ratio": 2.201005025125628, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2210.34, "end": 2210.84, "word": "ن", "probability": 0.23291015625}, {"start": 2210.84, "end": 2211.7, "word": " فاكتوريال", "probability": 0.7898646763392857}, {"start": 2211.7, "end": 2211.92, "word": " مع", "probability": 0.81787109375}, {"start": 2211.92, "end": 2212.24, "word": " ن", "probability": 0.591796875}, {"start": 2212.24, "end": 2213.02, "word": " فاكتوريال", "probability": 0.9364536830357143}, {"start": 2213.02, "end": 2213.72, "word": " اتنين", "probability": 0.7130126953125}, {"start": 2213.72, "end": 2214.08, "word": " قص", "probability": 0.55645751953125}, {"start": 2214.08, "end": 2214.4, "word": " ان", "probability": 0.73291015625}, {"start": 2214.4, "end": 2214.66, "word": " مع", "probability": 0.9423828125}, {"start": 2214.66, "end": 2215.12, "word": " اتنين", "probability": 0.977294921875}, {"start": 2215.12, "end": 2215.52, "word": " قص", "probability": 0.978515625}, {"start": 2215.52, "end": 2215.84, "word": " ان", "probability": 0.80322265625}, {"start": 2215.84, "end": 2216.26, "word": " ان", "probability": 0.626953125}, {"start": 2216.26, "end": 2216.74, "word": " زائد", "probability": 0.8025716145833334}, {"start": 2216.74, "end": 2217.12, "word": " واحد", "probability": 0.988525390625}, {"start": 2217.12, "end": 2217.42, "word": " مع", "probability": 0.97900390625}, {"start": 2217.42, "end": 2217.98, "word": " ان", "probability": 0.8564453125}, {"start": 2217.98, "end": 2219.48, "word": " زائد", "probability": 0.9713541666666666}, {"start": 2219.48, "end": 2220.02, "word": " واحد", "probability": 0.991455078125}, {"start": 2220.02, "end": 2220.52, "word": " يبقى", "probability": 0.8662109375}, {"start": 2220.52, "end": 2220.78, "word": " يا", "probability": 0.475341796875}, {"start": 2220.78, "end": 2221.22, "word": " اتنين", "probability": 0.9521484375}, {"start": 2221.22, "end": 2221.86, "word": " خليك", "probability": 0.8528645833333334}, {"start": 2221.86, "end": 2222.3, "word": " برا", "probability": 0.859375}, {"start": 2222.3, "end": 2222.52, "word": " ال", "probability": 0.849609375}, {"start": 2222.52, "end": 2222.92, "word": " limit", "probability": 0.94287109375}, {"start": 2222.92, "end": 2223.56, "word": " و", "probability": 0.69775390625}, {"start": 2223.56, "end": 2223.8, "word": " اي", "probability": 0.75146484375}, {"start": 2223.8, "end": 2224.2, "word": " limit", "probability": 0.9755859375}, {"start": 2224.2, "end": 2224.54, "word": " لما", "probability": 0.85693359375}, {"start": 2224.54, "end": 2224.88, "word": " الان", "probability": 0.679931640625}, {"start": 2224.88, "end": 2225.16, "word": " بده", "probability": 0.688720703125}, {"start": 2225.16, "end": 2225.64, "word": " تروح", "probability": 0.97705078125}, {"start": 2225.64, "end": 2226.06, "word": " للان", "probability": 0.6220703125}, {"start": 2226.06, "end": 2226.5, "word": " شو", "probability": 0.54205322265625}, {"start": 2226.5, "end": 2226.72, "word": " بيبقى", "probability": 0.73876953125}, {"start": 2226.72, "end": 2226.84, "word": " اللي", "probability": 0.928466796875}, {"start": 2226.84, "end": 2227.2, "word": " عندي", "probability": 0.60406494140625}, {"start": 2227.2, "end": 2228.46, "word": " ان", "probability": 0.78662109375}, {"start": 2228.46, "end": 2228.92, "word": " قص", "probability": 0.70166015625}, {"start": 2228.92, "end": 2229.3, "word": " ان", "probability": 0.95166015625}, {"start": 2229.3, "end": 2229.68, "word": " و", "probability": 0.8818359375}, {"start": 2229.68, "end": 2229.92, "word": " ان", "probability": 0.53125}, {"start": 2229.92, "end": 2230.38, "word": " زائد", "probability": 0.9749348958333334}, {"start": 2230.38, "end": 2230.88, "word": " واحد", "probability": 0.99267578125}, {"start": 2230.88, "end": 2231.3, "word": " قص", "probability": 0.97021484375}, {"start": 2231.3, "end": 2231.64, "word": " ان", "probability": 0.93408203125}, {"start": 2231.64, "end": 2232.96, "word": " يعني", "probability": 0.9384765625}, {"start": 2232.96, "end": 2233.72, "word": " ان", "probability": 0.8828125}, {"start": 2233.72, "end": 2234.18, "word": " على", "probability": 0.58935546875}, {"start": 2234.18, "end": 2234.7, "word": " ان", "probability": 0.87451171875}, {"start": 2234.7, "end": 2235.34, "word": " زائد", "probability": 0.9837239583333334}, {"start": 2235.34, "end": 2235.88, "word": " واحد", "probability": 0.99462890625}, {"start": 2235.88, "end": 2236.52, "word": " كله", "probability": 0.965576171875}, {"start": 2236.52, "end": 2236.74, "word": " to", "probability": 0.90673828125}, {"start": 2236.74, "end": 2237.0, "word": " the", "probability": 0.9189453125}, {"start": 2237.0, "end": 2237.54, "word": " power", "probability": 0.91455078125}, {"start": 2237.54, "end": 2238.38, "word": " n", "probability": 0.307861328125}, {"start": 2238.38, "end": 2238.8, "word": " كم", "probability": 0.7783203125}, {"start": 2238.8, "end": 2239.02, "word": " مرة", "probability": 0.9814453125}, {"start": 2239.02, "end": 2239.64, "word": " سويناها", "probability": 0.7088623046875}, {"start": 2239.64, "end": 2239.96, "word": " هذه", "probability": 0.451904296875}], "temperature": 1.0}, {"id": 94, "seek": 226861, "start": 2242.01, "end": 2268.61, "text": "كتير يبقى الجواب كده؟ واحد على ايه؟ يبقى الجواب اتنين على ايه؟ اكبر من الواحد الصحيح ولا اقل؟ اقل من الواحد الصحيح يبقى هذه اقل من الواحد الصحيح مدام اقل من الواحد الصحيح بروح بقوله by the ratio test the series", "tokens": [4117, 2655, 13546, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 9122, 3215, 3224, 22807, 36764, 24401, 15844, 1975, 1829, 3224, 22807, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 1975, 2655, 1863, 9957, 15844, 1975, 1829, 3224, 22807, 1975, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 49429, 1975, 4587, 1211, 22807, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 29538, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 3714, 3215, 10943, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 4724, 32887, 5016, 4724, 39648, 3224, 538, 264, 8509, 1500, 264, 2638], "avg_logprob": -0.12748248164898882, "compression_ratio": 2.259493670886076, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2242.01, "end": 2242.73, "word": "كتير", "probability": 0.6283365885416666}, {"start": 2242.73, "end": 2243.29, "word": " يبقى", "probability": 0.884765625}, {"start": 2243.29, "end": 2243.65, "word": " الجواب", "probability": 0.9357096354166666}, {"start": 2243.65, "end": 2244.43, "word": " كده؟", "probability": 0.80438232421875}, {"start": 2244.43, "end": 2245.19, "word": " واحد", "probability": 0.95166015625}, {"start": 2245.19, "end": 2245.77, "word": " على", "probability": 0.60107421875}, {"start": 2245.77, "end": 2246.77, "word": " ايه؟", "probability": 0.8209228515625}, {"start": 2246.77, "end": 2247.31, "word": " يبقى", "probability": 0.960693359375}, {"start": 2247.31, "end": 2248.11, "word": " الجواب", "probability": 0.8525390625}, {"start": 2248.11, "end": 2249.37, "word": " اتنين", "probability": 0.9761962890625}, {"start": 2249.37, "end": 2249.87, "word": " على", "probability": 0.8681640625}, {"start": 2249.87, "end": 2250.59, "word": " ايه؟", "probability": 0.9423828125}, {"start": 2250.59, "end": 2251.07, "word": " اكبر", "probability": 0.94384765625}, {"start": 2251.07, "end": 2251.19, "word": " من", "probability": 0.9921875}, {"start": 2251.19, "end": 2251.45, "word": " الواحد", "probability": 0.9710286458333334}, {"start": 2251.45, "end": 2251.79, "word": " الصحيح", "probability": 0.9898681640625}, {"start": 2251.79, "end": 2252.03, "word": " ولا", "probability": 0.66796875}, {"start": 2252.03, "end": 2253.29, "word": " اقل؟", "probability": 0.8790283203125}, {"start": 2253.29, "end": 2254.67, "word": " اقل", "probability": 0.978515625}, {"start": 2254.67, "end": 2254.81, "word": " من", "probability": 0.607421875}, {"start": 2254.81, "end": 2255.45, "word": " الواحد", "probability": 0.9944661458333334}, {"start": 2255.45, "end": 2256.11, "word": " الصحيح", "probability": 0.993408203125}, {"start": 2256.11, "end": 2256.47, "word": " يبقى", "probability": 0.9149169921875}, {"start": 2256.47, "end": 2256.87, "word": " هذه", "probability": 0.405517578125}, {"start": 2256.87, "end": 2257.63, "word": " اقل", "probability": 0.9781901041666666}, {"start": 2257.63, "end": 2257.83, "word": " من", "probability": 0.99609375}, {"start": 2257.83, "end": 2258.33, "word": " الواحد", "probability": 0.9967447916666666}, {"start": 2258.33, "end": 2258.87, "word": " الصحيح", "probability": 0.994873046875}, {"start": 2258.87, "end": 2259.77, "word": " مدام", "probability": 0.7537434895833334}, {"start": 2259.77, "end": 2260.27, "word": " اقل", "probability": 0.96875}, {"start": 2260.27, "end": 2260.39, "word": " من", "probability": 0.99560546875}, {"start": 2260.39, "end": 2260.87, "word": " الواحد", "probability": 0.9944661458333334}, {"start": 2260.87, "end": 2261.53, "word": " الصحيح", "probability": 0.9932861328125}, {"start": 2261.53, "end": 2262.07, "word": " بروح", "probability": 0.966796875}, {"start": 2262.07, "end": 2262.87, "word": " بقوله", "probability": 0.93701171875}, {"start": 2262.87, "end": 2263.45, "word": " by", "probability": 0.3291015625}, {"start": 2263.45, "end": 2264.29, "word": " the", "probability": 0.77587890625}, {"start": 2264.29, "end": 2265.41, "word": " ratio", "probability": 0.9619140625}, {"start": 2265.41, "end": 2266.65, "word": " test", "probability": 0.93017578125}, {"start": 2266.65, "end": 2268.07, "word": " the", "probability": 0.7587890625}, {"start": 2268.07, "end": 2268.61, "word": " series", "probability": 0.8662109375}], "temperature": 1.0}, {"id": 95, "seek": 229625, "start": 2270.39, "end": 2296.25, "text": "of absolute values مالها converge يبقى ال series الأصلية ال series لل summation لناقص واحد أس N plus one لاتنين أس N في ال N factorial على N to the power N converge", "tokens": [2670, 8236, 4190, 3714, 6027, 11296, 41881, 7251, 3555, 4587, 7578, 2423, 2638, 16247, 36520, 10632, 2423, 2638, 24976, 28811, 5296, 8315, 4587, 9381, 36764, 24401, 5551, 3794, 426, 1804, 472, 5296, 9307, 1863, 9957, 5551, 3794, 426, 8978, 2423, 426, 36916, 15844, 426, 281, 264, 1347, 426, 41881], "avg_logprob": -0.30781250655651093, "compression_ratio": 1.3167701863354038, "no_speech_prob": 0.0, "words": [{"start": 2270.39, "end": 2271.01, "word": "of", "probability": 0.27587890625}, {"start": 2271.01, "end": 2272.49, "word": " absolute", "probability": 0.86181640625}, {"start": 2272.49, "end": 2274.99, "word": " values", "probability": 0.9228515625}, {"start": 2274.99, "end": 2275.97, "word": " مالها", "probability": 0.7435709635416666}, {"start": 2275.97, "end": 2277.67, "word": " converge", "probability": 0.12066650390625}, {"start": 2277.67, "end": 2278.61, "word": " يبقى", "probability": 0.931640625}, {"start": 2278.61, "end": 2278.73, "word": " ال", "probability": 0.7314453125}, {"start": 2278.73, "end": 2279.03, "word": " series", "probability": 0.8408203125}, {"start": 2279.03, "end": 2280.85, "word": " الأصلية", "probability": 0.81494140625}, {"start": 2280.85, "end": 2281.21, "word": " ال", "probability": 0.51611328125}, {"start": 2281.21, "end": 2282.23, "word": " series", "probability": 0.744140625}, {"start": 2282.23, "end": 2283.09, "word": " لل", "probability": 0.68408203125}, {"start": 2283.09, "end": 2284.09, "word": " summation", "probability": 0.86328125}, {"start": 2284.09, "end": 2285.51, "word": " لناقص", "probability": 0.81353759765625}, {"start": 2285.51, "end": 2286.05, "word": " واحد", "probability": 0.985107421875}, {"start": 2286.05, "end": 2286.45, "word": " أس", "probability": 0.602783203125}, {"start": 2286.45, "end": 2286.83, "word": " N", "probability": 0.30859375}, {"start": 2286.83, "end": 2287.57, "word": " plus", "probability": 0.62255859375}, {"start": 2287.57, "end": 2288.09, "word": " one", "probability": 0.90966796875}, {"start": 2288.09, "end": 2289.85, "word": " لاتنين", "probability": 0.7772216796875}, {"start": 2289.85, "end": 2290.39, "word": " أس", "probability": 0.979736328125}, {"start": 2290.39, "end": 2290.77, "word": " N", "probability": 0.87646484375}, {"start": 2290.77, "end": 2291.05, "word": " في", "probability": 0.7685546875}, {"start": 2291.05, "end": 2291.25, "word": " ال", "probability": 0.6953125}, {"start": 2291.25, "end": 2291.61, "word": " N", "probability": 0.85693359375}, {"start": 2291.61, "end": 2292.53, "word": " factorial", "probability": 0.60986328125}, {"start": 2292.53, "end": 2293.35, "word": " على", "probability": 0.712890625}, {"start": 2293.35, "end": 2293.81, "word": " N", "probability": 0.86767578125}, {"start": 2293.81, "end": 2293.97, "word": " to", "probability": 0.951171875}, {"start": 2293.97, "end": 2294.21, "word": " the", "probability": 0.9228515625}, {"start": 2294.21, "end": 2294.75, "word": " power", "probability": 0.88623046875}, {"start": 2294.75, "end": 2295.33, "word": " N", "probability": 0.84521484375}, {"start": 2295.33, "end": 2296.25, "word": " converge", "probability": 0.76416015625}], "temperature": 1.0}, {"id": 96, "seek": 232026, "start": 2298.56, "end": 2320.26, "text": "سؤال السابع السؤال السابع بيقول ليه؟ summation من N equal one to infinity لسلب واحد to the power N لتان inverse N على N جدر ال N زائد واحد", "tokens": [3794, 33604, 6027, 21136, 16758, 3615, 21136, 33604, 6027, 21136, 16758, 3615, 4724, 1829, 39648, 32239, 3224, 22807, 28811, 9154, 426, 2681, 472, 281, 13202, 5296, 3794, 46152, 36764, 24401, 281, 264, 1347, 426, 5296, 2655, 7649, 17340, 426, 15844, 426, 10874, 3215, 2288, 2423, 426, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.24188702582166746, "compression_ratio": 1.3355704697986577, "no_speech_prob": 0.0, "words": [{"start": 2298.56, "end": 2299.0, "word": "سؤال", "probability": 0.841796875}, {"start": 2299.0, "end": 2299.86, "word": " السابع", "probability": 0.9778645833333334}, {"start": 2299.86, "end": 2303.7, "word": " السؤال", "probability": 0.5986735026041666}, {"start": 2303.7, "end": 2304.3, "word": " السابع", "probability": 0.9912109375}, {"start": 2304.3, "end": 2304.74, "word": " بيقول", "probability": 0.8466796875}, {"start": 2304.74, "end": 2305.42, "word": " ليه؟", "probability": 0.455078125}, {"start": 2305.42, "end": 2306.22, "word": " summation", "probability": 0.52734375}, {"start": 2306.22, "end": 2308.1, "word": " من", "probability": 0.86376953125}, {"start": 2308.1, "end": 2308.5, "word": " N", "probability": 0.359619140625}, {"start": 2308.5, "end": 2309.0, "word": " equal", "probability": 0.2685546875}, {"start": 2309.0, "end": 2309.38, "word": " one", "probability": 0.73779296875}, {"start": 2309.38, "end": 2309.68, "word": " to", "probability": 0.95361328125}, {"start": 2309.68, "end": 2310.42, "word": " infinity", "probability": 0.85498046875}, {"start": 2310.42, "end": 2311.82, "word": " لسلب", "probability": 0.6245930989583334}, {"start": 2311.82, "end": 2312.28, "word": " واحد", "probability": 0.98974609375}, {"start": 2312.28, "end": 2312.52, "word": " to", "probability": 0.97216796875}, {"start": 2312.52, "end": 2312.76, "word": " the", "probability": 0.92236328125}, {"start": 2312.76, "end": 2313.3, "word": " power", "probability": 0.8896484375}, {"start": 2313.3, "end": 2313.84, "word": " N", "probability": 0.9091796875}, {"start": 2313.84, "end": 2315.26, "word": " لتان", "probability": 0.8681640625}, {"start": 2315.26, "end": 2316.28, "word": " inverse", "probability": 0.81982421875}, {"start": 2316.28, "end": 2316.9, "word": " N", "probability": 0.9794921875}, {"start": 2316.9, "end": 2317.6, "word": " على", "probability": 0.81494140625}, {"start": 2317.6, "end": 2318.1, "word": " N", "probability": 0.95654296875}, {"start": 2318.1, "end": 2318.66, "word": " جدر", "probability": 0.9469401041666666}, {"start": 2318.66, "end": 2318.9, "word": " ال", "probability": 0.96240234375}, {"start": 2318.9, "end": 2319.22, "word": " N", "probability": 0.830078125}, {"start": 2319.22, "end": 2319.84, "word": " زائد", "probability": 0.89990234375}, {"start": 2319.84, "end": 2320.26, "word": " واحد", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 97, "seek": 234831, "start": 2323.45, "end": 2348.31, "text": "برضه بنشوف ال series هذي converge و لا diverge بروح باخد من ال series of absolute values فبجي بقوله the series of absolute values is summation لمين", "tokens": [26890, 11242, 3224, 44945, 8592, 38688, 2423, 2638, 8032, 8848, 1829, 41881, 4032, 20193, 18558, 432, 4724, 32887, 5016, 4724, 47283, 3215, 9154, 2423, 2638, 295, 8236, 4190, 6156, 3555, 7435, 1829, 4724, 39648, 3224, 264, 2638, 295, 8236, 4190, 307, 28811, 32767, 9957], "avg_logprob": -0.2753472328186035, "compression_ratio": 1.3695652173913044, "no_speech_prob": 0.0, "words": [{"start": 2323.45, "end": 2323.99, "word": "برضه", "probability": 0.6984456380208334}, {"start": 2323.99, "end": 2324.51, "word": " بنشوف", "probability": 0.87353515625}, {"start": 2324.51, "end": 2324.69, "word": " ال", "probability": 0.841796875}, {"start": 2324.69, "end": 2325.01, "word": " series", "probability": 0.90966796875}, {"start": 2325.01, "end": 2325.53, "word": " هذي", "probability": 0.6529947916666666}, {"start": 2325.53, "end": 2325.99, "word": " converge", "probability": 0.7021484375}, {"start": 2325.99, "end": 2326.55, "word": " و", "probability": 0.73486328125}, {"start": 2326.55, "end": 2326.71, "word": " لا", "probability": 0.443603515625}, {"start": 2326.71, "end": 2327.65, "word": " diverge", "probability": 0.6666259765625}, {"start": 2327.65, "end": 2328.51, "word": " بروح", "probability": 0.8811848958333334}, {"start": 2328.51, "end": 2329.03, "word": " باخد", "probability": 0.9749348958333334}, {"start": 2329.03, "end": 2329.41, "word": " من", "probability": 0.96337890625}, {"start": 2329.41, "end": 2330.71, "word": " ال", "probability": 0.7197265625}, {"start": 2330.71, "end": 2331.45, "word": " series", "probability": 0.95166015625}, {"start": 2331.45, "end": 2332.55, "word": " of", "probability": 0.96923828125}, {"start": 2332.55, "end": 2333.73, "word": " absolute", "probability": 0.916015625}, {"start": 2333.73, "end": 2334.89, "word": " values", "probability": 0.8779296875}, {"start": 2334.89, "end": 2335.95, "word": " فبجي", "probability": 0.734954833984375}, {"start": 2335.95, "end": 2336.55, "word": " بقوله", "probability": 0.8377278645833334}, {"start": 2336.55, "end": 2336.77, "word": " the", "probability": 0.51953125}, {"start": 2336.77, "end": 2337.77, "word": " series", "probability": 0.92138671875}, {"start": 2337.77, "end": 2339.09, "word": " of", "probability": 0.98046875}, {"start": 2339.09, "end": 2340.61, "word": " absolute", "probability": 0.92529296875}, {"start": 2340.61, "end": 2343.49, "word": " values", "probability": 0.9638671875}, {"start": 2343.49, "end": 2344.91, "word": " is", "probability": 0.93017578125}, {"start": 2344.91, "end": 2346.75, "word": " summation", "probability": 0.7294921875}, {"start": 2346.75, "end": 2348.31, "word": " لمين", "probability": 0.919189453125}], "temperature": 1.0}, {"id": 98, "seek": 237779, "start": 2348.85, "end": 2377.79, "text": "لتان inverse N على N جذر ال N زائد واحد نبحث ال series تبعتنا هل هي converge او diverge فبنروح ندور على اختبار مناسب لهذه الشغل يالا اقترف علينا ناخد اختبار الحد النوني", "tokens": [1211, 2655, 7649, 17340, 426, 15844, 426, 10874, 8848, 2288, 2423, 426, 30767, 16373, 3215, 36764, 24401, 8717, 49628, 12984, 2423, 2638, 6055, 3555, 34268, 8315, 8032, 1211, 39896, 41881, 1975, 2407, 18558, 432, 6156, 3555, 1863, 32887, 5016, 8717, 3215, 13063, 15844, 1975, 46456, 3555, 9640, 3714, 8315, 35457, 46740, 24192, 25124, 17082, 1211, 7251, 6027, 995, 1975, 38149, 28480, 25894, 8315, 8717, 47283, 3215, 1975, 46456, 3555, 9640, 21542, 3215, 28239, 11536, 1829], "avg_logprob": -0.27898850017472315, "compression_ratio": 1.56, "no_speech_prob": 0.0, "words": [{"start": 2348.85, "end": 2350.17, "word": "لتان", "probability": 0.6167399088541666}, {"start": 2350.17, "end": 2351.43, "word": " inverse", "probability": 0.69677734375}, {"start": 2351.43, "end": 2352.17, "word": " N", "probability": 0.48486328125}, {"start": 2352.17, "end": 2353.21, "word": " على", "probability": 0.560546875}, {"start": 2353.21, "end": 2353.95, "word": " N", "probability": 0.7861328125}, {"start": 2353.95, "end": 2355.09, "word": " جذر", "probability": 0.77978515625}, {"start": 2355.09, "end": 2355.39, "word": " ال", "probability": 0.83642578125}, {"start": 2355.39, "end": 2355.83, "word": " N", "probability": 0.716796875}, {"start": 2355.83, "end": 2356.83, "word": " زائد", "probability": 0.76416015625}, {"start": 2356.83, "end": 2357.27, "word": " واحد", "probability": 0.863525390625}, {"start": 2357.27, "end": 2361.47, "word": " نبحث", "probability": 0.6854654947916666}, {"start": 2361.47, "end": 2361.61, "word": " ال", "probability": 0.39306640625}, {"start": 2361.61, "end": 2361.91, "word": " series", "probability": 0.7822265625}, {"start": 2361.91, "end": 2362.73, "word": " تبعتنا", "probability": 0.8297119140625}, {"start": 2362.73, "end": 2363.01, "word": " هل", "probability": 0.94287109375}, {"start": 2363.01, "end": 2363.33, "word": " هي", "probability": 0.84912109375}, {"start": 2363.33, "end": 2363.83, "word": " converge", "probability": 0.59716796875}, {"start": 2363.83, "end": 2365.35, "word": " او", "probability": 0.853759765625}, {"start": 2365.35, "end": 2366.49, "word": " diverge", "probability": 0.6522216796875}, {"start": 2366.49, "end": 2367.67, "word": " فبنروح", "probability": 0.55}, {"start": 2367.67, "end": 2368.21, "word": " ندور", "probability": 0.90478515625}, {"start": 2368.21, "end": 2368.53, "word": " على", "probability": 0.80615234375}, {"start": 2368.53, "end": 2369.35, "word": " اختبار", "probability": 0.967041015625}, {"start": 2369.35, "end": 2370.25, "word": " مناسب", "probability": 0.9166666666666666}, {"start": 2370.25, "end": 2371.03, "word": " لهذه", "probability": 0.93359375}, {"start": 2371.03, "end": 2372.19, "word": " الشغل", "probability": 0.9708658854166666}, {"start": 2372.19, "end": 2372.85, "word": " يالا", "probability": 0.7444661458333334}, {"start": 2372.85, "end": 2373.21, "word": " اقترف", "probability": 0.8912760416666666}, {"start": 2373.21, "end": 2373.95, "word": " علينا", "probability": 0.844970703125}, {"start": 2373.95, "end": 2376.47, "word": " ناخد", "probability": 0.9568684895833334}, {"start": 2376.47, "end": 2376.93, "word": " اختبار", "probability": 0.9884033203125}, {"start": 2376.93, "end": 2377.33, "word": " الحد", "probability": 0.75390625}, {"start": 2377.33, "end": 2377.79, "word": " النوني", "probability": 0.6796061197916666}], "temperature": 1.0}, {"id": 99, "seek": 240277, "start": 2379.93, "end": 2402.77, "text": "اختبار حد اول واحد طبعا بايع اتنين على ماله نهاية صفر فاشيل الاختبار صفه ع شجة حد فيكم يقدر يكتمل هذه وانا زيكم برضه تمام؟ يبقى صف جانبه نيجي لل comparison إذا ضبطت كنا بها وما ضبطش بروح أدور غيره تمام؟", "tokens": [47283, 2655, 3555, 9640, 11331, 3215, 1975, 12610, 36764, 24401, 23032, 3555, 3615, 995, 4724, 995, 40228, 1975, 2655, 1863, 9957, 15844, 3714, 6027, 3224, 8717, 11296, 10632, 20328, 5172, 2288, 6156, 33599, 26895, 2423, 47283, 2655, 3555, 9640, 20328, 5172, 3224, 6225, 13412, 7435, 3660, 11331, 3215, 8978, 24793, 7251, 28543, 2288, 7251, 4117, 39237, 1211, 29538, 4032, 7649, 995, 30767, 1829, 24793, 4724, 43042, 3224, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 20328, 5172, 10874, 7649, 3555, 3224, 8717, 1829, 7435, 1829, 24976, 9660, 11933, 15730, 48812, 3555, 9566, 2655, 9122, 8315, 4724, 11296, 4032, 15042, 48812, 3555, 9566, 8592, 4724, 32887, 5016, 5551, 3215, 13063, 32771, 13546, 3224, 46811, 10943, 22807], "avg_logprob": -0.2569293426430744, "compression_ratio": 1.631336405529954, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2379.93, "end": 2380.33, "word": "اختبار", "probability": 0.8087158203125}, {"start": 2380.33, "end": 2380.61, "word": " حد", "probability": 0.473541259765625}, {"start": 2380.61, "end": 2380.79, "word": " اول", "probability": 0.815673828125}, {"start": 2380.79, "end": 2381.29, "word": " واحد", "probability": 0.98486328125}, {"start": 2381.29, "end": 2382.53, "word": " طبعا", "probability": 0.944091796875}, {"start": 2382.53, "end": 2382.95, "word": " بايع", "probability": 0.7024739583333334}, {"start": 2382.95, "end": 2383.43, "word": " اتنين", "probability": 0.877685546875}, {"start": 2383.43, "end": 2383.61, "word": " على", "probability": 0.904296875}, {"start": 2383.61, "end": 2383.99, "word": " ماله", "probability": 0.72216796875}, {"start": 2383.99, "end": 2385.19, "word": " نهاية", "probability": 0.8986002604166666}, {"start": 2385.19, "end": 2386.47, "word": " صفر", "probability": 0.9332682291666666}, {"start": 2386.47, "end": 2386.99, "word": " فاشيل", "probability": 0.795654296875}, {"start": 2386.99, "end": 2387.49, "word": " الاختبار", "probability": 0.9119140625}, {"start": 2387.49, "end": 2387.95, "word": " صفه", "probability": 0.7103678385416666}, {"start": 2387.95, "end": 2388.07, "word": " ع", "probability": 0.83349609375}, {"start": 2388.07, "end": 2388.65, "word": " شجة", "probability": 0.6484375}, {"start": 2388.65, "end": 2389.29, "word": " حد", "probability": 0.736083984375}, {"start": 2389.29, "end": 2389.65, "word": " فيكم", "probability": 0.61767578125}, {"start": 2389.65, "end": 2389.95, "word": " يقدر", "probability": 0.8294270833333334}, {"start": 2389.95, "end": 2390.49, "word": " يكتمل", "probability": 0.73809814453125}, {"start": 2390.49, "end": 2390.95, "word": " هذه", "probability": 0.59033203125}, {"start": 2390.95, "end": 2392.45, "word": " وانا", "probability": 0.7493489583333334}, {"start": 2392.45, "end": 2392.81, "word": " زيكم", "probability": 0.8292643229166666}, {"start": 2392.81, "end": 2393.35, "word": " برضه", "probability": 0.9915364583333334}, {"start": 2393.35, "end": 2395.05, "word": " تمام؟", "probability": 0.6097005208333334}, {"start": 2395.05, "end": 2395.49, "word": " يبقى", "probability": 0.9638671875}, {"start": 2395.49, "end": 2395.85, "word": " صف", "probability": 0.95556640625}, {"start": 2395.85, "end": 2396.65, "word": " جانبه", "probability": 0.8941650390625}, {"start": 2396.65, "end": 2397.23, "word": " نيجي", "probability": 0.7972412109375}, {"start": 2397.23, "end": 2397.37, "word": " لل", "probability": 0.82470703125}, {"start": 2397.37, "end": 2397.99, "word": " comparison", "probability": 0.86474609375}, {"start": 2397.99, "end": 2398.65, "word": " إذا", "probability": 0.770751953125}, {"start": 2398.65, "end": 2399.17, "word": " ضبطت", "probability": 0.7984619140625}, {"start": 2399.17, "end": 2399.39, "word": " كنا", "probability": 0.56982421875}, {"start": 2399.39, "end": 2399.73, "word": " بها", "probability": 0.4888916015625}, {"start": 2399.73, "end": 2399.87, "word": " وما", "probability": 0.6241455078125}, {"start": 2399.87, "end": 2400.39, "word": " ضبطش", "probability": 0.889404296875}, {"start": 2400.39, "end": 2400.67, "word": " بروح", "probability": 0.8572591145833334}, {"start": 2400.67, "end": 2401.01, "word": " أدور", "probability": 0.7633463541666666}, {"start": 2401.01, "end": 2401.61, "word": " غيره", "probability": 0.9853515625}, {"start": 2401.61, "end": 2402.77, "word": " تمام؟", "probability": 0.94091796875}], "temperature": 1.0}, {"id": 100, "seek": 243087, "start": 2402.93, "end": 2430.87, "text": "يبقى خلّينا نجرب ال comparison يمكن والله أعلم يبقى هذا tan inverse N على N general N زائد واحد بدأ أمشي أقل منه ولا أكبر منه الله أعلم بعرفش لكن حالة طلعله في ال bus قداشر أقصى ما ممكن يصله لل bus باية اتنين صحيح ولا لأ tan inverse infinity باية اتنين", "tokens": [1829, 3555, 4587, 7578, 16490, 1211, 11703, 9957, 995, 8717, 7435, 25513, 2423, 9660, 7251, 43020, 16070, 43761, 5551, 3615, 19528, 7251, 3555, 4587, 7578, 23758, 7603, 17340, 426, 15844, 426, 2674, 426, 30767, 16373, 3215, 36764, 24401, 47525, 10721, 5551, 2304, 8592, 1829, 5551, 4587, 1211, 9154, 3224, 49429, 5551, 4117, 26890, 9154, 3224, 21984, 5551, 3615, 19528, 4724, 3615, 28480, 8592, 44381, 11331, 6027, 3660, 23032, 1211, 30241, 3224, 8978, 2423, 1255, 12174, 3215, 33599, 2288, 5551, 4587, 9381, 7578, 19446, 3714, 43020, 7251, 36520, 3224, 24976, 1255, 4724, 995, 10632, 1975, 2655, 1863, 9957, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 7603, 17340, 13202, 4724, 995, 10632, 1975, 2655, 1863, 9957], "avg_logprob": -0.26385869357896885, "compression_ratio": 1.6419753086419753, "no_speech_prob": 0.0, "words": [{"start": 2402.93, "end": 2403.33, "word": "يبقى", "probability": 0.80572509765625}, {"start": 2403.33, "end": 2403.77, "word": " خلّينا", "probability": 0.651220703125}, {"start": 2403.77, "end": 2404.17, "word": " نجرب", "probability": 0.9866536458333334}, {"start": 2404.17, "end": 2404.37, "word": " ال", "probability": 0.94482421875}, {"start": 2404.37, "end": 2404.89, "word": " comparison", "probability": 0.88623046875}, {"start": 2404.89, "end": 2405.57, "word": " يمكن", "probability": 0.9423828125}, {"start": 2405.57, "end": 2406.11, "word": " والله", "probability": 0.757568359375}, {"start": 2406.11, "end": 2406.63, "word": " أعلم", "probability": 0.9278971354166666}, {"start": 2406.63, "end": 2407.69, "word": " يبقى", "probability": 0.96337890625}, {"start": 2407.69, "end": 2408.13, "word": " هذا", "probability": 0.859375}, {"start": 2408.13, "end": 2408.99, "word": " tan", "probability": 0.650390625}, {"start": 2408.99, "end": 2409.99, "word": " inverse", "probability": 0.90234375}, {"start": 2409.99, "end": 2410.53, "word": " N", "probability": 0.59814453125}, {"start": 2410.53, "end": 2411.39, "word": " على", "probability": 0.689453125}, {"start": 2411.39, "end": 2411.95, "word": " N", "probability": 0.85693359375}, {"start": 2411.95, "end": 2412.89, "word": " general", "probability": 0.486572265625}, {"start": 2412.89, "end": 2413.61, "word": " N", "probability": 0.9501953125}, {"start": 2413.61, "end": 2414.59, "word": " زائد", "probability": 0.8468424479166666}, {"start": 2414.59, "end": 2415.01, "word": " واحد", "probability": 0.8212890625}, {"start": 2415.01, "end": 2416.19, "word": " بدأ", "probability": 0.31768798828125}, {"start": 2416.19, "end": 2416.47, "word": " أمشي", "probability": 0.788665771484375}, {"start": 2416.47, "end": 2416.95, "word": " أقل", "probability": 0.9775390625}, {"start": 2416.95, "end": 2417.25, "word": " منه", "probability": 0.750732421875}, {"start": 2417.25, "end": 2417.43, "word": " ولا", "probability": 0.44775390625}, {"start": 2417.43, "end": 2417.85, "word": " أكبر", "probability": 0.97509765625}, {"start": 2417.85, "end": 2418.11, "word": " منه", "probability": 0.98193359375}, {"start": 2418.11, "end": 2418.45, "word": " الله", "probability": 0.57958984375}, {"start": 2418.45, "end": 2418.83, "word": " أعلم", "probability": 0.9368489583333334}, {"start": 2418.83, "end": 2419.39, "word": " بعرفش", "probability": 0.726318359375}, {"start": 2419.39, "end": 2419.73, "word": " لكن", "probability": 0.56005859375}, {"start": 2419.73, "end": 2420.93, "word": " حالة", "probability": 0.5093587239583334}, {"start": 2420.93, "end": 2421.45, "word": " طلعله", "probability": 0.65362548828125}, {"start": 2421.45, "end": 2421.61, "word": " في", "probability": 0.93994140625}, {"start": 2421.61, "end": 2421.75, "word": " ال", "probability": 0.8515625}, {"start": 2421.75, "end": 2422.03, "word": " bus", "probability": 0.6962890625}, {"start": 2422.03, "end": 2423.07, "word": " قداشر", "probability": 0.6595458984375}, {"start": 2423.07, "end": 2423.79, "word": " أقصى", "probability": 0.9600830078125}, {"start": 2423.79, "end": 2423.95, "word": " ما", "probability": 0.8818359375}, {"start": 2423.95, "end": 2424.37, "word": " ممكن", "probability": 0.984619140625}, {"start": 2424.37, "end": 2424.91, "word": " يصله", "probability": 0.7788899739583334}, {"start": 2424.91, "end": 2425.05, "word": " لل", "probability": 0.66552734375}, {"start": 2425.05, "end": 2425.33, "word": " bus", "probability": 0.96630859375}, {"start": 2425.33, "end": 2426.77, "word": " باية", "probability": 0.61328125}, {"start": 2426.77, "end": 2427.17, "word": " اتنين", "probability": 0.9022216796875}, {"start": 2427.17, "end": 2427.85, "word": " صحيح", "probability": 0.908203125}, {"start": 2427.85, "end": 2427.99, "word": " ولا", "probability": 0.8642578125}, {"start": 2427.99, "end": 2428.33, "word": " لأ", "probability": 0.7088623046875}, {"start": 2428.33, "end": 2428.79, "word": " tan", "probability": 0.61181640625}, {"start": 2428.79, "end": 2429.31, "word": " inverse", "probability": 0.86181640625}, {"start": 2429.31, "end": 2430.03, "word": " infinity", "probability": 0.8525390625}, {"start": 2430.03, "end": 2430.41, "word": " باية", "probability": 0.9632161458333334}, {"start": 2430.41, "end": 2430.87, "word": " اتنين", "probability": 0.9642333984375}], "temperature": 1.0}, {"id": 101, "seek": 245469, "start": 2431.08, "end": 2454.7, "text": "يبقى بقى اثنين الرقم لا هيقدم ولا هيأخر عندي يبقى اتحكم ال conversion المقام طيب الواحد ولا الان جدر الان؟ مين اللي أكبر؟ هو اللي أكبر يبقى الواحد صوف جنب واروح على شجة يبقى صار عندي رقم على ان أس جدر ال conversion يعني يبقى بدي أمشي أقل منه مظبوط", "tokens": [1829, 3555, 4587, 7578, 4724, 4587, 7578, 1975, 12984, 1863, 9957, 34892, 4587, 2304, 20193, 39896, 28543, 2304, 49429, 39896, 10721, 34740, 18871, 16254, 7251, 3555, 4587, 7578, 1975, 2655, 5016, 24793, 2423, 14298, 9673, 4587, 10943, 23032, 1829, 3555, 2423, 14407, 24401, 49429, 2423, 7649, 10874, 3215, 2288, 2423, 7649, 22807, 3714, 9957, 13672, 1829, 5551, 4117, 26890, 22807, 31439, 13672, 1829, 5551, 4117, 26890, 7251, 3555, 4587, 7578, 2423, 14407, 24401, 20328, 38688, 10874, 1863, 3555, 4032, 9640, 2407, 5016, 15844, 13412, 7435, 3660, 7251, 3555, 4587, 7578, 20328, 9640, 18871, 16254, 12602, 4587, 2304, 15844, 16472, 5551, 3794, 10874, 3215, 2288, 2423, 14298, 37495, 22653, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 2304, 8592, 1829, 5551, 4587, 1211, 9154, 3224, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.21535852713178294, "compression_ratio": 1.985981308411215, "no_speech_prob": 0.0, "words": [{"start": 2431.08, "end": 2431.52, "word": "يبقى", "probability": 0.83447265625}, {"start": 2431.52, "end": 2431.72, "word": " بقى", "probability": 0.6248372395833334}, {"start": 2431.72, "end": 2432.08, "word": " اثنين", "probability": 0.732177734375}, {"start": 2432.08, "end": 2432.54, "word": " الرقم", "probability": 0.9519856770833334}, {"start": 2432.54, "end": 2432.68, "word": " لا", "probability": 0.5830078125}, {"start": 2432.68, "end": 2433.16, "word": " هيقدم", "probability": 0.9138997395833334}, {"start": 2433.16, "end": 2433.28, "word": " ولا", "probability": 0.93115234375}, {"start": 2433.28, "end": 2433.8, "word": " هيأخر", "probability": 0.8733723958333334}, {"start": 2433.8, "end": 2434.24, "word": " عندي", "probability": 0.825927734375}, {"start": 2434.24, "end": 2435.04, "word": " يبقى", "probability": 0.8389892578125}, {"start": 2435.04, "end": 2435.92, "word": " اتحكم", "probability": 0.79913330078125}, {"start": 2435.92, "end": 2436.52, "word": " ال", "probability": 0.90771484375}, {"start": 2436.52, "end": 2437.04, "word": " conversion", "probability": 0.86572265625}, {"start": 2437.04, "end": 2437.94, "word": " المقام", "probability": 0.9306640625}, {"start": 2437.94, "end": 2438.9, "word": " طيب", "probability": 0.9656575520833334}, {"start": 2438.9, "end": 2439.68, "word": " الواحد", "probability": 0.87841796875}, {"start": 2439.68, "end": 2439.94, "word": " ولا", "probability": 0.66796875}, {"start": 2439.94, "end": 2440.3, "word": " الان", "probability": 0.7022705078125}, {"start": 2440.3, "end": 2440.7, "word": " جدر", "probability": 0.833984375}, {"start": 2440.7, "end": 2441.04, "word": " الان؟", "probability": 0.6140950520833334}, {"start": 2441.04, "end": 2441.24, "word": " مين", "probability": 0.65478515625}, {"start": 2441.24, "end": 2441.42, "word": " اللي", "probability": 0.849365234375}, {"start": 2441.42, "end": 2442.12, "word": " أكبر؟", "probability": 0.904541015625}, {"start": 2442.12, "end": 2443.28, "word": " هو", "probability": 0.97412109375}, {"start": 2443.28, "end": 2443.52, "word": " اللي", "probability": 0.985107421875}, {"start": 2443.52, "end": 2443.78, "word": " أكبر", "probability": 0.947265625}, {"start": 2443.78, "end": 2444.1, "word": " يبقى", "probability": 0.869873046875}, {"start": 2444.1, "end": 2444.4, "word": " الواحد", "probability": 0.85888671875}, {"start": 2444.4, "end": 2444.76, "word": " صوف", "probability": 0.862548828125}, {"start": 2444.76, "end": 2445.08, "word": " جنب", "probability": 0.86572265625}, {"start": 2445.08, "end": 2445.4, "word": " واروح", "probability": 0.75164794921875}, {"start": 2445.4, "end": 2445.6, "word": " على", "probability": 0.857421875}, {"start": 2445.6, "end": 2446.14, "word": " شجة", "probability": 0.8251953125}, {"start": 2446.14, "end": 2446.72, "word": " يبقى", "probability": 0.978515625}, {"start": 2446.72, "end": 2446.96, "word": " صار", "probability": 0.76708984375}, {"start": 2446.96, "end": 2447.24, "word": " عندي", "probability": 0.91552734375}, {"start": 2447.24, "end": 2447.72, "word": " رقم", "probability": 0.9967447916666666}, {"start": 2447.72, "end": 2448.02, "word": " على", "probability": 0.89404296875}, {"start": 2448.02, "end": 2448.4, "word": " ان", "probability": 0.29296875}, {"start": 2448.4, "end": 2448.76, "word": " أس", "probability": 0.650634765625}, {"start": 2448.76, "end": 2449.5, "word": " جدر", "probability": 0.7599283854166666}, {"start": 2449.5, "end": 2449.52, "word": " ال", "probability": 0.6171875}, {"start": 2449.52, "end": 2451.04, "word": " conversion", "probability": 0.68798828125}, {"start": 2451.04, "end": 2451.56, "word": " يعني", "probability": 0.8173828125}, {"start": 2451.56, "end": 2452.1, "word": " يبقى", "probability": 0.9830322265625}, {"start": 2452.1, "end": 2452.36, "word": " بدي", "probability": 0.6884765625}, {"start": 2452.36, "end": 2452.7, "word": " أمشي", "probability": 0.9256591796875}, {"start": 2452.7, "end": 2453.22, "word": " أقل", "probability": 0.9122721354166666}, {"start": 2453.22, "end": 2453.88, "word": " منه", "probability": 0.78857421875}, {"start": 2453.88, "end": 2454.7, "word": " مظبوط", "probability": 0.82666015625}], "temperature": 1.0}, {"id": 102, "seek": 246571, "start": 2455.04, "end": 2465.72, "text": "يبجه هذه دائما و أبدا أقل من باي على اتنين على ان جذر الان زائد واحد", "tokens": [1829, 3555, 7435, 3224, 29538, 11778, 16373, 15042, 4032, 5551, 3555, 28259, 5551, 4587, 1211, 9154, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 15844, 16472, 10874, 8848, 2288, 2423, 7649, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.297526042494509, "compression_ratio": 1.3444444444444446, "no_speech_prob": 0.0, "words": [{"start": 2455.04, "end": 2455.78, "word": "يبجه", "probability": 0.5853271484375}, {"start": 2455.78, "end": 2456.14, "word": " هذه", "probability": 0.429443359375}, {"start": 2456.14, "end": 2456.78, "word": " دائما", "probability": 0.91455078125}, {"start": 2456.78, "end": 2457.02, "word": " و", "probability": 0.396484375}, {"start": 2457.02, "end": 2457.48, "word": " أبدا", "probability": 0.7786458333333334}, {"start": 2457.48, "end": 2458.6, "word": " أقل", "probability": 0.962890625}, {"start": 2458.6, "end": 2459.22, "word": " من", "probability": 0.9921875}, {"start": 2459.22, "end": 2460.24, "word": " باي", "probability": 0.3114013671875}, {"start": 2460.24, "end": 2460.64, "word": " على", "probability": 0.76220703125}, {"start": 2460.64, "end": 2461.4, "word": " اتنين", "probability": 0.9481201171875}, {"start": 2461.4, "end": 2462.08, "word": " على", "probability": 0.88427734375}, {"start": 2462.08, "end": 2462.6, "word": " ان", "probability": 0.5341796875}, {"start": 2462.6, "end": 2463.64, "word": " جذر", "probability": 0.9225260416666666}, {"start": 2463.64, "end": 2464.24, "word": " الان", "probability": 0.823486328125}, {"start": 2464.24, "end": 2465.26, "word": " زائد", "probability": 0.8961588541666666}, {"start": 2465.26, "end": 2465.72, "word": " واحد", "probability": 0.98828125}], "temperature": 1.0}, {"id": 103, "seek": 248798, "start": 2472.61, "end": 2487.99, "text": "ممكن يحصل تساوي، يعني بيحصل تساوي، عمرك بتوصل ما لنهاية حتى تحط التساوي، مش ممكنية، مش ممكنية، يبقى بنجرش يحط تساوي، لو حطيت مخصوم لك عليها دي لبالك", "tokens": [2304, 43020, 7251, 5016, 36520, 6055, 3794, 995, 45865, 12399, 37495, 22653, 4724, 1829, 5016, 36520, 6055, 3794, 995, 45865, 12399, 6225, 29973, 4117, 39894, 2407, 36520, 19446, 5296, 1863, 11296, 10632, 11331, 49975, 6055, 5016, 9566, 16712, 3794, 995, 45865, 12399, 37893, 3714, 43020, 10632, 12399, 37893, 3714, 43020, 10632, 12399, 7251, 3555, 4587, 7578, 44945, 7435, 2288, 8592, 7251, 5016, 9566, 6055, 3794, 995, 45865, 12399, 45164, 11331, 9566, 36081, 3714, 9778, 9381, 20498, 5296, 4117, 25894, 11296, 11778, 1829, 5296, 3555, 6027, 4117], "avg_logprob": -0.20456178709008227, "compression_ratio": 1.8943661971830985, "no_speech_prob": 0.0, "words": [{"start": 2472.61, "end": 2473.13, "word": "ممكن", "probability": 0.6998291015625}, {"start": 2473.13, "end": 2473.59, "word": " يحصل", "probability": 0.9391276041666666}, {"start": 2473.59, "end": 2475.11, "word": " تساوي،", "probability": 0.835009765625}, {"start": 2475.11, "end": 2475.63, "word": " يعني", "probability": 0.912109375}, {"start": 2475.63, "end": 2476.05, "word": " بيحصل", "probability": 0.8690185546875}, {"start": 2476.05, "end": 2476.57, "word": " تساوي،", "probability": 0.9234375}, {"start": 2476.57, "end": 2476.95, "word": " عمرك", "probability": 0.8909505208333334}, {"start": 2476.95, "end": 2477.45, "word": " بتوصل", "probability": 0.9485677083333334}, {"start": 2477.45, "end": 2477.69, "word": " ما", "probability": 0.2294921875}, {"start": 2477.69, "end": 2478.21, "word": " لنهاية", "probability": 0.7850341796875}, {"start": 2478.21, "end": 2478.57, "word": " حتى", "probability": 0.875244140625}, {"start": 2478.57, "end": 2479.07, "word": " تحط", "probability": 0.9230143229166666}, {"start": 2479.07, "end": 2480.25, "word": " التساوي،", "probability": 0.89638671875}, {"start": 2480.25, "end": 2481.25, "word": " مش", "probability": 0.83642578125}, {"start": 2481.25, "end": 2482.45, "word": " ممكنية،", "probability": 0.8948974609375}, {"start": 2482.45, "end": 2482.79, "word": " مش", "probability": 0.82861328125}, {"start": 2482.79, "end": 2484.27, "word": " ممكنية،", "probability": 0.9541015625}, {"start": 2484.27, "end": 2484.59, "word": " يبقى", "probability": 0.912109375}, {"start": 2484.59, "end": 2485.13, "word": " بنجرش", "probability": 0.695068359375}, {"start": 2485.13, "end": 2485.37, "word": " يحط", "probability": 0.8981119791666666}, {"start": 2485.37, "end": 2485.77, "word": " تساوي،", "probability": 0.89384765625}, {"start": 2485.77, "end": 2485.97, "word": " لو", "probability": 0.98486328125}, {"start": 2485.97, "end": 2486.35, "word": " حطيت", "probability": 0.9378255208333334}, {"start": 2486.35, "end": 2486.81, "word": " مخصوم", "probability": 0.71099853515625}, {"start": 2486.81, "end": 2486.99, "word": " لك", "probability": 0.7376708984375}, {"start": 2486.99, "end": 2487.33, "word": " عليها", "probability": 0.8759765625}, {"start": 2487.33, "end": 2487.49, "word": " دي", "probability": 0.528076171875}, {"start": 2487.49, "end": 2487.99, "word": " لبالك", "probability": 0.84600830078125}], "temperature": 1.0}, {"id": 104, "seek": 250980, "start": 2489.04, "end": 2509.8, "text": "معناته انت مش فاهم تاني انفرسالي يبقى يدير بالك دقيق و كتابة رياضية دقيقة طب ما احنا مش هنحط يساوي بس من عندنا ممكن ادجلك عليه هك او احطها لك و اتغاب عنها انت و اختك حسب نفس الوضع", "tokens": [2304, 3615, 8315, 47395, 16472, 2655, 37893, 6156, 995, 16095, 6055, 7649, 1829, 16472, 5172, 2288, 3794, 6027, 1829, 7251, 3555, 4587, 7578, 7251, 3215, 13546, 20666, 4117, 11778, 38436, 4587, 4032, 9122, 2655, 16758, 3660, 12602, 1829, 46958, 10632, 11778, 38436, 28671, 23032, 3555, 19446, 1975, 5016, 8315, 37893, 8032, 1863, 5016, 9566, 7251, 3794, 995, 45865, 4724, 3794, 9154, 43242, 8315, 3714, 43020, 1975, 3215, 7435, 23275, 47356, 8032, 4117, 1975, 2407, 1975, 5016, 9566, 11296, 5296, 4117, 4032, 1975, 2655, 17082, 16758, 18871, 11296, 16472, 2655, 4032, 1975, 46456, 4117, 11331, 35457, 8717, 36178, 2423, 2407, 11242, 3615], "avg_logprob": -0.3287377375013688, "compression_ratio": 1.7582417582417582, "no_speech_prob": 0.0, "words": [{"start": 2489.04, "end": 2489.84, "word": "معناته", "probability": 0.57025146484375}, {"start": 2489.84, "end": 2490.0, "word": " انت", "probability": 0.318603515625}, {"start": 2490.0, "end": 2490.18, "word": " مش", "probability": 0.66357421875}, {"start": 2490.18, "end": 2490.58, "word": " فاهم", "probability": 0.9903971354166666}, {"start": 2490.58, "end": 2490.96, "word": " تاني", "probability": 0.6458333333333334}, {"start": 2490.96, "end": 2491.84, "word": " انفرسالي", "probability": 0.8013916015625}, {"start": 2491.84, "end": 2492.5, "word": " يبقى", "probability": 0.6436767578125}, {"start": 2492.5, "end": 2492.8, "word": " يدير", "probability": 0.5105794270833334}, {"start": 2492.8, "end": 2493.16, "word": " بالك", "probability": 0.921875}, {"start": 2493.16, "end": 2493.88, "word": " دقيق", "probability": 0.9026692708333334}, {"start": 2493.88, "end": 2494.04, "word": " و", "probability": 0.97607421875}, {"start": 2494.04, "end": 2494.66, "word": " كتابة", "probability": 0.86572265625}, {"start": 2494.66, "end": 2495.2, "word": " رياضية", "probability": 0.9862060546875}, {"start": 2495.2, "end": 2495.84, "word": " دقيقة", "probability": 0.9866536458333334}, {"start": 2495.84, "end": 2498.94, "word": " طب", "probability": 0.76123046875}, {"start": 2498.94, "end": 2499.04, "word": " ما", "probability": 0.3759765625}, {"start": 2499.04, "end": 2499.12, "word": " احنا", "probability": 0.7408854166666666}, {"start": 2499.12, "end": 2499.3, "word": " مش", "probability": 0.97216796875}, {"start": 2499.3, "end": 2499.7, "word": " هنحط", "probability": 0.9683837890625}, {"start": 2499.7, "end": 2500.22, "word": " يساوي", "probability": 0.97607421875}, {"start": 2500.22, "end": 2500.44, "word": " بس", "probability": 0.720947265625}, {"start": 2500.44, "end": 2500.56, "word": " من", "probability": 0.49609375}, {"start": 2500.56, "end": 2503.66, "word": " عندنا", "probability": 0.4658203125}, {"start": 2503.66, "end": 2504.32, "word": " ممكن", "probability": 0.87255859375}, {"start": 2504.32, "end": 2504.88, "word": " ادجلك", "probability": 0.65606689453125}, {"start": 2504.88, "end": 2505.24, "word": " عليه", "probability": 0.60400390625}, {"start": 2505.24, "end": 2505.68, "word": " هك", "probability": 0.5841064453125}, {"start": 2505.68, "end": 2505.96, "word": " او", "probability": 0.8154296875}, {"start": 2505.96, "end": 2506.62, "word": " احطها", "probability": 0.91015625}, {"start": 2506.62, "end": 2506.84, "word": " لك", "probability": 0.75732421875}, {"start": 2506.84, "end": 2506.98, "word": " و", "probability": 0.9296875}, {"start": 2506.98, "end": 2507.36, "word": " اتغاب", "probability": 0.595947265625}, {"start": 2507.36, "end": 2507.78, "word": " عنها", "probability": 0.83154296875}, {"start": 2507.78, "end": 2508.0, "word": " انت", "probability": 0.879638671875}, {"start": 2508.0, "end": 2508.12, "word": " و", "probability": 0.95166015625}, {"start": 2508.12, "end": 2508.62, "word": " اختك", "probability": 0.8235677083333334}, {"start": 2508.62, "end": 2509.06, "word": " حسب", "probability": 0.9765625}, {"start": 2509.06, "end": 2509.34, "word": " نفس", "probability": 0.37744140625}, {"start": 2509.34, "end": 2509.8, "word": " الوضع", "probability": 0.9468994140625}], "temperature": 1.0}, {"id": 105, "seek": 252917, "start": 2510.83, "end": 2529.17, "text": "طيب، على أي حال، خلّي بالكم معنا هنا، الآن مشيت أقل من بقال ماشي أقل من، بقول له هذه أقل من by على اتنين على n في جدر ال N، وبسأل السؤال التالي، كتاب هذا صح ولا خطأ؟", "tokens": [9566, 1829, 3555, 12399, 15844, 36632, 11331, 6027, 12399, 16490, 1211, 11703, 1829, 20666, 24793, 20449, 8315, 34105, 12399, 6024, 48506, 37893, 36081, 5551, 4587, 1211, 9154, 4724, 4587, 6027, 3714, 33599, 1829, 5551, 4587, 1211, 9154, 12399, 4724, 39648, 46740, 29538, 5551, 4587, 1211, 9154, 538, 15844, 1975, 2655, 1863, 9957, 15844, 297, 8978, 10874, 3215, 2288, 2423, 426, 12399, 46599, 3794, 10721, 1211, 21136, 33604, 6027, 16712, 6027, 1829, 12399, 9122, 2655, 16758, 23758, 20328, 5016, 49429, 16490, 9566, 10721, 22807], "avg_logprob": -0.29631697705813814, "compression_ratio": 1.670520231213873, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2510.83, "end": 2511.43, "word": "طيب،", "probability": 0.618896484375}, {"start": 2511.43, "end": 2511.73, "word": " على", "probability": 0.81591796875}, {"start": 2511.73, "end": 2511.93, "word": " أي", "probability": 0.833984375}, {"start": 2511.93, "end": 2512.61, "word": " حال،", "probability": 0.8250325520833334}, {"start": 2512.61, "end": 2512.93, "word": " خلّي", "probability": 0.59698486328125}, {"start": 2512.93, "end": 2513.23, "word": " بالكم", "probability": 0.5966796875}, {"start": 2513.23, "end": 2513.51, "word": " معنا", "probability": 0.62158203125}, {"start": 2513.51, "end": 2514.69, "word": " هنا،", "probability": 0.6552734375}, {"start": 2514.69, "end": 2515.09, "word": " الآن", "probability": 0.68017578125}, {"start": 2515.09, "end": 2515.55, "word": " مشيت", "probability": 0.5147705078125}, {"start": 2515.55, "end": 2516.17, "word": " أقل", "probability": 0.9278971354166666}, {"start": 2516.17, "end": 2516.39, "word": " من", "probability": 0.9931640625}, {"start": 2516.39, "end": 2516.89, "word": " بقال", "probability": 0.6513671875}, {"start": 2516.89, "end": 2517.37, "word": " ماشي", "probability": 0.82373046875}, {"start": 2517.37, "end": 2517.99, "word": " أقل", "probability": 0.98876953125}, {"start": 2517.99, "end": 2518.41, "word": " من،", "probability": 0.731689453125}, {"start": 2518.41, "end": 2518.89, "word": " بقول", "probability": 0.97216796875}, {"start": 2518.89, "end": 2519.03, "word": " له", "probability": 0.62890625}, {"start": 2519.03, "end": 2519.45, "word": " هذه", "probability": 0.57373046875}, {"start": 2519.45, "end": 2520.59, "word": " أقل", "probability": 0.9894205729166666}, {"start": 2520.59, "end": 2521.05, "word": " من", "probability": 0.99755859375}, {"start": 2521.05, "end": 2521.75, "word": " by", "probability": 0.20947265625}, {"start": 2521.75, "end": 2522.69, "word": " على", "probability": 0.72119140625}, {"start": 2522.69, "end": 2523.51, "word": " اتنين", "probability": 0.8494873046875}, {"start": 2523.51, "end": 2524.17, "word": " على", "probability": 0.88671875}, {"start": 2524.17, "end": 2524.71, "word": " n", "probability": 0.485595703125}, {"start": 2524.71, "end": 2525.01, "word": " في", "probability": 0.927734375}, {"start": 2525.01, "end": 2525.47, "word": " جدر", "probability": 0.8956705729166666}, {"start": 2525.47, "end": 2525.67, "word": " ال", "probability": 0.9306640625}, {"start": 2525.67, "end": 2526.03, "word": " N،", "probability": 0.5006103515625}, {"start": 2526.03, "end": 2526.43, "word": " وبسأل", "probability": 0.8016357421875}, {"start": 2526.43, "end": 2526.89, "word": " السؤال", "probability": 0.9386393229166666}, {"start": 2526.89, "end": 2527.49, "word": " التالي،", "probability": 0.7791748046875}, {"start": 2527.49, "end": 2527.73, "word": " كتاب", "probability": 0.8257649739583334}, {"start": 2527.73, "end": 2527.91, "word": " هذا", "probability": 0.62841796875}, {"start": 2527.91, "end": 2528.19, "word": " صح", "probability": 0.97802734375}, {"start": 2528.19, "end": 2528.39, "word": " ولا", "probability": 0.83740234375}, {"start": 2528.39, "end": 2529.17, "word": " خطأ؟", "probability": 0.980224609375}], "temperature": 1.0}, {"id": 106, "seek": 255650, "start": 2530.98, "end": 2556.5, "text": "طبعا 100% لأن المقام الأول أكبر وبالتالي الكثير أقل طيب هذه هي عبارة عن باي على اتنين على N أس تلاتة على اتنين بقوله ماشي بقى ولكن باي على اتنين summation لواحد على N أس تلاتة على اتنين من N equal one to infinity", "tokens": [9566, 3555, 3615, 995, 2319, 4, 5296, 33456, 9673, 4587, 10943, 16247, 12610, 5551, 4117, 26890, 46599, 6027, 2655, 6027, 1829, 33251, 12984, 13546, 5551, 4587, 1211, 23032, 1829, 3555, 29538, 39896, 6225, 3555, 9640, 3660, 18871, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 15844, 426, 5551, 3794, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 4724, 39648, 3224, 3714, 33599, 1829, 4724, 4587, 7578, 35525, 19452, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 28811, 5296, 14407, 24401, 15844, 426, 5551, 3794, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 9154, 426, 2681, 472, 281, 13202], "avg_logprob": -0.20438762836986119, "compression_ratio": 1.8072916666666667, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2530.98, "end": 2531.36, "word": "طبعا", "probability": 0.6829299926757812}, {"start": 2531.36, "end": 2531.42, "word": " 100", "probability": 0.2890625}, {"start": 2531.42, "end": 2531.9, "word": "%", "probability": 0.80126953125}, {"start": 2531.9, "end": 2532.24, "word": " لأن", "probability": 0.7626953125}, {"start": 2532.24, "end": 2532.68, "word": " المقام", "probability": 0.9222005208333334}, {"start": 2532.68, "end": 2533.08, "word": " الأول", "probability": 0.951171875}, {"start": 2533.08, "end": 2533.64, "word": " أكبر", "probability": 0.9541015625}, {"start": 2533.64, "end": 2534.56, "word": " وبالتالي", "probability": 0.924609375}, {"start": 2534.56, "end": 2535.24, "word": " الكثير", "probability": 0.83154296875}, {"start": 2535.24, "end": 2536.34, "word": " أقل", "probability": 0.9703776041666666}, {"start": 2536.34, "end": 2536.86, "word": " طيب", "probability": 0.91650390625}, {"start": 2536.86, "end": 2537.52, "word": " هذه", "probability": 0.68310546875}, {"start": 2537.52, "end": 2538.3, "word": " هي", "probability": 0.6416015625}, {"start": 2538.3, "end": 2538.86, "word": " عبارة", "probability": 0.9935302734375}, {"start": 2538.86, "end": 2539.18, "word": " عن", "probability": 0.98974609375}, {"start": 2539.18, "end": 2539.58, "word": " باي", "probability": 0.287506103515625}, {"start": 2539.58, "end": 2539.94, "word": " على", "probability": 0.8291015625}, {"start": 2539.94, "end": 2540.7, "word": " اتنين", "probability": 0.94189453125}, {"start": 2540.7, "end": 2541.5, "word": " على", "probability": 0.744140625}, {"start": 2541.5, "end": 2542.12, "word": " N", "probability": 0.34228515625}, {"start": 2542.12, "end": 2542.7, "word": " أس", "probability": 0.66162109375}, {"start": 2542.7, "end": 2543.3, "word": " تلاتة", "probability": 0.82275390625}, {"start": 2543.3, "end": 2543.52, "word": " على", "probability": 0.86962890625}, {"start": 2543.52, "end": 2544.04, "word": " اتنين", "probability": 0.9676513671875}, {"start": 2544.04, "end": 2545.0, "word": " بقوله", "probability": 0.86962890625}, {"start": 2545.0, "end": 2545.54, "word": " ماشي", "probability": 0.9344075520833334}, {"start": 2545.54, "end": 2546.7, "word": " بقى", "probability": 0.7874348958333334}, {"start": 2546.7, "end": 2547.9, "word": " ولكن", "probability": 0.807373046875}, {"start": 2547.9, "end": 2548.66, "word": " باي", "probability": 0.815673828125}, {"start": 2548.66, "end": 2548.98, "word": " على", "probability": 0.94580078125}, {"start": 2548.98, "end": 2549.64, "word": " اتنين", "probability": 0.9822998046875}, {"start": 2549.64, "end": 2550.28, "word": " summation", "probability": 0.5732421875}, {"start": 2550.28, "end": 2551.44, "word": " لواحد", "probability": 0.8707682291666666}, {"start": 2551.44, "end": 2551.74, "word": " على", "probability": 0.9072265625}, {"start": 2551.74, "end": 2552.14, "word": " N", "probability": 0.92724609375}, {"start": 2552.14, "end": 2552.92, "word": " أس", "probability": 0.892822265625}, {"start": 2552.92, "end": 2553.4, "word": " تلاتة", "probability": 0.96826171875}, {"start": 2553.4, "end": 2553.6, "word": " على", "probability": 0.90966796875}, {"start": 2553.6, "end": 2554.18, "word": " اتنين", "probability": 0.9803466796875}, {"start": 2554.18, "end": 2554.42, "word": " من", "probability": 0.953125}, {"start": 2554.42, "end": 2554.76, "word": " N", "probability": 0.93994140625}, {"start": 2554.76, "end": 2555.22, "word": " equal", "probability": 0.54052734375}, {"start": 2555.22, "end": 2555.64, "word": " one", "probability": 0.830078125}, {"start": 2555.64, "end": 2555.88, "word": " to", "probability": 0.93359375}, {"start": 2555.88, "end": 2556.5, "word": " infinity", "probability": 0.8515625}], "temperature": 1.0}, {"id": 107, "seek": 257483, "start": 2560.51, "end": 2574.83, "text": "السبب ان P يسوى تلاتة على اتنين اكبر من الواحد الصحيح يبدأ الاقل منها by the comparison test", "tokens": [6027, 35457, 3555, 16472, 430, 7251, 3794, 2407, 7578, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 1975, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 7251, 44510, 10721, 42963, 4587, 1211, 9154, 11296, 538, 264, 9660, 1500], "avg_logprob": -0.3203125, "compression_ratio": 1.1951219512195121, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2560.5099999999998, "end": 2561.91, "word": "السبب", "probability": 0.5401611328125}, {"start": 2561.91, "end": 2563.31, "word": " ان", "probability": 0.2147216796875}, {"start": 2563.31, "end": 2564.63, "word": " P", "probability": 0.53564453125}, {"start": 2564.63, "end": 2565.55, "word": " يسوى", "probability": 0.57293701171875}, {"start": 2565.55, "end": 2566.17, "word": " تلاتة", "probability": 0.697113037109375}, {"start": 2566.17, "end": 2566.37, "word": " على", "probability": 0.70361328125}, {"start": 2566.37, "end": 2566.93, "word": " اتنين", "probability": 0.9625244140625}, {"start": 2566.93, "end": 2567.53, "word": " اكبر", "probability": 0.90380859375}, {"start": 2567.53, "end": 2567.73, "word": " من", "probability": 0.96337890625}, {"start": 2567.73, "end": 2568.27, "word": " الواحد", "probability": 0.8673502604166666}, {"start": 2568.27, "end": 2569.07, "word": " الصحيح", "probability": 0.961181640625}, {"start": 2569.07, "end": 2570.05, "word": " يبدأ", "probability": 0.8518880208333334}, {"start": 2570.05, "end": 2571.17, "word": " الاقل", "probability": 0.83740234375}, {"start": 2571.17, "end": 2571.93, "word": " منها", "probability": 0.983642578125}, {"start": 2571.93, "end": 2572.61, "word": " by", "probability": 0.450927734375}, {"start": 2572.61, "end": 2573.07, "word": " the", "probability": 0.64453125}, {"start": 2573.07, "end": 2574.03, "word": " comparison", "probability": 0.82373046875}, {"start": 2574.03, "end": 2574.83, "word": " test", "probability": 0.91259765625}], "temperature": 1.0}, {"id": 108, "seek": 259298, "start": 2590.35, "end": 2592.99, "text": "بنان على الأصلية", "tokens": [3555, 1863, 7649, 15844, 16247, 36520, 10632], "avg_logprob": -0.5522460862994194, "compression_ratio": 0.8108108108108109, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2590.35, "end": 2591.75, "word": "بنان", "probability": 0.490478515625}, {"start": 2591.75, "end": 2591.91, "word": " على", "probability": 0.3525390625}, {"start": 2591.91, "end": 2592.99, "word": " الأصلية", "probability": 0.7726236979166666}], "temperature": 1.0}, {"id": 109, "seek": 262098, "start": 2593.55, "end": 2620.99, "text": "converge absolutely so the series الاصلي اللي هي summation لمين لسلب واحد to the power n لتان inverse n على n جدر ال n زائد واحد converge absolutely فهنا ضايق الفلتان أمثلة", "tokens": [1671, 331, 432, 3122, 370, 264, 2638, 2423, 33546, 20292, 13672, 1829, 39896, 28811, 32767, 9957, 5296, 3794, 46152, 36764, 24401, 281, 264, 1347, 297, 5296, 2655, 7649, 17340, 297, 15844, 297, 10874, 3215, 2288, 2423, 297, 30767, 16373, 3215, 36764, 24401, 41881, 3122, 6156, 3224, 8315, 48812, 47302, 4587, 27188, 1211, 2655, 7649, 5551, 2304, 12984, 37977], "avg_logprob": -0.3779131446854543, "compression_ratio": 1.4390243902439024, "no_speech_prob": 0.0, "words": [{"start": 2593.55, "end": 2594.57, "word": "converge", "probability": 0.7113444010416666}, {"start": 2594.57, "end": 2595.63, "word": " absolutely", "probability": 0.6728515625}, {"start": 2595.63, "end": 2596.25, "word": " so", "probability": 0.049774169921875}, {"start": 2596.25, "end": 2597.19, "word": " the", "probability": 0.60205078125}, {"start": 2597.19, "end": 2598.37, "word": " series", "probability": 0.88134765625}, {"start": 2598.37, "end": 2600.13, "word": " الاصلي", "probability": 0.7161458333333334}, {"start": 2600.13, "end": 2600.43, "word": " اللي", "probability": 0.5872802734375}, {"start": 2600.43, "end": 2600.73, "word": " هي", "probability": 0.72802734375}, {"start": 2600.73, "end": 2601.57, "word": " summation", "probability": 0.77978515625}, {"start": 2601.57, "end": 2602.93, "word": " لمين", "probability": 0.668212890625}, {"start": 2602.93, "end": 2603.79, "word": " لسلب", "probability": 0.4940592447916667}, {"start": 2603.79, "end": 2604.31, "word": " واحد", "probability": 0.97998046875}, {"start": 2604.31, "end": 2604.55, "word": " to", "probability": 0.955078125}, {"start": 2604.55, "end": 2604.89, "word": " the", "probability": 0.90966796875}, {"start": 2604.89, "end": 2605.31, "word": " power", "probability": 0.90380859375}, {"start": 2605.31, "end": 2605.83, "word": " n", "probability": 0.5634765625}, {"start": 2605.83, "end": 2607.33, "word": " لتان", "probability": 0.8839518229166666}, {"start": 2607.33, "end": 2608.09, "word": " inverse", "probability": 0.93212890625}, {"start": 2608.09, "end": 2608.75, "word": " n", "probability": 0.55908203125}, {"start": 2608.75, "end": 2609.65, "word": " على", "probability": 0.6171875}, {"start": 2609.65, "end": 2610.17, "word": " n", "probability": 0.6025390625}, {"start": 2610.17, "end": 2610.77, "word": " جدر", "probability": 0.81787109375}, {"start": 2610.77, "end": 2611.01, "word": " ال", "probability": 0.92626953125}, {"start": 2611.01, "end": 2611.31, "word": " n", "probability": 0.7138671875}, {"start": 2611.31, "end": 2611.87, "word": " زائد", "probability": 0.85888671875}, {"start": 2611.87, "end": 2612.57, "word": " واحد", "probability": 0.971923828125}, {"start": 2612.57, "end": 2613.91, "word": " converge", "probability": 0.80859375}, {"start": 2613.91, "end": 2616.79, "word": " absolutely", "probability": 0.75}, {"start": 2616.79, "end": 2619.23, "word": " فهنا", "probability": 0.4129231770833333}, {"start": 2619.23, "end": 2619.89, "word": " ضايق", "probability": 0.7496744791666666}, {"start": 2619.89, "end": 2620.63, "word": " الفلتان", "probability": 0.815673828125}, {"start": 2620.63, "end": 2620.99, "word": " أمثلة", "probability": 0.78521728515625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2621.88125, "duration_after_vad": 2510.0672187499913}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Dcb02BSs1w4_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Dcb02BSs1w4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..03f820efaae8e6135af3e321d622f6cf83611c26
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Dcb02BSs1w4_postprocess.srt
@@ -0,0 +1,1856 @@
+1
+00:00:09,880 --> 00:00:14,580
+بسم الله الرحمن الرحيمنكمل مابتدأنا بيه في المرة
+
+2
+00:00:14,580 --> 00:00:19,920
+الماضية المرة الماضية أخدنا أول اختبار اللى اسمه
+
+3
+00:00:19,920 --> 00:00:24,600
+limit اللى اسمه direct comparison test اللى اختبار
+
+4
+00:00:24,600 --> 00:00:30,520
+المقارنة و أخدنا عليه أول مثال و الأن نروح للمثال
+
+5
+00:00:30,520 --> 00:00:36,300
+رقم اتنينبنشوف هذا تكامل converge و لا diverge
+
+6
+00:00:36,300 --> 00:00:42,740
+فبروح باخد الدالة نفسها اللي هو E أس ناقص X تمين
+
+7
+00:00:42,740 --> 00:00:48,580
+في cosine تربيع ال X يعني اللي هي cosine تربيع ال
+
+8
+00:00:48,580 --> 00:00:56,080
+X على E أس X السؤال هو مين أقرب دالة على هذه
+
+9
+00:00:56,080 --> 00:00:58,680
+الدالة؟ نخلقها منها
+
+10
+00:01:01,790 --> 00:01:07,210
+اللي هو مين؟ واحد على EO6، هذه أقرب واحد عليها،
+
+11
+00:01:07,210 --> 00:01:12,270
+الدالة اللي بدك تجيبها، بدك كنت تعرفها مسبقا هل هي
+
+12
+00:01:12,270 --> 00:01:17,510
+converge او diverge، يبقى أقرب دالة عليها، اللي هي
+
+13
+00:01:17,510 --> 00:01:23,910
+عبارة عن مين؟ واحد على EO6 طب السؤال هو، مين اللي
+
+14
+00:01:23,910 --> 00:01:26,110
+أصغر، الأولى ولا الثانية؟
+
+15
+00:01:37,140 --> 00:01:44,820
+يبقى من Zero لواحد، يبقى أقل من الدالة التانية ولا
+
+16
+00:01:44,820 --> 00:01:50,880
+أكبر منهادائما أقل من وقت تساويها لما رابنا يحط
+
+17
+00:01:50,880 --> 00:01:55,820
+فيها البركة بتساويها تمام؟ إذا هذه ال function أقل
+
+18
+00:01:55,820 --> 00:02:03,080
+من وقت تساوي هذه الدالة لأخر المرة اللي فاتت بقى
+
+19
+00:02:03,080 --> 00:02:09,720
+ولكن تكامل من واحد إلى infinity لواحد على EO6DH
+
+20
+00:02:09,720 --> 00:02:18,640
+converge اللي هو ال previousالمثال السابق بالضغط
+
+21
+00:02:18,640 --> 00:02:23,960
+تماما يبقى هذي converged بإبارة comparison test
+
+22
+00:02:23,960 --> 00:02:30,160
+اللي أصغر منها converged يبقى بروح بقوله by the
+
+23
+00:02:30,160 --> 00:02:35,460
+direct comparison test التكامل مواحد إلى infinity
+
+24
+00:02:35,460 --> 00:02:42,260
+لل EOS نقص X cos تربيع X DX converged وانتهينا من
+
+25
+00:02:42,260 --> 00:02:47,770
+المثل هذهيبقى هذه النمرة الوساية بلزم ليش تكامل،
+
+26
+00:02:47,770 --> 00:02:54,770
+بلزم نقارنه بس، نمرة تلاتة نمرة تلاتة بدنا تكامل
+
+27
+00:02:54,770 --> 00:03:02,170
+من واحد إلى infinity لل X DX على الجدرى الترابيعي
+
+28
+00:03:02,170 --> 00:03:10,610
+لأربعة X أُس خمسة زائد واحدبنجي على الدالة اللى
+
+29
+00:03:10,610 --> 00:03:15,750
+عندنا هذه اللى هي مين X على الجذر التربيعى لأربعة
+
+30
+00:03:15,750 --> 00:03:23,310
+X أس خمسة زائد واحد شوفوا يا شباب كيف بدنا نجيب
+
+31
+00:03:23,310 --> 00:03:28,730
+الدالة اللى بدنا نقارن معاها بدي بقول ال boss جاهز
+
+32
+00:03:28,730 --> 00:03:33,270
+X لا بد أزيد عليه ولا نجس بدأي على دالة المقام
+
+33
+00:03:33,270 --> 00:03:38,670
+الواحد مقدار ثابتإذا قُرن بالإكسوس خمسة يبقى إكسوس
+
+34
+00:03:38,670 --> 00:03:42,370
+خمسة هي الكبيرة لإن الإكسوس بتروح لوين؟ للملة
+
+35
+00:03:42,370 --> 00:03:45,190
+نهائية، انت جراش لغاية الملة نهائية، هو الأربعة
+
+36
+00:03:45,190 --> 00:03:50,210
+مقدار ثابت سيبك منه يبقى المقام كله كأنه الجدر
+
+37
+00:03:50,210 --> 00:03:55,010
+التربيه للإكسوس خمسة يعني إكسوس جداش خمسة على
+
+38
+00:03:55,010 --> 00:04:00,030
+اتنين اتنين و نص، وعندي فوق إكسوس واحد لما نختصرهم
+
+39
+00:04:00,030 --> 00:04:05,040
+يظل واحد على إكسوس جداشأو 3 على 2 التكمل عليها
+
+40
+00:04:05,040 --> 00:04:10,480
+convergence ولا divergence؟ نعم لأن هناك نظرية
+
+41
+00:04:10,480 --> 00:04:14,900
+مكتوبة معنا المرة الماضية 1 على X to the power P
+
+42
+00:04:14,900 --> 00:04:19,160
+DX convergence إذا P أكبر من 1 و divergence إذا P
+
+43
+00:04:19,160 --> 00:04:22,680
+أقل من أو تساوي الواحد يبقى التكمل عليها
+
+44
+00:04:22,680 --> 00:04:24,900
+convergence قلنا لك المرة الماضية مع ال
+
+45
+00:04:24,900 --> 00:04:28,080
+convergence بالدمشي أصغر منه مع ال divergence
+
+46
+00:04:28,080 --> 00:04:33,120
+بالدمشي أكبر منهيبقى barrier functional لأنها مدام
+
+47
+00:04:33,120 --> 00:04:38,360
+convert إذا بدي أمشي أقل من X على الجدرى التربية
+
+48
+00:04:38,360 --> 00:04:43,380
+إلى أربعة X أُس خامسة يعني شيلت مين؟ شيلت الواحد
+
+49
+00:04:43,380 --> 00:04:47,820
+سؤال هو هل الكلام اللي يعني كاتبه كان quality صحيح
+
+50
+00:04:47,820 --> 00:04:54,520
+ولا خطأ؟ اللي قال خطأ يوجه فارباسي يقولي وين هو؟
+
+51
+00:04:54,520 --> 00:04:58,600
+خليني أتنبأ أنت اللي قالت خطأ؟ طب ليش خطأ قد يفرق؟
+
+52
+00:05:00,440 --> 00:05:06,060
+فبلا ما اكبر المقام بزيد الكثر ولا بجل؟ بجل ولا
+
+53
+00:05:06,060 --> 00:05:09,540
+بزيد؟ بجل، بجل، بجل، بجل، بجل، بجل
+
+54
+00:05:13,420 --> 00:05:19,200
+كل ما يكبر المقام، بيقل الكثر. النص ولا التمن؟
+
+55
+00:05:19,200 --> 00:05:23,300
+النص أكبر أو كبير، يبقى التنن أجنب من النص، رغم
+
+56
+00:05:23,300 --> 00:05:28,360
+يقامه كبير. إذا كل ما يكبر المقام، بيقل من؟ بيقل
+
+57
+00:05:28,360 --> 00:05:31,900
+الكثر. يبقى الكلام اللي قاله هو مش صحيح، وكلامنا
+
+58
+00:05:31,900 --> 00:05:37,480
+هو الصحيح. تمام؟ إذا هذا المقدار كله أقل من
+
+59
+00:05:37,480 --> 00:05:43,880
+المقدار هذا كله.يبقى هذا عبارة عن X على 2 X أس
+
+60
+00:05:43,880 --> 00:05:49,160
+خمسة على اتنين يعني واحد على اتنين X أس ثلاثة على
+
+61
+00:05:49,160 --> 00:05:56,080
+اتنين بروح بقوله بطوى لكن اللي هو نص تكامل من واحد
+
+62
+00:05:56,080 --> 00:06:01,100
+إلى infinity لوحد على X أس ثلاثة على اتنين DX
+
+63
+00:06:01,100 --> 00:06:09,590
+converge السبببسبب أن P تسوى 3 على 2 أكبر من
+
+64
+00:06:09,590 --> 00:06:16,990
+الواحد الصحيح By the direct comparison test تكامل
+
+65
+00:06:16,990 --> 00:06:24,230
+من 1 إلى infinity لل X DX على الجذر التربيعي ل 4X
+
+66
+00:06:24,230 --> 00:06:32,490
+أُس 5 زائد 1 convergence هنا من المسألة
+
+67
+00:06:34,280 --> 00:06:39,900
+طيب نروح لسؤال اللي بعده اللي هو السؤال الرابع
+
+68
+00:06:39,900 --> 00:06:45,800
+السؤال الرابع بيقول يتكامل من واحد إلى infinity
+
+69
+00:06:45,800 --> 00:06:54,180
+للإتنين زائد cosine x على x كله في ال dx بدي أشوف
+
+70
+00:06:54,180 --> 00:07:00,080
+إن هذا تكامل converge ولا divergeبدي بسأل نفسي
+
+71
+00:07:00,080 --> 00:07:05,840
+أكبر قيمة بياخدها ال X كده؟ كوصين ال X واحد و عندك
+
+72
+00:07:05,840 --> 00:07:11,540
+اتنين يعني أكبر قيمة بياخدها البصد هو تلاتة نيجي
+
+73
+00:07:11,540 --> 00:07:16,980
+أصغر قيمة بياخدها البصد كده؟ واحد لإن كوصين سالف
+
+74
+00:07:16,980 --> 00:07:21,620
+واحد و اتنين بيصير واحد إذا البصد محصور بين واحدلا
+
+75
+00:07:21,620 --> 00:07:25,480
+ينجز عن الواحد ولا يزيد عن الثالث. عندما يحط ربك
+
+76
+00:07:25,480 --> 00:07:30,040
+في البركة تصبح ثلاثة وعندما ينخسف تصبح واحد صحيح.
+
+77
+00:07:30,200 --> 00:07:35,040
+إذا البسط هذا دائما هو أبدا كنسة، رقم. طب تعال خد
+
+78
+00:07:35,040 --> 00:07:41,080
+المقام هذه. يبقى هذا المقام بظل بروح الله سلاله
+
+79
+00:07:41,080 --> 00:07:46,700
+مالا نهاية. انا أصلا عندي رقم على X. قول مثلا واحد
+
+80
+00:07:46,700 --> 00:07:52,270
+على X. واحد على X، converge ولا diverge؟وحدة على
+
+81
+00:07:52,270 --> 00:07:57,950
+إكس دايفير لأن P واحدة صحية هي يبقى دايفير مادام
+
+82
+00:07:57,950 --> 00:08:04,170
+دايفير يبقى بيمشي أكبر من ولا أقل من .. مع
+
+83
+00:08:04,170 --> 00:08:08,350
+الدايفير يبقى بيمشي أقل ولا أكبر؟ أكبر هيك اللي
+
+84
+00:08:08,350 --> 00:08:14,190
+هالاختبار بيقول يبقى باري بيقول الأتنين ذات كوصين
+
+85
+00:08:14,190 --> 00:08:21,910
+ال X على X أكبر مش عارف منينأكبر من مين؟ أحط واحد
+
+86
+00:08:21,910 --> 00:08:29,010
+ولا تلاتة؟ واحد، اذا تلاتة، ماتعداش التلاتة أصلا،
+
+87
+00:08:29,010 --> 00:08:35,790
+يبقى أكبر من واحد وقد يساويه، تمام؟ الآن هذه
+
+88
+00:08:35,790 --> 00:08:38,830
+التكمل عليها Divergent يبقى ليه أكبر Divergent
+
+89
+00:08:38,830 --> 00:08:45,230
+وخلاص، يبقى باجي بقوله بطل، ولكنتكامل من واحد إلى
+
+90
+00:08:45,230 --> 00:08:55,350
+الانفينيتي لواحد على x dx because ان P تسوى واحد
+
+91
+00:08:55,350 --> 00:08:56,130
+صحيح
+
+92
+00:09:05,930 --> 00:09:11,230
+تكامل من واحد إلى انفنتا دي لان اتنين زائد cosine
+
+93
+00:09:11,230 --> 00:09:20,030
+X على X DX Diverge وانتهينا من هنا شافوي سوف يعطيك
+
+94
+00:09:20,030 --> 00:09:24,870
+نفس السؤال بس سوف اغير الاص تبع ال X ال X هنا الاص
+
+95
+00:09:24,870 --> 00:09:30,600
+تبعها كده؟ سوف اعطيك واحد و نصوشوف هل التكامل هذا
+
+96
+00:09:30,600 --> 00:09:35,640
+converge و لا diverge converge مظبوط يعني بدى نمشي
+
+97
+00:09:35,640 --> 00:09:40,760
+اقل من ولا اكبر من اقل من يبدى بروح بقوله اتنين
+
+98
+00:09:40,760 --> 00:09:46,020
+زاد cosine ال X على X ثلاثة على اتنين اقل من وقد
+
+99
+00:09:46,020 --> 00:09:51,560
+يساوي جدش ثلاثة على X ثلاثة على اتنين ثلاثة مقدار
+
+100
+00:09:51,560 --> 00:09:55,120
+ثابت صفل برا بضل التكامل واحد على X ثلاثة على
+
+101
+00:09:55,120 --> 00:09:56,540
+اتنين converge يبقى
+
+102
+00:10:13,540 --> 00:10:21,360
+السؤال الخامسبيقول يتكامل من اتنين لغاية infinity
+
+103
+00:10:21,360 --> 00:10:28,700
+لمن؟ لل X على الجدرى التربية ل X أس أربعة ناقص
+
+104
+00:10:28,700 --> 00:10:34,650
+واحد في DXبقى دي بقول له هاي ال function اللي
+
+105
+00:10:34,650 --> 00:10:38,690
+عندنا x على الجدرى التربية ل X أقصى أربعة ناقص
+
+106
+00:10:38,690 --> 00:10:44,630
+واحد أنا مش عارف بدي أمشي أقل من ولا أكبر من بقول
+
+107
+00:10:44,630 --> 00:10:49,430
+كويس الباص جاهز المقام شيل الواحدبضل الجدرى
+
+108
+00:10:49,430 --> 00:10:54,470
+التربية على X أُس أربعة اللي هو جداش صار عند X على
+
+109
+00:10:54,470 --> 00:10:59,730
+X التربية يعني جداش واحد على X يعني التكمل عليها
+
+110
+00:10:59,730 --> 00:11:04,630
+diverge من واحد إلى infinity يبقى قدام شيهش أكبر
+
+111
+00:11:04,630 --> 00:11:10,530
+منه يبقى هذه أكبر من X على الجدرى التربية ل X أُس
+
+112
+00:11:10,530 --> 00:11:14,490
+أربعة أيه رأيك بره موافق عليها أيها دي والله كله
+
+113
+00:11:14,490 --> 00:11:21,810
+كلام شيلت بالسالب واحدصح هذه يا شباب؟ خلّوا فيها
+
+114
+00:11:21,810 --> 00:11:30,470
+كويس، هذه أكبر من هذه صحيح؟مظبوط؟ و لا مش مظبوط؟
+
+115
+00:11:30,470 --> 00:11:35,890
+يبقى البسطة أكبرها، يبقى هذه البنية أكبر؟ مية
+
+116
+00:11:35,890 --> 00:11:41,590
+لمية، كل ما يصغر المقام بيكبر الكسب، لكن كبر
+
+117
+00:11:41,590 --> 00:11:47,870
+المقام .. أيوة يعني يا شباب لو كانت هذه زائد بدل
+
+118
+00:11:47,870 --> 00:11:52,630
+النقص كانت، تبقى هذه هيك صحيح؟ لا مش صحيح، بتصير
+
+119
+00:11:52,630 --> 00:11:57,550
+أقل منيبقى المعنى الناقص اكتبتنا هذه السليمة مائة
+
+120
+00:11:57,550 --> 00:12:03,230
+بالمائة يبقى النتيجة x على x تربية يعني واحد على x
+
+121
+00:12:03,230 --> 00:12:09,870
+بقوله بطوة لكن تكامل من اثنين لإنفنت إلى واحد على
+
+122
+00:12:09,870 --> 00:12:19,720
+x dx diverged becauseالسبب ان P تساوي واحد صحيح
+
+123
+00:12:19,720 --> 00:12:26,020
+هذا بده يعطيك by the direct comparison test
+
+124
+00:12:26,020 --> 00:12:31,500
+التكامل من اتنين ل infinity لل X على الجدرى
+
+125
+00:12:31,500 --> 00:12:38,220
+التربية ل X أربعة ناقص واحد DX by VAR طيب السؤال
+
+126
+00:12:38,220 --> 00:12:40,860
+اللي بعد سؤال ستة
+
+127
+00:12:43,290 --> 00:12:50,310
+سؤال ستة بيقول يتكامل من تلاتة ل Infinity للجذر
+
+128
+00:12:50,310 --> 00:12:56,710
+التربيعي للإتنين X تربيع زائد سبعة كله على مين على
+
+129
+00:12:56,710 --> 00:13:02,270
+X تكييب DX يبقى
+
+130
+00:13:02,270 --> 00:13:08,750
+هاي الدالة اللي هو إتنين X تربيع زائد سبعة كله
+
+131
+00:13:08,750 --> 00:13:14,930
+مقسوما على X تكييبعليه البرك، ماعايب ان اشوف
+
+132
+00:13:14,930 --> 00:13:19,480
+هالدالة، هالكبنة السوى فيهاأبناء ما نقول شيل اتنين
+
+133
+00:13:19,480 --> 00:13:23,080
+وشيل السبعة بيبقى الجذر X تربية، اللي هو الجذر دي
+
+134
+00:13:23,080 --> 00:13:28,680
+ايش؟ X وعندك هنا X تكييب، فالواحد على X تربية، كون
+
+135
+00:13:28,680 --> 00:13:34,620
+غيري ولا ضايفان، إذا بدنا نمشي أقل من، يبقى هذه
+
+136
+00:13:34,620 --> 00:13:41,580
+أقل من هذه X تكييب وهذا الجذر التربية إلى الاتنين
+
+137
+00:13:41,580 --> 00:13:48,120
+X تربية، صحيك ولا غلط؟ X تربية بقىمش مشكلة اتنين
+
+138
+00:13:48,120 --> 00:13:50,200
+اكثر بيها، والله اكثر بيها، بتفريقش عند اتنين،
+
+139
+00:13:50,200 --> 00:13:54,860
+ماتأثرش، بس الكتاب دي هيك صح ولا غلط؟ غلط. غلط؟ لأ
+
+140
+00:13:54,860 --> 00:13:58,240
+صحيح الصراحة. الناس يقولوا غيرهم. صحيح صحيح. انا
+
+141
+00:13:58,240 --> 00:14:00,580
+بقوله غلط وكده في حد و بس، مش هان اتناقش احنا و
+
+142
+00:14:00,580 --> 00:14:05,300
+انا بدي واحد بس، ايه؟ بس تجمع دي، بس تجمع اتناقش
+
+143
+00:14:05,960 --> 00:14:10,560
+البصة الأولى يعني أكبر من التانين المقام ثمانية.
+
+144
+00:14:10,560 --> 00:14:16,540
+إذا هذا المقدار أكبر من هذا المقدار وليس أقل، يعني
+
+145
+00:14:16,540 --> 00:14:22,200
+كتابتنا هذه ما لها خلق. طيب، بالذاتي هقولهزائد
+
+146
+00:14:22,200 --> 00:14:26,300
+تمانية، تشير كلامي صح ولا لا؟ صح مية المية، طب
+
+147
+00:14:26,300 --> 00:14:33,000
+زائد تسعة؟ زائد مية، صح، مظبوط، لكن هل حلت
+
+148
+00:14:33,000 --> 00:14:36,320
+الإشكالية السابعة ولا تمانية ولا مية ولا مليون ولا
+
+149
+00:14:36,320 --> 00:14:40,590
+خمس مية؟ ماتحلش الإشكالية بالمرةلكن انا بدي احلي
+
+150
+00:14:40,590 --> 00:14:45,370
+الاشكالية بمعنى بدي اتخلص من الجدر مشان اختصر مع
+
+151
+00:14:45,370 --> 00:14:49,890
+المقال يبقى من حد ما اتجابلك مسألة بهذا الشكل
+
+152
+00:14:49,890 --> 00:14:56,450
+بسيطة الرقم اللي عندك هذا اكتبه بدلالة المتغير
+
+153
+00:14:56,450 --> 00:15:00,330
+اللي عندك هذا وبالتالي بصير مافيش اشكالية خالص
+
+154
+00:15:00,330 --> 00:15:09,950
+يعني بقدر اقول زائد سبعة X تربية صح ولا غلط؟صحيح
+
+155
+00:15:09,950 --> 00:15:14,630
+100% وماحدش الاعتراض كمان، هذا أقل من هذا صحيح،
+
+156
+00:15:14,630 --> 00:15:19,250
+لأن هذا المقدر هو هذا، والسبعة أقل من سبعة X ترجع
+
+157
+00:15:19,250 --> 00:15:24,130
+إلى X من واحد، من تلاتة لمال نهاية، كلها من تلاتة
+
+158
+00:15:24,130 --> 00:15:29,320
+لمال نهاية، إذا لن يحدث تساويلكن لو كان من واحد
+
+159
+00:15:29,320 --> 00:15:34,320
+لما لا نهاية، بيحدث التساوي عند X يساوي واحد، انت
+
+160
+00:15:34,320 --> 00:15:38,920
+لا تنفيش تساوي بالمرة، يفجأي ان حدث الشغل زي اللي
+
+161
+00:15:38,920 --> 00:15:42,480
+توا، بروح، بكتب الرقم اللي عندنا هذا بدلالة
+
+162
+00:15:42,480 --> 00:15:46,620
+المتغير، يبقى صار سبعة X تربية هو الكلام صحيح مائة
+
+163
+00:15:46,620 --> 00:15:51,360
+بالمائة طيب اتنين X تربية وسبعة X تربية، تسعة X
+
+164
+00:15:51,360 --> 00:15:57,370
+تربية يعني بتطلع تلاتة Xتلاتة اكس على اكس تكيب
+
+165
+00:15:57,370 --> 00:16:00,350
+يعني تلاتة على اكس تربية
+
+166
+00:16:06,210 --> 00:16:11,270
+تكامل من تلاتة لإنفينيتي لواحد على X تربية DX
+
+167
+00:16:11,270 --> 00:16:19,330
+Converge السبب because ان T تساوي اتنين اكبر من
+
+168
+00:16:19,330 --> 00:16:24,270
+واحدة الصحيحة هذا بدي اعطيك by the direct
+
+169
+00:16:24,270 --> 00:16:30,610
+comparison test التكامل اللي عندكمن تلاتة لغاية
+
+170
+00:16:30,610 --> 00:16:34,950
+infinity إلى الجدر التربية إلى الإتنين X تربية
+
+171
+00:16:34,950 --> 00:16:42,230
+زائد سبعة على X تكايب DX converge وانتهينا من
+
+172
+00:16:42,230 --> 00:16:42,830
+المثلة
+
+173
+00:16:58,320 --> 00:17:04,200
+طيب هذا كان السؤال السادس خد السؤال السابع السؤال
+
+174
+00:17:04,200 --> 00:17:13,380
+السابع يقول التكامل من zero لغاية pi من zero لغاية
+
+175
+00:17:13,380 --> 00:17:21,760
+pi ل dx على جدر ال x زائد sin x
+
+176
+00:17:26,420 --> 00:17:33,380
+هذا يبقى مدينة دالة لأنها واحد على جدر ال X زائد
+
+177
+00:17:33,380 --> 00:17:37,920
+صين ال X اقرأ الدالة عليها اللي احنا عارفينها واحد
+
+178
+00:17:37,920 --> 00:17:42,800
+على صين ولا واحد على X أص نص واحد على X أص نص ولا
+
+179
+00:17:42,800 --> 00:17:49,360
+واحد على صين واحد على X أص نص يبقى هذه واحد على X
+
+180
+00:17:49,360 --> 00:17:54,540
+أص نص طيب هذه أصغر ولا أكبر من الثانية؟بصيرش في
+
+181
+00:17:54,540 --> 00:17:59,360
+يوم من الأيام أصغر؟ بصير بس احنا مقيدين من وين
+
+182
+00:17:59,360 --> 00:18:02,840
+لوين من الصفر اللي بايعنا الرابع الأول والرابع
+
+183
+00:18:02,840 --> 00:18:06,160
+الثانية الرابع الأول والرابع الثانية ال sign دائما
+
+184
+00:18:06,160 --> 00:18:13,700
+و أبدا موجبة يبقى هذه دائما وأبدا أقل من وقت تساوي
+
+185
+00:18:13,700 --> 00:18:20,790
+واحد على X أص لصمظبوط؟ يبقى هذه أقل من هذه طب
+
+186
+00:18:20,790 --> 00:18:25,390
+التكمل واحد على X أص نص هذا converge ولا ضيوفي؟
+
+187
+00:18:25,390 --> 00:18:31,450
+يعني بنفع شغلي هذا؟ لأن مع ال converge بدأ مشي
+
+188
+00:18:31,450 --> 00:18:34,970
+أكبر منه، مع ال converge بدأ أمشي أقل منه، بنفع
+
+189
+00:18:34,970 --> 00:18:41,790
+شغلي هذا؟ بنفع بس أنت فاهم غلطفهم غلط افتح على
+
+190
+00:18:41,790 --> 00:18:46,870
+النظرية تحت المرة اللي فاتت يالا افتح عليها لتكامل
+
+191
+00:18:46,870 --> 00:18:51,390
+واحد على X to the power P افتح يالا فلعب واطلع
+
+192
+00:18:51,390 --> 00:18:59,110
+فيها تكامل من ايه لوين؟ من ايه لوين؟ وهذا من ايه
+
+193
+00:18:59,110 --> 00:19:04,860
+لوين؟يبقى بطل يصير الكلام تبقى عن نظرية يبقى انت
+
+194
+00:19:04,860 --> 00:19:11,320
+جيت تطبق النظرية تطبيقا خاطئا لأن النظرية بتجلي من
+
+195
+00:19:11,320 --> 00:19:14,860
+عند ال a و ال a جليها تبقى from zero to infinity
+
+196
+00:19:14,860 --> 00:19:19,320
+لكن هذا من غير لوان فكرة صغيرة باسم الصفر الموجود
+
+197
+00:19:19,320 --> 00:19:23,440
+تيجي تجلي على النظرية بيجيش عن نظرية يبقى لك تطبق
+
+198
+00:19:23,440 --> 00:19:27,320
+النظرية تطبيقا صحيحا لازم يكون التكامل عندك من
+
+199
+00:19:27,320 --> 00:19:32,830
+constant ل infinityمش من zero لغاية by طب هل هذا
+
+200
+00:19:32,830 --> 00:19:38,570
+improper integral؟ لا طبعا كيف لا؟ طبعا عند ال by
+
+201
+00:19:38,570 --> 00:19:44,490
+مثلا يبقى عند ال zero على سبيل المثال ال x ب zero
+
+202
+00:19:44,490 --> 00:19:47,270
+و ال sin zero ب zero ده لغة المعرفة يبقى هذا
+
+203
+00:19:47,270 --> 00:19:53,390
+improper integral طيب هذه كمان لحالها ده لك تافي
+
+204
+00:19:53,390 --> 00:19:57,750
+هذه صحيحة مية لميةبس التطبيق اللي يتيح الطبقة على
+
+205
+00:19:57,750 --> 00:20:01,670
+غير تطبيق الخطأ ان هو ده كلام بنفعش طب تعالى نشوف
+
+206
+00:20:01,670 --> 00:20:09,390
+تكامل من zero لغاية بي لواحد على X أص نص DX طبعا
+
+207
+00:20:09,390 --> 00:20:14,890
+عند zero تبقى لغير معرفة مدام غير معرفة يبقى هذا
+
+208
+00:20:14,890 --> 00:20:21,150
+improper integral يبقى تكامل من A إلى بي لما A
+
+209
+00:20:21,150 --> 00:20:27,160
+بدها تروح ل zero من وينمن جهة اليمين ل X أص ناقص
+
+210
+00:20:27,160 --> 00:20:34,780
+نص DX يبقى limit لما ال A بدها تروح لل zero من جهة
+
+211
+00:20:34,780 --> 00:20:42,500
+اليمين تمام لمن؟ لل X أص نص على نص والحاجة هذا من
+
+212
+00:20:42,500 --> 00:20:52,380
+A لغاية بايطيب يساوي اتنين وهذا ال limit لما a بدأ
+
+213
+00:20:52,380 --> 00:21:00,680
+تروح ل zero من جهة اليمين لجذر ال by ناقص جذر ال a
+
+214
+00:21:01,880 --> 00:21:05,760
+هذه المقادرة اللي عندناها الان لما قبلها تروح لل
+
+215
+00:21:05,760 --> 00:21:10,040
+zero يبقى هذا ال term كله بقى dead ب zero نهاية
+
+216
+00:21:10,040 --> 00:21:14,980
+المقدار الثابت بالمقدار الثابت itself يبقى اتنين
+
+217
+00:21:14,980 --> 00:21:20,820
+جاذي اربعي يبقى التكامل هذا معلهconverge وليس
+
+218
+00:21:20,820 --> 00:21:26,720
+perverge كما زعم بعضكم قبل قليل يبقى so تكامل من
+
+219
+00:21:26,720 --> 00:21:34,100
+zero ل باي ل واحد على X أص نص DX convergence مدام
+
+220
+00:21:34,100 --> 00:21:38,000
+convergence يبقى التكامل على الدالة اللي أقل منها
+
+221
+00:21:38,000 --> 00:21:45,100
+convergence فبقى يبقى أقوله باي Z دائرة comparison
+
+222
+00:21:45,100 --> 00:21:54,470
+test التكاملمن zero لغاية باي ل DX على جذر ال X
+
+223
+00:21:54,470 --> 00:22:05,630
+زائد صين ال X converge طب خذي كمان سؤال الثامنسؤال
+
+224
+00:22:05,630 --> 00:22:16,170
+التامن بدنا تكامل من 100 لغاية infinity لل X ناقص
+
+225
+00:22:16,170 --> 00:22:25,970
+تسعة وتسعين على الجذر التربيعي Lexus 5 زائد X زائد
+
+226
+00:22:25,970 --> 00:22:26,970
+واحد DX
+
+227
+00:22:31,640 --> 00:22:35,800
+يا الله فكرلي في السؤال كويس، علشان أشوف كيف الحل
+
+228
+00:22:35,800 --> 00:22:37,520
+تبع هذا السؤال
+
+229
+00:22:55,070 --> 00:23:00,590
+بدا ناخد الدالة اللي عندنا هذا X ناقص تسعة وتسعين
+
+230
+00:23:00,590 --> 00:23:08,510
+على الجذر التربيعي ل X أُس خمسة زائد X زائد واحد
+
+231
+00:23:08,510 --> 00:23:15,090
+هذا السؤال يختلف عن سابقاته ليش؟ لأنك تشتغل في كل
+
+232
+00:23:15,090 --> 00:23:18,830
+من البصد والمقام طب في البداية بدي أعرف أني بدي
+
+233
+00:23:18,830 --> 00:23:23,690
+أمشي أقل من ولا أكبر من بنقول بنشيل التسعة وتسعين
+
+234
+00:23:23,690 --> 00:23:29,960
+بدل ال Xالواحد وال إكس صغار جدا إذا قارنتهم بمن؟
+
+235
+00:23:29,960 --> 00:23:34,240
+بال إكسوس خمسة و اللي بتتحكم في المسألة الكميات
+
+236
+00:23:34,240 --> 00:23:37,720
+الكبيرة زي ما العالم بتتحكم فيه الدول الكبرى،
+
+237
+00:23:37,720 --> 00:23:42,600
+تمام؟ يبقى أحلى من اعتبر أن هذا مش موجود ودول مش
+
+238
+00:23:42,600 --> 00:23:46,360
+موجود، بظل الجذر التربية لإكسوس خمسة يعني إكسوس
+
+239
+00:23:46,360 --> 00:23:51,300
+خمسة على اتنينوعندك فوق واحد ضمن واحدة الـ X يبقى
+
+240
+00:23:51,300 --> 00:23:55,740
+أقل من بدي أمشي لإن واحد تكمل عليها conversion
+
+241
+00:23:55,740 --> 00:24:01,900
+تمام؟ هذه أقل من .. لما يكون عندك شغل في ال bus في
+
+242
+00:24:01,900 --> 00:24:05,240
+المقام، تشغلش متنين مع بعض، يا بتشغل في ال bus
+
+243
+00:24:05,240 --> 00:24:09,840
+أولا ثم المقام، يا بتشغل في المقام أولا ثم ال bus
+
+244
+00:24:09,840 --> 00:24:15,440
+اللي بدك إياه، سياميبقى باجي بقوله هذا X على
+
+245
+00:24:15,440 --> 00:24:21,180
+الجدرى التربية ل X أُس خمسة زائد X زائد واحد،
+
+246
+00:24:21,180 --> 00:24:27,360
+مظبوط كلامنا هنا؟ المقام ثبته وغيرت بس في البصة
+
+247
+00:24:27,790 --> 00:24:33,610
+مظلوم؟ صح لأن البصد أقل من مين؟ من البصد التاني،
+
+248
+00:24:33,610 --> 00:24:41,510
+يبقى بطول هذه أقل منها طيب، هذا أقل من X على الجذر
+
+249
+00:24:41,510 --> 00:24:43,290
+التربيهي الهكسوس 5
+
+250
+00:24:47,730 --> 00:24:53,530
+مظبوط؟ لأن ذاك مقامه أكبر، إذن هذا أقل. هذا سيصبح
+
+251
+00:24:53,530 --> 00:25:00,430
+X على X أس خمسة على اتنين، يعني واحد على X أس
+
+252
+00:25:00,430 --> 00:25:06,060
+ثلاثة على اتنين. بعد ذلك سأقول بعض، لكنالتكامل من
+
+253
+00:25:06,060 --> 00:25:13,740
+100 ل infinity ل 1 على x أُس 3 على 2 dx converge
+
+254
+00:25:13,740 --> 00:25:23,500
+السبب because ان P تساوي 3 على 2 اللي هو أكبر من
+
+255
+00:25:23,500 --> 00:25:30,340
+الواحد الصحيح هذا بده يعطيلك by the direct
+
+256
+00:25:30,340 --> 00:25:38,320
+comparison test التكاملمن مية الى infinity لل X
+
+257
+00:25:38,320 --> 00:25:43,000
+ناقص تسعة وتسعين على الجدر التربيه لExodus خمسة
+
+258
+00:25:43,000 --> 00:25:52,440
+زايد X زايد واحد DX ماله converge طيب بعض الناس
+
+259
+00:25:52,440 --> 00:25:57,860
+بتصعبوا من أكتر الأصغر منه و الأكبر من هذه جيبنا
+
+260
+00:25:57,860 --> 00:26:04,470
+لهم طريقة تانية لاختبار التاني اسمه نمرة اتنينالـ
+
+261
+00:26:04,470 --> 00:26:10,690
+limit comparison test
+
+262
+00:26:10,690 --> 00:26:16,930
+بيقول
+
+263
+00:26:16,930 --> 00:26:29,550
+معاكي if ال if عند ال g are positive continuous
+
+264
+00:26:33,410 --> 00:26:41,510
+فانكشن دوال موجبة ومتاصلة على الفترة من عند ال a
+
+265
+00:26:41,510 --> 00:26:53,690
+لغاية infinity and if وإذا كان limit ال f of x على
+
+266
+00:26:53,690 --> 00:27:02,020
+ال g of x لما ال x tends to infinityبدو يساوي L و
+
+267
+00:27:02,020 --> 00:27:07,600
+ال L هذه أكبر من ال zero أقل من infinity then
+
+268
+00:27:07,600 --> 00:27:15,240
+تكامل من A إلى infinity لل F of X DX and تكامل من
+
+269
+00:27:15,240 --> 00:27:26,840
+A إلى infinity لل G of X DX are both converge or
+
+270
+00:27:26,840 --> 00:27:42,450
+bothبهذه الطريقة اما هذه او تلك مثال تجارب
+
+271
+00:27:42,450 --> 00:27:47,910
+تتبع اتجارات
+
+272
+00:27:47,910 --> 00:27:52,970
+تتبع
+
+273
+00:27:52,970 --> 00:27:56,290
+اتجارات تتبع اتجارات
+
+274
+00:28:00,600 --> 00:28:06,820
+أول تكامل من هذه التكاملات نمرة واحد تكامل من
+
+275
+00:28:06,820 --> 00:28:17,180
+اربعة لغاية infinity لملا لي اتنين DX على X أس
+
+276
+00:28:17,180 --> 00:28:20,720
+تلاتة على اتنين ناقص واحد
+
+277
+00:28:46,010 --> 00:28:49,650
+يبقى انتهينا من اختبار الـ Direct Comparison Test
+
+278
+00:28:49,650 --> 00:28:54,030
+بدنا نيجي للاختبار الثاني وهو الاختبار الأخير في
+
+279
+00:28:54,030 --> 00:28:57,850
+مجموعة اختبارات الـ Improper Integralاللي هو limit
+
+280
+00:28:57,850 --> 00:29:03,430
+comparison test نهاية اختبار المقارنة هذا الاختبار
+
+281
+00:29:03,430 --> 00:29:08,950
+مهم ليش مين اصغر منه ومين اكبر منهبهمنيش مين
+
+282
+00:29:08,950 --> 00:29:12,130
+الدالة اللي أصغر و مين الدالة الأكبر، لكن بهمني
+
+283
+00:29:12,130 --> 00:29:18,350
+انك تخلق دالة من الدالة اللي موجودة و تعمل مقارنة
+
+284
+00:29:18,350 --> 00:29:23,050
+معاها الدالة المخلقة هذه بتكون معروفة بالنسبة لك،
+
+285
+00:29:23,050 --> 00:29:28,370
+هل هي كلهاش أو ضيفهاش مسبقا، طالعش بقول لو كان
+
+286
+00:29:28,370 --> 00:29:33,210
+عندي دلتين افواجي والتنتين كانوا بإشارة موجبةو
+
+287
+00:29:33,210 --> 00:29:37,730
+اتنين دوال متصلة مشان يكون التكامل exist على
+
+288
+00:29:37,730 --> 00:29:42,650
+الفترة هذه بروح باخد الدالة F و الدالة G و بقسم
+
+289
+00:29:42,650 --> 00:29:46,270
+اتنين على بعض و باخد ال X لما تروح لما لا نهاية
+
+290
+00:29:46,270 --> 00:29:52,310
+افترض طلعت نهاية عندي والنهاية طلع رقم الرقم هذا
+
+291
+00:29:52,310 --> 00:29:58,050
+ليس سالبا لأنه دلتين بالموجة فلا يمكن ان يكون سالب
+
+292
+00:29:58,370 --> 00:30:03,490
+أتنين ممنوع يكون صفر، تلاتة ممنوع يكون infinity
+
+293
+00:30:03,490 --> 00:30:08,310
+يبقى بين الصفر والإنفينتي يطلع أي رقم، أيش ما يكون
+
+294
+00:30:08,310 --> 00:30:13,290
+يكون تمام؟ يبقى إن حدث ذلك، يبقى التكامل على
+
+295
+00:30:13,290 --> 00:30:16,570
+الدالة الأولى والتكامل على الدالة التانية، اتنين
+
+296
+00:30:16,570 --> 00:30:23,780
+بيكونوا converge مع بعضالسؤال هو هل يعطيني دلتين
+
+297
+00:30:23,780 --> 00:30:30,220
+في المثال ولا دل واحدة؟يعني يعطيني تكامل على دل
+
+298
+00:30:30,220 --> 00:30:37,150
+واحدةالشغل يذهب ويتجيب دالة تانية ويتخلق دالة
+
+299
+00:30:37,150 --> 00:30:41,050
+تانية من الدالة الموجودة والدالة المخلقة تريد أن
+
+300
+00:30:41,050 --> 00:30:45,890
+تكون معرفة أنت مسبقا هل هي convert و لا diverse
+
+301
+00:30:45,890 --> 00:30:50,950
+وبعد ذلك تمسك الأصلية على الدالة لأنك وبتاخد اللي
+
+302
+00:30:50,950 --> 00:30:55,090
+هم ال limit إذا اللي ما طلع قيمة عددية بين الصفر
+
+303
+00:30:55,090 --> 00:30:59,230
+والمالة نهاية يبقى تكمل على الدالتين زي بعض إذا
+
+304
+00:30:59,230 --> 00:31:03,610
+المخلقة اللي تعرفها convertيبقى الأصلية converge،
+
+305
+00:31:03,610 --> 00:31:08,350
+إذا المخلقة diverse، يبقى الأصلية diverse حلوله هي
+
+306
+00:31:08,350 --> 00:31:13,590
+السفسار هنا قبل ما ندخل على الأمثلة طيب example
+
+307
+00:31:13,590 --> 00:31:19,410
+يبقى أول تكامل هي التكامل اللي عندنا، سؤالنا هو
+
+308
+00:31:19,410 --> 00:31:25,170
+مين أقرب دالة احنا عارفين التكامل عليها converge
+
+309
+00:31:25,170 --> 00:31:31,960
+او diverse لاسم الدالة هذه، لمين؟ممتاز جدا يبقى
+
+310
+00:31:31,960 --> 00:31:37,040
+احنا بنعرف انه تكامل من اربعة الى infinity لواحد
+
+311
+00:31:37,040 --> 00:31:43,260
+على اكس از تلاتة على اتنين DX convert السبب
+
+312
+00:31:43,260 --> 00:31:48,380
+because انه P تساوي تلاتة على اتنين اكبر من واحد
+
+313
+00:31:48,380 --> 00:31:53,260
+على اتنينيبقى امتنانة من جثة التكامل بتروح اخد ال
+
+314
+00:31:53,260 --> 00:31:57,820
+limit يبقى هذه ال limit لما ال x tends to infinity
+
+315
+00:31:57,820 --> 00:32:05,800
+للي 2 على x أز 3 على 2 ناقص 1 تقسيم 1 على x أز 3
+
+316
+00:32:05,800 --> 00:32:12,440
+على 2بعد هيك هذا الكلام يسوي ال limit لما ال X
+
+317
+00:32:12,440 --> 00:32:18,140
+tends to infinity للي اتنين X أس ثلاثة على اتنين X
+
+318
+00:32:18,140 --> 00:32:22,900
+أس ثلاثة على اتنين ماقص واحد قعدنا صيابة المثلة
+
+319
+00:32:22,900 --> 00:32:26,770
+بالشكل اللي قدامنا هذاتعويض المباشر بيجيب ل
+
+320
+00:32:26,770 --> 00:32:31,230
+infinity على infinity يبقى استخدام صلاحياتك ال
+
+321
+00:32:31,230 --> 00:32:35,090
+lobital تجسم كله من البسط والمقام على x أس ثلاثة
+
+322
+00:32:35,090 --> 00:32:41,050
+على اتنين سيان اللي بدك يجه هذا الكلام limit لما
+
+323
+00:32:41,050 --> 00:32:47,630
+ال x tends to infinity ل 2 على 1 x أس ثلاثة على
+
+324
+00:32:47,630 --> 00:32:51,850
+اتنينجسمنا كل من ال bus و المقام على x ثلاثة على
+
+325
+00:32:51,850 --> 00:32:56,770
+اتنين واحد على ملا نهاية ب zero فلا الجواب جداش
+
+326
+00:33:03,560 --> 00:33:11,120
+تبعت المقام تبعت المقام هذي converge إذا تبعت ال
+
+327
+00:33:11,120 --> 00:33:16,620
+bus converge وانتهينا منها يبقى بادي بقوله by the
+
+328
+00:33:16,620 --> 00:33:25,350
+limit comparison testتكامل 2 على x أس 3 على 2 ناقص
+
+329
+00:33:25,350 --> 00:33:32,470
+1 dx من 4 لغاية infinity converge وانتهينا منها،
+
+330
+00:33:32,470 --> 00:33:39,210
+يبقى بالديش مين لا أصغر منه ولا أكبر منه سؤال ثاني
+
+331
+00:33:39,210 --> 00:33:47,150
+يقول لي تكامل من 1 لغاية infinity لل dx على الجذر
+
+332
+00:33:47,150 --> 00:33:49,830
+التربيعي ل 3x زي 1
+
+333
+00:33:53,930 --> 00:33:57,410
+بتخلق ده لو انا كنت عارف اللي هي mean واحد عاد
+
+334
+00:33:57,410 --> 00:34:01,650
+يادر ال X يعني واحد على X أص نص convert ولا
+
+335
+00:34:01,650 --> 00:34:06,830
+diverge؟ diverge يبقى احنا بنعرف تكامل من واحد ل
+
+336
+00:34:06,830 --> 00:34:14,030
+infinity لواحد على X أص نص DX هذي diverge because
+
+337
+00:34:14,030 --> 00:34:20,940
+P يساوي النص أقل من الواحد الصحيحبتروح اخد limit
+
+338
+00:34:20,940 --> 00:34:25,940
+لما ال X tends to infinity ل 1 على الجدر التربية ل
+
+339
+00:34:25,940 --> 00:34:36,470
+3X زي 1 تقسيم 1 على الجدر Xيبقى هذا ال limit لما
+
+340
+00:34:36,470 --> 00:34:41,170
+ال x tends to infinity لجدر ال x على الجدر
+
+341
+00:34:41,170 --> 00:34:46,790
+التربيعي ل 3x زيادة واحد او ان شئتم فاقولوا ال
+
+342
+00:34:46,790 --> 00:34:51,210
+limit لما ال x tends to infinity بدي اخليه جدر
+
+343
+00:34:51,210 --> 00:34:56,820
+واحد على 3x زيادة واحدمش عاجبك و بس ال limit معاها
+
+344
+00:34:56,820 --> 00:35:02,560
+صلاحيات الدخول داخل ال geodor يتجا limit لما ال x
+
+345
+00:35:02,560 --> 00:35:10,710
+tends to infinity لل x على 3x زائد 1طبعا التعاوض
+
+346
+00:35:10,710 --> 00:35:15,970
+المباشر بيجيب لي ما لا نهاية على ما لا نهاية يبقى
+
+347
+00:35:15,970 --> 00:35:20,790
+الـ Lobital Rule أو نقص البص والمقام على X يبقى
+
+348
+00:35:20,790 --> 00:35:26,970
+النتيجة الجذر التربيهي الواحد على جداش على تلاتة
+
+349
+00:35:26,970 --> 00:35:32,990
+يعني واحد على جذر التلاتة رقم محصور بين Zero و
+
+350
+00:35:32,990 --> 00:35:39,940
+Infinity يبقى باجي بقوله هنا بايThe Limit
+
+351
+00:35:39,940 --> 00:35:47,680
+Comparison Test التكامل من واحد لإنفينيتي لديكس
+
+352
+00:35:47,680 --> 00:35:52,020
+على الجدري التربية تلاتيكس زي الواحد ماله، by
+
+353
+00:35:52,020 --> 00:35:57,660
+where؟ هذا واحد كان يفكر غير تفكيرنا هذا، قلنا له
+
+354
+00:35:57,660 --> 00:36:01,890
+أيوةقال لي أنا أريد أن أحل بالـ Direct، لا أريد أن
+
+355
+00:36:01,890 --> 00:36:05,310
+أحل بالـ Limit، لم نستطيع أن نقول له لا، لكننا كل
+
+356
+00:36:05,310 --> 00:36:08,190
+الموضوع موضوعنا الـ Limit Comparison، حلناه بالـ
+
+357
+00:36:08,190 --> 00:36:11,150
+Limit Comparison، لكنه لو راح في الـ Ham الشيخ
+
+358
+00:36:11,150 --> 00:36:18,050
+وقال لي واحد على الجدر التربية ل 3X زي 1 أكبر من
+
+359
+00:36:18,050 --> 00:36:25,590
+واحد على الجدر التربية ل 3X زي X وقد يساويه عند
+
+360
+00:36:25,590 --> 00:36:32,490
+الواحد، مصبور؟هذا أكبر منه و قد يساوي هذا يعني هذا
+
+361
+00:36:32,490 --> 00:36:39,190
+واحد على اتنين اكس و اص نص تلات اكس زاد اكس باربع
+
+362
+00:36:39,190 --> 00:36:43,010
+اكس تطلع من تحت الجلد بتكون اصلا التكامل هذا by
+
+363
+00:36:43,010 --> 00:36:47,300
+variable أكبر منهتكامل عليها by virtue وانتهينا
+
+364
+00:36:47,300 --> 00:36:51,600
+منها يبقى اي حل بطريقة من الدائرة ال comparison
+
+365
+00:36:51,600 --> 00:36:55,900
+test وليس بطريقة ال limit comparison test اجي واحد
+
+366
+00:36:55,900 --> 00:37:00,160
+تالي قال لي انا ماقدر اكملها و بدي اروح احله بدون
+
+367
+00:37:00,160 --> 00:37:04,120
+التكامل و بديش استخدم لاختبارات اتنين اقوله مافيش
+
+368
+00:37:04,120 --> 00:37:08,110
+مشكلةبقدر يكملها وبالتالي التكامل هيطلع عنده ايش
+
+369
+00:37:08,110 --> 00:37:12,710
+كذلك؟ By-Variable طب سؤالنا هو لو استخدمنا اختبار
+
+370
+00:37:12,710 --> 00:37:16,930
+وطلع converge وروحنا استخدمنا اختبار تاني وطلع by
+
+371
+00:37:16,930 --> 00:37:23,630
+-variable يكون فيه خطأ في احدى الحلين لازم بأي
+
+372
+00:37:23,630 --> 00:37:27,570
+اختبار اشتغلنا شغل سياطلة converge بطريقة تانية
+
+373
+00:37:27,570 --> 00:37:32,300
+بده يطلع convergeمش مرة convergent ومرة divergent،
+
+374
+00:37:32,300 --> 00:37:36,060
+تلاعب، لا لا فيش منها هذا الكلام، طيب فهذا كان
+
+375
+00:37:36,060 --> 00:37:41,920
+المثال رقم اثنين، بدنا نروح للمثال رقم تلاتة مثال
+
+376
+00:37:41,920 --> 00:37:48,100
+رقم تلاتة بيقول يتكامل من واحد إلى infinity لtan
+
+377
+00:37:48,100 --> 00:37:54,730
+inverse x على x تربية dxمن أقنع الدالة على هذه
+
+378
+00:37:54,730 --> 00:37:57,710
+الدالة ممكن نقارن معاها و يكون التكامل عليها
+
+379
+00:37:57,710 --> 00:38:04,370
+معروف؟ 1 على X تربية يبقى احنا عندنا تكامل من 1
+
+380
+00:38:04,370 --> 00:38:11,680
+إلى infinity ل 1 على X تربية DX converge السبببسبب
+
+381
+00:38:11,680 --> 00:38:17,980
+أن P تسوى 2 أكبر من الواحد الصحيح إذا بنروح ناخد
+
+382
+00:38:17,980 --> 00:38:25,760
+limit لما X tends to infinity لتان inverse X على
+
+383
+00:38:25,760 --> 00:38:32,160
+مين؟ على X تربية تقسيم واحد على X تربية اللي هي
+
+384
+00:38:32,160 --> 00:38:38,060
+بدأ تسوى limit لما ال X tends to infinity بس لتان
+
+385
+00:38:38,060 --> 00:38:43,950
+inverse XX تربيه هتطلع فوق تختصر مع تبع المقام
+
+386
+00:38:43,950 --> 00:38:50,650
+بيظل بس 10 inverse X عند الملانة هذي بيجي بي على 2
+
+387
+00:38:50,650 --> 00:38:55,310
+يبجي أساوة رقم بيقوله بال limit comparison test
+
+388
+00:38:55,310 --> 00:39:00,590
+الدالة التانية هذي convert يبجي باجي بقوله بي ل
+
+389
+00:39:00,980 --> 00:39:07,300
+Limit Comparison Test التكامل من واحد إلى انفينيتي
+
+390
+00:39:07,300 --> 00:39:13,800
+لتان انفرس X على X تربية DX Converge وانتهينا منها
+
+391
+00:39:13,800 --> 00:39:18,680
+.أجي واحد قال لأ أنا بحله بال comparison بالدار ال
+
+392
+00:39:18,680 --> 00:39:23,140
+comparison وليس بال limit comparison قلت له كيف؟
+
+393
+00:39:23,140 --> 00:39:31,870
+قال لي هاي تان انفرس X على مين؟ على X تربيةهذه هي
+
+394
+00:39:31,870 --> 00:39:37,610
+10 inverse X عند المرنة أقصى ما يمكن، فهذه بيصير
+
+395
+00:39:37,610 --> 00:39:43,890
+πاية على اتنين، إذا هذه أقل من باية على اتنين
+
+396
+00:39:43,890 --> 00:39:47,710
+عليكس ربيع، باية على اتنين هذا كله صارت برة
+
+397
+00:39:47,710 --> 00:39:50,270
+التكامل وصير واحد عليكس ربيع التكامل هذا ال
+
+398
+00:39:50,270 --> 00:39:54,350
+converge يبقى أصغر منها converge وانتهينا من وين
+
+399
+00:39:54,350 --> 00:39:57,130
+من هذه المسألة
+
+400
+00:40:11,550 --> 00:40:17,950
+طيب هذا كان السؤال التالت خد السؤال الرابع السؤال
+
+401
+00:40:17,950 --> 00:40:26,270
+الرابع بيقول لي تكامل من واحد إلى infinity ل dx
+
+402
+00:40:26,270 --> 00:40:33,930
+على الجذر التربية إلى x تربية ناقص x زائد واحدمين
+
+403
+00:40:33,930 --> 00:40:39,470
+أقرأ الدالة على هذه الدالة؟واحد على X تربية تحت
+
+404
+00:40:39,470 --> 00:40:44,870
+الجدر يعني جداش واحد على X الان تكامل من واحد ل
+
+405
+00:40:44,870 --> 00:40:52,950
+infinity لواحد على X DX diverge because ان P يسوى
+
+406
+00:40:52,950 --> 00:40:58,450
+واحد صحيح اذا بدنا نروح ناخد ال limit لما ال X
+
+407
+00:40:58,450 --> 00:41:03,610
+tends to infinity لواحد على الجدر التربية لناقص X
+
+408
+00:41:03,610 --> 00:41:09,970
+زائد واحدتقسيم 1 على x يبقى limit لما ال x تنسى
+
+409
+00:41:09,970 --> 00:41:15,190
+infinity لل x على الجدرد تربية ل x تربية ناقص x
+
+410
+00:41:15,190 --> 00:41:24,580
+زائد 1بنروح نقسم كل من ال bus و المقام على كم؟ على
+
+411
+00:41:24,580 --> 00:41:30,360
+x لإن الجدرى التربية على x تربية هي بx وهي أكبر أس
+
+412
+00:41:30,360 --> 00:41:35,040
+موجود في المقام يبقى هذه تساوي ال limit لما ال x
+
+413
+00:41:35,040 --> 00:41:41,810
+تنسون من x على x كم؟ بواحد على الجدرى التربيةأكس
+
+414
+00:41:41,810 --> 00:41:46,830
+لما دخلها تحت الجبهة تدخل أكس تربيع يبقى بيصير
+
+415
+00:41:46,830 --> 00:41:51,970
+واحد ناقص واحد على أكس زائد واحد على أكس تربيع
+
+416
+00:41:56,210 --> 00:42:01,450
+يبقى التنتين هذول زي بعض يبقى باجي بقوله by the
+
+417
+00:42:01,450 --> 00:42:08,570
+limit comparison test التكامل من 1 ل infinity ل dx
+
+418
+00:42:08,570 --> 00:42:13,490
+على الجدرى التربية ل x تربية ناقص x زي 1 مالها
+
+419
+00:42:13,490 --> 00:42:20,760
+diverseطب ايش رأيك واحد جلن بحله بال comparison؟
+
+420
+00:42:20,760 --> 00:42:27,880
+حل زي ما بدك مافيش قيود يبقى واحد على الجدر
+
+421
+00:42:27,880 --> 00:42:33,780
+التربية الى X تربية ناقص X زائد واحد شيل اتنين
+
+422
+00:42:33,780 --> 00:42:38,520
+هدول بيبقوا واحد على X داي فير يبقى بدي امشي اكبر
+
+423
+00:42:38,520 --> 00:42:44,720
+من واحد على الجدر التربية الى X تربية X صح كلامي؟
+
+424
+00:42:46,570 --> 00:42:51,930
+هذا أكبر من هذا، مظبوط؟ لا مش مظبوط، مش صحيح، طب
+
+425
+00:42:51,930 --> 00:43:01,110
+قولي هذا ناقص X صح كلامي؟ لازم غلط، طبعا، طيب لو
+
+426
+00:43:01,110 --> 00:43:07,740
+جيت قول زائد Xوهذا التكامل عند الواحد ممكن يحصل
+
+427
+00:43:07,740 --> 00:43:12,460
+التساوي عند الواحد تمام؟ هي الكلام سليم مئة بالمئة
+
+428
+00:43:12,460 --> 00:43:20,700
+بدل الواحد روحت كتبت X يبقى هنا بتروح هادي مع هادي
+
+429
+00:43:20,700 --> 00:43:25,740
+وفضل واحد على جذر X تربية اليومين واحدة ال X هادي
+
+430
+00:43:25,740 --> 00:43:29,160
+بايفيريا التكامل عليها إذا هادي بايفيريا
+
+431
+00:43:31,890 --> 00:43:36,230
+كيف؟ لأ لأ لأ لأ انت حر استخدم الطريقة اللي بدك
+
+432
+00:43:36,230 --> 00:43:42,650
+إياها كل اللي بنقدر نقوله decide قرر هل التكامل
+
+433
+00:43:42,650 --> 00:43:46,490
+يتالي converge و لا diverge تستخدم اختبار الأول
+
+434
+00:43:46,490 --> 00:43:55,930
+اختبار التاني التكامل انت حر هذا الشأن المثال
+
+435
+00:43:55,930 --> 00:44:03,490
+الخامسالمثال الخامس تكامل من واحد إلى infinity
+
+436
+00:44:03,490 --> 00:44:12,490
+لواحد على E أُس X ناقص اتنين أُس X DX أقرب دالة
+
+437
+00:44:12,490 --> 00:44:18,310
+على هذه الدالة تكامل من واحد infinity لواحد على E
+
+438
+00:44:18,310 --> 00:44:23,390
+أُس X DX هذه اظنت convergence من المرة اللي فاتت
+
+439
+00:44:24,070 --> 00:44:31,170
+يبقى هذه convert a previous example
+
+440
+00:44:33,070 --> 00:44:38,750
+يبقى بنروح ناخد limit لما ال X tends to infinity
+
+441
+00:44:38,750 --> 00:44:47,810
+لمين؟ ل 1 على E of 6 نقص 2 أُس X تقسيم 1 على E of
+
+442
+00:44:47,810 --> 00:44:55,050
+6 X بدأ تروح لل infinity لل E of 6 على ال E of 6
+
+443
+00:44:55,050 --> 00:45:00,210
+نقص 2 أُس X تمام؟
+
+444
+00:45:01,040 --> 00:45:06,240
+يبقى هذا الكلام بده يساوي ال limit لما ال X tends
+
+445
+00:45:06,240 --> 00:45:11,180
+to infinity انجسم البسط والمقام على E أس X والع
+
+446
+00:45:11,180 --> 00:45:18,740
+تنين أس X لأن هي الأكبر، مظبوط؟ يبقى بصير عندك
+
+447
+00:45:18,740 --> 00:45:26,900
+واحد على واحد زائدي اتنين على E كل أس Xهذا بقداش
+
+448
+00:45:26,900 --> 00:45:31,200
+ال limit له ناقص الlimit مش مشكلة مش مشكلة مش
+
+449
+00:45:31,200 --> 00:45:32,040
+مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة
+
+450
+00:45:32,040 --> 00:45:32,300
+مش مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة مش
+
+451
+00:45:32,300 --> 00:45:34,040
+مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة
+
+452
+00:45:34,040 --> 00:45:36,340
+مش مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة مش
+
+453
+00:45:36,340 --> 00:45:36,360
+مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة
+
+454
+00:45:36,360 --> 00:45:36,520
+مش مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة مش
+
+455
+00:45:36,520 --> 00:45:54,020
+مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة مش مشكلة
+
+456
+00:45:54,020 --> 00:45:59,320
+مشالتكامل من واحد الى infinity لواحد عليه ال six
+
+457
+00:45:59,320 --> 00:46:05,080
+ناقص اتنين وال six DX ماله converge وانتهينا من
+
+458
+00:46:05,080 --> 00:46:11,380
+الرسلة إليكم أرقام المسائلالمطلوب حلها من section
+
+459
+00:46:11,380 --> 00:46:17,700
+تمانية سبعة تمانية سبعة من واحد لخمسة وستين القدر
+
+460
+00:46:17,700 --> 00:46:24,560
+يبقى exercises تمانية سبعة من واحد لغاية خمسة
+
+461
+00:46:24,560 --> 00:46:26,840
+وستين القدر
+
+462
+00:46:29,930 --> 00:46:35,510
+هنا لحد هنا انتهت المحاضرة وبالتالي انتهى هذا ال
+
+463
+00:46:35,510 --> 00:46:39,750
+section بالمرة الجاية ان شاء الله بنبدأ الشبتر
+
+464
+00:46:39,750 --> 00:46:41,750
+اللي جديد الشبتر عشرة
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/GF6rsozA6xI.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/GF6rsozA6xI.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9d9a7a832c862c645c271f288fee07743575a022
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/GF6rsozA6xI.srt
@@ -0,0 +1,2171 @@
+1
+00:00:10,020 --> 00:00:16,800
+بسم الله الرحمن الرحيم، نرحب بكم في بداية هذا الفصل
+
+2
+00:00:16,800 --> 00:00:22,840
+الجديد، وهو الفصل الثاني إن شاء الله، هندرس مع بعض
+
+3
+00:00:22,840 --> 00:00:28,040
+اللي متفاضل ومتكامل بيه، أنت طبعًا درست إيه بجبايجي
+
+4
+00:00:28,040 --> 00:00:28,840
+بقول هنا
+
+5
+00:00:33,610 --> 00:00:45,690
+Calculus بأم Math بألف وأربعين وواحد هذا
+
+6
+00:00:45,690 --> 00:00:49,530
+طبعًا اسم الكتاب، اسم المؤلف هو اللي درست منه
+
+7
+00:00:49,530 --> 00:00:56,710
+calculus إيه بالضبط تمامًا اللي هو Thomas المؤلف
+
+8
+00:00:56,710 --> 00:00:57,390
+في الكتاب
+
+9
+00:01:00,330 --> 00:01:06,670
+«عالم أف إديشن»
+
+10
+00:01:06,670 --> 00:01:08,670
+وبالتابعات، خانية عشرة
+
+11
+00:01:12,710 --> 00:01:17,730
+وبهذا بالنسبة للمساق، بالنسبة للمؤلف، بالنسبة لميل
+
+12
+00:01:17,730 --> 00:01:22,930
+لا، رقم الطبع، أنت لو روحت المكتب هتلاقي مؤلفين
+
+13
+00:01:22,930 --> 00:01:26,930
+آخرين وبالتالي يعتبر كل كتب اللي هتلاقي بالكتاب
+
+14
+00:01:26,930 --> 00:01:31,900
+عشر كتب، كلها تعتبر مراجعة، روح على المكتبة
+
+15
+00:01:31,900 --> 00:01:36,700
+إلكترونيًا أو فعليًا، زور المكتبة واتفرج عليها كده
+
+16
+00:01:36,700 --> 00:01:41,960
+ويمكن أن تستعمل أي كتاب لزيادة المعلومات إن شاء
+
+17
+00:01:41,960 --> 00:01:48,190
+الله تعالى، واضح كلامي؟ طيب، الآن  أُذكّركم لأن بعد ما
+
+18
+00:01:48,190 --> 00:01:51,330
+درستم الفصل الأول في الجامعة، انتقلتم إلى الفصل
+
+19
+00:01:51,330 --> 00:01:56,090
+الثاني وبالتالي صار عندنا خبرة في الدراسة الجامعية
+
+20
+00:01:56,090 --> 00:02:00,070
+ووجدنا أنها تختلف كليًا عن الدراسة في المرحلة
+
+21
+00:02:00,070 --> 00:02:05,770
+الثانوية، إذا صار عندنا خبرة في كيفية الدراسة في
+
+22
+00:02:05,770 --> 00:02:11,530
+الجامعة، وهذا الشيء أساسي، بحب أذكر ما قلت في بداية
+
+23
+00:02:11,530 --> 00:02:16,750
+الفصل الأول لأن لأن هو الأساس اللي إيه بدنا نشتغل
+
+24
+00:02:16,750 --> 00:02:22,390
+عليه، لأن كيف بدنا ندرس دراسة صحيحة ونجيب علامة
+
+25
+00:02:22,390 --> 00:02:27,010
+عالية، طبعًا المادة أنت عارفين أربع ساعات، وهذه بترفع
+
+26
+00:02:27,010 --> 00:02:31,930
+المعدل بدرجة كبيرة، يا بتنزلوا بدرجة كبيرة يعني
+
+27
+00:02:31,930 --> 00:02:37,830
+مقدّشة، بتنزل جهد، بتلاقي علاماتك، لأن بدنا نشوف كيف
+
+28
+00:02:37,830 --> 00:02:43,610
+بدنا ندرس دراسة صحيحة، نقطة الأولى، ياريت تتحضر المادة
+
+29
+00:02:43,610 --> 00:02:47,590
+قبل ما تيجي على الجامعة، يعني المحاضرة اللي بنشرحها
+
+30
+00:02:47,590 --> 00:02:53,050
+تكون جاريها، مارر عليها، موضوع زي قراءة الجريدة، يكون
+
+31
+00:02:53,050 --> 00:02:57,210
+عندك خلفية بس عن الكلام اللي بدنا نقوله، طبعًا أنت
+
+32
+00:02:57,210 --> 00:03:00,670
+لما تجري الجريدة، بتأخذش كل حاجة فيها، لكن العناوين
+
+33
+00:03:00,670 --> 00:03:05,230
+الرئيسية بضل مطموعة في دماغك، إذا احنا بدنا نحاول
+
+34
+00:03:05,230 --> 00:03:08,930
+يكون عندنا خلفية على الموضوع قبل ما المدرس يلي
+
+35
+00:03:08,930 --> 00:03:14,330
+يشرح هذه المادة، بعد ما درسنا هذه في البيت، جينا هنا
+
+36
+00:03:14,330 --> 00:03:19,870
+للمحاضرة، بدي أكيد كنت المحاضرة قاعد فعليًا وليس
+
+37
+00:03:19,870 --> 00:03:25,890
+شكليًا، شكليًا يعني قاعد لك المخ أكبر شغال في أبصريش
+
+38
+00:03:25,890 --> 00:03:31,710
+إذا هذا ما بستفيدش ولا شيء، لكن موجود فعليًا، موجود
+
+39
+00:03:31,710 --> 00:03:36,010
+على أرض الواقع، والمخ متابع مع من مع المدرس، يتابع ما
+
+40
+00:03:36,010 --> 00:03:41,840
+يقول وينقش ونحو ذلك، يبقى هذه شغلة أساسية بالنسبة
+
+41
+00:03:41,840 --> 00:03:48,200
+للطالب حتى يستفيد من خلال حضورنا لهذه المدة، طيب
+
+42
+00:03:48,200 --> 00:03:53,440
+حضرنا وتبعنا المحاضرة، النقطة الأولى حضرنا، النقطة
+
+43
+00:03:53,440 --> 00:03:57,180
+الثانية تابعنا في المحاضرة، النقطة الثالثة أخدنا
+
+44
+00:03:57,180 --> 00:04:01,880
+المحاضرة واحدة على البيت، بروح نجريها المحاضرة و
+
+45
+00:04:01,880 --> 00:04:07,300
+نجري الأمثلة، الأمثلة تطبيق على الجزء النظري اللي
+
+46
+00:04:07,300 --> 00:04:12,380
+بيجي خلال المحاضرة، إذا أنت اكتفيت بهذا الكلام وبس
+
+47
+00:04:12,380 --> 00:04:19,180
+معناته أنت ما درستش دراسة صحيحة، طب هاكملوا دراسة
+
+48
+00:04:19,180 --> 00:04:25,700
+صحيحة، بدك تشتغل لوحدك، يعني تمسك هالجلم وتبدأ تحل
+
+49
+00:04:25,700 --> 00:04:31,600
+المسائل اللي كالتك بيحلها، طبعًا لن يحدث عندك علم
+
+50
+00:04:31,600 --> 00:04:37,050
+إلا إذا مسكت الجلم واشتغلت، تقول الله تبارك وتعالى
+
+51
+00:04:37,050 --> 00:04:42,270
+بسم الله الرحمن الرحيم في سورة القلم، نون والقلم
+
+52
+00:04:42,270 --> 00:04:48,830
+وما يسترون، يبقى نظرًا لأهمية القلم في التعليم أقسم
+
+53
+00:04:48,830 --> 00:04:55,230
+الله تبارك وتعالى بالقلم، قال نون والقلم، ماجلش وما
+
+54
+00:04:55,230 --> 00:05:01,970
+يكترون، فقال وما يسترون، لكلمة يسترون أبلغ من كلمة
+
+55
+00:05:02,310 --> 00:05:06,030
+يكتبوا، كتابة، يعني أنت بتكتب، لكن أنا ممكن أسطر و
+
+56
+00:05:06,030 --> 00:05:10,850
+أرسم وأكتب، إذا وما يسطرون وما يكتبون وما يرسمون
+
+57
+00:05:10,850 --> 00:05:15,070
+وما يشكلون من أشكال إلى آخرين، يبقى من هنا كانت
+
+58
+00:05:15,070 --> 00:05:20,590
+أبلغ، والله سبحانه وتعالى قال في سورة العلق، اقرأ
+
+59
+00:05:20,590 --> 00:05:26,090
+باسم ربك الذي خلق، خلق الإنسان من علق، اقرأ وربك
+
+60
+00:05:26,090 --> 00:05:34,270
+الأكرم الذي علم بالقلم، وإذا القلم هي الوسيلة
+
+61
+00:05:34,270 --> 00:05:40,170
+الأساسية في التعليم، يبقى أنت بدك تمسك القلم وبدك
+
+62
+00:05:40,170 --> 00:05:44,710
+تروح تحل مسائل لوحدك، هيك بصير عندك علم، لكن بدك
+
+63
+00:05:44,710 --> 00:05:50,070
+تكتفي بـ جرأ قراءة نظرية، أنت صار عندك معلومات لكن
+
+64
+00:05:50,070 --> 00:05:54,310
+المعلومات هذه مش كتير، مش ثابتة في المخ، لكن لما
+
+65
+00:05:54,310 --> 00:05:59,550
+تشتغل تلزج عندك وكتال بصير من أهل الدراية وأهل
+
+66
+00:05:59,550 --> 00:06:05,170
+العلم، طيب درسنا وحلينا المسائل، لكن لما حلينا
+
+67
+00:06:05,170 --> 00:06:10,430
+المسائل صعبت علينا شوية، مسائل عايزة ساعة discussion
+
+68
+00:06:10,430 --> 00:06:14,990
+مناقشة مع المعيد، باجي أنا على ساعة الـ discussion
+
+69
+00:06:14,990 --> 00:06:21,350
+هذه وبروح بحضر الـ discussion، بتلزّم بالوقت المحدد
+
+70
+00:06:22,390 --> 00:06:26,050
+أنت اللي بدك تشغل المعيد، مش المعيد اللي يشغلك، طب
+
+71
+00:06:26,050 --> 00:06:29,750
+كيف أنت بدك تشغل المعيد؟ إذا كنت حالل في الدار
+
+72
+00:06:29,750 --> 00:06:34,050
+يبقى أنت محضر الأسلوب تسأله، لكن إذا كنت مش حالل في
+
+73
+00:06:34,050 --> 00:06:38,230
+الدار، إيش ما يكتب على اللوح وترسم زيه، ترسم رسم
+
+74
+00:06:38,230 --> 00:06:42,330
+على اللوح، واستيعابك الله أعلم فيه، لكن لما تكون
+
+75
+00:06:42,330 --> 00:06:47,140
+أنت محضر وحالل، الموضوع مختمر في دماغك وأنت فاهمه
+
+76
+00:06:47,140 --> 00:06:51,960
+تمامًا، فأنت روحت تسأله الأسئلة التي صعبت عليك
+
+77
+00:06:51,960 --> 00:06:57,580
+وبالتالي أنت استفدت، طيب نفترض أن احنا ما قدرناش
+
+78
+00:06:57,580 --> 00:07:03,320
+نناقش كل الأسئلة أثناء ساعة الـ discussion اللي
+
+79
+00:07:03,320 --> 00:07:08,380
+موجودة خلال الأسبوع، قدامك طريقين، يا بروح للمعيد على
+
+80
+00:07:08,380 --> 00:07:14,000
+مكتبه وبأسأله، يا بتجيني أنا في الساعة المكتبية أو
+
+81
+00:07:14,000 --> 00:07:18,040
+غير المكتبية، لو وجدتني، لو وجدت في الساعة المكتبية
+
+82
+00:07:18,040 --> 00:07:22,200
+ملتزم بوجودي في المكتب، أستناك، بتجي أهلًا وسهلًا، بتجيش
+
+83
+00:07:22,200 --> 00:07:26,720
+بصير أنت على كيفك، وأنا الطالب اللي بيجي بيسألني
+
+84
+00:07:26,720 --> 00:07:30,380
+أحب إلى نفسي من الطالب اللي بيجيش يسأل، لأن اللي
+
+85
+00:07:30,380 --> 00:07:34,600
+بيسأل بعرف أن هو ده بيشتغل، لكن اللي بيجيش يسأل ما أنت
+
+86
+00:07:34,600 --> 00:07:39,480
+بيشتغلش ولا بيحل ولا بيسوي عجب، يبقى هذا الطالب زي
+
+87
+00:07:39,480 --> 00:07:43,540
+ما فهمه ضال، فهمه محدود، لكن لما تحتك في المدرس
+
+88
+00:07:43,540 --> 00:07:48,880
+تروح له على المكتب تسأله، تناقشه، حتى بتوسع ذهنك
+
+89
+00:07:48,880 --> 00:07:52,900
+اسألني كمان في خلال المحاضرة، ما عندي مانع أنا أسْرَح
+
+90
+00:07:52,900 --> 00:07:58,160
+من الطالب اللي يسأل، لأنه فهم وبالتالي أشكلت عليه
+
+91
+00:07:58,160 --> 00:08:02,680
+بعض الأمور فبيجوّم وبيسأل فيها، وبالتالي بتكون أنت مش
+
+92
+00:08:02,680 --> 00:08:07,980
+أفدت نفسك، أفدت عشرين طالب زيك، من خلال مين؟ من خلال
+
+93
+00:08:07,980 --> 00:08:14,040
+السؤال اللي بتسألوا، والمناقشة ضرورية جدًا لمين؟
+
+94
+00:08:14,040 --> 00:08:20,880
+للتعليم، أخي لن تنال العلم إلا بستة، سأنبئك عن
+
+95
+00:08:20,880 --> 00:08:28,260
+تأويلها ببياني ذكاء، وطبعًا هذا موزع على الإنسان زي
+
+96
+00:08:28,260 --> 00:08:32,760
+الأرزاق، واحد قابل كمية، تانية صحيح، وطبعًا درجات
+
+97
+00:08:32,760 --> 00:08:38,200
+بصير متفاوتة وصعبة، لكن وحارسهم حريص على التعليم
+
+98
+00:08:38,200 --> 00:08:43,620
+واجتهادهم، بدك تجتهد في الأمور اللي صعبة عليك حتى
+
+99
+00:08:43,620 --> 00:08:48,940
+تصل لها، وبلغة اللي هو البلوغ إلى مين؟ إلى الهدف
+
+100
+00:08:48,940 --> 00:08:56,640
+يبقى ذكاء وحرص واجتهاد وبلغة وصحبة أستاذ وطول زمان
+
+101
+00:08:56,640 --> 00:09:00,300
+صحبة الأستاذ، مستهدف سيجارة وخد سيجارة ولا تشحت
+
+102
+00:09:00,300 --> 00:09:04,180
+مسكلتك ويركب عليه وروح لمشواره، صحبة الأستاذ هو
+
+103
+00:09:04,180 --> 00:09:09,460
+الذهاب للمدرس والسؤال وجابك، وبالتالي أنت يا أستاذ
+
+104
+00:09:09,460 --> 00:09:14,080
+ثاني أن هذه هي صحبة الأستاذ، وطول زماني، يبقى ذكاء
+
+105
+00:09:14,080 --> 00:09:21,420
+وحرص واجتهاد وبلغة وصحبة أستاذ وطول زماني، هيك
+
+106
+00:09:21,420 --> 00:09:26,740
+بصير من أهل الدراية وأهل العلم، طيب ذهبنا للمعيد
+
+107
+00:09:26,740 --> 00:09:31,610
+على مكتبه وما لاقيناش؟ ذهبت إليه وما لقيتنيش في غير
+
+108
+00:09:31,610 --> 00:09:34,930
+الساعة المكتبية، لقيتني في الساعة المكتبية واللي
+
+109
+00:09:34,930 --> 00:09:38,810
+في غير المكتبية، بجاوبك، تخجلش تعالي في أي وقت، لكن
+
+110
+00:09:38,810 --> 00:09:41,770
+في الساعة المكتبية أنا ملتزم أكون قاعد وياه في
+
+111
+00:09:41,770 --> 00:09:46,890
+المكتب في انتظارك، طيب روحنا وسألنا وكل شيء تمام
+
+112
+00:09:46,890 --> 00:09:51,310
+كل الأمور هذه اللي نفذناها بحذافرية، ضايق للامتحان
+
+113
+00:09:51,310 --> 00:09:57,340
+أسبوع والله عشر أيام، مثلًا، مطلوب أنك تروح على
+
+114
+00:09:57,340 --> 00:10:01,500
+المكتبة، الطالب، وتطبق اللي هو نماذج من الامتحانات
+
+115
+00:10:01,500 --> 00:10:08,760
+السابقة، مشان تعرف كيف الممتحن بيفكر في وضع الأسئلة
+
+116
+00:10:08,760 --> 00:10:14,450
+كيف بيربط المواضيع مع بعضها البعض، هيك بصير عندك
+
+117
+00:10:14,450 --> 00:10:19,690
+دراية حتى بكيفية وضع الأسئلة، وبالتالي أنت لا
+
+118
+00:10:19,690 --> 00:10:24,270
+تتفاجأ في الامتحان بأي شيء جديد، ممكن الفكرة ما لاقيش
+
+119
+00:10:24,270 --> 00:10:27,650
+سادة، جت الفكرة التالية، ممكن الفكرة اللي أنت عرفتها
+
+120
+00:10:27,650 --> 00:10:33,030
+اتطورت شوية إلى آخره، يبقى دورة هيك بقول حسب علمي
+
+121
+00:10:33,030 --> 00:10:37,720
+ودرايتي المتواضعة، بتكون أنت إن شاء الله يعني مشيت
+
+122
+00:10:37,720 --> 00:10:44,000
+على الطريق الصحيح لنيل الدرجات العليا، خاصة في
+
+123
+00:10:44,000 --> 00:10:47,880
+المادة هذه وفي بقية المواد، استعمل هذه الطريقة
+
+124
+00:10:47,880 --> 00:10:52,840
+بإذن الله، بيكون عندك علم وفهم وجيب درجة عليها في
+
+125
+00:10:52,840 --> 00:10:56,520
+الامتحان وما إلى ذلك، وإذا مشيت بهذه الطريقة بصير
+
+126
+00:10:56,520 --> 00:11:02,460
+أنت  postal  لأقرانك  القلاب من الجامعات الأخرى بصير
+
+127
+00:11:02,460 --> 00:11:07,380
+أنت ما رجع لهم تمام؟ يبقى هذه كيفية الدراسة نجي 
+
+128
+00:11:07,380 --> 00:11:11,800
+لتوزيع الدرجات توزيع الدرجات على مساقة عشرين درجة
+
+129
+00:11:11,800 --> 00:11:17,750
+للامتحان الأول عشرين درجة للامتحان الثاني، عشر
+
+130
+00:11:17,750 --> 00:11:22,550
+درجات في يد المعيد لل discussion يعملها quizzate
+
+131
+00:11:22,550 --> 00:11:26,210
+يعملها discussion على الحضور والغياب، له مطلق
+
+132
+00:11:26,210 --> 00:11:30,870
+الحرية ولا دخل ليه في هذه العشر درجات إن جبهالي عشر
+
+133
+00:11:30,870 --> 00:11:34,530
+و بحطولك عشرة جبهالي تلاتة و بحطولك تلاتة زي ما هي
+
+134
+00:11:34,530 --> 00:11:40,230
+ماليش دخل فيها يبقى بدك تحلص على الحضور بعكس ما
+
+135
+00:11:40,230 --> 00:11:43,730
+عملنا في كل قلصي ما اعتمداش العشر درجة لكن الفصل
+
+136
+00:11:43,730 --> 00:11:47,770
+هذا اعتمدها إن شاء الله تعالى يبقى عشرين لامتحان
+
+137
+00:11:47,770 --> 00:11:51,790
+الأول عشرين لتاني عشر درجة في هذه المعيد هذه خمسين
+
+138
+00:11:51,790 --> 00:11:56,450
+هي عمل الفصل الخمسين تانية لامتحان النهائي
+
+139
+00:11:56,450 --> 00:12:02,720
+الامتحان الأول يكون خلي بالك معايا بعد أربعين يوما
+
+140
+00:12:02,720 --> 00:12:06,520
+من بدء الدراسة يعني بعد أربعين يوم أنهينا وطالع
+
+141
+00:12:06,520 --> 00:12:11,280
+يمكن بعدها بيومين تلاتة أربع أيام قبلها بيومين إلى
+
+142
+00:12:11,280 --> 00:12:16,260
+آخره يبقى في هذه الفترة حولنا هذه الفترة تأهيل
+
+143
+00:12:16,260 --> 00:12:23,720
+نفسك أنك تجرى من البداية تمام؟ وإياك أن تؤجل عمل 
+
+144
+00:12:23,720 --> 00:12:28,970
+اليوم إلى الغد المحاضرات بتاخدها بتروح تجراها، تمام؟
+
+145
+00:12:28,970 --> 00:12:31,990
+إن خليتها لبكرا، إذا بدها تلات ساعة جراها، بكرا بده
+
+146
+00:12:31,990 --> 00:12:37,370
+تلتين ساعة، إن خليتها لنهاية الأسبوع بده ساعتين،
+
+147
+00:12:37,370 --> 00:12:41,740
+لراسة حتى تستوى وتبدأ تشتغلو هكذا و بدى يتراكم
+
+148
+00:12:41,740 --> 00:12:46,140
+عليك مواد كثيرة يبقى استغل وقتك وأنظم وقتك بطريقة
+
+149
+00:12:46,140 --> 00:12:51,700
+صحيحة بحيث تعمل توازن بين المساقات الأخرى كل واحد
+
+150
+00:12:51,700 --> 00:12:56,160
+يلو فترة من الدراسة وبالتالي بنمشي ونمشي صحيح أو
+
+151
+00:12:56,160 --> 00:13:01,600
+ندرس دراسة صحية هذا بالنسبة لكيفية الدراسة و
+
+152
+00:13:01,600 --> 00:13:07,100
+بالنسبة لتوزيع الدرجات أما عن الساعات المكتبية سجل
+
+153
+00:13:07,100 --> 00:13:15,850
+اللي عندك يوم الأحد والثلاثاء من العشرة للاطماعش
+
+154
+00:13:15,850 --> 00:13:19,430
+ونص أحد
+
+155
+00:13:19,430 --> 00:13:25,730
+وثلاثاء من العشرة للاطماعش ونص هذا أنا ملتزم أكون
+
+156
+00:13:25,730 --> 00:13:29,850
+موجود في المكتب في غير ذلك لو جيت في أي ساعة أخرة
+
+157
+00:13:29,850 --> 00:13:33,410
+ولا جيتني قبل هذا الوقت بعد هذا الوقت في أي يوم
+
+158
+00:13:33,410 --> 00:13:38,320
+آخر أنا جاهز ماعندي مشكلة يبقى إياك أن تدخل على
+
+159
+00:13:38,320 --> 00:13:43,780
+نفسك طيب انتهينا من السعادة المكتبية انتهينا من
+
+160
+00:13:43,780 --> 00:13:50,020
+توزيع الدرجات الباقي الآن أن نشير إلى ما سندرسه في
+
+161
+00:13:50,020 --> 00:13:55,700
+هذا الفصل يعني الخطوط العريضة لمساق تفاضل وتكامل
+
+162
+00:13:55,700 --> 00:14:01,120
+الـ B أول شي أنت في تفاضل A درست six chapters ست
+
+163
+00:14:01,120 --> 00:14:05,060
+شباتر درست تمين فكرة كولصية احنا الحمد لله في كل
+
+164
+00:14:05,060 --> 00:14:10,810
+كولص بيه بس أربعة شباتر war chapters لكن الأربعة
+
+165
+00:14:10,810 --> 00:14:15,250
+شباتات أقل من الستة ليش؟ لأن الست هي تبعت
+
+166
+00:14:15,250 --> 00:14:19,210
+الثانوية العامة بس واسعانها شوية بس هذا في غالب
+
+167
+00:14:19,210 --> 00:14:23,350
+جديد يعني خمسة وتسعين في المية من كل قلصمي كله
+
+168
+00:14:23,350 --> 00:14:28,020
+جديد ما شوفتوش في الثانوية العامة طب إيش بيعتمد على
+
+169
+00:14:28,020 --> 00:14:31,760
+الأشياء السابقة؟ بيعتمد على ما درست فيه Calculus
+
+170
+00:14:31,760 --> 00:14:36,220
+يعني مثل قواعد التفاضل، بعض قواعد التكامل اللي
+
+171
+00:14:36,220 --> 00:14:40,220
+دخلتها زي التكامل بالتعويض أو نحو ذلك الدول
+
+172
+00:14:40,220 --> 00:14:46,280
+المثلثية عمود فقري في دراستنا اللي هو section 1
+
+173
+00:14:46,280 --> 00:14:50,180
+تلاتة من كل قلصية اللي هو ال trigonometric
+
+174
+00:14:50,180 --> 00:14:55,080
+functions وما يتعلق بيها لأن يا شباب حساب المثلثات
+
+175
+00:14:55,080 --> 00:15:00,500
+مثل ملح الطعام الذي لا يستغنى عنه أي أكلة بدك
+
+176
+00:15:00,500 --> 00:15:04,540
+تأكلها، لا يستغنى عنه الملح، الرياضية الملح تبعها
+
+177
+00:15:04,540 --> 00:15:10,550
+هو حساب المثلثات، واضح كلامي؟ طيب تمام نيجي الآن
+
+178
+00:15:10,550 --> 00:15:14,630
+لكل chapter من ال chapters اللي بنانا ندرسها وما
+
+179
+00:15:14,630 --> 00:15:19,610
+يحتوي in general يعني مش هتكلم كلام تفصيل هحط
+
+180
+00:15:19,610 --> 00:15:23,170
+الخواطب العريضة زي .. زي اللي ما تسمع ال national
+
+181
+00:15:23,170 --> 00:15:27,350
+أخبار بيقولك كان هذا هو الموجز وإليه كل تفصيل
+
+182
+00:15:27,350 --> 00:15:31,390
+بيحطله خبرين تلاتة أربعة في البداية وبعدين بيبدأ
+
+183
+00:15:31,390 --> 00:15:35,110
+يفصل فيه واحنا هنفصل على مدار الأربعة أشهر لكن في
+
+184
+00:15:35,110 --> 00:15:40,050
+البداية بنحطلك المعلومات كلها في نصف ساعة تقريبا
+
+185
+00:15:40,050 --> 00:15:46,170
+إبن جى أنت خلصت من chapter 1 لغاية chapter 6 ابنبدأ
+
+186
+00:15:46,170 --> 00:15:53,640
+ب chapter 7 يبقى شبتر سبعة بدنا ندرس فيه مجموعة من
+
+187
+00:15:53,640 --> 00:15:57,940
+الدوال هنسمي هذا .. طبعا أنت درست بعض الدوال في
+
+188
+00:15:57,940 --> 00:16:02,600
+calculus ايه؟ الآن احنا بدنا نتجلك الكلمة شوية
+
+189
+00:16:02,600 --> 00:16:08,520
+يعني بدنا نجيبلك بعض الدوال اللي ما درستاش قبل ذلك
+
+190
+00:16:08,520 --> 00:16:12,580
+الشبتر سبعة بنسمي ل Transcendental
+
+191
+00:16:21,550 --> 00:16:25,030
+ماذا يعني Transcendental Functions؟ يعني الدوال
+
+192
+00:16:25,030 --> 00:16:31,050
+الأسامية نقول yes هو يعني بيرتفع شوية احنا بنرفع من
+
+193
+00:16:31,050 --> 00:16:36,410
+قدرك شوية من ناحية العلم أول شي درسنا في كل
+
+194
+00:16:36,410 --> 00:16:42,710
+كولوسيا أول section دخلته هو ال functions تمام؟ هي
+
+195
+00:16:42,710 --> 00:16:47,110
+الأول section اللي هناخده اللي هو ال inverse
+
+196
+00:16:48,140 --> 00:16:56,360
+functions المهمين هي كمسات الدوال طبعا المحاضرة
+
+197
+00:16:56,360 --> 00:17:00,840
+القادمة إن شاء الله هخش فيها تفصيليا بعد ال
+
+198
+00:17:00,840 --> 00:17:06,020
+inverse functions هنجي لحاجة اسمها logarithmic
+
+199
+00:17:06,020 --> 00:17:09,460
+functions
+
+200
+00:17:09,460 --> 00:17:14,820
+المهمين اللي هو الدوال اللوغارتمية
+
+201
+00:17:17,090 --> 00:17:20,590
+الدوال اللوغارتمية هناخد حاجة اسمها ال nature of
+
+202
+00:17:20,590 --> 00:17:26,410
+logarithm اللي هو اللوغارتم الطبيعي وبعد هيك هنتقل
+
+203
+00:17:26,410 --> 00:17:31,210
+إلى اللوغارتم العادي أنتم في التانوية العامة سمعتوا
+
+204
+00:17:31,210 --> 00:17:36,370
+بحكاية الأساس عشرة تبع اللوغارتم احنا هناخد أي رقم
+
+205
+00:17:36,370 --> 00:17:41,930
+موجب غير الواحد الصحيح طبعا فكيف دراستنا مبنية
+
+206
+00:17:41,930 --> 00:17:46,590
+عليه هنجي لحاجة اسمها ال exponential function
+
+207
+00:17:52,350 --> 00:17:57,670
+الدوال الأُسية بعد
+
+208
+00:17:57,670 --> 00:18:03,010
+ذلك يوجد نوعين من الدوال النوع الأول نسميه inverse
+
+209
+00:18:03,010 --> 00:18:07,090
+trigonometric
+
+210
+00:18:07,090 --> 00:18:11,410
+functions
+
+211
+00:18:13,870 --> 00:18:18,330
+معكوس الدول المثلثية الدول المثلثية اللي دراستها
+
+212
+00:18:18,330 --> 00:18:26,230
+في Calculus A هي 6 دول بدنا نشوف معكوسات هذه الدول
+
+213
+00:18:26,230 --> 00:18:29,250
+بعدين بيجينا hyperbolic functions
+
+214
+00:18:35,760 --> 00:18:41,140
+يبقى الدوال الزائدية الدوال الزائدية بتعتمد في
+
+215
+00:18:41,140 --> 00:18:44,900
+تعريفها على ال exponential functions يعني هدول
+
+216
+00:18:44,900 --> 00:18:48,420
+اتنين مربطات في بعض يبقى هذه الأنواع من الدوال
+
+217
+00:18:48,420 --> 00:18:55,900
+المختلفة التي ستدرس في هذا الفصل أو في هذا ال
+
+218
+00:18:55,900 --> 00:19:00,520
+chapter طيب الدول هذا شو بندرس بالنسبة لها؟ بنقول
+
+219
+00:19:00,520 --> 00:19:05,820
+بسيطة هذه الدوال بدنا ندرس بالنسبة لها بدنا ندرس
+
+220
+00:19:05,820 --> 00:19:10,680
+ما يأتي لكي نعطي تعريف لكل دالة من هذه الدوال وبعد
+
+221
+00:19:10,680 --> 00:19:16,760
+ما نعطي تعريف لكل دالة من هذه الدوال بدنا .. بعد
+
+222
+00:19:16,760 --> 00:19:20,680
+ما نعطي تعريف لكل دالة من هذه الدوال بدنا نشوف ال
+
+223
+00:19:20,680 --> 00:19:25,900
+limits لهذه ال functions و ال domain و ال range و
+
+224
+00:19:25,900 --> 00:19:30,670
+الرسم البياني و ال derivatives و ال integrals يبقى
+
+225
+00:19:30,670 --> 00:19:38,650
+هذه الدوال نعطيها definition وناخد ال domain و
+
+226
+00:19:38,650 --> 00:19:47,250
+ناخد ال range لهذه الدول وناخد ال graphs الرسومات
+
+227
+00:19:47,250 --> 00:19:54,290
+البيانية لهذه الدول وناخد لها ال limits وناخد
+
+228
+00:19:54,290 --> 00:19:55,250
+لها ال derivatives
+
+229
+00:20:03,480 --> 00:20:09,080
+أما كم دراسة سابقة للدوال البسيطة اللي اتعرفنا
+
+230
+00:20:09,080 --> 00:20:13,300
+عليه بكل قلصية هنسحبه كله عالمين على الدوال
+
+231
+00:20:13,300 --> 00:20:20,370
+الجديدة اللي عندنا طيب في الدول المثلثية مثلا أخدنا
+
+232
+00:20:20,370 --> 00:20:24,790
+ال derivative تبع الـ 6 دول مثلثية لكن التكامل
+
+233
+00:20:24,790 --> 00:20:29,890
+أخدنا تكامل ال sine و ال cosine فقط لا غير، مظبوط؟
+
+234
+00:20:29,890 --> 00:20:33,150
+هنيجي في كل قناص بين كامل التان و الكتان و ال
+
+235
+00:20:33,150 --> 00:20:36,630
+second و ال cosecant كلهم وبالتالي بيكون غطيناهم
+
+236
+00:20:36,630 --> 00:20:41,440
+كلهم تمام ولهذا يبقى هذه الأمور اللي هندرسها
+
+237
+00:20:41,440 --> 00:20:46,340
+خلالها بنضيف عليها مدام نتكلم عليها طريقة جديدة من
+
+238
+00:20:46,340 --> 00:20:50,580
+اللي سلمنا بندرسها في Calculus A اللي هي عبارة عن
+
+239
+00:20:50,580 --> 00:20:57,960
+قاعدة Lobital Lobitals Rule
+
+240
+00:20:57,960 --> 00:21:05,710
+اللي هي قاعدة لوبيتال لإيجاد النهايات وهذا بنستخدمه
+
+241
+00:21:05,710 --> 00:21:11,490
+في وضع خاص سنتعرض له في حينه وبنظر إلى آخر
+
+242
+00:21:11,490 --> 00:21:15,450
+section موجود في هذا ال chapter حاجة اسمها
+
+243
+00:21:15,450 --> 00:21:22,310
+relative rates of change
+
+244
+00:21:25,600 --> 00:21:31,640
+بنشوف كيف سلوك دالتين أو تطور الدالتين أو نمو
+
+245
+00:21:31,640 --> 00:21:36,200
+الدالتين لأنما الـ X تكبر تصل إلى ما لا نهاية طبعا
+
+246
+00:21:36,200 --> 00:21:40,460
+ماحدش بيوصل لـ ما لا نهاية يقول لما الـ X تنزل تاوله إلى ما لا
+
+247
+00:21:40,460 --> 00:21:45,540
+نهاية بنشوف مين أسرع من التانية مين أبطأ من
+
+248
+00:21:45,540 --> 00:21:52,010
+التانية هل الدالتين The same rate يعني بالطور أو من
+
+249
+00:21:52,010 --> 00:21:56,810
+نفس المعدل الأولى هذا الموضوع هذا ال section يبقى
+
+250
+00:21:56,810 --> 00:22:01,950
+هذا كل ما يتعلق ب chapter 7 بعد chapter 7 نروح
+
+251
+00:22:01,950 --> 00:22:07,510
+لمين؟ لـ chapter 8 chapter 8 يا شباب اللي هو
+
+252
+00:22:07,510 --> 00:22:12,030
+techniques of integration
+
+253
+00:22:17,750 --> 00:22:22,750
+ماذا يعني technique بالعربي؟ طرق
+
+254
+00:22:22,750 --> 00:22:27,070
+المختلفة
+
+255
+00:22:27,070 --> 00:22:32,510
+للتكامل ما هي الطرق اللي بنستخدمها في تكامل الدالة
+
+256
+00:22:32,510 --> 00:22:38,350
+طبعًا هذه كلها كلاسية خدنا التكامل بالتعويض وخدنا
+
+257
+00:22:38,350 --> 00:22:43,360
+التكاملات البسيطة العادية لكن هنا في الثانوية
+
+258
+00:22:43,360 --> 00:22:47,500
+العامة أخذت integration by parts التكامل بالأجزاء
+
+259
+00:22:47,500 --> 00:22:51,200
+اللي احنا بنتسميه تكامل بالتجزئة يبقى الحالة دي من
+
+260
+00:22:51,200 --> 00:22:55,860
+جديد بس ما نا واسعلك كثير عن الثانوية العامة يبقى
+
+261
+00:22:55,860 --> 00:23:03,240
+الحالة دي أول شغل اللي هو integration by
+
+262
+00:23:03,240 --> 00:23:11,910
+parts التكامل بالتجزئة بعد هيك هنشرح القاعدة تبع
+
+263
+00:23:11,910 --> 00:23:16,970
+التكامل بالتجزئة نبدأ نأخذ أمثلة مختلفة عليها في
+
+264
+00:23:16,970 --> 00:23:21,670
+أوضاع مختلفة للمسائل لكن كلها بالدوران حول نفس مين
+
+265
+00:23:21,670 --> 00:23:26,670
+نفس المفهوم لكن هتلاقي فرق شاسع بين اللي أخذته في
+
+266
+00:23:26,670 --> 00:23:30,450
+التوجيهي وبين إيه وبين اللي بناخذه هنا في الجامعة
+
+267
+00:23:31,040 --> 00:23:34,940
+بعد ذلك نجي لحاجة تسمى trigonometric integrals
+
+268
+00:23:34,940 --> 00:23:40,340
+التكاملات المعتمدة على دوال المثلثية يبقى هنا
+
+269
+00:23:50,850 --> 00:23:55,250
+التكاملات اللي اعتمدت على دالة مثلثية مثلًا دالة
+
+270
+00:23:55,250 --> 00:24:00,290
+مثلثية زي sin sin أس خمسة x dx كاملة sin أس خمسة
+
+271
+00:24:00,290 --> 00:24:08,510
+x dx مثلًا tan أس ستة x dx حاصل ضرب sin في cos هذه
+
+272
+00:24:08,510 --> 00:24:13,370
+مرفوعة لأس وهذه مرفوعة لأس حاصل ضرب sec في tan
+
+273
+00:24:13,660 --> 00:24:18,020
+هذه مرفوعة لأسس وهذه مرفوعة لأسس يعني دوال المثلثية
+
+274
+00:24:18,020 --> 00:24:23,020
+بدنا نضربهم في بعض نرفعهم لأسس نخلي الزوايا مختلفة
+
+275
+00:24:23,020 --> 00:24:28,260
+هذه مثلًا كانت من x هذه sin أس خمسة x إلى آخرين بدنا
+
+276
+00:24:28,260 --> 00:24:33,260
+نأخذ القواعد كيفية تكامل مثل هذه المسائل وهذه لم
+
+277
+00:24:33,260 --> 00:24:38,430
+نتعرض لها في calculus A على الإطلاق بعد الـ
+
+278
+00:24:38,430 --> 00:24:44,310
+trigonometric integrals بدنا نجي لطريقة الأساسية
+
+279
+00:24:44,310 --> 00:24:48,130
+الثانية وهي الـ trigonometric substitution
+
+280
+00:24:48,130 --> 00:25:00,810
+التعويض 
+
+281
+00:25:00,810 --> 00:25:09,500
+بدالة مثلثية في calculus A أخذنا تعويض بدالة عادية
+
+282
+00:25:09,500 --> 00:25:13,400
+بنشوف في المسألة اللي ممكن تعويض بالشكل اللي في
+
+283
+00:25:13,400 --> 00:25:18,100
+الـ calculus وبنشيلها وبنحط بدالها دالة متغيرة بنغير شكل
+
+284
+00:25:18,100 --> 00:25:22,640
+المسألة وبخليها مسألة لطيفة مقدور عليها وبالتالي
+
+285
+00:25:22,640 --> 00:25:27,900
+بنكامل وبتمشي الأمور طبعًا هنا لأ بدي أعوض في
+
+286
+00:25:27,900 --> 00:25:32,300
+بدالة مثلثية بدي أعرف أن الـ sign
+
+287
+00:25:36,590 --> 00:25:41,150
+ليش الثلاث تانيات؟ لأ هنقولك في أهني ليش طبعًا
+
+288
+00:25:41,150 --> 00:25:46,300
+كله هيأدي لنفس النتيجة يبقى الـ Trigonometric
+
+289
+00:25:46,300 --> 00:25:50,040
+Substitution التكامل بس التعويض في ذلك المثال، ليس
+
+290
+00:25:50,040 --> 00:25:56,060
+لكل مسألة، لبعض المسائل اللي بتكون بشكل معين، في
+
+291
+00:25:56,060 --> 00:26:00,940
+حينها سنكون كما هذا الشكل، ده طبعًا آخر طريقة من
+
+292
+00:26:00,940 --> 00:26:04,040
+طرق التكامل اللي هو integration by partial
+
+293
+00:26:04,040 --> 00:26:11,700
+fractions اللي هو بعدها الـ partial fractions
+
+294
+00:26:16,020 --> 00:26:21,800
+قررنا نشرح الـ directions من معامل الأمام لدوال اللي
+
+295
+00:26:21,800 --> 00:26:26,460
+بتبقى rational functions دوال نسبة الـ polynomial
+
+296
+00:26:26,460 --> 00:26:31,340
+في البسط polynomial في المقام وهنشوف كيف هنا
+
+297
+00:26:31,340 --> 00:26:35,300
+اللي اتعلمنا واحنا في الابتدائي والإعدادي و
+
+298
+00:26:35,300 --> 00:26:40,760
+الثانوي جمع الكسور عندي كسرين تلاتة أربعة بقدر
+
+299
+00:26:40,760 --> 00:26:45,520
+أجمعهم بوساطة المضاعف المشترك وبعمله كسر واحد هنا
+
+300
+00:26:45,520 --> 00:26:49,060
+عن العملية العكسية اللي ما اتعلمناهاش في المدرسة
+
+301
+00:26:49,060 --> 00:26:52,560
+الابتدائية والثانوية وغيرها كيف العملية العكسية؟
+
+302
+00:26:52,560 --> 00:26:58,570
+أنا عندي كسر وبدي أرجعه لأصله مجموعة من الكسور بكون
+
+303
+00:26:58,570 --> 00:27:02,490
+عندي rational function على الشكل كسر وبدي أحولها
+
+304
+00:27:02,490 --> 00:27:07,970
+إلى دالتين أو تلاتة أو أربعة ومن ثم لأقوم بإجراء
+
+305
+00:27:07,970 --> 00:27:12,950
+عملية التكامل يعني ببساطة المسألة التي صعب علينا
+
+306
+00:27:12,950 --> 00:27:18,310
+تكاملها إلى مجموعة تكاملات سهلة وميسورة يبقى هذه
+
+307
+00:27:18,310 --> 00:27:24,470
+اللي هي الـ partial fractions أي الكسور الجزئية بقيت
+
+308
+00:27:24,470 --> 00:27:25,990
+مقطعة واحدة فيها
+
+309
+00:27:39,300 --> 00:27:46,320
+المتكاملات المعتلة التكاملات المعتلة المعتلة هي اللي
+
+310
+00:27:46,320 --> 00:27:51,240
+فيها علة معينة أول شيء هذه التكاملات تكاملات
+
+311
+00:27:51,240 --> 00:27:56,520
+محدودة العلة قد تكون في التكامل وقد تكون في
+
+312
+00:27:56,520 --> 00:28:01,520
+الدالة المتكامل لها العلة الموجودة في التكامل قد
+
+313
+00:28:01,520 --> 00:28:07,180
+يكون أحد حدود التكامل أو كلاهما infinity وهذا لم
+
+314
+00:28:07,180 --> 00:28:12,260
+نتعرف به من قبل مرة واحدة في الـ calculus  أن تقول
+
+315
+00:28:12,260 --> 00:28:17,220
+تكامل من رقم لمالانهاية أو تكامل من سالب مالانهاية
+
+316
+00:28:17,220 --> 00:28:21,860
+لرقم أو تكامل من سالب مالانهاية لمالانهاية هذا كله
+
+317
+00:28:21,860 --> 00:28:25,540
+لم نتعرف به في الـ calculus على الإطلاق يبدو هذه
+
+318
+00:28:25,540 --> 00:28:26,380
+الشغلة الجديدة
+
+319
+00:28:31,550 --> 00:28:36,210
+الدالة المراد تكاملها هذا العلم الثاني إيش يعني
+
+320
+00:28:36,210 --> 00:28:40,950
+الدالة المراد تكاملها الدالة اللي بدنا نتكاملها قد
+
+321
+00:28:40,950 --> 00:28:47,150
+تكون غير معرفة عند نقطة وهذه النقطة موجودة داخل
+
+322
+00:28:47,150 --> 00:28:53,390
+فترة التكامل كيف يعني لغة مبسطة بده تكامل من واحد
+
+323
+00:28:53,390 --> 00:29:01,540
+إلى خمسة لدالة x على x ناقص ثلاثة لكل تقييم هل
+
+324
+00:29:01,540 --> 00:29:05,500
+الدالة معرفة عند x تساوي ثلاثة؟ طبعًا لأ، ثلاثة
+
+325
+00:29:05,500 --> 00:29:10,900
+موجودة من واحد لخمسة معها يبقى هذا improper integral
+
+326
+00:29:10,900 --> 00:29:17,560
+تمام؟ يبقى .. هنعرف كيف هنحسب مثل هذا التكامل و
+
+327
+00:29:17,560 --> 00:29:24,180
+هتظهر عندنا كلمتين جديدتين لم نكن نفهمها من قبل أن
+
+328
+00:29:24,180 --> 00:29:29,880
+التكامل هذا قد يكون converged وقد يكون diverged
+
+329
+00:29:30,200 --> 00:29:36,580
+مثل الـ Improper Integral هذا قد يكون أنه converge
+
+330
+00:29:36,580 --> 00:29:43,000
+وقد يكون diverge، واحدة من الاثنين، لا ثالث لها مهما.
+
+331
+00:29:44,190 --> 00:29:48,110
+وإما التكامل يطلع converge، converge يعني إيش
+
+332
+00:29:48,110 --> 00:29:53,730
+تقاربه، يعني لما تحسب إن التكامل هذا بدي يطلع عندي
+
+333
+00:29:53,730 --> 00:29:59,590
+رقم، قيمة عددية طبعًا،  لإحتمالية أنه يطلع مالانهاية
+
+334
+00:29:59,590 --> 00:30:01,510
+أو سالب مالانهاية
+
+335
+00:30:06,330 --> 00:30:10,210
+لذلك عندما تدخل في الـ improper integral ستسمع أو
+
+336
+00:30:10,210 --> 00:30:14,650
+تجي على كلمة سامع كلمة converge أو diverge
+
+337
+00:30:14,650 --> 00:30:19,430
+اللي كنت بتسمعها في الشابتر من الأول لغاية ما نوصل
+
+338
+00:30:19,430 --> 00:30:25,110
+هنا الـ section طبعًا؟ طبعًا كويس هدول الـ two
+
+339
+00:30:25,110 --> 00:30:29,570
+chapters إذًا يا شباب الشابتر الأول بدّوا شهر كامل
+
+340
+00:30:29,570 --> 00:30:36,410
+احنا ندرس فيه الشابتر الثاني بنيجيبه في أسبوعين ونص أو
+
+341
+00:30:36,410 --> 00:30:41,010
+يعني قصير بس الشابتر الأول طويل طيب نجي للشابتر اللي
+
+342
+00:30:41,010 --> 00:30:46,150
+بعده الشابتر اللي بعده هذا الشابتر كان يدوني للشابتر تسعة
+
+343
+00:30:46,150 --> 00:30:52,550
+أو نجر الفاتحة على روحه هذا شابتر معادلات تفاضلية
+
+344
+00:30:52,550 --> 00:30:56,990
+احنا المعادلة التفاضلية بنزلها مسافة كاملة لطلبة
+
+345
+00:30:56,990 --> 00:31:02,850
+العلوم والتربية والهندسة الكهرباء والحاسوب و
+
+346
+00:31:02,850 --> 00:31:09,330
+نحو ذلك إذًا هذه بنطلعها وبنعطيها كمبدأ مستقلة فلما
+
+347
+00:31:09,330 --> 00:31:12,870
+نعطيها هنا بنرجع على المسافة كأنها بالكهرباء تكرهها
+
+348
+00:31:12,870 --> 00:31:19,290
+بنقولها خليها يعني بنروح على شابتر عشرة  الشركة
+
+349
+00:31:19,290 --> 00:31:26,050
+العشرة للـ infinite sequences
+
+350
+00:31:26,050 --> 00:31:29,130
+sequences
+
+351
+00:31:29,130 --> 00:31:34,930
+and infinite series
+
+352
+00:31:38,310 --> 00:31:45,690
+وجه المتتابعات اللانهائية المتسلسلات 
+
+353
+00:31:45,690 --> 00:31:50,910
+اللانهائية الـ sequences هذه الـ infinite sequences
+
+354
+00:31:50,910 --> 00:31:57,770
+سكشن واحد من الشابتر باقي الشابتر كله عن الـ infinite
+
+355
+00:31:57,770 --> 00:32:07,760
+series إيش بدنا ندرس في هذا الشابتر بدنا ندرس هل الـ
+
+356
+00:32:07,760 --> 00:32:13,020
+sequence أو الـ series هذي بتبقى converge ولا diverge
+
+357
+00:32:13,020 --> 00:32:18,100
+فقط الشرطة من الأول للآخر طبعًا كيف converge ولا
+
+358
+00:32:18,100 --> 00:32:24,360
+diverge بدنا نستخدم لها الشغلة دي أحد الأمور
+
+359
+00:32:24,360 --> 00:32:30,290
+الثانية قد نستخدم الـ limit للحكم على الـ sequence هل
+
+360
+00:32:30,290 --> 00:32:35,530
+هي converge أو diverge بالنسبة للـ series فهنا
+
+361
+00:32:35,530 --> 00:32:40,330
+ثلاثة series مشهورة وهي الـ geometric series والـ
+
+362
+00:32:40,330 --> 00:32:45,790
+harmonic series والـ P series وفيها ستة اختبارات
+
+363
+00:32:45,790 --> 00:32:51,690
+بواسطتهم هقدر أحكم على الـ series هل هي converge أو
+
+364
+00:32:51,690 --> 00:32:53,850
+diverge الاختبار
+
+365
+00:33:03,440 --> 00:33:08,820
+التست وهذا سيعتمد فقط على الـ  preparant brand
+
+366
+00:33:08,820 --> 00:33:15,460
+يعني يا شباب هذا الشابتر مستقل بباقي علينا عن
+
+367
+00:33:15,460 --> 00:33:20,780
+الشابترين اللي سبقوا فيش ارتباط بينهم إلا في حالة
+
+368
+00:33:20,780 --> 00:33:25,080
+أن اختبار التكامل بنرجع للـ preparant brand
+
+369
+00:33:28,390 --> 00:33:33,670
+مع بعض ما لهمش علاقة يعني كنا في وادي وانتقلنا إلى
+
+370
+00:33:33,670 --> 00:33:39,010
+وادي آخر سبعة وثمانية بيكونوا مع بعض تمام مترابطين
+
+371
+00:33:39,010 --> 00:33:44,170
+ملتزمين مع بعض شابتر عشرة ما لهش دعوة إلا section
+
+372
+00:33:44,170 --> 00:33:48,330
+اللي هو التابع للـ integral test ما هو section الـ
+
+373
+00:33:48,330 --> 00:33:52,210
+improper integrals يبقى اختبار الحد اللي هو اختبار
+
+374
+00:33:52,210 --> 00:33:57,830
+التكامل اختبار المقارنة comparison test نهاية
+
+375
+00:33:57,830 --> 00:34:01,370
+اختبار المقارنة limit comparison test هي أربعة
+
+376
+00:34:01,370 --> 00:34:07,910
+الخامس الـ ratio test اختبار النسبة السادس اختبار 
+
+377
+00:34:07,910 --> 00:34:14,130
+الجانب النوني الـ infra test بواسطة الشغلات دي بقدر
+
+378
+00:34:14,130 --> 00:34:19,910
+أكمل على series هل هي converge أو diverge بظل عندنا
+
+379
+00:34:19,910 --> 00:34:25,650
+نقطتين في هذا الشطر حاجة اسمها taylor series و
+
+380
+00:34:25,650 --> 00:34:32,970
+maclaurin series يبدأ تجيب هنا كمان taylor series
+
+381
+00:34:32,970 --> 00:34:40,070
+and maclaurin series
+
+382
+00:34:48,710 --> 00:34:53,210
+متسلسلة مكلورين هي حالة خاصة لمتسلسلة تايلور
+
+383
+00:34:59,500 --> 00:35:03,960
+هذه اللي جالها وقت إيش؟ إذا عندي دالة والدالة بدي
+
+384
+00:35:03,960 --> 00:35:10,600
+أحطها على شكل series على شكل متسلسلة نقدر يعني إن
+
+385
+00:35:10,600 --> 00:35:16,140
+نحط الدالة الموجودة زي الـSin X على شكل متسلسلة نقدر
+
+386
+00:35:16,140 --> 00:35:20,960
+يعني نكتب الـSin كمجموعة حدود عاجها الليلة اللي هي
+
+387
+00:35:20,960 --> 00:35:26,980
+نقدر الـSin والـCos والـExponential Function والـ
+
+388
+00:35:26,980 --> 00:35:32,120
+Natural Number ودالة واحد على X وكل الـ... يعني
+
+389
+00:35:32,120 --> 00:35:38,320
+من الدوال هذه؟ هذه هي الدوال التي لها معنى رهاية من
+
+390
+00:35:38,320 --> 00:35:46,380
+المشتقات تمام؟ إذا الدوال التي لها معنى رهاية من الـ
+
+391
+00:35:46,380 --> 00:35:51,440
+derivatives نقدر نعمل هذه الـseries كيف؟ هذا ما
+
+392
+00:35:51,440 --> 00:35:56,160
+ستعرفه في حينه كيف؟ مثل الحلقة الخاصة من تايلور هذا
+
+393
+00:35:56,160 --> 00:35:58,120
+ما ستعرفه في حينه
+
+394
+00:36:11,420 --> 00:36:18,720
+بينوميال كثيرة حدود بينوميال حدين بينوميال series
+
+395
+00:36:18,720 --> 00:36:24,650
+متسلسلة ذات الحدين اه لو راجعنا بالذاكرة على الصف
+
+396
+00:36:24,650 --> 00:36:29,150
+الـ 11 وناخد النظرية ذات الحدين بس كان
+
+397
+00:36:29,150 --> 00:36:35,010
+النظرية ذات الحدين سين زائد ألف كله أس نون حيث نون
+
+398
+00:36:35,010 --> 00:36:41,510
+عدد صحيح موجب  صحي ولازم يكون الشعب نسيب
+
+399
+00:36:46,440 --> 00:36:53,740
+نون زائد ألف كله أس نون يساوي سين أس نون زائد نون 
+
+400
+00:36:53,740 --> 00:36:58,200
+قاف واحد ألف سين أس نون ناقص واحد إيش نون قاف
+
+401
+00:36:58,200 --> 00:37:04,280
+واحد هذه ترافيق نون من ماشاء ماخودة واحد واحد زائد
+
+402
+00:37:04,280 --> 00:37:08,240
+نون قاف اثنين ترافيق نون من ماشاء ماخودة اثنين
+
+403
+00:37:08,240 --> 00:37:14,070
+اثنين اثنين.لو نقع في اثنين ألف تربيع سيل أصل
+
+404
+00:37:14,070 --> 00:37:19,150
+ناقص اثنين وهكذا زائد زائد.لقاعد ما وصل الى ألف أصل
+
+405
+00:37:19,150 --> 00:37:26,330
+عدد الحدود N زائد واحد.زي ما نقول سيل زيادة في كل
+
+406
+00:37:26,330 --> 00:37:29,030
+تربيع.سيل تربيع زيادة اثنين.
+
+407
+00:37:34,460 --> 00:37:39,140
+ثلاثة رغم أن القس جداش اثنين لو كان القس ثلاثة 
+
+408
+00:37:39,140 --> 00:37:42,240
+بيطلع عندك أربعة حدود لو كان القس أربعة بيطلع خمسة
+
+409
+00:37:42,240 --> 00:37:45,620
+حدود وهي كده دائماً هو عبارة عن عدد حدود المكون
+
+410
+00:37:45,620 --> 00:37:50,840
+أكبر من القس اللي عندك المقار هذا لو كان إن عدد
+
+411
+00:37:50,840 --> 00:37:56,240
+صحيح موجب بتنقل المفكوك اللي عندك تنزل واحد من
+
+412
+00:37:56,240 --> 00:38:01,480
+الحدود احنا هنا في البرنامج نشتغل صحيح قد إيه بس
+
+413
+00:38:01,480 --> 00:38:09,420
+القس صحيح لا قبل قد يكون كسر سالب قد يكون عدد
+
+414
+00:38:09,420 --> 00:38:14,740
+السالب صحيح أولاً نأخذ الـ general form وبالتالي لو
+
+415
+00:38:14,740 --> 00:38:19,880
+قلت السالب واحد وجدت أشتقه بكمل بيقول السالب اثنين
+
+416
+00:38:19,880 --> 00:38:23,380
+أو السالب ثلاثة أو السالب أربعة يبقى مستمر لو يبقى
+
+417
+00:38:23,380 --> 00:38:30,710
+ما له نهاية من هنا سمينا الـ binomial series لحد
+
+418
+00:38:30,710 --> 00:38:36,550
+هنا نكون انتهينا من الشطر 10 ونأتي الآن لآخر شطر
+
+419
+00:38:36,550 --> 00:38:44,390
+في المقرر الشطر 11 الشطر 11 يا شباب ما له علاقة
+
+420
+00:38:44,390 --> 00:38:50,860
+بالإفلاق كله أول شطرين مرتبطين مع بعض هذا انتقلنا
+
+421
+00:38:50,860 --> 00:38:54,040
+إلى ودي آخر لأنه انتقل إلى ودي آخر ما لهوش علاقة
+
+422
+00:38:54,040 --> 00:38:59,120
+باللي قبله هذا الشطر كله هندسة تحليلية لو روح
+
+423
+00:38:59,120 --> 00:39:03,300
+للكتاب الأساسي تبعك هذا ها ها بتلاقي مكتوب عليهم
+
+424
+00:39:03,300 --> 00:39:07,780
+Calculus و Analytic Geometry يبقى حساب التفاضل
+
+425
+00:39:07,780 --> 00:39:13,140
+والتكامل وهندسة تحليلية هذا الشطر فيه ثلاث نقاط
+
+426
+00:39:13,140 --> 00:39:13,660
+رئيسية
+
+427
+00:39:21,660 --> 00:39:33,820
+Path parametrization of a Plane Curve يبقى
+
+428
+00:39:33,820 --> 00:39:39,180
+هذه النقطة اللي موجودة في هذا الشطر إيش يعني؟
+
+429
+00:39:39,180 --> 00:39:46,300
+أول شيء Plane Curve شو معناها؟ منحنٍ موجودة في 
+
+430
+00:39:46,300 --> 00:39:50,410
+المستوى يعني في مستويات الصورة في مستويات اللوحة
+
+431
+00:39:50,410 --> 00:39:53,830
+اللي قدامك في مستويات صفحات الكتاب اللي قدامك
+
+432
+00:39:53,830 --> 00:39:57,250
+مرسوم المنحنٍ هذا اسمه plane curve يعني مش في
+
+433
+00:39:57,250 --> 00:40:02,310
+الفضاء مش في الـ space يعني إنه بعدين وليس ثلاثة بس
+
+434
+00:40:02,310 --> 00:40:05,930
+لو كان في الفضاء ممكن تخيله تبع المحاور الثلاثية تبع
+
+435
+00:40:05,930 --> 00:40:10,670
+المحاور الثلاثية تبع الـ Z X axis Y axis
+
+436
+00:40:15,640 --> 00:40:17,200
+هذا الكلام يقوم بالكالكولاز بيه
+
+437
+00:40:23,320 --> 00:40:30,080
+بنقول احنا من الترجمة حرفياً بنقول parameter لكن 
+
+438
+00:40:30,080 --> 00:40:35,480
+الترجمة العربية الصحيحة وسيط parameter يعني وسيط
+
+439
+00:40:35,480 --> 00:40:40,340
+كيف يعني وسيط؟ بنا نفهم أولا بيقولنا متغير ثالث
+
+440
+00:40:40,340 --> 00:40:45,920
+بدخل متغير ثالث اللي علاقة مع الاثنين دخلنا هذا
+
+441
+00:40:45,920 --> 00:40:51,160
+الدنيا صار هذا وسيط بصير المعادلة الأصلية كتبناها
+
+442
+00:40:51,160 --> 00:40:58,650
+بصيغة أخرى أو بمعادلتين أخريين أو بثلاث معادلات
+
+443
+00:40:58,650 --> 00:41:03,350
+أخريات كدل العالمين على المعادلة الأصلية مثلاً زي
+
+444
+00:41:03,350 --> 00:41:09,810
+إيش مثلاً لو جلس سألناكم قلنا لكم إيش معادلة
+
+445
+00:41:09,810 --> 00:41:12,830
+الدائرة اللي مركزها المقطة الرأسية ونصف قطرها
+
+446
+00:41:12,830 --> 00:41:17,230
+ومساوي إيه؟ كله على الفلال أخدناها في العدالة
+
+447
+00:41:17,230 --> 00:41:18,290
+أخذناها في الفانة
+
+448
+00:41:25,920 --> 00:41:33,260
+لكن لو جيت وقلت لك x تساوي a cos θ و y تساوي a 
+
+449
+00:41:33,260 --> 00:41:40,130
+sin θ قلت لك ربع اثنين واجمع ما فيش مصير a تربيع 
+
+450
+00:41:40,130 --> 00:41:44,130
+كسين تربيع تيتا زي a تربيع سين تربيع تيتا خذ a
+
+451
+00:41:44,130 --> 00:41:47,330
+تربيع عامل مشترك بغير كسين تربيع زي الـ sin تربيع
+
+452
+00:41:47,330 --> 00:41:50,490
+اللي يبقى عامل يبقى x تربيع زي الـ y تربيع يساوي a
+
+453
+00:41:50,490 --> 00:41:54,670
+تربيع المعادلتين هذين الـ x يساوي a كوسين تيتا و y
+
+454
+00:41:54,670 --> 00:41:58,050
+يساوي a سين تيتا بسميهم معادلة الـ parameter يلي 
+
+455
+00:41:58,050 --> 00:42:02,120
+معادلة الدائرة يعني أنا نقلت معادلة دائرة من الصيغة
+
+456
+00:42:02,120 --> 00:42:05,660
+الكارتيزية إلى الصيغة الجديدة اللي هو اسمه
+
+457
+00:42:05,660 --> 00:42:11,680
+فيتا بس مثال بسيط هذا مجرد إشارة اليوم لإيه
+
+458
+00:42:11,680 --> 00:42:14,480
+المفهوم الـ parametric equations أو
+
+459
+00:42:14,480 --> 00:42:20,700
+parametrization of a plane curve خلاصنا من هذه
+
+460
+00:42:20,700 --> 00:42:24,340
+نجي لحاجة اسمها النقطة الثانية
+
+461
+00:42:30,890 --> 00:42:38,570
+ماذا يعني polar coordinates؟ الإحداثيات القطبية
+
+462
+00:42:38,570 --> 00:42:43,870
+يعني أنت قول قطب polar قطبية إذا polar 
+
+463
+00:42:43,870 --> 00:42:48,550
+coordinates الإحداثيات القطبية من يوم ما صرت تتعلم
+
+464
+00:42:48,550 --> 00:42:53,970
+رياضيات من الابتداء إلى وراية من أصل إلى رمح النقطة
+
+465
+00:42:53,970 --> 00:42:54,970
+وأنت بتشرح
+
+466
+00:42:59,180 --> 00:43:04,960
+الإحداثية الديكارتية والإحداثيات المستقيمة.هنا
+
+467
+00:43:04,960 --> 00:43:09,260
+هنتقل إلى نوع آخر من الإحداثيات اللي هو الإحداثية
+
+468
+00:43:09,260 --> 00:43:13,400
+القطبية.بدل ما كله نكتب المعادلة بدلالة X و Y
+
+469
+00:43:13,400 --> 00:43:19,300
+بالنصيب نكتبها بدلالة R و θيتا. R اللي هو بعد
+
+470
+00:43:19,300 --> 00:43:21,640
+النقطة اللي موجودة على أول الحلقة النقطة
+
+471
+00:43:24,760 --> 00:43:28,580
+مع نكس اكس زاوية بيسميها ثيتا وبالتالي بنكتب
+
+472
+00:43:28,580 --> 00:43:34,340
+المعادلة بدلالة R وثيتا قبل شغال بيقص فيها هذه كيف
+
+473
+00:43:34,340 --> 00:43:37,820
+أحول النقطة من الإحداثية الديكارتية إلى الإحداثية
+
+474
+00:43:37,820 --> 00:43:42,180
+القطبية والعكس من قطبي إلى ديكارتي كيف بده أحول
+
+475
+00:43:42,180 --> 00:43:45,660
+المعادلة اللي عنده من ديكارتي إلى معادلة قطبية أو
+
+476
+00:43:45,660 --> 00:43:50,380
+من معادلة قطبية إلى معادلة ديكارتية مش عاجبكوا بس
+
+477
+00:43:50,380 --> 00:43:56,510
+لابدنا نعرف كيف بدنا نرسم المنحنٍ اللي عندنا في
+
+478
+00:43:56,510 --> 00:44:03,390
+الإحداثيات القطبية دون الرجوع إلى كم كبس إيه تشوف
+
+479
+00:44:03,390 --> 00:44:09,150
+لمقاطع تقاطع ونشتاق ونجيب الـ asymptotes ونجيب الـ
+
+480
+00:44:09,150 --> 00:44:12,190
+increasing والـ decreasing والـ local maximum هذا
+
+481
+00:44:12,190 --> 00:44:16,450
+كلام عرفناه عليه الزمن اللي هنعلمك طريقة كيف ترسم
+
+482
+00:44:16,450 --> 00:44:23,320
+المنحنٍ بالإحداثيات القطبية مش هجدكوا بس، لكن ما
+
+483
+00:44:23,320 --> 00:44:27,580
+نعرف كده المساحة اللي موجودة بين المنحنيين في
+
+484
+00:44:27,580 --> 00:44:31,980
+الإحداثيات القطبية زي ما درسناها ديكارتي في
+
+485
+00:44:31,980 --> 00:44:36,460
+calculus A هدرسها في calculus B الإحداثيات كيف
+
+486
+00:44:36,460 --> 00:44:41,240
+نحسبها بالإحداثيات القطبية يعني في هذه النقطة
+
+487
+00:44:41,240 --> 00:44:45,440
+الثانية من هذا الشطر بقية النقطة الثالثة والأخيرة
+
+488
+00:44:45,440 --> 00:44:47,920
+الـ mainly conic sections
+
+489
+00:44:53,370 --> 00:44:59,670
+ماذا يعني conic sections بالعربي؟ ممتاز يبقى هنا
+
+490
+00:44:59,670 --> 00:45:06,010
+مقول conic sections القطوع المخروطية جاء من كون
+
+491
+00:45:06,010 --> 00:45:10,810
+مخروط conic مخروطي يبقى conic sections القطوع
+
+492
+00:45:10,810 --> 00:45:16,510
+المخروطية اللي بارد اللي يفيد إيده فوق كم قطع
+
+493
+00:45:16,510 --> 00:45:20,430
+مخروطي موجودة لها؟ قبل اه ثلاثة
+
+494
+00:45:22,830 --> 00:45:29,950
+على الدنيا هي في رواية ثانية اخترق العلماء واحد
+
+495
+00:45:29,950 --> 00:45:34,770
+خلقه فيه والواحد انفع إليه ها في حد عارف إنه
+
+496
+00:45:34,770 --> 00:45:42,030
+جابها؟ طيب القطوع المخروطية المعروفة والمشهورة بين
+
+497
+00:45:42,030 --> 00:45:43,270
+العلماء ثلاثة
+
+498
+00:45:49,900 --> 00:45:54,200
+أقول دراسة نص قطعة دراسة أنت ما أنت داري إنه هذا
+
+499
+00:45:54,200 --> 00:45:59,060
+نص قطعة مخروطة كيف؟ أول حاجة الخط المستقيم كله
+
+500
+00:45:59,060 --> 00:46:02,700
+دراسة الخط المستقيم مظبوط سواء كيميكال كولاسية ولا
+
+501
+00:46:02,700 --> 00:46:07,220
+بالثانوية هذا الأمر لا يعني لو جيبنا مخروط زي
+
+502
+00:46:07,220 --> 00:46:10,360
+الورقة بتاعت التورط ولا بتاعت الفلافل اللي بيساويها
+
+503
+00:46:10,360 --> 00:46:14,680
+أو زي التاج اللي بيحطوه على رؤوس الأولاد الصغار في
+
+504
+00:46:14,680 --> 00:46:21,920
+المناسبات هذا مخروط لو جيت عامل له مقطع على من شقّ
+
+505
+00:46:21,920 --> 00:46:25,620
+المستوى اللي بتعمله ويقطع هذا المخروط بطبع شكل
+
+506
+00:46:25,620 --> 00:46:31,220
+القطع قد يكون خط مستقيم أو خطين مستقيمين متقاطعين
+
+507
+00:46:31,220 --> 00:46:36,120
+ويعتبر خط مستقيم درسنا عن الخط المستقيم قد يكون
+
+508
+00:46:36,120 --> 00:46:46,520
+دائرة درسناها كويس قد يكون قطع مكافئ القطع
+
+509
+00:46:46,520 --> 00:46:51,420
+المكافئ حسبنا له الـ vertex و الـ axis من هنا هذا
+
+510
+00:46:51,420 --> 00:46:52,960
+خدمة قبلك اللي هو المصطلح
+
+511
+00:47:03,440 --> 00:47:09,500
+بالقطع المكافئ والـ Directrix اللي هو الدليل للقطع
+
+512
+00:47:09,500 --> 00:47:14,420
+المكافئ يبقى في عند الـ focus والـ direct يبقى على
+
+513
+00:47:14,420 --> 00:47:18,140
+نفس المستوى اللي هم نتكلم عنه احنا على كل ما ما ناخدش
+
+514
+00:47:18,140 --> 00:47:23,320
+ولا حاجة ونرجع للصفارة بالنسبة لمن؟ للقطع المكافئ
+
+515
+00:47:23,320 --> 00:47:30,170
+طيب يبقى القطع المكافئ اللي هو اللي هو القطع رقم
+
+516
+00:47:30,170 --> 00:47:36,390
+ثلاثة بالنسبة للقطوع المخروطية اللي كانت المعادلة
+
+517
+00:47:36,390 --> 00:47:41,570
+يمكننا نقول Y تساوي X تربيع أو X تساوي Y تربيع حسب
+
+518
+00:47:41,570 --> 00:47:45,590
+ما هم متواجد فوق ومن اليمين أو الأسفل أو من الشمال 
+
+519
+00:47:45,590 --> 00:47:49,910
+طبعًا يعني هنعطيه في الـ general form هنعطيه في
+
+520
+00:47:49,910 --> 00:47:58,680
+الصورة العامة القطع الرابع هو القطع البيضاوي القطع
+
+521
+00:47:58,680 --> 00:48:04,320
+الناقص يبقى هذا هو اللي بس طبعًا في calculus إيه
+
+522
+00:48:04,320 --> 00:48:08,060
+بذكركم في section واحد اثنين في موضوع الـ shifts
+
+523
+00:48:08,060 --> 00:48:14,380
+درسنا مين درسنا بس إشارة خفيفة نعملوا القطع الناقص
+
+524
+00:48:14,380 --> 00:48:20,400
+احنا هناخده تفصيليًا وهتلاقي له مش لفوكس واحدة إلا
+
+525
+00:48:20,400 --> 00:48:26,220
+two فوكس اثنين مش واحدة تمام؟ وبعد ما نخلص القطع
+
+526
+00:48:26,220 --> 00:48:32,080
+هذا بنروح للقطع الخامس اللي هو القطع الزائد اللي 
+
+527
+00:48:32,080 --> 00:48:37,320
+هو الـ hypergula يبقى hypergula قطع مكافئ إلبس قطع
+
+528
+00:48:37,320 --> 00:48:43,200
+ناقص hypergula اللي هو قطع زائد وبرضه إلا بفوكسين
+
+529
+00:48:43,200 --> 00:48:43,740
+كمان 
+
+530
+00:48:47,200 --> 00:48:51,840
+والقطع الناقص ما هو two direct traces دليلين لكن
+
+531
+00:48:51,840 --> 00:48:56,940
+المكافئ اللي هو دليل واحد و focus واحدة تمام؟ طب
+
+532
+00:48:56,940 --> 00:49:01,980
+الـ conic sections هذا بنا ندرسه كارتيزيا ولا كولي
+
+533
+00:49:01,980 --> 00:49:06,460
+ولا كلاهما؟ كلاهما المحور هو الـ conic sections
+
+534
+00:49:12,890 --> 00:49:17,870
+هنا ستاند بيكون غطينا ما هو مطلوب أن ندرسه خلال
+
+535
+00:49:17,870 --> 00:49:23,530
+مين خلال هذا الفصل إن شاء الله تعالى. الآن افتح
+
+536
+00:49:23,530 --> 00:49:29,090
+المجال لأي تساؤل في دماغك حول المادة حول المثاق
+
+537
+00:49:29,090 --> 00:49:34,590
+حول أي حاجة نفسنا احنا جاهزين لأن نستمع ليه بيحب
+
+538
+00:49:34,590 --> 00:49:36,930
+يسأل أي سؤال عندي؟ التطبيق
+
+539
+00:49:43,600 --> 00:49:46,380
+في غير الملنجة، في الكلام اللي أنجزته، في الكلام
+
+540
+00:49:46,380 --> 00:49:50,440
+اللي بحيث أنه لم يقل وكان من الواجب أن يقال، مع
+
+541
+00:49:50,440 --> 00:49:58,760
+أنه شمال عم نسمع. اه؟ خلاص؟
+
+542
+00:49:58,760 --> 00:50:03,460
+إذا حضرنا ما يكتر منكم، نكتر من هذا القدر. السلام
+
+543
+00:50:03,460 --> 00:50:03,900
+عليكم. 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/GF6rsozA6xI_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/GF6rsozA6xI_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b0e7b08eb83babc1a7b22f0e68c99453c68c2723
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/GF6rsozA6xI_postprocess.srt
@@ -0,0 +1,2172 @@
+1
+00:00:10,020 --> 00:00:16,800
+بسم الله الرحمن الرحيم نرحبكوا في بداية هذا الفصل
+
+2
+00:00:16,800 --> 00:00:22,840
+الجديد و هو الفصل الثاني ان شاء الله هندرس مع بعض
+
+3
+00:00:22,840 --> 00:00:28,040
+اللي متفاضل و متكامل بيه انت طبعا درست ايه بجباجي
+
+4
+00:00:28,040 --> 00:00:28,840
+بقول هنا
+
+5
+00:00:33,610 --> 00:00:45,690
+Calculus بأم Math بألف و أربعانية و واحد هذا
+
+6
+00:00:45,690 --> 00:00:49,530
+طبعا اسم الكتاب اسم المؤلف هو اللي درست منه
+
+7
+00:00:49,530 --> 00:00:56,710
+calculus ايه بالضبط تماما اللي هو Thomas المؤد
+
+8
+00:00:56,710 --> 00:00:57,390
+في الكتاب
+
+9
+00:01:00,330 --> 00:01:06,670
+«عالم أف إديشن»
+
+10
+00:01:06,670 --> 00:01:08,670
+وبالتابعات خانية عشرة
+
+11
+00:01:12,710 --> 00:01:17,730
+وبهذا بالنسبة للمساق بالنسبة للمؤلف بالنسبة لميل
+
+12
+00:01:17,730 --> 00:01:22,930
+لا رقم الطبع انت لو روحت المكتب هتلاقي مؤلفين
+
+13
+00:01:22,930 --> 00:01:26,930
+اخرين وبالتالي يعتبر كل كتب اللي هتلاقي بالكتاب
+
+14
+00:01:26,930 --> 00:01:31,900
+عشر كتب كلها تعتبر مراجعة اليكروح على المكتبة
+
+15
+00:01:31,900 --> 00:01:36,700
+إلكترونيا او فعليا زور المكتبة واتفرج عليها كده
+
+16
+00:01:36,700 --> 00:01:41,960
+ويمكن أن تستعمل بأي كتاب لزيادة المعلومات ان شاء
+
+17
+00:01:41,960 --> 00:01:48,190
+الله تعالى واضح كلامي؟ طيب الآنلعلكوا لأن بعد ما
+
+18
+00:01:48,190 --> 00:01:51,330
+درستوا الفصل الأول في الجامعة انتقلتوا إلى الفصل
+
+19
+00:01:51,330 --> 00:01:56,090
+التاني وبالتالي صار عندنا خبرة في الدراسة الجامعية
+
+20
+00:01:56,090 --> 00:02:00,070
+ووجدنا أنها تختلف كليا عن الدراسة في المرحلة
+
+21
+00:02:00,070 --> 00:02:05,770
+الثانوية إذا صار عندنا خبرة في كيفية الدراسة في
+
+22
+00:02:05,770 --> 00:02:11,530
+الجامعة وهذا الشيء أساسي بحب أذكر ما قلت في بداية
+
+23
+00:02:11,530 --> 00:02:16,750
+الفصل الأوللان لان هو الأساس اللى ايه بدنا نشتغل
+
+24
+00:02:16,750 --> 00:02:22,390
+عليه لان كيف بدنا ندرس دراسة صحيحة ونجيب علامة
+
+25
+00:02:22,390 --> 00:02:27,010
+عالية طبعا المادة انت عارفين اربع ساعات وهذه بترفع
+
+26
+00:02:27,010 --> 00:02:31,930
+المعدل بدرجة كبيرة يا بتنزلوا بدرجة كبيرة يعني
+
+27
+00:02:31,930 --> 00:02:37,830
+مقدشة بتنزل جهد بتلاقي علاماتك لان بدنا نشوف كيف
+
+28
+00:02:37,830 --> 00:02:43,610
+بدنا ندرس دراسة صحيحة نقطة الأولىيريت اتحضر المادة
+
+29
+00:02:43,610 --> 00:02:47,590
+قبل ما تيجي على الجامعة يعني المحاضرة اللي بنشرحها
+
+30
+00:02:47,590 --> 00:02:53,050
+تكون جاريها مارر عليها موضوع زي قراءة الجريدة يكون
+
+31
+00:02:53,050 --> 00:02:57,210
+عندك خالفية بس عن الكلام اللي بدنا نقوله طبعا انت
+
+32
+00:02:57,210 --> 00:03:00,670
+لما تجرى الجريدة بتأخذش كل حاجة فيها لكن العناوين
+
+33
+00:03:00,670 --> 00:03:05,230
+الرئيسية بضل مطموعة في دماغك اذا احنا بدنا نحاول
+
+34
+00:03:05,230 --> 00:03:08,930
+يكون عندنا خالفية على الموضوع قبل ما المدرس يلي
+
+35
+00:03:08,930 --> 00:03:14,330
+يشرح هذه المادةبعد ما درسنا هذه في البيت جينا هنا
+
+36
+00:03:14,330 --> 00:03:19,870
+للمحاضرة بدي أكيد كنت المحاضرة قاعد فعليا و ليس
+
+37
+00:03:19,870 --> 00:03:25,890
+شكليا شكليا يعني قاعد لك المخ أكبر شغال في أبصريش
+
+38
+00:03:25,890 --> 00:03:31,710
+إذا هذا مابستفيدش ولا شيء لكن موجود فعليا موجود
+
+39
+00:03:31,710 --> 00:03:36,010
+على أرض واقع والمخ متابع مع من مع المدرس يتابع ما
+
+40
+00:03:36,010 --> 00:03:41,840
+يقول وينقش ونحو ذلكيبقى هذه شغلة أساسية بالنسبة
+
+41
+00:03:41,840 --> 00:03:48,200
+للطالب حتى يستفيد من خلال شرفنا لهذه المدة طيب
+
+42
+00:03:48,200 --> 00:03:53,440
+قرسنا و تبعنا المخاضرةالنقطة الأولى حضرنا، النقطة
+
+43
+00:03:53,440 --> 00:03:57,180
+التانية تابعنا في المحاضرة، النقطة التالتة أخدنا
+
+44
+00:03:57,180 --> 00:04:01,880
+المحاضرة واحدة على البيت، بروح نجراها المحاضرة و
+
+45
+00:04:01,880 --> 00:04:07,300
+نجرى الأمثلة، الأمثلة تطبيق على الجزء النظري اللي
+
+46
+00:04:07,300 --> 00:04:12,380
+يقيل خلال المحاضرةإذا انت اكتفيت بهذا الكلام و بس
+
+47
+00:04:12,380 --> 00:04:19,180
+معناته انت مادرستش دراسة صحيحة طب هاكملوا دراسة
+
+48
+00:04:19,180 --> 00:04:25,700
+صحيحة بدك تشتغل لوحدك يعني تمسك هالجلم و تبدأ اتحل
+
+49
+00:04:25,700 --> 00:04:31,600
+المسائل اللي كالتك بيحلها طبعا لن يحدث عندك علم
+
+50
+00:04:31,600 --> 00:04:37,050
+إلا إذا مسكت الجلم و اشتغلتلقول الله تبارك وتعالى
+
+51
+00:04:37,050 --> 00:04:42,270
+بسم الله الرحمن الرحيم في سورة القلم نون والقلم
+
+52
+00:04:42,270 --> 00:04:48,830
+وما يسترون يبقى نظرا لأهمية القلم في التعليم أقسم
+
+53
+00:04:48,830 --> 00:04:55,230
+الله تبارك وتعالى بالقلم قال نون والقلم ماجلش وما
+
+54
+00:04:55,230 --> 00:05:01,970
+يكترون فقال وما يسترون لكلمة يسترون أبلغ من كلمة
+
+55
+00:05:02,310 --> 00:05:06,030
+يكتبوا كتابة يعني انت بتكتب لكن انا ممكن اسطر و
+
+56
+00:05:06,030 --> 00:05:10,850
+ارسم و اكتب اذا وما يسطرون و ما يكتبون و ما يرسمون
+
+57
+00:05:10,850 --> 00:05:15,070
+و ما يشكلون من اشكال الى اخرين يبقى من هنا كانت
+
+58
+00:05:15,070 --> 00:05:20,590
+أبلغ و الله سبحانه و تعالى قال في صورة العلق اقرأ
+
+59
+00:05:20,590 --> 00:05:26,090
+باسم ربك الذي خلق خلق الإنسان من علق اقرأ و ربك
+
+60
+00:05:26,090 --> 00:05:34,270
+الأكرم الذي علمبالقلم، وإذا القلم هي الوسيلة
+
+61
+00:05:34,270 --> 00:05:40,170
+الأساسية في التعليم، يبقى أنت بدك تمسك القلم و بدك
+
+62
+00:05:40,170 --> 00:05:44,710
+تروح تحل مسائل لوحدك، هيك بصير عندك علم، لكن بدك
+
+63
+00:05:44,710 --> 00:05:50,070
+تكتفي تجرأ قراءة نظرية أنت صار عندك معلومات لكن
+
+64
+00:05:50,070 --> 00:05:54,310
+المعلومات هذه مش كتير، مش ثابتة في المخ، لكن لما
+
+65
+00:05:54,310 --> 00:05:59,550
+تشتغل تلزج عندك و كتال يبصيرمن أهل الدراية و أهل
+
+66
+00:05:59,550 --> 00:06:05,170
+العلم طيب درسنا و حلينا المسائل لكن لما حلينا
+
+67
+00:06:05,170 --> 00:06:10,430
+المسائل صعبت علينا شوية مسائل اعش ساعة discussion
+
+68
+00:06:10,430 --> 00:06:14,990
+مناقشة مع المعيد باجي انا على ساعة ال discussion
+
+69
+00:06:14,990 --> 00:06:21,350
+هذه و بروح بحضر ال discussion بالتزم بالوقت المحدد
+
+70
+00:06:22,390 --> 00:06:26,050
+انت اللي بدك تشغل المعيد مش المعيد اللي يشغلك طب
+
+71
+00:06:26,050 --> 00:06:29,750
+كيف انت بدك تشغل المعيد؟ اذا كنت حالل في الدار
+
+72
+00:06:29,750 --> 00:06:34,050
+يبقى انت محضر الأسلوب تسأله لكن اذا كنت مش حالل في
+
+73
+00:06:34,050 --> 00:06:38,230
+الدار ايش ما يكتب على اللوح و ترسم زيه ترسم رسم
+
+74
+00:06:38,230 --> 00:06:42,330
+على اللوح و استيعابك الله أعلم فيه لكن لما تكون
+
+75
+00:06:42,330 --> 00:06:47,140
+انت محضر و حاللالموضوع مختمر في دماغك و انت فاهمه
+
+76
+00:06:47,140 --> 00:06:51,960
+تماما فانت روحت تسأله الأسئلة التي صعبت عليك
+
+77
+00:06:51,960 --> 00:06:57,580
+وبالتالي انت استفدت طيب نفترض ان احنا ماجدرناش
+
+78
+00:06:57,580 --> 00:07:03,320
+نناقش كل الأسئلة الأثناء ساعة ال discussion اللي
+
+79
+00:07:03,320 --> 00:07:08,380
+موجودة خلال الأسبوعقدامك طريقين يا بروح للمعيد على
+
+80
+00:07:08,380 --> 00:07:14,000
+مكتبه و باسأله يا بتجيني انا في الساعة المكتبية او
+
+81
+00:07:14,000 --> 00:07:18,040
+غير المكتبية لو وجدتني لو وجدت في الساعة المكتبية
+
+82
+00:07:18,040 --> 00:07:22,200
+ملتزم بجود في المكتب استناك بتجي اهلا و سهلا بتجيش
+
+83
+00:07:22,200 --> 00:07:26,720
+بصير انت على كيسك و انا الطالب اللي بيجي بيسألني
+
+84
+00:07:26,720 --> 00:07:30,380
+احب الى نفسي من الطالب اللي بيجيش يسأل لإن اللي
+
+85
+00:07:30,380 --> 00:07:34,600
+بيسأل بعرف ان هو ده بيشتغللكن اللي بيجيش يسأل مانت
+
+86
+00:07:34,600 --> 00:07:39,480
+بيشتغلش ولا بيحل ولا بيسوي عجب يبقى هذا الطالب زي
+
+87
+00:07:39,480 --> 00:07:43,540
+ما فهمه ضال فهمه محدود لكن لما تحتك في المدرس
+
+88
+00:07:43,540 --> 00:07:48,880
+اتروحله على المكتب تسأله اتناقشه حتى بتوسع ذهنك
+
+89
+00:07:48,880 --> 00:07:52,900
+اسألني كمان في خلال المحاضرة ماعندي مانع انا أسر
+
+90
+00:07:52,900 --> 00:07:58,160
+من الطالب اللي يسأل لأنه فهم وبالتالي أشكلت عليه
+
+91
+00:07:58,160 --> 00:08:02,680
+بعض الأمور فبيجوم وبيسأل فيهاوبالتالي بتكون أنت مش
+
+92
+00:08:02,680 --> 00:08:07,980
+أفدت نفسك أفدت عشرين طالب زيك من خلال مين؟ من خلال
+
+93
+00:08:07,980 --> 00:08:14,040
+السؤال اللي بتابعك والمناقشة ضرورية جدا لمين؟
+
+94
+00:08:14,040 --> 00:08:20,880
+للتعليم أخي لن تنال العلم إلا بستة سأنبيك عن
+
+95
+00:08:20,880 --> 00:08:28,260
+تأويلها ببياني ذكاءوطبعا هذا موزع على الإنسان زي
+
+96
+00:08:28,260 --> 00:08:32,760
+الأرزاق، واحد قابل كمية تانية صحيح وطبعا درجات
+
+97
+00:08:32,760 --> 00:08:38,200
+بصير متفاوتة وصعبة، لكن وحارسهم حريص على التعليم
+
+98
+00:08:38,200 --> 00:08:43,620
+واجتهادهم، بدك تجتهد في الأمور اللي صعبة عليك حتى
+
+99
+00:08:43,620 --> 00:08:48,940
+تصل لها وبلغةاللي هو البلوغ إلى مين؟ إلى الهدف
+
+100
+00:08:48,940 --> 00:08:56,640
+يبقى ذكاء وحرص واجتهاد وبلغة وصحبة أستاذ وطول زمان
+
+101
+00:08:56,640 --> 00:09:00,300
+صحبة الأستاذ مستهدف سيجارة وخد سيجارة ولا تشحت
+
+102
+00:09:00,300 --> 00:09:04,180
+مسكلتك ويركب عليه وروح لمشواره صحبة الأستاذ هو
+
+103
+00:09:04,180 --> 00:09:09,460
+الذهاب للمدرس والسؤال وجابك وبالتالي انت يا أستاذ
+
+104
+00:09:09,460 --> 00:09:14,080
+تاني ان هذه هي صحبةالأستاذ وطول زماني يبقى ذكاء
+
+105
+00:09:14,080 --> 00:09:21,420
+وحرص واجتهاد وبنغة وصحبة أستاذ وطول زماني، هيك
+
+106
+00:09:21,420 --> 00:09:26,740
+بصير من أهل الدراية وأهل العلم طيب ذهبنا للمؤيد
+
+107
+00:09:26,740 --> 00:09:31,610
+على مكتب وما لاجيناش؟ذهبت الي و مالاقيتنيش في غير
+
+108
+00:09:31,610 --> 00:09:34,930
+الساعة المكتبية لقيتلي في الساعة المكتبية و اللي
+
+109
+00:09:34,930 --> 00:09:38,810
+في غير المكتبية بجاوبك تخجلش تعالي في أي وقت لكن
+
+110
+00:09:38,810 --> 00:09:41,770
+في الساعة المكتبية انا ملتزم اكون قاعد وياه في
+
+111
+00:09:41,770 --> 00:09:46,890
+المكتب في انتظارك طيب روحنا و سألنا و كل شي تمام
+
+112
+00:09:46,890 --> 00:09:51,310
+كل الأمور هذه اللي نفذناها بحذافرية ضايق للامتحان
+
+113
+00:09:51,310 --> 00:09:57,340
+اسبوع والله عشر ايام مثلامطلوب انك تروح على
+
+114
+00:09:57,340 --> 00:10:01,500
+المكتبة الطالب و تطبق اللي هو نماذج من الامتحانات
+
+115
+00:10:01,500 --> 00:10:08,760
+السابقة مشان تعرف كيف الممتحن بيفكر في وضع الأسئلة
+
+116
+00:10:08,760 --> 00:10:14,450
+كيف بيربط المواضيع مع بعضها البعضهك بصير عندك
+
+117
+00:10:14,450 --> 00:10:19,690
+دراية حتى بكيفية وضع الأسئلة وبالتالي انت لا
+
+118
+00:10:19,690 --> 00:10:24,270
+تتفاجأ في الامتحان بأي شيء جديد ممكن الفكرة مالاش
+
+119
+00:10:24,270 --> 00:10:27,650
+سادة جت الفكرة التالية ممكن الفكرة اللي انت عرفتها
+
+120
+00:10:27,650 --> 00:10:33,030
+اتطورت شوية إلى آخره يبقى دورة هك بقول حسب علمى
+
+121
+00:10:33,030 --> 00:10:37,720
+ودراية المتواضعةبتكون انت ان شاء الله يعني مشيت
+
+122
+00:10:37,720 --> 00:10:44,000
+على الطريق الصحيح لنيل الدرجات العليا خاصة في
+
+123
+00:10:44,000 --> 00:10:47,880
+المادة هذه و في بقية المواد استعمل هذه الطريقة
+
+124
+00:10:47,880 --> 00:10:52,840
+بإذن الله بيكون عندك علم و فهم و جيب درجة عليها في
+
+125
+00:10:52,840 --> 00:10:56,520
+الامتحان و ما إلى ذلكوإذا مشيت بهذا الطريقة بصير
+
+126
+00:10:56,520 --> 00:11:02,460
+أنت postal لأقرانك القلاب من الجامعات الأخرى بصير
+
+127
+00:11:02,460 --> 00:11:07,380
+أنت مارجع لهم تمام؟ يبقى هذه كيفية الدراسة نجي
+
+128
+00:11:07,380 --> 00:11:11,800
+لتوزيع الدرجات توزيع الدرجات على مساقة عشرين درجة
+
+129
+00:11:11,800 --> 00:11:17,750
+للامتحان الأولعشرين درجة للامتحان الثاني، عشر
+
+130
+00:11:17,750 --> 00:11:22,550
+درجات في يد المعيد لل discussion يعملها quizzate
+
+131
+00:11:22,550 --> 00:11:26,210
+يعملها discussion على الحضور والغياب، لهو مطلق
+
+132
+00:11:26,210 --> 00:11:30,870
+الحرية ولا دخل ليه في هذه العشر درجاتإن جبهالي عشر
+
+133
+00:11:30,870 --> 00:11:34,530
+و بحطولك عشرة جبهالي تلتة و بحطولك تلتة زي ما هي
+
+134
+00:11:34,530 --> 00:11:40,230
+ماليش دخل فيها يبقى بدك تحلص على الحضور بعكس ما
+
+135
+00:11:40,230 --> 00:11:43,730
+عملنا في كل قلصي ما اعتمداش العشر درجة لكن الفصل
+
+136
+00:11:43,730 --> 00:11:47,770
+هذا اعتمدها ان شاء الله تعالى يبقى عشرين لامتحان
+
+137
+00:11:47,770 --> 00:11:51,790
+الأول عشرين لتاني عشر درجة في هذه المعيد هذه خمسين
+
+138
+00:11:51,790 --> 00:11:56,450
+هي عمل الفصل الخمسين تانية لامتحان النهائي
+
+139
+00:11:56,450 --> 00:12:02,720
+الامتحان الأول يكونخلي بالك معايا بعد اربعين يوما
+
+140
+00:12:02,720 --> 00:12:06,520
+من بدء الدراسة يعني بعد اربعين يوم انهينا و طالع
+
+141
+00:12:06,520 --> 00:12:11,280
+يمكن بعدها بيومين تلاتة اربع ايام قبلها بيومين الى
+
+142
+00:12:11,280 --> 00:12:16,260
+اخره يبقى في هذه الفترة حولنا هذه الفترة تاهيل
+
+143
+00:12:16,260 --> 00:12:23,720
+نفسك انك تجرى من البداية تمام؟ و إياك أن تؤجل عمل
+
+144
+00:12:23,720 --> 00:12:28,970
+اليوم إلى الغدمحاضرات بتاخدها بتروح تجراها، تمام؟
+
+145
+00:12:28,970 --> 00:12:31,990
+ان خليتها لبكرا، اذا بدها تلت ساعة جراها، بكرا بده
+
+146
+00:12:31,990 --> 00:12:37,370
+تلتين ساعة، ان خليتها لنهاية الأسبوع بده ساعتين،
+
+147
+00:12:37,370 --> 00:12:41,740
+لراسة حتى تستوى و تبدأ تشتغلو هكذا و بدى يتراكم
+
+148
+00:12:41,740 --> 00:12:46,140
+عليك مواد كثيرة يبقى استغل وقتك و أنظم وقتك بطريقة
+
+149
+00:12:46,140 --> 00:12:51,700
+صحيحة بحيث تعمل توازن بين المساقات الأخرى كل واحد
+
+150
+00:12:51,700 --> 00:12:56,160
+يلو فترة من الدراسة وبالتالي بنمشي و نمشي صحيح أو
+
+151
+00:12:56,160 --> 00:13:01,600
+ندرس دراسة صحية هذا بالنسبة لكيفية الدراسة و
+
+152
+00:13:01,600 --> 00:13:07,100
+بالنسبة لتوزيع الدرجات أما عن الساعات المكتبية سجل
+
+153
+00:13:07,100 --> 00:13:15,850
+اللي عندكيوم الأحد والثلاثاء من العشرة للاطماعش
+
+154
+00:13:15,850 --> 00:13:19,430
+ونص أحد
+
+155
+00:13:19,430 --> 00:13:25,730
+وثلاثاء من العشرة للاطماعش ونص هذا أنا ملتزم أكون
+
+156
+00:13:25,730 --> 00:13:29,850
+موجود في المكتب في غير ذلك لو جيت في أي ساعة أخرة
+
+157
+00:13:29,850 --> 00:13:33,410
+ولا جيتني قبل هذا الوقت بعد هذا الوقت في أي يوم
+
+158
+00:13:33,410 --> 00:13:38,320
+آخر أنا جاهز ماعندي مشكلةيبقى إياك أن تدخل على
+
+159
+00:13:38,320 --> 00:13:43,780
+نفسكطيب انتهينا من السعادة المكتبية انتهينا من
+
+160
+00:13:43,780 --> 00:13:50,020
+توزيع الدرجات الباقي الآن أن نشير إلى ما سندرسه في
+
+161
+00:13:50,020 --> 00:13:55,700
+هذا الحصل يعني الخطوط العريضة لمساق تفاضل و تكارؤ
+
+162
+00:13:55,700 --> 00:14:01,120
+ال B اول شي انت في تفاضل A درست six chapters ست
+
+163
+00:14:01,120 --> 00:14:05,060
+شباتر درست تمين فكرة كولصية احنا الحمد لله في كل
+
+164
+00:14:05,060 --> 00:14:10,810
+كولص بيه بس اربعة شباترwar chapters لكن الأربعة
+
+165
+00:14:10,810 --> 00:14:15,250
+شباتات أتقل من الستة ليش؟ لأن الست هي تبعت
+
+166
+00:14:15,250 --> 00:14:19,210
+الثانوية العامة بس واسعانها شوية بس هذا في غالب
+
+167
+00:14:19,210 --> 00:14:23,350
+جديد يعني خمسة وتسعين في المية من كلقل أصمي كله
+
+168
+00:14:23,350 --> 00:14:28,020
+جديد ماشوفتوش في الثانوية العامةطب إيش بيعتمد على
+
+169
+00:14:28,020 --> 00:14:31,760
+الأشياء السابقة؟ بيعتمد على ما درست فيه Calculus
+
+170
+00:14:31,760 --> 00:14:36,220
+يعني مثل قواعد التفاضل، بعض قواعد التكامل اللي
+
+171
+00:14:36,220 --> 00:14:40,220
+دخلتها زي التكامل والتعويض أو نحو ذلكالدول
+
+172
+00:14:40,220 --> 00:14:46,280
+المثلثية عمود فقري في دراستنا اللي هو section 1
+
+173
+00:14:46,280 --> 00:14:50,180
+تلاتة من كل قلصية اللي هو ال trigonometric
+
+174
+00:14:50,180 --> 00:14:55,080
+functions وما يتعلق بيها لأن يا شباب حساب المثلثات
+
+175
+00:14:55,080 --> 00:15:00,500
+مثل ملح الطعام الذي لا يستغلى عنه أي أكلة بدك
+
+176
+00:15:00,500 --> 00:15:04,540
+تاكلها، لا يستغليش عن الملح، الرياضية الملح تبعها
+
+177
+00:15:04,540 --> 00:15:10,550
+هو حساب المثلثات، واضح كلامي؟طيب تمام نيجي الآن
+
+178
+00:15:10,550 --> 00:15:14,630
+لكل chapter من ال chapters اللي بنانا ندرسها وما
+
+179
+00:15:14,630 --> 00:15:19,610
+يحتوي in general يعني مش هتكلم كلام تفصيل هحط
+
+180
+00:15:19,610 --> 00:15:23,170
+الخواطب العريضة زي .. زي اللي ما تسمع ال national
+
+181
+00:15:23,170 --> 00:15:27,350
+أخبار بيقولك كان هذا هو الموجز وإليه كل تفصيل
+
+182
+00:15:27,350 --> 00:15:31,390
+بيحطله خبرين تلاتة أربعةفي البداية و بعدين بيبدأ
+
+183
+00:15:31,390 --> 00:15:35,110
+يفصل فيه و احنا هنفصل على مدار الأربعة أشهر لكن في
+
+184
+00:15:35,110 --> 00:15:40,050
+البداية بنحطلك المعلومات كلها في نصف ساعة تقريبا
+
+185
+00:15:40,050 --> 00:15:46,170
+ابنجي انت خلصت من chapter 1 لغاية chapter 6 ابنبدأ
+
+186
+00:15:46,170 --> 00:15:53,640
+ب chapter 7يبقى شبتر سبعة بدنا ندرس فيه مجموعة من
+
+187
+00:15:53,640 --> 00:15:57,940
+الدوال هنسمي هذا .. طبعا انت درست بعض الدوال في
+
+188
+00:15:57,940 --> 00:16:02,600
+calculus ايه؟ الان احنا بدنا نتجلك الكلمة شوية
+
+189
+00:16:02,600 --> 00:16:08,520
+يعني بدنا نجيبلك بعض الدوال اللي مادرستاش قبل ذلك
+
+190
+00:16:08,520 --> 00:16:12,580
+الشبتر سبعة بنسمي ل Transcendental
+
+191
+00:16:21,550 --> 00:16:25,030
+ماذا يعني Transcendental Functions؟ يعني الدوال
+
+192
+00:16:25,030 --> 00:16:31,050
+أسامية نقول yes هو يعني بيرتفع شوية احنا بنرفع من
+
+193
+00:16:31,050 --> 00:16:36,410
+قدرك شوية من ناحية العلم أول شي درسنا في كل
+
+194
+00:16:36,410 --> 00:16:42,710
+كولوسيا أول section دخلته هو ال functions تمام؟ هى
+
+195
+00:16:42,710 --> 00:16:47,110
+الأول section اللى هناخده اللى هو ال inverse
+
+196
+00:16:48,140 --> 00:16:56,360
+functions الهمين هي كمسات الدوال طبعا المحاضرة
+
+197
+00:16:56,360 --> 00:17:00,840
+القادمة ان شاء الله هخش فيها تفصيليا بعد ال
+
+198
+00:17:00,840 --> 00:17:06,020
+inverse functions هنجي لحاجة اسمها logarithmic
+
+199
+00:17:06,020 --> 00:17:09,460
+functions
+
+200
+00:17:09,460 --> 00:17:14,820
+الهمين اللي هو الدوال ال logarithmية
+
+201
+00:17:17,090 --> 00:17:20,590
+الدول اللغارتمية هناخد حاجة اسمها ال nature of
+
+202
+00:17:20,590 --> 00:17:26,410
+logarithm اللي هو اللغارتم الطبيعي و بعد هيك هنتقل
+
+203
+00:17:26,410 --> 00:17:31,210
+الى اللغارتم العادى انتم في التانوية العامة سمعتوا
+
+204
+00:17:31,210 --> 00:17:36,370
+بحكاية الاساس عشرة تبع اللغارتم احنا هناخد اي رقم
+
+205
+00:17:36,370 --> 00:17:41,930
+موجب غير الواحد الصحيح طبعا فكيف دراستنا مبنية
+
+206
+00:17:41,930 --> 00:17:46,590
+عليه هنجي لحاجة اسمها ال exponential function
+
+207
+00:17:52,350 --> 00:17:57,670
+الدوال الأُصية بعد
+
+208
+00:17:57,670 --> 00:18:03,010
+ذلك يوجد نوعين من الدوال النوع الأول نسميه inverse
+
+209
+00:18:03,010 --> 00:18:07,090
+trigonometric
+
+210
+00:18:07,090 --> 00:18:11,410
+functions
+
+211
+00:18:13,870 --> 00:18:18,330
+معكوس الدول المثلثية الدول المثلثية اللى دراستها
+
+212
+00:18:18,330 --> 00:18:26,230
+في Calculus A هي 6 دول بدنا نشوف معكوسات هذه الدول
+
+213
+00:18:26,230 --> 00:18:29,250
+بعدين بيجينا hyperbolic functions
+
+214
+00:18:35,760 --> 00:18:41,140
+يبقى الدوال الزائدية الدوال الزائدية بتعتمد في
+
+215
+00:18:41,140 --> 00:18:44,900
+تعريفها على ال exponential functions يعني هدول
+
+216
+00:18:44,900 --> 00:18:48,420
+اتنين مربطات في بعض يبقى هذه الألوان من الدوال
+
+217
+00:18:48,420 --> 00:18:55,900
+المختلفة اللتي ستدرس في هذا الفصل او في هذا ال
+
+218
+00:18:55,900 --> 00:19:00,520
+chapter طيب الدول هذا شو بنروس بالنسبالها؟بنقول
+
+219
+00:19:00,520 --> 00:19:05,820
+بسيطة هذه الدوال بدنا ندرس بالنسبة لها بدنا ندرس
+
+220
+00:19:05,820 --> 00:19:10,680
+ما يأتي لكي نعطي تعريف لكل دالة من هذه الدوال وبعد
+
+221
+00:19:10,680 --> 00:19:16,760
+ما نعطي تعريف لكل دالة من هذه الدوال بدنا .. بعد
+
+222
+00:19:16,760 --> 00:19:20,680
+ما نعطي تعريف لكل دالة من هذه الدوال بدنا نشوف ال
+
+223
+00:19:20,680 --> 00:19:25,900
+limits لهذه ال functions و ال domain و ال range و
+
+224
+00:19:25,900 --> 00:19:30,670
+الرسم البياني و ال derivatives و ال integralsيبقى
+
+225
+00:19:30,670 --> 00:19:38,650
+هذه الدوال نعطيها definition و ناخد ال domain و
+
+226
+00:19:38,650 --> 00:19:47,250
+ناخد ال range لهذه الدول و ناخد ال graphs الرسومات
+
+227
+00:19:47,250 --> 00:19:54,290
+البيانية لهذه الدول و ناخد لها ال limits و ناخد
+
+228
+00:19:54,290 --> 00:19:55,250
+لها ال derivatives
+
+229
+00:20:03,480 --> 00:20:09,080
+أما كم دراسة سابقة للدوال البسيطة اللى اتعرفنا
+
+230
+00:20:09,080 --> 00:20:13,300
+عليه بكل قلصية هنسحبه كله عالمين على الدوال
+
+231
+00:20:13,300 --> 00:20:20,370
+الجديدة اللى عندناطيب في الدول المثلثية مثلا أخدنا
+
+232
+00:20:20,370 --> 00:20:24,790
+ال derivative تبع ال 6 دول مثلثية لكن التكامل
+
+233
+00:20:24,790 --> 00:20:29,890
+أخدنا تكامل ال sine و ال cosine فقط لا غير، مظبوط؟
+
+234
+00:20:29,890 --> 00:20:33,150
+هنيجي في كل قناص بين كامل التان و الكتان و ال
+
+235
+00:20:33,150 --> 00:20:36,630
+second و ال cosecant كلهم و بالتالي بيكون غطيناهم
+
+236
+00:20:36,630 --> 00:20:41,440
+كلهم تماماولحو ذلك يبقى هذه الأمور اللي هنبرسها
+
+237
+00:20:41,440 --> 00:20:46,340
+خلالها بنضيف عليها مدام نتكلم عليها طريقة جديدة من
+
+238
+00:20:46,340 --> 00:20:50,580
+اللي نسلمنا برسها في calculus A اللي هي عبارة عن
+
+239
+00:20:50,580 --> 00:20:57,960
+قاعدة Lobital Lobitals All
+
+240
+00:20:57,960 --> 00:21:05,710
+اللي هي قاعدة Lobital لإيجاد النهاياتوهذا بنستخدمه
+
+241
+00:21:05,710 --> 00:21:11,490
+في وضع خاص سنتعرض له في حينين وبنظر إلى آخر
+
+242
+00:21:11,490 --> 00:21:15,450
+section موجود في هذا ال chapter حاجة اسمها
+
+243
+00:21:15,450 --> 00:21:22,310
+relative rates of أجراف
+
+244
+00:21:25,600 --> 00:21:31,640
+بنشوف كيف سلوك دلتين او تطور الدلتين او نمو
+
+245
+00:21:31,640 --> 00:21:36,200
+الدلتين لانما ال X تكبر تصل الى مالة نهاية طبعا
+
+246
+00:21:36,200 --> 00:21:40,460
+ماحدش بوصل لبنان يقول لما ال X تنز تاوله الى مالة
+
+247
+00:21:40,460 --> 00:21:45,540
+نهاية بنشوف مين أسرع منه التانية مين أبطأ منه
+
+248
+00:21:45,540 --> 00:21:52,010
+التانية هل الدلتينThe same rate يعني بالطور أو من
+
+249
+00:21:52,010 --> 00:21:56,810
+نفس المعدل الأولى هذا الموضوع هذا ال section يبقى
+
+250
+00:21:56,810 --> 00:22:01,950
+هذا كل ما يتعلق ب chapter 7 بعد chapter 7 نروح
+
+251
+00:22:01,950 --> 00:22:07,510
+لمين؟ ل chapter 8 chapter 8 يا شباب اللي هو
+
+252
+00:22:07,510 --> 00:22:12,030
+techniques of integration
+
+253
+00:22:17,750 --> 00:22:22,750
+ماذا يعني technique بالعربي؟طرق
+
+254
+00:22:22,750 --> 00:22:27,070
+المختلفة
+
+255
+00:22:27,070 --> 00:22:32,510
+للتكامل ماهي الطرق اللي بنستخدمها في مكامل الدالة
+
+256
+00:22:32,510 --> 00:22:38,350
+طبعا هذه كل كلاسية خدنا التكامل بالتعويض وخدنا
+
+257
+00:22:38,350 --> 00:22:43,360
+التكاملات البسيطة العاديةلكن هنا في الثانوية
+
+258
+00:22:43,360 --> 00:22:47,500
+العامة اخدت integration by parts التكمل بالأجزاء
+
+259
+00:22:47,500 --> 00:22:51,200
+اللى احنا بنتسميه تكمل بالتجزيد يبقى حالت ده من
+
+260
+00:22:51,200 --> 00:22:55,860
+جديد بس مانا واسعهلك كتير عن الثانوية العامة يبقى
+
+261
+00:22:55,860 --> 00:23:03,240
+حالت ده اول شغل اللى هو integration by
+
+262
+00:23:03,240 --> 00:23:11,910
+parts التكمل بالتجزيد بعد هيكهنشرح القاعدة تبع
+
+263
+00:23:11,910 --> 00:23:16,970
+التكامل بالتجزيد نبدأ ناخد أمثلة مختلفة عليها في
+
+264
+00:23:16,970 --> 00:23:21,670
+أوضاع مختلفة للمسائل لكن كلها بالضغوط حول نفس مين
+
+265
+00:23:21,670 --> 00:23:26,670
+نفس المفهوم لك هتلاقي فرق شاسع بين اللي أخدته في
+
+266
+00:23:26,670 --> 00:23:30,450
+التوجيه و بين ايه و بين اللي بناخده هنا في الجامعة
+
+267
+00:23:31,040 --> 00:23:34,940
+بعد ذلك نجي لحاجة تسمى trigonometric integrals
+
+268
+00:23:34,940 --> 00:23:40,340
+التكاملات المجتملة على دوا المثلثية يبقى هنا
+
+269
+00:23:50,850 --> 00:23:55,250
+التكاملات اللي اجتمل على دالة مثلثية مثلا دالة
+
+270
+00:23:55,250 --> 00:24:00,290
+مثلثية زي sin sin أُس خمسة بدئة كاملة sin أُس خمسة
+
+271
+00:24:00,290 --> 00:24:08,510
+xdx مثلا تان أُس ستة xdx حاصل ضرب sin في كسان هذه
+
+272
+00:24:08,510 --> 00:24:13,370
+مرفوعة لأس وهذه مرفوعة لأس حاصل ضرب second في تان
+
+273
+00:24:13,660 --> 00:24:18,020
+هذه مرفوعة لأسس وهذه مرفوعة لأسس يعني دوا المثلثية
+
+274
+00:24:18,020 --> 00:24:23,020
+بدنا نضربهم في بعض نرفعهم لأسس نخلي الزوايا مختلفة
+
+275
+00:24:23,020 --> 00:24:28,260
+هذه مثلا كانت من X هذه الصين خمسة X إلى آخرين بدنا
+
+276
+00:24:28,260 --> 00:24:33,260
+ناخد القواعد كيفية التكامل مثل هذه المسائل وهذه لم
+
+277
+00:24:33,260 --> 00:24:38,430
+نتعرض لها في calculus A على الإطلاقبعد الـ
+
+278
+00:24:38,430 --> 00:24:44,310
+trigonometric integrals بدنا نجي لطريقة الأساسية
+
+279
+00:24:44,310 --> 00:24:48,130
+الثانية وهي الـ trigonometric substitution
+
+280
+00:24:48,130 --> 00:25:00,810
+التعويير
+
+281
+00:25:00,810 --> 00:25:09,500
+بضالة مثلثية بكالكولاس Aأخدنا تعويض بدالة عادية
+
+282
+00:25:09,500 --> 00:25:13,400
+بشوف في الشغل اللي ممكن تعويض باللغة الشكل في
+
+283
+00:25:13,400 --> 00:25:18,100
+الcalculus و بنشيلها و بنحط بدالة متغيرة بنطف شكل
+
+284
+00:25:18,100 --> 00:25:22,640
+المثلة و بخليها مثلة لطيفة مقدور عليها وبالتالي
+
+285
+00:25:22,640 --> 00:25:27,900
+بنكامل و بتمشي الأمور طبعا هنا لأ بدي أعوض في
+
+286
+00:25:27,900 --> 00:25:32,300
+بدالة مش مفلغية بدي عارف أن ال sign
+
+287
+00:25:36,590 --> 00:25:41,150
+ليش التلاتة التانيات؟ لأ هنقولك في أهيني ليش طبعا
+
+288
+00:25:41,150 --> 00:25:46,300
+كله هيقبل لنفسه النتيجةيبقى الـ Trigonometric
+
+289
+00:25:46,300 --> 00:25:50,040
+Substitution التكامل بس التعويض في ذلك المثال، ليس
+
+290
+00:25:50,040 --> 00:25:56,060
+لكل مسألة، لبعض المسائل اللي بتكون بشكل معين، في
+
+291
+00:25:56,060 --> 00:26:00,940
+حينها سنكون كما هذا الشكل، ده طبعا الأخر طريقة من
+
+292
+00:26:00,940 --> 00:26:04,040
+طرق التكامل اللي هو integration by partial
+
+293
+00:26:04,040 --> 00:26:11,700
+fractions اللي هو بعدها ال partial fractions
+
+294
+00:26:16,020 --> 00:26:21,800
+قررتش ال directions من معمله الأمام لدوال اللي
+
+295
+00:26:21,800 --> 00:26:26,460
+بتبقى rational functions دوال نسبة ال polynomial
+
+296
+00:26:26,460 --> 00:26:31,340
+في البث ال polynomial في المقام و هنشوف كيف هنا
+
+297
+00:26:31,340 --> 00:26:35,300
+اللي اتعلمنا و احنا في الإبتدائي و الإعدادي و
+
+298
+00:26:35,300 --> 00:26:40,760
+الثانوي جمع الكثورعندي كسرين تلاتة اربعة بقدر
+
+299
+00:26:40,760 --> 00:26:45,520
+أجمعهم بوساطة المضاعف المشترك و بعمله كسر واحد هنا
+
+300
+00:26:45,520 --> 00:26:49,060
+عن العملية العكسية اللي ما اتعلمناهاش في المدرسة
+
+301
+00:26:49,060 --> 00:26:52,560
+الدولية و الثانوية و غيرها كيف العملية العكسية؟
+
+302
+00:26:52,560 --> 00:26:58,570
+انا عندي كسر و بدي ارجعه الى أصبه مجموعة للكسربكون
+
+303
+00:26:58,570 --> 00:27:02,490
+عندي rational function على الشكل كسر وبدي أحولها
+
+304
+00:27:02,490 --> 00:27:07,970
+إلى دلتين أو كلاتة أو أربعة ومن ثم لأقوم بإجراء
+
+305
+00:27:07,970 --> 00:27:12,950
+عملية التكامل يعني بصدق المسألة التي صعب علينا
+
+306
+00:27:12,950 --> 00:27:18,310
+تكملها إلى مجموعة تكملات سهلة وميسورة يبقى هذه
+
+307
+00:27:18,310 --> 00:27:24,470
+اليمين ال partial fractions أي الكسور الجزئية بقيت
+
+308
+00:27:24,470 --> 00:27:25,990
+مقطة واحدة فيها
+
+309
+00:27:39,300 --> 00:27:46,320
+مقالات المعتلة التكاملات المعتلة المعتلة هي اللي
+
+310
+00:27:46,320 --> 00:27:51,240
+فيها علّة معينة اول شيء هذه التكاملات تكاملات
+
+311
+00:27:51,240 --> 00:27:56,520
+محدودة العلّة قد تكون في التكامل وقد تكون في
+
+312
+00:27:56,520 --> 00:28:01,520
+الدالة المرتكاملهاالهيلة الموجودة في التكامل قد
+
+313
+00:28:01,520 --> 00:28:07,180
+يكون أحد حدود التكامل أو كلاهما infinity وهذا لم
+
+314
+00:28:07,180 --> 00:28:12,260
+نتعرف به من قبل مرة شهلينة في الكلقو لصقية أن تقول
+
+315
+00:28:12,260 --> 00:28:17,220
+تكامل من رقم لمال نهاية أو تكامل من سمب مال نهاية
+
+316
+00:28:17,220 --> 00:28:21,860
+لرقم أو تكامل من سمب مال نهاية لمال نهاية هذا كله
+
+317
+00:28:21,860 --> 00:28:25,540
+لم نتعرف به في الكلقو لصقية على الإطلاق يبدو هذه
+
+318
+00:28:25,540 --> 00:28:26,380
+الشغلة الجديدة
+
+319
+00:28:31,550 --> 00:28:36,210
+الدالة المراد تكاملها هذا العلم الثاني ايش مانت
+
+320
+00:28:36,210 --> 00:28:40,950
+الدالة المراد تكاملها الدالة اللى بدنا نتكاملها قد
+
+321
+00:28:40,950 --> 00:28:47,150
+تكون غير معرفة عند نقطة وهذه النقطة موجودة داخل
+
+322
+00:28:47,150 --> 00:28:53,390
+فترة التكامل كيف يعني لغة مرسك بده تكامل من واحد
+
+323
+00:28:53,390 --> 00:29:01,540
+الى خمسة لديه x على x ناقص ثلاثة لكل تقييمهل
+
+324
+00:29:01,540 --> 00:29:05,500
+الدالة معرفة عندك سواء ثلاثة؟ طبعا لأ، ثلاثة
+
+325
+00:29:05,500 --> 00:29:10,900
+موجودة من واحد لخمسة مع يبقى هذا improper انتجرال
+
+326
+00:29:10,900 --> 00:29:17,560
+تمام؟ يبقى .. هنعرف كيف هنحسب مثل هذا التكامل و
+
+327
+00:29:17,560 --> 00:29:24,180
+هتظهر عندنا كلمتين جداد لم نكن نفهمها من قبل ان
+
+328
+00:29:24,180 --> 00:29:29,880
+التكامل هذا قد يكون converged و قد يكون perverged
+
+329
+00:29:30,200 --> 00:29:36,580
+مثل الـ Improper Integral هذا قد يكون انه Converge
+
+330
+00:29:36,580 --> 00:29:43,000
+وقد يكون Converge، واحدة من الأثنين، لا خالص مهما.
+
+331
+00:29:44,190 --> 00:29:48,110
+وإما التكامل يطلع conversion، conversion يعني إيش
+
+332
+00:29:48,110 --> 00:29:53,730
+تقاربه، يعني لما تحسب إن التكامل هذا بدي يطلع عندي
+
+333
+00:29:53,730 --> 00:29:59,590
+رقم، قيمة عددية طبعا، لإحتمالة أنه يطلع مالا لها
+
+334
+00:29:59,590 --> 00:30:01,510
+أو لخفة نمط
+
+335
+00:30:06,330 --> 00:30:10,210
+لذالك عندما تدخل في الـ improper integral ستسمع أو
+
+336
+00:30:10,210 --> 00:30:14,650
+تجي على كلمة سامعك كلمة converge او divergence
+
+337
+00:30:14,650 --> 00:30:19,430
+اللي كنت بتسمعها في الشبطر من اهل لغاية ما نوصل
+
+338
+00:30:19,430 --> 00:30:25,110
+هنا ال section طبعا؟ طبعا كويس هدول ال two
+
+339
+00:30:25,110 --> 00:30:29,570
+chapters اذا شباب الشبطر الاول بدوا شهرا كاملا
+
+340
+00:30:29,570 --> 00:30:36,410
+احنا ندرس فيه الشبطر الثاني بنجيبه في اسمين و نصهو
+
+341
+00:30:36,410 --> 00:30:41,010
+يعني قصير بس الشتر الأول طويل.طيب نجي للشتر اللي
+
+342
+00:30:41,010 --> 00:30:46,150
+بعده.الشتر اللي بعده هذا شتر كان يدوني للشتر تسعة
+
+343
+00:30:46,150 --> 00:30:52,550
+أو نجر الفاتحة على روحه.هذا شطر معادلات تفاضلية
+
+344
+00:30:52,550 --> 00:30:56,990
+احنا المعادلة التفاضلية بنزلها مسافة كامة لطلبة
+
+345
+00:30:56,990 --> 00:31:02,850
+العنوان و التربية و الهندسة الكهربا و الحاسوب و
+
+346
+00:31:02,850 --> 00:31:09,330
+نحو ذلك اذا هذه نطلعها و نعطيها كمبدأ مستقلة فلما
+
+347
+00:31:09,330 --> 00:31:12,870
+نعطيها هنا نعود على المسافة كأنها بالكهربا تكرهها
+
+348
+00:31:12,870 --> 00:31:19,290
+نقولها خليها يعني بنروح على شطر عشر عامالشركة
+
+349
+00:31:19,290 --> 00:31:26,050
+العشرة لوللإنفانات سيكوانسيز
+
+350
+00:31:26,050 --> 00:31:29,130
+سيكوانسيز
+
+351
+00:31:29,130 --> 00:31:34,930
+and انفانات series
+
+352
+00:31:38,310 --> 00:31:45,690
+وجه المتتابعات اللانهائية المتسلسلات
+
+353
+00:31:45,690 --> 00:31:50,910
+اللانهائية ال sequences هذه ال infinite sequences
+
+354
+00:31:50,910 --> 00:31:57,770
+سكشن واحد من الشبتر باقي الشبتر كله عن ال infinite
+
+355
+00:31:57,770 --> 00:32:07,760
+series ايش بدنا ندرس في هذا الشبتر بدنا ندرسهل ال
+
+356
+00:32:07,760 --> 00:32:13,020
+sequence أو ال series هذي بتبقى converge ولا diver
+
+357
+00:32:13,020 --> 00:32:18,100
+فقط الشرطة من الأول للآخر طبعا كيف converge ولا
+
+358
+00:32:18,100 --> 00:32:24,360
+diver بدنا نستخدم لها الشغلة هذه أحد الأمور
+
+359
+00:32:24,360 --> 00:32:30,290
+التانية قد نستخدم ال limitللحكم على ال sequence هل
+
+360
+00:32:30,290 --> 00:32:35,530
+هي converge او diverge بالنسبة لل series فهنا
+
+361
+00:32:35,530 --> 00:32:40,330
+تلاتة series مشهورة وهي ال geometric series وال
+
+362
+00:32:40,330 --> 00:32:45,790
+harmonic series وال P series وفينا ستة اختبارات
+
+363
+00:32:45,790 --> 00:32:51,690
+بواسطتهم هقدر احكم على ال series هل هي converge او
+
+364
+00:32:51,690 --> 00:32:53,850
+diverge الاختبار
+
+365
+00:33:03,440 --> 00:33:08,820
+التست وهذا سيعتمد فقط على ال ال preparant brand
+
+366
+00:33:08,820 --> 00:33:15,460
+يعني يا شباب هذا الشبكتر مستقل بباقي علين عن
+
+367
+00:33:15,460 --> 00:33:20,780
+الشبكترين اللي ساتوا فيش ارتباط بينهم الا في حالة
+
+368
+00:33:20,780 --> 00:33:25,080
+ان اختبار التكامل بنرجع لل ال preparant brand
+
+369
+00:33:28,390 --> 00:33:33,670
+مع بعض مانوش علاقة يعني كنا في وادي وانتقلنا الى
+
+370
+00:33:33,670 --> 00:33:39,010
+وادي اخر سبعة و تمانية بيكون مع بعض تمام ترامد
+
+371
+00:33:39,010 --> 00:33:44,170
+ملتهمن مع بعض شترة عشرة مانوش دعوة الا section
+
+372
+00:33:44,170 --> 00:33:48,330
+اللي هو التبع ال integral test ماهو section ال
+
+373
+00:33:48,330 --> 00:33:52,210
+improper integrals يبقى اختبار الحد اللي هو اختبار
+
+374
+00:33:52,210 --> 00:33:57,830
+التكاملاختبار المقارنة comparison test نهاية
+
+375
+00:33:57,830 --> 00:34:01,370
+اختبار المقارنة limit comparison test هي اربعة
+
+376
+00:34:01,370 --> 00:34:07,910
+الخامس ال ratio test اختبار النسبة السادس اختبار
+
+377
+00:34:07,910 --> 00:34:14,130
+الجانب النوني الinfra test بواسطة الشغلات دي بقدر
+
+378
+00:34:14,130 --> 00:34:19,910
+أكمل على series هل هي converge او diver بظل عندنا
+
+379
+00:34:19,910 --> 00:34:25,650
+نقطتين في هذا الشرطةحاجة اسمها teller series و
+
+380
+00:34:25,650 --> 00:34:32,970
+macklaren series يبدأ تجيب هنا كمان teller series
+
+381
+00:34:32,970 --> 00:34:40,070
+and macklaren series
+
+382
+00:34:48,710 --> 00:34:53,210
+متسلسلة مكلورين هي حالة خاصة لمتسلسلة تانور
+
+383
+00:34:59,500 --> 00:35:03,960
+هذه اللي جالها وقت إيش إذا عندى دل و الدل بدي
+
+384
+00:35:03,960 --> 00:35:10,600
+أحطها على شكل سيريز على شكل متسلسلة نقدر يعني إن
+
+385
+00:35:10,600 --> 00:35:16,140
+حط الدل الموجود زي الـSin X على شكل متسلسل نقدر
+
+386
+00:35:16,140 --> 00:35:20,960
+يعني نكتب الـSin كمجموعة حبوب عاجها الليلة اللي هي
+
+387
+00:35:20,960 --> 00:35:26,980
+نقدر الـSin و الـCos و الـExponential Function و
+
+388
+00:35:26,980 --> 00:35:32,120
+الـNatural Numberودالة واحد على X وكل ال .. يعني
+
+389
+00:35:32,120 --> 00:35:38,320
+من الدول هذه؟ هذه هي الدول التي لها معنى رهاية من
+
+390
+00:35:38,320 --> 00:35:46,380
+المشتقات تمام؟ إذا الدول التي لها معنى رهاية من ال
+
+391
+00:35:46,380 --> 00:35:51,440
+derivatives نقدر نعمل هذه ال series كيف؟ هذا ما
+
+392
+00:35:51,440 --> 00:35:56,160
+ستعرفه في حينه كيف؟ مثل الحلقة الخاصة من تانور هذا
+
+393
+00:35:56,160 --> 00:35:58,120
+ما ستعرفه في حينه
+
+394
+00:36:11,420 --> 00:36:18,720
+بنانيال كثيرة حدود بينانيال حدين بينانيال سيريز
+
+395
+00:36:18,720 --> 00:36:24,650
+متسلسلة ذاك الحدينأه لو راجعنا بالذاكر على الصف
+
+396
+00:36:24,650 --> 00:36:29,150
+الحدي عشر وناخد النورية الذات الحدين بس كان
+
+397
+00:36:29,150 --> 00:36:35,010
+النورية الذات الحدين سن زرق ألف أُس نون حيث نون
+
+398
+00:36:35,010 --> 00:36:41,510
+عدد الصحي موجب صحي ولاق سكت الشعب نسيب
+
+399
+00:36:46,440 --> 00:36:53,740
+نون زائد ألف كله أس نون يصوي سنون أس نون زائد نون
+
+400
+00:36:53,740 --> 00:36:58,200
+قاف واحد ألف سنون أس نون مانقس واحد ايش نون قاف
+
+401
+00:36:58,200 --> 00:37:04,280
+واحد هذه ترافيق نون من ماشاء ماخودة واحد واحد زائد
+
+402
+00:37:04,280 --> 00:37:08,240
+نون قاف اتنين ترافيق نون من ماشاء ماخودة ماثرة
+
+403
+00:37:08,240 --> 00:37:14,070
+ماثرةتنين اتنين.لو نقع في اتنين ألف تربيه سيل أصل
+
+404
+00:37:14,070 --> 00:37:19,150
+نقص اتنين وهكذا زائد زائد.لقاعد ما وصل الى ألف أصل
+
+405
+00:37:19,150 --> 00:37:26,330
+عدد الحدود N زائد واحد.زي ما نقول سيل زيادة في كل
+
+406
+00:37:26,330 --> 00:37:29,030
+تربيه.سيل تربيه زيادة اتنين.
+
+407
+00:37:34,460 --> 00:37:39,140
+تلاتة رغم ان القس جداش اتنين لو كان القس تلاتة
+
+408
+00:37:39,140 --> 00:37:42,240
+بيطلع عندك اربع حدود لو كان القس اربع بيطلع خمسة
+
+409
+00:37:42,240 --> 00:37:45,620
+حدود و هي كده دايما هو عبارة عن عدد حدود المكون
+
+410
+00:37:45,620 --> 00:37:50,840
+اكبر من القس اللي عندك المقار هذا لو كان ان عدد
+
+411
+00:37:50,840 --> 00:37:56,240
+صحيح موجب بتنقل المفكوك اللي عند انزل واحد من
+
+412
+00:37:56,240 --> 00:38:01,480
+الحدود احنا هنا في البرنامج نشتغل صحيح قدين بس
+
+413
+00:38:01,480 --> 00:38:09,420
+القس صحيح لا قبلقد يكون كسر السالب قد يكون عدد
+
+414
+00:38:09,420 --> 00:38:14,740
+السالب صحيح اولا ناخد ال general form وبالتالي لو
+
+415
+00:38:14,740 --> 00:38:19,880
+قلت السالب واحد وجدت أشتقه بكمل بيقول السالب اتنين
+
+416
+00:38:19,880 --> 00:38:23,380
+أو السالب كمان او السالب اربع يبقى مستمر لو يبقى
+
+417
+00:38:23,380 --> 00:38:30,710
+ما ليه نهاية من هنا سمينا ال binomial seriesلحد
+
+418
+00:38:30,710 --> 00:38:36,550
+هنا نكون انتهينا من الشبطر 10 ونأتي الآن لآخر شبطر
+
+419
+00:38:36,550 --> 00:38:44,390
+في المقارر الشبطر 11 الشبطر 11 يا شباب مالوش علاقة
+
+420
+00:38:44,390 --> 00:38:50,860
+بالإفلاق كلهأول شطرين مرتبطين مع بعض هذا انتقلنا
+
+421
+00:38:50,860 --> 00:38:54,040
+الى ودي آخر لانه انتقل الى ودي آخر مالهوش علاقة
+
+422
+00:38:54,040 --> 00:38:59,120
+باللي قبله هذا الشطر كله هندسة تحليلية لو روح
+
+423
+00:38:59,120 --> 00:39:03,300
+للكتاب الأساسي تبعك هذا ها ها بتلاقي مكتوب عليهم
+
+424
+00:39:03,300 --> 00:39:07,780
+Calculus وAnalytic Geometry يبقى حساب التفاضل
+
+425
+00:39:07,780 --> 00:39:13,140
+والتكامل وهندسات تحليلية هذا الشطر فيه ثلاث نقاط
+
+426
+00:39:13,140 --> 00:39:13,660
+رئيسي
+
+427
+00:39:21,660 --> 00:39:33,820
+Path Metrization of a Plain Curve يبقى
+
+428
+00:39:33,820 --> 00:39:39,180
+هذه النقطة اللي موجودة في هذا المشكلة ايش يعني؟
+
+429
+00:39:39,180 --> 00:39:46,300
+اول شئ Plain Curve شو معناها؟ ملحقة موجودة في
+
+430
+00:39:46,300 --> 00:39:50,410
+المستوىيعني في مستويات الصورة في مستويات الغراجة
+
+431
+00:39:50,410 --> 00:39:53,830
+اللي قدامك في مستويات صفحات الكتاب اللي قدامك
+
+432
+00:39:53,830 --> 00:39:57,250
+مرسوم الحلقه هذا اسمه plain curve يعني مش في
+
+433
+00:39:57,250 --> 00:40:02,310
+الفرقه مش في ال space يعني انه قعدين وليس تلاته بس
+
+434
+00:40:02,310 --> 00:40:05,930
+لو كان في الفرقه ممكن تخيله تبع المحور الصينيه تبع
+
+435
+00:40:05,930 --> 00:40:10,670
+المحور الصينيه تبع ال Z X axis Y axis
+
+436
+00:40:15,640 --> 00:40:17,200
+هذا الكلب يقوم بالكالكولاز بيه
+
+437
+00:40:23,320 --> 00:40:30,080
+بنقول احنا من الترجم حرفيا بنقول parameter لكن
+
+438
+00:40:30,080 --> 00:40:35,480
+الترجم العربية الصحيحة وسيط parameter يعني وسيط
+
+439
+00:40:35,480 --> 00:40:40,340
+كيف يعني وسيط بنا نفهم أبدا بيقولنا متغير الأتنين
+
+440
+00:40:40,340 --> 00:40:45,920
+بدخل متغير ثالث اللي علاقة مع الأتنين دخلنا هذا
+
+441
+00:40:45,920 --> 00:40:51,160
+الدنيا صار هذا وسيط بصير المعادلة الأصلية كتبناها
+
+442
+00:40:51,160 --> 00:40:58,650
+بصيغةأخرى أو بمعادلتين أخرين أو بثلاث معادلات
+
+443
+00:40:58,650 --> 00:41:03,350
+أخريات كدل العالمين على المعادلة الأصلية مثلا زي
+
+444
+00:41:03,350 --> 00:41:09,810
+إيش مثلا لو جلس سألناكم قلنا لكم إيش معادلة
+
+445
+00:41:09,810 --> 00:41:12,830
+الدائرة اللي مركزها المقطة الرأسية ونصف قبرها
+
+446
+00:41:12,830 --> 00:41:17,230
+ومساوي إيه؟ كله على الفلال أخدها في العدالة
+
+447
+00:41:17,230 --> 00:41:18,290
+واخدناها في الفانة
+
+448
+00:41:25,920 --> 00:41:33,260
+لكن لو جيت و قلت لك x تساوي a cos θ و y تساوي a
+
+449
+00:41:33,260 --> 00:41:40,130
+sin θ قلت لك ربع اتنين و اجمعمافيش مصير ا تربيع
+
+450
+00:41:40,130 --> 00:41:44,130
+كسين تربيع تيتا زي ا تربيع سين تربيع تيتا خد ا
+
+451
+00:41:44,130 --> 00:41:47,330
+تربيع عامل مشترك بغير كسين تربيع زي السين تربيع
+
+452
+00:41:47,330 --> 00:41:50,490
+اللي يبقى عامل يبقى x تربيع زي الواي تربيع يسوى a
+
+453
+00:41:50,490 --> 00:41:54,670
+تربيع المعادلتين هذين ال x يسوى a كسين تيتا وy
+
+454
+00:41:54,670 --> 00:41:58,050
+يسوى a كسين تيتا بسميهم معادلة ال parameter يلي
+
+455
+00:41:58,050 --> 00:42:02,120
+معادلة الدائرةيعني أنا نقلت معادلة دائرة من الصيغة
+
+456
+00:42:02,120 --> 00:42:05,660
+الكاراتيزية إلى الصيغة الواسعة جديدة اللي هو اسمه
+
+457
+00:42:05,660 --> 00:42:11,680
+فيتا بس مثال بسيط هذا مجرد إشارة اليوم لإيه
+
+458
+00:42:11,680 --> 00:42:14,480
+المفهوم ال parametric equations او
+
+459
+00:42:14,480 --> 00:42:20,700
+parameterization of a plane curve خلاصنا من هذه
+
+460
+00:42:20,700 --> 00:42:24,340
+نجي لحاجة اسمها النقطة ثانوية
+
+461
+00:42:30,890 --> 00:42:38,570
+ماذا يعني polar coordinates؟ الاحداثيات القطبية
+
+462
+00:42:38,570 --> 00:42:43,870
+يعني انت قول قطبة polar قطبية اذا polar
+
+463
+00:42:43,870 --> 00:42:48,550
+coordinates الاحداثيات القطبية من يوم ما صرت تتعلم
+
+464
+00:42:48,550 --> 00:42:53,970
+رياضيات من الابتداء إلى وراية مناصل إلى رمح النقطة
+
+465
+00:42:53,970 --> 00:42:54,970
+وانت بتشرح
+
+466
+00:42:59,180 --> 00:43:04,960
+الإحداثية الكورنسية والإحداثيات المستقيلة.هنا
+
+467
+00:43:04,960 --> 00:43:09,260
+هنتقل إلى نوع آخر من الإحداثيات اللي هو الإحداثية
+
+468
+00:43:09,260 --> 00:43:13,400
+القطبية.بدل ما كله نكتب المعاجلة بدلالة X وR
+
+469
+00:43:13,400 --> 00:43:19,300
+بالنصيب نكتبها بدلالة R وθيتا.R اللي هو بُعد
+
+470
+00:43:19,300 --> 00:43:21,640
+النقطة اللي موجودة على أول الحلقة النقطة
+
+471
+00:43:24,760 --> 00:43:28,580
+مع نكس اكس ازاوية بيسميها ثيتا وبالتالي بنكتب
+
+472
+00:43:28,580 --> 00:43:34,340
+المعادلة بدلالة R وثيتا قبل شغال بيقص فيها هذه كيف
+
+473
+00:43:34,340 --> 00:43:37,820
+احول النقطة من الاحترازية الكارتزية الى الاحترازية
+
+474
+00:43:37,820 --> 00:43:42,180
+القطبية والعكس من قطبي الى كارتزيا كيف بده احول
+
+475
+00:43:42,180 --> 00:43:45,660
+المعادلة اللى عنده من كارتزيا الى معادلة قطبية او
+
+476
+00:43:45,660 --> 00:43:50,380
+من معادلة قطبية الى معادلة كارتزية مش عاجبكوا بس
+
+477
+00:43:50,380 --> 00:43:56,510
+لابدنا نعرف كيف بدنا نرسمالملحنة اللي عندنا في
+
+478
+00:43:56,510 --> 00:44:03,390
+الأحداثيات القطبية دون الرجوع إلى كم كبس ايه تشوف
+
+479
+00:44:03,390 --> 00:44:09,150
+لمقاطة تقاطة ونشتاق ونجيب ال asymptotes ونجيب ال
+
+480
+00:44:09,150 --> 00:44:12,190
+increasing و ال decreasing و ال local maximum هذا
+
+481
+00:44:12,190 --> 00:44:16,450
+كلام عرفه عليه الزمن اللي هنعلمك طريقة كيف ترسم
+
+482
+00:44:16,450 --> 00:44:23,320
+الملحنة بالأحداثيات القطبيةمش هجدكوا بس، لكن ما
+
+483
+00:44:23,320 --> 00:44:27,580
+نعرف كده المساحة اللى موجودة بين الملحانين في
+
+484
+00:44:27,580 --> 00:44:31,980
+الإحداثيات القطبية زى ما درسناها كارتيزيا في
+
+485
+00:44:31,980 --> 00:44:36,460
+calculus A هدرسها في calculus B الإحداثيات كيف
+
+486
+00:44:36,460 --> 00:44:41,240
+نحسبها بالإحداثيات القطبية يعني في هذه النقطة
+
+487
+00:44:41,240 --> 00:44:45,440
+الثانية من هذا الشطر بقية النقطة الثالثة والأخيرة
+
+488
+00:44:45,440 --> 00:44:47,920
+ال mainly conic sections
+
+489
+00:44:53,370 --> 00:44:59,670
+ماذا يعني conic sections بالعربي؟ ممتاز يبقى هنا
+
+490
+00:44:59,670 --> 00:45:06,010
+مقول conic sections القطوع المخروطية جاء من كون
+
+491
+00:45:06,010 --> 00:45:10,810
+مخرط conic مخروطي يبقى conic sections القطوع
+
+492
+00:45:10,810 --> 00:45:16,510
+المخروطية اللي بارد اللي يفيد ايده فوق كم قطع
+
+493
+00:45:16,510 --> 00:45:20,430
+مخروطي موجودة لها؟ قبل اه تلاتة
+
+494
+00:45:22,830 --> 00:45:29,950
+على الدنيا هي في رواية تانية اخترق العلماء واحد
+
+495
+00:45:29,950 --> 00:45:34,770
+خلقه فيه والواحد انفع اليك ها في حد عارف انك
+
+496
+00:45:34,770 --> 00:45:42,030
+جابها؟ طيب القطار المخروطية المعروفة والمشهورة بين
+
+497
+00:45:42,030 --> 00:45:43,270
+العلماء خامسة
+
+498
+00:45:49,900 --> 00:45:54,200
+أقول دراسة نص قطعة دراسة انت ما انتش دارى ان هذا
+
+499
+00:45:54,200 --> 00:45:59,060
+نص قطعة مخروطة كيف؟ اول حاجة الخط المستقيم كله
+
+500
+00:45:59,060 --> 00:46:02,700
+دراسة الخط المستقيم مظبوط سواء كيميكال كولاسية ولا
+
+501
+00:46:02,700 --> 00:46:07,220
+بالثانوية هذا الأمر لأ يعني لو جيبنا مخروط زي
+
+502
+00:46:07,220 --> 00:46:10,360
+الورقة تبعت التورمص ولا تبعت الفلافل اللي بيساويها
+
+503
+00:46:10,360 --> 00:46:14,680
+او زي التاج اللي بيحطوه على روس الأولاد الصغار في
+
+504
+00:46:14,680 --> 00:46:21,920
+الملاسباتك هذا مخروط لو جيت عاملته مقطععلى من شلال
+
+505
+00:46:21,920 --> 00:46:25,620
+المستوى اللى بتعمل ويقطع هذا المخروج بطبع شكل
+
+506
+00:46:25,620 --> 00:46:31,220
+القطع قد يكون خط مستقيم او خطين مستقيمين متقاطين
+
+507
+00:46:31,220 --> 00:46:36,120
+ويعتبر خط مستقيم درسنا عن الخط المستقيم قد يكون
+
+508
+00:46:36,120 --> 00:46:46,520
+دائرة درسناها كويس قد يكون قطع مكافئةالقطع
+
+509
+00:46:46,520 --> 00:46:51,420
+المكافئة حسبنا له ال vertex و ال axis من هنا هذا
+
+510
+00:46:51,420 --> 00:46:52,960
+خدمة قبلك اللي هو المص
+
+511
+00:47:03,440 --> 00:47:09,500
+بالقطع المكافئ وال Directrix اللى هو الدليل للقطع
+
+512
+00:47:09,500 --> 00:47:14,420
+المكافئ يبقى فى عند ال focus و ال direct يبقى على
+
+513
+00:47:14,420 --> 00:47:18,140
+نفس الكون اللى هم نتكلم عنه احنا على كل ما مااخدش
+
+514
+00:47:18,140 --> 00:47:23,320
+ولا حاجة و نرجع للسفارة بالنسبة لمن؟ للقطع المكافئ
+
+515
+00:47:23,320 --> 00:47:30,170
+طيب يبقى القطع المكافئ اللى هواللي هو القطع رقم
+
+516
+00:47:30,170 --> 00:47:36,390
+تلاتة بالنسبة للقطوع المخلوطية اللى كانت المعادلة
+
+517
+00:47:36,390 --> 00:47:41,570
+يمكننا نقول Y تساوي X تربيا او X تساوي Y تربيا حسب
+
+518
+00:47:41,570 --> 00:47:45,590
+ما هم متوهن فوق ومن اليمين او الاسفل او من الشمال
+
+519
+00:47:45,590 --> 00:47:49,910
+طبعا يعني هنفعطيه في ال general form هنفعطيه في
+
+520
+00:47:49,910 --> 00:47:58,680
+الصورة العامةالقطع الرابع هو القطع البيباوي ال قطع
+
+521
+00:47:58,680 --> 00:48:04,320
+الناقص يبقى هذا هو اللي بس طبعا في calculus ايه
+
+522
+00:48:04,320 --> 00:48:08,060
+بذكركوا في section واحد اتنين في موضوع ال shifts
+
+523
+00:48:08,060 --> 00:48:14,380
+درسنا مين درسنا بس إشارة خفيفة نعملوا القطع الناقص
+
+524
+00:48:14,380 --> 00:48:20,400
+احنا هناخده تفصيلياو هتلاقي له مش لفوكس واحدة إلا
+
+525
+00:48:20,400 --> 00:48:26,220
+two فكاع تنتين مش واحدة تمام؟ وبعد ما نخلص القطع
+
+526
+00:48:26,220 --> 00:48:32,080
+هذا بنروح للقطع الخامس اللي هو القطع الزائد اللي
+
+527
+00:48:32,080 --> 00:48:37,320
+هو ال hypergula يبقى hypergula قطع مكافئ إلبس قطع
+
+528
+00:48:37,320 --> 00:48:43,200
+لاقص hypergula اللي هو قطع زائد وبرضه إلا بقرتين
+
+529
+00:48:43,200 --> 00:48:43,740
+كمان
+
+530
+00:48:47,200 --> 00:48:51,840
+والقطع الناقص ما هو two direct traces دليليان لكن
+
+531
+00:48:51,840 --> 00:48:56,940
+المكافئة اللي هو دليل واحد و focus واحدة تمام؟ طب
+
+532
+00:48:56,940 --> 00:49:01,980
+ال conic sections هذا بنا ندرسه كارتيزيا ولا كوله
+
+533
+00:49:01,980 --> 00:49:06,460
+ولا كلاهما؟ كلاهما المحروف هو ال conic sections
+
+534
+00:49:12,890 --> 00:49:17,870
+هنا ستان بيكون غطينا ما هو مطلوب ان ندراسه خلال
+
+535
+00:49:17,870 --> 00:49:23,530
+مين خلال هذا الفصل ان شاء الله تعالى.الان افتح
+
+536
+00:49:23,530 --> 00:49:29,090
+المجال لأي تساؤل في دماغك حول المادة حول المثاق
+
+537
+00:49:29,090 --> 00:49:34,590
+حول اي حاجة نفس احنا جاهزين لان نستمع ليه بيحب
+
+538
+00:49:34,590 --> 00:49:36,930
+يسأل اي سؤال عندي؟ التطبيق
+
+539
+00:49:43,600 --> 00:49:46,380
+فى غير الملنجة، فى الكلام اللى انجازه، فى الكلام
+
+540
+00:49:46,380 --> 00:49:50,440
+اللى بحيث أنه لم يقال وكان من الواجب أن يقال، مع
+
+541
+00:49:50,440 --> 00:49:58,760
+أنه اشمال عم نسمع. اه؟ خلاص؟
+
+542
+00:49:58,760 --> 00:50:03,460
+اذا حضرنا ما يكتر منكم، نكتر من هذا القدر. السلام
+
+543
+00:50:03,460 --> 00:50:03,900
+عليكم.
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/LdYD_Mn7ME8.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/LdYD_Mn7ME8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..92b2c3e81a79fc362221d91f1798f98134dc5fe4
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/LdYD_Mn7ME8.srt
@@ -0,0 +1,2082 @@
+1
+00:00:09,860 --> 00:00:16,280
+اليوم سنبدأ في صميم الموضوع وهو ال inverse 
+
+2
+00:00:16,280 --> 00:00:17,180
+function
+
+3
+00:00:30,190 --> 00:00:32,910
+قبل أن ندخل في الانفراد الانفراد الانفراد الانفراد
+
+4
+00:00:32,910 --> 00:00:42,250
+الانفراد الانفراد الانفراد الانفراد
+
+5
+00:00:42,250 --> 00:00:44,790
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+6
+00:00:44,790 --> 00:00:44,850
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+7
+00:00:44,850 --> 00:00:45,910
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+8
+00:00:45,910 --> 00:00:45,950
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+9
+00:00:45,950 --> 00:00:46,570
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+10
+00:00:46,570 --> 00:00:58,430
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+11
+00:00:58,430 --> 00:01:08,360
+يبقى definition the function f is
+
+12
+00:01:08,360 --> 00:01:13,180
+a rule that
+
+13
+00:01:13,180 --> 00:01:18,340
+assigns to
+
+14
+00:01:18,340 --> 00:01:24,720
+each
+
+15
+00:01:24,720 --> 00:01:29,080
+element x
+
+16
+00:01:30,570 --> 00:01:42,610
+in a set A a unique element عنصرًا وحيدًا a unique
+
+17
+00:01:42,610 --> 00:01:49,170
+element f of x in a set
+
+18
+00:01:59,660 --> 00:02:05,000
+نعود للكلام اللي كنا نكتبه ونبدأ بملاحظاتنا عليه
+
+19
+00:02:05,000 --> 00:02:09,880
+نفس التعريف تبع كالغلصين ما غيرناهوش يبقى جدالة F
+
+20
+00:02:09,880 --> 00:02:17,040
+هي صيغة أو قاعدة مالها؟ شو بتعمل؟ ذات essence تعين
+
+21
+00:02:17,040 --> 00:02:25,650
+أو تحدد أو تخصص لكلموجود في الـ set A تخصص له
+
+22
+00:02:25,650 --> 00:02:31,690
+عنصرًا واحدًا unique element عنصرًا واحدًا f of x في
+
+23
+00:02:31,690 --> 00:02:36,570
+ال set B يعني لو كان عندي على سبيل المثال هذه هي
+
+24
+00:02:36,570 --> 00:02:43,070
+ال set A وكان عندي هنا هذه هي ال set B يبقى الدالة
+
+25
+00:02:49,050 --> 00:02:56,890
+بخصص للعنصر X اللي موجود في الست A عنصرًا وحيدًا في
+
+26
+00:02:56,890 --> 00:03:05,790
+الست B اسمه F of X الشكل اللي عندنا طيب نرجع نقرأ
+
+27
+00:03:05,790 --> 00:03:09,750
+النص ثاني و نسقط هذا النص على الرسم اللي احنا
+
+28
+00:03:09,750 --> 00:03:15,190
+جايينه و نشوف كده بقول الدالة F هي عبارة عن صيغة أو
+
+29
+00:03:15,190 --> 00:03:22,150
+قاعدة ذات أسلوب تحدد لكل عنصر X في الست A يبقى الست
+
+30
+00:03:22,150 --> 00:03:25,890
+ليس بالضرورة أن يكون فيها عنصر واحد إنما فيها
+
+31
+00:03:25,890 --> 00:03:31,810
+مجموعة من العناصر يبدأ لو جيت افترض ان هذا X واحد
+
+32
+00:03:31,810 --> 00:03:38,530
+وعندي هنا X اثنين وعندي عنصر ثالث هنا X ثلاثة طبعًا
+
+33
+00:03:38,530 --> 00:03:45,390
+ال X واحد هذا كان في صورته هي F of X واحد لأن
+
+34
+00:03:50,090 --> 00:03:58,770
+صورته f of x واحد والـ x اثنين كانت صورته هنا f of x
+
+35
+00:03:58,770 --> 00:04:06,290
+اثنين لكن ليزال هذه فيها عناصر أخرى زي العناصر
+
+36
+00:04:06,290 --> 00:04:13,300
+اللي عندنا قدر كويس؟ نجي نقرأ هنا to each element
+
+37
+00:04:13,300 --> 00:04:20,760
+in a set A هل الدالة F ستوطي أو ستمر على كل عنصر
+
+38
+00:04:20,760 --> 00:04:24,520
+من عناصر A ولا لأ؟ ولا هتمر على بعض وبعض
+
+39
+00:04:24,520 --> 00:04:30,290
+الآخر؟ لأع الجميع بلا استثناء لنقل to each element
+
+40
+00:04:30,290 --> 00:04:35,070
+لكل عنصر في ال set A طيب مدينة بدها تغطي جميع
+
+41
+00:04:35,070 --> 00:04:40,670
+العناصر هذول بلا استثناء إذا ال set A بسميها مجال
+
+42
+00:04:40,670 --> 00:04:46,510
+الدالة ال domain تبع ال function F يبقى هذه ال set
+
+43
+00:04:46,510 --> 00:04:53,370
+A هي عبارة عن domain الدالة F طيب
+
+44
+00:04:55,340 --> 00:05:02,560
+سؤال هو هل يمكن لعنصر واحد من الست A يطلع له
+
+45
+00:05:02,560 --> 00:05:09,660
+فارقين أو قيمتين في الست B؟ ما جالش تعرف ايه؟ جاليه
+
+46
+00:05:09,660 --> 00:05:14,320
+unique element، عنصرًا وحيدًا، يعني إذا كان عنصر
+
+47
+00:05:14,320 --> 00:05:19,120
+الوحيد من الست ايه، بلاجيله عنصر وحيد وين؟ في الست
+
+48
+00:05:19,120 --> 00:05:25,420
+بي فقط لغاية، السؤال هو هل يمكن لعنصرين من الست
+
+49
+00:05:25,420 --> 00:05:31,210
+ايه أن يشترك في نفس الصورة من الست بي؟ هذا يعني
+
+50
+00:05:31,210 --> 00:05:34,330
+أننا ما عندناش مشكلة في الشمالة يبقى مدام في
+
+51
+00:05:34,330 --> 00:05:38,150
+الشمالة يبقى خلاص مافي مشكلة ليش؟ لأنه منحصش
+
+52
+00:05:38,150 --> 00:05:42,330
+وبالتالي لما نقوم في روم زي X واحد و X ثلاثة
+
+53
+00:05:45,750 --> 00:05:50,310
+يبقى f of x واحد وf of x ثلاثة يبقى f of x واحد وf
+
+54
+00:05:50,310 --> 00:05:53,950
+of x ثلاثة أعلى ايكل اثنين نفس الشيء يبقى مافي
+
+55
+00:05:53,950 --> 00:05:58,550
+مشكلة في هذه الحالة لأن ما فيش نص ينغي هذا الكلام
+
+56
+00:05:58,550 --> 00:06:04,930
+إذا ممنوع عنصر واحد كله صورتين لا أمنع أن يشتري
+
+57
+00:06:04,930 --> 00:06:09,970
+كعنصرين في نفس الصورة ما فيش مشكلة عندنا في هذه
+
+58
+00:06:09,970 --> 00:06:17,400
+الحالة تمام تمام طيب هل يمكن للدالة if صورها اتغطي
+
+59
+00:06:17,400 --> 00:06:22,560
+جميع عناصر بيه؟ لأ لأن هاي لثانثة و هاي اثنين و
+
+60
+00:06:22,560 --> 00:06:30,000
+هاي ثلاثة ما ضاعوش كصور لعناصر من الان إذاً ال B هنا
+
+61
+00:06:30,000 --> 00:06:35,880
+بسميه ال code domain المجال المصاحب المجال المناظر
+
+62
+00:06:35,880 --> 00:06:41,020
+المجال المقابل اللي بدك اللي هيبقى B هنا بسميه ال
+
+63
+00:06:41,020 --> 00:06:51,690
+code domain of F هنا اظهر لي العناصرين اللي اثنين
+
+64
+00:06:51,690 --> 00:06:57,190
+هذول اللي هم الصورة الصورانش بيسميهم ال range تبع
+
+65
+00:06:57,190 --> 00:07:01,730
+ال F أي ال image تبع ال F الصورة تبع اثنين ال F
+
+66
+00:07:01,730 --> 00:07:07,030
+يبقى هذه اللي هي العناصرين اللي اثنين هذول بسميهم
+
+67
+00:07:07,030 --> 00:07:07,830
+ال range
+
+68
+00:07:16,640 --> 00:07:22,060
+يبقى هي صورة the life، ممتاز جدًا، إذا في أننا
+
+69
+00:07:22,060 --> 00:07:28,420
+بنان، في أننا كودمان، في أننا range، السؤال هو هل
+
+70
+00:07:28,420 --> 00:07:34,640
+يمكن لل range أن يكون أكبر من الكودمان؟ مش ممكنية
+
+71
+00:07:36,600 --> 00:07:40,860
+البركة بصير جد مين؟ جد الكود مين؟ و in general هو
+
+72
+00:07:40,860 --> 00:07:46,660
+أقل منه، صحيحة أو لا؟ تمام، على أي حال هذه المقدمة
+
+73
+00:07:46,660 --> 00:07:51,160
+البسيطة اللي هو ال function يبقى، بدك تعرفلي إنه
+
+74
+00:07:51,160 --> 00:07:54,540
+ممكن لعنصرين إنهم يشتركوا في نفس الصورة، ما عندناش
+
+75
+00:07:54,540 --> 00:07:58,880
+مشكلة، لكن لا يمكن لعنصر واحد يذهب لمين، يذهب
+
+76
+00:07:58,880 --> 00:08:00,540
+لصوتين، فالتعريف
+
+77
+00:08:05,140 --> 00:08:10,640
+حالة خاصة أو لما أقول حالة خاصة أنا قصدها بعينها
+
+78
+00:08:10,640 --> 00:08:15,980
+لهدف احنا بدنا ياسا نعرفه خلال هذه المحاضرة إن شاء
+
+79
+00:08:15,980 --> 00:08:19,940
+الله بداخل حالة خاصة من ال function هي ال function
+
+80
+00:08:19,940 --> 00:08:23,560
+اللي بنسميها one to one تعال يا ابني أنت موجود
+
+81
+00:08:23,560 --> 00:08:29,380
+فهو واضح هنا تعال واضح هنا في حاجة عنه كرسي فاضي
+
+82
+00:08:29,380 --> 00:08:33,740
+ثاني؟ تعال واضح ثاني
+
+83
+00:08:39,240 --> 00:08:43,920
+يبقى الآن بدأ نجي لحالة خاصة من ال function اللي
+
+84
+00:08:43,920 --> 00:08:49,320
+بدي اسميها ال one to one function ده لو أخد لواحد
+
+85
+00:08:49,320 --> 00:08:54,980
+نكتب التعريف نحاول نستوعبه تمامًا و بعدين نشوف ليش
+
+86
+00:08:54,980 --> 00:09:00,300
+أخدنا هذه الحالة الخاصة دون غيرها يبقى definition
+
+87
+00:09:00,300 --> 00:09:04,280
+a function f
+
+88
+00:09:15,830 --> 00:09:23,570
+بنسميها one to one if no two different
+
+89
+00:09:32,300 --> 00:09:41,200
+إذا لم يكن هناك عنصرين مختلفين أو
+
+90
+00:09:41,200 --> 00:09:44,260
+أو
+
+91
+00:09:44,260 --> 00:09:45,780
+أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو 
+
+92
+00:09:45,780 --> 00:09:47,280
+أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو
+
+93
+00:09:47,280 --> 00:09:48,720
+أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو
+
+94
+00:09:48,720 --> 00:09:54,140
+أو أو أو أو أو أو أو أو أو أو أو أو أو أو 
+
+95
+00:09:54,140 --> 00:09:54,660
+أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو
+
+96
+00:09:54,660 --> 00:09:58,560
+أو
+
+97
+00:09:58,560 --> 00:10:00,200
+أو ا
+
+98
+00:10:03,810 --> 00:10:06,570
+بنعبر على هذا الكلام بصيغة رياضية
+
+99
+00:10:27,380 --> 00:10:36,960
+والـ x1 و الـ x2 موجودات في الـ set D equivalently
+
+100
+00:10:36,960 --> 00:10:45,200
+التعريف
+
+101
+00:10:45,200 --> 00:10:54,740
+المكافئ لهذا التعريف F أو دلة F من ال set D إلى ال
+
+102
+00:10:54,740 --> 00:11:06,290
+set R is one to one if ال f of x واحد بدها تساوي ال
+
+103
+00:11:06,290 --> 00:11:13,930
+f of x اثنين then ال x واحد بدها تساوي ال x اثنين
+
+104
+00:11:13,930 --> 00:11:22,170
+و ال x واحد و ال x اثنين موجودات في ال set D برضه
+
+105
+00:11:22,170 --> 00:11:26,030
+هذا له معنى هندسي graphically
+
+106
+00:11:30,100 --> 00:11:38,600
+من الناحية الهندسية هذا شو معناه a function f is
+
+107
+00:11:38,600 --> 00:11:46,960
+one to one if and only if no
+
+108
+00:11:46,960 --> 00:11:57,340
+horizontal line no horizontal line intersects
+
+109
+00:12:03,930 --> 00:12:17,010
+its graph الرسم البياني more than once
+
+110
+00:12:22,820 --> 00:12:29,860
+نقرأ كل ما كتبناه من جديد ونحاول أن نفهم كل نقطة
+
+111
+00:12:29,860 --> 00:12:32,880
+موجودة قدامنا على اللغة.
+
+112
+00:12:38,970 --> 00:12:46,310
+بناخد الـ one to one function إذا لم 
+
+113
+00:12:46,310 --> 00:12:55,210
+يكن هناك عنصرين مختلفين من D لديها نفس الصورة في R
+
+114
+00:12:59,920 --> 00:13:06,200
+ألا يمكن أن أجد عنصرين عمالة تبقى متساومة، ليس لها
+
+115
+00:13:06,200 --> 00:13:11,720
+نفس الصورة يعني بالبلد هيك العناصر المختلفة لها
+
+116
+00:13:11,720 --> 00:13:17,120
+صور مختلفة تمام هذا الكلام النظري بنروح نصير هذا
+
+117
+00:13:17,120 --> 00:13:21,500
+الكلام بصيغة رياضية فروحنا وقلنا that is
+
+118
+00:13:26,450 --> 00:13:32,350
+يعني عنصرين مختلفين then f of x واحد لا يمكن أن تكون
+
+119
+00:13:32,350 --> 00:13:37,590
+f of x اثنين يعني الصورتين تبعاتهم غير متساويتين أما
+
+120
+00:13:37,590 --> 00:13:38,990
+then x واحد x اثنين
+
+121
+00:13:44,380 --> 00:13:48,440
+هذا صيغة رياضية للتعريف اللي احنا قلناه، فيه صيغة
+
+122
+00:13:48,440 --> 00:13:52,560
+أخرى، ايش الصيغة الأخرى؟ فيها المليارات حاجة اسمها
+
+123
+00:13:52,560 --> 00:13:57,220
+ال negation، ال negation المفي، أنا عندي بطولة،
+
+124
+00:13:57,220 --> 00:14:03,020
+بدأت أعطيني مطلوب الشغل المكافئة لها نفي المطلوب
+
+125
+00:14:03,020 --> 00:14:07,240
+داخل نفي مين المعطيات وقعد ندرسها في موضوع ال 
+
+126
+00:14:07,240 --> 00:14:12,440
+المنطق الرياضي logic تمام؟ طب إيش هنا ال negation 
+
+127
+00:14:12,440 --> 00:14:17,610
+للعبارة اللي بدها تنفي؟ ما في هذه يعني إيش؟
+
+128
+00:14:17,610 --> 00:14:22,330
+بالمساواة يبدأ يجيبي الـ function  one to one 
+
+129
+00:14:22,330 --> 00:14:29,050
+F لفظ X1 يبدأ يصير F of X2 يبدأ يعطوني ما في
+
+130
+00:14:29,050 --> 00:14:35,970
+هذه يتجرن X1 يساوي X2 إن الطريقة الأخرى أو التعريف
+
+131
+00:14:35,970 --> 00:14:39,670
+الأخرى للـ one to one function إن ما يحصل إن 
+
+132
+00:14:39,670 --> 00:14:44,830
+الصورتين متساويتين للدالة لعناصرين من الـ domain
+
+133
+00:14:44,830 --> 00:14:50,630
+تبعها إن حصلت إن الصورتين متساويتين يجب أن يكون
+
+134
+00:14:50,630 --> 00:14:53,470
+الأصل متساوي
+
+135
+00:14:54,520 --> 00:14:59,080
+يوجد حاجة اسمها ناحية هندسية أو ناحية رسم الـ graph
+
+136
+00:14:59,080 --> 00:15:02,540
+والرسم البياني يبقى graphically من الناحية
+
+137
+00:15:02,540 --> 00:15:07,620
+البيانية أو من ناحية الرسم الهندسي اللي بنرسمه
+
+138
+00:15:07,620 --> 00:15:11,540
+a function f is one-to-one if and only if no
+
+139
+00:15:11,540 --> 00:15:15,840
+horizontal line intersects its graph more than
+
+140
+00:15:15,840 --> 00:15:22,780
+once يعني أكثر من مرة وعلى كيف يعني؟ لو رسمت منحلة
+
+141
+00:15:22,780 --> 00:15:28,080
+الدالة اللي عندك وجبت أي horizontal line رسمته
+
+142
+00:15:28,080 --> 00:15:33,560
+انقطع المنحلة في أكثر من نقطة إذا الدالة هذه التي
+
+143
+00:15:33,560 --> 00:15:38,600
+يمثلها هذا المنحلة ليست one to one لكن إذا قطعها
+
+144
+00:15:38,600 --> 00:15:43,380
+في نقطة واحدة فقط بقول المنحلة هذا أو الدالة هذه
+
+145
+00:15:43,380 --> 00:15:48,740
+one to one يبقى هذا بيسميه horizontal line
+
+146
+00:15:53,010 --> 00:15:58,250
+يعني أنت عندك رسمة بدي أعرف هل هذه الرسمة تمثل one
+
+147
+00:15:58,250 --> 00:16:01,930
+to one function ولا لا بقول بجيبها الـ horizontal و برسمها
+
+148
+00:16:01,930 --> 00:16:07,130
+موازية لمحور x والله إذا قطع المنحنة طبعاً مش خطبة
+
+149
+00:16:07,130 --> 00:16:12,490
+يعني أي خط أفقي موازية لمحور x أعلى الـ x ولا أسفل
+
+150
+00:16:12,490 --> 00:16:17,330
+الـ x إن قطع المنحنة فقط في نقطة واحدة يعني أي خط
+
+151
+00:16:17,330 --> 00:16:20,960
+رسمة إذا لم يقطع المنحنة إلا في نقطة واحدة، فهذه
+
+152
+00:16:20,960 --> 00:16:25,860
+المنحنة يمثل one to one function. إذا قطع في نقطة
+
+153
+00:16:25,860 --> 00:16:26,720
+يعني.
+
+154
+00:16:32,500 --> 00:16:37,180
+هذا السبب يجب أن نقول إن أنا لو عندي منحلة 
+
+155
+00:16:37,180 --> 00:16:42,260
+horizontal قطعة في نقطة، إذا لو أخذت أي نقطتين
+
+156
+00:16:42,260 --> 00:16:46,600
+مختلفتين على محور السينات، فأنا هتشوف صورتين
+
+157
+00:16:46,600 --> 00:16:50,630
+منحلة نقطتين مختلفتين وأنا واحدة زي التانية مصبوح
+
+158
+00:16:50,630 --> 00:16:54,010
+أو لا؟ لماذا؟ لأن النقطة الوحيدة ليست في نقطة
+
+159
+00:16:54,010 --> 00:16:58,590
+واحدة وليس أكثر. إذا لماذا يمكن لنقطتين مختلفتين
+
+160
+00:16:58,590 --> 00:17:03,310
+أن تطلع من نفس الصورة بتالي domain و range؟ مثل إيش
+
+161
+00:17:03,310 --> 00:17:08,810
+مثلاً؟ الـ functions تقول لك منحلة y تساوي x تربيع مرة
+
+162
+00:17:08,810 --> 00:17:12,450
+علانة كتير في كل قصية، مصبوح؟ يعني الـ functions تقول
+
+163
+00:17:12,450 --> 00:17:14,230
+لك هنا for example
+
+164
+00:17:19,120 --> 00:17:27,680
+the functions اللي هو y تساوي x تربيع مثلاً and دالة
+
+165
+00:17:27,680 --> 00:17:36,440
+ثانية y تساوي الجذر التربيعي لـ x are one to one
+
+166
+00:17:36,440 --> 00:17:47,360
+but ولكن the function y تساوي x تربيع is not one
+
+167
+00:17:47,360 --> 00:17:58,310
+to one بشوف السبب بقوله because of the horizontal
+
+168
+00:17:58,310 --> 00:18:08,710
+line test اللي هو اختبار الخط الأفقي وكيف كانت ثانية لو
+
+169
+00:18:08,710 --> 00:18:15,350
+جيت قلت للمحارب هذا محور x وهذا محور y وروحنا و
+
+170
+00:18:15,350 --> 00:18:20,910
+رسمنا منحنى الدالة اللي هو y تساوي x تربيع زي ما
+
+171
+00:18:20,910 --> 00:18:24,970
+كنا بنرسمها في كام كراس آية يبقى المنحنى بيجي
+
+172
+00:18:24,970 --> 00:18:30,170
+بالشكل اللي عندك هذا يا أخي تمام وبيجي نازل بهذا
+
+173
+00:18:30,170 --> 00:18:36,420
+الشكل يبقى هذا y تساوي x تربيع اللي وراه شايفين
+
+174
+00:18:36,420 --> 00:18:41,260
+اللون هذا، أولاً نخليه خط أسود. الأخضر هذا واضح للي
+
+175
+00:18:41,260 --> 00:18:46,480
+وراها؟ ماشي الحال. يبقى هذه y تساوي x تربيع. لو
+
+176
+00:18:46,480 --> 00:18:53,220
+جيت رسمت أي horizontal line، لو جيت رسمت أي
+
+177
+00:18:53,220 --> 00:18:58,320
+horizontal line، يبقى الـ horizontal line كان
+
+178
+00:18:58,320 --> 00:18:59,640
+بالشكل هذا هيك.
+
+179
+00:19:03,840 --> 00:19:11,840
+لا يمكن أن
+
+180
+00:19:11,840 --> 00:19:16,160
+يقطع هذا المنحلة في نقطة أو نقطة أو نقطة أو نقطة
+
+181
+00:19:16,160 --> 00:19:16,680
+أو نقطة أو نقطة أو نقطة أو نقطة أو نقطة أو نقطة أو
+
+182
+00:19:16,680 --> 00:19:16,820
+نقطة أو نقطة أو نقطة أو نقطة أو نقطة أو نقطة أو
+
+183
+00:19:16,820 --> 00:19:19,200
+نقطة أو نقطة أو نقطة أو نقطة أو نقطة أو نقطة أو
+
+184
+00:19:19,200 --> 00:19:31,380
+نقطة أو نقطة أو هذا محور x وهذا محور y وهذا
+
+185
+00:19:31,380 --> 00:19:41,880
+المنحنى y تساوي الجذر التربيعي لـ x لو جيت رسمت أي
+
+186
+00:19:41,880 --> 00:19:45,360
+خط أفقي بهذا الشكل هيقطع المنحنى
+
+187
+00:19:49,160 --> 00:19:54,420
+إذا أبني الـ two functions اللي هم دارعان one to
+
+188
+00:19:54,420 --> 00:20:02,080
+one functions one to one functions قلت لو جيتنا
+
+189
+00:20:02,080 --> 00:20:07,360
+الدالة y تساوي x تربيع يوجه هذا المنحلة الدالة
+
+190
+00:20:07,360 --> 00:20:13,800
+هذا محور x هذا محور y هي نقطة الأصل لـ zero حينما
+
+191
+00:20:13,800 --> 00:20:17,880
+سمينا المنحلة y تساوي x تربيع
+
+192
+00:20:26,840 --> 00:20:35,300
+y تساوي x تربيع. ارسم أي خط أفقي هيك. يجب أن يقطع
+
+193
+00:20:35,300 --> 00:20:40,540
+المنحنى في النقطة الثانية. وهنا النقطة الثانية.
+
+194
+00:20:40,600 --> 00:20:45,240
+هذه بدي اسميها x واحد وهذه بدي اسميها x اثنين.
+
+195
+00:20:45,680 --> 00:20:48,280
+البعد المنقط هذا هو
+
+196
+00:20:51,140 --> 00:20:57,040
+البعد الملقق الثاني هو f of x اثنين شو له علاقة
+
+197
+00:20:57,040 --> 00:21:01,280
+بين f of x واحد وf of x اثنين؟ طريقة اللي هو
+
+198
+00:21:01,280 --> 00:21:06,240
+البعدين ما بين خطين متوازين البعد بين خطين متوازين
+
+199
+00:21:06,240 --> 00:21:11,540
+اللي هو يساوي مقداراً ثابتاً اللي هو تفيره مهما رسم
+
+200
+00:21:11,540 --> 00:21:20,100
+أي خط يصل بين هذين الخطين طيب أنا الآن هذه الـ one
+
+201
+00:21:20,100 --> 00:21:26,640
+to one الصدر بكواز إن القوق بكواز
+
+202
+00:21:38,300 --> 00:21:44,120
+عنصرين مختلفين لكن الصور كانت متساوية
+
+203
+00:21:50,950 --> 00:21:56,750
+بصير الجهاز مدهش وعبارة حط لي x بسالب اثنين يبقى
+
+204
+00:21:56,750 --> 00:22:01,510
+برضه باطني كمان أربعة إذا متساوية الصورة ثاني لكل
+
+205
+00:22:01,510 --> 00:22:07,350
+الأصل غير متساوي اثنين وسالب اثنين ومن هنا فالدالة
+
+206
+00:22:07,350 --> 00:22:14,530
+ليست one to one طيب نرجع بالذاكرة وراي شوية لكل
+
+207
+00:22:14,530 --> 00:22:21,630
+قرص a لو عندي دالة زيولية على طول أي دالة تناقصية على
+
+208
+00:22:21,630 --> 00:22:29,310
+طول ورسمت أي horizontal line؟ واحدة بس يبقى any
+
+209
+00:22:29,310 --> 00:22:33,690
+increasing function أو decreasing function is one
+
+210
+00:22:33,690 --> 00:22:38,830
+to one صحيح أم لا؟ يبقى خذ نكتب هذه ملاحظة remark
+
+211
+00:22:38,830 --> 00:22:43,510
+أي
+
+212
+00:22:44,750 --> 00:22:50,310
+increasing or
+
+213
+00:22:50,310 --> 00:22:55,870
+decreasing function
+
+214
+00:23:05,150 --> 00:23:13,490
+هذا محور x وهذا محور y يبقى تزايدية يبقى تزايدية
+
+215
+00:23:13,490 --> 00:23:21,130
+تقريباً تزايدية يبقى
+
+216
+00:23:21,130 --> 00:23:24,090
+تزايدية
+
+217
+00:23:28,610 --> 00:23:39,030
+وهذه دالة تزايدية. أو أي خط أفقي في نقطة واحدة فقط
+
+218
+00:23:39,030 --> 00:23:42,350
+لا بدة. لأن هذه الدالة وانتهت.
+
+219
+00:23:44,990 --> 00:23:50,530
+بالشكل اللي لنا هذا هذا محور x وهذا محور y. وكذا
+
+220
+00:23:50,530 --> 00:23:55,030
+تبدأ على سبيل المثال بالشكل اللي لنا هذا. يبقى هذا
+
+221
+00:23:55,030 --> 00:24:00,370
+اللي لنا معاها decreasing تناقصية. يبقى هذه
+
+222
+00:24:00,370 --> 00:24:01,910
+decreasing
+
+223
+00:24:05,240 --> 00:24:11,300
+function ارسم أي خط أفقي طيب نقلها إلى نقطة واحدة
+
+224
+00:24:11,300 --> 00:24:15,220
+وأمن هنا فأي increasing function أو decreasing
+
+225
+00:24:15,220 --> 00:24:22,480
+function هي عجباً عن one to one function طيب
+
+226
+00:24:22,480 --> 00:24:27,640
+نوجد حاجة بسيطة نأخذ بعض الأمثلة العادية اللي
+
+227
+00:24:27,640 --> 00:24:31,020
+بتلطف الجو هيك ملاش يكون كله كلام ناسي
+
+228
+00:24:47,350 --> 00:24:57,910
+زائد اثنين and الـ g of x اللي يتساوي and الـ g of
+
+229
+00:24:57,910 --> 00:25:09,990
+x يساوي x زائد واحد على x one to one سؤال
+
+230
+00:25:09,990 --> 00:25:13,270
+بيطلع نفسه وبنحاول إنجازه
+
+231
+00:25:18,140 --> 00:25:22,440
+هل الدوال اللي عندنا هذه تبقى دوال one to one أم
+
+232
+00:25:22,440 --> 00:25:22,480
+لا؟
+
+233
+00:25:27,070 --> 00:25:34,750
+هل هذه الدالة واحدة واحدة أو لا؟ هناك أكثر من
+
+234
+00:25:34,750 --> 00:25:39,750
+طريقة لإثبات الدالة هل هي واحدة واحدة أو لا،
+
+235
+00:25:39,750 --> 00:25:41,970
+وليس واحدة واحدة أو لا، وليس واحدة واحدة أو لا،
+
+236
+00:25:41,970 --> 00:25:43,970
+وليس واحدة واحدة أو لا، وليس واحدة واحدة أو لا،
+
+237
+00:25:43,970 --> 00:25:50,750
+وليس واحدة واحدة أو لا،
+
+238
+00:26:00,480 --> 00:26:07,180
+أفترض إنه في عندي صورتين متساويتين إذا بدأت أثبت
+
+239
+00:26:07,180 --> 00:26:11,820
+إن الأصل المتساوي بصير وأنت وما قدرت يرجع ينسى
+
+240
+00:26:11,820 --> 00:26:21,040
+الموضوع يرجع بالتاجر أقول Assume أفترض إن الـ F of
+
+241
+00:26:21,040 --> 00:26:27,040
+X1 تساوي الـ F of X2
+
+242
+00:26:30,720 --> 00:26:35,500
+إن الصوتين متساويتين، إيش بدي أثبت؟ إن الـ X واحد
+
+243
+00:26:35,500 --> 00:26:39,760
+بدي أثبت الـ X اثنين، إن قدرت أثبت هذا، بصير البام
+
+244
+00:26:39,760 --> 00:26:44,320
+هاد مالها وأنت واحد. فبقى بدي أسأل سؤال، أنا خدت الـ
+
+245
+00:26:44,320 --> 00:26:49,240
+elements بعينيهم ولا اختياري من ما يكون يكون؟
+
+246
+00:26:49,240 --> 00:26:52,880
+ممتاز جداً، يعني يا شباب لو أنا راح أدج الباب اللي
+
+247
+00:26:52,880 --> 00:26:59,380
+هناك، وأنا بقال لك، علي تبديك شوية يبقى هل اختار
+
+248
+00:26:59,380 --> 00:27:03,720
+طالب بعينه علشان فلان فلان؟ طبعاً لا، مرقعه أخذ أي
+
+249
+00:27:03,720 --> 00:27:07,260
+طالب، لكن لو زجج الجابر هاجه جانبه محمد محمود
+
+250
+00:27:07,260 --> 00:27:13,200
+عبد الهادي، مثلاً، كيف؟ يبقى عقوبة، إذا موجود، أقوله 
+
+251
+00:27:13,200 --> 00:27:15,600
+موجود، إذا موجود، هذا يعني هو بيقطع، إذا مش موجود،
+
+252
+00:27:15,600 --> 00:27:19,420
+أقول له مش موجود، وهذا الكلام في الحالة الثانية قال
+
+253
+00:27:19,420 --> 00:27:23,940
+يختار طالب بعينه. لأ طبعًا هذا ما ينفعش، حد ما في
+
+254
+00:27:23,940 --> 00:27:27,940
+الطباعة. لما تأخذ X واحد و X اثنين، أي عنصر ينطبق
+
+255
+00:27:27,940 --> 00:27:32,280
+على أي عنصر موجودة في الدماغ. إذا ما ينطبق عليهم
+
+256
+00:27:32,280 --> 00:27:35,840
+ينطبق على باقي العناصر منهم عن عناصر أخرى اللي من الخارج.
+
+257
+00:27:41,530 --> 00:27:48,370
+أنا اخترقت أن f of x1 يكون أيضًا f of x2 يكون أيضًا
+
+258
+00:28:11,510 --> 00:28:16,830
+طب هو بيحصل باتنين للطرفين، يبقى إيش بيصير عندي؟
+
+259
+00:28:16,830 --> 00:28:22,390
+بيصير عندي x واحد زائد واحد لكل تكعيب يساوي x
+
+260
+00:28:22,390 --> 00:28:29,610
+اثنين زائد واحد لكل تكعيب، خذ الجذر الثالث للطرفين
+
+261
+00:28:29,610 --> 00:28:34,970
+يبقى بيصير عندي x واحد زائد واحد يساوي x اثنين
+
+262
+00:28:34,970 --> 00:28:41,950
+زائد واحد، وأضيف لي سالب واحد للطرفين، يبقى بيصير
+
+263
+00:28:41,950 --> 00:28:50,510
+عندنا X واحد يساوي X اثنين، شو تفسيرك لهذا؟ يبقى
+
+264
+00:28:50,510 --> 00:29:00,010
+هذا يعطينا أن ال F is one to one، يبقى 
+
+265
+00:29:00,010 --> 00:29:04,330
+مضمونها، بلغة F one to one، خلاص هذا هو المطلوب تبع
+
+266
+00:29:04,330 --> 00:29:04,690
+السؤال
+
+267
+00:29:08,080 --> 00:29:19,040
+بداية للدالة الثانية، يبقى يا شباب إحدى الطرق لإثبات
+
+268
+00:29:19,040 --> 00:29:22,980
+أن الدالة one to one، إنه يأخذ صورتين متساويتين
+
+269
+00:29:22,980 --> 00:29:29,260
+عشوائيًا ويحاول يثبت أن الأصل تبعهم ما له متساويين،
+
+270
+00:29:29,260 --> 00:29:32,040
+يقول خلاص وحلّنا مشكلتنا، والقبلة
+
+271
+00:29:34,270 --> 00:29:40,490
+طب نأخذ طريقة أخرى، لو جئت لك بدالة لأن هذه الـ g of
+
+272
+00:29:40,490 --> 00:29:48,470
+x بدها تساوي x زائد واحد على x، لازم تثبتها بنفس
+
+273
+00:29:48,470 --> 00:29:53,030
+الطريقة اللي فاتت، لازم تغير الطريقة الآن، لما أقول
+
+274
+00:29:53,030 --> 00:30:01,590
+أثبت أن هذه تساوي هذه، لو جبت counter example، مثال
+
+275
+00:30:05,270 --> 00:30:08,990
+بنغير الشغل هذه، مظبوط ولا لأ؟ يبقى احنا جايين نشوف
+
+276
+00:30:08,990 --> 00:30:14,670
+لهذه هل هي one to one ولا لأ. إذا كنت أجيب له مثال
+
+277
+00:30:14,670 --> 00:30:22,150
+أن صورتين متساويتين لكن أصلهم غير متساوي، ده كنت
+
+278
+00:30:22,150 --> 00:30:27,950
+ما أريده صورة. يعني مثال ضد أن تكون one to one،  بست وليس
+
+279
+00:30:27,950 --> 00:30:31,490
+بالضرورة أن أنا أروح أبرهن زي جامع بدمان، أبرهن زي 
+
+280
+00:30:31,490 --> 00:30:35,390
+جامع برضه مافي مشكلة، تمام؟ فبقى الـ counter
+
+281
+00:30:35,390 --> 00:30:40,870
+example يعني مثال ضد هالشغل هذا، نطلع فيها كويس لو
+
+282
+00:30:40,870 --> 00:30:47,970
+أخذت العنصرين اثنين ونصف، عنصر رقم اثنين وعنصر نصف
+
+283
+00:30:47,970 --> 00:30:51,670
+وشوف قداش قيمة الدالة في كل الحالتين
+
+284
+00:30:54,040 --> 00:30:58,340
+هذا يجب أن يكون واقينا أن الـ g of اثنين يساوي
+
+285
+00:30:58,340 --> 00:31:03,200
+اثنين زائد واحد على اثنين، اثنين ونصف يعني كده؟
+
+286
+00:31:03,200 --> 00:31:12,400
+خمسة على اثنين، and الـ g of نصف يساوي نصف زائد واحد
+
+287
+00:31:12,400 --> 00:31:18,250
+على نصف، واحد على الأصل هو اثنين، أو الأصل جا اثنين، أو
+
+288
+00:31:18,250 --> 00:31:23,650
+الأصل جا خمسة على اثنين. إذا صار أنت وصلتين
+
+289
+00:31:23,650 --> 00:31:29,570
+متساويتين، كل واحدة منهم خمسة على اثنين. لكن هل
+
+290
+00:31:29,570 --> 00:31:34,030
+الأصل متساوي؟ لأ. يعني هل أنا واحد وأنت واحد؟ لأ.
+
+291
+00:31:44,610 --> 00:31:55,030
+الـ g of اثنين يساوي الـ g of نصف، ولكن اثنين لا تساوي نصف
+
+292
+00:31:55,030 --> 00:32:03,730
+يعني هذا مثال عددي يثبت أن هذه الدالة ليست one to
+
+293
+00:32:03,730 --> 00:32:11,580
+one، طب لو رحت أنا جبت مثال عددي يثبت إنها one to
+
+294
+00:32:11,580 --> 00:32:16,240
+one، بيصير كلام صحيح للجميع؟ لأ، لأ، لأ، لأ، لأ،
+
+295
+00:32:16,240 --> 00:32:17,520
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+296
+00:32:17,520 --> 00:32:18,540
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+297
+00:32:18,540 --> 00:32:20,420
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+298
+00:32:20,420 --> 00:32:22,880
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+299
+00:32:22,880 --> 00:32:31,960
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ
+
+300
+00:32:36,860 --> 00:32:40,920
+بـ Increasing، يبقى one to one، لو طلعت Decreasing
+
+301
+00:32:40,920 --> 00:32:45,540
+على طول يبدو كمان one to one، هي طريقة ثالثة، وهاتلة
+
+302
+00:32:45,540 --> 00:32:51,040
+يعني يمكن إثبات الـ one to one بعدد طرق أو بأكثر من
+
+303
+00:32:51,040 --> 00:32:57,800
+طريقة، نجي الآن للتعريف الثاني اللي رفعناه في
+
+304
+00:32:57,800 --> 00:33:02,640
+بداية المحاضرة وهو الـ inverse function، يبقى بدنا
+
+305
+00:33:02,640 --> 00:33:03,640
+نجي لـ definition
+
+306
+00:33:07,400 --> 00:33:14,580
+افترض أن الـ
+
+307
+00:33:14,580 --> 00:33:23,460
+F هو عملية واحدة واحدة، عملية واحدة واحدة على
+
+308
+00:33:23,460 --> 00:33:26,600
+مصدرها
+
+309
+00:33:26,600 --> 00:33:35,300
+D مع مجموعة R مع مجموعة
+
+310
+00:33:38,750 --> 00:33:45,590
+the inverse function
+
+311
+00:33:45,590 --> 00:33:56,230
+الـ F انفرس is defined by
+
+312
+00:33:56,230 --> 00:33:58,850
+العلاقة التالية
+
+313
+00:34:26,530 --> 00:34:30,950
+يبقى the inverse function، if inverse is defined by
+
+314
+00:34:30,950 --> 00:34:33,290
+أعرفها كالتالي
+
+315
+00:34:36,150 --> 00:34:45,450
+F inverse of B يكون أيضًا F of A يكون أيضًا F of A
+
+316
+00:34:45,450 --> 00:34:52,510
+يكون أيضًا
+
+317
+00:34:52,510 --> 00:35:05,050
+F of A
+
+318
+00:35:05,140 --> 00:35:11,340
+the revenge of
+
+319
+00:35:11,340 --> 00:35:25,760
+if and the else as دي، بنروح
+
+320
+00:35:25,760 --> 00:35:34,100
+نوضح التعريف هذا. شوفوا يا شباب أنا عندي ست دي وست ا.
+
+321
+00:35:35,070 --> 00:35:40,730
+الـ set D لو جئت وقلت هذه هي الـ set D أو هذه هي
+
+322
+00:35:40,730 --> 00:35:46,850
+الـ domain، هذه هي الـ set R هي عبارة عن الـ range للدالة
+
+323
+00:35:46,850 --> 00:35:51,990
+F، مش الـ codomain، لأن الـ codomain يمكن أن عناصر
+
+324
+00:35:51,990 --> 00:35:56,250
+ما تظهرش كصورة، يعني أنا بدي الـ range معناته كل
+
+325
+00:35:56,250 --> 00:36:01,190
+العناصر اللي في الـ range هم الصور لعناصر من الـ
+
+326
+00:36:01,190 --> 00:36:09,040
+domain، هتجيني F من D إلى A، يبقى A يبدأ بالـ F لو
+
+327
+00:36:09,040 --> 00:36:16,860
+كان عندي عنصر هنا اسمه A في D، F هتأثر عليه هتدي له
+
+328
+00:36:16,860 --> 00:36:26,580
+صورته هنا، F of A، لأن F of A هتسميه كمان بـ B، يبقى
+
+329
+00:36:26,580 --> 00:36:28,880
+بـ B عنصر في الـ range
+
+330
+00:36:32,110 --> 00:36:41,630
+العكسية بدأت تأخذ من D إلى الـ Range تبع الـ F، ترجع
+
+331
+00:36:41,630 --> 00:36:48,750
+لها إلى D تمامًا، يجي الـ F انفرس سيأتي له بـ B بالشكل
+
+332
+00:36:48,750 --> 00:36:55,090
+لأن هذا في اتجاه المعكس، يجي هذا الـ F انفرس بالشكل
+
+333
+00:36:55,090 --> 00:37:00,600
+لأننا نقرأ الكلام ونشوفه على الرسم، نقرأ التاريخ
+
+334
+00:37:00,600 --> 00:37:07,040
+نفترض أن الدالة F is one to one، one to one يعني F
+
+335
+00:37:07,040 --> 00:37:11,920
+لما أنا أثرت على عنصر في الدومين، كل واحد نظر له صورة
+
+336
+00:37:11,920 --> 00:37:16,920
+مُنفصلة ما لهاش علاقة بالتانية، عندي ثلاثة عناصر يبدو
+
+337
+00:37:16,920 --> 00:37:20,880
+عندي ثلاثة صور، عندي عشر عناصر يبدو عندي عشر صور، و
+
+338
+00:37:20,880 --> 00:37:28,040
+هكذا مافيش اشتراك بينهم، أكثر أفينلو كانت وكأن الـ F
+
+339
+00:37:28,040 --> 00:37:34,880
+is one to one، هو شرط لضمان وجود المعكوس، هي احنا
+
+340
+00:37:34,880 --> 00:37:38,520
+ليش بنشتغل من أول محاضرة على الـ one to one؟ نشتغلش
+
+341
+00:37:38,520 --> 00:37:43,440
+عليها بلاش، لأنها لازمة، لازمة بعد قليل. فبعدين
+
+342
+00:37:43,440 --> 00:37:46,940
+بيقولوا ده لأ، if is one to one function على الـ domain
+
+343
+00:37:46,940 --> 00:37:53,160
+تبعها وكان الـ range تبعها R، يبقى the inverse
+
+344
+00:37:53,160 --> 00:37:58,760
+function الـ F فوقها سالب واحد، F فوقها سالب واحد
+
+345
+00:37:58,760 --> 00:38:05,000
+ليست F أساسي واحد، فقص سالب واحد بيبقى واحد على F
+
+346
+00:38:05,000 --> 00:38:10,740
+فهذا ما يسمونه الـ Spherical، مقلوب طبعًا لأن ما
+
+347
+00:38:10,740 --> 00:38:14,960
+قبلناش المقلوب، بدنا المعكوس، فالـ F وفوقها سالب
+
+348
+00:38:14,960 --> 00:38:21,120
+واحد رمز يدل على معكوس الدالة وليس على مقلوب الدالة
+
+349
+00:38:40,480 --> 00:38:48,810
+فإذا كان f of a يساوي مين؟ يساوي b، فإذا كان f of a، نرجع
+
+350
+00:38:48,810 --> 00:38:53,830
+مرة ثانية. أنا قلت بالله أخدنا one to one. يبقى
+
+351
+00:38:53,830 --> 00:38:59,510
+الـ inverse الواحد هذا فتنهر له صورة اسم F of A، ولا
+
+352
+00:38:59,510 --> 00:39:02,610
+واحد هيشارك فيها. زواج كاثوليكي.
+
+353
+00:39:08,220 --> 00:39:12,960
+إيه اللي هو مين؟ اللي هو بـ B. وترجعه أين؟ وترجعه
+
+354
+00:39:12,960 --> 00:39:17,280
+الـ A، يعني كان ما حصلش حاجة. اللي عملناه وقعناه.
+
+355
+00:39:17,380 --> 00:39:21,100
+ما رجعناه، كل شيء في مكانه. زي ما يجي يخلي واحد
+
+356
+00:39:21,100 --> 00:39:25,700
+يمشي من هنا لغاية هناك، قصرنا عليه ذلة، نجلة من هنا
+
+357
+00:39:25,700 --> 00:39:29,100
+لغاية هناك، قصرنا ذلة من هنا لغاية هناك ورجعت
+
+358
+00:39:29,100 --> 00:39:29,620
+مكانه.
+
+359
+00:39:32,720 --> 00:39:37,300
+يبقى اللي رجعتها اللي نسميها المعكوس، ودي هي الأصل
+
+360
+00:39:37,300 --> 00:39:43,340
+ترجع الصورة على التمام، يبقى هذا من تعريف الـ one to
+
+361
+00:39:43,340 --> 00:39:47,640
+one function، نرجع نطلع على الرسمة ونشوف مين الـ Domain الـ F بس
+
+362
+00:39:50,710 --> 00:39:55,370
+الـ R هي الـ Range تبع الـ F، وأين الـ Range تبع
+
+363
+00:39:55,370 --> 00:39:59,570
+الـ F inverse؟ ممتاز جدًا، يبدأ الشخص يشوف أن هنا
+
+364
+00:39:59,570 --> 00:40:03,950
+الـ Domain تبع الـ F inverse هو R اللي هو الـ
+
+365
+00:40:03,950 --> 00:40:08,650
+Range تبع الـ F، وكذلك الـ Range تبع الـ F inverse
+
+366
+00:40:08,650 --> 00:40:13,910
+هو D اللي هو الـ Domain تبع من قبل الـ F، وبقى
+
+367
+00:40:13,910 --> 00:40:18,730
+كمان كويس، يعني يا شباب، لو جيت سألتكم سؤال بسيط
+
+368
+00:40:18,730 --> 00:40:26,130
+هذا، لو كانت النقطة a و b موجودة على منحنى الدالة f
+
+369
+00:40:26,130 --> 00:40:33,290
+فإن النقطة المناظرة لها على منحنى f inverse بيجي
+
+370
+00:40:34,570 --> 00:40:39,570
+يبقى A صورتها بـ B، وهذه الطريقة هترمي لدالة F، يبقى
+
+371
+00:40:39,570 --> 00:40:44,690
+الـ A و B موجود على رفم البيانية لدالة F، لكن الـ B و
+
+372
+00:40:44,690 --> 00:40:48,910
+A موجودة على رفم البيانية لدالة F inverse، وهذا ما
+
+373
+00:40:48,910 --> 00:40:52,570
+سأشير إليه بعد قليل إن شاء الله تعالى
+
+374
+00:41:02,990 --> 00:41:08,550
+بنحل عليها أسئلة أكثر، يبقى بدنا نأخذ الـ
+
+375
+00:41:08,550 --> 00:41:13,990
+properties of
+
+376
+00:41:13,990 --> 00:41:21,970
+f inverse of x الخاصية
+
+377
+00:41:21,970 --> 00:41:30,510
+الأولى f  الـ f inverse is the inverse 
+
+378
+00:41:38,570 --> 00:41:44,530
+فانفرس لـ تساوي واحدة الـ F وهذا ما أشرنا إليه قبل 
+
+379
+00:41:44,530 --> 00:41:50,630
+قليل. لو كان الـ F of A بدي أساوي الـ B
+
+380
+00:41:57,360 --> 00:42:03,560
+احنا في التعريف هنا قلنا يا شي F of A بدي أساوي بيه
+
+381
+00:42:03,560 --> 00:42:08,980
+قلت أن أنا بدي أوصل لهذه اللي جال عليها لأن هذه
+
+382
+00:42:08,980 --> 00:42:14,100
+نتجت من هذه طيب أنا قلت له شو رأيك بدي أثر على
+
+383
+00:42:14,100 --> 00:42:20,680
+الطرفين بـ F inverse طبعا عندما جيت هنا قلت F
+
+384
+00:42:20,680 --> 00:42:23,100
+inverse لمين؟
+
+385
+00:42:26,070 --> 00:42:35,750
+بتصير الـ F inverse of V. طبعا هذا composition بين
+
+386
+00:42:35,750 --> 00:42:40,470
+الـ F والـ F inverse. لو رجعنا لكالكلصية، هذا
+
+387
+00:42:40,470 --> 00:42:43,530
+اللي على الشمال تعريف مين؟ تعريف الـ composition.
+
+388
+00:42:43,630 --> 00:42:47,890
+No functions. يعني هذا كأن مين؟ كأن
+
+389
+00:42:54,990 --> 00:42:59,510
+F inverse of A. الـ Composition من الدالة و
+
+390
+00:42:59,510 --> 00:43:03,370
+معاكسها بيعطينا الـ identity function فهو مش هنقولك 
+
+391
+00:43:03,370 --> 00:43:07,830
+identity لأن هذا أكبر منك شوية يبقى واحدة هتنغيط
+
+392
+00:43:07,830 --> 00:43:15,430
+تانية إذا هذا بيعطينا A تساوي F inverse of B تمام؟
+
+393
+00:43:15,430 --> 00:43:21,350
+يبقى هنا في التعريف اللي F inverse of B ما كان الـ
+
+394
+00:43:21,350 --> 00:43:25,690
+F of A يساوي الـ B وهي الـ F of A أخذناها تساوي
+
+395
+00:43:25,690 --> 00:43:30,110
+الـ B وآخرناها تقفل من الـ F inverse فقلنا إن الـ
+
+396
+00:43:30,110 --> 00:43:33,990
+A بتساوي الـ F inverse of B دي بالك من كلام هذا
+
+397
+00:43:33,990 --> 00:43:37,290
+هناخد عليه مثال بعد قليل
+
+398
+00:43:49,170 --> 00:43:55,950
+هذا يجب أن يعطينا أن الـ F انفرز للـ F of X طبقا
+
+399
+00:43:55,950 --> 00:44:00,310
+لتعريف الـ composition of functions فهذه الواحدة
+
+400
+00:44:00,310 --> 00:44:06,690
+سوف تلغي التانية جدتش جدتش بدي أقول X السؤال هو X
+
+401
+00:44:06,690 --> 00:44:11,510
+يا ترى في دمين الدالة F ولا في دمين الـ F انفرز
+
+402
+00:44:14,620 --> 00:44:18,040
+طلع اللي هو حاجة مكتوبة قدامك، بس طلع فيها، مش
+
+403
+00:44:18,040 --> 00:44:22,440
+تحذير يعني، في domain مين؟ لو ما كنتش في domain
+
+404
+00:44:22,440 --> 00:44:27,640
+الـF، هي بتقدر تأثر عليها الـF؟ مش ممكنية، لأن X
+
+405
+00:44:27,640 --> 00:44:32,380
+هذه اللي عندنا عنصر في domain مين؟ في domain الـX،
+
+406
+00:44:32,380 --> 00:44:38,860
+والـX هذه موجودة في domain الـF طيب، في المقابل
+
+407
+00:44:38,860 --> 00:44:40,940
+لرقم اربعة لغة F
+
+408
+00:44:46,840 --> 00:44:52,320
+بترى أن الـ composition بتكون F للـ F inverse of X
+
+409
+00:44:52,320 --> 00:44:56,440
+بيبدو يساوي الـ X والـ X سبساوية موجودة دوية
+
+410
+00:44:59,460 --> 00:45:04,300
+في مستوى من؟ في مستوى الانفراد. تمام. يبقى هذه
+
+411
+00:45:04,300 --> 00:45:11,040
+موجودة في مستوى الانفراد. يبقى شايف الفرق ما بين
+
+412
+00:45:11,040 --> 00:45:16,240
+الاتنين. فنجي نقول هذه هي هذه، لأ، هذه مش هي هذه،
+
+413
+00:45:16,240 --> 00:45:19,860
+بختلفوا. يبدو أن هذا الكمبوزيشن من الـ F inverse
+
+414
+00:45:19,860 --> 00:45:24,180
+والـ F وهذا الكمبوزيشن من الـ F والـ I ولو راجعنا
+
+415
+00:45:24,180 --> 00:45:29,420
+بالذاكرة إلى الوراق لـ Calculus A بجينا نقول الـ F
+
+416
+00:45:29,420 --> 00:45:35,120
+composition G ليس بالضرورة للثانوية جي كمبوزيشن F
+
+417
+00:45:35,120 --> 00:45:40,220
+صحيح ولا لأ؟ وهذا يعني أنه اكسد في دومين الـ F لكن
+
+418
+00:45:40,220 --> 00:45:44,780
+اكسد في دومين الـ F inverse ورنج الـ F مش الـ
+
+419
+00:45:44,780 --> 00:45:48,600
+domain تبع الـ يبقى فرق شاسع ما بين الأتنين. طبعا
+
+420
+00:45:48,600 --> 00:45:55,460
+الـ .. نجل النقطة الخامسة والأخيرة من الخواص اللي
+
+421
+00:45:55,460 --> 00:46:03,200
+بنشير إليها. متى يمكن أن كل الدنيا معاكوس؟ يعني مش
+
+422
+00:46:03,200 --> 00:46:08,400
+كل دنيا لها معاكوس. صح ولا؟ احنا قبل شوية أخدنا
+
+423
+00:46:08,400 --> 00:46:12,660
+حلقة خاصة من يدنيا اللي هي one to one. الـ one to
+
+424
+00:46:12,660 --> 00:46:12,800
+one
+
+425
+00:46:16,020 --> 00:46:20,800
+فإذا بقدر أرجع كل واحد لأصله، لكن لو أنصرهم
+
+426
+00:46:20,800 --> 00:46:26,620
+اشتركوا في نفس الصورة، لما بدي أرجعه؟ أوجهه لين؟
+
+427
+00:46:26,620 --> 00:46:32,160
+الله يعلم، بيبطل يصير الـ F inverse exists يبقى
+
+428
+00:46:32,160 --> 00:46:37,220
+الشرط الأساسي لوجود الـ F المصحوقة تكون الدالة one
+
+429
+00:46:37,220 --> 00:46:37,800
+to one
+
+430
+00:46:44,120 --> 00:46:53,140
+يبقى نقطة خامسة الـ F has an inverse لها مراكز F
+
+431
+00:46:53,140 --> 00:47:04,360
+inverse if and only if الـ F is one to one يبقى
+
+432
+00:47:04,360 --> 00:47:08,660
+من الآن فصاعدا لو جالي السؤال وجالي شوف
+
+433
+00:47:15,280 --> 00:47:19,200
+والله إذا طلعت الدالة one to one يبقى المعكوس
+
+434
+00:47:19,200 --> 00:47:23,760
+موجود مرة طلعت one to one يبقى المعكوس غير موجود
+
+435
+00:47:23,760 --> 00:47:29,040
+وكفى الله المؤمنين القتال. طب بعد ذلك بناخد بعض
+
+436
+00:47:29,040 --> 00:47:32,860
+الأمثلة التوضيحية عليها الخواص اللي بنحكي عنها
+
+437
+00:47:32,860 --> 00:47:33,240
+الآن.
+
+438
+00:47:59,020 --> 00:48:10,340
+بقول لك الـ F of X يساوي تماما X تكعيب زائد تلاتة
+
+439
+00:48:10,340 --> 00:48:16,640
+شهرات ضيّلي M شهرات
+
+440
+00:49:00,400 --> 00:49:06,800
+تلاتة وطلع مطلوبين. المطلوب الأول اخبطني أن هذا
+
+441
+00:49:06,800 --> 00:49:08,360
+المعكوس موجود
+
+442
+00:49:10,610 --> 00:49:14,770
+أثبت لي أن هذا المعكوس يكون على مين؟ على الشكل
+
+443
+00:49:14,770 --> 00:49:18,350
+اللي عندنا هنا خلينا مع المطموق الأول بعد ذلك نروح
+
+444
+00:49:18,350 --> 00:49:19,350
+لمطموق الثاني
+
+445
+00:49:28,760 --> 00:49:31,780
+بنقول إذا طلعت الدالة one to one يبقى المعكوس
+
+446
+00:49:31,780 --> 00:49:36,200
+موجود وبعد ذلك بنروح ندور على قصة مين المعكوس شو
+
+447
+00:49:36,200 --> 00:49:40,700
+شكله هذا يبقى أنا هنا بدي أثبت أن هذا يبقى بدي
+
+448
+00:49:40,700 --> 00:49:45,840
+أثبت أن هذه مالها one to one بسيطة جدا كله يثبتها
+
+449
+00:49:45,840 --> 00:49:50,820
+one to one زي ما أثبتنا قبل شوية ممكن ناخد صورة
+
+450
+00:50:25,430 --> 00:50:32,150
+لو أضفنا سالب تلاتة للطرفين بصير تمانية اكس واحد تكعيب يساوي تمانية اكس اتنين تكعيب يبقى
+
+451
+00:50:32,150 --> 00:50:39,670
+نفسنا على تمانية بصير جداش اكس واحد تكعيب يساوي اكس اتنين تكعيب يبقى
+
+452
+00:50:39,670 --> 00:50:45,350
+ناخد الجذر التالت يبقى X1 يساوي X2 يبقى
+
+453
+00:50:45,350 --> 00:50:55,750
+هنا ف الـ F is one to one هذا سيعطينا أن الـ F exist
+
+454
+00:51:07,790 --> 00:51:11,410
+أجي واحد تاني قال لي أنت ليش عملت كتير هيك؟ مكان
+
+455
+00:51:11,410 --> 00:51:15,190
+في السطر واحد وخلاصنا بقولك ايه؟ قال لي ما كانش
+
+456
+00:51:15,190 --> 00:51:18,130
+تقالة دول وخلاص هذه ماهي السهلة لما درجة تلتة
+
+457
+00:51:18,130 --> 00:51:21,330
+مستقلة لما درجة تانية هي موجبة على طول. قلت والله
+
+458
+00:51:21,330 --> 00:51:25,230
+كلامك صحيح يعني لأن أنا هادر ثلاثة في تمانية
+
+459
+00:51:25,230 --> 00:51:29,790
+24 X ثابت يجي دايمًا أول أكبر من أول 
+
+460
+00:51:29,790 --> 00:51:33,990
+تساوي Zero يبقى increasing يبقى one to one يبقى هذا
+
+461
+00:51:33,990 --> 00:51:39,450
+حل آخر لمين؟ لأن مثلا يبقى هنا لو جينا وقلنا
+
+462
+00:51:39,450 --> 00:51:44,090
+another solution، حل آخر.
+
+463
+00:51:56,710 --> 00:52:01,870
+بالـ X بالاستثناء هذا بدي يعطيك أن الـ F is
+
+464
+00:52:01,870 --> 00:52:13,010
+increasing هذا بدي يعطيك أن الـ F is one to one يبقى
+
+465
+00:52:13,010 --> 00:52:18,370
+هذا الطريقة أو الطريقة الأولى سيال اتنين are the
+
+466
+00:52:18,370 --> 00:52:23,200
+same بالحالة اللي تشوفها في رحلك ممكن تشتغل
+
+467
+00:52:23,200 --> 00:52:27,720
+باخلاصها من النقطة الأولى من المثلة بانجلا النقطة
+
+468
+00:52:27,720 --> 00:52:33,780
+الثانية جالي بيقول لي أن الـ F inverse of X يساوي نصف
+
+469
+00:52:33,780 --> 00:52:38,640
+الجذر التالت لـ X ناقص تلاتة كيف بتثبت له أن هذا
+
+470
+00:52:38,640 --> 00:52:45,100
+المعكوس تبعها؟ طاولة طاولة كيف يعني؟ بقول اه أنت
+
+471
+00:52:45,100 --> 00:52:49,840
+كتبت خواص تنتينلو عملت الـ composition من اليمين ومن
+
+472
+00:52:49,840 --> 00:52:55,220
+الشمال سيظهر نفس المتغير الذي هو X صحيح ولا لأ؟
+
+473
+00:52:55,220 --> 00:53:04,360
+يرجى بالدرجة أقوله مقبل أولى أخد F inverse للـ F of
+
+474
+00:53:04,360 --> 00:53:11,940
+X ويساوي الـ F inverse ليه؟ والـ F of X هي تمانية
+
+475
+00:53:17,910 --> 00:53:24,690
+تعريف الـ F inverse هو نص الجذر التالت لل element
+
+476
+00:53:24,690 --> 00:53:30,330
+اللي عندك ناقص تلاتة، يبقى هذا كله يعتبر element
+
+477
+00:53:30,330 --> 00:53:35,070
+في دمية مين؟ دمية الـ F inverse، يبقى بناء العلم
+
+478
+00:53:35,070 --> 00:53:42,440
+يبدأ يصير نصالجنرال التالت هو الجذر التالت X
+
+479
+00:53:42,440 --> 00:53:47,320
+اللي في domain of inverse هذه كلها في domain of
+
+480
+00:53:47,320 --> 00:53:55,200
+inverse إذا X أجى مكانها تماما X تكعيب زائد 3 عنده
+
+481
+00:53:55,200 --> 00:54:03,430
+هنا كماش ماقص 3 الشكل اللي عندنا هذابقص تلاتة مع
+
+482
+00:54:03,430 --> 00:54:11,690
+السلامة يبقى بصير نص الجذر التالت لتمانية X تكعيب 
+
+483
+00:54:11,690 --> 00:54:20,130
+يبقى نص الجذر التالت لاتنين X اتنين مع نص الوارد
+
+484
+00:54:20,130 --> 00:54:25,470
+السهل عليها من مر جداش X بكفي؟ لأ لأ لأ لأ لأ لأ
+
+485
+00:54:25,470 --> 00:54:26,410
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+486
+00:54:26,410 --> 00:54:27,870
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+487
+00:54:27,870 --> 00:54:30,130
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+489
+00:54:39,540 --> 00:54:45,620
+بدوا يسأل الـ F أو الـ F inverse اللي هي النص في
+
+490
+00:54:45,620 --> 00:54:52,780
+الجذر التالي للـ X ماقص تلاتة. بده يشوف هذا كده وبده
+
+491
+00:54:52,780 --> 00:54:58,320
+يتعطيه. الـ F لما اتأثر على العنصر يساوي تمانية
+
+492
+00:54:58,320 --> 00:55:04,450
+في مكعب العنصر زائد التلاتة. يبقى هاي تمانية. ببنى
+
+493
+00:55:04,450 --> 00:55:11,490
+مكعب العنصر هذا يبقى ياله نص الجذر التالت للـ X
+
+494
+00:55:11,490 --> 00:55:18,650
+ناقص تلاتة هذا وهيه لكل تكريم وبتروح بيه فانيه
+
+495
+00:55:18,650 --> 00:55:26,410
+قداش برا زائد تلاتة لأن هدف لما اتأثر على الانصر
+
+496
+00:55:26,410 --> 00:55:32,850
+بيكون يساوي تمانية في مكعب الانصر زائد تلاتة، تمام
+
+497
+00:55:32,850 --> 00:55:37,770
+التمام، يبقى هذا الكلام بيكون يساوي تمانية فيه،
+
+498
+00:55:37,770 --> 00:55:44,910
+مكعّب، يبقى ديشر، تمان، هاي تمانالتقريب مع
+
+499
+00:55:44,910 --> 00:55:51,970
+الجذر التالت الله سهل عليه بضل قدير X ناقص ثلاثة
+
+500
+00:55:51,970 --> 00:55:57,410
+وهي التلاتة اللي برا زائد تلاتة يفجر هذا الكلام 
+
+501
+00:55:57,410 --> 00:56:02,530
+بالدراسة تمانية في الكلمة الله سهل عليها بفضل قدير
+
+502
+00:56:02,530 --> 00:56:10,330
+X مراقبة ثلاثة وهي الثلاث اللي برا هنا أظن بطلع
+
+503
+00:56:10,330 --> 00:56:16,010
+الجرم قدير Xيبقى أخدت ال composition اليميني و الله
+
+504
+00:56:16,010 --> 00:56:20,230
+ال composition الأيسر و أصلني لنفس النتيجة، إذا
+
+505
+00:56:20,230 --> 00:56:24,810
+المعنى لكلام الدالة هذه فعلا هي عكوس الدالة
+
+506
+00:56:24,810 --> 00:56:33,230
+الأصلية، يبقى بقالي بقول نص اللي هو ال .. اللي هو
+
+507
+00:56:33,230 --> 00:56:35,070
+النص ال general
+
+508
+00:56:39,300 --> 00:56:55,900
+is the inverse function of تمانية X تكعيب زائد 
+
+509
+00:56:55,900 --> 00:56:58,520
+ثلاثة
+
+510
+00:57:06,400 --> 00:57:11,920
+اللي هي أي طريقة بتاعة ال composition لإن ما
+
+511
+00:57:11,920 --> 00:57:17,260
+عرفناكش حتى هذه اللحظة كيف بدك توجد المعكوس، مش
+
+512
+00:57:17,260 --> 00:57:21,900
+هنطول عليك بكرة إن شاء الله في محاضرة الغد، هنقفل
+
+513
+00:57:21,900 --> 00:57:26,820
+كيف تحسب المعكوس، هنا أطاني دالة و أطاني دالة
+
+514
+00:57:26,820 --> 00:57:30,910
+تنبغي يثبت إن هذه معكوس لهذه، روحنا على القواعد
+
+515
+00:57:30,910 --> 00:57:34,370
+استخدامناه و طلعنا إن هو دي المعكوس لكن في محاضرة
+
+516
+00:57:34,370 --> 00:57:39,130
+غدا إن شاء الله هنعلمك كيف بدك توجد معكوس الدالة 
+
+517
+00:57:39,130 --> 00:57:43,550
+من الدالة الموجودة إن شاء الله حد بقى يتصرف هنا يا
+
+518
+00:57:43,550 --> 00:57:50,910
+شباب؟ أو يستخدم؟ اه دي اتصرف من ال domain orange
+519
+00:57:50,910 --> 00:57:51,530
+ال inverse
+
+520
+00:57:54,150 --> 00:58:00,750
+Domain of the range inverse هو ال range تبع ال F
+
+521
+00:58:00,750 --> 00:58:05,890
+كتبناه قبل شوية صحيح ولا لأ؟ و ال range تبع ال F
+
+522
+00:58:05,890 --> 00:58:09,790
+inverse هو ال domain تبع ال F 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/LdYD_Mn7ME8_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/LdYD_Mn7ME8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c1da69817eb1980e0c24df9332c2f625c4910550
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/LdYD_Mn7ME8_postprocess.srt
@@ -0,0 +1,2088 @@
+1
+00:00:09,860 --> 00:00:16,280
+اليوم سنبدأ في صميم الموضوع وهو ال inverse
+
+2
+00:00:16,280 --> 00:00:17,180
+function
+
+3
+00:00:30,190 --> 00:00:32,910
+قبل ان ندخل في الانفراد الانفراد الانفراد الانفراد
+
+4
+00:00:32,910 --> 00:00:42,250
+الانفراد الانفراد الانفراد الانفراد
+
+5
+00:00:42,250 --> 00:00:44,790
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+6
+00:00:44,790 --> 00:00:44,850
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+7
+00:00:44,850 --> 00:00:45,910
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+8
+00:00:45,910 --> 00:00:45,950
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+9
+00:00:45,950 --> 00:00:46,570
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+10
+00:00:46,570 --> 00:00:58,430
+الانفراد الانفراد الانفراد الانفراد الانفراد
+
+11
+00:00:58,430 --> 00:01:08,360
+اليبقى definition a function f is
+
+12
+00:01:08,360 --> 00:01:13,180
+a rule that
+
+13
+00:01:13,180 --> 00:01:18,340
+assumes to
+
+14
+00:01:18,340 --> 00:01:24,720
+each
+
+15
+00:01:24,720 --> 00:01:29,080
+element x
+
+16
+00:01:30,570 --> 00:01:42,610
+m a set a a unique element عنصرا وحيدا a unique
+
+17
+00:01:42,610 --> 00:01:49,170
+element f of x m a set
+
+18
+00:01:59,660 --> 00:02:05,000
+نعود للكلام اللي كنا نكتبه ونبدأ بملاحظاتنا عليه
+
+19
+00:02:05,000 --> 00:02:09,880
+نفس التعريف تبع كالغلصين ما غيرناهوش يبقى جدالة F
+
+20
+00:02:09,880 --> 00:02:17,040
+هي صيرة او قاعدة مالها؟ شو بتعمل؟ ذات essence تعين
+
+21
+00:02:17,040 --> 00:02:25,650
+او تحدد او تخفف لكلموجود في الـ set A تخصص له
+
+22
+00:02:25,650 --> 00:02:31,690
+عنصرا واحدا unique element عنصرا واحدا f of x في
+
+23
+00:02:31,690 --> 00:02:36,570
+ال set B يعني لو كان عندي على سبيل المثال هذه هي
+
+24
+00:02:36,570 --> 00:02:43,070
+ال set A وكان عندي هنا هذه هي ال set B يبقى الدالة
+
+25
+00:02:49,050 --> 00:02:56,890
+بخصص للعنصر X اللي موجود في الست A عنصر وحيد في
+
+26
+00:02:56,890 --> 00:03:05,790
+الست B اسمه F of X الشكل اللي عندنا طيب نرجع نقرأ
+
+27
+00:03:05,790 --> 00:03:09,750
+النص تاني و نسقط هذا النص على الرسم اللي احنا
+
+28
+00:03:09,750 --> 00:03:15,190
+جاينه و نشوف كدهبقول الدالة F هي عبارة عن صيغة أو
+
+29
+00:03:15,190 --> 00:03:22,150
+قاعدة ذات أسلوب تحدد لكل عنصر X في الست Aيبقى الست
+
+30
+00:03:22,150 --> 00:03:25,890
+ليس بالضرورة أن يكون فيها عنصر واحدة إنما فيها
+
+31
+00:03:25,890 --> 00:03:31,810
+مجموعة من العناصر يبدأ لو جيت افترض ان هذا X واحد
+
+32
+00:03:31,810 --> 00:03:38,530
+وعندي هنا X اتنين وعندي عنصر تالت هنا X تلاتة طبعا
+
+33
+00:03:38,530 --> 00:03:45,390
+ال X واحد هذا كان في صورته هي F of X واحد لان
+
+34
+00:03:50,090 --> 00:03:58,770
+صورته f of x واحد والx اتنين كانت صورته هنا f of x
+
+35
+00:03:58,770 --> 00:04:06,290
+اتنين لكن ليزال هذه فيها عناصر اخرى زي العناصر
+
+36
+00:04:06,290 --> 00:04:13,300
+اللي عندنا قدر كويس؟نجي نقرا هنا to each element
+
+37
+00:04:13,300 --> 00:04:20,760
+in a set A هل الدالة F ستوطي أو ستمر على كل عنصر
+
+38
+00:04:20,760 --> 00:04:24,520
+من عناصر A ولا لأ؟ ولا هتمر على البعد والبعد
+
+39
+00:04:24,520 --> 00:04:30,290
+الآخر؟ لأع الجميع بلا استثناء لنقل to each element
+
+40
+00:04:30,290 --> 00:04:35,070
+لكل عنصر في ال set A طيب مدينة بدها تغطي جميع
+
+41
+00:04:35,070 --> 00:04:40,670
+العناصر هدول بلا استثناء إذا ال set A بسميها مجال
+
+42
+00:04:40,670 --> 00:04:46,510
+الدالة ال domain تبع ال function F يبقى هذه ال set
+
+43
+00:04:46,510 --> 00:04:53,370
+A هي عبارة عن domain الدالة F طيب
+
+44
+00:04:55,340 --> 00:05:02,560
+سؤال هو هل يمكن لأنصر واحد من الست A يطلع له
+
+45
+00:05:02,560 --> 00:05:09,660
+فارقين او قيمتين في الست B؟ما جالش تعرف ايه؟ جاليه
+
+46
+00:05:09,660 --> 00:05:14,320
+unique element، أنصر الوحيدة، يعني اذا كان أنصر
+
+47
+00:05:14,320 --> 00:05:19,120
+الوحيد من الست ايه، بلاجيله أنصر وحيد وين؟ في الست
+
+48
+00:05:19,120 --> 00:05:25,420
+بي فقط لغاية، السؤال هو هل يمكن أنصراني من الست
+
+49
+00:05:25,420 --> 00:05:31,210
+ايه أن يشترك في نفس الصورة من الست بي؟هذا يعني
+
+50
+00:05:31,210 --> 00:05:34,330
+اننا ماعندناش مشكلة في الشمالة يبقى مدام في
+
+51
+00:05:34,330 --> 00:05:38,150
+الشمالة يبقى خلاص مافي مشكلة ليش؟ لأنه منصش
+
+52
+00:05:38,150 --> 00:05:42,330
+وبالتالي لما نقوم في روم زي X واحد و X تلاتة
+
+53
+00:05:45,750 --> 00:05:50,310
+يبقى f of x واحد وf of x ثلاثة يبقى f of x واحد وf
+
+54
+00:05:50,310 --> 00:05:53,950
+of x ثلاثة اعلى ايكل اتنين نفس الشيء يبقى مافي
+
+55
+00:05:53,950 --> 00:05:58,550
+مشكلة في هذه الحالة لأن مافيش نص ينغي هذا الكلام
+
+56
+00:05:58,550 --> 00:06:04,930
+اذا ممنوع أنصر واحد كله صورتين لامنع ان يشتري
+
+57
+00:06:04,930 --> 00:06:09,970
+كأنصران في نفس الصورة مافيش مشكلة عندنا في هذه
+
+58
+00:06:09,970 --> 00:06:17,400
+الحالة تمام تمام طيبهل يمكن للدالة if صورها اتغطي
+
+59
+00:06:17,400 --> 00:06:22,560
+جميع عناصر بيه؟ لأ لأن هاي لثانثة و هاي اتنين و
+
+60
+00:06:22,560 --> 00:06:30,000
+هاي تلاتة ماضعروش كصور لعناصر من الانإذاً ال B هنا
+
+61
+00:06:30,000 --> 00:06:35,880
+بسميه ال code domain المجال المصاحب المجال المناظر
+
+62
+00:06:35,880 --> 00:06:41,020
+المجال المقابل اللي بدك اللي هيبقى B هنا بسميه ال
+
+63
+00:06:41,020 --> 00:06:51,690
+code domain of Fهنا اظهر لي العواصرين اللي اتنين
+
+64
+00:06:51,690 --> 00:06:57,190
+هدول اللي هم الصورة الصورانش بيسميهم ال range تبع
+
+65
+00:06:57,190 --> 00:07:01,730
+ال F اي ال image تبع ال F الصورة تبع اتنين ال F
+
+66
+00:07:01,730 --> 00:07:07,030
+يبقى هذه اللي هي العواصرين اللي اتنين هدول بسميهم
+
+67
+00:07:07,030 --> 00:07:07,830
+ال range
+
+68
+00:07:16,640 --> 00:07:22,060
+يبقى هي صورة the life، ممتاز جدا، إذا في أننا
+
+69
+00:07:22,060 --> 00:07:28,420
+بنان، في أننا كودمان، في أننا range، السؤال هو هل
+
+70
+00:07:28,420 --> 00:07:34,640
+يمكن لل range أن يكون أكبر من الكودمان؟ مش ممكنية
+
+71
+00:07:36,600 --> 00:07:40,860
+البركة بصير جد مين؟ جد الكود مين؟ و in general هو
+
+72
+00:07:40,860 --> 00:07:46,660
+أقل منه، صحيحة أو لا؟ تمام، على أي حال هذه المقدمة
+
+73
+00:07:46,660 --> 00:07:51,160
+البسيطة اللي هو ال function يبقى، بدك تعرفلي إنه
+
+74
+00:07:51,160 --> 00:07:54,540
+ممكن لأوصارين إنهم يشتركوا في نفس الصورة، ماعناش
+
+75
+00:07:54,540 --> 00:07:58,880
+مشكلة، لكن لايمكن لأوصر واحد يذهب لمين، يذهب
+
+76
+00:07:58,880 --> 00:08:00,540
+لصوتين، فالتعريف
+
+77
+00:08:05,140 --> 00:08:10,640
+حالة خاصة او لما اقول حالة خاصة انا قصدها بعينها
+
+78
+00:08:10,640 --> 00:08:15,980
+لهدف احنا بدنا ياسا نعرفه خلال هذه المحاضرة ان شاء
+
+79
+00:08:15,980 --> 00:08:19,940
+الله بداخل حالة خاصة من ال function هي ال function
+
+80
+00:08:19,940 --> 00:08:23,560
+اللي بنسميها one to one تعالي يا ابني انت موجود
+
+81
+00:08:23,560 --> 00:08:29,380
+فهو واضح هنا تعالي واضح هنا في حاجة عنه كرسي فاضي
+
+82
+00:08:29,380 --> 00:08:33,740
+تاني؟ تعالي واضح تاني
+
+83
+00:08:39,240 --> 00:08:43,920
+يبقى الأن بدأ نجي لحالة خاصة من ال function اللى
+
+84
+00:08:43,920 --> 00:08:49,320
+بدى سميها ال one to one function ده لو أخد لواحد
+
+85
+00:08:49,320 --> 00:08:54,980
+نكتب التعريف نحاول نستوعبه تماما و بعدين نشوف ليش
+
+86
+00:08:54,980 --> 00:09:00,300
+أخدنا هذه الحالة الخاصة دون غيرها يبقى definition
+
+87
+00:09:00,300 --> 00:09:04,280
+a function f
+
+88
+00:09:15,830 --> 00:09:23,570
+بنسميها one through one if no two different
+
+89
+00:09:32,300 --> 00:09:41,200
+إذا لم يكن هناك اشياء مختلفة او
+
+90
+00:09:41,200 --> 00:09:44,260
+او
+
+91
+00:09:44,260 --> 00:09:45,780
+او او او او او او او او او او او او او او او او او
+
+92
+00:09:45,780 --> 00:09:47,280
+او او او او او او او او او او او او او او او او او
+
+93
+00:09:47,280 --> 00:09:48,720
+او او او او او او او او او او او او او او او او او
+
+94
+00:09:48,720 --> 00:09:54,140
+او او او او او او او او او او او او او او او
+
+95
+00:09:54,140 --> 00:09:54,660
+او او او او او او او او او او او او او او او او او
+
+96
+00:09:54,660 --> 00:09:58,560
+او
+
+97
+00:09:58,560 --> 00:10:00,200
+او ا
+
+98
+00:10:03,810 --> 00:10:06,570
+بنعبر على هذا الكلام بصيغة رياضية
+
+99
+00:10:27,380 --> 00:10:36,960
+والـ x1 و الـ x2 موجودات في الـ set D equivalently
+
+100
+00:10:36,960 --> 00:10:45,200
+التعريف
+
+101
+00:10:45,200 --> 00:10:54,740
+المكافئ لهذا التعريف F او دلة F من ال set D إلى ال
+
+102
+00:10:54,740 --> 00:11:06,290
+set Ris one to one if ال f of x واحد بدها تساوي ال
+
+103
+00:11:06,290 --> 00:11:13,930
+f of x اتنين then ال x واحد بدها تساوي ال x اتنين
+
+104
+00:11:13,930 --> 00:11:22,170
+و ال x واحد و ال x اتنين موجودات في ال set D برضه
+
+105
+00:11:22,170 --> 00:11:26,030
+هذا له معنى هندسي graphically
+
+106
+00:11:30,100 --> 00:11:38,600
+من الناحية الهندسية هذا شو معناه a function if is
+
+107
+00:11:38,600 --> 00:11:46,960
+one to one if and only if no
+
+108
+00:11:46,960 --> 00:11:57,340
+horizontal line no horizontal line intersects
+
+109
+00:12:03,930 --> 00:12:17,010
+its graph الرسم البياني more than once
+
+110
+00:12:22,820 --> 00:12:29,860
+نقرأ كل ما كتبناه من جديد ونحاول أن نفهم كل نقطة
+
+111
+00:12:29,860 --> 00:12:32,880
+موجودة قدامنا على اللغة.
+
+112
+00:12:38,970 --> 00:12:46,310
+بناخد الـ one to one function اذا لم
+
+113
+00:12:46,310 --> 00:12:55,210
+يكن هناك اشياء مختلفة من D لديها نفس الصورة في R
+
+114
+00:12:59,920 --> 00:13:06,200
+ألا يمكن أن أجد صورة عمالة تبقى متساومة، ليس لها
+
+115
+00:13:06,200 --> 00:13:11,720
+نفس الصورة يعني بالبلد هيك العماصر المختلفة لها
+
+116
+00:13:11,720 --> 00:13:17,120
+صور مختلفة تمام هذا الكلام النظري بناروح نصير هذا
+
+117
+00:13:17,120 --> 00:13:21,500
+الكلام بصيرة رياضية فروحنا وقلنا that is
+
+118
+00:13:26,450 --> 00:13:32,350
+يعني أنصار مختلفة then f of x واحد لا يمكن أن تكون
+
+119
+00:13:32,350 --> 00:13:37,590
+f of x اتنين يعني الصوتين تبعاتهم غير متسامتين اما
+
+120
+00:13:37,590 --> 00:13:38,990
+then x واحد x اتنين
+
+121
+00:13:44,380 --> 00:13:48,440
+هذا سيلة رياضية للتريف اللي احنا قلناه، فيه سيلة
+
+122
+00:13:48,440 --> 00:13:52,560
+اخرى، ايش السيلة اخرى؟ فيها المليارات حاجة اسمها
+
+123
+00:13:52,560 --> 00:13:57,220
+ال negation، ال negation المفي، انا عندي بطولة،
+
+124
+00:13:57,220 --> 00:14:03,020
+بدأت اعطيني مطلوبالشغل المكافئة لها نفي المطلوب
+
+125
+00:14:03,020 --> 00:14:07,240
+داخل نفي مين المعطيات وقعد ندرسها في موضوع ال
+
+126
+00:14:07,240 --> 00:14:12,440
+logic المنطق الرياضي تمام؟ طب إيش هنا ال negation
+
+127
+00:14:12,440 --> 00:14:17,610
+للعبارة اللي بدها تنفي؟مافي هذه يعني ايش؟
+
+128
+00:14:17,610 --> 00:14:22,330
+بالمساواة يبدأ يجيبي الكوبلن ب F مانديلا is one to
+
+129
+00:14:22,330 --> 00:14:29,050
+one F لفظ X1 يبدأ يصير F of X2 يبدأ يعطوني مافي
+
+130
+00:14:29,050 --> 00:14:35,970
+هذه يتجرن X1 يساوي X2إن الطريقة الأخرى أو التعريف
+
+131
+00:14:35,970 --> 00:14:39,670
+الأخر لل one to one function إن ما يحصل إن
+
+132
+00:14:39,670 --> 00:14:44,830
+الصورتين متساويتين للدالة لأنصرين من ال domain
+
+133
+00:14:44,830 --> 00:14:50,630
+تبعها إن حصلت إن الصورتين متساويتين يجب أن يكون
+
+134
+00:14:50,630 --> 00:14:53,470
+الأصل متساوي
+
+135
+00:14:54,520 --> 00:14:59,080
+يوجد حاجة اسمها ناحية هندسية أو ناحية رسم جراف
+
+136
+00:14:59,080 --> 00:15:02,540
+الورسم البياني يبقى graphically من الناحية
+
+137
+00:15:02,540 --> 00:15:07,620
+البيانية أو من ناحية الرسم الهندسي اللي بنرسمه a
+
+138
+00:15:07,620 --> 00:15:11,540
+function f is one-to-one if and only if no
+
+139
+00:15:11,540 --> 00:15:15,840
+horizontal line intersects its graph more than
+
+140
+00:15:15,840 --> 00:15:22,780
+once يعني أكثر من مرة وعلى كيف يعني؟لو رسمت منحلة
+
+141
+00:15:22,780 --> 00:15:28,080
+دولة اللي عندك و جبت اي horizontal line رسمته
+
+142
+00:15:28,080 --> 00:15:33,560
+انقطع المنحلة في اكثر من نقطة اذا الدولة هذه التي
+
+143
+00:15:33,560 --> 00:15:38,600
+يمثلها هذا المنحلة ليست one to one لكن اذا قطعها
+
+144
+00:15:38,600 --> 00:15:43,380
+في نقطة واحدة فقط بقول المنحلة هذا او الدولة هذه
+
+145
+00:15:43,380 --> 00:15:48,740
+one to one يبقى هذا بيسميه horizontal line
+
+146
+00:15:53,010 --> 00:15:58,250
+يعني انت عندك رسمة بدي اعرف هل هذه الرسمة تمثل one
+
+147
+00:15:58,250 --> 00:16:01,930
+to one function ولا لا بقول بجيبها الوسطى و ببرسه
+
+148
+00:16:01,930 --> 00:16:07,130
+موازية محو اكس والله اذا قطع المنحنة طبعا مش خطبة
+
+149
+00:16:07,130 --> 00:16:12,490
+يعني اي خط افقي موازية محو اكس اعلى ال X ولا اسفل
+
+150
+00:16:12,490 --> 00:16:17,330
+ال X ان قطع المنحنة فقط في نقطة واحدة يعني اي خط
+
+151
+00:16:17,330 --> 00:16:20,960
+رسمةإذا لم يقطع المنحنة إلا في نقطة واحدة، فهذه
+
+152
+00:16:20,960 --> 00:16:25,860
+المنحنة يمثل one to one function. إذا قطع في نقطة
+
+153
+00:16:25,860 --> 00:16:26,720
+يعني.
+
+154
+00:16:32,500 --> 00:16:37,180
+هذا السبب يجب أن نقول إن أنا لو عندي منحلجات
+
+155
+00:16:37,180 --> 00:16:42,260
+horizontal قطعة في نقطة، إذا لو أخذت أي نقطة تين
+
+156
+00:16:42,260 --> 00:16:46,600
+مختلفتين على محور السينات، فانا هتشيخ صورتين
+
+157
+00:16:46,600 --> 00:16:50,630
+منحلجات متن تين مختلفتين وانا واحد زي التانيةمصبوح
+
+158
+00:16:50,630 --> 00:16:54,010
+او لا؟ لماذا؟ لأن النقطة الوحيدة ليست في نقطة
+
+159
+00:16:54,010 --> 00:16:58,590
+واحدة وليس أكتر. اذا لماذا يمكن لنقطتين مختلفتين
+
+160
+00:16:58,590 --> 00:17:03,310
+ان تطلع من نفس الصورة بتالي أدمين وانترن؟ مثل ايش
+
+161
+00:17:03,310 --> 00:17:08,810
+مثلا؟ الأوجياء تقول لك ملحنة Y تساوي X تكيد مرة
+
+162
+00:17:08,810 --> 00:17:12,450
+علانة كتير في كل قلصية، مصبوح؟ يعني الأوجياء تقول
+
+163
+00:17:12,450 --> 00:17:14,230
+لك هنا for example
+
+164
+00:17:19,120 --> 00:17:27,680
+functions اللي هو y تساوي x تقريب مثلا and دالة
+
+165
+00:17:27,680 --> 00:17:36,440
+تانية y تساوي الجدرى التربية اللي x are one to one
+
+166
+00:17:36,440 --> 00:17:47,360
+but ولكن the function y تساوي x تربية is not one
+
+167
+00:17:47,360 --> 00:17:58,310
+to oneبشوف السبب بقوله because of the horizontal
+
+168
+00:17:58,310 --> 00:18:08,710
+line test اللي هو اختبار الخطأ و كيف كانت تانيةلو
+
+169
+00:18:08,710 --> 00:18:15,350
+جيت قلت للمحارب هذا محور X و هذا محور Y و روحنا و
+
+170
+00:18:15,350 --> 00:18:20,910
+رسمنا منحنى الدالة اللى هو Y تساوي X تكايب زى ما
+
+171
+00:18:20,910 --> 00:18:24,970
+كنا بنرسمها في كام كراس آية يبقى المنحنى بيجي
+
+172
+00:18:24,970 --> 00:18:30,170
+بالشكل اللى عندك هذا ياك تمام و بيجي نازل بهذا
+
+173
+00:18:30,170 --> 00:18:36,420
+الشكل يبقى هذا Y تساوي X تكايباللي ورا شايفين
+
+174
+00:18:36,420 --> 00:18:41,260
+اللون هذا، اولا تخليه خط أسود. الأخضر هذا واضح للي
+
+175
+00:18:41,260 --> 00:18:46,480
+وراه؟ ماشي الحالة. يبقى هذه Y تساوي X تقيمة. لو
+
+176
+00:18:46,480 --> 00:18:53,220
+جيت أرسمت أي horizontal line، لو جيت رسمت أي
+
+177
+00:18:53,220 --> 00:18:58,320
+horizontal line، يبقى ال horizontal line كان
+
+178
+00:18:58,320 --> 00:18:59,640
+بالشكل هذا هيك.
+
+179
+00:19:03,840 --> 00:19:11,840
+لا يمكن ان
+
+180
+00:19:11,840 --> 00:19:16,160
+يقطع هذا المنخلة في نقطة او نقطة او نقطة او نقطة
+
+181
+00:19:16,160 --> 00:19:16,680
+او نقطة او نقطة او نقطة او نقطة او نقطة او نقطة او
+
+182
+00:19:16,680 --> 00:19:16,820
+نقطة او نقطة او نقطة او نقطة او نقطة او نقطة او
+
+183
+00:19:16,820 --> 00:19:19,200
+نقطة او نقطة او نقطة او نقطة او نقطة او نقطة او
+
+184
+00:19:19,200 --> 00:19:31,380
+نقطة او نقطة او نهذا محور X وهذا محور Y وهذا
+
+185
+00:19:31,380 --> 00:19:41,880
+المنحنة Y تساوي ال square root لل X لو جيك رسمت أي
+
+186
+00:19:41,880 --> 00:19:45,360
+خط أفق بهذا الشكل هيقطع المنحنة
+
+187
+00:19:49,160 --> 00:19:54,420
+إذا أبني الـ two functions اللي هم دارعان one to
+
+188
+00:19:54,420 --> 00:20:02,080
+one functions one to one functions قلت لو جيتنا
+
+189
+00:20:02,080 --> 00:20:07,360
+الدالة Y تساوي X تربية يوجه هذا الملحانة الدالة
+
+190
+00:20:07,360 --> 00:20:13,800
+هذا محور X هذا محور Y هي نقطة الأصل لـ zero جينما
+
+191
+00:20:13,800 --> 00:20:17,880
+سمنا الملحانة Y تساوي X تربية
+
+192
+00:20:26,840 --> 00:20:35,300
+Y تساوي X تربية. ارسم اي خط افق يهيك. يجب ان اقطع
+
+193
+00:20:35,300 --> 00:20:40,540
+المنحنة في النقطة التانية. وهنا النقطة التانية.
+
+194
+00:20:40,600 --> 00:20:45,240
+هذه بدي اسميها X واحد وهذه بدي اسميها X اتنين.
+
+195
+00:20:45,680 --> 00:20:48,280
+البعد المنقط هذا هو
+
+196
+00:20:51,140 --> 00:20:57,040
+البعد الملقق التووي هو f of x اتنين شو له علاقة
+
+197
+00:20:57,040 --> 00:21:01,280
+بين f of x واحد وf of x اتنين؟ طريقه اللي هو
+
+198
+00:21:01,280 --> 00:21:06,240
+البعدين ما بين خطين متوازين البعد بين خطين متوازين
+
+199
+00:21:06,240 --> 00:21:11,540
+اللي هو يساوي مقدارا ثابتا اللي هو تفيره مهما رسم
+
+200
+00:21:11,540 --> 00:21:20,100
+اي خط يصل بين هذين الخطين طيب انا الان هذي النقone
+
+201
+00:21:20,100 --> 00:21:26,640
+to one الصدر بكواز ان القوق بكواز
+
+202
+00:21:38,300 --> 00:21:44,120
+عنصرين مختلفين لكن الصور كانت متساوية
+
+203
+00:21:50,950 --> 00:21:56,750
+بصير الجهاز مدهش وعبارة حط لي X بسالب اتنين يبقى
+
+204
+00:21:56,750 --> 00:22:01,510
+برضه باطني كمان اربع اذا متساوت الصورة تان لكل
+
+205
+00:22:01,510 --> 00:22:07,350
+الاصل غير متساوي اتنين وسالب اتنين ومن هنا فالدالة
+
+206
+00:22:07,350 --> 00:22:14,530
+ليست one to one طيب نرجع بالذاكرة وراي شوية لكل
+
+207
+00:22:14,530 --> 00:22:21,630
+قرص Aلو عندي ذلة زيولية على طول اي ذلة تناقصية على
+
+208
+00:22:21,630 --> 00:22:29,310
+طول ورسمت اي horizontal line؟ واحدة بس يبقى any
+
+209
+00:22:29,310 --> 00:22:33,690
+increasing function او decreasing function is one
+
+210
+00:22:33,690 --> 00:22:38,830
+to one صحيح ام لا؟ يبقى خود نكتب هذه ملاحظة remark
+
+211
+00:22:38,830 --> 00:22:43,510
+اي
+
+212
+00:22:44,750 --> 00:22:50,310
+increasing or
+
+213
+00:22:50,310 --> 00:22:55,870
+decreasing function
+
+214
+00:23:05,150 --> 00:23:13,490
+هذا محور X وهذا محور Y يبقى تزايدية يبقى تزايدية
+
+215
+00:23:13,490 --> 00:23:21,130
+تقريبا تزايدية يبقى
+
+216
+00:23:21,130 --> 00:23:24,090
+تزايدية
+
+217
+00:23:28,610 --> 00:23:39,030
+وهذه دالة تزامدية. او أي خط أفقي في نقطة واحدة فقط
+
+218
+00:23:39,030 --> 00:23:42,350
+لابدة. لأن هذه الدالة وانتهت.
+
+219
+00:23:44,990 --> 00:23:50,530
+بالشكل اللي لنا هذا هذا محور X وهذا محور Y. وكذا
+
+220
+00:23:50,530 --> 00:23:55,030
+تبدأ على سبيل المثال بالشكل اللي لنا هذا. يبقى هذا
+
+221
+00:23:55,030 --> 00:24:00,370
+اللي لنا معاها decreasing تنافسية. يبقى هذه
+
+222
+00:24:00,370 --> 00:24:01,910
+decreasing
+
+223
+00:24:05,240 --> 00:24:11,300
+function ارسم اي خط افضل طيب نقلها الى نقطة واحدة
+
+224
+00:24:11,300 --> 00:24:15,220
+وامن هنا فأي increasing function او decreasing
+
+225
+00:24:15,220 --> 00:24:22,480
+function هي عجبا عن one to one function طيب
+
+226
+00:24:22,480 --> 00:24:27,640
+نوجف حاجة بسيطة ناخد بعض الأمثلة العادلية اللي
+
+227
+00:24:27,640 --> 00:24:31,020
+بتلطف الجو هيك ملاش يكون كله كلام ناسي
+
+228
+00:24:47,350 --> 00:24:57,910
+زائد اتنين and الـ g of x اللي يتساوي and الـ g of
+
+229
+00:24:57,910 --> 00:25:09,990
+x يساوي x زائد واحد على x one to one سؤال
+
+230
+00:25:09,990 --> 00:25:13,270
+بيطلع نفسه وبنحاول انجازه
+
+231
+00:25:18,140 --> 00:25:22,440
+هل الدوال اللي عندنا هذه تبقى دوال one to one أم
+
+232
+00:25:22,440 --> 00:25:22,480
+لا؟
+
+233
+00:25:27,070 --> 00:25:34,750
+هل هذه الدالة واحدة واحدة او لا؟ هناك أكثر من
+
+234
+00:25:34,750 --> 00:25:39,750
+طريقة لإثبات المستدالة هل هي واحدة واحدة او لا،
+
+235
+00:25:39,750 --> 00:25:41,970
+وليس واحدة واحدة او لا، وليس واحدة واحدة او لا،
+
+236
+00:25:41,970 --> 00:25:43,970
+وليس واحدة واحدة او لا، وليس واحدة واحدة او لا،
+
+237
+00:25:43,970 --> 00:25:50,750
+وليس واحدة واحدة او لا،
+
+238
+00:26:00,480 --> 00:26:07,180
+أفترض إنه في عندي صورتين متساوياتين إذا بدأت أثبت
+
+239
+00:26:07,180 --> 00:26:11,820
+إن الأصل المتساوي بصير وانت وما قدرت يرجع ينسى
+
+240
+00:26:11,820 --> 00:26:21,040
+الموضوع يرجع بالتاجر أقول Assume أفترض إن ال F of
+
+241
+00:26:21,040 --> 00:26:27,040
+X1 تساوي ال F of X2
+
+242
+00:26:30,720 --> 00:26:35,500
+إن الصوتين متساوتين، إيش بدي أثبت؟ إن ال X واحد
+
+243
+00:26:35,500 --> 00:26:39,760
+بدي أثبت ال X اتنين، إن جدرت أثبت هذا، بصير البام
+
+244
+00:26:39,760 --> 00:26:44,320
+هاد مالها وانت واحد.فبقى بدي أسأل سؤال، أنا خدت ال
+
+245
+00:26:44,320 --> 00:26:49,240
+elements بعينيهم ولا اختياري من ما يكون يكون؟
+
+246
+00:26:49,240 --> 00:26:52,880
+ممتاز جدا، يعني يا شباب لو أنا راح أدج الباب اللي
+
+247
+00:26:52,880 --> 00:26:59,380
+هناك، و أنا بقال لقلك، علي تبديك شويةيبقى هل اختار
+
+248
+00:26:59,380 --> 00:27:03,720
+طالب بعينه علشان فلان فلان؟ طبعاً لأ، مرقعه أخذ أي
+
+249
+00:27:03,720 --> 00:27:07,260
+طالب، لكن لو زجج الجابر هاجه جانبه محمد محمود
+
+250
+00:27:07,260 --> 00:27:13,200
+عبدالهادي، مثلا، كيف؟ يبقى عقوبة، إذا موجود، اقوله
+
+251
+00:27:13,200 --> 00:27:15,600
+موجود، إذا موجود، هذا يعني هو بيقطع، إذا مش موجود،
+
+252
+00:27:15,600 --> 00:27:19,420
+اقوله مش موجودوهذا الكلام في الحالة التانية قال
+
+253
+00:27:19,420 --> 00:27:23,940
+يختار طالب بعينه. لأ طبعا هذا ما ينفعش حد ما في
+
+254
+00:27:23,940 --> 00:27:27,940
+الاتباعت. لما تاخد X واحد و X اتنين، اي انصر ينطبق
+
+255
+00:27:27,940 --> 00:27:32,280
+على اي انصر موجودة في الدماغ. اذا ما ينطبق عليهم
+
+256
+00:27:32,280 --> 00:27:35,840
+ينطبق على باقي منهم عن عناصر اخرى اللي من الخارج.
+
+257
+00:27:41,530 --> 00:27:48,370
+أنا اخترقت ان f of x1 يكون ايضا f of x2 يكون ايضا
+
+258
+00:28:11,510 --> 00:28:16,830
+طب هو بيحصل باتنين للطرفين يبقى ايش بيصير عندي؟
+
+259
+00:28:16,830 --> 00:28:22,390
+بيصير عندي x واحد زائد واحد لكل تكييب يساوي x
+
+260
+00:28:22,390 --> 00:28:29,610
+اتنين زائد واحد لكل تكييب خد الجدر التالت للطرفين
+
+261
+00:28:29,610 --> 00:28:34,970
+يبقى بيصير عندي x واحد زائد واحد يساوي x اتنين
+
+262
+00:28:34,970 --> 00:28:41,950
+زائد واحدواضيف لي سالب واحد للطرفين يبقى بصير
+
+263
+00:28:41,950 --> 00:28:50,510
+عندنا X واحد يساومين X اتنين شو تفسيرك لهذا؟ يبقى
+
+264
+00:28:50,510 --> 00:29:00,010
+هذا يعطينا ان ال F is one to one يبقى
+
+265
+00:29:00,010 --> 00:29:04,330
+مضام بلقة F one to one خلاص هذا هو المطموب تبع
+
+266
+00:29:04,330 --> 00:29:04,690
+السؤال
+
+267
+00:29:08,080 --> 00:29:19,040
+بداية للدالة التانية يبقى شباب إحدى الطرق ليثبت
+
+268
+00:29:19,040 --> 00:29:22,980
+إن الدالة one to one إنه ياخد صورتين متساويتين
+
+269
+00:29:22,980 --> 00:29:29,260
+عشوائيا ويحاول يثبت إن الأصل تبعهم ماله متساوين،
+
+270
+00:29:29,260 --> 00:29:32,040
+يقول خلاص وحلنا مشكلتنا والقبلة
+
+271
+00:29:34,270 --> 00:29:40,490
+طب ناخد طريقة أخرى لو جيت لك دلة لإن هذه الـ g of
+
+272
+00:29:40,490 --> 00:29:48,470
+x بدها تساوي x زائد واحد على x لازم تثبتها بنفس
+
+273
+00:29:48,470 --> 00:29:53,030
+الطريقة اللي فاتت لازم تغير الطريقة الآن لما أقول
+
+274
+00:29:53,030 --> 00:30:01,590
+اثبت ان هذه تساوي هذه لو جبت counter example مثال
+
+275
+00:30:05,270 --> 00:30:08,990
+بنغير الشغل هذه، مظبوط ولا لأ؟ يبقى احنا جالي نشوف
+
+276
+00:30:08,990 --> 00:30:14,670
+لهذه هل هي انت وانه ولا لأ. اذا كنت اجيب له مثال
+
+277
+00:30:14,670 --> 00:30:22,150
+انه صورتين متساوية لكن أصلهم غير متساوي، ده كنت
+
+278
+00:30:22,150 --> 00:30:27,950
+مايربيه صورة.يعني مثال ضد انها one to one بست وليس
+
+279
+00:30:27,950 --> 00:30:31,490
+بالضرورة ان انا اروحها برهن زي جامع بدمان برهن زي
+
+280
+00:30:31,490 --> 00:30:35,390
+جامع برضه مافي مشكلة تمام؟ فبقاش ال counter
+
+281
+00:30:35,390 --> 00:30:40,870
+example يعني مثال ضد هالشغل هذا نطلع فيها كويس لو
+
+282
+00:30:40,870 --> 00:30:47,970
+أخدت العنصرين اتنين ونص عنصر رقم اتنين وعنصر نص
+
+283
+00:30:47,970 --> 00:30:51,670
+وشوف قداش قيمة الدلة في كل الحالتين
+
+284
+00:30:54,040 --> 00:30:58,340
+هذا يجب أن يكون واقينا ان ال جي of اتنين يساوي
+
+285
+00:30:58,340 --> 00:31:03,200
+اتنين زائد واحد على اتنين اتنين و نص يعني كده؟
+
+286
+00:31:03,200 --> 00:31:12,400
+خمسة على اتنين and ال جي of نص يساوي نص زائد واحد
+
+287
+00:31:12,400 --> 00:31:18,250
+على نصواحد ع الاصل هو اتنين، او الاصل جا اتنين، او
+
+288
+00:31:18,250 --> 00:31:23,650
+الاصل جا خمسة على اتنين. إذا صار أنت واصلتين
+
+289
+00:31:23,650 --> 00:31:29,570
+متساوتين، كل واحدة منهم خمسة على اتنين. لكن هل
+
+290
+00:31:29,570 --> 00:31:34,030
+الاصل متساوي؟ لأ. يعني هل انا واحد وانت واحد؟ لأ.
+
+291
+00:31:44,610 --> 00:31:55,030
+الجي اغ اتنين سوى الجي اغ نص ولكن اتنين لا تسوى نص
+
+292
+00:31:55,030 --> 00:32:03,730
+يعني هذا مثال عددي يثبت ان هذه الدالة ليست one to
+
+293
+00:32:03,730 --> 00:32:11,580
+oneطب لو روحت أنا جبت مثال عددي يثبت إنها one to
+
+294
+00:32:11,580 --> 00:32:16,240
+one، بصير كلام صحيح للجميع؟ لأ، لأ، لأ، لأ، لأ،
+
+295
+00:32:16,240 --> 00:32:17,520
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+296
+00:32:17,520 --> 00:32:18,540
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+297
+00:32:18,540 --> 00:32:20,420
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+298
+00:32:20,420 --> 00:32:22,880
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+299
+00:32:22,880 --> 00:32:31,960
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ
+
+300
+00:32:36,860 --> 00:32:40,920
+بـ Increasing يبقى one to one لو طلعت Decreasing
+
+301
+00:32:40,920 --> 00:32:45,540
+على طول يبدو كمان one to one هي طريقة ثالثة وهاتلة
+
+302
+00:32:45,540 --> 00:32:51,040
+يعني يمكن إثبات ال one to one بعدد طوق أو بأكثر من
+
+303
+00:32:51,040 --> 00:32:57,800
+طريقة نجي الآن للتعريف الألوان اللي رفعناه في
+
+304
+00:32:57,800 --> 00:33:02,640
+بداية المحاضرة وهو ال inverse function يبقى بدنا
+
+305
+00:33:02,640 --> 00:33:03,640
+نجي ل definition
+
+306
+00:33:07,400 --> 00:33:14,580
+أفترض أن الـ
+
+307
+00:33:14,580 --> 00:33:23,460
+F هو عملية واحدة واحدة عملية واحدة واحدة على
+
+308
+00:33:23,460 --> 00:33:26,600
+مصدرها
+
+309
+00:33:26,600 --> 00:33:35,300
+D مع مجموعة R مع مجموعة
+
+310
+00:33:38,750 --> 00:33:45,590
+the inverse function
+
+311
+00:33:45,590 --> 00:33:56,230
+الف انفرس is defined by
+
+312
+00:33:56,230 --> 00:33:58,850
+العلفة التالية
+
+313
+00:34:26,530 --> 00:34:30,950
+يبقى the inverse function if inverse is defined by
+
+314
+00:34:30,950 --> 00:34:33,290
+بعرفها كالتالي
+
+315
+00:34:36,150 --> 00:34:45,450
+F inverse of B يكون ايضا F of A يكون ايضا F of A
+
+316
+00:34:45,450 --> 00:34:52,510
+يكون ايضا
+
+317
+00:34:52,510 --> 00:35:05,050
+F of A
+
+318
+00:35:05,140 --> 00:35:11,340
+the revenge of
+
+319
+00:35:11,340 --> 00:35:25,760
+if and the else as دي.بنروح
+
+320
+00:35:25,760 --> 00:35:34,100
+نوضح التعريف هذا.شوفوا شباب أنا عندي ست دي وست ا.
+
+321
+00:35:35,070 --> 00:35:40,730
+الـ set D لو جئت و قلت هذه هي ال set D او هذه هي
+
+322
+00:35:40,730 --> 00:35:46,850
+ال main هذه هي ال set R هي عبارة عن ال range دالة
+
+323
+00:35:46,850 --> 00:35:51,990
+F مش ال code main لأن ال code main يمكن أن عناصر
+
+324
+00:35:51,990 --> 00:35:56,250
+ما يظهروش كصورة يعني انا بدي ال range معناته كل
+
+325
+00:35:56,250 --> 00:36:01,190
+العناصر اللي في ال range هم الصور لعناصر من ال
+
+326
+00:36:01,190 --> 00:36:09,040
+domainهتجيني F من D إلى A يبقى A يبدأ بالـ F لو
+
+327
+00:36:09,040 --> 00:36:16,860
+كان عندي غنصر هنا اسمه A في D F هتأثر عليه هتدهر
+
+328
+00:36:16,860 --> 00:36:26,580
+صوته هنا F of A لأن F of A هتسميه كمان بيه يبقى
+
+329
+00:36:26,580 --> 00:36:28,880
+بيه غنصر في ال range
+
+330
+00:36:32,110 --> 00:36:41,630
+عكسية بدأت تأخذ من D الى الـRange تبع الـF ترجع
+
+331
+00:36:41,630 --> 00:36:48,750
+لها الى D تماما يجه الـF البرس سيأتي له كيك بالشكل
+
+332
+00:36:48,750 --> 00:36:55,090
+لأن هذا في اتجاه المعكس يجه هذا F البرس بشكل
+
+333
+00:36:55,090 --> 00:37:00,600
+لانانانقرأ الكلام ونشوفه على الرسم نقرأ التاريخ
+
+334
+00:37:00,600 --> 00:37:07,040
+نفترض أن الدولة F is one to one one to one يعني F
+
+335
+00:37:07,040 --> 00:37:11,920
+لما انأثرت على نعاصر الفيديو كل واحد نظرت له صورة
+
+336
+00:37:11,920 --> 00:37:16,920
+ممفاصلة مالهاش علاقة بالتانية عندي ثلاث عناصر يبدو
+
+337
+00:37:16,920 --> 00:37:20,880
+عندي ثلاث صور عندي عشر عناصر يبدو عندي عشر صور و
+
+338
+00:37:20,880 --> 00:37:28,040
+هكذا مافيش اشتراك بينهم أكتر افينلو كانت وكأن ال F
+
+339
+00:37:28,040 --> 00:37:34,880
+is one to one هو شارب لضمان وجود المعقول.هي احنا
+
+340
+00:37:34,880 --> 00:37:38,520
+ليش بنشتغل من أول محرر على ال one to one؟نشتغلش
+
+341
+00:37:38,520 --> 00:37:43,440
+عليها بلاش، لأنها لازمانة، لازمانة بعد قليل.فبعدين
+
+342
+00:37:43,440 --> 00:37:46,940
+بيقولوا ده لأ if is one to one function على الدمون
+
+343
+00:37:46,940 --> 00:37:53,160
+تبعها وكان ال range تبعها R يبقى the inverse
+
+344
+00:37:53,160 --> 00:37:58,760
+function ال F فوقها سالق واحد F فوقها سالق واحد
+
+345
+00:37:58,760 --> 00:38:05,000
+ليست F أساسي واحدفقص سالب واحد بيبقى واحد على F
+
+346
+00:38:05,000 --> 00:38:10,740
+فهذا ما يسمونه الـ Spherical مقلوب طبعا لإن ما
+
+347
+00:38:10,740 --> 00:38:14,960
+قبلناش المقلوب بدنا المعكوس فالـ F وفوقها سالب
+
+348
+00:38:14,960 --> 00:38:21,120
+واحد رمز يدل على معكوس الدلة وليس على مقلوب الدلة
+
+349
+00:38:40,480 --> 00:38:48,810
+فإذا كان f of a سوى مين سوى b فإذا كان f of aنرجع
+
+350
+00:38:48,810 --> 00:38:53,830
+مرة تانية. أنا قلت بالله اخدي one to one. يبقى
+
+351
+00:38:53,830 --> 00:38:59,510
+الأنفر الواحد هذا فتنهر له صورة اسم F of A ولا
+
+352
+00:38:59,510 --> 00:39:02,610
+واحد هيشارك فيها. زواج كاتوليكي.
+
+353
+00:39:08,220 --> 00:39:12,960
+أيه اللي هو مين؟ اللي هو بيه. واترجعه أين؟ واترجعه
+
+354
+00:39:12,960 --> 00:39:17,280
+الذي يعني كان ما حصلش حاجة. اللي عملناه بوقعناه.
+
+355
+00:39:17,380 --> 00:39:21,100
+ما رجعناه كل شيء في المكان. زي ما ييجي يخلى واحد
+
+356
+00:39:21,100 --> 00:39:25,700
+يمشي من هنا لغاية هناك. قصرت عليه ذلة نجلة من هنا
+
+357
+00:39:25,700 --> 00:39:29,100
+لغاية هناك. قدرت ذلة من هنا لغاية هناك ورجعت
+
+358
+00:39:29,100 --> 00:39:29,620
+مكانه.
+
+359
+00:39:32,720 --> 00:39:37,300
+يبقى اللي رجعتها اللي نسميها المعكوس ودك هي الاصل
+
+360
+00:39:37,300 --> 00:39:43,340
+يبحث الصورة على التمام يبقى هذا من تعريف ال one to
+
+361
+00:39:43,340 --> 00:39:47,640
+one function نجم يطلع على الرسمة وين دمين ال FN بس
+
+362
+00:39:50,710 --> 00:39:55,370
+الـ R هي الـ Range تبع الـ F و أين الـ Range تبع
+
+363
+00:39:55,370 --> 00:39:59,570
+الـ F inverse؟ ممتاز جدا، يبدأ الشخص يشوف أن هنا
+
+364
+00:39:59,570 --> 00:40:03,950
+الـ Domain تبع الـ F inverse هو R اللي هو الـ
+
+365
+00:40:03,950 --> 00:40:08,650
+Range تبع الـ F و كذلك الـ Range تبع الـ F inverse
+
+366
+00:40:08,650 --> 00:40:13,910
+هو دي اللي هو الـ Domain تبع من قبل الـ F، و بقى
+
+367
+00:40:13,910 --> 00:40:18,730
+كمان كويس يعني يا شباب، لو جيت سؤالكم سؤال بسيط
+
+368
+00:40:18,730 --> 00:40:26,130
+هذالو كانت النقطة a و b موجودة على منحنى الدالة f
+
+369
+00:40:26,130 --> 00:40:33,290
+من النقطة المناظرة لها على منحنى f inverse بيويت
+
+370
+00:40:34,570 --> 00:40:39,570
+يبقى A صورتها بيه وهذه الطريقة هيرمي لدّالة F يبقى
+
+371
+00:40:39,570 --> 00:40:44,690
+ال A و B موجود على رفم البيانة لدّالة F لكن ال B و
+
+372
+00:40:44,690 --> 00:40:48,910
+A موجودة على رفم البيانة لدّالة F inverse وهذا ما
+
+373
+00:40:48,910 --> 00:40:52,570
+سرشير إليه بعد قليل ان شاء الله تعالى
+
+374
+00:41:02,990 --> 00:41:08,550
+بنحل عليها أسئلة اكتر يبقى بداخله ياخد ال
+
+375
+00:41:08,550 --> 00:41:13,990
+properties of
+
+376
+00:41:13,990 --> 00:41:21,970
+f inverse of x الخاصية
+
+377
+00:41:21,970 --> 00:41:30,510
+الأولى f ال f inverse is the inverse
+
+378
+00:41:38,570 --> 00:41:44,530
+فانفرس لأ تساوي واحدة ال F وهذا ما أشارنا اليه قبل
+
+379
+00:41:44,530 --> 00:41:50,630
+قليل.لو كان ال F of A بدي ساوي ال B
+
+380
+00:41:57,360 --> 00:42:03,560
+أحنا في التعريف هنا قلنا ياشي F of A بدي أساول بيه
+
+381
+00:42:03,560 --> 00:42:08,980
+قلت أن أنا بدي أوصل لهذه اللي جال عليها لأن هذه
+
+382
+00:42:08,980 --> 00:42:14,100
+نتجت من هذه طيب أنا قلت له شو رأيك بدي أكثر على
+
+383
+00:42:14,100 --> 00:42:20,680
+الطرفين ب F inverse طبعا عندما جيت هنا قلت F
+
+384
+00:42:20,680 --> 00:42:23,100
+inverse لمين؟
+
+385
+00:42:26,070 --> 00:42:35,750
+بتصير الـ F inverse R V. طبعا هذا composition بين
+
+386
+00:42:35,750 --> 00:42:40,470
+الـ F و الـ F inverse. لو رجعنا لكالكلصية، هذا
+
+387
+00:42:40,470 --> 00:42:43,530
+اللي على الشمال تعريف مين؟ تعريف ال composition.
+
+388
+00:42:43,630 --> 00:42:47,890
+No functions. يعني هذا كأن مين؟ كأن
+
+389
+00:42:54,990 --> 00:42:59,510
+F inverse of A. الـ Composition من الدالة و
+
+390
+00:42:59,510 --> 00:43:03,370
+معاكسها بيعطينا ال identity function فهو مش هنقولك
+
+391
+00:43:03,370 --> 00:43:07,830
+identity لأن هذا أكبر منك شوية يبقى واحدة هتنغيط
+
+392
+00:43:07,830 --> 00:43:15,430
+تانية إذا هذا بيعطينا A تساوي F inverse of B تمام؟
+
+393
+00:43:15,430 --> 00:43:21,350
+يبقى هنا في التعريف اللي F inverse of Bما كان الـ
+
+394
+00:43:21,350 --> 00:43:25,690
+F of A يساوي الـ B وهي الـ F of A أخدناها تساوي
+
+395
+00:43:25,690 --> 00:43:30,110
+الـ B واخرناها تقفل من الـ F inverse فقلنا إن الـ
+
+396
+00:43:30,110 --> 00:43:33,990
+A بتساوي الـ F inverse of B دي بالك من كلام هذا
+
+397
+00:43:33,990 --> 00:43:37,290
+هناخد عليه مثال بعد قليل
+
+398
+00:43:49,170 --> 00:43:55,950
+هذا يجب أن يعطينا ان ال F انفرز لل F of X طبقا
+
+399
+00:43:55,950 --> 00:44:00,310
+لتعريف ال composition of functions فهذه الواحدة
+
+400
+00:44:00,310 --> 00:44:06,690
+سوف تلغي التانية جدتش جدتش بدي أقول X السؤال هو X
+
+401
+00:44:06,690 --> 00:44:11,510
+يا ترى في دمين الدلة F ولا في دمين الف انفرز
+
+402
+00:44:14,620 --> 00:44:18,040
+طلع اللي هو حاجة مكتوبة قدامك، بس طلع فيها، مش
+
+403
+00:44:18,040 --> 00:44:22,440
+تحذير يعني، في domain مين؟ لو ما كنتش في domain
+
+404
+00:44:22,440 --> 00:44:27,640
+الـF، هى بتقدر تأثر عليها الـF؟ مش ممكنية، لأن X
+
+405
+00:44:27,640 --> 00:44:32,380
+هذه اللي عندنا عنصر في domain مين؟ في domain الـX،
+
+406
+00:44:32,380 --> 00:44:38,860
+والـX هذه موجودة في domain الـF طيب، في المقابل
+
+407
+00:44:38,860 --> 00:44:40,940
+لرقم اربعة لغة F
+
+408
+00:44:46,840 --> 00:44:52,320
+بترى ان الـ composition بتكون F لل F inverse of X
+
+409
+00:44:52,320 --> 00:44:56,440
+بيبدو يساوي الـ X والـ X سبساوية موجودة دوية
+
+410
+00:44:59,460 --> 00:45:04,300
+في مستوى من؟ في مستوى الانفراد. تمام. يبقى هذه
+
+411
+00:45:04,300 --> 00:45:11,040
+موجودة في مستوى الانفراد. يبقى شايف الفرق ما بين
+
+412
+00:45:11,040 --> 00:45:16,240
+الاتنين. فنجي نقول هذه هي هذه، لأ، هذه مش هي هذه،
+
+413
+00:45:16,240 --> 00:45:19,860
+بختلفوا.يبدو أن هذا الكمبوزيشن من الـ F inverse
+
+414
+00:45:19,860 --> 00:45:24,180
+والـ F وهذا الكمبوزيشن من الـ F والـ I ولو راجعنا
+
+415
+00:45:24,180 --> 00:45:29,420
+بالذاكرة إلى الوراق لـ Calculus A بجينا نقول الـ F
+
+416
+00:45:29,420 --> 00:45:35,120
+composition G ليس بالضرورة للثانوية جي كمبوزيشن F
+
+417
+00:45:35,120 --> 00:45:40,220
+صحيح ولا لأ؟ وهذا يعني أنه اكسد في دومين الـ F لكن
+
+418
+00:45:40,220 --> 00:45:44,780
+اكسد في دومين الـ F inverse ورنج الـ Fمش الـ
+
+419
+00:45:44,780 --> 00:45:48,600
+domain تبع الـ يبقى فرق شاسع ما بين الأتنين. طبعا
+
+420
+00:45:48,600 --> 00:45:55,460
+ال .. نجل النقطة الخامسة والأخيرة من الخواص اللي
+
+421
+00:45:55,460 --> 00:46:03,200
+بنشير إليها. متى يمكن ان كل الدنيا معاكوس؟ يعني مش
+
+422
+00:46:03,200 --> 00:46:08,400
+كل دنيا لها معاكوس. صح ولا؟ احنا قبل شوية أخدنا
+
+423
+00:46:08,400 --> 00:46:12,660
+حلقة خاصة من يدنيا اللي هي one to one. ال one to
+
+424
+00:46:12,660 --> 00:46:12,800
+one
+
+425
+00:46:16,020 --> 00:46:20,800
+فإذا بقدر أرجع كل واحد لأصله، لكن لو أنصرهم
+
+426
+00:46:20,800 --> 00:46:26,620
+اشتركوا في نفس الصورة، لما بدي أرجعه؟ أوجهه لين؟
+
+427
+00:46:26,620 --> 00:46:32,160
+الله يعلم، بيبطل الصير الـ F inverse exists يبقى
+
+428
+00:46:32,160 --> 00:46:37,220
+الشرق الأساسي لوجود الـ F المصحوقة تكون الدالة one
+
+429
+00:46:37,220 --> 00:46:37,800
+to one
+
+430
+00:46:44,120 --> 00:46:53,140
+يبقى نقطة خامسة ال F has an inverse لها مراكز F
+
+431
+00:46:53,140 --> 00:47:04,360
+inverse if and only if ال F is one to one يبقى
+
+432
+00:47:04,360 --> 00:47:08,660
+من الآن فصاعدا لو جالي السؤال و جالي شوف
+
+433
+00:47:15,280 --> 00:47:19,200
+والله إذا طلعت الدالة one to one يبقى المعكوس
+
+434
+00:47:19,200 --> 00:47:23,760
+موجود مرة طلعت one to one يبقى المعكوس غير موجود
+
+435
+00:47:23,760 --> 00:47:29,040
+وكفى الله المؤمنين القتال.طب بعد ذلك بناخد بعض
+
+436
+00:47:29,040 --> 00:47:32,860
+الأمثلة التوضيحية عليها الخواص اللي بنحكي عنها
+
+437
+00:47:32,860 --> 00:47:33,240
+الآن.
+
+438
+00:47:59,020 --> 00:48:10,340
+بقول لك ال F of X يسار تماما X تقريب زائد تلاتة
+
+439
+00:48:10,340 --> 00:48:16,640
+شهرات ضيّلي M شهرات
+
+440
+00:49:00,400 --> 00:49:06,800
+تلاتة وطلع مطلوبين.المطلوب الأول اخبطني ان هذا
+
+441
+00:49:06,800 --> 00:49:08,360
+المعكوس موجود
+
+442
+00:49:10,610 --> 00:49:14,770
+أثبت لي أن هذا المعكوس يكون على مين؟ على الشكل
+
+443
+00:49:14,770 --> 00:49:18,350
+اللي عندنا هنا خلينا مع المطموق الأول بعد ذلك نروح
+
+444
+00:49:18,350 --> 00:49:19,350
+لمطموق الثاني
+
+445
+00:49:28,760 --> 00:49:31,780
+بنقول إذا طلعت الدالة one to one يبقى المعقوس
+
+446
+00:49:31,780 --> 00:49:36,200
+موجود وبعد ذلك بنروح ندور على قصة مين المعقوس شو
+
+447
+00:49:36,200 --> 00:49:40,700
+شكله هذا يبقى أنا هنا بدي أثبت أن هذا يبقى بدي
+
+448
+00:49:40,700 --> 00:49:45,840
+أثبت أن هذه مالها one to one بسيطة جدا كله يثبتها
+
+449
+00:49:45,840 --> 00:49:50,820
+one to one زي ما أثبتنا قبل شويه ممكن ناخد صورة
+
+450
+00:50:25,430 --> 00:50:32,150
+لو أضفنا سالب تلاتة للطرفين بصير تمانية اكس اكس
+
+451
+00:50:32,150 --> 00:50:39,670
+واحد تكييب يسوى تمانية اكس اتنين تكييب يبقى
+
+452
+00:50:39,670 --> 00:50:45,350
+نفسنا على تمانية بصير جداش اكس واحد تكييب يسوى اكس
+
+453
+00:50:45,350 --> 00:50:55,750
+اتنين تكييبخد الجدرى التالت يبقى X1 يبقى X2 يبقى
+
+454
+00:50:55,750 --> 00:51:04,590
+هنا ف ال F is one to one هذا سيعطينا ان ال F exist
+
+455
+00:51:07,790 --> 00:51:11,410
+أجي واحد تاني قال لي انت ليش تعملت كتير هيك؟ مكان
+
+456
+00:51:11,410 --> 00:51:15,190
+في السطر واحد و خلاصنا بقولك ايه؟ قال لي ماكانش
+
+457
+00:51:15,190 --> 00:51:18,130
+تقالة دول و خلاص هذه ماهي السهلة لما درجة تلتة
+
+458
+00:51:18,130 --> 00:51:21,330
+مستقلة لما درجة تانية هي موجبة على طول. قلت والله
+
+459
+00:51:21,330 --> 00:51:25,230
+كلامك مصبوح يعني لإن انا هادر ثلاثة في ثمانية
+
+460
+00:51:25,230 --> 00:51:29,790
+اربعة وعشرين X ثابت يجي دايما أول أكبر من أول
+
+461
+00:51:29,790 --> 00:51:33,990
+تساوي Zero يبقى increasing يبقى one to oneيبقى هذا
+
+462
+00:51:33,990 --> 00:51:39,450
+حل آخر لمين؟ لأن مثلا يبقى هنا لو جينا وقلنا
+
+463
+00:51:39,450 --> 00:51:44,090
+another solution، حل آخر.
+
+464
+00:51:56,710 --> 00:52:01,870
+بالإكس بالاستثناء هذا بدي يعطيك ان ال F is
+
+465
+00:52:01,870 --> 00:52:13,010
+increasing هذا بدي يعطيك ان ال F is one ten يبقى
+
+466
+00:52:13,010 --> 00:52:18,370
+هذا الطريقة او الطريقة الأولى سيال اتنين are the
+
+467
+00:52:18,370 --> 00:52:23,200
+sameبالحالة اللي تشوفها في رحلك ممكن تشتغل
+
+468
+00:52:23,200 --> 00:52:27,720
+باخلاصها من النقطة الأولى من المثلة بانجلا النقطة
+
+469
+00:52:27,720 --> 00:52:33,780
+الثانية جالي بيقول لي ان ال F inverse of X سوى نصف
+
+470
+00:52:33,780 --> 00:52:38,640
+الجذري التالت ل X ناقص ثلاثة كيف بتثبت له ان هذا
+
+471
+00:52:38,640 --> 00:52:45,100
+المعقوس تبعها؟ طاولة طاولة كيف يعني؟ بقول اه انت
+
+472
+00:52:45,100 --> 00:52:49,840
+كتبت خواص تنتينلو عملت ال composition من اليمين و
+
+473
+00:52:49,840 --> 00:52:55,220
+من الشمال سيظهر نفس المتغير الذي هو X صحيح ولا لأ؟
+
+474
+00:52:55,220 --> 00:53:04,360
+يرجى بالدرجة أقوله مقبل أولى أخد F inverse لل F of
+
+475
+00:53:04,360 --> 00:53:11,940
+X ويساوي ال F inverse ليه؟ وال F of X هي تمانية
+
+476
+00:53:17,910 --> 00:53:24,690
+تعريف الـ F inverse هو نص الجذر التالت لل element
+
+477
+00:53:24,690 --> 00:53:30,330
+اللي عندك ناقص تلاتة، يبقى هذا كله يعتبر element
+
+478
+00:53:30,330 --> 00:53:35,070
+في دمية مين؟ دمية ال F inverse، يبقى بناء العلم
+
+479
+00:53:35,070 --> 00:53:42,440
+يبدأ يصير نصالجنرال التالت هو الجنرال التالت X
+
+480
+00:53:42,440 --> 00:53:47,320
+اللي في domain of inverse هذه كلها في domain of
+
+481
+00:53:47,320 --> 00:53:55,200
+inverse إذا X أجى مكانها تماما X تكيّب زائد 3 عنده
+
+482
+00:53:55,200 --> 00:54:03,430
+هنا كماش ماقص 3 الشكل اللي عندنا هذابقص تلاتة مع
+
+483
+00:54:03,430 --> 00:54:11,690
+السلامة يبقى بصير نص الجدرى التالت لتمانية X تقريب
+
+484
+00:54:11,690 --> 00:54:20,130
+يبقى نص الجدرى التالت لاتنين X اتنين مع نص الوارد
+
+485
+00:54:20,130 --> 00:54:25,470
+السهل عليها من مر جداش X بكفي؟ لأ لأ لأ لأ لأ لأ
+
+486
+00:54:25,470 --> 00:54:26,410
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+487
+00:54:26,410 --> 00:54:27,870
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+488
+00:54:27,870 --> 00:54:30,130
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+489
+00:54:39,540 --> 00:54:45,620
+بدوا يسأل ال F او ال F inverse اللي هي النص في
+
+490
+00:54:45,620 --> 00:54:52,780
+الجدرى التالية لل X ماقص تلاتة. بده يشوف هذا كده و
+
+491
+00:54:52,780 --> 00:54:58,320
+بده يتعطيه. ال F لما اتأثر على العنصر يسوي تمانية
+
+492
+00:54:58,320 --> 00:55:04,450
+في مقعب العنصر زي التلاتة. يبقى هاي تمانية.ببنى
+
+493
+00:55:04,450 --> 00:55:11,490
+الكعب العنصر هذا يبقى ياله نص الجدرى التالت لل X
+
+494
+00:55:11,490 --> 00:55:18,650
+ماقص تلاتة هذا وهيه لكل تكريم وبتروح بيه فانيه
+
+495
+00:55:18,650 --> 00:55:26,410
+قداش برا زائد تلاتةلأن هدف لما اتأثر على الانصر
+
+496
+00:55:26,410 --> 00:55:32,850
+بيكون سوى تمانية في مكعب الانصر زائد تلاتة، تمام
+
+497
+00:55:32,850 --> 00:55:37,770
+التمام، يبقى هذا الكلام بيكون سوى تمانية فيه،
+
+498
+00:55:37,770 --> 00:55:44,910
+مستكيب، يبقى دياشر، تمان، هاي تمانالتقريب مع
+
+499
+00:55:44,910 --> 00:55:51,970
+الجدرى التالت الله سهل عليه بضل قدير X مراقص ثلاثة
+
+500
+00:55:51,970 --> 00:55:57,410
+وهي التلاتة اللي برا زائد تلاتة يفجر هذا الكلام
+
+501
+00:55:57,410 --> 00:56:02,530
+بالدراسة تمانية في الكلمة الله سهل عليها بضل قدير
+
+502
+00:56:02,530 --> 00:56:10,330
+X مراقص ثلاثة وهي التلاتة اللي برا هانا أظن بطلع
+
+503
+00:56:10,330 --> 00:56:16,010
+الجرم قدير Xيبقى أخدت ال composition اليمني و الله
+
+504
+00:56:16,010 --> 00:56:20,230
+ال composition الأشمال و أصلني لنفس النتيجة، إذا
+
+505
+00:56:20,230 --> 00:56:24,810
+المعنى لكلام الدالة هذه فعلا هي عكوس الدالة
+
+506
+00:56:24,810 --> 00:56:33,230
+الأصلية، يبقى بقالي بقول نص اللي هو ال .. اللي هو
+
+507
+00:56:33,230 --> 00:56:35,070
+النص ال general
+
+508
+00:56:39,300 --> 00:56:55,900
+is the inverse function of تمانية X تكييب زائد
+
+509
+00:56:55,900 --> 00:56:58,520
+تلتة
+
+510
+00:57:06,400 --> 00:57:11,920
+اللي هي أي طريقة بتاعة ال composition لإن ما
+
+511
+00:57:11,920 --> 00:57:17,260
+عرفنكش حتى هذه اللحظة كيف بدك تنجد المعكوس، مش
+
+512
+00:57:17,260 --> 00:57:21,900
+هنطول عليك بكرة ان شاء الله في محاضرة الغد، هنقفل
+
+513
+00:57:21,900 --> 00:57:26,820
+كيف تحسب المعكوس، هنا أطاني دالة و أطاني دالة
+
+514
+00:57:26,820 --> 00:57:30,910
+تنبغي يثبت إن هذه معكوس لهذهروحنا على القواس
+
+515
+00:57:30,910 --> 00:57:34,370
+استخدامناه وطلعنا ان هو دي المعكوس لكن في محاضرة
+
+516
+00:57:34,370 --> 00:57:39,130
+غدا ان شاء الله هنعلمك كيف بدك توجد معكوس الدالة
+
+517
+00:57:39,130 --> 00:57:43,550
+من الدالة الموجودة ان شاء الله حد بقى يتصرف هنا يا
+
+518
+00:57:43,550 --> 00:57:50,910
+شباب؟ او يستخدم؟ اه دي اتصرف من ال domain orange
+
+519
+00:57:50,910 --> 00:57:51,530
+ال inverse
+
+520
+00:57:54,150 --> 00:58:00,750
+Domain of the range inverse هو ال range تبع ال F
+
+521
+00:58:00,750 --> 00:58:05,890
+كتبناه قبل شويه صحيح ولا لأ؟ و ال range تبع ال F
+
+522
+00:58:05,890 --> 00:58:09,790
+inverse هو ال domain تبع ال F
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/MKuELRILmMA_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/MKuELRILmMA_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..115f46c0f24aa7229371197d2a594569f7e19876
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/MKuELRILmMA_postprocess.srt
@@ -0,0 +1,1884 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:11,190 --> 00:00:15,430
+بسم الله الرحمن الرحيم المرة السابقة كنا بتكلم اخر
+
+3
+00:00:15,430 --> 00:00:19,450
+حاجة عن limit comparison test قولنا limit
+
+4
+00:00:19,450 --> 00:00:23,890
+comparison test هو عبارة عن ثلاث نقاط في عندي
+
+5
+00:00:23,890 --> 00:00:28,950
+series أصلية بختار series أقارن معاها ال series
+
+6
+00:00:28,950 --> 00:00:34,570
+هذه بكون معروفة بالنسبالي مسبقا هل هي converge او
+
+7
+00:00:34,570 --> 00:00:35,670
+diverge
+
+8
+00:00:38,100 --> 00:00:41,760
+السيريز اللى عندنا هدى بكون عارفين هل هى converge
+
+9
+00:00:41,760 --> 00:00:47,000
+او diverge وبالتالي بروح بجسم ال two series الحد
+
+10
+00:00:47,000 --> 00:00:50,700
+النوني في الكون الاولى على الحد النوني في التانية
+
+11
+00:00:50,700 --> 00:00:54,920
+و بروح باخد ال limit لما ال n بدها تروح ل infinity
+
+12
+00:00:55,600 --> 00:01:01,200
+بنطلع الناتج قيمة عبادية ليست Zero يبقى في هذه
+
+13
+00:01:01,200 --> 00:01:05,760
+الحالة بقول ال two series زي بعضهم إذا تبعت المقام
+
+14
+00:01:05,760 --> 00:01:09,320
+converge يبقى تبعت ال bus converge إذا تبعت المقام
+
+15
+00:01:09,320 --> 00:01:13,100
+diverge يبقى تبعت ال bus diverge إن كان الناتج
+
+16
+00:01:13,100 --> 00:01:16,940
+يساوي Zero تبعت المقام converge يبقى تبعت ال bus
+
+17
+00:01:16,940 --> 00:01:21,170
+converge إن كان المقامالنتيجة كانت تستويق
+
+18
+00:01:21,170 --> 00:01:27,550
+الانفينيتي وتبعث المقام by there وخمسة
+
+19
+00:01:27,550 --> 00:01:35,070
+امثلة وهذا هو المثال رقم ستةطيب بنروح نختار series
+
+20
+00:01:35,070 --> 00:01:40,650
+نقارن معاها ال series اللي عندنا هذه يبقى بناء
+
+21
+00:01:40,650 --> 00:01:46,050
+عليه مين بتفضل نقارن معاه ال series طبعا واحد على
+
+22
+00:01:46,050 --> 00:01:51,690
+إيش على إنت كإيمة اللي هي ال converge صح؟لو جربنا
+
+23
+00:01:51,690 --> 00:01:59,130
+واحد على ان تربية لأن هو واحد على ان تكيب convert
+
+24
+00:01:59,130 --> 00:02:04,850
+لما تقسم هذا يعني هفضلن ان الكل تربية عند infinity
+
+25
+00:02:04,850 --> 00:02:09,570
+بتطلع بجداشبإنفينتي وبالتالي بيفشل اختبار اللى
+
+26
+00:02:09,570 --> 00:02:15,170
+عندنا إذا من الخطأ جدا بمجرد النظر انك تجسم على
+
+27
+00:02:15,170 --> 00:02:21,530
+واحد على انت كيف لإن نتيجة اللى بتعطيك جداش ما لا
+
+28
+00:02:21,530 --> 00:02:27,290
+نهاية يبقى بيفشل اختبار نتيجة للاختيار الخاطئ لل
+
+29
+00:02:27,290 --> 00:02:30,670
+series اللى بنقارن معاها لكن لو روحنا قارن على
+
+30
+00:02:30,670 --> 00:02:34,190
+واحد على انت الأولة converge والتانية converge
+
+31
+00:02:34,350 --> 00:02:38,350
+وبالتالي ماعنديش إشكالية مادام الأولى ماجبتش نتيجة
+
+32
+00:02:38,350 --> 00:02:44,130
+التانية ممكن تجيب نتيجة والله أعلم يبقى احنا لو
+
+33
+00:02:44,130 --> 00:02:49,590
+جينا وقولنا هاي summationلو 1 على N تربية هذي
+
+34
+00:02:49,590 --> 00:02:58,150
+convert في series السبب because أن P يسوى 2 أكبر
+
+35
+00:02:58,150 --> 00:03:03,090
+من الواحد الصحيح يبقى بتروح أخد limit لما ال N
+
+36
+00:03:03,090 --> 00:03:11,250
+tends to infinity لإن ال N لكل تربية على N تقيم 1
+
+37
+00:03:11,250 --> 00:03:18,710
+على N تربيةيبقى limit لما ال in tends to infinity
+
+38
+00:03:18,710 --> 00:03:25,890
+لإن تربيع لإن ال in لكل تربيع على إن تكيب
+
+39
+00:03:38,380 --> 00:03:42,580
+التعويض المباشر بيجيب لك infinity على infinity
+
+40
+00:03:42,580 --> 00:03:47,300
+بيجيب نستخدم قاعدة lobital يبقى هنا بيستوي ال
+
+41
+00:03:47,300 --> 00:03:53,850
+limit لما ال N tends to infinity لان اتنينلن ال N
+
+42
+00:03:53,850 --> 00:03:59,350
+في مشتقة لن ال N اللي هي جداش واحد على انه مشتقة
+
+43
+00:03:59,350 --> 00:04:04,390
+المقام جداش بواحد يبجي أسارة المسألة اتنين هذا
+
+44
+00:04:04,390 --> 00:04:08,610
+constant برا ال limit وهي limit لما ال N tends to
+
+45
+00:04:08,610 --> 00:04:16,890
+infinity للن ال N على M هذه ال limit بجداش بجداش
+
+46
+00:04:16,890 --> 00:04:17,690
+ال limit هذه
+
+47
+00:04:21,600 --> 00:04:27,280
+أول واحدة فيهم يبقى هذا الكلام بده يساوي اتنين في
+
+48
+00:04:27,280 --> 00:04:33,020
+زيرو ويساوي زيرو الان النتيجة زيرو تبعت المقام
+
+49
+00:04:33,020 --> 00:04:37,740
+converge يبقى بناء على ال limit comparative part
+
+50
+00:04:37,740 --> 00:04:42,180
+two النقطة الثانية منه ال series مالها converge
+
+51
+00:04:42,180 --> 00:04:44,240
+فبجي بقوله bye
+
+52
+00:05:05,190 --> 00:05:07,410
+سؤال السابع
+
+53
+00:05:11,120 --> 00:05:16,960
+بيقول لي summation من n equal one to infinity
+
+54
+00:05:16,960 --> 00:05:27,240
+لواحد ناقص cosine واحد على n بنشوف
+
+55
+00:05:27,240 --> 00:05:32,660
+هل ال series هذي converge و لا diverseنقررها مع
+
+56
+00:05:32,660 --> 00:05:38,020
+مين يا شباب؟ مع واحد على ان انا موافق بس هل تجيب
+
+57
+00:05:38,020 --> 00:05:42,320
+نتيجة و لا ماتجيبش نتيجة؟ الله أعلم طب لو جينا مع
+
+58
+00:05:42,320 --> 00:05:48,160
+واحد على ان واحد على ان diverse مظبوط؟ وهنا واحد
+
+59
+00:05:48,160 --> 00:05:53,020
+ناقص كسين واحد على ان على واحد على ان لما الان بدأ
+
+60
+00:05:53,020 --> 00:05:59,260
+تروح للمال نهايةبصير كوساين صفر اللي هو بيقول باشر
+
+61
+00:05:59,260 --> 00:06:06,780
+واحد نقص واحد صفر تمام على صفر بدنا نروح نشتق يبقى
+
+62
+00:06:06,780 --> 00:06:10,680
+لما نروح نشتق بصينا عند ايه صين واحد على ان في
+
+63
+00:06:10,680 --> 00:06:15,140
+سالب واحد على ان تربيه على سالب واحد على ان تربيه
+
+64
+00:06:15,140 --> 00:06:21,880
+وصار صين واحد على ان واحد على مدى نهاية Zero صين
+
+65
+00:06:21,880 --> 00:06:27,400
+Zero ب Zero إذا فشل الإختبارتمام؟ إذا لو روحنا
+
+66
+00:06:27,400 --> 00:06:33,240
+قارننا مع واحد على ان بيفشل الاختبار، مظبوط؟ طيب،
+
+67
+00:06:33,240 --> 00:06:38,380
+لو روحنا لاختبار الحد النوني، limit لهذا المقدار
+
+68
+00:06:38,380 --> 00:06:43,840
+لما الانبط يروح للماء لنهاية، لأنه بدنا اختبار
+
+69
+00:06:43,840 --> 00:06:48,660
+آخر، مظبوط؟ يبقى لو أخدت limit هذا لما الانبط يروح
+
+70
+00:06:48,660 --> 00:06:50,480
+للماء، بيصير واحد عمال لنهاية
+
+71
+00:06:54,310 --> 00:06:58,950
+فش الاختبار الحدي النوني تكامل
+
+72
+00:07:01,920 --> 00:07:06,540
+و لسه باك تبحث الأمور التلادة طب ليش؟ غير ال
+
+73
+00:07:06,540 --> 00:07:09,820
+series سابعتك يعني هي القرآن نزل من السماء غير
+
+74
+00:07:09,820 --> 00:07:14,200
+summation 1 على M ليس بالضرورة يعني انت ممكن تختار
+
+75
+00:07:14,200 --> 00:07:20,260
+series و يكون هذا الاختيار خاطئ تضطر إلى تغيير ال
+
+76
+00:07:20,260 --> 00:07:24,400
+series اللي عندك و ليس إلى تغيير الاختبار احنا
+
+77
+00:07:24,400 --> 00:07:28,890
+روحنا غيرنا الاختبار دغري وهذا ليس بالضرورةطيب بدل
+
+78
+00:07:28,890 --> 00:07:31,430
+واحد على ان تربية لو جربت واحد على ان تربية ايش
+
+79
+00:07:31,430 --> 00:07:35,990
+بيصير يعني نجرب واحد على ان تربية يبقى هنا باجي
+
+80
+00:07:35,990 --> 00:07:41,610
+بقوله ان ال summation واحد على ان تربية يبقى هذي
+
+81
+00:07:41,610 --> 00:07:51,420
+convert P seriesبسبب ان P يساوي اتنين اكبر من
+
+82
+00:07:51,420 --> 00:07:56,860
+الواحد الصحيح اذا اذا انا اخد limit لما N تنزل
+
+83
+00:07:56,860 --> 00:08:05,040
+لإنفينيتي لمن؟ لما N تنزل لإنفينيتي لواحد ناقص
+
+84
+00:08:05,040 --> 00:08:11,340
+cosine واحد على N على واحد على N تربيع
+
+85
+00:08:14,690 --> 00:08:18,770
+التعويض المباشر بيجيب لي 0 على 0 إذا مشتقت البصد
+
+86
+00:08:18,770 --> 00:08:23,550
+على مشتقت المقام يبقى لو جينا اشتقنا البصد high
+
+87
+00:08:23,550 --> 00:08:28,910
+limit لما ال N tends to infinity تمام اللي لما
+
+88
+00:08:28,910 --> 00:08:32,390
+تفضل واحد بزيرو تفضل كساين بسالب ساين مع سالب
+
+89
+00:08:32,390 --> 00:08:38,920
+بيصير موجب ساين واحد على Nفي تفاضل الزاوية سالب
+
+90
+00:08:38,920 --> 00:08:45,800
+واحد على انت ربيع وهنا سالب اتنين على انت كيب
+
+91
+00:08:47,790 --> 00:08:53,010
+بنختصر سالب واحد على N تربيع مع سالب واحد على N
+
+92
+00:08:53,010 --> 00:08:58,810
+تربيع بيظل في المقام اتنين على N يعني صارت المسألة
+
+93
+00:08:58,810 --> 00:09:04,070
+هي ال limit لما ال N tends to infinity لل sign
+
+94
+00:09:04,070 --> 00:09:10,650
+واحد على N على اتنين على N سالب مع سالب واحد على N
+
+95
+00:09:10,650 --> 00:09:14,670
+تربيع مع واحد على N تربيع يبقى صارت المسألة بهذا
+
+96
+00:09:14,670 --> 00:09:19,780
+الشكلتعود المباشر بيجيب لقداشر Zero على Zero يبقى
+
+97
+00:09:19,780 --> 00:09:25,920
+Lobital كمان مرة يبقى هادي بدها ساوي هيفوت limit
+
+98
+00:09:25,920 --> 00:09:31,240
+لما ال in tends to infinity لمشتقة البسط بكوسين
+
+99
+00:09:31,240 --> 00:09:36,800
+واحد على in في مشتقة الزاوية بسالب واحد على in
+
+100
+00:09:36,800 --> 00:09:43,770
+تربية وسالب اتنين على in تربيةمقدار ثابت 1 على N
+
+101
+00:09:43,770 --> 00:09:48,290
+بـ-1 على N تربية المشتقة تبعتها سالب واحد على N
+
+102
+00:09:48,290 --> 00:09:53,050
+تربية مع سالب واحد على N تربية بيبقى عندي النص في
+
+103
+00:09:53,050 --> 00:09:58,630
+limit لما ال N tends to infinity لكوسين واحد على N
+
+104
+00:09:59,160 --> 00:10:05,000
+يبقى هذا الكلام يساوي نص كوصين صفر بقداش بواحد
+
+105
+00:10:05,000 --> 00:10:11,880
+يبقى الجواب يساوي نص طيب تبعت المقام هنا converge
+
+106
+00:10:11,880 --> 00:10:17,480
+والنتيجة ساوة تمام قيمة عددية يبقى التنتين هذول زي
+
+107
+00:10:17,480 --> 00:10:25,150
+بعض يبقى باجي بقوله بايthe limit comparison test
+
+108
+00:10:25,150 --> 00:10:32,030
+the series الهي ال summation ل واحد ناقص cosine
+
+109
+00:10:32,030 --> 00:10:39,090
+واحد على N converge طلعلي
+
+110
+00:10:39,090 --> 00:10:45,250
+في السؤال كويس الآن بدنا نشوف مين ال series اللي
+
+111
+00:10:45,250 --> 00:10:50,360
+حبينا نقارن معاها يلا اقترحوا عليناعشان يرفع يدك
+
+112
+00:10:50,360 --> 00:10:55,600
+ويقول لي كذا حتى نقول لك غلط يالا ايوة واحد يرفع
+
+113
+00:10:55,600 --> 00:11:02,000
+يدي يالا يحكي اتفضل يالا ايوة نشوف ولا واحد طب انت
+
+114
+00:11:02,000 --> 00:11:08,860
+بتحكي تاني ولا عشان قلت غلط ايوة اتفضل انت انت
+
+115
+00:11:08,860 --> 00:11:16,500
+اللي يقولك ليش غلطالان نجي مع 1 على N تربيع 1 على
+
+116
+00:11:16,500 --> 00:11:20,980
+N تربيع convert لما نقارن معاه تطلع N تربيع فوق و
+
+117
+00:11:20,980 --> 00:11:27,220
+N و 3 على 2 مبقال جذر ال N فلن ال N بما لنهاية
+
+118
+00:11:27,220 --> 00:11:34,510
+يبقى فاشل الاختبار يلاوأحد على نقص نص غلط يالا
+
+119
+00:11:34,510 --> 00:11:40,950
+يبقى هاي ال N نص نص بتطلع فوق بيصير لإن ال N على N
+
+120
+00:11:40,950 --> 00:11:46,210
+وواحد على نقص نص by vary و لإن ال N على N ب zero
+
+121
+00:11:46,210 --> 00:11:52,270
+يبقى فاشي يالا غلط قول واحد على نقص كده تلتين
+
+122
+00:11:52,270 --> 00:11:54,590
+اتنين على تلتين اتنين على تلتين اتنين على تلتين
+
+123
+00:11:54,590 --> 00:11:54,970
+اتنين على تلتين اتنين على تلتين اتنين على تلتين
+
+124
+00:11:54,970 --> 00:11:58,000
+اتنين على تلتين اتنين على تلتين اتنين علىطبعا يبقى
+
+125
+00:11:58,000 --> 00:12:02,660
+اتنين على تلاتة بيصير هنا اتنين على تلاتة هنا واحد
+
+126
+00:12:02,660 --> 00:12:07,480
+و نص طبعا اتنين على تلاتة تلتين بيبقى النص زي
+
+127
+00:12:07,480 --> 00:12:13,500
+التلت خمس أسداس صح ولا لأ؟ يبقى بيبقى الواحد على
+
+128
+00:12:13,500 --> 00:12:19,060
+انص خمس أسداس في المقام وعلى انتكابه بيفشل، ايش ما
+
+129
+00:12:19,060 --> 00:12:25,040
+تقول بيفشل؟ اه ساتسات لإن الان ترفيه على انتكابه
+
+130
+00:12:25,640 --> 00:12:29,360
+لأن ال interview ..يعني تبقى تقارن مع الأصليها دي؟
+
+131
+00:12:29,360 --> 00:12:34,720
+السؤال اللي جابله يعني؟ اه ليه توجع رأسك؟ يعني انت
+
+132
+00:12:34,720 --> 00:12:40,380
+لو هذه مش موجودة تقدر تقارن معاها؟ طيب احنا بيجيبك
+
+133
+00:12:40,380 --> 00:12:45,560
+واحدة تقارن معاه و يكون صحيح، بس انت لو انك دقيق
+
+134
+00:12:45,560 --> 00:12:52,520
+النظر شوية، كيف؟النص نص فشلت، و أس تلتين فشلت، و
+
+135
+00:12:52,520 --> 00:12:56,060
+إيه؟ واحد علين فشلت، و واحد علين نقش واحد و نص
+
+136
+00:12:56,060 --> 00:13:00,380
+فشلت، و واحد علين تربية فشلت، و واحد علين نص خمسة
+
+137
+00:13:00,380 --> 00:13:03,620
+علت .. طب و أنت ليش بتمشي النص واحد واحد و نص
+
+138
+00:13:03,620 --> 00:13:07,590
+اتنين لاتنين؟ طب ما تخليها واحد و ربع مثلايعني غير
+
+139
+00:13:07,590 --> 00:13:11,010
+انصاص يعني هو القرآن نزل من السنة ليس بالضرورة
+
+140
+00:13:11,010 --> 00:13:14,730
+المهم رقم بدكي أكبر من الواحدة و أقل من الواحد
+
+141
+00:13:14,730 --> 00:13:20,150
+تمام؟ اذا انا لو اتجربت واحد على إن أس واحد و ربع
+
+142
+00:13:20,150 --> 00:13:24,510
+مثلا، conversion or divation؟ طيب نشوف، انطلق
+
+143
+00:13:24,510 --> 00:13:28,650
+نتيجة صفر خلصنا، مظبوط؟ اه يعني انت سغري مش ان انا
+
+144
+00:13:28,650 --> 00:13:33,340
+اقولك ايش ما تقول غلط من البدالة نسؤالبدو تفكير
+
+145
+00:13:33,340 --> 00:13:38,440
+دقيق شوية يعني، يبقى احنا بنيجي بنقول ان summation
+
+146
+00:13:38,440 --> 00:13:45,390
+1 على N أس 1 وربع يعني جباشخمسة على اربع واحد
+
+147
+00:13:45,390 --> 00:13:52,170
+واربع يعني series convert يفجأ هذي convert P
+
+148
+00:13:52,170 --> 00:14:01,190
+series السبب because ان P تساوي خمس اربع اكبر من
+
+149
+00:14:01,190 --> 00:14:06,950
+الواحد الصحيحطيب بدأو حاخد limit لما ال N tends to
+
+150
+00:14:06,950 --> 00:14:13,130
+infinity لإن ال N N أس ثلاثة على اتنين تقسم واحد
+
+151
+00:14:13,130 --> 00:14:18,660
+على N أس خمسة على أربعةlimit لما ال N tends to
+
+152
+00:14:18,660 --> 00:14:26,280
+infinity ل N أُس خمسة على أربعة على مين في لن ال N
+
+153
+00:14:26,280 --> 00:14:32,400
+على N أُس ثلاثة على اتنين ويسوي limit لما ال N
+
+154
+00:14:32,400 --> 00:14:37,820
+tends to infinity ل لن ال N على N أُس ربع
+
+155
+00:14:41,160 --> 00:14:45,720
+خمسة على أربعة واحد وربع تلاتة على اتنين واحد ونص
+
+156
+00:14:45,720 --> 00:14:50,920
+من واحد ونص لواحدة ربع فارجية جداش ربع يبقى بصير N
+
+157
+00:14:50,920 --> 00:14:55,360
+أص ربع تعاود المباشر بيجيب لجداش Infinity على
+
+158
+00:14:55,360 --> 00:14:59,380
+Infinity بدي استخدم قاعدة Lobital يبقى ال limit
+
+159
+00:14:59,380 --> 00:15:05,680
+لما ال N تنسوا Infinity لواحد على N وهدي الربع N
+
+160
+00:15:05,680 --> 00:15:12,450
+أسالب تلاتة ربعيعني معنى هذا الكلام يساول أربعة
+
+161
+00:15:12,450 --> 00:15:17,510
+تطلع برا وهذا ال limit لما ال N tends to infinity
+
+162
+00:15:17,510 --> 00:15:23,450
+وطلع هذه فوق بصير N أس تلت تربع بالموجب وهذه بتنزل
+
+163
+00:15:23,450 --> 00:15:29,410
+N تحت بعد الحذف والاختصارات بتقول إلى limit لما ال
+
+164
+00:15:29,410 --> 00:15:37,490
+N tends to infinity لواحد على N أس ربعوحدة على
+
+165
+00:15:37,490 --> 00:15:42,770
+مالة نهاية يعني هذه بتصير أربعة في زيرو اللي هو
+
+166
+00:15:42,770 --> 00:15:47,750
+بتساوي جداش زيرو بالشكل اللي عنها طيب تبع في
+
+167
+00:15:47,750 --> 00:15:55,710
+المقام converge والنتيجة تساوي زيرو بقول له by the
+
+168
+00:15:55,710 --> 00:16:03,710
+limit comparison test the series اللي هي converge
+
+169
+00:16:04,520 --> 00:16:08,680
+على اي حال هذا السؤال يعتبر من المسائل الصعبة اللي
+
+170
+00:16:08,680 --> 00:16:14,740
+موجودة في التمرين يبقى وصلنا الى exercises عشرة
+
+171
+00:16:14,740 --> 00:16:22,380
+اربعة المسائل التالية من عند الواحد لغاية اربعة و
+
+172
+00:16:22,380 --> 00:16:24,400
+خمسين الاد
+
+173
+00:16:42,430 --> 00:16:44,010
+هذا البرنامج موجود في مدينة مصر
+
+174
+00:16:47,600 --> 00:16:52,380
+بنجي لقى ل section عشرة خمسة في عشرة خمسة هناخد
+
+175
+00:16:52,380 --> 00:16:56,160
+الاختبارين اللي بالعت علينا واحد اسمه اختبار
+
+176
+00:16:56,160 --> 00:17:01,260
+النسبة the ratio test والثاني اختبار الجذر النوني
+
+177
+00:17:01,260 --> 00:17:05,020
+مش الحد النوني الجذر النوني اللي هو ال answer هو
+
+178
+00:17:05,020 --> 00:17:14,000
+ال test يبقى عشرة خمسة اللي هو من the ratio
+
+179
+00:17:15,870 --> 00:17:26,610
+and in throat tests يبقى اختبار النسبة واختبار
+
+180
+00:17:26,610 --> 00:17:33,110
+الجذر النوني ناخد الاختبار الأول اللي هو the ratio
+
+181
+00:17:33,110 --> 00:17:39,810
+test بيقول
+
+182
+00:17:39,810 --> 00:17:44,330
+ال net summation على a n
+
+183
+00:17:47,410 --> 00:17:55,170
+بسيريز with positive terms
+
+184
+00:17:55,170 --> 00:18:00,050
+سيريز
+
+185
+00:18:00,050 --> 00:18:11,470
+with positive terms and suppose that and
+
+186
+00:18:11,470 --> 00:18:12,630
+suppose that
+
+187
+00:18:17,430 --> 00:18:26,070
+limit لما ال n tends to infinity لل a n plus one
+
+188
+00:18:26,070 --> 00:18:35,610
+على a n بده يساوي raw then نمرة واحد the series
+
+189
+00:18:35,610 --> 00:18:41,810
+summation على a n converge
+
+190
+00:19:06,430 --> 00:19:08,530
+نقطة التالتة
+
+191
+00:19:11,230 --> 00:19:17,970
+the test is inconclusive
+
+192
+00:19:17,970 --> 00:19:31,750
+او fail بيفشل افرط ساوي واحد نمرا اتنين the
+
+193
+00:19:31,750 --> 00:19:37,970
+inferred
+
+194
+00:19:37,970 --> 00:19:39,590
+test
+
+195
+00:19:45,280 --> 00:19:51,400
+انتروت تست بيقول
+
+196
+00:19:51,400 --> 00:19:57,480
+لات summation
+
+197
+00:19:57,480 --> 00:20:10,200
+على a n ب a series ب a series with
+
+198
+00:20:11,880 --> 00:20:21,380
+الـ a n greater than or equal to zero for n
+
+199
+00:20:21,380 --> 00:20:33,640
+greater than capital N and suppose that وافترض
+
+200
+00:20:33,640 --> 00:20:44,440
+انه limit الجذري النونيللحد إنني لما ال in tends
+
+201
+00:20:44,440 --> 00:20:46,980
+to infinity يساوي را
+
+202
+00:21:52,500 --> 00:22:01,700
+السؤال الأول summation من n equal one to infinity
+
+203
+00:22:02,360 --> 00:22:08,320
+للإن فاكتوريال على عشرة to the power N
+
+204
+00:22:50,790 --> 00:22:57,230
+طيب احنا حتى الان اخدنا اربعة اختبارات اللي هي
+
+205
+00:22:57,230 --> 00:23:03,910
+اختبار التكامل واختبار الحد النوني واختبار ال
+
+206
+00:23:03,910 --> 00:23:07,370
+comparison test واختبار ال limit comparison test
+
+207
+00:23:07,660 --> 00:23:13,560
+وباقى اختباران اختباران هو موضوع ال section اللى
+
+208
+00:23:13,560 --> 00:23:19,100
+تبقى عشرة خمسة الاختبار الاول اسمه the ratio test
+
+209
+00:23:19,100 --> 00:23:24,000
+اختبار النسبة والتانى اسمه ال in through test
+
+210
+00:23:24,000 --> 00:23:30,950
+اختبار الجذر النونىلما نخلص الاتنين هدول بيكون
+
+211
+00:23:30,950 --> 00:23:35,230
+خلصنا كل اختبارات الستة زيدي التلاتة series
+
+212
+00:23:35,230 --> 00:23:38,990
+المشهورة وبالتالي يمكن الحكم على أي series
+
+213
+00:23:38,990 --> 00:23:44,050
+بتقابلنا هل هي converge او diver لو نظرت
+
+214
+00:23:44,050 --> 00:23:47,970
+للاختبارين اللي هو الأول والثاني اللي هي ال ratio
+
+215
+00:23:47,970 --> 00:23:53,090
+test و ال intro test بلاحظ انه كمان هدول ل series
+
+216
+00:23:53,090 --> 00:23:58,860
+with positive terms وبالتاليأخر خمسة اختبارات كلها
+
+217
+00:23:58,860 --> 00:24:02,680
+series with positive terms ما عدا الاختبار الأول
+
+218
+00:24:02,680 --> 00:24:06,580
+اللي هو nth term test بهمناش هل ال series بالموجب
+
+219
+00:24:06,580 --> 00:24:12,400
+أو بالسالب نجي للاختبار الأول ال ratio test بقول
+
+220
+00:24:12,400 --> 00:24:16,580
+let summation على a n b هي series with positive
+
+221
+00:24:16,580 --> 00:24:23,440
+termsالحدود كلها مجمع and suppose that وافترض انه
+
+222
+00:24:23,440 --> 00:24:29,480
+limit لل a n plus one على a n يعني الحد النوني
+
+223
+00:24:29,480 --> 00:24:33,560
+زائد واحد مقصوم على مين على الحد النوني يعني الحد
+
+224
+00:24:33,560 --> 00:24:37,870
+العاشر مقصوم على الحد التاسع مثلاالحد التلاتين
+
+225
+00:24:37,870 --> 00:24:42,750
+مقسما على الحد تسعة وعشرين إلى آخرين يبقى جسمنا
+
+226
+00:24:42,750 --> 00:24:46,690
+الحد النوني زائد واحد على الحد النوني واخدنا ال
+
+227
+00:24:46,690 --> 00:24:51,310
+limit لما ال entrance to infinity سميت النتج raw
+
+228
+00:24:52,220 --> 00:24:57,740
+يبقى بالضبط روها دي قد تكون عدد و قد تكون infinity
+
+229
+00:24:57,740 --> 00:25:02,840
+ان كان عدد بنجي نطلع في هذا العدد إذا العدد هذا
+
+230
+00:25:02,840 --> 00:25:09,920
+كان أقل من واحد صحية طبعا من صفر لغاية واحد صحية
+
+231
+00:25:09,920 --> 00:25:15,000
+طبعا صفر لئم السالب مافيش ليش ان ال series with
+
+232
+00:25:15,000 --> 00:25:19,500
+positive terms الحد النوني زاد واحد موجب و الحد
+
+233
+00:25:19,500 --> 00:25:23,980
+النوني موجب يبقى فيش عندي سالبيبقى النتيجة أقل
+
+234
+00:25:23,980 --> 00:25:28,800
+حاجة بتبقى Zero فما فوق فإن كانت النتيجة من Zero
+
+235
+00:25:28,800 --> 00:25:33,620
+لغاية الواحد بس ما تسويش الواحد Zero ماعناه مشكلة
+
+236
+00:25:33,620 --> 00:25:38,060
+يبقى بقول ال series مالها converged إن كانت
+
+237
+00:25:38,060 --> 00:25:43,320
+النتيجة أكبر من الواحد الصحية أو ما لا نهاية بقول
+
+238
+00:25:43,320 --> 00:25:43,800
+ال series
+
+239
+00:25:48,660 --> 00:25:53,840
+الاختبار بيفشل if the test is inconclusive او فهل
+
+240
+00:25:53,840 --> 00:25:55,340
+اذا كانت روة تساوي واحدة
+
+241
+00:26:06,440 --> 00:26:10,320
+باخد الجدر النوني للحد النوني لما ال N بده تروح
+
+242
+00:26:10,320 --> 00:26:15,520
+للملايين و برضه بده يسوي رو، والله إذا رو كانت أقل
+
+243
+00:26:15,520 --> 00:26:18,900
+من واحد صحي بيجي ال series converge أكبر من واحد
+
+244
+00:26:18,900 --> 00:26:23,550
+صحي او infinity ال divergeتساوي واحد صحية يبقى
+
+245
+00:26:23,550 --> 00:26:28,350
+الاختبار بيفشله معاك خمسة اختبارات أخرى سابقة عليه
+
+246
+00:26:28,350 --> 00:26:33,110
+استخدام اللذي تراه مناسبا طبعا هنعطيك العديد من
+
+247
+00:26:33,110 --> 00:26:37,530
+الأمثلة بعضهم يفشل وبعضهم مش هيفشل تمام؟ وإذا فشل
+
+248
+00:26:37,530 --> 00:26:42,570
+هنشوف كيف نتغلب على مين على هذه المشكلة أنا قسمت
+
+249
+00:26:42,570 --> 00:26:47,290
+الأمثلة لقسمين القسم الأول يعني الأسئلة المباشرة
+
+250
+00:26:47,290 --> 00:26:53,360
+القسم الثاني كل سؤال فيه فنبشوية نشوف كيف نتخلص من
+
+251
+00:26:53,360 --> 00:26:57,560
+المشكلة اللى اتحققها بنا حد ايه له اي استفسار قبل
+
+252
+00:26:57,560 --> 00:27:03,400
+ندخل الى الأمثلة؟ حد بدى يسأل اي سؤال؟ طيب نجى
+
+253
+00:27:03,400 --> 00:27:07,700
+للسؤال الاول شوف لها ال series هذى converge او
+
+254
+00:27:07,700 --> 00:27:13,070
+diverse بنحب نحط فى دماغكمن حد ما تتطلع في الحد
+
+255
+00:27:13,070 --> 00:27:17,990
+انه يتلاقى ال in factorial في الشمكانية تاخد جذر
+
+256
+00:27:17,990 --> 00:27:23,650
+لكن سهل جدا تاخد ال ratio test يبقى من حد ما تشوف
+
+257
+00:27:23,650 --> 00:27:28,540
+المثل in factorial على ratio وانت مغملفى الغالب
+
+258
+00:27:28,540 --> 00:27:34,680
+يعنى 99% بتبقى نحلة المشكلة طيب اذا بروح اخد روح
+
+259
+00:27:34,680 --> 00:27:39,580
+تساوي limit لما الintensity infinity إلى الحد انه
+
+260
+00:27:39,580 --> 00:27:44,940
+يزايد واحد على الحد انه يبقى limit لما الintensity
+
+261
+00:27:44,940 --> 00:27:50,450
+infinityالحد انوني زائد واحد معناته بيدشيل كل N
+
+262
+00:27:50,450 --> 00:27:56,370
+وحق مكانها N زائد واحد يبقى بصير N زائد واحد
+
+263
+00:27:56,370 --> 00:28:03,430
+factorial على عشرة أس N زائد واحد الكلام هذا تقسيم
+
+264
+00:28:03,430 --> 00:28:09,510
+N factorial على عشرة to the power N يبقى هذا
+
+265
+00:28:09,510 --> 00:28:12,950
+الكلام بده يسوي ال limit لما ال N tends to
+
+266
+00:28:12,950 --> 00:28:17,900
+infinite الخطوة التاليةبدا فك الحد النوني زاد واحد
+
+267
+00:28:17,900 --> 00:28:23,380
+ده يتأوصل لشكل الحد النوني مشان يصير ان الاختصارات
+
+268
+00:28:23,380 --> 00:28:27,560
+نختصرها مع بعض يبقى ال N زاد واحد factorial هو N
+
+269
+00:28:27,560 --> 00:28:34,340
+زاد واحد في مين؟ في ال N factorial على عشرة مضروبة
+
+270
+00:28:34,340 --> 00:28:39,660
+في عشرة أس N القسم بحولها إلى ضربه من شجلة بصير
+
+271
+00:28:39,660 --> 00:28:46,320
+عندي عشرة أس N على N factorial ويسببن فاكتوريال مع
+
+272
+00:28:46,320 --> 00:28:52,040
+ن فاكتوريال عشرة أقص ن على عشرة أقص ن يبقى هذا
+
+273
+00:28:52,040 --> 00:28:56,720
+الكلام يساوي عشر في limit لما ال N tends to
+
+274
+00:28:56,720 --> 00:29:03,340
+infinity لل N plus one النتج كده يحطيني هذا؟
+
+275
+00:29:03,340 --> 00:29:07,540
+مالانها يبقى لما قسمت الاتنين على بعض طلع النتج
+
+276
+00:29:07,540 --> 00:29:12,120
+مالانها يبقى serious لأن هذه مالها by there يبقى
+
+277
+00:29:12,120 --> 00:29:21,730
+بروح بقوله bythe ratio test the series الهي
+
+278
+00:29:21,730 --> 00:29:28,110
+summation لل N factorial على عشرة to the power N
+
+279
+00:29:28,110 --> 00:29:29,130
+by where
+
+280
+00:29:32,140 --> 00:29:38,880
+طبعا احنا الان في الاختبار الخامس السؤال هو هل في
+
+281
+00:29:38,880 --> 00:29:44,260
+امكانية احله باختبار اخر؟ اقول نعم لو جيت على
+
+282
+00:29:44,260 --> 00:29:48,370
+اختبار الحد النوني اللي هو اول اختبارواخدت ال
+
+283
+00:29:48,370 --> 00:29:52,610
+limit لحد انني لما ال N tends to infinity هذي
+
+284
+00:29:52,610 --> 00:29:57,530
+standard من الجدول رقم ستة في الجدول مظبوط بس مش
+
+285
+00:29:57,530 --> 00:30:01,950
+مجلوبة تمام؟ مدام مجلوبة هذيك السفر إذا هذي قداش
+
+286
+00:30:01,950 --> 00:30:05,250
+اما لنهاية بال N تقريبا بس ال series is diverse
+
+287
+00:30:05,930 --> 00:30:08,970
+يبقى هاي كمان طريقة أخرى لحكم على ال series
+
+288
+00:30:08,970 --> 00:30:11,770
+Conversion أو Divergence من غير ال ratio لكن لما
+
+289
+00:30:11,770 --> 00:30:15,630
+كان موضوع من موضوع ال ratio test حبينا نحل السؤال
+
+290
+00:30:15,630 --> 00:30:19,230
+بال ratio test لكن لو بيجي الكلام بتاعنا احنا
+
+291
+00:30:19,230 --> 00:30:24,010
+بنقيدكش حل بالطريقة التي تراها مناسبة يبقى
+
+292
+00:30:24,010 --> 00:30:32,570
+summation من N equal to infinity لل N على لن ال N
+
+293
+00:30:32,570 --> 00:30:34,530
+أُس N
+
+294
+00:30:38,900 --> 00:30:44,680
+نطلع في الحد النوني إذا سهل أخذ الجذر النوني بروح
+
+295
+00:30:44,680 --> 00:30:48,500
+باستخدم اختبار الجذر النوني مش سهل بروح على مين
+
+296
+00:30:48,500 --> 00:30:54,260
+على ratio test طبعا بطلع هنا سهل أخذ الجذر النوني
+
+297
+00:30:54,260 --> 00:30:59,480
+و هنا سهل أخذ الجذر النوني تمام إذا بروح باخد
+
+298
+00:30:59,480 --> 00:31:07,620
+limit لما ال intensity للجذر النوني للحد النونيلأن
+
+299
+00:31:07,620 --> 00:31:13,740
+الـ N كلها to the power N يسوى ال limit لما ال N
+
+300
+00:31:13,740 --> 00:31:22,200
+tends to infinity لل N أس واحد على N كل هذا على لن
+
+301
+00:31:22,200 --> 00:31:32,320
+ال N هذا الكلام يسوى limit البصر جداش يا شباب من
+
+302
+00:31:32,320 --> 00:31:39,420
+الجدور رقم اتنين و limit المقامطيب قداش النتج؟ و
+
+303
+00:31:39,420 --> 00:31:45,220
+Zero ماله؟ أقل من الواحد، مظبوط؟ يبقى الأن بروح
+
+304
+00:31:45,220 --> 00:31:57,720
+بقوله By the nth road test the series الهي ال
+
+305
+00:31:57,720 --> 00:32:04,520
+summation لل N على لن ال N كله to the power n
+
+306
+00:32:04,520 --> 00:32:05,820
+convert
+
+307
+00:32:09,490 --> 00:32:13,410
+يعني انت بتتطلع في المثلة إذا المناسب ال ratio
+
+308
+00:32:13,410 --> 00:32:18,790
+test بناخد ال ratio test إذا مناسب أخذ الجذر
+
+309
+00:32:18,790 --> 00:32:26,130
+النوني بنروح ناخد اختبار الجذر النوني طيب السؤال
+
+310
+00:32:26,130 --> 00:32:31,730
+التالت بيقول ما يأتي نمرة تلاتة
+
+311
+00:32:34,490 --> 00:32:40,770
+Summation من N equal one to infinity لل N
+
+312
+00:32:40,770 --> 00:32:48,570
+factorial تلاتة على N كله to the power N مرة جيبنا
+
+313
+00:32:48,570 --> 00:32:54,770
+السؤال زي هذا في إحدى الامتحانات الجزء الأخير من
+
+314
+00:32:54,770 --> 00:32:59,190
+المثل السهل أخد الجذر النوني بس ال N factorial
+
+315
+00:32:59,190 --> 00:33:03,870
+بقدر أخده للجذر النونييبقى ال automatic على ال
+
+316
+00:33:03,870 --> 00:33:05,090
+ratio test
+
+317
+00:33:31,480 --> 00:33:38,080
+لو N factorial تلاتة to the power N على N to the
+
+318
+00:33:38,080 --> 00:33:44,780
+power N يبقى هذا الكلام بدي يساوي ال limit لما ال
+
+319
+00:33:44,780 --> 00:33:50,820
+N tends to infinity لل N زائد واحد في ال N
+
+320
+00:33:50,820 --> 00:33:56,590
+factorialيبقى فكية ال N زائد واحد factorial هذه
+
+321
+00:33:56,590 --> 00:34:04,170
+بقدر اكتبها تلاتة أس واحد في تلاتة أس N مقسومة على
+
+322
+00:34:04,170 --> 00:34:13,280
+N زائد واحد في N زائد واحد to the power Mيبقى N
+
+323
+00:34:13,280 --> 00:34:17,840
+زياد واحد أس واحد مضروب في N زياد واحد أس M
+
+324
+00:34:17,840 --> 00:34:24,280
+هيبسطنا من الحد النوني زياد واحد نجي للحد النوني
+
+325
+00:34:24,280 --> 00:34:31,620
+بصير N أس M على N factorial تلاتة to the power M
+
+326
+00:34:31,860 --> 00:34:37,100
+نختصر الاختصارات تلاتة أس ان مع تلاتة أس ان ان
+
+327
+00:34:37,100 --> 00:34:43,120
+factorial مع ان factorial ان زائد واحد مع مان مع
+
+328
+00:34:43,120 --> 00:34:49,900
+ان زائد واحد يبقى النتيجة تساوي هي التلاتة خليها
+
+329
+00:34:49,900 --> 00:34:55,600
+برا وهي limit لما ال in tends to infinity لل in to
+
+330
+00:34:55,600 --> 00:35:01,260
+the power n على n plus one to the power n أو تلاتة
+
+331
+00:35:01,260 --> 00:35:07,090
+limitيلا بدنا نحسب ال limit هذا، نشوف إيش رأيكوا
+
+332
+00:35:07,090 --> 00:35:12,330
+فيه هذه شفتوها قبل هيك ال limit هذه؟ شفناها عدة
+
+333
+00:35:12,330 --> 00:35:16,610
+مرات مش مرة واحدة، مش هيك؟ طب شافوا يا حد بيقدر
+
+334
+00:35:16,610 --> 00:35:24,690
+يقولي قداش الناتج؟ يلا شافوا قداش الناتج لهذه؟ ال
+
+335
+00:35:24,690 --> 00:35:27,430
+limit لهذا المقدار؟ قداش؟
+
+336
+00:35:29,890 --> 00:35:36,670
+تسمع واحد بس يحكي يعطيني إجابة صحيحة ولا واحد هاي
+
+337
+00:35:36,670 --> 00:35:44,470
+هذه ها تلاتة واحد على ايه مظبوط high limit لما ال
+
+338
+00:35:44,470 --> 00:35:50,330
+M tends to infinity لواحد على واحد زائد واحد على N
+
+339
+00:35:50,330 --> 00:35:56,610
+كله to the power Mجسمنا البس والمقام على مين؟ على
+
+340
+00:35:56,610 --> 00:36:00,750
+n بصير عندي واحد فوق واحد زاد واحد على n كله to
+
+341
+00:36:00,750 --> 00:36:05,710
+the power n هذا النتج بدي سوى تلاتة برا وهذا جدا
+
+342
+00:36:05,710 --> 00:36:11,190
+دواشر واحد على ايه يبقى تلاتة على ايه اكبر من
+
+343
+00:36:11,190 --> 00:36:17,740
+واحدة صحية والله اقلأكبر لإن ال E ب 2 و 7 من 10
+
+344
+00:36:17,740 --> 00:36:22,580
+يبقى هذا greater than one الآن استخدمنا من ال
+
+345
+00:36:22,580 --> 00:36:32,780
+ratio فبجي بقوله by the ratio test the series اللي
+
+346
+00:36:32,780 --> 00:36:38,520
+هي summation لل N factorial تلاتة على N to the
+
+347
+00:36:38,520 --> 00:36:47,070
+power N مالها by Vنقدر نخلها converge هذه بتغيير
+
+348
+00:36:47,070 --> 00:36:56,430
+بسيط هكذا؟ نقدر؟ اه يعني بدل مكانها ال diverge بدي
+
+349
+00:36:56,430 --> 00:37:03,330
+اخليها converge بتغيير بسيط في رأس المسألة ولا
+
+350
+00:37:03,330 --> 00:37:06,570
+اتنين و باب ده، بدي اشيل التلاتة و احط مكانها
+
+351
+00:37:06,570 --> 00:37:12,130
+اتنين بسحط اتنين، حط واحد، حط واحد و نص، بصير
+
+352
+00:37:12,130 --> 00:37:15,990
+convert بدل ما صحيح الرب يفهم، ليش؟ لأن الأخير
+
+353
+00:37:15,990 --> 00:37:20,170
+طالع عندي هنا ثلاثة على إيه، بيش ما تحط هناك،
+
+354
+00:37:20,170 --> 00:37:23,850
+بيكون رقم عليه اتنين على إيه، كسر أقل من الواحد
+
+355
+00:37:23,850 --> 00:37:28,730
+الصحيح، بيصير series ما لا، convert و ايه كده هذا
+
+356
+00:37:28,730 --> 00:37:34,060
+السؤال التالت، السؤال الراجعالسؤال الرابع بيقول ال
+
+357
+00:37:34,060 --> 00:37:39,640
+summation من n equal one to infinity لل n
+
+358
+00:37:39,640 --> 00:37:46,550
+factorial على n to the power nطبعا هذه السؤال
+
+359
+00:37:46,550 --> 00:37:50,830
+شوفناها قبل هيك بس ماحللاش ب ratio بدنا نحل بال
+
+360
+00:37:50,830 --> 00:37:57,070
+ratio اليوم يبقى بدروح اخد limit لما ال N tends to
+
+361
+00:37:57,070 --> 00:38:03,470
+infinity لل N plus one factorial مقسوما على N plus
+
+362
+00:38:03,470 --> 00:38:11,020
+one مرفوع لل N plus one تقسيم N factorialعلى N to
+
+363
+00:38:11,020 --> 00:38:15,600
+the power N يسوي ال limit لما ال N tends to
+
+364
+00:38:15,600 --> 00:38:20,440
+infinity لما ال N بدها تروح لل infinity بدها تفك
+
+365
+00:38:20,440 --> 00:38:28,880
+هذا يبقى N زائد واحد في N factorial على N زائد
+
+366
+00:38:28,880 --> 00:38:35,040
+واحد في N زائد واحد to the power N في N to the
+
+367
+00:38:35,040 --> 00:38:41,610
+power N على N factorialنختصر تروح هاي مع هاي
+
+368
+00:38:41,610 --> 00:38:47,870
+والجوس هذا مع الجوس هذا يبقى آلة المسألة إلى ال
+
+369
+00:38:47,870 --> 00:38:55,550
+limit لما ال N tends to infinity انقص
+
+370
+00:38:55,550 --> 00:39:02,850
+N و هنا N زائد واحد أس N يبقى N على N زائد واحد
+
+371
+00:39:02,850 --> 00:39:10,440
+كله to the power Nمظبوط؟ يبقى النتيجة from above
+
+372
+00:39:10,440 --> 00:39:15,140
+يسوى كده؟ واحد على ايه؟ هي في الخطوة اللي قبلها،
+
+373
+00:39:15,140 --> 00:39:20,000
+السؤال اللي قبلها واحد على أي مالها؟ اقل من الواحد
+
+374
+00:39:20,000 --> 00:39:27,400
+الصحيح استخدمنا ال ratio فبجي بقوله by the ratio
+
+375
+00:39:27,400 --> 00:39:30,520
+test the series
+
+376
+00:39:43,210 --> 00:39:51,670
+السؤال الخامس بيقول summation من n equal one to
+
+377
+00:39:51,670 --> 00:39:59,170
+infinity لواحد ناقص واحد على n كله to the power n
+
+378
+00:39:59,170 --> 00:39:59,970
+تربيع
+
+379
+00:40:03,350 --> 00:40:07,050
+من امس بحاجة اختبار النسبة او اختبار الجذر النوني
+
+380
+00:40:07,050 --> 00:40:13,950
+الجذر انه سهل اخد الجذر يبقى باجي بقوله ر تساوي
+
+381
+00:40:13,950 --> 00:40:19,490
+limit لما ال N tends to infinity للجذر النوني
+
+382
+00:40:19,490 --> 00:40:24,870
+لواحد ناقص واحد على N كله to the power N تربيع
+
+383
+00:40:24,870 --> 00:40:29,090
+يبقى هذا بده يساوي limit لما ال N tends to
+
+384
+00:40:29,090 --> 00:40:35,330
+infinity لواحد ناقص واحد على Nكله to the power n
+
+385
+00:40:35,330 --> 00:40:43,090
+اظن هذه ال standard معروفة من الجدول ايه السالب
+
+386
+00:40:43,090 --> 00:40:47,330
+واحد يعني واحد على ايه واحد على اتنين وسبعة من
+
+387
+00:40:47,330 --> 00:40:53,050
+عشرة كاسر ماله اقل من الواحد الصحيح يبقى باجي
+
+388
+00:40:53,050 --> 00:40:55,450
+بقوله by the
+
+389
+00:41:14,340 --> 00:41:23,100
+السؤال السادسبقول summation من N equal one to
+
+390
+00:41:23,100 --> 00:41:30,060
+infinity ل واحد ناقص واحد على تلاتة N كله to the
+
+391
+00:41:30,060 --> 00:41:35,660
+power N مين
+
+392
+00:41:35,660 --> 00:41:42,720
+أفضل اختبار الجدر ماشي الحال هاي رو تسوي ال limit
+
+393
+00:41:42,720 --> 00:41:49,590
+لما ال N tends to infinity للجدر النونيفشل يبقى
+
+394
+00:41:49,590 --> 00:42:00,030
+باجي بقوله هنا the ens wrote test failed او
+
+395
+00:42:00,030 --> 00:42:06,150
+inconclusive فشل طيب دبل حالك نرجع ايه للاختبارات
+
+396
+00:42:06,150 --> 00:42:12,610
+ناخدهم بالدور اختبار الحد النوني بحل الإشكالية شفه
+
+397
+00:42:12,610 --> 00:42:20,580
+ومجرد النظر اه بحلها يبقى بروح باخدlimit لما ال in
+
+398
+00:42:20,580 --> 00:42:29,800
+tends to infinity للحد النوني اقص لب طلت يعني واحد
+
+399
+00:42:29,800 --> 00:42:38,900
+على اقص طلت طيب هذا بيساوي zero في يوم من الأيام؟
+
+400
+00:42:38,900 --> 00:42:48,310
+لا يمكن ان يساوي zero يبقى بروح بقوله byeby the
+
+401
+00:42:48,310 --> 00:42:57,170
+nth term دي البارك nth term وليس nth root the nth
+
+402
+00:42:57,170 --> 00:43:04,410
+term test the series summation
+
+403
+00:43:04,410 --> 00:43:11,330
+لواحد ناقص واحد على تلاتة in كله to the power in
+
+404
+00:43:11,330 --> 00:43:18,870
+byيبقى اختبار الجذر انونى فاشل لكن اختبار الحد
+
+405
+00:43:18,870 --> 00:43:34,010
+انونى هو اللى حل الاشكالية اللى موجودة عندنا طيب
+
+406
+00:43:34,010 --> 00:43:35,150
+السؤال السابع
+
+407
+00:43:40,230 --> 00:43:48,570
+Summation من N equal one to infinity لواحد تلاتة
+
+408
+00:43:48,570 --> 00:43:58,110
+خمسة لغاية اتنين N ناقص واحد كله على اتنين اربعة
+
+409
+00:43:58,110 --> 00:44:05,790
+ستة لغاية اتنين N في تلاتة أس N زائد واحد
+
+410
+00:44:11,180 --> 00:44:17,800
+الجذر على النسبة جذر في الشمكانية يبقى على النسبة
+
+411
+00:44:17,800 --> 00:44:23,060
+دوري يبقى راه تساوي ال limit لما ال N tends to
+
+412
+00:44:23,060 --> 00:44:29,280
+infinity لواحد، تلاتة، خمسة، يبدأ يشيل ال N ويضع
+
+413
+00:44:29,280 --> 00:44:34,460
+مكانها جداش N زائد واحد يبقى لو حاطيت N زائد واحد
+
+414
+00:44:34,460 --> 00:44:40,180
+اتنين يبدأ تنضرب في N زائد واحد تصيروا اتنينبصير
+
+415
+00:44:40,180 --> 00:44:46,640
+اتنين ان زائد اتنين ونقص واحد يعني جداش اتنين ان
+
+416
+00:44:46,640 --> 00:44:52,960
+زائد واحد يبقى بيبقى ماشي لغاية اتنين ان زائد واحد
+
+417
+00:44:52,960 --> 00:45:00,520
+مقسوما على اتنين اربعة ستة وهذا بيصير جداش اتنين
+
+418
+00:45:00,520 --> 00:45:06,800
+ان زائد اتنين اتنين انزائد يتنام هنا هذا اللي بصد
+
+419
+00:45:06,800 --> 00:45:12,720
+خلاصنا منه المقام بدي يصير تلاتة أس ان زائد واحد
+
+420
+00:45:12,720 --> 00:45:20,110
+على واحد شرايك أحول لضرب وشجل بدورييبقى ايش بيصير؟
+
+421
+00:45:20,110 --> 00:45:28,470
+اتنين اربعة ستة لغاية اتنين N في تلاتة أس N زائد
+
+422
+00:45:28,470 --> 00:45:36,550
+واحد على واحد تلاتة خمسة لغاية اتنين N ناقص واحد
+
+423
+00:45:36,550 --> 00:45:40,350
+طيب
+
+424
+00:45:40,350 --> 00:45:46,980
+بدي اسأل السؤال التالي واشوف ايش رأيكوا فيهحد فيكم
+
+425
+00:45:46,980 --> 00:45:52,600
+بيقدر يجيبلي ال term اللي جابلي ال term هذا واحد
+
+426
+00:45:52,600 --> 00:45:56,280
+تلاتة خمسة وصلنا اتنين in زي انه بدي اللي جابله
+
+427
+00:45:56,280 --> 00:46:00,600
+بدي ارفع عيدك بس و احكي ايه اللي بدي احكي انا
+
+428
+00:46:00,600 --> 00:46:05,100
+باتفضل انا ناقص واحد ان ان ناقص واحد وليس اتنين in
+
+429
+00:46:05,100 --> 00:46:09,700
+لأن كل حد بيفرج عن اللي جابله مقدار اتنين اذا اللي
+
+430
+00:46:09,700 --> 00:46:14,000
+جابله هنا بدي يكون اتنين in ناقص واحد طب اللي جاب
+
+431
+00:46:14,000 --> 00:46:14,480
+ال هذا
+
+432
+00:46:24,870 --> 00:46:31,290
+طب تعالوا نختصر الجش هدول كلهم مرة واحدة مع هدول و
+
+433
+00:46:31,290 --> 00:46:37,970
+هدول هك مع السلامة مع هدوليبقى بقى قصتنا صارت
+
+434
+00:46:37,970 --> 00:46:43,770
+بسيطة يبقى هذا الكلام بده يساوي limit لما ال N
+
+435
+00:46:43,770 --> 00:46:51,330
+tends to infinity ل 2N زائد 1 على 2N زائد 2 في
+
+436
+00:46:51,330 --> 00:46:57,290
+limit لما ال N tends to infinity ل 3 أس N زائد 1 3
+
+437
+00:46:57,290 --> 00:47:04,190
+أس N زائد 1 زائد 1 ايش رأيك في ال limit هذه كلها؟
+
+438
+00:47:14,190 --> 00:47:19,650
+بقى limit اللي عندنا هذه limit tends to infinity
+
+439
+00:47:19,650 --> 00:47:23,270
+هذه بتجيب لي ملأ نهاية على ملأ ان اشتق ال bus على
+
+440
+00:47:23,270 --> 00:47:27,930
+مشتقت اتنين مقام مش هنخلص لكن بقدر اجسم كل من ال
+
+441
+00:47:27,930 --> 00:47:34,760
+bus والمقام ع تلاتة أسن زائد واحدلأكبر قيمة موجودة
+
+442
+00:47:34,760 --> 00:47:42,140
+في المقام يبقى لو جسمت عليها تبقى هنا تلت
+
+443
+00:47:42,140 --> 00:47:49,640
+وهنا تبقى واحد على تلاتة أس ان زائد واحد وهنا واحد
+
+444
+00:47:49,640 --> 00:47:54,360
+زائد واحد على تلاتة أس ان زائد واحد
+
+445
+00:47:57,050 --> 00:48:02,670
+جسمت كل من البصد والمقام على تلاتة أسئلن زائد واحد
+
+446
+00:48:02,670 --> 00:48:10,470
+النتيجة Zero و هنا Zero يبقى جديش عندي تلت على
+
+447
+00:48:10,470 --> 00:48:16,250
+واحد اللي هو جديش والتلت مانه أقل من الواحد الصحيح
+
+448
+00:48:16,250 --> 00:48:25,070
+بروح بقول هنا by the ratio test the series
+
+449
+00:48:25,070 --> 00:48:26,350
+converge
+
+450
+00:48:29,560 --> 00:48:34,620
+طيب، هذا يا واحد ماعجبوش الحل هذا، نفس السؤال،
+
+451
+00:48:34,620 --> 00:48:37,780
+بديش أعطيه حاجة جديدة، بدي أعطيك فكرة تانية، بداكش
+
+452
+00:48:37,780 --> 00:48:45,210
+بلاشهذه واحد تاني قال لي انا بدي افكر في السؤال
+
+453
+00:48:45,210 --> 00:48:50,710
+بال comparison test قلنا له كيف؟ قال لي هي الحد 1
+
+454
+00:48:50,710 --> 00:49:03,770
+3 5 2 N ناقص 1 2 4 6 2 N 3 أس N زيد 1قلت له ايوة
+
+455
+00:49:03,770 --> 00:49:12,030
+قال لي طالع ان ال comparison يبقى اقل منه جينا قال
+
+456
+00:49:12,030 --> 00:49:17,350
+لي خلي المقام زي ما هو هذا اتنين اربعة ستة وضلنا
+
+457
+00:49:17,350 --> 00:49:23,830
+ماشيين لغاية اتنين in وهنا تلاتة in زائد واحد وروح
+
+458
+00:49:23,830 --> 00:49:30,650
+كتبلي هنا اتنين اربعة ستة اتنين in صحيح؟
+
+459
+00:49:34,430 --> 00:49:39,770
+بظبط؟ المقام ثابت، الواحد كتب بدالها اتنين،
+
+460
+00:49:39,770 --> 00:49:43,330
+التلاتة كتب بدالها اربعة، الخمسة كتب بدالها ستة،
+
+461
+00:49:43,330 --> 00:49:46,710
+اتنين اناقص واحد كتب بدالها اتنين، يبقى البسط اللي
+
+462
+00:49:46,710 --> 00:49:50,450
+عندي اقل من البسط هذا، اذا هذا الكسر اقل من الكسر
+
+463
+00:49:50,450 --> 00:49:55,610
+هذا، قلنا له تمام، قاللي هدول بيختصروا مع هدوليبقى
+
+464
+00:49:55,610 --> 00:50:01,970
+الناتج كم؟ واحد على تلاتة أس N زائد واحد جالي هذا
+
+465
+00:50:01,970 --> 00:50:07,630
+كمان أقل من واحد على تلاتة أس N قلنا له مظبوط يبقى
+
+466
+00:50:07,630 --> 00:50:15,720
+هذا تلت أس N مين هي هذه؟ Geometricسيريو convert
+
+467
+00:50:15,720 --> 00:50:20,140
+يبقى هاد ال series لو واحد تعملها بتطلع convert
+
+468
+00:50:20,140 --> 00:50:24,540
+geometric series لإن ال ratio أقل تقل من الواحد
+
+469
+00:50:24,540 --> 00:50:29,300
+الصحيح بال comparison الأصلية مالها convert
+
+470
+00:50:49,520 --> 00:50:55,580
+يعني يمكن للسؤال ان يحل بعدة اختبارات
+
+471
+00:50:57,550 --> 00:51:00,350
+الاختبار المناسب مرة جاي نكمل ان شاء الله
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/MKuELRILmMA_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/MKuELRILmMA_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..b05892028e46e48a017c6316bfb6ea019a870dab
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/MKuELRILmMA_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 270, "start": 0.0, "end": 2.7, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3805338591337204, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.0040130615234375, "words": [{"start": 0.0, "end": 2.7, "word": "موسيقى", "probability": 0.733740234375}], "temperature": 1.0}, {"id": 2, "seek": 3567, "start": 11.19, "end": 35.67, "text": "بسم الله الرحمن الرحيم المرة السابقة كنا بتكلم اخر حاجة عن limit comparison test قولنا limit comparison test هو عبارة عن ثلاث نقاط في عندي series أصلية بختار series أقارن معاها ال series هذه بكون معروفة بالنسبالي مسبقا هل هي converge او diverge", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 21136, 16758, 28671, 9122, 8315, 39894, 4117, 19528, 1975, 34740, 11331, 26108, 3660, 18871, 4948, 9660, 1500, 12174, 12610, 8315, 4948, 9660, 1500, 31439, 6225, 3555, 9640, 3660, 18871, 38637, 1211, 5718, 104, 8717, 4587, 41193, 8978, 18871, 16254, 2638, 5551, 9381, 1211, 10632, 4724, 46456, 9640, 2638, 5551, 4587, 9640, 1863, 20449, 995, 11296, 2423, 2638, 29538, 4724, 30544, 20449, 32887, 5172, 3660, 20666, 1863, 35457, 6027, 1829, 3714, 35457, 4587, 995, 8032, 1211, 39896, 41881, 1975, 2407, 18558, 432], "avg_logprob": -0.25016800177994597, "compression_ratio": 1.6891891891891893, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 11.19, "end": 11.49, "word": "بسم", "probability": 0.682861328125}, {"start": 11.49, "end": 11.73, "word": " الله", "probability": 0.970703125}, {"start": 11.73, "end": 12.07, "word": " الرحمن", "probability": 0.9689127604166666}, {"start": 12.07, "end": 12.67, "word": " الرحيم", "probability": 0.9913736979166666}, {"start": 12.67, "end": 14.05, "word": " المرة", "probability": 0.675048828125}, {"start": 14.05, "end": 14.33, "word": " السابقة", "probability": 0.6826171875}, {"start": 14.33, "end": 14.59, "word": " كنا", "probability": 0.88134765625}, {"start": 14.59, "end": 15.07, "word": " بتكلم", "probability": 0.60595703125}, {"start": 15.07, "end": 15.43, "word": " اخر", "probability": 0.66552734375}, {"start": 15.43, "end": 15.81, "word": " حاجة", "probability": 0.9755859375}, {"start": 15.81, "end": 16.01, "word": " عن", "probability": 0.91015625}, {"start": 16.01, "end": 16.51, "word": " limit", "probability": 0.4716796875}, {"start": 16.51, "end": 17.49, "word": " comparison", "probability": 0.90771484375}, {"start": 17.49, "end": 18.23, "word": " test", "probability": 0.91650390625}, {"start": 18.23, "end": 19.17, "word": " قولنا", "probability": 0.6600748697916666}, {"start": 19.17, "end": 19.45, "word": " limit", "probability": 0.7255859375}, {"start": 19.45, "end": 20.09, "word": " comparison", "probability": 0.93017578125}, {"start": 20.09, "end": 20.47, "word": " test", "probability": 0.9638671875}, {"start": 20.47, "end": 20.65, "word": " هو", "probability": 0.337646484375}, {"start": 20.65, "end": 21.01, "word": " عبارة", "probability": 0.9794921875}, {"start": 21.01, "end": 21.25, "word": " عن", "probability": 0.9921875}, {"start": 21.25, "end": 21.85, "word": " ثلاث", "probability": 0.9345703125}, {"start": 21.85, "end": 22.63, "word": " نقاط", "probability": 0.9275716145833334}, {"start": 22.63, "end": 23.47, "word": " في", "probability": 0.57958984375}, {"start": 23.47, "end": 23.89, "word": " عندي", "probability": 0.8076171875}, {"start": 23.89, "end": 24.23, "word": " series", "probability": 0.85498046875}, {"start": 24.23, "end": 25.03, "word": " أصلية", "probability": 0.70770263671875}, {"start": 25.03, "end": 26.01, "word": " بختار", "probability": 0.9108072916666666}, {"start": 26.01, "end": 26.51, "word": " series", "probability": 0.89501953125}, {"start": 26.51, "end": 27.53, "word": " أقارن", "probability": 0.94189453125}, {"start": 27.53, "end": 28.43, "word": " معاها", "probability": 0.87451171875}, {"start": 28.43, "end": 28.67, "word": " ال", "probability": 0.239501953125}, {"start": 28.67, "end": 28.95, "word": " series", "probability": 0.71826171875}, {"start": 28.95, "end": 29.47, "word": " هذه", "probability": 0.42529296875}, {"start": 29.47, "end": 29.85, "word": " بكون", "probability": 0.6265869140625}, {"start": 29.85, "end": 30.33, "word": " معروفة", "probability": 0.9713134765625}, {"start": 30.33, "end": 31.27, "word": " بالنسبالي", "probability": 0.94140625}, {"start": 31.27, "end": 32.53, "word": " مسبقا", "probability": 0.9151611328125}, {"start": 32.53, "end": 32.79, "word": " هل", "probability": 0.8994140625}, {"start": 32.79, "end": 33.01, "word": " هي", "probability": 0.86865234375}, {"start": 33.01, "end": 33.83, "word": " converge", "probability": 0.83544921875}, {"start": 33.83, "end": 34.57, "word": " او", "probability": 0.850830078125}, {"start": 34.57, "end": 35.67, "word": " diverge", "probability": 0.5863037109375}], "temperature": 1.0}, {"id": 3, "seek": 5492, "start": 38.1, "end": 54.92, "text": "السيريز اللى عندنا هدى بكون عارفين هل هى converge او diverge وبالتالي بروح بجسم ال two series الحد النوني في الكون الاولى على الحد النوني في التانية و بروح باخد ال limit لما ال n بدها تروح ل infinity", "tokens": [6027, 3794, 13546, 1829, 11622, 13672, 7578, 43242, 8315, 8032, 3215, 7578, 4724, 30544, 6225, 9640, 5172, 9957, 8032, 1211, 8032, 7578, 41881, 1975, 2407, 18558, 432, 46599, 6027, 2655, 6027, 1829, 4724, 32887, 5016, 4724, 7435, 38251, 2423, 732, 2638, 21542, 3215, 28239, 11536, 1829, 8978, 2423, 30544, 42963, 12610, 7578, 15844, 21542, 3215, 28239, 11536, 1829, 8978, 16712, 7649, 10632, 4032, 4724, 32887, 5016, 4724, 47283, 3215, 2423, 4948, 5296, 15042, 2423, 297, 47525, 11296, 6055, 32887, 5016, 5296, 13202], "avg_logprob": -0.26336597031857595, "compression_ratio": 1.7405405405405405, "no_speech_prob": 0.0, "words": [{"start": 38.099999999999994, "end": 38.94, "word": "السيريز", "probability": 0.6126953125}, {"start": 38.94, "end": 39.1, "word": " اللى", "probability": 0.672119140625}, {"start": 39.1, "end": 39.46, "word": " عندنا", "probability": 0.81689453125}, {"start": 39.46, "end": 39.88, "word": " هدى", "probability": 0.5026041666666666}, {"start": 39.88, "end": 40.28, "word": " بكون", "probability": 0.46954345703125}, {"start": 40.28, "end": 40.74, "word": " عارفين", "probability": 0.9541015625}, {"start": 40.74, "end": 41.04, "word": " هل", "probability": 0.903564453125}, {"start": 41.04, "end": 41.16, "word": " هى", "probability": 0.7335205078125}, {"start": 41.16, "end": 41.76, "word": " converge", "probability": 0.74462890625}, {"start": 41.76, "end": 42.26, "word": " او", "probability": 0.89013671875}, {"start": 42.26, "end": 42.86, "word": " diverge", "probability": 0.7744140625}, {"start": 42.86, "end": 43.9, "word": " وبالتالي", "probability": 0.86171875}, {"start": 43.9, "end": 44.58, "word": " بروح", "probability": 0.97314453125}, {"start": 44.58, "end": 45.1, "word": " بجسم", "probability": 0.8556315104166666}, {"start": 45.1, "end": 45.3, "word": " ال", "probability": 0.96923828125}, {"start": 45.3, "end": 45.5, "word": " two", "probability": 0.751953125}, {"start": 45.5, "end": 46.3, "word": " series", "probability": 0.87646484375}, {"start": 46.3, "end": 47.0, "word": " الحد", "probability": 0.86865234375}, {"start": 47.0, "end": 47.4, "word": " النوني", "probability": 0.80322265625}, {"start": 47.4, "end": 47.54, "word": " في", "probability": 0.69580078125}, {"start": 47.54, "end": 47.78, "word": " الكون", "probability": 0.2900390625}, {"start": 47.78, "end": 48.46, "word": " الاولى", "probability": 0.8702799479166666}, {"start": 48.46, "end": 48.92, "word": " على", "probability": 0.73681640625}, {"start": 48.92, "end": 49.4, "word": " الحد", "probability": 0.9873046875}, {"start": 49.4, "end": 49.9, "word": " النوني", "probability": 0.9171549479166666}, {"start": 49.9, "end": 50.02, "word": " في", "probability": 0.62841796875}, {"start": 50.02, "end": 50.7, "word": " التانية", "probability": 0.9314778645833334}, {"start": 50.7, "end": 51.28, "word": " و", "probability": 0.59619140625}, {"start": 51.28, "end": 51.64, "word": " بروح", "probability": 0.8972981770833334}, {"start": 51.64, "end": 52.08, "word": " باخد", "probability": 0.9705403645833334}, {"start": 52.08, "end": 52.22, "word": " ال", "probability": 0.92236328125}, {"start": 52.22, "end": 52.5, "word": " limit", "probability": 0.96337890625}, {"start": 52.5, "end": 52.92, "word": " لما", "probability": 0.941162109375}, {"start": 52.92, "end": 53.08, "word": " ال", "probability": 0.970703125}, {"start": 53.08, "end": 53.32, "word": " n", "probability": 0.413330078125}, {"start": 53.32, "end": 53.68, "word": " بدها", "probability": 0.85595703125}, {"start": 53.68, "end": 54.22, "word": " تروح", "probability": 0.9928385416666666}, {"start": 54.22, "end": 54.42, "word": " ل", "probability": 0.86474609375}, {"start": 54.42, "end": 54.92, "word": " infinity", "probability": 0.77685546875}], "temperature": 1.0}, {"id": 4, "seek": 7936, "start": 55.6, "end": 79.36, "text": "بنطلع الناتج قيمة عبادية ليست Zero يبقى في هذه الحالة بقول ال two series زي بعضهم إذا تبعت المقام converge يبقى تبعت ال bus converge إذا تبعت المقام diverge يبقى تبعت ال bus diverge إن كان الناتج يساوي Zero تبعت المقام converge يبقى تبعت ال bus converge إن كان المقام", "tokens": [3555, 1863, 9566, 1211, 3615, 28239, 9307, 7435, 12174, 32640, 3660, 6225, 3555, 18513, 10632, 32239, 14851, 17182, 7251, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 4724, 39648, 2423, 732, 2638, 30767, 1829, 45030, 11242, 16095, 11933, 15730, 6055, 3555, 34268, 9673, 4587, 10943, 41881, 7251, 3555, 4587, 7578, 6055, 3555, 34268, 2423, 1255, 41881, 11933, 15730, 6055, 3555, 34268, 9673, 4587, 10943, 18558, 432, 7251, 3555, 4587, 7578, 6055, 3555, 34268, 2423, 1255, 18558, 432, 36145, 25961, 28239, 9307, 7435, 7251, 3794, 995, 45865, 17182, 6055, 3555, 34268, 9673, 4587, 10943, 41881, 7251, 3555, 4587, 7578, 6055, 3555, 34268, 2423, 1255, 41881, 36145, 25961, 9673, 4587, 10943], "avg_logprob": -0.14282670305533843, "compression_ratio": 2.244565217391304, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 55.6, "end": 56.1, "word": "بنطلع", "probability": 0.6217529296875}, {"start": 56.1, "end": 56.74, "word": " الناتج", "probability": 0.85986328125}, {"start": 56.74, "end": 57.5, "word": " قيمة", "probability": 0.9249674479166666}, {"start": 57.5, "end": 58.48, "word": " عبادية", "probability": 0.76806640625}, {"start": 58.48, "end": 59.4, "word": " ليست", "probability": 0.94287109375}, {"start": 59.4, "end": 59.92, "word": " Zero", "probability": 0.47265625}, {"start": 59.92, "end": 60.76, "word": " يبقى", "probability": 0.9151611328125}, {"start": 60.76, "end": 60.86, "word": " في", "probability": 0.89111328125}, {"start": 60.86, "end": 61.2, "word": " هذه", "probability": 0.923828125}, {"start": 61.2, "end": 61.66, "word": " الحالة", "probability": 0.9886067708333334}, {"start": 61.66, "end": 62.02, "word": " بقول", "probability": 0.7130126953125}, {"start": 62.02, "end": 62.18, "word": " ال", "probability": 0.6796875}, {"start": 62.18, "end": 62.36, "word": " two", "probability": 0.258056640625}, {"start": 62.36, "end": 63.06, "word": " series", "probability": 0.82275390625}, {"start": 63.06, "end": 63.66, "word": " زي", "probability": 0.94775390625}, {"start": 63.66, "end": 64.3, "word": " بعضهم", "probability": 0.9786783854166666}, {"start": 64.3, "end": 64.92, "word": " إذا", "probability": 0.8369140625}, {"start": 64.92, "end": 65.28, "word": " تبعت", "probability": 0.9523111979166666}, {"start": 65.28, "end": 65.76, "word": " المقام", "probability": 0.9832356770833334}, {"start": 65.76, "end": 66.22, "word": " converge", "probability": 0.78173828125}, {"start": 66.22, "end": 66.5, "word": " يبقى", "probability": 0.965087890625}, {"start": 66.5, "end": 66.86, "word": " تبعت", "probability": 0.9407552083333334}, {"start": 66.86, "end": 67.02, "word": " ال", "probability": 0.9267578125}, {"start": 67.02, "end": 67.2, "word": " bus", "probability": 0.93701171875}, {"start": 67.2, "end": 67.82, "word": " converge", "probability": 0.888671875}, {"start": 67.82, "end": 68.38, "word": " إذا", "probability": 0.875244140625}, {"start": 68.38, "end": 68.78, "word": " تبعت", "probability": 0.9851888020833334}, {"start": 68.78, "end": 69.32, "word": " المقام", "probability": 0.9949544270833334}, {"start": 69.32, "end": 69.92, "word": " diverge", "probability": 0.846435546875}, {"start": 69.92, "end": 70.12, "word": " يبقى", "probability": 0.9906005859375}, {"start": 70.12, "end": 70.42, "word": " تبعت", "probability": 0.9833984375}, {"start": 70.42, "end": 70.6, "word": " ال", "probability": 0.9658203125}, {"start": 70.6, "end": 70.9, "word": " bus", "probability": 0.97265625}, {"start": 70.9, "end": 71.98, "word": " diverge", "probability": 0.7841796875}, {"start": 71.98, "end": 72.36, "word": " إن", "probability": 0.716796875}, {"start": 72.36, "end": 72.66, "word": " كان", "probability": 0.98876953125}, {"start": 72.66, "end": 73.1, "word": " الناتج", "probability": 0.8640950520833334}, {"start": 73.1, "end": 73.68, "word": " يساوي", "probability": 0.8948974609375}, {"start": 73.68, "end": 74.12, "word": " Zero", "probability": 0.8623046875}, {"start": 74.12, "end": 74.74, "word": " تبعت", "probability": 0.8037109375}, {"start": 74.74, "end": 75.26, "word": " المقام", "probability": 0.9931640625}, {"start": 75.26, "end": 75.94, "word": " converge", "probability": 0.95166015625}, {"start": 75.94, "end": 76.24, "word": " يبقى", "probability": 0.9915771484375}, {"start": 76.24, "end": 76.58, "word": " تبعت", "probability": 0.98876953125}, {"start": 76.58, "end": 76.76, "word": " ال", "probability": 0.97705078125}, {"start": 76.76, "end": 76.94, "word": " bus", "probability": 0.9755859375}, {"start": 76.94, "end": 77.62, "word": " converge", "probability": 0.94091796875}, {"start": 77.62, "end": 78.22, "word": " إن", "probability": 0.791015625}, {"start": 78.22, "end": 78.46, "word": " كان", "probability": 0.98876953125}, {"start": 78.46, "end": 79.36, "word": " المقام", "probability": 0.9949544270833334}], "temperature": 1.0}, {"id": 5, "seek": 9185, "start": 79.61, "end": 91.85, "text": "النتيجة كانت تستويق الانفينيتي وتبعث المقام by there وخمسة امثلة وهذا هو المثال رقم ستة", "tokens": [6027, 1863, 31371, 7435, 3660, 25961, 2655, 6055, 14851, 2407, 1829, 4587, 2423, 7649, 5172, 9957, 1829, 31371, 34683, 3555, 3615, 12984, 9673, 4587, 10943, 538, 456, 4032, 9778, 2304, 3794, 3660, 1975, 2304, 12984, 37977, 37037, 15730, 31439, 9673, 12984, 6027, 12602, 4587, 2304, 8608, 2655, 3660], "avg_logprob": -0.46396683673469385, "compression_ratio": 1.3076923076923077, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 79.61, "end": 80.71, "word": "النتيجة", "probability": 0.7189208984375}, {"start": 80.71, "end": 80.75, "word": " كانت", "probability": 0.6024169921875}, {"start": 80.75, "end": 81.17, "word": " تستويق", "probability": 0.57998046875}, {"start": 81.17, "end": 81.71, "word": " الانفينيتي", "probability": 0.68218994140625}, {"start": 81.71, "end": 82.17, "word": " وتبعث", "probability": 0.540283203125}, {"start": 82.17, "end": 82.59, "word": " المقام", "probability": 0.939453125}, {"start": 82.59, "end": 82.79, "word": " by", "probability": 0.290283203125}, {"start": 82.79, "end": 83.21, "word": " there", "probability": 0.7568359375}, {"start": 83.21, "end": 87.55, "word": " وخمسة", "probability": 0.628076171875}, {"start": 87.55, "end": 88.05, "word": " امثلة", "probability": 0.8472900390625}, {"start": 88.05, "end": 88.53, "word": " وهذا", "probability": 0.6119384765625}, {"start": 88.53, "end": 88.73, "word": " هو", "probability": 0.72998046875}, {"start": 88.73, "end": 89.49, "word": " المثال", "probability": 0.8997395833333334}, {"start": 89.49, "end": 90.83, "word": " رقم", "probability": 0.8517252604166666}, {"start": 90.83, "end": 91.85, "word": " ستة", "probability": 0.80029296875}], "temperature": 1.0}, {"id": 6, "seek": 11045, "start": 92.69, "end": 110.45, "text": "طيب بنروح نختار series نقارن معاها ال series اللي عندنا هذه يبقى بناء عليه مين بتفضل نقارن معاه ال series طبعا واحد على إيش على إنت كإيمة اللي هي ال converge صح؟", "tokens": [9566, 1829, 3555, 44945, 32887, 5016, 8717, 46456, 9640, 2638, 8717, 4587, 9640, 1863, 20449, 995, 11296, 2423, 2638, 13672, 1829, 43242, 8315, 29538, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 3714, 9957, 39894, 5172, 11242, 1211, 8717, 4587, 9640, 1863, 20449, 40294, 2423, 2638, 23032, 3555, 3615, 995, 36764, 24401, 15844, 11933, 1829, 8592, 15844, 11933, 29399, 9122, 28814, 32640, 3660, 13672, 1829, 39896, 2423, 41881, 20328, 5016, 22807], "avg_logprob": -0.2502200679040291, "compression_ratio": 1.6257668711656441, "no_speech_prob": 0.0, "words": [{"start": 92.69, "end": 93.19, "word": "طيب", "probability": 0.6275634765625}, {"start": 93.19, "end": 94.09, "word": " بنروح", "probability": 0.7997233072916666}, {"start": 94.09, "end": 94.55, "word": " نختار", "probability": 0.9798177083333334}, {"start": 94.55, "end": 95.07, "word": " series", "probability": 0.7119140625}, {"start": 95.07, "end": 95.95, "word": " نقارن", "probability": 0.8828125}, {"start": 95.95, "end": 96.61, "word": " معاها", "probability": 0.8798828125}, {"start": 96.61, "end": 97.23, "word": " ال", "probability": 0.87451171875}, {"start": 97.23, "end": 97.61, "word": " series", "probability": 0.9443359375}, {"start": 97.61, "end": 97.93, "word": " اللي", "probability": 0.87451171875}, {"start": 97.93, "end": 98.39, "word": " عندنا", "probability": 0.811767578125}, {"start": 98.39, "end": 98.99, "word": " هذه", "probability": 0.56005859375}, {"start": 98.99, "end": 100.05, "word": " يبقى", "probability": 0.904541015625}, {"start": 100.05, "end": 100.65, "word": " بناء", "probability": 0.931884765625}, {"start": 100.65, "end": 101.05, "word": " عليه", "probability": 0.318115234375}, {"start": 101.05, "end": 101.49, "word": " مين", "probability": 0.96875}, {"start": 101.49, "end": 102.11, "word": " بتفضل", "probability": 0.912109375}, {"start": 102.11, "end": 102.61, "word": " نقارن", "probability": 0.9949951171875}, {"start": 102.61, "end": 102.89, "word": " معاه", "probability": 0.94482421875}, {"start": 102.89, "end": 102.97, "word": " ال", "probability": 0.880859375}, {"start": 102.97, "end": 103.19, "word": " series", "probability": 0.9404296875}, {"start": 103.19, "end": 103.75, "word": " طبعا", "probability": 0.9332275390625}, {"start": 103.75, "end": 105.85, "word": " واحد", "probability": 0.6927490234375}, {"start": 105.85, "end": 106.05, "word": " على", "probability": 0.5322265625}, {"start": 106.05, "end": 106.45, "word": " إيش", "probability": 0.8152669270833334}, {"start": 106.45, "end": 107.63, "word": " على", "probability": 0.80517578125}, {"start": 107.63, "end": 108.15, "word": " إنت", "probability": 0.6282958984375}, {"start": 108.15, "end": 108.81, "word": " كإيمة", "probability": 0.7291259765625}, {"start": 108.81, "end": 108.97, "word": " اللي", "probability": 0.96142578125}, {"start": 108.97, "end": 109.09, "word": " هي", "probability": 0.279052734375}, {"start": 109.09, "end": 109.17, "word": " ال", "probability": 0.79345703125}, {"start": 109.17, "end": 109.61, "word": " converge", "probability": 0.28466796875}, {"start": 109.61, "end": 110.45, "word": " صح؟", "probability": 0.9392903645833334}], "temperature": 1.0}, {"id": 7, "seek": 12597, "start": 110.55, "end": 125.97, "text": "لو جربنا واحد على ان تربية لأن هو واحد على ان تكيب convert لما تقسم هذا يعني هفضلن ان الكل تربية عند infinity بتطلع بجداش", "tokens": [1211, 2407, 10874, 25513, 8315, 36764, 24401, 15844, 16472, 6055, 25513, 10632, 5296, 33456, 31439, 36764, 24401, 15844, 16472, 6055, 4117, 1829, 3555, 7620, 5296, 15042, 6055, 4587, 38251, 23758, 37495, 22653, 8032, 5172, 11242, 1211, 1863, 16472, 2423, 28820, 6055, 25513, 10632, 43242, 13202, 39894, 9566, 1211, 3615, 4724, 7435, 3215, 33599], "avg_logprob": -0.4039351829776057, "compression_ratio": 1.4710144927536233, "no_speech_prob": 0.0, "words": [{"start": 110.55, "end": 110.95, "word": "لو", "probability": 0.44305419921875}, {"start": 110.95, "end": 111.69, "word": " جربنا", "probability": 0.9186197916666666}, {"start": 111.69, "end": 112.29, "word": " واحد", "probability": 0.7509765625}, {"start": 112.29, "end": 112.51, "word": " على", "probability": 0.61767578125}, {"start": 112.51, "end": 112.83, "word": " ان", "probability": 0.60693359375}, {"start": 112.83, "end": 113.43, "word": " تربية", "probability": 0.8001302083333334}, {"start": 113.43, "end": 114.05, "word": " لأن", "probability": 0.60107421875}, {"start": 114.05, "end": 114.45, "word": " هو", "probability": 0.25341796875}, {"start": 114.45, "end": 117.39, "word": " واحد", "probability": 0.7080078125}, {"start": 117.39, "end": 117.55, "word": " على", "probability": 0.8583984375}, {"start": 117.55, "end": 117.79, "word": " ان", "probability": 0.89111328125}, {"start": 117.79, "end": 118.35, "word": " تكيب", "probability": 0.6125640869140625}, {"start": 118.35, "end": 119.13, "word": " convert", "probability": 0.353271484375}, {"start": 119.13, "end": 119.85, "word": " لما", "probability": 0.816650390625}, {"start": 119.85, "end": 120.45, "word": " تقسم", "probability": 0.9747721354166666}, {"start": 120.45, "end": 120.91, "word": " هذا", "probability": 0.87255859375}, {"start": 120.91, "end": 121.25, "word": " يعني", "probability": 0.820556640625}, {"start": 121.25, "end": 122.19, "word": " هفضلن", "probability": 0.631591796875}, {"start": 122.19, "end": 122.75, "word": " ان", "probability": 0.7587890625}, {"start": 122.75, "end": 123.43, "word": " الكل", "probability": 0.7265625}, {"start": 123.43, "end": 123.97, "word": " تربية", "probability": 0.8434244791666666}, {"start": 123.97, "end": 124.25, "word": " عند", "probability": 0.332275390625}, {"start": 124.25, "end": 124.85, "word": " infinity", "probability": 0.7294921875}, {"start": 124.85, "end": 125.31, "word": " بتطلع", "probability": 0.8070068359375}, {"start": 125.31, "end": 125.97, "word": " بجداش", "probability": 0.7254638671875}], "temperature": 1.0}, {"id": 8, "seek": 15419, "start": 126.39, "end": 154.19, "text": "بإنفينتي وبالتالي بيفشل اختبار اللى عندنا إذا من الخطأ جدا بمجرد النظر انك تجسم على واحد على انت كيف لإن نتيجة اللى بتعطيك جداش ما لا نهاية يبقى بيفشل اختبار نتيجة للاختيار الخاطئ لل series اللى بنقارن معاها لكن لو روحنا قارن على واحد على انت الأولة converge والتانية converge", "tokens": [3555, 28814, 1863, 5172, 9957, 31371, 46599, 6027, 2655, 6027, 1829, 4724, 33911, 8592, 1211, 1975, 46456, 3555, 9640, 13672, 7578, 43242, 8315, 11933, 15730, 9154, 33962, 9566, 10721, 10874, 28259, 4724, 2304, 7435, 2288, 3215, 28239, 19913, 2288, 16472, 4117, 6055, 7435, 38251, 15844, 36764, 24401, 15844, 16472, 2655, 9122, 33911, 5296, 28814, 1863, 8717, 31371, 7435, 3660, 13672, 7578, 39894, 3615, 9566, 1829, 4117, 10874, 3215, 33599, 19446, 20193, 8717, 11296, 10632, 7251, 3555, 4587, 7578, 4724, 33911, 8592, 1211, 1975, 46456, 3555, 9640, 8717, 31371, 7435, 3660, 24976, 47283, 31371, 9640, 33962, 41193, 19986, 24976, 2638, 13672, 7578, 44945, 4587, 9640, 1863, 20449, 995, 11296, 44381, 45164, 12602, 2407, 5016, 8315, 12174, 9640, 1863, 15844, 36764, 24401, 15844, 16472, 2655, 2423, 10721, 12610, 3660, 41881, 16070, 2655, 7649, 10632, 41881], "avg_logprob": -0.22096548518582956, "compression_ratio": 1.963265306122449, "no_speech_prob": 0.0, "words": [{"start": 126.39, "end": 127.25, "word": "بإنفينتي", "probability": 0.6333567301432291}, {"start": 127.25, "end": 127.95, "word": " وبالتالي", "probability": 0.9333984375}, {"start": 127.95, "end": 128.51, "word": " بيفشل", "probability": 0.8172607421875}, {"start": 128.51, "end": 129.31, "word": " اختبار", "probability": 0.85015869140625}, {"start": 129.31, "end": 129.57, "word": " اللى", "probability": 0.707763671875}, {"start": 129.57, "end": 130.15, "word": " عندنا", "probability": 0.96044921875}, {"start": 130.15, "end": 130.73, "word": " إذا", "probability": 0.631591796875}, {"start": 130.73, "end": 130.91, "word": " من", "probability": 0.92529296875}, {"start": 130.91, "end": 131.57, "word": " الخطأ", "probability": 0.95751953125}, {"start": 131.57, "end": 132.13, "word": " جدا", "probability": 0.97216796875}, {"start": 132.13, "end": 133.41, "word": " بمجرد", "probability": 0.9837890625}, {"start": 133.41, "end": 133.97, "word": " النظر", "probability": 0.9832356770833334}, {"start": 133.97, "end": 134.55, "word": " انك", "probability": 0.6884765625}, {"start": 134.55, "end": 134.95, "word": " تجسم", "probability": 0.8668619791666666}, {"start": 134.95, "end": 135.17, "word": " على", "probability": 0.92822265625}, {"start": 135.17, "end": 135.65, "word": " واحد", "probability": 0.960205078125}, {"start": 135.65, "end": 136.17, "word": " على", "probability": 0.90234375}, {"start": 136.17, "end": 137.55, "word": " انت", "probability": 0.745361328125}, {"start": 137.55, "end": 138.07, "word": " كيف", "probability": 0.6524658203125}, {"start": 138.07, "end": 138.73, "word": " لإن", "probability": 0.73583984375}, {"start": 138.73, "end": 139.13, "word": " نتيجة", "probability": 0.972412109375}, {"start": 139.13, "end": 139.33, "word": " اللى", "probability": 0.6103515625}, {"start": 139.33, "end": 139.99, "word": " بتعطيك", "probability": 0.74736328125}, {"start": 139.99, "end": 140.49, "word": " جداش", "probability": 0.6446940104166666}, {"start": 140.49, "end": 141.25, "word": " ما", "probability": 0.8154296875}, {"start": 141.25, "end": 141.53, "word": " لا", "probability": 0.72705078125}, {"start": 141.53, "end": 142.19, "word": " نهاية", "probability": 0.9615885416666666}, {"start": 142.19, "end": 142.75, "word": " يبقى", "probability": 0.91552734375}, {"start": 142.75, "end": 143.31, "word": " بيفشل", "probability": 0.946044921875}, {"start": 143.31, "end": 143.93, "word": " اختبار", "probability": 0.960693359375}, {"start": 143.93, "end": 144.67, "word": " نتيجة", "probability": 0.993896484375}, {"start": 144.67, "end": 146.23, "word": " للاختيار", "probability": 0.9290771484375}, {"start": 146.23, "end": 147.03, "word": " الخاطئ", "probability": 0.8779296875}, {"start": 147.03, "end": 147.29, "word": " لل", "probability": 0.9296875}, {"start": 147.29, "end": 147.57, "word": " series", "probability": 0.86181640625}, {"start": 147.57, "end": 147.75, "word": " اللى", "probability": 0.96044921875}, {"start": 147.75, "end": 148.41, "word": " بنقارن", "probability": 0.838134765625}, {"start": 148.41, "end": 148.83, "word": " معاها", "probability": 0.85400390625}, {"start": 148.83, "end": 149.49, "word": " لكن", "probability": 0.76416015625}, {"start": 149.49, "end": 149.75, "word": " لو", "probability": 0.98779296875}, {"start": 149.75, "end": 150.09, "word": " روحنا", "probability": 0.94482421875}, {"start": 150.09, "end": 150.45, "word": " قارن", "probability": 0.8707682291666666}, {"start": 150.45, "end": 150.67, "word": " على", "probability": 0.443603515625}, {"start": 150.67, "end": 151.07, "word": " واحد", "probability": 0.9931640625}, {"start": 151.07, "end": 151.29, "word": " على", "probability": 0.88818359375}, {"start": 151.29, "end": 151.65, "word": " انت", "probability": 0.761474609375}, {"start": 151.65, "end": 152.53, "word": " الأولة", "probability": 0.5098419189453125}, {"start": 152.53, "end": 153.09, "word": " converge", "probability": 0.60888671875}, {"start": 153.09, "end": 153.61, "word": " والتانية", "probability": 0.85986328125}, {"start": 153.61, "end": 154.19, "word": " converge", "probability": 0.8642578125}], "temperature": 1.0}, {"id": 9, "seek": 16545, "start": 154.35, "end": 165.45, "text": "وبالتالي ماعنديش إشكالية مادام الأولى ماجبتش نتيجة التانية ممكن تجيب نتيجة والله أعلم يبقى احنا لو جينا وقولنا هاي summation", "tokens": [37746, 6027, 2655, 6027, 1829, 19446, 3615, 1863, 16254, 8592, 11933, 8592, 4117, 6027, 10632, 3714, 18513, 10943, 16247, 12610, 7578, 19446, 7435, 3555, 2655, 8592, 8717, 31371, 7435, 3660, 16712, 7649, 10632, 3714, 43020, 6055, 7435, 1829, 3555, 8717, 31371, 7435, 3660, 16070, 43761, 5551, 3615, 19528, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 45164, 10874, 1829, 8315, 4032, 4587, 12610, 8315, 8032, 47302, 28811], "avg_logprob": -0.2150186571612287, "compression_ratio": 1.5602836879432624, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 154.35, "end": 154.93, "word": "وبالتالي", "probability": 0.7755126953125}, {"start": 154.93, "end": 155.37, "word": " ماعنديش", "probability": 0.830908203125}, {"start": 155.37, "end": 155.89, "word": " إشكالية", "probability": 0.89375}, {"start": 155.89, "end": 156.23, "word": " مادام", "probability": 0.6363118489583334}, {"start": 156.23, "end": 157.13, "word": " الأولى", "probability": 0.8385416666666666}, {"start": 157.13, "end": 157.61, "word": " ماجبتش", "probability": 0.7240234375}, {"start": 157.61, "end": 158.35, "word": " نتيجة", "probability": 0.9859619140625}, {"start": 158.35, "end": 159.29, "word": " التانية", "probability": 0.9099934895833334}, {"start": 159.29, "end": 160.01, "word": " ممكن", "probability": 0.93408203125}, {"start": 160.01, "end": 160.47, "word": " تجيب", "probability": 0.9827880859375}, {"start": 160.47, "end": 161.13, "word": " نتيجة", "probability": 0.99462890625}, {"start": 161.13, "end": 161.65, "word": " والله", "probability": 0.7666015625}, {"start": 161.65, "end": 162.17, "word": " أعلم", "probability": 0.9264322916666666}, {"start": 162.17, "end": 163.71, "word": " يبقى", "probability": 0.932373046875}, {"start": 163.71, "end": 163.95, "word": " احنا", "probability": 0.9054361979166666}, {"start": 163.95, "end": 164.13, "word": " لو", "probability": 0.900390625}, {"start": 164.13, "end": 164.39, "word": " جينا", "probability": 0.9596354166666666}, {"start": 164.39, "end": 164.75, "word": " وقولنا", "probability": 0.6796875}, {"start": 164.75, "end": 164.99, "word": " هاي", "probability": 0.71875}, {"start": 164.99, "end": 165.45, "word": " summation", "probability": 0.453857421875}], "temperature": 1.0}, {"id": 10, "seek": 19263, "start": 167.21, "end": 192.63, "text": "لو 1 على N تربية هذي convert في series السبب because أن P يسوى 2 أكبر من الواحد الصحيح يبقى بتروح أخد limit لما ال N tends to infinity لإن ال N لكل تربية على N تقيم 1 على N تربية", "tokens": [1211, 2407, 502, 15844, 426, 6055, 2288, 21292, 3660, 8032, 8848, 1829, 7620, 8978, 2638, 21136, 3555, 3555, 570, 14739, 430, 7251, 3794, 2407, 7578, 568, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 39894, 32887, 5016, 5551, 9778, 3215, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 28814, 1863, 2423, 426, 5296, 28820, 6055, 2288, 21292, 3660, 15844, 426, 6055, 4587, 32640, 502, 15844, 426, 6055, 2288, 21292, 3660], "avg_logprob": -0.330696208567559, "compression_ratio": 1.451086956521739, "no_speech_prob": 0.0, "words": [{"start": 167.21, "end": 167.57, "word": "لو", "probability": 0.534423828125}, {"start": 167.57, "end": 167.85, "word": " 1", "probability": 0.12109375}, {"start": 167.85, "end": 168.15, "word": " على", "probability": 0.3046875}, {"start": 168.15, "end": 168.53, "word": " N", "probability": 0.54931640625}, {"start": 168.53, "end": 169.07, "word": " تربية", "probability": 0.7093505859375}, {"start": 169.07, "end": 169.59, "word": " هذي", "probability": 0.6189778645833334}, {"start": 169.59, "end": 170.33, "word": " convert", "probability": 0.204833984375}, {"start": 170.33, "end": 171.49, "word": " في", "probability": 0.6591796875}, {"start": 171.49, "end": 172.73, "word": " series", "probability": 0.471435546875}, {"start": 172.73, "end": 174.17, "word": " السبب", "probability": 0.96923828125}, {"start": 174.17, "end": 175.43, "word": " because", "probability": 0.379638671875}, {"start": 175.43, "end": 175.89, "word": " أن", "probability": 0.2147216796875}, {"start": 175.89, "end": 176.33, "word": " P", "probability": 0.91162109375}, {"start": 176.33, "end": 177.03, "word": " يسوى", "probability": 0.7003173828125}, {"start": 177.03, "end": 177.43, "word": " 2", "probability": 0.9296875}, {"start": 177.43, "end": 178.15, "word": " أكبر", "probability": 0.9298502604166666}, {"start": 178.15, "end": 178.37, "word": " من", "probability": 0.98193359375}, {"start": 178.37, "end": 179.03, "word": " الواحد", "probability": 0.59814453125}, {"start": 179.03, "end": 179.71, "word": " الصحيح", "probability": 0.8946533203125}, {"start": 179.71, "end": 180.45, "word": " يبقى", "probability": 0.6172332763671875}, {"start": 180.45, "end": 180.85, "word": " بتروح", "probability": 0.7869466145833334}, {"start": 180.85, "end": 181.39, "word": " أخد", "probability": 0.8064778645833334}, {"start": 181.39, "end": 181.89, "word": " limit", "probability": 0.9638671875}, {"start": 181.89, "end": 182.57, "word": " لما", "probability": 0.9189453125}, {"start": 182.57, "end": 182.79, "word": " ال", "probability": 0.9609375}, {"start": 182.79, "end": 183.09, "word": " N", "probability": 0.82861328125}, {"start": 183.09, "end": 183.59, "word": " tends", "probability": 0.78564453125}, {"start": 183.59, "end": 183.91, "word": " to", "probability": 0.916015625}, {"start": 183.91, "end": 185.07, "word": " infinity", "probability": 0.8466796875}, {"start": 185.07, "end": 186.53, "word": " لإن", "probability": 0.837890625}, {"start": 186.53, "end": 186.81, "word": " ال", "probability": 0.9755859375}, {"start": 186.81, "end": 187.19, "word": " N", "probability": 0.93408203125}, {"start": 187.19, "end": 187.81, "word": " لكل", "probability": 0.862548828125}, {"start": 187.81, "end": 188.67, "word": " تربية", "probability": 0.89990234375}, {"start": 188.67, "end": 188.99, "word": " على", "probability": 0.90576171875}, {"start": 188.99, "end": 189.43, "word": " N", "probability": 0.9267578125}, {"start": 189.43, "end": 190.07, "word": " تقيم", "probability": 0.75146484375}, {"start": 190.07, "end": 191.25, "word": " 1", "probability": 0.74169921875}, {"start": 191.25, "end": 191.75, "word": " على", "probability": 0.79150390625}, {"start": 191.75, "end": 192.17, "word": " N", "probability": 0.97705078125}, {"start": 192.17, "end": 192.63, "word": " تربية", "probability": 0.945068359375}], "temperature": 1.0}, {"id": 11, "seek": 20589, "start": 195.07, "end": 205.89, "text": "يبقى limit لما ال in tends to infinity لإن تربيع لإن ال in لكل تربيع على إن تكيب", "tokens": [1829, 3555, 4587, 7578, 4948, 5296, 15042, 2423, 294, 12258, 281, 13202, 5296, 28814, 1863, 6055, 2288, 21292, 3615, 5296, 28814, 1863, 2423, 294, 5296, 28820, 6055, 2288, 21292, 3615, 15844, 36145, 6055, 4117, 1829, 3555], "avg_logprob": -0.27956081725455617, "compression_ratio": 1.2659574468085106, "no_speech_prob": 0.0, "words": [{"start": 195.07, "end": 195.69, "word": "يبقى", "probability": 0.765380859375}, {"start": 195.69, "end": 196.15, "word": " limit", "probability": 0.638671875}, {"start": 196.15, "end": 196.99, "word": " لما", "probability": 0.83544921875}, {"start": 196.99, "end": 197.19, "word": " ال", "probability": 0.9384765625}, {"start": 197.19, "end": 197.41, "word": " in", "probability": 0.2232666015625}, {"start": 197.41, "end": 197.79, "word": " tends", "probability": 0.66259765625}, {"start": 197.79, "end": 198.07, "word": " to", "probability": 0.9345703125}, {"start": 198.07, "end": 198.71, "word": " infinity", "probability": 0.87548828125}, {"start": 198.71, "end": 199.75, "word": " لإن", "probability": 0.7044677734375}, {"start": 199.75, "end": 200.59, "word": " تربيع", "probability": 0.8463134765625}, {"start": 200.59, "end": 201.23, "word": " لإن", "probability": 0.9015299479166666}, {"start": 201.23, "end": 201.49, "word": " ال", "probability": 0.72998046875}, {"start": 201.49, "end": 201.87, "word": " in", "probability": 0.9599609375}, {"start": 201.87, "end": 202.49, "word": " لكل", "probability": 0.787109375}, {"start": 202.49, "end": 203.73, "word": " تربيع", "probability": 0.973388671875}, {"start": 203.73, "end": 204.39, "word": " على", "probability": 0.80615234375}, {"start": 204.39, "end": 205.09, "word": " إن", "probability": 0.3271484375}, {"start": 205.09, "end": 205.89, "word": " تكيب", "probability": 0.893798828125}], "temperature": 1.0}, {"id": 12, "seek": 23210, "start": 218.38, "end": 232.1, "text": "التعويض المباشر بيجيب لك infinity على infinity بيجيب نستخدم قاعدة lobital يبقى هنا بيستوي ال limit لما ال N tends to infinity لان اتنين", "tokens": [6027, 2655, 3615, 45865, 11242, 9673, 3555, 33599, 2288, 4724, 1829, 7435, 1829, 3555, 5296, 4117, 13202, 15844, 13202, 4724, 1829, 7435, 1829, 3555, 8717, 14851, 9778, 40448, 12174, 995, 22488, 3660, 14366, 1686, 7251, 3555, 4587, 7578, 34105, 4724, 1829, 14851, 2407, 1829, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 7649, 1975, 2655, 1863, 9957], "avg_logprob": -0.42343750496705373, "compression_ratio": 1.3904109589041096, "no_speech_prob": 0.0, "words": [{"start": 218.38, "end": 218.9, "word": "التعويض", "probability": 0.6317626953125}, {"start": 218.9, "end": 219.52, "word": " المباشر", "probability": 0.9833984375}, {"start": 219.52, "end": 220.0, "word": " بيجيب", "probability": 0.804345703125}, {"start": 220.0, "end": 220.22, "word": " لك", "probability": 0.6785888671875}, {"start": 220.22, "end": 220.96, "word": " infinity", "probability": 0.55029296875}, {"start": 220.96, "end": 221.72, "word": " على", "probability": 0.69091796875}, {"start": 221.72, "end": 222.58, "word": " infinity", "probability": 0.837890625}, {"start": 222.58, "end": 222.86, "word": " بيجيب", "probability": 0.696484375}, {"start": 222.86, "end": 223.76, "word": " نستخدم", "probability": 0.8729248046875}, {"start": 223.76, "end": 225.08, "word": " قاعدة", "probability": 0.98388671875}, {"start": 225.08, "end": 225.6, "word": " lobital", "probability": 0.3765106201171875}, {"start": 225.6, "end": 226.08, "word": " يبقى", "probability": 0.7493896484375}, {"start": 226.08, "end": 226.38, "word": " هنا", "probability": 0.9306640625}, {"start": 226.38, "end": 227.16, "word": " بيستوي", "probability": 0.5046142578125}, {"start": 227.16, "end": 227.3, "word": " ال", "probability": 0.560546875}, {"start": 227.3, "end": 227.78, "word": " limit", "probability": 0.91650390625}, {"start": 227.78, "end": 228.24, "word": " لما", "probability": 0.862548828125}, {"start": 228.24, "end": 228.42, "word": " ال", "probability": 0.92529296875}, {"start": 228.42, "end": 228.82, "word": " N", "probability": 0.28759765625}, {"start": 228.82, "end": 229.14, "word": " tends", "probability": 0.6435546875}, {"start": 229.14, "end": 229.4, "word": " to", "probability": 0.9267578125}, {"start": 229.4, "end": 230.08, "word": " infinity", "probability": 0.8486328125}, {"start": 230.08, "end": 231.44, "word": " لان", "probability": 0.5513916015625}, {"start": 231.44, "end": 232.1, "word": " اتنين", "probability": 0.790496826171875}], "temperature": 1.0}, {"id": 13, "seek": 25769, "start": 232.49, "end": 257.69, "text": "لن ال N في مشتقة لن ال N اللي هي جداش واحد على انه مشتقة المقام جداش بواحد يبجي أسارة المسألة اتنين هذا constant برا ال limit وهي limit لما ال N tends to infinity للن ال N على M هذه ال limit بجداش بجداش ال limit هذه", "tokens": [1211, 1863, 2423, 426, 8978, 37893, 2655, 28671, 5296, 1863, 2423, 426, 13672, 1829, 39896, 10874, 3215, 33599, 36764, 24401, 15844, 16472, 3224, 37893, 2655, 28671, 9673, 4587, 10943, 10874, 3215, 33599, 4724, 14407, 24401, 7251, 3555, 7435, 1829, 5551, 3794, 9640, 3660, 9673, 3794, 10721, 37977, 1975, 2655, 1863, 9957, 23758, 5754, 4724, 23557, 2423, 4948, 37037, 1829, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 1211, 1863, 2423, 426, 15844, 376, 29538, 2423, 4948, 4724, 7435, 3215, 33599, 4724, 7435, 3215, 33599, 2423, 4948, 29538], "avg_logprob": -0.2882724585158102, "compression_ratio": 1.8010752688172043, "no_speech_prob": 0.0, "words": [{"start": 232.49, "end": 233.19, "word": "لن", "probability": 0.255859375}, {"start": 233.19, "end": 233.53, "word": " ال", "probability": 0.587890625}, {"start": 233.53, "end": 233.85, "word": " N", "probability": 0.1947021484375}, {"start": 233.85, "end": 234.35, "word": " في", "probability": 0.75732421875}, {"start": 234.35, "end": 235.29, "word": " مشتقة", "probability": 0.9122721354166666}, {"start": 235.29, "end": 235.73, "word": " لن", "probability": 0.94921875}, {"start": 235.73, "end": 235.97, "word": " ال", "probability": 0.86474609375}, {"start": 235.97, "end": 236.23, "word": " N", "probability": 0.95556640625}, {"start": 236.23, "end": 236.41, "word": " اللي", "probability": 0.6103515625}, {"start": 236.41, "end": 236.63, "word": " هي", "probability": 0.77099609375}, {"start": 236.63, "end": 237.23, "word": " جداش", "probability": 0.78564453125}, {"start": 237.23, "end": 238.25, "word": " واحد", "probability": 0.7266845703125}, {"start": 238.25, "end": 238.47, "word": " على", "probability": 0.52392578125}, {"start": 238.47, "end": 238.79, "word": " انه", "probability": 0.812744140625}, {"start": 238.79, "end": 239.35, "word": " مشتقة", "probability": 0.9791666666666666}, {"start": 239.35, "end": 239.91, "word": " المقام", "probability": 0.97705078125}, {"start": 239.91, "end": 240.71, "word": " جداش", "probability": 0.87255859375}, {"start": 240.71, "end": 241.91, "word": " بواحد", "probability": 0.8450520833333334}, {"start": 241.91, "end": 242.23, "word": " يبجي", "probability": 0.5289306640625}, {"start": 242.23, "end": 242.81, "word": " أسارة", "probability": 0.74658203125}, {"start": 242.81, "end": 243.57, "word": " المسألة", "probability": 0.9638671875}, {"start": 243.57, "end": 244.07, "word": " اتنين", "probability": 0.8758544921875}, {"start": 244.07, "end": 244.39, "word": " هذا", "probability": 0.7587890625}, {"start": 244.39, "end": 245.09, "word": " constant", "probability": 0.91064453125}, {"start": 245.09, "end": 245.61, "word": " برا", "probability": 0.8857421875}, {"start": 245.61, "end": 245.77, "word": " ال", "probability": 0.88916015625}, {"start": 245.77, "end": 246.13, "word": " limit", "probability": 0.94189453125}, {"start": 246.13, "end": 246.91, "word": " وهي", "probability": 0.6923828125}, {"start": 246.91, "end": 247.33, "word": " limit", "probability": 0.97314453125}, {"start": 247.33, "end": 247.67, "word": " لما", "probability": 0.8974609375}, {"start": 247.67, "end": 247.81, "word": " ال", "probability": 0.96142578125}, {"start": 247.81, "end": 248.11, "word": " N", "probability": 0.943359375}, {"start": 248.11, "end": 248.45, "word": " tends", "probability": 0.2149658203125}, {"start": 248.45, "end": 248.61, "word": " to", "probability": 0.908203125}, {"start": 248.61, "end": 249.25, "word": " infinity", "probability": 0.8779296875}, {"start": 249.25, "end": 250.05, "word": " للن", "probability": 0.8766276041666666}, {"start": 250.05, "end": 250.43, "word": " ال", "probability": 0.8447265625}, {"start": 250.43, "end": 250.77, "word": " N", "probability": 0.9892578125}, {"start": 250.77, "end": 251.31, "word": " على", "probability": 0.8037109375}, {"start": 251.31, "end": 251.95, "word": " M", "probability": 0.87109375}, {"start": 251.95, "end": 253.17, "word": " هذه", "probability": 0.650390625}, {"start": 253.17, "end": 253.41, "word": " ال", "probability": 0.83203125}, {"start": 253.41, "end": 253.65, "word": " limit", "probability": 0.95703125}, {"start": 253.65, "end": 254.55, "word": " بجداش", "probability": 0.842041015625}, {"start": 254.55, "end": 256.89, "word": " بجداش", "probability": 0.84466552734375}, {"start": 256.89, "end": 257.01, "word": " ال", "probability": 0.630859375}, {"start": 257.01, "end": 257.25, "word": " limit", "probability": 0.98291015625}, {"start": 257.25, "end": 257.69, "word": " هذه", "probability": 0.7861328125}], "temperature": 1.0}, {"id": 14, "seek": 28424, "start": 261.6, "end": 284.24, "text": "أول واحدة فيهم يبقى هذا الكلام بده يساوي اتنين في زيرو ويساوي زيرو الان النتيجة زيرو تبعت المقام converge يبقى بناء على ال limit comparative part two النقطة الثانية منه ال series مالها converge فبجي بقوله bye", "tokens": [10721, 12610, 36764, 24401, 3660, 8978, 16095, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8978, 30767, 13546, 2407, 4032, 1829, 3794, 995, 45865, 30767, 13546, 2407, 2423, 7649, 28239, 31371, 7435, 3660, 30767, 13546, 2407, 6055, 3555, 34268, 9673, 4587, 10943, 41881, 7251, 3555, 4587, 7578, 44945, 16606, 15844, 2423, 4948, 39292, 644, 732, 28239, 47432, 3660, 6024, 104, 7649, 10632, 9154, 3224, 2423, 2638, 3714, 6027, 11296, 41881, 6156, 3555, 7435, 1829, 4724, 39648, 3224, 6543], "avg_logprob": -0.33163624934935837, "compression_ratio": 1.5961538461538463, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 261.6, "end": 262.72, "word": "أول", "probability": 0.481475830078125}, {"start": 262.72, "end": 263.34, "word": " واحدة", "probability": 0.8893229166666666}, {"start": 263.34, "end": 263.68, "word": " فيهم", "probability": 0.415283203125}, {"start": 263.68, "end": 264.74, "word": " يبقى", "probability": 0.8482666015625}, {"start": 264.74, "end": 265.02, "word": " هذا", "probability": 0.8544921875}, {"start": 265.02, "end": 265.56, "word": " الكلام", "probability": 0.90087890625}, {"start": 265.56, "end": 265.94, "word": " بده", "probability": 0.310821533203125}, {"start": 265.94, "end": 266.46, "word": " يساوي", "probability": 0.95751953125}, {"start": 266.46, "end": 267.02, "word": " اتنين", "probability": 0.79840087890625}, {"start": 267.02, "end": 267.28, "word": " في", "probability": 0.96240234375}, {"start": 267.28, "end": 267.84, "word": " زيرو", "probability": 0.6766764322916666}, {"start": 267.84, "end": 268.82, "word": " ويساوي", "probability": 0.9115234375}, {"start": 268.82, "end": 269.44, "word": " زيرو", "probability": 0.9143880208333334}, {"start": 269.44, "end": 270.28, "word": " الان", "probability": 0.6287841796875}, {"start": 270.28, "end": 271.08, "word": " النتيجة", "probability": 0.926513671875}, {"start": 271.08, "end": 271.62, "word": " زيرو", "probability": 0.77099609375}, {"start": 271.62, "end": 272.16, "word": " تبعت", "probability": 0.88623046875}, {"start": 272.16, "end": 273.02, "word": " المقام", "probability": 0.95703125}, {"start": 273.02, "end": 274.2, "word": " converge", "probability": 0.74951171875}, {"start": 274.2, "end": 274.94, "word": " يبقى", "probability": 0.9588623046875}, {"start": 274.94, "end": 275.28, "word": " بناء", "probability": 0.768310546875}, {"start": 275.28, "end": 275.56, "word": " على", "probability": 0.66943359375}, {"start": 275.56, "end": 275.7, "word": " ال", "probability": 0.3505859375}, {"start": 275.7, "end": 275.98, "word": " limit", "probability": 0.88818359375}, {"start": 275.98, "end": 276.7, "word": " comparative", "probability": 0.20947265625}, {"start": 276.7, "end": 277.74, "word": " part", "probability": 0.23779296875}, {"start": 277.74, "end": 278.48, "word": " two", "probability": 0.42138671875}, {"start": 278.48, "end": 279.18, "word": " النقطة", "probability": 0.85693359375}, {"start": 279.18, "end": 279.7, "word": " الثانية", "probability": 0.932861328125}, {"start": 279.7, "end": 280.08, "word": " منه", "probability": 0.57916259765625}, {"start": 280.08, "end": 280.22, "word": " ال", "probability": 0.75830078125}, {"start": 280.22, "end": 280.46, "word": " series", "probability": 0.8662109375}, {"start": 280.46, "end": 281.02, "word": " مالها", "probability": 0.8025716145833334}, {"start": 281.02, "end": 282.18, "word": " converge", "probability": 0.43701171875}, {"start": 282.18, "end": 282.98, "word": " فبجي", "probability": 0.798583984375}, {"start": 282.98, "end": 283.7, "word": " بقوله", "probability": 0.9041341145833334}, {"start": 283.7, "end": 284.24, "word": " bye", "probability": 0.443115234375}], "temperature": 1.0}, {"id": 15, "seek": 30741, "start": 305.19, "end": 307.41, "text": "سؤال السابع", "tokens": [3794, 33604, 6027, 21136, 16758, 3615], "avg_logprob": -0.19461495535714285, "compression_ratio": 0.75, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 305.19, "end": 306.59, "word": "سؤال", "probability": 0.78466796875}, {"start": 306.59, "end": 307.41, "word": " السابع", "probability": 0.9593098958333334}], "temperature": 1.0}, {"id": 16, "seek": 33100, "start": 311.12, "end": 331.0, "text": "بيقول لي summation من n equal one to infinity لواحد ناقص cosine واحد على n بنشوف هل ال series هذي converge و لا diverse", "tokens": [3555, 1829, 39648, 32239, 28811, 9154, 297, 2681, 472, 281, 13202, 5296, 14407, 24401, 8717, 995, 4587, 9381, 23565, 36764, 24401, 15844, 297, 44945, 8592, 38688, 8032, 1211, 2423, 2638, 8032, 8848, 1829, 41881, 4032, 20193, 9521], "avg_logprob": -0.33347039003121226, "compression_ratio": 1.1954887218045114, "no_speech_prob": 0.0, "words": [{"start": 311.12, "end": 311.84, "word": "بيقول", "probability": 0.632080078125}, {"start": 311.84, "end": 312.1, "word": " لي", "probability": 0.2646484375}, {"start": 312.1, "end": 313.04, "word": " summation", "probability": 0.8017578125}, {"start": 313.04, "end": 314.08, "word": " من", "probability": 0.927734375}, {"start": 314.08, "end": 314.46, "word": " n", "probability": 0.4775390625}, {"start": 314.46, "end": 315.02, "word": " equal", "probability": 0.2430419921875}, {"start": 315.02, "end": 315.5, "word": " one", "probability": 0.7548828125}, {"start": 315.5, "end": 315.84, "word": " to", "probability": 0.9580078125}, {"start": 315.84, "end": 316.96, "word": " infinity", "probability": 0.85888671875}, {"start": 316.96, "end": 318.4, "word": " لواحد", "probability": 0.8063151041666666}, {"start": 318.4, "end": 319.2, "word": " ناقص", "probability": 0.9793701171875}, {"start": 319.2, "end": 320.06, "word": " cosine", "probability": 0.81298828125}, {"start": 320.06, "end": 321.38, "word": " واحد", "probability": 0.957763671875}, {"start": 321.38, "end": 321.76, "word": " على", "probability": 0.79296875}, {"start": 321.76, "end": 322.36, "word": " n", "probability": 0.62548828125}, {"start": 322.36, "end": 327.24, "word": " بنشوف", "probability": 0.732666015625}, {"start": 327.24, "end": 327.42, "word": " هل", "probability": 0.79248046875}, {"start": 327.42, "end": 327.52, "word": " ال", "probability": 0.673828125}, {"start": 327.52, "end": 327.82, "word": " series", "probability": 0.90087890625}, {"start": 327.82, "end": 328.32, "word": " هذي", "probability": 0.6517740885416666}, {"start": 328.32, "end": 328.9, "word": " converge", "probability": 0.91064453125}, {"start": 328.9, "end": 329.74, "word": " و", "probability": 0.328369140625}, {"start": 329.74, "end": 330.18, "word": " لا", "probability": 0.88232421875}, {"start": 330.18, "end": 331.0, "word": " diverse", "probability": 0.5087890625}], "temperature": 1.0}, {"id": 17, "seek": 35504, "start": 331.78, "end": 355.04, "text": "نقررها مع مين يا شباب؟ مع واحد على ان انا موافق بس هل تجيب نتيجة و لا ماتجيبش نتيجة؟ الله أعلم طب لو جينا مع واحد على ان واحد على ان diverse مظبوط؟ وهنا واحد ناقص كسين واحد على ان على واحد على ان لما الان بدأ تروح للمال نهاية", "tokens": [1863, 4587, 2288, 2288, 11296, 20449, 3714, 9957, 35186, 13412, 3555, 16758, 22807, 20449, 36764, 24401, 15844, 16472, 1975, 8315, 3714, 14407, 5172, 4587, 4724, 3794, 8032, 1211, 6055, 7435, 1829, 3555, 8717, 31371, 7435, 3660, 4032, 20193, 3714, 9307, 7435, 1829, 3555, 8592, 8717, 31371, 7435, 3660, 22807, 21984, 5551, 3615, 19528, 23032, 3555, 45164, 10874, 1829, 8315, 20449, 36764, 24401, 15844, 16472, 36764, 24401, 15844, 16472, 9521, 3714, 19913, 3555, 2407, 9566, 22807, 37037, 8315, 36764, 24401, 8717, 995, 4587, 9381, 9122, 3794, 9957, 36764, 24401, 15844, 16472, 15844, 36764, 24401, 15844, 16472, 5296, 15042, 2423, 7649, 47525, 10721, 6055, 32887, 5016, 5296, 19528, 6027, 8717, 11296, 10632], "avg_logprob": -0.21255631033364716, "compression_ratio": 2.0205128205128204, "no_speech_prob": 0.0, "words": [{"start": 331.78, "end": 332.5, "word": "نقررها", "probability": 0.78564453125}, {"start": 332.5, "end": 332.66, "word": " مع", "probability": 0.91015625}, {"start": 332.66, "end": 332.84, "word": " مين", "probability": 0.329345703125}, {"start": 332.84, "end": 332.96, "word": " يا", "probability": 0.97607421875}, {"start": 332.96, "end": 333.62, "word": " شباب؟", "probability": 0.9222412109375}, {"start": 333.62, "end": 335.2, "word": " مع", "probability": 0.468017578125}, {"start": 335.2, "end": 335.56, "word": " واحد", "probability": 0.87451171875}, {"start": 335.56, "end": 335.72, "word": " على", "probability": 0.62744140625}, {"start": 335.72, "end": 335.88, "word": " ان", "probability": 0.40576171875}, {"start": 335.88, "end": 336.04, "word": " انا", "probability": 0.70751953125}, {"start": 336.04, "end": 336.56, "word": " موافق", "probability": 0.9385986328125}, {"start": 336.56, "end": 337.48, "word": " بس", "probability": 0.6629638671875}, {"start": 337.48, "end": 337.72, "word": " هل", "probability": 0.95654296875}, {"start": 337.72, "end": 338.02, "word": " تجيب", "probability": 0.97607421875}, {"start": 338.02, "end": 338.4, "word": " نتيجة", "probability": 0.9840087890625}, {"start": 338.4, "end": 338.48, "word": " و", "probability": 0.455322265625}, {"start": 338.48, "end": 338.58, "word": " لا", "probability": 0.74951171875}, {"start": 338.58, "end": 339.0, "word": " ماتجيبش", "probability": 0.8547770182291666}, {"start": 339.0, "end": 339.5, "word": " نتيجة؟", "probability": 0.9265625}, {"start": 339.5, "end": 340.1, "word": " الله", "probability": 0.87060546875}, {"start": 340.1, "end": 340.8, "word": " أعلم", "probability": 0.9513346354166666}, {"start": 340.8, "end": 341.62, "word": " طب", "probability": 0.737060546875}, {"start": 341.62, "end": 341.82, "word": " لو", "probability": 0.98486328125}, {"start": 341.82, "end": 342.12, "word": " جينا", "probability": 0.99365234375}, {"start": 342.12, "end": 342.32, "word": " مع", "probability": 0.9658203125}, {"start": 342.32, "end": 342.78, "word": " واحد", "probability": 0.990234375}, {"start": 342.78, "end": 343.2, "word": " على", "probability": 0.904296875}, {"start": 343.2, "end": 343.66, "word": " ان", "probability": 0.7958984375}, {"start": 343.66, "end": 344.22, "word": " واحد", "probability": 0.852294921875}, {"start": 344.22, "end": 344.42, "word": " على", "probability": 0.88623046875}, {"start": 344.42, "end": 344.72, "word": " ان", "probability": 0.9609375}, {"start": 344.72, "end": 345.52, "word": " diverse", "probability": 0.396728515625}, {"start": 345.52, "end": 347.08, "word": " مظبوط؟", "probability": 0.7906901041666666}, {"start": 347.08, "end": 347.68, "word": " وهنا", "probability": 0.759033203125}, {"start": 347.68, "end": 348.16, "word": " واحد", "probability": 0.98193359375}, {"start": 348.16, "end": 348.58, "word": " ناقص", "probability": 0.96484375}, {"start": 348.58, "end": 349.0, "word": " كسين", "probability": 0.5347493489583334}, {"start": 349.0, "end": 349.36, "word": " واحد", "probability": 0.883056640625}, {"start": 349.36, "end": 349.52, "word": " على", "probability": 0.83251953125}, {"start": 349.52, "end": 349.72, "word": " ان", "probability": 0.91064453125}, {"start": 349.72, "end": 350.04, "word": " على", "probability": 0.75927734375}, {"start": 350.04, "end": 350.9, "word": " واحد", "probability": 0.989990234375}, {"start": 350.9, "end": 351.22, "word": " على", "probability": 0.9404296875}, {"start": 351.22, "end": 351.54, "word": " ان", "probability": 0.93017578125}, {"start": 351.54, "end": 352.38, "word": " لما", "probability": 0.858154296875}, {"start": 352.38, "end": 352.7, "word": " الان", "probability": 0.929443359375}, {"start": 352.7, "end": 353.02, "word": " بدأ", "probability": 0.6456298828125}, {"start": 353.02, "end": 353.5, "word": " تروح", "probability": 0.9261067708333334}, {"start": 353.5, "end": 354.28, "word": " للمال", "probability": 0.8626302083333334}, {"start": 354.28, "end": 355.04, "word": " نهاية", "probability": 0.710693359375}], "temperature": 1.0}, {"id": 18, "seek": 38508, "start": 355.42, "end": 385.08, "text": "بصير كوساين صفر اللي هو بيقول باشر واحد نقص واحد صفر تمام على صفر بدنا نروح نشتق يبقى لما نروح نشتق بصينا عند ايه صين واحد على ان في سالب واحد على ان تربيه على سالب واحد على ان تربيه وصار صين واحد على ان واحد على مدى نهاية Zero صين Zero ب Zero إذا فشل الإختبار", "tokens": [3555, 9381, 13546, 9122, 41779, 995, 9957, 20328, 5172, 2288, 13672, 1829, 31439, 4724, 1829, 39648, 4724, 33599, 2288, 36764, 24401, 8717, 4587, 9381, 36764, 24401, 20328, 5172, 2288, 46811, 10943, 15844, 20328, 5172, 2288, 47525, 8315, 8717, 32887, 5016, 8717, 8592, 2655, 4587, 7251, 3555, 4587, 7578, 5296, 15042, 8717, 32887, 5016, 8717, 8592, 2655, 4587, 4724, 9381, 1829, 8315, 43242, 1975, 1829, 3224, 20328, 9957, 36764, 24401, 15844, 16472, 8978, 8608, 6027, 3555, 36764, 24401, 15844, 16472, 6055, 2288, 21292, 3224, 15844, 8608, 6027, 3555, 36764, 24401, 15844, 16472, 6055, 2288, 21292, 3224, 4032, 9381, 9640, 20328, 9957, 36764, 24401, 15844, 16472, 36764, 24401, 15844, 3714, 3215, 7578, 8717, 11296, 10632, 17182, 20328, 9957, 17182, 4724, 17182, 11933, 15730, 6156, 8592, 1211, 33688, 46456, 3555, 9640], "avg_logprob": -0.27761627906976744, "compression_ratio": 2.2487562189054726, "no_speech_prob": 0.0, "words": [{"start": 355.42, "end": 356.22, "word": "بصير", "probability": 0.6572265625}, {"start": 356.22, "end": 357.3, "word": " كوساين", "probability": 0.52459716796875}, {"start": 357.3, "end": 357.84, "word": " صفر", "probability": 0.9873046875}, {"start": 357.84, "end": 358.38, "word": " اللي", "probability": 0.5550537109375}, {"start": 358.38, "end": 358.48, "word": " هو", "probability": 0.7626953125}, {"start": 358.48, "end": 358.7, "word": " بيقول", "probability": 0.5196126302083334}, {"start": 358.7, "end": 359.26, "word": " باشر", "probability": 0.3782552083333333}, {"start": 359.26, "end": 360.08, "word": " واحد", "probability": 0.8154296875}, {"start": 360.08, "end": 360.42, "word": " نقص", "probability": 0.8902994791666666}, {"start": 360.42, "end": 360.94, "word": " واحد", "probability": 0.986083984375}, {"start": 360.94, "end": 362.5, "word": " صفر", "probability": 0.9368489583333334}, {"start": 362.5, "end": 363.74, "word": " تمام", "probability": 0.797119140625}, {"start": 363.74, "end": 364.24, "word": " على", "probability": 0.7255859375}, {"start": 364.24, "end": 364.84, "word": " صفر", "probability": 0.9755859375}, {"start": 364.84, "end": 365.14, "word": " بدنا", "probability": 0.870361328125}, {"start": 365.14, "end": 365.4, "word": " نروح", "probability": 0.9542643229166666}, {"start": 365.4, "end": 366.04, "word": " نشتق", "probability": 0.9066162109375}, {"start": 366.04, "end": 366.78, "word": " يبقى", "probability": 0.72430419921875}, {"start": 366.78, "end": 367.0, "word": " لما", "probability": 0.971923828125}, {"start": 367.0, "end": 367.32, "word": " نروح", "probability": 0.9749348958333334}, {"start": 367.32, "end": 367.74, "word": " نشتق", "probability": 0.9937744140625}, {"start": 367.74, "end": 368.08, "word": " بصينا", "probability": 0.772705078125}, {"start": 368.08, "end": 368.3, "word": " عند", "probability": 0.78515625}, {"start": 368.3, "end": 368.82, "word": " ايه", "probability": 0.8414713541666666}, {"start": 368.82, "end": 369.64, "word": " صين", "probability": 0.59844970703125}, {"start": 369.64, "end": 370.14, "word": " واحد", "probability": 0.98681640625}, {"start": 370.14, "end": 370.34, "word": " على", "probability": 0.67041015625}, {"start": 370.34, "end": 370.5, "word": " ان", "probability": 0.35888671875}, {"start": 370.5, "end": 370.68, "word": " في", "probability": 0.884765625}, {"start": 370.68, "end": 371.08, "word": " سالب", "probability": 0.7880859375}, {"start": 371.08, "end": 371.54, "word": " واحد", "probability": 0.984130859375}, {"start": 371.54, "end": 371.98, "word": " على", "probability": 0.93505859375}, {"start": 371.98, "end": 372.38, "word": " ان", "probability": 0.85009765625}, {"start": 372.38, "end": 373.04, "word": " تربيه", "probability": 0.7742919921875}, {"start": 373.04, "end": 373.68, "word": " على", "probability": 0.87939453125}, {"start": 373.68, "end": 374.16, "word": " سالب", "probability": 0.9329427083333334}, {"start": 374.16, "end": 374.5, "word": " واحد", "probability": 0.991455078125}, {"start": 374.5, "end": 374.68, "word": " على", "probability": 0.91357421875}, {"start": 374.68, "end": 374.86, "word": " ان", "probability": 0.8994140625}, {"start": 374.86, "end": 375.14, "word": " تربيه", "probability": 0.9747314453125}, {"start": 375.14, "end": 375.52, "word": " وصار", "probability": 0.7023111979166666}, {"start": 375.52, "end": 376.24, "word": " صين", "probability": 0.77197265625}, {"start": 376.24, "end": 376.98, "word": " واحد", "probability": 0.993408203125}, {"start": 376.98, "end": 377.44, "word": " على", "probability": 0.9248046875}, {"start": 377.44, "end": 378.1, "word": " ان", "probability": 0.89697265625}, {"start": 378.1, "end": 378.98, "word": " واحد", "probability": 0.980224609375}, {"start": 378.98, "end": 379.16, "word": " على", "probability": 0.9462890625}, {"start": 379.16, "end": 379.48, "word": " مدى", "probability": 0.4538981119791667}, {"start": 379.48, "end": 380.22, "word": " نهاية", "probability": 0.9264322916666666}, {"start": 380.22, "end": 381.34, "word": " Zero", "probability": 0.260986328125}, {"start": 381.34, "end": 381.88, "word": " صين", "probability": 0.68603515625}, {"start": 381.88, "end": 382.48, "word": " Zero", "probability": 0.34765625}, {"start": 382.48, "end": 382.68, "word": " ب", "probability": 0.6572265625}, {"start": 382.68, "end": 383.1, "word": " Zero", "probability": 0.75927734375}, {"start": 383.1, "end": 383.5, "word": " إذا", "probability": 0.744873046875}, {"start": 383.5, "end": 384.16, "word": " فشل", "probability": 0.81591796875}, {"start": 384.16, "end": 385.08, "word": " الإختبار", "probability": 0.8453369140625}], "temperature": 1.0}, {"id": 19, "seek": 41048, "start": 385.34, "end": 410.48, "text": "تمام؟ إذا لو روحنا قارننا مع واحد على ان بيفشل الاختبار، مظبوط؟ طيب، لو روحنا لاختبار الحد النوني، limit لهذا المقدار لما الانبط يروح للماء لنهاية، لأنه بدنا اختبار آخر، مظبوط؟ يبقى لو أخدت limit هذا لما الانبط يروح للماء، بيصير واحد عمال لنهاية", "tokens": [2655, 15042, 2304, 22807, 11933, 15730, 45164, 12602, 2407, 5016, 8315, 12174, 9640, 1863, 8315, 20449, 36764, 24401, 15844, 16472, 4724, 33911, 8592, 1211, 2423, 47283, 2655, 3555, 9640, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 23032, 1829, 3555, 12399, 45164, 12602, 2407, 5016, 8315, 5296, 47283, 2655, 3555, 9640, 21542, 3215, 28239, 11536, 1829, 12399, 4948, 46740, 15730, 9673, 28543, 9640, 5296, 15042, 2423, 7649, 3555, 9566, 7251, 32887, 5016, 5296, 19528, 16606, 5296, 1863, 11296, 10632, 12399, 5296, 33456, 3224, 47525, 8315, 1975, 46456, 3555, 9640, 19753, 34740, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 45164, 5551, 9778, 3215, 2655, 4948, 23758, 5296, 15042, 2423, 7649, 3555, 9566, 7251, 32887, 5016, 5296, 19528, 16606, 12399, 4724, 1829, 9381, 13546, 36764, 24401, 6225, 2304, 6027, 5296, 1863, 11296, 10632], "avg_logprob": -0.23506944334065472, "compression_ratio": 2.111111111111111, "no_speech_prob": 0.0, "words": [{"start": 385.34, "end": 386.26, "word": "تمام؟", "probability": 0.5394439697265625}, {"start": 386.26, "end": 386.74, "word": " إذا", "probability": 0.669921875}, {"start": 386.74, "end": 387.02, "word": " لو", "probability": 0.96240234375}, {"start": 387.02, "end": 387.4, "word": " روحنا", "probability": 0.8524169921875}, {"start": 387.4, "end": 388.48, "word": " قارننا", "probability": 0.81488037109375}, {"start": 388.48, "end": 388.94, "word": " مع", "probability": 0.9140625}, {"start": 388.94, "end": 389.4, "word": " واحد", "probability": 0.984619140625}, {"start": 389.4, "end": 389.76, "word": " على", "probability": 0.79248046875}, {"start": 389.76, "end": 390.06, "word": " ان", "probability": 0.483642578125}, {"start": 390.06, "end": 390.74, "word": " بيفشل", "probability": 0.8155517578125}, {"start": 390.74, "end": 391.7, "word": " الاختبار،", "probability": 0.829833984375}, {"start": 391.7, "end": 392.6, "word": " مظبوط؟", "probability": 0.9060872395833334}, {"start": 392.6, "end": 393.24, "word": " طيب،", "probability": 0.80279541015625}, {"start": 393.24, "end": 393.48, "word": " لو", "probability": 0.986328125}, {"start": 393.48, "end": 393.88, "word": " روحنا", "probability": 0.992431640625}, {"start": 393.88, "end": 394.52, "word": " لاختبار", "probability": 0.95478515625}, {"start": 394.52, "end": 395.2, "word": " الحد", "probability": 0.95556640625}, {"start": 395.2, "end": 396.74, "word": " النوني،", "probability": 0.7530517578125}, {"start": 396.74, "end": 397.24, "word": " limit", "probability": 0.9560546875}, {"start": 397.24, "end": 397.8, "word": " لهذا", "probability": 0.6248779296875}, {"start": 397.8, "end": 398.38, "word": " المقدار", "probability": 0.8870442708333334}, {"start": 398.38, "end": 398.64, "word": " لما", "probability": 0.88525390625}, {"start": 398.64, "end": 399.18, "word": " الانبط", "probability": 0.54278564453125}, {"start": 399.18, "end": 399.78, "word": " يروح", "probability": 0.9558919270833334}, {"start": 399.78, "end": 401.06, "word": " للماء", "probability": 0.7062174479166666}, {"start": 401.06, "end": 402.34, "word": " لنهاية،", "probability": 0.741015625}, {"start": 402.34, "end": 403.2, "word": " لأنه", "probability": 0.7591145833333334}, {"start": 403.2, "end": 403.42, "word": " بدنا", "probability": 0.90673828125}, {"start": 403.42, "end": 403.84, "word": " اختبار", "probability": 0.9705810546875}, {"start": 403.84, "end": 404.48, "word": " آخر،", "probability": 0.8470052083333334}, {"start": 404.48, "end": 406.24, "word": " مظبوط؟", "probability": 0.9814453125}, {"start": 406.24, "end": 406.58, "word": " يبقى", "probability": 0.7779541015625}, {"start": 406.58, "end": 406.82, "word": " لو", "probability": 0.564453125}, {"start": 406.82, "end": 407.12, "word": " أخدت", "probability": 0.855224609375}, {"start": 407.12, "end": 407.38, "word": " limit", "probability": 0.97265625}, {"start": 407.38, "end": 407.76, "word": " هذا", "probability": 0.91259765625}, {"start": 407.76, "end": 408.0, "word": " لما", "probability": 0.957763671875}, {"start": 408.0, "end": 408.46, "word": " الانبط", "probability": 0.9808349609375}, {"start": 408.46, "end": 408.66, "word": " يروح", "probability": 0.9046223958333334}, {"start": 408.66, "end": 409.02, "word": " للماء،", "probability": 0.80926513671875}, {"start": 409.02, "end": 409.2, "word": " بيصير", "probability": 0.64385986328125}, {"start": 409.2, "end": 409.5, "word": " واحد", "probability": 0.989013671875}, {"start": 409.5, "end": 409.82, "word": " عمال", "probability": 0.7210286458333334}, {"start": 409.82, "end": 410.48, "word": " لنهاية", "probability": 0.79541015625}], "temperature": 1.0}, {"id": 20, "seek": 41895, "start": 414.31, "end": 418.95, "text": "فش الاختبار الحدي النوني تكامل", "tokens": [5172, 8592, 2423, 47283, 2655, 3555, 9640, 21542, 16254, 28239, 11536, 1829, 6055, 4117, 10943, 1211], "avg_logprob": -0.5542279411764706, "compression_ratio": 1.037037037037037, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 414.31, "end": 415.71, "word": "فش", "probability": 0.272979736328125}, {"start": 415.71, "end": 416.49, "word": " الاختبار", "probability": 0.8372314453125}, {"start": 416.49, "end": 417.19, "word": " الحدي", "probability": 0.796630859375}, {"start": 417.19, "end": 417.93, "word": " النوني", "probability": 0.8798828125}, {"start": 417.93, "end": 418.95, "word": " تكامل", "probability": 0.77105712890625}], "temperature": 1.0}, {"id": 21, "seek": 44784, "start": 421.92, "end": 447.84, "text": "و لسه باك تبحث الأمور التلادة طب ليش؟ غير ال series سابعتك يعني هي القرآن نزل من السماء غير summation 1 على M ليس بالضرورة يعني انت ممكن تختار series و يكون هذا الاختيار خاطئ تضطر إلى تغيير ال series اللي عندك و ليس إلى تغيير الاختبار احنا روحنا غيرنا الاختبار دغري وهذا ليس بالضرورة", "tokens": [2407, 5296, 3794, 3224, 4724, 995, 4117, 6055, 49628, 12984, 16247, 2304, 13063, 16712, 1211, 18513, 3660, 23032, 3555, 32239, 8592, 22807, 32771, 13546, 2423, 2638, 8608, 16758, 34268, 4117, 37495, 22653, 39896, 25062, 2288, 148, 48506, 8717, 11622, 1211, 9154, 21136, 2304, 16606, 32771, 13546, 28811, 502, 15844, 376, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 37495, 22653, 16472, 2655, 3714, 43020, 6055, 46456, 9640, 2638, 4032, 7251, 30544, 23758, 2423, 47283, 31371, 9640, 16490, 41193, 19986, 6055, 11242, 9566, 2288, 30731, 6055, 17082, 1829, 13546, 2423, 2638, 13672, 1829, 43242, 4117, 4032, 32239, 3794, 30731, 6055, 17082, 1829, 13546, 2423, 47283, 2655, 3555, 9640, 1975, 5016, 8315, 12602, 2407, 5016, 8315, 32771, 13546, 8315, 2423, 47283, 2655, 3555, 9640, 11778, 17082, 16572, 37037, 15730, 32239, 3794, 20666, 11242, 2288, 13063, 3660], "avg_logprob": -0.191814358665872, "compression_ratio": 1.9015748031496063, "no_speech_prob": 0.0, "words": [{"start": 421.92, "end": 422.14, "word": "و", "probability": 0.33447265625}, {"start": 422.14, "end": 422.46, "word": " لسه", "probability": 0.716552734375}, {"start": 422.46, "end": 422.68, "word": " باك", "probability": 0.4990234375}, {"start": 422.68, "end": 423.04, "word": " تبحث", "probability": 0.9755859375}, {"start": 423.04, "end": 423.72, "word": " الأمور", "probability": 0.7501627604166666}, {"start": 423.72, "end": 424.38, "word": " التلادة", "probability": 0.70166015625}, {"start": 424.38, "end": 424.9, "word": " طب", "probability": 0.71533203125}, {"start": 424.9, "end": 425.74, "word": " ليش؟", "probability": 0.9532877604166666}, {"start": 425.74, "end": 426.36, "word": " غير", "probability": 0.86083984375}, {"start": 426.36, "end": 426.54, "word": " ال", "probability": 0.93896484375}, {"start": 426.54, "end": 426.74, "word": " series", "probability": 0.84326171875}, {"start": 426.74, "end": 427.36, "word": " سابعتك", "probability": 0.74285888671875}, {"start": 427.36, "end": 427.64, "word": " يعني", "probability": 0.852783203125}, {"start": 427.64, "end": 427.9, "word": " هي", "probability": 0.2083740234375}, {"start": 427.9, "end": 428.42, "word": " القرآن", "probability": 0.8162841796875}, {"start": 428.42, "end": 428.88, "word": " نزل", "probability": 0.9069010416666666}, {"start": 428.88, "end": 429.06, "word": " من", "probability": 0.97998046875}, {"start": 429.06, "end": 429.6, "word": " السماء", "probability": 0.8893229166666666}, {"start": 429.6, "end": 429.82, "word": " غير", "probability": 0.968994140625}, {"start": 429.82, "end": 430.3, "word": " summation", "probability": 0.56591796875}, {"start": 430.3, "end": 430.54, "word": " 1", "probability": 0.310302734375}, {"start": 430.54, "end": 430.86, "word": " على", "probability": 0.42578125}, {"start": 430.86, "end": 431.14, "word": " M", "probability": 0.6865234375}, {"start": 431.14, "end": 432.06, "word": " ليس", "probability": 0.748779296875}, {"start": 432.06, "end": 432.7, "word": " بالضرورة", "probability": 0.96875}, {"start": 432.7, "end": 432.96, "word": " يعني", "probability": 0.870361328125}, {"start": 432.96, "end": 433.24, "word": " انت", "probability": 0.7626953125}, {"start": 433.24, "end": 433.62, "word": " ممكن", "probability": 0.99267578125}, {"start": 433.62, "end": 434.2, "word": " تختار", "probability": 0.9969075520833334}, {"start": 434.2, "end": 434.7, "word": " series", "probability": 0.923828125}, {"start": 434.7, "end": 435.2, "word": " و", "probability": 0.982421875}, {"start": 435.2, "end": 435.7, "word": " يكون", "probability": 0.80615234375}, {"start": 435.7, "end": 436.12, "word": " هذا", "probability": 0.96923828125}, {"start": 436.12, "end": 437.12, "word": " الاختيار", "probability": 0.8839111328125}, {"start": 437.12, "end": 437.82, "word": " خاطئ", "probability": 0.93798828125}, {"start": 437.82, "end": 439.04, "word": " تضطر", "probability": 0.9300537109375}, {"start": 439.04, "end": 439.46, "word": " إلى", "probability": 0.68359375}, {"start": 439.46, "end": 440.12, "word": " تغيير", "probability": 0.9208984375}, {"start": 440.12, "end": 440.26, "word": " ال", "probability": 0.984375}, {"start": 440.26, "end": 440.58, "word": " series", "probability": 0.9580078125}, {"start": 440.58, "end": 440.9, "word": " اللي", "probability": 0.8671875}, {"start": 440.9, "end": 441.36, "word": " عندك", "probability": 0.9873046875}, {"start": 441.36, "end": 441.58, "word": " و", "probability": 0.97216796875}, {"start": 441.58, "end": 442.1, "word": " ليس", "probability": 0.9326171875}, {"start": 442.1, "end": 442.38, "word": " إلى", "probability": 0.6611328125}, {"start": 442.38, "end": 442.86, "word": " تغيير", "probability": 0.947265625}, {"start": 442.86, "end": 443.52, "word": " الاختبار", "probability": 0.91396484375}, {"start": 443.52, "end": 444.4, "word": " احنا", "probability": 0.9558919270833334}, {"start": 444.4, "end": 444.74, "word": " روحنا", "probability": 0.935302734375}, {"start": 444.74, "end": 445.2, "word": " غيرنا", "probability": 0.9366861979166666}, {"start": 445.2, "end": 445.7, "word": " الاختبار", "probability": 0.9779296875}, {"start": 445.7, "end": 446.06, "word": " دغري", "probability": 0.705078125}, {"start": 446.06, "end": 446.54, "word": " وهذا", "probability": 0.757568359375}, {"start": 446.54, "end": 447.0, "word": " ليس", "probability": 0.983642578125}, {"start": 447.0, "end": 447.84, "word": " بالضرورة", "probability": 0.995703125}], "temperature": 1.0}, {"id": 22, "seek": 46419, "start": 448.13, "end": 464.19, "text": "طيب بدل واحد على ان تربية لو جربت واحد على ان تربية ايش بيصير يعني نجرب واحد على ان تربية يبقى هنا باجي بقوله ان ال summation واحد على ان تربية يبقى هذي convert P series", "tokens": [9566, 1829, 3555, 47525, 1211, 36764, 24401, 15844, 16472, 6055, 25513, 10632, 45164, 10874, 25513, 2655, 36764, 24401, 15844, 16472, 6055, 25513, 10632, 1975, 1829, 8592, 4724, 1829, 9381, 13546, 37495, 22653, 8717, 7435, 25513, 36764, 24401, 15844, 16472, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 34105, 4724, 26108, 1829, 4724, 39648, 3224, 16472, 2423, 28811, 36764, 24401, 15844, 16472, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 8032, 8848, 1829, 7620, 430, 2638], "avg_logprob": -0.2504222827988702, "compression_ratio": 1.9444444444444444, "no_speech_prob": 0.0, "words": [{"start": 448.13, "end": 448.53, "word": "طيب", "probability": 0.6255391438802084}, {"start": 448.53, "end": 448.89, "word": " بدل", "probability": 0.786865234375}, {"start": 448.89, "end": 449.25, "word": " واحد", "probability": 0.7724609375}, {"start": 449.25, "end": 449.43, "word": " على", "probability": 0.685546875}, {"start": 449.43, "end": 449.55, "word": " ان", "probability": 0.5986328125}, {"start": 449.55, "end": 449.55, "word": " تربية", "probability": 0.5980631510416666}, {"start": 449.55, "end": 449.73, "word": " لو", "probability": 0.452880859375}, {"start": 449.73, "end": 450.25, "word": " جربت", "probability": 0.9597981770833334}, {"start": 450.25, "end": 450.55, "word": " واحد", "probability": 0.972900390625}, {"start": 450.55, "end": 450.69, "word": " على", "probability": 0.89404296875}, {"start": 450.69, "end": 450.93, "word": " ان", "probability": 0.90625}, {"start": 450.93, "end": 451.25, "word": " تربية", "probability": 0.9482421875}, {"start": 451.25, "end": 451.43, "word": " ايش", "probability": 0.7225748697916666}, {"start": 451.43, "end": 451.77, "word": " بيصير", "probability": 0.776123046875}, {"start": 451.77, "end": 452.09, "word": " يعني", "probability": 0.818115234375}, {"start": 452.09, "end": 453.17, "word": " نجرب", "probability": 0.7723795572916666}, {"start": 453.17, "end": 453.55, "word": " واحد", "probability": 0.977783203125}, {"start": 453.55, "end": 453.71, "word": " على", "probability": 0.93310546875}, {"start": 453.71, "end": 453.97, "word": " ان", "probability": 0.95458984375}, {"start": 453.97, "end": 454.41, "word": " تربية", "probability": 0.97021484375}, {"start": 454.41, "end": 455.35, "word": " يبقى", "probability": 0.959716796875}, {"start": 455.35, "end": 455.59, "word": " هنا", "probability": 0.93115234375}, {"start": 455.59, "end": 455.99, "word": " باجي", "probability": 0.8727213541666666}, {"start": 455.99, "end": 456.47, "word": " بقوله", "probability": 0.7556966145833334}, {"start": 456.47, "end": 456.77, "word": " ان", "probability": 0.66015625}, {"start": 456.77, "end": 457.03, "word": " ال", "probability": 0.7548828125}, {"start": 457.03, "end": 457.81, "word": " summation", "probability": 0.91552734375}, {"start": 457.81, "end": 458.99, "word": " واحد", "probability": 0.942138671875}, {"start": 458.99, "end": 459.27, "word": " على", "probability": 0.92236328125}, {"start": 459.27, "end": 459.67, "word": " ان", "probability": 0.96630859375}, {"start": 459.67, "end": 460.29, "word": " تربية", "probability": 0.974609375}, {"start": 460.29, "end": 461.13, "word": " يبقى", "probability": 0.98193359375}, {"start": 461.13, "end": 461.61, "word": " هذي", "probability": 0.6350911458333334}, {"start": 461.61, "end": 462.33, "word": " convert", "probability": 0.78515625}, {"start": 462.33, "end": 463.49, "word": " P", "probability": 0.69091796875}, {"start": 463.49, "end": 464.19, "word": " series", "probability": 0.76708984375}], "temperature": 1.0}, {"id": 23, "seek": 49134, "start": 465.58, "end": 491.34, "text": "بسبب ان P يساوي اتنين اكبر من الواحد الصحيح اذا اذا انا اخد limit لما N تنزل لإنفينيتي لمن؟ لما N تنزل لإنفينيتي لواحد ناقص cosine واحد على N على واحد على N تربيع", "tokens": [3555, 35457, 3555, 16472, 430, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 1975, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 1975, 15730, 1975, 15730, 1975, 8315, 1975, 9778, 3215, 4948, 5296, 15042, 426, 6055, 1863, 11622, 1211, 5296, 28814, 1863, 5172, 9957, 1829, 31371, 5296, 27842, 22807, 5296, 15042, 426, 6055, 1863, 11622, 1211, 5296, 28814, 1863, 5172, 9957, 1829, 31371, 5296, 14407, 24401, 8717, 995, 4587, 9381, 23565, 36764, 24401, 15844, 426, 15844, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615], "avg_logprob": -0.35416667351777525, "compression_ratio": 1.8092105263157894, "no_speech_prob": 0.0, "words": [{"start": 465.58, "end": 466.56, "word": "بسبب", "probability": 0.6665852864583334}, {"start": 466.56, "end": 467.3, "word": " ان", "probability": 0.346923828125}, {"start": 467.3, "end": 467.94, "word": " P", "probability": 0.74462890625}, {"start": 467.94, "end": 469.4, "word": " يساوي", "probability": 0.6881256103515625}, {"start": 469.4, "end": 470.5, "word": " اتنين", "probability": 0.79949951171875}, {"start": 470.5, "end": 471.2, "word": " اكبر", "probability": 0.9182942708333334}, {"start": 471.2, "end": 471.42, "word": " من", "probability": 0.97900390625}, {"start": 471.42, "end": 471.94, "word": " الواحد", "probability": 0.8914388020833334}, {"start": 471.94, "end": 472.54, "word": " الصحيح", "probability": 0.939697265625}, {"start": 472.54, "end": 473.24, "word": " اذا", "probability": 0.6463623046875}, {"start": 473.24, "end": 473.42, "word": " اذا", "probability": 0.26422119140625}, {"start": 473.42, "end": 473.58, "word": " انا", "probability": 0.4832763671875}, {"start": 473.58, "end": 474.04, "word": " اخد", "probability": 0.6075846354166666}, {"start": 474.04, "end": 474.64, "word": " limit", "probability": 0.218017578125}, {"start": 474.64, "end": 475.72, "word": " لما", "probability": 0.7015380859375}, {"start": 475.72, "end": 476.14, "word": " N", "probability": 0.56884765625}, {"start": 476.14, "end": 476.86, "word": " تنزل", "probability": 0.475738525390625}, {"start": 476.86, "end": 478.0, "word": " لإنفينيتي", "probability": 0.6112758091517857}, {"start": 478.0, "end": 479.78, "word": " لمن؟", "probability": 0.5321451822916666}, {"start": 479.78, "end": 482.14, "word": " لما", "probability": 0.92431640625}, {"start": 482.14, "end": 482.38, "word": " N", "probability": 0.92138671875}, {"start": 482.38, "end": 482.72, "word": " تنزل", "probability": 0.9879150390625}, {"start": 482.72, "end": 483.46, "word": " لإنفينيتي", "probability": 0.95751953125}, {"start": 483.46, "end": 484.4, "word": " لواحد", "probability": 0.8515625}, {"start": 484.4, "end": 485.04, "word": " ناقص", "probability": 0.97412109375}, {"start": 485.04, "end": 485.58, "word": " cosine", "probability": 0.27587890625}, {"start": 485.58, "end": 486.18, "word": " واحد", "probability": 0.948974609375}, {"start": 486.18, "end": 486.48, "word": " على", "probability": 0.70654296875}, {"start": 486.48, "end": 486.96, "word": " N", "probability": 0.904296875}, {"start": 486.96, "end": 487.86, "word": " على", "probability": 0.72705078125}, {"start": 487.86, "end": 488.9, "word": " واحد", "probability": 0.977783203125}, {"start": 488.9, "end": 489.7, "word": " على", "probability": 0.83544921875}, {"start": 489.7, "end": 490.32, "word": " N", "probability": 0.8544921875}, {"start": 490.32, "end": 491.34, "word": " تربيع", "probability": 0.789306640625}], "temperature": 1.0}, {"id": 24, "seek": 51641, "start": 494.69, "end": 516.41, "text": "التعويض المباشر بيجيب لي 0 على 0 إذا مشتقت البصد على مشتقت المقام يبقى لو جينا اشتقنا البصد high limit لما ال N tends to infinity تمام اللي لما تفضل واحد بزيرو تفضل كساين بسالب ساين مع سالب بيصير موجب ساين واحد على N", "tokens": [6027, 2655, 3615, 45865, 11242, 9673, 3555, 33599, 2288, 4724, 1829, 7435, 1829, 3555, 32239, 1958, 15844, 1958, 11933, 15730, 37893, 2655, 38149, 29739, 9381, 3215, 15844, 37893, 2655, 38149, 9673, 4587, 10943, 7251, 3555, 4587, 7578, 45164, 10874, 1829, 8315, 1975, 8592, 2655, 4587, 8315, 29739, 9381, 3215, 1090, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 46811, 10943, 13672, 1829, 5296, 15042, 6055, 5172, 11242, 1211, 36764, 24401, 4724, 11622, 1829, 32887, 6055, 5172, 11242, 1211, 9122, 3794, 995, 9957, 4724, 3794, 6027, 3555, 8608, 995, 9957, 20449, 8608, 6027, 3555, 4724, 1829, 9381, 13546, 3714, 29245, 3555, 8608, 995, 9957, 36764, 24401, 15844, 426], "avg_logprob": -0.3217592716768936, "compression_ratio": 1.7960199004975124, "no_speech_prob": 0.0, "words": [{"start": 494.69, "end": 495.13, "word": "التعويض", "probability": 0.7174560546875}, {"start": 495.13, "end": 495.67, "word": " المباشر", "probability": 0.903564453125}, {"start": 495.67, "end": 496.01, "word": " بيجيب", "probability": 0.78544921875}, {"start": 496.01, "end": 496.13, "word": " لي", "probability": 0.42333984375}, {"start": 496.13, "end": 496.49, "word": " 0", "probability": 0.2744140625}, {"start": 496.49, "end": 496.77, "word": " على", "probability": 0.69677734375}, {"start": 496.77, "end": 497.25, "word": " 0", "probability": 0.90185546875}, {"start": 497.25, "end": 497.69, "word": " إذا", "probability": 0.547119140625}, {"start": 497.69, "end": 498.33, "word": " مشتقت", "probability": 0.8533528645833334}, {"start": 498.33, "end": 498.77, "word": " البصد", "probability": 0.4774576822916667}, {"start": 498.77, "end": 498.95, "word": " على", "probability": 0.72802734375}, {"start": 498.95, "end": 499.71, "word": " مشتقت", "probability": 0.9602864583333334}, {"start": 499.71, "end": 501.01, "word": " المقام", "probability": 0.966796875}, {"start": 501.01, "end": 501.37, "word": " يبقى", "probability": 0.9039306640625}, {"start": 501.37, "end": 501.57, "word": " لو", "probability": 0.494873046875}, {"start": 501.57, "end": 501.93, "word": " جينا", "probability": 0.9484049479166666}, {"start": 501.93, "end": 502.73, "word": " اشتقنا", "probability": 0.824658203125}, {"start": 502.73, "end": 503.31, "word": " البصد", "probability": 0.9640299479166666}, {"start": 503.31, "end": 503.55, "word": " high", "probability": 0.402587890625}, {"start": 503.55, "end": 504.11, "word": " limit", "probability": 0.96875}, {"start": 504.11, "end": 504.91, "word": " لما", "probability": 0.836669921875}, {"start": 504.91, "end": 505.13, "word": " ال", "probability": 0.93017578125}, {"start": 505.13, "end": 505.39, "word": " N", "probability": 0.407470703125}, {"start": 505.39, "end": 505.89, "word": " tends", "probability": 0.7529296875}, {"start": 505.89, "end": 506.13, "word": " to", "probability": 0.91015625}, {"start": 506.13, "end": 507.03, "word": " infinity", "probability": 0.82470703125}, {"start": 507.03, "end": 507.99, "word": " تمام", "probability": 0.61444091796875}, {"start": 507.99, "end": 508.75, "word": " اللي", "probability": 0.5843505859375}, {"start": 508.75, "end": 508.91, "word": " لما", "probability": 0.5789794921875}, {"start": 508.91, "end": 509.33, "word": " تفضل", "probability": 0.79229736328125}, {"start": 509.33, "end": 509.49, "word": " واحد", "probability": 0.72119140625}, {"start": 509.49, "end": 509.81, "word": " بزيرو", "probability": 0.545166015625}, {"start": 509.81, "end": 510.19, "word": " تفضل", "probability": 0.9388427734375}, {"start": 510.19, "end": 510.57, "word": " كساين", "probability": 0.59423828125}, {"start": 510.57, "end": 511.43, "word": " بسالب", "probability": 0.9217529296875}, {"start": 511.43, "end": 511.77, "word": " ساين", "probability": 0.7620442708333334}, {"start": 511.77, "end": 511.95, "word": " مع", "probability": 0.97802734375}, {"start": 511.95, "end": 512.39, "word": " سالب", "probability": 0.9788411458333334}, {"start": 512.39, "end": 512.93, "word": " بيصير", "probability": 0.927490234375}, {"start": 512.93, "end": 513.63, "word": " موجب", "probability": 0.9493815104166666}, {"start": 513.63, "end": 514.77, "word": " ساين", "probability": 0.7455240885416666}, {"start": 514.77, "end": 515.67, "word": " واحد", "probability": 0.896240234375}, {"start": 515.67, "end": 516.01, "word": " على", "probability": 0.833984375}, {"start": 516.01, "end": 516.41, "word": " N", "probability": 0.76708984375}], "temperature": 1.0}, {"id": 25, "seek": 52579, "start": 516.56, "end": 525.8, "text": "في تفاضل الزاوية سالب واحد على انت ربيع وهنا سالب اتنين على انت كيب", "tokens": [41185, 6055, 5172, 46958, 1211, 6024, 110, 995, 2407, 10632, 8608, 6027, 3555, 36764, 24401, 15844, 16472, 2655, 12602, 21292, 3615, 37037, 8315, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 15844, 16472, 2655, 9122, 1829, 3555], "avg_logprob": -0.12605574807605227, "compression_ratio": 1.3908045977011494, "no_speech_prob": 0.0, "words": [{"start": 516.56, "end": 516.92, "word": "في", "probability": 0.70703125}, {"start": 516.92, "end": 517.62, "word": " تفاضل", "probability": 0.9625244140625}, {"start": 517.62, "end": 518.28, "word": " الزاوية", "probability": 0.949609375}, {"start": 518.28, "end": 518.92, "word": " سالب", "probability": 0.7703450520833334}, {"start": 518.92, "end": 519.44, "word": " واحد", "probability": 0.97998046875}, {"start": 519.44, "end": 519.82, "word": " على", "probability": 0.8134765625}, {"start": 519.82, "end": 520.48, "word": " انت", "probability": 0.738525390625}, {"start": 520.48, "end": 521.0, "word": " ربيع", "probability": 0.8860677083333334}, {"start": 521.0, "end": 521.82, "word": " وهنا", "probability": 0.73095703125}, {"start": 521.82, "end": 522.58, "word": " سالب", "probability": 0.9567057291666666}, {"start": 522.58, "end": 523.54, "word": " اتنين", "probability": 0.97607421875}, {"start": 523.54, "end": 524.22, "word": " على", "probability": 0.88427734375}, {"start": 524.22, "end": 525.22, "word": " انت", "probability": 0.90869140625}, {"start": 525.22, "end": 525.8, "word": " كيب", "probability": 0.8497721354166666}], "temperature": 1.0}, {"id": 26, "seek": 55515, "start": 527.79, "end": 555.15, "text": "بنختصر سالب واحد على N تربيع مع سالب واحد على N تربيع بيظل في المقام اتنين على N يعني صارت المسألة هي ال limit لما ال N tends to infinity لل sign واحد على N على اتنين على N سالب مع سالب واحد على N تربيع مع واحد على N تربيع يبقى صارت المسألة بهذا الشكل", "tokens": [3555, 1863, 46456, 9381, 2288, 8608, 6027, 3555, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615, 20449, 8608, 6027, 3555, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615, 4724, 1829, 19913, 1211, 8978, 9673, 4587, 10943, 1975, 2655, 1863, 9957, 15844, 426, 37495, 22653, 20328, 9640, 2655, 9673, 3794, 10721, 37977, 39896, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 24976, 1465, 36764, 24401, 15844, 426, 15844, 1975, 2655, 1863, 9957, 15844, 426, 8608, 6027, 3555, 20449, 8608, 6027, 3555, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615, 20449, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 20328, 9640, 2655, 9673, 3794, 10721, 37977, 39627, 15730, 25124, 28820], "avg_logprob": -0.1602247820088738, "compression_ratio": 2.292817679558011, "no_speech_prob": 0.0, "words": [{"start": 527.7900000000001, "end": 528.69, "word": "بنختصر", "probability": 0.91669921875}, {"start": 528.69, "end": 529.45, "word": " سالب", "probability": 0.6420491536458334}, {"start": 529.45, "end": 529.83, "word": " واحد", "probability": 0.938232421875}, {"start": 529.83, "end": 530.07, "word": " على", "probability": 0.71533203125}, {"start": 530.07, "end": 530.29, "word": " N", "probability": 0.2169189453125}, {"start": 530.29, "end": 530.91, "word": " تربيع", "probability": 0.7843017578125}, {"start": 530.91, "end": 531.59, "word": " مع", "probability": 0.8896484375}, {"start": 531.59, "end": 532.19, "word": " سالب", "probability": 0.9495442708333334}, {"start": 532.19, "end": 532.59, "word": " واحد", "probability": 0.98388671875}, {"start": 532.59, "end": 532.79, "word": " على", "probability": 0.9365234375}, {"start": 532.79, "end": 533.01, "word": " N", "probability": 0.9638671875}, {"start": 533.01, "end": 533.37, "word": " تربيع", "probability": 0.9298095703125}, {"start": 533.37, "end": 533.71, "word": " بيظل", "probability": 0.55401611328125}, {"start": 533.71, "end": 533.85, "word": " في", "probability": 0.81689453125}, {"start": 533.85, "end": 534.39, "word": " المقام", "probability": 0.9768880208333334}, {"start": 534.39, "end": 535.35, "word": " اتنين", "probability": 0.8673095703125}, {"start": 535.35, "end": 535.81, "word": " على", "probability": 0.87890625}, {"start": 535.81, "end": 536.39, "word": " N", "probability": 0.935546875}, {"start": 536.39, "end": 537.41, "word": " يعني", "probability": 0.891845703125}, {"start": 537.41, "end": 537.97, "word": " صارت", "probability": 0.7815755208333334}, {"start": 537.97, "end": 538.81, "word": " المسألة", "probability": 0.9705810546875}, {"start": 538.81, "end": 539.13, "word": " هي", "probability": 0.900390625}, {"start": 539.13, "end": 539.33, "word": " ال", "probability": 0.68994140625}, {"start": 539.33, "end": 539.71, "word": " limit", "probability": 0.86572265625}, {"start": 539.71, "end": 540.53, "word": " لما", "probability": 0.9150390625}, {"start": 540.53, "end": 540.75, "word": " ال", "probability": 0.9794921875}, {"start": 540.75, "end": 541.07, "word": " N", "probability": 0.79248046875}, {"start": 541.07, "end": 541.45, "word": " tends", "probability": 0.42236328125}, {"start": 541.45, "end": 541.69, "word": " to", "probability": 0.904296875}, {"start": 541.69, "end": 542.51, "word": " infinity", "probability": 0.85791015625}, {"start": 542.51, "end": 543.53, "word": " لل", "probability": 0.69873046875}, {"start": 543.53, "end": 544.07, "word": " sign", "probability": 0.685546875}, {"start": 544.07, "end": 544.83, "word": " واحد", "probability": 0.96142578125}, {"start": 544.83, "end": 545.27, "word": " على", "probability": 0.92578125}, {"start": 545.27, "end": 545.83, "word": " N", "probability": 0.935546875}, {"start": 545.83, "end": 546.71, "word": " على", "probability": 0.7724609375}, {"start": 546.71, "end": 547.97, "word": " اتنين", "probability": 0.9815673828125}, {"start": 547.97, "end": 548.33, "word": " على", "probability": 0.91796875}, {"start": 548.33, "end": 548.67, "word": " N", "probability": 0.99169921875}, {"start": 548.67, "end": 549.27, "word": " سالب", "probability": 0.94677734375}, {"start": 549.27, "end": 549.45, "word": " مع", "probability": 0.9765625}, {"start": 549.45, "end": 549.95, "word": " سالب", "probability": 0.9895833333333334}, {"start": 549.95, "end": 550.33, "word": " واحد", "probability": 0.56842041015625}, {"start": 550.33, "end": 550.45, "word": " على", "probability": 0.875}, {"start": 550.45, "end": 550.65, "word": " N", "probability": 0.96435546875}, {"start": 550.65, "end": 550.97, "word": " تربيع", "probability": 0.9520263671875}, {"start": 550.97, "end": 551.13, "word": " مع", "probability": 0.94189453125}, {"start": 551.13, "end": 551.41, "word": " واحد", "probability": 0.97607421875}, {"start": 551.41, "end": 551.55, "word": " على", "probability": 0.94580078125}, {"start": 551.55, "end": 551.75, "word": " N", "probability": 0.9921875}, {"start": 551.75, "end": 552.25, "word": " تربيع", "probability": 0.9722900390625}, {"start": 552.25, "end": 553.03, "word": " يبقى", "probability": 0.88916015625}, {"start": 553.03, "end": 553.51, "word": " صارت", "probability": 0.92041015625}, {"start": 553.51, "end": 554.05, "word": " المسألة", "probability": 0.9857177734375}, {"start": 554.05, "end": 554.67, "word": " بهذا", "probability": 0.958740234375}, {"start": 554.67, "end": 555.15, "word": " الشكل", "probability": 0.989990234375}], "temperature": 1.0}, {"id": 27, "seek": 58105, "start": 555.74, "end": 581.06, "text": "تعود المباشر بيجيب لقداشر Zero على Zero يبقى Lobital كمان مرة يبقى هادي بدها ساوي هيفوت limit لما ال in tends to infinity لمشتقة البسط بكوسين واحد على in في مشتقة الزاوية بسالب واحد على in تربية وسالب اتنين على in تربية", "tokens": [2655, 3615, 23328, 9673, 3555, 33599, 2288, 4724, 1829, 7435, 1829, 3555, 5296, 28543, 33599, 2288, 17182, 15844, 17182, 7251, 3555, 4587, 7578, 30719, 1686, 9122, 2304, 7649, 3714, 25720, 7251, 3555, 4587, 7578, 8032, 995, 16254, 47525, 11296, 8608, 995, 45865, 39896, 5172, 35473, 4948, 5296, 15042, 2423, 294, 12258, 281, 13202, 32767, 8592, 2655, 28671, 29739, 3794, 9566, 4724, 4117, 41779, 9957, 36764, 24401, 15844, 294, 8978, 37893, 2655, 28671, 6024, 110, 995, 2407, 10632, 4724, 3794, 6027, 3555, 36764, 24401, 15844, 294, 6055, 25513, 10632, 46952, 6027, 3555, 1975, 2655, 1863, 9957, 15844, 294, 6055, 25513, 10632], "avg_logprob": -0.31930692125074933, "compression_ratio": 1.7184466019417475, "no_speech_prob": 0.0, "words": [{"start": 555.74, "end": 556.16, "word": "تعود", "probability": 0.6526285807291666}, {"start": 556.16, "end": 556.76, "word": " المباشر", "probability": 0.9501953125}, {"start": 556.76, "end": 557.2, "word": " بيجيب", "probability": 0.67958984375}, {"start": 557.2, "end": 558.04, "word": " لقداشر", "probability": 0.64215087890625}, {"start": 558.04, "end": 558.94, "word": " Zero", "probability": 0.2015380859375}, {"start": 558.94, "end": 559.2, "word": " على", "probability": 0.7607421875}, {"start": 559.2, "end": 559.52, "word": " Zero", "probability": 0.77880859375}, {"start": 559.52, "end": 559.78, "word": " يبقى", "probability": 0.759246826171875}, {"start": 559.78, "end": 560.48, "word": " Lobital", "probability": 0.53179931640625}, {"start": 560.48, "end": 560.98, "word": " كمان", "probability": 0.880859375}, {"start": 560.98, "end": 561.48, "word": " مرة", "probability": 0.98828125}, {"start": 561.48, "end": 562.36, "word": " يبقى", "probability": 0.9674072265625}, {"start": 562.36, "end": 562.72, "word": " هادي", "probability": 0.5235188802083334}, {"start": 562.72, "end": 563.12, "word": " بدها", "probability": 0.6058349609375}, {"start": 563.12, "end": 563.8, "word": " ساوي", "probability": 0.7754720052083334}, {"start": 563.8, "end": 564.82, "word": " هيفوت", "probability": 0.3485514322916667}, {"start": 564.82, "end": 565.92, "word": " limit", "probability": 0.65966796875}, {"start": 565.92, "end": 566.6, "word": " لما", "probability": 0.91748046875}, {"start": 566.6, "end": 566.82, "word": " ال", "probability": 0.95947265625}, {"start": 566.82, "end": 567.06, "word": " in", "probability": 0.136474609375}, {"start": 567.06, "end": 567.48, "word": " tends", "probability": 0.71142578125}, {"start": 567.48, "end": 567.64, "word": " to", "probability": 0.8818359375}, {"start": 567.64, "end": 568.3, "word": " infinity", "probability": 0.84814453125}, {"start": 568.3, "end": 569.64, "word": " لمشتقة", "probability": 0.93505859375}, {"start": 569.64, "end": 570.24, "word": " البسط", "probability": 0.79833984375}, {"start": 570.24, "end": 571.24, "word": " بكوسين", "probability": 0.57122802734375}, {"start": 571.24, "end": 571.92, "word": " واحد", "probability": 0.943359375}, {"start": 571.92, "end": 572.32, "word": " على", "probability": 0.90478515625}, {"start": 572.32, "end": 572.78, "word": " in", "probability": 0.82373046875}, {"start": 572.78, "end": 573.36, "word": " في", "probability": 0.81787109375}, {"start": 573.36, "end": 574.1, "word": " مشتقة", "probability": 0.9742838541666666}, {"start": 574.1, "end": 574.88, "word": " الزاوية", "probability": 0.9748046875}, {"start": 574.88, "end": 575.54, "word": " بسالب", "probability": 0.886474609375}, {"start": 575.54, "end": 576.02, "word": " واحد", "probability": 0.97265625}, {"start": 576.02, "end": 576.38, "word": " على", "probability": 0.92822265625}, {"start": 576.38, "end": 576.8, "word": " in", "probability": 0.5517578125}, {"start": 576.8, "end": 577.32, "word": " تربية", "probability": 0.8486328125}, {"start": 577.32, "end": 578.48, "word": " وسالب", "probability": 0.8330078125}, {"start": 578.48, "end": 579.22, "word": " اتنين", "probability": 0.97607421875}, {"start": 579.22, "end": 579.7, "word": " على", "probability": 0.93359375}, {"start": 579.7, "end": 580.48, "word": " in", "probability": 0.912109375}, {"start": 580.48, "end": 581.06, "word": " تربية", "probability": 0.9734700520833334}], "temperature": 1.0}, {"id": 28, "seek": 59863, "start": 581.61, "end": 598.63, "text": "مقدار ثابت 1 على N بـ-1 على N تربية المشتقة تبعتها سالب واحد على N تربية مع سالب واحد على N تربية بيبقى عندي النص في limit لما ال N tends to infinity لكوسين واحد على N", "tokens": [2304, 28543, 9640, 38637, 16758, 2655, 502, 15844, 426, 4724, 39184, 12, 16, 15844, 426, 6055, 25513, 10632, 9673, 8592, 2655, 28671, 6055, 3555, 34268, 11296, 8608, 6027, 3555, 36764, 24401, 15844, 426, 6055, 25513, 10632, 20449, 8608, 6027, 3555, 36764, 24401, 15844, 426, 6055, 25513, 10632, 4724, 1829, 3555, 4587, 7578, 18871, 16254, 28239, 9381, 8978, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 4117, 2407, 3794, 9957, 36764, 24401, 15844, 426], "avg_logprob": -0.3197916809717814, "compression_ratio": 1.713375796178344, "no_speech_prob": 0.0, "words": [{"start": 581.61, "end": 582.47, "word": "مقدار", "probability": 0.5167643229166666}, {"start": 582.47, "end": 582.97, "word": " ثابت", "probability": 0.7854817708333334}, {"start": 582.97, "end": 583.27, "word": " 1", "probability": 0.310302734375}, {"start": 583.27, "end": 583.59, "word": " على", "probability": 0.1512451171875}, {"start": 583.59, "end": 583.77, "word": " N", "probability": 0.43603515625}, {"start": 583.77, "end": 584.03, "word": " بـ", "probability": 0.552978515625}, {"start": 584.03, "end": 584.41, "word": "-1", "probability": 0.4129638671875}, {"start": 584.41, "end": 584.67, "word": " على", "probability": 0.86181640625}, {"start": 584.67, "end": 584.83, "word": " N", "probability": 0.93701171875}, {"start": 584.83, "end": 585.19, "word": " تربية", "probability": 0.8019205729166666}, {"start": 585.19, "end": 585.79, "word": " المشتقة", "probability": 0.873291015625}, {"start": 585.79, "end": 586.47, "word": " تبعتها", "probability": 0.8404541015625}, {"start": 586.47, "end": 587.53, "word": " سالب", "probability": 0.6582845052083334}, {"start": 587.53, "end": 587.87, "word": " واحد", "probability": 0.7344970703125}, {"start": 587.87, "end": 588.05, "word": " على", "probability": 0.87451171875}, {"start": 588.05, "end": 588.29, "word": " N", "probability": 0.87646484375}, {"start": 588.29, "end": 588.75, "word": " تربية", "probability": 0.9698893229166666}, {"start": 588.75, "end": 588.99, "word": " مع", "probability": 0.9326171875}, {"start": 588.99, "end": 589.49, "word": " سالب", "probability": 0.9366861979166666}, {"start": 589.49, "end": 589.89, "word": " واحد", "probability": 0.977294921875}, {"start": 589.89, "end": 590.11, "word": " على", "probability": 0.9111328125}, {"start": 590.11, "end": 590.43, "word": " N", "probability": 0.978515625}, {"start": 590.43, "end": 590.85, "word": " تربية", "probability": 0.9781901041666666}, {"start": 590.85, "end": 591.17, "word": " بيبقى", "probability": 0.785986328125}, {"start": 591.17, "end": 591.59, "word": " عندي", "probability": 0.60284423828125}, {"start": 591.59, "end": 592.37, "word": " النص", "probability": 0.72607421875}, {"start": 592.37, "end": 593.05, "word": " في", "probability": 0.7998046875}, {"start": 593.05, "end": 593.65, "word": " limit", "probability": 0.88916015625}, {"start": 593.65, "end": 594.41, "word": " لما", "probability": 0.861083984375}, {"start": 594.41, "end": 594.59, "word": " ال", "probability": 0.93798828125}, {"start": 594.59, "end": 594.93, "word": " N", "probability": 0.611328125}, {"start": 594.93, "end": 595.25, "word": " tends", "probability": 0.50830078125}, {"start": 595.25, "end": 595.45, "word": " to", "probability": 0.951171875}, {"start": 595.45, "end": 596.07, "word": " infinity", "probability": 0.90087890625}, {"start": 596.07, "end": 597.31, "word": " لكوسين", "probability": 0.702734375}, {"start": 597.31, "end": 597.85, "word": " واحد", "probability": 0.913818359375}, {"start": 597.85, "end": 598.21, "word": " على", "probability": 0.9140625}, {"start": 598.21, "end": 598.63, "word": " N", "probability": 0.74560546875}], "temperature": 1.0}, {"id": 29, "seek": 62034, "start": 599.16, "end": 620.34, "text": "يبقى هذا الكلام يساوي نص كوصين صفر بقداش بواحد يبقى الجواب يساوي نص طيب تبعت المقام هنا converge والنتيجة ساوة تمام قيمة عددية يبقى التنتين هذول زي بعض يبقى باجي بقوله باي", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 8717, 9381, 9122, 2407, 9381, 9957, 20328, 5172, 2288, 4724, 28543, 33599, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 7251, 3794, 995, 45865, 8717, 9381, 23032, 1829, 3555, 6055, 3555, 34268, 9673, 4587, 10943, 34105, 41881, 16070, 29399, 1829, 7435, 3660, 8608, 995, 2407, 3660, 46811, 10943, 12174, 32640, 3660, 6225, 3215, 3215, 10632, 7251, 3555, 4587, 7578, 16712, 29399, 9957, 8032, 8848, 12610, 30767, 1829, 45030, 11242, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 4724, 47302], "avg_logprob": -0.15340169736494622, "compression_ratio": 1.7118644067796611, "no_speech_prob": 0.0, "words": [{"start": 599.16, "end": 599.62, "word": "يبقى", "probability": 0.801513671875}, {"start": 599.62, "end": 599.9, "word": " هذا", "probability": 0.84814453125}, {"start": 599.9, "end": 600.44, "word": " الكلام", "probability": 0.9410807291666666}, {"start": 600.44, "end": 601.18, "word": " يساوي", "probability": 0.966796875}, {"start": 601.18, "end": 601.68, "word": " نص", "probability": 0.971923828125}, {"start": 601.68, "end": 602.54, "word": " كوصين", "probability": 0.5543212890625}, {"start": 602.54, "end": 602.94, "word": " صفر", "probability": 0.9480794270833334}, {"start": 602.94, "end": 603.76, "word": " بقداش", "probability": 0.84375}, {"start": 603.76, "end": 605.0, "word": " بواحد", "probability": 0.8924153645833334}, {"start": 605.0, "end": 605.58, "word": " يبقى", "probability": 0.9423828125}, {"start": 605.58, "end": 606.42, "word": " الجواب", "probability": 0.9666341145833334}, {"start": 606.42, "end": 607.42, "word": " يساوي", "probability": 0.987548828125}, {"start": 607.42, "end": 607.94, "word": " نص", "probability": 0.99658203125}, {"start": 607.94, "end": 609.08, "word": " طيب", "probability": 0.9152018229166666}, {"start": 609.08, "end": 609.62, "word": " تبعت", "probability": 0.8037109375}, {"start": 609.62, "end": 610.44, "word": " المقام", "probability": 0.9905598958333334}, {"start": 610.44, "end": 611.1, "word": " هنا", "probability": 0.9736328125}, {"start": 611.1, "end": 611.88, "word": " converge", "probability": 0.296630859375}, {"start": 611.88, "end": 613.26, "word": " والنتيجة", "probability": 0.917578125}, {"start": 613.26, "end": 613.68, "word": " ساوة", "probability": 0.7427978515625}, {"start": 613.68, "end": 614.14, "word": " تمام", "probability": 0.78662109375}, {"start": 614.14, "end": 614.92, "word": " قيمة", "probability": 0.962890625}, {"start": 614.92, "end": 615.5, "word": " عددية", "probability": 0.9583740234375}, {"start": 615.5, "end": 615.8, "word": " يبقى", "probability": 0.9837646484375}, {"start": 615.8, "end": 616.5, "word": " التنتين", "probability": 0.85205078125}, {"start": 616.5, "end": 617.12, "word": " هذول", "probability": 0.8229166666666666}, {"start": 617.12, "end": 617.48, "word": " زي", "probability": 0.9619140625}, {"start": 617.48, "end": 617.88, "word": " بعض", "probability": 0.994873046875}, {"start": 617.88, "end": 618.62, "word": " يبقى", "probability": 0.9769287109375}, {"start": 618.62, "end": 619.02, "word": " باجي", "probability": 0.9366861979166666}, {"start": 619.02, "end": 619.7, "word": " بقوله", "probability": 0.9021809895833334}, {"start": 619.7, "end": 620.34, "word": " باي", "probability": 0.5396728515625}], "temperature": 1.0}, {"id": 30, "seek": 64804, "start": 621.61, "end": 648.05, "text": "the limit comparison test the series الهي ال summation ل واحد ناقص cosine واحد على N converge طلعلي في السؤال كويس الآن بدنا نشوف مين ال series اللي حبينا نقارن معاها يلا اقترحوا علينا", "tokens": [3322, 4948, 9660, 1500, 264, 2638, 2423, 3224, 1829, 2423, 28811, 5296, 36764, 24401, 8717, 995, 4587, 9381, 23565, 36764, 24401, 15844, 426, 41881, 23032, 1211, 3615, 20292, 8978, 21136, 33604, 6027, 9122, 45865, 3794, 6024, 48506, 47525, 8315, 8717, 8592, 38688, 3714, 9957, 2423, 2638, 13672, 1829, 11331, 21292, 8315, 8717, 4587, 9640, 1863, 20449, 995, 11296, 7251, 15040, 1975, 38149, 2288, 5016, 14407, 25894, 8315], "avg_logprob": -0.30055147672400756, "compression_ratio": 1.4891304347826086, "no_speech_prob": 0.0, "words": [{"start": 621.61, "end": 622.13, "word": "the", "probability": 0.057342529296875}, {"start": 622.13, "end": 623.27, "word": " limit", "probability": 0.8740234375}, {"start": 623.27, "end": 624.31, "word": " comparison", "probability": 0.84423828125}, {"start": 624.31, "end": 625.15, "word": " test", "probability": 0.9033203125}, {"start": 625.15, "end": 625.95, "word": " the", "probability": 0.288330078125}, {"start": 625.95, "end": 627.03, "word": " series", "probability": 0.93994140625}, {"start": 627.03, "end": 628.41, "word": " الهي", "probability": 0.6220703125}, {"start": 628.41, "end": 628.45, "word": " ال", "probability": 0.2353515625}, {"start": 628.45, "end": 629.25, "word": " summation", "probability": 0.69091796875}, {"start": 629.25, "end": 630.17, "word": " ل", "probability": 0.7421875}, {"start": 630.17, "end": 630.83, "word": " واحد", "probability": 0.6246337890625}, {"start": 630.83, "end": 631.55, "word": " ناقص", "probability": 0.9481201171875}, {"start": 631.55, "end": 632.03, "word": " cosine", "probability": 0.64453125}, {"start": 632.03, "end": 632.91, "word": " واحد", "probability": 0.953369140625}, {"start": 632.91, "end": 633.19, "word": " على", "probability": 0.65869140625}, {"start": 633.19, "end": 633.69, "word": " N", "probability": 0.386474609375}, {"start": 633.69, "end": 635.53, "word": " converge", "probability": 0.7060546875}, {"start": 635.53, "end": 639.09, "word": " طلعلي", "probability": 0.69287109375}, {"start": 639.09, "end": 639.23, "word": " في", "probability": 0.80712890625}, {"start": 639.23, "end": 639.49, "word": " السؤال", "probability": 0.9847005208333334}, {"start": 639.49, "end": 640.01, "word": " كويس", "probability": 0.9851888020833334}, {"start": 640.01, "end": 642.95, "word": " الآن", "probability": 0.595458984375}, {"start": 642.95, "end": 643.23, "word": " بدنا", "probability": 0.5718994140625}, {"start": 643.23, "end": 643.57, "word": " نشوف", "probability": 0.9943033854166666}, {"start": 643.57, "end": 643.85, "word": " مين", "probability": 0.7012939453125}, {"start": 643.85, "end": 644.01, "word": " ال", "probability": 0.92822265625}, {"start": 644.01, "end": 644.51, "word": " series", "probability": 0.95361328125}, {"start": 644.51, "end": 645.25, "word": " اللي", "probability": 0.86865234375}, {"start": 645.25, "end": 645.73, "word": " حبينا", "probability": 0.8341471354166666}, {"start": 645.73, "end": 646.27, "word": " نقارن", "probability": 0.9713134765625}, {"start": 646.27, "end": 646.71, "word": " معاها", "probability": 0.8645833333333334}, {"start": 646.71, "end": 647.13, "word": " يلا", "probability": 0.65234375}, {"start": 647.13, "end": 647.61, "word": " اقترحوا", "probability": 0.9814453125}, {"start": 647.61, "end": 648.05, "word": " علينا", "probability": 0.946044921875}], "temperature": 1.0}, {"id": 31, "seek": 67238, "start": 649.1, "end": 672.38, "text": "عشان يرفع يدك ويقول لي كذا حتى نقول لك غلط يالا ايوة واحد يرفع يدي يالا يحكي اتفضل يالا ايوة نشوف ولا واحد طب انت بتحكي تاني ولا عشان قلت غلط ايوة اتفضل انت انت اللي يقولك ليش غلط", "tokens": [3615, 8592, 7649, 7251, 28480, 3615, 7251, 3215, 4117, 4032, 1829, 39648, 32239, 9122, 15730, 11331, 49975, 8717, 39648, 5296, 4117, 32771, 1211, 9566, 7251, 6027, 995, 1975, 1829, 2407, 3660, 36764, 24401, 7251, 28480, 3615, 7251, 16254, 7251, 6027, 995, 7251, 5016, 4117, 1829, 1975, 2655, 5172, 11242, 1211, 7251, 6027, 995, 1975, 1829, 2407, 3660, 8717, 8592, 38688, 49429, 36764, 24401, 23032, 3555, 16472, 2655, 39894, 5016, 4117, 1829, 6055, 7649, 1829, 49429, 6225, 8592, 7649, 12174, 1211, 2655, 32771, 1211, 9566, 1975, 1829, 2407, 3660, 1975, 2655, 5172, 11242, 1211, 16472, 2655, 16472, 2655, 13672, 1829, 7251, 39648, 4117, 32239, 8592, 32771, 1211, 9566], "avg_logprob": -0.3020833383003871, "compression_ratio": 2.051282051282051, "no_speech_prob": 0.0, "words": [{"start": 649.1, "end": 649.5, "word": "عشان", "probability": 0.5620524088541666}, {"start": 649.5, "end": 650.06, "word": " يرفع", "probability": 0.7395833333333334}, {"start": 650.06, "end": 650.36, "word": " يدك", "probability": 0.7034505208333334}, {"start": 650.36, "end": 650.64, "word": " ويقول", "probability": 0.8225911458333334}, {"start": 650.64, "end": 650.78, "word": " لي", "probability": 0.296630859375}, {"start": 650.78, "end": 651.2, "word": " كذا", "probability": 0.92236328125}, {"start": 651.2, "end": 651.72, "word": " حتى", "probability": 0.609375}, {"start": 651.72, "end": 652.0, "word": " نقول", "probability": 0.848876953125}, {"start": 652.0, "end": 652.18, "word": " لك", "probability": 0.815185546875}, {"start": 652.18, "end": 652.64, "word": " غلط", "probability": 0.98046875}, {"start": 652.64, "end": 653.16, "word": " يالا", "probability": 0.5880533854166666}, {"start": 653.16, "end": 655.0, "word": " ايوة", "probability": 0.5882568359375}, {"start": 655.0, "end": 655.3, "word": " واحد", "probability": 0.70263671875}, {"start": 655.3, "end": 655.6, "word": " يرفع", "probability": 0.9833984375}, {"start": 655.6, "end": 655.76, "word": " يدي", "probability": 0.7421875}, {"start": 655.76, "end": 656.08, "word": " يالا", "probability": 0.8019205729166666}, {"start": 656.08, "end": 656.44, "word": " يحكي", "probability": 0.874267578125}, {"start": 656.44, "end": 657.3, "word": " اتفضل", "probability": 0.88037109375}, {"start": 657.3, "end": 658.86, "word": " يالا", "probability": 0.8712565104166666}, {"start": 658.86, "end": 659.18, "word": " ايوة", "probability": 0.9276123046875}, {"start": 659.18, "end": 660.0, "word": " نشوف", "probability": 0.900390625}, {"start": 660.0, "end": 660.94, "word": " ولا", "probability": 0.853515625}, {"start": 660.94, "end": 661.44, "word": " واحد", "probability": 0.992431640625}, {"start": 661.44, "end": 661.88, "word": " طب", "probability": 0.876953125}, {"start": 661.88, "end": 662.0, "word": " انت", "probability": 0.793701171875}, {"start": 662.0, "end": 662.46, "word": " بتحكي", "probability": 0.77178955078125}, {"start": 662.46, "end": 663.74, "word": " تاني", "probability": 0.543701171875}, {"start": 663.74, "end": 664.22, "word": " ولا", "probability": 0.359619140625}, {"start": 664.22, "end": 664.54, "word": " عشان", "probability": 0.7963053385416666}, {"start": 664.54, "end": 664.86, "word": " قلت", "probability": 0.6571044921875}, {"start": 664.86, "end": 665.24, "word": " غلط", "probability": 0.9923502604166666}, {"start": 665.24, "end": 665.98, "word": " ايوة", "probability": 0.906982421875}, {"start": 665.98, "end": 666.5, "word": " اتفضل", "probability": 0.965625}, {"start": 666.5, "end": 668.54, "word": " انت", "probability": 0.6182861328125}, {"start": 668.54, "end": 668.86, "word": " انت", "probability": 0.94580078125}, {"start": 668.86, "end": 669.06, "word": " اللي", "probability": 0.760986328125}, {"start": 669.06, "end": 671.72, "word": " يقولك", "probability": 0.6448974609375}, {"start": 671.72, "end": 672.0, "word": " ليش", "probability": 0.7763671875}, {"start": 672.0, "end": 672.38, "word": " غلط", "probability": 0.9921875}], "temperature": 1.0}, {"id": 32, "seek": 69058, "start": 673.34, "end": 690.58, "text": "الان نجي مع 1 على N تربيع 1 على N تربيع convert لما نقارن معاه تطلع N تربيع فوق و N و 3 على 2 مبقال جذر ال N فلن ال N بما لنهاية يبقى فاشل الاختبار يلا", "tokens": [6027, 7649, 8717, 7435, 1829, 20449, 502, 15844, 426, 6055, 2288, 21292, 3615, 502, 15844, 426, 6055, 2288, 21292, 3615, 7620, 5296, 15042, 8717, 4587, 9640, 1863, 20449, 40294, 6055, 9566, 1211, 3615, 426, 6055, 2288, 21292, 3615, 6156, 30543, 4032, 426, 4032, 805, 15844, 568, 3714, 3555, 4587, 6027, 10874, 8848, 2288, 2423, 426, 6156, 1211, 1863, 2423, 426, 4724, 15042, 5296, 1863, 11296, 10632, 7251, 3555, 4587, 7578, 6156, 33599, 1211, 2423, 47283, 2655, 3555, 9640, 7251, 15040], "avg_logprob": -0.2501928953476894, "compression_ratio": 1.6, "no_speech_prob": 0.0, "words": [{"start": 673.34, "end": 673.74, "word": "الان", "probability": 0.61669921875}, {"start": 673.74, "end": 674.06, "word": " نجي", "probability": 0.5851643880208334}, {"start": 674.06, "end": 674.26, "word": " مع", "probability": 0.85693359375}, {"start": 674.26, "end": 674.58, "word": " 1", "probability": 0.43310546875}, {"start": 674.58, "end": 674.88, "word": " على", "probability": 0.54296875}, {"start": 674.88, "end": 675.26, "word": " N", "probability": 0.38037109375}, {"start": 675.26, "end": 675.98, "word": " تربيع", "probability": 0.7752685546875}, {"start": 675.98, "end": 676.24, "word": " 1", "probability": 0.333984375}, {"start": 676.24, "end": 676.5, "word": " على", "probability": 0.86572265625}, {"start": 676.5, "end": 676.72, "word": " N", "probability": 0.951171875}, {"start": 676.72, "end": 677.14, "word": " تربيع", "probability": 0.9559326171875}, {"start": 677.14, "end": 677.76, "word": " convert", "probability": 0.268798828125}, {"start": 677.76, "end": 678.5, "word": " لما", "probability": 0.835205078125}, {"start": 678.5, "end": 678.92, "word": " نقارن", "probability": 0.9510498046875}, {"start": 678.92, "end": 679.16, "word": " معاه", "probability": 0.865234375}, {"start": 679.16, "end": 679.56, "word": " تطلع", "probability": 0.903564453125}, {"start": 679.56, "end": 679.76, "word": " N", "probability": 0.68115234375}, {"start": 679.76, "end": 680.22, "word": " تربيع", "probability": 0.9569091796875}, {"start": 680.22, "end": 680.68, "word": " فوق", "probability": 0.9677734375}, {"start": 680.68, "end": 680.98, "word": " و", "probability": 0.947265625}, {"start": 680.98, "end": 681.24, "word": " N", "probability": 0.7509765625}, {"start": 681.24, "end": 681.4, "word": " و", "probability": 0.373291015625}, {"start": 681.4, "end": 681.6, "word": " 3", "probability": 0.763671875}, {"start": 681.6, "end": 682.04, "word": " على", "probability": 0.8515625}, {"start": 682.04, "end": 682.3, "word": " 2", "probability": 0.97119140625}, {"start": 682.3, "end": 682.78, "word": " مبقال", "probability": 0.6466064453125}, {"start": 682.78, "end": 683.62, "word": " جذر", "probability": 0.8141276041666666}, {"start": 683.62, "end": 683.9, "word": " ال", "probability": 0.966796875}, {"start": 683.9, "end": 684.44, "word": " N", "probability": 0.7431640625}, {"start": 684.44, "end": 685.32, "word": " فلن", "probability": 0.84765625}, {"start": 685.32, "end": 685.58, "word": " ال", "probability": 0.96484375}, {"start": 685.58, "end": 685.84, "word": " N", "probability": 0.9794921875}, {"start": 685.84, "end": 686.32, "word": " بما", "probability": 0.84521484375}, {"start": 686.32, "end": 687.22, "word": " لنهاية", "probability": 0.8656005859375}, {"start": 687.22, "end": 688.72, "word": " يبقى", "probability": 0.9886474609375}, {"start": 688.72, "end": 689.42, "word": " فاشل", "probability": 0.8401692708333334}, {"start": 689.42, "end": 690.24, "word": " الاختبار", "probability": 0.9064453125}, {"start": 690.24, "end": 690.58, "word": " يلا", "probability": 0.644287109375}], "temperature": 1.0}, {"id": 33, "seek": 71575, "start": 691.89, "end": 715.75, "text": "وأحد على نقص نص غلط يالا يبقى هاي ال N نص نص بتطلع فوق بيصير لإن ال N على N وواحد على نقص نص by vary و لإن ال N على N ب zero يبقى فاشي يالا غلط قول واحد على نقص كده تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على تلتين اتنين على", "tokens": [2407, 10721, 24401, 15844, 8717, 4587, 9381, 8717, 9381, 32771, 1211, 9566, 7251, 6027, 995, 7251, 3555, 4587, 7578, 8032, 47302, 2423, 426, 8717, 9381, 8717, 9381, 39894, 9566, 1211, 3615, 6156, 30543, 4724, 1829, 9381, 13546, 5296, 28814, 1863, 2423, 426, 15844, 426, 4032, 14407, 24401, 15844, 8717, 4587, 9381, 8717, 9381, 538, 10559, 4032, 5296, 28814, 1863, 2423, 426, 15844, 426, 4724, 4018, 7251, 3555, 4587, 7578, 6156, 33599, 1829, 7251, 6027, 995, 32771, 1211, 9566, 12174, 12610, 36764, 24401, 15844, 8717, 4587, 9381, 9122, 3215, 3224, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 9957, 1975, 2655, 1863, 9957, 15844], "avg_logprob": -0.18027777989705404, "compression_ratio": 4.278787878787878, "no_speech_prob": 0.0, "words": [{"start": 691.89, "end": 692.61, "word": "وأحد", "probability": 0.4140218098958333}, {"start": 692.61, "end": 692.81, "word": " على", "probability": 0.5556640625}, {"start": 692.81, "end": 693.21, "word": " نقص", "probability": 0.5205078125}, {"start": 693.21, "end": 693.59, "word": " نص", "probability": 0.8251953125}, {"start": 693.59, "end": 693.99, "word": " غلط", "probability": 0.9384765625}, {"start": 693.99, "end": 694.51, "word": " يالا", "probability": 0.684326171875}, {"start": 694.51, "end": 695.39, "word": " يبقى", "probability": 0.770263671875}, {"start": 695.39, "end": 695.61, "word": " هاي", "probability": 0.43701171875}, {"start": 695.61, "end": 695.77, "word": " ال", "probability": 0.9345703125}, {"start": 695.77, "end": 695.95, "word": " N", "probability": 0.53662109375}, {"start": 695.95, "end": 696.25, "word": " نص", "probability": 0.908203125}, {"start": 696.25, "end": 696.55, "word": " نص", "probability": 0.98974609375}, {"start": 696.55, "end": 697.25, "word": " بتطلع", "probability": 0.9415283203125}, {"start": 697.25, "end": 697.79, "word": " فوق", "probability": 0.9794921875}, {"start": 697.79, "end": 698.63, "word": " بيصير", "probability": 0.6669921875}, {"start": 698.63, "end": 699.11, "word": " لإن", "probability": 0.6761881510416666}, {"start": 699.11, "end": 699.41, "word": " ال", "probability": 0.95068359375}, {"start": 699.41, "end": 699.99, "word": " N", "probability": 0.97021484375}, {"start": 699.99, "end": 700.53, "word": " على", "probability": 0.83935546875}, {"start": 700.53, "end": 700.95, "word": " N", "probability": 0.93115234375}, {"start": 700.95, "end": 701.35, "word": " وواحد", "probability": 0.6975911458333334}, {"start": 701.35, "end": 701.49, "word": " على", "probability": 0.8125}, {"start": 701.49, "end": 701.85, "word": " نقص", "probability": 0.85546875}, {"start": 701.85, "end": 702.17, "word": " نص", "probability": 0.9638671875}, {"start": 702.17, "end": 702.49, "word": " by", "probability": 0.06463623046875}, {"start": 702.49, "end": 702.99, "word": " vary", "probability": 0.453369140625}, {"start": 702.99, "end": 703.19, "word": " و", "probability": 0.67529296875}, {"start": 703.19, "end": 703.49, "word": " لإن", "probability": 0.7945149739583334}, {"start": 703.49, "end": 703.67, "word": " ال", "probability": 0.9453125}, {"start": 703.67, "end": 703.93, "word": " N", "probability": 0.9814453125}, {"start": 703.93, "end": 704.47, "word": " على", "probability": 0.91259765625}, {"start": 704.47, "end": 705.17, "word": " N", "probability": 0.98095703125}, {"start": 705.17, "end": 705.73, "word": " ب", "probability": 0.8505859375}, {"start": 705.73, "end": 706.21, "word": " zero", "probability": 0.390625}, {"start": 706.21, "end": 706.51, "word": " يبقى", "probability": 0.9285888671875}, {"start": 706.51, "end": 706.87, "word": " فاشي", "probability": 0.6041666666666666}, {"start": 706.87, "end": 707.13, "word": " يالا", "probability": 0.9267578125}, {"start": 707.13, "end": 707.47, "word": " غلط", "probability": 0.99267578125}, {"start": 707.47, "end": 707.79, "word": " قول", "probability": 0.7861328125}, {"start": 707.79, "end": 710.47, "word": " واحد", "probability": 0.873291015625}, {"start": 710.47, "end": 710.73, "word": " على", "probability": 0.849609375}, {"start": 710.73, "end": 711.31, "word": " نقص", "probability": 0.8681640625}, {"start": 711.31, "end": 711.57, "word": " كده", "probability": 0.8064778645833334}, {"start": 711.57, "end": 712.27, "word": " تلتين", "probability": 0.8193359375}, {"start": 712.27, "end": 712.73, "word": " اتنين", "probability": 0.914306640625}, {"start": 712.73, "end": 712.81, "word": " على", "probability": 0.54541015625}, {"start": 712.81, "end": 713.05, "word": " تلتين", "probability": 0.73895263671875}, {"start": 713.05, "end": 713.59, "word": " اتنين", "probability": 0.84326171875}, {"start": 713.59, "end": 713.75, "word": " على", "probability": 0.71875}, {"start": 713.75, "end": 714.15, "word": " تلتين", "probability": 0.88720703125}, {"start": 714.15, "end": 714.59, "word": " اتنين", "probability": 0.76751708984375}, {"start": 714.59, "end": 714.59, "word": " على", "probability": 0.7099609375}, {"start": 714.59, "end": 714.59, "word": " تلتين", "probability": 0.9632568359375}, {"start": 714.59, "end": 714.59, "word": " اتنين", "probability": 0.887451171875}, {"start": 714.59, "end": 714.59, "word": " على", "probability": 0.74658203125}, {"start": 714.59, "end": 714.59, "word": " تلتين", "probability": 0.9840087890625}, {"start": 714.59, "end": 714.59, "word": " اتنين", "probability": 0.9378662109375}, {"start": 714.59, "end": 714.59, "word": " على", "probability": 0.7841796875}, {"start": 714.59, "end": 714.59, "word": " تلتين", "probability": 0.9903564453125}, {"start": 714.59, "end": 714.59, "word": " اتنين", "probability": 0.955810546875}, {"start": 714.59, "end": 714.59, "word": " على", "probability": 0.81494140625}, {"start": 714.59, "end": 714.59, "word": " تلتين", "probability": 0.99267578125}, {"start": 714.59, "end": 714.59, "word": " اتنين", "probability": 0.962158203125}, {"start": 714.59, "end": 714.59, "word": " على", "probability": 0.837890625}, {"start": 714.59, "end": 714.59, "word": " تلتين", "probability": 0.9931640625}, {"start": 714.59, "end": 714.59, "word": " اتنين", "probability": 0.9649658203125}, {"start": 714.59, "end": 714.59, "word": " على", "probability": 0.8515625}, {"start": 714.59, "end": 714.59, "word": " تلتين", "probability": 0.99365234375}, {"start": 714.59, "end": 714.59, "word": " اتنين", "probability": 0.965576171875}, {"start": 714.59, "end": 714.59, "word": " على", "probability": 0.86328125}, {"start": 714.59, "end": 714.59, "word": " تلتين", "probability": 0.9937744140625}, {"start": 714.59, "end": 714.59, "word": " اتنين", "probability": 0.96728515625}, {"start": 714.59, "end": 714.59, "word": " على", "probability": 0.8759765625}, {"start": 714.59, "end": 714.59, "word": " تلتين", "probability": 0.993896484375}, {"start": 714.59, "end": 714.69, "word": " اتنين", "probability": 0.9683837890625}, {"start": 714.69, "end": 714.77, "word": " على", "probability": 0.8818359375}, {"start": 714.77, "end": 714.77, "word": " تلتين", "probability": 0.9940185546875}, {"start": 714.77, "end": 714.97, "word": " اتنين", "probability": 0.9696044921875}, {"start": 714.97, "end": 714.97, "word": " على", "probability": 0.89013671875}, {"start": 714.97, "end": 714.97, "word": " تلتين", "probability": 0.9937744140625}, {"start": 714.97, "end": 714.97, "word": " اتنين", "probability": 0.9703369140625}, {"start": 714.97, "end": 714.97, "word": " على", "probability": 0.90087890625}, {"start": 714.97, "end": 714.97, "word": " تلتين", "probability": 0.993896484375}, {"start": 714.97, "end": 714.97, "word": " اتنين", "probability": 0.97216796875}, {"start": 714.97, "end": 714.97, "word": " على", "probability": 0.90869140625}, {"start": 714.97, "end": 714.97, "word": " تلتين", "probability": 0.9940185546875}, {"start": 714.97, "end": 715.75, "word": " اتنين", "probability": 0.97265625}, {"start": 715.75, "end": 715.75, "word": " على", "probability": 0.91552734375}], "temperature": 1.0}, {"id": 34, "seek": 74504, "start": 715.9, "end": 745.04, "text": "طبعا يبقى اتنين على تلاتة بيصير هنا اتنين على تلاتة هنا واحد و نص طبعا اتنين على تلاتة تلتين بيبقى النص زي التلت خمس أسداس صح ولا لأ؟ يبقى بيبقى الواحد على انص خمس أسداس في المقام وعلى انتكابه بيفشل، ايش ما تقول بيفشل؟ اه ساتسات لإن الان ترفيه على انتكابه", "tokens": [9566, 3555, 3615, 995, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 9307, 3660, 4724, 1829, 9381, 13546, 34105, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 9307, 3660, 34105, 36764, 24401, 4032, 8717, 9381, 23032, 3555, 3615, 995, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 9307, 3660, 6055, 1211, 2655, 9957, 4724, 1829, 3555, 4587, 7578, 28239, 9381, 30767, 1829, 16712, 1211, 2655, 16490, 2304, 3794, 5551, 3794, 3215, 32277, 20328, 5016, 49429, 5296, 10721, 22807, 7251, 3555, 4587, 7578, 4724, 1829, 3555, 4587, 7578, 2423, 14407, 24401, 15844, 16472, 9381, 16490, 2304, 3794, 5551, 3794, 3215, 32277, 8978, 9673, 4587, 10943, 4032, 3615, 23942, 16472, 2655, 4117, 16758, 3224, 4724, 33911, 8592, 1211, 12399, 1975, 1829, 8592, 19446, 6055, 39648, 4724, 33911, 8592, 1211, 22807, 1975, 3224, 8608, 9307, 3794, 9307, 5296, 28814, 1863, 2423, 7649, 6055, 28480, 1829, 3224, 15844, 16472, 2655, 4117, 16758, 3224], "avg_logprob": -0.25579469488156553, "compression_ratio": 2.33502538071066, "no_speech_prob": 0.0, "words": [{"start": 715.9, "end": 717.3, "word": "طبعا", "probability": 0.6407852172851562}, {"start": 717.3, "end": 718.0, "word": " يبقى", "probability": 0.879150390625}, {"start": 718.0, "end": 718.42, "word": " اتنين", "probability": 0.8406982421875}, {"start": 718.42, "end": 718.82, "word": " على", "probability": 0.7216796875}, {"start": 718.82, "end": 719.82, "word": " تلاتة", "probability": 0.9610595703125}, {"start": 719.82, "end": 720.5, "word": " بيصير", "probability": 0.728057861328125}, {"start": 720.5, "end": 720.8, "word": " هنا", "probability": 0.814453125}, {"start": 720.8, "end": 721.22, "word": " اتنين", "probability": 0.9805908203125}, {"start": 721.22, "end": 721.36, "word": " على", "probability": 0.8447265625}, {"start": 721.36, "end": 721.82, "word": " تلاتة", "probability": 0.978515625}, {"start": 721.82, "end": 722.1, "word": " هنا", "probability": 0.6591796875}, {"start": 722.1, "end": 722.66, "word": " واحد", "probability": 0.939208984375}, {"start": 722.66, "end": 722.86, "word": " و", "probability": 0.97216796875}, {"start": 722.86, "end": 723.34, "word": " نص", "probability": 0.802490234375}, {"start": 723.34, "end": 724.24, "word": " طبعا", "probability": 0.91748046875}, {"start": 724.24, "end": 725.02, "word": " اتنين", "probability": 0.9599609375}, {"start": 725.02, "end": 725.16, "word": " على", "probability": 0.8798828125}, {"start": 725.16, "end": 725.68, "word": " تلاتة", "probability": 0.9842529296875}, {"start": 725.68, "end": 726.28, "word": " تلتين", "probability": 0.9532470703125}, {"start": 726.28, "end": 726.62, "word": " بيبقى", "probability": 0.93330078125}, {"start": 726.62, "end": 727.06, "word": " النص", "probability": 0.73583984375}, {"start": 727.06, "end": 727.48, "word": " زي", "probability": 0.763671875}, {"start": 727.48, "end": 728.42, "word": " التلت", "probability": 0.95751953125}, {"start": 728.42, "end": 729.28, "word": " خمس", "probability": 0.9684244791666666}, {"start": 729.28, "end": 729.92, "word": " أسداس", "probability": 0.73681640625}, {"start": 729.92, "end": 731.02, "word": " صح", "probability": 0.9423828125}, {"start": 731.02, "end": 731.2, "word": " ولا", "probability": 0.94775390625}, {"start": 731.2, "end": 731.9, "word": " لأ؟", "probability": 0.69970703125}, {"start": 731.9, "end": 732.46, "word": " يبقى", "probability": 0.9434814453125}, {"start": 732.46, "end": 732.74, "word": " بيبقى", "probability": 0.94873046875}, {"start": 732.74, "end": 733.3, "word": " الواحد", "probability": 0.9347330729166666}, {"start": 733.3, "end": 733.5, "word": " على", "probability": 0.61279296875}, {"start": 733.5, "end": 733.8, "word": " انص", "probability": 0.3255615234375}, {"start": 733.8, "end": 734.2, "word": " خمس", "probability": 0.9938151041666666}, {"start": 734.2, "end": 734.7, "word": " أسداس", "probability": 0.926025390625}, {"start": 734.7, "end": 734.9, "word": " في", "probability": 0.94775390625}, {"start": 734.9, "end": 736.44, "word": " المقام", "probability": 0.9930013020833334}, {"start": 736.44, "end": 737.4, "word": " وعلى", "probability": 0.8118489583333334}, {"start": 737.4, "end": 738.12, "word": " انتكابه", "probability": 0.607958984375}, {"start": 738.12, "end": 738.68, "word": " بيفشل،", "probability": 0.752197265625}, {"start": 738.68, "end": 738.94, "word": " ايش", "probability": 0.73583984375}, {"start": 738.94, "end": 739.06, "word": " ما", "probability": 0.63232421875}, {"start": 739.06, "end": 739.36, "word": " تقول", "probability": 0.986328125}, {"start": 739.36, "end": 740.22, "word": " بيفشل؟", "probability": 0.86318359375}, {"start": 740.22, "end": 740.48, "word": " اه", "probability": 0.5240478515625}, {"start": 740.48, "end": 741.3, "word": " ساتسات", "probability": 0.443084716796875}, {"start": 741.3, "end": 742.08, "word": " لإن", "probability": 0.5959065755208334}, {"start": 742.08, "end": 742.4, "word": " الان", "probability": 0.53045654296875}, {"start": 742.4, "end": 743.72, "word": " ترفيه", "probability": 0.79461669921875}, {"start": 743.72, "end": 743.86, "word": " على", "probability": 0.86572265625}, {"start": 743.86, "end": 745.04, "word": " انتكابه", "probability": 0.81767578125}], "temperature": 1.0}, {"id": 35, "seek": 76702, "start": 745.64, "end": 767.02, "text": "لأن ال interview ..يعني تبقى تقارن مع الأصليها دي؟ السؤال اللي جابله يعني؟ اه ليه توجع رأسك؟ يعني انت لو هذه مش موجودة تقدر تقارن معاها؟ طيب احنا بيجيبك واحدة تقارن معاه و يكون صحيح، بس انت لو انك دقيق النظر شوية، كيف؟", "tokens": [1211, 33456, 2423, 4049, 4386, 40228, 22653, 6055, 3555, 4587, 7578, 6055, 4587, 9640, 1863, 20449, 16247, 9381, 20292, 11296, 11778, 1829, 22807, 21136, 33604, 6027, 13672, 1829, 10874, 16758, 43761, 37495, 22653, 22807, 1975, 3224, 32239, 3224, 6055, 29245, 3615, 12602, 10721, 3794, 4117, 22807, 37495, 22653, 16472, 2655, 45164, 29538, 37893, 3714, 29245, 23328, 3660, 6055, 28543, 2288, 6055, 4587, 9640, 1863, 20449, 995, 11296, 22807, 23032, 1829, 3555, 1975, 5016, 8315, 4724, 1829, 7435, 1829, 3555, 4117, 36764, 24401, 3660, 6055, 4587, 9640, 1863, 20449, 40294, 4032, 7251, 30544, 20328, 5016, 1829, 5016, 12399, 4724, 3794, 16472, 2655, 45164, 16472, 4117, 11778, 38436, 4587, 28239, 19913, 2288, 13412, 2407, 10632, 12399, 9122, 33911, 22807], "avg_logprob": -0.21424787782006344, "compression_ratio": 1.7649769585253456, "no_speech_prob": 0.0, "words": [{"start": 745.64, "end": 746.26, "word": "لأن", "probability": 0.774169921875}, {"start": 746.26, "end": 746.46, "word": " ال", "probability": 0.96533203125}, {"start": 746.46, "end": 747.02, "word": " interview", "probability": 0.398193359375}, {"start": 747.02, "end": 747.62, "word": " ..يعني", "probability": 0.6027018229166666}, {"start": 747.62, "end": 747.8, "word": " تبقى", "probability": 0.7843017578125}, {"start": 747.8, "end": 748.12, "word": " تقارن", "probability": 0.9813232421875}, {"start": 748.12, "end": 748.24, "word": " مع", "probability": 0.9931640625}, {"start": 748.24, "end": 748.9, "word": " الأصليها", "probability": 0.6932373046875}, {"start": 748.9, "end": 749.36, "word": " دي؟", "probability": 0.7724609375}, {"start": 749.36, "end": 750.44, "word": " السؤال", "probability": 0.9767252604166666}, {"start": 750.44, "end": 750.56, "word": " اللي", "probability": 0.8828125}, {"start": 750.56, "end": 750.86, "word": " جابله", "probability": 0.94775390625}, {"start": 750.86, "end": 751.42, "word": " يعني؟", "probability": 0.7277018229166666}, {"start": 751.42, "end": 751.6, "word": " اه", "probability": 0.365966796875}, {"start": 751.6, "end": 751.84, "word": " ليه", "probability": 0.67333984375}, {"start": 751.84, "end": 752.2, "word": " توجع", "probability": 0.49188232421875}, {"start": 752.2, "end": 753.26, "word": " رأسك؟", "probability": 0.856298828125}, {"start": 753.26, "end": 754.38, "word": " يعني", "probability": 0.941162109375}, {"start": 754.38, "end": 754.72, "word": " انت", "probability": 0.75439453125}, {"start": 754.72, "end": 754.94, "word": " لو", "probability": 0.9560546875}, {"start": 754.94, "end": 755.22, "word": " هذه", "probability": 0.47509765625}, {"start": 755.22, "end": 755.52, "word": " مش", "probability": 0.982421875}, {"start": 755.52, "end": 756.52, "word": " موجودة", "probability": 0.9937744140625}, {"start": 756.52, "end": 757.16, "word": " تقدر", "probability": 0.8785807291666666}, {"start": 757.16, "end": 757.7, "word": " تقارن", "probability": 0.99365234375}, {"start": 757.7, "end": 758.48, "word": " معاها؟", "probability": 0.89453125}, {"start": 758.48, "end": 759.14, "word": " طيب", "probability": 0.9283854166666666}, {"start": 759.14, "end": 759.48, "word": " احنا", "probability": 0.9326171875}, {"start": 759.48, "end": 760.38, "word": " بيجيبك", "probability": 0.6384684244791666}, {"start": 760.38, "end": 761.04, "word": " واحدة", "probability": 0.9547526041666666}, {"start": 761.04, "end": 761.84, "word": " تقارن", "probability": 0.9913330078125}, {"start": 761.84, "end": 762.08, "word": " معاه", "probability": 0.95556640625}, {"start": 762.08, "end": 762.16, "word": " و", "probability": 0.873046875}, {"start": 762.16, "end": 762.58, "word": " يكون", "probability": 0.79052734375}, {"start": 762.58, "end": 763.78, "word": " صحيح،", "probability": 0.9048828125}, {"start": 763.78, "end": 764.1, "word": " بس", "probability": 0.99169921875}, {"start": 764.1, "end": 764.48, "word": " انت", "probability": 0.8310546875}, {"start": 764.48, "end": 764.7, "word": " لو", "probability": 0.90576171875}, {"start": 764.7, "end": 765.04, "word": " انك", "probability": 0.8642578125}, {"start": 765.04, "end": 765.56, "word": " دقيق", "probability": 0.9855143229166666}, {"start": 765.56, "end": 766.0, "word": " النظر", "probability": 0.8956705729166666}, {"start": 766.0, "end": 766.44, "word": " شوية،", "probability": 0.83056640625}, {"start": 766.44, "end": 767.02, "word": " كيف؟", "probability": 0.9884440104166666}], "temperature": 1.0}, {"id": 36, "seek": 78632, "start": 768.08, "end": 786.32, "text": "النص نص فشلت، و أس تلتين فشلت، و إيه؟ واحد علين فشلت، و واحد علين نقش واحد و نص فشلت، و واحد علين تربية فشلت، و واحد علين نص خمسة علت .. طب و أنت ليش بتمشي النص واحد واحد و نص اتنين لاتنين؟ طب ما تخليها واحد و ربع مثلا", "tokens": [6027, 1863, 9381, 8717, 9381, 6156, 8592, 1211, 2655, 12399, 4032, 5551, 3794, 6055, 1211, 2655, 9957, 6156, 8592, 1211, 2655, 12399, 4032, 11933, 1829, 3224, 22807, 36764, 24401, 11203, 9957, 6156, 8592, 1211, 2655, 12399, 4032, 36764, 24401, 11203, 9957, 8717, 4587, 8592, 36764, 24401, 4032, 8717, 9381, 6156, 8592, 1211, 2655, 12399, 4032, 36764, 24401, 11203, 9957, 6055, 25513, 10632, 6156, 8592, 1211, 2655, 12399, 4032, 36764, 24401, 11203, 9957, 8717, 9381, 16490, 2304, 3794, 3660, 11203, 2655, 4386, 23032, 3555, 4032, 14739, 2655, 32239, 8592, 39894, 2304, 8592, 1829, 28239, 9381, 36764, 24401, 36764, 24401, 4032, 8717, 9381, 1975, 2655, 1863, 9957, 5296, 9307, 1863, 9957, 22807, 23032, 3555, 19446, 6055, 9778, 20292, 11296, 36764, 24401, 4032, 12602, 3555, 3615, 50113, 15040], "avg_logprob": -0.2274305544911869, "compression_ratio": 2.327272727272727, "no_speech_prob": 0.0, "words": [{"start": 768.08, "end": 768.64, "word": "النص", "probability": 0.4680582682291667}, {"start": 768.64, "end": 768.94, "word": " نص", "probability": 0.958984375}, {"start": 768.94, "end": 770.08, "word": " فشلت،", "probability": 0.78076171875}, {"start": 770.08, "end": 770.36, "word": " و", "probability": 0.80859375}, {"start": 770.36, "end": 770.6, "word": " أس", "probability": 0.379638671875}, {"start": 770.6, "end": 771.18, "word": " تلتين", "probability": 0.88623046875}, {"start": 771.18, "end": 772.4, "word": " فشلت،", "probability": 0.9640625}, {"start": 772.4, "end": 772.52, "word": " و", "probability": 0.79931640625}, {"start": 772.52, "end": 772.84, "word": " إيه؟", "probability": 0.666015625}, {"start": 772.84, "end": 773.18, "word": " واحد", "probability": 0.867431640625}, {"start": 773.18, "end": 773.6, "word": " علين", "probability": 0.50732421875}, {"start": 773.6, "end": 774.44, "word": " فشلت،", "probability": 0.93525390625}, {"start": 774.44, "end": 774.54, "word": " و", "probability": 0.6982421875}, {"start": 774.54, "end": 774.86, "word": " واحد", "probability": 0.950927734375}, {"start": 774.86, "end": 775.12, "word": " علين", "probability": 0.8349609375}, {"start": 775.12, "end": 775.36, "word": " نقش", "probability": 0.7490234375}, {"start": 775.36, "end": 775.68, "word": " واحد", "probability": 0.93505859375}, {"start": 775.68, "end": 775.8, "word": " و", "probability": 0.99072265625}, {"start": 775.8, "end": 776.06, "word": " نص", "probability": 0.93359375}, {"start": 776.06, "end": 776.94, "word": " فشلت،", "probability": 0.97392578125}, {"start": 776.94, "end": 777.08, "word": " و", "probability": 0.93359375}, {"start": 777.08, "end": 777.42, "word": " واحد", "probability": 0.97607421875}, {"start": 777.42, "end": 777.84, "word": " علين", "probability": 0.948974609375}, {"start": 777.84, "end": 778.42, "word": " تربية", "probability": 0.8082682291666666}, {"start": 778.42, "end": 779.12, "word": " فشلت،", "probability": 0.98525390625}, {"start": 779.12, "end": 779.22, "word": " و", "probability": 0.99169921875}, {"start": 779.22, "end": 779.52, "word": " واحد", "probability": 0.974365234375}, {"start": 779.52, "end": 779.78, "word": " علين", "probability": 0.959228515625}, {"start": 779.78, "end": 780.02, "word": " نص", "probability": 0.650634765625}, {"start": 780.02, "end": 780.38, "word": " خمسة", "probability": 0.896240234375}, {"start": 780.38, "end": 780.62, "word": " علت", "probability": 0.767333984375}, {"start": 780.62, "end": 780.84, "word": " ..", "probability": 0.25}, {"start": 780.84, "end": 781.2, "word": " طب", "probability": 0.84619140625}, {"start": 781.2, "end": 781.3, "word": " و", "probability": 0.7314453125}, {"start": 781.3, "end": 781.44, "word": " أنت", "probability": 0.661865234375}, {"start": 781.44, "end": 781.7, "word": " ليش", "probability": 0.961669921875}, {"start": 781.7, "end": 782.14, "word": " بتمشي", "probability": 0.902587890625}, {"start": 782.14, "end": 782.54, "word": " النص", "probability": 0.898681640625}, {"start": 782.54, "end": 782.94, "word": " واحد", "probability": 0.97802734375}, {"start": 782.94, "end": 783.24, "word": " واحد", "probability": 0.85498046875}, {"start": 783.24, "end": 783.36, "word": " و", "probability": 0.96728515625}, {"start": 783.36, "end": 783.62, "word": " نص", "probability": 0.99072265625}, {"start": 783.62, "end": 783.94, "word": " اتنين", "probability": 0.9635009765625}, {"start": 783.94, "end": 784.48, "word": " لاتنين؟", "probability": 0.73076171875}, {"start": 784.48, "end": 784.78, "word": " طب", "probability": 0.989013671875}, {"start": 784.78, "end": 784.88, "word": " ما", "probability": 0.26611328125}, {"start": 784.88, "end": 785.28, "word": " تخليها", "probability": 0.857666015625}, {"start": 785.28, "end": 785.54, "word": " واحد", "probability": 0.965087890625}, {"start": 785.54, "end": 785.68, "word": " و", "probability": 0.9853515625}, {"start": 785.68, "end": 785.9, "word": " ربع", "probability": 0.6897786458333334}, {"start": 785.9, "end": 786.32, "word": " مثلا", "probability": 0.806396484375}], "temperature": 1.0}, {"id": 37, "seek": 81211, "start": 786.95, "end": 812.11, "text": "يعني غير انصاص يعني هو القرآن نزل من السنة ليس بالضرورة المهم رقم بدكي أكبر من الواحدة و أقل من الواحد تمام؟ اذا انا لو اتجربت واحد على إن أس واحد و ربع مثلا، conversion or divation؟ طيب نشوف، انطلق نتيجة صفر خلصنا، مظبوط؟ اه يعني انت سغري مش ان انا اقولك ايش ما تقول غلط من البدالة نسؤال", "tokens": [40228, 22653, 32771, 13546, 16472, 9381, 33546, 37495, 22653, 31439, 25062, 2288, 148, 48506, 8717, 11622, 1211, 9154, 21136, 1863, 3660, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 9673, 16095, 12602, 4587, 2304, 47525, 4117, 1829, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 3660, 4032, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 46811, 10943, 22807, 1975, 15730, 1975, 8315, 45164, 1975, 2655, 7435, 25513, 2655, 36764, 24401, 15844, 11933, 1863, 5551, 3794, 36764, 24401, 4032, 12602, 3555, 3615, 50113, 15040, 12399, 14298, 420, 3414, 399, 22807, 23032, 1829, 3555, 8717, 8592, 38688, 12399, 16472, 9566, 1211, 4587, 8717, 31371, 7435, 3660, 20328, 5172, 2288, 16490, 1211, 9381, 8315, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 1975, 3224, 37495, 22653, 16472, 2655, 8608, 17082, 16572, 37893, 16472, 1975, 8315, 1975, 39648, 4117, 1975, 1829, 8592, 19446, 6055, 39648, 32771, 1211, 9566, 9154, 29739, 3215, 6027, 3660, 8717, 3794, 33604, 6027], "avg_logprob": -0.3441666519641876, "compression_ratio": 1.7722419928825623, "no_speech_prob": 0.0, "words": [{"start": 786.95, "end": 787.33, "word": "يعني", "probability": 0.836669921875}, {"start": 787.33, "end": 787.59, "word": " غير", "probability": 0.9423828125}, {"start": 787.59, "end": 788.21, "word": " انصاص", "probability": 0.87060546875}, {"start": 788.21, "end": 788.59, "word": " يعني", "probability": 0.920166015625}, {"start": 788.59, "end": 788.79, "word": " هو", "probability": 0.66943359375}, {"start": 788.79, "end": 789.15, "word": " القرآن", "probability": 0.7564697265625}, {"start": 789.15, "end": 789.51, "word": " نزل", "probability": 0.9700520833333334}, {"start": 789.51, "end": 789.65, "word": " من", "probability": 0.9677734375}, {"start": 789.65, "end": 789.87, "word": " السنة", "probability": 0.6180826822916666}, {"start": 789.87, "end": 790.23, "word": " ليس", "probability": 0.61572265625}, {"start": 790.23, "end": 791.01, "word": " بالضرورة", "probability": 0.9181640625}, {"start": 791.01, "end": 791.55, "word": " المهم", "probability": 0.82861328125}, {"start": 791.55, "end": 792.07, "word": " رقم", "probability": 0.9542643229166666}, {"start": 792.07, "end": 792.47, "word": " بدكي", "probability": 0.6110026041666666}, {"start": 792.47, "end": 793.11, "word": " أكبر", "probability": 0.8203125}, {"start": 793.11, "end": 793.25, "word": " من", "probability": 0.98095703125}, {"start": 793.25, "end": 793.73, "word": " الواحدة", "probability": 0.74261474609375}, {"start": 793.73, "end": 793.85, "word": " و", "probability": 0.78955078125}, {"start": 793.85, "end": 794.09, "word": " أقل", "probability": 0.7300618489583334}, {"start": 794.09, "end": 794.27, "word": " من", "probability": 0.99462890625}, {"start": 794.27, "end": 794.73, "word": " الواحد", "probability": 0.9918619791666666}, {"start": 794.73, "end": 795.71, "word": " تمام؟", "probability": 0.74560546875}, {"start": 795.71, "end": 796.23, "word": " اذا", "probability": 0.66796875}, {"start": 796.23, "end": 796.59, "word": " انا", "probability": 0.890869140625}, {"start": 796.59, "end": 796.81, "word": " لو", "probability": 0.97607421875}, {"start": 796.81, "end": 797.85, "word": " اتجربت", "probability": 0.71923828125}, {"start": 797.85, "end": 798.35, "word": " واحد", "probability": 0.890869140625}, {"start": 798.35, "end": 798.67, "word": " على", "probability": 0.6806640625}, {"start": 798.67, "end": 799.13, "word": " إن", "probability": 0.5098876953125}, {"start": 799.13, "end": 799.41, "word": " أس", "probability": 0.64794921875}, {"start": 799.41, "end": 799.73, "word": " واحد", "probability": 0.86572265625}, {"start": 799.73, "end": 799.85, "word": " و", "probability": 0.9873046875}, {"start": 799.85, "end": 800.15, "word": " ربع", "probability": 0.771484375}, {"start": 800.15, "end": 801.43, "word": " مثلا،", "probability": 0.6717529296875}, {"start": 801.43, "end": 801.89, "word": " conversion", "probability": 0.361328125}, {"start": 801.89, "end": 802.13, "word": " or", "probability": 0.15673828125}, {"start": 802.13, "end": 802.79, "word": " divation؟", "probability": 0.435546875}, {"start": 802.79, "end": 803.67, "word": " طيب", "probability": 0.7164306640625}, {"start": 803.67, "end": 804.11, "word": " نشوف،", "probability": 0.781982421875}, {"start": 804.11, "end": 804.51, "word": " انطلق", "probability": 0.701171875}, {"start": 804.51, "end": 804.89, "word": " نتيجة", "probability": 0.8433837890625}, {"start": 804.89, "end": 805.15, "word": " صفر", "probability": 0.9627278645833334}, {"start": 805.15, "end": 806.45, "word": " خلصنا،", "probability": 0.8689453125}, {"start": 806.45, "end": 807.59, "word": " مظبوط؟", "probability": 0.9525553385416666}, {"start": 807.59, "end": 807.85, "word": " اه", "probability": 0.6781005859375}, {"start": 807.85, "end": 807.99, "word": " يعني", "probability": 0.6312255859375}, {"start": 807.99, "end": 808.13, "word": " انت", "probability": 0.6873779296875}, {"start": 808.13, "end": 808.37, "word": " سغري", "probability": 0.3828938802083333}, {"start": 808.37, "end": 808.49, "word": " مش", "probability": 0.6953125}, {"start": 808.49, "end": 808.61, "word": " ان", "probability": 0.313232421875}, {"start": 808.61, "end": 808.65, "word": " انا", "probability": 0.54833984375}, {"start": 808.65, "end": 809.03, "word": " اقولك", "probability": 0.69970703125}, {"start": 809.03, "end": 809.23, "word": " ايش", "probability": 0.668701171875}, {"start": 809.23, "end": 809.37, "word": " ما", "probability": 0.31201171875}, {"start": 809.37, "end": 809.67, "word": " تقول", "probability": 0.991943359375}, {"start": 809.67, "end": 810.09, "word": " غلط", "probability": 0.9659830729166666}, {"start": 810.09, "end": 810.33, "word": " من", "probability": 0.98583984375}, {"start": 810.33, "end": 811.21, "word": " البدالة", "probability": 0.7373046875}, {"start": 811.21, "end": 812.11, "word": " نسؤال", "probability": 0.71160888671875}], "temperature": 1.0}, {"id": 38, "seek": 82308, "start": 812.34, "end": 823.08, "text": "بدو تفكير دقيق شوية يعني، يبقى احنا بنيجي بنقول ان summation 1 على N أس 1 وربع يعني جباش", "tokens": [44510, 2407, 6055, 5172, 4117, 13546, 11778, 38436, 4587, 13412, 2407, 10632, 37495, 22653, 12399, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 44945, 1829, 7435, 1829, 44945, 39648, 16472, 28811, 502, 15844, 426, 5551, 3794, 502, 4032, 25513, 3615, 37495, 22653, 10874, 3555, 33599], "avg_logprob": -0.27673610581292046, "compression_ratio": 1.2166666666666666, "no_speech_prob": 0.0, "words": [{"start": 812.34, "end": 812.84, "word": "بدو", "probability": 0.3304443359375}, {"start": 812.84, "end": 813.34, "word": " تفكير", "probability": 0.9959716796875}, {"start": 813.34, "end": 813.84, "word": " دقيق", "probability": 0.9910481770833334}, {"start": 813.84, "end": 814.42, "word": " شوية", "probability": 0.8811848958333334}, {"start": 814.42, "end": 815.32, "word": " يعني،", "probability": 0.6788736979166666}, {"start": 815.32, "end": 815.76, "word": " يبقى", "probability": 0.948974609375}, {"start": 815.76, "end": 816.08, "word": " احنا", "probability": 0.9274088541666666}, {"start": 816.08, "end": 816.48, "word": " بنيجي", "probability": 0.84765625}, {"start": 816.48, "end": 816.92, "word": " بنقول", "probability": 0.897705078125}, {"start": 816.92, "end": 817.22, "word": " ان", "probability": 0.6318359375}, {"start": 817.22, "end": 818.44, "word": " summation", "probability": 0.389892578125}, {"start": 818.44, "end": 819.84, "word": " 1", "probability": 0.56298828125}, {"start": 819.84, "end": 820.34, "word": " على", "probability": 0.63818359375}, {"start": 820.34, "end": 820.78, "word": " N", "probability": 0.51708984375}, {"start": 820.78, "end": 821.24, "word": " أس", "probability": 0.647216796875}, {"start": 821.24, "end": 821.64, "word": " 1", "probability": 0.6689453125}, {"start": 821.64, "end": 822.12, "word": " وربع", "probability": 0.7376302083333334}, {"start": 822.12, "end": 822.4, "word": " يعني", "probability": 0.9462890625}, {"start": 822.4, "end": 823.08, "word": " جباش", "probability": 0.7731119791666666}], "temperature": 1.0}, {"id": 39, "seek": 84245, "start": 823.77, "end": 842.45, "text": "خمسة على اربع واحد واربع يعني series convert يفجأ هذي convert P series السبب because ان P تساوي خمس اربع اكبر من الواحد الصحيح", "tokens": [9778, 2304, 3794, 3660, 15844, 1975, 25513, 3615, 36764, 24401, 4032, 9640, 3555, 3615, 37495, 22653, 2638, 7620, 7251, 5172, 7435, 10721, 8032, 8848, 1829, 7620, 430, 2638, 21136, 3555, 3555, 570, 16472, 430, 6055, 3794, 995, 45865, 16490, 2304, 3794, 1975, 25513, 3615, 1975, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016], "avg_logprob": -0.29771204771740095, "compression_ratio": 1.4057971014492754, "no_speech_prob": 0.0, "words": [{"start": 823.77, "end": 824.35, "word": "خمسة", "probability": 0.75286865234375}, {"start": 824.35, "end": 824.53, "word": " على", "probability": 0.58056640625}, {"start": 824.53, "end": 824.99, "word": " اربع", "probability": 0.6256510416666666}, {"start": 824.99, "end": 825.39, "word": " واحد", "probability": 0.7685546875}, {"start": 825.39, "end": 825.69, "word": " واربع", "probability": 0.8817138671875}, {"start": 825.69, "end": 825.93, "word": " يعني", "probability": 0.88037109375}, {"start": 825.93, "end": 826.53, "word": " series", "probability": 0.392822265625}, {"start": 826.53, "end": 827.55, "word": " convert", "probability": 0.396728515625}, {"start": 827.55, "end": 829.81, "word": " يفجأ", "probability": 0.51702880859375}, {"start": 829.81, "end": 830.33, "word": " هذي", "probability": 0.5203450520833334}, {"start": 830.33, "end": 831.05, "word": " convert", "probability": 0.92236328125}, {"start": 831.05, "end": 832.17, "word": " P", "probability": 0.82666015625}, {"start": 832.17, "end": 833.25, "word": " series", "probability": 0.734375}, {"start": 833.25, "end": 834.71, "word": " السبب", "probability": 0.9558919270833334}, {"start": 834.71, "end": 835.77, "word": " because", "probability": 0.52685546875}, {"start": 835.77, "end": 836.63, "word": " ان", "probability": 0.640625}, {"start": 836.63, "end": 837.33, "word": " P", "probability": 0.9375}, {"start": 837.33, "end": 838.29, "word": " تساوي", "probability": 0.81689453125}, {"start": 838.29, "end": 839.07, "word": " خمس", "probability": 0.9599609375}, {"start": 839.07, "end": 839.97, "word": " اربع", "probability": 0.9069010416666666}, {"start": 839.97, "end": 840.97, "word": " اكبر", "probability": 0.9270833333333334}, {"start": 840.97, "end": 841.19, "word": " من", "probability": 0.98486328125}, {"start": 841.19, "end": 841.81, "word": " الواحد", "probability": 0.9451497395833334}, {"start": 841.81, "end": 842.45, "word": " الصحيح", "probability": 0.8907470703125}], "temperature": 1.0}, {"id": 40, "seek": 85535, "start": 842.95, "end": 855.35, "text": "طيب بدأو حاخد limit لما ال N tends to infinity لإن ال N N أس ثلاثة على اتنين تقسم واحد على N أس خمسة على أربعة", "tokens": [9566, 1829, 3555, 47525, 10721, 2407, 11331, 47283, 3215, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 28814, 1863, 2423, 426, 426, 5551, 3794, 38637, 1211, 5718, 104, 3660, 15844, 1975, 2655, 1863, 9957, 6055, 4587, 38251, 36764, 24401, 15844, 426, 5551, 3794, 16490, 2304, 3794, 3660, 15844, 5551, 25513, 27884], "avg_logprob": -0.276975247095216, "compression_ratio": 1.3053435114503817, "no_speech_prob": 0.0, "words": [{"start": 842.95, "end": 843.55, "word": "طيب", "probability": 0.7249348958333334}, {"start": 843.55, "end": 843.99, "word": " بدأو", "probability": 0.3443196614583333}, {"start": 843.99, "end": 844.49, "word": " حاخد", "probability": 0.7410481770833334}, {"start": 844.49, "end": 845.03, "word": " limit", "probability": 0.9033203125}, {"start": 845.03, "end": 845.79, "word": " لما", "probability": 0.9228515625}, {"start": 845.79, "end": 845.99, "word": " ال", "probability": 0.962890625}, {"start": 845.99, "end": 846.27, "word": " N", "probability": 0.6484375}, {"start": 846.27, "end": 846.63, "word": " tends", "probability": 0.60595703125}, {"start": 846.63, "end": 846.95, "word": " to", "probability": 0.90185546875}, {"start": 846.95, "end": 847.69, "word": " infinity", "probability": 0.8623046875}, {"start": 847.69, "end": 848.77, "word": " لإن", "probability": 0.75732421875}, {"start": 848.77, "end": 848.99, "word": " ال", "probability": 0.87255859375}, {"start": 848.99, "end": 849.43, "word": " N", "probability": 0.93798828125}, {"start": 849.43, "end": 849.91, "word": " N", "probability": 0.7236328125}, {"start": 849.91, "end": 850.33, "word": " أس", "probability": 0.4996337890625}, {"start": 850.33, "end": 850.87, "word": " ثلاثة", "probability": 0.85185546875}, {"start": 850.87, "end": 851.07, "word": " على", "probability": 0.72607421875}, {"start": 851.07, "end": 851.67, "word": " اتنين", "probability": 0.95556640625}, {"start": 851.67, "end": 852.57, "word": " تقسم", "probability": 0.8248697916666666}, {"start": 852.57, "end": 853.13, "word": " واحد", "probability": 0.91796875}, {"start": 853.13, "end": 853.41, "word": " على", "probability": 0.771484375}, {"start": 853.41, "end": 853.69, "word": " N", "probability": 0.92724609375}, {"start": 853.69, "end": 853.97, "word": " أس", "probability": 0.9345703125}, {"start": 853.97, "end": 854.51, "word": " خمسة", "probability": 0.9833984375}, {"start": 854.51, "end": 854.77, "word": " على", "probability": 0.86767578125}, {"start": 854.77, "end": 855.35, "word": " أربعة", "probability": 0.8445638020833334}], "temperature": 1.0}, {"id": 41, "seek": 87782, "start": 856.66, "end": 877.82, "text": "limit لما ال N tends to infinity ل N أُس خمسة على أربعة على مين في لن ال N على N أُس ثلاثة على اتنين ويسوي limit لما ال N tends to infinity ل لن ال N على N أُس ربع", "tokens": [4197, 270, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 426, 5551, 10859, 3794, 16490, 2304, 3794, 3660, 15844, 5551, 25513, 27884, 15844, 3714, 9957, 8978, 5296, 1863, 2423, 426, 15844, 426, 5551, 10859, 3794, 38637, 1211, 5718, 104, 3660, 15844, 1975, 2655, 1863, 9957, 4032, 1829, 3794, 45865, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 5296, 1863, 2423, 426, 15844, 426, 5551, 10859, 3794, 12602, 3555, 3615], "avg_logprob": -0.19377200536324946, "compression_ratio": 1.8244274809160306, "no_speech_prob": 0.0, "words": [{"start": 856.66, "end": 857.38, "word": "limit", "probability": 0.6676025390625}, {"start": 857.38, "end": 857.7, "word": " لما", "probability": 0.831298828125}, {"start": 857.7, "end": 857.88, "word": " ال", "probability": 0.904296875}, {"start": 857.88, "end": 858.06, "word": " N", "probability": 0.486328125}, {"start": 858.06, "end": 858.4, "word": " tends", "probability": 0.1868896484375}, {"start": 858.4, "end": 858.66, "word": " to", "probability": 0.89013671875}, {"start": 858.66, "end": 859.36, "word": " infinity", "probability": 0.8505859375}, {"start": 859.36, "end": 860.02, "word": " ل", "probability": 0.9267578125}, {"start": 860.02, "end": 860.38, "word": " N", "probability": 0.85595703125}, {"start": 860.38, "end": 860.76, "word": " أُس", "probability": 0.65234375}, {"start": 860.76, "end": 861.5, "word": " خمسة", "probability": 0.90185546875}, {"start": 861.5, "end": 861.96, "word": " على", "probability": 0.7255859375}, {"start": 861.96, "end": 862.98, "word": " أربعة", "probability": 0.89111328125}, {"start": 862.98, "end": 863.76, "word": " على", "probability": 0.76806640625}, {"start": 863.76, "end": 864.26, "word": " مين", "probability": 0.941162109375}, {"start": 864.26, "end": 864.64, "word": " في", "probability": 0.4375}, {"start": 864.64, "end": 865.24, "word": " لن", "probability": 0.896484375}, {"start": 865.24, "end": 865.62, "word": " ال", "probability": 0.79443359375}, {"start": 865.62, "end": 866.28, "word": " N", "probability": 0.98876953125}, {"start": 866.28, "end": 867.4, "word": " على", "probability": 0.79736328125}, {"start": 867.4, "end": 868.0, "word": " N", "probability": 0.9716796875}, {"start": 868.0, "end": 868.58, "word": " أُس", "probability": 0.8575846354166666}, {"start": 868.58, "end": 869.2, "word": " ثلاثة", "probability": 0.9107421875}, {"start": 869.2, "end": 869.44, "word": " على", "probability": 0.865234375}, {"start": 869.44, "end": 870.12, "word": " اتنين", "probability": 0.9315185546875}, {"start": 870.12, "end": 871.06, "word": " ويسوي", "probability": 0.7567138671875}, {"start": 871.06, "end": 871.6, "word": " limit", "probability": 0.84326171875}, {"start": 871.6, "end": 872.0, "word": " لما", "probability": 0.980224609375}, {"start": 872.0, "end": 872.2, "word": " ال", "probability": 0.9111328125}, {"start": 872.2, "end": 872.4, "word": " N", "probability": 0.99462890625}, {"start": 872.4, "end": 872.82, "word": " tends", "probability": 0.83056640625}, {"start": 872.82, "end": 873.04, "word": " to", "probability": 0.9775390625}, {"start": 873.04, "end": 873.7, "word": " infinity", "probability": 0.89306640625}, {"start": 873.7, "end": 874.42, "word": " ل", "probability": 0.97216796875}, {"start": 874.42, "end": 874.88, "word": " لن", "probability": 0.769775390625}, {"start": 874.88, "end": 875.14, "word": " ال", "probability": 0.958984375}, {"start": 875.14, "end": 875.46, "word": " N", "probability": 0.99267578125}, {"start": 875.46, "end": 875.9, "word": " على", "probability": 0.9072265625}, {"start": 875.9, "end": 876.52, "word": " N", "probability": 0.9921875}, {"start": 876.52, "end": 877.16, "word": " أُس", "probability": 0.97314453125}, {"start": 877.16, "end": 877.82, "word": " ربع", "probability": 0.8232421875}], "temperature": 1.0}, {"id": 42, "seek": 90780, "start": 881.16, "end": 907.8, "text": "خمسة على أربعة واحد وربع تلاتة على اتنين واحد ونص من واحد ونص لواحدة ربع فارجية جداش ربع يبقى بصير N أص ربع تعاود المباشر بيجيب لجداش Infinity على Infinity بدي استخدم قاعدة Lobital يبقى ال limit لما ال N تنسوا Infinity لواحد على N وهدي الربع N أسالب تلاتة ربع", "tokens": [9778, 2304, 3794, 3660, 15844, 5551, 25513, 27884, 36764, 24401, 4032, 25513, 3615, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 36764, 24401, 4032, 1863, 9381, 9154, 36764, 24401, 4032, 1863, 9381, 5296, 14407, 24401, 3660, 12602, 3555, 3615, 6156, 9640, 7435, 10632, 10874, 3215, 33599, 12602, 3555, 3615, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 426, 5551, 9381, 12602, 3555, 3615, 37279, 995, 23328, 9673, 3555, 33599, 2288, 4724, 1829, 7435, 1829, 3555, 5296, 7435, 3215, 33599, 34762, 15844, 34762, 4724, 16254, 44713, 9778, 40448, 12174, 995, 22488, 3660, 30719, 1686, 7251, 3555, 4587, 7578, 2423, 4948, 5296, 15042, 2423, 426, 6055, 1863, 3794, 14407, 34762, 5296, 14407, 24401, 15844, 426, 37037, 16254, 34892, 3555, 3615, 426, 5551, 3794, 6027, 3555, 6055, 1211, 9307, 3660, 12602, 3555, 3615], "avg_logprob": -0.28506678706817046, "compression_ratio": 1.9366515837104072, "no_speech_prob": 0.0, "words": [{"start": 881.16, "end": 881.76, "word": "خمسة", "probability": 0.611297607421875}, {"start": 881.76, "end": 881.86, "word": " على", "probability": 0.6630859375}, {"start": 881.86, "end": 882.16, "word": " أربعة", "probability": 0.75537109375}, {"start": 882.16, "end": 882.56, "word": " واحد", "probability": 0.77734375}, {"start": 882.56, "end": 883.0, "word": " وربع", "probability": 0.7998046875}, {"start": 883.0, "end": 883.92, "word": " تلاتة", "probability": 0.79473876953125}, {"start": 883.92, "end": 884.06, "word": " على", "probability": 0.86376953125}, {"start": 884.06, "end": 884.38, "word": " اتنين", "probability": 0.939453125}, {"start": 884.38, "end": 885.06, "word": " واحد", "probability": 0.875244140625}, {"start": 885.06, "end": 885.72, "word": " ونص", "probability": 0.8824869791666666}, {"start": 885.72, "end": 886.4, "word": " من", "probability": 0.595703125}, {"start": 886.4, "end": 886.76, "word": " واحد", "probability": 0.98046875}, {"start": 886.76, "end": 887.12, "word": " ونص", "probability": 0.94970703125}, {"start": 887.12, "end": 887.56, "word": " لواحدة", "probability": 0.751708984375}, {"start": 887.56, "end": 887.72, "word": " ربع", "probability": 0.7389322916666666}, {"start": 887.72, "end": 888.12, "word": " فارجية", "probability": 0.705078125}, {"start": 888.12, "end": 888.96, "word": " جداش", "probability": 0.8068033854166666}, {"start": 888.96, "end": 889.54, "word": " ربع", "probability": 0.8841145833333334}, {"start": 889.54, "end": 890.14, "word": " يبقى", "probability": 0.9384765625}, {"start": 890.14, "end": 890.58, "word": " بصير", "probability": 0.9298502604166666}, {"start": 890.58, "end": 890.92, "word": " N", "probability": 0.54150390625}, {"start": 890.92, "end": 891.22, "word": " أص", "probability": 0.689453125}, {"start": 891.22, "end": 891.56, "word": " ربع", "probability": 0.7731119791666666}, {"start": 891.56, "end": 892.32, "word": " تعاود", "probability": 0.6314290364583334}, {"start": 892.32, "end": 892.86, "word": " المباشر", "probability": 0.970703125}, {"start": 892.86, "end": 893.14, "word": " بيجيب", "probability": 0.865576171875}, {"start": 893.14, "end": 893.84, "word": " لجداش", "probability": 0.7655029296875}, {"start": 893.84, "end": 894.9, "word": " Infinity", "probability": 0.281494140625}, {"start": 894.9, "end": 895.36, "word": " على", "probability": 0.7783203125}, {"start": 895.36, "end": 895.82, "word": " Infinity", "probability": 0.60107421875}, {"start": 895.82, "end": 896.22, "word": " بدي", "probability": 0.39306640625}, {"start": 896.22, "end": 896.84, "word": " استخدم", "probability": 0.85302734375}, {"start": 896.84, "end": 897.52, "word": " قاعدة", "probability": 0.979736328125}, {"start": 897.52, "end": 898.04, "word": " Lobital", "probability": 0.53619384765625}, {"start": 898.04, "end": 898.86, "word": " يبقى", "probability": 0.98388671875}, {"start": 898.86, "end": 899.02, "word": " ال", "probability": 0.463623046875}, {"start": 899.02, "end": 899.38, "word": " limit", "probability": 0.8798828125}, {"start": 899.38, "end": 899.82, "word": " لما", "probability": 0.869384765625}, {"start": 899.82, "end": 900.0, "word": " ال", "probability": 0.9677734375}, {"start": 900.0, "end": 900.3, "word": " N", "probability": 0.50048828125}, {"start": 900.3, "end": 900.76, "word": " تنسوا", "probability": 0.5888671875}, {"start": 900.76, "end": 901.24, "word": " Infinity", "probability": 0.36572265625}, {"start": 901.24, "end": 902.26, "word": " لواحد", "probability": 0.9319661458333334}, {"start": 902.26, "end": 902.66, "word": " على", "probability": 0.90234375}, {"start": 902.66, "end": 903.22, "word": " N", "probability": 0.98193359375}, {"start": 903.22, "end": 904.3, "word": " وهدي", "probability": 0.468505859375}, {"start": 904.3, "end": 905.12, "word": " الربع", "probability": 0.8917643229166666}, {"start": 905.12, "end": 905.68, "word": " N", "probability": 0.85546875}, {"start": 905.68, "end": 906.72, "word": " أسالب", "probability": 0.78662109375}, {"start": 906.72, "end": 907.38, "word": " تلاتة", "probability": 0.7630615234375}, {"start": 907.38, "end": 907.8, "word": " ربع", "probability": 0.8538411458333334}], "temperature": 1.0}, {"id": 43, "seek": 93497, "start": 908.31, "end": 934.97, "text": "يعني معنى هذا الكلام يساول أربعة تطلع برا وهذا ال limit لما ال N tends to infinity وطلع هذه فوق بصير N أس تلت تربع بالموجب وهذه بتنزل N تحت بعد الحذف والاختصارات بتقول إلى limit لما ال N tends to infinity لواحد على N أس ربع", "tokens": [40228, 22653, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 12610, 5551, 25513, 27884, 6055, 9566, 1211, 3615, 4724, 23557, 37037, 15730, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 4032, 9566, 1211, 3615, 29538, 6156, 30543, 4724, 9381, 13546, 426, 5551, 3794, 6055, 1211, 2655, 6055, 25513, 3615, 20666, 2304, 29245, 3555, 37037, 24192, 39894, 1863, 11622, 1211, 426, 6055, 33753, 39182, 21542, 8848, 5172, 16070, 47283, 2655, 9381, 9640, 9307, 39894, 39648, 30731, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 14407, 24401, 15844, 426, 5551, 3794, 12602, 3555, 3615], "avg_logprob": -0.19039948453608246, "compression_ratio": 1.7574257425742574, "no_speech_prob": 0.0, "words": [{"start": 908.31, "end": 908.75, "word": "يعني", "probability": 0.81591796875}, {"start": 908.75, "end": 909.27, "word": " معنى", "probability": 0.7312825520833334}, {"start": 909.27, "end": 909.63, "word": " هذا", "probability": 0.84033203125}, {"start": 909.63, "end": 910.45, "word": " الكلام", "probability": 0.9475911458333334}, {"start": 910.45, "end": 911.75, "word": " يساول", "probability": 0.8155517578125}, {"start": 911.75, "end": 912.45, "word": " أربعة", "probability": 0.7591145833333334}, {"start": 912.45, "end": 913.01, "word": " تطلع", "probability": 0.9439697265625}, {"start": 913.01, "end": 913.49, "word": " برا", "probability": 0.877197265625}, {"start": 913.49, "end": 914.55, "word": " وهذا", "probability": 0.835205078125}, {"start": 914.55, "end": 914.81, "word": " ال", "probability": 0.619140625}, {"start": 914.81, "end": 915.23, "word": " limit", "probability": 0.8935546875}, {"start": 915.23, "end": 915.71, "word": " لما", "probability": 0.86328125}, {"start": 915.71, "end": 915.95, "word": " ال", "probability": 0.95068359375}, {"start": 915.95, "end": 916.13, "word": " N", "probability": 0.58056640625}, {"start": 916.13, "end": 916.53, "word": " tends", "probability": 0.69189453125}, {"start": 916.53, "end": 916.79, "word": " to", "probability": 0.927734375}, {"start": 916.79, "end": 917.51, "word": " infinity", "probability": 0.82568359375}, {"start": 917.51, "end": 918.73, "word": " وطلع", "probability": 0.84423828125}, {"start": 918.73, "end": 919.07, "word": " هذه", "probability": 0.449462890625}, {"start": 919.07, "end": 919.41, "word": " فوق", "probability": 0.971435546875}, {"start": 919.41, "end": 919.87, "word": " بصير", "probability": 0.9085286458333334}, {"start": 919.87, "end": 920.23, "word": " N", "probability": 0.89990234375}, {"start": 920.23, "end": 920.53, "word": " أس", "probability": 0.663818359375}, {"start": 920.53, "end": 920.85, "word": " تلت", "probability": 0.8248697916666666}, {"start": 920.85, "end": 921.23, "word": " تربع", "probability": 0.7076009114583334}, {"start": 921.23, "end": 921.95, "word": " بالموجب", "probability": 0.9544677734375}, {"start": 921.95, "end": 922.71, "word": " وهذه", "probability": 0.662841796875}, {"start": 922.71, "end": 923.45, "word": " بتنزل", "probability": 0.81414794921875}, {"start": 923.45, "end": 923.89, "word": " N", "probability": 0.88818359375}, {"start": 923.89, "end": 924.49, "word": " تحت", "probability": 0.9931640625}, {"start": 924.49, "end": 925.21, "word": " بعد", "probability": 0.857421875}, {"start": 925.21, "end": 925.89, "word": " الحذف", "probability": 0.8995768229166666}, {"start": 925.89, "end": 927.27, "word": " والاختصارات", "probability": 0.9287109375}, {"start": 927.27, "end": 928.09, "word": " بتقول", "probability": 0.888916015625}, {"start": 928.09, "end": 928.41, "word": " إلى", "probability": 0.460693359375}, {"start": 928.41, "end": 928.85, "word": " limit", "probability": 0.9794921875}, {"start": 928.85, "end": 929.21, "word": " لما", "probability": 0.972900390625}, {"start": 929.21, "end": 929.41, "word": " ال", "probability": 0.8779296875}, {"start": 929.41, "end": 929.63, "word": " N", "probability": 0.97900390625}, {"start": 929.63, "end": 930.01, "word": " tends", "probability": 0.81396484375}, {"start": 930.01, "end": 930.23, "word": " to", "probability": 0.96337890625}, {"start": 930.23, "end": 930.95, "word": " infinity", "probability": 0.8701171875}, {"start": 930.95, "end": 932.49, "word": " لواحد", "probability": 0.9085286458333334}, {"start": 932.49, "end": 933.07, "word": " على", "probability": 0.81298828125}, {"start": 933.07, "end": 933.71, "word": " N", "probability": 0.958984375}, {"start": 933.71, "end": 934.31, "word": " أس", "probability": 0.950439453125}, {"start": 934.31, "end": 934.97, "word": " ربع", "probability": 0.7561848958333334}], "temperature": 1.0}, {"id": 44, "seek": 96371, "start": 936.85, "end": 963.71, "text": "وحدة على مالة نهاية يعني هذه بتصير أربعة في زيرو اللي هو بتساوي جداش زيرو بالشكل اللي عنها طيب تبع في المقام converge والنتيجة تساوي زيرو بقول له by the limit comparison test the series اللي هي converge", "tokens": [2407, 24401, 3660, 15844, 3714, 6027, 3660, 8717, 11296, 10632, 37495, 22653, 29538, 39894, 9381, 13546, 5551, 25513, 27884, 8978, 30767, 13546, 2407, 13672, 1829, 31439, 39894, 3794, 995, 45865, 10874, 3215, 33599, 30767, 13546, 2407, 20666, 8592, 28820, 13672, 1829, 18871, 11296, 23032, 1829, 3555, 6055, 3555, 3615, 8978, 9673, 4587, 10943, 41881, 16070, 29399, 1829, 7435, 3660, 6055, 3794, 995, 45865, 30767, 13546, 2407, 4724, 39648, 46740, 538, 264, 4948, 9660, 1500, 264, 2638, 13672, 1829, 39896, 41881], "avg_logprob": -0.30922068489922416, "compression_ratio": 1.6224489795918366, "no_speech_prob": 0.0, "words": [{"start": 936.85, "end": 937.39, "word": "وحدة", "probability": 0.4617106119791667}, {"start": 937.39, "end": 937.49, "word": " على", "probability": 0.650390625}, {"start": 937.49, "end": 937.87, "word": " مالة", "probability": 0.5299479166666666}, {"start": 937.87, "end": 938.47, "word": " نهاية", "probability": 0.9059244791666666}, {"start": 938.47, "end": 939.89, "word": " يعني", "probability": 0.779296875}, {"start": 939.89, "end": 940.29, "word": " هذه", "probability": 0.54443359375}, {"start": 940.29, "end": 940.93, "word": " بتصير", "probability": 0.753662109375}, {"start": 940.93, "end": 941.61, "word": " أربعة", "probability": 0.779296875}, {"start": 941.61, "end": 941.93, "word": " في", "probability": 0.91455078125}, {"start": 941.93, "end": 942.49, "word": " زيرو", "probability": 0.8268229166666666}, {"start": 942.49, "end": 942.65, "word": " اللي", "probability": 0.7568359375}, {"start": 942.65, "end": 942.77, "word": " هو", "probability": 0.9150390625}, {"start": 942.77, "end": 943.29, "word": " بتساوي", "probability": 0.5787353515625}, {"start": 943.29, "end": 944.05, "word": " جداش", "probability": 0.6073404947916666}, {"start": 944.05, "end": 945.23, "word": " زيرو", "probability": 0.72314453125}, {"start": 945.23, "end": 945.79, "word": " بالشكل", "probability": 0.9557291666666666}, {"start": 945.79, "end": 945.95, "word": " اللي", "probability": 0.942138671875}, {"start": 945.95, "end": 946.27, "word": " عنها", "probability": 0.7724609375}, {"start": 946.27, "end": 946.89, "word": " طيب", "probability": 0.8592122395833334}, {"start": 946.89, "end": 947.61, "word": " تبع", "probability": 0.6746419270833334}, {"start": 947.61, "end": 947.75, "word": " في", "probability": 0.92431640625}, {"start": 947.75, "end": 948.29, "word": " المقام", "probability": 0.98291015625}, {"start": 948.29, "end": 949.01, "word": " converge", "probability": 0.89208984375}, {"start": 949.01, "end": 950.43, "word": " والنتيجة", "probability": 0.877734375}, {"start": 950.43, "end": 951.01, "word": " تساوي", "probability": 0.9583740234375}, {"start": 951.01, "end": 951.55, "word": " زيرو", "probability": 0.9220377604166666}, {"start": 951.55, "end": 952.43, "word": " بقول", "probability": 0.9453125}, {"start": 952.43, "end": 952.69, "word": " له", "probability": 0.3603515625}, {"start": 952.69, "end": 953.29, "word": " by", "probability": 0.65771484375}, {"start": 953.29, "end": 955.71, "word": " the", "probability": 0.72265625}, {"start": 955.71, "end": 956.97, "word": " limit", "probability": 0.908203125}, {"start": 956.97, "end": 958.15, "word": " comparison", "probability": 0.92822265625}, {"start": 958.15, "end": 959.07, "word": " test", "probability": 0.9384765625}, {"start": 959.07, "end": 959.81, "word": " the", "probability": 0.64892578125}, {"start": 959.81, "end": 960.89, "word": " series", "probability": 0.92822265625}, {"start": 960.89, "end": 962.57, "word": " اللي", "probability": 0.61865234375}, {"start": 962.57, "end": 962.99, "word": " هي", "probability": 0.5234375}, {"start": 962.99, "end": 963.71, "word": " converge", "probability": 0.77099609375}], "temperature": 1.0}, {"id": 45, "seek": 98440, "start": 964.52, "end": 984.4, "text": "على اي حال هذا السؤال يعتبر من المسائل الصعبة اللي موجودة في التمرين يبقى وصلنا الى exercises عشرة اربعة المسائل التالية من عند الواحد لغاية اربعة و خمسين الاد", "tokens": [3615, 23942, 1975, 1829, 11331, 6027, 23758, 21136, 33604, 6027, 7251, 34268, 26890, 9154, 9673, 3794, 16373, 1211, 31767, 3615, 49401, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 16712, 29973, 9957, 7251, 3555, 4587, 7578, 4032, 36520, 8315, 2423, 7578, 11900, 6225, 8592, 25720, 1975, 25513, 27884, 9673, 3794, 16373, 1211, 16712, 6027, 10632, 9154, 43242, 2423, 14407, 24401, 5296, 17082, 995, 10632, 1975, 25513, 27884, 4032, 16490, 2304, 3794, 9957, 2423, 18513], "avg_logprob": -0.14822634450487188, "compression_ratio": 1.6726190476190477, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 964.52, "end": 964.92, "word": "على", "probability": 0.869384765625}, {"start": 964.92, "end": 965.1, "word": " اي", "probability": 0.6156005859375}, {"start": 965.1, "end": 965.4, "word": " حال", "probability": 0.9912109375}, {"start": 965.4, "end": 965.66, "word": " هذا", "probability": 0.41943359375}, {"start": 965.66, "end": 966.28, "word": " السؤال", "probability": 0.9892578125}, {"start": 966.28, "end": 967.24, "word": " يعتبر", "probability": 0.9601236979166666}, {"start": 967.24, "end": 967.44, "word": " من", "probability": 0.97705078125}, {"start": 967.44, "end": 968.04, "word": " المسائل", "probability": 0.931396484375}, {"start": 968.04, "end": 968.54, "word": " الصعبة", "probability": 0.9920247395833334}, {"start": 968.54, "end": 968.68, "word": " اللي", "probability": 0.62939453125}, {"start": 968.68, "end": 969.46, "word": " موجودة", "probability": 0.991943359375}, {"start": 969.46, "end": 969.8, "word": " في", "probability": 0.9130859375}, {"start": 969.8, "end": 970.78, "word": " التمرين", "probability": 0.9840494791666666}, {"start": 970.78, "end": 971.76, "word": " يبقى", "probability": 0.9473876953125}, {"start": 971.76, "end": 972.48, "word": " وصلنا", "probability": 0.9759114583333334}, {"start": 972.48, "end": 972.82, "word": " الى", "probability": 0.765869140625}, {"start": 972.82, "end": 973.72, "word": " exercises", "probability": 0.88232421875}, {"start": 973.72, "end": 974.74, "word": " عشرة", "probability": 0.8050944010416666}, {"start": 974.74, "end": 975.62, "word": " اربعة", "probability": 0.7667643229166666}, {"start": 975.62, "end": 977.5, "word": " المسائل", "probability": 0.93017578125}, {"start": 977.5, "end": 978.58, "word": " التالية", "probability": 0.99462890625}, {"start": 978.58, "end": 979.24, "word": " من", "probability": 0.8701171875}, {"start": 979.24, "end": 979.62, "word": " عند", "probability": 0.65966796875}, {"start": 979.62, "end": 980.56, "word": " الواحد", "probability": 0.9734700520833334}, {"start": 980.56, "end": 981.68, "word": " لغاية", "probability": 0.9896240234375}, {"start": 981.68, "end": 982.22, "word": " اربعة", "probability": 0.8035481770833334}, {"start": 982.22, "end": 982.38, "word": " و", "probability": 0.99267578125}, {"start": 982.38, "end": 983.38, "word": " خمسين", "probability": 0.8846435546875}, {"start": 983.38, "end": 984.4, "word": " الاد", "probability": 0.4097900390625}], "temperature": 1.0}, {"id": 46, "seek": 100401, "start": 1002.43, "end": 1004.01, "text": "هذا البرنامج موجود في مدينة مصر", "tokens": [3224, 15730, 2423, 26890, 8315, 2304, 7435, 3714, 29245, 23328, 8978, 3714, 3215, 9957, 3660, 3714, 9381, 2288], "avg_logprob": -1.0057565538506759, "compression_ratio": 0.95, "no_speech_prob": 0.07598876953125, "words": [{"start": 1002.4300000000001, "end": 1003.83, "word": "هذا", "probability": 0.204315185546875}, {"start": 1003.83, "end": 1004.01, "word": " البرنامج", "probability": 0.58714599609375}, {"start": 1004.01, "end": 1004.01, "word": " موجود", "probability": 0.3447672526041667}, {"start": 1004.01, "end": 1004.01, "word": " في", "probability": 0.541015625}, {"start": 1004.01, "end": 1004.01, "word": " مدينة", "probability": 0.6470947265625}, {"start": 1004.01, "end": 1004.01, "word": " مصر", "probability": 0.4189656575520833}], "temperature": 1.0}, {"id": 47, "seek": 103400, "start": 1007.6, "end": 1034.0, "text": "بنجي لقى ل section عشرة خمسة في عشرة خمسة هناخد الاختبارين اللي بالعت علينا واحد اسمه اختبار النسبة the ratio test والثاني اختبار الجذر النوني مش الحد النوني الجذر النوني اللي هو ال answer هو ال test يبقى عشرة خمسة اللي هو من the ratio", "tokens": [3555, 1863, 7435, 1829, 5296, 4587, 7578, 5296, 3541, 6225, 8592, 25720, 16490, 2304, 3794, 3660, 8978, 6225, 8592, 25720, 16490, 2304, 3794, 3660, 8032, 1863, 47283, 3215, 2423, 47283, 2655, 3555, 9640, 9957, 13672, 1829, 20666, 34268, 25894, 8315, 36764, 24401, 24525, 2304, 3224, 1975, 46456, 3555, 9640, 28239, 35457, 3660, 264, 8509, 1500, 16070, 12984, 7649, 1829, 1975, 46456, 3555, 9640, 25724, 8848, 2288, 28239, 11536, 1829, 37893, 21542, 3215, 28239, 11536, 1829, 25724, 8848, 2288, 28239, 11536, 1829, 13672, 1829, 31439, 2423, 1867, 31439, 2423, 1500, 7251, 3555, 4587, 7578, 6225, 8592, 25720, 16490, 2304, 3794, 3660, 13672, 1829, 31439, 9154, 264, 8509], "avg_logprob": -0.1813668193661164, "compression_ratio": 2.058201058201058, "no_speech_prob": 0.0, "words": [{"start": 1007.6, "end": 1008.12, "word": "بنجي", "probability": 0.5665283203125}, {"start": 1008.12, "end": 1008.32, "word": " لقى", "probability": 0.5647786458333334}, {"start": 1008.32, "end": 1008.48, "word": " ل", "probability": 0.80908203125}, {"start": 1008.48, "end": 1008.82, "word": " section", "probability": 0.568359375}, {"start": 1008.82, "end": 1009.54, "word": " عشرة", "probability": 0.7908528645833334}, {"start": 1009.54, "end": 1010.32, "word": " خمسة", "probability": 0.8958740234375}, {"start": 1010.32, "end": 1010.94, "word": " في", "probability": 0.72216796875}, {"start": 1010.94, "end": 1011.46, "word": " عشرة", "probability": 0.91796875}, {"start": 1011.46, "end": 1011.9, "word": " خمسة", "probability": 0.9862060546875}, {"start": 1011.9, "end": 1012.38, "word": " هناخد", "probability": 0.885009765625}, {"start": 1012.38, "end": 1013.28, "word": " الاختبارين", "probability": 0.8833821614583334}, {"start": 1013.28, "end": 1013.46, "word": " اللي", "probability": 0.900634765625}, {"start": 1013.46, "end": 1013.94, "word": " بالعت", "probability": 0.2816162109375}, {"start": 1013.94, "end": 1014.5, "word": " علينا", "probability": 0.938720703125}, {"start": 1014.5, "end": 1015.32, "word": " واحد", "probability": 0.944091796875}, {"start": 1015.32, "end": 1015.68, "word": " اسمه", "probability": 0.9117838541666666}, {"start": 1015.68, "end": 1016.16, "word": " اختبار", "probability": 0.987060546875}, {"start": 1016.16, "end": 1016.74, "word": " النسبة", "probability": 0.8948567708333334}, {"start": 1016.74, "end": 1016.86, "word": " the", "probability": 0.454833984375}, {"start": 1016.86, "end": 1017.22, "word": " ratio", "probability": 0.970703125}, {"start": 1017.22, "end": 1017.64, "word": " test", "probability": 0.87255859375}, {"start": 1017.64, "end": 1018.4, "word": " والثاني", "probability": 0.73443603515625}, {"start": 1018.4, "end": 1019.52, "word": " اختبار", "probability": 0.987548828125}, {"start": 1019.52, "end": 1020.64, "word": " الجذر", "probability": 0.8369140625}, {"start": 1020.64, "end": 1021.26, "word": " النوني", "probability": 0.84130859375}, {"start": 1021.26, "end": 1021.48, "word": " مش", "probability": 0.92333984375}, {"start": 1021.48, "end": 1021.92, "word": " الحد", "probability": 0.947509765625}, {"start": 1021.92, "end": 1022.52, "word": " النوني", "probability": 0.9305013020833334}, {"start": 1022.52, "end": 1023.62, "word": " الجذر", "probability": 0.9708658854166666}, {"start": 1023.62, "end": 1023.94, "word": " النوني", "probability": 0.9694010416666666}, {"start": 1023.94, "end": 1024.06, "word": " اللي", "probability": 0.9287109375}, {"start": 1024.06, "end": 1024.16, "word": " هو", "probability": 0.92041015625}, {"start": 1024.16, "end": 1024.26, "word": " ال", "probability": 0.85400390625}, {"start": 1024.26, "end": 1024.74, "word": " answer", "probability": 0.77294921875}, {"start": 1024.74, "end": 1025.02, "word": " هو", "probability": 0.425537109375}, {"start": 1025.02, "end": 1025.38, "word": " ال", "probability": 0.90087890625}, {"start": 1025.38, "end": 1025.74, "word": " test", "probability": 0.9609375}, {"start": 1025.74, "end": 1026.8, "word": " يبقى", "probability": 0.950439453125}, {"start": 1026.8, "end": 1027.38, "word": " عشرة", "probability": 0.9202473958333334}, {"start": 1027.38, "end": 1028.32, "word": " خمسة", "probability": 0.9879150390625}, {"start": 1028.32, "end": 1030.16, "word": " اللي", "probability": 0.962646484375}, {"start": 1030.16, "end": 1030.38, "word": " هو", "probability": 0.94921875}, {"start": 1030.38, "end": 1030.78, "word": " من", "probability": 0.978515625}, {"start": 1030.78, "end": 1031.82, "word": " the", "probability": 0.8740234375}, {"start": 1031.82, "end": 1034.0, "word": " ratio", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 48, "seek": 106433, "start": 1035.87, "end": 1064.33, "text": "and in throat tests يبقى اختبار النسبة واختبار الجذر النوني ناخد الاختبار الأول اللي هو the ratio test بيقول ال net summation على a n", "tokens": [474, 294, 12394, 6921, 7251, 3555, 4587, 7578, 1975, 46456, 3555, 9640, 28239, 35457, 3660, 4032, 47283, 2655, 3555, 9640, 25724, 8848, 2288, 28239, 11536, 1829, 8717, 47283, 3215, 2423, 47283, 2655, 3555, 9640, 16247, 12610, 13672, 1829, 31439, 264, 8509, 1500, 4724, 1829, 39648, 2423, 2533, 28811, 15844, 257, 297], "avg_logprob": -0.2759915842459752, "compression_ratio": 1.492537313432836, "no_speech_prob": 0.0, "words": [{"start": 1035.87, "end": 1036.81, "word": "and", "probability": 0.421630859375}, {"start": 1036.81, "end": 1038.55, "word": " in", "probability": 0.064453125}, {"start": 1038.55, "end": 1040.23, "word": " throat", "probability": 0.493408203125}, {"start": 1040.23, "end": 1041.73, "word": " tests", "probability": 0.72119140625}, {"start": 1041.73, "end": 1044.49, "word": " يبقى", "probability": 0.8441162109375}, {"start": 1044.49, "end": 1045.05, "word": " اختبار", "probability": 0.9642333984375}, {"start": 1045.05, "end": 1045.69, "word": " النسبة", "probability": 0.9777018229166666}, {"start": 1045.69, "end": 1046.61, "word": " واختبار", "probability": 0.89033203125}, {"start": 1046.61, "end": 1047.25, "word": " الجذر", "probability": 0.97265625}, {"start": 1047.25, "end": 1047.83, "word": " النوني", "probability": 0.8517252604166666}, {"start": 1047.83, "end": 1048.83, "word": " ناخد", "probability": 0.9417317708333334}, {"start": 1048.83, "end": 1049.57, "word": " الاختبار", "probability": 0.9396484375}, {"start": 1049.57, "end": 1050.47, "word": " الأول", "probability": 0.772705078125}, {"start": 1050.47, "end": 1051.53, "word": " اللي", "probability": 0.80517578125}, {"start": 1051.53, "end": 1051.83, "word": " هو", "probability": 0.9755859375}, {"start": 1051.83, "end": 1052.07, "word": " the", "probability": 0.7041015625}, {"start": 1052.07, "end": 1053.11, "word": " ratio", "probability": 0.95947265625}, {"start": 1053.11, "end": 1054.89, "word": " test", "probability": 0.88818359375}, {"start": 1054.89, "end": 1059.81, "word": " بيقول", "probability": 0.9093424479166666}, {"start": 1059.81, "end": 1060.01, "word": " ال", "probability": 0.43505859375}, {"start": 1060.01, "end": 1060.39, "word": " net", "probability": 0.138427734375}, {"start": 1060.39, "end": 1062.37, "word": " summation", "probability": 0.74267578125}, {"start": 1062.37, "end": 1063.37, "word": " على", "probability": 0.74755859375}, {"start": 1063.37, "end": 1063.79, "word": " a", "probability": 0.58935546875}, {"start": 1063.79, "end": 1064.33, "word": " n", "probability": 0.47607421875}], "temperature": 1.0}, {"id": 49, "seek": 109263, "start": 1067.41, "end": 1092.63, "text": "بسيريز with positive terms سيريز with positive terms and suppose that and suppose that", "tokens": [3555, 3794, 13546, 1829, 11622, 365, 3353, 2115, 8608, 13546, 1829, 11622, 365, 3353, 2115, 293, 7297, 300, 293, 7297, 300], "avg_logprob": -0.3069957481189208, "compression_ratio": 1.6724137931034482, "no_speech_prob": 0.0, "words": [{"start": 1067.4099999999999, "end": 1068.81, "word": "بسيريز", "probability": 0.696142578125}, {"start": 1068.81, "end": 1070.21, "word": " with", "probability": 0.135009765625}, {"start": 1070.21, "end": 1072.07, "word": " positive", "probability": 0.90673828125}, {"start": 1072.07, "end": 1075.17, "word": " terms", "probability": 0.8818359375}, {"start": 1075.17, "end": 1080.05, "word": " سيريز", "probability": 0.8226318359375}, {"start": 1080.05, "end": 1080.31, "word": " with", "probability": 0.8994140625}, {"start": 1080.31, "end": 1080.85, "word": " positive", "probability": 0.96142578125}, {"start": 1080.85, "end": 1081.61, "word": " terms", "probability": 0.91015625}, {"start": 1081.61, "end": 1083.23, "word": " and", "probability": 0.8046875}, {"start": 1083.23, "end": 1085.27, "word": " suppose", "probability": 0.8671875}, {"start": 1085.27, "end": 1085.93, "word": " that", "probability": 0.95263671875}, {"start": 1085.93, "end": 1091.47, "word": " and", "probability": 0.7373046875}, {"start": 1091.47, "end": 1091.85, "word": " suppose", "probability": 0.94921875}, {"start": 1091.85, "end": 1092.63, "word": " that", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 50, "seek": 112181, "start": 1097.43, "end": 1121.81, "text": "limit لما ال n tends to infinity لل a n plus one على a n بده يساوي raw then نمرة واحد the series summation على a n converge", "tokens": [4197, 270, 5296, 15042, 2423, 297, 12258, 281, 13202, 24976, 257, 297, 1804, 472, 15844, 257, 297, 47525, 3224, 7251, 3794, 995, 45865, 8936, 550, 8717, 2304, 25720, 36764, 24401, 264, 2638, 28811, 15844, 257, 297, 41881], "avg_logprob": -0.41570722664657395, "compression_ratio": 1.2063492063492063, "no_speech_prob": 0.0, "words": [{"start": 1097.43, "end": 1098.31, "word": "limit", "probability": 0.530029296875}, {"start": 1098.31, "end": 1099.79, "word": " لما", "probability": 0.802734375}, {"start": 1099.79, "end": 1100.03, "word": " ال", "probability": 0.90478515625}, {"start": 1100.03, "end": 1100.31, "word": " n", "probability": 0.1326904296875}, {"start": 1100.31, "end": 1100.73, "word": " tends", "probability": 0.6337890625}, {"start": 1100.73, "end": 1101.01, "word": " to", "probability": 0.90234375}, {"start": 1101.01, "end": 1101.97, "word": " infinity", "probability": 0.869140625}, {"start": 1101.97, "end": 1103.57, "word": " لل", "probability": 0.6435546875}, {"start": 1103.57, "end": 1104.15, "word": " a", "probability": 0.68359375}, {"start": 1104.15, "end": 1104.83, "word": " n", "probability": 0.83935546875}, {"start": 1104.83, "end": 1105.29, "word": " plus", "probability": 0.94677734375}, {"start": 1105.29, "end": 1106.07, "word": " one", "probability": 0.9091796875}, {"start": 1106.07, "end": 1106.59, "word": " على", "probability": 0.52978515625}, {"start": 1106.59, "end": 1107.07, "word": " a", "probability": 0.9267578125}, {"start": 1107.07, "end": 1107.49, "word": " n", "probability": 0.9658203125}, {"start": 1107.49, "end": 1107.97, "word": " بده", "probability": 0.5001220703125}, {"start": 1107.97, "end": 1108.75, "word": " يساوي", "probability": 0.9417724609375}, {"start": 1108.75, "end": 1109.31, "word": " raw", "probability": 0.318359375}, {"start": 1109.31, "end": 1110.59, "word": " then", "probability": 0.3974609375}, {"start": 1110.59, "end": 1112.51, "word": " نمرة", "probability": 0.4860026041666667}, {"start": 1112.51, "end": 1113.11, "word": " واحد", "probability": 0.989990234375}, {"start": 1113.11, "end": 1114.63, "word": " the", "probability": 0.6103515625}, {"start": 1114.63, "end": 1115.61, "word": " series", "probability": 0.90380859375}, {"start": 1115.61, "end": 1118.55, "word": " summation", "probability": 0.8115234375}, {"start": 1118.55, "end": 1119.49, "word": " على", "probability": 0.79638671875}, {"start": 1119.49, "end": 1120.05, "word": " a", "probability": 0.9775390625}, {"start": 1120.05, "end": 1120.59, "word": " n", "probability": 0.97900390625}, {"start": 1120.59, "end": 1121.81, "word": " converge", "probability": 0.363037109375}], "temperature": 1.0}, {"id": 51, "seek": 114853, "start": 1146.43, "end": 1148.53, "text": "نقطة التالتة", "tokens": [1863, 47432, 3660, 16712, 6027, 2655, 3660], "avg_logprob": -0.4033203125, "compression_ratio": 0.8518518518518519, "no_speech_prob": 0.0, "words": [{"start": 1146.4299999999998, "end": 1147.83, "word": "نقطة", "probability": 0.6496785481770834}, {"start": 1147.83, "end": 1148.53, "word": " التالتة", "probability": 0.909912109375}], "temperature": 1.0}, {"id": 52, "seek": 117958, "start": 1151.23, "end": 1179.59, "text": "the test is inconclusive او fail بيفشل افرط ساوي واحد نمرا اتنين the inferred test", "tokens": [3322, 1500, 307, 20972, 66, 7233, 1975, 2407, 3061, 4724, 33911, 8592, 1211, 1975, 5172, 2288, 9566, 8608, 995, 45865, 36764, 24401, 8717, 2304, 23557, 1975, 2655, 1863, 9957, 264, 1536, 260, 986, 1500], "avg_logprob": -0.31718749489103043, "compression_ratio": 1.0476190476190477, "no_speech_prob": 0.0, "words": [{"start": 1151.23, "end": 1151.71, "word": "the", "probability": 0.5078125}, {"start": 1151.71, "end": 1153.09, "word": " test", "probability": 0.896484375}, {"start": 1153.09, "end": 1154.81, "word": " is", "probability": 0.94287109375}, {"start": 1154.81, "end": 1157.97, "word": " inconclusive", "probability": 0.9142252604166666}, {"start": 1157.97, "end": 1160.15, "word": " او", "probability": 0.637939453125}, {"start": 1160.15, "end": 1160.95, "word": " fail", "probability": 0.64453125}, {"start": 1160.95, "end": 1163.09, "word": " بيفشل", "probability": 0.92236328125}, {"start": 1163.09, "end": 1165.49, "word": " افرط", "probability": 0.70806884765625}, {"start": 1165.49, "end": 1166.27, "word": " ساوي", "probability": 0.8538411458333334}, {"start": 1166.27, "end": 1167.05, "word": " واحد", "probability": 0.978271484375}, {"start": 1167.05, "end": 1169.13, "word": " نمرا", "probability": 0.5428059895833334}, {"start": 1169.13, "end": 1169.79, "word": " اتنين", "probability": 0.960205078125}, {"start": 1169.79, "end": 1171.75, "word": " the", "probability": 0.5625}, {"start": 1171.75, "end": 1177.97, "word": " inferred", "probability": 0.4337565104166667}, {"start": 1177.97, "end": 1179.59, "word": " test", "probability": 0.9033203125}], "temperature": 1.0}, {"id": 53, "seek": 121020, "start": 1185.28, "end": 1210.2, "text": "انتروت تست بيقول لات summation على a n ب a series ب a series with", "tokens": [7649, 2655, 32887, 2655, 6055, 14851, 4724, 1829, 39648, 5296, 9307, 28811, 15844, 257, 297, 4724, 257, 2638, 4724, 257, 2638, 365], "avg_logprob": -0.5458559886268948, "compression_ratio": 1.1012658227848102, "no_speech_prob": 0.0, "words": [{"start": 1185.28, "end": 1186.2, "word": "انتروت", "probability": 0.47998046875}, {"start": 1186.2, "end": 1186.58, "word": " تست", "probability": 0.818115234375}, {"start": 1186.58, "end": 1191.4, "word": " بيقول", "probability": 0.5602213541666666}, {"start": 1191.4, "end": 1191.9, "word": " لات", "probability": 0.3172607421875}, {"start": 1191.9, "end": 1197.48, "word": " summation", "probability": 0.59228515625}, {"start": 1197.48, "end": 1200.4, "word": " على", "probability": 0.6748046875}, {"start": 1200.4, "end": 1200.8, "word": " a", "probability": 0.418701171875}, {"start": 1200.8, "end": 1201.32, "word": " n", "probability": 0.60888671875}, {"start": 1201.32, "end": 1202.58, "word": " ب", "probability": 0.91650390625}, {"start": 1202.58, "end": 1203.92, "word": " a", "probability": 0.90283203125}, {"start": 1203.92, "end": 1205.12, "word": " series", "probability": 0.8486328125}, {"start": 1205.12, "end": 1207.22, "word": " ب", "probability": 0.84130859375}, {"start": 1207.22, "end": 1207.86, "word": " a", "probability": 0.90380859375}, {"start": 1207.86, "end": 1208.52, "word": " series", "probability": 0.92822265625}, {"start": 1208.52, "end": 1210.2, "word": " with", "probability": 0.9296875}], "temperature": 1.0}, {"id": 54, "seek": 124026, "start": 1211.88, "end": 1240.26, "text": "الـ a n greater than or equal to zero for n greater than capital N and suppose that وافترض انه limit الجذري النوني", "tokens": [6027, 39184, 257, 297, 5044, 813, 420, 2681, 281, 4018, 337, 297, 5044, 813, 4238, 426, 293, 7297, 300, 4032, 31845, 2655, 43042, 16472, 3224, 4948, 25724, 8848, 16572, 28239, 11536, 1829], "avg_logprob": -0.26017992424242425, "compression_ratio": 1.1596638655462186, "no_speech_prob": 0.0, "words": [{"start": 1211.88, "end": 1212.42, "word": "الـ", "probability": 0.47021484375}, {"start": 1212.42, "end": 1212.76, "word": " a", "probability": 0.2147216796875}, {"start": 1212.76, "end": 1213.38, "word": " n", "probability": 0.56103515625}, {"start": 1213.38, "end": 1214.74, "word": " greater", "probability": 0.465576171875}, {"start": 1214.74, "end": 1215.56, "word": " than", "probability": 0.9541015625}, {"start": 1215.56, "end": 1215.98, "word": " or", "probability": 0.94775390625}, {"start": 1215.98, "end": 1216.32, "word": " equal", "probability": 0.9384765625}, {"start": 1216.32, "end": 1216.86, "word": " to", "probability": 0.98681640625}, {"start": 1216.86, "end": 1217.42, "word": " zero", "probability": 0.65478515625}, {"start": 1217.42, "end": 1219.28, "word": " for", "probability": 0.88037109375}, {"start": 1219.28, "end": 1221.38, "word": " n", "probability": 0.8232421875}, {"start": 1221.38, "end": 1222.38, "word": " greater", "probability": 0.900390625}, {"start": 1222.38, "end": 1223.12, "word": " than", "probability": 0.9609375}, {"start": 1223.12, "end": 1223.94, "word": " capital", "probability": 0.85400390625}, {"start": 1223.94, "end": 1224.48, "word": " N", "probability": 0.8037109375}, {"start": 1224.48, "end": 1226.74, "word": " and", "probability": 0.45166015625}, {"start": 1226.74, "end": 1228.92, "word": " suppose", "probability": 0.87451171875}, {"start": 1228.92, "end": 1229.92, "word": " that", "probability": 0.92529296875}, {"start": 1229.92, "end": 1233.64, "word": " وافترض", "probability": 0.8465576171875}, {"start": 1233.64, "end": 1234.6, "word": " انه", "probability": 0.7186279296875}, {"start": 1234.6, "end": 1237.08, "word": " limit", "probability": 0.95068359375}, {"start": 1237.08, "end": 1239.56, "word": " الجذري", "probability": 0.9187825520833334}, {"start": 1239.56, "end": 1240.26, "word": " النوني", "probability": 0.8937174479166666}], "temperature": 1.0}, {"id": 55, "seek": 124698, "start": 1240.8, "end": 1246.98, "text": "للحد إنني لما ال in tends to infinity يساوي را", "tokens": [1211, 1211, 24401, 36145, 22653, 5296, 15042, 2423, 294, 12258, 281, 13202, 7251, 3794, 995, 45865, 12602, 995], "avg_logprob": -0.45805921366340235, "compression_ratio": 0.9166666666666666, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1240.8, "end": 1241.72, "word": "للحد", "probability": 0.7364908854166666}, {"start": 1241.72, "end": 1242.48, "word": " إنني", "probability": 0.3212890625}, {"start": 1242.48, "end": 1243.52, "word": " لما", "probability": 0.8671875}, {"start": 1243.52, "end": 1243.7, "word": " ال", "probability": 0.935546875}, {"start": 1243.7, "end": 1244.08, "word": " in", "probability": 0.19091796875}, {"start": 1244.08, "end": 1244.44, "word": " tends", "probability": 0.322021484375}, {"start": 1244.44, "end": 1244.66, "word": " to", "probability": 0.92236328125}, {"start": 1244.66, "end": 1245.38, "word": " infinity", "probability": 0.83935546875}, {"start": 1245.38, "end": 1246.42, "word": " يساوي", "probability": 0.970458984375}, {"start": 1246.42, "end": 1246.98, "word": " را", "probability": 0.55126953125}], "temperature": 1.0}, {"id": 56, "seek": 132170, "start": 1312.5, "end": 1321.7, "text": "السؤال الأول summation من n equal one to infinity", "tokens": [6027, 3794, 33604, 6027, 16247, 12610, 28811, 9154, 297, 2681, 472, 281, 13202], "avg_logprob": -0.5292968877724239, "compression_ratio": 0.9393939393939394, "no_speech_prob": 0.0, "words": [{"start": 1312.5, "end": 1313.74, "word": "السؤال", "probability": 0.746002197265625}, {"start": 1313.74, "end": 1314.3, "word": " الأول", "probability": 0.903564453125}, {"start": 1314.3, "end": 1317.12, "word": " summation", "probability": 0.08465576171875}, {"start": 1317.12, "end": 1318.6, "word": " من", "probability": 0.83544921875}, {"start": 1318.6, "end": 1319.02, "word": " n", "probability": 0.439453125}, {"start": 1319.02, "end": 1319.58, "word": " equal", "probability": 0.09832763671875}, {"start": 1319.58, "end": 1320.16, "word": " one", "probability": 0.81982421875}, {"start": 1320.16, "end": 1320.78, "word": " to", "probability": 0.9306640625}, {"start": 1320.78, "end": 1321.7, "word": " infinity", "probability": 0.8447265625}], "temperature": 1.0}, {"id": 57, "seek": 132832, "start": 1322.36, "end": 1328.32, "text": "للإن فاكتوريال على عشرة to the power N", "tokens": [1211, 1211, 28814, 1863, 6156, 995, 4117, 2655, 13063, 1829, 6027, 15844, 6225, 8592, 25720, 281, 264, 1347, 426], "avg_logprob": -0.467578125, "compression_ratio": 0.8787878787878788, "no_speech_prob": 0.0, "words": [{"start": 1322.36, "end": 1323.4, "word": "للإن", "probability": 0.53973388671875}, {"start": 1323.4, "end": 1324.64, "word": " فاكتوريال", "probability": 0.8037109375}, {"start": 1324.64, "end": 1325.7, "word": " على", "probability": 0.6083984375}, {"start": 1325.7, "end": 1326.82, "word": " عشرة", "probability": 0.9521484375}, {"start": 1326.82, "end": 1327.08, "word": " to", "probability": 0.1656494140625}, {"start": 1327.08, "end": 1327.22, "word": " the", "probability": 0.8984375}, {"start": 1327.22, "end": 1327.76, "word": " power", "probability": 0.9111328125}, {"start": 1327.76, "end": 1328.32, "word": " N", "probability": 0.206787109375}], "temperature": 1.0}, {"id": 58, "seek": 138737, "start": 1370.79, "end": 1387.37, "text": "طيب احنا حتى الان اخدنا اربعة اختبارات اللي هي اختبار التكامل واختبار الحد النوني واختبار ال comparison test واختبار ال limit comparison test", "tokens": [9566, 1829, 3555, 1975, 5016, 8315, 11331, 49975, 2423, 7649, 1975, 9778, 3215, 8315, 1975, 25513, 27884, 1975, 46456, 3555, 9640, 9307, 13672, 1829, 39896, 1975, 46456, 3555, 9640, 16712, 4117, 10943, 1211, 4032, 47283, 2655, 3555, 9640, 21542, 3215, 28239, 11536, 1829, 4032, 47283, 2655, 3555, 9640, 2423, 9660, 1500, 4032, 47283, 2655, 3555, 9640, 2423, 4948, 9660, 1500], "avg_logprob": -0.15061475702973662, "compression_ratio": 1.816, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1370.79, "end": 1371.51, "word": "طيب", "probability": 0.6593017578125}, {"start": 1371.51, "end": 1372.13, "word": " احنا", "probability": 0.9583333333333334}, {"start": 1372.13, "end": 1372.51, "word": " حتى", "probability": 0.934326171875}, {"start": 1372.51, "end": 1372.95, "word": " الان", "probability": 0.690185546875}, {"start": 1372.95, "end": 1374.27, "word": " اخدنا", "probability": 0.885986328125}, {"start": 1374.27, "end": 1375.01, "word": " اربعة", "probability": 0.8743489583333334}, {"start": 1375.01, "end": 1376.17, "word": " اختبارات", "probability": 0.98876953125}, {"start": 1376.17, "end": 1376.89, "word": " اللي", "probability": 0.54736328125}, {"start": 1376.89, "end": 1377.23, "word": " هي", "probability": 0.9013671875}, {"start": 1377.23, "end": 1377.89, "word": " اختبار", "probability": 0.9930419921875}, {"start": 1377.89, "end": 1378.73, "word": " التكامل", "probability": 0.9842529296875}, {"start": 1378.73, "end": 1381.51, "word": " واختبار", "probability": 0.871875}, {"start": 1381.51, "end": 1382.17, "word": " الحد", "probability": 0.981201171875}, {"start": 1382.17, "end": 1382.79, "word": " النوني", "probability": 0.8401692708333334}, {"start": 1382.79, "end": 1383.79, "word": " واختبار", "probability": 0.97080078125}, {"start": 1383.79, "end": 1383.91, "word": " ال", "probability": 0.89501953125}, {"start": 1383.91, "end": 1384.43, "word": " comparison", "probability": 0.6630859375}, {"start": 1384.43, "end": 1384.95, "word": " test", "probability": 0.92041015625}, {"start": 1384.95, "end": 1385.53, "word": " واختبار", "probability": 0.9845703125}, {"start": 1385.53, "end": 1385.67, "word": " ال", "probability": 0.5361328125}, {"start": 1385.67, "end": 1385.95, "word": " limit", "probability": 0.9560546875}, {"start": 1385.95, "end": 1386.81, "word": " comparison", "probability": 0.8916015625}, {"start": 1386.81, "end": 1387.37, "word": " test", "probability": 0.9345703125}], "temperature": 1.0}, {"id": 59, "seek": 140672, "start": 1387.66, "end": 1406.72, "text": "وباقى اختباران اختباران هو موضوع ال section اللى تبقى عشرة خمسة الاختبار الاول اسمه the ratio test اختبار النسبة والتانى اسمه ال in through test اختبار الجذر النونى", "tokens": [37746, 995, 4587, 7578, 1975, 46456, 3555, 9640, 7649, 1975, 46456, 3555, 9640, 7649, 31439, 3714, 2407, 11242, 45367, 2423, 3541, 13672, 7578, 6055, 3555, 4587, 7578, 6225, 8592, 25720, 16490, 2304, 3794, 3660, 42963, 46456, 3555, 9640, 42963, 12610, 24525, 2304, 3224, 264, 8509, 1500, 1975, 46456, 3555, 9640, 28239, 35457, 3660, 16070, 2655, 7649, 7578, 24525, 2304, 3224, 2423, 294, 807, 1500, 1975, 46456, 3555, 9640, 25724, 8848, 2288, 28239, 11536, 7578], "avg_logprob": -0.2037499980131785, "compression_ratio": 1.7933333333333332, "no_speech_prob": 0.0, "words": [{"start": 1387.66, "end": 1388.66, "word": "وباقى", "probability": 0.62701416015625}, {"start": 1388.66, "end": 1390.42, "word": " اختباران", "probability": 0.92431640625}, {"start": 1390.42, "end": 1391.76, "word": " اختباران", "probability": 0.744482421875}, {"start": 1391.76, "end": 1392.26, "word": " هو", "probability": 0.6943359375}, {"start": 1392.26, "end": 1392.64, "word": " موضوع", "probability": 0.9415283203125}, {"start": 1392.64, "end": 1392.8, "word": " ال", "probability": 0.6748046875}, {"start": 1392.8, "end": 1393.26, "word": " section", "probability": 0.85986328125}, {"start": 1393.26, "end": 1393.56, "word": " اللى", "probability": 0.61669921875}, {"start": 1393.56, "end": 1394.0, "word": " تبقى", "probability": 0.730865478515625}, {"start": 1394.0, "end": 1394.54, "word": " عشرة", "probability": 0.86474609375}, {"start": 1394.54, "end": 1395.26, "word": " خمسة", "probability": 0.857421875}, {"start": 1395.26, "end": 1396.36, "word": " الاختبار", "probability": 0.8939208984375}, {"start": 1396.36, "end": 1396.92, "word": " الاول", "probability": 0.9052734375}, {"start": 1396.92, "end": 1397.48, "word": " اسمه", "probability": 0.9690755208333334}, {"start": 1397.48, "end": 1397.68, "word": " the", "probability": 0.73193359375}, {"start": 1397.68, "end": 1398.2, "word": " ratio", "probability": 0.9443359375}, {"start": 1398.2, "end": 1399.1, "word": " test", "probability": 0.9453125}, {"start": 1399.1, "end": 1399.86, "word": " اختبار", "probability": 0.971923828125}, {"start": 1399.86, "end": 1400.7, "word": " النسبة", "probability": 0.9783528645833334}, {"start": 1400.7, "end": 1401.8, "word": " والتانى", "probability": 0.87158203125}, {"start": 1401.8, "end": 1402.34, "word": " اسمه", "probability": 0.9759114583333334}, {"start": 1402.34, "end": 1402.52, "word": " ال", "probability": 0.79541015625}, {"start": 1402.52, "end": 1402.82, "word": " in", "probability": 0.61376953125}, {"start": 1402.82, "end": 1403.32, "word": " through", "probability": 0.8505859375}, {"start": 1403.32, "end": 1404.0, "word": " test", "probability": 0.94091796875}, {"start": 1404.0, "end": 1404.9, "word": " اختبار", "probability": 0.9884033203125}, {"start": 1404.9, "end": 1405.86, "word": " الجذر", "probability": 0.6456705729166666}, {"start": 1405.86, "end": 1406.72, "word": " النونى", "probability": 0.8404947916666666}], "temperature": 1.0}, {"id": 60, "seek": 143601, "start": 1408.71, "end": 1436.01, "text": "لما نخلص الاتنين هدول بيكون خلصنا كل اختبارات الستة زيدي التلاتة series المشهورة وبالتالي يمكن الحكم على أي series بتقابلنا هل هي converge او diver لو نظرت للاختبارين اللي هو الأول والثاني اللي هي ال ratio test و ال intro test بلاحظ انه كمان هدول ل series with positive terms وبالتالي", "tokens": [1211, 15042, 8717, 9778, 1211, 9381, 2423, 9307, 1863, 9957, 8032, 3215, 12610, 4724, 1829, 30544, 16490, 1211, 9381, 8315, 28242, 1975, 46456, 3555, 9640, 9307, 21136, 2655, 3660, 30767, 1829, 16254, 16712, 1211, 9307, 3660, 2638, 9673, 8592, 3224, 13063, 3660, 46599, 6027, 2655, 6027, 1829, 7251, 43020, 21542, 24793, 15844, 36632, 2638, 39894, 4587, 16758, 1211, 8315, 8032, 1211, 39896, 41881, 1975, 2407, 18558, 45164, 8717, 19913, 43500, 24976, 47283, 2655, 3555, 9640, 9957, 13672, 1829, 31439, 16247, 12610, 16070, 12984, 7649, 1829, 13672, 1829, 39896, 2423, 8509, 1500, 4032, 2423, 12897, 1500, 4724, 15040, 5016, 19913, 16472, 3224, 9122, 2304, 7649, 8032, 3215, 12610, 5296, 2638, 365, 3353, 2115, 46599, 6027, 2655, 6027, 1829], "avg_logprob": -0.15876588313761403, "compression_ratio": 1.800796812749004, "no_speech_prob": 0.0, "words": [{"start": 1408.71, "end": 1409.07, "word": "لما", "probability": 0.58135986328125}, {"start": 1409.07, "end": 1409.53, "word": " نخلص", "probability": 0.86572265625}, {"start": 1409.53, "end": 1410.03, "word": " الاتنين", "probability": 0.78826904296875}, {"start": 1410.03, "end": 1410.53, "word": " هدول", "probability": 0.75439453125}, {"start": 1410.53, "end": 1410.95, "word": " بيكون", "probability": 0.826171875}, {"start": 1410.95, "end": 1411.57, "word": " خلصنا", "probability": 0.96142578125}, {"start": 1411.57, "end": 1412.03, "word": " كل", "probability": 0.96728515625}, {"start": 1412.03, "end": 1413.05, "word": " اختبارات", "probability": 0.97490234375}, {"start": 1413.05, "end": 1413.73, "word": " الستة", "probability": 0.7711588541666666}, {"start": 1413.73, "end": 1414.21, "word": " زيدي", "probability": 0.7724609375}, {"start": 1414.21, "end": 1414.91, "word": " التلاتة", "probability": 0.917724609375}, {"start": 1414.91, "end": 1415.23, "word": " series", "probability": 0.65771484375}, {"start": 1415.23, "end": 1416.19, "word": " المشهورة", "probability": 0.989453125}, {"start": 1416.19, "end": 1417.17, "word": " وبالتالي", "probability": 0.95224609375}, {"start": 1417.17, "end": 1417.57, "word": " يمكن", "probability": 0.985595703125}, {"start": 1417.57, "end": 1418.05, "word": " الحكم", "probability": 0.969970703125}, {"start": 1418.05, "end": 1418.33, "word": " على", "probability": 0.76416015625}, {"start": 1418.33, "end": 1418.59, "word": " أي", "probability": 0.52734375}, {"start": 1418.59, "end": 1418.99, "word": " series", "probability": 0.92822265625}, {"start": 1418.99, "end": 1419.81, "word": " بتقابلنا", "probability": 0.91708984375}, {"start": 1419.81, "end": 1420.07, "word": " هل", "probability": 0.97509765625}, {"start": 1420.07, "end": 1420.25, "word": " هي", "probability": 0.83740234375}, {"start": 1420.25, "end": 1420.75, "word": " converge", "probability": 0.86474609375}, {"start": 1420.75, "end": 1421.81, "word": " او", "probability": 0.876953125}, {"start": 1421.81, "end": 1422.49, "word": " diver", "probability": 0.430908203125}, {"start": 1422.49, "end": 1423.65, "word": " لو", "probability": 0.88330078125}, {"start": 1423.65, "end": 1424.05, "word": " نظرت", "probability": 0.9768880208333334}, {"start": 1424.05, "end": 1425.03, "word": " للاختبارين", "probability": 0.9691569010416666}, {"start": 1425.03, "end": 1425.45, "word": " اللي", "probability": 0.944091796875}, {"start": 1425.45, "end": 1425.55, "word": " هو", "probability": 0.9794921875}, {"start": 1425.55, "end": 1426.09, "word": " الأول", "probability": 0.82373046875}, {"start": 1426.09, "end": 1426.91, "word": " والثاني", "probability": 0.945068359375}, {"start": 1426.91, "end": 1427.27, "word": " اللي", "probability": 0.83544921875}, {"start": 1427.27, "end": 1427.49, "word": " هي", "probability": 0.365478515625}, {"start": 1427.49, "end": 1427.61, "word": " ال", "probability": 0.5224609375}, {"start": 1427.61, "end": 1427.97, "word": " ratio", "probability": 0.98828125}, {"start": 1427.97, "end": 1428.53, "word": " test", "probability": 0.88818359375}, {"start": 1428.53, "end": 1428.77, "word": " و", "probability": 0.71142578125}, {"start": 1428.77, "end": 1428.93, "word": " ال", "probability": 0.86474609375}, {"start": 1428.93, "end": 1429.45, "word": " intro", "probability": 0.3623046875}, {"start": 1429.45, "end": 1429.95, "word": " test", "probability": 0.9306640625}, {"start": 1429.95, "end": 1430.65, "word": " بلاحظ", "probability": 0.9688720703125}, {"start": 1430.65, "end": 1431.17, "word": " انه", "probability": 0.80224609375}, {"start": 1431.17, "end": 1431.61, "word": " كمان", "probability": 0.9505208333333334}, {"start": 1431.61, "end": 1432.11, "word": " هدول", "probability": 0.97705078125}, {"start": 1432.11, "end": 1432.67, "word": " ل", "probability": 0.489501953125}, {"start": 1432.67, "end": 1433.09, "word": " series", "probability": 0.94189453125}, {"start": 1433.09, "end": 1433.59, "word": " with", "probability": 0.93359375}, {"start": 1433.59, "end": 1434.43, "word": " positive", "probability": 0.9580078125}, {"start": 1434.43, "end": 1435.15, "word": " terms", "probability": 0.89453125}, {"start": 1435.15, "end": 1436.01, "word": " وبالتالي", "probability": 0.93466796875}], "temperature": 1.0}, {"id": 61, "seek": 145752, "start": 1436.4, "end": 1457.52, "text": "أخر خمسة اختبارات كلها series with positive terms ما عدا الاختبار الأول اللي هو nth term test بهمناش هل ال series بالموجب أو بالسالب نجي للاختبار الأول ال ratio test بقول let summation على a n b هي series with positive terms", "tokens": [10721, 34740, 16490, 2304, 3794, 3660, 1975, 46456, 3555, 9640, 9307, 28242, 11296, 2638, 365, 3353, 2115, 19446, 6225, 28259, 2423, 47283, 2655, 3555, 9640, 16247, 12610, 13672, 1829, 31439, 297, 392, 1433, 1500, 4724, 16095, 1863, 33599, 8032, 1211, 2423, 2638, 20666, 2304, 29245, 3555, 34051, 20666, 3794, 6027, 3555, 8717, 7435, 1829, 24976, 47283, 2655, 3555, 9640, 16247, 12610, 2423, 8509, 1500, 4724, 39648, 718, 28811, 15844, 257, 297, 272, 39896, 2638, 365, 3353, 2115], "avg_logprob": -0.3275240434285922, "compression_ratio": 1.7679558011049723, "no_speech_prob": 0.0, "words": [{"start": 1436.4, "end": 1436.98, "word": "أخر", "probability": 0.62353515625}, {"start": 1436.98, "end": 1437.6, "word": " خمسة", "probability": 0.9488525390625}, {"start": 1437.6, "end": 1438.42, "word": " اختبارات", "probability": 0.96220703125}, {"start": 1438.42, "end": 1438.86, "word": " كلها", "probability": 0.841796875}, {"start": 1438.86, "end": 1439.12, "word": " series", "probability": 0.365234375}, {"start": 1439.12, "end": 1439.44, "word": " with", "probability": 0.88427734375}, {"start": 1439.44, "end": 1440.02, "word": " positive", "probability": 0.9501953125}, {"start": 1440.02, "end": 1440.58, "word": " terms", "probability": 0.88232421875}, {"start": 1440.58, "end": 1440.8, "word": " ما", "probability": 0.43798828125}, {"start": 1440.8, "end": 1441.22, "word": " عدا", "probability": 0.75}, {"start": 1441.22, "end": 1442.28, "word": " الاختبار", "probability": 0.85107421875}, {"start": 1442.28, "end": 1442.68, "word": " الأول", "probability": 0.857666015625}, {"start": 1442.68, "end": 1442.84, "word": " اللي", "probability": 0.54815673828125}, {"start": 1442.84, "end": 1443.04, "word": " هو", "probability": 0.8525390625}, {"start": 1443.04, "end": 1443.5, "word": " nth", "probability": 0.4036865234375}, {"start": 1443.5, "end": 1443.84, "word": " term", "probability": 0.90283203125}, {"start": 1443.84, "end": 1444.14, "word": " test", "probability": 0.89990234375}, {"start": 1444.14, "end": 1444.88, "word": " بهمناش", "probability": 0.5089111328125}, {"start": 1444.88, "end": 1445.36, "word": " هل", "probability": 0.93896484375}, {"start": 1445.36, "end": 1445.5, "word": " ال", "probability": 0.7919921875}, {"start": 1445.5, "end": 1445.8, "word": " series", "probability": 0.8515625}, {"start": 1445.8, "end": 1446.58, "word": " بالموجب", "probability": 0.907958984375}, {"start": 1446.58, "end": 1447.18, "word": " أو", "probability": 0.63623046875}, {"start": 1447.18, "end": 1448.12, "word": " بالسالب", "probability": 0.70233154296875}, {"start": 1448.12, "end": 1449.42, "word": " نجي", "probability": 0.69189453125}, {"start": 1449.42, "end": 1450.08, "word": " للاختبار", "probability": 0.91533203125}, {"start": 1450.08, "end": 1450.54, "word": " الأول", "probability": 0.971923828125}, {"start": 1450.54, "end": 1450.72, "word": " ال", "probability": 0.394775390625}, {"start": 1450.72, "end": 1451.12, "word": " ratio", "probability": 0.97216796875}, {"start": 1451.12, "end": 1451.7, "word": " test", "probability": 0.9326171875}, {"start": 1451.7, "end": 1452.4, "word": " بقول", "probability": 0.649658203125}, {"start": 1452.4, "end": 1452.72, "word": " let", "probability": 0.427734375}, {"start": 1452.72, "end": 1453.38, "word": " summation", "probability": 0.5224609375}, {"start": 1453.38, "end": 1453.86, "word": " على", "probability": 0.8515625}, {"start": 1453.86, "end": 1454.12, "word": " a", "probability": 0.64013671875}, {"start": 1454.12, "end": 1454.36, "word": " n", "probability": 0.4677734375}, {"start": 1454.36, "end": 1454.6, "word": " b", "probability": 0.2978515625}, {"start": 1454.6, "end": 1454.84, "word": " هي", "probability": 0.489501953125}, {"start": 1454.84, "end": 1455.32, "word": " series", "probability": 0.76904296875}, {"start": 1455.32, "end": 1455.76, "word": " with", "probability": 0.939453125}, {"start": 1455.76, "end": 1456.58, "word": " positive", "probability": 0.9580078125}, {"start": 1456.58, "end": 1457.52, "word": " terms", "probability": 0.89404296875}], "temperature": 1.0}, {"id": 62, "seek": 147622, "start": 1457.76, "end": 1476.22, "text": "الحدود كلها مجمع and suppose that وافترض انه limit لل a n plus one على a n يعني الحد النوني زائد واحد مقصوم على مين على الحد النوني يعني الحد العاشر مقصوم على الحد التاسع مثلا", "tokens": [6027, 5016, 3215, 23328, 28242, 11296, 3714, 7435, 2304, 3615, 293, 7297, 300, 4032, 31845, 2655, 43042, 16472, 3224, 4948, 24976, 257, 297, 1804, 472, 15844, 257, 297, 37495, 22653, 21542, 3215, 28239, 11536, 1829, 30767, 16373, 3215, 36764, 24401, 3714, 4587, 9381, 20498, 15844, 3714, 9957, 15844, 21542, 3215, 28239, 11536, 1829, 37495, 22653, 21542, 3215, 18863, 33599, 2288, 3714, 4587, 9381, 20498, 15844, 21542, 3215, 16712, 32277, 3615, 50113, 15040], "avg_logprob": -0.2910958969429748, "compression_ratio": 1.7701863354037266, "no_speech_prob": 0.0, "words": [{"start": 1457.76, "end": 1458.66, "word": "الحدود", "probability": 0.63580322265625}, {"start": 1458.66, "end": 1459.52, "word": " كلها", "probability": 0.931884765625}, {"start": 1459.52, "end": 1460.08, "word": " مجمع", "probability": 0.59197998046875}, {"start": 1460.08, "end": 1460.72, "word": " and", "probability": 0.1326904296875}, {"start": 1460.72, "end": 1461.32, "word": " suppose", "probability": 0.865234375}, {"start": 1461.32, "end": 1461.78, "word": " that", "probability": 0.87353515625}, {"start": 1461.78, "end": 1462.86, "word": " وافترض", "probability": 0.77294921875}, {"start": 1462.86, "end": 1463.44, "word": " انه", "probability": 0.525390625}, {"start": 1463.44, "end": 1463.94, "word": " limit", "probability": 0.9482421875}, {"start": 1463.94, "end": 1464.26, "word": " لل", "probability": 0.6220703125}, {"start": 1464.26, "end": 1464.54, "word": " a", "probability": 0.32763671875}, {"start": 1464.54, "end": 1464.82, "word": " n", "probability": 0.66552734375}, {"start": 1464.82, "end": 1465.26, "word": " plus", "probability": 0.9111328125}, {"start": 1465.26, "end": 1465.62, "word": " one", "probability": 0.89794921875}, {"start": 1465.62, "end": 1465.96, "word": " على", "probability": 0.72607421875}, {"start": 1465.96, "end": 1466.36, "word": " a", "probability": 0.93408203125}, {"start": 1466.36, "end": 1466.6, "word": " n", "probability": 0.85009765625}, {"start": 1466.6, "end": 1468.12, "word": " يعني", "probability": 0.79052734375}, {"start": 1468.12, "end": 1468.8, "word": " الحد", "probability": 0.824462890625}, {"start": 1468.8, "end": 1469.48, "word": " النوني", "probability": 0.78857421875}, {"start": 1469.48, "end": 1470.0, "word": " زائد", "probability": 0.8055013020833334}, {"start": 1470.0, "end": 1470.36, "word": " واحد", "probability": 0.986328125}, {"start": 1470.36, "end": 1470.84, "word": " مقصوم", "probability": 0.69287109375}, {"start": 1470.84, "end": 1471.12, "word": " على", "probability": 0.472900390625}, {"start": 1471.12, "end": 1471.58, "word": " مين", "probability": 0.6580810546875}, {"start": 1471.58, "end": 1472.14, "word": " على", "probability": 0.75244140625}, {"start": 1472.14, "end": 1472.58, "word": " الحد", "probability": 0.964599609375}, {"start": 1472.58, "end": 1472.92, "word": " النوني", "probability": 0.9002278645833334}, {"start": 1472.92, "end": 1473.16, "word": " يعني", "probability": 0.889404296875}, {"start": 1473.16, "end": 1473.56, "word": " الحد", "probability": 0.914306640625}, {"start": 1473.56, "end": 1474.06, "word": " العاشر", "probability": 0.826171875}, {"start": 1474.06, "end": 1474.48, "word": " مقصوم", "probability": 0.9549560546875}, {"start": 1474.48, "end": 1474.72, "word": " على", "probability": 0.81787109375}, {"start": 1474.72, "end": 1475.12, "word": " الحد", "probability": 0.894775390625}, {"start": 1475.12, "end": 1475.7, "word": " التاسع", "probability": 0.9943033854166666}, {"start": 1475.7, "end": 1476.22, "word": " مثلا", "probability": 0.969482421875}], "temperature": 1.0}, {"id": 63, "seek": 149131, "start": 1476.59, "end": 1491.31, "text": "الحد التلاتين مقسما على الحد تسعة وعشرين إلى آخرين يبقى جسمنا الحد النوني زائد واحد على الحد النوني واخدنا ال limit لما ال entrance to infinity سميت النتج raw", "tokens": [6027, 24401, 16712, 1211, 9307, 9957, 3714, 4587, 38251, 995, 15844, 21542, 3215, 6055, 3794, 27884, 4032, 3615, 46309, 9957, 30731, 19753, 34740, 9957, 7251, 3555, 4587, 7578, 10874, 38251, 8315, 21542, 3215, 28239, 11536, 1829, 30767, 16373, 3215, 36764, 24401, 15844, 21542, 3215, 28239, 11536, 1829, 4032, 47283, 3215, 8315, 2423, 4948, 5296, 15042, 2423, 12014, 281, 13202, 8608, 2304, 36081, 2423, 29399, 7435, 8936], "avg_logprob": -0.24323693585039965, "compression_ratio": 1.617283950617284, "no_speech_prob": 0.0, "words": [{"start": 1476.59, "end": 1477.11, "word": "الحد", "probability": 0.4996337890625}, {"start": 1477.11, "end": 1477.87, "word": " التلاتين", "probability": 0.8162841796875}, {"start": 1477.87, "end": 1478.41, "word": " مقسما", "probability": 0.67730712890625}, {"start": 1478.41, "end": 1478.57, "word": " على", "probability": 0.8037109375}, {"start": 1478.57, "end": 1478.99, "word": " الحد", "probability": 0.87451171875}, {"start": 1478.99, "end": 1479.41, "word": " تسعة", "probability": 0.85595703125}, {"start": 1479.41, "end": 1480.13, "word": " وعشرين", "probability": 0.8720703125}, {"start": 1480.13, "end": 1480.73, "word": " إلى", "probability": 0.408203125}, {"start": 1480.73, "end": 1481.49, "word": " آخرين", "probability": 0.7591145833333334}, {"start": 1481.49, "end": 1482.15, "word": " يبقى", "probability": 0.8671875}, {"start": 1482.15, "end": 1482.75, "word": " جسمنا", "probability": 0.8810221354166666}, {"start": 1482.75, "end": 1483.19, "word": " الحد", "probability": 0.925537109375}, {"start": 1483.19, "end": 1483.65, "word": " النوني", "probability": 0.7810872395833334}, {"start": 1483.65, "end": 1484.09, "word": " زائد", "probability": 0.8893229166666666}, {"start": 1484.09, "end": 1484.45, "word": " واحد", "probability": 0.973388671875}, {"start": 1484.45, "end": 1484.63, "word": " على", "probability": 0.86572265625}, {"start": 1484.63, "end": 1485.11, "word": " الحد", "probability": 0.98388671875}, {"start": 1485.11, "end": 1485.75, "word": " النوني", "probability": 0.9152018229166666}, {"start": 1485.75, "end": 1486.55, "word": " واخدنا", "probability": 0.9429931640625}, {"start": 1486.55, "end": 1486.69, "word": " ال", "probability": 0.74609375}, {"start": 1486.69, "end": 1486.99, "word": " limit", "probability": 0.93505859375}, {"start": 1486.99, "end": 1487.35, "word": " لما", "probability": 0.90087890625}, {"start": 1487.35, "end": 1487.51, "word": " ال", "probability": 0.947265625}, {"start": 1487.51, "end": 1488.09, "word": " entrance", "probability": 0.1046142578125}, {"start": 1488.09, "end": 1488.37, "word": " to", "probability": 0.8935546875}, {"start": 1488.37, "end": 1489.03, "word": " infinity", "probability": 0.853515625}, {"start": 1489.03, "end": 1490.07, "word": " سميت", "probability": 0.88232421875}, {"start": 1490.07, "end": 1490.97, "word": " النتج", "probability": 0.7203776041666666}, {"start": 1490.97, "end": 1491.31, "word": " raw", "probability": 0.6083984375}], "temperature": 1.0}, {"id": 64, "seek": 152178, "start": 1492.22, "end": 1521.78, "text": "يبقى بالضبط روها دي قد تكون عدد و قد تكون infinity ان كان عدد بنجي نطلع في هذا العدد إذا العدد هذا كان أقل من واحد صحية طبعا من صفر لغاية واحد صحية طبعا صفر لئم السالب مافيش ليش ان ال series with positive terms الحد النوني زاد واحد موجب و الحد النوني موجب يبقى فيش عندي سالب", "tokens": [1829, 3555, 4587, 7578, 20666, 11242, 3555, 9566, 12602, 2407, 11296, 11778, 1829, 12174, 3215, 6055, 30544, 6225, 3215, 3215, 4032, 12174, 3215, 6055, 30544, 13202, 16472, 25961, 6225, 3215, 3215, 44945, 7435, 1829, 8717, 9566, 1211, 3615, 8978, 23758, 18863, 3215, 3215, 11933, 15730, 18863, 3215, 3215, 23758, 25961, 5551, 4587, 1211, 9154, 36764, 24401, 20328, 5016, 10632, 23032, 3555, 3615, 995, 9154, 20328, 5172, 2288, 5296, 17082, 995, 10632, 36764, 24401, 20328, 5016, 10632, 23032, 3555, 3615, 995, 20328, 5172, 2288, 5296, 19986, 2304, 21136, 6027, 3555, 19446, 41185, 8592, 32239, 8592, 16472, 2423, 2638, 365, 3353, 2115, 21542, 3215, 28239, 11536, 1829, 30767, 18513, 36764, 24401, 3714, 29245, 3555, 4032, 21542, 3215, 28239, 11536, 1829, 3714, 29245, 3555, 7251, 3555, 4587, 7578, 8978, 8592, 18871, 16254, 8608, 6027, 3555], "avg_logprob": -0.20124530478527672, "compression_ratio": 1.9409282700421941, "no_speech_prob": 0.0, "words": [{"start": 1492.22, "end": 1492.74, "word": "يبقى", "probability": 0.724853515625}, {"start": 1492.74, "end": 1493.14, "word": " بالضبط", "probability": 0.63427734375}, {"start": 1493.14, "end": 1493.88, "word": " روها", "probability": 0.4754638671875}, {"start": 1493.88, "end": 1494.26, "word": " دي", "probability": 0.702392578125}, {"start": 1494.26, "end": 1494.8, "word": " قد", "probability": 0.9560546875}, {"start": 1494.8, "end": 1495.22, "word": " تكون", "probability": 0.981201171875}, {"start": 1495.22, "end": 1495.62, "word": " عدد", "probability": 0.9716796875}, {"start": 1495.62, "end": 1495.78, "word": " و", "probability": 0.9521484375}, {"start": 1495.78, "end": 1496.16, "word": " قد", "probability": 0.724609375}, {"start": 1496.16, "end": 1497.02, "word": " تكون", "probability": 0.990478515625}, {"start": 1497.02, "end": 1497.74, "word": " infinity", "probability": 0.46728515625}, {"start": 1497.74, "end": 1498.5, "word": " ان", "probability": 0.454833984375}, {"start": 1498.5, "end": 1498.88, "word": " كان", "probability": 0.91748046875}, {"start": 1498.88, "end": 1499.2, "word": " عدد", "probability": 0.9822591145833334}, {"start": 1499.2, "end": 1499.54, "word": " بنجي", "probability": 0.8624674479166666}, {"start": 1499.54, "end": 1500.2, "word": " نطلع", "probability": 0.84063720703125}, {"start": 1500.2, "end": 1500.36, "word": " في", "probability": 0.83154296875}, {"start": 1500.36, "end": 1500.66, "word": " هذا", "probability": 0.9521484375}, {"start": 1500.66, "end": 1501.2, "word": " العدد", "probability": 0.9358723958333334}, {"start": 1501.2, "end": 1501.94, "word": " إذا", "probability": 0.734130859375}, {"start": 1501.94, "end": 1502.5, "word": " العدد", "probability": 0.97021484375}, {"start": 1502.5, "end": 1502.84, "word": " هذا", "probability": 0.826171875}, {"start": 1502.84, "end": 1503.24, "word": " كان", "probability": 0.984375}, {"start": 1503.24, "end": 1504.16, "word": " أقل", "probability": 0.92919921875}, {"start": 1504.16, "end": 1504.4, "word": " من", "probability": 0.99462890625}, {"start": 1504.4, "end": 1504.94, "word": " واحد", "probability": 0.95751953125}, {"start": 1504.94, "end": 1505.7, "word": " صحية", "probability": 0.9493815104166666}, {"start": 1505.7, "end": 1506.54, "word": " طبعا", "probability": 0.9649658203125}, {"start": 1506.54, "end": 1506.94, "word": " من", "probability": 0.96044921875}, {"start": 1506.94, "end": 1507.9, "word": " صفر", "probability": 0.9773763020833334}, {"start": 1507.9, "end": 1508.62, "word": " لغاية", "probability": 0.9884033203125}, {"start": 1508.62, "end": 1509.06, "word": " واحد", "probability": 0.994384765625}, {"start": 1509.06, "end": 1509.92, "word": " صحية", "probability": 0.990234375}, {"start": 1509.92, "end": 1510.46, "word": " طبعا", "probability": 0.73919677734375}, {"start": 1510.46, "end": 1511.72, "word": " صفر", "probability": 0.9347330729166666}, {"start": 1511.72, "end": 1512.52, "word": " لئم", "probability": 0.57421875}, {"start": 1512.52, "end": 1513.08, "word": " السالب", "probability": 0.892578125}, {"start": 1513.08, "end": 1513.68, "word": " مافيش", "probability": 0.8421223958333334}, {"start": 1513.68, "end": 1514.18, "word": " ليش", "probability": 0.8818359375}, {"start": 1514.18, "end": 1514.34, "word": " ان", "probability": 0.439697265625}, {"start": 1514.34, "end": 1514.46, "word": " ال", "probability": 0.476318359375}, {"start": 1514.46, "end": 1514.66, "word": " series", "probability": 0.60009765625}, {"start": 1514.66, "end": 1515.0, "word": " with", "probability": 0.8583984375}, {"start": 1515.0, "end": 1515.62, "word": " positive", "probability": 0.953125}, {"start": 1515.62, "end": 1516.18, "word": " terms", "probability": 0.85107421875}, {"start": 1516.18, "end": 1516.94, "word": " الحد", "probability": 0.91748046875}, {"start": 1516.94, "end": 1517.54, "word": " النوني", "probability": 0.8515625}, {"start": 1517.54, "end": 1517.86, "word": " زاد", "probability": 0.6390380859375}, {"start": 1517.86, "end": 1518.2, "word": " واحد", "probability": 0.988525390625}, {"start": 1518.2, "end": 1518.64, "word": " موجب", "probability": 0.9801432291666666}, {"start": 1518.64, "end": 1519.1, "word": " و", "probability": 0.45166015625}, {"start": 1519.1, "end": 1519.5, "word": " الحد", "probability": 0.9677734375}, {"start": 1519.5, "end": 1519.94, "word": " النوني", "probability": 0.962890625}, {"start": 1519.94, "end": 1520.42, "word": " موجب", "probability": 0.9915364583333334}, {"start": 1520.42, "end": 1520.68, "word": " يبقى", "probability": 0.953369140625}, {"start": 1520.68, "end": 1520.92, "word": " فيش", "probability": 0.60699462890625}, {"start": 1520.92, "end": 1521.24, "word": " عندي", "probability": 0.766845703125}, {"start": 1521.24, "end": 1521.78, "word": " سالب", "probability": 0.9469401041666666}], "temperature": 1.0}, {"id": 65, "seek": 154380, "start": 1522.02, "end": 1543.8, "text": "يبقى النتيجة أقل حاجة بتبقى Zero فما فوق فإن كانت النتيجة من Zero لغاية الواحد بس ما تسويش الواحد Zero ماعناه مشكلة يبقى بقول ال series مالها converged إن كانت النتيجة أكبر من الواحد الصحية أو ما لا نهاية بقول ال series", "tokens": [1829, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 5551, 4587, 1211, 11331, 26108, 3660, 39894, 3555, 4587, 7578, 17182, 6156, 15042, 6156, 30543, 6156, 28814, 1863, 25961, 2655, 28239, 31371, 7435, 3660, 9154, 17182, 5296, 17082, 995, 10632, 2423, 14407, 24401, 4724, 3794, 19446, 6055, 3794, 45865, 8592, 2423, 14407, 24401, 17182, 19446, 3615, 8315, 3224, 37893, 28820, 3660, 7251, 3555, 4587, 7578, 4724, 39648, 2423, 2638, 3714, 6027, 11296, 9652, 3004, 36145, 25961, 2655, 28239, 31371, 7435, 3660, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 10632, 34051, 19446, 20193, 8717, 11296, 10632, 4724, 39648, 2423, 2638], "avg_logprob": -0.18296874269843103, "compression_ratio": 1.9157894736842105, "no_speech_prob": 0.0, "words": [{"start": 1522.02, "end": 1522.6, "word": "يبقى", "probability": 0.80181884765625}, {"start": 1522.6, "end": 1523.26, "word": " النتيجة", "probability": 0.974609375}, {"start": 1523.26, "end": 1523.98, "word": " أقل", "probability": 0.87744140625}, {"start": 1523.98, "end": 1524.34, "word": " حاجة", "probability": 0.763671875}, {"start": 1524.34, "end": 1524.84, "word": " بتبقى", "probability": 0.79998779296875}, {"start": 1524.84, "end": 1525.22, "word": " Zero", "probability": 0.33837890625}, {"start": 1525.22, "end": 1525.74, "word": " فما", "probability": 0.92431640625}, {"start": 1525.74, "end": 1526.22, "word": " فوق", "probability": 0.984375}, {"start": 1526.22, "end": 1527.02, "word": " فإن", "probability": 0.8525390625}, {"start": 1527.02, "end": 1527.42, "word": " كانت", "probability": 0.955810546875}, {"start": 1527.42, "end": 1528.16, "word": " النتيجة", "probability": 0.97265625}, {"start": 1528.16, "end": 1528.36, "word": " من", "probability": 0.9482421875}, {"start": 1528.36, "end": 1528.8, "word": " Zero", "probability": 0.91259765625}, {"start": 1528.8, "end": 1529.7, "word": " لغاية", "probability": 0.99169921875}, {"start": 1529.7, "end": 1530.2, "word": " الواحد", "probability": 0.951171875}, {"start": 1530.2, "end": 1530.46, "word": " بس", "probability": 0.962646484375}, {"start": 1530.46, "end": 1530.56, "word": " ما", "probability": 0.765625}, {"start": 1530.56, "end": 1531.08, "word": " تسويش", "probability": 0.76434326171875}, {"start": 1531.08, "end": 1531.9, "word": " الواحد", "probability": 0.9856770833333334}, {"start": 1531.9, "end": 1532.54, "word": " Zero", "probability": 0.69287109375}, {"start": 1532.54, "end": 1533.06, "word": " ماعناه", "probability": 0.6844482421875}, {"start": 1533.06, "end": 1533.62, "word": " مشكلة", "probability": 0.9715169270833334}, {"start": 1533.62, "end": 1534.2, "word": " يبقى", "probability": 0.826904296875}, {"start": 1534.2, "end": 1534.48, "word": " بقول", "probability": 0.939208984375}, {"start": 1534.48, "end": 1534.66, "word": " ال", "probability": 0.88525390625}, {"start": 1534.66, "end": 1534.9, "word": " series", "probability": 0.61572265625}, {"start": 1534.9, "end": 1535.56, "word": " مالها", "probability": 0.7958984375}, {"start": 1535.56, "end": 1536.94, "word": " converged", "probability": 0.52825927734375}, {"start": 1536.94, "end": 1537.56, "word": " إن", "probability": 0.60107421875}, {"start": 1537.56, "end": 1538.06, "word": " كانت", "probability": 0.9912109375}, {"start": 1538.06, "end": 1538.8, "word": " النتيجة", "probability": 0.973388671875}, {"start": 1538.8, "end": 1539.54, "word": " أكبر", "probability": 0.9656575520833334}, {"start": 1539.54, "end": 1539.76, "word": " من", "probability": 0.994140625}, {"start": 1539.76, "end": 1540.3, "word": " الواحد", "probability": 0.9921875}, {"start": 1540.3, "end": 1540.78, "word": " الصحية", "probability": 0.7792154947916666}, {"start": 1540.78, "end": 1541.22, "word": " أو", "probability": 0.70068359375}, {"start": 1541.22, "end": 1541.48, "word": " ما", "probability": 0.54833984375}, {"start": 1541.48, "end": 1541.86, "word": " لا", "probability": 0.71923828125}, {"start": 1541.86, "end": 1542.72, "word": " نهاية", "probability": 0.9130859375}, {"start": 1542.72, "end": 1543.32, "word": " بقول", "probability": 0.90478515625}, {"start": 1543.32, "end": 1543.5, "word": " ال", "probability": 0.9814453125}, {"start": 1543.5, "end": 1543.8, "word": " series", "probability": 0.9501953125}], "temperature": 1.0}, {"id": 66, "seek": 155534, "start": 1548.66, "end": 1555.34, "text": "الاختبار بيفشل if the test is inconclusive او فهل اذا كانت روة تساوي واحدة", "tokens": [6027, 47283, 2655, 3555, 9640, 4724, 33911, 8592, 1211, 498, 264, 1500, 307, 20972, 66, 7233, 1975, 2407, 6156, 3224, 1211, 1975, 15730, 25961, 2655, 12602, 2407, 3660, 6055, 3794, 995, 45865, 36764, 24401, 3660], "avg_logprob": -0.4978298395872116, "compression_ratio": 1.0769230769230769, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1548.66, "end": 1549.46, "word": "الاختبار", "probability": 0.76260986328125}, {"start": 1549.46, "end": 1550.26, "word": " بيفشل", "probability": 0.79241943359375}, {"start": 1550.26, "end": 1550.56, "word": " if", "probability": 0.22802734375}, {"start": 1550.56, "end": 1550.56, "word": " the", "probability": 0.39794921875}, {"start": 1550.56, "end": 1550.86, "word": " test", "probability": 0.54296875}, {"start": 1550.86, "end": 1551.28, "word": " is", "probability": 0.75048828125}, {"start": 1551.28, "end": 1552.66, "word": " inconclusive", "probability": 0.8111979166666666}, {"start": 1552.66, "end": 1553.06, "word": " او", "probability": 0.778076171875}, {"start": 1553.06, "end": 1553.84, "word": " فهل", "probability": 0.6004231770833334}, {"start": 1553.84, "end": 1554.12, "word": " اذا", "probability": 0.778076171875}, {"start": 1554.12, "end": 1554.58, "word": " كانت", "probability": 0.76171875}, {"start": 1554.58, "end": 1554.86, "word": " روة", "probability": 0.5127766927083334}, {"start": 1554.86, "end": 1555.2, "word": " تساوي", "probability": 0.73291015625}, {"start": 1555.2, "end": 1555.34, "word": " واحدة", "probability": 0.83984375}], "temperature": 1.0}, {"id": 67, "seek": 158134, "start": 1566.44, "end": 1581.34, "text": "باخد الجدر النوني للحد النوني لما ال N بده تروح للملايين و برضه بده يسوي رو، والله إذا رو كانت أقل من واحد صحي بيجي ال series converge أكبر من واحد صحي او infinity ال diverge", "tokens": [3555, 47283, 3215, 2423, 7435, 3215, 2288, 28239, 11536, 1829, 24976, 24401, 28239, 11536, 1829, 5296, 15042, 2423, 426, 47525, 3224, 6055, 32887, 5016, 5296, 19528, 15040, 1829, 9957, 4032, 4724, 43042, 3224, 47525, 3224, 7251, 3794, 45865, 12602, 2407, 12399, 16070, 43761, 11933, 15730, 12602, 2407, 25961, 2655, 5551, 4587, 1211, 9154, 36764, 24401, 20328, 5016, 1829, 4724, 1829, 7435, 1829, 2423, 2638, 41881, 5551, 4117, 26890, 9154, 36764, 24401, 20328, 5016, 1829, 1975, 2407, 13202, 2423, 18558, 432], "avg_logprob": -0.33333333922021186, "compression_ratio": 1.6171428571428572, "no_speech_prob": 0.0, "words": [{"start": 1566.44, "end": 1567.08, "word": "باخد", "probability": 0.7724609375}, {"start": 1567.08, "end": 1567.66, "word": " الجدر", "probability": 0.610595703125}, {"start": 1567.66, "end": 1568.1, "word": " النوني", "probability": 0.72705078125}, {"start": 1568.1, "end": 1568.7, "word": " للحد", "probability": 0.6676025390625}, {"start": 1568.7, "end": 1569.16, "word": " النوني", "probability": 0.8963216145833334}, {"start": 1569.16, "end": 1569.44, "word": " لما", "probability": 0.868408203125}, {"start": 1569.44, "end": 1569.54, "word": " ال", "probability": 0.92138671875}, {"start": 1569.54, "end": 1569.74, "word": " N", "probability": 0.260498046875}, {"start": 1569.74, "end": 1569.98, "word": " بده", "probability": 0.4522705078125}, {"start": 1569.98, "end": 1570.32, "word": " تروح", "probability": 0.8531901041666666}, {"start": 1570.32, "end": 1570.94, "word": " للملايين", "probability": 0.73759765625}, {"start": 1570.94, "end": 1571.08, "word": " و", "probability": 0.53271484375}, {"start": 1571.08, "end": 1571.44, "word": " برضه", "probability": 0.904296875}, {"start": 1571.44, "end": 1571.78, "word": " بده", "probability": 0.79443359375}, {"start": 1571.78, "end": 1572.12, "word": " يسوي", "probability": 0.7734375}, {"start": 1572.12, "end": 1572.88, "word": " رو،", "probability": 0.6395670572916666}, {"start": 1572.88, "end": 1573.68, "word": " والله", "probability": 0.886474609375}, {"start": 1573.68, "end": 1574.28, "word": " إذا", "probability": 0.8056640625}, {"start": 1574.28, "end": 1574.8, "word": " رو", "probability": 0.87109375}, {"start": 1574.8, "end": 1575.24, "word": " كانت", "probability": 0.896728515625}, {"start": 1575.24, "end": 1575.52, "word": " أقل", "probability": 0.9054361979166666}, {"start": 1575.52, "end": 1575.64, "word": " من", "probability": 0.98876953125}, {"start": 1575.64, "end": 1575.98, "word": " واحد", "probability": 0.888427734375}, {"start": 1575.98, "end": 1576.36, "word": " صحي", "probability": 0.9117838541666666}, {"start": 1576.36, "end": 1576.72, "word": " بيجي", "probability": 0.5386962890625}, {"start": 1576.72, "end": 1576.76, "word": " ال", "probability": 0.7021484375}, {"start": 1576.76, "end": 1576.96, "word": " series", "probability": 0.80908203125}, {"start": 1576.96, "end": 1577.66, "word": " converge", "probability": 0.81689453125}, {"start": 1577.66, "end": 1578.42, "word": " أكبر", "probability": 0.8396809895833334}, {"start": 1578.42, "end": 1578.58, "word": " من", "probability": 0.9892578125}, {"start": 1578.58, "end": 1578.9, "word": " واحد", "probability": 0.99365234375}, {"start": 1578.9, "end": 1579.2, "word": " صحي", "probability": 0.96142578125}, {"start": 1579.2, "end": 1579.56, "word": " او", "probability": 0.6982421875}, {"start": 1579.56, "end": 1580.26, "word": " infinity", "probability": 0.35205078125}, {"start": 1580.26, "end": 1580.56, "word": " ال", "probability": 0.49609375}, {"start": 1580.56, "end": 1581.34, "word": " diverge", "probability": 0.5322265625}], "temperature": 1.0}, {"id": 68, "seek": 161033, "start": 1581.49, "end": 1610.33, "text": "تساوي واحد صحية يبقى الاختبار بيفشله معاك خمسة اختبارات أخرى سابقة عليه استخدام اللذي تراه مناسبا طبعا هنعطيك العديد من الأمثلة بعضهم يفشل وبعضهم مش هيفشل تمام؟ وإذا فشل هنشوف كيف نتغلب على مين على هذه المشكلة أنا قسمت الأمثلة لقسمين القسم الأول يعني الأسئلة المباشرة القسم الثاني كل سؤال فيه فن", "tokens": [2655, 3794, 995, 45865, 36764, 24401, 20328, 5016, 10632, 7251, 3555, 4587, 7578, 2423, 47283, 2655, 3555, 9640, 4724, 33911, 8592, 43761, 20449, 995, 4117, 16490, 2304, 3794, 3660, 1975, 46456, 3555, 9640, 9307, 5551, 34740, 7578, 8608, 16758, 28671, 47356, 44713, 9778, 3215, 10943, 13672, 8848, 1829, 6055, 23557, 3224, 3714, 8315, 35457, 995, 23032, 3555, 3615, 995, 8032, 1863, 3615, 9566, 1829, 4117, 18863, 16254, 3215, 9154, 16247, 2304, 12984, 37977, 45030, 11242, 16095, 7251, 5172, 8592, 1211, 46599, 3615, 11242, 16095, 37893, 8032, 33911, 8592, 1211, 46811, 10943, 22807, 4032, 28814, 15730, 6156, 8592, 1211, 8032, 1863, 8592, 38688, 9122, 33911, 8717, 2655, 17082, 46152, 15844, 3714, 9957, 15844, 29538, 9673, 8592, 28820, 3660, 41850, 12174, 38251, 2655, 16247, 2304, 12984, 37977, 5296, 4587, 38251, 9957, 25062, 38251, 16247, 12610, 37495, 22653, 16247, 3794, 19986, 37977, 9673, 3555, 33599, 25720, 25062, 38251, 6024, 104, 7649, 1829, 28242, 8608, 33604, 6027, 8978, 3224, 6156, 1863], "avg_logprob": -0.12450553080703639, "compression_ratio": 1.9962962962962962, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1581.49, "end": 1582.03, "word": "تساوي", "probability": 0.76019287109375}, {"start": 1582.03, "end": 1582.43, "word": " واحد", "probability": 0.982666015625}, {"start": 1582.43, "end": 1583.01, "word": " صحية", "probability": 0.8649088541666666}, {"start": 1583.01, "end": 1583.55, "word": " يبقى", "probability": 0.898193359375}, {"start": 1583.55, "end": 1584.01, "word": " الاختبار", "probability": 0.92548828125}, {"start": 1584.01, "end": 1584.51, "word": " بيفشله", "probability": 0.809814453125}, {"start": 1584.51, "end": 1584.83, "word": " معاك", "probability": 0.79443359375}, {"start": 1584.83, "end": 1585.49, "word": " خمسة", "probability": 0.95166015625}, {"start": 1585.49, "end": 1586.37, "word": " اختبارات", "probability": 0.97412109375}, {"start": 1586.37, "end": 1587.19, "word": " أخرى", "probability": 0.8785807291666666}, {"start": 1587.19, "end": 1587.97, "word": " سابقة", "probability": 0.9798177083333334}, {"start": 1587.97, "end": 1588.35, "word": " عليه", "probability": 0.97607421875}, {"start": 1588.35, "end": 1588.91, "word": " استخدام", "probability": 0.8565673828125}, {"start": 1588.91, "end": 1589.25, "word": " اللذي", "probability": 0.68359375}, {"start": 1589.25, "end": 1589.87, "word": " تراه", "probability": 0.9763997395833334}, {"start": 1589.87, "end": 1590.85, "word": " مناسبا", "probability": 0.80059814453125}, {"start": 1590.85, "end": 1591.43, "word": " طبعا", "probability": 0.9222412109375}, {"start": 1591.43, "end": 1592.41, "word": " هنعطيك", "probability": 0.7699178059895834}, {"start": 1592.41, "end": 1592.97, "word": " العديد", "probability": 0.9462890625}, {"start": 1592.97, "end": 1593.11, "word": " من", "probability": 0.98486328125}, {"start": 1593.11, "end": 1593.53, "word": " الأمثلة", "probability": 0.9462890625}, {"start": 1593.53, "end": 1594.07, "word": " بعضهم", "probability": 0.8623046875}, {"start": 1594.07, "end": 1594.47, "word": " يفشل", "probability": 0.9356689453125}, {"start": 1594.47, "end": 1594.89, "word": " وبعضهم", "probability": 0.8541259765625}, {"start": 1594.89, "end": 1595.09, "word": " مش", "probability": 0.93994140625}, {"start": 1595.09, "end": 1595.75, "word": " هيفشل", "probability": 0.9373779296875}, {"start": 1595.75, "end": 1596.85, "word": " تمام؟", "probability": 0.7932942708333334}, {"start": 1596.85, "end": 1597.19, "word": " وإذا", "probability": 0.9332682291666666}, {"start": 1597.19, "end": 1597.53, "word": " فشل", "probability": 0.95654296875}, {"start": 1597.53, "end": 1597.91, "word": " هنشوف", "probability": 0.95654296875}, {"start": 1597.91, "end": 1598.17, "word": " كيف", "probability": 0.981201171875}, {"start": 1598.17, "end": 1598.71, "word": " نتغلب", "probability": 0.9766845703125}, {"start": 1598.71, "end": 1598.91, "word": " على", "probability": 0.697265625}, {"start": 1598.91, "end": 1599.27, "word": " مين", "probability": 0.733154296875}, {"start": 1599.27, "end": 1599.79, "word": " على", "probability": 0.58935546875}, {"start": 1599.79, "end": 1600.37, "word": " هذه", "probability": 0.9677734375}, {"start": 1600.37, "end": 1601.31, "word": " المشكلة", "probability": 0.996826171875}, {"start": 1601.31, "end": 1601.97, "word": " أنا", "probability": 0.55224609375}, {"start": 1601.97, "end": 1602.57, "word": " قسمت", "probability": 0.9833984375}, {"start": 1602.57, "end": 1603.03, "word": " الأمثلة", "probability": 0.9761962890625}, {"start": 1603.03, "end": 1603.81, "word": " لقسمين", "probability": 0.955322265625}, {"start": 1603.81, "end": 1604.73, "word": " القسم", "probability": 0.95751953125}, {"start": 1604.73, "end": 1605.35, "word": " الأول", "probability": 0.9765625}, {"start": 1605.35, "end": 1605.89, "word": " يعني", "probability": 0.941162109375}, {"start": 1605.89, "end": 1606.53, "word": " الأسئلة", "probability": 0.9810791015625}, {"start": 1606.53, "end": 1607.29, "word": " المباشرة", "probability": 0.8870849609375}, {"start": 1607.29, "end": 1608.11, "word": " القسم", "probability": 0.973876953125}, {"start": 1608.11, "end": 1608.57, "word": " الثاني", "probability": 0.9395751953125}, {"start": 1608.57, "end": 1608.93, "word": " كل", "probability": 0.96533203125}, {"start": 1608.93, "end": 1609.59, "word": " سؤال", "probability": 0.99267578125}, {"start": 1609.59, "end": 1609.97, "word": " فيه", "probability": 0.9560546875}, {"start": 1609.97, "end": 1610.33, "word": " فن", "probability": 0.746337890625}], "temperature": 1.0}, {"id": 69, "seek": 163062, "start": 1610.6, "end": 1630.62, "text": "بشوية نشوف كيف نتخلص من المشكلة اللى اتحققها بنا حد ايه له اي استفسار قبل ندخل الى الأمثلة؟ حد بدى يسأل اي سؤال؟ طيب نجى للسؤال الاول شوف لها ال series هذى converge او diverse بنحب نحط فى دماغك", "tokens": [3555, 8592, 2407, 10632, 8717, 8592, 38688, 9122, 33911, 8717, 2655, 9778, 1211, 9381, 9154, 9673, 8592, 28820, 3660, 13672, 7578, 1975, 2655, 5016, 4587, 4587, 11296, 4724, 8315, 11331, 3215, 1975, 1829, 3224, 46740, 1975, 1829, 44713, 36178, 9640, 12174, 36150, 8717, 3215, 9778, 1211, 2423, 7578, 16247, 2304, 12984, 37977, 22807, 11331, 3215, 47525, 7578, 7251, 3794, 10721, 1211, 1975, 1829, 8608, 33604, 6027, 22807, 23032, 1829, 3555, 8717, 7435, 7578, 24976, 3794, 33604, 6027, 42963, 12610, 13412, 38688, 5296, 11296, 2423, 2638, 8032, 8848, 7578, 41881, 1975, 2407, 9521, 44945, 5016, 3555, 8717, 5016, 9566, 6156, 7578, 11778, 2304, 5718, 118, 4117], "avg_logprob": -0.2299528238627146, "compression_ratio": 1.587378640776699, "no_speech_prob": 0.0, "words": [{"start": 1610.6, "end": 1611.16, "word": "بشوية", "probability": 0.73895263671875}, {"start": 1611.16, "end": 1611.58, "word": " نشوف", "probability": 0.9739583333333334}, {"start": 1611.58, "end": 1611.9, "word": " كيف", "probability": 0.962890625}, {"start": 1611.9, "end": 1612.74, "word": " نتخلص", "probability": 0.947265625}, {"start": 1612.74, "end": 1613.36, "word": " من", "probability": 0.97265625}, {"start": 1613.36, "end": 1614.56, "word": " المشكلة", "probability": 0.9847412109375}, {"start": 1614.56, "end": 1614.66, "word": " اللى", "probability": 0.67041015625}, {"start": 1614.66, "end": 1615.2, "word": " اتحققها", "probability": 0.932861328125}, {"start": 1615.2, "end": 1615.52, "word": " بنا", "probability": 0.636962890625}, {"start": 1615.52, "end": 1616.28, "word": " حد", "probability": 0.660888671875}, {"start": 1616.28, "end": 1616.48, "word": " ايه", "probability": 0.6876627604166666}, {"start": 1616.48, "end": 1616.56, "word": " له", "probability": 0.638671875}, {"start": 1616.56, "end": 1616.74, "word": " اي", "probability": 0.74609375}, {"start": 1616.74, "end": 1617.24, "word": " استفسار", "probability": 0.9542643229166666}, {"start": 1617.24, "end": 1617.56, "word": " قبل", "probability": 0.99072265625}, {"start": 1617.56, "end": 1618.06, "word": " ندخل", "probability": 0.8887939453125}, {"start": 1618.06, "end": 1618.28, "word": " الى", "probability": 0.7509765625}, {"start": 1618.28, "end": 1619.76, "word": " الأمثلة؟", "probability": 0.8298828125}, {"start": 1619.76, "end": 1620.24, "word": " حد", "probability": 0.94140625}, {"start": 1620.24, "end": 1620.42, "word": " بدى", "probability": 0.5703125}, {"start": 1620.42, "end": 1620.64, "word": " يسأل", "probability": 0.79638671875}, {"start": 1620.64, "end": 1620.78, "word": " اي", "probability": 0.7607421875}, {"start": 1620.78, "end": 1622.46, "word": " سؤال؟", "probability": 0.9222412109375}, {"start": 1622.46, "end": 1622.84, "word": " طيب", "probability": 0.9049479166666666}, {"start": 1622.84, "end": 1623.4, "word": " نجى", "probability": 0.4895833333333333}, {"start": 1623.4, "end": 1624.3, "word": " للسؤال", "probability": 0.8922119140625}, {"start": 1624.3, "end": 1624.7, "word": " الاول", "probability": 0.839599609375}, {"start": 1624.7, "end": 1625.4, "word": " شوف", "probability": 0.838134765625}, {"start": 1625.4, "end": 1625.64, "word": " لها", "probability": 0.586181640625}, {"start": 1625.64, "end": 1625.72, "word": " ال", "probability": 0.80322265625}, {"start": 1625.72, "end": 1625.96, "word": " series", "probability": 0.89501953125}, {"start": 1625.96, "end": 1626.38, "word": " هذى", "probability": 0.6321614583333334}, {"start": 1626.38, "end": 1626.92, "word": " converge", "probability": 0.9130859375}, {"start": 1626.92, "end": 1627.7, "word": " او", "probability": 0.9609375}, {"start": 1627.7, "end": 1628.18, "word": " diverse", "probability": 0.630859375}, {"start": 1628.18, "end": 1629.24, "word": " بنحب", "probability": 0.7861328125}, {"start": 1629.24, "end": 1629.8, "word": " نحط", "probability": 0.7776692708333334}, {"start": 1629.8, "end": 1630.02, "word": " فى", "probability": 0.859130859375}, {"start": 1630.02, "end": 1630.62, "word": " دماغك", "probability": 0.928125}], "temperature": 1.0}, {"id": 70, "seek": 164681, "start": 1630.93, "end": 1646.81, "text": "من حد ما تتطلع في الحد انه يتلاقى ال in factorial في الشمكانية تاخد جذر لكن سهل جدا تاخد ال ratio test يبقى من حد ما تشوف المثل in factorial على ratio وانت مغمل", "tokens": [27842, 11331, 3215, 19446, 6055, 2655, 9566, 1211, 3615, 8978, 21542, 3215, 16472, 3224, 7251, 2655, 15040, 4587, 7578, 2423, 294, 36916, 8978, 25124, 2304, 41361, 10632, 6055, 47283, 3215, 10874, 8848, 2288, 44381, 8608, 3224, 1211, 10874, 28259, 6055, 47283, 3215, 2423, 8509, 1500, 7251, 3555, 4587, 7578, 9154, 11331, 3215, 19446, 6055, 8592, 38688, 9673, 12984, 1211, 294, 36916, 15844, 8509, 4032, 7649, 2655, 3714, 17082, 42213], "avg_logprob": -0.208258926655565, "compression_ratio": 1.5987261146496816, "no_speech_prob": 0.0, "words": [{"start": 1630.93, "end": 1631.27, "word": "من", "probability": 0.54736328125}, {"start": 1631.27, "end": 1631.63, "word": " حد", "probability": 0.96435546875}, {"start": 1631.63, "end": 1631.77, "word": " ما", "probability": 0.9267578125}, {"start": 1631.77, "end": 1632.47, "word": " تتطلع", "probability": 0.77666015625}, {"start": 1632.47, "end": 1632.61, "word": " في", "probability": 0.68115234375}, {"start": 1632.61, "end": 1633.07, "word": " الحد", "probability": 0.982177734375}, {"start": 1633.07, "end": 1633.37, "word": " انه", "probability": 0.857421875}, {"start": 1633.37, "end": 1634.09, "word": " يتلاقى", "probability": 0.7619140625}, {"start": 1634.09, "end": 1634.17, "word": " ال", "probability": 0.6953125}, {"start": 1634.17, "end": 1634.55, "word": " in", "probability": 0.1873779296875}, {"start": 1634.55, "end": 1635.63, "word": " factorial", "probability": 0.7197265625}, {"start": 1635.63, "end": 1636.33, "word": " في", "probability": 0.82958984375}, {"start": 1636.33, "end": 1637.05, "word": " الشمكانية", "probability": 0.9093017578125}, {"start": 1637.05, "end": 1637.53, "word": " تاخد", "probability": 0.9830729166666666}, {"start": 1637.53, "end": 1637.99, "word": " جذر", "probability": 0.8408203125}, {"start": 1637.99, "end": 1638.59, "word": " لكن", "probability": 0.72119140625}, {"start": 1638.59, "end": 1639.21, "word": " سهل", "probability": 0.9869791666666666}, {"start": 1639.21, "end": 1639.57, "word": " جدا", "probability": 0.985595703125}, {"start": 1639.57, "end": 1640.07, "word": " تاخد", "probability": 0.9884440104166666}, {"start": 1640.07, "end": 1640.45, "word": " ال", "probability": 0.365966796875}, {"start": 1640.45, "end": 1641.43, "word": " ratio", "probability": 0.9560546875}, {"start": 1641.43, "end": 1642.07, "word": " test", "probability": 0.9384765625}, {"start": 1642.07, "end": 1642.91, "word": " يبقى", "probability": 0.8623046875}, {"start": 1642.91, "end": 1643.01, "word": " من", "probability": 0.9453125}, {"start": 1643.01, "end": 1643.29, "word": " حد", "probability": 0.992919921875}, {"start": 1643.29, "end": 1643.39, "word": " ما", "probability": 0.88525390625}, {"start": 1643.39, "end": 1643.65, "word": " تشوف", "probability": 0.91748046875}, {"start": 1643.65, "end": 1644.15, "word": " المثل", "probability": 0.71142578125}, {"start": 1644.15, "end": 1644.47, "word": " in", "probability": 0.7958984375}, {"start": 1644.47, "end": 1645.07, "word": " factorial", "probability": 0.79541015625}, {"start": 1645.07, "end": 1645.37, "word": " على", "probability": 0.8466796875}, {"start": 1645.37, "end": 1645.79, "word": " ratio", "probability": 0.7236328125}, {"start": 1645.79, "end": 1646.23, "word": " وانت", "probability": 0.8330078125}, {"start": 1646.23, "end": 1646.81, "word": " مغمل", "probability": 0.7842610677083334}], "temperature": 1.0}, {"id": 71, "seek": 166544, "start": 1647.1, "end": 1665.44, "text": "فى الغالب يعنى 99% بتبقى نحلة المشكلة طيب اذا بروح اخد روح تساوي limit لما الintensity infinity إلى الحد انه يزايد واحد على الحد انه يبقى limit لما الintensity infinity", "tokens": [5172, 7578, 6024, 118, 6027, 3555, 37495, 1863, 7578, 11803, 4, 39894, 3555, 4587, 7578, 8717, 5016, 37977, 9673, 8592, 28820, 3660, 23032, 1829, 3555, 1975, 15730, 4724, 32887, 5016, 1975, 9778, 3215, 12602, 2407, 5016, 6055, 3794, 995, 45865, 4948, 5296, 15042, 2423, 686, 694, 507, 13202, 30731, 21542, 3215, 16472, 3224, 7251, 11622, 995, 25708, 36764, 24401, 15844, 21542, 3215, 16472, 3224, 7251, 3555, 4587, 7578, 4948, 5296, 15042, 2423, 686, 694, 507, 13202], "avg_logprob": -0.3366477226282095, "compression_ratio": 1.7218543046357615, "no_speech_prob": 0.0, "words": [{"start": 1647.1, "end": 1648.06, "word": "فى", "probability": 0.226715087890625}, {"start": 1648.06, "end": 1648.54, "word": " الغالب", "probability": 0.8814697265625}, {"start": 1648.54, "end": 1648.84, "word": " يعنى", "probability": 0.5563557942708334}, {"start": 1648.84, "end": 1649.38, "word": " 99", "probability": 0.74951171875}, {"start": 1649.38, "end": 1650.0, "word": "%", "probability": 0.8310546875}, {"start": 1650.0, "end": 1650.42, "word": " بتبقى", "probability": 0.81219482421875}, {"start": 1650.42, "end": 1650.94, "word": " نحلة", "probability": 0.5721842447916666}, {"start": 1650.94, "end": 1651.94, "word": " المشكلة", "probability": 0.9765625}, {"start": 1651.94, "end": 1652.4, "word": " طيب", "probability": 0.7525227864583334}, {"start": 1652.4, "end": 1652.96, "word": " اذا", "probability": 0.7822265625}, {"start": 1652.96, "end": 1653.34, "word": " بروح", "probability": 0.8465169270833334}, {"start": 1653.34, "end": 1654.0, "word": " اخد", "probability": 0.806640625}, {"start": 1654.0, "end": 1654.68, "word": " روح", "probability": 0.615966796875}, {"start": 1654.68, "end": 1655.38, "word": " تساوي", "probability": 0.9224853515625}, {"start": 1655.38, "end": 1656.08, "word": " limit", "probability": 0.6708984375}, {"start": 1656.08, "end": 1656.58, "word": " لما", "probability": 0.882568359375}, {"start": 1656.58, "end": 1657.6, "word": " الintensity", "probability": 0.7180023193359375}, {"start": 1657.6, "end": 1658.16, "word": " infinity", "probability": 0.304443359375}, {"start": 1658.16, "end": 1658.5, "word": " إلى", "probability": 0.491943359375}, {"start": 1658.5, "end": 1659.12, "word": " الحد", "probability": 0.917724609375}, {"start": 1659.12, "end": 1659.58, "word": " انه", "probability": 0.713134765625}, {"start": 1659.58, "end": 1660.36, "word": " يزايد", "probability": 0.7119140625}, {"start": 1660.36, "end": 1660.84, "word": " واحد", "probability": 0.833740234375}, {"start": 1660.84, "end": 1661.54, "word": " على", "probability": 0.7421875}, {"start": 1661.54, "end": 1662.2, "word": " الحد", "probability": 0.9697265625}, {"start": 1662.2, "end": 1662.66, "word": " انه", "probability": 0.936767578125}, {"start": 1662.66, "end": 1663.2, "word": " يبقى", "probability": 0.9456787109375}, {"start": 1663.2, "end": 1663.56, "word": " limit", "probability": 0.96484375}, {"start": 1663.56, "end": 1664.0, "word": " لما", "probability": 0.9609375}, {"start": 1664.0, "end": 1664.94, "word": " الintensity", "probability": 0.7255859375}, {"start": 1664.94, "end": 1665.44, "word": " infinity", "probability": 0.6767578125}], "temperature": 1.0}, {"id": 72, "seek": 169485, "start": 1666.17, "end": 1694.85, "text": "الحد انوني زائد واحد معناته بيدشيل كل N وحق مكانها N زائد واحد يبقى بصير N زائد واحد factorial على عشرة أس N زائد واحد الكلام هذا تقسيم N factorial على عشرة to the power N يبقى هذا الكلام بده يسوي ال limit لما ال N tends to infinite الخطوة التالية", "tokens": [6027, 24401, 16472, 11536, 1829, 30767, 16373, 3215, 36764, 24401, 20449, 8315, 47395, 4724, 25708, 8592, 26895, 28242, 426, 4032, 5016, 4587, 3714, 41361, 11296, 426, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 426, 30767, 16373, 3215, 36764, 24401, 36916, 15844, 6225, 8592, 25720, 5551, 3794, 426, 30767, 16373, 3215, 36764, 24401, 2423, 28820, 10943, 23758, 6055, 4587, 3794, 32640, 426, 36916, 15844, 6225, 8592, 25720, 281, 264, 1347, 426, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 45865, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13785, 33962, 9566, 2407, 3660, 16712, 6027, 10632], "avg_logprob": -0.2013392789023263, "compression_ratio": 1.8093023255813954, "no_speech_prob": 0.0, "words": [{"start": 1666.17, "end": 1666.87, "word": "الحد", "probability": 0.5101318359375}, {"start": 1666.87, "end": 1667.43, "word": " انوني", "probability": 0.620849609375}, {"start": 1667.43, "end": 1667.77, "word": " زائد", "probability": 0.78759765625}, {"start": 1667.77, "end": 1668.13, "word": " واحد", "probability": 0.9873046875}, {"start": 1668.13, "end": 1668.61, "word": " معناته", "probability": 0.7788899739583334}, {"start": 1668.61, "end": 1669.43, "word": " بيدشيل", "probability": 0.5748291015625}, {"start": 1669.43, "end": 1669.95, "word": " كل", "probability": 0.9443359375}, {"start": 1669.95, "end": 1670.45, "word": " N", "probability": 0.385009765625}, {"start": 1670.45, "end": 1671.03, "word": " وحق", "probability": 0.6791178385416666}, {"start": 1671.03, "end": 1671.85, "word": " مكانها", "probability": 0.9617513020833334}, {"start": 1671.85, "end": 1672.15, "word": " N", "probability": 0.81640625}, {"start": 1672.15, "end": 1672.79, "word": " زائد", "probability": 0.9308268229166666}, {"start": 1672.79, "end": 1673.23, "word": " واحد", "probability": 0.97607421875}, {"start": 1673.23, "end": 1673.97, "word": " يبقى", "probability": 0.9278564453125}, {"start": 1673.97, "end": 1674.51, "word": " بصير", "probability": 0.9140625}, {"start": 1674.51, "end": 1674.99, "word": " N", "probability": 0.7626953125}, {"start": 1674.99, "end": 1675.75, "word": " زائد", "probability": 0.9523111979166666}, {"start": 1675.75, "end": 1676.37, "word": " واحد", "probability": 0.990966796875}, {"start": 1676.37, "end": 1677.35, "word": " factorial", "probability": 0.64697265625}, {"start": 1677.35, "end": 1678.49, "word": " على", "probability": 0.473876953125}, {"start": 1678.49, "end": 1679.13, "word": " عشرة", "probability": 0.9020182291666666}, {"start": 1679.13, "end": 1679.59, "word": " أس", "probability": 0.6767578125}, {"start": 1679.59, "end": 1680.01, "word": " N", "probability": 0.94287109375}, {"start": 1680.01, "end": 1680.75, "word": " زائد", "probability": 0.97265625}, {"start": 1680.75, "end": 1681.31, "word": " واحد", "probability": 0.992919921875}, {"start": 1681.31, "end": 1682.25, "word": " الكلام", "probability": 0.9195963541666666}, {"start": 1682.25, "end": 1682.53, "word": " هذا", "probability": 0.89892578125}, {"start": 1682.53, "end": 1683.43, "word": " تقسيم", "probability": 0.979248046875}, {"start": 1683.43, "end": 1683.91, "word": " N", "probability": 0.80517578125}, {"start": 1683.91, "end": 1684.79, "word": " factorial", "probability": 0.857421875}, {"start": 1684.79, "end": 1685.77, "word": " على", "probability": 0.68505859375}, {"start": 1685.77, "end": 1686.45, "word": " عشرة", "probability": 0.9742838541666666}, {"start": 1686.45, "end": 1686.75, "word": " to", "probability": 0.904296875}, {"start": 1686.75, "end": 1687.01, "word": " the", "probability": 0.923828125}, {"start": 1687.01, "end": 1687.59, "word": " power", "probability": 0.8818359375}, {"start": 1687.59, "end": 1688.17, "word": " N", "probability": 0.75}, {"start": 1688.17, "end": 1689.21, "word": " يبقى", "probability": 0.9149169921875}, {"start": 1689.21, "end": 1689.51, "word": " هذا", "probability": 0.96142578125}, {"start": 1689.51, "end": 1689.95, "word": " الكلام", "probability": 0.9689127604166666}, {"start": 1689.95, "end": 1690.29, "word": " بده", "probability": 0.4447021484375}, {"start": 1690.29, "end": 1690.63, "word": " يسوي", "probability": 0.7681477864583334}, {"start": 1690.63, "end": 1690.87, "word": " ال", "probability": 0.5322265625}, {"start": 1690.87, "end": 1691.37, "word": " limit", "probability": 0.96044921875}, {"start": 1691.37, "end": 1691.81, "word": " لما", "probability": 0.928955078125}, {"start": 1691.81, "end": 1692.03, "word": " ال", "probability": 0.97900390625}, {"start": 1692.03, "end": 1692.35, "word": " N", "probability": 0.88525390625}, {"start": 1692.35, "end": 1692.67, "word": " tends", "probability": 0.352294921875}, {"start": 1692.67, "end": 1692.95, "word": " to", "probability": 0.97021484375}, {"start": 1692.95, "end": 1693.45, "word": " infinite", "probability": 0.62890625}, {"start": 1693.45, "end": 1694.19, "word": " الخطوة", "probability": 0.9337158203125}, {"start": 1694.19, "end": 1694.85, "word": " التالية", "probability": 0.9949544270833334}], "temperature": 1.0}, {"id": 73, "seek": 172454, "start": 1695.16, "end": 1724.54, "text": "بدا فك الحد النوني زاد واحد ده يتأوصل لشكل الحد النوني مشان يصير ان الاختصارات نختصرها مع بعض يبقى ال N زاد واحد factorial هو N زاد واحد في مين؟ في ال N factorial على عشرة مضروبة في عشرة أس N القسم بحولها إلى ضربه من شجلة بصير عندي عشرة أس N على N factorial ويسبب", "tokens": [3555, 28259, 6156, 4117, 21542, 3215, 28239, 11536, 1829, 30767, 18513, 36764, 24401, 11778, 3224, 7251, 2655, 10721, 2407, 36520, 5296, 8592, 28820, 21542, 3215, 28239, 11536, 1829, 37893, 7649, 7251, 9381, 13546, 16472, 2423, 47283, 2655, 9381, 9640, 9307, 8717, 46456, 9381, 2288, 11296, 20449, 45030, 11242, 7251, 3555, 4587, 7578, 2423, 426, 30767, 18513, 36764, 24401, 36916, 31439, 426, 30767, 18513, 36764, 24401, 8978, 3714, 9957, 22807, 8978, 2423, 426, 36916, 15844, 6225, 8592, 25720, 3714, 11242, 32887, 49401, 8978, 6225, 8592, 25720, 5551, 3794, 426, 25062, 38251, 4724, 5016, 12610, 11296, 30731, 48812, 25513, 3224, 9154, 13412, 7435, 37977, 4724, 9381, 13546, 18871, 16254, 6225, 8592, 25720, 5551, 3794, 426, 15844, 426, 36916, 4032, 1829, 35457, 3555], "avg_logprob": -0.23334194313396106, "compression_ratio": 1.9043478260869566, "no_speech_prob": 0.0, "words": [{"start": 1695.16, "end": 1695.7, "word": "بدا", "probability": 0.19989013671875}, {"start": 1695.7, "end": 1696.14, "word": " فك", "probability": 0.610107421875}, {"start": 1696.14, "end": 1696.68, "word": " الحد", "probability": 0.924072265625}, {"start": 1696.68, "end": 1697.14, "word": " النوني", "probability": 0.7902018229166666}, {"start": 1697.14, "end": 1697.52, "word": " زاد", "probability": 0.29736328125}, {"start": 1697.52, "end": 1697.9, "word": " واحد", "probability": 0.9638671875}, {"start": 1697.9, "end": 1698.18, "word": " ده", "probability": 0.5672607421875}, {"start": 1698.18, "end": 1698.94, "word": " يتأوصل", "probability": 0.752392578125}, {"start": 1698.94, "end": 1699.44, "word": " لشكل", "probability": 0.9733072916666666}, {"start": 1699.44, "end": 1699.9, "word": " الحد", "probability": 0.992919921875}, {"start": 1699.9, "end": 1700.46, "word": " النوني", "probability": 0.97119140625}, {"start": 1700.46, "end": 1701.62, "word": " مشان", "probability": 0.649658203125}, {"start": 1701.62, "end": 1702.12, "word": " يصير", "probability": 0.80810546875}, {"start": 1702.12, "end": 1702.4, "word": " ان", "probability": 0.3603515625}, {"start": 1702.4, "end": 1703.38, "word": " الاختصارات", "probability": 0.8606363932291666}, {"start": 1703.38, "end": 1704.06, "word": " نختصرها", "probability": 0.957421875}, {"start": 1704.06, "end": 1704.22, "word": " مع", "probability": 0.98974609375}, {"start": 1704.22, "end": 1704.5, "word": " بعض", "probability": 0.994384765625}, {"start": 1704.5, "end": 1705.3, "word": " يبقى", "probability": 0.9066162109375}, {"start": 1705.3, "end": 1705.42, "word": " ال", "probability": 0.84765625}, {"start": 1705.42, "end": 1705.56, "word": " N", "probability": 0.57177734375}, {"start": 1705.56, "end": 1705.96, "word": " زاد", "probability": 0.822998046875}, {"start": 1705.96, "end": 1706.3, "word": " واحد", "probability": 0.966796875}, {"start": 1706.3, "end": 1706.84, "word": " factorial", "probability": 0.435546875}, {"start": 1706.84, "end": 1707.2, "word": " هو", "probability": 0.36279296875}, {"start": 1707.2, "end": 1707.56, "word": " N", "probability": 0.8427734375}, {"start": 1707.56, "end": 1708.44, "word": " زاد", "probability": 0.919677734375}, {"start": 1708.44, "end": 1708.88, "word": " واحد", "probability": 0.991455078125}, {"start": 1708.88, "end": 1709.12, "word": " في", "probability": 0.921875}, {"start": 1709.12, "end": 1710.06, "word": " مين؟", "probability": 0.77392578125}, {"start": 1710.06, "end": 1710.2, "word": " في", "probability": 0.339111328125}, {"start": 1710.2, "end": 1710.44, "word": " ال", "probability": 0.8154296875}, {"start": 1710.44, "end": 1710.74, "word": " N", "probability": 0.927734375}, {"start": 1710.74, "end": 1711.58, "word": " factorial", "probability": 0.765625}, {"start": 1711.58, "end": 1712.6, "word": " على", "probability": 0.701171875}, {"start": 1712.6, "end": 1713.3, "word": " عشرة", "probability": 0.9327799479166666}, {"start": 1713.3, "end": 1714.34, "word": " مضروبة", "probability": 0.9761962890625}, {"start": 1714.34, "end": 1714.62, "word": " في", "probability": 0.9658203125}, {"start": 1714.62, "end": 1715.28, "word": " عشرة", "probability": 0.9215494791666666}, {"start": 1715.28, "end": 1715.72, "word": " أس", "probability": 0.724609375}, {"start": 1715.72, "end": 1716.08, "word": " N", "probability": 0.95849609375}, {"start": 1716.08, "end": 1717.04, "word": " القسم", "probability": 0.963623046875}, {"start": 1717.04, "end": 1717.88, "word": " بحولها", "probability": 0.920166015625}, {"start": 1717.88, "end": 1718.12, "word": " إلى", "probability": 0.80517578125}, {"start": 1718.12, "end": 1718.54, "word": " ضربه", "probability": 0.9847005208333334}, {"start": 1718.54, "end": 1718.74, "word": " من", "probability": 0.94921875}, {"start": 1718.74, "end": 1719.2, "word": " شجلة", "probability": 0.7820638020833334}, {"start": 1719.2, "end": 1719.66, "word": " بصير", "probability": 0.9202473958333334}, {"start": 1719.66, "end": 1720.0, "word": " عندي", "probability": 0.87890625}, {"start": 1720.0, "end": 1720.72, "word": " عشرة", "probability": 0.9226888020833334}, {"start": 1720.72, "end": 1721.16, "word": " أس", "probability": 0.97705078125}, {"start": 1721.16, "end": 1721.6, "word": " N", "probability": 0.97900390625}, {"start": 1721.6, "end": 1722.44, "word": " على", "probability": 0.74169921875}, {"start": 1722.44, "end": 1723.02, "word": " N", "probability": 0.96484375}, {"start": 1723.02, "end": 1723.78, "word": " factorial", "probability": 0.81298828125}, {"start": 1723.78, "end": 1724.54, "word": " ويسبب", "probability": 0.593963623046875}], "temperature": 1.0}, {"id": 74, "seek": 175380, "start": 1724.96, "end": 1753.8, "text": "ن فاكتوريال مع ن فاكتوريال عشرة أقص ن على عشرة أقص ن يبقى هذا الكلام يساوي عشر في limit لما ال N tends to infinity لل N plus one النتج كده يحطيني هذا؟ مالانها يبقى لما قسمت الاتنين على بعض طلع النتج مالانها يبقى serious لأن هذه مالها by there يبقى بروح بقوله by", "tokens": [1863, 6156, 995, 4117, 2655, 13063, 1829, 6027, 20449, 8717, 6156, 995, 4117, 2655, 13063, 1829, 6027, 6225, 8592, 25720, 5551, 4587, 9381, 8717, 15844, 6225, 8592, 25720, 5551, 4587, 9381, 8717, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 6225, 46309, 8978, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 24976, 426, 1804, 472, 28239, 2655, 7435, 9122, 3215, 3224, 7251, 5016, 9566, 1829, 22653, 23758, 22807, 3714, 6027, 7649, 11296, 7251, 3555, 4587, 7578, 5296, 15042, 12174, 38251, 2655, 2423, 9307, 1863, 9957, 15844, 45030, 11242, 23032, 1211, 3615, 28239, 2655, 7435, 3714, 6027, 7649, 11296, 7251, 3555, 4587, 7578, 3156, 5296, 33456, 29538, 3714, 6027, 11296, 538, 456, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 3224, 538], "avg_logprob": -0.26796261109705044, "compression_ratio": 1.804255319148936, "no_speech_prob": 0.0, "words": [{"start": 1724.96, "end": 1725.32, "word": "ن", "probability": 0.337158203125}, {"start": 1725.32, "end": 1726.1, "word": " فاكتوريال", "probability": 0.8036063058035714}, {"start": 1726.1, "end": 1726.32, "word": " مع", "probability": 0.70654296875}, {"start": 1726.32, "end": 1726.64, "word": " ن", "probability": 0.5185546875}, {"start": 1726.64, "end": 1727.34, "word": " فاكتوريال", "probability": 0.9654715401785714}, {"start": 1727.34, "end": 1727.84, "word": " عشرة", "probability": 0.6153971354166666}, {"start": 1727.84, "end": 1728.2, "word": " أقص", "probability": 0.618896484375}, {"start": 1728.2, "end": 1728.54, "word": " ن", "probability": 0.406005859375}, {"start": 1728.54, "end": 1729.36, "word": " على", "probability": 0.4453125}, {"start": 1729.36, "end": 1729.96, "word": " عشرة", "probability": 0.96630859375}, {"start": 1729.96, "end": 1730.48, "word": " أقص", "probability": 0.9806315104166666}, {"start": 1730.48, "end": 1730.86, "word": " ن", "probability": 0.8369140625}, {"start": 1730.86, "end": 1731.74, "word": " يبقى", "probability": 0.9151611328125}, {"start": 1731.74, "end": 1732.04, "word": " هذا", "probability": 0.91552734375}, {"start": 1732.04, "end": 1732.58, "word": " الكلام", "probability": 0.9573567708333334}, {"start": 1732.58, "end": 1733.32, "word": " يساوي", "probability": 0.926513671875}, {"start": 1733.32, "end": 1734.08, "word": " عشر", "probability": 0.9384765625}, {"start": 1734.08, "end": 1734.66, "word": " في", "probability": 0.74951171875}, {"start": 1734.66, "end": 1735.1, "word": " limit", "probability": 0.8505859375}, {"start": 1735.1, "end": 1735.6, "word": " لما", "probability": 0.82421875}, {"start": 1735.6, "end": 1735.86, "word": " ال", "probability": 0.93408203125}, {"start": 1735.86, "end": 1736.06, "word": " N", "probability": 0.260986328125}, {"start": 1736.06, "end": 1736.48, "word": " tends", "probability": 0.5927734375}, {"start": 1736.48, "end": 1736.72, "word": " to", "probability": 0.91796875}, {"start": 1736.72, "end": 1737.36, "word": " infinity", "probability": 0.87255859375}, {"start": 1737.36, "end": 1737.76, "word": " لل", "probability": 0.450439453125}, {"start": 1737.76, "end": 1738.3, "word": " N", "probability": 0.83935546875}, {"start": 1738.3, "end": 1739.0, "word": " plus", "probability": 0.83984375}, {"start": 1739.0, "end": 1739.6, "word": " one", "probability": 0.91943359375}, {"start": 1739.6, "end": 1740.94, "word": " النتج", "probability": 0.8033854166666666}, {"start": 1740.94, "end": 1741.26, "word": " كده", "probability": 0.7014973958333334}, {"start": 1741.26, "end": 1741.96, "word": " يحطيني", "probability": 0.4425048828125}, {"start": 1741.96, "end": 1743.34, "word": " هذا؟", "probability": 0.651123046875}, {"start": 1743.34, "end": 1744.34, "word": " مالانها", "probability": 0.8759765625}, {"start": 1744.34, "end": 1744.72, "word": " يبقى", "probability": 0.935302734375}, {"start": 1744.72, "end": 1745.04, "word": " لما", "probability": 0.85205078125}, {"start": 1745.04, "end": 1745.7, "word": " قسمت", "probability": 0.99072265625}, {"start": 1745.7, "end": 1746.18, "word": " الاتنين", "probability": 0.8082275390625}, {"start": 1746.18, "end": 1746.38, "word": " على", "probability": 0.791015625}, {"start": 1746.38, "end": 1746.78, "word": " بعض", "probability": 0.9833984375}, {"start": 1746.78, "end": 1747.06, "word": " طلع", "probability": 0.7704264322916666}, {"start": 1747.06, "end": 1747.54, "word": " النتج", "probability": 0.8971354166666666}, {"start": 1747.54, "end": 1748.04, "word": " مالانها", "probability": 0.961669921875}, {"start": 1748.04, "end": 1748.36, "word": " يبقى", "probability": 0.9605712890625}, {"start": 1748.36, "end": 1748.62, "word": " serious", "probability": 0.57421875}, {"start": 1748.62, "end": 1748.96, "word": " لأن", "probability": 0.7841796875}, {"start": 1748.96, "end": 1749.22, "word": " هذه", "probability": 0.451171875}, {"start": 1749.22, "end": 1749.78, "word": " مالها", "probability": 0.95556640625}, {"start": 1749.78, "end": 1750.76, "word": " by", "probability": 0.370849609375}, {"start": 1750.76, "end": 1751.36, "word": " there", "probability": 0.1287841796875}, {"start": 1751.36, "end": 1752.12, "word": " يبقى", "probability": 0.973388671875}, {"start": 1752.12, "end": 1752.52, "word": " بروح", "probability": 0.8849283854166666}, {"start": 1752.52, "end": 1753.28, "word": " بقوله", "probability": 0.8629557291666666}, {"start": 1753.28, "end": 1753.8, "word": " by", "probability": 0.40283203125}], "temperature": 1.0}, {"id": 75, "seek": 176913, "start": 1754.85, "end": 1769.13, "text": "the ratio test the series الهي summation لل N factorial على عشرة to the power N by where", "tokens": [3322, 8509, 1500, 264, 2638, 2423, 3224, 1829, 28811, 24976, 426, 36916, 15844, 6225, 8592, 25720, 281, 264, 1347, 426, 538, 689], "avg_logprob": -0.49286683746006177, "compression_ratio": 1.030612244897959, "no_speech_prob": 0.0, "words": [{"start": 1754.85, "end": 1755.43, "word": "the", "probability": 0.11383056640625}, {"start": 1755.43, "end": 1756.83, "word": " ratio", "probability": 0.94140625}, {"start": 1756.83, "end": 1758.35, "word": " test", "probability": 0.90283203125}, {"start": 1758.35, "end": 1759.25, "word": " the", "probability": 0.5224609375}, {"start": 1759.25, "end": 1760.29, "word": " series", "probability": 0.9130859375}, {"start": 1760.29, "end": 1761.73, "word": " الهي", "probability": 0.4296061197916667}, {"start": 1761.73, "end": 1762.59, "word": " summation", "probability": 0.4326171875}, {"start": 1762.59, "end": 1763.61, "word": " لل", "probability": 0.71923828125}, {"start": 1763.61, "end": 1764.07, "word": " N", "probability": 0.479248046875}, {"start": 1764.07, "end": 1765.15, "word": " factorial", "probability": 0.53125}, {"start": 1765.15, "end": 1765.95, "word": " على", "probability": 0.5751953125}, {"start": 1765.95, "end": 1766.55, "word": " عشرة", "probability": 0.9518229166666666}, {"start": 1766.55, "end": 1766.85, "word": " to", "probability": 0.93505859375}, {"start": 1766.85, "end": 1767.07, "word": " the", "probability": 0.92724609375}, {"start": 1767.07, "end": 1767.49, "word": " power", "probability": 0.87939453125}, {"start": 1767.49, "end": 1768.11, "word": " N", "probability": 0.8154296875}, {"start": 1768.11, "end": 1768.81, "word": " by", "probability": 0.880859375}, {"start": 1768.81, "end": 1769.13, "word": " where", "probability": 0.2939453125}], "temperature": 1.0}, {"id": 76, "seek": 178726, "start": 1772.14, "end": 1787.26, "text": "طبعا احنا الان في الاختبار الخامس السؤال هو هل في امكانية احله باختبار اخر؟ اقول نعم لو جيت على اختبار الحد النوني اللي هو اول اختبار", "tokens": [9566, 3555, 3615, 995, 1975, 5016, 8315, 2423, 7649, 8978, 2423, 47283, 2655, 3555, 9640, 33962, 10943, 3794, 21136, 33604, 6027, 31439, 8032, 1211, 8978, 1975, 2304, 41361, 10632, 1975, 5016, 43761, 4724, 47283, 2655, 3555, 9640, 1975, 34740, 22807, 1975, 39648, 8717, 25957, 45164, 10874, 36081, 15844, 1975, 46456, 3555, 9640, 21542, 3215, 28239, 11536, 1829, 13672, 1829, 31439, 1975, 12610, 1975, 46456, 3555, 9640], "avg_logprob": -0.13386194474661528, "compression_ratio": 1.8120300751879699, "no_speech_prob": 0.0, "words": [{"start": 1772.14, "end": 1772.72, "word": "طبعا", "probability": 0.8760986328125}, {"start": 1772.72, "end": 1773.4, "word": " احنا", "probability": 0.8785807291666666}, {"start": 1773.4, "end": 1773.76, "word": " الان", "probability": 0.6329345703125}, {"start": 1773.76, "end": 1773.92, "word": " في", "probability": 0.89111328125}, {"start": 1773.92, "end": 1776.06, "word": " الاختبار", "probability": 0.9025390625}, {"start": 1776.06, "end": 1776.78, "word": " الخامس", "probability": 0.9890950520833334}, {"start": 1776.78, "end": 1777.4, "word": " السؤال", "probability": 0.91357421875}, {"start": 1777.4, "end": 1777.68, "word": " هو", "probability": 0.93505859375}, {"start": 1777.68, "end": 1778.7, "word": " هل", "probability": 0.933837890625}, {"start": 1778.7, "end": 1778.88, "word": " في", "probability": 0.86474609375}, {"start": 1778.88, "end": 1779.68, "word": " امكانية", "probability": 0.8192138671875}, {"start": 1779.68, "end": 1780.2, "word": " احله", "probability": 0.88623046875}, {"start": 1780.2, "end": 1780.98, "word": " باختبار", "probability": 0.983203125}, {"start": 1780.98, "end": 1782.36, "word": " اخر؟", "probability": 0.8069661458333334}, {"start": 1782.36, "end": 1782.64, "word": " اقول", "probability": 0.859375}, {"start": 1782.64, "end": 1783.06, "word": " نعم", "probability": 0.957763671875}, {"start": 1783.06, "end": 1783.8, "word": " لو", "probability": 0.74365234375}, {"start": 1783.8, "end": 1784.08, "word": " جيت", "probability": 0.974853515625}, {"start": 1784.08, "end": 1784.26, "word": " على", "probability": 0.85986328125}, {"start": 1784.26, "end": 1784.76, "word": " اختبار", "probability": 0.98681640625}, {"start": 1784.76, "end": 1785.24, "word": " الحد", "probability": 0.96728515625}, {"start": 1785.24, "end": 1785.66, "word": " النوني", "probability": 0.7718098958333334}, {"start": 1785.66, "end": 1785.74, "word": " اللي", "probability": 0.651123046875}, {"start": 1785.74, "end": 1785.94, "word": " هو", "probability": 0.9833984375}, {"start": 1785.94, "end": 1786.5, "word": " اول", "probability": 0.93603515625}, {"start": 1786.5, "end": 1787.26, "word": " اختبار", "probability": 0.9913330078125}], "temperature": 1.0}, {"id": 77, "seek": 180525, "start": 1787.57, "end": 1805.25, "text": "واخدت ال limit لحد انني لما ال N tends to infinity هذي standard من الجدول رقم ستة في الجدول مظبوط بس مش مجلوبة تمام؟ مدام مجلوبة هذيك السفر إذا هذي قداش اما لنهاية بال N تقريبا بس ال series is diverse", "tokens": [2407, 47283, 3215, 2655, 2423, 4948, 5296, 24401, 16472, 22653, 5296, 15042, 2423, 426, 12258, 281, 13202, 8032, 8848, 1829, 3832, 9154, 25724, 3215, 12610, 12602, 4587, 2304, 8608, 2655, 3660, 8978, 25724, 3215, 12610, 3714, 19913, 3555, 2407, 9566, 4724, 3794, 37893, 3714, 7435, 1211, 37746, 3660, 46811, 10943, 22807, 3714, 3215, 10943, 3714, 7435, 1211, 37746, 3660, 8032, 8848, 1829, 4117, 21136, 5172, 2288, 11933, 15730, 8032, 8848, 1829, 12174, 3215, 33599, 1975, 15042, 5296, 1863, 11296, 10632, 20666, 426, 6055, 4587, 16572, 3555, 995, 4724, 3794, 2423, 2638, 307, 9521], "avg_logprob": -0.41555849763941255, "compression_ratio": 1.5441176470588236, "no_speech_prob": 0.0, "words": [{"start": 1787.57, "end": 1788.29, "word": "واخدت", "probability": 0.7503662109375}, {"start": 1788.29, "end": 1788.37, "word": " ال", "probability": 0.478271484375}, {"start": 1788.37, "end": 1788.61, "word": " limit", "probability": 0.650390625}, {"start": 1788.61, "end": 1789.19, "word": " لحد", "probability": 0.716796875}, {"start": 1789.19, "end": 1789.65, "word": " انني", "probability": 0.4703369140625}, {"start": 1789.65, "end": 1790.05, "word": " لما", "probability": 0.75439453125}, {"start": 1790.05, "end": 1790.25, "word": " ال", "probability": 0.92919921875}, {"start": 1790.25, "end": 1790.51, "word": " N", "probability": 0.421875}, {"start": 1790.51, "end": 1790.87, "word": " tends", "probability": 0.477294921875}, {"start": 1790.87, "end": 1791.11, "word": " to", "probability": 0.921875}, {"start": 1791.11, "end": 1791.79, "word": " infinity", "probability": 0.76171875}, {"start": 1791.79, "end": 1792.61, "word": " هذي", "probability": 0.4541015625}, {"start": 1792.61, "end": 1793.21, "word": " standard", "probability": 0.43359375}, {"start": 1793.21, "end": 1793.73, "word": " من", "probability": 0.96435546875}, {"start": 1793.73, "end": 1794.37, "word": " الجدول", "probability": 0.953125}, {"start": 1794.37, "end": 1794.87, "word": " رقم", "probability": 0.8264973958333334}, {"start": 1794.87, "end": 1795.37, "word": " ستة", "probability": 0.8147786458333334}, {"start": 1795.37, "end": 1795.43, "word": " في", "probability": 0.85498046875}, {"start": 1795.43, "end": 1795.95, "word": " الجدول", "probability": 0.9899088541666666}, {"start": 1795.95, "end": 1796.79, "word": " مظبوط", "probability": 0.74423828125}, {"start": 1796.79, "end": 1797.25, "word": " بس", "probability": 0.871826171875}, {"start": 1797.25, "end": 1797.53, "word": " مش", "probability": 0.56640625}, {"start": 1797.53, "end": 1798.49, "word": " مجلوبة", "probability": 0.83349609375}, {"start": 1798.49, "end": 1799.25, "word": " تمام؟", "probability": 0.564453125}, {"start": 1799.25, "end": 1799.61, "word": " مدام", "probability": 0.4404296875}, {"start": 1799.61, "end": 1800.19, "word": " مجلوبة", "probability": 0.966015625}, {"start": 1800.19, "end": 1800.53, "word": " هذيك", "probability": 0.7005615234375}, {"start": 1800.53, "end": 1800.83, "word": " السفر", "probability": 0.9202473958333334}, {"start": 1800.83, "end": 1801.03, "word": " إذا", "probability": 0.68603515625}, {"start": 1801.03, "end": 1801.33, "word": " هذي", "probability": 0.6714680989583334}, {"start": 1801.33, "end": 1801.95, "word": " قداش", "probability": 0.8212890625}, {"start": 1801.95, "end": 1802.67, "word": " اما", "probability": 0.63818359375}, {"start": 1802.67, "end": 1803.33, "word": " لنهاية", "probability": 0.8642578125}, {"start": 1803.33, "end": 1803.53, "word": " بال", "probability": 0.88720703125}, {"start": 1803.53, "end": 1803.79, "word": " N", "probability": 0.401611328125}, {"start": 1803.79, "end": 1804.13, "word": " تقريبا", "probability": 0.4931396484375}, {"start": 1804.13, "end": 1804.35, "word": " بس", "probability": 0.2410888671875}, {"start": 1804.35, "end": 1804.57, "word": " ال", "probability": 0.787109375}, {"start": 1804.57, "end": 1804.81, "word": " series", "probability": 0.8330078125}, {"start": 1804.81, "end": 1805.01, "word": " is", "probability": 0.373046875}, {"start": 1805.01, "end": 1805.25, "word": " diverse", "probability": 0.73779296875}], "temperature": 1.0}, {"id": 78, "seek": 183453, "start": 1805.93, "end": 1834.53, "text": "يبقى هاي كمان طريقة أخرى لحكم على ال series Conversion أو Divergence من غير ال ratio لكن لما كان موضوع من موضوع ال ratio test حبينا نحل السؤال بال ratio test لكن لو بيجي الكلام بتاعنا احنا بنقيدكش حل بالطريقة التي تراها مناسبة يبقى summation من N equal to infinity لل N على لن ال N أُس N", "tokens": [1829, 3555, 4587, 7578, 8032, 47302, 9122, 2304, 7649, 23032, 16572, 28671, 5551, 34740, 7578, 5296, 5016, 24793, 15844, 2423, 2638, 2656, 29153, 34051, 413, 1837, 15260, 9154, 32771, 13546, 2423, 8509, 44381, 5296, 15042, 25961, 3714, 2407, 11242, 45367, 9154, 3714, 2407, 11242, 45367, 2423, 8509, 1500, 11331, 21292, 8315, 8717, 5016, 1211, 21136, 33604, 6027, 20666, 8509, 1500, 44381, 45164, 4724, 1829, 7435, 1829, 2423, 28820, 10943, 39894, 45761, 8315, 1975, 5016, 8315, 4724, 1863, 4587, 25708, 4117, 8592, 11331, 1211, 20666, 9566, 16572, 28671, 38392, 6055, 23557, 11296, 3714, 8315, 35457, 3660, 7251, 3555, 4587, 7578, 28811, 9154, 426, 2681, 281, 13202, 24976, 426, 15844, 5296, 1863, 2423, 426, 5551, 10859, 3794, 426], "avg_logprob": -0.2509348392486572, "compression_ratio": 1.6793893129770991, "no_speech_prob": 0.0, "words": [{"start": 1805.93, "end": 1806.25, "word": "يبقى", "probability": 0.76373291015625}, {"start": 1806.25, "end": 1806.53, "word": " هاي", "probability": 0.5367431640625}, {"start": 1806.53, "end": 1806.97, "word": " كمان", "probability": 0.8387044270833334}, {"start": 1806.97, "end": 1807.45, "word": " طريقة", "probability": 0.9847005208333334}, {"start": 1807.45, "end": 1807.91, "word": " أخرى", "probability": 0.8971354166666666}, {"start": 1807.91, "end": 1808.31, "word": " لحكم", "probability": 0.7998046875}, {"start": 1808.31, "end": 1808.55, "word": " على", "probability": 0.90673828125}, {"start": 1808.55, "end": 1808.69, "word": " ال", "probability": 0.74560546875}, {"start": 1808.69, "end": 1808.97, "word": " series", "probability": 0.77294921875}, {"start": 1808.97, "end": 1809.91, "word": " Conversion", "probability": 0.504974365234375}, {"start": 1809.91, "end": 1810.05, "word": " أو", "probability": 0.67578125}, {"start": 1810.05, "end": 1810.37, "word": " Divergence", "probability": 0.4582926432291667}, {"start": 1810.37, "end": 1810.53, "word": " من", "probability": 0.95947265625}, {"start": 1810.53, "end": 1810.71, "word": " غير", "probability": 0.996826171875}, {"start": 1810.71, "end": 1810.85, "word": " ال", "probability": 0.93994140625}, {"start": 1810.85, "end": 1811.03, "word": " ratio", "probability": 0.94775390625}, {"start": 1811.03, "end": 1811.29, "word": " لكن", "probability": 0.70458984375}, {"start": 1811.29, "end": 1811.77, "word": " لما", "probability": 0.841552734375}, {"start": 1811.77, "end": 1812.15, "word": " كان", "probability": 0.99169921875}, {"start": 1812.15, "end": 1812.59, "word": " موضوع", "probability": 0.9542236328125}, {"start": 1812.59, "end": 1812.73, "word": " من", "probability": 0.515625}, {"start": 1812.73, "end": 1813.09, "word": " موضوع", "probability": 0.98583984375}, {"start": 1813.09, "end": 1813.21, "word": " ال", "probability": 0.81982421875}, {"start": 1813.21, "end": 1813.49, "word": " ratio", "probability": 0.98681640625}, {"start": 1813.49, "end": 1813.87, "word": " test", "probability": 0.90185546875}, {"start": 1813.87, "end": 1814.65, "word": " حبينا", "probability": 0.7327473958333334}, {"start": 1814.65, "end": 1814.97, "word": " نحل", "probability": 0.9571940104166666}, {"start": 1814.97, "end": 1815.63, "word": " السؤال", "probability": 0.99365234375}, {"start": 1815.63, "end": 1816.29, "word": " بال", "probability": 0.86083984375}, {"start": 1816.29, "end": 1816.83, "word": " ratio", "probability": 0.98876953125}, {"start": 1816.83, "end": 1817.63, "word": " test", "probability": 0.9228515625}, {"start": 1817.63, "end": 1818.25, "word": " لكن", "probability": 0.77099609375}, {"start": 1818.25, "end": 1818.43, "word": " لو", "probability": 0.953125}, {"start": 1818.43, "end": 1818.59, "word": " بيجي", "probability": 0.740966796875}, {"start": 1818.59, "end": 1818.83, "word": " الكلام", "probability": 0.576904296875}, {"start": 1818.83, "end": 1819.07, "word": " بتاعنا", "probability": 0.8463541666666666}, {"start": 1819.07, "end": 1819.23, "word": " احنا", "probability": 0.85791015625}, {"start": 1819.23, "end": 1819.95, "word": " بنقيدكش", "probability": 0.7127278645833334}, {"start": 1819.95, "end": 1820.29, "word": " حل", "probability": 0.90625}, {"start": 1820.29, "end": 1820.91, "word": " بالطريقة", "probability": 0.914306640625}, {"start": 1820.91, "end": 1821.27, "word": " التي", "probability": 0.693359375}, {"start": 1821.27, "end": 1821.99, "word": " تراها", "probability": 0.9921875}, {"start": 1821.99, "end": 1823.33, "word": " مناسبة", "probability": 0.950927734375}, {"start": 1823.33, "end": 1824.01, "word": " يبقى", "probability": 0.961181640625}, {"start": 1824.01, "end": 1824.87, "word": " summation", "probability": 0.88720703125}, {"start": 1824.87, "end": 1825.99, "word": " من", "probability": 0.970703125}, {"start": 1825.99, "end": 1826.43, "word": " N", "probability": 0.447021484375}, {"start": 1826.43, "end": 1826.99, "word": " equal", "probability": 0.6796875}, {"start": 1826.99, "end": 1827.53, "word": " to", "probability": 0.951171875}, {"start": 1827.53, "end": 1828.61, "word": " infinity", "probability": 0.373779296875}, {"start": 1828.61, "end": 1829.79, "word": " لل", "probability": 0.55859375}, {"start": 1829.79, "end": 1830.41, "word": " N", "probability": 0.83642578125}, {"start": 1830.41, "end": 1831.23, "word": " على", "probability": 0.87060546875}, {"start": 1831.23, "end": 1831.79, "word": " لن", "probability": 0.83251953125}, {"start": 1831.79, "end": 1832.03, "word": " ال", "probability": 0.8232421875}, {"start": 1832.03, "end": 1832.57, "word": " N", "probability": 0.935546875}, {"start": 1832.57, "end": 1833.95, "word": " أُس", "probability": 0.579833984375}, {"start": 1833.95, "end": 1834.53, "word": " N", "probability": 0.91943359375}], "temperature": 1.0}, {"id": 79, "seek": 186662, "start": 1838.9, "end": 1866.62, "text": "نطلع في الحد النوني إذا سهل أخذ الجذر النوني بروح باستخدم اختبار الجذر النوني مش سهل بروح على مين على ratio test طبعا بطلع هنا سهل أخذ الجذر النوني و هنا سهل أخذ الجذر النوني تمام إذا بروح باخد limit لما ال intensity للجذر النوني للحد النوني", "tokens": [1863, 9566, 1211, 3615, 8978, 21542, 3215, 28239, 11536, 1829, 11933, 15730, 8608, 3224, 1211, 5551, 9778, 8848, 25724, 8848, 2288, 28239, 11536, 1829, 4724, 32887, 5016, 4724, 995, 14851, 9778, 40448, 1975, 46456, 3555, 9640, 25724, 8848, 2288, 28239, 11536, 1829, 37893, 8608, 3224, 1211, 4724, 32887, 5016, 15844, 3714, 9957, 15844, 8509, 1500, 23032, 3555, 3615, 995, 4724, 9566, 1211, 3615, 34105, 8608, 3224, 1211, 5551, 9778, 8848, 25724, 8848, 2288, 28239, 11536, 1829, 4032, 34105, 8608, 3224, 1211, 5551, 9778, 8848, 25724, 8848, 2288, 28239, 11536, 1829, 46811, 10943, 11933, 15730, 4724, 32887, 5016, 4724, 47283, 3215, 4948, 5296, 15042, 2423, 13749, 24976, 7435, 8848, 2288, 28239, 11536, 1829, 24976, 24401, 28239, 11536, 1829], "avg_logprob": -0.15240995131306728, "compression_ratio": 2.281767955801105, "no_speech_prob": 0.0, "words": [{"start": 1838.9, "end": 1839.62, "word": "نطلع", "probability": 0.6287841796875}, {"start": 1839.62, "end": 1839.74, "word": " في", "probability": 0.541015625}, {"start": 1839.74, "end": 1840.18, "word": " الحد", "probability": 0.901611328125}, {"start": 1840.18, "end": 1840.76, "word": " النوني", "probability": 0.8056640625}, {"start": 1840.76, "end": 1842.12, "word": " إذا", "probability": 0.720703125}, {"start": 1842.12, "end": 1842.74, "word": " سهل", "probability": 0.8987630208333334}, {"start": 1842.74, "end": 1843.3, "word": " أخذ", "probability": 0.841796875}, {"start": 1843.3, "end": 1843.86, "word": " الجذر", "probability": 0.9405924479166666}, {"start": 1843.86, "end": 1844.34, "word": " النوني", "probability": 0.96484375}, {"start": 1844.34, "end": 1844.68, "word": " بروح", "probability": 0.7581380208333334}, {"start": 1844.68, "end": 1845.26, "word": " باستخدم", "probability": 0.83515625}, {"start": 1845.26, "end": 1845.78, "word": " اختبار", "probability": 0.94970703125}, {"start": 1845.78, "end": 1846.22, "word": " الجذر", "probability": 0.984375}, {"start": 1846.22, "end": 1846.44, "word": " النوني", "probability": 0.9684244791666666}, {"start": 1846.44, "end": 1846.78, "word": " مش", "probability": 0.478515625}, {"start": 1846.78, "end": 1847.34, "word": " سهل", "probability": 0.9978841145833334}, {"start": 1847.34, "end": 1848.0, "word": " بروح", "probability": 0.9786783854166666}, {"start": 1848.0, "end": 1848.16, "word": " على", "probability": 0.71484375}, {"start": 1848.16, "end": 1848.5, "word": " مين", "probability": 0.6290283203125}, {"start": 1848.5, "end": 1849.0, "word": " على", "probability": 0.470947265625}, {"start": 1849.0, "end": 1849.5, "word": " ratio", "probability": 0.71728515625}, {"start": 1849.5, "end": 1850.02, "word": " test", "probability": 0.931640625}, {"start": 1850.02, "end": 1851.46, "word": " طبعا", "probability": 0.9769287109375}, {"start": 1851.46, "end": 1852.08, "word": " بطلع", "probability": 0.8695068359375}, {"start": 1852.08, "end": 1852.4, "word": " هنا", "probability": 0.955078125}, {"start": 1852.4, "end": 1852.86, "word": " سهل", "probability": 0.98583984375}, {"start": 1852.86, "end": 1853.24, "word": " أخذ", "probability": 0.9505208333333334}, {"start": 1853.24, "end": 1853.74, "word": " الجذر", "probability": 0.9939778645833334}, {"start": 1853.74, "end": 1854.26, "word": " النوني", "probability": 0.9803059895833334}, {"start": 1854.26, "end": 1854.72, "word": " و", "probability": 0.4892578125}, {"start": 1854.72, "end": 1854.96, "word": " هنا", "probability": 0.81298828125}, {"start": 1854.96, "end": 1855.46, "word": " سهل", "probability": 0.9977213541666666}, {"start": 1855.46, "end": 1855.94, "word": " أخذ", "probability": 0.9523111979166666}, {"start": 1855.94, "end": 1856.6, "word": " الجذر", "probability": 0.9915364583333334}, {"start": 1856.6, "end": 1857.44, "word": " النوني", "probability": 0.98388671875}, {"start": 1857.44, "end": 1858.02, "word": " تمام", "probability": 0.822021484375}, {"start": 1858.02, "end": 1858.6, "word": " إذا", "probability": 0.80712890625}, {"start": 1858.6, "end": 1858.98, "word": " بروح", "probability": 0.9864908854166666}, {"start": 1858.98, "end": 1859.48, "word": " باخد", "probability": 0.9703776041666666}, {"start": 1859.48, "end": 1860.08, "word": " limit", "probability": 0.958984375}, {"start": 1860.08, "end": 1860.94, "word": " لما", "probability": 0.924072265625}, {"start": 1860.94, "end": 1861.18, "word": " ال", "probability": 0.962890625}, {"start": 1861.18, "end": 1861.76, "word": " intensity", "probability": 0.377685546875}, {"start": 1861.76, "end": 1863.98, "word": " للجذر", "probability": 0.8155517578125}, {"start": 1863.98, "end": 1864.84, "word": " النوني", "probability": 0.9705403645833334}, {"start": 1864.84, "end": 1865.82, "word": " للحد", "probability": 0.9375}, {"start": 1865.82, "end": 1866.62, "word": " النوني", "probability": 0.9734700520833334}], "temperature": 1.0}, {"id": 80, "seek": 189538, "start": 1866.88, "end": 1895.38, "text": "لأن الـ N كلها to the power N يسوى ال limit لما ال N tends to infinity لل N أس واحد على N كل هذا على لن ال N هذا الكلام يسوى limit البصر جداش يا شباب من الجدور رقم اتنين و limit المقام", "tokens": [1211, 33456, 2423, 39184, 426, 28242, 11296, 281, 264, 1347, 426, 7251, 3794, 2407, 7578, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 1211, 426, 5551, 3794, 36764, 24401, 15844, 426, 28242, 23758, 15844, 5296, 1863, 2423, 426, 23758, 2423, 28820, 10943, 7251, 3794, 2407, 7578, 4948, 29739, 9381, 2288, 10874, 3215, 33599, 35186, 13412, 3555, 16758, 9154, 25724, 3215, 13063, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 4032, 4948, 9673, 4587, 10943], "avg_logprob": -0.2839227059954091, "compression_ratio": 1.558659217877095, "no_speech_prob": 0.0, "words": [{"start": 1866.88, "end": 1867.62, "word": "لأن", "probability": 0.5859375}, {"start": 1867.62, "end": 1867.92, "word": " الـ", "probability": 0.652099609375}, {"start": 1867.92, "end": 1868.14, "word": " N", "probability": 0.51025390625}, {"start": 1868.14, "end": 1868.82, "word": " كلها", "probability": 0.4337158203125}, {"start": 1868.82, "end": 1869.0, "word": " to", "probability": 0.79736328125}, {"start": 1869.0, "end": 1869.28, "word": " the", "probability": 0.919921875}, {"start": 1869.28, "end": 1869.88, "word": " power", "probability": 0.8818359375}, {"start": 1869.88, "end": 1870.42, "word": " N", "probability": 0.87939453125}, {"start": 1870.42, "end": 1871.82, "word": " يسوى", "probability": 0.77734375}, {"start": 1871.82, "end": 1872.04, "word": " ال", "probability": 0.490966796875}, {"start": 1872.04, "end": 1872.52, "word": " limit", "probability": 0.466552734375}, {"start": 1872.52, "end": 1873.2, "word": " لما", "probability": 0.801513671875}, {"start": 1873.2, "end": 1873.44, "word": " ال", "probability": 0.94775390625}, {"start": 1873.44, "end": 1873.74, "word": " N", "probability": 0.80712890625}, {"start": 1873.74, "end": 1874.14, "word": " tends", "probability": 0.79345703125}, {"start": 1874.14, "end": 1874.42, "word": " to", "probability": 0.9560546875}, {"start": 1874.42, "end": 1875.18, "word": " infinity", "probability": 0.787109375}, {"start": 1875.18, "end": 1876.3, "word": " لل", "probability": 0.541748046875}, {"start": 1876.3, "end": 1876.74, "word": " N", "probability": 0.7607421875}, {"start": 1876.74, "end": 1877.3, "word": " أس", "probability": 0.68896484375}, {"start": 1877.3, "end": 1877.94, "word": " واحد", "probability": 0.880615234375}, {"start": 1877.94, "end": 1878.56, "word": " على", "probability": 0.72265625}, {"start": 1878.56, "end": 1879.26, "word": " N", "probability": 0.97314453125}, {"start": 1879.26, "end": 1880.12, "word": " كل", "probability": 0.88720703125}, {"start": 1880.12, "end": 1880.7, "word": " هذا", "probability": 0.89990234375}, {"start": 1880.7, "end": 1881.34, "word": " على", "probability": 0.93408203125}, {"start": 1881.34, "end": 1882.2, "word": " لن", "probability": 0.7255859375}, {"start": 1882.2, "end": 1882.56, "word": " ال", "probability": 0.8623046875}, {"start": 1882.56, "end": 1883.12, "word": " N", "probability": 0.9609375}, {"start": 1883.12, "end": 1885.44, "word": " هذا", "probability": 0.88134765625}, {"start": 1885.44, "end": 1886.38, "word": " الكلام", "probability": 0.9669596354166666}, {"start": 1886.38, "end": 1887.6, "word": " يسوى", "probability": 0.9622802734375}, {"start": 1887.6, "end": 1888.22, "word": " limit", "probability": 0.5107421875}, {"start": 1888.22, "end": 1888.7, "word": " البصر", "probability": 0.492431640625}, {"start": 1888.7, "end": 1889.0, "word": " جداش", "probability": 0.42431640625}, {"start": 1889.0, "end": 1889.1, "word": " يا", "probability": 0.80908203125}, {"start": 1889.1, "end": 1889.64, "word": " شباب", "probability": 0.9908854166666666}, {"start": 1889.64, "end": 1892.32, "word": " من", "probability": 0.83935546875}, {"start": 1892.32, "end": 1892.78, "word": " الجدور", "probability": 0.8409830729166666}, {"start": 1892.78, "end": 1893.16, "word": " رقم", "probability": 0.8349609375}, {"start": 1893.16, "end": 1893.64, "word": " اتنين", "probability": 0.906005859375}, {"start": 1893.64, "end": 1894.18, "word": " و", "probability": 0.7412109375}, {"start": 1894.18, "end": 1894.42, "word": " limit", "probability": 0.9384765625}, {"start": 1894.42, "end": 1895.38, "word": " المقام", "probability": 0.9925130208333334}], "temperature": 1.0}, {"id": 81, "seek": 192582, "start": 1897.02, "end": 1925.82, "text": "طيب قداش النتج؟ و Zero ماله؟ أقل من الواحد، مظبوط؟ يبقى الأن بروح بقوله By the nth road test the series الهي ال summation لل N على لن ال N كله to the power n convert", "tokens": [9566, 1829, 3555, 12174, 3215, 33599, 2423, 29399, 7435, 22807, 4032, 17182, 3714, 6027, 3224, 22807, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 16247, 1863, 4724, 32887, 5016, 4724, 39648, 3224, 3146, 264, 297, 392, 3060, 1500, 264, 2638, 2423, 3224, 1829, 2423, 28811, 24976, 426, 15844, 5296, 1863, 2423, 426, 28242, 3224, 281, 264, 1347, 297, 7620], "avg_logprob": -0.36629463263920375, "compression_ratio": 1.3465909090909092, "no_speech_prob": 0.0, "words": [{"start": 1897.02, "end": 1897.42, "word": "طيب", "probability": 0.6754150390625}, {"start": 1897.42, "end": 1897.82, "word": " قداش", "probability": 0.6575520833333334}, {"start": 1897.82, "end": 1898.66, "word": " النتج؟", "probability": 0.5469970703125}, {"start": 1898.66, "end": 1899.42, "word": " و", "probability": 0.55810546875}, {"start": 1899.42, "end": 1899.76, "word": " Zero", "probability": 0.4091796875}, {"start": 1899.76, "end": 1900.94, "word": " ماله؟", "probability": 0.82598876953125}, {"start": 1900.94, "end": 1901.98, "word": " أقل", "probability": 0.8640950520833334}, {"start": 1901.98, "end": 1902.2, "word": " من", "probability": 0.99609375}, {"start": 1902.2, "end": 1902.94, "word": " الواحد،", "probability": 0.75030517578125}, {"start": 1902.94, "end": 1904.02, "word": " مظبوط؟", "probability": 0.8763020833333334}, {"start": 1904.02, "end": 1904.46, "word": " يبقى", "probability": 0.9437255859375}, {"start": 1904.46, "end": 1904.82, "word": " الأن", "probability": 0.7274169921875}, {"start": 1904.82, "end": 1905.22, "word": " بروح", "probability": 0.8924153645833334}, {"start": 1905.22, "end": 1905.92, "word": " بقوله", "probability": 0.8662109375}, {"start": 1905.92, "end": 1906.62, "word": " By", "probability": 0.2425537109375}, {"start": 1906.62, "end": 1908.86, "word": " the", "probability": 0.77490234375}, {"start": 1908.86, "end": 1910.9, "word": " nth", "probability": 0.70654296875}, {"start": 1910.9, "end": 1911.82, "word": " road", "probability": 0.31982421875}, {"start": 1911.82, "end": 1913.18, "word": " test", "probability": 0.951171875}, {"start": 1913.18, "end": 1914.48, "word": " the", "probability": 0.32568359375}, {"start": 1914.48, "end": 1915.44, "word": " series", "probability": 0.939453125}, {"start": 1915.44, "end": 1917.64, "word": " الهي", "probability": 0.4996744791666667}, {"start": 1917.64, "end": 1917.72, "word": " ال", "probability": 0.36865234375}, {"start": 1917.72, "end": 1918.58, "word": " summation", "probability": 0.87060546875}, {"start": 1918.58, "end": 1919.78, "word": " لل", "probability": 0.80908203125}, {"start": 1919.78, "end": 1920.38, "word": " N", "probability": 0.5927734375}, {"start": 1920.38, "end": 1921.16, "word": " على", "probability": 0.78662109375}, {"start": 1921.16, "end": 1921.64, "word": " لن", "probability": 0.6904296875}, {"start": 1921.64, "end": 1921.96, "word": " ال", "probability": 0.86767578125}, {"start": 1921.96, "end": 1922.3, "word": " N", "probability": 0.90966796875}, {"start": 1922.3, "end": 1923.08, "word": " كله", "probability": 0.970458984375}, {"start": 1923.08, "end": 1923.3, "word": " to", "probability": 0.93505859375}, {"start": 1923.3, "end": 1923.58, "word": " the", "probability": 0.9326171875}, {"start": 1923.58, "end": 1924.0, "word": " power", "probability": 0.89306640625}, {"start": 1924.0, "end": 1924.52, "word": " n", "probability": 0.448974609375}, {"start": 1924.52, "end": 1925.82, "word": " convert", "probability": 0.406005859375}], "temperature": 1.0}, {"id": 82, "seek": 195173, "start": 1929.49, "end": 1951.73, "text": "يعني انت بتتطلع في المثلة إذا المناسب ال ratio test بناخد ال ratio test إذا مناسب أخذ الجذر النوني بنروح ناخد اختبار الجذر النوني طيب السؤال التالت بيقول ما يأتي نمرة تلاتة", "tokens": [40228, 22653, 16472, 2655, 39894, 2655, 9566, 1211, 3615, 8978, 9673, 12984, 37977, 11933, 15730, 9673, 8315, 35457, 2423, 8509, 1500, 44945, 47283, 3215, 2423, 8509, 1500, 11933, 15730, 3714, 8315, 35457, 5551, 9778, 8848, 25724, 8848, 2288, 28239, 11536, 1829, 44945, 32887, 5016, 8717, 47283, 3215, 1975, 46456, 3555, 9640, 25724, 8848, 2288, 28239, 11536, 1829, 23032, 1829, 3555, 21136, 33604, 6027, 16712, 6027, 2655, 4724, 1829, 39648, 19446, 7251, 10721, 31371, 8717, 2304, 25720, 6055, 1211, 9307, 3660], "avg_logprob": -0.12779706790123457, "compression_ratio": 1.8098159509202454, "no_speech_prob": 0.0, "words": [{"start": 1929.49, "end": 1929.89, "word": "يعني", "probability": 0.704345703125}, {"start": 1929.89, "end": 1930.13, "word": " انت", "probability": 0.772216796875}, {"start": 1930.13, "end": 1930.85, "word": " بتتطلع", "probability": 0.752294921875}, {"start": 1930.85, "end": 1930.97, "word": " في", "probability": 0.86669921875}, {"start": 1930.97, "end": 1931.59, "word": " المثلة", "probability": 0.9365234375}, {"start": 1931.59, "end": 1932.23, "word": " إذا", "probability": 0.7529296875}, {"start": 1932.23, "end": 1932.81, "word": " المناسب", "probability": 0.8834635416666666}, {"start": 1932.81, "end": 1933.01, "word": " ال", "probability": 0.822265625}, {"start": 1933.01, "end": 1933.41, "word": " ratio", "probability": 0.9765625}, {"start": 1933.41, "end": 1933.99, "word": " test", "probability": 0.8896484375}, {"start": 1933.99, "end": 1934.75, "word": " بناخد", "probability": 0.91357421875}, {"start": 1934.75, "end": 1934.95, "word": " ال", "probability": 0.91748046875}, {"start": 1934.95, "end": 1935.33, "word": " ratio", "probability": 0.98974609375}, {"start": 1935.33, "end": 1936.01, "word": " test", "probability": 0.939453125}, {"start": 1936.01, "end": 1937.03, "word": " إذا", "probability": 0.872802734375}, {"start": 1937.03, "end": 1937.69, "word": " مناسب", "probability": 0.9635416666666666}, {"start": 1937.69, "end": 1938.21, "word": " أخذ", "probability": 0.80126953125}, {"start": 1938.21, "end": 1938.79, "word": " الجذر", "probability": 0.9708658854166666}, {"start": 1938.79, "end": 1939.39, "word": " النوني", "probability": 0.9031575520833334}, {"start": 1939.39, "end": 1939.93, "word": " بنروح", "probability": 0.9000651041666666}, {"start": 1939.93, "end": 1940.57, "word": " ناخد", "probability": 0.9869791666666666}, {"start": 1940.57, "end": 1941.27, "word": " اختبار", "probability": 0.9541015625}, {"start": 1941.27, "end": 1942.03, "word": " الجذر", "probability": 0.9920247395833334}, {"start": 1942.03, "end": 1942.89, "word": " النوني", "probability": 0.9680989583333334}, {"start": 1942.89, "end": 1945.67, "word": " طيب", "probability": 0.8956705729166666}, {"start": 1945.67, "end": 1946.13, "word": " السؤال", "probability": 0.9908854166666666}, {"start": 1946.13, "end": 1946.87, "word": " التالت", "probability": 0.9752604166666666}, {"start": 1946.87, "end": 1947.99, "word": " بيقول", "probability": 0.90380859375}, {"start": 1947.99, "end": 1948.31, "word": " ما", "probability": 0.84619140625}, {"start": 1948.31, "end": 1948.97, "word": " يأتي", "probability": 0.7809244791666666}, {"start": 1948.97, "end": 1950.91, "word": " نمرة", "probability": 0.8421223958333334}, {"start": 1950.91, "end": 1951.73, "word": " تلاتة", "probability": 0.9371337890625}], "temperature": 1.0}, {"id": 83, "seek": 198095, "start": 1954.49, "end": 1980.95, "text": "Summation من N equal one to infinity لل N factorial تلاتة على N كله to the power N مرة جيبنا السؤال زي هذا في إحدى الامتحانات الجزء الأخير من المثل السهل أخد الجذر النوني بس ال N factorial بقدر أخده للجذر النوني", "tokens": [50, 40879, 399, 9154, 426, 2681, 472, 281, 13202, 24976, 426, 36916, 6055, 1211, 9307, 3660, 15844, 426, 28242, 3224, 281, 264, 1347, 426, 3714, 25720, 10874, 1829, 3555, 8315, 21136, 33604, 6027, 30767, 1829, 23758, 8978, 11933, 24401, 7578, 2423, 10943, 2655, 5016, 7649, 9307, 25724, 11622, 38207, 16247, 9778, 13546, 9154, 9673, 12984, 1211, 21136, 3224, 1211, 5551, 9778, 3215, 25724, 8848, 2288, 28239, 11536, 1829, 4724, 3794, 2423, 426, 36916, 4724, 28543, 2288, 5551, 9778, 3215, 3224, 24976, 7435, 8848, 2288, 28239, 11536, 1829], "avg_logprob": -0.17720171182670377, "compression_ratio": 1.5213270142180095, "no_speech_prob": 0.0, "words": [{"start": 1954.49, "end": 1955.53, "word": "Summation", "probability": 0.5657552083333334}, {"start": 1955.53, "end": 1956.37, "word": " من", "probability": 0.8544921875}, {"start": 1956.37, "end": 1956.85, "word": " N", "probability": 0.43994140625}, {"start": 1956.85, "end": 1957.51, "word": " equal", "probability": 0.1925048828125}, {"start": 1957.51, "end": 1958.09, "word": " one", "probability": 0.68408203125}, {"start": 1958.09, "end": 1958.39, "word": " to", "probability": 0.92333984375}, {"start": 1958.39, "end": 1959.27, "word": " infinity", "probability": 0.83203125}, {"start": 1959.27, "end": 1960.25, "word": " لل", "probability": 0.6474609375}, {"start": 1960.25, "end": 1960.77, "word": " N", "probability": 0.68701171875}, {"start": 1960.77, "end": 1961.67, "word": " factorial", "probability": 0.66748046875}, {"start": 1961.67, "end": 1963.25, "word": " تلاتة", "probability": 0.8580322265625}, {"start": 1963.25, "end": 1963.57, "word": " على", "probability": 0.72607421875}, {"start": 1963.57, "end": 1964.13, "word": " N", "probability": 0.92578125}, {"start": 1964.13, "end": 1964.97, "word": " كله", "probability": 0.952880859375}, {"start": 1964.97, "end": 1965.19, "word": " to", "probability": 0.890625}, {"start": 1965.19, "end": 1965.41, "word": " the", "probability": 0.9169921875}, {"start": 1965.41, "end": 1965.91, "word": " power", "probability": 0.8896484375}, {"start": 1965.91, "end": 1966.59, "word": " N", "probability": 0.91455078125}, {"start": 1966.59, "end": 1968.25, "word": " مرة", "probability": 0.81298828125}, {"start": 1968.25, "end": 1968.57, "word": " جيبنا", "probability": 0.8883056640625}, {"start": 1968.57, "end": 1968.99, "word": " السؤال", "probability": 0.86376953125}, {"start": 1968.99, "end": 1969.19, "word": " زي", "probability": 0.90625}, {"start": 1969.19, "end": 1969.51, "word": " هذا", "probability": 0.91943359375}, {"start": 1969.51, "end": 1969.77, "word": " في", "probability": 0.94482421875}, {"start": 1969.77, "end": 1970.25, "word": " إحدى", "probability": 0.8460286458333334}, {"start": 1970.25, "end": 1971.97, "word": " الامتحانات", "probability": 0.942138671875}, {"start": 1971.97, "end": 1974.01, "word": " الجزء", "probability": 0.8375651041666666}, {"start": 1974.01, "end": 1974.59, "word": " الأخير", "probability": 0.8382161458333334}, {"start": 1974.59, "end": 1974.77, "word": " من", "probability": 0.9384765625}, {"start": 1974.77, "end": 1975.15, "word": " المثل", "probability": 0.8181966145833334}, {"start": 1975.15, "end": 1975.71, "word": " السهل", "probability": 0.97705078125}, {"start": 1975.71, "end": 1976.15, "word": " أخد", "probability": 0.7449544270833334}, {"start": 1976.15, "end": 1976.77, "word": " الجذر", "probability": 0.9777018229166666}, {"start": 1976.77, "end": 1977.41, "word": " النوني", "probability": 0.9295247395833334}, {"start": 1977.41, "end": 1978.03, "word": " بس", "probability": 0.94482421875}, {"start": 1978.03, "end": 1978.21, "word": " ال", "probability": 0.9443359375}, {"start": 1978.21, "end": 1978.45, "word": " N", "probability": 0.86083984375}, {"start": 1978.45, "end": 1979.19, "word": " factorial", "probability": 0.7265625}, {"start": 1979.19, "end": 1979.61, "word": " بقدر", "probability": 0.9480794270833334}, {"start": 1979.61, "end": 1979.95, "word": " أخده", "probability": 0.9188232421875}, {"start": 1979.95, "end": 1980.43, "word": " للجذر", "probability": 0.927734375}, {"start": 1980.43, "end": 1980.95, "word": " النوني", "probability": 0.9791666666666666}], "temperature": 1.0}, {"id": 84, "seek": 198509, "start": 1981.41, "end": 1985.09, "text": "يبقى ال automatic على ال ratio test", "tokens": [1829, 3555, 4587, 7578, 2423, 12509, 15844, 2423, 8509, 1500], "avg_logprob": -0.594460205598311, "compression_ratio": 0.9583333333333334, "no_speech_prob": 0.004329681396484375, "words": [{"start": 1981.41, "end": 1981.81, "word": "يبقى", "probability": 0.67120361328125}, {"start": 1981.81, "end": 1981.95, "word": " ال", "probability": 0.56884765625}, {"start": 1981.95, "end": 1982.29, "word": " automatic", "probability": 0.158203125}, {"start": 1982.29, "end": 1982.69, "word": " على", "probability": 0.64990234375}, {"start": 1982.69, "end": 1983.87, "word": " ال", "probability": 0.64501953125}, {"start": 1983.87, "end": 1984.33, "word": " ratio", "probability": 0.89404296875}, {"start": 1984.33, "end": 1985.09, "word": " test", "probability": 0.92529296875}], "temperature": 1.0}, {"id": 85, "seek": 203176, "start": 2011.48, "end": 2031.76, "text": "لو N factorial تلاتة to the power N على N to the power N يبقى هذا الكلام بدي يساوي ال limit لما ال N tends to infinity لل N زائد واحد في ال N factorial", "tokens": [1211, 2407, 426, 36916, 6055, 1211, 9307, 3660, 281, 264, 1347, 426, 15844, 426, 281, 264, 1347, 426, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 4724, 16254, 7251, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 1211, 426, 30767, 16373, 3215, 36764, 24401, 8978, 2423, 426, 36916], "avg_logprob": -0.2758969940521099, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 2011.48, "end": 2011.88, "word": "لو", "probability": 0.28204345703125}, {"start": 2011.88, "end": 2012.18, "word": " N", "probability": 0.34423828125}, {"start": 2012.18, "end": 2013.14, "word": " factorial", "probability": 0.41845703125}, {"start": 2013.14, "end": 2014.58, "word": " تلاتة", "probability": 0.7857666015625}, {"start": 2014.58, "end": 2014.78, "word": " to", "probability": 0.900390625}, {"start": 2014.78, "end": 2014.98, "word": " the", "probability": 0.90625}, {"start": 2014.98, "end": 2015.5, "word": " power", "probability": 0.9033203125}, {"start": 2015.5, "end": 2016.04, "word": " N", "probability": 0.9228515625}, {"start": 2016.04, "end": 2016.86, "word": " على", "probability": 0.69140625}, {"start": 2016.86, "end": 2017.36, "word": " N", "probability": 0.970703125}, {"start": 2017.36, "end": 2017.7, "word": " to", "probability": 0.9677734375}, {"start": 2017.7, "end": 2018.08, "word": " the", "probability": 0.92333984375}, {"start": 2018.08, "end": 2018.58, "word": " power", "probability": 0.87060546875}, {"start": 2018.58, "end": 2019.12, "word": " N", "probability": 0.9794921875}, {"start": 2019.12, "end": 2021.62, "word": " يبقى", "probability": 0.869873046875}, {"start": 2021.62, "end": 2021.92, "word": " هذا", "probability": 0.94580078125}, {"start": 2021.92, "end": 2022.38, "word": " الكلام", "probability": 0.9591471354166666}, {"start": 2022.38, "end": 2022.7, "word": " بدي", "probability": 0.38330078125}, {"start": 2022.7, "end": 2023.14, "word": " يساوي", "probability": 0.729736328125}, {"start": 2023.14, "end": 2023.32, "word": " ال", "probability": 0.80810546875}, {"start": 2023.32, "end": 2023.76, "word": " limit", "probability": 0.890625}, {"start": 2023.76, "end": 2024.58, "word": " لما", "probability": 0.94189453125}, {"start": 2024.58, "end": 2024.78, "word": " ال", "probability": 0.9755859375}, {"start": 2024.78, "end": 2025.06, "word": " N", "probability": 0.8564453125}, {"start": 2025.06, "end": 2025.42, "word": " tends", "probability": 0.8203125}, {"start": 2025.42, "end": 2025.68, "word": " to", "probability": 0.94580078125}, {"start": 2025.68, "end": 2026.4, "word": " infinity", "probability": 0.83740234375}, {"start": 2026.4, "end": 2027.5, "word": " لل", "probability": 0.662353515625}, {"start": 2027.5, "end": 2027.9, "word": " N", "probability": 0.9228515625}, {"start": 2027.9, "end": 2028.8, "word": " زائد", "probability": 0.94677734375}, {"start": 2028.8, "end": 2029.58, "word": " واحد", "probability": 0.941650390625}, {"start": 2029.58, "end": 2030.04, "word": " في", "probability": 0.92626953125}, {"start": 2030.04, "end": 2030.38, "word": " ال", "probability": 0.7548828125}, {"start": 2030.38, "end": 2030.82, "word": " N", "probability": 0.98046875}, {"start": 2030.82, "end": 2031.76, "word": " factorial", "probability": 0.8603515625}], "temperature": 1.0}, {"id": 86, "seek": 205191, "start": 2032.25, "end": 2051.91, "text": "يبقى فكية ال N زائد واحد factorial هذه بقدر اكتبها تلاتة أس واحد في تلاتة أس N مقسومة على N زائد واحد في N زائد واحد to the power M", "tokens": [1829, 3555, 4587, 7578, 6156, 4117, 10632, 2423, 426, 30767, 16373, 3215, 36764, 24401, 36916, 29538, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 6055, 1211, 9307, 3660, 5551, 3794, 36764, 24401, 8978, 6055, 1211, 9307, 3660, 5551, 3794, 426, 3714, 4587, 3794, 20498, 3660, 15844, 426, 30767, 16373, 3215, 36764, 24401, 8978, 426, 30767, 16373, 3215, 36764, 24401, 281, 264, 1347, 376], "avg_logprob": -0.17041015159338713, "compression_ratio": 1.536764705882353, "no_speech_prob": 0.0, "words": [{"start": 2032.25, "end": 2032.75, "word": "يبقى", "probability": 0.80029296875}, {"start": 2032.75, "end": 2033.53, "word": " فكية", "probability": 0.6272786458333334}, {"start": 2033.53, "end": 2033.75, "word": " ال", "probability": 0.59716796875}, {"start": 2033.75, "end": 2034.03, "word": " N", "probability": 0.303466796875}, {"start": 2034.03, "end": 2034.51, "word": " زائد", "probability": 0.7384440104166666}, {"start": 2034.51, "end": 2034.87, "word": " واحد", "probability": 0.9423828125}, {"start": 2034.87, "end": 2035.55, "word": " factorial", "probability": 0.5908203125}, {"start": 2035.55, "end": 2036.59, "word": " هذه", "probability": 0.36376953125}, {"start": 2036.59, "end": 2037.05, "word": " بقدر", "probability": 0.8976236979166666}, {"start": 2037.05, "end": 2037.63, "word": " اكتبها", "probability": 0.89111328125}, {"start": 2037.63, "end": 2038.41, "word": " تلاتة", "probability": 0.8863525390625}, {"start": 2038.41, "end": 2038.81, "word": " أس", "probability": 0.72998046875}, {"start": 2038.81, "end": 2039.69, "word": " واحد", "probability": 0.98095703125}, {"start": 2039.69, "end": 2040.25, "word": " في", "probability": 0.9091796875}, {"start": 2040.25, "end": 2041.19, "word": " تلاتة", "probability": 0.9862060546875}, {"start": 2041.19, "end": 2041.73, "word": " أس", "probability": 0.97119140625}, {"start": 2041.73, "end": 2042.23, "word": " N", "probability": 0.94287109375}, {"start": 2042.23, "end": 2043.83, "word": " مقسومة", "probability": 0.85849609375}, {"start": 2043.83, "end": 2044.17, "word": " على", "probability": 0.88330078125}, {"start": 2044.17, "end": 2045.29, "word": " N", "probability": 0.83544921875}, {"start": 2045.29, "end": 2046.57, "word": " زائد", "probability": 0.9796549479166666}, {"start": 2046.57, "end": 2047.35, "word": " واحد", "probability": 0.99267578125}, {"start": 2047.35, "end": 2048.01, "word": " في", "probability": 0.9443359375}, {"start": 2048.01, "end": 2048.53, "word": " N", "probability": 0.92138671875}, {"start": 2048.53, "end": 2049.63, "word": " زائد", "probability": 0.9773763020833334}, {"start": 2049.63, "end": 2050.27, "word": " واحد", "probability": 0.991455078125}, {"start": 2050.27, "end": 2050.55, "word": " to", "probability": 0.93115234375}, {"start": 2050.55, "end": 2050.85, "word": " the", "probability": 0.9287109375}, {"start": 2050.85, "end": 2051.43, "word": " power", "probability": 0.89111328125}, {"start": 2051.43, "end": 2051.91, "word": " M", "probability": 0.5517578125}], "temperature": 1.0}, {"id": 87, "seek": 207162, "start": 2052.44, "end": 2071.62, "text": "يبقى N زياد واحد أس واحد مضروب في N زياد واحد أس M هيبسطنا من الحد النوني زياد واحد نجي للحد النوني بصير N أس M على N factorial تلاتة to the power M", "tokens": [1829, 3555, 4587, 7578, 426, 30767, 1829, 18513, 36764, 24401, 5551, 3794, 36764, 24401, 3714, 11242, 32887, 3555, 8978, 426, 30767, 1829, 18513, 36764, 24401, 5551, 3794, 376, 39896, 3555, 3794, 9566, 8315, 9154, 21542, 3215, 28239, 11536, 1829, 30767, 1829, 18513, 36764, 24401, 8717, 7435, 1829, 24976, 24401, 28239, 11536, 1829, 4724, 9381, 13546, 426, 5551, 3794, 376, 15844, 426, 36916, 6055, 1211, 9307, 3660, 281, 264, 1347, 376], "avg_logprob": -0.20092429619439892, "compression_ratio": 1.6232876712328768, "no_speech_prob": 0.0, "words": [{"start": 2052.44, "end": 2053.12, "word": "يبقى", "probability": 0.75897216796875}, {"start": 2053.12, "end": 2053.28, "word": " N", "probability": 0.45166015625}, {"start": 2053.28, "end": 2053.8, "word": " زياد", "probability": 0.3367919921875}, {"start": 2053.8, "end": 2054.22, "word": " واحد", "probability": 0.857421875}, {"start": 2054.22, "end": 2054.56, "word": " أس", "probability": 0.6171875}, {"start": 2054.56, "end": 2055.0, "word": " واحد", "probability": 0.978271484375}, {"start": 2055.0, "end": 2055.5, "word": " مضروب", "probability": 0.8499755859375}, {"start": 2055.5, "end": 2055.66, "word": " في", "probability": 0.75341796875}, {"start": 2055.66, "end": 2055.9, "word": " N", "probability": 0.8447265625}, {"start": 2055.9, "end": 2056.22, "word": " زياد", "probability": 0.8919270833333334}, {"start": 2056.22, "end": 2056.78, "word": " واحد", "probability": 0.991455078125}, {"start": 2056.78, "end": 2057.46, "word": " أس", "probability": 0.947021484375}, {"start": 2057.46, "end": 2057.84, "word": " M", "probability": 0.8759765625}, {"start": 2057.84, "end": 2059.54, "word": " هيبسطنا", "probability": 0.72841796875}, {"start": 2059.54, "end": 2059.82, "word": " من", "probability": 0.953125}, {"start": 2059.82, "end": 2060.72, "word": " الحد", "probability": 0.952880859375}, {"start": 2060.72, "end": 2061.26, "word": " النوني", "probability": 0.8382161458333334}, {"start": 2061.26, "end": 2061.7, "word": " زياد", "probability": 0.94775390625}, {"start": 2061.7, "end": 2062.12, "word": " واحد", "probability": 0.989990234375}, {"start": 2062.12, "end": 2062.96, "word": " نجي", "probability": 0.7913411458333334}, {"start": 2062.96, "end": 2063.64, "word": " للحد", "probability": 0.78759765625}, {"start": 2063.64, "end": 2064.28, "word": " النوني", "probability": 0.96142578125}, {"start": 2064.28, "end": 2064.98, "word": " بصير", "probability": 0.8736979166666666}, {"start": 2064.98, "end": 2065.52, "word": " N", "probability": 0.908203125}, {"start": 2065.52, "end": 2066.16, "word": " أس", "probability": 0.9541015625}, {"start": 2066.16, "end": 2066.6, "word": " M", "probability": 0.97021484375}, {"start": 2066.6, "end": 2067.46, "word": " على", "probability": 0.74560546875}, {"start": 2067.46, "end": 2067.94, "word": " N", "probability": 0.95068359375}, {"start": 2067.94, "end": 2069.02, "word": " factorial", "probability": 0.640625}, {"start": 2069.02, "end": 2070.1, "word": " تلاتة", "probability": 0.8765869140625}, {"start": 2070.1, "end": 2070.32, "word": " to", "probability": 0.921875}, {"start": 2070.32, "end": 2070.52, "word": " the", "probability": 0.923828125}, {"start": 2070.52, "end": 2071.1, "word": " power", "probability": 0.8828125}, {"start": 2071.1, "end": 2071.62, "word": " M", "probability": 0.890625}], "temperature": 1.0}, {"id": 88, "seek": 210166, "start": 2071.86, "end": 2101.66, "text": "نختصر الاختصارات تلاتة أس ان مع تلاتة أس ان ان factorial مع ان factorial ان زائد واحد مع مان مع ان زائد واحد يبقى النتيجة تساوي هي التلاتة خليها برا وهي limit لما ال in tends to infinity لل in to the power n على n plus one to the power n أو تلاتة limit", "tokens": [1863, 46456, 9381, 2288, 2423, 47283, 2655, 9381, 9640, 9307, 6055, 1211, 9307, 3660, 5551, 3794, 16472, 20449, 6055, 1211, 9307, 3660, 5551, 3794, 16472, 16472, 5952, 831, 20449, 16472, 5952, 831, 16472, 30767, 16373, 3215, 36764, 24401, 20449, 3714, 7649, 20449, 16472, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 6055, 3794, 995, 45865, 39896, 16712, 1211, 9307, 3660, 16490, 20292, 11296, 4724, 23557, 37037, 1829, 4948, 5296, 15042, 2423, 294, 12258, 281, 13202, 24976, 294, 281, 264, 1347, 297, 15844, 297, 1804, 472, 281, 264, 1347, 297, 34051, 6055, 1211, 9307, 3660, 4948], "avg_logprob": -0.22215346003522968, "compression_ratio": 1.8465346534653466, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2071.86, "end": 2072.94, "word": "نختصر", "probability": 0.813232421875}, {"start": 2072.94, "end": 2073.8, "word": " الاختصارات", "probability": 0.8487955729166666}, {"start": 2073.8, "end": 2074.36, "word": " تلاتة", "probability": 0.765289306640625}, {"start": 2074.36, "end": 2074.66, "word": " أس", "probability": 0.5609130859375}, {"start": 2074.66, "end": 2074.94, "word": " ان", "probability": 0.51904296875}, {"start": 2074.94, "end": 2075.18, "word": " مع", "probability": 0.96142578125}, {"start": 2075.18, "end": 2075.72, "word": " تلاتة", "probability": 0.9853515625}, {"start": 2075.72, "end": 2076.04, "word": " أس", "probability": 0.949462890625}, {"start": 2076.04, "end": 2076.4, "word": " ان", "probability": 0.64697265625}, {"start": 2076.4, "end": 2077.1, "word": " ان", "probability": 0.33935546875}, {"start": 2077.1, "end": 2078.3, "word": " factorial", "probability": 0.58526611328125}, {"start": 2078.3, "end": 2078.8, "word": " مع", "probability": 0.955078125}, {"start": 2078.8, "end": 2079.24, "word": " ان", "probability": 0.73388671875}, {"start": 2079.24, "end": 2080.18, "word": " factorial", "probability": 0.781982421875}, {"start": 2080.18, "end": 2080.72, "word": " ان", "probability": 0.6572265625}, {"start": 2080.72, "end": 2081.22, "word": " زائد", "probability": 0.8802083333333334}, {"start": 2081.22, "end": 2081.68, "word": " واحد", "probability": 0.98486328125}, {"start": 2081.68, "end": 2081.92, "word": " مع", "probability": 0.986328125}, {"start": 2081.92, "end": 2082.32, "word": " مان", "probability": 0.4493408203125}, {"start": 2082.32, "end": 2083.12, "word": " مع", "probability": 0.90771484375}, {"start": 2083.12, "end": 2083.66, "word": " ان", "probability": 0.84619140625}, {"start": 2083.66, "end": 2084.74, "word": " زائد", "probability": 0.9798177083333334}, {"start": 2084.74, "end": 2085.3, "word": " واحد", "probability": 0.99072265625}, {"start": 2085.3, "end": 2086.28, "word": " يبقى", "probability": 0.954345703125}, {"start": 2086.28, "end": 2086.96, "word": " النتيجة", "probability": 0.953857421875}, {"start": 2086.96, "end": 2087.94, "word": " تساوي", "probability": 0.9677734375}, {"start": 2087.94, "end": 2088.5, "word": " هي", "probability": 0.364501953125}, {"start": 2088.5, "end": 2089.3, "word": " التلاتة", "probability": 0.974365234375}, {"start": 2089.3, "end": 2089.9, "word": " خليها", "probability": 0.9244791666666666}, {"start": 2089.9, "end": 2090.46, "word": " برا", "probability": 0.916748046875}, {"start": 2090.46, "end": 2091.48, "word": " وهي", "probability": 0.847900390625}, {"start": 2091.48, "end": 2091.94, "word": " limit", "probability": 0.89990234375}, {"start": 2091.94, "end": 2092.34, "word": " لما", "probability": 0.824951171875}, {"start": 2092.34, "end": 2092.54, "word": " ال", "probability": 0.958984375}, {"start": 2092.54, "end": 2092.72, "word": " in", "probability": 0.151611328125}, {"start": 2092.72, "end": 2093.14, "word": " tends", "probability": 0.77685546875}, {"start": 2093.14, "end": 2093.34, "word": " to", "probability": 0.900390625}, {"start": 2093.34, "end": 2094.06, "word": " infinity", "probability": 0.8369140625}, {"start": 2094.06, "end": 2094.86, "word": " لل", "probability": 0.8408203125}, {"start": 2094.86, "end": 2095.3, "word": " in", "probability": 0.73828125}, {"start": 2095.3, "end": 2095.6, "word": " to", "probability": 0.96240234375}, {"start": 2095.6, "end": 2095.84, "word": " the", "probability": 0.91552734375}, {"start": 2095.84, "end": 2096.28, "word": " power", "probability": 0.8955078125}, {"start": 2096.28, "end": 2096.72, "word": " n", "probability": 0.467041015625}, {"start": 2096.72, "end": 2097.02, "word": " على", "probability": 0.64111328125}, {"start": 2097.02, "end": 2097.36, "word": " n", "probability": 0.64501953125}, {"start": 2097.36, "end": 2097.94, "word": " plus", "probability": 0.8984375}, {"start": 2097.94, "end": 2098.32, "word": " one", "probability": 0.90869140625}, {"start": 2098.32, "end": 2098.58, "word": " to", "probability": 0.97314453125}, {"start": 2098.58, "end": 2098.78, "word": " the", "probability": 0.916015625}, {"start": 2098.78, "end": 2099.24, "word": " power", "probability": 0.87646484375}, {"start": 2099.24, "end": 2099.74, "word": " n", "probability": 0.8974609375}, {"start": 2099.74, "end": 2100.44, "word": " أو", "probability": 0.6396484375}, {"start": 2100.44, "end": 2101.26, "word": " تلاتة", "probability": 0.9859619140625}, {"start": 2101.26, "end": 2101.66, "word": " limit", "probability": 0.96484375}], "temperature": 1.0}, {"id": 89, "seek": 212742, "start": 2103.95, "end": 2127.43, "text": "يلا بدنا نحسب ال limit هذا، نشوف إيش رأيكوا فيه هذه شفتوها قبل هيك ال limit هذه؟ شفناها عدة مرات مش مرة واحدة، مش هيك؟ طب شافوا يا حد بيقدر يقولي قداش الناتج؟ يلا شافوا قداش الناتج لهذه؟ ال limit لهذا المقدار؟ قداش؟", "tokens": [1829, 15040, 47525, 8315, 8717, 5016, 35457, 2423, 4948, 23758, 12399, 8717, 8592, 38688, 11933, 1829, 8592, 12602, 10721, 1829, 4117, 14407, 8978, 3224, 29538, 13412, 5172, 2655, 2407, 11296, 12174, 36150, 39896, 4117, 2423, 4948, 29538, 22807, 13412, 5172, 8315, 11296, 6225, 41891, 3714, 2288, 9307, 37893, 3714, 25720, 36764, 24401, 3660, 12399, 37893, 39896, 4117, 22807, 23032, 3555, 13412, 31845, 14407, 35186, 11331, 3215, 4724, 1829, 28543, 2288, 7251, 39648, 1829, 12174, 3215, 33599, 28239, 9307, 7435, 22807, 7251, 15040, 13412, 31845, 14407, 12174, 3215, 33599, 28239, 9307, 7435, 46740, 24192, 22807, 2423, 4948, 46740, 15730, 9673, 28543, 9640, 22807, 12174, 3215, 33599, 22807], "avg_logprob": -0.21743574571386676, "compression_ratio": 1.8934010152284264, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2103.9500000000003, "end": 2104.63, "word": "يلا", "probability": 0.34039306640625}, {"start": 2104.63, "end": 2104.95, "word": " بدنا", "probability": 0.6943359375}, {"start": 2104.95, "end": 2105.29, "word": " نحسب", "probability": 0.9899088541666666}, {"start": 2105.29, "end": 2105.45, "word": " ال", "probability": 0.86181640625}, {"start": 2105.45, "end": 2105.67, "word": " limit", "probability": 0.93408203125}, {"start": 2105.67, "end": 2106.09, "word": " هذا،", "probability": 0.45361328125}, {"start": 2106.09, "end": 2106.33, "word": " نشوف", "probability": 0.9713541666666666}, {"start": 2106.33, "end": 2106.59, "word": " إيش", "probability": 0.7760416666666666}, {"start": 2106.59, "end": 2107.09, "word": " رأيكوا", "probability": 0.7408203125}, {"start": 2107.09, "end": 2107.33, "word": " فيه", "probability": 0.692626953125}, {"start": 2107.33, "end": 2107.65, "word": " هذه", "probability": 0.66845703125}, {"start": 2107.65, "end": 2108.65, "word": " شفتوها", "probability": 0.717529296875}, {"start": 2108.65, "end": 2108.97, "word": " قبل", "probability": 0.981689453125}, {"start": 2108.97, "end": 2109.23, "word": " هيك", "probability": 0.59100341796875}, {"start": 2109.23, "end": 2109.35, "word": " ال", "probability": 0.9638671875}, {"start": 2109.35, "end": 2109.59, "word": " limit", "probability": 0.97314453125}, {"start": 2109.59, "end": 2110.17, "word": " هذه؟", "probability": 0.88037109375}, {"start": 2110.17, "end": 2111.91, "word": " شفناها", "probability": 0.8697509765625}, {"start": 2111.91, "end": 2112.33, "word": " عدة", "probability": 0.9873046875}, {"start": 2112.33, "end": 2112.93, "word": " مرات", "probability": 0.9812825520833334}, {"start": 2112.93, "end": 2113.17, "word": " مش", "probability": 0.501953125}, {"start": 2113.17, "end": 2113.47, "word": " مرة", "probability": 0.984619140625}, {"start": 2113.47, "end": 2113.89, "word": " واحدة،", "probability": 0.939453125}, {"start": 2113.89, "end": 2114.07, "word": " مش", "probability": 0.9482421875}, {"start": 2114.07, "end": 2115.41, "word": " هيك؟", "probability": 0.9049479166666666}, {"start": 2115.41, "end": 2115.59, "word": " طب", "probability": 0.88720703125}, {"start": 2115.59, "end": 2115.97, "word": " شافوا", "probability": 0.77783203125}, {"start": 2115.97, "end": 2116.07, "word": " يا", "probability": 0.70703125}, {"start": 2116.07, "end": 2116.25, "word": " حد", "probability": 0.9814453125}, {"start": 2116.25, "end": 2116.61, "word": " بيقدر", "probability": 0.794921875}, {"start": 2116.61, "end": 2117.03, "word": " يقولي", "probability": 0.880859375}, {"start": 2117.03, "end": 2117.37, "word": " قداش", "probability": 0.888671875}, {"start": 2117.37, "end": 2119.01, "word": " الناتج؟", "probability": 0.73773193359375}, {"start": 2119.01, "end": 2121.47, "word": " يلا", "probability": 0.91015625}, {"start": 2121.47, "end": 2121.81, "word": " شافوا", "probability": 0.9348958333333334}, {"start": 2121.81, "end": 2122.15, "word": " قداش", "probability": 0.9817708333333334}, {"start": 2122.15, "end": 2122.59, "word": " الناتج", "probability": 0.8929036458333334}, {"start": 2122.59, "end": 2124.45, "word": " لهذه؟", "probability": 0.9313151041666666}, {"start": 2124.45, "end": 2124.69, "word": " ال", "probability": 0.771484375}, {"start": 2124.69, "end": 2124.93, "word": " limit", "probability": 0.9833984375}, {"start": 2124.93, "end": 2125.21, "word": " لهذا", "probability": 0.881103515625}, {"start": 2125.21, "end": 2126.13, "word": " المقدار؟", "probability": 0.8529052734375}, {"start": 2126.13, "end": 2127.43, "word": " قداش؟", "probability": 0.939208984375}], "temperature": 1.0}, {"id": 90, "seek": 215255, "start": 2129.89, "end": 2152.55, "text": "تسمع واحد بس يحكي يعطيني إجابة صحيحة ولا واحد هاي هذه ها تلاتة واحد على ايه مظبوط high limit لما ال M tends to infinity لواحد على واحد زائد واحد على N كله to the power M", "tokens": [2655, 38251, 3615, 36764, 24401, 4724, 3794, 7251, 5016, 4117, 1829, 7251, 3615, 9566, 1829, 22653, 11933, 7435, 16758, 3660, 20328, 5016, 1829, 5016, 3660, 49429, 36764, 24401, 8032, 47302, 29538, 8032, 995, 6055, 1211, 9307, 3660, 36764, 24401, 15844, 1975, 1829, 3224, 3714, 19913, 3555, 2407, 9566, 1090, 4948, 5296, 15042, 2423, 376, 12258, 281, 13202, 5296, 14407, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 15844, 426, 28242, 3224, 281, 264, 1347, 376], "avg_logprob": -0.3392857142857143, "compression_ratio": 1.5497076023391814, "no_speech_prob": 0.0, "words": [{"start": 2129.89, "end": 2130.39, "word": "تسمع", "probability": 0.467529296875}, {"start": 2130.39, "end": 2130.63, "word": " واحد", "probability": 0.93408203125}, {"start": 2130.63, "end": 2130.89, "word": " بس", "probability": 0.7236328125}, {"start": 2130.89, "end": 2131.17, "word": " يحكي", "probability": 0.75152587890625}, {"start": 2131.17, "end": 2131.55, "word": " يعطيني", "probability": 0.649658203125}, {"start": 2131.55, "end": 2131.87, "word": " إجابة", "probability": 0.8214111328125}, {"start": 2131.87, "end": 2132.35, "word": " صحيحة", "probability": 0.896484375}, {"start": 2132.35, "end": 2133.89, "word": " ولا", "probability": 0.220458984375}, {"start": 2133.89, "end": 2134.51, "word": " واحد", "probability": 0.989501953125}, {"start": 2134.51, "end": 2136.67, "word": " هاي", "probability": 0.34149169921875}, {"start": 2136.67, "end": 2138.41, "word": " هذه", "probability": 0.386962890625}, {"start": 2138.41, "end": 2138.87, "word": " ها", "probability": 0.4053955078125}, {"start": 2138.87, "end": 2141.23, "word": " تلاتة", "probability": 0.9080810546875}, {"start": 2141.23, "end": 2141.79, "word": " واحد", "probability": 0.922119140625}, {"start": 2141.79, "end": 2141.97, "word": " على", "probability": 0.57177734375}, {"start": 2141.97, "end": 2142.21, "word": " ايه", "probability": 0.8349609375}, {"start": 2142.21, "end": 2142.75, "word": " مظبوط", "probability": 0.88916015625}, {"start": 2142.75, "end": 2143.03, "word": " high", "probability": 0.50732421875}, {"start": 2143.03, "end": 2143.49, "word": " limit", "probability": 0.96826171875}, {"start": 2143.49, "end": 2144.29, "word": " لما", "probability": 0.8447265625}, {"start": 2144.29, "end": 2144.47, "word": " ال", "probability": 0.94921875}, {"start": 2144.47, "end": 2144.69, "word": " M", "probability": 0.256103515625}, {"start": 2144.69, "end": 2145.05, "word": " tends", "probability": 0.763671875}, {"start": 2145.05, "end": 2145.27, "word": " to", "probability": 0.86669921875}, {"start": 2145.27, "end": 2145.91, "word": " infinity", "probability": 0.8857421875}, {"start": 2145.91, "end": 2147.35, "word": " لواحد", "probability": 0.6874186197916666}, {"start": 2147.35, "end": 2148.09, "word": " على", "probability": 0.76318359375}, {"start": 2148.09, "end": 2148.65, "word": " واحد", "probability": 0.983154296875}, {"start": 2148.65, "end": 2149.25, "word": " زائد", "probability": 0.9230143229166666}, {"start": 2149.25, "end": 2149.73, "word": " واحد", "probability": 0.970947265625}, {"start": 2149.73, "end": 2149.99, "word": " على", "probability": 0.88916015625}, {"start": 2149.99, "end": 2150.33, "word": " N", "probability": 0.5927734375}, {"start": 2150.33, "end": 2150.91, "word": " كله", "probability": 0.961669921875}, {"start": 2150.91, "end": 2151.13, "word": " to", "probability": 0.93017578125}, {"start": 2151.13, "end": 2151.37, "word": " the", "probability": 0.921875}, {"start": 2151.37, "end": 2152.01, "word": " power", "probability": 0.88818359375}, {"start": 2152.01, "end": 2152.55, "word": " M", "probability": 0.89111328125}], "temperature": 1.0}, {"id": 91, "seek": 217309, "start": 2153.37, "end": 2173.09, "text": "جسمنا البس والمقام على مين؟ على n بصير عندي واحد فوق واحد زاد واحد على n كله to the power n هذا النتج بدي سوى تلاتة برا وهذا جدا دواشر واحد على ايه يبقى تلاتة على ايه اكبر من واحدة صحية والله اقل", "tokens": [7435, 38251, 8315, 29739, 3794, 16070, 2304, 4587, 10943, 15844, 3714, 9957, 22807, 15844, 297, 4724, 9381, 13546, 18871, 16254, 36764, 24401, 6156, 30543, 36764, 24401, 30767, 18513, 36764, 24401, 15844, 297, 28242, 3224, 281, 264, 1347, 297, 23758, 2423, 29399, 7435, 4724, 16254, 8608, 2407, 7578, 6055, 1211, 9307, 3660, 4724, 23557, 37037, 15730, 10874, 28259, 11778, 2407, 33599, 2288, 36764, 24401, 15844, 1975, 1829, 3224, 7251, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 15844, 1975, 1829, 3224, 1975, 4117, 26890, 9154, 36764, 24401, 3660, 20328, 5016, 10632, 16070, 43761, 1975, 4587, 1211], "avg_logprob": -0.3536184323461432, "compression_ratio": 1.8611111111111112, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2153.37, "end": 2154.13, "word": "جسمنا", "probability": 0.5799153645833334}, {"start": 2154.13, "end": 2154.45, "word": " البس", "probability": 0.41748046875}, {"start": 2154.45, "end": 2155.07, "word": " والمقام", "probability": 0.82196044921875}, {"start": 2155.07, "end": 2155.27, "word": " على", "probability": 0.7197265625}, {"start": 2155.27, "end": 2156.09, "word": " مين؟", "probability": 0.6512044270833334}, {"start": 2156.09, "end": 2156.61, "word": " على", "probability": 0.7041015625}, {"start": 2156.61, "end": 2157.03, "word": " n", "probability": 0.2110595703125}, {"start": 2157.03, "end": 2157.45, "word": " بصير", "probability": 0.7068684895833334}, {"start": 2157.45, "end": 2157.81, "word": " عندي", "probability": 0.6591796875}, {"start": 2157.81, "end": 2158.17, "word": " واحد", "probability": 0.91650390625}, {"start": 2158.17, "end": 2158.53, "word": " فوق", "probability": 0.7841796875}, {"start": 2158.53, "end": 2158.95, "word": " واحد", "probability": 0.964111328125}, {"start": 2158.95, "end": 2159.27, "word": " زاد", "probability": 0.598876953125}, {"start": 2159.27, "end": 2159.65, "word": " واحد", "probability": 0.95556640625}, {"start": 2159.65, "end": 2159.89, "word": " على", "probability": 0.86962890625}, {"start": 2159.89, "end": 2160.13, "word": " n", "probability": 0.71533203125}, {"start": 2160.13, "end": 2160.63, "word": " كله", "probability": 0.96435546875}, {"start": 2160.63, "end": 2160.75, "word": " to", "probability": 0.7802734375}, {"start": 2160.75, "end": 2161.03, "word": " the", "probability": 0.908203125}, {"start": 2161.03, "end": 2161.53, "word": " power", "probability": 0.9013671875}, {"start": 2161.53, "end": 2161.93, "word": " n", "probability": 0.51318359375}, {"start": 2161.93, "end": 2162.85, "word": " هذا", "probability": 0.8408203125}, {"start": 2162.85, "end": 2163.33, "word": " النتج", "probability": 0.63330078125}, {"start": 2163.33, "end": 2163.63, "word": " بدي", "probability": 0.5450439453125}, {"start": 2163.63, "end": 2164.09, "word": " سوى", "probability": 0.5358072916666666}, {"start": 2164.09, "end": 2164.85, "word": " تلاتة", "probability": 0.860107421875}, {"start": 2164.85, "end": 2165.15, "word": " برا", "probability": 0.822021484375}, {"start": 2165.15, "end": 2165.45, "word": " وهذا", "probability": 0.739013671875}, {"start": 2165.45, "end": 2165.71, "word": " جدا", "probability": 0.36474609375}, {"start": 2165.71, "end": 2166.61, "word": " دواشر", "probability": 0.5859375}, {"start": 2166.61, "end": 2167.15, "word": " واحد", "probability": 0.909423828125}, {"start": 2167.15, "end": 2167.51, "word": " على", "probability": 0.71826171875}, {"start": 2167.51, "end": 2168.05, "word": " ايه", "probability": 0.82568359375}, {"start": 2168.05, "end": 2168.47, "word": " يبقى", "probability": 0.7774658203125}, {"start": 2168.47, "end": 2169.39, "word": " تلاتة", "probability": 0.9840087890625}, {"start": 2169.39, "end": 2169.67, "word": " على", "probability": 0.9111328125}, {"start": 2169.67, "end": 2170.25, "word": " ايه", "probability": 0.9630533854166666}, {"start": 2170.25, "end": 2171.05, "word": " اكبر", "probability": 0.811767578125}, {"start": 2171.05, "end": 2171.19, "word": " من", "probability": 0.9853515625}, {"start": 2171.19, "end": 2171.51, "word": " واحدة", "probability": 0.8531901041666666}, {"start": 2171.51, "end": 2171.81, "word": " صحية", "probability": 0.683837890625}, {"start": 2171.81, "end": 2172.21, "word": " والله", "probability": 0.608642578125}, {"start": 2172.21, "end": 2173.09, "word": " اقل", "probability": 0.9680989583333334}], "temperature": 1.0}, {"id": 92, "seek": 220121, "start": 2174.66, "end": 2201.22, "text": "أكبر لإن ال E ب 2 و 7 من 10 يبقى هذا greater than one الآن استخدمنا من ال ratio فبجي بقوله by the ratio test the series اللي هي summation لل N factorial تلاتة على N to the power N مالها by V", "tokens": [10721, 4117, 26890, 5296, 28814, 1863, 2423, 462, 4724, 568, 4032, 1614, 9154, 1266, 7251, 3555, 4587, 7578, 23758, 5044, 813, 472, 6024, 48506, 44713, 9778, 40448, 8315, 9154, 2423, 8509, 6156, 3555, 7435, 1829, 4724, 39648, 3224, 538, 264, 8509, 1500, 264, 2638, 13672, 1829, 39896, 28811, 24976, 426, 36916, 6055, 1211, 9307, 3660, 15844, 426, 281, 264, 1347, 426, 3714, 6027, 11296, 538, 691], "avg_logprob": -0.3283582187410611, "compression_ratio": 1.3264248704663213, "no_speech_prob": 0.0, "words": [{"start": 2174.66, "end": 2175.16, "word": "أكبر", "probability": 0.6743977864583334}, {"start": 2175.16, "end": 2175.42, "word": " لإن", "probability": 0.658447265625}, {"start": 2175.42, "end": 2175.58, "word": " ال", "probability": 0.73779296875}, {"start": 2175.58, "end": 2175.68, "word": " E", "probability": 0.4873046875}, {"start": 2175.68, "end": 2175.8, "word": " ب", "probability": 0.67724609375}, {"start": 2175.8, "end": 2176.3, "word": " 2", "probability": 0.2470703125}, {"start": 2176.3, "end": 2176.74, "word": " و", "probability": 0.712890625}, {"start": 2176.74, "end": 2177.06, "word": " 7", "probability": 0.6484375}, {"start": 2177.06, "end": 2177.3, "word": " من", "probability": 0.9296875}, {"start": 2177.3, "end": 2177.74, "word": " 10", "probability": 0.78173828125}, {"start": 2177.74, "end": 2178.54, "word": " يبقى", "probability": 0.9544677734375}, {"start": 2178.54, "end": 2178.82, "word": " هذا", "probability": 0.9365234375}, {"start": 2178.82, "end": 2179.32, "word": " greater", "probability": 0.80419921875}, {"start": 2179.32, "end": 2180.12, "word": " than", "probability": 0.9482421875}, {"start": 2180.12, "end": 2180.58, "word": " one", "probability": 0.59423828125}, {"start": 2180.58, "end": 2181.46, "word": " الآن", "probability": 0.55059814453125}, {"start": 2181.46, "end": 2182.14, "word": " استخدمنا", "probability": 0.9002685546875}, {"start": 2182.14, "end": 2182.34, "word": " من", "probability": 0.94189453125}, {"start": 2182.34, "end": 2182.58, "word": " ال", "probability": 0.9365234375}, {"start": 2182.58, "end": 2183.08, "word": " ratio", "probability": 0.9814453125}, {"start": 2183.08, "end": 2183.68, "word": " فبجي", "probability": 0.74591064453125}, {"start": 2183.68, "end": 2184.6, "word": " بقوله", "probability": 0.8873697916666666}, {"start": 2184.6, "end": 2185.06, "word": " by", "probability": 0.537109375}, {"start": 2185.06, "end": 2186.14, "word": " the", "probability": 0.8818359375}, {"start": 2186.14, "end": 2187.82, "word": " ratio", "probability": 0.96533203125}, {"start": 2187.82, "end": 2189.1, "word": " test", "probability": 0.91064453125}, {"start": 2189.1, "end": 2189.8, "word": " the", "probability": 0.716796875}, {"start": 2189.8, "end": 2190.46, "word": " series", "probability": 0.9091796875}, {"start": 2190.46, "end": 2192.78, "word": " اللي", "probability": 0.6475830078125}, {"start": 2192.78, "end": 2193.02, "word": " هي", "probability": 0.88037109375}, {"start": 2193.02, "end": 2193.92, "word": " summation", "probability": 0.6904296875}, {"start": 2193.92, "end": 2195.0, "word": " لل", "probability": 0.87744140625}, {"start": 2195.0, "end": 2195.4, "word": " N", "probability": 0.6748046875}, {"start": 2195.4, "end": 2196.42, "word": " factorial", "probability": 0.76220703125}, {"start": 2196.42, "end": 2197.48, "word": " تلاتة", "probability": 0.807373046875}, {"start": 2197.48, "end": 2197.72, "word": " على", "probability": 0.78662109375}, {"start": 2197.72, "end": 2198.12, "word": " N", "probability": 0.77978515625}, {"start": 2198.12, "end": 2198.26, "word": " to", "probability": 0.93896484375}, {"start": 2198.26, "end": 2198.52, "word": " the", "probability": 0.9345703125}, {"start": 2198.52, "end": 2199.02, "word": " power", "probability": 0.8798828125}, {"start": 2199.02, "end": 2199.5, "word": " N", "probability": 0.9306640625}, {"start": 2199.5, "end": 2200.14, "word": " مالها", "probability": 0.8299153645833334}, {"start": 2200.14, "end": 2201.06, "word": " by", "probability": 0.72607421875}, {"start": 2201.06, "end": 2201.22, "word": " V", "probability": 0.335205078125}], "temperature": 1.0}, {"id": 93, "seek": 222727, "start": 2203.27, "end": 2227.27, "text": "نقدر نخلها converge هذه بتغيير بسيط هكذا؟ نقدر؟ اه يعني بدل مكانها ال diverge بدي اخليها converge بتغيير بسيط في رأس المسألة ولا اتنين و باب ده، بدي اشيل التلاتة و احط مكانها اتنين بس", "tokens": [1863, 28543, 2288, 8717, 9778, 1211, 11296, 41881, 29538, 39894, 17082, 1829, 13546, 4724, 3794, 1829, 9566, 8032, 4117, 15730, 22807, 8717, 28543, 2288, 22807, 1975, 3224, 37495, 22653, 47525, 1211, 3714, 41361, 11296, 2423, 18558, 432, 4724, 16254, 1975, 9778, 20292, 11296, 41881, 39894, 17082, 1829, 13546, 4724, 3794, 1829, 9566, 8978, 12602, 10721, 3794, 9673, 3794, 10721, 37977, 49429, 1975, 2655, 1863, 9957, 4032, 4724, 16758, 11778, 3224, 12399, 4724, 16254, 1975, 8592, 26895, 16712, 1211, 9307, 3660, 4032, 1975, 5016, 9566, 3714, 41361, 11296, 1975, 2655, 1863, 9957, 4724, 3794], "avg_logprob": -0.2888962664502732, "compression_ratio": 1.7758620689655173, "no_speech_prob": 0.0, "words": [{"start": 2203.27, "end": 2203.83, "word": "نقدر", "probability": 0.4926350911458333}, {"start": 2203.83, "end": 2204.41, "word": " نخلها", "probability": 0.579864501953125}, {"start": 2204.41, "end": 2205.13, "word": " converge", "probability": 0.6875}, {"start": 2205.13, "end": 2205.63, "word": " هذه", "probability": 0.49267578125}, {"start": 2205.63, "end": 2207.07, "word": " بتغيير", "probability": 0.884765625}, {"start": 2207.07, "end": 2207.81, "word": " بسيط", "probability": 0.9365234375}, {"start": 2207.81, "end": 2209.41, "word": " هكذا؟", "probability": 0.60943603515625}, {"start": 2209.41, "end": 2211.91, "word": " نقدر؟", "probability": 0.879150390625}, {"start": 2211.91, "end": 2212.65, "word": " اه", "probability": 0.6986083984375}, {"start": 2212.65, "end": 2214.49, "word": " يعني", "probability": 0.782470703125}, {"start": 2214.49, "end": 2214.87, "word": " بدل", "probability": 0.96337890625}, {"start": 2214.87, "end": 2215.45, "word": " مكانها", "probability": 0.6507975260416666}, {"start": 2215.45, "end": 2215.51, "word": " ال", "probability": 0.70556640625}, {"start": 2215.51, "end": 2216.11, "word": " diverge", "probability": 0.309478759765625}, {"start": 2216.11, "end": 2216.43, "word": " بدي", "probability": 0.6600341796875}, {"start": 2216.43, "end": 2217.15, "word": " اخليها", "probability": 0.76806640625}, {"start": 2217.15, "end": 2217.83, "word": " converge", "probability": 0.90185546875}, {"start": 2217.83, "end": 2218.55, "word": " بتغيير", "probability": 0.9554443359375}, {"start": 2218.55, "end": 2219.05, "word": " بسيط", "probability": 0.9979248046875}, {"start": 2219.05, "end": 2219.25, "word": " في", "probability": 0.92724609375}, {"start": 2219.25, "end": 2219.51, "word": " رأس", "probability": 0.93798828125}, {"start": 2219.51, "end": 2220.23, "word": " المسألة", "probability": 0.86376953125}, {"start": 2220.23, "end": 2223.33, "word": " ولا", "probability": 0.60791015625}, {"start": 2223.33, "end": 2223.63, "word": " اتنين", "probability": 0.9031982421875}, {"start": 2223.63, "end": 2223.77, "word": " و", "probability": 0.5029296875}, {"start": 2223.77, "end": 2224.01, "word": " باب", "probability": 0.791015625}, {"start": 2224.01, "end": 2224.45, "word": " ده،", "probability": 0.5389811197916666}, {"start": 2224.45, "end": 2224.67, "word": " بدي", "probability": 0.926025390625}, {"start": 2224.67, "end": 2225.03, "word": " اشيل", "probability": 0.91259765625}, {"start": 2225.03, "end": 2225.61, "word": " التلاتة", "probability": 0.936767578125}, {"start": 2225.61, "end": 2225.77, "word": " و", "probability": 0.90478515625}, {"start": 2225.77, "end": 2226.03, "word": " احط", "probability": 0.8009440104166666}, {"start": 2226.03, "end": 2226.57, "word": " مكانها", "probability": 0.912109375}, {"start": 2226.57, "end": 2226.91, "word": " اتنين", "probability": 0.9820556640625}, {"start": 2226.91, "end": 2227.27, "word": " بس", "probability": 0.972900390625}], "temperature": 1.0}, {"id": 94, "seek": 225137, "start": 2228.17, "end": 2251.37, "text": "حط اتنين، حط واحد، حط واحد و نص، بصير convert بدل ما صحيح الرب يفهم، ليش؟ لأن الأخير طالع عندي هنا ثلاثة على إيه، بيش ما تحط هناك، بيكون رقم عليه اتنين على إيه، كسر أقل من الواحد الصحيح، بيصير series ما لا، convert و ايه كده هذا السؤال التالت، السؤال الراجع", "tokens": [5016, 9566, 1975, 2655, 1863, 9957, 12399, 11331, 9566, 36764, 24401, 12399, 11331, 9566, 36764, 24401, 4032, 8717, 9381, 12399, 4724, 9381, 13546, 7620, 47525, 1211, 19446, 20328, 5016, 1829, 5016, 2423, 25513, 7251, 5172, 16095, 12399, 32239, 8592, 22807, 5296, 33456, 16247, 9778, 13546, 23032, 6027, 3615, 18871, 16254, 34105, 38637, 1211, 5718, 104, 3660, 15844, 11933, 1829, 3224, 12399, 4724, 1829, 8592, 19446, 6055, 5016, 9566, 34105, 4117, 12399, 4724, 1829, 30544, 12602, 4587, 2304, 47356, 1975, 2655, 1863, 9957, 15844, 11933, 1829, 3224, 12399, 9122, 3794, 2288, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 12399, 4724, 1829, 9381, 13546, 2638, 19446, 20193, 12399, 7620, 4032, 1975, 1829, 3224, 9122, 3215, 3224, 23758, 21136, 33604, 6027, 16712, 6027, 2655, 12399, 21136, 33604, 6027, 34892, 26108, 3615], "avg_logprob": -0.30756579933309913, "compression_ratio": 1.893162393162393, "no_speech_prob": 0.0, "words": [{"start": 2228.17, "end": 2228.69, "word": "حط", "probability": 0.56988525390625}, {"start": 2228.69, "end": 2229.61, "word": " اتنين،", "probability": 0.748876953125}, {"start": 2229.61, "end": 2229.95, "word": " حط", "probability": 0.93408203125}, {"start": 2229.95, "end": 2230.63, "word": " واحد،", "probability": 0.9228515625}, {"start": 2230.63, "end": 2230.89, "word": " حط", "probability": 0.83447265625}, {"start": 2230.89, "end": 2231.27, "word": " واحد", "probability": 0.970947265625}, {"start": 2231.27, "end": 2231.45, "word": " و", "probability": 0.99169921875}, {"start": 2231.45, "end": 2231.73, "word": " نص،", "probability": 0.80224609375}, {"start": 2231.73, "end": 2232.13, "word": " بصير", "probability": 0.9270833333333334}, {"start": 2232.13, "end": 2232.73, "word": " convert", "probability": 0.56494140625}, {"start": 2232.73, "end": 2233.47, "word": " بدل", "probability": 0.787109375}, {"start": 2233.47, "end": 2233.61, "word": " ما", "probability": 0.85546875}, {"start": 2233.61, "end": 2233.89, "word": " صحيح", "probability": 0.481781005859375}, {"start": 2233.89, "end": 2234.01, "word": " الرب", "probability": 0.472412109375}, {"start": 2234.01, "end": 2234.39, "word": " يفهم،", "probability": 0.5291748046875}, {"start": 2234.39, "end": 2235.23, "word": " ليش؟", "probability": 0.9186197916666666}, {"start": 2235.23, "end": 2235.47, "word": " لأن", "probability": 0.760009765625}, {"start": 2235.47, "end": 2235.99, "word": " الأخير", "probability": 0.735595703125}, {"start": 2235.99, "end": 2236.35, "word": " طالع", "probability": 0.9122721354166666}, {"start": 2236.35, "end": 2236.73, "word": " عندي", "probability": 0.735107421875}, {"start": 2236.73, "end": 2236.99, "word": " هنا", "probability": 0.85986328125}, {"start": 2236.99, "end": 2237.71, "word": " ثلاثة", "probability": 0.877978515625}, {"start": 2237.71, "end": 2237.97, "word": " على", "probability": 0.76171875}, {"start": 2237.97, "end": 2238.39, "word": " إيه،", "probability": 0.78790283203125}, {"start": 2238.39, "end": 2238.77, "word": " بيش", "probability": 0.6333821614583334}, {"start": 2238.77, "end": 2238.91, "word": " ما", "probability": 0.60302734375}, {"start": 2238.91, "end": 2239.43, "word": " تحط", "probability": 0.98876953125}, {"start": 2239.43, "end": 2240.17, "word": " هناك،", "probability": 0.84228515625}, {"start": 2240.17, "end": 2240.51, "word": " بيكون", "probability": 0.6385091145833334}, {"start": 2240.51, "end": 2241.05, "word": " رقم", "probability": 0.9763997395833334}, {"start": 2241.05, "end": 2241.41, "word": " عليه", "probability": 0.95703125}, {"start": 2241.41, "end": 2241.95, "word": " اتنين", "probability": 0.9287109375}, {"start": 2241.95, "end": 2242.27, "word": " على", "probability": 0.80078125}, {"start": 2242.27, "end": 2242.63, "word": " إيه،", "probability": 0.83721923828125}, {"start": 2242.63, "end": 2242.97, "word": " كسر", "probability": 0.7317301432291666}, {"start": 2242.97, "end": 2243.33, "word": " أقل", "probability": 0.8118489583333334}, {"start": 2243.33, "end": 2243.49, "word": " من", "probability": 0.99462890625}, {"start": 2243.49, "end": 2243.85, "word": " الواحد", "probability": 0.98095703125}, {"start": 2243.85, "end": 2244.41, "word": " الصحيح،", "probability": 0.7744140625}, {"start": 2244.41, "end": 2244.77, "word": " بيصير", "probability": 0.75445556640625}, {"start": 2244.77, "end": 2245.17, "word": " series", "probability": 0.20849609375}, {"start": 2245.17, "end": 2245.45, "word": " ما", "probability": 0.42431640625}, {"start": 2245.45, "end": 2246.17, "word": " لا،", "probability": 0.627197265625}, {"start": 2246.17, "end": 2246.77, "word": " convert", "probability": 0.6953125}, {"start": 2246.77, "end": 2247.39, "word": " و", "probability": 0.6533203125}, {"start": 2247.39, "end": 2247.65, "word": " ايه", "probability": 0.5107014973958334}, {"start": 2247.65, "end": 2247.97, "word": " كده", "probability": 0.9036458333333334}, {"start": 2247.97, "end": 2248.73, "word": " هذا", "probability": 0.3544921875}, {"start": 2248.73, "end": 2249.21, "word": " السؤال", "probability": 0.9742838541666666}, {"start": 2249.21, "end": 2249.91, "word": " التالت،", "probability": 0.8402099609375}, {"start": 2249.91, "end": 2250.71, "word": " السؤال", "probability": 0.9944661458333334}, {"start": 2250.71, "end": 2251.37, "word": " الراجع", "probability": 0.8740234375}], "temperature": 1.0}, {"id": 95, "seek": 226392, "start": 2252.68, "end": 2263.92, "text": "السؤال الرابع بيقول ال summation من n equal one to infinity لل n factorial على n to the power n", "tokens": [6027, 3794, 33604, 6027, 34892, 16758, 3615, 4724, 1829, 39648, 2423, 28811, 9154, 297, 2681, 472, 281, 13202, 24976, 297, 36916, 15844, 297, 281, 264, 1347, 297], "avg_logprob": -0.28989953973463606, "compression_ratio": 1.1, "no_speech_prob": 0.0, "words": [{"start": 2252.68, "end": 2253.08, "word": "السؤال", "probability": 0.77880859375}, {"start": 2253.08, "end": 2253.44, "word": " الرابع", "probability": 0.9591471354166666}, {"start": 2253.44, "end": 2253.8, "word": " بيقول", "probability": 0.7596842447916666}, {"start": 2253.8, "end": 2254.06, "word": " ال", "probability": 0.44140625}, {"start": 2254.06, "end": 2255.08, "word": " summation", "probability": 0.480224609375}, {"start": 2255.08, "end": 2255.98, "word": " من", "probability": 0.939453125}, {"start": 2255.98, "end": 2256.32, "word": " n", "probability": 0.55615234375}, {"start": 2256.32, "end": 2256.84, "word": " equal", "probability": 0.11846923828125}, {"start": 2256.84, "end": 2257.26, "word": " one", "probability": 0.7275390625}, {"start": 2257.26, "end": 2257.54, "word": " to", "probability": 0.92431640625}, {"start": 2257.54, "end": 2258.26, "word": " infinity", "probability": 0.873046875}, {"start": 2258.26, "end": 2259.14, "word": " لل", "probability": 0.751953125}, {"start": 2259.14, "end": 2259.64, "word": " n", "probability": 0.5048828125}, {"start": 2259.64, "end": 2260.72, "word": " factorial", "probability": 0.66455078125}, {"start": 2260.72, "end": 2261.6, "word": " على", "probability": 0.6611328125}, {"start": 2261.6, "end": 2262.2, "word": " n", "probability": 0.8681640625}, {"start": 2262.2, "end": 2262.42, "word": " to", "probability": 0.95947265625}, {"start": 2262.42, "end": 2262.68, "word": " the", "probability": 0.9189453125}, {"start": 2262.68, "end": 2263.36, "word": " power", "probability": 0.90234375}, {"start": 2263.36, "end": 2263.92, "word": " n", "probability": 0.8203125}], "temperature": 1.0}, {"id": 96, "seek": 228939, "start": 2265.65, "end": 2289.39, "text": "طبعا هذه السؤال شوفناها قبل هيك بس ماحللاش ب ratio بدنا نحل بال ratio اليوم يبقى بدروح اخد limit لما ال N tends to infinity لل N plus one factorial مقسوما على N plus one مرفوع لل N plus one تقسيم N factorial", "tokens": [9566, 3555, 3615, 995, 29538, 21136, 33604, 6027, 13412, 38688, 8315, 11296, 12174, 36150, 39896, 4117, 4724, 3794, 19446, 5016, 1211, 1211, 33599, 4724, 8509, 47525, 8315, 8717, 5016, 1211, 20666, 8509, 45595, 20498, 7251, 3555, 4587, 7578, 47525, 32887, 5016, 1975, 9778, 3215, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 24976, 426, 1804, 472, 36916, 3714, 4587, 3794, 2407, 15042, 15844, 426, 1804, 472, 3714, 28480, 45367, 24976, 426, 1804, 472, 6055, 4587, 3794, 32640, 426, 36916], "avg_logprob": -0.2458984311670065, "compression_ratio": 1.5204081632653061, "no_speech_prob": 0.0, "words": [{"start": 2265.65, "end": 2266.07, "word": "طبعا", "probability": 0.80645751953125}, {"start": 2266.07, "end": 2266.25, "word": " هذه", "probability": 0.8134765625}, {"start": 2266.25, "end": 2266.55, "word": " السؤال", "probability": 0.9547526041666666}, {"start": 2266.55, "end": 2267.15, "word": " شوفناها", "probability": 0.75128173828125}, {"start": 2267.15, "end": 2267.33, "word": " قبل", "probability": 0.9599609375}, {"start": 2267.33, "end": 2267.75, "word": " هيك", "probability": 0.44921875}, {"start": 2267.75, "end": 2268.07, "word": " بس", "probability": 0.551544189453125}, {"start": 2268.07, "end": 2268.61, "word": " ماحللاش", "probability": 0.73427734375}, {"start": 2268.61, "end": 2268.79, "word": " ب", "probability": 0.4853515625}, {"start": 2268.79, "end": 2269.31, "word": " ratio", "probability": 0.86767578125}, {"start": 2269.31, "end": 2270.15, "word": " بدنا", "probability": 0.749755859375}, {"start": 2270.15, "end": 2270.63, "word": " نحل", "probability": 0.9890950520833334}, {"start": 2270.63, "end": 2270.83, "word": " بال", "probability": 0.59912109375}, {"start": 2270.83, "end": 2271.37, "word": " ratio", "probability": 0.99072265625}, {"start": 2271.37, "end": 2271.87, "word": " اليوم", "probability": 0.95849609375}, {"start": 2271.87, "end": 2272.89, "word": " يبقى", "probability": 0.7911376953125}, {"start": 2272.89, "end": 2273.41, "word": " بدروح", "probability": 0.713623046875}, {"start": 2273.41, "end": 2273.93, "word": " اخد", "probability": 0.7674153645833334}, {"start": 2273.93, "end": 2274.51, "word": " limit", "probability": 0.9775390625}, {"start": 2274.51, "end": 2275.89, "word": " لما", "probability": 0.9169921875}, {"start": 2275.89, "end": 2276.13, "word": " ال", "probability": 0.9619140625}, {"start": 2276.13, "end": 2276.37, "word": " N", "probability": 0.62744140625}, {"start": 2276.37, "end": 2276.81, "word": " tends", "probability": 0.63427734375}, {"start": 2276.81, "end": 2277.07, "word": " to", "probability": 0.94140625}, {"start": 2277.07, "end": 2277.81, "word": " infinity", "probability": 0.85986328125}, {"start": 2277.81, "end": 2278.19, "word": " لل", "probability": 0.611328125}, {"start": 2278.19, "end": 2278.61, "word": " N", "probability": 0.93701171875}, {"start": 2278.61, "end": 2279.21, "word": " plus", "probability": 0.7236328125}, {"start": 2279.21, "end": 2279.67, "word": " one", "probability": 0.78125}, {"start": 2279.67, "end": 2280.77, "word": " factorial", "probability": 0.69091796875}, {"start": 2280.77, "end": 2282.13, "word": " مقسوما", "probability": 0.81357421875}, {"start": 2282.13, "end": 2282.47, "word": " على", "probability": 0.85595703125}, {"start": 2282.47, "end": 2282.89, "word": " N", "probability": 0.95068359375}, {"start": 2282.89, "end": 2283.47, "word": " plus", "probability": 0.96142578125}, {"start": 2283.47, "end": 2284.01, "word": " one", "probability": 0.947265625}, {"start": 2284.01, "end": 2285.09, "word": " مرفوع", "probability": 0.8486328125}, {"start": 2285.09, "end": 2285.35, "word": " لل", "probability": 0.84814453125}, {"start": 2285.35, "end": 2285.75, "word": " N", "probability": 0.9833984375}, {"start": 2285.75, "end": 2286.27, "word": " plus", "probability": 0.966796875}, {"start": 2286.27, "end": 2286.79, "word": " one", "probability": 0.95751953125}, {"start": 2286.79, "end": 2288.05, "word": " تقسيم", "probability": 0.96923828125}, {"start": 2288.05, "end": 2288.49, "word": " N", "probability": 0.953125}, {"start": 2288.49, "end": 2289.39, "word": " factorial", "probability": 0.845703125}], "temperature": 1.0}, {"id": 97, "seek": 231832, "start": 2289.7, "end": 2318.32, "text": "على N to the power N يسوي ال limit لما ال N tends to infinity لما ال N بدها تروح لل infinity بدها تفك هذا يبقى N زائد واحد في N factorial على N زائد واحد في N زائد واحد to the power N في N to the power N على N factorial", "tokens": [3615, 23942, 426, 281, 264, 1347, 426, 7251, 3794, 45865, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 15042, 2423, 426, 47525, 11296, 6055, 32887, 5016, 24976, 13202, 47525, 11296, 6055, 5172, 4117, 23758, 7251, 3555, 4587, 7578, 426, 30767, 16373, 3215, 36764, 24401, 8978, 426, 36916, 15844, 426, 30767, 16373, 3215, 36764, 24401, 8978, 426, 30767, 16373, 3215, 36764, 24401, 281, 264, 1347, 426, 8978, 426, 281, 264, 1347, 426, 15844, 426, 36916], "avg_logprob": -0.20231330472153503, "compression_ratio": 1.8742138364779874, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2289.7, "end": 2290.42, "word": "على", "probability": 0.539306640625}, {"start": 2290.42, "end": 2290.74, "word": " N", "probability": 0.388427734375}, {"start": 2290.74, "end": 2291.02, "word": " to", "probability": 0.5703125}, {"start": 2291.02, "end": 2291.32, "word": " the", "probability": 0.90771484375}, {"start": 2291.32, "end": 2291.72, "word": " power", "probability": 0.88330078125}, {"start": 2291.72, "end": 2292.16, "word": " N", "probability": 0.8515625}, {"start": 2292.16, "end": 2293.12, "word": " يسوي", "probability": 0.7450358072916666}, {"start": 2293.12, "end": 2293.36, "word": " ال", "probability": 0.61962890625}, {"start": 2293.36, "end": 2293.78, "word": " limit", "probability": 0.57177734375}, {"start": 2293.78, "end": 2294.26, "word": " لما", "probability": 0.897216796875}, {"start": 2294.26, "end": 2294.48, "word": " ال", "probability": 0.89111328125}, {"start": 2294.48, "end": 2294.76, "word": " N", "probability": 0.8896484375}, {"start": 2294.76, "end": 2295.3, "word": " tends", "probability": 0.7666015625}, {"start": 2295.3, "end": 2295.6, "word": " to", "probability": 0.9423828125}, {"start": 2295.6, "end": 2296.64, "word": " infinity", "probability": 0.8173828125}, {"start": 2296.64, "end": 2297.88, "word": " لما", "probability": 0.88037109375}, {"start": 2297.88, "end": 2298.06, "word": " ال", "probability": 0.9189453125}, {"start": 2298.06, "end": 2298.26, "word": " N", "probability": 0.9873046875}, {"start": 2298.26, "end": 2298.6, "word": " بدها", "probability": 0.51416015625}, {"start": 2298.6, "end": 2299.06, "word": " تروح", "probability": 0.9700520833333334}, {"start": 2299.06, "end": 2299.28, "word": " لل", "probability": 0.62255859375}, {"start": 2299.28, "end": 2299.66, "word": " infinity", "probability": 0.330322265625}, {"start": 2299.66, "end": 2300.18, "word": " بدها", "probability": 0.710693359375}, {"start": 2300.18, "end": 2300.44, "word": " تفك", "probability": 0.8673502604166666}, {"start": 2300.44, "end": 2300.92, "word": " هذا", "probability": 0.73193359375}, {"start": 2300.92, "end": 2302.1, "word": " يبقى", "probability": 0.8101806640625}, {"start": 2302.1, "end": 2302.5, "word": " N", "probability": 0.921875}, {"start": 2302.5, "end": 2303.54, "word": " زائد", "probability": 0.7566731770833334}, {"start": 2303.54, "end": 2304.14, "word": " واحد", "probability": 0.85888671875}, {"start": 2304.14, "end": 2304.7, "word": " في", "probability": 0.77197265625}, {"start": 2304.7, "end": 2305.12, "word": " N", "probability": 0.96142578125}, {"start": 2305.12, "end": 2306.16, "word": " factorial", "probability": 0.76318359375}, {"start": 2306.16, "end": 2307.16, "word": " على", "probability": 0.81884765625}, {"start": 2307.16, "end": 2307.74, "word": " N", "probability": 0.97802734375}, {"start": 2307.74, "end": 2308.88, "word": " زائد", "probability": 0.9716796875}, {"start": 2308.88, "end": 2309.56, "word": " واحد", "probability": 0.9892578125}, {"start": 2309.56, "end": 2310.06, "word": " في", "probability": 0.97119140625}, {"start": 2310.06, "end": 2310.56, "word": " N", "probability": 0.990234375}, {"start": 2310.56, "end": 2311.5, "word": " زائد", "probability": 0.966796875}, {"start": 2311.5, "end": 2311.98, "word": " واحد", "probability": 0.98974609375}, {"start": 2311.98, "end": 2312.22, "word": " to", "probability": 0.90771484375}, {"start": 2312.22, "end": 2312.44, "word": " the", "probability": 0.9267578125}, {"start": 2312.44, "end": 2312.96, "word": " power", "probability": 0.86767578125}, {"start": 2312.96, "end": 2313.48, "word": " N", "probability": 0.97216796875}, {"start": 2313.48, "end": 2314.14, "word": " في", "probability": 0.66015625}, {"start": 2314.14, "end": 2314.6, "word": " N", "probability": 0.984375}, {"start": 2314.6, "end": 2314.74, "word": " to", "probability": 0.97900390625}, {"start": 2314.74, "end": 2315.04, "word": " the", "probability": 0.92724609375}, {"start": 2315.04, "end": 2315.48, "word": " power", "probability": 0.859375}, {"start": 2315.48, "end": 2316.12, "word": " N", "probability": 0.9833984375}, {"start": 2316.12, "end": 2316.84, "word": " على", "probability": 0.86962890625}, {"start": 2316.84, "end": 2317.44, "word": " N", "probability": 0.9912109375}, {"start": 2317.44, "end": 2318.32, "word": " factorial", "probability": 0.888671875}], "temperature": 1.0}, {"id": 98, "seek": 234503, "start": 2319.01, "end": 2345.03, "text": "نختصر تروح هاي مع هاي والجوس هذا مع الجوس هذا يبقى آلة المسألة إلى ال limit لما ال N tends to infinity انقص N و هنا N زائد واحد أس N يبقى N على N زائد واحد كله to the power N", "tokens": [1863, 46456, 9381, 2288, 6055, 32887, 5016, 8032, 47302, 20449, 8032, 47302, 16070, 7435, 41779, 23758, 20449, 25724, 41779, 23758, 7251, 3555, 4587, 7578, 19753, 37977, 9673, 3794, 10721, 37977, 30731, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 16472, 4587, 9381, 426, 4032, 34105, 426, 30767, 16373, 3215, 36764, 24401, 5551, 3794, 426, 7251, 3555, 4587, 7578, 426, 15844, 426, 30767, 16373, 3215, 36764, 24401, 28242, 3224, 281, 264, 1347, 426], "avg_logprob": -0.2882178937261169, "compression_ratio": 1.6071428571428572, "no_speech_prob": 0.0, "words": [{"start": 2319.01, "end": 2319.97, "word": "نختصر", "probability": 0.82476806640625}, {"start": 2319.97, "end": 2320.59, "word": " تروح", "probability": 0.6015625}, {"start": 2320.59, "end": 2320.87, "word": " هاي", "probability": 0.41015625}, {"start": 2320.87, "end": 2321.11, "word": " مع", "probability": 0.984375}, {"start": 2321.11, "end": 2321.61, "word": " هاي", "probability": 0.860107421875}, {"start": 2321.61, "end": 2322.73, "word": " والجوس", "probability": 0.5613606770833334}, {"start": 2322.73, "end": 2323.29, "word": " هذا", "probability": 0.8447265625}, {"start": 2323.29, "end": 2323.83, "word": " مع", "probability": 0.95751953125}, {"start": 2323.83, "end": 2324.39, "word": " الجوس", "probability": 0.9599609375}, {"start": 2324.39, "end": 2324.85, "word": " هذا", "probability": 0.94677734375}, {"start": 2324.85, "end": 2325.61, "word": " يبقى", "probability": 0.843505859375}, {"start": 2325.61, "end": 2326.13, "word": " آلة", "probability": 0.6822509765625}, {"start": 2326.13, "end": 2327.17, "word": " المسألة", "probability": 0.98046875}, {"start": 2327.17, "end": 2327.65, "word": " إلى", "probability": 0.60986328125}, {"start": 2327.65, "end": 2327.87, "word": " ال", "probability": 0.64794921875}, {"start": 2327.87, "end": 2328.35, "word": " limit", "probability": 0.8154296875}, {"start": 2328.35, "end": 2329.41, "word": " لما", "probability": 0.869140625}, {"start": 2329.41, "end": 2329.65, "word": " ال", "probability": 0.95849609375}, {"start": 2329.65, "end": 2329.97, "word": " N", "probability": 0.408935546875}, {"start": 2329.97, "end": 2330.37, "word": " tends", "probability": 0.564453125}, {"start": 2330.37, "end": 2330.63, "word": " to", "probability": 0.92822265625}, {"start": 2330.63, "end": 2331.31, "word": " infinity", "probability": 0.80712890625}, {"start": 2331.31, "end": 2335.55, "word": " انقص", "probability": 0.57080078125}, {"start": 2335.55, "end": 2335.91, "word": " N", "probability": 0.86279296875}, {"start": 2335.91, "end": 2336.35, "word": " و", "probability": 0.58642578125}, {"start": 2336.35, "end": 2336.63, "word": " هنا", "probability": 0.369873046875}, {"start": 2336.63, "end": 2336.99, "word": " N", "probability": 0.8291015625}, {"start": 2336.99, "end": 2337.49, "word": " زائد", "probability": 0.7056477864583334}, {"start": 2337.49, "end": 2338.11, "word": " واحد", "probability": 0.892822265625}, {"start": 2338.11, "end": 2338.55, "word": " أس", "probability": 0.5816650390625}, {"start": 2338.55, "end": 2338.93, "word": " N", "probability": 0.64208984375}, {"start": 2338.93, "end": 2340.13, "word": " يبقى", "probability": 0.9815673828125}, {"start": 2340.13, "end": 2340.55, "word": " N", "probability": 0.90869140625}, {"start": 2340.55, "end": 2341.31, "word": " على", "probability": 0.7919921875}, {"start": 2341.31, "end": 2341.81, "word": " N", "probability": 0.97265625}, {"start": 2341.81, "end": 2342.39, "word": " زائد", "probability": 0.9542643229166666}, {"start": 2342.39, "end": 2342.85, "word": " واحد", "probability": 0.985595703125}, {"start": 2342.85, "end": 2343.43, "word": " كله", "probability": 0.95947265625}, {"start": 2343.43, "end": 2343.65, "word": " to", "probability": 0.83447265625}, {"start": 2343.65, "end": 2343.91, "word": " the", "probability": 0.91455078125}, {"start": 2343.91, "end": 2344.49, "word": " power", "probability": 0.90234375}, {"start": 2344.49, "end": 2345.03, "word": " N", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 99, "seek": 237052, "start": 2347.34, "end": 2370.52, "text": "مظبوط؟ يبقى النتيجة from above يسوى كده؟ واحد على ايه؟ هي في الخطوة اللي قبلها، السؤال اللي قبلها واحد على أي مالها؟ اقل من الواحد الصحيح استخدمنا ال ratio فبجي بقوله by the ratio test the series", "tokens": [2304, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 490, 3673, 7251, 3794, 2407, 7578, 9122, 3215, 3224, 22807, 36764, 24401, 15844, 1975, 1829, 3224, 22807, 39896, 8978, 33962, 9566, 2407, 3660, 13672, 1829, 12174, 36150, 11296, 12399, 21136, 33604, 6027, 13672, 1829, 12174, 36150, 11296, 36764, 24401, 15844, 36632, 3714, 6027, 11296, 22807, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 44713, 9778, 40448, 8315, 2423, 8509, 6156, 3555, 7435, 1829, 4724, 39648, 3224, 538, 264, 8509, 1500, 264, 2638], "avg_logprob": -0.23298610713746812, "compression_ratio": 1.634020618556701, "no_speech_prob": 0.0, "words": [{"start": 2347.34, "end": 2348.38, "word": "مظبوط؟", "probability": 0.64508056640625}, {"start": 2348.38, "end": 2348.96, "word": " يبقى", "probability": 0.92578125}, {"start": 2348.96, "end": 2349.56, "word": " النتيجة", "probability": 0.8568115234375}, {"start": 2349.56, "end": 2349.78, "word": " from", "probability": 0.591796875}, {"start": 2349.78, "end": 2350.44, "word": " above", "probability": 0.93603515625}, {"start": 2350.44, "end": 2350.92, "word": " يسوى", "probability": 0.701171875}, {"start": 2350.92, "end": 2351.96, "word": " كده؟", "probability": 0.637451171875}, {"start": 2351.96, "end": 2353.12, "word": " واحد", "probability": 0.849365234375}, {"start": 2353.12, "end": 2353.5, "word": " على", "probability": 0.53125}, {"start": 2353.5, "end": 2353.84, "word": " ايه؟", "probability": 0.810546875}, {"start": 2353.84, "end": 2354.06, "word": " هي", "probability": 0.27490234375}, {"start": 2354.06, "end": 2354.24, "word": " في", "probability": 0.5693359375}, {"start": 2354.24, "end": 2354.56, "word": " الخطوة", "probability": 0.919921875}, {"start": 2354.56, "end": 2354.7, "word": " اللي", "probability": 0.774658203125}, {"start": 2354.7, "end": 2355.14, "word": " قبلها،", "probability": 0.7877197265625}, {"start": 2355.14, "end": 2355.42, "word": " السؤال", "probability": 0.9052734375}, {"start": 2355.42, "end": 2355.56, "word": " اللي", "probability": 0.978271484375}, {"start": 2355.56, "end": 2355.9, "word": " قبلها", "probability": 0.8460286458333334}, {"start": 2355.9, "end": 2356.74, "word": " واحد", "probability": 0.881591796875}, {"start": 2356.74, "end": 2356.9, "word": " على", "probability": 0.80810546875}, {"start": 2356.9, "end": 2357.14, "word": " أي", "probability": 0.371337890625}, {"start": 2357.14, "end": 2358.52, "word": " مالها؟", "probability": 0.9329833984375}, {"start": 2358.52, "end": 2359.12, "word": " اقل", "probability": 0.9251302083333334}, {"start": 2359.12, "end": 2359.36, "word": " من", "probability": 0.99462890625}, {"start": 2359.36, "end": 2360.0, "word": " الواحد", "probability": 0.9775390625}, {"start": 2360.0, "end": 2360.66, "word": " الصحيح", "probability": 0.8946533203125}, {"start": 2360.66, "end": 2361.82, "word": " استخدمنا", "probability": 0.93603515625}, {"start": 2361.82, "end": 2361.96, "word": " ال", "probability": 0.8916015625}, {"start": 2361.96, "end": 2362.42, "word": " ratio", "probability": 0.98095703125}, {"start": 2362.42, "end": 2363.4, "word": " فبجي", "probability": 0.73785400390625}, {"start": 2363.4, "end": 2364.16, "word": " بقوله", "probability": 0.9034830729166666}, {"start": 2364.16, "end": 2364.76, "word": " by", "probability": 0.8037109375}, {"start": 2364.76, "end": 2365.78, "word": " the", "probability": 0.89599609375}, {"start": 2365.78, "end": 2367.4, "word": " ratio", "probability": 0.9609375}, {"start": 2367.4, "end": 2368.82, "word": " test", "probability": 0.91943359375}, {"start": 2368.82, "end": 2369.7, "word": " the", "probability": 0.61767578125}, {"start": 2369.7, "end": 2370.52, "word": " series", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 100, "seek": 239996, "start": 2383.21, "end": 2399.97, "text": "السؤال الخامس بيقول summation من n equal one to infinity لواحد ناقص واحد على n كله to the power n تربيع", "tokens": [6027, 3794, 33604, 6027, 33962, 10943, 3794, 4724, 1829, 39648, 28811, 9154, 297, 2681, 472, 281, 13202, 5296, 14407, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 297, 28242, 3224, 281, 264, 1347, 297, 6055, 2288, 21292, 3615], "avg_logprob": -0.3301281944299356, "compression_ratio": 1.1496062992125984, "no_speech_prob": 0.0, "words": [{"start": 2383.21, "end": 2384.41, "word": "السؤال", "probability": 0.65228271484375}, {"start": 2384.41, "end": 2385.25, "word": " الخامس", "probability": 0.970703125}, {"start": 2385.25, "end": 2387.57, "word": " بيقول", "probability": 0.70361328125}, {"start": 2387.57, "end": 2388.53, "word": " summation", "probability": 0.09417724609375}, {"start": 2388.53, "end": 2389.69, "word": " من", "probability": 0.77880859375}, {"start": 2389.69, "end": 2390.19, "word": " n", "probability": 0.443115234375}, {"start": 2390.19, "end": 2390.79, "word": " equal", "probability": 0.20556640625}, {"start": 2390.79, "end": 2391.29, "word": " one", "probability": 0.7802734375}, {"start": 2391.29, "end": 2391.67, "word": " to", "probability": 0.9365234375}, {"start": 2391.67, "end": 2392.73, "word": " infinity", "probability": 0.865234375}, {"start": 2392.73, "end": 2394.01, "word": " لواحد", "probability": 0.7638346354166666}, {"start": 2394.01, "end": 2394.69, "word": " ناقص", "probability": 0.9263916015625}, {"start": 2394.69, "end": 2395.25, "word": " واحد", "probability": 0.974365234375}, {"start": 2395.25, "end": 2395.69, "word": " على", "probability": 0.87841796875}, {"start": 2395.69, "end": 2396.25, "word": " n", "probability": 0.67626953125}, {"start": 2396.25, "end": 2397.43, "word": " كله", "probability": 0.962890625}, {"start": 2397.43, "end": 2397.73, "word": " to", "probability": 0.9306640625}, {"start": 2397.73, "end": 2398.03, "word": " the", "probability": 0.9228515625}, {"start": 2398.03, "end": 2398.63, "word": " power", "probability": 0.8916015625}, {"start": 2398.63, "end": 2399.17, "word": " n", "probability": 0.490966796875}, {"start": 2399.17, "end": 2399.97, "word": " تربيع", "probability": 0.81317138671875}], "temperature": 1.0}, {"id": 101, "seek": 243235, "start": 2403.35, "end": 2432.35, "text": "من امس بحاجة اختبار النسبة او اختبار الجذر النوني الجذر انه سهل اخد الجذر يبقى باجي بقوله ر تساوي limit لما ال N tends to infinity للجذر النوني لواحد ناقص واحد على N كله to the power N تربيع يبقى هذا بده يساوي limit لما ال N tends to infinity لواحد ناقص واحد على N", "tokens": [27842, 1975, 2304, 3794, 4724, 5016, 26108, 3660, 1975, 46456, 3555, 9640, 28239, 35457, 3660, 1975, 2407, 1975, 46456, 3555, 9640, 25724, 8848, 2288, 28239, 11536, 1829, 25724, 8848, 2288, 16472, 3224, 8608, 3224, 1211, 1975, 9778, 3215, 25724, 8848, 2288, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 12602, 6055, 3794, 995, 45865, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 24976, 7435, 8848, 2288, 28239, 11536, 1829, 5296, 14407, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 426, 28242, 3224, 281, 264, 1347, 426, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3794, 995, 45865, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 14407, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 426], "avg_logprob": -0.18800812765834776, "compression_ratio": 2.1269035532994924, "no_speech_prob": 0.0, "words": [{"start": 2403.35, "end": 2403.65, "word": "من", "probability": 0.1688232421875}, {"start": 2403.65, "end": 2404.01, "word": " امس", "probability": 0.4527180989583333}, {"start": 2404.01, "end": 2404.49, "word": " بحاجة", "probability": 0.796630859375}, {"start": 2404.49, "end": 2404.99, "word": " اختبار", "probability": 0.91796875}, {"start": 2404.99, "end": 2405.49, "word": " النسبة", "probability": 0.9376627604166666}, {"start": 2405.49, "end": 2405.63, "word": " او", "probability": 0.6739501953125}, {"start": 2405.63, "end": 2406.05, "word": " اختبار", "probability": 0.89306640625}, {"start": 2406.05, "end": 2406.53, "word": " الجذر", "probability": 0.9562174479166666}, {"start": 2406.53, "end": 2407.05, "word": " النوني", "probability": 0.8321940104166666}, {"start": 2407.05, "end": 2408.25, "word": " الجذر", "probability": 0.8372395833333334}, {"start": 2408.25, "end": 2408.55, "word": " انه", "probability": 0.57537841796875}, {"start": 2408.55, "end": 2408.89, "word": " سهل", "probability": 0.9806315104166666}, {"start": 2408.89, "end": 2409.23, "word": " اخد", "probability": 0.8688151041666666}, {"start": 2409.23, "end": 2409.91, "word": " الجذر", "probability": 0.9820963541666666}, {"start": 2409.91, "end": 2410.67, "word": " يبقى", "probability": 0.955810546875}, {"start": 2410.67, "end": 2411.05, "word": " باجي", "probability": 0.904296875}, {"start": 2411.05, "end": 2411.83, "word": " بقوله", "probability": 0.8238932291666666}, {"start": 2411.83, "end": 2412.51, "word": " ر", "probability": 0.6904296875}, {"start": 2412.51, "end": 2413.95, "word": " تساوي", "probability": 0.7947998046875}, {"start": 2413.95, "end": 2414.77, "word": " limit", "probability": 0.95751953125}, {"start": 2414.77, "end": 2415.49, "word": " لما", "probability": 0.92138671875}, {"start": 2415.49, "end": 2415.71, "word": " ال", "probability": 0.95849609375}, {"start": 2415.71, "end": 2415.91, "word": " N", "probability": 0.4951171875}, {"start": 2415.91, "end": 2416.29, "word": " tends", "probability": 0.67041015625}, {"start": 2416.29, "end": 2416.53, "word": " to", "probability": 0.91552734375}, {"start": 2416.53, "end": 2417.21, "word": " infinity", "probability": 0.81494140625}, {"start": 2417.21, "end": 2418.81, "word": " للجذر", "probability": 0.918701171875}, {"start": 2418.81, "end": 2419.49, "word": " النوني", "probability": 0.9674479166666666}, {"start": 2419.49, "end": 2420.31, "word": " لواحد", "probability": 0.9114583333333334}, {"start": 2420.31, "end": 2420.93, "word": " ناقص", "probability": 0.97412109375}, {"start": 2420.93, "end": 2421.43, "word": " واحد", "probability": 0.9677734375}, {"start": 2421.43, "end": 2421.75, "word": " على", "probability": 0.8779296875}, {"start": 2421.75, "end": 2422.07, "word": " N", "probability": 0.8623046875}, {"start": 2422.07, "end": 2422.69, "word": " كله", "probability": 0.96728515625}, {"start": 2422.69, "end": 2422.91, "word": " to", "probability": 0.9228515625}, {"start": 2422.91, "end": 2423.15, "word": " the", "probability": 0.90869140625}, {"start": 2423.15, "end": 2423.65, "word": " power", "probability": 0.88818359375}, {"start": 2423.65, "end": 2424.23, "word": " N", "probability": 0.6923828125}, {"start": 2424.23, "end": 2424.87, "word": " تربيع", "probability": 0.6846923828125}, {"start": 2424.87, "end": 2426.01, "word": " يبقى", "probability": 0.970703125}, {"start": 2426.01, "end": 2426.27, "word": " هذا", "probability": 0.94384765625}, {"start": 2426.27, "end": 2426.65, "word": " بده", "probability": 0.42333984375}, {"start": 2426.65, "end": 2427.07, "word": " يساوي", "probability": 0.944091796875}, {"start": 2427.07, "end": 2427.61, "word": " limit", "probability": 0.5009765625}, {"start": 2427.61, "end": 2428.03, "word": " لما", "probability": 0.969482421875}, {"start": 2428.03, "end": 2428.25, "word": " ال", "probability": 0.95458984375}, {"start": 2428.25, "end": 2428.51, "word": " N", "probability": 0.9658203125}, {"start": 2428.51, "end": 2428.83, "word": " tends", "probability": 0.8349609375}, {"start": 2428.83, "end": 2429.09, "word": " to", "probability": 0.9677734375}, {"start": 2429.09, "end": 2429.69, "word": " infinity", "probability": 0.87255859375}, {"start": 2429.69, "end": 2430.49, "word": " لواحد", "probability": 0.9178059895833334}, {"start": 2430.49, "end": 2431.15, "word": " ناقص", "probability": 0.994384765625}, {"start": 2431.15, "end": 2431.67, "word": " واحد", "probability": 0.982421875}, {"start": 2431.67, "end": 2431.97, "word": " على", "probability": 0.9384765625}, {"start": 2431.97, "end": 2432.35, "word": " N", "probability": 0.986328125}], "temperature": 1.0}, {"id": 102, "seek": 245544, "start": 2432.65, "end": 2455.45, "text": "كله to the power n اظن هذه ال standard معروفة من الجدول ايه السالب واحد يعني واحد على ايه واحد على اتنين وسبعة من عشرة كاسر ماله اقل من الواحد الصحيح يبقى باجي بقوله by the", "tokens": [28820, 3224, 281, 264, 1347, 297, 1975, 19913, 1863, 29538, 2423, 3832, 20449, 32887, 5172, 3660, 9154, 25724, 3215, 12610, 1975, 1829, 3224, 21136, 6027, 3555, 36764, 24401, 37495, 22653, 36764, 24401, 15844, 1975, 1829, 3224, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 4032, 35457, 27884, 9154, 6225, 8592, 25720, 9122, 32277, 2288, 19446, 43761, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 538, 264], "avg_logprob": -0.2691851137559625, "compression_ratio": 1.6193181818181819, "no_speech_prob": 0.0, "words": [{"start": 2432.65, "end": 2433.37, "word": "كله", "probability": 0.663330078125}, {"start": 2433.37, "end": 2433.57, "word": " to", "probability": 0.8271484375}, {"start": 2433.57, "end": 2433.97, "word": " the", "probability": 0.92919921875}, {"start": 2433.97, "end": 2434.61, "word": " power", "probability": 0.91015625}, {"start": 2434.61, "end": 2435.33, "word": " n", "probability": 0.446044921875}, {"start": 2435.33, "end": 2436.79, "word": " اظن", "probability": 0.6145833333333334}, {"start": 2436.79, "end": 2437.13, "word": " هذه", "probability": 0.251953125}, {"start": 2437.13, "end": 2437.27, "word": " ال", "probability": 0.340087890625}, {"start": 2437.27, "end": 2437.65, "word": " standard", "probability": 0.6640625}, {"start": 2437.65, "end": 2438.61, "word": " معروفة", "probability": 0.928955078125}, {"start": 2438.61, "end": 2439.03, "word": " من", "probability": 0.849609375}, {"start": 2439.03, "end": 2439.87, "word": " الجدول", "probability": 0.754638671875}, {"start": 2439.87, "end": 2442.33, "word": " ايه", "probability": 0.4521484375}, {"start": 2442.33, "end": 2443.09, "word": " السالب", "probability": 0.662353515625}, {"start": 2443.09, "end": 2443.49, "word": " واحد", "probability": 0.9189453125}, {"start": 2443.49, "end": 2443.75, "word": " يعني", "probability": 0.927978515625}, {"start": 2443.75, "end": 2444.31, "word": " واحد", "probability": 0.97216796875}, {"start": 2444.31, "end": 2444.67, "word": " على", "probability": 0.724609375}, {"start": 2444.67, "end": 2445.37, "word": " ايه", "probability": 0.94140625}, {"start": 2445.37, "end": 2446.31, "word": " واحد", "probability": 0.7254638671875}, {"start": 2446.31, "end": 2446.43, "word": " على", "probability": 0.685546875}, {"start": 2446.43, "end": 2446.73, "word": " اتنين", "probability": 0.963623046875}, {"start": 2446.73, "end": 2447.17, "word": " وسبعة", "probability": 0.80419921875}, {"start": 2447.17, "end": 2447.33, "word": " من", "probability": 0.91259765625}, {"start": 2447.33, "end": 2447.71, "word": " عشرة", "probability": 0.8299153645833334}, {"start": 2447.71, "end": 2448.31, "word": " كاسر", "probability": 0.8214518229166666}, {"start": 2448.31, "end": 2448.79, "word": " ماله", "probability": 0.61083984375}, {"start": 2448.79, "end": 2450.37, "word": " اقل", "probability": 0.9036458333333334}, {"start": 2450.37, "end": 2450.65, "word": " من", "probability": 0.994140625}, {"start": 2450.65, "end": 2451.29, "word": " الواحد", "probability": 0.982421875}, {"start": 2451.29, "end": 2452.01, "word": " الصحيح", "probability": 0.9287109375}, {"start": 2452.01, "end": 2452.65, "word": " يبقى", "probability": 0.8551025390625}, {"start": 2452.65, "end": 2453.05, "word": " باجي", "probability": 0.85888671875}, {"start": 2453.05, "end": 2453.91, "word": " بقوله", "probability": 0.9339192708333334}, {"start": 2453.91, "end": 2454.49, "word": " by", "probability": 0.6787109375}, {"start": 2454.49, "end": 2455.45, "word": " the", "probability": 0.68359375}], "temperature": 1.0}, {"id": 103, "seek": 247654, "start": 2474.34, "end": 2476.54, "text": "السؤال السادس", "tokens": [6027, 3794, 33604, 6027, 21136, 18513, 3794], "avg_logprob": -0.3305664099752903, "compression_ratio": 0.8620689655172413, "no_speech_prob": 0.0, "words": [{"start": 2474.3399999999997, "end": 2475.74, "word": "السؤال", "probability": 0.7571563720703125}, {"start": 2475.74, "end": 2476.54, "word": " السادس", "probability": 0.9386393229166666}], "temperature": 1.0}, {"id": 104, "seek": 250752, "start": 2478.72, "end": 2507.52, "text": "بقول summation من N equal one to infinity ل واحد ناقص واحد على تلاتة N كله to the power N مين أفضل اختبار الجدر ماشي الحال هاي رو تسوي ال limit لما ال N tends to infinity للجدر النوني", "tokens": [3555, 39648, 28811, 9154, 426, 2681, 472, 281, 13202, 5296, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 426, 28242, 3224, 281, 264, 1347, 426, 3714, 9957, 5551, 5172, 11242, 1211, 1975, 46456, 3555, 9640, 25724, 3215, 2288, 3714, 33599, 1829, 21542, 6027, 8032, 47302, 12602, 2407, 6055, 3794, 45865, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 24976, 7435, 3215, 2288, 28239, 11536, 1829], "avg_logprob": -0.24045138785408604, "compression_ratio": 1.4432432432432432, "no_speech_prob": 0.0, "words": [{"start": 2478.72, "end": 2479.2, "word": "بقول", "probability": 0.4185791015625}, {"start": 2479.2, "end": 2480.32, "word": " summation", "probability": 0.1207275390625}, {"start": 2480.32, "end": 2481.48, "word": " من", "probability": 0.7783203125}, {"start": 2481.48, "end": 2481.82, "word": " N", "probability": 0.331298828125}, {"start": 2481.82, "end": 2482.34, "word": " equal", "probability": 0.1278076171875}, {"start": 2482.34, "end": 2482.78, "word": " one", "probability": 0.7216796875}, {"start": 2482.78, "end": 2483.1, "word": " to", "probability": 0.93701171875}, {"start": 2483.1, "end": 2484.16, "word": " infinity", "probability": 0.83203125}, {"start": 2484.16, "end": 2484.96, "word": " ل", "probability": 0.69140625}, {"start": 2484.96, "end": 2485.52, "word": " واحد", "probability": 0.749755859375}, {"start": 2485.52, "end": 2486.14, "word": " ناقص", "probability": 0.89794921875}, {"start": 2486.14, "end": 2486.72, "word": " واحد", "probability": 0.97705078125}, {"start": 2486.72, "end": 2487.14, "word": " على", "probability": 0.779296875}, {"start": 2487.14, "end": 2488.0, "word": " تلاتة", "probability": 0.9228515625}, {"start": 2488.0, "end": 2488.32, "word": " N", "probability": 0.837890625}, {"start": 2488.32, "end": 2489.54, "word": " كله", "probability": 0.955078125}, {"start": 2489.54, "end": 2489.76, "word": " to", "probability": 0.921875}, {"start": 2489.76, "end": 2490.06, "word": " the", "probability": 0.89013671875}, {"start": 2490.06, "end": 2490.74, "word": " power", "probability": 0.8935546875}, {"start": 2490.74, "end": 2491.32, "word": " N", "probability": 0.93994140625}, {"start": 2491.32, "end": 2495.66, "word": " مين", "probability": 0.682373046875}, {"start": 2495.66, "end": 2495.94, "word": " أفضل", "probability": 0.8857421875}, {"start": 2495.94, "end": 2496.58, "word": " اختبار", "probability": 0.967041015625}, {"start": 2496.58, "end": 2497.54, "word": " الجدر", "probability": 0.81396484375}, {"start": 2497.54, "end": 2499.36, "word": " ماشي", "probability": 0.7765299479166666}, {"start": 2499.36, "end": 2499.82, "word": " الحال", "probability": 0.96337890625}, {"start": 2499.82, "end": 2500.52, "word": " هاي", "probability": 0.545166015625}, {"start": 2500.52, "end": 2500.94, "word": " رو", "probability": 0.93408203125}, {"start": 2500.94, "end": 2502.14, "word": " تسوي", "probability": 0.6474609375}, {"start": 2502.14, "end": 2502.3, "word": " ال", "probability": 0.8701171875}, {"start": 2502.3, "end": 2502.72, "word": " limit", "probability": 0.94970703125}, {"start": 2502.72, "end": 2503.44, "word": " لما", "probability": 0.94677734375}, {"start": 2503.44, "end": 2503.62, "word": " ال", "probability": 0.9638671875}, {"start": 2503.62, "end": 2503.88, "word": " N", "probability": 0.89794921875}, {"start": 2503.88, "end": 2504.26, "word": " tends", "probability": 0.7880859375}, {"start": 2504.26, "end": 2504.48, "word": " to", "probability": 0.91748046875}, {"start": 2504.48, "end": 2505.24, "word": " infinity", "probability": 0.8408203125}, {"start": 2505.24, "end": 2506.64, "word": " للجدر", "probability": 0.92822265625}, {"start": 2506.64, "end": 2507.52, "word": " النوني", "probability": 0.8072916666666666}], "temperature": 1.0}, {"id": 105, "seek": 253689, "start": 2507.91, "end": 2536.89, "text": "فشل يبقى باجي بقوله هنا the ens wrote test failed او inconclusive فشل طيب دبل حالك نرجع ايه للاختبارات ناخدهم بالدور اختبار الحد النوني بحل الإشكالية شفه ومجرد النظر اه بحلها يبقى بروح باخد", "tokens": [5172, 8592, 1211, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 264, 3489, 4114, 1500, 7612, 1975, 2407, 20972, 66, 7233, 6156, 8592, 1211, 23032, 1829, 3555, 11778, 36150, 11331, 6027, 4117, 8717, 47341, 3615, 1975, 1829, 3224, 24976, 47283, 2655, 3555, 9640, 9307, 8717, 47283, 3215, 16095, 20666, 3215, 13063, 1975, 46456, 3555, 9640, 21542, 3215, 28239, 11536, 1829, 4724, 5016, 1211, 33688, 8592, 4117, 6027, 10632, 13412, 5172, 3224, 4032, 2304, 7435, 2288, 3215, 28239, 19913, 2288, 1975, 3224, 4724, 5016, 1211, 11296, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 47283, 3215], "avg_logprob": -0.17597853625663604, "compression_ratio": 1.5369458128078817, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2507.91, "end": 2508.75, "word": "فشل", "probability": 0.8114420572916666}, {"start": 2508.75, "end": 2509.59, "word": " يبقى", "probability": 0.872314453125}, {"start": 2509.59, "end": 2510.01, "word": " باجي", "probability": 0.8268229166666666}, {"start": 2510.01, "end": 2510.63, "word": " بقوله", "probability": 0.84912109375}, {"start": 2510.63, "end": 2511.13, "word": " هنا", "probability": 0.97998046875}, {"start": 2511.13, "end": 2511.97, "word": " the", "probability": 0.46337890625}, {"start": 2511.97, "end": 2513.25, "word": " ens", "probability": 0.357666015625}, {"start": 2513.25, "end": 2514.69, "word": " wrote", "probability": 0.39892578125}, {"start": 2514.69, "end": 2515.93, "word": " test", "probability": 0.91162109375}, {"start": 2515.93, "end": 2518.35, "word": " failed", "probability": 0.25048828125}, {"start": 2518.35, "end": 2520.03, "word": " او", "probability": 0.80712890625}, {"start": 2520.03, "end": 2521.13, "word": " inconclusive", "probability": 0.86328125}, {"start": 2521.13, "end": 2521.73, "word": " فشل", "probability": 0.9537760416666666}, {"start": 2521.73, "end": 2522.79, "word": " طيب", "probability": 0.9064127604166666}, {"start": 2522.79, "end": 2523.15, "word": " دبل", "probability": 0.780517578125}, {"start": 2523.15, "end": 2523.75, "word": " حالك", "probability": 0.98193359375}, {"start": 2523.75, "end": 2524.75, "word": " نرجع", "probability": 0.8740234375}, {"start": 2524.75, "end": 2525.09, "word": " ايه", "probability": 0.7564290364583334}, {"start": 2525.09, "end": 2526.15, "word": " للاختبارات", "probability": 0.90478515625}, {"start": 2526.15, "end": 2526.59, "word": " ناخدهم", "probability": 0.981201171875}, {"start": 2526.59, "end": 2527.13, "word": " بالدور", "probability": 0.9801432291666666}, {"start": 2527.13, "end": 2528.55, "word": " اختبار", "probability": 0.9757080078125}, {"start": 2528.55, "end": 2528.99, "word": " الحد", "probability": 0.929443359375}, {"start": 2528.99, "end": 2529.41, "word": " النوني", "probability": 0.6964518229166666}, {"start": 2529.41, "end": 2529.65, "word": " بحل", "probability": 0.9220377604166666}, {"start": 2529.65, "end": 2530.45, "word": " الإشكالية", "probability": 0.86005859375}, {"start": 2530.45, "end": 2532.61, "word": " شفه", "probability": 0.7522786458333334}, {"start": 2532.61, "end": 2533.25, "word": " ومجرد", "probability": 0.82783203125}, {"start": 2533.25, "end": 2533.91, "word": " النظر", "probability": 0.9873046875}, {"start": 2533.91, "end": 2534.61, "word": " اه", "probability": 0.656494140625}, {"start": 2534.61, "end": 2535.29, "word": " بحلها", "probability": 0.9803466796875}, {"start": 2535.29, "end": 2535.99, "word": " يبقى", "probability": 0.9691162109375}, {"start": 2535.99, "end": 2536.33, "word": " بروح", "probability": 0.97265625}, {"start": 2536.33, "end": 2536.89, "word": " باخد", "probability": 0.990234375}], "temperature": 1.0}, {"id": 106, "seek": 256482, "start": 2537.44, "end": 2564.82, "text": "limit لما ال in tends to infinity للحد النوني اقص لب طلت يعني واحد على اقص طلت طيب هذا بيساوي zero في يوم من الأيام؟ لا يمكن ان يساوي zero يبقى بروح بقوله bye", "tokens": [4197, 270, 5296, 15042, 2423, 294, 12258, 281, 13202, 24976, 24401, 28239, 11536, 1829, 1975, 4587, 9381, 5296, 3555, 23032, 1211, 2655, 37495, 22653, 36764, 24401, 15844, 1975, 4587, 9381, 23032, 1211, 2655, 23032, 1829, 3555, 23758, 4724, 1829, 3794, 995, 45865, 4018, 8978, 7251, 20498, 9154, 16247, 1829, 10943, 22807, 20193, 7251, 43020, 16472, 7251, 3794, 995, 45865, 4018, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 3224, 6543], "avg_logprob": -0.2968749875823657, "compression_ratio": 1.4880952380952381, "no_speech_prob": 0.0, "words": [{"start": 2537.44, "end": 2538.32, "word": "limit", "probability": 0.57977294921875}, {"start": 2538.32, "end": 2540.1, "word": " لما", "probability": 0.68603515625}, {"start": 2540.1, "end": 2540.32, "word": " ال", "probability": 0.91845703125}, {"start": 2540.32, "end": 2540.58, "word": " in", "probability": 0.1446533203125}, {"start": 2540.58, "end": 2540.98, "word": " tends", "probability": 0.60205078125}, {"start": 2540.98, "end": 2541.22, "word": " to", "probability": 0.91748046875}, {"start": 2541.22, "end": 2541.92, "word": " infinity", "probability": 0.82861328125}, {"start": 2541.92, "end": 2543.04, "word": " للحد", "probability": 0.761474609375}, {"start": 2543.04, "end": 2544.4, "word": " النوني", "probability": 0.8751627604166666}, {"start": 2544.4, "end": 2545.88, "word": " اقص", "probability": 0.4366048177083333}, {"start": 2545.88, "end": 2546.56, "word": " لب", "probability": 0.55194091796875}, {"start": 2546.56, "end": 2547.16, "word": " طلت", "probability": 0.6707356770833334}, {"start": 2547.16, "end": 2548.44, "word": " يعني", "probability": 0.8759765625}, {"start": 2548.44, "end": 2549.8, "word": " واحد", "probability": 0.9765625}, {"start": 2549.8, "end": 2551.08, "word": " على", "probability": 0.74951171875}, {"start": 2551.08, "end": 2552.82, "word": " اقص", "probability": 0.9763997395833334}, {"start": 2552.82, "end": 2554.04, "word": " طلت", "probability": 0.9853515625}, {"start": 2554.04, "end": 2555.98, "word": " طيب", "probability": 0.76123046875}, {"start": 2555.98, "end": 2556.42, "word": " هذا", "probability": 0.6083984375}, {"start": 2556.42, "end": 2556.96, "word": " بيساوي", "probability": 0.89287109375}, {"start": 2556.96, "end": 2557.28, "word": " zero", "probability": 0.42236328125}, {"start": 2557.28, "end": 2557.48, "word": " في", "probability": 0.9521484375}, {"start": 2557.48, "end": 2557.72, "word": " يوم", "probability": 0.9697265625}, {"start": 2557.72, "end": 2557.96, "word": " من", "probability": 0.9951171875}, {"start": 2557.96, "end": 2558.9, "word": " الأيام؟", "probability": 0.8138427734375}, {"start": 2558.9, "end": 2559.96, "word": " لا", "probability": 0.54052734375}, {"start": 2559.96, "end": 2560.52, "word": " يمكن", "probability": 0.92724609375}, {"start": 2560.52, "end": 2560.88, "word": " ان", "probability": 0.66162109375}, {"start": 2560.88, "end": 2561.7, "word": " يساوي", "probability": 0.983154296875}, {"start": 2561.7, "end": 2562.2, "word": " zero", "probability": 0.70703125}, {"start": 2562.2, "end": 2562.96, "word": " يبقى", "probability": 0.9130859375}, {"start": 2562.96, "end": 2563.4, "word": " بروح", "probability": 0.8273111979166666}, {"start": 2563.4, "end": 2564.22, "word": " بقوله", "probability": 0.875}, {"start": 2564.22, "end": 2564.82, "word": " bye", "probability": 0.82373046875}], "temperature": 1.0}, {"id": 107, "seek": 259237, "start": 2566.65, "end": 2592.37, "text": "by the nth term دي البارك nth term وليس nth root the nth term test the series summation لواحد ناقص واحد على تلاتة in كله to the power in by", "tokens": [2322, 264, 297, 392, 1433, 11778, 1829, 29739, 9640, 4117, 297, 392, 1433, 4032, 20292, 3794, 297, 392, 5593, 264, 297, 392, 1433, 1500, 264, 2638, 28811, 5296, 14407, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 294, 28242, 3224, 281, 264, 1347, 294, 538], "avg_logprob": -0.30984374463558195, "compression_ratio": 1.3461538461538463, "no_speech_prob": 0.0, "words": [{"start": 2566.65, "end": 2567.45, "word": "by", "probability": 0.0665283203125}, {"start": 2567.45, "end": 2568.31, "word": " the", "probability": 0.900390625}, {"start": 2568.31, "end": 2569.55, "word": " nth", "probability": 0.67578125}, {"start": 2569.55, "end": 2571.65, "word": " term", "probability": 0.96875}, {"start": 2571.65, "end": 2573.57, "word": " دي", "probability": 0.55108642578125}, {"start": 2573.57, "end": 2574.11, "word": " البارك", "probability": 0.6614583333333334}, {"start": 2574.11, "end": 2574.37, "word": " nth", "probability": 0.8037109375}, {"start": 2574.37, "end": 2574.65, "word": " term", "probability": 0.9814453125}, {"start": 2574.65, "end": 2575.15, "word": " وليس", "probability": 0.93798828125}, {"start": 2575.15, "end": 2575.55, "word": " nth", "probability": 0.848388671875}, {"start": 2575.55, "end": 2575.95, "word": " root", "probability": 0.90185546875}, {"start": 2575.95, "end": 2576.65, "word": " the", "probability": 0.48779296875}, {"start": 2576.65, "end": 2577.17, "word": " nth", "probability": 0.973388671875}, {"start": 2577.17, "end": 2578.09, "word": " term", "probability": 0.96923828125}, {"start": 2578.09, "end": 2579.07, "word": " test", "probability": 0.33349609375}, {"start": 2579.07, "end": 2580.01, "word": " the", "probability": 0.9052734375}, {"start": 2580.01, "end": 2581.05, "word": " series", "probability": 0.93994140625}, {"start": 2581.05, "end": 2584.41, "word": " summation", "probability": 0.80224609375}, {"start": 2584.41, "end": 2586.13, "word": " لواحد", "probability": 0.7311197916666666}, {"start": 2586.13, "end": 2586.73, "word": " ناقص", "probability": 0.9686279296875}, {"start": 2586.73, "end": 2587.29, "word": " واحد", "probability": 0.984375}, {"start": 2587.29, "end": 2587.69, "word": " على", "probability": 0.744140625}, {"start": 2587.69, "end": 2588.59, "word": " تلاتة", "probability": 0.915771484375}, {"start": 2588.59, "end": 2588.89, "word": " in", "probability": 0.422607421875}, {"start": 2588.89, "end": 2589.85, "word": " كله", "probability": 0.964599609375}, {"start": 2589.85, "end": 2590.07, "word": " to", "probability": 0.96044921875}, {"start": 2590.07, "end": 2590.29, "word": " the", "probability": 0.93701171875}, {"start": 2590.29, "end": 2590.79, "word": " power", "probability": 0.93212890625}, {"start": 2590.79, "end": 2591.33, "word": " in", "probability": 0.69775390625}, {"start": 2591.33, "end": 2592.37, "word": " by", "probability": 0.75048828125}], "temperature": 1.0}, {"id": 108, "seek": 261515, "start": 2593.57, "end": 2615.15, "text": "يبقى اختبار الجذر انونى فاشل لكن اختبار الحد انونى هو اللى حل الاشكالية اللى موجودة عندنا طيب السؤال السابع", "tokens": [1829, 3555, 4587, 7578, 1975, 46456, 3555, 9640, 25724, 8848, 2288, 16472, 11536, 7578, 6156, 33599, 1211, 44381, 1975, 46456, 3555, 9640, 21542, 3215, 16472, 11536, 7578, 31439, 13672, 7578, 11331, 1211, 2423, 33599, 4117, 6027, 10632, 13672, 7578, 3714, 29245, 23328, 3660, 43242, 8315, 23032, 1829, 3555, 21136, 33604, 6027, 21136, 16758, 3615], "avg_logprob": -0.13082386201078242, "compression_ratio": 1.6896551724137931, "no_speech_prob": 0.0, "words": [{"start": 2593.57, "end": 2593.97, "word": "يبقى", "probability": 0.904296875}, {"start": 2593.97, "end": 2594.51, "word": " اختبار", "probability": 0.9720458984375}, {"start": 2594.51, "end": 2595.09, "word": " الجذر", "probability": 0.94140625}, {"start": 2595.09, "end": 2595.61, "word": " انونى", "probability": 0.4169514973958333}, {"start": 2595.61, "end": 2596.49, "word": " فاشل", "probability": 0.9674479166666666}, {"start": 2596.49, "end": 2597.43, "word": " لكن", "probability": 0.5556640625}, {"start": 2597.43, "end": 2598.29, "word": " اختبار", "probability": 0.9937744140625}, {"start": 2598.29, "end": 2598.87, "word": " الحد", "probability": 0.974609375}, {"start": 2598.87, "end": 2599.71, "word": " انونى", "probability": 0.955078125}, {"start": 2599.71, "end": 2600.35, "word": " هو", "probability": 0.978515625}, {"start": 2600.35, "end": 2600.57, "word": " اللى", "probability": 0.84228515625}, {"start": 2600.57, "end": 2600.95, "word": " حل", "probability": 0.966796875}, {"start": 2600.95, "end": 2601.75, "word": " الاشكالية", "probability": 0.8751953125}, {"start": 2601.75, "end": 2601.91, "word": " اللى", "probability": 0.9697265625}, {"start": 2601.91, "end": 2602.37, "word": " موجودة", "probability": 0.9837646484375}, {"start": 2602.37, "end": 2603.61, "word": " عندنا", "probability": 0.7509765625}, {"start": 2603.61, "end": 2614.01, "word": " طيب", "probability": 0.9534505208333334}, {"start": 2614.01, "end": 2614.43, "word": " السؤال", "probability": 0.9853515625}, {"start": 2614.43, "end": 2615.15, "word": " السابع", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 109, "seek": 264579, "start": 2620.23, "end": 2645.79, "text": "Summation من N equal one to infinity لواحد تلاتة خمسة لغاية اتنين N ناقص واحد كله على اتنين اربعة ستة لغاية اتنين N في تلاتة أس N زائد واحد", "tokens": [50, 40879, 399, 9154, 426, 2681, 472, 281, 13202, 5296, 14407, 24401, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 5296, 17082, 995, 10632, 1975, 2655, 1863, 9957, 426, 8717, 995, 4587, 9381, 36764, 24401, 28242, 3224, 15844, 1975, 2655, 1863, 9957, 1975, 25513, 27884, 8608, 2655, 3660, 5296, 17082, 995, 10632, 1975, 2655, 1863, 9957, 426, 8978, 6055, 1211, 9307, 3660, 5551, 3794, 426, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.11564700956075964, "compression_ratio": 1.4697986577181208, "no_speech_prob": 0.0, "words": [{"start": 2620.23, "end": 2621.43, "word": "Summation", "probability": 0.6289876302083334}, {"start": 2621.43, "end": 2622.37, "word": " من", "probability": 0.8642578125}, {"start": 2622.37, "end": 2622.87, "word": " N", "probability": 0.5380859375}, {"start": 2622.87, "end": 2623.49, "word": " equal", "probability": 0.239013671875}, {"start": 2623.49, "end": 2624.03, "word": " one", "probability": 0.69287109375}, {"start": 2624.03, "end": 2624.37, "word": " to", "probability": 0.923828125}, {"start": 2624.37, "end": 2625.45, "word": " infinity", "probability": 0.8310546875}, {"start": 2625.45, "end": 2627.13, "word": " لواحد", "probability": 0.8349609375}, {"start": 2627.13, "end": 2628.57, "word": " تلاتة", "probability": 0.8460693359375}, {"start": 2628.57, "end": 2630.25, "word": " خمسة", "probability": 0.969970703125}, {"start": 2630.25, "end": 2631.01, "word": " لغاية", "probability": 0.9879150390625}, {"start": 2631.01, "end": 2631.83, "word": " اتنين", "probability": 0.9674072265625}, {"start": 2631.83, "end": 2632.41, "word": " N", "probability": 0.91015625}, {"start": 2632.41, "end": 2633.77, "word": " ناقص", "probability": 0.9339599609375}, {"start": 2633.77, "end": 2634.47, "word": " واحد", "probability": 0.992431640625}, {"start": 2634.47, "end": 2635.39, "word": " كله", "probability": 0.960205078125}, {"start": 2635.39, "end": 2635.77, "word": " على", "probability": 0.86962890625}, {"start": 2635.77, "end": 2637.15, "word": " اتنين", "probability": 0.9757080078125}, {"start": 2637.15, "end": 2638.11, "word": " اربعة", "probability": 0.798828125}, {"start": 2638.11, "end": 2638.97, "word": " ستة", "probability": 0.98828125}, {"start": 2638.97, "end": 2640.17, "word": " لغاية", "probability": 0.9954833984375}, {"start": 2640.17, "end": 2640.95, "word": " اتنين", "probability": 0.9901123046875}, {"start": 2640.95, "end": 2641.45, "word": " N", "probability": 0.88525390625}, {"start": 2641.45, "end": 2642.27, "word": " في", "probability": 0.83935546875}, {"start": 2642.27, "end": 2643.19, "word": " تلاتة", "probability": 0.95068359375}, {"start": 2643.19, "end": 2643.55, "word": " أس", "probability": 0.698974609375}, {"start": 2643.55, "end": 2644.07, "word": " N", "probability": 0.96337890625}, {"start": 2644.07, "end": 2645.29, "word": " زائد", "probability": 0.9352213541666666}, {"start": 2645.29, "end": 2645.79, "word": " واحد", "probability": 0.990478515625}], "temperature": 1.0}, {"id": 110, "seek": 267904, "start": 2651.18, "end": 2679.04, "text": "الجذر على النسبة جذر في الشمكانية يبقى على النسبة دوري يبقى راه تساوي ال limit لما ال N tends to infinity لواحد، تلاتة، خمسة، يبدأ يشيل ال N ويضع مكانها جداش N زائد واحد يبقى لو حاطيت N زائد واحد اتنين يبدأ تنضرب في N زائد واحد تصيروا اتنين", "tokens": [6027, 7435, 8848, 2288, 15844, 28239, 35457, 3660, 10874, 8848, 2288, 8978, 25124, 2304, 41361, 10632, 7251, 3555, 4587, 7578, 15844, 28239, 35457, 3660, 11778, 13063, 1829, 7251, 3555, 4587, 7578, 12602, 40294, 6055, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 14407, 24401, 12399, 6055, 1211, 9307, 3660, 12399, 16490, 2304, 3794, 3660, 12399, 7251, 44510, 10721, 7251, 8592, 26895, 2423, 426, 4032, 1829, 11242, 3615, 3714, 41361, 11296, 10874, 3215, 33599, 426, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 45164, 11331, 41193, 36081, 426, 30767, 16373, 3215, 36764, 24401, 1975, 2655, 1863, 9957, 7251, 44510, 10721, 6055, 1863, 11242, 25513, 8978, 426, 30767, 16373, 3215, 36764, 24401, 6055, 9381, 13546, 14407, 1975, 2655, 1863, 9957], "avg_logprob": -0.30100000858306886, "compression_ratio": 1.938095238095238, "no_speech_prob": 0.0, "words": [{"start": 2651.18, "end": 2652.22, "word": "الجذر", "probability": 0.494384765625}, {"start": 2652.22, "end": 2652.42, "word": " على", "probability": 0.42626953125}, {"start": 2652.42, "end": 2653.06, "word": " النسبة", "probability": 0.9459635416666666}, {"start": 2653.06, "end": 2655.62, "word": " جذر", "probability": 0.7032063802083334}, {"start": 2655.62, "end": 2655.74, "word": " في", "probability": 0.689453125}, {"start": 2655.74, "end": 2656.58, "word": " الشمكانية", "probability": 0.8697509765625}, {"start": 2656.58, "end": 2657.08, "word": " يبقى", "probability": 0.90673828125}, {"start": 2657.08, "end": 2657.24, "word": " على", "probability": 0.94189453125}, {"start": 2657.24, "end": 2657.8, "word": " النسبة", "probability": 0.9679361979166666}, {"start": 2657.8, "end": 2658.66, "word": " دوري", "probability": 0.6625162760416666}, {"start": 2658.66, "end": 2659.5, "word": " يبقى", "probability": 0.9486083984375}, {"start": 2659.5, "end": 2660.16, "word": " راه", "probability": 0.20062255859375}, {"start": 2660.16, "end": 2660.74, "word": " تساوي", "probability": 0.70684814453125}, {"start": 2660.74, "end": 2660.9, "word": " ال", "probability": 0.6708984375}, {"start": 2660.9, "end": 2661.44, "word": " limit", "probability": 0.89208984375}, {"start": 2661.44, "end": 2661.94, "word": " لما", "probability": 0.876953125}, {"start": 2661.94, "end": 2662.2, "word": " ال", "probability": 0.9306640625}, {"start": 2662.2, "end": 2662.42, "word": " N", "probability": 0.448486328125}, {"start": 2662.42, "end": 2662.84, "word": " tends", "probability": 0.301513671875}, {"start": 2662.84, "end": 2663.06, "word": " to", "probability": 0.93896484375}, {"start": 2663.06, "end": 2663.76, "word": " infinity", "probability": 0.806640625}, {"start": 2663.76, "end": 2665.42, "word": " لواحد،", "probability": 0.58404541015625}, {"start": 2665.42, "end": 2666.34, "word": " تلاتة،", "probability": 0.95263671875}, {"start": 2666.34, "end": 2667.34, "word": " خمسة،", "probability": 0.83681640625}, {"start": 2667.34, "end": 2667.98, "word": " يبدأ", "probability": 0.5794270833333334}, {"start": 2667.98, "end": 2668.3, "word": " يشيل", "probability": 0.7073567708333334}, {"start": 2668.3, "end": 2668.54, "word": " ال", "probability": 0.8662109375}, {"start": 2668.54, "end": 2668.7, "word": " N", "probability": 0.9052734375}, {"start": 2668.7, "end": 2669.28, "word": " ويضع", "probability": 0.80224609375}, {"start": 2669.28, "end": 2669.8, "word": " مكانها", "probability": 0.90380859375}, {"start": 2669.8, "end": 2670.48, "word": " جداش", "probability": 0.8084309895833334}, {"start": 2670.48, "end": 2671.4, "word": " N", "probability": 0.281494140625}, {"start": 2671.4, "end": 2671.82, "word": " زائد", "probability": 0.7483723958333334}, {"start": 2671.82, "end": 2672.02, "word": " واحد", "probability": 0.974853515625}, {"start": 2672.02, "end": 2672.24, "word": " يبقى", "probability": 0.8385009765625}, {"start": 2672.24, "end": 2672.4, "word": " لو", "probability": 0.93017578125}, {"start": 2672.4, "end": 2673.12, "word": " حاطيت", "probability": 0.7145182291666666}, {"start": 2673.12, "end": 2673.48, "word": " N", "probability": 0.88818359375}, {"start": 2673.48, "end": 2674.08, "word": " زائد", "probability": 0.98046875}, {"start": 2674.08, "end": 2674.46, "word": " واحد", "probability": 0.988037109375}, {"start": 2674.46, "end": 2675.4, "word": " اتنين", "probability": 0.8865966796875}, {"start": 2675.4, "end": 2675.84, "word": " يبدأ", "probability": 0.7796223958333334}, {"start": 2675.84, "end": 2676.4, "word": " تنضرب", "probability": 0.8228759765625}, {"start": 2676.4, "end": 2676.6, "word": " في", "probability": 0.9228515625}, {"start": 2676.6, "end": 2676.84, "word": " N", "probability": 0.83837890625}, {"start": 2676.84, "end": 2677.16, "word": " زائد", "probability": 0.9664713541666666}, {"start": 2677.16, "end": 2677.54, "word": " واحد", "probability": 0.988525390625}, {"start": 2677.54, "end": 2678.38, "word": " تصيروا", "probability": 0.40380859375}, {"start": 2678.38, "end": 2679.04, "word": " اتنين", "probability": 0.9737548828125}], "temperature": 1.0}, {"id": 111, "seek": 270330, "start": 2679.38, "end": 2703.3, "text": "بصير اتنين ان زائد اتنين ونقص واحد يعني جداش اتنين ان زائد واحد يبقى بيبقى ماشي لغاية اتنين ان زائد واحد مقسوما على اتنين اربعة ستة وهذا بيصير جداش اتنين ان زائد اتنين اتنين ان", "tokens": [3555, 9381, 13546, 1975, 2655, 1863, 9957, 16472, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 4032, 1863, 4587, 9381, 36764, 24401, 37495, 22653, 10874, 3215, 33599, 1975, 2655, 1863, 9957, 16472, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 1829, 3555, 4587, 7578, 3714, 33599, 1829, 5296, 17082, 995, 10632, 1975, 2655, 1863, 9957, 16472, 30767, 16373, 3215, 36764, 24401, 3714, 4587, 3794, 2407, 15042, 15844, 1975, 2655, 1863, 9957, 1975, 25513, 27884, 8608, 2655, 3660, 37037, 15730, 4724, 1829, 9381, 13546, 10874, 3215, 33599, 1975, 2655, 1863, 9957, 16472, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 16472], "avg_logprob": -0.12797619161151705, "compression_ratio": 2.3909774436090228, "no_speech_prob": 0.0, "words": [{"start": 2679.38, "end": 2680.18, "word": "بصير", "probability": 0.679931640625}, {"start": 2680.18, "end": 2681.26, "word": " اتنين", "probability": 0.9093017578125}, {"start": 2681.26, "end": 2681.7, "word": " ان", "probability": 0.260986328125}, {"start": 2681.7, "end": 2682.6, "word": " زائد", "probability": 0.90576171875}, {"start": 2682.6, "end": 2683.3, "word": " اتنين", "probability": 0.990478515625}, {"start": 2683.3, "end": 2683.98, "word": " ونقص", "probability": 0.87255859375}, {"start": 2683.98, "end": 2684.36, "word": " واحد", "probability": 0.98388671875}, {"start": 2684.36, "end": 2684.58, "word": " يعني", "probability": 0.841796875}, {"start": 2684.58, "end": 2685.22, "word": " جداش", "probability": 0.7659505208333334}, {"start": 2685.22, "end": 2686.34, "word": " اتنين", "probability": 0.9366455078125}, {"start": 2686.34, "end": 2686.64, "word": " ان", "probability": 0.89990234375}, {"start": 2686.64, "end": 2687.38, "word": " زائد", "probability": 0.96728515625}, {"start": 2687.38, "end": 2687.86, "word": " واحد", "probability": 0.990234375}, {"start": 2687.86, "end": 2688.58, "word": " يبقى", "probability": 0.9522705078125}, {"start": 2688.58, "end": 2688.86, "word": " بيبقى", "probability": 0.692431640625}, {"start": 2688.86, "end": 2689.56, "word": " ماشي", "probability": 0.7921549479166666}, {"start": 2689.56, "end": 2690.08, "word": " لغاية", "probability": 0.9783935546875}, {"start": 2690.08, "end": 2690.9, "word": " اتنين", "probability": 0.9864501953125}, {"start": 2690.9, "end": 2691.6, "word": " ان", "probability": 0.9384765625}, {"start": 2691.6, "end": 2692.52, "word": " زائد", "probability": 0.974609375}, {"start": 2692.52, "end": 2692.96, "word": " واحد", "probability": 0.988037109375}, {"start": 2692.96, "end": 2694.44, "word": " مقسوما", "probability": 0.8548828125}, {"start": 2694.44, "end": 2694.96, "word": " على", "probability": 0.830078125}, {"start": 2694.96, "end": 2696.12, "word": " اتنين", "probability": 0.9849853515625}, {"start": 2696.12, "end": 2696.96, "word": " اربعة", "probability": 0.8621419270833334}, {"start": 2696.96, "end": 2697.8, "word": " ستة", "probability": 0.96533203125}, {"start": 2697.8, "end": 2698.7, "word": " وهذا", "probability": 0.867431640625}, {"start": 2698.7, "end": 2699.22, "word": " بيصير", "probability": 0.86181640625}, {"start": 2699.22, "end": 2699.94, "word": " جداش", "probability": 0.97021484375}, {"start": 2699.94, "end": 2700.52, "word": " اتنين", "probability": 0.9879150390625}, {"start": 2700.52, "end": 2700.78, "word": " ان", "probability": 0.8525390625}, {"start": 2700.78, "end": 2701.26, "word": " زائد", "probability": 0.9298502604166666}, {"start": 2701.26, "end": 2701.88, "word": " اتنين", "probability": 0.994384765625}, {"start": 2701.88, "end": 2702.78, "word": " اتنين", "probability": 0.9732666015625}, {"start": 2702.78, "end": 2703.3, "word": " ان", "probability": 0.951171875}], "temperature": 1.0}, {"id": 112, "seek": 271824, "start": 2703.66, "end": 2718.24, "text": "زائد يتنام هنا هذا اللي بصد خلاصنا منه المقام بدي يصير تلاتة أس ان زائد واحد على واحد شرايك أحول لضرب وشجل بدوري", "tokens": [11622, 16373, 3215, 7251, 2655, 8315, 2304, 34105, 23758, 13672, 1829, 4724, 9381, 3215, 16490, 1211, 33546, 8315, 9154, 3224, 9673, 4587, 10943, 4724, 16254, 7251, 9381, 13546, 6055, 1211, 9307, 3660, 5551, 3794, 16472, 30767, 16373, 3215, 36764, 24401, 15844, 36764, 24401, 13412, 23557, 1829, 4117, 5551, 5016, 12610, 5296, 11242, 25513, 4032, 8592, 7435, 1211, 47525, 13063, 1829], "avg_logprob": -0.3506659972863119, "compression_ratio": 1.5538461538461539, "no_speech_prob": 0.0, "words": [{"start": 2703.66, "end": 2704.54, "word": "زائد", "probability": 0.6713053385416666}, {"start": 2704.54, "end": 2705.16, "word": " يتنام", "probability": 0.66943359375}, {"start": 2705.16, "end": 2705.98, "word": " هنا", "probability": 0.38818359375}, {"start": 2705.98, "end": 2706.34, "word": " هذا", "probability": 0.4521484375}, {"start": 2706.34, "end": 2706.5, "word": " اللي", "probability": 0.59295654296875}, {"start": 2706.5, "end": 2706.8, "word": " بصد", "probability": 0.4884440104166667}, {"start": 2706.8, "end": 2707.34, "word": " خلاصنا", "probability": 0.902587890625}, {"start": 2707.34, "end": 2707.64, "word": " منه", "probability": 0.9345703125}, {"start": 2707.64, "end": 2708.66, "word": " المقام", "probability": 0.8636067708333334}, {"start": 2708.66, "end": 2709.38, "word": " بدي", "probability": 0.33447265625}, {"start": 2709.38, "end": 2709.76, "word": " يصير", "probability": 0.8489583333333334}, {"start": 2709.76, "end": 2710.72, "word": " تلاتة", "probability": 0.866455078125}, {"start": 2710.72, "end": 2711.06, "word": " أس", "probability": 0.7548828125}, {"start": 2711.06, "end": 2711.46, "word": " ان", "probability": 0.432861328125}, {"start": 2711.46, "end": 2712.14, "word": " زائد", "probability": 0.9578450520833334}, {"start": 2712.14, "end": 2712.72, "word": " واحد", "probability": 0.983154296875}, {"start": 2712.72, "end": 2713.08, "word": " على", "probability": 0.69384765625}, {"start": 2713.08, "end": 2713.68, "word": " واحد", "probability": 0.98779296875}, {"start": 2713.68, "end": 2714.82, "word": " شرايك", "probability": 0.6107177734375}, {"start": 2714.82, "end": 2715.46, "word": " أحول", "probability": 0.757080078125}, {"start": 2715.46, "end": 2716.16, "word": " لضرب", "probability": 0.9475911458333334}, {"start": 2716.16, "end": 2717.6, "word": " وشجل", "probability": 0.6331787109375}, {"start": 2717.6, "end": 2718.24, "word": " بدوري", "probability": 0.8603515625}], "temperature": 1.0}, {"id": 113, "seek": 274561, "start": 2718.65, "end": 2745.61, "text": "يبقى ايش بيصير؟ اتنين اربعة ستة لغاية اتنين N في تلاتة أس N زائد واحد على واحد تلاتة خمسة لغاية اتنين N ناقص واحد طيب بدي اسأل السؤال التالي واشوف ايش رأيكوا فيه", "tokens": [1829, 3555, 4587, 7578, 1975, 1829, 8592, 4724, 1829, 9381, 13546, 22807, 1975, 2655, 1863, 9957, 1975, 25513, 27884, 8608, 2655, 3660, 5296, 17082, 995, 10632, 1975, 2655, 1863, 9957, 426, 8978, 6055, 1211, 9307, 3660, 5551, 3794, 426, 30767, 16373, 3215, 36764, 24401, 15844, 36764, 24401, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 5296, 17082, 995, 10632, 1975, 2655, 1863, 9957, 426, 8717, 995, 4587, 9381, 36764, 24401, 23032, 1829, 3555, 4724, 16254, 24525, 10721, 1211, 21136, 33604, 6027, 16712, 6027, 1829, 4032, 33599, 38688, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 14407, 8978, 3224], "avg_logprob": -0.15098852664232254, "compression_ratio": 1.8397435897435896, "no_speech_prob": 0.0, "words": [{"start": 2718.65, "end": 2719.23, "word": "يبقى", "probability": 0.8109130859375}, {"start": 2719.23, "end": 2719.29, "word": " ايش", "probability": 0.5604248046875}, {"start": 2719.29, "end": 2720.11, "word": " بيصير؟", "probability": 0.87431640625}, {"start": 2720.11, "end": 2720.87, "word": " اتنين", "probability": 0.84063720703125}, {"start": 2720.87, "end": 2721.85, "word": " اربعة", "probability": 0.8837890625}, {"start": 2721.85, "end": 2722.75, "word": " ستة", "probability": 0.9812825520833334}, {"start": 2722.75, "end": 2723.71, "word": " لغاية", "probability": 0.986328125}, {"start": 2723.71, "end": 2724.61, "word": " اتنين", "probability": 0.9814453125}, {"start": 2724.61, "end": 2725.31, "word": " N", "probability": 0.5927734375}, {"start": 2725.31, "end": 2726.03, "word": " في", "probability": 0.86865234375}, {"start": 2726.03, "end": 2726.95, "word": " تلاتة", "probability": 0.966064453125}, {"start": 2726.95, "end": 2727.27, "word": " أس", "probability": 0.5770263671875}, {"start": 2727.27, "end": 2727.69, "word": " N", "probability": 0.86962890625}, {"start": 2727.69, "end": 2728.47, "word": " زائد", "probability": 0.9415690104166666}, {"start": 2728.47, "end": 2729.21, "word": " واحد", "probability": 0.983642578125}, {"start": 2729.21, "end": 2730.13, "word": " على", "probability": 0.56103515625}, {"start": 2730.13, "end": 2730.77, "word": " واحد", "probability": 0.95263671875}, {"start": 2730.77, "end": 2731.87, "word": " تلاتة", "probability": 0.9642333984375}, {"start": 2731.87, "end": 2733.15, "word": " خمسة", "probability": 0.9061279296875}, {"start": 2733.15, "end": 2733.61, "word": " لغاية", "probability": 0.9935302734375}, {"start": 2733.61, "end": 2734.35, "word": " اتنين", "probability": 0.9864501953125}, {"start": 2734.35, "end": 2734.91, "word": " N", "probability": 0.98828125}, {"start": 2734.91, "end": 2736.01, "word": " ناقص", "probability": 0.9561767578125}, {"start": 2736.01, "end": 2736.55, "word": " واحد", "probability": 0.987548828125}, {"start": 2736.55, "end": 2740.35, "word": " طيب", "probability": 0.90478515625}, {"start": 2740.35, "end": 2742.03, "word": " بدي", "probability": 0.6156005859375}, {"start": 2742.03, "end": 2742.43, "word": " اسأل", "probability": 0.8141276041666666}, {"start": 2742.43, "end": 2742.89, "word": " السؤال", "probability": 0.9939778645833334}, {"start": 2742.89, "end": 2743.55, "word": " التالي", "probability": 0.9728190104166666}, {"start": 2743.55, "end": 2744.45, "word": " واشوف", "probability": 0.8092447916666666}, {"start": 2744.45, "end": 2744.71, "word": " ايش", "probability": 0.7361653645833334}, {"start": 2744.71, "end": 2745.31, "word": " رأيكوا", "probability": 0.91494140625}, {"start": 2745.31, "end": 2745.61, "word": " فيه", "probability": 0.994140625}], "temperature": 1.0}, {"id": 114, "seek": 277448, "start": 2746.1, "end": 2774.48, "text": "حد فيكم بيقدر يجيبلي ال term اللي جابلي ال term هذا واحد تلاتة خمسة وصلنا اتنين in زي انه بدي اللي جابله بدي ارفع عيدك بس و احكي ايه اللي بدي احكي انا باتفضل انا ناقص واحد ان ان ناقص واحد وليس اتنين in لأن كل حد بيفرج عن اللي جابله مقدار اتنين اذا اللي جابله هنا بدي يكون اتنين in ناقص واحد طب اللي جاب ال هذا", "tokens": [5016, 3215, 8978, 24793, 4724, 1829, 28543, 2288, 7251, 7435, 1829, 3555, 20292, 2423, 1433, 13672, 1829, 10874, 16758, 20292, 2423, 1433, 23758, 36764, 24401, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 4032, 36520, 8315, 1975, 2655, 1863, 9957, 294, 30767, 1829, 16472, 3224, 4724, 16254, 13672, 1829, 10874, 16758, 43761, 4724, 16254, 1975, 28480, 3615, 6225, 25708, 4117, 4724, 3794, 4032, 1975, 5016, 4117, 1829, 1975, 1829, 3224, 13672, 1829, 4724, 16254, 1975, 5016, 4117, 1829, 1975, 8315, 4724, 9307, 5172, 11242, 1211, 1975, 8315, 8717, 995, 4587, 9381, 36764, 24401, 16472, 16472, 8717, 995, 4587, 9381, 36764, 24401, 4032, 20292, 3794, 1975, 2655, 1863, 9957, 294, 5296, 33456, 28242, 11331, 3215, 4724, 33911, 47341, 18871, 13672, 1829, 10874, 16758, 43761, 3714, 28543, 9640, 1975, 2655, 1863, 9957, 1975, 15730, 13672, 1829, 10874, 16758, 43761, 34105, 4724, 16254, 7251, 30544, 1975, 2655, 1863, 9957, 294, 8717, 995, 4587, 9381, 36764, 24401, 23032, 3555, 13672, 1829, 10874, 16758, 2423, 23758], "avg_logprob": -0.25173610504026767, "compression_ratio": 2.324675324675325, "no_speech_prob": 0.0, "words": [{"start": 2746.1, "end": 2746.48, "word": "حد", "probability": 0.415771484375}, {"start": 2746.48, "end": 2746.98, "word": " فيكم", "probability": 0.740966796875}, {"start": 2746.98, "end": 2747.58, "word": " بيقدر", "probability": 0.8182373046875}, {"start": 2747.58, "end": 2748.18, "word": " يجيبلي", "probability": 0.92685546875}, {"start": 2748.18, "end": 2748.38, "word": " ال", "probability": 0.5107421875}, {"start": 2748.38, "end": 2748.72, "word": " term", "probability": 0.9501953125}, {"start": 2748.72, "end": 2749.1, "word": " اللي", "probability": 0.830322265625}, {"start": 2749.1, "end": 2749.66, "word": " جابلي", "probability": 0.9225260416666666}, {"start": 2749.66, "end": 2749.92, "word": " ال", "probability": 0.90283203125}, {"start": 2749.92, "end": 2750.32, "word": " term", "probability": 0.96630859375}, {"start": 2750.32, "end": 2750.88, "word": " هذا", "probability": 0.8056640625}, {"start": 2750.88, "end": 2752.6, "word": " واحد", "probability": 0.6402587890625}, {"start": 2752.6, "end": 2753.16, "word": " تلاتة", "probability": 0.833984375}, {"start": 2753.16, "end": 2753.74, "word": " خمسة", "probability": 0.9390869140625}, {"start": 2753.74, "end": 2754.26, "word": " وصلنا", "probability": 0.7781575520833334}, {"start": 2754.26, "end": 2754.66, "word": " اتنين", "probability": 0.8138427734375}, {"start": 2754.66, "end": 2755.0, "word": " in", "probability": 0.376220703125}, {"start": 2755.0, "end": 2755.26, "word": " زي", "probability": 0.71435546875}, {"start": 2755.26, "end": 2755.4, "word": " انه", "probability": 0.52520751953125}, {"start": 2755.4, "end": 2755.64, "word": " بدي", "probability": 0.7083740234375}, {"start": 2755.64, "end": 2755.82, "word": " اللي", "probability": 0.571533203125}, {"start": 2755.82, "end": 2756.28, "word": " جابله", "probability": 0.9759114583333334}, {"start": 2756.28, "end": 2757.94, "word": " بدي", "probability": 0.543914794921875}, {"start": 2757.94, "end": 2758.42, "word": " ارفع", "probability": 0.9384765625}, {"start": 2758.42, "end": 2758.76, "word": " عيدك", "probability": 0.8141276041666666}, {"start": 2758.76, "end": 2759.0, "word": " بس", "probability": 0.8525390625}, {"start": 2759.0, "end": 2759.14, "word": " و", "probability": 0.9111328125}, {"start": 2759.14, "end": 2759.5, "word": " احكي", "probability": 0.9005126953125}, {"start": 2759.5, "end": 2759.96, "word": " ايه", "probability": 0.5329996744791666}, {"start": 2759.96, "end": 2760.02, "word": " اللي", "probability": 0.985107421875}, {"start": 2760.02, "end": 2760.18, "word": " بدي", "probability": 0.86767578125}, {"start": 2760.18, "end": 2760.4, "word": " احكي", "probability": 0.6483154296875}, {"start": 2760.4, "end": 2760.6, "word": " انا", "probability": 0.6732177734375}, {"start": 2760.6, "end": 2761.2, "word": " باتفضل", "probability": 0.707373046875}, {"start": 2761.2, "end": 2761.44, "word": " انا", "probability": 0.4755859375}, {"start": 2761.44, "end": 2761.82, "word": " ناقص", "probability": 0.8446044921875}, {"start": 2761.82, "end": 2762.12, "word": " واحد", "probability": 0.982177734375}, {"start": 2762.12, "end": 2762.46, "word": " ان", "probability": 0.47509765625}, {"start": 2762.46, "end": 2762.86, "word": " ان", "probability": 0.40380859375}, {"start": 2762.86, "end": 2763.34, "word": " ناقص", "probability": 0.9346923828125}, {"start": 2763.34, "end": 2763.62, "word": " واحد", "probability": 0.98095703125}, {"start": 2763.62, "end": 2764.26, "word": " وليس", "probability": 0.8077799479166666}, {"start": 2764.26, "end": 2764.8, "word": " اتنين", "probability": 0.968994140625}, {"start": 2764.8, "end": 2765.1, "word": " in", "probability": 0.8876953125}, {"start": 2765.1, "end": 2765.34, "word": " لأن", "probability": 0.66162109375}, {"start": 2765.34, "end": 2765.78, "word": " كل", "probability": 0.64697265625}, {"start": 2765.78, "end": 2766.16, "word": " حد", "probability": 0.9833984375}, {"start": 2766.16, "end": 2766.58, "word": " بيفرج", "probability": 0.8728841145833334}, {"start": 2766.58, "end": 2766.76, "word": " عن", "probability": 0.92333984375}, {"start": 2766.76, "end": 2766.94, "word": " اللي", "probability": 0.96337890625}, {"start": 2766.94, "end": 2767.36, "word": " جابله", "probability": 0.9783528645833334}, {"start": 2767.36, "end": 2768.38, "word": " مقدار", "probability": 0.8953450520833334}, {"start": 2768.38, "end": 2768.88, "word": " اتنين", "probability": 0.9884033203125}, {"start": 2768.88, "end": 2769.52, "word": " اذا", "probability": 0.825927734375}, {"start": 2769.52, "end": 2769.7, "word": " اللي", "probability": 0.97802734375}, {"start": 2769.7, "end": 2770.18, "word": " جابله", "probability": 0.9837239583333334}, {"start": 2770.18, "end": 2770.4, "word": " هنا", "probability": 0.68115234375}, {"start": 2770.4, "end": 2770.7, "word": " بدي", "probability": 0.88232421875}, {"start": 2770.7, "end": 2771.02, "word": " يكون", "probability": 0.792236328125}, {"start": 2771.02, "end": 2771.88, "word": " اتنين", "probability": 0.9891357421875}, {"start": 2771.88, "end": 2772.34, "word": " in", "probability": 0.77001953125}, {"start": 2772.34, "end": 2772.94, "word": " ناقص", "probability": 0.9830322265625}, {"start": 2772.94, "end": 2773.28, "word": " واحد", "probability": 0.990234375}, {"start": 2773.28, "end": 2773.54, "word": " طب", "probability": 0.890869140625}, {"start": 2773.54, "end": 2773.74, "word": " اللي", "probability": 0.968505859375}, {"start": 2773.74, "end": 2774.0, "word": " جاب", "probability": 0.979248046875}, {"start": 2774.0, "end": 2774.14, "word": " ال", "probability": 0.52490234375}, {"start": 2774.14, "end": 2774.48, "word": " هذا", "probability": 0.52783203125}], "temperature": 1.0}, {"id": 115, "seek": 279507, "start": 2784.87, "end": 2795.07, "text": "طب تعالوا نختصر الجش هدول كلهم مرة واحدة مع هدول و هدول هك مع السلامة مع هدول", "tokens": [9566, 3555, 37279, 6027, 14407, 8717, 46456, 9381, 2288, 25724, 8592, 8032, 3215, 12610, 28242, 16095, 3714, 25720, 36764, 24401, 3660, 20449, 8032, 3215, 12610, 4032, 8032, 3215, 12610, 8032, 4117, 20449, 21136, 37440, 3660, 20449, 8032, 3215, 12610], "avg_logprob": -0.2433593686670065, "compression_ratio": 1.5681818181818181, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2784.87, "end": 2785.79, "word": "طب", "probability": 0.4010467529296875}, {"start": 2785.79, "end": 2786.21, "word": " تعالوا", "probability": 0.80810546875}, {"start": 2786.21, "end": 2786.87, "word": " نختصر", "probability": 0.9830322265625}, {"start": 2786.87, "end": 2787.33, "word": " الجش", "probability": 0.4310302734375}, {"start": 2787.33, "end": 2787.79, "word": " هدول", "probability": 0.7764485677083334}, {"start": 2787.79, "end": 2788.37, "word": " كلهم", "probability": 0.953857421875}, {"start": 2788.37, "end": 2788.63, "word": " مرة", "probability": 0.9462890625}, {"start": 2788.63, "end": 2789.11, "word": " واحدة", "probability": 0.9622395833333334}, {"start": 2789.11, "end": 2789.31, "word": " مع", "probability": 0.98828125}, {"start": 2789.31, "end": 2789.77, "word": " هدول", "probability": 0.9786783854166666}, {"start": 2789.77, "end": 2791.29, "word": " و", "probability": 0.3310546875}, {"start": 2791.29, "end": 2792.65, "word": " هدول", "probability": 0.9563802083333334}, {"start": 2792.65, "end": 2793.31, "word": " هك", "probability": 0.7054443359375}, {"start": 2793.31, "end": 2793.63, "word": " مع", "probability": 0.98974609375}, {"start": 2793.63, "end": 2794.39, "word": " السلامة", "probability": 0.96875}, {"start": 2794.39, "end": 2794.61, "word": " مع", "probability": 0.97705078125}, {"start": 2794.61, "end": 2795.07, "word": " هدول", "probability": 0.9934895833333334}], "temperature": 1.0}, {"id": 116, "seek": 282419, "start": 2796.29, "end": 2824.19, "text": "يبقى بقى قصتنا صارت بسيطة يبقى هذا الكلام بده يساوي limit لما ال N tends to infinity ل 2N زائد 1 على 2N زائد 2 في limit لما ال N tends to infinity ل 3 أس N زائد 1 3 أس N زائد 1 زائد 1 ايش رأيك في ال limit هذه كلها؟", "tokens": [1829, 3555, 4587, 7578, 4724, 4587, 7578, 12174, 9381, 2655, 8315, 20328, 9640, 2655, 4724, 3794, 1829, 9566, 3660, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 568, 45, 30767, 16373, 3215, 502, 15844, 568, 45, 30767, 16373, 3215, 568, 8978, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 805, 5551, 3794, 426, 30767, 16373, 3215, 502, 805, 5551, 3794, 426, 30767, 16373, 3215, 502, 30767, 16373, 3215, 502, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 8978, 2423, 4948, 29538, 28242, 11296, 22807], "avg_logprob": -0.22000000163912772, "compression_ratio": 1.8057142857142856, "no_speech_prob": 0.0, "words": [{"start": 2796.29, "end": 2796.69, "word": "يبقى", "probability": 0.78570556640625}, {"start": 2796.69, "end": 2796.95, "word": " بقى", "probability": 0.463134765625}, {"start": 2796.95, "end": 2797.53, "word": " قصتنا", "probability": 0.82757568359375}, {"start": 2797.53, "end": 2797.97, "word": " صارت", "probability": 0.9075520833333334}, {"start": 2797.97, "end": 2798.63, "word": " بسيطة", "probability": 0.98759765625}, {"start": 2798.63, "end": 2799.49, "word": " يبقى", "probability": 0.936767578125}, {"start": 2799.49, "end": 2799.77, "word": " هذا", "probability": 0.9423828125}, {"start": 2799.77, "end": 2800.33, "word": " الكلام", "probability": 0.9571940104166666}, {"start": 2800.33, "end": 2800.81, "word": " بده", "probability": 0.6165771484375}, {"start": 2800.81, "end": 2801.63, "word": " يساوي", "probability": 0.9776611328125}, {"start": 2801.63, "end": 2802.81, "word": " limit", "probability": 0.8369140625}, {"start": 2802.81, "end": 2803.29, "word": " لما", "probability": 0.9189453125}, {"start": 2803.29, "end": 2803.53, "word": " ال", "probability": 0.97216796875}, {"start": 2803.53, "end": 2803.77, "word": " N", "probability": 0.349365234375}, {"start": 2803.77, "end": 2804.19, "word": " tends", "probability": 0.6650390625}, {"start": 2804.19, "end": 2804.43, "word": " to", "probability": 0.86572265625}, {"start": 2804.43, "end": 2804.99, "word": " infinity", "probability": 0.833984375}, {"start": 2804.99, "end": 2805.29, "word": " ل", "probability": 0.69287109375}, {"start": 2805.29, "end": 2806.39, "word": " 2N", "probability": 0.469970703125}, {"start": 2806.39, "end": 2806.95, "word": " زائد", "probability": 0.6837565104166666}, {"start": 2806.95, "end": 2807.37, "word": " 1", "probability": 0.775390625}, {"start": 2807.37, "end": 2808.13, "word": " على", "probability": 0.58837890625}, {"start": 2808.13, "end": 2809.11, "word": " 2N", "probability": 0.929931640625}, {"start": 2809.11, "end": 2810.03, "word": " زائد", "probability": 0.8689778645833334}, {"start": 2810.03, "end": 2810.73, "word": " 2", "probability": 0.98681640625}, {"start": 2810.73, "end": 2811.33, "word": " في", "probability": 0.51953125}, {"start": 2811.33, "end": 2811.89, "word": " limit", "probability": 0.97998046875}, {"start": 2811.89, "end": 2812.31, "word": " لما", "probability": 0.9814453125}, {"start": 2812.31, "end": 2812.53, "word": " ال", "probability": 0.9375}, {"start": 2812.53, "end": 2812.77, "word": " N", "probability": 0.97607421875}, {"start": 2812.77, "end": 2813.17, "word": " tends", "probability": 0.794921875}, {"start": 2813.17, "end": 2813.43, "word": " to", "probability": 0.9580078125}, {"start": 2813.43, "end": 2814.05, "word": " infinity", "probability": 0.89892578125}, {"start": 2814.05, "end": 2814.77, "word": " ل", "probability": 0.98193359375}, {"start": 2814.77, "end": 2815.31, "word": " 3", "probability": 0.66845703125}, {"start": 2815.31, "end": 2815.69, "word": " أس", "probability": 0.511962890625}, {"start": 2815.69, "end": 2816.01, "word": " N", "probability": 0.94189453125}, {"start": 2816.01, "end": 2816.53, "word": " زائد", "probability": 0.9401041666666666}, {"start": 2816.53, "end": 2816.89, "word": " 1", "probability": 0.97119140625}, {"start": 2816.89, "end": 2817.29, "word": " 3", "probability": 0.50439453125}, {"start": 2817.29, "end": 2817.91, "word": " أس", "probability": 0.97802734375}, {"start": 2817.91, "end": 2818.21, "word": " N", "probability": 0.95849609375}, {"start": 2818.21, "end": 2818.73, "word": " زائد", "probability": 0.9759114583333334}, {"start": 2818.73, "end": 2819.27, "word": " 1", "probability": 0.97802734375}, {"start": 2819.27, "end": 2820.19, "word": " زائد", "probability": 0.9466145833333334}, {"start": 2820.19, "end": 2820.55, "word": " 1", "probability": 0.984375}, {"start": 2820.55, "end": 2822.45, "word": " ايش", "probability": 0.6643473307291666}, {"start": 2822.45, "end": 2822.79, "word": " رأيك", "probability": 0.85009765625}, {"start": 2822.79, "end": 2822.89, "word": " في", "probability": 0.9072265625}, {"start": 2822.89, "end": 2822.97, "word": " ال", "probability": 0.8857421875}, {"start": 2822.97, "end": 2823.19, "word": " limit", "probability": 0.76513671875}, {"start": 2823.19, "end": 2823.47, "word": " هذه", "probability": 0.310302734375}, {"start": 2823.47, "end": 2824.19, "word": " كلها؟", "probability": 0.95556640625}], "temperature": 1.0}, {"id": 117, "seek": 285275, "start": 2834.19, "end": 2852.75, "text": "بقى limit اللي عندنا هذه limit tends to infinity هذه بتجيب لي ملأ نهاية على ملأ ان اشتق ال bus على مشتقت اتنين مقام مش هنخلص لكن بقدر اجسم كل من ال bus والمقام ع تلاتة أسن زائد واحد", "tokens": [3555, 4587, 7578, 4948, 13672, 1829, 43242, 8315, 29538, 4948, 12258, 281, 13202, 29538, 39894, 7435, 1829, 3555, 32239, 3714, 1211, 10721, 8717, 11296, 10632, 15844, 3714, 1211, 10721, 16472, 1975, 8592, 2655, 4587, 2423, 1255, 15844, 37893, 2655, 38149, 1975, 2655, 1863, 9957, 3714, 4587, 10943, 37893, 8032, 1863, 9778, 1211, 9381, 44381, 4724, 28543, 2288, 1975, 7435, 38251, 28242, 9154, 2423, 1255, 16070, 2304, 4587, 10943, 6225, 6055, 1211, 9307, 3660, 5551, 3794, 1863, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.37957316528006296, "compression_ratio": 1.5837837837837838, "no_speech_prob": 0.0, "words": [{"start": 2834.1899999999996, "end": 2834.99, "word": "بقى", "probability": 0.4346923828125}, {"start": 2834.99, "end": 2835.79, "word": " limit", "probability": 0.1923828125}, {"start": 2835.79, "end": 2836.17, "word": " اللي", "probability": 0.601806640625}, {"start": 2836.17, "end": 2836.71, "word": " عندنا", "probability": 0.872314453125}, {"start": 2836.71, "end": 2837.21, "word": " هذه", "probability": 0.1304931640625}, {"start": 2837.21, "end": 2838.11, "word": " limit", "probability": 0.7060546875}, {"start": 2838.11, "end": 2838.79, "word": " tends", "probability": 0.19482421875}, {"start": 2838.79, "end": 2839.03, "word": " to", "probability": 0.94287109375}, {"start": 2839.03, "end": 2839.65, "word": " infinity", "probability": 0.85107421875}, {"start": 2839.65, "end": 2840.49, "word": " هذه", "probability": 0.335693359375}, {"start": 2840.49, "end": 2840.91, "word": " بتجيب", "probability": 0.919921875}, {"start": 2840.91, "end": 2841.05, "word": " لي", "probability": 0.288818359375}, {"start": 2841.05, "end": 2841.31, "word": " ملأ", "probability": 0.5996907552083334}, {"start": 2841.31, "end": 2841.73, "word": " نهاية", "probability": 0.9202473958333334}, {"start": 2841.73, "end": 2841.91, "word": " على", "probability": 0.67529296875}, {"start": 2841.91, "end": 2842.19, "word": " ملأ", "probability": 0.73779296875}, {"start": 2842.19, "end": 2842.33, "word": " ان", "probability": 0.450927734375}, {"start": 2842.33, "end": 2842.79, "word": " اشتق", "probability": 0.9100341796875}, {"start": 2842.79, "end": 2842.93, "word": " ال", "probability": 0.33740234375}, {"start": 2842.93, "end": 2843.09, "word": " bus", "probability": 0.75244140625}, {"start": 2843.09, "end": 2843.27, "word": " على", "probability": 0.53564453125}, {"start": 2843.27, "end": 2843.73, "word": " مشتقت", "probability": 0.7301432291666666}, {"start": 2843.73, "end": 2844.01, "word": " اتنين", "probability": 0.58978271484375}, {"start": 2844.01, "end": 2844.33, "word": " مقام", "probability": 0.9803059895833334}, {"start": 2844.33, "end": 2844.55, "word": " مش", "probability": 0.86328125}, {"start": 2844.55, "end": 2845.17, "word": " هنخلص", "probability": 0.9869140625}, {"start": 2845.17, "end": 2845.67, "word": " لكن", "probability": 0.794921875}, {"start": 2845.67, "end": 2846.75, "word": " بقدر", "probability": 0.9651692708333334}, {"start": 2846.75, "end": 2847.07, "word": " اجسم", "probability": 0.67138671875}, {"start": 2847.07, "end": 2847.47, "word": " كل", "probability": 0.9921875}, {"start": 2847.47, "end": 2847.73, "word": " من", "probability": 0.7255859375}, {"start": 2847.73, "end": 2847.93, "word": " ال", "probability": 0.9501953125}, {"start": 2847.93, "end": 2848.23, "word": " bus", "probability": 0.9169921875}, {"start": 2848.23, "end": 2849.75, "word": " والمقام", "probability": 0.864990234375}, {"start": 2849.75, "end": 2850.01, "word": " ع", "probability": 0.357177734375}, {"start": 2850.01, "end": 2850.75, "word": " تلاتة", "probability": 0.9190673828125}, {"start": 2850.75, "end": 2851.43, "word": " أسن", "probability": 0.58154296875}, {"start": 2851.43, "end": 2852.35, "word": " زائد", "probability": 0.773681640625}, {"start": 2852.35, "end": 2852.75, "word": " واحد", "probability": 0.98193359375}], "temperature": 1.0}, {"id": 118, "seek": 287436, "start": 2853.12, "end": 2874.36, "text": "لأكبر قيمة موجودة في المقام يبقى لو جسمت عليها تبقى هنا تلت وهنا تبقى واحد على تلاتة أس ان زائد واحد وهنا واحد زائد واحد على تلاتة أس ان زائد واحد", "tokens": [1211, 10721, 4117, 26890, 12174, 32640, 3660, 3714, 29245, 23328, 3660, 8978, 9673, 4587, 10943, 7251, 3555, 4587, 7578, 45164, 10874, 38251, 2655, 25894, 11296, 6055, 3555, 4587, 7578, 34105, 6055, 1211, 2655, 37037, 8315, 6055, 3555, 4587, 7578, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 5551, 3794, 16472, 30767, 16373, 3215, 36764, 24401, 37037, 8315, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 5551, 3794, 16472, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.21570616960525513, "compression_ratio": 2.062992125984252, "no_speech_prob": 0.0, "words": [{"start": 2853.12, "end": 2853.9, "word": "لأكبر", "probability": 0.715606689453125}, {"start": 2853.9, "end": 2854.3, "word": " قيمة", "probability": 0.9881184895833334}, {"start": 2854.3, "end": 2854.76, "word": " موجودة", "probability": 0.960205078125}, {"start": 2854.76, "end": 2855.66, "word": " في", "probability": 0.830078125}, {"start": 2855.66, "end": 2856.52, "word": " المقام", "probability": 0.92724609375}, {"start": 2856.52, "end": 2857.22, "word": " يبقى", "probability": 0.7869873046875}, {"start": 2857.22, "end": 2857.38, "word": " لو", "probability": 0.5703125}, {"start": 2857.38, "end": 2858.02, "word": " جسمت", "probability": 0.7960611979166666}, {"start": 2858.02, "end": 2858.38, "word": " عليها", "probability": 0.979248046875}, {"start": 2858.38, "end": 2858.82, "word": " تبقى", "probability": 0.71923828125}, {"start": 2858.82, "end": 2859.08, "word": " هنا", "probability": 0.77490234375}, {"start": 2859.08, "end": 2862.14, "word": " تلت", "probability": 0.7745768229166666}, {"start": 2862.14, "end": 2863.1, "word": " وهنا", "probability": 0.57098388671875}, {"start": 2863.1, "end": 2863.56, "word": " تبقى", "probability": 0.880126953125}, {"start": 2863.56, "end": 2864.56, "word": " واحد", "probability": 0.844482421875}, {"start": 2864.56, "end": 2865.08, "word": " على", "probability": 0.63623046875}, {"start": 2865.08, "end": 2865.98, "word": " تلاتة", "probability": 0.9173583984375}, {"start": 2865.98, "end": 2866.28, "word": " أس", "probability": 0.7333984375}, {"start": 2866.28, "end": 2866.7, "word": " ان", "probability": 0.267333984375}, {"start": 2866.7, "end": 2867.42, "word": " زائد", "probability": 0.9073893229166666}, {"start": 2867.42, "end": 2867.94, "word": " واحد", "probability": 0.984375}, {"start": 2867.94, "end": 2868.92, "word": " وهنا", "probability": 0.82080078125}, {"start": 2868.92, "end": 2869.64, "word": " واحد", "probability": 0.9423828125}, {"start": 2869.64, "end": 2870.58, "word": " زائد", "probability": 0.9430338541666666}, {"start": 2870.58, "end": 2871.3, "word": " واحد", "probability": 0.9833984375}, {"start": 2871.3, "end": 2871.68, "word": " على", "probability": 0.8955078125}, {"start": 2871.68, "end": 2872.48, "word": " تلاتة", "probability": 0.978515625}, {"start": 2872.48, "end": 2872.78, "word": " أس", "probability": 0.9697265625}, {"start": 2872.78, "end": 2873.22, "word": " ان", "probability": 0.8154296875}, {"start": 2873.22, "end": 2873.98, "word": " زائد", "probability": 0.9803059895833334}, {"start": 2873.98, "end": 2874.36, "word": " واحد", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 119, "seek": 290635, "start": 2877.05, "end": 2906.35, "text": "جسمت كل من البصد والمقام على تلاتة أسئلن زائد واحد النتيجة Zero و هنا Zero يبقى جديش عندي تلت على واحد اللي هو جديش والتلت مانه أقل من الواحد الصحيح بروح بقول هنا by the ratio test the series converge", "tokens": [7435, 38251, 2655, 28242, 9154, 29739, 9381, 3215, 16070, 2304, 4587, 10943, 15844, 6055, 1211, 9307, 3660, 5551, 3794, 19986, 1211, 1863, 30767, 16373, 3215, 36764, 24401, 28239, 31371, 7435, 3660, 17182, 4032, 34105, 17182, 7251, 3555, 4587, 7578, 10874, 16254, 8592, 18871, 16254, 6055, 1211, 2655, 15844, 36764, 24401, 13672, 1829, 31439, 10874, 16254, 8592, 16070, 2655, 1211, 2655, 3714, 7649, 3224, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 4724, 32887, 5016, 4724, 39648, 34105, 538, 264, 8509, 1500, 264, 2638, 41881], "avg_logprob": -0.2997158955443989, "compression_ratio": 1.6770833333333333, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2877.05, "end": 2878.07, "word": "جسمت", "probability": 0.72705078125}, {"start": 2878.07, "end": 2878.45, "word": " كل", "probability": 0.94091796875}, {"start": 2878.45, "end": 2878.75, "word": " من", "probability": 0.77392578125}, {"start": 2878.75, "end": 2879.23, "word": " البصد", "probability": 0.4859212239583333}, {"start": 2879.23, "end": 2880.13, "word": " والمقام", "probability": 0.84783935546875}, {"start": 2880.13, "end": 2880.45, "word": " على", "probability": 0.8857421875}, {"start": 2880.45, "end": 2881.01, "word": " تلاتة", "probability": 0.842529296875}, {"start": 2881.01, "end": 2881.75, "word": " أسئلن", "probability": 0.52431640625}, {"start": 2881.75, "end": 2882.21, "word": " زائد", "probability": 0.9065755208333334}, {"start": 2882.21, "end": 2882.67, "word": " واحد", "probability": 0.9892578125}, {"start": 2882.67, "end": 2884.07, "word": " النتيجة", "probability": 0.85943603515625}, {"start": 2884.07, "end": 2885.97, "word": " Zero", "probability": 0.22412109375}, {"start": 2885.97, "end": 2886.73, "word": " و", "probability": 0.390869140625}, {"start": 2886.73, "end": 2887.13, "word": " هنا", "probability": 0.59912109375}, {"start": 2887.13, "end": 2887.73, "word": " Zero", "probability": 0.728515625}, {"start": 2887.73, "end": 2888.37, "word": " يبقى", "probability": 0.910888671875}, {"start": 2888.37, "end": 2889.17, "word": " جديش", "probability": 0.5519205729166666}, {"start": 2889.17, "end": 2889.53, "word": " عندي", "probability": 0.683349609375}, {"start": 2889.53, "end": 2890.21, "word": " تلت", "probability": 0.869140625}, {"start": 2890.21, "end": 2890.47, "word": " على", "probability": 0.63232421875}, {"start": 2890.47, "end": 2890.83, "word": " واحد", "probability": 0.97265625}, {"start": 2890.83, "end": 2890.95, "word": " اللي", "probability": 0.7010498046875}, {"start": 2890.95, "end": 2891.07, "word": " هو", "probability": 0.97802734375}, {"start": 2891.07, "end": 2891.85, "word": " جديش", "probability": 0.8175455729166666}, {"start": 2891.85, "end": 2893.11, "word": " والتلت", "probability": 0.7486572265625}, {"start": 2893.11, "end": 2893.75, "word": " مانه", "probability": 0.630859375}, {"start": 2893.75, "end": 2894.79, "word": " أقل", "probability": 0.9090169270833334}, {"start": 2894.79, "end": 2895.01, "word": " من", "probability": 0.99267578125}, {"start": 2895.01, "end": 2895.53, "word": " الواحد", "probability": 0.95166015625}, {"start": 2895.53, "end": 2896.25, "word": " الصحيح", "probability": 0.9830322265625}, {"start": 2896.25, "end": 2896.99, "word": " بروح", "probability": 0.943359375}, {"start": 2896.99, "end": 2897.39, "word": " بقول", "probability": 0.866943359375}, {"start": 2897.39, "end": 2897.83, "word": " هنا", "probability": 0.56787109375}, {"start": 2897.83, "end": 2898.53, "word": " by", "probability": 0.369873046875}, {"start": 2898.53, "end": 2899.63, "word": " the", "probability": 0.90478515625}, {"start": 2899.63, "end": 2901.17, "word": " ratio", "probability": 0.93310546875}, {"start": 2901.17, "end": 2902.51, "word": " test", "probability": 0.876953125}, {"start": 2902.51, "end": 2903.43, "word": " the", "probability": 0.75830078125}, {"start": 2903.43, "end": 2905.07, "word": " series", "probability": 0.93359375}, {"start": 2905.07, "end": 2906.35, "word": " converge", "probability": 0.916015625}], "temperature": 1.0}, {"id": 120, "seek": 291830, "start": 2909.56, "end": 2918.3, "text": "طيب، هذا يا واحد ماعجبوش الحل هذا، نفس السؤال، بديش أعطيه حاجة جديدة، بدي أعطيك فكرة تانية، بداكش بلاش", "tokens": [9566, 1829, 3555, 12399, 23758, 35186, 36764, 24401, 19446, 3615, 7435, 3555, 2407, 8592, 21542, 1211, 23758, 12399, 8717, 36178, 21136, 33604, 6027, 12399, 4724, 16254, 8592, 5551, 3615, 9566, 1829, 3224, 11331, 26108, 3660, 10874, 16254, 41891, 12399, 4724, 16254, 5551, 3615, 9566, 1829, 4117, 6156, 4117, 25720, 6055, 7649, 10632, 12399, 4724, 28259, 4117, 8592, 4724, 1211, 33599], "avg_logprob": -0.2064549190099122, "compression_ratio": 1.5245901639344261, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 2909.56, "end": 2910.36, "word": "طيب،", "probability": 0.822998046875}, {"start": 2910.36, "end": 2910.64, "word": " هذا", "probability": 0.11102294921875}, {"start": 2910.64, "end": 2910.8, "word": " يا", "probability": 0.53759765625}, {"start": 2910.8, "end": 2911.04, "word": " واحد", "probability": 0.99072265625}, {"start": 2911.04, "end": 2911.56, "word": " ماعجبوش", "probability": 0.8743896484375}, {"start": 2911.56, "end": 2912.02, "word": " الحل", "probability": 0.963134765625}, {"start": 2912.02, "end": 2913.46, "word": " هذا،", "probability": 0.6138916015625}, {"start": 2913.46, "end": 2914.1, "word": " نفس", "probability": 0.989013671875}, {"start": 2914.1, "end": 2914.62, "word": " السؤال،", "probability": 0.9072265625}, {"start": 2914.62, "end": 2914.94, "word": " بديش", "probability": 0.7842610677083334}, {"start": 2914.94, "end": 2915.24, "word": " أعطيه", "probability": 0.830712890625}, {"start": 2915.24, "end": 2915.74, "word": " حاجة", "probability": 0.8291015625}, {"start": 2915.74, "end": 2916.22, "word": " جديدة،", "probability": 0.954345703125}, {"start": 2916.22, "end": 2916.38, "word": " بدي", "probability": 0.8388671875}, {"start": 2916.38, "end": 2916.68, "word": " أعطيك", "probability": 0.9826171875}, {"start": 2916.68, "end": 2917.08, "word": " فكرة", "probability": 0.9939778645833334}, {"start": 2917.08, "end": 2917.44, "word": " تانية،", "probability": 0.974609375}, {"start": 2917.44, "end": 2917.78, "word": " بداكش", "probability": 0.71234130859375}, {"start": 2917.78, "end": 2918.3, "word": " بلاش", "probability": 0.9544270833333334}], "temperature": 1.0}, {"id": 121, "seek": 294195, "start": 2920.57, "end": 2941.95, "text": "هذه واحد تاني قال لي انا بدي افكر في السؤال بال comparison test قلنا له كيف؟ قال لي هي الحد 1 3 5 2 N ناقص 1 2 4 6 2 N 3 أس N زيد 1", "tokens": [3224, 24192, 36764, 24401, 6055, 7649, 1829, 50239, 32239, 1975, 8315, 4724, 16254, 1975, 5172, 37983, 8978, 21136, 33604, 6027, 20666, 9660, 1500, 12174, 1211, 8315, 46740, 9122, 33911, 22807, 50239, 32239, 39896, 21542, 3215, 502, 805, 1025, 568, 426, 8717, 995, 4587, 9381, 502, 568, 1017, 1386, 568, 426, 805, 5551, 3794, 426, 30767, 1829, 3215, 502], "avg_logprob": -0.2629766908742614, "compression_ratio": 1.3655172413793104, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2920.57, "end": 2920.95, "word": "هذه", "probability": 0.28656005859375}, {"start": 2920.95, "end": 2921.35, "word": " واحد", "probability": 0.858642578125}, {"start": 2921.35, "end": 2922.17, "word": " تاني", "probability": 0.8719075520833334}, {"start": 2922.17, "end": 2922.63, "word": " قال", "probability": 0.82470703125}, {"start": 2922.63, "end": 2922.79, "word": " لي", "probability": 0.50830078125}, {"start": 2922.79, "end": 2923.09, "word": " انا", "probability": 0.700439453125}, {"start": 2923.09, "end": 2923.47, "word": " بدي", "probability": 0.81591796875}, {"start": 2923.47, "end": 2924.07, "word": " افكر", "probability": 0.958984375}, {"start": 2924.07, "end": 2924.27, "word": " في", "probability": 0.9072265625}, {"start": 2924.27, "end": 2925.21, "word": " السؤال", "probability": 0.9925130208333334}, {"start": 2925.21, "end": 2925.95, "word": " بال", "probability": 0.95654296875}, {"start": 2925.95, "end": 2926.69, "word": " comparison", "probability": 0.8486328125}, {"start": 2926.69, "end": 2927.39, "word": " test", "probability": 0.93896484375}, {"start": 2927.39, "end": 2927.91, "word": " قلنا", "probability": 0.731201171875}, {"start": 2927.91, "end": 2928.11, "word": " له", "probability": 0.73388671875}, {"start": 2928.11, "end": 2928.85, "word": " كيف؟", "probability": 0.8455403645833334}, {"start": 2928.85, "end": 2929.19, "word": " قال", "probability": 0.90234375}, {"start": 2929.19, "end": 2929.31, "word": " لي", "probability": 0.791015625}, {"start": 2929.31, "end": 2929.55, "word": " هي", "probability": 0.56201171875}, {"start": 2929.55, "end": 2930.17, "word": " الحد", "probability": 0.894287109375}, {"start": 2930.17, "end": 2930.71, "word": " 1", "probability": 0.362060546875}, {"start": 2930.71, "end": 2931.49, "word": " 3", "probability": 0.75048828125}, {"start": 2931.49, "end": 2932.23, "word": " 5", "probability": 0.9794921875}, {"start": 2932.23, "end": 2933.21, "word": " 2", "probability": 0.8583984375}, {"start": 2933.21, "end": 2933.73, "word": " N", "probability": 0.544921875}, {"start": 2933.73, "end": 2934.31, "word": " ناقص", "probability": 0.74212646484375}, {"start": 2934.31, "end": 2934.75, "word": " 1", "probability": 0.80517578125}, {"start": 2934.75, "end": 2935.73, "word": " 2", "probability": 0.953125}, {"start": 2935.73, "end": 2936.61, "word": " 4", "probability": 0.99365234375}, {"start": 2936.61, "end": 2937.45, "word": " 6", "probability": 0.9951171875}, {"start": 2937.45, "end": 2938.63, "word": " 2", "probability": 0.98583984375}, {"start": 2938.63, "end": 2939.45, "word": " N", "probability": 0.6953125}, {"start": 2939.45, "end": 2940.23, "word": " 3", "probability": 0.91845703125}, {"start": 2940.23, "end": 2940.63, "word": " أس", "probability": 0.669921875}, {"start": 2940.63, "end": 2941.07, "word": " N", "probability": 0.9306640625}, {"start": 2941.07, "end": 2941.63, "word": " زيد", "probability": 0.6180013020833334}, {"start": 2941.63, "end": 2941.95, "word": " 1", "probability": 0.91064453125}], "temperature": 1.0}, {"id": 122, "seek": 297065, "start": 2942.85, "end": 2970.65, "text": "قلت له ايوة قال لي طالع ان ال comparison يبقى اقل منه جينا قال لي خلي المقام زي ما هو هذا اتنين اربعة ستة وضلنا ماشيين لغاية اتنين in وهنا تلاتة in زائد واحد وروح كتبلي هنا اتنين اربعة ستة اتنين in صحيح؟", "tokens": [4587, 1211, 2655, 46740, 1975, 1829, 2407, 3660, 50239, 32239, 23032, 6027, 3615, 16472, 2423, 9660, 7251, 3555, 4587, 7578, 1975, 4587, 1211, 9154, 3224, 10874, 1829, 8315, 50239, 32239, 16490, 20292, 9673, 4587, 10943, 30767, 1829, 19446, 31439, 23758, 1975, 2655, 1863, 9957, 1975, 25513, 27884, 8608, 2655, 3660, 4032, 11242, 1211, 8315, 3714, 33599, 1829, 9957, 5296, 17082, 995, 10632, 1975, 2655, 1863, 9957, 294, 37037, 8315, 6055, 1211, 9307, 3660, 294, 30767, 16373, 3215, 36764, 24401, 4032, 32887, 5016, 9122, 2655, 3555, 20292, 34105, 1975, 2655, 1863, 9957, 1975, 25513, 27884, 8608, 2655, 3660, 1975, 2655, 1863, 9957, 294, 20328, 5016, 1829, 5016, 22807], "avg_logprob": -0.2152777741904612, "compression_ratio": 1.8125, "no_speech_prob": 0.0, "words": [{"start": 2942.85, "end": 2943.27, "word": "قلت", "probability": 0.7705078125}, {"start": 2943.27, "end": 2943.39, "word": " له", "probability": 0.7314453125}, {"start": 2943.39, "end": 2943.77, "word": " ايوة", "probability": 0.69122314453125}, {"start": 2943.77, "end": 2944.51, "word": " قال", "probability": 0.4853515625}, {"start": 2944.51, "end": 2944.77, "word": " لي", "probability": 0.7529296875}, {"start": 2944.77, "end": 2945.35, "word": " طالع", "probability": 0.4554443359375}, {"start": 2945.35, "end": 2945.57, "word": " ان", "probability": 0.4892578125}, {"start": 2945.57, "end": 2945.75, "word": " ال", "probability": 0.373046875}, {"start": 2945.75, "end": 2946.25, "word": " comparison", "probability": 0.408203125}, {"start": 2946.25, "end": 2948.89, "word": " يبقى", "probability": 0.8167724609375}, {"start": 2948.89, "end": 2949.89, "word": " اقل", "probability": 0.8880208333333334}, {"start": 2949.89, "end": 2951.07, "word": " منه", "probability": 0.774658203125}, {"start": 2951.07, "end": 2951.79, "word": " جينا", "probability": 0.7220052083333334}, {"start": 2951.79, "end": 2952.03, "word": " قال", "probability": 0.54541015625}, {"start": 2952.03, "end": 2952.19, "word": " لي", "probability": 0.80615234375}, {"start": 2952.19, "end": 2952.53, "word": " خلي", "probability": 0.683837890625}, {"start": 2952.53, "end": 2953.17, "word": " المقام", "probability": 0.984375}, {"start": 2953.17, "end": 2953.53, "word": " زي", "probability": 0.969482421875}, {"start": 2953.53, "end": 2953.67, "word": " ما", "probability": 0.943359375}, {"start": 2953.67, "end": 2953.83, "word": " هو", "probability": 0.9892578125}, {"start": 2953.83, "end": 2954.23, "word": " هذا", "probability": 0.57177734375}, {"start": 2954.23, "end": 2954.79, "word": " اتنين", "probability": 0.9195556640625}, {"start": 2954.79, "end": 2955.53, "word": " اربعة", "probability": 0.87060546875}, {"start": 2955.53, "end": 2956.37, "word": " ستة", "probability": 0.96484375}, {"start": 2956.37, "end": 2957.35, "word": " وضلنا", "probability": 0.8153076171875}, {"start": 2957.35, "end": 2958.13, "word": " ماشيين", "probability": 0.9306640625}, {"start": 2958.13, "end": 2958.79, "word": " لغاية", "probability": 0.98291015625}, {"start": 2958.79, "end": 2959.61, "word": " اتنين", "probability": 0.98046875}, {"start": 2959.61, "end": 2959.97, "word": " in", "probability": 0.28173828125}, {"start": 2959.97, "end": 2960.81, "word": " وهنا", "probability": 0.6884765625}, {"start": 2960.81, "end": 2961.69, "word": " تلاتة", "probability": 0.943115234375}, {"start": 2961.69, "end": 2962.09, "word": " in", "probability": 0.9453125}, {"start": 2962.09, "end": 2963.09, "word": " زائد", "probability": 0.9420572916666666}, {"start": 2963.09, "end": 2963.45, "word": " واحد", "probability": 0.98876953125}, {"start": 2963.45, "end": 2963.83, "word": " وروح", "probability": 0.8177083333333334}, {"start": 2963.83, "end": 2964.39, "word": " كتبلي", "probability": 0.85546875}, {"start": 2964.39, "end": 2964.69, "word": " هنا", "probability": 0.779296875}, {"start": 2964.69, "end": 2965.39, "word": " اتنين", "probability": 0.9873046875}, {"start": 2965.39, "end": 2966.09, "word": " اربعة", "probability": 0.9596354166666666}, {"start": 2966.09, "end": 2966.69, "word": " ستة", "probability": 0.986328125}, {"start": 2966.69, "end": 2967.33, "word": " اتنين", "probability": 0.9720458984375}, {"start": 2967.33, "end": 2967.93, "word": " in", "probability": 0.9580078125}, {"start": 2967.93, "end": 2970.65, "word": " صحيح؟", "probability": 0.8697265625}], "temperature": 1.0}, {"id": 123, "seek": 299445, "start": 2974.43, "end": 2994.45, "text": "بظبط؟ المقام ثابت، الواحد كتب بدالها اتنين، التلاتة كتب بدالها اربعة، الخمسة كتب بدالها ستة، اتنين اناقص واحد كتب بدالها اتنين، يبقى البسط اللي عندي اقل من البسط هذا، اذا هذا الكسر اقل من الكسر هذا، قلنا له تمام، قاللي هدول بيختصروا مع هدول", "tokens": [3555, 19913, 3555, 9566, 22807, 9673, 4587, 10943, 38637, 16758, 2655, 12399, 2423, 14407, 24401, 9122, 2655, 3555, 47525, 6027, 11296, 1975, 2655, 1863, 9957, 12399, 16712, 1211, 9307, 3660, 9122, 2655, 3555, 47525, 6027, 11296, 1975, 25513, 27884, 12399, 33962, 2304, 3794, 3660, 9122, 2655, 3555, 47525, 6027, 11296, 8608, 2655, 3660, 12399, 1975, 2655, 1863, 9957, 1975, 8315, 4587, 9381, 36764, 24401, 9122, 2655, 3555, 47525, 6027, 11296, 1975, 2655, 1863, 9957, 12399, 7251, 3555, 4587, 7578, 29739, 3794, 9566, 13672, 1829, 18871, 16254, 1975, 4587, 1211, 9154, 29739, 3794, 9566, 23758, 12399, 1975, 15730, 23758, 33251, 3794, 2288, 1975, 4587, 1211, 9154, 33251, 3794, 2288, 23758, 12399, 12174, 1211, 8315, 46740, 46811, 10943, 12399, 50239, 20292, 8032, 3215, 12610, 4724, 1829, 46456, 9381, 2288, 14407, 20449, 8032, 3215, 12610], "avg_logprob": -0.1466165346310551, "compression_ratio": 2.287958115183246, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2974.43, "end": 2975.27, "word": "بظبط؟", "probability": 0.7751953125}, {"start": 2975.27, "end": 2976.11, "word": " المقام", "probability": 0.7493489583333334}, {"start": 2976.11, "end": 2977.51, "word": " ثابت،", "probability": 0.84912109375}, {"start": 2977.51, "end": 2978.15, "word": " الواحد", "probability": 0.9283854166666666}, {"start": 2978.15, "end": 2978.61, "word": " كتب", "probability": 0.9552408854166666}, {"start": 2978.61, "end": 2979.07, "word": " بدالها", "probability": 0.8575846354166666}, {"start": 2979.07, "end": 2979.77, "word": " اتنين،", "probability": 0.9388671875}, {"start": 2979.77, "end": 2980.47, "word": " التلاتة", "probability": 0.899169921875}, {"start": 2980.47, "end": 2980.81, "word": " كتب", "probability": 0.9772135416666666}, {"start": 2980.81, "end": 2981.11, "word": " بدالها", "probability": 0.990234375}, {"start": 2981.11, "end": 2981.63, "word": " اربعة،", "probability": 0.787353515625}, {"start": 2981.63, "end": 2982.21, "word": " الخمسة", "probability": 0.9781494140625}, {"start": 2982.21, "end": 2982.53, "word": " كتب", "probability": 0.9951171875}, {"start": 2982.53, "end": 2982.85, "word": " بدالها", "probability": 0.9939778645833334}, {"start": 2982.85, "end": 2983.33, "word": " ستة،", "probability": 0.922607421875}, {"start": 2983.33, "end": 2983.57, "word": " اتنين", "probability": 0.90625}, {"start": 2983.57, "end": 2984.13, "word": " اناقص", "probability": 0.755035400390625}, {"start": 2984.13, "end": 2984.31, "word": " واحد", "probability": 0.946533203125}, {"start": 2984.31, "end": 2984.55, "word": " كتب", "probability": 0.9825846354166666}, {"start": 2984.55, "end": 2984.81, "word": " بدالها", "probability": 0.9873046875}, {"start": 2984.81, "end": 2985.35, "word": " اتنين،", "probability": 0.860693359375}, {"start": 2985.35, "end": 2986.09, "word": " يبقى", "probability": 0.9290771484375}, {"start": 2986.09, "end": 2986.51, "word": " البسط", "probability": 0.84912109375}, {"start": 2986.51, "end": 2986.71, "word": " اللي", "probability": 0.83203125}, {"start": 2986.71, "end": 2987.05, "word": " عندي", "probability": 0.787841796875}, {"start": 2987.05, "end": 2987.77, "word": " اقل", "probability": 0.8505859375}, {"start": 2987.77, "end": 2987.95, "word": " من", "probability": 0.98388671875}, {"start": 2987.95, "end": 2988.31, "word": " البسط", "probability": 0.978515625}, {"start": 2988.31, "end": 2988.63, "word": " هذا،", "probability": 0.896484375}, {"start": 2988.63, "end": 2988.81, "word": " اذا", "probability": 0.772705078125}, {"start": 2988.81, "end": 2989.09, "word": " هذا", "probability": 0.9208984375}, {"start": 2989.09, "end": 2989.51, "word": " الكسر", "probability": 0.888671875}, {"start": 2989.51, "end": 2989.87, "word": " اقل", "probability": 0.9454752604166666}, {"start": 2989.87, "end": 2990.01, "word": " من", "probability": 0.99365234375}, {"start": 2990.01, "end": 2990.45, "word": " الكسر", "probability": 0.9503580729166666}, {"start": 2990.45, "end": 2990.71, "word": " هذا،", "probability": 0.88818359375}, {"start": 2990.71, "end": 2990.97, "word": " قلنا", "probability": 0.7630208333333334}, {"start": 2990.97, "end": 2991.15, "word": " له", "probability": 0.736328125}, {"start": 2991.15, "end": 2992.19, "word": " تمام،", "probability": 0.8741861979166666}, {"start": 2992.19, "end": 2992.69, "word": " قاللي", "probability": 0.5731201171875}, {"start": 2992.69, "end": 2993.13, "word": " هدول", "probability": 0.869140625}, {"start": 2993.13, "end": 2993.83, "word": " بيختصروا", "probability": 0.8990885416666666}, {"start": 2993.83, "end": 2993.97, "word": " مع", "probability": 0.98779296875}, {"start": 2993.97, "end": 2994.45, "word": " هدول", "probability": 0.9947916666666666}], "temperature": 1.0}, {"id": 124, "seek": 301361, "start": 2995.21, "end": 3013.61, "text": "يبقى الناتج كم؟ واحد على تلاتة أس N زائد واحد جالي هذا كمان أقل من واحد على تلاتة أس N قلنا له مظبوط يبقى هذا تلت أس N مين هي هذه؟ Geometric", "tokens": [1829, 3555, 4587, 7578, 2423, 8315, 2655, 7435, 9122, 2304, 22807, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 5551, 3794, 426, 30767, 16373, 3215, 36764, 24401, 10874, 6027, 1829, 23758, 9122, 2304, 7649, 5551, 4587, 1211, 9154, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 5551, 3794, 426, 12174, 1211, 8315, 46740, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 23758, 6055, 1211, 2655, 5551, 3794, 426, 3714, 9957, 39896, 29538, 22807, 2876, 29470], "avg_logprob": -0.2720833420753479, "compression_ratio": 1.6122448979591837, "no_speech_prob": 0.0, "words": [{"start": 2995.21, "end": 2995.61, "word": "يبقى", "probability": 0.66253662109375}, {"start": 2995.61, "end": 2996.09, "word": " الناتج", "probability": 0.68804931640625}, {"start": 2996.09, "end": 2996.97, "word": " كم؟", "probability": 0.5743815104166666}, {"start": 2996.97, "end": 2997.91, "word": " واحد", "probability": 0.814697265625}, {"start": 2997.91, "end": 2998.29, "word": " على", "probability": 0.60595703125}, {"start": 2998.29, "end": 2999.03, "word": " تلاتة", "probability": 0.9556884765625}, {"start": 2999.03, "end": 2999.29, "word": " أس", "probability": 0.697265625}, {"start": 2999.29, "end": 2999.65, "word": " N", "probability": 0.257568359375}, {"start": 2999.65, "end": 3000.31, "word": " زائد", "probability": 0.912109375}, {"start": 3000.31, "end": 3000.75, "word": " واحد", "probability": 0.985595703125}, {"start": 3000.75, "end": 3001.71, "word": " جالي", "probability": 0.6668701171875}, {"start": 3001.71, "end": 3001.97, "word": " هذا", "probability": 0.88720703125}, {"start": 3001.97, "end": 3002.39, "word": " كمان", "probability": 0.7701009114583334}, {"start": 3002.39, "end": 3002.83, "word": " أقل", "probability": 0.85986328125}, {"start": 3002.83, "end": 3003.01, "word": " من", "probability": 0.9951171875}, {"start": 3003.01, "end": 3003.47, "word": " واحد", "probability": 0.9873046875}, {"start": 3003.47, "end": 3003.67, "word": " على", "probability": 0.587890625}, {"start": 3003.67, "end": 3004.21, "word": " تلاتة", "probability": 0.98095703125}, {"start": 3004.21, "end": 3004.53, "word": " أس", "probability": 0.988037109375}, {"start": 3004.53, "end": 3004.97, "word": " N", "probability": 0.98291015625}, {"start": 3004.97, "end": 3005.99, "word": " قلنا", "probability": 0.6946614583333334}, {"start": 3005.99, "end": 3006.15, "word": " له", "probability": 0.59814453125}, {"start": 3006.15, "end": 3006.77, "word": " مظبوط", "probability": 0.93544921875}, {"start": 3006.77, "end": 3007.63, "word": " يبقى", "probability": 0.916015625}, {"start": 3007.63, "end": 3008.03, "word": " هذا", "probability": 0.9365234375}, {"start": 3008.03, "end": 3009.01, "word": " تلت", "probability": 0.7600911458333334}, {"start": 3009.01, "end": 3009.51, "word": " أس", "probability": 0.9853515625}, {"start": 3009.51, "end": 3009.95, "word": " N", "probability": 0.94873046875}, {"start": 3009.95, "end": 3011.43, "word": " مين", "probability": 0.7626953125}, {"start": 3011.43, "end": 3011.57, "word": " هي", "probability": 0.69384765625}, {"start": 3011.57, "end": 3012.23, "word": " هذه؟", "probability": 0.792236328125}, {"start": 3012.23, "end": 3013.61, "word": " Geometric", "probability": 0.55914306640625}], "temperature": 1.0}, {"id": 125, "seek": 302930, "start": 3014.8, "end": 3029.3, "text": "سيريو convert يبقى هاد ال series لو واحد تعملها بتطلع convert geometric series لإن ال ratio أقل تقل من الواحد الصحيح بال comparison الأصلية مالها convert", "tokens": [3794, 13546, 1829, 2407, 7620, 7251, 3555, 4587, 7578, 8032, 18513, 2423, 2638, 45164, 36764, 24401, 6055, 25957, 1211, 11296, 39894, 9566, 1211, 3615, 7620, 33246, 2638, 5296, 28814, 1863, 2423, 8509, 5551, 4587, 1211, 6055, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 20666, 9660, 16247, 9381, 20292, 3660, 3714, 6027, 11296, 7620], "avg_logprob": -0.4180372890673186, "compression_ratio": 1.4834437086092715, "no_speech_prob": 0.0, "words": [{"start": 3014.8, "end": 3015.34, "word": "سيريو", "probability": 0.4678192138671875}, {"start": 3015.34, "end": 3015.72, "word": " convert", "probability": 0.140869140625}, {"start": 3015.72, "end": 3017.14, "word": " يبقى", "probability": 0.73919677734375}, {"start": 3017.14, "end": 3017.44, "word": " هاد", "probability": 0.28851318359375}, {"start": 3017.44, "end": 3017.6, "word": " ال", "probability": 0.83056640625}, {"start": 3017.6, "end": 3017.96, "word": " series", "probability": 0.342529296875}, {"start": 3017.96, "end": 3018.24, "word": " لو", "probability": 0.82763671875}, {"start": 3018.24, "end": 3018.46, "word": " واحد", "probability": 0.7626953125}, {"start": 3018.46, "end": 3018.9, "word": " تعملها", "probability": 0.662200927734375}, {"start": 3018.9, "end": 3019.54, "word": " بتطلع", "probability": 0.90966796875}, {"start": 3019.54, "end": 3020.14, "word": " convert", "probability": 0.841796875}, {"start": 3020.14, "end": 3021.38, "word": " geometric", "probability": 0.75830078125}, {"start": 3021.38, "end": 3021.96, "word": " series", "probability": 0.818359375}, {"start": 3021.96, "end": 3022.36, "word": " لإن", "probability": 0.739501953125}, {"start": 3022.36, "end": 3022.48, "word": " ال", "probability": 0.33056640625}, {"start": 3022.48, "end": 3022.82, "word": " ratio", "probability": 0.98046875}, {"start": 3022.82, "end": 3023.6, "word": " أقل", "probability": 0.73095703125}, {"start": 3023.6, "end": 3024.08, "word": " تقل", "probability": 0.9138997395833334}, {"start": 3024.08, "end": 3024.22, "word": " من", "probability": 0.36376953125}, {"start": 3024.22, "end": 3024.54, "word": " الواحد", "probability": 0.8777669270833334}, {"start": 3024.54, "end": 3025.34, "word": " الصحيح", "probability": 0.9423828125}, {"start": 3025.34, "end": 3025.76, "word": " بال", "probability": 0.90576171875}, {"start": 3025.76, "end": 3026.7, "word": " comparison", "probability": 0.89453125}, {"start": 3026.7, "end": 3028.0, "word": " الأصلية", "probability": 0.6842041015625}, {"start": 3028.0, "end": 3028.44, "word": " مالها", "probability": 0.7954915364583334}, {"start": 3028.44, "end": 3029.3, "word": " convert", "probability": 0.88525390625}], "temperature": 1.0}, {"id": 126, "seek": 305558, "start": 3049.52, "end": 3055.58, "text": "يعني يمكن للسؤال ان يحل بعدة اختبارات", "tokens": [40228, 22653, 7251, 43020, 24976, 3794, 33604, 6027, 16472, 7251, 5016, 1211, 4724, 22488, 3660, 1975, 46456, 3555, 9640, 9307], "avg_logprob": -0.28571429706755136, "compression_ratio": 1.0303030303030303, "no_speech_prob": 0.0, "words": [{"start": 3049.52, "end": 3050.92, "word": "يعني", "probability": 0.5081787109375}, {"start": 3050.92, "end": 3051.46, "word": " يمكن", "probability": 0.918212890625}, {"start": 3051.46, "end": 3052.2, "word": " للسؤال", "probability": 0.8538818359375}, {"start": 3052.2, "end": 3052.4, "word": " ان", "probability": 0.499267578125}, {"start": 3052.4, "end": 3052.94, "word": " يحل", "probability": 0.9775390625}, {"start": 3052.94, "end": 3053.82, "word": " بعدة", "probability": 0.7786458333333334}, {"start": 3053.82, "end": 3055.58, "word": " اختبارات", "probability": 0.979296875}], "temperature": 1.0}, {"id": 127, "seek": 306035, "start": 3057.55, "end": 3060.35, "text": "الاختبار المناسب مرة جاي نكمل ان شاء الله", "tokens": [6027, 47283, 2655, 3555, 9640, 9673, 8315, 35457, 3714, 25720, 10874, 47302, 8717, 24793, 1211, 16472, 13412, 16606, 21984], "avg_logprob": -0.20800781175494193, "compression_ratio": 1.0869565217391304, "no_speech_prob": 0.0, "words": [{"start": 3057.55, "end": 3058.17, "word": "الاختبار", "probability": 0.88955078125}, {"start": 3058.17, "end": 3058.79, "word": " المناسب", "probability": 0.9860026041666666}, {"start": 3058.79, "end": 3059.15, "word": " مرة", "probability": 0.7861328125}, {"start": 3059.15, "end": 3059.37, "word": " جاي", "probability": 0.493896484375}, {"start": 3059.37, "end": 3059.85, "word": " نكمل", "probability": 0.7706705729166666}, {"start": 3059.85, "end": 3059.97, "word": " ان", "probability": 0.84521484375}, {"start": 3059.97, "end": 3060.23, "word": " شاء", "probability": 0.968994140625}, {"start": 3060.23, "end": 3060.35, "word": " الله", "probability": 0.96240234375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3060.692, "duration_after_vad": 2867.022843749991}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/QRb1qDFVP30.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/QRb1qDFVP30.srt
new file mode 100644
index 0000000000000000000000000000000000000000..acd237217d6c3b24562d814c90b37c29595362ac
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/QRb1qDFVP30.srt
@@ -0,0 +1,1815 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:11,020 --> 00:00:15,020
+بسم الله الرحمن الرحيم نكمل ما ابتدأنا فيه في
+
+3
+00:00:15,020 --> 00:00:18,980
+المرة الماضية المرة الماضية كنا بنتكلم على آخر 
+
+4
+00:00:18,980 --> 00:00:23,680
+اختبارين اللي هم اختبار ال ratio test واختبار ال root 
+
+5
+00:00:23,680 --> 00:00:28,880
+test قلنا بالنسبة ل ratio test بنجيب الحد 
+
+6
+00:00:28,880 --> 00:00:31,720
+النوني زائد واحد على الحد النوني وبناخد ال limit
+
+7
+00:00:31,720 --> 00:00:36,580
+لما ال n بتروح لـ ما لا نهاية الناتج بسميه رو
+
+8
+00:00:36,580 --> 00:00:40,060
+إذا رو كانت أقل من الواحد الصحيح يبقى series
+
+9
+00:00:40,060 --> 00:00:44,160
+converges إذا رو أكبر من الواحد الصحيح أو تساوي
+
+10
+00:00:44,160 --> 00:00:49,280
+infinity يبقى diverges إذا رو تساوي واحد صحيح الاختبار
+
+11
+00:00:49,280 --> 00:00:54,740
+بيفشل ثم اختبار ال root test اختبار الجذر النوني
+
+12
+00:00:55,030 --> 00:00:59,930
+بناخد الجذر النوني للحد النوني لل series وبناخد ال
+
+13
+00:00:59,930 --> 00:01:02,870
+limit هذه وبنسميها رو إذا رو أقل من واحد
+
+14
+00:01:02,870 --> 00:01:06,050
+صحيح the series converges  وإذا أكبر من واحد صحيح
+
+15
+00:01:06,050 --> 00:01:09,970
+أو infinite diverges واذا تساوي واحد الاختبار بيفشل
+
+16
+00:01:09,970 --> 00:01:14,730
+بتروح تدور لك على أي اختبار يحل المسألة اللي عندك
+
+17
+00:01:14,730 --> 00:01:20,070
+أخدنا على ذلك المرة الماضية سبعة أمثلة تمام المرة
+
+18
+00:01:20,070 --> 00:01:24,220
+هذه بنكمل هذه الأمثلة لكن المرة هذه الأمثلة  أكثر
+
+19
+00:01:24,220 --> 00:01:28,760
+من المرة الماضية وهنشوف كل مثال بفكرة شكل مش
+
+20
+00:01:28,760 --> 00:01:34,700
+هنحاول نغطي الفكرة اللي موجودة في التمارين بيقول ال
+
+21
+00:01:34,700 --> 00:01:39,440
+summation لل N factorial لإن ال N على N في N زائد
+
+22
+00:01:39,440 --> 00:01:43,360
+اتنين نشوف هل هذه ال series converge والله
+
+23
+00:01:43,360 --> 00:01:49,080
+بي converge بطلع بلاقي فيها ال N factorial يبقى
+
+24
+00:01:49,080 --> 00:01:53,260
+أفضل اختبار في الاتنين هو اختبار النسبة وال ratio
+
+25
+00:01:53,260 --> 00:01:59,620
+test يبقى باجي بقوله بدي اخد رو تساوي ال limit
+
+26
+00:01:59,620 --> 00:02:06,120
+لما ال n تروح لـ ما لا نهاية للحد النوني زائد واحد على الحد
+
+27
+00:02:06,120 --> 00:02:14,530
+النوني يبقى limit لما ال N tends to infinity يبقى N
+
+28
+00:02:14,530 --> 00:02:24,250
+زائد واحد factorial لإن ال N زائد واحد كله على N
+
+29
+00:02:24,250 --> 00:02:31,430
+زائد واحد مضروب في N زائد واحد زائد اثنين
+
+30
+00:02:31,430 --> 00:02:38,430
+factorial كله بدأج اسمه على N factorial لإن ال N
+
+31
+00:02:38,430 --> 00:02:48,390
+على N في N زائد اثنين factorial هذا الكلام يساوي
+
+32
+00:02:48,390 --> 00:02:55,150
+limit لما ال N tends to infinity لمين؟ لل N plus
+
+33
+00:02:55,150 --> 00:03:00,330
+one في ال N factorial هذا اللي ما عنديش fact له
+
+34
+00:03:00,330 --> 00:03:07,990
+بيبقى كما هو هذا اللي هو N زائد واحد كما هي وهذا هو
+
+35
+00:03:07,990 --> 00:03:14,570
+N زائد ثلاثة إذا بقدر أفكر اللي هو N زائد ثلاثة في
+
+36
+00:03:14,570 --> 00:03:21,230
+مين؟ في N زائد اثنين factorial القسم بحولها إلى
+
+37
+00:03:21,230 --> 00:03:27,890
+ضرب وبنجلب البسط مقام ومقام بص N زائد اثنين
+
+38
+00:03:27,890 --> 00:03:36,740
+factorial كله على N factorial في لن ال N يساوي
+
+39
+00:03:36,740 --> 00:03:41,850
+limit لما ال n tends to infinity يعني اختصار
+
+40
+00:03:41,850 --> 00:03:47,390
+الاختصارات الجث هذا مع الجث هذا مع السلامة ال N
+
+41
+00:03:47,390 --> 00:03:52,370
+factorial مع ال N factorial الحلو ال N زائد اثنين
+
+42
+00:03:52,370 --> 00:03:57,650
+factorial مع ال N زائد اثنين factorial يبقى آلة
+
+43
+00:03:57,650 --> 00:04:03,910
+المسألة إلى N على N زائد ثلاثة في limit لما ال N
+
+44
+00:04:03,910 --> 00:04:12,170
+tends to infinity لمن؟ لن الان زائد واحد على لن الان
+
+45
+00:04:12,170 --> 00:04:19,310
+بعد الاختصارات n على n زائد ثلاثة مضروب في لن
+
+46
+00:04:19,310 --> 00:04:25,250
+الان زائد واحد على لن الان بنحسب ال limit الأولى ال
+
+47
+00:04:25,250 --> 00:04:30,410
+limit اللي هي أولى هدف جدراش كلها بواحد صحيح طبقا
+
+48
+00:04:30,410 --> 00:04:34,710
+لقاعدة L'Hôpital's rule الهدف infinity على infinity يبقى
+
+49
+00:04:34,710 --> 00:04:39,870
+مشتقة البسط على مشتقة المقام يبقى limit لما ال n
+
+50
+00:04:39,870 --> 00:04:44,830
+tends to infinity للواحد على n زائد واحد واحد على
+
+51
+00:04:44,830 --> 00:04:51,010
+n يبقى limit لما ال n tends to infinity لل n على n
+
+52
+00:04:51,010 --> 00:04:57,290
+زائد واحد تساوي جدراش إيش رأيك في الاختبار؟ فشل،
+
+53
+00:04:57,290 --> 00:05:00,690
+يبقى هنا باجي بقول السا ذا
+
+54
+00:05:09,430 --> 00:05:16,290
+ما حسمش المثال أو في فشل الاختبار يبقى تروح تدور لك
+
+55
+00:05:16,290 --> 00:05:22,050
+على أي شغلة ثانية بحيث المثال هذه تحكم عليها هل هي
+
+56
+00:05:22,050 --> 00:05:28,390
+converge أو diverge بعدين أطلع لمين؟ للمثلة بدي أعرف
+
+57
+00:05:28,390 --> 00:05:31,650
+هالمثلة convergence or divergence بدي ارجع لمين؟ لمن
+
+58
+00:05:31,650 --> 00:05:37,290
+أرجع لرأس المثلة بلاحظ في عندي factorial في البسط
+
+59
+00:05:37,290 --> 00:05:41,850
+وفي factorial في المقام بقدر أوصل factorial في
+
+60
+00:05:41,850 --> 00:05:46,380
+المقام لـ factorial بتابع البسط وبالتالي بحط المسألة
+
+61
+00:05:46,380 --> 00:05:52,240
+في شكل جديد يبقى باجي بقول المسألة أصلا هيها ال
+
+62
+00:05:52,240 --> 00:05:57,980
+summation من n equal one to infinity لل n
+
+63
+00:05:57,980 --> 00:06:05,360
+factorial لإن ال n على مين؟ على n في n زائد اثنين
+
+64
+00:06:05,360 --> 00:06:11,400
+في n زائد واحد في n factorial بالشكل اللي إنها ده
+
+65
+00:06:12,360 --> 00:06:16,740
+لو اختصرنا بروح ال N factorial مع ال N factorial
+
+66
+00:06:16,740 --> 00:06:23,520
+يبقى صارت المسألة كإنها summation لإن ال N على N
+
+67
+00:06:23,520 --> 00:06:28,880
+زائد واحد في N زائد اثنين بالشكل اللي عندنا هذا
+
+68
+00:06:30,670 --> 00:06:34,870
+الآن بدي أشوف هل ال series هذي converge ولا
+
+69
+00:06:34,870 --> 00:06:41,810
+diverge بقوله بسيطة احنا عندنا لن ال n على N في N
+
+70
+00:06:41,810 --> 00:06:48,770
+زائد واحد في N زائد اثنين شو علاقتها بـ N على N في
+
+71
+00:06:48,770 --> 00:06:55,330
+N زائد واحد في N زائد اثنين اللي بقوله شو علاقتها
+
+72
+00:06:55,330 --> 00:07:02,120
+بثانية جاله الله أكبر أصغر منه يبقى أقل من هذه تمام
+
+73
+00:07:02,120 --> 00:07:08,400
+طيب من أن أقل منها ممكن نختصر ال N مع ال N ويصير
+
+74
+00:07:08,400 --> 00:07:16,340
+واحد على N زائد واحد في N زائد اثنين شو علاقة هذه
+
+75
+00:07:16,340 --> 00:07:19,060
+بواحد على N في N؟
+
+76
+00:07:22,220 --> 00:07:27,620
+أقل منها لأن مقامها أكبر يبقى هذه أقل من هذه اللي
+
+77
+00:07:27,620 --> 00:07:35,430
+بيساوي واحد على n تربيع بقوله بطولك summation
+
+78
+00:07:35,430 --> 00:07:44,510
+واحد على n تربيع converge p series because n تساوي
+
+79
+00:07:44,510 --> 00:07:50,870
+اثنين أكبر من الواحد الصحيح باجي بقول هنا by
+
+80
+00:07:50,870 --> 00:07:59,950
+the comparison test of the series اللي همين summation
+
+81
+00:07:59,950 --> 00:08:06,730
+لإن ال N على N في N زائد واحد في N زائد اثنين
+
+82
+00:08:06,730 --> 00:08:12,570
+converge إذا بناء على ال ratio test فشل في الحكم
+
+83
+00:08:12,570 --> 00:08:16,970
+على series هل هي converge أو diverge لكن استطعنا
+
+84
+00:08:16,970 --> 00:08:21,370
+نحلها بواسطة تمام بواسطة ال comparison test بعد ما
+
+85
+00:08:21,370 --> 00:08:29,250
+فكينا واختصرنا طيب نيجي ناخد كمان سؤال مثال اثنين
+
+86
+00:08:29,250 --> 00:08:37,930
+بيقول ال summation من n equal one to infinity لل n
+
+87
+00:08:37,930 --> 00:08:44,610
+factorial to the power n على n to the power n
+
+88
+00:08:44,610 --> 00:08:53,190
+تربيع مين؟
+
+89
+00:08:53,190 --> 00:08:55,830
+أخذ الاختبار لهذا الشغل؟ ال ratio 
+
+90
+00:08:59,140 --> 00:09:03,140
+بقدر أخد الجذر النوني للطرفين وبالتالي بيصير الجذر
+
+91
+00:09:03,140 --> 00:09:08,700
+النوني ربما يكون أسهل كتير من مية من ال ratio إذا
+
+92
+00:09:08,700 --> 00:09:14,080
+لو أداجي أخد اختبار الحد النوني root test تساوي ال limit
+
+93
+00:09:14,080 --> 00:09:20,020
+لما n tends to infinity للجذر النوني لل N factorial
+
+94
+00:09:20,020 --> 00:09:27,680
+to the power N على N to the power N تربيع هذا لبعض
+
+95
+00:09:27,680 --> 00:09:33,520
+الاختصارات طبعا الجذر النوني limit لما ال N tends
+
+96
+00:09:33,520 --> 00:09:39,320
+to infinity لل N factorial على N to the power N
+
+97
+00:09:40,010 --> 00:09:44,630
+الجذر النوني يعني إن القوس هذا كله أس واحد على N
+
+98
+00:09:44,630 --> 00:09:50,030
+بيصير واحد على N بطير هنا n تربيع على N بيبقى لها
+
+99
+00:09:50,030 --> 00:09:54,570
+n دي قدراش أس n زي ما أنت شايفك بيبقى لها n دي n
+
+100
+00:09:54,570 --> 00:09:57,650
+أس n طيب كويس
+
+101
+00:10:01,200 --> 00:10:07,960
+n تربيع يعني N في N على واحد على N يعني بيظل نص جدن
+
+102
+00:10:07,960 --> 00:10:15,880
+مش n تربيع عادي تعني N ضرب N مش أس مركب أس n
+
+103
+00:10:15,880 --> 00:10:21,820
+كله تربيع لأن أس بهاله تربيع لو كان أس مركب n
+
+104
+00:10:21,820 --> 00:10:29,110
+أس n كله تربيع يصير n أس 2n مظبوط لكن هذه n أس n
+
+105
+00:10:29,110 --> 00:10:34,850
+تربيع يعني n برب n نقسم على n بصير n to the power
+
+106
+00:10:34,850 --> 00:10:39,830
+n بالشكل اللي عندنا هذا طيب يلا بدنا نحسب هذه
+
+107
+00:10:39,830 --> 00:10:45,930
+ساندوتش ثيرم ساندوتش ثيرم والقوة الكبيرة دي
+
+108
+00:10:45,930 --> 00:10:49,730
+بالساندوتش ثيرم هذه محصورة بين مين ومين؟
+
+109
+00:10:54,870 --> 00:11:02,430
+صفر واحد على n ماشي هذا كلامك العتيق صح؟ لما
+
+110
+00:11:02,430 --> 00:11:05,170
+حاليا زمان ما احنا كنا نعرفش شيء الحين صار نعرفش
+
+111
+00:11:05,170 --> 00:11:10,050
+كتير يبقى احنا بنحلها بغير الحل اللي كان زمان 
+
+112
+00:11:10,050 --> 00:11:15,660
+طبعا؟ تعالى نشوف كيف نستوف ال limit هذه هذه هي
+
+113
+00:11:15,660 --> 00:11:22,080
+تساوي limit لما ال N tends to infinity لمين؟ لل N
+
+114
+00:11:22,080 --> 00:11:27,640
+في N ناقص واحد في N ناقص اثنين في ثلاثة في اثنين
+
+115
+00:11:27,640 --> 00:11:37,140
+في واحد على N في N في N في N في N في N في إيه؟ كم
+
+116
+00:11:37,140 --> 00:11:42,100
+حد اللي في ال bus كدهش عدد هو اللي فات
+
+117
+00:11:44,900 --> 00:11:51,200
+n واللي في المقام n كذلك يبقى عندي n من الحدود
+
+118
+00:11:51,200 --> 00:11:57,830
+لكن لو اختصرت هذه مع بعض شيرة عدد الحدود قداش نقص
+
+119
+00:11:57,830 --> 00:12:00,950
+واحد بينقص واحد لإن اختصرت من ال bus تحد ومن
+
+120
+00:12:00,950 --> 00:12:07,770
+المقام حد يعني كإن المسألة هي ال limit لما ال N
+
+121
+00:12:07,770 --> 00:12:14,170
+تنسى infinity لمن؟ لل N ناقص واحد على N N ناقص
+
+122
+00:12:14,170 --> 00:12:21,950
+اثنين على N ونظل ماشيين لغاية ثلاثة على N اثنين
+
+123
+00:12:21,950 --> 00:12:29,790
+على N واحد على N يعني اعتبرت كل واحد مقسم على N من
+
+124
+00:12:29,790 --> 00:12:34,770
+ال N's اللي موجودة عندي طب شوف ليه شو مقارنتك
+
+125
+00:12:34,770 --> 00:12:42,610
+مع limit لما ال N تنسى infinity لل N ناقص واحد على N
+
+126
+00:12:42,610 --> 00:12:49,830
+N-1 على N  N-1 على N  N-1 
+
+127
+00:12:49,830 --> 00:12:54,770
+على N شوف ليه ال limit الأولى والله التاني يمين
+
+128
+00:12:54,770 --> 00:12:55,730
+اللي أقل
+
+129
+00:12:59,470 --> 00:13:06,410
+طيب؟ التاني أقل من الأولى؟ أكبر لأن ال bus تبعها
+
+130
+00:13:06,410 --> 00:13:11,370
+أكبر من bus هذه يعني أنا ثبت ال bus كله بالنقص
+
+131
+00:13:11,370 --> 00:13:15,810
+واحد لكن هنا ال نقص واحد أجل منه النقص اثنين ال
+
+132
+00:13:15,810 --> 00:13:22,130
+نقص كله أجل منه إذا ال limit هذه أقل من مين؟ من ال
+
+133
+00:13:22,130 --> 00:13:28,610
+limit اللي قلنا هذه صحيح ولا لا؟ هذا الكلام يساوي
+
+134
+00:13:28,610 --> 00:13:35,490
+limit لما ال N تنسى ال infinity كم واحدة هؤلاء؟
+
+135
+00:13:35,490 --> 00:13:43,270
+نقص واحد يبقى هذه N-1 على N to the power N
+
+136
+00:13:43,270 --> 00:13:49,890
+minus ال one اللي بقدر أكتبها limit لما ال N tends
+
+137
+00:13:49,890 --> 00:13:57,850
+to infinity ل 1-1 على N أس N-1
+
+138
+00:14:08,660 --> 00:14:13,380
+ما رأيك هذه لو ضربتها في واحد صحيح 1-1
+
+139
+00:14:13,380 --> 00:14:18,620
+على n 1-1 على n مش ضربتها في واحد صحيح
+
+140
+00:14:18,620 --> 00:14:25,520
+وبالسؤال ليش ضربتها هذا ما سنجيب عليه الآن نبقى
+
+141
+00:14:25,520 --> 00:14:31,960
+هذا limit لما ال n تنسو infinity للواحد ناقص واحد
+
+142
+00:14:31,960 --> 00:14:36,620
+على n to the power n 1-1 على n
+
+143
+00:14:39,680 --> 00:14:43,000
+الله أعظم لعلكم أدركتوا شو السبب قداش limit
+
+144
+00:14:43,000 --> 00:14:50,460
+الباصة E والسالب واحد يبقى E والسالب واحد والمقام
+
+145
+00:14:50,460 --> 00:14:56,180
+واحد يبقى ليش عملت هك؟ مشان أجدركت قد مين؟ بدلالة
+
+146
+00:14:56,180 --> 00:15:00,980
+ال E والسالب واحد من الجدول الرقم خمسة في الجدول
+
+147
+00:15:00,980 --> 00:15:05,500
+تبع ال limits فيبقى هذا بده يساوي 1 على E
+
+148
+00:15:05,500 --> 00:15:10,640
+الواحد على E مالها؟ أكبر من واحد، إذا ال limit اللي
+
+149
+00:15:10,640 --> 00:15:17,800
+عندنا هديها أقل، أقل، ضلت، ماشي، لجت، أقل من
+
+150
+00:15:17,800 --> 00:15:22,120
+الواحد، يبقى ال series converge ولا diverge؟
+
+151
+00:15:22,120 --> 00:15:26,440
+converge، يبقى بروح بضله، الآن
+
+152
+00:15:40,000 --> 00:15:51,620
+يبقى بروح و بقوله by the inf root test the series
+
+153
+00:15:51,620 --> 00:15:59,120
+الأصلية اللى وراها ال summation لل N factorial to
+
+154
+00:15:59,120 --> 00:16:03,420
+the power N أُس N تربيع converge
+
+155
+00:16:07,270 --> 00:16:12,010
+إذا فكرة السؤال هذا تختلف عن فكرة السؤال اللي
+
+156
+00:16:12,010 --> 00:16:17,190
+جابله وإليك السؤال رقم تلاتة نشوف الفكرة زيهم
+
+157
+00:16:17,190 --> 00:16:24,900
+والله بتختلف كمان السؤال بيقول ما ياتي summation من
+
+158
+00:16:24,900 --> 00:16:31,560
+N equal one to infinity للاربعة to the power N N
+
+159
+00:16:31,560 --> 00:16:48,100
+factorial الكل تربيع على الاتنين N factorial يبقى
+
+160
+00:16:48,100 --> 00:16:50,080
+ال ratio test والله ال N throat
+
+161
+00:16:56,640 --> 00:17:01,340
+الراتو ساوي ال limit لما ال n tends to infinity
+
+162
+00:17:01,340 --> 00:17:07,120
+لحد انه يزايد واحد على الحد انه يبقى limit لما ال
+
+163
+00:17:07,120 --> 00:17:12,390
+n بده تروح الى infinity بدي أشيل كل N و أضع مكانها
+
+164
+00:17:12,390 --> 00:17:21,230
+N زائد واحد يبقى أربعة أس N زائد واحد N زائد واحد
+
+165
+00:17:21,230 --> 00:17:24,130
+factorial لكل تربيع
+
+166
+00:17:28,470 --> 00:17:35,870
+ن فاكتوريال تقسيم أربعة to the power of N ن
+
+167
+00:17:35,870 --> 00:17:43,970
+فاكتوريال لكل تربيع كله على اثنين ن فاكتوريال هذا
+
+168
+00:17:43,970 --> 00:17:48,130
+الكلام بده يساوي ال limit لما ال N tends to
+
+169
+00:17:48,130 --> 00:17:58,070
+infinity لمن؟ للأربعة في أربعة أس N في N زائد واحد
+
+170
+00:17:58,070 --> 00:18:05,050
+في N factorial في تربيع بيصير هذا تربيع وهذا ثاني
+
+171
+00:18:05,050 --> 00:18:12,830
+تربيع حالة هذه شباب قداشر N N زائد اثنين بيصير
+
+172
+00:18:12,830 --> 00:18:19,630
+اثنين N زائد اثنين اثنين N زائد واحد
+
+173
+00:18:22,930 --> 00:18:27,970
+الجسم هحولها لضرب و نجلب بيصير عندي اثنين N
+
+174
+00:18:27,970 --> 00:18:32,930
+factorial على أربعة to the power N في ال N
+
+175
+00:18:32,930 --> 00:18:40,590
+factorial الكل تربيع يابجي ابقى انانيجي نختصر
+
+176
+00:18:40,590 --> 00:18:45,410
+الاختصارات اللي عندنا و نشوف ايش بده يطلع
+
+177
+00:19:07,280 --> 00:19:12,950
+طلّع ليه كويس؟ أربعة وسن مع أربعة وسن in factorial
+
+178
+00:19:12,950 --> 00:19:18,030
+تربيع مع in factorial تربيع اثنين in factorial مع
+
+179
+00:19:18,030 --> 00:19:23,550
+اثنين in factorial بلّعلي هادي هادي اثنين في in
+
+180
+00:19:23,550 --> 00:19:28,870
+زائد واحد بظبط يبجي اثنين مع الاربعة ببقى اللي
+
+181
+00:19:28,870 --> 00:19:37,330
+عندي اثنين و in زائد واحد مع التربيع تمام يبجي هذا
+
+182
+00:19:37,330 --> 00:19:43,520
+اللي بلّعنا يبجي قالت ال limit لما ال N tends to
+
+183
+00:19:43,520 --> 00:19:56,600
+infinity لمن؟ لل 2N زائد 1 على 2N زائد 1 يبقى
+
+184
+00:19:56,600 --> 00:20:00,600
+يساوي limit لما ال N بده تروح ل infinity مشتقت
+
+185
+00:20:00,600 --> 00:20:08,220
+البعض على مشتقت المقام كده شو بطلع؟ 2 على 2 يساوي
+
+186
+00:20:08,220 --> 00:20:12,760
+1 يبقى معنى هذا الكلام انه اختبار ال ratio test
+
+187
+00:20:12,760 --> 00:20:23,820
+نالو بيفشل هذا بده يعطيك the ratio test is
+
+188
+00:20:23,820 --> 00:20:29,640
+inconclusive طيب
+
+189
+00:20:29,640 --> 00:20:30,600
+تبر حالك
+
+190
+00:20:36,680 --> 00:20:41,640
+يعني لو أنا بتقل السؤال عليه خمس علامة بحطلك علامة
+
+191
+00:20:41,640 --> 00:20:52,400
+أفشل يا كده بالحالة، كويس؟ ولذلك لشان وضيع وأنت
+
+192
+00:20:52,400 --> 00:20:56,260
+بتحطله عليه علامة، اللي أنا كنت شوفه اللي كان دارج
+
+193
+00:20:56,260 --> 00:21:01,720
+والله ضايق دارج ما قالليش يبقى فاشل الاختبار أنا
+
+194
+00:21:01,720 --> 00:21:04,420
+طالب تحكم تشوف ليه conversion ولا divergence؟ أنا
+
+195
+00:21:04,420 --> 00:21:07,720
+ما قلتليش لا conversion ولا divergence صح ولا لا؟
+
+196
+00:21:07,720 --> 00:21:12,700
+ففاشل الاختبار معاه، إذا بدك تروح تدورلك على طريقة
+
+197
+00:21:12,700 --> 00:21:21,660
+أخرى طيب كيف دورك؟ ايش بقى؟ هذا in fact لو بده فكه
+
+198
+00:21:21,660 --> 00:21:24,800
+تربية بصير ما شاء الله عليها معقدة جدا
+
+199
+00:21:31,960 --> 00:21:37,220
+طيب ندبر حالنا شوية نشوف كيف الحين احنا لما جسمنا
+
+200
+00:21:37,220 --> 00:21:43,660
+اثنين على بعض امشي امشي امشي وصلنا لوين؟ لهذه صحيح
+
+201
+00:21:43,660 --> 00:21:50,040
+ولا لأ يبقى أصبح عند الحد النوني زائد واحد على
+
+202
+00:21:50,040 --> 00:21:56,260
+الحد النوني بدي ساوي اثنين N زائد اثنين على اثنين
+
+203
+00:21:56,260 --> 00:22:02,520
+N زائد واحد مش هذا اللي توصلنا له السؤال هو هل هذا
+
+204
+00:22:02,520 --> 00:22:08,900
+الكثر أكبر من واحد صحيح ولا أجاليحق من واحد صحيح
+
+205
+00:22:08,900 --> 00:22:13,600
+أن ال bus أكبر من مقدار واحد إذا هذا أكبر من
+
+206
+00:22:13,600 --> 00:22:19,160
+الواحد الصحيح يعني معناه ايش؟ معناته أن الحد
+
+207
+00:22:19,160 --> 00:22:24,440
+النوني زائد واحد على الحد النوني أكبر من الواحد
+
+208
+00:22:24,440 --> 00:22:33,780
+الصحيح مصبور؟ طيب يا سلام ال bus أكبر من المقام
+
+209
+00:22:33,780 --> 00:22:38,290
+ولا لا؟ من الابتدائي من الرابع الابتدائي للبس أكبر
+
+210
+00:22:38,290 --> 00:22:42,770
+مقامي والكسر أكبر من الواحد الصحيح ماشي إذا كنت
+
+211
+00:22:42,770 --> 00:22:46,950
+صغير اصغير بطيك تظل كثير أنت حر مالاشي ده يعني طيب
+
+212
+00:22:46,950 --> 00:22:51,090
+على أي حال صار المقدار هذا أكبر من الواحدة ال A ان
+
+213
+00:22:51,090 --> 00:22:55,990
+عمره بياخد قيمة سالبة لأن رياشي و لأن ثلوج اشتراقنا
+
+214
+00:22:55,990 --> 00:23:00,670
+كل الحدود موجبة و مسئلة كل الحدود موجبة يبقى لو
+
+215
+00:23:00,670 --> 00:23:06,690
+ضربت الطرفين في A M يبقى هذا معناته أن الحد النوني
+
+216
+00:23:06,690 --> 00:23:13,150
+زائد واحد أكبر من الحد النوني لكل N أكبر من أو
+
+217
+00:23:13,150 --> 00:23:20,630
+تساوي كم؟ واحد طب كويس، ايش رأيك؟ ايش بفهم من هذا؟
+
+218
+00:23:20,630 --> 00:23:25,390
+أن الحد النوني زاد واحد أكبر من الحد النوني، يبقى
+
+219
+00:23:25,390 --> 00:23:30,070
+ال series increasing ولا decreasing؟ increasing
+
+220
+00:23:30,070 --> 00:23:34,610
+تزاوية، يعني لو عرفت الحد الأول، بكون الحد الثاني
+
+221
+00:23:34,610 --> 00:23:39,030
+أكبر منه لو عرفت الحد العاشر، يكون الحد الحادي عشر
+
+222
+00:23:39,030 --> 00:23:43,190
+أكبر منه، لو عرفت الحد الرقمية، يكون الحد الرقمية
+
+223
+00:23:43,190 --> 00:23:47,010
+واحد أكبر منه، لأنه increasing، مظبوط؟ طب تعالوا
+
+224
+00:23:47,010 --> 00:23:51,990
+نتعرف على الحد الأول، يبقى لو جئت وقلت بدأ أخد A
+
+225
+00:23:51,990 --> 00:23:56,510
+واحد يساوي، برجع لرأس المثلة، بدأ أشيل كل N و أحط
+
+226
+00:23:56,510 --> 00:24:03,330
+مكانها؟ يبقى بيصير أربعة أقص واحد باربعة واحد
+
+227
+00:24:03,330 --> 00:24:09,550
+factorial تربيع على مين على الاثنين factorial
+
+228
+00:24:09,550 --> 00:24:16,430
+يبقى أربعة على اثنين ويساوي اثنين إذا الحد الأول
+
+229
+00:24:17,210 --> 00:24:25,550
+اثنين، حد فده يعطيلك إن الحد رقم M دائما و أبدا
+
+230
+00:24:25,550 --> 00:24:33,160
+أكبر من اثنين ولا لأ؟ صح ولا لا؟ يبقى الحد سوى يبعث
+
+231
+00:24:33,160 --> 00:24:37,040
+لك الله، احنا اتفاقنا انه increasing، هذا الشرط
+
+232
+00:24:37,040 --> 00:24:41,880
+اللي موجود عندنا، لأن هذا ما قلتش يسوى، N زاد واحد
+
+233
+00:24:41,880 --> 00:24:48,100
+أكبر من N، يبقى ال N دايما أكبر من اثنين لمين، حد
+
+234
+00:24:48,100 --> 00:24:52,870
+لو ال N يمكن هذا رقم خمسمية إذا رقم خمسمية أكبر من
+
+235
+00:24:52,870 --> 00:24:58,570
+اثنين مدام الان أكبر من اثنين يبقى بصير ال limit
+
+236
+00:24:58,570 --> 00:25:08,070
+للان لما ال n tends to infinity أكبر من اثنين هل
+
+237
+00:25:08,070 --> 00:25:14,700
+اثنين هذا ممكن يساوي zero؟ يبقى لا يمكن أن يساوي
+
+238
+00:25:14,700 --> 00:25:19,600
+zero يبقى star limit a n لا يمكن أن يساوي zero بال
+
+239
+00:25:19,600 --> 00:25:24,960
+in term test ال series مالها diverse بروح بقول هنا
+
+240
+00:25:24,960 --> 00:25:38,980
+by the in term test the series summation ل 4 to the
+
+241
+00:25:38,980 --> 00:25:47,240
+power n factorial تربيه على 2n factorial by virgin
+
+242
+00:25:47,240 --> 00:25:55,120
+شكل انها طيب احنا اننا الآن بدأ السؤال تلاتة وكل
+
+243
+00:25:55,120 --> 00:26:01,280
+واحد صارت في فكرة شكل مختلفة عن الثانية تماما احنا
+
+244
+00:26:01,280 --> 00:26:06,390
+ايه لما جينا خدنا ال limit ووصلنا لهنا حسبنا ال
+
+245
+00:26:06,390 --> 00:26:10,750
+limit لاجناها تساوي واحد صحيح إذا ال ratio test
+
+246
+00:26:10,750 --> 00:26:14,170
+فاشل في الحكم عالميا على ال theories هل هي
+
+247
+00:26:14,170 --> 00:26:18,970
+converge او by birth لما نفشل اختبار ال ratio قول
+
+248
+00:26:18,970 --> 00:26:23,050
+الله ادبر حالك بأي وسيلة لو بدي أعمل مثل المثال
+
+249
+00:26:23,050 --> 00:26:29,830
+الأول حلل واختصر هذا التحليل مش سهل نن نقص واعة
+
+250
+00:26:29,830 --> 00:26:32,910
+نن نقص اثنين اثنين اثنين اثنين اثنين اثنين اثنين 
+
+251
+00:26:32,910 --> 00:26:33,850
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+252
+00:26:33,850 --> 00:26:37,670
+اتنين اتنين اتنين اتنين طبعا عندك N factorial ترابية
+
+253
+00:26:37,670 --> 00:26:40,510
+يعني لو اختصرتنا على ال N factorial بظل ال N
+
+254
+00:26:40,510 --> 00:26:45,490
+factorial كمان فوق ومخلصناش صارت المسألة معقدة إذا 
+
+255
+00:26:45,490 --> 00:26:50,270
+بدي ارجع بتفكير آخر بقول النتيجة لأنها دي اتنين N
+
+256
+00:26:50,270 --> 00:26:54,230
+زي دي اتنين على اتنين N زي واحد أكثر أكبر من الواحد
+
+257
+00:26:54,230 --> 00:26:58,100
+الصحيح طب النتيجة هذه عبارة عن مين؟ عبارة عن خارج
+
+258
+00:26:58,100 --> 00:27:01,980
+قسمة الحد النوني زائد واحد على الحد النوني، إذا
+
+259
+00:27:01,980 --> 00:27:07,800
+صار الحد النوني زائد واحد على الحد النوني أكبر من
+
+260
+00:27:07,800 --> 00:27:12,460
+مين؟ أكبر من واحد، لأن هذا الكسر أصلا أكبر من
+
+261
+00:27:12,460 --> 00:27:18,580
+واحد، هذا شو معناه؟ معناه أن الدالة increasing
+
+262
+00:27:18,580 --> 00:27:23,830
+تزايدية تزايدية يعني لو جبت أي حد الحد اللي بعده
+
+263
+00:27:23,830 --> 00:27:28,370
+بيكون أكبر منه روحنا جبنا الحد الأول طالع باتنين
+
+264
+00:27:28,370 --> 00:27:31,630
+إذا الحد الثاني أكبر من اتنين والثالث أكبر من
+
+265
+00:27:31,630 --> 00:27:36,850
+اتنين والعاشر أكبر من اتنين والنوني أكبر من اتنين
+
+266
+00:27:37,140 --> 00:27:41,380
+ما دام أكبر من اتنين إذا لا يمكن أن يساوي zero
+
+267
+00:27:41,380 --> 00:27:45,700
+يبقى صار limit للحد النوني لا يمكن أن يساوي zero
+
+268
+00:27:45,700 --> 00:27:50,160
+ال term test بيقول إذا limit للحد النوني كان لا 
+
+269
+00:27:50,160 --> 00:27:55,700
+يساوي zero أو infinite يبقى ال series مالها by
+
+270
+00:27:55,700 --> 00:27:59,700
+value هذا اللي احنا قلناه حد بدأ يسأل أي سؤال؟
+
+271
+00:27:59,700 --> 00:28:06,710
+ايوه أنت حلتي السؤال بعد ما فشلت أنا دائما لما بفشل
+
+272
+00:28:06,710 --> 00:28:13,810
+معايا السؤال بحاول أحله بأي طريقة صحيحة مش احنا
+
+273
+00:28:13,810 --> 00:28:17,910
+موضوعنا ال ratio و ال in through يبقى أنا بتطبق
+
+274
+00:28:17,910 --> 00:28:22,310
+الاختبارات هذه لما طبقت واحد منهم فشل الاختبار
+
+275
+00:28:22,310 --> 00:28:25,750
+فشل الاختبار روح تدبر حالك شوف يحكم عليه
+
+276
+00:28:25,750 --> 00:28:30,560
+conversion و other way بأي طريقة تقدر عليها مظبوط؟
+
+277
+00:28:30,560 --> 00:28:35,740
+روحت أنا استخدمت المعطيات اللي توصلت لها هذه مش
+
+278
+00:28:35,740 --> 00:28:40,020
+هملتها ياماه كلها سفر روحت منها لأن هذه خارج قسمة
+
+279
+00:28:40,020 --> 00:28:43,720
+الحد النوني زاد واحدة للحد النوني واستخدمت استخدام
+
+280
+00:28:43,720 --> 00:28:47,540
+صحيح وقدرت أحكم على السلسلة هل هي convert ولا diverse
+
+281
+00:28:47,540 --> 00:28:52,260
+ممكن احنا نوصل لزاد واحدة للحد النوني؟ فبعدين استخدم
+
+282
+00:28:52,260 --> 00:28:54,760
+ال answer ده مع طول طب واحنا هي اللي عملناه يا
+
+283
+00:28:54,760 --> 00:28:57,420
+ابنك؟ لأ يعني بدون ما استعمل اختبار ويفشل واعطول
+
+284
+00:28:57,420 --> 00:29:02,360
+أنا مابحب استعمل ال answer نسمع اقتراحك يا بنبص له
+
+285
+00:29:02,360 --> 00:29:06,360
+يا بنقول له تدهاش تاني مرة خليكوا معايا، قول اقتراحك
+
+286
+00:29:06,360 --> 00:29:10,340
+عاد بدون ما استعمل اختبار ال... ال ratio عطول اكسر
+
+287
+00:29:10,340 --> 00:29:12,560
+من حد انهني واعطولها من حد انهني كيف بيكتيجي
+
+288
+00:29:12,560 --> 00:29:16,720
+اسمه؟ هك يعني زي التبصيت والله كيف بدك تبص فهو
+
+289
+00:29:16,720 --> 00:29:20,860
+factorial تربية و factorial تاعة؟ كيف بتجسمه؟ هو
+
+290
+00:29:20,860 --> 00:29:24,380
+ال polynomial على ال polynomial مشان تجسمه؟ زي ما 
+
+291
+00:29:24,380 --> 00:29:28,800
+شعرنا إذا وضعنا... اهو ياولا... زي ايه؟ زي ما
+
+292
+00:29:28,800 --> 00:29:33,970
+انجسمت ياولاطيب أنا أنت ايش رأيك؟ امسك جلمك و
+
+293
+00:29:33,970 --> 00:29:38,110
+ورقتك واجسمليه معاك من هنا مش لأخر المحاضرة،
+
+294
+00:29:38,110 --> 00:29:41,850
+للمحاضرة الجاية تبعت ايه؟ بكرا ولا بعد بكرا؟ بكرا،
+
+295
+00:29:41,850 --> 00:29:45,930
+معاك من هنا لبكرا، وبتجيب لي النتيجة، ماشي؟ وإذا
+
+296
+00:29:45,930 --> 00:29:48,990
+ما كفاش لبكرا لبعد بكرا كمان، المحاضرة تبعت بعد
+
+297
+00:29:48,990 --> 00:29:57,160
+بكرا، فلازم؟ طيب يجب الآن ننتقل إلى مثال آخر يختلف
+
+298
+00:29:57,160 --> 00:30:01,940
+كمان عن هذه الأمثلة في الفكرة بتاعته يبقى بالدالي
+
+299
+00:30:01,940 --> 00:30:11,220
+إلى المثال رقم أربع يقول لي a1 يساوي ثلاثة والحد
+
+300
+00:30:11,220 --> 00:30:17,820
+النهني زائد واحد يساوي n على n زائد واحد في ال a n
+
+301
+00:30:21,170 --> 00:30:25,450
+خلّيني أقول لك في الكتاب بيجي 6 مثال من هذا
+
+302
+00:30:25,450 --> 00:30:30,650
+الموديل وهذا واحد منهم برضه بيقول لي شوف هل هذه ال
+
+303
+00:30:30,650 --> 00:30:33,970
+series converge والله ضعيفة بعدين بطلع فيها بقول
+
+304
+00:30:33,970 --> 00:30:37,750
+أنا مش عارف شكل ال series ايه حتى أبدأ آخد ال
+
+305
+00:30:37,750 --> 00:30:41,110
+ratio test أو ال info أنا مش عارف ما هو شكل ال
+
+306
+00:30:41,110 --> 00:30:46,710
+series لكن لاحظ المعطيات اللي معطيها لك علاقة تربط
+
+307
+00:30:46,710 --> 00:30:53,360
+بين الحد النوني زائد واحد والحد وكانوا بيغششك بيقولك
+
+308
+00:30:53,360 --> 00:30:57,620
+خد أو استخدم اختبار النسبة لأن اختبار النسبة هو
+
+309
+00:30:57,620 --> 00:31:00,960
+علاقة من الحد النوني زاد واحد من الحد النوني صحيح
+
+310
+00:31:00,960 --> 00:31:06,820
+ولا لا؟ إذا أنا هذه هاها بقدر أكتبها على الشكل
+
+311
+00:31:06,820 --> 00:31:16,730
+التالي an زائد واحد على الان يساوي n على n
+
+312
+00:31:16,730 --> 00:31:21,850
+زائد واحد يعني كأنه ايش؟ كأنه قالي اجسم الحد النوني
+
+313
+00:31:21,850 --> 00:31:24,890
+على الحد النوني زائد واختصر وهي نتيجة الاختصارات
+
+314
+00:31:24,890 --> 00:31:29,240
+رايحني مش زي اللي قبل أنا لسه قعدت أختصر يبقى هذا
+
+315
+00:31:29,240 --> 00:31:35,260
+أبسط من هذا، يبدأ مجد اختصف، لا لا جاهز وخالص،
+
+316
+00:31:35,260 --> 00:31:39,680
+يبقى مش لازم لي شكل الحد النوني، لكن يمكن يلزم
+
+317
+00:31:39,680 --> 00:31:44,520
+الله أعلم، مابندريش، إذا أنا جبت علاقة بتربط الحد
+
+318
+00:31:44,520 --> 00:31:47,220
+النوني زائد واحد مع الحد النوني، إذا باخد ال limit
+
+319
+00:31:47,220 --> 00:31:54,440
+دغري، طيب إن أنا آخد ال limit يبقى هذا limit لل a n
+
+320
+00:31:54,440 --> 00:31:59,300
+زائد واحد على ال a n لما ال a n tends to infinity
+
+321
+00:31:59,300 --> 00:32:03,660
+limit لما ال a n tends to infinity لل a n على a n
+
+322
+00:32:03,660 --> 00:32:10,690
+زائد واحد يساوي قداش؟ طب مين هو هذا؟ شو اسمه؟ الراشيو
+
+323
+00:32:10,690 --> 00:32:15,810
+تيست فشل؟ الحمد لله يدوب سلكت حالنا غير وراح فشل
+
+324
+00:32:15,810 --> 00:32:23,370
+كمان يبقى باقي بقول ذا ratio test فال
+
+325
+00:32:26,380 --> 00:32:30,560
+طيب يلا أفكر لك في طريقة تانية بقول اه ببطلها في
+
+326
+00:32:30,560 --> 00:32:35,640
+المثل بقول اسمع أنت وياه بقول a واحد يساوي تلاتة
+
+327
+00:32:35,640 --> 00:32:40,020
+معطيهاش للبلاش هذه معطيت في المثل إذا الها دور
+
+328
+00:32:40,020 --> 00:32:46,660
+في الحل إذا بدي أروح أشوف ماهو دورها في الحل بقوله
+
+329
+00:32:46,660 --> 00:32:53,620
+كويس ال a واحد يساوي قداش؟ تلاتة هل بنقدر نحسب a
+
+330
+00:32:53,620 --> 00:33:01,240
+اتنين؟ اه كيف اتنين؟ بدي اروح أكتبها a واحد زائد واحد
+
+331
+00:33:01,240 --> 00:33:07,840
+يبقى صار الواحد اللي عندي هذا مكان مين؟ مكان ال N
+
+332
+00:33:07,840 --> 00:33:13,740
+يبقى بدي أشيل كل N هنا وأحط مكانها يبقى هذه بدي
+
+333
+00:33:13,740 --> 00:33:19,480
+أساوي واحد على واحد زائد واحد a واحد a واحد يبقى
+
+334
+00:33:19,480 --> 00:33:26,030
+كم؟ تلاتة واحد زائد واحديبقى الحد الثاني طلع في
+
+335
+00:33:26,030 --> 00:33:33,250
+الجدار تلاتة على اتنين طيب نجيب الحد الثالث اتنين
+
+336
+00:33:33,250 --> 00:33:39,430
+زائد واحد يبقى هشيل كل n وحق مكانها اتنين وهذه
+
+337
+00:33:39,430 --> 00:33:47,350
+تصبح اتنين يبقى صارت هذه اتنين وهذه تلاتة على
+
+338
+00:33:47,350 --> 00:33:52,810
+اتنين يبقى صارت تلاتة على اتنين يبقى صارت واحد ونص فبشرح كل واحد بقدر أكتبها
+
+339
+00:33:52,810 --> 00:33:59,930
+تلاتة على تلاتة مش مشكلة قبلش هيك لحاجة في نفسي يا
+
+340
+00:33:59,930 --> 00:34:06,130
+عقوب ستعرفونها بعد قليل يبقى ايه؟ أربعة قلي كده
+
+341
+00:34:06,130 --> 00:34:15,090
+بقول أربعة اللي ايه تلاتة plus one تلاتة على تلاتة
+
+342
+00:34:15,090 --> 00:34:22,970
+plus one ايه تلاتة تلت أربعة فاهمين في واحد يبقى
+
+343
+00:34:22,970 --> 00:34:30,150
+تلاتة على أربعة ايه خمسة وبيكفي؟ ايه خمسة ايه أربعة
+
+344
+00:34:30,150 --> 00:34:36,110
+زائد واحد يبقى متساوي أربعة على أربعة زائد واحد
+
+345
+00:34:36,110 --> 00:34:45,010
+ايه أربعة يبقى أربعة أخماس في تلت أربع يساوي تلاتة
+
+346
+00:34:45,010 --> 00:34:51,460
+على خمسة إذا بناء عليه بقدر أعرف ال series اللي
+
+347
+00:34:51,460 --> 00:34:58,720
+عندنا فبروح بقول لها the series is الحد الأول
+
+348
+00:34:58,720 --> 00:35:03,880
+تلاتة على واحد الثاني تلاتة على اتنين تلاتة على
+
+349
+00:35:03,880 --> 00:35:09,820
+تلاتة تلاتة على أربعة تلاتة على خمسة بتضلك ماشي
+
+350
+00:35:09,820 --> 00:35:15,450
+لغاية تلاتة على n إلى آخره تمام؟ يبقى ال series
+
+351
+00:35:15,450 --> 00:35:22,910
+هذه مين؟ اللي هي تساوي summation لتلاتة على N من
+
+352
+00:35:22,910 --> 00:35:29,710
+عند ال N تساوي واحد لغاية infinity تلاتة summation
+
+353
+00:35:29,710 --> 00:35:35,270
+لواحد على N من N equal one to infinity مين هي هذه؟
+
+354
+00:35:35,920 --> 00:35:41,300
+مين هي هذه؟ Diverge Harmonic Series يبقى هذه
+
+355
+00:35:41,300 --> 00:35:48,560
+Diverge Harmonic Series يبقى يستطيعنا حل هذه
+
+356
+00:35:48,560 --> 00:35:53,620
+المسألة والحكم عليها هل هي Converge أو Diverge
+
+357
+00:35:53,620 --> 00:35:58,780
+لحد هنا انتهى هذا ال section وإليكم أرقام المسائل
+
+358
+00:35:58,780 --> 00:36:09,560
+اللي هي عشرة خمسة Exercises عشرة خمسة المسائل من
+
+359
+00:36:09,560 --> 00:36:18,020
+واحد لاتنين وستين اللي هي multiple of
+
+360
+00:36:18,020 --> 00:36:23,600
+three اللي هي مضاعفات من مضاعفات التلاتة
+
+361
+00:36:44,900 --> 00:36:52,240
+الآن بدنا نجي ل section عشرة ستة بتكلم
+
+362
+00:36:52,240 --> 00:36:57,140
+عن ال alternating series
+
+363
+00:37:03,250 --> 00:37:07,770
+بنعطي تعريف لل alternating series احنا سابقا كله
+
+364
+00:37:07,770 --> 00:37:12,290
+بنتكلم عن series with positive term يعني من عند ال
+
+365
+00:37:12,290 --> 00:37:16,930
+test لغاية آخر اختبارين في ال section الماضي كله
+
+366
+00:37:16,930 --> 00:37:22,010
+series with positive term ندل الآن لل alternating
+
+367
+00:37:22,010 --> 00:37:26,570
+series اللي هي عبارة حد موجب وحد سالب من أول ال
+
+368
+00:37:26,570 --> 00:37:33,400
+series حتى آخرها يبقى definition The alternating
+
+369
+00:37:33,400 --> 00:37:41,600
+series 
+
+370
+00:37:41,600 --> 00:37:53,440
+is an expression in the form الشكل التالي
+
+371
+00:37:57,670 --> 00:38:02,850
+من n equal one to infinity لسالب واحد to the power
+
+372
+00:38:02,850 --> 00:38:06,150
+n plus one لل N
+
+373
+00:38:08,400 --> 00:38:16,500
+حبينا نتعرف على شكل العناصر هدف تديلك a1- a2 زائد
+
+374
+00:38:16,500 --> 00:38:24,800
+a3- a4 زائد زائد ناقص واحد to the power n plus one
+
+375
+00:38:24,800 --> 00:38:33,580
+لل a n زائد الآخرين for summation من n equal one
+
+376
+00:38:33,580 --> 00:38:39,840
+لا ناقص واحد to the power n لل a n يبقى to infinity
+
+377
+00:38:39,840 --> 00:38:46,940
+سالب a one زائد a two سالب a three زائد a four
+
+378
+00:38:46,940 --> 00:38:52,320
+سالب زائد ناقص واحد to the power n a n زائد إلى
+
+379
+00:38:52,320 --> 00:38:52,880
+أخرى
+
+380
+00:39:32,590 --> 00:39:36,670
+لو رجعنا للاختبارات السابقة كانت الاختبارات
+
+381
+00:39:36,670 --> 00:39:40,430
+السابقة كلها تتحدث عن series with positive term
+
+382
+00:39:40,430 --> 00:39:43,350
+فعادة الاختبار الأول اللي هو ال test with positive
+
+383
+00:39:43,350 --> 00:39:47,670
+term لكن هذا ال section ينتقل إلى alternating
+
+384
+00:39:47,670 --> 00:39:53,780
+series يعني حد موجب وحد ثاني ممكن يكون الحد الأول
+
+385
+00:39:53,780 --> 00:39:58,080
+موجب وممكن يكون الحد الأول سالب إن كان الأول موجب
+
+386
+00:39:58,080 --> 00:40:02,420
+اللي بعده سالب موجب سالب موجب سالب لغاية infinity
+
+387
+00:40:02,420 --> 00:40:07,460
+إن كان الحد الأول سالب الثاني موجب سالب موجب سالب
+
+388
+00:40:07,460 --> 00:40:12,350
+موجب وهكذا لغاية ايه؟ لغاية infinity يبقى هذا
+
+389
+00:40:12,350 --> 00:40:15,870
+الشكل أو هذا الشكل ليه اتنين اسمه alternating
+
+390
+00:40:15,870 --> 00:40:19,330
+series سواء كانت ال series اللي عندنا هذه أو ال
+
+391
+00:40:19,330 --> 00:40:25,050
+series اللي عندنا هذه السؤال هو كيف بدنا نحكم على
+
+392
+00:40:25,050 --> 00:40:29,570
+هذه ال series هل هي converge أو diverge؟ بيقولك اه
+
+393
+00:40:29,570 --> 00:40:34,390
+ال section هذا يعتبر مراجع لِما سبقت دراسته
+
+394
+00:40:34,390 --> 00:40:39,330
+بالنسبة لل sections الماضية يبقى كأنه هذا بيقول
+
+395
+00:40:39,330 --> 00:40:44,390
+الحين تتطلع في المسألة وبتروح تستخدم الاختبار
+
+396
+00:40:44,390 --> 00:40:49,810
+اللي تراه مناسبا بالنسبة لمين؟ للمسألة لذلك بدنا
+
+397
+00:40:49,810 --> 00:40:56,950
+نروح ناخد نظرية هذه النظرية تتحدث عن ال
+
+398
+00:40:56,950 --> 00:41:15,210
+convergence of the alternating series شوف
+
+399
+00:41:15,210 --> 00:41:20,020
+ايش بتقول النظرية؟ بيقول إنك بتجي على ال alternating
+
+400
+00:41:20,020 --> 00:41:26,340
+series وبتسيبك من الإشارة السالبة اللي عندك هذه وهذه كلها السالبة تطلع لل a1 لحال و ال a2 و ال a3 و
+
+401
+00:41:26,340 --> 00:41:32,520
+ال a4 هل كلهم موجب ولا لا؟ إذا كلهم موجب بنقول آه
+
+402
+00:41:32,520 --> 00:41:37,620
+خلصنا الخطوة الأولى كل الحدود موجبة بنجي للخطوة
+
+403
+00:41:37,620 --> 00:41:43,110
+الثانية هل هي decreasing ولا لأ؟ يعني هل الحد
+
+404
+00:41:43,110 --> 00:41:47,510
+النوني اللي عندي أكبر من الحد النوني زاد واحد ولا
+
+405
+00:41:47,510 --> 00:41:52,930
+لأ؟ اتحقق الشرط الثاني روحت أخدت limit للحد النوني
+
+406
+00:41:52,930 --> 00:41:58,670
+لما ال N بتروح للمالا نهاية طلع الناتج يساوي zero
+
+407
+00:42:03,330 --> 00:42:07,650
+إن تحققت الشروط الثلاث دي بقول ال alternating
+
+408
+00:42:07,650 --> 00:42:15,190
+series مالها؟ الكلام اللي سمعته بدنا نروح نكتبه لك
+
+409
+00:42:15,190 --> 00:42:20,950
+فبتقول هنا the series النظرية
+
+410
+00:42:20,950 --> 00:42:25,910
+بتقول ما ياتي اللي هي summation من n equal one to
+
+411
+00:42:25,910 --> 00:42:32,110
+infinity لسالب واحد to the power n plus one لل a n
+
+412
+00:42:32,110 --> 00:42:38,050
+converge if the following
+
+413
+00:42:41,030 --> 00:42:48,350
+the three conditions are
+
+414
+00:42:48,350 --> 00:42:54,210
+satisfied إذا
+
+415
+00:42:54,210 --> 00:42:59,090
+تحققت الشروط الثلاث بقدر أقول إن ال series هذه
+
+416
+00:42:59,090 --> 00:43:06,690
+مالها convert النقطة الأولى the a and's كل الحدود
+
+417
+00:43:06,690 --> 00:43:09,750
+are all positive
+
+418
+00:43:20,050 --> 00:43:29,350
+الحدود الموجبة هذه are non increasing
+
+419
+00:43:29,350 --> 00:43:35,210
+ليست تزايدية يعني ممكن تكون decreasing أو ممكن
+
+420
+00:43:35,210 --> 00:43:46,170
+تكون constant that is أن ال an أكبر من أو يساوي ال an
+
+421
+00:43:46,170 --> 00:43:52,850
+زائد واحد لكل ال an اللي أكبر من أو يساوي capital N
+
+422
+00:43:52,850 --> 00:44:04,730
+for some integer capital N نقطة ثالثة والأخيرة
+
+423
+00:44:04,730 --> 00:44:13,250
+limit لل an لما ال intensity infinity بده يساوي zero
+
+424
+00:44:13,250 --> 00:44:16,710
+example
+
+425
+00:44:16,710 --> 00:44:24,830
+determine
+
+426
+00:44:24,830 --> 00:44:28,470
+whether
+
+427
+00:44:28,470 --> 00:44:33,070
+the
+
+428
+00:44:33,070 --> 00:44:35,010
+series
+
+430
+00:44:52,170 --> 00:44:56,570
+مرة ثانية بقول ال an بدي أشوف ال series هل هي
+
+431
+00:44:56,570 --> 00:45:02,340
+converge ولا diverge بدي أروح على الشروط الثلاث هل
+
+432
+00:45:02,340 --> 00:45:07,460
+كل الحدود موجب ولا لأ؟ باخد و بسيب الإشارة السلبية
+
+433
+00:45:07,460 --> 00:45:11,600
+أي واحد لحال اتنين تلاتة كلهم موجب ولا لأ؟ كلهم
+
+434
+00:45:11,600 --> 00:45:15,920
+ماشي الحال النقطة الثانية هل هدول بيشكلولي
+
+435
+00:45:15,920 --> 00:45:21,180
+increasing و non increasing series ولا لأ؟ الشرطة
+
+436
+00:45:21,180 --> 00:45:26,000
+التالية ال limit للحد النوني يساوي zero ولا لأ؟ إن حدث
+
+437
+00:45:26,000 --> 00:45:32,460
+ذلك يبقى series convert طيب تعال نشوف نطبق هذا على
+
+438
+00:45:32,460 --> 00:45:36,380
+أرض الواقع هالهي اللي أغطيتها دول هدى شو اسمها؟
+
+439
+00:45:36,380 --> 00:45:40,720
+واحدة من مين هي؟ Harmonic Harmonic اللي هي ايه؟
+
+440
+00:45:40,720 --> 00:45:44,880
+diverse طب ال alternating harmonic اللي نشوف هالهي
+
+441
+00:45:44,880 --> 00:45:50,260
+converge والله diverse إذا بدي آخذ اللي هو النقطة
+
+442
+00:45:50,260 --> 00:45:59,820
+الأولى ال and the and الحدود اللي هو مين؟ واحد على n
+
+443
+00:45:59,820 --> 00:46:03,920
+يعني ثبت الإشارات السالبة كلها هل هذه موجبة ولا
+
+444
+00:46:03,920 --> 00:46:13,790
+سالبة كلها موجبة are all positive الشرط الثاني الحد
+
+445
+00:46:13,790 --> 00:46:18,490
+النوني بده يساوي واحد على n أكبر من الحد النوني
+
+446
+00:46:18,490 --> 00:46:22,730
+زائد واحد اللي هو واحد على n زائد واحد يبقى هذه
+
+447
+00:46:22,730 --> 00:46:29,010
+decreasing لكل ال n اللي أكبر من أو تساوي الواحد
+
+448
+00:46:29,740 --> 00:46:35,760
+الشرط الثالث بدنا limit لل a n لما ال n tends to
+
+449
+00:46:35,760 --> 00:46:40,480
+infinity يبقى limit ل 1 على n لما ال n tends to
+
+450
+00:46:40,480 --> 00:46:48,760
+infinity يساوي جدة ايه؟ Zero يبقى by the above
+
+451
+00:46:48,760 --> 00:46:57,880
+theorem the alternating harmonic
+
+452
+00:47:05,360 --> 00:47:09,760
+يبقى ال harmonic diverse لكن ال alternating
+
+453
+00:47:09,760 --> 00:47:15,460
+harmonic series converge صحيح
+
+454
+00:47:15,460 --> 00:47:19,320
+لأ المرة الجاية إن شاء الله بتقولك وقتاش ال
+
+455
+00:47:19,320 --> 00:47:22,820
+alternating series بتبقى converge
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/QRb1qDFVP30_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/QRb1qDFVP30_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1da0e4b22b190bde1b752f27c571ecfa9d210a95
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/QRb1qDFVP30_postprocess.srt
@@ -0,0 +1,1820 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:11,020 --> 00:00:15,020
+بسم الله الرحمن الرحيم نكمل ما ابتدأنا فيه في
+
+3
+00:00:15,020 --> 00:00:18,980
+المرة الماضية المرة الماضية كنا بنتكلم على اخر
+
+4
+00:00:18,980 --> 00:00:23,680
+اختبارين اللي هم اختبار ال ratio test واختبار ال n
+
+5
+00:00:23,680 --> 00:00:28,880
+through test قلنا بالنسبة ل ratio test بنجسم الحد
+
+6
+00:00:28,880 --> 00:00:31,720
+النوني زائد واحد على الحد النوني و بناخد ال limit
+
+7
+00:00:31,720 --> 00:00:36,580
+لما ال n بده تروح لمعنى نهايةالنتج بده يسميه رو
+
+8
+00:00:36,580 --> 00:00:40,060
+إذا رو كانت أقل من الواحد الصحيح يبقى series
+
+9
+00:00:40,060 --> 00:00:44,160
+conserved إذا رو أكبر من الواحد الصحيح أو تسوي
+
+10
+00:00:44,160 --> 00:00:49,280
+infinity يبقى diver إذا رو تسوي واحد صحيح لاختبار
+
+11
+00:00:49,280 --> 00:00:54,740
+بيفشل ثم اختبار ال intro test اختبار الجذر النوني
+
+12
+00:00:55,030 --> 00:00:59,930
+بناخد الجذر النونى للحد النونى لل series وبنقل ال
+
+13
+00:00:59,930 --> 00:01:02,870
+limit هذه و بنقول بنسميها روح اذا روح اقل من واحد
+
+14
+00:01:02,870 --> 00:01:06,050
+صحيح the series converge و اذا اكبر من واحد صحيح
+
+15
+00:01:06,050 --> 00:01:09,970
+او infinite diverse واذا سواحد الاختبار بيفشل
+
+16
+00:01:09,970 --> 00:01:14,730
+بتروح تدورلك على اي اختبار يحل المسألة اللى عندك
+
+17
+00:01:14,730 --> 00:01:20,070
+اخدنا على ذلك المرة الماضية سبعة امثلة تمام المرة
+
+18
+00:01:20,070 --> 00:01:24,220
+هذه بنكمل هذه الأمثلة لكن المرة هذهالأمثلة أتجار
+
+19
+00:01:24,220 --> 00:01:28,760
+من المرة الماضية و هنشوف كل مثال بفكرة شكل مش
+
+20
+00:01:28,760 --> 00:01:34,700
+هنحاول نغطي الفكرة اللي موجودة في التمريد بيقول ال
+
+21
+00:01:34,700 --> 00:01:39,440
+summation لل N factorial لإن ال N على N في N زائد
+
+22
+00:01:39,440 --> 00:01:43,360
+يتنمى بنانيش نشوف هل هذه ال series converge والله
+
+23
+00:01:43,360 --> 00:01:49,080
+بي converge بطلع بلاقي فيها ال N factorialيبقى
+
+24
+00:01:49,080 --> 00:01:53,260
+افضل اختبار في الاتنين هو اختبار النسبة وال ratio
+
+25
+00:01:53,260 --> 00:01:59,620
+test يبقى باجي بقوله بدي اخد روه تساوي ال limit
+
+26
+00:01:59,620 --> 00:02:06,120
+لما ال intensity للحد النوني زائد واحد على الحد
+
+27
+00:02:06,120 --> 00:02:14,530
+النونييبقى limit لما ال N tends to infinity يبقى N
+
+28
+00:02:14,530 --> 00:02:24,250
+زائد واحد factorial لإن ال N زائد واحد كله على N
+
+29
+00:02:24,250 --> 00:02:31,430
+زائد واحد مضروب في N زائد واحد زائد اتنين
+
+30
+00:02:31,430 --> 00:02:38,430
+factorial كله بدأج اسمه على N factorialلأن ال N
+
+31
+00:02:38,430 --> 00:02:48,390
+على N في N زائد اتنين factorial هذا الكلام يساوي
+
+32
+00:02:48,390 --> 00:02:55,150
+limit لما ال N tends to infinity لمين لل N plus
+
+33
+00:02:55,150 --> 00:03:00,330
+one في ال N factorial هذا اللي ماعنديش fact له
+
+34
+00:03:00,330 --> 00:03:07,990
+بيبقى كما هو هذا اللي هو N زائد واحد كما هيوهذا هو
+
+35
+00:03:07,990 --> 00:03:14,570
+N زائد تلاتة إذا بقدر أفكر اللي هو N زائد تلاتة في
+
+36
+00:03:14,570 --> 00:03:21,230
+مين؟ في N زائد اتنين factorial القسم بحولها إلى
+
+37
+00:03:21,230 --> 00:03:27,890
+ضرب وبنجلب البص مقام ومقام بص N زائد اتنين
+
+38
+00:03:27,890 --> 00:03:36,740
+factorial كله على N factorial في لن ال Nيساوي
+
+39
+00:03:36,740 --> 00:03:41,850
+limit لما ال in tends to infinityتعني اختصار
+
+40
+00:03:41,850 --> 00:03:47,390
+الاختصارات الجث هذا مع الجث هذا مع السلامة ال N
+
+41
+00:03:47,390 --> 00:03:52,370
+factorial مع ال N factorial الحلو ال N زائد اتنين
+
+42
+00:03:52,370 --> 00:03:57,650
+factorial مع ال N زائد اتنين factorial يبقى آلة
+
+43
+00:03:57,650 --> 00:04:03,910
+المسألة الى N على N زائد تلاتة في limit لما ال N
+
+44
+00:04:03,910 --> 00:04:12,170
+tends to infinityلمن لن الان زائد واحد على لن الان
+
+45
+00:04:12,170 --> 00:04:19,310
+بعد الاختصارات ان على ان زائد تلاتة مضروب في لن
+
+46
+00:04:19,310 --> 00:04:25,250
+الان زائد واحد على لن الانبنحسب ال limit الأولى ال
+
+47
+00:04:25,250 --> 00:04:30,410
+limit اللي هي أولى هدف جدراش كلها بواحد صحيح طبقا
+
+48
+00:04:30,410 --> 00:04:34,710
+لقاعدة looped by الهدف infinity على infinity يبقى
+
+49
+00:04:34,710 --> 00:04:39,870
+مشتقة البصة على مشتقة المقام يبقى limit لما ال n
+
+50
+00:04:39,870 --> 00:04:44,830
+tends to infinity للواحد على n زائد واحد واحد على
+
+51
+00:04:44,830 --> 00:04:51,010
+n يبقى limit لما ال n tends to infinity لل n على n
+
+52
+00:04:51,010 --> 00:04:57,290
+زائد واحد يسوى جدراشايش رأيك في الاختبار؟ فشل،
+
+53
+00:04:57,290 --> 00:05:00,690
+يبقى هنا باجي بقول السا، ذا
+
+54
+00:05:09,430 --> 00:05:16,290
+محسمش المثال أو في الفشل الاختبار يبقى تروح تدورلك
+
+55
+00:05:16,290 --> 00:05:22,050
+على أي شغلة تانية بحيث المثال هذه تحكم عليها هل هي
+
+56
+00:05:22,050 --> 00:05:28,390
+convert او Boilerبعدين اتطلع لمين للمثلة بدي اعرف
+
+57
+00:05:28,390 --> 00:05:31,650
+هالمثلة conversion or divergence بدي ارجع لمين لمن
+
+58
+00:05:31,650 --> 00:05:37,290
+ارجع لرأس المثلة بلاحظ في عندي factorial في البصر
+
+59
+00:05:37,290 --> 00:05:41,850
+وفي factorial في المقام بقدر اوصل factorial في
+
+60
+00:05:41,850 --> 00:05:46,380
+المقام ل factorialبتابع البصة وبالتالي بحط المسألة
+
+61
+00:05:46,380 --> 00:05:52,240
+في شكل جديد يبقى باجي بقول المسألة أصلا هيها ال
+
+62
+00:05:52,240 --> 00:05:57,980
+summation من n equal one to infinity لل n
+
+63
+00:05:57,980 --> 00:06:05,360
+factorial لإن ال n على مين؟ على n في n زائد اتنين
+
+64
+00:06:05,360 --> 00:06:11,400
+في n زائد واحد في n factorial بالشكل اللي انها ده
+
+65
+00:06:12,360 --> 00:06:16,740
+لو اختصرنا بروح ال N factorial مع ال N factorial
+
+66
+00:06:16,740 --> 00:06:23,520
+يبقى صارة المسألة كإنها summation لإن ال N على N
+
+67
+00:06:23,520 --> 00:06:28,880
+زائد واحد في N زائد اتنين بالشكل اللي عندنا هذا
+
+68
+00:06:30,670 --> 00:06:34,870
+الان بدي اشوف هل ال series هذي converge و لا
+
+69
+00:06:34,870 --> 00:06:41,810
+diverge بقوله بسيطة احنا عندنا لن ال M على N في N
+
+70
+00:06:41,810 --> 00:06:48,770
+زائد واحد في N زائد اتنين شو علاقتها ب N على N في
+
+71
+00:06:48,770 --> 00:06:55,330
+N زائد واحد في N زائد اتنين اللي قوله شو علاقتها
+
+72
+00:06:55,330 --> 00:07:02,120
+بتانية جاله الله اكبرأصغر منه يبقى أقل من هذه تمام
+
+73
+00:07:02,120 --> 00:07:08,400
+طيب من أن أقل منها ممكن نختصر ال N مع ال N ويصير
+
+74
+00:07:08,400 --> 00:07:16,340
+واحد على N زائد واحد في N زائد اتنين شو علاقة هذه
+
+75
+00:07:16,340 --> 00:07:19,060
+بواحد على N في N؟
+
+76
+00:07:22,220 --> 00:07:27,620
+أقل منها لأن مقابها أكبر، يبقى هذه أقل من هذه اللي
+
+77
+00:07:27,620 --> 00:07:35,430
+بيستوى واحد على ان تربية، بقوله بطولكنSummation
+
+78
+00:07:35,430 --> 00:07:44,510
+واحد على ان تربية convert P series because ان T
+
+79
+00:07:44,510 --> 00:07:50,870
+يسوى اتنين اكبر من الواحد الصحيح باجي بقول هنا by
+
+80
+00:07:50,870 --> 00:07:59,950
+the comparisons of the series اللي همينSummation
+
+81
+00:07:59,950 --> 00:08:06,730
+لإن ال N على N في N زائد واحد في N زائد اتنين
+
+82
+00:08:06,730 --> 00:08:12,570
+Converge إذا بناء علي ال ratio test فشل في الحكم
+
+83
+00:08:12,570 --> 00:08:16,970
+على series هل هي converge او diverse لكن استطعنا
+
+84
+00:08:16,970 --> 00:08:21,370
+نحلها بواسطة تمام بواسطة ال comparison test بعد ما
+
+85
+00:08:21,370 --> 00:08:29,250
+فكينا واختصرنا طيب نيجي ناخد كمان سؤالمثال اتنين
+
+86
+00:08:29,250 --> 00:08:37,930
+بيقول ال summation من n equal one to infinity لل n
+
+87
+00:08:37,930 --> 00:08:44,610
+factorial to the power n على n to the power n
+
+88
+00:08:44,610 --> 00:08:53,190
+تربيع مين
+
+89
+00:08:53,190 --> 00:08:55,830
+أخد الاختبار لهذا الشغل؟ ال ratio
+
+90
+00:08:59,140 --> 00:09:03,140
+بقدر اخد الجدر النوني للطرفين وبالتالي بيصير الجدر
+
+91
+00:09:03,140 --> 00:09:08,700
+النوني ربما يكون ايسر كتير من مية من ال ratio إذا
+
+92
+00:09:08,700 --> 00:09:14,080
+لو أداجي اخد اختبار الحد النوني راتو سوى ال limit
+
+93
+00:09:14,080 --> 00:09:20,020
+لما n tends to infinityللجذر النونى لل N factorial
+
+94
+00:09:20,020 --> 00:09:27,680
+to the power N على N to the power N تربية هذا لبعض
+
+95
+00:09:27,680 --> 00:09:33,520
+الاختصارات طبعا الجذر النونى limit لما ال N tends
+
+96
+00:09:33,520 --> 00:09:39,320
+to infinity لل N factorial على N to the power N
+
+97
+00:09:40,010 --> 00:09:44,630
+الجدر النوني يعني ان القوس هذا كل اس واحد على N
+
+98
+00:09:44,630 --> 00:09:50,030
+بصير واحد على N بطير هنا ان تربيه على N بيبقى لها
+
+99
+00:09:50,030 --> 00:09:54,570
+ن دي قدراش اس N زي ما انت شايفك بيبقى لها ن دي N
+
+100
+00:09:54,570 --> 00:09:57,650
+أس F طيب كويس
+
+101
+00:10:01,200 --> 00:10:07,960
+ن تربية يعني N في N على 1 على N يعني بيظل نص جدا ن
+
+102
+00:10:07,960 --> 00:10:15,880
+مش ن تربية عادي تعني N ضرب N مش أُس مُركّب أُس N
+
+103
+00:10:15,880 --> 00:10:21,820
+كله تربية لأن أُس بهاله تربية لو كان أُس مُركّب N
+
+104
+00:10:21,820 --> 00:10:29,110
+أُس N كله تربية يصير N أُس 2Nمظبوط لكن هذه N أُس N
+
+105
+00:10:29,110 --> 00:10:34,850
+ثربية يعني N برب N نقسم على N بصير N to the power
+
+106
+00:10:34,850 --> 00:10:39,830
+N بالشكل اللي عندنا هذا طيب يالا بدنا نحسب هذه
+
+107
+00:10:39,830 --> 00:10:45,930
+ساندويش ثيرم ساندويش ثيرم والقوة الكبيرة دي
+
+108
+00:10:45,930 --> 00:10:49,730
+بالساندويش ثيرم هذه محصولة بين مين ومين؟
+
+109
+00:10:54,870 --> 00:11:02,430
+صفر واحد على ان، ماشي، هذا كلامك العتيق، صح؟ لما
+
+110
+00:11:02,430 --> 00:11:05,170
+حاليا زمان ما احنا كنا نعرفش شيء، الحين صبرا نعرفش
+
+111
+00:11:05,170 --> 00:11:10,050
+كتير، يبقى احنا بنحلها بغير الحل اللي كان زمان،
+
+112
+00:11:10,050 --> 00:11:15,660
+طبعا؟ تعالى نشوف كيف نستوف ال limit هذههذه هي
+
+113
+00:11:15,660 --> 00:11:22,080
+تساوي limit لما ال N tends to infinity لمين؟ لل N
+
+114
+00:11:22,080 --> 00:11:27,640
+في N ناقص واحد في N ناقص اتنين في تلاتة في اتنين
+
+115
+00:11:27,640 --> 00:11:37,140
+في واحد على N في N في N في N في N في N فى ايه؟ اكم
+
+116
+00:11:37,140 --> 00:11:42,100
+حد اللي في ال bus كدهش عدد هو اللي فوت
+
+117
+00:11:44,900 --> 00:11:51,200
+ان و اللي في المقال ان كذلك يبقى عندي ان من الحدوث
+
+118
+00:11:51,200 --> 00:11:57,830
+لكن لو اختصرت هذه معهد بشيرة عدد الحدوث قداشنقص
+
+119
+00:11:57,830 --> 00:12:00,950
+واحد بينقص واحد لإن اختصرت من ال bus تحد ومن
+
+120
+00:12:00,950 --> 00:12:07,770
+المقام حد يعني كأن المسألة هي ال limit لما ال N
+
+121
+00:12:07,770 --> 00:12:14,170
+تنسوا infinity لمن؟ لل N نقص واحد على N N نقص
+
+122
+00:12:14,170 --> 00:12:21,950
+اتنين على N ونظل ماشيين لغاية تلاتة على N اتنين
+
+123
+00:12:21,950 --> 00:12:29,790
+على N واحد على Nيعني اعتبرت كل واحد مقسم على N من
+
+124
+00:12:29,790 --> 00:12:34,770
+ال N's اللي موجودة عندى طب شوف ليه .. شو مقارنتك
+
+125
+00:12:34,770 --> 00:12:42,610
+مع limit لما ال N تنسى infinity لل N ناقص واحد على
+
+126
+00:12:42,610 --> 00:12:49,830
+N N ناقص واحد على N N ناقص واحد على N N ناقص واحد
+
+127
+00:12:49,830 --> 00:12:54,770
+على N شوف ليه ال limit الأولى و الله التاني يمين
+
+128
+00:12:54,770 --> 00:12:55,730
+اللي أقل
+
+129
+00:12:59,470 --> 00:13:06,410
+طيب؟ التاني أقل من الأولى؟ أكبر لأن ال bus تبعها
+
+130
+00:13:06,410 --> 00:13:11,370
+أكبر من bus هذه يعني أنا ثبت ال bus كله بالنقص
+
+131
+00:13:11,370 --> 00:13:15,810
+واحد لكن هنا ال نقص واحد أجل منه النقص اتنين ال
+
+132
+00:13:15,810 --> 00:13:22,130
+نقص كله أجل منه إذا ال limit هذه أقل من مين؟ من ال
+
+133
+00:13:22,130 --> 00:13:28,610
+limit اللي قلنا هذه صحيح ولا لا؟هذا الكلام يساوي
+
+134
+00:13:28,610 --> 00:13:35,490
+limit لما ال N تنسى ال infinity كم واحدة هؤلاء؟
+
+135
+00:13:35,490 --> 00:13:43,270
+نقص واحد يبقى هذه N نقص واحد على N to the power N
+
+136
+00:13:43,270 --> 00:13:49,890
+minus ال oneاللي بقدر اكتبها limit لما ال N tends
+
+137
+00:13:49,890 --> 00:13:57,850
+to infinity ل 1 ناقص 1 على N أس N ناقص 1
+
+138
+00:14:08,660 --> 00:14:13,380
+ما رأيك هذه لو ضربتها في واحد صحيح واحد ناقص واحد
+
+139
+00:14:13,380 --> 00:14:18,620
+على n واحد ناقص واحد على n مش ضربتها في واحد صحيح
+
+140
+00:14:18,620 --> 00:14:25,520
+وبالسؤال ليش ضربتها هذا ما سنجيب عليه الآن نبقى
+
+141
+00:14:25,520 --> 00:14:31,960
+هذا limit لما ال n تنسو infinity للواحد ناقص واحد
+
+142
+00:14:31,960 --> 00:14:36,620
+على n to the power n واحد ناقص واحد على n
+
+143
+00:14:39,680 --> 00:14:43,000
+الله أعظم لعلكوا أدركتوا شو السبب قداش limit
+
+144
+00:14:43,000 --> 00:14:50,460
+الباصة E والسالب واحد يبقى E والسالب واحد والمقام
+
+145
+00:14:50,460 --> 00:14:56,180
+واحد يبقى ليش عملت هك؟ مشان أجدركت قد مين؟ بدلالة
+
+146
+00:14:56,180 --> 00:15:00,980
+ال E والسالب واحد من الجدول الرقم خمسة في الجدول
+
+147
+00:15:00,980 --> 00:15:05,500
+تبع ال limits فيبقى هذا بده يساوي واحد على E
+
+148
+00:15:05,500 --> 00:15:10,640
+الواحد على E مالها؟أكبر من واحد، إذا ال limit اللي
+
+149
+00:15:10,640 --> 00:15:17,800
+عندنا هديها أقل، أقل، ضلت، ماشي، لجت، أقل من
+
+150
+00:15:17,800 --> 00:15:22,120
+الواحد، يبقى ال series converge ولا diverge؟
+
+151
+00:15:22,120 --> 00:15:26,440
+converge، يبقى بروح بضله، الآن
+
+152
+00:15:40,000 --> 00:15:51,620
+يبقى بروح و بقوله by the inf root test the series
+
+153
+00:15:51,620 --> 00:15:59,120
+الاصلية اللى وراها ال summation لل N factorial to
+
+154
+00:15:59,120 --> 00:16:03,420
+the power N أُس N تربيع converge
+
+155
+00:16:07,270 --> 00:16:12,010
+إذا فكرة السؤال هذا تختلف عن فكرة السؤال اللي
+
+156
+00:16:12,010 --> 00:16:17,190
+جابله وإليك السؤال رقم تلاتة نشوف الفكرة زيهم
+
+157
+00:16:17,190 --> 00:16:24,900
+والله بتختلف كمان السؤال بيقول ما ياتي summationمن
+
+158
+00:16:24,900 --> 00:16:31,560
+N equal one to infinity للاربعة to the power N N
+
+159
+00:16:31,560 --> 00:16:48,100
+factorial الكل تربيع على الاتنين N factorial يبقى
+
+160
+00:16:48,100 --> 00:16:50,080
+ال ratio test والله ال N throat
+
+161
+00:16:56,640 --> 00:17:01,340
+الراتو ساوي ال limit لما ال n tends to infinity
+
+162
+00:17:01,340 --> 00:17:07,120
+لحد انه يزايد واحد على الحد انه يبقى limit لما ال
+
+163
+00:17:07,120 --> 00:17:12,390
+n بده تروح الى infinityبدي أشيل كل N و أضع مكانها
+
+164
+00:17:12,390 --> 00:17:21,230
+N زائد واحد يبقى أربعة أس N زائد واحد N زائد واحد
+
+165
+00:17:21,230 --> 00:17:24,130
+factorial لكل تربيع
+
+166
+00:17:28,470 --> 00:17:35,870
+ن فاكتوريال تقسيم أربعة to the power of N ن
+
+167
+00:17:35,870 --> 00:17:43,970
+فاكتوريال لكل تربيع كله على اتنين ن فاكتوريال هذا
+
+168
+00:17:43,970 --> 00:17:48,130
+الكلام بده يساوي ال limit لما ال N tends to
+
+169
+00:17:48,130 --> 00:17:58,070
+infinityلمن؟ للأربعة في أربعة أس N في N زائد واحد
+
+170
+00:17:58,070 --> 00:18:05,050
+في N factorial في تربيع بيصير هذا تربيع وهذا تاني
+
+171
+00:18:05,050 --> 00:18:12,830
+تربيع حالة هذه شباب قداشر N N زائد اتنين بيصير
+
+172
+00:18:12,830 --> 00:18:19,630
+اتنين N زائد اتنين نين N زائد واحد
+
+173
+00:18:22,930 --> 00:18:27,970
+الجسم هحولها لضرب و نجلب بيصير عندي اتنين N
+
+174
+00:18:27,970 --> 00:18:32,930
+factorial على اربعة to the power N في ال N
+
+175
+00:18:32,930 --> 00:18:40,590
+factorial الكل تربيع يابجي ابقى انانيجي نختصر
+
+176
+00:18:40,590 --> 00:18:45,410
+الاختصارات اللي عندنا و نشوف ايش بده يطلع
+
+177
+00:19:07,280 --> 00:19:12,950
+طلّع ليه كويس؟ اربعة وسن مع اربعة وسنin factorial
+
+178
+00:19:12,950 --> 00:19:18,030
+تربيع مع in factorial تربيع اتنين in factorial مع
+
+179
+00:19:18,030 --> 00:19:23,550
+اتنين in factorial بلّعلي هادي هادي اتنين في in
+
+180
+00:19:23,550 --> 00:19:28,870
+زائد واحد بظبط يبجي اتنين مع الاربعة ببقى اللي
+
+181
+00:19:28,870 --> 00:19:37,330
+عندى اتنين وin زائد واحد مع التربيع تمام يبجي هذا
+
+182
+00:19:37,330 --> 00:19:43,520
+اللي بلّعنا يبجي قالت ال limitلما ال N tends to
+
+183
+00:19:43,520 --> 00:19:56,600
+infinity لمن؟ لل 2N زائد 1 على 2N زائد 1 يبقى
+
+184
+00:19:56,600 --> 00:20:00,600
+يساوي limit لما ال N بده تروح ل infinity مشتقت
+
+185
+00:20:00,600 --> 00:20:08,220
+البعض على مشتقت المقام كده شو بطلع؟ 2 على 2 يساوي
+
+186
+00:20:08,220 --> 00:20:12,760
+1يبقى معنى هذا الكلام انه اختبار ال ratio test
+
+187
+00:20:12,760 --> 00:20:23,820
+نالو بيفشل هذا بده يعطيك the ratio test is
+
+188
+00:20:23,820 --> 00:20:29,640
+inconclusive طيب
+
+189
+00:20:29,640 --> 00:20:30,600
+تبر حالك
+
+190
+00:20:36,680 --> 00:20:41,640
+يعني لو انا بتقل السؤال عليه خمس علامة بحطلك علامة
+
+191
+00:20:41,640 --> 00:20:52,400
+افشل يا كده بالحالة، كويس؟ ولذلك لشان وضيع وانت
+
+192
+00:20:52,400 --> 00:20:56,260
+بتحطله عليه علامة، اللي انا كنت شوفه اللي كان دارج
+
+193
+00:20:56,260 --> 00:21:01,720
+و الله ضايق دارج ما قالليشيبقى فاشل الاختبار انا
+
+194
+00:21:01,720 --> 00:21:04,420
+طالب تحكم تشوف ليه conversion ولا divergence؟ انا
+
+195
+00:21:04,420 --> 00:21:07,720
+ماقلتليش لا conversion ولا divergence صح ولا لا؟
+
+196
+00:21:07,720 --> 00:21:12,700
+ففاشل الاختبار معاه، اذا بدك تروح تدورلك على طريقة
+
+197
+00:21:12,700 --> 00:21:21,660
+أخرى طيب كيف دورك؟ ايش بقى؟ هذا in fact لو بده فكه
+
+198
+00:21:21,660 --> 00:21:24,800
+تربية بصير ما شاء الله عليها معقدة جدا
+
+199
+00:21:31,960 --> 00:21:37,220
+طيب ندبر حالنا شوية نشوف كيف الحين احنا لما جسمنا
+
+200
+00:21:37,220 --> 00:21:43,660
+اتنين على بعض امشي امشي امشي وصلنا لوين؟لهذه صحيح
+
+201
+00:21:43,660 --> 00:21:50,040
+ولا لأ يبقى أصبح عند الحد النوني زائد واحد على
+
+202
+00:21:50,040 --> 00:21:56,260
+الحد النوني بدي ساوي اتنين N زائد اتنين على اتنين
+
+203
+00:21:56,260 --> 00:22:02,520
+N زائد واحد مش هذا اللي توصلنا له السؤال هو هل هذا
+
+204
+00:22:02,520 --> 00:22:08,900
+الكثر أكبر من واحد صحيح ولا أجاليحق من واحد صحيح
+
+205
+00:22:08,900 --> 00:22:13,600
+ان ال bus اكبر من مقدار واحد اذا هذا اكبر من
+
+206
+00:22:13,600 --> 00:22:19,160
+الواحد الصحيح يعني معناه ايش؟ معناته ان الحد
+
+207
+00:22:19,160 --> 00:22:24,440
+اللوني زائد واحد على الحد اللوني اكبر من الواحد
+
+208
+00:22:24,440 --> 00:22:33,780
+الصحيح مصبور؟ طيب يا سلام ال bus اكبر من المقام
+
+209
+00:22:33,780 --> 00:22:38,290
+ولا لا؟من الابتدائي من الرابع الابتدائي للبس اكبر
+
+210
+00:22:38,290 --> 00:22:42,770
+مقامي والكسر اكبر من الواحد الصحيح ماشي اذا كنت
+
+211
+00:22:42,770 --> 00:22:46,950
+صغير اصغير بطيك تظل كثير انت حر مالاشي ده يعني طيب
+
+212
+00:22:46,950 --> 00:22:51,090
+على اي حال صار المقدار هذا اكبر من الواحدة ال A ان
+
+213
+00:22:51,090 --> 00:22:55,990
+عمره بياخد قيمة سالبةلأن رياشي و لأن ثلوج اشتراقنا
+
+214
+00:22:55,990 --> 00:23:00,670
+كل الحدود موجبة و مسئلة كل الحدود موجبة يبقى لو
+
+215
+00:23:00,670 --> 00:23:06,690
+ضربت الطرفين في A M يبقى هذا معناته أن الحد النوني
+
+216
+00:23:06,690 --> 00:23:13,150
+زائد واحد أكبر من الحد النوني لكل N أكبر من أو
+
+217
+00:23:13,150 --> 00:23:20,630
+تساوي كم؟ واحدطب كويس، إيش رأيك؟ إيش بفهم من هذا؟
+
+218
+00:23:20,630 --> 00:23:25,390
+إن الحد النوني زاد واحد أكبر من الحد النوني، يبقى
+
+219
+00:23:25,390 --> 00:23:30,070
+ال series increasing ولا decreasing؟ increasing
+
+220
+00:23:30,070 --> 00:23:34,610
+تزاوية، يعني لو عرفت الحد الأول، بكون الحد التاني
+
+221
+00:23:34,610 --> 00:23:39,030
+أكبر منهلو عرفت الحد العاشر، يكون الحد الحدي عشر
+
+222
+00:23:39,030 --> 00:23:43,190
+أكبر منه، لو عرفت الحد الرقمية، يكون الحد الرقمية
+
+223
+00:23:43,190 --> 00:23:47,010
+واحد أكبر منه، لأنه increasing، مظبوط؟ طب تعالوا
+
+224
+00:23:47,010 --> 00:23:51,990
+نتعرف على الحد الأول، يبقى لو جئت وقلت بدأ أخد A
+
+225
+00:23:51,990 --> 00:23:56,510
+واحد يساوي، برجع لرأس المثلة، بدأ أشيل كل N و أحط
+
+226
+00:23:56,510 --> 00:24:03,330
+مكانها؟يبقى بيصير اربعة اقص واحد باربعة واحد
+
+227
+00:24:03,330 --> 00:24:09,550
+factorial تاربيع على مين على الاتنين factorial
+
+228
+00:24:09,550 --> 00:24:16,430
+يبقى اربعة على اتنين ويساوي اتنين إذا الحد الأول
+
+229
+00:24:17,210 --> 00:24:25,550
+إتنين، حد فده يعطيلك إن الحد رقم M دائما و أبدا
+
+230
+00:24:25,550 --> 00:24:33,160
+أكبر من اتنين ولا لأ؟صح ولا لا؟ يبقى الحد سوى يبعث
+
+231
+00:24:33,160 --> 00:24:37,040
+لك الله، احنا اتفاقنا انه increasing، هذا الشرط
+
+232
+00:24:37,040 --> 00:24:41,880
+اللي موجود عندنا، لأن هذا ما قلتش يسوى، N زاد واحد
+
+233
+00:24:41,880 --> 00:24:48,100
+أكبر من N، يبقى ال N دايما اكبر من اتنين لومين، حد
+
+234
+00:24:48,100 --> 00:24:52,870
+لو ال N يمكن هذا رقم خمسميةإذا رقم خمسمية أكبر من
+
+235
+00:24:52,870 --> 00:24:58,570
+اتنين مدام الان أكبر من اتنين يبقى بصير ال limit
+
+236
+00:24:58,570 --> 00:25:08,070
+للان لما ال n tends to infinity أكبر من اتنين هل
+
+237
+00:25:08,070 --> 00:25:14,700
+اتنين هذا ممكن يساوي zero؟يبقى لا يمكن أن يساوي
+
+238
+00:25:14,700 --> 00:25:19,600
+zero يبقى star limit a n لا يمكن أن يساوي zero بال
+
+239
+00:25:19,600 --> 00:25:24,960
+in term test ال series مالها diverse بروح بقول هنا
+
+240
+00:25:24,960 --> 00:25:38,980
+by the in term test the seriesSummation ل 4 to the
+
+241
+00:25:38,980 --> 00:25:47,240
+power n factorial تربيه على 2n factorial by virgin
+
+242
+00:25:47,240 --> 00:25:55,120
+شكل انها طيب احنا اننا الآن بدأ السؤال تلاتة وكل
+
+243
+00:25:55,120 --> 00:26:01,280
+واحد صارت في فكرة شكل مختلفة عن الثانية تماما احنا
+
+244
+00:26:01,280 --> 00:26:06,390
+ايه لما جينا خدنا ال limit ووصلنا لهناحسبنا ال
+
+245
+00:26:06,390 --> 00:26:10,750
+limit لاجناها تساوي واحد صحيح إذا ال ratio test
+
+246
+00:26:10,750 --> 00:26:14,170
+فاشل في الحكم عالميا على ال theories هل هي
+
+247
+00:26:14,170 --> 00:26:18,970
+converge او by birth لما نفشل اختبار ال ratio قول
+
+248
+00:26:18,970 --> 00:26:23,050
+الله ادبر حالك بأي وسيلة لو بدي أعمل مثل المثال
+
+249
+00:26:23,050 --> 00:26:29,830
+الأول حلل واختصر هذا التحليل مش سهل نن ن نقص واعة
+
+250
+00:26:29,830 --> 00:26:32,910
+نن نقص اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+251
+00:26:32,910 --> 00:26:33,850
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+252
+00:26:33,850 --> 00:26:37,670
+اتنين اتنين اتنين اتnطبعا عندك N factorial ترابية
+
+253
+00:26:37,670 --> 00:26:40,510
+يعني لو اختصتنا على ال N factorial بظل ال N
+
+254
+00:26:40,510 --> 00:26:45,490
+factorial كمان فوق ومخلصناش صارت المسألة معقدة اذا
+
+255
+00:26:45,490 --> 00:26:50,270
+بدي ارجع بتفكير اخر بقول النتيجة لانها دي اتنين N
+
+256
+00:26:50,270 --> 00:26:54,230
+زي دي اتنين على اتنين N زي واحد كثر اكبر من الواحد
+
+257
+00:26:54,230 --> 00:26:58,100
+الصحيحطب النتيجة هذه عبارة عن مين؟ عبارة عن خارج
+
+258
+00:26:58,100 --> 00:27:01,980
+قسمة الحد النوني زايد واحد على الحد النوني، إذا
+
+259
+00:27:01,980 --> 00:27:07,800
+صار الحد النوني زايد واحد على الحد النوني أكبر من
+
+260
+00:27:07,800 --> 00:27:12,460
+مين؟ أكبر من واحد، لأن هذا الكسر أصلا أكبر من
+
+261
+00:27:12,460 --> 00:27:18,580
+واحد، هذا شو معناه؟ معناه أن دالة increasing
+
+262
+00:27:18,580 --> 00:27:23,830
+تزايديةتزايدى يعنى لو جبت اى حد الحد اللى بعده
+
+263
+00:27:23,830 --> 00:27:28,370
+بيكون اكبر منه روحنا جبنا الحد الاول طالع باتنين
+
+264
+00:27:28,370 --> 00:27:31,630
+اذا الحد التانى اكبر من اتنين والتالت اكبر من
+
+265
+00:27:31,630 --> 00:27:36,850
+اتنين والعاشر اكبر من اتنين والنونى اكبر من اتنين
+
+266
+00:27:37,140 --> 00:27:41,380
+ما دام أكبر من اتنين إذا لا يمكن أن يساوي zero
+
+267
+00:27:41,380 --> 00:27:45,700
+يبقى صار limit للحد النوني لا يمكن أن يساوي zero
+
+268
+00:27:45,700 --> 00:27:50,160
+ال term test بيقول إذا limit للحد النوني كان لا
+
+269
+00:27:50,160 --> 00:27:55,700
+يساوي zero او infinite يبقى ال series مالها by
+
+270
+00:27:55,700 --> 00:27:59,700
+value هذا اللي احنا قلناها حد بدأ يسأل اي سؤال؟
+
+271
+00:27:59,700 --> 00:28:06,710
+ايوة انت حلتي السؤال بعد مافيشو أنا دايما لما بفشل
+
+272
+00:28:06,710 --> 00:28:13,810
+معايا السؤال بحاول أحله بأي طريقة صحيحة مش احنا
+
+273
+00:28:13,810 --> 00:28:17,910
+موضوعنا ال ratio و ال in through يبقى انا بتطبق
+
+274
+00:28:17,910 --> 00:28:22,310
+الاختبارات هذه لما اتطبقت واحد منهم فشل الاختبار
+
+275
+00:28:22,310 --> 00:28:25,750
+فشل الاختبار روح تدبر حالك شوف يحكم عليه
+
+276
+00:28:25,750 --> 00:28:30,560
+conversion و other way بأي طريقة تقدر عليهامظبوط؟
+
+277
+00:28:30,560 --> 00:28:35,740
+روحت انا استخدمت المعطيات اللى توصلتلى هذه مش
+
+278
+00:28:35,740 --> 00:28:40,020
+هملتها ياماها كلها سفر روحت منها لأن هذه خارج قسمة
+
+279
+00:28:40,020 --> 00:28:43,720
+الحد النوني زاد واحدة لحد النوني واستخدمت استخدام
+
+280
+00:28:43,720 --> 00:28:47,540
+صحيح وقدرت احكم على سيرة هل هي convert ولا diverse
+
+281
+00:28:47,540 --> 00:28:52,260
+ممكن احنا نوصل لزاد واحدة لحد النوني؟فبعدين استخدم
+
+282
+00:28:52,260 --> 00:28:54,760
+ال answer ده مع طول طب و احنا هى اللى عملناه يا
+
+283
+00:28:54,760 --> 00:28:57,420
+ابنك؟ لأ يعني بدون ما أستعمل اختبار و يفشل و اعطول
+
+284
+00:28:57,420 --> 00:29:02,360
+انا مابحب استعمل ال answer نسمع اقتراحك يا بنبصله
+
+285
+00:29:02,360 --> 00:29:06,360
+يا بنقوله تدهاش تاني مرة خليكوا معايا، قول اقتراحك
+
+286
+00:29:06,360 --> 00:29:10,340
+عاد بدون ما استعمل اختبار ال .. ال ratio عطول اكسر
+
+287
+00:29:10,340 --> 00:29:12,560
+من حد انهني و اعطولها من حد انهني كيف بيكتيجي
+
+288
+00:29:12,560 --> 00:29:16,720
+اسمه؟ هك يعني زى التبصيتوالله كيف بدك تبص فهو
+
+289
+00:29:16,720 --> 00:29:20,860
+factorial تربية و factorial تاعة؟ كيبت تجسمه؟ هو
+
+290
+00:29:20,860 --> 00:29:24,380
+ال polynomial على ال polynomial مشان تجسمه؟ زي ما
+
+291
+00:29:24,380 --> 00:29:28,800
+شعرنا اذا وضعنا .. اهو ياولا .. زي ايه؟ زي ما
+
+292
+00:29:28,800 --> 00:29:33,970
+انجسمت ياولاطيب انا انت ايش رأيك؟ امسك جلمك و
+
+293
+00:29:33,970 --> 00:29:38,110
+ورقتك و اجسمليه معاك من هنا مش لأخر المحاضرة،
+
+294
+00:29:38,110 --> 00:29:41,850
+للمحاضرة الجاية تبعت ايه؟ بكرا ولا بعد بكرا؟ بكرا،
+
+295
+00:29:41,850 --> 00:29:45,930
+معاك من هنا لبكرا، و بتجيبلي النتيجة، ماشي؟ و اذا
+
+296
+00:29:45,930 --> 00:29:48,990
+ماكفهش لبكرا لبعد بكرا كمان، المحاضرة تبعت بعد
+
+297
+00:29:48,990 --> 00:29:57,160
+بكرا، فلازم؟طيب يجب الأن ننتقل إلى مثال آخر يختلف
+
+298
+00:29:57,160 --> 00:30:01,940
+كمان عن هذه الأمثلة في الفكرة بتبعته يبقى بالدالي
+
+299
+00:30:01,940 --> 00:30:11,220
+إلى المثال رقم أربع يقول لي a1 يساوي ثلاثة و الحد
+
+300
+00:30:11,220 --> 00:30:17,820
+إنهني زائد واحد يساوي n على n زائد واحد في ال a n
+
+301
+00:30:21,170 --> 00:30:25,450
+خلّيني أقول لك في الكتاب بيجي 6 مثال من هذا
+
+302
+00:30:25,450 --> 00:30:30,650
+الموديل وهذا واحد منهم برضه بيقول لي شوف هل هذه ال
+
+303
+00:30:30,650 --> 00:30:33,970
+series converge و الله ضعيفة بعدين بطلع فيها بقول
+
+304
+00:30:33,970 --> 00:30:37,750
+انا مش عارف شكل ال series ايه حتى ابدأ اخد ال
+
+305
+00:30:37,750 --> 00:30:41,110
+ratio test او ال info انا مش عارف ما هو شكل ال
+
+306
+00:30:41,110 --> 00:30:46,710
+series لكن لاحظ المعطيات اللي معطيها لك علاقة تربط
+
+307
+00:30:46,710 --> 00:30:53,360
+بين الحد نوني زائد واحد والحدوكانوا بيغششك بيقولك
+
+308
+00:30:53,360 --> 00:30:57,620
+خد او استخدم اختبار النسبة لان اختبار النسبة هو
+
+309
+00:30:57,620 --> 00:31:00,960
+علاقة من الحد النوني زاد واحد من الحد النوني صحيح
+
+310
+00:31:00,960 --> 00:31:06,820
+ولا لا؟ اذا انا هذه هاها بقدر اكتبها على الشكل
+
+311
+00:31:06,820 --> 00:31:16,730
+التالي انالان زائد واحد على الان يسوى ان على ان
+
+312
+00:31:16,730 --> 00:31:21,850
+زائد واحد يعني كأنه ايش؟ كأنه قلي اجسم الحد النوني
+
+313
+00:31:21,850 --> 00:31:24,890
+على الحد النوني زائد واختصر وهي نتيجة الاختصارات
+
+314
+00:31:24,890 --> 00:31:29,240
+رايحني مش زي اللي قبل انا لسه قعدت اختصريبقى هذا
+
+315
+00:31:29,240 --> 00:31:35,260
+قلع أبسط من هذا، يبدأ مجد اختصف، لا لا جاهز وخالص،
+
+316
+00:31:35,260 --> 00:31:39,680
+يبقى مش لازم لي شكل الحد النوني، لكن يمكن يلزم
+
+317
+00:31:39,680 --> 00:31:44,520
+الله أعلم، مابندريش، إذا أنا جبت علاقة بتربط الحد
+
+318
+00:31:44,520 --> 00:31:47,220
+النوني زاد واحد مع الحد النوني، إذا باخد ال limit
+
+319
+00:31:47,220 --> 00:31:54,440
+دغري، طيب إن أنا أخد ال limitيبقى هذا limit لل a n
+
+320
+00:31:54,440 --> 00:31:59,300
+زائد واحد على ال a n لما ال a n tends to infinity
+
+321
+00:31:59,300 --> 00:32:03,660
+limit لما ال a n tends to infinity لل a n على a n
+
+322
+00:32:03,660 --> 00:32:10,690
+زائد واحد يسوى جداش طب مين هو هذا؟ شو اسمه؟الراشيو
+
+323
+00:32:10,690 --> 00:32:15,810
+تيست فشل؟ الحمد لله يدوب سلكت حالنا غير و راح فشل
+
+324
+00:32:15,810 --> 00:32:23,370
+كمان يبقى باقى بقول ذا راشيو تيست فال
+
+325
+00:32:26,380 --> 00:32:30,560
+طيب يالا افكرلك فى طريقة تانى بقول اه ببطلها فى
+
+326
+00:32:30,560 --> 00:32:35,640
+المثل بقول اسمع انت وياه بقول ا واحد يسوى تلتة
+
+327
+00:32:35,640 --> 00:32:40,020
+ماعطيهاش للبلاش هذه ماعطيت فى المثل إذا إلها دور
+
+328
+00:32:40,020 --> 00:32:46,660
+فى الحل إذا بدي أروح أشوف ماهو دورها فى الحل بقوله
+
+329
+00:32:46,660 --> 00:32:53,620
+كويس ال a واحد يسوى قداش تلتة هل بنقدر نحسب a
+
+330
+00:32:53,620 --> 00:33:01,240
+اتنينأه كيف اتنين بدي اروح اكتبها ا واحد زائد واحد
+
+331
+00:33:01,240 --> 00:33:07,840
+يبقى صار الواحد اللي عندي هذا مكان مين؟ مكان ال N
+
+332
+00:33:07,840 --> 00:33:13,740
+يبقى بدي أشيل كل N هنا و أحط مكانها يبقى هذه بدي
+
+333
+00:33:13,740 --> 00:33:19,480
+أساوي واحد على واحد زائد واحد ا واحد ا واحد يبقى
+
+334
+00:33:19,480 --> 00:33:26,030
+كم؟ تلاتة واحد زائد واحديبقى الحد الثاني طلع في
+
+335
+00:33:26,030 --> 00:33:33,250
+الجدار ثلاثة على اتنين طيب نجيب الحد التالتإتنين
+
+336
+00:33:33,250 --> 00:33:39,430
+زائد واحد يبقى هشيل كل ان وحق مكانها اتنين وهذه
+
+337
+00:33:39,430 --> 00:33:47,350
+تصبح اتنين يبقى صارت هذه طولتين وهذه تلاتة على
+
+338
+00:33:47,350 --> 00:33:52,810
+اتنين يبقى صارت جدا واحد فبشرح كل واحد بقدر اكتبها
+
+339
+00:33:52,810 --> 00:33:59,930
+تلاتة على تلاتةمش مشكلة قبلش هيك لحاجة في نفسي يا
+
+340
+00:33:59,930 --> 00:34:06,130
+عقوب ستعرفونها بعد قليل يبقى ايه؟ اربع قلي ملا كده
+
+341
+00:34:06,130 --> 00:34:15,090
+بقول اربع اللي ايه تلاتة plus one تلاتة على تلاتة
+
+342
+00:34:15,090 --> 00:34:22,970
+plus one ايه تلاتة تلت اربع فاهمين في واحد يبقى
+
+343
+00:34:22,970 --> 00:34:30,150
+تلاتة على اربعإيه خمسة وبيكفي؟ إيه خمسة إيه أربعة
+
+344
+00:34:30,150 --> 00:34:36,110
+زائد واحد يبقى متساوي أربعة على أربعة زائد واحد
+
+345
+00:34:36,110 --> 00:34:45,010
+إيه أربعة يبقى أربعة أخمس في تلت اربع يسوي تلتة
+
+346
+00:34:45,010 --> 00:34:51,460
+على خمسةإذا بناء عليه بقدر أعرف ال series اللي
+
+347
+00:34:51,460 --> 00:34:58,720
+عندنا فبروح بقول لها the series is الحد الأول
+
+348
+00:34:58,720 --> 00:35:03,880
+تلاتة على واحد التاني تلاتة على اتنين تلاتة على
+
+349
+00:35:03,880 --> 00:35:09,820
+تلاتة تلاتة على أربعة تلاتة على خمسة بتضلك ماشي
+
+350
+00:35:09,820 --> 00:35:15,450
+لغاية تلاتة على ان إلى آخرينتمام؟ يبقى ال series
+
+351
+00:35:15,450 --> 00:35:22,910
+هذه مين؟ اللي هي تساوي summation لتلاتة على N من
+
+352
+00:35:22,910 --> 00:35:29,710
+عند ال N تساوي واحد لغاية infinity تلاتة summation
+
+353
+00:35:29,710 --> 00:35:35,270
+لواحد على N من N equal one to infinity مين هي هذه؟
+
+354
+00:35:35,920 --> 00:35:41,300
+مين هي هذه؟ Diverge Harmonic Series يبقى هذه
+
+355
+00:35:41,300 --> 00:35:48,560
+Diverge Harmonic Series يبقى يستطيعنا حل هذه
+
+356
+00:35:48,560 --> 00:35:53,620
+المسألة و الحكم عليها هل هي Converge او Diverge
+
+357
+00:35:53,620 --> 00:35:58,780
+لحد هنا انتهى هذا ال section و اليكم ارقام المسائل
+
+358
+00:35:58,780 --> 00:36:09,560
+اللي هي عشر خمسةExercises عشرة خمسة المسائل من
+
+359
+00:36:09,560 --> 00:36:18,020
+واحد لاتنين وستين اللي هي multiple of
+
+360
+00:36:18,020 --> 00:36:23,600
+three اللي هي مضاعفات من مضاعفات التلاتة
+
+361
+00:36:44,900 --> 00:36:52,240
+الان بدنا نجي ل section عشرة ستة بتكلم
+
+362
+00:36:52,240 --> 00:36:57,140
+عن ال alternating series
+
+363
+00:37:03,250 --> 00:37:07,770
+بنعطي تعريف لل alternating series احنا سابقا كله
+
+364
+00:37:07,770 --> 00:37:12,290
+بنتكلم عن series with positive term يعني من عند ال
+
+365
+00:37:12,290 --> 00:37:16,930
+test لغاية اخر اختبارين في ال section الماضي كله
+
+366
+00:37:16,930 --> 00:37:22,010
+series with positive term ندل الآن لل alternating
+
+367
+00:37:22,010 --> 00:37:26,570
+series اللي هي عبارة حد موجب و حد سالب من اول ال
+
+368
+00:37:26,570 --> 00:37:33,400
+series حتى اخرها يبجى definitionThe alternating
+
+369
+00:37:33,400 --> 00:37:41,600
+series
+
+370
+00:37:41,600 --> 00:37:53,440
+is an expression in the form الشكل التالي
+
+371
+00:37:57,670 --> 00:38:02,850
+من n equal one to infinity لسالب واحد to the power
+
+372
+00:38:02,850 --> 00:38:06,150
+n plus one لل N
+
+373
+00:38:08,400 --> 00:38:16,500
+حبينا نتعرف على شكل العناصر هدف تديلك a1- a2 زائد
+
+374
+00:38:16,500 --> 00:38:24,800
+a3- a4 زائد زائد ناقص واحد to the power n plus one
+
+375
+00:38:24,800 --> 00:38:33,580
+لل a n زائد الاخرين four summation من n equal one
+
+376
+00:38:33,580 --> 00:38:39,840
+to infinityلا ناقص واحد to the power n لل a n يبقى
+
+377
+00:38:39,840 --> 00:38:46,940
+سالب a one زائد a two سالب a three زائد a four
+
+378
+00:38:46,940 --> 00:38:52,320
+سالب زائد ناقص واحد to the power n a n زائد إلى
+
+379
+00:38:52,320 --> 00:38:52,880
+آخرى
+
+380
+00:39:32,590 --> 00:39:36,670
+لو رجعنا للاختبارات السابقة كانت الاختبارات
+
+381
+00:39:36,670 --> 00:39:40,430
+السابقة كلها تتحدث عن series with positive term
+
+382
+00:39:40,430 --> 00:39:43,350
+فعادة الاختبار الأول اللي هو ال test with positive
+
+383
+00:39:43,350 --> 00:39:47,670
+term لكن هذا ال section ينتقل إلى alternating
+
+384
+00:39:47,670 --> 00:39:53,780
+series يعني حد موجب و حد ثالثممكن يكون الحد الأول
+
+385
+00:39:53,780 --> 00:39:58,080
+موجب وممكن يكون الحد الأول سالب إن كان الأول موجب
+
+386
+00:39:58,080 --> 00:40:02,420
+اللي بعده سالب موجب سالب موجب سالب لغاية infinity
+
+387
+00:40:02,420 --> 00:40:07,460
+إن كان الحد الأول سالب التاني موجب سالب موجب سالب
+
+388
+00:40:07,460 --> 00:40:12,350
+موجب و هكذا لغاية ايه؟ لغاية infinityيبقى هذا
+
+389
+00:40:12,350 --> 00:40:15,870
+الشكل او هذا الشكل ليه اتنين اسمه alternating
+
+390
+00:40:15,870 --> 00:40:19,330
+series سواء كانت ال series اللي عندنا هذه او ال
+
+391
+00:40:19,330 --> 00:40:25,050
+series اللي عندنا هذه السؤال هوكيف بدنا نحكم على
+
+392
+00:40:25,050 --> 00:40:29,570
+هذه ال series هل هي converge او diverge؟ بيقولك اه
+
+393
+00:40:29,570 --> 00:40:34,390
+ال section هذا يعتبر مراجع ليه ما سبقت دراسته
+
+394
+00:40:34,390 --> 00:40:39,330
+بالنسبة لل sections الماضية يبقى كأنه هذا بيقول
+
+395
+00:40:39,330 --> 00:40:44,390
+الحين تتطلع في المسألة و بتروح تستخدم الاختبار
+
+396
+00:40:44,390 --> 00:40:49,810
+اللي تراه مناسبا بالنسبة لمين للمسألةلذلك بدنا
+
+397
+00:40:49,810 --> 00:40:56,950
+نروح ناخد نظرية هذه النظرية تتحدث عن ال
+
+398
+00:40:56,950 --> 00:41:15,210
+convergence of the alternating series شوف
+
+399
+00:41:15,210 --> 00:41:20,020
+ايش بتقول النظريةبيقول انك بتجي على ال alternating
+
+400
+00:41:20,020 --> 00:41:26,340
+series و بتسيبك من الإشارة السالبة اللى عندك هذه و
+
+401
+00:41:26,340 --> 00:41:32,520
+هذه كلها السالبة تطلع لل a1 لحال و ال a2 و ال a3 و
+
+402
+00:41:32,520 --> 00:41:37,620
+ال a4 هل كلهم موجب ولا لا إذا كلهم موجب بنقول آه
+
+403
+00:41:37,620 --> 00:41:43,110
+خلصنا الخطوة الأولى كل الحدود موجبةبنجي للخطوة
+
+404
+00:41:43,110 --> 00:41:47,510
+التانية هل هي decreasing ولا لأ يعني هل الحد
+
+405
+00:41:47,510 --> 00:41:52,930
+النوني اللي عندي أكبر من الحد النوني زاد واحد ولا
+
+406
+00:41:52,930 --> 00:41:58,670
+لأ اتحقق الشرط التاني روحت أخدت limit للحد النوني
+
+407
+00:41:58,670 --> 00:42:03,330
+لما ال N بتروح للمالة نهاية طلع الناتج يساوي zero
+
+408
+00:42:03,330 --> 00:42:07,650
+ان تحققت الشروط التلاتة دي بقول ال alternating
+
+409
+00:42:07,650 --> 00:42:15,190
+series مالهاالكلام اللى سمعته بدنا نروح نكتبه لك
+
+410
+00:42:15,190 --> 00:42:20,950
+فبتقول هنا the series النظرية
+
+411
+00:42:20,950 --> 00:42:25,910
+بتقول ما ياتى اللى هى summation من n equal one to
+
+412
+00:42:25,910 --> 00:42:32,110
+infinity لسلب واحد to the power n plus one لل a n
+
+413
+00:42:32,110 --> 00:42:38,050
+converge if the following
+
+414
+00:42:41,030 --> 00:42:48,350
+the three conditions are
+
+415
+00:42:48,350 --> 00:42:54,210
+satisfied إذا
+
+416
+00:42:54,210 --> 00:42:59,090
+تحققت الشروط التلاتة بقدر أقول إن ال series هذه
+
+417
+00:42:59,090 --> 00:43:06,690
+مالها convert النقطة الأولى the a and's كل الحدود
+
+418
+00:43:06,690 --> 00:43:09,750
+are all positive
+
+419
+00:43:20,050 --> 00:43:29,350
+الحدود الموجبة هذه are non increasing
+
+420
+00:43:29,350 --> 00:43:35,210
+ليست تزايدية يعني ممكن تكون decreasing أو ممكن
+
+421
+00:43:35,210 --> 00:43:46,170
+تكون constant that isان الان اكبر من او يسوى الان
+
+422
+00:43:46,170 --> 00:43:52,850
+زائد واحد لكل الان اللي اكبر من او يسوى capital N
+
+423
+00:43:52,850 --> 00:44:04,730
+for some integer capital N نقطة ثالثة والاخيرة
+
+424
+00:44:04,730 --> 00:44:13,250
+limit للانلما ال intensity infinity بده يساوي zero
+
+425
+00:44:13,250 --> 00:44:16,710
+example
+
+426
+00:44:16,710 --> 00:44:24,830
+determine
+
+427
+00:44:24,830 --> 00:44:28,470
+whether
+
+428
+00:44:28,470 --> 00:44:33,070
+the
+
+429
+00:44:33,070 --> 00:44:35,010
+series
+
+430
+00:44:52,170 --> 00:44:56,570
+مرة تانية بقول الان بدي اشوف ال series هل هي
+
+431
+00:44:56,570 --> 00:45:02,340
+converge ولا diverge بدي اروح على الشروط التلاتةهل
+
+432
+00:45:02,340 --> 00:45:07,460
+كل الحدود موجب ولا لأ؟ باخد و بسيب الإشارة السلبية
+
+433
+00:45:07,460 --> 00:45:11,600
+اي واحد لحال اتنين اتلتا كلهم موجب ولا لأ؟ كلهم
+
+434
+00:45:11,600 --> 00:45:15,920
+ماشي الحال النقطة التانية هل هدول بيشكلولي
+
+435
+00:45:15,920 --> 00:45:21,180
+increasing و non increasing series ولا لأ؟ الشرطة
+
+436
+00:45:21,180 --> 00:45:26,000
+تالي ال limit للحد النوني يسوى zero ولا لأ؟ ان حدث
+
+437
+00:45:26,000 --> 00:45:32,460
+ذلك يبقى seriesconvert طيب تعالى نشوف نطبق هذا على
+
+438
+00:45:32,460 --> 00:45:36,380
+أرض الواقع هالهي اللى اغطيتها دول هدى شو اسمها؟
+
+439
+00:45:36,380 --> 00:45:40,720
+واحدة من مين هى؟ Harmonic Harmonic اللى هى ايه؟
+
+440
+00:45:40,720 --> 00:45:44,880
+diverse طب ال alternating harmonic اللى نشوف هالهى
+
+441
+00:45:44,880 --> 00:45:50,260
+converge والله diverse اذا بدي اخد اللى هو النقطة
+
+442
+00:45:50,260 --> 00:45:59,820
+الاولى ال and the and الحدود اللى هو مين؟وحد على ن
+
+443
+00:45:59,820 --> 00:46:03,920
+يعني ثبت الإشارات السالبة كلها هل هذه موجة ولا
+
+444
+00:46:03,920 --> 00:46:13,790
+سالبة كلها موجة are all positiveالشرط التاني الحد
+
+445
+00:46:13,790 --> 00:46:18,490
+النوني بده يساوي واحد على ان اكبر من الحد النوني
+
+446
+00:46:18,490 --> 00:46:22,730
+زايد واحد اللي هو واحد على ان زايد واحد يبقى هذه
+
+447
+00:46:22,730 --> 00:46:29,010
+decreasing لكل الان اللي اكبر من او تساوي الواحد
+
+448
+00:46:29,740 --> 00:46:35,760
+الشرط التالت بدنا limit لل a n لما ال n tends to
+
+449
+00:46:35,760 --> 00:46:40,480
+infinity يبقى limit ل 1 على n لما ال n tends to
+
+450
+00:46:40,480 --> 00:46:48,760
+infinity يسوى جدّه ايه؟ Zero يبقى by the above
+
+451
+00:46:48,760 --> 00:46:57,880
+theorem the alternating harmonic
+
+452
+00:47:05,360 --> 00:47:09,760
+يبقى ال harmonic diverse لكن ال alternating
+
+453
+00:47:09,760 --> 00:47:15,460
+harmonic series converge صحيح
+
+454
+00:47:15,460 --> 00:47:19,320
+لأ المرة جاية ان شاء الله بتقولك وقتاش ال
+
+455
+00:47:19,320 --> 00:47:22,820
+alternating series بتبقى converge
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/RUWtLhZpb-g.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/RUWtLhZpb-g.srt
new file mode 100644
index 0000000000000000000000000000000000000000..16b701c34ab99d11e1a3a92ced2041e6edb3904d
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/RUWtLhZpb-g.srt
@@ -0,0 +1,2039 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:14,990 --> 00:00:19,870
+بنكمل الـ section اللي ابتدأناه المرة الماضية وهو
+
+3
+00:00:19,870 --> 00:00:24,030
+الـ hyperbolic functions طبعا عرفنا الدوال
+
+4
+00:00:24,030 --> 00:00:26,910
+الزائدية الستة اللي هي الـ hyperbolic functions
+
+5
+00:00:26,910 --> 00:00:30,830
+اللي هو sinh x, cosh x, tanh x,
+
+6
+00:00:31,330 --> 00:00:35,610
+coth x, sech x, csch x يبقى هم اللي 
+
+7
+00:00:35,610 --> 00:00:41,130
+عرفناهم بدلالة الـ exponential function e<sup>x</sup> و e<sup>-x</sup> ثم
+
+8
+00:00:41,130 --> 00:00:45,970
+رسمنا الرسومات الستة هذا آخر ما أخذنا المرة
+
+9
+00:00:45,970 --> 00:00:54,390
+الماضية الآن فينا بعض المتطابقات المرتبطة بالدوال
+
+10
+00:00:54,390 --> 00:01:00,370
+الزائدية يبقى بينا نيجي هنا اللي هو some
+
+11
+00:01:00,370 --> 00:01:03,030
+identities
+
+12
+00:01:06,440 --> 00:01:21,700
+بعض المتطابقات
+
+13
+00:01:21,700 --> 00:01:26,920
+المثلثية التي درسناها في Calculus A أول متطابقة
+
+14
+00:01:26,920 --> 00:01:32,100
+كمان cos<sup>2</sup> x + sin<sup>2</sup> x يساوي 1 
+
+15
+00:01:32,100 --> 00:01:38,240
+هنا في متطابقة مناظرة لها تماما أول متطابقة من
+
+16
+00:01:38,240 --> 00:01:44,180
+هذه المتطابقات وحنقول النقطة الأولى منها اللي هي
+
+17
+00:01:44,180 --> 00:01:51,760
+cosh<sup>2</sup> x - sinh<sup>2</sup> x كله بده يساوي كده؟
+
+18
+00:01:51,760 --> 00:01:56,720
+بده يساوي 1 اللي هناك تبع المتطابقات المثلثية
+
+19
+00:01:56,720 --> 00:02:02,600
+كانت بمين بالذات البرهان very easy كيف very easy؟
+
+20
+00:02:02,600 --> 00:02:06,200
+أبدا المرة اللي فاتت كتبنا cosh اللي هو الكوش و
+
+21
+00:02:06,200 --> 00:02:10,800
+sinh فقلنا sinh x هي e<sup>x</sup> - e<sup>-x</sup> على 2 و التاني e<sup>x</sup> + e<sup>-x</sup> على 2
+
+22
+00:02:10,800 --> 00:02:15,660
+ربع عادي و ربع عادي و اطرحهم من بعض بيطلع منك
+
+23
+00:02:15,660 --> 00:02:19,440
+واحد صحيح و واحد صحيح و اطرحهم من بعض بيطلع منك
+
+24
+00:02:19,440 --> 00:02:26,660
+واحد صحيح يبقى very easy من هذه سأخرج اثنتين الأولى
+
+25
+00:02:26,660 --> 00:02:33,260
+فيهم شكل التالي اقسم على cosh<sup>2</sup> يبقى لو قسمت
+
+26
+00:02:33,260 --> 00:02:38,100
+على cosh<sup>2</sup> يبقى لدي 1 - sinh<sup>2</sup> على 
+
+27
+00:02:38,100 --> 00:02:43,300
+cosh<sup>2</sup> واليمين tanh<sup>2</sup> يبقى هنا tanh
+
+28
+00:02:43,300 --> 00:02:49,380
+<sup>2</sup> x يساوي 1 على cosh<sup>2</sup> اللي هو مقلوب من
+
+29
+00:02:49,380 --> 00:02:58,450
+sinh<sup>2</sup> x كمان هطلع واحدة ثالثة من الأصلية اللي
+
+30
+00:02:58,450 --> 00:03:04,590
+عندنا هذه قبل ما قسمت على cosh<sup>2</sup> هقسم على sinh
+
+31
+00:03:04,590 --> 00:03:09,450
+<sup>2</sup> يبقى لو قسمت على sinh<sup>2</sup> بيصير cosh<sup>2</sup>
+
+32
+00:03:09,450 --> 00:03:17,020
+على sinh<sup>2</sup> اللي هو coth<sup>2</sup>x - 1 يساوي 1
+
+33
+00:03:17,020 --> 00:03:22,620
+على sinh<sup>2</sup> اللي هو 1 على csch<sup>2</sup> x
+
+34
+00:03:22,620 --> 00:03:28,340
+بالشكل اللي عندنا هذا يبقى دول ثلاث متطابقات لكن
+
+35
+00:03:28,340 --> 00:03:33,420
+في الحقيقة هي متطابقة واحدة مش ثلاثة نقلت انترا
+
+36
+00:03:33,420 --> 00:03:38,820
+بالولدناهم من الأصلية اللي موجود عندنا نمر اثنين في
+
+37
+00:03:38,820 --> 00:03:46,300
+عندنا كمان اللي هو sinh 2x يساوي 2 sinh x
+
+38
+00:03:46,300 --> 00:03:53,410
+في cosh x اللي اثبات بسيطة جدا عند قيمة الـ sinh
+
+39
+00:03:53,410 --> 00:03:57,530
+وعند قيمة الـ cosh تضربهم في بعض تضربهم في 2
+
+40
+00:03:57,530 --> 00:04:03,250
+بيطلع عندك sinh 2x اللي بيتساوي من e<sup>2x</sup> - e<sup>-2x</sup> على 2 يعني
+
+41
+00:04:03,250 --> 00:04:09,210
+كل x بيجي مكان مجداش
+
+42
+00:04:09,210 --> 00:04:11,430
+كل x بيجي مكان مجداش 
+
+43
+00:04:21,500 --> 00:04:28,040
+تشبه تماما تبع الدوال المثلثية اللي هو sin 2x يساوي 2
+
+44
+00:04:28,040 --> 00:04:39,530
+sin x cos x نمر ثلاثة cosh 2x اللي هي
+
+45
+00:04:39,530 --> 00:04:48,650
+عبارة عن cosh<sup>2</sup> x + sinh<sup>2</sup> x لا بزيادة
+
+46
+00:04:48,650 --> 00:04:53,910
+بناقص تبع 2 cos 2x cos 2x تبع
+
+47
+00:04:53,910 --> 00:04:58,130
+الدالة المثلثية كانت cos 2x يساوي cos
+
+48
+00:04:58,130 --> 00:05:05,260
+<sup>2</sup> x - sin<sup>2</sup> x هذا بمين؟ بالزائد في كمان
+
+49
+00:05:05,260 --> 00:05:10,940
+صيغتين أخرتين لـ cosh 2x، شو الصيغتين الاتنين
+
+50
+00:05:10,940 --> 00:05:16,000
+هدول؟ يساوي، هذه الصيغة الأولى مكتوبة بدلالة الـ sinh
+
+51
+00:05:16,000 --> 00:05:20,280
+والـ cosh، أنا مرة بدي أكتبها بدلالة الـ cosh ومرة ثانية
+
+52
+00:05:20,280 --> 00:05:26,040
+بدي أكتبها بدل الـ 8 sinh يبقى بدي أدي للأولى أدي و
+
+53
+00:05:26,040 --> 00:05:27,860
+أدي و أدي و أدي و أدي و أدي و أدي و أدي و أدي و
+
+54
+00:05:27,860 --> 00:05:28,260
+أدي و أدي و أدي و أدي و أدي و أدي و أدي و أدي و
+
+55
+00:05:28,260 --> 00:05:29,540
+أدي و أدي و أدي و أدي و أدي و أدي و أدي و أدي و
+
+56
+00:05:29,540 --> 00:05:29,620
+أدي و أدي و أدي و أدي و أدي و أدي و أدي و أدي و
+
+57
+00:05:29,620 --> 00:05:30,960
+أدي و أدي و أدي و أدي و أدي و أدي و أدي و أدي و
+
+58
+00:05:30,960 --> 00:05:38,830
+أدي و أدي و أدي و أدي و أدي و أدي و أدي يبقى من هنا
+
+59
+00:05:38,830 --> 00:05:47,150
+من الأولى sinh<sup>2</sup>x يساوي cosh<sup>2</sup>x - 1 إذا لو شيلت
+
+60
+00:05:47,150 --> 00:05:53,430
+sinh<sup>2</sup> و حطيت بدالها cosh<sup>2</sup> - 1 بيصير 2 cosh<sup>2</sup>
+
+61
+00:05:53,430 --> 00:05:59,890
+- 1 يبقى هذه 2 cosh<sup>2</sup>
+
+62
+00:06:07,550 --> 00:06:16,040
+from one من الأول طيب هذا الصيغة الثانية بدلالة
+
+63
+00:06:16,040 --> 00:06:20,920
+للصيغة الثالثة بدل ما كتبتها بدلالة الـ cosh بدي
+
+64
+00:06:20,920 --> 00:06:26,520
+أكتبها بدلالة 2 sinh إذا cosh<sup>2</sup> هذه ليه
+
+65
+00:06:26,520 --> 00:06:32,360
+تساوي sinh<sup>2</sup> + 1 عندك sinh<sup>2</sup> و
+
+66
+00:06:32,360 --> 00:06:36,080
+عندك sinh<sup>2</sup> يبقى 2 sinh<sup>2</sup> +
+
+67
+00:06:36,080 --> 00:06:42,950
+واحد يبقى هذه 2 sinh<sup>2</sup> x + 1 وهذا
+
+68
+00:06:42,950 --> 00:06:49,410
+كمان from one زي ما هي إذا أصبح عندي cosh 2x
+
+69
+00:06:49,410 --> 00:06:55,270
+لها ثلاث صيغ زي ما cos 2x لها ثلاث صيغ
+
+70
+00:06:55,270 --> 00:07:02,310
+تمامًا مع الفرق في الإشارات طب بدي أروح للمتطابقة
+
+71
+00:07:02,310 --> 00:07:08,300
+الرابعة الرابعة بدي أطلعها من الثلاثة الرابعة نطلع
+
+72
+00:07:08,300 --> 00:07:15,980
+من الثلاثة كيف؟ بدها تجيب cosh
+
+73
+00:07:15,980 --> 00:07:21,740
+<sup>2</sup> x بدلالة cosh 2x بنقول بسيطة أنجل الواحد على
+
+74
+00:07:21,740 --> 00:07:27,520
+الشيء الثاني و اقسم على مين؟ بتحصل على مين؟ على
+
+75
+00:07:27,520 --> 00:07:35,240
+cosh<sup>2</sup> x بده يساوي تمام يبقى cosh<sup>2</sup> x هات
+
+76
+00:07:35,240 --> 00:07:41,640
+هات هنا بيصير cosh 2x + وكل قسمتها 2 يعني
+
+77
+00:07:41,640 --> 00:07:51,060
+النصف في مين؟ في cosh 2x + 1 تمام هذه هي النقطة
+
+78
+00:07:51,060 --> 00:07:57,040
+الأولى النقطة الثانية طبعا يجب أن يعملها بنفس
+
+79
+00:07:57,040 --> 00:08:01,560
+الطريقة يجب أن يجيب من هنا sinh<sup>2</sup> يبقى
+
+80
+00:08:01,560 --> 00:08:08,580
+sinh<sup>2</sup> x يساوي طبعا يجيب من هنا على الشاشة
+
+81
+00:08:08,580 --> 00:08:14,300
+الثانية يجيب من إشارة سالب و يقسم على 2 يبقى نصف
+
+82
+00:08:14,300 --> 00:08:21,900
+في cosh 2x - 1 بالشكل اللي عندنا و
+
+83
+00:08:21,900 --> 00:08:26,860
+رجعنا بالذاكرة إلى الورق للدوال المثلثية كان عندك
+
+84
+00:08:26,860 --> 00:08:32,220
+cos<sup>2</sup> x يساوي النصف في 1 + cos 2x
+
+85
+00:08:32,220 --> 00:08:39,440
+وكان عندك sin<sup>2</sup> x نصف في 1 - cos 2x
+
+86
+00:08:39,440 --> 00:08:43,780
+x الفرق بينهم إشارة ناقص وهذا الكمال الفرق بينهم
+
+87
+00:08:43,780 --> 00:08:48,240
+إشارة ناقص زي ما أنت شايف هذا النقطة الرابعة نجي
+
+88
+00:08:48,240 --> 00:08:53,370
+للنقطة الخامسة النقطة الخامسة بدي إياكوا أن تطلعوها
+
+89
+00:08:53,370 --> 00:08:58,830
+لحالكم من تعريف الاتنين كيف؟ بدي cosh x
+
+90
+00:08:58,830 --> 00:09:04,530
++ sinh x يساوي يلا اجمع لي شوف وعندك هي
+
+91
+00:09:04,530 --> 00:09:09,410
+مكتوبة معاك هي قيمة الـ cosh بدلالة الـ exponential و
+
+92
+00:09:09,410 --> 00:09:12,670
+قيمة الـ sinh بدلالة الـ exponential و يلا اجمعوا و
+
+93
+00:09:12,670 --> 00:09:19,450
+اعطيني النتيجة يلا مين جمعها؟ e<sup>x</sup> و x
+
+94
+00:09:19,450 --> 00:09:23,550
+على 2؟ يعني e<sup>x</sup> و x بس يبقى النتيجة فعلا
+
+95
+00:09:23,550 --> 00:09:29,850
+e<sup>x</sup> و x هذا النقطة الأولى النقطة الثانية لو
+
+96
+00:09:29,850 --> 00:09:37,930
+قلت cosh x - sinh x يلا اعطينا النتيجة سالب
+
+97
+00:09:37,930 --> 00:09:49,820
+e<sup>-x</sup> يبقى e<sup>-x</sup> طبعا، يبقى دول
+
+98
+00:09:49,820 --> 00:09:53,280
+استنتاجهم استنتاج بكل بساطة جمع عادي جدا من
+
+99
+00:09:53,280 --> 00:09:58,620
+التعريف يبقى لكن هذه أفادني أنه تبسيط المقدار هذا
+
+100
+00:09:58,620 --> 00:10:02,120
+كله بدل مكتب إذا لجيتهم 2 بقدر أشيله محق بدلهم
+
+101
+00:10:02,120 --> 00:10:07,220
+و 2 هدول إذا لجيتهم بقدر أشيله محق بدلهم طيب
+
+102
+00:10:07,220 --> 00:10:12,360
+نمرتي 6 بدخلك كمان أنت اطلعها لحالك اطلع لي في
+
+103
+00:10:12,360 --> 00:10:17,630
+cosh عندك في التعريف يلا افتح على التعريف عندك cosh
+
+104
+00:10:17,630 --> 00:10:21,790
+x يسمى e<sup>x</sup> + e<sup>-x</sup> على 2
+
+105
+00:10:21,790 --> 00:10:27,990
+مظبوط؟ بدي أشوف هذه odd والله even يبقى بدي أشيل
+
+106
+00:10:27,990 --> 00:10:32,330
+كل x وأحط مكانها -x يلا أشيل وأشوف هذه
+
+107
+00:10:32,330 --> 00:10:37,370
+تتغير والله بيظل هي هي هي هي هي مظبوط؟ إذن الـ cosh
+
+108
+00:10:37,370 --> 00:10:43,810
+عبارة عن even function طيب فلا نلسشهو اللي هي
+
+109
+00:10:43,810 --> 00:10:49,210
+مقلوبة؟ طلع
+
+110
+00:10:49,210 --> 00:10:59,760
+فيها كويس even زيها إذا أنا عندي اثنتين من هدول even
+
+111
+00:10:59,760 --> 00:11:06,180
+والباقي الأربعة odd كل الأربعة الباقية odd يبقى
+
+112
+00:11:06,180 --> 00:11:15,900
+هنا بجي بقول اللي هو sinh x and cosh x اللي هي
+
+113
+00:11:15,900 --> 00:11:19,040
+مقلوبة are even
+
+114
+00:11:23,120 --> 00:11:35,000
+but the others are odd لكن الباقيات كله إيش؟ كله
+
+115
+00:11:35,000 --> 00:11:42,120
+odd يبقى اثنتين even والأربعة الأخرى يتمالهم odd زي
+
+116
+00:11:42,120 --> 00:11:47,560
+تمامًا في الدوال المثلثية كان cos x و sec x
+
+117
+00:11:47,560 --> 00:11:51,600
+اثنين are even والأربعة odd بالشكل اللي قلنا هذا
+
+118
+00:11:51,600 --> 00:11:59,320
+نجي الآن لمشتقة الدوال الزائدية يرجى بالذات
+
+119
+00:11:59,320 --> 00:12:01,480
+لـ derivatives
+
+120
+00:12:03,110 --> 00:12:08,870
+of hyperbolic functions
+
+121
+00:12:11,780 --> 00:12:19,180
+مشتقة الدوال الزائدية باجي بقوله if u is a
+
+122
+00:12:19,180 --> 00:12:27,100
+differentiable function of x then نمرة واحد بدنا
+
+123
+00:12:27,100 --> 00:12:37,180
+d/dx لمين؟ لـ sinh u يساوي بدوش أكتب لك
+
+124
+00:12:37,180 --> 00:12:41,930
+الجواب بده أخليك أنت تطلع الجواب تشوف التعريف
+
+125
+00:12:41,930 --> 00:12:47,270
+الـ sinh عندك يلا اللي هي نصف في e<sup>u</sup> - e<sup>-u</sup> 
+
+126
+00:12:47,270 --> 00:12:48,930
+ناقص X اشتقها
+
+127
+00:12:53,510 --> 00:12:59,710
+نص زي ما هو والـ cos x زي ما هي وزاد أو عندك هنا
+
+128
+00:12:59,710 --> 00:13:04,990
+ناقص cos x ناقص x لما اشتق نفسه في سالب يصير موجب
+
+129
+00:13:04,990 --> 00:13:11,130
+يعني مين؟ cos إذا انتفض الـ sin بـ cos يبقى هذه cos
+
+130
+00:13:11,130 --> 00:13:17,830
+الـ dy/dx  نمر اثنان بدنا الـ d على
+
+131
+00:13:17,830 --> 00:13:24,410
+dx لـ cos x، سالب، سالب، سالب، سالب، سالب،
+
+132
+00:13:24,410 --> 00:13:27,750
+سالب، سالب، سالب، سالب، سالب
+
+133
+00:13:31,820 --> 00:13:36,840
+موجب، يعني مش زي الدوال المثلثية، تفاضل cos بـ -sin 
+
+134
+00:13:36,840 --> 00:13:42,200
+صين هنا الـ cos، فاقلها بيطلع sin، تمام؟ إذا تفاضل
+
+135
+00:13:42,200 --> 00:13:47,860
+الـ sin بـ cos و تفاضل الـ cos بـ -sin طيب، نمر تلاتة،
+
+136
+00:13:47,860 --> 00:13:57,160
+بيبنا الـ d/dx لـ tan x يساوي يالا باختصار هيك
+
+137
+00:13:57,160 --> 00:14:01,920
+tan x هي sin x على cos x يالا المقام في مشتقة البسط ناقص
+
+138
+00:14:01,920 --> 00:14:06,460
+البسط في مشتقة المقام على مربع المقام الأصلي علما
+
+139
+00:14:06,460 --> 00:14:12,220
+بإنما cos² x ناقص sin² x يساوي واحد صحيح
+
+140
+00:14:12,220 --> 00:14:19,400
+يالا شوف هالي كده بتطلع يالا بسرعة أيوة كده؟ كده
+
+141
+00:14:19,400 --> 00:14:25,820
+يا راجل قوله غير تاج الله بيطلع 1 على cos² x
+
+142
+00:14:25,820 --> 00:14:31,300
+صح ولا لأ؟ 1 على cos² x يومين sin² x
+
+143
+00:14:31,300 --> 00:14:40,580
+إذا انت فاضل tan بـ sec² x U في dU/dx الرابع
+
+144
+00:14:40,580 --> 00:14:49,980
+بدنا الـ d/dx لـ cot U cot U
+
+145
+00:14:49,980 --> 00:14:57,210
+و U الساوينفس الطريقة cos فوق و sin x تحت يبقى
+
+146
+00:14:57,210 --> 00:15:06,750
+سالب cosec² U في الـ dU/dx ننتقل الآن إلى
+
+147
+00:15:06,750 --> 00:15:15,950
+النقطة الخامسة بدنا الـ d/dx لمين؟ لـ sec الـ U ويساوي
+
+148
+00:15:15,950 --> 00:15:23,300
+تفاضل الـ sec بـ sec x في tan x بس هذه الـ sec بسالب
+
+149
+00:15:23,300 --> 00:15:33,180
+sec tan x يبقى هذه سالب sec x في tan sec الـ U sec
+
+150
+00:15:33,180 --> 00:15:40,120
+الـ U في tan الـ U في dU/dx أخر حاجة نمره 6 الـ d
+
+151
+00:15:40,120 --> 00:15:47,760
+على dx لـ cosec الـ U سالب cosec الـ U cot tan
+
+152
+00:16:01,270 --> 00:16:07,930
+أول تلاتة بالموجب وتاني تلاتة بالسالب موجب موجب
+
+153
+00:16:07,930 --> 00:16:09,690
+موجب سالب سالب سالب
+
+154
+00:16:23,680 --> 00:16:26,780
+بترجع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع
+
+155
+00:16:26,780 --> 00:16:26,840
+الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع
+
+156
+00:16:26,840 --> 00:16:28,840
+الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع
+
+157
+00:16:28,840 --> 00:16:32,000
+الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع
+
+158
+00:16:32,000 --> 00:16:34,140
+الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع
+
+159
+00:16:34,140 --> 00:16:34,160
+الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع
+
+160
+00:16:34,160 --> 00:16:34,500
+الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع
+
+161
+00:16:34,500 --> 00:16:35,680
+الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع
+
+162
+00:16:35,680 --> 00:16:37,180
+الاصطناع الاصطناع الاصطناع الاصطناع 
+
+163
+00:16:40,990 --> 00:16:46,610
+لأ لأ مش الـ sin بتقول e<sup>x</sup> ناقص e<sup>-x</sup> على
+
+164
+00:16:46,610 --> 00:16:51,370
+اتنين بده أشيل x وحط مكانه -x يعني هو بيصير e
+
+165
+00:16:51,370 --> 00:16:57,850
+<sup>-x</sup> ناقص e<sup>x</sup> على اتنين خد إشارة سالب برا
+
+166
+00:16:57,850 --> 00:17:01,050
+بيصير e<sup>x</sup> ناقص e<sup>-x</sup> على اتنين يعني
+
+167
+00:17:01,050 --> 00:17:07,590
+سالب sin x يعني أصبح f(-x) يساوي -f
+
+168
+00:17:07,590 --> 00:17:12,220
+<sup>x</sup> it is an odd function مظبوط ولا لا؟ اتلخبط من
+
+169
+00:17:12,220 --> 00:17:15,160
+الـ session. يا زماده خلاص هو اتلخبطون عدل يعني، هو
+
+170
+00:17:15,160 --> 00:17:20,560
+غلط فيه، هو غلط في المصحف. خلاص ليه؟ خلاص، خلاص.
+
+171
+00:17:21,040 --> 00:17:25,720
+الواحد يسأل امليه قال ولم تؤمن قال بلى، ولكن
+
+172
+00:17:25,720 --> 00:17:31,880
+ليطمئن قلبي، حابب اتأكد، وهذا حصل مع نبينا إبراهيم
+
+173
+00:17:31,880 --> 00:17:35,540
+عليه السلام مع الله سبحانه وتعالى. والراجل يا
+
+174
+00:17:35,540 --> 00:17:39,760
+عزيزي لما نيسأل سؤاله ونجاوب عليه. حابب يتأكد قال
+
+175
+00:17:39,760 --> 00:17:44,180
+لك ربما لكون أخطأنا فاجتهد فوجد نجتهده في غير محق
+
+176
+00:17:44,180 --> 00:17:49,900
+ليه ومن اجتهد فأصف له أجران ومن انتهد فأقطف له أجر
+
+177
+00:17:49,900 --> 00:17:54,160
+واحد يعني ماعناش مشكلة في هذه خليكم معنا خليكم
+
+178
+00:17:54,160 --> 00:17:58,980
+معنا خلاص بجد طيب، زي ما فيه مشتقات، معناته فيه
+
+179
+00:17:58,980 --> 00:18:04,720
+تكاملات، إذا بدنا نروح للتكاملات تانية، يبقى هنا
+
+180
+00:18:04,720 --> 00:18:10,780
+بدنا نيجي لأول تكامل من هذه التكاملة، خلّا معايا
+
+181
+00:18:10,780 --> 00:18:14,560
+كل سنة، طبعا زي ما تجيب في مستقبل، مشتقة الـ sin
+
+182
+00:18:14,560 --> 00:18:20,030
+بـ cos، إذا مشتقة الـ cos مشتقت الـ cos بالـ sin إذا
+
+183
+00:18:20,030 --> 00:18:26,050
+متكامل الـ sin بـ cos يبقى على كل الخط الان نمرة واحد
+
+184
+00:18:26,050 --> 00:18:32,830
+تكامل لـ sin x dx بدي يعطيلك cos x زائد
+
+185
+00:18:32,830 --> 00:18:39,810
+constant C نمرة اتنين بدنا تكامل لـ cos x dx
+
+186
+00:18:39,810 --> 00:18:48,410
+ساوي الـ همين dx بدي يساوي اللي هو sin x زائد كل
+
+187
+00:18:48,410 --> 00:18:53,750
+صندسي، نمرة تلت طيب
+
+188
+00:18:53,750 --> 00:18:56,370
+شيفاه، لو بدنا تكامل الـ tan x
+
+189
+00:19:01,670 --> 00:19:05,690
+sin x على cos x البسط مش ساقة المقارنة يبقى لنا
+
+190
+00:19:05,690 --> 00:19:09,050
+المقارنة مش هذا اللي بديه خليه مع الأسلحة اللي
+
+191
+00:19:09,050 --> 00:19:17,940
+بدك هيها بقول اه بدي تكامل لـ sec² x dx تفاهم
+
+192
+00:19:17,940 --> 00:19:27,540
+الـ tan بـ sec² x بمين؟ بـ tan يبقى هنا tan x زائد
+
+193
+00:19:27,540 --> 00:19:33,520
+constant C نمرة أربعة بدي تكامل cosec² x
+
+194
+00:19:36,900 --> 00:19:42,680
+سالب cot x يبقى سالب cot x
+
+195
+00:20:25,730 --> 00:20:34,320
+طيب يبقى ضال مين؟ الاربع دوال زائدية الأخرى خليهم
+
+196
+00:20:34,320 --> 00:20:40,440
+مع الأمثلة ليه؟ فعليهم مع الأمثلة طيب هنشوف كيف
+
+197
+00:20:40,440 --> 00:20:44,800
+هنخليهم مع الأمثلة يبقى الأن نذهب إلى الأمثلة
+
+198
+00:20:44,800 --> 00:20:50,360
+لغاية هنا شباب احنا خلصنا الشطر الأول من الجزء
+
+199
+00:20:50,360 --> 00:20:55,870
+النظري في هذا الـ section و لسه في جزء تاني اللي هو
+
+200
+00:20:55,870 --> 00:21:01,030
+معكوس الدوال الزائدية لكن بنقول لك خدك راست شوية
+
+201
+00:21:01,030 --> 00:21:05,870
+هنا و خلينا نحل مجموعة من الأمثلة مجموعة من
+
+202
+00:21:05,870 --> 00:21:12,190
+الأمثلة على ما سبقت دراسته المثال الأول examples
+
+203
+00:21:12,190 --> 00:21:16,330
+أول
+
+204
+00:21:16,330 --> 00:21:27,560
+مثال بيقول if cos x بده يساوي 13 على 5 و
+
+205
+00:21:27,560 --> 00:21:34,480
+الـ x greater than zero فاين اجد انه نمرة واحد او
+
+206
+00:21:34,480 --> 00:21:44,860
+نمرة A بدنا يا سيدي اللي هو مين tan x and اللي
+
+207
+00:21:44,860 --> 00:21:55,130
+هو مين and sec x الاتنين هدول نمرى بيه بدنا the
+
+208
+00:21:55,130 --> 00:21:59,210
+value of x
+
+209
+00:22:16,940 --> 00:22:21,640
+بنعطيني جداش القيمة العددية لـ cos x اللي 13 على
+
+210
+00:22:21,640 --> 00:22:27,440
+5 ومن خلالها طلب مني تلت شغلات شغلة الأولى بده
+
+211
+00:22:27,440 --> 00:22:33,480
+جداش مقدار tan x الثانية جداش قيمة sec x ثمانية
+
+212
+00:22:33,480 --> 00:22:38,920
+جداش القيمة الحقيقية لـ x اللي خلتلي المقدار هذا
+
+213
+00:22:38,920 --> 00:22:42,920
+يسوى جداش 13 على 5 solution
+
+214
+00:22:45,390 --> 00:22:50,190
+يبقى بدنا نيجي للنقطة الأولى اللى هى نمرة A أظن في
+
+215
+00:22:50,190 --> 00:22:57,150
+جزء منهم بقدر اجيبه مباشرة اللى هم sec بقول بسيطة
+
+216
+00:22:57,150 --> 00:23:07,700
+sec x بدي يساوي 1 على cos x فـ الـ cos معروفة
+
+217
+00:23:07,700 --> 00:23:12,500
+اللي 13 على 5، ايه من الـ social؟ يسوي 5 على
+
+218
+00:23:12,500 --> 00:23:20,020
+13، يبقى هذه بلغة سهلة جدا، الآن هيا عندنا صار
+
+219
+00:23:20,020 --> 00:23:27,020
+اللي هو الـ sec و بدنا الآن الـ tan بدنا الـ tan،
+
+220
+00:23:27,020 --> 00:23:34,160
+طبعا قدامك أكثر من طريقة طريقة الأول أنه أنا أخد cos
+
+221
+00:23:34,160 --> 00:23:39,620
+² x ناقص sin² x يسوي قداش 1، من هذه
+
+222
+00:23:39,620 --> 00:23:44,900
+بحسب الـ sin، بصير الـ sin عندي و الـ cos عندي، بقدر
+
+223
+00:23:44,900 --> 00:23:49,760
+أجيبله الـ tan، هذا تفكير، تفكير آخر، بقول لأ أنت
+
+224
+00:23:49,760 --> 00:23:54,500
+حسبت الـ sec قداش يسوي، بقول له أيوة، قال احنا عنده
+
+225
+00:23:54,500 --> 00:24:00,740
+متفادقة، بتقول إن 1 ناقص tan² يساوي من؟ sec²
+
+226
+00:24:00,740 --> 00:24:04,260
+نقولا الله كلامك مظبوط نقدر نجيب الـ tan
+
+227
+00:24:04,260 --> 00:24:11,580
+مباشرة يبقى باجي بقوله tan ايش عندنا احنا؟ اللي هو
+
+228
+00:24:11,580 --> 00:24:22,440
+من 1 ناقص tan² x بده يساوي sec²
+
+229
+00:24:22,440 --> 00:24:30,690
+x هذه النقطة الثانية في أول متطابقة اخذناها،
+
+230
+00:24:30,690 --> 00:24:35,290
+إذا بدنا نعود فيها مباشرة يبقى هاي الـ 1 ناقص
+
+231
+00:24:41,150 --> 00:24:46,890
+بدو يساوي الله أعلم tan بدنا ياما sec² هي
+
+232
+00:24:46,890 --> 00:24:54,170
+الـ sec إذا الـ 5 على 13 الكل تربيع هذا بده
+
+233
+00:24:54,170 --> 00:25:01,710
+يعطيك ما يأتي انه tan² x بده يساويهنا اللي
+
+234
+00:25:01,710 --> 00:25:09,870
+هو مين 1 ناقص 1 ناقص 25 على 13 في
+
+235
+00:25:09,870 --> 00:25:16,710
+13 بمية وتسعة وستين يبقى بناء عليه أصبح tan
+
+236
+00:25:16,710 --> 00:25:21,550
+² x يساوي المضاعف المشترك لليه اتنين مية
+
+237
+00:25:21,550 --> 00:25:26,870
+وتسعة وستين بصير مية وتسعة وستين ناقص 25
+
+238
+00:25:26,870 --> 00:25:33,800
+اللي هو مية واربعة واربعين كويس هذا بده يعطيلك ان
+
+239
+00:25:33,800 --> 00:25:42,280
+tan x بده يساوي 12 على 13 بإشارة موجبة
+
+240
+00:25:42,280 --> 00:25:47,480
+لإن في البداية اتاني x مالها greater than zero
+
+241
+00:25:47,480 --> 00:25:52,160
+كويس يبقى أصبح tan x اللي بده إياها اللي عبارة عن
+
+242
+00:25:52,160 --> 00:25:55,420
+12 على 13 وبالتالي بكون انت هنا من المطلوب
+
+243
+00:25:55,420 --> 00:25:58,820
+الأول ايه هو الفرق يعني ممكن احنا طريقة المجاور
+
+244
+00:25:58,820 --> 00:26:07,760
+المقابل هذه دالة مثلثة مثلثة مثلثة مثلثة مثلثة
+
+245
+00:26:07,760 --> 00:26:10,980
+مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة
+
+246
+00:26:10,980 --> 00:26:12,340
+مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة
+
+247
+00:26:12,340 --> 00:26:15,100
+مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة
+
+248
+00:26:15,100 --> 00:26:18,380
+مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة
+
+249
+00:26:18,380 --> 00:26:22,400
+مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة
+
+250
+00:26:22,400 --> 00:26:26,960
+مثلثة مثل
+
+251
+00:26:28,760 --> 00:26:31,820
+أه يمكن يجربوا لبعض، بس يمكن يجربوا ليس لبعض،
+
+252
+00:26:31,820 --> 00:26:37,660
+تمام؟ احنا بنقول شكلًا تفرق عن بعض بالحرف إتش، لكن
+
+253
+00:26:37,660 --> 00:26:42,360
+هذا الفرق جعل فرقًا مفتوحة ما بين الاثنين، طيب إذا 
+
+254
+00:26:42,360 --> 00:26:46,580
+بتلاقي المثلث كل عنه، خلّيني أستفيد برضه، مش غلط،
+
+255
+00:26:46,580 --> 00:26:51,660
+ماشي؟ طيب، خلصوا المطلوب الأول إن هو نمرة A، بدنا
+
+256
+00:26:51,660 --> 00:26:58,660
+نيجي لنمرة B، نمر بيه ويقول هاتلي قيمة X التي جعلت
+
+257
+00:26:58,660 --> 00:27:05,140
+هذا المقدار يساوي تلاتة عشر على خمسة، بقوله يبقى أنت
+
+258
+00:27:05,140 --> 00:27:13,460
+عندك الـ X بده يساويولو كنا ماخدين المعكوز كما
+
+259
+00:27:13,460 --> 00:27:17,260
+قلنا X يساوي جوش Inverse بس أنا ما أخذناش اللي ممكن
+
+260
+00:27:17,260 --> 00:27:21,960
+نعرفوش تمام، لكن أخذنا الـ exponential اللي الجوش
+
+261
+00:27:21,960 --> 00:27:26,760
+بدل الـ exponential E والـ 6 زائد E و أُس الـ 6
+
+262
+00:27:26,760 --> 00:27:33,260
+على 2، هذا اللي بده يساوي جداش اللي هو 13 على 5
+
+263
+00:27:34,920 --> 00:27:41,280
+المعادلة اللي عندنا هذه حولناها مسألة بدلالة الـ EOS
+
+264
+00:27:41,280 --> 00:27:45,560
+X الـ EOS X هذه بقدر عليها، بقدر أشتغل بيمين و شمال
+
+265
+00:27:45,560 --> 00:27:49,820
+زي ما بدي، هذه المعادلة لو روحنا ضرب ضرب التبادل يبصي
+
+266
+00:27:49,820 --> 00:27:57,160
+لنا إيه؟ خمسة EOS X زائد خمسة EOS ناقص X  يصبح جداش
+
+267
+00:27:57,160 --> 00:28:03,650
+ستة وعشرين، هذه الأس سالب والأس موجب لا تعجبني فهو
+
+268
+00:28:03,650 --> 00:28:06,870
+يريد أن يتخلص من السالب ويتعامل معه، يعني يريد أس
+
+269
+00:28:06,870 --> 00:28:12,490
+واحد يتعامل معه، إذا لو رحت ضربت طرفي المعادلة في
+
+270
+00:28:12,490 --> 00:28:20,310
+E أس X، بس هنا لدينا خمسة E أس X لكل تربيع زائد
+
+271
+00:28:20,310 --> 00:28:27,180
+خمسة بده يساوي له ستة وعشرين E أس X، يبقى قربنا
+
+272
+00:28:27,180 --> 00:28:32,120
+الطرفين في E أس X وبالتالي تخلصنا من مين؟ من الأس
+
+273
+00:28:32,120 --> 00:28:37,980
+السالب، طب بتعملها معادلة صفرية يبقى خمسة في E أس
+
+274
+00:28:37,980 --> 00:28:46,660
+اثنين X ناقص ستة وعشرين E أس X يبقى زائد خمسة زائد
+
+275
+00:28:46,660 --> 00:28:52,100
+خمسة كلها تساوي مين؟ تساوي Zero زي ما أنت شايف هذه
+
+276
+00:28:52,100 --> 00:28:59,950
+أصبحت معادلة من الدرجة الثانية في المتغير E أُس X، E
+
+277
+00:28:59,950 --> 00:29:04,070
+أُس X الكل تربيع، كل صين في الـ E أُس X وهنا كل صين
+
+278
+00:29:04,070 --> 00:29:07,790
+كله بده يساوي Zero، يبقى بدنا نروح نحل معادلة
+
+279
+00:29:07,790 --> 00:29:12,700
+الدرجة الثانية، بتحللها تحليل، ماشي، بتقدرش بتروح
+
+280
+00:29:12,700 --> 00:29:17,200
+على القانون، بصوب؟ طب نشوف بنقدر نحللها والله
+
+281
+00:29:17,200 --> 00:29:21,620
+إذا ما نقدرش علمونا في الإعدادية إنه ممكن تسوي مقص
+
+282
+00:29:21,620 --> 00:29:27,320
+أو ممكن تحلل على طول، تمام؟ لو جينا لهذه قلنا خمسة
+
+283
+00:29:27,320 --> 00:29:34,950
+في E والـ 6 وهنا E والـ 6 لوحدها فقط، هذه اللي بعد خمسة
+
+284
+00:29:34,950 --> 00:29:39,010
+في واحد يبقى هذا الخمسة وهذا الواحد، الإشارة زائد
+
+285
+00:29:39,010 --> 00:29:43,930
+اللي في النص بالنقص يبقى الاثنين بالنقص، تعالى نشوف
+
+286
+00:29:43,930 --> 00:29:49,230
+هل كلام هذا صحيح ولا لأ، طبعًا ناقص في ناقص بزائد خمسة
+
+287
+00:29:49,230 --> 00:29:55,790
+مظبوط، هي زائد خمسة وهذه EO6 في خمسة EO6 بخمسة EO2
+
+288
+00:29:55,790 --> 00:30:00,150
+ناقص، إذا المطلوب اللي في النص يكون جداش ناقص ستة
+
+289
+00:30:00,150 --> 00:30:07,790
+وعشرين EO6، أضرب لهك سالب خمسة وعشرين EO6 وسالب EO6
+
+290
+00:30:07,790 --> 00:30:12,070
+يبقى سالب ستة وعشرين، يمكن تحليلنا مصبوخ مائة
+
+291
+00:30:12,070 --> 00:30:17,690
+بالمائة، يبقى المعادلة هذه صارت خمسة EO6 ناقص واحد
+
+292
+00:30:17,690 --> 00:30:23,910
+في EO6 ناقص خمسة كله بده يساوي Zero، يبقى إما خمسة
+
+293
+00:30:23,910 --> 00:30:28,930
+في EO6 ناقص واحد بده يساوي Zero والـ ثانية الـ EO6
+
+294
+00:30:28,930 --> 00:30:34,280
+ناقص خمسة بده يساوي Zero، هذه معناها أن الـ E أُس X
+
+295
+00:30:34,280 --> 00:30:38,800
+بده يساوي خمسة وهذه معناها أن الـ E أُس X بده يساوي
+
+296
+00:30:38,800 --> 00:30:49,760
+كده؟ خمسة، خذ للطرفين يبقى الـ X يساوي للخمسة للخمسة
+
+297
+00:30:49,760 --> 00:30:56,720
+اللي هو كده؟ سالب للخمسة، يبقى هذا سالب للخمسة إيه
+
+298
+00:30:56,720 --> 00:31:02,770
+إيش رأيك في الشغل هذا؟ مقبول هذا؟ مش مقبول، ليش؟ إنه
+
+299
+00:31:02,770 --> 00:31:07,410
+قال شرط علي X أكبر من الـ Zero، هذا بيعطينا رقم أقل
+
+300
+00:31:07,410 --> 00:31:13,230
+من الـ Zero يبقى هذا الكلام مرفوض، يبقى impossible
+
+301
+00:31:13,230 --> 00:31:21,010
+هذا كلام غير ممكن، هشيل ممكن، آخذ الـ len للثانية يبقى
+
+302
+00:31:21,010 --> 00:31:27,210
+X بدها تساوي قداش؟ لن الخمسة، هذه هي الإجابة الصحيحة
+
+303
+00:31:27,210 --> 00:31:29,790
+لهذه المسألة
+
+304
+00:31:36,970 --> 00:31:47,290
+المثال الثاني بيقول simplify the
+
+305
+00:31:47,290 --> 00:31:51,990
+following expressions
+
+306
+00:31:55,290 --> 00:32:01,370
+بسيط لي كله من الصيغة التالية، الصيغة الأولى اللي
+
+307
+00:32:01,370 --> 00:32:10,550
+هو sin لمن؟ لـ اثنين لن الأكس أظن
+
+308
+00:32:10,550 --> 00:32:14,510
+أخذنا هذه الأشكال في معكوس الدوال المثلثية فره
+
+309
+00:32:14,510 --> 00:32:19,770
+مظبوط، وكنا بنجل المثلث وبنرسمه وبنطلق القيام،
+
+310
+00:32:19,770 --> 00:32:24,310
+طبعًا، بس أنا ما عنديش مثلث، لكن عندي تعريف لمين؟
+
+311
+00:32:24,310 --> 00:32:29,390
+للسنج، يبقى أنا الآن مشان أعرف هذه القيمة، بدي
+
+312
+00:32:29,390 --> 00:32:34,810
+أرجع لتعريف السنج، سنش الـ X هو E أس X ناقص E أس ناقص
+
+313
+00:32:34,810 --> 00:32:41,330
+X على اثنين، مكان الـ X كده شجاني، يبقى E أس اثنين لن
+
+314
+00:32:41,330 --> 00:32:47,470
+الـ X ناقص E أس ناقص اثنين لن الـ X على اثنين، يبقى
+
+315
+00:32:47,470 --> 00:32:53,710
+هذا يساوي E أس اثنين لن الـ X ناقص E أس ناقص اثنين
+
+316
+00:32:53,710 --> 00:32:59,060
+لن الـ X كل هذا على إيه؟ على اثنين، بنرجع لـ
+
+317
+00:32:59,060 --> 00:33:04,840
+Exponential Function سبعة تلاتة نقول له اه يعني
+
+318
+00:33:04,840 --> 00:33:10,060
+هذا لو بسط بديش أشوف المسألة لا exponential ولا
+
+319
+00:33:10,060 --> 00:33:15,060
+حتى len مشان هيك بنقول بسيطة هذا رقم قبل الـ len
+
+320
+00:33:15,060 --> 00:33:23,330
+إذا بيجي أسلمينلل X يبقى هذا E أس ل X تربيع وهذا
+
+321
+00:33:23,330 --> 00:33:32,500
+ناقص E أس ل X أس سالب اثنين، هذا بيلغي الثاني لإن هو
+
+322
+00:33:32,500 --> 00:33:38,120
+ده لو معكوسها بيبقى لاندي قداش؟ X تربيع ناقص X أس
+
+323
+00:33:38,120 --> 00:33:44,580
+ناقص اثنين على اثنين، أو إن شئتم فقولوا X square
+
+324
+00:33:44,580 --> 00:33:50,380
+ناقص واحد على X square كله على اثنين، أو بصيغة أخرى
+
+325
+00:33:50,380 --> 00:33:56,620
+لو وحدنا المقامات بيصير X أس أربعة ناقص واحد كله
+
+326
+00:33:56,620 --> 00:34:02,180
+على اثنين X تربيع، يبقى هذه المثلة لا فيها Sing ولا
+
+327
+00:34:02,180 --> 00:34:06,380
+فيها Lin يبقى لما يقول لبسطها يعني اتخلص من كل
+
+328
+00:34:06,380 --> 00:34:11,420
+الكلكة اللي عندك واتحالي بدلالة من؟ بدلالة X، طيب
+
+329
+00:34:11,420 --> 00:34:19,980
+نيجي لنمر بيه، أول نقطة ثانية اعتبر هذه A وهذه B، نمر
+
+330
+00:34:19,980 --> 00:34:30,400
+بيه بيقول بدي قداش؟ لن لجوش الـ X زائد سنش الـ X زائد
+
+331
+00:34:30,400 --> 00:34:37,420
+لن جوش الـ X ناقص سنش الـ X، ما شاء الله عليها يعني
+
+332
+00:34:37,420 --> 00:34:44,820
+مش صغيرة، كبيرة خالص، طبعًا؟ طيب، هذه بسيطة، بقوله
+
+333
+00:34:44,820 --> 00:34:49,620
+يستوي، إيش بتختارها علينا مشان نبسط قيمة المعرفة؟
+
+334
+00:34:49,620 --> 00:34:54,680
+نسمع المقترح الأول، نعمل هضر نعمل هضر، هذه وجهة نظر
+
+335
+00:34:54,680 --> 00:34:59,080
+سليمة، لما نشوف هل هناك وجهات نظر أخرى ولا لا،
+
+336
+00:34:59,080 --> 00:35:03,240
+خلينا نطبق اللي قال عنه، زميلكو بيقول، شو اسمك أنت؟
+
+337
+00:35:06,420 --> 00:35:12,040
+أخوك محمد حمدا بيقول إيه؟ بيقول لن زائد ان لو
+
+338
+00:35:12,040 --> 00:35:16,540
+راجعنا لـ section 7 اثنين بيقول هذا لن حاصل الضرب
+
+339
+00:35:16,540 --> 00:35:20,240
+لإن اللي لما بيدخل على الضرب بيحوله إلى جامعة
+
+340
+00:35:20,240 --> 00:35:26,420
+بيقوله والله مظبوط، يبقى لن جوش الـ X زائد essential
+
+341
+00:35:26,420 --> 00:35:33,440
+X في جوش الـ X ناقص essential X، بيقوله والله كلامك
+
+342
+00:35:33,440 --> 00:35:41,870
+مظبوط، لكل سؤال هو شرايك في الجثين هدول، مش هو تحليل
+
+343
+00:35:41,870 --> 00:35:46,970
+فرق بين المربعين، إذا بدي أرجعه إلى أصله قبل
+
+344
+00:35:46,970 --> 00:35:54,830
+التحليل يبقى هذا بده يساوي لان جوش square X ناقص
+
+345
+00:35:54,830 --> 00:36:00,650
+سنش square X ويساوي لان
+
+346
+00:36:01,300 --> 00:36:06,780
+قداش؟ هذا من المتطابقات قبل شوية؟ واحد صحيح، طب و
+
+347
+00:36:06,780 --> 00:36:11,060
+لإن الواحد صحيح فقداش؟ يعني هالكلكة على كبيرة ما
+
+348
+00:36:11,060 --> 00:36:15,460
+شاء الله عليه طلعت بالصفر، طب هذا اقتراح محمد حمدا،
+
+349
+00:36:15,460 --> 00:36:20,490
+نسمع اقتراح، شو اسمك أنت؟ محمد أبو الخير، محمد أبو
+
+350
+00:36:20,490 --> 00:36:23,730
+محمد أبو الخير، هات لنا من هذا الخير اللي عندك يلا
+
+351
+00:36:23,730 --> 00:36:26,870
+كلام
+
+352
+00:36:26,870 --> 00:36:31,170
+كويس، يبقى هذا رجع لمين؟ محمد أبو الخير رجع
+
+353
+00:36:31,170 --> 00:36:38,250
+للمتطابقات اللي اتكلمنا عليها وراح لآخر متطابقتين
+
+354
+00:36:38,250 --> 00:36:43,490
+كتبناهم فمين؟ في مجموعة المتطابقات، جالي هنا
+
+355
+00:36:43,490 --> 00:36:47,110
+another solution
+
+356
+00:36:48,400 --> 00:36:53,700
+شوف يا سيدي، أجي قال لي هذا الـ Lin الأولى هذي شلة
+
+357
+00:36:53,700 --> 00:36:59,260
+وحط بدلها مين؟ EO6، قلنا له والله كلامك مظبوط، و
+
+358
+00:36:59,260 --> 00:37:05,180
+أجي للتانية وقال لي لن هذي EO سالب X، وبعد ذلك
+
+359
+00:37:05,180 --> 00:37:10,820
+راح أستخدم صلاحيات الـ Lin، يبقى هذي بيصير X في لن
+
+360
+00:37:10,820 --> 00:37:17,000
+الـ E، طب لن الـ E بقداش؟ بواحد، يبقى بدل الـ X وهذه
+
+361
+00:37:17,000 --> 00:37:21,600
+ناقص X في لن الـ E اللي هي بواحد، إلا لو هي طلعت
+
+362
+00:37:21,600 --> 00:37:27,120
+جداش Zero زي اللي جاب لها، يبقى الحل الأول أو الحل
+
+363
+00:37:27,120 --> 00:37:34,860
+الثاني كلاهما صحيح ولا اعتراض على أي منهما، ولكن
+
+364
+00:37:34,860 --> 00:37:38,420
+الخيار عادل تشوفه أسهلك امشي فيه
+
+365
+00:37:48,770 --> 00:37:54,370
+طيب هذا كان المثال الثاني، نذهب إلى المثال الثالث
+
+366
+00:37:54,370 --> 00:38:08,210
+تلاتة، find y' for each of the following، بدنا مشتقة
+
+367
+00:38:08,210 --> 00:38:20,150
+كل من الدوال التالية، Y تساوي اثنين جذر الـ X في تانش
+
+368
+00:38:20,150 --> 00:38:23,430
+لجذر الـ X
+
+369
+00:38:32,010 --> 00:38:36,790
+لو نظرت لي هذه الدالة بلاحظ أن هذه تعتبر دالة وهذه
+
+370
+00:38:36,790 --> 00:38:42,110
+دالة، إذًا أن عندي مشتقة حاصل ضرب دالتين، يبقى
+
+371
+00:38:42,110 --> 00:38:48,900
+باجي بقوله الـ Y' يساوي الدالة الأولى في مشتقة الدالة
+
+372
+00:38:48,900 --> 00:38:57,080
+الثانية، تفاضل التانش جدر six squared جذر الـ X ضرب
+
+373
+00:38:57,080 --> 00:39:02,140
+مشتقة من جذر الزاوية، مشتقة الجذر واحد على
+
+374
+00:39:02,140 --> 00:39:08,460
+اثنين جذر، يبقى هذا الأولى في مشتقة الثانية زائد
+
+375
+00:39:08,460 --> 00:39:16,690
+الدالة الثانية اللي هي تانش جذر الـ X في مشتقة 
+
+376
+00:39:16,690 --> 00:39:21,250
+الأولى اثنين مالكش دعوة ومشتقة جذر الـ X اللي هو
+
+377
+00:39:21,250 --> 00:39:29,630
+جذاش واحد على اثنين جذر الـ X يساوي عظم إن اثنين جذر
+
+378
+00:39:29,630 --> 00:39:34,950
+الـ X مع اثنين جذر الـ X مع السلامة واثنين هذه مع
+
+379
+00:39:34,950 --> 00:39:39,470
+السلامة مع اثنين هذه يبقى آلة المسألة إلى الشكل
+
+380
+00:39:39,470 --> 00:39:48,150
+التالي سينش سكوير لجذر الـ X زائد تانش لجذر الـ X كله
+
+381
+00:39:48,150 --> 00:39:55,230
+مقسوما على مين؟ على جذر الـ X النقطة الثانية من الـ
+
+382
+00:39:55,230 --> 00:40:05,690
+derivatives نمر اثنين بيقول لي Y تساوي لن سينش الـ X
+
+383
+00:40:05,690 --> 00:40:17,110
+لن سينش الـ X زائد كوش لمين؟ لن تلاتة X الشكل عنها
+
+384
+00:40:17,110 --> 00:40:25,310
+بيبقى الـ Y Prime تساوي طبعا واضح هذه function وهذه
+
+385
+00:40:25,310 --> 00:40:30,830
+function واثنين مجموعات مع بعض جامعة إذا احنا
+
+386
+00:40:30,830 --> 00:40:37,390
+بدنا مشتقة المجموع الجبري لدالتين يبقى مشتقة
+
+387
+00:40:37,390 --> 00:40:42,770
+الأولى زائد مشتقة الدالة الثانية
+
+388
+00:40:45,480 --> 00:40:53,260
+مشتقة لن الـ U بواحد على U يبقى واحد على سينش الـ X
+
+389
+00:40:53,260 --> 00:41:00,120
+في مين؟ في تفاضل السنش اللي هو بجوش يبقى جوش الـ X
+
+390
+00:41:00,120 --> 00:41:09,380
+زائد الكوش تفاضلها بالسالب سش تانش يبقى سالب سالب
+
+391
+00:41:09,380 --> 00:41:16,060
+كوش كتانش قصدي سالب كوش اللي هو لن تلاتة X
+
+392
+00:41:16,060 --> 00:41:26,080
+كتانش لمين؟ لن تلاتة X لمشتقة من الزاوية يبقى هنا
+
+393
+00:41:26,080 --> 00:41:33,690
+واحد على تلاتة X في جذاش فيه تلاتة طبعا في اختصارات
+
+394
+00:41:33,690 --> 00:41:39,470
+بنقدر نقول التلاتة هذه مع التلاتة هذه وبالتالي آلة
+
+395
+00:41:39,470 --> 00:41:44,970
+المشتقة إلى الشكل التالي جوش على سينش اللي هو
+
+396
+00:41:44,970 --> 00:41:53,690
+كوتانشنت الـ X وهذه ناقص وهذا كوتانشنت لمين؟ لن تلاتة X
+
+397
+00:41:53,690 --> 00:42:01,730
+كوتانشنت لن تلاتة X كله مقسوما على مين؟ على X
+
+398
+00:42:01,730 --> 00:42:06,470
+الشكل اللي عندها النقطة
+
+399
+00:42:06,470 --> 00:42:12,610
+الثالثة النقطة الثالثة بيقول لي Y تساوي
+
+400
+00:42:15,690 --> 00:42:26,090
+جوش أس خمسة جوش الجذر التربيعي لـ إي أس تلاتة X
+
+401
+00:42:26,090 --> 00:42:27,430
+زائد اثنين
+
+402
+00:42:32,580 --> 00:42:38,740
+هذا كأنه قوس والقوس كل قوس كم؟ قوس خمسة يبقى من
+
+403
+00:42:38,740 --> 00:42:42,560
+الـ share rule قولنا القوس في القوس مرفوع لنفس
+
+404
+00:42:42,560 --> 00:42:48,020
+القوس مطروح منه واحد في مشتقد ما داخل القوس يبقى
+
+405
+00:42:48,020 --> 00:42:54,440
+الـ wire prime تساوي القوس في القوش مرفوع لنفس
+
+406
+00:42:54,440 --> 00:42:57,440
+القوس مطروح منه واحد
+
+407
+00:42:59,600 --> 00:43:06,620
+تمام؟ في مشتقة مداخل القوس مشتقة القوش الـ cinch
+
+408
+00:43:06,620 --> 00:43:13,940
+يبقى هذا cinch من الجدر التربيع إلى E أس ثلاثة X
+
+409
+00:43:13,940 --> 00:43:22,000
+زائد اثنين في مشتقة الجدر نفسه لسه قبل ما بدأ
+
+410
+00:43:22,000 --> 00:43:28,380
+مشتقة الجدر بقى واحد على اثنين الجذر يبقى واحد على
+
+411
+00:43:28,380 --> 00:43:34,580
+اثنين الجذر التربيه الي E أس تلاتة X زائد اثنين
+
+412
+00:43:34,580 --> 00:43:41,720
+الآن في مشتقة مداخل الجذر مشتقة الـ X بننشل بالـ X
+
+413
+00:43:41,720 --> 00:43:48,180
+بننشل itself ضرب مشتقة الأس مشتقة اثنين F0
+
+414
+00:43:48,180 --> 00:43:53,700
+اختصارات الحمد لله لا يوجد فيها أي اختصار يبقى
+
+415
+00:43:53,700 --> 00:43:55,000
+بنخليها زي ما هي
+
+416
+00:44:02,040 --> 00:44:17,740
+Y تساوي سينش لمين؟ لتان الـ X سينش لتان الـ X زائد كتان
+
+417
+00:44:17,740 --> 00:44:22,780
+inverse لمين؟ لسينش الـ X
+
+418
+00:44:26,010 --> 00:44:33,910
+خلّي بالك معانا شايف كيف مكتوبة حرفيا رابط الدوال
+
+419
+00:44:33,910 --> 00:44:41,630
+المثلثية مع الدوال الزائدية قصدينها متعمدين طبعا
+
+420
+00:44:41,630 --> 00:44:46,350
+نهيك على أن هذه معرفة لأن السنش على كل الـ real
+
+421
+00:44:46,350 --> 00:44:50,950
+line والـ cotton inverse على كل الـ real line
+
+422
+00:44:52,770 --> 00:44:58,470
+متعملين وبالتالي ماعنا مشكلة في هذه الحالة يبقى Y'
+
+423
+00:44:59,010 --> 00:45:03,990
+يساوي هذه كلها تعتبر كيانها زي الزاوية بالنسبة
+
+424
+00:45:03,990 --> 00:45:12,110
+لمن؟ للسينش إذا انتفضل السنش بقداش؟ بجوش لتان الـ X
+
+425
+00:45:12,110 --> 00:45:21,110
+في تفاضل تان سك تربيع يبقى سك تربيع الـ X دي بالك و
+
+426
+00:45:21,110 --> 00:45:24,150
+احنا بمصحى في الامتحان الملاجئ كتير الـ H هذي
+
+427
+00:45:24,150 --> 00:45:29,210
+بتنتقل وأن كله على كيفك زي اللي بنتقل من زهرة
+
+428
+00:45:29,210 --> 00:45:33,390
+إلى زهرة النحل يعني أنت مافيش أنت جوش ممكن تبقى
+
+429
+00:45:33,390 --> 00:45:38,130
+جوش يعني cosine cosine يبقى هذي لكن اتفرج بين
+
+430
+00:45:38,130 --> 00:45:43,460
+الدوال الزائدية والدوال المثلثية يبقى يخلصها من
+
+431
+00:45:43,460 --> 00:45:48,800
+مشتقت الأولى الـ quotient inverse مشتقتها بالناقص
+
+432
+00:45:48,800 --> 00:45:53,320
+مظبوط quotient inverse بالزائد و quotient inverse
+
+433
+00:45:53,320 --> 00:46:01,740
+بالسالب سالب واحد على واحد زائد سينش سكوير X في
+
+434
+00:46:01,740 --> 00:46:08,310
+تفاضل السنش اللي هو جذاش بجوش الـ X يبقى الـ 10
+
+435
+00:46:08,310 --> 00:46:14,730
+inverse X سالب واحد على واحد زائد X تربيع في مشتقة
+
+436
+00:46:14,730 --> 00:46:22,390
+اللي هو الـ .. اللي هي الجوش طيب الآن هذه عبارة عن
+
+437
+00:46:22,390 --> 00:46:29,430
+جوش لمين؟ لتاني الـ X كله مضروب في سيك تربيع الـ X
+
+438
+00:46:29,430 --> 00:46:36,100
+ناقص هذا الـ term يا شباب موجودش واحد زي .. مين اللي
+
+439
+00:46:36,100 --> 00:46:43,060
+قال واحد؟ استعجل الزلمة يعني، أيوة يبقى إياك
+
+440
+00:46:43,060 --> 00:46:48,600
+والاستعجال في التأمن السلامة وفي العجلة الندامة،
+
+441
+00:46:48,600 --> 00:46:52,600
+مين اللي قال واحد توقفلي شوية أنت؟ أنت؟ طب بتقدر
+
+442
+00:46:52,600 --> 00:46:56,440
+تجيبلي آية فيها شغلة على الاستعجال هيك من كتاب
+
+443
+00:46:56,440 --> 00:47:03,730
+الله؟ بتقدر؟ بالمرة؟ طب لو غششتك الصورة، بتقدر تجيب
+
+444
+00:47:03,730 --> 00:47:11,270
+الآية؟ صورة الإسراء اسمعك
+
+445
+00:47:11,270 --> 00:47:18,190
+وين؟ ويدعو الإنسان بالشر دعاه بالخير وكان الإنسان 
+
+446
+00:47:18,190 --> 00:47:23,230
+عجولة، بيستعجل كتير، تمام؟ وهذا هو الذي حدث معاك
+
+447
+00:47:24,330 --> 00:47:25,850
+يبقى واطنة واطنة واطنة واطنة واطنة واطنة واطنة
+
+448
+00:47:25,850 --> 00:47:27,190
+واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة
+
+449
+00:47:27,190 --> 00:47:29,890
+واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة
+
+450
+00:47:29,890 --> 00:47:37,330
+واطنة واطنة واطنة واطنة
+
+451
+00:47:37,330 --> 00:47:39,630
+واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة
+
+452
+00:47:39,630 --> 00:47:41,790
+واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة
+
+453
+00:47:41,790 --> 00:47:44,930
+واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة
+
+454
+00:47:44,930 --> 00:47:53,270
+واطنة واطنة واطنة واطنة
+
+455
+00:47:53,640 --> 00:48:04,220
+لمن؟ لتان الـ X في سك تربيع الـ X ناقص سش الـ X
+
+456
+00:48:04,220 --> 00:48:11,380
+النقطة الخامسة النقطة
+
+457
+00:48:11,380 --> 00:48:17,960
+الخامسة عندك Y تساوي جوش الـ X
+
+458
+00:48:33,320 --> 00:48:37,440
+واضح أن هذه عبارة عن أيش؟ هذه عبارة عن function
+
+459
+00:48:37,440 --> 00:48:43,020
+ثانية إذن هذه مشتقة حاصل ضرب دالتين بدنا نرجع إلى
+
+460
+00:48:43,020 --> 00:48:47,880
+مشتقة حاصل ضرب دالتين اللي هو الأولى في مشتقة
+
+461
+00:48:47,880 --> 00:48:55,180
+الثانية زائد الثانية في مشتقة الأولى يبقى هاي Y
+
+462
+00:48:55,180 --> 00:49:02,320
+يساوي جوش الـ X اللي هو الأولى مشتقة تان inverse هو 1
+
+463
+00:49:02,320 --> 00:49:07,520
+على 1 زائد sinh square X في مشتقة الـ sinh اللي هو
+
+464
+00:49:07,520 --> 00:49:14,230
+cosh بقى الـ X هذه لسه الأولى في مشتقة cosh الثانية
+
+465
+00:49:14,230 --> 00:49:22,470
+زائد الثانية في مشتقة الأولى يبقى هنا tan inverse
+
+466
+00:49:22,470 --> 00:49:31,770
+لسنش الـ X في مشتقة الجوش اللي هو cosh بسنش الـ X حد
+
+467
+00:49:31,770 --> 00:49:37,170
+شافه يقدر يقول لي كده المقدار هذا سيكون واحد صحيح
+
+468
+00:49:45,460 --> 00:49:53,360
+النتيجة تساوي واحد صحيح وهنا زائد اللي هو ten
+
+469
+00:49:53,360 --> 00:50:04,600
+inverse لسينش الـ X في من؟ في سينش الـ X طيب نروح للنقطة
+
+470
+00:50:04,600 --> 00:50:11,500
+السادسة والأخيرة من الـ derivatives يقول
+
+471
+00:50:11,500 --> 00:50:17,620
+الحمد لله الراجل متضايق تنفذ السعاداء طيب يبقى ستة
+
+472
+00:50:17,620 --> 00:50:26,240
+Y تساوي الـ X في جوش الـ X مين قال فيك الحمد لله
+
+473
+00:50:26,240 --> 00:50:30,320
+نشوف احنا ويا شغلنا مع المسألة هذه مين اللي قال
+
+474
+00:50:30,320 --> 00:50:36,500
+الحمد لله يعني أن أنا متضايق أو زهقانت؟ عم أنت اسم
+
+475
+00:50:36,500 --> 00:50:41,420
+ابني هناك شو اسمك أنت؟ item البنى item البنى بده
+
+476
+00:50:41,420 --> 00:50:46,100
+يبنينا الحل اللي هنا عندي هذه المثلة نشوف هل هو
+
+477
+00:50:46,100 --> 00:50:51,020
+بده يبني بناء صحيحا ولا بناء خاصة إذا كان من كلية
+
+478
+00:50:51,020 --> 00:50:56,060
+الهندسة يعني طيب ايش بدك تقترح علينا؟
+
+479
+00:50:58,610 --> 00:51:02,850
+وجهة نظر سليمة جدا لما ناخد لن الطرفين
+
+480
+00:51:08,580 --> 00:51:14,400
+يبقى أنا عندي طريقين وأي طريق نصركوا صحيح يا اما
+
+481
+00:51:14,400 --> 00:51:18,700
+بأخذ لن الطرفين ثم الاشتقاق وهذا اللي كنا
+
+482
+00:51:18,700 --> 00:51:26,260
+نسميه التفاضل اللغاريثمي يا اما يا اما بروح تمام
+
+483
+00:51:26,260 --> 00:51:31,640
+تمام يبقى بدي أكتب هذه بدلالة الـ exponential يبقى
+
+484
+00:51:31,640 --> 00:51:39,030
+E أس جوش الـ X لن الـ X بالشكل اللي عندها أو بمن؟
+
+485
+00:51:39,030 --> 00:51:43,990
+بطريقتنا الأولى طيب يبقى الآن بدا أقوله الـ Y'
+
+486
+00:51:44,570 --> 00:51:51,910
+يساوي الـ exponential كما هي جوش الـ X في لن الـ X في
+
+487
+00:51:51,910 --> 00:51:56,270
+تفاضل الأس تبع الـ exponential اللي هو حصل ضرب
+
+488
+00:51:56,270 --> 00:52:04,100
+دالتين يبقى جوش الـ X في واحد على X زائد لن الـ X في
+
+489
+00:52:04,100 --> 00:52:09,220
+تفاضل الجوش اللي هو بسنش الـ X الشكل اللي عندنا هنا
+
+490
+00:52:09,220 --> 00:52:16,580
+ممكن نرجعها إلى أصلها ونكتب X أس جوش الـ X في مين؟
+
+491
+00:52:16,580 --> 00:52:26,100
+في جوش الـ X على X زائد لن الـ X في سينش الـ X آخر
+
+492
+00:52:26,100 --> 00:52:29,700
+سؤال اللي هو مثال 4 evaluate
+
+493
+00:52:32,250 --> 00:52:37,950
+the following integrals
+
+494
+00:52:37,950 --> 00:52:42,650
+سبل التكاملات التالية
+
+495
+00:52:44,700 --> 00:52:51,560
+النقطة الأولى اللي وعدناكوا فيها قبل قليل اللي هي
+
+496
+00:52:51,560 --> 00:53:01,140
+تكامل لمين؟ لتنش الـ X DX وأيه السوء تكامل ليه؟
+
+497
+00:53:01,140 --> 00:53:09,730
+تنش اللي هو سينش الـ X على جوش الـ X DX البسطة فضل
+
+498
+00:53:09,730 --> 00:53:16,510
+المقام يبقى لأن absolute value في دعيه كتبها لأن
+
+499
+00:53:16,510 --> 00:53:21,770
+الجوش من واحد فمفروض لغاية الملأ نهائية يبقى لأن
+
+500
+00:53:21,770 --> 00:53:30,430
+جوش الـ X زاد كلص تلسي يبقى good exercise إلك تكامل 
+
+501
+00:53:30,430 --> 00:53:32,610
+ل potential X
+
+502
+00:53:40,240 --> 00:53:51,840
+النقطة الثانية بدنا تكامل لـ cos X DX Y يساوي يلّا
+
+503
+00:53:51,840 --> 00:53:55,940
+اثنين
+
+504
+00:53:55,940 --> 00:54:07,080
+على e<sup>cos X</sup> زائد e<sup>-cos X</sup> DX  واضرب في e<sup>cos X</sup> و اجمع
+
+505
+00:54:07,080 --> 00:54:19,380
+على e<sup>cos X</sup> بصير اثنين تكامل e<sup>cos X</sup> DX على e<sup>2cos X</sup> زائد 1
+
+506
+00:54:21,430 --> 00:54:30,710
+تمام؟ لو حطيت e<sup>cos X</sup> بـ variable وليكن T تساوي e<sup>cos X</sup> يبقى
+
+507
+00:54:30,710 --> 00:54:41,250
+dT بـ -e<sup>cos X</sup>  DX إذا قالت المسألة الاثنين تكامل DT على T
+
+508
+00:54:41,250 --> 00:54:48,410
+تربيع زائد 1 اللي هو اثنين tan inverse T زائد
+
+509
+00:54:48,410 --> 00:54:55,950
+constant C يبقى اثنين tan inverse U of X زائد
+
+510
+00:54:55,950 --> 00:54:57,810
+constant C يعطيك العافية 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/RUWtLhZpb-g_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/RUWtLhZpb-g_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..26a261b8e4d3f6f8c5627d134228a87cbffff012
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/RUWtLhZpb-g_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 268, "start": 0.0, "end": 2.68, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3717447817325592, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.0029811859130859375, "words": [{"start": 0.0, "end": 2.68, "word": "موسيقى", "probability": 0.7352294921875}], "temperature": 1.0}, {"id": 2, "seek": 4029, "start": 14.99, "end": 40.29, "text": "بنكمل ال section اللى ابتدأناه المرة الماضية وهو ال hyperbolic functions طبعا عرفنا الدوالي الزائدية الستة اللى هى ال hyperbolic functions اللى هوا essential x, gaussial x, tensial x, equotential x, sessial x, cotential x يبقى هم اللى عرفناهم بدلات ال exponential function E و6 وEو-X", "tokens": [3555, 1863, 24793, 1211, 2423, 3541, 13672, 7578, 48127, 2655, 3215, 10721, 8315, 3224, 9673, 25720, 9673, 46958, 10632, 37037, 2407, 2423, 9848, 65, 7940, 6828, 23032, 3555, 3615, 995, 6225, 28480, 8315, 32748, 2407, 6027, 1829, 6024, 110, 16373, 3215, 10632, 2423, 14851, 3660, 13672, 7578, 8032, 7578, 2423, 9848, 65, 7940, 6828, 13672, 7578, 8032, 14407, 7115, 2031, 11, 5959, 2023, 831, 2031, 11, 10688, 831, 2031, 11, 1267, 310, 2549, 2031, 11, 262, 442, 831, 2031, 11, 26529, 2549, 2031, 7251, 3555, 4587, 7578, 8032, 2304, 13672, 7578, 6225, 28480, 8315, 16095, 47525, 1211, 9307, 2423, 21510, 2445, 462, 4032, 21, 4032, 36, 2407, 12, 55], "avg_logprob": -0.35965910445560106, "compression_ratio": 1.7808219178082192, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 14.99, "end": 15.99, "word": "بنكمل", "probability": 0.6275634765625}, {"start": 15.99, "end": 16.43, "word": " ال", "probability": 0.26025390625}, {"start": 16.43, "end": 16.75, "word": " section", "probability": 0.348388671875}, {"start": 16.75, "end": 16.97, "word": " اللى", "probability": 0.65966796875}, {"start": 16.97, "end": 17.61, "word": " ابتدأناه", "probability": 0.8345540364583334}, {"start": 17.61, "end": 17.95, "word": " المرة", "probability": 0.925048828125}, {"start": 17.95, "end": 18.67, "word": " الماضية", "probability": 0.9864908854166666}, {"start": 18.67, "end": 19.87, "word": " وهو", "probability": 0.89990234375}, {"start": 19.87, "end": 20.09, "word": " ال", "probability": 0.83203125}, {"start": 20.09, "end": 20.91, "word": " hyperbolic", "probability": 0.8349609375}, {"start": 20.91, "end": 21.57, "word": " functions", "probability": 0.82421875}, {"start": 21.57, "end": 22.41, "word": " طبعا", "probability": 0.878173828125}, {"start": 22.41, "end": 23.15, "word": " عرفنا", "probability": 0.9052734375}, {"start": 23.15, "end": 24.03, "word": " الدوالي", "probability": 0.8685302734375}, {"start": 24.03, "end": 24.79, "word": " الزائدية", "probability": 0.86640625}, {"start": 24.79, "end": 25.31, "word": " الستة", "probability": 0.7537434895833334}, {"start": 25.31, "end": 25.39, "word": " اللى", "probability": 0.892578125}, {"start": 25.39, "end": 25.51, "word": " هى", "probability": 0.753662109375}, {"start": 25.51, "end": 25.59, "word": " ال", "probability": 0.55615234375}, {"start": 25.59, "end": 26.17, "word": " hyperbolic", "probability": 0.9698893229166666}, {"start": 26.17, "end": 26.91, "word": " functions", "probability": 0.8642578125}, {"start": 26.91, "end": 27.59, "word": " اللى", "probability": 0.938720703125}, {"start": 27.59, "end": 27.69, "word": " هوا", "probability": 0.535400390625}, {"start": 27.69, "end": 28.11, "word": " essential", "probability": 0.6513671875}, {"start": 28.11, "end": 28.73, "word": " x,", "probability": 0.4296875}, {"start": 28.87, "end": 29.35, "word": " gaussial", "probability": 0.4893391927083333}, {"start": 29.35, "end": 29.73, "word": " x,", "probability": 0.947265625}, {"start": 29.85, "end": 30.35, "word": " tensial", "probability": 0.278594970703125}, {"start": 30.35, "end": 30.83, "word": " x,", "probability": 0.966796875}, {"start": 31.33, "end": 31.93, "word": " equotential", "probability": 0.6798502604166666}, {"start": 31.93, "end": 32.43, "word": " x,", "probability": 0.96435546875}, {"start": 32.55, "end": 32.97, "word": " sessial", "probability": 0.6314290364583334}, {"start": 32.97, "end": 33.35, "word": " x,", "probability": 0.97900390625}, {"start": 33.39, "end": 33.99, "word": " cotential", "probability": 0.4305419921875}, {"start": 33.99, "end": 34.67, "word": " x", "probability": 0.8974609375}, {"start": 34.67, "end": 35.39, "word": " يبقى", "probability": 0.70123291015625}, {"start": 35.39, "end": 35.51, "word": " هم", "probability": 0.4854736328125}, {"start": 35.51, "end": 35.61, "word": " اللى", "probability": 0.917724609375}, {"start": 35.61, "end": 36.19, "word": " عرفناهم", "probability": 0.97265625}, {"start": 36.19, "end": 36.67, "word": " بدلات", "probability": 0.84375}, {"start": 36.67, "end": 36.85, "word": " ال", "probability": 0.9638671875}, {"start": 36.85, "end": 37.57, "word": " exponential", "probability": 0.90673828125}, {"start": 37.57, "end": 38.27, "word": " function", "probability": 0.93701171875}, {"start": 38.27, "end": 38.55, "word": " E", "probability": 0.61328125}, {"start": 38.55, "end": 39.07, "word": " و6", "probability": 0.22894287109375}, {"start": 39.07, "end": 39.59, "word": " وEو", "probability": 0.5460205078125}, {"start": 39.59, "end": 40.29, "word": "-X", "probability": 0.6865234375}], "temperature": 1.0}, {"id": 3, "seek": 6303, "start": 40.55, "end": 63.03, "text": "ثم رسمنا الرسومات الستة هذا آخر ما أخدنا المرة الماضية الآن فينا بعض المتطابقات المرتبطة بالدوال الزائدية يبقى بيننا نيجي هنا اللي هو some identities", "tokens": [12984, 2304, 12602, 38251, 8315, 34892, 3794, 20498, 9307, 21136, 2655, 3660, 23758, 19753, 34740, 19446, 5551, 9778, 3215, 8315, 9673, 25720, 9673, 46958, 10632, 6024, 48506, 8978, 8315, 45030, 11242, 9673, 2655, 9566, 16758, 4587, 9307, 9673, 43500, 3555, 9566, 3660, 20666, 3215, 2407, 6027, 6024, 110, 16373, 3215, 10632, 7251, 3555, 4587, 7578, 49374, 8315, 8717, 1829, 7435, 1829, 34105, 13672, 1829, 31439, 512, 24239], "avg_logprob": -0.15992646927342696, "compression_ratio": 1.6049382716049383, "no_speech_prob": 0.0, "words": [{"start": 40.55, "end": 41.13, "word": "ثم", "probability": 0.821533203125}, {"start": 41.13, "end": 41.79, "word": " رسمنا", "probability": 0.9801432291666666}, {"start": 41.79, "end": 42.47, "word": " الرسومات", "probability": 0.890380859375}, {"start": 42.47, "end": 43.07, "word": " الستة", "probability": 0.8365885416666666}, {"start": 43.07, "end": 43.37, "word": " هذا", "probability": 0.4609375}, {"start": 43.37, "end": 44.01, "word": " آخر", "probability": 0.75927734375}, {"start": 44.01, "end": 44.51, "word": " ما", "probability": 0.9052734375}, {"start": 44.51, "end": 45.31, "word": " أخدنا", "probability": 0.883544921875}, {"start": 45.31, "end": 45.97, "word": " المرة", "probability": 0.970458984375}, {"start": 45.97, "end": 46.89, "word": " الماضية", "probability": 0.9944661458333334}, {"start": 46.89, "end": 49.11, "word": " الآن", "probability": 0.656982421875}, {"start": 49.11, "end": 49.55, "word": " فينا", "probability": 0.490478515625}, {"start": 49.55, "end": 50.09, "word": " بعض", "probability": 0.927734375}, {"start": 50.09, "end": 52.21, "word": " المتطابقات", "probability": 0.98291015625}, {"start": 52.21, "end": 53.53, "word": " المرتبطة", "probability": 0.97578125}, {"start": 53.53, "end": 54.39, "word": " بالدوال", "probability": 0.904052734375}, {"start": 54.39, "end": 55.83, "word": " الزائدية", "probability": 0.833740234375}, {"start": 55.83, "end": 56.61, "word": " يبقى", "probability": 0.9393310546875}, {"start": 56.61, "end": 57.01, "word": " بيننا", "probability": 0.657958984375}, {"start": 57.01, "end": 57.59, "word": " نيجي", "probability": 0.9578857421875}, {"start": 57.59, "end": 58.33, "word": " هنا", "probability": 0.95263671875}, {"start": 58.33, "end": 59.27, "word": " اللي", "probability": 0.87646484375}, {"start": 59.27, "end": 59.51, "word": " هو", "probability": 0.98486328125}, {"start": 59.51, "end": 60.37, "word": " some", "probability": 0.8330078125}, {"start": 60.37, "end": 63.03, "word": " identities", "probability": 0.8662109375}], "temperature": 1.0}, {"id": 4, "seek": 8506, "start": 66.44, "end": 85.06, "text": "بعض الواقعات المتطابقات المثلثية التي درسناها في Calculus A", "tokens": [3555, 3615, 11242, 2423, 14407, 4587, 3615, 9307, 9673, 2655, 9566, 16758, 4587, 9307, 9673, 12984, 1211, 12984, 10632, 38392, 11778, 2288, 3794, 8315, 11296, 8978, 3511, 36002, 316], "avg_logprob": -0.5083333611488342, "compression_ratio": 1.1477272727272727, "no_speech_prob": 0.0, "words": [{"start": 66.44, "end": 66.92, "word": "بعض", "probability": 0.7100830078125}, {"start": 66.92, "end": 68.0, "word": " الواقعات", "probability": 0.6005126953125}, {"start": 68.0, "end": 81.7, "word": " المتطابقات", "probability": 0.5890096028645834}, {"start": 81.7, "end": 83.06, "word": " المثلثية", "probability": 0.81484375}, {"start": 83.06, "end": 83.14, "word": " التي", "probability": 0.250732421875}, {"start": 83.14, "end": 83.82, "word": " درسناها", "probability": 0.85166015625}, {"start": 83.82, "end": 83.96, "word": " في", "probability": 0.87744140625}, {"start": 83.96, "end": 84.64, "word": " Calculus", "probability": 0.759521484375}, {"start": 84.64, "end": 85.06, "word": " A", "probability": 0.62060546875}], "temperature": 1.0}, {"id": 5, "seek": 11400, "start": 85.52, "end": 114.0, "text": "أول متطابقة كامة cosine تربيع ال X زي تصين تربيع ال X ساوي إذن هنا في متطابقة مناظرة إلها تماماً أول متطابقة من هذه المتطابقات وحنقول النقطة الأولى منها اللي هي Gauss square X ماقصينش square X كله بده يساوي كده؟ بده يساوي واحد صحيح", "tokens": [10721, 12610, 44650, 9566, 16758, 28671, 9122, 10943, 3660, 23565, 6055, 2288, 21292, 3615, 2423, 1783, 30767, 1829, 6055, 9381, 9957, 6055, 2288, 21292, 3615, 2423, 1783, 8608, 995, 45865, 11933, 8848, 1863, 34105, 8978, 44650, 9566, 16758, 28671, 9154, 5718, 116, 25720, 11933, 1211, 11296, 46811, 10943, 995, 14111, 5551, 12610, 44650, 9566, 16758, 28671, 9154, 29538, 9673, 2655, 9566, 16758, 4587, 9307, 4032, 5016, 1863, 39648, 28239, 47432, 3660, 16247, 12610, 7578, 9154, 11296, 13672, 1829, 39896, 10384, 2023, 3732, 1783, 19446, 4587, 9381, 9957, 8592, 3732, 1783, 28242, 3224, 47525, 3224, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 47525, 3224, 7251, 3794, 995, 45865, 36764, 24401, 20328, 5016, 1829, 5016], "avg_logprob": -0.2184782546499501, "compression_ratio": 1.8708133971291867, "no_speech_prob": 0.0, "words": [{"start": 85.52, "end": 86.06, "word": "أول", "probability": 0.731689453125}, {"start": 86.06, "end": 86.92, "word": " متطابقة", "probability": 0.96240234375}, {"start": 86.92, "end": 87.4, "word": " كامة", "probability": 0.8121744791666666}, {"start": 87.4, "end": 87.78, "word": " cosine", "probability": 0.274658203125}, {"start": 87.78, "end": 88.62, "word": " تربيع", "probability": 0.8348388671875}, {"start": 88.62, "end": 88.78, "word": " ال", "probability": 0.82763671875}, {"start": 88.78, "end": 88.92, "word": " X", "probability": 0.62109375}, {"start": 88.92, "end": 89.2, "word": " زي", "probability": 0.817138671875}, {"start": 89.2, "end": 89.56, "word": " تصين", "probability": 0.6519368489583334}, {"start": 89.56, "end": 90.04, "word": " تربيع", "probability": 0.9664306640625}, {"start": 90.04, "end": 90.16, "word": " ال", "probability": 0.82470703125}, {"start": 90.16, "end": 90.32, "word": " X", "probability": 0.990234375}, {"start": 90.32, "end": 90.98, "word": " ساوي", "probability": 0.8525390625}, {"start": 90.98, "end": 92.1, "word": " إذن", "probability": 0.4395345052083333}, {"start": 92.1, "end": 92.4, "word": " هنا", "probability": 0.9755859375}, {"start": 92.4, "end": 92.62, "word": " في", "probability": 0.77197265625}, {"start": 92.62, "end": 93.58, "word": " متطابقة", "probability": 0.95849609375}, {"start": 93.58, "end": 94.34, "word": " مناظرة", "probability": 0.75537109375}, {"start": 94.34, "end": 94.9, "word": " إلها", "probability": 0.80224609375}, {"start": 94.9, "end": 96.38, "word": " تماماً", "probability": 0.8160400390625}, {"start": 96.38, "end": 96.86, "word": " أول", "probability": 0.793701171875}, {"start": 96.86, "end": 97.94, "word": " متطابقة", "probability": 0.991455078125}, {"start": 97.94, "end": 98.24, "word": " من", "probability": 0.9873046875}, {"start": 98.24, "end": 98.7, "word": " هذه", "probability": 0.98095703125}, {"start": 98.7, "end": 100.56, "word": " المتطابقات", "probability": 0.991943359375}, {"start": 100.56, "end": 101.52, "word": " وحنقول", "probability": 0.76025390625}, {"start": 101.52, "end": 102.22, "word": " النقطة", "probability": 0.9812825520833334}, {"start": 102.22, "end": 102.76, "word": " الأولى", "probability": 0.9283854166666666}, {"start": 102.76, "end": 103.34, "word": " منها", "probability": 0.98974609375}, {"start": 103.34, "end": 103.7, "word": " اللي", "probability": 0.912109375}, {"start": 103.7, "end": 104.18, "word": " هي", "probability": 0.642578125}, {"start": 104.18, "end": 104.96, "word": " Gauss", "probability": 0.55859375}, {"start": 104.96, "end": 105.68, "word": " square", "probability": 0.5107421875}, {"start": 105.68, "end": 106.5, "word": " X", "probability": 0.857421875}, {"start": 106.5, "end": 108.22, "word": " ماقصينش", "probability": 0.7005126953125}, {"start": 108.22, "end": 108.88, "word": " square", "probability": 0.7314453125}, {"start": 108.88, "end": 109.56, "word": " X", "probability": 0.9921875}, {"start": 109.56, "end": 110.34, "word": " كله", "probability": 0.955078125}, {"start": 110.34, "end": 110.58, "word": " بده", "probability": 0.76611328125}, {"start": 110.58, "end": 110.92, "word": " يساوي", "probability": 0.931640625}, {"start": 110.92, "end": 111.76, "word": " كده؟", "probability": 0.7266845703125}, {"start": 111.76, "end": 112.18, "word": " بده", "probability": 0.91015625}, {"start": 112.18, "end": 112.8, "word": " يساوي", "probability": 0.975830078125}, {"start": 112.8, "end": 113.5, "word": " واحد", "probability": 0.886962890625}, {"start": 113.5, "end": 114.0, "word": " صحيح", "probability": 0.954833984375}], "temperature": 1.0}, {"id": 6, "seek": 14218, "start": 114.48, "end": 142.18, "text": "اللي هناك تبع تتبع المثلثية كانت بمين بالذات البرهان very easy كيف very easy؟ أبدا المرة اللي فاتت كتبنا جداش اللي هو الجوش و جداش الصنش فقلنا الصنش ال X هي E و ال 6 نقص E و S نقص 6 على 2 و التاني E و 6 زادي E و S نقص 6 على 2 رابع عادي و رابع عادي و اطرحهم من بعض بطلع منك واحد صحيح يبقى very easy", "tokens": [6027, 20292, 34105, 4117, 6055, 3555, 3615, 6055, 2655, 3555, 3615, 9673, 12984, 1211, 12984, 10632, 25961, 2655, 4724, 2304, 9957, 20666, 8848, 9307, 2423, 26890, 3224, 7649, 588, 1858, 9122, 33911, 588, 1858, 22807, 5551, 3555, 28259, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 9122, 2655, 3555, 8315, 10874, 3215, 33599, 13672, 1829, 31439, 25724, 2407, 8592, 4032, 10874, 3215, 33599, 31767, 1863, 8592, 6156, 4587, 1211, 8315, 31767, 1863, 8592, 2423, 1783, 39896, 462, 4032, 2423, 1386, 8717, 4587, 9381, 462, 4032, 318, 8717, 4587, 9381, 1386, 15844, 568, 4032, 16712, 7649, 1829, 462, 4032, 1386, 30767, 995, 16254, 462, 4032, 318, 8717, 4587, 9381, 1386, 15844, 568, 12602, 16758, 3615, 6225, 995, 16254, 4032, 12602, 16758, 3615, 6225, 995, 16254, 4032, 1975, 9566, 2288, 5016, 16095, 9154, 45030, 11242, 4724, 9566, 1211, 3615, 9154, 4117, 36764, 24401, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 588, 1858], "avg_logprob": -0.288700337046819, "compression_ratio": 1.9209486166007905, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 114.48, "end": 114.84, "word": "اللي", "probability": 0.5164794921875}, {"start": 114.84, "end": 115.18, "word": " هناك", "probability": 0.9189453125}, {"start": 115.18, "end": 115.38, "word": " تبع", "probability": 0.6014404296875}, {"start": 115.38, "end": 115.78, "word": " تتبع", "probability": 0.7666015625}, {"start": 115.78, "end": 116.72, "word": " المثلثية", "probability": 0.828662109375}, {"start": 116.72, "end": 117.14, "word": " كانت", "probability": 0.8916015625}, {"start": 117.14, "end": 117.7, "word": " بمين", "probability": 0.8359375}, {"start": 117.7, "end": 118.88, "word": " بالذات", "probability": 0.8365885416666666}, {"start": 118.88, "end": 120.1, "word": " البرهان", "probability": 0.85009765625}, {"start": 120.1, "end": 120.4, "word": " very", "probability": 0.352294921875}, {"start": 120.4, "end": 120.96, "word": " easy", "probability": 0.96533203125}, {"start": 120.96, "end": 121.38, "word": " كيف", "probability": 0.87158203125}, {"start": 121.38, "end": 121.66, "word": " very", "probability": 0.7939453125}, {"start": 121.66, "end": 122.6, "word": " easy؟", "probability": 0.78466796875}, {"start": 122.6, "end": 123.12, "word": " أبدا", "probability": 0.6946614583333334}, {"start": 123.12, "end": 123.52, "word": " المرة", "probability": 0.712646484375}, {"start": 123.52, "end": 123.72, "word": " اللي", "probability": 0.86181640625}, {"start": 123.72, "end": 124.06, "word": " فاتت", "probability": 0.92236328125}, {"start": 124.06, "end": 124.56, "word": " كتبنا", "probability": 0.88623046875}, {"start": 124.56, "end": 125.2, "word": " جداش", "probability": 0.78662109375}, {"start": 125.2, "end": 125.46, "word": " اللي", "probability": 0.97412109375}, {"start": 125.46, "end": 125.62, "word": " هو", "probability": 0.9833984375}, {"start": 125.62, "end": 126.08, "word": " الجوش", "probability": 0.9197591145833334}, {"start": 126.08, "end": 126.2, "word": " و", "probability": 0.465087890625}, {"start": 126.2, "end": 126.62, "word": " جداش", "probability": 0.9283854166666666}, {"start": 126.62, "end": 127.24, "word": " الصنش", "probability": 0.7312825520833334}, {"start": 127.24, "end": 128.16, "word": " فقلنا", "probability": 0.73358154296875}, {"start": 128.16, "end": 128.66, "word": " الصنش", "probability": 0.884765625}, {"start": 128.66, "end": 128.84, "word": " ال", "probability": 0.7294921875}, {"start": 128.84, "end": 129.08, "word": " X", "probability": 0.444580078125}, {"start": 129.08, "end": 129.32, "word": " هي", "probability": 0.89599609375}, {"start": 129.32, "end": 129.5, "word": " E", "probability": 0.334716796875}, {"start": 129.5, "end": 129.64, "word": " و", "probability": 0.3662109375}, {"start": 129.64, "end": 129.78, "word": " ال", "probability": 0.75390625}, {"start": 129.78, "end": 130.04, "word": " 6", "probability": 0.483642578125}, {"start": 130.04, "end": 130.46, "word": " نقص", "probability": 0.9039713541666666}, {"start": 130.46, "end": 130.58, "word": " E", "probability": 0.71240234375}, {"start": 130.58, "end": 130.68, "word": " و", "probability": 0.72607421875}, {"start": 130.68, "end": 130.8, "word": " S", "probability": 0.0848388671875}, {"start": 130.8, "end": 131.08, "word": " نقص", "probability": 0.9000651041666666}, {"start": 131.08, "end": 131.36, "word": " 6", "probability": 0.364013671875}, {"start": 131.36, "end": 131.64, "word": " على", "probability": 0.69921875}, {"start": 131.64, "end": 132.02, "word": " 2", "probability": 0.85302734375}, {"start": 132.02, "end": 132.82, "word": " و", "probability": 0.740234375}, {"start": 132.82, "end": 133.38, "word": " التاني", "probability": 0.7620442708333334}, {"start": 133.38, "end": 133.48, "word": " E", "probability": 0.54638671875}, {"start": 133.48, "end": 133.62, "word": " و", "probability": 0.17822265625}, {"start": 133.62, "end": 133.8, "word": " 6", "probability": 0.4638671875}, {"start": 133.8, "end": 134.24, "word": " زادي", "probability": 0.7604166666666666}, {"start": 134.24, "end": 134.36, "word": " E", "probability": 0.712890625}, {"start": 134.36, "end": 134.48, "word": " و", "probability": 0.974609375}, {"start": 134.48, "end": 134.6, "word": " S", "probability": 0.85791015625}, {"start": 134.6, "end": 134.92, "word": " نقص", "probability": 0.986328125}, {"start": 134.92, "end": 135.18, "word": " 6", "probability": 0.9501953125}, {"start": 135.18, "end": 135.38, "word": " على", "probability": 0.89501953125}, {"start": 135.38, "end": 135.66, "word": " 2", "probability": 0.98681640625}, {"start": 135.66, "end": 136.18, "word": " رابع", "probability": 0.5853678385416666}, {"start": 136.18, "end": 136.44, "word": " عادي", "probability": 0.6997884114583334}, {"start": 136.44, "end": 136.58, "word": " و", "probability": 0.94677734375}, {"start": 136.58, "end": 136.92, "word": " رابع", "probability": 0.9729817708333334}, {"start": 136.92, "end": 137.14, "word": " عادي", "probability": 0.9879557291666666}, {"start": 137.14, "end": 137.26, "word": " و", "probability": 0.91650390625}, {"start": 137.26, "end": 137.6, "word": " اطرحهم", "probability": 0.65166015625}, {"start": 137.6, "end": 137.74, "word": " من", "probability": 0.98876953125}, {"start": 137.74, "end": 138.26, "word": " بعض", "probability": 0.991943359375}, {"start": 138.26, "end": 139.2, "word": " بطلع", "probability": 0.80712890625}, {"start": 139.2, "end": 139.44, "word": " منك", "probability": 0.481689453125}, {"start": 139.44, "end": 139.68, "word": " واحد", "probability": 0.9951171875}, {"start": 139.68, "end": 140.34, "word": " صحيح", "probability": 0.9603271484375}, {"start": 140.34, "end": 140.94, "word": " يبقى", "probability": 0.80731201171875}, {"start": 140.94, "end": 141.76, "word": " very", "probability": 0.8720703125}, {"start": 141.76, "end": 142.18, "word": " easy", "probability": 0.9541015625}], "temperature": 1.0}, {"id": 7, "seek": 17220, "start": 143.06, "end": 172.2, "text": "من هذه سأخرج تنتين الأولى فيهم شكل التالي أقسم على جوش square يبقى لو قسمت على جوش square يبقى لدي واحد نخص سنش square على جوش square واليمين تانش square يبقى هنا تانش square X يسوى واحد على جوش square اللي هو مقلب من سنش square X", "tokens": [27842, 29538, 8608, 10721, 34740, 7435, 6055, 29399, 9957, 16247, 12610, 7578, 8978, 16095, 13412, 28820, 16712, 6027, 1829, 5551, 4587, 38251, 15844, 10874, 2407, 8592, 3732, 7251, 3555, 4587, 7578, 45164, 12174, 38251, 2655, 15844, 10874, 2407, 8592, 3732, 7251, 3555, 4587, 7578, 5296, 16254, 36764, 24401, 8717, 9778, 9381, 8608, 1863, 8592, 3732, 15844, 10874, 2407, 8592, 3732, 16070, 32640, 9957, 6055, 7649, 8592, 3732, 7251, 3555, 4587, 7578, 34105, 6055, 7649, 8592, 3732, 1783, 7251, 3794, 2407, 7578, 36764, 24401, 15844, 10874, 2407, 8592, 3732, 13672, 1829, 31439, 3714, 4587, 46152, 9154, 8608, 1863, 8592, 3732, 1783], "avg_logprob": -0.3163675860603257, "compression_ratio": 2.116279069767442, "no_speech_prob": 0.0, "words": [{"start": 143.06, "end": 143.42, "word": "من", "probability": 0.335205078125}, {"start": 143.42, "end": 143.72, "word": " هذه", "probability": 0.517578125}, {"start": 143.72, "end": 144.28, "word": " سأخرج", "probability": 0.47418212890625}, {"start": 144.28, "end": 145.06, "word": " تنتين", "probability": 0.5786946614583334}, {"start": 145.06, "end": 146.66, "word": " الأولى", "probability": 0.7916666666666666}, {"start": 146.66, "end": 147.3, "word": " فيهم", "probability": 0.855224609375}, {"start": 147.3, "end": 148.28, "word": " شكل", "probability": 0.73681640625}, {"start": 148.28, "end": 148.88, "word": " التالي", "probability": 0.8377278645833334}, {"start": 148.88, "end": 150.66, "word": " أقسم", "probability": 0.5550130208333334}, {"start": 150.66, "end": 150.98, "word": " على", "probability": 0.90966796875}, {"start": 150.98, "end": 151.46, "word": " جوش", "probability": 0.8707682291666666}, {"start": 151.46, "end": 152.04, "word": " square", "probability": 0.6025390625}, {"start": 152.04, "end": 152.48, "word": " يبقى", "probability": 0.8314208984375}, {"start": 152.48, "end": 152.68, "word": " لو", "probability": 0.8388671875}, {"start": 152.68, "end": 153.26, "word": " قسمت", "probability": 0.8523763020833334}, {"start": 153.26, "end": 153.42, "word": " على", "probability": 0.89990234375}, {"start": 153.42, "end": 153.72, "word": " جوش", "probability": 0.9908854166666666}, {"start": 153.72, "end": 154.12, "word": " square", "probability": 0.8505859375}, {"start": 154.12, "end": 154.42, "word": " يبقى", "probability": 0.72930908203125}, {"start": 154.42, "end": 154.86, "word": " لدي", "probability": 0.6241455078125}, {"start": 154.86, "end": 155.48, "word": " واحد", "probability": 0.901611328125}, {"start": 155.48, "end": 156.24, "word": " نخص", "probability": 0.7537434895833334}, {"start": 156.24, "end": 157.3, "word": " سنش", "probability": 0.552734375}, {"start": 157.3, "end": 157.84, "word": " square", "probability": 0.669921875}, {"start": 157.84, "end": 158.1, "word": " على", "probability": 0.8349609375}, {"start": 158.1, "end": 158.56, "word": " جوش", "probability": 0.99072265625}, {"start": 158.56, "end": 159.02, "word": " square", "probability": 0.84716796875}, {"start": 159.02, "end": 159.68, "word": " واليمين", "probability": 0.5624593098958334}, {"start": 159.68, "end": 160.4, "word": " تانش", "probability": 0.6555989583333334}, {"start": 160.4, "end": 161.1, "word": " square", "probability": 0.84228515625}, {"start": 161.1, "end": 162.32, "word": " يبقى", "probability": 0.9453125}, {"start": 162.32, "end": 162.66, "word": " هنا", "probability": 0.93505859375}, {"start": 162.66, "end": 163.3, "word": " تانش", "probability": 0.9296875}, {"start": 163.3, "end": 163.98, "word": " square", "probability": 0.87353515625}, {"start": 163.98, "end": 164.48, "word": " X", "probability": 0.67236328125}, {"start": 164.48, "end": 165.44, "word": " يسوى", "probability": 0.775390625}, {"start": 165.44, "end": 166.18, "word": " واحد", "probability": 0.9677734375}, {"start": 166.18, "end": 166.54, "word": " على", "probability": 0.8818359375}, {"start": 166.54, "end": 167.02, "word": " جوش", "probability": 0.99462890625}, {"start": 167.02, "end": 167.72, "word": " square", "probability": 0.8720703125}, {"start": 167.72, "end": 168.24, "word": " اللي", "probability": 0.5760498046875}, {"start": 168.24, "end": 168.4, "word": " هو", "probability": 0.775390625}, {"start": 168.4, "end": 168.8, "word": " مقلب", "probability": 0.9029947916666666}, {"start": 168.8, "end": 169.38, "word": " من", "probability": 0.97314453125}, {"start": 169.38, "end": 170.58, "word": " سنش", "probability": 0.72509765625}, {"start": 170.58, "end": 171.28, "word": " square", "probability": 0.83935546875}, {"start": 171.28, "end": 172.2, "word": " X", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 8, "seek": 19085, "start": 172.85, "end": 190.85, "text": "كمان هطلع واحدة تالتة من الاصلية اللى عندنا هذه قبل ما جسمت على جوش square هجسم على سنش square يبقى لو جسمت على سنش square بصير جوش square على سنش square", "tokens": [24793, 7649, 8032, 9566, 1211, 3615, 36764, 24401, 3660, 6055, 6027, 2655, 3660, 9154, 2423, 33546, 1211, 10632, 13672, 7578, 43242, 8315, 29538, 12174, 36150, 19446, 10874, 38251, 2655, 15844, 10874, 2407, 8592, 3732, 8032, 7435, 38251, 15844, 8608, 1863, 8592, 3732, 7251, 3555, 4587, 7578, 45164, 10874, 38251, 2655, 15844, 8608, 1863, 8592, 3732, 4724, 9381, 13546, 10874, 2407, 8592, 3732, 15844, 8608, 1863, 8592, 3732], "avg_logprob": -0.2101332738119013, "compression_ratio": 1.7697841726618706, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 172.85, "end": 173.35, "word": "كمان", "probability": 0.536163330078125}, {"start": 173.35, "end": 173.95, "word": " هطلع", "probability": 0.9136962890625}, {"start": 173.95, "end": 174.73, "word": " واحدة", "probability": 0.7991536458333334}, {"start": 174.73, "end": 175.85, "word": " تالتة", "probability": 0.9609375}, {"start": 175.85, "end": 176.43, "word": " من", "probability": 0.96044921875}, {"start": 176.43, "end": 178.25, "word": " الاصلية", "probability": 0.760009765625}, {"start": 178.25, "end": 178.45, "word": " اللى", "probability": 0.682861328125}, {"start": 178.45, "end": 178.93, "word": " عندنا", "probability": 0.914794921875}, {"start": 178.93, "end": 179.33, "word": " هذه", "probability": 0.36767578125}, {"start": 179.33, "end": 180.09, "word": " قبل", "probability": 0.656005859375}, {"start": 180.09, "end": 180.33, "word": " ما", "probability": 0.7421875}, {"start": 180.33, "end": 181.03, "word": " جسمت", "probability": 0.9430338541666666}, {"start": 181.03, "end": 181.29, "word": " على", "probability": 0.89404296875}, {"start": 181.29, "end": 181.79, "word": " جوش", "probability": 0.7369384765625}, {"start": 181.79, "end": 182.37, "word": " square", "probability": 0.69287109375}, {"start": 182.37, "end": 183.11, "word": " هجسم", "probability": 0.8564453125}, {"start": 183.11, "end": 183.93, "word": " على", "probability": 0.814453125}, {"start": 183.93, "end": 184.59, "word": " سنش", "probability": 0.87451171875}, {"start": 184.59, "end": 185.19, "word": " square", "probability": 0.88134765625}, {"start": 185.19, "end": 185.97, "word": " يبقى", "probability": 0.86376953125}, {"start": 185.97, "end": 186.15, "word": " لو", "probability": 0.8896484375}, {"start": 186.15, "end": 186.75, "word": " جسمت", "probability": 0.98974609375}, {"start": 186.75, "end": 186.97, "word": " على", "probability": 0.8916015625}, {"start": 186.97, "end": 187.39, "word": " سنش", "probability": 0.9871419270833334}, {"start": 187.39, "end": 187.85, "word": " square", "probability": 0.87353515625}, {"start": 187.85, "end": 188.35, "word": " بصير", "probability": 0.9046223958333334}, {"start": 188.35, "end": 188.95, "word": " جوش", "probability": 0.984375}, {"start": 188.95, "end": 189.45, "word": " square", "probability": 0.8740234375}, {"start": 189.45, "end": 189.73, "word": " على", "probability": 0.81005859375}, {"start": 189.73, "end": 190.23, "word": " سنش", "probability": 0.9938151041666666}, {"start": 190.23, "end": 190.85, "word": " square", "probability": 0.90185546875}], "temperature": 1.0}, {"id": 9, "seek": 21652, "start": 191.26, "end": 216.52, "text": "اللي هو cot²x ناقص واحد يساوي واحد على سنش square اللي هو مان اللي يكسش square X بالشكل اللي عندنا هذا يبقى دول ثلاث متطابقات لكن في الحقيقة هي متطابقة واحدة مش تلاتة نقلت انترا بالولدناهم من الاصلي اللي موجود عندنا", "tokens": [6027, 20292, 31439, 26529, 27643, 87, 8717, 995, 4587, 9381, 36764, 24401, 7251, 3794, 995, 45865, 36764, 24401, 15844, 8608, 1863, 8592, 3732, 13672, 1829, 31439, 3714, 7649, 13672, 1829, 7251, 4117, 3794, 8592, 3732, 1783, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 11778, 12610, 38637, 1211, 5718, 104, 44650, 9566, 16758, 4587, 9307, 44381, 8978, 21542, 38436, 28671, 39896, 44650, 9566, 16758, 28671, 36764, 24401, 3660, 37893, 6055, 1211, 9307, 3660, 8717, 4587, 1211, 2655, 16472, 2655, 23557, 20666, 12610, 3215, 8315, 16095, 9154, 2423, 33546, 20292, 13672, 1829, 3714, 29245, 23328, 43242, 8315], "avg_logprob": -0.2896039497734296, "compression_ratio": 1.8195121951219513, "no_speech_prob": 0.0, "words": [{"start": 191.26, "end": 191.58, "word": "اللي", "probability": 0.26861572265625}, {"start": 191.58, "end": 191.66, "word": " هو", "probability": 0.93115234375}, {"start": 191.66, "end": 193.76, "word": " cot²x", "probability": 0.476318359375}, {"start": 193.76, "end": 194.46, "word": " ناقص", "probability": 0.74237060546875}, {"start": 194.46, "end": 194.98, "word": " واحد", "probability": 0.98291015625}, {"start": 194.98, "end": 195.94, "word": " يساوي", "probability": 0.974853515625}, {"start": 195.94, "end": 197.02, "word": " واحد", "probability": 0.88330078125}, {"start": 197.02, "end": 197.26, "word": " على", "probability": 0.76708984375}, {"start": 197.26, "end": 197.76, "word": " سنش", "probability": 0.5960286458333334}, {"start": 197.76, "end": 198.44, "word": " square", "probability": 0.66796875}, {"start": 198.44, "end": 198.98, "word": " اللي", "probability": 0.933349609375}, {"start": 198.98, "end": 199.12, "word": " هو", "probability": 0.8974609375}, {"start": 199.12, "end": 199.6, "word": " مان", "probability": 0.507568359375}, {"start": 199.6, "end": 200.3, "word": " اللي", "probability": 0.6397705078125}, {"start": 200.3, "end": 201.1, "word": " يكسش", "probability": 0.64581298828125}, {"start": 201.1, "end": 202.06, "word": " square", "probability": 0.71337890625}, {"start": 202.06, "end": 202.62, "word": " X", "probability": 0.56298828125}, {"start": 202.62, "end": 203.2, "word": " بالشكل", "probability": 0.9669596354166666}, {"start": 203.2, "end": 203.38, "word": " اللي", "probability": 0.984619140625}, {"start": 203.38, "end": 203.96, "word": " عندنا", "probability": 0.851318359375}, {"start": 203.96, "end": 204.46, "word": " هذا", "probability": 0.86279296875}, {"start": 204.46, "end": 206.16, "word": " يبقى", "probability": 0.9559326171875}, {"start": 206.16, "end": 206.36, "word": " دول", "probability": 0.900634765625}, {"start": 206.36, "end": 206.78, "word": " ثلاث", "probability": 0.945556640625}, {"start": 206.78, "end": 207.94, "word": " متطابقات", "probability": 0.91640625}, {"start": 207.94, "end": 208.34, "word": " لكن", "probability": 0.81103515625}, {"start": 208.34, "end": 208.56, "word": " في", "probability": 0.96044921875}, {"start": 208.56, "end": 209.4, "word": " الحقيقة", "probability": 0.9913736979166666}, {"start": 209.4, "end": 209.88, "word": " هي", "probability": 0.69384765625}, {"start": 209.88, "end": 210.98, "word": " متطابقة", "probability": 0.9580078125}, {"start": 210.98, "end": 211.78, "word": " واحدة", "probability": 0.98583984375}, {"start": 211.78, "end": 211.98, "word": " مش", "probability": 0.8798828125}, {"start": 211.98, "end": 212.6, "word": " تلاتة", "probability": 0.9193115234375}, {"start": 212.6, "end": 213.1, "word": " نقلت", "probability": 0.45648193359375}, {"start": 213.1, "end": 213.42, "word": " انترا", "probability": 0.5193277994791666}, {"start": 213.42, "end": 214.32, "word": " بالولدناهم", "probability": 0.651416015625}, {"start": 214.32, "end": 214.5, "word": " من", "probability": 0.98681640625}, {"start": 214.5, "end": 215.44, "word": " الاصلي", "probability": 0.6842447916666666}, {"start": 215.44, "end": 215.66, "word": " اللي", "probability": 0.860107421875}, {"start": 215.66, "end": 216.06, "word": " موجود", "probability": 0.9794921875}, {"start": 216.06, "end": 216.52, "word": " عندنا", "probability": 0.910888671875}], "temperature": 1.0}, {"id": 10, "seek": 22856, "start": 216.86, "end": 228.56, "text": "نمر اتنين في عندنا كمان اللي هو سنش اتنين X يساوي اتنين سنش ال X في جوش ال X", "tokens": [1863, 29973, 1975, 2655, 1863, 9957, 8978, 43242, 8315, 9122, 2304, 7649, 13672, 1829, 31439, 8608, 1863, 8592, 1975, 2655, 1863, 9957, 1783, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8608, 1863, 8592, 2423, 1783, 8978, 10874, 2407, 8592, 2423, 1783], "avg_logprob": -0.1893168660097344, "compression_ratio": 1.4886363636363635, "no_speech_prob": 0.0, "words": [{"start": 216.86, "end": 217.36, "word": "نمر", "probability": 0.6126708984375}, {"start": 217.36, "end": 217.96, "word": " اتنين", "probability": 0.901611328125}, {"start": 217.96, "end": 218.82, "word": " في", "probability": 0.44775390625}, {"start": 218.82, "end": 219.38, "word": " عندنا", "probability": 0.769287109375}, {"start": 219.38, "end": 220.06, "word": " كمان", "probability": 0.9324544270833334}, {"start": 220.06, "end": 220.4, "word": " اللي", "probability": 0.76708984375}, {"start": 220.4, "end": 220.62, "word": " هو", "probability": 0.9736328125}, {"start": 220.62, "end": 221.68, "word": " سنش", "probability": 0.6473388671875}, {"start": 221.68, "end": 222.8, "word": " اتنين", "probability": 0.98095703125}, {"start": 222.8, "end": 223.2, "word": " X", "probability": 0.346923828125}, {"start": 223.2, "end": 224.14, "word": " يساوي", "probability": 0.93701171875}, {"start": 224.14, "end": 224.98, "word": " اتنين", "probability": 0.969970703125}, {"start": 224.98, "end": 226.0, "word": " سنش", "probability": 0.9752604166666666}, {"start": 226.0, "end": 226.3, "word": " ال", "probability": 0.81689453125}, {"start": 226.3, "end": 226.82, "word": " X", "probability": 0.89794921875}, {"start": 226.82, "end": 227.2, "word": " في", "probability": 0.92431640625}, {"start": 227.2, "end": 227.9, "word": " جوش", "probability": 0.9402669270833334}, {"start": 227.9, "end": 228.18, "word": " ال", "probability": 0.869140625}, {"start": 228.18, "end": 228.56, "word": " X", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 11, "seek": 25143, "start": 229.95, "end": 251.43, "text": "الي اثبات بسيطة جدا عند قيمة السنش وعند قيمة الجوش تضربوا في بعض تضربوا في اتنين بيطلع عندك سنش اتنين اكس اللي يتساوم من اي أس اتنين اكس ناقص اي أس ناقص اتنين اكس على اتنين يعني كل اكس بيجي مكان مجداش", "tokens": [6027, 1829, 1975, 12984, 3555, 9307, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 43242, 12174, 32640, 3660, 21136, 1863, 8592, 4032, 3615, 41260, 12174, 32640, 3660, 25724, 2407, 8592, 6055, 11242, 25513, 14407, 8978, 45030, 11242, 6055, 11242, 25513, 14407, 8978, 1975, 2655, 1863, 9957, 4724, 1829, 9566, 1211, 3615, 43242, 4117, 8608, 1863, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 13672, 1829, 7251, 2655, 3794, 995, 20498, 9154, 1975, 1829, 5551, 3794, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 8717, 995, 4587, 9381, 1975, 1829, 5551, 3794, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 15844, 1975, 2655, 1863, 9957, 37495, 22653, 28242, 1975, 4117, 3794, 4724, 1829, 7435, 1829, 3714, 41361, 3714, 7435, 3215, 33599], "avg_logprob": -0.22873974823560872, "compression_ratio": 2.136904761904762, "no_speech_prob": 0.0, "words": [{"start": 229.95, "end": 230.27, "word": "الي", "probability": 0.488525390625}, {"start": 230.27, "end": 230.61, "word": " اثبات", "probability": 0.771484375}, {"start": 230.61, "end": 231.11, "word": " بسيطة", "probability": 0.95400390625}, {"start": 231.11, "end": 231.45, "word": " جدا", "probability": 0.959228515625}, {"start": 231.45, "end": 232.31, "word": " عند", "probability": 0.74072265625}, {"start": 232.31, "end": 232.85, "word": " قيمة", "probability": 0.96875}, {"start": 232.85, "end": 233.41, "word": " السنش", "probability": 0.7277018229166666}, {"start": 233.41, "end": 233.95, "word": " وعند", "probability": 0.7286783854166666}, {"start": 233.95, "end": 234.43, "word": " قيمة", "probability": 0.9923502604166666}, {"start": 234.43, "end": 235.01, "word": " الجوش", "probability": 0.90576171875}, {"start": 235.01, "end": 235.87, "word": " تضربوا", "probability": 0.568359375}, {"start": 235.87, "end": 235.99, "word": " في", "probability": 0.90380859375}, {"start": 235.99, "end": 236.39, "word": " بعض", "probability": 0.99169921875}, {"start": 236.39, "end": 236.87, "word": " تضربوا", "probability": 0.8182373046875}, {"start": 236.87, "end": 237.01, "word": " في", "probability": 0.8447265625}, {"start": 237.01, "end": 237.53, "word": " اتنين", "probability": 0.9075927734375}, {"start": 237.53, "end": 238.11, "word": " بيطلع", "probability": 0.73780517578125}, {"start": 238.11, "end": 238.53, "word": " عندك", "probability": 0.91943359375}, {"start": 238.53, "end": 239.19, "word": " سنش", "probability": 0.92333984375}, {"start": 239.19, "end": 239.99, "word": " اتنين", "probability": 0.8553466796875}, {"start": 239.99, "end": 240.49, "word": " اكس", "probability": 0.8865559895833334}, {"start": 240.49, "end": 241.15, "word": " اللي", "probability": 0.55712890625}, {"start": 241.15, "end": 241.81, "word": " يتساوم", "probability": 0.72080078125}, {"start": 241.81, "end": 242.11, "word": " من", "probability": 0.447998046875}, {"start": 242.11, "end": 242.93, "word": " اي", "probability": 0.5283203125}, {"start": 242.93, "end": 243.25, "word": " أس", "probability": 0.6070556640625}, {"start": 243.25, "end": 244.03, "word": " اتنين", "probability": 0.986572265625}, {"start": 244.03, "end": 244.79, "word": " اكس", "probability": 0.982421875}, {"start": 244.79, "end": 245.87, "word": " ناقص", "probability": 0.9462890625}, {"start": 245.87, "end": 246.19, "word": " اي", "probability": 0.771484375}, {"start": 246.19, "end": 246.47, "word": " أس", "probability": 0.864013671875}, {"start": 246.47, "end": 247.01, "word": " ناقص", "probability": 0.989501953125}, {"start": 247.01, "end": 247.59, "word": " اتنين", "probability": 0.992431640625}, {"start": 247.59, "end": 247.97, "word": " اكس", "probability": 0.9822591145833334}, {"start": 247.97, "end": 248.23, "word": " على", "probability": 0.80029296875}, {"start": 248.23, "end": 248.69, "word": " اتنين", "probability": 0.9898681640625}, {"start": 248.69, "end": 249.21, "word": " يعني", "probability": 0.92578125}, {"start": 249.21, "end": 249.69, "word": " كل", "probability": 0.9677734375}, {"start": 249.69, "end": 250.09, "word": " اكس", "probability": 0.9519856770833334}, {"start": 250.09, "end": 250.43, "word": " بيجي", "probability": 0.8128662109375}, {"start": 250.43, "end": 250.71, "word": " مكان", "probability": 0.9375}, {"start": 250.71, "end": 251.43, "word": " مجداش", "probability": 0.58099365234375}], "temperature": 1.0}, {"id": 12, "seek": 27672, "start": 261.5, "end": 276.72, "text": "تشبه تماما تبعت الدل المثلثية الو ال sin 2x يسوى 2 sin x cos x نمر تلتة نقاش 2x", "tokens": [2655, 8592, 3555, 3224, 46811, 10943, 995, 6055, 3555, 34268, 32748, 1211, 9673, 12984, 1211, 12984, 10632, 2423, 2407, 2423, 3343, 568, 87, 7251, 3794, 2407, 7578, 568, 3343, 2031, 3792, 2031, 8717, 29973, 6055, 1211, 2655, 3660, 8717, 4587, 33599, 568, 87], "avg_logprob": -0.581676107915965, "compression_ratio": 1.2277227722772277, "no_speech_prob": 0.0, "words": [{"start": 261.5, "end": 262.9, "word": "تشبه", "probability": 0.568817138671875}, {"start": 262.9, "end": 263.7, "word": " تماما", "probability": 0.7061360677083334}, {"start": 263.7, "end": 264.42, "word": " تبعت", "probability": 0.6713053385416666}, {"start": 264.42, "end": 264.82, "word": " الدل", "probability": 0.806884765625}, {"start": 264.82, "end": 265.82, "word": " المثلثية", "probability": 0.8568359375}, {"start": 265.82, "end": 266.02, "word": " الو", "probability": 0.3372802734375}, {"start": 266.02, "end": 266.16, "word": " ال", "probability": 0.327392578125}, {"start": 266.16, "end": 266.46, "word": " sin", "probability": 0.1419677734375}, {"start": 266.46, "end": 267.22, "word": " 2x", "probability": 0.6241455078125}, {"start": 267.22, "end": 267.76, "word": " يسوى", "probability": 0.563629150390625}, {"start": 267.76, "end": 268.04, "word": " 2", "probability": 0.84765625}, {"start": 268.04, "end": 268.52, "word": " sin", "probability": 0.52587890625}, {"start": 268.52, "end": 269.02, "word": " x", "probability": 0.5830078125}, {"start": 269.02, "end": 269.38, "word": " cos", "probability": 0.603515625}, {"start": 269.38, "end": 270.72, "word": " x", "probability": 0.89501953125}, {"start": 270.72, "end": 271.92, "word": " نمر", "probability": 0.3798828125}, {"start": 271.92, "end": 272.98, "word": " تلتة", "probability": 0.729736328125}, {"start": 272.98, "end": 275.1, "word": " نقاش", "probability": 0.3442789713541667}, {"start": 275.1, "end": 276.72, "word": " 2x", "probability": 0.894775390625}], "temperature": 1.0}, {"id": 13, "seek": 30320, "start": 277.59, "end": 303.21, "text": "جوش اتنين اكس اللي هي عبارة عن جوش square X زائد سنش square X لأ بزايد بناقص تبع اتنين كوصين اتنين X كوصين اتنين X تبع الدالة المثلثية كانت كوصين اتنين X يساوي كوصين تربيع X ناقص تربيع X هذا بمين؟ بالزايد", "tokens": [7435, 2407, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 10874, 2407, 8592, 3732, 1783, 30767, 16373, 3215, 8608, 1863, 8592, 3732, 1783, 5296, 10721, 4724, 11622, 995, 25708, 44945, 995, 4587, 9381, 6055, 3555, 3615, 1975, 2655, 1863, 9957, 9122, 2407, 9381, 9957, 1975, 2655, 1863, 9957, 1783, 9122, 2407, 9381, 9957, 1975, 2655, 1863, 9957, 1783, 6055, 3555, 3615, 32748, 6027, 3660, 9673, 12984, 1211, 12984, 10632, 25961, 2655, 9122, 2407, 9381, 9957, 1975, 2655, 1863, 9957, 1783, 7251, 3794, 995, 45865, 9122, 2407, 9381, 9957, 6055, 2288, 21292, 3615, 1783, 8717, 995, 4587, 9381, 6055, 2288, 21292, 3615, 1783, 23758, 4724, 2304, 9957, 22807, 20666, 11622, 995, 25708], "avg_logprob": -0.2559895699222883, "compression_ratio": 2.0, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 277.59, "end": 278.13, "word": "جوش", "probability": 0.6384073893229166}, {"start": 278.13, "end": 278.71, "word": " اتنين", "probability": 0.85357666015625}, {"start": 278.71, "end": 279.13, "word": " اكس", "probability": 0.771240234375}, {"start": 279.13, "end": 279.29, "word": " اللي", "probability": 0.47296142578125}, {"start": 279.29, "end": 279.53, "word": " هي", "probability": 0.556640625}, {"start": 279.53, "end": 280.11, "word": " عبارة", "probability": 0.99072265625}, {"start": 280.11, "end": 280.49, "word": " عن", "probability": 0.99755859375}, {"start": 280.49, "end": 281.03, "word": " جوش", "probability": 0.9632161458333334}, {"start": 281.03, "end": 281.59, "word": " square", "probability": 0.6513671875}, {"start": 281.59, "end": 282.41, "word": " X", "probability": 0.7001953125}, {"start": 282.41, "end": 283.63, "word": " زائد", "probability": 0.8483072916666666}, {"start": 283.63, "end": 284.39, "word": " سنش", "probability": 0.9248046875}, {"start": 284.39, "end": 285.07, "word": " square", "probability": 0.7666015625}, {"start": 285.07, "end": 285.99, "word": " X", "probability": 0.98974609375}, {"start": 285.99, "end": 288.03, "word": " لأ", "probability": 0.5023193359375}, {"start": 288.03, "end": 288.65, "word": " بزايد", "probability": 0.7490234375}, {"start": 288.65, "end": 289.41, "word": " بناقص", "probability": 0.73919677734375}, {"start": 289.41, "end": 289.71, "word": " تبع", "probability": 0.73193359375}, {"start": 289.71, "end": 290.31, "word": " اتنين", "probability": 0.753662109375}, {"start": 290.31, "end": 291.35, "word": " كوصين", "probability": 0.6287841796875}, {"start": 291.35, "end": 291.85, "word": " اتنين", "probability": 0.9886474609375}, {"start": 291.85, "end": 292.13, "word": " X", "probability": 0.7783203125}, {"start": 292.13, "end": 292.75, "word": " كوصين", "probability": 0.9285888671875}, {"start": 292.75, "end": 293.31, "word": " اتنين", "probability": 0.9910888671875}, {"start": 293.31, "end": 293.61, "word": " X", "probability": 0.96044921875}, {"start": 293.61, "end": 293.91, "word": " تبع", "probability": 0.7791341145833334}, {"start": 293.91, "end": 294.41, "word": " الدالة", "probability": 0.6595052083333334}, {"start": 294.41, "end": 295.43, "word": " المثلثية", "probability": 0.90830078125}, {"start": 295.43, "end": 296.29, "word": " كانت", "probability": 0.928955078125}, {"start": 296.29, "end": 296.67, "word": " كوصين", "probability": 0.9737548828125}, {"start": 296.67, "end": 297.03, "word": " اتنين", "probability": 0.9896240234375}, {"start": 297.03, "end": 297.21, "word": " X", "probability": 0.9873046875}, {"start": 297.21, "end": 297.61, "word": " يساوي", "probability": 0.8201904296875}, {"start": 297.61, "end": 298.13, "word": " كوصين", "probability": 0.9578857421875}, {"start": 298.13, "end": 298.53, "word": " تربيع", "probability": 0.7474365234375}, {"start": 298.53, "end": 298.81, "word": " X", "probability": 0.98828125}, {"start": 298.81, "end": 299.59, "word": " ناقص", "probability": 0.91357421875}, {"start": 299.59, "end": 300.61, "word": " تربيع", "probability": 0.8033447265625}, {"start": 300.61, "end": 300.95, "word": " X", "probability": 0.73681640625}, {"start": 300.95, "end": 301.23, "word": " هذا", "probability": 0.316162109375}, {"start": 301.23, "end": 302.23, "word": " بمين؟", "probability": 0.7645263671875}, {"start": 302.23, "end": 303.21, "word": " بالزايد", "probability": 0.7552490234375}], "temperature": 1.0}, {"id": 14, "seek": 31898, "start": 304.32, "end": 318.98, "text": "في كمان صغتين أخرين لجوش اتنين اكس، شو الصغتين الأتنين هدول؟ يساوي، هذه الصيغة الأولى مكتوبة بدلالة السنش والجوش، أنا مرة بدي اكتبها بدلالة الجوش", "tokens": [41185, 9122, 2304, 7649, 20328, 17082, 2655, 9957, 5551, 34740, 9957, 5296, 7435, 2407, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 12399, 13412, 2407, 31767, 17082, 2655, 9957, 16247, 2655, 1863, 9957, 8032, 3215, 12610, 22807, 7251, 3794, 995, 45865, 12399, 29538, 31767, 1829, 17082, 3660, 16247, 12610, 7578, 3714, 4117, 2655, 37746, 3660, 47525, 1211, 6027, 3660, 2423, 3794, 1863, 8592, 16070, 7435, 2407, 8592, 12399, 41850, 3714, 25720, 4724, 16254, 1975, 4117, 2655, 3555, 11296, 47525, 1211, 6027, 3660, 25724, 2407, 8592], "avg_logprob": -0.22456395851318225, "compression_ratio": 1.7972972972972974, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 304.32, "end": 304.7, "word": "في", "probability": 0.46923828125}, {"start": 304.7, "end": 305.26, "word": " كمان", "probability": 0.92724609375}, {"start": 305.26, "end": 306.12, "word": " صغتين", "probability": 0.8193359375}, {"start": 306.12, "end": 307.28, "word": " أخرين", "probability": 0.8860677083333334}, {"start": 307.28, "end": 308.34, "word": " لجوش", "probability": 0.869873046875}, {"start": 308.34, "end": 309.0, "word": " اتنين", "probability": 0.784149169921875}, {"start": 309.0, "end": 309.64, "word": " اكس،", "probability": 0.63983154296875}, {"start": 309.64, "end": 309.84, "word": " شو", "probability": 0.5933837890625}, {"start": 309.84, "end": 310.46, "word": " الصغتين", "probability": 0.905029296875}, {"start": 310.46, "end": 310.94, "word": " الأتنين", "probability": 0.82958984375}, {"start": 310.94, "end": 311.34, "word": " هدول؟", "probability": 0.73468017578125}, {"start": 311.34, "end": 312.08, "word": " يساوي،", "probability": 0.83310546875}, {"start": 312.08, "end": 313.46, "word": " هذه", "probability": 0.66845703125}, {"start": 313.46, "end": 314.02, "word": " الصيغة", "probability": 0.937744140625}, {"start": 314.02, "end": 314.44, "word": " الأولى", "probability": 0.9737955729166666}, {"start": 314.44, "end": 314.96, "word": " مكتوبة", "probability": 0.97734375}, {"start": 314.96, "end": 315.48, "word": " بدلالة", "probability": 0.9466552734375}, {"start": 315.48, "end": 316.0, "word": " السنش", "probability": 0.6815567016601562}, {"start": 316.0, "end": 316.72, "word": " والجوش،", "probability": 0.91904296875}, {"start": 316.72, "end": 316.96, "word": " أنا", "probability": 0.64697265625}, {"start": 316.96, "end": 317.28, "word": " مرة", "probability": 0.953125}, {"start": 317.28, "end": 317.52, "word": " بدي", "probability": 0.714111328125}, {"start": 317.52, "end": 317.94, "word": " اكتبها", "probability": 0.87119140625}, {"start": 317.94, "end": 318.46, "word": " بدلالة", "probability": 0.983154296875}, {"start": 318.46, "end": 318.98, "word": " الجوش", "probability": 0.9781901041666666}], "temperature": 1.0}, {"id": 15, "seek": 33664, "start": 319.32, "end": 336.64, "text": "و مرة ثانية بدي اكتبها بدل ال 8 سنش يبقى بدي ادى للأولى اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده و اده", "tokens": [2407, 3714, 25720, 38637, 7649, 10632, 4724, 16254, 1975, 4117, 2655, 3555, 11296, 47525, 1211, 2423, 1649, 8608, 1863, 8592, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 3215, 7578, 24976, 10721, 12610, 7578, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224, 4032, 1975, 3215, 3224], "avg_logprob": -0.13541667302449545, "compression_ratio": 6.449438202247191, "no_speech_prob": 0.0, "words": [{"start": 319.32, "end": 319.5, "word": "و", "probability": 0.400390625}, {"start": 319.5, "end": 319.88, "word": " مرة", "probability": 0.812744140625}, {"start": 319.88, "end": 320.28, "word": " ثانية", "probability": 0.8898111979166666}, {"start": 320.28, "end": 320.5, "word": " بدي", "probability": 0.34930419921875}, {"start": 320.5, "end": 320.9, "word": " اكتبها", "probability": 0.9103515625}, {"start": 320.9, "end": 321.12, "word": " بدل", "probability": 0.857177734375}, {"start": 321.12, "end": 321.32, "word": " ال", "probability": 0.427734375}, {"start": 321.32, "end": 321.82, "word": " 8", "probability": 0.37744140625}, {"start": 321.82, "end": 322.82, "word": " سنش", "probability": 0.6064860026041666}, {"start": 322.82, "end": 323.58, "word": " يبقى", "probability": 0.764404296875}, {"start": 323.58, "end": 323.92, "word": " بدي", "probability": 0.68212890625}, {"start": 323.92, "end": 324.38, "word": " ادى", "probability": 0.5041910807291666}, {"start": 324.38, "end": 325.24, "word": " للأولى", "probability": 0.824462890625}, {"start": 325.24, "end": 325.78, "word": " اده", "probability": 0.5216064453125}, {"start": 325.78, "end": 326.04, "word": " و", "probability": 0.179931640625}, {"start": 326.04, "end": 326.22, "word": " اده", "probability": 0.8151041666666666}, {"start": 326.22, "end": 326.22, "word": " و", "probability": 0.673828125}, {"start": 326.22, "end": 326.54, "word": " اده", "probability": 0.8815104166666666}, {"start": 326.54, "end": 326.7, "word": " و", "probability": 0.49658203125}, {"start": 326.7, "end": 327.16, "word": " اده", "probability": 0.9073893229166666}, {"start": 327.16, "end": 327.16, "word": " و", "probability": 0.61181640625}, {"start": 327.16, "end": 327.32, "word": " اده", "probability": 0.9306640625}, {"start": 327.32, "end": 327.32, "word": " و", "probability": 0.73095703125}, {"start": 327.32, "end": 327.54, "word": " اده", "probability": 0.9435221354166666}, {"start": 327.54, "end": 327.68, "word": " و", "probability": 0.8017578125}, {"start": 327.68, "end": 327.68, "word": " اده", "probability": 0.9493815104166666}, {"start": 327.68, "end": 327.8, "word": " و", "probability": 0.84033203125}, {"start": 327.8, "end": 327.8, "word": " اده", "probability": 0.95361328125}, {"start": 327.8, "end": 327.8, "word": " و", "probability": 0.86572265625}, {"start": 327.8, "end": 327.8, "word": " اده", "probability": 0.95751953125}, {"start": 327.8, "end": 327.86, "word": " و", "probability": 0.8828125}, {"start": 327.86, "end": 327.86, "word": " اده", "probability": 0.9609375}, {"start": 327.86, "end": 327.9, "word": " و", "probability": 0.89306640625}, {"start": 327.9, "end": 327.9, "word": " اده", "probability": 0.962890625}, {"start": 327.9, "end": 327.92, "word": " و", "probability": 0.8974609375}, {"start": 327.92, "end": 327.92, "word": " اده", "probability": 0.9645182291666666}, {"start": 327.92, "end": 327.92, "word": " و", "probability": 0.89990234375}, {"start": 327.92, "end": 327.92, "word": " اده", "probability": 0.9658203125}, {"start": 327.92, "end": 327.92, "word": " و", "probability": 0.90478515625}, {"start": 327.92, "end": 327.92, "word": " اده", "probability": 0.9669596354166666}, {"start": 327.92, "end": 327.92, "word": " و", "probability": 0.904296875}, {"start": 327.92, "end": 327.92, "word": " اده", "probability": 0.9669596354166666}, {"start": 327.92, "end": 328.24, "word": " و", "probability": 0.9052734375}, {"start": 328.24, "end": 328.24, "word": " اده", "probability": 0.96728515625}, {"start": 328.24, "end": 328.24, "word": " و", "probability": 0.91064453125}, {"start": 328.24, "end": 328.24, "word": " اده", "probability": 0.9674479166666666}, {"start": 328.24, "end": 328.26, "word": " و", "probability": 0.91455078125}, {"start": 328.26, "end": 328.28, "word": " اده", "probability": 0.9674479166666666}, {"start": 328.28, "end": 328.28, "word": " و", "probability": 0.92041015625}, {"start": 328.28, "end": 328.28, "word": " اده", "probability": 0.966796875}, {"start": 328.28, "end": 328.28, "word": " و", "probability": 0.9267578125}, {"start": 328.28, "end": 328.36, "word": " اده", "probability": 0.9654947916666666}, {"start": 328.36, "end": 328.36, "word": " و", "probability": 0.93310546875}, {"start": 328.36, "end": 328.4, "word": " اده", "probability": 0.9666341145833334}, {"start": 328.4, "end": 328.4, "word": " و", "probability": 0.939453125}, {"start": 328.4, "end": 328.4, "word": " اده", "probability": 0.9659830729166666}, {"start": 328.4, "end": 328.4, "word": " و", "probability": 0.9462890625}, {"start": 328.4, "end": 328.4, "word": " اده", "probability": 0.96484375}, {"start": 328.4, "end": 329.52, "word": " و", "probability": 0.95068359375}, {"start": 329.52, "end": 329.54, "word": " اده", "probability": 0.9645182291666666}, {"start": 329.54, "end": 329.54, "word": " و", "probability": 0.9541015625}, {"start": 329.54, "end": 329.54, "word": " اده", "probability": 0.9630533854166666}, {"start": 329.54, "end": 329.54, "word": " و", "probability": 0.95947265625}, {"start": 329.54, "end": 329.54, "word": " اده", "probability": 0.96337890625}, {"start": 329.54, "end": 329.54, "word": " و", "probability": 0.96240234375}, {"start": 329.54, "end": 329.6, "word": " اده", "probability": 0.96240234375}, {"start": 329.6, "end": 329.62, "word": " و", "probability": 0.96484375}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.9627278645833334}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.96728515625}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.9627278645833334}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.96923828125}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.9627278645833334}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.9697265625}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.96337890625}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.9716796875}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.9620768229166666}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.97314453125}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.96240234375}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.97314453125}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.9641927083333334}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.97509765625}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.96435546875}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.97509765625}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.9641927083333334}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.97509765625}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.9641927083333334}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.97607421875}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.9640299479166666}, {"start": 329.62, "end": 329.62, "word": " و", "probability": 0.9765625}, {"start": 329.62, "end": 329.62, "word": " اده", "probability": 0.9646809895833334}, {"start": 329.62, "end": 329.92, "word": " و", "probability": 0.97705078125}, {"start": 329.92, "end": 330.26, "word": " اده", "probability": 0.9638671875}, {"start": 330.26, "end": 330.48, "word": " و", "probability": 0.97705078125}, {"start": 330.48, "end": 330.72, "word": " اده", "probability": 0.9651692708333334}, {"start": 330.72, "end": 330.96, "word": " و", "probability": 0.9775390625}, {"start": 330.96, "end": 331.36, "word": " اده", "probability": 0.9645182291666666}, {"start": 331.36, "end": 333.12, "word": " و", "probability": 0.9775390625}, {"start": 333.12, "end": 333.56, "word": " اده", "probability": 0.96533203125}, {"start": 333.56, "end": 333.92, "word": " و", "probability": 0.97802734375}, {"start": 333.92, "end": 334.28, "word": " اده", "probability": 0.9650065104166666}, {"start": 334.28, "end": 334.52, "word": " و", "probability": 0.978515625}, {"start": 334.52, "end": 334.88, "word": " اده", "probability": 0.9661458333333334}, {"start": 334.88, "end": 335.68, "word": " و", "probability": 0.97900390625}, {"start": 335.68, "end": 336.12, "word": " اده", "probability": 0.9661458333333334}, {"start": 336.12, "end": 336.16, "word": " و", "probability": 0.97900390625}, {"start": 336.16, "end": 336.56, "word": " اده", "probability": 0.96533203125}, {"start": 336.56, "end": 336.56, "word": " و", "probability": 0.978515625}, {"start": 336.56, "end": 336.64, "word": " اده", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 16, "seek": 35989, "start": 336.89, "end": 359.89, "text": "يبقى من هنا من الأولى sin²x يساوي cos²x ناقص واحد إذا لو شيلت sin² و حطيت بذلك cos² ناقص واحد بصير اتنين sin² ناقص واحد يبقى هذه اتنين cos²", "tokens": [1829, 3555, 4587, 7578, 9154, 34105, 9154, 16247, 12610, 7578, 3343, 27643, 87, 7251, 3794, 995, 45865, 3792, 27643, 87, 8717, 995, 4587, 9381, 36764, 24401, 11933, 15730, 45164, 13412, 26895, 2655, 3343, 27643, 4032, 11331, 9566, 36081, 4724, 8848, 23275, 3792, 27643, 8717, 995, 4587, 9381, 36764, 24401, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 3343, 27643, 8717, 995, 4587, 9381, 36764, 24401, 7251, 3555, 4587, 7578, 29538, 1975, 2655, 1863, 9957, 3792, 27643], "avg_logprob": -0.2181332215274635, "compression_ratio": 1.6312056737588652, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 336.89, "end": 338.35, "word": "يبقى", "probability": 0.79998779296875}, {"start": 338.35, "end": 338.51, "word": " من", "probability": 0.80029296875}, {"start": 338.51, "end": 338.83, "word": " هنا", "probability": 0.978515625}, {"start": 338.83, "end": 339.07, "word": " من", "probability": 0.65771484375}, {"start": 339.07, "end": 339.93, "word": " الأولى", "probability": 0.9366861979166666}, {"start": 339.93, "end": 341.71, "word": " sin²x", "probability": 0.4752604166666667}, {"start": 341.71, "end": 342.85, "word": " يساوي", "probability": 0.72503662109375}, {"start": 342.85, "end": 344.35, "word": " cos²x", "probability": 0.7601725260416666}, {"start": 344.35, "end": 345.15, "word": " ناقص", "probability": 0.8369140625}, {"start": 345.15, "end": 345.77, "word": " واحد", "probability": 0.9638671875}, {"start": 345.77, "end": 346.35, "word": " إذا", "probability": 0.732177734375}, {"start": 346.35, "end": 346.63, "word": " لو", "probability": 0.97314453125}, {"start": 346.63, "end": 347.15, "word": " شيلت", "probability": 0.8865559895833334}, {"start": 347.15, "end": 347.91, "word": " sin²", "probability": 0.9521484375}, {"start": 347.91, "end": 348.07, "word": " و", "probability": 0.394775390625}, {"start": 348.07, "end": 348.55, "word": " حطيت", "probability": 0.7958984375}, {"start": 348.55, "end": 348.85, "word": " بذلك", "probability": 0.4862467447916667}, {"start": 348.85, "end": 349.71, "word": " cos²", "probability": 0.853759765625}, {"start": 349.71, "end": 350.19, "word": " ناقص", "probability": 0.86126708984375}, {"start": 350.19, "end": 350.49, "word": " واحد", "probability": 0.99169921875}, {"start": 350.49, "end": 351.21, "word": " بصير", "probability": 0.8302408854166666}, {"start": 351.21, "end": 352.39, "word": " اتنين", "probability": 0.910888671875}, {"start": 352.39, "end": 353.43, "word": " sin²", "probability": 0.9423828125}, {"start": 353.43, "end": 354.61, "word": " ناقص", "probability": 0.9617919921875}, {"start": 354.61, "end": 355.15, "word": " واحد", "probability": 0.99169921875}, {"start": 355.15, "end": 356.03, "word": " يبقى", "probability": 0.9527587890625}, {"start": 356.03, "end": 356.55, "word": " هذه", "probability": 0.43115234375}, {"start": 356.55, "end": 357.57, "word": " اتنين", "probability": 0.9769287109375}, {"start": 357.57, "end": 359.89, "word": " cos²", "probability": 0.715576171875}], "temperature": 1.0}, {"id": 17, "seek": 37059, "start": 367.55, "end": 370.59, "text": "from one من الأول", "tokens": [69, 4397, 472, 9154, 16247, 12610], "avg_logprob": -0.9386161054883685, "compression_ratio": 0.7272727272727273, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 367.55, "end": 368.85, "word": "from", "probability": 0.15987396240234375}, {"start": 368.85, "end": 369.47, "word": " one", "probability": 0.8330078125}, {"start": 369.47, "end": 370.15, "word": " من", "probability": 0.65087890625}, {"start": 370.15, "end": 370.59, "word": " الأول", "probability": 0.875}], "temperature": 1.0}, {"id": 18, "seek": 39642, "start": 372.04, "end": 396.42, "text": "طيب هذا الصيغة التانية بدالي للصيغة التالتة بدل ما كتبتها بدلالة الجوش بدي اكتبها بدلالة two cinch اذا الجوش square هذه ليه تساوي cinch square زائد واحد عندك cinch square و عندك cinch square يبقى اتنين cinch square زائد واحد", "tokens": [9566, 1829, 3555, 23758, 31767, 1829, 17082, 3660, 16712, 7649, 10632, 47525, 6027, 1829, 24976, 9381, 1829, 17082, 3660, 16712, 6027, 2655, 3660, 47525, 1211, 19446, 9122, 2655, 3555, 2655, 11296, 4724, 3215, 1211, 6027, 3660, 25724, 2407, 8592, 4724, 16254, 1975, 4117, 2655, 3555, 11296, 4724, 3215, 1211, 6027, 3660, 732, 6539, 339, 1975, 15730, 25724, 2407, 8592, 3732, 29538, 32239, 3224, 6055, 3794, 995, 45865, 6539, 339, 3732, 30767, 16373, 3215, 36764, 24401, 43242, 4117, 6539, 339, 3732, 4032, 43242, 4117, 6539, 339, 3732, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 6539, 339, 3732, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.252275472705804, "compression_ratio": 2.0406976744186047, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 372.04, "end": 372.52, "word": "طيب", "probability": 0.6877848307291666}, {"start": 372.52, "end": 373.28, "word": " هذا", "probability": 0.37548828125}, {"start": 373.28, "end": 374.04, "word": " الصيغة", "probability": 0.85980224609375}, {"start": 374.04, "end": 375.18, "word": " التانية", "probability": 0.7823079427083334}, {"start": 375.18, "end": 376.04, "word": " بدالي", "probability": 0.5073649088541666}, {"start": 376.04, "end": 376.68, "word": " للصيغة", "probability": 0.92255859375}, {"start": 376.68, "end": 377.62, "word": " التالتة", "probability": 0.93359375}, {"start": 377.62, "end": 378.42, "word": " بدل", "probability": 0.965576171875}, {"start": 378.42, "end": 378.82, "word": " ما", "probability": 0.904296875}, {"start": 378.82, "end": 379.54, "word": " كتبتها", "probability": 0.97568359375}, {"start": 379.54, "end": 380.2, "word": " بدلالة", "probability": 0.735986328125}, {"start": 380.2, "end": 380.64, "word": " الجوش", "probability": 0.71630859375}, {"start": 380.64, "end": 380.92, "word": " بدي", "probability": 0.6600341796875}, {"start": 380.92, "end": 381.38, "word": " اكتبها", "probability": 0.93115234375}, {"start": 381.38, "end": 381.96, "word": " بدلالة", "probability": 0.8541015625}, {"start": 381.96, "end": 382.3, "word": " two", "probability": 0.0577392578125}, {"start": 382.3, "end": 383.36, "word": " cinch", "probability": 0.4322509765625}, {"start": 383.36, "end": 384.04, "word": " اذا", "probability": 0.705078125}, {"start": 384.04, "end": 384.58, "word": " الجوش", "probability": 0.8455403645833334}, {"start": 384.58, "end": 385.18, "word": " square", "probability": 0.681640625}, {"start": 385.18, "end": 385.86, "word": " هذه", "probability": 0.61962890625}, {"start": 385.86, "end": 386.52, "word": " ليه", "probability": 0.71923828125}, {"start": 386.52, "end": 387.38, "word": " تساوي", "probability": 0.963623046875}, {"start": 387.38, "end": 388.28, "word": " cinch", "probability": 0.967041015625}, {"start": 388.28, "end": 389.14, "word": " square", "probability": 0.693359375}, {"start": 389.14, "end": 389.9, "word": " زائد", "probability": 0.8499348958333334}, {"start": 389.9, "end": 390.5, "word": " واحد", "probability": 0.97802734375}, {"start": 390.5, "end": 391.46, "word": " عندك", "probability": 0.9853515625}, {"start": 391.46, "end": 391.82, "word": " cinch", "probability": 0.973876953125}, {"start": 391.82, "end": 392.22, "word": " square", "probability": 0.857421875}, {"start": 392.22, "end": 392.36, "word": " و", "probability": 0.84765625}, {"start": 392.36, "end": 392.7, "word": " عندك", "probability": 0.837158203125}, {"start": 392.7, "end": 393.0, "word": " cinch", "probability": 0.98046875}, {"start": 393.0, "end": 393.32, "word": " square", "probability": 0.869140625}, {"start": 393.32, "end": 393.72, "word": " يبقى", "probability": 0.9351806640625}, {"start": 393.72, "end": 394.34, "word": " اتنين", "probability": 0.8284912109375}, {"start": 394.34, "end": 394.88, "word": " cinch", "probability": 0.971435546875}, {"start": 394.88, "end": 395.54, "word": " square", "probability": 0.84326171875}, {"start": 395.54, "end": 396.08, "word": " زائد", "probability": 0.888671875}, {"start": 396.08, "end": 396.42, "word": " واحد", "probability": 0.990234375}], "temperature": 1.0}, {"id": 19, "seek": 42591, "start": 396.69, "end": 425.91, "text": "يبقى هذه اتنين sinh square x زائد واحد وهذا كمان from one زي ما هى اذا اصبح عندى جوش اتنين اكس لها تلات صيغ زي ما كوصين اتنين اكس لها تلات صيغ تماما مع الفرق في الاشارات طب بدى اروح للمتطابق الرابعة الرابعة بدى اطلعها من التلتة", "tokens": [1829, 3555, 4587, 7578, 29538, 1975, 2655, 1863, 9957, 3343, 71, 3732, 2031, 30767, 16373, 3215, 36764, 24401, 37037, 15730, 9122, 2304, 7649, 490, 472, 30767, 1829, 19446, 8032, 7578, 1975, 15730, 1975, 9381, 49628, 43242, 7578, 10874, 2407, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 5296, 11296, 6055, 1211, 9307, 20328, 1829, 17082, 30767, 1829, 19446, 9122, 2407, 9381, 9957, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 5296, 11296, 6055, 1211, 9307, 20328, 1829, 17082, 46811, 10943, 995, 20449, 27188, 2288, 4587, 8978, 2423, 33599, 9640, 9307, 23032, 3555, 47525, 7578, 1975, 32887, 5016, 5296, 19528, 2655, 9566, 16758, 4587, 34892, 16758, 27884, 34892, 16758, 27884, 47525, 7578, 1975, 9566, 1211, 3615, 11296, 9154, 16712, 1211, 2655, 3660], "avg_logprob": -0.2076446221879691, "compression_ratio": 1.813953488372093, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 396.69, "end": 397.41, "word": "يبقى", "probability": 0.8553466796875}, {"start": 397.41, "end": 397.87, "word": " هذه", "probability": 0.65576171875}, {"start": 397.87, "end": 398.73, "word": " اتنين", "probability": 0.76727294921875}, {"start": 398.73, "end": 399.69, "word": " sinh", "probability": 0.4237060546875}, {"start": 399.69, "end": 400.43, "word": " square", "probability": 0.365234375}, {"start": 400.43, "end": 401.07, "word": " x", "probability": 0.66064453125}, {"start": 401.07, "end": 402.01, "word": " زائد", "probability": 0.744384765625}, {"start": 402.01, "end": 402.45, "word": " واحد", "probability": 0.971923828125}, {"start": 402.45, "end": 402.95, "word": " وهذا", "probability": 0.795166015625}, {"start": 402.95, "end": 403.45, "word": " كمان", "probability": 0.7657063802083334}, {"start": 403.45, "end": 404.07, "word": " from", "probability": 0.880859375}, {"start": 404.07, "end": 405.07, "word": " one", "probability": 0.923828125}, {"start": 405.07, "end": 405.69, "word": " زي", "probability": 0.8828125}, {"start": 405.69, "end": 405.87, "word": " ما", "probability": 0.892578125}, {"start": 405.87, "end": 406.25, "word": " هى", "probability": 0.48455810546875}, {"start": 406.25, "end": 407.27, "word": " اذا", "probability": 0.8427734375}, {"start": 407.27, "end": 407.91, "word": " اصبح", "probability": 0.8644205729166666}, {"start": 407.91, "end": 408.33, "word": " عندى", "probability": 0.744873046875}, {"start": 408.33, "end": 408.63, "word": " جوش", "probability": 0.8826497395833334}, {"start": 408.63, "end": 409.05, "word": " اتنين", "probability": 0.972900390625}, {"start": 409.05, "end": 409.41, "word": " اكس", "probability": 0.783447265625}, {"start": 409.41, "end": 409.71, "word": " لها", "probability": 0.90576171875}, {"start": 409.71, "end": 410.33, "word": " تلات", "probability": 0.89404296875}, {"start": 410.33, "end": 411.01, "word": " صيغ", "probability": 0.81201171875}, {"start": 411.01, "end": 411.77, "word": " زي", "probability": 0.869384765625}, {"start": 411.77, "end": 411.95, "word": " ما", "probability": 0.91845703125}, {"start": 411.95, "end": 412.55, "word": " كوصين", "probability": 0.6600341796875}, {"start": 412.55, "end": 413.11, "word": " اتنين", "probability": 0.975341796875}, {"start": 413.11, "end": 413.51, "word": " اكس", "probability": 0.9814453125}, {"start": 413.51, "end": 413.81, "word": " لها", "probability": 0.988037109375}, {"start": 413.81, "end": 414.55, "word": " تلات", "probability": 0.9817708333333334}, {"start": 414.55, "end": 415.27, "word": " صيغ", "probability": 0.99560546875}, {"start": 415.27, "end": 416.05, "word": " تماما", "probability": 0.99169921875}, {"start": 416.05, "end": 416.69, "word": " مع", "probability": 0.89697265625}, {"start": 416.69, "end": 417.23, "word": " الفرق", "probability": 0.9744466145833334}, {"start": 417.23, "end": 417.45, "word": " في", "probability": 0.8974609375}, {"start": 417.45, "end": 419.07, "word": " الاشارات", "probability": 0.7406005859375}, {"start": 419.07, "end": 419.85, "word": " طب", "probability": 0.78857421875}, {"start": 419.85, "end": 420.15, "word": " بدى", "probability": 0.728515625}, {"start": 420.15, "end": 420.65, "word": " اروح", "probability": 0.8971354166666666}, {"start": 420.65, "end": 422.31, "word": " للمتطابق", "probability": 0.9698079427083334}, {"start": 422.31, "end": 423.19, "word": " الرابعة", "probability": 0.8245442708333334}, {"start": 423.19, "end": 424.41, "word": " الرابعة", "probability": 0.9226888020833334}, {"start": 424.41, "end": 424.57, "word": " بدى", "probability": 0.5098876953125}, {"start": 424.57, "end": 425.13, "word": " اطلعها", "probability": 0.892578125}, {"start": 425.13, "end": 425.29, "word": " من", "probability": 0.99462890625}, {"start": 425.29, "end": 425.91, "word": " التلتة", "probability": 0.951904296875}], "temperature": 1.0}, {"id": 20, "seek": 45076, "start": 426.92, "end": 450.76, "text": "الرابعة نطلع من التالتة كيف؟ بدها جيب جوش square X بدلالة جوش 2X بنقول بسيطة انجل الواحد على الشجة التانية و اجسم على مين؟ بتحصل على مين؟ على جوش square X بده يساوي", "tokens": [6027, 2288, 16758, 27884, 8717, 9566, 1211, 3615, 9154, 16712, 6027, 2655, 3660, 9122, 33911, 22807, 47525, 11296, 10874, 1829, 3555, 10874, 2407, 8592, 3732, 1783, 47525, 1211, 6027, 3660, 10874, 2407, 8592, 568, 55, 44945, 39648, 4724, 3794, 1829, 9566, 3660, 16472, 7435, 1211, 2423, 14407, 24401, 15844, 25124, 7435, 3660, 16712, 7649, 10632, 4032, 1975, 7435, 38251, 15844, 3714, 9957, 22807, 39894, 5016, 36520, 15844, 3714, 9957, 22807, 15844, 10874, 2407, 8592, 3732, 1783, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.282756034150181, "compression_ratio": 1.6867469879518073, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 426.92, "end": 427.76, "word": "الرابعة", "probability": 0.606170654296875}, {"start": 427.76, "end": 428.3, "word": " نطلع", "probability": 0.6114501953125}, {"start": 428.3, "end": 428.48, "word": " من", "probability": 0.83984375}, {"start": 428.48, "end": 428.9, "word": " التالتة", "probability": 0.8270263671875}, {"start": 428.9, "end": 429.84, "word": " كيف؟", "probability": 0.7381184895833334}, {"start": 429.84, "end": 430.24, "word": " بدها", "probability": 0.45513916015625}, {"start": 430.24, "end": 430.5, "word": " جيب", "probability": 0.6708984375}, {"start": 430.5, "end": 435.98, "word": " جوش", "probability": 0.7833658854166666}, {"start": 435.98, "end": 436.6, "word": " square", "probability": 0.5859375}, {"start": 436.6, "end": 437.18, "word": " X", "probability": 0.56884765625}, {"start": 437.18, "end": 438.0, "word": " بدلالة", "probability": 0.90380859375}, {"start": 438.0, "end": 438.34, "word": " جوش", "probability": 0.9715169270833334}, {"start": 438.34, "end": 439.12, "word": " 2X", "probability": 0.734375}, {"start": 439.12, "end": 439.46, "word": " بنقول", "probability": 0.6259765625}, {"start": 439.46, "end": 440.28, "word": " بسيطة", "probability": 0.9876953125}, {"start": 440.28, "end": 441.18, "word": " انجل", "probability": 0.6582845052083334}, {"start": 441.18, "end": 441.56, "word": " الواحد", "probability": 0.8507486979166666}, {"start": 441.56, "end": 441.74, "word": " على", "probability": 0.74462890625}, {"start": 441.74, "end": 442.16, "word": " الشجة", "probability": 0.7805989583333334}, {"start": 442.16, "end": 442.78, "word": " التانية", "probability": 0.9798177083333334}, {"start": 442.78, "end": 443.52, "word": " و", "probability": 0.7734375}, {"start": 443.52, "end": 443.8, "word": " اجسم", "probability": 0.6673990885416666}, {"start": 443.8, "end": 444.0, "word": " على", "probability": 0.8369140625}, {"start": 444.0, "end": 444.58, "word": " مين؟", "probability": 0.72216796875}, {"start": 444.58, "end": 445.66, "word": " بتحصل", "probability": 0.9083658854166666}, {"start": 445.66, "end": 445.9, "word": " على", "probability": 0.90576171875}, {"start": 445.9, "end": 446.76, "word": " مين؟", "probability": 0.9534505208333334}, {"start": 446.76, "end": 447.52, "word": " على", "probability": 0.76708984375}, {"start": 447.52, "end": 448.2, "word": " جوش", "probability": 0.9912109375}, {"start": 448.2, "end": 448.96, "word": " square", "probability": 0.7236328125}, {"start": 448.96, "end": 449.64, "word": " X", "probability": 0.98193359375}, {"start": 449.64, "end": 450.26, "word": " بده", "probability": 0.7939453125}, {"start": 450.26, "end": 450.76, "word": " يساوي", "probability": 0.9293212890625}], "temperature": 1.0}, {"id": 21, "seek": 47362, "start": 452.06, "end": 473.62, "text": "تمام يبقى جوش square X هات هات هنا بيصير جوش 2X زائد وكل جسمها اتنين يعني النص في مين؟ في جوش 2X زائد 1 تمام هذه هي النقطة الأولى النقطة الثانية", "tokens": [2655, 15042, 2304, 7251, 3555, 4587, 7578, 10874, 2407, 8592, 3732, 1783, 8032, 9307, 8032, 9307, 34105, 4724, 1829, 9381, 13546, 10874, 2407, 8592, 568, 55, 30767, 16373, 3215, 4032, 28820, 10874, 38251, 11296, 1975, 2655, 1863, 9957, 37495, 22653, 28239, 9381, 8978, 3714, 9957, 22807, 8978, 10874, 2407, 8592, 568, 55, 30767, 16373, 3215, 502, 46811, 10943, 29538, 39896, 28239, 47432, 3660, 16247, 12610, 7578, 28239, 47432, 3660, 6024, 104, 7649, 10632], "avg_logprob": -0.30806587918384654, "compression_ratio": 1.607843137254902, "no_speech_prob": 0.0, "words": [{"start": 452.06, "end": 452.64, "word": "تمام", "probability": 0.5668131510416666}, {"start": 452.64, "end": 453.66, "word": " يبقى", "probability": 0.8316650390625}, {"start": 453.66, "end": 453.9, "word": " جوش", "probability": 0.6981201171875}, {"start": 453.9, "end": 454.26, "word": " square", "probability": 0.56396484375}, {"start": 454.26, "end": 454.66, "word": " X", "probability": 0.59814453125}, {"start": 454.66, "end": 455.24, "word": " هات", "probability": 0.4090576171875}, {"start": 455.24, "end": 455.52, "word": " هات", "probability": 0.536865234375}, {"start": 455.52, "end": 455.82, "word": " هنا", "probability": 0.79345703125}, {"start": 455.82, "end": 456.22, "word": " بيصير", "probability": 0.80462646484375}, {"start": 456.22, "end": 456.74, "word": " جوش", "probability": 0.9855143229166666}, {"start": 456.74, "end": 457.8, "word": " 2X", "probability": 0.586669921875}, {"start": 457.8, "end": 458.44, "word": " زائد", "probability": 0.7987467447916666}, {"start": 458.44, "end": 459.62, "word": " وكل", "probability": 0.710205078125}, {"start": 459.62, "end": 460.28, "word": " جسمها", "probability": 0.6043497721354166}, {"start": 460.28, "end": 460.82, "word": " اتنين", "probability": 0.837646484375}, {"start": 460.82, "end": 461.64, "word": " يعني", "probability": 0.93798828125}, {"start": 461.64, "end": 462.7, "word": " النص", "probability": 0.806884765625}, {"start": 462.7, "end": 463.22, "word": " في", "probability": 0.89013671875}, {"start": 463.22, "end": 463.92, "word": " مين؟", "probability": 0.596923828125}, {"start": 463.92, "end": 464.16, "word": " في", "probability": 0.87255859375}, {"start": 464.16, "end": 464.7, "word": " جوش", "probability": 0.9920247395833334}, {"start": 464.7, "end": 466.06, "word": " 2X", "probability": 0.951904296875}, {"start": 466.06, "end": 467.2, "word": " زائد", "probability": 0.9651692708333334}, {"start": 467.2, "end": 467.64, "word": " 1", "probability": 0.68896484375}, {"start": 467.64, "end": 469.7, "word": " تمام", "probability": 0.673828125}, {"start": 469.7, "end": 470.22, "word": " هذه", "probability": 0.51220703125}, {"start": 470.22, "end": 470.5, "word": " هي", "probability": 0.66845703125}, {"start": 470.5, "end": 471.06, "word": " النقطة", "probability": 0.98193359375}, {"start": 471.06, "end": 471.88, "word": " الأولى", "probability": 0.9236653645833334}, {"start": 471.88, "end": 472.92, "word": " النقطة", "probability": 0.9451497395833334}, {"start": 472.92, "end": 473.62, "word": " الثانية", "probability": 0.9659423828125}], "temperature": 1.0}, {"id": 22, "seek": 50000, "start": 475.06, "end": 500.0, "text": "طبعا يجب ان يعملها بنفس الطريقة يجب ان يجيب من هنا cinche square يبقى cinche square x يساوي طبعا يجيب من هنا على الشاشة التانية يجيب من شارة سالب وجسم على اتنين يبقى نصف في جوش اتنين اكس ماقص واحد بالشكل اللي عندنا", "tokens": [9566, 3555, 3615, 995, 7251, 7435, 3555, 16472, 7251, 25957, 1211, 11296, 44945, 36178, 41950, 16572, 28671, 7251, 7435, 3555, 16472, 7251, 7435, 1829, 3555, 9154, 34105, 6539, 1876, 3732, 7251, 3555, 4587, 7578, 6539, 1876, 3732, 2031, 7251, 3794, 995, 45865, 23032, 3555, 3615, 995, 7251, 7435, 1829, 3555, 9154, 34105, 15844, 25124, 33599, 3660, 16712, 7649, 10632, 7251, 7435, 1829, 3555, 9154, 13412, 9640, 3660, 8608, 6027, 3555, 4032, 7435, 38251, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 8717, 9381, 5172, 8978, 10874, 2407, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 19446, 4587, 9381, 36764, 24401, 20666, 8592, 28820, 13672, 1829, 43242, 8315], "avg_logprob": -0.43291284622402365, "compression_ratio": 1.8608247422680413, "no_speech_prob": 0.0, "words": [{"start": 475.06, "end": 475.8, "word": "طبعا", "probability": 0.6703033447265625}, {"start": 475.8, "end": 475.8, "word": " يجب", "probability": 0.5378011067708334}, {"start": 475.8, "end": 475.86, "word": " ان", "probability": 0.4306640625}, {"start": 475.86, "end": 476.64, "word": " يعملها", "probability": 0.41754150390625}, {"start": 476.64, "end": 477.04, "word": " بنفس", "probability": 0.819580078125}, {"start": 477.04, "end": 477.76, "word": " الطريقة", "probability": 0.9840494791666666}, {"start": 477.76, "end": 478.18, "word": " يجب", "probability": 0.6072591145833334}, {"start": 478.18, "end": 478.28, "word": " ان", "probability": 0.6533203125}, {"start": 478.28, "end": 478.72, "word": " يجيب", "probability": 0.548583984375}, {"start": 478.72, "end": 479.0, "word": " من", "probability": 0.75244140625}, {"start": 479.0, "end": 479.38, "word": " هنا", "probability": 0.40380859375}, {"start": 479.38, "end": 479.98, "word": " cinche", "probability": 0.158050537109375}, {"start": 479.98, "end": 480.52, "word": " square", "probability": 0.630859375}, {"start": 480.52, "end": 481.56, "word": " يبقى", "probability": 0.7525634765625}, {"start": 481.56, "end": 482.54, "word": " cinche", "probability": 0.964599609375}, {"start": 482.54, "end": 483.6, "word": " square", "probability": 0.78564453125}, {"start": 483.6, "end": 484.2, "word": " x", "probability": 0.66455078125}, {"start": 484.2, "end": 485.22, "word": " يساوي", "probability": 0.775146484375}, {"start": 485.22, "end": 486.26, "word": " طبعا", "probability": 0.6480712890625}, {"start": 486.26, "end": 486.38, "word": " يجيب", "probability": 0.7535400390625}, {"start": 486.38, "end": 486.38, "word": " من", "probability": 0.265625}, {"start": 486.38, "end": 486.6, "word": " هنا", "probability": 0.79833984375}, {"start": 486.6, "end": 488.2, "word": " على", "probability": 0.131591796875}, {"start": 488.2, "end": 488.58, "word": " الشاشة", "probability": 0.6482747395833334}, {"start": 488.58, "end": 488.82, "word": " التانية", "probability": 0.91650390625}, {"start": 488.82, "end": 489.14, "word": " يجيب", "probability": 0.72576904296875}, {"start": 489.14, "end": 489.22, "word": " من", "probability": 0.60205078125}, {"start": 489.22, "end": 489.64, "word": " شارة", "probability": 0.5521647135416666}, {"start": 489.64, "end": 490.16, "word": " سالب", "probability": 0.84326171875}, {"start": 490.16, "end": 491.06, "word": " وجسم", "probability": 0.5581461588541666}, {"start": 491.06, "end": 491.92, "word": " على", "probability": 0.81005859375}, {"start": 491.92, "end": 492.5, "word": " اتنين", "probability": 0.9150390625}, {"start": 492.5, "end": 493.48, "word": " يبقى", "probability": 0.9527587890625}, {"start": 493.48, "end": 494.3, "word": " نصف", "probability": 0.8712565104166666}, {"start": 494.3, "end": 494.52, "word": " في", "probability": 0.71728515625}, {"start": 494.52, "end": 495.3, "word": " جوش", "probability": 0.9111328125}, {"start": 495.3, "end": 496.94, "word": " اتنين", "probability": 0.961181640625}, {"start": 496.94, "end": 497.62, "word": " اكس", "probability": 0.81884765625}, {"start": 497.62, "end": 498.52, "word": " ماقص", "probability": 0.7771809895833334}, {"start": 498.52, "end": 499.06, "word": " واحد", "probability": 0.98583984375}, {"start": 499.06, "end": 499.52, "word": " بالشكل", "probability": 0.93115234375}, {"start": 499.52, "end": 499.68, "word": " اللي", "probability": 0.860107421875}, {"start": 499.68, "end": 500.0, "word": " عندنا", "probability": 0.6962890625}], "temperature": 1.0}, {"id": 23, "seek": 52962, "start": 501.52, "end": 529.62, "text": "لو رجعنا بالذاكرة إلى الورق للدول المثلثية كان عندك cos تربيه x يسوى النص في واحد زائد cos اتنين x وكان عندك sin تربيه ال x نص في واحد ناقص cos اتنين x الفرق بينهم إشارة ناقص وهذا الكمال الفرق بينهم إشارة ناقص زي ما انت شايف هذا النقطة الرابعة نجي للنقطة الخامسة", "tokens": [1211, 2407, 12602, 7435, 3615, 8315, 20666, 15730, 4117, 25720, 30731, 2423, 13063, 4587, 24976, 3215, 12610, 9673, 12984, 1211, 12984, 10632, 25961, 43242, 4117, 3792, 6055, 2288, 21292, 3224, 2031, 7251, 3794, 2407, 7578, 28239, 9381, 8978, 36764, 24401, 30767, 16373, 3215, 3792, 1975, 2655, 1863, 9957, 2031, 4032, 41361, 43242, 4117, 3343, 6055, 2288, 21292, 3224, 2423, 2031, 8717, 9381, 8978, 36764, 24401, 8717, 995, 4587, 9381, 3792, 1975, 2655, 1863, 9957, 2031, 27188, 2288, 4587, 49374, 16095, 11933, 8592, 9640, 3660, 8717, 995, 4587, 9381, 37037, 15730, 33251, 2304, 6027, 27188, 2288, 4587, 49374, 16095, 11933, 8592, 9640, 3660, 8717, 995, 4587, 9381, 30767, 1829, 19446, 16472, 2655, 13412, 995, 33911, 23758, 28239, 47432, 3660, 34892, 16758, 27884, 8717, 7435, 1829, 24976, 1863, 47432, 3660, 33962, 10943, 3794, 3660], "avg_logprob": -0.16200658342892066, "compression_ratio": 2.063348416289593, "no_speech_prob": 0.0, "words": [{"start": 501.52, "end": 501.9, "word": "لو", "probability": 0.64111328125}, {"start": 501.9, "end": 502.3, "word": " رجعنا", "probability": 0.969970703125}, {"start": 502.3, "end": 503.04, "word": " بالذاكرة", "probability": 0.836669921875}, {"start": 503.04, "end": 503.24, "word": " إلى", "probability": 0.499755859375}, {"start": 503.24, "end": 503.72, "word": " الورق", "probability": 0.796875}, {"start": 503.72, "end": 504.26, "word": " للدول", "probability": 0.7144368489583334}, {"start": 504.26, "end": 505.74, "word": " المثلثية", "probability": 0.95771484375}, {"start": 505.74, "end": 506.44, "word": " كان", "probability": 0.82666015625}, {"start": 506.44, "end": 506.86, "word": " عندك", "probability": 0.969970703125}, {"start": 506.86, "end": 507.2, "word": " cos", "probability": 0.451171875}, {"start": 507.2, "end": 507.8, "word": " تربيه", "probability": 0.6630859375}, {"start": 507.8, "end": 508.0, "word": " x", "probability": 0.38037109375}, {"start": 508.0, "end": 508.56, "word": " يسوى", "probability": 0.7158203125}, {"start": 508.56, "end": 509.12, "word": " النص", "probability": 0.732177734375}, {"start": 509.12, "end": 509.48, "word": " في", "probability": 0.89453125}, {"start": 509.48, "end": 510.12, "word": " واحد", "probability": 0.961669921875}, {"start": 510.12, "end": 510.68, "word": " زائد", "probability": 0.84716796875}, {"start": 510.68, "end": 511.18, "word": " cos", "probability": 0.71875}, {"start": 511.18, "end": 511.86, "word": " اتنين", "probability": 0.80487060546875}, {"start": 511.86, "end": 512.22, "word": " x", "probability": 0.91162109375}, {"start": 512.22, "end": 513.1, "word": " وكان", "probability": 0.883056640625}, {"start": 513.1, "end": 513.56, "word": " عندك", "probability": 0.995361328125}, {"start": 513.56, "end": 513.88, "word": " sin", "probability": 0.8662109375}, {"start": 513.88, "end": 514.42, "word": " تربيه", "probability": 0.9578857421875}, {"start": 514.42, "end": 514.56, "word": " ال", "probability": 0.82763671875}, {"start": 514.56, "end": 514.78, "word": " x", "probability": 0.477783203125}, {"start": 514.78, "end": 515.72, "word": " نص", "probability": 0.974609375}, {"start": 515.72, "end": 516.1, "word": " في", "probability": 0.9638671875}, {"start": 516.1, "end": 516.76, "word": " واحد", "probability": 0.9951171875}, {"start": 516.76, "end": 517.76, "word": " ناقص", "probability": 0.9842529296875}, {"start": 517.76, "end": 518.18, "word": " cos", "probability": 0.72607421875}, {"start": 518.18, "end": 519.44, "word": " اتنين", "probability": 0.9388427734375}, {"start": 519.44, "end": 519.72, "word": " x", "probability": 0.978515625}, {"start": 519.72, "end": 520.42, "word": " الفرق", "probability": 0.9588216145833334}, {"start": 520.42, "end": 520.74, "word": " بينهم", "probability": 0.982421875}, {"start": 520.74, "end": 521.1, "word": " إشارة", "probability": 0.9033203125}, {"start": 521.1, "end": 521.5, "word": " ناقص", "probability": 0.9930419921875}, {"start": 521.5, "end": 521.88, "word": " وهذا", "probability": 0.5234375}, {"start": 521.88, "end": 522.54, "word": " الكمال", "probability": 0.8094889322916666}, {"start": 522.54, "end": 523.34, "word": " الفرق", "probability": 0.9786783854166666}, {"start": 523.34, "end": 523.78, "word": " بينهم", "probability": 0.985595703125}, {"start": 523.78, "end": 524.58, "word": " إشارة", "probability": 0.987548828125}, {"start": 524.58, "end": 525.12, "word": " ناقص", "probability": 0.9970703125}, {"start": 525.12, "end": 525.38, "word": " زي", "probability": 0.686279296875}, {"start": 525.38, "end": 525.48, "word": " ما", "probability": 0.9853515625}, {"start": 525.48, "end": 525.64, "word": " انت", "probability": 0.7237548828125}, {"start": 525.64, "end": 525.96, "word": " شايف", "probability": 0.9871419270833334}, {"start": 525.96, "end": 526.36, "word": " هذا", "probability": 0.67333984375}, {"start": 526.36, "end": 526.84, "word": " النقطة", "probability": 0.9319661458333334}, {"start": 526.84, "end": 527.3, "word": " الرابعة", "probability": 0.9529622395833334}, {"start": 527.3, "end": 528.24, "word": " نجي", "probability": 0.8798828125}, {"start": 528.24, "end": 528.9, "word": " للنقطة", "probability": 0.9056396484375}, {"start": 528.9, "end": 529.62, "word": " الخامسة", "probability": 0.9635009765625}], "temperature": 1.0}, {"id": 24, "seek": 55707, "start": 530.21, "end": 557.07, "text": "النقطة الخامسة بدي اياكوا ان تطلعوها لحالكوا من تعريف الأتنين كيف؟ بدي هاي جوش ال X زائد سنش ال X يساوي يلا اجمعلي شفة و عندك هي مكتوبة معاك هي جيمة الجوش بدلات ال exponential و جيمة السنش بدلات ال exponential و يلا اجمعوا و اعطيني النتج يلا مين جمعها؟", "tokens": [6027, 1863, 47432, 3660, 33962, 10943, 3794, 3660, 4724, 16254, 1975, 25528, 4117, 14407, 16472, 6055, 9566, 1211, 3615, 2407, 11296, 5296, 5016, 6027, 4117, 14407, 9154, 37279, 16572, 5172, 16247, 2655, 1863, 9957, 9122, 33911, 22807, 4724, 16254, 8032, 47302, 10874, 2407, 8592, 2423, 1783, 30767, 16373, 3215, 8608, 1863, 8592, 2423, 1783, 7251, 3794, 995, 45865, 7251, 15040, 1975, 7435, 2304, 3615, 20292, 13412, 5172, 3660, 4032, 43242, 4117, 39896, 3714, 4117, 2655, 37746, 3660, 20449, 995, 4117, 39896, 10874, 32640, 3660, 25724, 2407, 8592, 47525, 1211, 9307, 2423, 21510, 4032, 10874, 32640, 3660, 21136, 1863, 8592, 47525, 1211, 9307, 2423, 21510, 4032, 7251, 15040, 1975, 7435, 2304, 3615, 14407, 4032, 1975, 3615, 9566, 9957, 1829, 28239, 2655, 7435, 7251, 15040, 3714, 9957, 10874, 2304, 3615, 11296, 22807], "avg_logprob": -0.230319662631013, "compression_ratio": 1.9155555555555555, "no_speech_prob": 0.0, "words": [{"start": 530.21, "end": 530.93, "word": "النقطة", "probability": 0.7520751953125}, {"start": 530.93, "end": 531.61, "word": " الخامسة", "probability": 0.963134765625}, {"start": 531.61, "end": 531.97, "word": " بدي", "probability": 0.571044921875}, {"start": 531.97, "end": 532.43, "word": " اياكوا", "probability": 0.64471435546875}, {"start": 532.43, "end": 532.63, "word": " ان", "probability": 0.72412109375}, {"start": 532.63, "end": 533.37, "word": " تطلعوها", "probability": 0.768798828125}, {"start": 533.37, "end": 534.17, "word": " لحالكوا", "probability": 0.92412109375}, {"start": 534.17, "end": 534.39, "word": " من", "probability": 0.98046875}, {"start": 534.39, "end": 535.15, "word": " تعريف", "probability": 0.986328125}, {"start": 535.15, "end": 535.79, "word": " الأتنين", "probability": 0.762451171875}, {"start": 535.79, "end": 536.73, "word": " كيف؟", "probability": 0.7763671875}, {"start": 536.73, "end": 537.25, "word": " بدي", "probability": 0.855712890625}, {"start": 537.25, "end": 537.61, "word": " هاي", "probability": 0.810791015625}, {"start": 537.61, "end": 538.13, "word": " جوش", "probability": 0.7970377604166666}, {"start": 538.13, "end": 538.43, "word": " ال", "probability": 0.91455078125}, {"start": 538.43, "end": 538.83, "word": " X", "probability": 0.67724609375}, {"start": 538.83, "end": 539.87, "word": " زائد", "probability": 0.8304036458333334}, {"start": 539.87, "end": 540.53, "word": " سنش", "probability": 0.931640625}, {"start": 540.53, "end": 540.85, "word": " ال", "probability": 0.7578125}, {"start": 540.85, "end": 541.25, "word": " X", "probability": 0.99267578125}, {"start": 541.25, "end": 542.13, "word": " يساوي", "probability": 0.89501953125}, {"start": 542.13, "end": 543.07, "word": " يلا", "probability": 0.64697265625}, {"start": 543.07, "end": 543.53, "word": " اجمعلي", "probability": 0.870703125}, {"start": 543.53, "end": 543.89, "word": " شفة", "probability": 0.433837890625}, {"start": 543.89, "end": 543.97, "word": " و", "probability": 0.85107421875}, {"start": 543.97, "end": 544.35, "word": " عندك", "probability": 0.6055908203125}, {"start": 544.35, "end": 544.53, "word": " هي", "probability": 0.39599609375}, {"start": 544.53, "end": 545.11, "word": " مكتوبة", "probability": 0.97138671875}, {"start": 545.11, "end": 545.51, "word": " معاك", "probability": 0.9716796875}, {"start": 545.51, "end": 546.01, "word": " هي", "probability": 0.376220703125}, {"start": 546.01, "end": 546.47, "word": " جيمة", "probability": 0.8951822916666666}, {"start": 546.47, "end": 547.49, "word": " الجوش", "probability": 0.9222005208333334}, {"start": 547.49, "end": 547.95, "word": " بدلات", "probability": 0.7941080729166666}, {"start": 547.95, "end": 548.07, "word": " ال", "probability": 0.70703125}, {"start": 548.07, "end": 548.71, "word": " exponential", "probability": 0.84033203125}, {"start": 548.71, "end": 549.41, "word": " و", "probability": 0.58837890625}, {"start": 549.41, "end": 549.75, "word": " جيمة", "probability": 0.8128255208333334}, {"start": 549.75, "end": 550.43, "word": " السنش", "probability": 0.9036458333333334}, {"start": 550.43, "end": 551.01, "word": " بدلات", "probability": 0.99072265625}, {"start": 551.01, "end": 551.15, "word": " ال", "probability": 0.9853515625}, {"start": 551.15, "end": 551.67, "word": " exponential", "probability": 0.8916015625}, {"start": 551.67, "end": 551.87, "word": " و", "probability": 0.30322265625}, {"start": 551.87, "end": 552.11, "word": " يلا", "probability": 0.83056640625}, {"start": 552.11, "end": 552.57, "word": " اجمعوا", "probability": 0.90068359375}, {"start": 552.57, "end": 552.67, "word": " و", "probability": 0.66357421875}, {"start": 552.67, "end": 552.93, "word": " اعطيني", "probability": 0.85546875}, {"start": 552.93, "end": 553.53, "word": " النتج", "probability": 0.8963216145833334}, {"start": 553.53, "end": 556.21, "word": " يلا", "probability": 0.6988525390625}, {"start": 556.21, "end": 556.43, "word": " مين", "probability": 0.878173828125}, {"start": 556.43, "end": 557.07, "word": " جمعها؟", "probability": 0.973046875}], "temperature": 1.0}, {"id": 25, "seek": 58642, "start": 557.45, "end": 586.43, "text": "إيه إتنين إيه والإكس على إتنين؟ يعني إيه والإكس بس يبقى النتيجة فعلا إيه والإكس هذا النقطة من الأولى النقطة الثانية لو قلت جوش ال X ماقصش ال X يالا أعطينا النتيجة سالب إيه والسالب X يبقى إيه والسالب X", "tokens": [28814, 1829, 3224, 11933, 2655, 1863, 9957, 11933, 1829, 3224, 16070, 28814, 4117, 3794, 15844, 11933, 2655, 1863, 9957, 22807, 37495, 22653, 11933, 1829, 3224, 16070, 28814, 4117, 3794, 4724, 3794, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 6156, 3615, 15040, 11933, 1829, 3224, 16070, 28814, 4117, 3794, 23758, 28239, 47432, 3660, 9154, 16247, 12610, 7578, 28239, 47432, 3660, 6024, 104, 7649, 10632, 45164, 12174, 1211, 2655, 10874, 2407, 8592, 2423, 1783, 19446, 4587, 9381, 8592, 2423, 1783, 7251, 6027, 995, 5551, 3615, 9566, 1829, 8315, 28239, 31371, 7435, 3660, 8608, 6027, 3555, 11933, 1829, 3224, 16070, 3794, 6027, 3555, 1783, 7251, 3555, 4587, 7578, 11933, 1829, 3224, 16070, 3794, 6027, 3555, 1783], "avg_logprob": -0.25434783075166784, "compression_ratio": 2.2452830188679247, "no_speech_prob": 0.0, "words": [{"start": 557.45, "end": 558.33, "word": "إيه", "probability": 0.3900553385416667}, {"start": 558.33, "end": 558.73, "word": " إتنين", "probability": 0.6640625}, {"start": 558.73, "end": 558.95, "word": " إيه", "probability": 0.8919270833333334}, {"start": 558.95, "end": 559.45, "word": " والإكس", "probability": 0.72576904296875}, {"start": 559.45, "end": 559.61, "word": " على", "probability": 0.705078125}, {"start": 559.61, "end": 560.31, "word": " إتنين؟", "probability": 0.84814453125}, {"start": 560.31, "end": 560.67, "word": " يعني", "probability": 0.78857421875}, {"start": 560.67, "end": 561.05, "word": " إيه", "probability": 0.91259765625}, {"start": 561.05, "end": 561.47, "word": " والإكس", "probability": 0.771881103515625}, {"start": 561.47, "end": 561.85, "word": " بس", "probability": 0.87109375}, {"start": 561.85, "end": 562.29, "word": " يبقى", "probability": 0.8807373046875}, {"start": 562.29, "end": 562.91, "word": " النتيجة", "probability": 0.9398193359375}, {"start": 562.91, "end": 563.55, "word": " فعلا", "probability": 0.8046875}, {"start": 563.55, "end": 564.47, "word": " إيه", "probability": 0.8319498697916666}, {"start": 564.47, "end": 565.05, "word": " والإكس", "probability": 0.9830322265625}, {"start": 565.05, "end": 565.33, "word": " هذا", "probability": 0.345458984375}, {"start": 565.33, "end": 565.83, "word": " النقطة", "probability": 0.9788411458333334}, {"start": 565.83, "end": 565.97, "word": " من", "probability": 0.1888427734375}, {"start": 565.97, "end": 567.61, "word": " الأولى", "probability": 0.841796875}, {"start": 567.61, "end": 568.57, "word": " النقطة", "probability": 0.9361979166666666}, {"start": 568.57, "end": 569.21, "word": " الثانية", "probability": 0.973388671875}, {"start": 569.21, "end": 569.85, "word": " لو", "probability": 0.7744140625}, {"start": 569.85, "end": 570.29, "word": " قلت", "probability": 0.94921875}, {"start": 570.29, "end": 571.13, "word": " جوش", "probability": 0.68359375}, {"start": 571.13, "end": 571.63, "word": " ال", "probability": 0.740234375}, {"start": 571.63, "end": 572.09, "word": " X", "probability": 0.697265625}, {"start": 572.09, "end": 573.71, "word": " ماقصش", "probability": 0.716064453125}, {"start": 573.71, "end": 573.99, "word": " ال", "probability": 0.84619140625}, {"start": 573.99, "end": 574.41, "word": " X", "probability": 0.98828125}, {"start": 574.41, "end": 575.03, "word": " يالا", "probability": 0.674072265625}, {"start": 575.03, "end": 575.39, "word": " أعطينا", "probability": 0.8384765625}, {"start": 575.39, "end": 576.05, "word": " النتيجة", "probability": 0.967041015625}, {"start": 576.05, "end": 577.93, "word": " سالب", "probability": 0.6551920572916666}, {"start": 577.93, "end": 580.25, "word": " إيه", "probability": 0.8958333333333334}, {"start": 580.25, "end": 583.03, "word": " والسالب", "probability": 0.85400390625}, {"start": 583.03, "end": 583.41, "word": " X", "probability": 0.90478515625}, {"start": 583.41, "end": 584.23, "word": " يبقى", "probability": 0.921142578125}, {"start": 584.23, "end": 585.11, "word": " إيه", "probability": 0.9833984375}, {"start": 585.11, "end": 586.07, "word": " والسالب", "probability": 0.9638671875}, {"start": 586.07, "end": 586.43, "word": " X", "probability": 0.99609375}], "temperature": 1.0}, {"id": 26, "seek": 61644, "start": 588.52, "end": 616.44, "text": "طبعا، يبقى دول استنتاجهم استنتاج بكل بساطة جامع عادى جدا من التعريف يبقى لكن هذه أفادنى انه تبصير المقدار هذا كله بدل مكتب اذا لجيت اتنين بقدر أشيله محق بدلهم واتنين هدول اذا لجيتهم بقدر أشيله محق بدلهم طيب نمرى ستة بدخليك كمان انت اطلعها لحالك اطلعلي في جوش عندك في التعريف يلا افتح على التعريف عندك", "tokens": [9566, 3555, 3615, 995, 12399, 7251, 3555, 4587, 7578, 11778, 12610, 44713, 29399, 26108, 16095, 44713, 29399, 26108, 4724, 28820, 4724, 3794, 41193, 3660, 10874, 10943, 3615, 6225, 18513, 7578, 10874, 28259, 9154, 16712, 3615, 16572, 5172, 7251, 3555, 4587, 7578, 44381, 29538, 5551, 5172, 18513, 1863, 7578, 16472, 3224, 6055, 3555, 9381, 13546, 9673, 28543, 9640, 23758, 28242, 3224, 47525, 1211, 3714, 4117, 2655, 3555, 1975, 15730, 5296, 7435, 36081, 1975, 2655, 1863, 9957, 4724, 28543, 2288, 5551, 8592, 26895, 3224, 3714, 5016, 4587, 47525, 1211, 16095, 4032, 9307, 1863, 9957, 8032, 3215, 12610, 1975, 15730, 5296, 7435, 36081, 16095, 4724, 28543, 2288, 5551, 8592, 26895, 3224, 3714, 5016, 4587, 47525, 1211, 16095, 23032, 1829, 3555, 8717, 29973, 7578, 8608, 2655, 3660, 47525, 9778, 20292, 4117, 9122, 2304, 7649, 16472, 2655, 1975, 9566, 1211, 3615, 11296, 5296, 5016, 6027, 4117, 1975, 9566, 1211, 3615, 20292, 8978, 10874, 2407, 8592, 43242, 4117, 8978, 16712, 3615, 16572, 5172, 7251, 15040, 1975, 5172, 2655, 5016, 15844, 16712, 3615, 16572, 5172, 43242, 4117], "avg_logprob": -0.22514620022467005, "compression_ratio": 2.141732283464567, "no_speech_prob": 0.0, "words": [{"start": 588.5200000000001, "end": 589.32, "word": "طبعا،", "probability": 0.658935546875}, {"start": 589.32, "end": 589.6, "word": " يبقى", "probability": 0.8294677734375}, {"start": 589.6, "end": 589.82, "word": " دول", "probability": 0.403564453125}, {"start": 589.82, "end": 590.3, "word": " استنتاجهم", "probability": 0.574951171875}, {"start": 590.3, "end": 590.68, "word": " استنتاج", "probability": 0.97314453125}, {"start": 590.68, "end": 590.98, "word": " بكل", "probability": 0.91845703125}, {"start": 590.98, "end": 591.34, "word": " بساطة", "probability": 0.98486328125}, {"start": 591.34, "end": 591.78, "word": " جامع", "probability": 0.6284993489583334}, {"start": 591.78, "end": 592.28, "word": " عادى", "probability": 0.72021484375}, {"start": 592.28, "end": 592.78, "word": " جدا", "probability": 0.98291015625}, {"start": 592.78, "end": 593.28, "word": " من", "probability": 0.86865234375}, {"start": 593.28, "end": 594.02, "word": " التعريف", "probability": 0.993408203125}, {"start": 594.02, "end": 594.78, "word": " يبقى", "probability": 0.86669921875}, {"start": 594.78, "end": 595.06, "word": " لكن", "probability": 0.62451171875}, {"start": 595.06, "end": 595.36, "word": " هذه", "probability": 0.5322265625}, {"start": 595.36, "end": 596.04, "word": " أفادنى", "probability": 0.78369140625}, {"start": 596.04, "end": 596.28, "word": " انه", "probability": 0.4874267578125}, {"start": 596.28, "end": 597.16, "word": " تبصير", "probability": 0.9151611328125}, {"start": 597.16, "end": 598.3, "word": " المقدار", "probability": 0.9002278645833334}, {"start": 598.3, "end": 598.62, "word": " هذا", "probability": 0.8203125}, {"start": 598.62, "end": 599.06, "word": " كله", "probability": 0.970947265625}, {"start": 599.06, "end": 599.34, "word": " بدل", "probability": 0.791259765625}, {"start": 599.34, "end": 599.78, "word": " مكتب", "probability": 0.874267578125}, {"start": 599.78, "end": 599.92, "word": " اذا", "probability": 0.49237060546875}, {"start": 599.92, "end": 600.24, "word": " لجيت", "probability": 0.5615234375}, {"start": 600.24, "end": 600.52, "word": " اتنين", "probability": 0.943603515625}, {"start": 600.52, "end": 600.98, "word": " بقدر", "probability": 0.7252604166666666}, {"start": 600.98, "end": 601.3, "word": " أشيله", "probability": 0.73931884765625}, {"start": 601.3, "end": 601.56, "word": " محق", "probability": 0.7224934895833334}, {"start": 601.56, "end": 602.12, "word": " بدلهم", "probability": 0.830078125}, {"start": 602.12, "end": 603.32, "word": " واتنين", "probability": 0.785400390625}, {"start": 603.32, "end": 603.72, "word": " هدول", "probability": 0.8697916666666666}, {"start": 603.72, "end": 603.88, "word": " اذا", "probability": 0.887451171875}, {"start": 603.88, "end": 604.36, "word": " لجيتهم", "probability": 0.9053955078125}, {"start": 604.36, "end": 604.66, "word": " بقدر", "probability": 0.96728515625}, {"start": 604.66, "end": 604.98, "word": " أشيله", "probability": 0.8310546875}, {"start": 604.98, "end": 605.26, "word": " محق", "probability": 0.994140625}, {"start": 605.26, "end": 605.82, "word": " بدلهم", "probability": 0.99560546875}, {"start": 605.82, "end": 607.22, "word": " طيب", "probability": 0.9104817708333334}, {"start": 607.22, "end": 607.88, "word": " نمرى", "probability": 0.46044921875}, {"start": 607.88, "end": 608.26, "word": " ستة", "probability": 0.8341471354166666}, {"start": 608.26, "end": 608.98, "word": " بدخليك", "probability": 0.67401123046875}, {"start": 608.98, "end": 609.36, "word": " كمان", "probability": 0.9856770833333334}, {"start": 609.36, "end": 609.6, "word": " انت", "probability": 0.82275390625}, {"start": 609.6, "end": 610.26, "word": " اطلعها", "probability": 0.8669921875}, {"start": 610.26, "end": 610.96, "word": " لحالك", "probability": 0.976318359375}, {"start": 610.96, "end": 612.18, "word": " اطلعلي", "probability": 0.88291015625}, {"start": 612.18, "end": 612.36, "word": " في", "probability": 0.83447265625}, {"start": 612.36, "end": 612.66, "word": " جوش", "probability": 0.89892578125}, {"start": 612.66, "end": 612.98, "word": " عندك", "probability": 0.9833984375}, {"start": 612.98, "end": 613.14, "word": " في", "probability": 0.94091796875}, {"start": 613.14, "end": 613.92, "word": " التعريف", "probability": 0.995849609375}, {"start": 613.92, "end": 614.92, "word": " يلا", "probability": 0.768310546875}, {"start": 614.92, "end": 615.3, "word": " افتح", "probability": 0.9554443359375}, {"start": 615.3, "end": 615.46, "word": " على", "probability": 0.89501953125}, {"start": 615.46, "end": 615.92, "word": " التعريف", "probability": 0.996337890625}, {"start": 615.92, "end": 616.44, "word": " عندك", "probability": 0.993408203125}], "temperature": 1.0}, {"id": 27, "seek": 64130, "start": 617.07, "end": 641.31, "text": "جوش ال X يُسمى E و ال 6 زي دي و صناعة ال 6 على 2 مظبوط؟ بدي أشوف هذي odd و الله even يبقى بدي أشيل كل X و أحط مكانها E و ال 6 يلا أشيل و أشوف هذي تتغير و الله بيظن هي هي هي هي هي مظبوط؟ إذن الجوش عبارة عن even function طيب فلا نلسش", "tokens": [7435, 2407, 8592, 2423, 1783, 7251, 10859, 38251, 7578, 462, 4032, 2423, 1386, 30767, 1829, 11778, 1829, 4032, 20328, 8315, 27884, 2423, 1386, 15844, 568, 3714, 19913, 3555, 2407, 9566, 22807, 4724, 16254, 5551, 8592, 38688, 8032, 8848, 1829, 7401, 4032, 21984, 754, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 8592, 26895, 28242, 1783, 4032, 5551, 5016, 9566, 3714, 41361, 11296, 462, 4032, 2423, 1386, 7251, 15040, 5551, 8592, 26895, 4032, 5551, 8592, 38688, 8032, 8848, 1829, 6055, 2655, 17082, 13546, 4032, 21984, 4724, 1829, 19913, 1863, 39896, 39896, 39896, 39896, 39896, 3714, 19913, 3555, 2407, 9566, 22807, 11933, 8848, 1863, 25724, 2407, 8592, 6225, 3555, 9640, 3660, 18871, 754, 2445, 23032, 1829, 3555, 6156, 15040, 8717, 1211, 3794, 8592], "avg_logprob": -0.39230373280107483, "compression_ratio": 1.7570093457943925, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 617.07, "end": 617.63, "word": "جوش", "probability": 0.5818074544270834}, {"start": 617.63, "end": 617.85, "word": " ال", "probability": 0.71923828125}, {"start": 617.85, "end": 618.27, "word": " X", "probability": 0.6279296875}, {"start": 618.27, "end": 618.95, "word": " يُسمى", "probability": 0.3773345947265625}, {"start": 618.95, "end": 619.27, "word": " E", "probability": 0.76611328125}, {"start": 619.27, "end": 619.49, "word": " و", "probability": 0.3134765625}, {"start": 619.49, "end": 619.53, "word": " ال", "probability": 0.368408203125}, {"start": 619.53, "end": 619.81, "word": " 6", "probability": 0.60400390625}, {"start": 619.81, "end": 620.21, "word": " زي", "probability": 0.787109375}, {"start": 620.21, "end": 620.41, "word": " دي", "probability": 0.66162109375}, {"start": 620.41, "end": 620.53, "word": " و", "probability": 0.92041015625}, {"start": 620.53, "end": 620.83, "word": " صناعة", "probability": 0.5843098958333334}, {"start": 620.83, "end": 620.95, "word": " ال", "probability": 0.80078125}, {"start": 620.95, "end": 621.13, "word": " 6", "probability": 0.67822265625}, {"start": 621.13, "end": 621.35, "word": " على", "probability": 0.76220703125}, {"start": 621.35, "end": 621.79, "word": " 2", "probability": 0.7822265625}, {"start": 621.79, "end": 622.99, "word": " مظبوط؟", "probability": 0.6953125}, {"start": 622.99, "end": 623.57, "word": " بدي", "probability": 0.369873046875}, {"start": 623.57, "end": 623.85, "word": " أشوف", "probability": 0.7975260416666666}, {"start": 623.85, "end": 624.43, "word": " هذي", "probability": 0.568115234375}, {"start": 624.43, "end": 624.85, "word": " odd", "probability": 0.12030029296875}, {"start": 624.85, "end": 625.07, "word": " و", "probability": 0.479248046875}, {"start": 625.07, "end": 625.35, "word": " الله", "probability": 0.865234375}, {"start": 625.35, "end": 625.97, "word": " even", "probability": 0.8603515625}, {"start": 625.97, "end": 627.21, "word": " يبقى", "probability": 0.6795654296875}, {"start": 627.21, "end": 627.53, "word": " بدي", "probability": 0.904052734375}, {"start": 627.53, "end": 627.99, "word": " أشيل", "probability": 0.9571940104166666}, {"start": 627.99, "end": 628.41, "word": " كل", "probability": 0.955078125}, {"start": 628.41, "end": 628.69, "word": " X", "probability": 0.98388671875}, {"start": 628.69, "end": 628.83, "word": " و", "probability": 0.95166015625}, {"start": 628.83, "end": 629.05, "word": " أحط", "probability": 0.82666015625}, {"start": 629.05, "end": 629.69, "word": " مكانها", "probability": 0.9931640625}, {"start": 629.69, "end": 630.45, "word": " E", "probability": 0.9521484375}, {"start": 630.45, "end": 630.65, "word": " و", "probability": 0.9423828125}, {"start": 630.65, "end": 630.81, "word": " ال", "probability": 0.85498046875}, {"start": 630.81, "end": 631.15, "word": " 6", "probability": 0.9375}, {"start": 631.15, "end": 631.57, "word": " يلا", "probability": 0.65869140625}, {"start": 631.57, "end": 631.85, "word": " أشيل", "probability": 0.7897135416666666}, {"start": 631.85, "end": 631.97, "word": " و", "probability": 0.49755859375}, {"start": 631.97, "end": 632.15, "word": " أشوف", "probability": 0.9466145833333334}, {"start": 632.15, "end": 632.33, "word": " هذي", "probability": 0.4236653645833333}, {"start": 632.33, "end": 632.97, "word": " تتغير", "probability": 0.85858154296875}, {"start": 632.97, "end": 633.09, "word": " و", "probability": 0.79345703125}, {"start": 633.09, "end": 633.21, "word": " الله", "probability": 0.86962890625}, {"start": 633.21, "end": 633.55, "word": " بيظن", "probability": 0.7021484375}, {"start": 633.55, "end": 633.83, "word": " هي", "probability": 0.488037109375}, {"start": 633.83, "end": 634.25, "word": " هي", "probability": 0.82080078125}, {"start": 634.25, "end": 635.07, "word": " هي", "probability": 0.5869140625}, {"start": 635.07, "end": 635.55, "word": " هي", "probability": 0.90771484375}, {"start": 635.55, "end": 635.55, "word": " هي", "probability": 0.8037109375}, {"start": 635.55, "end": 636.65, "word": " مظبوط؟", "probability": 0.8499755859375}, {"start": 636.65, "end": 636.93, "word": " إذن", "probability": 0.7014973958333334}, {"start": 636.93, "end": 637.37, "word": " الجوش", "probability": 0.9609375}, {"start": 637.37, "end": 637.67, "word": " عبارة", "probability": 0.927001953125}, {"start": 637.67, "end": 637.83, "word": " عن", "probability": 0.97705078125}, {"start": 637.83, "end": 638.25, "word": " even", "probability": 0.38671875}, {"start": 638.25, "end": 639.57, "word": " function", "probability": 0.888671875}, {"start": 639.57, "end": 640.15, "word": " طيب", "probability": 0.9114583333333334}, {"start": 640.15, "end": 640.53, "word": " فلا", "probability": 0.403564453125}, {"start": 640.53, "end": 641.31, "word": " نلسش", "probability": 0.64959716796875}], "temperature": 1.0}, {"id": 28, "seek": 65013, "start": 643.29, "end": 650.13, "text": "هو اللي هي مقلوبة؟ طلع فيها كويس", "tokens": [3224, 2407, 13672, 1829, 39896, 3714, 4587, 1211, 37746, 3660, 22807, 23032, 1211, 3615, 8978, 11296, 9122, 45865, 3794], "avg_logprob": -0.25722655802965166, "compression_ratio": 0.9508196721311475, "no_speech_prob": 0.0, "words": [{"start": 643.29, "end": 643.65, "word": "هو", "probability": 0.787109375}, {"start": 643.65, "end": 643.71, "word": " اللي", "probability": 0.962158203125}, {"start": 643.71, "end": 643.81, "word": " هي", "probability": 0.335205078125}, {"start": 643.81, "end": 644.65, "word": " مقلوبة؟", "probability": 0.8187255859375}, {"start": 644.65, "end": 649.21, "word": " طلع", "probability": 0.6806233723958334}, {"start": 649.21, "end": 649.47, "word": " فيها", "probability": 0.985107421875}, {"start": 649.47, "end": 650.13, "word": " كويس", "probability": 0.9847005208333334}], "temperature": 1.0}, {"id": 29, "seek": 67904, "start": 651.66, "end": 679.04, "text": "even زيها اذا انا عندي تنتين من هدول even والباقي الأربعة odd كل الأربعة الباقية odd يبجي هنا بجي بقول اللي هو سيش ال X and جوش ال X اللي هي مقلوبة are even", "tokens": [27170, 30767, 1829, 11296, 1975, 15730, 1975, 8315, 18871, 16254, 6055, 29399, 9957, 9154, 8032, 3215, 12610, 754, 16070, 3555, 995, 38436, 16247, 25513, 27884, 7401, 28242, 16247, 25513, 27884, 29739, 995, 4587, 10632, 7401, 7251, 3555, 7435, 1829, 34105, 4724, 7435, 1829, 4724, 39648, 13672, 1829, 31439, 8608, 1829, 8592, 2423, 1783, 293, 10874, 2407, 8592, 2423, 1783, 13672, 1829, 39896, 3714, 4587, 1211, 37746, 3660, 366, 754], "avg_logprob": -0.36897321811744144, "compression_ratio": 1.6866666666666668, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 651.66, "end": 652.18, "word": "even", "probability": 0.0987548828125}, {"start": 652.18, "end": 652.96, "word": " زيها", "probability": 0.8186848958333334}, {"start": 652.96, "end": 655.94, "word": " اذا", "probability": 0.22393798828125}, {"start": 655.94, "end": 657.1, "word": " انا", "probability": 0.54315185546875}, {"start": 657.1, "end": 657.46, "word": " عندي", "probability": 0.7430419921875}, {"start": 657.46, "end": 658.28, "word": " تنتين", "probability": 0.7843424479166666}, {"start": 658.28, "end": 658.58, "word": " من", "probability": 0.986328125}, {"start": 658.58, "end": 659.26, "word": " هدول", "probability": 0.701904296875}, {"start": 659.26, "end": 659.76, "word": " even", "probability": 0.73681640625}, {"start": 659.76, "end": 660.6, "word": " والباقي", "probability": 0.674560546875}, {"start": 660.6, "end": 661.6, "word": " الأربعة", "probability": 0.7854817708333334}, {"start": 661.6, "end": 662.72, "word": " odd", "probability": 0.51513671875}, {"start": 662.72, "end": 663.66, "word": " كل", "probability": 0.472900390625}, {"start": 663.66, "end": 664.14, "word": " الأربعة", "probability": 0.9026692708333334}, {"start": 664.14, "end": 664.7, "word": " الباقية", "probability": 0.8941650390625}, {"start": 664.7, "end": 665.22, "word": " odd", "probability": 0.67626953125}, {"start": 665.22, "end": 666.18, "word": " يبجي", "probability": 0.6568603515625}, {"start": 666.18, "end": 666.58, "word": " هنا", "probability": 0.92919921875}, {"start": 666.58, "end": 668.12, "word": " بجي", "probability": 0.7474772135416666}, {"start": 668.12, "end": 668.8, "word": " بقول", "probability": 0.95703125}, {"start": 668.8, "end": 669.34, "word": " اللي", "probability": 0.753173828125}, {"start": 669.34, "end": 669.96, "word": " هو", "probability": 0.962890625}, {"start": 669.96, "end": 671.22, "word": " سيش", "probability": 0.5078938802083334}, {"start": 671.22, "end": 671.66, "word": " ال", "probability": 0.92236328125}, {"start": 671.66, "end": 672.12, "word": " X", "probability": 0.58544921875}, {"start": 672.12, "end": 673.44, "word": " and", "probability": 0.77978515625}, {"start": 673.44, "end": 674.74, "word": " جوش", "probability": 0.9103190104166666}, {"start": 674.74, "end": 675.06, "word": " ال", "probability": 0.91552734375}, {"start": 675.06, "end": 675.42, "word": " X", "probability": 0.990234375}, {"start": 675.42, "end": 675.62, "word": " اللي", "probability": 0.82861328125}, {"start": 675.62, "end": 675.9, "word": " هي", "probability": 0.85693359375}, {"start": 675.9, "end": 676.9, "word": " مقلوبة", "probability": 0.9177734375}, {"start": 676.9, "end": 677.86, "word": " are", "probability": 0.84716796875}, {"start": 677.86, "end": 679.04, "word": " even", "probability": 0.89697265625}], "temperature": 1.0}, {"id": 30, "seek": 69534, "start": 683.12, "end": 695.34, "text": "but the others are odd لكن البقيات كله إيش؟ كله odd", "tokens": [5955, 264, 2357, 366, 7401, 44381, 29739, 4587, 25528, 2655, 28242, 3224, 11933, 1829, 8592, 22807, 28242, 3224, 7401], "avg_logprob": -0.34453123807907104, "compression_ratio": 1.0289855072463767, "no_speech_prob": 0.0, "words": [{"start": 683.12, "end": 684.52, "word": "but", "probability": 0.328369140625}, {"start": 684.52, "end": 685.92, "word": " the", "probability": 0.63427734375}, {"start": 685.92, "end": 687.62, "word": " others", "probability": 0.91796875}, {"start": 687.62, "end": 690.02, "word": " are", "probability": 0.958984375}, {"start": 690.02, "end": 691.2, "word": " odd", "probability": 0.71533203125}, {"start": 691.2, "end": 692.48, "word": " لكن", "probability": 0.52783203125}, {"start": 692.48, "end": 693.12, "word": " البقيات", "probability": 0.70068359375}, {"start": 693.12, "end": 693.46, "word": " كله", "probability": 0.811279296875}, {"start": 693.46, "end": 694.26, "word": " إيش؟", "probability": 0.79193115234375}, {"start": 694.26, "end": 695.0, "word": " كله", "probability": 0.974609375}, {"start": 695.0, "end": 695.34, "word": " odd", "probability": 0.7255859375}], "temperature": 1.0}, {"id": 31, "seek": 72148, "start": 695.84, "end": 721.48, "text": "يبقى تنتين even والاربعة الأخرى يتمالهم odd زي تماما في الدوال المثلثية كان الكوصة عين X وسقل X اتنين are even والاربعة odd بالشكل اللي قلنا هذا نجي الأن لمشتقة الدوال الزائدية يرجى بالذات لدريفاتيف", "tokens": [1829, 3555, 4587, 7578, 6055, 29399, 9957, 754, 16070, 9640, 3555, 27884, 16247, 34740, 7578, 7251, 39237, 6027, 16095, 7401, 30767, 1829, 46811, 10943, 995, 8978, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632, 25961, 33251, 2407, 9381, 3660, 6225, 9957, 1783, 4032, 3794, 4587, 1211, 1783, 1975, 2655, 1863, 9957, 366, 754, 16070, 9640, 3555, 27884, 7401, 20666, 8592, 28820, 13672, 1829, 12174, 1211, 8315, 23758, 8717, 7435, 1829, 16247, 1863, 32767, 8592, 2655, 28671, 32748, 2407, 6027, 6024, 110, 16373, 3215, 10632, 7251, 47341, 7578, 20666, 8848, 9307, 5296, 3215, 16572, 5172, 9307, 1829, 5172], "avg_logprob": -0.31281888697828564, "compression_ratio": 1.758974358974359, "no_speech_prob": 0.0, "words": [{"start": 695.84, "end": 696.34, "word": "يبقى", "probability": 0.83404541015625}, {"start": 696.34, "end": 697.06, "word": " تنتين", "probability": 0.6399332682291666}, {"start": 697.06, "end": 697.56, "word": " even", "probability": 0.436279296875}, {"start": 697.56, "end": 698.9, "word": " والاربعة", "probability": 0.7637939453125}, {"start": 698.9, "end": 699.44, "word": " الأخرى", "probability": 0.92529296875}, {"start": 699.44, "end": 700.3, "word": " يتمالهم", "probability": 0.76708984375}, {"start": 700.3, "end": 701.28, "word": " odd", "probability": 0.53955078125}, {"start": 701.28, "end": 702.12, "word": " زي", "probability": 0.748291015625}, {"start": 702.12, "end": 702.7, "word": " تماما", "probability": 0.9436848958333334}, {"start": 702.7, "end": 702.82, "word": " في", "probability": 0.9384765625}, {"start": 702.82, "end": 703.16, "word": " الدوال", "probability": 0.8798828125}, {"start": 703.16, "end": 703.9, "word": " المثلثية", "probability": 0.84775390625}, {"start": 703.9, "end": 704.24, "word": " كان", "probability": 0.849609375}, {"start": 704.24, "end": 705.22, "word": " الكوصة", "probability": 0.60723876953125}, {"start": 705.22, "end": 705.64, "word": " عين", "probability": 0.77783203125}, {"start": 705.64, "end": 706.24, "word": " X", "probability": 0.62646484375}, {"start": 706.24, "end": 707.36, "word": " وسقل", "probability": 0.589019775390625}, {"start": 707.36, "end": 707.56, "word": " X", "probability": 0.9794921875}, {"start": 707.56, "end": 708.02, "word": " اتنين", "probability": 0.790740966796875}, {"start": 708.02, "end": 708.32, "word": " are", "probability": 0.625}, {"start": 708.32, "end": 708.7, "word": " even", "probability": 0.90283203125}, {"start": 708.7, "end": 709.58, "word": " والاربعة", "probability": 0.94775390625}, {"start": 709.58, "end": 710.38, "word": " odd", "probability": 0.4609375}, {"start": 710.38, "end": 710.92, "word": " بالشكل", "probability": 0.9658203125}, {"start": 710.92, "end": 711.06, "word": " اللي", "probability": 0.944580078125}, {"start": 711.06, "end": 711.26, "word": " قلنا", "probability": 0.75439453125}, {"start": 711.26, "end": 711.6, "word": " هذا", "probability": 0.12255859375}, {"start": 711.6, "end": 713.9, "word": " نجي", "probability": 0.7140299479166666}, {"start": 713.9, "end": 714.34, "word": " الأن", "probability": 0.64404296875}, {"start": 714.34, "end": 715.56, "word": " لمشتقة", "probability": 0.9351806640625}, {"start": 715.56, "end": 716.46, "word": " الدوال", "probability": 0.9754231770833334}, {"start": 716.46, "end": 717.9, "word": " الزائدية", "probability": 0.87431640625}, {"start": 717.9, "end": 718.74, "word": " يرجى", "probability": 0.9371744791666666}, {"start": 718.74, "end": 719.32, "word": " بالذات", "probability": 0.7578938802083334}, {"start": 719.32, "end": 721.48, "word": " لدريفاتيف", "probability": 0.601318359375}], "temperature": 1.0}, {"id": 32, "seek": 72887, "start": 723.11, "end": 728.87, "text": "or high parabolic functions", "tokens": [284, 1090, 971, 26956, 6828], "avg_logprob": -0.3841145833333333, "compression_ratio": 0.7714285714285715, "no_speech_prob": 0.0, "words": [{"start": 723.11, "end": 723.75, "word": "or", "probability": 0.3154296875}, {"start": 723.75, "end": 725.01, "word": " high", "probability": 0.5947265625}, {"start": 725.01, "end": 726.13, "word": " parabolic", "probability": 0.8251953125}, {"start": 726.13, "end": 728.87, "word": " functions", "probability": 0.84716796875}], "temperature": 1.0}, {"id": 33, "seek": 75948, "start": 731.78, "end": 759.48, "text": "مش تقت الدوالي زادية باجي بقوله if ال U is a differentiable function of X then نمره واحد بدنا دي على دي X لمن؟ ل essential U يساوي بدوش اكتبلك الجواب بده اخليك انت تطلع الجواب", "tokens": [2304, 8592, 6055, 38149, 32748, 2407, 6027, 1829, 30767, 18513, 10632, 4724, 26108, 1829, 4724, 39648, 3224, 498, 2423, 624, 307, 257, 819, 9364, 2445, 295, 1783, 550, 8717, 29973, 3224, 36764, 24401, 47525, 8315, 11778, 1829, 15844, 11778, 1829, 1783, 5296, 27842, 22807, 5296, 7115, 624, 7251, 3794, 995, 45865, 47525, 2407, 8592, 1975, 4117, 2655, 3555, 23275, 25724, 14407, 3555, 47525, 3224, 1975, 9778, 20292, 4117, 16472, 2655, 6055, 9566, 1211, 3615, 25724, 14407, 3555], "avg_logprob": -0.3183093002209297, "compression_ratio": 1.454054054054054, "no_speech_prob": 0.0, "words": [{"start": 731.78, "end": 732.12, "word": "مش", "probability": 0.784912109375}, {"start": 732.12, "end": 732.44, "word": " تقت", "probability": 0.6025390625}, {"start": 732.44, "end": 733.22, "word": " الدوالي", "probability": 0.6392822265625}, {"start": 733.22, "end": 733.84, "word": " زادية", "probability": 0.70263671875}, {"start": 733.84, "end": 734.86, "word": " باجي", "probability": 0.673095703125}, {"start": 734.86, "end": 735.56, "word": " بقوله", "probability": 0.7794596354166666}, {"start": 735.56, "end": 736.0, "word": " if", "probability": 0.343994140625}, {"start": 736.0, "end": 736.82, "word": " ال", "probability": 0.7412109375}, {"start": 736.82, "end": 737.16, "word": " U", "probability": 0.63623046875}, {"start": 737.16, "end": 738.28, "word": " is", "probability": 0.92333984375}, {"start": 738.28, "end": 739.18, "word": " a", "probability": 0.96923828125}, {"start": 739.18, "end": 740.5, "word": " differentiable", "probability": 0.93212890625}, {"start": 740.5, "end": 741.82, "word": " function", "probability": 0.95556640625}, {"start": 741.82, "end": 743.0, "word": " of", "probability": 0.974609375}, {"start": 743.0, "end": 743.62, "word": " X", "probability": 0.89794921875}, {"start": 743.62, "end": 744.5, "word": " then", "probability": 0.5751953125}, {"start": 744.5, "end": 745.8, "word": " نمره", "probability": 0.6458333333333334}, {"start": 745.8, "end": 746.26, "word": " واحد", "probability": 0.7369384765625}, {"start": 746.26, "end": 747.1, "word": " بدنا", "probability": 0.7431640625}, {"start": 747.1, "end": 747.44, "word": " دي", "probability": 0.768798828125}, {"start": 747.44, "end": 748.48, "word": " على", "probability": 0.446533203125}, {"start": 748.48, "end": 748.86, "word": " دي", "probability": 0.82373046875}, {"start": 748.86, "end": 749.32, "word": " X", "probability": 0.9326171875}, {"start": 749.32, "end": 750.86, "word": " لمن؟", "probability": 0.6640625}, {"start": 750.86, "end": 751.0, "word": " ل", "probability": 0.83642578125}, {"start": 751.0, "end": 751.88, "word": " essential", "probability": 0.541015625}, {"start": 751.88, "end": 752.74, "word": " U", "probability": 0.97412109375}, {"start": 752.74, "end": 754.22, "word": " يساوي", "probability": 0.941650390625}, {"start": 754.22, "end": 756.72, "word": " بدوش", "probability": 0.5683186848958334}, {"start": 756.72, "end": 757.18, "word": " اكتبلك", "probability": 0.75703125}, {"start": 757.18, "end": 757.56, "word": " الجواب", "probability": 0.9109700520833334}, {"start": 757.56, "end": 757.86, "word": " بده", "probability": 0.5577392578125}, {"start": 757.86, "end": 758.2, "word": " اخليك", "probability": 0.8955078125}, {"start": 758.2, "end": 758.4, "word": " انت", "probability": 0.814208984375}, {"start": 758.4, "end": 758.88, "word": " تطلع", "probability": 0.80596923828125}, {"start": 758.88, "end": 759.48, "word": " الجواب", "probability": 0.96533203125}], "temperature": 1.0}, {"id": 34, "seek": 76893, "start": 760.79, "end": 768.93, "text": "تشوف التعريف السُنش عندك يالا اللي هي نص في U ال 6 زي D و S ناقص X اشتقها", "tokens": [2655, 8592, 38688, 16712, 3615, 16572, 5172, 21136, 10859, 1863, 8592, 43242, 4117, 7251, 6027, 995, 13672, 1829, 39896, 8717, 9381, 8978, 624, 2423, 1386, 30767, 1829, 413, 4032, 318, 8717, 995, 4587, 9381, 1783, 1975, 8592, 2655, 4587, 11296], "avg_logprob": -0.5240091463414634, "compression_ratio": 1.2424242424242424, "no_speech_prob": 0.0, "words": [{"start": 760.79, "end": 761.31, "word": "تشوف", "probability": 0.2967529296875}, {"start": 761.31, "end": 761.93, "word": " التعريف", "probability": 0.8369140625}, {"start": 761.93, "end": 762.43, "word": " السُنش", "probability": 0.548583984375}, {"start": 762.43, "end": 763.07, "word": " عندك", "probability": 0.5848388671875}, {"start": 763.07, "end": 764.97, "word": " يالا", "probability": 0.594970703125}, {"start": 764.97, "end": 765.09, "word": " اللي", "probability": 0.637939453125}, {"start": 765.09, "end": 765.25, "word": " هي", "probability": 0.40771484375}, {"start": 765.25, "end": 765.57, "word": " نص", "probability": 0.916748046875}, {"start": 765.57, "end": 765.77, "word": " في", "probability": 0.6796875}, {"start": 765.77, "end": 766.01, "word": " U", "probability": 0.219482421875}, {"start": 766.01, "end": 766.19, "word": " ال", "probability": 0.25244140625}, {"start": 766.19, "end": 766.43, "word": " 6", "probability": 0.2423095703125}, {"start": 766.43, "end": 766.79, "word": " زي", "probability": 0.97998046875}, {"start": 766.79, "end": 766.97, "word": " D", "probability": 0.62255859375}, {"start": 766.97, "end": 767.09, "word": " و", "probability": 0.513671875}, {"start": 767.09, "end": 767.27, "word": " S", "probability": 0.464111328125}, {"start": 767.27, "end": 767.69, "word": " ناقص", "probability": 0.9073486328125}, {"start": 767.69, "end": 768.05, "word": " X", "probability": 0.96337890625}, {"start": 768.05, "end": 768.93, "word": " اشتقها", "probability": 0.8970703125}], "temperature": 1.0}, {"id": 35, "seek": 80041, "start": 773.51, "end": 800.41, "text": "نص زي ما هو واليو سكس زي ما هي وزاد او عندك هنا ناقص يوس ناقص اكس لما اشتغل نفسه في سالب يصير موجب يعني مين؟ جوش إذا انتفضل السنش بجوش يبقى هذه جوش اليو في الدي يورو على دي اكس نمر اثنان بدنا دي على دي اكس لجوش اليو", "tokens": [1863, 9381, 30767, 1829, 19446, 31439, 16070, 1829, 2407, 8608, 4117, 3794, 30767, 1829, 19446, 39896, 4032, 11622, 18513, 1975, 2407, 43242, 4117, 34105, 8717, 995, 4587, 9381, 7251, 41779, 8717, 995, 4587, 9381, 1975, 4117, 3794, 5296, 15042, 1975, 8592, 2655, 17082, 1211, 8717, 36178, 3224, 8978, 8608, 6027, 3555, 7251, 9381, 13546, 3714, 29245, 3555, 37495, 22653, 3714, 9957, 22807, 10874, 2407, 8592, 11933, 15730, 16472, 2655, 5172, 11242, 1211, 21136, 1863, 8592, 4724, 7435, 2407, 8592, 7251, 3555, 4587, 7578, 29538, 10874, 2407, 8592, 45595, 2407, 8978, 2423, 16254, 7251, 13063, 2407, 15844, 11778, 1829, 1975, 4117, 3794, 8717, 29973, 1975, 12984, 1863, 7649, 47525, 8315, 11778, 1829, 15844, 11778, 1829, 1975, 4117, 3794, 5296, 7435, 2407, 8592, 45595, 2407], "avg_logprob": -0.2593245859588346, "compression_ratio": 1.9538461538461538, "no_speech_prob": 0.0, "words": [{"start": 773.51, "end": 774.05, "word": "نص", "probability": 0.4901123046875}, {"start": 774.05, "end": 774.41, "word": " زي", "probability": 0.861572265625}, {"start": 774.41, "end": 774.55, "word": " ما", "probability": 0.91796875}, {"start": 774.55, "end": 774.93, "word": " هو", "probability": 0.97509765625}, {"start": 774.93, "end": 775.95, "word": " واليو", "probability": 0.3298746744791667}, {"start": 775.95, "end": 776.27, "word": " سكس", "probability": 0.7810872395833334}, {"start": 776.27, "end": 776.63, "word": " زي", "probability": 0.994140625}, {"start": 776.63, "end": 776.85, "word": " ما", "probability": 0.96484375}, {"start": 776.85, "end": 777.09, "word": " هي", "probability": 0.65380859375}, {"start": 777.09, "end": 778.37, "word": " وزاد", "probability": 0.4326985677083333}, {"start": 778.37, "end": 779.01, "word": " او", "probability": 0.800048828125}, {"start": 779.01, "end": 779.45, "word": " عندك", "probability": 0.8984375}, {"start": 779.45, "end": 779.71, "word": " هنا", "probability": 0.9443359375}, {"start": 779.71, "end": 780.53, "word": " ناقص", "probability": 0.9349365234375}, {"start": 780.53, "end": 781.39, "word": " يوس", "probability": 0.25823974609375}, {"start": 781.39, "end": 781.75, "word": " ناقص", "probability": 0.939453125}, {"start": 781.75, "end": 781.95, "word": " اكس", "probability": 0.7886555989583334}, {"start": 781.95, "end": 782.17, "word": " لما", "probability": 0.74609375}, {"start": 782.17, "end": 782.67, "word": " اشتغل", "probability": 0.842578125}, {"start": 782.67, "end": 783.13, "word": " نفسه", "probability": 0.9078776041666666}, {"start": 783.13, "end": 783.29, "word": " في", "probability": 0.94482421875}, {"start": 783.29, "end": 783.79, "word": " سالب", "probability": 0.7101236979166666}, {"start": 783.79, "end": 784.55, "word": " يصير", "probability": 0.7975260416666666}, {"start": 784.55, "end": 784.99, "word": " موجب", "probability": 0.8662109375}, {"start": 784.99, "end": 785.25, "word": " يعني", "probability": 0.794921875}, {"start": 785.25, "end": 786.13, "word": " مين؟", "probability": 0.86474609375}, {"start": 786.13, "end": 786.73, "word": " جوش", "probability": 0.8951822916666666}, {"start": 786.73, "end": 787.23, "word": " إذا", "probability": 0.6453857421875}, {"start": 787.23, "end": 787.85, "word": " انتفضل", "probability": 0.90693359375}, {"start": 787.85, "end": 788.41, "word": " السنش", "probability": 0.7437337239583334}, {"start": 788.41, "end": 789.07, "word": " بجوش", "probability": 0.9766845703125}, {"start": 789.07, "end": 789.99, "word": " يبقى", "probability": 0.9476318359375}, {"start": 789.99, "end": 790.45, "word": " هذه", "probability": 0.560546875}, {"start": 790.45, "end": 791.13, "word": " جوش", "probability": 0.98388671875}, {"start": 791.13, "end": 791.91, "word": " اليو", "probability": 0.820556640625}, {"start": 791.91, "end": 792.45, "word": " في", "probability": 0.95166015625}, {"start": 792.45, "end": 793.03, "word": " الدي", "probability": 0.5179443359375}, {"start": 793.03, "end": 793.81, "word": " يورو", "probability": 0.68408203125}, {"start": 793.81, "end": 794.05, "word": " على", "probability": 0.81298828125}, {"start": 794.05, "end": 794.35, "word": " دي", "probability": 0.853271484375}, {"start": 794.35, "end": 794.61, "word": " اكس", "probability": 0.9130859375}, {"start": 794.61, "end": 795.13, "word": " نمر", "probability": 0.77734375}, {"start": 795.13, "end": 795.77, "word": " اثنان", "probability": 0.67181396484375}, {"start": 795.77, "end": 796.85, "word": " بدنا", "probability": 0.7744140625}, {"start": 796.85, "end": 797.33, "word": " دي", "probability": 0.96044921875}, {"start": 797.33, "end": 797.83, "word": " على", "probability": 0.6484375}, {"start": 797.83, "end": 798.17, "word": " دي", "probability": 0.967041015625}, {"start": 798.17, "end": 798.65, "word": " اكس", "probability": 0.9744466145833334}, {"start": 798.65, "end": 799.73, "word": " لجوش", "probability": 0.979736328125}, {"start": 799.73, "end": 800.41, "word": " اليو", "probability": 0.963134765625}], "temperature": 1.0}, {"id": 36, "seek": 80775, "start": 801.21, "end": 807.75, "text": "سالب، سالب، سالب، سالب، سالب، سالب، سالب، سالب، سالب، سالب", "tokens": [3794, 6027, 3555, 12399, 8608, 6027, 3555, 12399, 8608, 6027, 3555, 12399, 8608, 6027, 3555, 12399, 8608, 6027, 3555, 12399, 8608, 6027, 3555, 12399, 8608, 6027, 3555, 12399, 8608, 6027, 3555, 12399, 8608, 6027, 3555, 12399, 8608, 6027, 3555], "avg_logprob": -0.32714844569563867, "compression_ratio": 4.6521739130434785, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 801.21, "end": 801.95, "word": "سالب،", "probability": 0.667144775390625}, {"start": 801.95, "end": 802.53, "word": " سالب،", "probability": 0.68914794921875}, {"start": 802.53, "end": 803.33, "word": " سالب،", "probability": 0.73291015625}, {"start": 803.33, "end": 803.95, "word": " سالب،", "probability": 0.78692626953125}, {"start": 803.95, "end": 804.41, "word": " سالب،", "probability": 0.7984619140625}, {"start": 804.41, "end": 804.41, "word": " سالب،", "probability": 0.8631591796875}, {"start": 804.41, "end": 804.41, "word": " سالب،", "probability": 0.901123046875}, {"start": 804.41, "end": 804.91, "word": " سالب،", "probability": 0.9189453125}, {"start": 804.91, "end": 805.73, "word": " سالب،", "probability": 0.9306640625}, {"start": 805.73, "end": 807.75, "word": " سالب", "probability": 0.9798177083333334}], "temperature": 1.0}, {"id": 37, "seek": 83406, "start": 811.82, "end": 834.06, "text": "موجب، يعني مش زي الدول المثلثية، تفاضل قصان بيسالب صين هنا الجوش، فاقلها بيطلع سنش، تمام؟ إذا تفاضل السنش بيجوش و تفاضل الجوش بيسنش طيب، نمر تلاتة، بيبنا دي على DX لتانش ال X يزاوي", "tokens": [2304, 29245, 3555, 12399, 37495, 22653, 37893, 30767, 1829, 32748, 12610, 9673, 12984, 1211, 12984, 10632, 12399, 6055, 5172, 46958, 1211, 12174, 9381, 7649, 4724, 1829, 3794, 6027, 3555, 20328, 9957, 34105, 25724, 2407, 8592, 12399, 6156, 995, 4587, 1211, 11296, 4724, 1829, 9566, 1211, 3615, 8608, 1863, 8592, 12399, 46811, 10943, 22807, 11933, 15730, 6055, 5172, 46958, 1211, 21136, 1863, 8592, 4724, 1829, 7435, 2407, 8592, 4032, 6055, 5172, 46958, 1211, 25724, 2407, 8592, 4724, 1829, 3794, 1863, 8592, 23032, 1829, 3555, 12399, 8717, 29973, 6055, 1211, 9307, 3660, 12399, 4724, 1829, 3555, 8315, 11778, 1829, 15844, 48817, 5296, 2655, 7649, 8592, 2423, 1783, 7251, 11622, 995, 45865], "avg_logprob": -0.2839488541538065, "compression_ratio": 1.7554347826086956, "no_speech_prob": 0.0, "words": [{"start": 811.82, "end": 812.82, "word": "موجب،", "probability": 0.4488525390625}, {"start": 812.82, "end": 813.04, "word": " يعني", "probability": 0.778564453125}, {"start": 813.04, "end": 813.4, "word": " مش", "probability": 0.73681640625}, {"start": 813.4, "end": 813.68, "word": " زي", "probability": 0.96875}, {"start": 813.68, "end": 814.08, "word": " الدول", "probability": 0.959228515625}, {"start": 814.08, "end": 815.12, "word": " المثلثية،", "probability": 0.8601888020833334}, {"start": 815.12, "end": 815.72, "word": " تفاضل", "probability": 0.7789306640625}, {"start": 815.72, "end": 816.14, "word": " قصان", "probability": 0.5120442708333334}, {"start": 816.14, "end": 816.84, "word": " بيسالب", "probability": 0.7052490234375}, {"start": 816.84, "end": 817.22, "word": " صين", "probability": 0.63623046875}, {"start": 817.22, "end": 817.46, "word": " هنا", "probability": 0.7197265625}, {"start": 817.46, "end": 818.5, "word": " الجوش،", "probability": 0.78033447265625}, {"start": 818.5, "end": 818.98, "word": " فاقلها", "probability": 0.7086669921875}, {"start": 818.98, "end": 819.48, "word": " بيطلع", "probability": 0.9787109375}, {"start": 819.48, "end": 820.44, "word": " سنش،", "probability": 0.7379150390625}, {"start": 820.44, "end": 821.44, "word": " تمام؟", "probability": 0.8943684895833334}, {"start": 821.44, "end": 821.64, "word": " إذا", "probability": 0.853271484375}, {"start": 821.64, "end": 822.2, "word": " تفاضل", "probability": 0.9337158203125}, {"start": 822.2, "end": 822.66, "word": " السنش", "probability": 0.9344075520833334}, {"start": 822.66, "end": 823.14, "word": " بيجوش", "probability": 0.851611328125}, {"start": 823.14, "end": 823.26, "word": " و", "probability": 0.325439453125}, {"start": 823.26, "end": 823.74, "word": " تفاضل", "probability": 0.9403076171875}, {"start": 823.74, "end": 824.28, "word": " الجوش", "probability": 0.9703776041666666}, {"start": 824.28, "end": 825.34, "word": " بيسنش", "probability": 0.947265625}, {"start": 825.34, "end": 826.06, "word": " طيب،", "probability": 0.6768798828125}, {"start": 826.06, "end": 826.38, "word": " نمر", "probability": 0.72900390625}, {"start": 826.38, "end": 827.86, "word": " تلاتة،", "probability": 0.85869140625}, {"start": 827.86, "end": 828.3, "word": " بيبنا", "probability": 0.7398681640625}, {"start": 828.3, "end": 828.92, "word": " دي", "probability": 0.60382080078125}, {"start": 828.92, "end": 829.6, "word": " على", "probability": 0.759765625}, {"start": 829.6, "end": 830.4, "word": " DX", "probability": 0.67138671875}, {"start": 830.4, "end": 832.16, "word": " لتانش", "probability": 0.87548828125}, {"start": 832.16, "end": 832.48, "word": " ال", "probability": 0.7626953125}, {"start": 832.48, "end": 832.96, "word": " X", "probability": 0.6220703125}, {"start": 832.96, "end": 834.06, "word": " يزاوي", "probability": 0.789794921875}], "temperature": 1.0}, {"id": 38, "seek": 86150, "start": 835.6, "end": 861.5, "text": "يالا باختصار هيك تانش هي سنش على جوش يالا المقام في مشتقة البص نقص البص في مشتقة المقام على مربع المقام الأصلي علما بإنما جوش square نقص سنش square يساوي واحد صحيح يالا شوف هالي كده بتطلع يالا بسرعة أيوة كده؟ كده يا راجل قوله غير تاج الله", "tokens": [1829, 6027, 995, 4724, 47283, 2655, 9381, 9640, 39896, 4117, 6055, 7649, 8592, 39896, 8608, 1863, 8592, 15844, 10874, 2407, 8592, 7251, 6027, 995, 9673, 4587, 10943, 8978, 37893, 2655, 28671, 29739, 9381, 8717, 4587, 9381, 29739, 9381, 8978, 37893, 2655, 28671, 9673, 4587, 10943, 15844, 3714, 25513, 3615, 9673, 4587, 10943, 16247, 9381, 20292, 11203, 15042, 4724, 28814, 1863, 15042, 10874, 2407, 8592, 3732, 8717, 4587, 9381, 8608, 1863, 8592, 3732, 7251, 3794, 995, 45865, 36764, 24401, 20328, 5016, 1829, 5016, 7251, 6027, 995, 13412, 38688, 8032, 6027, 1829, 9122, 3215, 3224, 39894, 9566, 1211, 3615, 7251, 6027, 995, 4724, 3794, 2288, 27884, 36632, 2407, 3660, 9122, 3215, 3224, 22807, 9122, 3215, 3224, 35186, 12602, 26108, 1211, 12174, 12610, 3224, 32771, 13546, 6055, 26108, 21984], "avg_logprob": -0.24606298485140163, "compression_ratio": 1.9395348837209303, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 835.6, "end": 836.02, "word": "يالا", "probability": 0.468017578125}, {"start": 836.02, "end": 836.7, "word": " باختصار", "probability": 0.94169921875}, {"start": 836.7, "end": 837.16, "word": " هيك", "probability": 0.65966796875}, {"start": 837.16, "end": 837.7, "word": " تانش", "probability": 0.6569010416666666}, {"start": 837.7, "end": 838.2, "word": " هي", "probability": 0.9375}, {"start": 838.2, "end": 839.04, "word": " سنش", "probability": 0.8704427083333334}, {"start": 839.04, "end": 839.28, "word": " على", "probability": 0.7783203125}, {"start": 839.28, "end": 839.82, "word": " جوش", "probability": 0.93017578125}, {"start": 839.82, "end": 840.22, "word": " يالا", "probability": 0.8642578125}, {"start": 840.22, "end": 840.64, "word": " المقام", "probability": 0.9191080729166666}, {"start": 840.64, "end": 840.78, "word": " في", "probability": 0.84619140625}, {"start": 840.78, "end": 841.26, "word": " مشتقة", "probability": 0.719970703125}, {"start": 841.26, "end": 841.6, "word": " البص", "probability": 0.646728515625}, {"start": 841.6, "end": 841.92, "word": " نقص", "probability": 0.7171630859375}, {"start": 841.92, "end": 842.2, "word": " البص", "probability": 0.95068359375}, {"start": 842.2, "end": 842.3, "word": " في", "probability": 0.94580078125}, {"start": 842.3, "end": 842.66, "word": " مشتقة", "probability": 0.97119140625}, {"start": 842.66, "end": 843.46, "word": " المقام", "probability": 0.9938151041666666}, {"start": 843.46, "end": 844.14, "word": " على", "probability": 0.8779296875}, {"start": 844.14, "end": 844.64, "word": " مربع", "probability": 0.87939453125}, {"start": 844.64, "end": 845.18, "word": " المقام", "probability": 0.9947916666666666}, {"start": 845.18, "end": 845.72, "word": " الأصلي", "probability": 0.86767578125}, {"start": 845.72, "end": 846.46, "word": " علما", "probability": 0.85986328125}, {"start": 846.46, "end": 847.56, "word": " بإنما", "probability": 0.66839599609375}, {"start": 847.56, "end": 848.04, "word": " جوش", "probability": 0.776611328125}, {"start": 848.04, "end": 848.42, "word": " square", "probability": 0.3193359375}, {"start": 848.42, "end": 848.84, "word": " نقص", "probability": 0.9161783854166666}, {"start": 848.84, "end": 849.06, "word": " سنش", "probability": 0.9361979166666666}, {"start": 849.06, "end": 849.38, "word": " square", "probability": 0.8779296875}, {"start": 849.38, "end": 850.5, "word": " يساوي", "probability": 0.964111328125}, {"start": 850.5, "end": 851.58, "word": " واحد", "probability": 0.9794921875}, {"start": 851.58, "end": 852.22, "word": " صحيح", "probability": 0.9892578125}, {"start": 852.22, "end": 852.84, "word": " يالا", "probability": 0.93408203125}, {"start": 852.84, "end": 853.08, "word": " شوف", "probability": 0.945556640625}, {"start": 853.08, "end": 853.32, "word": " هالي", "probability": 0.6297200520833334}, {"start": 853.32, "end": 853.58, "word": " كده", "probability": 0.6815592447916666}, {"start": 853.58, "end": 854.82, "word": " بتطلع", "probability": 0.88916015625}, {"start": 854.82, "end": 855.62, "word": " يالا", "probability": 0.8736979166666666}, {"start": 855.62, "end": 856.04, "word": " بسرعة", "probability": 0.9365234375}, {"start": 856.04, "end": 856.78, "word": " أيوة", "probability": 0.647705078125}, {"start": 856.78, "end": 859.02, "word": " كده؟", "probability": 0.7879638671875}, {"start": 859.02, "end": 859.4, "word": " كده", "probability": 0.791259765625}, {"start": 859.4, "end": 859.74, "word": " يا", "probability": 0.53076171875}, {"start": 859.74, "end": 860.08, "word": " راجل", "probability": 0.63037109375}, {"start": 860.08, "end": 860.32, "word": " قوله", "probability": 0.6803385416666666}, {"start": 860.32, "end": 860.74, "word": " غير", "probability": 0.874267578125}, {"start": 860.74, "end": 861.1, "word": " تاج", "probability": 0.599365234375}, {"start": 861.1, "end": 861.5, "word": " الله", "probability": 0.94921875}], "temperature": 1.0}, {"id": 39, "seek": 89090, "start": 863.66, "end": 890.9, "text": "بطلع واحد على جوش square صح ولا لأ؟ واحد على جوش square يومين سيش square إذا انت فاضل تنش بسيش square U في DU على DX الرابع بدنا D على DX ل potential U potential U و U الساوي", "tokens": [3555, 9566, 1211, 3615, 36764, 24401, 15844, 10874, 2407, 8592, 3732, 20328, 5016, 49429, 5296, 10721, 22807, 36764, 24401, 15844, 10874, 2407, 8592, 3732, 7251, 20498, 9957, 8608, 1829, 8592, 3732, 11933, 15730, 16472, 2655, 6156, 46958, 1211, 6055, 1863, 8592, 4724, 3794, 1829, 8592, 3732, 624, 8978, 28423, 15844, 48817, 34892, 16758, 3615, 47525, 8315, 413, 15844, 48817, 5296, 3995, 624, 3995, 624, 4032, 624, 21136, 995, 45865], "avg_logprob": -0.3258928528853825, "compression_ratio": 1.6265822784810127, "no_speech_prob": 0.0, "words": [{"start": 863.66, "end": 864.28, "word": "بطلع", "probability": 0.623199462890625}, {"start": 864.28, "end": 864.8, "word": " واحد", "probability": 0.910888671875}, {"start": 864.8, "end": 864.98, "word": " على", "probability": 0.7353515625}, {"start": 864.98, "end": 865.34, "word": " جوش", "probability": 0.6575520833333334}, {"start": 865.34, "end": 865.82, "word": " square", "probability": 0.51220703125}, {"start": 865.82, "end": 866.48, "word": " صح", "probability": 0.7423095703125}, {"start": 866.48, "end": 866.68, "word": " ولا", "probability": 0.85400390625}, {"start": 866.68, "end": 867.14, "word": " لأ؟", "probability": 0.7628580729166666}, {"start": 867.14, "end": 868.36, "word": " واحد", "probability": 0.922607421875}, {"start": 868.36, "end": 868.54, "word": " على", "probability": 0.869140625}, {"start": 868.54, "end": 868.82, "word": " جوش", "probability": 0.9944661458333334}, {"start": 868.82, "end": 869.32, "word": " square", "probability": 0.8583984375}, {"start": 869.32, "end": 870.0, "word": " يومين", "probability": 0.9013671875}, {"start": 870.0, "end": 870.56, "word": " سيش", "probability": 0.6776123046875}, {"start": 870.56, "end": 871.3, "word": " square", "probability": 0.6259765625}, {"start": 871.3, "end": 871.88, "word": " إذا", "probability": 0.78466796875}, {"start": 871.88, "end": 872.1, "word": " انت", "probability": 0.8935546875}, {"start": 872.1, "end": 872.54, "word": " فاضل", "probability": 0.8076171875}, {"start": 872.54, "end": 873.36, "word": " تنش", "probability": 0.720703125}, {"start": 873.36, "end": 874.58, "word": " بسيش", "probability": 0.881103515625}, {"start": 874.58, "end": 876.16, "word": " square", "probability": 0.7509765625}, {"start": 876.16, "end": 876.72, "word": " U", "probability": 0.356201171875}, {"start": 876.72, "end": 877.12, "word": " في", "probability": 0.68310546875}, {"start": 877.12, "end": 877.86, "word": " DU", "probability": 0.2958984375}, {"start": 877.86, "end": 878.5, "word": " على", "probability": 0.80712890625}, {"start": 878.5, "end": 879.08, "word": " DX", "probability": 0.984375}, {"start": 879.08, "end": 880.58, "word": " الرابع", "probability": 0.94775390625}, {"start": 880.58, "end": 881.48, "word": " بدنا", "probability": 0.691162109375}, {"start": 881.48, "end": 881.94, "word": " D", "probability": 0.5556640625}, {"start": 881.94, "end": 882.72, "word": " على", "probability": 0.91259765625}, {"start": 882.72, "end": 883.46, "word": " DX", "probability": 0.99365234375}, {"start": 883.46, "end": 884.2, "word": " ل", "probability": 0.92529296875}, {"start": 884.2, "end": 885.24, "word": " potential", "probability": 0.5439453125}, {"start": 885.24, "end": 886.16, "word": " U", "probability": 0.98046875}, {"start": 886.16, "end": 886.52, "word": " potential", "probability": 0.237548828125}, {"start": 886.52, "end": 889.98, "word": " U", "probability": 0.98291015625}, {"start": 889.98, "end": 890.14, "word": " و", "probability": 0.47802734375}, {"start": 890.14, "end": 890.32, "word": " U", "probability": 0.7138671875}, {"start": 890.32, "end": 890.9, "word": " الساوي", "probability": 0.6769205729166666}], "temperature": 1.0}, {"id": 40, "seek": 91855, "start": 892.53, "end": 918.55, "text": "نفس الطريقة جوش فوق وجوش انش تحت يبقى سالب كسش square U في الـ Du على DX ننتقل الآن إلى النقطة الخامسة بدنا D على DX لمين؟ لسش الـU ويساوي تفاضل السك بجدش", "tokens": [1863, 36178, 41950, 16572, 28671, 10874, 2407, 8592, 6156, 30543, 49610, 2407, 8592, 16472, 8592, 6055, 33753, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 9122, 3794, 8592, 3732, 624, 8978, 2423, 39184, 5153, 15844, 48817, 8717, 29399, 4587, 1211, 6024, 48506, 30731, 28239, 47432, 3660, 33962, 10943, 3794, 3660, 47525, 8315, 413, 15844, 48817, 32767, 9957, 22807, 5296, 3794, 8592, 2423, 39184, 52, 4032, 1829, 3794, 995, 45865, 6055, 5172, 46958, 1211, 21136, 4117, 4724, 7435, 3215, 8592], "avg_logprob": -0.3024129709110984, "compression_ratio": 1.4745762711864407, "no_speech_prob": 0.0, "words": [{"start": 892.53, "end": 892.97, "word": "نفس", "probability": 0.83349609375}, {"start": 892.97, "end": 893.65, "word": " الطريقة", "probability": 0.9930013020833334}, {"start": 893.65, "end": 894.25, "word": " جوش", "probability": 0.5798746744791666}, {"start": 894.25, "end": 894.59, "word": " فوق", "probability": 0.91943359375}, {"start": 894.59, "end": 894.81, "word": " وجوش", "probability": 0.8133138020833334}, {"start": 894.81, "end": 895.17, "word": " انش", "probability": 0.50384521484375}, {"start": 895.17, "end": 895.47, "word": " تحت", "probability": 0.949951171875}, {"start": 895.47, "end": 897.21, "word": " يبقى", "probability": 0.903076171875}, {"start": 897.21, "end": 898.43, "word": " سالب", "probability": 0.7421875}, {"start": 898.43, "end": 899.43, "word": " كسش", "probability": 0.6239420572916666}, {"start": 899.43, "end": 900.45, "word": " square", "probability": 0.48779296875}, {"start": 900.45, "end": 901.33, "word": " U", "probability": 0.62109375}, {"start": 901.33, "end": 901.69, "word": " في", "probability": 0.7294921875}, {"start": 901.69, "end": 902.07, "word": " الـ", "probability": 0.698486328125}, {"start": 902.07, "end": 902.53, "word": " Du", "probability": 0.1971435546875}, {"start": 902.53, "end": 903.61, "word": " على", "probability": 0.70751953125}, {"start": 903.61, "end": 904.25, "word": " DX", "probability": 0.76513671875}, {"start": 904.25, "end": 905.53, "word": " ننتقل", "probability": 0.8609619140625}, {"start": 905.53, "end": 906.09, "word": " الآن", "probability": 0.7039794921875}, {"start": 906.09, "end": 906.75, "word": " إلى", "probability": 0.6455078125}, {"start": 906.75, "end": 907.43, "word": " النقطة", "probability": 0.7814127604166666}, {"start": 907.43, "end": 908.53, "word": " الخامسة", "probability": 0.9912109375}, {"start": 908.53, "end": 909.37, "word": " بدنا", "probability": 0.7283935546875}, {"start": 909.37, "end": 909.81, "word": " D", "probability": 0.6015625}, {"start": 909.81, "end": 910.59, "word": " على", "probability": 0.8974609375}, {"start": 910.59, "end": 911.43, "word": " DX", "probability": 0.990234375}, {"start": 911.43, "end": 912.71, "word": " لمين؟", "probability": 0.8414713541666666}, {"start": 912.71, "end": 913.49, "word": " لسش", "probability": 0.97998046875}, {"start": 913.49, "end": 914.47, "word": " الـU", "probability": 0.7814127604166666}, {"start": 914.47, "end": 915.95, "word": " ويساوي", "probability": 0.829296875}, {"start": 915.95, "end": 917.07, "word": " تفاضل", "probability": 0.7899169921875}, {"start": 917.07, "end": 917.47, "word": " السك", "probability": 0.75732421875}, {"start": 917.47, "end": 918.55, "word": " بجدش", "probability": 0.62213134765625}], "temperature": 1.0}, {"id": 41, "seek": 94776, "start": 918.84, "end": 947.76, "text": "سك X في تم ال X بس هذه السش بسالب سش تانش يبقى هذه سالب سش ال X في تانش سش ال U سش ال U في تانش ال U في DU على DX أخر حاجة نمره 6D على DX لكو سش ال U سالب كو سش ال U كو تانش", "tokens": [3794, 4117, 1783, 8978, 46811, 2423, 1783, 4724, 3794, 29538, 21136, 8592, 4724, 3794, 6027, 3555, 8608, 8592, 6055, 7649, 8592, 7251, 3555, 4587, 7578, 29538, 8608, 6027, 3555, 8608, 8592, 2423, 1783, 8978, 6055, 7649, 8592, 8608, 8592, 2423, 624, 8608, 8592, 2423, 624, 8978, 6055, 7649, 8592, 2423, 624, 8978, 28423, 15844, 48817, 5551, 34740, 11331, 26108, 3660, 8717, 29973, 3224, 1386, 35, 15844, 48817, 5296, 4117, 2407, 8608, 8592, 2423, 624, 8608, 6027, 3555, 9122, 2407, 8608, 8592, 2423, 624, 9122, 2407, 6055, 7649, 8592], "avg_logprob": -0.18802669209040954, "compression_ratio": 2.074074074074074, "no_speech_prob": 0.0, "words": [{"start": 918.84, "end": 919.48, "word": "سك", "probability": 0.5245361328125}, {"start": 919.48, "end": 919.9, "word": " X", "probability": 0.81591796875}, {"start": 919.9, "end": 920.12, "word": " في", "probability": 0.73974609375}, {"start": 920.12, "end": 920.36, "word": " تم", "probability": 0.388916015625}, {"start": 920.36, "end": 920.52, "word": " ال", "probability": 0.359619140625}, {"start": 920.52, "end": 920.7, "word": " X", "probability": 0.9296875}, {"start": 920.7, "end": 921.02, "word": " بس", "probability": 0.862060546875}, {"start": 921.02, "end": 921.32, "word": " هذه", "probability": 0.452392578125}, {"start": 921.32, "end": 921.86, "word": " السش", "probability": 0.628173828125}, {"start": 921.86, "end": 923.3, "word": " بسالب", "probability": 0.7366943359375}, {"start": 923.3, "end": 923.88, "word": " سش", "probability": 0.94873046875}, {"start": 923.88, "end": 924.86, "word": " تانش", "probability": 0.8509114583333334}, {"start": 924.86, "end": 926.0, "word": " يبقى", "probability": 0.928955078125}, {"start": 926.0, "end": 926.56, "word": " هذه", "probability": 0.8916015625}, {"start": 926.56, "end": 927.64, "word": " سالب", "probability": 0.9658203125}, {"start": 927.64, "end": 928.66, "word": " سش", "probability": 0.980224609375}, {"start": 928.66, "end": 929.02, "word": " ال", "probability": 0.505859375}, {"start": 929.02, "end": 929.48, "word": " X", "probability": 0.9853515625}, {"start": 929.48, "end": 930.2, "word": " في", "probability": 0.814453125}, {"start": 930.2, "end": 931.08, "word": " تانش", "probability": 0.8567708333333334}, {"start": 931.08, "end": 931.8, "word": " سش", "probability": 0.7978515625}, {"start": 931.8, "end": 932.06, "word": " ال", "probability": 0.82861328125}, {"start": 932.06, "end": 932.26, "word": " U", "probability": 0.97900390625}, {"start": 932.26, "end": 933.18, "word": " سش", "probability": 0.94287109375}, {"start": 933.18, "end": 933.44, "word": " ال", "probability": 0.96435546875}, {"start": 933.44, "end": 933.72, "word": " U", "probability": 0.99658203125}, {"start": 933.72, "end": 934.02, "word": " في", "probability": 0.9462890625}, {"start": 934.02, "end": 934.54, "word": " تانش", "probability": 0.98583984375}, {"start": 934.54, "end": 934.82, "word": " ال", "probability": 0.98681640625}, {"start": 934.82, "end": 935.14, "word": " U", "probability": 0.994140625}, {"start": 935.14, "end": 935.4, "word": " في", "probability": 0.93359375}, {"start": 935.4, "end": 935.92, "word": " DU", "probability": 0.405517578125}, {"start": 935.92, "end": 936.56, "word": " على", "probability": 0.76611328125}, {"start": 936.56, "end": 937.1, "word": " DX", "probability": 0.9970703125}, {"start": 937.1, "end": 938.22, "word": " أخر", "probability": 0.7330322265625}, {"start": 938.22, "end": 938.64, "word": " حاجة", "probability": 0.9918619791666666}, {"start": 938.64, "end": 939.1, "word": " نمره", "probability": 0.6407877604166666}, {"start": 939.1, "end": 940.12, "word": " 6D", "probability": 0.85546875}, {"start": 940.12, "end": 941.04, "word": " على", "probability": 0.79345703125}, {"start": 941.04, "end": 941.82, "word": " DX", "probability": 0.99755859375}, {"start": 941.82, "end": 942.42, "word": " لكو", "probability": 0.7815755208333334}, {"start": 942.42, "end": 942.82, "word": " سش", "probability": 0.907958984375}, {"start": 942.82, "end": 943.12, "word": " ال", "probability": 0.9140625}, {"start": 943.12, "end": 943.44, "word": " U", "probability": 0.9921875}, {"start": 943.44, "end": 944.58, "word": " سالب", "probability": 0.9837239583333334}, {"start": 944.58, "end": 944.98, "word": " كو", "probability": 0.874267578125}, {"start": 944.98, "end": 945.4, "word": " سش", "probability": 0.95166015625}, {"start": 945.4, "end": 945.8, "word": " ال", "probability": 0.98681640625}, {"start": 945.8, "end": 946.2, "word": " U", "probability": 0.9931640625}, {"start": 946.2, "end": 946.98, "word": " كو", "probability": 0.878662109375}, {"start": 946.98, "end": 947.76, "word": " تانش", "probability": 0.9900716145833334}], "temperature": 1.0}, {"id": 42, "seek": 96969, "start": 961.27, "end": 969.69, "text": "أول تلاتة بالموجب وتاني تلاتة بالسالب موجب موجب موجب سالب سالب سالب", "tokens": [10721, 12610, 6055, 1211, 9307, 3660, 20666, 2304, 29245, 3555, 34683, 7649, 1829, 6055, 1211, 9307, 3660, 20666, 3794, 6027, 3555, 3714, 29245, 3555, 3714, 29245, 3555, 3714, 29245, 3555, 8608, 6027, 3555, 8608, 6027, 3555, 8608, 6027, 3555], "avg_logprob": -0.2259765576571226, "compression_ratio": 1.835820895522388, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 961.2700000000001, "end": 962.3100000000001, "word": "أول", "probability": 0.37744140625}, {"start": 962.3100000000001, "end": 963.35, "word": " تلاتة", "probability": 0.8934326171875}, {"start": 963.35, "end": 963.93, "word": " بالموجب", "probability": 0.9556884765625}, {"start": 963.93, "end": 964.39, "word": " وتاني", "probability": 0.6155598958333334}, {"start": 964.39, "end": 965.19, "word": " تلاتة", "probability": 0.9844970703125}, {"start": 965.19, "end": 966.73, "word": " بالسالب", "probability": 0.914306640625}, {"start": 966.73, "end": 967.47, "word": " موجب", "probability": 0.8106282552083334}, {"start": 967.47, "end": 967.93, "word": " موجب", "probability": 0.97412109375}, {"start": 967.93, "end": 968.39, "word": " موجب", "probability": 0.9690755208333334}, {"start": 968.39, "end": 968.81, "word": " سالب", "probability": 0.90673828125}, {"start": 968.81, "end": 969.25, "word": " سالب", "probability": 0.9921875}, {"start": 969.25, "end": 969.69, "word": " سالب", "probability": 0.9378255208333334}], "temperature": 1.0}, {"id": 43, "seek": 99718, "start": 983.68, "end": 997.18, "text": "بترجع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع الاصطناع", "tokens": [3555, 2655, 47341, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615, 2423, 33546, 9566, 8315, 3615], "avg_logprob": -0.0825694465637207, "compression_ratio": 18.48780487804878, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 983.68, "end": 984.06, "word": "بترجع", "probability": 0.5852127075195312}, {"start": 984.06, "end": 984.64, "word": " الاصطناع", "probability": 0.628369140625}, {"start": 984.64, "end": 985.18, "word": " الاصطناع", "probability": 0.785693359375}, {"start": 985.18, "end": 985.72, "word": " الاصطناع", "probability": 0.787353515625}, {"start": 985.72, "end": 986.48, "word": " الاصطناع", "probability": 0.85419921875}, {"start": 986.48, "end": 986.78, "word": " الاصطناع", "probability": 0.87626953125}, {"start": 986.78, "end": 986.8, "word": " الاصطناع", "probability": 0.92353515625}, {"start": 986.8, "end": 986.84, "word": " الاصطناع", "probability": 0.9548828125}, {"start": 986.84, "end": 986.84, "word": " الاصطناع", "probability": 0.96748046875}, {"start": 986.84, "end": 986.84, "word": " الاصطناع", "probability": 0.97314453125}, {"start": 986.84, "end": 986.84, "word": " الاصطناع", "probability": 0.97568359375}, {"start": 986.84, "end": 986.86, "word": " الاصطناع", "probability": 0.97685546875}, {"start": 986.86, "end": 987.32, "word": " الاصطناع", "probability": 0.977734375}, {"start": 987.32, "end": 988.04, "word": " الاصطناع", "probability": 0.9787109375}, {"start": 988.04, "end": 988.34, "word": " الاصطناع", "probability": 0.97939453125}, {"start": 988.34, "end": 988.84, "word": " الاصطناع", "probability": 0.9798828125}, {"start": 988.84, "end": 988.84, "word": " الاصطناع", "probability": 0.9802734375}, {"start": 988.84, "end": 990.12, "word": " الاصطناع", "probability": 0.98037109375}, {"start": 990.12, "end": 990.84, "word": " الاصطناع", "probability": 0.9810546875}, {"start": 990.84, "end": 991.84, "word": " الاصطناع", "probability": 0.9810546875}, {"start": 991.84, "end": 992.0, "word": " الاصطناع", "probability": 0.98134765625}, {"start": 992.0, "end": 992.62, "word": " الاصطناع", "probability": 0.98115234375}, {"start": 992.62, "end": 993.18, "word": " الاصطناع", "probability": 0.98134765625}, {"start": 993.18, "end": 994.14, "word": " الاصطناع", "probability": 0.98125}, {"start": 994.14, "end": 994.14, "word": " الاصطناع", "probability": 0.98125}, {"start": 994.14, "end": 994.14, "word": " الاصطناع", "probability": 0.9814453125}, {"start": 994.14, "end": 994.14, "word": " الاصطناع", "probability": 0.98115234375}, {"start": 994.14, "end": 994.14, "word": " الاصطناع", "probability": 0.980859375}, {"start": 994.14, "end": 994.16, "word": " الاصطناع", "probability": 0.9810546875}, {"start": 994.16, "end": 994.16, "word": " الاصطناع", "probability": 0.980859375}, {"start": 994.16, "end": 994.16, "word": " الاصطناع", "probability": 0.980859375}, {"start": 994.16, "end": 994.16, "word": " الاصطناع", "probability": 0.98076171875}, {"start": 994.16, "end": 994.16, "word": " الاصطناع", "probability": 0.9802734375}, {"start": 994.16, "end": 994.16, "word": " الاصطناع", "probability": 0.979296875}, {"start": 994.16, "end": 994.16, "word": " الاصطناع", "probability": 0.9791015625}, {"start": 994.16, "end": 994.5, "word": " الاصطناع", "probability": 0.978515625}, {"start": 994.5, "end": 994.5, "word": " الاصطناع", "probability": 0.97744140625}, {"start": 994.5, "end": 994.5, "word": " الاصطناع", "probability": 0.97626953125}, {"start": 994.5, "end": 995.02, "word": " الاصطناع", "probability": 0.975390625}, {"start": 995.02, "end": 995.5, "word": " الاصطناع", "probability": 0.97421875}, {"start": 995.5, "end": 995.68, "word": " الاصطناع", "probability": 0.97197265625}, {"start": 995.68, "end": 995.68, "word": " الاصطناع", "probability": 0.97099609375}, {"start": 995.68, "end": 995.68, "word": " الاصطناع", "probability": 0.96923828125}, {"start": 995.68, "end": 996.54, "word": " الاصطناع", "probability": 0.9677734375}, {"start": 996.54, "end": 997.18, "word": " الاصطناع", "probability": 0.96953125}], "temperature": 1.0}, {"id": 44, "seek": 103043, "start": 1000.99, "end": 1030.43, "text": "لأ لأ مش السنش بتقول E أُس X ناقص E أُس ناقص X على اتنين بده اشيل X وحط مكانه سالب X يعني هو بيصير E أُس سالب X ناقص E أُس X على اتنين خد إشارة سلب برا بيصير E أُس X ناقص E أُس ناقص X على اتنين يعني سالب سنش ال X يعني أصبح F أُس سالب X يساوي سالب F أُس X it is an odd function", "tokens": [1211, 10721, 5296, 10721, 37893, 21136, 1863, 8592, 39894, 39648, 462, 5551, 10859, 3794, 1783, 8717, 995, 4587, 9381, 462, 5551, 10859, 3794, 8717, 995, 4587, 9381, 1783, 15844, 1975, 2655, 1863, 9957, 47525, 3224, 1975, 8592, 26895, 1783, 4032, 5016, 9566, 3714, 41361, 3224, 8608, 6027, 3555, 1783, 37495, 22653, 31439, 4724, 1829, 9381, 13546, 462, 5551, 10859, 3794, 8608, 6027, 3555, 1783, 8717, 995, 4587, 9381, 462, 5551, 10859, 3794, 1783, 15844, 1975, 2655, 1863, 9957, 16490, 3215, 11933, 8592, 9640, 3660, 8608, 46152, 4724, 23557, 4724, 1829, 9381, 13546, 462, 5551, 10859, 3794, 1783, 8717, 995, 4587, 9381, 462, 5551, 10859, 3794, 8717, 995, 4587, 9381, 1783, 15844, 1975, 2655, 1863, 9957, 37495, 22653, 8608, 6027, 3555, 8608, 1863, 8592, 2423, 1783, 37495, 22653, 5551, 9381, 49628, 479, 5551, 10859, 3794, 8608, 6027, 3555, 1783, 7251, 3794, 995, 45865, 8608, 6027, 3555, 479, 5551, 10859, 3794, 1783, 309, 307, 364, 7401, 2445], "avg_logprob": -0.19971955328797683, "compression_ratio": 2.1970443349753697, "no_speech_prob": 0.0, "words": [{"start": 1000.99, "end": 1001.37, "word": "لأ", "probability": 0.490814208984375}, {"start": 1001.37, "end": 1001.71, "word": " لأ", "probability": 0.863525390625}, {"start": 1001.71, "end": 1001.99, "word": " مش", "probability": 0.357177734375}, {"start": 1001.99, "end": 1002.47, "word": " السنش", "probability": 0.6206461588541666}, {"start": 1002.47, "end": 1003.13, "word": " بتقول", "probability": 0.823486328125}, {"start": 1003.13, "end": 1004.43, "word": " E", "probability": 0.45458984375}, {"start": 1004.43, "end": 1004.73, "word": " أُس", "probability": 0.4808756510416667}, {"start": 1004.73, "end": 1005.01, "word": " X", "probability": 0.58251953125}, {"start": 1005.01, "end": 1005.51, "word": " ناقص", "probability": 0.7886962890625}, {"start": 1005.51, "end": 1005.65, "word": " E", "probability": 0.90673828125}, {"start": 1005.65, "end": 1005.83, "word": " أُس", "probability": 0.9122721354166666}, {"start": 1005.83, "end": 1006.19, "word": " ناقص", "probability": 0.9373779296875}, {"start": 1006.19, "end": 1006.37, "word": " X", "probability": 0.98388671875}, {"start": 1006.37, "end": 1006.61, "word": " على", "probability": 0.67724609375}, {"start": 1006.61, "end": 1006.99, "word": " اتنين", "probability": 0.82611083984375}, {"start": 1006.99, "end": 1007.51, "word": " بده", "probability": 0.5255126953125}, {"start": 1007.51, "end": 1007.71, "word": " اشيل", "probability": 0.7854817708333334}, {"start": 1007.71, "end": 1007.97, "word": " X", "probability": 0.9345703125}, {"start": 1007.97, "end": 1008.37, "word": " وحط", "probability": 0.7631022135416666}, {"start": 1008.37, "end": 1009.11, "word": " مكانه", "probability": 0.8346354166666666}, {"start": 1009.11, "end": 1010.03, "word": " سالب", "probability": 0.806640625}, {"start": 1010.03, "end": 1010.29, "word": " X", "probability": 0.9833984375}, {"start": 1010.29, "end": 1010.75, "word": " يعني", "probability": 0.7188720703125}, {"start": 1010.75, "end": 1010.83, "word": " هو", "probability": 0.223388671875}, {"start": 1010.83, "end": 1011.07, "word": " بيصير", "probability": 0.850341796875}, {"start": 1011.07, "end": 1011.37, "word": " E", "probability": 0.95654296875}, {"start": 1011.37, "end": 1011.79, "word": " أُس", "probability": 0.9542643229166666}, {"start": 1011.79, "end": 1012.25, "word": " سالب", "probability": 0.9345703125}, {"start": 1012.25, "end": 1012.59, "word": " X", "probability": 0.9931640625}, {"start": 1012.59, "end": 1013.29, "word": " ناقص", "probability": 0.9935302734375}, {"start": 1013.29, "end": 1013.73, "word": " E", "probability": 0.9912109375}, {"start": 1013.73, "end": 1014.17, "word": " أُس", "probability": 0.9869791666666666}, {"start": 1014.17, "end": 1014.71, "word": " X", "probability": 0.99560546875}, {"start": 1014.71, "end": 1015.33, "word": " على", "probability": 0.908203125}, {"start": 1015.33, "end": 1015.79, "word": " اتنين", "probability": 0.9796142578125}, {"start": 1015.79, "end": 1016.57, "word": " خد", "probability": 0.769287109375}, {"start": 1016.57, "end": 1017.07, "word": " إشارة", "probability": 0.778564453125}, {"start": 1017.07, "end": 1017.43, "word": " سلب", "probability": 0.905029296875}, {"start": 1017.43, "end": 1017.85, "word": " برا", "probability": 0.935302734375}, {"start": 1017.85, "end": 1018.23, "word": " بيصير", "probability": 0.90380859375}, {"start": 1018.23, "end": 1018.51, "word": " E", "probability": 0.98291015625}, {"start": 1018.51, "end": 1018.81, "word": " أُس", "probability": 0.9544270833333334}, {"start": 1018.81, "end": 1019.11, "word": " X", "probability": 0.97314453125}, {"start": 1019.11, "end": 1019.51, "word": " ناقص", "probability": 0.9930419921875}, {"start": 1019.51, "end": 1019.67, "word": " E", "probability": 0.98046875}, {"start": 1019.67, "end": 1019.79, "word": " أُس", "probability": 0.9599609375}, {"start": 1019.79, "end": 1020.09, "word": " ناقص", "probability": 0.98291015625}, {"start": 1020.09, "end": 1020.25, "word": " X", "probability": 0.9921875}, {"start": 1020.25, "end": 1020.41, "word": " على", "probability": 0.88134765625}, {"start": 1020.41, "end": 1020.49, "word": " اتنين", "probability": 0.969482421875}, {"start": 1020.49, "end": 1021.05, "word": " يعني", "probability": 0.956787109375}, {"start": 1021.05, "end": 1021.91, "word": " سالب", "probability": 0.9671223958333334}, {"start": 1021.91, "end": 1022.35, "word": " سنش", "probability": 0.97412109375}, {"start": 1022.35, "end": 1022.55, "word": " ال", "probability": 0.521484375}, {"start": 1022.55, "end": 1022.81, "word": " X", "probability": 0.79296875}, {"start": 1022.81, "end": 1023.49, "word": " يعني", "probability": 0.959228515625}, {"start": 1023.49, "end": 1023.99, "word": " أصبح", "probability": 0.9176432291666666}, {"start": 1023.99, "end": 1024.39, "word": " F", "probability": 0.9189453125}, {"start": 1024.39, "end": 1024.73, "word": " أُس", "probability": 0.6437174479166666}, {"start": 1024.73, "end": 1025.23, "word": " سالب", "probability": 0.9817708333333334}, {"start": 1025.23, "end": 1025.67, "word": " X", "probability": 0.9970703125}, {"start": 1025.67, "end": 1026.57, "word": " يساوي", "probability": 0.9576416015625}, {"start": 1026.57, "end": 1027.27, "word": " سالب", "probability": 0.8375651041666666}, {"start": 1027.27, "end": 1027.59, "word": " F", "probability": 0.98779296875}, {"start": 1027.59, "end": 1027.85, "word": " أُس", "probability": 0.9700520833333334}, {"start": 1027.85, "end": 1028.13, "word": " X", "probability": 0.962890625}, {"start": 1028.13, "end": 1028.53, "word": " it", "probability": 0.6015625}, {"start": 1028.53, "end": 1028.87, "word": " is", "probability": 0.94921875}, {"start": 1028.87, "end": 1029.39, "word": " an", "probability": 0.892578125}, {"start": 1029.39, "end": 1029.75, "word": " odd", "probability": 0.88818359375}, {"start": 1029.75, "end": 1030.43, "word": " function", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 45, "seek": 105790, "start": 1030.74, "end": 1057.9, "text": "مظبوط ولا لا؟ اتلخبط من ال session. يا زماده خلاص هو اتلخبطون عدل يعني، هو غلط فيه، هو غلط في المصحف. خلاص ليه؟ خلاص، خلاص. الواحد يسأل امليه قال ولم تؤمن قال بلى، ولكن ليطمئن قلبي، حابب اتأكد، وهذا حصل مع نبينا إبراهيم عليه السلام مع الله سبحانه وتعالى. والراجل يا عزيزي لما نيسأل سؤاله ونجاوب عليه.", "tokens": [2304, 19913, 3555, 2407, 9566, 49429, 20193, 22807, 1975, 2655, 1211, 9778, 3555, 9566, 9154, 2423, 5481, 13, 35186, 30767, 15042, 3215, 3224, 16490, 1211, 33546, 31439, 1975, 2655, 1211, 9778, 3555, 9566, 11536, 6225, 3215, 1211, 37495, 22653, 12399, 31439, 32771, 1211, 9566, 8978, 3224, 12399, 31439, 32771, 1211, 9566, 8978, 9673, 9381, 5016, 5172, 13, 16490, 1211, 33546, 32239, 3224, 22807, 16490, 1211, 33546, 12399, 16490, 1211, 33546, 13, 2423, 14407, 24401, 7251, 3794, 10721, 1211, 1975, 2304, 20292, 3224, 50239, 4032, 19528, 6055, 33604, 27842, 50239, 4724, 23942, 12399, 35525, 19452, 32239, 9566, 2304, 19986, 1863, 12174, 1211, 21292, 12399, 11331, 16758, 3555, 1975, 2655, 10721, 4117, 3215, 12399, 4032, 3224, 15730, 11331, 36520, 20449, 8717, 21292, 8315, 11933, 3555, 23557, 3224, 32640, 47356, 21136, 37440, 20449, 21984, 8608, 49628, 7649, 3224, 34683, 3615, 6027, 7578, 13, 4032, 6027, 2288, 26108, 1211, 35186, 6225, 11622, 1829, 11622, 1829, 5296, 15042, 8717, 1829, 3794, 10721, 1211, 8608, 33604, 6027, 3224, 4032, 1863, 7435, 995, 37746, 47356, 13], "avg_logprob": -0.26911763899466573, "compression_ratio": 1.8865248226950355, "no_speech_prob": 0.0, "words": [{"start": 1030.74, "end": 1031.22, "word": "مظبوط", "probability": 0.7283203125}, {"start": 1031.22, "end": 1031.36, "word": " ولا", "probability": 0.64208984375}, {"start": 1031.36, "end": 1031.76, "word": " لا؟", "probability": 0.90185546875}, {"start": 1031.76, "end": 1032.06, "word": " اتلخبط", "probability": 0.7662760416666666}, {"start": 1032.06, "end": 1032.22, "word": " من", "probability": 0.75390625}, {"start": 1032.22, "end": 1032.4, "word": " ال", "probability": 0.79248046875}, {"start": 1032.4, "end": 1032.6, "word": " session.", "probability": 0.5791015625}, {"start": 1032.64, "end": 1032.82, "word": " يا", "probability": 0.74609375}, {"start": 1032.82, "end": 1033.2, "word": " زماده", "probability": 0.459014892578125}, {"start": 1033.2, "end": 1033.58, "word": " خلاص", "probability": 0.8333333333333334}, {"start": 1033.58, "end": 1033.72, "word": " هو", "probability": 0.291015625}, {"start": 1033.72, "end": 1034.34, "word": " اتلخبطون", "probability": 0.876953125}, {"start": 1034.34, "end": 1034.68, "word": " عدل", "probability": 0.80908203125}, {"start": 1034.68, "end": 1035.0, "word": " يعني،", "probability": 0.6688639322916666}, {"start": 1035.0, "end": 1035.16, "word": " هو", "probability": 0.93359375}, {"start": 1035.16, "end": 1035.64, "word": " غلط", "probability": 0.9879557291666666}, {"start": 1035.64, "end": 1035.98, "word": " فيه،", "probability": 0.6573079427083334}, {"start": 1035.98, "end": 1036.06, "word": " هو", "probability": 0.7724609375}, {"start": 1036.06, "end": 1036.3, "word": " غلط", "probability": 0.9886067708333334}, {"start": 1036.3, "end": 1036.42, "word": " في", "probability": 0.70947265625}, {"start": 1036.42, "end": 1036.84, "word": " المصحف.", "probability": 0.731689453125}, {"start": 1037.76, "end": 1038.56, "word": " خلاص", "probability": 0.771484375}, {"start": 1038.56, "end": 1039.12, "word": " ليه؟", "probability": 0.7067057291666666}, {"start": 1039.12, "end": 1040.04, "word": " خلاص،", "probability": 0.888671875}, {"start": 1040.04, "end": 1040.56, "word": " خلاص.", "probability": 0.978515625}, {"start": 1041.04, "end": 1041.66, "word": " الواحد", "probability": 0.9469401041666666}, {"start": 1041.66, "end": 1041.96, "word": " يسأل", "probability": 0.9466552734375}, {"start": 1041.96, "end": 1042.5, "word": " امليه", "probability": 0.602020263671875}, {"start": 1042.5, "end": 1042.84, "word": " قال", "probability": 0.638671875}, {"start": 1042.84, "end": 1043.28, "word": " ولم", "probability": 0.742919921875}, {"start": 1043.28, "end": 1043.8, "word": " تؤمن", "probability": 0.9908854166666666}, {"start": 1043.8, "end": 1044.24, "word": " قال", "probability": 0.59033203125}, {"start": 1044.24, "end": 1045.26, "word": " بلى،", "probability": 0.7586263020833334}, {"start": 1045.26, "end": 1045.72, "word": " ولكن", "probability": 0.7491455078125}, {"start": 1045.72, "end": 1046.78, "word": " ليطمئن", "probability": 0.894921875}, {"start": 1046.78, "end": 1047.68, "word": " قلبي،", "probability": 0.850830078125}, {"start": 1047.68, "end": 1048.04, "word": " حابب", "probability": 0.9812825520833334}, {"start": 1048.04, "end": 1049.48, "word": " اتأكد،", "probability": 0.77587890625}, {"start": 1049.48, "end": 1050.12, "word": " وهذا", "probability": 0.646728515625}, {"start": 1050.12, "end": 1050.52, "word": " حصل", "probability": 0.98876953125}, {"start": 1050.52, "end": 1050.72, "word": " مع", "probability": 0.98681640625}, {"start": 1050.72, "end": 1051.28, "word": " نبينا", "probability": 0.9547526041666666}, {"start": 1051.28, "end": 1051.88, "word": " إبراهيم", "probability": 0.908203125}, {"start": 1051.88, "end": 1052.1, "word": " عليه", "probability": 0.75390625}, {"start": 1052.1, "end": 1052.58, "word": " السلام", "probability": 0.94677734375}, {"start": 1052.58, "end": 1052.92, "word": " مع", "probability": 0.6787109375}, {"start": 1052.92, "end": 1053.34, "word": " الله", "probability": 0.84423828125}, {"start": 1053.34, "end": 1053.76, "word": " سبحانه", "probability": 0.9156494140625}, {"start": 1053.76, "end": 1054.34, "word": " وتعالى.", "probability": 0.9139404296875}, {"start": 1054.74, "end": 1055.36, "word": " والراجل", "probability": 0.75517578125}, {"start": 1055.36, "end": 1055.54, "word": " يا", "probability": 0.2003173828125}, {"start": 1055.54, "end": 1055.62, "word": " عزيزي", "probability": 0.93359375}, {"start": 1055.62, "end": 1055.82, "word": " لما", "probability": 0.8466796875}, {"start": 1055.82, "end": 1056.26, "word": " نيسأل", "probability": 0.83203125}, {"start": 1056.26, "end": 1056.8, "word": " سؤاله", "probability": 0.8565673828125}, {"start": 1056.8, "end": 1057.5, "word": " ونجاوب", "probability": 0.93193359375}, {"start": 1057.5, "end": 1057.9, "word": " عليه.", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 46, "seek": 107542, "start": 1058.06, "end": 1075.42, "text": "حابب يتأكد قال لك ربما لكون أخطأنا فاجتهد فوجد نجتهده في غير محق ليه ومن اجتهد فأصف له أجران ومن انتهد فأقطف له أجر واحد يعني ماعناش مشكلة في هذه خليكم معنا خليكم معنا خلاص بجد", "tokens": [5016, 16758, 3555, 7251, 2655, 10721, 4117, 3215, 50239, 5296, 4117, 12602, 3555, 15042, 5296, 30544, 5551, 9778, 9566, 10721, 8315, 6156, 26108, 47395, 3215, 6156, 29245, 3215, 8717, 7435, 47395, 3215, 3224, 8978, 32771, 13546, 3714, 5016, 4587, 32239, 3224, 4032, 27842, 1975, 7435, 47395, 3215, 6156, 10721, 9381, 5172, 46740, 5551, 7435, 2288, 7649, 4032, 27842, 16472, 47395, 3215, 6156, 10721, 47432, 5172, 46740, 5551, 7435, 2288, 36764, 24401, 37495, 22653, 19446, 3615, 1863, 33599, 37893, 28820, 3660, 8978, 29538, 16490, 20292, 24793, 20449, 8315, 16490, 20292, 24793, 20449, 8315, 16490, 1211, 33546, 4724, 7435, 3215], "avg_logprob": -0.2286931797109469, "compression_ratio": 1.8757396449704142, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1058.06, "end": 1058.6, "word": "حابب", "probability": 0.8963216145833334}, {"start": 1058.6, "end": 1059.32, "word": " يتأكد", "probability": 0.97998046875}, {"start": 1059.32, "end": 1059.76, "word": " قال", "probability": 0.251220703125}, {"start": 1059.76, "end": 1059.98, "word": " لك", "probability": 0.697998046875}, {"start": 1059.98, "end": 1060.36, "word": " ربما", "probability": 0.93310546875}, {"start": 1060.36, "end": 1060.76, "word": " لكون", "probability": 0.6025390625}, {"start": 1060.76, "end": 1061.42, "word": " أخطأنا", "probability": 0.84404296875}, {"start": 1061.42, "end": 1062.2, "word": " فاجتهد", "probability": 0.8861083984375}, {"start": 1062.2, "end": 1062.68, "word": " فوجد", "probability": 0.9088541666666666}, {"start": 1062.68, "end": 1063.38, "word": " نجتهده", "probability": 0.730029296875}, {"start": 1063.38, "end": 1063.52, "word": " في", "probability": 0.97607421875}, {"start": 1063.52, "end": 1063.82, "word": " غير", "probability": 0.994384765625}, {"start": 1063.82, "end": 1064.18, "word": " محق", "probability": 0.6748046875}, {"start": 1064.18, "end": 1064.66, "word": " ليه", "probability": 0.793701171875}, {"start": 1064.66, "end": 1065.22, "word": " ومن", "probability": 0.773681640625}, {"start": 1065.22, "end": 1065.9, "word": " اجتهد", "probability": 0.972412109375}, {"start": 1065.9, "end": 1066.7, "word": " فأصف", "probability": 0.68426513671875}, {"start": 1066.7, "end": 1067.12, "word": " له", "probability": 0.74951171875}, {"start": 1067.12, "end": 1068.02, "word": " أجران", "probability": 0.842529296875}, {"start": 1068.02, "end": 1068.34, "word": " ومن", "probability": 0.982666015625}, {"start": 1068.34, "end": 1068.86, "word": " انتهد", "probability": 0.692138671875}, {"start": 1068.86, "end": 1069.36, "word": " فأقطف", "probability": 0.75653076171875}, {"start": 1069.36, "end": 1069.58, "word": " له", "probability": 0.85546875}, {"start": 1069.58, "end": 1069.9, "word": " أجر", "probability": 0.87060546875}, {"start": 1069.9, "end": 1070.32, "word": " واحد", "probability": 0.98974609375}, {"start": 1070.32, "end": 1071.0, "word": " يعني", "probability": 0.86962890625}, {"start": 1071.0, "end": 1071.42, "word": " ماعناش", "probability": 0.8616943359375}, {"start": 1071.42, "end": 1071.84, "word": " مشكلة", "probability": 0.9812825520833334}, {"start": 1071.84, "end": 1071.96, "word": " في", "probability": 0.9794921875}, {"start": 1071.96, "end": 1072.24, "word": " هذه", "probability": 0.80126953125}, {"start": 1072.24, "end": 1073.26, "word": " خليكم", "probability": 0.6617838541666666}, {"start": 1073.26, "end": 1073.56, "word": " معنا", "probability": 0.7239990234375}, {"start": 1073.56, "end": 1074.16, "word": " خليكم", "probability": 0.8069661458333334}, {"start": 1074.16, "end": 1074.44, "word": " معنا", "probability": 0.994140625}, {"start": 1074.44, "end": 1074.98, "word": " خلاص", "probability": 0.9842122395833334}, {"start": 1074.98, "end": 1075.42, "word": " بجد", "probability": 0.636474609375}], "temperature": 1.0}, {"id": 47, "seek": 109654, "start": 1076.1, "end": 1096.54, "text": "طيب، زي ما فيه مشتقات، معناته فيه تكاملات، إذا بدنا نروح للتكاملات تانية، يبقى هنا بدنا نيجي لأول تكامل من هذه التكاملة، خلّا معايا كل سنة، طبعا زي ما تجيب في مستقبل، مشتقة السنش بيجوش، إذا مشتقة الجوش", "tokens": [9566, 1829, 3555, 12399, 30767, 1829, 19446, 8978, 3224, 37893, 2655, 4587, 9307, 12399, 20449, 8315, 47395, 8978, 3224, 6055, 4117, 10943, 1211, 9307, 12399, 11933, 15730, 47525, 8315, 8717, 32887, 5016, 24976, 2655, 4117, 10943, 1211, 9307, 6055, 7649, 10632, 12399, 7251, 3555, 4587, 7578, 34105, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 10721, 12610, 6055, 4117, 10943, 1211, 9154, 29538, 16712, 4117, 10943, 37977, 12399, 16490, 1211, 11703, 995, 20449, 995, 25528, 28242, 8608, 1863, 3660, 12399, 23032, 3555, 3615, 995, 30767, 1829, 19446, 6055, 7435, 1829, 3555, 8978, 3714, 14851, 4587, 36150, 12399, 37893, 2655, 28671, 21136, 1863, 8592, 4724, 1829, 7435, 2407, 8592, 12399, 11933, 15730, 37893, 2655, 28671, 25724, 2407, 8592], "avg_logprob": -0.22061966474239642, "compression_ratio": 1.9623655913978495, "no_speech_prob": 0.0, "words": [{"start": 1076.1, "end": 1076.7, "word": "طيب،", "probability": 0.70013427734375}, {"start": 1076.7, "end": 1076.96, "word": " زي", "probability": 0.952880859375}, {"start": 1076.96, "end": 1077.1, "word": " ما", "probability": 0.984375}, {"start": 1077.1, "end": 1077.42, "word": " فيه", "probability": 0.6610107421875}, {"start": 1077.42, "end": 1078.32, "word": " مشتقات،", "probability": 0.85693359375}, {"start": 1078.32, "end": 1078.7, "word": " معناته", "probability": 0.8151041666666666}, {"start": 1078.7, "end": 1078.98, "word": " فيه", "probability": 0.9306640625}, {"start": 1078.98, "end": 1080.4, "word": " تكاملات،", "probability": 0.9236653645833334}, {"start": 1080.4, "end": 1080.64, "word": " إذا", "probability": 0.795654296875}, {"start": 1080.64, "end": 1081.1, "word": " بدنا", "probability": 0.7061767578125}, {"start": 1081.1, "end": 1081.54, "word": " نروح", "probability": 0.99658203125}, {"start": 1081.54, "end": 1082.56, "word": " للتكاملات", "probability": 0.98046875}, {"start": 1082.56, "end": 1083.56, "word": " تانية،", "probability": 0.672607421875}, {"start": 1083.56, "end": 1084.26, "word": " يبقى", "probability": 0.9635009765625}, {"start": 1084.26, "end": 1084.72, "word": " هنا", "probability": 0.9912109375}, {"start": 1084.72, "end": 1085.56, "word": " بدنا", "probability": 0.8095703125}, {"start": 1085.56, "end": 1085.86, "word": " نيجي", "probability": 0.9764404296875}, {"start": 1085.86, "end": 1086.56, "word": " لأول", "probability": 0.9641927083333334}, {"start": 1086.56, "end": 1087.34, "word": " تكامل", "probability": 0.989990234375}, {"start": 1087.34, "end": 1087.54, "word": " من", "probability": 0.98291015625}, {"start": 1087.54, "end": 1087.8, "word": " هذه", "probability": 0.98388671875}, {"start": 1087.8, "end": 1089.28, "word": " التكاملة،", "probability": 0.8421875}, {"start": 1089.28, "end": 1090.5, "word": " خلّا", "probability": 0.59002685546875}, {"start": 1090.5, "end": 1090.78, "word": " معايا", "probability": 0.6929524739583334}, {"start": 1090.78, "end": 1091.0, "word": " كل", "probability": 0.65283203125}, {"start": 1091.0, "end": 1092.02, "word": " سنة،", "probability": 0.8056640625}, {"start": 1092.02, "end": 1092.32, "word": " طبعا", "probability": 0.91845703125}, {"start": 1092.32, "end": 1092.46, "word": " زي", "probability": 0.895263671875}, {"start": 1092.46, "end": 1092.52, "word": " ما", "probability": 0.90380859375}, {"start": 1092.52, "end": 1092.76, "word": " تجيب", "probability": 0.607635498046875}, {"start": 1092.76, "end": 1092.86, "word": " في", "probability": 0.29541015625}, {"start": 1092.86, "end": 1093.44, "word": " مستقبل،", "probability": 0.665869140625}, {"start": 1093.44, "end": 1093.96, "word": " مشتقة", "probability": 0.95068359375}, {"start": 1093.96, "end": 1094.56, "word": " السنش", "probability": 0.818359375}, {"start": 1094.56, "end": 1095.2, "word": " بيجوش،", "probability": 0.8706868489583334}, {"start": 1095.2, "end": 1095.34, "word": " إذا", "probability": 0.9326171875}, {"start": 1095.34, "end": 1095.9, "word": " مشتقة", "probability": 0.9402669270833334}, {"start": 1095.9, "end": 1096.54, "word": " الجوش", "probability": 0.87353515625}], "temperature": 1.0}, {"id": 48, "seek": 112231, "start": 1097.11, "end": 1122.31, "text": "مشتقت الجوش بالسنش إذا متكامل السنش بجوش يبقى على كل الخط الان نمرة واحد تكامل لسنش ال X DX بدي يعطيلك جوش ال X زائد constant C نمرة اتنين بدنا تكامل لجوش ال X بدي ساوي ال همين DX", "tokens": [2304, 8592, 2655, 38149, 25724, 2407, 8592, 20666, 3794, 1863, 8592, 11933, 15730, 44650, 4117, 10943, 1211, 21136, 1863, 8592, 4724, 7435, 2407, 8592, 7251, 3555, 4587, 7578, 15844, 28242, 33962, 9566, 2423, 7649, 8717, 2304, 25720, 36764, 24401, 6055, 4117, 10943, 1211, 5296, 3794, 1863, 8592, 2423, 1783, 48817, 4724, 16254, 37495, 9566, 1829, 23275, 10874, 2407, 8592, 2423, 1783, 30767, 16373, 3215, 5754, 383, 8717, 2304, 25720, 1975, 2655, 1863, 9957, 47525, 8315, 6055, 4117, 10943, 1211, 5296, 7435, 2407, 8592, 2423, 1783, 4724, 16254, 8608, 995, 45865, 2423, 8032, 2304, 9957, 48817], "avg_logprob": -0.23714193375781178, "compression_ratio": 1.7572254335260116, "no_speech_prob": 0.0, "words": [{"start": 1097.11, "end": 1098.77, "word": "مشتقت", "probability": 0.5579833984375}, {"start": 1098.77, "end": 1099.21, "word": " الجوش", "probability": 0.8688151041666666}, {"start": 1099.21, "end": 1099.81, "word": " بالسنش", "probability": 0.8873291015625}, {"start": 1099.81, "end": 1100.03, "word": " إذا", "probability": 0.60369873046875}, {"start": 1100.03, "end": 1100.87, "word": " متكامل", "probability": 0.83807373046875}, {"start": 1100.87, "end": 1101.69, "word": " السنش", "probability": 0.9163411458333334}, {"start": 1101.69, "end": 1102.41, "word": " بجوش", "probability": 0.89697265625}, {"start": 1102.41, "end": 1103.19, "word": " يبقى", "probability": 0.8184814453125}, {"start": 1103.19, "end": 1103.37, "word": " على", "probability": 0.95703125}, {"start": 1103.37, "end": 1103.69, "word": " كل", "probability": 0.88623046875}, {"start": 1103.69, "end": 1104.31, "word": " الخط", "probability": 0.980712890625}, {"start": 1104.31, "end": 1105.15, "word": " الان", "probability": 0.55718994140625}, {"start": 1105.15, "end": 1105.53, "word": " نمرة", "probability": 0.68310546875}, {"start": 1105.53, "end": 1106.05, "word": " واحد", "probability": 0.913818359375}, {"start": 1106.05, "end": 1106.93, "word": " تكامل", "probability": 0.9517822265625}, {"start": 1106.93, "end": 1107.97, "word": " لسنش", "probability": 0.976318359375}, {"start": 1107.97, "end": 1108.61, "word": " ال", "probability": 0.74072265625}, {"start": 1108.61, "end": 1109.07, "word": " X", "probability": 0.60107421875}, {"start": 1109.07, "end": 1109.65, "word": " DX", "probability": 0.7802734375}, {"start": 1109.65, "end": 1110.57, "word": " بدي", "probability": 0.550537109375}, {"start": 1110.57, "end": 1111.25, "word": " يعطيلك", "probability": 0.71759033203125}, {"start": 1111.25, "end": 1111.65, "word": " جوش", "probability": 0.9755859375}, {"start": 1111.65, "end": 1111.87, "word": " ال", "probability": 0.75634765625}, {"start": 1111.87, "end": 1112.25, "word": " X", "probability": 0.98095703125}, {"start": 1112.25, "end": 1112.83, "word": " زائد", "probability": 0.8294270833333334}, {"start": 1112.83, "end": 1113.43, "word": " constant", "probability": 0.272216796875}, {"start": 1113.43, "end": 1113.97, "word": " C", "probability": 0.94677734375}, {"start": 1113.97, "end": 1114.87, "word": " نمرة", "probability": 0.91259765625}, {"start": 1114.87, "end": 1115.53, "word": " اتنين", "probability": 0.9580078125}, {"start": 1115.53, "end": 1116.23, "word": " بدنا", "probability": 0.748779296875}, {"start": 1116.23, "end": 1117.57, "word": " تكامل", "probability": 0.9825439453125}, {"start": 1117.57, "end": 1118.45, "word": " لجوش", "probability": 0.9736328125}, {"start": 1118.45, "end": 1118.75, "word": " ال", "probability": 0.8857421875}, {"start": 1118.75, "end": 1119.15, "word": " X", "probability": 0.9853515625}, {"start": 1119.15, "end": 1119.81, "word": " بدي", "probability": 0.852783203125}, {"start": 1119.81, "end": 1120.63, "word": " ساوي", "probability": 0.8683268229166666}, {"start": 1120.63, "end": 1121.17, "word": " ال", "probability": 0.9326171875}, {"start": 1121.17, "end": 1121.81, "word": " همين", "probability": 0.6564534505208334}, {"start": 1121.81, "end": 1122.31, "word": " DX", "probability": 0.83984375}], "temperature": 1.0}, {"id": 49, "seek": 113636, "start": 1123.55, "end": 1136.37, "text": "بدي يساوي اللي هو سنش LX زائد كل صندسي، نمرة تلت طيب شيفاه، لو بدنا تكامل التانش", "tokens": [3555, 16254, 7251, 3794, 995, 45865, 13672, 1829, 31439, 8608, 1863, 8592, 441, 55, 30767, 16373, 3215, 28242, 20328, 41260, 3794, 1829, 12399, 8717, 2304, 25720, 6055, 1211, 2655, 23032, 1829, 3555, 13412, 33911, 40294, 12399, 45164, 47525, 8315, 6055, 4117, 10943, 1211, 16712, 7649, 8592], "avg_logprob": -0.47273936931123123, "compression_ratio": 1.3027522935779816, "no_speech_prob": 0.0, "words": [{"start": 1123.55, "end": 1124.15, "word": "بدي", "probability": 0.361328125}, {"start": 1124.15, "end": 1124.87, "word": " يساوي", "probability": 0.78839111328125}, {"start": 1124.87, "end": 1125.17, "word": " اللي", "probability": 0.684326171875}, {"start": 1125.17, "end": 1125.33, "word": " هو", "probability": 0.97705078125}, {"start": 1125.33, "end": 1126.09, "word": " سنش", "probability": 0.5133260091145834}, {"start": 1126.09, "end": 1127.19, "word": " LX", "probability": 0.65966796875}, {"start": 1127.19, "end": 1128.15, "word": " زائد", "probability": 0.8024088541666666}, {"start": 1128.15, "end": 1128.41, "word": " كل", "probability": 0.87646484375}, {"start": 1128.41, "end": 1129.39, "word": " صندسي،", "probability": 0.397216796875}, {"start": 1129.39, "end": 1130.19, "word": " نمرة", "probability": 0.68017578125}, {"start": 1130.19, "end": 1130.65, "word": " تلت", "probability": 0.80126953125}, {"start": 1130.65, "end": 1133.75, "word": " طيب", "probability": 0.7569986979166666}, {"start": 1133.75, "end": 1134.29, "word": " شيفاه،", "probability": 0.517791748046875}, {"start": 1134.29, "end": 1134.41, "word": " لو", "probability": 0.71728515625}, {"start": 1134.41, "end": 1134.73, "word": " بدنا", "probability": 0.987060546875}, {"start": 1134.73, "end": 1135.35, "word": " تكامل", "probability": 0.83349609375}, {"start": 1135.35, "end": 1136.37, "word": " التانش", "probability": 0.91015625}], "temperature": 1.0}, {"id": 50, "seek": 115525, "start": 1141.67, "end": 1155.25, "text": "سلشة على جوش البسطى مش ساقة المقارنة يبقى لنا المقارنة مش هذا اللي بديه خلّيه مع الأسلحة اللي بدك هيها بقول اه بدي تكامل لسشة square x dx", "tokens": [3794, 1211, 8592, 3660, 15844, 10874, 2407, 8592, 29739, 3794, 9566, 7578, 37893, 8608, 995, 28671, 9673, 4587, 9640, 1863, 3660, 7251, 3555, 4587, 7578, 5296, 8315, 9673, 4587, 9640, 1863, 3660, 37893, 23758, 13672, 1829, 4724, 16254, 3224, 16490, 1211, 11703, 1829, 3224, 20449, 16247, 3794, 1211, 5016, 3660, 13672, 1829, 47525, 4117, 39896, 11296, 4724, 39648, 1975, 3224, 4724, 16254, 6055, 4117, 10943, 1211, 5296, 3794, 8592, 3660, 3732, 2031, 30017], "avg_logprob": -0.39104730494924494, "compression_ratio": 1.5866666666666667, "no_speech_prob": 0.0, "words": [{"start": 1141.67, "end": 1142.65, "word": "سلشة", "probability": 0.67083740234375}, {"start": 1142.65, "end": 1142.85, "word": " على", "probability": 0.666015625}, {"start": 1142.85, "end": 1143.45, "word": " جوش", "probability": 0.8253580729166666}, {"start": 1143.45, "end": 1144.09, "word": " البسطى", "probability": 0.43017578125}, {"start": 1144.09, "end": 1144.23, "word": " مش", "probability": 0.7529296875}, {"start": 1144.23, "end": 1144.59, "word": " ساقة", "probability": 0.6009928385416666}, {"start": 1144.59, "end": 1145.21, "word": " المقارنة", "probability": 0.83447265625}, {"start": 1145.21, "end": 1145.41, "word": " يبقى", "probability": 0.549652099609375}, {"start": 1145.41, "end": 1145.69, "word": " لنا", "probability": 0.769287109375}, {"start": 1145.69, "end": 1146.21, "word": " المقارنة", "probability": 0.97939453125}, {"start": 1146.21, "end": 1146.35, "word": " مش", "probability": 0.8369140625}, {"start": 1146.35, "end": 1146.59, "word": " هذا", "probability": 0.8251953125}, {"start": 1146.59, "end": 1146.75, "word": " اللي", "probability": 0.748291015625}, {"start": 1146.75, "end": 1147.27, "word": " بديه", "probability": 0.6497395833333334}, {"start": 1147.27, "end": 1148.07, "word": " خلّيه", "probability": 0.58564453125}, {"start": 1148.07, "end": 1148.25, "word": " مع", "probability": 0.97021484375}, {"start": 1148.25, "end": 1148.95, "word": " الأسلحة", "probability": 0.6125}, {"start": 1148.95, "end": 1149.05, "word": " اللي", "probability": 0.944580078125}, {"start": 1149.05, "end": 1149.33, "word": " بدك", "probability": 0.78173828125}, {"start": 1149.33, "end": 1149.79, "word": " هيها", "probability": 0.6474609375}, {"start": 1149.79, "end": 1150.49, "word": " بقول", "probability": 0.781982421875}, {"start": 1150.49, "end": 1150.93, "word": " اه", "probability": 0.730712890625}, {"start": 1150.93, "end": 1151.31, "word": " بدي", "probability": 0.834716796875}, {"start": 1151.31, "end": 1152.27, "word": " تكامل", "probability": 0.953369140625}, {"start": 1152.27, "end": 1153.23, "word": " لسشة", "probability": 0.7882080078125}, {"start": 1153.23, "end": 1153.83, "word": " square", "probability": 0.7236328125}, {"start": 1153.83, "end": 1154.49, "word": " x", "probability": 0.66552734375}, {"start": 1154.49, "end": 1155.25, "word": " dx", "probability": 0.8037109375}], "temperature": 1.0}, {"id": 51, "seek": 117352, "start": 1157.34, "end": 1173.52, "text": "تفاهم التنش بسيش سكوير بمين؟ بتنش يبقى هنا تنش ال X زائد كونستانسي نمرة أربعة بدي تكامل كسيش سكوير X", "tokens": [2655, 5172, 995, 16095, 16712, 1863, 8592, 4724, 3794, 1829, 8592, 8608, 4117, 2407, 13546, 4724, 2304, 9957, 22807, 39894, 1863, 8592, 7251, 3555, 4587, 7578, 34105, 6055, 1863, 8592, 2423, 1783, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 3794, 1829, 8717, 2304, 25720, 5551, 25513, 27884, 4724, 16254, 6055, 4117, 10943, 1211, 9122, 3794, 1829, 8592, 8608, 4117, 2407, 13546, 1783], "avg_logprob": -0.4285714304636395, "compression_ratio": 1.4916666666666667, "no_speech_prob": 0.0, "words": [{"start": 1157.34, "end": 1157.94, "word": "تفاهم", "probability": 0.45794677734375}, {"start": 1157.94, "end": 1159.1, "word": " التنش", "probability": 0.6498209635416666}, {"start": 1159.1, "end": 1159.76, "word": " بسيش", "probability": 0.5299835205078125}, {"start": 1159.76, "end": 1161.68, "word": " سكوير", "probability": 0.627777099609375}, {"start": 1161.68, "end": 1162.3, "word": " بمين؟", "probability": 0.487884521484375}, {"start": 1162.3, "end": 1163.42, "word": " بتنش", "probability": 0.9275716145833334}, {"start": 1163.42, "end": 1164.08, "word": " يبقى", "probability": 0.819580078125}, {"start": 1164.08, "end": 1164.5, "word": " هنا", "probability": 0.92041015625}, {"start": 1164.5, "end": 1165.8, "word": " تنش", "probability": 0.9016927083333334}, {"start": 1165.8, "end": 1166.42, "word": " ال", "probability": 0.6015625}, {"start": 1166.42, "end": 1166.84, "word": " X", "probability": 0.54296875}, {"start": 1166.84, "end": 1167.54, "word": " زائد", "probability": 0.76171875}, {"start": 1167.54, "end": 1168.58, "word": " كونستانسي", "probability": 0.6478474934895834}, {"start": 1168.58, "end": 1169.52, "word": " نمرة", "probability": 0.5786946614583334}, {"start": 1169.52, "end": 1170.26, "word": " أربعة", "probability": 0.8326822916666666}, {"start": 1170.26, "end": 1170.66, "word": " بدي", "probability": 0.662109375}, {"start": 1170.66, "end": 1171.58, "word": " تكامل", "probability": 0.914794921875}, {"start": 1171.58, "end": 1172.3, "word": " كسيش", "probability": 0.8785400390625}, {"start": 1172.3, "end": 1173.06, "word": " سكوير", "probability": 0.8782958984375}, {"start": 1173.06, "end": 1173.52, "word": " X", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 52, "seek": 118268, "start": 1176.9, "end": 1182.68, "text": "سالب كتانش يبقى سالب كتانش ال X", "tokens": [3794, 6027, 3555, 9122, 2655, 7649, 8592, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 9122, 2655, 7649, 8592, 2423, 1783], "avg_logprob": -0.5070684637342181, "compression_ratio": 1.2222222222222223, "no_speech_prob": 0.00015413761138916016, "words": [{"start": 1176.8999999999999, "end": 1178.3, "word": "سالب", "probability": 0.3987223307291667}, {"start": 1178.3, "end": 1179.16, "word": " كتانش", "probability": 0.8179931640625}, {"start": 1179.16, "end": 1180.16, "word": " يبقى", "probability": 0.751068115234375}, {"start": 1180.16, "end": 1180.86, "word": " سالب", "probability": 0.8224283854166666}, {"start": 1180.86, "end": 1181.96, "word": " كتانش", "probability": 0.982666015625}, {"start": 1181.96, "end": 1182.3, "word": " ال", "probability": 0.59326171875}, {"start": 1182.3, "end": 1182.68, "word": " X", "probability": 0.65185546875}], "temperature": 1.0}, {"id": 53, "seek": 122907, "start": 1225.73, "end": 1229.07, "text": "طيب يبقى ضال مين؟", "tokens": [9566, 1829, 3555, 7251, 3555, 4587, 7578, 48812, 6027, 3714, 9957, 22807], "avg_logprob": -0.44200722070840687, "compression_ratio": 0.8157894736842105, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1225.73, "end": 1227.13, "word": "طيب", "probability": 0.6815185546875}, {"start": 1227.13, "end": 1228.11, "word": " يبقى", "probability": 0.9248046875}, {"start": 1228.11, "end": 1228.35, "word": " ضال", "probability": 0.4884033203125}, {"start": 1228.35, "end": 1229.07, "word": " مين؟", "probability": 0.7942708333333334}], "temperature": 1.0}, {"id": 54, "seek": 125235, "start": 1230.02, "end": 1252.36, "text": "الاربع دوال زائدية الأخرى خليهم مع الأمثلة ليه؟ فعليهم مع الأمثلة طيب هنشوف كيف هنخليهم مع الأمثلة يبقى الأن نذهب إلى الأمثلة لغاية هنا شباب احنا خلصنا الشطر الأول من الجزء النظري في هذا ال section", "tokens": [6027, 9640, 3555, 3615, 11778, 2407, 6027, 30767, 16373, 3215, 10632, 16247, 34740, 7578, 16490, 20292, 16095, 20449, 16247, 2304, 12984, 37977, 32239, 3224, 22807, 6156, 3615, 20292, 16095, 20449, 16247, 2304, 12984, 37977, 23032, 1829, 3555, 8032, 1863, 8592, 38688, 9122, 33911, 8032, 1863, 9778, 20292, 16095, 20449, 16247, 2304, 12984, 37977, 7251, 3555, 4587, 7578, 16247, 1863, 8717, 24192, 3555, 30731, 16247, 2304, 12984, 37977, 5296, 17082, 995, 10632, 34105, 13412, 3555, 16758, 1975, 5016, 8315, 16490, 1211, 9381, 8315, 25124, 9566, 2288, 16247, 12610, 9154, 25724, 11622, 38207, 28239, 19913, 16572, 8978, 23758, 2423, 3541], "avg_logprob": -0.1133207046624386, "compression_ratio": 1.8823529411764706, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1230.02, "end": 1231.1, "word": "الاربع", "probability": 0.8421630859375}, {"start": 1231.1, "end": 1232.14, "word": " دوال", "probability": 0.80078125}, {"start": 1232.14, "end": 1232.98, "word": " زائدية", "probability": 0.9549560546875}, {"start": 1232.98, "end": 1233.62, "word": " الأخرى", "probability": 0.904296875}, {"start": 1233.62, "end": 1234.32, "word": " خليهم", "probability": 0.7421875}, {"start": 1234.32, "end": 1234.56, "word": " مع", "probability": 0.96728515625}, {"start": 1234.56, "end": 1235.7, "word": " الأمثلة", "probability": 0.965087890625}, {"start": 1235.7, "end": 1237.0, "word": " ليه؟", "probability": 0.80419921875}, {"start": 1237.0, "end": 1237.64, "word": " فعليهم", "probability": 0.76385498046875}, {"start": 1237.64, "end": 1237.84, "word": " مع", "probability": 0.98974609375}, {"start": 1237.84, "end": 1238.44, "word": " الأمثلة", "probability": 0.9874267578125}, {"start": 1238.44, "end": 1239.18, "word": " طيب", "probability": 0.9265950520833334}, {"start": 1239.18, "end": 1240.18, "word": " هنشوف", "probability": 0.8662109375}, {"start": 1240.18, "end": 1240.44, "word": " كيف", "probability": 0.982421875}, {"start": 1240.44, "end": 1241.0, "word": " هنخليهم", "probability": 0.87197265625}, {"start": 1241.0, "end": 1241.2, "word": " مع", "probability": 0.98974609375}, {"start": 1241.2, "end": 1241.96, "word": " الأمثلة", "probability": 0.9888916015625}, {"start": 1241.96, "end": 1242.8, "word": " يبقى", "probability": 0.8134765625}, {"start": 1242.8, "end": 1243.04, "word": " الأن", "probability": 0.707275390625}, {"start": 1243.04, "end": 1243.6, "word": " نذهب", "probability": 0.951171875}, {"start": 1243.6, "end": 1243.84, "word": " إلى", "probability": 0.83740234375}, {"start": 1243.84, "end": 1244.8, "word": " الأمثلة", "probability": 0.988525390625}, {"start": 1244.8, "end": 1246.28, "word": " لغاية", "probability": 0.9727783203125}, {"start": 1246.28, "end": 1246.58, "word": " هنا", "probability": 0.9443359375}, {"start": 1246.58, "end": 1247.02, "word": " شباب", "probability": 0.8409830729166666}, {"start": 1247.02, "end": 1247.26, "word": " احنا", "probability": 0.9000651041666666}, {"start": 1247.26, "end": 1247.96, "word": " خلصنا", "probability": 0.9814453125}, {"start": 1247.96, "end": 1248.6, "word": " الشطر", "probability": 0.9845377604166666}, {"start": 1248.6, "end": 1249.44, "word": " الأول", "probability": 0.974853515625}, {"start": 1249.44, "end": 1249.76, "word": " من", "probability": 0.99267578125}, {"start": 1249.76, "end": 1250.36, "word": " الجزء", "probability": 0.9851888020833334}, {"start": 1250.36, "end": 1251.18, "word": " النظري", "probability": 0.9739583333333334}, {"start": 1251.18, "end": 1251.46, "word": " في", "probability": 0.97216796875}, {"start": 1251.46, "end": 1251.82, "word": " هذا", "probability": 0.892578125}, {"start": 1251.82, "end": 1251.96, "word": " ال", "probability": 0.74755859375}, {"start": 1251.96, "end": 1252.36, "word": " section", "probability": 0.849609375}], "temperature": 1.0}, {"id": 55, "seek": 127910, "start": 1253.61, "end": 1279.11, "text": "و لسه في جزء تاني اللي هو معكوس الدول الزائدية لكن بنقول لك خدك راست شوية هنا و خلينا نحل مجموعة من الأمثلة مجموعة من الأمثلة على ما سبقت دراسته المثال الأول examples أول مثال بيقول if", "tokens": [2407, 5296, 3794, 3224, 8978, 10874, 11622, 38207, 6055, 7649, 1829, 13672, 1829, 31439, 20449, 4117, 41779, 32748, 12610, 6024, 110, 16373, 3215, 10632, 44381, 44945, 39648, 5296, 4117, 16490, 3215, 4117, 12602, 995, 14851, 13412, 2407, 10632, 34105, 4032, 16490, 1211, 9957, 995, 8717, 5016, 1211, 3714, 7435, 2304, 2407, 27884, 9154, 16247, 2304, 12984, 37977, 3714, 7435, 2304, 2407, 27884, 9154, 16247, 2304, 12984, 37977, 15844, 19446, 8608, 3555, 38149, 11778, 23557, 14851, 3224, 9673, 12984, 6027, 16247, 12610, 5110, 5551, 12610, 50113, 6027, 4724, 1829, 39648, 498], "avg_logprob": -0.21462912742908186, "compression_ratio": 1.7405405405405405, "no_speech_prob": 0.0, "words": [{"start": 1253.61, "end": 1253.87, "word": "و", "probability": 0.5634765625}, {"start": 1253.87, "end": 1254.31, "word": " لسه", "probability": 0.7403157552083334}, {"start": 1254.31, "end": 1254.47, "word": " في", "probability": 0.8505859375}, {"start": 1254.47, "end": 1254.99, "word": " جزء", "probability": 0.96826171875}, {"start": 1254.99, "end": 1255.55, "word": " تاني", "probability": 0.9327799479166666}, {"start": 1255.55, "end": 1255.71, "word": " اللي", "probability": 0.65673828125}, {"start": 1255.71, "end": 1255.87, "word": " هو", "probability": 0.97216796875}, {"start": 1255.87, "end": 1256.57, "word": " معكوس", "probability": 0.7742513020833334}, {"start": 1256.57, "end": 1257.07, "word": " الدول", "probability": 0.829833984375}, {"start": 1257.07, "end": 1258.13, "word": " الزائدية", "probability": 0.8900390625}, {"start": 1258.13, "end": 1258.85, "word": " لكن", "probability": 0.5048828125}, {"start": 1258.85, "end": 1259.31, "word": " بنقول", "probability": 0.7822265625}, {"start": 1259.31, "end": 1259.53, "word": " لك", "probability": 0.797119140625}, {"start": 1259.53, "end": 1260.07, "word": " خدك", "probability": 0.6943359375}, {"start": 1260.07, "end": 1260.43, "word": " راست", "probability": 0.6260579427083334}, {"start": 1260.43, "end": 1261.03, "word": " شوية", "probability": 0.8098958333333334}, {"start": 1261.03, "end": 1261.49, "word": " هنا", "probability": 0.37646484375}, {"start": 1261.49, "end": 1262.11, "word": " و", "probability": 0.96435546875}, {"start": 1262.11, "end": 1262.61, "word": " خلينا", "probability": 0.6995849609375}, {"start": 1262.61, "end": 1262.99, "word": " نحل", "probability": 0.9759114583333334}, {"start": 1262.99, "end": 1263.57, "word": " مجموعة", "probability": 0.90859375}, {"start": 1263.57, "end": 1263.79, "word": " من", "probability": 0.81298828125}, {"start": 1263.79, "end": 1264.47, "word": " الأمثلة", "probability": 0.9788818359375}, {"start": 1264.47, "end": 1265.65, "word": " مجموعة", "probability": 0.8249755859375}, {"start": 1265.65, "end": 1265.87, "word": " من", "probability": 0.98583984375}, {"start": 1265.87, "end": 1266.37, "word": " الأمثلة", "probability": 0.99072265625}, {"start": 1266.37, "end": 1266.65, "word": " على", "probability": 0.76513671875}, {"start": 1266.65, "end": 1266.85, "word": " ما", "probability": 0.95068359375}, {"start": 1266.85, "end": 1267.65, "word": " سبقت", "probability": 0.7333984375}, {"start": 1267.65, "end": 1268.49, "word": " دراسته", "probability": 0.98046875}, {"start": 1268.49, "end": 1269.29, "word": " المثال", "probability": 0.8859049479166666}, {"start": 1269.29, "end": 1270.05, "word": " الأول", "probability": 0.969482421875}, {"start": 1270.05, "end": 1272.19, "word": " examples", "probability": 0.5400390625}, {"start": 1272.19, "end": 1276.33, "word": " أول", "probability": 0.789794921875}, {"start": 1276.33, "end": 1277.09, "word": " مثال", "probability": 0.974853515625}, {"start": 1277.09, "end": 1278.79, "word": " بيقول", "probability": 0.9427083333333334}, {"start": 1278.79, "end": 1279.11, "word": " if", "probability": 0.658203125}], "temperature": 1.0}, {"id": 56, "seek": 130811, "start": 1281.06, "end": 1308.12, "text": "جوش ال X بده يساوي تلتاشر على خمسة و ال X greater than zero فاين اجد انه نمرة واحد او نمرة A بدنا يا سيدي اللي هو مين تانش ال X and اللي هو مين and سش ال X", "tokens": [7435, 2407, 8592, 2423, 1783, 47525, 3224, 7251, 3794, 995, 45865, 6055, 1211, 2655, 33599, 2288, 15844, 16490, 2304, 3794, 3660, 4032, 2423, 1783, 5044, 813, 4018, 6156, 995, 9957, 1975, 7435, 3215, 16472, 3224, 8717, 2304, 25720, 36764, 24401, 1975, 2407, 8717, 2304, 25720, 316, 47525, 8315, 35186, 8608, 1829, 16254, 13672, 1829, 31439, 3714, 9957, 6055, 7649, 8592, 2423, 1783, 293, 13672, 1829, 31439, 3714, 9957, 293, 8608, 8592, 2423, 1783], "avg_logprob": -0.33699325129792496, "compression_ratio": 1.5769230769230769, "no_speech_prob": 0.0, "words": [{"start": 1281.06, "end": 1281.86, "word": "جوش", "probability": 0.6298421223958334}, {"start": 1281.86, "end": 1282.24, "word": " ال", "probability": 0.779296875}, {"start": 1282.24, "end": 1282.74, "word": " X", "probability": 0.517578125}, {"start": 1282.74, "end": 1283.44, "word": " بده", "probability": 0.227996826171875}, {"start": 1283.44, "end": 1284.14, "word": " يساوي", "probability": 0.959228515625}, {"start": 1284.14, "end": 1286.08, "word": " تلتاشر", "probability": 0.81337890625}, {"start": 1286.08, "end": 1286.68, "word": " على", "probability": 0.689453125}, {"start": 1286.68, "end": 1287.44, "word": " خمسة", "probability": 0.988037109375}, {"start": 1287.44, "end": 1287.56, "word": " و", "probability": 0.359130859375}, {"start": 1287.56, "end": 1287.72, "word": " ال", "probability": 0.62255859375}, {"start": 1287.72, "end": 1288.06, "word": " X", "probability": 0.96484375}, {"start": 1288.06, "end": 1288.62, "word": " greater", "probability": 0.57275390625}, {"start": 1288.62, "end": 1289.28, "word": " than", "probability": 0.9267578125}, {"start": 1289.28, "end": 1289.9, "word": " zero", "probability": 0.68017578125}, {"start": 1289.9, "end": 1291.44, "word": " فاين", "probability": 0.5564778645833334}, {"start": 1291.44, "end": 1292.84, "word": " اجد", "probability": 0.5520833333333334}, {"start": 1292.84, "end": 1293.16, "word": " انه", "probability": 0.455322265625}, {"start": 1293.16, "end": 1293.48, "word": " نمرة", "probability": 0.7251790364583334}, {"start": 1293.48, "end": 1294.08, "word": " واحد", "probability": 0.98046875}, {"start": 1294.08, "end": 1294.48, "word": " او", "probability": 0.903076171875}, {"start": 1294.48, "end": 1294.94, "word": " نمرة", "probability": 0.9261067708333334}, {"start": 1294.94, "end": 1295.62, "word": " A", "probability": 0.5341796875}, {"start": 1295.62, "end": 1297.24, "word": " بدنا", "probability": 0.6097412109375}, {"start": 1297.24, "end": 1297.58, "word": " يا", "probability": 0.46142578125}, {"start": 1297.58, "end": 1298.0, "word": " سيدي", "probability": 0.8958333333333334}, {"start": 1298.0, "end": 1298.68, "word": " اللي", "probability": 0.943603515625}, {"start": 1298.68, "end": 1298.9, "word": " هو", "probability": 0.91259765625}, {"start": 1298.9, "end": 1299.32, "word": " مين", "probability": 0.83837890625}, {"start": 1299.32, "end": 1300.72, "word": " تانش", "probability": 0.7010091145833334}, {"start": 1300.72, "end": 1301.82, "word": " ال", "probability": 0.91552734375}, {"start": 1301.82, "end": 1302.46, "word": " X", "probability": 0.98779296875}, {"start": 1302.46, "end": 1303.72, "word": " and", "probability": 0.57666015625}, {"start": 1303.72, "end": 1304.86, "word": " اللي", "probability": 0.971923828125}, {"start": 1304.86, "end": 1305.0, "word": " هو", "probability": 0.95263671875}, {"start": 1305.0, "end": 1305.4, "word": " مين", "probability": 0.8818359375}, {"start": 1305.4, "end": 1306.32, "word": " and", "probability": 0.6875}, {"start": 1306.32, "end": 1307.36, "word": " سش", "probability": 0.908935546875}, {"start": 1307.36, "end": 1307.66, "word": " ال", "probability": 0.82763671875}, {"start": 1307.66, "end": 1308.12, "word": " X", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 57, "seek": 131921, "start": 1309.77, "end": 1319.21, "text": "الاتنين هدول نمرى بيه بدنا the value of x", "tokens": [6027, 9307, 1863, 9957, 8032, 3215, 12610, 8717, 29973, 7578, 4724, 1829, 3224, 47525, 8315, 264, 2158, 295, 2031], "avg_logprob": -0.4437500059604645, "compression_ratio": 0.9130434782608695, "no_speech_prob": 0.0, "words": [{"start": 1309.77, "end": 1310.55, "word": "الاتنين", "probability": 0.763671875}, {"start": 1310.55, "end": 1311.17, "word": " هدول", "probability": 0.83984375}, {"start": 1311.17, "end": 1312.57, "word": " نمرى", "probability": 0.6580403645833334}, {"start": 1312.57, "end": 1313.31, "word": " بيه", "probability": 0.7233072916666666}, {"start": 1313.31, "end": 1314.51, "word": " بدنا", "probability": 0.742431640625}, {"start": 1314.51, "end": 1315.13, "word": " the", "probability": 0.412353515625}, {"start": 1315.13, "end": 1316.21, "word": " value", "probability": 0.98974609375}, {"start": 1316.21, "end": 1317.49, "word": " of", "probability": 0.97900390625}, {"start": 1317.49, "end": 1319.21, "word": " x", "probability": 0.6328125}], "temperature": 1.0}, {"id": 58, "seek": 136292, "start": 1336.94, "end": 1362.92, "text": "بنعطيني جداش القيمة العددية لجوش ال X اللي 13 على 5 ومن خلالها طلب مني تلت شغلات شغلة الأولى بده جداش مقدار تانش X الثانية جداش قيمة سش X ثمانية جداش القيمة الحقيقية ل X اللي خلتلي المقدار هذا يسوى جداش 13 على 5 solution", "tokens": [3555, 1863, 3615, 9566, 1829, 22653, 10874, 3215, 33599, 25062, 32640, 3660, 18863, 3215, 3215, 10632, 5296, 7435, 2407, 8592, 2423, 1783, 13672, 1829, 3705, 15844, 1025, 4032, 27842, 16490, 1211, 6027, 11296, 23032, 46152, 9154, 1829, 6055, 1211, 2655, 13412, 17082, 1211, 9307, 13412, 17082, 37977, 16247, 12610, 7578, 47525, 3224, 10874, 3215, 33599, 3714, 28543, 9640, 6055, 7649, 8592, 1783, 6024, 104, 7649, 10632, 10874, 3215, 33599, 12174, 32640, 3660, 8608, 8592, 1783, 38637, 2304, 7649, 10632, 10874, 3215, 33599, 25062, 32640, 3660, 21542, 38436, 4587, 10632, 5296, 1783, 13672, 1829, 16490, 1211, 2655, 20292, 9673, 28543, 9640, 23758, 7251, 3794, 2407, 7578, 10874, 3215, 33599, 3705, 15844, 1025, 3827], "avg_logprob": -0.22082411082444992, "compression_ratio": 1.9585492227979275, "no_speech_prob": 0.0, "words": [{"start": 1336.94, "end": 1337.56, "word": "بنعطيني", "probability": 0.5122019449869791}, {"start": 1337.56, "end": 1337.98, "word": " جداش", "probability": 0.8302408854166666}, {"start": 1337.98, "end": 1338.6, "word": " القيمة", "probability": 0.9459635416666666}, {"start": 1338.6, "end": 1339.32, "word": " العددية", "probability": 0.9444580078125}, {"start": 1339.32, "end": 1339.92, "word": " لجوش", "probability": 0.956787109375}, {"start": 1339.92, "end": 1340.08, "word": " ال", "probability": 0.7939453125}, {"start": 1340.08, "end": 1340.28, "word": " X", "probability": 0.62109375}, {"start": 1340.28, "end": 1340.48, "word": " اللي", "probability": 0.6181640625}, {"start": 1340.48, "end": 1341.0, "word": " 13", "probability": 0.49267578125}, {"start": 1341.0, "end": 1341.64, "word": " على", "probability": 0.2498779296875}, {"start": 1341.64, "end": 1342.1, "word": " 5", "probability": 0.916015625}, {"start": 1342.1, "end": 1343.12, "word": " ومن", "probability": 0.79541015625}, {"start": 1343.12, "end": 1343.74, "word": " خلالها", "probability": 0.9898681640625}, {"start": 1343.74, "end": 1344.12, "word": " طلب", "probability": 0.982666015625}, {"start": 1344.12, "end": 1344.64, "word": " مني", "probability": 0.950927734375}, {"start": 1344.64, "end": 1345.06, "word": " تلت", "probability": 0.6177571614583334}, {"start": 1345.06, "end": 1345.68, "word": " شغلات", "probability": 0.98291015625}, {"start": 1345.68, "end": 1346.24, "word": " شغلة", "probability": 0.783203125}, {"start": 1346.24, "end": 1346.84, "word": " الأولى", "probability": 0.9192708333333334}, {"start": 1346.84, "end": 1347.44, "word": " بده", "probability": 0.7021484375}, {"start": 1347.44, "end": 1347.78, "word": " جداش", "probability": 0.9817708333333334}, {"start": 1347.78, "end": 1348.3, "word": " مقدار", "probability": 0.94140625}, {"start": 1348.3, "end": 1348.72, "word": " تانش", "probability": 0.6756998697916666}, {"start": 1348.72, "end": 1349.18, "word": " X", "probability": 0.425537109375}, {"start": 1349.18, "end": 1350.18, "word": " الثانية", "probability": 0.837646484375}, {"start": 1350.18, "end": 1350.74, "word": " جداش", "probability": 0.9778645833333334}, {"start": 1350.74, "end": 1351.74, "word": " قيمة", "probability": 0.9055989583333334}, {"start": 1351.74, "end": 1352.12, "word": " سش", "probability": 0.603759765625}, {"start": 1352.12, "end": 1352.6, "word": " X", "probability": 0.98388671875}, {"start": 1352.6, "end": 1353.48, "word": " ثمانية", "probability": 0.8367919921875}, {"start": 1353.48, "end": 1353.88, "word": " جداش", "probability": 0.98046875}, {"start": 1353.88, "end": 1354.44, "word": " القيمة", "probability": 0.9571940104166666}, {"start": 1354.44, "end": 1355.6, "word": " الحقيقية", "probability": 0.9798583984375}, {"start": 1355.6, "end": 1355.78, "word": " ل", "probability": 0.86328125}, {"start": 1355.78, "end": 1356.08, "word": " X", "probability": 0.65869140625}, {"start": 1356.08, "end": 1356.66, "word": " اللي", "probability": 0.95947265625}, {"start": 1356.66, "end": 1357.56, "word": " خلتلي", "probability": 0.8673095703125}, {"start": 1357.56, "end": 1358.6, "word": " المقدار", "probability": 0.9479166666666666}, {"start": 1358.6, "end": 1358.92, "word": " هذا", "probability": 0.87353515625}, {"start": 1358.92, "end": 1359.34, "word": " يسوى", "probability": 0.7269287109375}, {"start": 1359.34, "end": 1359.96, "word": " جداش", "probability": 0.8883463541666666}, {"start": 1359.96, "end": 1360.64, "word": " 13", "probability": 0.92236328125}, {"start": 1360.64, "end": 1361.64, "word": " على", "probability": 0.75}, {"start": 1361.64, "end": 1362.1, "word": " 5", "probability": 0.9794921875}, {"start": 1362.1, "end": 1362.92, "word": " solution", "probability": 0.7138671875}], "temperature": 1.0}, {"id": 59, "seek": 138355, "start": 1365.39, "end": 1383.55, "text": "يبقى بدنا نيجي للنقطة الأولى اللى هى نمرة A اظن فى جزء منهم بقدر اجيبه مباشرة اللى هم سش بقول بسيطة سش ال X بدي ساوي واحد على جوش ال X", "tokens": [1829, 3555, 4587, 7578, 47525, 8315, 8717, 1829, 7435, 1829, 24976, 1863, 47432, 3660, 16247, 12610, 7578, 13672, 7578, 8032, 7578, 8717, 2304, 25720, 316, 1975, 19913, 1863, 6156, 7578, 10874, 11622, 38207, 9154, 16095, 4724, 28543, 2288, 1975, 7435, 1829, 3555, 3224, 3714, 3555, 33599, 25720, 13672, 7578, 8032, 2304, 8608, 8592, 4724, 39648, 4724, 3794, 1829, 9566, 3660, 8608, 8592, 2423, 1783, 4724, 16254, 8608, 995, 45865, 36764, 24401, 15844, 10874, 2407, 8592, 2423, 1783], "avg_logprob": -0.22736378797353843, "compression_ratio": 1.5771812080536913, "no_speech_prob": 0.0, "words": [{"start": 1365.39, "end": 1365.89, "word": "يبقى", "probability": 0.727447509765625}, {"start": 1365.89, "end": 1366.13, "word": " بدنا", "probability": 0.6617431640625}, {"start": 1366.13, "end": 1366.43, "word": " نيجي", "probability": 0.7215576171875}, {"start": 1366.43, "end": 1367.07, "word": " للنقطة", "probability": 0.81884765625}, {"start": 1367.07, "end": 1367.45, "word": " الأولى", "probability": 0.9365234375}, {"start": 1367.45, "end": 1367.61, "word": " اللى", "probability": 0.764892578125}, {"start": 1367.61, "end": 1367.85, "word": " هى", "probability": 0.89990234375}, {"start": 1367.85, "end": 1368.35, "word": " نمرة", "probability": 0.77490234375}, {"start": 1368.35, "end": 1368.73, "word": " A", "probability": 0.38427734375}, {"start": 1368.73, "end": 1369.89, "word": " اظن", "probability": 0.7970377604166666}, {"start": 1369.89, "end": 1370.19, "word": " فى", "probability": 0.8720703125}, {"start": 1370.19, "end": 1370.63, "word": " جزء", "probability": 0.994140625}, {"start": 1370.63, "end": 1371.03, "word": " منهم", "probability": 0.98681640625}, {"start": 1371.03, "end": 1371.43, "word": " بقدر", "probability": 0.9622395833333334}, {"start": 1371.43, "end": 1371.85, "word": " اجيبه", "probability": 0.9013671875}, {"start": 1371.85, "end": 1372.93, "word": " مباشرة", "probability": 0.989501953125}, {"start": 1372.93, "end": 1374.31, "word": " اللى", "probability": 0.729736328125}, {"start": 1374.31, "end": 1374.61, "word": " هم", "probability": 0.878173828125}, {"start": 1374.61, "end": 1375.39, "word": " سش", "probability": 0.50341796875}, {"start": 1375.39, "end": 1376.39, "word": " بقول", "probability": 0.9345703125}, {"start": 1376.39, "end": 1377.15, "word": " بسيطة", "probability": 0.95966796875}, {"start": 1377.15, "end": 1378.27, "word": " سش", "probability": 0.9296875}, {"start": 1378.27, "end": 1378.65, "word": " ال", "probability": 0.7685546875}, {"start": 1378.65, "end": 1379.25, "word": " X", "probability": 0.77978515625}, {"start": 1379.25, "end": 1380.21, "word": " بدي", "probability": 0.6422119140625}, {"start": 1380.21, "end": 1380.79, "word": " ساوي", "probability": 0.7301432291666666}, {"start": 1380.79, "end": 1381.61, "word": " واحد", "probability": 0.932373046875}, {"start": 1381.61, "end": 1382.27, "word": " على", "probability": 0.6396484375}, {"start": 1382.27, "end": 1382.99, "word": " جوش", "probability": 0.923828125}, {"start": 1382.99, "end": 1383.17, "word": " ال", "probability": 0.8115234375}, {"start": 1383.17, "end": 1383.55, "word": " X", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 60, "seek": 141036, "start": 1386.02, "end": 1410.36, "text": "فالجوش معروفة اللي 13 على 5، ايه من ال social؟ يسوى خمسة على تلتاشر، يبقى هذه بلغة سهلة جدا، الآن هيا عندنا صار اللي هو ال social و بدنا الآن التانش بدنا التانش، طبعا قدامك أكثر من طريق", "tokens": [5172, 6027, 7435, 2407, 8592, 20449, 32887, 5172, 3660, 13672, 1829, 3705, 15844, 1025, 12399, 1975, 1829, 3224, 9154, 2423, 2093, 22807, 7251, 3794, 2407, 7578, 16490, 2304, 3794, 3660, 15844, 6055, 1211, 2655, 33599, 2288, 12399, 7251, 3555, 4587, 7578, 29538, 4724, 1211, 17082, 3660, 8608, 3224, 37977, 10874, 28259, 12399, 6024, 48506, 8032, 25528, 43242, 8315, 20328, 9640, 13672, 1829, 31439, 2423, 2093, 4032, 47525, 8315, 6024, 48506, 16712, 7649, 8592, 47525, 8315, 16712, 7649, 8592, 12399, 23032, 3555, 3615, 995, 12174, 3215, 10943, 4117, 5551, 4117, 49115, 9154, 23032, 16572, 4587], "avg_logprob": -0.2547697387243572, "compression_ratio": 1.6307692307692307, "no_speech_prob": 0.0, "words": [{"start": 1386.02, "end": 1386.98, "word": "فالجوش", "probability": 0.7295654296875}, {"start": 1386.98, "end": 1387.7, "word": " معروفة", "probability": 0.962158203125}, {"start": 1387.7, "end": 1387.94, "word": " اللي", "probability": 0.56695556640625}, {"start": 1387.94, "end": 1388.38, "word": " 13", "probability": 0.483642578125}, {"start": 1388.38, "end": 1388.96, "word": " على", "probability": 0.376708984375}, {"start": 1388.96, "end": 1389.7, "word": " 5،", "probability": 0.5576171875}, {"start": 1389.7, "end": 1389.96, "word": " ايه", "probability": 0.7928059895833334}, {"start": 1389.96, "end": 1390.12, "word": " من", "probability": 0.41064453125}, {"start": 1390.12, "end": 1390.34, "word": " ال", "probability": 0.8984375}, {"start": 1390.34, "end": 1391.0, "word": " social؟", "probability": 0.7431640625}, {"start": 1391.0, "end": 1391.44, "word": " يسوى", "probability": 0.84228515625}, {"start": 1391.44, "end": 1392.2, "word": " خمسة", "probability": 0.797943115234375}, {"start": 1392.2, "end": 1392.5, "word": " على", "probability": 0.86865234375}, {"start": 1392.5, "end": 1393.9, "word": " تلتاشر،", "probability": 0.8507893880208334}, {"start": 1393.9, "end": 1394.36, "word": " يبقى", "probability": 0.9593505859375}, {"start": 1394.36, "end": 1394.88, "word": " هذه", "probability": 0.8935546875}, {"start": 1394.88, "end": 1395.94, "word": " بلغة", "probability": 0.73486328125}, {"start": 1395.94, "end": 1396.32, "word": " سهلة", "probability": 0.9855143229166666}, {"start": 1396.32, "end": 1397.54, "word": " جدا،", "probability": 0.7978515625}, {"start": 1397.54, "end": 1398.24, "word": " الآن", "probability": 0.74462890625}, {"start": 1398.24, "end": 1399.12, "word": " هيا", "probability": 0.3804931640625}, {"start": 1399.12, "end": 1399.58, "word": " عندنا", "probability": 0.788330078125}, {"start": 1399.58, "end": 1400.02, "word": " صار", "probability": 0.96484375}, {"start": 1400.02, "end": 1400.4, "word": " اللي", "probability": 0.962890625}, {"start": 1400.4, "end": 1400.58, "word": " هو", "probability": 0.994140625}, {"start": 1400.58, "end": 1400.76, "word": " ال", "probability": 0.9814453125}, {"start": 1400.76, "end": 1401.12, "word": " social", "probability": 0.9443359375}, {"start": 1401.12, "end": 1401.32, "word": " و", "probability": 0.6669921875}, {"start": 1401.32, "end": 1401.68, "word": " بدنا", "probability": 0.731689453125}, {"start": 1401.68, "end": 1402.14, "word": " الآن", "probability": 0.851806640625}, {"start": 1402.14, "end": 1403.44, "word": " التانش", "probability": 0.8404947916666666}, {"start": 1403.44, "end": 1405.46, "word": " بدنا", "probability": 0.705810546875}, {"start": 1405.46, "end": 1407.02, "word": " التانش،", "probability": 0.9039306640625}, {"start": 1407.02, "end": 1407.68, "word": " طبعا", "probability": 0.991943359375}, {"start": 1407.68, "end": 1409.0, "word": " قدامك", "probability": 0.9278564453125}, {"start": 1409.0, "end": 1409.5, "word": " أكثر", "probability": 0.8206380208333334}, {"start": 1409.5, "end": 1409.76, "word": " من", "probability": 0.99658203125}, {"start": 1409.76, "end": 1410.36, "word": " طريق", "probability": 0.9453125}], "temperature": 1.0}, {"id": 61, "seek": 143724, "start": 1411.0, "end": 1437.24, "text": "طريق الأول أنه أنا أخد قوش square X ناقص سنش square X يسوي قداش واحد، من هذه بحسب السنش، بصير السنش عندي و القوش عندي، بقدر أجيبله التاني، هذا تفكير، تفكير آخر، بقول لأ أنت حسبت السنش قداش يسوي، بقول له أيوة، قال احنا عنده متفادقة، بتقول إن واحد", "tokens": [9566, 16572, 4587, 16247, 12610, 14739, 3224, 41850, 5551, 9778, 3215, 12174, 2407, 8592, 3732, 1783, 8717, 995, 4587, 9381, 8608, 1863, 8592, 3732, 1783, 7251, 3794, 45865, 12174, 3215, 33599, 36764, 24401, 12399, 9154, 29538, 4724, 5016, 35457, 21136, 1863, 8592, 12399, 4724, 9381, 13546, 21136, 1863, 8592, 18871, 16254, 4032, 25062, 2407, 8592, 18871, 16254, 12399, 4724, 28543, 2288, 5551, 7435, 1829, 3555, 43761, 16712, 7649, 1829, 12399, 23758, 6055, 5172, 4117, 13546, 12399, 6055, 5172, 4117, 13546, 19753, 34740, 12399, 4724, 39648, 5296, 10721, 14739, 2655, 11331, 35457, 2655, 21136, 1863, 8592, 12174, 3215, 33599, 7251, 3794, 45865, 12399, 4724, 39648, 46740, 36632, 2407, 3660, 12399, 50239, 1975, 5016, 8315, 43242, 3224, 44650, 5172, 18513, 28671, 12399, 39894, 39648, 36145, 36764, 24401], "avg_logprob": -0.24702380751333539, "compression_ratio": 1.9454545454545455, "no_speech_prob": 0.0, "words": [{"start": 1411.0, "end": 1411.48, "word": "طريق", "probability": 0.8175455729166666}, {"start": 1411.48, "end": 1412.0, "word": " الأول", "probability": 0.877685546875}, {"start": 1412.0, "end": 1413.02, "word": " أنه", "probability": 0.3680419921875}, {"start": 1413.02, "end": 1413.24, "word": " أنا", "probability": 0.54296875}, {"start": 1413.24, "end": 1413.72, "word": " أخد", "probability": 0.9020182291666666}, {"start": 1413.72, "end": 1414.16, "word": " قوش", "probability": 0.6626790364583334}, {"start": 1414.16, "end": 1414.62, "word": " square", "probability": 0.52685546875}, {"start": 1414.62, "end": 1415.04, "word": " X", "probability": 0.771484375}, {"start": 1415.04, "end": 1415.6, "word": " ناقص", "probability": 0.8087158203125}, {"start": 1415.6, "end": 1415.88, "word": " سنش", "probability": 0.8048502604166666}, {"start": 1415.88, "end": 1416.36, "word": " square", "probability": 0.71826171875}, {"start": 1416.36, "end": 1416.74, "word": " X", "probability": 0.98974609375}, {"start": 1416.74, "end": 1417.14, "word": " يسوي", "probability": 0.728759765625}, {"start": 1417.14, "end": 1417.74, "word": " قداش", "probability": 0.7726236979166666}, {"start": 1417.74, "end": 1418.78, "word": " واحد،", "probability": 0.6943359375}, {"start": 1418.78, "end": 1419.26, "word": " من", "probability": 0.94970703125}, {"start": 1419.26, "end": 1419.62, "word": " هذه", "probability": 0.71875}, {"start": 1419.62, "end": 1420.22, "word": " بحسب", "probability": 0.9677734375}, {"start": 1420.22, "end": 1421.58, "word": " السنش،", "probability": 0.859130859375}, {"start": 1421.58, "end": 1421.86, "word": " بصير", "probability": 0.7854817708333334}, {"start": 1421.86, "end": 1422.46, "word": " السنش", "probability": 0.9840494791666666}, {"start": 1422.46, "end": 1422.86, "word": " عندي", "probability": 0.9697265625}, {"start": 1422.86, "end": 1423.04, "word": " و", "probability": 0.599609375}, {"start": 1423.04, "end": 1423.5, "word": " القوش", "probability": 0.9264322916666666}, {"start": 1423.5, "end": 1424.44, "word": " عندي،", "probability": 0.9295247395833334}, {"start": 1424.44, "end": 1424.9, "word": " بقدر", "probability": 0.9679361979166666}, {"start": 1424.9, "end": 1425.26, "word": " أجيبله", "probability": 0.85556640625}, {"start": 1425.26, "end": 1426.2, "word": " التاني،", "probability": 0.793212890625}, {"start": 1426.2, "end": 1426.5, "word": " هذا", "probability": 0.93701171875}, {"start": 1426.5, "end": 1427.62, "word": " تفكير،", "probability": 0.90986328125}, {"start": 1427.62, "end": 1428.14, "word": " تفكير", "probability": 0.991455078125}, {"start": 1428.14, "end": 1428.76, "word": " آخر،", "probability": 0.6964518229166666}, {"start": 1428.76, "end": 1429.0, "word": " بقول", "probability": 0.837158203125}, {"start": 1429.0, "end": 1429.42, "word": " لأ", "probability": 0.355712890625}, {"start": 1429.42, "end": 1429.76, "word": " أنت", "probability": 0.7001953125}, {"start": 1429.76, "end": 1430.78, "word": " حسبت", "probability": 0.94140625}, {"start": 1430.78, "end": 1431.26, "word": " السنش", "probability": 0.9705403645833334}, {"start": 1431.26, "end": 1431.7, "word": " قداش", "probability": 0.8907877604166666}, {"start": 1431.7, "end": 1432.1, "word": " يسوي،", "probability": 0.7037353515625}, {"start": 1432.1, "end": 1432.44, "word": " بقول", "probability": 0.968994140625}, {"start": 1432.44, "end": 1432.58, "word": " له", "probability": 0.59619140625}, {"start": 1432.58, "end": 1433.54, "word": " أيوة،", "probability": 0.803466796875}, {"start": 1433.54, "end": 1433.76, "word": " قال", "probability": 0.63427734375}, {"start": 1433.76, "end": 1434.08, "word": " احنا", "probability": 0.8937174479166666}, {"start": 1434.08, "end": 1434.5, "word": " عنده", "probability": 0.6136474609375}, {"start": 1434.5, "end": 1435.52, "word": " متفادقة،", "probability": 0.665380859375}, {"start": 1435.52, "end": 1436.06, "word": " بتقول", "probability": 0.926025390625}, {"start": 1436.06, "end": 1436.42, "word": " إن", "probability": 0.5390625}, {"start": 1436.42, "end": 1437.24, "word": " واحد", "probability": 0.926025390625}], "temperature": 1.0}, {"id": 62, "seek": 146376, "start": 1437.46, "end": 1463.76, "text": "نقص تانش سكوير يساوي من؟ سش سكوير نقول الله كلامك مظبوط نقدر نجيب التانية مباشرة يبقى باجي بقوله and ايش عندنا احنا؟ اللي هو من واحد ناقص تانش سكوير تانش سكوير X بده يساوي سش سكوير X", "tokens": [1863, 4587, 9381, 6055, 7649, 8592, 8608, 4117, 2407, 13546, 7251, 3794, 995, 45865, 9154, 22807, 8608, 8592, 8608, 4117, 2407, 13546, 8717, 39648, 21984, 28242, 10943, 4117, 3714, 19913, 3555, 2407, 9566, 8717, 28543, 2288, 8717, 7435, 1829, 3555, 16712, 7649, 10632, 3714, 3555, 33599, 25720, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 293, 1975, 1829, 8592, 43242, 8315, 1975, 5016, 8315, 22807, 13672, 1829, 31439, 9154, 36764, 24401, 8717, 995, 4587, 9381, 6055, 7649, 8592, 8608, 4117, 2407, 13546, 6055, 7649, 8592, 8608, 4117, 2407, 13546, 1783, 47525, 3224, 7251, 3794, 995, 45865, 8608, 8592, 8608, 4117, 2407, 13546, 1783], "avg_logprob": -0.2519162631822082, "compression_ratio": 1.9226190476190477, "no_speech_prob": 0.0, "words": [{"start": 1437.46, "end": 1438.2, "word": "نقص", "probability": 0.6630452473958334}, {"start": 1438.2, "end": 1438.6, "word": " تانش", "probability": 0.7799479166666666}, {"start": 1438.6, "end": 1439.22, "word": " سكوير", "probability": 0.616241455078125}, {"start": 1439.22, "end": 1439.76, "word": " يساوي", "probability": 0.6866455078125}, {"start": 1439.76, "end": 1440.24, "word": " من؟", "probability": 0.4515380859375}, {"start": 1440.24, "end": 1440.74, "word": " سش", "probability": 0.705810546875}, {"start": 1440.74, "end": 1441.32, "word": " سكوير", "probability": 0.9359130859375}, {"start": 1441.32, "end": 1441.68, "word": " نقول", "probability": 0.517333984375}, {"start": 1441.68, "end": 1441.92, "word": " الله", "probability": 0.1903076171875}, {"start": 1441.92, "end": 1442.36, "word": " كلامك", "probability": 0.75927734375}, {"start": 1442.36, "end": 1442.72, "word": " مظبوط", "probability": 0.8205078125}, {"start": 1442.72, "end": 1443.34, "word": " نقدر", "probability": 0.5652669270833334}, {"start": 1443.34, "end": 1443.66, "word": " نجيب", "probability": 0.9718017578125}, {"start": 1443.66, "end": 1444.26, "word": " التانية", "probability": 0.9510091145833334}, {"start": 1444.26, "end": 1445.54, "word": " مباشرة", "probability": 0.9864501953125}, {"start": 1445.54, "end": 1446.38, "word": " يبقى", "probability": 0.9334716796875}, {"start": 1446.38, "end": 1446.74, "word": " باجي", "probability": 0.7327473958333334}, {"start": 1446.74, "end": 1447.54, "word": " بقوله", "probability": 0.7699381510416666}, {"start": 1447.54, "end": 1448.3, "word": " and", "probability": 0.8486328125}, {"start": 1448.3, "end": 1449.94, "word": " ايش", "probability": 0.69873046875}, {"start": 1449.94, "end": 1450.24, "word": " عندنا", "probability": 0.95068359375}, {"start": 1450.24, "end": 1451.2, "word": " احنا؟", "probability": 0.8193359375}, {"start": 1451.2, "end": 1451.38, "word": " اللي", "probability": 0.79345703125}, {"start": 1451.38, "end": 1451.58, "word": " هو", "probability": 0.97802734375}, {"start": 1451.58, "end": 1451.94, "word": " من", "probability": 0.84228515625}, {"start": 1451.94, "end": 1453.32, "word": " واحد", "probability": 0.75390625}, {"start": 1453.32, "end": 1454.32, "word": " ناقص", "probability": 0.893310546875}, {"start": 1454.32, "end": 1454.9, "word": " تانش", "probability": 0.9822591145833334}, {"start": 1454.9, "end": 1455.92, "word": " سكوير", "probability": 0.93408203125}, {"start": 1455.92, "end": 1457.66, "word": " تانش", "probability": 0.9249674479166666}, {"start": 1457.66, "end": 1459.68, "word": " سكوير", "probability": 0.944091796875}, {"start": 1459.68, "end": 1460.48, "word": " X", "probability": 0.389404296875}, {"start": 1460.48, "end": 1461.14, "word": " بده", "probability": 0.60888671875}, {"start": 1461.14, "end": 1461.78, "word": " يساوي", "probability": 0.9849853515625}, {"start": 1461.78, "end": 1462.44, "word": " سش", "probability": 0.945556640625}, {"start": 1462.44, "end": 1463.32, "word": " سكوير", "probability": 0.9501953125}, {"start": 1463.32, "end": 1463.76, "word": " X", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 63, "seek": 147529, "start": 1465.21, "end": 1475.29, "text": "هذه النقطة الثانية في أول متطابقة أخذناها، إذا بدنا نعود فيها مباشرة يبقى هاي الواحد ناقص", "tokens": [3224, 24192, 28239, 47432, 3660, 6024, 104, 7649, 10632, 8978, 5551, 12610, 44650, 9566, 16758, 28671, 5551, 9778, 8848, 8315, 11296, 12399, 11933, 15730, 47525, 8315, 8717, 3615, 23328, 8978, 11296, 3714, 3555, 33599, 25720, 7251, 3555, 4587, 7578, 8032, 47302, 2423, 14407, 24401, 8717, 995, 4587, 9381], "avg_logprob": -0.29416454081632654, "compression_ratio": 1.393162393162393, "no_speech_prob": 0.0, "words": [{"start": 1465.2100000000003, "end": 1466.3300000000002, "word": "هذه", "probability": 0.5443115234375}, {"start": 1466.3300000000002, "end": 1467.45, "word": " النقطة", "probability": 0.8499348958333334}, {"start": 1467.45, "end": 1467.99, "word": " الثانية", "probability": 0.9173583984375}, {"start": 1467.99, "end": 1468.23, "word": " في", "probability": 0.853515625}, {"start": 1468.23, "end": 1468.75, "word": " أول", "probability": 0.887451171875}, {"start": 1468.75, "end": 1469.69, "word": " متطابقة", "probability": 0.7247314453125}, {"start": 1469.69, "end": 1470.69, "word": " أخذناها،", "probability": 0.6968994140625}, {"start": 1470.69, "end": 1471.01, "word": " إذا", "probability": 0.6549072265625}, {"start": 1471.01, "end": 1471.31, "word": " بدنا", "probability": 0.692626953125}, {"start": 1471.31, "end": 1471.63, "word": " نعود", "probability": 0.8592122395833334}, {"start": 1471.63, "end": 1471.99, "word": " فيها", "probability": 0.94482421875}, {"start": 1471.99, "end": 1472.93, "word": " مباشرة", "probability": 0.9930419921875}, {"start": 1472.93, "end": 1473.67, "word": " يبقى", "probability": 0.852783203125}, {"start": 1473.67, "end": 1473.91, "word": " هاي", "probability": 0.3470458984375}, {"start": 1473.91, "end": 1474.49, "word": " الواحد", "probability": 0.9669596354166666}, {"start": 1474.49, "end": 1475.29, "word": " ناقص", "probability": 0.8416748046875}], "temperature": 1.0}, {"id": 64, "seek": 150027, "start": 1481.15, "end": 1500.27, "text": "بدو يساوي الله أعلم تانش بدنا ياما سش سكوير هي السش إذا الخمسة على تلتاشر الكل تربيه هذا بده يعطيك ما يأتي انه تانش square X بده يساوي", "tokens": [3555, 3215, 2407, 7251, 3794, 995, 45865, 21984, 5551, 3615, 19528, 6055, 7649, 8592, 47525, 8315, 7251, 10943, 995, 8608, 8592, 8608, 4117, 2407, 13546, 39896, 21136, 8592, 11933, 15730, 33962, 2304, 3794, 3660, 15844, 6055, 1211, 2655, 33599, 2288, 2423, 28820, 6055, 2288, 21292, 3224, 23758, 47525, 3224, 7251, 3615, 9566, 1829, 4117, 19446, 7251, 10721, 31371, 16472, 3224, 6055, 7649, 8592, 3732, 1783, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.3773871577448315, "compression_ratio": 1.5394736842105263, "no_speech_prob": 0.0, "words": [{"start": 1481.15, "end": 1481.65, "word": "بدو", "probability": 0.2313232421875}, {"start": 1481.65, "end": 1482.41, "word": " يساوي", "probability": 0.9390869140625}, {"start": 1482.41, "end": 1483.23, "word": " الله", "probability": 0.6025390625}, {"start": 1483.23, "end": 1483.83, "word": " أعلم", "probability": 0.7322591145833334}, {"start": 1483.83, "end": 1484.45, "word": " تانش", "probability": 0.7462565104166666}, {"start": 1484.45, "end": 1484.85, "word": " بدنا", "probability": 0.650390625}, {"start": 1484.85, "end": 1485.49, "word": " ياما", "probability": 0.588623046875}, {"start": 1485.49, "end": 1486.13, "word": " سش", "probability": 0.31268310546875}, {"start": 1486.13, "end": 1486.67, "word": " سكوير", "probability": 0.72064208984375}, {"start": 1486.67, "end": 1486.89, "word": " هي", "probability": 0.634765625}, {"start": 1486.89, "end": 1487.55, "word": " السش", "probability": 0.88818359375}, {"start": 1487.55, "end": 1488.17, "word": " إذا", "probability": 0.802490234375}, {"start": 1488.17, "end": 1489.49, "word": " الخمسة", "probability": 0.861572265625}, {"start": 1489.49, "end": 1490.01, "word": " على", "probability": 0.681640625}, {"start": 1490.01, "end": 1491.13, "word": " تلتاشر", "probability": 0.88056640625}, {"start": 1491.13, "end": 1491.81, "word": " الكل", "probability": 0.7303466796875}, {"start": 1491.81, "end": 1492.75, "word": " تربيه", "probability": 0.71636962890625}, {"start": 1492.75, "end": 1493.77, "word": " هذا", "probability": 0.6962890625}, {"start": 1493.77, "end": 1494.17, "word": " بده", "probability": 0.4681396484375}, {"start": 1494.17, "end": 1494.81, "word": " يعطيك", "probability": 0.75986328125}, {"start": 1494.81, "end": 1495.05, "word": " ما", "probability": 0.93896484375}, {"start": 1495.05, "end": 1495.65, "word": " يأتي", "probability": 0.9524739583333334}, {"start": 1495.65, "end": 1496.75, "word": " انه", "probability": 0.6343994140625}, {"start": 1496.75, "end": 1497.69, "word": " تانش", "probability": 0.8505859375}, {"start": 1497.69, "end": 1498.65, "word": " square", "probability": 0.54052734375}, {"start": 1498.65, "end": 1499.27, "word": " X", "probability": 0.6884765625}, {"start": 1499.27, "end": 1499.75, "word": " بده", "probability": 0.90234375}, {"start": 1499.75, "end": 1500.27, "word": " يساوي", "probability": 0.987548828125}], "temperature": 1.0}, {"id": 65, "seek": 153013, "start": 1500.59, "end": 1530.13, "text": "هنا اللي هو مين واحد ناقص واحد ناقص خمسة وعشرين تلتاش في تلتاش بمية وتسعة وستين يبقى بناء عليه أصبح تانش square X يساوي المضاعف المشترك لليه اتنين مية وتسعة وستين بصير مية وتسعة وستين ناقص خمسة وعشرين اللي هو مية واربعة واربعين", "tokens": [3224, 8315, 13672, 1829, 31439, 3714, 9957, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 6055, 1211, 2655, 33599, 8978, 6055, 1211, 2655, 33599, 4724, 2304, 10632, 4032, 2655, 3794, 27884, 4032, 14851, 9957, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 5551, 9381, 49628, 6055, 7649, 8592, 3732, 1783, 7251, 3794, 995, 45865, 9673, 11242, 45761, 5172, 9673, 8592, 2655, 31747, 5296, 20292, 3224, 1975, 2655, 1863, 9957, 3714, 10632, 4032, 2655, 3794, 27884, 4032, 14851, 9957, 4724, 9381, 13546, 3714, 10632, 4032, 2655, 3794, 27884, 4032, 14851, 9957, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 13672, 1829, 31439, 3714, 10632, 4032, 9640, 3555, 27884, 4032, 9640, 3555, 3615, 9957], "avg_logprob": -0.17333984980359674, "compression_ratio": 2.1774193548387095, "no_speech_prob": 0.0052947998046875, "words": [{"start": 1500.59, "end": 1501.11, "word": "هنا", "probability": 0.321044921875}, {"start": 1501.11, "end": 1501.71, "word": " اللي", "probability": 0.80859375}, {"start": 1501.71, "end": 1501.91, "word": " هو", "probability": 0.681640625}, {"start": 1501.91, "end": 1502.33, "word": " مين", "probability": 0.4464111328125}, {"start": 1502.33, "end": 1503.51, "word": " واحد", "probability": 0.880126953125}, {"start": 1503.51, "end": 1504.97, "word": " ناقص", "probability": 0.9571533203125}, {"start": 1504.97, "end": 1506.21, "word": " واحد", "probability": 0.8720703125}, {"start": 1506.21, "end": 1507.29, "word": " ناقص", "probability": 0.9920654296875}, {"start": 1507.29, "end": 1507.97, "word": " خمسة", "probability": 0.96630859375}, {"start": 1507.97, "end": 1508.87, "word": " وعشرين", "probability": 0.9322509765625}, {"start": 1508.87, "end": 1509.73, "word": " تلتاش", "probability": 0.8896484375}, {"start": 1509.73, "end": 1509.87, "word": " في", "probability": 0.404541015625}, {"start": 1509.87, "end": 1510.71, "word": " تلتاش", "probability": 0.9923095703125}, {"start": 1510.71, "end": 1511.77, "word": " بمية", "probability": 0.8497721354166666}, {"start": 1511.77, "end": 1512.79, "word": " وتسعة", "probability": 0.7825927734375}, {"start": 1512.79, "end": 1513.63, "word": " وستين", "probability": 0.9762369791666666}, {"start": 1513.63, "end": 1514.57, "word": " يبقى", "probability": 0.9111328125}, {"start": 1514.57, "end": 1514.99, "word": " بناء", "probability": 0.6982421875}, {"start": 1514.99, "end": 1515.43, "word": " عليه", "probability": 0.64453125}, {"start": 1515.43, "end": 1516.11, "word": " أصبح", "probability": 0.9287109375}, {"start": 1516.11, "end": 1516.71, "word": " تانش", "probability": 0.6454264322916666}, {"start": 1516.71, "end": 1517.39, "word": " square", "probability": 0.426025390625}, {"start": 1517.39, "end": 1517.87, "word": " X", "probability": 0.6376953125}, {"start": 1517.87, "end": 1518.59, "word": " يساوي", "probability": 0.9541015625}, {"start": 1518.59, "end": 1519.73, "word": " المضاعف", "probability": 0.836181640625}, {"start": 1519.73, "end": 1520.47, "word": " المشترك", "probability": 0.986328125}, {"start": 1520.47, "end": 1520.97, "word": " لليه", "probability": 0.6875}, {"start": 1520.97, "end": 1521.25, "word": " اتنين", "probability": 0.9429931640625}, {"start": 1521.25, "end": 1521.55, "word": " مية", "probability": 0.961669921875}, {"start": 1521.55, "end": 1522.13, "word": " وتسعة", "probability": 0.865234375}, {"start": 1522.13, "end": 1523.19, "word": " وستين", "probability": 0.9842122395833334}, {"start": 1523.19, "end": 1524.01, "word": " بصير", "probability": 0.7008463541666666}, {"start": 1524.01, "end": 1524.29, "word": " مية", "probability": 0.95849609375}, {"start": 1524.29, "end": 1524.75, "word": " وتسعة", "probability": 0.943359375}, {"start": 1524.75, "end": 1525.29, "word": " وستين", "probability": 0.9855143229166666}, {"start": 1525.29, "end": 1525.77, "word": " ناقص", "probability": 0.98876953125}, {"start": 1525.77, "end": 1526.27, "word": " خمسة", "probability": 0.992919921875}, {"start": 1526.27, "end": 1526.87, "word": " وعشرين", "probability": 0.9654541015625}, {"start": 1526.87, "end": 1527.03, "word": " اللي", "probability": 0.966064453125}, {"start": 1527.03, "end": 1527.17, "word": " هو", "probability": 0.9326171875}, {"start": 1527.17, "end": 1527.71, "word": " مية", "probability": 0.9677734375}, {"start": 1527.71, "end": 1529.15, "word": " واربعة", "probability": 0.83837890625}, {"start": 1529.15, "end": 1530.13, "word": " واربعين", "probability": 0.981640625}], "temperature": 1.0}, {"id": 66, "seek": 155940, "start": 1530.58, "end": 1559.4, "text": "كويس هذا بده يعطيلك ان تانش ال X بده ساوي اتناشر على تلتاشر بإشارة موجبة لإن في البداية اتاني X مالها greater than zero كويس يبقى أصبح تانش X اللي بده إياها اللي عبارة عن اتناشر على تلتاشر وبالتالي بكون انت هنا من المطلوب الأول ايه هو الفرق يعني ممكن احنا طريقة المجاور المقابل", "tokens": [4117, 45865, 3794, 23758, 47525, 3224, 37495, 9566, 1829, 23275, 16472, 6055, 7649, 8592, 2423, 1783, 47525, 3224, 8608, 995, 45865, 1975, 2655, 1863, 33599, 2288, 15844, 6055, 1211, 2655, 33599, 2288, 4724, 28814, 8592, 9640, 3660, 3714, 29245, 49401, 5296, 28814, 1863, 8978, 29739, 28259, 10632, 1975, 2655, 7649, 1829, 1783, 19446, 1211, 11296, 5044, 813, 4018, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 5551, 9381, 49628, 6055, 7649, 8592, 1783, 13672, 1829, 47525, 3224, 11933, 25528, 11296, 13672, 1829, 6225, 3555, 9640, 3660, 18871, 1975, 2655, 1863, 33599, 2288, 15844, 6055, 1211, 2655, 33599, 2288, 46599, 6027, 2655, 6027, 1829, 4724, 30544, 16472, 2655, 34105, 9154, 9673, 9566, 1211, 37746, 16247, 12610, 1975, 1829, 3224, 31439, 27188, 2288, 4587, 37495, 22653, 3714, 43020, 1975, 5016, 8315, 23032, 16572, 28671, 9673, 7435, 995, 13063, 9673, 4587, 16758, 1211], "avg_logprob": -0.27723215499094556, "compression_ratio": 1.864864864864865, "no_speech_prob": 2.682209014892578e-06, "words": [{"start": 1530.58, "end": 1531.64, "word": "كويس", "probability": 0.6522216796875}, {"start": 1531.64, "end": 1532.3, "word": " هذا", "probability": 0.51806640625}, {"start": 1532.3, "end": 1532.68, "word": " بده", "probability": 0.59326171875}, {"start": 1532.68, "end": 1533.38, "word": " يعطيلك", "probability": 0.75799560546875}, {"start": 1533.38, "end": 1533.8, "word": " ان", "probability": 0.67626953125}, {"start": 1533.8, "end": 1534.84, "word": " تانش", "probability": 0.5980631510416666}, {"start": 1534.84, "end": 1535.16, "word": " ال", "probability": 0.81005859375}, {"start": 1535.16, "end": 1535.6, "word": " X", "probability": 0.65966796875}, {"start": 1535.6, "end": 1536.66, "word": " بده", "probability": 0.693603515625}, {"start": 1536.66, "end": 1537.22, "word": " ساوي", "probability": 0.63037109375}, {"start": 1537.22, "end": 1539.1, "word": " اتناشر", "probability": 0.820263671875}, {"start": 1539.1, "end": 1539.54, "word": " على", "probability": 0.5}, {"start": 1539.54, "end": 1540.58, "word": " تلتاشر", "probability": 0.9361328125}, {"start": 1540.58, "end": 1541.62, "word": " بإشارة", "probability": 0.9310546875}, {"start": 1541.62, "end": 1542.28, "word": " موجبة", "probability": 0.9329427083333334}, {"start": 1542.28, "end": 1542.96, "word": " لإن", "probability": 0.7975260416666666}, {"start": 1542.96, "end": 1543.18, "word": " في", "probability": 0.75146484375}, {"start": 1543.18, "end": 1543.74, "word": " البداية", "probability": 0.8942057291666666}, {"start": 1543.74, "end": 1544.2, "word": " اتاني", "probability": 0.7939453125}, {"start": 1544.2, "end": 1544.44, "word": " X", "probability": 0.96533203125}, {"start": 1544.44, "end": 1544.96, "word": " مالها", "probability": 0.7340494791666666}, {"start": 1544.96, "end": 1545.9, "word": " greater", "probability": 0.76708984375}, {"start": 1545.9, "end": 1546.76, "word": " than", "probability": 0.93408203125}, {"start": 1546.76, "end": 1547.48, "word": " zero", "probability": 0.4931640625}, {"start": 1547.48, "end": 1548.32, "word": " كويس", "probability": 0.8538411458333334}, {"start": 1548.32, "end": 1548.54, "word": " يبقى", "probability": 0.80419921875}, {"start": 1548.54, "end": 1548.96, "word": " أصبح", "probability": 0.781005859375}, {"start": 1548.96, "end": 1549.66, "word": " تانش", "probability": 0.8623046875}, {"start": 1549.66, "end": 1550.08, "word": " X", "probability": 0.8291015625}, {"start": 1550.08, "end": 1550.32, "word": " اللي", "probability": 0.885986328125}, {"start": 1550.32, "end": 1550.66, "word": " بده", "probability": 0.900146484375}, {"start": 1550.66, "end": 1551.16, "word": " إياها", "probability": 0.656982421875}, {"start": 1551.16, "end": 1551.56, "word": " اللي", "probability": 0.749267578125}, {"start": 1551.56, "end": 1552.0, "word": " عبارة", "probability": 0.9471435546875}, {"start": 1552.0, "end": 1552.16, "word": " عن", "probability": 0.92041015625}, {"start": 1552.16, "end": 1552.6, "word": " اتناشر", "probability": 0.89228515625}, {"start": 1552.6, "end": 1552.7, "word": " على", "probability": 0.56689453125}, {"start": 1552.7, "end": 1553.22, "word": " تلتاشر", "probability": 0.99521484375}, {"start": 1553.22, "end": 1553.56, "word": " وبالتالي", "probability": 0.913671875}, {"start": 1553.56, "end": 1553.86, "word": " بكون", "probability": 0.629638671875}, {"start": 1553.86, "end": 1554.1, "word": " انت", "probability": 0.8291015625}, {"start": 1554.1, "end": 1554.36, "word": " هنا", "probability": 0.9453125}, {"start": 1554.36, "end": 1554.54, "word": " من", "probability": 0.95947265625}, {"start": 1554.54, "end": 1555.42, "word": " المطلوب", "probability": 0.9835205078125}, {"start": 1555.42, "end": 1555.88, "word": " الأول", "probability": 0.9365234375}, {"start": 1555.88, "end": 1556.26, "word": " ايه", "probability": 0.5814208984375}, {"start": 1556.26, "end": 1556.42, "word": " هو", "probability": 0.640625}, {"start": 1556.42, "end": 1556.96, "word": " الفرق", "probability": 0.6988932291666666}, {"start": 1556.96, "end": 1557.46, "word": " يعني", "probability": 0.790283203125}, {"start": 1557.46, "end": 1557.76, "word": " ممكن", "probability": 0.945068359375}, {"start": 1557.76, "end": 1557.96, "word": " احنا", "probability": 0.5821126302083334}, {"start": 1557.96, "end": 1558.36, "word": " طريقة", "probability": 0.80029296875}, {"start": 1558.36, "end": 1558.82, "word": " المجاور", "probability": 0.72119140625}, {"start": 1558.82, "end": 1559.4, "word": " المقابل", "probability": 0.8287353515625}], "temperature": 1.0}, {"id": 67, "seek": 158696, "start": 1560.06, "end": 1586.96, "text": "هذه دوالة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثل", "tokens": [3224, 24192, 11778, 2407, 6027, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211, 12984, 3660, 50113, 1211], "avg_logprob": -0.042465276188320585, "compression_ratio": 15.45, "no_speech_prob": 0.0, "words": [{"start": 1560.06, "end": 1561.32, "word": "هذه", "probability": 0.675537109375}, {"start": 1561.32, "end": 1561.66, "word": " دوالة", "probability": 0.7705078125}, {"start": 1561.66, "end": 1562.7, "word": " مثلثة", "probability": 0.8970947265625}, {"start": 1562.7, "end": 1565.64, "word": " مثلثة", "probability": 0.59881591796875}, {"start": 1565.64, "end": 1567.06, "word": " مثلثة", "probability": 0.7022705078125}, {"start": 1567.06, "end": 1567.06, "word": " مثلثة", "probability": 0.90966796875}, {"start": 1567.06, "end": 1567.76, "word": " مثلثة", "probability": 0.9571533203125}, {"start": 1567.76, "end": 1568.72, "word": " مثلثة", "probability": 0.97119140625}, {"start": 1568.72, "end": 1568.72, "word": " مثلثة", "probability": 0.97900390625}, {"start": 1568.72, "end": 1568.72, "word": " مثلثة", "probability": 0.9842529296875}, {"start": 1568.72, "end": 1568.72, "word": " مثلثة", "probability": 0.98779296875}, {"start": 1568.72, "end": 1568.72, "word": " مثلثة", "probability": 0.9898681640625}, {"start": 1568.72, "end": 1568.86, "word": " مثلثة", "probability": 0.9910888671875}, {"start": 1568.86, "end": 1569.2, "word": " مثلثة", "probability": 0.9918212890625}, {"start": 1569.2, "end": 1570.98, "word": " مثلثة", "probability": 0.9923095703125}, {"start": 1570.98, "end": 1570.98, "word": " مثلثة", "probability": 0.9927978515625}, {"start": 1570.98, "end": 1571.14, "word": " مثلثة", "probability": 0.9930419921875}, {"start": 1571.14, "end": 1572.16, "word": " مثلثة", "probability": 0.9931640625}, {"start": 1572.16, "end": 1572.34, "word": " مثلثة", "probability": 0.9931640625}, {"start": 1572.34, "end": 1572.34, "word": " مثلثة", "probability": 0.9935302734375}, {"start": 1572.34, "end": 1572.34, "word": " مثلثة", "probability": 0.9935302734375}, {"start": 1572.34, "end": 1572.34, "word": " مثلثة", "probability": 0.9940185546875}, {"start": 1572.34, "end": 1572.34, "word": " مثلثة", "probability": 0.9940185546875}, {"start": 1572.34, "end": 1572.34, "word": " مثلثة", "probability": 0.9942626953125}, {"start": 1572.34, "end": 1572.6, "word": " مثلثة", "probability": 0.994384765625}, {"start": 1572.6, "end": 1572.92, "word": " مثلثة", "probability": 0.9945068359375}, {"start": 1572.92, "end": 1572.92, "word": " مثلثة", "probability": 0.9947509765625}, {"start": 1572.92, "end": 1572.92, "word": " مثلثة", "probability": 0.9949951171875}, {"start": 1572.92, "end": 1573.58, "word": " مثلثة", "probability": 0.994873046875}, {"start": 1573.58, "end": 1574.3, "word": " مثلثة", "probability": 0.9952392578125}, {"start": 1574.3, "end": 1575.1, "word": " مثلثة", "probability": 0.9952392578125}, {"start": 1575.1, "end": 1575.78, "word": " مثلثة", "probability": 0.995361328125}, {"start": 1575.78, "end": 1575.78, "word": " مثلثة", "probability": 0.99560546875}, {"start": 1575.78, "end": 1575.78, "word": " مثلثة", "probability": 0.99560546875}, {"start": 1575.78, "end": 1575.88, "word": " مثلثة", "probability": 0.9957275390625}, {"start": 1575.88, "end": 1576.36, "word": " مثلثة", "probability": 0.99560546875}, {"start": 1576.36, "end": 1577.38, "word": " مثلثة", "probability": 0.9957275390625}, {"start": 1577.38, "end": 1578.38, "word": " مثلثة", "probability": 0.9957275390625}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.9959716796875}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.9959716796875}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.995849609375}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.995849609375}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.9957275390625}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.9957275390625}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.9957275390625}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.9954833984375}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.9954833984375}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.9954833984375}, {"start": 1578.38, "end": 1578.38, "word": " مثلثة", "probability": 0.9954833984375}, {"start": 1578.38, "end": 1578.4, "word": " مثلثة", "probability": 0.9949951171875}, {"start": 1578.4, "end": 1578.54, "word": " مثلثة", "probability": 0.9951171875}, {"start": 1578.54, "end": 1578.54, "word": " مثلثة", "probability": 0.994873046875}, {"start": 1578.54, "end": 1579.36, "word": " مثلثة", "probability": 0.994873046875}, {"start": 1579.36, "end": 1580.72, "word": " مثلثة", "probability": 0.994384765625}, {"start": 1580.72, "end": 1582.4, "word": " مثلثة", "probability": 0.9940185546875}, {"start": 1582.4, "end": 1584.16, "word": " مثلثة", "probability": 0.9935302734375}, {"start": 1584.16, "end": 1586.96, "word": " مثل", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 68, "seek": 161324, "start": 1588.76, "end": 1613.24, "text": "أه يمكن يجربوا لبعض، بس يمكن يجربوا ليس لبعض، تمام؟ احنا بنقول شكلًا تفرق عن بعض بالحرف إتش، لكن هذا الفرق جعل فرق مفتاشة ما بين الأثنين طيب إذا بتلاقي المثلث كل عنه، خلّيني أستفيد برضه، مش غلط، ماشي؟ طيب، خلصوا المطلوب الأول إن هو نمرة A، بدنا نيجي لنمرة B", "tokens": [10721, 3224, 7251, 43020, 7251, 7435, 25513, 14407, 5296, 3555, 3615, 11242, 12399, 4724, 3794, 7251, 43020, 7251, 7435, 25513, 14407, 32239, 3794, 5296, 3555, 3615, 11242, 12399, 46811, 10943, 22807, 1975, 5016, 8315, 44945, 39648, 13412, 28820, 14111, 995, 6055, 5172, 2288, 4587, 18871, 45030, 11242, 20666, 5016, 28480, 11933, 2655, 8592, 12399, 44381, 23758, 27188, 2288, 4587, 10874, 30241, 6156, 2288, 4587, 3714, 5172, 2655, 33599, 3660, 19446, 49374, 16247, 12984, 1863, 9957, 23032, 1829, 3555, 11933, 15730, 39894, 15040, 38436, 9673, 12984, 1211, 12984, 28242, 18871, 3224, 12399, 16490, 1211, 11703, 9957, 1829, 5551, 14851, 5172, 25708, 4724, 43042, 3224, 12399, 37893, 32771, 1211, 9566, 12399, 3714, 33599, 1829, 22807, 23032, 1829, 3555, 12399, 16490, 1211, 9381, 14407, 9673, 9566, 1211, 37746, 16247, 12610, 36145, 31439, 8717, 2304, 25720, 316, 12399, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 1863, 2304, 25720, 363], "avg_logprob": -0.2673373371362686, "compression_ratio": 1.855421686746988, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1588.76, "end": 1589.08, "word": "أه", "probability": 0.39447021484375}, {"start": 1589.08, "end": 1589.44, "word": " يمكن", "probability": 0.928955078125}, {"start": 1589.44, "end": 1589.86, "word": " يجربوا", "probability": 0.7828369140625}, {"start": 1589.86, "end": 1590.18, "word": " لبعض،", "probability": 0.826953125}, {"start": 1590.18, "end": 1590.3, "word": " بس", "probability": 0.869384765625}, {"start": 1590.3, "end": 1590.54, "word": " يمكن", "probability": 0.357666015625}, {"start": 1590.54, "end": 1590.84, "word": " يجربوا", "probability": 0.649749755859375}, {"start": 1590.84, "end": 1590.94, "word": " ليس", "probability": 0.6009521484375}, {"start": 1590.94, "end": 1591.82, "word": " لبعض،", "probability": 0.83212890625}, {"start": 1591.82, "end": 1593.2, "word": " تمام؟", "probability": 0.7257486979166666}, {"start": 1593.2, "end": 1593.62, "word": " احنا", "probability": 0.90966796875}, {"start": 1593.62, "end": 1594.14, "word": " بنقول", "probability": 0.8486328125}, {"start": 1594.14, "end": 1595.36, "word": " شكلًا", "probability": 0.73291015625}, {"start": 1595.36, "end": 1596.14, "word": " تفرق", "probability": 0.7818603515625}, {"start": 1596.14, "end": 1596.26, "word": " عن", "probability": 0.912109375}, {"start": 1596.26, "end": 1596.48, "word": " بعض", "probability": 0.987548828125}, {"start": 1596.48, "end": 1597.02, "word": " بالحرف", "probability": 0.740478515625}, {"start": 1597.02, "end": 1597.44, "word": " إتش،", "probability": 0.5496826171875}, {"start": 1597.44, "end": 1597.66, "word": " لكن", "probability": 0.97021484375}, {"start": 1597.66, "end": 1598.0, "word": " هذا", "probability": 0.9853515625}, {"start": 1598.0, "end": 1598.54, "word": " الفرق", "probability": 0.98681640625}, {"start": 1598.54, "end": 1599.16, "word": " جعل", "probability": 0.996337890625}, {"start": 1599.16, "end": 1599.64, "word": " فرق", "probability": 0.9708658854166666}, {"start": 1599.64, "end": 1600.48, "word": " مفتاشة", "probability": 0.70625}, {"start": 1600.48, "end": 1600.62, "word": " ما", "probability": 0.865234375}, {"start": 1600.62, "end": 1600.96, "word": " بين", "probability": 0.99462890625}, {"start": 1600.96, "end": 1601.6, "word": " الأثنين", "probability": 0.79443359375}, {"start": 1601.6, "end": 1602.18, "word": " طيب", "probability": 0.8815104166666666}, {"start": 1602.18, "end": 1602.36, "word": " إذا", "probability": 0.810791015625}, {"start": 1602.36, "end": 1602.84, "word": " بتلاقي", "probability": 0.8028971354166666}, {"start": 1602.84, "end": 1603.58, "word": " المثلث", "probability": 0.8892822265625}, {"start": 1603.58, "end": 1603.88, "word": " كل", "probability": 0.1851806640625}, {"start": 1603.88, "end": 1604.48, "word": " عنه،", "probability": 0.7870279947916666}, {"start": 1604.48, "end": 1604.86, "word": " خلّيني", "probability": 0.85322265625}, {"start": 1604.86, "end": 1605.38, "word": " أستفيد", "probability": 0.9306640625}, {"start": 1605.38, "end": 1605.78, "word": " برضه،", "probability": 0.9400634765625}, {"start": 1605.78, "end": 1605.92, "word": " مش", "probability": 0.95947265625}, {"start": 1605.92, "end": 1606.58, "word": " غلط،", "probability": 0.8626708984375}, {"start": 1606.58, "end": 1607.86, "word": " ماشي؟", "probability": 0.86669921875}, {"start": 1607.86, "end": 1608.52, "word": " طيب،", "probability": 0.8779296875}, {"start": 1608.52, "end": 1609.0, "word": " خلصوا", "probability": 0.79248046875}, {"start": 1609.0, "end": 1609.44, "word": " المطلوب", "probability": 0.81414794921875}, {"start": 1609.44, "end": 1609.82, "word": " الأول", "probability": 0.989501953125}, {"start": 1609.82, "end": 1609.98, "word": " إن", "probability": 0.26904296875}, {"start": 1609.98, "end": 1610.16, "word": " هو", "probability": 0.62353515625}, {"start": 1610.16, "end": 1610.58, "word": " نمرة", "probability": 0.8595377604166666}, {"start": 1610.58, "end": 1611.34, "word": " A،", "probability": 0.76611328125}, {"start": 1611.34, "end": 1611.66, "word": " بدنا", "probability": 0.96142578125}, {"start": 1611.66, "end": 1612.02, "word": " نيجي", "probability": 0.911376953125}, {"start": 1612.02, "end": 1612.64, "word": " لنمرة", "probability": 0.956787109375}, {"start": 1612.64, "end": 1613.24, "word": " B", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 69, "seek": 162912, "start": 1614.82, "end": 1629.12, "text": "نمر بيه ويقول هاتلي قيمة X التي جعلت هذا المقدار يساوي تلات عشر على خمسة بقوله يبقى انت عند جوش ال X بده يساوي", "tokens": [1863, 29973, 4724, 1829, 3224, 4032, 1829, 39648, 8032, 9307, 20292, 12174, 32640, 3660, 1783, 38392, 10874, 30241, 2655, 23758, 9673, 28543, 9640, 7251, 3794, 995, 45865, 6055, 1211, 9307, 6225, 46309, 15844, 16490, 2304, 3794, 3660, 4724, 39648, 3224, 7251, 3555, 4587, 7578, 16472, 2655, 43242, 10874, 2407, 8592, 2423, 1783, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.26522774110406133, "compression_ratio": 1.5476190476190477, "no_speech_prob": 0.0, "words": [{"start": 1614.82, "end": 1615.24, "word": "نمر", "probability": 0.3717041015625}, {"start": 1615.24, "end": 1615.48, "word": " بيه", "probability": 0.8533528645833334}, {"start": 1615.48, "end": 1615.68, "word": " ويقول", "probability": 0.7100423177083334}, {"start": 1615.68, "end": 1616.18, "word": " هاتلي", "probability": 0.714111328125}, {"start": 1616.18, "end": 1616.86, "word": " قيمة", "probability": 0.9925130208333334}, {"start": 1616.86, "end": 1617.3, "word": " X", "probability": 0.4755859375}, {"start": 1617.3, "end": 1617.86, "word": " التي", "probability": 0.88037109375}, {"start": 1617.86, "end": 1618.66, "word": " جعلت", "probability": 0.9900716145833334}, {"start": 1618.66, "end": 1619.0, "word": " هذا", "probability": 0.9482421875}, {"start": 1619.0, "end": 1619.72, "word": " المقدار", "probability": 0.892578125}, {"start": 1619.72, "end": 1620.32, "word": " يساوي", "probability": 0.82464599609375}, {"start": 1620.32, "end": 1620.8, "word": " تلات", "probability": 0.6839192708333334}, {"start": 1620.8, "end": 1621.34, "word": " عشر", "probability": 0.740478515625}, {"start": 1621.34, "end": 1621.88, "word": " على", "probability": 0.6982421875}, {"start": 1621.88, "end": 1622.74, "word": " خمسة", "probability": 0.9639892578125}, {"start": 1622.74, "end": 1623.66, "word": " بقوله", "probability": 0.6233723958333334}, {"start": 1623.66, "end": 1624.68, "word": " يبقى", "probability": 0.97314453125}, {"start": 1624.68, "end": 1625.14, "word": " انت", "probability": 0.682861328125}, {"start": 1625.14, "end": 1625.6, "word": " عند", "probability": 0.99658203125}, {"start": 1625.6, "end": 1626.46, "word": " جوش", "probability": 0.7249348958333334}, {"start": 1626.46, "end": 1626.76, "word": " ال", "probability": 0.8173828125}, {"start": 1626.76, "end": 1627.5, "word": " X", "probability": 0.88037109375}, {"start": 1627.5, "end": 1628.62, "word": " بده", "probability": 0.725341796875}, {"start": 1628.62, "end": 1629.12, "word": " يساوي", "probability": 0.981689453125}], "temperature": 1.0}, {"id": 70, "seek": 165326, "start": 1630.28, "end": 1653.26, "text": "ولو كنا ماخدين المعكوز كما قلنا X يساوي جوش Inverse بس انا مااخدناش اللي ممكن نعرفوش تمام لكن اخدنا ال exponential اللي الجوش بدلات ال exponential E وال 6 زائد E و اصناق ال 6 على 2 هذا اللي بده يساوي جداش اللي هو 13 على 5", "tokens": [12610, 2407, 9122, 8315, 3714, 47283, 3215, 9957, 9673, 3615, 4117, 2407, 11622, 9122, 15042, 12174, 1211, 8315, 1783, 7251, 3794, 995, 45865, 10874, 2407, 8592, 682, 4308, 4724, 3794, 1975, 8315, 19446, 47283, 3215, 8315, 8592, 13672, 1829, 3714, 43020, 8717, 3615, 28480, 2407, 8592, 46811, 10943, 44381, 1975, 9778, 3215, 8315, 2423, 21510, 13672, 1829, 25724, 2407, 8592, 47525, 1211, 9307, 2423, 21510, 462, 16070, 1386, 30767, 16373, 3215, 462, 4032, 1975, 9381, 8315, 4587, 2423, 1386, 15844, 568, 23758, 13672, 1829, 47525, 3224, 7251, 3794, 995, 45865, 10874, 3215, 33599, 13672, 1829, 31439, 3705, 15844, 1025], "avg_logprob": -0.424999988079071, "compression_ratio": 1.7463414634146341, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1630.28, "end": 1631.2, "word": "ولو", "probability": 0.53082275390625}, {"start": 1631.2, "end": 1631.5, "word": " كنا", "probability": 0.804931640625}, {"start": 1631.5, "end": 1632.08, "word": " ماخدين", "probability": 0.684478759765625}, {"start": 1632.08, "end": 1633.1, "word": " المعكوز", "probability": 0.73974609375}, {"start": 1633.1, "end": 1633.46, "word": " كما", "probability": 0.42138671875}, {"start": 1633.46, "end": 1634.12, "word": " قلنا", "probability": 0.7825520833333334}, {"start": 1634.12, "end": 1634.68, "word": " X", "probability": 0.328369140625}, {"start": 1634.68, "end": 1635.14, "word": " يساوي", "probability": 0.622100830078125}, {"start": 1635.14, "end": 1635.5, "word": " جوش", "probability": 0.7042643229166666}, {"start": 1635.5, "end": 1635.98, "word": " Inverse", "probability": 0.6015625}, {"start": 1635.98, "end": 1636.2, "word": " بس", "probability": 0.6612548828125}, {"start": 1636.2, "end": 1636.34, "word": " انا", "probability": 0.5267333984375}, {"start": 1636.34, "end": 1636.92, "word": " مااخدناش", "probability": 0.544140625}, {"start": 1636.92, "end": 1637.02, "word": " اللي", "probability": 0.5543212890625}, {"start": 1637.02, "end": 1637.26, "word": " ممكن", "probability": 0.739501953125}, {"start": 1637.26, "end": 1638.04, "word": " نعرفوش", "probability": 0.8443359375}, {"start": 1638.04, "end": 1638.9, "word": " تمام", "probability": 0.82568359375}, {"start": 1638.9, "end": 1639.42, "word": " لكن", "probability": 0.1832275390625}, {"start": 1639.42, "end": 1640.02, "word": " اخدنا", "probability": 0.8624267578125}, {"start": 1640.02, "end": 1640.16, "word": " ال", "probability": 0.7509765625}, {"start": 1640.16, "end": 1640.76, "word": " exponential", "probability": 0.389404296875}, {"start": 1640.76, "end": 1641.16, "word": " اللي", "probability": 0.620361328125}, {"start": 1641.16, "end": 1641.96, "word": " الجوش", "probability": 0.8575846354166666}, {"start": 1641.96, "end": 1642.42, "word": " بدلات", "probability": 0.7809244791666666}, {"start": 1642.42, "end": 1642.54, "word": " ال", "probability": 0.86181640625}, {"start": 1642.54, "end": 1643.44, "word": " exponential", "probability": 0.79052734375}, {"start": 1643.44, "end": 1644.18, "word": " E", "probability": 0.7802734375}, {"start": 1644.18, "end": 1644.44, "word": " وال", "probability": 0.57958984375}, {"start": 1644.44, "end": 1644.76, "word": " 6", "probability": 0.265869140625}, {"start": 1644.76, "end": 1645.44, "word": " زائد", "probability": 0.8873697916666666}, {"start": 1645.44, "end": 1645.72, "word": " E", "probability": 0.9755859375}, {"start": 1645.72, "end": 1645.84, "word": " و", "probability": 0.3330078125}, {"start": 1645.84, "end": 1646.26, "word": " اصناق", "probability": 0.64068603515625}, {"start": 1646.26, "end": 1646.42, "word": " ال", "probability": 0.6904296875}, {"start": 1646.42, "end": 1646.76, "word": " 6", "probability": 0.890625}, {"start": 1646.76, "end": 1647.16, "word": " على", "probability": 0.68212890625}, {"start": 1647.16, "end": 1647.76, "word": " 2", "probability": 0.95654296875}, {"start": 1647.76, "end": 1648.7, "word": " هذا", "probability": 0.94384765625}, {"start": 1648.7, "end": 1648.9, "word": " اللي", "probability": 0.970703125}, {"start": 1648.9, "end": 1649.26, "word": " بده", "probability": 0.819580078125}, {"start": 1649.26, "end": 1649.68, "word": " يساوي", "probability": 0.981201171875}, {"start": 1649.68, "end": 1650.18, "word": " جداش", "probability": 0.6322428385416666}, {"start": 1650.18, "end": 1650.32, "word": " اللي", "probability": 0.626220703125}, {"start": 1650.32, "end": 1650.5, "word": " هو", "probability": 0.94921875}, {"start": 1650.5, "end": 1651.24, "word": " 13", "probability": 0.748046875}, {"start": 1651.24, "end": 1652.52, "word": " على", "probability": 0.7041015625}, {"start": 1652.52, "end": 1653.26, "word": " 5", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 71, "seek": 167846, "start": 1654.92, "end": 1678.46, "text": "المعادلة اللى عندنا هذه حولنا مسألة بدلالة ال EOS X ال EOS X هذه بقدر عليها بقدر اشتغل بيمين و شمال زي ما بدى هذه المعادلة لو روح ضرب ضرب التبادل يبصى لنا ايه؟ خمسة EOS X زائد خمسة EOS نقص X يسبج اداش ستة و عشرين", "tokens": [45340, 3615, 18513, 37977, 13672, 7578, 43242, 8315, 29538, 11331, 12610, 8315, 47524, 10721, 37977, 47525, 1211, 6027, 3660, 2423, 462, 4367, 1783, 2423, 462, 4367, 1783, 29538, 4724, 28543, 2288, 25894, 11296, 4724, 28543, 2288, 1975, 8592, 2655, 17082, 1211, 4724, 32640, 9957, 4032, 13412, 2304, 6027, 30767, 1829, 19446, 47525, 7578, 29538, 9673, 3615, 18513, 37977, 45164, 12602, 2407, 5016, 48812, 25513, 48812, 25513, 16712, 3555, 18513, 1211, 7251, 3555, 9381, 7578, 5296, 8315, 1975, 1829, 3224, 22807, 16490, 2304, 3794, 3660, 462, 4367, 1783, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 462, 4367, 8717, 4587, 9381, 1783, 7251, 35457, 7435, 1975, 3215, 33599, 8608, 2655, 3660, 4032, 6225, 46309, 9957], "avg_logprob": -0.27357456846195355, "compression_ratio": 1.846938775510204, "no_speech_prob": 0.0, "words": [{"start": 1654.92, "end": 1655.76, "word": "المعادلة", "probability": 0.8287353515625}, {"start": 1655.76, "end": 1655.96, "word": " اللى", "probability": 0.57421875}, {"start": 1655.96, "end": 1656.5, "word": " عندنا", "probability": 0.919677734375}, {"start": 1656.5, "end": 1657.0, "word": " هذه", "probability": 0.324462890625}, {"start": 1657.0, "end": 1659.34, "word": " حولنا", "probability": 0.8040364583333334}, {"start": 1659.34, "end": 1660.02, "word": " مسألة", "probability": 0.8396809895833334}, {"start": 1660.02, "end": 1660.78, "word": " بدلالة", "probability": 0.8475341796875}, {"start": 1660.78, "end": 1660.96, "word": " ال", "probability": 0.619140625}, {"start": 1660.96, "end": 1661.28, "word": " EOS", "probability": 0.454833984375}, {"start": 1661.28, "end": 1661.56, "word": " X", "probability": 0.299072265625}, {"start": 1661.56, "end": 1661.7, "word": " ال", "probability": 0.2318115234375}, {"start": 1661.7, "end": 1661.98, "word": " EOS", "probability": 0.93359375}, {"start": 1661.98, "end": 1662.2, "word": " X", "probability": 0.94970703125}, {"start": 1662.2, "end": 1662.46, "word": " هذه", "probability": 0.296875}, {"start": 1662.46, "end": 1662.9, "word": " بقدر", "probability": 0.8924153645833334}, {"start": 1662.9, "end": 1663.38, "word": " عليها", "probability": 0.9638671875}, {"start": 1663.38, "end": 1664.24, "word": " بقدر", "probability": 0.9075520833333334}, {"start": 1664.24, "end": 1664.66, "word": " اشتغل", "probability": 0.93857421875}, {"start": 1664.66, "end": 1665.08, "word": " بيمين", "probability": 0.6295572916666666}, {"start": 1665.08, "end": 1665.22, "word": " و", "probability": 0.984375}, {"start": 1665.22, "end": 1665.56, "word": " شمال", "probability": 0.8831380208333334}, {"start": 1665.56, "end": 1665.8, "word": " زي", "probability": 0.743896484375}, {"start": 1665.8, "end": 1665.92, "word": " ما", "probability": 0.87890625}, {"start": 1665.92, "end": 1666.22, "word": " بدى", "probability": 0.599853515625}, {"start": 1666.22, "end": 1666.52, "word": " هذه", "probability": 0.8232421875}, {"start": 1666.52, "end": 1667.3, "word": " المعادلة", "probability": 0.9923095703125}, {"start": 1667.3, "end": 1667.94, "word": " لو", "probability": 0.91357421875}, {"start": 1667.94, "end": 1668.18, "word": " روح", "probability": 0.8751627604166666}, {"start": 1668.18, "end": 1668.58, "word": " ضرب", "probability": 0.757568359375}, {"start": 1668.58, "end": 1668.92, "word": " ضرب", "probability": 0.93408203125}, {"start": 1668.92, "end": 1669.52, "word": " التبادل", "probability": 0.9468994140625}, {"start": 1669.52, "end": 1669.82, "word": " يبصى", "probability": 0.671630859375}, {"start": 1669.82, "end": 1670.02, "word": " لنا", "probability": 0.33740234375}, {"start": 1670.02, "end": 1670.54, "word": " ايه؟", "probability": 0.58355712890625}, {"start": 1670.54, "end": 1671.84, "word": " خمسة", "probability": 0.8863525390625}, {"start": 1671.84, "end": 1672.4, "word": " EOS", "probability": 0.9541015625}, {"start": 1672.4, "end": 1672.82, "word": " X", "probability": 0.97216796875}, {"start": 1672.82, "end": 1673.48, "word": " زائد", "probability": 0.9228515625}, {"start": 1673.48, "end": 1674.26, "word": " خمسة", "probability": 0.992431640625}, {"start": 1674.26, "end": 1674.74, "word": " EOS", "probability": 0.986083984375}, {"start": 1674.74, "end": 1675.28, "word": " نقص", "probability": 0.6516927083333334}, {"start": 1675.28, "end": 1675.62, "word": " X", "probability": 0.9833984375}, {"start": 1675.62, "end": 1676.52, "word": " يسبج", "probability": 0.8160807291666666}, {"start": 1676.52, "end": 1677.16, "word": " اداش", "probability": 0.585693359375}, {"start": 1677.16, "end": 1677.92, "word": " ستة", "probability": 0.795166015625}, {"start": 1677.92, "end": 1678.0, "word": " و", "probability": 0.87060546875}, {"start": 1678.0, "end": 1678.46, "word": " عشرين", "probability": 0.8077799479166666}], "temperature": 1.0}, {"id": 72, "seek": 170563, "start": 1679.45, "end": 1705.63, "text": "هذه الأس سالب والأس موجب لا أعجبني فهو يريد أن يتخلص من السالب و يتعامل معاه يعني يريد أس واحد يتعامل معاه إذا لو رحت ضربت طرفي المعادلة في E أس X بس هنا لدينا خمسة E أس X لكل تربيع زائد خمسة بده يساوي لهو ستة وعشرين E أس X", "tokens": [3224, 24192, 16247, 3794, 8608, 6027, 3555, 16070, 10721, 3794, 3714, 29245, 3555, 20193, 5551, 3615, 7435, 3555, 22653, 6156, 3224, 2407, 7251, 16572, 3215, 14739, 7251, 2655, 9778, 1211, 9381, 9154, 21136, 6027, 3555, 4032, 7251, 2655, 3615, 10943, 1211, 20449, 40294, 37495, 22653, 7251, 16572, 3215, 5551, 3794, 36764, 24401, 7251, 2655, 3615, 10943, 1211, 20449, 40294, 11933, 15730, 45164, 12602, 33753, 48812, 25513, 2655, 23032, 28480, 1829, 9673, 3615, 18513, 37977, 8978, 462, 5551, 3794, 1783, 4724, 3794, 34105, 5296, 16254, 8315, 16490, 2304, 3794, 3660, 462, 5551, 3794, 1783, 5296, 28820, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 47525, 3224, 7251, 3794, 995, 45865, 46740, 2407, 8608, 2655, 3660, 4032, 3615, 46309, 9957, 462, 5551, 3794, 1783], "avg_logprob": -0.40600197537550853, "compression_ratio": 1.9211822660098523, "no_speech_prob": 0.0, "words": [{"start": 1679.45, "end": 1680.23, "word": "هذه", "probability": 0.286376953125}, {"start": 1680.23, "end": 1680.83, "word": " الأس", "probability": 0.4295654296875}, {"start": 1680.83, "end": 1681.17, "word": " سالب", "probability": 0.7115885416666666}, {"start": 1681.17, "end": 1681.55, "word": " والأس", "probability": 0.8279622395833334}, {"start": 1681.55, "end": 1682.01, "word": " موجب", "probability": 0.7931315104166666}, {"start": 1682.01, "end": 1682.15, "word": " لا", "probability": 0.21826171875}, {"start": 1682.15, "end": 1683.17, "word": " أعجبني", "probability": 0.78642578125}, {"start": 1683.17, "end": 1683.65, "word": " فهو", "probability": 0.3163248697916667}, {"start": 1683.65, "end": 1683.71, "word": " يريد", "probability": 0.7490234375}, {"start": 1683.71, "end": 1683.71, "word": " أن", "probability": 0.3388671875}, {"start": 1683.71, "end": 1684.21, "word": " يتخلص", "probability": 0.842529296875}, {"start": 1684.21, "end": 1684.35, "word": " من", "probability": 0.94384765625}, {"start": 1684.35, "end": 1684.73, "word": " السالب", "probability": 0.75439453125}, {"start": 1684.73, "end": 1684.85, "word": " و", "probability": 0.67529296875}, {"start": 1684.85, "end": 1685.29, "word": " يتعامل", "probability": 0.688330078125}, {"start": 1685.29, "end": 1685.77, "word": " معاه", "probability": 0.754638671875}, {"start": 1685.77, "end": 1686.29, "word": " يعني", "probability": 0.5498046875}, {"start": 1686.29, "end": 1686.53, "word": " يريد", "probability": 0.7201334635416666}, {"start": 1686.53, "end": 1686.87, "word": " أس", "probability": 0.6075439453125}, {"start": 1686.87, "end": 1687.33, "word": " واحد", "probability": 0.9775390625}, {"start": 1687.33, "end": 1687.87, "word": " يتعامل", "probability": 0.90595703125}, {"start": 1687.87, "end": 1688.25, "word": " معاه", "probability": 0.972412109375}, {"start": 1688.25, "end": 1689.35, "word": " إذا", "probability": 0.569580078125}, {"start": 1689.35, "end": 1689.63, "word": " لو", "probability": 0.6328125}, {"start": 1689.63, "end": 1689.93, "word": " رحت", "probability": 0.404541015625}, {"start": 1689.93, "end": 1690.57, "word": " ضربت", "probability": 0.7589518229166666}, {"start": 1690.57, "end": 1691.23, "word": " طرفي", "probability": 0.7240397135416666}, {"start": 1691.23, "end": 1692.17, "word": " المعادلة", "probability": 0.974853515625}, {"start": 1692.17, "end": 1692.49, "word": " في", "probability": 0.833984375}, {"start": 1692.49, "end": 1692.81, "word": " E", "probability": 0.76513671875}, {"start": 1692.81, "end": 1693.37, "word": " أس", "probability": 0.5399169921875}, {"start": 1693.37, "end": 1693.77, "word": " X", "probability": 0.9697265625}, {"start": 1693.77, "end": 1694.45, "word": " بس", "probability": 0.47802734375}, {"start": 1694.45, "end": 1694.59, "word": " هنا", "probability": 0.38916015625}, {"start": 1694.59, "end": 1694.93, "word": " لدينا", "probability": 0.7120768229166666}, {"start": 1694.93, "end": 1696.61, "word": " خمسة", "probability": 0.82342529296875}, {"start": 1696.61, "end": 1696.85, "word": " E", "probability": 0.9189453125}, {"start": 1696.85, "end": 1697.25, "word": " أس", "probability": 0.84228515625}, {"start": 1697.25, "end": 1697.53, "word": " X", "probability": 0.98095703125}, {"start": 1697.53, "end": 1698.17, "word": " لكل", "probability": 0.7071533203125}, {"start": 1698.17, "end": 1699.05, "word": " تربيع", "probability": 0.7926025390625}, {"start": 1699.05, "end": 1700.31, "word": " زائد", "probability": 0.8299153645833334}, {"start": 1700.31, "end": 1701.53, "word": " خمسة", "probability": 0.9752197265625}, {"start": 1701.53, "end": 1702.23, "word": " بده", "probability": 0.29052734375}, {"start": 1702.23, "end": 1702.63, "word": " يساوي", "probability": 0.9091796875}, {"start": 1702.63, "end": 1703.05, "word": " لهو", "probability": 0.30841064453125}, {"start": 1703.05, "end": 1703.65, "word": " ستة", "probability": 0.8251953125}, {"start": 1703.65, "end": 1704.73, "word": " وعشرين", "probability": 0.8553466796875}, {"start": 1704.73, "end": 1705.05, "word": " E", "probability": 0.96728515625}, {"start": 1705.05, "end": 1705.35, "word": " أس", "probability": 0.9716796875}, {"start": 1705.35, "end": 1705.63, "word": " X", "probability": 0.615234375}], "temperature": 1.0}, {"id": 73, "seek": 173570, "start": 1706.3, "end": 1735.7, "text": "يبقى قربنا الطرفين في E أس X وبالتالي تخلصنا من مين؟ من الأس السالف طب بتعملها معادلة صفرية يبقى خمسة في E أس اتنين X ماقص ستة وعشرين E أس X يبقى زائد خمسة زائد خمسة كلها تساوي مين؟ تساوي Zero زي ما انت شايف هذه أصبحت معادلة من الدرجة الثانية", "tokens": [1829, 3555, 4587, 7578, 12174, 25513, 8315, 41950, 28480, 9957, 8978, 462, 5551, 3794, 1783, 46599, 6027, 2655, 6027, 1829, 6055, 9778, 1211, 9381, 8315, 9154, 3714, 9957, 22807, 9154, 16247, 3794, 21136, 6027, 5172, 23032, 3555, 39894, 25957, 1211, 11296, 20449, 18513, 37977, 20328, 5172, 2288, 10632, 7251, 3555, 4587, 7578, 16490, 2304, 3794, 3660, 8978, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 3714, 995, 4587, 9381, 8608, 2655, 3660, 4032, 3615, 46309, 9957, 462, 5551, 3794, 1783, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 28242, 11296, 6055, 3794, 995, 45865, 3714, 9957, 22807, 6055, 3794, 995, 45865, 17182, 30767, 1829, 19446, 16472, 2655, 13412, 995, 33911, 29538, 5551, 9381, 3555, 33753, 20449, 18513, 37977, 9154, 32748, 47341, 3660, 6024, 104, 7649, 10632], "avg_logprob": -0.16069799618129313, "compression_ratio": 1.9013452914798206, "no_speech_prob": 0.0, "words": [{"start": 1706.3, "end": 1706.72, "word": "يبقى", "probability": 0.68798828125}, {"start": 1706.72, "end": 1707.18, "word": " قربنا", "probability": 0.5795084635416666}, {"start": 1707.18, "end": 1707.8, "word": " الطرفين", "probability": 0.9010416666666666}, {"start": 1707.8, "end": 1708.0, "word": " في", "probability": 0.88134765625}, {"start": 1708.0, "end": 1708.16, "word": " E", "probability": 0.6533203125}, {"start": 1708.16, "end": 1708.34, "word": " أس", "probability": 0.4163818359375}, {"start": 1708.34, "end": 1708.52, "word": " X", "probability": 0.92333984375}, {"start": 1708.52, "end": 1709.14, "word": " وبالتالي", "probability": 0.909375}, {"start": 1709.14, "end": 1710.02, "word": " تخلصنا", "probability": 0.95966796875}, {"start": 1710.02, "end": 1710.2, "word": " من", "probability": 0.97314453125}, {"start": 1710.2, "end": 1711.16, "word": " مين؟", "probability": 0.6207682291666666}, {"start": 1711.16, "end": 1711.54, "word": " من", "probability": 0.95361328125}, {"start": 1711.54, "end": 1712.12, "word": " الأس", "probability": 0.6331787109375}, {"start": 1712.12, "end": 1712.82, "word": " السالف", "probability": 0.79638671875}, {"start": 1712.82, "end": 1713.36, "word": " طب", "probability": 0.78369140625}, {"start": 1713.36, "end": 1713.9, "word": " بتعملها", "probability": 0.7626953125}, {"start": 1713.9, "end": 1714.44, "word": " معادلة", "probability": 0.98095703125}, {"start": 1714.44, "end": 1715.16, "word": " صفرية", "probability": 0.97509765625}, {"start": 1715.16, "end": 1716.08, "word": " يبقى", "probability": 0.959716796875}, {"start": 1716.08, "end": 1716.88, "word": " خمسة", "probability": 0.890869140625}, {"start": 1716.88, "end": 1717.1, "word": " في", "probability": 0.890625}, {"start": 1717.1, "end": 1717.46, "word": " E", "probability": 0.96630859375}, {"start": 1717.46, "end": 1717.98, "word": " أس", "probability": 0.935302734375}, {"start": 1717.98, "end": 1718.64, "word": " اتنين", "probability": 0.9451904296875}, {"start": 1718.64, "end": 1719.12, "word": " X", "probability": 0.98291015625}, {"start": 1719.12, "end": 1720.36, "word": " ماقص", "probability": 0.7371826171875}, {"start": 1720.36, "end": 1720.94, "word": " ستة", "probability": 0.8610026041666666}, {"start": 1720.94, "end": 1721.78, "word": " وعشرين", "probability": 0.897705078125}, {"start": 1721.78, "end": 1722.14, "word": " E", "probability": 0.990234375}, {"start": 1722.14, "end": 1722.54, "word": " أس", "probability": 0.972900390625}, {"start": 1722.54, "end": 1722.96, "word": " X", "probability": 0.9970703125}, {"start": 1722.96, "end": 1723.86, "word": " يبقى", "probability": 0.978759765625}, {"start": 1723.86, "end": 1724.56, "word": " زائد", "probability": 0.9353841145833334}, {"start": 1724.56, "end": 1725.54, "word": " خمسة", "probability": 0.986083984375}, {"start": 1725.54, "end": 1726.66, "word": " زائد", "probability": 0.927734375}, {"start": 1726.66, "end": 1727.48, "word": " خمسة", "probability": 0.99609375}, {"start": 1727.48, "end": 1727.96, "word": " كلها", "probability": 0.894775390625}, {"start": 1727.96, "end": 1728.48, "word": " تساوي", "probability": 0.9598388671875}, {"start": 1728.48, "end": 1729.28, "word": " مين؟", "probability": 0.7763671875}, {"start": 1729.28, "end": 1729.92, "word": " تساوي", "probability": 0.979248046875}, {"start": 1729.92, "end": 1730.34, "word": " Zero", "probability": 0.79833984375}, {"start": 1730.34, "end": 1731.26, "word": " زي", "probability": 0.9326171875}, {"start": 1731.26, "end": 1731.36, "word": " ما", "probability": 0.96533203125}, {"start": 1731.36, "end": 1731.54, "word": " انت", "probability": 0.7705078125}, {"start": 1731.54, "end": 1731.86, "word": " شايف", "probability": 0.9873046875}, {"start": 1731.86, "end": 1732.1, "word": " هذه", "probability": 0.61572265625}, {"start": 1732.1, "end": 1732.84, "word": " أصبحت", "probability": 0.94970703125}, {"start": 1732.84, "end": 1733.62, "word": " معادلة", "probability": 0.9892578125}, {"start": 1733.62, "end": 1733.9, "word": " من", "probability": 0.99462890625}, {"start": 1733.9, "end": 1734.72, "word": " الدرجة", "probability": 0.9529622395833334}, {"start": 1734.72, "end": 1735.7, "word": " الثانية", "probability": 0.967529296875}], "temperature": 1.0}, {"id": 74, "seek": 174967, "start": 1735.91, "end": 1749.67, "text": "فى المتغير E أُس X E أُس X الكل تربيع كل صين في ال E أُس X وهنا كل صين كله بده يساوي Zero يبقى بدنا نروح نحل معادلة الدرجة الثانية", "tokens": [5172, 7578, 9673, 2655, 17082, 13546, 462, 5551, 10859, 3794, 1783, 462, 5551, 10859, 3794, 1783, 2423, 28820, 6055, 2288, 21292, 3615, 28242, 20328, 9957, 8978, 2423, 462, 5551, 10859, 3794, 1783, 37037, 8315, 28242, 20328, 9957, 28242, 3224, 47525, 3224, 7251, 3794, 995, 45865, 17182, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 32887, 5016, 8717, 5016, 1211, 20449, 18513, 37977, 32748, 47341, 3660, 6024, 104, 7649, 10632], "avg_logprob": -0.36186594202898553, "compression_ratio": 1.5492957746478873, "no_speech_prob": 0.0, "words": [{"start": 1735.91, "end": 1736.37, "word": "فى", "probability": 0.364593505859375}, {"start": 1736.37, "end": 1737.51, "word": " المتغير", "probability": 0.948974609375}, {"start": 1737.51, "end": 1738.21, "word": " E", "probability": 0.76025390625}, {"start": 1738.21, "end": 1738.85, "word": " أُس", "probability": 0.5270792643229166}, {"start": 1738.85, "end": 1739.29, "word": " X", "probability": 0.98046875}, {"start": 1739.29, "end": 1739.95, "word": " E", "probability": 0.2340087890625}, {"start": 1739.95, "end": 1740.25, "word": " أُس", "probability": 0.7999674479166666}, {"start": 1740.25, "end": 1740.49, "word": " X", "probability": 0.9404296875}, {"start": 1740.49, "end": 1740.95, "word": " الكل", "probability": 0.6339111328125}, {"start": 1740.95, "end": 1741.59, "word": " تربيع", "probability": 0.82763671875}, {"start": 1741.59, "end": 1741.93, "word": " كل", "probability": 0.374755859375}, {"start": 1741.93, "end": 1742.27, "word": " صين", "probability": 0.372314453125}, {"start": 1742.27, "end": 1742.43, "word": " في", "probability": 0.42333984375}, {"start": 1742.43, "end": 1742.57, "word": " ال", "probability": 0.66796875}, {"start": 1742.57, "end": 1742.71, "word": " E", "probability": 0.8076171875}, {"start": 1742.71, "end": 1742.95, "word": " أُس", "probability": 0.94775390625}, {"start": 1742.95, "end": 1743.21, "word": " X", "probability": 0.9853515625}, {"start": 1743.21, "end": 1743.57, "word": " وهنا", "probability": 0.6375732421875}, {"start": 1743.57, "end": 1743.79, "word": " كل", "probability": 0.943359375}, {"start": 1743.79, "end": 1744.07, "word": " صين", "probability": 0.97119140625}, {"start": 1744.07, "end": 1744.35, "word": " كله", "probability": 0.8017578125}, {"start": 1744.35, "end": 1744.59, "word": " بده", "probability": 0.3609619140625}, {"start": 1744.59, "end": 1744.87, "word": " يساوي", "probability": 0.86865234375}, {"start": 1744.87, "end": 1745.25, "word": " Zero", "probability": 0.57080078125}, {"start": 1745.25, "end": 1746.01, "word": " يبقى", "probability": 0.74755859375}, {"start": 1746.01, "end": 1746.29, "word": " بدنا", "probability": 0.867919921875}, {"start": 1746.29, "end": 1746.55, "word": " نروح", "probability": 0.9563802083333334}, {"start": 1746.55, "end": 1747.03, "word": " نحل", "probability": 0.7696940104166666}, {"start": 1747.03, "end": 1747.79, "word": " معادلة", "probability": 0.984375}, {"start": 1747.79, "end": 1748.61, "word": " الدرجة", "probability": 0.9689127604166666}, {"start": 1748.61, "end": 1749.67, "word": " الثانية", "probability": 0.82208251953125}], "temperature": 1.0}, {"id": 75, "seek": 177158, "start": 1749.94, "end": 1771.58, "text": "بتحللها تحليل، ماشي، بتقدرش بتروح على القانون، بصبون؟ طب نشوف بنقدر نحللها و الله إذا ما نقدرش علمونا في الإعدادية إنه ممكن تسوي مقص أو ممكن تحلل على طول، تمام؟ لو جينا لهذه قلنا خمسة في E وال6 وهنا E وال6 لوحدها فقط", "tokens": [3555, 2655, 5016, 1211, 1211, 11296, 6055, 5016, 20292, 1211, 12399, 3714, 33599, 1829, 12399, 39894, 28543, 2288, 8592, 39894, 32887, 5016, 15844, 25062, 7649, 11536, 12399, 4724, 9381, 3555, 11536, 22807, 23032, 3555, 8717, 8592, 38688, 44945, 28543, 2288, 8717, 5016, 1211, 1211, 11296, 4032, 21984, 11933, 15730, 19446, 8717, 28543, 2288, 8592, 11203, 2304, 2407, 8315, 8978, 33688, 22488, 18513, 10632, 36145, 3224, 3714, 43020, 6055, 3794, 45865, 3714, 4587, 9381, 34051, 3714, 43020, 6055, 5016, 1211, 1211, 15844, 23032, 12610, 12399, 46811, 10943, 22807, 45164, 10874, 1829, 8315, 46740, 24192, 12174, 1211, 8315, 16490, 2304, 3794, 3660, 8978, 462, 16070, 21, 37037, 8315, 462, 16070, 21, 45164, 24401, 11296, 6156, 47432], "avg_logprob": -0.2353260903254799, "compression_ratio": 1.820754716981132, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1749.94, "end": 1750.72, "word": "بتحللها", "probability": 0.8472900390625}, {"start": 1750.72, "end": 1751.4, "word": " تحليل،", "probability": 0.81005859375}, {"start": 1751.4, "end": 1751.84, "word": " ماشي،", "probability": 0.8016357421875}, {"start": 1751.84, "end": 1752.3, "word": " بتقدرش", "probability": 0.865966796875}, {"start": 1752.3, "end": 1752.7, "word": " بتروح", "probability": 0.7557779947916666}, {"start": 1752.7, "end": 1753.0, "word": " على", "probability": 0.87060546875}, {"start": 1753.0, "end": 1754.32, "word": " القانون،", "probability": 0.899658203125}, {"start": 1754.32, "end": 1755.18, "word": " بصبون؟", "probability": 0.65947265625}, {"start": 1755.18, "end": 1755.42, "word": " طب", "probability": 0.81103515625}, {"start": 1755.42, "end": 1755.78, "word": " نشوف", "probability": 0.9152018229166666}, {"start": 1755.78, "end": 1756.22, "word": " بنقدر", "probability": 0.841796875}, {"start": 1756.22, "end": 1756.82, "word": " نحللها", "probability": 0.92802734375}, {"start": 1756.82, "end": 1756.96, "word": " و", "probability": 0.4482421875}, {"start": 1756.96, "end": 1757.2, "word": " الله", "probability": 0.91455078125}, {"start": 1757.2, "end": 1757.5, "word": " إذا", "probability": 0.5308837890625}, {"start": 1757.5, "end": 1757.62, "word": " ما", "probability": 0.7509765625}, {"start": 1757.62, "end": 1758.14, "word": " نقدرش", "probability": 0.81396484375}, {"start": 1758.14, "end": 1759.26, "word": " علمونا", "probability": 0.78936767578125}, {"start": 1759.26, "end": 1759.4, "word": " في", "probability": 0.9423828125}, {"start": 1759.4, "end": 1759.98, "word": " الإعدادية", "probability": 0.8431396484375}, {"start": 1759.98, "end": 1760.2, "word": " إنه", "probability": 0.806884765625}, {"start": 1760.2, "end": 1760.5, "word": " ممكن", "probability": 0.9775390625}, {"start": 1760.5, "end": 1761.08, "word": " تسوي", "probability": 0.8614908854166666}, {"start": 1761.08, "end": 1761.62, "word": " مقص", "probability": 0.7819010416666666}, {"start": 1761.62, "end": 1761.88, "word": " أو", "probability": 0.95947265625}, {"start": 1761.88, "end": 1762.24, "word": " ممكن", "probability": 0.920654296875}, {"start": 1762.24, "end": 1762.94, "word": " تحلل", "probability": 0.9527587890625}, {"start": 1762.94, "end": 1763.2, "word": " على", "probability": 0.96875}, {"start": 1763.2, "end": 1763.9, "word": " طول،", "probability": 0.8440755208333334}, {"start": 1763.9, "end": 1764.98, "word": " تمام؟", "probability": 0.8665364583333334}, {"start": 1764.98, "end": 1765.3, "word": " لو", "probability": 0.943359375}, {"start": 1765.3, "end": 1765.64, "word": " جينا", "probability": 0.9903971354166666}, {"start": 1765.64, "end": 1766.02, "word": " لهذه", "probability": 0.924560546875}, {"start": 1766.02, "end": 1766.5, "word": " قلنا", "probability": 0.6966145833333334}, {"start": 1766.5, "end": 1767.32, "word": " خمسة", "probability": 0.9149169921875}, {"start": 1767.32, "end": 1767.56, "word": " في", "probability": 0.95166015625}, {"start": 1767.56, "end": 1767.84, "word": " E", "probability": 0.58935546875}, {"start": 1767.84, "end": 1768.48, "word": " وال6", "probability": 0.43658447265625}, {"start": 1768.48, "end": 1769.06, "word": " وهنا", "probability": 0.6788330078125}, {"start": 1769.06, "end": 1769.4, "word": " E", "probability": 0.9677734375}, {"start": 1769.4, "end": 1770.02, "word": " وال6", "probability": 0.92919921875}, {"start": 1770.02, "end": 1770.84, "word": " لوحدها", "probability": 0.845703125}, {"start": 1770.84, "end": 1771.58, "word": " فقط", "probability": 0.83349609375}], "temperature": 1.0}, {"id": 76, "seek": 180181, "start": 1772.21, "end": 1801.81, "text": "هذه اللي بعد خمسة في واحد يبقى هذا الخمسة وهذا الواحد الإشارة زائد اللي في النص بالنقص يبقى تنتين بالنقص تعالى نشوف هل كلام هذا صحيح ولا لأ طبعا نقص في نقص بزائد خمسة مظبوط هي زائد خمسة وهذه EO6 في خمسة EO6 بخمسة EO2 نقص إذا المطلوب اللي في النص يكون جديش نقص ستة وعشرين EO6", "tokens": [3224, 24192, 13672, 1829, 39182, 16490, 2304, 3794, 3660, 8978, 36764, 24401, 7251, 3555, 4587, 7578, 23758, 33962, 2304, 3794, 3660, 37037, 15730, 2423, 14407, 24401, 33688, 8592, 9640, 3660, 30767, 16373, 3215, 13672, 1829, 8978, 28239, 9381, 20666, 1863, 4587, 9381, 7251, 3555, 4587, 7578, 6055, 29399, 9957, 20666, 1863, 4587, 9381, 37279, 6027, 7578, 8717, 8592, 38688, 8032, 1211, 28242, 10943, 23758, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 23032, 3555, 3615, 995, 8717, 4587, 9381, 8978, 8717, 4587, 9381, 4724, 11622, 16373, 3215, 16490, 2304, 3794, 3660, 3714, 19913, 3555, 2407, 9566, 39896, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 37037, 24192, 462, 46, 21, 8978, 16490, 2304, 3794, 3660, 462, 46, 21, 4724, 9778, 2304, 3794, 3660, 462, 46, 17, 8717, 4587, 9381, 11933, 15730, 9673, 9566, 1211, 37746, 13672, 1829, 8978, 28239, 9381, 7251, 30544, 10874, 16254, 8592, 8717, 4587, 9381, 8608, 2655, 3660, 4032, 3615, 46309, 9957, 462, 46, 21], "avg_logprob": -0.21218153359783684, "compression_ratio": 2.1621621621621623, "no_speech_prob": 0.10150146484375, "words": [{"start": 1772.21, "end": 1772.91, "word": "هذه", "probability": 0.49609375}, {"start": 1772.91, "end": 1773.89, "word": " اللي", "probability": 0.507049560546875}, {"start": 1773.89, "end": 1774.29, "word": " بعد", "probability": 0.86279296875}, {"start": 1774.29, "end": 1774.95, "word": " خمسة", "probability": 0.90185546875}, {"start": 1774.95, "end": 1775.07, "word": " في", "probability": 0.826171875}, {"start": 1775.07, "end": 1775.57, "word": " واحد", "probability": 0.98193359375}, {"start": 1775.57, "end": 1775.87, "word": " يبقى", "probability": 0.747802734375}, {"start": 1775.87, "end": 1776.19, "word": " هذا", "probability": 0.76416015625}, {"start": 1776.19, "end": 1777.01, "word": " الخمسة", "probability": 0.9388427734375}, {"start": 1777.01, "end": 1777.65, "word": " وهذا", "probability": 0.6654052734375}, {"start": 1777.65, "end": 1778.07, "word": " الواحد", "probability": 0.90869140625}, {"start": 1778.07, "end": 1778.65, "word": " الإشارة", "probability": 0.769989013671875}, {"start": 1778.65, "end": 1779.01, "word": " زائد", "probability": 0.72412109375}, {"start": 1779.01, "end": 1779.17, "word": " اللي", "probability": 0.883544921875}, {"start": 1779.17, "end": 1779.31, "word": " في", "probability": 0.86767578125}, {"start": 1779.31, "end": 1779.65, "word": " النص", "probability": 0.902587890625}, {"start": 1779.65, "end": 1780.31, "word": " بالنقص", "probability": 0.705963134765625}, {"start": 1780.31, "end": 1780.59, "word": " يبقى", "probability": 0.9539794921875}, {"start": 1780.59, "end": 1781.63, "word": " تنتين", "probability": 0.762451171875}, {"start": 1781.63, "end": 1782.85, "word": " بالنقص", "probability": 0.953125}, {"start": 1782.85, "end": 1783.63, "word": " تعالى", "probability": 0.8055013020833334}, {"start": 1783.63, "end": 1783.93, "word": " نشوف", "probability": 0.9908854166666666}, {"start": 1783.93, "end": 1784.19, "word": " هل", "probability": 0.71484375}, {"start": 1784.19, "end": 1784.53, "word": " كلام", "probability": 0.679443359375}, {"start": 1784.53, "end": 1784.73, "word": " هذا", "probability": 0.744140625}, {"start": 1784.73, "end": 1785.37, "word": " صحيح", "probability": 0.9964599609375}, {"start": 1785.37, "end": 1785.63, "word": " ولا", "probability": 0.88671875}, {"start": 1785.63, "end": 1785.93, "word": " لأ", "probability": 0.778076171875}, {"start": 1785.93, "end": 1786.55, "word": " طبعا", "probability": 0.945068359375}, {"start": 1786.55, "end": 1787.09, "word": " نقص", "probability": 0.8372395833333334}, {"start": 1787.09, "end": 1787.27, "word": " في", "probability": 0.8486328125}, {"start": 1787.27, "end": 1787.81, "word": " نقص", "probability": 0.9651692708333334}, {"start": 1787.81, "end": 1788.61, "word": " بزائد", "probability": 0.860107421875}, {"start": 1788.61, "end": 1789.23, "word": " خمسة", "probability": 0.982666015625}, {"start": 1789.23, "end": 1789.79, "word": " مظبوط", "probability": 0.95126953125}, {"start": 1789.79, "end": 1790.05, "word": " هي", "probability": 0.478271484375}, {"start": 1790.05, "end": 1790.61, "word": " زائد", "probability": 0.81298828125}, {"start": 1790.61, "end": 1791.35, "word": " خمسة", "probability": 0.98828125}, {"start": 1791.35, "end": 1792.01, "word": " وهذه", "probability": 0.5067138671875}, {"start": 1792.01, "end": 1792.65, "word": " EO6", "probability": 0.3696695963541667}, {"start": 1792.65, "end": 1792.85, "word": " في", "probability": 0.61962890625}, {"start": 1792.85, "end": 1793.45, "word": " خمسة", "probability": 0.9854736328125}, {"start": 1793.45, "end": 1794.19, "word": " EO6", "probability": 0.9365234375}, {"start": 1794.19, "end": 1794.91, "word": " بخمسة", "probability": 0.9052734375}, {"start": 1794.91, "end": 1795.79, "word": " EO2", "probability": 0.8040364583333334}, {"start": 1795.79, "end": 1796.21, "word": " نقص", "probability": 0.8055013020833334}, {"start": 1796.21, "end": 1796.69, "word": " إذا", "probability": 0.809814453125}, {"start": 1796.69, "end": 1797.17, "word": " المطلوب", "probability": 0.9210205078125}, {"start": 1797.17, "end": 1797.33, "word": " اللي", "probability": 0.985595703125}, {"start": 1797.33, "end": 1797.45, "word": " في", "probability": 0.97802734375}, {"start": 1797.45, "end": 1797.73, "word": " النص", "probability": 0.9638671875}, {"start": 1797.73, "end": 1798.01, "word": " يكون", "probability": 0.98828125}, {"start": 1798.01, "end": 1798.85, "word": " جديش", "probability": 0.7386067708333334}, {"start": 1798.85, "end": 1799.73, "word": " نقص", "probability": 0.8766276041666666}, {"start": 1799.73, "end": 1800.15, "word": " ستة", "probability": 0.8987630208333334}, {"start": 1800.15, "end": 1800.95, "word": " وعشرين", "probability": 0.9390869140625}, {"start": 1800.95, "end": 1801.81, "word": " EO6", "probability": 0.9695638020833334}], "temperature": 1.0}, {"id": 77, "seek": 183099, "start": 1802.21, "end": 1830.99, "text": "أضرب لهك سالب خمسة وعشرين EO6 و سالب EO6 يبقى سالب ستة وعشرين يمكن تحليلنا مصبوخ مائة بالمائة يبقى المعادلة هذه صارت خمسة EO6 ناقص واحد في EO6 ناقص خمسة كله بده يساوي Zero يبقى اما خمسة في EO6 ناقص واحد بده يساوي Zero والتانية ال EO6 ناقص خمسة بده يساوي Zero", "tokens": [10721, 11242, 25513, 46740, 4117, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 462, 46, 21, 4032, 8608, 6027, 3555, 462, 46, 21, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 8608, 2655, 3660, 4032, 3615, 46309, 9957, 7251, 43020, 6055, 5016, 20292, 1211, 8315, 3714, 9381, 3555, 2407, 9778, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 7251, 3555, 4587, 7578, 9673, 3615, 18513, 37977, 29538, 20328, 9640, 2655, 16490, 2304, 3794, 3660, 462, 46, 21, 8717, 995, 4587, 9381, 36764, 24401, 8978, 462, 46, 21, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 28242, 3224, 47525, 3224, 7251, 3794, 995, 45865, 17182, 7251, 3555, 4587, 7578, 1975, 15042, 16490, 2304, 3794, 3660, 8978, 462, 46, 21, 8717, 995, 4587, 9381, 36764, 24401, 47525, 3224, 7251, 3794, 995, 45865, 17182, 16070, 2655, 7649, 10632, 2423, 462, 46, 21, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 47525, 3224, 7251, 3794, 995, 45865, 17182], "avg_logprob": -0.17287660055817702, "compression_ratio": 2.2081218274111674, "no_speech_prob": 0.0, "words": [{"start": 1802.21, "end": 1802.75, "word": "أضرب", "probability": 0.5387166341145834}, {"start": 1802.75, "end": 1803.29, "word": " لهك", "probability": 0.35028076171875}, {"start": 1803.29, "end": 1804.15, "word": " سالب", "probability": 0.6437581380208334}, {"start": 1804.15, "end": 1804.69, "word": " خمسة", "probability": 0.84051513671875}, {"start": 1804.69, "end": 1805.35, "word": " وعشرين", "probability": 0.8670654296875}, {"start": 1805.35, "end": 1806.09, "word": " EO6", "probability": 0.5843098958333334}, {"start": 1806.09, "end": 1806.61, "word": " و", "probability": 0.53564453125}, {"start": 1806.61, "end": 1807.11, "word": " سالب", "probability": 0.6937255859375}, {"start": 1807.11, "end": 1807.79, "word": " EO6", "probability": 0.9464518229166666}, {"start": 1807.79, "end": 1808.07, "word": " يبقى", "probability": 0.7884521484375}, {"start": 1808.07, "end": 1808.71, "word": " سالب", "probability": 0.9002278645833334}, {"start": 1808.71, "end": 1809.17, "word": " ستة", "probability": 0.93603515625}, {"start": 1809.17, "end": 1809.71, "word": " وعشرين", "probability": 0.9658203125}, {"start": 1809.71, "end": 1809.93, "word": " يمكن", "probability": 0.777099609375}, {"start": 1809.93, "end": 1810.89, "word": " تحليلنا", "probability": 0.8537109375}, {"start": 1810.89, "end": 1811.75, "word": " مصبوخ", "probability": 0.7275390625}, {"start": 1811.75, "end": 1812.07, "word": " مائة", "probability": 0.90478515625}, {"start": 1812.07, "end": 1812.63, "word": " بالمائة", "probability": 0.9549560546875}, {"start": 1812.63, "end": 1813.25, "word": " يبقى", "probability": 0.9478759765625}, {"start": 1813.25, "end": 1813.91, "word": " المعادلة", "probability": 0.9876708984375}, {"start": 1813.91, "end": 1814.25, "word": " هذه", "probability": 0.814453125}, {"start": 1814.25, "end": 1814.85, "word": " صارت", "probability": 0.8095703125}, {"start": 1814.85, "end": 1815.53, "word": " خمسة", "probability": 0.9766845703125}, {"start": 1815.53, "end": 1816.39, "word": " EO6", "probability": 0.96923828125}, {"start": 1816.39, "end": 1817.05, "word": " ناقص", "probability": 0.9371337890625}, {"start": 1817.05, "end": 1817.69, "word": " واحد", "probability": 0.990234375}, {"start": 1817.69, "end": 1818.21, "word": " في", "probability": 0.8955078125}, {"start": 1818.21, "end": 1819.11, "word": " EO6", "probability": 0.9658203125}, {"start": 1819.11, "end": 1819.75, "word": " ناقص", "probability": 0.9901123046875}, {"start": 1819.75, "end": 1820.33, "word": " خمسة", "probability": 0.9874267578125}, {"start": 1820.33, "end": 1820.69, "word": " كله", "probability": 0.84228515625}, {"start": 1820.69, "end": 1820.91, "word": " بده", "probability": 0.3582763671875}, {"start": 1820.91, "end": 1821.29, "word": " يساوي", "probability": 0.8441162109375}, {"start": 1821.29, "end": 1821.71, "word": " Zero", "probability": 0.4853515625}, {"start": 1821.71, "end": 1822.61, "word": " يبقى", "probability": 0.9818115234375}, {"start": 1822.61, "end": 1823.21, "word": " اما", "probability": 0.77734375}, {"start": 1823.21, "end": 1823.91, "word": " خمسة", "probability": 0.9910888671875}, {"start": 1823.91, "end": 1824.07, "word": " في", "probability": 0.9150390625}, {"start": 1824.07, "end": 1824.71, "word": " EO6", "probability": 0.9851888020833334}, {"start": 1824.71, "end": 1825.17, "word": " ناقص", "probability": 0.9932861328125}, {"start": 1825.17, "end": 1825.47, "word": " واحد", "probability": 0.993408203125}, {"start": 1825.47, "end": 1825.73, "word": " بده", "probability": 0.904052734375}, {"start": 1825.73, "end": 1826.11, "word": " يساوي", "probability": 0.991455078125}, {"start": 1826.11, "end": 1826.57, "word": " Zero", "probability": 0.95703125}, {"start": 1826.57, "end": 1827.79, "word": " والتانية", "probability": 0.8892822265625}, {"start": 1827.79, "end": 1828.11, "word": " ال", "probability": 0.6591796875}, {"start": 1828.11, "end": 1828.93, "word": " EO6", "probability": 0.9596354166666666}, {"start": 1828.93, "end": 1829.47, "word": " ناقص", "probability": 0.990234375}, {"start": 1829.47, "end": 1829.91, "word": " خمسة", "probability": 0.9921875}, {"start": 1829.91, "end": 1830.21, "word": " بده", "probability": 0.97900390625}, {"start": 1830.21, "end": 1830.61, "word": " يساوي", "probability": 0.9779052734375}, {"start": 1830.61, "end": 1830.99, "word": " Zero", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 78, "seek": 186034, "start": 1831.54, "end": 1860.34, "text": "هذه معناها ان ال E اقص X بده يساوي خمس وهذه معناها ان ال E اقص X بده يساوي كده؟ خمسة خذ للطرفين يبقى ال X يساوي للخمس للخمس اللي هو كده؟ سالب للخمس يبقى هذا سالب للخمس ايه ايش رأيك في الشغل هذا؟ مقبول هذا؟", "tokens": [3224, 24192, 20449, 8315, 11296, 16472, 2423, 462, 1975, 4587, 9381, 1783, 47525, 3224, 7251, 3794, 995, 45865, 16490, 2304, 3794, 37037, 24192, 20449, 8315, 11296, 16472, 2423, 462, 1975, 4587, 9381, 1783, 47525, 3224, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 16490, 2304, 3794, 3660, 16490, 8848, 24976, 9566, 28480, 9957, 7251, 3555, 4587, 7578, 2423, 1783, 7251, 3794, 995, 45865, 24976, 9778, 2304, 3794, 24976, 9778, 2304, 3794, 13672, 1829, 31439, 9122, 3215, 3224, 22807, 8608, 6027, 3555, 24976, 9778, 2304, 3794, 7251, 3555, 4587, 7578, 23758, 8608, 6027, 3555, 24976, 9778, 2304, 3794, 1975, 1829, 3224, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 8978, 25124, 17082, 1211, 23758, 22807, 3714, 4587, 3555, 12610, 23758, 22807], "avg_logprob": -0.23111978620290757, "compression_ratio": 2.1951219512195124, "no_speech_prob": 0.0, "words": [{"start": 1831.54, "end": 1831.96, "word": "هذه", "probability": 0.5079345703125}, {"start": 1831.96, "end": 1832.56, "word": " معناها", "probability": 0.7391764322916666}, {"start": 1832.56, "end": 1832.96, "word": " ان", "probability": 0.5859375}, {"start": 1832.96, "end": 1833.28, "word": " ال", "probability": 0.48583984375}, {"start": 1833.28, "end": 1833.46, "word": " E", "probability": 0.4052734375}, {"start": 1833.46, "end": 1833.94, "word": " اقص", "probability": 0.498291015625}, {"start": 1833.94, "end": 1834.28, "word": " X", "probability": 0.6708984375}, {"start": 1834.28, "end": 1834.74, "word": " بده", "probability": 0.2403564453125}, {"start": 1834.74, "end": 1835.18, "word": " يساوي", "probability": 0.84039306640625}, {"start": 1835.18, "end": 1835.76, "word": " خمس", "probability": 0.9459635416666666}, {"start": 1835.76, "end": 1836.5, "word": " وهذه", "probability": 0.623046875}, {"start": 1836.5, "end": 1837.08, "word": " معناها", "probability": 0.92626953125}, {"start": 1837.08, "end": 1837.4, "word": " ان", "probability": 0.91064453125}, {"start": 1837.4, "end": 1837.66, "word": " ال", "probability": 0.8056640625}, {"start": 1837.66, "end": 1837.84, "word": " E", "probability": 0.9775390625}, {"start": 1837.84, "end": 1838.1, "word": " اقص", "probability": 0.779541015625}, {"start": 1838.1, "end": 1838.32, "word": " X", "probability": 0.986328125}, {"start": 1838.32, "end": 1838.6, "word": " بده", "probability": 0.96142578125}, {"start": 1838.6, "end": 1838.8, "word": " يساوي", "probability": 0.98193359375}, {"start": 1838.8, "end": 1839.54, "word": " كده؟", "probability": 0.6702880859375}, {"start": 1839.54, "end": 1840.28, "word": " خمسة", "probability": 0.887451171875}, {"start": 1840.28, "end": 1841.24, "word": " خذ", "probability": 0.80810546875}, {"start": 1841.24, "end": 1842.88, "word": " للطرفين", "probability": 0.8599853515625}, {"start": 1842.88, "end": 1844.24, "word": " يبقى", "probability": 0.9183349609375}, {"start": 1844.24, "end": 1844.4, "word": " ال", "probability": 0.8486328125}, {"start": 1844.4, "end": 1844.76, "word": " X", "probability": 0.95947265625}, {"start": 1844.76, "end": 1845.98, "word": " يساوي", "probability": 0.96875}, {"start": 1845.98, "end": 1848.28, "word": " للخمس", "probability": 0.87548828125}, {"start": 1848.28, "end": 1849.76, "word": " للخمس", "probability": 0.85650634765625}, {"start": 1849.76, "end": 1849.9, "word": " اللي", "probability": 0.7314453125}, {"start": 1849.9, "end": 1850.08, "word": " هو", "probability": 0.96875}, {"start": 1850.08, "end": 1850.82, "word": " كده؟", "probability": 0.9434814453125}, {"start": 1850.82, "end": 1851.52, "word": " سالب", "probability": 0.8806966145833334}, {"start": 1851.52, "end": 1852.44, "word": " للخمس", "probability": 0.9683837890625}, {"start": 1852.44, "end": 1853.4, "word": " يبقى", "probability": 0.952880859375}, {"start": 1853.4, "end": 1853.86, "word": " هذا", "probability": 0.96923828125}, {"start": 1853.86, "end": 1855.0, "word": " سالب", "probability": 0.9767252604166666}, {"start": 1855.0, "end": 1856.48, "word": " للخمس", "probability": 0.974853515625}, {"start": 1856.48, "end": 1856.72, "word": " ايه", "probability": 0.75341796875}, {"start": 1856.72, "end": 1856.96, "word": " ايش", "probability": 0.6022135416666666}, {"start": 1856.96, "end": 1857.42, "word": " رأيك", "probability": 0.9488525390625}, {"start": 1857.42, "end": 1857.56, "word": " في", "probability": 0.9306640625}, {"start": 1857.56, "end": 1858.02, "word": " الشغل", "probability": 0.6529134114583334}, {"start": 1858.02, "end": 1858.56, "word": " هذا؟", "probability": 0.5101318359375}, {"start": 1858.56, "end": 1859.78, "word": " مقبول", "probability": 0.9715576171875}, {"start": 1859.78, "end": 1860.34, "word": " هذا؟", "probability": 0.951171875}], "temperature": 1.0}, {"id": 79, "seek": 188979, "start": 1861.09, "end": 1889.79, "text": "مش مقبول ليش انه قال شرط علي X أكبر من ال zero هذا بيعطينا رقم أقل من ال zero يبقى هذا الكلام مرفوض يبقى impossible هذا كلام غير ممكن هشول ممكن خد ال len للتانية يبقى X بدها تساوي قداش لن الخمسة هذه هي الإجابة الصحيحة لهذه المسألة", "tokens": [2304, 8592, 3714, 4587, 3555, 12610, 32239, 8592, 16472, 3224, 50239, 13412, 2288, 9566, 25894, 1783, 5551, 4117, 26890, 9154, 2423, 4018, 23758, 4724, 40228, 9566, 1829, 8315, 12602, 4587, 2304, 5551, 4587, 1211, 9154, 2423, 4018, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 3714, 28480, 2407, 11242, 7251, 3555, 4587, 7578, 6243, 23758, 28242, 10943, 32771, 13546, 3714, 43020, 8032, 8592, 12610, 3714, 43020, 16490, 3215, 2423, 40116, 24976, 2655, 7649, 10632, 7251, 3555, 4587, 7578, 1783, 47525, 11296, 6055, 3794, 995, 45865, 12174, 3215, 33599, 5296, 1863, 33962, 2304, 3794, 3660, 29538, 39896, 33688, 7435, 16758, 3660, 31767, 5016, 1829, 5016, 3660, 46740, 24192, 9673, 3794, 10721, 37977], "avg_logprob": -0.19238281782184327, "compression_ratio": 1.703056768558952, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1861.09, "end": 1861.53, "word": "مش", "probability": 0.5628662109375}, {"start": 1861.53, "end": 1862.13, "word": " مقبول", "probability": 0.98193359375}, {"start": 1862.13, "end": 1862.55, "word": " ليش", "probability": 0.6319580078125}, {"start": 1862.55, "end": 1862.77, "word": " انه", "probability": 0.4119873046875}, {"start": 1862.77, "end": 1862.91, "word": " قال", "probability": 0.6904296875}, {"start": 1862.91, "end": 1863.45, "word": " شرط", "probability": 0.81640625}, {"start": 1863.45, "end": 1863.63, "word": " علي", "probability": 0.88720703125}, {"start": 1863.63, "end": 1863.95, "word": " X", "probability": 0.3955078125}, {"start": 1863.95, "end": 1864.31, "word": " أكبر", "probability": 0.8806966145833334}, {"start": 1864.31, "end": 1864.51, "word": " من", "probability": 0.9931640625}, {"start": 1864.51, "end": 1864.67, "word": " ال", "probability": 0.83837890625}, {"start": 1864.67, "end": 1864.99, "word": " zero", "probability": 0.36376953125}, {"start": 1864.99, "end": 1865.69, "word": " هذا", "probability": 0.71875}, {"start": 1865.69, "end": 1866.31, "word": " بيعطينا", "probability": 0.745703125}, {"start": 1866.31, "end": 1866.75, "word": " رقم", "probability": 0.98583984375}, {"start": 1866.75, "end": 1867.41, "word": " أقل", "probability": 0.9192708333333334}, {"start": 1867.41, "end": 1867.67, "word": " من", "probability": 0.99609375}, {"start": 1867.67, "end": 1867.91, "word": " ال", "probability": 0.96484375}, {"start": 1867.91, "end": 1868.27, "word": " zero", "probability": 0.908203125}, {"start": 1868.27, "end": 1869.15, "word": " يبقى", "probability": 0.9554443359375}, {"start": 1869.15, "end": 1869.53, "word": " هذا", "probability": 0.939453125}, {"start": 1869.53, "end": 1870.31, "word": " الكلام", "probability": 0.9713541666666666}, {"start": 1870.31, "end": 1871.31, "word": " مرفوض", "probability": 0.9619140625}, {"start": 1871.31, "end": 1871.99, "word": " يبقى", "probability": 0.94873046875}, {"start": 1871.99, "end": 1873.23, "word": " impossible", "probability": 0.77587890625}, {"start": 1873.23, "end": 1874.47, "word": " هذا", "probability": 0.8681640625}, {"start": 1874.47, "end": 1875.05, "word": " كلام", "probability": 0.974609375}, {"start": 1875.05, "end": 1875.39, "word": " غير", "probability": 0.997314453125}, {"start": 1875.39, "end": 1875.95, "word": " ممكن", "probability": 0.988037109375}, {"start": 1875.95, "end": 1877.67, "word": " هشول", "probability": 0.69384765625}, {"start": 1877.67, "end": 1878.19, "word": " ممكن", "probability": 0.9892578125}, {"start": 1878.19, "end": 1878.91, "word": " خد", "probability": 0.900146484375}, {"start": 1878.91, "end": 1879.03, "word": " ال", "probability": 0.66943359375}, {"start": 1879.03, "end": 1879.23, "word": " len", "probability": 0.1551513671875}, {"start": 1879.23, "end": 1880.15, "word": " للتانية", "probability": 0.9029541015625}, {"start": 1880.15, "end": 1881.01, "word": " يبقى", "probability": 0.982177734375}, {"start": 1881.01, "end": 1881.29, "word": " X", "probability": 0.8828125}, {"start": 1881.29, "end": 1881.67, "word": " بدها", "probability": 0.5947265625}, {"start": 1881.67, "end": 1882.01, "word": " تساوي", "probability": 0.888916015625}, {"start": 1882.01, "end": 1882.71, "word": " قداش", "probability": 0.71240234375}, {"start": 1882.71, "end": 1883.53, "word": " لن", "probability": 0.589599609375}, {"start": 1883.53, "end": 1884.31, "word": " الخمسة", "probability": 0.93408203125}, {"start": 1884.31, "end": 1884.75, "word": " هذه", "probability": 0.76953125}, {"start": 1884.75, "end": 1885.07, "word": " هي", "probability": 0.939453125}, {"start": 1885.07, "end": 1886.09, "word": " الإجابة", "probability": 0.9625244140625}, {"start": 1886.09, "end": 1887.21, "word": " الصحيحة", "probability": 0.97314453125}, {"start": 1887.21, "end": 1887.93, "word": " لهذه", "probability": 0.90625}, {"start": 1887.93, "end": 1889.79, "word": " المسألة", "probability": 0.9732666015625}], "temperature": 1.0}, {"id": 80, "seek": 191199, "start": 1896.97, "end": 1911.99, "text": "المثال الثاني بيقول simplify the following expressions", "tokens": [45340, 12984, 6027, 6024, 104, 7649, 1829, 4724, 1829, 39648, 20460, 264, 3480, 15277], "avg_logprob": -0.26210938692092894, "compression_ratio": 0.9861111111111112, "no_speech_prob": 0.0, "words": [{"start": 1896.9699999999998, "end": 1898.37, "word": "المثال", "probability": 0.7402750651041666}, {"start": 1898.37, "end": 1899.77, "word": " الثاني", "probability": 0.943115234375}, {"start": 1899.77, "end": 1901.57, "word": " بيقول", "probability": 0.7902018229166666}, {"start": 1901.57, "end": 1903.35, "word": " simplify", "probability": 0.515625}, {"start": 1903.35, "end": 1907.29, "word": " the", "probability": 0.7109375}, {"start": 1907.29, "end": 1908.19, "word": " following", "probability": 0.86572265625}, {"start": 1908.19, "end": 1911.99, "word": " expressions", "probability": 0.92041015625}], "temperature": 1.0}, {"id": 81, "seek": 193509, "start": 1915.29, "end": 1935.09, "text": "بسيط لي كله من الصيغة التالية الصيغة الأولى اللى هو sin لمن لأتنين لإن الأكس أظن أخدنا هذه الأشكال في معكوس الدول المثلثية فره مظبوط", "tokens": [3555, 3794, 1829, 9566, 32239, 28242, 3224, 9154, 31767, 1829, 17082, 3660, 16712, 6027, 10632, 31767, 1829, 17082, 3660, 16247, 12610, 7578, 13672, 7578, 31439, 3343, 5296, 27842, 5296, 10721, 2655, 1863, 9957, 5296, 28814, 1863, 16247, 4117, 3794, 5551, 19913, 1863, 5551, 9778, 3215, 8315, 29538, 16247, 8592, 4117, 6027, 8978, 20449, 4117, 41779, 32748, 12610, 9673, 12984, 1211, 12984, 10632, 6156, 2288, 3224, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.3166813287936466, "compression_ratio": 1.6122448979591837, "no_speech_prob": 0.0, "words": [{"start": 1915.29, "end": 1916.01, "word": "بسيط", "probability": 0.72442626953125}, {"start": 1916.01, "end": 1916.23, "word": " لي", "probability": 0.6240234375}, {"start": 1916.23, "end": 1916.83, "word": " كله", "probability": 0.6231689453125}, {"start": 1916.83, "end": 1917.03, "word": " من", "probability": 0.98583984375}, {"start": 1917.03, "end": 1917.67, "word": " الصيغة", "probability": 0.8221435546875}, {"start": 1917.67, "end": 1918.35, "word": " التالية", "probability": 0.9874674479166666}, {"start": 1918.35, "end": 1919.63, "word": " الصيغة", "probability": 0.9541015625}, {"start": 1919.63, "end": 1920.79, "word": " الأولى", "probability": 0.93994140625}, {"start": 1920.79, "end": 1921.37, "word": " اللى", "probability": 0.74853515625}, {"start": 1921.37, "end": 1921.61, "word": " هو", "probability": 0.802734375}, {"start": 1921.61, "end": 1922.35, "word": " sin", "probability": 0.28515625}, {"start": 1922.35, "end": 1923.57, "word": " لمن", "probability": 0.46624755859375}, {"start": 1923.57, "end": 1925.41, "word": " لأتنين", "probability": 0.651904296875}, {"start": 1925.41, "end": 1926.05, "word": " لإن", "probability": 0.6728515625}, {"start": 1926.05, "end": 1926.91, "word": " الأكس", "probability": 0.7608235677083334}, {"start": 1926.91, "end": 1930.55, "word": " أظن", "probability": 0.6940104166666666}, {"start": 1930.55, "end": 1931.05, "word": " أخدنا", "probability": 0.889892578125}, {"start": 1931.05, "end": 1931.25, "word": " هذه", "probability": 0.224853515625}, {"start": 1931.25, "end": 1931.87, "word": " الأشكال", "probability": 0.974365234375}, {"start": 1931.87, "end": 1932.29, "word": " في", "probability": 0.82275390625}, {"start": 1932.29, "end": 1932.81, "word": " معكوس", "probability": 0.8811848958333334}, {"start": 1932.81, "end": 1933.25, "word": " الدول", "probability": 0.790283203125}, {"start": 1933.25, "end": 1934.13, "word": " المثلثية", "probability": 0.9443359375}, {"start": 1934.13, "end": 1934.51, "word": " فره", "probability": 0.5736490885416666}, {"start": 1934.51, "end": 1935.09, "word": " مظبوط", "probability": 0.86259765625}], "temperature": 1.0}, {"id": 82, "seek": 195117, "start": 1935.85, "end": 1951.17, "text": "وكنا بنجل المثلثة و بنرسمه و بنطلق القيام، طبعا، بس أنا ماعنديش مثلثة، لكن عندي تعريف لمين؟ للسنج، يبقى أنا الآن مشان أعرف هذه القيمة، بدي أرجع لتعريف السنج", "tokens": [2407, 4117, 8315, 44945, 7435, 1211, 9673, 12984, 1211, 12984, 3660, 4032, 44945, 2288, 38251, 3224, 4032, 44945, 9566, 1211, 4587, 25062, 1829, 10943, 12399, 23032, 3555, 3615, 995, 12399, 4724, 3794, 41850, 19446, 3615, 1863, 16254, 8592, 50113, 1211, 12984, 3660, 12399, 44381, 18871, 16254, 37279, 16572, 5172, 32767, 9957, 22807, 24976, 3794, 1863, 7435, 12399, 7251, 3555, 4587, 7578, 41850, 6024, 48506, 37893, 7649, 5551, 3615, 28480, 29538, 25062, 32640, 3660, 12399, 4724, 16254, 5551, 47341, 3615, 5296, 2655, 3615, 16572, 5172, 21136, 1863, 7435], "avg_logprob": -0.2576349540190263, "compression_ratio": 1.7423312883435582, "no_speech_prob": 0.0, "words": [{"start": 1935.85, "end": 1936.41, "word": "وكنا", "probability": 0.5868326822916666}, {"start": 1936.41, "end": 1936.85, "word": " بنجل", "probability": 0.52880859375}, {"start": 1936.85, "end": 1937.47, "word": " المثلثة", "probability": 0.8052734375}, {"start": 1937.47, "end": 1937.63, "word": " و", "probability": 0.306396484375}, {"start": 1937.63, "end": 1938.47, "word": " بنرسمه", "probability": 0.63653564453125}, {"start": 1938.47, "end": 1938.55, "word": " و", "probability": 0.5859375}, {"start": 1938.55, "end": 1939.01, "word": " بنطلق", "probability": 0.7626953125}, {"start": 1939.01, "end": 1939.77, "word": " القيام،", "probability": 0.7529296875}, {"start": 1939.77, "end": 1940.43, "word": " طبعا،", "probability": 0.748681640625}, {"start": 1940.43, "end": 1940.85, "word": " بس", "probability": 0.966796875}, {"start": 1940.85, "end": 1940.99, "word": " أنا", "probability": 0.64794921875}, {"start": 1940.99, "end": 1941.49, "word": " ماعنديش", "probability": 0.9744140625}, {"start": 1941.49, "end": 1942.23, "word": " مثلثة،", "probability": 0.79365234375}, {"start": 1942.23, "end": 1942.45, "word": " لكن", "probability": 0.97119140625}, {"start": 1942.45, "end": 1942.91, "word": " عندي", "probability": 0.8994140625}, {"start": 1942.91, "end": 1943.39, "word": " تعريف", "probability": 0.9775390625}, {"start": 1943.39, "end": 1944.31, "word": " لمين؟", "probability": 0.92431640625}, {"start": 1944.31, "end": 1945.55, "word": " للسنج،", "probability": 0.633642578125}, {"start": 1945.55, "end": 1946.31, "word": " يبقى", "probability": 0.981201171875}, {"start": 1946.31, "end": 1946.69, "word": " أنا", "probability": 0.65673828125}, {"start": 1946.69, "end": 1947.09, "word": " الآن", "probability": 0.6234130859375}, {"start": 1947.09, "end": 1947.43, "word": " مشان", "probability": 0.730224609375}, {"start": 1947.43, "end": 1947.91, "word": " أعرف", "probability": 0.9148763020833334}, {"start": 1947.91, "end": 1948.35, "word": " هذه", "probability": 0.96484375}, {"start": 1948.35, "end": 1949.13, "word": " القيمة،", "probability": 0.925537109375}, {"start": 1949.13, "end": 1949.39, "word": " بدي", "probability": 0.798095703125}, {"start": 1949.39, "end": 1949.97, "word": " أرجع", "probability": 0.9606119791666666}, {"start": 1949.97, "end": 1950.63, "word": " لتعريف", "probability": 0.987109375}, {"start": 1950.63, "end": 1951.17, "word": " السنج", "probability": 0.9734700520833334}], "temperature": 1.0}, {"id": 83, "seek": 197727, "start": 1951.41, "end": 1977.27, "text": "سنش ال X هو E أس X ناقص E أس ناقص X على اتنين مكان ال X كده شجاني يبقى E أس اتنين لن ال X ناقص E أس ناقص اتنين لن ال X على اتنين يبقى هذا يسوي E أس اتنين لن ال X ناقص E أس ناقص اتنين لن ال X كل هذا على ايه؟ على اتنين", "tokens": [3794, 1863, 8592, 2423, 1783, 31439, 462, 5551, 3794, 1783, 8717, 995, 4587, 9381, 462, 5551, 3794, 8717, 995, 4587, 9381, 1783, 15844, 1975, 2655, 1863, 9957, 3714, 41361, 2423, 1783, 9122, 3215, 3224, 13412, 7435, 7649, 1829, 7251, 3555, 4587, 7578, 462, 5551, 3794, 1975, 2655, 1863, 9957, 5296, 1863, 2423, 1783, 8717, 995, 4587, 9381, 462, 5551, 3794, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 5296, 1863, 2423, 1783, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 23758, 7251, 3794, 45865, 462, 5551, 3794, 1975, 2655, 1863, 9957, 5296, 1863, 2423, 1783, 8717, 995, 4587, 9381, 462, 5551, 3794, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 5296, 1863, 2423, 1783, 28242, 23758, 15844, 1975, 1829, 3224, 22807, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.179199222009629, "compression_ratio": 2.706766917293233, "no_speech_prob": 0.0, "words": [{"start": 1951.41, "end": 1952.13, "word": "سنش", "probability": 0.5570780436197916}, {"start": 1952.13, "end": 1952.39, "word": " ال", "probability": 0.6943359375}, {"start": 1952.39, "end": 1952.67, "word": " X", "probability": 0.61328125}, {"start": 1952.67, "end": 1952.95, "word": " هو", "probability": 0.95166015625}, {"start": 1952.95, "end": 1953.19, "word": " E", "probability": 0.63818359375}, {"start": 1953.19, "end": 1953.51, "word": " أس", "probability": 0.38824462890625}, {"start": 1953.51, "end": 1953.71, "word": " X", "probability": 0.841796875}, {"start": 1953.71, "end": 1954.17, "word": " ناقص", "probability": 0.8697509765625}, {"start": 1954.17, "end": 1954.29, "word": " E", "probability": 0.966796875}, {"start": 1954.29, "end": 1954.45, "word": " أس", "probability": 0.900634765625}, {"start": 1954.45, "end": 1954.81, "word": " ناقص", "probability": 0.98193359375}, {"start": 1954.81, "end": 1955.05, "word": " X", "probability": 0.990234375}, {"start": 1955.05, "end": 1955.27, "word": " على", "probability": 0.66845703125}, {"start": 1955.27, "end": 1955.65, "word": " اتنين", "probability": 0.8311767578125}, {"start": 1955.65, "end": 1956.55, "word": " مكان", "probability": 0.794677734375}, {"start": 1956.55, "end": 1956.69, "word": " ال", "probability": 0.77392578125}, {"start": 1956.69, "end": 1956.87, "word": " X", "probability": 0.97900390625}, {"start": 1956.87, "end": 1957.15, "word": " كده", "probability": 0.7117513020833334}, {"start": 1957.15, "end": 1957.93, "word": " شجاني", "probability": 0.57818603515625}, {"start": 1957.93, "end": 1959.49, "word": " يبقى", "probability": 0.8848876953125}, {"start": 1959.49, "end": 1959.73, "word": " E", "probability": 0.96142578125}, {"start": 1959.73, "end": 1960.23, "word": " أس", "probability": 0.941162109375}, {"start": 1960.23, "end": 1960.91, "word": " اتنين", "probability": 0.94140625}, {"start": 1960.91, "end": 1961.33, "word": " لن", "probability": 0.76220703125}, {"start": 1961.33, "end": 1961.57, "word": " ال", "probability": 0.69287109375}, {"start": 1961.57, "end": 1961.89, "word": " X", "probability": 0.990234375}, {"start": 1961.89, "end": 1962.67, "word": " ناقص", "probability": 0.9896240234375}, {"start": 1962.67, "end": 1962.91, "word": " E", "probability": 0.99365234375}, {"start": 1962.91, "end": 1963.17, "word": " أس", "probability": 0.97216796875}, {"start": 1963.17, "end": 1963.67, "word": " ناقص", "probability": 0.994140625}, {"start": 1963.67, "end": 1964.13, "word": " اتنين", "probability": 0.976318359375}, {"start": 1964.13, "end": 1964.43, "word": " لن", "probability": 0.981201171875}, {"start": 1964.43, "end": 1964.59, "word": " ال", "probability": 0.93115234375}, {"start": 1964.59, "end": 1964.89, "word": " X", "probability": 0.99609375}, {"start": 1964.89, "end": 1965.49, "word": " على", "probability": 0.91796875}, {"start": 1965.49, "end": 1966.59, "word": " اتنين", "probability": 0.969970703125}, {"start": 1966.59, "end": 1967.47, "word": " يبقى", "probability": 0.981201171875}, {"start": 1967.47, "end": 1967.79, "word": " هذا", "probability": 0.93359375}, {"start": 1967.79, "end": 1968.63, "word": " يسوي", "probability": 0.3924153645833333}, {"start": 1968.63, "end": 1969.03, "word": " E", "probability": 0.978515625}, {"start": 1969.03, "end": 1969.49, "word": " أس", "probability": 0.98779296875}, {"start": 1969.49, "end": 1970.07, "word": " اتنين", "probability": 0.97314453125}, {"start": 1970.07, "end": 1970.51, "word": " لن", "probability": 0.982666015625}, {"start": 1970.51, "end": 1970.71, "word": " ال", "probability": 0.9140625}, {"start": 1970.71, "end": 1971.07, "word": " X", "probability": 0.9931640625}, {"start": 1971.07, "end": 1971.99, "word": " ناقص", "probability": 0.995849609375}, {"start": 1971.99, "end": 1972.23, "word": " E", "probability": 0.99755859375}, {"start": 1972.23, "end": 1972.49, "word": " أس", "probability": 0.98046875}, {"start": 1972.49, "end": 1973.03, "word": " ناقص", "probability": 0.99658203125}, {"start": 1973.03, "end": 1973.71, "word": " اتنين", "probability": 0.9854736328125}, {"start": 1973.71, "end": 1974.17, "word": " لن", "probability": 0.990966796875}, {"start": 1974.17, "end": 1974.37, "word": " ال", "probability": 0.98388671875}, {"start": 1974.37, "end": 1974.73, "word": " X", "probability": 0.9970703125}, {"start": 1974.73, "end": 1975.11, "word": " كل", "probability": 0.87158203125}, {"start": 1975.11, "end": 1975.55, "word": " هذا", "probability": 0.8525390625}, {"start": 1975.55, "end": 1975.83, "word": " على", "probability": 0.54345703125}, {"start": 1975.83, "end": 1976.43, "word": " ايه؟", "probability": 0.63568115234375}, {"start": 1976.43, "end": 1976.83, "word": " على", "probability": 0.89013671875}, {"start": 1976.83, "end": 1977.27, "word": " اتنين", "probability": 0.9649658203125}], "temperature": 1.0}, {"id": 84, "seek": 199654, "start": 1977.76, "end": 1996.54, "text": "بنرجع لـ Exponential Function سبعة تلاتة نقول له اه يعني هذا لو بسط بديش اشوف المسألة لا exponential ولا حتى len مشان هيك بنقول بسيطة هذا رقم قبل ال len إذا بيجي أسلمين", "tokens": [3555, 1863, 47341, 3615, 5296, 39184, 21391, 266, 2549, 11166, 882, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8717, 39648, 46740, 1975, 3224, 37495, 22653, 23758, 45164, 4724, 3794, 9566, 4724, 16254, 8592, 1975, 8592, 38688, 9673, 3794, 10721, 37977, 20193, 21510, 49429, 11331, 49975, 40116, 37893, 7649, 39896, 4117, 44945, 39648, 4724, 3794, 1829, 9566, 3660, 23758, 12602, 4587, 2304, 12174, 36150, 2423, 40116, 11933, 15730, 4724, 1829, 7435, 1829, 5551, 3794, 19528, 9957], "avg_logprob": -0.3826069106396876, "compression_ratio": 1.4565217391304348, "no_speech_prob": 0.0, "words": [{"start": 1977.76, "end": 1978.86, "word": "بنرجع", "probability": 0.57403564453125}, {"start": 1978.86, "end": 1979.06, "word": " لـ", "probability": 0.3978271484375}, {"start": 1979.06, "end": 1980.42, "word": " Exponential", "probability": 0.7265625}, {"start": 1980.42, "end": 1980.88, "word": " Function", "probability": 0.673828125}, {"start": 1980.88, "end": 1981.78, "word": " سبعة", "probability": 0.6541341145833334}, {"start": 1981.78, "end": 1983.1, "word": " تلاتة", "probability": 0.820068359375}, {"start": 1983.1, "end": 1983.86, "word": " نقول", "probability": 0.395111083984375}, {"start": 1983.86, "end": 1984.04, "word": " له", "probability": 0.52783203125}, {"start": 1984.04, "end": 1984.38, "word": " اه", "probability": 0.5885009765625}, {"start": 1984.38, "end": 1984.84, "word": " يعني", "probability": 0.737548828125}, {"start": 1984.84, "end": 1985.3, "word": " هذا", "probability": 0.775390625}, {"start": 1985.3, "end": 1985.58, "word": " لو", "probability": 0.96240234375}, {"start": 1985.58, "end": 1986.3, "word": " بسط", "probability": 0.9552408854166666}, {"start": 1986.3, "end": 1987.0, "word": " بديش", "probability": 0.6679484049479166}, {"start": 1987.0, "end": 1987.32, "word": " اشوف", "probability": 0.8837890625}, {"start": 1987.32, "end": 1988.02, "word": " المسألة", "probability": 0.9178466796875}, {"start": 1988.02, "end": 1988.3, "word": " لا", "probability": 0.8232421875}, {"start": 1988.3, "end": 1989.12, "word": " exponential", "probability": 0.734375}, {"start": 1989.12, "end": 1990.06, "word": " ولا", "probability": 0.95068359375}, {"start": 1990.06, "end": 1990.68, "word": " حتى", "probability": 0.840576171875}, {"start": 1990.68, "end": 1991.0, "word": " len", "probability": 0.1815185546875}, {"start": 1991.0, "end": 1992.12, "word": " مشان", "probability": 0.751220703125}, {"start": 1992.12, "end": 1992.48, "word": " هيك", "probability": 0.82373046875}, {"start": 1992.48, "end": 1992.78, "word": " بنقول", "probability": 0.6851806640625}, {"start": 1992.78, "end": 1993.44, "word": " بسيطة", "probability": 0.96435546875}, {"start": 1993.44, "end": 1993.8, "word": " هذا", "probability": 0.85400390625}, {"start": 1993.8, "end": 1994.34, "word": " رقم", "probability": 0.9505208333333334}, {"start": 1994.34, "end": 1994.7, "word": " قبل", "probability": 0.751220703125}, {"start": 1994.7, "end": 1994.86, "word": " ال", "probability": 0.81298828125}, {"start": 1994.86, "end": 1995.06, "word": " len", "probability": 0.445068359375}, {"start": 1995.06, "end": 1995.38, "word": " إذا", "probability": 0.673095703125}, {"start": 1995.38, "end": 1995.72, "word": " بيجي", "probability": 0.9603271484375}, {"start": 1995.72, "end": 1996.54, "word": " أسلمين", "probability": 0.7613525390625}], "temperature": 1.0}, {"id": 85, "seek": 200799, "start": 1996.93, "end": 2007.99, "text": "لل X يبقى هذا E أس ل X تربية وهذا ناقص E أس ل X أسالي باتنين", "tokens": [1211, 1211, 1783, 7251, 3555, 4587, 7578, 23758, 462, 5551, 3794, 5296, 1783, 6055, 25513, 10632, 37037, 15730, 8717, 995, 4587, 9381, 462, 5551, 3794, 5296, 1783, 5551, 3794, 6027, 1829, 4724, 9307, 1863, 9957], "avg_logprob": -0.3020833225713836, "compression_ratio": 1.2531645569620253, "no_speech_prob": 0.0, "words": [{"start": 1996.93, "end": 1997.49, "word": "لل", "probability": 0.386474609375}, {"start": 1997.49, "end": 1997.83, "word": " X", "probability": 0.2232666015625}, {"start": 1997.83, "end": 1998.37, "word": " يبقى", "probability": 0.9193115234375}, {"start": 1998.37, "end": 1998.79, "word": " هذا", "probability": 0.79052734375}, {"start": 1998.79, "end": 1999.39, "word": " E", "probability": 0.67236328125}, {"start": 1999.39, "end": 2000.15, "word": " أس", "probability": 0.4219970703125}, {"start": 2000.15, "end": 2000.49, "word": " ل", "probability": 0.72021484375}, {"start": 2000.49, "end": 2001.47, "word": " X", "probability": 0.66552734375}, {"start": 2001.47, "end": 2002.17, "word": " تربية", "probability": 0.8037109375}, {"start": 2002.17, "end": 2003.33, "word": " وهذا", "probability": 0.840087890625}, {"start": 2003.33, "end": 2004.21, "word": " ناقص", "probability": 0.9002685546875}, {"start": 2004.21, "end": 2004.65, "word": " E", "probability": 0.94384765625}, {"start": 2004.65, "end": 2005.33, "word": " أس", "probability": 0.95947265625}, {"start": 2005.33, "end": 2005.73, "word": " ل", "probability": 0.8623046875}, {"start": 2005.73, "end": 2006.53, "word": " X", "probability": 0.97216796875}, {"start": 2006.53, "end": 2007.37, "word": " أسالي", "probability": 0.921630859375}, {"start": 2007.37, "end": 2007.99, "word": " باتنين", "probability": 0.811767578125}], "temperature": 1.0}, {"id": 86, "seek": 203876, "start": 2010.28, "end": 2038.76, "text": "هذا بيلغى التاني لإن هو ده لو معكوسها بيبقى لاندي قداش X تربية ناقص X أس ناقص اتنين على اتنين او ان شئتم فقولوا X square ناقص واحد على X square كله على اتنين او بصيغة اخرى لو وحدنا المقامات بيصير X أس اربعة ناقص واحد كله على اتنين X تربية", "tokens": [3224, 15730, 4724, 1829, 1211, 17082, 7578, 16712, 7649, 1829, 5296, 28814, 1863, 31439, 11778, 3224, 45164, 20449, 4117, 41779, 11296, 4724, 1829, 3555, 4587, 7578, 5296, 7649, 16254, 12174, 3215, 33599, 1783, 6055, 25513, 10632, 8717, 995, 4587, 9381, 1783, 5551, 3794, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 15844, 1975, 2655, 1863, 9957, 1975, 2407, 16472, 13412, 19986, 39237, 6156, 39648, 14407, 1783, 3732, 8717, 995, 4587, 9381, 36764, 24401, 15844, 1783, 3732, 28242, 3224, 15844, 1975, 2655, 1863, 9957, 1975, 2407, 4724, 9381, 1829, 17082, 3660, 1975, 34740, 7578, 45164, 4032, 24401, 8315, 9673, 4587, 10943, 9307, 4724, 1829, 9381, 13546, 1783, 5551, 3794, 1975, 25513, 27884, 8717, 995, 4587, 9381, 36764, 24401, 28242, 3224, 15844, 1975, 2655, 1863, 9957, 1783, 6055, 25513, 10632], "avg_logprob": -0.20675872093023256, "compression_ratio": 2.0, "no_speech_prob": 0.0, "words": [{"start": 2010.28, "end": 2010.92, "word": "هذا", "probability": 0.73388671875}, {"start": 2010.92, "end": 2011.76, "word": " بيلغى", "probability": 0.4973876953125}, {"start": 2011.76, "end": 2012.1, "word": " التاني", "probability": 0.7708333333333334}, {"start": 2012.1, "end": 2012.3, "word": " لإن", "probability": 0.7327473958333334}, {"start": 2012.3, "end": 2012.5, "word": " هو", "probability": 0.7333984375}, {"start": 2012.5, "end": 2012.74, "word": " ده", "probability": 0.705078125}, {"start": 2012.74, "end": 2012.94, "word": " لو", "probability": 0.55126953125}, {"start": 2012.94, "end": 2013.66, "word": " معكوسها", "probability": 0.676422119140625}, {"start": 2013.66, "end": 2013.84, "word": " بيبقى", "probability": 0.788330078125}, {"start": 2013.84, "end": 2014.22, "word": " لاندي", "probability": 0.5855305989583334}, {"start": 2014.22, "end": 2014.98, "word": " قداش", "probability": 0.8204752604166666}, {"start": 2014.98, "end": 2015.76, "word": " X", "probability": 0.40673828125}, {"start": 2015.76, "end": 2016.46, "word": " تربية", "probability": 0.6573893229166666}, {"start": 2016.46, "end": 2017.48, "word": " ناقص", "probability": 0.8824462890625}, {"start": 2017.48, "end": 2017.82, "word": " X", "probability": 0.84326171875}, {"start": 2017.82, "end": 2018.12, "word": " أس", "probability": 0.619140625}, {"start": 2018.12, "end": 2018.64, "word": " ناقص", "probability": 0.98291015625}, {"start": 2018.64, "end": 2019.12, "word": " اتنين", "probability": 0.90234375}, {"start": 2019.12, "end": 2019.54, "word": " على", "probability": 0.7802734375}, {"start": 2019.54, "end": 2020.96, "word": " اتنين", "probability": 0.9752197265625}, {"start": 2020.96, "end": 2021.5, "word": " او", "probability": 0.777587890625}, {"start": 2021.5, "end": 2021.64, "word": " ان", "probability": 0.59765625}, {"start": 2021.64, "end": 2022.16, "word": " شئتم", "probability": 0.8347981770833334}, {"start": 2022.16, "end": 2023.2, "word": " فقولوا", "probability": 0.8797200520833334}, {"start": 2023.2, "end": 2023.82, "word": " X", "probability": 0.91357421875}, {"start": 2023.82, "end": 2024.58, "word": " square", "probability": 0.397216796875}, {"start": 2024.58, "end": 2025.42, "word": " ناقص", "probability": 0.98876953125}, {"start": 2025.42, "end": 2025.88, "word": " واحد", "probability": 0.988525390625}, {"start": 2025.88, "end": 2026.16, "word": " على", "probability": 0.73779296875}, {"start": 2026.16, "end": 2026.48, "word": " X", "probability": 0.98583984375}, {"start": 2026.48, "end": 2026.98, "word": " square", "probability": 0.74609375}, {"start": 2026.98, "end": 2027.48, "word": " كله", "probability": 0.949462890625}, {"start": 2027.48, "end": 2027.72, "word": " على", "probability": 0.92431640625}, {"start": 2027.72, "end": 2028.42, "word": " اتنين", "probability": 0.981689453125}, {"start": 2028.42, "end": 2029.22, "word": " او", "probability": 0.836181640625}, {"start": 2029.22, "end": 2029.86, "word": " بصيغة", "probability": 0.98984375}, {"start": 2029.86, "end": 2030.38, "word": " اخرى", "probability": 0.8494466145833334}, {"start": 2030.38, "end": 2030.56, "word": " لو", "probability": 0.96728515625}, {"start": 2030.56, "end": 2031.34, "word": " وحدنا", "probability": 0.9645182291666666}, {"start": 2031.34, "end": 2032.4, "word": " المقامات", "probability": 0.98681640625}, {"start": 2032.4, "end": 2033.3, "word": " بيصير", "probability": 0.8795166015625}, {"start": 2033.3, "end": 2033.66, "word": " X", "probability": 0.97802734375}, {"start": 2033.66, "end": 2034.0, "word": " أس", "probability": 0.948974609375}, {"start": 2034.0, "end": 2034.54, "word": " اربعة", "probability": 0.8235677083333334}, {"start": 2034.54, "end": 2035.16, "word": " ناقص", "probability": 0.9930419921875}, {"start": 2035.16, "end": 2035.7, "word": " واحد", "probability": 0.991455078125}, {"start": 2035.7, "end": 2036.62, "word": " كله", "probability": 0.977783203125}, {"start": 2036.62, "end": 2036.9, "word": " على", "probability": 0.92236328125}, {"start": 2036.9, "end": 2037.7, "word": " اتنين", "probability": 0.973388671875}, {"start": 2037.7, "end": 2038.18, "word": " X", "probability": 0.9755859375}, {"start": 2038.18, "end": 2038.76, "word": " تربية", "probability": 0.9521484375}], "temperature": 1.0}, {"id": 87, "seek": 205794, "start": 2039.12, "end": 2057.94, "text": "يبقى هذه المثلة لا فيها Sing ولا فيها Lin يبقى لما يقول لبسطها يعني اتخلص من كل الكلكة اللي عندك واتهالي بدلالة من؟ بدلالة X طيب نجي لنمر بيه اول نقطة ثانية اعتبر هذه A وهذه B", "tokens": [1829, 3555, 4587, 7578, 29538, 9673, 12984, 37977, 20193, 8978, 11296, 7474, 49429, 8978, 11296, 9355, 7251, 3555, 4587, 7578, 5296, 15042, 7251, 39648, 5296, 3555, 3794, 9566, 11296, 37495, 22653, 1975, 2655, 9778, 1211, 9381, 9154, 28242, 33251, 23275, 3660, 13672, 1829, 43242, 4117, 4032, 9307, 3224, 6027, 1829, 47525, 1211, 6027, 3660, 9154, 22807, 47525, 1211, 6027, 3660, 1783, 23032, 1829, 3555, 8717, 7435, 1829, 5296, 1863, 29973, 4724, 1829, 3224, 1975, 12610, 8717, 47432, 3660, 38637, 7649, 10632, 1975, 34268, 26890, 29538, 316, 37037, 24192, 363], "avg_logprob": -0.2703125129143397, "compression_ratio": 1.6795580110497237, "no_speech_prob": 0.0, "words": [{"start": 2039.12, "end": 2039.72, "word": "يبقى", "probability": 0.7774658203125}, {"start": 2039.72, "end": 2039.88, "word": " هذه", "probability": 0.356201171875}, {"start": 2039.88, "end": 2040.38, "word": " المثلة", "probability": 0.8645833333333334}, {"start": 2040.38, "end": 2040.58, "word": " لا", "probability": 0.7587890625}, {"start": 2040.58, "end": 2040.9, "word": " فيها", "probability": 0.9765625}, {"start": 2040.9, "end": 2041.38, "word": " Sing", "probability": 0.071533203125}, {"start": 2041.38, "end": 2042.18, "word": " ولا", "probability": 0.92626953125}, {"start": 2042.18, "end": 2042.66, "word": " فيها", "probability": 0.91748046875}, {"start": 2042.66, "end": 2043.02, "word": " Lin", "probability": 0.6474609375}, {"start": 2043.02, "end": 2043.58, "word": " يبقى", "probability": 0.8778076171875}, {"start": 2043.58, "end": 2043.78, "word": " لما", "probability": 0.794921875}, {"start": 2043.78, "end": 2044.02, "word": " يقول", "probability": 0.727783203125}, {"start": 2044.02, "end": 2044.8, "word": " لبسطها", "probability": 0.8225341796875}, {"start": 2044.8, "end": 2045.08, "word": " يعني", "probability": 0.83984375}, {"start": 2045.08, "end": 2045.8, "word": " اتخلص", "probability": 0.90576171875}, {"start": 2045.8, "end": 2046.04, "word": " من", "probability": 0.99072265625}, {"start": 2046.04, "end": 2046.38, "word": " كل", "probability": 0.9453125}, {"start": 2046.38, "end": 2046.94, "word": " الكلكة", "probability": 0.6261393229166666}, {"start": 2046.94, "end": 2047.08, "word": " اللي", "probability": 0.8369140625}, {"start": 2047.08, "end": 2047.38, "word": " عندك", "probability": 0.985595703125}, {"start": 2047.38, "end": 2047.84, "word": " واتهالي", "probability": 0.6992431640625}, {"start": 2047.84, "end": 2048.36, "word": " بدلالة", "probability": 0.9296875}, {"start": 2048.36, "end": 2048.84, "word": " من؟", "probability": 0.44976806640625}, {"start": 2048.84, "end": 2050.38, "word": " بدلالة", "probability": 0.9930419921875}, {"start": 2050.38, "end": 2050.84, "word": " X", "probability": 0.66064453125}, {"start": 2050.84, "end": 2051.42, "word": " طيب", "probability": 0.8977864583333334}, {"start": 2051.42, "end": 2051.82, "word": " نجي", "probability": 0.8212890625}, {"start": 2051.82, "end": 2052.2, "word": " لنمر", "probability": 0.9069010416666666}, {"start": 2052.2, "end": 2053.02, "word": " بيه", "probability": 0.62646484375}, {"start": 2053.02, "end": 2053.56, "word": " اول", "probability": 0.5753173828125}, {"start": 2053.56, "end": 2054.02, "word": " نقطة", "probability": 0.9051106770833334}, {"start": 2054.02, "end": 2054.5, "word": " ثانية", "probability": 0.7803548177083334}, {"start": 2054.5, "end": 2055.36, "word": " اعتبر", "probability": 0.9640299479166666}, {"start": 2055.36, "end": 2055.78, "word": " هذه", "probability": 0.76220703125}, {"start": 2055.78, "end": 2056.3, "word": " A", "probability": 0.822265625}, {"start": 2056.3, "end": 2057.54, "word": " وهذه", "probability": 0.775634765625}, {"start": 2057.54, "end": 2057.94, "word": " B", "probability": 0.869140625}], "temperature": 1.0}, {"id": 88, "seek": 207810, "start": 2059.56, "end": 2078.1, "text": "نمر بيه بيقول بدي قداش لن لجوش ال X زائد سنش ال X زائد لن جوش ال X ناقص سنش ال X ما شاء الله عليها يعني مش صغيرة", "tokens": [1863, 29973, 4724, 1829, 3224, 4724, 1829, 39648, 4724, 16254, 12174, 3215, 33599, 5296, 1863, 5296, 7435, 2407, 8592, 2423, 1783, 30767, 16373, 3215, 8608, 1863, 8592, 2423, 1783, 30767, 16373, 3215, 5296, 1863, 10874, 2407, 8592, 2423, 1783, 8717, 995, 4587, 9381, 8608, 1863, 8592, 2423, 1783, 19446, 13412, 16606, 21984, 25894, 11296, 37495, 22653, 37893, 20328, 17082, 48923], "avg_logprob": -0.19825819085855953, "compression_ratio": 1.6551724137931034, "no_speech_prob": 0.0, "words": [{"start": 2059.56, "end": 2059.98, "word": "نمر", "probability": 0.57666015625}, {"start": 2059.98, "end": 2060.3, "word": " بيه", "probability": 0.6912434895833334}, {"start": 2060.3, "end": 2060.68, "word": " بيقول", "probability": 0.9036458333333334}, {"start": 2060.68, "end": 2061.2, "word": " بدي", "probability": 0.488037109375}, {"start": 2061.2, "end": 2061.9, "word": " قداش", "probability": 0.8474934895833334}, {"start": 2061.9, "end": 2062.56, "word": " لن", "probability": 0.749755859375}, {"start": 2062.56, "end": 2063.92, "word": " لجوش", "probability": 0.8865966796875}, {"start": 2063.92, "end": 2064.26, "word": " ال", "probability": 0.904296875}, {"start": 2064.26, "end": 2064.7, "word": " X", "probability": 0.76220703125}, {"start": 2064.7, "end": 2066.04, "word": " زائد", "probability": 0.7960611979166666}, {"start": 2066.04, "end": 2067.0, "word": " سنش", "probability": 0.9638671875}, {"start": 2067.0, "end": 2067.46, "word": " ال", "probability": 0.8232421875}, {"start": 2067.46, "end": 2067.96, "word": " X", "probability": 0.98291015625}, {"start": 2067.96, "end": 2070.4, "word": " زائد", "probability": 0.7748209635416666}, {"start": 2070.4, "end": 2071.46, "word": " لن", "probability": 0.92138671875}, {"start": 2071.46, "end": 2072.44, "word": " جوش", "probability": 0.9801432291666666}, {"start": 2072.44, "end": 2072.74, "word": " ال", "probability": 0.93798828125}, {"start": 2072.74, "end": 2073.16, "word": " X", "probability": 0.98291015625}, {"start": 2073.16, "end": 2074.48, "word": " ناقص", "probability": 0.9488525390625}, {"start": 2074.48, "end": 2075.42, "word": " سنش", "probability": 0.9851888020833334}, {"start": 2075.42, "end": 2075.68, "word": " ال", "probability": 0.849609375}, {"start": 2075.68, "end": 2076.04, "word": " X", "probability": 0.9951171875}, {"start": 2076.04, "end": 2076.4, "word": " ما", "probability": 0.3857421875}, {"start": 2076.4, "end": 2076.64, "word": " شاء", "probability": 0.958984375}, {"start": 2076.64, "end": 2076.76, "word": " الله", "probability": 0.96484375}, {"start": 2076.76, "end": 2077.14, "word": " عليها", "probability": 0.95654296875}, {"start": 2077.14, "end": 2077.42, "word": " يعني", "probability": 0.884765625}, {"start": 2077.42, "end": 2077.62, "word": " مش", "probability": 0.96533203125}, {"start": 2077.62, "end": 2078.1, "word": " صغيرة", "probability": 0.9475911458333334}], "temperature": 1.0}, {"id": 89, "seek": 210323, "start": 2078.88, "end": 2103.24, "text": "كبيرة خالص، طبعا؟ طيب، هذه بسيطة، بقوله يستوي، إيش بتختارها علينا مشان نبسط قيمة المعرفة؟ نسمع المقترح الأول نعمل هضر نعمل هضر، هذه وجهة نظر سليمة، لما نشوف هل هناك وجهات نظر أخرى ولا لا، خلينا نطبق اللي قال عنه، زميكو بيقول، شو اسمك أنت؟", "tokens": [4117, 3555, 48923, 16490, 6027, 9381, 12399, 23032, 3555, 3615, 995, 22807, 23032, 1829, 3555, 12399, 29538, 4724, 3794, 1829, 9566, 3660, 12399, 4724, 39648, 3224, 7251, 14851, 45865, 12399, 11933, 1829, 8592, 39894, 46456, 9640, 11296, 25894, 8315, 37893, 7649, 8717, 3555, 3794, 9566, 12174, 32640, 3660, 9673, 3615, 28480, 3660, 22807, 8717, 38251, 3615, 9673, 38149, 2288, 5016, 16247, 12610, 8717, 25957, 1211, 8032, 11242, 2288, 8717, 25957, 1211, 8032, 11242, 2288, 12399, 29538, 49610, 3224, 3660, 8717, 19913, 2288, 8608, 20292, 46007, 12399, 5296, 15042, 8717, 8592, 38688, 8032, 1211, 34105, 4117, 49610, 3224, 9307, 8717, 19913, 2288, 5551, 34740, 7578, 49429, 20193, 12399, 16490, 1211, 9957, 995, 8717, 9566, 3555, 4587, 13672, 1829, 50239, 18871, 3224, 12399, 30767, 2304, 1829, 4117, 2407, 4724, 1829, 39648, 12399, 13412, 2407, 24525, 2304, 4117, 14739, 2655, 22807], "avg_logprob": -0.23516186621549318, "compression_ratio": 1.8461538461538463, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2078.88, "end": 2079.22, "word": "كبيرة", "probability": 0.672119140625}, {"start": 2079.22, "end": 2079.94, "word": " خالص،", "probability": 0.788909912109375}, {"start": 2079.94, "end": 2081.54, "word": " طبعا؟", "probability": 0.732421875}, {"start": 2081.54, "end": 2082.68, "word": " طيب،", "probability": 0.836669921875}, {"start": 2082.68, "end": 2083.72, "word": " هذه", "probability": 0.638671875}, {"start": 2083.72, "end": 2084.38, "word": " بسيطة،", "probability": 0.9236653645833334}, {"start": 2084.38, "end": 2084.82, "word": " بقوله", "probability": 0.7306315104166666}, {"start": 2084.82, "end": 2086.1, "word": " يستوي،", "probability": 0.65447998046875}, {"start": 2086.1, "end": 2086.66, "word": " إيش", "probability": 0.7411295572916666}, {"start": 2086.66, "end": 2087.3, "word": " بتختارها", "probability": 0.79296875}, {"start": 2087.3, "end": 2087.8, "word": " علينا", "probability": 0.9189453125}, {"start": 2087.8, "end": 2088.14, "word": " مشان", "probability": 0.3421630859375}, {"start": 2088.14, "end": 2088.76, "word": " نبسط", "probability": 0.73272705078125}, {"start": 2088.76, "end": 2089.3, "word": " قيمة", "probability": 0.9728190104166666}, {"start": 2089.3, "end": 2089.62, "word": " المعرفة؟", "probability": 0.62197265625}, {"start": 2089.62, "end": 2090.02, "word": " نسمع", "probability": 0.97900390625}, {"start": 2090.02, "end": 2090.5, "word": " المقترح", "probability": 0.9814453125}, {"start": 2090.5, "end": 2091.0, "word": " الأول", "probability": 0.988037109375}, {"start": 2091.0, "end": 2091.48, "word": " نعمل", "probability": 0.8673502604166666}, {"start": 2091.48, "end": 2091.72, "word": " هضر", "probability": 0.8356119791666666}, {"start": 2091.72, "end": 2092.86, "word": " نعمل", "probability": 0.7420247395833334}, {"start": 2092.86, "end": 2093.4, "word": " هضر،", "probability": 0.9111328125}, {"start": 2093.4, "end": 2093.82, "word": " هذه", "probability": 0.72265625}, {"start": 2093.82, "end": 2094.32, "word": " وجهة", "probability": 0.97216796875}, {"start": 2094.32, "end": 2094.68, "word": " نظر", "probability": 0.9305013020833334}, {"start": 2094.68, "end": 2095.52, "word": " سليمة،", "probability": 0.7598876953125}, {"start": 2095.52, "end": 2096.0, "word": " لما", "probability": 0.9560546875}, {"start": 2096.0, "end": 2096.48, "word": " نشوف", "probability": 0.9939778645833334}, {"start": 2096.48, "end": 2096.76, "word": " هل", "probability": 0.956787109375}, {"start": 2096.76, "end": 2097.22, "word": " هناك", "probability": 0.979736328125}, {"start": 2097.22, "end": 2097.68, "word": " وجهات", "probability": 0.9230143229166666}, {"start": 2097.68, "end": 2098.06, "word": " نظر", "probability": 0.9939778645833334}, {"start": 2098.06, "end": 2098.58, "word": " أخرى", "probability": 0.96484375}, {"start": 2098.58, "end": 2098.7, "word": " ولا", "probability": 0.6904296875}, {"start": 2098.7, "end": 2099.08, "word": " لا،", "probability": 0.60107421875}, {"start": 2099.08, "end": 2099.52, "word": " خلينا", "probability": 0.7310791015625}, {"start": 2099.52, "end": 2100.0, "word": " نطبق", "probability": 0.98583984375}, {"start": 2100.0, "end": 2100.22, "word": " اللي", "probability": 0.96044921875}, {"start": 2100.22, "end": 2100.4, "word": " قال", "probability": 0.76708984375}, {"start": 2100.4, "end": 2101.24, "word": " عنه،", "probability": 0.8312174479166666}, {"start": 2101.24, "end": 2101.84, "word": " زميكو", "probability": 0.736767578125}, {"start": 2101.84, "end": 2102.34, "word": " بيقول،", "probability": 0.8560791015625}, {"start": 2102.34, "end": 2102.5, "word": " شو", "probability": 0.928466796875}, {"start": 2102.5, "end": 2102.74, "word": " اسمك", "probability": 0.8590494791666666}, {"start": 2102.74, "end": 2103.24, "word": " أنت؟", "probability": 0.849609375}], "temperature": 1.0}, {"id": 90, "seek": 213388, "start": 2106.42, "end": 2133.88, "text": "أخوك محمد حمدا بيقول ايه بيقول لن زائد ان لو راجعنا ل section 7 اتنين بيقول هذا لن حاصل الضرب لإن اللي لما بيدخل على الضرب بيحاوله إلى جامعة بيقوله والله مظبوط يبقى لن جوش ال X زائد essential X في جوش ال X ناقص essential X بيقوله والله كلامك مظبوط", "tokens": [10721, 9778, 2407, 4117, 3714, 35571, 3215, 11331, 2304, 28259, 4724, 1829, 39648, 1975, 1829, 3224, 4724, 1829, 39648, 5296, 1863, 30767, 16373, 3215, 16472, 45164, 12602, 26108, 3615, 8315, 5296, 3541, 1614, 1975, 2655, 1863, 9957, 4724, 1829, 39648, 23758, 5296, 1863, 11331, 33546, 1211, 6024, 114, 25513, 5296, 28814, 1863, 13672, 1829, 5296, 15042, 4724, 25708, 9778, 1211, 15844, 6024, 114, 25513, 4724, 1829, 5016, 995, 12610, 3224, 30731, 10874, 10943, 27884, 4724, 1829, 39648, 3224, 16070, 43761, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 5296, 1863, 10874, 2407, 8592, 2423, 1783, 30767, 16373, 3215, 7115, 1783, 8978, 10874, 2407, 8592, 2423, 1783, 8717, 995, 4587, 9381, 7115, 1783, 4724, 1829, 39648, 3224, 16070, 43761, 28242, 10943, 4117, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.2236328093567863, "compression_ratio": 1.9166666666666667, "no_speech_prob": 0.0, "words": [{"start": 2106.42, "end": 2107.2, "word": "أخوك", "probability": 0.75732421875}, {"start": 2107.2, "end": 2108.04, "word": " محمد", "probability": 0.8829752604166666}, {"start": 2108.04, "end": 2108.46, "word": " حمدا", "probability": 0.72265625}, {"start": 2108.46, "end": 2108.82, "word": " بيقول", "probability": 0.8780924479166666}, {"start": 2108.82, "end": 2109.26, "word": " ايه", "probability": 0.76318359375}, {"start": 2109.26, "end": 2110.04, "word": " بيقول", "probability": 0.8070475260416666}, {"start": 2110.04, "end": 2110.48, "word": " لن", "probability": 0.6187744140625}, {"start": 2110.48, "end": 2111.24, "word": " زائد", "probability": 0.8876953125}, {"start": 2111.24, "end": 2111.6, "word": " ان", "probability": 0.69482421875}, {"start": 2111.6, "end": 2112.04, "word": " لو", "probability": 0.9306640625}, {"start": 2112.04, "end": 2112.56, "word": " راجعنا", "probability": 0.78131103515625}, {"start": 2112.56, "end": 2112.7, "word": " ل", "probability": 0.83203125}, {"start": 2112.7, "end": 2113.08, "word": " section", "probability": 0.5234375}, {"start": 2113.08, "end": 2113.46, "word": " 7", "probability": 0.67236328125}, {"start": 2113.46, "end": 2113.86, "word": " اتنين", "probability": 0.7569580078125}, {"start": 2113.86, "end": 2114.16, "word": " بيقول", "probability": 0.9254557291666666}, {"start": 2114.16, "end": 2114.5, "word": " هذا", "probability": 0.314208984375}, {"start": 2114.5, "end": 2115.18, "word": " لن", "probability": 0.81298828125}, {"start": 2115.18, "end": 2116.08, "word": " حاصل", "probability": 0.8206380208333334}, {"start": 2116.08, "end": 2116.54, "word": " الضرب", "probability": 0.8523763020833334}, {"start": 2116.54, "end": 2117.18, "word": " لإن", "probability": 0.7228597005208334}, {"start": 2117.18, "end": 2117.32, "word": " اللي", "probability": 0.792236328125}, {"start": 2117.32, "end": 2117.5, "word": " لما", "probability": 0.46875}, {"start": 2117.5, "end": 2117.86, "word": " بيدخل", "probability": 0.9012451171875}, {"start": 2117.86, "end": 2118.02, "word": " على", "probability": 0.8955078125}, {"start": 2118.02, "end": 2118.32, "word": " الضرب", "probability": 0.9679361979166666}, {"start": 2118.32, "end": 2119.12, "word": " بيحاوله", "probability": 0.9077962239583334}, {"start": 2119.12, "end": 2119.66, "word": " إلى", "probability": 0.29052734375}, {"start": 2119.66, "end": 2120.24, "word": " جامعة", "probability": 0.9781901041666666}, {"start": 2120.24, "end": 2120.98, "word": " بيقوله", "probability": 0.694580078125}, {"start": 2120.98, "end": 2121.24, "word": " والله", "probability": 0.8466796875}, {"start": 2121.24, "end": 2121.84, "word": " مظبوط", "probability": 0.9181640625}, {"start": 2121.84, "end": 2122.54, "word": " يبقى", "probability": 0.9627685546875}, {"start": 2122.54, "end": 2122.96, "word": " لن", "probability": 0.950439453125}, {"start": 2122.96, "end": 2123.96, "word": " جوش", "probability": 0.7232666015625}, {"start": 2123.96, "end": 2124.26, "word": " ال", "probability": 0.95166015625}, {"start": 2124.26, "end": 2124.7, "word": " X", "probability": 0.666015625}, {"start": 2124.7, "end": 2125.74, "word": " زائد", "probability": 0.9599609375}, {"start": 2125.74, "end": 2126.42, "word": " essential", "probability": 0.6201171875}, {"start": 2126.42, "end": 2127.2, "word": " X", "probability": 0.91357421875}, {"start": 2127.2, "end": 2127.98, "word": " في", "probability": 0.9296875}, {"start": 2127.98, "end": 2128.96, "word": " جوش", "probability": 0.9801432291666666}, {"start": 2128.96, "end": 2129.32, "word": " ال", "probability": 0.98291015625}, {"start": 2129.32, "end": 2129.78, "word": " X", "probability": 0.986328125}, {"start": 2129.78, "end": 2130.96, "word": " ناقص", "probability": 0.925537109375}, {"start": 2130.96, "end": 2131.56, "word": " essential", "probability": 0.619140625}, {"start": 2131.56, "end": 2132.24, "word": " X", "probability": 0.99462890625}, {"start": 2132.24, "end": 2132.74, "word": " بيقوله", "probability": 0.902587890625}, {"start": 2132.74, "end": 2132.94, "word": " والله", "probability": 0.913330078125}, {"start": 2132.94, "end": 2133.44, "word": " كلامك", "probability": 0.9239908854166666}, {"start": 2133.44, "end": 2133.88, "word": " مظبوط", "probability": 0.9708984375}], "temperature": 1.0}, {"id": 91, "seek": 216065, "start": 2134.89, "end": 2160.65, "text": "للكل سؤال هو شرايك في الجثين هدول مش هو تحليل فرق بين المربعين إذا بدي أرجعه إلى أصله قبل التحليل يبقى هذا بده يساوي لان جوش square X ناقص سنش square X ويساوي لان", "tokens": [1211, 23275, 1211, 8608, 33604, 6027, 31439, 13412, 23557, 1829, 4117, 8978, 25724, 12984, 9957, 8032, 3215, 12610, 37893, 31439, 6055, 5016, 20292, 1211, 6156, 2288, 4587, 49374, 9673, 25513, 3615, 9957, 11933, 15730, 4724, 16254, 5551, 47341, 3615, 3224, 30731, 5551, 36520, 3224, 12174, 36150, 16712, 5016, 20292, 1211, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3794, 995, 45865, 5296, 7649, 10874, 2407, 8592, 3732, 1783, 8717, 995, 4587, 9381, 8608, 1863, 8592, 3732, 1783, 4032, 1829, 3794, 995, 45865, 5296, 7649], "avg_logprob": -0.2417279467863195, "compression_ratio": 1.658682634730539, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2134.89, "end": 2136.09, "word": "للكل", "probability": 0.5618896484375}, {"start": 2136.09, "end": 2136.69, "word": " سؤال", "probability": 0.9080403645833334}, {"start": 2136.69, "end": 2137.07, "word": " هو", "probability": 0.5478515625}, {"start": 2137.07, "end": 2138.23, "word": " شرايك", "probability": 0.6639404296875}, {"start": 2138.23, "end": 2138.39, "word": " في", "probability": 0.88232421875}, {"start": 2138.39, "end": 2139.01, "word": " الجثين", "probability": 0.7662760416666666}, {"start": 2139.01, "end": 2139.71, "word": " هدول", "probability": 0.8284505208333334}, {"start": 2139.71, "end": 2140.63, "word": " مش", "probability": 0.54931640625}, {"start": 2140.63, "end": 2140.85, "word": " هو", "probability": 0.8486328125}, {"start": 2140.85, "end": 2141.87, "word": " تحليل", "probability": 0.980712890625}, {"start": 2141.87, "end": 2142.41, "word": " فرق", "probability": 0.9611002604166666}, {"start": 2142.41, "end": 2142.69, "word": " بين", "probability": 0.984375}, {"start": 2142.69, "end": 2143.59, "word": " المربعين", "probability": 0.9864501953125}, {"start": 2143.59, "end": 2144.29, "word": " إذا", "probability": 0.6864013671875}, {"start": 2144.29, "end": 2144.63, "word": " بدي", "probability": 0.752685546875}, {"start": 2144.63, "end": 2145.29, "word": " أرجعه", "probability": 0.8975830078125}, {"start": 2145.29, "end": 2145.59, "word": " إلى", "probability": 0.6865234375}, {"start": 2145.59, "end": 2146.33, "word": " أصله", "probability": 0.9122721354166666}, {"start": 2146.33, "end": 2146.97, "word": " قبل", "probability": 0.993408203125}, {"start": 2146.97, "end": 2148.03, "word": " التحليل", "probability": 0.9886474609375}, {"start": 2148.03, "end": 2149.03, "word": " يبقى", "probability": 0.9451904296875}, {"start": 2149.03, "end": 2149.37, "word": " هذا", "probability": 0.93896484375}, {"start": 2149.37, "end": 2149.81, "word": " بده", "probability": 0.5604248046875}, {"start": 2149.81, "end": 2150.49, "word": " يساوي", "probability": 0.916015625}, {"start": 2150.49, "end": 2151.23, "word": " لان", "probability": 0.4493408203125}, {"start": 2151.23, "end": 2152.23, "word": " جوش", "probability": 0.7479654947916666}, {"start": 2152.23, "end": 2152.91, "word": " square", "probability": 0.77783203125}, {"start": 2152.91, "end": 2153.65, "word": " X", "probability": 0.583984375}, {"start": 2153.65, "end": 2154.83, "word": " ناقص", "probability": 0.8387451171875}, {"start": 2154.83, "end": 2155.33, "word": " سنش", "probability": 0.765625}, {"start": 2155.33, "end": 2156.07, "word": " square", "probability": 0.755859375}, {"start": 2156.07, "end": 2156.99, "word": " X", "probability": 0.9892578125}, {"start": 2156.99, "end": 2158.23, "word": " ويساوي", "probability": 0.816064453125}, {"start": 2158.23, "end": 2160.65, "word": " لان", "probability": 0.76025390625}], "temperature": 1.0}, {"id": 92, "seek": 217802, "start": 2161.3, "end": 2178.02, "text": "قداش هذا من المتطابقات قبل شوية؟ واحد صحيح طب و لإن الواحد صحيح فقداش؟ يعني هالكلكة علي كبيره ما شاء الله عليه طلعت بالصفر طب هذا اقتراح محمد حمدا، نسمع اقتراح، شو اسمك انت؟", "tokens": [28543, 33599, 23758, 9154, 9673, 2655, 9566, 16758, 4587, 9307, 12174, 36150, 13412, 2407, 10632, 22807, 36764, 24401, 20328, 5016, 1829, 5016, 23032, 3555, 4032, 5296, 28814, 1863, 2423, 14407, 24401, 20328, 5016, 1829, 5016, 6156, 28543, 33599, 22807, 37495, 22653, 8032, 6027, 28820, 4117, 3660, 25894, 9122, 3555, 13546, 3224, 19446, 13412, 16606, 21984, 47356, 23032, 1211, 34268, 20666, 9381, 5172, 2288, 23032, 3555, 23758, 1975, 38149, 23557, 5016, 3714, 35571, 3215, 11331, 2304, 28259, 12399, 8717, 38251, 3615, 1975, 38149, 23557, 5016, 12399, 13412, 2407, 24525, 2304, 4117, 16472, 2655, 22807], "avg_logprob": -0.2132646306715113, "compression_ratio": 1.768361581920904, "no_speech_prob": 0.0, "words": [{"start": 2161.3, "end": 2161.94, "word": "قداش", "probability": 0.76318359375}, {"start": 2161.94, "end": 2162.24, "word": " هذا", "probability": 0.8056640625}, {"start": 2162.24, "end": 2162.42, "word": " من", "probability": 0.94384765625}, {"start": 2162.42, "end": 2163.42, "word": " المتطابقات", "probability": 0.9852701822916666}, {"start": 2163.42, "end": 2163.74, "word": " قبل", "probability": 0.976318359375}, {"start": 2163.74, "end": 2164.54, "word": " شوية؟", "probability": 0.811279296875}, {"start": 2164.54, "end": 2165.2, "word": " واحد", "probability": 0.9775390625}, {"start": 2165.2, "end": 2165.9, "word": " صحيح", "probability": 0.947998046875}, {"start": 2165.9, "end": 2166.66, "word": " طب", "probability": 0.6309814453125}, {"start": 2166.66, "end": 2166.78, "word": " و", "probability": 0.439453125}, {"start": 2166.78, "end": 2167.02, "word": " لإن", "probability": 0.7095540364583334}, {"start": 2167.02, "end": 2167.34, "word": " الواحد", "probability": 0.9549153645833334}, {"start": 2167.34, "end": 2167.76, "word": " صحيح", "probability": 0.991943359375}, {"start": 2167.76, "end": 2168.82, "word": " فقداش؟", "probability": 0.672210693359375}, {"start": 2168.82, "end": 2169.8, "word": " يعني", "probability": 0.947021484375}, {"start": 2169.8, "end": 2170.46, "word": " هالكلكة", "probability": 0.6951171875}, {"start": 2170.46, "end": 2170.56, "word": " علي", "probability": 0.2474365234375}, {"start": 2170.56, "end": 2170.94, "word": " كبيره", "probability": 0.7733154296875}, {"start": 2170.94, "end": 2171.06, "word": " ما", "probability": 0.564453125}, {"start": 2171.06, "end": 2171.24, "word": " شاء", "probability": 0.942626953125}, {"start": 2171.24, "end": 2171.34, "word": " الله", "probability": 0.97412109375}, {"start": 2171.34, "end": 2171.56, "word": " عليه", "probability": 0.390380859375}, {"start": 2171.56, "end": 2171.86, "word": " طلعت", "probability": 0.8341471354166666}, {"start": 2171.86, "end": 2172.48, "word": " بالصفر", "probability": 0.8753662109375}, {"start": 2172.48, "end": 2173.4, "word": " طب", "probability": 0.80810546875}, {"start": 2173.4, "end": 2173.74, "word": " هذا", "probability": 0.8408203125}, {"start": 2173.74, "end": 2174.32, "word": " اقتراح", "probability": 0.9835205078125}, {"start": 2174.32, "end": 2174.88, "word": " محمد", "probability": 0.9344075520833334}, {"start": 2174.88, "end": 2175.46, "word": " حمدا،", "probability": 0.7435302734375}, {"start": 2175.46, "end": 2175.98, "word": " نسمع", "probability": 0.9537760416666666}, {"start": 2175.98, "end": 2177.02, "word": " اقتراح،", "probability": 0.8736328125}, {"start": 2177.02, "end": 2177.18, "word": " شو", "probability": 0.939697265625}, {"start": 2177.18, "end": 2177.46, "word": " اسمك", "probability": 0.8450520833333334}, {"start": 2177.46, "end": 2178.02, "word": " انت؟", "probability": 0.8557942708333334}], "temperature": 1.0}, {"id": 93, "seek": 220711, "start": 2178.83, "end": 2207.11, "text": "محمد أبو الخير محمد أبو محمد أبو الخير هاتبنا من هذا الخير اللي عندك يالا كلام كويس يبقى هذا رجع لمين؟ محمد أبو الخير رجع للمتطابقات اللي اتكلمنا عليها و راح لآخر متطابقتين كتبناهم فمين؟ في مجموعة المتطابقات جالي هنا another solution", "tokens": [2304, 35571, 3215, 5551, 3555, 2407, 33962, 13546, 3714, 35571, 3215, 5551, 3555, 2407, 3714, 35571, 3215, 5551, 3555, 2407, 33962, 13546, 8032, 9307, 3555, 8315, 9154, 23758, 33962, 13546, 13672, 1829, 43242, 4117, 7251, 6027, 995, 28242, 10943, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 23758, 12602, 7435, 3615, 32767, 9957, 22807, 3714, 35571, 3215, 5551, 3555, 2407, 33962, 13546, 12602, 7435, 3615, 5296, 19528, 2655, 9566, 16758, 4587, 9307, 13672, 1829, 1975, 2655, 4117, 19528, 8315, 25894, 11296, 4032, 12602, 39319, 5296, 148, 95, 34740, 44650, 9566, 16758, 38149, 9957, 9122, 2655, 3555, 8315, 16095, 6156, 2304, 9957, 22807, 8978, 3714, 7435, 2304, 2407, 27884, 9673, 2655, 9566, 16758, 4587, 9307, 10874, 6027, 1829, 34105, 1071, 3827], "avg_logprob": -0.1996093732615312, "compression_ratio": 2.019704433497537, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2178.83, "end": 2179.45, "word": "محمد", "probability": 0.8912760416666666}, {"start": 2179.45, "end": 2179.59, "word": " أبو", "probability": 0.8162434895833334}, {"start": 2179.59, "end": 2179.83, "word": " الخير", "probability": 0.97119140625}, {"start": 2179.83, "end": 2180.37, "word": " محمد", "probability": 0.7259521484375}, {"start": 2180.37, "end": 2180.49, "word": " أبو", "probability": 0.8330078125}, {"start": 2180.49, "end": 2180.97, "word": " محمد", "probability": 0.89892578125}, {"start": 2180.97, "end": 2181.05, "word": " أبو", "probability": 0.6923421223958334}, {"start": 2181.05, "end": 2181.05, "word": " الخير", "probability": 0.968017578125}, {"start": 2181.05, "end": 2182.25, "word": " هاتبنا", "probability": 0.7889404296875}, {"start": 2182.25, "end": 2182.39, "word": " من", "probability": 0.95458984375}, {"start": 2182.39, "end": 2182.49, "word": " هذا", "probability": 0.298095703125}, {"start": 2182.49, "end": 2182.79, "word": " الخير", "probability": 0.976806640625}, {"start": 2182.79, "end": 2182.95, "word": " اللي", "probability": 0.883544921875}, {"start": 2182.95, "end": 2183.43, "word": " عندك", "probability": 0.986083984375}, {"start": 2183.43, "end": 2183.73, "word": " يالا", "probability": 0.6245930989583334}, {"start": 2183.73, "end": 2186.87, "word": " كلام", "probability": 0.533721923828125}, {"start": 2186.87, "end": 2187.27, "word": " كويس", "probability": 0.817138671875}, {"start": 2187.27, "end": 2187.53, "word": " يبقى", "probability": 0.87451171875}, {"start": 2187.53, "end": 2187.81, "word": " هذا", "probability": 0.83154296875}, {"start": 2187.81, "end": 2188.15, "word": " رجع", "probability": 0.9654947916666666}, {"start": 2188.15, "end": 2188.93, "word": " لمين؟", "probability": 0.8341471354166666}, {"start": 2188.93, "end": 2189.55, "word": " محمد", "probability": 0.9596354166666666}, {"start": 2189.55, "end": 2189.91, "word": " أبو", "probability": 0.9905598958333334}, {"start": 2189.91, "end": 2190.43, "word": " الخير", "probability": 0.9912109375}, {"start": 2190.43, "end": 2191.17, "word": " رجع", "probability": 0.9918619791666666}, {"start": 2191.17, "end": 2192.99, "word": " للمتطابقات", "probability": 0.9404296875}, {"start": 2192.99, "end": 2193.17, "word": " اللي", "probability": 0.95361328125}, {"start": 2193.17, "end": 2193.81, "word": " اتكلمنا", "probability": 0.93701171875}, {"start": 2193.81, "end": 2194.43, "word": " عليها", "probability": 0.980712890625}, {"start": 2194.43, "end": 2194.95, "word": " و", "probability": 0.953125}, {"start": 2194.95, "end": 2195.31, "word": " راح", "probability": 0.7548828125}, {"start": 2195.31, "end": 2196.09, "word": " لآخر", "probability": 0.8892822265625}, {"start": 2196.09, "end": 2198.25, "word": " متطابقتين", "probability": 0.9255859375}, {"start": 2198.25, "end": 2199.53, "word": " كتبناهم", "probability": 0.97529296875}, {"start": 2199.53, "end": 2200.33, "word": " فمين؟", "probability": 0.6788330078125}, {"start": 2200.33, "end": 2200.45, "word": " في", "probability": 0.67138671875}, {"start": 2200.45, "end": 2200.97, "word": " مجموعة", "probability": 0.9361328125}, {"start": 2200.97, "end": 2202.09, "word": " المتطابقات", "probability": 0.994384765625}, {"start": 2202.09, "end": 2202.97, "word": " جالي", "probability": 0.5648600260416666}, {"start": 2202.97, "end": 2203.49, "word": " هنا", "probability": 0.984375}, {"start": 2203.49, "end": 2204.55, "word": " another", "probability": 0.34521484375}, {"start": 2204.55, "end": 2207.11, "word": " solution", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 94, "seek": 223390, "start": 2208.4, "end": 2233.9, "text": "شوف يا سيدي، أجي قال لي هذا الـLin الأولى هذي شلة و حط بدلها مين؟ EO6، قلنا له والله كلامك مظبوط، و أجي للتانية و قال لي لن هذي EO سالب X، و بعد ذلك راح أستخدم صلاحيات الـLin، يبقى هذي بيصير X في لن الـE، طب لن الـE بقداش؟", "tokens": [8592, 38688, 35186, 8608, 1829, 16254, 12399, 5551, 7435, 1829, 50239, 32239, 23758, 2423, 39184, 43, 259, 16247, 12610, 7578, 8032, 8848, 1829, 13412, 37977, 4032, 11331, 9566, 47525, 1211, 11296, 3714, 9957, 22807, 462, 46, 21, 12399, 12174, 1211, 8315, 46740, 16070, 43761, 28242, 10943, 4117, 3714, 19913, 3555, 2407, 9566, 12399, 4032, 5551, 7435, 1829, 24976, 2655, 7649, 10632, 4032, 50239, 32239, 5296, 1863, 8032, 8848, 1829, 462, 46, 8608, 6027, 3555, 1783, 12399, 4032, 39182, 29910, 23275, 12602, 39319, 5551, 14851, 9778, 40448, 20328, 15040, 5016, 1829, 9307, 2423, 39184, 43, 259, 12399, 7251, 3555, 4587, 7578, 8032, 8848, 1829, 4724, 1829, 9381, 13546, 1783, 8978, 5296, 1863, 2423, 39184, 36, 12399, 23032, 3555, 5296, 1863, 2423, 39184, 36, 4724, 28543, 33599, 22807], "avg_logprob": -0.3449803295097952, "compression_ratio": 1.7194570135746607, "no_speech_prob": 0.0, "words": [{"start": 2208.4, "end": 2208.74, "word": "شوف", "probability": 0.532989501953125}, {"start": 2208.74, "end": 2208.92, "word": " يا", "probability": 0.9365234375}, {"start": 2208.92, "end": 2209.68, "word": " سيدي،", "probability": 0.693603515625}, {"start": 2209.68, "end": 2209.94, "word": " أجي", "probability": 0.48095703125}, {"start": 2209.94, "end": 2210.18, "word": " قال", "probability": 0.6357421875}, {"start": 2210.18, "end": 2210.34, "word": " لي", "probability": 0.452392578125}, {"start": 2210.34, "end": 2210.74, "word": " هذا", "probability": 0.751953125}, {"start": 2210.74, "end": 2211.66, "word": " الـLin", "probability": 0.488372802734375}, {"start": 2211.66, "end": 2212.9, "word": " الأولى", "probability": 0.8375651041666666}, {"start": 2212.9, "end": 2213.24, "word": " هذي", "probability": 0.4908854166666667}, {"start": 2213.24, "end": 2213.7, "word": " شلة", "probability": 0.41656494140625}, {"start": 2213.7, "end": 2213.86, "word": " و", "probability": 0.9326171875}, {"start": 2213.86, "end": 2214.12, "word": " حط", "probability": 0.755615234375}, {"start": 2214.12, "end": 2214.54, "word": " بدلها", "probability": 0.6702473958333334}, {"start": 2214.54, "end": 2215.58, "word": " مين؟", "probability": 0.83740234375}, {"start": 2215.58, "end": 2216.5, "word": " EO6،", "probability": 0.41229248046875}, {"start": 2216.5, "end": 2216.9, "word": " قلنا", "probability": 0.71484375}, {"start": 2216.9, "end": 2217.14, "word": " له", "probability": 0.63427734375}, {"start": 2217.14, "end": 2217.48, "word": " والله", "probability": 0.6983642578125}, {"start": 2217.48, "end": 2218.02, "word": " كلامك", "probability": 0.9283854166666666}, {"start": 2218.02, "end": 2218.78, "word": " مظبوط،", "probability": 0.8339436848958334}, {"start": 2218.78, "end": 2219.26, "word": " و", "probability": 0.76416015625}, {"start": 2219.26, "end": 2219.68, "word": " أجي", "probability": 0.9005533854166666}, {"start": 2219.68, "end": 2220.44, "word": " للتانية", "probability": 0.826416015625}, {"start": 2220.44, "end": 2220.64, "word": " و", "probability": 0.96533203125}, {"start": 2220.64, "end": 2220.9, "word": " قال", "probability": 0.8203125}, {"start": 2220.9, "end": 2221.1, "word": " لي", "probability": 0.62841796875}, {"start": 2221.1, "end": 2221.56, "word": " لن", "probability": 0.3826904296875}, {"start": 2221.56, "end": 2222.24, "word": " هذي", "probability": 0.733154296875}, {"start": 2222.24, "end": 2222.9, "word": " EO", "probability": 0.88916015625}, {"start": 2222.9, "end": 2223.54, "word": " سالب", "probability": 0.7425944010416666}, {"start": 2223.54, "end": 2224.4, "word": " X،", "probability": 0.66162109375}, {"start": 2224.4, "end": 2224.66, "word": " و", "probability": 0.63037109375}, {"start": 2224.66, "end": 2224.96, "word": " بعد", "probability": 0.919921875}, {"start": 2224.96, "end": 2225.18, "word": " ذلك", "probability": 0.7215576171875}, {"start": 2225.18, "end": 2225.5, "word": " راح", "probability": 0.8330078125}, {"start": 2225.5, "end": 2226.14, "word": " أستخدم", "probability": 0.880126953125}, {"start": 2226.14, "end": 2227.2, "word": " صلاحيات", "probability": 0.9857421875}, {"start": 2227.2, "end": 2228.4, "word": " الـLin،", "probability": 0.83896484375}, {"start": 2228.4, "end": 2228.88, "word": " يبقى", "probability": 0.829833984375}, {"start": 2228.88, "end": 2229.24, "word": " هذي", "probability": 0.85546875}, {"start": 2229.24, "end": 2229.58, "word": " بيصير", "probability": 0.90771484375}, {"start": 2229.58, "end": 2230.12, "word": " X", "probability": 0.98486328125}, {"start": 2230.12, "end": 2230.44, "word": " في", "probability": 0.841796875}, {"start": 2230.44, "end": 2230.82, "word": " لن", "probability": 0.889404296875}, {"start": 2230.82, "end": 2232.04, "word": " الـE،", "probability": 0.7877197265625}, {"start": 2232.04, "end": 2232.28, "word": " طب", "probability": 0.92822265625}, {"start": 2232.28, "end": 2232.62, "word": " لن", "probability": 0.97802734375}, {"start": 2232.62, "end": 2232.92, "word": " الـE", "probability": 0.96044921875}, {"start": 2232.92, "end": 2233.9, "word": " بقداش؟", "probability": 0.74334716796875}], "temperature": 1.0}, {"id": 95, "seek": 225842, "start": 2234.1, "end": 2258.42, "text": "بواحد يبقى بدل ال X وهذه ناقص X في لن ال E اللي هي بواحد إلا لو هي طلعت جداش Zero زي اللي جابلها يبقى الحل الأول أو الحل الثاني كلاهما صحيح ولا اعتراب على أي منهما ولكن الخيار عادل تشوفه أسهلك امشي فيه", "tokens": [3555, 14407, 24401, 7251, 3555, 4587, 7578, 47525, 1211, 2423, 1783, 37037, 24192, 8717, 995, 4587, 9381, 1783, 8978, 5296, 1863, 2423, 462, 13672, 1829, 39896, 4724, 14407, 24401, 11933, 15040, 45164, 39896, 23032, 1211, 34268, 10874, 3215, 33599, 17182, 30767, 1829, 13672, 1829, 10874, 16758, 1211, 11296, 7251, 3555, 4587, 7578, 21542, 1211, 16247, 12610, 34051, 21542, 1211, 6024, 104, 7649, 1829, 9122, 15040, 3224, 15042, 20328, 5016, 1829, 5016, 49429, 1975, 34268, 2288, 16758, 15844, 36632, 9154, 3224, 15042, 35525, 19452, 33962, 1829, 9640, 6225, 18513, 1211, 6055, 8592, 38688, 3224, 5551, 3794, 3224, 23275, 1975, 2304, 8592, 1829, 8978, 3224], "avg_logprob": -0.21198918025654095, "compression_ratio": 1.7254901960784315, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2234.1, "end": 2234.72, "word": "بواحد", "probability": 0.7178548177083334}, {"start": 2234.72, "end": 2235.02, "word": " يبقى", "probability": 0.8634033203125}, {"start": 2235.02, "end": 2235.46, "word": " بدل", "probability": 0.63916015625}, {"start": 2235.46, "end": 2235.66, "word": " ال", "probability": 0.78564453125}, {"start": 2235.66, "end": 2235.94, "word": " X", "probability": 0.705078125}, {"start": 2235.94, "end": 2237.0, "word": " وهذه", "probability": 0.70263671875}, {"start": 2237.0, "end": 2237.88, "word": " ناقص", "probability": 0.824462890625}, {"start": 2237.88, "end": 2238.28, "word": " X", "probability": 0.97265625}, {"start": 2238.28, "end": 2238.52, "word": " في", "probability": 0.8125}, {"start": 2238.52, "end": 2238.82, "word": " لن", "probability": 0.6121826171875}, {"start": 2238.82, "end": 2239.06, "word": " ال", "probability": 0.3623046875}, {"start": 2239.06, "end": 2239.26, "word": " E", "probability": 0.72998046875}, {"start": 2239.26, "end": 2239.42, "word": " اللي", "probability": 0.6558837890625}, {"start": 2239.42, "end": 2239.6, "word": " هي", "probability": 0.81787109375}, {"start": 2239.6, "end": 2240.26, "word": " بواحد", "probability": 0.962890625}, {"start": 2240.26, "end": 2240.86, "word": " إلا", "probability": 0.5699462890625}, {"start": 2240.86, "end": 2241.06, "word": " لو", "probability": 0.80078125}, {"start": 2241.06, "end": 2241.22, "word": " هي", "probability": 0.56298828125}, {"start": 2241.22, "end": 2241.6, "word": " طلعت", "probability": 0.7918294270833334}, {"start": 2241.6, "end": 2242.36, "word": " جداش", "probability": 0.8507486979166666}, {"start": 2242.36, "end": 2243.48, "word": " Zero", "probability": 0.748046875}, {"start": 2243.48, "end": 2244.08, "word": " زي", "probability": 0.982421875}, {"start": 2244.08, "end": 2244.42, "word": " اللي", "probability": 0.969970703125}, {"start": 2244.42, "end": 2244.92, "word": " جابلها", "probability": 0.8048095703125}, {"start": 2244.92, "end": 2245.54, "word": " يبقى", "probability": 0.9630126953125}, {"start": 2245.54, "end": 2245.94, "word": " الحل", "probability": 0.971923828125}, {"start": 2245.94, "end": 2246.44, "word": " الأول", "probability": 0.979736328125}, {"start": 2246.44, "end": 2246.68, "word": " أو", "probability": 0.70556640625}, {"start": 2246.68, "end": 2247.12, "word": " الحل", "probability": 0.970703125}, {"start": 2247.12, "end": 2247.78, "word": " الثاني", "probability": 0.9638671875}, {"start": 2247.78, "end": 2248.9, "word": " كلاهما", "probability": 0.8775634765625}, {"start": 2248.9, "end": 2249.66, "word": " صحيح", "probability": 0.992431640625}, {"start": 2249.66, "end": 2250.38, "word": " ولا", "probability": 0.830078125}, {"start": 2250.38, "end": 2251.18, "word": " اعتراب", "probability": 0.9434814453125}, {"start": 2251.18, "end": 2251.58, "word": " على", "probability": 0.857421875}, {"start": 2251.58, "end": 2252.1, "word": " أي", "probability": 0.57666015625}, {"start": 2252.1, "end": 2253.36, "word": " منهما", "probability": 0.796630859375}, {"start": 2253.36, "end": 2254.86, "word": " ولكن", "probability": 0.88818359375}, {"start": 2254.86, "end": 2255.34, "word": " الخيار", "probability": 0.9816080729166666}, {"start": 2255.34, "end": 2255.74, "word": " عادل", "probability": 0.7571614583333334}, {"start": 2255.74, "end": 2256.26, "word": " تشوفه", "probability": 0.82452392578125}, {"start": 2256.26, "end": 2256.96, "word": " أسهلك", "probability": 0.8106689453125}, {"start": 2256.96, "end": 2258.1, "word": " امشي", "probability": 0.863525390625}, {"start": 2258.1, "end": 2258.42, "word": " فيه", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 96, "seek": 229069, "start": 2268.77, "end": 2290.69, "text": "طيب هذا كان المثال الثاني نذهب إلى المثال الثالث تلاتة find y' for each of the following بدنا مشتقة كل من الدوال التالية", "tokens": [9566, 1829, 3555, 23758, 25961, 9673, 12984, 6027, 6024, 104, 7649, 1829, 8717, 24192, 3555, 30731, 9673, 12984, 6027, 6024, 104, 6027, 12984, 6055, 1211, 9307, 3660, 915, 288, 6, 337, 1184, 295, 264, 3480, 47525, 8315, 37893, 2655, 28671, 28242, 9154, 32748, 2407, 6027, 16712, 6027, 10632], "avg_logprob": -0.18670281098813427, "compression_ratio": 1.4044117647058822, "no_speech_prob": 0.0, "words": [{"start": 2268.77, "end": 2270.17, "word": "طيب", "probability": 0.714599609375}, {"start": 2270.17, "end": 2270.51, "word": " هذا", "probability": 0.61376953125}, {"start": 2270.51, "end": 2270.89, "word": " كان", "probability": 0.9658203125}, {"start": 2270.89, "end": 2271.43, "word": " المثال", "probability": 0.97265625}, {"start": 2271.43, "end": 2272.05, "word": " الثاني", "probability": 0.936279296875}, {"start": 2272.05, "end": 2272.57, "word": " نذهب", "probability": 0.8932291666666666}, {"start": 2272.57, "end": 2272.77, "word": " إلى", "probability": 0.5810546875}, {"start": 2272.77, "end": 2273.47, "word": " المثال", "probability": 0.9903971354166666}, {"start": 2273.47, "end": 2274.37, "word": " الثالث", "probability": 0.96533203125}, {"start": 2274.37, "end": 2275.99, "word": " تلاتة", "probability": 0.868408203125}, {"start": 2275.99, "end": 2277.27, "word": " find", "probability": 0.548828125}, {"start": 2277.27, "end": 2278.85, "word": " y'", "probability": 0.6318359375}, {"start": 2279.39, "end": 2280.63, "word": " for", "probability": 0.76953125}, {"start": 2280.63, "end": 2281.89, "word": " each", "probability": 0.96728515625}, {"start": 2281.89, "end": 2282.95, "word": " of", "probability": 0.97998046875}, {"start": 2282.95, "end": 2283.91, "word": " the", "probability": 0.91162109375}, {"start": 2283.91, "end": 2284.87, "word": " following", "probability": 0.89013671875}, {"start": 2284.87, "end": 2287.59, "word": " بدنا", "probability": 0.6614990234375}, {"start": 2287.59, "end": 2288.21, "word": " مشتقة", "probability": 0.78271484375}, {"start": 2288.21, "end": 2288.55, "word": " كل", "probability": 0.986328125}, {"start": 2288.55, "end": 2288.81, "word": " من", "probability": 0.96533203125}, {"start": 2288.81, "end": 2289.63, "word": " الدوال", "probability": 0.9267578125}, {"start": 2289.63, "end": 2290.69, "word": " التالية", "probability": 0.9571940104166666}], "temperature": 1.0}, {"id": 97, "seek": 230342, "start": 2291.15, "end": 2303.43, "text": "Y تساوي اتنين جذر ال X في تانش لجذر ال X", "tokens": [56, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 2423, 1783, 8978, 6055, 7649, 8592, 5296, 7435, 8848, 2288, 2423, 1783], "avg_logprob": -0.2762499904632568, "compression_ratio": 1.0634920634920635, "no_speech_prob": 0.0, "words": [{"start": 2291.15, "end": 2292.01, "word": "Y", "probability": 0.21337890625}, {"start": 2292.01, "end": 2294.13, "word": " تساوي", "probability": 0.7154273986816406}, {"start": 2294.13, "end": 2295.73, "word": " اتنين", "probability": 0.783721923828125}, {"start": 2295.73, "end": 2296.95, "word": " جذر", "probability": 0.8907877604166666}, {"start": 2296.95, "end": 2297.27, "word": " ال", "probability": 0.734375}, {"start": 2297.27, "end": 2297.89, "word": " X", "probability": 0.85546875}, {"start": 2297.89, "end": 2298.61, "word": " في", "probability": 0.87060546875}, {"start": 2298.61, "end": 2300.15, "word": " تانش", "probability": 0.86279296875}, {"start": 2300.15, "end": 2302.81, "word": " لجذر", "probability": 0.980224609375}, {"start": 2302.81, "end": 2303.03, "word": " ال", "probability": 0.7255859375}, {"start": 2303.03, "end": 2303.43, "word": " X", "probability": 0.9873046875}], "temperature": 1.0}, {"id": 98, "seek": 232613, "start": 2312.01, "end": 2326.13, "text": "لو نظرت لي هذه الدالة بلاحظ ان هذه تعتبر دالة و هذه دالة اذا ان عندي مشتق تحاصل ضرب دلتين يبقى باجي بقوله ال Y' يسوى الدالة الأولى", "tokens": [1211, 2407, 8717, 19913, 43500, 32239, 29538, 32748, 6027, 3660, 4724, 15040, 5016, 19913, 16472, 29538, 6055, 34268, 26890, 11778, 6027, 3660, 4032, 29538, 11778, 6027, 3660, 1975, 15730, 16472, 18871, 16254, 37893, 2655, 4587, 6055, 5016, 33546, 1211, 48812, 25513, 11778, 1211, 2655, 9957, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 2423, 398, 6, 7251, 3794, 2407, 7578, 32748, 6027, 3660, 16247, 12610, 7578], "avg_logprob": -0.25951087474823, "compression_ratio": 1.6382978723404256, "no_speech_prob": 0.0, "words": [{"start": 2312.01, "end": 2312.37, "word": "لو", "probability": 0.818359375}, {"start": 2312.37, "end": 2312.85, "word": " نظرت", "probability": 0.9576822916666666}, {"start": 2312.85, "end": 2312.99, "word": " لي", "probability": 0.1983642578125}, {"start": 2312.99, "end": 2313.35, "word": " هذه", "probability": 0.87841796875}, {"start": 2313.35, "end": 2313.91, "word": " الدالة", "probability": 0.93798828125}, {"start": 2313.91, "end": 2314.79, "word": " بلاحظ", "probability": 0.898681640625}, {"start": 2314.79, "end": 2315.19, "word": " ان", "probability": 0.5703125}, {"start": 2315.19, "end": 2315.47, "word": " هذه", "probability": 0.28955078125}, {"start": 2315.47, "end": 2316.17, "word": " تعتبر", "probability": 0.9034830729166666}, {"start": 2316.17, "end": 2316.73, "word": " دالة", "probability": 0.9388020833333334}, {"start": 2316.73, "end": 2316.79, "word": " و", "probability": 0.74853515625}, {"start": 2316.79, "end": 2317.23, "word": " هذه", "probability": 0.86767578125}, {"start": 2317.23, "end": 2317.83, "word": " دالة", "probability": 0.8544921875}, {"start": 2317.83, "end": 2318.33, "word": " اذا", "probability": 0.6805419921875}, {"start": 2318.33, "end": 2318.51, "word": " ان", "probability": 0.288330078125}, {"start": 2318.51, "end": 2318.83, "word": " عندي", "probability": 0.84326171875}, {"start": 2318.83, "end": 2319.49, "word": " مشتق", "probability": 0.7734375}, {"start": 2319.49, "end": 2320.17, "word": " تحاصل", "probability": 0.8072509765625}, {"start": 2320.17, "end": 2320.61, "word": " ضرب", "probability": 0.982666015625}, {"start": 2320.61, "end": 2321.73, "word": " دلتين", "probability": 0.55810546875}, {"start": 2321.73, "end": 2322.11, "word": " يبقى", "probability": 0.94482421875}, {"start": 2322.11, "end": 2322.51, "word": " باجي", "probability": 0.9090169270833334}, {"start": 2322.51, "end": 2323.17, "word": " بقوله", "probability": 0.7903645833333334}, {"start": 2323.17, "end": 2323.35, "word": " ال", "probability": 0.7158203125}, {"start": 2323.35, "end": 2323.73, "word": " Y'", "probability": 0.53466796875}, {"start": 2324.27, "end": 2324.87, "word": " يسوى", "probability": 0.75341796875}, {"start": 2324.87, "end": 2325.59, "word": " الدالة", "probability": 0.9612630208333334}, {"start": 2325.59, "end": 2326.13, "word": " الأولى", "probability": 0.9339192708333334}], "temperature": 1.0}, {"id": 99, "seek": 235223, "start": 2327.04, "end": 2352.24, "text": "في مشتقة الدالة الثانية تفاضل التانش جدر six squared جدر ال X ضرب مشتقة من الجدر الزاوية مشتقة الجدر الواحد على اتنين الجدر يبقى هذا الأولى في مشتقة التانية زائد الدالة التانية اللي هي تانش", "tokens": [41185, 37893, 2655, 28671, 32748, 6027, 3660, 6024, 104, 7649, 10632, 6055, 5172, 46958, 1211, 16712, 7649, 8592, 10874, 3215, 2288, 2309, 8889, 10874, 3215, 2288, 2423, 1783, 48812, 25513, 37893, 2655, 28671, 9154, 25724, 3215, 2288, 6024, 110, 995, 2407, 10632, 37893, 2655, 28671, 25724, 3215, 2288, 2423, 14407, 24401, 15844, 1975, 2655, 1863, 9957, 25724, 3215, 2288, 7251, 3555, 4587, 7578, 23758, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 16712, 7649, 10632, 30767, 16373, 3215, 32748, 6027, 3660, 16712, 7649, 10632, 13672, 1829, 39896, 6055, 7649, 8592], "avg_logprob": -0.2190972215599484, "compression_ratio": 1.970414201183432, "no_speech_prob": 0.0, "words": [{"start": 2327.04, "end": 2327.28, "word": "في", "probability": 0.132080078125}, {"start": 2327.28, "end": 2328.14, "word": " مشتقة", "probability": 0.8795572916666666}, {"start": 2328.14, "end": 2328.9, "word": " الدالة", "probability": 0.9036458333333334}, {"start": 2328.9, "end": 2329.34, "word": " الثانية", "probability": 0.9296875}, {"start": 2329.34, "end": 2330.1, "word": " تفاضل", "probability": 0.8822021484375}, {"start": 2330.1, "end": 2331.04, "word": " التانش", "probability": 0.87060546875}, {"start": 2331.04, "end": 2331.66, "word": " جدر", "probability": 0.6617838541666666}, {"start": 2331.66, "end": 2332.8, "word": " six", "probability": 0.11517333984375}, {"start": 2332.8, "end": 2334.2, "word": " squared", "probability": 0.47998046875}, {"start": 2334.2, "end": 2335.52, "word": " جدر", "probability": 0.9423828125}, {"start": 2335.52, "end": 2335.78, "word": " ال", "probability": 0.91015625}, {"start": 2335.78, "end": 2336.32, "word": " X", "probability": 0.5859375}, {"start": 2336.32, "end": 2337.08, "word": " ضرب", "probability": 0.919921875}, {"start": 2337.08, "end": 2337.76, "word": " مشتقة", "probability": 0.9807942708333334}, {"start": 2337.76, "end": 2338.18, "word": " من", "probability": 0.62158203125}, {"start": 2338.18, "end": 2338.68, "word": " الجدر", "probability": 0.7386067708333334}, {"start": 2338.68, "end": 2339.56, "word": " الزاوية", "probability": 0.6693359375}, {"start": 2339.56, "end": 2340.3, "word": " مشتقة", "probability": 0.9391276041666666}, {"start": 2340.3, "end": 2340.88, "word": " الجدر", "probability": 0.9781901041666666}, {"start": 2340.88, "end": 2341.74, "word": " الواحد", "probability": 0.8748372395833334}, {"start": 2341.74, "end": 2342.14, "word": " على", "probability": 0.74267578125}, {"start": 2342.14, "end": 2342.92, "word": " اتنين", "probability": 0.9361572265625}, {"start": 2342.92, "end": 2343.88, "word": " الجدر", "probability": 0.96875}, {"start": 2343.88, "end": 2345.1, "word": " يبقى", "probability": 0.9681396484375}, {"start": 2345.1, "end": 2345.4, "word": " هذا", "probability": 0.92919921875}, {"start": 2345.4, "end": 2345.92, "word": " الأولى", "probability": 0.8522135416666666}, {"start": 2345.92, "end": 2346.06, "word": " في", "probability": 0.94873046875}, {"start": 2346.06, "end": 2346.76, "word": " مشتقة", "probability": 0.9734700520833334}, {"start": 2346.76, "end": 2347.4, "word": " التانية", "probability": 0.9152018229166666}, {"start": 2347.4, "end": 2348.46, "word": " زائد", "probability": 0.84326171875}, {"start": 2348.46, "end": 2349.94, "word": " الدالة", "probability": 0.97216796875}, {"start": 2349.94, "end": 2350.42, "word": " التانية", "probability": 0.9796549479166666}, {"start": 2350.42, "end": 2350.72, "word": " اللي", "probability": 0.5538330078125}, {"start": 2350.72, "end": 2351.04, "word": " هي", "probability": 0.794921875}, {"start": 2351.04, "end": 2352.24, "word": " تانش", "probability": 0.8119303385416666}], "temperature": 1.0}, {"id": 100, "seek": 236694, "start": 2354.01, "end": 2366.95, "text": "جذر ال X في مشتقة الأولى اتنين مالكش دعوة ومشتقة جذر ال X اللي هو جداش واحد على اتنين جذر ال X يساوي", "tokens": [7435, 8848, 2288, 2423, 1783, 8978, 37893, 2655, 28671, 16247, 12610, 7578, 1975, 2655, 1863, 9957, 3714, 6027, 4117, 8592, 11778, 3615, 2407, 3660, 4032, 2304, 8592, 2655, 28671, 10874, 8848, 2288, 2423, 1783, 13672, 1829, 31439, 10874, 3215, 33599, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 2423, 1783, 7251, 3794, 995, 45865], "avg_logprob": -0.19668311403508773, "compression_ratio": 1.6666666666666667, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2354.01, "end": 2354.67, "word": "جذر", "probability": 0.6859130859375}, {"start": 2354.67, "end": 2354.91, "word": " ال", "probability": 0.7900390625}, {"start": 2354.91, "end": 2355.37, "word": " X", "probability": 0.59033203125}, {"start": 2355.37, "end": 2355.87, "word": " في", "probability": 0.83349609375}, {"start": 2355.87, "end": 2356.69, "word": " مشتقة", "probability": 0.8470052083333334}, {"start": 2356.69, "end": 2357.19, "word": " الأولى", "probability": 0.7608235677083334}, {"start": 2357.19, "end": 2357.59, "word": " اتنين", "probability": 0.78277587890625}, {"start": 2357.59, "end": 2358.13, "word": " مالكش", "probability": 0.8226318359375}, {"start": 2358.13, "end": 2358.77, "word": " دعوة", "probability": 0.9779052734375}, {"start": 2358.77, "end": 2360.11, "word": " ومشتقة", "probability": 0.891796875}, {"start": 2360.11, "end": 2360.55, "word": " جذر", "probability": 0.9612630208333334}, {"start": 2360.55, "end": 2360.71, "word": " ال", "probability": 0.9228515625}, {"start": 2360.71, "end": 2360.95, "word": " X", "probability": 0.98193359375}, {"start": 2360.95, "end": 2361.11, "word": " اللي", "probability": 0.645263671875}, {"start": 2361.11, "end": 2361.25, "word": " هو", "probability": 0.96240234375}, {"start": 2361.25, "end": 2361.95, "word": " جداش", "probability": 0.69189453125}, {"start": 2361.95, "end": 2363.01, "word": " واحد", "probability": 0.88134765625}, {"start": 2363.01, "end": 2363.37, "word": " على", "probability": 0.64208984375}, {"start": 2363.37, "end": 2364.15, "word": " اتنين", "probability": 0.9796142578125}, {"start": 2364.15, "end": 2364.77, "word": " جذر", "probability": 0.9923502604166666}, {"start": 2364.77, "end": 2364.97, "word": " ال", "probability": 0.93603515625}, {"start": 2364.97, "end": 2365.45, "word": " X", "probability": 0.990234375}, {"start": 2365.45, "end": 2366.95, "word": " يساوي", "probability": 0.9449462890625}], "temperature": 1.0}, {"id": 101, "seek": 239727, "start": 2368.03, "end": 2397.27, "text": "عظم ان اتنين جذر ال X مع اتنين جذر ال X مع السلامة و اتنين هذه مع السلامة مع اتنين هذه يبقى آلة المسألة الى الشكل التالي سش Square لجذر ال X زائد تانش لجذر ال X كله مقسوما عالميا على جذر ال X النقطة الثانية من ال derivatives نمر اتنين", "tokens": [3615, 19913, 2304, 16472, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 2423, 1783, 20449, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 2423, 1783, 20449, 21136, 37440, 3660, 4032, 1975, 2655, 1863, 9957, 29538, 20449, 21136, 37440, 3660, 20449, 1975, 2655, 1863, 9957, 29538, 7251, 3555, 4587, 7578, 19753, 37977, 9673, 3794, 10721, 37977, 2423, 7578, 25124, 28820, 16712, 6027, 1829, 8608, 8592, 16463, 5296, 7435, 8848, 2288, 2423, 1783, 30767, 16373, 3215, 6055, 7649, 8592, 5296, 7435, 8848, 2288, 2423, 1783, 28242, 3224, 3714, 4587, 3794, 2407, 15042, 6225, 45340, 25528, 15844, 10874, 8848, 2288, 2423, 1783, 28239, 47432, 3660, 6024, 104, 7649, 10632, 9154, 2423, 33733, 8717, 29973, 1975, 2655, 1863, 9957], "avg_logprob": -0.165021928517442, "compression_ratio": 2.0412371134020617, "no_speech_prob": 0.0, "words": [{"start": 2368.03, "end": 2368.51, "word": "عظم", "probability": 0.642578125}, {"start": 2368.51, "end": 2368.69, "word": " ان", "probability": 0.250244140625}, {"start": 2368.69, "end": 2369.13, "word": " اتنين", "probability": 0.90234375}, {"start": 2369.13, "end": 2369.63, "word": " جذر", "probability": 0.9329427083333334}, {"start": 2369.63, "end": 2369.81, "word": " ال", "probability": 0.83154296875}, {"start": 2369.81, "end": 2370.11, "word": " X", "probability": 0.560546875}, {"start": 2370.11, "end": 2370.41, "word": " مع", "probability": 0.9560546875}, {"start": 2370.41, "end": 2370.87, "word": " اتنين", "probability": 0.977294921875}, {"start": 2370.87, "end": 2371.29, "word": " جذر", "probability": 0.990234375}, {"start": 2371.29, "end": 2371.43, "word": " ال", "probability": 0.84765625}, {"start": 2371.43, "end": 2371.61, "word": " X", "probability": 0.9853515625}, {"start": 2371.61, "end": 2371.89, "word": " مع", "probability": 0.90673828125}, {"start": 2371.89, "end": 2372.65, "word": " السلامة", "probability": 0.8668619791666666}, {"start": 2372.65, "end": 2373.43, "word": " و", "probability": 0.6884765625}, {"start": 2373.43, "end": 2374.17, "word": " اتنين", "probability": 0.86627197265625}, {"start": 2374.17, "end": 2374.63, "word": " هذه", "probability": 0.345947265625}, {"start": 2374.63, "end": 2374.95, "word": " مع", "probability": 0.9326171875}, {"start": 2374.95, "end": 2375.67, "word": " السلامة", "probability": 0.9791666666666666}, {"start": 2375.67, "end": 2375.89, "word": " مع", "probability": 0.947265625}, {"start": 2375.89, "end": 2376.43, "word": " اتنين", "probability": 0.981201171875}, {"start": 2376.43, "end": 2376.87, "word": " هذه", "probability": 0.89453125}, {"start": 2376.87, "end": 2377.43, "word": " يبقى", "probability": 0.9364013671875}, {"start": 2377.43, "end": 2377.87, "word": " آلة", "probability": 0.7021484375}, {"start": 2377.87, "end": 2378.53, "word": " المسألة", "probability": 0.9693603515625}, {"start": 2378.53, "end": 2378.81, "word": " الى", "probability": 0.6856689453125}, {"start": 2378.81, "end": 2379.47, "word": " الشكل", "probability": 0.899658203125}, {"start": 2379.47, "end": 2380.27, "word": " التالي", "probability": 0.9695638020833334}, {"start": 2380.27, "end": 2381.17, "word": " سش", "probability": 0.366455078125}, {"start": 2381.17, "end": 2381.77, "word": " Square", "probability": 0.374267578125}, {"start": 2381.77, "end": 2382.55, "word": " لجذر", "probability": 0.9794921875}, {"start": 2382.55, "end": 2382.79, "word": " ال", "probability": 0.900390625}, {"start": 2382.79, "end": 2383.15, "word": " X", "probability": 0.98046875}, {"start": 2383.15, "end": 2384.45, "word": " زائد", "probability": 0.8605143229166666}, {"start": 2384.45, "end": 2385.57, "word": " تانش", "probability": 0.8404947916666666}, {"start": 2385.57, "end": 2386.83, "word": " لجذر", "probability": 0.9913330078125}, {"start": 2386.83, "end": 2387.09, "word": " ال", "probability": 0.9287109375}, {"start": 2387.09, "end": 2387.51, "word": " X", "probability": 0.9892578125}, {"start": 2387.51, "end": 2388.15, "word": " كله", "probability": 0.945556640625}, {"start": 2388.15, "end": 2388.79, "word": " مقسوما", "probability": 0.814453125}, {"start": 2388.79, "end": 2389.51, "word": " عالميا", "probability": 0.812744140625}, {"start": 2389.51, "end": 2390.65, "word": " على", "probability": 0.81201171875}, {"start": 2390.65, "end": 2391.65, "word": " جذر", "probability": 0.9908854166666666}, {"start": 2391.65, "end": 2391.93, "word": " ال", "probability": 0.9111328125}, {"start": 2391.93, "end": 2392.51, "word": " X", "probability": 0.99072265625}, {"start": 2392.51, "end": 2394.31, "word": " النقطة", "probability": 0.9622395833333334}, {"start": 2394.31, "end": 2394.77, "word": " الثانية", "probability": 0.956787109375}, {"start": 2394.77, "end": 2395.07, "word": " من", "probability": 0.98681640625}, {"start": 2395.07, "end": 2395.23, "word": " ال", "probability": 0.91845703125}, {"start": 2395.23, "end": 2395.87, "word": " derivatives", "probability": 0.81005859375}, {"start": 2395.87, "end": 2396.59, "word": " نمر", "probability": 0.873779296875}, {"start": 2396.59, "end": 2397.27, "word": " اتنين", "probability": 0.908935546875}], "temperature": 1.0}, {"id": 102, "seek": 242127, "start": 2399.03, "end": 2421.27, "text": "بيقول لي Y تساوي لن سنش ال X لن سنش ال X زائد كساش لمين للن تلاتة X الشكل عنها بيبقى ال Y Prime تساوي", "tokens": [21292, 39648, 32239, 398, 6055, 3794, 995, 45865, 5296, 1863, 8608, 1863, 8592, 2423, 1783, 5296, 1863, 8608, 1863, 8592, 2423, 1783, 30767, 16373, 3215, 9122, 3794, 33599, 32767, 9957, 5296, 1211, 1863, 6055, 1211, 9307, 3660, 1783, 25124, 28820, 18871, 11296, 4724, 1829, 3555, 4587, 7578, 2423, 398, 9655, 6055, 3794, 995, 45865], "avg_logprob": -0.36477274027737705, "compression_ratio": 1.411764705882353, "no_speech_prob": 0.0, "words": [{"start": 2399.03, "end": 2399.59, "word": "بيقول", "probability": 0.522979736328125}, {"start": 2399.59, "end": 2399.79, "word": " لي", "probability": 0.43115234375}, {"start": 2399.79, "end": 2400.31, "word": " Y", "probability": 0.501953125}, {"start": 2400.31, "end": 2401.77, "word": " تساوي", "probability": 0.821044921875}, {"start": 2401.77, "end": 2403.39, "word": " لن", "probability": 0.631103515625}, {"start": 2403.39, "end": 2404.81, "word": " سنش", "probability": 0.5770263671875}, {"start": 2404.81, "end": 2405.19, "word": " ال", "probability": 0.413818359375}, {"start": 2405.19, "end": 2405.69, "word": " X", "probability": 0.8623046875}, {"start": 2405.69, "end": 2406.99, "word": " لن", "probability": 0.759033203125}, {"start": 2406.99, "end": 2407.47, "word": " سنش", "probability": 0.9788411458333334}, {"start": 2407.47, "end": 2407.71, "word": " ال", "probability": 0.86865234375}, {"start": 2407.71, "end": 2408.05, "word": " X", "probability": 0.9931640625}, {"start": 2408.05, "end": 2409.67, "word": " زائد", "probability": 0.8167317708333334}, {"start": 2409.67, "end": 2411.03, "word": " كساش", "probability": 0.693359375}, {"start": 2411.03, "end": 2412.43, "word": " لمين", "probability": 0.831787109375}, {"start": 2412.43, "end": 2413.67, "word": " للن", "probability": 0.7980143229166666}, {"start": 2413.67, "end": 2414.91, "word": " تلاتة", "probability": 0.911865234375}, {"start": 2414.91, "end": 2415.39, "word": " X", "probability": 0.9658203125}, {"start": 2415.39, "end": 2416.05, "word": " الشكل", "probability": 0.56072998046875}, {"start": 2416.05, "end": 2417.11, "word": " عنها", "probability": 0.4918212890625}, {"start": 2417.11, "end": 2419.49, "word": " بيبقى", "probability": 0.7560546875}, {"start": 2419.49, "end": 2419.63, "word": " ال", "probability": 0.66796875}, {"start": 2419.63, "end": 2420.01, "word": " Y", "probability": 0.96826171875}, {"start": 2420.01, "end": 2420.65, "word": " Prime", "probability": 0.21533203125}, {"start": 2420.65, "end": 2421.27, "word": " تساوي", "probability": 0.9512939453125}], "temperature": 1.0}, {"id": 103, "seek": 244277, "start": 2422.93, "end": 2442.77, "text": "طبعا واضح هذه function و هذه function و اتنين مجموعات مع بعض جامعة اذا احنا بدنا مشتقة المجموع الجبري لدالتين يبقى مشتقة الأولى زائد مشتقة الدالة الثانية", "tokens": [9566, 3555, 3615, 995, 4032, 46958, 5016, 29538, 2445, 4032, 29538, 2445, 4032, 1975, 2655, 1863, 9957, 3714, 7435, 2304, 45367, 9307, 20449, 45030, 11242, 10874, 10943, 27884, 1975, 15730, 1975, 5016, 8315, 47525, 8315, 37893, 2655, 28671, 9673, 7435, 2304, 45367, 25724, 3555, 16572, 5296, 3215, 6027, 2655, 9957, 7251, 3555, 4587, 7578, 37893, 2655, 28671, 16247, 12610, 7578, 30767, 16373, 3215, 37893, 2655, 28671, 32748, 6027, 3660, 6024, 104, 7649, 10632], "avg_logprob": -0.13788007078944026, "compression_ratio": 1.736842105263158, "no_speech_prob": 0.0, "words": [{"start": 2422.93, "end": 2423.37, "word": "طبعا", "probability": 0.84417724609375}, {"start": 2423.37, "end": 2423.73, "word": " واضح", "probability": 0.921875}, {"start": 2423.73, "end": 2423.97, "word": " هذه", "probability": 0.386474609375}, {"start": 2423.97, "end": 2424.57, "word": " function", "probability": 0.7314453125}, {"start": 2424.57, "end": 2425.13, "word": " و", "probability": 0.499267578125}, {"start": 2425.13, "end": 2425.31, "word": " هذه", "probability": 0.497314453125}, {"start": 2425.31, "end": 2425.97, "word": " function", "probability": 0.794921875}, {"start": 2425.97, "end": 2426.57, "word": " و", "probability": 0.8876953125}, {"start": 2426.57, "end": 2427.19, "word": " اتنين", "probability": 0.85791015625}, {"start": 2427.19, "end": 2428.23, "word": " مجموعات", "probability": 0.98603515625}, {"start": 2428.23, "end": 2428.45, "word": " مع", "probability": 0.97705078125}, {"start": 2428.45, "end": 2428.83, "word": " بعض", "probability": 0.994384765625}, {"start": 2428.83, "end": 2429.33, "word": " جامعة", "probability": 0.8028157552083334}, {"start": 2429.33, "end": 2430.17, "word": " اذا", "probability": 0.76123046875}, {"start": 2430.17, "end": 2430.83, "word": " احنا", "probability": 0.9695638020833334}, {"start": 2430.83, "end": 2431.37, "word": " بدنا", "probability": 0.938720703125}, {"start": 2431.37, "end": 2432.13, "word": " مشتقة", "probability": 0.9368489583333334}, {"start": 2432.13, "end": 2432.97, "word": " المجموع", "probability": 0.96337890625}, {"start": 2432.97, "end": 2433.75, "word": " الجبري", "probability": 0.8802083333333334}, {"start": 2433.75, "end": 2435.33, "word": " لدالتين", "probability": 0.97099609375}, {"start": 2435.33, "end": 2436.71, "word": " يبقى", "probability": 0.8760986328125}, {"start": 2436.71, "end": 2437.39, "word": " مشتقة", "probability": 0.9788411458333334}, {"start": 2437.39, "end": 2438.41, "word": " الأولى", "probability": 0.8177083333333334}, {"start": 2438.41, "end": 2439.35, "word": " زائد", "probability": 0.7733561197916666}, {"start": 2439.35, "end": 2440.13, "word": " مشتقة", "probability": 0.9845377604166666}, {"start": 2440.13, "end": 2441.21, "word": " الدالة", "probability": 0.9767252604166666}, {"start": 2441.21, "end": 2442.77, "word": " الثانية", "probability": 0.9661865234375}], "temperature": 1.0}, {"id": 104, "seek": 246108, "start": 2445.48, "end": 2461.08, "text": "مشتقة لن ال U بواحد على U يبقى واحد على سنش ال X في مين؟ في تفاضل السنش اللي هو بجوش يبقى جوش ال X زائد", "tokens": [2304, 8592, 2655, 28671, 5296, 1863, 2423, 624, 4724, 14407, 24401, 15844, 624, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 8608, 1863, 8592, 2423, 1783, 8978, 3714, 9957, 22807, 8978, 6055, 5172, 46958, 1211, 21136, 1863, 8592, 13672, 1829, 31439, 4724, 7435, 2407, 8592, 7251, 3555, 4587, 7578, 10874, 2407, 8592, 2423, 1783, 30767, 16373, 3215], "avg_logprob": -0.2136787217960023, "compression_ratio": 1.6388888888888888, "no_speech_prob": 0.0, "words": [{"start": 2445.48, "end": 2446.5, "word": "مشتقة", "probability": 0.6026611328125}, {"start": 2446.5, "end": 2447.04, "word": " لن", "probability": 0.713134765625}, {"start": 2447.04, "end": 2447.34, "word": " ال", "probability": 0.72900390625}, {"start": 2447.34, "end": 2447.86, "word": " U", "probability": 0.59033203125}, {"start": 2447.86, "end": 2449.02, "word": " بواحد", "probability": 0.859375}, {"start": 2449.02, "end": 2449.42, "word": " على", "probability": 0.60302734375}, {"start": 2449.42, "end": 2449.62, "word": " U", "probability": 0.72119140625}, {"start": 2449.62, "end": 2450.12, "word": " يبقى", "probability": 0.879150390625}, {"start": 2450.12, "end": 2450.7, "word": " واحد", "probability": 0.987060546875}, {"start": 2450.7, "end": 2451.2, "word": " على", "probability": 0.892578125}, {"start": 2451.2, "end": 2452.4, "word": " سنش", "probability": 0.9055989583333334}, {"start": 2452.4, "end": 2452.7, "word": " ال", "probability": 0.6875}, {"start": 2452.7, "end": 2453.26, "word": " X", "probability": 0.900390625}, {"start": 2453.26, "end": 2453.64, "word": " في", "probability": 0.88916015625}, {"start": 2453.64, "end": 2454.14, "word": " مين؟", "probability": 0.7216796875}, {"start": 2454.14, "end": 2455.04, "word": " في", "probability": 0.82080078125}, {"start": 2455.04, "end": 2455.82, "word": " تفاضل", "probability": 0.9874267578125}, {"start": 2455.82, "end": 2456.64, "word": " السنش", "probability": 0.9029947916666666}, {"start": 2456.64, "end": 2456.96, "word": " اللي", "probability": 0.869384765625}, {"start": 2456.96, "end": 2457.1, "word": " هو", "probability": 0.9892578125}, {"start": 2457.1, "end": 2457.72, "word": " بجوش", "probability": 0.7984619140625}, {"start": 2457.72, "end": 2458.9, "word": " يبقى", "probability": 0.8984375}, {"start": 2458.9, "end": 2459.38, "word": " جوش", "probability": 0.9747721354166666}, {"start": 2459.38, "end": 2459.64, "word": " ال", "probability": 0.77685546875}, {"start": 2459.64, "end": 2460.12, "word": " X", "probability": 0.98486328125}, {"start": 2460.12, "end": 2461.08, "word": " زائد", "probability": 0.79638671875}], "temperature": 1.0}, {"id": 105, "seek": 248750, "start": 2462.06, "end": 2487.5, "text": "الكسيش تفاضلها بالسالب سش تانش يبقى سالب سالب كسيش كتانش قصدي سالب كسيش اللي هو لن تلاتة اكس كتانش لمن للن تلاتة اكس لمشتقة من الزاوية يبقى هنا واحد", "tokens": [6027, 4117, 3794, 1829, 8592, 6055, 5172, 46958, 1211, 11296, 20666, 3794, 6027, 3555, 8608, 8592, 6055, 7649, 8592, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 8608, 6027, 3555, 9122, 3794, 1829, 8592, 9122, 2655, 7649, 8592, 12174, 9381, 16254, 8608, 6027, 3555, 9122, 3794, 1829, 8592, 13672, 1829, 31439, 5296, 1863, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 9122, 2655, 7649, 8592, 5296, 27842, 5296, 1211, 1863, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 32767, 8592, 2655, 28671, 9154, 6024, 110, 995, 2407, 10632, 7251, 3555, 4587, 7578, 34105, 36764, 24401], "avg_logprob": -0.2064852201810447, "compression_ratio": 2.0, "no_speech_prob": 0.0, "words": [{"start": 2462.06, "end": 2462.86, "word": "الكسيش", "probability": 0.65556640625}, {"start": 2462.86, "end": 2463.68, "word": " تفاضلها", "probability": 0.90234375}, {"start": 2463.68, "end": 2464.68, "word": " بالسالب", "probability": 0.620361328125}, {"start": 2464.68, "end": 2465.48, "word": " سش", "probability": 0.4676513671875}, {"start": 2465.48, "end": 2466.38, "word": " تانش", "probability": 0.8543294270833334}, {"start": 2466.38, "end": 2467.58, "word": " يبقى", "probability": 0.90478515625}, {"start": 2467.58, "end": 2468.32, "word": " سالب", "probability": 0.8889973958333334}, {"start": 2468.32, "end": 2469.38, "word": " سالب", "probability": 0.73974609375}, {"start": 2469.38, "end": 2469.84, "word": " كسيش", "probability": 0.92431640625}, {"start": 2469.84, "end": 2470.32, "word": " كتانش", "probability": 0.8385009765625}, {"start": 2470.32, "end": 2470.64, "word": " قصدي", "probability": 0.6258138020833334}, {"start": 2470.64, "end": 2471.7, "word": " سالب", "probability": 0.9033203125}, {"start": 2471.7, "end": 2473.06, "word": " كسيش", "probability": 0.968994140625}, {"start": 2473.06, "end": 2473.44, "word": " اللي", "probability": 0.920654296875}, {"start": 2473.44, "end": 2473.68, "word": " هو", "probability": 0.96240234375}, {"start": 2473.68, "end": 2474.38, "word": " لن", "probability": 0.56787109375}, {"start": 2474.38, "end": 2475.58, "word": " تلاتة", "probability": 0.94287109375}, {"start": 2475.58, "end": 2476.06, "word": " اكس", "probability": 0.7802734375}, {"start": 2476.06, "end": 2477.76, "word": " كتانش", "probability": 0.928955078125}, {"start": 2477.76, "end": 2478.74, "word": " لمن", "probability": 0.656982421875}, {"start": 2478.74, "end": 2479.76, "word": " للن", "probability": 0.7945963541666666}, {"start": 2479.76, "end": 2480.84, "word": " تلاتة", "probability": 0.984619140625}, {"start": 2480.84, "end": 2481.28, "word": " اكس", "probability": 0.97802734375}, {"start": 2481.28, "end": 2482.38, "word": " لمشتقة", "probability": 0.895751953125}, {"start": 2482.38, "end": 2482.96, "word": " من", "probability": 0.76025390625}, {"start": 2482.96, "end": 2484.6, "word": " الزاوية", "probability": 0.89658203125}, {"start": 2484.6, "end": 2485.6, "word": " يبقى", "probability": 0.981201171875}, {"start": 2485.6, "end": 2486.08, "word": " هنا", "probability": 0.97802734375}, {"start": 2486.08, "end": 2487.5, "word": " واحد", "probability": 0.986083984375}], "temperature": 1.0}, {"id": 106, "seek": 250396, "start": 2487.69, "end": 2503.97, "text": "على تلاتة X في جداش فيه تلاتة طبعا في اختصارات بنقدر نقول التلاتة هذه مع التلاتة هذه وبالتالي آلة المشتقة إلى الشكل التالي جوش على سنش", "tokens": [3615, 23942, 6055, 1211, 9307, 3660, 1783, 8978, 10874, 3215, 33599, 8978, 3224, 6055, 1211, 9307, 3660, 23032, 3555, 3615, 995, 8978, 1975, 46456, 9381, 9640, 9307, 44945, 28543, 2288, 8717, 39648, 16712, 1211, 9307, 3660, 29538, 20449, 16712, 1211, 9307, 3660, 29538, 46599, 6027, 2655, 6027, 1829, 19753, 37977, 9673, 8592, 2655, 28671, 30731, 25124, 28820, 16712, 6027, 1829, 10874, 2407, 8592, 15844, 8608, 1863, 8592], "avg_logprob": -0.14349723760696018, "compression_ratio": 1.7536231884057971, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 2487.69, "end": 2488.39, "word": "على", "probability": 0.786865234375}, {"start": 2488.39, "end": 2489.13, "word": " تلاتة", "probability": 0.9061279296875}, {"start": 2489.13, "end": 2489.43, "word": " X", "probability": 0.4931640625}, {"start": 2489.43, "end": 2489.65, "word": " في", "probability": 0.91357421875}, {"start": 2489.65, "end": 2490.31, "word": " جداش", "probability": 0.84521484375}, {"start": 2490.31, "end": 2491.07, "word": " فيه", "probability": 0.615966796875}, {"start": 2491.07, "end": 2491.67, "word": " تلاتة", "probability": 0.920654296875}, {"start": 2491.67, "end": 2492.69, "word": " طبعا", "probability": 0.8795166015625}, {"start": 2492.69, "end": 2492.87, "word": " في", "probability": 0.81201171875}, {"start": 2492.87, "end": 2493.69, "word": " اختصارات", "probability": 0.935546875}, {"start": 2493.69, "end": 2494.19, "word": " بنقدر", "probability": 0.8351236979166666}, {"start": 2494.19, "end": 2494.73, "word": " نقول", "probability": 0.93017578125}, {"start": 2494.73, "end": 2495.89, "word": " التلاتة", "probability": 0.9635009765625}, {"start": 2495.89, "end": 2496.15, "word": " هذه", "probability": 0.677734375}, {"start": 2496.15, "end": 2496.41, "word": " مع", "probability": 0.99267578125}, {"start": 2496.41, "end": 2497.21, "word": " التلاتة", "probability": 0.9825439453125}, {"start": 2497.21, "end": 2497.63, "word": " هذه", "probability": 0.798828125}, {"start": 2497.63, "end": 2498.83, "word": " وبالتالي", "probability": 0.909765625}, {"start": 2498.83, "end": 2499.47, "word": " آلة", "probability": 0.915283203125}, {"start": 2499.47, "end": 2500.49, "word": " المشتقة", "probability": 0.947998046875}, {"start": 2500.49, "end": 2500.83, "word": " إلى", "probability": 0.50390625}, {"start": 2500.83, "end": 2501.45, "word": " الشكل", "probability": 0.968505859375}, {"start": 2501.45, "end": 2502.11, "word": " التالي", "probability": 0.9392903645833334}, {"start": 2502.11, "end": 2502.95, "word": " جوش", "probability": 0.8042805989583334}, {"start": 2502.95, "end": 2503.23, "word": " على", "probability": 0.8994140625}, {"start": 2503.23, "end": 2503.97, "word": " سنش", "probability": 0.9073893229166666}], "temperature": 1.0}, {"id": 107, "seek": 253261, "start": 2504.47, "end": 2532.61, "text": "اللي هو potential X وهذه ناقص وهذا قصش لمين لين تلاتة X potential لين تلاتة X كله مقسوما على مين على X الشكل اللي عندها النقطة التالتة النقطة التالتة بيقول لي Y تساوي", "tokens": [6027, 20292, 31439, 3995, 1783, 37037, 24192, 8717, 995, 4587, 9381, 37037, 15730, 12174, 9381, 8592, 32767, 9957, 5296, 9957, 6055, 1211, 9307, 3660, 1783, 3995, 5296, 9957, 6055, 1211, 9307, 3660, 1783, 28242, 3224, 3714, 4587, 3794, 2407, 15042, 15844, 3714, 9957, 15844, 1783, 25124, 28820, 13672, 1829, 43242, 11296, 28239, 47432, 3660, 16712, 6027, 2655, 3660, 28239, 47432, 3660, 16712, 6027, 2655, 3660, 4724, 1829, 39648, 32239, 398, 6055, 3794, 995, 45865], "avg_logprob": -0.2775, "compression_ratio": 1.7643312101910829, "no_speech_prob": 0.0, "words": [{"start": 2504.47, "end": 2504.79, "word": "اللي", "probability": 0.2669677734375}, {"start": 2504.79, "end": 2504.97, "word": " هو", "probability": 0.93310546875}, {"start": 2504.97, "end": 2505.79, "word": " potential", "probability": 0.66357421875}, {"start": 2505.79, "end": 2506.63, "word": " X", "probability": 0.467529296875}, {"start": 2506.63, "end": 2507.57, "word": " وهذه", "probability": 0.5267333984375}, {"start": 2507.57, "end": 2508.61, "word": " ناقص", "probability": 0.9354248046875}, {"start": 2508.61, "end": 2509.63, "word": " وهذا", "probability": 0.82177734375}, {"start": 2509.63, "end": 2510.61, "word": " قصش", "probability": 0.43896484375}, {"start": 2510.61, "end": 2511.61, "word": " لمين", "probability": 0.61627197265625}, {"start": 2511.61, "end": 2512.27, "word": " لين", "probability": 0.584228515625}, {"start": 2512.27, "end": 2513.31, "word": " تلاتة", "probability": 0.929443359375}, {"start": 2513.31, "end": 2513.69, "word": " X", "probability": 0.80859375}, {"start": 2513.69, "end": 2514.77, "word": " potential", "probability": 0.47021484375}, {"start": 2514.77, "end": 2516.57, "word": " لين", "probability": 0.958251953125}, {"start": 2516.57, "end": 2517.57, "word": " تلاتة", "probability": 0.9814453125}, {"start": 2517.57, "end": 2518.01, "word": " X", "probability": 0.98876953125}, {"start": 2518.01, "end": 2518.81, "word": " كله", "probability": 0.9384765625}, {"start": 2518.81, "end": 2519.39, "word": " مقسوما", "probability": 0.801318359375}, {"start": 2519.39, "end": 2519.65, "word": " على", "probability": 0.7548828125}, {"start": 2519.65, "end": 2520.15, "word": " مين", "probability": 0.80615234375}, {"start": 2520.15, "end": 2521.17, "word": " على", "probability": 0.59716796875}, {"start": 2521.17, "end": 2521.73, "word": " X", "probability": 0.96142578125}, {"start": 2521.73, "end": 2522.37, "word": " الشكل", "probability": 0.902587890625}, {"start": 2522.37, "end": 2522.55, "word": " اللي", "probability": 0.966552734375}, {"start": 2522.55, "end": 2522.97, "word": " عندها", "probability": 0.76318359375}, {"start": 2522.97, "end": 2526.47, "word": " النقطة", "probability": 0.73876953125}, {"start": 2526.47, "end": 2528.01, "word": " التالتة", "probability": 0.9342041015625}, {"start": 2528.01, "end": 2529.99, "word": " النقطة", "probability": 0.8212890625}, {"start": 2529.99, "end": 2530.73, "word": " التالتة", "probability": 0.984130859375}, {"start": 2530.73, "end": 2531.19, "word": " بيقول", "probability": 0.94287109375}, {"start": 2531.19, "end": 2531.41, "word": " لي", "probability": 0.28759765625}, {"start": 2531.41, "end": 2531.75, "word": " Y", "probability": 0.82568359375}, {"start": 2531.75, "end": 2532.61, "word": " تساوي", "probability": 0.915771484375}], "temperature": 1.0}, {"id": 108, "seek": 254742, "start": 2535.69, "end": 2547.43, "text": "جوش أُس خمسة جوش الجدري التربيعي لإي أُس تلاتة إكس زائد اتنين", "tokens": [7435, 2407, 8592, 5551, 10859, 3794, 16490, 2304, 3794, 3660, 10874, 2407, 8592, 25724, 3215, 16572, 16712, 2288, 21292, 3615, 1829, 5296, 28814, 1829, 5551, 10859, 3794, 6055, 1211, 9307, 3660, 11933, 4117, 3794, 30767, 16373, 3215, 1975, 2655, 1863, 9957], "avg_logprob": -0.25613838859966825, "compression_ratio": 1.3058823529411765, "no_speech_prob": 0.0, "words": [{"start": 2535.69, "end": 2536.55, "word": "جوش", "probability": 0.6775716145833334}, {"start": 2536.55, "end": 2538.03, "word": " أُس", "probability": 0.708984375}, {"start": 2538.03, "end": 2539.59, "word": " خمسة", "probability": 0.90966796875}, {"start": 2539.59, "end": 2540.91, "word": " جوش", "probability": 0.558349609375}, {"start": 2540.91, "end": 2541.95, "word": " الجدري", "probability": 0.9064127604166666}, {"start": 2541.95, "end": 2543.15, "word": " التربيعي", "probability": 0.9220703125}, {"start": 2543.15, "end": 2544.49, "word": " لإي", "probability": 0.8567708333333334}, {"start": 2544.49, "end": 2544.91, "word": " أُس", "probability": 0.8463541666666666}, {"start": 2544.91, "end": 2545.59, "word": " تلاتة", "probability": 0.8876953125}, {"start": 2545.59, "end": 2546.09, "word": " إكس", "probability": 0.767822265625}, {"start": 2546.09, "end": 2546.81, "word": " زائد", "probability": 0.8125}, {"start": 2546.81, "end": 2547.43, "word": " اتنين", "probability": 0.8480224609375}], "temperature": 1.0}, {"id": 109, "seek": 257744, "start": 2552.58, "end": 2577.44, "text": "هذا كأنه قوس و القوس كل قوس كم؟ قوس خمسة يبقى من ال share rule قولنا القوس في القوس مرفوع لنفس القوس مطروح منه واحد في مشتقد ما داخل القوس يبقى ال wire prime تساوي القوس في القوش مرفوع لنفس القوس مطروح منه واحد", "tokens": [3224, 15730, 9122, 33456, 3224, 12174, 41779, 4032, 25062, 41779, 28242, 12174, 41779, 9122, 2304, 22807, 12174, 41779, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 9154, 2423, 2073, 4978, 12174, 12610, 8315, 25062, 41779, 8978, 25062, 41779, 3714, 28480, 45367, 5296, 1863, 36178, 25062, 41779, 3714, 9566, 32887, 5016, 9154, 3224, 36764, 24401, 8978, 37893, 2655, 28543, 19446, 11778, 47283, 1211, 25062, 41779, 7251, 3555, 4587, 7578, 2423, 6234, 5835, 6055, 3794, 995, 45865, 25062, 41779, 8978, 25062, 2407, 8592, 3714, 28480, 45367, 5296, 1863, 36178, 25062, 41779, 3714, 9566, 32887, 5016, 9154, 3224, 36764, 24401], "avg_logprob": -0.16980229774299932, "compression_ratio": 2.0751445086705202, "no_speech_prob": 0.0, "words": [{"start": 2552.58, "end": 2552.98, "word": "هذا", "probability": 0.70556640625}, {"start": 2552.98, "end": 2553.6, "word": " كأنه", "probability": 0.84716796875}, {"start": 2553.6, "end": 2554.16, "word": " قوس", "probability": 0.87744140625}, {"start": 2554.16, "end": 2554.58, "word": " و", "probability": 0.55859375}, {"start": 2554.58, "end": 2555.0, "word": " القوس", "probability": 0.57318115234375}, {"start": 2555.0, "end": 2555.28, "word": " كل", "probability": 0.8095703125}, {"start": 2555.28, "end": 2555.52, "word": " قوس", "probability": 0.97314453125}, {"start": 2555.52, "end": 2556.24, "word": " كم؟", "probability": 0.5830078125}, {"start": 2556.24, "end": 2556.74, "word": " قوس", "probability": 0.9326171875}, {"start": 2556.74, "end": 2557.36, "word": " خمسة", "probability": 0.90869140625}, {"start": 2557.36, "end": 2558.4, "word": " يبقى", "probability": 0.9415283203125}, {"start": 2558.4, "end": 2558.74, "word": " من", "probability": 0.9580078125}, {"start": 2558.74, "end": 2558.94, "word": " ال", "probability": 0.63232421875}, {"start": 2558.94, "end": 2559.26, "word": " share", "probability": 0.74462890625}, {"start": 2559.26, "end": 2559.72, "word": " rule", "probability": 0.86376953125}, {"start": 2559.72, "end": 2560.28, "word": " قولنا", "probability": 0.7161458333333334}, {"start": 2560.28, "end": 2560.88, "word": " القوس", "probability": 0.86083984375}, {"start": 2560.88, "end": 2561.22, "word": " في", "probability": 0.76708984375}, {"start": 2561.22, "end": 2561.74, "word": " القوس", "probability": 0.951171875}, {"start": 2561.74, "end": 2562.22, "word": " مرفوع", "probability": 0.9033203125}, {"start": 2562.22, "end": 2562.56, "word": " لنفس", "probability": 0.9303385416666666}, {"start": 2562.56, "end": 2562.92, "word": " القوس", "probability": 0.9345703125}, {"start": 2562.92, "end": 2563.36, "word": " مطروح", "probability": 0.9293212890625}, {"start": 2563.36, "end": 2563.62, "word": " منه", "probability": 0.70556640625}, {"start": 2563.62, "end": 2564.02, "word": " واحد", "probability": 0.984375}, {"start": 2564.02, "end": 2564.52, "word": " في", "probability": 0.84619140625}, {"start": 2564.52, "end": 2565.42, "word": " مشتقد", "probability": 0.6498209635416666}, {"start": 2565.42, "end": 2565.92, "word": " ما", "probability": 0.62841796875}, {"start": 2565.92, "end": 2566.52, "word": " داخل", "probability": 0.9488932291666666}, {"start": 2566.52, "end": 2567.06, "word": " القوس", "probability": 0.977783203125}, {"start": 2567.06, "end": 2568.02, "word": " يبقى", "probability": 0.9776611328125}, {"start": 2568.02, "end": 2568.14, "word": " ال", "probability": 0.9638671875}, {"start": 2568.14, "end": 2568.48, "word": " wire", "probability": 0.39208984375}, {"start": 2568.48, "end": 2569.2, "word": " prime", "probability": 0.77880859375}, {"start": 2569.2, "end": 2569.96, "word": " تساوي", "probability": 0.95166015625}, {"start": 2569.96, "end": 2570.9, "word": " القوس", "probability": 0.8427734375}, {"start": 2570.9, "end": 2572.08, "word": " في", "probability": 0.87451171875}, {"start": 2572.08, "end": 2572.88, "word": " القوش", "probability": 0.8917643229166666}, {"start": 2572.88, "end": 2574.0, "word": " مرفوع", "probability": 0.9768880208333334}, {"start": 2574.0, "end": 2574.44, "word": " لنفس", "probability": 0.9860026041666666}, {"start": 2574.44, "end": 2574.92, "word": " القوس", "probability": 0.954833984375}, {"start": 2574.92, "end": 2575.74, "word": " مطروح", "probability": 0.9779052734375}, {"start": 2575.74, "end": 2576.38, "word": " منه", "probability": 0.99462890625}, {"start": 2576.38, "end": 2577.44, "word": " واحد", "probability": 0.993896484375}], "temperature": 1.0}, {"id": 110, "seek": 260567, "start": 2579.6, "end": 2605.68, "text": "تمام؟ في مشتقة مداخل القوس مشتقة القوش الـ cinch يبقى هذا cinch من الجدر التربيع إلى E أس ثلاثة X زائد اتنين في مشتقة الجدر نفسه لسه قبل ما بدأ مشتقة الجدر بقى واحد على اتنين الجدر", "tokens": [39237, 10943, 22807, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 25062, 41779, 37893, 2655, 28671, 25062, 2407, 8592, 2423, 39184, 6539, 339, 7251, 3555, 4587, 7578, 23758, 6539, 339, 9154, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 30731, 462, 5551, 3794, 38637, 1211, 5718, 104, 3660, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 8978, 37893, 2655, 28671, 25724, 3215, 2288, 8717, 36178, 3224, 5296, 3794, 3224, 12174, 36150, 19446, 47525, 10721, 37893, 2655, 28671, 25724, 3215, 2288, 4724, 4587, 7578, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 25724, 3215, 2288], "avg_logprob": -0.24899194061115223, "compression_ratio": 1.813953488372093, "no_speech_prob": 0.0, "words": [{"start": 2579.6000000000004, "end": 2580.84, "word": "تمام؟", "probability": 0.5579630533854166}, {"start": 2580.84, "end": 2581.16, "word": " في", "probability": 0.751953125}, {"start": 2581.16, "end": 2582.08, "word": " مشتقة", "probability": 0.8631184895833334}, {"start": 2582.08, "end": 2583.08, "word": " مداخل", "probability": 0.93310546875}, {"start": 2583.08, "end": 2583.52, "word": " القوس", "probability": 0.6375732421875}, {"start": 2583.52, "end": 2584.14, "word": " مشتقة", "probability": 0.7858072916666666}, {"start": 2584.14, "end": 2584.98, "word": " القوش", "probability": 0.8846028645833334}, {"start": 2584.98, "end": 2586.26, "word": " الـ", "probability": 0.2813720703125}, {"start": 2586.26, "end": 2586.62, "word": " cinch", "probability": 0.62353515625}, {"start": 2586.62, "end": 2587.86, "word": " يبقى", "probability": 0.9586181640625}, {"start": 2587.86, "end": 2588.36, "word": " هذا", "probability": 0.875}, {"start": 2588.36, "end": 2589.46, "word": " cinch", "probability": 0.9326171875}, {"start": 2589.46, "end": 2590.2, "word": " من", "probability": 0.9521484375}, {"start": 2590.2, "end": 2591.1, "word": " الجدر", "probability": 0.9119466145833334}, {"start": 2591.1, "end": 2591.9, "word": " التربيع", "probability": 0.7886962890625}, {"start": 2591.9, "end": 2592.26, "word": " إلى", "probability": 0.65283203125}, {"start": 2592.26, "end": 2592.5, "word": " E", "probability": 0.491455078125}, {"start": 2592.5, "end": 2592.94, "word": " أس", "probability": 0.44970703125}, {"start": 2592.94, "end": 2593.62, "word": " ثلاثة", "probability": 0.88564453125}, {"start": 2593.62, "end": 2593.94, "word": " X", "probability": 0.80810546875}, {"start": 2593.94, "end": 2595.48, "word": " زائد", "probability": 0.9327799479166666}, {"start": 2595.48, "end": 2596.82, "word": " اتنين", "probability": 0.920166015625}, {"start": 2596.82, "end": 2597.24, "word": " في", "probability": 0.439208984375}, {"start": 2597.24, "end": 2598.16, "word": " مشتقة", "probability": 0.9729817708333334}, {"start": 2598.16, "end": 2599.7, "word": " الجدر", "probability": 0.98095703125}, {"start": 2599.7, "end": 2600.28, "word": " نفسه", "probability": 0.9977213541666666}, {"start": 2600.28, "end": 2601.04, "word": " لسه", "probability": 0.82177734375}, {"start": 2601.04, "end": 2601.48, "word": " قبل", "probability": 0.6602783203125}, {"start": 2601.48, "end": 2601.64, "word": " ما", "probability": 0.76171875}, {"start": 2601.64, "end": 2602.0, "word": " بدأ", "probability": 0.6021728515625}, {"start": 2602.0, "end": 2603.1, "word": " مشتقة", "probability": 0.8375651041666666}, {"start": 2603.1, "end": 2603.52, "word": " الجدر", "probability": 0.9884440104166666}, {"start": 2603.52, "end": 2603.76, "word": " بقى", "probability": 0.7275390625}, {"start": 2603.76, "end": 2604.16, "word": " واحد", "probability": 0.93505859375}, {"start": 2604.16, "end": 2604.4, "word": " على", "probability": 0.7978515625}, {"start": 2604.4, "end": 2604.88, "word": " اتنين", "probability": 0.975341796875}, {"start": 2604.88, "end": 2605.68, "word": " الجدر", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 111, "seek": 263500, "start": 2606.12, "end": 2635.0, "text": "يبقى واحد على اتنين الجذر التربيه الي E أس تلاتة X زائد اتنين الان في مشتقة مداخل الجذر مشتقة ال X بننشل بال X بننشل itself ضرب مشتقة الأس مشتقة اتنين F0 اختصارات الحمد لله لا يوجد فيها اي اختصار يبقى بنخليها زي ما هي", "tokens": [1829, 3555, 4587, 7578, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 25724, 8848, 2288, 16712, 2288, 21292, 3224, 45595, 462, 5551, 3794, 6055, 1211, 9307, 3660, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 2423, 7649, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 25724, 8848, 2288, 37893, 2655, 28671, 2423, 1783, 44945, 1863, 8592, 1211, 20666, 1783, 44945, 1863, 8592, 1211, 2564, 48812, 25513, 37893, 2655, 28671, 16247, 3794, 37893, 2655, 28671, 1975, 2655, 1863, 9957, 479, 15, 1975, 46456, 9381, 9640, 9307, 21542, 2304, 3215, 24976, 3224, 20193, 7251, 29245, 3215, 8978, 11296, 1975, 1829, 1975, 46456, 9381, 9640, 7251, 3555, 4587, 7578, 44945, 9778, 20292, 11296, 30767, 1829, 19446, 39896], "avg_logprob": -0.18585526315789475, "compression_ratio": 1.9285714285714286, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2606.12, "end": 2606.82, "word": "يبقى", "probability": 0.82257080078125}, {"start": 2606.82, "end": 2607.6, "word": " واحد", "probability": 0.56402587890625}, {"start": 2607.6, "end": 2608.38, "word": " على", "probability": 0.62841796875}, {"start": 2608.38, "end": 2609.08, "word": " اتنين", "probability": 0.959228515625}, {"start": 2609.08, "end": 2610.12, "word": " الجذر", "probability": 0.830078125}, {"start": 2610.12, "end": 2610.9, "word": " التربيه", "probability": 0.818359375}, {"start": 2610.9, "end": 2611.14, "word": " الي", "probability": 0.3203125}, {"start": 2611.14, "end": 2611.6, "word": " E", "probability": 0.486572265625}, {"start": 2611.6, "end": 2611.96, "word": " أس", "probability": 0.429931640625}, {"start": 2611.96, "end": 2612.7, "word": " تلاتة", "probability": 0.8294677734375}, {"start": 2612.7, "end": 2613.08, "word": " X", "probability": 0.8701171875}, {"start": 2613.08, "end": 2614.02, "word": " زائد", "probability": 0.94580078125}, {"start": 2614.02, "end": 2614.58, "word": " اتنين", "probability": 0.9793701171875}, {"start": 2614.58, "end": 2615.66, "word": " الان", "probability": 0.70751953125}, {"start": 2615.66, "end": 2615.94, "word": " في", "probability": 0.83447265625}, {"start": 2615.94, "end": 2616.62, "word": " مشتقة", "probability": 0.8837890625}, {"start": 2616.62, "end": 2617.66, "word": " مداخل", "probability": 0.8983154296875}, {"start": 2617.66, "end": 2618.5, "word": " الجذر", "probability": 0.9661458333333334}, {"start": 2618.5, "end": 2619.88, "word": " مشتقة", "probability": 0.94091796875}, {"start": 2619.88, "end": 2620.06, "word": " ال", "probability": 0.9248046875}, {"start": 2620.06, "end": 2620.26, "word": " X", "probability": 0.72314453125}, {"start": 2620.26, "end": 2621.1, "word": " بننشل", "probability": 0.7491455078125}, {"start": 2621.1, "end": 2621.36, "word": " بال", "probability": 0.9716796875}, {"start": 2621.36, "end": 2621.72, "word": " X", "probability": 0.7783203125}, {"start": 2621.72, "end": 2622.56, "word": " بننشل", "probability": 0.9310302734375}, {"start": 2622.56, "end": 2623.3, "word": " itself", "probability": 0.55419921875}, {"start": 2623.3, "end": 2624.06, "word": " ضرب", "probability": 0.966796875}, {"start": 2624.06, "end": 2624.82, "word": " مشتقة", "probability": 0.9796549479166666}, {"start": 2624.82, "end": 2625.36, "word": " الأس", "probability": 0.80078125}, {"start": 2625.36, "end": 2626.38, "word": " مشتقة", "probability": 0.8346354166666666}, {"start": 2626.38, "end": 2626.88, "word": " اتنين", "probability": 0.9801025390625}, {"start": 2626.88, "end": 2628.18, "word": " F0", "probability": 0.3770751953125}, {"start": 2628.18, "end": 2629.34, "word": " اختصارات", "probability": 0.9529296875}, {"start": 2629.34, "end": 2629.78, "word": " الحمد", "probability": 0.8597005208333334}, {"start": 2629.78, "end": 2630.2, "word": " لله", "probability": 0.885009765625}, {"start": 2630.2, "end": 2630.54, "word": " لا", "probability": 0.8232421875}, {"start": 2630.54, "end": 2631.48, "word": " يوجد", "probability": 0.859375}, {"start": 2631.48, "end": 2631.94, "word": " فيها", "probability": 0.97900390625}, {"start": 2631.94, "end": 2632.34, "word": " اي", "probability": 0.9482421875}, {"start": 2632.34, "end": 2633.08, "word": " اختصار", "probability": 0.99169921875}, {"start": 2633.08, "end": 2633.7, "word": " يبقى", "probability": 0.9512939453125}, {"start": 2633.7, "end": 2634.38, "word": " بنخليها", "probability": 0.8553466796875}, {"start": 2634.38, "end": 2634.64, "word": " زي", "probability": 0.96240234375}, {"start": 2634.64, "end": 2634.74, "word": " ما", "probability": 0.953125}, {"start": 2634.74, "end": 2635.0, "word": " هي", "probability": 0.92333984375}], "temperature": 1.0}, {"id": 112, "seek": 266278, "start": 2642.04, "end": 2662.78, "text": "Y تساوي سنش لمن؟ لتان ال X سنش لتان ال X زائد كتان inverse لمن؟ لسنش ال X", "tokens": [56, 6055, 3794, 995, 45865, 8608, 1863, 8592, 5296, 27842, 22807, 5296, 2655, 7649, 2423, 1783, 8608, 1863, 8592, 5296, 2655, 7649, 2423, 1783, 30767, 16373, 3215, 9122, 2655, 7649, 17340, 5296, 27842, 22807, 5296, 3794, 1863, 8592, 2423, 1783], "avg_logprob": -0.28296493902439024, "compression_ratio": 1.4936708860759493, "no_speech_prob": 0.0, "words": [{"start": 2642.04, "end": 2643.44, "word": "Y", "probability": 0.04254150390625}, {"start": 2643.44, "end": 2644.84, "word": " تساوي", "probability": 0.7262420654296875}, {"start": 2644.84, "end": 2647.32, "word": " سنش", "probability": 0.623291015625}, {"start": 2647.32, "end": 2649.64, "word": " لمن؟", "probability": 0.7207845052083334}, {"start": 2649.64, "end": 2651.44, "word": " لتان", "probability": 0.970703125}, {"start": 2651.44, "end": 2651.76, "word": " ال", "probability": 0.76806640625}, {"start": 2651.76, "end": 2652.4, "word": " X", "probability": 0.7841796875}, {"start": 2652.4, "end": 2653.56, "word": " سنش", "probability": 0.7529296875}, {"start": 2653.56, "end": 2654.2, "word": " لتان", "probability": 0.9967447916666666}, {"start": 2654.2, "end": 2654.42, "word": " ال", "probability": 0.95556640625}, {"start": 2654.42, "end": 2654.88, "word": " X", "probability": 0.998046875}, {"start": 2654.88, "end": 2656.36, "word": " زائد", "probability": 0.7539876302083334}, {"start": 2656.36, "end": 2657.74, "word": " كتان", "probability": 0.9715169270833334}, {"start": 2657.74, "end": 2659.0, "word": " inverse", "probability": 0.426025390625}, {"start": 2659.0, "end": 2660.84, "word": " لمن؟", "probability": 0.9055989583333334}, {"start": 2660.84, "end": 2662.0, "word": " لسنش", "probability": 0.9912109375}, {"start": 2662.0, "end": 2662.34, "word": " ال", "probability": 0.87646484375}, {"start": 2662.34, "end": 2662.78, "word": " X", "probability": 0.9970703125}], "temperature": 1.0}, {"id": 113, "seek": 269095, "start": 2666.01, "end": 2690.95, "text": "خلّي بالك معانا شايف كيف مكتوبة حرفيا رابط الدوال المثلثية مع الدوال الزائدية قصدينها متعمدين طبعا نهيك على أن هذه معرفة لأن السنش على كل ال real line و ال cotton inverse على كل ال real line", "tokens": [9778, 1211, 11703, 1829, 20666, 4117, 20449, 7649, 995, 13412, 995, 33911, 9122, 33911, 3714, 4117, 2655, 37746, 3660, 11331, 28480, 25528, 12602, 16758, 9566, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632, 20449, 32748, 2407, 6027, 6024, 110, 16373, 3215, 10632, 12174, 9381, 3215, 9957, 11296, 44650, 25957, 3215, 9957, 23032, 3555, 3615, 995, 8717, 3224, 1829, 4117, 15844, 14739, 29538, 20449, 28480, 3660, 5296, 33456, 21136, 1863, 8592, 15844, 28242, 2423, 957, 1622, 4032, 2423, 13764, 17340, 15844, 28242, 2423, 957, 1622], "avg_logprob": -0.2733455910402186, "compression_ratio": 1.7027027027027026, "no_speech_prob": 0.0, "words": [{"start": 2666.01, "end": 2666.41, "word": "خلّي", "probability": 0.838134765625}, {"start": 2666.41, "end": 2666.69, "word": " بالك", "probability": 0.926513671875}, {"start": 2666.69, "end": 2667.33, "word": " معانا", "probability": 0.7791341145833334}, {"start": 2667.33, "end": 2669.07, "word": " شايف", "probability": 0.5647379557291666}, {"start": 2669.07, "end": 2669.47, "word": " كيف", "probability": 0.5496826171875}, {"start": 2669.47, "end": 2670.33, "word": " مكتوبة", "probability": 0.9712890625}, {"start": 2670.33, "end": 2672.07, "word": " حرفيا", "probability": 0.7906901041666666}, {"start": 2672.07, "end": 2673.09, "word": " رابط", "probability": 0.7225748697916666}, {"start": 2673.09, "end": 2673.91, "word": " الدوال", "probability": 0.9012044270833334}, {"start": 2673.91, "end": 2674.91, "word": " المثلثية", "probability": 0.92890625}, {"start": 2674.91, "end": 2675.13, "word": " مع", "probability": 0.951171875}, {"start": 2675.13, "end": 2675.85, "word": " الدوال", "probability": 0.947265625}, {"start": 2675.85, "end": 2676.97, "word": " الزائدية", "probability": 0.92314453125}, {"start": 2676.97, "end": 2678.67, "word": " قصدينها", "probability": 0.91728515625}, {"start": 2678.67, "end": 2679.75, "word": " متعمدين", "probability": 0.9522705078125}, {"start": 2679.75, "end": 2681.63, "word": " طبعا", "probability": 0.8204345703125}, {"start": 2681.63, "end": 2682.35, "word": " نهيك", "probability": 0.69769287109375}, {"start": 2682.35, "end": 2682.57, "word": " على", "probability": 0.625}, {"start": 2682.57, "end": 2682.87, "word": " أن", "probability": 0.34912109375}, {"start": 2682.87, "end": 2683.51, "word": " هذه", "probability": 0.54248046875}, {"start": 2683.51, "end": 2684.45, "word": " معرفة", "probability": 0.93505859375}, {"start": 2684.45, "end": 2684.73, "word": " لأن", "probability": 0.830810546875}, {"start": 2684.73, "end": 2685.27, "word": " السنش", "probability": 0.6759440104166666}, {"start": 2685.27, "end": 2685.49, "word": " على", "probability": 0.9150390625}, {"start": 2685.49, "end": 2685.89, "word": " كل", "probability": 0.990234375}, {"start": 2685.89, "end": 2686.09, "word": " ال", "probability": 0.6767578125}, {"start": 2686.09, "end": 2686.35, "word": " real", "probability": 0.6611328125}, {"start": 2686.35, "end": 2686.97, "word": " line", "probability": 0.85498046875}, {"start": 2686.97, "end": 2687.65, "word": " و", "probability": 0.7900390625}, {"start": 2687.65, "end": 2687.91, "word": " ال", "probability": 0.490234375}, {"start": 2687.91, "end": 2688.33, "word": " cotton", "probability": 0.1624755859375}, {"start": 2688.33, "end": 2689.19, "word": " inverse", "probability": 0.85302734375}, {"start": 2689.19, "end": 2689.51, "word": " على", "probability": 0.888671875}, {"start": 2689.51, "end": 2689.95, "word": " كل", "probability": 0.9921875}, {"start": 2689.95, "end": 2690.23, "word": " ال", "probability": 0.7197265625}, {"start": 2690.23, "end": 2690.47, "word": " real", "probability": 0.931640625}, {"start": 2690.47, "end": 2690.95, "word": " line", "probability": 0.962890625}], "temperature": 1.0}, {"id": 114, "seek": 270951, "start": 2692.77, "end": 2709.51, "text": "متعملين وبالتالي ماعنا مشكلة في هذه الحالة يبقى Y' يساوي هذه كلها تعتبر كيانها زي الزاوية بالنسبة لمن؟ للسنش إذا انتفضل السنش بقداش؟ بجوش", "tokens": [2304, 2655, 25957, 1211, 9957, 46599, 6027, 2655, 6027, 1829, 19446, 3615, 8315, 37893, 28820, 3660, 8978, 29538, 21542, 6027, 3660, 7251, 3555, 4587, 7578, 398, 6, 7251, 3794, 995, 45865, 29538, 28242, 11296, 6055, 34268, 26890, 9122, 1829, 7649, 11296, 30767, 1829, 6024, 110, 995, 2407, 10632, 20666, 1863, 35457, 3660, 5296, 27842, 22807, 24976, 3794, 1863, 8592, 11933, 15730, 16472, 2655, 5172, 11242, 1211, 21136, 1863, 8592, 4724, 28543, 33599, 22807, 4724, 7435, 2407, 8592], "avg_logprob": -0.1785857339317982, "compression_ratio": 1.6064516129032258, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2692.77, "end": 2693.73, "word": "متعملين", "probability": 0.79931640625}, {"start": 2693.73, "end": 2694.35, "word": " وبالتالي", "probability": 0.9427734375}, {"start": 2694.35, "end": 2694.79, "word": " ماعنا", "probability": 0.8224283854166666}, {"start": 2694.79, "end": 2695.37, "word": " مشكلة", "probability": 0.9768880208333334}, {"start": 2695.37, "end": 2695.51, "word": " في", "probability": 0.9658203125}, {"start": 2695.51, "end": 2695.95, "word": " هذه", "probability": 0.97265625}, {"start": 2695.95, "end": 2697.19, "word": " الحالة", "probability": 0.9869791666666666}, {"start": 2697.19, "end": 2698.17, "word": " يبقى", "probability": 0.912841796875}, {"start": 2698.17, "end": 2698.47, "word": " Y'", "probability": 0.56884765625}, {"start": 2699.01, "end": 2699.77, "word": " يساوي", "probability": 0.8809814453125}, {"start": 2699.77, "end": 2700.83, "word": " هذه", "probability": 0.5966796875}, {"start": 2700.83, "end": 2701.43, "word": " كلها", "probability": 0.85888671875}, {"start": 2701.43, "end": 2702.05, "word": " تعتبر", "probability": 0.9654947916666666}, {"start": 2702.05, "end": 2702.65, "word": " كيانها", "probability": 0.868896484375}, {"start": 2702.65, "end": 2702.99, "word": " زي", "probability": 0.96826171875}, {"start": 2702.99, "end": 2703.45, "word": " الزاوية", "probability": 0.90927734375}, {"start": 2703.45, "end": 2703.99, "word": " بالنسبة", "probability": 0.9732666015625}, {"start": 2703.99, "end": 2704.67, "word": " لمن؟", "probability": 0.7980143229166666}, {"start": 2704.67, "end": 2705.71, "word": " للسنش", "probability": 0.753662109375}, {"start": 2705.71, "end": 2706.47, "word": " إذا", "probability": 0.728759765625}, {"start": 2706.47, "end": 2707.09, "word": " انتفضل", "probability": 0.838134765625}, {"start": 2707.09, "end": 2707.47, "word": " السنش", "probability": 0.9773763020833334}, {"start": 2707.47, "end": 2708.47, "word": " بقداش؟", "probability": 0.729736328125}, {"start": 2708.47, "end": 2709.51, "word": " بجوش", "probability": 0.7716064453125}], "temperature": 1.0}, {"id": 115, "seek": 273985, "start": 2710.53, "end": 2739.85, "text": "لتان ال X في تفاضل تان سك تربيع يبقى سك تربيع ال X دي بالك و احنا بمصحى في الامتحان الملاجئ كتير ال H هذي بتنتقل و انه كله على كيفك زي اللي بنتقل من زهرة الى زهرة النحل يعني انت مافيش انت جوش ممكن تبقى جوش يعني cosine cosine يبقى هذي لكن اتفرج بين الدوال الزائدية والدوال", "tokens": [1211, 2655, 7649, 2423, 1783, 8978, 6055, 5172, 46958, 1211, 6055, 7649, 8608, 4117, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 8608, 4117, 6055, 2288, 21292, 3615, 2423, 1783, 11778, 1829, 20666, 4117, 4032, 1975, 5016, 8315, 4724, 2304, 9381, 5016, 7578, 8978, 2423, 10943, 2655, 5016, 7649, 9673, 1211, 26108, 19986, 9122, 2655, 13546, 2423, 389, 8032, 8848, 1829, 39894, 29399, 4587, 1211, 4032, 16472, 3224, 28242, 3224, 15844, 9122, 33911, 4117, 30767, 1829, 13672, 1829, 4724, 29399, 4587, 1211, 9154, 30767, 3224, 25720, 2423, 7578, 30767, 3224, 25720, 28239, 5016, 1211, 37495, 22653, 16472, 2655, 19446, 41185, 8592, 16472, 2655, 10874, 2407, 8592, 3714, 43020, 6055, 3555, 4587, 7578, 10874, 2407, 8592, 37495, 22653, 23565, 23565, 7251, 3555, 4587, 7578, 8032, 8848, 1829, 44381, 1975, 2655, 5172, 47341, 49374, 32748, 2407, 6027, 6024, 110, 16373, 3215, 10632, 16070, 3215, 2407, 6027], "avg_logprob": -0.3127155303955078, "compression_ratio": 1.9583333333333333, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2710.5299999999997, "end": 2711.37, "word": "لتان", "probability": 0.57366943359375}, {"start": 2711.37, "end": 2711.67, "word": " ال", "probability": 0.77392578125}, {"start": 2711.67, "end": 2712.11, "word": " X", "probability": 0.69677734375}, {"start": 2712.11, "end": 2712.65, "word": " في", "probability": 0.68701171875}, {"start": 2712.65, "end": 2713.43, "word": " تفاضل", "probability": 0.9366455078125}, {"start": 2713.43, "end": 2714.77, "word": " تان", "probability": 0.76513671875}, {"start": 2714.77, "end": 2716.07, "word": " سك", "probability": 0.81591796875}, {"start": 2716.07, "end": 2716.61, "word": " تربيع", "probability": 0.6947021484375}, {"start": 2716.61, "end": 2717.93, "word": " يبقى", "probability": 0.9246826171875}, {"start": 2717.93, "end": 2718.69, "word": " سك", "probability": 0.936279296875}, {"start": 2718.69, "end": 2719.51, "word": " تربيع", "probability": 0.94775390625}, {"start": 2719.51, "end": 2719.67, "word": " ال", "probability": 0.415283203125}, {"start": 2719.67, "end": 2719.81, "word": " X", "probability": 0.9736328125}, {"start": 2719.81, "end": 2719.99, "word": " دي", "probability": 0.52734375}, {"start": 2719.99, "end": 2720.61, "word": " بالك", "probability": 0.57476806640625}, {"start": 2720.61, "end": 2721.11, "word": " و", "probability": 0.57275390625}, {"start": 2721.11, "end": 2721.31, "word": " احنا", "probability": 0.80126953125}, {"start": 2721.31, "end": 2721.85, "word": " بمصحى", "probability": 0.697021484375}, {"start": 2721.85, "end": 2722.01, "word": " في", "probability": 0.876953125}, {"start": 2722.01, "end": 2722.33, "word": " الامتحان", "probability": 0.738916015625}, {"start": 2722.33, "end": 2722.77, "word": " الملاجئ", "probability": 0.503082275390625}, {"start": 2722.77, "end": 2723.15, "word": " كتير", "probability": 0.9329427083333334}, {"start": 2723.15, "end": 2723.43, "word": " ال", "probability": 0.92236328125}, {"start": 2723.43, "end": 2723.73, "word": " H", "probability": 0.81494140625}, {"start": 2723.73, "end": 2724.15, "word": " هذي", "probability": 0.479736328125}, {"start": 2724.15, "end": 2725.41, "word": " بتنتقل", "probability": 0.9376220703125}, {"start": 2725.41, "end": 2725.51, "word": " و", "probability": 0.89599609375}, {"start": 2725.51, "end": 2725.73, "word": " انه", "probability": 0.78173828125}, {"start": 2725.73, "end": 2726.01, "word": " كله", "probability": 0.908203125}, {"start": 2726.01, "end": 2726.19, "word": " على", "probability": 0.8603515625}, {"start": 2726.19, "end": 2726.65, "word": " كيفك", "probability": 0.6771647135416666}, {"start": 2726.65, "end": 2726.91, "word": " زي", "probability": 0.5255126953125}, {"start": 2726.91, "end": 2728.13, "word": " اللي", "probability": 0.94775390625}, {"start": 2728.13, "end": 2728.65, "word": " بنتقل", "probability": 0.8748779296875}, {"start": 2728.65, "end": 2728.83, "word": " من", "probability": 0.99609375}, {"start": 2728.83, "end": 2729.21, "word": " زهرة", "probability": 0.9090169270833334}, {"start": 2729.21, "end": 2729.49, "word": " الى", "probability": 0.56787109375}, {"start": 2729.49, "end": 2729.79, "word": " زهرة", "probability": 0.9822591145833334}, {"start": 2729.79, "end": 2730.29, "word": " النحل", "probability": 0.88232421875}, {"start": 2730.29, "end": 2731.19, "word": " يعني", "probability": 0.822998046875}, {"start": 2731.19, "end": 2731.37, "word": " انت", "probability": 0.709716796875}, {"start": 2731.37, "end": 2732.17, "word": " مافيش", "probability": 0.8447265625}, {"start": 2732.17, "end": 2732.55, "word": " انت", "probability": 0.8916015625}, {"start": 2732.55, "end": 2732.97, "word": " جوش", "probability": 0.8400065104166666}, {"start": 2732.97, "end": 2733.17, "word": " ممكن", "probability": 0.3887939453125}, {"start": 2733.17, "end": 2733.39, "word": " تبقى", "probability": 0.89501953125}, {"start": 2733.39, "end": 2733.75, "word": " جوش", "probability": 0.8159993489583334}, {"start": 2733.75, "end": 2734.87, "word": " يعني", "probability": 0.845458984375}, {"start": 2734.87, "end": 2735.77, "word": " cosine", "probability": 0.302001953125}, {"start": 2735.77, "end": 2736.25, "word": " cosine", "probability": 0.281982421875}, {"start": 2736.25, "end": 2736.57, "word": " يبقى", "probability": 0.9835205078125}, {"start": 2736.57, "end": 2737.03, "word": " هذي", "probability": 0.7552083333333334}, {"start": 2737.03, "end": 2737.43, "word": " لكن", "probability": 0.68359375}, {"start": 2737.43, "end": 2737.83, "word": " اتفرج", "probability": 0.771728515625}, {"start": 2737.83, "end": 2738.13, "word": " بين", "probability": 0.552734375}, {"start": 2738.13, "end": 2738.55, "word": " الدوال", "probability": 0.8232421875}, {"start": 2738.55, "end": 2739.15, "word": " الزائدية", "probability": 0.803125}, {"start": 2739.15, "end": 2739.85, "word": " والدوال", "probability": 0.8753662109375}], "temperature": 1.0}, {"id": 116, "seek": 276610, "start": 2740.06, "end": 2766.1, "text": "المثلثية يبقى يخلصها من مشتقت الأولى ال quotient inverse مشتقتها بالناقص مظبوط quotient inverse بالزائد و quotient inverse بالسالب سالب واحد على واحد زائد سنش square X في تفاضل السنش اللي هو جداش بجوش ال X", "tokens": [45340, 12984, 1211, 12984, 10632, 7251, 3555, 4587, 7578, 7251, 9778, 1211, 9381, 11296, 9154, 37893, 2655, 38149, 16247, 12610, 7578, 2423, 9641, 1196, 17340, 37893, 2655, 38149, 11296, 20666, 8315, 4587, 9381, 3714, 19913, 3555, 2407, 9566, 9641, 1196, 17340, 20666, 11622, 16373, 3215, 4032, 9641, 1196, 17340, 20666, 3794, 6027, 3555, 8608, 6027, 3555, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 8608, 1863, 8592, 3732, 1783, 8978, 6055, 5172, 46958, 1211, 21136, 1863, 8592, 13672, 1829, 31439, 10874, 3215, 33599, 4724, 7435, 2407, 8592, 2423, 1783], "avg_logprob": -0.23715277281072406, "compression_ratio": 1.75, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2740.06, "end": 2741.98, "word": "المثلثية", "probability": 0.75888671875}, {"start": 2741.98, "end": 2742.78, "word": " يبقى", "probability": 0.8345947265625}, {"start": 2742.78, "end": 2743.34, "word": " يخلصها", "probability": 0.9095703125}, {"start": 2743.34, "end": 2743.46, "word": " من", "probability": 0.97998046875}, {"start": 2743.46, "end": 2744.1, "word": " مشتقت", "probability": 0.76611328125}, {"start": 2744.1, "end": 2745.14, "word": " الأولى", "probability": 0.81689453125}, {"start": 2745.14, "end": 2745.7, "word": " ال", "probability": 0.6552734375}, {"start": 2745.7, "end": 2746.32, "word": " quotient", "probability": 0.580810546875}, {"start": 2746.32, "end": 2746.76, "word": " inverse", "probability": 0.91357421875}, {"start": 2746.76, "end": 2747.7, "word": " مشتقتها", "probability": 0.956787109375}, {"start": 2747.7, "end": 2748.8, "word": " بالناقص", "probability": 0.91064453125}, {"start": 2748.8, "end": 2749.82, "word": " مظبوط", "probability": 0.7712158203125}, {"start": 2749.82, "end": 2751.02, "word": " quotient", "probability": 0.5977783203125}, {"start": 2751.02, "end": 2751.46, "word": " inverse", "probability": 0.8828125}, {"start": 2751.46, "end": 2752.16, "word": " بالزائد", "probability": 0.84429931640625}, {"start": 2752.16, "end": 2752.34, "word": " و", "probability": 0.365234375}, {"start": 2752.34, "end": 2752.82, "word": " quotient", "probability": 0.873046875}, {"start": 2752.82, "end": 2753.32, "word": " inverse", "probability": 0.90234375}, {"start": 2753.32, "end": 2754.1, "word": " بالسالب", "probability": 0.862548828125}, {"start": 2754.1, "end": 2755.18, "word": " سالب", "probability": 0.8767903645833334}, {"start": 2755.18, "end": 2756.16, "word": " واحد", "probability": 0.9765625}, {"start": 2756.16, "end": 2756.92, "word": " على", "probability": 0.78369140625}, {"start": 2756.92, "end": 2757.78, "word": " واحد", "probability": 0.983642578125}, {"start": 2757.78, "end": 2758.9, "word": " زائد", "probability": 0.95654296875}, {"start": 2758.9, "end": 2759.66, "word": " سنش", "probability": 0.6976725260416666}, {"start": 2759.66, "end": 2760.5, "word": " square", "probability": 0.77001953125}, {"start": 2760.5, "end": 2761.2, "word": " X", "probability": 0.5615234375}, {"start": 2761.2, "end": 2761.74, "word": " في", "probability": 0.8388671875}, {"start": 2761.74, "end": 2762.38, "word": " تفاضل", "probability": 0.968505859375}, {"start": 2762.38, "end": 2762.92, "word": " السنش", "probability": 0.94580078125}, {"start": 2762.92, "end": 2763.04, "word": " اللي", "probability": 0.656982421875}, {"start": 2763.04, "end": 2763.18, "word": " هو", "probability": 0.9873046875}, {"start": 2763.18, "end": 2764.0, "word": " جداش", "probability": 0.6729329427083334}, {"start": 2764.0, "end": 2765.32, "word": " بجوش", "probability": 0.93359375}, {"start": 2765.32, "end": 2765.62, "word": " ال", "probability": 0.77294921875}, {"start": 2765.62, "end": 2766.1, "word": " X", "probability": 0.93798828125}], "temperature": 1.0}, {"id": 117, "seek": 279279, "start": 2767.23, "end": 2792.79, "text": "يبقى الـ 10 inverse x سالب واحد على واحد زائد x تربية في مشتقة اللي هو ال .. اللي هي الجوش طيب الآن هذه عبارة عن جوش لمين لتاني ال x كله مضروب في سيك تربية ال x ناقص هذا ال term يا شباب موجدش", "tokens": [1829, 3555, 4587, 7578, 2423, 39184, 1266, 17340, 2031, 8608, 6027, 3555, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 2031, 6055, 25513, 10632, 8978, 37893, 2655, 28671, 13672, 1829, 31439, 2423, 4386, 13672, 1829, 39896, 25724, 2407, 8592, 23032, 1829, 3555, 6024, 48506, 29538, 6225, 3555, 9640, 3660, 18871, 10874, 2407, 8592, 32767, 9957, 5296, 2655, 7649, 1829, 2423, 2031, 28242, 3224, 3714, 11242, 32887, 3555, 8978, 8608, 1829, 4117, 6055, 25513, 10632, 2423, 2031, 8717, 995, 4587, 9381, 23758, 2423, 1433, 35186, 13412, 3555, 16758, 3714, 29245, 3215, 8592], "avg_logprob": -0.31046194907115854, "compression_ratio": 1.6528497409326426, "no_speech_prob": 0.0, "words": [{"start": 2767.23, "end": 2767.65, "word": "يبقى", "probability": 0.67193603515625}, {"start": 2767.65, "end": 2767.89, "word": " الـ", "probability": 0.3975830078125}, {"start": 2767.89, "end": 2768.31, "word": " 10", "probability": 0.1749267578125}, {"start": 2768.31, "end": 2768.93, "word": " inverse", "probability": 0.46240234375}, {"start": 2768.93, "end": 2769.51, "word": " x", "probability": 0.66845703125}, {"start": 2769.51, "end": 2770.35, "word": " سالب", "probability": 0.6809895833333334}, {"start": 2770.35, "end": 2770.81, "word": " واحد", "probability": 0.82958984375}, {"start": 2770.81, "end": 2771.23, "word": " على", "probability": 0.71826171875}, {"start": 2771.23, "end": 2772.09, "word": " واحد", "probability": 0.96484375}, {"start": 2772.09, "end": 2772.57, "word": " زائد", "probability": 0.9212239583333334}, {"start": 2772.57, "end": 2772.83, "word": " x", "probability": 0.83740234375}, {"start": 2772.83, "end": 2773.39, "word": " تربية", "probability": 0.8072916666666666}, {"start": 2773.39, "end": 2773.85, "word": " في", "probability": 0.7880859375}, {"start": 2773.85, "end": 2774.73, "word": " مشتقة", "probability": 0.6041666666666666}, {"start": 2774.73, "end": 2775.17, "word": " اللي", "probability": 0.723876953125}, {"start": 2775.17, "end": 2775.81, "word": " هو", "probability": 0.91455078125}, {"start": 2775.81, "end": 2776.07, "word": " ال", "probability": 0.7041015625}, {"start": 2776.07, "end": 2776.39, "word": " ..", "probability": 0.066650390625}, {"start": 2776.39, "end": 2776.89, "word": " اللي", "probability": 0.7237548828125}, {"start": 2776.89, "end": 2777.23, "word": " هي", "probability": 0.935546875}, {"start": 2777.23, "end": 2777.83, "word": " الجوش", "probability": 0.736572265625}, {"start": 2777.83, "end": 2779.89, "word": " طيب", "probability": 0.8115234375}, {"start": 2779.89, "end": 2780.69, "word": " الآن", "probability": 0.6656494140625}, {"start": 2780.69, "end": 2781.49, "word": " هذه", "probability": 0.61669921875}, {"start": 2781.49, "end": 2781.99, "word": " عبارة", "probability": 0.99169921875}, {"start": 2781.99, "end": 2782.39, "word": " عن", "probability": 0.998046875}, {"start": 2782.39, "end": 2783.41, "word": " جوش", "probability": 0.9801432291666666}, {"start": 2783.41, "end": 2784.63, "word": " لمين", "probability": 0.803466796875}, {"start": 2784.63, "end": 2785.87, "word": " لتاني", "probability": 0.910888671875}, {"start": 2785.87, "end": 2786.01, "word": " ال", "probability": 0.86669921875}, {"start": 2786.01, "end": 2786.41, "word": " x", "probability": 0.58447265625}, {"start": 2786.41, "end": 2787.37, "word": " كله", "probability": 0.9716796875}, {"start": 2787.37, "end": 2787.95, "word": " مضروب", "probability": 0.95068359375}, {"start": 2787.95, "end": 2788.13, "word": " في", "probability": 0.95751953125}, {"start": 2788.13, "end": 2788.53, "word": " سيك", "probability": 0.6514485677083334}, {"start": 2788.53, "end": 2789.03, "word": " تربية", "probability": 0.87109375}, {"start": 2789.03, "end": 2789.23, "word": " ال", "probability": 0.6982421875}, {"start": 2789.23, "end": 2789.43, "word": " x", "probability": 0.81787109375}, {"start": 2789.43, "end": 2790.13, "word": " ناقص", "probability": 0.9765625}, {"start": 2790.13, "end": 2790.95, "word": " هذا", "probability": 0.74072265625}, {"start": 2790.95, "end": 2791.19, "word": " ال", "probability": 0.5751953125}, {"start": 2791.19, "end": 2791.37, "word": " term", "probability": 0.3681640625}, {"start": 2791.37, "end": 2791.57, "word": " يا", "probability": 0.73486328125}, {"start": 2791.57, "end": 2791.79, "word": " شباب", "probability": 0.97216796875}, {"start": 2791.79, "end": 2792.79, "word": " موجدش", "probability": 0.62310791015625}], "temperature": 1.0}, {"id": 118, "seek": 281704, "start": 2794.38, "end": 2817.04, "text": "واحد زي .. مين اللي قال واحد؟ استعجل الزلمة يعني، ايوة يبقى إياك والاستعجال في التأمن السلامة وفي العجلة الندابة، مين اللي قال واحد توقفلي شوية انت؟ انت؟ طب بتقدر تجيبلي آية فيها شغلة على الاستعجال هيك من كتاب الله؟", "tokens": [14407, 24401, 30767, 1829, 4386, 3714, 9957, 13672, 1829, 50239, 36764, 24401, 22807, 44713, 3615, 7435, 1211, 6024, 110, 19528, 3660, 37495, 22653, 12399, 1975, 1829, 2407, 3660, 7251, 3555, 4587, 7578, 11933, 25528, 4117, 16070, 995, 14851, 3615, 7435, 6027, 8978, 16712, 10721, 27842, 21136, 37440, 3660, 4032, 41185, 18863, 7435, 37977, 28239, 3215, 16758, 3660, 12399, 3714, 9957, 13672, 1829, 50239, 36764, 24401, 6055, 30543, 5172, 20292, 13412, 2407, 10632, 16472, 2655, 22807, 16472, 2655, 22807, 23032, 3555, 39894, 28543, 2288, 6055, 7435, 1829, 3555, 20292, 19753, 10632, 8978, 11296, 13412, 17082, 37977, 15844, 42963, 14851, 3615, 7435, 6027, 39896, 4117, 9154, 9122, 2655, 16758, 21984, 22807], "avg_logprob": -0.20099431709809737, "compression_ratio": 1.9547738693467336, "no_speech_prob": 0.0, "words": [{"start": 2794.38, "end": 2794.94, "word": "واحد", "probability": 0.7220458984375}, {"start": 2794.94, "end": 2795.32, "word": " زي", "probability": 0.57177734375}, {"start": 2795.32, "end": 2795.56, "word": " ..", "probability": 0.455322265625}, {"start": 2795.56, "end": 2795.9, "word": " مين", "probability": 0.78564453125}, {"start": 2795.9, "end": 2796.1, "word": " اللي", "probability": 0.9853515625}, {"start": 2796.1, "end": 2796.28, "word": " قال", "probability": 0.6083984375}, {"start": 2796.28, "end": 2797.66, "word": " واحد؟", "probability": 0.9571940104166666}, {"start": 2797.66, "end": 2798.22, "word": " استعجل", "probability": 0.9249267578125}, {"start": 2798.22, "end": 2798.82, "word": " الزلمة", "probability": 0.8946533203125}, {"start": 2798.82, "end": 2800.02, "word": " يعني،", "probability": 0.6709798177083334}, {"start": 2800.02, "end": 2801.78, "word": " ايوة", "probability": 0.78033447265625}, {"start": 2801.78, "end": 2802.42, "word": " يبقى", "probability": 0.8724365234375}, {"start": 2802.42, "end": 2803.06, "word": " إياك", "probability": 0.8177897135416666}, {"start": 2803.06, "end": 2804.36, "word": " والاستعجال", "probability": 0.9173990885416666}, {"start": 2804.36, "end": 2804.6, "word": " في", "probability": 0.84619140625}, {"start": 2804.6, "end": 2805.16, "word": " التأمن", "probability": 0.94873046875}, {"start": 2805.16, "end": 2806.16, "word": " السلامة", "probability": 0.83642578125}, {"start": 2806.16, "end": 2806.78, "word": " وفي", "probability": 0.964599609375}, {"start": 2806.78, "end": 2807.44, "word": " العجلة", "probability": 0.9873046875}, {"start": 2807.44, "end": 2808.6, "word": " الندابة،", "probability": 0.675439453125}, {"start": 2808.6, "end": 2808.82, "word": " مين", "probability": 0.9599609375}, {"start": 2808.82, "end": 2809.02, "word": " اللي", "probability": 0.99169921875}, {"start": 2809.02, "end": 2809.16, "word": " قال", "probability": 0.9794921875}, {"start": 2809.16, "end": 2809.46, "word": " واحد", "probability": 0.98291015625}, {"start": 2809.46, "end": 2809.92, "word": " توقفلي", "probability": 0.5023193359375}, {"start": 2809.92, "end": 2810.18, "word": " شوية", "probability": 0.8387044270833334}, {"start": 2810.18, "end": 2810.86, "word": " انت؟", "probability": 0.7547200520833334}, {"start": 2810.86, "end": 2811.76, "word": " انت؟", "probability": 0.7552083333333334}, {"start": 2811.76, "end": 2812.16, "word": " طب", "probability": 0.837158203125}, {"start": 2812.16, "end": 2812.6, "word": " بتقدر", "probability": 0.8289388020833334}, {"start": 2812.6, "end": 2813.12, "word": " تجيبلي", "probability": 0.946484375}, {"start": 2813.12, "end": 2813.62, "word": " آية", "probability": 0.927734375}, {"start": 2813.62, "end": 2814.1, "word": " فيها", "probability": 0.978515625}, {"start": 2814.1, "end": 2814.66, "word": " شغلة", "probability": 0.8753255208333334}, {"start": 2814.66, "end": 2814.8, "word": " على", "probability": 0.59765625}, {"start": 2814.8, "end": 2815.48, "word": " الاستعجال", "probability": 0.9740234375}, {"start": 2815.48, "end": 2815.84, "word": " هيك", "probability": 0.837158203125}, {"start": 2815.84, "end": 2816.0, "word": " من", "probability": 0.9375}, {"start": 2816.0, "end": 2816.44, "word": " كتاب", "probability": 0.99560546875}, {"start": 2816.44, "end": 2817.04, "word": " الله؟", "probability": 0.973876953125}], "temperature": 1.0}, {"id": 119, "seek": 284323, "start": 2818.21, "end": 2843.23, "text": "بتقدر؟ بالمرة؟ طب لو غششتك الصورة، بتقدر تجيب الآية؟ صورة الإسراء اسمعك وين؟ ويدعو الإنسان بالشر دعاه بالخير وكان الإنسان عجولة، بيستعجل كتير، تمام؟ وهذا هو الذي حدث معاك", "tokens": [3555, 2655, 28543, 2288, 22807, 20666, 2304, 25720, 22807, 23032, 3555, 45164, 32771, 8592, 8592, 2655, 4117, 31767, 13063, 3660, 12399, 39894, 28543, 2288, 6055, 7435, 1829, 3555, 6024, 95, 10632, 22807, 20328, 13063, 3660, 33688, 3794, 2288, 16606, 24525, 2304, 3615, 4117, 4032, 9957, 22807, 4032, 25708, 3615, 2407, 33688, 1863, 3794, 7649, 20666, 46309, 11778, 3615, 40294, 20666, 9778, 13546, 4032, 41361, 33688, 1863, 3794, 7649, 6225, 7435, 12610, 3660, 12399, 4724, 1829, 14851, 3615, 7435, 1211, 9122, 2655, 13546, 12399, 46811, 10943, 22807, 37037, 15730, 31439, 43527, 11331, 3215, 12984, 20449, 995, 4117], "avg_logprob": -0.18669459254471296, "compression_ratio": 1.793103448275862, "no_speech_prob": 0.0, "words": [{"start": 2818.21, "end": 2819.17, "word": "بتقدر؟", "probability": 0.8388671875}, {"start": 2819.17, "end": 2821.11, "word": " بالمرة؟", "probability": 0.8533935546875}, {"start": 2821.11, "end": 2821.43, "word": " طب", "probability": 0.827392578125}, {"start": 2821.43, "end": 2821.63, "word": " لو", "probability": 0.97314453125}, {"start": 2821.63, "end": 2822.35, "word": " غششتك", "probability": 0.955078125}, {"start": 2822.35, "end": 2822.97, "word": " الصورة،", "probability": 0.8314208984375}, {"start": 2822.97, "end": 2823.35, "word": " بتقدر", "probability": 0.9630533854166666}, {"start": 2823.35, "end": 2823.73, "word": " تجيب", "probability": 0.9935302734375}, {"start": 2823.73, "end": 2825.99, "word": " الآية؟", "probability": 0.884521484375}, {"start": 2825.99, "end": 2826.79, "word": " صورة", "probability": 0.88623046875}, {"start": 2826.79, "end": 2827.93, "word": " الإسراء", "probability": 0.8629150390625}, {"start": 2827.93, "end": 2831.27, "word": " اسمعك", "probability": 0.66644287109375}, {"start": 2831.27, "end": 2831.57, "word": " وين؟", "probability": 0.5457356770833334}, {"start": 2831.57, "end": 2832.31, "word": " ويدعو", "probability": 0.825927734375}, {"start": 2832.31, "end": 2833.17, "word": " الإنسان", "probability": 0.99072265625}, {"start": 2833.17, "end": 2833.93, "word": " بالشر", "probability": 0.800048828125}, {"start": 2833.93, "end": 2835.43, "word": " دعاه", "probability": 0.6170247395833334}, {"start": 2835.43, "end": 2836.41, "word": " بالخير", "probability": 0.97314453125}, {"start": 2836.41, "end": 2837.07, "word": " وكان", "probability": 0.835205078125}, {"start": 2837.07, "end": 2838.19, "word": " الإنسان", "probability": 0.998291015625}, {"start": 2838.19, "end": 2839.39, "word": " عجولة،", "probability": 0.647314453125}, {"start": 2839.39, "end": 2839.95, "word": " بيستعجل", "probability": 0.8597819010416666}, {"start": 2839.95, "end": 2840.49, "word": " كتير،", "probability": 0.9210205078125}, {"start": 2840.49, "end": 2841.25, "word": " تمام؟", "probability": 0.9734700520833334}, {"start": 2841.25, "end": 2841.71, "word": " وهذا", "probability": 0.746826171875}, {"start": 2841.71, "end": 2841.95, "word": " هو", "probability": 0.98779296875}, {"start": 2841.95, "end": 2842.27, "word": " الذي", "probability": 0.494140625}, {"start": 2842.27, "end": 2842.71, "word": " حدث", "probability": 0.99609375}, {"start": 2842.71, "end": 2843.23, "word": " معاك", "probability": 0.8995768229166666}], "temperature": 1.0}, {"id": 120, "seek": 287327, "start": 2844.33, "end": 2873.27, "text": "يبقى واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة واطنة", "tokens": [1829, 3555, 4587, 7578, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660, 4032, 41193, 1863, 3660], "avg_logprob": -0.07263888994852702, "compression_ratio": 18.029411764705884, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2844.33, "end": 2844.81, "word": "يبقى", "probability": 0.707550048828125}, {"start": 2844.81, "end": 2845.45, "word": " واطنة", "probability": 0.484375}, {"start": 2845.45, "end": 2845.81, "word": " واطنة", "probability": 0.60491943359375}, {"start": 2845.81, "end": 2845.85, "word": " واطنة", "probability": 0.812255859375}, {"start": 2845.85, "end": 2845.85, "word": " واطنة", "probability": 0.8817138671875}, {"start": 2845.85, "end": 2845.85, "word": " واطنة", "probability": 0.9061279296875}, {"start": 2845.85, "end": 2845.85, "word": " واطنة", "probability": 0.9190673828125}, {"start": 2845.85, "end": 2845.85, "word": " واطنة", "probability": 0.93017578125}, {"start": 2845.85, "end": 2845.85, "word": " واطنة", "probability": 0.9349365234375}, {"start": 2845.85, "end": 2845.85, "word": " واطنة", "probability": 0.9307861328125}, {"start": 2845.85, "end": 2846.09, "word": " واطنة", "probability": 0.929443359375}, {"start": 2846.09, "end": 2846.09, "word": " واطنة", "probability": 0.93310546875}, {"start": 2846.09, "end": 2846.17, "word": " واطنة", "probability": 0.936767578125}, {"start": 2846.17, "end": 2846.17, "word": " واطنة", "probability": 0.9405517578125}, {"start": 2846.17, "end": 2847.15, "word": " واطنة", "probability": 0.9451904296875}, {"start": 2847.15, "end": 2847.19, "word": " واطنة", "probability": 0.950439453125}, {"start": 2847.19, "end": 2847.23, "word": " واطنة", "probability": 0.95556640625}, {"start": 2847.23, "end": 2847.23, "word": " واطنة", "probability": 0.9593505859375}, {"start": 2847.23, "end": 2847.53, "word": " واطنة", "probability": 0.963134765625}, {"start": 2847.53, "end": 2848.81, "word": " واطنة", "probability": 0.9658203125}, {"start": 2848.81, "end": 2848.97, "word": " واطنة", "probability": 0.9678955078125}, {"start": 2848.97, "end": 2849.49, "word": " واطنة", "probability": 0.9700927734375}, {"start": 2849.49, "end": 2849.57, "word": " واطنة", "probability": 0.9710693359375}, {"start": 2849.57, "end": 2849.89, "word": " واطنة", "probability": 0.97216796875}, {"start": 2849.89, "end": 2849.89, "word": " واطنة", "probability": 0.97412109375}, {"start": 2849.89, "end": 2849.89, "word": " واطنة", "probability": 0.97509765625}, {"start": 2849.89, "end": 2851.57, "word": " واطنة", "probability": 0.9757080078125}, {"start": 2851.57, "end": 2857.33, "word": " واطنة", "probability": 0.9766845703125}, {"start": 2857.33, "end": 2859.51, "word": " واطنة", "probability": 0.97802734375}, {"start": 2859.51, "end": 2859.51, "word": " واطنة", "probability": 0.9793701171875}, {"start": 2859.51, "end": 2859.51, "word": " واطنة", "probability": 0.9801025390625}, {"start": 2859.51, "end": 2859.55, "word": " واطنة", "probability": 0.981201171875}, {"start": 2859.55, "end": 2859.55, "word": " واطنة", "probability": 0.98193359375}, {"start": 2859.55, "end": 2859.55, "word": " واطنة", "probability": 0.983154296875}, {"start": 2859.55, "end": 2859.63, "word": " واطنة", "probability": 0.983642578125}, {"start": 2859.63, "end": 2859.63, "word": " واطنة", "probability": 0.984619140625}, {"start": 2859.63, "end": 2859.81, "word": " واطنة", "probability": 0.9854736328125}, {"start": 2859.81, "end": 2859.81, "word": " واطنة", "probability": 0.98583984375}, {"start": 2859.81, "end": 2861.59, "word": " واطنة", "probability": 0.9862060546875}, {"start": 2861.59, "end": 2861.79, "word": " واطنة", "probability": 0.9869384765625}, {"start": 2861.79, "end": 2861.79, "word": " واطنة", "probability": 0.9876708984375}, {"start": 2861.79, "end": 2861.79, "word": " واطنة", "probability": 0.98779296875}, {"start": 2861.79, "end": 2861.79, "word": " واطنة", "probability": 0.9881591796875}, {"start": 2861.79, "end": 2861.79, "word": " واطنة", "probability": 0.98828125}, {"start": 2861.79, "end": 2861.79, "word": " واطنة", "probability": 0.9888916015625}, {"start": 2861.79, "end": 2861.79, "word": " واطنة", "probability": 0.989013671875}, {"start": 2861.79, "end": 2861.79, "word": " واطنة", "probability": 0.989013671875}, {"start": 2861.79, "end": 2861.79, "word": " واطنة", "probability": 0.9893798828125}, {"start": 2861.79, "end": 2861.81, "word": " واطنة", "probability": 0.9898681640625}, {"start": 2861.81, "end": 2862.91, "word": " واطنة", "probability": 0.9901123046875}, {"start": 2862.91, "end": 2864.65, "word": " واطنة", "probability": 0.9903564453125}, {"start": 2864.65, "end": 2864.93, "word": " واطنة", "probability": 0.9903564453125}, {"start": 2864.93, "end": 2864.93, "word": " واطنة", "probability": 0.990478515625}, {"start": 2864.93, "end": 2864.95, "word": " واطنة", "probability": 0.99072265625}, {"start": 2864.95, "end": 2866.01, "word": " واطنة", "probability": 0.9908447265625}, {"start": 2866.01, "end": 2873.27, "word": " واطنة", "probability": 0.9923095703125}], "temperature": 1.0}, {"id": 121, "seek": 289796, "start": 2873.64, "end": 2897.96, "text": "لمن؟ لتان ال X في سك تربيع ال X ناقص سش ال X النقطة الخامسة النقطة الخامسة عندك Y تساوي جوش ال X", "tokens": [1211, 27842, 22807, 5296, 2655, 7649, 2423, 1783, 8978, 8608, 4117, 6055, 2288, 21292, 3615, 2423, 1783, 8717, 995, 4587, 9381, 8608, 8592, 2423, 1783, 28239, 47432, 3660, 33962, 10943, 3794, 3660, 28239, 47432, 3660, 33962, 10943, 3794, 3660, 43242, 4117, 398, 6055, 3794, 995, 45865, 10874, 2407, 8592, 2423, 1783], "avg_logprob": -0.15264422532457572, "compression_ratio": 1.6176470588235294, "no_speech_prob": 0.0, "words": [{"start": 2873.64, "end": 2874.62, "word": "لمن؟", "probability": 0.5603841145833334}, {"start": 2874.62, "end": 2875.72, "word": " لتان", "probability": 0.935546875}, {"start": 2875.72, "end": 2875.98, "word": " ال", "probability": 0.64013671875}, {"start": 2875.98, "end": 2876.48, "word": " X", "probability": 0.7021484375}, {"start": 2876.48, "end": 2879.34, "word": " في", "probability": 0.81005859375}, {"start": 2879.34, "end": 2879.92, "word": " سك", "probability": 0.806884765625}, {"start": 2879.92, "end": 2881.08, "word": " تربيع", "probability": 0.951904296875}, {"start": 2881.08, "end": 2881.26, "word": " ال", "probability": 0.7958984375}, {"start": 2881.26, "end": 2881.66, "word": " X", "probability": 0.990234375}, {"start": 2881.66, "end": 2882.98, "word": " ناقص", "probability": 0.9642333984375}, {"start": 2882.98, "end": 2883.7, "word": " سش", "probability": 0.898193359375}, {"start": 2883.7, "end": 2883.92, "word": " ال", "probability": 0.57861328125}, {"start": 2883.92, "end": 2884.22, "word": " X", "probability": 0.99462890625}, {"start": 2884.22, "end": 2886.4, "word": " النقطة", "probability": 0.7255045572916666}, {"start": 2886.4, "end": 2888.04, "word": " الخامسة", "probability": 0.989013671875}, {"start": 2888.04, "end": 2891.38, "word": " النقطة", "probability": 0.85302734375}, {"start": 2891.38, "end": 2892.6, "word": " الخامسة", "probability": 0.97998046875}, {"start": 2892.6, "end": 2893.52, "word": " عندك", "probability": 0.984375}, {"start": 2893.52, "end": 2894.24, "word": " Y", "probability": 0.9638671875}, {"start": 2894.24, "end": 2895.22, "word": " تساوي", "probability": 0.9337158203125}, {"start": 2895.22, "end": 2897.14, "word": " جوش", "probability": 0.8299153645833334}, {"start": 2897.14, "end": 2897.44, "word": " ال", "probability": 0.90771484375}, {"start": 2897.44, "end": 2897.96, "word": " X", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 122, "seek": 291500, "start": 2913.32, "end": 2915.0, "text": "واضح ان هذه عبارة عن اياش", "tokens": [2407, 46958, 5016, 16472, 29538, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 33599], "avg_logprob": -0.48381695577076506, "compression_ratio": 0.9, "no_speech_prob": 0.0, "words": [{"start": 2913.32, "end": 2913.86, "word": "واضح", "probability": 0.8043619791666666}, {"start": 2913.86, "end": 2914.02, "word": " ان", "probability": 0.7314453125}, {"start": 2914.02, "end": 2914.24, "word": " هذه", "probability": 0.2529296875}, {"start": 2914.24, "end": 2914.56, "word": " عبارة", "probability": 0.770751953125}, {"start": 2914.56, "end": 2914.64, "word": " عن", "probability": 0.9833984375}, {"start": 2914.64, "end": 2915.0, "word": " اياش", "probability": 0.4619954427083333}], "temperature": 1.0}, {"id": 123, "seek": 293872, "start": 2915.9, "end": 2938.72, "text": "وهذه عبارة عن function تانية إذاً هذه مشتقة حاصل ضرب دالتين بدنا نرجع إلى مشتقة حاصل ضرب دالتين اللي هو الأولى في مشتقة الثانية زائد الثانية في مشتقة الأولى يبقى هاي Y يساوي جوش ال X اللي هو الأولى", "tokens": [2407, 3224, 24192, 6225, 3555, 9640, 3660, 18871, 2445, 6055, 7649, 10632, 11933, 15730, 14111, 29538, 37893, 2655, 28671, 11331, 33546, 1211, 48812, 25513, 11778, 6027, 2655, 9957, 47525, 8315, 8717, 47341, 3615, 30731, 37893, 2655, 28671, 11331, 33546, 1211, 48812, 25513, 11778, 6027, 2655, 9957, 13672, 1829, 31439, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 6024, 104, 7649, 10632, 30767, 16373, 3215, 6024, 104, 7649, 10632, 8978, 37893, 2655, 28671, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 8032, 47302, 398, 7251, 3794, 995, 45865, 10874, 2407, 8592, 2423, 1783, 13672, 1829, 31439, 16247, 12610, 7578], "avg_logprob": -0.1920103141941975, "compression_ratio": 2.0233918128654973, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2915.9, "end": 2916.5, "word": "وهذه", "probability": 0.5614420572916666}, {"start": 2916.5, "end": 2916.86, "word": " عبارة", "probability": 0.8199462890625}, {"start": 2916.86, "end": 2917.06, "word": " عن", "probability": 0.99755859375}, {"start": 2917.06, "end": 2917.44, "word": " function", "probability": 0.76513671875}, {"start": 2917.44, "end": 2917.94, "word": " تانية", "probability": 0.9095052083333334}, {"start": 2917.94, "end": 2918.32, "word": " إذاً", "probability": 0.4474690755208333}, {"start": 2918.32, "end": 2918.52, "word": " هذه", "probability": 0.5556640625}, {"start": 2918.52, "end": 2919.1, "word": " مشتقة", "probability": 0.8694661458333334}, {"start": 2919.1, "end": 2919.68, "word": " حاصل", "probability": 0.9401041666666666}, {"start": 2919.68, "end": 2920.14, "word": " ضرب", "probability": 0.9814453125}, {"start": 2920.14, "end": 2921.58, "word": " دالتين", "probability": 0.837158203125}, {"start": 2921.58, "end": 2921.98, "word": " بدنا", "probability": 0.861328125}, {"start": 2921.98, "end": 2922.68, "word": " نرجع", "probability": 0.9718424479166666}, {"start": 2922.68, "end": 2923.02, "word": " إلى", "probability": 0.6162109375}, {"start": 2923.02, "end": 2923.72, "word": " مشتقة", "probability": 0.9694010416666666}, {"start": 2923.72, "end": 2924.34, "word": " حاصل", "probability": 0.9934895833333334}, {"start": 2924.34, "end": 2924.68, "word": " ضرب", "probability": 0.9970703125}, {"start": 2924.68, "end": 2925.6, "word": " دالتين", "probability": 0.989013671875}, {"start": 2925.6, "end": 2926.38, "word": " اللي", "probability": 0.90869140625}, {"start": 2926.38, "end": 2926.52, "word": " هو", "probability": 0.9833984375}, {"start": 2926.52, "end": 2927.02, "word": " الأولى", "probability": 0.9567057291666666}, {"start": 2927.02, "end": 2927.16, "word": " في", "probability": 0.9267578125}, {"start": 2927.16, "end": 2927.88, "word": " مشتقة", "probability": 0.9747721354166666}, {"start": 2927.88, "end": 2928.84, "word": " الثانية", "probability": 0.9671630859375}, {"start": 2928.84, "end": 2929.94, "word": " زائد", "probability": 0.869140625}, {"start": 2929.94, "end": 2930.6, "word": " الثانية", "probability": 0.9788818359375}, {"start": 2930.6, "end": 2930.84, "word": " في", "probability": 0.986328125}, {"start": 2930.84, "end": 2931.84, "word": " مشتقة", "probability": 0.9773763020833334}, {"start": 2931.84, "end": 2933.56, "word": " الأولى", "probability": 0.9371744791666666}, {"start": 2933.56, "end": 2934.44, "word": " يبقى", "probability": 0.952392578125}, {"start": 2934.44, "end": 2934.72, "word": " هاي", "probability": 0.446044921875}, {"start": 2934.72, "end": 2935.18, "word": " Y", "probability": 0.430419921875}, {"start": 2935.18, "end": 2936.6, "word": " يساوي", "probability": 0.745330810546875}, {"start": 2936.6, "end": 2937.24, "word": " جوش", "probability": 0.721923828125}, {"start": 2937.24, "end": 2937.46, "word": " ال", "probability": 0.529296875}, {"start": 2937.46, "end": 2937.8, "word": " X", "probability": 0.927734375}, {"start": 2937.8, "end": 2938.06, "word": " اللي", "probability": 0.874267578125}, {"start": 2938.06, "end": 2938.2, "word": " هو", "probability": 0.99169921875}, {"start": 2938.2, "end": 2938.72, "word": " الأولى", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 124, "seek": 295284, "start": 2939.4, "end": 2952.84, "text": "مشتقة 10 inverse هو 1 على 1 زائد sinh square x في مشتقة ال sinh اللي هو main بقاش ال x هذه لسه الأولى في مشتقة main", "tokens": [2304, 8592, 2655, 28671, 1266, 17340, 31439, 502, 15844, 502, 30767, 16373, 3215, 3343, 71, 3732, 2031, 8978, 37893, 2655, 28671, 2423, 3343, 71, 13672, 1829, 31439, 2135, 4724, 4587, 33599, 2423, 2031, 29538, 5296, 3794, 3224, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 2135], "avg_logprob": -0.4008152044337729, "compression_ratio": 1.3203125, "no_speech_prob": 0.0, "words": [{"start": 2939.4, "end": 2940.2, "word": "مشتقة", "probability": 0.7923583984375}, {"start": 2940.2, "end": 2940.66, "word": " 10", "probability": 0.51611328125}, {"start": 2940.66, "end": 2941.34, "word": " inverse", "probability": 0.630859375}, {"start": 2941.34, "end": 2941.74, "word": " هو", "probability": 0.07354736328125}, {"start": 2941.74, "end": 2942.32, "word": " 1", "probability": 0.6953125}, {"start": 2942.32, "end": 2942.72, "word": " على", "probability": 0.50732421875}, {"start": 2942.72, "end": 2943.16, "word": " 1", "probability": 0.96337890625}, {"start": 2943.16, "end": 2943.78, "word": " زائد", "probability": 0.7698567708333334}, {"start": 2943.78, "end": 2944.36, "word": " sinh", "probability": 0.37060546875}, {"start": 2944.36, "end": 2944.94, "word": " square", "probability": 0.483154296875}, {"start": 2944.94, "end": 2945.54, "word": " x", "probability": 0.6572265625}, {"start": 2945.54, "end": 2946.04, "word": " في", "probability": 0.69775390625}, {"start": 2946.04, "end": 2946.72, "word": " مشتقة", "probability": 0.9140625}, {"start": 2946.72, "end": 2946.92, "word": " ال", "probability": 0.37646484375}, {"start": 2946.92, "end": 2947.24, "word": " sinh", "probability": 0.776123046875}, {"start": 2947.24, "end": 2947.34, "word": " اللي", "probability": 0.49920654296875}, {"start": 2947.34, "end": 2947.52, "word": " هو", "probability": 0.94921875}, {"start": 2947.52, "end": 2947.94, "word": " main", "probability": 0.6484375}, {"start": 2947.94, "end": 2949.46, "word": " بقاش", "probability": 0.6109212239583334}, {"start": 2949.46, "end": 2949.68, "word": " ال", "probability": 0.6689453125}, {"start": 2949.68, "end": 2949.98, "word": " x", "probability": 0.6689453125}, {"start": 2949.98, "end": 2950.26, "word": " هذه", "probability": 0.428466796875}, {"start": 2950.26, "end": 2950.84, "word": " لسه", "probability": 0.8562825520833334}, {"start": 2950.84, "end": 2951.64, "word": " الأولى", "probability": 0.90771484375}, {"start": 2951.64, "end": 2951.8, "word": " في", "probability": 0.9345703125}, {"start": 2951.8, "end": 2952.46, "word": " مشتقة", "probability": 0.9710286458333334}, {"start": 2952.46, "end": 2952.84, "word": " main", "probability": 0.86669921875}], "temperature": 1.0}, {"id": 125, "seek": 297717, "start": 2953.17, "end": 2977.17, "text": "الثانية زائد الثانية في مشتقة الأولى يبقى هنا tan inverse لسنش ال X في مشتقة الجوش اللي هو main بسنش ال X حد شافه يقدر يقولي كده المقدار هذا سيكون واحد صحيح", "tokens": [6027, 12984, 7649, 10632, 30767, 16373, 3215, 6024, 104, 7649, 10632, 8978, 37893, 2655, 28671, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 34105, 7603, 17340, 5296, 3794, 1863, 8592, 2423, 1783, 8978, 37893, 2655, 28671, 25724, 2407, 8592, 13672, 1829, 31439, 2135, 4724, 3794, 1863, 8592, 2423, 1783, 11331, 3215, 13412, 31845, 3224, 7251, 28543, 2288, 7251, 39648, 1829, 9122, 3215, 3224, 9673, 28543, 9640, 23758, 8608, 1829, 30544, 36764, 24401, 20328, 5016, 1829, 5016], "avg_logprob": -0.2621299342105263, "compression_ratio": 1.6158536585365855, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2953.17, "end": 2954.23, "word": "الثانية", "probability": 0.80352783203125}, {"start": 2954.23, "end": 2955.75, "word": " زائد", "probability": 0.6174723307291666}, {"start": 2955.75, "end": 2957.21, "word": " الثانية", "probability": 0.92529296875}, {"start": 2957.21, "end": 2957.51, "word": " في", "probability": 0.923828125}, {"start": 2957.51, "end": 2958.29, "word": " مشتقة", "probability": 0.9189453125}, {"start": 2958.29, "end": 2959.09, "word": " الأولى", "probability": 0.92333984375}, {"start": 2959.09, "end": 2960.05, "word": " يبقى", "probability": 0.94921875}, {"start": 2960.05, "end": 2960.49, "word": " هنا", "probability": 0.95458984375}, {"start": 2960.49, "end": 2961.33, "word": " tan", "probability": 0.423828125}, {"start": 2961.33, "end": 2962.47, "word": " inverse", "probability": 0.90869140625}, {"start": 2962.47, "end": 2964.07, "word": " لسنش", "probability": 0.921142578125}, {"start": 2964.07, "end": 2964.85, "word": " ال", "probability": 0.69580078125}, {"start": 2964.85, "end": 2965.37, "word": " X", "probability": 0.54248046875}, {"start": 2965.37, "end": 2965.85, "word": " في", "probability": 0.888671875}, {"start": 2965.85, "end": 2966.53, "word": " مشتقة", "probability": 0.98828125}, {"start": 2966.53, "end": 2967.25, "word": " الجوش", "probability": 0.5880533854166666}, {"start": 2967.25, "end": 2967.43, "word": " اللي", "probability": 0.6962890625}, {"start": 2967.43, "end": 2967.59, "word": " هو", "probability": 0.95751953125}, {"start": 2967.59, "end": 2968.07, "word": " main", "probability": 0.212646484375}, {"start": 2968.07, "end": 2969.29, "word": " بسنش", "probability": 0.900390625}, {"start": 2969.29, "end": 2969.55, "word": " ال", "probability": 0.76220703125}, {"start": 2969.55, "end": 2970.03, "word": " X", "probability": 0.98486328125}, {"start": 2970.03, "end": 2971.77, "word": " حد", "probability": 0.639404296875}, {"start": 2971.77, "end": 2972.19, "word": " شافه", "probability": 0.7360026041666666}, {"start": 2972.19, "end": 2972.61, "word": " يقدر", "probability": 0.76220703125}, {"start": 2972.61, "end": 2972.99, "word": " يقولي", "probability": 0.7434895833333334}, {"start": 2972.99, "end": 2973.37, "word": " كده", "probability": 0.65771484375}, {"start": 2973.37, "end": 2974.25, "word": " المقدار", "probability": 0.91796875}, {"start": 2974.25, "end": 2974.65, "word": " هذا", "probability": 0.8994140625}, {"start": 2974.65, "end": 2975.51, "word": " سيكون", "probability": 0.6661783854166666}, {"start": 2975.51, "end": 2976.05, "word": " واحد", "probability": 0.91748046875}, {"start": 2976.05, "end": 2977.17, "word": " صحيح", "probability": 0.9208984375}], "temperature": 1.0}, {"id": 126, "seek": 300106, "start": 2985.46, "end": 3001.06, "text": "النتيجة تساوي واحد صحيح و هنا زائد اللي هو ten inverse لسنش ال X في من في سنش ال X", "tokens": [6027, 1863, 31371, 7435, 3660, 6055, 3794, 995, 45865, 36764, 24401, 20328, 5016, 1829, 5016, 4032, 34105, 30767, 16373, 3215, 13672, 1829, 31439, 2064, 17340, 5296, 3794, 1863, 8592, 2423, 1783, 8978, 9154, 8978, 8608, 1863, 8592, 2423, 1783], "avg_logprob": -0.413281238079071, "compression_ratio": 1.2788461538461537, "no_speech_prob": 0.0, "words": [{"start": 2985.46, "end": 2986.82, "word": "النتيجة", "probability": 0.68052978515625}, {"start": 2986.82, "end": 2987.8, "word": " تساوي", "probability": 0.76483154296875}, {"start": 2987.8, "end": 2989.06, "word": " واحد", "probability": 0.6104736328125}, {"start": 2989.06, "end": 2989.92, "word": " صحيح", "probability": 0.9720458984375}, {"start": 2989.92, "end": 2990.36, "word": " و", "probability": 0.3740234375}, {"start": 2990.36, "end": 2990.68, "word": " هنا", "probability": 0.469970703125}, {"start": 2990.68, "end": 2991.66, "word": " زائد", "probability": 0.67578125}, {"start": 2991.66, "end": 2992.22, "word": " اللي", "probability": 0.5606689453125}, {"start": 2992.22, "end": 2992.44, "word": " هو", "probability": 0.96044921875}, {"start": 2992.44, "end": 2993.36, "word": " ten", "probability": 0.22119140625}, {"start": 2993.36, "end": 2994.74, "word": " inverse", "probability": 0.88671875}, {"start": 2994.74, "end": 2996.46, "word": " لسنش", "probability": 0.8895263671875}, {"start": 2996.46, "end": 2997.22, "word": " ال", "probability": 0.78955078125}, {"start": 2997.22, "end": 2997.78, "word": " X", "probability": 0.470458984375}, {"start": 2997.78, "end": 2998.36, "word": " في", "probability": 0.75244140625}, {"start": 2998.36, "end": 2998.72, "word": " من", "probability": 0.34033203125}, {"start": 2998.72, "end": 2999.22, "word": " في", "probability": 0.78662109375}, {"start": 2999.22, "end": 3000.18, "word": " سنش", "probability": 0.9845377604166666}, {"start": 3000.18, "end": 3000.78, "word": " ال", "probability": 0.765625}, {"start": 3000.78, "end": 3001.06, "word": " X", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 127, "seek": 303244, "start": 3003.14, "end": 3032.44, "text": "طيب نروح للنقطة السادسة والاخيرة من ال derivatives يقول الحمد لله الراجل متضايق تنفذ السعاداء طيب يبقى ستة Y تساوي ال X في جوش ال X مين قال فيك الحمد لله خنشوف احنا ويا شغلنا مع المسألة هذه مين اللي قال الحمد لله يعني ان انا متضايق او زهق", "tokens": [9566, 1829, 3555, 8717, 32887, 5016, 24976, 1863, 47432, 3660, 21136, 18513, 3794, 3660, 16070, 47283, 48923, 9154, 2423, 33733, 7251, 39648, 21542, 2304, 3215, 24976, 3224, 34892, 26108, 1211, 44650, 11242, 47302, 4587, 6055, 1863, 5172, 8848, 21136, 3615, 18513, 16606, 23032, 1829, 3555, 7251, 3555, 4587, 7578, 8608, 2655, 3660, 398, 6055, 3794, 995, 45865, 2423, 1783, 8978, 10874, 2407, 8592, 2423, 1783, 3714, 9957, 50239, 8978, 4117, 21542, 2304, 3215, 24976, 3224, 16490, 1863, 8592, 38688, 1975, 5016, 8315, 4032, 25528, 13412, 17082, 1211, 8315, 20449, 9673, 3794, 10721, 37977, 29538, 3714, 9957, 13672, 1829, 50239, 21542, 2304, 3215, 24976, 3224, 37495, 22653, 16472, 1975, 8315, 44650, 11242, 47302, 4587, 1975, 2407, 30767, 3224, 4587], "avg_logprob": -0.217436975541235, "compression_ratio": 1.8078602620087336, "no_speech_prob": 0.0, "words": [{"start": 3003.14, "end": 3003.5, "word": "طيب", "probability": 0.7082926432291666}, {"start": 3003.5, "end": 3004.04, "word": " نروح", "probability": 0.86083984375}, {"start": 3004.04, "end": 3004.6, "word": " للنقطة", "probability": 0.8834228515625}, {"start": 3004.6, "end": 3005.2, "word": " السادسة", "probability": 0.9600830078125}, {"start": 3005.2, "end": 3005.98, "word": " والاخيرة", "probability": 0.7970377604166666}, {"start": 3005.98, "end": 3006.22, "word": " من", "probability": 0.9873046875}, {"start": 3006.22, "end": 3006.38, "word": " ال", "probability": 0.919921875}, {"start": 3006.38, "end": 3006.94, "word": " derivatives", "probability": 0.82958984375}, {"start": 3006.94, "end": 3011.5, "word": " يقول", "probability": 0.6383056640625}, {"start": 3011.5, "end": 3011.9, "word": " الحمد", "probability": 0.9505208333333334}, {"start": 3011.9, "end": 3012.12, "word": " لله", "probability": 0.862060546875}, {"start": 3012.12, "end": 3012.6, "word": " الراجل", "probability": 0.98583984375}, {"start": 3012.6, "end": 3013.14, "word": " متضايق", "probability": 0.737548828125}, {"start": 3013.14, "end": 3013.72, "word": " تنفذ", "probability": 0.770263671875}, {"start": 3013.72, "end": 3014.6, "word": " السعاداء", "probability": 0.6900634765625}, {"start": 3014.6, "end": 3015.96, "word": " طيب", "probability": 0.88720703125}, {"start": 3015.96, "end": 3016.8, "word": " يبقى", "probability": 0.94384765625}, {"start": 3016.8, "end": 3017.62, "word": " ستة", "probability": 0.7469889322916666}, {"start": 3017.62, "end": 3018.08, "word": " Y", "probability": 0.50830078125}, {"start": 3018.08, "end": 3019.04, "word": " تساوي", "probability": 0.922607421875}, {"start": 3019.04, "end": 3019.94, "word": " ال", "probability": 0.70556640625}, {"start": 3019.94, "end": 3020.48, "word": " X", "probability": 0.94384765625}, {"start": 3020.48, "end": 3021.26, "word": " في", "probability": 0.8427734375}, {"start": 3021.26, "end": 3021.7, "word": " جوش", "probability": 0.7105305989583334}, {"start": 3021.7, "end": 3021.92, "word": " ال", "probability": 0.89599609375}, {"start": 3021.92, "end": 3022.34, "word": " X", "probability": 0.9658203125}, {"start": 3022.34, "end": 3024.8, "word": " مين", "probability": 0.82568359375}, {"start": 3024.8, "end": 3025.04, "word": " قال", "probability": 0.9873046875}, {"start": 3025.04, "end": 3025.32, "word": " فيك", "probability": 0.8330078125}, {"start": 3025.32, "end": 3025.78, "word": " الحمد", "probability": 0.8006184895833334}, {"start": 3025.78, "end": 3026.24, "word": " لله", "probability": 0.9326171875}, {"start": 3026.24, "end": 3026.76, "word": " خنشوف", "probability": 0.75360107421875}, {"start": 3026.76, "end": 3027.0, "word": " احنا", "probability": 0.90869140625}, {"start": 3027.0, "end": 3027.2, "word": " ويا", "probability": 0.7626953125}, {"start": 3027.2, "end": 3027.66, "word": " شغلنا", "probability": 0.90087890625}, {"start": 3027.66, "end": 3027.82, "word": " مع", "probability": 0.98486328125}, {"start": 3027.82, "end": 3028.46, "word": " المسألة", "probability": 0.8599853515625}, {"start": 3028.46, "end": 3028.86, "word": " هذه", "probability": 0.71044921875}, {"start": 3028.86, "end": 3029.94, "word": " مين", "probability": 0.811279296875}, {"start": 3029.94, "end": 3030.14, "word": " اللي", "probability": 0.962646484375}, {"start": 3030.14, "end": 3030.32, "word": " قال", "probability": 0.98291015625}, {"start": 3030.32, "end": 3030.68, "word": " الحمد", "probability": 0.9794921875}, {"start": 3030.68, "end": 3030.86, "word": " لله", "probability": 0.9375}, {"start": 3030.86, "end": 3031.08, "word": " يعني", "probability": 0.978515625}, {"start": 3031.08, "end": 3031.24, "word": " ان", "probability": 0.3935546875}, {"start": 3031.24, "end": 3031.3, "word": " انا", "probability": 0.439453125}, {"start": 3031.3, "end": 3031.8, "word": " متضايق", "probability": 0.84381103515625}, {"start": 3031.8, "end": 3032.06, "word": " او", "probability": 0.8857421875}, {"start": 3032.06, "end": 3032.44, "word": " زهق", "probability": 0.8390299479166666}], "temperature": 1.0}, {"id": 128, "seek": 305606, "start": 3033.36, "end": 3056.06, "text": "انت؟ عم انت اسم ابني هناك شو اسمك انت؟ item البنى item البنى بده يبنينا الحل اللي هنا عندني هذه المثلة نشوف هل هو بده يبني بناء صحيحا ولا بناء خاصة إذا كان من كلية الهندسة يعني طيب ايش بدك تقترح علينا؟", "tokens": [7649, 2655, 22807, 6225, 2304, 16472, 2655, 24525, 2304, 1975, 3555, 22653, 34105, 4117, 13412, 2407, 24525, 2304, 4117, 16472, 2655, 22807, 3174, 29739, 1863, 7578, 3174, 29739, 1863, 7578, 47525, 3224, 7251, 3555, 22653, 8315, 21542, 1211, 13672, 1829, 34105, 43242, 22653, 29538, 9673, 12984, 37977, 8717, 8592, 38688, 8032, 1211, 31439, 47525, 3224, 7251, 3555, 22653, 44945, 16606, 20328, 5016, 1829, 5016, 995, 49429, 44945, 16606, 16490, 33546, 3660, 11933, 15730, 25961, 9154, 28242, 10632, 2423, 3224, 41260, 3794, 3660, 37495, 22653, 23032, 1829, 3555, 1975, 1829, 8592, 47525, 4117, 6055, 38149, 2288, 5016, 25894, 8315, 22807], "avg_logprob": -0.2356250064074993, "compression_ratio": 1.8578947368421053, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3033.36, "end": 3034.28, "word": "انت؟", "probability": 0.6089680989583334}, {"start": 3034.28, "end": 3034.68, "word": " عم", "probability": 0.3331298828125}, {"start": 3034.68, "end": 3035.22, "word": " انت", "probability": 0.941650390625}, {"start": 3035.22, "end": 3036.5, "word": " اسم", "probability": 0.883544921875}, {"start": 3036.5, "end": 3036.84, "word": " ابني", "probability": 0.4872233072916667}, {"start": 3036.84, "end": 3037.4, "word": " هناك", "probability": 0.90234375}, {"start": 3037.4, "end": 3038.22, "word": " شو", "probability": 0.6864013671875}, {"start": 3038.22, "end": 3038.56, "word": " اسمك", "probability": 0.9461263020833334}, {"start": 3038.56, "end": 3039.1, "word": " انت؟", "probability": 0.8142903645833334}, {"start": 3039.1, "end": 3039.34, "word": " item", "probability": 0.8623046875}, {"start": 3039.34, "end": 3039.8, "word": " البنى", "probability": 0.7333984375}, {"start": 3039.8, "end": 3040.44, "word": " item", "probability": 0.69677734375}, {"start": 3040.44, "end": 3041.06, "word": " البنى", "probability": 0.9755859375}, {"start": 3041.06, "end": 3041.42, "word": " بده", "probability": 0.740966796875}, {"start": 3041.42, "end": 3042.1, "word": " يبنينا", "probability": 0.8682861328125}, {"start": 3042.1, "end": 3042.74, "word": " الحل", "probability": 0.985107421875}, {"start": 3042.74, "end": 3043.0, "word": " اللي", "probability": 0.754638671875}, {"start": 3043.0, "end": 3043.36, "word": " هنا", "probability": 0.95703125}, {"start": 3043.36, "end": 3043.94, "word": " عندني", "probability": 0.5909423828125}, {"start": 3043.94, "end": 3044.2, "word": " هذه", "probability": 0.74755859375}, {"start": 3044.2, "end": 3044.76, "word": " المثلة", "probability": 0.7045084635416666}, {"start": 3044.76, "end": 3045.68, "word": " نشوف", "probability": 0.8857421875}, {"start": 3045.68, "end": 3045.92, "word": " هل", "probability": 0.978515625}, {"start": 3045.92, "end": 3046.1, "word": " هو", "probability": 0.837890625}, {"start": 3046.1, "end": 3046.36, "word": " بده", "probability": 0.74609375}, {"start": 3046.36, "end": 3046.7, "word": " يبني", "probability": 0.96044921875}, {"start": 3046.7, "end": 3047.18, "word": " بناء", "probability": 0.95556640625}, {"start": 3047.18, "end": 3048.3, "word": " صحيحا", "probability": 0.90810546875}, {"start": 3048.3, "end": 3048.88, "word": " ولا", "probability": 0.425537109375}, {"start": 3048.88, "end": 3049.34, "word": " بناء", "probability": 0.946533203125}, {"start": 3049.34, "end": 3050.0, "word": " خاصة", "probability": 0.87451171875}, {"start": 3050.0, "end": 3050.2, "word": " إذا", "probability": 0.827880859375}, {"start": 3050.2, "end": 3050.44, "word": " كان", "probability": 0.6748046875}, {"start": 3050.44, "end": 3050.64, "word": " من", "probability": 0.9521484375}, {"start": 3050.64, "end": 3051.02, "word": " كلية", "probability": 0.67431640625}, {"start": 3051.02, "end": 3051.74, "word": " الهندسة", "probability": 0.98740234375}, {"start": 3051.74, "end": 3052.32, "word": " يعني", "probability": 0.802734375}, {"start": 3052.32, "end": 3053.5, "word": " طيب", "probability": 0.9246419270833334}, {"start": 3053.5, "end": 3054.78, "word": " ايش", "probability": 0.765869140625}, {"start": 3054.78, "end": 3055.02, "word": " بدك", "probability": 0.913330078125}, {"start": 3055.02, "end": 3055.42, "word": " تقترح", "probability": 0.9842529296875}, {"start": 3055.42, "end": 3056.06, "word": " علينا؟", "probability": 0.9153645833333334}], "temperature": 1.0}, {"id": 129, "seek": 306285, "start": 3058.61, "end": 3062.85, "text": "وجهة نظر سليمة جدا لما ناخد دل الطرفات", "tokens": [29245, 3224, 3660, 8717, 19913, 2288, 8608, 20292, 46007, 10874, 28259, 5296, 15042, 8717, 47283, 3215, 11778, 1211, 41950, 28480, 9307], "avg_logprob": -0.34730114855549554, "compression_ratio": 1.0298507462686568, "no_speech_prob": 0.0, "words": [{"start": 3058.61, "end": 3059.61, "word": "وجهة", "probability": 0.6909586588541666}, {"start": 3059.61, "end": 3060.11, "word": " نظر", "probability": 0.9666341145833334}, {"start": 3060.11, "end": 3060.67, "word": " سليمة", "probability": 0.9140625}, {"start": 3060.67, "end": 3060.91, "word": " جدا", "probability": 0.966064453125}, {"start": 3060.91, "end": 3061.09, "word": " لما", "probability": 0.296661376953125}, {"start": 3061.09, "end": 3061.59, "word": " ناخد", "probability": 0.9620768229166666}, {"start": 3061.59, "end": 3061.95, "word": " دل", "probability": 0.65478515625}, {"start": 3061.95, "end": 3062.85, "word": " الطرفات", "probability": 0.80859375}], "temperature": 1.0}, {"id": 130, "seek": 309620, "start": 3068.58, "end": 3096.2, "text": "يبقى انا عندي طريقين و اي طريق نصركوا صحيح يا اما باخد اللمن الطرفين ثم الاشتقاق و هذا اللي كنا نسميه التفاضل اللغاريثمي يا اما يا اما بروح تمام تمام يبقى بدى اكتب هذه بدلالة ال exponential يبقى E أس جوش ال X لمن ال X بالشكل اللي عندها", "tokens": [1829, 3555, 4587, 7578, 1975, 8315, 18871, 16254, 23032, 16572, 4587, 9957, 4032, 1975, 1829, 23032, 16572, 4587, 8717, 9381, 2288, 4117, 14407, 20328, 5016, 1829, 5016, 35186, 1975, 15042, 4724, 47283, 3215, 13672, 2304, 1863, 41950, 28480, 9957, 38637, 2304, 2423, 33599, 2655, 4587, 995, 4587, 4032, 23758, 13672, 1829, 9122, 8315, 8717, 38251, 1829, 3224, 16712, 5172, 46958, 1211, 13672, 17082, 9640, 1829, 12984, 2304, 1829, 35186, 1975, 15042, 35186, 1975, 15042, 4724, 32887, 5016, 46811, 10943, 46811, 10943, 7251, 3555, 4587, 7578, 47525, 7578, 1975, 4117, 2655, 3555, 29538, 47525, 1211, 6027, 3660, 2423, 21510, 7251, 3555, 4587, 7578, 462, 5551, 3794, 10874, 2407, 8592, 2423, 1783, 32767, 1863, 2423, 1783, 20666, 8592, 28820, 13672, 1829, 43242, 11296], "avg_logprob": -0.2756147518998287, "compression_ratio": 1.7894736842105263, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 3068.58, "end": 3069.66, "word": "يبقى", "probability": 0.68011474609375}, {"start": 3069.66, "end": 3069.98, "word": " انا", "probability": 0.69091796875}, {"start": 3069.98, "end": 3070.5, "word": " عندي", "probability": 0.77587890625}, {"start": 3070.5, "end": 3071.32, "word": " طريقين", "probability": 0.95458984375}, {"start": 3071.32, "end": 3071.9, "word": " و", "probability": 0.53173828125}, {"start": 3071.9, "end": 3072.2, "word": " اي", "probability": 0.6650390625}, {"start": 3072.2, "end": 3072.58, "word": " طريق", "probability": 0.9925130208333334}, {"start": 3072.58, "end": 3073.12, "word": " نصركوا", "probability": 0.4845458984375}, {"start": 3073.12, "end": 3073.56, "word": " صحيح", "probability": 0.8988037109375}, {"start": 3073.56, "end": 3073.84, "word": " يا", "probability": 0.328369140625}, {"start": 3073.84, "end": 3074.4, "word": " اما", "probability": 0.913330078125}, {"start": 3074.4, "end": 3075.42, "word": " باخد", "probability": 0.94189453125}, {"start": 3075.42, "end": 3075.7, "word": " اللمن", "probability": 0.5897623697916666}, {"start": 3075.7, "end": 3076.28, "word": " الطرفين", "probability": 0.75}, {"start": 3076.28, "end": 3076.66, "word": " ثم", "probability": 0.985595703125}, {"start": 3076.66, "end": 3077.68, "word": " الاشتقاق", "probability": 0.7923990885416666}, {"start": 3077.68, "end": 3078.16, "word": " و", "probability": 0.362548828125}, {"start": 3078.16, "end": 3078.36, "word": " هذا", "probability": 0.74609375}, {"start": 3078.36, "end": 3078.5, "word": " اللي", "probability": 0.6536865234375}, {"start": 3078.5, "end": 3078.7, "word": " كنا", "probability": 0.93115234375}, {"start": 3078.7, "end": 3079.24, "word": " نسميه", "probability": 0.85791015625}, {"start": 3079.24, "end": 3079.96, "word": " التفاضل", "probability": 0.81072998046875}, {"start": 3079.96, "end": 3081.12, "word": " اللغاريثمي", "probability": 0.8351702008928571}, {"start": 3081.12, "end": 3081.82, "word": " يا", "probability": 0.7568359375}, {"start": 3081.82, "end": 3082.4, "word": " اما", "probability": 0.943603515625}, {"start": 3082.4, "end": 3083.06, "word": " يا", "probability": 0.2086181640625}, {"start": 3083.06, "end": 3083.44, "word": " اما", "probability": 0.965087890625}, {"start": 3083.44, "end": 3084.88, "word": " بروح", "probability": 0.9466145833333334}, {"start": 3084.88, "end": 3086.26, "word": " تمام", "probability": 0.839599609375}, {"start": 3086.26, "end": 3086.92, "word": " تمام", "probability": 0.82080078125}, {"start": 3086.92, "end": 3087.52, "word": " يبقى", "probability": 0.87890625}, {"start": 3087.52, "end": 3087.82, "word": " بدى", "probability": 0.4708251953125}, {"start": 3087.82, "end": 3088.26, "word": " اكتب", "probability": 0.971435546875}, {"start": 3088.26, "end": 3088.64, "word": " هذه", "probability": 0.5361328125}, {"start": 3088.64, "end": 3089.32, "word": " بدلالة", "probability": 0.8603515625}, {"start": 3089.32, "end": 3089.5, "word": " ال", "probability": 0.9501953125}, {"start": 3089.5, "end": 3090.32, "word": " exponential", "probability": 0.66748046875}, {"start": 3090.32, "end": 3091.64, "word": " يبقى", "probability": 0.97509765625}, {"start": 3091.64, "end": 3091.92, "word": " E", "probability": 0.74169921875}, {"start": 3091.92, "end": 3092.54, "word": " أس", "probability": 0.715576171875}, {"start": 3092.54, "end": 3093.1, "word": " جوش", "probability": 0.8225911458333334}, {"start": 3093.1, "end": 3093.38, "word": " ال", "probability": 0.83251953125}, {"start": 3093.38, "end": 3093.82, "word": " X", "probability": 0.8759765625}, {"start": 3093.82, "end": 3094.54, "word": " لمن", "probability": 0.6455078125}, {"start": 3094.54, "end": 3094.78, "word": " ال", "probability": 0.9267578125}, {"start": 3094.78, "end": 3095.1, "word": " X", "probability": 0.9130859375}, {"start": 3095.1, "end": 3095.68, "word": " بالشكل", "probability": 0.97412109375}, {"start": 3095.68, "end": 3095.88, "word": " اللي", "probability": 0.97412109375}, {"start": 3095.88, "end": 3096.2, "word": " عندها", "probability": 0.686767578125}], "temperature": 1.0}, {"id": 131, "seek": 312081, "start": 3096.71, "end": 3120.81, "text": "أو بمن؟ بطريقتنا الأولى طيب يبقى الآن بدأج أقوله ال Y' يساوي ال exponential كما هي جوش ال X في لن ال X في تفاضل الأس تبع ال exponential اللي هو حصل ضرب دالتين يبقى جوش ال X في واحد على X", "tokens": [10721, 2407, 4724, 27842, 22807, 4724, 9566, 16572, 38149, 8315, 16247, 12610, 7578, 23032, 1829, 3555, 7251, 3555, 4587, 7578, 6024, 48506, 4724, 3215, 10721, 7435, 5551, 39648, 3224, 2423, 398, 6, 7251, 3794, 995, 45865, 2423, 21510, 9122, 15042, 39896, 10874, 2407, 8592, 2423, 1783, 8978, 5296, 1863, 2423, 1783, 8978, 6055, 5172, 46958, 1211, 16247, 3794, 6055, 3555, 3615, 2423, 21510, 13672, 1829, 31439, 11331, 36520, 48812, 25513, 11778, 6027, 2655, 9957, 7251, 3555, 4587, 7578, 10874, 2407, 8592, 2423, 1783, 8978, 36764, 24401, 15844, 1783], "avg_logprob": -0.21875000133943023, "compression_ratio": 1.6378378378378378, "no_speech_prob": 0.0, "words": [{"start": 3096.71, "end": 3097.23, "word": "أو", "probability": 0.6055908203125}, {"start": 3097.23, "end": 3099.03, "word": " بمن؟", "probability": 0.5915730794270834}, {"start": 3099.03, "end": 3099.95, "word": " بطريقتنا", "probability": 0.94755859375}, {"start": 3099.95, "end": 3100.51, "word": " الأولى", "probability": 0.9768880208333334}, {"start": 3100.51, "end": 3101.09, "word": " طيب", "probability": 0.765869140625}, {"start": 3101.09, "end": 3102.13, "word": " يبقى", "probability": 0.9246826171875}, {"start": 3102.13, "end": 3102.55, "word": " الآن", "probability": 0.6641845703125}, {"start": 3102.55, "end": 3103.01, "word": " بدأج", "probability": 0.56195068359375}, {"start": 3103.01, "end": 3103.53, "word": " أقوله", "probability": 0.7548828125}, {"start": 3103.53, "end": 3103.69, "word": " ال", "probability": 0.6611328125}, {"start": 3103.69, "end": 3103.99, "word": " Y'", "probability": 0.42578125}, {"start": 3104.57, "end": 3105.49, "word": " يساوي", "probability": 0.842529296875}, {"start": 3105.49, "end": 3106.09, "word": " ال", "probability": 0.88623046875}, {"start": 3106.09, "end": 3106.89, "word": " exponential", "probability": 0.499755859375}, {"start": 3106.89, "end": 3107.99, "word": " كما", "probability": 0.943115234375}, {"start": 3107.99, "end": 3108.81, "word": " هي", "probability": 0.9208984375}, {"start": 3108.81, "end": 3109.69, "word": " جوش", "probability": 0.8935546875}, {"start": 3109.69, "end": 3109.91, "word": " ال", "probability": 0.87060546875}, {"start": 3109.91, "end": 3110.25, "word": " X", "probability": 0.95556640625}, {"start": 3110.25, "end": 3110.49, "word": " في", "probability": 0.8564453125}, {"start": 3110.49, "end": 3110.81, "word": " لن", "probability": 0.902099609375}, {"start": 3110.81, "end": 3111.03, "word": " ال", "probability": 0.63720703125}, {"start": 3111.03, "end": 3111.37, "word": " X", "probability": 0.9326171875}, {"start": 3111.37, "end": 3111.91, "word": " في", "probability": 0.90478515625}, {"start": 3111.91, "end": 3112.67, "word": " تفاضل", "probability": 0.918701171875}, {"start": 3112.67, "end": 3113.05, "word": " الأس", "probability": 0.787109375}, {"start": 3113.05, "end": 3113.43, "word": " تبع", "probability": 0.86376953125}, {"start": 3113.43, "end": 3113.61, "word": " ال", "probability": 0.962890625}, {"start": 3113.61, "end": 3114.33, "word": " exponential", "probability": 0.90283203125}, {"start": 3114.33, "end": 3115.31, "word": " اللي", "probability": 0.961181640625}, {"start": 3115.31, "end": 3115.53, "word": " هو", "probability": 0.98828125}, {"start": 3115.53, "end": 3115.95, "word": " حصل", "probability": 0.6966552734375}, {"start": 3115.95, "end": 3116.27, "word": " ضرب", "probability": 0.92626953125}, {"start": 3116.27, "end": 3117.11, "word": " دالتين", "probability": 0.84637451171875}, {"start": 3117.11, "end": 3118.01, "word": " يبقى", "probability": 0.9805908203125}, {"start": 3118.01, "end": 3118.37, "word": " جوش", "probability": 0.9931640625}, {"start": 3118.37, "end": 3118.59, "word": " ال", "probability": 0.89697265625}, {"start": 3118.59, "end": 3118.93, "word": " X", "probability": 0.99462890625}, {"start": 3118.93, "end": 3119.17, "word": " في", "probability": 0.9560546875}, {"start": 3119.17, "end": 3119.67, "word": " واحد", "probability": 0.826904296875}, {"start": 3119.67, "end": 3120.27, "word": " على", "probability": 0.78564453125}, {"start": 3120.27, "end": 3120.81, "word": " X", "probability": 0.990234375}], "temperature": 1.0}, {"id": 132, "seek": 314970, "start": 3121.18, "end": 3149.7, "text": "زائد لن ال X في تفاضل الجوش اللي هو بسنش ال X الشكل اللي عندنا هنا ممكن نرجعها إلى أصلها و نكتب X أس جوش ال X في مين؟ في جوش ال X على X زائد لن ال X في سنش ال X آخر سؤال اللي هو مثال 4 evaluate", "tokens": [11622, 16373, 3215, 5296, 1863, 2423, 1783, 8978, 6055, 5172, 46958, 1211, 25724, 2407, 8592, 13672, 1829, 31439, 4724, 3794, 1863, 8592, 2423, 1783, 25124, 28820, 13672, 1829, 43242, 8315, 34105, 3714, 43020, 8717, 47341, 3615, 11296, 30731, 5551, 36520, 11296, 4032, 8717, 4117, 2655, 3555, 1783, 5551, 3794, 10874, 2407, 8592, 2423, 1783, 8978, 3714, 9957, 22807, 8978, 10874, 2407, 8592, 2423, 1783, 15844, 1783, 30767, 16373, 3215, 5296, 1863, 2423, 1783, 8978, 8608, 1863, 8592, 2423, 1783, 19753, 34740, 8608, 33604, 6027, 13672, 1829, 31439, 50113, 6027, 1017, 13059], "avg_logprob": -0.19480299317966338, "compression_ratio": 1.8181818181818181, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 3121.18, "end": 3122.12, "word": "زائد", "probability": 0.5557454427083334}, {"start": 3122.12, "end": 3122.98, "word": " لن", "probability": 0.791748046875}, {"start": 3122.98, "end": 3123.26, "word": " ال", "probability": 0.67822265625}, {"start": 3123.26, "end": 3123.68, "word": " X", "probability": 0.53759765625}, {"start": 3123.68, "end": 3124.1, "word": " في", "probability": 0.59814453125}, {"start": 3124.1, "end": 3124.68, "word": " تفاضل", "probability": 0.978271484375}, {"start": 3124.68, "end": 3125.36, "word": " الجوش", "probability": 0.89306640625}, {"start": 3125.36, "end": 3125.86, "word": " اللي", "probability": 0.70068359375}, {"start": 3125.86, "end": 3126.12, "word": " هو", "probability": 0.96875}, {"start": 3126.12, "end": 3127.08, "word": " بسنش", "probability": 0.7623291015625}, {"start": 3127.08, "end": 3127.56, "word": " ال", "probability": 0.77197265625}, {"start": 3127.56, "end": 3127.94, "word": " X", "probability": 0.97509765625}, {"start": 3127.94, "end": 3128.54, "word": " الشكل", "probability": 0.60272216796875}, {"start": 3128.54, "end": 3128.7, "word": " اللي", "probability": 0.853271484375}, {"start": 3128.7, "end": 3128.96, "word": " عندنا", "probability": 0.670166015625}, {"start": 3128.96, "end": 3129.22, "word": " هنا", "probability": 0.391845703125}, {"start": 3129.22, "end": 3130.86, "word": " ممكن", "probability": 0.97314453125}, {"start": 3130.86, "end": 3131.5, "word": " نرجعها", "probability": 0.95361328125}, {"start": 3131.5, "end": 3131.8, "word": " إلى", "probability": 0.61181640625}, {"start": 3131.8, "end": 3132.34, "word": " أصلها", "probability": 0.96142578125}, {"start": 3132.34, "end": 3132.48, "word": " و", "probability": 0.95703125}, {"start": 3132.48, "end": 3132.94, "word": " نكتب", "probability": 0.939208984375}, {"start": 3132.94, "end": 3133.46, "word": " X", "probability": 0.88671875}, {"start": 3133.46, "end": 3134.06, "word": " أس", "probability": 0.6689453125}, {"start": 3134.06, "end": 3134.68, "word": " جوش", "probability": 0.9749348958333334}, {"start": 3134.68, "end": 3134.98, "word": " ال", "probability": 0.92333984375}, {"start": 3134.98, "end": 3135.38, "word": " X", "probability": 0.9931640625}, {"start": 3135.38, "end": 3135.94, "word": " في", "probability": 0.521484375}, {"start": 3135.94, "end": 3136.58, "word": " مين؟", "probability": 0.7169596354166666}, {"start": 3136.58, "end": 3136.78, "word": " في", "probability": 0.95361328125}, {"start": 3136.78, "end": 3137.26, "word": " جوش", "probability": 0.99072265625}, {"start": 3137.26, "end": 3137.56, "word": " ال", "probability": 0.95556640625}, {"start": 3137.56, "end": 3137.98, "word": " X", "probability": 0.99560546875}, {"start": 3137.98, "end": 3138.82, "word": " على", "probability": 0.77587890625}, {"start": 3138.82, "end": 3139.4, "word": " X", "probability": 0.9775390625}, {"start": 3139.4, "end": 3140.62, "word": " زائد", "probability": 0.9654947916666666}, {"start": 3140.62, "end": 3141.38, "word": " لن", "probability": 0.978515625}, {"start": 3141.38, "end": 3141.66, "word": " ال", "probability": 0.904296875}, {"start": 3141.66, "end": 3142.1, "word": " X", "probability": 0.99365234375}, {"start": 3142.1, "end": 3142.6, "word": " في", "probability": 0.95751953125}, {"start": 3142.6, "end": 3143.44, "word": " سنش", "probability": 0.99169921875}, {"start": 3143.44, "end": 3143.82, "word": " ال", "probability": 0.8955078125}, {"start": 3143.82, "end": 3144.3, "word": " X", "probability": 0.9970703125}, {"start": 3144.3, "end": 3146.1, "word": " آخر", "probability": 0.730224609375}, {"start": 3146.1, "end": 3146.78, "word": " سؤال", "probability": 0.990234375}, {"start": 3146.78, "end": 3147.3, "word": " اللي", "probability": 0.946533203125}, {"start": 3147.3, "end": 3147.5, "word": " هو", "probability": 0.99365234375}, {"start": 3147.5, "end": 3148.0, "word": " مثال", "probability": 0.9580078125}, {"start": 3148.0, "end": 3148.6, "word": " 4", "probability": 0.533203125}, {"start": 3148.6, "end": 3149.7, "word": " evaluate", "probability": 0.464111328125}], "temperature": 1.0}, {"id": 133, "seek": 316265, "start": 3152.25, "end": 3162.65, "text": "the following integrals سبل التكاملات التالية", "tokens": [3322, 3480, 3572, 1124, 8608, 36150, 16712, 4117, 10943, 1211, 9307, 16712, 6027, 10632], "avg_logprob": -0.21484374403953552, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 3152.25, "end": 3152.49, "word": "the", "probability": 0.157470703125}, {"start": 3152.49, "end": 3153.37, "word": " following", "probability": 0.8466796875}, {"start": 3153.37, "end": 3157.95, "word": " integrals", "probability": 0.955810546875}, {"start": 3157.95, "end": 3159.99, "word": " سبل", "probability": 0.668212890625}, {"start": 3159.99, "end": 3161.35, "word": " التكاملات", "probability": 0.9634765625}, {"start": 3161.35, "end": 3162.65, "word": " التالية", "probability": 0.9908854166666666}], "temperature": 1.0}, {"id": 134, "seek": 318752, "start": 3164.7, "end": 3187.52, "text": "النقطة الأولى اللى وعدناكوا فيها قبل قليل اللى هي تكامل لمين؟ لتنش ال X DX و أيه السوء تكامل ليه؟ تنش اللى هو سنش ال X على جوش ال X DX", "tokens": [6027, 1863, 47432, 3660, 16247, 12610, 7578, 13672, 7578, 4032, 22488, 8315, 4117, 14407, 8978, 11296, 12174, 36150, 12174, 20292, 1211, 13672, 7578, 39896, 6055, 4117, 10943, 1211, 32767, 9957, 22807, 5296, 2655, 1863, 8592, 2423, 1783, 48817, 4032, 36632, 3224, 21136, 2407, 38207, 6055, 4117, 10943, 1211, 32239, 3224, 22807, 6055, 1863, 8592, 13672, 7578, 31439, 8608, 1863, 8592, 2423, 1783, 15844, 10874, 2407, 8592, 2423, 1783, 48817], "avg_logprob": -0.2188616082072258, "compression_ratio": 1.7238805970149254, "no_speech_prob": 0.0, "words": [{"start": 3164.7000000000003, "end": 3165.94, "word": "النقطة", "probability": 0.7334747314453125}, {"start": 3165.94, "end": 3166.5, "word": " الأولى", "probability": 0.955078125}, {"start": 3166.5, "end": 3167.18, "word": " اللى", "probability": 0.750732421875}, {"start": 3167.18, "end": 3168.04, "word": " وعدناكوا", "probability": 0.9623046875}, {"start": 3168.04, "end": 3168.64, "word": " فيها", "probability": 0.957763671875}, {"start": 3168.64, "end": 3169.32, "word": " قبل", "probability": 0.9814453125}, {"start": 3169.32, "end": 3170.56, "word": " قليل", "probability": 0.9900716145833334}, {"start": 3170.56, "end": 3171.24, "word": " اللى", "probability": 0.82470703125}, {"start": 3171.24, "end": 3171.56, "word": " هي", "probability": 0.493408203125}, {"start": 3171.56, "end": 3173.0, "word": " تكامل", "probability": 0.970703125}, {"start": 3173.0, "end": 3174.88, "word": " لمين؟", "probability": 0.703369140625}, {"start": 3174.88, "end": 3176.18, "word": " لتنش", "probability": 0.8359375}, {"start": 3176.18, "end": 3176.56, "word": " ال", "probability": 0.90087890625}, {"start": 3176.56, "end": 3177.06, "word": " X", "probability": 0.63818359375}, {"start": 3177.06, "end": 3177.96, "word": " DX", "probability": 0.89208984375}, {"start": 3177.96, "end": 3178.38, "word": " و", "probability": 0.1907958984375}, {"start": 3178.38, "end": 3178.58, "word": " أيه", "probability": 0.712890625}, {"start": 3178.58, "end": 3179.02, "word": " السوء", "probability": 0.6769205729166666}, {"start": 3179.02, "end": 3180.36, "word": " تكامل", "probability": 0.802490234375}, {"start": 3180.36, "end": 3181.14, "word": " ليه؟", "probability": 0.8889973958333334}, {"start": 3181.14, "end": 3181.72, "word": " تنش", "probability": 0.9459635416666666}, {"start": 3181.72, "end": 3181.92, "word": " اللى", "probability": 0.85986328125}, {"start": 3181.92, "end": 3182.16, "word": " هو", "probability": 0.89208984375}, {"start": 3182.16, "end": 3182.92, "word": " سنش", "probability": 0.9248046875}, {"start": 3182.92, "end": 3183.24, "word": " ال", "probability": 0.6533203125}, {"start": 3183.24, "end": 3183.68, "word": " X", "probability": 0.986328125}, {"start": 3183.68, "end": 3184.78, "word": " على", "probability": 0.6640625}, {"start": 3184.78, "end": 3185.4, "word": " جوش", "probability": 0.8323567708333334}, {"start": 3185.4, "end": 3185.74, "word": " ال", "probability": 0.94091796875}, {"start": 3185.74, "end": 3186.16, "word": " X", "probability": 0.978515625}, {"start": 3186.16, "end": 3187.52, "word": " DX", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 135, "seek": 321261, "start": 3188.61, "end": 3212.61, "text": "البسطة فضل المقام يبقى لإن absolute value في دعية كتبها لإن الجوش من واحد فمفروض لغاية الملأ نهائية يبقى لإن جوش ال X زاد كلص تلسي يبقى good exercise إلك تكامل ل potential X", "tokens": [6027, 3555, 3794, 9566, 3660, 6156, 11242, 1211, 9673, 4587, 10943, 7251, 3555, 4587, 7578, 5296, 28814, 1863, 8236, 2158, 8978, 11778, 3615, 10632, 9122, 2655, 3555, 11296, 5296, 28814, 1863, 25724, 2407, 8592, 9154, 36764, 24401, 6156, 2304, 5172, 32887, 11242, 5296, 17082, 995, 10632, 9673, 1211, 10721, 8717, 3224, 16373, 10632, 7251, 3555, 4587, 7578, 5296, 28814, 1863, 10874, 2407, 8592, 2423, 1783, 30767, 18513, 28242, 9381, 6055, 1211, 3794, 1829, 7251, 3555, 4587, 7578, 665, 5380, 11933, 23275, 6055, 4117, 10943, 1211, 5296, 3995, 1783], "avg_logprob": -0.22524577981970284, "compression_ratio": 1.4734042553191489, "no_speech_prob": 0.0, "words": [{"start": 3188.61, "end": 3189.35, "word": "البسطة", "probability": 0.69453125}, {"start": 3189.35, "end": 3189.73, "word": " فضل", "probability": 0.8927408854166666}, {"start": 3189.73, "end": 3190.51, "word": " المقام", "probability": 0.98974609375}, {"start": 3190.51, "end": 3191.67, "word": " يبقى", "probability": 0.9344482421875}, {"start": 3191.67, "end": 3192.17, "word": " لإن", "probability": 0.5732421875}, {"start": 3192.17, "end": 3193.17, "word": " absolute", "probability": 0.7021484375}, {"start": 3193.17, "end": 3193.95, "word": " value", "probability": 0.99169921875}, {"start": 3193.95, "end": 3194.13, "word": " في", "probability": 0.52783203125}, {"start": 3194.13, "end": 3194.49, "word": " دعية", "probability": 0.7317708333333334}, {"start": 3194.49, "end": 3195.27, "word": " كتبها", "probability": 0.90625}, {"start": 3195.27, "end": 3196.51, "word": " لإن", "probability": 0.8116861979166666}, {"start": 3196.51, "end": 3196.95, "word": " الجوش", "probability": 0.758056640625}, {"start": 3196.95, "end": 3197.13, "word": " من", "probability": 0.9833984375}, {"start": 3197.13, "end": 3197.77, "word": " واحد", "probability": 0.951416015625}, {"start": 3197.77, "end": 3199.41, "word": " فمفروض", "probability": 0.80673828125}, {"start": 3199.41, "end": 3199.77, "word": " لغاية", "probability": 0.9515380859375}, {"start": 3199.77, "end": 3200.17, "word": " الملأ", "probability": 0.70263671875}, {"start": 3200.17, "end": 3200.67, "word": " نهائية", "probability": 0.8214111328125}, {"start": 3200.67, "end": 3201.13, "word": " يبقى", "probability": 0.97216796875}, {"start": 3201.13, "end": 3201.77, "word": " لإن", "probability": 0.9578450520833334}, {"start": 3201.77, "end": 3202.39, "word": " جوش", "probability": 0.9666341145833334}, {"start": 3202.39, "end": 3202.59, "word": " ال", "probability": 0.8935546875}, {"start": 3202.59, "end": 3202.99, "word": " X", "probability": 0.6552734375}, {"start": 3202.99, "end": 3203.99, "word": " زاد", "probability": 0.55181884765625}, {"start": 3203.99, "end": 3204.45, "word": " كلص", "probability": 0.52099609375}, {"start": 3204.45, "end": 3205.05, "word": " تلسي", "probability": 0.8292236328125}, {"start": 3205.05, "end": 3206.05, "word": " يبقى", "probability": 0.86688232421875}, {"start": 3206.05, "end": 3206.35, "word": " good", "probability": 0.8447265625}, {"start": 3206.35, "end": 3207.43, "word": " exercise", "probability": 0.96728515625}, {"start": 3207.43, "end": 3208.33, "word": " إلك", "probability": 0.73876953125}, {"start": 3208.33, "end": 3210.43, "word": " تكامل", "probability": 0.9617919921875}, {"start": 3210.43, "end": 3210.93, "word": " ل", "probability": 0.927734375}, {"start": 3210.93, "end": 3211.69, "word": " potential", "probability": 0.79541015625}, {"start": 3211.69, "end": 3212.61, "word": " X", "probability": 0.9091796875}], "temperature": 1.0}, {"id": 136, "seek": 324190, "start": 3220.24, "end": 3241.9, "text": "النقطة التانية بدنا تكامل لسش X DX Y ساوي يلّا اتنين على EOS X زائد EOS ناقص X DX", "tokens": [6027, 1863, 47432, 3660, 16712, 7649, 10632, 47525, 8315, 6055, 4117, 10943, 1211, 5296, 3794, 8592, 1783, 48817, 398, 8608, 995, 45865, 7251, 1211, 11703, 995, 1975, 2655, 1863, 9957, 15844, 462, 4367, 1783, 30767, 16373, 3215, 462, 4367, 8717, 995, 4587, 9381, 1783, 48817], "avg_logprob": -0.3953804367262384, "compression_ratio": 1.1926605504587156, "no_speech_prob": 0.0, "words": [{"start": 3220.24, "end": 3221.64, "word": "النقطة", "probability": 0.71563720703125}, {"start": 3221.64, "end": 3222.06, "word": " التانية", "probability": 0.9558919270833334}, {"start": 3222.06, "end": 3222.44, "word": " بدنا", "probability": 0.57403564453125}, {"start": 3222.44, "end": 3223.4, "word": " تكامل", "probability": 0.8983154296875}, {"start": 3223.4, "end": 3224.44, "word": " لسش", "probability": 0.7339680989583334}, {"start": 3224.44, "end": 3225.2, "word": " X", "probability": 0.403564453125}, {"start": 3225.2, "end": 3225.8, "word": " DX", "probability": 0.9287109375}, {"start": 3225.8, "end": 3226.46, "word": " Y", "probability": 0.359619140625}, {"start": 3226.46, "end": 3227.16, "word": " ساوي", "probability": 0.6390787760416666}, {"start": 3227.16, "end": 3231.84, "word": " يلّا", "probability": 0.5738525390625}, {"start": 3231.84, "end": 3235.94, "word": " اتنين", "probability": 0.870849609375}, {"start": 3235.94, "end": 3236.94, "word": " على", "probability": 0.771484375}, {"start": 3236.94, "end": 3237.9, "word": " EOS", "probability": 0.35003662109375}, {"start": 3237.9, "end": 3238.4, "word": " X", "probability": 0.90869140625}, {"start": 3238.4, "end": 3239.34, "word": " زائد", "probability": 0.6956380208333334}, {"start": 3239.34, "end": 3239.92, "word": " EOS", "probability": 0.962890625}, {"start": 3239.92, "end": 3240.52, "word": " ناقص", "probability": 0.8809814453125}, {"start": 3240.52, "end": 3240.96, "word": " X", "probability": 0.978515625}, {"start": 3240.96, "end": 3241.9, "word": " DX", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 137, "seek": 325938, "start": 3243.46, "end": 3259.38, "text": "وادرب في EO6 و اجسم على EO6 بصير اتنين تكامل EO6 DX على EO2X زائد واحد", "tokens": [2407, 18513, 25513, 8978, 462, 46, 21, 4032, 1975, 7435, 38251, 15844, 462, 46, 21, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 6055, 4117, 10943, 1211, 462, 46, 21, 48817, 15844, 462, 46, 17, 55, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.2084603687612022, "compression_ratio": 1.1578947368421053, "no_speech_prob": 0.0, "words": [{"start": 3243.46, "end": 3244.42, "word": "وادرب", "probability": 0.6312662760416666}, {"start": 3244.42, "end": 3245.18, "word": " في", "probability": 0.681640625}, {"start": 3245.18, "end": 3246.12, "word": " EO6", "probability": 0.666259765625}, {"start": 3246.12, "end": 3246.56, "word": " و", "probability": 0.50146484375}, {"start": 3246.56, "end": 3247.08, "word": " اجسم", "probability": 0.791015625}, {"start": 3247.08, "end": 3247.5, "word": " على", "probability": 0.763671875}, {"start": 3247.5, "end": 3248.46, "word": " EO6", "probability": 0.9658203125}, {"start": 3248.46, "end": 3249.3, "word": " بصير", "probability": 0.8919270833333334}, {"start": 3249.3, "end": 3250.08, "word": " اتنين", "probability": 0.8546142578125}, {"start": 3250.08, "end": 3251.42, "word": " تكامل", "probability": 0.9656982421875}, {"start": 3251.42, "end": 3252.76, "word": " EO6", "probability": 0.96142578125}, {"start": 3252.76, "end": 3253.7, "word": " DX", "probability": 0.58544921875}, {"start": 3253.7, "end": 3254.82, "word": " على", "probability": 0.58544921875}, {"start": 3254.82, "end": 3257.32, "word": " EO2X", "probability": 0.9088134765625}, {"start": 3257.32, "end": 3258.6, "word": " زائد", "probability": 0.7732747395833334}, {"start": 3258.6, "end": 3259.38, "word": " واحد", "probability": 0.944091796875}], "temperature": 1.0}, {"id": 138, "seek": 328309, "start": 3261.43, "end": 3283.09, "text": "تمام؟ لو حطيت EO6 بvariable وليكن T تساوي EO6 يبقى DT بEO6 DX إذا قالت المسألة الاتنين تكامل DT على T تربية زائد واحد", "tokens": [39237, 10943, 22807, 45164, 11331, 9566, 36081, 462, 46, 21, 4724, 34033, 712, 4032, 20292, 19452, 314, 6055, 3794, 995, 45865, 462, 46, 21, 7251, 3555, 4587, 7578, 413, 51, 4724, 6004, 21, 48817, 11933, 15730, 12174, 6027, 2655, 9673, 3794, 10721, 37977, 2423, 9307, 1863, 9957, 6055, 4117, 10943, 1211, 413, 51, 15844, 314, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.21752930316142738, "compression_ratio": 1.2317880794701987, "no_speech_prob": 0.0, "words": [{"start": 3261.43, "end": 3262.57, "word": "تمام؟", "probability": 0.6052449544270834}, {"start": 3262.57, "end": 3262.91, "word": " لو", "probability": 0.94970703125}, {"start": 3262.91, "end": 3263.63, "word": " حطيت", "probability": 0.9685872395833334}, {"start": 3263.63, "end": 3264.37, "word": " EO6", "probability": 0.695068359375}, {"start": 3264.37, "end": 3265.55, "word": " بvariable", "probability": 0.779296875}, {"start": 3265.55, "end": 3267.17, "word": " وليكن", "probability": 0.75732421875}, {"start": 3267.17, "end": 3267.79, "word": " T", "probability": 0.90087890625}, {"start": 3267.79, "end": 3268.79, "word": " تساوي", "probability": 0.8079833984375}, {"start": 3268.79, "end": 3269.73, "word": " EO6", "probability": 0.9855143229166666}, {"start": 3269.73, "end": 3270.71, "word": " يبقى", "probability": 0.9361572265625}, {"start": 3270.71, "end": 3271.41, "word": " DT", "probability": 0.936279296875}, {"start": 3271.41, "end": 3272.95, "word": " بEO6", "probability": 0.7276204427083334}, {"start": 3272.95, "end": 3273.69, "word": " DX", "probability": 0.6640625}, {"start": 3273.69, "end": 3274.59, "word": " إذا", "probability": 0.5989990234375}, {"start": 3274.59, "end": 3275.19, "word": " قالت", "probability": 0.6158040364583334}, {"start": 3275.19, "end": 3276.09, "word": " المسألة", "probability": 0.9871826171875}, {"start": 3276.09, "end": 3277.37, "word": " الاتنين", "probability": 0.76715087890625}, {"start": 3277.37, "end": 3278.87, "word": " تكامل", "probability": 0.979248046875}, {"start": 3278.87, "end": 3280.27, "word": " DT", "probability": 0.93994140625}, {"start": 3280.27, "end": 3281.03, "word": " على", "probability": 0.64990234375}, {"start": 3281.03, "end": 3281.25, "word": " T", "probability": 0.90380859375}, {"start": 3281.25, "end": 3281.79, "word": " تربية", "probability": 0.8409830729166666}, {"start": 3281.79, "end": 3282.45, "word": " زائد", "probability": 0.880859375}, {"start": 3282.45, "end": 3283.09, "word": " واحد", "probability": 0.96044921875}], "temperature": 1.0}, {"id": 139, "seek": 329781, "start": 3283.45, "end": 3297.81, "text": "اللي هو اتنين تان inverse T زائد constant C يبقى اتنين تان inverse U of X زائد constant C يعطيك العافية", "tokens": [6027, 20292, 31439, 1975, 2655, 1863, 9957, 6055, 7649, 17340, 314, 30767, 16373, 3215, 5754, 383, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 6055, 7649, 17340, 624, 295, 1783, 30767, 16373, 3215, 5754, 383, 37495, 9566, 1829, 4117, 18863, 31845, 10632], "avg_logprob": -0.24436774641968484, "compression_ratio": 1.4056603773584906, "no_speech_prob": 0.0, "words": [{"start": 3283.45, "end": 3283.97, "word": "اللي", "probability": 0.3111572265625}, {"start": 3283.97, "end": 3284.41, "word": " هو", "probability": 0.9482421875}, {"start": 3284.41, "end": 3285.83, "word": " اتنين", "probability": 0.9007568359375}, {"start": 3285.83, "end": 3286.77, "word": " تان", "probability": 0.954345703125}, {"start": 3286.77, "end": 3287.49, "word": " inverse", "probability": 0.697265625}, {"start": 3287.49, "end": 3287.93, "word": " T", "probability": 0.62646484375}, {"start": 3287.93, "end": 3288.41, "word": " زائد", "probability": 0.7172037760416666}, {"start": 3288.41, "end": 3288.89, "word": " constant", "probability": 0.5576171875}, {"start": 3288.89, "end": 3289.55, "word": " C", "probability": 0.94384765625}, {"start": 3289.55, "end": 3290.57, "word": " يبقى", "probability": 0.9588623046875}, {"start": 3290.57, "end": 3291.35, "word": " اتنين", "probability": 0.9771728515625}, {"start": 3291.35, "end": 3292.33, "word": " تان", "probability": 0.985595703125}, {"start": 3292.33, "end": 3293.31, "word": " inverse", "probability": 0.89208984375}, {"start": 3293.31, "end": 3293.97, "word": " U", "probability": 0.646484375}, {"start": 3293.97, "end": 3294.31, "word": " of", "probability": 0.167236328125}, {"start": 3294.31, "end": 3294.77, "word": " X", "probability": 0.5517578125}, {"start": 3294.77, "end": 3295.95, "word": " زائد", "probability": 0.9689127604166666}, {"start": 3295.95, "end": 3296.47, "word": " constant", "probability": 0.92626953125}, {"start": 3296.47, "end": 3296.91, "word": " C", "probability": 0.9521484375}, {"start": 3296.91, "end": 3297.31, "word": " يعطيك", "probability": 0.8907470703125}, {"start": 3297.31, "end": 3297.81, "word": " العافية", "probability": 0.9168294270833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3298.9055, "duration_after_vad": 3192.0097187499923}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/RYqeweOZGPs.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/RYqeweOZGPs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e8e26f537abb80d862deed911d3b56c569de8dd0
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/RYqeweOZGPs.srt
@@ -0,0 +1,2039 @@
+1
+00:00:10,220 --> 00:00:14,340
+بسم الله الرحمن الرحيم لنرجع لل section اللي
+
+2
+00:00:14,340 --> 00:00:17,120
+ابتدأنا فيه المرة الماضية وهو ال trigonometric
+
+3
+00:00:17,120 --> 00:00:23,380
+substitutionوقلنا إننا نأخذ الطريقة الثانية من طرف
+
+4
+00:00:23,380 --> 00:00:29,400
+التكامل وهي التعويض بدالة مثلثية قلنا إذا لدينا جذر
+
+5
+00:00:29,400 --> 00:00:34,500
+على شكل A تربيع ناقص X تربيع تحت الجذر أو A تربيع
+
+6
+00:00:34,500 --> 00:00:40,800
+ناقص X تربيع مرفوعة لأس معين التعويض بـ A sin θ و θ ما
+
+7
+00:00:40,800 --> 00:00:45,760
+بين سالب باي على 2 إلى باي على 2 وإذا كان لتحت
+
+8
+00:00:45,760 --> 00:00:52,280
+الجذر A تربيع زائد X تربيع تعويضه بـ A tan θ
+
+9
+00:00:52,280 --> 00:00:56,380
+و θ ما بين سالب باي على 2 إلى باي على 2 ك open
+
+10
+00:00:56,380 --> 00:01:01,000
+interval لكن في حالة الـ sin ك closed interval وإذا
+
+11
+00:01:01,000 --> 00:01:05,520
+كان الجذر X تربيع ناقص A تربيع
+
+12
+00:01:05,520 --> 00:01:10,940
+عن الإشارة السالبة للثابت وليست للمتغير فالتعويض بـ
+
+13
+00:01:10,940 --> 00:01:15,540
+X يساوي A sec θ و θ محصورة ما بين الـ zero والـ
+
+14
+00:01:15,540 --> 00:01:19,060
+pi على 2 من عند الـ zero مغلقة ومن عند الـ pi
+
+15
+00:01:19,060 --> 00:01:22,280
+على 2 مفتوحة يبقى هذا اللي تعرضنا له المرة
+
+16
+00:01:22,280 --> 00:01:26,780
+الماضية ورسمنا المثلث في كل حالة وابتدأنا إن أنا
+
+17
+00:01:26,780 --> 00:01:30,520
+آخذ مثل لو أخذنا مثلاً واحداً وهذا اللي قدامنا مثال
+
+18
+00:01:30,520 --> 00:01:35,460
+رقم تمام واضح أنه ما عنديش جذر بس عندي قوس والقوس
+
+19
+00:01:35,460 --> 00:01:39,140
+مرفوع لأس واحد 2 3 10 جد ما يكون هنا
+
+20
+00:01:39,140 --> 00:01:43,370
+الحمد لله لأس بس واحد يبقى بدنا نيجي نحل الهدف
+
+21
+00:01:43,370 --> 00:01:48,570
+بطريقة Trigonometric Substitution بقوله قوس يبقى
+
+22
+00:01:48,570 --> 00:01:52,250
+احنا عندنا X تربيع زائد 4 الإشارة هنا داخل القوس
+
+23
+00:01:52,250 --> 00:01:57,410
+عبارة عن زائد يبقى التعويض بدلالة tan θ إذا
+
+24
+00:01:57,410 --> 00:02:05,130
+بدنا نقوله هنا حط للـ X يساوي 2 tan θ و θ
+
+25
+00:02:05,130 --> 00:02:11,350
+أكبر من سالب باي على 2 وأقل من باي على 2
+
+26
+00:02:11,350 --> 00:02:18,610
+بدنا نجيب DX كمان يبقى بـ 2 sec تربيع θ
+
+27
+00:02:18,610 --> 00:02:24,690
+في d θ إذا نقلت المسألة إلى الشكل التالي الـ DX
+
+28
+00:02:24,690 --> 00:02:30,490
+اللي هي بـ 2 sec تربيع θ d θ على X تكعيب
+
+29
+00:02:30,490 --> 00:02:37,490
+بدنا نكعب هذا المقدار يبقى 8 tan تكعيب θ
+
+30
+00:02:37,490 --> 00:02:42,730
+وافتح قوس الـ X تربيع بدنا نربعها يبقى 4 tan
+
+31
+00:02:42,730 --> 00:02:48,570
+تربيع θ زائد 4 يبقى المثلث بدل ما كانت
+
+32
+00:02:48,570 --> 00:02:53,630
+بدلالة X حولتها كلها بدلالة θ بدلالة θ يبقى
+
+33
+00:02:53,630 --> 00:02:59,530
+أصبحت المثلث على الشكل التالي هي تكامل عندي في البسط
+
+34
+00:02:59,530 --> 00:03:05,170
+هي 2 على طلع لي هنا 4 مع 4 تقلع برا
+
+35
+00:03:05,170 --> 00:03:11,990
+4 في 8 يبقى هي الـ 4 في 8 بالشكل
+
+36
+00:03:11,990 --> 00:03:21,900
+اللي عندنا 4 في 8 البلادنا مين؟ البلادنا tan
+
+37
+00:03:21,900 --> 00:03:25,640
+تكعيب θ و البلادنا tan تكعيب θ و 1 زائد tan
+
+38
+00:03:25,640 --> 00:03:34,080
+تربيع θ لمين؟ بـ sec تربيع θ و d θ فوق هذه لو
+
+39
+00:03:34,080 --> 00:03:41,240
+جينا اختصرناها بيظل 1 على 16 في تكامل sec
+
+40
+00:03:41,240 --> 00:03:47,000
+تربيع θ تروح مع الـ sec تربيع ويبقى عندنا ايه؟ 1
+
+41
+00:03:47,000 --> 00:03:52,160
+على tan تكعيب θ الـ tan مقلوب من cot يبقى 1 على
+
+42
+00:03:52,160 --> 00:04:00,490
+tan تكعيب هي cot تكعيب θ في d θ يبقى تحولت
+
+43
+00:04:00,490 --> 00:04:05,790
+مسألتي بدل ما هي بدلالة X بدلالة θ واصلت مسألتي
+
+44
+00:04:05,790 --> 00:04:11,970
+كلها cot تكعيب θ هذا الشغل كنا نشتغله في Calculus
+
+45
+00:04:11,970 --> 00:04:17,850
+A وليس في Calculus B كنا في Calculus A بنقول cot
+
+46
+00:04:17,850 --> 00:04:25,850
+تربيع θ في cot θ في d θ بعد ذلك 1 على
+
+47
+00:04:25,850 --> 00:04:32,190
+16 تكامل الـ cot بروح أكتبه بدلالة الـ cosecant
+
+48
+00:04:32,190 --> 00:04:40,190
+يبقى cosec تربيع θ ناقص 1 في cot θ في
+
+49
+00:04:40,190 --> 00:04:47,390
+d θ لو فكينا هذه بيصير 1 على 16 تكامل
+
+50
+00:04:47,390 --> 00:04:55,970
+لـ cosec تربيع θ cot θ في d θ ناقص cot
+
+51
+00:04:55,970 --> 00:05:02,210
+θ كل هذا الكلام بالنسبة لمن؟ بالنسبة إلى d
+
+52
+00:05:02,210 --> 00:05:09,510
+θ أو إن شئتم cot d θ بدون d θ هنا فكيت
+
+53
+00:05:09,510 --> 00:05:14,810
+بس القصة هاي d θ للكل برا طبعاً؟ يبقى هذه لا
+
+54
+00:05:14,810 --> 00:05:21,130
+وجود لها هنا طبعاً؟
+
+55
+00:05:21,650 --> 00:05:27,570
+يبقى هذا الكلام بده يساوي 1 على 16 فيه
+
+56
+00:05:27,570 --> 00:05:33,250
+تكامل ممكن أوزع الآن التكامل للاتنين الكثير كانت
+
+57
+00:05:33,250 --> 00:05:39,780
+تربيع هي مشتقة مين؟ cot يعني هذه الـ cos كانت تربيع
+
+58
+00:05:39,780 --> 00:05:45,580
+θ مع الـ d θ هذه ممكن أشيل وأكتب بدلها
+
+59
+00:05:45,580 --> 00:05:51,900
+لومين d cot بس تفهموا cot بالسالب cos كانت
+
+60
+00:05:51,900 --> 00:05:57,280
+تربيع معناته بدي إشارة من كمان بدي إشارة سالب يبقى
+
+61
+00:05:57,280 --> 00:06:06,280
+هذه السالب cot θ مشتقة cot θ وكأنه
+
+62
+00:06:06,280 --> 00:06:11,260
+احنا صرنا بدنا الكائن كامل بالنسبة لمن؟ بالنسبة
+
+63
+00:06:11,260 --> 00:06:17,140
+لـ cot θ هذا الجزء الأول وصلنا للناقص هذه
+
+64
+00:06:17,140 --> 00:06:22,520
+بجهزها ناقص 1 على 16 وهي تكامل الـ cot هي
+
+65
+00:06:22,520 --> 00:06:28,120
+عبارة عن cos θ على sin θ d θ بس بكتبها
+
+66
+00:06:28,120 --> 00:06:31,930
+للي ناسي أما الأصل اللي حط لك على طول لأن أول ما
+
+67
+00:06:31,930 --> 00:06:35,870
+قدرنا الـ chapter كتبنا لك جداش تكامل الـ cot اللي
+
+68
+00:06:35,870 --> 00:06:41,190
+عنها ده يبقى هذا الكلام يساوي سالب 1 على 16
+
+69
+00:06:41,190 --> 00:06:49,570
+وهذه جداش cot تربيع θ على 2 ناقص 1
+
+70
+00:06:49,570 --> 00:06:56,210
+على 16 لين absolute value لـ sin θ زائد
+
+71
+00:06:56,210 --> 00:07:01,380
+constant C طب استنى شوية المثلث في الأساس بدلالة الـ
+
+72
+00:07:01,380 --> 00:07:05,560
+X وأنت طلعتها لي بدلالة مين؟ بدلالة الـ θ ايه؟
+
+73
+00:07:05,560 --> 00:07:10,600
+أنت بتحول مثلثك كلها بدلالة مين؟ بدلالة الـ X بنجي
+
+74
+00:07:10,600 --> 00:07:19,140
+على هذه الأساسية وبنجي من قول هذه تعني إن tan θ
+
+75
+00:07:19,140 --> 00:07:24,460
+بدها تساوي الـ X على مين؟ على الـ 2 إذا لو روحنا و
+
+76
+00:07:24,460 --> 00:07:29,220
+رسمنا المثلث بالشكل اللي عندنا هذا وقلنا هذه
+
+77
+00:07:29,220 --> 00:07:34,310
+الزاوية θ وهذه الزاوية القائمة الظل يساوي
+
+78
+00:07:34,310 --> 00:07:40,610
+المقابل على المجاور يبقى هذا X وهذا 2 وهذا الجذر
+
+79
+00:07:40,610 --> 00:07:49,210
+تربيع لـ X تربيع زائد 4 حسب نظرية فيثاغورس يبقى
+
+80
+00:07:49,210 --> 00:07:53,970
+هذا الكلام يساوي سالب 1 على 16 في 2
+
+81
+00:07:53,970 --> 00:07:59,030
+بـ 2 و 32 يبقى 32
+
+82
+00:08:01,090 --> 00:08:08,510
+بالله الـ cot في تلك cot المجاور على المقابل يعني
+
+83
+00:08:08,510 --> 00:08:16,150
+2 على X الكل تربيع هذه خلاصنا من هذه نجي
+
+84
+00:08:16,150 --> 00:08:26,050
+لبعدها ناقص 1 على 16 ونجي لإن absolute
+
+85
+00:08:26,050 --> 00:08:30,350
+value للـ sin θ الـ sin θ يساوي بالمقابل على
+
+86
+00:08:30,350 --> 00:08:35,590
+الوتر يبقى الـ X على الجذر التربيعي لـ X تربيع
+
+87
+00:08:35,590 --> 00:08:42,630
+زائد 4 زائد كونستانت C هذه لو ربعناها بيصير
+
+88
+00:08:42,630 --> 00:08:49,800
+4 مع 32 بيصير قداش؟ سالب 32 في 1
+
+89
+00:08:49,800 --> 00:08:55,860
+على X تربيع هذه اختصارات ما فيهاش ناقص 1 على
+
+90
+00:08:55,860 --> 00:09:01,920
+16 لين absolute value X على اللي هو الجذر
+
+91
+00:09:01,920 --> 00:09:08,840
+التربيعي اللي هو X تربيع زائد 4 زائد 4 و
+
+92
+00:09:08,840 --> 00:09:16,500
+هنا زائد constant C يبقى التعويض بتاع كاملة على شكل
+
+93
+00:09:16,500 --> 00:09:23,440
+الإشارة داخل القوس أو تحت الجذر المثال رقم 3
+
+94
+00:09:23,440 --> 00:09:32,620
+بدنا تكامل للجذر التربيعي لـ 5 X تربيع ناقص 9
+
+95
+00:09:32,620 --> 00:09:41,920
+على X كله بالنسبة إلى d X بنروح للمثال رقم 3
+
+96
+00:09:41,920 --> 00:09:48,500
+فلاحظنا عندي الجذر بس لأول مرة بيجابلنا شغلة زي كده مش
+
+97
+00:09:48,500 --> 00:09:55,060
+X تربيعها وإنما الرقم مضروب في من؟ في الـ X بسيطة
+
+98
+00:09:55,060 --> 00:09:59,820
+ممكن هذا الرقم ياخذه برا عامل مشترك ويطلع برا خالص
+
+99
+00:09:59,820 --> 00:10:05,530
+وممكن يخليه زي ما هو ما معناهاش مشكلة يعني ممكن آخذه
+
+100
+00:10:05,530 --> 00:10:11,350
+برا عامل مشترك وممكن أخليه جوا خليه جذر 5 X
+
+101
+00:10:11,350 --> 00:10:16,350
+كل تربيع سياسية عملت هيك والله هيك بتفرجش عنا
+
+102
+00:10:16,350 --> 00:10:22,530
+يعني قدامي خيارين يا بأخذ 5 بطلعها برا الجذر
+
+103
+00:10:22,530 --> 00:10:27,570
+تطلع بجذر 5 عامل مشترك برا خالص بالمرة يا بقول
+
+104
+00:10:27,570 --> 00:10:33,240
+جذر 5 مضروبة في X كل تربيع هو عبارة عن هذا
+
+105
+00:10:33,240 --> 00:10:38,020
+المقدار هيك والله هيك سياق للاثنين نفس الشيء
+
+106
+00:10:38,020 --> 00:10:44,690
+فمثلاً لو جيت قلت هذه تكامل تحب إن تبقى الـ 5 جذر
+
+107
+00:10:44,690 --> 00:10:52,090
+الـ 5 أو جذر الـ 5 X لكل تربيع؟ برا برا برا
+
+108
+00:10:52,090 --> 00:10:53,190
+برا برا برا برا برا برا برا برا برا برا برا
+
+109
+00:10:53,190 --> 00:10:53,410
+برا برا برا برا برا برا برا برا برا برا برا
+
+110
+00:10:53,410 --> 00:10:53,430
+برا برا برا برا برا برا برا برا برا برا برا
+
+111
+00:10:53,430 --> 00:10:54,230
+برا برا برا برا برا برا برا برا برا برا برا
+
+112
+00:10:54,230 --> 00:10:58,710
+برا برا برا برا برا برا برا برا برا برا برا
+
+113
+00:10:58,710 --> 00:11:00,510
+برا برا برا برا برا برا برا برا برا برا برا
+
+114
+00:11:00,510 --> 00:11:04,370
+برا برا برا برا برا برا ب
+
+115
+00:11:08,470 --> 00:11:13,350
+يبقى يا جذر 5 خليك برا على الهياد الإيجابي وعدم
+
+116
+00:11:13,350 --> 00:11:18,210
+الانحياز نجي لما قال الباقي شو ضال عندي؟ ضال عندي
+
+117
+00:11:18,210 --> 00:11:24,810
+الجذر التربيعي لـ X تربيع ناقص 9 على 5 كله على X
+
+118
+00:11:24,810 --> 00:11:26,430
+في الـ DX
+
+119
+00:11:28,410 --> 00:11:32,390
+نجي نطلع للإشارة تحت الجذر الإشارة تحت الجذر
+
+120
+00:11:32,390 --> 00:11:38,630
+بمين؟ بالسالب السالب للمتغير ولا للثابت؟ للثابت
+
+121
+00:11:38,630 --> 00:11:44,910
+يبقى تعويضه بدلالة sec θ إذا بدك تقولي حط الـ X
+
+122
+00:11:44,910 --> 00:11:52,030
+يساوي الـ A اللي هي 3 على جذر 5 في sec θ
+
+123
+00:11:53,570 --> 00:12:00,150
+والـ θ هذه محصورة ما بين الصفر وما بين الـ pi على
+
+124
+00:12:00,150 --> 00:12:07,570
+2 بلزمنا هنا DX إذا هضطر أشتق هذه إذا لو جينا
+
+125
+00:12:07,570 --> 00:12:15,590
+أشتقينا هذه بصير الـ DX بدها تساوي 3 على جذر 5
+
+126
+00:12:15,590 --> 00:12:24,420
+آه وتفاضل ب 6 ثيتا 10 ثيتا في d ثيتا يبقى آلة
+
+127
+00:12:24,420 --> 00:12:29,000
+المسألة إلى الشكل التالي جذر خمسة ما لكش دعوة Y
+
+128
+00:12:29,000 --> 00:12:35,440
+تكامل Y الجذر التربيعي X تربيع بدنا نربع هذه يبقى
+
+129
+00:12:35,440 --> 00:12:41,900
+تسعة على خمسة sec تربيع يبقى تسعة على خمسة في sec
+
+130
+00:12:41,900 --> 00:12:49,550
+تربيع ثيتا ناقص تسعة على خمسة كله على X اللي في
+
+131
+00:12:49,550 --> 00:12:56,470
+المقام اللي هي 3 على جذر خمسة 3 على جذر
+
+132
+00:12:56,470 --> 00:13:03,890
+خمسة في sec الزاوية ثيتا في DX DX اللي هي 3 على 
+
+133
+00:13:03,890 --> 00:13:09,190
+جذر خمسة sec ثيتا tan ثيتا في DX
+
+134
+00:13:12,380 --> 00:13:17,620
+طيب نبدأ نختصر الاختصارات 3 على جذر خمسة مع
+
+135
+00:13:17,620 --> 00:13:23,660
+3 على جذر خمسة sec مع sec الله يسهل عليها من هنا
+
+136
+00:13:23,660 --> 00:13:29,900
+نطلع 9 على 5 برا الجذر بتطلع 3 على جذر
+
+137
+00:13:29,900 --> 00:13:36,700
+خمسة وعندك هنا جذر خمسة يبقى يساوي هي جذر خمسة لبرا
+
+138
+00:13:36,700 --> 00:13:44,200
+وهي 3 على الجذر خمسة وهي تكامل 9 أخماس مع
+
+139
+00:13:44,200 --> 00:13:49,400
+9 أخماس أخذناها برا الجذر 3 على الجذر خمسة
+
+140
+00:13:49,400 --> 00:13:54,160
+بظل ال sec بيناقص 1 ليه بقدرش؟ ال sec
+
+141
+00:13:54,160 --> 00:14:02,120
+بيطلع من تحت الجذر بتاني يبقى هاي tan ثيتا و برا
+
+142
+00:14:02,120 --> 00:14:08,340
+طايل عندي جداش tan ثيتا دي ثيتا والباقي كله
+
+143
+00:14:08,340 --> 00:14:14,620
+انتهينا منهتمام؟ يبقى النتيجة يساوي جذر بساوي
+
+144
+00:14:14,620 --> 00:14:21,900
+3 طبعا جذر خمسة مع جذر خمسة وهذه تكامل tan في
+
+145
+00:14:21,900 --> 00:14:26,960
+tan tan تربيع ما أعرفش كمانها لكن لو حاولت بدلت ال
+
+146
+00:14:26,960 --> 00:14:31,940
+sec تربيع تتكامل على طول يبقى هذه عبارة عن sec
+
+147
+00:14:31,940 --> 00:14:39,490
+تربيع ثيتا ناقص 1 دي ثيتا يبقى 3 tan ثيتا
+
+148
+00:14:39,490 --> 00:14:46,850
+ناقص 3 ثيتا زائد constant C المثل بدأت بدلالة
+
+149
+00:14:46,850 --> 00:14:51,750
+ال X بدك تنهيها بدلالة ال X يبقى بدأ أرجع ثيتا دي
+
+150
+00:14:51,750 --> 00:14:58,270
+بدلالة X بدلالة X لذلك بدنا نيجي على هذه التعويضة
+
+151
+00:14:58,270 --> 00:15:04,710
+اللي استخدمناها وبدأ أجيب منها sec ثيتا ف sec ثيتا
+
+152
+00:15:04,710 --> 00:15:12,150
+عندك هنا بيده يساوي اللي هو جذر خمسة X على 3
+
+153
+00:15:12,150 --> 00:15:21,110
+جذر خمسة X كله على مين؟ على 3 ولو رسمنا المثلث
+
+154
+00:15:21,110 --> 00:15:25,610
+بالشكل أن هذا هي ثيتا وهي الزاوية القايمة ال sec
+
+155
+00:15:25,610 --> 00:15:32,350
+يساوي الوتر على المجاور يبقى ال water جذر خمسة X
+
+156
+00:15:32,350 --> 00:15:39,270
+والمجاور 3 وحسب في فيثاغورث الضلع الثالث 5 X
+
+157
+00:15:39,270 --> 00:15:48,690
+تربيع ناقص 9 إذا هذه صارت 3 في tan ثيتا
+
+158
+00:15:48,690 --> 00:15:54,030
+يبقى المقابل على المجاور يبقى الجذر التربيعي إلى
+
+159
+00:15:54,030 --> 00:16:00,310
+خمسة X تربيع ناقص 9 على المجاور اللي هو 3
+
+160
+00:16:00,310 --> 00:16:12,350
+وهنا عندك ناقص 3 sec inverse جذر
+
+161
+00:16:12,350 --> 00:16:20,050
+خمسة X كلها 3 زائد كل أسطن سي ويساوي 3
+
+162
+00:16:20,050 --> 00:16:24,250
+مع 3 الله يسهل عليها يبقى الإجابة النهائية ال
+
+163
+00:16:24,250 --> 00:16:25,750
+square root
+
+164
+00:16:43,840 --> 00:16:54,080
+الرابع السؤال الرابع بيقول يتكامل لل X tan inverse
+
+165
+00:16:54,080 --> 00:17:02,200
+X على 1 زائد X تربيع قوس 3 على 2 كله في
+
+166
+00:17:02,200 --> 00:17:02,580
+DX
+
+167
+00:17:17,640 --> 00:17:22,500
+والله ليه كويس هنا للسؤال الرابع السؤال الرابع مرة
+
+168
+00:17:22,500 --> 00:17:28,600
+جيبناه في إحدى الامتحانات والسبب لإنه بيستاهل يكون
+
+169
+00:17:28,600 --> 00:17:36,600
+سؤال امتحان لماذا هذا ما ستعرفونه بعد قليل باختصار
+
+170
+00:17:36,600 --> 00:17:42,000
+هيك يعني نستخدم أكثر من طريقة من طرق التكامل اللي
+
+171
+00:17:42,000 --> 00:17:47,490
+اتعلمناها لحل هذا السؤال يبقى بمجرد النظر هل
+
+172
+00:17:47,490 --> 00:17:53,170
+التكامل هذا يحتوي على جذر تربيعي؟ كيف يا عزيزي؟
+
+173
+00:17:53,170 --> 00:17:57,290
+خليه، شو هو 3 على 2؟ يعني الجذر التربيعي
+
+174
+00:17:57,290 --> 00:18:01,070
+للجوز تكعيب، مظبوط ولا لأ؟ إذن يحتوي على الجذر
+
+175
+00:18:01,070 --> 00:18:05,110
+التربيعي، يبقى أول ما أفكر بدأ أتخلص من الجذر
+
+176
+00:18:05,110 --> 00:18:10,530
+التربيعي، يبقى الجذر التربيعي هنا إشارة موجبة بيبقى
+
+177
+00:18:10,530 --> 00:18:16,550
+ال X هي بدلالة ال tan ثيتا يبقى باجي بقوله حط لل X
+
+178
+00:18:16,550 --> 00:18:23,630
+تساوي tan ثيتا فقط لا غير و ثيتا أكبر من سالب باي
+
+179
+00:18:23,630 --> 00:18:29,580
+على 2 وأقل من مين؟ من باي على 2 يبقى هذا
+
+180
+00:18:29,580 --> 00:18:35,640
+الكلام يستوي تكامل ال X هي عبارة عن tan θ و هذه
+
+181
+00:18:35,640 --> 00:18:44,340
+tan inverse ل tan θ و ال DX اللي عبارة عن sec
+
+182
+00:18:44,340 --> 00:18:51,280
+تربيع θ في dθ يبقى sec تربيع θ في dθ انتهينا من
+
+183
+00:18:52,930 --> 00:18:56,990
+البسط أو ال numerator نيجي للمقام اللي هو ال
+
+184
+00:18:56,990 --> 00:19:02,390
+denominator 1 زائد ال X تربيع اللي هي عبارة عن
+
+185
+00:19:02,390 --> 00:19:09,630
+tan تربيع ثيتا كله أس 3 على 2 يبقى هذا
+
+186
+00:19:09,630 --> 00:19:16,070
+الكلام بده يساوي تكامل tan inverse ل tan ثيتا جداش بده
+
+187
+00:19:16,070 --> 00:19:19,270
+يعطينا .. لما تيتا تبقى محصورة في الفترة هذه
+
+188
+00:19:19,270 --> 00:19:26,230
+بيعطينا θ فقط، ما غير إذا صار هذا θ في tan
+
+189
+00:19:26,230 --> 00:19:33,690
+ثيتا وعندنا هنا sec تربيع ثيتا على طلع لي هنا 1
+
+190
+00:19:33,690 --> 00:19:40,810
+زي ال tan تربيع sec تربيع قوس 3 على 2 جداش؟
+
+191
+00:19:40,810 --> 00:19:51,150
+sec تكعيب ثيتا وكله في d ثيتا نختصر ال sec تربيع مع
+
+192
+00:19:51,150 --> 00:19:57,870
+ال sec تربيع من المقام بصير θ tan θ كله قوس
+
+193
+00:19:57,870 --> 00:20:06,470
+على sec θ في dθ فنشوف لوين وصلتنا هذه تكامل
+
+194
+00:20:06,470 --> 00:20:14,290
+ل θ في ال tan بيبقى sin θ
+
+195
+00:20:14,290 --> 00:20:21,850
+على cos θ وال sec مخلوق من ال cos يبقى في cos
+
+196
+00:20:21,850 --> 00:20:28,190
+θ في dθ cos مع cos الله يسهل عليها يبقى آلة
+
+197
+00:20:28,190 --> 00:20:33,990
+المسألة يتكامل θ sin θ dθ
+
+198
+00:20:37,680 --> 00:20:42,800
+Integration by parts من هنا بيستاهل يكون سؤال امتحان
+
+199
+00:20:42,800 --> 00:20:47,060
+لو في كمان كلام تاني مش هجد هيك يبقى بكون استخدام
+
+200
+00:20:47,060 --> 00:20:52,360
+طريقتين من طرق التكامل في حل هذا المثال الطريقة
+
+201
+00:20:52,360 --> 00:20:55,620
+الأولى is trigonometric substitution الطريقة
+
+202
+00:20:55,620 --> 00:20:59,550
+الثانية integration by parts مش integration by
+
+203
+00:20:59,550 --> 00:21:04,130
+parts لأ الجدول تبع integration by parts الست علاء
+
+204
+00:21:04,130 --> 00:21:08,510
+اللي ذكرناهم هذه عبارة عن ايه؟ عن واحدة فيهم، إذا
+
+205
+00:21:08,510 --> 00:21:14,280
+باجي بقوله بتاخد هنا ال derivatives و بتاخد هنا ال
+
+206
+00:21:14,280 --> 00:21:21,220
+integrals ل derivative θ sin θ تفاضلها
+
+207
+00:21:21,220 --> 00:21:26,560
+ب 1 تكملها بسالب cos θ تفاضلها ب 0
+
+208
+00:21:26,560 --> 00:21:32,280
+تكملها بسالب sin θ هدف هدف الموجب هذا في هدف
+
+209
+00:21:32,280 --> 00:21:39,640
+السالب، إذا قالت لك المسألة إلى سالب θ cos θ
+
+210
+00:21:39,640 --> 00:21:48,970
+زائد sin θ زائد constant C يبقى باركتين، الأولى
+
+211
+00:21:48,970 --> 00:21:53,050
+ال trigonometric Substitution وصلتني إلى
+
+212
+00:21:53,050 --> 00:21:57,610
+Integration By Parts هذه من الستة المشهورات، روحنا
+
+213
+00:21:57,610 --> 00:22:02,510
+عملنا لها الجدول، كتبنا النتيجة بعد هيك بدأت أنت
+
+214
+00:22:02,510 --> 00:22:07,920
+بال X، بدك ترجع لمين؟ تكتب مسألتك بدلالة ال X إذا
+
+215
+00:22:07,920 --> 00:22:14,440
+برجع لتعويض تابعتي هذه يبقى هاي التعويض تابعتنا
+
+216
+00:22:14,440 --> 00:22:20,520
+اللي بتقول tan θ بدها تساوي جذر X إذا بدنا نروح
+
+217
+00:22:20,520 --> 00:22:26,580
+نرسم له المثلث هذا المثلث وهذا الزاوية θ وهذا
+
+218
+00:22:26,580 --> 00:22:32,450
+الزاوية القاعدة أو الظل يساوي المقابل على المجاور
+
+219
+00:22:32,450 --> 00:22:40,910
+حسب فيثاغورث هذا 1 زائد X تربيع طيب كده صارت
+
+220
+00:22:40,910 --> 00:22:47,430
+المسألة ناقص θ من هنا عبارة عن إيش يا شباب يعني
+
+221
+00:22:47,430 --> 00:22:52,050
+العبارة المكافية لهذه العبارة هي θ تسمي tan
+
+222
+00:22:52,050 --> 00:23:00,000
+inverse X كده صار هنا tan inverse X يجي لكوا sin θ
+
+223
+00:23:00,000 --> 00:23:06,160
+المجاور على ال water يبقى على الجذر التربيعي إلى
+
+224
+00:23:06,160 --> 00:23:13,000
+1 زائد x تربيع زائد sin θ اللي هو المقابل على
+
+225
+00:23:13,000 --> 00:23:17,760
+ال water يبقى زائد x على الجذر التربيعي إلى 1
+
+226
+00:23:17,760 --> 00:23:24,210
+زائد x تربيع زائد constant C يبقى راجعنا استخدمنا
+
+227
+00:23:24,210 --> 00:23:28,330
+من قانون ال inverse trigonometric functions يبقى
+
+228
+00:23:28,330 --> 00:23:34,150
+جيبنا تلت شغلات في تكامل واحد وبيستاهل يكون سؤال
+
+229
+00:23:34,150 --> 00:23:42,010
+امتحان للطالب المتميز آه يعني هذا قصدنا نخصبوا
+
+230
+00:23:42,010 --> 00:23:45,310
+الطلاب اللي هم بيجتهدوا وبيشتغلوا وبيفرجوا على
+
+231
+00:23:45,310 --> 00:23:51,170
+الطلاب العادي تفضل تربيع مثل ال W متغير اشتغلناها
+
+232
+00:23:51,170 --> 00:23:58,430
+بتروح ال X وبعدين نفخناها فوق و ضيعنا
+
+233
+00:23:58,430 --> 00:24:03,290
+ال X وبعدين رفعناها فوق وكملناها بالأجزاء وكان
+
+234
+00:24:03,290 --> 00:24:07,450
+inverse نكتبها
+
+235
+00:24:07,450 --> 00:24:15,930
+اشتغلت معاك بأي طريقة تنشيط حل بس بده طريقة تبده
+
+236
+00:24:15,930 --> 00:24:16,810
+طريقة صحيحة
+
+237
+00:24:21,300 --> 00:24:28,600
+طب لكيف يفاجئنا ناخذ بأي طريقة صحيحة نحل نقلة
+
+238
+00:24:28,600 --> 00:24:33,000
+ما لها مشكلة وما لها أثر لكن لما كان موضوع
+
+239
+00:24:33,000 --> 00:24:37,460
+لموضوع trigonometric substitution حلنا حبينا نحل
+
+240
+00:24:37,460 --> 00:24:41,680
+بطريقة trigonometric substitution السؤال هو في
+
+241
+00:24:41,680 --> 00:24:46,570
+الامتحان بيحدد لنا الطريقة لأ بيقول لك و بيليوز اتقالب
+
+242
+00:24:46,570 --> 00:24:50,170
+انتاج وبيحط لك تكامل إن ثلاثة والله أربعة والله جد من كلهم بيقول لك حل و بس و أنت حل حالك
+
+243
+00:24:50,170 --> 00:24:53,990
+بالطريقة اللي بتعجبك يعني لا قيود عليك أثناء
+
+244
+00:24:53,990 --> 00:24:57,990
+الامتحان حل بالتكامل اللي بتعرفيه فضل التعويض اللي
+
+245
+00:24:57,990 --> 00:25:03,700
+تيجي معاها بتاعة ثانية تلاتة نعوض فيها ونص
+
+246
+00:25:03,700 --> 00:25:06,400
+التمارين لو تجينا تعويض مجانا trigonometric آه لا
+
+247
+00:25:06,400 --> 00:25:12,580
+يا صاحب أنت لغاية حبينا ما نفوتش لغاية 8.2
+
+248
+00:25:12,580 --> 00:25:18,140
+احنا بنتكلم بيه 8.2 وما ليش 8.3
+
+249
+00:25:18,140 --> 00:25:21,620
+ولا حتى 8.4 طبعا؟ أيوة في تكاملات 
+
+251
+00:25:32,880 --> 00:25:42,620
+طب مش ممكن نكملها بعد الطريقة؟ اللي اخذته قبل كله
+
+252
+00:25:42,620 --> 00:25:47,680
+بتقدر تستخدمه، مع إنك مشكلة بيها، بس اللي ماخدناش،
+
+253
+00:25:47,680 --> 00:25:51,170
+ماخدناش لسه قبل ما لسه صحيح ولا لا؟ لأن ما أخدتهوش
+
+254
+00:25:51,170 --> 00:25:56,330
+يبقى أن كل شغل اخذته قبل تمانية اتنين في شبطر
+
+255
+00:25:56,330 --> 00:26:00,550
+سبعة في شبطر تمانية استخدمها ولا واحد يستطيع أن 
+
+256
+00:26:00,550 --> 00:26:06,710
+يعترض عليك بكلمة واحد بس استخدام استخدام صحيح ماشي
+
+257
+00:26:06,710 --> 00:26:12,430
+طيب الآن بروح للسؤال اللي بعده هذا السؤال أربع وزي
+
+258
+00:26:12,430 --> 00:26:18,000
+ما انت شاف كلها أسئلة مباشرة ونشوف إيش رأيك في سؤال
+
+259
+00:26:18,000 --> 00:26:25,060
+خمسة خمسة برضه جيبناها في إحدى الامتحانات على EOSX
+
+260
+00:26:25,060 --> 00:26:30,520
+الجدرى التربية ل EOS2X-16
+
+261
+00:26:44,790 --> 00:26:51,910
+خلّي منك هذا السؤال برضه جيبناه في احد الامتحانات
+
+262
+00:26:51,910 --> 00:26:58,070
+السابقة، كويس؟ يعني ماعنديش X، ماعنديش X، لكن بدل
+
+263
+00:26:58,070 --> 00:27:03,700
+ال X شو هى؟ يبقى عندك تعرف اذا تحط ايه والسكس يساوي
+
+264
+00:27:03,700 --> 00:27:08,540
+كذا اذا احنا قادم عشان نتخلص من الجدر بيقولوا حطوا
+
+265
+00:27:08,540 --> 00:27:12,840
+ال ax يساوي كذا اللي هو مين ما يطلع يطلع يبقى لما
+
+266
+00:27:12,840 --> 00:27:19,010
+اجي اقول حط ال a والسكس يساوي بالإشارة بالسالب
+
+267
+00:27:19,010 --> 00:27:25,990
+والسالب للثابت يبقى التعويضة بدلالة six ممتاز يبقى
+
+268
+00:27:25,990 --> 00:27:32,470
+six ثيتا والثيتا هذه أكبر من أو تساوى zero أقل من
+
+269
+00:27:32,470 --> 00:27:38,010
+بي على اتنين نشتغل يبقى ال E و ال six في ال DX
+
+270
+00:27:38,010 --> 00:27:44,830
+يسوى six ثيتا ten ثيتا في دي ثيتا أنا ماعنديش في ال
+
+271
+00:27:44,830 --> 00:27:52,630
+بسط هنا Dx لحالة يبقى
+
+272
+00:27:52,630 --> 00:28:00,150
+هنا Dx بدها ساوي سك ثيتا تان ثيتا D ثيتا مقسومة
+
+273
+00:28:00,150 --> 00:28:05,750
+على مين على E والسكس لأ شباب E والسكس ساوية أربعة
+
+274
+00:28:05,750 --> 00:28:15,030
+أربعة يبقى هنا أربعة يبقى هنا أربعة تمام يبقى هذا
+
+275
+00:28:15,030 --> 00:28:21,550
+ال EO6 اللي هي على EO6، كويس؟ الان انا بدي اشيل
+
+276
+00:28:21,550 --> 00:28:28,010
+EO6، لابديش ثيتا و EO6، بدي ثيتا بس، EO6 هي فوق،
+
+277
+00:28:28,010 --> 00:28:34,330
+اذا بقدر اقول هذه اربع six theta, ten theta, d
+
+278
+00:28:34,330 --> 00:28:41,470
+theta مقسومة على EO6 هي اربع six theta أربعة سك
+
+279
+00:28:41,470 --> 00:28:46,830
+ثيتا مع أربعة سك ثيتا في درجة دياش تان ثيتا في دي
+
+280
+00:28:46,830 --> 00:28:53,190
+ثيتا إذا صارت مسألة هذه على الشكل التالف بدي أشيل
+
+281
+00:28:53,190 --> 00:28:58,240
+ال dx و أكتب مكانها اللي مذاكنين اللي أخدوا كالكلص
+
+282
+00:28:58,240 --> 00:29:03,020
+ايه جيبنا لهم في الامتحان سؤال زي هذا و لأول مرة
+
+283
+00:29:03,020 --> 00:29:06,060
+جيبناه فكان هذا للطالب الممتاز اللي هو سؤال
+
+284
+00:29:06,060 --> 00:29:10,600
+التكامل هذا البعض طبعا حلو والبعض ماعيش خبرة على
+
+285
+00:29:10,600 --> 00:29:15,740
+أي حال على نفس الفكرة هذه بالضبط تقسم مش ع رقم
+
+286
+00:29:15,740 --> 00:29:20,200
+تقسم على متغير و متغير انت فرضه فوق و يتم اختصارات
+
+287
+00:29:20,200 --> 00:29:26,500
+ايه؟ مع بعضهم على اي حال ال DX هي عبارة عن تان ثيتا
+
+288
+00:29:26,500 --> 00:29:32,440
+في دي ثيتا عليهم ال six اللي هي أربعة في six ثيتا
+
+289
+00:29:32,440 --> 00:29:39,260
+وهنا الجدري التربيعي لست عشر six تربية ثيتا ماقص
+
+290
+00:29:39,260 --> 00:29:45,860
+ستة عشر يبقى هذا الكلام بده يساوي تكامل هنا هذا
+
+291
+00:29:45,860 --> 00:29:53,010
+واحد برا 16 مع 16 تقلع من تحت الجدر و عندك أربع
+
+292
+00:29:53,010 --> 00:29:59,670
+يبقى واحد على ستاشر و في ال bus تان ثيتا في دي ثيتا
+
+293
+00:29:59,670 --> 00:30:07,310
+و المقام سيك ثيتا ابنجي سيك تربية ناقص واحد تان
+
+294
+00:30:07,310 --> 00:30:15,410
+تربية تقلع من تحت الجدر بتان يبقى تان ثيتا طيب تمام
+
+295
+00:30:15,410 --> 00:30:22,070
+اتمام الان ten theta مع ten theta فضل قداش واحد
+
+296
+00:30:22,070 --> 00:30:27,830
+على سك هيق مقلوب من cosine theta في دي فترة يبقى
+
+297
+00:30:27,830 --> 00:30:33,450
+السؤال اللي مكلك عقل شكل طوله بسيط خالص يبقى ده
+
+298
+00:30:33,450 --> 00:30:42,930
+واحد على ست عشر sine theta زائد constant C بنروح
+
+299
+00:30:42,930 --> 00:30:48,310
+نحسب الوصيلة ثيتا اللى عندنا هذا يا ابجبادي بقوله
+
+300
+00:30:48,310 --> 00:30:54,650
+احنا عندنا مين اللى هو six ثيتا بده يساوي ايه ال
+
+301
+00:30:54,650 --> 00:30:59,910
+six على قداش؟ على اربع اذا لو روحنا رسمنا المثلث
+
+302
+00:30:59,910 --> 00:31:04,770
+القائم الزاوية وقلنا هذه θ وهي الزاوية القناة سك
+
+303
+00:31:04,770 --> 00:31:11,470
+يساوي ال water على المجاور يبقى هذا الضلع التالت E
+
+304
+00:31:11,470 --> 00:31:19,490
+أس اثنين X ماقص ستاشر إذا بصير المسألة هذه تساوي
+
+305
+00:31:19,490 --> 00:31:25,960
+واحد على ستاشر Sin يساوي المقابل على ال water يبقى
+
+306
+00:31:25,960 --> 00:31:30,620
+المقابل اللي هو الجدر التربية ل E أس اتنين X ناقص
+
+307
+00:31:30,620 --> 00:31:36,400
+ستة عشر على ال water اللي هو E أس X زائد مين زائد
+
+308
+00:31:36,400 --> 00:31:44,520
+constant C السؤال السادس كمان في شغل من هذا القبيل
+
+309
+00:31:45,100 --> 00:31:53,960
+بيقول تكامل من واحد إلى إيه لإن ال X الكل تكيب على
+
+310
+00:31:53,960 --> 00:32:02,680
+X الجدري التربيعي لمين؟ لواحد زائد للتربيع ال X
+
+311
+00:32:02,680 --> 00:32:06,720
+وهذا كله مين؟ اللي هو DX
+
+312
+00:32:09,670 --> 00:32:14,210
+طلع ليه كويس المثلة، المثلة فيها جدر، الحمد لله
+
+313
+00:32:14,210 --> 00:32:20,910
+فيها جدر، جدر تربيعي، تمام؟ يبقى الإشارة تحت الجدر
+
+314
+00:32:20,910 --> 00:32:28,430
+بمين؟ بالموجة، بس مش X تربية لين X الكل تربية أو
+
+315
+00:32:28,430 --> 00:32:33,130
+لين تربية لك، يبقى كأنه X تبعت القانون، مين أجي
+
+316
+00:32:33,130 --> 00:32:40,050
+مكانها؟ هنا بدى أشيل كل إكس بالكامل و أحط بدالها مش
+
+317
+00:32:40,050 --> 00:32:48,780
+عارف من من النسب المثلثية تان لأن الإشارة بالموجب
+
+318
+00:32:48,780 --> 00:32:49,900
+والمقدار التربية
+
+319
+00:33:14,250 --> 00:33:20,770
+الـDX لو جينا فضلها دي بيصير واحد على X DX يساوي
+
+320
+00:33:20,770 --> 00:33:28,330
+سكتة ربيع ثيتا D ثيتا إذا واحد على X DX هذه كلها
+
+321
+00:33:28,330 --> 00:33:33,230
+بدي أشيلها و أكتب بدا أنا أجدها سكتة ربيع ثيتا
+
+322
+00:33:33,230 --> 00:33:40,330
+يبقى هذا سكتة ربيعثيتا في دي ثيتا خلصنا البس ضايل
+
+323
+00:33:40,330 --> 00:33:46,910
+المقام يبقى على الجدر التربية لواحد زائد تان تربية
+
+324
+00:33:46,910 --> 00:33:57,450
+ثيتا يبقى صلة المثلة تكامل لتان تكييب ثيتا تان
+
+325
+00:33:57,450 --> 00:34:05,800
+تكييب ثيتا فاهمين في سك تربية ثيتا عالىواحد زي تن
+
+326
+00:34:05,800 --> 00:34:13,800
+تربيع سك تربيع تقلع من تحت الجدر بسك ثيتا وهي دي
+
+327
+00:34:13,800 --> 00:34:21,160
+ثيتا و اللي هو بده يساوي تكامل لتان تكييب ثيتا في
+
+328
+00:34:21,160 --> 00:34:29,040
+سك ثيتا في دي ثيتا طيب كيف نسوي هذا فيها نحلل
+
+329
+00:34:29,040 --> 00:34:38,620
+التان موافقين تكامل لتان تربيع ثيتا في تان ثيتا في
+
+330
+00:34:38,620 --> 00:34:51,700
+سك ثيتا في دي ثيتا تكامل
+
+331
+00:34:51,700 --> 00:34:58,460
+لسك تربيع ثيتا ناقص واحد تكامل لسك تربيع ثيتا
+
+332
+00:34:58,460 --> 00:35:06,540
+تربيع ثيتا ناقص واحد سك ثيتا يبقى دي لسك ثيتا اذا
+
+333
+00:35:06,540 --> 00:35:12,660
+نشيل سك ثيتا تان ثيتا دي ثيتا وحطت مكانها دي سك
+
+334
+00:35:12,660 --> 00:35:19,160
+يعني مشتقت سك ثيتا كامل الان احنا بنكمل من W تربية
+
+335
+00:35:19,160 --> 00:35:24,600
+ناقص واحد DW يعني بدنا نضيف للأس واحد ونقسم على
+
+336
+00:35:24,600 --> 00:35:32,090
+الأس الجديد يبقى هذه تساوي تلت سك تكيب ثيتا هذا ال
+
+337
+00:35:32,090 --> 00:35:39,190
+term الأول والواحد تكمله بالنسبة لدي سك بسك يبقى
+
+338
+00:35:39,190 --> 00:35:48,350
+ناقص سك ثيتا زائد constant C نرجع كيف؟ ماشي، ماشي،
+
+339
+00:35:48,350 --> 00:35:52,130
+هو لا يهمك، حاضر، يلا حدود التكامل والعوض بقى،
+
+340
+00:35:52,130 --> 00:35:57,670
+يبقى كونوستانسي مافيش، هذا كونوستانسي مافيش، وهذه
+
+341
+00:35:57,670 --> 00:36:05,550
+حدود التكامل طبعاً نرجع لحدود التكامل من خلال
+
+342
+00:36:05,550 --> 00:36:11,490
+التعويضة، لو كانت ال X بي إيه لإن الإيه، مين
+
+343
+00:36:11,490 --> 00:36:16,770
+الزاوية اللي ضلها يسوى واحد وخمسة واربعين درجة،
+
+344
+00:36:16,770 --> 00:36:24,780
+مظبوط، يبقى هذا يصير باي على أربع لو كانت واحد لإن
+
+345
+00:36:24,780 --> 00:36:29,020
+الواحد بصفر مين الزاوية اللي ضلها يساوي Zero في
+
+346
+00:36:29,020 --> 00:36:34,220
+الفترة اللي عندنا هذه يبقى هي Zero إذا تحولت
+
+347
+00:36:34,220 --> 00:36:40,520
+المسألة تكامل من Zero لغاية Pi على 4 و من هنا من
+
+348
+00:36:40,520 --> 00:36:47,420
+Zero لغاية Pi على 4 و من هنا ل Zero لغاية Pi على 4
+
+349
+00:36:47,420 --> 00:36:53,060
+و من هنا Zero لغاية Pi على 4 و من هنا Zero لغاية
+
+350
+00:36:53,060 --> 00:37:00,730
+Pi على 4 بنعوض بالباية على أربعة طبعا السيك هو
+
+351
+00:37:00,730 --> 00:37:06,470
+مقلوب ال cosine الخمسة وارعين بواحد على جذر اتنين
+
+352
+00:37:06,470 --> 00:37:12,050
+اقلبها بتجيب السيك بصير جذر اتنين الكل تكيب له
+
+353
+00:37:12,050 --> 00:37:19,580
+اتنين جذر اتنين يبقى هذا تلتوهذا اتنين جذري اتنين
+
+354
+00:37:19,580 --> 00:37:26,660
+تغير من الأول ناقص اللي هو six اللي هو جذري اتنين
+
+355
+00:37:26,660 --> 00:37:32,040
+دوري فقط ما غير يبقى جذري اتنين هيعوضه بالقيمة
+
+356
+00:37:32,040 --> 00:37:36,840
+اللي فوق ناقص القيمة اللي تعالى six zero اب واحد
+
+357
+00:37:36,840 --> 00:37:45,300
+في طول يبقى بناقص طول وهذا زائد و six zero بقداش اب
+
+358
+00:37:45,300 --> 00:37:53,260
+واحد يبقى الصارع هذا تلتين جذري اتنين و سالب جذري
+
+359
+00:37:53,260 --> 00:38:02,270
+اتنين مضل كده؟ سالب طول جذري اتنين سالب تلت جدر
+
+360
+00:38:02,270 --> 00:38:07,650
+اتنين يبقى
+
+361
+00:38:07,650 --> 00:38:11,510
+الجواب
+
+362
+00:38:11,510 --> 00:38:17,570
+تلتين ناقص جدر اتنين على تلاتة هذا قيمة التكامل
+
+363
+00:38:17,570 --> 00:38:19,070
+اللي عندنا
+
+364
+00:38:37,920 --> 00:38:44,240
+ننتقل الآن إلى السؤال السابع وما أدرك ما السؤال
+
+365
+00:38:44,240 --> 00:38:50,700
+السابع السؤال السابع بيقول لي تكامل للجدرى التربية
+
+366
+00:38:50,700 --> 00:38:57,700
+إلى أربعة ناقص X على X كله بالنسبة إلى DX
+
+367
+00:39:01,270 --> 00:39:08,410
+هذا السؤال في جذر صحيح بس في عندى جذر فى البصر وفي
+
+368
+00:39:08,410 --> 00:39:12,570
+جذر فى المقام وتبع المقام لا فى مع زاد ولا فى مع
+
+369
+00:39:12,570 --> 00:39:17,870
+ناقص كمية أخرى اتنين الجذر اللى فى البصر مافيش فى
+
+370
+00:39:17,870 --> 00:39:21,870
+تربيع من الشغلات ال standard التلاتة اللى احنا
+
+371
+00:39:21,870 --> 00:39:28,890
+أخدناها المرة الماضية يبقى هذا السؤال ماهواش مباشر
+
+372
+00:39:29,130 --> 00:39:34,790
+زي الستة أمثلة السابقة وإنما في ناحية فنية بدنا
+
+373
+00:39:34,790 --> 00:39:39,430
+نشوف إيش الناحية الفنية يعني هل ممكن أنت تحوله
+
+374
+00:39:39,430 --> 00:39:45,150
+لمين؟ للمسائل تبعها في المرة الماضية نقدر؟ نقدر،
+
+375
+00:39:45,150 --> 00:39:50,930
+نقدر، ليش ما نقدرش؟ يعني هذا كأنه تكامل الجذر 
+
+376
+00:39:50,930 --> 00:39:58,780
+التكامل لـ أربعة ناقص X على جذر الـ X DX يقوله
+
+377
+00:39:58,780 --> 00:40:05,680
+بسيطة، حط جذر الـ X بأي متغير آخر، مظبوط؟ إذا لو
+
+378
+00:40:05,680 --> 00:40:11,920
+حطينا جذر الـ X بده يساوي Y، يبقى الـ X بده يساوي
+
+379
+00:40:11,920 --> 00:40:19,920
+كده؟ Y تربيع، طب احنا بدنا DX، يبقى باتنين Y DY
+
+380
+00:40:21,020 --> 00:40:27,520
+طبعا يبقى شكل المسألة أصبح على الشكل التالي هذا
+
+381
+00:40:27,520 --> 00:40:33,680
+الجذر التربيعي وهي الأربعة ناقص الـ X هي مين؟ Y
+
+382
+00:40:33,680 --> 00:40:41,170
+تربيع و جذر الـ X هي مين؟ Y و ال dx هي اتنين y dy
+
+383
+00:40:41,170 --> 00:40:46,750
+أفضل إن بنختصر الـ y مع الـ y و اتنين بشرفنا برا
+
+384
+00:40:46,750 --> 00:40:51,930
+التكامل و بيبقى لدينا الجذر التربيعي لاربعة ناقص y
+
+385
+00:40:51,930 --> 00:40:59,890
+تربيع dy يبقى صارت المسألة فيها الجذر تبعناها 
+
+386
+00:40:59,890 --> 00:41:04,430
+اللي اتحدثنا عنه في الجزء النظري المرة الماضية
+
+387
+00:41:04,430 --> 00:41:10,920
+مظبوط في جذر و تحت الجذر في إشارة لمقدار و واحد
+
+388
+00:41:10,920 --> 00:41:18,920
+فيهم مقدار ثابت والتاني مربع لمتغير يبقى فعلا هذا
+
+389
+00:41:18,920 --> 00:41:24,640
+تعرضنا لشكله المرة الماضية وبناء عليه بدنا نحكم
+
+390
+00:41:24,640 --> 00:41:30,330
+على شكل التعويض تبع هذه المسألة مش أنا أعرف شكل
+
+391
+00:41:30,330 --> 00:41:33,350
+التعويض، أبقى أبقالي عليه إشارة السين اللي أمامي
+
+392
+00:41:33,350 --> 00:41:39,610
+المتغير يبقى التعويض بدلالة sin همتاز يبقى بيقولي
+
+393
+00:41:39,610 --> 00:41:45,710
+حط له هنا الـ Y يساوي 2 في sin الزاوية ثيتا و
+
+394
+00:41:45,710 --> 00:41:50,510
+ثيتا أكبر من سالب π على اتنين وأقل من π على
+
+395
+00:41:50,510 --> 00:41:59,360
+اتنين أشتق يبقى dy اتنين cos ثيتا في d ثيتا يبقى
+
+396
+00:41:59,360 --> 00:42:05,760
+صارت مسألة على الشكل التالي اتنين تكامل الجذر
+
+397
+00:42:05,760 --> 00:42:12,280
+التربيعي لـ أربعة ناقص أربعة sin تربيع ثيتا ضال
+
+398
+00:42:12,280 --> 00:42:17,980
+عندي ال dy له اتنين cos ثيتا d ثيتا يبقى اتنين
+
+399
+00:42:17,980 --> 00:42:24,130
+cos ثيتا في d ثيتا طب تطلع لي هنا كويس، هاي
+
+400
+00:42:24,130 --> 00:42:30,810
+اتنين اللي برا، واربعة مع أربعة تطلع برا باتنين،
+
+401
+00:42:30,810 --> 00:42:36,770
+يبقى هاي كمان اتنين، واتنين هادي كمان شرفنا برا،
+
+402
+00:42:36,770 --> 00:42:44,060
+وهي تكامل، بلقدش هنا واحد ناقص sin ترجع له مين؟ cos
+
+403
+00:42:44,060 --> 00:42:50,060
+سين تربيع تطلع من تحت الجذر بـ cos ثيتا وعندك
+
+404
+00:42:50,060 --> 00:42:57,580
+هنا cos ثيتا وهي دي ثيتا تمام؟ طيب هذا الكلام
+
+405
+00:42:57,580 --> 00:43:04,880
+بده يساوي هدول بتمانية وهدي cos في cos cos
+
+406
+00:43:04,880 --> 00:43:10,100
+سين تربيع مقدرش أكملها إلا إذا حولتها بدلالة
+
+407
+00:43:10,100 --> 00:43:12,040
+بدلالة
+
+408
+00:43:21,760 --> 00:43:28,860
+يبقى من حول ابن ليلة ضعف الزاوية يبقى هذه اللي هي
+
+409
+00:43:28,860 --> 00:43:36,900
+عبارة عن نص واحد زائد cos اتنين ثيتا كله
+
+410
+00:43:36,900 --> 00:43:44,040
+بالنسبة إلى D ثيتا يبقى النتيجة تساوي أربعة وهذه
+
+411
+00:43:44,040 --> 00:43:51,740
+تكاملها بـ ثيتا وهذه بـ sin اتنين ثيتا على اتنين زائد
+
+412
+00:43:51,740 --> 00:43:57,300
+constant C طب احنا الحين لما نروح نرسم مثلث برسمش
+
+413
+00:43:57,300 --> 00:43:59,640
+الزاوية اتنين ثيتا برسم الزاوية
+
+414
+00:44:04,630 --> 00:44:10,890
+يبقى لو جيت على هذه هيك ههه و شيلت و كتبت بدلها
+
+415
+00:44:10,890 --> 00:44:17,380
+اتنين cos تيتا cos تيتا بنختصر اتنين مع اتنين
+
+416
+00:44:17,380 --> 00:44:23,960
+بتروح يبقى آلة مسألتي إلى الشكل التالي أربع ثيتا
+
+417
+00:44:23,960 --> 00:44:30,780
+زائد اتنين مع اتنين راحت بتيجي بس الأربعة عندنا اللي
+
+418
+00:44:30,780 --> 00:44:38,200
+هو main sin theta cos theta زائد constant C
+
+419
+00:44:38,200 --> 00:44:45,890
+بنرجع لـ ثيتا هي ثيتا اللي عندنا يا دييبقى ثيتا
+
+420
+00:44:45,890 --> 00:44:49,630
+يساوي
+
+421
+00:44:49,630 --> 00:44:58,590
+Y على 2 يعني لو روحت رسمت المثلث القائم الزاوية في
+
+422
+00:45:01,730 --> 00:45:08,770
+الجيب يساوي المقابل على الـ water يبقى الضلع الثالث
+
+423
+00:45:08,770 --> 00:45:15,250
+أربعة ناقص Y تربيع. إذا نقلت المثلث إلى الشكل
+
+424
+00:45:15,250 --> 00:45:20,690
+التالي أربعة من هنا بقدر أقول له θ تساوي sin
+
+425
+00:45:20,690 --> 00:45:28,090
+inverse y على اتنين يبقى ايه sin inverse للـ y على
+
+426
+00:45:28,090 --> 00:45:37,930
+اتنين زائد أربع sin θ المقابل على الوتر الـ y على
+
+427
+00:45:37,930 --> 00:45:46,810
+اتنين cos θ المجاور على الوتر أربعة ناقص y تربيع تحت
+
+428
+00:45:46,810 --> 00:45:53,770
+الجذر كله على اتنين زائد constant C يبقى
+
+429
+00:45:53,770 --> 00:45:59,350
+النتيجة النهائية أربع sin inverse عندنا نوع من
+
+430
+00:45:59,350 --> 00:46:03,910
+جذر يا شباب جذر الـ X إذا بدي أشيلها و أكتب مكانها
+
+431
+00:46:03,910 --> 00:46:11,590
+جذر الـ X يبقى sin inverse جذر الـ X على اتنين زائد
+
+432
+00:46:11,590 --> 00:46:16,750
+اتنين في اتنين يبقى أربعة مع الأربعة مع السلامة و
+
+433
+00:46:16,750 --> 00:46:24,110
+Y هي جذر الـ X وهذا الجذر التربيعي لأربعة ناقص Y
+
+434
+00:46:24,110 --> 00:46:33,270
+تربيع هي الـ X وهذا زائد constant C السؤال الأخير
+
+435
+00:46:33,270 --> 00:46:41,650
+في هذا section بيقول ما يأتي سؤال ثمانية تكامل X
+
+436
+00:46:41,650 --> 00:46:48,950
+على الجذر التربيعي للـ X تربيع ناقص اتنين X ناقص
+
+437
+00:46:48,950 --> 00:46:52,350
+ثلاثة كله في DX
+
+438
+00:46:56,770 --> 00:47:04,070
+أول مرة نشوف جذر بهذا الشكل في هذا الـ section هذا
+
+439
+00:47:04,070 --> 00:47:09,030
+الجذر ليس على شكل الجذور اللي شرحناها في جزء النظر
+
+440
+00:47:09,030 --> 00:47:14,030
+لكن شغل عقلك هكذا، توصل للجذر اللي شرحناها في
+
+441
+00:47:14,030 --> 00:47:19,650
+الجزء النظري كيف كان التالي؟ هي تكامل وهي الـ X وهي
+
+442
+00:47:19,650 --> 00:47:26,260
+الـ DX وهي الجذر التربيعي هل هذا مربع كامل؟ لا مش
+
+443
+00:47:26,260 --> 00:47:31,400
+مربع كامل يفجأة بدنا نحوله إلى مربع كامل كده
+
+444
+00:47:31,400 --> 00:47:37,340
+بالزموه واحد بنطرح واحد مع ناقص ثلاثة بيصير كده
+
+445
+00:47:37,340 --> 00:47:43,100
+ناقص أربعة يفجأة أضفنا واحد واطرحنا واحد هي الواحد
+
+446
+00:47:43,100 --> 00:47:46,920
+اللي أضفناه سالب واحد مع سالب ثلاثة بيعطيني سالب
+
+447
+00:47:46,920 --> 00:47:53,750
+أربعة طلع لي للمقدار هذا مربع كامل مظبوط هيك يبقى
+
+448
+00:47:53,750 --> 00:48:00,590
+تكامل x dx على مين؟ على الـ x ناقص واحد لكل تربيع
+
+449
+00:48:00,590 --> 00:48:09,430
+ناقص أربعة كل تحت الجذر بعد ذلك، نريد أن نكمل هذه
+
+450
+00:48:09,430 --> 00:48:13,690
+الدلالة. أنا أقول إن هذا أصبح جذب، لكن مكان الـ X
+
+451
+00:48:13,690 --> 00:48:18,850
+شجعني. X ناقص واحد. إذن، عند التعويض، أريد أن أضع
+
+452
+00:48:18,850 --> 00:48:24,610
+X ناقص واحد يساوي. كم يساوي، الله يعلم. إن شرسلي
+
+453
+00:48:24,610 --> 00:48:33,150
+بالأمين، للمقدار الثابت يبقى 2 كم؟ sec تيتا و تيتا
+
+454
+00:48:33,150 --> 00:48:40,340
+أكبر من أو تساوي Zero أقل من π على 2 طيب ممكن أقول
+
+455
+00:48:40,340 --> 00:48:46,940
+الـ X يساوي واحد زائد اتنين في sec الثيتا بدي DX
+
+456
+00:48:46,940 --> 00:48:54,200
+يبقى اتنين sec ثيتا tan ثيتا d ثيتا يبقى قلط
+
+457
+00:48:54,200 --> 00:49:00,200
+مسألتي للشكل التالي بدي أشيل الـ X و أحط مثل واحد
+
+458
+00:49:00,200 --> 00:49:07,310
+زائد اتنين sec ثيتا يبقى واحد زائد اتنين sec ثيتا في
+
+459
+00:49:07,310 --> 00:49:14,130
+الـ DX اللي هو باتنين sec ثيتا tan ثيتا d ثيتا كل
+
+460
+00:49:14,130 --> 00:49:22,830
+هذا مقسوما على الجذري التربيعي لـ أربعة sec تربيع
+
+461
+00:49:22,830 --> 00:49:29,100
+ثيتا ناقص أربعة هذا المقدار كله شيلته و حاطط بقاله
+
+462
+00:49:29,100 --> 00:49:34,740
+اتنين sec تربيع، بيبقى مربع هذا أربعة sec تربيع ثيتا
+
+463
+00:49:34,740 --> 00:49:41,290
+و هذا الأربعة كما هي يبقى قلة مسألتي إلى الشكل
+
+464
+00:49:41,290 --> 00:49:45,370
+التالي أظن اتنين هذه فيش غيرها اطلع برضه مع
+
+465
+00:49:45,370 --> 00:49:52,930
+السلامة و ايتا كامة واحد زائد اتنين في sec ثيتا و
+
+466
+00:49:52,930 --> 00:50:00,850
+عندك هذه تظل عندي sec ثيتا sec ثيتا tan ثيتا d
+
+467
+00:50:00,850 --> 00:50:06,540
+ثيتا مقسوما على هذه أربعة مع أربعة تطلع بره في جذر
+
+468
+00:50:06,540 --> 00:50:11,660
+كمان باتنين بضل الجذر التربيعي لـ sec تربيع ناقص
+
+469
+00:50:11,660 --> 00:50:18,550
+واحد tan تربيع تطلع من تحت الجذر بـ tan تيتا tan
+
+470
+00:50:18,550 --> 00:50:23,290
+تيتا مع tan تيتا الله يسهل عليها يبقى آلة المسألة
+
+471
+00:50:23,290 --> 00:50:31,030
+إلى الشكل التالي تكامل لـ sec تيتا زائد اتنين sec
+
+472
+00:50:31,030 --> 00:50:38,990
+تربيع تيتا كله في d تيتا الأولى سؤال السنبرت
+
+473
+00:50:38,990 --> 00:50:43,770
+معروفة اللي هي ln absolute value لـ sec theta
+
+474
+00:50:43,770 --> 00:50:53,530
+زائد tan ثيتا وهادي زائد اتنين tan ثيتا وهنا زائد
+
+475
+00:50:53,530 --> 00:50:59,970
+constant C بعد هيك بدنا نرجع نحول المسألة بدلالة
+
+476
+00:50:59,970 --> 00:51:05,250
+من؟ بدلالة الـ X بنقول له اه هادي هاها
+
+477
+00:51:07,690 --> 00:51:14,330
+مرة ثانية بقدر أقول sec ثيتا بدي يساوي x ناقص واحد
+
+478
+00:51:14,330 --> 00:51:19,710
+على مين؟ على الاتنين إذا لو روحت رسمت المثلث
+
+479
+00:51:19,710 --> 00:51:25,730
+القائم الزاوية وقلنا هذه الزاوية ثيتا sec يساوي
+
+480
+00:51:25,730 --> 00:51:34,470
+الوتر على المجاور يبقى الضلع الثالث هو X ناقص واحد
+
+481
+00:51:34,470 --> 00:51:41,310
+لكل تربيع ناقص أربعة حسب نظرية فيثاغورس يبقى هذا
+
+482
+00:51:41,310 --> 00:51:48,640
+الكلام بده يساوي ln absolute value sec الوتر على
+
+483
+00:51:48,640 --> 00:51:55,100
+المجاور يبقى x ناقص واحد على اتنين زائد tan
+
+484
+00:51:55,100 --> 00:52:00,580
+المقابل على المجاور يبقى الجذري التربيعي إلى الـ x
+
+485
+00:52:00,580 --> 00:52:07,300
+ناقص واحد لكل تربيع ناقص أربعة بالشكل اللي عندنا
+
+486
+00:52:07,300 --> 00:52:14,360
+هذا على مين؟ على الاتنين وهي خلصنا مين؟ الـ ln زائد
+
+487
+00:52:14,360 --> 00:52:22,220
+اتنين tan الجذري التربيعي للـ X ناقص واحد لكل تربيع
+
+488
+00:52:22,220 --> 00:52:33,680
+ناقص أربعة على مين على الاتنين زائد كله constant C لو
+
+489
+00:52:33,680 --> 00:52:38,700
+رحت فتحت الكتاب، ما تلاقيش الإجابة ده معناته حملة
+
+490
+00:52:38,700 --> 00:52:45,630
+غلط، ما غلط ولا حاجة طلع لي هنا ممكن أخد عامل مشترك
+
+491
+00:52:45,630 --> 00:52:51,270
+من الاتنين هدول قداش اتنين بصير X ناقص واحد زائد
+
+492
+00:52:51,270 --> 00:52:56,210
+الجذر كله على اتنين بصير ln الباص ناقص ln المقام
+
+493
+00:52:56,210 --> 00:53:03,610
+يبقى بصير ln X ناقص واحد زائد الجذر التربيعي هذا
+
+494
+00:53:03,610 --> 00:53:08,350
+لو رجعته لأصله اللي هو رأس المسألة فيه مشكلة؟ لأ
+
+495
+00:53:08,560 --> 00:53:15,060
+يبقى بروح بقول له هاي x تربيع ناقص اتنين x ناقص
+
+496
+00:53:15,060 --> 00:53:20,120
+ثلاثة وجفّل من الـ absolute بقى اللي عندي ln ناقص
+
+497
+00:53:20,120 --> 00:53:25,860
+للاتنين ايه وروح نقوله اتنين هذول مع اتنين مع
+
+498
+00:53:25,860 --> 00:53:32,480
+السلامة وهذا الـ x تربيع ناقص اتنين x ناقص ثلاثة
+
+499
+00:53:32,480 --> 00:53:40,960
+وزائد constant C1 حيث الـ C1 بده يساوي الـ C اللي
+
+500
+00:53:40,960 --> 00:53:48,640
+عندنا ناقص ln اتنين يعني من هنا بده يطلع ln الباص 
+
+501
+00:53:48,640 --> 00:53:55,300
+ناقص لن الـ A على الـ B لن الـ A ناقص لن الـ B
+
+502
+00:53:55,300 --> 00:53:59,720
+ناقص لن الـ B مقدار ثابت والـ C مقدار ثابت حطيتهم 
+
+503
+00:53:59,720 --> 00:54:03,620
+بمقدار ثابت جديد وبالتالي لو روحت على الكتاب بلاقي
+
+504
+00:54:03,620 --> 00:54:08,590
+هذه الإجابة وبلاقيش الإجابة اللي منها أفق وكلا
+
+505
+00:54:08,590 --> 00:54:12,570
+الحالين صحيحة يعني أنت لو وقفت هنا خلاص وروحت
+
+506
+00:54:12,570 --> 00:54:18,210
+وخليتها ماعنا مشكلة في هذه الحالة إذا وصلنا لنهاية
+
+507
+00:54:18,210 --> 00:54:25,680
+هذا الـ section وإليكم أرقام المسائل يبقى exercises
+
+508
+00:54:25,680 --> 00:54:33,120
+اللي هو تمانية تلاتة المسائل الآتية من
+
+509
+00:54:33,120 --> 00:54:41,860
+واحد لغاية تمانية وأربعين  والله يعطيك العافية
+
+510
+00:54:41,860 --> 00:54:46,580
+انتهى الـ section غدا إن شاء الله نبدأ الـ section
+
+511
+00:54:46,580 --> 00:54:51,260
+الجديد على الطريقة الثالثة من طرق التكامل 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/U3pzh94YIHQ_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/U3pzh94YIHQ_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..292d802472e3161801a2c29520b7ce8aa248882b
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/U3pzh94YIHQ_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2636, "start": 17.92, "end": 26.36, "text": "المرة الماضية اتبعنا في استخدام قاعدة libital لإيجاد نهايات للدول", "tokens": [45340, 25720, 9673, 46958, 10632, 1975, 2655, 3555, 3615, 8315, 8978, 44713, 9778, 3215, 10943, 12174, 995, 22488, 3660, 22854, 1686, 5296, 28814, 1829, 7435, 18513, 8717, 11296, 1829, 9307, 24976, 3215, 12610], "avg_logprob": -0.15188419818878174, "compression_ratio": 1.175257731958763, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 17.92, "end": 19.32, "word": "المرة", "probability": 0.78369140625}, {"start": 19.32, "end": 20.4, "word": " الماضية", "probability": 0.9921875}, {"start": 20.4, "end": 21.5, "word": " اتبعنا", "probability": 0.8515625}, {"start": 21.5, "end": 22.04, "word": " في", "probability": 0.939453125}, {"start": 22.04, "end": 22.92, "word": " استخدام", "probability": 0.9759521484375}, {"start": 22.92, "end": 23.58, "word": " قاعدة", "probability": 0.9910888671875}, {"start": 23.58, "end": 24.04, "word": " libital", "probability": 0.5070648193359375}, {"start": 24.04, "end": 24.96, "word": " لإيجاد", "probability": 0.93203125}, {"start": 24.96, "end": 25.82, "word": " نهايات", "probability": 0.9471435546875}, {"start": 25.82, "end": 26.36, "word": " للدول", "probability": 0.9796549479166666}], "temperature": 1.0}, {"id": 2, "seek": 3886, "start": 27.12, "end": 38.86, "text": "واخذنا حالتين و بقيت الحالة الثالثة من باب التذكير و ذكر فإن ذكرى تنفع المؤمنين أقول", "tokens": [2407, 47283, 8848, 8315, 11331, 6027, 2655, 9957, 4032, 4724, 4587, 36081, 21542, 6027, 3660, 6024, 104, 6027, 12984, 3660, 9154, 4724, 16758, 16712, 8848, 4117, 13546, 4032, 29910, 37983, 6156, 28814, 1863, 29910, 37983, 7578, 6055, 1863, 5172, 3615, 9673, 33604, 27842, 9957, 5551, 39648], "avg_logprob": -0.11835106478092518, "compression_ratio": 1.5148514851485149, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 27.12, "end": 28.06, "word": "واخذنا", "probability": 0.8690185546875}, {"start": 28.06, "end": 28.98, "word": " حالتين", "probability": 0.9927978515625}, {"start": 28.98, "end": 29.22, "word": " و", "probability": 0.7060546875}, {"start": 29.22, "end": 29.72, "word": " بقيت", "probability": 0.6841634114583334}, {"start": 29.72, "end": 30.42, "word": " الحالة", "probability": 0.98779296875}, {"start": 30.42, "end": 31.56, "word": " الثالثة", "probability": 0.97880859375}, {"start": 31.56, "end": 32.0, "word": " من", "probability": 0.88671875}, {"start": 32.0, "end": 32.38, "word": " باب", "probability": 0.992431640625}, {"start": 32.38, "end": 33.3, "word": " التذكير", "probability": 0.968505859375}, {"start": 33.3, "end": 33.72, "word": " و", "probability": 0.72412109375}, {"start": 33.72, "end": 34.2, "word": " ذكر", "probability": 0.803955078125}, {"start": 34.2, "end": 34.76, "word": " فإن", "probability": 0.9270833333333334}, {"start": 34.76, "end": 35.4, "word": " ذكرى", "probability": 0.6490071614583334}, {"start": 35.4, "end": 36.36, "word": " تنفع", "probability": 0.992431640625}, {"start": 36.36, "end": 38.28, "word": " المؤمنين", "probability": 0.991943359375}, {"start": 38.28, "end": 38.86, "word": " أقول", "probability": 0.84619140625}], "temperature": 1.0}, {"id": 3, "seek": 6886, "start": 39.6, "end": 68.86, "text": "النقطة الأولى اللى ذكرناها بالنسبة لقاعة Lobital إذا كانت نتيجة التعود المباشر هي Zero على Zero أو Infinity على Infinity من جول limit لل F of X على G of X لما ال X بدأ تروح إلى A سواء كان A رقم أو Zero أو Infinity يبقى هذا بدى يسوي limit مشتق الدالة البسطى على حده مقصوما على مشتق الدالة المقام واخدنا على ذلك", "tokens": [6027, 1863, 47432, 3660, 16247, 12610, 7578, 13672, 7578, 29910, 37983, 8315, 11296, 20666, 1863, 35457, 3660, 5296, 4587, 995, 27884, 30719, 1686, 11933, 15730, 25961, 2655, 8717, 31371, 7435, 3660, 16712, 3615, 23328, 9673, 3555, 33599, 2288, 39896, 17182, 15844, 17182, 34051, 34762, 15844, 34762, 9154, 10874, 12610, 4948, 24976, 479, 295, 1783, 15844, 460, 295, 1783, 5296, 15042, 2423, 1783, 47525, 10721, 6055, 32887, 5016, 30731, 316, 8608, 2407, 16606, 25961, 316, 12602, 4587, 2304, 34051, 17182, 34051, 34762, 7251, 3555, 4587, 7578, 23758, 47525, 7578, 7251, 3794, 45865, 4948, 37893, 2655, 4587, 32748, 6027, 3660, 29739, 3794, 9566, 7578, 15844, 11331, 3215, 3224, 3714, 4587, 9381, 20498, 995, 15844, 37893, 2655, 4587, 32748, 6027, 3660, 9673, 4587, 10943, 4032, 47283, 3215, 8315, 15844, 29910, 23275], "avg_logprob": -0.203125, "compression_ratio": 1.811808118081181, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 39.6, "end": 40.26, "word": "النقطة", "probability": 0.80902099609375}, {"start": 40.26, "end": 40.58, "word": " الأولى", "probability": 0.94482421875}, {"start": 40.58, "end": 40.7, "word": " اللى", "probability": 0.898681640625}, {"start": 40.7, "end": 41.6, "word": " ذكرناها", "probability": 0.9814453125}, {"start": 41.6, "end": 42.18, "word": " بالنسبة", "probability": 0.89501953125}, {"start": 42.18, "end": 42.68, "word": " لقاعة", "probability": 0.895751953125}, {"start": 42.68, "end": 43.14, "word": " Lobital", "probability": 0.51483154296875}, {"start": 43.14, "end": 43.56, "word": " إذا", "probability": 0.776123046875}, {"start": 43.56, "end": 44.08, "word": " كانت", "probability": 0.9716796875}, {"start": 44.08, "end": 44.52, "word": " نتيجة", "probability": 0.9764404296875}, {"start": 44.52, "end": 44.96, "word": " التعود", "probability": 0.6778971354166666}, {"start": 44.96, "end": 45.68, "word": " المباشر", "probability": 0.9874267578125}, {"start": 45.68, "end": 45.92, "word": " هي", "probability": 0.68505859375}, {"start": 45.92, "end": 46.26, "word": " Zero", "probability": 0.341064453125}, {"start": 46.26, "end": 46.56, "word": " على", "probability": 0.84521484375}, {"start": 46.56, "end": 47.0, "word": " Zero", "probability": 0.95361328125}, {"start": 47.0, "end": 47.78, "word": " أو", "probability": 0.705078125}, {"start": 47.78, "end": 48.5, "word": " Infinity", "probability": 0.74462890625}, {"start": 48.5, "end": 49.0, "word": " على", "probability": 0.88818359375}, {"start": 49.0, "end": 49.9, "word": " Infinity", "probability": 0.916015625}, {"start": 49.9, "end": 50.6, "word": " من", "probability": 0.89697265625}, {"start": 50.6, "end": 50.88, "word": " جول", "probability": 0.56103515625}, {"start": 50.88, "end": 51.24, "word": " limit", "probability": 0.50048828125}, {"start": 51.24, "end": 51.54, "word": " لل", "probability": 0.6962890625}, {"start": 51.54, "end": 51.86, "word": " F", "probability": 0.58984375}, {"start": 51.86, "end": 52.08, "word": " of", "probability": 0.87353515625}, {"start": 52.08, "end": 52.32, "word": " X", "probability": 0.95458984375}, {"start": 52.32, "end": 52.58, "word": " على", "probability": 0.791015625}, {"start": 52.58, "end": 52.78, "word": " G", "probability": 0.94482421875}, {"start": 52.78, "end": 52.96, "word": " of", "probability": 0.9609375}, {"start": 52.96, "end": 53.22, "word": " X", "probability": 0.99658203125}, {"start": 53.22, "end": 53.5, "word": " لما", "probability": 0.8984375}, {"start": 53.5, "end": 53.66, "word": " ال", "probability": 0.75}, {"start": 53.66, "end": 53.84, "word": " X", "probability": 0.61181640625}, {"start": 53.84, "end": 54.2, "word": " بدأ", "probability": 0.765380859375}, {"start": 54.2, "end": 54.82, "word": " تروح", "probability": 0.8956705729166666}, {"start": 54.82, "end": 55.2, "word": " إلى", "probability": 0.83935546875}, {"start": 55.2, "end": 55.64, "word": " A", "probability": 0.69677734375}, {"start": 55.64, "end": 56.1, "word": " سواء", "probability": 0.9601236979166666}, {"start": 56.1, "end": 56.38, "word": " كان", "probability": 0.98779296875}, {"start": 56.38, "end": 56.62, "word": " A", "probability": 0.87939453125}, {"start": 56.62, "end": 57.26, "word": " رقم", "probability": 0.99462890625}, {"start": 57.26, "end": 57.54, "word": " أو", "probability": 0.796875}, {"start": 57.54, "end": 57.86, "word": " Zero", "probability": 0.9580078125}, {"start": 57.86, "end": 58.26, "word": " أو", "probability": 0.72509765625}, {"start": 58.26, "end": 58.96, "word": " Infinity", "probability": 0.86376953125}, {"start": 58.96, "end": 59.92, "word": " يبقى", "probability": 0.8341064453125}, {"start": 59.92, "end": 60.14, "word": " هذا", "probability": 0.94140625}, {"start": 60.14, "end": 60.42, "word": " بدى", "probability": 0.4964599609375}, {"start": 60.42, "end": 60.76, "word": " يسوي", "probability": 0.74853515625}, {"start": 60.76, "end": 61.2, "word": " limit", "probability": 0.8994140625}, {"start": 61.2, "end": 61.84, "word": " مشتق", "probability": 0.7654622395833334}, {"start": 61.84, "end": 62.34, "word": " الدالة", "probability": 0.8369140625}, {"start": 62.34, "end": 62.86, "word": " البسطى", "probability": 0.92822265625}, {"start": 62.86, "end": 63.06, "word": " على", "probability": 0.88720703125}, {"start": 63.06, "end": 63.42, "word": " حده", "probability": 0.6144205729166666}, {"start": 63.42, "end": 64.14, "word": " مقصوما", "probability": 0.75107421875}, {"start": 64.14, "end": 64.8, "word": " على", "probability": 0.81591796875}, {"start": 64.8, "end": 65.4, "word": " مشتق", "probability": 0.9811197916666666}, {"start": 65.4, "end": 66.4, "word": " الدالة", "probability": 0.9256184895833334}, {"start": 66.4, "end": 67.42, "word": " المقام", "probability": 0.9837239583333334}, {"start": 67.42, "end": 68.1, "word": " واخدنا", "probability": 0.907470703125}, {"start": 68.1, "end": 68.32, "word": " على", "probability": 0.94189453125}, {"start": 68.32, "end": 68.86, "word": " ذلك", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 4, "seek": 7763, "start": 69.15, "end": 77.63, "text": "بدل المثال خمسة أمثلة ثم انتقلنا بعد ذلك إلى النقطة الثانية وهي", "tokens": [3555, 3215, 1211, 9673, 12984, 6027, 16490, 2304, 3794, 3660, 5551, 2304, 12984, 37977, 38637, 2304, 16472, 2655, 4587, 1211, 8315, 39182, 29910, 23275, 30731, 28239, 47432, 3660, 6024, 104, 7649, 10632, 37037, 1829], "avg_logprob": -0.12031250255448478, "compression_ratio": 1.2921348314606742, "no_speech_prob": 0.0, "words": [{"start": 69.15, "end": 69.63, "word": "بدل", "probability": 0.622802734375}, {"start": 69.63, "end": 70.49, "word": " المثال", "probability": 0.9853515625}, {"start": 70.49, "end": 71.45, "word": " خمسة", "probability": 0.942138671875}, {"start": 71.45, "end": 72.07, "word": " أمثلة", "probability": 0.9036865234375}, {"start": 72.07, "end": 74.23, "word": " ثم", "probability": 0.928955078125}, {"start": 74.23, "end": 74.85, "word": " انتقلنا", "probability": 0.93271484375}, {"start": 74.85, "end": 75.03, "word": " بعد", "probability": 0.84326171875}, {"start": 75.03, "end": 75.35, "word": " ذلك", "probability": 0.996337890625}, {"start": 75.35, "end": 75.55, "word": " إلى", "probability": 0.7568359375}, {"start": 75.55, "end": 76.41, "word": " النقطة", "probability": 0.9685872395833334}, {"start": 76.41, "end": 77.05, "word": " الثانية", "probability": 0.9608154296875}, {"start": 77.05, "end": 77.63, "word": " وهي", "probability": 0.875244140625}], "temperature": 1.0}, {"id": 5, "seek": 10123, "start": 78.03, "end": 101.23, "text": "الكمية غير المعينة على الصيغة zero في infinity أو infinity minus infinity مثل هذه القيام بدنا نروح نحسب ل limit يبقى بدنا نروح بأي طريقة رياضية ان حولها إلى الحالة الأولى وهي zero على zero أو infinity على infinity", "tokens": [6027, 24793, 10632, 32771, 13546, 9673, 3615, 9957, 3660, 15844, 31767, 1829, 17082, 3660, 4018, 8978, 13202, 34051, 13202, 3175, 13202, 50113, 1211, 29538, 25062, 1829, 10943, 47525, 8315, 8717, 32887, 5016, 8717, 5016, 35457, 5296, 4948, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 32887, 5016, 4724, 10721, 1829, 23032, 16572, 28671, 12602, 1829, 46958, 10632, 16472, 11331, 12610, 11296, 30731, 21542, 6027, 3660, 16247, 12610, 7578, 37037, 1829, 4018, 15844, 4018, 34051, 13202, 15844, 13202], "avg_logprob": -0.18567369897644243, "compression_ratio": 1.7340425531914894, "no_speech_prob": 0.0, "words": [{"start": 78.03, "end": 78.93, "word": "الكمية", "probability": 0.791015625}, {"start": 78.93, "end": 79.43, "word": " غير", "probability": 0.96533203125}, {"start": 79.43, "end": 80.27, "word": " المعينة", "probability": 0.96826171875}, {"start": 80.27, "end": 80.45, "word": " على", "probability": 0.89404296875}, {"start": 80.45, "end": 81.09, "word": " الصيغة", "probability": 0.9332275390625}, {"start": 81.09, "end": 81.45, "word": " zero", "probability": 0.1453857421875}, {"start": 81.45, "end": 81.73, "word": " في", "probability": 0.61181640625}, {"start": 81.73, "end": 82.69, "word": " infinity", "probability": 0.76611328125}, {"start": 82.69, "end": 83.37, "word": " أو", "probability": 0.6826171875}, {"start": 83.37, "end": 84.17, "word": " infinity", "probability": 0.83837890625}, {"start": 84.17, "end": 84.91, "word": " minus", "probability": 0.9443359375}, {"start": 84.91, "end": 85.75, "word": " infinity", "probability": 0.9033203125}, {"start": 85.75, "end": 87.07, "word": " مثل", "probability": 0.969970703125}, {"start": 87.07, "end": 87.63, "word": " هذه", "probability": 0.9853515625}, {"start": 87.63, "end": 88.35, "word": " القيام", "probability": 0.7975260416666666}, {"start": 88.35, "end": 88.75, "word": " بدنا", "probability": 0.725830078125}, {"start": 88.75, "end": 89.09, "word": " نروح", "probability": 0.7774251302083334}, {"start": 89.09, "end": 89.57, "word": " نحسب", "probability": 0.9353841145833334}, {"start": 89.57, "end": 89.75, "word": " ل", "probability": 0.38623046875}, {"start": 89.75, "end": 90.31, "word": " limit", "probability": 0.52197265625}, {"start": 90.31, "end": 91.07, "word": " يبقى", "probability": 0.73126220703125}, {"start": 91.07, "end": 91.37, "word": " بدنا", "probability": 0.93212890625}, {"start": 91.37, "end": 91.71, "word": " نروح", "probability": 0.9933268229166666}, {"start": 91.71, "end": 92.37, "word": " بأي", "probability": 0.9334309895833334}, {"start": 92.37, "end": 92.99, "word": " طريقة", "probability": 0.9915364583333334}, {"start": 92.99, "end": 93.79, "word": " رياضية", "probability": 0.98779296875}, {"start": 93.79, "end": 94.05, "word": " ان", "probability": 0.755859375}, {"start": 94.05, "end": 94.65, "word": " حولها", "probability": 0.8382161458333334}, {"start": 94.65, "end": 94.89, "word": " إلى", "probability": 0.685546875}, {"start": 94.89, "end": 95.57, "word": " الحالة", "probability": 0.9778645833333334}, {"start": 95.57, "end": 96.33, "word": " الأولى", "probability": 0.9816080729166666}, {"start": 96.33, "end": 96.87, "word": " وهي", "probability": 0.92578125}, {"start": 96.87, "end": 97.19, "word": " zero", "probability": 0.755859375}, {"start": 97.19, "end": 97.47, "word": " على", "probability": 0.8232421875}, {"start": 97.47, "end": 97.93, "word": " zero", "probability": 0.8798828125}, {"start": 97.93, "end": 98.47, "word": " أو", "probability": 0.56640625}, {"start": 98.47, "end": 99.33, "word": " infinity", "probability": 0.84814453125}, {"start": 99.33, "end": 99.91, "word": " على", "probability": 0.88720703125}, {"start": 99.91, "end": 101.23, "word": " infinity", "probability": 0.80908203125}], "temperature": 1.0}, {"id": 6, "seek": 12274, "start": 101.74, "end": 122.74, "text": "يبقى هتان الحالتان دوري ستاء في المرة الماضية الآن بنروح للحالة الثالثة والاخيرة إذا كانت الكيمية تغير المعينة على صيغة واحد أس مال نهاية أو zero أس zero أو مال مال نهاية أس zero", "tokens": [1829, 3555, 4587, 7578, 8032, 2655, 7649, 21542, 6027, 2655, 7649, 11778, 13063, 1829, 8608, 2655, 16606, 8978, 9673, 25720, 9673, 46958, 10632, 6024, 48506, 44945, 32887, 5016, 24976, 5016, 6027, 3660, 6024, 104, 6027, 12984, 3660, 16070, 47283, 48923, 11933, 15730, 25961, 2655, 33251, 32640, 10632, 6055, 17082, 13546, 9673, 3615, 9957, 3660, 15844, 20328, 1829, 17082, 3660, 36764, 24401, 5551, 3794, 3714, 6027, 8717, 11296, 10632, 34051, 4018, 5551, 3794, 4018, 34051, 3714, 6027, 3714, 6027, 8717, 11296, 10632, 5551, 3794, 4018], "avg_logprob": -0.17647059244268082, "compression_ratio": 1.8294117647058823, "no_speech_prob": 0.0, "words": [{"start": 101.74, "end": 102.18, "word": "يبقى", "probability": 0.77923583984375}, {"start": 102.18, "end": 102.7, "word": " هتان", "probability": 0.810546875}, {"start": 102.7, "end": 103.54, "word": " الحالتان", "probability": 0.849609375}, {"start": 103.54, "end": 103.96, "word": " دوري", "probability": 0.8863932291666666}, {"start": 103.96, "end": 105.1, "word": " ستاء", "probability": 0.7809244791666666}, {"start": 105.1, "end": 105.44, "word": " في", "probability": 0.8525390625}, {"start": 105.44, "end": 105.94, "word": " المرة", "probability": 0.9638671875}, {"start": 105.94, "end": 106.8, "word": " الماضية", "probability": 0.9912109375}, {"start": 106.8, "end": 107.68, "word": " الآن", "probability": 0.58721923828125}, {"start": 107.68, "end": 108.12, "word": " بنروح", "probability": 0.8505859375}, {"start": 108.12, "end": 108.74, "word": " للحالة", "probability": 0.9476318359375}, {"start": 108.74, "end": 109.26, "word": " الثالثة", "probability": 0.87431640625}, {"start": 109.26, "end": 109.94, "word": " والاخيرة", "probability": 0.8829752604166666}, {"start": 109.94, "end": 110.66, "word": " إذا", "probability": 0.8583984375}, {"start": 110.66, "end": 111.1, "word": " كانت", "probability": 0.959716796875}, {"start": 111.1, "end": 111.76, "word": " الكيمية", "probability": 0.6735026041666666}, {"start": 111.76, "end": 112.5, "word": " تغير", "probability": 0.83642578125}, {"start": 112.5, "end": 113.74, "word": " المعينة", "probability": 0.9617919921875}, {"start": 113.74, "end": 113.98, "word": " على", "probability": 0.94189453125}, {"start": 113.98, "end": 114.6, "word": " صيغة", "probability": 0.912841796875}, {"start": 114.6, "end": 115.12, "word": " واحد", "probability": 0.90087890625}, {"start": 115.12, "end": 115.48, "word": " أس", "probability": 0.69482421875}, {"start": 115.48, "end": 115.8, "word": " مال", "probability": 0.902099609375}, {"start": 115.8, "end": 116.4, "word": " نهاية", "probability": 0.9212239583333334}, {"start": 116.4, "end": 117.22, "word": " أو", "probability": 0.80859375}, {"start": 117.22, "end": 117.68, "word": " zero", "probability": 0.39404296875}, {"start": 117.68, "end": 118.14, "word": " أس", "probability": 0.92919921875}, {"start": 118.14, "end": 118.66, "word": " zero", "probability": 0.81787109375}, {"start": 118.66, "end": 119.34, "word": " أو", "probability": 0.77197265625}, {"start": 119.34, "end": 120.22, "word": " مال", "probability": 0.9755859375}, {"start": 120.22, "end": 120.92, "word": " مال", "probability": 0.75439453125}, {"start": 120.92, "end": 121.76, "word": " نهاية", "probability": 0.9119466145833334}, {"start": 121.76, "end": 122.28, "word": " أس", "probability": 0.982177734375}, {"start": 122.28, "end": 122.74, "word": " zero", "probability": 0.84619140625}], "temperature": 1.0}, {"id": 7, "seek": 14916, "start": 123.32, "end": 149.16, "text": "مش هانيجي ندرس هذه الحالة يبقى بدنا .. بدنا نروح نعطيها الملاحظة هذه ثم ندخل في الحالة لإن هذا أو في كيفية التعامل مع مثل هذه الحالة ال remark بتقول إيه؟ لو كان limit لإن ال f of x لما ال x بده يروح ل zero بده يساوي ال L then", "tokens": [2304, 8592, 8032, 7649, 1829, 7435, 1829, 8717, 3215, 2288, 3794, 29538, 21542, 6027, 3660, 7251, 3555, 4587, 7578, 47525, 8315, 4386, 47525, 8315, 8717, 32887, 5016, 8717, 3615, 9566, 1829, 11296, 9673, 15040, 5016, 19913, 3660, 29538, 38637, 2304, 8717, 3215, 9778, 1211, 8978, 21542, 6027, 3660, 5296, 28814, 1863, 23758, 34051, 8978, 9122, 33911, 10632, 16712, 3615, 10943, 1211, 20449, 50113, 1211, 29538, 21542, 6027, 3660, 2423, 7942, 39894, 39648, 11933, 1829, 3224, 22807, 45164, 25961, 4948, 5296, 28814, 1863, 2423, 283, 295, 2031, 5296, 15042, 2423, 2031, 47525, 3224, 7251, 32887, 5016, 5296, 4018, 47525, 3224, 7251, 3794, 995, 45865, 2423, 441, 550], "avg_logprob": -0.18720794002586436, "compression_ratio": 1.7031963470319635, "no_speech_prob": 0.0, "words": [{"start": 123.32, "end": 123.68, "word": "مش", "probability": 0.6282958984375}, {"start": 123.68, "end": 124.12, "word": " هانيجي", "probability": 0.7132080078125}, {"start": 124.12, "end": 124.6, "word": " ندرس", "probability": 0.978759765625}, {"start": 124.6, "end": 125.0, "word": " هذه", "probability": 0.94873046875}, {"start": 125.0, "end": 125.76, "word": " الحالة", "probability": 0.9715169270833334}, {"start": 125.76, "end": 126.78, "word": " يبقى", "probability": 0.93212890625}, {"start": 126.78, "end": 127.44, "word": " بدنا", "probability": 0.833740234375}, {"start": 127.44, "end": 127.86, "word": " ..", "probability": 0.51904296875}, {"start": 127.86, "end": 129.06, "word": " بدنا", "probability": 0.89892578125}, {"start": 129.06, "end": 130.1, "word": " نروح", "probability": 0.8333333333333334}, {"start": 130.1, "end": 131.02, "word": " نعطيها", "probability": 0.8919921875}, {"start": 131.02, "end": 131.84, "word": " الملاحظة", "probability": 0.97275390625}, {"start": 131.84, "end": 132.14, "word": " هذه", "probability": 0.79052734375}, {"start": 132.14, "end": 132.68, "word": " ثم", "probability": 0.98095703125}, {"start": 132.68, "end": 133.44, "word": " ندخل", "probability": 0.994140625}, {"start": 133.44, "end": 134.0, "word": " في", "probability": 0.84228515625}, {"start": 134.0, "end": 134.92, "word": " الحالة", "probability": 0.9645182291666666}, {"start": 134.92, "end": 135.3, "word": " لإن", "probability": 0.5747884114583334}, {"start": 135.3, "end": 135.6, "word": " هذا", "probability": 0.71875}, {"start": 135.6, "end": 135.78, "word": " أو", "probability": 0.56640625}, {"start": 135.78, "end": 135.96, "word": " في", "probability": 0.71044921875}, {"start": 135.96, "end": 136.5, "word": " كيفية", "probability": 0.9925130208333334}, {"start": 136.5, "end": 137.16, "word": " التعامل", "probability": 0.993408203125}, {"start": 137.16, "end": 137.32, "word": " مع", "probability": 0.97216796875}, {"start": 137.32, "end": 137.72, "word": " مثل", "probability": 0.988525390625}, {"start": 137.72, "end": 138.24, "word": " هذه", "probability": 0.982421875}, {"start": 138.24, "end": 139.68, "word": " الحالة", "probability": 0.9895833333333334}, {"start": 139.68, "end": 140.58, "word": " ال", "probability": 0.83544921875}, {"start": 140.58, "end": 140.94, "word": " remark", "probability": 0.79638671875}, {"start": 140.94, "end": 141.46, "word": " بتقول", "probability": 0.98388671875}, {"start": 141.46, "end": 142.06, "word": " إيه؟", "probability": 0.80059814453125}, {"start": 142.06, "end": 142.3, "word": " لو", "probability": 0.880859375}, {"start": 142.3, "end": 142.66, "word": " كان", "probability": 0.970703125}, {"start": 142.66, "end": 143.04, "word": " limit", "probability": 0.9013671875}, {"start": 143.04, "end": 143.46, "word": " لإن", "probability": 0.6397705078125}, {"start": 143.46, "end": 143.64, "word": " ال", "probability": 0.67822265625}, {"start": 143.64, "end": 143.84, "word": " f", "probability": 0.51025390625}, {"start": 143.84, "end": 144.08, "word": " of", "probability": 0.705078125}, {"start": 144.08, "end": 144.36, "word": " x", "probability": 0.9375}, {"start": 144.36, "end": 144.68, "word": " لما", "probability": 0.89599609375}, {"start": 144.68, "end": 144.82, "word": " ال", "probability": 0.96240234375}, {"start": 144.82, "end": 145.06, "word": " x", "probability": 0.77978515625}, {"start": 145.06, "end": 145.44, "word": " بده", "probability": 0.776123046875}, {"start": 145.44, "end": 145.8, "word": " يروح", "probability": 0.9934895833333334}, {"start": 145.8, "end": 146.06, "word": " ل", "probability": 0.91552734375}, {"start": 146.06, "end": 146.58, "word": " zero", "probability": 0.52392578125}, {"start": 146.58, "end": 147.14, "word": " بده", "probability": 0.872314453125}, {"start": 147.14, "end": 147.8, "word": " يساوي", "probability": 0.9195556640625}, {"start": 147.8, "end": 148.04, "word": " ال", "probability": 0.92919921875}, {"start": 148.04, "end": 148.6, "word": " L", "probability": 0.410400390625}, {"start": 148.6, "end": 149.16, "word": " then", "probability": 0.64892578125}], "temperature": 1.0}, {"id": 8, "seek": 17769, "start": 150.41, "end": 177.69, "text": "بنرجع لمعلوماتنا عن ال limit لما دراسنا ال limit في calculus ايه لجينا ان ال limit عندها صلاحيات كتيرة جدا بتدخل على الجثه اللي مرفوه لأوسف تدخل تحت الجدور تدخل على الذنب تبع النسبة المثلثية اربعة في هذا الفصل بتدخل على اللي جوا الان", "tokens": [3555, 1863, 47341, 3615, 32767, 30241, 20498, 9307, 8315, 18871, 2423, 4948, 5296, 15042, 11778, 23557, 3794, 8315, 2423, 4948, 8978, 33400, 1975, 1829, 3224, 5296, 7435, 1829, 8315, 16472, 2423, 4948, 43242, 11296, 20328, 15040, 5016, 1829, 9307, 9122, 2655, 48923, 10874, 28259, 39894, 3215, 9778, 1211, 15844, 25724, 12984, 3224, 13672, 1829, 3714, 28480, 2407, 3224, 5296, 10721, 41779, 5172, 6055, 3215, 9778, 1211, 6055, 33753, 25724, 3215, 13063, 6055, 3215, 9778, 1211, 15844, 32545, 1863, 3555, 6055, 3555, 3615, 28239, 35457, 3660, 9673, 12984, 1211, 12984, 10632, 1975, 25513, 27884, 8978, 23758, 27188, 36520, 39894, 3215, 9778, 1211, 15844, 13672, 1829, 10874, 14407, 2423, 7649], "avg_logprob": -0.3047591633752945, "compression_ratio": 1.8867924528301887, "no_speech_prob": 0.0, "words": [{"start": 150.41, "end": 150.97, "word": "بنرجع", "probability": 0.6737060546875}, {"start": 150.97, "end": 152.13, "word": " لمعلوماتنا", "probability": 0.9330078125}, {"start": 152.13, "end": 152.37, "word": " عن", "probability": 0.94091796875}, {"start": 152.37, "end": 152.57, "word": " ال", "probability": 0.75}, {"start": 152.57, "end": 152.87, "word": " limit", "probability": 0.75927734375}, {"start": 152.87, "end": 153.29, "word": " لما", "probability": 0.85498046875}, {"start": 153.29, "end": 153.83, "word": " دراسنا", "probability": 0.8258056640625}, {"start": 153.83, "end": 153.97, "word": " ال", "probability": 0.472900390625}, {"start": 153.97, "end": 154.19, "word": " limit", "probability": 0.9560546875}, {"start": 154.19, "end": 154.41, "word": " في", "probability": 0.830078125}, {"start": 154.41, "end": 154.89, "word": " calculus", "probability": 0.73193359375}, {"start": 154.89, "end": 155.77, "word": " ايه", "probability": 0.7256673177083334}, {"start": 155.77, "end": 156.57, "word": " لجينا", "probability": 0.7802734375}, {"start": 156.57, "end": 157.47, "word": " ان", "probability": 0.833984375}, {"start": 157.47, "end": 157.69, "word": " ال", "probability": 0.7724609375}, {"start": 157.69, "end": 157.93, "word": " limit", "probability": 0.95849609375}, {"start": 157.93, "end": 158.41, "word": " عندها", "probability": 0.971923828125}, {"start": 158.41, "end": 159.61, "word": " صلاحيات", "probability": 0.96923828125}, {"start": 159.61, "end": 160.15, "word": " كتيرة", "probability": 0.7928059895833334}, {"start": 160.15, "end": 160.71, "word": " جدا", "probability": 0.989990234375}, {"start": 160.71, "end": 162.19, "word": " بتدخل", "probability": 0.805419921875}, {"start": 162.19, "end": 162.45, "word": " على", "probability": 0.9169921875}, {"start": 162.45, "end": 162.99, "word": " الجثه", "probability": 0.5015055338541666}, {"start": 162.99, "end": 163.17, "word": " اللي", "probability": 0.702880859375}, {"start": 163.17, "end": 163.71, "word": " مرفوه", "probability": 0.935302734375}, {"start": 163.71, "end": 164.63, "word": " لأوسف", "probability": 0.46527099609375}, {"start": 164.63, "end": 166.59, "word": " تدخل", "probability": 0.75848388671875}, {"start": 166.59, "end": 166.99, "word": " تحت", "probability": 0.991943359375}, {"start": 166.99, "end": 168.43, "word": " الجدور", "probability": 0.7096354166666666}, {"start": 168.43, "end": 170.23, "word": " تدخل", "probability": 0.9295654296875}, {"start": 170.23, "end": 170.43, "word": " على", "probability": 0.89794921875}, {"start": 170.43, "end": 170.95, "word": " الذنب", "probability": 0.5501708984375}, {"start": 170.95, "end": 171.37, "word": " تبع", "probability": 0.7942708333333334}, {"start": 171.37, "end": 171.97, "word": " النسبة", "probability": 0.8805338541666666}, {"start": 171.97, "end": 173.09, "word": " المثلثية", "probability": 0.88994140625}, {"start": 173.09, "end": 174.23, "word": " اربعة", "probability": 0.7330729166666666}, {"start": 174.23, "end": 174.41, "word": " في", "probability": 0.9267578125}, {"start": 174.41, "end": 174.63, "word": " هذا", "probability": 0.87548828125}, {"start": 174.63, "end": 175.05, "word": " الفصل", "probability": 0.83349609375}, {"start": 175.05, "end": 175.91, "word": " بتدخل", "probability": 0.81329345703125}, {"start": 175.91, "end": 176.15, "word": " على", "probability": 0.87939453125}, {"start": 176.15, "end": 176.47, "word": " اللي", "probability": 0.852783203125}, {"start": 176.47, "end": 176.93, "word": " جوا", "probability": 0.798583984375}, {"start": 176.93, "end": 177.69, "word": " الان", "probability": 0.44403076171875}], "temperature": 1.0}, {"id": 9, "seek": 20327, "start": 178.35, "end": 203.27, "text": "هى على الكمية اللى جوا منه اللين اذا بناء عليها هندخلها جوا من اللين اللين هذه تتعدى الحدود والسدود والقيود ماعرفش بقدر اقول هى كأنها من وين من الأمم المتحدة طبعا يبقى بدى اروح ادخل ال limit داخل من؟ داخل اللين يبقى بناء عليها بقدر اقول ان اللين", "tokens": [3224, 7578, 15844, 33251, 2304, 10632, 13672, 7578, 10874, 14407, 9154, 3224, 13672, 9957, 1975, 15730, 44945, 16606, 25894, 11296, 8032, 41260, 9778, 1211, 11296, 10874, 14407, 9154, 13672, 9957, 13672, 9957, 29538, 6055, 2655, 22488, 7578, 21542, 3215, 23328, 16070, 3794, 3215, 23328, 16070, 4587, 1829, 23328, 19446, 3615, 28480, 8592, 4724, 28543, 2288, 1975, 39648, 8032, 7578, 9122, 33456, 11296, 9154, 4032, 9957, 9154, 16247, 2304, 2304, 9673, 2655, 24401, 3660, 23032, 3555, 3615, 995, 7251, 3555, 4587, 7578, 47525, 7578, 1975, 32887, 5016, 1975, 3215, 9778, 1211, 2423, 4948, 11778, 47283, 1211, 9154, 22807, 11778, 47283, 1211, 13672, 9957, 7251, 3555, 4587, 7578, 44945, 16606, 25894, 11296, 4724, 28543, 2288, 1975, 39648, 16472, 13672, 9957], "avg_logprob": -0.22203255926861482, "compression_ratio": 2.1365853658536587, "no_speech_prob": 0.0, "words": [{"start": 178.35, "end": 179.03, "word": "هى", "probability": 0.26129150390625}, {"start": 179.03, "end": 179.43, "word": " على", "probability": 0.53955078125}, {"start": 179.43, "end": 179.97, "word": " الكمية", "probability": 0.8131510416666666}, {"start": 179.97, "end": 180.15, "word": " اللى", "probability": 0.970947265625}, {"start": 180.15, "end": 180.43, "word": " جوا", "probability": 0.862060546875}, {"start": 180.43, "end": 180.93, "word": " منه", "probability": 0.55328369140625}, {"start": 180.93, "end": 181.57, "word": " اللين", "probability": 0.4049072265625}, {"start": 181.57, "end": 182.17, "word": " اذا", "probability": 0.6044921875}, {"start": 182.17, "end": 182.63, "word": " بناء", "probability": 0.89697265625}, {"start": 182.63, "end": 183.09, "word": " عليها", "probability": 0.6368408203125}, {"start": 183.09, "end": 183.85, "word": " هندخلها", "probability": 0.83359375}, {"start": 183.85, "end": 184.17, "word": " جوا", "probability": 0.957275390625}, {"start": 184.17, "end": 184.37, "word": " من", "probability": 0.92041015625}, {"start": 184.37, "end": 185.05, "word": " اللين", "probability": 0.949462890625}, {"start": 185.05, "end": 185.41, "word": " اللين", "probability": 0.9189453125}, {"start": 185.41, "end": 185.77, "word": " هذه", "probability": 0.374267578125}, {"start": 185.77, "end": 186.49, "word": " تتعدى", "probability": 0.9686279296875}, {"start": 186.49, "end": 187.13, "word": " الحدود", "probability": 0.98828125}, {"start": 187.13, "end": 187.87, "word": " والسدود", "probability": 0.9183349609375}, {"start": 187.87, "end": 188.59, "word": " والقيود", "probability": 0.8746337890625}, {"start": 188.59, "end": 189.41, "word": " ماعرفش", "probability": 0.75592041015625}, {"start": 189.41, "end": 189.73, "word": " بقدر", "probability": 0.8898111979166666}, {"start": 189.73, "end": 190.05, "word": " اقول", "probability": 0.9091796875}, {"start": 190.05, "end": 190.67, "word": " هى", "probability": 0.92578125}, {"start": 190.67, "end": 191.35, "word": " كأنها", "probability": 0.9270833333333334}, {"start": 191.35, "end": 191.51, "word": " من", "probability": 0.97802734375}, {"start": 191.51, "end": 191.81, "word": " وين", "probability": 0.7071533203125}, {"start": 191.81, "end": 191.97, "word": " من", "probability": 0.91064453125}, {"start": 191.97, "end": 192.35, "word": " الأمم", "probability": 0.853515625}, {"start": 192.35, "end": 193.33, "word": " المتحدة", "probability": 0.9700927734375}, {"start": 193.33, "end": 194.15, "word": " طبعا", "probability": 0.86004638671875}, {"start": 194.15, "end": 194.93, "word": " يبقى", "probability": 0.9114990234375}, {"start": 194.93, "end": 195.11, "word": " بدى", "probability": 0.4603271484375}, {"start": 195.11, "end": 195.45, "word": " اروح", "probability": 0.8575846354166666}, {"start": 195.45, "end": 196.05, "word": " ادخل", "probability": 0.92822265625}, {"start": 196.05, "end": 196.15, "word": " ال", "probability": 0.65283203125}, {"start": 196.15, "end": 196.35, "word": " limit", "probability": 0.953125}, {"start": 196.35, "end": 196.83, "word": " داخل", "probability": 0.95849609375}, {"start": 196.83, "end": 197.43, "word": " من؟", "probability": 0.5185546875}, {"start": 197.43, "end": 198.39, "word": " داخل", "probability": 0.9645182291666666}, {"start": 198.39, "end": 198.99, "word": " اللين", "probability": 0.971923828125}, {"start": 198.99, "end": 199.85, "word": " يبقى", "probability": 0.959228515625}, {"start": 199.85, "end": 200.27, "word": " بناء", "probability": 0.9443359375}, {"start": 200.27, "end": 200.81, "word": " عليها", "probability": 0.6741943359375}, {"start": 200.81, "end": 201.29, "word": " بقدر", "probability": 0.9864908854166666}, {"start": 201.29, "end": 201.77, "word": " اقول", "probability": 0.9599609375}, {"start": 201.77, "end": 202.39, "word": " ان", "probability": 0.85205078125}, {"start": 202.39, "end": 203.27, "word": " اللين", "probability": 0.880859375}], "temperature": 1.0}, {"id": 10, "seek": 21869, "start": 203.59, "end": 218.69, "text": "للـ limit f of x لما الـ x بدها تروح الى a الكلام هذا كله بده يساوي الـ L إذا بإمكاننا نتخلص من هذه اللينة", "tokens": [1211, 1211, 39184, 4948, 283, 295, 2031, 5296, 15042, 2423, 39184, 2031, 47525, 11296, 6055, 32887, 5016, 2423, 7578, 257, 2423, 28820, 10943, 23758, 28242, 3224, 47525, 3224, 7251, 3794, 995, 45865, 2423, 39184, 441, 11933, 15730, 4724, 28814, 2304, 41361, 8315, 8717, 2655, 9778, 1211, 9381, 9154, 29538, 13672, 9957, 3660], "avg_logprob": -0.4080188746722239, "compression_ratio": 1.3643410852713178, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 203.59, "end": 204.35, "word": "للـ", "probability": 0.382080078125}, {"start": 204.35, "end": 204.77, "word": " limit", "probability": 0.59326171875}, {"start": 204.77, "end": 205.73, "word": " f", "probability": 0.33251953125}, {"start": 205.73, "end": 206.23, "word": " of", "probability": 0.228759765625}, {"start": 206.23, "end": 206.69, "word": " x", "probability": 0.89501953125}, {"start": 206.69, "end": 207.21, "word": " لما", "probability": 0.6697998046875}, {"start": 207.21, "end": 207.49, "word": " الـ", "probability": 0.60205078125}, {"start": 207.49, "end": 207.83, "word": " x", "probability": 0.75732421875}, {"start": 207.83, "end": 208.39, "word": " بدها", "probability": 0.829345703125}, {"start": 208.39, "end": 209.01, "word": " تروح", "probability": 0.85546875}, {"start": 209.01, "end": 209.63, "word": " الى", "probability": 0.6878662109375}, {"start": 209.63, "end": 210.03, "word": " a", "probability": 0.82080078125}, {"start": 210.03, "end": 210.99, "word": " الكلام", "probability": 0.7148844401041666}, {"start": 210.99, "end": 211.33, "word": " هذا", "probability": 0.6640625}, {"start": 211.33, "end": 211.69, "word": " كله", "probability": 0.913818359375}, {"start": 211.69, "end": 211.97, "word": " بده", "probability": 0.5919189453125}, {"start": 211.97, "end": 214.03, "word": " يساوي", "probability": 0.9075927734375}, {"start": 214.03, "end": 214.35, "word": " الـ", "probability": 0.2838134765625}, {"start": 214.35, "end": 214.55, "word": " L", "probability": 0.65087890625}, {"start": 214.55, "end": 215.67, "word": " إذا", "probability": 0.523345947265625}, {"start": 215.67, "end": 216.51, "word": " بإمكاننا", "probability": 0.971875}, {"start": 216.51, "end": 217.27, "word": " نتخلص", "probability": 0.92998046875}, {"start": 217.27, "end": 217.51, "word": " من", "probability": 0.98876953125}, {"start": 217.51, "end": 217.93, "word": " هذه", "probability": 0.8857421875}, {"start": 217.93, "end": 218.69, "word": " اللينة", "probability": 0.5936686197916666}], "temperature": 1.0}, {"id": 11, "seek": 23621, "start": 218.73, "end": 236.21, "text": "فبرفع الطرفين كأس لمين للعدد A يبقى إذا E أس لن لlimit لما ال X بدها تروح لل zero لمين لل F of X بده يساوي E أس L", "tokens": [5172, 26890, 5172, 3615, 41950, 28480, 9957, 9122, 10721, 3794, 32767, 9957, 24976, 22488, 3215, 316, 7251, 3555, 4587, 7578, 11933, 15730, 462, 5551, 3794, 5296, 1863, 5296, 4197, 270, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 24976, 4018, 32767, 9957, 24976, 479, 295, 1783, 47525, 3224, 7251, 3794, 995, 45865, 462, 5551, 3794, 441], "avg_logprob": -0.2675107804865673, "compression_ratio": 1.3636363636363635, "no_speech_prob": 0.0, "words": [{"start": 218.73, "end": 219.53, "word": "فبرفع", "probability": 0.8758544921875}, {"start": 219.53, "end": 220.17, "word": " الطرفين", "probability": 0.9737955729166666}, {"start": 220.17, "end": 220.85, "word": " كأس", "probability": 0.6471354166666666}, {"start": 220.85, "end": 221.41, "word": " لمين", "probability": 0.703857421875}, {"start": 221.41, "end": 222.51, "word": " للعدد", "probability": 0.95263671875}, {"start": 222.51, "end": 222.87, "word": " A", "probability": 0.318603515625}, {"start": 222.87, "end": 223.89, "word": " يبقى", "probability": 0.8948974609375}, {"start": 223.89, "end": 224.31, "word": " إذا", "probability": 0.686279296875}, {"start": 224.31, "end": 224.93, "word": " E", "probability": 0.86181640625}, {"start": 224.93, "end": 225.77, "word": " أس", "probability": 0.95703125}, {"start": 225.77, "end": 226.29, "word": " لن", "probability": 0.5364990234375}, {"start": 226.29, "end": 227.27, "word": " لlimit", "probability": 0.6929524739583334}, {"start": 227.27, "end": 228.11, "word": " لما", "probability": 0.87646484375}, {"start": 228.11, "end": 228.31, "word": " ال", "probability": 0.87646484375}, {"start": 228.31, "end": 228.67, "word": " X", "probability": 0.8525390625}, {"start": 228.67, "end": 229.19, "word": " بدها", "probability": 0.79541015625}, {"start": 229.19, "end": 229.65, "word": " تروح", "probability": 0.9925130208333334}, {"start": 229.65, "end": 229.93, "word": " لل", "probability": 0.482421875}, {"start": 229.93, "end": 230.43, "word": " zero", "probability": 0.5}, {"start": 230.43, "end": 231.55, "word": " لمين", "probability": 0.667236328125}, {"start": 231.55, "end": 231.99, "word": " لل", "probability": 0.38232421875}, {"start": 231.99, "end": 232.45, "word": " F", "probability": 0.86474609375}, {"start": 232.45, "end": 232.87, "word": " of", "probability": 0.86669921875}, {"start": 232.87, "end": 233.33, "word": " X", "probability": 0.98095703125}, {"start": 233.33, "end": 233.97, "word": " بده", "probability": 0.555419921875}, {"start": 233.97, "end": 234.47, "word": " يساوي", "probability": 0.87353515625}, {"start": 234.47, "end": 235.11, "word": " E", "probability": 0.97998046875}, {"start": 235.11, "end": 235.85, "word": " أس", "probability": 0.968505859375}, {"start": 235.85, "end": 236.21, "word": " L", "probability": 0.7724609375}], "temperature": 1.0}, {"id": 12, "seek": 24744, "start": 237.58, "end": 247.44, "text": "الـ A قد تكون Zero و قد تكون عدد و قد تكون Infinity كله A", "tokens": [6027, 39184, 316, 12174, 3215, 6055, 30544, 17182, 4032, 12174, 3215, 6055, 30544, 6225, 3215, 3215, 4032, 12174, 3215, 6055, 30544, 34762, 28242, 3224, 316], "avg_logprob": -0.37770431775313157, "compression_ratio": 1.323076923076923, "no_speech_prob": 0.0, "words": [{"start": 237.58, "end": 238.28, "word": "الـ", "probability": 0.388427734375}, {"start": 238.28, "end": 238.7, "word": " A", "probability": 0.58251953125}, {"start": 238.7, "end": 241.96, "word": " قد", "probability": 0.858642578125}, {"start": 241.96, "end": 242.46, "word": " تكون", "probability": 0.95556640625}, {"start": 242.46, "end": 242.94, "word": " Zero", "probability": 0.2122802734375}, {"start": 242.94, "end": 243.5, "word": " و", "probability": 0.6015625}, {"start": 243.5, "end": 243.82, "word": " قد", "probability": 0.78369140625}, {"start": 243.82, "end": 244.28, "word": " تكون", "probability": 0.986572265625}, {"start": 244.28, "end": 244.76, "word": " عدد", "probability": 0.8636067708333334}, {"start": 244.76, "end": 244.88, "word": " و", "probability": 0.78955078125}, {"start": 244.88, "end": 245.18, "word": " قد", "probability": 0.969482421875}, {"start": 245.18, "end": 245.72, "word": " تكون", "probability": 0.99169921875}, {"start": 245.72, "end": 246.42, "word": " Infinity", "probability": 0.371826171875}, {"start": 246.42, "end": 247.16, "word": " كله", "probability": 0.6083984375}, {"start": 247.16, "end": 247.44, "word": " A", "probability": 0.76708984375}], "temperature": 1.0}, {"id": 13, "seek": 27182, "start": 249.78, "end": 271.82, "text": "طيب الآن ال E و ال N دلتان عكس بعض و طبعا حسبنا القيمة E أسلن X يسوى X إذا E أسلن المقدار هذا كله بهذا المقدار يبقى ال limit لما ال X بده يروح إلى A لل F of X بده يسوى 100 T أسل", "tokens": [9566, 1829, 3555, 6024, 48506, 2423, 462, 4032, 2423, 426, 11778, 1211, 2655, 7649, 6225, 4117, 3794, 45030, 11242, 4032, 23032, 3555, 3615, 995, 11331, 35457, 8315, 25062, 32640, 3660, 462, 5551, 3794, 1211, 1863, 1783, 7251, 3794, 2407, 7578, 1783, 11933, 15730, 462, 5551, 3794, 1211, 1863, 9673, 28543, 9640, 23758, 28242, 3224, 39627, 15730, 9673, 28543, 9640, 7251, 3555, 4587, 7578, 2423, 4948, 5296, 15042, 2423, 1783, 47525, 3224, 7251, 32887, 5016, 30731, 316, 24976, 479, 295, 1783, 47525, 3224, 7251, 3794, 2407, 7578, 2319, 314, 5551, 3794, 1211], "avg_logprob": -0.18410325358095375, "compression_ratio": 1.6179775280898876, "no_speech_prob": 0.0, "words": [{"start": 249.78, "end": 250.48, "word": "طيب", "probability": 0.7998046875}, {"start": 250.48, "end": 250.96, "word": " الآن", "probability": 0.630615234375}, {"start": 250.96, "end": 251.16, "word": " ال", "probability": 0.87451171875}, {"start": 251.16, "end": 251.28, "word": " E", "probability": 0.69189453125}, {"start": 251.28, "end": 251.5, "word": " و", "probability": 0.49365234375}, {"start": 251.5, "end": 251.56, "word": " ال", "probability": 0.5341796875}, {"start": 251.56, "end": 251.76, "word": " N", "probability": 0.55322265625}, {"start": 251.76, "end": 252.82, "word": " دلتان", "probability": 0.89599609375}, {"start": 252.82, "end": 253.62, "word": " عكس", "probability": 0.9860026041666666}, {"start": 253.62, "end": 254.12, "word": " بعض", "probability": 0.98388671875}, {"start": 254.12, "end": 254.54, "word": " و", "probability": 0.79052734375}, {"start": 254.54, "end": 255.22, "word": " طبعا", "probability": 0.9041748046875}, {"start": 255.22, "end": 255.76, "word": " حسبنا", "probability": 0.97412109375}, {"start": 255.76, "end": 256.26, "word": " القيمة", "probability": 0.9708658854166666}, {"start": 256.26, "end": 256.44, "word": " E", "probability": 0.94677734375}, {"start": 256.44, "end": 256.88, "word": " أسلن", "probability": 0.672119140625}, {"start": 256.88, "end": 257.16, "word": " X", "probability": 0.94287109375}, {"start": 257.16, "end": 257.66, "word": " يسوى", "probability": 0.7623291015625}, {"start": 257.66, "end": 257.92, "word": " X", "probability": 0.99365234375}, {"start": 257.92, "end": 258.26, "word": " إذا", "probability": 0.693359375}, {"start": 258.26, "end": 258.6, "word": " E", "probability": 0.9365234375}, {"start": 258.6, "end": 259.38, "word": " أسلن", "probability": 0.978759765625}, {"start": 259.38, "end": 260.44, "word": " المقدار", "probability": 0.84716796875}, {"start": 260.44, "end": 260.78, "word": " هذا", "probability": 0.900390625}, {"start": 260.78, "end": 261.28, "word": " كله", "probability": 0.957763671875}, {"start": 261.28, "end": 261.9, "word": " بهذا", "probability": 0.96875}, {"start": 261.9, "end": 262.84, "word": " المقدار", "probability": 0.9874674479166666}, {"start": 262.84, "end": 263.8, "word": " يبقى", "probability": 0.9637451171875}, {"start": 263.8, "end": 264.0, "word": " ال", "probability": 0.54296875}, {"start": 264.0, "end": 264.4, "word": " limit", "probability": 0.91796875}, {"start": 264.4, "end": 264.92, "word": " لما", "probability": 0.915771484375}, {"start": 264.92, "end": 265.12, "word": " ال", "probability": 0.84765625}, {"start": 265.12, "end": 265.48, "word": " X", "probability": 0.990234375}, {"start": 265.48, "end": 265.96, "word": " بده", "probability": 0.5992431640625}, {"start": 265.96, "end": 266.34, "word": " يروح", "probability": 0.98095703125}, {"start": 266.34, "end": 266.68, "word": " إلى", "probability": 0.80029296875}, {"start": 266.68, "end": 267.16, "word": " A", "probability": 0.93994140625}, {"start": 267.16, "end": 267.86, "word": " لل", "probability": 0.499267578125}, {"start": 267.86, "end": 268.3, "word": " F", "probability": 0.84375}, {"start": 268.3, "end": 268.6, "word": " of", "probability": 0.79736328125}, {"start": 268.6, "end": 268.9, "word": " X", "probability": 0.99560546875}, {"start": 268.9, "end": 269.32, "word": " بده", "probability": 0.852294921875}, {"start": 269.32, "end": 269.64, "word": " يسوى", "probability": 0.900146484375}, {"start": 269.64, "end": 270.08, "word": " 100", "probability": 0.42529296875}, {"start": 270.08, "end": 270.94, "word": " T", "probability": 0.7431640625}, {"start": 270.94, "end": 271.82, "word": " أسل", "probability": 0.8499348958333334}], "temperature": 1.0}, {"id": 14, "seek": 29077, "start": 273.09, "end": 290.77, "text": "يبقى من الآن فصاعدا لو كان limit ل لن بل لما ال X تروح أين ما تروح يبقى في هذه الحالة كان هذا النتج يسوي L إذا ال limit يتدل نفسه بدون لن هي عبارة عن E أسهل برقم", "tokens": [1829, 3555, 4587, 7578, 9154, 6024, 48506, 6156, 9381, 995, 22488, 995, 45164, 25961, 4948, 5296, 5296, 1863, 4724, 1211, 5296, 15042, 2423, 1783, 6055, 32887, 5016, 5551, 9957, 19446, 6055, 32887, 5016, 7251, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 25961, 23758, 28239, 2655, 7435, 7251, 3794, 45865, 441, 11933, 15730, 2423, 4948, 7251, 2655, 3215, 1211, 8717, 36178, 3224, 47525, 11536, 5296, 1863, 39896, 6225, 3555, 9640, 3660, 18871, 462, 5551, 3794, 3224, 1211, 4724, 2288, 4587, 2304], "avg_logprob": -0.302019822888258, "compression_ratio": 1.6130952380952381, "no_speech_prob": 0.0, "words": [{"start": 273.09, "end": 273.59, "word": "يبقى", "probability": 0.81982421875}, {"start": 273.59, "end": 273.71, "word": " من", "probability": 0.751953125}, {"start": 273.71, "end": 274.17, "word": " الآن", "probability": 0.584716796875}, {"start": 274.17, "end": 275.17, "word": " فصاعدا", "probability": 0.8693359375}, {"start": 275.17, "end": 275.81, "word": " لو", "probability": 0.48095703125}, {"start": 275.81, "end": 276.31, "word": " كان", "probability": 0.9736328125}, {"start": 276.31, "end": 276.75, "word": " limit", "probability": 0.70361328125}, {"start": 276.75, "end": 277.21, "word": " ل", "probability": 0.81201171875}, {"start": 277.21, "end": 277.79, "word": " لن", "probability": 0.46673583984375}, {"start": 277.79, "end": 278.23, "word": " بل", "probability": 0.798828125}, {"start": 278.23, "end": 278.59, "word": " لما", "probability": 0.5709228515625}, {"start": 278.59, "end": 278.73, "word": " ال", "probability": 0.9052734375}, {"start": 278.73, "end": 278.99, "word": " X", "probability": 0.6142578125}, {"start": 278.99, "end": 279.43, "word": " تروح", "probability": 0.98779296875}, {"start": 279.43, "end": 279.65, "word": " أين", "probability": 0.54046630859375}, {"start": 279.65, "end": 279.83, "word": " ما", "probability": 0.544921875}, {"start": 279.83, "end": 280.29, "word": " تروح", "probability": 0.9938151041666666}, {"start": 280.29, "end": 281.07, "word": " يبقى", "probability": 0.913330078125}, {"start": 281.07, "end": 281.15, "word": " في", "probability": 0.96337890625}, {"start": 281.15, "end": 281.43, "word": " هذه", "probability": 0.9033203125}, {"start": 281.43, "end": 282.17, "word": " الحالة", "probability": 0.9931640625}, {"start": 282.17, "end": 282.47, "word": " كان", "probability": 0.86572265625}, {"start": 282.47, "end": 282.75, "word": " هذا", "probability": 0.96435546875}, {"start": 282.75, "end": 283.13, "word": " النتج", "probability": 0.8479817708333334}, {"start": 283.13, "end": 283.65, "word": " يسوي", "probability": 0.7283528645833334}, {"start": 283.65, "end": 284.09, "word": " L", "probability": 0.356201171875}, {"start": 284.09, "end": 284.71, "word": " إذا", "probability": 0.85498046875}, {"start": 284.71, "end": 284.89, "word": " ال", "probability": 0.8251953125}, {"start": 284.89, "end": 285.23, "word": " limit", "probability": 0.82568359375}, {"start": 285.23, "end": 285.77, "word": " يتدل", "probability": 0.72186279296875}, {"start": 285.77, "end": 286.31, "word": " نفسه", "probability": 0.9482421875}, {"start": 286.31, "end": 286.69, "word": " بدون", "probability": 0.84033203125}, {"start": 286.69, "end": 287.27, "word": " لن", "probability": 0.88525390625}, {"start": 287.27, "end": 287.75, "word": " هي", "probability": 0.8671875}, {"start": 287.75, "end": 288.31, "word": " عبارة", "probability": 0.99560546875}, {"start": 288.31, "end": 288.51, "word": " عن", "probability": 0.98876953125}, {"start": 288.51, "end": 288.97, "word": " E", "probability": 0.55224609375}, {"start": 288.97, "end": 289.69, "word": " أسهل", "probability": 0.45513916015625}, {"start": 289.69, "end": 290.77, "word": " برقم", "probability": 0.7232666015625}], "temperature": 1.0}, {"id": 15, "seek": 31935, "start": 291.11, "end": 319.35, "text": "خلّي هالمعلومة عندك و بدنا نستخدمها في كل حالة من الحالات الثلاث إلا أننا لذلك هروح نعطي أمثلة على هذه الحالات الثلاث كيف الأمثلة؟ كالتالي بروح نقول find the following limits بدنا النهايات التالية", "tokens": [9778, 1211, 11703, 1829, 8032, 6027, 2304, 30241, 20498, 3660, 43242, 4117, 4032, 47525, 8315, 8717, 14851, 9778, 40448, 11296, 8978, 28242, 11331, 6027, 3660, 9154, 21542, 6027, 9307, 6024, 104, 1211, 5718, 104, 11933, 15040, 14739, 8315, 5296, 8848, 23275, 8032, 32887, 5016, 8717, 3615, 9566, 1829, 5551, 2304, 12984, 37977, 15844, 29538, 21542, 6027, 9307, 6024, 104, 1211, 5718, 104, 9122, 33911, 16247, 2304, 12984, 37977, 22807, 9122, 6027, 2655, 6027, 1829, 4724, 32887, 5016, 8717, 39648, 915, 264, 3480, 10406, 47525, 8315, 28239, 11296, 1829, 9307, 16712, 6027, 10632], "avg_logprob": -0.14927755824981198, "compression_ratio": 1.719387755102041, "no_speech_prob": 0.0, "words": [{"start": 291.11, "end": 291.65, "word": "خلّي", "probability": 0.8140869140625}, {"start": 291.65, "end": 292.21, "word": " هالمعلومة", "probability": 0.7695719401041666}, {"start": 292.21, "end": 292.75, "word": " عندك", "probability": 0.986328125}, {"start": 292.75, "end": 293.25, "word": " و", "probability": 0.64208984375}, {"start": 293.25, "end": 293.61, "word": " بدنا", "probability": 0.676513671875}, {"start": 293.61, "end": 295.69, "word": " نستخدمها", "probability": 0.94638671875}, {"start": 295.69, "end": 295.87, "word": " في", "probability": 0.91748046875}, {"start": 295.87, "end": 296.41, "word": " كل", "probability": 0.9775390625}, {"start": 296.41, "end": 296.87, "word": " حالة", "probability": 0.9853515625}, {"start": 296.87, "end": 296.97, "word": " من", "probability": 0.9755859375}, {"start": 296.97, "end": 297.57, "word": " الحالات", "probability": 0.8736979166666666}, {"start": 297.57, "end": 298.45, "word": " الثلاث", "probability": 0.92265625}, {"start": 298.45, "end": 298.73, "word": " إلا", "probability": 0.781005859375}, {"start": 298.73, "end": 299.11, "word": " أننا", "probability": 0.773681640625}, {"start": 299.11, "end": 299.97, "word": " لذلك", "probability": 0.8611653645833334}, {"start": 299.97, "end": 300.49, "word": " هروح", "probability": 0.826171875}, {"start": 300.49, "end": 301.23, "word": " نعطي", "probability": 0.9791259765625}, {"start": 301.23, "end": 302.27, "word": " أمثلة", "probability": 0.9300537109375}, {"start": 302.27, "end": 302.61, "word": " على", "probability": 0.88671875}, {"start": 302.61, "end": 303.13, "word": " هذه", "probability": 0.95849609375}, {"start": 303.13, "end": 304.41, "word": " الحالات", "probability": 0.9908854166666666}, {"start": 304.41, "end": 305.19, "word": " الثلاث", "probability": 0.957421875}, {"start": 305.19, "end": 306.01, "word": " كيف", "probability": 0.89453125}, {"start": 306.01, "end": 306.77, "word": " الأمثلة؟", "probability": 0.9359375}, {"start": 306.77, "end": 307.47, "word": " كالتالي", "probability": 0.8767578125}, {"start": 307.47, "end": 308.47, "word": " بروح", "probability": 0.6747233072916666}, {"start": 308.47, "end": 308.93, "word": " نقول", "probability": 0.957275390625}, {"start": 308.93, "end": 309.83, "word": " find", "probability": 0.57177734375}, {"start": 309.83, "end": 311.11, "word": " the", "probability": 0.89013671875}, {"start": 311.11, "end": 311.75, "word": " following", "probability": 0.87255859375}, {"start": 311.75, "end": 315.85, "word": " limits", "probability": 0.95947265625}, {"start": 315.85, "end": 317.15, "word": " بدنا", "probability": 0.913818359375}, {"start": 317.15, "end": 318.25, "word": " النهايات", "probability": 0.9306640625}, {"start": 318.25, "end": 319.35, "word": " التالية", "probability": 0.9189453125}], "temperature": 1.0}, {"id": 16, "seek": 34744, "start": 320.08, "end": 347.44, "text": "النهاية الأولى بيقول ال limit لما ال x بدها تروح الى infinity لمن؟ ل 1 زائد a على x كله to the power x و ال a is constant", "tokens": [6027, 1863, 11296, 10632, 16247, 12610, 7578, 4724, 1829, 39648, 2423, 4948, 5296, 15042, 2423, 2031, 47525, 11296, 6055, 32887, 5016, 2423, 7578, 13202, 5296, 27842, 22807, 5296, 502, 30767, 16373, 3215, 257, 15844, 2031, 28242, 3224, 281, 264, 1347, 2031, 4032, 2423, 257, 307, 5754], "avg_logprob": -0.25598403621227184, "compression_ratio": 1.25, "no_speech_prob": 0.0, "words": [{"start": 320.08, "end": 320.78, "word": "النهاية", "probability": 0.908203125}, {"start": 320.78, "end": 321.54, "word": " الأولى", "probability": 0.9236653645833334}, {"start": 321.54, "end": 322.42, "word": " بيقول", "probability": 0.8440755208333334}, {"start": 322.42, "end": 322.6, "word": " ال", "probability": 0.27099609375}, {"start": 322.6, "end": 323.16, "word": " limit", "probability": 0.759765625}, {"start": 323.16, "end": 333.48, "word": " لما", "probability": 0.7095947265625}, {"start": 333.48, "end": 333.7, "word": " ال", "probability": 0.86865234375}, {"start": 333.7, "end": 334.14, "word": " x", "probability": 0.4658203125}, {"start": 334.14, "end": 335.12, "word": " بدها", "probability": 0.798095703125}, {"start": 335.12, "end": 335.72, "word": " تروح", "probability": 0.9747721354166666}, {"start": 335.72, "end": 336.2, "word": " الى", "probability": 0.671142578125}, {"start": 336.2, "end": 337.0, "word": " infinity", "probability": 0.81201171875}, {"start": 337.0, "end": 338.38, "word": " لمن؟", "probability": 0.654296875}, {"start": 338.38, "end": 338.58, "word": " ل", "probability": 0.62548828125}, {"start": 338.58, "end": 339.1, "word": " 1", "probability": 0.50830078125}, {"start": 339.1, "end": 340.42, "word": " زائد", "probability": 0.736328125}, {"start": 340.42, "end": 340.9, "word": " a", "probability": 0.86669921875}, {"start": 340.9, "end": 341.36, "word": " على", "probability": 0.56396484375}, {"start": 341.36, "end": 341.88, "word": " x", "probability": 0.97314453125}, {"start": 341.88, "end": 342.9, "word": " كله", "probability": 0.90576171875}, {"start": 342.9, "end": 343.16, "word": " to", "probability": 0.84130859375}, {"start": 343.16, "end": 343.38, "word": " the", "probability": 0.9267578125}, {"start": 343.38, "end": 343.78, "word": " power", "probability": 0.900390625}, {"start": 343.78, "end": 344.36, "word": " x", "probability": 0.9248046875}, {"start": 344.36, "end": 344.98, "word": " و", "probability": 0.400146484375}, {"start": 344.98, "end": 345.22, "word": " ال", "probability": 0.83251953125}, {"start": 345.22, "end": 345.58, "word": " a", "probability": 0.90771484375}, {"start": 345.58, "end": 346.76, "word": " is", "probability": 0.7548828125}, {"start": 346.76, "end": 347.44, "word": " constant", "probability": 0.982421875}], "temperature": 1.0}, {"id": 17, "seek": 37943, "start": 355.13, "end": 379.43, "text": "انظروا يا عزيزي، من حد ما نرى نتيجة التعويض المباشر في مثل، لو طلع أي واحدة من التلاتة دول، بدنا نعمل أربع خطوات لخامس لها، تمام؟ الآن ما هي الخطوات الأربع التي بها سنحصل على حل هذه المثلة؟", "tokens": [7649, 19913, 2288, 14407, 35186, 6225, 11622, 1829, 11622, 1829, 12399, 9154, 11331, 3215, 19446, 8717, 2288, 7578, 8717, 31371, 7435, 3660, 16712, 3615, 45865, 11242, 9673, 3555, 33599, 2288, 8978, 50113, 1211, 12399, 45164, 23032, 1211, 3615, 36632, 36764, 24401, 3660, 9154, 16712, 1211, 9307, 3660, 11778, 12610, 12399, 47525, 8315, 8717, 25957, 1211, 5551, 25513, 3615, 16490, 9566, 2407, 9307, 5296, 9778, 10943, 3794, 5296, 11296, 12399, 46811, 10943, 22807, 6024, 48506, 19446, 39896, 33962, 9566, 2407, 9307, 16247, 25513, 3615, 38392, 4724, 11296, 8608, 1863, 5016, 36520, 15844, 11331, 1211, 29538, 9673, 12984, 37977, 22807], "avg_logprob": -0.24494949615362918, "compression_ratio": 1.7760416666666667, "no_speech_prob": 0.0, "words": [{"start": 355.13, "end": 355.55, "word": "انظروا", "probability": 0.61724853515625}, {"start": 355.55, "end": 355.65, "word": " يا", "probability": 0.85791015625}, {"start": 355.65, "end": 357.67, "word": " عزيزي،", "probability": 0.809814453125}, {"start": 357.67, "end": 357.85, "word": " من", "probability": 0.68115234375}, {"start": 357.85, "end": 358.25, "word": " حد", "probability": 0.919677734375}, {"start": 358.25, "end": 358.37, "word": " ما", "probability": 0.958984375}, {"start": 358.37, "end": 358.99, "word": " نرى", "probability": 0.7766927083333334}, {"start": 358.99, "end": 360.55, "word": " نتيجة", "probability": 0.957763671875}, {"start": 360.55, "end": 361.07, "word": " التعويض", "probability": 0.78619384765625}, {"start": 361.07, "end": 361.75, "word": " المباشر", "probability": 0.85089111328125}, {"start": 361.75, "end": 361.91, "word": " في", "probability": 0.90380859375}, {"start": 361.91, "end": 362.49, "word": " مثل،", "probability": 0.5547892252604166}, {"start": 362.49, "end": 362.61, "word": " لو", "probability": 0.2105712890625}, {"start": 362.61, "end": 363.07, "word": " طلع", "probability": 0.8003743489583334}, {"start": 363.07, "end": 363.43, "word": " أي", "probability": 0.63037109375}, {"start": 363.43, "end": 363.97, "word": " واحدة", "probability": 0.9817708333333334}, {"start": 363.97, "end": 364.11, "word": " من", "probability": 0.99365234375}, {"start": 364.11, "end": 364.85, "word": " التلاتة", "probability": 0.79559326171875}, {"start": 364.85, "end": 365.63, "word": " دول،", "probability": 0.8697916666666666}, {"start": 365.63, "end": 366.03, "word": " بدنا", "probability": 0.51800537109375}, {"start": 366.03, "end": 366.45, "word": " نعمل", "probability": 0.95751953125}, {"start": 366.45, "end": 367.01, "word": " أربع", "probability": 0.8505859375}, {"start": 367.01, "end": 367.89, "word": " خطوات", "probability": 0.9793701171875}, {"start": 367.89, "end": 369.11, "word": " لخامس", "probability": 0.8822021484375}, {"start": 369.11, "end": 370.67, "word": " لها،", "probability": 0.7020670572916666}, {"start": 370.67, "end": 371.53, "word": " تمام؟", "probability": 0.8909505208333334}, {"start": 371.53, "end": 372.23, "word": " الآن", "probability": 0.782470703125}, {"start": 372.23, "end": 372.49, "word": " ما", "probability": 0.6328125}, {"start": 372.49, "end": 372.73, "word": " هي", "probability": 0.9287109375}, {"start": 372.73, "end": 373.43, "word": " الخطوات", "probability": 0.9908447265625}, {"start": 373.43, "end": 374.41, "word": " الأربع", "probability": 0.9713541666666666}, {"start": 374.41, "end": 375.23, "word": " التي", "probability": 0.8984375}, {"start": 375.23, "end": 376.41, "word": " بها", "probability": 0.900634765625}, {"start": 376.41, "end": 377.15, "word": " سنحصل", "probability": 0.977783203125}, {"start": 377.15, "end": 377.37, "word": " على", "probability": 0.97314453125}, {"start": 377.37, "end": 377.81, "word": " حل", "probability": 0.976806640625}, {"start": 377.81, "end": 378.43, "word": " هذه", "probability": 0.931640625}, {"start": 378.43, "end": 379.43, "word": " المثلة؟", "probability": 0.92578125}], "temperature": 1.0}, {"id": 18, "seek": 40245, "start": 381.81, "end": 402.45, "text": "بنشوف قبل كل شيء، مين هذه من الحالات التلاتة اللي عندنا، إذا بدي أحط X بمالة نهاية، عدد على مالة نهاية؟ Zero، درجة درجة؟ واحد، أس؟ نين، الحالة اللي فوق، يبقى التعويض المباشر لهذه الحالة جاب لي واحد أس infinity", "tokens": [3555, 1863, 8592, 38688, 12174, 36150, 28242, 44049, 38207, 12399, 3714, 9957, 29538, 9154, 21542, 6027, 9307, 16712, 1211, 9307, 3660, 13672, 1829, 43242, 8315, 12399, 11933, 15730, 4724, 16254, 5551, 5016, 9566, 1783, 4724, 2304, 6027, 3660, 8717, 11296, 10632, 12399, 6225, 3215, 3215, 15844, 3714, 6027, 3660, 8717, 11296, 10632, 22807, 17182, 12399, 11778, 47341, 3660, 11778, 47341, 3660, 22807, 36764, 24401, 12399, 5551, 3794, 22807, 8717, 9957, 12399, 21542, 6027, 3660, 13672, 1829, 6156, 30543, 12399, 7251, 3555, 4587, 7578, 16712, 3615, 45865, 11242, 9673, 3555, 33599, 2288, 46740, 24192, 21542, 6027, 3660, 10874, 16758, 32239, 36764, 24401, 5551, 3794, 13202], "avg_logprob": -0.2300595306214832, "compression_ratio": 1.7023255813953488, "no_speech_prob": 0.0, "words": [{"start": 381.81, "end": 382.45, "word": "بنشوف", "probability": 0.71905517578125}, {"start": 382.45, "end": 382.85, "word": " قبل", "probability": 0.94970703125}, {"start": 382.85, "end": 383.31, "word": " كل", "probability": 0.98779296875}, {"start": 383.31, "end": 384.11, "word": " شيء،", "probability": 0.5699869791666666}, {"start": 384.11, "end": 384.41, "word": " مين", "probability": 0.838134765625}, {"start": 384.41, "end": 384.73, "word": " هذه", "probability": 0.462890625}, {"start": 384.73, "end": 384.91, "word": " من", "probability": 0.81103515625}, {"start": 384.91, "end": 385.51, "word": " الحالات", "probability": 0.9461263020833334}, {"start": 385.51, "end": 386.09, "word": " التلاتة", "probability": 0.9483642578125}, {"start": 386.09, "end": 386.23, "word": " اللي", "probability": 0.88720703125}, {"start": 386.23, "end": 386.81, "word": " عندنا،", "probability": 0.7848307291666666}, {"start": 386.81, "end": 387.05, "word": " إذا", "probability": 0.805419921875}, {"start": 387.05, "end": 387.37, "word": " بدي", "probability": 0.5537109375}, {"start": 387.37, "end": 387.71, "word": " أحط", "probability": 0.8849283854166666}, {"start": 387.71, "end": 388.05, "word": " X", "probability": 0.51513671875}, {"start": 388.05, "end": 388.63, "word": " بمالة", "probability": 0.7296142578125}, {"start": 388.63, "end": 389.41, "word": " نهاية،", "probability": 0.89013671875}, {"start": 389.41, "end": 389.91, "word": " عدد", "probability": 0.9446614583333334}, {"start": 389.91, "end": 390.07, "word": " على", "probability": 0.775390625}, {"start": 390.07, "end": 390.43, "word": " مالة", "probability": 0.9436848958333334}, {"start": 390.43, "end": 391.17, "word": " نهاية؟", "probability": 0.9041748046875}, {"start": 391.17, "end": 391.89, "word": " Zero،", "probability": 0.6343994140625}, {"start": 391.89, "end": 392.23, "word": " درجة", "probability": 0.8870442708333334}, {"start": 392.23, "end": 392.85, "word": " درجة؟", "probability": 0.794677734375}, {"start": 392.85, "end": 393.71, "word": " واحد،", "probability": 0.7974446614583334}, {"start": 393.71, "end": 394.49, "word": " أس؟", "probability": 0.7337239583333334}, {"start": 394.49, "end": 396.03, "word": " نين،", "probability": 0.3371378580729167}, {"start": 396.03, "end": 396.53, "word": " الحالة", "probability": 0.8553059895833334}, {"start": 396.53, "end": 396.69, "word": " اللي", "probability": 0.950927734375}, {"start": 396.69, "end": 397.37, "word": " فوق،", "probability": 0.9246419270833334}, {"start": 397.37, "end": 397.67, "word": " يبقى", "probability": 0.9403076171875}, {"start": 397.67, "end": 398.25, "word": " التعويض", "probability": 0.9246826171875}, {"start": 398.25, "end": 398.91, "word": " المباشر", "probability": 0.9954833984375}, {"start": 398.91, "end": 399.37, "word": " لهذه", "probability": 0.90380859375}, {"start": 399.37, "end": 399.93, "word": " الحالة", "probability": 0.99560546875}, {"start": 399.93, "end": 400.31, "word": " جاب", "probability": 0.93310546875}, {"start": 400.31, "end": 400.51, "word": " لي", "probability": 0.7861328125}, {"start": 400.51, "end": 401.29, "word": " واحد", "probability": 0.968017578125}, {"start": 401.29, "end": 401.77, "word": " أس", "probability": 0.95703125}, {"start": 401.77, "end": 402.45, "word": " infinity", "probability": 0.33935546875}], "temperature": 1.0}, {"id": 19, "seek": 42616, "start": 403.16, "end": 426.16, "text": "إذا طلعت واحدة من الحلوات التلاتة نذهب إلى الخطوات الأربعة التي نتحدث عنها يبقى بروح بقول الخطوات كتر الخطوة الأولى بتقول افرض ان ال F of X بيساوي واحد زائد A على X to the power X", "tokens": [28814, 15730, 23032, 1211, 34268, 36764, 24401, 3660, 9154, 21542, 1211, 2407, 9307, 16712, 1211, 9307, 3660, 8717, 24192, 3555, 30731, 33962, 9566, 2407, 9307, 16247, 25513, 27884, 38392, 8717, 2655, 24401, 12984, 18871, 11296, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 33962, 9566, 2407, 9307, 9122, 2655, 2288, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 39894, 39648, 1975, 5172, 43042, 16472, 2423, 479, 295, 1783, 4724, 1829, 3794, 995, 45865, 36764, 24401, 30767, 16373, 3215, 316, 15844, 1783, 281, 264, 1347, 1783], "avg_logprob": -0.3272165843220644, "compression_ratio": 1.6666666666666667, "no_speech_prob": 0.0, "words": [{"start": 403.16, "end": 403.52, "word": "إذا", "probability": 0.59576416015625}, {"start": 403.52, "end": 403.98, "word": " طلعت", "probability": 0.8037109375}, {"start": 403.98, "end": 404.36, "word": " واحدة", "probability": 0.982421875}, {"start": 404.36, "end": 404.5, "word": " من", "probability": 0.99267578125}, {"start": 404.5, "end": 404.98, "word": " الحلوات", "probability": 0.696533203125}, {"start": 404.98, "end": 405.7, "word": " التلاتة", "probability": 0.8734130859375}, {"start": 405.7, "end": 406.56, "word": " نذهب", "probability": 0.5182902018229166}, {"start": 406.56, "end": 406.86, "word": " إلى", "probability": 0.402587890625}, {"start": 406.86, "end": 407.46, "word": " الخطوات", "probability": 0.912109375}, {"start": 407.46, "end": 408.26, "word": " الأربعة", "probability": 0.8854166666666666}, {"start": 408.26, "end": 409.16, "word": " التي", "probability": 0.845703125}, {"start": 409.16, "end": 410.14, "word": " نتحدث", "probability": 0.8643798828125}, {"start": 410.14, "end": 410.74, "word": " عنها", "probability": 0.9931640625}, {"start": 410.74, "end": 411.62, "word": " يبقى", "probability": 0.647979736328125}, {"start": 411.62, "end": 412.04, "word": " بروح", "probability": 0.62646484375}, {"start": 412.04, "end": 412.6, "word": " بقول", "probability": 0.656005859375}, {"start": 412.6, "end": 414.26, "word": " الخطوات", "probability": 0.884765625}, {"start": 414.26, "end": 414.92, "word": " كتر", "probability": 0.724609375}, {"start": 414.92, "end": 415.66, "word": " الخطوة", "probability": 0.930908203125}, {"start": 415.66, "end": 416.34, "word": " الأولى", "probability": 0.9847005208333334}, {"start": 416.34, "end": 417.32, "word": " بتقول", "probability": 0.59259033203125}, {"start": 417.32, "end": 418.34, "word": " افرض", "probability": 0.7888997395833334}, {"start": 418.34, "end": 419.14, "word": " ان", "probability": 0.7197265625}, {"start": 419.14, "end": 419.44, "word": " ال", "probability": 0.440185546875}, {"start": 419.44, "end": 419.86, "word": " F", "probability": 0.63330078125}, {"start": 419.86, "end": 420.34, "word": " of", "probability": 0.73486328125}, {"start": 420.34, "end": 420.86, "word": " X", "probability": 0.91162109375}, {"start": 420.86, "end": 422.08, "word": " بيساوي", "probability": 0.646826171875}, {"start": 422.08, "end": 422.7, "word": " واحد", "probability": 0.675537109375}, {"start": 422.7, "end": 423.4, "word": " زائد", "probability": 0.91162109375}, {"start": 423.4, "end": 423.76, "word": " A", "probability": 0.66015625}, {"start": 423.76, "end": 424.4, "word": " على", "probability": 0.59521484375}, {"start": 424.4, "end": 424.84, "word": " X", "probability": 0.97900390625}, {"start": 424.84, "end": 425.1, "word": " to", "probability": 0.8359375}, {"start": 425.1, "end": 425.26, "word": " the", "probability": 0.88720703125}, {"start": 425.26, "end": 425.66, "word": " power", "probability": 0.841796875}, {"start": 425.66, "end": 426.16, "word": " X", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 20, "seek": 45063, "start": 428.91, "end": 450.63, "text": "فرضنا ان f of x هي الدالة المراد إيجاد ال limit لها الخطوة الثانية بتروح تاخد لن للطرفين يبجى لن ال f of x بده يساوي لن واحد زائد a على x to the power x", "tokens": [5172, 43042, 8315, 16472, 283, 295, 2031, 39896, 32748, 6027, 3660, 9673, 2288, 18513, 11933, 1829, 7435, 18513, 2423, 4948, 5296, 11296, 33962, 9566, 2407, 3660, 6024, 104, 7649, 10632, 39894, 32887, 5016, 6055, 47283, 3215, 5296, 1863, 24976, 9566, 28480, 9957, 7251, 3555, 7435, 7578, 5296, 1863, 2423, 283, 295, 2031, 47525, 3224, 7251, 3794, 995, 45865, 5296, 1863, 36764, 24401, 30767, 16373, 3215, 257, 15844, 2031, 281, 264, 1347, 2031], "avg_logprob": -0.21211473255941313, "compression_ratio": 1.49079754601227, "no_speech_prob": 0.0, "words": [{"start": 428.91, "end": 429.47, "word": "فرضنا", "probability": 0.8955078125}, {"start": 429.47, "end": 429.63, "word": " ان", "probability": 0.464599609375}, {"start": 429.63, "end": 429.83, "word": " f", "probability": 0.229248046875}, {"start": 429.83, "end": 429.99, "word": " of", "probability": 0.13525390625}, {"start": 429.99, "end": 430.21, "word": " x", "probability": 0.87939453125}, {"start": 430.21, "end": 430.51, "word": " هي", "probability": 0.9658203125}, {"start": 430.51, "end": 431.07, "word": " الدالة", "probability": 0.9088541666666666}, {"start": 431.07, "end": 431.63, "word": " المراد", "probability": 0.8644205729166666}, {"start": 431.63, "end": 432.15, "word": " إيجاد", "probability": 0.8748779296875}, {"start": 432.15, "end": 432.31, "word": " ال", "probability": 0.74853515625}, {"start": 432.31, "end": 432.59, "word": " limit", "probability": 0.6455078125}, {"start": 432.59, "end": 433.09, "word": " لها", "probability": 0.802978515625}, {"start": 433.09, "end": 434.35, "word": " الخطوة", "probability": 0.947998046875}, {"start": 434.35, "end": 435.13, "word": " الثانية", "probability": 0.9482421875}, {"start": 435.13, "end": 436.77, "word": " بتروح", "probability": 0.8243815104166666}, {"start": 436.77, "end": 437.37, "word": " تاخد", "probability": 0.9847005208333334}, {"start": 437.37, "end": 438.05, "word": " لن", "probability": 0.35650634765625}, {"start": 438.05, "end": 439.43, "word": " للطرفين", "probability": 0.977294921875}, {"start": 439.43, "end": 440.89, "word": " يبجى", "probability": 0.78424072265625}, {"start": 440.89, "end": 441.41, "word": " لن", "probability": 0.923583984375}, {"start": 441.41, "end": 442.07, "word": " ال", "probability": 0.810546875}, {"start": 442.07, "end": 442.49, "word": " f", "probability": 0.56884765625}, {"start": 442.49, "end": 442.91, "word": " of", "probability": 0.9599609375}, {"start": 442.91, "end": 443.45, "word": " x", "probability": 0.9755859375}, {"start": 443.45, "end": 444.25, "word": " بده", "probability": 0.41943359375}, {"start": 444.25, "end": 444.89, "word": " يساوي", "probability": 0.948486328125}, {"start": 444.89, "end": 445.65, "word": " لن", "probability": 0.93212890625}, {"start": 445.65, "end": 446.83, "word": " واحد", "probability": 0.884521484375}, {"start": 446.83, "end": 447.69, "word": " زائد", "probability": 0.86181640625}, {"start": 447.69, "end": 448.01, "word": " a", "probability": 0.89599609375}, {"start": 448.01, "end": 448.31, "word": " على", "probability": 0.623046875}, {"start": 448.31, "end": 448.81, "word": " x", "probability": 0.9521484375}, {"start": 448.81, "end": 449.29, "word": " to", "probability": 0.92529296875}, {"start": 449.29, "end": 449.53, "word": " the", "probability": 0.92236328125}, {"start": 449.53, "end": 450.01, "word": " power", "probability": 0.89892578125}, {"start": 450.01, "end": 450.63, "word": " x", "probability": 0.861328125}], "temperature": 1.0}, {"id": 21, "seek": 47620, "start": 451.76, "end": 476.2, "text": "هذا ماذا يعطي لك؟ ان ال len f of x بده يساوي هذا يعتبر أسل كمية داخل ال len يبقى الأسل بنقوله شرفنا برا حسب خواص ال len يبقى x في len واحد زائد a على x خلصنا الخطوة التانية الخطوة التالتة", "tokens": [3224, 15730, 3714, 45636, 995, 37495, 9566, 1829, 5296, 4117, 22807, 16472, 2423, 40116, 283, 295, 2031, 47525, 3224, 7251, 3794, 995, 45865, 23758, 7251, 34268, 26890, 5551, 3794, 1211, 9122, 2304, 10632, 11778, 47283, 1211, 2423, 40116, 7251, 3555, 4587, 7578, 16247, 3794, 1211, 44945, 39648, 3224, 13412, 28480, 8315, 4724, 23557, 11331, 35457, 16490, 14407, 9381, 2423, 40116, 7251, 3555, 4587, 7578, 2031, 8978, 40116, 36764, 24401, 30767, 16373, 3215, 257, 15844, 2031, 16490, 1211, 9381, 8315, 33962, 9566, 2407, 3660, 16712, 7649, 10632, 33962, 9566, 2407, 3660, 16712, 6027, 2655, 3660], "avg_logprob": -0.2921052725691544, "compression_ratio": 1.7444444444444445, "no_speech_prob": 0.0, "words": [{"start": 451.76, "end": 452.28, "word": "هذا", "probability": 0.67919921875}, {"start": 452.28, "end": 452.42, "word": " ماذا", "probability": 0.65753173828125}, {"start": 452.42, "end": 453.02, "word": " يعطي", "probability": 0.69287109375}, {"start": 453.02, "end": 453.62, "word": " لك؟", "probability": 0.40850830078125}, {"start": 453.62, "end": 454.12, "word": " ان", "probability": 0.6640625}, {"start": 454.12, "end": 454.44, "word": " ال", "probability": 0.6279296875}, {"start": 454.44, "end": 454.76, "word": " len", "probability": 0.04827880859375}, {"start": 454.76, "end": 455.86, "word": " f", "probability": 0.2294921875}, {"start": 455.86, "end": 456.3, "word": " of", "probability": 0.39794921875}, {"start": 456.3, "end": 456.72, "word": " x", "probability": 0.85107421875}, {"start": 456.72, "end": 457.28, "word": " بده", "probability": 0.26806640625}, {"start": 457.28, "end": 457.8, "word": " يساوي", "probability": 0.9307861328125}, {"start": 457.8, "end": 458.62, "word": " هذا", "probability": 0.46533203125}, {"start": 458.62, "end": 459.3, "word": " يعتبر", "probability": 0.93359375}, {"start": 459.3, "end": 459.82, "word": " أسل", "probability": 0.6261393229166666}, {"start": 459.82, "end": 460.42, "word": " كمية", "probability": 0.90966796875}, {"start": 460.42, "end": 460.92, "word": " داخل", "probability": 0.9615885416666666}, {"start": 460.92, "end": 461.06, "word": " ال", "probability": 0.859375}, {"start": 461.06, "end": 461.3, "word": " len", "probability": 0.79541015625}, {"start": 461.3, "end": 462.18, "word": " يبقى", "probability": 0.9295654296875}, {"start": 462.18, "end": 462.54, "word": " الأسل", "probability": 0.8582356770833334}, {"start": 462.54, "end": 463.02, "word": " بنقوله", "probability": 0.515869140625}, {"start": 463.02, "end": 464.2, "word": " شرفنا", "probability": 0.83544921875}, {"start": 464.2, "end": 464.66, "word": " برا", "probability": 0.8486328125}, {"start": 464.66, "end": 465.4, "word": " حسب", "probability": 0.892578125}, {"start": 465.4, "end": 466.1, "word": " خواص", "probability": 0.8831380208333334}, {"start": 466.1, "end": 466.26, "word": " ال", "probability": 0.95751953125}, {"start": 466.26, "end": 466.52, "word": " len", "probability": 0.890625}, {"start": 466.52, "end": 467.6, "word": " يبقى", "probability": 0.9693603515625}, {"start": 467.6, "end": 468.0, "word": " x", "probability": 0.86669921875}, {"start": 468.0, "end": 468.48, "word": " في", "probability": 0.82080078125}, {"start": 468.48, "end": 468.92, "word": " len", "probability": 0.81689453125}, {"start": 468.92, "end": 470.26, "word": " واحد", "probability": 0.83642578125}, {"start": 470.26, "end": 471.5, "word": " زائد", "probability": 0.9031575520833334}, {"start": 471.5, "end": 471.86, "word": " a", "probability": 0.91259765625}, {"start": 471.86, "end": 472.2, "word": " على", "probability": 0.68994140625}, {"start": 472.2, "end": 472.68, "word": " x", "probability": 0.96826171875}, {"start": 472.68, "end": 473.52, "word": " خلصنا", "probability": 0.95849609375}, {"start": 473.52, "end": 473.96, "word": " الخطوة", "probability": 0.9788818359375}, {"start": 473.96, "end": 474.54, "word": " التانية", "probability": 0.9461263020833334}, {"start": 474.54, "end": 475.5, "word": " الخطوة", "probability": 0.9754638671875}, {"start": 475.5, "end": 476.2, "word": " التالتة", "probability": 0.968505859375}], "temperature": 1.0}, {"id": 22, "seek": 50707, "start": 477.09, "end": 507.07, "text": "الخطوة التالتة بدنا نروح ناخد ال limit للطرفين يبقى limit لما ال x بدها تروح لل infinity لمن؟ لمن ال f of x بدها تساوي ال limit لما ال x بدها تروح لل infinity لمن؟ لل x فمن 1 زائد a على x", "tokens": [6027, 9778, 9566, 2407, 3660, 16712, 6027, 2655, 3660, 47525, 8315, 8717, 32887, 5016, 8717, 47283, 3215, 2423, 4948, 24976, 9566, 28480, 9957, 7251, 3555, 4587, 7578, 4948, 5296, 15042, 2423, 2031, 47525, 11296, 6055, 32887, 5016, 24976, 13202, 5296, 27842, 22807, 5296, 27842, 2423, 283, 295, 2031, 47525, 11296, 6055, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 2031, 47525, 11296, 6055, 32887, 5016, 24976, 13202, 5296, 27842, 22807, 24976, 2031, 6156, 27842, 502, 30767, 16373, 3215, 257, 15844, 2031], "avg_logprob": -0.20865091354381748, "compression_ratio": 1.8774193548387097, "no_speech_prob": 0.00534820556640625, "words": [{"start": 477.09, "end": 477.91, "word": "الخطوة", "probability": 0.8486328125}, {"start": 477.91, "end": 478.59, "word": " التالتة", "probability": 0.9573974609375}, {"start": 478.59, "end": 479.07, "word": " بدنا", "probability": 0.85400390625}, {"start": 479.07, "end": 479.61, "word": " نروح", "probability": 0.796630859375}, {"start": 479.61, "end": 480.27, "word": " ناخد", "probability": 0.8846028645833334}, {"start": 480.27, "end": 480.51, "word": " ال", "probability": 0.66064453125}, {"start": 480.51, "end": 480.87, "word": " limit", "probability": 0.92529296875}, {"start": 480.87, "end": 482.11, "word": " للطرفين", "probability": 0.69635009765625}, {"start": 482.11, "end": 483.17, "word": " يبقى", "probability": 0.9359130859375}, {"start": 483.17, "end": 483.73, "word": " limit", "probability": 0.986328125}, {"start": 483.73, "end": 484.65, "word": " لما", "probability": 0.911865234375}, {"start": 484.65, "end": 484.87, "word": " ال", "probability": 0.94921875}, {"start": 484.87, "end": 485.27, "word": " x", "probability": 0.457275390625}, {"start": 485.27, "end": 485.85, "word": " بدها", "probability": 0.974609375}, {"start": 485.85, "end": 486.47, "word": " تروح", "probability": 0.9952799479166666}, {"start": 486.47, "end": 486.91, "word": " لل", "probability": 0.81005859375}, {"start": 486.91, "end": 487.81, "word": " infinity", "probability": 0.77734375}, {"start": 487.81, "end": 489.31, "word": " لمن؟", "probability": 0.79833984375}, {"start": 489.31, "end": 490.21, "word": " لمن", "probability": 0.4622802734375}, {"start": 490.21, "end": 490.53, "word": " ال", "probability": 0.66650390625}, {"start": 490.53, "end": 491.03, "word": " f", "probability": 0.5810546875}, {"start": 491.03, "end": 491.59, "word": " of", "probability": 0.54931640625}, {"start": 491.59, "end": 492.11, "word": " x", "probability": 0.98486328125}, {"start": 492.11, "end": 492.99, "word": " بدها", "probability": 0.8583984375}, {"start": 492.99, "end": 493.59, "word": " تساوي", "probability": 0.967529296875}, {"start": 493.59, "end": 493.79, "word": " ال", "probability": 0.59619140625}, {"start": 493.79, "end": 494.29, "word": " limit", "probability": 0.98828125}, {"start": 494.29, "end": 495.17, "word": " لما", "probability": 0.96484375}, {"start": 495.17, "end": 495.37, "word": " ال", "probability": 0.94970703125}, {"start": 495.37, "end": 495.83, "word": " x", "probability": 0.97216796875}, {"start": 495.83, "end": 496.65, "word": " بدها", "probability": 0.97998046875}, {"start": 496.65, "end": 497.29, "word": " تروح", "probability": 0.99560546875}, {"start": 497.29, "end": 497.75, "word": " لل", "probability": 0.90966796875}, {"start": 497.75, "end": 498.65, "word": " infinity", "probability": 0.9091796875}, {"start": 498.65, "end": 500.37, "word": " لمن؟", "probability": 0.9508463541666666}, {"start": 500.37, "end": 500.81, "word": " لل", "probability": 0.599609375}, {"start": 500.81, "end": 501.45, "word": " x", "probability": 0.9462890625}, {"start": 501.45, "end": 502.57, "word": " فمن", "probability": 0.4342041015625}, {"start": 502.57, "end": 504.13, "word": " 1", "probability": 0.71240234375}, {"start": 504.13, "end": 505.55, "word": " زائد", "probability": 0.7976888020833334}, {"start": 505.55, "end": 506.13, "word": " a", "probability": 0.9345703125}, {"start": 506.13, "end": 506.67, "word": " على", "probability": 0.60205078125}, {"start": 506.67, "end": 507.07, "word": " x", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 23, "seek": 53412, "start": 507.18, "end": 534.12, "text": "يبقى احنا في الخطوة التالتة، بنروح للرابع حتى ننجز هذه الخطوة، تمام؟ بقول كويس، عوّط عامله بشري وشوف إيش جباننا، الاكسب من infinity، مضروبة فيه، عدد على infinity؟ Zero، لإن الواحد يبقى يد يسارة infinity في zero", "tokens": [1829, 3555, 4587, 7578, 1975, 5016, 8315, 8978, 33962, 9566, 2407, 3660, 16712, 6027, 2655, 3660, 12399, 44945, 32887, 5016, 24976, 2288, 16758, 3615, 11331, 49975, 8717, 1863, 7435, 11622, 29538, 33962, 9566, 2407, 3660, 12399, 46811, 10943, 22807, 4724, 39648, 9122, 45865, 3794, 12399, 6225, 2407, 11703, 9566, 6225, 10943, 43761, 4724, 8592, 16572, 4032, 8592, 38688, 11933, 1829, 8592, 10874, 3555, 7649, 8315, 12399, 42963, 4117, 35457, 9154, 13202, 12399, 3714, 11242, 32887, 49401, 8978, 3224, 12399, 6225, 3215, 3215, 15844, 13202, 22807, 17182, 12399, 5296, 28814, 1863, 2423, 14407, 24401, 7251, 3555, 4587, 7578, 7251, 3215, 7251, 3794, 9640, 3660, 13202, 8978, 4018], "avg_logprob": -0.2789135447172361, "compression_ratio": 1.592760180995475, "no_speech_prob": 0.0, "words": [{"start": 507.18, "end": 509.48, "word": "يبقى", "probability": 0.6427001953125}, {"start": 509.48, "end": 509.66, "word": " احنا", "probability": 0.8673502604166666}, {"start": 509.66, "end": 509.8, "word": " في", "probability": 0.75927734375}, {"start": 509.8, "end": 510.14, "word": " الخطوة", "probability": 0.9595947265625}, {"start": 510.14, "end": 511.12, "word": " التالتة،", "probability": 0.8110107421875}, {"start": 511.12, "end": 511.94, "word": " بنروح", "probability": 0.8753255208333334}, {"start": 511.94, "end": 512.62, "word": " للرابع", "probability": 0.84765625}, {"start": 512.62, "end": 513.38, "word": " حتى", "probability": 0.85986328125}, {"start": 513.38, "end": 514.26, "word": " ننجز", "probability": 0.9825439453125}, {"start": 514.26, "end": 514.74, "word": " هذه", "probability": 0.97509765625}, {"start": 514.74, "end": 516.08, "word": " الخطوة،", "probability": 0.90302734375}, {"start": 516.08, "end": 516.94, "word": " تمام؟", "probability": 0.8466796875}, {"start": 516.94, "end": 517.56, "word": " بقول", "probability": 0.883056640625}, {"start": 517.56, "end": 518.9, "word": " كويس،", "probability": 0.74993896484375}, {"start": 518.9, "end": 519.46, "word": " عوّط", "probability": 0.71600341796875}, {"start": 519.46, "end": 519.84, "word": " عامله", "probability": 0.55029296875}, {"start": 519.84, "end": 520.16, "word": " بشري", "probability": 0.75830078125}, {"start": 520.16, "end": 520.48, "word": " وشوف", "probability": 0.8671875}, {"start": 520.48, "end": 520.7, "word": " إيش", "probability": 0.8090006510416666}, {"start": 520.7, "end": 522.1, "word": " جباننا،", "probability": 0.608837890625}, {"start": 522.1, "end": 522.76, "word": " الاكسب", "probability": 0.7083333333333334}, {"start": 522.76, "end": 523.0, "word": " من", "probability": 0.96533203125}, {"start": 523.0, "end": 524.0, "word": " infinity،", "probability": 0.42333984375}, {"start": 524.0, "end": 524.96, "word": " مضروبة", "probability": 0.8651123046875}, {"start": 524.96, "end": 525.94, "word": " فيه،", "probability": 0.78076171875}, {"start": 525.94, "end": 526.48, "word": " عدد", "probability": 0.9383138020833334}, {"start": 526.48, "end": 526.7, "word": " على", "probability": 0.87158203125}, {"start": 526.7, "end": 527.96, "word": " infinity؟", "probability": 0.728515625}, {"start": 527.96, "end": 529.28, "word": " Zero،", "probability": 0.61279296875}, {"start": 529.28, "end": 529.72, "word": " لإن", "probability": 0.8408203125}, {"start": 529.72, "end": 530.62, "word": " الواحد", "probability": 0.9830729166666666}, {"start": 530.62, "end": 531.72, "word": " يبقى", "probability": 0.978515625}, {"start": 531.72, "end": 532.0, "word": " يد", "probability": 0.4239501953125}, {"start": 532.0, "end": 532.68, "word": " يسارة", "probability": 0.81591796875}, {"start": 532.68, "end": 533.38, "word": " infinity", "probability": 0.76513671875}, {"start": 533.38, "end": 533.7, "word": " في", "probability": 0.97802734375}, {"start": 533.7, "end": 534.12, "word": " zero", "probability": 0.64306640625}], "temperature": 1.0}, {"id": 24, "seek": 55275, "start": 534.43, "end": 552.75, "text": "Infinity في Zero والله Zero في Infinity كله نفس الشيء زي ما درسنا في المحاضرة الماضية تمام؟ إذا مدام طلع Infinity في Zero بدي أضبط مسألة بأي طريقة رياضية بحيث أحولها إلى صفر على صفر أو", "tokens": [4575, 5194, 507, 8978, 17182, 16070, 43761, 17182, 8978, 34762, 28242, 3224, 8717, 36178, 25124, 1829, 38207, 30767, 1829, 19446, 11778, 2288, 3794, 8315, 8978, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 46811, 10943, 22807, 11933, 15730, 3714, 3215, 10943, 23032, 1211, 3615, 34762, 8978, 17182, 4724, 16254, 5551, 11242, 3555, 9566, 47524, 10721, 37977, 4724, 10721, 1829, 23032, 16572, 28671, 12602, 1829, 46958, 10632, 4724, 5016, 1829, 12984, 5551, 5016, 12610, 11296, 30731, 20328, 5172, 2288, 15844, 20328, 5172, 2288, 34051], "avg_logprob": -0.21724397482642208, "compression_ratio": 1.6318681318681318, "no_speech_prob": 0.0, "words": [{"start": 534.43, "end": 535.21, "word": "Infinity", "probability": 0.6363932291666666}, {"start": 535.21, "end": 535.43, "word": " في", "probability": 0.309326171875}, {"start": 535.43, "end": 535.75, "word": " Zero", "probability": 0.6162109375}, {"start": 535.75, "end": 536.25, "word": " والله", "probability": 0.5096435546875}, {"start": 536.25, "end": 536.55, "word": " Zero", "probability": 0.7431640625}, {"start": 536.55, "end": 536.79, "word": " في", "probability": 0.9287109375}, {"start": 536.79, "end": 537.41, "word": " Infinity", "probability": 0.7705078125}, {"start": 537.41, "end": 538.51, "word": " كله", "probability": 0.885498046875}, {"start": 538.51, "end": 538.95, "word": " نفس", "probability": 0.982177734375}, {"start": 538.95, "end": 539.31, "word": " الشيء", "probability": 0.9401041666666666}, {"start": 539.31, "end": 539.53, "word": " زي", "probability": 0.91943359375}, {"start": 539.53, "end": 539.71, "word": " ما", "probability": 0.970703125}, {"start": 539.71, "end": 540.09, "word": " درسنا", "probability": 0.8153076171875}, {"start": 540.09, "end": 540.23, "word": " في", "probability": 0.96142578125}, {"start": 540.23, "end": 540.81, "word": " المحاضرة", "probability": 0.9725341796875}, {"start": 540.81, "end": 541.57, "word": " الماضية", "probability": 0.9855143229166666}, {"start": 541.57, "end": 542.95, "word": " تمام؟", "probability": 0.645751953125}, {"start": 542.95, "end": 543.37, "word": " إذا", "probability": 0.671875}, {"start": 543.37, "end": 544.11, "word": " مدام", "probability": 0.5770670572916666}, {"start": 544.11, "end": 544.43, "word": " طلع", "probability": 0.8138020833333334}, {"start": 544.43, "end": 544.77, "word": " Infinity", "probability": 0.587890625}, {"start": 544.77, "end": 545.07, "word": " في", "probability": 0.9453125}, {"start": 545.07, "end": 545.29, "word": " Zero", "probability": 0.96875}, {"start": 545.29, "end": 545.75, "word": " بدي", "probability": 0.6024169921875}, {"start": 545.75, "end": 546.73, "word": " أضبط", "probability": 0.7767333984375}, {"start": 546.73, "end": 547.45, "word": " مسألة", "probability": 0.8740234375}, {"start": 547.45, "end": 548.09, "word": " بأي", "probability": 0.96630859375}, {"start": 548.09, "end": 548.63, "word": " طريقة", "probability": 0.9892578125}, {"start": 548.63, "end": 549.41, "word": " رياضية", "probability": 0.9835205078125}, {"start": 549.41, "end": 550.31, "word": " بحيث", "probability": 0.9742431640625}, {"start": 550.31, "end": 551.01, "word": " أحولها", "probability": 0.956298828125}, {"start": 551.01, "end": 551.27, "word": " إلى", "probability": 0.884765625}, {"start": 551.27, "end": 551.69, "word": " صفر", "probability": 0.9444986979166666}, {"start": 551.69, "end": 551.91, "word": " على", "probability": 0.9384765625}, {"start": 551.91, "end": 552.37, "word": " صفر", "probability": 0.9923502604166666}, {"start": 552.37, "end": 552.75, "word": " أو", "probability": 0.8359375}], "temperature": 1.0}, {"id": 25, "seek": 58091, "start": 553.19, "end": 580.91, "text": "Infinity على Infinity من كله بسيطة جدا يبقى هذه limit لما ال X بدأ تروح الى Infinity لمين؟ ها ممكن أنزل ال X هذه تحت بصير X والسالب واحد يعني مين؟ يعني واحد على X يبقى هذه بدأ تصير Lin الواحد زائد A على X كله على واحد على X", "tokens": [4575, 5194, 507, 15844, 34762, 9154, 28242, 3224, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 7251, 3555, 4587, 7578, 29538, 4948, 5296, 15042, 2423, 1783, 47525, 10721, 6055, 32887, 5016, 2423, 7578, 34762, 5296, 2304, 9957, 22807, 8032, 995, 3714, 43020, 14739, 11622, 1211, 2423, 1783, 29538, 6055, 33753, 4724, 9381, 13546, 1783, 16070, 3794, 6027, 3555, 36764, 24401, 37495, 22653, 3714, 9957, 22807, 37495, 22653, 36764, 24401, 15844, 1783, 7251, 3555, 4587, 7578, 29538, 47525, 10721, 6055, 9381, 13546, 9355, 2423, 14407, 24401, 30767, 16373, 3215, 316, 15844, 1783, 28242, 3224, 15844, 36764, 24401, 15844, 1783], "avg_logprob": -0.2415497491554338, "compression_ratio": 1.854922279792746, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 553.19, "end": 554.25, "word": "Infinity", "probability": 0.6766357421875}, {"start": 554.25, "end": 554.59, "word": " على", "probability": 0.58447265625}, {"start": 554.59, "end": 555.23, "word": " Infinity", "probability": 0.73681640625}, {"start": 555.23, "end": 555.43, "word": " من", "probability": 0.1627197265625}, {"start": 555.43, "end": 555.77, "word": " كله", "probability": 0.780517578125}, {"start": 555.77, "end": 556.29, "word": " بسيطة", "probability": 0.96806640625}, {"start": 556.29, "end": 556.63, "word": " جدا", "probability": 0.980712890625}, {"start": 556.63, "end": 557.65, "word": " يبقى", "probability": 0.9072265625}, {"start": 557.65, "end": 558.03, "word": " هذه", "probability": 0.76123046875}, {"start": 558.03, "end": 558.61, "word": " limit", "probability": 0.45947265625}, {"start": 558.61, "end": 559.43, "word": " لما", "probability": 0.872314453125}, {"start": 559.43, "end": 559.61, "word": " ال", "probability": 0.8935546875}, {"start": 559.61, "end": 559.91, "word": " X", "probability": 0.74560546875}, {"start": 559.91, "end": 560.37, "word": " بدأ", "probability": 0.5738525390625}, {"start": 560.37, "end": 560.89, "word": " تروح", "probability": 0.9207356770833334}, {"start": 560.89, "end": 561.25, "word": " الى", "probability": 0.649169921875}, {"start": 561.25, "end": 561.83, "word": " Infinity", "probability": 0.56591796875}, {"start": 561.83, "end": 563.53, "word": " لمين؟", "probability": 0.7144775390625}, {"start": 563.53, "end": 564.07, "word": " ها", "probability": 0.583740234375}, {"start": 564.07, "end": 564.91, "word": " ممكن", "probability": 0.915771484375}, {"start": 564.91, "end": 565.53, "word": " أنزل", "probability": 0.7775065104166666}, {"start": 565.53, "end": 565.65, "word": " ال", "probability": 0.845703125}, {"start": 565.65, "end": 565.97, "word": " X", "probability": 0.96728515625}, {"start": 565.97, "end": 566.25, "word": " هذه", "probability": 0.57568359375}, {"start": 566.25, "end": 566.55, "word": " تحت", "probability": 0.986328125}, {"start": 566.55, "end": 566.93, "word": " بصير", "probability": 0.81298828125}, {"start": 566.93, "end": 567.39, "word": " X", "probability": 0.96630859375}, {"start": 567.39, "end": 568.19, "word": " والسالب", "probability": 0.74908447265625}, {"start": 568.19, "end": 568.75, "word": " واحد", "probability": 0.861083984375}, {"start": 568.75, "end": 569.95, "word": " يعني", "probability": 0.757568359375}, {"start": 569.95, "end": 570.61, "word": " مين؟", "probability": 0.7275390625}, {"start": 570.61, "end": 570.85, "word": " يعني", "probability": 0.967529296875}, {"start": 570.85, "end": 571.55, "word": " واحد", "probability": 0.962646484375}, {"start": 571.55, "end": 572.15, "word": " على", "probability": 0.78515625}, {"start": 572.15, "end": 572.51, "word": " X", "probability": 0.974609375}, {"start": 572.51, "end": 573.31, "word": " يبقى", "probability": 0.9554443359375}, {"start": 573.31, "end": 573.65, "word": " هذه", "probability": 0.90625}, {"start": 573.65, "end": 574.09, "word": " بدأ", "probability": 0.81689453125}, {"start": 574.09, "end": 574.61, "word": " تصير", "probability": 0.7874348958333334}, {"start": 574.61, "end": 575.11, "word": " Lin", "probability": 0.1995849609375}, {"start": 575.11, "end": 576.45, "word": " الواحد", "probability": 0.9197591145833334}, {"start": 576.45, "end": 577.17, "word": " زائد", "probability": 0.951171875}, {"start": 577.17, "end": 577.55, "word": " A", "probability": 0.62939453125}, {"start": 577.55, "end": 578.01, "word": " على", "probability": 0.81201171875}, {"start": 578.01, "end": 578.49, "word": " X", "probability": 0.99267578125}, {"start": 578.49, "end": 579.31, "word": " كله", "probability": 0.97265625}, {"start": 579.31, "end": 579.51, "word": " على", "probability": 0.9453125}, {"start": 579.51, "end": 580.13, "word": " واحد", "probability": 0.982421875}, {"start": 580.13, "end": 580.61, "word": " على", "probability": 0.869140625}, {"start": 580.61, "end": 580.91, "word": " X", "probability": 0.994140625}], "temperature": 1.0}, {"id": 26, "seek": 60509, "start": 581.63, "end": 605.09, "text": "طب لما عملت الحركة البسيطة هذه من ناحية رياضية سليمة، لكن شوف شو أملتنا، أمر بسيط، شو عمل؟ ها infinity، zero، لإن الواحد ب zero يبقى البسط ب zero، واحد علي infinity ب zero، إذا تحولت مسألة بهذه العملية الرياضية البسيطة من infinity في zero إلى", "tokens": [9566, 3555, 5296, 15042, 6225, 42213, 2655, 21542, 31747, 3660, 29739, 3794, 1829, 9566, 3660, 29538, 9154, 8717, 39319, 10632, 12602, 1829, 46958, 10632, 8608, 20292, 46007, 12399, 44381, 13412, 38688, 13412, 2407, 5551, 42213, 2655, 8315, 12399, 5551, 29973, 4724, 3794, 1829, 9566, 12399, 13412, 2407, 6225, 42213, 22807, 8032, 995, 13202, 12399, 4018, 12399, 5296, 28814, 1863, 2423, 14407, 24401, 4724, 4018, 7251, 3555, 4587, 7578, 29739, 3794, 9566, 4724, 4018, 12399, 36764, 24401, 25894, 13202, 4724, 4018, 12399, 11933, 15730, 6055, 5016, 12610, 2655, 47524, 10721, 37977, 39627, 24192, 18863, 42213, 10632, 2423, 16572, 46958, 10632, 29739, 3794, 1829, 9566, 3660, 9154, 13202, 8978, 4018, 30731], "avg_logprob": -0.2589488769119436, "compression_ratio": 1.880952380952381, "no_speech_prob": 0.0, "words": [{"start": 581.63, "end": 581.99, "word": "طب", "probability": 0.56854248046875}, {"start": 581.99, "end": 582.23, "word": " لما", "probability": 0.862060546875}, {"start": 582.23, "end": 582.89, "word": " عملت", "probability": 0.7427571614583334}, {"start": 582.89, "end": 583.43, "word": " الحركة", "probability": 0.76220703125}, {"start": 583.43, "end": 584.05, "word": " البسيطة", "probability": 0.94423828125}, {"start": 584.05, "end": 584.27, "word": " هذه", "probability": 0.6796875}, {"start": 584.27, "end": 584.41, "word": " من", "probability": 0.96484375}, {"start": 584.41, "end": 584.79, "word": " ناحية", "probability": 0.96435546875}, {"start": 584.79, "end": 585.37, "word": " رياضية", "probability": 0.9786376953125}, {"start": 585.37, "end": 586.27, "word": " سليمة،", "probability": 0.746612548828125}, {"start": 586.27, "end": 586.53, "word": " لكن", "probability": 0.88671875}, {"start": 586.53, "end": 586.91, "word": " شوف", "probability": 0.91552734375}, {"start": 586.91, "end": 587.13, "word": " شو", "probability": 0.788818359375}, {"start": 587.13, "end": 588.55, "word": " أملتنا،", "probability": 0.71083984375}, {"start": 588.55, "end": 588.89, "word": " أمر", "probability": 0.623779296875}, {"start": 588.89, "end": 589.39, "word": " بسيط،", "probability": 0.880224609375}, {"start": 589.39, "end": 589.65, "word": " شو", "probability": 0.84130859375}, {"start": 589.65, "end": 590.65, "word": " عمل؟", "probability": 0.8098958333333334}, {"start": 590.65, "end": 591.15, "word": " ها", "probability": 0.4908447265625}, {"start": 591.15, "end": 592.31, "word": " infinity،", "probability": 0.3861083984375}, {"start": 592.31, "end": 593.01, "word": " zero،", "probability": 0.532958984375}, {"start": 593.01, "end": 593.21, "word": " لإن", "probability": 0.7735188802083334}, {"start": 593.21, "end": 593.75, "word": " الواحد", "probability": 0.8650716145833334}, {"start": 593.75, "end": 593.91, "word": " ب", "probability": 0.7578125}, {"start": 593.91, "end": 594.23, "word": " zero", "probability": 0.401123046875}, {"start": 594.23, "end": 594.61, "word": " يبقى", "probability": 0.833984375}, {"start": 594.61, "end": 595.09, "word": " البسط", "probability": 0.6586100260416666}, {"start": 595.09, "end": 595.27, "word": " ب", "probability": 0.94384765625}, {"start": 595.27, "end": 595.95, "word": " zero،", "probability": 0.712158203125}, {"start": 595.95, "end": 596.43, "word": " واحد", "probability": 0.935302734375}, {"start": 596.43, "end": 596.65, "word": " علي", "probability": 0.405029296875}, {"start": 596.65, "end": 597.13, "word": " infinity", "probability": 0.80078125}, {"start": 597.13, "end": 597.41, "word": " ب", "probability": 0.86279296875}, {"start": 597.41, "end": 598.17, "word": " zero،", "probability": 0.90673828125}, {"start": 598.17, "end": 598.37, "word": " إذا", "probability": 0.861572265625}, {"start": 598.37, "end": 599.43, "word": " تحولت", "probability": 0.9456787109375}, {"start": 599.43, "end": 600.09, "word": " مسألة", "probability": 0.896484375}, {"start": 600.09, "end": 600.53, "word": " بهذه", "probability": 0.845947265625}, {"start": 600.53, "end": 601.05, "word": " العملية", "probability": 0.9680989583333334}, {"start": 601.05, "end": 601.57, "word": " الرياضية", "probability": 0.90283203125}, {"start": 601.57, "end": 602.59, "word": " البسيطة", "probability": 0.99072265625}, {"start": 602.59, "end": 603.07, "word": " من", "probability": 0.6494140625}, {"start": 603.07, "end": 603.81, "word": " infinity", "probability": 0.853515625}, {"start": 603.81, "end": 604.07, "word": " في", "probability": 0.546875}, {"start": 604.07, "end": 604.57, "word": " zero", "probability": 0.8876953125}, {"start": 604.57, "end": 605.09, "word": " إلى", "probability": 0.88916015625}], "temperature": 1.0}, {"id": 27, "seek": 62490, "start": 605.54, "end": 624.9, "text": "0 على 0 إذا بقدر استخدم قاعدة لبيتال تمام يبقى بقوله هذه تساوي limit لما ال X بدأ تروح لين ل ال infinity لمشتقة ال bus على مشتقة المقام مشتقة ال bus واحد", "tokens": [15, 15844, 1958, 11933, 15730, 4724, 28543, 2288, 44713, 9778, 40448, 12174, 995, 22488, 3660, 5296, 3555, 36081, 6027, 46811, 10943, 7251, 3555, 4587, 7578, 4724, 39648, 3224, 29538, 6055, 3794, 995, 45865, 4948, 5296, 15042, 2423, 1783, 47525, 10721, 6055, 32887, 5016, 5296, 9957, 5296, 2423, 13202, 32767, 8592, 2655, 28671, 2423, 1255, 15844, 37893, 2655, 28671, 9673, 4587, 10943, 37893, 2655, 28671, 2423, 1255, 36764, 24401], "avg_logprob": -0.26585144582002057, "compression_ratio": 1.5272727272727273, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 605.54, "end": 606.06, "word": "0", "probability": 0.157470703125}, {"start": 606.06, "end": 606.4, "word": " على", "probability": 0.6484375}, {"start": 606.4, "end": 606.68, "word": " 0", "probability": 0.865234375}, {"start": 606.68, "end": 607.06, "word": " إذا", "probability": 0.55780029296875}, {"start": 607.06, "end": 607.62, "word": " بقدر", "probability": 0.8240559895833334}, {"start": 607.62, "end": 608.22, "word": " استخدم", "probability": 0.8829752604166666}, {"start": 608.22, "end": 608.94, "word": " قاعدة", "probability": 0.9654541015625}, {"start": 608.94, "end": 609.54, "word": " لبيتال", "probability": 0.58740234375}, {"start": 609.54, "end": 610.42, "word": " تمام", "probability": 0.7783203125}, {"start": 610.42, "end": 611.3, "word": " يبقى", "probability": 0.911376953125}, {"start": 611.3, "end": 611.86, "word": " بقوله", "probability": 0.7786458333333334}, {"start": 611.86, "end": 612.16, "word": " هذه", "probability": 0.638671875}, {"start": 612.16, "end": 612.98, "word": " تساوي", "probability": 0.9573974609375}, {"start": 612.98, "end": 613.7, "word": " limit", "probability": 0.9267578125}, {"start": 613.7, "end": 614.56, "word": " لما", "probability": 0.91015625}, {"start": 614.56, "end": 614.74, "word": " ال", "probability": 0.92138671875}, {"start": 614.74, "end": 615.1, "word": " X", "probability": 0.65625}, {"start": 615.1, "end": 615.92, "word": " بدأ", "probability": 0.64501953125}, {"start": 615.92, "end": 616.72, "word": " تروح", "probability": 0.9747721354166666}, {"start": 616.72, "end": 617.3, "word": " لين", "probability": 0.6024169921875}, {"start": 617.3, "end": 617.5, "word": " ل", "probability": 0.36474609375}, {"start": 617.5, "end": 617.72, "word": " ال", "probability": 0.68115234375}, {"start": 617.72, "end": 618.38, "word": " infinity", "probability": 0.7880859375}, {"start": 618.38, "end": 619.8, "word": " لمشتقة", "probability": 0.9036865234375}, {"start": 619.8, "end": 620.06, "word": " ال", "probability": 0.56494140625}, {"start": 620.06, "end": 620.3, "word": " bus", "probability": 0.7255859375}, {"start": 620.3, "end": 620.6, "word": " على", "probability": 0.666015625}, {"start": 620.6, "end": 621.36, "word": " مشتقة", "probability": 0.9749348958333334}, {"start": 621.36, "end": 622.46, "word": " المقام", "probability": 0.8722330729166666}, {"start": 622.46, "end": 623.62, "word": " مشتقة", "probability": 0.9454752604166666}, {"start": 623.62, "end": 623.84, "word": " ال", "probability": 0.97021484375}, {"start": 623.84, "end": 624.12, "word": " bus", "probability": 0.9697265625}, {"start": 624.12, "end": 624.9, "word": " واحد", "probability": 0.76171875}], "temperature": 1.0}, {"id": 28, "seek": 64679, "start": 625.06, "end": 646.8, "text": "على واحد زائد a على x في مشتقة مداخل الليل له سالب a على x ثربية a مقدار ثابت مشتقة واحد على x ليه بسالب واحد على x ثربية المقام مشتقته بسالب واحد على x ثربية", "tokens": [3615, 23942, 36764, 24401, 30767, 16373, 3215, 257, 15844, 2031, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 13672, 26895, 46740, 8608, 6027, 3555, 257, 15844, 2031, 38637, 25513, 10632, 257, 3714, 28543, 9640, 38637, 16758, 2655, 37893, 2655, 28671, 36764, 24401, 15844, 2031, 32239, 3224, 4724, 3794, 6027, 3555, 36764, 24401, 15844, 2031, 38637, 25513, 10632, 9673, 4587, 10943, 37893, 2655, 38149, 3224, 4724, 3794, 6027, 3555, 36764, 24401, 15844, 2031, 38637, 25513, 10632], "avg_logprob": -0.196443253049725, "compression_ratio": 2.116279069767442, "no_speech_prob": 0.0, "words": [{"start": 625.06, "end": 625.66, "word": "على", "probability": 0.6776123046875}, {"start": 625.66, "end": 626.34, "word": " واحد", "probability": 0.7393798828125}, {"start": 626.34, "end": 627.34, "word": " زائد", "probability": 0.8279622395833334}, {"start": 627.34, "end": 627.64, "word": " a", "probability": 0.5458984375}, {"start": 627.64, "end": 627.92, "word": " على", "probability": 0.61865234375}, {"start": 627.92, "end": 628.28, "word": " x", "probability": 0.904296875}, {"start": 628.28, "end": 628.8, "word": " في", "probability": 0.81201171875}, {"start": 628.8, "end": 629.64, "word": " مشتقة", "probability": 0.8056640625}, {"start": 629.64, "end": 630.64, "word": " مداخل", "probability": 0.861083984375}, {"start": 630.64, "end": 631.28, "word": " الليل", "probability": 0.32745361328125}, {"start": 631.28, "end": 631.86, "word": " له", "probability": 0.2705078125}, {"start": 631.86, "end": 632.66, "word": " سالب", "probability": 0.9083658854166666}, {"start": 632.66, "end": 633.1, "word": " a", "probability": 0.947265625}, {"start": 633.1, "end": 633.7, "word": " على", "probability": 0.77294921875}, {"start": 633.7, "end": 634.04, "word": " x", "probability": 0.95166015625}, {"start": 634.04, "end": 634.46, "word": " ثربية", "probability": 0.5902506510416666}, {"start": 634.46, "end": 635.28, "word": " a", "probability": 0.71875}, {"start": 635.28, "end": 635.84, "word": " مقدار", "probability": 0.85595703125}, {"start": 635.84, "end": 636.38, "word": " ثابت", "probability": 0.9918619791666666}, {"start": 636.38, "end": 637.18, "word": " مشتقة", "probability": 0.8663736979166666}, {"start": 637.18, "end": 637.52, "word": " واحد", "probability": 0.965576171875}, {"start": 637.52, "end": 637.72, "word": " على", "probability": 0.84619140625}, {"start": 637.72, "end": 638.08, "word": " x", "probability": 0.90869140625}, {"start": 638.08, "end": 638.64, "word": " ليه", "probability": 0.80029296875}, {"start": 638.64, "end": 639.2, "word": " بسالب", "probability": 0.90673828125}, {"start": 639.2, "end": 639.62, "word": " واحد", "probability": 0.991455078125}, {"start": 639.62, "end": 639.94, "word": " على", "probability": 0.90625}, {"start": 639.94, "end": 640.24, "word": " x", "probability": 0.94677734375}, {"start": 640.24, "end": 640.74, "word": " ثربية", "probability": 0.9012044270833334}, {"start": 640.74, "end": 642.42, "word": " المقام", "probability": 0.9363606770833334}, {"start": 642.42, "end": 644.0, "word": " مشتقته", "probability": 0.981689453125}, {"start": 644.0, "end": 645.12, "word": " بسالب", "probability": 0.9671630859375}, {"start": 645.12, "end": 645.78, "word": " واحد", "probability": 0.99072265625}, {"start": 645.78, "end": 646.08, "word": " على", "probability": 0.927734375}, {"start": 646.08, "end": 646.36, "word": " x", "probability": 0.97900390625}, {"start": 646.36, "end": 646.8, "word": " ثربية", "probability": 0.93505859375}], "temperature": 1.0}, {"id": 29, "seek": 66841, "start": 647.73, "end": 668.41, "text": "نختصر لو اختصرنا سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على أكثر بيهما سالب واحد على", "tokens": [1863, 46456, 9381, 2288, 45164, 1975, 46456, 9381, 2288, 8315, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 4117, 49115, 4724, 1829, 3224, 15042, 8608, 6027, 3555, 36764, 24401, 15844], "avg_logprob": -0.11444444550408257, "compression_ratio": 9.935897435897436, "no_speech_prob": 0.0, "words": [{"start": 647.73, "end": 648.37, "word": "نختصر", "probability": 0.8177490234375}, {"start": 648.37, "end": 649.01, "word": " لو", "probability": 0.259521484375}, {"start": 649.01, "end": 649.89, "word": " اختصرنا", "probability": 0.9349609375}, {"start": 649.89, "end": 650.41, "word": " سالب", "probability": 0.6259765625}, {"start": 650.41, "end": 650.79, "word": " واحد", "probability": 0.943603515625}, {"start": 650.79, "end": 650.93, "word": " على", "probability": 0.7021484375}, {"start": 650.93, "end": 651.37, "word": " أكثر", "probability": 0.6793619791666666}, {"start": 651.37, "end": 651.75, "word": " بيهما", "probability": 0.63861083984375}, {"start": 651.75, "end": 652.23, "word": " سالب", "probability": 0.8430989583333334}, {"start": 652.23, "end": 652.47, "word": " واحد", "probability": 0.973876953125}, {"start": 652.47, "end": 652.55, "word": " على", "probability": 0.9169921875}, {"start": 652.55, "end": 652.87, "word": " أكثر", "probability": 0.9261067708333334}, {"start": 652.87, "end": 653.19, "word": " بيهما", "probability": 0.69488525390625}, {"start": 653.19, "end": 653.19, "word": " سالب", "probability": 0.75634765625}, {"start": 653.19, "end": 653.19, "word": " واحد", "probability": 0.98388671875}, {"start": 653.19, "end": 653.19, "word": " على", "probability": 0.92578125}, {"start": 653.19, "end": 653.19, "word": " أكثر", "probability": 0.9187825520833334}, {"start": 653.19, "end": 653.19, "word": " بيهما", "probability": 0.8065185546875}, {"start": 653.19, "end": 653.23, "word": " سالب", "probability": 0.82861328125}, {"start": 653.23, "end": 653.23, "word": " واحد", "probability": 0.9912109375}, {"start": 653.23, "end": 653.23, "word": " على", "probability": 0.9580078125}, {"start": 653.23, "end": 653.23, "word": " أكثر", "probability": 0.9471028645833334}, {"start": 653.23, "end": 653.23, "word": " بيهما", "probability": 0.82720947265625}, {"start": 653.23, "end": 653.23, "word": " سالب", "probability": 0.7955729166666666}, {"start": 653.23, "end": 653.23, "word": " واحد", "probability": 0.989990234375}, {"start": 653.23, "end": 653.23, "word": " على", "probability": 0.951171875}, {"start": 653.23, "end": 653.23, "word": " أكثر", "probability": 0.95458984375}, {"start": 653.23, "end": 653.23, "word": " بيهما", "probability": 0.82257080078125}, {"start": 653.23, "end": 653.23, "word": " سالب", "probability": 0.8377278645833334}, {"start": 653.23, "end": 653.23, "word": " واحد", "probability": 0.990966796875}, {"start": 653.23, "end": 653.23, "word": " على", "probability": 0.94677734375}, {"start": 653.23, "end": 653.23, "word": " أكثر", "probability": 0.9593098958333334}, {"start": 653.23, "end": 653.23, "word": " بيهما", "probability": 0.85546875}, {"start": 653.23, "end": 653.31, "word": " سالب", "probability": 0.8670247395833334}, {"start": 653.31, "end": 653.45, "word": " واحد", "probability": 0.990966796875}, {"start": 653.45, "end": 653.45, "word": " على", "probability": 0.9443359375}, {"start": 653.45, "end": 653.45, "word": " أكثر", "probability": 0.9674479166666666}, {"start": 653.45, "end": 653.45, "word": " بيهما", "probability": 0.89794921875}, {"start": 653.45, "end": 653.51, "word": " سالب", "probability": 0.8849283854166666}, {"start": 653.51, "end": 653.51, "word": " واحد", "probability": 0.99072265625}, {"start": 653.51, "end": 653.51, "word": " على", "probability": 0.94140625}, {"start": 653.51, "end": 653.51, "word": " أكثر", "probability": 0.9708658854166666}, {"start": 653.51, "end": 653.51, "word": " بيهما", "probability": 0.93408203125}, {"start": 653.51, "end": 653.51, "word": " سالب", "probability": 0.9039713541666666}, {"start": 653.51, "end": 653.53, "word": " واحد", "probability": 0.990478515625}, {"start": 653.53, "end": 653.65, "word": " على", "probability": 0.93896484375}, {"start": 653.65, "end": 653.73, "word": " أكثر", "probability": 0.9724934895833334}, {"start": 653.73, "end": 653.73, "word": " بيهما", "probability": 0.9527587890625}, {"start": 653.73, "end": 653.73, "word": " سالب", "probability": 0.9147135416666666}, {"start": 653.73, "end": 653.73, "word": " واحد", "probability": 0.990234375}, {"start": 653.73, "end": 653.85, "word": " على", "probability": 0.935546875}, {"start": 653.85, "end": 654.17, "word": " أكثر", "probability": 0.9734700520833334}, {"start": 654.17, "end": 654.39, "word": " بيهما", "probability": 0.9625244140625}, {"start": 654.39, "end": 654.39, "word": " سالب", "probability": 0.9264322916666666}, {"start": 654.39, "end": 654.39, "word": " واحد", "probability": 0.98974609375}, {"start": 654.39, "end": 654.39, "word": " على", "probability": 0.931640625}, {"start": 654.39, "end": 654.39, "word": " أكثر", "probability": 0.974609375}, {"start": 654.39, "end": 654.39, "word": " بيهما", "probability": 0.9678955078125}, {"start": 654.39, "end": 654.71, "word": " سالب", "probability": 0.9402669270833334}, {"start": 654.71, "end": 654.99, "word": " واحد", "probability": 0.989013671875}, {"start": 654.99, "end": 654.99, "word": " على", "probability": 0.92822265625}, {"start": 654.99, "end": 655.39, "word": " أكثر", "probability": 0.9757486979166666}, {"start": 655.39, "end": 655.39, "word": " بيهما", "probability": 0.9710693359375}, {"start": 655.39, "end": 655.39, "word": " سالب", "probability": 0.9523111979166666}, {"start": 655.39, "end": 655.39, "word": " واحد", "probability": 0.98779296875}, {"start": 655.39, "end": 655.39, "word": " على", "probability": 0.9287109375}, {"start": 655.39, "end": 655.57, "word": " أكثر", "probability": 0.9773763020833334}, {"start": 655.57, "end": 656.03, "word": " بيهما", "probability": 0.974853515625}, {"start": 656.03, "end": 656.07, "word": " سالب", "probability": 0.9615885416666666}, {"start": 656.07, "end": 656.35, "word": " واحد", "probability": 0.986572265625}, {"start": 656.35, "end": 657.19, "word": " على", "probability": 0.92578125}, {"start": 657.19, "end": 657.57, "word": " أكثر", "probability": 0.9793294270833334}, {"start": 657.57, "end": 658.41, "word": " بيهما", "probability": 0.9794921875}, {"start": 658.41, "end": 659.41, "word": " سالب", "probability": 0.9617513020833334}, {"start": 659.41, "end": 660.11, "word": " واحد", "probability": 0.9833984375}, {"start": 660.11, "end": 660.11, "word": " على", "probability": 0.92626953125}, {"start": 660.11, "end": 660.17, "word": " أكثر", "probability": 0.98046875}, {"start": 660.17, "end": 661.31, "word": " بيهما", "probability": 0.98095703125}, {"start": 661.31, "end": 664.95, "word": " سالب", "probability": 0.9677734375}, {"start": 664.95, "end": 665.69, "word": " واحد", "probability": 0.980712890625}, {"start": 665.69, "end": 666.29, "word": " على", "probability": 0.92333984375}, {"start": 666.29, "end": 667.05, "word": " أكثر", "probability": 0.9822591145833334}, {"start": 667.05, "end": 667.53, "word": " بيهما", "probability": 0.9815673828125}, {"start": 667.53, "end": 667.99, "word": " سالب", "probability": 0.96923828125}, {"start": 667.99, "end": 668.23, "word": " واحد", "probability": 0.978271484375}, {"start": 668.23, "end": 668.41, "word": " على", "probability": 0.91015625}], "temperature": 1.0}, {"id": 30, "seek": 68313, "start": 669.77, "end": 683.13, "text": "أيه على infinity بزير؟ رفضان جداش؟ واحد على واحد، يبقى يا ده بده يصير إيه يا في؟ واحد ويساوي جداش؟ إيه؟ إذا ال limit لده ليساوي إيه؟ خلصناه؟", "tokens": [10721, 1829, 3224, 15844, 13202, 4724, 11622, 13546, 22807, 12602, 5172, 11242, 7649, 10874, 3215, 33599, 22807, 36764, 24401, 15844, 36764, 24401, 12399, 7251, 3555, 4587, 7578, 35186, 11778, 3224, 47525, 3224, 7251, 9381, 13546, 11933, 1829, 3224, 35186, 8978, 22807, 36764, 24401, 4032, 1829, 3794, 995, 45865, 10874, 3215, 33599, 22807, 11933, 1829, 3224, 22807, 11933, 15730, 2423, 4948, 5296, 3215, 3224, 32239, 3794, 995, 45865, 11933, 1829, 3224, 22807, 16490, 1211, 9381, 8315, 3224, 22807], "avg_logprob": -0.39162660103577834, "compression_ratio": 1.643835616438356, "no_speech_prob": 0.0, "words": [{"start": 669.77, "end": 670.25, "word": "أيه", "probability": 0.4534912109375}, {"start": 670.25, "end": 670.45, "word": " على", "probability": 0.615234375}, {"start": 670.45, "end": 671.01, "word": " infinity", "probability": 0.44677734375}, {"start": 671.01, "end": 671.61, "word": " بزير؟", "probability": 0.4739990234375}, {"start": 671.61, "end": 671.87, "word": " رفضان", "probability": 0.45281982421875}, {"start": 671.87, "end": 672.61, "word": " جداش؟", "probability": 0.73663330078125}, {"start": 672.61, "end": 673.55, "word": " واحد", "probability": 0.799560546875}, {"start": 673.55, "end": 673.79, "word": " على", "probability": 0.72265625}, {"start": 673.79, "end": 674.23, "word": " واحد،", "probability": 0.8270670572916666}, {"start": 674.23, "end": 674.53, "word": " يبقى", "probability": 0.887451171875}, {"start": 674.53, "end": 674.77, "word": " يا", "probability": 0.29248046875}, {"start": 674.77, "end": 674.89, "word": " ده", "probability": 0.880859375}, {"start": 674.89, "end": 675.19, "word": " بده", "probability": 0.5933837890625}, {"start": 675.19, "end": 675.65, "word": " يصير", "probability": 0.9596354166666666}, {"start": 675.65, "end": 676.41, "word": " إيه", "probability": 0.6443277994791666}, {"start": 676.41, "end": 676.57, "word": " يا", "probability": 0.4931640625}, {"start": 676.57, "end": 676.91, "word": " في؟", "probability": 0.5311279296875}, {"start": 676.91, "end": 677.37, "word": " واحد", "probability": 0.97021484375}, {"start": 677.37, "end": 677.93, "word": " ويساوي", "probability": 0.67900390625}, {"start": 677.93, "end": 678.79, "word": " جداش؟", "probability": 0.84112548828125}, {"start": 678.79, "end": 679.91, "word": " إيه؟", "probability": 0.8685302734375}, {"start": 679.91, "end": 680.41, "word": " إذا", "probability": 0.949462890625}, {"start": 680.41, "end": 680.55, "word": " ال", "probability": 0.853515625}, {"start": 680.55, "end": 680.85, "word": " limit", "probability": 0.921875}, {"start": 680.85, "end": 681.37, "word": " لده", "probability": 0.5926106770833334}, {"start": 681.37, "end": 681.93, "word": " ليساوي", "probability": 0.799560546875}, {"start": 681.93, "end": 682.17, "word": " إيه؟", "probability": 0.94189453125}, {"start": 682.17, "end": 683.13, "word": " خلصناه؟", "probability": 0.8712565104166666}], "temperature": 1.0}, {"id": 31, "seek": 70449, "start": 684.09, "end": 704.49, "text": "ما خلصتش انت اللي جيبته هي انت جيبت limit ل لن الدالة واحنا اش بدنا limit ل الدالة وليس limit ل لن الدالة. اذا احنا اشتغلنا ثلاث خطوات. ايه الخطوة الرابعة؟ اللي هو الموضوع ال remark اللي احنا عشرنا اليها هنا.", "tokens": [15042, 16490, 1211, 9381, 2655, 8592, 16472, 2655, 13672, 1829, 10874, 1829, 3555, 47395, 39896, 16472, 2655, 10874, 1829, 3555, 2655, 4948, 5296, 5296, 1863, 32748, 6027, 3660, 4032, 39319, 8315, 1975, 8592, 47525, 8315, 4948, 5296, 32748, 6027, 3660, 4032, 20292, 3794, 4948, 5296, 5296, 1863, 32748, 6027, 3660, 13, 1975, 15730, 1975, 5016, 8315, 1975, 8592, 2655, 17082, 1211, 8315, 38637, 1211, 5718, 104, 16490, 9566, 2407, 9307, 13, 1975, 1829, 3224, 33962, 9566, 2407, 3660, 34892, 16758, 27884, 22807, 13672, 1829, 31439, 9673, 2407, 11242, 45367, 2423, 7942, 13672, 1829, 1975, 5016, 8315, 6225, 46309, 8315, 45595, 11296, 34105, 13], "avg_logprob": -0.23332332031658062, "compression_ratio": 1.9027027027027028, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 684.09, "end": 684.29, "word": "ما", "probability": 0.54443359375}, {"start": 684.29, "end": 684.99, "word": " خلصتش", "probability": 0.93388671875}, {"start": 684.99, "end": 685.85, "word": " انت", "probability": 0.783935546875}, {"start": 685.85, "end": 686.03, "word": " اللي", "probability": 0.915771484375}, {"start": 686.03, "end": 686.47, "word": " جيبته", "probability": 0.83428955078125}, {"start": 686.47, "end": 686.69, "word": " هي", "probability": 0.2685546875}, {"start": 686.69, "end": 686.93, "word": " انت", "probability": 0.60498046875}, {"start": 686.93, "end": 687.43, "word": " جيبت", "probability": 0.825439453125}, {"start": 687.43, "end": 688.09, "word": " limit", "probability": 0.9599609375}, {"start": 688.09, "end": 688.65, "word": " ل", "probability": 0.90087890625}, {"start": 688.65, "end": 689.03, "word": " لن", "probability": 0.40899658203125}, {"start": 689.03, "end": 689.67, "word": " الدالة", "probability": 0.589111328125}, {"start": 689.67, "end": 690.27, "word": " واحنا", "probability": 0.7080078125}, {"start": 690.27, "end": 690.41, "word": " اش", "probability": 0.587646484375}, {"start": 690.41, "end": 690.91, "word": " بدنا", "probability": 0.777587890625}, {"start": 690.91, "end": 691.63, "word": " limit", "probability": 0.9833984375}, {"start": 691.63, "end": 691.87, "word": " ل", "probability": 0.79833984375}, {"start": 691.87, "end": 692.39, "word": " الدالة", "probability": 0.8180338541666666}, {"start": 692.39, "end": 692.83, "word": " وليس", "probability": 0.94091796875}, {"start": 692.83, "end": 693.17, "word": " limit", "probability": 0.9892578125}, {"start": 693.17, "end": 693.31, "word": " ل", "probability": 0.986328125}, {"start": 693.31, "end": 693.55, "word": " لن", "probability": 0.94775390625}, {"start": 693.55, "end": 694.15, "word": " الدالة.", "probability": 0.9903971354166666}, {"start": 694.39, "end": 694.51, "word": " اذا", "probability": 0.82666015625}, {"start": 694.51, "end": 694.81, "word": " احنا", "probability": 0.8561197916666666}, {"start": 694.81, "end": 695.73, "word": " اشتغلنا", "probability": 0.9678548177083334}, {"start": 695.73, "end": 697.23, "word": " ثلاث", "probability": 0.9549560546875}, {"start": 697.23, "end": 697.91, "word": " خطوات.", "probability": 0.98681640625}, {"start": 698.23, "end": 698.51, "word": " ايه", "probability": 0.9029947916666666}, {"start": 698.51, "end": 699.03, "word": " الخطوة", "probability": 0.9403076171875}, {"start": 699.03, "end": 699.91, "word": " الرابعة؟", "probability": 0.9051513671875}, {"start": 699.91, "end": 700.45, "word": " اللي", "probability": 0.987060546875}, {"start": 700.45, "end": 700.63, "word": " هو", "probability": 0.93896484375}, {"start": 700.63, "end": 701.35, "word": " الموضوع", "probability": 0.883056640625}, {"start": 701.35, "end": 701.91, "word": " ال", "probability": 0.90576171875}, {"start": 701.91, "end": 702.53, "word": " remark", "probability": 0.88671875}, {"start": 702.53, "end": 702.79, "word": " اللي", "probability": 0.982177734375}, {"start": 702.79, "end": 702.99, "word": " احنا", "probability": 0.9557291666666666}, {"start": 702.99, "end": 703.57, "word": " عشرنا", "probability": 0.7200520833333334}, {"start": 703.57, "end": 704.07, "word": " اليها", "probability": 0.942138671875}, {"start": 704.07, "end": 704.49, "word": " هنا.", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 32, "seek": 73413, "start": 706.35, "end": 734.13, "text": "مش أنا أجيب هذه بدي أرفع اتنين كأس للعدد A هنا limit لإن ال F of X لما ال X بدي يروح إلى A limit لإن ال F of X لما ال X بدي يروح إلى Infinity هذا كان يسوى L لـL طلعت هنا إذا ال limit لدنا بدي يسوى E أس L إذا بنروح للخطوة الرابعة", "tokens": [2304, 8592, 41850, 5551, 7435, 1829, 3555, 29538, 4724, 16254, 5551, 28480, 3615, 1975, 2655, 1863, 9957, 9122, 10721, 3794, 24976, 22488, 3215, 316, 34105, 4948, 5296, 28814, 1863, 2423, 479, 295, 1783, 5296, 15042, 2423, 1783, 4724, 16254, 7251, 32887, 5016, 30731, 316, 4948, 5296, 28814, 1863, 2423, 479, 295, 1783, 5296, 15042, 2423, 1783, 4724, 16254, 7251, 32887, 5016, 30731, 34762, 23758, 25961, 7251, 3794, 2407, 7578, 441, 5296, 39184, 43, 23032, 1211, 34268, 34105, 11933, 15730, 2423, 4948, 5296, 3215, 8315, 4724, 16254, 7251, 3794, 2407, 7578, 462, 5551, 3794, 441, 11933, 15730, 44945, 32887, 5016, 24976, 9778, 9566, 2407, 3660, 34892, 16758, 27884], "avg_logprob": -0.2437789343573429, "compression_ratio": 1.8232323232323233, "no_speech_prob": 0.0, "words": [{"start": 706.35, "end": 706.79, "word": "مش", "probability": 0.54949951171875}, {"start": 706.79, "end": 706.99, "word": " أنا", "probability": 0.433349609375}, {"start": 706.99, "end": 707.33, "word": " أجيب", "probability": 0.8460693359375}, {"start": 707.33, "end": 707.67, "word": " هذه", "probability": 0.6474609375}, {"start": 707.67, "end": 707.97, "word": " بدي", "probability": 0.6373291015625}, {"start": 707.97, "end": 708.37, "word": " أرفع", "probability": 0.9264322916666666}, {"start": 708.37, "end": 709.09, "word": " اتنين", "probability": 0.78271484375}, {"start": 709.09, "end": 709.85, "word": " كأس", "probability": 0.8038736979166666}, {"start": 709.85, "end": 710.71, "word": " للعدد", "probability": 0.9366861979166666}, {"start": 710.71, "end": 711.15, "word": " A", "probability": 0.416259765625}, {"start": 711.15, "end": 712.47, "word": " هنا", "probability": 0.64892578125}, {"start": 712.47, "end": 713.27, "word": " limit", "probability": 0.732421875}, {"start": 713.27, "end": 713.85, "word": " لإن", "probability": 0.8069661458333334}, {"start": 713.85, "end": 714.09, "word": " ال", "probability": 0.87060546875}, {"start": 714.09, "end": 714.33, "word": " F", "probability": 0.6494140625}, {"start": 714.33, "end": 714.61, "word": " of", "probability": 0.796875}, {"start": 714.61, "end": 714.85, "word": " X", "probability": 0.96044921875}, {"start": 714.85, "end": 715.13, "word": " لما", "probability": 0.875}, {"start": 715.13, "end": 715.27, "word": " ال", "probability": 0.9033203125}, {"start": 715.27, "end": 715.49, "word": " X", "probability": 0.94775390625}, {"start": 715.49, "end": 715.79, "word": " بدي", "probability": 0.82177734375}, {"start": 715.79, "end": 716.19, "word": " يروح", "probability": 0.7899576822916666}, {"start": 716.19, "end": 716.59, "word": " إلى", "probability": 0.671875}, {"start": 716.59, "end": 717.01, "word": " A", "probability": 0.72900390625}, {"start": 717.01, "end": 718.13, "word": " limit", "probability": 0.81103515625}, {"start": 718.13, "end": 718.65, "word": " لإن", "probability": 0.9832356770833334}, {"start": 718.65, "end": 718.83, "word": " ال", "probability": 0.88037109375}, {"start": 718.83, "end": 719.09, "word": " F", "probability": 0.9775390625}, {"start": 719.09, "end": 719.35, "word": " of", "probability": 0.97607421875}, {"start": 719.35, "end": 719.59, "word": " X", "probability": 0.99658203125}, {"start": 719.59, "end": 719.95, "word": " لما", "probability": 0.970703125}, {"start": 719.95, "end": 720.09, "word": " ال", "probability": 0.986328125}, {"start": 720.09, "end": 720.31, "word": " X", "probability": 0.98974609375}, {"start": 720.31, "end": 720.57, "word": " بدي", "probability": 0.97265625}, {"start": 720.57, "end": 720.77, "word": " يروح", "probability": 0.9892578125}, {"start": 720.77, "end": 720.93, "word": " إلى", "probability": 0.85498046875}, {"start": 720.93, "end": 721.47, "word": " Infinity", "probability": 0.49169921875}, {"start": 721.47, "end": 722.49, "word": " هذا", "probability": 0.5615234375}, {"start": 722.49, "end": 723.25, "word": " كان", "probability": 0.5458984375}, {"start": 723.25, "end": 724.01, "word": " يسوى", "probability": 0.7801513671875}, {"start": 724.01, "end": 724.53, "word": " L", "probability": 0.79638671875}, {"start": 724.53, "end": 725.49, "word": " لـL", "probability": 0.572021484375}, {"start": 725.49, "end": 725.91, "word": " طلعت", "probability": 0.7830403645833334}, {"start": 725.91, "end": 726.25, "word": " هنا", "probability": 0.83447265625}, {"start": 726.25, "end": 727.15, "word": " إذا", "probability": 0.5872802734375}, {"start": 727.15, "end": 727.69, "word": " ال", "probability": 0.8642578125}, {"start": 727.69, "end": 728.03, "word": " limit", "probability": 0.91552734375}, {"start": 728.03, "end": 728.59, "word": " لدنا", "probability": 0.4890950520833333}, {"start": 728.59, "end": 728.83, "word": " بدي", "probability": 0.868408203125}, {"start": 728.83, "end": 729.31, "word": " يسوى", "probability": 0.8980712890625}, {"start": 729.31, "end": 730.05, "word": " E", "probability": 0.943359375}, {"start": 730.05, "end": 730.75, "word": " أس", "probability": 0.598388671875}, {"start": 730.75, "end": 731.19, "word": " L", "probability": 0.96923828125}, {"start": 731.19, "end": 731.91, "word": " إذا", "probability": 0.9365234375}, {"start": 731.91, "end": 732.41, "word": " بنروح", "probability": 0.8357747395833334}, {"start": 732.41, "end": 733.31, "word": " للخطوة", "probability": 0.96123046875}, {"start": 733.31, "end": 734.13, "word": " الرابعة", "probability": 0.9796549479166666}], "temperature": 1.0}, {"id": 33, "seek": 75839, "start": 734.85, "end": 758.39, "text": "يبقى انا بروح اقول اذا ال limit لدالة الأصلية واحد زائد a على x كله to the power x لما ال x tends to infinity بده يساوي e أس a تمام؟ يبقى خلاني اوصلك أربع خطوات وانتهي بقى من المثل اللي عندنا تماما", "tokens": [1829, 3555, 4587, 7578, 1975, 8315, 4724, 32887, 5016, 1975, 39648, 1975, 15730, 2423, 4948, 5296, 3215, 6027, 3660, 16247, 36520, 10632, 36764, 24401, 30767, 16373, 3215, 257, 15844, 2031, 28242, 3224, 281, 264, 1347, 2031, 5296, 15042, 2423, 2031, 12258, 281, 13202, 47525, 3224, 7251, 3794, 995, 45865, 308, 5551, 3794, 257, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 16490, 1211, 7649, 1829, 1975, 2407, 36520, 4117, 5551, 25513, 3615, 16490, 9566, 2407, 9307, 4032, 7649, 47395, 1829, 4724, 4587, 7578, 9154, 9673, 12984, 1211, 13672, 1829, 43242, 8315, 46811, 10943, 995], "avg_logprob": -0.3467420149356761, "compression_ratio": 1.5414634146341464, "no_speech_prob": 0.0, "words": [{"start": 734.85, "end": 735.47, "word": "يبقى", "probability": 0.578216552734375}, {"start": 735.47, "end": 735.51, "word": " انا", "probability": 0.439697265625}, {"start": 735.51, "end": 735.81, "word": " بروح", "probability": 0.5054931640625}, {"start": 735.81, "end": 736.13, "word": " اقول", "probability": 0.6534423828125}, {"start": 736.13, "end": 736.49, "word": " اذا", "probability": 0.688232421875}, {"start": 736.49, "end": 736.73, "word": " ال", "probability": 0.552734375}, {"start": 736.73, "end": 737.17, "word": " limit", "probability": 0.70849609375}, {"start": 737.17, "end": 738.35, "word": " لدالة", "probability": 0.740234375}, {"start": 738.35, "end": 739.09, "word": " الأصلية", "probability": 0.7281901041666666}, {"start": 739.09, "end": 739.75, "word": " واحد", "probability": 0.73876953125}, {"start": 739.75, "end": 740.39, "word": " زائد", "probability": 0.9143880208333334}, {"start": 740.39, "end": 740.67, "word": " a", "probability": 0.54150390625}, {"start": 740.67, "end": 741.03, "word": " على", "probability": 0.59912109375}, {"start": 741.03, "end": 741.37, "word": " x", "probability": 0.73681640625}, {"start": 741.37, "end": 742.29, "word": " كله", "probability": 0.941650390625}, {"start": 742.29, "end": 742.43, "word": " to", "probability": 0.80029296875}, {"start": 742.43, "end": 742.69, "word": " the", "probability": 0.91259765625}, {"start": 742.69, "end": 743.13, "word": " power", "probability": 0.884765625}, {"start": 743.13, "end": 743.53, "word": " x", "probability": 0.76806640625}, {"start": 743.53, "end": 743.91, "word": " لما", "probability": 0.813720703125}, {"start": 743.91, "end": 744.07, "word": " ال", "probability": 0.8759765625}, {"start": 744.07, "end": 744.33, "word": " x", "probability": 0.66552734375}, {"start": 744.33, "end": 744.65, "word": " tends", "probability": 0.5927734375}, {"start": 744.65, "end": 744.85, "word": " to", "probability": 0.8818359375}, {"start": 744.85, "end": 745.51, "word": " infinity", "probability": 0.87158203125}, {"start": 745.51, "end": 746.39, "word": " بده", "probability": 0.51226806640625}, {"start": 746.39, "end": 746.99, "word": " يساوي", "probability": 0.960693359375}, {"start": 746.99, "end": 747.71, "word": " e", "probability": 0.27880859375}, {"start": 747.71, "end": 748.45, "word": " أس", "probability": 0.4722900390625}, {"start": 748.45, "end": 748.91, "word": " a", "probability": 0.9619140625}, {"start": 748.91, "end": 752.65, "word": " تمام؟", "probability": 0.63525390625}, {"start": 752.65, "end": 753.17, "word": " يبقى", "probability": 0.976318359375}, {"start": 753.17, "end": 753.43, "word": " خلاني", "probability": 0.618682861328125}, {"start": 753.43, "end": 753.93, "word": " اوصلك", "probability": 0.64886474609375}, {"start": 753.93, "end": 754.27, "word": " أربع", "probability": 0.7843424479166666}, {"start": 754.27, "end": 754.81, "word": " خطوات", "probability": 0.98291015625}, {"start": 754.81, "end": 755.43, "word": " وانتهي", "probability": 0.9041748046875}, {"start": 755.43, "end": 755.83, "word": " بقى", "probability": 0.90380859375}, {"start": 755.83, "end": 756.37, "word": " من", "probability": 0.9609375}, {"start": 756.37, "end": 756.87, "word": " المثل", "probability": 0.7786458333333334}, {"start": 756.87, "end": 757.07, "word": " اللي", "probability": 0.96923828125}, {"start": 757.07, "end": 757.55, "word": " عندنا", "probability": 0.923095703125}, {"start": 757.55, "end": 758.39, "word": " تماما", "probability": 0.9900716145833334}], "temperature": 1.0}, {"id": 34, "seek": 78151, "start": 758.99, "end": 781.51, "text": "لكن أنا إلى خاطر أطرح بعض التساؤلات من خلال هالشكل اللي وصلنا له هنا بدي بدأ أسأل، يا ناس هذا مرة علينا قبل هيك؟ شفناه؟ فصل الأول؟ يعني لما أخذنا الفصل الأول قبل كم من شهر؟", "tokens": [1211, 19452, 41850, 30731, 16490, 41193, 2288, 5551, 9566, 2288, 5016, 45030, 11242, 16712, 3794, 5718, 97, 1211, 9307, 9154, 16490, 1211, 6027, 8032, 6027, 8592, 28820, 13672, 1829, 4032, 36520, 8315, 46740, 34105, 4724, 16254, 47525, 10721, 5551, 3794, 10721, 1211, 12399, 35186, 8717, 32277, 23758, 3714, 25720, 25894, 8315, 12174, 36150, 39896, 4117, 22807, 13412, 5172, 8315, 3224, 22807, 6156, 36520, 16247, 12610, 22807, 37495, 22653, 5296, 15042, 5551, 9778, 8848, 8315, 27188, 36520, 16247, 12610, 12174, 36150, 9122, 2304, 9154, 13412, 3224, 2288, 22807], "avg_logprob": -0.23579545827074486, "compression_ratio": 1.7166666666666666, "no_speech_prob": 0.0, "words": [{"start": 758.99, "end": 759.69, "word": "لكن", "probability": 0.7215576171875}, {"start": 759.69, "end": 760.49, "word": " أنا", "probability": 0.67431640625}, {"start": 760.49, "end": 760.75, "word": " إلى", "probability": 0.1715087890625}, {"start": 760.75, "end": 761.23, "word": " خاطر", "probability": 0.94287109375}, {"start": 761.23, "end": 761.69, "word": " أطرح", "probability": 0.8414306640625}, {"start": 761.69, "end": 762.03, "word": " بعض", "probability": 0.970703125}, {"start": 762.03, "end": 763.01, "word": " التساؤلات", "probability": 0.946044921875}, {"start": 763.01, "end": 763.55, "word": " من", "probability": 0.9638671875}, {"start": 763.55, "end": 764.13, "word": " خلال", "probability": 0.99365234375}, {"start": 764.13, "end": 764.77, "word": " هالشكل", "probability": 0.77606201171875}, {"start": 764.77, "end": 764.95, "word": " اللي", "probability": 0.905029296875}, {"start": 764.95, "end": 765.61, "word": " وصلنا", "probability": 0.97900390625}, {"start": 765.61, "end": 765.81, "word": " له", "probability": 0.8837890625}, {"start": 765.81, "end": 766.17, "word": " هنا", "probability": 0.96533203125}, {"start": 766.17, "end": 767.81, "word": " بدي", "probability": 0.4046630859375}, {"start": 767.81, "end": 768.21, "word": " بدأ", "probability": 0.6112060546875}, {"start": 768.21, "end": 768.45, "word": " أسأل،", "probability": 0.76552734375}, {"start": 768.45, "end": 768.59, "word": " يا", "probability": 0.86865234375}, {"start": 768.59, "end": 768.81, "word": " ناس", "probability": 0.986572265625}, {"start": 768.81, "end": 769.01, "word": " هذا", "probability": 0.28955078125}, {"start": 769.01, "end": 769.39, "word": " مرة", "probability": 0.610595703125}, {"start": 769.39, "end": 769.75, "word": " علينا", "probability": 0.851806640625}, {"start": 769.75, "end": 770.09, "word": " قبل", "probability": 0.7294921875}, {"start": 770.09, "end": 771.33, "word": " هيك؟", "probability": 0.6737467447916666}, {"start": 771.33, "end": 773.49, "word": " شفناه؟", "probability": 0.77841796875}, {"start": 773.49, "end": 773.97, "word": " فصل", "probability": 0.6319580078125}, {"start": 773.97, "end": 775.85, "word": " الأول؟", "probability": 0.92431640625}, {"start": 775.85, "end": 777.71, "word": " يعني", "probability": 0.735107421875}, {"start": 777.71, "end": 778.17, "word": " لما", "probability": 0.95361328125}, {"start": 778.17, "end": 778.87, "word": " أخذنا", "probability": 0.9239501953125}, {"start": 778.87, "end": 779.33, "word": " الفصل", "probability": 0.9462890625}, {"start": 779.33, "end": 779.79, "word": " الأول", "probability": 0.986572265625}, {"start": 779.79, "end": 780.11, "word": " قبل", "probability": 0.9296875}, {"start": 780.11, "end": 780.33, "word": " كم", "probability": 0.739013671875}, {"start": 780.33, "end": 780.49, "word": " من", "probability": 0.796875}, {"start": 780.49, "end": 781.51, "word": " شهر؟", "probability": 0.990966796875}], "temperature": 1.0}, {"id": 35, "seek": 78932, "start": 784.44, "end": 789.32, "text": "يعني برضه في الوصف الأول و الله في التاني يعني في نية section تقريبا", "tokens": [40228, 22653, 4724, 43042, 3224, 8978, 2423, 2407, 9381, 5172, 16247, 12610, 4032, 21984, 8978, 16712, 7649, 1829, 37495, 22653, 8978, 8717, 10632, 3541, 6055, 4587, 16572, 3555, 995], "avg_logprob": -0.46562501390775046, "compression_ratio": 1.2608695652173914, "no_speech_prob": 0.0, "words": [{"start": 784.4399999999999, "end": 784.88, "word": "يعني", "probability": 0.950439453125}, {"start": 784.88, "end": 785.32, "word": " برضه", "probability": 0.6913045247395834}, {"start": 785.32, "end": 785.38, "word": " في", "probability": 0.8369140625}, {"start": 785.38, "end": 785.54, "word": " الوصف", "probability": 0.5117950439453125}, {"start": 785.54, "end": 785.78, "word": " الأول", "probability": 0.865478515625}, {"start": 785.78, "end": 785.9, "word": " و", "probability": 0.7236328125}, {"start": 785.9, "end": 786.04, "word": " الله", "probability": 0.4453125}, {"start": 786.04, "end": 786.2, "word": " في", "probability": 0.86767578125}, {"start": 786.2, "end": 786.74, "word": " التاني", "probability": 0.869140625}, {"start": 786.74, "end": 787.66, "word": " يعني", "probability": 0.793701171875}, {"start": 787.66, "end": 787.76, "word": " في", "probability": 0.476318359375}, {"start": 787.76, "end": 787.96, "word": " نية", "probability": 0.63671875}, {"start": 787.96, "end": 788.32, "word": " section", "probability": 0.63720703125}, {"start": 788.32, "end": 789.32, "word": " تقريبا", "probability": 0.71337890625}], "temperature": 1.0}, {"id": 36, "seek": 81939, "start": 793.19, "end": 819.39, "text": "أه يعني سبعة تلاتة سبعة تلاتة سبعة تلاتة سبعة تلاتة سبعة تلاتة سبعة تلاتة سبعة تلاتة سبعة تلاتة سبعة تلاتة سبعة تلاتة سبعة تلاتة سبعة تلاتة", "tokens": [10721, 3224, 37495, 22653, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 6055, 1211, 9307, 3660], "avg_logprob": -0.23156600587823417, "compression_ratio": 5.5, "no_speech_prob": 0.0, "words": [{"start": 793.19, "end": 793.57, "word": "أه", "probability": 0.199005126953125}, {"start": 793.57, "end": 793.89, "word": " يعني", "probability": 0.75}, {"start": 793.89, "end": 794.79, "word": " سبعة", "probability": 0.5278727213541666}, {"start": 794.79, "end": 795.41, "word": " تلاتة", "probability": 0.861083984375}, {"start": 795.41, "end": 797.01, "word": " سبعة", "probability": 0.6729329427083334}, {"start": 797.01, "end": 797.49, "word": " تلاتة", "probability": 0.9520263671875}, {"start": 797.49, "end": 800.09, "word": " سبعة", "probability": 0.6852620442708334}, {"start": 800.09, "end": 800.83, "word": " تلاتة", "probability": 0.958740234375}, {"start": 800.83, "end": 806.23, "word": " سبعة", "probability": 0.804931640625}, {"start": 806.23, "end": 806.23, "word": " تلاتة", "probability": 0.9566650390625}, {"start": 806.23, "end": 806.61, "word": " سبعة", "probability": 0.8390299479166666}, {"start": 806.61, "end": 806.61, "word": " تلاتة", "probability": 0.955322265625}, {"start": 806.61, "end": 806.61, "word": " سبعة", "probability": 0.84521484375}, {"start": 806.61, "end": 806.61, "word": " تلاتة", "probability": 0.963134765625}, {"start": 806.61, "end": 806.61, "word": " سبعة", "probability": 0.8553059895833334}, {"start": 806.61, "end": 806.61, "word": " تلاتة", "probability": 0.9725341796875}, {"start": 806.61, "end": 806.61, "word": " سبعة", "probability": 0.87890625}, {"start": 806.61, "end": 806.81, "word": " تلاتة", "probability": 0.978271484375}, {"start": 806.81, "end": 806.81, "word": " سبعة", "probability": 0.8971354166666666}, {"start": 806.81, "end": 807.19, "word": " تلاتة", "probability": 0.983154296875}, {"start": 807.19, "end": 807.97, "word": " سبعة", "probability": 0.9112955729166666}, {"start": 807.97, "end": 808.93, "word": " تلاتة", "probability": 0.98583984375}, {"start": 808.93, "end": 813.23, "word": " سبعة", "probability": 0.91796875}, {"start": 813.23, "end": 817.41, "word": " تلاتة", "probability": 0.988037109375}, {"start": 817.41, "end": 818.65, "word": " سبعة", "probability": 0.92333984375}, {"start": 818.65, "end": 819.39, "word": " تلاتة", "probability": 0.989013671875}], "temperature": 1.0}, {"id": 37, "seek": 84373, "start": 821.19, "end": 843.73, "text": "بس بدل الواحد اجانبين اجانبين اذا a كله صح لو كانت ال a بواحد يبقى بده اشيل ال a و احط ال واحد بصير العدد a يسوي limit واحد زارد واحد على x لما ال x بده تروح لوين لل infinity يبقى اللي احنا اخدناها كخاصية لل exponential function", "tokens": [3555, 3794, 47525, 1211, 2423, 14407, 24401, 1975, 7435, 7649, 3555, 9957, 1975, 7435, 7649, 3555, 9957, 1975, 15730, 257, 28242, 3224, 20328, 5016, 45164, 25961, 2655, 2423, 257, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 47525, 3224, 1975, 8592, 26895, 2423, 257, 4032, 1975, 5016, 9566, 2423, 36764, 24401, 4724, 9381, 13546, 18863, 3215, 3215, 257, 7251, 3794, 45865, 4948, 36764, 24401, 30767, 9640, 3215, 36764, 24401, 15844, 2031, 5296, 15042, 2423, 2031, 47525, 3224, 6055, 32887, 5016, 45164, 9957, 24976, 13202, 7251, 3555, 4587, 7578, 13672, 1829, 1975, 5016, 8315, 1975, 9778, 3215, 8315, 11296, 9122, 9778, 33546, 10632, 24976, 21510, 2445], "avg_logprob": -0.2281250068119594, "compression_ratio": 1.7619047619047619, "no_speech_prob": 0.0, "words": [{"start": 821.19, "end": 821.55, "word": "بس", "probability": 0.67529296875}, {"start": 821.55, "end": 821.93, "word": " بدل", "probability": 0.953369140625}, {"start": 821.93, "end": 822.35, "word": " الواحد", "probability": 0.87353515625}, {"start": 822.35, "end": 823.17, "word": " اجانبين", "probability": 0.7591796875}, {"start": 823.17, "end": 824.13, "word": " اجانبين", "probability": 0.86171875}, {"start": 824.13, "end": 824.49, "word": " اذا", "probability": 0.80615234375}, {"start": 824.49, "end": 824.83, "word": " a", "probability": 0.364501953125}, {"start": 824.83, "end": 825.19, "word": " كله", "probability": 0.4212646484375}, {"start": 825.19, "end": 825.41, "word": " صح", "probability": 0.3768310546875}, {"start": 825.41, "end": 826.01, "word": " لو", "probability": 0.7109375}, {"start": 826.01, "end": 826.61, "word": " كانت", "probability": 0.876708984375}, {"start": 826.61, "end": 826.77, "word": " ال", "probability": 0.931640625}, {"start": 826.77, "end": 827.05, "word": " a", "probability": 0.82470703125}, {"start": 827.05, "end": 827.65, "word": " بواحد", "probability": 0.9446614583333334}, {"start": 827.65, "end": 828.29, "word": " يبقى", "probability": 0.92431640625}, {"start": 828.29, "end": 828.75, "word": " بده", "probability": 0.5447998046875}, {"start": 828.75, "end": 829.03, "word": " اشيل", "probability": 0.8738606770833334}, {"start": 829.03, "end": 829.29, "word": " ال", "probability": 0.9541015625}, {"start": 829.29, "end": 829.65, "word": " a", "probability": 0.9453125}, {"start": 829.65, "end": 829.93, "word": " و", "probability": 0.9208984375}, {"start": 829.93, "end": 830.43, "word": " احط", "probability": 0.6988932291666666}, {"start": 830.43, "end": 830.67, "word": " ال", "probability": 0.98388671875}, {"start": 830.67, "end": 831.13, "word": " واحد", "probability": 0.79638671875}, {"start": 831.13, "end": 831.81, "word": " بصير", "probability": 0.7858072916666666}, {"start": 831.81, "end": 832.59, "word": " العدد", "probability": 0.9417317708333334}, {"start": 832.59, "end": 833.03, "word": " a", "probability": 0.8583984375}, {"start": 833.03, "end": 833.93, "word": " يسوي", "probability": 0.7367350260416666}, {"start": 833.93, "end": 834.41, "word": " limit", "probability": 0.93408203125}, {"start": 834.41, "end": 834.93, "word": " واحد", "probability": 0.869873046875}, {"start": 834.93, "end": 835.35, "word": " زارد", "probability": 0.665771484375}, {"start": 835.35, "end": 835.71, "word": " واحد", "probability": 0.98681640625}, {"start": 835.71, "end": 835.89, "word": " على", "probability": 0.70361328125}, {"start": 835.89, "end": 836.21, "word": " x", "probability": 0.626953125}, {"start": 836.21, "end": 836.83, "word": " لما", "probability": 0.930419921875}, {"start": 836.83, "end": 836.97, "word": " ال", "probability": 0.9404296875}, {"start": 836.97, "end": 837.23, "word": " x", "probability": 0.86181640625}, {"start": 837.23, "end": 837.45, "word": " بده", "probability": 0.875732421875}, {"start": 837.45, "end": 837.69, "word": " تروح", "probability": 0.97802734375}, {"start": 837.69, "end": 838.21, "word": " لوين", "probability": 0.6173095703125}, {"start": 838.21, "end": 838.95, "word": " لل", "probability": 0.50439453125}, {"start": 838.95, "end": 839.79, "word": " infinity", "probability": 0.6640625}, {"start": 839.79, "end": 840.65, "word": " يبقى", "probability": 0.9755859375}, {"start": 840.65, "end": 840.79, "word": " اللي", "probability": 0.948486328125}, {"start": 840.79, "end": 841.01, "word": " احنا", "probability": 0.9615885416666666}, {"start": 841.01, "end": 841.67, "word": " اخدناها", "probability": 0.79990234375}, {"start": 841.67, "end": 842.37, "word": " كخاصية", "probability": 0.971923828125}, {"start": 842.37, "end": 842.53, "word": " لل", "probability": 0.775390625}, {"start": 842.53, "end": 843.09, "word": " exponential", "probability": 0.76708984375}, {"start": 843.09, "end": 843.73, "word": " function", "probability": 0.9716796875}], "temperature": 1.0}, {"id": 38, "seek": 85840, "start": 847.68, "end": 858.4, "text": "طب خليني اطرح التساوي التالي لو وضت لك limit واحد زائد تلاتة على X لما ال X بده تروح لإمالانها كده ايش بتتساوي؟", "tokens": [9566, 3555, 16490, 1211, 9957, 1829, 1975, 9566, 2288, 5016, 16712, 3794, 995, 45865, 16712, 6027, 1829, 45164, 4032, 11242, 2655, 5296, 4117, 4948, 36764, 24401, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 15844, 1783, 5296, 15042, 2423, 1783, 47525, 3224, 6055, 32887, 5016, 5296, 28814, 2304, 6027, 7649, 11296, 9122, 3215, 3224, 1975, 1829, 8592, 39894, 2655, 3794, 995, 45865, 22807], "avg_logprob": -0.3906249867545234, "compression_ratio": 1.4296296296296296, "no_speech_prob": 0.0, "words": [{"start": 847.68, "end": 848.52, "word": "طب", "probability": 0.445709228515625}, {"start": 848.52, "end": 849.36, "word": " خليني", "probability": 0.75970458984375}, {"start": 849.36, "end": 849.7, "word": " اطرح", "probability": 0.77117919921875}, {"start": 849.7, "end": 850.32, "word": " التساوي", "probability": 0.9066162109375}, {"start": 850.32, "end": 851.02, "word": " التالي", "probability": 0.8743489583333334}, {"start": 851.02, "end": 851.6, "word": " لو", "probability": 0.294189453125}, {"start": 851.6, "end": 851.88, "word": " وضت", "probability": 0.526123046875}, {"start": 851.88, "end": 852.1, "word": " لك", "probability": 0.81494140625}, {"start": 852.1, "end": 852.52, "word": " limit", "probability": 0.86669921875}, {"start": 852.52, "end": 853.32, "word": " واحد", "probability": 0.629150390625}, {"start": 853.32, "end": 853.94, "word": " زائد", "probability": 0.8740234375}, {"start": 853.94, "end": 854.62, "word": " تلاتة", "probability": 0.9122314453125}, {"start": 854.62, "end": 854.86, "word": " على", "probability": 0.65771484375}, {"start": 854.86, "end": 855.26, "word": " X", "probability": 0.428466796875}, {"start": 855.26, "end": 855.92, "word": " لما", "probability": 0.783935546875}, {"start": 855.92, "end": 856.04, "word": " ال", "probability": 0.72119140625}, {"start": 856.04, "end": 856.3, "word": " X", "probability": 0.837890625}, {"start": 856.3, "end": 856.54, "word": " بده", "probability": 0.4337158203125}, {"start": 856.54, "end": 856.8, "word": " تروح", "probability": 0.9246419270833334}, {"start": 856.8, "end": 857.36, "word": " لإمالانها", "probability": 0.640380859375}, {"start": 857.36, "end": 857.6, "word": " كده", "probability": 0.6785481770833334}, {"start": 857.6, "end": 857.66, "word": " ايش", "probability": 0.6281331380208334}, {"start": 857.66, "end": 858.4, "word": " بتتساوي؟", "probability": 0.8004557291666666}], "temperature": 1.0}, {"id": 39, "seek": 88532, "start": 860.02, "end": 885.32, "text": "تقعيد كلام كويس طب لو قلت لك limit لو واحد ناقص ناقص فا واحد على X لما ال X بتروح ل infinity يبقى هذه بيصير E السلب واحد او واحدة ليش؟ لأن السلب بقت را كتبه الزائد ودخل الناقص مكانه اللي زاد في ناقص ميبناقص", "tokens": [2655, 4587, 3615, 25708, 28242, 10943, 9122, 45865, 3794, 23032, 3555, 45164, 12174, 1211, 2655, 5296, 4117, 4948, 45164, 36764, 24401, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 6156, 995, 36764, 24401, 15844, 1783, 5296, 15042, 2423, 1783, 39894, 32887, 5016, 5296, 13202, 7251, 3555, 4587, 7578, 29538, 4724, 1829, 9381, 13546, 462, 21136, 46152, 36764, 24401, 1975, 2407, 36764, 24401, 3660, 32239, 8592, 22807, 5296, 33456, 21136, 46152, 4724, 38149, 12602, 995, 9122, 2655, 3555, 3224, 6024, 110, 16373, 3215, 4032, 3215, 9778, 1211, 28239, 995, 4587, 9381, 3714, 41361, 3224, 13672, 1829, 30767, 18513, 8978, 8717, 995, 4587, 9381, 3714, 1829, 3555, 1863, 995, 4587, 9381], "avg_logprob": -0.3369318040934476, "compression_ratio": 1.7688442211055277, "no_speech_prob": 0.0, "words": [{"start": 860.02, "end": 860.8, "word": "تقعيد", "probability": 0.573883056640625}, {"start": 860.8, "end": 861.54, "word": " كلام", "probability": 0.642822265625}, {"start": 861.54, "end": 862.02, "word": " كويس", "probability": 0.8321940104166666}, {"start": 862.02, "end": 862.62, "word": " طب", "probability": 0.5828857421875}, {"start": 862.62, "end": 862.82, "word": " لو", "probability": 0.98095703125}, {"start": 862.82, "end": 863.18, "word": " قلت", "probability": 0.9417317708333334}, {"start": 863.18, "end": 863.5, "word": " لك", "probability": 0.731689453125}, {"start": 863.5, "end": 864.24, "word": " limit", "probability": 0.9150390625}, {"start": 864.24, "end": 865.02, "word": " لو", "probability": 0.385986328125}, {"start": 865.02, "end": 865.62, "word": " واحد", "probability": 0.810302734375}, {"start": 865.62, "end": 867.04, "word": " ناقص", "probability": 0.9786376953125}, {"start": 867.04, "end": 868.1, "word": " ناقص", "probability": 0.89111328125}, {"start": 868.1, "end": 868.42, "word": " فا", "probability": 0.4879150390625}, {"start": 868.42, "end": 869.48, "word": " واحد", "probability": 0.791259765625}, {"start": 869.48, "end": 869.82, "word": " على", "probability": 0.5712890625}, {"start": 869.82, "end": 870.36, "word": " X", "probability": 0.40478515625}, {"start": 870.36, "end": 871.04, "word": " لما", "probability": 0.903564453125}, {"start": 871.04, "end": 871.18, "word": " ال", "probability": 0.92919921875}, {"start": 871.18, "end": 871.44, "word": " X", "probability": 0.91357421875}, {"start": 871.44, "end": 871.92, "word": " بتروح", "probability": 0.8505859375}, {"start": 871.92, "end": 872.02, "word": " ل", "probability": 0.623046875}, {"start": 872.02, "end": 872.62, "word": " infinity", "probability": 0.371826171875}, {"start": 872.62, "end": 875.14, "word": " يبقى", "probability": 0.67816162109375}, {"start": 875.14, "end": 875.38, "word": " هذه", "probability": 0.1148681640625}, {"start": 875.38, "end": 875.78, "word": " بيصير", "probability": 0.7879638671875}, {"start": 875.78, "end": 876.22, "word": " E", "probability": 0.5517578125}, {"start": 876.22, "end": 877.04, "word": " السلب", "probability": 0.4696044921875}, {"start": 877.04, "end": 877.48, "word": " واحد", "probability": 0.9853515625}, {"start": 877.48, "end": 878.04, "word": " او", "probability": 0.8828125}, {"start": 878.04, "end": 878.68, "word": " واحدة", "probability": 0.9046223958333334}, {"start": 878.68, "end": 879.52, "word": " ليش؟", "probability": 0.7071940104166666}, {"start": 879.52, "end": 879.78, "word": " لأن", "probability": 0.7373046875}, {"start": 879.78, "end": 880.2, "word": " السلب", "probability": 0.96533203125}, {"start": 880.2, "end": 880.5, "word": " بقت", "probability": 0.6038818359375}, {"start": 880.5, "end": 880.72, "word": " را", "probability": 0.5615234375}, {"start": 880.72, "end": 881.06, "word": " كتبه", "probability": 0.6881103515625}, {"start": 881.06, "end": 881.82, "word": " الزائد", "probability": 0.81695556640625}, {"start": 881.82, "end": 882.52, "word": " ودخل", "probability": 0.937744140625}, {"start": 882.52, "end": 883.1, "word": " الناقص", "probability": 0.78759765625}, {"start": 883.1, "end": 883.6, "word": " مكانه", "probability": 0.931640625}, {"start": 883.6, "end": 883.72, "word": " اللي", "probability": 0.656982421875}, {"start": 883.72, "end": 884.1, "word": " زاد", "probability": 0.770263671875}, {"start": 884.1, "end": 884.24, "word": " في", "probability": 0.490966796875}, {"start": 884.24, "end": 884.58, "word": " ناقص", "probability": 0.966796875}, {"start": 884.58, "end": 885.32, "word": " ميبناقص", "probability": 0.7291782924107143}], "temperature": 1.0}, {"id": 40, "seek": 91169, "start": 885.45, "end": 911.69, "text": "يقول ماسوّناش شيء يبقى بناء عليها بدأ أخد لهذا general for ونحاول نستخدمه متى أم كان ذلك طيب انت عارف ان هذا الآن هيحللنا مشكلة عويصة كانت لو قابلتنا مش عارفين كيف نسوي فيها؟ شو المشكلة هذه؟ هذه مشكلة مثال رقم اتنين مثال رقم اتنين بيقول لي بدي limit", "tokens": [1829, 39648, 19446, 3794, 2407, 11703, 1863, 33599, 44049, 38207, 7251, 3555, 4587, 7578, 44945, 16606, 25894, 11296, 47525, 10721, 5551, 9778, 3215, 46740, 15730, 2674, 337, 4032, 1863, 5016, 995, 12610, 8717, 14851, 9778, 40448, 3224, 44650, 7578, 5551, 2304, 25961, 29910, 23275, 23032, 1829, 3555, 16472, 2655, 6225, 9640, 5172, 16472, 23758, 6024, 48506, 39896, 5016, 1211, 1211, 8315, 37893, 28820, 3660, 6225, 45865, 9381, 3660, 25961, 2655, 45164, 12174, 16758, 1211, 2655, 8315, 37893, 6225, 9640, 5172, 9957, 9122, 33911, 8717, 3794, 45865, 8978, 11296, 22807, 13412, 2407, 9673, 8592, 28820, 3660, 29538, 22807, 29538, 37893, 28820, 3660, 50113, 6027, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 50113, 6027, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 4724, 1829, 39648, 32239, 4724, 16254, 4948], "avg_logprob": -0.24409448842364034, "compression_ratio": 1.7901234567901234, "no_speech_prob": 0.0, "words": [{"start": 885.45, "end": 885.87, "word": "يقول", "probability": 0.37176513671875}, {"start": 885.87, "end": 886.59, "word": " ماسوّناش", "probability": 0.6001790364583334}, {"start": 886.59, "end": 887.25, "word": " شيء", "probability": 0.735595703125}, {"start": 887.25, "end": 887.55, "word": " يبقى", "probability": 0.71612548828125}, {"start": 887.55, "end": 887.87, "word": " بناء", "probability": 0.509521484375}, {"start": 887.87, "end": 888.21, "word": " عليها", "probability": 0.787353515625}, {"start": 888.21, "end": 888.43, "word": " بدأ", "probability": 0.40185546875}, {"start": 888.43, "end": 888.69, "word": " أخد", "probability": 0.81982421875}, {"start": 888.69, "end": 889.11, "word": " لهذا", "probability": 0.804931640625}, {"start": 889.11, "end": 889.61, "word": " general", "probability": 0.6552734375}, {"start": 889.61, "end": 890.13, "word": " for", "probability": 0.458251953125}, {"start": 890.13, "end": 891.09, "word": " ونحاول", "probability": 0.8734375}, {"start": 891.09, "end": 891.95, "word": " نستخدمه", "probability": 0.98427734375}, {"start": 891.95, "end": 892.57, "word": " متى", "probability": 0.7900390625}, {"start": 892.57, "end": 893.07, "word": " أم", "probability": 0.596923828125}, {"start": 893.07, "end": 893.37, "word": " كان", "probability": 0.8583984375}, {"start": 893.37, "end": 893.99, "word": " ذلك", "probability": 0.99267578125}, {"start": 893.99, "end": 894.79, "word": " طيب", "probability": 0.8806966145833334}, {"start": 894.79, "end": 895.47, "word": " انت", "probability": 0.78369140625}, {"start": 895.47, "end": 895.83, "word": " عارف", "probability": 0.99462890625}, {"start": 895.83, "end": 895.97, "word": " ان", "probability": 0.65673828125}, {"start": 895.97, "end": 896.25, "word": " هذا", "probability": 0.63818359375}, {"start": 896.25, "end": 896.63, "word": " الآن", "probability": 0.6656494140625}, {"start": 896.63, "end": 897.49, "word": " هيحللنا", "probability": 0.9388671875}, {"start": 897.49, "end": 898.13, "word": " مشكلة", "probability": 0.96240234375}, {"start": 898.13, "end": 898.87, "word": " عويصة", "probability": 0.795654296875}, {"start": 898.87, "end": 899.37, "word": " كانت", "probability": 0.793212890625}, {"start": 899.37, "end": 899.61, "word": " لو", "probability": 0.546875}, {"start": 899.61, "end": 900.41, "word": " قابلتنا", "probability": 0.996875}, {"start": 900.41, "end": 900.61, "word": " مش", "probability": 0.93017578125}, {"start": 900.61, "end": 901.03, "word": " عارفين", "probability": 0.994873046875}, {"start": 901.03, "end": 901.31, "word": " كيف", "probability": 0.986328125}, {"start": 901.31, "end": 901.75, "word": " نسوي", "probability": 0.8473307291666666}, {"start": 901.75, "end": 902.69, "word": " فيها؟", "probability": 0.7587076822916666}, {"start": 902.69, "end": 902.87, "word": " شو", "probability": 0.90380859375}, {"start": 902.87, "end": 903.43, "word": " المشكلة", "probability": 0.9896240234375}, {"start": 903.43, "end": 903.79, "word": " هذه؟", "probability": 0.86279296875}, {"start": 903.79, "end": 903.99, "word": " هذه", "probability": 0.445068359375}, {"start": 903.99, "end": 904.67, "word": " مشكلة", "probability": 0.9527994791666666}, {"start": 904.67, "end": 905.63, "word": " مثال", "probability": 0.99609375}, {"start": 905.63, "end": 906.31, "word": " رقم", "probability": 0.9864908854166666}, {"start": 906.31, "end": 906.93, "word": " اتنين", "probability": 0.86279296875}, {"start": 906.93, "end": 908.93, "word": " مثال", "probability": 0.981201171875}, {"start": 908.93, "end": 909.43, "word": " رقم", "probability": 0.9967447916666666}, {"start": 909.43, "end": 909.97, "word": " اتنين", "probability": 0.991943359375}, {"start": 909.97, "end": 910.79, "word": " بيقول", "probability": 0.8522135416666666}, {"start": 910.79, "end": 910.95, "word": " لي", "probability": 0.285888671875}, {"start": 910.95, "end": 911.25, "word": " بدي", "probability": 0.504638671875}, {"start": 911.25, "end": 911.69, "word": " limit", "probability": 0.8115234375}], "temperature": 1.0}, {"id": 41, "seek": 93798, "start": 913.1, "end": 937.98, "text": "لما الـ X tends to infinity لمن؟ لـ X زائد اتنين على X ناقص واحد كله 6 أحد أسئلة الكتاب في التمرين يبقى نرجعت على هذا السؤال و عوضت عوض مباشر بصير مالة نهاية على مالة نهاية أُس", "tokens": [1211, 15042, 2423, 39184, 1783, 12258, 281, 13202, 5296, 27842, 22807, 5296, 39184, 1783, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 15844, 1783, 8717, 995, 4587, 9381, 36764, 24401, 28242, 3224, 1386, 5551, 24401, 5551, 3794, 19986, 37977, 33251, 2655, 16758, 8978, 16712, 29973, 9957, 7251, 3555, 4587, 7578, 8717, 47341, 34268, 15844, 23758, 21136, 33604, 6027, 4032, 6225, 2407, 11242, 2655, 6225, 2407, 11242, 3714, 3555, 33599, 2288, 4724, 9381, 13546, 3714, 6027, 3660, 8717, 11296, 10632, 15844, 3714, 6027, 3660, 8717, 11296, 10632, 5551, 10859, 3794], "avg_logprob": -0.30073737294486397, "compression_ratio": 1.5578947368421052, "no_speech_prob": 0.0, "words": [{"start": 913.1, "end": 913.64, "word": "لما", "probability": 0.5606689453125}, {"start": 913.64, "end": 913.9, "word": " الـ", "probability": 0.5751953125}, {"start": 913.9, "end": 914.14, "word": " X", "probability": 0.54541015625}, {"start": 914.14, "end": 914.54, "word": " tends", "probability": 0.480712890625}, {"start": 914.54, "end": 914.82, "word": " to", "probability": 0.955078125}, {"start": 914.82, "end": 915.74, "word": " infinity", "probability": 0.76416015625}, {"start": 915.74, "end": 917.14, "word": " لمن؟", "probability": 0.67236328125}, {"start": 917.14, "end": 917.68, "word": " لـ", "probability": 0.510009765625}, {"start": 917.68, "end": 918.14, "word": " X", "probability": 0.8837890625}, {"start": 918.14, "end": 918.86, "word": " زائد", "probability": 0.5992024739583334}, {"start": 918.86, "end": 919.52, "word": " اتنين", "probability": 0.8714599609375}, {"start": 919.52, "end": 920.34, "word": " على", "probability": 0.5537109375}, {"start": 920.34, "end": 920.94, "word": " X", "probability": 0.9248046875}, {"start": 920.94, "end": 921.62, "word": " ناقص", "probability": 0.9195556640625}, {"start": 921.62, "end": 922.24, "word": " واحد", "probability": 0.991943359375}, {"start": 922.24, "end": 923.14, "word": " كله", "probability": 0.798828125}, {"start": 923.14, "end": 923.62, "word": " 6", "probability": 0.187744140625}, {"start": 923.62, "end": 927.24, "word": " أحد", "probability": 0.821044921875}, {"start": 927.24, "end": 927.7, "word": " أسئلة", "probability": 0.98486328125}, {"start": 927.7, "end": 928.28, "word": " الكتاب", "probability": 0.9873046875}, {"start": 928.28, "end": 928.4, "word": " في", "probability": 0.90869140625}, {"start": 928.4, "end": 929.36, "word": " التمرين", "probability": 0.9736328125}, {"start": 929.36, "end": 930.4, "word": " يبقى", "probability": 0.8682861328125}, {"start": 930.4, "end": 930.88, "word": " نرجعت", "probability": 0.22975667317708334}, {"start": 930.88, "end": 931.06, "word": " على", "probability": 0.56103515625}, {"start": 931.06, "end": 931.3, "word": " هذا", "probability": 0.91015625}, {"start": 931.3, "end": 931.72, "word": " السؤال", "probability": 0.9734700520833334}, {"start": 931.72, "end": 931.86, "word": " و", "probability": 0.8671875}, {"start": 931.86, "end": 932.42, "word": " عوضت", "probability": 0.65606689453125}, {"start": 932.42, "end": 932.76, "word": " عوض", "probability": 0.704833984375}, {"start": 932.76, "end": 933.46, "word": " مباشر", "probability": 0.9720458984375}, {"start": 933.46, "end": 934.06, "word": " بصير", "probability": 0.9261067708333334}, {"start": 934.06, "end": 934.86, "word": " مالة", "probability": 0.6617838541666666}, {"start": 934.86, "end": 935.58, "word": " نهاية", "probability": 0.8963216145833334}, {"start": 935.58, "end": 936.48, "word": " على", "probability": 0.8095703125}, {"start": 936.48, "end": 937.0, "word": " مالة", "probability": 0.9739583333333334}, {"start": 937.0, "end": 937.44, "word": " نهاية", "probability": 0.88818359375}, {"start": 937.44, "end": 937.98, "word": " أُس", "probability": 0.5125325520833334}], "temperature": 1.0}, {"id": 42, "seek": 96132, "start": 938.84, "end": 961.32, "text": "بأعرفها اش هذي مالا نيها لأس مالا نيها يومالا نيها لأس مالا يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيها يومالا نيه", "tokens": [3555, 10721, 3615, 28480, 11296, 1975, 8592, 8032, 8848, 1829, 3714, 6027, 995, 8717, 1829, 3224, 995, 5296, 10721, 3794, 3714, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 5296, 10721, 3794, 3714, 6027, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224, 995, 7251, 20498, 6027, 995, 8717, 1829, 3224], "avg_logprob": -0.13027777777777777, "compression_ratio": 8.728571428571428, "no_speech_prob": 0.0, "words": [{"start": 938.84, "end": 939.44, "word": "بأعرفها", "probability": 0.6251220703125}, {"start": 939.44, "end": 939.62, "word": " اش", "probability": 0.5255126953125}, {"start": 939.62, "end": 939.94, "word": " هذي", "probability": 0.5170084635416666}, {"start": 939.94, "end": 940.32, "word": " مالا", "probability": 0.6451009114583334}, {"start": 940.32, "end": 940.54, "word": " نيها", "probability": 0.5853271484375}, {"start": 940.54, "end": 940.94, "word": " لأس", "probability": 0.6546223958333334}, {"start": 940.94, "end": 941.32, "word": " مالا", "probability": 0.8836263020833334}, {"start": 941.32, "end": 941.54, "word": " نيها", "probability": 0.8922119140625}, {"start": 941.54, "end": 941.96, "word": " يومالا", "probability": 0.72021484375}, {"start": 941.96, "end": 942.18, "word": " نيها", "probability": 0.872314453125}, {"start": 942.18, "end": 942.42, "word": " لأس", "probability": 0.892578125}, {"start": 942.42, "end": 942.6, "word": " مالا", "probability": 0.9161783854166666}, {"start": 942.6, "end": 943.0, "word": " يومالا", "probability": 0.825439453125}, {"start": 943.0, "end": 944.6, "word": " نيها", "probability": 0.8350830078125}, {"start": 944.6, "end": 944.96, "word": " يومالا", "probability": 0.763671875}, {"start": 944.96, "end": 945.68, "word": " نيها", "probability": 0.8626708984375}, {"start": 945.68, "end": 947.98, "word": " يومالا", "probability": 0.8406982421875}, {"start": 947.98, "end": 949.1, "word": " نيها", "probability": 0.9000244140625}, {"start": 949.1, "end": 949.26, "word": " يومالا", "probability": 0.8624267578125}, {"start": 949.26, "end": 950.08, "word": " نيها", "probability": 0.9205322265625}, {"start": 950.08, "end": 950.26, "word": " يومالا", "probability": 0.886474609375}, {"start": 950.26, "end": 950.26, "word": " نيها", "probability": 0.9361572265625}, {"start": 950.26, "end": 950.44, "word": " يومالا", "probability": 0.90869140625}, {"start": 950.44, "end": 950.44, "word": " نيها", "probability": 0.94384765625}, {"start": 950.44, "end": 950.54, "word": " يومالا", "probability": 0.9296875}, {"start": 950.54, "end": 950.54, "word": " نيها", "probability": 0.947998046875}, {"start": 950.54, "end": 950.54, "word": " يومالا", "probability": 0.946044921875}, {"start": 950.54, "end": 950.54, "word": " نيها", "probability": 0.95263671875}, {"start": 950.54, "end": 950.54, "word": " يومالا", "probability": 0.9588623046875}, {"start": 950.54, "end": 950.54, "word": " نيها", "probability": 0.9547119140625}, {"start": 950.54, "end": 950.62, "word": " يومالا", "probability": 0.966552734375}, {"start": 950.62, "end": 950.62, "word": " نيها", "probability": 0.9561767578125}, {"start": 950.62, "end": 950.86, "word": " يومالا", "probability": 0.9715576171875}, {"start": 950.86, "end": 950.86, "word": " نيها", "probability": 0.9556884765625}, {"start": 950.86, "end": 950.92, "word": " يومالا", "probability": 0.9761962890625}, {"start": 950.92, "end": 950.92, "word": " نيها", "probability": 0.9580078125}, {"start": 950.92, "end": 951.1, "word": " يومالا", "probability": 0.9793701171875}, {"start": 951.1, "end": 951.1, "word": " نيها", "probability": 0.96044921875}, {"start": 951.1, "end": 951.1, "word": " يومالا", "probability": 0.9815673828125}, {"start": 951.1, "end": 951.1, "word": " نيها", "probability": 0.962890625}, {"start": 951.1, "end": 951.1, "word": " يومالا", "probability": 0.9827880859375}, {"start": 951.1, "end": 951.1, "word": " نيها", "probability": 0.9637451171875}, {"start": 951.1, "end": 951.44, "word": " يومالا", "probability": 0.98388671875}, {"start": 951.44, "end": 951.44, "word": " نيها", "probability": 0.9647216796875}, {"start": 951.44, "end": 951.44, "word": " يومالا", "probability": 0.984375}, {"start": 951.44, "end": 951.44, "word": " نيها", "probability": 0.9664306640625}, {"start": 951.44, "end": 951.44, "word": " يومالا", "probability": 0.98388671875}, {"start": 951.44, "end": 951.44, "word": " نيها", "probability": 0.96826171875}, {"start": 951.44, "end": 952.02, "word": " يومالا", "probability": 0.982421875}, {"start": 952.02, "end": 952.48, "word": " نيها", "probability": 0.9715576171875}, {"start": 952.48, "end": 953.76, "word": " يومالا", "probability": 0.978759765625}, {"start": 953.76, "end": 954.38, "word": " نيها", "probability": 0.9716796875}, {"start": 954.38, "end": 955.2, "word": " يومالا", "probability": 0.9735107421875}, {"start": 955.2, "end": 955.7, "word": " نيها", "probability": 0.971435546875}, {"start": 955.7, "end": 957.24, "word": " يومالا", "probability": 0.966064453125}, {"start": 957.24, "end": 960.5, "word": " نيها", "probability": 0.973876953125}, {"start": 960.5, "end": 961.18, "word": " يومالا", "probability": 0.9422607421875}, {"start": 961.18, "end": 961.32, "word": " نيه", "probability": 0.9674479166666666}], "temperature": 1.0}, {"id": 43, "seek": 97535, "start": 961.69, "end": 975.35, "text": "طيب، ماذا تقترحه حتى أوصل مسامتي إلى شكل مثل هذا الشكل؟ اه يا عيش، ماكنت تقوله هناك؟ بطلت؟ طيب اه، وانا بطلت يعني، اه", "tokens": [9566, 1829, 3555, 12399, 3714, 45636, 995, 6055, 38149, 2288, 5016, 3224, 11331, 49975, 34051, 36520, 47524, 10943, 31371, 30731, 13412, 28820, 50113, 1211, 23758, 25124, 28820, 22807, 1975, 3224, 35186, 6225, 1829, 8592, 12399, 19446, 19452, 2655, 6055, 39648, 3224, 34105, 4117, 22807, 4724, 9566, 1211, 2655, 22807, 23032, 1829, 3555, 1975, 3224, 12399, 4032, 7649, 995, 4724, 9566, 1211, 2655, 37495, 22653, 12399, 1975, 3224], "avg_logprob": -0.23138787093407967, "compression_ratio": 1.5984848484848484, "no_speech_prob": 0.0, "words": [{"start": 961.69, "end": 962.11, "word": "طيب،", "probability": 0.74627685546875}, {"start": 962.11, "end": 962.49, "word": " ماذا", "probability": 0.9671223958333334}, {"start": 962.49, "end": 963.35, "word": " تقترحه", "probability": 0.8091796875}, {"start": 963.35, "end": 963.77, "word": " حتى", "probability": 0.8291015625}, {"start": 963.77, "end": 964.49, "word": " أوصل", "probability": 0.781005859375}, {"start": 964.49, "end": 965.65, "word": " مسامتي", "probability": 0.765869140625}, {"start": 965.65, "end": 966.41, "word": " إلى", "probability": 0.92822265625}, {"start": 966.41, "end": 966.97, "word": " شكل", "probability": 0.8583984375}, {"start": 966.97, "end": 967.39, "word": " مثل", "probability": 0.986328125}, {"start": 967.39, "end": 967.65, "word": " هذا", "probability": 0.978515625}, {"start": 967.65, "end": 969.47, "word": " الشكل؟", "probability": 0.9391276041666666}, {"start": 969.47, "end": 970.21, "word": " اه", "probability": 0.5491943359375}, {"start": 970.21, "end": 970.27, "word": " يا", "probability": 0.68408203125}, {"start": 970.27, "end": 970.55, "word": " عيش،", "probability": 0.68310546875}, {"start": 970.55, "end": 970.69, "word": " ماكنت", "probability": 0.8486328125}, {"start": 970.69, "end": 970.91, "word": " تقوله", "probability": 0.6368001302083334}, {"start": 970.91, "end": 971.21, "word": " هناك؟", "probability": 0.8557942708333334}, {"start": 971.21, "end": 971.93, "word": " بطلت؟", "probability": 0.9669921875}, {"start": 971.93, "end": 973.11, "word": " طيب", "probability": 0.95361328125}, {"start": 973.11, "end": 973.83, "word": " اه،", "probability": 0.775634765625}, {"start": 973.83, "end": 974.13, "word": " وانا", "probability": 0.7447916666666666}, {"start": 974.13, "end": 974.73, "word": " بطلت", "probability": 0.9798583984375}, {"start": 974.73, "end": 975.03, "word": " يعني،", "probability": 0.6297200520833334}, {"start": 975.03, "end": 975.35, "word": " اه", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 44, "seek": 100425, "start": 980.79, "end": 1004.25, "text": "أضيف و اطرح واحد بصير مثل ذلك صعب اكتر اي نعم لكن انا بندي اقتراح اسهل من ذلك بكثير ايوة كويس يقول يجسم البص على المطبخ عن ايه كل الكلام اللي جاله الاخ؟", "tokens": [10721, 11242, 33911, 4032, 1975, 9566, 2288, 5016, 36764, 24401, 4724, 9381, 13546, 50113, 1211, 29910, 23275, 20328, 3615, 3555, 1975, 4117, 2655, 2288, 1975, 1829, 8717, 25957, 44381, 1975, 8315, 44945, 16254, 1975, 38149, 23557, 5016, 1975, 3794, 3224, 1211, 9154, 29910, 23275, 4724, 4117, 12984, 13546, 1975, 1829, 2407, 3660, 9122, 45865, 3794, 7251, 39648, 7251, 7435, 38251, 29739, 9381, 15844, 9673, 9566, 3555, 9778, 18871, 1975, 1829, 3224, 28242, 2423, 28820, 10943, 13672, 1829, 10874, 6027, 3224, 2423, 47283, 22807], "avg_logprob": -0.30636161885091234, "compression_ratio": 1.6484848484848484, "no_speech_prob": 0.0, "words": [{"start": 980.79, "end": 981.27, "word": "أضيف", "probability": 0.8304036458333334}, {"start": 981.27, "end": 981.47, "word": " و", "probability": 0.92431640625}, {"start": 981.47, "end": 981.67, "word": " اطرح", "probability": 0.746246337890625}, {"start": 981.67, "end": 982.17, "word": " واحد", "probability": 0.98681640625}, {"start": 982.17, "end": 989.05, "word": " بصير", "probability": 0.5773213704427084}, {"start": 989.05, "end": 989.55, "word": " مثل", "probability": 0.9453125}, {"start": 989.55, "end": 989.79, "word": " ذلك", "probability": 0.73193359375}, {"start": 989.79, "end": 990.33, "word": " صعب", "probability": 0.9840494791666666}, {"start": 990.33, "end": 991.15, "word": " اكتر", "probability": 0.812744140625}, {"start": 991.15, "end": 992.53, "word": " اي", "probability": 0.6522216796875}, {"start": 992.53, "end": 992.85, "word": " نعم", "probability": 0.9208984375}, {"start": 992.85, "end": 993.37, "word": " لكن", "probability": 0.732421875}, {"start": 993.37, "end": 993.75, "word": " انا", "probability": 0.8994140625}, {"start": 993.75, "end": 994.37, "word": " بندي", "probability": 0.518585205078125}, {"start": 994.37, "end": 995.21, "word": " اقتراح", "probability": 0.980224609375}, {"start": 995.21, "end": 995.85, "word": " اسهل", "probability": 0.7618408203125}, {"start": 995.85, "end": 996.07, "word": " من", "probability": 0.98095703125}, {"start": 996.07, "end": 996.43, "word": " ذلك", "probability": 0.9912109375}, {"start": 996.43, "end": 997.09, "word": " بكثير", "probability": 0.96533203125}, {"start": 997.09, "end": 997.71, "word": " ايوة", "probability": 0.7125244140625}, {"start": 997.71, "end": 999.59, "word": " كويس", "probability": 0.9318033854166666}, {"start": 999.59, "end": 999.93, "word": " يقول", "probability": 0.56622314453125}, {"start": 999.93, "end": 1000.33, "word": " يجسم", "probability": 0.6134440104166666}, {"start": 1000.33, "end": 1000.67, "word": " البص", "probability": 0.735595703125}, {"start": 1000.67, "end": 1000.79, "word": " على", "probability": 0.463623046875}, {"start": 1000.79, "end": 1001.21, "word": " المطبخ", "probability": 0.91015625}, {"start": 1001.21, "end": 1001.39, "word": " عن", "probability": 0.73583984375}, {"start": 1001.39, "end": 1001.55, "word": " ايه", "probability": 0.8170572916666666}, {"start": 1001.55, "end": 1001.75, "word": " كل", "probability": 0.1348876953125}, {"start": 1001.75, "end": 1002.27, "word": " الكلام", "probability": 0.93359375}, {"start": 1002.27, "end": 1002.49, "word": " اللي", "probability": 0.920166015625}, {"start": 1002.49, "end": 1003.41, "word": " جاله", "probability": 0.8644205729166666}, {"start": 1003.41, "end": 1004.25, "word": " الاخ؟", "probability": 0.77392578125}], "temperature": 1.0}, {"id": 45, "seek": 102872, "start": 1004.42, "end": 1028.72, "text": "الحلاج مش هيك الاسم الأول محمد اه محمد فوزي اه محمد فوزي الحلاج كمان؟ كويس يبقى اه بنوصل لمين بنوصل الاقتراح اللي قاله لا احنا عندنا شغل غير هيك ايش الشغل غير هيك؟مش ان اوصل للشكل هذا شو رأيك بيداخل X عامل مشترك من كل من البست والمقام على احدة", "tokens": [6027, 5016, 1211, 26108, 37893, 39896, 4117, 2423, 32277, 2304, 16247, 12610, 3714, 35571, 3215, 1975, 3224, 3714, 35571, 3215, 6156, 2407, 11622, 1829, 1975, 3224, 3714, 35571, 3215, 6156, 2407, 11622, 1829, 21542, 1211, 26108, 9122, 2304, 7649, 22807, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 1975, 3224, 44945, 2407, 36520, 32767, 9957, 44945, 2407, 36520, 42963, 38149, 23557, 5016, 13672, 1829, 50239, 3224, 20193, 1975, 5016, 8315, 43242, 8315, 13412, 17082, 1211, 32771, 13546, 39896, 4117, 1975, 1829, 8592, 25124, 17082, 1211, 32771, 13546, 39896, 4117, 22807, 2304, 8592, 16472, 1975, 2407, 36520, 24976, 8592, 28820, 23758, 13412, 2407, 12602, 10721, 1829, 4117, 4724, 25708, 47283, 1211, 1783, 6225, 10943, 1211, 37893, 2655, 31747, 9154, 28242, 9154, 29739, 14851, 16070, 2304, 4587, 10943, 15844, 1975, 24401, 3660], "avg_logprob": -0.2318509611945886, "compression_ratio": 2.0373831775700935, "no_speech_prob": 0.0, "words": [{"start": 1004.42, "end": 1005.14, "word": "الحلاج", "probability": 0.605712890625}, {"start": 1005.14, "end": 1005.34, "word": " مش", "probability": 0.7998046875}, {"start": 1005.34, "end": 1005.72, "word": " هيك", "probability": 0.924072265625}, {"start": 1005.72, "end": 1006.54, "word": " الاسم", "probability": 0.7870279947916666}, {"start": 1006.54, "end": 1006.88, "word": " الأول", "probability": 0.92041015625}, {"start": 1006.88, "end": 1007.48, "word": " محمد", "probability": 0.9606119791666666}, {"start": 1007.48, "end": 1008.2, "word": " اه", "probability": 0.2998046875}, {"start": 1008.2, "end": 1008.68, "word": " محمد", "probability": 0.9871419270833334}, {"start": 1008.68, "end": 1009.2, "word": " فوزي", "probability": 0.9072265625}, {"start": 1009.2, "end": 1009.82, "word": " اه", "probability": 0.6231689453125}, {"start": 1009.82, "end": 1010.2, "word": " محمد", "probability": 0.9822591145833334}, {"start": 1010.2, "end": 1010.62, "word": " فوزي", "probability": 0.8741455078125}, {"start": 1010.62, "end": 1011.06, "word": " الحلاج", "probability": 0.9251302083333334}, {"start": 1011.06, "end": 1012.36, "word": " كمان؟", "probability": 0.67633056640625}, {"start": 1012.36, "end": 1013.54, "word": " كويس", "probability": 0.9200846354166666}, {"start": 1013.54, "end": 1014.22, "word": " يبقى", "probability": 0.838623046875}, {"start": 1014.22, "end": 1014.52, "word": " اه", "probability": 0.755615234375}, {"start": 1014.52, "end": 1015.18, "word": " بنوصل", "probability": 0.9462890625}, {"start": 1015.18, "end": 1015.7, "word": " لمين", "probability": 0.83642578125}, {"start": 1015.7, "end": 1016.16, "word": " بنوصل", "probability": 0.7894694010416666}, {"start": 1016.16, "end": 1016.78, "word": " الاقتراح", "probability": 0.82275390625}, {"start": 1016.78, "end": 1016.94, "word": " اللي", "probability": 0.791259765625}, {"start": 1016.94, "end": 1017.26, "word": " قاله", "probability": 0.73876953125}, {"start": 1017.26, "end": 1017.54, "word": " لا", "probability": 0.51611328125}, {"start": 1017.54, "end": 1017.92, "word": " احنا", "probability": 0.9783528645833334}, {"start": 1017.92, "end": 1018.26, "word": " عندنا", "probability": 0.74560546875}, {"start": 1018.26, "end": 1018.64, "word": " شغل", "probability": 0.9124348958333334}, {"start": 1018.64, "end": 1018.98, "word": " غير", "probability": 0.972412109375}, {"start": 1018.98, "end": 1019.36, "word": " هيك", "probability": 0.980224609375}, {"start": 1019.36, "end": 1020.04, "word": " ايش", "probability": 0.8468424479166666}, {"start": 1020.04, "end": 1020.48, "word": " الشغل", "probability": 0.89111328125}, {"start": 1020.48, "end": 1020.72, "word": " غير", "probability": 0.992431640625}, {"start": 1020.72, "end": 1021.04, "word": " هيك؟مش", "probability": 0.81572265625}, {"start": 1021.04, "end": 1021.22, "word": " ان", "probability": 0.387939453125}, {"start": 1021.22, "end": 1021.76, "word": " اوصل", "probability": 0.931640625}, {"start": 1021.76, "end": 1022.32, "word": " للشكل", "probability": 0.8699544270833334}, {"start": 1022.32, "end": 1022.66, "word": " هذا", "probability": 0.95751953125}, {"start": 1022.66, "end": 1023.28, "word": " شو", "probability": 0.90576171875}, {"start": 1023.28, "end": 1023.6, "word": " رأيك", "probability": 0.8638916015625}, {"start": 1023.6, "end": 1024.14, "word": " بيداخل", "probability": 0.6317138671875}, {"start": 1024.14, "end": 1024.5, "word": " X", "probability": 0.53173828125}, {"start": 1024.5, "end": 1024.88, "word": " عامل", "probability": 0.8248697916666666}, {"start": 1024.88, "end": 1025.36, "word": " مشترك", "probability": 0.9404296875}, {"start": 1025.36, "end": 1025.54, "word": " من", "probability": 0.98486328125}, {"start": 1025.54, "end": 1025.8, "word": " كل", "probability": 0.98779296875}, {"start": 1025.8, "end": 1026.08, "word": " من", "probability": 0.9013671875}, {"start": 1026.08, "end": 1026.48, "word": " البست", "probability": 0.61962890625}, {"start": 1026.48, "end": 1027.3, "word": " والمقام", "probability": 0.9559326171875}, {"start": 1027.3, "end": 1028.14, "word": " على", "probability": 0.68212890625}, {"start": 1028.14, "end": 1028.72, "word": " احدة", "probability": 0.7010091145833334}], "temperature": 1.0}, {"id": 46, "seek": 105167, "start": 1029.09, "end": 1051.67, "text": "يعني كيف؟ يعني بقدر اقول هذه ال limit لما ال x tends to infinity لمن؟ لأي ال x عم المشترك بظل واحد زائد اتنين على x والمقام بدي اخد x عم المشترك بظل واحد ناقص واحد على x وهذا كله to the power x", "tokens": [40228, 22653, 9122, 33911, 22807, 37495, 22653, 4724, 28543, 2288, 1975, 39648, 29538, 2423, 4948, 5296, 15042, 2423, 2031, 12258, 281, 13202, 5296, 27842, 22807, 5296, 10721, 1829, 2423, 2031, 6225, 2304, 9673, 8592, 2655, 31747, 4724, 19913, 1211, 36764, 24401, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 15844, 2031, 16070, 2304, 4587, 10943, 4724, 16254, 1975, 9778, 3215, 2031, 6225, 2304, 9673, 8592, 2655, 31747, 4724, 19913, 1211, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 2031, 37037, 15730, 28242, 3224, 281, 264, 1347, 2031], "avg_logprob": -0.18359374966133724, "compression_ratio": 1.6505376344086022, "no_speech_prob": 0.0, "words": [{"start": 1029.09, "end": 1029.53, "word": "يعني", "probability": 0.822021484375}, {"start": 1029.53, "end": 1030.27, "word": " كيف؟", "probability": 0.8592122395833334}, {"start": 1030.27, "end": 1030.61, "word": " يعني", "probability": 0.77294921875}, {"start": 1030.61, "end": 1031.11, "word": " بقدر", "probability": 0.9401041666666666}, {"start": 1031.11, "end": 1031.59, "word": " اقول", "probability": 0.78271484375}, {"start": 1031.59, "end": 1032.03, "word": " هذه", "probability": 0.6484375}, {"start": 1032.03, "end": 1032.19, "word": " ال", "probability": 0.39306640625}, {"start": 1032.19, "end": 1032.63, "word": " limit", "probability": 0.736328125}, {"start": 1032.63, "end": 1033.45, "word": " لما", "probability": 0.886474609375}, {"start": 1033.45, "end": 1033.65, "word": " ال", "probability": 0.83154296875}, {"start": 1033.65, "end": 1033.95, "word": " x", "probability": 0.525390625}, {"start": 1033.95, "end": 1034.33, "word": " tends", "probability": 0.74560546875}, {"start": 1034.33, "end": 1034.57, "word": " to", "probability": 0.9091796875}, {"start": 1034.57, "end": 1035.29, "word": " infinity", "probability": 0.89404296875}, {"start": 1035.29, "end": 1036.57, "word": " لمن؟", "probability": 0.6615397135416666}, {"start": 1036.57, "end": 1037.17, "word": " لأي", "probability": 0.8279622395833334}, {"start": 1037.17, "end": 1037.35, "word": " ال", "probability": 0.75}, {"start": 1037.35, "end": 1037.65, "word": " x", "probability": 0.87353515625}, {"start": 1037.65, "end": 1037.95, "word": " عم", "probability": 0.744140625}, {"start": 1037.95, "end": 1038.59, "word": " المشترك", "probability": 0.873291015625}, {"start": 1038.59, "end": 1039.35, "word": " بظل", "probability": 0.6529947916666666}, {"start": 1039.35, "end": 1039.99, "word": " واحد", "probability": 0.779052734375}, {"start": 1039.99, "end": 1040.63, "word": " زائد", "probability": 0.9482421875}, {"start": 1040.63, "end": 1041.27, "word": " اتنين", "probability": 0.9571533203125}, {"start": 1041.27, "end": 1041.55, "word": " على", "probability": 0.68896484375}, {"start": 1041.55, "end": 1041.93, "word": " x", "probability": 0.89501953125}, {"start": 1041.93, "end": 1043.31, "word": " والمقام", "probability": 0.771728515625}, {"start": 1043.31, "end": 1043.59, "word": " بدي", "probability": 0.845947265625}, {"start": 1043.59, "end": 1044.03, "word": " اخد", "probability": 0.8771158854166666}, {"start": 1044.03, "end": 1044.41, "word": " x", "probability": 0.9775390625}, {"start": 1044.41, "end": 1044.75, "word": " عم", "probability": 0.91796875}, {"start": 1044.75, "end": 1045.41, "word": " المشترك", "probability": 0.9957275390625}, {"start": 1045.41, "end": 1046.11, "word": " بظل", "probability": 0.8543294270833334}, {"start": 1046.11, "end": 1046.69, "word": " واحد", "probability": 0.990234375}, {"start": 1046.69, "end": 1047.41, "word": " ناقص", "probability": 0.98291015625}, {"start": 1047.41, "end": 1048.01, "word": " واحد", "probability": 0.987548828125}, {"start": 1048.01, "end": 1048.27, "word": " على", "probability": 0.82666015625}, {"start": 1048.27, "end": 1048.65, "word": " x", "probability": 0.97802734375}, {"start": 1048.65, "end": 1049.55, "word": " وهذا", "probability": 0.8642578125}, {"start": 1049.55, "end": 1050.15, "word": " كله", "probability": 0.984619140625}, {"start": 1050.15, "end": 1050.31, "word": " to", "probability": 0.94677734375}, {"start": 1050.31, "end": 1050.55, "word": " the", "probability": 0.9287109375}, {"start": 1050.55, "end": 1051.07, "word": " power", "probability": 0.8994140625}, {"start": 1051.07, "end": 1051.67, "word": " x", "probability": 0.92138671875}], "temperature": 1.0}, {"id": 47, "seek": 108089, "start": 1053.49, "end": 1080.89, "text": "تمام هلحين هذه ال X ممكن أقولها مع السلامة على هذه وهذا ال X يعتبر لكل من البصف والمقام صحيح ولا لا؟ إذا بقدر أقول هذا limit لما ال X tends to infinity لواحد زائد اتنين على X كله to the power X على واحد ماقص واحد او زائد واحد", "tokens": [2655, 15042, 2304, 8032, 1211, 5016, 9957, 29538, 2423, 1783, 3714, 43020, 5551, 39648, 11296, 20449, 21136, 37440, 3660, 15844, 29538, 37037, 15730, 2423, 1783, 7251, 34268, 26890, 5296, 28820, 9154, 29739, 9381, 5172, 16070, 2304, 4587, 10943, 20328, 5016, 1829, 5016, 49429, 20193, 22807, 11933, 15730, 4724, 28543, 2288, 5551, 39648, 23758, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 5296, 14407, 24401, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 15844, 1783, 28242, 3224, 281, 264, 1347, 1783, 15844, 36764, 24401, 19446, 4587, 9381, 36764, 24401, 1975, 2407, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.26973683206658616, "compression_ratio": 1.7183098591549295, "no_speech_prob": 0.0, "words": [{"start": 1053.49, "end": 1054.35, "word": "تمام", "probability": 0.5738525390625}, {"start": 1054.35, "end": 1055.29, "word": " هلحين", "probability": 0.6190185546875}, {"start": 1055.29, "end": 1055.77, "word": " هذه", "probability": 0.58203125}, {"start": 1055.77, "end": 1056.53, "word": " ال", "probability": 0.82763671875}, {"start": 1056.53, "end": 1056.87, "word": " X", "probability": 0.61083984375}, {"start": 1056.87, "end": 1057.49, "word": " ممكن", "probability": 0.920654296875}, {"start": 1057.49, "end": 1057.89, "word": " أقولها", "probability": 0.815673828125}, {"start": 1057.89, "end": 1058.07, "word": " مع", "probability": 0.96630859375}, {"start": 1058.07, "end": 1058.67, "word": " السلامة", "probability": 0.9207356770833334}, {"start": 1058.67, "end": 1058.83, "word": " على", "probability": 0.701171875}, {"start": 1058.83, "end": 1059.13, "word": " هذه", "probability": 0.90625}, {"start": 1059.13, "end": 1060.33, "word": " وهذا", "probability": 0.6298828125}, {"start": 1060.33, "end": 1060.49, "word": " ال", "probability": 0.287109375}, {"start": 1060.49, "end": 1060.69, "word": " X", "probability": 0.1466064453125}, {"start": 1060.69, "end": 1061.21, "word": " يعتبر", "probability": 0.9375}, {"start": 1061.21, "end": 1061.91, "word": " لكل", "probability": 0.94677734375}, {"start": 1061.91, "end": 1062.39, "word": " من", "probability": 0.919921875}, {"start": 1062.39, "end": 1062.97, "word": " البصف", "probability": 0.5760091145833334}, {"start": 1062.97, "end": 1063.67, "word": " والمقام", "probability": 0.8699951171875}, {"start": 1063.67, "end": 1064.47, "word": " صحيح", "probability": 0.82501220703125}, {"start": 1064.47, "end": 1064.65, "word": " ولا", "probability": 0.822265625}, {"start": 1064.65, "end": 1065.33, "word": " لا؟", "probability": 0.58056640625}, {"start": 1065.33, "end": 1065.61, "word": " إذا", "probability": 0.6063232421875}, {"start": 1065.61, "end": 1066.09, "word": " بقدر", "probability": 0.9654947916666666}, {"start": 1066.09, "end": 1066.55, "word": " أقول", "probability": 0.895751953125}, {"start": 1066.55, "end": 1067.15, "word": " هذا", "probability": 0.93017578125}, {"start": 1067.15, "end": 1068.23, "word": " limit", "probability": 0.84326171875}, {"start": 1068.23, "end": 1069.01, "word": " لما", "probability": 0.92529296875}, {"start": 1069.01, "end": 1069.21, "word": " ال", "probability": 0.81396484375}, {"start": 1069.21, "end": 1069.45, "word": " X", "probability": 0.98828125}, {"start": 1069.45, "end": 1069.81, "word": " tends", "probability": 0.716796875}, {"start": 1069.81, "end": 1070.07, "word": " to", "probability": 0.91357421875}, {"start": 1070.07, "end": 1070.79, "word": " infinity", "probability": 0.84228515625}, {"start": 1070.79, "end": 1072.19, "word": " لواحد", "probability": 0.6953125}, {"start": 1072.19, "end": 1072.81, "word": " زائد", "probability": 0.8645833333333334}, {"start": 1072.81, "end": 1073.47, "word": " اتنين", "probability": 0.960693359375}, {"start": 1073.47, "end": 1073.81, "word": " على", "probability": 0.82080078125}, {"start": 1073.81, "end": 1074.23, "word": " X", "probability": 0.97802734375}, {"start": 1074.23, "end": 1075.07, "word": " كله", "probability": 0.9619140625}, {"start": 1075.07, "end": 1075.23, "word": " to", "probability": 0.87255859375}, {"start": 1075.23, "end": 1075.55, "word": " the", "probability": 0.921875}, {"start": 1075.55, "end": 1075.97, "word": " power", "probability": 0.8828125}, {"start": 1075.97, "end": 1076.47, "word": " X", "probability": 0.9619140625}, {"start": 1076.47, "end": 1077.19, "word": " على", "probability": 0.794921875}, {"start": 1077.19, "end": 1077.89, "word": " واحد", "probability": 0.988037109375}, {"start": 1077.89, "end": 1078.77, "word": " ماقص", "probability": 0.734375}, {"start": 1078.77, "end": 1079.19, "word": " واحد", "probability": 0.85986328125}, {"start": 1079.19, "end": 1079.47, "word": " او", "probability": 0.7147216796875}, {"start": 1079.47, "end": 1080.17, "word": " زائد", "probability": 0.9763997395833334}, {"start": 1080.17, "end": 1080.89, "word": " واحد", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 48, "seek": 109340, "start": 1081.26, "end": 1093.4, "text": "وهنا بدأ اضع ناقص واحد كله to the power x بالشكل اللي عندنا ناقص واحد كتبتها زائد ناقص واحد", "tokens": [2407, 3224, 8315, 47525, 10721, 1975, 11242, 3615, 8717, 995, 4587, 9381, 36764, 24401, 28242, 3224, 281, 264, 1347, 2031, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 8717, 995, 4587, 9381, 36764, 24401, 9122, 2655, 3555, 2655, 11296, 30767, 16373, 3215, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.26806640438735485, "compression_ratio": 1.4036697247706422, "no_speech_prob": 0.0, "words": [{"start": 1081.26, "end": 1081.86, "word": "وهنا", "probability": 0.4925944010416667}, {"start": 1081.86, "end": 1082.2, "word": " بدأ", "probability": 0.4420166015625}, {"start": 1082.2, "end": 1082.48, "word": " اضع", "probability": 0.5741373697916666}, {"start": 1082.48, "end": 1083.16, "word": " ناقص", "probability": 0.771697998046875}, {"start": 1083.16, "end": 1083.78, "word": " واحد", "probability": 0.967041015625}, {"start": 1083.78, "end": 1084.62, "word": " كله", "probability": 0.873046875}, {"start": 1084.62, "end": 1084.8, "word": " to", "probability": 0.58154296875}, {"start": 1084.8, "end": 1085.06, "word": " the", "probability": 0.90576171875}, {"start": 1085.06, "end": 1085.5, "word": " power", "probability": 0.8623046875}, {"start": 1085.5, "end": 1085.9, "word": " x", "probability": 0.560546875}, {"start": 1085.9, "end": 1086.44, "word": " بالشكل", "probability": 0.953125}, {"start": 1086.44, "end": 1086.6, "word": " اللي", "probability": 0.924072265625}, {"start": 1086.6, "end": 1087.0, "word": " عندنا", "probability": 0.65625}, {"start": 1087.0, "end": 1090.92, "word": " ناقص", "probability": 0.8489990234375}, {"start": 1090.92, "end": 1091.16, "word": " واحد", "probability": 0.983642578125}, {"start": 1091.16, "end": 1091.72, "word": " كتبتها", "probability": 0.826171875}, {"start": 1091.72, "end": 1092.42, "word": " زائد", "probability": 0.744873046875}, {"start": 1092.42, "end": 1093.0, "word": " ناقص", "probability": 0.9908447265625}, {"start": 1093.0, "end": 1093.4, "word": " واحد", "probability": 0.992431640625}], "temperature": 1.0}, {"id": 49, "seek": 111146, "start": 1093.84, "end": 1111.46, "text": "يبقى اطلعلي في هذا السؤال الأول ال limit كان هو limit للبسط و limit للمقار صحيح ولا لا limit البسط من السؤال هو القدرش بيعطيلك E ثربيع يبقى هذا الكلام بدي يعطيلك E square هذا برضه بنفس المثل بيعطيك مام", "tokens": [1829, 3555, 4587, 7578, 1975, 9566, 1211, 3615, 20292, 8978, 23758, 21136, 33604, 6027, 16247, 12610, 2423, 4948, 25961, 31439, 4948, 24976, 3555, 3794, 9566, 4032, 4948, 5296, 19528, 4587, 9640, 20328, 5016, 1829, 5016, 49429, 20193, 4948, 29739, 3794, 9566, 9154, 21136, 33604, 6027, 31439, 25062, 3215, 2288, 8592, 4724, 1829, 3615, 9566, 1829, 23275, 462, 38637, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 4724, 16254, 37495, 9566, 1829, 23275, 462, 3732, 23758, 4724, 43042, 3224, 44945, 36178, 9673, 12984, 1211, 4724, 40228, 9566, 1829, 4117, 3714, 10943], "avg_logprob": -0.35605054618196286, "compression_ratio": 1.8010752688172043, "no_speech_prob": 0.0, "words": [{"start": 1093.84, "end": 1094.24, "word": "يبقى", "probability": 0.73638916015625}, {"start": 1094.24, "end": 1094.88, "word": " اطلعلي", "probability": 0.616796875}, {"start": 1094.88, "end": 1095.06, "word": " في", "probability": 0.77392578125}, {"start": 1095.06, "end": 1095.24, "word": " هذا", "probability": 0.44287109375}, {"start": 1095.24, "end": 1095.74, "word": " السؤال", "probability": 0.9837239583333334}, {"start": 1095.74, "end": 1096.22, "word": " الأول", "probability": 0.909423828125}, {"start": 1096.22, "end": 1096.52, "word": " ال", "probability": 0.353759765625}, {"start": 1096.52, "end": 1096.8, "word": " limit", "probability": 0.83544921875}, {"start": 1096.8, "end": 1097.08, "word": " كان", "probability": 0.96044921875}, {"start": 1097.08, "end": 1097.18, "word": " هو", "probability": 0.354736328125}, {"start": 1097.18, "end": 1097.44, "word": " limit", "probability": 0.85595703125}, {"start": 1097.44, "end": 1097.92, "word": " للبسط", "probability": 0.582550048828125}, {"start": 1097.92, "end": 1098.02, "word": " و", "probability": 0.5126953125}, {"start": 1098.02, "end": 1098.2, "word": " limit", "probability": 0.8876953125}, {"start": 1098.2, "end": 1098.86, "word": " للمقار", "probability": 0.7623291015625}, {"start": 1098.86, "end": 1099.38, "word": " صحيح", "probability": 0.8841552734375}, {"start": 1099.38, "end": 1099.5, "word": " ولا", "probability": 0.88525390625}, {"start": 1099.5, "end": 1099.78, "word": " لا", "probability": 0.765625}, {"start": 1099.78, "end": 1100.76, "word": " limit", "probability": 0.5244140625}, {"start": 1100.76, "end": 1101.4, "word": " البسط", "probability": 0.8190104166666666}, {"start": 1101.4, "end": 1101.58, "word": " من", "probability": 0.9521484375}, {"start": 1101.58, "end": 1102.0, "word": " السؤال", "probability": 0.9913736979166666}, {"start": 1102.0, "end": 1102.18, "word": " هو", "probability": 0.35498046875}, {"start": 1102.18, "end": 1102.6, "word": " القدرش", "probability": 0.539306640625}, {"start": 1102.6, "end": 1103.4, "word": " بيعطيلك", "probability": 0.775634765625}, {"start": 1103.4, "end": 1104.02, "word": " E", "probability": 0.39404296875}, {"start": 1104.02, "end": 1104.82, "word": " ثربيع", "probability": 0.6024169921875}, {"start": 1104.82, "end": 1105.76, "word": " يبقى", "probability": 0.977783203125}, {"start": 1105.76, "end": 1106.02, "word": " هذا", "probability": 0.96142578125}, {"start": 1106.02, "end": 1106.52, "word": " الكلام", "probability": 0.9684244791666666}, {"start": 1106.52, "end": 1106.78, "word": " بدي", "probability": 0.40966796875}, {"start": 1106.78, "end": 1107.3, "word": " يعطيلك", "probability": 0.8919677734375}, {"start": 1107.3, "end": 1107.66, "word": " E", "probability": 0.97802734375}, {"start": 1107.66, "end": 1108.3, "word": " square", "probability": 0.38232421875}, {"start": 1108.3, "end": 1109.24, "word": " هذا", "probability": 0.89013671875}, {"start": 1109.24, "end": 1109.76, "word": " برضه", "probability": 0.85693359375}, {"start": 1109.76, "end": 1110.12, "word": " بنفس", "probability": 0.633544921875}, {"start": 1110.12, "end": 1110.58, "word": " المثل", "probability": 0.9523111979166666}, {"start": 1110.58, "end": 1111.1, "word": " بيعطيك", "probability": 0.768212890625}, {"start": 1111.1, "end": 1111.46, "word": " مام", "probability": 0.373779296875}], "temperature": 1.0}, {"id": 50, "seek": 113874, "start": 1111.72, "end": 1138.74, "text": "يبقى E أُس سالب واحد هذا الكلام جيبناه من أين؟ from ال question one يعني من المثال او من ال example one من المثال الأول هذه ال backdrop اقول هي مين؟ هي E تكعين وانتهينا منها لا مشينا لا خط ولا تاني ولا تالتة ولا رابعة طيب لو كان السؤال هذا جاني في الأول لو جبته مثال", "tokens": [1829, 3555, 4587, 7578, 462, 5551, 10859, 3794, 8608, 6027, 3555, 36764, 24401, 23758, 2423, 28820, 10943, 10874, 1829, 3555, 8315, 3224, 9154, 5551, 9957, 22807, 490, 2423, 1168, 472, 37495, 22653, 9154, 9673, 12984, 6027, 1975, 2407, 9154, 2423, 1365, 472, 9154, 9673, 12984, 6027, 16247, 12610, 29538, 2423, 646, 16753, 404, 1975, 39648, 39896, 3714, 9957, 22807, 39896, 462, 6055, 4117, 3615, 9957, 4032, 7649, 47395, 1829, 8315, 9154, 11296, 20193, 37893, 1829, 8315, 20193, 16490, 9566, 49429, 6055, 7649, 1829, 49429, 6055, 6027, 2655, 3660, 49429, 12602, 16758, 27884, 23032, 1829, 3555, 45164, 25961, 21136, 33604, 6027, 23758, 10874, 7649, 1829, 8978, 16247, 12610, 45164, 10874, 3555, 47395, 50113, 6027], "avg_logprob": -0.25986841869981664, "compression_ratio": 1.8073770491803278, "no_speech_prob": 0.0, "words": [{"start": 1111.72, "end": 1112.8, "word": "يبقى", "probability": 0.8995361328125}, {"start": 1112.8, "end": 1113.44, "word": " E", "probability": 0.31787109375}, {"start": 1113.44, "end": 1114.2, "word": " أُس", "probability": 0.5908203125}, {"start": 1114.2, "end": 1114.7, "word": " سالب", "probability": 0.6448872884114584}, {"start": 1114.7, "end": 1114.96, "word": " واحد", "probability": 0.8642578125}, {"start": 1114.96, "end": 1115.56, "word": " هذا", "probability": 0.498779296875}, {"start": 1115.56, "end": 1116.06, "word": " الكلام", "probability": 0.9456380208333334}, {"start": 1116.06, "end": 1116.54, "word": " جيبناه", "probability": 0.83857421875}, {"start": 1116.54, "end": 1116.64, "word": " من", "probability": 0.9697265625}, {"start": 1116.64, "end": 1117.22, "word": " أين؟", "probability": 0.6880696614583334}, {"start": 1117.22, "end": 1118.1, "word": " from", "probability": 0.49951171875}, {"start": 1118.1, "end": 1118.82, "word": " ال", "probability": 0.29833984375}, {"start": 1118.82, "end": 1119.16, "word": " question", "probability": 0.77001953125}, {"start": 1119.16, "end": 1119.7, "word": " one", "probability": 0.69873046875}, {"start": 1119.7, "end": 1120.04, "word": " يعني", "probability": 0.7171630859375}, {"start": 1120.04, "end": 1120.24, "word": " من", "probability": 0.943359375}, {"start": 1120.24, "end": 1120.98, "word": " المثال", "probability": 0.9777018229166666}, {"start": 1120.98, "end": 1121.18, "word": " او", "probability": 0.6820068359375}, {"start": 1121.18, "end": 1121.28, "word": " من", "probability": 0.51611328125}, {"start": 1121.28, "end": 1121.38, "word": " ال", "probability": 0.802734375}, {"start": 1121.38, "end": 1121.74, "word": " example", "probability": 0.90625}, {"start": 1121.74, "end": 1122.1, "word": " one", "probability": 0.9189453125}, {"start": 1122.1, "end": 1122.58, "word": " من", "probability": 0.87548828125}, {"start": 1122.58, "end": 1123.54, "word": " المثال", "probability": 0.9930013020833334}, {"start": 1123.54, "end": 1124.62, "word": " الأول", "probability": 0.96435546875}, {"start": 1124.62, "end": 1125.58, "word": " هذه", "probability": 0.66455078125}, {"start": 1125.58, "end": 1125.76, "word": " ال", "probability": 0.423583984375}, {"start": 1125.76, "end": 1126.06, "word": " backdrop", "probability": 0.4195149739583333}, {"start": 1126.06, "end": 1126.42, "word": " اقول", "probability": 0.566650390625}, {"start": 1126.42, "end": 1126.64, "word": " هي", "probability": 0.80859375}, {"start": 1126.64, "end": 1127.58, "word": " مين؟", "probability": 0.810546875}, {"start": 1127.58, "end": 1128.06, "word": " هي", "probability": 0.87841796875}, {"start": 1128.06, "end": 1128.9, "word": " E", "probability": 0.4365234375}, {"start": 1128.9, "end": 1129.78, "word": " تكعين", "probability": 0.7860107421875}, {"start": 1129.78, "end": 1130.9, "word": " وانتهينا", "probability": 0.86123046875}, {"start": 1130.9, "end": 1131.22, "word": " منها", "probability": 0.9853515625}, {"start": 1131.22, "end": 1131.42, "word": " لا", "probability": 0.6708984375}, {"start": 1131.42, "end": 1131.86, "word": " مشينا", "probability": 0.791015625}, {"start": 1131.86, "end": 1132.04, "word": " لا", "probability": 0.87353515625}, {"start": 1132.04, "end": 1132.32, "word": " خط", "probability": 0.94921875}, {"start": 1132.32, "end": 1132.5, "word": " ولا", "probability": 0.78857421875}, {"start": 1132.5, "end": 1132.86, "word": " تاني", "probability": 0.9549153645833334}, {"start": 1132.86, "end": 1133.08, "word": " ولا", "probability": 0.97021484375}, {"start": 1133.08, "end": 1133.46, "word": " تالتة", "probability": 0.9503173828125}, {"start": 1133.46, "end": 1133.62, "word": " ولا", "probability": 0.97900390625}, {"start": 1133.62, "end": 1133.96, "word": " رابعة", "probability": 0.9466145833333334}, {"start": 1133.96, "end": 1135.2, "word": " طيب", "probability": 0.9539388020833334}, {"start": 1135.2, "end": 1135.84, "word": " لو", "probability": 0.814453125}, {"start": 1135.84, "end": 1136.12, "word": " كان", "probability": 0.9921875}, {"start": 1136.12, "end": 1136.46, "word": " السؤال", "probability": 0.9933268229166666}, {"start": 1136.46, "end": 1136.74, "word": " هذا", "probability": 0.90966796875}, {"start": 1136.74, "end": 1137.12, "word": " جاني", "probability": 0.9099934895833334}, {"start": 1137.12, "end": 1137.22, "word": " في", "probability": 0.9560546875}, {"start": 1137.22, "end": 1137.64, "word": " الأول", "probability": 0.970947265625}, {"start": 1137.64, "end": 1137.84, "word": " لو", "probability": 0.348388671875}, {"start": 1137.84, "end": 1138.2, "word": " جبته", "probability": 0.8141276041666666}, {"start": 1138.2, "end": 1138.74, "word": " مثال", "probability": 0.966796875}], "temperature": 1.0}, {"id": 51, "seek": 116081, "start": 1139.25, "end": 1160.81, "text": "يبقى بدي أمشي فيه لو إلا حد هنا، و بعدين بدي أروح أخد هذه لحالها، و أجيب اللي متلها الأربع خطوات، و هذه اللي متلها أربع خطوات، و أشوف كده بده ياخد وجد، تمام؟ إذا وجود السؤال هذا في الأول، حلي كل الإشكاليات بعد ذلك، جد ما تكون أي رقم،", "tokens": [1829, 3555, 4587, 7578, 4724, 16254, 5551, 2304, 8592, 1829, 8978, 3224, 45164, 11933, 15040, 11331, 3215, 34105, 12399, 4032, 39182, 9957, 4724, 16254, 5551, 32887, 5016, 5551, 9778, 3215, 29538, 5296, 5016, 6027, 11296, 12399, 4032, 5551, 7435, 1829, 3555, 13672, 1829, 44650, 1211, 11296, 16247, 25513, 3615, 16490, 9566, 2407, 9307, 12399, 4032, 29538, 13672, 1829, 44650, 1211, 11296, 5551, 25513, 3615, 16490, 9566, 2407, 9307, 12399, 4032, 5551, 8592, 38688, 9122, 3215, 3224, 47525, 3224, 7251, 47283, 3215, 49610, 3215, 12399, 46811, 10943, 22807, 11933, 15730, 49610, 23328, 21136, 33604, 6027, 23758, 8978, 16247, 12610, 12399, 11331, 20292, 28242, 33688, 8592, 4117, 6027, 1829, 9307, 39182, 29910, 23275, 12399, 10874, 3215, 19446, 6055, 30544, 36632, 12602, 4587, 2304, 12399], "avg_logprob": -0.2215447173855169, "compression_ratio": 1.9216589861751152, "no_speech_prob": 0.0, "words": [{"start": 1139.25, "end": 1139.77, "word": "يبقى", "probability": 0.72314453125}, {"start": 1139.77, "end": 1140.03, "word": " بدي", "probability": 0.5260009765625}, {"start": 1140.03, "end": 1140.51, "word": " أمشي", "probability": 0.9310302734375}, {"start": 1140.51, "end": 1140.71, "word": " فيه", "probability": 0.958984375}, {"start": 1140.71, "end": 1140.85, "word": " لو", "probability": 0.8203125}, {"start": 1140.85, "end": 1141.11, "word": " إلا", "probability": 0.599853515625}, {"start": 1141.11, "end": 1141.59, "word": " حد", "probability": 0.989990234375}, {"start": 1141.59, "end": 1142.35, "word": " هنا،", "probability": 0.6307373046875}, {"start": 1142.35, "end": 1142.73, "word": " و", "probability": 0.56396484375}, {"start": 1142.73, "end": 1143.23, "word": " بعدين", "probability": 0.745361328125}, {"start": 1143.23, "end": 1143.53, "word": " بدي", "probability": 0.603271484375}, {"start": 1143.53, "end": 1143.73, "word": " أروح", "probability": 0.85302734375}, {"start": 1143.73, "end": 1144.27, "word": " أخد", "probability": 0.7937825520833334}, {"start": 1144.27, "end": 1144.63, "word": " هذه", "probability": 0.51953125}, {"start": 1144.63, "end": 1145.93, "word": " لحالها،", "probability": 0.9037109375}, {"start": 1145.93, "end": 1145.99, "word": " و", "probability": 0.837890625}, {"start": 1145.99, "end": 1146.29, "word": " أجيب", "probability": 0.95703125}, {"start": 1146.29, "end": 1146.57, "word": " اللي", "probability": 0.97265625}, {"start": 1146.57, "end": 1146.95, "word": " متلها", "probability": 0.8712565104166666}, {"start": 1146.95, "end": 1147.43, "word": " الأربع", "probability": 0.9010416666666666}, {"start": 1147.43, "end": 1148.35, "word": " خطوات،", "probability": 0.94921875}, {"start": 1148.35, "end": 1148.51, "word": " و", "probability": 0.791015625}, {"start": 1148.51, "end": 1148.75, "word": " هذه", "probability": 0.513671875}, {"start": 1148.75, "end": 1148.93, "word": " اللي", "probability": 0.9931640625}, {"start": 1148.93, "end": 1149.33, "word": " متلها", "probability": 0.9765625}, {"start": 1149.33, "end": 1149.65, "word": " أربع", "probability": 0.7890625}, {"start": 1149.65, "end": 1149.79, "word": " خطوات،", "probability": 0.966796875}, {"start": 1149.79, "end": 1149.89, "word": " و", "probability": 0.94970703125}, {"start": 1149.89, "end": 1150.05, "word": " أشوف", "probability": 0.7328287760416666}, {"start": 1150.05, "end": 1150.37, "word": " كده", "probability": 0.75732421875}, {"start": 1150.37, "end": 1150.67, "word": " بده", "probability": 0.3173828125}, {"start": 1150.67, "end": 1150.97, "word": " ياخد", "probability": 0.8850911458333334}, {"start": 1150.97, "end": 1151.71, "word": " وجد،", "probability": 0.546142578125}, {"start": 1151.71, "end": 1152.61, "word": " تمام؟", "probability": 0.9344075520833334}, {"start": 1152.61, "end": 1152.93, "word": " إذا", "probability": 0.76171875}, {"start": 1152.93, "end": 1153.39, "word": " وجود", "probability": 0.920166015625}, {"start": 1153.39, "end": 1153.79, "word": " السؤال", "probability": 0.9938151041666666}, {"start": 1153.79, "end": 1154.01, "word": " هذا", "probability": 0.8544921875}, {"start": 1154.01, "end": 1154.13, "word": " في", "probability": 0.65673828125}, {"start": 1154.13, "end": 1154.75, "word": " الأول،", "probability": 0.861328125}, {"start": 1154.75, "end": 1155.23, "word": " حلي", "probability": 0.79052734375}, {"start": 1155.23, "end": 1155.69, "word": " كل", "probability": 0.9697265625}, {"start": 1155.69, "end": 1156.73, "word": " الإشكاليات", "probability": 0.9544270833333334}, {"start": 1156.73, "end": 1157.01, "word": " بعد", "probability": 0.97119140625}, {"start": 1157.01, "end": 1157.83, "word": " ذلك،", "probability": 0.8580729166666666}, {"start": 1157.83, "end": 1158.21, "word": " جد", "probability": 0.89501953125}, {"start": 1158.21, "end": 1158.39, "word": " ما", "probability": 0.93994140625}, {"start": 1158.39, "end": 1158.85, "word": " تكون", "probability": 0.982177734375}, {"start": 1158.85, "end": 1160.03, "word": " أي", "probability": 0.41455078125}, {"start": 1160.03, "end": 1160.81, "word": " رقم،", "probability": 0.9771728515625}], "temperature": 1.0}, {"id": 52, "seek": 118506, "start": 1160.9, "end": 1185.06, "text": "خلاص النتيجة معروف وبعوض فيها و بنامشيها تمام؟ لا لو جالك السؤال هذا لحاله بدك تعمل هذه و تقول هذه similar بنفس الطريقة اه مش همشي دوري ولكن من وين جبت هذه؟ كويس؟ طيب هذه اللي هو المثال رقم اتنين بدنا نروح للمثال رقم ثلاثة", "tokens": [9778, 1211, 33546, 28239, 31371, 7435, 3660, 20449, 32887, 5172, 46599, 3615, 2407, 11242, 8978, 11296, 4032, 4724, 8315, 2304, 8592, 1829, 11296, 46811, 10943, 22807, 20193, 45164, 10874, 6027, 4117, 21136, 33604, 6027, 23758, 5296, 5016, 6027, 3224, 47525, 4117, 6055, 25957, 1211, 29538, 4032, 6055, 39648, 29538, 2531, 4724, 1863, 36178, 41950, 16572, 28671, 1975, 3224, 37893, 8032, 2304, 8592, 1829, 11778, 13063, 1829, 35525, 19452, 9154, 4032, 9957, 10874, 3555, 2655, 29538, 22807, 9122, 45865, 3794, 22807, 23032, 1829, 3555, 29538, 13672, 1829, 31439, 9673, 12984, 6027, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 47525, 8315, 8717, 32887, 5016, 5296, 19528, 12984, 6027, 12602, 4587, 2304, 38637, 1211, 5718, 104, 3660], "avg_logprob": -0.2073369632596555, "compression_ratio": 1.7623318385650224, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1160.9, "end": 1161.44, "word": "خلاص", "probability": 0.8746744791666666}, {"start": 1161.44, "end": 1161.94, "word": " النتيجة", "probability": 0.90869140625}, {"start": 1161.94, "end": 1162.24, "word": " معروف", "probability": 0.6649983723958334}, {"start": 1162.24, "end": 1162.72, "word": " وبعوض", "probability": 0.7320556640625}, {"start": 1162.72, "end": 1163.26, "word": " فيها", "probability": 0.943603515625}, {"start": 1163.26, "end": 1163.76, "word": " و", "probability": 0.44873046875}, {"start": 1163.76, "end": 1164.46, "word": " بنامشيها", "probability": 0.6994222005208334}, {"start": 1164.46, "end": 1165.22, "word": " تمام؟", "probability": 0.72021484375}, {"start": 1165.22, "end": 1165.94, "word": " لا", "probability": 0.448974609375}, {"start": 1165.94, "end": 1166.26, "word": " لو", "probability": 0.83984375}, {"start": 1166.26, "end": 1166.72, "word": " جالك", "probability": 0.8924153645833334}, {"start": 1166.72, "end": 1167.1, "word": " السؤال", "probability": 0.9918619791666666}, {"start": 1167.1, "end": 1167.34, "word": " هذا", "probability": 0.93359375}, {"start": 1167.34, "end": 1167.92, "word": " لحاله", "probability": 0.9822998046875}, {"start": 1167.92, "end": 1168.76, "word": " بدك", "probability": 0.825927734375}, {"start": 1168.76, "end": 1169.3, "word": " تعمل", "probability": 0.9716796875}, {"start": 1169.3, "end": 1169.62, "word": " هذه", "probability": 0.81640625}, {"start": 1169.62, "end": 1169.74, "word": " و", "probability": 0.62841796875}, {"start": 1169.74, "end": 1170.0, "word": " تقول", "probability": 0.99072265625}, {"start": 1170.0, "end": 1170.24, "word": " هذه", "probability": 0.78271484375}, {"start": 1170.24, "end": 1170.78, "word": " similar", "probability": 0.35400390625}, {"start": 1170.78, "end": 1171.92, "word": " بنفس", "probability": 0.8566080729166666}, {"start": 1171.92, "end": 1172.64, "word": " الطريقة", "probability": 0.9861653645833334}, {"start": 1172.64, "end": 1173.78, "word": " اه", "probability": 0.6033935546875}, {"start": 1173.78, "end": 1174.44, "word": " مش", "probability": 0.9326171875}, {"start": 1174.44, "end": 1174.88, "word": " همشي", "probability": 0.953857421875}, {"start": 1174.88, "end": 1175.18, "word": " دوري", "probability": 0.9220377604166666}, {"start": 1175.18, "end": 1175.46, "word": " ولكن", "probability": 0.74658203125}, {"start": 1175.46, "end": 1175.6, "word": " من", "probability": 0.904296875}, {"start": 1175.6, "end": 1175.82, "word": " وين", "probability": 0.666259765625}, {"start": 1175.82, "end": 1176.18, "word": " جبت", "probability": 0.83056640625}, {"start": 1176.18, "end": 1176.96, "word": " هذه؟", "probability": 0.8134765625}, {"start": 1176.96, "end": 1177.86, "word": " كويس؟", "probability": 0.8197021484375}, {"start": 1177.86, "end": 1178.22, "word": " طيب", "probability": 0.92333984375}, {"start": 1178.22, "end": 1178.7, "word": " هذه", "probability": 0.6640625}, {"start": 1178.7, "end": 1178.92, "word": " اللي", "probability": 0.975341796875}, {"start": 1178.92, "end": 1179.1, "word": " هو", "probability": 0.9658203125}, {"start": 1179.1, "end": 1179.8, "word": " المثال", "probability": 0.9591471354166666}, {"start": 1179.8, "end": 1180.78, "word": " رقم", "probability": 0.9796549479166666}, {"start": 1180.78, "end": 1181.42, "word": " اتنين", "probability": 0.9407958984375}, {"start": 1181.42, "end": 1182.2, "word": " بدنا", "probability": 0.62091064453125}, {"start": 1182.2, "end": 1182.6, "word": " نروح", "probability": 0.98388671875}, {"start": 1182.6, "end": 1183.52, "word": " للمثال", "probability": 0.83746337890625}, {"start": 1183.52, "end": 1184.18, "word": " رقم", "probability": 0.9806315104166666}, {"start": 1184.18, "end": 1185.06, "word": " ثلاثة", "probability": 0.8884765625}], "temperature": 1.0}, {"id": 53, "seek": 121786, "start": 1199.19, "end": 1217.87, "text": "يبقى example three بيقول ليه؟ بدى limit لما ال X tends to zero لمن؟ لل E وال6 زائد ال X كله أسواحب على X الآن هذا بده ساوي", "tokens": [1829, 3555, 4587, 7578, 1365, 1045, 4724, 1829, 39648, 32239, 3224, 22807, 47525, 7578, 4948, 5296, 15042, 2423, 1783, 12258, 281, 4018, 5296, 27842, 22807, 24976, 462, 16070, 21, 30767, 16373, 3215, 2423, 1783, 28242, 3224, 5551, 3794, 14407, 5016, 3555, 15844, 1783, 6024, 48506, 23758, 47525, 3224, 8608, 995, 45865], "avg_logprob": -0.4378004939510272, "compression_ratio": 1.2602739726027397, "no_speech_prob": 0.0, "words": [{"start": 1199.19, "end": 1200.15, "word": "يبقى", "probability": 0.4912872314453125}, {"start": 1200.15, "end": 1200.61, "word": " example", "probability": 0.51171875}, {"start": 1200.61, "end": 1201.27, "word": " three", "probability": 0.383056640625}, {"start": 1201.27, "end": 1203.67, "word": " بيقول", "probability": 0.8450520833333334}, {"start": 1203.67, "end": 1204.05, "word": " ليه؟", "probability": 0.6595865885416666}, {"start": 1204.05, "end": 1204.35, "word": " بدى", "probability": 0.4385986328125}, {"start": 1204.35, "end": 1204.85, "word": " limit", "probability": 0.90625}, {"start": 1204.85, "end": 1206.37, "word": " لما", "probability": 0.903564453125}, {"start": 1206.37, "end": 1206.55, "word": " ال", "probability": 0.88525390625}, {"start": 1206.55, "end": 1206.73, "word": " X", "probability": 0.52001953125}, {"start": 1206.73, "end": 1207.07, "word": " tends", "probability": 0.6455078125}, {"start": 1207.07, "end": 1207.27, "word": " to", "probability": 0.9755859375}, {"start": 1207.27, "end": 1207.85, "word": " zero", "probability": 0.646484375}, {"start": 1207.85, "end": 1209.23, "word": " لمن؟", "probability": 0.7745768229166666}, {"start": 1209.23, "end": 1209.61, "word": " لل", "probability": 0.66748046875}, {"start": 1209.61, "end": 1209.95, "word": " E", "probability": 0.83349609375}, {"start": 1209.95, "end": 1210.79, "word": " وال6", "probability": 0.5379638671875}, {"start": 1210.79, "end": 1211.97, "word": " زائد", "probability": 0.7369791666666666}, {"start": 1211.97, "end": 1212.23, "word": " ال", "probability": 0.47412109375}, {"start": 1212.23, "end": 1212.59, "word": " X", "probability": 0.97802734375}, {"start": 1212.59, "end": 1213.09, "word": " كله", "probability": 0.90234375}, {"start": 1213.09, "end": 1214.07, "word": " أسواحب", "probability": 0.6421875}, {"start": 1214.07, "end": 1214.47, "word": " على", "probability": 0.7890625}, {"start": 1214.47, "end": 1214.81, "word": " X", "probability": 0.986328125}, {"start": 1214.81, "end": 1216.25, "word": " الآن", "probability": 0.62353515625}, {"start": 1216.25, "end": 1216.71, "word": " هذا", "probability": 0.94580078125}, {"start": 1216.71, "end": 1217.23, "word": " بده", "probability": 0.5621337890625}, {"start": 1217.23, "end": 1217.87, "word": " ساوي", "probability": 0.84912109375}], "temperature": 1.0}, {"id": 54, "seek": 125191, "start": 1235.57, "end": 1251.91, "text": "لو جينا عوض مستعود مباشر Zero E of Zero بواحد واحد على صفر ب Infinity يبقى واحد أس Infinity لازمنا في الحالة الأولى يبقى بنا نمشي الخطوات الأربع", "tokens": [1211, 2407, 10874, 1829, 8315, 6225, 2407, 11242, 3714, 14851, 3615, 23328, 3714, 3555, 33599, 2288, 17182, 462, 295, 17182, 4724, 14407, 24401, 36764, 24401, 15844, 20328, 5172, 2288, 4724, 34762, 7251, 3555, 4587, 7578, 36764, 24401, 5551, 3794, 34762, 5296, 31377, 2304, 8315, 8978, 21542, 6027, 3660, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 4724, 8315, 8717, 2304, 8592, 1829, 33962, 9566, 2407, 9307, 16247, 25513, 3615], "avg_logprob": -0.27105978779170825, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 1235.57, "end": 1236.61, "word": "لو", "probability": 0.5621337890625}, {"start": 1236.61, "end": 1236.85, "word": " جينا", "probability": 0.8624674479166666}, {"start": 1236.85, "end": 1237.21, "word": " عوض", "probability": 0.7654622395833334}, {"start": 1237.21, "end": 1237.67, "word": " مستعود", "probability": 0.61444091796875}, {"start": 1237.67, "end": 1238.35, "word": " مباشر", "probability": 0.9832763671875}, {"start": 1238.35, "end": 1239.39, "word": " Zero", "probability": 0.2459716796875}, {"start": 1239.39, "end": 1240.17, "word": " E", "probability": 0.37109375}, {"start": 1240.17, "end": 1240.43, "word": " of", "probability": 0.10174560546875}, {"start": 1240.43, "end": 1240.87, "word": " Zero", "probability": 0.82861328125}, {"start": 1240.87, "end": 1241.83, "word": " بواحد", "probability": 0.9090169270833334}, {"start": 1241.83, "end": 1242.75, "word": " واحد", "probability": 0.788330078125}, {"start": 1242.75, "end": 1243.03, "word": " على", "probability": 0.68017578125}, {"start": 1243.03, "end": 1243.75, "word": " صفر", "probability": 0.813232421875}, {"start": 1243.75, "end": 1244.31, "word": " ب", "probability": 0.8056640625}, {"start": 1244.31, "end": 1244.97, "word": " Infinity", "probability": 0.54931640625}, {"start": 1244.97, "end": 1245.31, "word": " يبقى", "probability": 0.908935546875}, {"start": 1245.31, "end": 1245.81, "word": " واحد", "probability": 0.987060546875}, {"start": 1245.81, "end": 1246.11, "word": " أس", "probability": 0.44696044921875}, {"start": 1246.11, "end": 1246.61, "word": " Infinity", "probability": 0.953125}, {"start": 1246.61, "end": 1247.25, "word": " لازمنا", "probability": 0.9051513671875}, {"start": 1247.25, "end": 1247.39, "word": " في", "probability": 0.91015625}, {"start": 1247.39, "end": 1247.97, "word": " الحالة", "probability": 0.9856770833333334}, {"start": 1247.97, "end": 1248.47, "word": " الأولى", "probability": 0.9806315104166666}, {"start": 1248.47, "end": 1249.01, "word": " يبقى", "probability": 0.959228515625}, {"start": 1249.01, "end": 1249.25, "word": " بنا", "probability": 0.54052734375}, {"start": 1249.25, "end": 1249.51, "word": " نمشي", "probability": 0.9805908203125}, {"start": 1249.51, "end": 1250.49, "word": " الخطوات", "probability": 0.8236083984375}, {"start": 1250.49, "end": 1251.91, "word": " الأربع", "probability": 0.9318033854166666}], "temperature": 1.0}, {"id": 55, "seek": 127020, "start": 1252.26, "end": 1270.2, "text": "يبقى بالدرجة قول له let f of x بدي يساوي e وال6 زائد x كله الواحد على x خد لي لن الطرفين يبقى لن ال f of x بدي يساوي واحد على x لن ال e وال6 زائد x", "tokens": [1829, 3555, 4587, 7578, 20666, 3215, 47341, 3660, 12174, 12610, 46740, 718, 283, 295, 2031, 4724, 16254, 7251, 3794, 995, 45865, 308, 16070, 21, 30767, 16373, 3215, 2031, 28242, 3224, 2423, 14407, 24401, 15844, 2031, 16490, 3215, 32239, 5296, 1863, 41950, 28480, 9957, 7251, 3555, 4587, 7578, 5296, 1863, 2423, 283, 295, 2031, 4724, 16254, 7251, 3794, 995, 45865, 36764, 24401, 15844, 2031, 5296, 1863, 2423, 308, 16070, 21, 30767, 16373, 3215, 2031], "avg_logprob": -0.3327702650347272, "compression_ratio": 1.7954545454545454, "no_speech_prob": 0.0, "words": [{"start": 1252.26, "end": 1252.76, "word": "يبقى", "probability": 0.71771240234375}, {"start": 1252.76, "end": 1253.34, "word": " بالدرجة", "probability": 0.71575927734375}, {"start": 1253.34, "end": 1253.64, "word": " قول", "probability": 0.4761962890625}, {"start": 1253.64, "end": 1253.78, "word": " له", "probability": 0.44482421875}, {"start": 1253.78, "end": 1254.08, "word": " let", "probability": 0.275634765625}, {"start": 1254.08, "end": 1254.64, "word": " f", "probability": 0.568359375}, {"start": 1254.64, "end": 1255.08, "word": " of", "probability": 0.19873046875}, {"start": 1255.08, "end": 1255.54, "word": " x", "probability": 0.9638671875}, {"start": 1255.54, "end": 1256.2, "word": " بدي", "probability": 0.328033447265625}, {"start": 1256.2, "end": 1256.66, "word": " يساوي", "probability": 0.68243408203125}, {"start": 1256.66, "end": 1257.0, "word": " e", "probability": 0.41015625}, {"start": 1257.0, "end": 1257.58, "word": " وال6", "probability": 0.482666015625}, {"start": 1257.58, "end": 1258.12, "word": " زائد", "probability": 0.8761393229166666}, {"start": 1258.12, "end": 1258.42, "word": " x", "probability": 0.982421875}, {"start": 1258.42, "end": 1258.84, "word": " كله", "probability": 0.967529296875}, {"start": 1258.84, "end": 1259.38, "word": " الواحد", "probability": 0.5370279947916666}, {"start": 1259.38, "end": 1259.62, "word": " على", "probability": 0.72998046875}, {"start": 1259.62, "end": 1259.92, "word": " x", "probability": 0.7958984375}, {"start": 1259.92, "end": 1260.72, "word": " خد", "probability": 0.69189453125}, {"start": 1260.72, "end": 1260.92, "word": " لي", "probability": 0.2137451171875}, {"start": 1260.92, "end": 1261.24, "word": " لن", "probability": 0.600341796875}, {"start": 1261.24, "end": 1262.3, "word": " الطرفين", "probability": 0.779541015625}, {"start": 1262.3, "end": 1263.3, "word": " يبقى", "probability": 0.9554443359375}, {"start": 1263.3, "end": 1263.64, "word": " لن", "probability": 0.85986328125}, {"start": 1263.64, "end": 1263.84, "word": " ال", "probability": 0.7607421875}, {"start": 1263.84, "end": 1264.2, "word": " f", "probability": 0.66015625}, {"start": 1264.2, "end": 1264.58, "word": " of", "probability": 0.96533203125}, {"start": 1264.58, "end": 1265.04, "word": " x", "probability": 0.994140625}, {"start": 1265.04, "end": 1265.6, "word": " بدي", "probability": 0.94677734375}, {"start": 1265.6, "end": 1266.14, "word": " يساوي", "probability": 0.9716796875}, {"start": 1266.14, "end": 1266.74, "word": " واحد", "probability": 0.90771484375}, {"start": 1266.74, "end": 1267.04, "word": " على", "probability": 0.84765625}, {"start": 1267.04, "end": 1267.46, "word": " x", "probability": 0.9677734375}, {"start": 1267.46, "end": 1268.04, "word": " لن", "probability": 0.939453125}, {"start": 1268.04, "end": 1268.22, "word": " ال", "probability": 0.88671875}, {"start": 1268.22, "end": 1268.52, "word": " e", "probability": 0.72216796875}, {"start": 1268.52, "end": 1269.16, "word": " وال6", "probability": 0.963134765625}, {"start": 1269.16, "end": 1269.98, "word": " زائد", "probability": 0.9267578125}, {"start": 1269.98, "end": 1270.2, "word": " x", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 56, "seek": 129636, "start": 1270.67, "end": 1296.37, "text": "خد ال limit اللي هي الخطوة التالتة limit لما ال x بده يروح لل zero لما ال x بدها تروح لل zero لمن لإن ال f of x بده يسوي limit لما ال x بدها تروح لل zero لواحد على x لإن ال EO6 زائد X", "tokens": [9778, 3215, 2423, 4948, 13672, 1829, 39896, 33962, 9566, 2407, 3660, 16712, 6027, 2655, 3660, 4948, 5296, 15042, 2423, 2031, 47525, 3224, 7251, 32887, 5016, 24976, 4018, 5296, 15042, 2423, 2031, 47525, 11296, 6055, 32887, 5016, 24976, 4018, 5296, 27842, 5296, 28814, 1863, 2423, 283, 295, 2031, 47525, 3224, 7251, 3794, 45865, 4948, 5296, 15042, 2423, 2031, 47525, 11296, 6055, 32887, 5016, 24976, 4018, 5296, 14407, 24401, 15844, 2031, 5296, 28814, 1863, 2423, 462, 46, 21, 30767, 16373, 3215, 1783], "avg_logprob": -0.253858036465115, "compression_ratio": 1.9448275862068964, "no_speech_prob": 0.0, "words": [{"start": 1270.67, "end": 1271.11, "word": "خد", "probability": 0.572998046875}, {"start": 1271.11, "end": 1271.27, "word": " ال", "probability": 0.48095703125}, {"start": 1271.27, "end": 1271.57, "word": " limit", "probability": 0.8369140625}, {"start": 1271.57, "end": 1271.77, "word": " اللي", "probability": 0.58935546875}, {"start": 1271.77, "end": 1271.89, "word": " هي", "probability": 0.8349609375}, {"start": 1271.89, "end": 1272.51, "word": " الخطوة", "probability": 0.9169921875}, {"start": 1272.51, "end": 1273.49, "word": " التالتة", "probability": 0.9176025390625}, {"start": 1273.49, "end": 1274.27, "word": " limit", "probability": 0.81787109375}, {"start": 1274.27, "end": 1274.73, "word": " لما", "probability": 0.916259765625}, {"start": 1274.73, "end": 1274.95, "word": " ال", "probability": 0.89990234375}, {"start": 1274.95, "end": 1275.27, "word": " x", "probability": 0.52880859375}, {"start": 1275.27, "end": 1275.69, "word": " بده", "probability": 0.678955078125}, {"start": 1275.69, "end": 1276.31, "word": " يروح", "probability": 0.9500325520833334}, {"start": 1276.31, "end": 1276.71, "word": " لل", "probability": 0.73681640625}, {"start": 1276.71, "end": 1277.25, "word": " zero", "probability": 0.515625}, {"start": 1277.25, "end": 1279.01, "word": " لما", "probability": 0.6207275390625}, {"start": 1279.01, "end": 1279.19, "word": " ال", "probability": 0.94189453125}, {"start": 1279.19, "end": 1279.57, "word": " x", "probability": 0.97705078125}, {"start": 1279.57, "end": 1280.03, "word": " بدها", "probability": 0.882080078125}, {"start": 1280.03, "end": 1280.69, "word": " تروح", "probability": 0.9861653645833334}, {"start": 1280.69, "end": 1281.31, "word": " لل", "probability": 0.85595703125}, {"start": 1281.31, "end": 1281.85, "word": " zero", "probability": 0.7548828125}, {"start": 1281.85, "end": 1282.79, "word": " لمن", "probability": 0.7060546875}, {"start": 1282.79, "end": 1283.91, "word": " لإن", "probability": 0.6110026041666666}, {"start": 1283.91, "end": 1284.17, "word": " ال", "probability": 0.7861328125}, {"start": 1284.17, "end": 1284.57, "word": " f", "probability": 0.66796875}, {"start": 1284.57, "end": 1284.97, "word": " of", "probability": 0.66162109375}, {"start": 1284.97, "end": 1285.49, "word": " x", "probability": 0.9853515625}, {"start": 1285.49, "end": 1286.21, "word": " بده", "probability": 0.855712890625}, {"start": 1286.21, "end": 1286.59, "word": " يسوي", "probability": 0.7884928385416666}, {"start": 1286.59, "end": 1287.31, "word": " limit", "probability": 0.485107421875}, {"start": 1287.31, "end": 1288.05, "word": " لما", "probability": 0.97705078125}, {"start": 1288.05, "end": 1288.23, "word": " ال", "probability": 0.953125}, {"start": 1288.23, "end": 1288.59, "word": " x", "probability": 0.9853515625}, {"start": 1288.59, "end": 1288.99, "word": " بدها", "probability": 0.919677734375}, {"start": 1288.99, "end": 1289.39, "word": " تروح", "probability": 0.9938151041666666}, {"start": 1289.39, "end": 1289.67, "word": " لل", "probability": 0.88427734375}, {"start": 1289.67, "end": 1290.17, "word": " zero", "probability": 0.833984375}, {"start": 1290.17, "end": 1291.37, "word": " لواحد", "probability": 0.7413736979166666}, {"start": 1291.37, "end": 1291.77, "word": " على", "probability": 0.66357421875}, {"start": 1291.77, "end": 1292.31, "word": " x", "probability": 0.9384765625}, {"start": 1292.31, "end": 1293.51, "word": " لإن", "probability": 0.8668619791666666}, {"start": 1293.51, "end": 1293.85, "word": " ال", "probability": 0.89111328125}, {"start": 1293.85, "end": 1294.91, "word": " EO6", "probability": 0.5500081380208334}, {"start": 1294.91, "end": 1295.99, "word": " زائد", "probability": 0.7344563802083334}, {"start": 1295.99, "end": 1296.37, "word": " X", "probability": 0.59228515625}], "temperature": 1.0}, {"id": 57, "seek": 131033, "start": 1297.15, "end": 1310.33, "text": "لو جينا عوضنا تعويض مباشر بصيل واحد على الصفر infinity Zero E of Zero بواحد لإن الواحد جداش ب Zero", "tokens": [1211, 2407, 10874, 1829, 8315, 6225, 2407, 11242, 8315, 37279, 45865, 11242, 3714, 3555, 33599, 2288, 4724, 9381, 26895, 36764, 24401, 15844, 31767, 5172, 2288, 13202, 17182, 462, 295, 17182, 4724, 14407, 24401, 5296, 28814, 1863, 2423, 14407, 24401, 10874, 3215, 33599, 4724, 17182], "avg_logprob": -0.3057291719648573, "compression_ratio": 1.305084745762712, "no_speech_prob": 0.0, "words": [{"start": 1297.15, "end": 1297.51, "word": "لو", "probability": 0.6826171875}, {"start": 1297.51, "end": 1297.79, "word": " جينا", "probability": 0.7330729166666666}, {"start": 1297.79, "end": 1298.23, "word": " عوضنا", "probability": 0.8638916015625}, {"start": 1298.23, "end": 1298.67, "word": " تعويض", "probability": 0.73095703125}, {"start": 1298.67, "end": 1299.11, "word": " مباشر", "probability": 0.9591064453125}, {"start": 1299.11, "end": 1299.49, "word": " بصيل", "probability": 0.65966796875}, {"start": 1299.49, "end": 1299.87, "word": " واحد", "probability": 0.871826171875}, {"start": 1299.87, "end": 1300.11, "word": " على", "probability": 0.8515625}, {"start": 1300.11, "end": 1300.85, "word": " الصفر", "probability": 0.81689453125}, {"start": 1300.85, "end": 1302.81, "word": " infinity", "probability": 0.60595703125}, {"start": 1302.81, "end": 1304.13, "word": " Zero", "probability": 0.2178955078125}, {"start": 1304.13, "end": 1304.77, "word": " E", "probability": 0.38623046875}, {"start": 1304.77, "end": 1305.15, "word": " of", "probability": 0.48046875}, {"start": 1305.15, "end": 1305.57, "word": " Zero", "probability": 0.6640625}, {"start": 1305.57, "end": 1306.31, "word": " بواحد", "probability": 0.9454752604166666}, {"start": 1306.31, "end": 1306.93, "word": " لإن", "probability": 0.8406575520833334}, {"start": 1306.93, "end": 1307.63, "word": " الواحد", "probability": 0.9606119791666666}, {"start": 1307.63, "end": 1309.17, "word": " جداش", "probability": 0.7291666666666666}, {"start": 1309.17, "end": 1309.83, "word": " ب", "probability": 0.63671875}, {"start": 1309.83, "end": 1310.33, "word": " Zero", "probability": 0.52001953125}], "temperature": 1.0}, {"id": 58, "seek": 133247, "start": 1312.07, "end": 1332.47, "text": "بتفتح المثلة بطريقة رياضية صحيحة بحيث فعلا تحولها صفر على صفر أو مالة نهاية على مالة نهاية يبقى limit لما ال X بده تروح ل zero هي جازة بس فاتة هناك كويس يعني لن EO6 زائد X على X", "tokens": [3555, 2655, 5172, 2655, 5016, 9673, 12984, 37977, 4724, 9566, 16572, 28671, 12602, 1829, 46958, 10632, 20328, 5016, 1829, 5016, 3660, 4724, 5016, 1829, 12984, 6156, 3615, 15040, 6055, 5016, 12610, 11296, 20328, 5172, 2288, 15844, 20328, 5172, 2288, 34051, 3714, 6027, 3660, 8717, 11296, 10632, 15844, 3714, 6027, 3660, 8717, 11296, 10632, 7251, 3555, 4587, 7578, 4948, 5296, 15042, 2423, 1783, 47525, 3224, 6055, 32887, 5016, 5296, 4018, 39896, 10874, 31377, 3660, 4724, 3794, 6156, 9307, 3660, 34105, 4117, 9122, 45865, 3794, 37495, 22653, 5296, 1863, 462, 46, 21, 30767, 16373, 3215, 1783, 15844, 1783], "avg_logprob": -0.37435567993478674, "compression_ratio": 1.5925925925925926, "no_speech_prob": 0.0, "words": [{"start": 1312.07, "end": 1313.07, "word": "بتفتح", "probability": 0.4256591796875}, {"start": 1313.07, "end": 1313.83, "word": " المثلة", "probability": 0.5557861328125}, {"start": 1313.83, "end": 1314.51, "word": " بطريقة", "probability": 0.77923583984375}, {"start": 1314.51, "end": 1315.05, "word": " رياضية", "probability": 0.960205078125}, {"start": 1315.05, "end": 1315.91, "word": " صحيحة", "probability": 0.86865234375}, {"start": 1315.91, "end": 1316.47, "word": " بحيث", "probability": 0.574981689453125}, {"start": 1316.47, "end": 1316.75, "word": " فعلا", "probability": 0.6064453125}, {"start": 1316.75, "end": 1317.33, "word": " تحولها", "probability": 0.784912109375}, {"start": 1317.33, "end": 1317.67, "word": " صفر", "probability": 0.788330078125}, {"start": 1317.67, "end": 1317.83, "word": " على", "probability": 0.826171875}, {"start": 1317.83, "end": 1318.33, "word": " صفر", "probability": 0.99072265625}, {"start": 1318.33, "end": 1318.69, "word": " أو", "probability": 0.55322265625}, {"start": 1318.69, "end": 1319.65, "word": " مالة", "probability": 0.543701171875}, {"start": 1319.65, "end": 1320.07, "word": " نهاية", "probability": 0.8880208333333334}, {"start": 1320.07, "end": 1320.29, "word": " على", "probability": 0.7802734375}, {"start": 1320.29, "end": 1320.75, "word": " مالة", "probability": 0.966796875}, {"start": 1320.75, "end": 1321.33, "word": " نهاية", "probability": 0.9051106770833334}, {"start": 1321.33, "end": 1322.31, "word": " يبقى", "probability": 0.9036865234375}, {"start": 1322.31, "end": 1322.87, "word": " limit", "probability": 0.81103515625}, {"start": 1322.87, "end": 1323.59, "word": " لما", "probability": 0.78076171875}, {"start": 1323.59, "end": 1323.75, "word": " ال", "probability": 0.7861328125}, {"start": 1323.75, "end": 1324.03, "word": " X", "probability": 0.5341796875}, {"start": 1324.03, "end": 1324.35, "word": " بده", "probability": 0.4671630859375}, {"start": 1324.35, "end": 1324.67, "word": " تروح", "probability": 0.8430989583333334}, {"start": 1324.67, "end": 1324.81, "word": " ل", "probability": 0.79931640625}, {"start": 1324.81, "end": 1325.19, "word": " zero", "probability": 0.2110595703125}, {"start": 1325.19, "end": 1325.75, "word": " هي", "probability": 0.56201171875}, {"start": 1325.75, "end": 1326.31, "word": " جازة", "probability": 0.8163248697916666}, {"start": 1326.31, "end": 1326.51, "word": " بس", "probability": 0.717041015625}, {"start": 1326.51, "end": 1326.83, "word": " فاتة", "probability": 0.6184895833333334}, {"start": 1326.83, "end": 1327.19, "word": " هناك", "probability": 0.823486328125}, {"start": 1327.19, "end": 1327.77, "word": " كويس", "probability": 0.96142578125}, {"start": 1327.77, "end": 1328.73, "word": " يعني", "probability": 0.831298828125}, {"start": 1328.73, "end": 1329.47, "word": " لن", "probability": 0.2584228515625}, {"start": 1329.47, "end": 1330.63, "word": " EO6", "probability": 0.6728515625}, {"start": 1330.63, "end": 1331.35, "word": " زائد", "probability": 0.7833658854166666}, {"start": 1331.35, "end": 1331.81, "word": " X", "probability": 0.95703125}, {"start": 1331.81, "end": 1332.11, "word": " على", "probability": 0.6015625}, {"start": 1332.11, "end": 1332.47, "word": " X", "probability": 0.990234375}], "temperature": 1.0}, {"id": 59, "seek": 134851, "start": 1335.89, "end": 1348.51, "text": "سنقوم باستخدام قاعدة Lobital يبقى هذا الكلام يستوي ال limit لما ال X يذهب الى 0 مشتاقة ال bus واحد", "tokens": [3794, 1863, 4587, 20498, 4724, 995, 14851, 9778, 3215, 10943, 12174, 995, 22488, 3660, 30719, 1686, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 14851, 45865, 2423, 4948, 5296, 15042, 2423, 1783, 7251, 24192, 3555, 2423, 7578, 1958, 3714, 8592, 2655, 995, 28671, 2423, 1255, 36764, 24401], "avg_logprob": -0.6463648153811085, "compression_ratio": 1.2598425196850394, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1335.8900000000003, "end": 1337.0100000000002, "word": "سنقوم", "probability": 0.324798583984375}, {"start": 1337.0100000000002, "end": 1338.13, "word": " باستخدام", "probability": 0.8050537109375}, {"start": 1338.13, "end": 1339.69, "word": " قاعدة", "probability": 0.709716796875}, {"start": 1339.69, "end": 1340.43, "word": " Lobital", "probability": 0.59912109375}, {"start": 1340.43, "end": 1341.31, "word": " يبقى", "probability": 0.708160400390625}, {"start": 1341.31, "end": 1341.51, "word": " هذا", "probability": 0.73974609375}, {"start": 1341.51, "end": 1341.95, "word": " الكلام", "probability": 0.8658854166666666}, {"start": 1341.95, "end": 1342.69, "word": " يستوي", "probability": 0.395751953125}, {"start": 1342.69, "end": 1342.83, "word": " ال", "probability": 0.485595703125}, {"start": 1342.83, "end": 1343.23, "word": " limit", "probability": 0.60986328125}, {"start": 1343.23, "end": 1343.91, "word": " لما", "probability": 0.6934814453125}, {"start": 1343.91, "end": 1344.07, "word": " ال", "probability": 0.4384765625}, {"start": 1344.07, "end": 1344.37, "word": " X", "probability": 0.501953125}, {"start": 1344.37, "end": 1345.05, "word": " يذهب", "probability": 0.6797688802083334}, {"start": 1345.05, "end": 1345.41, "word": " الى", "probability": 0.60546875}, {"start": 1345.41, "end": 1345.73, "word": " 0", "probability": 0.202392578125}, {"start": 1345.73, "end": 1346.95, "word": " مشتاقة", "probability": 0.672607421875}, {"start": 1346.95, "end": 1347.19, "word": " ال", "probability": 0.71533203125}, {"start": 1347.19, "end": 1347.47, "word": " bus", "probability": 0.38330078125}, {"start": 1347.47, "end": 1348.51, "word": " واحد", "probability": 0.6219482421875}], "temperature": 1.0}, {"id": 60, "seek": 137632, "start": 1348.7, "end": 1376.32, "text": "على EOSX زائد X في مشتقة مداخل الـ LEN له EOSX زائد 1 كله على مشتقة المقام له بواحد صحيح يبقى قالة الى limit لما ال X بدي روح ل 0 لل EOSX زائد 1 على EOSX زائد X نجي نعوض طاولة مباشرة و نشوف جدش تعطينا", "tokens": [3615, 23942, 462, 4367, 55, 30767, 16373, 3215, 1783, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 2423, 39184, 441, 2195, 46740, 462, 4367, 55, 30767, 16373, 3215, 502, 28242, 3224, 15844, 37893, 2655, 28671, 9673, 4587, 10943, 46740, 4724, 14407, 24401, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 12174, 6027, 3660, 2423, 7578, 4948, 5296, 15042, 2423, 1783, 4724, 16254, 12602, 2407, 5016, 5296, 1958, 24976, 462, 4367, 55, 30767, 16373, 3215, 502, 15844, 462, 4367, 55, 30767, 16373, 3215, 1783, 8717, 7435, 1829, 8717, 3615, 2407, 11242, 23032, 995, 12610, 3660, 3714, 3555, 33599, 25720, 4032, 8717, 8592, 38688, 10874, 3215, 8592, 37279, 9566, 1829, 8315], "avg_logprob": -0.2928977223959836, "compression_ratio": 1.6701030927835052, "no_speech_prob": 0.0, "words": [{"start": 1348.7, "end": 1349.5, "word": "على", "probability": 0.7003173828125}, {"start": 1349.5, "end": 1350.74, "word": " EOSX", "probability": 0.4101155598958333}, {"start": 1350.74, "end": 1351.72, "word": " زائد", "probability": 0.72900390625}, {"start": 1351.72, "end": 1352.08, "word": " X", "probability": 0.98193359375}, {"start": 1352.08, "end": 1352.6, "word": " في", "probability": 0.671875}, {"start": 1352.6, "end": 1353.38, "word": " مشتقة", "probability": 0.8860677083333334}, {"start": 1353.38, "end": 1354.34, "word": " مداخل", "probability": 0.79071044921875}, {"start": 1354.34, "end": 1354.76, "word": " الـ", "probability": 0.5728759765625}, {"start": 1354.76, "end": 1355.18, "word": " LEN", "probability": 0.495361328125}, {"start": 1355.18, "end": 1355.78, "word": " له", "probability": 0.1300048828125}, {"start": 1355.78, "end": 1356.96, "word": " EOSX", "probability": 0.9503580729166666}, {"start": 1356.96, "end": 1357.96, "word": " زائد", "probability": 0.896484375}, {"start": 1357.96, "end": 1358.4, "word": " 1", "probability": 0.61376953125}, {"start": 1358.4, "end": 1359.3, "word": " كله", "probability": 0.842041015625}, {"start": 1359.3, "end": 1359.52, "word": " على", "probability": 0.86669921875}, {"start": 1359.52, "end": 1360.22, "word": " مشتقة", "probability": 0.9832356770833334}, {"start": 1360.22, "end": 1361.06, "word": " المقام", "probability": 0.9840494791666666}, {"start": 1361.06, "end": 1361.5, "word": " له", "probability": 0.72119140625}, {"start": 1361.5, "end": 1361.94, "word": " بواحد", "probability": 0.794921875}, {"start": 1361.94, "end": 1362.46, "word": " صحيح", "probability": 0.9434814453125}, {"start": 1362.46, "end": 1363.48, "word": " يبقى", "probability": 0.95849609375}, {"start": 1363.48, "end": 1364.0, "word": " قالة", "probability": 0.6338704427083334}, {"start": 1364.0, "end": 1364.36, "word": " الى", "probability": 0.670166015625}, {"start": 1364.36, "end": 1364.86, "word": " limit", "probability": 0.65478515625}, {"start": 1364.86, "end": 1365.26, "word": " لما", "probability": 0.88525390625}, {"start": 1365.26, "end": 1365.42, "word": " ال", "probability": 0.8349609375}, {"start": 1365.42, "end": 1365.64, "word": " X", "probability": 0.744140625}, {"start": 1365.64, "end": 1365.96, "word": " بدي", "probability": 0.545654296875}, {"start": 1365.96, "end": 1366.24, "word": " روح", "probability": 0.7701009114583334}, {"start": 1366.24, "end": 1366.42, "word": " ل", "probability": 0.4619140625}, {"start": 1366.42, "end": 1366.88, "word": " 0", "probability": 0.2039794921875}, {"start": 1366.88, "end": 1367.64, "word": " لل", "probability": 0.7685546875}, {"start": 1367.64, "end": 1368.58, "word": " EOSX", "probability": 0.9337565104166666}, {"start": 1368.58, "end": 1369.06, "word": " زائد", "probability": 0.7923177083333334}, {"start": 1369.06, "end": 1369.6, "word": " 1", "probability": 0.931640625}, {"start": 1369.6, "end": 1370.24, "word": " على", "probability": 0.68115234375}, {"start": 1370.24, "end": 1371.2, "word": " EOSX", "probability": 0.9767252604166666}, {"start": 1371.2, "end": 1372.08, "word": " زائد", "probability": 0.9671223958333334}, {"start": 1372.08, "end": 1372.6, "word": " X", "probability": 0.8232421875}, {"start": 1372.6, "end": 1373.7, "word": " نجي", "probability": 0.5931803385416666}, {"start": 1373.7, "end": 1374.14, "word": " نعوض", "probability": 0.80810546875}, {"start": 1374.14, "end": 1374.54, "word": " طاولة", "probability": 0.71197509765625}, {"start": 1374.54, "end": 1374.92, "word": " مباشرة", "probability": 0.962158203125}, {"start": 1374.92, "end": 1375.04, "word": " و", "probability": 0.95654296875}, {"start": 1375.04, "end": 1375.28, "word": " نشوف", "probability": 0.9075520833333334}, {"start": 1375.28, "end": 1375.72, "word": " جدش", "probability": 0.5064290364583334}, {"start": 1375.72, "end": 1376.32, "word": " تعطينا", "probability": 0.8731689453125}], "temperature": 1.0}, {"id": 61, "seek": 139003, "start": 1376.95, "end": 1390.03, "text": "E of 0 ب 1 يبقى بصير عن هنا 1 زائد 1 E of 0 ب 1 زائد 0 يبقى 1 زائد 0 يبقى النتيجة جداش", "tokens": [36, 295, 1958, 4724, 502, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 18871, 34105, 502, 30767, 16373, 3215, 502, 462, 295, 1958, 4724, 502, 30767, 16373, 3215, 1958, 7251, 3555, 4587, 7578, 502, 30767, 16373, 3215, 1958, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 10874, 3215, 33599], "avg_logprob": -0.36543367346938777, "compression_ratio": 1.4505494505494505, "no_speech_prob": 0.0, "words": [{"start": 1376.95, "end": 1377.43, "word": "E", "probability": 0.085205078125}, {"start": 1377.43, "end": 1377.79, "word": " of", "probability": 0.2049560546875}, {"start": 1377.79, "end": 1378.17, "word": " 0", "probability": 0.459716796875}, {"start": 1378.17, "end": 1378.39, "word": " ب", "probability": 0.8173828125}, {"start": 1378.39, "end": 1378.87, "word": " 1", "probability": 0.459228515625}, {"start": 1378.87, "end": 1379.31, "word": " يبقى", "probability": 0.8095703125}, {"start": 1379.31, "end": 1379.77, "word": " بصير", "probability": 0.6160888671875}, {"start": 1379.77, "end": 1380.03, "word": " عن", "probability": 0.2099609375}, {"start": 1380.03, "end": 1380.35, "word": " هنا", "probability": 0.50146484375}, {"start": 1380.35, "end": 1380.93, "word": " 1", "probability": 0.489501953125}, {"start": 1380.93, "end": 1381.63, "word": " زائد", "probability": 0.6221516927083334}, {"start": 1381.63, "end": 1382.01, "word": " 1", "probability": 0.912109375}, {"start": 1382.01, "end": 1383.13, "word": " E", "probability": 0.83984375}, {"start": 1383.13, "end": 1383.55, "word": " of", "probability": 0.94482421875}, {"start": 1383.55, "end": 1384.07, "word": " 0", "probability": 0.8935546875}, {"start": 1384.07, "end": 1384.27, "word": " ب", "probability": 0.962890625}, {"start": 1384.27, "end": 1384.69, "word": " 1", "probability": 0.77392578125}, {"start": 1384.69, "end": 1385.43, "word": " زائد", "probability": 0.96044921875}, {"start": 1385.43, "end": 1385.87, "word": " 0", "probability": 0.802734375}, {"start": 1385.87, "end": 1386.35, "word": " يبقى", "probability": 0.9814453125}, {"start": 1386.35, "end": 1386.77, "word": " 1", "probability": 0.93310546875}, {"start": 1386.77, "end": 1388.09, "word": " زائد", "probability": 0.94580078125}, {"start": 1388.09, "end": 1388.45, "word": " 0", "probability": 0.9345703125}, {"start": 1388.45, "end": 1388.75, "word": " يبقى", "probability": 0.9566650390625}, {"start": 1388.75, "end": 1389.25, "word": " النتيجة", "probability": 0.9130859375}, {"start": 1389.25, "end": 1390.03, "word": " جداش", "probability": 0.6006673177083334}], "temperature": 1.0}, {"id": 62, "seek": 141093, "start": 1391.65, "end": 1410.93, "text": "لغاية هنا كم خطوة عملنا؟ تلاتة. ضايل علينا خطوة رابعة. دي لبالك. هذه نفسيه تبقى قصم عليها علامة. إذا السؤال عليه أربعة درجات ولا خمسة، بنطير عليه علامة. يبقى ضروري إياك ثم إياك أن تنساه. يبقى بصير عنه limit", "tokens": [1211, 17082, 995, 10632, 34105, 9122, 2304, 16490, 9566, 2407, 3660, 6225, 42213, 8315, 22807, 6055, 1211, 9307, 3660, 13, 48812, 995, 26895, 25894, 8315, 16490, 9566, 2407, 3660, 12602, 16758, 27884, 13, 11778, 1829, 5296, 3555, 6027, 4117, 13, 29538, 8717, 36178, 1829, 3224, 6055, 3555, 4587, 7578, 12174, 9381, 2304, 25894, 11296, 11203, 10943, 3660, 13, 11933, 15730, 21136, 33604, 6027, 47356, 5551, 25513, 27884, 11778, 47341, 9307, 49429, 16490, 2304, 3794, 3660, 12399, 44945, 9566, 13546, 47356, 11203, 10943, 3660, 13, 7251, 3555, 4587, 7578, 48812, 2288, 13063, 1829, 11933, 25528, 4117, 38637, 2304, 11933, 25528, 4117, 14739, 6055, 1863, 3794, 40294, 13, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 18871, 3224, 4948], "avg_logprob": -0.23450854446133998, "compression_ratio": 1.7285714285714286, "no_speech_prob": 0.0, "words": [{"start": 1391.65, "end": 1392.29, "word": "لغاية", "probability": 0.85284423828125}, {"start": 1392.29, "end": 1392.53, "word": " هنا", "probability": 0.90283203125}, {"start": 1392.53, "end": 1392.77, "word": " كم", "probability": 0.730712890625}, {"start": 1392.77, "end": 1393.15, "word": " خطوة", "probability": 0.9888916015625}, {"start": 1393.15, "end": 1393.99, "word": " عملنا؟", "probability": 0.87939453125}, {"start": 1393.99, "end": 1395.01, "word": " تلاتة.", "probability": 0.903564453125}, {"start": 1395.05, "end": 1395.31, "word": " ضايل", "probability": 0.6304524739583334}, {"start": 1395.31, "end": 1395.61, "word": " علينا", "probability": 0.68505859375}, {"start": 1395.61, "end": 1396.25, "word": " خطوة", "probability": 0.987060546875}, {"start": 1396.25, "end": 1397.23, "word": " رابعة.", "probability": 0.627685546875}, {"start": 1397.31, "end": 1397.41, "word": " دي", "probability": 0.73583984375}, {"start": 1397.41, "end": 1398.11, "word": " لبالك.", "probability": 0.9136962890625}, {"start": 1398.23, "end": 1398.55, "word": " هذه", "probability": 0.74609375}, {"start": 1398.55, "end": 1399.05, "word": " نفسيه", "probability": 0.59259033203125}, {"start": 1399.05, "end": 1399.25, "word": " تبقى", "probability": 0.8057861328125}, {"start": 1399.25, "end": 1399.53, "word": " قصم", "probability": 0.608642578125}, {"start": 1399.53, "end": 1399.93, "word": " عليها", "probability": 0.964111328125}, {"start": 1399.93, "end": 1400.87, "word": " علامة.", "probability": 0.986328125}, {"start": 1401.19, "end": 1401.39, "word": " إذا", "probability": 0.829345703125}, {"start": 1401.39, "end": 1401.71, "word": " السؤال", "probability": 0.8585611979166666}, {"start": 1401.71, "end": 1401.95, "word": " عليه", "probability": 0.75390625}, {"start": 1401.95, "end": 1402.27, "word": " أربعة", "probability": 0.7574869791666666}, {"start": 1402.27, "end": 1402.73, "word": " درجات", "probability": 0.9930013020833334}, {"start": 1402.73, "end": 1402.93, "word": " ولا", "probability": 0.6552734375}, {"start": 1402.93, "end": 1403.43, "word": " خمسة،", "probability": 0.8865234375}, {"start": 1403.43, "end": 1403.83, "word": " بنطير", "probability": 0.6996663411458334}, {"start": 1403.83, "end": 1404.13, "word": " عليه", "probability": 0.57470703125}, {"start": 1404.13, "end": 1404.63, "word": " علامة.", "probability": 0.9928385416666666}, {"start": 1405.05, "end": 1405.41, "word": " يبقى", "probability": 0.9566650390625}, {"start": 1405.41, "end": 1405.93, "word": " ضروري", "probability": 0.9730224609375}, {"start": 1405.93, "end": 1406.49, "word": " إياك", "probability": 0.9646809895833334}, {"start": 1406.49, "end": 1406.93, "word": " ثم", "probability": 0.9609375}, {"start": 1406.93, "end": 1407.45, "word": " إياك", "probability": 0.9923502604166666}, {"start": 1407.45, "end": 1407.69, "word": " أن", "probability": 0.966796875}, {"start": 1407.69, "end": 1408.31, "word": " تنساه.", "probability": 0.8741455078125}, {"start": 1408.57, "end": 1409.25, "word": " يبقى", "probability": 0.9720458984375}, {"start": 1409.25, "end": 1409.61, "word": " بصير", "probability": 0.7351888020833334}, {"start": 1409.61, "end": 1410.13, "word": " عنه", "probability": 0.3489990234375}, {"start": 1410.13, "end": 1410.93, "word": " limit", "probability": 0.75048828125}], "temperature": 1.0}, {"id": 63, "seek": 143326, "start": 1411.84, "end": 1433.26, "text": "لما ال X بدي اروح لل Zero لمن؟ لل E of X زاد X أس واحد على X يساوي E ترابيع سؤال الرابع بيقول لي limit", "tokens": [1211, 15042, 2423, 1783, 4724, 16254, 1975, 32887, 5016, 24976, 17182, 5296, 27842, 22807, 24976, 462, 295, 1783, 30767, 18513, 1783, 5551, 3794, 36764, 24401, 15844, 1783, 7251, 3794, 995, 45865, 462, 6055, 2288, 16758, 40228, 8608, 33604, 6027, 34892, 16758, 3615, 4724, 1829, 39648, 32239, 4948], "avg_logprob": -0.394856758415699, "compression_ratio": 1.2755905511811023, "no_speech_prob": 0.0, "words": [{"start": 1411.84, "end": 1412.4, "word": "لما", "probability": 0.580322265625}, {"start": 1412.4, "end": 1412.62, "word": " ال", "probability": 0.77783203125}, {"start": 1412.62, "end": 1412.98, "word": " X", "probability": 0.4296875}, {"start": 1412.98, "end": 1413.4, "word": " بدي", "probability": 0.5997314453125}, {"start": 1413.4, "end": 1413.78, "word": " اروح", "probability": 0.669189453125}, {"start": 1413.78, "end": 1414.18, "word": " لل", "probability": 0.418212890625}, {"start": 1414.18, "end": 1414.68, "word": " Zero", "probability": 0.38037109375}, {"start": 1414.68, "end": 1415.88, "word": " لمن؟", "probability": 0.5576171875}, {"start": 1415.88, "end": 1416.28, "word": " لل", "probability": 0.7626953125}, {"start": 1416.28, "end": 1416.66, "word": " E", "probability": 0.8837890625}, {"start": 1416.66, "end": 1416.9, "word": " of", "probability": 0.50927734375}, {"start": 1416.9, "end": 1417.32, "word": " X", "probability": 0.85302734375}, {"start": 1417.32, "end": 1417.92, "word": " زاد", "probability": 0.611328125}, {"start": 1417.92, "end": 1418.34, "word": " X", "probability": 0.984375}, {"start": 1418.34, "end": 1419.02, "word": " أس", "probability": 0.395751953125}, {"start": 1419.02, "end": 1419.68, "word": " واحد", "probability": 0.91943359375}, {"start": 1419.68, "end": 1420.1, "word": " على", "probability": 0.7001953125}, {"start": 1420.1, "end": 1420.62, "word": " X", "probability": 0.9833984375}, {"start": 1420.62, "end": 1422.02, "word": " يساوي", "probability": 0.9483642578125}, {"start": 1422.02, "end": 1422.7, "word": " E", "probability": 0.91455078125}, {"start": 1422.7, "end": 1423.54, "word": " ترابيع", "probability": 0.83447265625}, {"start": 1423.54, "end": 1427.12, "word": " سؤال", "probability": 0.697998046875}, {"start": 1427.12, "end": 1428.2, "word": " الرابع", "probability": 0.9803059895833334}, {"start": 1428.2, "end": 1432.02, "word": " بيقول", "probability": 0.7633463541666666}, {"start": 1432.02, "end": 1432.32, "word": " لي", "probability": 0.77490234375}, {"start": 1432.32, "end": 1433.26, "word": " limit", "probability": 0.517578125}], "temperature": 1.0}, {"id": 64, "seek": 144621, "start": 1434.81, "end": 1446.21, "text": "لما ال X tends to infinity لمن؟ لل X تكييب زائد A أس واحد على لن ال X", "tokens": [1211, 15042, 2423, 1783, 12258, 281, 13202, 5296, 27842, 22807, 24976, 1783, 6055, 4117, 1829, 1829, 3555, 30767, 16373, 3215, 316, 5551, 3794, 36764, 24401, 15844, 5296, 1863, 2423, 1783], "avg_logprob": -0.3863407142700688, "compression_ratio": 1.0408163265306123, "no_speech_prob": 0.0, "words": [{"start": 1434.81, "end": 1435.39, "word": "لما", "probability": 0.60345458984375}, {"start": 1435.39, "end": 1435.59, "word": " ال", "probability": 0.7763671875}, {"start": 1435.59, "end": 1435.87, "word": " X", "probability": 0.52197265625}, {"start": 1435.87, "end": 1436.27, "word": " tends", "probability": 0.60498046875}, {"start": 1436.27, "end": 1436.59, "word": " to", "probability": 0.953125}, {"start": 1436.59, "end": 1437.41, "word": " infinity", "probability": 0.8291015625}, {"start": 1437.41, "end": 1438.95, "word": " لمن؟", "probability": 0.62451171875}, {"start": 1438.95, "end": 1439.39, "word": " لل", "probability": 0.444580078125}, {"start": 1439.39, "end": 1439.83, "word": " X", "probability": 0.8955078125}, {"start": 1439.83, "end": 1440.65, "word": " تكييب", "probability": 0.822998046875}, {"start": 1440.65, "end": 1441.91, "word": " زائد", "probability": 0.693603515625}, {"start": 1441.91, "end": 1442.43, "word": " A", "probability": 0.671875}, {"start": 1442.43, "end": 1443.25, "word": " أس", "probability": 0.822265625}, {"start": 1443.25, "end": 1444.09, "word": " واحد", "probability": 0.981201171875}, {"start": 1444.09, "end": 1445.05, "word": " على", "probability": 0.62353515625}, {"start": 1445.05, "end": 1445.53, "word": " لن", "probability": 0.869140625}, {"start": 1445.53, "end": 1445.79, "word": " ال", "probability": 0.427978515625}, {"start": 1445.79, "end": 1446.21, "word": " X", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 65, "seek": 147675, "start": 1451.25, "end": 1476.75, "text": "مالة نهاية تكيب واضيف عليها رقم مالة نهاية واحد لان المالة نهاية بمالة نهاية واحدة مالة نهاية ب zero يبقى هذه infinity of اللي هي الحالة التالتة مظبوط؟ مدام الحالة التالتة يبقى بأن نشتغل الأربع خطوات يبقى بالدرجة أقوله افترض", "tokens": [2304, 6027, 3660, 8717, 3224, 995, 10632, 6055, 4117, 1829, 3555, 4032, 46958, 33911, 25894, 11296, 12602, 4587, 2304, 3714, 6027, 3660, 8717, 3224, 995, 10632, 36764, 24401, 5296, 7649, 9673, 6027, 3660, 8717, 3224, 995, 10632, 4724, 2304, 6027, 3660, 8717, 3224, 995, 10632, 36764, 24401, 3660, 3714, 6027, 3660, 8717, 3224, 995, 10632, 4724, 4018, 7251, 3555, 4587, 7578, 29538, 13202, 295, 13672, 1829, 39896, 21542, 6027, 3660, 16712, 6027, 2655, 3660, 3714, 19913, 3555, 2407, 9566, 22807, 3714, 3215, 10943, 21542, 6027, 3660, 16712, 6027, 2655, 3660, 7251, 3555, 4587, 7578, 4724, 33456, 8717, 8592, 2655, 17082, 1211, 16247, 25513, 3615, 16490, 9566, 2407, 9307, 7251, 3555, 4587, 7578, 20666, 3215, 47341, 3660, 5551, 39648, 3224, 1975, 5172, 2655, 43042], "avg_logprob": -0.24823588685643289, "compression_ratio": 2.0899470899470898, "no_speech_prob": 0.0, "words": [{"start": 1451.25, "end": 1451.79, "word": "مالة", "probability": 0.5850423177083334}, {"start": 1451.79, "end": 1452.13, "word": " نهاية", "probability": 0.70489501953125}, {"start": 1452.13, "end": 1452.95, "word": " تكيب", "probability": 0.81494140625}, {"start": 1452.95, "end": 1454.13, "word": " واضيف", "probability": 0.4054361979166667}, {"start": 1454.13, "end": 1454.57, "word": " عليها", "probability": 0.98486328125}, {"start": 1454.57, "end": 1455.27, "word": " رقم", "probability": 0.97900390625}, {"start": 1455.27, "end": 1456.65, "word": " مالة", "probability": 0.8294270833333334}, {"start": 1456.65, "end": 1457.07, "word": " نهاية", "probability": 0.9349365234375}, {"start": 1457.07, "end": 1458.33, "word": " واحد", "probability": 0.78515625}, {"start": 1458.33, "end": 1458.87, "word": " لان", "probability": 0.63623046875}, {"start": 1458.87, "end": 1459.33, "word": " المالة", "probability": 0.9189453125}, {"start": 1459.33, "end": 1459.69, "word": " نهاية", "probability": 0.931884765625}, {"start": 1459.69, "end": 1460.15, "word": " بمالة", "probability": 0.8857421875}, {"start": 1460.15, "end": 1460.25, "word": " نهاية", "probability": 0.9708251953125}, {"start": 1460.25, "end": 1460.67, "word": " واحدة", "probability": 0.9093424479166666}, {"start": 1460.67, "end": 1460.95, "word": " مالة", "probability": 0.94677734375}, {"start": 1460.95, "end": 1461.51, "word": " نهاية", "probability": 0.9736328125}, {"start": 1461.51, "end": 1462.31, "word": " ب", "probability": 0.485595703125}, {"start": 1462.31, "end": 1462.71, "word": " zero", "probability": 0.11285400390625}, {"start": 1462.71, "end": 1463.43, "word": " يبقى", "probability": 0.929443359375}, {"start": 1463.43, "end": 1463.89, "word": " هذه", "probability": 0.853515625}, {"start": 1463.89, "end": 1465.09, "word": " infinity", "probability": 0.74560546875}, {"start": 1465.09, "end": 1465.97, "word": " of", "probability": 0.496826171875}, {"start": 1465.97, "end": 1467.11, "word": " اللي", "probability": 0.54180908203125}, {"start": 1467.11, "end": 1467.27, "word": " هي", "probability": 0.7412109375}, {"start": 1467.27, "end": 1467.81, "word": " الحالة", "probability": 0.9850260416666666}, {"start": 1467.81, "end": 1468.87, "word": " التالتة", "probability": 0.95166015625}, {"start": 1468.87, "end": 1470.07, "word": " مظبوط؟", "probability": 0.7422688802083334}, {"start": 1470.07, "end": 1470.41, "word": " مدام", "probability": 0.6234537760416666}, {"start": 1470.41, "end": 1470.87, "word": " الحالة", "probability": 0.9918619791666666}, {"start": 1470.87, "end": 1471.15, "word": " التالتة", "probability": 0.9822998046875}, {"start": 1471.15, "end": 1471.35, "word": " يبقى", "probability": 0.9644775390625}, {"start": 1471.35, "end": 1471.61, "word": " بأن", "probability": 0.4556884765625}, {"start": 1471.61, "end": 1472.77, "word": " نشتغل", "probability": 0.89365234375}, {"start": 1472.77, "end": 1473.61, "word": " الأربع", "probability": 0.8790690104166666}, {"start": 1473.61, "end": 1474.43, "word": " خطوات", "probability": 0.985107421875}, {"start": 1474.43, "end": 1475.29, "word": " يبقى", "probability": 0.949951171875}, {"start": 1475.29, "end": 1475.79, "word": " بالدرجة", "probability": 0.67730712890625}, {"start": 1475.79, "end": 1476.31, "word": " أقوله", "probability": 0.54638671875}, {"start": 1476.31, "end": 1476.75, "word": " افترض", "probability": 0.8719482421875}], "temperature": 1.0}, {"id": 66, "seek": 150121, "start": 1485.31, "end": 1501.21, "text": "خطوة التانية خد لن للطرفين يبقى لن ال F of X يسوى واحد على لن ال X في لن ال X تكييب زائد E", "tokens": [9778, 9566, 2407, 3660, 16712, 7649, 10632, 16490, 3215, 5296, 1863, 24976, 9566, 28480, 9957, 7251, 3555, 4587, 7578, 5296, 1863, 2423, 479, 295, 1783, 7251, 3794, 2407, 7578, 36764, 24401, 15844, 5296, 1863, 2423, 1783, 8978, 5296, 1863, 2423, 1783, 6055, 4117, 1829, 1829, 3555, 30767, 16373, 3215, 462], "avg_logprob": -0.31985292832056683, "compression_ratio": 1.3888888888888888, "no_speech_prob": 0.0, "words": [{"start": 1485.31, "end": 1486.51, "word": "خطوة", "probability": 0.754638671875}, {"start": 1486.51, "end": 1487.09, "word": " التانية", "probability": 0.837890625}, {"start": 1487.09, "end": 1487.81, "word": " خد", "probability": 0.5745849609375}, {"start": 1487.81, "end": 1488.35, "word": " لن", "probability": 0.52862548828125}, {"start": 1488.35, "end": 1489.51, "word": " للطرفين", "probability": 0.9459228515625}, {"start": 1489.51, "end": 1490.47, "word": " يبقى", "probability": 0.8255615234375}, {"start": 1490.47, "end": 1490.85, "word": " لن", "probability": 0.8251953125}, {"start": 1490.85, "end": 1491.07, "word": " ال", "probability": 0.3681640625}, {"start": 1491.07, "end": 1491.39, "word": " F", "probability": 0.359619140625}, {"start": 1491.39, "end": 1491.75, "word": " of", "probability": 0.68115234375}, {"start": 1491.75, "end": 1492.11, "word": " X", "probability": 0.9111328125}, {"start": 1492.11, "end": 1492.99, "word": " يسوى", "probability": 0.66778564453125}, {"start": 1492.99, "end": 1493.81, "word": " واحد", "probability": 0.910400390625}, {"start": 1493.81, "end": 1494.63, "word": " على", "probability": 0.7666015625}, {"start": 1494.63, "end": 1495.05, "word": " لن", "probability": 0.9306640625}, {"start": 1495.05, "end": 1495.27, "word": " ال", "probability": 0.58935546875}, {"start": 1495.27, "end": 1495.69, "word": " X", "probability": 0.96435546875}, {"start": 1495.69, "end": 1496.31, "word": " في", "probability": 0.8623046875}, {"start": 1496.31, "end": 1497.17, "word": " لن", "probability": 0.964599609375}, {"start": 1497.17, "end": 1497.61, "word": " ال", "probability": 0.1923828125}, {"start": 1497.61, "end": 1498.41, "word": " X", "probability": 0.77587890625}, {"start": 1498.41, "end": 1499.33, "word": " تكييب", "probability": 0.93369140625}, {"start": 1499.33, "end": 1500.83, "word": " زائد", "probability": 0.83447265625}, {"start": 1500.83, "end": 1501.21, "word": " E", "probability": 0.91064453125}], "temperature": 1.0}, {"id": 67, "seek": 152836, "start": 1503.16, "end": 1528.36, "text": "خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة خطوة تالتة", "tokens": [9778, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660, 16490, 9566, 2407, 3660, 6055, 6027, 2655, 3660], "avg_logprob": -0.12363138642624347, "compression_ratio": 10.59375, "no_speech_prob": 0.0, "words": [{"start": 1503.16, "end": 1503.76, "word": "خطوة", "probability": 0.9241943359375}, {"start": 1503.76, "end": 1504.38, "word": " تالتة", "probability": 0.81878662109375}, {"start": 1504.38, "end": 1524.26, "word": " خطوة", "probability": 0.69091796875}, {"start": 1524.26, "end": 1525.46, "word": " تالتة", "probability": 0.8291015625}, {"start": 1525.46, "end": 1525.52, "word": " خطوة", "probability": 0.78582763671875}, {"start": 1525.52, "end": 1525.52, "word": " تالتة", "probability": 0.884765625}, {"start": 1525.52, "end": 1525.74, "word": " خطوة", "probability": 0.846923828125}, {"start": 1525.74, "end": 1525.74, "word": " تالتة", "probability": 0.869873046875}, {"start": 1525.74, "end": 1525.76, "word": " خطوة", "probability": 0.88525390625}, {"start": 1525.76, "end": 1525.76, "word": " تالتة", "probability": 0.8824462890625}, {"start": 1525.76, "end": 1525.76, "word": " خطوة", "probability": 0.8990478515625}, {"start": 1525.76, "end": 1525.76, "word": " تالتة", "probability": 0.9144287109375}, {"start": 1525.76, "end": 1525.76, "word": " خطوة", "probability": 0.914306640625}, {"start": 1525.76, "end": 1525.84, "word": " تالتة", "probability": 0.9473876953125}, {"start": 1525.84, "end": 1525.84, "word": " خطوة", "probability": 0.927734375}, {"start": 1525.84, "end": 1526.24, "word": " تالتة", "probability": 0.9678955078125}, {"start": 1526.24, "end": 1526.3, "word": " خطوة", "probability": 0.936767578125}, {"start": 1526.3, "end": 1526.6, "word": " تالتة", "probability": 0.977783203125}, {"start": 1526.6, "end": 1526.6, "word": " خطوة", "probability": 0.941162109375}, {"start": 1526.6, "end": 1526.6, "word": " تالتة", "probability": 0.9830322265625}, {"start": 1526.6, "end": 1527.38, "word": " خطوة", "probability": 0.9443359375}, {"start": 1527.38, "end": 1528.12, "word": " تالتة", "probability": 0.986083984375}, {"start": 1528.12, "end": 1528.36, "word": " خطوة", "probability": 0.947021484375}, {"start": 1528.36, "end": 1528.36, "word": " تالتة", "probability": 0.98779296875}, {"start": 1528.36, "end": 1528.36, "word": " خطوة", "probability": 0.9482421875}, {"start": 1528.36, "end": 1528.36, "word": " تالتة", "probability": 0.989013671875}, {"start": 1528.36, "end": 1528.36, "word": " خطوة", "probability": 0.9478759765625}, {"start": 1528.36, "end": 1528.36, "word": " تالتة", "probability": 0.9901123046875}, {"start": 1528.36, "end": 1528.36, "word": " خطوة", "probability": 0.9471435546875}, {"start": 1528.36, "end": 1528.36, "word": " تالتة", "probability": 0.990966796875}, {"start": 1528.36, "end": 1528.36, "word": " خطوة", "probability": 0.947265625}, {"start": 1528.36, "end": 1528.36, "word": " تالتة", "probability": 0.9913330078125}, {"start": 1528.36, "end": 1528.36, "word": " خطوة", "probability": 0.9486083984375}, {"start": 1528.36, "end": 1528.36, "word": " تالتة", "probability": 0.9918212890625}], "temperature": 1.0}, {"id": 68, "seek": 153489, "start": 1528.47, "end": 1534.89, "text": "لأن الانفينيتي لمّا راح لانفينيتي لإن رايح لوين؟ لانفينيتي", "tokens": [1211, 33456, 2423, 7649, 5172, 9957, 1829, 31371, 32767, 11703, 995, 12602, 39319, 5296, 7649, 5172, 9957, 1829, 31371, 5296, 28814, 1863, 12602, 47302, 5016, 45164, 9957, 22807, 5296, 7649, 5172, 9957, 1829, 31371], "avg_logprob": -0.42879464285714286, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 1528.47, "end": 1529.09, "word": "لأن", "probability": 0.540771484375}, {"start": 1529.09, "end": 1530.53, "word": " الانفينيتي", "probability": 0.68218994140625}, {"start": 1530.53, "end": 1530.91, "word": " لمّا", "probability": 0.6396484375}, {"start": 1530.91, "end": 1531.09, "word": " راح", "probability": 0.813232421875}, {"start": 1531.09, "end": 1531.77, "word": " لانفينيتي", "probability": 0.7798258463541666}, {"start": 1531.77, "end": 1532.11, "word": " لإن", "probability": 0.5801595052083334}, {"start": 1532.11, "end": 1532.45, "word": " رايح", "probability": 0.76708984375}, {"start": 1532.45, "end": 1533.45, "word": " لوين؟", "probability": 0.5340983072916666}, {"start": 1533.45, "end": 1534.89, "word": " لانفينيتي", "probability": 0.9120279947916666}], "temperature": 1.0}, {"id": 69, "seek": 156129, "start": 1535.59, "end": 1561.29, "text": "وهذا كمان جداش infinity يبقى اتحولت مثلتنا من infinity of zero إلى infinity على infinity إذا مشتقت دالة البصرة على مشتقت دالة المقام يبقى limit لما ال X tends to infinity لمين لتلاتة X تربيع على X تكيب", "tokens": [2407, 3224, 15730, 9122, 2304, 7649, 10874, 3215, 33599, 13202, 7251, 3555, 4587, 7578, 1975, 2655, 5016, 12610, 2655, 50113, 1211, 2655, 8315, 9154, 13202, 295, 4018, 30731, 13202, 15844, 13202, 11933, 15730, 37893, 2655, 38149, 11778, 6027, 3660, 29739, 9381, 25720, 15844, 37893, 2655, 38149, 11778, 6027, 3660, 9673, 4587, 10943, 7251, 3555, 4587, 7578, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 32767, 9957, 5296, 2655, 1211, 9307, 3660, 1783, 6055, 25513, 40228, 15844, 1783, 6055, 4117, 1829, 3555], "avg_logprob": -0.22446646577701335, "compression_ratio": 1.7175141242937852, "no_speech_prob": 0.0, "words": [{"start": 1535.59, "end": 1536.15, "word": "وهذا", "probability": 0.6487630208333334}, {"start": 1536.15, "end": 1536.53, "word": " كمان", "probability": 0.8388671875}, {"start": 1536.53, "end": 1537.21, "word": " جداش", "probability": 0.79248046875}, {"start": 1537.21, "end": 1538.51, "word": " infinity", "probability": 0.29541015625}, {"start": 1538.51, "end": 1540.13, "word": " يبقى", "probability": 0.916015625}, {"start": 1540.13, "end": 1541.43, "word": " اتحولت", "probability": 0.89267578125}, {"start": 1541.43, "end": 1542.23, "word": " مثلتنا", "probability": 0.838134765625}, {"start": 1542.23, "end": 1542.79, "word": " من", "probability": 0.94384765625}, {"start": 1542.79, "end": 1543.39, "word": " infinity", "probability": 0.79638671875}, {"start": 1543.39, "end": 1543.75, "word": " of", "probability": 0.329345703125}, {"start": 1543.75, "end": 1544.27, "word": " zero", "probability": 0.409423828125}, {"start": 1544.27, "end": 1544.63, "word": " إلى", "probability": 0.62158203125}, {"start": 1544.63, "end": 1545.35, "word": " infinity", "probability": 0.85595703125}, {"start": 1545.35, "end": 1545.81, "word": " على", "probability": 0.64013671875}, {"start": 1545.81, "end": 1546.83, "word": " infinity", "probability": 0.85205078125}, {"start": 1546.83, "end": 1547.55, "word": " إذا", "probability": 0.785400390625}, {"start": 1547.55, "end": 1548.19, "word": " مشتقت", "probability": 0.9329427083333334}, {"start": 1548.19, "end": 1548.59, "word": " دالة", "probability": 0.94873046875}, {"start": 1548.59, "end": 1549.05, "word": " البصرة", "probability": 0.5133463541666666}, {"start": 1549.05, "end": 1549.21, "word": " على", "probability": 0.70263671875}, {"start": 1549.21, "end": 1549.99, "word": " مشتقت", "probability": 0.9484049479166666}, {"start": 1549.99, "end": 1551.05, "word": " دالة", "probability": 0.9645182291666666}, {"start": 1551.05, "end": 1551.75, "word": " المقام", "probability": 0.99267578125}, {"start": 1551.75, "end": 1552.23, "word": " يبقى", "probability": 0.9810791015625}, {"start": 1552.23, "end": 1552.77, "word": " limit", "probability": 0.72314453125}, {"start": 1552.77, "end": 1553.73, "word": " لما", "probability": 0.90087890625}, {"start": 1553.73, "end": 1553.89, "word": " ال", "probability": 0.9375}, {"start": 1553.89, "end": 1554.17, "word": " X", "probability": 0.515625}, {"start": 1554.17, "end": 1554.57, "word": " tends", "probability": 0.8408203125}, {"start": 1554.57, "end": 1554.81, "word": " to", "probability": 0.9296875}, {"start": 1554.81, "end": 1555.55, "word": " infinity", "probability": 0.89013671875}, {"start": 1555.55, "end": 1556.75, "word": " لمين", "probability": 0.779052734375}, {"start": 1556.75, "end": 1558.31, "word": " لتلاتة", "probability": 0.80693359375}, {"start": 1558.31, "end": 1558.69, "word": " X", "probability": 0.8828125}, {"start": 1558.69, "end": 1559.45, "word": " تربيع", "probability": 0.8326822916666666}, {"start": 1559.45, "end": 1560.13, "word": " على", "probability": 0.8193359375}, {"start": 1560.13, "end": 1560.51, "word": " X", "probability": 0.97607421875}, {"start": 1560.51, "end": 1561.29, "word": " تكيب", "probability": 0.8497314453125}], "temperature": 1.0}, {"id": 70, "seek": 158123, "start": 1561.59, "end": 1581.23, "text": "زائد اي واحد على اكس تكيب زائد اي في مشتقة ال E بتلاتة اكس تربية ومشتقة ال E بزيرو اللي عملنا لدالة اللي فوق بدي نعمله لدالة اللي تحت مشتقة ال N ال X بواحد على اكس بدي اعيد ترتيب المثلة بشكل مهذب", "tokens": [11622, 16373, 3215, 1975, 1829, 36764, 24401, 15844, 1975, 4117, 3794, 6055, 4117, 1829, 3555, 30767, 16373, 3215, 1975, 1829, 8978, 37893, 2655, 28671, 2423, 462, 39894, 1211, 9307, 3660, 1975, 4117, 3794, 6055, 25513, 10632, 4032, 2304, 8592, 2655, 28671, 2423, 462, 4724, 11622, 13546, 2407, 13672, 1829, 6225, 42213, 8315, 5296, 3215, 6027, 3660, 13672, 1829, 6156, 30543, 4724, 16254, 8717, 25957, 43761, 5296, 3215, 6027, 3660, 13672, 1829, 6055, 33753, 37893, 2655, 28671, 2423, 426, 2423, 1783, 4724, 14407, 24401, 15844, 1975, 4117, 3794, 4724, 16254, 1975, 3615, 25708, 6055, 2288, 31371, 3555, 9673, 12984, 37977, 4724, 8592, 28820, 3714, 3224, 8848, 3555], "avg_logprob": -0.28738318369767374, "compression_ratio": 2.059880239520958, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1561.59, "end": 1562.47, "word": "زائد", "probability": 0.5062662760416666}, {"start": 1562.47, "end": 1562.81, "word": " اي", "probability": 0.31591796875}, {"start": 1562.81, "end": 1563.69, "word": " واحد", "probability": 0.729736328125}, {"start": 1563.69, "end": 1563.87, "word": " على", "probability": 0.44873046875}, {"start": 1563.87, "end": 1564.19, "word": " اكس", "probability": 0.841796875}, {"start": 1564.19, "end": 1564.67, "word": " تكيب", "probability": 0.82373046875}, {"start": 1564.67, "end": 1565.09, "word": " زائد", "probability": 0.9588216145833334}, {"start": 1565.09, "end": 1565.43, "word": " اي", "probability": 0.9072265625}, {"start": 1565.43, "end": 1565.79, "word": " في", "probability": 0.873046875}, {"start": 1565.79, "end": 1566.45, "word": " مشتقة", "probability": 0.88916015625}, {"start": 1566.45, "end": 1566.69, "word": " ال", "probability": 0.28955078125}, {"start": 1566.69, "end": 1566.75, "word": " E", "probability": 0.48095703125}, {"start": 1566.75, "end": 1567.23, "word": " بتلاتة", "probability": 0.67767333984375}, {"start": 1567.23, "end": 1567.43, "word": " اكس", "probability": 0.8974609375}, {"start": 1567.43, "end": 1567.89, "word": " تربية", "probability": 0.8172200520833334}, {"start": 1567.89, "end": 1568.87, "word": " ومشتقة", "probability": 0.9271484375}, {"start": 1568.87, "end": 1569.07, "word": " ال", "probability": 0.947265625}, {"start": 1569.07, "end": 1569.29, "word": " E", "probability": 0.433349609375}, {"start": 1569.29, "end": 1570.03, "word": " بزيرو", "probability": 0.7489013671875}, {"start": 1570.03, "end": 1570.65, "word": " اللي", "probability": 0.849609375}, {"start": 1570.65, "end": 1571.13, "word": " عملنا", "probability": 0.8670247395833334}, {"start": 1571.13, "end": 1571.59, "word": " لدالة", "probability": 0.736328125}, {"start": 1571.59, "end": 1571.73, "word": " اللي", "probability": 0.763427734375}, {"start": 1571.73, "end": 1571.99, "word": " فوق", "probability": 0.906982421875}, {"start": 1571.99, "end": 1572.17, "word": " بدي", "probability": 0.387939453125}, {"start": 1572.17, "end": 1572.73, "word": " نعمله", "probability": 0.8665364583333334}, {"start": 1572.73, "end": 1574.01, "word": " لدالة", "probability": 0.9888916015625}, {"start": 1574.01, "end": 1574.19, "word": " اللي", "probability": 0.945556640625}, {"start": 1574.19, "end": 1574.61, "word": " تحت", "probability": 0.62451171875}, {"start": 1574.61, "end": 1575.75, "word": " مشتقة", "probability": 0.96728515625}, {"start": 1575.75, "end": 1575.93, "word": " ال", "probability": 0.4033203125}, {"start": 1575.93, "end": 1576.05, "word": " N", "probability": 0.57373046875}, {"start": 1576.05, "end": 1576.17, "word": " ال", "probability": 0.38134765625}, {"start": 1576.17, "end": 1576.41, "word": " X", "probability": 0.541015625}, {"start": 1576.41, "end": 1576.97, "word": " بواحد", "probability": 0.9739583333333334}, {"start": 1576.97, "end": 1577.15, "word": " على", "probability": 0.8310546875}, {"start": 1577.15, "end": 1577.51, "word": " اكس", "probability": 0.9181315104166666}, {"start": 1577.51, "end": 1578.35, "word": " بدي", "probability": 0.87060546875}, {"start": 1578.35, "end": 1578.85, "word": " اعيد", "probability": 0.645263671875}, {"start": 1578.85, "end": 1579.43, "word": " ترتيب", "probability": 0.9212646484375}, {"start": 1579.43, "end": 1579.93, "word": " المثلة", "probability": 0.6834309895833334}, {"start": 1579.93, "end": 1580.41, "word": " بشكل", "probability": 0.9811197916666666}, {"start": 1580.41, "end": 1581.23, "word": " مهذب", "probability": 0.9110107421875}], "temperature": 1.0}, {"id": 71, "seek": 161101, "start": 1581.59, "end": 1611.01, "text": "أحسن هذا كلكعة كبيرة هذي يبقى بنرجع لكثور الاعتيادية تبع ترابة امتدائي يبقى هذا بيصير تلاتة X تربيع على X تكعيب زادي وهذه ال X بتطلع وين؟ فوق بيصير هذا تلاتة X تكعيب والباقي كما هو طيب الان لو جيت عوض طبعا وانا مش راجعش بطلع", "tokens": [10721, 5016, 3794, 1863, 23758, 28242, 4117, 27884, 9122, 3555, 48923, 8032, 8848, 1829, 7251, 3555, 4587, 7578, 44945, 47341, 3615, 5296, 4117, 12984, 13063, 42963, 34268, 25528, 16254, 3660, 6055, 3555, 3615, 6055, 2288, 16758, 3660, 1975, 2304, 2655, 3215, 16373, 1829, 7251, 3555, 4587, 7578, 23758, 4724, 1829, 9381, 13546, 6055, 1211, 9307, 3660, 1783, 6055, 2288, 21292, 3615, 15844, 1783, 6055, 4117, 3615, 1829, 3555, 30767, 995, 16254, 37037, 24192, 2423, 1783, 39894, 9566, 1211, 3615, 4032, 9957, 22807, 6156, 30543, 4724, 1829, 9381, 13546, 23758, 6055, 1211, 9307, 3660, 1783, 6055, 4117, 3615, 1829, 3555, 16070, 3555, 995, 38436, 9122, 15042, 31439, 23032, 1829, 3555, 2423, 7649, 45164, 10874, 36081, 6225, 2407, 11242, 23032, 3555, 3615, 995, 4032, 7649, 995, 37893, 12602, 26108, 3615, 8592, 4724, 9566, 1211, 3615], "avg_logprob": -0.32182837288771105, "compression_ratio": 1.8909952606635072, "no_speech_prob": 0.0, "words": [{"start": 1581.59, "end": 1582.11, "word": "أحسن", "probability": 0.637451171875}, {"start": 1582.11, "end": 1582.25, "word": " هذا", "probability": 0.263916015625}, {"start": 1582.25, "end": 1582.79, "word": " كلكعة", "probability": 0.3833821614583333}, {"start": 1582.79, "end": 1583.21, "word": " كبيرة", "probability": 0.9713541666666666}, {"start": 1583.21, "end": 1583.75, "word": " هذي", "probability": 0.5029296875}, {"start": 1583.75, "end": 1584.47, "word": " يبقى", "probability": 0.6685791015625}, {"start": 1584.47, "end": 1585.09, "word": " بنرجع", "probability": 0.8458658854166666}, {"start": 1585.09, "end": 1585.89, "word": " لكثور", "probability": 0.776123046875}, {"start": 1585.89, "end": 1587.23, "word": " الاعتيادية", "probability": 0.73623046875}, {"start": 1587.23, "end": 1587.89, "word": " تبع", "probability": 0.880859375}, {"start": 1587.89, "end": 1588.51, "word": " ترابة", "probability": 0.62762451171875}, {"start": 1588.51, "end": 1589.61, "word": " امتدائي", "probability": 0.813232421875}, {"start": 1589.61, "end": 1590.71, "word": " يبقى", "probability": 0.9610595703125}, {"start": 1590.71, "end": 1590.93, "word": " هذا", "probability": 0.56982421875}, {"start": 1590.93, "end": 1591.49, "word": " بيصير", "probability": 0.862060546875}, {"start": 1591.49, "end": 1592.57, "word": " تلاتة", "probability": 0.8681640625}, {"start": 1592.57, "end": 1592.99, "word": " X", "probability": 0.51025390625}, {"start": 1592.99, "end": 1593.89, "word": " تربيع", "probability": 0.825927734375}, {"start": 1593.89, "end": 1594.75, "word": " على", "probability": 0.59765625}, {"start": 1594.75, "end": 1595.43, "word": " X", "probability": 0.96435546875}, {"start": 1595.43, "end": 1596.21, "word": " تكعيب", "probability": 0.73984375}, {"start": 1596.21, "end": 1597.11, "word": " زادي", "probability": 0.6861572265625}, {"start": 1597.11, "end": 1598.13, "word": " وهذه", "probability": 0.58837890625}, {"start": 1598.13, "end": 1598.27, "word": " ال", "probability": 0.7734375}, {"start": 1598.27, "end": 1598.43, "word": " X", "probability": 0.8056640625}, {"start": 1598.43, "end": 1599.03, "word": " بتطلع", "probability": 0.878662109375}, {"start": 1599.03, "end": 1599.75, "word": " وين؟", "probability": 0.6577962239583334}, {"start": 1599.75, "end": 1600.21, "word": " فوق", "probability": 0.97509765625}, {"start": 1600.21, "end": 1600.71, "word": " بيصير", "probability": 0.888427734375}, {"start": 1600.71, "end": 1601.13, "word": " هذا", "probability": 0.83935546875}, {"start": 1601.13, "end": 1602.21, "word": " تلاتة", "probability": 0.975341796875}, {"start": 1602.21, "end": 1602.53, "word": " X", "probability": 0.99072265625}, {"start": 1602.53, "end": 1603.35, "word": " تكعيب", "probability": 0.99423828125}, {"start": 1603.35, "end": 1604.33, "word": " والباقي", "probability": 0.7998046875}, {"start": 1604.33, "end": 1604.81, "word": " كما", "probability": 0.911376953125}, {"start": 1604.81, "end": 1605.11, "word": " هو", "probability": 0.99365234375}, {"start": 1605.11, "end": 1607.13, "word": " طيب", "probability": 0.8014322916666666}, {"start": 1607.13, "end": 1608.69, "word": " الان", "probability": 0.4630126953125}, {"start": 1608.69, "end": 1608.89, "word": " لو", "probability": 0.94140625}, {"start": 1608.89, "end": 1609.11, "word": " جيت", "probability": 0.6397705078125}, {"start": 1609.11, "end": 1609.51, "word": " عوض", "probability": 0.7439778645833334}, {"start": 1609.51, "end": 1609.83, "word": " طبعا", "probability": 0.922119140625}, {"start": 1609.83, "end": 1610.03, "word": " وانا", "probability": 0.3952433268229167}, {"start": 1610.03, "end": 1610.15, "word": " مش", "probability": 0.49658203125}, {"start": 1610.15, "end": 1610.49, "word": " راجعش", "probability": 0.74151611328125}, {"start": 1610.49, "end": 1611.01, "word": " بطلع", "probability": 0.79925537109375}], "temperature": 1.0}, {"id": 72, "seek": 164253, "start": 1612.99, "end": 1642.53, "text": "Infinity على Infinity كويس يبقى هذا بتطلع Infinity على Infinity شو نعمل؟ كمان مرة يبقى هذا الكلام يساوي ال limit لما ال X tends to Infinity لميم لتسعة X ترابيع على تلاتة X ترابيع تعاود مباشر Infinity على Infinity كمان مرة و كمان مرة طب واش هالشدة يا عباد الله؟", "tokens": [4575, 5194, 507, 15844, 34762, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 23758, 39894, 9566, 1211, 3615, 34762, 15844, 34762, 13412, 2407, 8717, 25957, 1211, 22807, 9122, 2304, 7649, 3714, 25720, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 1783, 12258, 281, 34762, 32767, 32640, 5296, 2655, 3794, 27884, 1783, 6055, 2288, 16758, 40228, 15844, 6055, 1211, 9307, 3660, 1783, 6055, 2288, 16758, 40228, 37279, 995, 23328, 3714, 3555, 33599, 2288, 34762, 15844, 34762, 9122, 2304, 7649, 3714, 25720, 4032, 9122, 2304, 7649, 3714, 25720, 23032, 3555, 4032, 33599, 8032, 6027, 8592, 41891, 35186, 6225, 3555, 18513, 21984, 22807], "avg_logprob": -0.229501142414338, "compression_ratio": 1.9704433497536946, "no_speech_prob": 0.0, "words": [{"start": 1612.99, "end": 1614.01, "word": "Infinity", "probability": 0.7274576822916666}, {"start": 1614.01, "end": 1614.99, "word": " على", "probability": 0.556640625}, {"start": 1614.99, "end": 1615.87, "word": " Infinity", "probability": 0.7783203125}, {"start": 1615.87, "end": 1617.03, "word": " كويس", "probability": 0.6977132161458334}, {"start": 1617.03, "end": 1617.73, "word": " يبقى", "probability": 0.8792724609375}, {"start": 1617.73, "end": 1617.99, "word": " هذا", "probability": 0.6435546875}, {"start": 1617.99, "end": 1618.61, "word": " بتطلع", "probability": 0.858642578125}, {"start": 1618.61, "end": 1619.29, "word": " Infinity", "probability": 0.74072265625}, {"start": 1619.29, "end": 1620.15, "word": " على", "probability": 0.88330078125}, {"start": 1620.15, "end": 1620.85, "word": " Infinity", "probability": 0.775390625}, {"start": 1620.85, "end": 1621.13, "word": " شو", "probability": 0.6767578125}, {"start": 1621.13, "end": 1621.93, "word": " نعمل؟", "probability": 0.85302734375}, {"start": 1621.93, "end": 1623.19, "word": " كمان", "probability": 0.90771484375}, {"start": 1623.19, "end": 1623.63, "word": " مرة", "probability": 0.986083984375}, {"start": 1623.63, "end": 1624.49, "word": " يبقى", "probability": 0.973388671875}, {"start": 1624.49, "end": 1624.83, "word": " هذا", "probability": 0.9609375}, {"start": 1624.83, "end": 1625.27, "word": " الكلام", "probability": 0.9705403645833334}, {"start": 1625.27, "end": 1625.89, "word": " يساوي", "probability": 0.9097900390625}, {"start": 1625.89, "end": 1626.09, "word": " ال", "probability": 0.499755859375}, {"start": 1626.09, "end": 1626.51, "word": " limit", "probability": 0.84521484375}, {"start": 1626.51, "end": 1627.49, "word": " لما", "probability": 0.892333984375}, {"start": 1627.49, "end": 1627.65, "word": " ال", "probability": 0.9384765625}, {"start": 1627.65, "end": 1627.91, "word": " X", "probability": 0.8056640625}, {"start": 1627.91, "end": 1628.33, "word": " tends", "probability": 0.65673828125}, {"start": 1628.33, "end": 1628.59, "word": " to", "probability": 0.9375}, {"start": 1628.59, "end": 1629.33, "word": " Infinity", "probability": 0.50732421875}, {"start": 1629.33, "end": 1630.19, "word": " لميم", "probability": 0.4588623046875}, {"start": 1630.19, "end": 1632.17, "word": " لتسعة", "probability": 0.78192138671875}, {"start": 1632.17, "end": 1632.67, "word": " X", "probability": 0.822265625}, {"start": 1632.67, "end": 1633.55, "word": " ترابيع", "probability": 0.67950439453125}, {"start": 1633.55, "end": 1634.37, "word": " على", "probability": 0.83251953125}, {"start": 1634.37, "end": 1635.31, "word": " تلاتة", "probability": 0.9652099609375}, {"start": 1635.31, "end": 1635.65, "word": " X", "probability": 0.994140625}, {"start": 1635.65, "end": 1636.49, "word": " ترابيع", "probability": 0.95458984375}, {"start": 1636.49, "end": 1637.31, "word": " تعاود", "probability": 0.6990559895833334}, {"start": 1637.31, "end": 1638.09, "word": " مباشر", "probability": 0.9354248046875}, {"start": 1638.09, "end": 1638.61, "word": " Infinity", "probability": 0.732421875}, {"start": 1638.61, "end": 1638.87, "word": " على", "probability": 0.7548828125}, {"start": 1638.87, "end": 1639.03, "word": " Infinity", "probability": 0.38818359375}, {"start": 1639.03, "end": 1639.39, "word": " كمان", "probability": 0.9474283854166666}, {"start": 1639.39, "end": 1639.67, "word": " مرة", "probability": 0.98876953125}, {"start": 1639.67, "end": 1639.83, "word": " و", "probability": 0.97216796875}, {"start": 1639.83, "end": 1640.11, "word": " كمان", "probability": 0.7935384114583334}, {"start": 1640.11, "end": 1640.45, "word": " مرة", "probability": 0.9951171875}, {"start": 1640.45, "end": 1641.01, "word": " طب", "probability": 0.83251953125}, {"start": 1641.01, "end": 1641.21, "word": " واش", "probability": 0.579833984375}, {"start": 1641.21, "end": 1641.57, "word": " هالشدة", "probability": 0.66204833984375}, {"start": 1641.57, "end": 1641.77, "word": " يا", "probability": 0.9345703125}, {"start": 1641.77, "end": 1642.09, "word": " عباد", "probability": 0.95458984375}, {"start": 1642.09, "end": 1642.53, "word": " الله؟", "probability": 0.93212890625}], "temperature": 1.0}, {"id": 73, "seek": 167116, "start": 1642.86, "end": 1671.16, "text": "ما تختصر X تربية مع X تربية أو تسعة مع تلاتة بيبقى الجداش تلاتة اذا واحد تاني جالي بدل ما سويتك مكان من هنا زي ما أخدنا في calculus A وفي الثانوية العامة هذه ال polynomial و هذه ال polynomial يبقى بنجسم كل من البصر ومن القعام على X المرفوعة لأكبر أُس في المقام لو عملها حد بقدر يقول إنه غلط لأ يا عم صح مدام أخدناها أجابة لهك تشتغلي بها مع أن مانع", "tokens": [15042, 6055, 46456, 9381, 2288, 1783, 6055, 2288, 21292, 3660, 20449, 1783, 6055, 2288, 21292, 3660, 34051, 6055, 3794, 27884, 20449, 6055, 1211, 9307, 3660, 4724, 1829, 3555, 4587, 7578, 25724, 3215, 33599, 6055, 1211, 9307, 3660, 1975, 15730, 36764, 24401, 6055, 7649, 1829, 10874, 6027, 1829, 47525, 1211, 19446, 8608, 2407, 36081, 4117, 3714, 41361, 9154, 34105, 30767, 1829, 19446, 5551, 9778, 3215, 8315, 8978, 33400, 316, 4032, 41185, 6024, 104, 7649, 2407, 10632, 18863, 10943, 3660, 29538, 2423, 26110, 4032, 29538, 2423, 26110, 7251, 3555, 4587, 7578, 44945, 7435, 38251, 28242, 9154, 29739, 9381, 2288, 4032, 27842, 25062, 3615, 10943, 15844, 1783, 9673, 28480, 2407, 27884, 5296, 10721, 4117, 26890, 5551, 10859, 3794, 8978, 9673, 4587, 10943, 45164, 6225, 42213, 11296, 11331, 3215, 4724, 28543, 2288, 7251, 39648, 36145, 3224, 32771, 1211, 9566, 5296, 10721, 35186, 6225, 2304, 20328, 5016, 3714, 3215, 10943, 5551, 9778, 3215, 8315, 11296, 5551, 7435, 16758, 3660, 46740, 4117, 6055, 8592, 2655, 17082, 20292, 4724, 11296, 20449, 14739, 3714, 7649, 3615], "avg_logprob": -0.25869083404541016, "compression_ratio": 1.875796178343949, "no_speech_prob": 0.0, "words": [{"start": 1642.86, "end": 1643.1, "word": "ما", "probability": 0.251220703125}, {"start": 1643.1, "end": 1643.94, "word": " تختصر", "probability": 0.9608154296875}, {"start": 1643.94, "end": 1644.66, "word": " X", "probability": 0.485595703125}, {"start": 1644.66, "end": 1645.26, "word": " تربية", "probability": 0.67724609375}, {"start": 1645.26, "end": 1645.4, "word": " مع", "probability": 0.92431640625}, {"start": 1645.4, "end": 1645.64, "word": " X", "probability": 0.9794921875}, {"start": 1645.64, "end": 1645.96, "word": " تربية", "probability": 0.93505859375}, {"start": 1645.96, "end": 1646.08, "word": " أو", "probability": 0.427734375}, {"start": 1646.08, "end": 1646.46, "word": " تسعة", "probability": 0.90966796875}, {"start": 1646.46, "end": 1646.62, "word": " مع", "probability": 0.96875}, {"start": 1646.62, "end": 1647.06, "word": " تلاتة", "probability": 0.9542236328125}, {"start": 1647.06, "end": 1647.28, "word": " بيبقى", "probability": 0.637548828125}, {"start": 1647.28, "end": 1648.1, "word": " الجداش", "probability": 0.77734375}, {"start": 1648.1, "end": 1649.26, "word": " تلاتة", "probability": 0.9405517578125}, {"start": 1649.26, "end": 1649.8, "word": " اذا", "probability": 0.27423095703125}, {"start": 1649.8, "end": 1650.08, "word": " واحد", "probability": 0.972900390625}, {"start": 1650.08, "end": 1650.4, "word": " تاني", "probability": 0.586669921875}, {"start": 1650.4, "end": 1650.68, "word": " جالي", "probability": 0.80322265625}, {"start": 1650.68, "end": 1650.98, "word": " بدل", "probability": 0.984130859375}, {"start": 1650.98, "end": 1651.14, "word": " ما", "probability": 0.9482421875}, {"start": 1651.14, "end": 1651.74, "word": " سويتك", "probability": 0.9398193359375}, {"start": 1651.74, "end": 1652.32, "word": " مكان", "probability": 0.9658203125}, {"start": 1652.32, "end": 1652.66, "word": " من", "probability": 0.98681640625}, {"start": 1652.66, "end": 1653.18, "word": " هنا", "probability": 0.99462890625}, {"start": 1653.18, "end": 1654.12, "word": " زي", "probability": 0.906494140625}, {"start": 1654.12, "end": 1654.28, "word": " ما", "probability": 0.99072265625}, {"start": 1654.28, "end": 1654.68, "word": " أخدنا", "probability": 0.890380859375}, {"start": 1654.68, "end": 1654.88, "word": " في", "probability": 0.95654296875}, {"start": 1654.88, "end": 1655.28, "word": " calculus", "probability": 0.6796875}, {"start": 1655.28, "end": 1655.72, "word": " A", "probability": 0.387939453125}, {"start": 1655.72, "end": 1655.98, "word": " وفي", "probability": 0.832275390625}, {"start": 1655.98, "end": 1656.56, "word": " الثانوية", "probability": 0.8998046875}, {"start": 1656.56, "end": 1657.28, "word": " العامة", "probability": 0.9913736979166666}, {"start": 1657.28, "end": 1657.94, "word": " هذه", "probability": 0.57275390625}, {"start": 1657.94, "end": 1658.12, "word": " ال", "probability": 0.7353515625}, {"start": 1658.12, "end": 1658.56, "word": " polynomial", "probability": 0.72705078125}, {"start": 1658.56, "end": 1658.84, "word": " و", "probability": 0.61376953125}, {"start": 1658.84, "end": 1659.02, "word": " هذه", "probability": 0.80224609375}, {"start": 1659.02, "end": 1659.18, "word": " ال", "probability": 0.76123046875}, {"start": 1659.18, "end": 1659.66, "word": " polynomial", "probability": 0.91796875}, {"start": 1659.66, "end": 1659.98, "word": " يبقى", "probability": 0.8486328125}, {"start": 1659.98, "end": 1660.38, "word": " بنجسم", "probability": 0.6119791666666666}, {"start": 1660.38, "end": 1660.66, "word": " كل", "probability": 0.98876953125}, {"start": 1660.66, "end": 1660.86, "word": " من", "probability": 0.744140625}, {"start": 1660.86, "end": 1661.26, "word": " البصر", "probability": 0.6736653645833334}, {"start": 1661.26, "end": 1661.44, "word": " ومن", "probability": 0.7236328125}, {"start": 1661.44, "end": 1661.98, "word": " القعام", "probability": 0.6123046875}, {"start": 1661.98, "end": 1662.54, "word": " على", "probability": 0.77294921875}, {"start": 1662.54, "end": 1662.8, "word": " X", "probability": 0.95166015625}, {"start": 1662.8, "end": 1663.36, "word": " المرفوعة", "probability": 0.9578857421875}, {"start": 1663.36, "end": 1663.86, "word": " لأكبر", "probability": 0.79827880859375}, {"start": 1663.86, "end": 1664.16, "word": " أُس", "probability": 0.6587727864583334}, {"start": 1664.16, "end": 1664.3, "word": " في", "probability": 0.93212890625}, {"start": 1664.3, "end": 1664.74, "word": " المقام", "probability": 0.99267578125}, {"start": 1664.74, "end": 1664.94, "word": " لو", "probability": 0.73046875}, {"start": 1664.94, "end": 1665.36, "word": " عملها", "probability": 0.9630533854166666}, {"start": 1665.36, "end": 1665.56, "word": " حد", "probability": 0.901611328125}, {"start": 1665.56, "end": 1665.84, "word": " بقدر", "probability": 0.5939127604166666}, {"start": 1665.84, "end": 1666.04, "word": " يقول", "probability": 0.96435546875}, {"start": 1666.04, "end": 1666.14, "word": " إنه", "probability": 0.62451171875}, {"start": 1666.14, "end": 1666.54, "word": " غلط", "probability": 0.98388671875}, {"start": 1666.54, "end": 1667.3, "word": " لأ", "probability": 0.5013427734375}, {"start": 1667.3, "end": 1667.42, "word": " يا", "probability": 0.87158203125}, {"start": 1667.42, "end": 1667.62, "word": " عم", "probability": 0.9794921875}, {"start": 1667.62, "end": 1667.98, "word": " صح", "probability": 0.96435546875}, {"start": 1667.98, "end": 1668.34, "word": " مدام", "probability": 0.7568359375}, {"start": 1668.34, "end": 1668.82, "word": " أخدناها", "probability": 0.864453125}, {"start": 1668.82, "end": 1669.12, "word": " أجابة", "probability": 0.7130126953125}, {"start": 1669.12, "end": 1669.52, "word": " لهك", "probability": 0.4764404296875}, {"start": 1669.52, "end": 1670.12, "word": " تشتغلي", "probability": 0.90859375}, {"start": 1670.12, "end": 1670.32, "word": " بها", "probability": 0.905029296875}, {"start": 1670.32, "end": 1670.5, "word": " مع", "probability": 0.73583984375}, {"start": 1670.5, "end": 1670.68, "word": " أن", "probability": 0.5927734375}, {"start": 1670.68, "end": 1671.16, "word": " مانع", "probability": 0.7864583333333334}], "temperature": 1.0}, {"id": 74, "seek": 168632, "start": 1671.38, "end": 1686.32, "text": "يبقى لو جسمنا كله على اكسا كيب بصير ثلاثة على واحد E على اكسا كيب ال limit لابزي ربما ثلاثة على واحد اللي هو جداش ثلاثة و احنا طلعناها هنا جداش ثلاثة طب حتى اللي انا احنا عملنا", "tokens": [1829, 3555, 4587, 7578, 45164, 10874, 38251, 8315, 28242, 3224, 15844, 1975, 4117, 3794, 995, 9122, 1829, 3555, 4724, 9381, 13546, 38637, 1211, 5718, 104, 3660, 15844, 36764, 24401, 462, 15844, 1975, 4117, 3794, 995, 9122, 1829, 3555, 2423, 4948, 5296, 16758, 11622, 1829, 12602, 3555, 15042, 38637, 1211, 5718, 104, 3660, 15844, 36764, 24401, 13672, 1829, 31439, 10874, 3215, 33599, 38637, 1211, 5718, 104, 3660, 4032, 1975, 5016, 8315, 23032, 1211, 3615, 8315, 11296, 34105, 10874, 3215, 33599, 38637, 1211, 5718, 104, 3660, 23032, 3555, 11331, 49975, 13672, 1829, 1975, 8315, 1975, 5016, 8315, 6225, 42213, 8315], "avg_logprob": -0.2689393837042529, "compression_ratio": 1.9556962025316456, "no_speech_prob": 0.0, "words": [{"start": 1671.38, "end": 1671.92, "word": "يبقى", "probability": 0.6976318359375}, {"start": 1671.92, "end": 1672.12, "word": " لو", "probability": 0.93896484375}, {"start": 1672.12, "end": 1673.04, "word": " جسمنا", "probability": 0.94580078125}, {"start": 1673.04, "end": 1673.5, "word": " كله", "probability": 0.818359375}, {"start": 1673.5, "end": 1673.6, "word": " على", "probability": 0.86669921875}, {"start": 1673.6, "end": 1673.9, "word": " اكسا", "probability": 0.7293701171875}, {"start": 1673.9, "end": 1674.14, "word": " كيب", "probability": 0.6952311197916666}, {"start": 1674.14, "end": 1674.4, "word": " بصير", "probability": 0.586181640625}, {"start": 1674.4, "end": 1675.18, "word": " ثلاثة", "probability": 0.855029296875}, {"start": 1675.18, "end": 1675.76, "word": " على", "probability": 0.76123046875}, {"start": 1675.76, "end": 1676.48, "word": " واحد", "probability": 0.987060546875}, {"start": 1676.48, "end": 1676.96, "word": " E", "probability": 0.2529296875}, {"start": 1676.96, "end": 1677.22, "word": " على", "probability": 0.7275390625}, {"start": 1677.22, "end": 1677.64, "word": " اكسا", "probability": 0.9124755859375}, {"start": 1677.64, "end": 1677.88, "word": " كيب", "probability": 0.9928385416666666}, {"start": 1677.88, "end": 1677.98, "word": " ال", "probability": 0.249755859375}, {"start": 1677.98, "end": 1678.2, "word": " limit", "probability": 0.66796875}, {"start": 1678.2, "end": 1678.68, "word": " لابزي", "probability": 0.455841064453125}, {"start": 1678.68, "end": 1678.9, "word": " ربما", "probability": 0.412841796875}, {"start": 1678.9, "end": 1679.38, "word": " ثلاثة", "probability": 0.919140625}, {"start": 1679.38, "end": 1679.48, "word": " على", "probability": 0.7880859375}, {"start": 1679.48, "end": 1679.68, "word": " واحد", "probability": 0.988525390625}, {"start": 1679.68, "end": 1679.8, "word": " اللي", "probability": 0.78759765625}, {"start": 1679.8, "end": 1679.9, "word": " هو", "probability": 0.9677734375}, {"start": 1679.9, "end": 1680.46, "word": " جداش", "probability": 0.8624674479166666}, {"start": 1680.46, "end": 1681.42, "word": " ثلاثة", "probability": 0.9185546875}, {"start": 1681.42, "end": 1681.54, "word": " و", "probability": 0.74169921875}, {"start": 1681.54, "end": 1681.72, "word": " احنا", "probability": 0.83056640625}, {"start": 1681.72, "end": 1682.28, "word": " طلعناها", "probability": 0.933984375}, {"start": 1682.28, "end": 1682.5, "word": " هنا", "probability": 0.91064453125}, {"start": 1682.5, "end": 1683.16, "word": " جداش", "probability": 0.9778645833333334}, {"start": 1683.16, "end": 1684.26, "word": " ثلاثة", "probability": 0.91083984375}, {"start": 1684.26, "end": 1684.7, "word": " طب", "probability": 0.769287109375}, {"start": 1684.7, "end": 1685.1, "word": " حتى", "probability": 0.937255859375}, {"start": 1685.1, "end": 1685.26, "word": " اللي", "probability": 0.758056640625}, {"start": 1685.26, "end": 1685.4, "word": " انا", "probability": 0.6290283203125}, {"start": 1685.4, "end": 1685.62, "word": " احنا", "probability": 0.9601236979166666}, {"start": 1685.62, "end": 1686.32, "word": " عملنا", "probability": 0.9866536458333334}], "temperature": 1.0}, {"id": 75, "seek": 171266, "start": 1687.08, "end": 1712.66, "text": "ثلاث خطوات وبنروح للخطوة الرابعة يبقى بادي بقوله sir limit لما ال X بدها تروح لل infinity لراس المسألة X تكيب زائد E أس واحد على لإن ال X بده يساوي جداش E تكيب طيب السؤال الخامس", "tokens": [12984, 1211, 5718, 104, 16490, 9566, 2407, 9307, 46599, 1863, 32887, 5016, 24976, 9778, 9566, 2407, 3660, 34892, 16758, 27884, 7251, 3555, 4587, 7578, 4724, 995, 16254, 4724, 39648, 3224, 4735, 4948, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 24976, 13202, 5296, 2288, 32277, 9673, 3794, 10721, 37977, 1783, 6055, 4117, 1829, 3555, 30767, 16373, 3215, 462, 5551, 3794, 36764, 24401, 15844, 5296, 28814, 1863, 2423, 1783, 47525, 3224, 7251, 3794, 995, 45865, 10874, 3215, 33599, 462, 6055, 4117, 1829, 3555, 23032, 1829, 3555, 21136, 33604, 6027, 33962, 10943, 3794], "avg_logprob": -0.2528561879229802, "compression_ratio": 1.596774193548387, "no_speech_prob": 0.0, "words": [{"start": 1687.08, "end": 1687.86, "word": "ثلاث", "probability": 0.76708984375}, {"start": 1687.86, "end": 1688.58, "word": " خطوات", "probability": 0.98046875}, {"start": 1688.58, "end": 1689.62, "word": " وبنروح", "probability": 0.5940704345703125}, {"start": 1689.62, "end": 1690.34, "word": " للخطوة", "probability": 0.91552734375}, {"start": 1690.34, "end": 1690.98, "word": " الرابعة", "probability": 0.9609375}, {"start": 1690.98, "end": 1691.68, "word": " يبقى", "probability": 0.7637939453125}, {"start": 1691.68, "end": 1692.04, "word": " بادي", "probability": 0.75341796875}, {"start": 1692.04, "end": 1693.0, "word": " بقوله", "probability": 0.7412923177083334}, {"start": 1693.0, "end": 1693.52, "word": " sir", "probability": 0.11944580078125}, {"start": 1693.52, "end": 1694.74, "word": " limit", "probability": 0.89111328125}, {"start": 1694.74, "end": 1695.72, "word": " لما", "probability": 0.8994140625}, {"start": 1695.72, "end": 1695.94, "word": " ال", "probability": 0.9462890625}, {"start": 1695.94, "end": 1696.28, "word": " X", "probability": 0.62109375}, {"start": 1696.28, "end": 1696.8, "word": " بدها", "probability": 0.53564453125}, {"start": 1696.8, "end": 1697.42, "word": " تروح", "probability": 0.99658203125}, {"start": 1697.42, "end": 1697.7, "word": " لل", "probability": 0.78125}, {"start": 1697.7, "end": 1698.44, "word": " infinity", "probability": 0.62744140625}, {"start": 1698.44, "end": 1699.7, "word": " لراس", "probability": 0.7667643229166666}, {"start": 1699.7, "end": 1700.58, "word": " المسألة", "probability": 0.9224853515625}, {"start": 1700.58, "end": 1700.9, "word": " X", "probability": 0.87548828125}, {"start": 1700.9, "end": 1701.66, "word": " تكيب", "probability": 0.9056396484375}, {"start": 1701.66, "end": 1702.48, "word": " زائد", "probability": 0.8463541666666666}, {"start": 1702.48, "end": 1702.86, "word": " E", "probability": 0.60107421875}, {"start": 1702.86, "end": 1703.64, "word": " أس", "probability": 0.66748046875}, {"start": 1703.64, "end": 1704.36, "word": " واحد", "probability": 0.98486328125}, {"start": 1704.36, "end": 1705.08, "word": " على", "probability": 0.80224609375}, {"start": 1705.08, "end": 1705.48, "word": " لإن", "probability": 0.7379557291666666}, {"start": 1705.48, "end": 1705.72, "word": " ال", "probability": 0.89892578125}, {"start": 1705.72, "end": 1706.16, "word": " X", "probability": 0.9814453125}, {"start": 1706.16, "end": 1706.78, "word": " بده", "probability": 0.725341796875}, {"start": 1706.78, "end": 1707.12, "word": " يساوي", "probability": 0.9010009765625}, {"start": 1707.12, "end": 1707.84, "word": " جداش", "probability": 0.666748046875}, {"start": 1707.84, "end": 1708.66, "word": " E", "probability": 0.8427734375}, {"start": 1708.66, "end": 1709.7, "word": " تكيب", "probability": 0.994384765625}, {"start": 1709.7, "end": 1711.48, "word": " طيب", "probability": 0.8662109375}, {"start": 1711.48, "end": 1712.0, "word": " السؤال", "probability": 0.8513997395833334}, {"start": 1712.0, "end": 1712.66, "word": " الخامس", "probability": 0.9899088541666666}], "temperature": 1.0}, {"id": 76, "seek": 173680, "start": 1713.72, "end": 1736.8, "text": "سؤال الخامس بيقول ما يأتي بدنا limit لمن؟ لما ال X بدها تروح لل zero من جهة اليمين ل X مرفوعة لل أس صين ال X بدنا نحط مكان X Zero، بصير Zero أس", "tokens": [3794, 33604, 6027, 33962, 10943, 3794, 4724, 1829, 39648, 19446, 7251, 10721, 31371, 47525, 8315, 4948, 5296, 27842, 22807, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 24976, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 5296, 1783, 3714, 28480, 2407, 27884, 24976, 5551, 3794, 20328, 9957, 2423, 1783, 47525, 8315, 8717, 5016, 9566, 3714, 41361, 1783, 17182, 12399, 4724, 9381, 13546, 17182, 5551, 3794], "avg_logprob": -0.2719216320052076, "compression_ratio": 1.5064935064935066, "no_speech_prob": 0.0, "words": [{"start": 1713.72, "end": 1714.26, "word": "سؤال", "probability": 0.8986002604166666}, {"start": 1714.26, "end": 1715.04, "word": " الخامس", "probability": 0.9303385416666666}, {"start": 1715.04, "end": 1716.24, "word": " بيقول", "probability": 0.77880859375}, {"start": 1716.24, "end": 1716.54, "word": " ما", "probability": 0.89013671875}, {"start": 1716.54, "end": 1717.2, "word": " يأتي", "probability": 0.8660481770833334}, {"start": 1717.2, "end": 1718.9, "word": " بدنا", "probability": 0.68701171875}, {"start": 1718.9, "end": 1719.48, "word": " limit", "probability": 0.87451171875}, {"start": 1719.48, "end": 1721.2, "word": " لمن؟", "probability": 0.6100260416666666}, {"start": 1721.2, "end": 1721.86, "word": " لما", "probability": 0.935546875}, {"start": 1721.86, "end": 1722.12, "word": " ال", "probability": 0.94970703125}, {"start": 1722.12, "end": 1722.44, "word": " X", "probability": 0.611328125}, {"start": 1722.44, "end": 1722.96, "word": " بدها", "probability": 0.981201171875}, {"start": 1722.96, "end": 1723.46, "word": " تروح", "probability": 0.9866536458333334}, {"start": 1723.46, "end": 1723.78, "word": " لل", "probability": 0.384033203125}, {"start": 1723.78, "end": 1724.16, "word": " zero", "probability": 0.333984375}, {"start": 1724.16, "end": 1724.52, "word": " من", "probability": 0.9912109375}, {"start": 1724.52, "end": 1725.1, "word": " جهة", "probability": 0.984375}, {"start": 1725.1, "end": 1726.02, "word": " اليمين", "probability": 0.8948567708333334}, {"start": 1726.02, "end": 1726.76, "word": " ل", "probability": 0.491455078125}, {"start": 1726.76, "end": 1727.26, "word": " X", "probability": 0.85498046875}, {"start": 1727.26, "end": 1728.2, "word": " مرفوعة", "probability": 0.9332275390625}, {"start": 1728.2, "end": 1728.54, "word": " لل", "probability": 0.9111328125}, {"start": 1728.54, "end": 1729.02, "word": " أس", "probability": 0.652099609375}, {"start": 1729.02, "end": 1729.94, "word": " صين", "probability": 0.5535888671875}, {"start": 1729.94, "end": 1730.18, "word": " ال", "probability": 0.61767578125}, {"start": 1730.18, "end": 1730.54, "word": " X", "probability": 0.97216796875}, {"start": 1730.54, "end": 1733.68, "word": " بدنا", "probability": 0.84912109375}, {"start": 1733.68, "end": 1734.0, "word": " نحط", "probability": 0.9583333333333334}, {"start": 1734.0, "end": 1734.34, "word": " مكان", "probability": 0.989990234375}, {"start": 1734.34, "end": 1734.64, "word": " X", "probability": 0.9365234375}, {"start": 1734.64, "end": 1735.26, "word": " Zero،", "probability": 0.22515869140625}, {"start": 1735.26, "end": 1735.6, "word": " بصير", "probability": 0.7168782552083334}, {"start": 1735.6, "end": 1736.02, "word": " Zero", "probability": 0.91796875}, {"start": 1736.02, "end": 1736.8, "word": " أس", "probability": 0.903564453125}], "temperature": 1.0}, {"id": 77, "seek": 175723, "start": 1737.55, "end": 1757.23, "text": "0 للحالات التانية اللي ماحلناش عليها ولا سؤال يبقى هذه 0 أُس 0 كويس يبقى بدنا نروح للأربع خطوات يبقى let ال F of X يساوي X أُصين ال X هذه الخطوة الأولى", "tokens": [15, 24976, 5016, 6027, 9307, 16712, 7649, 10632, 13672, 1829, 19446, 5016, 1211, 1863, 33599, 25894, 11296, 49429, 8608, 33604, 6027, 7251, 3555, 4587, 7578, 29538, 1958, 5551, 10859, 3794, 1958, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 32887, 5016, 24976, 10721, 25513, 3615, 16490, 9566, 2407, 9307, 7251, 3555, 4587, 7578, 718, 2423, 479, 295, 1783, 7251, 3794, 995, 45865, 1783, 5551, 10859, 9381, 9957, 2423, 1783, 29538, 33962, 9566, 2407, 3660, 16247, 12610, 7578], "avg_logprob": -0.24980467706918716, "compression_ratio": 1.5449101796407185, "no_speech_prob": 0.0, "words": [{"start": 1737.55, "end": 1738.09, "word": "0", "probability": 0.1417236328125}, {"start": 1738.09, "end": 1739.11, "word": " للحالات", "probability": 0.717529296875}, {"start": 1739.11, "end": 1739.73, "word": " التانية", "probability": 0.9728190104166666}, {"start": 1739.73, "end": 1740.33, "word": " اللي", "probability": 0.45477294921875}, {"start": 1740.33, "end": 1740.97, "word": " ماحلناش", "probability": 0.785009765625}, {"start": 1740.97, "end": 1741.47, "word": " عليها", "probability": 0.982177734375}, {"start": 1741.47, "end": 1741.83, "word": " ولا", "probability": 0.93603515625}, {"start": 1741.83, "end": 1742.59, "word": " سؤال", "probability": 0.99072265625}, {"start": 1742.59, "end": 1743.37, "word": " يبقى", "probability": 0.9345703125}, {"start": 1743.37, "end": 1743.69, "word": " هذه", "probability": 0.61279296875}, {"start": 1743.69, "end": 1744.29, "word": " 0", "probability": 0.34716796875}, {"start": 1744.29, "end": 1744.81, "word": " أُس", "probability": 0.61669921875}, {"start": 1744.81, "end": 1745.27, "word": " 0", "probability": 0.93310546875}, {"start": 1745.27, "end": 1746.37, "word": " كويس", "probability": 0.7430826822916666}, {"start": 1746.37, "end": 1746.83, "word": " يبقى", "probability": 0.9669189453125}, {"start": 1746.83, "end": 1747.15, "word": " بدنا", "probability": 0.806396484375}, {"start": 1747.15, "end": 1747.91, "word": " نروح", "probability": 0.9934895833333334}, {"start": 1747.91, "end": 1749.01, "word": " للأربع", "probability": 0.8646240234375}, {"start": 1749.01, "end": 1749.71, "word": " خطوات", "probability": 0.9791259765625}, {"start": 1749.71, "end": 1750.89, "word": " يبقى", "probability": 0.9830322265625}, {"start": 1750.89, "end": 1751.27, "word": " let", "probability": 0.78173828125}, {"start": 1751.27, "end": 1752.09, "word": " ال", "probability": 0.6865234375}, {"start": 1752.09, "end": 1752.43, "word": " F", "probability": 0.53076171875}, {"start": 1752.43, "end": 1752.81, "word": " of", "probability": 0.6826171875}, {"start": 1752.81, "end": 1753.23, "word": " X", "probability": 0.93017578125}, {"start": 1753.23, "end": 1754.05, "word": " يساوي", "probability": 0.81549072265625}, {"start": 1754.05, "end": 1754.53, "word": " X", "probability": 0.97509765625}, {"start": 1754.53, "end": 1755.43, "word": " أُصين", "probability": 0.466888427734375}, {"start": 1755.43, "end": 1755.61, "word": " ال", "probability": 0.70654296875}, {"start": 1755.61, "end": 1755.89, "word": " X", "probability": 0.8466796875}, {"start": 1755.89, "end": 1756.25, "word": " هذه", "probability": 0.5048828125}, {"start": 1756.25, "end": 1756.81, "word": " الخطوة", "probability": 0.9755859375}, {"start": 1756.81, "end": 1757.23, "word": " الأولى", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 78, "seek": 178618, "start": 1757.72, "end": 1786.18, "text": "الخطوة التانية بدك تاخد limit للطرفين يبقى limit ال f of x بده يساوي ال sign ال x في limit ال x الخطوة التالتة بدك تاخد limit لlimit ال f of x لما ال x بده يروح ل zero من جهة اليمين يساوي ال limit لما ال x بدها تروح ل zero من جهة اليمين ل sign ال x في limit ال x", "tokens": [6027, 9778, 9566, 2407, 3660, 16712, 7649, 10632, 47525, 4117, 6055, 47283, 3215, 4948, 24976, 9566, 28480, 9957, 7251, 3555, 4587, 7578, 4948, 2423, 283, 295, 2031, 47525, 3224, 7251, 3794, 995, 45865, 2423, 1465, 2423, 2031, 8978, 4948, 2423, 2031, 33962, 9566, 2407, 3660, 16712, 6027, 2655, 3660, 47525, 4117, 6055, 47283, 3215, 4948, 5296, 4197, 270, 2423, 283, 295, 2031, 5296, 15042, 2423, 2031, 47525, 3224, 7251, 32887, 5016, 5296, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 7251, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 2031, 47525, 11296, 6055, 32887, 5016, 5296, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 5296, 1465, 2423, 2031, 8978, 4948, 2423, 2031], "avg_logprob": -0.17422566371681417, "compression_ratio": 2.4207317073170733, "no_speech_prob": 0.0, "words": [{"start": 1757.72, "end": 1758.36, "word": "الخطوة", "probability": 0.86982421875}, {"start": 1758.36, "end": 1758.68, "word": " التانية", "probability": 0.8370768229166666}, {"start": 1758.68, "end": 1758.98, "word": " بدك", "probability": 0.6502685546875}, {"start": 1758.98, "end": 1759.38, "word": " تاخد", "probability": 0.96337890625}, {"start": 1759.38, "end": 1759.7, "word": " limit", "probability": 0.69921875}, {"start": 1759.7, "end": 1760.88, "word": " للطرفين", "probability": 0.8543701171875}, {"start": 1760.88, "end": 1761.78, "word": " يبقى", "probability": 0.8580322265625}, {"start": 1761.78, "end": 1762.12, "word": " limit", "probability": 0.470703125}, {"start": 1762.12, "end": 1762.42, "word": " ال", "probability": 0.3095703125}, {"start": 1762.42, "end": 1762.78, "word": " f", "probability": 0.32861328125}, {"start": 1762.78, "end": 1763.12, "word": " of", "probability": 0.6455078125}, {"start": 1763.12, "end": 1763.46, "word": " x", "probability": 0.94091796875}, {"start": 1763.46, "end": 1764.18, "word": " بده", "probability": 0.388427734375}, {"start": 1764.18, "end": 1764.72, "word": " يساوي", "probability": 0.9267578125}, {"start": 1764.72, "end": 1764.98, "word": " ال", "probability": 0.556640625}, {"start": 1764.98, "end": 1765.4, "word": " sign", "probability": 0.377685546875}, {"start": 1765.4, "end": 1765.7, "word": " ال", "probability": 0.61474609375}, {"start": 1765.7, "end": 1766.22, "word": " x", "probability": 0.90673828125}, {"start": 1766.22, "end": 1766.52, "word": " في", "probability": 0.56640625}, {"start": 1766.52, "end": 1766.78, "word": " limit", "probability": 0.297119140625}, {"start": 1766.78, "end": 1767.04, "word": " ال", "probability": 0.9658203125}, {"start": 1767.04, "end": 1767.34, "word": " x", "probability": 0.90771484375}, {"start": 1767.34, "end": 1768.46, "word": " الخطوة", "probability": 0.981689453125}, {"start": 1768.46, "end": 1769.06, "word": " التالتة", "probability": 0.9654541015625}, {"start": 1769.06, "end": 1769.52, "word": " بدك", "probability": 0.962890625}, {"start": 1769.52, "end": 1770.0, "word": " تاخد", "probability": 0.9949544270833334}, {"start": 1770.0, "end": 1770.7, "word": " limit", "probability": 0.98828125}, {"start": 1770.7, "end": 1771.74, "word": " لlimit", "probability": 0.86083984375}, {"start": 1771.74, "end": 1771.96, "word": " ال", "probability": 0.79052734375}, {"start": 1771.96, "end": 1772.36, "word": " f", "probability": 0.93212890625}, {"start": 1772.36, "end": 1772.7, "word": " of", "probability": 0.9814453125}, {"start": 1772.7, "end": 1773.14, "word": " x", "probability": 0.99365234375}, {"start": 1773.14, "end": 1773.56, "word": " لما", "probability": 0.947021484375}, {"start": 1773.56, "end": 1773.74, "word": " ال", "probability": 0.9677734375}, {"start": 1773.74, "end": 1774.02, "word": " x", "probability": 0.97216796875}, {"start": 1774.02, "end": 1774.5, "word": " بده", "probability": 0.84716796875}, {"start": 1774.5, "end": 1774.7, "word": " يروح", "probability": 0.990234375}, {"start": 1774.7, "end": 1774.9, "word": " ل", "probability": 0.583984375}, {"start": 1774.9, "end": 1775.44, "word": " zero", "probability": 0.314208984375}, {"start": 1775.44, "end": 1776.18, "word": " من", "probability": 0.98828125}, {"start": 1776.18, "end": 1776.76, "word": " جهة", "probability": 0.97021484375}, {"start": 1776.76, "end": 1777.4, "word": " اليمين", "probability": 0.85791015625}, {"start": 1777.4, "end": 1778.52, "word": " يساوي", "probability": 0.94677734375}, {"start": 1778.52, "end": 1778.7, "word": " ال", "probability": 0.74853515625}, {"start": 1778.7, "end": 1779.1, "word": " limit", "probability": 0.9892578125}, {"start": 1779.1, "end": 1779.58, "word": " لما", "probability": 0.9658203125}, {"start": 1779.58, "end": 1779.78, "word": " ال", "probability": 0.9833984375}, {"start": 1779.78, "end": 1780.12, "word": " x", "probability": 0.98291015625}, {"start": 1780.12, "end": 1780.54, "word": " بدها", "probability": 0.871826171875}, {"start": 1780.54, "end": 1780.96, "word": " تروح", "probability": 0.9938151041666666}, {"start": 1780.96, "end": 1781.14, "word": " ل", "probability": 0.94384765625}, {"start": 1781.14, "end": 1781.52, "word": " zero", "probability": 0.859375}, {"start": 1781.52, "end": 1781.74, "word": " من", "probability": 0.99169921875}, {"start": 1781.74, "end": 1782.18, "word": " جهة", "probability": 0.9930013020833334}, {"start": 1782.18, "end": 1782.82, "word": " اليمين", "probability": 0.8782552083333334}, {"start": 1782.82, "end": 1783.44, "word": " ل", "probability": 0.97265625}, {"start": 1783.44, "end": 1784.06, "word": " sign", "probability": 0.8515625}, {"start": 1784.06, "end": 1784.38, "word": " ال", "probability": 0.97119140625}, {"start": 1784.38, "end": 1784.82, "word": " x", "probability": 0.98583984375}, {"start": 1784.82, "end": 1785.08, "word": " في", "probability": 0.982421875}, {"start": 1785.08, "end": 1785.44, "word": " limit", "probability": 0.9755859375}, {"start": 1785.44, "end": 1785.76, "word": " ال", "probability": 0.974609375}, {"start": 1785.76, "end": 1786.18, "word": " x", "probability": 0.970703125}], "temperature": 1.0}, {"id": 79, "seek": 180886, "start": 1787.08, "end": 1808.86, "text": "نعوض تعويضا مباشرا sign is zero الان لن zero من جهة اليمين اللي منزل علوان على سالب infinity يبقى zero في سالب infinity والله zero في infinity اتنين كمية غير معينة", "tokens": [1863, 3615, 2407, 11242, 37279, 45865, 11242, 995, 3714, 3555, 33599, 23557, 1465, 307, 4018, 2423, 7649, 5296, 1863, 4018, 9154, 10874, 3224, 3660, 45595, 2304, 9957, 13672, 1829, 9154, 11622, 1211, 11203, 2407, 7649, 15844, 8608, 6027, 3555, 13202, 7251, 3555, 4587, 7578, 4018, 8978, 8608, 6027, 3555, 13202, 16070, 43761, 4018, 8978, 13202, 1975, 2655, 1863, 9957, 9122, 2304, 10632, 32771, 13546, 20449, 9957, 3660], "avg_logprob": -0.34788603642407584, "compression_ratio": 1.6025641025641026, "no_speech_prob": 0.0, "words": [{"start": 1787.08, "end": 1787.88, "word": "نعوض", "probability": 0.591552734375}, {"start": 1787.88, "end": 1788.44, "word": " تعويضا", "probability": 0.84521484375}, {"start": 1788.44, "end": 1789.2, "word": " مباشرا", "probability": 0.941650390625}, {"start": 1789.2, "end": 1789.7, "word": " sign", "probability": 0.176025390625}, {"start": 1789.7, "end": 1790.0, "word": " is", "probability": 0.434814453125}, {"start": 1790.0, "end": 1790.6, "word": " zero", "probability": 0.748046875}, {"start": 1790.6, "end": 1792.7, "word": " الان", "probability": 0.64453125}, {"start": 1792.7, "end": 1793.64, "word": " لن", "probability": 0.496551513671875}, {"start": 1793.64, "end": 1794.28, "word": " zero", "probability": 0.291259765625}, {"start": 1794.28, "end": 1794.58, "word": " من", "probability": 0.9794921875}, {"start": 1794.58, "end": 1795.04, "word": " جهة", "probability": 0.9542643229166666}, {"start": 1795.04, "end": 1795.62, "word": " اليمين", "probability": 0.7472330729166666}, {"start": 1795.62, "end": 1795.82, "word": " اللي", "probability": 0.47943115234375}, {"start": 1795.82, "end": 1796.4, "word": " منزل", "probability": 0.5491536458333334}, {"start": 1796.4, "end": 1797.04, "word": " علوان", "probability": 0.6500651041666666}, {"start": 1797.04, "end": 1797.8, "word": " على", "probability": 0.7841796875}, {"start": 1797.8, "end": 1798.44, "word": " سالب", "probability": 0.8076171875}, {"start": 1798.44, "end": 1799.3, "word": " infinity", "probability": 0.724609375}, {"start": 1799.3, "end": 1800.54, "word": " يبقى", "probability": 0.9493408203125}, {"start": 1800.54, "end": 1801.2, "word": " zero", "probability": 0.70654296875}, {"start": 1801.2, "end": 1801.4, "word": " في", "probability": 0.91748046875}, {"start": 1801.4, "end": 1801.84, "word": " سالب", "probability": 0.9456380208333334}, {"start": 1801.84, "end": 1802.14, "word": " infinity", "probability": 0.77685546875}, {"start": 1802.14, "end": 1804.84, "word": " والله", "probability": 0.59429931640625}, {"start": 1804.84, "end": 1805.16, "word": " zero", "probability": 0.5927734375}, {"start": 1805.16, "end": 1805.36, "word": " في", "probability": 0.953125}, {"start": 1805.36, "end": 1805.88, "word": " infinity", "probability": 0.82421875}, {"start": 1805.88, "end": 1806.76, "word": " اتنين", "probability": 0.8870849609375}, {"start": 1806.76, "end": 1807.6, "word": " كمية", "probability": 0.9757486979166666}, {"start": 1807.6, "end": 1808.14, "word": " غير", "probability": 0.993896484375}, {"start": 1808.14, "end": 1808.86, "word": " معينة", "probability": 0.9676106770833334}], "temperature": 1.0}, {"id": 80, "seek": 183402, "start": 1809.08, "end": 1834.02, "text": "طيب استخدم صلاحياتك limit لما ال X بده يروح ل zero مشان تحسب هذه ال limit طب ايش صلاحياتي؟ صلاحياتي اشتغل شغل رياضي صحيح ماحدش يقدر يقوللي عليه خطأ يعني بده احول المسألة الى zero على zero او infinity على infinity ماذا تقترحون ايه يا ابنك؟", "tokens": [9566, 1829, 3555, 44713, 9778, 40448, 20328, 15040, 5016, 1829, 9307, 4117, 4948, 5296, 15042, 2423, 1783, 47525, 3224, 7251, 32887, 5016, 5296, 4018, 37893, 7649, 6055, 5016, 35457, 29538, 2423, 4948, 23032, 3555, 1975, 1829, 8592, 20328, 15040, 5016, 1829, 9307, 1829, 22807, 20328, 15040, 5016, 1829, 9307, 1829, 1975, 8592, 2655, 17082, 1211, 13412, 17082, 1211, 12602, 1829, 46958, 1829, 20328, 5016, 1829, 5016, 19446, 24401, 8592, 7251, 28543, 2288, 7251, 39648, 20292, 47356, 16490, 9566, 10721, 37495, 22653, 47525, 3224, 1975, 5016, 12610, 9673, 3794, 10721, 37977, 2423, 7578, 4018, 15844, 4018, 1975, 2407, 13202, 15844, 13202, 3714, 45636, 995, 6055, 38149, 2288, 5016, 11536, 1975, 1829, 3224, 35186, 48127, 1863, 4117, 22807], "avg_logprob": -0.18095619046789968, "compression_ratio": 1.757847533632287, "no_speech_prob": 0.0, "words": [{"start": 1809.08, "end": 1809.6, "word": "طيب", "probability": 0.6706136067708334}, {"start": 1809.6, "end": 1810.32, "word": " استخدم", "probability": 0.9168294270833334}, {"start": 1810.32, "end": 1811.48, "word": " صلاحياتك", "probability": 0.9061686197916666}, {"start": 1811.48, "end": 1812.24, "word": " limit", "probability": 0.63720703125}, {"start": 1812.24, "end": 1813.24, "word": " لما", "probability": 0.895751953125}, {"start": 1813.24, "end": 1813.4, "word": " ال", "probability": 0.89453125}, {"start": 1813.4, "end": 1813.72, "word": " X", "probability": 0.7099609375}, {"start": 1813.72, "end": 1814.1, "word": " بده", "probability": 0.72412109375}, {"start": 1814.1, "end": 1814.56, "word": " يروح", "probability": 0.9729817708333334}, {"start": 1814.56, "end": 1814.74, "word": " ل", "probability": 0.62255859375}, {"start": 1814.74, "end": 1815.24, "word": " zero", "probability": 0.2103271484375}, {"start": 1815.24, "end": 1816.04, "word": " مشان", "probability": 0.62841796875}, {"start": 1816.04, "end": 1816.54, "word": " تحسب", "probability": 0.9814453125}, {"start": 1816.54, "end": 1817.02, "word": " هذه", "probability": 0.76806640625}, {"start": 1817.02, "end": 1817.64, "word": " ال", "probability": 0.888671875}, {"start": 1817.64, "end": 1817.98, "word": " limit", "probability": 0.94677734375}, {"start": 1817.98, "end": 1818.64, "word": " طب", "probability": 0.833984375}, {"start": 1818.64, "end": 1818.82, "word": " ايش", "probability": 0.7643229166666666}, {"start": 1818.82, "end": 1820.02, "word": " صلاحياتي؟", "probability": 0.9120396205357143}, {"start": 1820.02, "end": 1820.96, "word": " صلاحياتي", "probability": 0.9663899739583334}, {"start": 1820.96, "end": 1821.5, "word": " اشتغل", "probability": 0.94931640625}, {"start": 1821.5, "end": 1821.92, "word": " شغل", "probability": 0.785888671875}, {"start": 1821.92, "end": 1822.42, "word": " رياضي", "probability": 0.9822998046875}, {"start": 1822.42, "end": 1823.04, "word": " صحيح", "probability": 0.97607421875}, {"start": 1823.04, "end": 1823.6, "word": " ماحدش", "probability": 0.9469401041666666}, {"start": 1823.6, "end": 1823.98, "word": " يقدر", "probability": 0.9664713541666666}, {"start": 1823.98, "end": 1824.42, "word": " يقوللي", "probability": 0.818603515625}, {"start": 1824.42, "end": 1824.7, "word": " عليه", "probability": 0.97509765625}, {"start": 1824.7, "end": 1825.14, "word": " خطأ", "probability": 0.9915364583333334}, {"start": 1825.14, "end": 1825.8, "word": " يعني", "probability": 0.8701171875}, {"start": 1825.8, "end": 1826.14, "word": " بده", "probability": 0.81787109375}, {"start": 1826.14, "end": 1826.48, "word": " احول", "probability": 0.8990885416666666}, {"start": 1826.48, "end": 1827.08, "word": " المسألة", "probability": 0.9595947265625}, {"start": 1827.08, "end": 1827.36, "word": " الى", "probability": 0.6875}, {"start": 1827.36, "end": 1827.6, "word": " zero", "probability": 0.8193359375}, {"start": 1827.6, "end": 1827.86, "word": " على", "probability": 0.8486328125}, {"start": 1827.86, "end": 1828.3, "word": " zero", "probability": 0.8935546875}, {"start": 1828.3, "end": 1828.7, "word": " او", "probability": 0.86376953125}, {"start": 1828.7, "end": 1829.26, "word": " infinity", "probability": 0.81103515625}, {"start": 1829.26, "end": 1829.66, "word": " على", "probability": 0.83544921875}, {"start": 1829.66, "end": 1830.02, "word": " infinity", "probability": 0.55029296875}, {"start": 1830.02, "end": 1831.06, "word": " ماذا", "probability": 0.9225260416666666}, {"start": 1831.06, "end": 1832.2, "word": " تقترحون", "probability": 0.95654296875}, {"start": 1832.2, "end": 1833.18, "word": " ايه", "probability": 0.6294759114583334}, {"start": 1833.18, "end": 1833.32, "word": " يا", "probability": 0.9033203125}, {"start": 1833.32, "end": 1834.02, "word": " ابنك؟", "probability": 0.686767578125}], "temperature": 1.0}, {"id": 81, "seek": 185825, "start": 1836.59, "end": 1858.25, "text": "مهم تاعتد ان ال sign هي مقلوب من ال cosecant يعني ريب سبروكال of cosecant ال X يبقى جالي هذا خللي ان ال X زي ما هي و هذه cosecant ال X اللي هي مقلوب ال sign بنقوله والله تمام طب لو عوضنا و تعاودنا و مشرشو بتعطيني هذه", "tokens": [2304, 16095, 6055, 995, 34268, 3215, 16472, 2423, 1465, 39896, 3714, 4587, 1211, 37746, 9154, 2423, 30261, 66, 394, 37495, 22653, 12602, 1829, 3555, 8608, 3555, 32887, 4117, 6027, 295, 30261, 66, 394, 2423, 1783, 7251, 3555, 4587, 7578, 10874, 6027, 1829, 23758, 16490, 1211, 20292, 16472, 2423, 1783, 30767, 1829, 19446, 39896, 4032, 29538, 30261, 66, 394, 2423, 1783, 13672, 1829, 39896, 3714, 4587, 1211, 37746, 2423, 1465, 44945, 39648, 3224, 16070, 43761, 46811, 10943, 23032, 3555, 45164, 6225, 2407, 11242, 8315, 4032, 37279, 995, 23328, 8315, 4032, 37893, 2288, 8592, 2407, 39894, 3615, 9566, 9957, 1829, 29538], "avg_logprob": -0.37937501192092893, "compression_ratio": 1.8072916666666667, "no_speech_prob": 0.0, "words": [{"start": 1836.59, "end": 1837.07, "word": "مهم", "probability": 0.5594482421875}, {"start": 1837.07, "end": 1837.59, "word": " تاعتد", "probability": 0.44989013671875}, {"start": 1837.59, "end": 1837.75, "word": " ان", "probability": 0.77294921875}, {"start": 1837.75, "end": 1837.91, "word": " ال", "probability": 0.755859375}, {"start": 1837.91, "end": 1838.15, "word": " sign", "probability": 0.434814453125}, {"start": 1838.15, "end": 1838.35, "word": " هي", "probability": 0.79638671875}, {"start": 1838.35, "end": 1838.89, "word": " مقلوب", "probability": 0.884033203125}, {"start": 1838.89, "end": 1839.35, "word": " من", "probability": 0.97509765625}, {"start": 1839.35, "end": 1839.97, "word": " ال", "probability": 0.7099609375}, {"start": 1839.97, "end": 1840.45, "word": " cosecant", "probability": 0.6397705078125}, {"start": 1840.45, "end": 1840.79, "word": " يعني", "probability": 0.8955078125}, {"start": 1840.79, "end": 1841.09, "word": " ريب", "probability": 0.4083251953125}, {"start": 1841.09, "end": 1842.05, "word": " سبروكال", "probability": 0.5943359375}, {"start": 1842.05, "end": 1842.71, "word": " of", "probability": 0.55712890625}, {"start": 1842.71, "end": 1843.61, "word": " cosecant", "probability": 0.9134114583333334}, {"start": 1843.61, "end": 1843.83, "word": " ال", "probability": 0.7099609375}, {"start": 1843.83, "end": 1844.03, "word": " X", "probability": 0.509765625}, {"start": 1844.03, "end": 1844.95, "word": " يبقى", "probability": 0.9232177734375}, {"start": 1844.95, "end": 1845.37, "word": " جالي", "probability": 0.5888671875}, {"start": 1845.37, "end": 1845.67, "word": " هذا", "probability": 0.77099609375}, {"start": 1845.67, "end": 1846.33, "word": " خللي", "probability": 0.5992024739583334}, {"start": 1846.33, "end": 1846.63, "word": " ان", "probability": 0.71337890625}, {"start": 1846.63, "end": 1846.87, "word": " ال", "probability": 0.9482421875}, {"start": 1846.87, "end": 1847.25, "word": " X", "probability": 0.912109375}, {"start": 1847.25, "end": 1847.65, "word": " زي", "probability": 0.987548828125}, {"start": 1847.65, "end": 1847.83, "word": " ما", "probability": 0.9404296875}, {"start": 1847.83, "end": 1848.13, "word": " هي", "probability": 0.70751953125}, {"start": 1848.13, "end": 1848.69, "word": " و", "probability": 0.61328125}, {"start": 1848.69, "end": 1849.09, "word": " هذه", "probability": 0.428466796875}, {"start": 1849.09, "end": 1850.17, "word": " cosecant", "probability": 0.958984375}, {"start": 1850.17, "end": 1850.39, "word": " ال", "probability": 0.7607421875}, {"start": 1850.39, "end": 1850.71, "word": " X", "probability": 0.98046875}, {"start": 1850.71, "end": 1850.91, "word": " اللي", "probability": 0.8642578125}, {"start": 1850.91, "end": 1851.11, "word": " هي", "probability": 0.89404296875}, {"start": 1851.11, "end": 1851.75, "word": " مقلوب", "probability": 0.978271484375}, {"start": 1851.75, "end": 1852.01, "word": " ال", "probability": 0.634765625}, {"start": 1852.01, "end": 1852.59, "word": " sign", "probability": 0.9296875}, {"start": 1852.59, "end": 1853.69, "word": " بنقوله", "probability": 0.6317545572916666}, {"start": 1853.69, "end": 1854.01, "word": " والله", "probability": 0.76611328125}, {"start": 1854.01, "end": 1854.61, "word": " تمام", "probability": 0.990234375}, {"start": 1854.61, "end": 1855.27, "word": " طب", "probability": 0.80615234375}, {"start": 1855.27, "end": 1855.49, "word": " لو", "probability": 0.990234375}, {"start": 1855.49, "end": 1855.99, "word": " عوضنا", "probability": 0.9345703125}, {"start": 1855.99, "end": 1856.07, "word": " و", "probability": 0.78173828125}, {"start": 1856.07, "end": 1856.51, "word": " تعاودنا", "probability": 0.673583984375}, {"start": 1856.51, "end": 1856.61, "word": " و", "probability": 0.71240234375}, {"start": 1856.61, "end": 1857.07, "word": " مشرشو", "probability": 0.442413330078125}, {"start": 1857.07, "end": 1857.75, "word": " بتعطيني", "probability": 0.82255859375}, {"start": 1857.75, "end": 1858.25, "word": " هذه", "probability": 0.7041015625}], "temperature": 1.0}, {"id": 82, "seek": 189005, "start": 1860.37, "end": 1890.05, "text": "Infinity على منحنى الـ cosecant.متذكرينه ولا زي الحلم؟إذا مش متذكرينه، في نهاية هذه المحاضرة، بدنا نبدأ في الsection الجديد، اللي هو الـ trigonometric functions، وبكرا، بديك تيجي مراجعة، لإنه بدنا نكملها ونخش على أمثلتها.يعني بكرا، بديك تيجي مراجعة شكل الرسم البياني لل trigonometric functions.دري بالك.", "tokens": [4575, 5194, 507, 15844, 9154, 5016, 1863, 7578, 2423, 39184, 30261, 66, 394, 13, 2304, 2655, 8848, 37983, 9957, 3224, 49429, 30767, 1829, 21542, 19528, 22807, 28814, 15730, 37893, 44650, 8848, 37983, 9957, 3224, 12399, 8978, 8717, 11296, 10632, 29538, 9673, 5016, 46958, 25720, 12399, 47525, 8315, 8717, 44510, 10721, 8978, 2423, 11963, 25724, 16254, 3215, 12399, 13672, 1829, 31439, 2423, 39184, 35386, 266, 29470, 6828, 12399, 46599, 4117, 23557, 12399, 4724, 16254, 4117, 6055, 1829, 7435, 1829, 3714, 2288, 26108, 27884, 12399, 5296, 28814, 1863, 3224, 47525, 8315, 8717, 24793, 1211, 11296, 4032, 1863, 9778, 8592, 15844, 5551, 2304, 12984, 1211, 2655, 11296, 13, 40228, 22653, 4724, 4117, 23557, 12399, 4724, 16254, 4117, 6055, 1829, 7435, 1829, 3714, 2288, 26108, 27884, 13412, 28820, 34892, 38251, 2423, 21292, 7649, 1829, 24976, 35386, 266, 29470, 6828, 13, 3215, 16572, 20666, 4117, 13], "avg_logprob": -0.26826585871233066, "compression_ratio": 1.825278810408922, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1860.37, "end": 1861.37, "word": "Infinity", "probability": 0.6066487630208334}, {"start": 1861.37, "end": 1862.15, "word": " على", "probability": 0.5751953125}, {"start": 1862.15, "end": 1863.67, "word": " منحنى", "probability": 0.8143310546875}, {"start": 1863.67, "end": 1863.81, "word": " الـ", "probability": 0.4873046875}, {"start": 1863.81, "end": 1864.51, "word": " cosecant", "probability": 0.7002766927083334}, {"start": 1864.51, "end": 1865.37, "word": ".متذكرينه", "probability": 0.6353934151785714}, {"start": 1865.37, "end": 1865.53, "word": " ولا", "probability": 0.68212890625}, {"start": 1865.53, "end": 1865.81, "word": " زي", "probability": 0.775634765625}, {"start": 1865.81, "end": 1867.39, "word": " الحلم؟إذا", "probability": 0.88056640625}, {"start": 1867.39, "end": 1867.67, "word": " مش", "probability": 0.59521484375}, {"start": 1867.67, "end": 1868.65, "word": " متذكرينه،", "probability": 0.8026326497395834}, {"start": 1868.65, "end": 1868.81, "word": " في", "probability": 0.75}, {"start": 1868.81, "end": 1869.29, "word": " نهاية", "probability": 0.9803059895833334}, {"start": 1869.29, "end": 1869.61, "word": " هذه", "probability": 0.90234375}, {"start": 1869.61, "end": 1870.43, "word": " المحاضرة،", "probability": 0.90615234375}, {"start": 1870.43, "end": 1870.73, "word": " بدنا", "probability": 0.6431884765625}, {"start": 1870.73, "end": 1871.13, "word": " نبدأ", "probability": 0.9918619791666666}, {"start": 1871.13, "end": 1871.25, "word": " في", "probability": 0.8515625}, {"start": 1871.25, "end": 1871.77, "word": " الsection", "probability": 0.455078125}, {"start": 1871.77, "end": 1873.15, "word": " الجديد،", "probability": 0.78118896484375}, {"start": 1873.15, "end": 1873.33, "word": " اللي", "probability": 0.961181640625}, {"start": 1873.33, "end": 1873.53, "word": " هو", "probability": 0.986328125}, {"start": 1873.53, "end": 1873.85, "word": " الـ", "probability": 0.773193359375}, {"start": 1873.85, "end": 1874.65, "word": " trigonometric", "probability": 0.7108154296875}, {"start": 1874.65, "end": 1875.53, "word": " functions،", "probability": 0.6806640625}, {"start": 1875.53, "end": 1876.59, "word": " وبكرا،", "probability": 0.63629150390625}, {"start": 1876.59, "end": 1877.31, "word": " بديك", "probability": 0.7208658854166666}, {"start": 1877.31, "end": 1877.57, "word": " تيجي", "probability": 0.9776611328125}, {"start": 1877.57, "end": 1878.33, "word": " مراجعة،", "probability": 0.92412109375}, {"start": 1878.33, "end": 1878.59, "word": " لإنه", "probability": 0.783447265625}, {"start": 1878.59, "end": 1878.81, "word": " بدنا", "probability": 0.777099609375}, {"start": 1878.81, "end": 1879.35, "word": " نكملها", "probability": 0.98974609375}, {"start": 1879.35, "end": 1879.87, "word": " ونخش", "probability": 0.884521484375}, {"start": 1879.87, "end": 1880.15, "word": " على", "probability": 0.85546875}, {"start": 1880.15, "end": 1881.07, "word": " أمثلتها", "probability": 0.93896484375}, {"start": 1881.07, "end": 1881.93, "word": ".يعني", "probability": 0.7954915364583334}, {"start": 1881.93, "end": 1882.43, "word": " بكرا،", "probability": 0.8492431640625}, {"start": 1882.43, "end": 1882.79, "word": " بديك", "probability": 0.9361979166666666}, {"start": 1882.79, "end": 1883.05, "word": " تيجي", "probability": 0.9949951171875}, {"start": 1883.05, "end": 1883.95, "word": " مراجعة", "probability": 0.8714599609375}, {"start": 1883.95, "end": 1884.93, "word": " شكل", "probability": 0.750732421875}, {"start": 1884.93, "end": 1885.55, "word": " الرسم", "probability": 0.983642578125}, {"start": 1885.55, "end": 1886.47, "word": " البياني", "probability": 0.9058837890625}, {"start": 1886.47, "end": 1886.71, "word": " لل", "probability": 0.86181640625}, {"start": 1886.71, "end": 1887.75, "word": " trigonometric", "probability": 0.7652180989583334}, {"start": 1887.75, "end": 1888.89, "word": " functions", "probability": 0.86181640625}, {"start": 1888.89, "end": 1889.65, "word": ".دري", "probability": 0.6280110677083334}, {"start": 1889.65, "end": 1890.05, "word": " بالك.", "probability": 0.88232421875}], "temperature": 1.0}, {"id": 83, "seek": 191933, "start": 1890.33, "end": 1919.33, "text": "هنبدأ فيه بعد قليل لكن الباقية لك تجي مراجعه يبقى ال consequant هذه لو روحنا لل zero من جهة اليمين ال consequant بيجيني من فوق و بيجي نازل لعند الواحد وبعود بطلع تاني يبقى هذا عبارة عن ايش سالب infinity على infinity ماعناش مشكلة infinity على infinity والله سالب infinity على infinity إذا مشتقة البس على مشتقة", "tokens": [3224, 1863, 44510, 10721, 8978, 3224, 39182, 12174, 20292, 1211, 44381, 29739, 995, 4587, 10632, 5296, 4117, 6055, 7435, 1829, 3714, 2288, 26108, 3615, 3224, 7251, 3555, 4587, 7578, 2423, 7242, 394, 29538, 45164, 12602, 2407, 5016, 8315, 24976, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 2423, 7242, 394, 4724, 1829, 7435, 9957, 1829, 9154, 6156, 30543, 4032, 4724, 1829, 7435, 1829, 8717, 31377, 1211, 5296, 3615, 41260, 2423, 14407, 24401, 46599, 3615, 23328, 4724, 9566, 1211, 3615, 6055, 7649, 1829, 7251, 3555, 4587, 7578, 23758, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 8592, 8608, 6027, 3555, 13202, 15844, 13202, 19446, 3615, 1863, 33599, 37893, 28820, 3660, 13202, 15844, 13202, 16070, 43761, 8608, 6027, 3555, 13202, 15844, 13202, 11933, 15730, 37893, 2655, 28671, 29739, 3794, 15844, 37893, 2655, 28671], "avg_logprob": -0.26240457560269886, "compression_ratio": 1.90625, "no_speech_prob": 0.0, "words": [{"start": 1890.33, "end": 1890.83, "word": "هنبدأ", "probability": 0.7042694091796875}, {"start": 1890.83, "end": 1891.07, "word": " فيه", "probability": 0.70556640625}, {"start": 1891.07, "end": 1891.31, "word": " بعد", "probability": 0.74072265625}, {"start": 1891.31, "end": 1891.89, "word": " قليل", "probability": 0.9375}, {"start": 1891.89, "end": 1892.17, "word": " لكن", "probability": 0.480224609375}, {"start": 1892.17, "end": 1892.71, "word": " الباقية", "probability": 0.56109619140625}, {"start": 1892.71, "end": 1892.93, "word": " لك", "probability": 0.46649169921875}, {"start": 1892.93, "end": 1893.17, "word": " تجي", "probability": 0.8553059895833334}, {"start": 1893.17, "end": 1893.97, "word": " مراجعه", "probability": 0.766455078125}, {"start": 1893.97, "end": 1894.75, "word": " يبقى", "probability": 0.93896484375}, {"start": 1894.75, "end": 1894.91, "word": " ال", "probability": 0.927734375}, {"start": 1894.91, "end": 1895.61, "word": " consequant", "probability": 0.380126953125}, {"start": 1895.61, "end": 1895.89, "word": " هذه", "probability": 0.349853515625}, {"start": 1895.89, "end": 1896.15, "word": " لو", "probability": 0.91015625}, {"start": 1896.15, "end": 1896.59, "word": " روحنا", "probability": 0.9239501953125}, {"start": 1896.59, "end": 1896.93, "word": " لل", "probability": 0.76513671875}, {"start": 1896.93, "end": 1897.23, "word": " zero", "probability": 0.2275390625}, {"start": 1897.23, "end": 1897.51, "word": " من", "probability": 0.986328125}, {"start": 1897.51, "end": 1898.05, "word": " جهة", "probability": 0.9806315104166666}, {"start": 1898.05, "end": 1898.75, "word": " اليمين", "probability": 0.8421223958333334}, {"start": 1898.75, "end": 1899.29, "word": " ال", "probability": 0.9287109375}, {"start": 1899.29, "end": 1900.07, "word": " consequant", "probability": 0.96630859375}, {"start": 1900.07, "end": 1900.61, "word": " بيجيني", "probability": 0.853466796875}, {"start": 1900.61, "end": 1900.75, "word": " من", "probability": 0.99462890625}, {"start": 1900.75, "end": 1901.15, "word": " فوق", "probability": 0.886962890625}, {"start": 1901.15, "end": 1901.27, "word": " و", "probability": 0.89306640625}, {"start": 1901.27, "end": 1901.65, "word": " بيجي", "probability": 0.83856201171875}, {"start": 1901.65, "end": 1902.37, "word": " نازل", "probability": 0.9747721354166666}, {"start": 1902.37, "end": 1903.07, "word": " لعند", "probability": 0.8533528645833334}, {"start": 1903.07, "end": 1903.55, "word": " الواحد", "probability": 0.96435546875}, {"start": 1903.55, "end": 1903.99, "word": " وبعود", "probability": 0.691650390625}, {"start": 1903.99, "end": 1904.51, "word": " بطلع", "probability": 0.8995361328125}, {"start": 1904.51, "end": 1905.21, "word": " تاني", "probability": 0.9812825520833334}, {"start": 1905.21, "end": 1906.55, "word": " يبقى", "probability": 0.843505859375}, {"start": 1906.55, "end": 1906.91, "word": " هذا", "probability": 0.4931640625}, {"start": 1906.91, "end": 1907.37, "word": " عبارة", "probability": 0.9735107421875}, {"start": 1907.37, "end": 1907.59, "word": " عن", "probability": 0.99365234375}, {"start": 1907.59, "end": 1908.09, "word": " ايش", "probability": 0.725830078125}, {"start": 1908.09, "end": 1908.81, "word": " سالب", "probability": 0.7532552083333334}, {"start": 1908.81, "end": 1909.69, "word": " infinity", "probability": 0.71875}, {"start": 1909.69, "end": 1910.39, "word": " على", "probability": 0.75927734375}, {"start": 1910.39, "end": 1911.55, "word": " infinity", "probability": 0.77685546875}, {"start": 1911.55, "end": 1912.65, "word": " ماعناش", "probability": 0.8729248046875}, {"start": 1912.65, "end": 1913.13, "word": " مشكلة", "probability": 0.8782552083333334}, {"start": 1913.13, "end": 1913.61, "word": " infinity", "probability": 0.8447265625}, {"start": 1913.61, "end": 1913.83, "word": " على", "probability": 0.86474609375}, {"start": 1913.83, "end": 1914.35, "word": " infinity", "probability": 0.91015625}, {"start": 1914.35, "end": 1914.69, "word": " والله", "probability": 0.74365234375}, {"start": 1914.69, "end": 1915.09, "word": " سالب", "probability": 0.833984375}, {"start": 1915.09, "end": 1915.51, "word": " infinity", "probability": 0.8564453125}, {"start": 1915.51, "end": 1915.85, "word": " على", "probability": 0.91748046875}, {"start": 1915.85, "end": 1916.43, "word": " infinity", "probability": 0.90380859375}, {"start": 1916.43, "end": 1917.13, "word": " إذا", "probability": 0.749755859375}, {"start": 1917.13, "end": 1917.85, "word": " مشتقة", "probability": 0.814453125}, {"start": 1917.85, "end": 1918.33, "word": " البس", "probability": 0.4693603515625}, {"start": 1918.33, "end": 1918.59, "word": " على", "probability": 0.68408203125}, {"start": 1918.59, "end": 1919.33, "word": " مشتقة", "probability": 0.9427083333333334}], "temperature": 1.0}, {"id": 84, "seek": 194321, "start": 1921.21, "end": 1943.21, "text": "المقام تفضل ال X بواحد على X والكسي كانت بسالب كسي كانت ال X في كتان ال X كيف؟ سافر من جهة اليمين، مظبوط؟ اقول لك اعمل هيك و الله يشرفك", "tokens": [45340, 4587, 10943, 6055, 5172, 11242, 1211, 2423, 1783, 4724, 14407, 24401, 15844, 1783, 16070, 4117, 3794, 1829, 25961, 2655, 4724, 3794, 6027, 3555, 9122, 3794, 1829, 25961, 2655, 2423, 1783, 8978, 9122, 2655, 7649, 2423, 1783, 9122, 33911, 22807, 8608, 31845, 2288, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 1975, 39648, 5296, 4117, 1975, 25957, 1211, 39896, 4117, 4032, 21984, 7251, 8592, 28480, 4117], "avg_logprob": -0.31250001306403175, "compression_ratio": 1.6275862068965516, "no_speech_prob": 0.0, "words": [{"start": 1921.2099999999998, "end": 1922.09, "word": "المقام", "probability": 0.7953287760416666}, {"start": 1922.09, "end": 1922.97, "word": " تفضل", "probability": 0.8468017578125}, {"start": 1922.97, "end": 1923.17, "word": " ال", "probability": 0.280029296875}, {"start": 1923.17, "end": 1923.53, "word": " X", "probability": 0.63671875}, {"start": 1923.53, "end": 1924.23, "word": " بواحد", "probability": 0.7674967447916666}, {"start": 1924.23, "end": 1924.57, "word": " على", "probability": 0.77685546875}, {"start": 1924.57, "end": 1925.01, "word": " X", "probability": 0.9736328125}, {"start": 1925.01, "end": 1926.01, "word": " والكسي", "probability": 0.61602783203125}, {"start": 1926.01, "end": 1926.51, "word": " كانت", "probability": 0.91748046875}, {"start": 1926.51, "end": 1927.23, "word": " بسالب", "probability": 0.75567626953125}, {"start": 1927.23, "end": 1927.85, "word": " كسي", "probability": 0.9285481770833334}, {"start": 1927.85, "end": 1928.31, "word": " كانت", "probability": 0.85546875}, {"start": 1928.31, "end": 1928.49, "word": " ال", "probability": 0.76611328125}, {"start": 1928.49, "end": 1928.93, "word": " X", "probability": 0.9794921875}, {"start": 1928.93, "end": 1929.75, "word": " في", "probability": 0.94140625}, {"start": 1929.75, "end": 1931.09, "word": " كتان", "probability": 0.9542643229166666}, {"start": 1931.09, "end": 1931.35, "word": " ال", "probability": 0.806640625}, {"start": 1931.35, "end": 1931.77, "word": " X", "probability": 0.98388671875}, {"start": 1931.77, "end": 1935.93, "word": " كيف؟", "probability": 0.60498046875}, {"start": 1935.93, "end": 1937.41, "word": " سافر", "probability": 0.7473958333333334}, {"start": 1937.41, "end": 1937.57, "word": " من", "probability": 0.99169921875}, {"start": 1937.57, "end": 1938.01, "word": " جهة", "probability": 0.8722330729166666}, {"start": 1938.01, "end": 1939.77, "word": " اليمين،", "probability": 0.763427734375}, {"start": 1939.77, "end": 1941.51, "word": " مظبوط؟", "probability": 0.8963216145833334}, {"start": 1941.51, "end": 1941.71, "word": " اقول", "probability": 0.5311279296875}, {"start": 1941.71, "end": 1941.91, "word": " لك", "probability": 0.51708984375}, {"start": 1941.91, "end": 1942.19, "word": " اعمل", "probability": 0.7980143229166666}, {"start": 1942.19, "end": 1942.65, "word": " هيك", "probability": 0.828125}, {"start": 1942.65, "end": 1942.73, "word": " و", "probability": 0.59033203125}, {"start": 1942.73, "end": 1942.85, "word": " الله", "probability": 0.892578125}, {"start": 1942.85, "end": 1943.21, "word": " يشرفك", "probability": 0.569976806640625}], "temperature": 1.0}, {"id": 85, "seek": 195808, "start": 1943.86, "end": 1958.08, "text": "رسمت الرسمة طلع على الرسمة و كتبناها as a limit اللي من ضمن ال properties of لن ال X", "tokens": [2288, 38251, 2655, 34892, 38251, 3660, 23032, 1211, 3615, 15844, 34892, 38251, 3660, 4032, 9122, 2655, 3555, 8315, 11296, 382, 257, 4948, 13672, 1829, 9154, 48812, 27842, 2423, 7221, 295, 5296, 1863, 2423, 1783], "avg_logprob": -0.4392857279096331, "compression_ratio": 1.29, "no_speech_prob": 0.0, "words": [{"start": 1943.86, "end": 1944.6, "word": "رسمت", "probability": 0.6770833333333334}, {"start": 1944.6, "end": 1945.24, "word": " الرسمة", "probability": 0.9453125}, {"start": 1945.24, "end": 1946.06, "word": " طلع", "probability": 0.7792154947916666}, {"start": 1946.06, "end": 1946.2, "word": " على", "probability": 0.21044921875}, {"start": 1946.2, "end": 1946.54, "word": " الرسمة", "probability": 0.9739583333333334}, {"start": 1946.54, "end": 1946.8, "word": " و", "probability": 0.16748046875}, {"start": 1946.8, "end": 1952.88, "word": " كتبناها", "probability": 0.74541015625}, {"start": 1952.88, "end": 1953.34, "word": " as", "probability": 0.7783203125}, {"start": 1953.34, "end": 1953.72, "word": " a", "probability": 0.91748046875}, {"start": 1953.72, "end": 1954.18, "word": " limit", "probability": 0.96044921875}, {"start": 1954.18, "end": 1954.46, "word": " اللي", "probability": 0.6005859375}, {"start": 1954.46, "end": 1954.68, "word": " من", "probability": 0.58251953125}, {"start": 1954.68, "end": 1955.2, "word": " ضمن", "probability": 0.961181640625}, {"start": 1955.2, "end": 1955.38, "word": " ال", "probability": 0.470947265625}, {"start": 1955.38, "end": 1956.1, "word": " properties", "probability": 0.87646484375}, {"start": 1956.1, "end": 1956.86, "word": " of", "probability": 0.96875}, {"start": 1956.86, "end": 1957.46, "word": " لن", "probability": 0.57757568359375}, {"start": 1957.46, "end": 1957.68, "word": " ال", "probability": 0.55517578125}, {"start": 1957.68, "end": 1958.08, "word": " X", "probability": 0.6435546875}], "temperature": 1.0}, {"id": 86, "seek": 197790, "start": 1961.72, "end": 1977.9, "text": "طيب يبقى هذا الكلام بدي يساوي ال limit لما ال X بدها تروح ل zero من جهة اليمين، بدي أعيد ترتيب المثلة، يبقى ال X هاد بتنزل وين؟ ال cos كان بدي اكتبها ال sign و ال quotient بدي اكتبها", "tokens": [9566, 1829, 3555, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 4724, 16254, 7251, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 5296, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 12399, 4724, 16254, 5551, 3615, 25708, 6055, 2288, 31371, 3555, 9673, 12984, 37977, 12399, 7251, 3555, 4587, 7578, 2423, 1783, 8032, 18513, 39894, 1863, 11622, 1211, 4032, 9957, 22807, 2423, 3792, 25961, 4724, 16254, 1975, 4117, 2655, 3555, 11296, 2423, 1465, 4032, 2423, 9641, 1196, 4724, 16254, 1975, 4117, 2655, 3555, 11296], "avg_logprob": -0.27465276387002735, "compression_ratio": 1.633879781420765, "no_speech_prob": 0.0, "words": [{"start": 1961.72, "end": 1962.18, "word": "طيب", "probability": 0.65423583984375}, {"start": 1962.18, "end": 1962.7, "word": " يبقى", "probability": 0.8697509765625}, {"start": 1962.7, "end": 1962.96, "word": " هذا", "probability": 0.9052734375}, {"start": 1962.96, "end": 1963.42, "word": " الكلام", "probability": 0.9169921875}, {"start": 1963.42, "end": 1963.7, "word": " بدي", "probability": 0.304931640625}, {"start": 1963.7, "end": 1964.22, "word": " يساوي", "probability": 0.8804931640625}, {"start": 1964.22, "end": 1964.38, "word": " ال", "probability": 0.65087890625}, {"start": 1964.38, "end": 1964.88, "word": " limit", "probability": 0.92578125}, {"start": 1964.88, "end": 1965.38, "word": " لما", "probability": 0.906982421875}, {"start": 1965.38, "end": 1965.58, "word": " ال", "probability": 0.9169921875}, {"start": 1965.58, "end": 1965.86, "word": " X", "probability": 0.6005859375}, {"start": 1965.86, "end": 1966.28, "word": " بدها", "probability": 0.725830078125}, {"start": 1966.28, "end": 1966.68, "word": " تروح", "probability": 0.9806315104166666}, {"start": 1966.68, "end": 1966.82, "word": " ل", "probability": 0.876953125}, {"start": 1966.82, "end": 1967.18, "word": " zero", "probability": 0.3857421875}, {"start": 1967.18, "end": 1967.42, "word": " من", "probability": 0.9892578125}, {"start": 1967.42, "end": 1967.84, "word": " جهة", "probability": 0.9873046875}, {"start": 1967.84, "end": 1968.74, "word": " اليمين،", "probability": 0.69598388671875}, {"start": 1968.74, "end": 1969.06, "word": " بدي", "probability": 0.85546875}, {"start": 1969.06, "end": 1969.6, "word": " أعيد", "probability": 0.9002278645833334}, {"start": 1969.6, "end": 1970.22, "word": " ترتيب", "probability": 0.978759765625}, {"start": 1970.22, "end": 1971.32, "word": " المثلة،", "probability": 0.74029541015625}, {"start": 1971.32, "end": 1971.7, "word": " يبقى", "probability": 0.970947265625}, {"start": 1971.7, "end": 1971.8, "word": " ال", "probability": 0.9423828125}, {"start": 1971.8, "end": 1972.08, "word": " X", "probability": 0.96728515625}, {"start": 1972.08, "end": 1972.32, "word": " هاد", "probability": 0.3890380859375}, {"start": 1972.32, "end": 1972.76, "word": " بتنزل", "probability": 0.92333984375}, {"start": 1972.76, "end": 1974.12, "word": " وين؟", "probability": 0.8736979166666666}, {"start": 1974.12, "end": 1974.32, "word": " ال", "probability": 0.5693359375}, {"start": 1974.32, "end": 1974.7, "word": " cos", "probability": 0.437255859375}, {"start": 1974.7, "end": 1974.98, "word": " كان", "probability": 0.94384765625}, {"start": 1974.98, "end": 1975.24, "word": " بدي", "probability": 0.6429443359375}, {"start": 1975.24, "end": 1975.74, "word": " اكتبها", "probability": 0.8859375}, {"start": 1975.74, "end": 1976.0, "word": " ال", "probability": 0.61572265625}, {"start": 1976.0, "end": 1976.42, "word": " sign", "probability": 0.4482421875}, {"start": 1976.42, "end": 1976.6, "word": " و", "probability": 0.441162109375}, {"start": 1976.6, "end": 1976.78, "word": " ال", "probability": 0.91064453125}, {"start": 1976.78, "end": 1977.22, "word": " quotient", "probability": 0.563720703125}, {"start": 1977.22, "end": 1977.4, "word": " بدي", "probability": 0.832275390625}, {"start": 1977.4, "end": 1977.9, "word": " اكتبها", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 87, "seek": 200493, "start": 1979.27, "end": 2004.93, "text": "بتعلنه تانية مقلب الكتان إذا بصير هذي sin X و هنا tan X على مين على X وهي إشارة السالب قبلهم كلهم طيب هذا الكلام بدي يساوي سالب برا و limit لما ال X بدي يروح ل zero من جهة اليمين ل sin X على X بنفع ولا لا؟", "tokens": [3555, 2655, 30241, 1863, 3224, 6055, 7649, 10632, 3714, 4587, 46152, 33251, 2655, 7649, 11933, 15730, 4724, 9381, 13546, 8032, 8848, 1829, 3343, 1783, 4032, 34105, 7603, 1783, 15844, 3714, 9957, 15844, 1783, 37037, 1829, 11933, 8592, 9640, 3660, 21136, 6027, 3555, 12174, 36150, 16095, 28242, 16095, 23032, 1829, 3555, 23758, 2423, 28820, 10943, 4724, 16254, 7251, 3794, 995, 45865, 8608, 6027, 3555, 4724, 23557, 4032, 4948, 5296, 15042, 2423, 1783, 4724, 16254, 7251, 32887, 5016, 5296, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 5296, 3343, 1783, 15844, 1783, 44945, 5172, 3615, 49429, 20193, 22807], "avg_logprob": -0.3402061855670103, "compression_ratio": 1.6732673267326732, "no_speech_prob": 0.0, "words": [{"start": 1979.27, "end": 1979.95, "word": "بتعلنه", "probability": 0.5314453125}, {"start": 1979.95, "end": 1980.35, "word": " تانية", "probability": 0.70947265625}, {"start": 1980.35, "end": 1980.73, "word": " مقلب", "probability": 0.8015950520833334}, {"start": 1980.73, "end": 1981.35, "word": " الكتان", "probability": 0.95556640625}, {"start": 1981.35, "end": 1981.71, "word": " إذا", "probability": 0.48583984375}, {"start": 1981.71, "end": 1982.31, "word": " بصير", "probability": 0.7049153645833334}, {"start": 1982.31, "end": 1983.25, "word": " هذي", "probability": 0.4298502604166667}, {"start": 1983.25, "end": 1984.11, "word": " sin", "probability": 0.15869140625}, {"start": 1984.11, "end": 1985.15, "word": " X", "probability": 0.354248046875}, {"start": 1985.15, "end": 1985.73, "word": " و", "probability": 0.54296875}, {"start": 1985.73, "end": 1986.13, "word": " هنا", "probability": 0.5517578125}, {"start": 1986.13, "end": 1986.83, "word": " tan", "probability": 0.67578125}, {"start": 1986.83, "end": 1987.73, "word": " X", "probability": 0.96826171875}, {"start": 1987.73, "end": 1988.53, "word": " على", "probability": 0.58837890625}, {"start": 1988.53, "end": 1988.99, "word": " مين", "probability": 0.7342529296875}, {"start": 1988.99, "end": 1989.39, "word": " على", "probability": 0.77099609375}, {"start": 1989.39, "end": 1989.87, "word": " X", "probability": 0.93408203125}, {"start": 1989.87, "end": 1990.41, "word": " وهي", "probability": 0.6259765625}, {"start": 1990.41, "end": 1990.95, "word": " إشارة", "probability": 0.906982421875}, {"start": 1990.95, "end": 1991.45, "word": " السالب", "probability": 0.7508951822916666}, {"start": 1991.45, "end": 1991.99, "word": " قبلهم", "probability": 0.82763671875}, {"start": 1991.99, "end": 1992.65, "word": " كلهم", "probability": 0.958984375}, {"start": 1992.65, "end": 1993.65, "word": " طيب", "probability": 0.8119303385416666}, {"start": 1993.65, "end": 1994.01, "word": " هذا", "probability": 0.7529296875}, {"start": 1994.01, "end": 1994.51, "word": " الكلام", "probability": 0.9742838541666666}, {"start": 1994.51, "end": 1994.81, "word": " بدي", "probability": 0.46533203125}, {"start": 1994.81, "end": 1995.23, "word": " يساوي", "probability": 0.7779541015625}, {"start": 1995.23, "end": 1995.91, "word": " سالب", "probability": 0.9534505208333334}, {"start": 1995.91, "end": 1996.59, "word": " برا", "probability": 0.778076171875}, {"start": 1996.59, "end": 1997.21, "word": " و", "probability": 0.8271484375}, {"start": 1997.21, "end": 1997.57, "word": " limit", "probability": 0.93310546875}, {"start": 1997.57, "end": 1997.95, "word": " لما", "probability": 0.902587890625}, {"start": 1997.95, "end": 1998.09, "word": " ال", "probability": 0.8466796875}, {"start": 1998.09, "end": 1998.37, "word": " X", "probability": 0.921875}, {"start": 1998.37, "end": 1998.69, "word": " بدي", "probability": 0.914306640625}, {"start": 1998.69, "end": 1998.97, "word": " يروح", "probability": 0.8727213541666666}, {"start": 1998.97, "end": 1999.15, "word": " ل", "probability": 0.701171875}, {"start": 1999.15, "end": 1999.47, "word": " zero", "probability": 0.278564453125}, {"start": 1999.47, "end": 1999.73, "word": " من", "probability": 0.9912109375}, {"start": 1999.73, "end": 2000.23, "word": " جهة", "probability": 0.98291015625}, {"start": 2000.23, "end": 2000.95, "word": " اليمين", "probability": 0.8349609375}, {"start": 2000.95, "end": 2001.71, "word": " ل", "probability": 0.9775390625}, {"start": 2001.71, "end": 2002.39, "word": " sin", "probability": 0.52099609375}, {"start": 2002.39, "end": 2003.15, "word": " X", "probability": 0.97021484375}, {"start": 2003.15, "end": 2003.53, "word": " على", "probability": 0.75341796875}, {"start": 2003.53, "end": 2003.83, "word": " X", "probability": 0.98486328125}, {"start": 2003.83, "end": 2004.25, "word": " بنفع", "probability": 0.8515625}, {"start": 2004.25, "end": 2004.43, "word": " ولا", "probability": 0.8095703125}, {"start": 2004.43, "end": 2004.93, "word": " لا؟", "probability": 0.66455078125}], "temperature": 1.0}, {"id": 88, "seek": 202650, "start": 2005.42, "end": 2026.5, "text": "فاهمين؟ في limit لما ال X بدها تروح ل zero من جهة اليمين لتان ال X هذا الكلام بده يساوي السالم هذي ال limit بقداش يا شباب واحد صحيح تمام تمام وهذه تاني ال zero منحنتان", "tokens": [5172, 995, 16095, 9957, 22807, 8978, 4948, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 5296, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 5296, 2655, 7649, 2423, 1783, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 21136, 45340, 8032, 8848, 1829, 2423, 4948, 4724, 28543, 33599, 35186, 13412, 3555, 16758, 36764, 24401, 20328, 5016, 1829, 5016, 46811, 10943, 46811, 10943, 37037, 24192, 6055, 7649, 1829, 2423, 4018, 9154, 5016, 1863, 2655, 7649], "avg_logprob": -0.2702922062440352, "compression_ratio": 1.6607142857142858, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2005.42, "end": 2006.4, "word": "فاهمين؟", "probability": 0.5841796875}, {"start": 2006.4, "end": 2006.8, "word": " في", "probability": 0.79248046875}, {"start": 2006.8, "end": 2007.88, "word": " limit", "probability": 0.83544921875}, {"start": 2007.88, "end": 2008.72, "word": " لما", "probability": 0.82861328125}, {"start": 2008.72, "end": 2008.88, "word": " ال", "probability": 0.908203125}, {"start": 2008.88, "end": 2009.2, "word": " X", "probability": 0.56689453125}, {"start": 2009.2, "end": 2009.62, "word": " بدها", "probability": 0.865478515625}, {"start": 2009.62, "end": 2009.98, "word": " تروح", "probability": 0.9583333333333334}, {"start": 2009.98, "end": 2010.14, "word": " ل", "probability": 0.83935546875}, {"start": 2010.14, "end": 2010.5, "word": " zero", "probability": 0.240966796875}, {"start": 2010.5, "end": 2010.78, "word": " من", "probability": 0.986328125}, {"start": 2010.78, "end": 2011.3, "word": " جهة", "probability": 0.9518229166666666}, {"start": 2011.3, "end": 2012.02, "word": " اليمين", "probability": 0.8733723958333334}, {"start": 2012.02, "end": 2013.32, "word": " لتان", "probability": 0.93798828125}, {"start": 2013.32, "end": 2013.54, "word": " ال", "probability": 0.736328125}, {"start": 2013.54, "end": 2014.06, "word": " X", "probability": 0.98291015625}, {"start": 2014.06, "end": 2014.88, "word": " هذا", "probability": 0.7958984375}, {"start": 2014.88, "end": 2015.44, "word": " الكلام", "probability": 0.9654947916666666}, {"start": 2015.44, "end": 2015.94, "word": " بده", "probability": 0.815185546875}, {"start": 2015.94, "end": 2016.4, "word": " يساوي", "probability": 0.9520263671875}, {"start": 2016.4, "end": 2017.0, "word": " السالم", "probability": 0.647705078125}, {"start": 2017.0, "end": 2018.12, "word": " هذي", "probability": 0.5391438802083334}, {"start": 2018.12, "end": 2018.16, "word": " ال", "probability": 0.359130859375}, {"start": 2018.16, "end": 2018.36, "word": " limit", "probability": 0.9619140625}, {"start": 2018.36, "end": 2018.82, "word": " بقداش", "probability": 0.57373046875}, {"start": 2018.82, "end": 2018.94, "word": " يا", "probability": 0.95263671875}, {"start": 2018.94, "end": 2019.34, "word": " شباب", "probability": 0.9879557291666666}, {"start": 2019.34, "end": 2020.36, "word": " واحد", "probability": 0.6785888671875}, {"start": 2020.36, "end": 2020.92, "word": " صحيح", "probability": 0.9156494140625}, {"start": 2020.92, "end": 2021.62, "word": " تمام", "probability": 0.935546875}, {"start": 2021.62, "end": 2022.2, "word": " تمام", "probability": 0.770751953125}, {"start": 2022.2, "end": 2023.24, "word": " وهذه", "probability": 0.556640625}, {"start": 2023.24, "end": 2023.78, "word": " تاني", "probability": 0.84033203125}, {"start": 2023.78, "end": 2023.94, "word": " ال", "probability": 0.77392578125}, {"start": 2023.94, "end": 2024.56, "word": " zero", "probability": 0.83154296875}, {"start": 2024.56, "end": 2026.5, "word": " منحنتان", "probability": 0.798046875}], "temperature": 1.0}, {"id": 89, "seek": 204159, "start": 2026.65, "end": 2041.59, "text": "يمر بنقطة الأصل، إذا انتهى الـ Zero بقداش؟ بـ Zero و يساوي كداش؟ و يساوي Zero يبقى انتهينا من مين؟ من ثلاث خطوات، باقية الخطوة الرابعة", "tokens": [1829, 29973, 44945, 47432, 3660, 16247, 36520, 12399, 11933, 15730, 16472, 47395, 7578, 2423, 39184, 17182, 4724, 28543, 33599, 22807, 4724, 39184, 17182, 4032, 7251, 3794, 995, 45865, 9122, 3215, 33599, 22807, 4032, 7251, 3794, 995, 45865, 17182, 7251, 3555, 4587, 7578, 16472, 47395, 1829, 8315, 9154, 3714, 9957, 22807, 9154, 38637, 1211, 5718, 104, 16490, 9566, 2407, 9307, 12399, 4724, 995, 4587, 10632, 33962, 9566, 2407, 3660, 34892, 16758, 27884], "avg_logprob": -0.2578125124176343, "compression_ratio": 1.5931034482758621, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2026.65, "end": 2027.37, "word": "يمر", "probability": 0.6302490234375}, {"start": 2027.37, "end": 2028.13, "word": " بنقطة", "probability": 0.88134765625}, {"start": 2028.13, "end": 2028.75, "word": " الأصل،", "probability": 0.627197265625}, {"start": 2028.75, "end": 2029.03, "word": " إذا", "probability": 0.882568359375}, {"start": 2029.03, "end": 2029.61, "word": " انتهى", "probability": 0.751953125}, {"start": 2029.61, "end": 2029.81, "word": " الـ", "probability": 0.5548095703125}, {"start": 2029.81, "end": 2030.01, "word": " Zero", "probability": 0.415283203125}, {"start": 2030.01, "end": 2031.21, "word": " بقداش؟", "probability": 0.66693115234375}, {"start": 2031.21, "end": 2031.71, "word": " بـ", "probability": 0.715576171875}, {"start": 2031.71, "end": 2032.23, "word": " Zero", "probability": 0.78662109375}, {"start": 2032.23, "end": 2033.19, "word": " و", "probability": 0.368896484375}, {"start": 2033.19, "end": 2033.85, "word": " يساوي", "probability": 0.818603515625}, {"start": 2033.85, "end": 2034.73, "word": " كداش؟", "probability": 0.71148681640625}, {"start": 2034.73, "end": 2034.91, "word": " و", "probability": 0.6494140625}, {"start": 2034.91, "end": 2035.63, "word": " يساوي", "probability": 0.9537353515625}, {"start": 2035.63, "end": 2036.09, "word": " Zero", "probability": 0.92578125}, {"start": 2036.09, "end": 2036.87, "word": " يبقى", "probability": 0.83929443359375}, {"start": 2036.87, "end": 2037.35, "word": " انتهينا", "probability": 0.85205078125}, {"start": 2037.35, "end": 2037.51, "word": " من", "probability": 0.96826171875}, {"start": 2037.51, "end": 2038.39, "word": " مين؟", "probability": 0.6869710286458334}, {"start": 2038.39, "end": 2038.65, "word": " من", "probability": 0.9638671875}, {"start": 2038.65, "end": 2039.15, "word": " ثلاث", "probability": 0.948974609375}, {"start": 2039.15, "end": 2039.79, "word": " خطوات،", "probability": 0.89521484375}, {"start": 2039.79, "end": 2040.29, "word": " باقية", "probability": 0.900390625}, {"start": 2040.29, "end": 2041.01, "word": " الخطوة", "probability": 0.981201171875}, {"start": 2041.01, "end": 2041.59, "word": " الرابعة", "probability": 0.9763997395833334}], "temperature": 1.0}, {"id": 90, "seek": 205780, "start": 2041.92, "end": 2057.8, "text": "يبقى باجي بقول له سا limit لما ال X بدها تروح لل zero من جهة اليمين لل X أص عين ال X بده يساوي E أزره اللي يبقى داشر بواحد صحيح", "tokens": [1829, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 46740, 8608, 995, 4948, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 24976, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 24976, 1783, 5551, 9381, 6225, 9957, 2423, 1783, 47525, 3224, 7251, 3794, 995, 45865, 462, 5551, 11622, 2288, 3224, 13672, 1829, 7251, 3555, 4587, 7578, 11778, 33599, 2288, 4724, 14407, 24401, 20328, 5016, 1829, 5016], "avg_logprob": -0.30806903696771876, "compression_ratio": 1.435374149659864, "no_speech_prob": 0.0, "words": [{"start": 2041.92, "end": 2042.52, "word": "يبقى", "probability": 0.8468017578125}, {"start": 2042.52, "end": 2042.92, "word": " باجي", "probability": 0.720458984375}, {"start": 2042.92, "end": 2043.36, "word": " بقول", "probability": 0.90234375}, {"start": 2043.36, "end": 2043.66, "word": " له", "probability": 0.4228515625}, {"start": 2043.66, "end": 2044.12, "word": " سا", "probability": 0.44244384765625}, {"start": 2044.12, "end": 2045.0, "word": " limit", "probability": 0.693359375}, {"start": 2045.0, "end": 2045.9, "word": " لما", "probability": 0.90966796875}, {"start": 2045.9, "end": 2046.1, "word": " ال", "probability": 0.94189453125}, {"start": 2046.1, "end": 2046.48, "word": " X", "probability": 0.72314453125}, {"start": 2046.48, "end": 2046.9, "word": " بدها", "probability": 0.7900390625}, {"start": 2046.9, "end": 2047.36, "word": " تروح", "probability": 0.9931640625}, {"start": 2047.36, "end": 2047.62, "word": " لل", "probability": 0.64306640625}, {"start": 2047.62, "end": 2047.92, "word": " zero", "probability": 0.47412109375}, {"start": 2047.92, "end": 2048.18, "word": " من", "probability": 0.99267578125}, {"start": 2048.18, "end": 2048.64, "word": " جهة", "probability": 0.8347981770833334}, {"start": 2048.64, "end": 2049.24, "word": " اليمين", "probability": 0.8837890625}, {"start": 2049.24, "end": 2049.88, "word": " لل", "probability": 0.70166015625}, {"start": 2049.88, "end": 2050.42, "word": " X", "probability": 0.93603515625}, {"start": 2050.42, "end": 2051.06, "word": " أص", "probability": 0.686279296875}, {"start": 2051.06, "end": 2051.72, "word": " عين", "probability": 0.8193359375}, {"start": 2051.72, "end": 2051.94, "word": " ال", "probability": 0.86572265625}, {"start": 2051.94, "end": 2052.34, "word": " X", "probability": 0.98095703125}, {"start": 2052.34, "end": 2052.92, "word": " بده", "probability": 0.5250244140625}, {"start": 2052.92, "end": 2053.36, "word": " يساوي", "probability": 0.93212890625}, {"start": 2053.36, "end": 2053.78, "word": " E", "probability": 0.7978515625}, {"start": 2053.78, "end": 2054.52, "word": " أزره", "probability": 0.45965576171875}, {"start": 2054.52, "end": 2054.68, "word": " اللي", "probability": 0.83349609375}, {"start": 2054.68, "end": 2054.94, "word": " يبقى", "probability": 0.894775390625}, {"start": 2054.94, "end": 2056.04, "word": " داشر", "probability": 0.5413818359375}, {"start": 2056.04, "end": 2057.02, "word": " بواحد", "probability": 0.8468424479166666}, {"start": 2057.02, "end": 2057.8, "word": " صحيح", "probability": 0.840576171875}], "temperature": 1.0}, {"id": 91, "seek": 208817, "start": 2060.66, "end": 2088.18, "text": "ملاحظين انه أخدنا بدل المثال خمسة وكله بنمشي بنفس التكتيك ونفس الفكرة يعني لا توجد فيهم الخمسة فكرة جديدة واحد منهم بست بدالهم كلهم لكن بدنا نعطيك نفس الموضوع بفكرة جديدة نفس الموضوع هكتب لمثال جديد يبقى example", "tokens": [2304, 15040, 5016, 19913, 9957, 16472, 3224, 5551, 9778, 3215, 8315, 47525, 1211, 9673, 12984, 6027, 16490, 2304, 3794, 3660, 4032, 28820, 3224, 44945, 2304, 8592, 1829, 44945, 36178, 16712, 4117, 31371, 4117, 4032, 1863, 36178, 27188, 4117, 25720, 37495, 22653, 20193, 33427, 7435, 3215, 8978, 16095, 33962, 2304, 3794, 3660, 6156, 4117, 25720, 10874, 16254, 41891, 36764, 24401, 9154, 16095, 4724, 14851, 47525, 6027, 16095, 28242, 16095, 44381, 47525, 8315, 8717, 3615, 9566, 1829, 4117, 8717, 36178, 9673, 2407, 11242, 45367, 4724, 5172, 4117, 25720, 10874, 16254, 41891, 8717, 36178, 9673, 2407, 11242, 45367, 8032, 4117, 2655, 3555, 32767, 12984, 6027, 10874, 16254, 3215, 7251, 3555, 4587, 7578, 1365], "avg_logprob": -0.1247184676630003, "compression_ratio": 1.9384615384615385, "no_speech_prob": 0.0, "words": [{"start": 2060.66, "end": 2061.9, "word": "ملاحظين", "probability": 0.7982177734375}, {"start": 2061.9, "end": 2062.76, "word": " انه", "probability": 0.522705078125}, {"start": 2062.76, "end": 2063.24, "word": " أخدنا", "probability": 0.8060302734375}, {"start": 2063.24, "end": 2063.62, "word": " بدل", "probability": 0.96923828125}, {"start": 2063.62, "end": 2064.3, "word": " المثال", "probability": 0.98388671875}, {"start": 2064.3, "end": 2065.08, "word": " خمسة", "probability": 0.9407958984375}, {"start": 2065.08, "end": 2066.12, "word": " وكله", "probability": 0.765625}, {"start": 2066.12, "end": 2066.94, "word": " بنمشي", "probability": 0.964111328125}, {"start": 2066.94, "end": 2067.54, "word": " بنفس", "probability": 0.9853515625}, {"start": 2067.54, "end": 2068.5, "word": " التكتيك", "probability": 0.8260498046875}, {"start": 2068.5, "end": 2069.14, "word": " ونفس", "probability": 0.93359375}, {"start": 2069.14, "end": 2069.88, "word": " الفكرة", "probability": 0.98681640625}, {"start": 2069.88, "end": 2070.7, "word": " يعني", "probability": 0.802001953125}, {"start": 2070.7, "end": 2071.04, "word": " لا", "probability": 0.8896484375}, {"start": 2071.04, "end": 2071.76, "word": " توجد", "probability": 0.8777669270833334}, {"start": 2071.76, "end": 2072.16, "word": " فيهم", "probability": 0.9814453125}, {"start": 2072.16, "end": 2072.94, "word": " الخمسة", "probability": 0.98681640625}, {"start": 2072.94, "end": 2073.48, "word": " فكرة", "probability": 0.9850260416666666}, {"start": 2073.48, "end": 2074.24, "word": " جديدة", "probability": 0.9915364583333334}, {"start": 2074.24, "end": 2075.32, "word": " واحد", "probability": 0.935302734375}, {"start": 2075.32, "end": 2075.74, "word": " منهم", "probability": 0.993408203125}, {"start": 2075.74, "end": 2076.2, "word": " بست", "probability": 0.5654296875}, {"start": 2076.2, "end": 2076.82, "word": " بدالهم", "probability": 0.9142252604166666}, {"start": 2076.82, "end": 2077.58, "word": " كلهم", "probability": 0.97998046875}, {"start": 2077.58, "end": 2078.84, "word": " لكن", "probability": 0.6845703125}, {"start": 2078.84, "end": 2079.66, "word": " بدنا", "probability": 0.79248046875}, {"start": 2079.66, "end": 2080.26, "word": " نعطيك", "probability": 0.99638671875}, {"start": 2080.26, "end": 2080.7, "word": " نفس", "probability": 0.99755859375}, {"start": 2080.7, "end": 2081.56, "word": " الموضوع", "probability": 0.9986572265625}, {"start": 2081.56, "end": 2082.24, "word": " بفكرة", "probability": 0.989013671875}, {"start": 2082.24, "end": 2082.84, "word": " جديدة", "probability": 0.9913736979166666}, {"start": 2082.84, "end": 2084.08, "word": " نفس", "probability": 0.97412109375}, {"start": 2084.08, "end": 2084.8, "word": " الموضوع", "probability": 0.998291015625}, {"start": 2084.8, "end": 2085.32, "word": " هكتب", "probability": 0.8492431640625}, {"start": 2085.32, "end": 2086.2, "word": " لمثال", "probability": 0.8251139322916666}, {"start": 2086.2, "end": 2086.74, "word": " جديد", "probability": 0.9943033854166666}, {"start": 2086.74, "end": 2087.62, "word": " يبقى", "probability": 0.9393310546875}, {"start": 2087.62, "end": 2088.18, "word": " example", "probability": 0.86328125}], "temperature": 1.0}, {"id": 92, "seek": 210561, "start": 2094.11, "end": 2105.61, "text": "Find the value of the constant A", "tokens": [37, 471, 264, 2158, 295, 264, 5754, 316], "avg_logprob": -0.3923611111111111, "compression_ratio": 0.8888888888888888, "no_speech_prob": 0.0, "words": [{"start": 2094.1099999999997, "end": 2095.5099999999998, "word": "Find", "probability": 0.6597900390625}, {"start": 2095.5099999999998, "end": 2096.91, "word": " the", "probability": 0.5830078125}, {"start": 2096.91, "end": 2098.65, "word": " value", "probability": 0.94921875}, {"start": 2098.65, "end": 2100.19, "word": " of", "probability": 0.97412109375}, {"start": 2100.19, "end": 2101.73, "word": " the", "probability": 0.794921875}, {"start": 2101.73, "end": 2103.95, "word": " constant", "probability": 0.9658203125}, {"start": 2103.95, "end": 2105.61, "word": " A", "probability": 0.654296875}], "temperature": 1.0}, {"id": 93, "seek": 214211, "start": 2115.03, "end": 2142.11, "text": "Such that limit لما ال X tends to zero لل A to the power X زائد X أس واحد على X يساوي أربعة E مرة دي بنا في أحدى الامتحانات سؤال شبيه بهذا السؤال فكر كيف بدنا نحل هذا السؤال", "tokens": [50, 625, 300, 4948, 5296, 15042, 2423, 1783, 12258, 281, 4018, 24976, 316, 281, 264, 1347, 1783, 30767, 16373, 3215, 1783, 5551, 3794, 36764, 24401, 15844, 1783, 7251, 3794, 995, 45865, 5551, 25513, 27884, 462, 3714, 25720, 11778, 1829, 4724, 8315, 8978, 5551, 24401, 7578, 2423, 10943, 2655, 5016, 7649, 9307, 8608, 33604, 6027, 13412, 21292, 3224, 39627, 15730, 21136, 33604, 6027, 6156, 37983, 9122, 33911, 47525, 8315, 8717, 5016, 1211, 23758, 21136, 33604, 6027], "avg_logprob": -0.2104235175800951, "compression_ratio": 1.467032967032967, "no_speech_prob": 0.0, "words": [{"start": 2115.03, "end": 2115.51, "word": "Such", "probability": 0.489166259765625}, {"start": 2115.51, "end": 2116.19, "word": " that", "probability": 0.943359375}, {"start": 2116.19, "end": 2117.35, "word": " limit", "probability": 0.8154296875}, {"start": 2117.35, "end": 2118.61, "word": " لما", "probability": 0.695068359375}, {"start": 2118.61, "end": 2118.83, "word": " ال", "probability": 0.74462890625}, {"start": 2118.83, "end": 2119.15, "word": " X", "probability": 0.53515625}, {"start": 2119.15, "end": 2119.61, "word": " tends", "probability": 0.77490234375}, {"start": 2119.61, "end": 2119.87, "word": " to", "probability": 0.98291015625}, {"start": 2119.87, "end": 2120.37, "word": " zero", "probability": 0.5556640625}, {"start": 2120.37, "end": 2121.37, "word": " لل", "probability": 0.55615234375}, {"start": 2121.37, "end": 2121.89, "word": " A", "probability": 0.42626953125}, {"start": 2121.89, "end": 2122.07, "word": " to", "probability": 0.69189453125}, {"start": 2122.07, "end": 2122.41, "word": " the", "probability": 0.9189453125}, {"start": 2122.41, "end": 2122.91, "word": " power", "probability": 0.81884765625}, {"start": 2122.91, "end": 2123.55, "word": " X", "probability": 0.88623046875}, {"start": 2123.55, "end": 2124.61, "word": " زائد", "probability": 0.8683268229166666}, {"start": 2124.61, "end": 2125.25, "word": " X", "probability": 0.9853515625}, {"start": 2125.25, "end": 2126.15, "word": " أس", "probability": 0.7421875}, {"start": 2126.15, "end": 2126.81, "word": " واحد", "probability": 0.9150390625}, {"start": 2126.81, "end": 2127.19, "word": " على", "probability": 0.70068359375}, {"start": 2127.19, "end": 2127.67, "word": " X", "probability": 0.9794921875}, {"start": 2127.67, "end": 2128.61, "word": " يساوي", "probability": 0.9388427734375}, {"start": 2128.61, "end": 2129.39, "word": " أربعة", "probability": 0.8292643229166666}, {"start": 2129.39, "end": 2129.67, "word": " E", "probability": 0.378173828125}, {"start": 2129.67, "end": 2132.65, "word": " مرة", "probability": 0.868896484375}, {"start": 2132.65, "end": 2132.81, "word": " دي", "probability": 0.7169189453125}, {"start": 2132.81, "end": 2133.01, "word": " بنا", "probability": 0.6351318359375}, {"start": 2133.01, "end": 2133.19, "word": " في", "probability": 0.9716796875}, {"start": 2133.19, "end": 2133.57, "word": " أحدى", "probability": 0.7198079427083334}, {"start": 2133.57, "end": 2134.53, "word": " الامتحانات", "probability": 0.952880859375}, {"start": 2134.53, "end": 2135.01, "word": " سؤال", "probability": 0.98193359375}, {"start": 2135.01, "end": 2135.79, "word": " شبيه", "probability": 0.86376953125}, {"start": 2135.79, "end": 2136.49, "word": " بهذا", "probability": 0.963134765625}, {"start": 2136.49, "end": 2137.17, "word": " السؤال", "probability": 0.9778645833333334}, {"start": 2137.17, "end": 2138.77, "word": " فكر", "probability": 0.96142578125}, {"start": 2138.77, "end": 2139.81, "word": " كيف", "probability": 0.97314453125}, {"start": 2139.81, "end": 2140.17, "word": " بدنا", "probability": 0.87890625}, {"start": 2140.17, "end": 2140.77, "word": " نحل", "probability": 0.9913736979166666}, {"start": 2140.77, "end": 2141.35, "word": " هذا", "probability": 0.97607421875}, {"start": 2141.35, "end": 2142.11, "word": " السؤال", "probability": 0.9973958333333334}], "temperature": 1.0}, {"id": 94, "seek": 215673, "start": 2143.26, "end": 2156.74, "text": "وعبال ممسح اللوح بدك تكون فكرت وعطيتن الإجابة طيب السؤال هو كيف ننحل هذا السؤال؟", "tokens": [45367, 3555, 6027, 3714, 2304, 3794, 5016, 13672, 2407, 5016, 47525, 4117, 6055, 30544, 6156, 37983, 2655, 4032, 3615, 9566, 36081, 1863, 33688, 7435, 16758, 3660, 23032, 1829, 3555, 21136, 33604, 6027, 31439, 9122, 33911, 8717, 1863, 5016, 1211, 23758, 21136, 33604, 6027, 22807], "avg_logprob": -0.17777778307596842, "compression_ratio": 1.4174757281553398, "no_speech_prob": 0.0, "words": [{"start": 2143.26, "end": 2143.88, "word": "وعبال", "probability": 0.5152994791666666}, {"start": 2143.88, "end": 2144.4, "word": " ممسح", "probability": 0.90087890625}, {"start": 2144.4, "end": 2144.86, "word": " اللوح", "probability": 0.873046875}, {"start": 2144.86, "end": 2145.28, "word": " بدك", "probability": 0.780029296875}, {"start": 2145.28, "end": 2145.64, "word": " تكون", "probability": 0.959228515625}, {"start": 2145.64, "end": 2146.32, "word": " فكرت", "probability": 0.9485677083333334}, {"start": 2146.32, "end": 2147.08, "word": " وعطيتن", "probability": 0.80732421875}, {"start": 2147.08, "end": 2148.46, "word": " الإجابة", "probability": 0.925537109375}, {"start": 2148.46, "end": 2152.8, "word": " طيب", "probability": 0.8041178385416666}, {"start": 2152.8, "end": 2154.44, "word": " السؤال", "probability": 0.9563802083333334}, {"start": 2154.44, "end": 2154.66, "word": " هو", "probability": 0.951171875}, {"start": 2154.66, "end": 2155.04, "word": " كيف", "probability": 0.947021484375}, {"start": 2155.04, "end": 2155.6, "word": " ننحل", "probability": 0.794677734375}, {"start": 2155.6, "end": 2155.88, "word": " هذا", "probability": 0.986328125}, {"start": 2155.88, "end": 2156.74, "word": " السؤال؟", "probability": 0.98193359375}], "temperature": 1.0}, {"id": 95, "seek": 217348, "start": 2157.68, "end": 2173.48, "text": "نجي لسؤالنا هذا، يبقى السؤال هذا بمسك الطرف الشمال و كانوا ماعيش خبر مين، الطرف اليمين الأربع خطوات، طبعا؟ و بعدين الله بحلها، يبقى بدي أروح أقول هنا الـ", "tokens": [1863, 7435, 1829, 5296, 3794, 33604, 6027, 8315, 23758, 12399, 7251, 3555, 4587, 7578, 21136, 33604, 6027, 23758, 4724, 2304, 3794, 4117, 41950, 28480, 25124, 2304, 6027, 4032, 25961, 14407, 19446, 3615, 1829, 8592, 16490, 26890, 3714, 9957, 12399, 41950, 28480, 2423, 32640, 9957, 16247, 25513, 3615, 16490, 9566, 2407, 9307, 12399, 23032, 3555, 3615, 995, 22807, 4032, 39182, 9957, 21984, 4724, 5016, 1211, 11296, 12399, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 32887, 5016, 5551, 39648, 34105, 2423, 39184], "avg_logprob": -0.1988811698960669, "compression_ratio": 1.8169934640522876, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 2157.68, "end": 2158.6, "word": "نجي", "probability": 0.566650390625}, {"start": 2158.6, "end": 2159.26, "word": " لسؤالنا", "probability": 0.937109375}, {"start": 2159.26, "end": 2160.2, "word": " هذا،", "probability": 0.6904296875}, {"start": 2160.2, "end": 2160.52, "word": " يبقى", "probability": 0.9793701171875}, {"start": 2160.52, "end": 2161.0, "word": " السؤال", "probability": 0.9962565104166666}, {"start": 2161.0, "end": 2161.46, "word": " هذا", "probability": 0.9599609375}, {"start": 2161.46, "end": 2162.16, "word": " بمسك", "probability": 0.79248046875}, {"start": 2162.16, "end": 2162.58, "word": " الطرف", "probability": 0.951171875}, {"start": 2162.58, "end": 2163.06, "word": " الشمال", "probability": 0.9736328125}, {"start": 2163.06, "end": 2163.2, "word": " و", "probability": 0.85888671875}, {"start": 2163.2, "end": 2163.48, "word": " كانوا", "probability": 0.6290283203125}, {"start": 2163.48, "end": 2163.78, "word": " ماعيش", "probability": 0.969482421875}, {"start": 2163.78, "end": 2164.12, "word": " خبر", "probability": 0.96630859375}, {"start": 2164.12, "end": 2165.2, "word": " مين،", "probability": 0.6753743489583334}, {"start": 2165.2, "end": 2165.8, "word": " الطرف", "probability": 0.9814453125}, {"start": 2165.8, "end": 2166.48, "word": " اليمين", "probability": 0.86962890625}, {"start": 2166.48, "end": 2167.26, "word": " الأربع", "probability": 0.7481282552083334}, {"start": 2167.26, "end": 2168.3, "word": " خطوات،", "probability": 0.8830078125}, {"start": 2168.3, "end": 2169.28, "word": " طبعا؟", "probability": 0.797314453125}, {"start": 2169.28, "end": 2169.44, "word": " و", "probability": 0.75439453125}, {"start": 2169.44, "end": 2169.86, "word": " بعدين", "probability": 0.92431640625}, {"start": 2169.86, "end": 2170.1, "word": " الله", "probability": 0.9453125}, {"start": 2170.1, "end": 2171.16, "word": " بحلها،", "probability": 0.888671875}, {"start": 2171.16, "end": 2171.56, "word": " يبقى", "probability": 0.9908447265625}, {"start": 2171.56, "end": 2171.84, "word": " بدي", "probability": 0.745849609375}, {"start": 2171.84, "end": 2172.28, "word": " أروح", "probability": 0.9440104166666666}, {"start": 2172.28, "end": 2172.74, "word": " أقول", "probability": 0.92333984375}, {"start": 2172.74, "end": 2173.16, "word": " هنا", "probability": 0.9765625}, {"start": 2173.16, "end": 2173.48, "word": " الـ", "probability": 0.514404296875}], "temperature": 1.0}, {"id": 96, "seek": 219080, "start": 2174.36, "end": 2190.8, "text": "الـ F of X يساوي لـ A to the power X زائد X أس واحد على X وبدنا نحاول نجيب مقدار الثابت A من خلال ال limit والإجابة اللي لنا لـ 4A", "tokens": [6027, 39184, 479, 295, 1783, 7251, 3794, 995, 45865, 5296, 39184, 316, 281, 264, 1347, 1783, 30767, 16373, 3215, 1783, 5551, 3794, 36764, 24401, 15844, 1783, 4032, 44510, 8315, 8717, 5016, 995, 12610, 8717, 7435, 1829, 3555, 3714, 28543, 9640, 6024, 104, 16758, 2655, 316, 9154, 16490, 1211, 6027, 2423, 4948, 16070, 28814, 7435, 16758, 3660, 13672, 1829, 5296, 8315, 5296, 39184, 1017, 32], "avg_logprob": -0.35144230769230766, "compression_ratio": 1.3355263157894737, "no_speech_prob": 0.0, "words": [{"start": 2174.36, "end": 2174.8, "word": "الـ", "probability": 0.35858154296875}, {"start": 2174.8, "end": 2175.08, "word": " F", "probability": 0.483154296875}, {"start": 2175.08, "end": 2175.48, "word": " of", "probability": 0.436279296875}, {"start": 2175.48, "end": 2175.96, "word": " X", "probability": 0.93896484375}, {"start": 2175.96, "end": 2177.72, "word": " يساوي", "probability": 0.8355712890625}, {"start": 2177.72, "end": 2178.28, "word": " لـ", "probability": 0.53369140625}, {"start": 2178.28, "end": 2178.48, "word": " A", "probability": 0.62646484375}, {"start": 2178.48, "end": 2178.74, "word": " to", "probability": 0.03125}, {"start": 2178.74, "end": 2178.98, "word": " the", "probability": 0.92041015625}, {"start": 2178.98, "end": 2179.42, "word": " power", "probability": 0.8779296875}, {"start": 2179.42, "end": 2179.92, "word": " X", "probability": 0.9189453125}, {"start": 2179.92, "end": 2180.58, "word": " زائد", "probability": 0.7794596354166666}, {"start": 2180.58, "end": 2180.94, "word": " X", "probability": 0.9892578125}, {"start": 2180.94, "end": 2181.32, "word": " أس", "probability": 0.79931640625}, {"start": 2181.32, "end": 2181.76, "word": " واحد", "probability": 0.648681640625}, {"start": 2181.76, "end": 2181.98, "word": " على", "probability": 0.495849609375}, {"start": 2181.98, "end": 2182.3, "word": " X", "probability": 0.986328125}, {"start": 2182.3, "end": 2183.2, "word": " وبدنا", "probability": 0.5167643229166666}, {"start": 2183.2, "end": 2183.72, "word": " نحاول", "probability": 0.989013671875}, {"start": 2183.72, "end": 2184.1, "word": " نجيب", "probability": 0.9364013671875}, {"start": 2184.1, "end": 2185.28, "word": " مقدار", "probability": 0.83251953125}, {"start": 2185.28, "end": 2185.98, "word": " الثابت", "probability": 0.8699951171875}, {"start": 2185.98, "end": 2186.34, "word": " A", "probability": 0.80859375}, {"start": 2186.34, "end": 2186.5, "word": " من", "probability": 0.865234375}, {"start": 2186.5, "end": 2187.34, "word": " خلال", "probability": 0.9957682291666666}, {"start": 2187.34, "end": 2188.06, "word": " ال", "probability": 0.6103515625}, {"start": 2188.06, "end": 2188.52, "word": " limit", "probability": 0.5634765625}, {"start": 2188.52, "end": 2189.38, "word": " والإجابة", "probability": 0.83994140625}, {"start": 2189.38, "end": 2189.6, "word": " اللي", "probability": 0.846923828125}, {"start": 2189.6, "end": 2189.7, "word": " لنا", "probability": 0.65625}, {"start": 2189.7, "end": 2190.04, "word": " لـ", "probability": 0.2855224609375}, {"start": 2190.04, "end": 2190.8, "word": " 4A", "probability": 0.675048828125}], "temperature": 1.0}, {"id": 97, "seek": 220794, "start": 2191.45, "end": 2207.95, "text": "يبقى بعد ذلك نروح ناخد limit للطرفين يبقى لن ال F of X بده ساوي واحد على X لن ال A to the power X زائد X بعد ذلك نروح ناخد limit للطرفين", "tokens": [1829, 3555, 4587, 7578, 39182, 29910, 23275, 8717, 32887, 5016, 8717, 47283, 3215, 4948, 24976, 9566, 28480, 9957, 7251, 3555, 4587, 7578, 5296, 1863, 2423, 479, 295, 1783, 47525, 3224, 8608, 995, 45865, 36764, 24401, 15844, 1783, 5296, 1863, 2423, 316, 281, 264, 1347, 1783, 30767, 16373, 3215, 1783, 39182, 29910, 23275, 8717, 32887, 5016, 8717, 47283, 3215, 4948, 24976, 9566, 28480, 9957], "avg_logprob": -0.28710936522111297, "compression_ratio": 1.5820895522388059, "no_speech_prob": 0.0, "words": [{"start": 2191.45, "end": 2191.87, "word": "يبقى", "probability": 0.76763916015625}, {"start": 2191.87, "end": 2192.07, "word": " بعد", "probability": 0.859375}, {"start": 2192.07, "end": 2192.23, "word": " ذلك", "probability": 0.673828125}, {"start": 2192.23, "end": 2192.59, "word": " نروح", "probability": 0.515625}, {"start": 2192.59, "end": 2193.05, "word": " ناخد", "probability": 0.93994140625}, {"start": 2193.05, "end": 2193.43, "word": " limit", "probability": 0.71875}, {"start": 2193.43, "end": 2194.57, "word": " للطرفين", "probability": 0.966552734375}, {"start": 2194.57, "end": 2195.91, "word": " يبقى", "probability": 0.86383056640625}, {"start": 2195.91, "end": 2196.39, "word": " لن", "probability": 0.43719482421875}, {"start": 2196.39, "end": 2196.67, "word": " ال", "probability": 0.76708984375}, {"start": 2196.67, "end": 2197.11, "word": " F", "probability": 0.55078125}, {"start": 2197.11, "end": 2197.57, "word": " of", "probability": 0.71826171875}, {"start": 2197.57, "end": 2198.11, "word": " X", "probability": 0.92578125}, {"start": 2198.11, "end": 2198.75, "word": " بده", "probability": 0.4432373046875}, {"start": 2198.75, "end": 2199.21, "word": " ساوي", "probability": 0.5721028645833334}, {"start": 2199.21, "end": 2199.85, "word": " واحد", "probability": 0.785888671875}, {"start": 2199.85, "end": 2200.21, "word": " على", "probability": 0.6025390625}, {"start": 2200.21, "end": 2200.71, "word": " X", "probability": 0.9423828125}, {"start": 2200.71, "end": 2201.65, "word": " لن", "probability": 0.945068359375}, {"start": 2201.65, "end": 2201.87, "word": " ال", "probability": 0.82568359375}, {"start": 2201.87, "end": 2202.17, "word": " A", "probability": 0.89453125}, {"start": 2202.17, "end": 2202.39, "word": " to", "probability": 0.916015625}, {"start": 2202.39, "end": 2202.69, "word": " the", "probability": 0.91357421875}, {"start": 2202.69, "end": 2203.05, "word": " power", "probability": 0.489501953125}, {"start": 2203.05, "end": 2203.55, "word": " X", "probability": 0.9482421875}, {"start": 2203.55, "end": 2204.23, "word": " زائد", "probability": 0.92626953125}, {"start": 2204.23, "end": 2204.73, "word": " X", "probability": 0.58544921875}, {"start": 2204.73, "end": 2205.53, "word": " بعد", "probability": 0.75341796875}, {"start": 2205.53, "end": 2205.75, "word": " ذلك", "probability": 0.89306640625}, {"start": 2205.75, "end": 2206.03, "word": " نروح", "probability": 0.8649088541666666}, {"start": 2206.03, "end": 2206.41, "word": " ناخد", "probability": 0.9964192708333334}, {"start": 2206.41, "end": 2206.83, "word": " limit", "probability": 0.97705078125}, {"start": 2206.83, "end": 2207.95, "word": " للطرفين", "probability": 0.9940185546875}], "temperature": 1.0}, {"id": 98, "seek": 223496, "start": 2208.21, "end": 2234.97, "text": "يبقى هذا بيعطيك limit لإن ال f of x لما ال x بدها تروح ل zero بده يساوي limit لما ال x tends to zero لمن؟ لإن ال a to the power x زائد x كله على من؟ على x لو جيت و عوضت تعويض مباشر يبقى zero a of zero", "tokens": [1829, 3555, 4587, 7578, 23758, 4724, 1829, 3615, 9566, 1829, 4117, 4948, 5296, 28814, 1863, 2423, 283, 295, 2031, 5296, 15042, 2423, 2031, 47525, 11296, 6055, 32887, 5016, 5296, 4018, 47525, 3224, 7251, 3794, 995, 45865, 4948, 5296, 15042, 2423, 2031, 12258, 281, 4018, 5296, 27842, 22807, 5296, 28814, 1863, 2423, 257, 281, 264, 1347, 2031, 30767, 16373, 3215, 2031, 28242, 3224, 15844, 9154, 22807, 15844, 2031, 45164, 10874, 36081, 4032, 6225, 2407, 11242, 2655, 37279, 45865, 11242, 3714, 3555, 33599, 2288, 7251, 3555, 4587, 7578, 4018, 257, 295, 4018], "avg_logprob": -0.2412431253181709, "compression_ratio": 1.5638297872340425, "no_speech_prob": 0.0, "words": [{"start": 2208.21, "end": 2208.85, "word": "يبقى", "probability": 0.806640625}, {"start": 2208.85, "end": 2209.13, "word": " هذا", "probability": 0.8388671875}, {"start": 2209.13, "end": 2210.25, "word": " بيعطيك", "probability": 0.7096964518229166}, {"start": 2210.25, "end": 2210.97, "word": " limit", "probability": 0.78564453125}, {"start": 2210.97, "end": 2212.21, "word": " لإن", "probability": 0.8070475260416666}, {"start": 2212.21, "end": 2212.53, "word": " ال", "probability": 0.642578125}, {"start": 2212.53, "end": 2212.87, "word": " f", "probability": 0.2410888671875}, {"start": 2212.87, "end": 2213.35, "word": " of", "probability": 0.77978515625}, {"start": 2213.35, "end": 2213.85, "word": " x", "probability": 0.9462890625}, {"start": 2213.85, "end": 2214.79, "word": " لما", "probability": 0.900390625}, {"start": 2214.79, "end": 2215.01, "word": " ال", "probability": 0.8408203125}, {"start": 2215.01, "end": 2215.39, "word": " x", "probability": 0.8017578125}, {"start": 2215.39, "end": 2215.87, "word": " بدها", "probability": 0.828857421875}, {"start": 2215.87, "end": 2216.39, "word": " تروح", "probability": 0.94970703125}, {"start": 2216.39, "end": 2216.59, "word": " ل", "probability": 0.93212890625}, {"start": 2216.59, "end": 2217.09, "word": " zero", "probability": 0.280029296875}, {"start": 2217.09, "end": 2217.95, "word": " بده", "probability": 0.6878662109375}, {"start": 2217.95, "end": 2218.43, "word": " يساوي", "probability": 0.8389892578125}, {"start": 2218.43, "end": 2218.97, "word": " limit", "probability": 0.939453125}, {"start": 2218.97, "end": 2219.75, "word": " لما", "probability": 0.9658203125}, {"start": 2219.75, "end": 2219.93, "word": " ال", "probability": 0.9541015625}, {"start": 2219.93, "end": 2220.15, "word": " x", "probability": 0.96142578125}, {"start": 2220.15, "end": 2220.49, "word": " tends", "probability": 0.82861328125}, {"start": 2220.49, "end": 2220.71, "word": " to", "probability": 0.96435546875}, {"start": 2220.71, "end": 2221.25, "word": " zero", "probability": 0.78955078125}, {"start": 2221.25, "end": 2222.59, "word": " لمن؟", "probability": 0.5807291666666666}, {"start": 2222.59, "end": 2223.35, "word": " لإن", "probability": 0.9375}, {"start": 2223.35, "end": 2223.65, "word": " ال", "probability": 0.86328125}, {"start": 2223.65, "end": 2223.97, "word": " a", "probability": 0.86279296875}, {"start": 2223.97, "end": 2224.19, "word": " to", "probability": 0.765625}, {"start": 2224.19, "end": 2224.45, "word": " the", "probability": 0.931640625}, {"start": 2224.45, "end": 2224.91, "word": " power", "probability": 0.89794921875}, {"start": 2224.91, "end": 2225.49, "word": " x", "probability": 0.91650390625}, {"start": 2225.49, "end": 2226.23, "word": " زائد", "probability": 0.8396809895833334}, {"start": 2226.23, "end": 2226.71, "word": " x", "probability": 0.97509765625}, {"start": 2226.71, "end": 2227.49, "word": " كله", "probability": 0.933349609375}, {"start": 2227.49, "end": 2227.69, "word": " على", "probability": 0.73583984375}, {"start": 2227.69, "end": 2228.39, "word": " من؟", "probability": 0.85986328125}, {"start": 2228.39, "end": 2228.89, "word": " على", "probability": 0.84228515625}, {"start": 2228.89, "end": 2229.33, "word": " x", "probability": 0.955078125}, {"start": 2229.33, "end": 2230.35, "word": " لو", "probability": 0.77294921875}, {"start": 2230.35, "end": 2230.65, "word": " جيت", "probability": 0.89892578125}, {"start": 2230.65, "end": 2230.75, "word": " و", "probability": 0.69091796875}, {"start": 2230.75, "end": 2231.31, "word": " عوضت", "probability": 0.7060546875}, {"start": 2231.31, "end": 2231.83, "word": " تعويض", "probability": 0.7957356770833334}, {"start": 2231.83, "end": 2232.53, "word": " مباشر", "probability": 0.993896484375}, {"start": 2232.53, "end": 2233.21, "word": " يبقى", "probability": 0.946044921875}, {"start": 2233.21, "end": 2233.69, "word": " zero", "probability": 0.66796875}, {"start": 2233.69, "end": 2234.17, "word": " a", "probability": 0.56884765625}, {"start": 2234.17, "end": 2234.45, "word": " of", "probability": 0.369873046875}, {"start": 2234.45, "end": 2234.97, "word": " zero", "probability": 0.8505859375}], "temperature": 1.0}, {"id": 99, "seek": 226189, "start": 2235.95, "end": 2261.89, "text": "بواحد لنا الواحد بزيرو على زيرو يبقى صورة هذه زيرو على زيرو تمام؟ مدام زيرو على زيرو إذا بقدر استخدم قاعدة لبتن كويس يبقى واحد على ا والسكس زائد ال X في مشتقة ما داخل اللين ا to the power X في جداش؟", "tokens": [3555, 14407, 24401, 5296, 8315, 2423, 14407, 24401, 4724, 11622, 13546, 2407, 15844, 30767, 13546, 2407, 7251, 3555, 4587, 7578, 20328, 13063, 3660, 29538, 30767, 13546, 2407, 15844, 30767, 13546, 2407, 46811, 10943, 22807, 3714, 3215, 10943, 30767, 13546, 2407, 15844, 30767, 13546, 2407, 11933, 15730, 4724, 28543, 2288, 44713, 9778, 40448, 12174, 995, 22488, 3660, 5296, 3555, 2655, 1863, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 1975, 16070, 3794, 4117, 3794, 30767, 16373, 3215, 2423, 1783, 8978, 37893, 2655, 28671, 19446, 11778, 47283, 1211, 13672, 9957, 1975, 281, 264, 1347, 1783, 8978, 10874, 3215, 33599, 22807], "avg_logprob": -0.3406559476757994, "compression_ratio": 1.8, "no_speech_prob": 0.0, "words": [{"start": 2235.95, "end": 2236.83, "word": "بواحد", "probability": 0.4619547526041667}, {"start": 2236.83, "end": 2237.57, "word": " لنا", "probability": 0.54345703125}, {"start": 2237.57, "end": 2238.27, "word": " الواحد", "probability": 0.9723307291666666}, {"start": 2238.27, "end": 2239.41, "word": " بزيرو", "probability": 0.583526611328125}, {"start": 2239.41, "end": 2239.95, "word": " على", "probability": 0.80908203125}, {"start": 2239.95, "end": 2240.33, "word": " زيرو", "probability": 0.8878580729166666}, {"start": 2240.33, "end": 2240.55, "word": " يبقى", "probability": 0.8231201171875}, {"start": 2240.55, "end": 2240.93, "word": " صورة", "probability": 0.62548828125}, {"start": 2240.93, "end": 2241.13, "word": " هذه", "probability": 0.2171630859375}, {"start": 2241.13, "end": 2241.49, "word": " زيرو", "probability": 0.769775390625}, {"start": 2241.49, "end": 2241.67, "word": " على", "probability": 0.86767578125}, {"start": 2241.67, "end": 2242.17, "word": " زيرو", "probability": 0.9825846354166666}, {"start": 2242.17, "end": 2243.09, "word": " تمام؟", "probability": 0.6337890625}, {"start": 2243.09, "end": 2243.91, "word": " مدام", "probability": 0.8055013020833334}, {"start": 2243.91, "end": 2244.33, "word": " زيرو", "probability": 0.86865234375}, {"start": 2244.33, "end": 2244.55, "word": " على", "probability": 0.9423828125}, {"start": 2244.55, "end": 2244.97, "word": " زيرو", "probability": 0.9869791666666666}, {"start": 2244.97, "end": 2245.27, "word": " إذا", "probability": 0.700927734375}, {"start": 2245.27, "end": 2245.77, "word": " بقدر", "probability": 0.9654947916666666}, {"start": 2245.77, "end": 2246.47, "word": " استخدم", "probability": 0.8538411458333334}, {"start": 2246.47, "end": 2247.37, "word": " قاعدة", "probability": 0.99169921875}, {"start": 2247.37, "end": 2248.39, "word": " لبتن", "probability": 0.472686767578125}, {"start": 2248.39, "end": 2249.49, "word": " كويس", "probability": 0.9293619791666666}, {"start": 2249.49, "end": 2250.01, "word": " يبقى", "probability": 0.94921875}, {"start": 2250.01, "end": 2250.91, "word": " واحد", "probability": 0.989501953125}, {"start": 2250.91, "end": 2251.79, "word": " على", "probability": 0.8505859375}, {"start": 2251.79, "end": 2252.21, "word": " ا", "probability": 0.301025390625}, {"start": 2252.21, "end": 2253.01, "word": " والسكس", "probability": 0.63909912109375}, {"start": 2253.01, "end": 2253.77, "word": " زائد", "probability": 0.97021484375}, {"start": 2253.77, "end": 2254.01, "word": " ال", "probability": 0.88720703125}, {"start": 2254.01, "end": 2254.37, "word": " X", "probability": 0.68798828125}, {"start": 2254.37, "end": 2254.87, "word": " في", "probability": 0.87109375}, {"start": 2254.87, "end": 2255.69, "word": " مشتقة", "probability": 0.8644205729166666}, {"start": 2255.69, "end": 2255.97, "word": " ما", "probability": 0.703125}, {"start": 2255.97, "end": 2256.71, "word": " داخل", "probability": 0.9500325520833334}, {"start": 2256.71, "end": 2257.43, "word": " اللين", "probability": 0.26177978515625}, {"start": 2257.43, "end": 2258.15, "word": " ا", "probability": 0.1878662109375}, {"start": 2258.15, "end": 2259.13, "word": " to", "probability": 0.6162109375}, {"start": 2259.13, "end": 2259.45, "word": " the", "probability": 0.93505859375}, {"start": 2259.45, "end": 2260.21, "word": " power", "probability": 0.8857421875}, {"start": 2260.21, "end": 2260.95, "word": " X", "probability": 0.83056640625}, {"start": 2260.95, "end": 2261.15, "word": " في", "probability": 0.82177734375}, {"start": 2261.15, "end": 2261.89, "word": " جداش؟", "probability": 0.7855224609375}], "temperature": 1.0}, {"id": 100, "seek": 228916, "start": 2262.28, "end": 2289.16, "text": "لأن الـ a تمامًا مذاكرينه كويس زاد واحد يبقى واحد على a to the power x زاد x في مشتقة هذا المقار a to the power x لإن ال a ومشتقة ال x يامين بواحد كله على مشتقة المقام جداش بواحد صحيح يبقى هذا يساوي طب لو جيت عوّط عن ال x ب zero بده أشوف لإيش بوصل", "tokens": [1211, 33456, 2423, 39184, 257, 46811, 10943, 14111, 995, 3714, 15730, 37983, 9957, 3224, 9122, 45865, 3794, 30767, 18513, 36764, 24401, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 257, 281, 264, 1347, 2031, 30767, 18513, 2031, 8978, 37893, 2655, 28671, 23758, 9673, 4587, 9640, 257, 281, 264, 1347, 2031, 5296, 28814, 1863, 2423, 257, 4032, 2304, 8592, 2655, 28671, 2423, 2031, 7251, 10943, 9957, 4724, 14407, 24401, 28242, 3224, 15844, 37893, 2655, 28671, 9673, 4587, 10943, 10874, 3215, 33599, 4724, 14407, 24401, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 23758, 7251, 3794, 995, 45865, 23032, 3555, 45164, 10874, 36081, 6225, 2407, 11703, 9566, 18871, 2423, 2031, 4724, 4018, 47525, 3224, 5551, 8592, 38688, 5296, 28814, 1829, 8592, 4724, 2407, 36520], "avg_logprob": -0.23591188866584029, "compression_ratio": 1.8035714285714286, "no_speech_prob": 0.0, "words": [{"start": 2262.28, "end": 2263.0, "word": "لأن", "probability": 0.34881591796875}, {"start": 2263.0, "end": 2263.3, "word": " الـ", "probability": 0.638427734375}, {"start": 2263.3, "end": 2263.48, "word": " a", "probability": 0.251220703125}, {"start": 2263.48, "end": 2264.08, "word": " تمامًا", "probability": 0.8275146484375}, {"start": 2264.08, "end": 2264.92, "word": " مذاكرينه", "probability": 0.6587890625}, {"start": 2264.92, "end": 2265.46, "word": " كويس", "probability": 0.85888671875}, {"start": 2265.46, "end": 2266.74, "word": " زاد", "probability": 0.5460205078125}, {"start": 2266.74, "end": 2267.56, "word": " واحد", "probability": 0.922119140625}, {"start": 2267.56, "end": 2268.36, "word": " يبقى", "probability": 0.9383544921875}, {"start": 2268.36, "end": 2268.84, "word": " واحد", "probability": 0.982666015625}, {"start": 2268.84, "end": 2269.06, "word": " على", "probability": 0.75927734375}, {"start": 2269.06, "end": 2269.32, "word": " a", "probability": 0.5556640625}, {"start": 2269.32, "end": 2269.46, "word": " to", "probability": 0.2147216796875}, {"start": 2269.46, "end": 2269.6, "word": " the", "probability": 0.90625}, {"start": 2269.6, "end": 2269.92, "word": " power", "probability": 0.85595703125}, {"start": 2269.92, "end": 2270.18, "word": " x", "probability": 0.63427734375}, {"start": 2270.18, "end": 2270.48, "word": " زاد", "probability": 0.908447265625}, {"start": 2270.48, "end": 2270.66, "word": " x", "probability": 0.96240234375}, {"start": 2270.66, "end": 2270.86, "word": " في", "probability": 0.88427734375}, {"start": 2270.86, "end": 2271.5, "word": " مشتقة", "probability": 0.8570963541666666}, {"start": 2271.5, "end": 2271.78, "word": " هذا", "probability": 0.92919921875}, {"start": 2271.78, "end": 2272.52, "word": " المقار", "probability": 0.7042643229166666}, {"start": 2272.52, "end": 2273.22, "word": " a", "probability": 0.92822265625}, {"start": 2273.22, "end": 2273.36, "word": " to", "probability": 0.96923828125}, {"start": 2273.36, "end": 2273.54, "word": " the", "probability": 0.912109375}, {"start": 2273.54, "end": 2273.78, "word": " power", "probability": 0.896484375}, {"start": 2273.78, "end": 2274.06, "word": " x", "probability": 0.96875}, {"start": 2274.06, "end": 2274.36, "word": " لإن", "probability": 0.8211263020833334}, {"start": 2274.36, "end": 2274.54, "word": " ال", "probability": 0.8720703125}, {"start": 2274.54, "end": 2274.64, "word": " a", "probability": 0.7109375}, {"start": 2274.64, "end": 2275.32, "word": " ومشتقة", "probability": 0.895703125}, {"start": 2275.32, "end": 2275.5, "word": " ال", "probability": 0.9541015625}, {"start": 2275.5, "end": 2275.68, "word": " x", "probability": 0.8349609375}, {"start": 2275.68, "end": 2276.22, "word": " يامين", "probability": 0.8043619791666666}, {"start": 2276.22, "end": 2277.3, "word": " بواحد", "probability": 0.7870279947916666}, {"start": 2277.3, "end": 2277.94, "word": " كله", "probability": 0.8798828125}, {"start": 2277.94, "end": 2278.14, "word": " على", "probability": 0.923828125}, {"start": 2278.14, "end": 2278.78, "word": " مشتقة", "probability": 0.9728190104166666}, {"start": 2278.78, "end": 2279.32, "word": " المقام", "probability": 0.9729817708333334}, {"start": 2279.32, "end": 2280.14, "word": " جداش", "probability": 0.7556966145833334}, {"start": 2280.14, "end": 2281.08, "word": " بواحد", "probability": 0.8870442708333334}, {"start": 2281.08, "end": 2281.8, "word": " صحيح", "probability": 0.9630126953125}, {"start": 2281.8, "end": 2282.72, "word": " يبقى", "probability": 0.9642333984375}, {"start": 2282.72, "end": 2283.08, "word": " هذا", "probability": 0.96875}, {"start": 2283.08, "end": 2283.74, "word": " يساوي", "probability": 0.833251953125}, {"start": 2283.74, "end": 2284.38, "word": " طب", "probability": 0.893310546875}, {"start": 2284.38, "end": 2284.62, "word": " لو", "probability": 0.982421875}, {"start": 2284.62, "end": 2284.92, "word": " جيت", "probability": 0.730224609375}, {"start": 2284.92, "end": 2285.52, "word": " عوّط", "probability": 0.7294921875}, {"start": 2285.52, "end": 2285.76, "word": " عن", "probability": 0.9833984375}, {"start": 2285.76, "end": 2285.92, "word": " ال", "probability": 0.97412109375}, {"start": 2285.92, "end": 2286.24, "word": " x", "probability": 0.78271484375}, {"start": 2286.24, "end": 2286.46, "word": " ب", "probability": 0.96630859375}, {"start": 2286.46, "end": 2286.92, "word": " zero", "probability": 0.359619140625}, {"start": 2286.92, "end": 2287.48, "word": " بده", "probability": 0.3839111328125}, {"start": 2287.48, "end": 2287.7, "word": " أشوف", "probability": 0.8704427083333334}, {"start": 2287.7, "end": 2288.32, "word": " لإيش", "probability": 0.8961181640625}, {"start": 2288.32, "end": 2289.16, "word": " بوصل", "probability": 0.9293619791666666}], "temperature": 1.0}, {"id": 101, "seek": 231598, "start": 2289.89, "end": 2315.99, "text": "أو الـ Zero يبقى بضال عندي إلا لإن الـ A زائد واحد هذا Zero أو Zero بواحد يبقى هذا كله على واحد مظبوط يبقى مادام هيك مضالش عندي إلا لإن ال A زائد واحد يبقى هذا هو اللي بدي سوى أربعة E مظبوط يعني الكلام غلط طيب ماشي موافقين", "tokens": [10721, 2407, 2423, 39184, 17182, 7251, 3555, 4587, 7578, 4724, 11242, 6027, 18871, 16254, 11933, 15040, 5296, 28814, 1863, 2423, 39184, 316, 30767, 16373, 3215, 36764, 24401, 23758, 17182, 5551, 2407, 17182, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 23758, 28242, 3224, 15844, 36764, 24401, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 3714, 18513, 10943, 39896, 4117, 3714, 11242, 6027, 8592, 18871, 16254, 11933, 15040, 5296, 28814, 1863, 2423, 316, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 23758, 31439, 13672, 1829, 4724, 16254, 8608, 2407, 7578, 5551, 25513, 27884, 462, 3714, 19913, 3555, 2407, 9566, 37495, 22653, 2423, 28820, 10943, 32771, 1211, 9566, 23032, 1829, 3555, 3714, 33599, 1829, 3714, 14407, 5172, 4587, 9957], "avg_logprob": -0.2594537684897415, "compression_ratio": 1.9947643979057592, "no_speech_prob": 0.0, "words": [{"start": 2289.89, "end": 2290.45, "word": "أو", "probability": 0.185302734375}, {"start": 2290.45, "end": 2290.71, "word": " الـ", "probability": 0.6448974609375}, {"start": 2290.71, "end": 2291.01, "word": " Zero", "probability": 0.486083984375}, {"start": 2291.01, "end": 2292.23, "word": " يبقى", "probability": 0.890625}, {"start": 2292.23, "end": 2292.65, "word": " بضال", "probability": 0.4444986979166667}, {"start": 2292.65, "end": 2293.29, "word": " عندي", "probability": 0.7239990234375}, {"start": 2293.29, "end": 2293.69, "word": " إلا", "probability": 0.7066650390625}, {"start": 2293.69, "end": 2294.05, "word": " لإن", "probability": 0.5763346354166666}, {"start": 2294.05, "end": 2294.31, "word": " الـ", "probability": 0.681884765625}, {"start": 2294.31, "end": 2294.69, "word": " A", "probability": 0.6201171875}, {"start": 2294.69, "end": 2295.25, "word": " زائد", "probability": 0.766845703125}, {"start": 2295.25, "end": 2295.63, "word": " واحد", "probability": 0.912841796875}, {"start": 2295.63, "end": 2296.99, "word": " هذا", "probability": 0.67529296875}, {"start": 2296.99, "end": 2298.13, "word": " Zero", "probability": 0.8349609375}, {"start": 2298.13, "end": 2298.97, "word": " أو", "probability": 0.683349609375}, {"start": 2298.97, "end": 2299.41, "word": " Zero", "probability": 0.55078125}, {"start": 2299.41, "end": 2299.97, "word": " بواحد", "probability": 0.9552408854166666}, {"start": 2299.97, "end": 2300.25, "word": " يبقى", "probability": 0.8826904296875}, {"start": 2300.25, "end": 2300.45, "word": " هذا", "probability": 0.84423828125}, {"start": 2300.45, "end": 2300.85, "word": " كله", "probability": 0.97265625}, {"start": 2300.85, "end": 2301.09, "word": " على", "probability": 0.91796875}, {"start": 2301.09, "end": 2301.83, "word": " واحد", "probability": 0.989501953125}, {"start": 2301.83, "end": 2302.75, "word": " مظبوط", "probability": 0.83896484375}, {"start": 2302.75, "end": 2303.49, "word": " يبقى", "probability": 0.884765625}, {"start": 2303.49, "end": 2303.89, "word": " مادام", "probability": 0.6944986979166666}, {"start": 2303.89, "end": 2304.15, "word": " هيك", "probability": 0.885498046875}, {"start": 2304.15, "end": 2304.67, "word": " مضالش", "probability": 0.68017578125}, {"start": 2304.67, "end": 2304.95, "word": " عندي", "probability": 0.96728515625}, {"start": 2304.95, "end": 2305.25, "word": " إلا", "probability": 0.97802734375}, {"start": 2305.25, "end": 2305.81, "word": " لإن", "probability": 0.9376627604166666}, {"start": 2305.81, "end": 2306.13, "word": " ال", "probability": 0.9736328125}, {"start": 2306.13, "end": 2306.55, "word": " A", "probability": 0.6376953125}, {"start": 2306.55, "end": 2307.39, "word": " زائد", "probability": 0.9661458333333334}, {"start": 2307.39, "end": 2307.91, "word": " واحد", "probability": 0.99169921875}, {"start": 2307.91, "end": 2308.77, "word": " يبقى", "probability": 0.9906005859375}, {"start": 2308.77, "end": 2309.07, "word": " هذا", "probability": 0.9345703125}, {"start": 2309.07, "end": 2309.25, "word": " هو", "probability": 0.98828125}, {"start": 2309.25, "end": 2309.43, "word": " اللي", "probability": 0.945068359375}, {"start": 2309.43, "end": 2309.63, "word": " بدي", "probability": 0.5657958984375}, {"start": 2309.63, "end": 2309.99, "word": " سوى", "probability": 0.5493977864583334}, {"start": 2309.99, "end": 2310.55, "word": " أربعة", "probability": 0.7727864583333334}, {"start": 2310.55, "end": 2310.75, "word": " E", "probability": 0.57275390625}, {"start": 2310.75, "end": 2311.33, "word": " مظبوط", "probability": 0.9505859375}, {"start": 2311.33, "end": 2312.91, "word": " يعني", "probability": 0.516143798828125}, {"start": 2312.91, "end": 2313.29, "word": " الكلام", "probability": 0.8668619791666666}, {"start": 2313.29, "end": 2313.69, "word": " غلط", "probability": 0.94677734375}, {"start": 2313.69, "end": 2314.83, "word": " طيب", "probability": 0.85107421875}, {"start": 2314.83, "end": 2315.31, "word": " ماشي", "probability": 0.9654947916666666}, {"start": 2315.31, "end": 2315.99, "word": " موافقين", "probability": 0.956640625}], "temperature": 1.0}, {"id": 102, "seek": 233533, "start": 2317.71, "end": 2335.33, "text": "هذه هي limit للدالة وليست limit للإن الدالة احنا اللي حصلنا عليه هذا هو limit للإن الدالة اه يعني بناء عليها بلعنا لسه الخطوة الرابعة هذول التلات خطوات اذا بروح للخطوة الرابعة و بقول limit", "tokens": [3224, 24192, 39896, 4948, 24976, 3215, 6027, 3660, 4032, 20292, 14851, 4948, 24976, 28814, 1863, 32748, 6027, 3660, 1975, 5016, 8315, 13672, 1829, 11331, 36520, 8315, 47356, 23758, 31439, 4948, 24976, 28814, 1863, 32748, 6027, 3660, 1975, 3224, 37495, 22653, 44945, 16606, 6225, 20292, 11296, 4724, 1211, 3615, 8315, 5296, 3794, 3224, 33962, 9566, 2407, 3660, 34892, 16758, 27884, 8032, 8848, 12610, 16712, 1211, 9307, 16490, 9566, 2407, 9307, 1975, 15730, 4724, 32887, 5016, 24976, 9778, 9566, 2407, 3660, 34892, 16758, 27884, 4032, 4724, 39648, 4948], "avg_logprob": -0.33800286534188806, "compression_ratio": 1.9754601226993864, "no_speech_prob": 0.0, "words": [{"start": 2317.71, "end": 2318.63, "word": "هذه", "probability": 0.505615234375}, {"start": 2318.63, "end": 2318.93, "word": " هي", "probability": 0.321533203125}, {"start": 2318.93, "end": 2319.41, "word": " limit", "probability": 0.5029296875}, {"start": 2319.41, "end": 2320.05, "word": " للدالة", "probability": 0.5450439453125}, {"start": 2320.05, "end": 2320.91, "word": " وليست", "probability": 0.8162434895833334}, {"start": 2320.91, "end": 2321.31, "word": " limit", "probability": 0.947265625}, {"start": 2321.31, "end": 2321.91, "word": " للإن", "probability": 0.4970703125}, {"start": 2321.91, "end": 2322.55, "word": " الدالة", "probability": 0.9127604166666666}, {"start": 2322.55, "end": 2323.35, "word": " احنا", "probability": 0.7099202473958334}, {"start": 2323.35, "end": 2323.49, "word": " اللي", "probability": 0.864501953125}, {"start": 2323.49, "end": 2324.07, "word": " حصلنا", "probability": 0.9837239583333334}, {"start": 2324.07, "end": 2324.35, "word": " عليه", "probability": 0.60546875}, {"start": 2324.35, "end": 2324.59, "word": " هذا", "probability": 0.52392578125}, {"start": 2324.59, "end": 2324.89, "word": " هو", "probability": 0.96875}, {"start": 2324.89, "end": 2325.49, "word": " limit", "probability": 0.91357421875}, {"start": 2325.49, "end": 2326.17, "word": " للإن", "probability": 0.9208984375}, {"start": 2326.17, "end": 2326.95, "word": " الدالة", "probability": 0.9931640625}, {"start": 2326.95, "end": 2327.99, "word": " اه", "probability": 0.572021484375}, {"start": 2327.99, "end": 2328.35, "word": " يعني", "probability": 0.87939453125}, {"start": 2328.35, "end": 2328.73, "word": " بناء", "probability": 0.933837890625}, {"start": 2328.73, "end": 2329.09, "word": " عليها", "probability": 0.37689208984375}, {"start": 2329.09, "end": 2329.43, "word": " بلعنا", "probability": 0.67449951171875}, {"start": 2329.43, "end": 2329.75, "word": " لسه", "probability": 0.799072265625}, {"start": 2329.75, "end": 2330.19, "word": " الخطوة", "probability": 0.927001953125}, {"start": 2330.19, "end": 2330.65, "word": " الرابعة", "probability": 0.9806315104166666}, {"start": 2330.65, "end": 2330.97, "word": " هذول", "probability": 0.4098307291666667}, {"start": 2330.97, "end": 2331.31, "word": " التلات", "probability": 0.8243815104166666}, {"start": 2331.31, "end": 2331.95, "word": " خطوات", "probability": 0.9632568359375}, {"start": 2331.95, "end": 2332.53, "word": " اذا", "probability": 0.6868896484375}, {"start": 2332.53, "end": 2332.93, "word": " بروح", "probability": 0.974609375}, {"start": 2332.93, "end": 2333.49, "word": " للخطوة", "probability": 0.852294921875}, {"start": 2333.49, "end": 2333.87, "word": " الرابعة", "probability": 0.9905598958333334}, {"start": 2333.87, "end": 2334.01, "word": " و", "probability": 0.68603515625}, {"start": 2334.01, "end": 2334.51, "word": " بقول", "probability": 0.95068359375}, {"start": 2334.51, "end": 2335.33, "word": " limit", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 103, "seek": 235098, "start": 2336.49, "end": 2350.99, "text": "للـ F of X لما الـ X بده يروح للـ Zero بده يساوي E أُس لان اللي هو مين الـ A زائد واحد، هيك بالكلامنا صحيح", "tokens": [1211, 1211, 39184, 479, 295, 1783, 5296, 15042, 2423, 39184, 1783, 47525, 3224, 7251, 32887, 5016, 24976, 39184, 17182, 47525, 3224, 7251, 3794, 995, 45865, 462, 5551, 10859, 3794, 5296, 7649, 13672, 1829, 31439, 3714, 9957, 2423, 39184, 316, 30767, 16373, 3215, 36764, 24401, 12399, 39896, 4117, 20666, 28820, 10943, 8315, 20328, 5016, 1829, 5016], "avg_logprob": -0.3406808152794838, "compression_ratio": 1.3435114503816794, "no_speech_prob": 0.0, "words": [{"start": 2336.49, "end": 2337.11, "word": "للـ", "probability": 0.5263671875}, {"start": 2337.11, "end": 2337.37, "word": " F", "probability": 0.4052734375}, {"start": 2337.37, "end": 2337.73, "word": " of", "probability": 0.62890625}, {"start": 2337.73, "end": 2338.11, "word": " X", "probability": 0.9501953125}, {"start": 2338.11, "end": 2339.05, "word": " لما", "probability": 0.773681640625}, {"start": 2339.05, "end": 2339.29, "word": " الـ", "probability": 0.77490234375}, {"start": 2339.29, "end": 2339.55, "word": " X", "probability": 0.9609375}, {"start": 2339.55, "end": 2339.91, "word": " بده", "probability": 0.4228515625}, {"start": 2339.91, "end": 2340.17, "word": " يروح", "probability": 0.9796549479166666}, {"start": 2340.17, "end": 2340.69, "word": " للـ", "probability": 0.804443359375}, {"start": 2340.69, "end": 2341.13, "word": " Zero", "probability": 0.5390625}, {"start": 2341.13, "end": 2342.23, "word": " بده", "probability": 0.76025390625}, {"start": 2342.23, "end": 2342.77, "word": " يساوي", "probability": 0.941650390625}, {"start": 2342.77, "end": 2343.63, "word": " E", "probability": 0.86767578125}, {"start": 2343.63, "end": 2344.49, "word": " أُس", "probability": 0.7194010416666666}, {"start": 2344.49, "end": 2345.85, "word": " لان", "probability": 0.54718017578125}, {"start": 2345.85, "end": 2346.63, "word": " اللي", "probability": 0.693115234375}, {"start": 2346.63, "end": 2346.81, "word": " هو", "probability": 0.95849609375}, {"start": 2346.81, "end": 2347.21, "word": " مين", "probability": 0.66455078125}, {"start": 2347.21, "end": 2347.57, "word": " الـ", "probability": 0.6767578125}, {"start": 2347.57, "end": 2348.05, "word": " A", "probability": 0.59521484375}, {"start": 2348.05, "end": 2348.81, "word": " زائد", "probability": 0.7578938802083334}, {"start": 2348.81, "end": 2349.39, "word": " واحد،", "probability": 0.6700846354166666}, {"start": 2349.39, "end": 2349.81, "word": " هيك", "probability": 0.714599609375}, {"start": 2349.81, "end": 2350.57, "word": " بالكلامنا", "probability": 0.651123046875}, {"start": 2350.57, "end": 2350.99, "word": " صحيح", "probability": 0.9576416015625}], "temperature": 1.0}, {"id": 104, "seek": 237731, "start": 2352.39, "end": 2377.31, "text": "هذا من خواص اللي هو العدد a بقول e أس لإن ال a ضرب e أس واحد عند الضرب بتجمع من ال أس أس ال a و اللي إن عكس بعض بظل جداش a و e أس واحد هي ب e هيك خلصت الأربع خطوات", "tokens": [3224, 15730, 9154, 16490, 2407, 33546, 13672, 1829, 31439, 18863, 3215, 3215, 257, 4724, 39648, 308, 5551, 3794, 5296, 28814, 1863, 2423, 257, 48812, 25513, 308, 5551, 3794, 36764, 24401, 43242, 6024, 114, 25513, 39894, 7435, 2304, 3615, 9154, 2423, 5551, 3794, 5551, 3794, 2423, 257, 4032, 13672, 1829, 36145, 6225, 4117, 3794, 45030, 11242, 4724, 19913, 1211, 10874, 3215, 33599, 257, 4032, 308, 5551, 3794, 36764, 24401, 39896, 4724, 308, 39896, 4117, 16490, 1211, 9381, 2655, 16247, 25513, 3615, 16490, 9566, 2407, 9307], "avg_logprob": -0.2516544089597814, "compression_ratio": 1.7452229299363058, "no_speech_prob": 0.0, "words": [{"start": 2352.39, "end": 2353.11, "word": "هذا", "probability": 0.885009765625}, {"start": 2353.11, "end": 2353.71, "word": " من", "probability": 0.7998046875}, {"start": 2353.71, "end": 2354.51, "word": " خواص", "probability": 0.8079427083333334}, {"start": 2354.51, "end": 2355.13, "word": " اللي", "probability": 0.763916015625}, {"start": 2355.13, "end": 2355.63, "word": " هو", "probability": 0.9921875}, {"start": 2355.63, "end": 2356.55, "word": " العدد", "probability": 0.875}, {"start": 2356.55, "end": 2356.95, "word": " a", "probability": 0.290283203125}, {"start": 2356.95, "end": 2358.01, "word": " بقول", "probability": 0.86181640625}, {"start": 2358.01, "end": 2358.59, "word": " e", "probability": 0.357666015625}, {"start": 2358.59, "end": 2359.25, "word": " أس", "probability": 0.687255859375}, {"start": 2359.25, "end": 2359.97, "word": " لإن", "probability": 0.8551432291666666}, {"start": 2359.97, "end": 2360.29, "word": " ال", "probability": 0.84423828125}, {"start": 2360.29, "end": 2360.71, "word": " a", "probability": 0.7236328125}, {"start": 2360.71, "end": 2361.97, "word": " ضرب", "probability": 0.622314453125}, {"start": 2361.97, "end": 2362.95, "word": " e", "probability": 0.74560546875}, {"start": 2362.95, "end": 2363.49, "word": " أس", "probability": 0.9375}, {"start": 2363.49, "end": 2363.97, "word": " واحد", "probability": 0.9609375}, {"start": 2363.97, "end": 2364.89, "word": " عند", "probability": 0.8984375}, {"start": 2364.89, "end": 2365.45, "word": " الضرب", "probability": 0.87939453125}, {"start": 2365.45, "end": 2366.07, "word": " بتجمع", "probability": 0.9345703125}, {"start": 2366.07, "end": 2366.45, "word": " من", "probability": 0.5791015625}, {"start": 2366.45, "end": 2367.21, "word": " ال", "probability": 0.56396484375}, {"start": 2367.21, "end": 2367.57, "word": " أس", "probability": 0.821533203125}, {"start": 2367.57, "end": 2367.83, "word": " أس", "probability": 0.7958984375}, {"start": 2367.83, "end": 2368.69, "word": " ال", "probability": 0.802734375}, {"start": 2368.69, "end": 2368.93, "word": " a", "probability": 0.69482421875}, {"start": 2368.93, "end": 2369.21, "word": " و", "probability": 0.68017578125}, {"start": 2369.21, "end": 2369.25, "word": " اللي", "probability": 0.57208251953125}, {"start": 2369.25, "end": 2369.45, "word": " إن", "probability": 0.369873046875}, {"start": 2369.45, "end": 2369.87, "word": " عكس", "probability": 0.9435221354166666}, {"start": 2369.87, "end": 2370.29, "word": " بعض", "probability": 0.9970703125}, {"start": 2370.29, "end": 2370.65, "word": " بظل", "probability": 0.5120442708333334}, {"start": 2370.65, "end": 2371.49, "word": " جداش", "probability": 0.6981608072916666}, {"start": 2371.49, "end": 2372.03, "word": " a", "probability": 0.890625}, {"start": 2372.03, "end": 2372.57, "word": " و", "probability": 0.81201171875}, {"start": 2372.57, "end": 2372.79, "word": " e", "probability": 0.84375}, {"start": 2372.79, "end": 2373.11, "word": " أس", "probability": 0.968505859375}, {"start": 2373.11, "end": 2373.65, "word": " واحد", "probability": 0.985107421875}, {"start": 2373.65, "end": 2374.05, "word": " هي", "probability": 0.95654296875}, {"start": 2374.05, "end": 2374.39, "word": " ب", "probability": 0.97119140625}, {"start": 2374.39, "end": 2374.71, "word": " e", "probability": 0.388427734375}, {"start": 2374.71, "end": 2375.69, "word": " هيك", "probability": 0.5654296875}, {"start": 2375.69, "end": 2376.31, "word": " خلصت", "probability": 0.9759521484375}, {"start": 2376.31, "end": 2376.73, "word": " الأربع", "probability": 0.9150390625}, {"start": 2376.73, "end": 2377.31, "word": " خطوات", "probability": 0.9771728515625}], "temperature": 1.0}, {"id": 105, "seek": 240673, "start": 2377.58, "end": 2406.74, "text": "جالي في راسي اللي مسلمت لهذا المقبر يساوي كده؟ يبقى هذا اللي هو بيساوي أربعة ايه، مش الأولاني، تمام؟ يبقى هنا الخطأ اللي بيحصل عند الطلاب لو جيهم هذا السؤال، بوصل لهذا و بروح يساوي هذا، بلعجل عنه و يصير يبطح في المثل هذه، بدي أجيب الأيه بالعافية، تمام؟ بكون نقصة عليها الخطوة وبالتالي ضيعت يعني، جول، تلت السؤال", "tokens": [7435, 6027, 1829, 8978, 12602, 32277, 1829, 13672, 1829, 47524, 19528, 2655, 46740, 15730, 9673, 4587, 26890, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 7251, 3555, 4587, 7578, 23758, 13672, 1829, 31439, 4724, 1829, 3794, 995, 45865, 5551, 25513, 27884, 1975, 1829, 3224, 12399, 37893, 16247, 12610, 7649, 1829, 12399, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 34105, 33962, 9566, 10721, 13672, 1829, 4724, 1829, 5016, 36520, 43242, 41950, 15040, 3555, 45164, 10874, 1829, 16095, 23758, 21136, 33604, 6027, 12399, 4724, 2407, 36520, 46740, 15730, 4032, 4724, 32887, 5016, 7251, 3794, 995, 45865, 23758, 12399, 4724, 1211, 3615, 7435, 1211, 18871, 3224, 4032, 7251, 9381, 13546, 7251, 3555, 9566, 5016, 8978, 9673, 12984, 1211, 29538, 12399, 4724, 16254, 5551, 7435, 1829, 3555, 16247, 1829, 3224, 20666, 3615, 31845, 10632, 12399, 46811, 10943, 22807, 4724, 30544, 8717, 4587, 9381, 3660, 25894, 11296, 33962, 9566, 2407, 3660, 46599, 6027, 2655, 6027, 1829, 48812, 1829, 34268, 37495, 22653, 12399, 10874, 12610, 12399, 6055, 1211, 2655, 21136, 33604, 6027], "avg_logprob": -0.23016466601880012, "compression_ratio": 2.128301886792453, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2377.58, "end": 2378.04, "word": "جالي", "probability": 0.5246988932291666}, {"start": 2378.04, "end": 2378.26, "word": " في", "probability": 0.5029296875}, {"start": 2378.26, "end": 2378.54, "word": " راسي", "probability": 0.8294270833333334}, {"start": 2378.54, "end": 2378.62, "word": " اللي", "probability": 0.7529296875}, {"start": 2378.62, "end": 2379.22, "word": " مسلمت", "probability": 0.8470052083333334}, {"start": 2379.22, "end": 2379.62, "word": " لهذا", "probability": 0.747314453125}, {"start": 2379.62, "end": 2380.0, "word": " المقبر", "probability": 0.7718912760416666}, {"start": 2380.0, "end": 2380.38, "word": " يساوي", "probability": 0.9222412109375}, {"start": 2380.38, "end": 2381.16, "word": " كده؟", "probability": 0.57574462890625}, {"start": 2381.16, "end": 2382.28, "word": " يبقى", "probability": 0.857177734375}, {"start": 2382.28, "end": 2382.72, "word": " هذا", "probability": 0.94873046875}, {"start": 2382.72, "end": 2382.98, "word": " اللي", "probability": 0.961181640625}, {"start": 2382.98, "end": 2383.2, "word": " هو", "probability": 0.96484375}, {"start": 2383.2, "end": 2383.9, "word": " بيساوي", "probability": 0.91298828125}, {"start": 2383.9, "end": 2384.84, "word": " أربعة", "probability": 0.7874348958333334}, {"start": 2384.84, "end": 2385.56, "word": " ايه،", "probability": 0.65228271484375}, {"start": 2385.56, "end": 2385.9, "word": " مش", "probability": 0.96337890625}, {"start": 2385.9, "end": 2387.16, "word": " الأولاني،", "probability": 0.862255859375}, {"start": 2387.16, "end": 2388.02, "word": " تمام؟", "probability": 0.9267578125}, {"start": 2388.02, "end": 2388.36, "word": " يبقى", "probability": 0.9771728515625}, {"start": 2388.36, "end": 2388.68, "word": " هنا", "probability": 0.97265625}, {"start": 2388.68, "end": 2389.24, "word": " الخطأ", "probability": 0.97802734375}, {"start": 2389.24, "end": 2389.44, "word": " اللي", "probability": 0.983154296875}, {"start": 2389.44, "end": 2389.86, "word": " بيحصل", "probability": 0.9798583984375}, {"start": 2389.86, "end": 2390.16, "word": " عند", "probability": 0.9912109375}, {"start": 2390.16, "end": 2390.7, "word": " الطلاب", "probability": 0.9459635416666666}, {"start": 2390.7, "end": 2390.86, "word": " لو", "probability": 0.89111328125}, {"start": 2390.86, "end": 2391.24, "word": " جيهم", "probability": 0.7611490885416666}, {"start": 2391.24, "end": 2391.48, "word": " هذا", "probability": 0.79345703125}, {"start": 2391.48, "end": 2392.44, "word": " السؤال،", "probability": 0.85992431640625}, {"start": 2392.44, "end": 2393.04, "word": " بوصل", "probability": 0.89599609375}, {"start": 2393.04, "end": 2393.42, "word": " لهذا", "probability": 0.92529296875}, {"start": 2393.42, "end": 2393.56, "word": " و", "probability": 0.7412109375}, {"start": 2393.56, "end": 2393.76, "word": " بروح", "probability": 0.94677734375}, {"start": 2393.76, "end": 2394.3, "word": " يساوي", "probability": 0.963134765625}, {"start": 2394.3, "end": 2395.32, "word": " هذا،", "probability": 0.9111328125}, {"start": 2395.32, "end": 2395.76, "word": " بلعجل", "probability": 0.6685791015625}, {"start": 2395.76, "end": 2396.08, "word": " عنه", "probability": 0.89404296875}, {"start": 2396.08, "end": 2396.24, "word": " و", "probability": 0.75}, {"start": 2396.24, "end": 2396.48, "word": " يصير", "probability": 0.7890625}, {"start": 2396.48, "end": 2397.0, "word": " يبطح", "probability": 0.858642578125}, {"start": 2397.0, "end": 2397.16, "word": " في", "probability": 0.7783203125}, {"start": 2397.16, "end": 2397.58, "word": " المثل", "probability": 0.8849283854166666}, {"start": 2397.58, "end": 2397.96, "word": " هذه،", "probability": 0.642822265625}, {"start": 2397.96, "end": 2398.22, "word": " بدي", "probability": 0.605224609375}, {"start": 2398.22, "end": 2398.6, "word": " أجيب", "probability": 0.8336181640625}, {"start": 2398.6, "end": 2399.0, "word": " الأيه", "probability": 0.564453125}, {"start": 2399.0, "end": 2399.8, "word": " بالعافية،", "probability": 0.89912109375}, {"start": 2399.8, "end": 2400.8, "word": " تمام؟", "probability": 0.98486328125}, {"start": 2400.8, "end": 2401.18, "word": " بكون", "probability": 0.8154296875}, {"start": 2401.18, "end": 2401.54, "word": " نقصة", "probability": 0.857421875}, {"start": 2401.54, "end": 2401.8, "word": " عليها", "probability": 0.33935546875}, {"start": 2401.8, "end": 2402.14, "word": " الخطوة", "probability": 0.963134765625}, {"start": 2402.14, "end": 2402.96, "word": " وبالتالي", "probability": 0.853076171875}, {"start": 2402.96, "end": 2404.0, "word": " ضيعت", "probability": 0.7985026041666666}, {"start": 2404.0, "end": 2404.96, "word": " يعني،", "probability": 0.7151692708333334}, {"start": 2404.96, "end": 2405.68, "word": " جول،", "probability": 0.6647135416666666}, {"start": 2405.68, "end": 2406.06, "word": " تلت", "probability": 0.9318033854166666}, {"start": 2406.06, "end": 2406.74, "word": " السؤال", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 106, "seek": 242717, "start": 2408.01, "end": 2427.17, "text": "من هذهها بستنتج تماما ان الـ A تساوي قداشر أربعة يبقى ثابت A دوسائي أربعة لحد يناسب انتهى هذا ال section وإليكم أرقام المسائل", "tokens": [27842, 29538, 11296, 4724, 14851, 29399, 7435, 46811, 10943, 995, 16472, 2423, 39184, 316, 6055, 3794, 995, 45865, 12174, 3215, 33599, 2288, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 38637, 16758, 2655, 316, 11778, 41779, 16373, 1829, 5551, 25513, 27884, 5296, 24401, 7251, 8315, 35457, 16472, 47395, 7578, 23758, 2423, 3541, 4032, 28814, 20292, 24793, 5551, 2288, 4587, 10943, 9673, 3794, 16373, 1211], "avg_logprob": -0.36694336775690317, "compression_ratio": 1.4248366013071896, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 2408.01, "end": 2408.41, "word": "من", "probability": 0.51708984375}, {"start": 2408.41, "end": 2409.39, "word": " هذهها", "probability": 0.4996337890625}, {"start": 2409.39, "end": 2410.81, "word": " بستنتج", "probability": 0.9044189453125}, {"start": 2410.81, "end": 2411.91, "word": " تماما", "probability": 0.9788411458333334}, {"start": 2411.91, "end": 2412.59, "word": " ان", "probability": 0.513671875}, {"start": 2412.59, "end": 2412.89, "word": " الـ", "probability": 0.501708984375}, {"start": 2412.89, "end": 2413.09, "word": " A", "probability": 0.426025390625}, {"start": 2413.09, "end": 2413.61, "word": " تساوي", "probability": 0.70501708984375}, {"start": 2413.61, "end": 2414.47, "word": " قداشر", "probability": 0.5507965087890625}, {"start": 2414.47, "end": 2415.11, "word": " أربعة", "probability": 0.82080078125}, {"start": 2415.11, "end": 2415.87, "word": " يبقى", "probability": 0.9490966796875}, {"start": 2415.87, "end": 2416.51, "word": " ثابت", "probability": 0.9669596354166666}, {"start": 2416.51, "end": 2416.99, "word": " A", "probability": 0.916015625}, {"start": 2416.99, "end": 2418.33, "word": " دوسائي", "probability": 0.40570068359375}, {"start": 2418.33, "end": 2419.09, "word": " أربعة", "probability": 0.9212239583333334}, {"start": 2419.09, "end": 2420.27, "word": " لحد", "probability": 0.747314453125}, {"start": 2420.27, "end": 2420.99, "word": " يناسب", "probability": 0.317138671875}, {"start": 2420.99, "end": 2421.89, "word": " انتهى", "probability": 0.93310546875}, {"start": 2421.89, "end": 2422.43, "word": " هذا", "probability": 0.9404296875}, {"start": 2422.43, "end": 2422.59, "word": " ال", "probability": 0.6904296875}, {"start": 2422.59, "end": 2422.97, "word": " section", "probability": 0.61083984375}, {"start": 2422.97, "end": 2424.25, "word": " وإليكم", "probability": 0.8179931640625}, {"start": 2424.25, "end": 2425.43, "word": " أرقام", "probability": 0.9869384765625}, {"start": 2425.43, "end": 2427.17, "word": " المسائل", "probability": 0.9354248046875}], "temperature": 1.0}, {"id": 107, "seek": 247069, "start": 2443.8, "end": 2470.7, "text": "يبقى exercises سبعة خمسة المسائل التالية سبعة خمسة من واحد لغاية سبعة وسبعين multiple of three multiple of three وكذلك سؤال خمسة و تمانين", "tokens": [1829, 3555, 4587, 7578, 11900, 8608, 3555, 27884, 16490, 2304, 3794, 3660, 9673, 3794, 16373, 1211, 16712, 6027, 10632, 8608, 3555, 27884, 16490, 2304, 3794, 3660, 9154, 36764, 24401, 5296, 17082, 995, 10632, 8608, 3555, 27884, 4032, 35457, 3615, 9957, 3866, 295, 1045, 3866, 295, 1045, 4032, 4117, 8848, 23275, 8608, 33604, 6027, 16490, 2304, 3794, 3660, 4032, 46811, 7649, 9957], "avg_logprob": -0.10225554615739853, "compression_ratio": 1.593984962406015, "no_speech_prob": 0.0, "words": [{"start": 2443.8, "end": 2444.32, "word": "يبقى", "probability": 0.81884765625}, {"start": 2444.32, "end": 2445.26, "word": " exercises", "probability": 0.86962890625}, {"start": 2445.26, "end": 2448.7, "word": " سبعة", "probability": 0.8160807291666666}, {"start": 2448.7, "end": 2450.24, "word": " خمسة", "probability": 0.888427734375}, {"start": 2450.24, "end": 2451.64, "word": " المسائل", "probability": 0.922119140625}, {"start": 2451.64, "end": 2452.4, "word": " التالية", "probability": 0.9860026041666666}, {"start": 2452.4, "end": 2453.52, "word": " سبعة", "probability": 0.8460286458333334}, {"start": 2453.52, "end": 2454.28, "word": " خمسة", "probability": 0.989501953125}, {"start": 2454.28, "end": 2454.7, "word": " من", "probability": 0.990234375}, {"start": 2454.7, "end": 2455.72, "word": " واحد", "probability": 0.989501953125}, {"start": 2455.72, "end": 2456.5, "word": " لغاية", "probability": 0.98974609375}, {"start": 2456.5, "end": 2457.02, "word": " سبعة", "probability": 0.9676106770833334}, {"start": 2457.02, "end": 2458.08, "word": " وسبعين", "probability": 0.9127197265625}, {"start": 2458.08, "end": 2459.5, "word": " multiple", "probability": 0.77734375}, {"start": 2459.5, "end": 2460.04, "word": " of", "probability": 0.90673828125}, {"start": 2460.04, "end": 2460.74, "word": " three", "probability": 0.92919921875}, {"start": 2460.74, "end": 2461.78, "word": " multiple", "probability": 0.5029296875}, {"start": 2461.78, "end": 2463.96, "word": " of", "probability": 0.9765625}, {"start": 2463.96, "end": 2465.0, "word": " three", "probability": 0.9560546875}, {"start": 2465.0, "end": 2467.2, "word": " وكذلك", "probability": 0.8822021484375}, {"start": 2467.2, "end": 2468.34, "word": " سؤال", "probability": 0.9729817708333334}, {"start": 2468.34, "end": 2469.7, "word": " خمسة", "probability": 0.9884033203125}, {"start": 2469.7, "end": 2469.82, "word": " و", "probability": 0.82568359375}, {"start": 2469.82, "end": 2470.7, "word": " تمانين", "probability": 0.9337565104166666}], "temperature": 1.0}, {"id": 108, "seek": 249407, "start": 2473.67, "end": 2494.07, "text": "لحظين امتنعنا من هذا ال section ننتقل الان الى ال section السابع ستة اللي هو ال inverse trigonometric functions", "tokens": [1211, 5016, 19913, 9957, 1975, 2304, 2655, 1863, 3615, 8315, 9154, 23758, 2423, 3541, 8717, 29399, 4587, 1211, 2423, 7649, 2423, 7578, 2423, 3541, 21136, 16758, 3615, 8608, 2655, 3660, 13672, 1829, 31439, 2423, 17340, 35386, 266, 29470, 6828], "avg_logprob": -0.40624999031424525, "compression_ratio": 1.3305785123966942, "no_speech_prob": 0.0, "words": [{"start": 2473.67, "end": 2474.39, "word": "لحظين", "probability": 0.621124267578125}, {"start": 2474.39, "end": 2474.91, "word": " امتنعنا", "probability": 0.7548421223958334}, {"start": 2474.91, "end": 2475.05, "word": " من", "probability": 0.98046875}, {"start": 2475.05, "end": 2475.27, "word": " هذا", "probability": 0.62353515625}, {"start": 2475.27, "end": 2475.45, "word": " ال", "probability": 0.73486328125}, {"start": 2475.45, "end": 2475.69, "word": " section", "probability": 0.80029296875}, {"start": 2475.69, "end": 2476.51, "word": " ننتقل", "probability": 0.7412109375}, {"start": 2476.51, "end": 2476.89, "word": " الان", "probability": 0.853759765625}, {"start": 2476.89, "end": 2477.27, "word": " الى", "probability": 0.5267333984375}, {"start": 2477.27, "end": 2477.27, "word": " ال", "probability": 0.7099609375}, {"start": 2477.27, "end": 2477.63, "word": " section", "probability": 0.8095703125}, {"start": 2477.63, "end": 2482.59, "word": " السابع", "probability": 0.6254069010416666}, {"start": 2482.59, "end": 2483.65, "word": " ستة", "probability": 0.76806640625}, {"start": 2483.65, "end": 2484.25, "word": " اللي", "probability": 0.467041015625}, {"start": 2484.25, "end": 2484.43, "word": " هو", "probability": 0.93896484375}, {"start": 2484.43, "end": 2484.61, "word": " ال", "probability": 0.7890625}, {"start": 2484.61, "end": 2485.95, "word": " inverse", "probability": 0.8798828125}, {"start": 2485.95, "end": 2488.77, "word": " trigonometric", "probability": 0.8515625}, {"start": 2488.77, "end": 2494.07, "word": " functions", "probability": 0.54638671875}], "temperature": 1.0}, {"id": 109, "seek": 252401, "start": 2499.47, "end": 2524.01, "text": "معكوث الدوال المثلثية احنا لما درسنا معكوث الدالة قولنا المعكوث الدالة exist إذا كانت حقق شرط واحد إن الدالة كانت one to one ممتاز جدا تفضل تعالى نشوف الدوال المثلثية الستة هل هي one to one والله ماهياش one to one", "tokens": [2304, 3615, 4117, 2407, 12984, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632, 1975, 5016, 8315, 5296, 15042, 11778, 2288, 3794, 8315, 20449, 4117, 2407, 12984, 32748, 6027, 3660, 12174, 12610, 8315, 9673, 3615, 4117, 2407, 12984, 32748, 6027, 3660, 2514, 11933, 15730, 25961, 2655, 11331, 4587, 4587, 13412, 2288, 9566, 36764, 24401, 36145, 32748, 6027, 3660, 25961, 2655, 472, 281, 472, 3714, 2304, 2655, 31377, 10874, 28259, 6055, 5172, 11242, 1211, 37279, 6027, 7578, 8717, 8592, 38688, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632, 2423, 14851, 3660, 8032, 1211, 39896, 472, 281, 472, 16070, 43761, 19446, 3224, 1829, 33599, 472, 281, 472], "avg_logprob": -0.1992559523809524, "compression_ratio": 1.9615384615384615, "no_speech_prob": 0.0, "words": [{"start": 2499.47, "end": 2500.33, "word": "معكوث", "probability": 0.7228515625}, {"start": 2500.33, "end": 2501.17, "word": " الدوال", "probability": 0.8557942708333334}, {"start": 2501.17, "end": 2502.99, "word": " المثلثية", "probability": 0.96123046875}, {"start": 2502.99, "end": 2503.69, "word": " احنا", "probability": 0.6872151692708334}, {"start": 2503.69, "end": 2503.93, "word": " لما", "probability": 0.95263671875}, {"start": 2503.93, "end": 2504.43, "word": " درسنا", "probability": 0.8062744140625}, {"start": 2504.43, "end": 2505.01, "word": " معكوث", "probability": 0.86444091796875}, {"start": 2505.01, "end": 2505.73, "word": " الدالة", "probability": 0.9568684895833334}, {"start": 2505.73, "end": 2506.19, "word": " قولنا", "probability": 0.7607421875}, {"start": 2506.19, "end": 2506.81, "word": " المعكوث", "probability": 0.846484375}, {"start": 2506.81, "end": 2507.47, "word": " الدالة", "probability": 0.9908854166666666}, {"start": 2507.47, "end": 2508.25, "word": " exist", "probability": 0.68896484375}, {"start": 2508.25, "end": 2509.23, "word": " إذا", "probability": 0.7841796875}, {"start": 2509.23, "end": 2510.13, "word": " كانت", "probability": 0.922607421875}, {"start": 2510.13, "end": 2511.19, "word": " حقق", "probability": 0.7769368489583334}, {"start": 2511.19, "end": 2511.59, "word": " شرط", "probability": 0.95654296875}, {"start": 2511.59, "end": 2512.11, "word": " واحد", "probability": 0.988037109375}, {"start": 2512.11, "end": 2512.37, "word": " إن", "probability": 0.55615234375}, {"start": 2512.37, "end": 2512.95, "word": " الدالة", "probability": 0.9783528645833334}, {"start": 2512.95, "end": 2513.69, "word": " كانت", "probability": 0.9814453125}, {"start": 2513.69, "end": 2514.19, "word": " one", "probability": 0.921875}, {"start": 2514.19, "end": 2514.73, "word": " to", "probability": 0.86328125}, {"start": 2514.73, "end": 2515.23, "word": " one", "probability": 0.955078125}, {"start": 2515.23, "end": 2515.89, "word": " ممتاز", "probability": 0.6749267578125}, {"start": 2515.89, "end": 2516.25, "word": " جدا", "probability": 0.98828125}, {"start": 2516.25, "end": 2516.99, "word": " تفضل", "probability": 0.523681640625}, {"start": 2516.99, "end": 2517.31, "word": " تعالى", "probability": 0.8732096354166666}, {"start": 2517.31, "end": 2517.57, "word": " نشوف", "probability": 0.9757486979166666}, {"start": 2517.57, "end": 2518.05, "word": " الدوال", "probability": 0.8673502604166666}, {"start": 2518.05, "end": 2519.11, "word": " المثلثية", "probability": 0.99326171875}, {"start": 2519.11, "end": 2519.95, "word": " الستة", "probability": 0.8318684895833334}, {"start": 2519.95, "end": 2520.57, "word": " هل", "probability": 0.9619140625}, {"start": 2520.57, "end": 2520.79, "word": " هي", "probability": 0.92236328125}, {"start": 2520.79, "end": 2521.07, "word": " one", "probability": 0.96728515625}, {"start": 2521.07, "end": 2521.33, "word": " to", "probability": 0.9775390625}, {"start": 2521.33, "end": 2521.65, "word": " one", "probability": 0.95263671875}, {"start": 2521.65, "end": 2522.29, "word": " والله", "probability": 0.68701171875}, {"start": 2522.29, "end": 2523.17, "word": " ماهياش", "probability": 0.894287109375}, {"start": 2523.17, "end": 2523.51, "word": " one", "probability": 0.89404296875}, {"start": 2523.51, "end": 2523.81, "word": " to", "probability": 0.982421875}, {"start": 2523.81, "end": 2524.01, "word": " one", "probability": 0.9501953125}], "temperature": 1.0}, {"id": 110, "seek": 253621, "start": 2524.55, "end": 2536.21, "text": "نمسك الدالة الأولى نمرة واحدة هقول ان y تساوي sin inverse x او arc sin x", "tokens": [1863, 2304, 3794, 4117, 32748, 6027, 3660, 16247, 12610, 7578, 8717, 2304, 25720, 36764, 24401, 3660, 8032, 39648, 16472, 288, 6055, 3794, 995, 45865, 3343, 17340, 2031, 1975, 2407, 10346, 3343, 2031], "avg_logprob": -0.33238636363636365, "compression_ratio": 1.1458333333333333, "no_speech_prob": 0.0, "words": [{"start": 2524.55, "end": 2525.17, "word": "نمسك", "probability": 0.804443359375}, {"start": 2525.17, "end": 2525.77, "word": " الدالة", "probability": 0.9041341145833334}, {"start": 2525.77, "end": 2526.45, "word": " الأولى", "probability": 0.9620768229166666}, {"start": 2526.45, "end": 2526.87, "word": " نمرة", "probability": 0.56005859375}, {"start": 2526.87, "end": 2528.09, "word": " واحدة", "probability": 0.7804361979166666}, {"start": 2528.09, "end": 2528.55, "word": " هقول", "probability": 0.559814453125}, {"start": 2528.55, "end": 2528.85, "word": " ان", "probability": 0.46435546875}, {"start": 2528.85, "end": 2529.37, "word": " y", "probability": 0.2186279296875}, {"start": 2529.37, "end": 2530.29, "word": " تساوي", "probability": 0.755584716796875}, {"start": 2530.29, "end": 2531.03, "word": " sin", "probability": 0.329833984375}, {"start": 2531.03, "end": 2532.01, "word": " inverse", "probability": 0.73974609375}, {"start": 2532.01, "end": 2532.63, "word": " x", "probability": 0.7900390625}, {"start": 2532.63, "end": 2533.57, "word": " او", "probability": 0.782958984375}, {"start": 2533.57, "end": 2534.53, "word": " arc", "probability": 0.693359375}, {"start": 2534.53, "end": 2535.63, "word": " sin", "probability": 0.87158203125}, {"start": 2535.63, "end": 2536.21, "word": " x", "probability": 0.873046875}], "temperature": 1.0}, {"id": 111, "seek": 256434, "start": 2536.78, "end": 2564.34, "text": "بعض الكتب بتكتبها sin inverse x وعليها ناقص واحد وبعض الكتب بتكتبها arc sine X يعني لو روحت المكتبة وفتحت اي كتاب ولاقيت arc sine تفهم ان هذا هو معكوس الدالة المثلثية اللى قدامنا هذه طيب نجي الان للدالة المثلثية اللى arc sine X أو sin inverse X", "tokens": [3555, 3615, 11242, 33251, 2655, 3555, 39894, 4117, 2655, 3555, 11296, 3343, 17340, 2031, 4032, 3615, 20292, 11296, 8717, 995, 4587, 9381, 36764, 24401, 46599, 3615, 11242, 33251, 2655, 3555, 39894, 4117, 2655, 3555, 11296, 10346, 18609, 1783, 37495, 22653, 45164, 12602, 2407, 33753, 9673, 4117, 2655, 49401, 4032, 5172, 2655, 33753, 1975, 1829, 9122, 2655, 16758, 4032, 15040, 4587, 36081, 10346, 18609, 6055, 5172, 16095, 16472, 23758, 31439, 20449, 4117, 41779, 32748, 6027, 3660, 9673, 12984, 1211, 12984, 10632, 13672, 7578, 12174, 3215, 10943, 8315, 29538, 23032, 1829, 3555, 8717, 7435, 1829, 2423, 7649, 24976, 3215, 6027, 3660, 9673, 12984, 1211, 12984, 10632, 13672, 7578, 10346, 18609, 1783, 34051, 3343, 17340, 1783], "avg_logprob": -0.21189692407323604, "compression_ratio": 1.9411764705882353, "no_speech_prob": 0.0, "words": [{"start": 2536.78, "end": 2537.24, "word": "بعض", "probability": 0.97265625}, {"start": 2537.24, "end": 2537.66, "word": " الكتب", "probability": 0.9728190104166666}, {"start": 2537.66, "end": 2538.4, "word": " بتكتبها", "probability": 0.90712890625}, {"start": 2538.4, "end": 2538.84, "word": " sin", "probability": 0.27294921875}, {"start": 2538.84, "end": 2539.46, "word": " inverse", "probability": 0.66455078125}, {"start": 2539.46, "end": 2540.08, "word": " x", "probability": 0.5498046875}, {"start": 2540.08, "end": 2540.98, "word": " وعليها", "probability": 0.71356201171875}, {"start": 2540.98, "end": 2541.44, "word": " ناقص", "probability": 0.727874755859375}, {"start": 2541.44, "end": 2542.06, "word": " واحد", "probability": 0.965576171875}, {"start": 2542.06, "end": 2543.06, "word": " وبعض", "probability": 0.8810221354166666}, {"start": 2543.06, "end": 2543.46, "word": " الكتب", "probability": 0.98876953125}, {"start": 2543.46, "end": 2544.34, "word": " بتكتبها", "probability": 0.96884765625}, {"start": 2544.34, "end": 2545.08, "word": " arc", "probability": 0.85595703125}, {"start": 2545.08, "end": 2545.52, "word": " sine", "probability": 0.298583984375}, {"start": 2545.52, "end": 2545.68, "word": " X", "probability": 0.302734375}, {"start": 2545.68, "end": 2545.94, "word": " يعني", "probability": 0.870361328125}, {"start": 2545.94, "end": 2546.16, "word": " لو", "probability": 0.96484375}, {"start": 2546.16, "end": 2546.5, "word": " روحت", "probability": 0.8650716145833334}, {"start": 2546.5, "end": 2547.24, "word": " المكتبة", "probability": 0.915283203125}, {"start": 2547.24, "end": 2548.42, "word": " وفتحت", "probability": 0.961669921875}, {"start": 2548.42, "end": 2548.74, "word": " اي", "probability": 0.724853515625}, {"start": 2548.74, "end": 2549.18, "word": " كتاب", "probability": 0.9931640625}, {"start": 2549.18, "end": 2549.78, "word": " ولاقيت", "probability": 0.71990966796875}, {"start": 2549.78, "end": 2550.22, "word": " arc", "probability": 0.6416015625}, {"start": 2550.22, "end": 2550.56, "word": " sine", "probability": 0.77978515625}, {"start": 2550.56, "end": 2551.4, "word": " تفهم", "probability": 0.7708333333333334}, {"start": 2551.4, "end": 2551.66, "word": " ان", "probability": 0.841796875}, {"start": 2551.66, "end": 2552.04, "word": " هذا", "probability": 0.79833984375}, {"start": 2552.04, "end": 2552.28, "word": " هو", "probability": 0.95654296875}, {"start": 2552.28, "end": 2553.2, "word": " معكوس", "probability": 0.8522135416666666}, {"start": 2553.2, "end": 2554.64, "word": " الدالة", "probability": 0.9645182291666666}, {"start": 2554.64, "end": 2556.06, "word": " المثلثية", "probability": 0.9658203125}, {"start": 2556.06, "end": 2556.44, "word": " اللى", "probability": 0.761474609375}, {"start": 2556.44, "end": 2556.98, "word": " قدامنا", "probability": 0.9287109375}, {"start": 2556.98, "end": 2557.2, "word": " هذه", "probability": 0.1904296875}, {"start": 2557.2, "end": 2557.94, "word": " طيب", "probability": 0.8055826822916666}, {"start": 2557.94, "end": 2558.86, "word": " نجي", "probability": 0.8693033854166666}, {"start": 2558.86, "end": 2559.32, "word": " الان", "probability": 0.663330078125}, {"start": 2559.32, "end": 2560.34, "word": " للدالة", "probability": 0.9007568359375}, {"start": 2560.34, "end": 2561.24, "word": " المثلثية", "probability": 0.9943359375}, {"start": 2561.24, "end": 2561.42, "word": " اللى", "probability": 0.699951171875}, {"start": 2561.42, "end": 2561.9, "word": " arc", "probability": 0.6025390625}, {"start": 2561.9, "end": 2562.28, "word": " sine", "probability": 0.845703125}, {"start": 2562.28, "end": 2562.52, "word": " X", "probability": 0.7978515625}, {"start": 2562.52, "end": 2562.82, "word": " أو", "probability": 0.33056640625}, {"start": 2562.82, "end": 2563.3, "word": " sin", "probability": 0.73779296875}, {"start": 2563.3, "end": 2563.94, "word": " inverse", "probability": 0.88330078125}, {"start": 2563.94, "end": 2564.34, "word": " X", "probability": 0.927734375}], "temperature": 1.0}, {"id": 112, "seek": 259421, "start": 2566.38, "end": 2594.22, "text": "خدنا رسمتها في كل قلص ايه؟ مظبوط؟ صح؟ بتذكر تذكير ليس إلا لما كنا نرسم مكانة موجها طالعة و نازلة، مظبوط؟ و ال top قد إيه شخص حد يرسمه؟ و أقل حاجة؟ ممتاز، يبقى الرسم محصورة بين واحد و سالب واحد لو رسمت horizontal line بقطعها في مالة نهاية من النقاط، إذا", "tokens": [9778, 3215, 8315, 12602, 38251, 2655, 11296, 8978, 28242, 12174, 1211, 9381, 1975, 1829, 3224, 22807, 3714, 19913, 3555, 2407, 9566, 22807, 20328, 5016, 22807, 39894, 8848, 37983, 6055, 8848, 4117, 13546, 32239, 3794, 11933, 15040, 5296, 15042, 9122, 8315, 8717, 2288, 38251, 3714, 41361, 3660, 3714, 29245, 11296, 23032, 6027, 27884, 4032, 8717, 31377, 37977, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 4032, 2423, 1192, 12174, 3215, 11933, 1829, 3224, 13412, 9778, 9381, 11331, 3215, 7251, 2288, 38251, 3224, 22807, 4032, 5551, 4587, 1211, 11331, 26108, 3660, 22807, 3714, 2304, 2655, 31377, 12399, 7251, 3555, 4587, 7578, 34892, 38251, 3714, 5016, 9381, 13063, 3660, 49374, 36764, 24401, 4032, 8608, 6027, 3555, 36764, 24401, 45164, 12602, 38251, 2655, 12750, 1622, 4724, 47432, 3615, 11296, 8978, 3714, 6027, 3660, 8717, 11296, 10632, 9154, 28239, 4587, 41193, 12399, 11933, 15730], "avg_logprob": -0.23673561794294729, "compression_ratio": 1.7233201581027668, "no_speech_prob": 0.0, "words": [{"start": 2566.38, "end": 2566.8, "word": "خدنا", "probability": 0.4981689453125}, {"start": 2566.8, "end": 2567.48, "word": " رسمتها", "probability": 0.9481201171875}, {"start": 2567.48, "end": 2567.68, "word": " في", "probability": 0.86083984375}, {"start": 2567.68, "end": 2567.92, "word": " كل", "probability": 0.958984375}, {"start": 2567.92, "end": 2568.36, "word": " قلص", "probability": 0.6875813802083334}, {"start": 2568.36, "end": 2568.74, "word": " ايه؟", "probability": 0.7760009765625}, {"start": 2568.74, "end": 2570.06, "word": " مظبوط؟", "probability": 0.8253173828125}, {"start": 2570.06, "end": 2570.66, "word": " صح؟", "probability": 0.8224283854166666}, {"start": 2570.66, "end": 2571.76, "word": " بتذكر", "probability": 0.7858072916666666}, {"start": 2571.76, "end": 2572.66, "word": " تذكير", "probability": 0.951171875}, {"start": 2572.66, "end": 2573.32, "word": " ليس", "probability": 0.96826171875}, {"start": 2573.32, "end": 2573.74, "word": " إلا", "probability": 0.7130126953125}, {"start": 2573.74, "end": 2574.44, "word": " لما", "probability": 0.7252197265625}, {"start": 2574.44, "end": 2574.82, "word": " كنا", "probability": 0.97802734375}, {"start": 2574.82, "end": 2575.2, "word": " نرسم", "probability": 0.87255859375}, {"start": 2575.2, "end": 2575.86, "word": " مكانة", "probability": 0.7123209635416666}, {"start": 2575.86, "end": 2576.34, "word": " موجها", "probability": 0.7732747395833334}, {"start": 2576.34, "end": 2576.76, "word": " طالعة", "probability": 0.82275390625}, {"start": 2576.76, "end": 2576.94, "word": " و", "probability": 0.99169921875}, {"start": 2576.94, "end": 2577.66, "word": " نازلة،", "probability": 0.75927734375}, {"start": 2577.66, "end": 2579.12, "word": " مظبوط؟", "probability": 0.9744466145833334}, {"start": 2579.12, "end": 2579.32, "word": " و", "probability": 0.81591796875}, {"start": 2579.32, "end": 2579.52, "word": " ال", "probability": 0.67724609375}, {"start": 2579.52, "end": 2579.82, "word": " top", "probability": 0.71337890625}, {"start": 2579.82, "end": 2580.14, "word": " قد", "probability": 0.771240234375}, {"start": 2580.14, "end": 2580.36, "word": " إيه", "probability": 0.6173095703125}, {"start": 2580.36, "end": 2580.6, "word": " شخص", "probability": 0.9817708333333334}, {"start": 2580.6, "end": 2580.92, "word": " حد", "probability": 0.395263671875}, {"start": 2580.92, "end": 2581.44, "word": " يرسمه؟", "probability": 0.745361328125}, {"start": 2581.44, "end": 2581.58, "word": " و", "probability": 0.55322265625}, {"start": 2581.58, "end": 2582.14, "word": " أقل", "probability": 0.8518880208333334}, {"start": 2582.14, "end": 2582.84, "word": " حاجة؟", "probability": 0.755859375}, {"start": 2582.84, "end": 2583.98, "word": " ممتاز،", "probability": 0.91923828125}, {"start": 2583.98, "end": 2584.18, "word": " يبقى", "probability": 0.9681396484375}, {"start": 2584.18, "end": 2584.5, "word": " الرسم", "probability": 0.97412109375}, {"start": 2584.5, "end": 2585.16, "word": " محصورة", "probability": 0.8498046875}, {"start": 2585.16, "end": 2585.34, "word": " بين", "probability": 0.921875}, {"start": 2585.34, "end": 2585.7, "word": " واحد", "probability": 0.985595703125}, {"start": 2585.7, "end": 2585.84, "word": " و", "probability": 0.77490234375}, {"start": 2585.84, "end": 2586.28, "word": " سالب", "probability": 0.6915690104166666}, {"start": 2586.28, "end": 2586.62, "word": " واحد", "probability": 0.991455078125}, {"start": 2586.62, "end": 2587.2, "word": " لو", "probability": 0.70849609375}, {"start": 2587.2, "end": 2587.8, "word": " رسمت", "probability": 0.9949544270833334}, {"start": 2587.8, "end": 2588.5, "word": " horizontal", "probability": 0.734375}, {"start": 2588.5, "end": 2589.58, "word": " line", "probability": 0.962890625}, {"start": 2589.58, "end": 2591.54, "word": " بقطعها", "probability": 0.8900146484375}, {"start": 2591.54, "end": 2591.76, "word": " في", "probability": 0.96728515625}, {"start": 2591.76, "end": 2592.22, "word": " مالة", "probability": 0.6919352213541666}, {"start": 2592.22, "end": 2592.72, "word": " نهاية", "probability": 0.8846028645833334}, {"start": 2592.72, "end": 2592.92, "word": " من", "probability": 0.9892578125}, {"start": 2592.92, "end": 2593.86, "word": " النقاط،", "probability": 0.9017333984375}, {"start": 2593.86, "end": 2594.22, "word": " إذا", "probability": 0.775634765625}], "temperature": 1.0}, {"id": 113, "seek": 262235, "start": 2594.85, "end": 2622.35, "text": "الـ function ليست one to one، مظبوط؟ طيب، يبقى المعكوس غير موجود لكن إيش رايك؟ بدنا نروح ناخد جزء من ال domain يعني بدنا نعمل restriction على ال domain يعني نحصر ال domain في فترة محددة مضمن خلال هذه الفترة لو رسمت أي horizontal line، لا يقطع المنحنة إلا في نقطة M", "tokens": [6027, 39184, 2445, 32239, 14851, 472, 281, 472, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 23032, 1829, 3555, 12399, 7251, 3555, 4587, 7578, 9673, 3615, 4117, 41779, 32771, 13546, 3714, 29245, 23328, 44381, 11933, 1829, 8592, 12602, 47302, 4117, 22807, 47525, 8315, 8717, 32887, 5016, 8717, 47283, 3215, 10874, 11622, 38207, 9154, 2423, 9274, 37495, 22653, 47525, 8315, 8717, 25957, 1211, 29529, 15844, 2423, 9274, 37495, 22653, 8717, 5016, 9381, 2288, 2423, 9274, 8978, 6156, 2655, 25720, 3714, 24401, 41891, 3714, 11242, 27842, 16490, 1211, 6027, 29538, 27188, 2655, 25720, 45164, 12602, 38251, 2655, 36632, 12750, 1622, 12399, 20193, 7251, 47432, 3615, 9673, 1863, 5016, 1863, 3660, 11933, 15040, 8978, 8717, 47432, 3660, 376], "avg_logprob": -0.16535326527512592, "compression_ratio": 1.62890625, "no_speech_prob": 0.0, "words": [{"start": 2594.85, "end": 2595.23, "word": "الـ", "probability": 0.32635498046875}, {"start": 2595.23, "end": 2595.81, "word": " function", "probability": 0.399658203125}, {"start": 2595.81, "end": 2596.61, "word": " ليست", "probability": 0.922119140625}, {"start": 2596.61, "end": 2596.97, "word": " one", "probability": 0.70263671875}, {"start": 2596.97, "end": 2597.27, "word": " to", "probability": 0.833984375}, {"start": 2597.27, "end": 2598.05, "word": " one،", "probability": 0.6220703125}, {"start": 2598.05, "end": 2598.95, "word": " مظبوط؟", "probability": 0.8719889322916666}, {"start": 2598.95, "end": 2599.91, "word": " طيب،", "probability": 0.8052978515625}, {"start": 2599.91, "end": 2600.41, "word": " يبقى", "probability": 0.970458984375}, {"start": 2600.41, "end": 2601.15, "word": " المعكوس", "probability": 0.834716796875}, {"start": 2601.15, "end": 2601.57, "word": " غير", "probability": 0.99169921875}, {"start": 2601.57, "end": 2602.23, "word": " موجود", "probability": 0.9850260416666666}, {"start": 2602.23, "end": 2602.87, "word": " لكن", "probability": 0.5537109375}, {"start": 2602.87, "end": 2603.19, "word": " إيش", "probability": 0.7601725260416666}, {"start": 2603.19, "end": 2603.67, "word": " رايك؟", "probability": 0.743408203125}, {"start": 2603.67, "end": 2603.93, "word": " بدنا", "probability": 0.827880859375}, {"start": 2603.93, "end": 2604.23, "word": " نروح", "probability": 0.94921875}, {"start": 2604.23, "end": 2604.69, "word": " ناخد", "probability": 0.9677734375}, {"start": 2604.69, "end": 2605.31, "word": " جزء", "probability": 0.9954427083333334}, {"start": 2605.31, "end": 2605.63, "word": " من", "probability": 0.99658203125}, {"start": 2605.63, "end": 2605.85, "word": " ال", "probability": 0.95263671875}, {"start": 2605.85, "end": 2606.21, "word": " domain", "probability": 0.8642578125}, {"start": 2606.21, "end": 2606.95, "word": " يعني", "probability": 0.808837890625}, {"start": 2606.95, "end": 2607.27, "word": " بدنا", "probability": 0.960205078125}, {"start": 2607.27, "end": 2607.71, "word": " نعمل", "probability": 0.9970703125}, {"start": 2607.71, "end": 2608.65, "word": " restriction", "probability": 0.845703125}, {"start": 2608.65, "end": 2609.23, "word": " على", "probability": 0.88623046875}, {"start": 2609.23, "end": 2609.39, "word": " ال", "probability": 0.94873046875}, {"start": 2609.39, "end": 2609.75, "word": " domain", "probability": 0.9921875}, {"start": 2609.75, "end": 2610.65, "word": " يعني", "probability": 0.838134765625}, {"start": 2610.65, "end": 2611.31, "word": " نحصر", "probability": 0.946533203125}, {"start": 2611.31, "end": 2611.53, "word": " ال", "probability": 0.8828125}, {"start": 2611.53, "end": 2611.97, "word": " domain", "probability": 0.99755859375}, {"start": 2611.97, "end": 2612.63, "word": " في", "probability": 0.9453125}, {"start": 2612.63, "end": 2613.33, "word": " فترة", "probability": 0.99658203125}, {"start": 2613.33, "end": 2614.47, "word": " محددة", "probability": 0.9869791666666666}, {"start": 2614.47, "end": 2615.35, "word": " مضمن", "probability": 0.8658854166666666}, {"start": 2615.35, "end": 2616.31, "word": " خلال", "probability": 0.9363606770833334}, {"start": 2616.31, "end": 2616.61, "word": " هذه", "probability": 0.9609375}, {"start": 2616.61, "end": 2617.11, "word": " الفترة", "probability": 0.9920247395833334}, {"start": 2617.11, "end": 2617.33, "word": " لو", "probability": 0.70751953125}, {"start": 2617.33, "end": 2618.05, "word": " رسمت", "probability": 0.9407552083333334}, {"start": 2618.05, "end": 2618.33, "word": " أي", "probability": 0.6630859375}, {"start": 2618.33, "end": 2618.95, "word": " horizontal", "probability": 0.81494140625}, {"start": 2618.95, "end": 2619.71, "word": " line،", "probability": 0.772705078125}, {"start": 2619.71, "end": 2620.01, "word": " لا", "probability": 0.70703125}, {"start": 2620.01, "end": 2620.45, "word": " يقطع", "probability": 0.9739583333333334}, {"start": 2620.45, "end": 2621.05, "word": " المنحنة", "probability": 0.88134765625}, {"start": 2621.05, "end": 2621.35, "word": " إلا", "probability": 0.97607421875}, {"start": 2621.35, "end": 2621.59, "word": " في", "probability": 0.99072265625}, {"start": 2621.59, "end": 2622.07, "word": " نقطة", "probability": 0.9925130208333334}, {"start": 2622.07, "end": 2622.35, "word": " M", "probability": 0.373046875}], "temperature": 1.0}, {"id": 114, "seek": 264084, "start": 2624.24, "end": 2640.84, "text": "بتذكر بس برسمة الـSin أولا ثم نشوف أين اللي بدنا ناخده يبقى لو جيت لرسمة الـSin الـSin اللي عندنا بهذا الشكل هذا محور X هذا محور Y هذا نقطة الأصل اللي هي Zero", "tokens": [3555, 2655, 8848, 37983, 4724, 3794, 4724, 2288, 38251, 3660, 2423, 39184, 50, 259, 5551, 12610, 995, 38637, 2304, 8717, 8592, 38688, 5551, 9957, 13672, 1829, 47525, 8315, 8717, 47283, 3215, 3224, 7251, 3555, 4587, 7578, 45164, 10874, 36081, 5296, 2288, 38251, 3660, 2423, 39184, 50, 259, 2423, 39184, 50, 259, 13672, 1829, 43242, 8315, 39627, 15730, 25124, 28820, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 23758, 8717, 47432, 3660, 16247, 36520, 13672, 1829, 39896, 17182], "avg_logprob": -0.266015637293458, "compression_ratio": 1.7025316455696202, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2624.24, "end": 2625.24, "word": "بتذكر", "probability": 0.506439208984375}, {"start": 2625.24, "end": 2625.52, "word": " بس", "probability": 0.55078125}, {"start": 2625.52, "end": 2626.1, "word": " برسمة", "probability": 0.88134765625}, {"start": 2626.1, "end": 2626.46, "word": " الـSin", "probability": 0.5748291015625}, {"start": 2626.46, "end": 2627.08, "word": " أولا", "probability": 0.8859049479166666}, {"start": 2627.08, "end": 2627.72, "word": " ثم", "probability": 0.9228515625}, {"start": 2627.72, "end": 2628.78, "word": " نشوف", "probability": 0.5781656901041666}, {"start": 2628.78, "end": 2629.0, "word": " أين", "probability": 0.624267578125}, {"start": 2629.0, "end": 2629.2, "word": " اللي", "probability": 0.69970703125}, {"start": 2629.2, "end": 2629.5, "word": " بدنا", "probability": 0.7047119140625}, {"start": 2629.5, "end": 2630.0, "word": " ناخده", "probability": 0.9228515625}, {"start": 2630.0, "end": 2630.64, "word": " يبقى", "probability": 0.8843994140625}, {"start": 2630.64, "end": 2630.84, "word": " لو", "probability": 0.89697265625}, {"start": 2630.84, "end": 2631.12, "word": " جيت", "probability": 0.909912109375}, {"start": 2631.12, "end": 2631.88, "word": " لرسمة", "probability": 0.89501953125}, {"start": 2631.88, "end": 2632.52, "word": " الـSin", "probability": 0.913818359375}, {"start": 2632.52, "end": 2633.0, "word": " الـSin", "probability": 0.74945068359375}, {"start": 2633.0, "end": 2633.2, "word": " اللي", "probability": 0.954833984375}, {"start": 2633.2, "end": 2633.52, "word": " عندنا", "probability": 0.7470703125}, {"start": 2633.52, "end": 2633.94, "word": " بهذا", "probability": 0.97265625}, {"start": 2633.94, "end": 2634.5, "word": " الشكل", "probability": 0.98974609375}, {"start": 2634.5, "end": 2635.18, "word": " هذا", "probability": 0.7138671875}, {"start": 2635.18, "end": 2635.74, "word": " محور", "probability": 0.9812825520833334}, {"start": 2635.74, "end": 2636.18, "word": " X", "probability": 0.9365234375}, {"start": 2636.18, "end": 2636.92, "word": " هذا", "probability": 0.71044921875}, {"start": 2636.92, "end": 2637.54, "word": " محور", "probability": 0.982421875}, {"start": 2637.54, "end": 2637.96, "word": " Y", "probability": 0.9931640625}, {"start": 2637.96, "end": 2638.58, "word": " هذا", "probability": 0.381103515625}, {"start": 2638.58, "end": 2639.08, "word": " نقطة", "probability": 0.9816080729166666}, {"start": 2639.08, "end": 2639.6, "word": " الأصل", "probability": 0.86767578125}, {"start": 2639.6, "end": 2640.02, "word": " اللي", "probability": 0.8671875}, {"start": 2640.02, "end": 2640.36, "word": " هي", "probability": 0.9560546875}, {"start": 2640.36, "end": 2640.84, "word": " Zero", "probability": 0.60986328125}], "temperature": 1.0}, {"id": 115, "seek": 266321, "start": 2641.41, "end": 2663.21, "text": "اتفاقنا ان منحنى الـSin لا يزيد عن واحد بأي حال من الأحوال و لا ينزل عن من عن سالب واحد بأي حال من الأحوال إذن الدالة محصورة بين الخطين المنقطين الاتنين هدول اتنين منحنى الـSin يمر بنقطة الأصل ولا بمراش", "tokens": [995, 2655, 5172, 995, 4587, 8315, 16472, 9154, 5016, 1863, 7578, 2423, 39184, 50, 259, 20193, 7251, 11622, 25708, 18871, 36764, 24401, 4724, 10721, 1829, 11331, 6027, 9154, 16247, 5016, 2407, 6027, 4032, 20193, 7251, 1863, 11622, 1211, 18871, 9154, 18871, 8608, 6027, 3555, 36764, 24401, 4724, 10721, 1829, 11331, 6027, 9154, 16247, 5016, 2407, 6027, 11933, 8848, 1863, 32748, 6027, 3660, 3714, 5016, 9381, 13063, 3660, 49374, 33962, 9566, 9957, 9673, 1863, 47432, 9957, 2423, 9307, 1863, 9957, 8032, 3215, 12610, 1975, 2655, 1863, 9957, 9154, 5016, 1863, 7578, 2423, 39184, 50, 259, 7251, 29973, 44945, 47432, 3660, 16247, 36520, 49429, 4724, 29973, 33599], "avg_logprob": -0.297906848619569, "compression_ratio": 2.0751445086705202, "no_speech_prob": 0.0, "words": [{"start": 2641.41, "end": 2642.21, "word": "اتفاقنا", "probability": 0.6541544596354166}, {"start": 2642.21, "end": 2642.85, "word": " ان", "probability": 0.446044921875}, {"start": 2642.85, "end": 2643.63, "word": " منحنى", "probability": 0.74224853515625}, {"start": 2643.63, "end": 2644.03, "word": " الـSin", "probability": 0.61273193359375}, {"start": 2644.03, "end": 2644.27, "word": " لا", "probability": 0.18408203125}, {"start": 2644.27, "end": 2644.67, "word": " يزيد", "probability": 0.9085286458333334}, {"start": 2644.67, "end": 2644.99, "word": " عن", "probability": 0.4873046875}, {"start": 2644.99, "end": 2645.45, "word": " واحد", "probability": 0.765625}, {"start": 2645.45, "end": 2646.11, "word": " بأي", "probability": 0.7088216145833334}, {"start": 2646.11, "end": 2646.61, "word": " حال", "probability": 0.993408203125}, {"start": 2646.61, "end": 2646.91, "word": " من", "probability": 0.51953125}, {"start": 2646.91, "end": 2647.79, "word": " الأحوال", "probability": 0.9609375}, {"start": 2647.79, "end": 2648.37, "word": " و", "probability": 0.40478515625}, {"start": 2648.37, "end": 2648.53, "word": " لا", "probability": 0.5703125}, {"start": 2648.53, "end": 2648.95, "word": " ينزل", "probability": 0.9437255859375}, {"start": 2648.95, "end": 2649.35, "word": " عن", "probability": 0.5390625}, {"start": 2649.35, "end": 2649.61, "word": " من", "probability": 0.284423828125}, {"start": 2649.61, "end": 2650.75, "word": " عن", "probability": 0.70654296875}, {"start": 2650.75, "end": 2651.57, "word": " سالب", "probability": 0.8736979166666666}, {"start": 2651.57, "end": 2652.23, "word": " واحد", "probability": 0.99072265625}, {"start": 2652.23, "end": 2652.77, "word": " بأي", "probability": 0.9195963541666666}, {"start": 2652.77, "end": 2653.15, "word": " حال", "probability": 0.997314453125}, {"start": 2653.15, "end": 2653.37, "word": " من", "probability": 0.9375}, {"start": 2653.37, "end": 2653.89, "word": " الأحوال", "probability": 0.9871826171875}, {"start": 2653.89, "end": 2654.69, "word": " إذن", "probability": 0.4673665364583333}, {"start": 2654.69, "end": 2655.11, "word": " الدالة", "probability": 0.8426106770833334}, {"start": 2655.11, "end": 2655.65, "word": " محصورة", "probability": 0.9490234375}, {"start": 2655.65, "end": 2655.83, "word": " بين", "probability": 0.9541015625}, {"start": 2655.83, "end": 2656.45, "word": " الخطين", "probability": 0.8756510416666666}, {"start": 2656.45, "end": 2657.37, "word": " المنقطين", "probability": 0.921142578125}, {"start": 2657.37, "end": 2657.89, "word": " الاتنين", "probability": 0.725067138671875}, {"start": 2657.89, "end": 2658.21, "word": " هدول", "probability": 0.4299723307291667}, {"start": 2658.21, "end": 2659.53, "word": " اتنين", "probability": 0.93212890625}, {"start": 2659.53, "end": 2660.49, "word": " منحنى", "probability": 0.9404296875}, {"start": 2660.49, "end": 2660.93, "word": " الـSin", "probability": 0.9088134765625}, {"start": 2660.93, "end": 2661.27, "word": " يمر", "probability": 0.869140625}, {"start": 2661.27, "end": 2661.91, "word": " بنقطة", "probability": 0.9767252604166666}, {"start": 2661.91, "end": 2662.31, "word": " الأصل", "probability": 0.68798828125}, {"start": 2662.31, "end": 2662.51, "word": " ولا", "probability": 0.9443359375}, {"start": 2662.51, "end": 2663.21, "word": " بمراش", "probability": 0.4949544270833333}], "temperature": 1.0}, {"id": 116, "seek": 268338, "start": 2663.92, "end": 2683.38, "text": "بأمور تمام التملوجين ذكرنا برسمته حرصه بس منقط متعمد اه رسمنا هيك و برجع نازل هيك و برجع نازل و بهذا الشكل و من الناحية التانية بيجي نازل هيك و بيجي طالع و هكذا", "tokens": [3555, 10721, 2304, 13063, 46811, 10943, 16712, 42213, 29245, 9957, 29910, 37983, 8315, 4724, 2288, 38251, 47395, 11331, 2288, 9381, 3224, 4724, 3794, 9154, 47432, 44650, 25957, 3215, 1975, 3224, 12602, 38251, 8315, 39896, 4117, 4032, 4724, 47341, 3615, 8717, 31377, 1211, 39896, 4117, 4032, 4724, 47341, 3615, 8717, 31377, 1211, 4032, 39627, 15730, 25124, 28820, 4032, 9154, 2423, 8315, 5016, 10632, 16712, 7649, 10632, 4724, 1829, 7435, 1829, 8717, 31377, 1211, 39896, 4117, 4032, 4724, 1829, 7435, 1829, 23032, 6027, 3615, 4032, 8032, 4117, 15730], "avg_logprob": -0.17860991242288174, "compression_ratio": 1.9391891891891893, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2663.92, "end": 2664.64, "word": "بأمور", "probability": 0.6549072265625}, {"start": 2664.64, "end": 2665.14, "word": " تمام", "probability": 0.951171875}, {"start": 2665.14, "end": 2666.28, "word": " التملوجين", "probability": 0.620635986328125}, {"start": 2666.28, "end": 2667.04, "word": " ذكرنا", "probability": 0.72265625}, {"start": 2667.04, "end": 2667.82, "word": " برسمته", "probability": 0.8984375}, {"start": 2667.82, "end": 2668.54, "word": " حرصه", "probability": 0.76092529296875}, {"start": 2668.54, "end": 2668.82, "word": " بس", "probability": 0.8564453125}, {"start": 2668.82, "end": 2669.62, "word": " منقط", "probability": 0.76025390625}, {"start": 2669.62, "end": 2671.24, "word": " متعمد", "probability": 0.9191080729166666}, {"start": 2671.24, "end": 2671.62, "word": " اه", "probability": 0.639892578125}, {"start": 2671.62, "end": 2672.28, "word": " رسمنا", "probability": 0.92041015625}, {"start": 2672.28, "end": 2672.86, "word": " هيك", "probability": 0.861328125}, {"start": 2672.86, "end": 2672.98, "word": " و", "probability": 0.8857421875}, {"start": 2672.98, "end": 2673.4, "word": " برجع", "probability": 0.8282877604166666}, {"start": 2673.4, "end": 2673.84, "word": " نازل", "probability": 0.9129231770833334}, {"start": 2673.84, "end": 2674.56, "word": " هيك", "probability": 0.990966796875}, {"start": 2674.56, "end": 2675.12, "word": " و", "probability": 0.93115234375}, {"start": 2675.12, "end": 2675.78, "word": " برجع", "probability": 0.9365234375}, {"start": 2675.78, "end": 2676.28, "word": " نازل", "probability": 0.8907877604166666}, {"start": 2676.28, "end": 2676.38, "word": " و", "probability": 0.3564453125}, {"start": 2676.38, "end": 2676.74, "word": " بهذا", "probability": 0.803466796875}, {"start": 2676.74, "end": 2677.24, "word": " الشكل", "probability": 0.9912109375}, {"start": 2677.24, "end": 2677.82, "word": " و", "probability": 0.9443359375}, {"start": 2677.82, "end": 2678.02, "word": " من", "probability": 0.97314453125}, {"start": 2678.02, "end": 2678.62, "word": " الناحية", "probability": 0.912353515625}, {"start": 2678.62, "end": 2679.28, "word": " التانية", "probability": 0.9864908854166666}, {"start": 2679.28, "end": 2679.7, "word": " بيجي", "probability": 0.96728515625}, {"start": 2679.7, "end": 2680.14, "word": " نازل", "probability": 0.98779296875}, {"start": 2680.14, "end": 2680.96, "word": " هيك", "probability": 0.9892578125}, {"start": 2680.96, "end": 2681.06, "word": " و", "probability": 0.97802734375}, {"start": 2681.06, "end": 2681.44, "word": " بيجي", "probability": 0.957275390625}, {"start": 2681.44, "end": 2682.22, "word": " طالع", "probability": 0.9884440104166666}, {"start": 2682.22, "end": 2682.76, "word": " و", "probability": 0.7978515625}, {"start": 2682.76, "end": 2683.38, "word": " هكذا", "probability": 0.9264322916666666}], "temperature": 1.0}, {"id": 117, "seek": 270074, "start": 2685.26, "end": 2700.74, "text": "طبعا هنا zero هنا باي على اتنين وهنا باي and so on وهنا سالب باي على اتنين وهنا سالب باي على اتنين وهكذا", "tokens": [9566, 3555, 3615, 995, 34105, 4018, 34105, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 37037, 8315, 4724, 47302, 293, 370, 322, 37037, 8315, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 37037, 8315, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 37037, 4117, 15730], "avg_logprob": -0.30277423469387754, "compression_ratio": 2.0114942528735633, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2685.2599999999998, "end": 2686.6, "word": "طبعا", "probability": 0.7724609375}, {"start": 2686.6, "end": 2686.86, "word": " هنا", "probability": 0.8447265625}, {"start": 2686.86, "end": 2687.48, "word": " zero", "probability": 0.283935546875}, {"start": 2687.48, "end": 2688.38, "word": " هنا", "probability": 0.50634765625}, {"start": 2688.38, "end": 2690.04, "word": " باي", "probability": 0.3980712890625}, {"start": 2690.04, "end": 2690.38, "word": " على", "probability": 0.755859375}, {"start": 2690.38, "end": 2691.1, "word": " اتنين", "probability": 0.953857421875}, {"start": 2691.1, "end": 2692.3, "word": " وهنا", "probability": 0.5885009765625}, {"start": 2692.3, "end": 2692.96, "word": " باي", "probability": 0.796875}, {"start": 2692.96, "end": 2693.5, "word": " and", "probability": 0.4580078125}, {"start": 2693.5, "end": 2693.86, "word": " so", "probability": 0.83154296875}, {"start": 2693.86, "end": 2694.36, "word": " on", "probability": 0.96240234375}, {"start": 2694.36, "end": 2695.44, "word": " وهنا", "probability": 0.7073974609375}, {"start": 2695.44, "end": 2696.26, "word": " سالب", "probability": 0.8362630208333334}, {"start": 2696.26, "end": 2696.62, "word": " باي", "probability": 0.85009765625}, {"start": 2696.62, "end": 2696.94, "word": " على", "probability": 0.90576171875}, {"start": 2696.94, "end": 2697.62, "word": " اتنين", "probability": 0.987548828125}, {"start": 2697.62, "end": 2698.6, "word": " وهنا", "probability": 0.917236328125}, {"start": 2698.6, "end": 2699.36, "word": " سالب", "probability": 0.9840494791666666}, {"start": 2699.36, "end": 2699.74, "word": " باي", "probability": 0.89306640625}, {"start": 2699.74, "end": 2699.8, "word": " على", "probability": 0.30517578125}, {"start": 2699.8, "end": 2699.8, "word": " اتنين", "probability": 0.9840087890625}, {"start": 2699.8, "end": 2700.74, "word": " وهكذا", "probability": 0.8212890625}], "temperature": 1.0}, {"id": 118, "seek": 272914, "start": 2702.94, "end": 2729.14, "text": "بناخد فقط الجزء من المنحنى من النقطة هذه لغاية النقطة هذه يبقى المنحنى يصير عندنا من عند هذه هي بدراسة بالخط الأسود المتراصل بهذا الشكل يبقى هذا خط اللي عندنا لغاية النقطة هذه وهنا لغاية النقطة اللي عندنا هذه", "tokens": [3555, 1863, 47283, 3215, 6156, 47432, 25724, 11622, 38207, 9154, 9673, 1863, 5016, 1863, 7578, 9154, 28239, 47432, 3660, 29538, 5296, 17082, 995, 10632, 28239, 47432, 3660, 29538, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 7578, 7251, 9381, 13546, 43242, 8315, 9154, 43242, 29538, 39896, 47525, 23557, 3794, 3660, 20666, 9778, 9566, 16247, 3794, 23328, 9673, 2655, 2288, 33546, 1211, 39627, 15730, 25124, 28820, 7251, 3555, 4587, 7578, 23758, 16490, 9566, 13672, 1829, 43242, 8315, 5296, 17082, 995, 10632, 28239, 47432, 3660, 29538, 37037, 8315, 5296, 17082, 995, 10632, 28239, 47432, 3660, 13672, 1829, 43242, 8315, 29538], "avg_logprob": -0.24479166425839818, "compression_ratio": 2.347826086956522, "no_speech_prob": 0.0, "words": [{"start": 2702.94, "end": 2703.94, "word": "بناخد", "probability": 0.51593017578125}, {"start": 2703.94, "end": 2704.4, "word": " فقط", "probability": 0.7017822265625}, {"start": 2704.4, "end": 2705.4, "word": " الجزء", "probability": 0.8483072916666666}, {"start": 2705.4, "end": 2705.64, "word": " من", "probability": 0.88916015625}, {"start": 2705.64, "end": 2706.36, "word": " المنحنى", "probability": 0.785205078125}, {"start": 2706.36, "end": 2706.52, "word": " من", "probability": 0.63671875}, {"start": 2706.52, "end": 2707.12, "word": " النقطة", "probability": 0.8541666666666666}, {"start": 2707.12, "end": 2707.4, "word": " هذه", "probability": 0.7021484375}, {"start": 2707.4, "end": 2707.86, "word": " لغاية", "probability": 0.9493408203125}, {"start": 2707.86, "end": 2708.4, "word": " النقطة", "probability": 0.9720052083333334}, {"start": 2708.4, "end": 2708.74, "word": " هذه", "probability": 0.875}, {"start": 2708.74, "end": 2710.38, "word": " يبقى", "probability": 0.80596923828125}, {"start": 2710.38, "end": 2711.06, "word": " المنحنى", "probability": 0.9810546875}, {"start": 2711.06, "end": 2711.74, "word": " يصير", "probability": 0.59033203125}, {"start": 2711.74, "end": 2712.28, "word": " عندنا", "probability": 0.913330078125}, {"start": 2712.28, "end": 2712.5, "word": " من", "probability": 0.755859375}, {"start": 2712.5, "end": 2712.82, "word": " عند", "probability": 0.93359375}, {"start": 2712.82, "end": 2713.06, "word": " هذه", "probability": 0.449951171875}, {"start": 2713.06, "end": 2713.26, "word": " هي", "probability": 0.1514892578125}, {"start": 2713.26, "end": 2713.76, "word": " بدراسة", "probability": 0.67974853515625}, {"start": 2713.76, "end": 2714.58, "word": " بالخط", "probability": 0.9427083333333334}, {"start": 2714.58, "end": 2715.4, "word": " الأسود", "probability": 0.9339192708333334}, {"start": 2715.4, "end": 2716.74, "word": " المتراصل", "probability": 0.8302734375}, {"start": 2716.74, "end": 2717.8, "word": " بهذا", "probability": 0.6038818359375}, {"start": 2717.8, "end": 2718.46, "word": " الشكل", "probability": 0.98388671875}, {"start": 2718.46, "end": 2720.66, "word": " يبقى", "probability": 0.8817138671875}, {"start": 2720.66, "end": 2721.08, "word": " هذا", "probability": 0.436279296875}, {"start": 2721.08, "end": 2724.84, "word": " خط", "probability": 0.893798828125}, {"start": 2724.84, "end": 2725.08, "word": " اللي", "probability": 0.866943359375}, {"start": 2725.08, "end": 2725.38, "word": " عندنا", "probability": 0.936767578125}, {"start": 2725.38, "end": 2725.92, "word": " لغاية", "probability": 0.9886474609375}, {"start": 2725.92, "end": 2726.52, "word": " النقطة", "probability": 0.9835611979166666}, {"start": 2726.52, "end": 2726.88, "word": " هذه", "probability": 0.90869140625}, {"start": 2726.88, "end": 2727.28, "word": " وهنا", "probability": 0.650390625}, {"start": 2727.28, "end": 2727.86, "word": " لغاية", "probability": 0.9942626953125}, {"start": 2727.86, "end": 2728.36, "word": " النقطة", "probability": 0.9798177083333334}, {"start": 2728.36, "end": 2728.54, "word": " اللي", "probability": 0.929931640625}, {"start": 2728.54, "end": 2728.9, "word": " عندنا", "probability": 0.9814453125}, {"start": 2728.9, "end": 2729.14, "word": " هذه", "probability": 0.5908203125}], "temperature": 1.0}, {"id": 119, "seek": 274999, "start": 2730.51, "end": 2749.99, "text": "كويس يبقى المنحنة هذا لو رسمت اي horizontal line بلقيه يقطع المنحنة في نقطة واحدة في نقطة واحدة يبقى ضمنت من هذا ان هذه ال sign x على الفترة من سالب باية على اتنين لباية على اتنين عبارة عن one to one", "tokens": [4117, 45865, 3794, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 3660, 23758, 45164, 12602, 38251, 2655, 1975, 1829, 12750, 1622, 4724, 1211, 38436, 3224, 7251, 47432, 3615, 9673, 1863, 5016, 1863, 3660, 8978, 8717, 47432, 3660, 36764, 24401, 3660, 8978, 8717, 47432, 3660, 36764, 24401, 3660, 7251, 3555, 4587, 7578, 48812, 27842, 2655, 9154, 23758, 16472, 29538, 2423, 1465, 2031, 15844, 27188, 2655, 25720, 9154, 8608, 6027, 3555, 4724, 995, 10632, 15844, 1975, 2655, 1863, 9957, 5296, 3555, 995, 10632, 15844, 1975, 2655, 1863, 9957, 6225, 3555, 9640, 3660, 18871, 472, 281, 472], "avg_logprob": -0.22171052568837216, "compression_ratio": 1.8435754189944134, "no_speech_prob": 0.0, "words": [{"start": 2730.51, "end": 2731.13, "word": "كويس", "probability": 0.6090494791666666}, {"start": 2731.13, "end": 2732.15, "word": " يبقى", "probability": 0.8636474609375}, {"start": 2732.15, "end": 2732.83, "word": " المنحنة", "probability": 0.8689453125}, {"start": 2732.83, "end": 2733.13, "word": " هذا", "probability": 0.426513671875}, {"start": 2733.13, "end": 2733.39, "word": " لو", "probability": 0.8349609375}, {"start": 2733.39, "end": 2734.17, "word": " رسمت", "probability": 0.9435221354166666}, {"start": 2734.17, "end": 2734.65, "word": " اي", "probability": 0.6112060546875}, {"start": 2734.65, "end": 2735.51, "word": " horizontal", "probability": 0.6767578125}, {"start": 2735.51, "end": 2736.31, "word": " line", "probability": 0.970703125}, {"start": 2736.31, "end": 2737.23, "word": " بلقيه", "probability": 0.592041015625}, {"start": 2737.23, "end": 2737.57, "word": " يقطع", "probability": 0.9851888020833334}, {"start": 2737.57, "end": 2738.19, "word": " المنحنة", "probability": 0.9896484375}, {"start": 2738.19, "end": 2738.41, "word": " في", "probability": 0.498779296875}, {"start": 2738.41, "end": 2739.79, "word": " نقطة", "probability": 0.9757486979166666}, {"start": 2739.79, "end": 2739.87, "word": " واحدة", "probability": 0.96826171875}, {"start": 2739.87, "end": 2739.87, "word": " في", "probability": 0.272216796875}, {"start": 2739.87, "end": 2739.87, "word": " نقطة", "probability": 0.8678385416666666}, {"start": 2739.87, "end": 2740.03, "word": " واحدة", "probability": 0.9886067708333334}, {"start": 2740.03, "end": 2740.31, "word": " يبقى", "probability": 0.835693359375}, {"start": 2740.31, "end": 2741.07, "word": " ضمنت", "probability": 0.7819010416666666}, {"start": 2741.07, "end": 2741.33, "word": " من", "probability": 0.9599609375}, {"start": 2741.33, "end": 2741.87, "word": " هذا", "probability": 0.96240234375}, {"start": 2741.87, "end": 2742.53, "word": " ان", "probability": 0.8427734375}, {"start": 2742.53, "end": 2743.21, "word": " هذه", "probability": 0.5009765625}, {"start": 2743.21, "end": 2743.69, "word": " ال", "probability": 0.58984375}, {"start": 2743.69, "end": 2743.97, "word": " sign", "probability": 0.5029296875}, {"start": 2743.97, "end": 2744.33, "word": " x", "probability": 0.76123046875}, {"start": 2744.33, "end": 2744.63, "word": " على", "probability": 0.892578125}, {"start": 2744.63, "end": 2745.19, "word": " الفترة", "probability": 0.9903971354166666}, {"start": 2745.19, "end": 2745.45, "word": " من", "probability": 0.9755859375}, {"start": 2745.45, "end": 2745.87, "word": " سالب", "probability": 0.6376139322916666}, {"start": 2745.87, "end": 2746.13, "word": " باية", "probability": 0.65869140625}, {"start": 2746.13, "end": 2746.27, "word": " على", "probability": 0.75390625}, {"start": 2746.27, "end": 2746.49, "word": " اتنين", "probability": 0.976806640625}, {"start": 2746.49, "end": 2746.93, "word": " لباية", "probability": 0.8939208984375}, {"start": 2746.93, "end": 2747.09, "word": " على", "probability": 0.92578125}, {"start": 2747.09, "end": 2747.55, "word": " اتنين", "probability": 0.9849853515625}, {"start": 2747.55, "end": 2748.27, "word": " عبارة", "probability": 0.9293212890625}, {"start": 2748.27, "end": 2748.51, "word": " عن", "probability": 0.9921875}, {"start": 2748.51, "end": 2748.97, "word": " one", "probability": 0.89697265625}, {"start": 2748.97, "end": 2749.53, "word": " to", "probability": 0.93994140625}, {"start": 2749.53, "end": 2749.99, "word": " one", "probability": 0.953125}], "temperature": 1.0}, {"id": 120, "seek": 277807, "start": 2750.51, "end": 2778.07, "text": "طبعا مدام وانت وان يبقى المعكوس موجود يبقى بناء عليه انا بدي اخد y تساوي صين ال x و ال x هذه مش على اطلاقها و انما موجودة في ال class interval سالب by على اتنين و by على اتنين بهذا الشكل هيك ضمنت وجود من المعكوس كيف يقول", "tokens": [9566, 3555, 3615, 995, 3714, 3215, 10943, 4032, 7649, 2655, 4032, 7649, 7251, 3555, 4587, 7578, 9673, 3615, 4117, 41779, 3714, 29245, 23328, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 1975, 8315, 4724, 16254, 1975, 9778, 3215, 288, 6055, 3794, 995, 45865, 20328, 9957, 2423, 2031, 4032, 2423, 2031, 29538, 37893, 15844, 1975, 9566, 15040, 4587, 11296, 4032, 16472, 15042, 3714, 29245, 23328, 3660, 8978, 2423, 1508, 15035, 8608, 6027, 3555, 538, 15844, 1975, 2655, 1863, 9957, 4032, 538, 15844, 1975, 2655, 1863, 9957, 39627, 15730, 25124, 28820, 39896, 4117, 48812, 27842, 2655, 49610, 23328, 9154, 9673, 3615, 4117, 41779, 9122, 33911, 7251, 39648], "avg_logprob": -0.2708333333333333, "compression_ratio": 1.7714285714285714, "no_speech_prob": 0.0, "words": [{"start": 2750.51, "end": 2751.15, "word": "طبعا", "probability": 0.790252685546875}, {"start": 2751.15, "end": 2752.01, "word": " مدام", "probability": 0.5596516927083334}, {"start": 2752.01, "end": 2752.41, "word": " وانت", "probability": 0.5725911458333334}, {"start": 2752.41, "end": 2752.63, "word": " وان", "probability": 0.6199951171875}, {"start": 2752.63, "end": 2753.01, "word": " يبقى", "probability": 0.924072265625}, {"start": 2753.01, "end": 2753.95, "word": " المعكوس", "probability": 0.935302734375}, {"start": 2753.95, "end": 2754.97, "word": " موجود", "probability": 0.9853515625}, {"start": 2754.97, "end": 2755.73, "word": " يبقى", "probability": 0.973388671875}, {"start": 2755.73, "end": 2756.09, "word": " بناء", "probability": 0.759765625}, {"start": 2756.09, "end": 2756.41, "word": " عليه", "probability": 0.8681640625}, {"start": 2756.41, "end": 2756.75, "word": " انا", "probability": 0.7032470703125}, {"start": 2756.75, "end": 2757.07, "word": " بدي", "probability": 0.799560546875}, {"start": 2757.07, "end": 2757.77, "word": " اخد", "probability": 0.8595377604166666}, {"start": 2757.77, "end": 2758.35, "word": " y", "probability": 0.51806640625}, {"start": 2758.35, "end": 2759.19, "word": " تساوي", "probability": 0.8424072265625}, {"start": 2759.19, "end": 2759.93, "word": " صين", "probability": 0.5941162109375}, {"start": 2759.93, "end": 2760.19, "word": " ال", "probability": 0.91552734375}, {"start": 2760.19, "end": 2760.55, "word": " x", "probability": 0.50244140625}, {"start": 2760.55, "end": 2761.13, "word": " و", "probability": 0.57470703125}, {"start": 2761.13, "end": 2761.29, "word": " ال", "probability": 0.77685546875}, {"start": 2761.29, "end": 2761.59, "word": " x", "probability": 0.86865234375}, {"start": 2761.59, "end": 2761.93, "word": " هذه", "probability": 0.4677734375}, {"start": 2761.93, "end": 2762.25, "word": " مش", "probability": 0.98876953125}, {"start": 2762.25, "end": 2762.59, "word": " على", "probability": 0.92333984375}, {"start": 2762.59, "end": 2763.65, "word": " اطلاقها", "probability": 0.89033203125}, {"start": 2763.65, "end": 2764.13, "word": " و", "probability": 0.978515625}, {"start": 2764.13, "end": 2764.61, "word": " انما", "probability": 0.770263671875}, {"start": 2764.61, "end": 2765.29, "word": " موجودة", "probability": 0.9796142578125}, {"start": 2765.29, "end": 2765.49, "word": " في", "probability": 0.80859375}, {"start": 2765.49, "end": 2765.65, "word": " ال", "probability": 0.88427734375}, {"start": 2765.65, "end": 2766.17, "word": " class", "probability": 0.5537109375}, {"start": 2766.17, "end": 2767.09, "word": " interval", "probability": 0.96240234375}, {"start": 2767.09, "end": 2767.73, "word": " سالب", "probability": 0.7032877604166666}, {"start": 2767.73, "end": 2767.97, "word": " by", "probability": 0.1810302734375}, {"start": 2767.97, "end": 2768.25, "word": " على", "probability": 0.5322265625}, {"start": 2768.25, "end": 2769.37, "word": " اتنين", "probability": 0.9674072265625}, {"start": 2769.37, "end": 2769.57, "word": " و", "probability": 0.84912109375}, {"start": 2769.57, "end": 2769.93, "word": " by", "probability": 0.83349609375}, {"start": 2769.93, "end": 2770.23, "word": " على", "probability": 0.94482421875}, {"start": 2770.23, "end": 2770.77, "word": " اتنين", "probability": 0.9935302734375}, {"start": 2770.77, "end": 2771.31, "word": " بهذا", "probability": 0.85888671875}, {"start": 2771.31, "end": 2772.05, "word": " الشكل", "probability": 0.989990234375}, {"start": 2772.05, "end": 2773.09, "word": " هيك", "probability": 0.743896484375}, {"start": 2773.09, "end": 2773.97, "word": " ضمنت", "probability": 0.9602864583333334}, {"start": 2773.97, "end": 2774.55, "word": " وجود", "probability": 0.979248046875}, {"start": 2774.55, "end": 2774.99, "word": " من", "probability": 0.9833984375}, {"start": 2774.99, "end": 2776.43, "word": " المعكوس", "probability": 0.9632568359375}, {"start": 2776.43, "end": 2777.83, "word": " كيف", "probability": 0.5982666015625}, {"start": 2777.83, "end": 2778.07, "word": " يقول", "probability": 0.28643798828125}], "temperature": 1.0}, {"id": 121, "seek": 280811, "start": 2779.01, "end": 2808.11, "text": "ممكن البايع اتنين لتلت بايع اتنين؟ ممكن، عادي جدا. زميلكوا بيقول انا ممكن اخد الفترة من البايع على اتنين لتلت بايع اتنين، بيقولوا والله صح وعتني قال لي لا، ممكن اخدها من سلب بايع اتنين إلى سلب تلت بايع اتنين صحيح بس إذا أخدت الفترة هذه، بدك تروح على مسائل التمرين كلها و تجلبها طبقا للفترة الجديدة عندك، الأسلة تبعها تمرين مصممة على الفترة اللي عندك كان", "tokens": [2304, 43020, 29739, 995, 40228, 1975, 2655, 1863, 9957, 5296, 2655, 1211, 2655, 4724, 995, 40228, 1975, 2655, 1863, 9957, 22807, 3714, 43020, 12399, 6225, 995, 16254, 10874, 28259, 13, 30767, 2304, 26895, 4117, 14407, 4724, 1829, 39648, 1975, 8315, 3714, 43020, 1975, 9778, 3215, 27188, 2655, 25720, 9154, 29739, 995, 40228, 15844, 1975, 2655, 1863, 9957, 5296, 2655, 1211, 2655, 4724, 995, 40228, 1975, 2655, 1863, 9957, 12399, 4724, 1829, 39648, 14407, 16070, 43761, 20328, 5016, 4032, 3615, 2655, 22653, 50239, 32239, 20193, 12399, 3714, 43020, 1975, 9778, 3215, 11296, 9154, 8608, 46152, 4724, 995, 40228, 1975, 2655, 1863, 9957, 30731, 8608, 46152, 6055, 1211, 2655, 4724, 995, 40228, 1975, 2655, 1863, 9957, 20328, 5016, 1829, 5016, 4724, 3794, 11933, 15730, 5551, 9778, 3215, 2655, 27188, 2655, 25720, 29538, 12399, 47525, 4117, 6055, 32887, 5016, 15844, 47524, 16373, 1211, 16712, 29973, 9957, 28242, 11296, 4032, 6055, 7435, 46152, 11296, 23032, 3555, 4587, 995, 24976, 5172, 2655, 25720, 25724, 16254, 41891, 43242, 4117, 12399, 16247, 3794, 37977, 6055, 3555, 3615, 11296, 46811, 16572, 1863, 3714, 9381, 2304, 46007, 15844, 27188, 2655, 25720, 13672, 1829, 43242, 4117, 25961], "avg_logprob": -0.20578457264507072, "compression_ratio": 2.4022556390977443, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2779.01, "end": 2779.25, "word": "ممكن", "probability": 0.813720703125}, {"start": 2779.25, "end": 2779.65, "word": " البايع", "probability": 0.604736328125}, {"start": 2779.65, "end": 2780.09, "word": " اتنين", "probability": 0.82684326171875}, {"start": 2780.09, "end": 2780.73, "word": " لتلت", "probability": 0.76824951171875}, {"start": 2780.73, "end": 2781.01, "word": " بايع", "probability": 0.9417317708333334}, {"start": 2781.01, "end": 2781.31, "word": " اتنين؟", "probability": 0.95234375}, {"start": 2781.31, "end": 2782.25, "word": " ممكن،", "probability": 0.738037109375}, {"start": 2782.25, "end": 2782.61, "word": " عادي", "probability": 0.9296875}, {"start": 2782.61, "end": 2783.05, "word": " جدا.", "probability": 0.9931640625}, {"start": 2783.49, "end": 2784.13, "word": " زميلكوا", "probability": 0.72734375}, {"start": 2784.13, "end": 2784.57, "word": " بيقول", "probability": 0.9775390625}, {"start": 2784.57, "end": 2784.93, "word": " انا", "probability": 0.6875}, {"start": 2784.93, "end": 2785.35, "word": " ممكن", "probability": 0.992919921875}, {"start": 2785.35, "end": 2785.79, "word": " اخد", "probability": 0.7810872395833334}, {"start": 2785.79, "end": 2786.27, "word": " الفترة", "probability": 0.9886067708333334}, {"start": 2786.27, "end": 2786.47, "word": " من", "probability": 0.97705078125}, {"start": 2786.47, "end": 2786.85, "word": " البايع", "probability": 0.9298502604166666}, {"start": 2786.85, "end": 2787.09, "word": " على", "probability": 0.640625}, {"start": 2787.09, "end": 2787.53, "word": " اتنين", "probability": 0.9840087890625}, {"start": 2787.53, "end": 2788.15, "word": " لتلت", "probability": 0.8465576171875}, {"start": 2788.15, "end": 2788.85, "word": " بايع", "probability": 0.9501953125}, {"start": 2788.85, "end": 2789.13, "word": " اتنين،", "probability": 0.88896484375}, {"start": 2789.13, "end": 2789.39, "word": " بيقولوا", "probability": 0.688507080078125}, {"start": 2789.39, "end": 2789.65, "word": " والله", "probability": 0.642333984375}, {"start": 2789.65, "end": 2790.03, "word": " صح", "probability": 0.957763671875}, {"start": 2790.03, "end": 2790.99, "word": " وعتني", "probability": 0.44097900390625}, {"start": 2790.99, "end": 2791.21, "word": " قال", "probability": 0.70751953125}, {"start": 2791.21, "end": 2791.35, "word": " لي", "probability": 0.50634765625}, {"start": 2791.35, "end": 2791.57, "word": " لا،", "probability": 0.448974609375}, {"start": 2791.57, "end": 2791.77, "word": " ممكن", "probability": 0.979248046875}, {"start": 2791.77, "end": 2792.13, "word": " اخدها", "probability": 0.863037109375}, {"start": 2792.13, "end": 2792.27, "word": " من", "probability": 0.99169921875}, {"start": 2792.27, "end": 2792.59, "word": " سلب", "probability": 0.786376953125}, {"start": 2792.59, "end": 2792.85, "word": " بايع", "probability": 0.9503580729166666}, {"start": 2792.85, "end": 2793.23, "word": " اتنين", "probability": 0.987060546875}, {"start": 2793.23, "end": 2793.53, "word": " إلى", "probability": 0.77294921875}, {"start": 2793.53, "end": 2793.93, "word": " سلب", "probability": 0.973388671875}, {"start": 2793.93, "end": 2794.35, "word": " تلت", "probability": 0.9910481770833334}, {"start": 2794.35, "end": 2794.57, "word": " بايع", "probability": 0.98095703125}, {"start": 2794.57, "end": 2794.85, "word": " اتنين", "probability": 0.98681640625}, {"start": 2794.85, "end": 2795.37, "word": " صحيح", "probability": 0.89013671875}, {"start": 2795.37, "end": 2796.15, "word": " بس", "probability": 0.71142578125}, {"start": 2796.15, "end": 2796.39, "word": " إذا", "probability": 0.823974609375}, {"start": 2796.39, "end": 2796.99, "word": " أخدت", "probability": 0.959228515625}, {"start": 2796.99, "end": 2797.53, "word": " الفترة", "probability": 0.9871419270833334}, {"start": 2797.53, "end": 2797.83, "word": " هذه،", "probability": 0.736572265625}, {"start": 2797.83, "end": 2798.07, "word": " بدك", "probability": 0.864501953125}, {"start": 2798.07, "end": 2798.37, "word": " تروح", "probability": 0.9947916666666666}, {"start": 2798.37, "end": 2798.61, "word": " على", "probability": 0.923828125}, {"start": 2798.61, "end": 2799.17, "word": " مسائل", "probability": 0.8538411458333334}, {"start": 2799.17, "end": 2799.77, "word": " التمرين", "probability": 0.9763997395833334}, {"start": 2799.77, "end": 2800.21, "word": " كلها", "probability": 0.70361328125}, {"start": 2800.21, "end": 2800.37, "word": " و", "probability": 0.43896484375}, {"start": 2800.37, "end": 2801.59, "word": " تجلبها", "probability": 0.968505859375}, {"start": 2801.59, "end": 2802.69, "word": " طبقا", "probability": 0.9400634765625}, {"start": 2802.69, "end": 2803.29, "word": " للفترة", "probability": 0.9521484375}, {"start": 2803.29, "end": 2803.87, "word": " الجديدة", "probability": 0.9820963541666666}, {"start": 2803.87, "end": 2804.31, "word": " عندك،", "probability": 0.91796875}, {"start": 2804.31, "end": 2804.71, "word": " الأسلة", "probability": 0.5123697916666666}, {"start": 2804.71, "end": 2805.05, "word": " تبعها", "probability": 0.65386962890625}, {"start": 2805.05, "end": 2805.29, "word": " تمرين", "probability": 0.693359375}, {"start": 2805.29, "end": 2806.19, "word": " مصممة", "probability": 0.91357421875}, {"start": 2806.19, "end": 2806.75, "word": " على", "probability": 0.90234375}, {"start": 2806.75, "end": 2807.17, "word": " الفترة", "probability": 0.9892578125}, {"start": 2807.17, "end": 2807.35, "word": " اللي", "probability": 0.958251953125}, {"start": 2807.35, "end": 2807.79, "word": " عندك", "probability": 0.972900390625}, {"start": 2807.79, "end": 2808.11, "word": " كان", "probability": 0.278564453125}], "temperature": 1.0}, {"id": 122, "seek": 282271, "start": 2808.55, "end": 2822.71, "text": "وبالتالي لو خلّيت المثال و أخدت الفترة التانية، بيروح الدولة و بيقول كله غلط، اه دي بالك، يعني المثال مصممة على الفترة ان X عندي one to one من سالف باية اتنين لباية اتنين", "tokens": [37746, 6027, 2655, 6027, 1829, 45164, 16490, 1211, 11703, 36081, 9673, 12984, 6027, 4032, 5551, 9778, 3215, 2655, 27188, 2655, 25720, 16712, 7649, 10632, 12399, 4724, 1829, 32887, 5016, 32748, 12610, 3660, 4032, 4724, 1829, 39648, 28242, 3224, 32771, 1211, 9566, 12399, 1975, 3224, 11778, 1829, 20666, 4117, 12399, 37495, 22653, 9673, 12984, 6027, 3714, 9381, 2304, 46007, 15844, 27188, 2655, 25720, 16472, 1783, 18871, 16254, 472, 281, 472, 9154, 8608, 6027, 5172, 4724, 995, 10632, 1975, 2655, 1863, 9957, 5296, 3555, 995, 10632, 1975, 2655, 1863, 9957], "avg_logprob": -0.3328651605027445, "compression_ratio": 1.8170731707317074, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2808.55, "end": 2809.21, "word": "وبالتالي", "probability": 0.880078125}, {"start": 2809.21, "end": 2809.35, "word": " لو", "probability": 0.767578125}, {"start": 2809.35, "end": 2809.77, "word": " خلّيت", "probability": 0.73468017578125}, {"start": 2809.77, "end": 2810.11, "word": " المثال", "probability": 0.884765625}, {"start": 2810.11, "end": 2810.21, "word": " و", "probability": 0.95068359375}, {"start": 2810.21, "end": 2810.47, "word": " أخدت", "probability": 0.79339599609375}, {"start": 2810.47, "end": 2810.79, "word": " الفترة", "probability": 0.9853515625}, {"start": 2810.79, "end": 2811.17, "word": " التانية،", "probability": 0.69586181640625}, {"start": 2811.17, "end": 2811.41, "word": " بيروح", "probability": 0.7147216796875}, {"start": 2811.41, "end": 2811.79, "word": " الدولة", "probability": 0.5810139973958334}, {"start": 2811.79, "end": 2811.87, "word": " و", "probability": 0.64111328125}, {"start": 2811.87, "end": 2811.99, "word": " بيقول", "probability": 0.7788899739583334}, {"start": 2811.99, "end": 2812.35, "word": " كله", "probability": 0.92333984375}, {"start": 2812.35, "end": 2813.67, "word": " غلط،", "probability": 0.805419921875}, {"start": 2813.67, "end": 2814.05, "word": " اه", "probability": 0.57391357421875}, {"start": 2814.05, "end": 2814.21, "word": " دي", "probability": 0.42620849609375}, {"start": 2814.21, "end": 2814.83, "word": " بالك،", "probability": 0.5463053385416666}, {"start": 2814.83, "end": 2815.83, "word": " يعني", "probability": 0.7900390625}, {"start": 2815.83, "end": 2816.37, "word": " المثال", "probability": 0.7862955729166666}, {"start": 2816.37, "end": 2817.09, "word": " مصممة", "probability": 0.823486328125}, {"start": 2817.09, "end": 2817.37, "word": " على", "probability": 0.927734375}, {"start": 2817.37, "end": 2818.09, "word": " الفترة", "probability": 0.9920247395833334}, {"start": 2818.09, "end": 2818.41, "word": " ان", "probability": 0.417236328125}, {"start": 2818.41, "end": 2818.97, "word": " X", "probability": 0.5146484375}, {"start": 2818.97, "end": 2819.51, "word": " عندي", "probability": 0.892333984375}, {"start": 2819.51, "end": 2819.85, "word": " one", "probability": 0.7431640625}, {"start": 2819.85, "end": 2820.13, "word": " to", "probability": 0.88427734375}, {"start": 2820.13, "end": 2820.41, "word": " one", "probability": 0.95703125}, {"start": 2820.41, "end": 2820.77, "word": " من", "probability": 0.97412109375}, {"start": 2820.77, "end": 2821.35, "word": " سالف", "probability": 0.6131184895833334}, {"start": 2821.35, "end": 2821.59, "word": " باية", "probability": 0.572509765625}, {"start": 2821.59, "end": 2821.89, "word": " اتنين", "probability": 0.9169921875}, {"start": 2821.89, "end": 2822.25, "word": " لباية", "probability": 0.939208984375}, {"start": 2822.25, "end": 2822.71, "word": " اتنين", "probability": 0.9766845703125}], "temperature": 1.0}, {"id": 123, "seek": 284622, "start": 2826.22, "end": 2846.22, "text": "والآن بدنا نروح نرسم رسمة المعكوس تبع هذه أبلة فبعدين بقول بدنا نعرف ما هو شكل المعكوس فبعدين باخد المحاور بالشكل اللي عندنا هذا هذا محور X هذا محور Y هذا نقطة الاصل", "tokens": [2407, 6027, 148, 48506, 47525, 8315, 8717, 32887, 5016, 8717, 2288, 38251, 12602, 38251, 3660, 9673, 3615, 4117, 41779, 6055, 3555, 3615, 29538, 5551, 36150, 3660, 6156, 3555, 22488, 9957, 4724, 39648, 47525, 8315, 8717, 3615, 28480, 19446, 31439, 13412, 28820, 9673, 3615, 4117, 41779, 6156, 3555, 22488, 9957, 4724, 47283, 3215, 9673, 5016, 995, 13063, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 23758, 8717, 47432, 3660, 2423, 33546, 1211], "avg_logprob": -0.21913109574376083, "compression_ratio": 1.9602649006622517, "no_speech_prob": 0.0, "words": [{"start": 2826.22, "end": 2826.72, "word": "والآن", "probability": 0.463836669921875}, {"start": 2826.72, "end": 2827.04, "word": " بدنا", "probability": 0.670166015625}, {"start": 2827.04, "end": 2827.52, "word": " نروح", "probability": 0.8509114583333334}, {"start": 2827.52, "end": 2828.38, "word": " نرسم", "probability": 0.8800455729166666}, {"start": 2828.38, "end": 2829.24, "word": " رسمة", "probability": 0.9212239583333334}, {"start": 2829.24, "end": 2830.06, "word": " المعكوس", "probability": 0.911376953125}, {"start": 2830.06, "end": 2830.46, "word": " تبع", "probability": 0.7855631510416666}, {"start": 2830.46, "end": 2831.1, "word": " هذه", "probability": 0.93017578125}, {"start": 2831.1, "end": 2832.5, "word": " أبلة", "probability": 0.5404459635416666}, {"start": 2832.5, "end": 2833.38, "word": " فبعدين", "probability": 0.8636474609375}, {"start": 2833.38, "end": 2833.84, "word": " بقول", "probability": 0.87109375}, {"start": 2833.84, "end": 2834.18, "word": " بدنا", "probability": 0.839111328125}, {"start": 2834.18, "end": 2834.6, "word": " نعرف", "probability": 0.990234375}, {"start": 2834.6, "end": 2834.82, "word": " ما", "probability": 0.83349609375}, {"start": 2834.82, "end": 2835.1, "word": " هو", "probability": 0.75732421875}, {"start": 2835.1, "end": 2835.7, "word": " شكل", "probability": 0.980224609375}, {"start": 2835.7, "end": 2837.0, "word": " المعكوس", "probability": 0.9771728515625}, {"start": 2837.0, "end": 2837.92, "word": " فبعدين", "probability": 0.951904296875}, {"start": 2837.92, "end": 2838.32, "word": " باخد", "probability": 0.9596354166666666}, {"start": 2838.32, "end": 2839.08, "word": " المحاور", "probability": 0.93017578125}, {"start": 2839.08, "end": 2839.64, "word": " بالشكل", "probability": 0.9661458333333334}, {"start": 2839.64, "end": 2839.78, "word": " اللي", "probability": 0.898681640625}, {"start": 2839.78, "end": 2840.08, "word": " عندنا", "probability": 0.875732421875}, {"start": 2840.08, "end": 2840.5, "word": " هذا", "probability": 0.92822265625}, {"start": 2840.5, "end": 2841.34, "word": " هذا", "probability": 0.28125}, {"start": 2841.34, "end": 2841.92, "word": " محور", "probability": 0.98974609375}, {"start": 2841.92, "end": 2842.42, "word": " X", "probability": 0.74560546875}, {"start": 2842.42, "end": 2843.16, "word": " هذا", "probability": 0.8037109375}, {"start": 2843.16, "end": 2843.82, "word": " محور", "probability": 0.9871419270833334}, {"start": 2843.82, "end": 2844.3, "word": " Y", "probability": 0.994140625}, {"start": 2844.3, "end": 2844.9, "word": " هذا", "probability": 0.28662109375}, {"start": 2844.9, "end": 2845.58, "word": " نقطة", "probability": 0.9186197916666666}, {"start": 2845.58, "end": 2846.22, "word": " الاصل", "probability": 0.7154947916666666}], "temperature": 1.0}, {"id": 124, "seek": 286248, "start": 2847.62, "end": 2862.48, "text": "نرجع بالذاكرة إلى الوراق قليلا، لأول section أخدناه، قلنا إذا الدلة من سالب باية على اتنين لباية على اتنين، هذا يعتبر domain الدلة، لكن ال range من سالب واحد إلى", "tokens": [1863, 47341, 3615, 20666, 15730, 4117, 25720, 30731, 2423, 13063, 995, 4587, 12174, 20292, 15040, 12399, 5296, 10721, 12610, 3541, 5551, 9778, 3215, 8315, 3224, 12399, 12174, 1211, 8315, 11933, 15730, 32748, 37977, 9154, 8608, 6027, 3555, 4724, 995, 10632, 15844, 1975, 2655, 1863, 9957, 5296, 3555, 995, 10632, 15844, 1975, 2655, 1863, 9957, 12399, 23758, 7251, 34268, 26890, 9274, 32748, 37977, 12399, 44381, 2423, 3613, 9154, 8608, 6027, 3555, 36764, 24401, 30731], "avg_logprob": -0.24324324143093987, "compression_ratio": 1.6566265060240963, "no_speech_prob": 0.0, "words": [{"start": 2847.62, "end": 2848.18, "word": "نرجع", "probability": 0.5984700520833334}, {"start": 2848.18, "end": 2848.98, "word": " بالذاكرة", "probability": 0.9007568359375}, {"start": 2848.98, "end": 2849.24, "word": " إلى", "probability": 0.58935546875}, {"start": 2849.24, "end": 2849.86, "word": " الوراق", "probability": 0.7388916015625}, {"start": 2849.86, "end": 2850.8, "word": " قليلا،", "probability": 0.81005859375}, {"start": 2850.8, "end": 2851.5, "word": " لأول", "probability": 0.9401041666666666}, {"start": 2851.5, "end": 2851.96, "word": " section", "probability": 0.8046875}, {"start": 2851.96, "end": 2853.5, "word": " أخدناه،", "probability": 0.7626546223958334}, {"start": 2853.5, "end": 2853.92, "word": " قلنا", "probability": 0.8030598958333334}, {"start": 2853.92, "end": 2854.2, "word": " إذا", "probability": 0.882568359375}, {"start": 2854.2, "end": 2854.74, "word": " الدلة", "probability": 0.39984130859375}, {"start": 2854.74, "end": 2855.06, "word": " من", "probability": 0.97607421875}, {"start": 2855.06, "end": 2855.48, "word": " سالب", "probability": 0.6556803385416666}, {"start": 2855.48, "end": 2855.74, "word": " باية", "probability": 0.616455078125}, {"start": 2855.74, "end": 2855.92, "word": " على", "probability": 0.85009765625}, {"start": 2855.92, "end": 2856.34, "word": " اتنين", "probability": 0.9444580078125}, {"start": 2856.34, "end": 2856.78, "word": " لباية", "probability": 0.9259033203125}, {"start": 2856.78, "end": 2856.9, "word": " على", "probability": 0.88818359375}, {"start": 2856.9, "end": 2857.32, "word": " اتنين،", "probability": 0.93056640625}, {"start": 2857.32, "end": 2857.56, "word": " هذا", "probability": 0.94091796875}, {"start": 2857.56, "end": 2858.22, "word": " يعتبر", "probability": 0.9265950520833334}, {"start": 2858.22, "end": 2858.68, "word": " domain", "probability": 0.52783203125}, {"start": 2858.68, "end": 2859.38, "word": " الدلة،", "probability": 0.9129231770833334}, {"start": 2859.38, "end": 2859.7, "word": " لكن", "probability": 0.97021484375}, {"start": 2859.7, "end": 2859.98, "word": " ال", "probability": 0.89990234375}, {"start": 2859.98, "end": 2860.66, "word": " range", "probability": 0.90478515625}, {"start": 2860.66, "end": 2861.48, "word": " من", "probability": 0.90185546875}, {"start": 2861.48, "end": 2861.84, "word": " سالب", "probability": 0.96240234375}, {"start": 2861.84, "end": 2862.3, "word": " واحد", "probability": 0.97607421875}, {"start": 2862.3, "end": 2862.48, "word": " إلى", "probability": 0.67529296875}], "temperature": 1.0}, {"id": 125, "seek": 288936, "start": 2862.94, "end": 2889.36, "text": "الـ Range تبع الـ function هو ال domain تبع المعكوس و ال range تبع المعكوس هو ال domain تبع الدالة تمام؟ إذا هذا اللي هو ال domain بدو يصير ال range و اللي كان ال range بدو يصير ال domain صحيح ولا لأ؟ إذا الرسم هتنحصل عندي من عندي السالب واحد لغاية كداشر", "tokens": [6027, 39184, 33778, 6055, 3555, 3615, 2423, 39184, 2445, 31439, 2423, 9274, 6055, 3555, 3615, 9673, 3615, 4117, 41779, 4032, 2423, 3613, 6055, 3555, 3615, 9673, 3615, 4117, 41779, 31439, 2423, 9274, 6055, 3555, 3615, 32748, 6027, 3660, 46811, 10943, 22807, 11933, 15730, 23758, 13672, 1829, 31439, 2423, 9274, 47525, 2407, 7251, 9381, 13546, 2423, 3613, 4032, 13672, 1829, 25961, 2423, 3613, 47525, 2407, 7251, 9381, 13546, 2423, 9274, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 11933, 15730, 34892, 38251, 8032, 2655, 1863, 5016, 36520, 18871, 16254, 9154, 18871, 16254, 21136, 6027, 3555, 36764, 24401, 5296, 17082, 995, 10632, 9122, 3215, 33599, 2288], "avg_logprob": -0.23690476531074162, "compression_ratio": 2.04040404040404, "no_speech_prob": 0.0, "words": [{"start": 2862.94, "end": 2863.82, "word": "الـ", "probability": 0.5150146484375}, {"start": 2863.82, "end": 2864.26, "word": " Range", "probability": 0.59521484375}, {"start": 2864.26, "end": 2864.8, "word": " تبع", "probability": 0.8196614583333334}, {"start": 2864.8, "end": 2865.06, "word": " الـ", "probability": 0.731689453125}, {"start": 2865.06, "end": 2865.56, "word": " function", "probability": 0.6611328125}, {"start": 2865.56, "end": 2866.02, "word": " هو", "probability": 0.97412109375}, {"start": 2866.02, "end": 2866.3, "word": " ال", "probability": 0.92236328125}, {"start": 2866.3, "end": 2866.9, "word": " domain", "probability": 0.57861328125}, {"start": 2866.9, "end": 2867.64, "word": " تبع", "probability": 0.9586588541666666}, {"start": 2867.64, "end": 2868.54, "word": " المعكوس", "probability": 0.885986328125}, {"start": 2868.54, "end": 2869.32, "word": " و", "probability": 0.286376953125}, {"start": 2869.32, "end": 2869.5, "word": " ال", "probability": 0.60498046875}, {"start": 2869.5, "end": 2869.82, "word": " range", "probability": 0.82421875}, {"start": 2869.82, "end": 2870.26, "word": " تبع", "probability": 0.9781901041666666}, {"start": 2870.26, "end": 2871.14, "word": " المعكوس", "probability": 0.9666748046875}, {"start": 2871.14, "end": 2871.4, "word": " هو", "probability": 0.98681640625}, {"start": 2871.4, "end": 2871.56, "word": " ال", "probability": 0.87109375}, {"start": 2871.56, "end": 2871.94, "word": " domain", "probability": 0.99462890625}, {"start": 2871.94, "end": 2872.38, "word": " تبع", "probability": 0.9869791666666666}, {"start": 2872.38, "end": 2873.14, "word": " الدالة", "probability": 0.8893229166666666}, {"start": 2873.14, "end": 2874.32, "word": " تمام؟", "probability": 0.6861979166666666}, {"start": 2874.32, "end": 2874.76, "word": " إذا", "probability": 0.65771484375}, {"start": 2874.76, "end": 2875.96, "word": " هذا", "probability": 0.470947265625}, {"start": 2875.96, "end": 2877.06, "word": " اللي", "probability": 0.74755859375}, {"start": 2877.06, "end": 2877.26, "word": " هو", "probability": 0.91064453125}, {"start": 2877.26, "end": 2877.3, "word": " ال", "probability": 0.64111328125}, {"start": 2877.3, "end": 2877.58, "word": " domain", "probability": 0.98974609375}, {"start": 2877.58, "end": 2877.96, "word": " بدو", "probability": 0.3133544921875}, {"start": 2877.96, "end": 2878.22, "word": " يصير", "probability": 0.7902018229166666}, {"start": 2878.22, "end": 2878.46, "word": " ال", "probability": 0.583984375}, {"start": 2878.46, "end": 2878.98, "word": " range", "probability": 0.94384765625}, {"start": 2878.98, "end": 2879.5, "word": " و", "probability": 0.65087890625}, {"start": 2879.5, "end": 2879.8, "word": " اللي", "probability": 0.96533203125}, {"start": 2879.8, "end": 2880.2, "word": " كان", "probability": 0.8193359375}, {"start": 2880.2, "end": 2880.3, "word": " ال", "probability": 0.91455078125}, {"start": 2880.3, "end": 2880.58, "word": " range", "probability": 0.9599609375}, {"start": 2880.58, "end": 2880.94, "word": " بدو", "probability": 0.900390625}, {"start": 2880.94, "end": 2881.1, "word": " يصير", "probability": 0.9913736979166666}, {"start": 2881.1, "end": 2881.26, "word": " ال", "probability": 0.6962890625}, {"start": 2881.26, "end": 2881.7, "word": " domain", "probability": 0.99462890625}, {"start": 2881.7, "end": 2882.44, "word": " صحيح", "probability": 0.9805908203125}, {"start": 2882.44, "end": 2882.62, "word": " ولا", "probability": 0.93408203125}, {"start": 2882.62, "end": 2883.34, "word": " لأ؟", "probability": 0.79931640625}, {"start": 2883.34, "end": 2883.62, "word": " إذا", "probability": 0.9599609375}, {"start": 2883.62, "end": 2884.14, "word": " الرسم", "probability": 0.875}, {"start": 2884.14, "end": 2885.18, "word": " هتنحصل", "probability": 0.77373046875}, {"start": 2885.18, "end": 2885.7, "word": " عندي", "probability": 0.7171630859375}, {"start": 2885.7, "end": 2886.0, "word": " من", "probability": 0.97412109375}, {"start": 2886.0, "end": 2886.56, "word": " عندي", "probability": 0.711669921875}, {"start": 2886.56, "end": 2887.2, "word": " السالب", "probability": 0.5935872395833334}, {"start": 2887.2, "end": 2887.8, "word": " واحد", "probability": 0.9501953125}, {"start": 2887.8, "end": 2888.54, "word": " لغاية", "probability": 0.978759765625}, {"start": 2888.54, "end": 2889.36, "word": " كداشر", "probability": 0.7037353515625}], "temperature": 1.0}, {"id": 126, "seek": 290093, "start": 2889.81, "end": 2900.93, "text": "إذا الرسم هذي مش هتتعدى الخط الرأسي اللي هو x يساوي سالب واحد ولا هتتعدى الخط الرأسي اللي هو x يساوي قداش واحد", "tokens": [28814, 15730, 34892, 38251, 8032, 8848, 1829, 37893, 8032, 2655, 2655, 22488, 7578, 33962, 9566, 34892, 10721, 3794, 1829, 13672, 1829, 31439, 2031, 7251, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401, 49429, 8032, 2655, 2655, 22488, 7578, 33962, 9566, 34892, 10721, 3794, 1829, 13672, 1829, 31439, 2031, 7251, 3794, 995, 45865, 12174, 3215, 33599, 36764, 24401], "avg_logprob": -0.23046874948616686, "compression_ratio": 1.9405940594059405, "no_speech_prob": 0.0, "words": [{"start": 2889.81, "end": 2890.29, "word": "إذا", "probability": 0.5452880859375}, {"start": 2890.29, "end": 2890.89, "word": " الرسم", "probability": 0.716796875}, {"start": 2890.89, "end": 2891.37, "word": " هذي", "probability": 0.4576822916666667}, {"start": 2891.37, "end": 2891.61, "word": " مش", "probability": 0.52880859375}, {"start": 2891.61, "end": 2892.45, "word": " هتتعدى", "probability": 0.97294921875}, {"start": 2892.45, "end": 2893.01, "word": " الخط", "probability": 0.89306640625}, {"start": 2893.01, "end": 2893.83, "word": " الرأسي", "probability": 0.9105224609375}, {"start": 2893.83, "end": 2893.99, "word": " اللي", "probability": 0.45458984375}, {"start": 2893.99, "end": 2894.07, "word": " هو", "probability": 0.95263671875}, {"start": 2894.07, "end": 2894.35, "word": " x", "probability": 0.525390625}, {"start": 2894.35, "end": 2894.91, "word": " يساوي", "probability": 0.723663330078125}, {"start": 2894.91, "end": 2895.39, "word": " سالب", "probability": 0.8605143229166666}, {"start": 2895.39, "end": 2895.83, "word": " واحد", "probability": 0.97265625}, {"start": 2895.83, "end": 2896.57, "word": " ولا", "probability": 0.78466796875}, {"start": 2896.57, "end": 2897.49, "word": " هتتعدى", "probability": 0.96552734375}, {"start": 2897.49, "end": 2897.89, "word": " الخط", "probability": 0.98876953125}, {"start": 2897.89, "end": 2898.49, "word": " الرأسي", "probability": 0.9886474609375}, {"start": 2898.49, "end": 2898.59, "word": " اللي", "probability": 0.962890625}, {"start": 2898.59, "end": 2898.73, "word": " هو", "probability": 0.98388671875}, {"start": 2898.73, "end": 2899.01, "word": " x", "probability": 0.95458984375}, {"start": 2899.01, "end": 2899.43, "word": " يساوي", "probability": 0.9620361328125}, {"start": 2899.43, "end": 2900.19, "word": " قداش", "probability": 0.7513834635416666}, {"start": 2900.19, "end": 2900.93, "word": " واحد", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 127, "seek": 292267, "start": 2902.53, "end": 2922.67, "text": "النقطة هذه الإحداثية تبعها سالب باي على اتنين وسالب واحد تصير سالب واحد وسالب باي على اتنين سالب واحد وبدك تنزل سالب باي على اتنين هذه هناها سالب باي على اتنين يعني بدك توجه فينا", "tokens": [6027, 1863, 47432, 3660, 29538, 33688, 24401, 5718, 104, 10632, 6055, 3555, 3615, 11296, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 46952, 6027, 3555, 36764, 24401, 6055, 9381, 13546, 8608, 6027, 3555, 36764, 24401, 46952, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 36764, 24401, 4032, 44510, 4117, 6055, 1863, 11622, 1211, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 29538, 34105, 11296, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 37495, 22653, 47525, 4117, 6055, 29245, 3224, 8978, 8315], "avg_logprob": -0.18631114033253296, "compression_ratio": 2.4210526315789473, "no_speech_prob": 0.0, "words": [{"start": 2902.53, "end": 2903.25, "word": "النقطة", "probability": 0.862060546875}, {"start": 2903.25, "end": 2903.47, "word": " هذه", "probability": 0.79150390625}, {"start": 2903.47, "end": 2904.27, "word": " الإحداثية", "probability": 0.731396484375}, {"start": 2904.27, "end": 2904.97, "word": " تبعها", "probability": 0.8330078125}, {"start": 2904.97, "end": 2905.79, "word": " سالب", "probability": 0.5714111328125}, {"start": 2905.79, "end": 2906.11, "word": " باي", "probability": 0.4200439453125}, {"start": 2906.11, "end": 2906.29, "word": " على", "probability": 0.72900390625}, {"start": 2906.29, "end": 2906.65, "word": " اتنين", "probability": 0.9520263671875}, {"start": 2906.65, "end": 2907.39, "word": " وسالب", "probability": 0.8318684895833334}, {"start": 2907.39, "end": 2907.85, "word": " واحد", "probability": 0.987548828125}, {"start": 2907.85, "end": 2908.59, "word": " تصير", "probability": 0.7186686197916666}, {"start": 2908.59, "end": 2909.27, "word": " سالب", "probability": 0.9609375}, {"start": 2909.27, "end": 2910.01, "word": " واحد", "probability": 0.9921875}, {"start": 2910.01, "end": 2910.99, "word": " وسالب", "probability": 0.825927734375}, {"start": 2910.99, "end": 2911.21, "word": " باي", "probability": 0.865478515625}, {"start": 2911.21, "end": 2911.43, "word": " على", "probability": 0.93115234375}, {"start": 2911.43, "end": 2912.01, "word": " اتنين", "probability": 0.9876708984375}, {"start": 2912.01, "end": 2913.11, "word": " سالب", "probability": 0.9093424479166666}, {"start": 2913.11, "end": 2913.61, "word": " واحد", "probability": 0.992431640625}, {"start": 2913.61, "end": 2914.17, "word": " وبدك", "probability": 0.705322265625}, {"start": 2914.17, "end": 2914.77, "word": " تنزل", "probability": 0.994873046875}, {"start": 2914.77, "end": 2915.59, "word": " سالب", "probability": 0.9861653645833334}, {"start": 2915.59, "end": 2916.03, "word": " باي", "probability": 0.90283203125}, {"start": 2916.03, "end": 2916.37, "word": " على", "probability": 0.9482421875}, {"start": 2916.37, "end": 2916.93, "word": " اتنين", "probability": 0.991943359375}, {"start": 2916.93, "end": 2917.73, "word": " هذه", "probability": 0.59521484375}, {"start": 2917.73, "end": 2918.59, "word": " هناها", "probability": 0.7069091796875}, {"start": 2918.59, "end": 2919.73, "word": " سالب", "probability": 0.9890950520833334}, {"start": 2919.73, "end": 2920.11, "word": " باي", "probability": 0.924560546875}, {"start": 2920.11, "end": 2920.35, "word": " على", "probability": 0.9482421875}, {"start": 2920.35, "end": 2920.81, "word": " اتنين", "probability": 0.9927978515625}, {"start": 2920.81, "end": 2921.45, "word": " يعني", "probability": 0.923583984375}, {"start": 2921.45, "end": 2921.83, "word": " بدك", "probability": 0.970947265625}, {"start": 2921.83, "end": 2922.15, "word": " توجه", "probability": 0.7625325520833334}, {"start": 2922.15, "end": 2922.67, "word": " فينا", "probability": 0.654052734375}], "temperature": 1.0}, {"id": 128, "seek": 294096, "start": 2923.36, "end": 2940.96, "text": "النقطة التانية دي إحداثية هي باي على اتنين و واحد بدا تصير واحد و باي على اتنين واحد و بدا تطلع باي على اتنين اللي هو هنا واحد و باي على اتنين يبجه هي النقطة اللي هي main باي على اتنين", "tokens": [6027, 1863, 47432, 3660, 16712, 7649, 10632, 11778, 1829, 11933, 24401, 5718, 104, 10632, 39896, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 4032, 36764, 24401, 4724, 28259, 6055, 9381, 13546, 36764, 24401, 4032, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 36764, 24401, 4032, 4724, 28259, 6055, 9566, 1211, 3615, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 34105, 36764, 24401, 4032, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 7435, 3224, 39896, 28239, 47432, 3660, 13672, 1829, 39896, 2135, 4724, 47302, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.25017361409134337, "compression_ratio": 2.3309352517985613, "no_speech_prob": 0.0, "words": [{"start": 2923.36, "end": 2924.16, "word": "النقطة", "probability": 0.891845703125}, {"start": 2924.16, "end": 2924.72, "word": " التانية", "probability": 0.7882486979166666}, {"start": 2924.72, "end": 2925.16, "word": " دي", "probability": 0.56915283203125}, {"start": 2925.16, "end": 2926.08, "word": " إحداثية", "probability": 0.780419921875}, {"start": 2926.08, "end": 2926.32, "word": " هي", "probability": 0.3564453125}, {"start": 2926.32, "end": 2926.7, "word": " باي", "probability": 0.3839111328125}, {"start": 2926.7, "end": 2926.88, "word": " على", "probability": 0.83447265625}, {"start": 2926.88, "end": 2927.28, "word": " اتنين", "probability": 0.93603515625}, {"start": 2927.28, "end": 2927.46, "word": " و", "probability": 0.88330078125}, {"start": 2927.46, "end": 2927.94, "word": " واحد", "probability": 0.89453125}, {"start": 2927.94, "end": 2928.5, "word": " بدا", "probability": 0.3214111328125}, {"start": 2928.5, "end": 2928.86, "word": " تصير", "probability": 0.8644205729166666}, {"start": 2928.86, "end": 2929.52, "word": " واحد", "probability": 0.982177734375}, {"start": 2929.52, "end": 2929.76, "word": " و", "probability": 0.67333984375}, {"start": 2929.76, "end": 2929.98, "word": " باي", "probability": 0.848388671875}, {"start": 2929.98, "end": 2930.2, "word": " على", "probability": 0.935546875}, {"start": 2930.2, "end": 2930.74, "word": " اتنين", "probability": 0.9862060546875}, {"start": 2930.74, "end": 2931.84, "word": " واحد", "probability": 0.7457275390625}, {"start": 2931.84, "end": 2931.94, "word": " و", "probability": 0.88720703125}, {"start": 2931.94, "end": 2932.16, "word": " بدا", "probability": 0.8193359375}, {"start": 2932.16, "end": 2932.76, "word": " تطلع", "probability": 0.771240234375}, {"start": 2932.76, "end": 2933.1, "word": " باي", "probability": 0.74462890625}, {"start": 2933.1, "end": 2933.3, "word": " على", "probability": 0.95458984375}, {"start": 2933.3, "end": 2933.76, "word": " اتنين", "probability": 0.9891357421875}, {"start": 2933.76, "end": 2933.92, "word": " اللي", "probability": 0.892822265625}, {"start": 2933.92, "end": 2934.12, "word": " هو", "probability": 0.91796875}, {"start": 2934.12, "end": 2934.46, "word": " هنا", "probability": 0.9814453125}, {"start": 2934.46, "end": 2935.52, "word": " واحد", "probability": 0.934814453125}, {"start": 2935.52, "end": 2935.7, "word": " و", "probability": 0.9189453125}, {"start": 2935.7, "end": 2936.28, "word": " باي", "probability": 0.907958984375}, {"start": 2936.28, "end": 2937.02, "word": " على", "probability": 0.94580078125}, {"start": 2937.02, "end": 2937.6, "word": " اتنين", "probability": 0.990234375}, {"start": 2937.6, "end": 2938.06, "word": " يبجه", "probability": 0.54180908203125}, {"start": 2938.06, "end": 2938.28, "word": " هي", "probability": 0.312744140625}, {"start": 2938.28, "end": 2938.9, "word": " النقطة", "probability": 0.9456380208333334}, {"start": 2938.9, "end": 2939.0, "word": " اللي", "probability": 0.83740234375}, {"start": 2939.0, "end": 2939.16, "word": " هي", "probability": 0.6025390625}, {"start": 2939.16, "end": 2939.56, "word": " main", "probability": 0.46826171875}, {"start": 2939.56, "end": 2940.32, "word": " باي", "probability": 0.804443359375}, {"start": 2940.32, "end": 2940.56, "word": " على", "probability": 0.9404296875}, {"start": 2940.56, "end": 2940.96, "word": " اتنين", "probability": 0.986328125}], "temperature": 1.0}, {"id": 129, "seek": 296835, "start": 2941.75, "end": 2968.35, "text": "هذا المنحنى على الجزء هذا concave down لما ترسم الخطوة يتساركس بده ينجلب ويصير concave up يبقى المنحنى هذا بده يصير عندك بده يجيك بالشكل هذا هيك ويجيك ايوة concave up هذا concave up بده يصير concave down يبقى هذا المنحنى لو رحت كملته هيصير بالشكل اللي عندنا", "tokens": [3224, 15730, 9673, 1863, 5016, 1863, 7578, 15844, 25724, 11622, 38207, 23758, 416, 50126, 760, 5296, 15042, 6055, 2288, 38251, 33962, 9566, 2407, 3660, 7251, 2655, 3794, 9640, 4117, 3794, 47525, 3224, 7251, 1863, 7435, 46152, 4032, 1829, 9381, 13546, 416, 50126, 493, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 7578, 23758, 47525, 3224, 7251, 9381, 13546, 43242, 4117, 47525, 3224, 7251, 7435, 1829, 4117, 20666, 8592, 28820, 23758, 39896, 4117, 4032, 1829, 7435, 1829, 4117, 1975, 1829, 2407, 3660, 416, 50126, 493, 23758, 416, 50126, 493, 47525, 3224, 7251, 9381, 13546, 416, 50126, 760, 7251, 3555, 4587, 7578, 23758, 9673, 1863, 5016, 1863, 7578, 45164, 12602, 33753, 9122, 42213, 47395, 39896, 9381, 13546, 20666, 8592, 28820, 13672, 1829, 43242, 8315], "avg_logprob": -0.22535568475723267, "compression_ratio": 2.100502512562814, "no_speech_prob": 0.0, "words": [{"start": 2941.75, "end": 2942.33, "word": "هذا", "probability": 0.684814453125}, {"start": 2942.33, "end": 2943.31, "word": " المنحنى", "probability": 0.738671875}, {"start": 2943.31, "end": 2943.63, "word": " على", "probability": 0.2469482421875}, {"start": 2943.63, "end": 2943.97, "word": " الجزء", "probability": 0.8123372395833334}, {"start": 2943.97, "end": 2944.23, "word": " هذا", "probability": 0.319091796875}, {"start": 2944.23, "end": 2944.89, "word": " concave", "probability": 0.59136962890625}, {"start": 2944.89, "end": 2945.63, "word": " down", "probability": 0.63134765625}, {"start": 2945.63, "end": 2946.51, "word": " لما", "probability": 0.8193359375}, {"start": 2946.51, "end": 2946.99, "word": " ترسم", "probability": 0.9876302083333334}, {"start": 2946.99, "end": 2947.65, "word": " الخطوة", "probability": 0.8189697265625}, {"start": 2947.65, "end": 2948.43, "word": " يتساركس", "probability": 0.5953572591145834}, {"start": 2948.43, "end": 2948.95, "word": " بده", "probability": 0.4974365234375}, {"start": 2948.95, "end": 2949.33, "word": " ينجلب", "probability": 0.8232421875}, {"start": 2949.33, "end": 2949.67, "word": " ويصير", "probability": 0.8382568359375}, {"start": 2949.67, "end": 2950.39, "word": " concave", "probability": 0.921142578125}, {"start": 2950.39, "end": 2950.99, "word": " up", "probability": 0.96337890625}, {"start": 2950.99, "end": 2951.83, "word": " يبقى", "probability": 0.86279296875}, {"start": 2951.83, "end": 2952.63, "word": " المنحنى", "probability": 0.9771484375}, {"start": 2952.63, "end": 2952.95, "word": " هذا", "probability": 0.83740234375}, {"start": 2952.95, "end": 2953.41, "word": " بده", "probability": 0.6898193359375}, {"start": 2953.41, "end": 2953.73, "word": " يصير", "probability": 0.9410807291666666}, {"start": 2953.73, "end": 2954.19, "word": " عندك", "probability": 0.99462890625}, {"start": 2954.19, "end": 2954.49, "word": " بده", "probability": 0.823486328125}, {"start": 2954.49, "end": 2954.77, "word": " يجيك", "probability": 0.982666015625}, {"start": 2954.77, "end": 2955.29, "word": " بالشكل", "probability": 0.958984375}, {"start": 2955.29, "end": 2955.63, "word": " هذا", "probability": 0.80859375}, {"start": 2955.63, "end": 2956.59, "word": " هيك", "probability": 0.67578125}, {"start": 2956.59, "end": 2957.61, "word": " ويجيك", "probability": 0.91865234375}, {"start": 2957.61, "end": 2957.97, "word": " ايوة", "probability": 0.6356201171875}, {"start": 2957.97, "end": 2958.45, "word": " concave", "probability": 0.88916015625}, {"start": 2958.45, "end": 2958.79, "word": " up", "probability": 0.96337890625}, {"start": 2958.79, "end": 2959.83, "word": " هذا", "probability": 0.7080078125}, {"start": 2959.83, "end": 2960.65, "word": " concave", "probability": 0.94287109375}, {"start": 2960.65, "end": 2961.03, "word": " up", "probability": 0.97607421875}, {"start": 2961.03, "end": 2961.43, "word": " بده", "probability": 0.90087890625}, {"start": 2961.43, "end": 2961.85, "word": " يصير", "probability": 0.9918619791666666}, {"start": 2961.85, "end": 2962.57, "word": " concave", "probability": 0.947509765625}, {"start": 2962.57, "end": 2963.27, "word": " down", "probability": 0.87451171875}, {"start": 2963.27, "end": 2964.11, "word": " يبقى", "probability": 0.9698486328125}, {"start": 2964.11, "end": 2964.37, "word": " هذا", "probability": 0.94970703125}, {"start": 2964.37, "end": 2965.01, "word": " المنحنى", "probability": 0.98291015625}, {"start": 2965.01, "end": 2965.17, "word": " لو", "probability": 0.9755859375}, {"start": 2965.17, "end": 2965.43, "word": " رحت", "probability": 0.68408203125}, {"start": 2965.43, "end": 2966.13, "word": " كملته", "probability": 0.85107421875}, {"start": 2966.13, "end": 2967.27, "word": " هيصير", "probability": 0.8235677083333334}, {"start": 2967.27, "end": 2967.81, "word": " بالشكل", "probability": 0.9921875}, {"start": 2967.81, "end": 2967.99, "word": " اللي", "probability": 0.931640625}, {"start": 2967.99, "end": 2968.35, "word": " عندنا", "probability": 0.83935546875}], "temperature": 1.0}, {"id": 130, "seek": 298258, "start": 2969.14, "end": 2982.58, "text": "يبقى هذا الرسم اللي رسمناها هي عبارة عن y تساوي ال sign inverse x والx محصورة ما بين السالب واحد والواحد", "tokens": [1829, 3555, 4587, 7578, 23758, 34892, 38251, 13672, 1829, 12602, 38251, 8315, 11296, 39896, 6225, 3555, 9640, 3660, 18871, 288, 6055, 3794, 995, 45865, 2423, 1465, 17340, 2031, 16070, 87, 3714, 5016, 9381, 13063, 3660, 19446, 49374, 21136, 6027, 3555, 36764, 24401, 16070, 14407, 24401], "avg_logprob": -0.20974864292403925, "compression_ratio": 1.403225806451613, "no_speech_prob": 0.0, "words": [{"start": 2969.14, "end": 2969.7, "word": "يبقى", "probability": 0.8978271484375}, {"start": 2969.7, "end": 2970.0, "word": " هذا", "probability": 0.357177734375}, {"start": 2970.0, "end": 2970.48, "word": " الرسم", "probability": 0.967529296875}, {"start": 2970.48, "end": 2970.76, "word": " اللي", "probability": 0.834716796875}, {"start": 2970.76, "end": 2971.94, "word": " رسمناها", "probability": 0.947021484375}, {"start": 2971.94, "end": 2972.56, "word": " هي", "probability": 0.794921875}, {"start": 2972.56, "end": 2973.22, "word": " عبارة", "probability": 0.9278564453125}, {"start": 2973.22, "end": 2973.74, "word": " عن", "probability": 0.99462890625}, {"start": 2973.74, "end": 2974.48, "word": " y", "probability": 0.48974609375}, {"start": 2974.48, "end": 2975.44, "word": " تساوي", "probability": 0.79510498046875}, {"start": 2975.44, "end": 2975.68, "word": " ال", "probability": 0.368896484375}, {"start": 2975.68, "end": 2976.24, "word": " sign", "probability": 0.335693359375}, {"start": 2976.24, "end": 2977.22, "word": " inverse", "probability": 0.89892578125}, {"start": 2977.22, "end": 2977.9, "word": " x", "probability": 0.84130859375}, {"start": 2977.9, "end": 2979.1, "word": " والx", "probability": 0.4892578125}, {"start": 2979.1, "end": 2979.96, "word": " محصورة", "probability": 0.97138671875}, {"start": 2979.96, "end": 2980.08, "word": " ما", "probability": 0.80712890625}, {"start": 2980.08, "end": 2980.34, "word": " بين", "probability": 0.9912109375}, {"start": 2980.34, "end": 2980.92, "word": " السالب", "probability": 0.6732584635416666}, {"start": 2980.92, "end": 2981.48, "word": " واحد", "probability": 0.968505859375}, {"start": 2981.48, "end": 2982.58, "word": " والواحد", "probability": 0.91357421875}], "temperature": 1.0}, {"id": 131, "seek": 300759, "start": 2983.19, "end": 3007.59, "text": "تمام؟ طيب ممتاز يبقى عرفنا رسمة معكوسة دالة وعرفنا ال domain و ال range ايه اللي هي ال domain من سلب واحد إلى واحد و ال range من سلب باي على اتنين إلى باي على اتنين اذا خلينا نكتب بعض خواص ال sign هذه يبقى بالداجة اقول انه some properties", "tokens": [2655, 15042, 2304, 22807, 23032, 1829, 3555, 3714, 2304, 2655, 31377, 7251, 3555, 4587, 7578, 6225, 28480, 8315, 12602, 38251, 3660, 20449, 4117, 41779, 3660, 11778, 6027, 3660, 4032, 3615, 28480, 8315, 2423, 9274, 4032, 2423, 3613, 1975, 1829, 3224, 13672, 1829, 39896, 2423, 9274, 9154, 8608, 46152, 36764, 24401, 30731, 36764, 24401, 4032, 2423, 3613, 9154, 8608, 46152, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 30731, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 1975, 15730, 16490, 1211, 9957, 995, 8717, 4117, 2655, 3555, 45030, 11242, 16490, 2407, 33546, 2423, 1465, 29538, 7251, 3555, 4587, 7578, 20666, 3215, 26108, 3660, 1975, 39648, 16472, 3224, 512, 7221], "avg_logprob": -0.25949181741643174, "compression_ratio": 1.808411214953271, "no_speech_prob": 0.0, "words": [{"start": 2983.19, "end": 2984.17, "word": "تمام؟", "probability": 0.509521484375}, {"start": 2984.17, "end": 2984.79, "word": " طيب", "probability": 0.7794596354166666}, {"start": 2984.79, "end": 2985.33, "word": " ممتاز", "probability": 0.910888671875}, {"start": 2985.33, "end": 2985.59, "word": " يبقى", "probability": 0.78515625}, {"start": 2985.59, "end": 2986.11, "word": " عرفنا", "probability": 0.9134114583333334}, {"start": 2986.11, "end": 2986.79, "word": " رسمة", "probability": 0.9524739583333334}, {"start": 2986.79, "end": 2987.81, "word": " معكوسة", "probability": 0.8375244140625}, {"start": 2987.81, "end": 2988.37, "word": " دالة", "probability": 0.9547526041666666}, {"start": 2988.37, "end": 2989.25, "word": " وعرفنا", "probability": 0.9141845703125}, {"start": 2989.25, "end": 2989.37, "word": " ال", "probability": 0.91357421875}, {"start": 2989.37, "end": 2989.69, "word": " domain", "probability": 0.94677734375}, {"start": 2989.69, "end": 2989.91, "word": " و", "probability": 0.6748046875}, {"start": 2989.91, "end": 2990.01, "word": " ال", "probability": 0.77783203125}, {"start": 2990.01, "end": 2990.35, "word": " range", "probability": 0.9541015625}, {"start": 2990.35, "end": 2990.61, "word": " ايه", "probability": 0.63818359375}, {"start": 2990.61, "end": 2990.63, "word": " اللي", "probability": 0.671142578125}, {"start": 2990.63, "end": 2990.75, "word": " هي", "probability": 0.5927734375}, {"start": 2990.75, "end": 2991.27, "word": " ال", "probability": 0.8779296875}, {"start": 2991.27, "end": 2991.61, "word": " domain", "probability": 0.990234375}, {"start": 2991.61, "end": 2991.85, "word": " من", "probability": 0.98193359375}, {"start": 2991.85, "end": 2992.23, "word": " سلب", "probability": 0.341796875}, {"start": 2992.23, "end": 2992.71, "word": " واحد", "probability": 0.879638671875}, {"start": 2992.71, "end": 2993.11, "word": " إلى", "probability": 0.5634765625}, {"start": 2993.11, "end": 2993.77, "word": " واحد", "probability": 0.983642578125}, {"start": 2993.77, "end": 2994.21, "word": " و", "probability": 0.5703125}, {"start": 2994.21, "end": 2994.31, "word": " ال", "probability": 0.7470703125}, {"start": 2994.31, "end": 2994.63, "word": " range", "probability": 0.94091796875}, {"start": 2994.63, "end": 2994.85, "word": " من", "probability": 0.99462890625}, {"start": 2994.85, "end": 2995.19, "word": " سلب", "probability": 0.95556640625}, {"start": 2995.19, "end": 2995.41, "word": " باي", "probability": 0.557861328125}, {"start": 2995.41, "end": 2995.55, "word": " على", "probability": 0.73095703125}, {"start": 2995.55, "end": 2996.03, "word": " اتنين", "probability": 0.9678955078125}, {"start": 2996.03, "end": 2996.45, "word": " إلى", "probability": 0.74755859375}, {"start": 2996.45, "end": 2997.11, "word": " باي", "probability": 0.83203125}, {"start": 2997.11, "end": 2997.75, "word": " على", "probability": 0.89599609375}, {"start": 2997.75, "end": 2998.51, "word": " اتنين", "probability": 0.9754638671875}, {"start": 2998.51, "end": 2999.13, "word": " اذا", "probability": 0.6988525390625}, {"start": 2999.13, "end": 2999.75, "word": " خلينا", "probability": 0.6885986328125}, {"start": 2999.75, "end": 3000.33, "word": " نكتب", "probability": 0.994384765625}, {"start": 3000.33, "end": 3000.89, "word": " بعض", "probability": 0.952880859375}, {"start": 3000.89, "end": 3001.77, "word": " خواص", "probability": 0.8513997395833334}, {"start": 3001.77, "end": 3001.97, "word": " ال", "probability": 0.86572265625}, {"start": 3001.97, "end": 3002.43, "word": " sign", "probability": 0.89306640625}, {"start": 3002.43, "end": 3002.83, "word": " هذه", "probability": 0.525390625}, {"start": 3002.83, "end": 3003.47, "word": " يبقى", "probability": 0.9544677734375}, {"start": 3003.47, "end": 3003.99, "word": " بالداجة", "probability": 0.665283203125}, {"start": 3003.99, "end": 3004.39, "word": " اقول", "probability": 0.875244140625}, {"start": 3004.39, "end": 3004.79, "word": " انه", "probability": 0.481689453125}, {"start": 3004.79, "end": 3005.33, "word": " some", "probability": 0.8583984375}, {"start": 3005.33, "end": 3007.59, "word": " properties", "probability": 0.364501953125}], "temperature": 1.0}, {"id": 132, "seek": 304055, "start": 3011.75, "end": 3040.55, "text": "some properties of y تساوي sin inverse x خاصية الأولى بدي أجيب domain sin inverse x يساوي من وين لوين من سالب واحد إلى واحد and", "tokens": [23189, 7221, 295, 288, 6055, 3794, 995, 45865, 3343, 17340, 2031, 16490, 33546, 10632, 16247, 12610, 7578, 4724, 16254, 5551, 7435, 1829, 3555, 9274, 3343, 17340, 2031, 7251, 3794, 995, 45865, 9154, 4032, 9957, 5296, 2407, 9957, 9154, 8608, 6027, 3555, 36764, 24401, 30731, 36764, 24401, 293], "avg_logprob": -0.30712891432146233, "compression_ratio": 1.3923076923076922, "no_speech_prob": 0.0, "words": [{"start": 3011.75, "end": 3012.13, "word": "some", "probability": 0.053619384765625}, {"start": 3012.13, "end": 3013.25, "word": " properties", "probability": 0.86865234375}, {"start": 3013.25, "end": 3019.41, "word": " of", "probability": 0.85693359375}, {"start": 3019.41, "end": 3020.55, "word": " y", "probability": 0.6640625}, {"start": 3020.55, "end": 3021.27, "word": " تساوي", "probability": 0.71002197265625}, {"start": 3021.27, "end": 3021.95, "word": " sin", "probability": 0.11724853515625}, {"start": 3021.95, "end": 3022.87, "word": " inverse", "probability": 0.75244140625}, {"start": 3022.87, "end": 3023.59, "word": " x", "probability": 0.92529296875}, {"start": 3023.59, "end": 3026.71, "word": " خاصية", "probability": 0.88720703125}, {"start": 3026.71, "end": 3027.73, "word": " الأولى", "probability": 0.810546875}, {"start": 3027.73, "end": 3028.63, "word": " بدي", "probability": 0.609375}, {"start": 3028.63, "end": 3029.09, "word": " أجيب", "probability": 0.886962890625}, {"start": 3029.09, "end": 3029.87, "word": " domain", "probability": 0.93017578125}, {"start": 3029.87, "end": 3031.11, "word": " sin", "probability": 0.71142578125}, {"start": 3031.11, "end": 3032.15, "word": " inverse", "probability": 0.8408203125}, {"start": 3032.15, "end": 3032.77, "word": " x", "probability": 0.97900390625}, {"start": 3032.77, "end": 3033.93, "word": " يساوي", "probability": 0.9085693359375}, {"start": 3033.93, "end": 3034.37, "word": " من", "probability": 0.921875}, {"start": 3034.37, "end": 3034.57, "word": " وين", "probability": 0.75341796875}, {"start": 3034.57, "end": 3035.05, "word": " لوين", "probability": 0.7501627604166666}, {"start": 3035.05, "end": 3036.29, "word": " من", "probability": 0.68359375}, {"start": 3036.29, "end": 3036.97, "word": " سالب", "probability": 0.7233072916666666}, {"start": 3036.97, "end": 3037.81, "word": " واحد", "probability": 0.980224609375}, {"start": 3037.81, "end": 3038.55, "word": " إلى", "probability": 0.79296875}, {"start": 3038.55, "end": 3039.23, "word": " واحد", "probability": 0.9814453125}, {"start": 3039.23, "end": 3040.55, "word": " and", "probability": 0.92919921875}], "temperature": 1.0}, {"id": 133, "seek": 306870, "start": 3041.6, "end": 3068.7, "text": "الـ Range لـ sine inverse X بدي ساوي برضه سالب باي على اتنين الى باي على اتنين as any closed interval النقطة الثانية لو جيت قولتلك المنحنى Y تساوي sine inverse X is equivalent to", "tokens": [6027, 39184, 33778, 5296, 39184, 18609, 17340, 1783, 4724, 16254, 8608, 995, 45865, 4724, 43042, 3224, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 2423, 7578, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 382, 604, 5395, 15035, 28239, 47432, 3660, 6024, 104, 7649, 10632, 45164, 10874, 36081, 12174, 12610, 2655, 23275, 9673, 1863, 5016, 1863, 7578, 398, 6055, 3794, 995, 45865, 18609, 17340, 1783, 307, 10344, 281], "avg_logprob": -0.2886160650423595, "compression_ratio": 1.505813953488372, "no_speech_prob": 0.0, "words": [{"start": 3041.6, "end": 3042.12, "word": "الـ", "probability": 0.3870849609375}, {"start": 3042.12, "end": 3042.76, "word": " Range", "probability": 0.65771484375}, {"start": 3042.76, "end": 3044.02, "word": " لـ", "probability": 0.81787109375}, {"start": 3044.02, "end": 3044.4, "word": " sine", "probability": 0.2037353515625}, {"start": 3044.4, "end": 3045.46, "word": " inverse", "probability": 0.859375}, {"start": 3045.46, "end": 3046.72, "word": " X", "probability": 0.5283203125}, {"start": 3046.72, "end": 3047.48, "word": " بدي", "probability": 0.43994140625}, {"start": 3047.48, "end": 3048.24, "word": " ساوي", "probability": 0.833984375}, {"start": 3048.24, "end": 3049.18, "word": " برضه", "probability": 0.9127604166666666}, {"start": 3049.18, "end": 3049.68, "word": " سالب", "probability": 0.6278076171875}, {"start": 3049.68, "end": 3049.92, "word": " باي", "probability": 0.392333984375}, {"start": 3049.92, "end": 3050.14, "word": " على", "probability": 0.6494140625}, {"start": 3050.14, "end": 3050.74, "word": " اتنين", "probability": 0.97412109375}, {"start": 3050.74, "end": 3051.46, "word": " الى", "probability": 0.7626953125}, {"start": 3051.46, "end": 3051.8, "word": " باي", "probability": 0.72998046875}, {"start": 3051.8, "end": 3052.06, "word": " على", "probability": 0.8916015625}, {"start": 3052.06, "end": 3052.68, "word": " اتنين", "probability": 0.984375}, {"start": 3052.68, "end": 3053.3, "word": " as", "probability": 0.55419921875}, {"start": 3053.3, "end": 3053.78, "word": " any", "probability": 0.92529296875}, {"start": 3053.78, "end": 3054.3, "word": " closed", "probability": 0.86376953125}, {"start": 3054.3, "end": 3055.12, "word": " interval", "probability": 0.98095703125}, {"start": 3055.12, "end": 3056.96, "word": " النقطة", "probability": 0.9031575520833334}, {"start": 3056.96, "end": 3057.72, "word": " الثانية", "probability": 0.9625244140625}, {"start": 3057.72, "end": 3058.34, "word": " لو", "probability": 0.6767578125}, {"start": 3058.34, "end": 3058.64, "word": " جيت", "probability": 0.69091796875}, {"start": 3058.64, "end": 3059.1, "word": " قولتلك", "probability": 0.73199462890625}, {"start": 3059.1, "end": 3059.96, "word": " المنحنى", "probability": 0.865625}, {"start": 3059.96, "end": 3060.28, "word": " Y", "probability": 0.8251953125}, {"start": 3060.28, "end": 3061.12, "word": " تساوي", "probability": 0.9110107421875}, {"start": 3061.12, "end": 3061.84, "word": " sine", "probability": 0.279541015625}, {"start": 3061.84, "end": 3062.66, "word": " inverse", "probability": 0.87060546875}, {"start": 3062.66, "end": 3063.26, "word": " X", "probability": 0.98388671875}, {"start": 3063.26, "end": 3064.22, "word": " is", "probability": 0.8642578125}, {"start": 3064.22, "end": 3065.64, "word": " equivalent", "probability": 0.94140625}, {"start": 3065.64, "end": 3068.7, "word": " to", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 134, "seek": 309718, "start": 3072.46, "end": 3097.18, "text": "بدي اجيب العبارة المكافئة لهذه العبارة تمام؟ شو بدي اعمل؟ بدي اثر على الطرفين domain ب sign يبقى بصير هنا sign ال Y يساوي sign ل sign inverse X كده اش بيقولك X يبقى هذا بدي يقولك X بشرط", "tokens": [3555, 16254, 1975, 7435, 1829, 3555, 18863, 3555, 9640, 3660, 9673, 4117, 31845, 19986, 3660, 46740, 24192, 18863, 3555, 9640, 3660, 46811, 10943, 22807, 13412, 2407, 4724, 16254, 1975, 25957, 1211, 22807, 4724, 16254, 1975, 49115, 15844, 41950, 28480, 9957, 9274, 4724, 1465, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 34105, 1465, 2423, 398, 7251, 3794, 995, 45865, 1465, 5296, 1465, 17340, 1783, 9122, 3215, 3224, 1975, 8592, 4724, 1829, 39648, 4117, 1783, 7251, 3555, 4587, 7578, 23758, 4724, 16254, 7251, 39648, 4117, 1783, 4724, 46309, 9566], "avg_logprob": -0.237748574804176, "compression_ratio": 1.633879781420765, "no_speech_prob": 0.0, "words": [{"start": 3072.46, "end": 3072.88, "word": "بدي", "probability": 0.3529052734375}, {"start": 3072.88, "end": 3073.18, "word": " اجيب", "probability": 0.7144775390625}, {"start": 3073.18, "end": 3073.92, "word": " العبارة", "probability": 0.97900390625}, {"start": 3073.92, "end": 3075.08, "word": " المكافئة", "probability": 0.91669921875}, {"start": 3075.08, "end": 3075.68, "word": " لهذه", "probability": 0.939697265625}, {"start": 3075.68, "end": 3076.58, "word": " العبارة", "probability": 0.9847412109375}, {"start": 3076.58, "end": 3077.66, "word": " تمام؟", "probability": 0.6079915364583334}, {"start": 3077.66, "end": 3078.0, "word": " شو", "probability": 0.7724609375}, {"start": 3078.0, "end": 3078.22, "word": " بدي", "probability": 0.9453125}, {"start": 3078.22, "end": 3079.14, "word": " اعمل؟", "probability": 0.9422607421875}, {"start": 3079.14, "end": 3079.44, "word": " بدي", "probability": 0.89306640625}, {"start": 3079.44, "end": 3079.94, "word": " اثر", "probability": 0.7783203125}, {"start": 3079.94, "end": 3080.3, "word": " على", "probability": 0.83203125}, {"start": 3080.3, "end": 3081.24, "word": " الطرفين", "probability": 0.953125}, {"start": 3081.24, "end": 3082.06, "word": " domain", "probability": 0.22705078125}, {"start": 3082.06, "end": 3082.92, "word": " ب", "probability": 0.953125}, {"start": 3082.92, "end": 3083.66, "word": " sign", "probability": 0.352294921875}, {"start": 3083.66, "end": 3084.68, "word": " يبقى", "probability": 0.953125}, {"start": 3084.68, "end": 3085.14, "word": " بصير", "probability": 0.9241536458333334}, {"start": 3085.14, "end": 3085.68, "word": " هنا", "probability": 0.98193359375}, {"start": 3085.68, "end": 3086.68, "word": " sign", "probability": 0.546875}, {"start": 3086.68, "end": 3087.04, "word": " ال", "probability": 0.9130859375}, {"start": 3087.04, "end": 3087.66, "word": " Y", "probability": 0.3212890625}, {"start": 3087.66, "end": 3088.8, "word": " يساوي", "probability": 0.9375}, {"start": 3088.8, "end": 3090.08, "word": " sign", "probability": 0.59521484375}, {"start": 3090.08, "end": 3090.42, "word": " ل", "probability": 0.69287109375}, {"start": 3090.42, "end": 3090.92, "word": " sign", "probability": 0.70361328125}, {"start": 3090.92, "end": 3091.6, "word": " inverse", "probability": 0.9404296875}, {"start": 3091.6, "end": 3091.9, "word": " X", "probability": 0.8662109375}, {"start": 3091.9, "end": 3092.16, "word": " كده", "probability": 0.8274739583333334}, {"start": 3092.16, "end": 3092.24, "word": " اش", "probability": 0.5196533203125}, {"start": 3092.24, "end": 3092.86, "word": " بيقولك", "probability": 0.7017822265625}, {"start": 3092.86, "end": 3094.0, "word": " X", "probability": 0.6904296875}, {"start": 3094.0, "end": 3094.78, "word": " يبقى", "probability": 0.9385986328125}, {"start": 3094.78, "end": 3095.06, "word": " هذا", "probability": 0.89306640625}, {"start": 3095.06, "end": 3095.44, "word": " بدي", "probability": 0.6767578125}, {"start": 3095.44, "end": 3095.9, "word": " يقولك", "probability": 0.9013671875}, {"start": 3095.9, "end": 3096.14, "word": " X", "probability": 0.9775390625}, {"start": 3096.14, "end": 3097.18, "word": " بشرط", "probability": 0.85009765625}], "temperature": 1.0}, {"id": 135, "seek": 312266, "start": 3097.4, "end": 3122.66, "text": "إن الـ X تبقى موجودة في دمين الـ sine inverse لو ماكنتش بصير كلامنا هذا ماله غلط اذا حازم أريك بغدا ان شاء الله بعض الأمثلة يبقى هنا هذا الكلام بده يساوي الشكل عن هذا إذا كانت ال X فعلا في دمين ال sine inverse يعني إذا كان ال sine inverse X exist automatic بيكون sine ال Y بساوي X", "tokens": [28814, 1863, 2423, 39184, 1783, 6055, 3555, 4587, 7578, 3714, 29245, 23328, 3660, 8978, 11778, 2304, 9957, 2423, 39184, 18609, 17340, 45164, 19446, 19452, 2655, 8592, 4724, 9381, 13546, 28242, 10943, 8315, 23758, 3714, 6027, 3224, 32771, 1211, 9566, 1975, 15730, 11331, 31377, 2304, 5551, 16572, 4117, 4724, 17082, 28259, 16472, 13412, 16606, 21984, 45030, 11242, 16247, 2304, 12984, 37977, 7251, 3555, 4587, 7578, 34105, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 25124, 28820, 18871, 23758, 11933, 15730, 25961, 2655, 2423, 1783, 6156, 3615, 15040, 8978, 11778, 2304, 9957, 2423, 18609, 17340, 37495, 22653, 11933, 15730, 25961, 2423, 18609, 17340, 1783, 2514, 12509, 4724, 1829, 30544, 18609, 2423, 398, 4724, 3794, 995, 45865, 1783], "avg_logprob": -0.31700211637100933, "compression_ratio": 1.8089430894308942, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3097.4, "end": 3097.72, "word": "إن", "probability": 0.53485107421875}, {"start": 3097.72, "end": 3098.0, "word": " الـ", "probability": 0.5042724609375}, {"start": 3098.0, "end": 3098.2, "word": " X", "probability": 0.51416015625}, {"start": 3098.2, "end": 3098.62, "word": " تبقى", "probability": 0.927734375}, {"start": 3098.62, "end": 3099.14, "word": " موجودة", "probability": 0.9857177734375}, {"start": 3099.14, "end": 3099.3, "word": " في", "probability": 0.95947265625}, {"start": 3099.3, "end": 3099.82, "word": " دمين", "probability": 0.48046875}, {"start": 3099.82, "end": 3100.1, "word": " الـ", "probability": 0.888427734375}, {"start": 3100.1, "end": 3100.48, "word": " sine", "probability": 0.181396484375}, {"start": 3100.48, "end": 3100.98, "word": " inverse", "probability": 0.810546875}, {"start": 3100.98, "end": 3101.44, "word": " لو", "probability": 0.34326171875}, {"start": 3101.44, "end": 3102.1, "word": " ماكنتش", "probability": 0.756103515625}, {"start": 3102.1, "end": 3102.36, "word": " بصير", "probability": 0.7669270833333334}, {"start": 3102.36, "end": 3102.8, "word": " كلامنا", "probability": 0.7433268229166666}, {"start": 3102.8, "end": 3102.98, "word": " هذا", "probability": 0.94677734375}, {"start": 3102.98, "end": 3103.48, "word": " ماله", "probability": 0.714111328125}, {"start": 3103.48, "end": 3104.48, "word": " غلط", "probability": 0.9134114583333334}, {"start": 3104.48, "end": 3104.64, "word": " اذا", "probability": 0.519287109375}, {"start": 3104.64, "end": 3105.0, "word": " حازم", "probability": 0.677490234375}, {"start": 3105.0, "end": 3105.42, "word": " أريك", "probability": 0.4940592447916667}, {"start": 3105.42, "end": 3106.76, "word": " بغدا", "probability": 0.685546875}, {"start": 3106.76, "end": 3106.94, "word": " ان", "probability": 0.65478515625}, {"start": 3106.94, "end": 3107.22, "word": " شاء", "probability": 0.9638671875}, {"start": 3107.22, "end": 3107.28, "word": " الله", "probability": 0.93701171875}, {"start": 3107.28, "end": 3107.62, "word": " بعض", "probability": 0.97412109375}, {"start": 3107.62, "end": 3108.26, "word": " الأمثلة", "probability": 0.974609375}, {"start": 3108.26, "end": 3109.18, "word": " يبقى", "probability": 0.97607421875}, {"start": 3109.18, "end": 3109.52, "word": " هنا", "probability": 0.99169921875}, {"start": 3109.52, "end": 3110.16, "word": " هذا", "probability": 0.9462890625}, {"start": 3110.16, "end": 3110.64, "word": " الكلام", "probability": 0.9632161458333334}, {"start": 3110.64, "end": 3111.04, "word": " بده", "probability": 0.422119140625}, {"start": 3111.04, "end": 3111.66, "word": " يساوي", "probability": 0.9058837890625}, {"start": 3111.66, "end": 3112.22, "word": " الشكل", "probability": 0.709716796875}, {"start": 3112.22, "end": 3112.48, "word": " عن", "probability": 0.421630859375}, {"start": 3112.48, "end": 3112.82, "word": " هذا", "probability": 0.8935546875}, {"start": 3112.82, "end": 3113.28, "word": " إذا", "probability": 0.959716796875}, {"start": 3113.28, "end": 3113.78, "word": " كانت", "probability": 0.8779296875}, {"start": 3113.78, "end": 3113.88, "word": " ال", "probability": 0.92236328125}, {"start": 3113.88, "end": 3114.16, "word": " X", "probability": 0.85888671875}, {"start": 3114.16, "end": 3114.96, "word": " فعلا", "probability": 0.8234049479166666}, {"start": 3114.96, "end": 3115.12, "word": " في", "probability": 0.89990234375}, {"start": 3115.12, "end": 3115.5, "word": " دمين", "probability": 0.9801432291666666}, {"start": 3115.5, "end": 3115.62, "word": " ال", "probability": 0.71923828125}, {"start": 3115.62, "end": 3115.82, "word": " sine", "probability": 0.798828125}, {"start": 3115.82, "end": 3116.12, "word": " inverse", "probability": 0.92138671875}, {"start": 3116.12, "end": 3116.46, "word": " يعني", "probability": 0.94189453125}, {"start": 3116.46, "end": 3116.7, "word": " إذا", "probability": 0.974365234375}, {"start": 3116.7, "end": 3117.0, "word": " كان", "probability": 0.994140625}, {"start": 3117.0, "end": 3117.14, "word": " ال", "probability": 0.779296875}, {"start": 3117.14, "end": 3117.4, "word": " sine", "probability": 0.89501953125}, {"start": 3117.4, "end": 3118.08, "word": " inverse", "probability": 0.921875}, {"start": 3118.08, "end": 3118.56, "word": " X", "probability": 0.9462890625}, {"start": 3118.56, "end": 3119.48, "word": " exist", "probability": 0.552734375}, {"start": 3119.48, "end": 3120.44, "word": " automatic", "probability": 0.1556396484375}, {"start": 3120.44, "end": 3121.02, "word": " بيكون", "probability": 0.7783203125}, {"start": 3121.02, "end": 3121.42, "word": " sine", "probability": 0.318359375}, {"start": 3121.42, "end": 3121.6, "word": " ال", "probability": 0.70068359375}, {"start": 3121.6, "end": 3121.9, "word": " Y", "probability": 0.94580078125}, {"start": 3121.9, "end": 3122.46, "word": " بساوي", "probability": 0.74615478515625}, {"start": 3122.46, "end": 3122.66, "word": " X", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 136, "seek": 313825, "start": 3123.51, "end": 3138.25, "text": "الخاصية التالتة لو أخدت sign inverse ل sign ال X زي ما أنا بقول هذا الكلام فعلا بده يساوي X إذا ال X موجودة في domain mean", "tokens": [6027, 9778, 33546, 10632, 16712, 6027, 2655, 3660, 45164, 5551, 9778, 3215, 2655, 1465, 17340, 5296, 1465, 2423, 1783, 30767, 1829, 19446, 41850, 4724, 39648, 23758, 2423, 28820, 10943, 6156, 3615, 15040, 47525, 3224, 7251, 3794, 995, 45865, 1783, 11933, 15730, 2423, 1783, 3714, 29245, 23328, 3660, 8978, 9274, 914], "avg_logprob": -0.18367033963109933, "compression_ratio": 1.3194444444444444, "no_speech_prob": 0.0, "words": [{"start": 3123.51, "end": 3124.47, "word": "الخاصية", "probability": 0.9412841796875}, {"start": 3124.47, "end": 3125.07, "word": " التالتة", "probability": 0.938720703125}, {"start": 3125.07, "end": 3125.33, "word": " لو", "probability": 0.5458984375}, {"start": 3125.33, "end": 3126.13, "word": " أخدت", "probability": 0.931884765625}, {"start": 3126.13, "end": 3126.93, "word": " sign", "probability": 0.1732177734375}, {"start": 3126.93, "end": 3127.79, "word": " inverse", "probability": 0.8837890625}, {"start": 3127.79, "end": 3128.39, "word": " ل", "probability": 0.94287109375}, {"start": 3128.39, "end": 3128.87, "word": " sign", "probability": 0.7138671875}, {"start": 3128.87, "end": 3129.05, "word": " ال", "probability": 0.77880859375}, {"start": 3129.05, "end": 3129.29, "word": " X", "probability": 0.60791015625}, {"start": 3129.29, "end": 3129.61, "word": " زي", "probability": 0.91650390625}, {"start": 3129.61, "end": 3129.73, "word": " ما", "probability": 0.94970703125}, {"start": 3129.73, "end": 3129.95, "word": " أنا", "probability": 0.7763671875}, {"start": 3129.95, "end": 3130.47, "word": " بقول", "probability": 0.958984375}, {"start": 3130.47, "end": 3131.69, "word": " هذا", "probability": 0.77294921875}, {"start": 3131.69, "end": 3132.25, "word": " الكلام", "probability": 0.95654296875}, {"start": 3132.25, "end": 3132.91, "word": " فعلا", "probability": 0.93798828125}, {"start": 3132.91, "end": 3133.49, "word": " بده", "probability": 0.6551513671875}, {"start": 3133.49, "end": 3134.27, "word": " يساوي", "probability": 0.9683837890625}, {"start": 3134.27, "end": 3134.87, "word": " X", "probability": 0.96923828125}, {"start": 3134.87, "end": 3135.63, "word": " إذا", "probability": 0.958740234375}, {"start": 3135.63, "end": 3135.87, "word": " ال", "probability": 0.97021484375}, {"start": 3135.87, "end": 3136.25, "word": " X", "probability": 0.98046875}, {"start": 3136.25, "end": 3137.25, "word": " موجودة", "probability": 0.987060546875}, {"start": 3137.25, "end": 3137.39, "word": " في", "probability": 0.92529296875}, {"start": 3137.39, "end": 3137.73, "word": " domain", "probability": 0.97314453125}, {"start": 3137.73, "end": 3138.25, "word": " mean", "probability": 0.293212890625}], "temperature": 1.0}, {"id": 137, "seek": 316891, "start": 3141.43, "end": 3168.91, "text": "سالب باى على اتنين لباى اللى ال restriction اللى عملناه يبقى هذا إذا X موجودة من سالب باى على اتنين إلى باى على اتنين وفي نفس الوقت صين ال X لصين inverse X بده يسوى X إذا كانت ال X موجودة في دمية ال main صين inverse يعني قداش", "tokens": [3794, 6027, 3555, 4724, 995, 7578, 15844, 1975, 2655, 1863, 9957, 5296, 3555, 995, 7578, 13672, 7578, 2423, 29529, 13672, 7578, 6225, 42213, 8315, 3224, 7251, 3555, 4587, 7578, 23758, 11933, 15730, 1783, 3714, 29245, 23328, 3660, 9154, 8608, 6027, 3555, 4724, 995, 7578, 15844, 1975, 2655, 1863, 9957, 30731, 4724, 995, 7578, 15844, 1975, 2655, 1863, 9957, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 20328, 9957, 2423, 1783, 5296, 9381, 9957, 17340, 1783, 47525, 3224, 7251, 3794, 2407, 7578, 1783, 11933, 15730, 25961, 2655, 2423, 1783, 3714, 29245, 23328, 3660, 8978, 11778, 2304, 10632, 2423, 2135, 20328, 9957, 17340, 37495, 22653, 12174, 3215, 33599], "avg_logprob": -0.2336379660750335, "compression_ratio": 1.9267015706806283, "no_speech_prob": 0.0, "words": [{"start": 3141.43, "end": 3142.05, "word": "سالب", "probability": 0.7242024739583334}, {"start": 3142.05, "end": 3142.31, "word": " باى", "probability": 0.5445963541666666}, {"start": 3142.31, "end": 3142.47, "word": " على", "probability": 0.59716796875}, {"start": 3142.47, "end": 3142.81, "word": " اتنين", "probability": 0.9678955078125}, {"start": 3142.81, "end": 3143.21, "word": " لباى", "probability": 0.67559814453125}, {"start": 3143.21, "end": 3143.45, "word": " اللى", "probability": 0.452392578125}, {"start": 3143.45, "end": 3143.59, "word": " ال", "probability": 0.4267578125}, {"start": 3143.59, "end": 3144.19, "word": " restriction", "probability": 0.61474609375}, {"start": 3144.19, "end": 3144.57, "word": " اللى", "probability": 0.99365234375}, {"start": 3144.57, "end": 3145.77, "word": " عملناه", "probability": 0.944091796875}, {"start": 3145.77, "end": 3146.27, "word": " يبقى", "probability": 0.963134765625}, {"start": 3146.27, "end": 3146.61, "word": " هذا", "probability": 0.8896484375}, {"start": 3146.61, "end": 3146.97, "word": " إذا", "probability": 0.765380859375}, {"start": 3146.97, "end": 3147.35, "word": " X", "probability": 0.5576171875}, {"start": 3147.35, "end": 3148.25, "word": " موجودة", "probability": 0.9813232421875}, {"start": 3148.25, "end": 3148.47, "word": " من", "probability": 0.98828125}, {"start": 3148.47, "end": 3149.13, "word": " سالب", "probability": 0.96728515625}, {"start": 3149.13, "end": 3149.55, "word": " باى", "probability": 0.9542643229166666}, {"start": 3149.55, "end": 3149.85, "word": " على", "probability": 0.90087890625}, {"start": 3149.85, "end": 3150.49, "word": " اتنين", "probability": 0.987060546875}, {"start": 3150.49, "end": 3151.21, "word": " إلى", "probability": 0.64892578125}, {"start": 3151.21, "end": 3152.01, "word": " باى", "probability": 0.97802734375}, {"start": 3152.01, "end": 3152.33, "word": " على", "probability": 0.91943359375}, {"start": 3152.33, "end": 3152.93, "word": " اتنين", "probability": 0.9892578125}, {"start": 3152.93, "end": 3153.71, "word": " وفي", "probability": 0.8427734375}, {"start": 3153.71, "end": 3154.15, "word": " نفس", "probability": 0.998291015625}, {"start": 3154.15, "end": 3155.17, "word": " الوقت", "probability": 0.9860026041666666}, {"start": 3155.17, "end": 3155.91, "word": " صين", "probability": 0.555389404296875}, {"start": 3155.91, "end": 3156.19, "word": " ال", "probability": 0.82373046875}, {"start": 3156.19, "end": 3156.75, "word": " X", "probability": 0.94189453125}, {"start": 3156.75, "end": 3158.19, "word": " لصين", "probability": 0.9041341145833334}, {"start": 3158.19, "end": 3159.05, "word": " inverse", "probability": 0.72705078125}, {"start": 3159.05, "end": 3159.77, "word": " X", "probability": 0.98095703125}, {"start": 3159.77, "end": 3160.49, "word": " بده", "probability": 0.4393310546875}, {"start": 3160.49, "end": 3161.15, "word": " يسوى", "probability": 0.81134033203125}, {"start": 3161.15, "end": 3161.67, "word": " X", "probability": 0.98583984375}, {"start": 3161.67, "end": 3162.45, "word": " إذا", "probability": 0.97021484375}, {"start": 3162.45, "end": 3163.37, "word": " كانت", "probability": 0.9755859375}, {"start": 3163.37, "end": 3163.97, "word": " ال", "probability": 0.92578125}, {"start": 3163.97, "end": 3164.41, "word": " X", "probability": 0.98486328125}, {"start": 3164.41, "end": 3165.17, "word": " موجودة", "probability": 0.9879150390625}, {"start": 3165.17, "end": 3165.29, "word": " في", "probability": 0.92431640625}, {"start": 3165.29, "end": 3165.63, "word": " دمية", "probability": 0.7432454427083334}, {"start": 3165.63, "end": 3165.73, "word": " ال", "probability": 0.493896484375}, {"start": 3165.73, "end": 3166.17, "word": " main", "probability": 0.36279296875}, {"start": 3166.17, "end": 3167.51, "word": " صين", "probability": 0.60406494140625}, {"start": 3167.51, "end": 3167.87, "word": " inverse", "probability": 0.9169921875}, {"start": 3167.87, "end": 3168.27, "word": " يعني", "probability": 0.9384765625}, {"start": 3168.27, "end": 3168.91, "word": " قداش", "probability": 0.69970703125}], "temperature": 1.0}, {"id": 138, "seek": 319822, "start": 3169.38, "end": 3198.22, "text": "من سالب واحد إلى واحد as any closed interval بلّة أن الخاصية الرابعة والاخيرة من الخواصات اللي بدنا نعطيهم في هذه اللحظة الخاصية الرابعة لو أخدت ال limit يبقى limit ل sign inverse x لما ال x بدأ تروح للواحد من جهة الشمال", "tokens": [27842, 8608, 6027, 3555, 36764, 24401, 30731, 36764, 24401, 382, 604, 5395, 15035, 4724, 1211, 11703, 3660, 14739, 33962, 33546, 10632, 34892, 16758, 27884, 16070, 47283, 48923, 9154, 33962, 14407, 9381, 9307, 13672, 1829, 47525, 8315, 8717, 3615, 9566, 1829, 16095, 8978, 29538, 13672, 5016, 19913, 3660, 33962, 33546, 10632, 34892, 16758, 27884, 45164, 5551, 9778, 3215, 2655, 2423, 4948, 7251, 3555, 4587, 7578, 4948, 5296, 1465, 17340, 2031, 5296, 15042, 2423, 2031, 47525, 10721, 6055, 32887, 5016, 24976, 14407, 24401, 9154, 10874, 3224, 3660, 25124, 2304, 6027], "avg_logprob": -0.1806530925665009, "compression_ratio": 1.6481481481481481, "no_speech_prob": 0.0, "words": [{"start": 3169.38, "end": 3169.8, "word": "من", "probability": 0.61669921875}, {"start": 3169.8, "end": 3170.58, "word": " سالب", "probability": 0.7647298177083334}, {"start": 3170.58, "end": 3171.62, "word": " واحد", "probability": 0.968994140625}, {"start": 3171.62, "end": 3172.2, "word": " إلى", "probability": 0.560546875}, {"start": 3172.2, "end": 3172.84, "word": " واحد", "probability": 0.9853515625}, {"start": 3172.84, "end": 3173.4, "word": " as", "probability": 0.53515625}, {"start": 3173.4, "end": 3173.94, "word": " any", "probability": 0.91162109375}, {"start": 3173.94, "end": 3174.64, "word": " closed", "probability": 0.82568359375}, {"start": 3174.64, "end": 3175.42, "word": " interval", "probability": 0.96826171875}, {"start": 3175.42, "end": 3177.56, "word": " بلّة", "probability": 0.609619140625}, {"start": 3177.56, "end": 3177.82, "word": " أن", "probability": 0.6103515625}, {"start": 3177.82, "end": 3178.62, "word": " الخاصية", "probability": 0.9588216145833334}, {"start": 3178.62, "end": 3179.18, "word": " الرابعة", "probability": 0.9775390625}, {"start": 3179.18, "end": 3180.56, "word": " والاخيرة", "probability": 0.7003580729166666}, {"start": 3180.56, "end": 3180.8, "word": " من", "probability": 0.9091796875}, {"start": 3180.8, "end": 3181.5, "word": " الخواصات", "probability": 0.7401123046875}, {"start": 3181.5, "end": 3181.6, "word": " اللي", "probability": 0.741455078125}, {"start": 3181.6, "end": 3181.84, "word": " بدنا", "probability": 0.81640625}, {"start": 3181.84, "end": 3182.68, "word": " نعطيهم", "probability": 0.9841796875}, {"start": 3182.68, "end": 3183.22, "word": " في", "probability": 0.85791015625}, {"start": 3183.22, "end": 3183.86, "word": " هذه", "probability": 0.9638671875}, {"start": 3183.86, "end": 3185.2, "word": " اللحظة", "probability": 0.996337890625}, {"start": 3185.2, "end": 3186.0, "word": " الخاصية", "probability": 0.8650716145833334}, {"start": 3186.0, "end": 3186.48, "word": " الرابعة", "probability": 0.9879557291666666}, {"start": 3186.48, "end": 3187.12, "word": " لو", "probability": 0.60888671875}, {"start": 3187.12, "end": 3187.66, "word": " أخدت", "probability": 0.932861328125}, {"start": 3187.66, "end": 3187.84, "word": " ال", "probability": 0.5634765625}, {"start": 3187.84, "end": 3188.38, "word": " limit", "probability": 0.92431640625}, {"start": 3188.38, "end": 3189.6, "word": " يبقى", "probability": 0.9691162109375}, {"start": 3189.6, "end": 3190.32, "word": " limit", "probability": 0.59423828125}, {"start": 3190.32, "end": 3191.48, "word": " ل", "probability": 0.7724609375}, {"start": 3191.48, "end": 3192.18, "word": " sign", "probability": 0.31494140625}, {"start": 3192.18, "end": 3193.16, "word": " inverse", "probability": 0.92578125}, {"start": 3193.16, "end": 3193.74, "word": " x", "probability": 0.74365234375}, {"start": 3193.74, "end": 3194.56, "word": " لما", "probability": 0.925537109375}, {"start": 3194.56, "end": 3194.76, "word": " ال", "probability": 0.931640625}, {"start": 3194.76, "end": 3195.08, "word": " x", "probability": 0.76708984375}, {"start": 3195.08, "end": 3195.52, "word": " بدأ", "probability": 0.6533203125}, {"start": 3195.52, "end": 3195.86, "word": " تروح", "probability": 0.9646809895833334}, {"start": 3195.86, "end": 3196.56, "word": " للواحد", "probability": 0.9705403645833334}, {"start": 3196.56, "end": 3196.84, "word": " من", "probability": 0.99365234375}, {"start": 3196.84, "end": 3197.48, "word": " جهة", "probability": 0.8824869791666666}, {"start": 3197.48, "end": 3198.22, "word": " الشمال", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 139, "seek": 322626, "start": 3198.62, "end": 3226.26, "text": "يبقى احنا بدنا نروح للواحد من جهة الشمال يبقى هذا الكلام بده يساوي باي على اتنين and limit لل sign inverse X لما ال X بدها تروح لسالب واحد من جهة اليمين يبقى لو روحنا من جهة اليمين بلاقيها نزلت لمين؟", "tokens": [1829, 3555, 4587, 7578, 1975, 5016, 8315, 47525, 8315, 8717, 32887, 5016, 24976, 14407, 24401, 9154, 10874, 3224, 3660, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 293, 4948, 24976, 1465, 17340, 1783, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 5296, 3794, 6027, 3555, 36764, 24401, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 7251, 3555, 4587, 7578, 45164, 12602, 2407, 5016, 8315, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 4724, 15040, 38436, 11296, 8717, 11622, 1211, 2655, 32767, 9957, 22807], "avg_logprob": -0.2056502540304203, "compression_ratio": 1.8118279569892473, "no_speech_prob": 0.0, "words": [{"start": 3198.62, "end": 3199.22, "word": "يبقى", "probability": 0.7760009765625}, {"start": 3199.22, "end": 3199.72, "word": " احنا", "probability": 0.8795572916666666}, {"start": 3199.72, "end": 3200.28, "word": " بدنا", "probability": 0.93017578125}, {"start": 3200.28, "end": 3200.94, "word": " نروح", "probability": 0.8289388020833334}, {"start": 3200.94, "end": 3202.0, "word": " للواحد", "probability": 0.9345703125}, {"start": 3202.0, "end": 3202.64, "word": " من", "probability": 0.978515625}, {"start": 3202.64, "end": 3203.22, "word": " جهة", "probability": 0.9650065104166666}, {"start": 3203.22, "end": 3204.1, "word": " الشمال", "probability": 0.9894205729166666}, {"start": 3204.1, "end": 3208.18, "word": " يبقى", "probability": 0.75469970703125}, {"start": 3208.18, "end": 3208.46, "word": " هذا", "probability": 0.50390625}, {"start": 3208.46, "end": 3208.98, "word": " الكلام", "probability": 0.9676106770833334}, {"start": 3208.98, "end": 3209.34, "word": " بده", "probability": 0.3729248046875}, {"start": 3209.34, "end": 3209.76, "word": " يساوي", "probability": 0.9290771484375}, {"start": 3209.76, "end": 3210.22, "word": " باي", "probability": 0.3905029296875}, {"start": 3210.22, "end": 3210.48, "word": " على", "probability": 0.78369140625}, {"start": 3210.48, "end": 3211.2, "word": " اتنين", "probability": 0.9735107421875}, {"start": 3211.2, "end": 3212.3, "word": " and", "probability": 0.74853515625}, {"start": 3212.3, "end": 3213.48, "word": " limit", "probability": 0.97705078125}, {"start": 3213.48, "end": 3214.22, "word": " لل", "probability": 0.5712890625}, {"start": 3214.22, "end": 3214.78, "word": " sign", "probability": 0.37109375}, {"start": 3214.78, "end": 3215.66, "word": " inverse", "probability": 0.92822265625}, {"start": 3215.66, "end": 3216.3, "word": " X", "probability": 0.363037109375}, {"start": 3216.3, "end": 3217.16, "word": " لما", "probability": 0.922607421875}, {"start": 3217.16, "end": 3217.36, "word": " ال", "probability": 0.91650390625}, {"start": 3217.36, "end": 3217.72, "word": " X", "probability": 0.90576171875}, {"start": 3217.72, "end": 3218.2, "word": " بدها", "probability": 0.653076171875}, {"start": 3218.2, "end": 3218.56, "word": " تروح", "probability": 0.9905598958333334}, {"start": 3218.56, "end": 3219.4, "word": " لسالب", "probability": 0.857177734375}, {"start": 3219.4, "end": 3220.14, "word": " واحد", "probability": 0.981201171875}, {"start": 3220.14, "end": 3220.94, "word": " من", "probability": 0.99072265625}, {"start": 3220.94, "end": 3221.66, "word": " جهة", "probability": 0.9755859375}, {"start": 3221.66, "end": 3222.58, "word": " اليمين", "probability": 0.8042805989583334}, {"start": 3222.58, "end": 3223.28, "word": " يبقى", "probability": 0.8853759765625}, {"start": 3223.28, "end": 3223.5, "word": " لو", "probability": 0.93359375}, {"start": 3223.5, "end": 3223.92, "word": " روحنا", "probability": 0.959716796875}, {"start": 3223.92, "end": 3224.12, "word": " من", "probability": 0.9931640625}, {"start": 3224.12, "end": 3224.5, "word": " جهة", "probability": 0.9832356770833334}, {"start": 3224.5, "end": 3224.88, "word": " اليمين", "probability": 0.8426106770833334}, {"start": 3224.88, "end": 3225.3, "word": " بلاقيها", "probability": 0.7352294921875}, {"start": 3225.3, "end": 3225.66, "word": " نزلت", "probability": 0.9627685546875}, {"start": 3225.66, "end": 3226.26, "word": " لمين؟", "probability": 0.8870442708333334}], "temperature": 1.0}, {"id": 140, "seek": 325469, "start": 3226.65, "end": 3254.69, "text": "سالم باي على اتنين يبقى سالم باي على اتنين زي ما انتوا شايفينه طيب بكرا ان شاء الله تعالى بدنا نخش على باقى الخمس نسب يبقى عليها اللي عليهم قبل ما تيجي حتى تستفيد فعلا لإننا بدنا نعطي أمثلة عليهم وأمثلة زيها في الكتاب غالبا مافيش زيها في الكتاب دري بالك اه بس كلها أمثلة للذكاء", "tokens": [3794, 45340, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 8608, 45340, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 30767, 1829, 19446, 16472, 2655, 14407, 13412, 995, 33911, 9957, 3224, 23032, 1829, 3555, 4724, 4117, 23557, 16472, 13412, 16606, 21984, 37279, 6027, 7578, 47525, 8315, 8717, 9778, 8592, 15844, 4724, 995, 4587, 7578, 33962, 2304, 3794, 8717, 35457, 7251, 3555, 4587, 7578, 25894, 11296, 13672, 1829, 25894, 16095, 12174, 36150, 19446, 6055, 1829, 7435, 1829, 11331, 49975, 6055, 14851, 5172, 25708, 6156, 3615, 15040, 5296, 28814, 1863, 8315, 47525, 8315, 8717, 3615, 9566, 1829, 5551, 2304, 12984, 37977, 25894, 16095, 36725, 2304, 12984, 37977, 30767, 1829, 11296, 8978, 33251, 2655, 16758, 32771, 6027, 3555, 995, 19446, 41185, 8592, 30767, 1829, 11296, 8978, 33251, 2655, 16758, 11778, 16572, 20666, 4117, 1975, 3224, 4724, 3794, 28242, 11296, 5551, 2304, 12984, 37977, 24976, 8848, 4117, 16606], "avg_logprob": -0.1933460908682168, "compression_ratio": 2.2177777777777776, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 3226.65, "end": 3227.45, "word": "سالم", "probability": 0.18267822265625}, {"start": 3227.45, "end": 3227.81, "word": " باي", "probability": 0.375244140625}, {"start": 3227.81, "end": 3228.09, "word": " على", "probability": 0.83447265625}, {"start": 3228.09, "end": 3228.57, "word": " اتنين", "probability": 0.9500732421875}, {"start": 3228.57, "end": 3229.11, "word": " يبقى", "probability": 0.8365478515625}, {"start": 3229.11, "end": 3229.83, "word": " سالم", "probability": 0.924560546875}, {"start": 3229.83, "end": 3230.99, "word": " باي", "probability": 0.876220703125}, {"start": 3230.99, "end": 3231.61, "word": " على", "probability": 0.935546875}, {"start": 3231.61, "end": 3232.51, "word": " اتنين", "probability": 0.982177734375}, {"start": 3232.51, "end": 3232.81, "word": " زي", "probability": 0.732177734375}, {"start": 3232.81, "end": 3232.89, "word": " ما", "probability": 0.9462890625}, {"start": 3232.89, "end": 3233.09, "word": " انتوا", "probability": 0.7560221354166666}, {"start": 3233.09, "end": 3233.73, "word": " شايفينه", "probability": 0.91552734375}, {"start": 3233.73, "end": 3234.51, "word": " طيب", "probability": 0.83837890625}, {"start": 3234.51, "end": 3235.05, "word": " بكرا", "probability": 0.73095703125}, {"start": 3235.05, "end": 3235.23, "word": " ان", "probability": 0.68994140625}, {"start": 3235.23, "end": 3235.49, "word": " شاء", "probability": 0.961181640625}, {"start": 3235.49, "end": 3235.81, "word": " الله", "probability": 0.939453125}, {"start": 3235.81, "end": 3236.55, "word": " تعالى", "probability": 0.9391276041666666}, {"start": 3236.55, "end": 3237.65, "word": " بدنا", "probability": 0.7381591796875}, {"start": 3237.65, "end": 3238.11, "word": " نخش", "probability": 0.955078125}, {"start": 3238.11, "end": 3238.59, "word": " على", "probability": 0.8447265625}, {"start": 3238.59, "end": 3239.17, "word": " باقى", "probability": 0.888671875}, {"start": 3239.17, "end": 3239.73, "word": " الخمس", "probability": 0.9635416666666666}, {"start": 3239.73, "end": 3240.17, "word": " نسب", "probability": 0.957275390625}, {"start": 3240.17, "end": 3240.59, "word": " يبقى", "probability": 0.9610595703125}, {"start": 3240.59, "end": 3241.11, "word": " عليها", "probability": 0.30462646484375}, {"start": 3241.11, "end": 3241.23, "word": " اللي", "probability": 0.90673828125}, {"start": 3241.23, "end": 3241.63, "word": " عليهم", "probability": 0.981689453125}, {"start": 3241.63, "end": 3241.97, "word": " قبل", "probability": 0.939453125}, {"start": 3241.97, "end": 3242.13, "word": " ما", "probability": 0.89697265625}, {"start": 3242.13, "end": 3242.71, "word": " تيجي", "probability": 0.9874267578125}, {"start": 3242.71, "end": 3243.39, "word": " حتى", "probability": 0.8876953125}, {"start": 3243.39, "end": 3244.13, "word": " تستفيد", "probability": 0.9892578125}, {"start": 3244.13, "end": 3244.61, "word": " فعلا", "probability": 0.9698893229166666}, {"start": 3244.61, "end": 3245.25, "word": " لإننا", "probability": 0.5999755859375}, {"start": 3245.25, "end": 3245.85, "word": " بدنا", "probability": 0.777587890625}, {"start": 3245.85, "end": 3246.23, "word": " نعطي", "probability": 0.938232421875}, {"start": 3246.23, "end": 3246.77, "word": " أمثلة", "probability": 0.9454345703125}, {"start": 3246.77, "end": 3247.29, "word": " عليهم", "probability": 0.983642578125}, {"start": 3247.29, "end": 3248.25, "word": " وأمثلة", "probability": 0.83489990234375}, {"start": 3248.25, "end": 3248.63, "word": " زيها", "probability": 0.9684244791666666}, {"start": 3248.63, "end": 3248.75, "word": " في", "probability": 0.95849609375}, {"start": 3248.75, "end": 3249.17, "word": " الكتاب", "probability": 0.9812825520833334}, {"start": 3249.17, "end": 3249.63, "word": " غالبا", "probability": 0.92919921875}, {"start": 3249.63, "end": 3249.93, "word": " مافيش", "probability": 0.7953287760416666}, {"start": 3249.93, "end": 3250.25, "word": " زيها", "probability": 0.9690755208333334}, {"start": 3250.25, "end": 3250.35, "word": " في", "probability": 0.96728515625}, {"start": 3250.35, "end": 3250.87, "word": " الكتاب", "probability": 0.98876953125}, {"start": 3250.87, "end": 3251.05, "word": " دري", "probability": 0.46685791015625}, {"start": 3251.05, "end": 3251.57, "word": " بالك", "probability": 0.849853515625}, {"start": 3251.57, "end": 3252.43, "word": " اه", "probability": 0.656005859375}, {"start": 3252.43, "end": 3252.67, "word": " بس", "probability": 0.953369140625}, {"start": 3252.67, "end": 3253.33, "word": " كلها", "probability": 0.977294921875}, {"start": 3253.33, "end": 3253.95, "word": " أمثلة", "probability": 0.96240234375}, {"start": 3253.95, "end": 3254.69, "word": " للذكاء", "probability": 0.7852783203125}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3255.066, "duration_after_vad": 3163.107843749987}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/VHma_B9Gmf4_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/VHma_B9Gmf4_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..171ddb063487415ac3ebdfffe12bfc3cbfd84339
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/VHma_B9Gmf4_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 270, "start": 0.0, "end": 2.7, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3798828025658925, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.003993988037109375, "words": [{"start": 0.0, "end": 2.7, "word": "موسيقى", "probability": 0.73380126953125}], "temperature": 1.0}, {"id": 2, "seek": 3571, "start": 10.61, "end": 35.71, "text": "بسم الله الرحمن الرحيم موضوعنا اليوم موضوع ال connect sections اللي هي القطوع المخروطية تبقى موضوعنا اليوم موضوع القطوع المخروطية صورة أننا ل�نا مخروط بشكل هذا بدنا نعمل له مقاطع لدينا الحمد لله بدل المقطع خمسة مقاطع من القطوع المخروطية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 3714, 2407, 11242, 45367, 8315, 45595, 20498, 3714, 2407, 11242, 45367, 2423, 1745, 10863, 13672, 1829, 39896, 25062, 9566, 45367, 9673, 9778, 32887, 9566, 10632, 6055, 3555, 4587, 7578, 3714, 2407, 11242, 45367, 8315, 45595, 20498, 3714, 2407, 11242, 45367, 25062, 9566, 45367, 9673, 9778, 32887, 9566, 10632, 20328, 13063, 3660, 14739, 8315, 5296, 50272, 9261, 8315, 3714, 9778, 32887, 9566, 4724, 8592, 28820, 23758, 47525, 8315, 8717, 25957, 1211, 46740, 3714, 4587, 41193, 3615, 5296, 16254, 8315, 21542, 2304, 3215, 24976, 3224, 47525, 1211, 9673, 47432, 3615, 16490, 2304, 3794, 3660, 3714, 4587, 41193, 3615, 9154, 25062, 9566, 45367, 9673, 9778, 32887, 9566, 10632], "avg_logprob": -0.24660326553427656, "compression_ratio": 2.1487179487179486, "no_speech_prob": 0.0, "words": [{"start": 10.61, "end": 10.93, "word": "بسم", "probability": 0.834228515625}, {"start": 10.93, "end": 11.13, "word": " الله", "probability": 0.978515625}, {"start": 11.13, "end": 11.55, "word": " الرحمن", "probability": 0.9646809895833334}, {"start": 11.55, "end": 12.13, "word": " الرحيم", "probability": 0.9923502604166666}, {"start": 12.13, "end": 13.35, "word": " موضوعنا", "probability": 0.787646484375}, {"start": 13.35, "end": 13.65, "word": " اليوم", "probability": 0.981201171875}, {"start": 13.65, "end": 14.15, "word": " موضوع", "probability": 0.924072265625}, {"start": 14.15, "end": 14.29, "word": " ال", "probability": 0.8603515625}, {"start": 14.29, "end": 14.51, "word": " connect", "probability": 0.270263671875}, {"start": 14.51, "end": 15.15, "word": " sections", "probability": 0.6279296875}, {"start": 15.15, "end": 15.69, "word": " اللي", "probability": 0.807861328125}, {"start": 15.69, "end": 15.87, "word": " هي", "probability": 0.90478515625}, {"start": 15.87, "end": 16.61, "word": " القطوع", "probability": 0.9422200520833334}, {"start": 16.61, "end": 18.55, "word": " المخروطية", "probability": 0.900390625}, {"start": 18.55, "end": 19.45, "word": " تبقى", "probability": 0.78704833984375}, {"start": 19.45, "end": 19.95, "word": " موضوعنا", "probability": 0.98857421875}, {"start": 19.95, "end": 20.39, "word": " اليوم", "probability": 0.989013671875}, {"start": 20.39, "end": 21.25, "word": " موضوع", "probability": 0.9881591796875}, {"start": 21.25, "end": 22.11, "word": " القطوع", "probability": 0.9850260416666666}, {"start": 22.11, "end": 23.53, "word": " المخروطية", "probability": 0.95166015625}, {"start": 23.53, "end": 24.09, "word": " صورة", "probability": 0.6054280598958334}, {"start": 24.09, "end": 24.25, "word": " أننا", "probability": 0.36767578125}, {"start": 24.25, "end": 24.39, "word": " ل�نا", "probability": 0.2057597041130066}, {"start": 24.39, "end": 24.91, "word": " مخروط", "probability": 0.85546875}, {"start": 24.91, "end": 25.49, "word": " بشكل", "probability": 0.8108723958333334}, {"start": 25.49, "end": 25.83, "word": " هذا", "probability": 0.8408203125}, {"start": 25.83, "end": 26.81, "word": " بدنا", "probability": 0.687255859375}, {"start": 26.81, "end": 27.39, "word": " نعمل", "probability": 0.9728190104166666}, {"start": 27.39, "end": 28.07, "word": " له", "probability": 0.60400390625}, {"start": 28.07, "end": 28.85, "word": " مقاطع", "probability": 0.84326171875}, {"start": 28.85, "end": 29.53, "word": " لدينا", "probability": 0.4755859375}, {"start": 29.53, "end": 29.89, "word": " الحمد", "probability": 0.9676106770833334}, {"start": 29.89, "end": 30.13, "word": " لله", "probability": 0.93505859375}, {"start": 30.13, "end": 30.45, "word": " بدل", "probability": 0.66650390625}, {"start": 30.45, "end": 31.19, "word": " المقطع", "probability": 0.9274088541666666}, {"start": 31.19, "end": 32.25, "word": " خمسة", "probability": 0.89111328125}, {"start": 32.25, "end": 33.11, "word": " مقاطع", "probability": 0.986083984375}, {"start": 33.11, "end": 33.57, "word": " من", "probability": 0.955078125}, {"start": 33.57, "end": 34.33, "word": " القطوع", "probability": 0.978515625}, {"start": 34.33, "end": 35.71, "word": " المخروطية", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 3, "seek": 5844, "start": 36.26, "end": 58.44, "text": "انا اريك الان كيف تنشي هذه القطوة لو جيت قلت له هذا قطع مخروط وجيت قطعته بمستوى من الرأس وضليت ماشي مع المحور تبعه يبقى هيرسم لي خط من هنا وخط من الناحية الثانية يبقى معناه هذا الكلام ان اول قطع مخروط هو الخط المستقيم", "tokens": [7649, 995, 1975, 16572, 4117, 2423, 7649, 9122, 33911, 6055, 1863, 8592, 1829, 29538, 25062, 9566, 2407, 3660, 45164, 10874, 36081, 12174, 1211, 2655, 46740, 23758, 12174, 9566, 3615, 3714, 34740, 2407, 9566, 49610, 36081, 12174, 9566, 34268, 3224, 4724, 2304, 14851, 2407, 7578, 9154, 34892, 10721, 3794, 4032, 11242, 20292, 2655, 3714, 33599, 1829, 20449, 9673, 5016, 13063, 6055, 3555, 3615, 3224, 7251, 3555, 4587, 7578, 8032, 13546, 38251, 32239, 16490, 9566, 9154, 34105, 4032, 9778, 9566, 9154, 2423, 8315, 5016, 10632, 6024, 104, 7649, 10632, 7251, 3555, 4587, 7578, 20449, 8315, 3224, 23758, 2423, 28820, 10943, 16472, 1975, 12610, 12174, 9566, 3615, 3714, 34740, 2407, 9566, 31439, 33962, 9566, 9673, 14851, 4587, 32640], "avg_logprob": -0.18615301569987988, "compression_ratio": 1.8932038834951457, "no_speech_prob": 0.0, "words": [{"start": 36.26, "end": 36.58, "word": "انا", "probability": 0.28851318359375}, {"start": 36.58, "end": 36.84, "word": " اريك", "probability": 0.7366536458333334}, {"start": 36.84, "end": 37.06, "word": " الان", "probability": 0.6396484375}, {"start": 37.06, "end": 37.38, "word": " كيف", "probability": 0.9794921875}, {"start": 37.38, "end": 37.88, "word": " تنشي", "probability": 0.8409423828125}, {"start": 37.88, "end": 38.28, "word": " هذه", "probability": 0.93505859375}, {"start": 38.28, "end": 39.18, "word": " القطوة", "probability": 0.87060546875}, {"start": 39.18, "end": 39.8, "word": " لو", "probability": 0.30078125}, {"start": 39.8, "end": 40.2, "word": " جيت", "probability": 0.735107421875}, {"start": 40.2, "end": 40.58, "word": " قلت", "probability": 0.8541666666666666}, {"start": 40.58, "end": 40.8, "word": " له", "probability": 0.70849609375}, {"start": 40.8, "end": 41.28, "word": " هذا", "probability": 0.75341796875}, {"start": 41.28, "end": 41.7, "word": " قطع", "probability": 0.95068359375}, {"start": 41.7, "end": 42.34, "word": " مخروط", "probability": 0.861328125}, {"start": 42.34, "end": 43.0, "word": " وجيت", "probability": 0.89892578125}, {"start": 43.0, "end": 44.2, "word": " قطعته", "probability": 0.855224609375}, {"start": 44.2, "end": 45.1, "word": " بمستوى", "probability": 0.937890625}, {"start": 45.1, "end": 45.46, "word": " من", "probability": 0.9814453125}, {"start": 45.46, "end": 46.04, "word": " الرأس", "probability": 0.97607421875}, {"start": 46.04, "end": 46.62, "word": " وضليت", "probability": 0.7681884765625}, {"start": 46.62, "end": 47.0, "word": " ماشي", "probability": 0.90576171875}, {"start": 47.0, "end": 47.2, "word": " مع", "probability": 0.95068359375}, {"start": 47.2, "end": 47.74, "word": " المحور", "probability": 0.9402669270833334}, {"start": 47.74, "end": 48.4, "word": " تبعه", "probability": 0.88232421875}, {"start": 48.4, "end": 48.8, "word": " يبقى", "probability": 0.8773193359375}, {"start": 48.8, "end": 49.24, "word": " هيرسم", "probability": 0.7462565104166666}, {"start": 49.24, "end": 49.42, "word": " لي", "probability": 0.3623046875}, {"start": 49.42, "end": 49.9, "word": " خط", "probability": 0.964111328125}, {"start": 49.9, "end": 50.1, "word": " من", "probability": 0.98681640625}, {"start": 50.1, "end": 50.38, "word": " هنا", "probability": 0.99658203125}, {"start": 50.38, "end": 51.0, "word": " وخط", "probability": 0.82080078125}, {"start": 51.0, "end": 51.22, "word": " من", "probability": 0.98779296875}, {"start": 51.22, "end": 51.94, "word": " الناحية", "probability": 0.8765869140625}, {"start": 51.94, "end": 52.82, "word": " الثانية", "probability": 0.9266357421875}, {"start": 52.82, "end": 53.48, "word": " يبقى", "probability": 0.902587890625}, {"start": 53.48, "end": 53.86, "word": " معناه", "probability": 0.8024088541666666}, {"start": 53.86, "end": 54.08, "word": " هذا", "probability": 0.8134765625}, {"start": 54.08, "end": 54.52, "word": " الكلام", "probability": 0.9347330729166666}, {"start": 54.52, "end": 54.78, "word": " ان", "probability": 0.7724609375}, {"start": 54.78, "end": 55.38, "word": " اول", "probability": 0.861083984375}, {"start": 55.38, "end": 55.82, "word": " قطع", "probability": 0.9899088541666666}, {"start": 55.82, "end": 56.4, "word": " مخروط", "probability": 0.9609375}, {"start": 56.4, "end": 56.7, "word": " هو", "probability": 0.90966796875}, {"start": 56.7, "end": 57.42, "word": " الخط", "probability": 0.9765625}, {"start": 57.42, "end": 58.44, "word": " المستقيم", "probability": 0.9869384765625}], "temperature": 1.0}, {"id": 4, "seek": 8737, "start": 58.67, "end": 87.37, "text": "وهذا سبق دراسته في الإعدادية والثانوية وكل كلاص ايه تمام؟ يبقى هذا القطع المخروط الأول اللي هو ال straight line خط المستقيم نجي للقطع الثاني لو قطعته بمستوى عمودي على المحور يبقى المقطع عبارة عن ايه؟ دائرة يبقى ال circle كمان سبق دراستها قبل ذلك يبقى هذا القطع المخروطي الثاني", "tokens": [2407, 3224, 15730, 8608, 3555, 4587, 11778, 23557, 14851, 3224, 8978, 33688, 22488, 18513, 10632, 16070, 12984, 7649, 2407, 10632, 4032, 28820, 28242, 33546, 1975, 1829, 3224, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 23758, 25062, 9566, 3615, 9673, 9778, 32887, 9566, 16247, 12610, 13672, 1829, 31439, 2423, 2997, 1622, 16490, 9566, 9673, 14851, 4587, 32640, 8717, 7435, 1829, 24976, 47432, 3615, 6024, 104, 7649, 1829, 45164, 12174, 9566, 34268, 3224, 4724, 2304, 14851, 2407, 7578, 6225, 2304, 2407, 16254, 15844, 9673, 5016, 13063, 7251, 3555, 4587, 7578, 9673, 47432, 3615, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 3224, 22807, 11778, 16373, 25720, 7251, 3555, 4587, 7578, 2423, 6329, 9122, 2304, 7649, 8608, 3555, 4587, 11778, 23557, 14851, 11296, 12174, 36150, 29910, 23275, 7251, 3555, 4587, 7578, 23758, 25062, 9566, 3615, 9673, 9778, 32887, 9566, 1829, 6024, 104, 7649, 1829], "avg_logprob": -0.15093085825020539, "compression_ratio": 1.9715447154471544, "no_speech_prob": 0.0, "words": [{"start": 58.67, "end": 59.41, "word": "وهذا", "probability": 0.5979817708333334}, {"start": 59.41, "end": 59.87, "word": " سبق", "probability": 0.6819661458333334}, {"start": 59.87, "end": 60.67, "word": " دراسته", "probability": 0.8834228515625}, {"start": 60.67, "end": 61.11, "word": " في", "probability": 0.888671875}, {"start": 61.11, "end": 61.89, "word": " الإعدادية", "probability": 0.791015625}, {"start": 61.89, "end": 62.97, "word": " والثانوية", "probability": 0.92958984375}, {"start": 62.97, "end": 63.43, "word": " وكل", "probability": 0.72216796875}, {"start": 63.43, "end": 63.91, "word": " كلاص", "probability": 0.4501953125}, {"start": 63.91, "end": 64.53, "word": " ايه", "probability": 0.7013753255208334}, {"start": 64.53, "end": 65.29, "word": " تمام؟", "probability": 0.6453450520833334}, {"start": 65.29, "end": 65.47, "word": " يبقى", "probability": 0.94921875}, {"start": 65.47, "end": 65.69, "word": " هذا", "probability": 0.640625}, {"start": 65.69, "end": 66.03, "word": " القطع", "probability": 0.95556640625}, {"start": 66.03, "end": 66.61, "word": " المخروط", "probability": 0.897216796875}, {"start": 66.61, "end": 67.07, "word": " الأول", "probability": 0.9228515625}, {"start": 67.07, "end": 67.59, "word": " اللي", "probability": 0.5755615234375}, {"start": 67.59, "end": 67.73, "word": " هو", "probability": 0.8759765625}, {"start": 67.73, "end": 67.87, "word": " ال", "probability": 0.74267578125}, {"start": 67.87, "end": 68.47, "word": " straight", "probability": 0.568359375}, {"start": 68.47, "end": 69.49, "word": " line", "probability": 0.94921875}, {"start": 69.49, "end": 70.05, "word": " خط", "probability": 0.954345703125}, {"start": 70.05, "end": 70.79, "word": " المستقيم", "probability": 0.9677734375}, {"start": 70.79, "end": 71.87, "word": " نجي", "probability": 0.8899739583333334}, {"start": 71.87, "end": 72.47, "word": " للقطع", "probability": 0.9134114583333334}, {"start": 72.47, "end": 72.93, "word": " الثاني", "probability": 0.963134765625}, {"start": 72.93, "end": 73.19, "word": " لو", "probability": 0.73779296875}, {"start": 73.19, "end": 73.89, "word": " قطعته", "probability": 0.9454345703125}, {"start": 73.89, "end": 74.73, "word": " بمستوى", "probability": 0.92666015625}, {"start": 74.73, "end": 75.35, "word": " عمودي", "probability": 0.9906005859375}, {"start": 75.35, "end": 75.71, "word": " على", "probability": 0.89453125}, {"start": 75.71, "end": 76.45, "word": " المحور", "probability": 0.9580078125}, {"start": 76.45, "end": 76.85, "word": " يبقى", "probability": 0.971435546875}, {"start": 76.85, "end": 77.31, "word": " المقطع", "probability": 0.97412109375}, {"start": 77.31, "end": 77.57, "word": " عبارة", "probability": 0.9744873046875}, {"start": 77.57, "end": 77.79, "word": " عن", "probability": 0.9150390625}, {"start": 77.79, "end": 78.39, "word": " ايه؟", "probability": 0.72552490234375}, {"start": 78.39, "end": 79.41, "word": " دائرة", "probability": 0.98388671875}, {"start": 79.41, "end": 79.89, "word": " يبقى", "probability": 0.953369140625}, {"start": 79.89, "end": 80.05, "word": " ال", "probability": 0.8759765625}, {"start": 80.05, "end": 80.37, "word": " circle", "probability": 0.9462890625}, {"start": 80.37, "end": 80.87, "word": " كمان", "probability": 0.9754231770833334}, {"start": 80.87, "end": 81.29, "word": " سبق", "probability": 0.9484049479166666}, {"start": 81.29, "end": 82.33, "word": " دراستها", "probability": 0.9932861328125}, {"start": 82.33, "end": 82.85, "word": " قبل", "probability": 0.9912109375}, {"start": 82.85, "end": 83.37, "word": " ذلك", "probability": 0.99462890625}, {"start": 83.37, "end": 84.07, "word": " يبقى", "probability": 0.9698486328125}, {"start": 84.07, "end": 84.31, "word": " هذا", "probability": 0.9423828125}, {"start": 84.31, "end": 84.83, "word": " القطع", "probability": 0.994140625}, {"start": 84.83, "end": 86.09, "word": " المخروطي", "probability": 0.84599609375}, {"start": 86.09, "end": 87.37, "word": " الثاني", "probability": 0.93701171875}], "temperature": 1.0}, {"id": 5, "seek": 10793, "start": 87.73, "end": 107.93, "text": "بنجر قطة المخروطة الثالث لو جيت له المخروطة اللى أنا قطعته بمستوى رأسي موازي للمحور تبعه يبقى المقطع هيكون على شكل parabola نوريكي الآن كيف بيكون هذا المقطع", "tokens": [3555, 1863, 7435, 2288, 12174, 9566, 3660, 9673, 9778, 32887, 9566, 3660, 6024, 104, 6027, 12984, 45164, 10874, 36081, 46740, 9673, 9778, 32887, 9566, 3660, 13672, 7578, 41850, 12174, 9566, 34268, 3224, 4724, 2304, 14851, 2407, 7578, 12602, 10721, 3794, 1829, 3714, 2407, 31377, 1829, 5296, 19528, 5016, 13063, 6055, 3555, 3615, 3224, 7251, 3555, 4587, 7578, 9673, 47432, 3615, 39896, 30544, 15844, 13412, 28820, 45729, 4711, 8717, 13063, 1829, 4117, 1829, 6024, 48506, 9122, 33911, 4724, 1829, 30544, 23758, 9673, 47432, 3615], "avg_logprob": -0.24348959025172962, "compression_ratio": 1.6686746987951808, "no_speech_prob": 0.0, "words": [{"start": 87.73, "end": 88.39, "word": "بنجر", "probability": 0.293243408203125}, {"start": 88.39, "end": 88.81, "word": " قطة", "probability": 0.7623697916666666}, {"start": 88.81, "end": 89.65, "word": " المخروطة", "probability": 0.777001953125}, {"start": 89.65, "end": 90.39, "word": " الثالث", "probability": 0.8946533203125}, {"start": 90.39, "end": 92.05, "word": " لو", "probability": 0.401611328125}, {"start": 92.05, "end": 92.43, "word": " جيت", "probability": 0.86279296875}, {"start": 92.43, "end": 92.77, "word": " له", "probability": 0.5888671875}, {"start": 92.77, "end": 94.37, "word": " المخروطة", "probability": 0.9328125}, {"start": 94.37, "end": 94.49, "word": " اللى", "probability": 0.793212890625}, {"start": 94.49, "end": 94.63, "word": " أنا", "probability": 0.260009765625}, {"start": 94.63, "end": 95.65, "word": " قطعته", "probability": 0.9476318359375}, {"start": 95.65, "end": 96.71, "word": " بمستوى", "probability": 0.961328125}, {"start": 96.71, "end": 97.53, "word": " رأسي", "probability": 0.85992431640625}, {"start": 97.53, "end": 98.21, "word": " موازي", "probability": 0.892822265625}, {"start": 98.21, "end": 98.93, "word": " للمحور", "probability": 0.940673828125}, {"start": 98.93, "end": 99.53, "word": " تبعه", "probability": 0.94384765625}, {"start": 99.53, "end": 100.51, "word": " يبقى", "probability": 0.944580078125}, {"start": 100.51, "end": 101.23, "word": " المقطع", "probability": 0.9889322916666666}, {"start": 101.23, "end": 101.83, "word": " هيكون", "probability": 0.771484375}, {"start": 101.83, "end": 102.13, "word": " على", "probability": 0.96142578125}, {"start": 102.13, "end": 102.73, "word": " شكل", "probability": 0.976318359375}, {"start": 102.73, "end": 103.35, "word": " parabola", "probability": 0.54241943359375}, {"start": 103.35, "end": 103.97, "word": " نوريكي", "probability": 0.774658203125}, {"start": 103.97, "end": 104.43, "word": " الآن", "probability": 0.693359375}, {"start": 104.43, "end": 105.29, "word": " كيف", "probability": 0.972900390625}, {"start": 105.29, "end": 105.83, "word": " بيكون", "probability": 0.816162109375}, {"start": 105.83, "end": 106.45, "word": " هذا", "probability": 0.97607421875}, {"start": 106.45, "end": 107.93, "word": " المقطع", "probability": 0.9930013020833334}], "temperature": 1.0}, {"id": 6, "seek": 14101, "start": 117.87, "end": 141.01, "text": "يبقى لو جيت بطعت القطع المخروض بدي اعتبر ان الخط الأزرق اللي انا رسمه هذا هو قطع من فوق الى اعلى يبقى طلع شكله كيه بدي يكون خط الأزرق المنحني اللي عندنا هنا يبقى هذا على شكل مين؟ Parabola يبقى القطع المخروض الثالث هو ال Parabola موضوع دراستنا الآن", "tokens": [1829, 3555, 4587, 7578, 45164, 10874, 36081, 4724, 9566, 34268, 25062, 9566, 3615, 9673, 9778, 32887, 11242, 4724, 16254, 1975, 34268, 26890, 16472, 33962, 9566, 16247, 11622, 2288, 4587, 13672, 1829, 1975, 8315, 12602, 38251, 3224, 23758, 31439, 12174, 9566, 3615, 9154, 6156, 30543, 2423, 7578, 1975, 3615, 23942, 7251, 3555, 4587, 7578, 23032, 1211, 3615, 13412, 28820, 3224, 9122, 1829, 3224, 4724, 16254, 7251, 30544, 16490, 9566, 16247, 11622, 2288, 4587, 9673, 1863, 5016, 22653, 13672, 1829, 43242, 8315, 34105, 7251, 3555, 4587, 7578, 23758, 15844, 13412, 28820, 3714, 9957, 22807, 3457, 455, 4711, 7251, 3555, 4587, 7578, 25062, 9566, 3615, 9673, 9778, 32887, 11242, 6024, 104, 6027, 12984, 31439, 2423, 3457, 455, 4711, 3714, 2407, 11242, 45367, 11778, 23557, 14851, 8315, 6024, 48506], "avg_logprob": -0.229786711907576, "compression_ratio": 1.9815668202764978, "no_speech_prob": 0.0, "words": [{"start": 117.87, "end": 118.33, "word": "يبقى", "probability": 0.62188720703125}, {"start": 118.33, "end": 118.53, "word": " لو", "probability": 0.80517578125}, {"start": 118.53, "end": 118.99, "word": " جيت", "probability": 0.87548828125}, {"start": 118.99, "end": 119.91, "word": " بطعت", "probability": 0.5977376302083334}, {"start": 119.91, "end": 120.61, "word": " القطع", "probability": 0.7840169270833334}, {"start": 120.61, "end": 121.13, "word": " المخروض", "probability": 0.817138671875}, {"start": 121.13, "end": 121.39, "word": " بدي", "probability": 0.41650390625}, {"start": 121.39, "end": 121.79, "word": " اعتبر", "probability": 0.7999674479166666}, {"start": 121.79, "end": 121.95, "word": " ان", "probability": 0.80029296875}, {"start": 121.95, "end": 122.45, "word": " الخط", "probability": 0.87060546875}, {"start": 122.45, "end": 123.03, "word": " الأزرق", "probability": 0.9034423828125}, {"start": 123.03, "end": 123.29, "word": " اللي", "probability": 0.79345703125}, {"start": 123.29, "end": 123.55, "word": " انا", "probability": 0.80908203125}, {"start": 123.55, "end": 124.09, "word": " رسمه", "probability": 0.8160807291666666}, {"start": 124.09, "end": 124.43, "word": " هذا", "probability": 0.708984375}, {"start": 124.43, "end": 124.99, "word": " هو", "probability": 0.9423828125}, {"start": 124.99, "end": 125.47, "word": " قطع", "probability": 0.9606119791666666}, {"start": 125.47, "end": 125.67, "word": " من", "probability": 0.99365234375}, {"start": 125.67, "end": 126.17, "word": " فوق", "probability": 0.89892578125}, {"start": 126.17, "end": 126.63, "word": " الى", "probability": 0.79345703125}, {"start": 126.63, "end": 126.99, "word": " اعلى", "probability": 0.8203125}, {"start": 126.99, "end": 128.21, "word": " يبقى", "probability": 0.916259765625}, {"start": 128.21, "end": 128.95, "word": " طلع", "probability": 0.79150390625}, {"start": 128.95, "end": 129.45, "word": " شكله", "probability": 0.95556640625}, {"start": 129.45, "end": 129.65, "word": " كيه", "probability": 0.5904134114583334}, {"start": 129.65, "end": 129.85, "word": " بدي", "probability": 0.7373046875}, {"start": 129.85, "end": 130.27, "word": " يكون", "probability": 0.858642578125}, {"start": 130.27, "end": 130.99, "word": " خط", "probability": 0.77978515625}, {"start": 130.99, "end": 131.55, "word": " الأزرق", "probability": 0.97900390625}, {"start": 131.55, "end": 132.31, "word": " المنحني", "probability": 0.9761962890625}, {"start": 132.31, "end": 132.51, "word": " اللي", "probability": 0.947998046875}, {"start": 132.51, "end": 132.89, "word": " عندنا", "probability": 0.902587890625}, {"start": 132.89, "end": 133.07, "word": " هنا", "probability": 0.287841796875}, {"start": 133.07, "end": 133.67, "word": " يبقى", "probability": 0.9527587890625}, {"start": 133.67, "end": 133.83, "word": " هذا", "probability": 0.84814453125}, {"start": 133.83, "end": 134.01, "word": " على", "probability": 0.400390625}, {"start": 134.01, "end": 134.37, "word": " شكل", "probability": 0.975341796875}, {"start": 134.37, "end": 135.01, "word": " مين؟", "probability": 0.65576171875}, {"start": 135.01, "end": 136.03, "word": " Parabola", "probability": 0.551513671875}, {"start": 136.03, "end": 136.33, "word": " يبقى", "probability": 0.926025390625}, {"start": 136.33, "end": 136.75, "word": " القطع", "probability": 0.9881184895833334}, {"start": 136.75, "end": 137.29, "word": " المخروض", "probability": 0.9130859375}, {"start": 137.29, "end": 137.83, "word": " الثالث", "probability": 0.953125}, {"start": 137.83, "end": 138.19, "word": " هو", "probability": 0.94140625}, {"start": 138.19, "end": 138.79, "word": " ال", "probability": 0.81494140625}, {"start": 138.79, "end": 139.27, "word": " Parabola", "probability": 0.7250162760416666}, {"start": 139.27, "end": 139.71, "word": " موضوع", "probability": 0.9005126953125}, {"start": 139.71, "end": 140.51, "word": " دراستنا", "probability": 0.959716796875}, {"start": 140.51, "end": 141.01, "word": " الآن", "probability": 0.80126953125}], "temperature": 1.0}, {"id": 7, "seek": 16501, "start": 141.53, "end": 165.01, "text": "لو جيت قطعته بمستوى مائل على المحور يبقى المقطع عبارة عناش؟ شكل بيضاوي الشكل البيضاوي هذا اللي بنسميه من؟ القطع الناقص أو ال ellipse تمام لو جيت تخيلت أخدت خدت الورقة اللي عندك هاني ماشي لو جيت هات هشوف", "tokens": [1211, 2407, 10874, 36081, 12174, 9566, 34268, 3224, 4724, 2304, 14851, 2407, 7578, 3714, 16373, 1211, 15844, 9673, 5016, 13063, 7251, 3555, 4587, 7578, 9673, 47432, 3615, 6225, 3555, 9640, 3660, 18871, 33599, 22807, 13412, 28820, 4724, 1829, 11242, 995, 45865, 25124, 28820, 2423, 21292, 11242, 995, 45865, 23758, 13672, 1829, 44945, 38251, 1829, 3224, 9154, 22807, 25062, 9566, 3615, 2423, 8315, 4587, 9381, 34051, 2423, 8284, 48041, 46811, 10943, 45164, 10874, 36081, 6055, 9778, 26895, 2655, 5551, 9778, 3215, 2655, 16490, 3215, 2655, 2423, 13063, 28671, 13672, 1829, 43242, 4117, 8032, 7649, 1829, 3714, 33599, 1829, 45164, 10874, 36081, 8032, 9307, 8032, 8592, 38688], "avg_logprob": -0.17482311939293482, "compression_ratio": 1.795, "no_speech_prob": 0.0, "words": [{"start": 141.53, "end": 142.09, "word": "لو", "probability": 0.876220703125}, {"start": 142.09, "end": 142.49, "word": " جيت", "probability": 0.975341796875}, {"start": 142.49, "end": 143.59, "word": " قطعته", "probability": 0.91552734375}, {"start": 143.59, "end": 145.13, "word": " بمستوى", "probability": 0.96630859375}, {"start": 145.13, "end": 146.17, "word": " مائل", "probability": 0.9475911458333334}, {"start": 146.17, "end": 146.51, "word": " على", "probability": 0.892578125}, {"start": 146.51, "end": 147.39, "word": " المحور", "probability": 0.9853515625}, {"start": 147.39, "end": 148.49, "word": " يبقى", "probability": 0.8853759765625}, {"start": 148.49, "end": 148.91, "word": " المقطع", "probability": 0.96484375}, {"start": 148.91, "end": 149.21, "word": " عبارة", "probability": 0.8660888671875}, {"start": 149.21, "end": 149.99, "word": " عناش؟", "probability": 0.7657063802083334}, {"start": 149.99, "end": 151.09, "word": " شكل", "probability": 0.9072265625}, {"start": 151.09, "end": 151.85, "word": " بيضاوي", "probability": 0.88662109375}, {"start": 151.85, "end": 152.25, "word": " الشكل", "probability": 0.6812744140625}, {"start": 152.25, "end": 152.65, "word": " البيضاوي", "probability": 0.91494140625}, {"start": 152.65, "end": 152.85, "word": " هذا", "probability": 0.417236328125}, {"start": 152.85, "end": 152.95, "word": " اللي", "probability": 0.982421875}, {"start": 152.95, "end": 153.67, "word": " بنسميه", "probability": 0.915771484375}, {"start": 153.67, "end": 154.09, "word": " من؟", "probability": 0.69873046875}, {"start": 154.09, "end": 155.07, "word": " القطع", "probability": 0.91015625}, {"start": 155.07, "end": 155.91, "word": " الناقص", "probability": 0.858154296875}, {"start": 155.91, "end": 156.29, "word": " أو", "probability": 0.7900390625}, {"start": 156.29, "end": 156.69, "word": " ال", "probability": 0.98486328125}, {"start": 156.69, "end": 157.35, "word": " ellipse", "probability": 0.75390625}, {"start": 157.35, "end": 158.15, "word": " تمام", "probability": 0.6614990234375}, {"start": 158.15, "end": 159.09, "word": " لو", "probability": 0.435791015625}, {"start": 159.09, "end": 159.43, "word": " جيت", "probability": 0.9912109375}, {"start": 159.43, "end": 160.37, "word": " تخيلت", "probability": 0.931884765625}, {"start": 160.37, "end": 160.81, "word": " أخدت", "probability": 0.864501953125}, {"start": 160.81, "end": 161.13, "word": " خدت", "probability": 0.7686360677083334}, {"start": 161.13, "end": 161.45, "word": " الورقة", "probability": 0.92919921875}, {"start": 161.45, "end": 161.61, "word": " اللي", "probability": 0.97216796875}, {"start": 161.61, "end": 161.99, "word": " عندك", "probability": 0.95703125}, {"start": 161.99, "end": 162.33, "word": " هاني", "probability": 0.4567464192708333}, {"start": 162.33, "end": 162.91, "word": " ماشي", "probability": 0.9549153645833334}, {"start": 162.91, "end": 163.67, "word": " لو", "probability": 0.74951171875}, {"start": 163.67, "end": 164.03, "word": " جيت", "probability": 0.993896484375}, {"start": 164.03, "end": 164.41, "word": " هات", "probability": 0.7919921875}, {"start": 164.41, "end": 165.01, "word": " هشوف", "probability": 0.8870442708333334}], "temperature": 1.0}, {"id": 8, "seek": 18549, "start": 166.37, "end": 185.49, "text": "لو جيت تخيلت إن هذا القطع المخروط التاني والاتنين متعدين في الرأس بهذا الشكل تمام؟ وقطعتهم من أعلى إلى أسفل، هتظهر Parabola إلى أعلى و Parabola إلى أسفل، يبقى هذا الاتنين مع بعضهم يسميهم إيه؟", "tokens": [1211, 2407, 10874, 36081, 6055, 9778, 26895, 2655, 36145, 23758, 25062, 9566, 3615, 9673, 34740, 2407, 9566, 16712, 7649, 1829, 16070, 9307, 1863, 9957, 44650, 22488, 9957, 8978, 34892, 10721, 3794, 39627, 15730, 25124, 28820, 46811, 10943, 22807, 4032, 47432, 34268, 16095, 9154, 5551, 3615, 23942, 30731, 5551, 3794, 5172, 1211, 12399, 8032, 2655, 19913, 3224, 2288, 3457, 455, 4711, 30731, 5551, 3615, 23942, 4032, 3457, 455, 4711, 30731, 5551, 3794, 5172, 1211, 12399, 7251, 3555, 4587, 7578, 23758, 2423, 9307, 1863, 9957, 20449, 45030, 11242, 16095, 7251, 38251, 1829, 16095, 11933, 1829, 3224, 22807], "avg_logprob": -0.21305339255680641, "compression_ratio": 1.7754010695187166, "no_speech_prob": 0.0, "words": [{"start": 166.37, "end": 166.77, "word": "لو", "probability": 0.716552734375}, {"start": 166.77, "end": 167.11, "word": " جيت", "probability": 0.83984375}, {"start": 167.11, "end": 167.81, "word": " تخيلت", "probability": 0.7890625}, {"start": 167.81, "end": 168.03, "word": " إن", "probability": 0.41748046875}, {"start": 168.03, "end": 168.41, "word": " هذا", "probability": 0.91357421875}, {"start": 168.41, "end": 168.91, "word": " القطع", "probability": 0.94873046875}, {"start": 168.91, "end": 169.65, "word": " المخروط", "probability": 0.74853515625}, {"start": 169.65, "end": 170.29, "word": " التاني", "probability": 0.91064453125}, {"start": 170.29, "end": 171.53, "word": " والاتنين", "probability": 0.800048828125}, {"start": 171.53, "end": 172.63, "word": " متعدين", "probability": 0.7626139322916666}, {"start": 172.63, "end": 172.91, "word": " في", "probability": 0.7822265625}, {"start": 172.91, "end": 173.21, "word": " الرأس", "probability": 0.9549153645833334}, {"start": 173.21, "end": 173.61, "word": " بهذا", "probability": 0.939208984375}, {"start": 173.61, "end": 174.37, "word": " الشكل", "probability": 0.991455078125}, {"start": 174.37, "end": 175.75, "word": " تمام؟", "probability": 0.76123046875}, {"start": 175.75, "end": 176.99, "word": " وقطعتهم", "probability": 0.8984375}, {"start": 176.99, "end": 177.27, "word": " من", "probability": 0.994140625}, {"start": 177.27, "end": 177.71, "word": " أعلى", "probability": 0.9723307291666666}, {"start": 177.71, "end": 177.97, "word": " إلى", "probability": 0.9619140625}, {"start": 177.97, "end": 178.51, "word": " أسفل،", "probability": 0.92578125}, {"start": 178.51, "end": 179.11, "word": " هتظهر", "probability": 0.88984375}, {"start": 179.11, "end": 179.81, "word": " Parabola", "probability": 0.591552734375}, {"start": 179.81, "end": 180.13, "word": " إلى", "probability": 0.9541015625}, {"start": 180.13, "end": 180.45, "word": " أعلى", "probability": 0.9864908854166666}, {"start": 180.45, "end": 180.59, "word": " و", "probability": 0.87451171875}, {"start": 180.59, "end": 181.07, "word": " Parabola", "probability": 0.81298828125}, {"start": 181.07, "end": 181.39, "word": " إلى", "probability": 0.332275390625}, {"start": 181.39, "end": 183.11, "word": " أسفل،", "probability": 0.937109375}, {"start": 183.11, "end": 183.49, "word": " يبقى", "probability": 0.8028564453125}, {"start": 183.49, "end": 183.77, "word": " هذا", "probability": 0.52001953125}, {"start": 183.77, "end": 184.11, "word": " الاتنين", "probability": 0.82232666015625}, {"start": 184.11, "end": 184.23, "word": " مع", "probability": 0.96435546875}, {"start": 184.23, "end": 184.59, "word": " بعضهم", "probability": 0.986328125}, {"start": 184.59, "end": 185.01, "word": " يسميهم", "probability": 0.76025390625}, {"start": 185.01, "end": 185.49, "word": " إيه؟", "probability": 0.8018798828125}], "temperature": 1.0}, {"id": 9, "seek": 20044, "start": 185.66, "end": 200.44, "text": "هذه البرابولة يبقى هذا القطع المخروط الخامس يبقى line circle parabola ellipse هذه برابولة هذا موضوع درستنا طبعا سابقا في كل كنصية درستنا", "tokens": [3224, 24192, 2423, 26890, 16758, 12610, 3660, 7251, 3555, 4587, 7578, 23758, 25062, 9566, 3615, 9673, 9778, 32887, 9566, 33962, 10943, 3794, 7251, 3555, 4587, 7578, 1622, 6329, 45729, 4711, 8284, 48041, 29538, 4724, 2288, 16758, 12610, 3660, 23758, 3714, 2407, 11242, 45367, 11778, 2288, 14851, 8315, 23032, 3555, 3615, 995, 8608, 16758, 4587, 995, 8978, 28242, 9122, 1863, 9381, 10632, 11778, 2288, 14851, 8315], "avg_logprob": -0.25000001444961084, "compression_ratio": 1.5100671140939597, "no_speech_prob": 0.0, "words": [{"start": 185.66, "end": 186.28, "word": "هذه", "probability": 0.728759765625}, {"start": 186.28, "end": 186.88, "word": " البرابولة", "probability": 0.620751953125}, {"start": 186.88, "end": 187.18, "word": " يبقى", "probability": 0.77520751953125}, {"start": 187.18, "end": 187.34, "word": " هذا", "probability": 0.1632080078125}, {"start": 187.34, "end": 187.78, "word": " القطع", "probability": 0.9659830729166666}, {"start": 187.78, "end": 188.54, "word": " المخروط", "probability": 0.8568115234375}, {"start": 188.54, "end": 189.86, "word": " الخامس", "probability": 0.9332682291666666}, {"start": 189.86, "end": 190.68, "word": " يبقى", "probability": 0.92236328125}, {"start": 190.68, "end": 191.02, "word": " line", "probability": 0.79833984375}, {"start": 191.02, "end": 192.06, "word": " circle", "probability": 0.1854248046875}, {"start": 192.06, "end": 193.1, "word": " parabola", "probability": 0.81201171875}, {"start": 193.1, "end": 193.76, "word": " ellipse", "probability": 0.974609375}, {"start": 193.76, "end": 194.18, "word": " هذه", "probability": 0.437255859375}, {"start": 194.18, "end": 194.88, "word": " برابولة", "probability": 0.86650390625}, {"start": 194.88, "end": 195.44, "word": " هذا", "probability": 0.697265625}, {"start": 195.44, "end": 196.22, "word": " موضوع", "probability": 0.9578857421875}, {"start": 196.22, "end": 197.16, "word": " درستنا", "probability": 0.923095703125}, {"start": 197.16, "end": 197.96, "word": " طبعا", "probability": 0.93603515625}, {"start": 197.96, "end": 198.56, "word": " سابقا", "probability": 0.9852294921875}, {"start": 198.56, "end": 198.7, "word": " في", "probability": 0.95751953125}, {"start": 198.7, "end": 198.94, "word": " كل", "probability": 0.89306640625}, {"start": 198.94, "end": 199.54, "word": " كنصية", "probability": 0.582305908203125}, {"start": 199.54, "end": 200.44, "word": " درستنا", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 10, "seek": 22054, "start": 202.04, "end": 220.54, "text": "قطعين و نص طبعا كيف قطعين و نص؟ خط مستقيل ديرها هي اتنين الفرابولة درسنا بس فيه نقطتين اللي هو ال vertex و ال axis طبعا هاي اللي كنت بتكلم فيه سابقا يبقى ال vertex و ال axis", "tokens": [47432, 3615, 9957, 4032, 8717, 9381, 23032, 3555, 3615, 995, 9122, 33911, 12174, 9566, 3615, 9957, 4032, 8717, 9381, 22807, 16490, 9566, 3714, 14851, 4587, 26895, 11778, 13546, 11296, 39896, 1975, 2655, 1863, 9957, 27188, 2288, 16758, 12610, 3660, 11778, 2288, 3794, 8315, 4724, 3794, 8978, 3224, 8717, 47432, 2655, 9957, 13672, 1829, 31439, 2423, 28162, 4032, 2423, 10298, 23032, 3555, 3615, 995, 8032, 47302, 13672, 1829, 9122, 29399, 39894, 4117, 19528, 8978, 3224, 8608, 16758, 4587, 995, 7251, 3555, 4587, 7578, 2423, 28162, 4032, 2423, 10298], "avg_logprob": -0.23188921047205274, "compression_ratio": 1.7515151515151515, "no_speech_prob": 0.0, "words": [{"start": 202.04, "end": 202.8, "word": "قطعين", "probability": 0.8992513020833334}, {"start": 202.8, "end": 202.96, "word": " و", "probability": 0.9921875}, {"start": 202.96, "end": 203.44, "word": " نص", "probability": 0.93603515625}, {"start": 203.44, "end": 204.66, "word": " طبعا", "probability": 0.674896240234375}, {"start": 204.66, "end": 205.02, "word": " كيف", "probability": 0.7017822265625}, {"start": 205.02, "end": 205.38, "word": " قطعين", "probability": 0.9085693359375}, {"start": 205.38, "end": 205.5, "word": " و", "probability": 0.99658203125}, {"start": 205.5, "end": 205.86, "word": " نص؟", "probability": 0.8159993489583334}, {"start": 205.86, "end": 206.16, "word": " خط", "probability": 0.93994140625}, {"start": 206.16, "end": 206.68, "word": " مستقيل", "probability": 0.72186279296875}, {"start": 206.68, "end": 207.1, "word": " ديرها", "probability": 0.4658203125}, {"start": 207.1, "end": 207.26, "word": " هي", "probability": 0.6455078125}, {"start": 207.26, "end": 207.72, "word": " اتنين", "probability": 0.8419189453125}, {"start": 207.72, "end": 209.22, "word": " الفرابولة", "probability": 0.67216796875}, {"start": 209.22, "end": 209.78, "word": " درسنا", "probability": 0.8095703125}, {"start": 209.78, "end": 210.08, "word": " بس", "probability": 0.9736328125}, {"start": 210.08, "end": 210.38, "word": " فيه", "probability": 0.6895751953125}, {"start": 210.38, "end": 211.2, "word": " نقطتين", "probability": 0.9599609375}, {"start": 211.2, "end": 211.58, "word": " اللي", "probability": 0.89111328125}, {"start": 211.58, "end": 211.8, "word": " هو", "probability": 0.96435546875}, {"start": 211.8, "end": 212.12, "word": " ال", "probability": 0.9736328125}, {"start": 212.12, "end": 212.88, "word": " vertex", "probability": 0.61669921875}, {"start": 212.88, "end": 213.4, "word": " و", "probability": 0.6494140625}, {"start": 213.4, "end": 213.56, "word": " ال", "probability": 0.98046875}, {"start": 213.56, "end": 214.28, "word": " axis", "probability": 0.81396484375}, {"start": 214.28, "end": 215.16, "word": " طبعا", "probability": 0.88525390625}, {"start": 215.16, "end": 215.64, "word": " هاي", "probability": 0.4871826171875}, {"start": 215.64, "end": 215.78, "word": " اللي", "probability": 0.982177734375}, {"start": 215.78, "end": 215.96, "word": " كنت", "probability": 0.820556640625}, {"start": 215.96, "end": 216.54, "word": " بتكلم", "probability": 0.8396809895833334}, {"start": 216.54, "end": 217.12, "word": " فيه", "probability": 0.975830078125}, {"start": 217.12, "end": 218.24, "word": " سابقا", "probability": 0.993408203125}, {"start": 218.24, "end": 219.04, "word": " يبقى", "probability": 0.887939453125}, {"start": 219.04, "end": 219.2, "word": " ال", "probability": 0.9892578125}, {"start": 219.2, "end": 219.72, "word": " vertex", "probability": 0.88818359375}, {"start": 219.72, "end": 219.98, "word": " و", "probability": 0.9599609375}, {"start": 219.98, "end": 220.1, "word": " ال", "probability": 0.97998046875}, {"start": 220.1, "end": 220.54, "word": " axis", "probability": 0.88525390625}], "temperature": 1.0}, {"id": 11, "seek": 24383, "start": 220.93, "end": 243.83, "text": "لكن الان في انا كمان حاجتين اشداد، حاجة اسمها ال focus والتانية directrix يبقى هاي كمان النص التانية تبع من ال parabola يبقى ال parabola هتعرف عليه باربع شغلات، vertex, axis, focus, directrix طب نجي نشوف شو المعلومات هذه اللي بنحكيها", "tokens": [1211, 19452, 2423, 7649, 8978, 1975, 8315, 9122, 2304, 7649, 11331, 26108, 2655, 9957, 1975, 8592, 3215, 18513, 12399, 11331, 26108, 3660, 24525, 2304, 11296, 2423, 1879, 16070, 2655, 7649, 10632, 2047, 6579, 7251, 3555, 4587, 7578, 8032, 47302, 9122, 2304, 7649, 28239, 9381, 16712, 7649, 10632, 6055, 3555, 3615, 9154, 2423, 45729, 4711, 7251, 3555, 4587, 7578, 2423, 45729, 4711, 8032, 2655, 3615, 28480, 47356, 4724, 9640, 3555, 3615, 13412, 17082, 1211, 9307, 12399, 28162, 11, 10298, 11, 1879, 11, 2047, 6579, 23032, 3555, 8717, 7435, 1829, 8717, 8592, 38688, 13412, 2407, 9673, 30241, 20498, 9307, 29538, 13672, 1829, 44945, 5016, 4117, 1829, 11296], "avg_logprob": -0.2451356198146658, "compression_ratio": 1.6926605504587156, "no_speech_prob": 0.0, "words": [{"start": 220.93, "end": 221.41, "word": "لكن", "probability": 0.7958984375}, {"start": 221.41, "end": 221.71, "word": " الان", "probability": 0.552734375}, {"start": 221.71, "end": 221.89, "word": " في", "probability": 0.41259765625}, {"start": 221.89, "end": 222.17, "word": " انا", "probability": 0.6937255859375}, {"start": 222.17, "end": 222.59, "word": " كمان", "probability": 0.8037923177083334}, {"start": 222.59, "end": 223.15, "word": " حاجتين", "probability": 0.9560546875}, {"start": 223.15, "end": 224.03, "word": " اشداد،", "probability": 0.69677734375}, {"start": 224.03, "end": 224.47, "word": " حاجة", "probability": 0.96240234375}, {"start": 224.47, "end": 224.97, "word": " اسمها", "probability": 0.7708333333333334}, {"start": 224.97, "end": 225.09, "word": " ال", "probability": 0.88671875}, {"start": 225.09, "end": 225.55, "word": " focus", "probability": 0.86083984375}, {"start": 225.55, "end": 226.55, "word": " والتانية", "probability": 0.919677734375}, {"start": 226.55, "end": 228.19, "word": " directrix", "probability": 0.5111083984375}, {"start": 228.19, "end": 229.79, "word": " يبقى", "probability": 0.79962158203125}, {"start": 229.79, "end": 230.03, "word": " هاي", "probability": 0.5810546875}, {"start": 230.03, "end": 230.61, "word": " كمان", "probability": 0.98095703125}, {"start": 230.61, "end": 231.31, "word": " النص", "probability": 0.6864013671875}, {"start": 231.31, "end": 231.85, "word": " التانية", "probability": 0.8790690104166666}, {"start": 231.85, "end": 232.15, "word": " تبع", "probability": 0.8211263020833334}, {"start": 232.15, "end": 232.45, "word": " من", "probability": 0.69677734375}, {"start": 232.45, "end": 232.81, "word": " ال", "probability": 0.77978515625}, {"start": 232.81, "end": 233.31, "word": " parabola", "probability": 0.843994140625}, {"start": 233.31, "end": 233.99, "word": " يبقى", "probability": 0.9339599609375}, {"start": 233.99, "end": 234.09, "word": " ال", "probability": 0.9384765625}, {"start": 234.09, "end": 234.47, "word": " parabola", "probability": 0.97900390625}, {"start": 234.47, "end": 235.09, "word": " هتعرف", "probability": 0.9549560546875}, {"start": 235.09, "end": 235.49, "word": " عليه", "probability": 0.9814453125}, {"start": 235.49, "end": 236.15, "word": " باربع", "probability": 0.814697265625}, {"start": 236.15, "end": 237.33, "word": " شغلات،", "probability": 0.847021484375}, {"start": 237.33, "end": 238.11, "word": " vertex,", "probability": 0.74658203125}, {"start": 238.45, "end": 238.91, "word": " axis,", "probability": 0.927734375}, {"start": 239.25, "end": 239.87, "word": " focus,", "probability": 0.98193359375}, {"start": 240.17, "end": 240.95, "word": " directrix", "probability": 0.882080078125}, {"start": 240.95, "end": 241.51, "word": " طب", "probability": 0.778076171875}, {"start": 241.51, "end": 241.73, "word": " نجي", "probability": 0.6868489583333334}, {"start": 241.73, "end": 242.05, "word": " نشوف", "probability": 0.98779296875}, {"start": 242.05, "end": 242.25, "word": " شو", "probability": 0.970703125}, {"start": 242.25, "end": 242.91, "word": " المعلومات", "probability": 0.9754638671875}, {"start": 242.91, "end": 243.11, "word": " هذه", "probability": 0.51318359375}, {"start": 243.11, "end": 243.25, "word": " اللي", "probability": 0.951904296875}, {"start": 243.25, "end": 243.83, "word": " بنحكيها", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 12, "seek": 26876, "start": 245.24, "end": 268.76, "text": "بالنسبة للبرابولة سابقة دراسته كمان رسموا كده كتير في كل قلصية وفي الثانوية بنعيده مرة ثانية وبنقول نفترض اني أخدت المحاور وكان هذا محور X وهذا محور Y وهذه نقطة الأصل روحنا رسمنا البرابولة هذه فكانت البرابولة على الشكل التالي", "tokens": [3555, 6027, 1863, 35457, 3660, 24976, 26890, 16758, 12610, 3660, 8608, 16758, 28671, 11778, 23557, 3794, 47395, 9122, 2304, 7649, 12602, 38251, 14407, 9122, 3215, 3224, 9122, 2655, 13546, 8978, 28242, 12174, 1211, 9381, 10632, 4032, 41185, 6024, 104, 7649, 2407, 10632, 44945, 3615, 25708, 3224, 3714, 25720, 38637, 7649, 10632, 46599, 1863, 39648, 8717, 5172, 2655, 43042, 16472, 1829, 5551, 9778, 3215, 2655, 9673, 5016, 995, 13063, 4032, 41361, 23758, 3714, 5016, 13063, 1783, 4032, 3224, 15730, 3714, 5016, 13063, 398, 37037, 24192, 8717, 47432, 3660, 16247, 36520, 12602, 2407, 5016, 8315, 12602, 38251, 8315, 2423, 26890, 16758, 12610, 3660, 29538, 6156, 41361, 2655, 2423, 26890, 16758, 12610, 3660, 15844, 25124, 28820, 16712, 6027, 1829], "avg_logprob": -0.1765491509030008, "compression_ratio": 1.9951219512195122, "no_speech_prob": 0.0, "words": [{"start": 245.24, "end": 245.86, "word": "بالنسبة", "probability": 0.9525390625}, {"start": 245.86, "end": 246.58, "word": " للبرابولة", "probability": 0.62216796875}, {"start": 246.58, "end": 247.06, "word": " سابقة", "probability": 0.63134765625}, {"start": 247.06, "end": 247.68, "word": " دراسته", "probability": 0.8577880859375}, {"start": 247.68, "end": 248.22, "word": " كمان", "probability": 0.9158528645833334}, {"start": 248.22, "end": 248.94, "word": " رسموا", "probability": 0.7067057291666666}, {"start": 248.94, "end": 249.32, "word": " كده", "probability": 0.8553059895833334}, {"start": 249.32, "end": 249.8, "word": " كتير", "probability": 0.9736328125}, {"start": 249.8, "end": 250.0, "word": " في", "probability": 0.87255859375}, {"start": 250.0, "end": 250.24, "word": " كل", "probability": 0.97216796875}, {"start": 250.24, "end": 250.8, "word": " قلصية", "probability": 0.66815185546875}, {"start": 250.8, "end": 250.96, "word": " وفي", "probability": 0.705322265625}, {"start": 250.96, "end": 251.6, "word": " الثانوية", "probability": 0.93359375}, {"start": 251.6, "end": 252.8, "word": " بنعيده", "probability": 0.8704833984375}, {"start": 252.8, "end": 253.24, "word": " مرة", "probability": 0.910400390625}, {"start": 253.24, "end": 253.94, "word": " ثانية", "probability": 0.9910481770833334}, {"start": 253.94, "end": 254.52, "word": " وبنقول", "probability": 0.7640787760416666}, {"start": 254.52, "end": 255.26, "word": " نفترض", "probability": 0.9019775390625}, {"start": 255.26, "end": 256.04, "word": " اني", "probability": 0.5145263671875}, {"start": 256.04, "end": 256.5, "word": " أخدت", "probability": 0.9521484375}, {"start": 256.5, "end": 257.1, "word": " المحاور", "probability": 0.8707275390625}, {"start": 257.1, "end": 257.48, "word": " وكان", "probability": 0.69384765625}, {"start": 257.48, "end": 257.8, "word": " هذا", "probability": 0.9365234375}, {"start": 257.8, "end": 258.38, "word": " محور", "probability": 0.9873046875}, {"start": 258.38, "end": 258.8, "word": " X", "probability": 0.787109375}, {"start": 258.8, "end": 259.66, "word": " وهذا", "probability": 0.6976725260416666}, {"start": 259.66, "end": 260.2, "word": " محور", "probability": 0.9903971354166666}, {"start": 260.2, "end": 260.48, "word": " Y", "probability": 0.9873046875}, {"start": 260.48, "end": 260.92, "word": " وهذه", "probability": 0.64208984375}, {"start": 260.92, "end": 261.6, "word": " نقطة", "probability": 0.9864908854166666}, {"start": 261.6, "end": 262.34, "word": " الأصل", "probability": 0.891845703125}, {"start": 262.34, "end": 263.56, "word": " روحنا", "probability": 0.8492431640625}, {"start": 263.56, "end": 264.24, "word": " رسمنا", "probability": 0.9532877604166666}, {"start": 264.24, "end": 265.14, "word": " البرابولة", "probability": 0.97861328125}, {"start": 265.14, "end": 265.42, "word": " هذه", "probability": 0.8173828125}, {"start": 265.42, "end": 266.12, "word": " فكانت", "probability": 0.9737955729166666}, {"start": 266.12, "end": 266.9, "word": " البرابولة", "probability": 0.97744140625}, {"start": 266.9, "end": 267.12, "word": " على", "probability": 0.912109375}, {"start": 267.12, "end": 267.8, "word": " الشكل", "probability": 0.954345703125}, {"start": 267.8, "end": 268.76, "word": " التالي", "probability": 0.9886067708333334}], "temperature": 1.0}, {"id": 13, "seek": 28789, "start": 270.61, "end": 287.89, "text": "بهذا الشكل يبقى هذا الشكل من ال parabola اللى عندنا يبقى ماس نقطة الاصل هنا وجه طالع تاني حاجة ماذا ذكر ايش كنا نكتب المعادلة؟", "tokens": [3555, 3224, 15730, 25124, 28820, 7251, 3555, 4587, 7578, 23758, 25124, 28820, 9154, 2423, 45729, 4711, 13672, 7578, 43242, 8315, 7251, 3555, 4587, 7578, 3714, 32277, 8717, 47432, 3660, 2423, 33546, 1211, 34105, 49610, 3224, 23032, 6027, 3615, 6055, 7649, 1829, 11331, 26108, 3660, 3714, 45636, 995, 29910, 37983, 1975, 1829, 8592, 9122, 8315, 8717, 4117, 2655, 3555, 9673, 3615, 18513, 37977, 22807], "avg_logprob": -0.2509765732102096, "compression_ratio": 1.5277777777777777, "no_speech_prob": 0.0, "words": [{"start": 270.61, "end": 271.15, "word": "بهذا", "probability": 0.6971028645833334}, {"start": 271.15, "end": 271.63, "word": " الشكل", "probability": 0.9697265625}, {"start": 271.63, "end": 272.67, "word": " يبقى", "probability": 0.8458251953125}, {"start": 272.67, "end": 272.99, "word": " هذا", "probability": 0.8994140625}, {"start": 272.99, "end": 273.53, "word": " الشكل", "probability": 0.776611328125}, {"start": 273.53, "end": 274.03, "word": " من", "probability": 0.94873046875}, {"start": 274.03, "end": 274.59, "word": " ال", "probability": 0.88818359375}, {"start": 274.59, "end": 275.21, "word": " parabola", "probability": 0.711181640625}, {"start": 275.21, "end": 275.45, "word": " اللى", "probability": 0.73193359375}, {"start": 275.45, "end": 276.69, "word": " عندنا", "probability": 0.986572265625}, {"start": 276.69, "end": 281.03, "word": " يبقى", "probability": 0.967529296875}, {"start": 281.03, "end": 281.53, "word": " ماس", "probability": 0.32232666015625}, {"start": 281.53, "end": 282.35, "word": " نقطة", "probability": 0.9563802083333334}, {"start": 282.35, "end": 283.03, "word": " الاصل", "probability": 0.7767740885416666}, {"start": 283.03, "end": 283.41, "word": " هنا", "probability": 0.97802734375}, {"start": 283.41, "end": 283.75, "word": " وجه", "probability": 0.6783447265625}, {"start": 283.75, "end": 284.13, "word": " طالع", "probability": 0.7591145833333334}, {"start": 284.13, "end": 284.59, "word": " تاني", "probability": 0.8302408854166666}, {"start": 284.59, "end": 285.53, "word": " حاجة", "probability": 0.8642578125}, {"start": 285.53, "end": 285.89, "word": " ماذا", "probability": 0.6332194010416666}, {"start": 285.89, "end": 286.05, "word": " ذكر", "probability": 0.6199951171875}, {"start": 286.05, "end": 286.29, "word": " ايش", "probability": 0.7312825520833334}, {"start": 286.29, "end": 286.51, "word": " كنا", "probability": 0.913330078125}, {"start": 286.51, "end": 286.89, "word": " نكتب", "probability": 0.989990234375}, {"start": 286.89, "end": 287.89, "word": " المعادلة؟", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 14, "seek": 30362, "start": 288.12, "end": 303.62, "text": "Y تسوي X ربيعها دي حالة خاصة من الحالة العامة، شو الحالة العامة؟ الحالة العامة كانت X تربيع تساوي أربعة PY", "tokens": [56, 6055, 3794, 45865, 1783, 12602, 21292, 3615, 11296, 11778, 1829, 11331, 6027, 3660, 16490, 33546, 3660, 9154, 21542, 6027, 3660, 18863, 10943, 3660, 12399, 13412, 2407, 21542, 6027, 3660, 18863, 10943, 3660, 22807, 21542, 6027, 3660, 18863, 10943, 3660, 25961, 2655, 1783, 6055, 2288, 21292, 3615, 6055, 3794, 995, 45865, 5551, 25513, 27884, 430, 56], "avg_logprob": -0.18064693609873453, "compression_ratio": 1.7, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 288.12, "end": 289.92, "word": "Y", "probability": 0.354248046875}, {"start": 289.92, "end": 290.54, "word": " تسوي", "probability": 0.6012369791666666}, {"start": 290.54, "end": 291.66, "word": " X", "probability": 0.8076171875}, {"start": 291.66, "end": 292.3, "word": " ربيعها", "probability": 0.63507080078125}, {"start": 292.3, "end": 292.52, "word": " دي", "probability": 0.7371826171875}, {"start": 292.52, "end": 293.04, "word": " حالة", "probability": 0.9822591145833334}, {"start": 293.04, "end": 293.54, "word": " خاصة", "probability": 0.99462890625}, {"start": 293.54, "end": 293.76, "word": " من", "probability": 0.98876953125}, {"start": 293.76, "end": 294.52, "word": " الحالة", "probability": 0.9928385416666666}, {"start": 294.52, "end": 295.62, "word": " العامة،", "probability": 0.81561279296875}, {"start": 295.62, "end": 295.96, "word": " شو", "probability": 0.90576171875}, {"start": 295.96, "end": 296.46, "word": " الحالة", "probability": 0.9778645833333334}, {"start": 296.46, "end": 297.44, "word": " العامة؟", "probability": 0.9864501953125}, {"start": 297.44, "end": 298.04, "word": " الحالة", "probability": 0.9895833333333334}, {"start": 298.04, "end": 298.58, "word": " العامة", "probability": 0.9957682291666666}, {"start": 298.58, "end": 299.24, "word": " كانت", "probability": 0.945556640625}, {"start": 299.24, "end": 299.66, "word": " X", "probability": 0.990234375}, {"start": 299.66, "end": 300.58, "word": " تربيع", "probability": 0.8465576171875}, {"start": 300.58, "end": 301.4, "word": " تساوي", "probability": 0.9244384765625}, {"start": 301.4, "end": 302.38, "word": " أربعة", "probability": 0.8006184895833334}, {"start": 302.38, "end": 303.62, "word": " PY", "probability": 0.78076171875}], "temperature": 1.0}, {"id": 15, "seek": 32417, "start": 304.47, "end": 324.17, "text": "يبقى هذه الحالة العاملة من ل .. اللي هو البرادنة، لو كانت P بربع، بتيجي المعادلة اللي بتقول عليها N to Y to 7N X ربيع، الان بناعرف شو ال P هذه، بجي بقول هذا اللي كنا نسميه من ال axis", "tokens": [1829, 3555, 4587, 7578, 29538, 21542, 6027, 3660, 18863, 10943, 37977, 9154, 5296, 4386, 13672, 1829, 31439, 2423, 26890, 18513, 1863, 3660, 12399, 45164, 25961, 2655, 430, 4724, 25513, 3615, 12399, 39894, 1829, 7435, 1829, 9673, 3615, 18513, 37977, 13672, 1829, 39894, 39648, 25894, 11296, 426, 281, 398, 281, 1614, 45, 1783, 12602, 21292, 3615, 12399, 2423, 7649, 4724, 8315, 3615, 28480, 13412, 2407, 2423, 430, 29538, 12399, 4724, 7435, 1829, 4724, 39648, 23758, 13672, 1829, 9122, 8315, 8717, 38251, 1829, 3224, 9154, 2423, 10298], "avg_logprob": -0.29196946946687474, "compression_ratio": 1.6505376344086022, "no_speech_prob": 0.0, "words": [{"start": 304.47, "end": 304.99, "word": "يبقى", "probability": 0.7159423828125}, {"start": 304.99, "end": 305.23, "word": " هذه", "probability": 0.70703125}, {"start": 305.23, "end": 305.71, "word": " الحالة", "probability": 0.9847005208333334}, {"start": 305.71, "end": 306.35, "word": " العاملة", "probability": 0.9431966145833334}, {"start": 306.35, "end": 306.69, "word": " من", "probability": 0.7578125}, {"start": 306.69, "end": 307.49, "word": " ل", "probability": 0.280517578125}, {"start": 307.49, "end": 308.05, "word": " ..", "probability": 0.08056640625}, {"start": 308.05, "end": 308.49, "word": " اللي", "probability": 0.94287109375}, {"start": 308.49, "end": 308.67, "word": " هو", "probability": 0.96923828125}, {"start": 308.67, "end": 309.63, "word": " البرادنة،", "probability": 0.5811767578125}, {"start": 309.63, "end": 310.09, "word": " لو", "probability": 0.96630859375}, {"start": 310.09, "end": 310.79, "word": " كانت", "probability": 0.969482421875}, {"start": 310.79, "end": 311.03, "word": " P", "probability": 0.9267578125}, {"start": 311.03, "end": 311.79, "word": " بربع،", "probability": 0.8575439453125}, {"start": 311.79, "end": 312.21, "word": " بتيجي", "probability": 0.8297119140625}, {"start": 312.21, "end": 312.85, "word": " المعادلة", "probability": 0.9776611328125}, {"start": 312.85, "end": 312.95, "word": " اللي", "probability": 0.916015625}, {"start": 312.95, "end": 313.27, "word": " بتقول", "probability": 0.95751953125}, {"start": 313.27, "end": 313.67, "word": " عليها", "probability": 0.969482421875}, {"start": 313.67, "end": 313.83, "word": " N", "probability": 0.28564453125}, {"start": 313.83, "end": 313.95, "word": " to", "probability": 0.77099609375}, {"start": 313.95, "end": 314.17, "word": " Y", "probability": 0.90185546875}, {"start": 314.17, "end": 314.37, "word": " to", "probability": 0.955078125}, {"start": 314.37, "end": 315.03, "word": " 7N", "probability": 0.4044189453125}, {"start": 315.03, "end": 315.77, "word": " X", "probability": 0.787109375}, {"start": 315.77, "end": 316.65, "word": " ربيع،", "probability": 0.56781005859375}, {"start": 316.65, "end": 316.93, "word": " الان", "probability": 0.6373291015625}, {"start": 316.93, "end": 317.43, "word": " بناعرف", "probability": 0.77294921875}, {"start": 317.43, "end": 317.73, "word": " شو", "probability": 0.973388671875}, {"start": 317.73, "end": 317.89, "word": " ال", "probability": 0.87109375}, {"start": 317.89, "end": 318.11, "word": " P", "probability": 0.95263671875}, {"start": 318.11, "end": 319.29, "word": " هذه،", "probability": 0.6435546875}, {"start": 319.29, "end": 319.65, "word": " بجي", "probability": 0.8115234375}, {"start": 319.65, "end": 320.25, "word": " بقول", "probability": 0.947265625}, {"start": 320.25, "end": 321.17, "word": " هذا", "probability": 0.7177734375}, {"start": 321.17, "end": 321.43, "word": " اللي", "probability": 0.9892578125}, {"start": 321.43, "end": 321.79, "word": " كنا", "probability": 0.993896484375}, {"start": 321.79, "end": 322.59, "word": " نسميه", "probability": 0.9791259765625}, {"start": 322.59, "end": 322.93, "word": " من", "probability": 0.76611328125}, {"start": 322.93, "end": 323.61, "word": " ال", "probability": 0.9775390625}, {"start": 323.61, "end": 324.17, "word": " axis", "probability": 0.5185546875}], "temperature": 1.0}, {"id": 16, "seek": 34135, "start": 324.89, "end": 341.35, "text": "تمام؟ وهذه اللي كنا نسميها ال vertex اللي هو ال rise تبع ال parabola فيه ضالانة شغلتين جداد، الشغل الأولى ليه؟ ال focus، البقرة، أظن سمعته بالمراية المقعرة", "tokens": [39237, 10943, 22807, 37037, 24192, 13672, 1829, 9122, 8315, 8717, 38251, 1829, 11296, 2423, 28162, 13672, 1829, 31439, 2423, 6272, 6055, 3555, 3615, 2423, 45729, 4711, 8978, 3224, 48812, 6027, 7649, 3660, 13412, 17082, 1211, 2655, 9957, 10874, 3215, 18513, 12399, 25124, 17082, 1211, 16247, 12610, 7578, 32239, 3224, 22807, 2423, 1879, 12399, 29739, 4587, 25720, 12399, 5551, 19913, 1863, 8608, 2304, 34268, 3224, 20666, 2304, 23557, 10632, 9673, 4587, 3615, 25720], "avg_logprob": -0.28959759294170223, "compression_ratio": 1.4942528735632183, "no_speech_prob": 0.0, "words": [{"start": 324.89, "end": 325.79, "word": "تمام؟", "probability": 0.6678670247395834}, {"start": 325.79, "end": 326.37, "word": " وهذه", "probability": 0.674560546875}, {"start": 326.37, "end": 326.51, "word": " اللي", "probability": 0.8935546875}, {"start": 326.51, "end": 326.81, "word": " كنا", "probability": 0.990478515625}, {"start": 326.81, "end": 327.87, "word": " نسميها", "probability": 0.9552001953125}, {"start": 327.87, "end": 328.47, "word": " ال", "probability": 0.94970703125}, {"start": 328.47, "end": 329.57, "word": " vertex", "probability": 0.5146484375}, {"start": 329.57, "end": 330.17, "word": " اللي", "probability": 0.9287109375}, {"start": 330.17, "end": 330.31, "word": " هو", "probability": 0.98876953125}, {"start": 330.31, "end": 330.45, "word": " ال", "probability": 0.76318359375}, {"start": 330.45, "end": 330.67, "word": " rise", "probability": 0.36962890625}, {"start": 330.67, "end": 331.07, "word": " تبع", "probability": 0.9344075520833334}, {"start": 331.07, "end": 331.21, "word": " ال", "probability": 0.9365234375}, {"start": 331.21, "end": 331.71, "word": " parabola", "probability": 0.786376953125}, {"start": 331.71, "end": 332.37, "word": " فيه", "probability": 0.5179443359375}, {"start": 332.37, "end": 332.85, "word": " ضالانة", "probability": 0.72412109375}, {"start": 332.85, "end": 333.47, "word": " شغلتين", "probability": 0.95}, {"start": 333.47, "end": 334.35, "word": " جداد،", "probability": 0.48162841796875}, {"start": 334.35, "end": 334.91, "word": " الشغل", "probability": 0.8702799479166666}, {"start": 334.91, "end": 335.21, "word": " الأولى", "probability": 0.84814453125}, {"start": 335.21, "end": 335.49, "word": " ليه؟", "probability": 0.8758138020833334}, {"start": 335.49, "end": 335.61, "word": " ال", "probability": 0.84228515625}, {"start": 335.61, "end": 336.75, "word": " focus،", "probability": 0.6546630859375}, {"start": 336.75, "end": 338.79, "word": " البقرة،", "probability": 0.7581787109375}, {"start": 338.79, "end": 339.11, "word": " أظن", "probability": 0.7574869791666666}, {"start": 339.11, "end": 339.69, "word": " سمعته", "probability": 0.9547119140625}, {"start": 339.69, "end": 340.25, "word": " بالمراية", "probability": 0.621124267578125}, {"start": 340.25, "end": 341.35, "word": " المقعرة", "probability": 0.9107666015625}], "temperature": 1.0}, {"id": 17, "seek": 36712, "start": 341.92, "end": 367.12, "text": "هذا المرحلة لو سقطت عليها الشمس بتجمع الأشعة كلها بتحط عليها النقطة دي بيسميها البقرة يبقى المنحنة اللي عندنا هذا بقله بقرة البقرة تقع على ال axis هنا بشكل اللي عندنا هذا يبقى هذه الإحداث تبعها Zero و P", "tokens": [3224, 15730, 9673, 2288, 5016, 1211, 3660, 45164, 8608, 47432, 2655, 25894, 11296, 25124, 2304, 3794, 39894, 7435, 2304, 3615, 16247, 8592, 27884, 28242, 11296, 39894, 5016, 9566, 25894, 11296, 28239, 47432, 3660, 11778, 1829, 4724, 1829, 38251, 1829, 11296, 29739, 4587, 25720, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 3660, 13672, 1829, 43242, 8315, 23758, 4724, 4587, 43761, 4724, 4587, 25720, 29739, 4587, 25720, 6055, 4587, 3615, 15844, 2423, 10298, 34105, 4724, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 29538, 33688, 24401, 5718, 104, 6055, 3555, 3615, 11296, 17182, 4032, 430], "avg_logprob": -0.25621812106395253, "compression_ratio": 1.8888888888888888, "no_speech_prob": 0.0, "words": [{"start": 341.92, "end": 343.06, "word": "هذا", "probability": 0.5516357421875}, {"start": 343.06, "end": 345.3, "word": " المرحلة", "probability": 0.5865234375}, {"start": 345.3, "end": 345.32, "word": " لو", "probability": 0.5625}, {"start": 345.32, "end": 346.12, "word": " سقطت", "probability": 0.9108072916666666}, {"start": 346.12, "end": 346.46, "word": " عليها", "probability": 0.974853515625}, {"start": 346.46, "end": 346.98, "word": " الشمس", "probability": 0.99462890625}, {"start": 346.98, "end": 347.8, "word": " بتجمع", "probability": 0.776702880859375}, {"start": 347.8, "end": 348.58, "word": " الأشعة", "probability": 0.85595703125}, {"start": 348.58, "end": 349.02, "word": " كلها", "probability": 0.88720703125}, {"start": 349.02, "end": 349.48, "word": " بتحط", "probability": 0.7508138020833334}, {"start": 349.48, "end": 350.02, "word": " عليها", "probability": 0.58056640625}, {"start": 350.02, "end": 351.18, "word": " النقطة", "probability": 0.8841145833333334}, {"start": 351.18, "end": 351.36, "word": " دي", "probability": 0.79345703125}, {"start": 351.36, "end": 352.0, "word": " بيسميها", "probability": 0.88271484375}, {"start": 352.0, "end": 352.64, "word": " البقرة", "probability": 0.8175455729166666}, {"start": 352.64, "end": 354.2, "word": " يبقى", "probability": 0.810791015625}, {"start": 354.2, "end": 354.92, "word": " المنحنة", "probability": 0.888671875}, {"start": 354.92, "end": 355.1, "word": " اللي", "probability": 0.951171875}, {"start": 355.1, "end": 355.64, "word": " عندنا", "probability": 0.844970703125}, {"start": 355.64, "end": 356.02, "word": " هذا", "probability": 0.33251953125}, {"start": 356.02, "end": 356.52, "word": " بقله", "probability": 0.466552734375}, {"start": 356.52, "end": 357.18, "word": " بقرة", "probability": 0.9521484375}, {"start": 357.18, "end": 358.28, "word": " البقرة", "probability": 0.8844401041666666}, {"start": 358.28, "end": 359.0, "word": " تقع", "probability": 0.9806315104166666}, {"start": 359.0, "end": 359.34, "word": " على", "probability": 0.90576171875}, {"start": 359.34, "end": 359.6, "word": " ال", "probability": 0.89892578125}, {"start": 359.6, "end": 360.2, "word": " axis", "probability": 0.7314453125}, {"start": 360.2, "end": 360.9, "word": " هنا", "probability": 0.927734375}, {"start": 360.9, "end": 361.84, "word": " بشكل", "probability": 0.8143717447916666}, {"start": 361.84, "end": 362.08, "word": " اللي", "probability": 0.9716796875}, {"start": 362.08, "end": 362.44, "word": " عندنا", "probability": 0.94580078125}, {"start": 362.44, "end": 362.74, "word": " هذا", "probability": 0.9443359375}, {"start": 362.74, "end": 363.82, "word": " يبقى", "probability": 0.955810546875}, {"start": 363.82, "end": 364.12, "word": " هذه", "probability": 0.87109375}, {"start": 364.12, "end": 364.6, "word": " الإحداث", "probability": 0.786376953125}, {"start": 364.6, "end": 365.48, "word": " تبعها", "probability": 0.8037109375}, {"start": 365.48, "end": 366.26, "word": " Zero", "probability": 0.233154296875}, {"start": 366.26, "end": 366.96, "word": " و", "probability": 0.81982421875}, {"start": 366.96, "end": 367.12, "word": " P", "probability": 0.6572265625}], "temperature": 1.0}, {"id": 18, "seek": 39314, "start": 368.24, "end": 393.14, "text": "P اللي هو البعد هذا هذا هو البعد P اللي بسميه البعد البقري parabolas focal length البعد البقري للبرابولة يبقى هذا بسميه parabolas focal length", "tokens": [47, 13672, 1829, 31439, 29739, 22488, 23758, 23758, 31439, 29739, 22488, 430, 13672, 1829, 4724, 38251, 1829, 3224, 29739, 22488, 29739, 4587, 16572, 45729, 14104, 26592, 4641, 29739, 22488, 29739, 4587, 16572, 24976, 26890, 16758, 12610, 3660, 7251, 3555, 4587, 7578, 23758, 4724, 38251, 1829, 3224, 45729, 14104, 26592, 4641], "avg_logprob": -0.20542279178021, "compression_ratio": 1.912280701754386, "no_speech_prob": 0.0, "words": [{"start": 368.24, "end": 368.52, "word": "P", "probability": 0.447509765625}, {"start": 368.52, "end": 368.82, "word": " اللي", "probability": 0.85888671875}, {"start": 368.82, "end": 369.04, "word": " هو", "probability": 0.994140625}, {"start": 369.04, "end": 369.56, "word": " البعد", "probability": 0.936767578125}, {"start": 369.56, "end": 370.08, "word": " هذا", "probability": 0.84814453125}, {"start": 370.08, "end": 370.84, "word": " هذا", "probability": 0.206787109375}, {"start": 370.84, "end": 371.16, "word": " هو", "probability": 0.892578125}, {"start": 371.16, "end": 371.7, "word": " البعد", "probability": 0.981201171875}, {"start": 371.7, "end": 372.14, "word": " P", "probability": 0.87841796875}, {"start": 372.14, "end": 372.8, "word": " اللي", "probability": 0.959228515625}, {"start": 372.8, "end": 376.74, "word": " بسميه", "probability": 0.9346923828125}, {"start": 376.74, "end": 377.8, "word": " البعد", "probability": 0.714111328125}, {"start": 377.8, "end": 378.82, "word": " البقري", "probability": 0.7825520833333334}, {"start": 378.82, "end": 379.8, "word": " parabolas", "probability": 0.699951171875}, {"start": 379.8, "end": 380.3, "word": " focal", "probability": 0.3603515625}, {"start": 380.3, "end": 381.1, "word": " length", "probability": 0.82421875}, {"start": 381.1, "end": 381.96, "word": " البعد", "probability": 0.762451171875}, {"start": 381.96, "end": 382.72, "word": " البقري", "probability": 0.9835611979166666}, {"start": 382.72, "end": 384.08, "word": " للبرابولة", "probability": 0.746337890625}, {"start": 384.08, "end": 385.08, "word": " يبقى", "probability": 0.955078125}, {"start": 385.08, "end": 385.44, "word": " هذا", "probability": 0.96875}, {"start": 385.44, "end": 386.8, "word": " بسميه", "probability": 0.9925537109375}, {"start": 386.8, "end": 388.9, "word": " parabolas", "probability": 0.93603515625}, {"start": 388.9, "end": 391.04, "word": " focal", "probability": 0.95947265625}, {"start": 391.04, "end": 393.14, "word": " length", "probability": 0.81591796875}], "temperature": 1.0}, {"id": 19, "seek": 40082, "start": 394.6, "end": 400.82, "text": "البعد البقري للParabola، فبقى كويس، يبقى كويس ورا عنا نقلب دواش؟ تلاتة", "tokens": [6027, 3555, 22488, 29739, 4587, 16572, 24976, 46087, 14923, 64, 12399, 6156, 3555, 4587, 7578, 9122, 45865, 3794, 12399, 7251, 3555, 4587, 7578, 9122, 45865, 3794, 4032, 23557, 6225, 8315, 8717, 4587, 46152, 11778, 2407, 33599, 22807, 6055, 1211, 9307, 3660], "avg_logprob": -0.5293898852098555, "compression_ratio": 1.198019801980198, "no_speech_prob": 0.0, "words": [{"start": 394.6, "end": 395.34, "word": "البعد", "probability": 0.78369140625}, {"start": 395.34, "end": 396.04, "word": " البقري", "probability": 0.8055013020833334}, {"start": 396.04, "end": 397.5, "word": " للParabola،", "probability": 0.5632080078125}, {"start": 397.5, "end": 397.9, "word": " فبقى", "probability": 0.5894775390625}, {"start": 397.9, "end": 398.44, "word": " كويس،", "probability": 0.8201904296875}, {"start": 398.44, "end": 398.72, "word": " يبقى", "probability": 0.83935546875}, {"start": 398.72, "end": 398.84, "word": " كويس", "probability": 0.96435546875}, {"start": 398.84, "end": 399.0, "word": " ورا", "probability": 0.25189208984375}, {"start": 399.0, "end": 399.16, "word": " عنا", "probability": 0.4598388671875}, {"start": 399.16, "end": 399.4, "word": " نقلب", "probability": 0.4330240885416667}, {"start": 399.4, "end": 400.06, "word": " دواش؟", "probability": 0.41143798828125}, {"start": 400.06, "end": 400.82, "word": " تلاتة", "probability": 0.9022216796875}], "temperature": 1.0}, {"id": 20, "seek": 42811, "start": 408.35, "end": 428.11, "text": "خط مستقيم عمودي على الـ axis بهذا الشكل تماما ويبعد عنه مسافة مقدارها P يبقى هذه المسافة مقدارها P كذلك إذا هذا الخط معادلة Y تساوي كم؟", "tokens": [9778, 9566, 3714, 14851, 4587, 32640, 6225, 2304, 2407, 16254, 15844, 2423, 39184, 10298, 39627, 15730, 25124, 28820, 46811, 10943, 995, 4032, 1829, 3555, 22488, 18871, 3224, 47524, 31845, 3660, 3714, 28543, 9640, 11296, 430, 7251, 3555, 4587, 7578, 29538, 9673, 3794, 31845, 3660, 3714, 28543, 9640, 11296, 430, 9122, 8848, 23275, 11933, 15730, 23758, 33962, 9566, 20449, 18513, 37977, 398, 6055, 3794, 995, 45865, 9122, 2304, 22807], "avg_logprob": -0.21931612491607666, "compression_ratio": 1.5695364238410596, "no_speech_prob": 0.0, "words": [{"start": 408.35, "end": 409.75, "word": "خط", "probability": 0.5086212158203125}, {"start": 409.75, "end": 411.13, "word": " مستقيم", "probability": 0.9222412109375}, {"start": 411.13, "end": 411.99, "word": " عمودي", "probability": 0.9312744140625}, {"start": 411.99, "end": 412.33, "word": " على", "probability": 0.81640625}, {"start": 412.33, "end": 412.59, "word": " الـ", "probability": 0.5430908203125}, {"start": 412.59, "end": 413.25, "word": " axis", "probability": 0.43994140625}, {"start": 413.25, "end": 414.13, "word": " بهذا", "probability": 0.60101318359375}, {"start": 414.13, "end": 414.71, "word": " الشكل", "probability": 0.98681640625}, {"start": 414.71, "end": 415.53, "word": " تماما", "probability": 0.9498697916666666}, {"start": 415.53, "end": 416.85, "word": " ويبعد", "probability": 0.8155517578125}, {"start": 416.85, "end": 417.55, "word": " عنه", "probability": 0.97900390625}, {"start": 417.55, "end": 418.47, "word": " مسافة", "probability": 0.9944661458333334}, {"start": 418.47, "end": 419.65, "word": " مقدارها", "probability": 0.8682861328125}, {"start": 419.65, "end": 420.11, "word": " P", "probability": 0.8544921875}, {"start": 420.11, "end": 421.13, "word": " يبقى", "probability": 0.89013671875}, {"start": 421.13, "end": 421.43, "word": " هذه", "probability": 0.9013671875}, {"start": 421.43, "end": 422.29, "word": " المسافة", "probability": 0.98486328125}, {"start": 422.29, "end": 423.07, "word": " مقدارها", "probability": 0.97607421875}, {"start": 423.07, "end": 423.39, "word": " P", "probability": 0.97119140625}, {"start": 423.39, "end": 424.15, "word": " كذلك", "probability": 0.9705403645833334}, {"start": 424.15, "end": 424.85, "word": " إذا", "probability": 0.6273193359375}, {"start": 424.85, "end": 425.29, "word": " هذا", "probability": 0.68798828125}, {"start": 425.29, "end": 425.87, "word": " الخط", "probability": 0.966796875}, {"start": 425.87, "end": 426.69, "word": " معادلة", "probability": 0.90087890625}, {"start": 426.69, "end": 426.99, "word": " Y", "probability": 0.70458984375}, {"start": 426.99, "end": 427.47, "word": " تساوي", "probability": 0.7232513427734375}, {"start": 427.47, "end": 428.11, "word": " كم؟", "probability": 0.7867838541666666}], "temperature": 1.0}, {"id": 21, "seek": 45545, "start": 429.81, "end": 455.45, "text": "سالب بي. يبقى سالب بي. إذا الفرابلة لو حبنا نعطيله تعريف رياضي بقول هو المحل الهندسي للنقطة التي تتحرك في المستوى بحيث يكون بعديها عن نقطة ثابتة وعن مستقيم ثابت يسوي مقدارا ثابتا او", "tokens": [3794, 6027, 3555, 4724, 1829, 13, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 4724, 1829, 13, 11933, 15730, 27188, 2288, 16758, 1211, 3660, 45164, 11331, 3555, 8315, 8717, 3615, 9566, 26895, 3224, 37279, 16572, 5172, 12602, 1829, 46958, 1829, 4724, 39648, 31439, 9673, 5016, 1211, 2423, 3224, 41260, 3794, 1829, 24976, 1863, 47432, 3660, 38392, 6055, 2655, 5016, 31747, 8978, 9673, 14851, 2407, 7578, 4724, 5016, 1829, 12984, 7251, 30544, 45030, 16254, 11296, 18871, 8717, 47432, 3660, 38637, 16758, 2655, 3660, 4032, 3615, 1863, 3714, 14851, 4587, 32640, 38637, 16758, 2655, 7251, 3794, 45865, 3714, 28543, 9640, 995, 38637, 16758, 2655, 995, 1975, 2407], "avg_logprob": -0.14799107142857143, "compression_ratio": 1.7771739130434783, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 429.81, "end": 431.17, "word": "سالب", "probability": 0.5736287434895834}, {"start": 431.17, "end": 431.55, "word": " بي.", "probability": 0.667724609375}, {"start": 431.57, "end": 432.07, "word": " يبقى", "probability": 0.9268798828125}, {"start": 432.07, "end": 432.97, "word": " سالب", "probability": 0.935546875}, {"start": 432.97, "end": 433.37, "word": " بي.", "probability": 0.98583984375}, {"start": 433.89, "end": 434.59, "word": " إذا", "probability": 0.816162109375}, {"start": 434.59, "end": 435.39, "word": " الفرابلة", "probability": 0.644775390625}, {"start": 435.39, "end": 435.57, "word": " لو", "probability": 0.94921875}, {"start": 435.57, "end": 436.11, "word": " حبنا", "probability": 0.9261067708333334}, {"start": 436.11, "end": 436.75, "word": " نعطيله", "probability": 0.891015625}, {"start": 436.75, "end": 437.33, "word": " تعريف", "probability": 0.99169921875}, {"start": 437.33, "end": 438.07, "word": " رياضي", "probability": 0.9818115234375}, {"start": 438.07, "end": 438.99, "word": " بقول", "probability": 0.823974609375}, {"start": 438.99, "end": 439.29, "word": " هو", "probability": 0.9716796875}, {"start": 439.29, "end": 440.21, "word": " المحل", "probability": 0.9869791666666666}, {"start": 440.21, "end": 441.73, "word": " الهندسي", "probability": 0.99560546875}, {"start": 441.73, "end": 443.01, "word": " للنقطة", "probability": 0.8931884765625}, {"start": 443.01, "end": 443.31, "word": " التي", "probability": 0.9609375}, {"start": 443.31, "end": 444.29, "word": " تتحرك", "probability": 0.9947509765625}, {"start": 444.29, "end": 444.47, "word": " في", "probability": 0.986328125}, {"start": 444.47, "end": 445.43, "word": " المستوى", "probability": 0.9742431640625}, {"start": 445.43, "end": 446.13, "word": " بحيث", "probability": 0.960693359375}, {"start": 446.13, "end": 446.71, "word": " يكون", "probability": 0.992431640625}, {"start": 446.71, "end": 448.09, "word": " بعديها", "probability": 0.8072916666666666}, {"start": 448.09, "end": 448.75, "word": " عن", "probability": 0.96826171875}, {"start": 448.75, "end": 449.33, "word": " نقطة", "probability": 0.98974609375}, {"start": 449.33, "end": 449.99, "word": " ثابتة", "probability": 0.9832763671875}, {"start": 449.99, "end": 450.41, "word": " وعن", "probability": 0.9095052083333334}, {"start": 450.41, "end": 451.29, "word": " مستقيم", "probability": 0.952392578125}, {"start": 451.29, "end": 452.13, "word": " ثابت", "probability": 0.9954427083333334}, {"start": 452.13, "end": 452.83, "word": " يسوي", "probability": 0.77685546875}, {"start": 452.83, "end": 453.89, "word": " مقدارا", "probability": 0.909912109375}, {"start": 453.89, "end": 454.81, "word": " ثابتا", "probability": 0.9727783203125}, {"start": 454.81, "end": 455.45, "word": " او", "probability": 0.7296142578125}], "temperature": 1.0}, {"id": 22, "seek": 48165, "start": 455.71, "end": 481.65, "text": "هي النقطة التي تتحرك في المستوى بحيث يكون بُعدها عن نقطة ثابتة يساوي بُعدها تماما عن مستقيم ثابت المستقيم الثابت هذا هسميه directrix الدليل يبقى هذا directrix هذه هسميها ال focus للبقرة", "tokens": [3224, 1829, 28239, 47432, 3660, 38392, 6055, 2655, 5016, 31747, 8978, 9673, 14851, 2407, 7578, 4724, 5016, 1829, 12984, 7251, 30544, 4724, 10859, 22488, 11296, 18871, 8717, 47432, 3660, 38637, 16758, 2655, 3660, 7251, 3794, 995, 45865, 4724, 10859, 22488, 11296, 46811, 10943, 995, 18871, 3714, 14851, 4587, 32640, 38637, 16758, 2655, 9673, 14851, 4587, 32640, 6024, 104, 16758, 2655, 23758, 8032, 38251, 1829, 3224, 2047, 6579, 32748, 20292, 1211, 7251, 3555, 4587, 7578, 23758, 2047, 6579, 29538, 8032, 38251, 1829, 11296, 2423, 1879, 24976, 3555, 4587, 25720], "avg_logprob": -0.14834972311941425, "compression_ratio": 1.7853107344632768, "no_speech_prob": 0.0, "words": [{"start": 455.71, "end": 456.23, "word": "هي", "probability": 0.79931640625}, {"start": 456.23, "end": 456.89, "word": " النقطة", "probability": 0.9420572916666666}, {"start": 456.89, "end": 457.13, "word": " التي", "probability": 0.82861328125}, {"start": 457.13, "end": 458.07, "word": " تتحرك", "probability": 0.9935302734375}, {"start": 458.07, "end": 458.25, "word": " في", "probability": 0.95849609375}, {"start": 458.25, "end": 459.23, "word": " المستوى", "probability": 0.9649658203125}, {"start": 459.23, "end": 460.03, "word": " بحيث", "probability": 0.95703125}, {"start": 460.03, "end": 460.59, "word": " يكون", "probability": 0.982666015625}, {"start": 460.59, "end": 461.73, "word": " بُعدها", "probability": 0.73626708984375}, {"start": 461.73, "end": 462.37, "word": " عن", "probability": 0.62451171875}, {"start": 462.37, "end": 462.93, "word": " نقطة", "probability": 0.9475911458333334}, {"start": 462.93, "end": 463.43, "word": " ثابتة", "probability": 0.9703369140625}, {"start": 463.43, "end": 464.29, "word": " يساوي", "probability": 0.945556640625}, {"start": 464.29, "end": 465.01, "word": " بُعدها", "probability": 0.9927978515625}, {"start": 465.01, "end": 465.77, "word": " تماما", "probability": 0.98193359375}, {"start": 465.77, "end": 466.29, "word": " عن", "probability": 0.9326171875}, {"start": 466.29, "end": 467.01, "word": " مستقيم", "probability": 0.9554443359375}, {"start": 467.01, "end": 467.63, "word": " ثابت", "probability": 0.9943033854166666}, {"start": 467.63, "end": 468.67, "word": " المستقيم", "probability": 0.9013671875}, {"start": 468.67, "end": 469.31, "word": " الثابت", "probability": 0.96630859375}, {"start": 469.31, "end": 469.65, "word": " هذا", "probability": 0.7744140625}, {"start": 469.65, "end": 470.57, "word": " هسميه", "probability": 0.860595703125}, {"start": 470.57, "end": 471.85, "word": " directrix", "probability": 0.5015411376953125}, {"start": 471.85, "end": 473.51, "word": " الدليل", "probability": 0.8836263020833334}, {"start": 473.51, "end": 474.39, "word": " يبقى", "probability": 0.85888671875}, {"start": 474.39, "end": 474.91, "word": " هذا", "probability": 0.9091796875}, {"start": 474.91, "end": 477.07, "word": " directrix", "probability": 0.6728515625}, {"start": 477.07, "end": 478.25, "word": " هذه", "probability": 0.269287109375}, {"start": 478.25, "end": 479.25, "word": " هسميها", "probability": 0.9722900390625}, {"start": 479.25, "end": 479.53, "word": " ال", "probability": 0.87744140625}, {"start": 479.53, "end": 480.51, "word": " focus", "probability": 0.8330078125}, {"start": 480.51, "end": 481.65, "word": " للبقرة", "probability": 0.8682861328125}], "temperature": 1.0}, {"id": 23, "seek": 48566, "start": 482.98, "end": 485.66, "text": "يبقى سهر علنا Vertex", "tokens": [1829, 3555, 4587, 7578, 8608, 3224, 2288, 11203, 8315, 21044, 3121], "avg_logprob": -0.6113281498352686, "compression_ratio": 0.7380952380952381, "no_speech_prob": 0.0, "words": [{"start": 482.98, "end": 483.46, "word": "يبقى", "probability": 0.73358154296875}, {"start": 483.46, "end": 483.82, "word": " سهر", "probability": 0.4724527994791667}, {"start": 483.82, "end": 484.32, "word": " علنا", "probability": 0.6986083984375}, {"start": 484.32, "end": 485.66, "word": " Vertex", "probability": 0.5771484375}], "temperature": 1.0}, {"id": 24, "seek": 51253, "start": 486.15, "end": 512.53, "text": "اكسز خط اللي بنصفه لنصين focus by rectrix هاي الأربع معلومات تبعت من ال Parabola يبقى لو شفت معادل Xربيه يسوى أربعة في Y معناته Parabola ال physics تبعه هي نقطة الأصل and open R مفتوح إلى أنا بسبب الإشارة الموجبة هنا طب لو صارت الإشارة سالبة", "tokens": [995, 4117, 3794, 11622, 16490, 9566, 13672, 1829, 44945, 9381, 5172, 3224, 5296, 1863, 9381, 9957, 1879, 538, 11048, 6579, 8032, 47302, 16247, 25513, 3615, 20449, 1211, 20498, 9307, 6055, 3555, 34268, 9154, 2423, 3457, 455, 4711, 7251, 3555, 4587, 7578, 45164, 13412, 5172, 2655, 20449, 18513, 1211, 1783, 2288, 21292, 3224, 7251, 3794, 2407, 7578, 5551, 25513, 27884, 8978, 398, 20449, 8315, 47395, 3457, 455, 4711, 2423, 10649, 6055, 3555, 3615, 3224, 39896, 8717, 47432, 3660, 16247, 36520, 293, 1269, 497, 3714, 5172, 2655, 2407, 5016, 30731, 41850, 4724, 35457, 3555, 33688, 8592, 9640, 3660, 9673, 29245, 49401, 34105, 23032, 3555, 45164, 20328, 9640, 2655, 33688, 8592, 9640, 3660, 8608, 6027, 49401], "avg_logprob": -0.3215460630885342, "compression_ratio": 1.5877551020408163, "no_speech_prob": 0.0, "words": [{"start": 486.15, "end": 487.27, "word": "اكسز", "probability": 0.60693359375}, {"start": 487.27, "end": 487.87, "word": " خط", "probability": 0.929931640625}, {"start": 487.87, "end": 488.07, "word": " اللي", "probability": 0.5526123046875}, {"start": 488.07, "end": 488.61, "word": " بنصفه", "probability": 0.5924072265625}, {"start": 488.61, "end": 489.35, "word": " لنصين", "probability": 0.88232421875}, {"start": 489.35, "end": 490.53, "word": " focus", "probability": 0.560546875}, {"start": 490.53, "end": 491.33, "word": " by", "probability": 0.4267578125}, {"start": 491.33, "end": 491.91, "word": " rectrix", "probability": 0.412353515625}, {"start": 491.91, "end": 492.37, "word": " هاي", "probability": 0.57666015625}, {"start": 492.37, "end": 492.87, "word": " الأربع", "probability": 0.9226888020833334}, {"start": 492.87, "end": 493.51, "word": " معلومات", "probability": 0.9771728515625}, {"start": 493.51, "end": 493.81, "word": " تبعت", "probability": 0.6079915364583334}, {"start": 493.81, "end": 494.03, "word": " من", "probability": 0.95458984375}, {"start": 494.03, "end": 494.91, "word": " ال", "probability": 0.6494140625}, {"start": 494.91, "end": 495.59, "word": " Parabola", "probability": 0.6065266927083334}, {"start": 495.59, "end": 496.37, "word": " يبقى", "probability": 0.9178466796875}, {"start": 496.37, "end": 496.57, "word": " لو", "probability": 0.9609375}, {"start": 496.57, "end": 497.11, "word": " شفت", "probability": 0.9290364583333334}, {"start": 497.11, "end": 497.85, "word": " معادل", "probability": 0.9586588541666666}, {"start": 497.85, "end": 498.41, "word": " Xربيه", "probability": 0.5057830810546875}, {"start": 498.41, "end": 498.83, "word": " يسوى", "probability": 0.5909423828125}, {"start": 498.83, "end": 499.43, "word": " أربعة", "probability": 0.6104329427083334}, {"start": 499.43, "end": 499.67, "word": " في", "probability": 0.525390625}, {"start": 499.67, "end": 500.11, "word": " Y", "probability": 0.91015625}, {"start": 500.11, "end": 500.99, "word": " معناته", "probability": 0.7508138020833334}, {"start": 500.99, "end": 501.81, "word": " Parabola", "probability": 0.8507486979166666}, {"start": 501.81, "end": 502.45, "word": " ال", "probability": 0.78857421875}, {"start": 502.45, "end": 502.93, "word": " physics", "probability": 0.75390625}, {"start": 502.93, "end": 503.49, "word": " تبعه", "probability": 0.83935546875}, {"start": 503.49, "end": 503.67, "word": " هي", "probability": 0.42236328125}, {"start": 503.67, "end": 504.19, "word": " نقطة", "probability": 0.8919270833333334}, {"start": 504.19, "end": 504.65, "word": " الأصل", "probability": 0.7607421875}, {"start": 504.65, "end": 505.05, "word": " and", "probability": 0.88427734375}, {"start": 505.05, "end": 505.75, "word": " open", "probability": 0.82861328125}, {"start": 505.75, "end": 506.19, "word": " R", "probability": 0.45361328125}, {"start": 506.19, "end": 507.37, "word": " مفتوح", "probability": 0.99248046875}, {"start": 507.37, "end": 507.63, "word": " إلى", "probability": 0.529296875}, {"start": 507.63, "end": 507.93, "word": " أنا", "probability": 0.1397705078125}, {"start": 507.93, "end": 508.47, "word": " بسبب", "probability": 0.9930013020833334}, {"start": 508.47, "end": 509.13, "word": " الإشارة", "probability": 0.9747314453125}, {"start": 509.13, "end": 509.69, "word": " الموجبة", "probability": 0.904296875}, {"start": 509.69, "end": 510.13, "word": " هنا", "probability": 0.98828125}, {"start": 510.13, "end": 510.83, "word": " طب", "probability": 0.900634765625}, {"start": 510.83, "end": 511.05, "word": " لو", "probability": 0.99267578125}, {"start": 511.05, "end": 511.43, "word": " صارت", "probability": 0.9615885416666666}, {"start": 511.43, "end": 511.99, "word": " الإشارة", "probability": 0.9881591796875}, {"start": 511.99, "end": 512.53, "word": " سالبة", "probability": 0.83935546875}], "temperature": 1.0}, {"id": 25, "seek": 53724, "start": 513.18, "end": 537.24, "text": "يجب ان ينقلب البرابولة ويسير الى أسفل كيف؟ على الشكل التالي فبعدين بقول لو كان هذا محور X و هذا محور Y يبقى البرابولة بيصير بالشكل اللي انها هذا ويصير معادلة X تربيع يساوي سالب أربعة PY", "tokens": [1829, 7435, 3555, 16472, 7251, 1863, 4587, 46152, 2423, 26890, 16758, 12610, 3660, 4032, 1829, 3794, 13546, 2423, 7578, 5551, 3794, 5172, 1211, 9122, 33911, 22807, 15844, 25124, 28820, 16712, 6027, 1829, 6156, 3555, 22488, 9957, 4724, 39648, 45164, 25961, 23758, 3714, 5016, 13063, 1783, 4032, 23758, 3714, 5016, 13063, 398, 7251, 3555, 4587, 7578, 2423, 26890, 16758, 12610, 3660, 4724, 1829, 9381, 13546, 20666, 8592, 28820, 13672, 1829, 16472, 11296, 23758, 4032, 1829, 9381, 13546, 20449, 18513, 37977, 1783, 6055, 2288, 21292, 3615, 7251, 3794, 995, 45865, 8608, 6027, 3555, 5551, 25513, 27884, 430, 56], "avg_logprob": -0.2920425159415019, "compression_ratio": 1.88, "no_speech_prob": 0.0, "words": [{"start": 513.18, "end": 513.66, "word": "يجب", "probability": 0.4388020833333333}, {"start": 513.66, "end": 513.74, "word": " ان", "probability": 0.43408203125}, {"start": 513.74, "end": 514.12, "word": " ينقلب", "probability": 0.7806396484375}, {"start": 514.12, "end": 514.78, "word": " البرابولة", "probability": 0.5968505859375}, {"start": 514.78, "end": 515.28, "word": " ويسير", "probability": 0.653076171875}, {"start": 515.28, "end": 515.76, "word": " الى", "probability": 0.7152099609375}, {"start": 515.76, "end": 516.52, "word": " أسفل", "probability": 0.884521484375}, {"start": 516.52, "end": 517.54, "word": " كيف؟", "probability": 0.7721354166666666}, {"start": 517.54, "end": 517.66, "word": " على", "probability": 0.84912109375}, {"start": 517.66, "end": 518.2, "word": " الشكل", "probability": 0.97998046875}, {"start": 518.2, "end": 519.02, "word": " التالي", "probability": 0.9767252604166666}, {"start": 519.02, "end": 520.04, "word": " فبعدين", "probability": 0.660736083984375}, {"start": 520.04, "end": 520.48, "word": " بقول", "probability": 0.872802734375}, {"start": 520.48, "end": 521.14, "word": " لو", "probability": 0.478515625}, {"start": 521.14, "end": 521.46, "word": " كان", "probability": 0.98291015625}, {"start": 521.46, "end": 521.78, "word": " هذا", "probability": 0.943359375}, {"start": 521.78, "end": 522.34, "word": " محور", "probability": 0.9905598958333334}, {"start": 522.34, "end": 522.78, "word": " X", "probability": 0.837890625}, {"start": 522.78, "end": 523.22, "word": " و", "probability": 0.603515625}, {"start": 523.22, "end": 523.54, "word": " هذا", "probability": 0.7509765625}, {"start": 523.54, "end": 524.14, "word": " محور", "probability": 0.9788411458333334}, {"start": 524.14, "end": 524.5, "word": " Y", "probability": 0.99609375}, {"start": 524.5, "end": 525.36, "word": " يبقى", "probability": 0.9432373046875}, {"start": 525.36, "end": 526.14, "word": " البرابولة", "probability": 0.97861328125}, {"start": 526.14, "end": 527.06, "word": " بيصير", "probability": 0.80126953125}, {"start": 527.06, "end": 527.64, "word": " بالشكل", "probability": 0.9612630208333334}, {"start": 527.64, "end": 527.84, "word": " اللي", "probability": 0.874267578125}, {"start": 527.84, "end": 528.24, "word": " انها", "probability": 0.4461669921875}, {"start": 528.24, "end": 528.54, "word": " هذا", "probability": 0.431640625}, {"start": 528.54, "end": 529.58, "word": " ويصير", "probability": 0.68646240234375}, {"start": 529.58, "end": 530.42, "word": " معادلة", "probability": 0.927734375}, {"start": 530.42, "end": 530.98, "word": " X", "probability": 0.98291015625}, {"start": 530.98, "end": 531.76, "word": " تربيع", "probability": 0.7021484375}, {"start": 531.76, "end": 532.8, "word": " يساوي", "probability": 0.88330078125}, {"start": 532.8, "end": 534.32, "word": " سالب", "probability": 0.8194986979166666}, {"start": 534.32, "end": 535.94, "word": " أربعة", "probability": 0.6927897135416666}, {"start": 535.94, "end": 537.24, "word": " PY", "probability": 0.6416015625}], "temperature": 1.0}, {"id": 26, "seek": 56678, "start": 537.94, "end": 566.78, "text": "حسنًا، الـP الآن هو الـFocus. الـFocus موجود أين؟ الداخل. الداخل.يعني لو كنت أجرب لك الفكرة بالبلدي، بالبلدي، أين البقرة بالنسبة للإنسان؟ القلب. لو خرب القلب، مات الإنسان. مظبوط؟ يبقى دائمًا أنك بدأت تفهم أن البقرة في داخل الرسم البياني للمنحنط. إذن البقرة بدأ تجينا هنا.", "tokens": [5016, 3794, 1863, 14111, 995, 12399, 2423, 39184, 47, 6024, 48506, 31439, 2423, 39184, 37, 15206, 13, 2423, 39184, 37, 15206, 3714, 29245, 23328, 5551, 9957, 22807, 32748, 47283, 1211, 13, 32748, 47283, 1211, 13, 40228, 22653, 45164, 9122, 29399, 5551, 7435, 25513, 5296, 4117, 27188, 4117, 25720, 20666, 36150, 16254, 12399, 20666, 36150, 16254, 12399, 5551, 9957, 29739, 4587, 25720, 20666, 1863, 35457, 3660, 24976, 28814, 1863, 3794, 7649, 22807, 25062, 46152, 13, 45164, 16490, 25513, 25062, 46152, 12399, 3714, 9307, 33688, 1863, 3794, 7649, 13, 3714, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 11778, 16373, 2304, 14111, 995, 14739, 4117, 47525, 10721, 2655, 6055, 5172, 16095, 14739, 29739, 4587, 25720, 8978, 11778, 47283, 1211, 34892, 38251, 2423, 21292, 7649, 1829, 5296, 19528, 1863, 5016, 1863, 9566, 13, 11933, 8848, 1863, 29739, 4587, 25720, 47525, 10721, 6055, 7435, 1829, 8315, 34105, 13], "avg_logprob": -0.3103595890410959, "compression_ratio": 1.935483870967742, "no_speech_prob": 0.0, "words": [{"start": 537.94, "end": 538.68, "word": "حسنًا،", "probability": 0.593963623046875}, {"start": 538.68, "end": 538.82, "word": " الـP", "probability": 0.4746907552083333}, {"start": 538.82, "end": 539.42, "word": " الآن", "probability": 0.64404296875}, {"start": 539.42, "end": 539.8, "word": " هو", "probability": 0.490966796875}, {"start": 539.8, "end": 540.32, "word": " الـFocus.", "probability": 0.61199951171875}, {"start": 541.3, "end": 542.34, "word": " الـFocus", "probability": 0.6564102172851562}, {"start": 542.34, "end": 542.8, "word": " موجود", "probability": 0.7569173177083334}, {"start": 542.8, "end": 543.3, "word": " أين؟", "probability": 0.6819254557291666}, {"start": 543.3, "end": 544.5, "word": " الداخل.", "probability": 0.9339192708333334}, {"start": 544.5, "end": 544.64, "word": " الداخل", "probability": 0.7199300130208334}, {"start": 544.64, "end": 545.42, "word": ".يعني", "probability": 0.6564127604166666}, {"start": 545.42, "end": 545.64, "word": " لو", "probability": 0.6572265625}, {"start": 545.64, "end": 545.86, "word": " كنت", "probability": 0.871337890625}, {"start": 545.86, "end": 546.24, "word": " أجرب", "probability": 0.8304036458333334}, {"start": 546.24, "end": 546.48, "word": " لك", "probability": 0.6727294921875}, {"start": 546.48, "end": 546.94, "word": " الفكرة", "probability": 0.97705078125}, {"start": 546.94, "end": 547.94, "word": " بالبلدي،", "probability": 0.7210693359375}, {"start": 547.94, "end": 549.74, "word": " بالبلدي،", "probability": 0.684814453125}, {"start": 549.74, "end": 550.06, "word": " أين", "probability": 0.7227783203125}, {"start": 550.06, "end": 550.62, "word": " البقرة", "probability": 0.7976888020833334}, {"start": 550.62, "end": 551.2, "word": " بالنسبة", "probability": 0.9427490234375}, {"start": 551.2, "end": 552.62, "word": " للإنسان؟", "probability": 0.9730631510416666}, {"start": 552.62, "end": 553.52, "word": " القلب.", "probability": 0.97998046875}, {"start": 554.08, "end": 554.38, "word": " لو", "probability": 0.497802734375}, {"start": 554.38, "end": 554.7, "word": " خرب", "probability": 0.758056640625}, {"start": 554.7, "end": 555.24, "word": " القلب،", "probability": 0.9051106770833334}, {"start": 555.24, "end": 555.46, "word": " مات", "probability": 0.959228515625}, {"start": 555.46, "end": 556.1, "word": " الإنسان.", "probability": 0.989990234375}, {"start": 556.2, "end": 557.24, "word": " مظبوط؟", "probability": 0.8368326822916666}, {"start": 557.24, "end": 557.94, "word": " يبقى", "probability": 0.920654296875}, {"start": 557.94, "end": 558.5, "word": " دائمًا", "probability": 0.886328125}, {"start": 558.5, "end": 558.68, "word": " أنك", "probability": 0.5777587890625}, {"start": 558.68, "end": 558.96, "word": " بدأت", "probability": 0.7019856770833334}, {"start": 558.96, "end": 559.5, "word": " تفهم", "probability": 0.98974609375}, {"start": 559.5, "end": 559.86, "word": " أن", "probability": 0.76904296875}, {"start": 559.86, "end": 560.52, "word": " البقرة", "probability": 0.9894205729166666}, {"start": 560.52, "end": 560.9, "word": " في", "probability": 0.826171875}, {"start": 560.9, "end": 561.68, "word": " داخل", "probability": 0.9637044270833334}, {"start": 561.68, "end": 562.28, "word": " الرسم", "probability": 0.95361328125}, {"start": 562.28, "end": 562.92, "word": " البياني", "probability": 0.92041015625}, {"start": 562.92, "end": 563.74, "word": " للمنحنط.", "probability": 0.7587483723958334}, {"start": 564.18, "end": 564.88, "word": " إذن", "probability": 0.7674153645833334}, {"start": 564.88, "end": 565.58, "word": " البقرة", "probability": 0.8408203125}, {"start": 565.58, "end": 565.96, "word": " بدأ", "probability": 0.8720703125}, {"start": 565.96, "end": 566.48, "word": " تجينا", "probability": 0.7249755859375}, {"start": 566.48, "end": 566.78, "word": " هنا.", "probability": 0.98828125}], "temperature": 1.0}, {"id": 27, "seek": 59459, "start": 567.93, "end": 594.59, "text": "هذه البقرة يبقى الإحداث يتبعها كم؟ Zero و سالب P يبقى ال directrix على نفس البعد بدي يجينا هنا فوق يبقى هذا هو ال directrix اللي معادلة Y تساوي P على نفس البعد تماما وهذه هي ال vertex والaxis بقية كما هو", "tokens": [3224, 24192, 29739, 4587, 25720, 7251, 3555, 4587, 7578, 33688, 24401, 5718, 104, 7251, 2655, 3555, 3615, 11296, 9122, 2304, 22807, 17182, 4032, 8608, 6027, 3555, 430, 7251, 3555, 4587, 7578, 2423, 2047, 6579, 15844, 8717, 36178, 29739, 22488, 4724, 16254, 7251, 7435, 1829, 8315, 34105, 6156, 30543, 7251, 3555, 4587, 7578, 23758, 31439, 2423, 2047, 6579, 13672, 1829, 20449, 18513, 37977, 398, 6055, 3794, 995, 45865, 430, 15844, 8717, 36178, 29739, 22488, 46811, 10943, 995, 37037, 24192, 39896, 2423, 28162, 16070, 24633, 4724, 4587, 10632, 9122, 15042, 31439], "avg_logprob": -0.25694444212648604, "compression_ratio": 1.7277486910994764, "no_speech_prob": 0.0, "words": [{"start": 567.93, "end": 568.47, "word": "هذه", "probability": 0.6492919921875}, {"start": 568.47, "end": 568.95, "word": " البقرة", "probability": 0.5792236328125}, {"start": 568.95, "end": 569.57, "word": " يبقى", "probability": 0.75909423828125}, {"start": 569.57, "end": 570.07, "word": " الإحداث", "probability": 0.79571533203125}, {"start": 570.07, "end": 570.63, "word": " يتبعها", "probability": 0.819287109375}, {"start": 570.63, "end": 571.59, "word": " كم؟", "probability": 0.6575520833333334}, {"start": 571.59, "end": 572.49, "word": " Zero", "probability": 0.77001953125}, {"start": 572.49, "end": 573.15, "word": " و", "probability": 0.53271484375}, {"start": 573.15, "end": 574.07, "word": " سالب", "probability": 0.7998046875}, {"start": 574.07, "end": 574.43, "word": " P", "probability": 0.65478515625}, {"start": 574.43, "end": 575.41, "word": " يبقى", "probability": 0.93017578125}, {"start": 575.41, "end": 575.55, "word": " ال", "probability": 0.91162109375}, {"start": 575.55, "end": 576.47, "word": " directrix", "probability": 0.54608154296875}, {"start": 576.47, "end": 576.81, "word": " على", "probability": 0.9208984375}, {"start": 576.81, "end": 577.37, "word": " نفس", "probability": 0.997314453125}, {"start": 577.37, "end": 578.09, "word": " البعد", "probability": 0.70263671875}, {"start": 578.09, "end": 578.79, "word": " بدي", "probability": 0.37939453125}, {"start": 578.79, "end": 579.23, "word": " يجينا", "probability": 0.78375244140625}, {"start": 579.23, "end": 579.55, "word": " هنا", "probability": 0.9755859375}, {"start": 579.55, "end": 580.13, "word": " فوق", "probability": 0.94384765625}, {"start": 580.13, "end": 581.21, "word": " يبقى", "probability": 0.934326171875}, {"start": 581.21, "end": 581.59, "word": " هذا", "probability": 0.77783203125}, {"start": 581.59, "end": 582.11, "word": " هو", "probability": 0.98876953125}, {"start": 582.11, "end": 582.39, "word": " ال", "probability": 0.7353515625}, {"start": 582.39, "end": 584.41, "word": " directrix", "probability": 0.870361328125}, {"start": 584.41, "end": 585.27, "word": " اللي", "probability": 0.81494140625}, {"start": 585.27, "end": 586.09, "word": " معادلة", "probability": 0.9786783854166666}, {"start": 586.09, "end": 586.81, "word": " Y", "probability": 0.78955078125}, {"start": 586.81, "end": 587.73, "word": " تساوي", "probability": 0.87939453125}, {"start": 587.73, "end": 588.21, "word": " P", "probability": 0.99462890625}, {"start": 588.21, "end": 588.71, "word": " على", "probability": 0.884765625}, {"start": 588.71, "end": 589.09, "word": " نفس", "probability": 0.99853515625}, {"start": 589.09, "end": 589.47, "word": " البعد", "probability": 0.988037109375}, {"start": 589.47, "end": 590.11, "word": " تماما", "probability": 0.9889322916666666}, {"start": 590.11, "end": 591.31, "word": " وهذه", "probability": 0.725341796875}, {"start": 591.31, "end": 591.59, "word": " هي", "probability": 0.95849609375}, {"start": 591.59, "end": 591.75, "word": " ال", "probability": 0.98046875}, {"start": 591.75, "end": 592.25, "word": " vertex", "probability": 0.83935546875}, {"start": 592.25, "end": 593.01, "word": " والaxis", "probability": 0.5472412109375}, {"start": 593.01, "end": 593.59, "word": " بقية", "probability": 0.7657877604166666}, {"start": 593.59, "end": 594.17, "word": " كما", "probability": 0.942626953125}, {"start": 594.17, "end": 594.59, "word": " هو", "probability": 0.994140625}], "temperature": 1.0}, {"id": 28, "seek": 62107, "start": 595.21, "end": 621.07, "text": "يبقى المعادلة X تربية يساوي سلب أربعة TY طب ممكن ما يكون الشكل ممكن يكون مفتوح ذات اليمين أو ذات الشمال يبقى لو حصل هذا بدي يكون شكل ال parabola على الشكل التالي يبقى هذا محور X هذا محور Y هذه نقطة الأصل parabola بدي يكون بالشكل اللي عندنا هذا", "tokens": [1829, 3555, 4587, 7578, 9673, 3615, 18513, 37977, 1783, 6055, 25513, 10632, 7251, 3794, 995, 45865, 8608, 46152, 5551, 25513, 27884, 36187, 23032, 3555, 3714, 43020, 19446, 7251, 30544, 25124, 28820, 3714, 43020, 7251, 30544, 3714, 5172, 2655, 2407, 5016, 29910, 9307, 45595, 2304, 9957, 34051, 29910, 9307, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 45164, 11331, 36520, 23758, 4724, 16254, 7251, 30544, 13412, 28820, 2423, 45729, 4711, 15844, 25124, 28820, 16712, 6027, 1829, 7251, 3555, 4587, 7578, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 29538, 8717, 47432, 3660, 16247, 36520, 45729, 4711, 4724, 16254, 7251, 30544, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.17001146898357147, "compression_ratio": 1.971563981042654, "no_speech_prob": 0.0, "words": [{"start": 595.21, "end": 595.73, "word": "يبقى", "probability": 0.796875}, {"start": 595.73, "end": 596.39, "word": " المعادلة", "probability": 0.9700927734375}, {"start": 596.39, "end": 596.67, "word": " X", "probability": 0.450927734375}, {"start": 596.67, "end": 597.17, "word": " تربية", "probability": 0.7486979166666666}, {"start": 597.17, "end": 597.71, "word": " يساوي", "probability": 0.74462890625}, {"start": 597.71, "end": 598.17, "word": " سلب", "probability": 0.6650390625}, {"start": 598.17, "end": 598.87, "word": " أربعة", "probability": 0.76611328125}, {"start": 598.87, "end": 599.81, "word": " TY", "probability": 0.396240234375}, {"start": 599.81, "end": 601.09, "word": " طب", "probability": 0.6884765625}, {"start": 601.09, "end": 601.43, "word": " ممكن", "probability": 0.97900390625}, {"start": 601.43, "end": 601.61, "word": " ما", "probability": 0.62060546875}, {"start": 601.61, "end": 601.91, "word": " يكون", "probability": 0.875244140625}, {"start": 601.91, "end": 602.43, "word": " الشكل", "probability": 0.86474609375}, {"start": 602.43, "end": 602.81, "word": " ممكن", "probability": 0.7237548828125}, {"start": 602.81, "end": 603.13, "word": " يكون", "probability": 0.966552734375}, {"start": 603.13, "end": 603.65, "word": " مفتوح", "probability": 0.9962890625}, {"start": 603.65, "end": 604.01, "word": " ذات", "probability": 0.991943359375}, {"start": 604.01, "end": 604.51, "word": " اليمين", "probability": 0.7459309895833334}, {"start": 604.51, "end": 604.75, "word": " أو", "probability": 0.87158203125}, {"start": 604.75, "end": 605.03, "word": " ذات", "probability": 0.965087890625}, {"start": 605.03, "end": 605.83, "word": " الشمال", "probability": 0.9558919270833334}, {"start": 605.83, "end": 606.73, "word": " يبقى", "probability": 0.9610595703125}, {"start": 606.73, "end": 606.97, "word": " لو", "probability": 0.9716796875}, {"start": 606.97, "end": 607.45, "word": " حصل", "probability": 0.990966796875}, {"start": 607.45, "end": 607.85, "word": " هذا", "probability": 0.95068359375}, {"start": 607.85, "end": 608.21, "word": " بدي", "probability": 0.6312255859375}, {"start": 608.21, "end": 608.47, "word": " يكون", "probability": 0.900390625}, {"start": 608.47, "end": 609.03, "word": " شكل", "probability": 0.943603515625}, {"start": 609.03, "end": 609.27, "word": " ال", "probability": 0.93701171875}, {"start": 609.27, "end": 609.87, "word": " parabola", "probability": 0.7005615234375}, {"start": 609.87, "end": 610.15, "word": " على", "probability": 0.439208984375}, {"start": 610.15, "end": 610.77, "word": " الشكل", "probability": 0.94384765625}, {"start": 610.77, "end": 611.63, "word": " التالي", "probability": 0.9900716145833334}, {"start": 611.63, "end": 612.75, "word": " يبقى", "probability": 0.9808349609375}, {"start": 612.75, "end": 613.03, "word": " هذا", "probability": 0.84228515625}, {"start": 613.03, "end": 613.63, "word": " محور", "probability": 0.9871419270833334}, {"start": 613.63, "end": 614.11, "word": " X", "probability": 0.990234375}, {"start": 614.11, "end": 614.83, "word": " هذا", "probability": 0.548828125}, {"start": 614.83, "end": 615.49, "word": " محور", "probability": 0.99169921875}, {"start": 615.49, "end": 615.89, "word": " Y", "probability": 0.99462890625}, {"start": 615.89, "end": 616.25, "word": " هذه", "probability": 0.81103515625}, {"start": 616.25, "end": 616.79, "word": " نقطة", "probability": 0.98828125}, {"start": 616.79, "end": 617.39, "word": " الأصل", "probability": 0.8798828125}, {"start": 617.39, "end": 618.63, "word": " parabola", "probability": 0.79345703125}, {"start": 618.63, "end": 618.99, "word": " بدي", "probability": 0.94189453125}, {"start": 618.99, "end": 619.43, "word": " يكون", "probability": 0.89892578125}, {"start": 619.43, "end": 620.09, "word": " بالشكل", "probability": 0.9679361979166666}, {"start": 620.09, "end": 620.31, "word": " اللي", "probability": 0.928466796875}, {"start": 620.31, "end": 620.77, "word": " عندنا", "probability": 0.99072265625}, {"start": 620.77, "end": 621.07, "word": " هذا", "probability": 0.352783203125}], "temperature": 1.0}, {"id": 29, "seek": 64349, "start": 622.55, "end": 643.49, "text": "هذا شو معاقبته؟ بدنا نبدل ال X مكان ال Y و ال Y مكان ال X فصير Y تربيه يساوي أربعة P X الشكل لأن هذا، وين ال P بدا تيجي؟ في الداخل، يبقى هذا ال P يبقى هذا P و Zero", "tokens": [3224, 15730, 13412, 2407, 20449, 995, 4587, 3555, 47395, 22807, 47525, 8315, 8717, 44510, 1211, 2423, 1783, 3714, 41361, 2423, 398, 4032, 2423, 398, 3714, 41361, 2423, 1783, 6156, 9381, 13546, 398, 6055, 2288, 21292, 3224, 7251, 3794, 995, 45865, 5551, 25513, 27884, 430, 1783, 25124, 28820, 5296, 33456, 23758, 12399, 4032, 9957, 2423, 430, 4724, 28259, 6055, 1829, 7435, 1829, 22807, 8978, 32748, 47283, 1211, 12399, 7251, 3555, 4587, 7578, 23758, 2423, 430, 7251, 3555, 4587, 7578, 23758, 430, 4032, 17182], "avg_logprob": -0.26675450658223715, "compression_ratio": 1.6625766871165644, "no_speech_prob": 0.0, "words": [{"start": 622.55, "end": 623.01, "word": "هذا", "probability": 0.754150390625}, {"start": 623.01, "end": 623.29, "word": " شو", "probability": 0.6865234375}, {"start": 623.29, "end": 624.29, "word": " معاقبته؟", "probability": 0.7891845703125}, {"start": 624.29, "end": 625.37, "word": " بدنا", "probability": 0.6453857421875}, {"start": 625.37, "end": 625.95, "word": " نبدل", "probability": 0.8868815104166666}, {"start": 625.95, "end": 626.13, "word": " ال", "probability": 0.8583984375}, {"start": 626.13, "end": 626.39, "word": " X", "probability": 0.55908203125}, {"start": 626.39, "end": 626.95, "word": " مكان", "probability": 0.977783203125}, {"start": 626.95, "end": 627.15, "word": " ال", "probability": 0.96142578125}, {"start": 627.15, "end": 627.39, "word": " Y", "probability": 0.9775390625}, {"start": 627.39, "end": 627.55, "word": " و", "probability": 0.517578125}, {"start": 627.55, "end": 627.67, "word": " ال", "probability": 0.61865234375}, {"start": 627.67, "end": 627.85, "word": " Y", "probability": 0.982421875}, {"start": 627.85, "end": 628.33, "word": " مكان", "probability": 0.990966796875}, {"start": 628.33, "end": 628.59, "word": " ال", "probability": 0.974609375}, {"start": 628.59, "end": 628.85, "word": " X", "probability": 0.99560546875}, {"start": 628.85, "end": 629.47, "word": " فصير", "probability": 0.5907389322916666}, {"start": 629.47, "end": 629.99, "word": " Y", "probability": 0.90869140625}, {"start": 629.99, "end": 630.81, "word": " تربيه", "probability": 0.691650390625}, {"start": 630.81, "end": 631.65, "word": " يساوي", "probability": 0.8961181640625}, {"start": 631.65, "end": 632.69, "word": " أربعة", "probability": 0.7596842447916666}, {"start": 632.69, "end": 633.13, "word": " P", "probability": 0.9541015625}, {"start": 633.13, "end": 633.83, "word": " X", "probability": 0.79296875}, {"start": 633.83, "end": 634.71, "word": " الشكل", "probability": 0.5899658203125}, {"start": 634.71, "end": 635.01, "word": " لأن", "probability": 0.4154052734375}, {"start": 635.01, "end": 635.45, "word": " هذا،", "probability": 0.60888671875}, {"start": 635.45, "end": 635.77, "word": " وين", "probability": 0.755615234375}, {"start": 635.77, "end": 635.97, "word": " ال", "probability": 0.9560546875}, {"start": 635.97, "end": 636.17, "word": " P", "probability": 0.99365234375}, {"start": 636.17, "end": 636.47, "word": " بدا", "probability": 0.46435546875}, {"start": 636.47, "end": 637.37, "word": " تيجي؟", "probability": 0.98623046875}, {"start": 637.37, "end": 637.61, "word": " في", "probability": 0.7158203125}, {"start": 637.61, "end": 638.87, "word": " الداخل،", "probability": 0.889404296875}, {"start": 638.87, "end": 639.45, "word": " يبقى", "probability": 0.986083984375}, {"start": 639.45, "end": 639.85, "word": " هذا", "probability": 0.436767578125}, {"start": 639.85, "end": 640.15, "word": " ال", "probability": 0.72900390625}, {"start": 640.15, "end": 640.51, "word": " P", "probability": 0.9951171875}, {"start": 640.51, "end": 641.35, "word": " يبقى", "probability": 0.9464111328125}, {"start": 641.35, "end": 641.75, "word": " هذا", "probability": 0.9306640625}, {"start": 641.75, "end": 642.57, "word": " P", "probability": 0.99169921875}, {"start": 642.57, "end": 643.07, "word": " و", "probability": 0.82763671875}, {"start": 643.07, "end": 643.49, "word": " Zero", "probability": 0.68701171875}], "temperature": 1.0}, {"id": 30, "seek": 67026, "start": 644.42, "end": 670.26, "text": "الـ Directrix دائما هو أبدا عمودي على ال Axis يبقى لو جيت جولت هذا هو ال Directrix البعد هذا جد البعد هذا يبقى هذا هو ال Directrix يبقى معادلته X بدل سوى كده يا شباب سالب P تمام يبقى هذا ال vertex هذا هو ال Axis", "tokens": [6027, 39184, 18308, 6579, 11778, 16373, 15042, 31439, 5551, 3555, 28259, 6225, 2304, 2407, 16254, 15844, 2423, 20118, 271, 7251, 3555, 4587, 7578, 45164, 10874, 36081, 10874, 12610, 2655, 23758, 31439, 2423, 18308, 6579, 29739, 22488, 23758, 10874, 3215, 29739, 22488, 23758, 7251, 3555, 4587, 7578, 23758, 31439, 2423, 18308, 6579, 7251, 3555, 4587, 7578, 20449, 18513, 1211, 47395, 1783, 47525, 1211, 8608, 2407, 7578, 9122, 3215, 3224, 35186, 13412, 3555, 16758, 8608, 6027, 3555, 430, 46811, 10943, 7251, 3555, 4587, 7578, 23758, 2423, 28162, 23758, 31439, 2423, 20118, 271], "avg_logprob": -0.2400412156686678, "compression_ratio": 1.8977272727272727, "no_speech_prob": 0.0, "words": [{"start": 644.42, "end": 644.84, "word": "الـ", "probability": 0.506103515625}, {"start": 644.84, "end": 645.52, "word": " Directrix", "probability": 0.615234375}, {"start": 645.52, "end": 645.98, "word": " دائما", "probability": 0.9202473958333334}, {"start": 645.98, "end": 646.18, "word": " هو", "probability": 0.76318359375}, {"start": 646.18, "end": 646.5, "word": " أبدا", "probability": 0.6461995442708334}, {"start": 646.5, "end": 647.04, "word": " عمودي", "probability": 0.975341796875}, {"start": 647.04, "end": 647.36, "word": " على", "probability": 0.83447265625}, {"start": 647.36, "end": 647.58, "word": " ال", "probability": 0.89208984375}, {"start": 647.58, "end": 648.4, "word": " Axis", "probability": 0.49615478515625}, {"start": 648.4, "end": 649.24, "word": " يبقى", "probability": 0.86962890625}, {"start": 649.24, "end": 649.52, "word": " لو", "probability": 0.87158203125}, {"start": 649.52, "end": 649.96, "word": " جيت", "probability": 0.7193603515625}, {"start": 649.96, "end": 650.5, "word": " جولت", "probability": 0.5555013020833334}, {"start": 650.5, "end": 650.82, "word": " هذا", "probability": 0.81103515625}, {"start": 650.82, "end": 651.2, "word": " هو", "probability": 0.9755859375}, {"start": 651.2, "end": 651.34, "word": " ال", "probability": 0.8896484375}, {"start": 651.34, "end": 652.08, "word": " Directrix", "probability": 0.761962890625}, {"start": 652.08, "end": 652.64, "word": " البعد", "probability": 0.85400390625}, {"start": 652.64, "end": 653.06, "word": " هذا", "probability": 0.87060546875}, {"start": 653.06, "end": 653.44, "word": " جد", "probability": 0.8837890625}, {"start": 653.44, "end": 653.92, "word": " البعد", "probability": 0.9892578125}, {"start": 653.92, "end": 654.28, "word": " هذا", "probability": 0.91162109375}, {"start": 654.28, "end": 654.74, "word": " يبقى", "probability": 0.9677734375}, {"start": 654.74, "end": 655.06, "word": " هذا", "probability": 0.83935546875}, {"start": 655.06, "end": 655.6, "word": " هو", "probability": 0.9912109375}, {"start": 655.6, "end": 655.92, "word": " ال", "probability": 0.9404296875}, {"start": 655.92, "end": 657.92, "word": " Directrix", "probability": 0.841064453125}, {"start": 657.92, "end": 658.94, "word": " يبقى", "probability": 0.9490966796875}, {"start": 658.94, "end": 659.92, "word": " معادلته", "probability": 0.94970703125}, {"start": 659.92, "end": 660.32, "word": " X", "probability": 0.52099609375}, {"start": 660.32, "end": 660.74, "word": " بدل", "probability": 0.454833984375}, {"start": 660.74, "end": 661.0, "word": " سوى", "probability": 0.6767578125}, {"start": 661.0, "end": 661.32, "word": " كده", "probability": 0.8523763020833334}, {"start": 661.32, "end": 661.46, "word": " يا", "probability": 0.30224609375}, {"start": 661.46, "end": 662.0, "word": " شباب", "probability": 0.9905598958333334}, {"start": 662.0, "end": 663.58, "word": " سالب", "probability": 0.7889811197916666}, {"start": 663.58, "end": 664.02, "word": " P", "probability": 0.91064453125}, {"start": 664.02, "end": 664.98, "word": " تمام", "probability": 0.800537109375}, {"start": 664.98, "end": 666.0, "word": " يبقى", "probability": 0.9605712890625}, {"start": 666.0, "end": 666.34, "word": " هذا", "probability": 0.97802734375}, {"start": 666.34, "end": 666.56, "word": " ال", "probability": 0.96728515625}, {"start": 666.56, "end": 667.24, "word": " vertex", "probability": 0.57080078125}, {"start": 667.24, "end": 668.38, "word": " هذا", "probability": 0.9072265625}, {"start": 668.38, "end": 668.8, "word": " هو", "probability": 0.9912109375}, {"start": 668.8, "end": 669.14, "word": " ال", "probability": 0.97705078125}, {"start": 669.14, "end": 670.26, "word": " Axis", "probability": 0.90576171875}], "temperature": 1.0}, {"id": 31, "seek": 68954, "start": 671.22, "end": 689.54, "text": "هذه هي ال focus وهذا هو ال directrix، هذه الأربع شغلات اللي عندنا، الآن لو كان مفتوح جهات الشمال يبقى هذا محور X وهذا محور Y وشكل ال parabola هيكون على الشكل التالي", "tokens": [3224, 24192, 39896, 2423, 1879, 37037, 15730, 31439, 2423, 2047, 6579, 12399, 29538, 16247, 25513, 3615, 13412, 17082, 1211, 9307, 13672, 1829, 43242, 8315, 12399, 6024, 48506, 45164, 25961, 3714, 5172, 2655, 2407, 5016, 10874, 3224, 9307, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 23758, 3714, 5016, 13063, 1783, 37037, 15730, 3714, 5016, 13063, 398, 4032, 8592, 28820, 2423, 45729, 4711, 39896, 30544, 15844, 25124, 28820, 16712, 6027, 1829], "avg_logprob": -0.1953124938266618, "compression_ratio": 1.5542857142857143, "no_speech_prob": 0.0, "words": [{"start": 671.22, "end": 671.88, "word": "هذه", "probability": 0.760498046875}, {"start": 671.88, "end": 672.2, "word": " هي", "probability": 0.814453125}, {"start": 672.2, "end": 672.34, "word": " ال", "probability": 0.74267578125}, {"start": 672.34, "end": 673.0, "word": " focus", "probability": 0.72021484375}, {"start": 673.0, "end": 673.9, "word": " وهذا", "probability": 0.65625}, {"start": 673.9, "end": 674.18, "word": " هو", "probability": 0.86572265625}, {"start": 674.18, "end": 674.36, "word": " ال", "probability": 0.8642578125}, {"start": 674.36, "end": 675.2, "word": " directrix،", "probability": 0.5118611653645834}, {"start": 675.2, "end": 675.42, "word": " هذه", "probability": 0.5859375}, {"start": 675.42, "end": 675.82, "word": " الأربع", "probability": 0.8740234375}, {"start": 675.82, "end": 676.34, "word": " شغلات", "probability": 0.9381103515625}, {"start": 676.34, "end": 676.5, "word": " اللي", "probability": 0.860107421875}, {"start": 676.5, "end": 677.46, "word": " عندنا،", "probability": 0.6769205729166666}, {"start": 677.46, "end": 678.1, "word": " الآن", "probability": 0.6368408203125}, {"start": 678.1, "end": 678.9, "word": " لو", "probability": 0.85302734375}, {"start": 678.9, "end": 679.52, "word": " كان", "probability": 0.9951171875}, {"start": 679.52, "end": 680.42, "word": " مفتوح", "probability": 0.99716796875}, {"start": 680.42, "end": 680.98, "word": " جهات", "probability": 0.9401041666666666}, {"start": 680.98, "end": 681.66, "word": " الشمال", "probability": 0.9903971354166666}, {"start": 681.66, "end": 682.42, "word": " يبقى", "probability": 0.828369140625}, {"start": 682.42, "end": 682.68, "word": " هذا", "probability": 0.6748046875}, {"start": 682.68, "end": 683.22, "word": " محور", "probability": 0.9869791666666666}, {"start": 683.22, "end": 683.56, "word": " X", "probability": 0.72900390625}, {"start": 683.56, "end": 684.06, "word": " وهذا", "probability": 0.921142578125}, {"start": 684.06, "end": 684.62, "word": " محور", "probability": 0.98095703125}, {"start": 684.62, "end": 685.02, "word": " Y", "probability": 0.9931640625}, {"start": 685.02, "end": 686.18, "word": " وشكل", "probability": 0.8543294270833334}, {"start": 686.18, "end": 686.42, "word": " ال", "probability": 0.9306640625}, {"start": 686.42, "end": 687.02, "word": " parabola", "probability": 0.79345703125}, {"start": 687.02, "end": 687.62, "word": " هيكون", "probability": 0.829833984375}, {"start": 687.62, "end": 687.88, "word": " على", "probability": 0.9404296875}, {"start": 687.88, "end": 688.58, "word": " الشكل", "probability": 0.963623046875}, {"start": 688.58, "end": 689.54, "word": " التالي", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 32, "seek": 70677, "start": 691.69, "end": 706.77, "text": "يبقى هذا معدد نفسي اللي فوق Y تربيع سالب أربعة P X يبقى ال focus اللي تيجي في الداخل هنا يبقى بالصينة إحداثي تبعها سالب P و Zero", "tokens": [1829, 3555, 4587, 7578, 23758, 20449, 3215, 3215, 8717, 36178, 1829, 13672, 1829, 6156, 30543, 398, 6055, 2288, 21292, 3615, 8608, 6027, 3555, 5551, 25513, 27884, 430, 1783, 7251, 3555, 4587, 7578, 2423, 1879, 13672, 1829, 6055, 1829, 7435, 1829, 8978, 32748, 47283, 1211, 34105, 7251, 3555, 4587, 7578, 20666, 9381, 9957, 3660, 11933, 24401, 5718, 104, 1829, 6055, 3555, 3615, 11296, 8608, 6027, 3555, 430, 4032, 17182], "avg_logprob": -0.2281476440637008, "compression_ratio": 1.4794520547945205, "no_speech_prob": 0.0, "words": [{"start": 691.69, "end": 692.29, "word": "يبقى", "probability": 0.8568115234375}, {"start": 692.29, "end": 692.55, "word": " هذا", "probability": 0.8173828125}, {"start": 692.55, "end": 693.15, "word": " معدد", "probability": 0.8401692708333334}, {"start": 693.15, "end": 693.73, "word": " نفسي", "probability": 0.8185221354166666}, {"start": 693.73, "end": 693.91, "word": " اللي", "probability": 0.8916015625}, {"start": 693.91, "end": 694.45, "word": " فوق", "probability": 0.96337890625}, {"start": 694.45, "end": 695.19, "word": " Y", "probability": 0.415283203125}, {"start": 695.19, "end": 696.13, "word": " تربيع", "probability": 0.822998046875}, {"start": 696.13, "end": 697.13, "word": " سالب", "probability": 0.86962890625}, {"start": 697.13, "end": 697.99, "word": " أربعة", "probability": 0.7992350260416666}, {"start": 697.99, "end": 698.39, "word": " P", "probability": 0.9580078125}, {"start": 698.39, "end": 699.01, "word": " X", "probability": 0.55322265625}, {"start": 699.01, "end": 699.95, "word": " يبقى", "probability": 0.885009765625}, {"start": 699.95, "end": 700.07, "word": " ال", "probability": 0.91748046875}, {"start": 700.07, "end": 700.51, "word": " focus", "probability": 0.9599609375}, {"start": 700.51, "end": 700.79, "word": " اللي", "probability": 0.57391357421875}, {"start": 700.79, "end": 701.23, "word": " تيجي", "probability": 0.7879638671875}, {"start": 701.23, "end": 701.37, "word": " في", "probability": 0.8583984375}, {"start": 701.37, "end": 702.11, "word": " الداخل", "probability": 0.9879557291666666}, {"start": 702.11, "end": 702.57, "word": " هنا", "probability": 0.966796875}, {"start": 702.57, "end": 703.35, "word": " يبقى", "probability": 0.9166259765625}, {"start": 703.35, "end": 703.81, "word": " بالصينة", "probability": 0.5009765625}, {"start": 703.81, "end": 704.31, "word": " إحداثي", "probability": 0.784765625}, {"start": 704.31, "end": 704.97, "word": " تبعها", "probability": 0.946044921875}, {"start": 704.97, "end": 705.79, "word": " سالب", "probability": 0.9501953125}, {"start": 705.79, "end": 706.19, "word": " P", "probability": 0.96728515625}, {"start": 706.19, "end": 706.45, "word": " و", "probability": 0.759765625}, {"start": 706.45, "end": 706.77, "word": " Zero", "probability": 0.75146484375}], "temperature": 1.0}, {"id": 33, "seek": 72478, "start": 707.36, "end": 724.78, "text": "الـ vertex لم تتغير في الحالات الأربعة، دلت هي ال origin هذا هو ال axis، تمام؟ يبقى vertex، focus، axis، بقى ال directrix عمودي على ال axis", "tokens": [6027, 39184, 28162, 32767, 6055, 2655, 17082, 13546, 8978, 21542, 6027, 9307, 16247, 25513, 27884, 12399, 11778, 1211, 2655, 39896, 2423, 4957, 23758, 31439, 2423, 10298, 12399, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 28162, 12399, 1879, 12399, 10298, 12399, 4724, 4587, 7578, 2423, 2047, 6579, 6225, 2304, 2407, 16254, 15844, 2423, 10298], "avg_logprob": -0.2537615867676558, "compression_ratio": 1.4054054054054055, "no_speech_prob": 0.0, "words": [{"start": 707.36, "end": 707.88, "word": "الـ", "probability": 0.4940185546875}, {"start": 707.88, "end": 708.42, "word": " vertex", "probability": 0.69775390625}, {"start": 708.42, "end": 708.86, "word": " لم", "probability": 0.9189453125}, {"start": 708.86, "end": 709.74, "word": " تتغير", "probability": 0.9918212890625}, {"start": 709.74, "end": 709.92, "word": " في", "probability": 0.90625}, {"start": 709.92, "end": 710.68, "word": " الحالات", "probability": 0.9431966145833334}, {"start": 710.68, "end": 711.68, "word": " الأربعة،", "probability": 0.8436279296875}, {"start": 711.68, "end": 712.08, "word": " دلت", "probability": 0.5937906901041666}, {"start": 712.08, "end": 712.34, "word": " هي", "probability": 0.8994140625}, {"start": 712.34, "end": 712.52, "word": " ال", "probability": 0.958984375}, {"start": 712.52, "end": 713.1, "word": " origin", "probability": 0.65283203125}, {"start": 713.1, "end": 714.32, "word": " هذا", "probability": 0.453125}, {"start": 714.32, "end": 714.72, "word": " هو", "probability": 0.98095703125}, {"start": 714.72, "end": 714.96, "word": " ال", "probability": 0.984375}, {"start": 714.96, "end": 716.6, "word": " axis،", "probability": 0.55487060546875}, {"start": 716.6, "end": 717.62, "word": " تمام؟", "probability": 0.762451171875}, {"start": 717.62, "end": 718.22, "word": " يبقى", "probability": 0.9549560546875}, {"start": 718.22, "end": 719.3, "word": " vertex،", "probability": 0.51904296875}, {"start": 719.3, "end": 720.64, "word": " focus،", "probability": 0.826416015625}, {"start": 720.64, "end": 721.66, "word": " axis،", "probability": 0.87841796875}, {"start": 721.66, "end": 722.18, "word": " بقى", "probability": 0.7696940104166666}, {"start": 722.18, "end": 722.34, "word": " ال", "probability": 0.96630859375}, {"start": 722.34, "end": 723.2, "word": " directrix", "probability": 0.6871337890625}, {"start": 723.2, "end": 723.78, "word": " عمودي", "probability": 0.982421875}, {"start": 723.78, "end": 724.02, "word": " على", "probability": 0.83740234375}, {"start": 724.02, "end": 724.22, "word": " ال", "probability": 0.98779296875}, {"start": 724.22, "end": 724.78, "word": " axis", "probability": 0.89404296875}], "temperature": 1.0}, {"id": 34, "seek": 74130, "start": 725.22, "end": 741.3, "text": "يبقى بالشكل اللي عنده هذا ويبعد عنه مثل بُعد ال vertex مثل بُعد ال focus عن ال vertex يبقى المعادلة هذه معادلة x يساوي جداش x يساوي P", "tokens": [1829, 3555, 4587, 7578, 20666, 8592, 28820, 13672, 1829, 43242, 3224, 23758, 4032, 1829, 3555, 22488, 18871, 3224, 50113, 1211, 4724, 10859, 22488, 2423, 28162, 50113, 1211, 4724, 10859, 22488, 2423, 1879, 18871, 2423, 28162, 7251, 3555, 4587, 7578, 9673, 3615, 18513, 37977, 29538, 20449, 18513, 37977, 2031, 7251, 3794, 995, 45865, 10874, 3215, 33599, 2031, 7251, 3794, 995, 45865, 430], "avg_logprob": -0.24848790755195002, "compression_ratio": 1.6717557251908397, "no_speech_prob": 0.0, "words": [{"start": 725.22, "end": 725.74, "word": "يبقى", "probability": 0.8179931640625}, {"start": 725.74, "end": 726.28, "word": " بالشكل", "probability": 0.9280598958333334}, {"start": 726.28, "end": 726.5, "word": " اللي", "probability": 0.884033203125}, {"start": 726.5, "end": 726.96, "word": " عنده", "probability": 0.6292724609375}, {"start": 726.96, "end": 727.34, "word": " هذا", "probability": 0.8740234375}, {"start": 727.34, "end": 728.58, "word": " ويبعد", "probability": 0.8988037109375}, {"start": 728.58, "end": 729.24, "word": " عنه", "probability": 0.9755859375}, {"start": 729.24, "end": 730.18, "word": " مثل", "probability": 0.962158203125}, {"start": 730.18, "end": 730.46, "word": " بُعد", "probability": 0.42132568359375}, {"start": 730.46, "end": 730.86, "word": " ال", "probability": 0.859375}, {"start": 730.86, "end": 731.68, "word": " vertex", "probability": 0.444091796875}, {"start": 731.68, "end": 732.48, "word": " مثل", "probability": 0.884521484375}, {"start": 732.48, "end": 732.82, "word": " بُعد", "probability": 0.9381510416666666}, {"start": 732.82, "end": 732.98, "word": " ال", "probability": 0.93017578125}, {"start": 732.98, "end": 733.44, "word": " focus", "probability": 0.982421875}, {"start": 733.44, "end": 733.76, "word": " عن", "probability": 0.94677734375}, {"start": 733.76, "end": 733.94, "word": " ال", "probability": 0.990234375}, {"start": 733.94, "end": 734.5, "word": " vertex", "probability": 0.88525390625}, {"start": 734.5, "end": 735.32, "word": " يبقى", "probability": 0.9432373046875}, {"start": 735.32, "end": 736.1, "word": " المعادلة", "probability": 0.9788818359375}, {"start": 736.1, "end": 736.5, "word": " هذه", "probability": 0.76416015625}, {"start": 736.5, "end": 737.24, "word": " معادلة", "probability": 0.8935546875}, {"start": 737.24, "end": 737.58, "word": " x", "probability": 0.69970703125}, {"start": 737.58, "end": 738.12, "word": " يساوي", "probability": 0.8729248046875}, {"start": 738.12, "end": 738.86, "word": " جداش", "probability": 0.6053873697916666}, {"start": 738.86, "end": 739.62, "word": " x", "probability": 0.1468505859375}, {"start": 739.62, "end": 740.88, "word": " يساوي", "probability": 0.973388671875}, {"start": 740.88, "end": 741.3, "word": " P", "probability": 0.6318359375}], "temperature": 1.0}, {"id": 35, "seek": 76224, "start": 743.48, "end": 762.24, "text": "أول شيء ال axis ينصف ال parabola إلى نصفين. هذه النقطة الأولى. النقطة الثانية ال directrix دائما هو أقل عمودي على مين؟ على ال axis.نما تلاتة لا يمكن لل directrix أن يقطع مين؟", "tokens": [10721, 12610, 44049, 38207, 2423, 10298, 7251, 1863, 9381, 5172, 2423, 45729, 4711, 30731, 8717, 9381, 5172, 9957, 13, 29538, 28239, 47432, 3660, 16247, 12610, 7578, 13, 28239, 47432, 3660, 6024, 104, 7649, 10632, 2423, 2047, 6579, 11778, 16373, 15042, 31439, 5551, 4587, 1211, 6225, 2304, 2407, 16254, 15844, 3714, 9957, 22807, 15844, 2423, 10298, 13, 1863, 15042, 6055, 1211, 9307, 3660, 20193, 7251, 43020, 24976, 2047, 6579, 14739, 7251, 47432, 3615, 3714, 9957, 22807], "avg_logprob": -0.31846217615039724, "compression_ratio": 1.603448275862069, "no_speech_prob": 0.0, "words": [{"start": 743.48, "end": 743.96, "word": "أول", "probability": 0.6407470703125}, {"start": 743.96, "end": 744.88, "word": " شيء", "probability": 0.68310546875}, {"start": 744.88, "end": 745.12, "word": " ال", "probability": 0.67919921875}, {"start": 745.12, "end": 745.62, "word": " axis", "probability": 0.443603515625}, {"start": 745.62, "end": 746.48, "word": " ينصف", "probability": 0.83697509765625}, {"start": 746.48, "end": 747.08, "word": " ال", "probability": 0.92822265625}, {"start": 747.08, "end": 748.24, "word": " parabola", "probability": 0.926025390625}, {"start": 748.24, "end": 748.54, "word": " إلى", "probability": 0.72265625}, {"start": 748.54, "end": 749.4, "word": " نصفين.", "probability": 0.9720458984375}, {"start": 749.84, "end": 750.2, "word": " هذه", "probability": 0.43994140625}, {"start": 750.2, "end": 750.64, "word": " النقطة", "probability": 0.9261067708333334}, {"start": 750.64, "end": 751.02, "word": " الأولى.", "probability": 0.9298502604166666}, {"start": 751.36, "end": 752.0, "word": " النقطة", "probability": 0.9638671875}, {"start": 752.0, "end": 752.42, "word": " الثانية", "probability": 0.9627685546875}, {"start": 752.42, "end": 752.64, "word": " ال", "probability": 0.79736328125}, {"start": 752.64, "end": 753.68, "word": " directrix", "probability": 0.776123046875}, {"start": 753.68, "end": 754.12, "word": " دائما", "probability": 0.9169921875}, {"start": 754.12, "end": 754.32, "word": " هو", "probability": 0.77734375}, {"start": 754.32, "end": 754.56, "word": " أقل", "probability": 0.5924072265625}, {"start": 754.56, "end": 755.04, "word": " عمودي", "probability": 0.880615234375}, {"start": 755.04, "end": 755.24, "word": " على", "probability": 0.7470703125}, {"start": 755.24, "end": 756.06, "word": " مين؟", "probability": 0.6986490885416666}, {"start": 756.06, "end": 756.28, "word": " على", "probability": 0.74609375}, {"start": 756.28, "end": 756.48, "word": " ال", "probability": 0.167236328125}, {"start": 756.48, "end": 756.88, "word": " axis", "probability": 0.8203125}, {"start": 756.88, "end": 757.78, "word": ".نما", "probability": 0.4976399739583333}, {"start": 757.78, "end": 758.64, "word": " تلاتة", "probability": 0.7900390625}, {"start": 758.64, "end": 758.84, "word": " لا", "probability": 0.492919921875}, {"start": 758.84, "end": 759.6, "word": " يمكن", "probability": 0.909423828125}, {"start": 759.6, "end": 759.94, "word": " لل", "probability": 0.81884765625}, {"start": 759.94, "end": 760.62, "word": " directrix", "probability": 0.82275390625}, {"start": 760.62, "end": 760.86, "word": " أن", "probability": 0.51513671875}, {"start": 760.86, "end": 761.38, "word": " يقطع", "probability": 0.9353841145833334}, {"start": 761.38, "end": 762.24, "word": " مين؟", "probability": 0.7900390625}], "temperature": 1.0}, {"id": 36, "seek": 78566, "start": 762.26, "end": 785.66, "text": "يقطع البرابولة دايما وابدا منه برة، طلع، هي هنا تحت، هنا فوق، هنا على الشمال، هنا على اليمين، ولا مرة قطع من المنحنى ولا يقطع في يوم ليوم الداركس دايما وابدا ماله بيكون برة حسب ال definition اللي قلناها البرابولة هو المحل الهندسي لنقطة تتعرك في ال plane", "tokens": [1829, 47432, 3615, 2423, 26890, 16758, 12610, 3660, 11778, 47302, 15042, 4032, 16758, 28259, 9154, 3224, 4724, 25720, 12399, 23032, 1211, 3615, 12399, 39896, 34105, 6055, 33753, 12399, 34105, 6156, 30543, 12399, 34105, 15844, 25124, 2304, 6027, 12399, 34105, 15844, 2423, 32640, 9957, 12399, 49429, 3714, 25720, 12174, 9566, 3615, 9154, 9673, 1863, 5016, 1863, 7578, 49429, 7251, 47432, 3615, 8978, 7251, 20498, 32239, 20498, 32748, 9640, 4117, 3794, 11778, 47302, 15042, 4032, 16758, 28259, 3714, 6027, 3224, 4724, 1829, 30544, 4724, 25720, 11331, 35457, 2423, 7123, 13672, 1829, 12174, 1211, 8315, 11296, 2423, 26890, 16758, 12610, 3660, 31439, 9673, 5016, 1211, 2423, 3224, 41260, 3794, 1829, 5296, 1863, 47432, 3660, 6055, 2655, 3615, 31747, 8978, 2423, 5720], "avg_logprob": -0.2605041901604468, "compression_ratio": 1.9733333333333334, "no_speech_prob": 0.0, "words": [{"start": 762.26, "end": 762.82, "word": "يقطع", "probability": 0.6982421875}, {"start": 762.82, "end": 763.48, "word": " البرابولة", "probability": 0.673486328125}, {"start": 763.48, "end": 763.78, "word": " دايما", "probability": 0.7431640625}, {"start": 763.78, "end": 764.22, "word": " وابدا", "probability": 0.8409830729166666}, {"start": 764.22, "end": 764.7, "word": " منه", "probability": 0.966796875}, {"start": 764.7, "end": 765.28, "word": " برة،", "probability": 0.580078125}, {"start": 765.28, "end": 766.42, "word": " طلع،", "probability": 0.66302490234375}, {"start": 766.42, "end": 766.7, "word": " هي", "probability": 0.1929931640625}, {"start": 766.7, "end": 767.04, "word": " هنا", "probability": 0.4638671875}, {"start": 767.04, "end": 767.94, "word": " تحت،", "probability": 0.9427083333333334}, {"start": 767.94, "end": 768.14, "word": " هنا", "probability": 0.96435546875}, {"start": 768.14, "end": 769.12, "word": " فوق،", "probability": 0.7539876302083334}, {"start": 769.12, "end": 769.38, "word": " هنا", "probability": 0.98828125}, {"start": 769.38, "end": 769.58, "word": " على", "probability": 0.82958984375}, {"start": 769.58, "end": 770.4, "word": " الشمال،", "probability": 0.9765625}, {"start": 770.4, "end": 770.64, "word": " هنا", "probability": 0.98486328125}, {"start": 770.64, "end": 770.84, "word": " على", "probability": 0.89892578125}, {"start": 770.84, "end": 771.22, "word": " اليمين،", "probability": 0.7381591796875}, {"start": 771.22, "end": 771.54, "word": " ولا", "probability": 0.89892578125}, {"start": 771.54, "end": 772.14, "word": " مرة", "probability": 0.92041015625}, {"start": 772.14, "end": 772.68, "word": " قطع", "probability": 0.9405924479166666}, {"start": 772.68, "end": 772.9, "word": " من", "probability": 0.86279296875}, {"start": 772.9, "end": 773.98, "word": " المنحنى", "probability": 0.7953125}, {"start": 773.98, "end": 774.66, "word": " ولا", "probability": 0.407958984375}, {"start": 774.66, "end": 775.3, "word": " يقطع", "probability": 0.87451171875}, {"start": 775.3, "end": 775.54, "word": " في", "probability": 0.62255859375}, {"start": 775.54, "end": 775.9, "word": " يوم", "probability": 0.978271484375}, {"start": 775.9, "end": 776.34, "word": " ليوم", "probability": 0.392822265625}, {"start": 776.34, "end": 776.92, "word": " الداركس", "probability": 0.73382568359375}, {"start": 776.92, "end": 777.2, "word": " دايما", "probability": 0.83935546875}, {"start": 777.2, "end": 777.56, "word": " وابدا", "probability": 0.9443359375}, {"start": 777.56, "end": 778.02, "word": " ماله", "probability": 0.8123372395833334}, {"start": 778.02, "end": 778.78, "word": " بيكون", "probability": 0.7616373697916666}, {"start": 778.78, "end": 779.08, "word": " برة", "probability": 0.9658203125}, {"start": 779.08, "end": 779.54, "word": " حسب", "probability": 0.83154296875}, {"start": 779.54, "end": 779.72, "word": " ال", "probability": 0.87353515625}, {"start": 779.72, "end": 780.12, "word": " definition", "probability": 0.62109375}, {"start": 780.12, "end": 780.44, "word": " اللي", "probability": 0.917724609375}, {"start": 780.44, "end": 781.52, "word": " قلناها", "probability": 0.797119140625}, {"start": 781.52, "end": 782.36, "word": " البرابولة", "probability": 0.8939453125}, {"start": 782.36, "end": 782.54, "word": " هو", "probability": 0.89306640625}, {"start": 782.54, "end": 783.1, "word": " المحل", "probability": 0.9850260416666666}, {"start": 783.1, "end": 783.74, "word": " الهندسي", "probability": 0.99267578125}, {"start": 783.74, "end": 784.26, "word": " لنقطة", "probability": 0.7279052734375}, {"start": 784.26, "end": 784.8, "word": " تتعرك", "probability": 0.755615234375}, {"start": 784.8, "end": 785.02, "word": " في", "probability": 0.978515625}, {"start": 785.02, "end": 785.2, "word": " ال", "probability": 0.76416015625}, {"start": 785.2, "end": 785.66, "word": " plane", "probability": 0.450439453125}], "temperature": 1.0}, {"id": 37, "seek": 81029, "start": 785.93, "end": 810.29, "text": "بقى تكون بُعدها على نقطة ثابتة ليه ال focus يساوي نفس بُعدها على المستقيم الثابت اللي همان ال directrix هذا كل جزء النظر اللي يتعلق بمان بالparabola بقيت نقطة واحدة لو عملنا له shift إزاحة إيش بتكون شكل المعادلة في الحالة الأولى أو في الحالات التانية", "tokens": [3555, 4587, 7578, 6055, 30544, 4724, 10859, 22488, 11296, 15844, 8717, 47432, 3660, 38637, 16758, 2655, 3660, 32239, 3224, 2423, 1879, 7251, 3794, 995, 45865, 8717, 36178, 4724, 10859, 22488, 11296, 15844, 9673, 14851, 4587, 32640, 6024, 104, 16758, 2655, 13672, 1829, 8032, 2304, 7649, 2423, 2047, 6579, 23758, 28242, 10874, 11622, 38207, 28239, 19913, 2288, 13672, 1829, 7251, 2655, 30241, 4587, 4724, 2304, 7649, 20666, 2181, 455, 4711, 4724, 4587, 36081, 8717, 47432, 3660, 36764, 24401, 3660, 45164, 6225, 42213, 8315, 46740, 5513, 11933, 11622, 39319, 3660, 11933, 1829, 8592, 39894, 30544, 13412, 28820, 9673, 3615, 18513, 37977, 8978, 21542, 6027, 3660, 16247, 12610, 7578, 34051, 8978, 21542, 6027, 9307, 16712, 7649, 10632], "avg_logprob": -0.20543478183124375, "compression_ratio": 1.7398373983739837, "no_speech_prob": 0.0, "words": [{"start": 785.93, "end": 786.33, "word": "بقى", "probability": 0.5094401041666666}, {"start": 786.33, "end": 786.67, "word": " تكون", "probability": 0.777099609375}, {"start": 786.67, "end": 787.13, "word": " بُعدها", "probability": 0.6790771484375}, {"start": 787.13, "end": 787.35, "word": " على", "probability": 0.5439453125}, {"start": 787.35, "end": 787.79, "word": " نقطة", "probability": 0.9436848958333334}, {"start": 787.79, "end": 788.39, "word": " ثابتة", "probability": 0.964111328125}, {"start": 788.39, "end": 788.61, "word": " ليه", "probability": 0.474609375}, {"start": 788.61, "end": 788.69, "word": " ال", "probability": 0.9111328125}, {"start": 788.69, "end": 789.23, "word": " focus", "probability": 0.767578125}, {"start": 789.23, "end": 790.09, "word": " يساوي", "probability": 0.7705078125}, {"start": 790.09, "end": 790.37, "word": " نفس", "probability": 0.988037109375}, {"start": 790.37, "end": 790.79, "word": " بُعدها", "probability": 0.9132080078125}, {"start": 790.79, "end": 790.89, "word": " على", "probability": 0.9013671875}, {"start": 790.89, "end": 791.45, "word": " المستقيم", "probability": 0.9332275390625}, {"start": 791.45, "end": 791.93, "word": " الثابت", "probability": 0.8824462890625}, {"start": 791.93, "end": 792.09, "word": " اللي", "probability": 0.841796875}, {"start": 792.09, "end": 792.69, "word": " همان", "probability": 0.613037109375}, {"start": 792.69, "end": 793.37, "word": " ال", "probability": 0.9091796875}, {"start": 793.37, "end": 794.95, "word": " directrix", "probability": 0.6292724609375}, {"start": 794.95, "end": 795.81, "word": " هذا", "probability": 0.6630859375}, {"start": 795.81, "end": 796.25, "word": " كل", "probability": 0.947265625}, {"start": 796.25, "end": 796.65, "word": " جزء", "probability": 0.829345703125}, {"start": 796.65, "end": 797.15, "word": " النظر", "probability": 0.9806315104166666}, {"start": 797.15, "end": 797.45, "word": " اللي", "probability": 0.783935546875}, {"start": 797.45, "end": 798.19, "word": " يتعلق", "probability": 0.9736328125}, {"start": 798.19, "end": 798.79, "word": " بمان", "probability": 0.7410481770833334}, {"start": 798.79, "end": 799.93, "word": " بالparabola", "probability": 0.67572021484375}, {"start": 799.93, "end": 800.51, "word": " بقيت", "probability": 0.890625}, {"start": 800.51, "end": 801.05, "word": " نقطة", "probability": 0.978515625}, {"start": 801.05, "end": 801.81, "word": " واحدة", "probability": 0.9938151041666666}, {"start": 801.81, "end": 802.27, "word": " لو", "probability": 0.955078125}, {"start": 802.27, "end": 802.85, "word": " عملنا", "probability": 0.9140625}, {"start": 802.85, "end": 803.05, "word": " له", "probability": 0.63525390625}, {"start": 803.05, "end": 803.67, "word": " shift", "probability": 0.90625}, {"start": 803.67, "end": 804.79, "word": " إزاحة", "probability": 0.81365966796875}, {"start": 804.79, "end": 805.37, "word": " إيش", "probability": 0.7850748697916666}, {"start": 805.37, "end": 805.85, "word": " بتكون", "probability": 0.6663818359375}, {"start": 805.85, "end": 806.43, "word": " شكل", "probability": 0.988037109375}, {"start": 806.43, "end": 807.25, "word": " المعادلة", "probability": 0.9908447265625}, {"start": 807.25, "end": 807.41, "word": " في", "probability": 0.8662109375}, {"start": 807.41, "end": 807.91, "word": " الحالة", "probability": 0.9817708333333334}, {"start": 807.91, "end": 808.49, "word": " الأولى", "probability": 0.986328125}, {"start": 808.49, "end": 809.01, "word": " أو", "probability": 0.78369140625}, {"start": 809.01, "end": 809.17, "word": " في", "probability": 0.9365234375}, {"start": 809.17, "end": 809.87, "word": " الحالات", "probability": 0.9817708333333334}, {"start": 809.87, "end": 810.29, "word": " التانية", "probability": 0.94482421875}], "temperature": 1.0}, {"id": 38, "seek": 83761, "start": 810.69, "end": 837.61, "text": "كيف ال shift؟ قداش احداتي ال vertex هنا؟ Zero Zero، بده أبطل أخليه Zero Zero، بده أخليه H و K فبجي بقول هنا، if the vertex of the طرابلة is H و K", "tokens": [4117, 33911, 2423, 5513, 22807, 12174, 3215, 33599, 1975, 24401, 9307, 1829, 2423, 28162, 34105, 22807, 17182, 17182, 12399, 47525, 3224, 5551, 3555, 9566, 1211, 5551, 9778, 20292, 3224, 17182, 17182, 12399, 47525, 3224, 5551, 9778, 20292, 3224, 389, 4032, 591, 6156, 3555, 7435, 1829, 4724, 39648, 34105, 12399, 498, 264, 28162, 295, 264, 23032, 2288, 16758, 37977, 307, 389, 4032, 591], "avg_logprob": -0.42708332198006765, "compression_ratio": 1.4513888888888888, "no_speech_prob": 0.0, "words": [{"start": 810.69, "end": 811.11, "word": "كيف", "probability": 0.665283203125}, {"start": 811.11, "end": 811.31, "word": " ال", "probability": 0.47119140625}, {"start": 811.31, "end": 812.01, "word": " shift؟", "probability": 0.621826171875}, {"start": 812.01, "end": 812.37, "word": " قداش", "probability": 0.5108235677083334}, {"start": 812.37, "end": 812.85, "word": " احداتي", "probability": 0.6417236328125}, {"start": 812.85, "end": 812.99, "word": " ال", "probability": 0.951171875}, {"start": 812.99, "end": 813.35, "word": " vertex", "probability": 0.74169921875}, {"start": 813.35, "end": 814.15, "word": " هنا؟", "probability": 0.664306640625}, {"start": 814.15, "end": 814.31, "word": " Zero", "probability": 0.302734375}, {"start": 814.31, "end": 815.71, "word": " Zero،", "probability": 0.3592529296875}, {"start": 815.71, "end": 815.91, "word": " بده", "probability": 0.3087158203125}, {"start": 815.91, "end": 816.31, "word": " أبطل", "probability": 0.7615966796875}, {"start": 816.31, "end": 816.81, "word": " أخليه", "probability": 0.7982177734375}, {"start": 816.81, "end": 817.09, "word": " Zero", "probability": 0.78369140625}, {"start": 817.09, "end": 817.79, "word": " Zero،", "probability": 0.7734375}, {"start": 817.79, "end": 818.03, "word": " بده", "probability": 0.8564453125}, {"start": 818.03, "end": 818.45, "word": " أخليه", "probability": 0.9468994140625}, {"start": 818.45, "end": 818.79, "word": " H", "probability": 0.9208984375}, {"start": 818.79, "end": 819.11, "word": " و", "probability": 0.8955078125}, {"start": 819.11, "end": 819.41, "word": " K", "probability": 0.71240234375}, {"start": 819.41, "end": 820.41, "word": " فبجي", "probability": 0.667236328125}, {"start": 820.41, "end": 820.89, "word": " بقول", "probability": 0.951171875}, {"start": 820.89, "end": 821.97, "word": " هنا،", "probability": 0.62060546875}, {"start": 821.97, "end": 821.97, "word": " if", "probability": 0.6064453125}, {"start": 821.97, "end": 826.09, "word": " the", "probability": 0.7705078125}, {"start": 826.09, "end": 828.37, "word": " vertex", "probability": 0.9228515625}, {"start": 828.37, "end": 830.39, "word": " of", "probability": 0.98388671875}, {"start": 830.39, "end": 831.53, "word": " the", "probability": 0.91259765625}, {"start": 831.53, "end": 833.63, "word": " طرابلة", "probability": 0.52984619140625}, {"start": 833.63, "end": 835.27, "word": " is", "probability": 0.888671875}, {"start": 835.27, "end": 836.81, "word": " H", "probability": 0.9345703125}, {"start": 836.81, "end": 837.31, "word": " و", "probability": 0.95458984375}, {"start": 837.31, "end": 837.61, "word": " K", "probability": 0.82275390625}], "temperature": 1.0}, {"id": 39, "seek": 85835, "start": 843.11, "end": 858.35, "text": "نمسك المعادلة الأولى يبقى x ناقص h لكل تربية يسوى أربعة في y ناقص k طبعا بالزائد أو بالناقص", "tokens": [1863, 2304, 3794, 4117, 9673, 3615, 18513, 37977, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 2031, 8717, 995, 4587, 9381, 276, 5296, 28820, 6055, 25513, 10632, 7251, 3794, 2407, 7578, 5551, 25513, 27884, 8978, 288, 8717, 995, 4587, 9381, 350, 23032, 3555, 3615, 995, 20666, 11622, 16373, 3215, 34051, 20666, 8315, 4587, 9381], "avg_logprob": -0.2261284738779068, "compression_ratio": 1.4035087719298245, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 843.11, "end": 844.51, "word": "نمسك", "probability": 0.6124267578125}, {"start": 844.51, "end": 845.19, "word": " المعادلة", "probability": 0.9329833984375}, {"start": 845.19, "end": 845.77, "word": " الأولى", "probability": 0.7876790364583334}, {"start": 845.77, "end": 847.01, "word": " يبقى", "probability": 0.9390869140625}, {"start": 847.01, "end": 847.51, "word": " x", "probability": 0.59619140625}, {"start": 847.51, "end": 848.31, "word": " ناقص", "probability": 0.82708740234375}, {"start": 848.31, "end": 848.75, "word": " h", "probability": 0.8349609375}, {"start": 848.75, "end": 849.41, "word": " لكل", "probability": 0.927490234375}, {"start": 849.41, "end": 850.09, "word": " تربية", "probability": 0.8108723958333334}, {"start": 850.09, "end": 851.19, "word": " يسوى", "probability": 0.83984375}, {"start": 851.19, "end": 851.89, "word": " أربعة", "probability": 0.794921875}, {"start": 851.89, "end": 852.13, "word": " في", "probability": 0.97802734375}, {"start": 852.13, "end": 853.47, "word": " y", "probability": 0.5185546875}, {"start": 853.47, "end": 854.45, "word": " ناقص", "probability": 0.9886474609375}, {"start": 854.45, "end": 854.83, "word": " k", "probability": 0.55029296875}, {"start": 854.83, "end": 855.95, "word": " طبعا", "probability": 0.83843994140625}, {"start": 855.95, "end": 856.89, "word": " بالزائد", "probability": 0.9615478515625}, {"start": 856.89, "end": 857.25, "word": " أو", "probability": 0.7861328125}, {"start": 857.25, "end": 858.35, "word": " بالناقص", "probability": 0.9068603515625}], "temperature": 1.0}, {"id": 40, "seek": 89094, "start": 861.96, "end": 890.94, "text": "الحالة التانية اللي هو ال Y ناقص K لكل تربية يسوي زيد أو ناقص 4PX ناقص ال H بالشكل اللي عندنا هذا يعني لو مسيكنا أي واحدة منهم وعملناها إذا حويل ما بدك يبقى هذا الرسمة وهذا محور X وهذا محور Y نفترض جدلا إن كان هذه هي ال vertex", "tokens": [6027, 5016, 6027, 3660, 16712, 7649, 10632, 13672, 1829, 31439, 2423, 398, 8717, 995, 4587, 9381, 591, 5296, 28820, 6055, 25513, 10632, 7251, 3794, 45865, 30767, 25708, 34051, 8717, 995, 4587, 9381, 1017, 47, 55, 8717, 995, 4587, 9381, 2423, 389, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 37495, 22653, 45164, 47524, 1829, 4117, 8315, 36632, 36764, 24401, 3660, 9154, 16095, 4032, 25957, 1211, 8315, 11296, 11933, 15730, 11331, 2407, 26895, 19446, 47525, 4117, 7251, 3555, 4587, 7578, 23758, 34892, 38251, 3660, 37037, 15730, 3714, 5016, 13063, 1783, 37037, 15730, 3714, 5016, 13063, 398, 8717, 5172, 2655, 43042, 10874, 3215, 15040, 36145, 25961, 29538, 39896, 2423, 28162], "avg_logprob": -0.21057912242521934, "compression_ratio": 1.7844036697247707, "no_speech_prob": 0.0, "words": [{"start": 861.96, "end": 862.72, "word": "الحالة", "probability": 0.8778076171875}, {"start": 862.72, "end": 863.28, "word": " التانية", "probability": 0.974609375}, {"start": 863.28, "end": 863.9, "word": " اللي", "probability": 0.635986328125}, {"start": 863.9, "end": 864.14, "word": " هو", "probability": 0.9384765625}, {"start": 864.14, "end": 864.34, "word": " ال", "probability": 0.5908203125}, {"start": 864.34, "end": 864.68, "word": " Y", "probability": 0.45703125}, {"start": 864.68, "end": 865.62, "word": " ناقص", "probability": 0.88037109375}, {"start": 865.62, "end": 866.0, "word": " K", "probability": 0.54443359375}, {"start": 866.0, "end": 866.46, "word": " لكل", "probability": 0.952392578125}, {"start": 866.46, "end": 867.1, "word": " تربية", "probability": 0.88037109375}, {"start": 867.1, "end": 867.94, "word": " يسوي", "probability": 0.6944986979166666}, {"start": 867.94, "end": 868.52, "word": " زيد", "probability": 0.5467529296875}, {"start": 868.52, "end": 868.74, "word": " أو", "probability": 0.6669921875}, {"start": 868.74, "end": 869.38, "word": " ناقص", "probability": 0.987548828125}, {"start": 869.38, "end": 871.26, "word": " 4PX", "probability": 0.7537434895833334}, {"start": 871.26, "end": 871.88, "word": " ناقص", "probability": 0.9404296875}, {"start": 871.88, "end": 872.06, "word": " ال", "probability": 0.822265625}, {"start": 872.06, "end": 872.32, "word": " H", "probability": 0.81494140625}, {"start": 872.32, "end": 872.9, "word": " بالشكل", "probability": 0.9425455729166666}, {"start": 872.9, "end": 873.04, "word": " اللي", "probability": 0.95947265625}, {"start": 873.04, "end": 873.34, "word": " عندنا", "probability": 0.58538818359375}, {"start": 873.34, "end": 873.5, "word": " هذا", "probability": 0.68701171875}, {"start": 873.5, "end": 873.98, "word": " يعني", "probability": 0.7861328125}, {"start": 873.98, "end": 875.06, "word": " لو", "probability": 0.8935546875}, {"start": 875.06, "end": 875.62, "word": " مسيكنا", "probability": 0.74176025390625}, {"start": 875.62, "end": 875.86, "word": " أي", "probability": 0.72216796875}, {"start": 875.86, "end": 876.28, "word": " واحدة", "probability": 0.92236328125}, {"start": 876.28, "end": 876.52, "word": " منهم", "probability": 0.849365234375}, {"start": 876.52, "end": 877.16, "word": " وعملناها", "probability": 0.835986328125}, {"start": 877.16, "end": 877.42, "word": " إذا", "probability": 0.546875}, {"start": 877.42, "end": 877.86, "word": " حويل", "probability": 0.67041015625}, {"start": 877.86, "end": 878.02, "word": " ما", "probability": 0.86669921875}, {"start": 878.02, "end": 878.66, "word": " بدك", "probability": 0.902587890625}, {"start": 878.66, "end": 880.9, "word": " يبقى", "probability": 0.8809814453125}, {"start": 880.9, "end": 881.22, "word": " هذا", "probability": 0.89013671875}, {"start": 881.22, "end": 882.3, "word": " الرسمة", "probability": 0.9568684895833334}, {"start": 882.3, "end": 883.64, "word": " وهذا", "probability": 0.760498046875}, {"start": 883.64, "end": 884.14, "word": " محور", "probability": 0.9853515625}, {"start": 884.14, "end": 884.58, "word": " X", "probability": 0.99267578125}, {"start": 884.58, "end": 885.36, "word": " وهذا", "probability": 0.854736328125}, {"start": 885.36, "end": 885.96, "word": " محور", "probability": 0.9871419270833334}, {"start": 885.96, "end": 886.3, "word": " Y", "probability": 0.99609375}, {"start": 886.3, "end": 887.32, "word": " نفترض", "probability": 0.960693359375}, {"start": 887.32, "end": 888.16, "word": " جدلا", "probability": 0.97705078125}, {"start": 888.16, "end": 888.98, "word": " إن", "probability": 0.27978515625}, {"start": 888.98, "end": 889.48, "word": " كان", "probability": 0.61181640625}, {"start": 889.48, "end": 889.92, "word": " هذه", "probability": 0.82568359375}, {"start": 889.92, "end": 890.28, "word": " هي", "probability": 0.78271484375}, {"start": 890.28, "end": 890.44, "word": " ال", "probability": 0.97900390625}, {"start": 890.44, "end": 890.94, "word": " vertex", "probability": 0.70361328125}], "temperature": 1.0}, {"id": 41, "seek": 90475, "start": 892.23, "end": 904.75, "text": "وهي يبقى بدل ما كانت Zero و Zero صارت النقطة H و K وافترضنا ان ال Parabola كان على الشكل اللي عندنا هنا", "tokens": [2407, 3224, 1829, 7251, 3555, 4587, 7578, 47525, 1211, 19446, 25961, 2655, 17182, 4032, 17182, 20328, 9640, 2655, 28239, 47432, 3660, 389, 4032, 591, 4032, 31845, 2655, 43042, 8315, 16472, 2423, 3457, 14923, 64, 25961, 15844, 25124, 28820, 13672, 1829, 43242, 8315, 34105], "avg_logprob": -0.3350497118451379, "compression_ratio": 1.2769230769230768, "no_speech_prob": 0.0, "words": [{"start": 892.23, "end": 892.73, "word": "وهي", "probability": 0.3310953776041667}, {"start": 892.73, "end": 893.63, "word": " يبقى", "probability": 0.78271484375}, {"start": 893.63, "end": 893.99, "word": " بدل", "probability": 0.8037109375}, {"start": 893.99, "end": 894.23, "word": " ما", "probability": 0.8330078125}, {"start": 894.23, "end": 894.71, "word": " كانت", "probability": 0.913330078125}, {"start": 894.71, "end": 895.27, "word": " Zero", "probability": 0.1451416015625}, {"start": 895.27, "end": 895.85, "word": " و", "probability": 0.9130859375}, {"start": 895.85, "end": 896.41, "word": " Zero", "probability": 0.94921875}, {"start": 896.41, "end": 897.23, "word": " صارت", "probability": 0.9181315104166666}, {"start": 897.23, "end": 898.19, "word": " النقطة", "probability": 0.9493815104166666}, {"start": 898.19, "end": 898.67, "word": " H", "probability": 0.91455078125}, {"start": 898.67, "end": 899.05, "word": " و", "probability": 0.92724609375}, {"start": 899.05, "end": 899.29, "word": " K", "probability": 0.68359375}, {"start": 899.29, "end": 901.31, "word": " وافترضنا", "probability": 0.86904296875}, {"start": 901.31, "end": 901.93, "word": " ان", "probability": 0.50732421875}, {"start": 901.93, "end": 902.17, "word": " ال", "probability": 0.46826171875}, {"start": 902.17, "end": 902.81, "word": " Parabola", "probability": 0.5725504557291666}, {"start": 902.81, "end": 903.09, "word": " كان", "probability": 0.9921875}, {"start": 903.09, "end": 903.33, "word": " على", "probability": 0.6181640625}, {"start": 903.33, "end": 903.85, "word": " الشكل", "probability": 0.9501953125}, {"start": 903.85, "end": 904.05, "word": " اللي", "probability": 0.9169921875}, {"start": 904.05, "end": 904.51, "word": " عندنا", "probability": 0.952880859375}, {"start": 904.51, "end": 904.75, "word": " هنا", "probability": 0.6875}], "temperature": 1.0}, {"id": 42, "seek": 92337, "start": 906.61, "end": 923.37, "text": "يبقى بدنا معادلة وين H و K يبقى اتحركنا هنا مسافة مقدرها H و هنا نزلنا مسافة مقدرها K تمام؟ يبقى K صارت سالبة ولا موجبة؟", "tokens": [1829, 3555, 4587, 7578, 47525, 8315, 20449, 18513, 37977, 4032, 9957, 389, 4032, 591, 7251, 3555, 4587, 7578, 1975, 2655, 5016, 31747, 8315, 34105, 47524, 31845, 3660, 3714, 28543, 2288, 11296, 389, 4032, 34105, 8717, 11622, 1211, 8315, 47524, 31845, 3660, 3714, 28543, 2288, 11296, 591, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 591, 20328, 9640, 2655, 8608, 6027, 49401, 49429, 3714, 29245, 49401, 22807], "avg_logprob": -0.19602272659540176, "compression_ratio": 1.68, "no_speech_prob": 0.0, "words": [{"start": 906.61, "end": 907.05, "word": "يبقى", "probability": 0.797119140625}, {"start": 907.05, "end": 907.39, "word": " بدنا", "probability": 0.669677734375}, {"start": 907.39, "end": 908.13, "word": " معادلة", "probability": 0.97216796875}, {"start": 908.13, "end": 909.09, "word": " وين", "probability": 0.44384765625}, {"start": 909.09, "end": 909.39, "word": " H", "probability": 0.5556640625}, {"start": 909.39, "end": 909.71, "word": " و", "probability": 0.96728515625}, {"start": 909.71, "end": 909.99, "word": " K", "probability": 0.468017578125}, {"start": 909.99, "end": 910.77, "word": " يبقى", "probability": 0.9107666015625}, {"start": 910.77, "end": 911.67, "word": " اتحركنا", "probability": 0.860302734375}, {"start": 911.67, "end": 912.07, "word": " هنا", "probability": 0.9765625}, {"start": 912.07, "end": 913.81, "word": " مسافة", "probability": 0.89453125}, {"start": 913.81, "end": 914.57, "word": " مقدرها", "probability": 0.8814697265625}, {"start": 914.57, "end": 914.99, "word": " H", "probability": 0.97998046875}, {"start": 914.99, "end": 915.51, "word": " و", "probability": 0.68896484375}, {"start": 915.51, "end": 915.79, "word": " هنا", "probability": 0.60546875}, {"start": 915.79, "end": 916.37, "word": " نزلنا", "probability": 0.985595703125}, {"start": 916.37, "end": 916.99, "word": " مسافة", "probability": 0.9886067708333334}, {"start": 916.99, "end": 918.07, "word": " مقدرها", "probability": 0.9571533203125}, {"start": 918.07, "end": 918.73, "word": " K", "probability": 0.986328125}, {"start": 918.73, "end": 920.13, "word": " تمام؟", "probability": 0.7374674479166666}, {"start": 920.13, "end": 920.55, "word": " يبقى", "probability": 0.984375}, {"start": 920.55, "end": 920.79, "word": " K", "probability": 0.921875}, {"start": 920.79, "end": 921.37, "word": " صارت", "probability": 0.8046875}, {"start": 921.37, "end": 921.87, "word": " سالبة", "probability": 0.8372395833333334}, {"start": 921.87, "end": 922.21, "word": " ولا", "probability": 0.7548828125}, {"start": 922.21, "end": 923.37, "word": " موجبة؟", "probability": 0.91650390625}], "temperature": 1.0}, {"id": 43, "seek": 94122, "start": 925.86, "end": 941.22, "text": "يبقى المعادلة هذه معادلة مين؟ معادلة الأولى أزحناها جهة اليمين بمقدار H وإلى أسفل بمقدار K يبقى مين من المعادلات الأربعة اللي عندنا هذه؟", "tokens": [1829, 3555, 4587, 7578, 9673, 3615, 18513, 37977, 29538, 20449, 18513, 37977, 3714, 9957, 22807, 20449, 18513, 37977, 16247, 12610, 7578, 5551, 11622, 5016, 8315, 11296, 10874, 3224, 3660, 2423, 32640, 9957, 4724, 2304, 28543, 9640, 389, 4032, 28814, 23942, 5551, 3794, 5172, 1211, 4724, 2304, 28543, 9640, 591, 7251, 3555, 4587, 7578, 3714, 9957, 9154, 9673, 3615, 18513, 1211, 9307, 16247, 25513, 27884, 13672, 1829, 43242, 8315, 29538, 22807], "avg_logprob": -0.14931777623337758, "compression_ratio": 1.8161764705882353, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 925.86, "end": 927.08, "word": "يبقى", "probability": 0.74072265625}, {"start": 927.08, "end": 927.6, "word": " المعادلة", "probability": 0.925048828125}, {"start": 927.6, "end": 927.9, "word": " هذه", "probability": 0.56591796875}, {"start": 927.9, "end": 928.52, "word": " معادلة", "probability": 0.953125}, {"start": 928.52, "end": 929.12, "word": " مين؟", "probability": 0.6873372395833334}, {"start": 929.12, "end": 929.86, "word": " معادلة", "probability": 0.90283203125}, {"start": 929.86, "end": 930.92, "word": " الأولى", "probability": 0.9690755208333334}, {"start": 930.92, "end": 931.78, "word": " أزحناها", "probability": 0.83466796875}, {"start": 931.78, "end": 932.28, "word": " جهة", "probability": 0.9895833333333334}, {"start": 932.28, "end": 932.86, "word": " اليمين", "probability": 0.876953125}, {"start": 932.86, "end": 933.6, "word": " بمقدار", "probability": 0.969970703125}, {"start": 933.6, "end": 933.98, "word": " H", "probability": 0.9208984375}, {"start": 933.98, "end": 934.76, "word": " وإلى", "probability": 0.80859375}, {"start": 934.76, "end": 935.28, "word": " أسفل", "probability": 0.9686279296875}, {"start": 935.28, "end": 936.5, "word": " بمقدار", "probability": 0.9910888671875}, {"start": 936.5, "end": 937.06, "word": " K", "probability": 0.96484375}, {"start": 937.06, "end": 937.84, "word": " يبقى", "probability": 0.8936767578125}, {"start": 937.84, "end": 938.2, "word": " مين", "probability": 0.939453125}, {"start": 938.2, "end": 938.4, "word": " من", "probability": 0.97314453125}, {"start": 938.4, "end": 939.34, "word": " المعادلات", "probability": 0.9775390625}, {"start": 939.34, "end": 939.96, "word": " الأربعة", "probability": 0.8995768229166666}, {"start": 939.96, "end": 940.18, "word": " اللي", "probability": 0.90283203125}, {"start": 940.18, "end": 940.6, "word": " عندنا", "probability": 0.990478515625}, {"start": 940.6, "end": 941.22, "word": " هذه؟", "probability": 0.633056640625}], "temperature": 1.0}, {"id": 44, "seek": 95772, "start": 941.88, "end": 957.72, "text": "بصير المعادلة الأولى باس بالزايد كيف؟ كالتالي بصير معادلة هذا المنحنى اللي احنا راسمينه هي X ماقص H لكل تربيع يساوي 4T", "tokens": [3555, 9381, 13546, 9673, 3615, 18513, 37977, 16247, 12610, 7578, 4724, 32277, 20666, 11622, 995, 25708, 9122, 33911, 22807, 9122, 6027, 2655, 6027, 1829, 4724, 9381, 13546, 20449, 18513, 37977, 23758, 9673, 1863, 5016, 1863, 7578, 13672, 1829, 1975, 5016, 8315, 12602, 32277, 2304, 9957, 3224, 39896, 1783, 19446, 4587, 9381, 389, 5296, 28820, 6055, 2288, 21292, 3615, 7251, 3794, 995, 45865, 1017, 51], "avg_logprob": -0.24146634615384616, "compression_ratio": 1.5071428571428571, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 941.88, "end": 942.52, "word": "بصير", "probability": 0.7310384114583334}, {"start": 942.52, "end": 943.42, "word": " المعادلة", "probability": 0.9791259765625}, {"start": 943.42, "end": 944.08, "word": " الأولى", "probability": 0.8798828125}, {"start": 944.08, "end": 944.42, "word": " باس", "probability": 0.72119140625}, {"start": 944.42, "end": 945.34, "word": " بالزايد", "probability": 0.751953125}, {"start": 945.34, "end": 946.12, "word": " كيف؟", "probability": 0.5973307291666666}, {"start": 946.12, "end": 946.74, "word": " كالتالي", "probability": 0.91474609375}, {"start": 946.74, "end": 947.7, "word": " بصير", "probability": 0.9357096354166666}, {"start": 947.7, "end": 948.42, "word": " معادلة", "probability": 0.96044921875}, {"start": 948.42, "end": 948.72, "word": " هذا", "probability": 0.7431640625}, {"start": 948.72, "end": 949.38, "word": " المنحنى", "probability": 0.85224609375}, {"start": 949.38, "end": 949.54, "word": " اللي", "probability": 0.73779296875}, {"start": 949.54, "end": 949.74, "word": " احنا", "probability": 0.90673828125}, {"start": 949.74, "end": 950.5, "word": " راسمينه", "probability": 0.862646484375}, {"start": 950.5, "end": 950.88, "word": " هي", "probability": 0.64208984375}, {"start": 950.88, "end": 952.14, "word": " X", "probability": 0.476318359375}, {"start": 952.14, "end": 953.22, "word": " ماقص", "probability": 0.6868896484375}, {"start": 953.22, "end": 953.66, "word": " H", "probability": 0.849609375}, {"start": 953.66, "end": 954.28, "word": " لكل", "probability": 0.89306640625}, {"start": 954.28, "end": 955.06, "word": " تربيع", "probability": 0.80615234375}, {"start": 955.06, "end": 955.94, "word": " يساوي", "probability": 0.878173828125}, {"start": 955.94, "end": 957.72, "word": " 4T", "probability": 0.6065673828125}], "temperature": 1.0}, {"id": 45, "seek": 97610, "start": 958.06, "end": 976.1, "text": "Y ناقص K طب K هنا سالبة صح ولا لأ؟ يبقى Y زائد K بالشكل اللي عندنا هذا ليش؟ لأن هذه K مسافة سالبة وهذه بده يخليها ناقص K بالشكل اللي عندنا", "tokens": [56, 8717, 995, 4587, 9381, 591, 23032, 3555, 591, 34105, 8608, 6027, 49401, 20328, 5016, 49429, 5296, 10721, 22807, 7251, 3555, 4587, 7578, 398, 30767, 16373, 3215, 591, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 32239, 8592, 22807, 5296, 33456, 29538, 591, 47524, 31845, 3660, 8608, 6027, 49401, 37037, 24192, 47525, 3224, 7251, 9778, 20292, 11296, 8717, 995, 4587, 9381, 591, 20666, 8592, 28820, 13672, 1829, 43242, 8315], "avg_logprob": -0.2660714238882065, "compression_ratio": 1.7122302158273381, "no_speech_prob": 0.0, "words": [{"start": 958.06, "end": 958.96, "word": "Y", "probability": 0.244384765625}, {"start": 958.96, "end": 960.42, "word": " ناقص", "probability": 0.7292633056640625}, {"start": 960.42, "end": 960.72, "word": " K", "probability": 0.7568359375}, {"start": 960.72, "end": 961.02, "word": " طب", "probability": 0.525543212890625}, {"start": 961.02, "end": 961.22, "word": " K", "probability": 0.5537109375}, {"start": 961.22, "end": 961.48, "word": " هنا", "probability": 0.9833984375}, {"start": 961.48, "end": 962.14, "word": " سالبة", "probability": 0.90380859375}, {"start": 962.14, "end": 962.76, "word": " صح", "probability": 0.8466796875}, {"start": 962.76, "end": 963.0, "word": " ولا", "probability": 0.96484375}, {"start": 963.0, "end": 963.72, "word": " لأ؟", "probability": 0.7095540364583334}, {"start": 963.72, "end": 964.48, "word": " يبقى", "probability": 0.903076171875}, {"start": 964.48, "end": 965.54, "word": " Y", "probability": 0.59619140625}, {"start": 965.54, "end": 966.44, "word": " زائد", "probability": 0.8273111979166666}, {"start": 966.44, "end": 966.8, "word": " K", "probability": 0.9609375}, {"start": 966.8, "end": 967.38, "word": " بالشكل", "probability": 0.98095703125}, {"start": 967.38, "end": 967.5, "word": " اللي", "probability": 0.958984375}, {"start": 967.5, "end": 967.78, "word": " عندنا", "probability": 0.853271484375}, {"start": 967.78, "end": 967.9, "word": " هذا", "probability": 0.2071533203125}, {"start": 967.9, "end": 968.68, "word": " ليش؟", "probability": 0.7513834635416666}, {"start": 968.68, "end": 969.06, "word": " لأن", "probability": 0.86474609375}, {"start": 969.06, "end": 969.5, "word": " هذه", "probability": 0.17822265625}, {"start": 969.5, "end": 969.86, "word": " K", "probability": 0.92822265625}, {"start": 969.86, "end": 970.64, "word": " مسافة", "probability": 0.9830729166666666}, {"start": 970.64, "end": 971.24, "word": " سالبة", "probability": 0.9798177083333334}, {"start": 971.24, "end": 972.28, "word": " وهذه", "probability": 0.77294921875}, {"start": 972.28, "end": 972.7, "word": " بده", "probability": 0.4990234375}, {"start": 972.7, "end": 973.44, "word": " يخليها", "probability": 0.910400390625}, {"start": 973.44, "end": 974.54, "word": " ناقص", "probability": 0.9957275390625}, {"start": 974.54, "end": 974.88, "word": " K", "probability": 0.9521484375}, {"start": 974.88, "end": 975.46, "word": " بالشكل", "probability": 0.982421875}, {"start": 975.46, "end": 975.64, "word": " اللي", "probability": 0.993408203125}, {"start": 975.64, "end": 976.1, "word": " عندنا", "probability": 0.979248046875}], "temperature": 1.0}, {"id": 46, "seek": 99372, "start": 980.22, "end": 993.72, "text": "طب لو كانت ال H ثالثة بيصير X زائد H لكل تربية و هكذا حد اللي هو يتساؤل قبل أن ندخل إلى الأمثلة على ال Parabola", "tokens": [9566, 3555, 45164, 25961, 2655, 2423, 389, 38637, 6027, 12984, 3660, 4724, 1829, 9381, 13546, 1783, 30767, 16373, 3215, 389, 5296, 28820, 6055, 25513, 10632, 4032, 8032, 4117, 15730, 11331, 3215, 13672, 1829, 31439, 7251, 2655, 3794, 5718, 97, 1211, 12174, 36150, 14739, 8717, 3215, 9778, 1211, 30731, 16247, 2304, 12984, 37977, 15844, 2423, 3457, 14923, 64], "avg_logprob": -0.33432113404931696, "compression_ratio": 1.3191489361702127, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 980.22, "end": 981.08, "word": "طب", "probability": 0.56744384765625}, {"start": 981.08, "end": 981.36, "word": " لو", "probability": 0.96533203125}, {"start": 981.36, "end": 981.94, "word": " كانت", "probability": 0.8427734375}, {"start": 981.94, "end": 982.06, "word": " ال", "probability": 0.88232421875}, {"start": 982.06, "end": 982.32, "word": " H", "probability": 0.583984375}, {"start": 982.32, "end": 983.32, "word": " ثالثة", "probability": 0.7147216796875}, {"start": 983.32, "end": 984.38, "word": " بيصير", "probability": 0.71685791015625}, {"start": 984.38, "end": 984.94, "word": " X", "probability": 0.7197265625}, {"start": 984.94, "end": 985.68, "word": " زائد", "probability": 0.6046549479166666}, {"start": 985.68, "end": 986.04, "word": " H", "probability": 0.90869140625}, {"start": 986.04, "end": 986.52, "word": " لكل", "probability": 0.540924072265625}, {"start": 986.52, "end": 987.16, "word": " تربية", "probability": 0.8611653645833334}, {"start": 987.16, "end": 987.48, "word": " و", "probability": 0.56103515625}, {"start": 987.48, "end": 988.12, "word": " هكذا", "probability": 0.87939453125}, {"start": 988.12, "end": 989.08, "word": " حد", "probability": 0.604248046875}, {"start": 989.08, "end": 989.22, "word": " اللي", "probability": 0.677490234375}, {"start": 989.22, "end": 989.32, "word": " هو", "probability": 0.8583984375}, {"start": 989.32, "end": 989.98, "word": " يتساؤل", "probability": 0.8868001302083334}, {"start": 989.98, "end": 990.32, "word": " قبل", "probability": 0.964111328125}, {"start": 990.32, "end": 990.46, "word": " أن", "probability": 0.61767578125}, {"start": 990.46, "end": 990.84, "word": " ندخل", "probability": 0.9849853515625}, {"start": 990.84, "end": 991.06, "word": " إلى", "probability": 0.52880859375}, {"start": 991.06, "end": 991.68, "word": " الأمثلة", "probability": 0.974853515625}, {"start": 991.68, "end": 992.02, "word": " على", "probability": 0.77294921875}, {"start": 992.02, "end": 992.22, "word": " ال", "probability": 0.87255859375}, {"start": 992.22, "end": 993.72, "word": " Parabola", "probability": 0.5088704427083334}], "temperature": 1.0}, {"id": 47, "seek": 101991, "start": 997.41, "end": 1019.91, "text": "شو ديركشن هذا؟ ديركتركس ماله؟ بده يزل، بده يضل على نفس البعد تبع الفوكر وعناضي أنفلة توضيحية بعد قليل للمسائل العادية ومسائل ب shift و بدون shift يبقى أول مثال بيقول مارأتي examples", "tokens": [8592, 2407, 11778, 13546, 4117, 8592, 1863, 23758, 22807, 11778, 13546, 4117, 2655, 2288, 4117, 3794, 3714, 6027, 3224, 22807, 47525, 3224, 7251, 11622, 1211, 12399, 47525, 3224, 7251, 11242, 1211, 15844, 8717, 36178, 29739, 22488, 6055, 3555, 3615, 27188, 2407, 37983, 4032, 3615, 1863, 46958, 1829, 14739, 5172, 37977, 33427, 11242, 1829, 5016, 10632, 39182, 12174, 20292, 1211, 5296, 19528, 3794, 16373, 1211, 18863, 18513, 10632, 4032, 2304, 3794, 16373, 1211, 4724, 5513, 4032, 47525, 11536, 5513, 7251, 3555, 4587, 7578, 5551, 12610, 50113, 6027, 4724, 1829, 39648, 3714, 9640, 10721, 31371, 5110], "avg_logprob": -0.3628289354474921, "compression_ratio": 1.616580310880829, "no_speech_prob": 0.0, "words": [{"start": 997.41, "end": 998.53, "word": "شو", "probability": 0.503021240234375}, {"start": 998.53, "end": 999.65, "word": " ديركشن", "probability": 0.62529296875}, {"start": 999.65, "end": 1000.07, "word": " هذا؟", "probability": 0.7373046875}, {"start": 1000.07, "end": 1001.45, "word": " ديركتركس", "probability": 0.5180228097098214}, {"start": 1001.45, "end": 1001.99, "word": " ماله؟", "probability": 0.744232177734375}, {"start": 1001.99, "end": 1003.01, "word": " بده", "probability": 0.61328125}, {"start": 1003.01, "end": 1003.47, "word": " يزل،", "probability": 0.52325439453125}, {"start": 1003.47, "end": 1003.73, "word": " بده", "probability": 0.91796875}, {"start": 1003.73, "end": 1004.07, "word": " يضل", "probability": 0.90185546875}, {"start": 1004.07, "end": 1004.41, "word": " على", "probability": 0.89453125}, {"start": 1004.41, "end": 1004.85, "word": " نفس", "probability": 0.996826171875}, {"start": 1004.85, "end": 1005.59, "word": " البعد", "probability": 0.92041015625}, {"start": 1005.59, "end": 1006.09, "word": " تبع", "probability": 0.9152018229166666}, {"start": 1006.09, "end": 1006.75, "word": " الفوكر", "probability": 0.68994140625}, {"start": 1006.75, "end": 1007.73, "word": " وعناضي", "probability": 0.648583984375}, {"start": 1007.73, "end": 1008.13, "word": " أنفلة", "probability": 0.6936848958333334}, {"start": 1008.13, "end": 1008.85, "word": " توضيحية", "probability": 0.804150390625}, {"start": 1008.85, "end": 1009.19, "word": " بعد", "probability": 0.623046875}, {"start": 1009.19, "end": 1010.45, "word": " قليل", "probability": 0.88916015625}, {"start": 1010.45, "end": 1011.53, "word": " للمسائل", "probability": 0.767578125}, {"start": 1011.53, "end": 1011.89, "word": " العادية", "probability": 0.94384765625}, {"start": 1011.89, "end": 1012.53, "word": " ومسائل", "probability": 0.8994140625}, {"start": 1012.53, "end": 1012.69, "word": " ب", "probability": 0.79296875}, {"start": 1012.69, "end": 1013.03, "word": " shift", "probability": 0.826171875}, {"start": 1013.03, "end": 1013.27, "word": " و", "probability": 0.884765625}, {"start": 1013.27, "end": 1013.89, "word": " بدون", "probability": 0.873779296875}, {"start": 1013.89, "end": 1014.39, "word": " shift", "probability": 0.9853515625}, {"start": 1014.39, "end": 1015.33, "word": " يبقى", "probability": 0.8140869140625}, {"start": 1015.33, "end": 1015.77, "word": " أول", "probability": 0.929931640625}, {"start": 1015.77, "end": 1016.35, "word": " مثال", "probability": 0.916748046875}, {"start": 1016.35, "end": 1016.91, "word": " بيقول", "probability": 0.8486328125}, {"start": 1016.91, "end": 1017.87, "word": " مارأتي", "probability": 0.653076171875}, {"start": 1017.87, "end": 1019.91, "word": " examples", "probability": 0.767578125}], "temperature": 1.0}, {"id": 48, "seek": 104805, "start": 1030.65, "end": 1048.05, "text": "Find the vertex focus وكذلك Axes وDirectrix", "tokens": [37, 471, 264, 28162, 1879, 4032, 4117, 8848, 23275, 20118, 279, 4032, 35, 11890, 6579], "avg_logprob": -0.4982910118997097, "compression_ratio": 0.8909090909090909, "no_speech_prob": 0.0, "words": [{"start": 1030.6499999999999, "end": 1032.05, "word": "Find", "probability": 0.57244873046875}, {"start": 1032.05, "end": 1033.45, "word": " the", "probability": 0.66015625}, {"start": 1033.45, "end": 1035.45, "word": " vertex", "probability": 0.712890625}, {"start": 1035.45, "end": 1037.59, "word": " focus", "probability": 0.84423828125}, {"start": 1037.59, "end": 1040.15, "word": " وكذلك", "probability": 0.8077392578125}, {"start": 1040.15, "end": 1041.85, "word": " Axes", "probability": 0.43994140625}, {"start": 1041.85, "end": 1048.05, "word": " وDirectrix", "probability": 0.65625}], "temperature": 1.0}, {"id": 49, "seek": 108150, "start": 1054.42, "end": 1081.5, "text": "Each of the following parabolas نمرة A Y تربيع يساوي ناقص تمانية X نمرة B تمانية Y", "tokens": [36, 608, 295, 264, 3480, 45729, 14104, 8717, 2304, 25720, 316, 398, 6055, 2288, 21292, 3615, 7251, 3794, 995, 45865, 8717, 995, 4587, 9381, 46811, 7649, 10632, 1783, 8717, 2304, 25720, 363, 46811, 7649, 10632, 398], "avg_logprob": -0.27217062099559886, "compression_ratio": 1.1958762886597938, "no_speech_prob": 0.0, "words": [{"start": 1054.42, "end": 1055.32, "word": "Each", "probability": 0.4844970703125}, {"start": 1055.32, "end": 1056.66, "word": " of", "probability": 0.822265625}, {"start": 1056.66, "end": 1058.36, "word": " the", "probability": 0.85791015625}, {"start": 1058.36, "end": 1060.52, "word": " following", "probability": 0.720703125}, {"start": 1060.52, "end": 1064.64, "word": " parabolas", "probability": 0.907470703125}, {"start": 1064.64, "end": 1070.96, "word": " نمرة", "probability": 0.576416015625}, {"start": 1070.96, "end": 1071.42, "word": " A", "probability": 0.67724609375}, {"start": 1071.42, "end": 1073.2, "word": " Y", "probability": 0.499755859375}, {"start": 1073.2, "end": 1074.3, "word": " تربيع", "probability": 0.78216552734375}, {"start": 1074.3, "end": 1075.48, "word": " يساوي", "probability": 0.8646240234375}, {"start": 1075.48, "end": 1076.24, "word": " ناقص", "probability": 0.955322265625}, {"start": 1076.24, "end": 1077.0, "word": " تمانية", "probability": 0.8701171875}, {"start": 1077.0, "end": 1077.5, "word": " X", "probability": 0.92138671875}, {"start": 1077.5, "end": 1078.66, "word": " نمرة", "probability": 0.8831380208333334}, {"start": 1078.66, "end": 1079.26, "word": " B", "probability": 0.98974609375}, {"start": 1079.26, "end": 1080.82, "word": " تمانية", "probability": 0.9783528645833334}, {"start": 1080.82, "end": 1081.5, "word": " Y", "probability": 0.9921875}], "temperature": 1.0}, {"id": 50, "seek": 110258, "start": 1082.55, "end": 1102.59, "text": "تمانية Y بديه تساوي X تربيع زائد ستة X زائد سبعتاشر solution نمر ايه؟ شوف يا سيدي", "tokens": [39237, 7649, 10632, 398, 4724, 16254, 3224, 6055, 3794, 995, 45865, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 8608, 2655, 3660, 1783, 30767, 16373, 3215, 8608, 3555, 34268, 33599, 2288, 3827, 8717, 29973, 1975, 1829, 3224, 22807, 13412, 38688, 35186, 8608, 1829, 16254], "avg_logprob": -0.37361111905839706, "compression_ratio": 1.2272727272727273, "no_speech_prob": 0.0, "words": [{"start": 1082.55, "end": 1083.29, "word": "تمانية", "probability": 0.59033203125}, {"start": 1083.29, "end": 1083.81, "word": " Y", "probability": 0.69970703125}, {"start": 1083.81, "end": 1084.43, "word": " بديه", "probability": 0.2772216796875}, {"start": 1084.43, "end": 1084.99, "word": " تساوي", "probability": 0.8570556640625}, {"start": 1084.99, "end": 1085.69, "word": " X", "probability": 0.8408203125}, {"start": 1085.69, "end": 1086.51, "word": " تربيع", "probability": 0.78759765625}, {"start": 1086.51, "end": 1088.13, "word": " زائد", "probability": 0.7892252604166666}, {"start": 1088.13, "end": 1089.19, "word": " ستة", "probability": 0.8935546875}, {"start": 1089.19, "end": 1089.63, "word": " X", "probability": 0.9091796875}, {"start": 1089.63, "end": 1091.09, "word": " زائد", "probability": 0.9562174479166666}, {"start": 1091.09, "end": 1093.03, "word": " سبعتاشر", "probability": 0.836376953125}, {"start": 1093.03, "end": 1094.83, "word": " solution", "probability": 0.6904296875}, {"start": 1094.83, "end": 1098.99, "word": " نمر", "probability": 0.712646484375}, {"start": 1098.99, "end": 1100.55, "word": " ايه؟", "probability": 0.744140625}, {"start": 1100.55, "end": 1102.19, "word": " شوف", "probability": 0.92626953125}, {"start": 1102.19, "end": 1102.45, "word": " يا", "probability": 0.19970703125}, {"start": 1102.45, "end": 1102.59, "word": " سيدي", "probability": 0.749267578125}], "temperature": 1.0}, {"id": 51, "seek": 111628, "start": 1103.66, "end": 1116.28, "text": "بادئي بتقلع للمعاملة ويه تربية ناقص تمانية X بادئي بتذكر مين من الرسمات الأربع ويه تربية طبعا عندي اخر رسمتين", "tokens": [3555, 18513, 19986, 1829, 39894, 4587, 1211, 3615, 5296, 19528, 3615, 10943, 37977, 4032, 1829, 3224, 6055, 25513, 10632, 8717, 995, 4587, 9381, 46811, 7649, 10632, 1783, 4724, 18513, 19986, 1829, 39894, 8848, 37983, 3714, 9957, 9154, 34892, 38251, 9307, 16247, 25513, 3615, 4032, 1829, 3224, 6055, 25513, 10632, 23032, 3555, 3615, 995, 18871, 16254, 1975, 34740, 12602, 38251, 2655, 9957], "avg_logprob": -0.2968750052875088, "compression_ratio": 1.5714285714285714, "no_speech_prob": 0.0, "words": [{"start": 1103.66, "end": 1104.12, "word": "بادئي", "probability": 0.50335693359375}, {"start": 1104.12, "end": 1104.82, "word": " بتقلع", "probability": 0.58062744140625}, {"start": 1104.82, "end": 1105.62, "word": " للمعاملة", "probability": 0.83427734375}, {"start": 1105.62, "end": 1106.2, "word": " ويه", "probability": 0.5115559895833334}, {"start": 1106.2, "end": 1106.62, "word": " تربية", "probability": 0.9259440104166666}, {"start": 1106.62, "end": 1107.24, "word": " ناقص", "probability": 0.8988037109375}, {"start": 1107.24, "end": 1107.8, "word": " تمانية", "probability": 0.9474283854166666}, {"start": 1107.8, "end": 1108.16, "word": " X", "probability": 0.39404296875}, {"start": 1108.16, "end": 1109.08, "word": " بادئي", "probability": 0.83367919921875}, {"start": 1109.08, "end": 1109.68, "word": " بتذكر", "probability": 0.8219401041666666}, {"start": 1109.68, "end": 1110.02, "word": " مين", "probability": 0.7232666015625}, {"start": 1110.02, "end": 1110.24, "word": " من", "probability": 0.97509765625}, {"start": 1110.24, "end": 1111.54, "word": " الرسمات", "probability": 0.8258463541666666}, {"start": 1111.54, "end": 1112.36, "word": " الأربع", "probability": 0.8523763020833334}, {"start": 1112.36, "end": 1113.14, "word": " ويه", "probability": 0.916015625}, {"start": 1113.14, "end": 1113.48, "word": " تربية", "probability": 0.9694010416666666}, {"start": 1113.48, "end": 1113.94, "word": " طبعا", "probability": 0.9071044921875}, {"start": 1113.94, "end": 1114.22, "word": " عندي", "probability": 0.618896484375}, {"start": 1114.22, "end": 1115.34, "word": " اخر", "probability": 0.6824951171875}, {"start": 1115.34, "end": 1116.28, "word": " رسمتين", "probability": 0.884765625}], "temperature": 1.0}, {"id": 52, "seek": 114419, "start": 1117.09, "end": 1144.19, "text": "الإشارة هنا من؟ بالصالب يبقى الرسمة من؟ الأخيرة لأن هذه هي الرسمة بس بدي أعرف مقدار P بطلع في المعادلة هذه نفس شكل المعادلة هذه إذا أربعة P هذه بتساوي كده؟ تمانية يبقى هنا عندنا أربعة P تساوي تمانية إذا P تساوي كده؟", "tokens": [6027, 28814, 8592, 9640, 3660, 34105, 9154, 22807, 20666, 9381, 6027, 3555, 7251, 3555, 4587, 7578, 34892, 38251, 3660, 9154, 22807, 16247, 9778, 48923, 5296, 33456, 29538, 39896, 34892, 38251, 3660, 4724, 3794, 4724, 16254, 5551, 3615, 28480, 3714, 28543, 9640, 430, 4724, 9566, 1211, 3615, 8978, 9673, 3615, 18513, 37977, 29538, 8717, 36178, 13412, 28820, 9673, 3615, 18513, 37977, 29538, 11933, 15730, 5551, 25513, 27884, 430, 29538, 39894, 3794, 995, 45865, 9122, 3215, 3224, 22807, 46811, 7649, 10632, 7251, 3555, 4587, 7578, 34105, 43242, 8315, 5551, 25513, 27884, 430, 6055, 3794, 995, 45865, 46811, 7649, 10632, 11933, 15730, 430, 6055, 3794, 995, 45865, 9122, 3215, 3224, 22807], "avg_logprob": -0.18463303189758862, "compression_ratio": 2.075675675675676, "no_speech_prob": 0.0, "words": [{"start": 1117.09, "end": 1117.93, "word": "الإشارة", "probability": 0.772802734375}, {"start": 1117.93, "end": 1118.15, "word": " هنا", "probability": 0.87548828125}, {"start": 1118.15, "end": 1118.73, "word": " من؟", "probability": 0.78173828125}, {"start": 1118.73, "end": 1119.73, "word": " بالصالب", "probability": 0.62420654296875}, {"start": 1119.73, "end": 1120.43, "word": " يبقى", "probability": 0.87109375}, {"start": 1120.43, "end": 1121.01, "word": " الرسمة", "probability": 0.8561197916666666}, {"start": 1121.01, "end": 1121.43, "word": " من؟", "probability": 0.90234375}, {"start": 1121.43, "end": 1122.31, "word": " الأخيرة", "probability": 0.8551432291666666}, {"start": 1122.31, "end": 1122.73, "word": " لأن", "probability": 0.779296875}, {"start": 1122.73, "end": 1123.05, "word": " هذه", "probability": 0.75341796875}, {"start": 1123.05, "end": 1123.47, "word": " هي", "probability": 0.477294921875}, {"start": 1123.47, "end": 1124.27, "word": " الرسمة", "probability": 0.9860026041666666}, {"start": 1124.27, "end": 1124.77, "word": " بس", "probability": 0.795654296875}, {"start": 1124.77, "end": 1125.03, "word": " بدي", "probability": 0.740966796875}, {"start": 1125.03, "end": 1125.35, "word": " أعرف", "probability": 0.93359375}, {"start": 1125.35, "end": 1126.61, "word": " مقدار", "probability": 0.8081868489583334}, {"start": 1126.61, "end": 1126.81, "word": " P", "probability": 0.8056640625}, {"start": 1126.81, "end": 1128.21, "word": " بطلع", "probability": 0.80792236328125}, {"start": 1128.21, "end": 1128.37, "word": " في", "probability": 0.96240234375}, {"start": 1128.37, "end": 1129.11, "word": " المعادلة", "probability": 0.9814453125}, {"start": 1129.11, "end": 1129.49, "word": " هذه", "probability": 0.947265625}, {"start": 1129.49, "end": 1129.93, "word": " نفس", "probability": 0.94921875}, {"start": 1129.93, "end": 1130.47, "word": " شكل", "probability": 0.970458984375}, {"start": 1130.47, "end": 1131.31, "word": " المعادلة", "probability": 0.984619140625}, {"start": 1131.31, "end": 1131.81, "word": " هذه", "probability": 0.87841796875}, {"start": 1131.81, "end": 1132.45, "word": " إذا", "probability": 0.71337890625}, {"start": 1132.45, "end": 1133.35, "word": " أربعة", "probability": 0.7134602864583334}, {"start": 1133.35, "end": 1133.71, "word": " P", "probability": 0.974609375}, {"start": 1133.71, "end": 1134.09, "word": " هذه", "probability": 0.75}, {"start": 1134.09, "end": 1134.73, "word": " بتساوي", "probability": 0.7855224609375}, {"start": 1134.73, "end": 1135.47, "word": " كده؟", "probability": 0.6173095703125}, {"start": 1135.47, "end": 1136.37, "word": " تمانية", "probability": 0.9324544270833334}, {"start": 1136.37, "end": 1137.47, "word": " يبقى", "probability": 0.9013671875}, {"start": 1137.47, "end": 1137.85, "word": " هنا", "probability": 0.97802734375}, {"start": 1137.85, "end": 1138.55, "word": " عندنا", "probability": 0.90185546875}, {"start": 1138.55, "end": 1139.43, "word": " أربعة", "probability": 0.811279296875}, {"start": 1139.43, "end": 1139.73, "word": " P", "probability": 0.9912109375}, {"start": 1139.73, "end": 1140.61, "word": " تساوي", "probability": 0.9525146484375}, {"start": 1140.61, "end": 1141.45, "word": " تمانية", "probability": 0.984375}, {"start": 1141.45, "end": 1142.27, "word": " إذا", "probability": 0.936767578125}, {"start": 1142.27, "end": 1142.67, "word": " P", "probability": 0.9755859375}, {"start": 1142.67, "end": 1143.31, "word": " تساوي", "probability": 0.9835205078125}, {"start": 1143.31, "end": 1144.19, "word": " كده؟", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 53, "seek": 116252, "start": 1144.34, "end": 1162.52, "text": "إتنين تمام تمام بدنا نروح نرسم الرسم هذه ونحدد عليها الشغلات هذه فباجي بقول لو كان هذول المحاور هذا محور X هذا محور Y وهكذا الفرابولة بالشكل اللي عندنا هذا", "tokens": [28814, 2655, 1863, 9957, 46811, 10943, 46811, 10943, 47525, 8315, 8717, 32887, 5016, 8717, 2288, 38251, 34892, 38251, 29538, 4032, 1863, 24401, 3215, 25894, 11296, 25124, 17082, 1211, 9307, 29538, 6156, 3555, 26108, 1829, 4724, 39648, 45164, 25961, 8032, 8848, 12610, 9673, 5016, 995, 13063, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 37037, 4117, 15730, 27188, 2288, 16758, 12610, 3660, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.2302517317649391, "compression_ratio": 1.7884615384615385, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1144.34, "end": 1145.34, "word": "إتنين", "probability": 0.67236328125}, {"start": 1145.34, "end": 1146.18, "word": " تمام", "probability": 0.884765625}, {"start": 1146.18, "end": 1146.76, "word": " تمام", "probability": 0.870361328125}, {"start": 1146.76, "end": 1147.66, "word": " بدنا", "probability": 0.54254150390625}, {"start": 1147.66, "end": 1148.0, "word": " نروح", "probability": 0.978515625}, {"start": 1148.0, "end": 1148.46, "word": " نرسم", "probability": 0.9484049479166666}, {"start": 1148.46, "end": 1149.04, "word": " الرسم", "probability": 0.97265625}, {"start": 1149.04, "end": 1149.5, "word": " هذه", "probability": 0.336181640625}, {"start": 1149.5, "end": 1150.84, "word": " ونحدد", "probability": 0.8751220703125}, {"start": 1150.84, "end": 1151.26, "word": " عليها", "probability": 0.985595703125}, {"start": 1151.26, "end": 1152.0, "word": " الشغلات", "probability": 0.972412109375}, {"start": 1152.0, "end": 1152.36, "word": " هذه", "probability": 0.82861328125}, {"start": 1152.36, "end": 1153.24, "word": " فباجي", "probability": 0.7264404296875}, {"start": 1153.24, "end": 1153.66, "word": " بقول", "probability": 0.953125}, {"start": 1153.66, "end": 1153.98, "word": " لو", "probability": 0.9150390625}, {"start": 1153.98, "end": 1154.28, "word": " كان", "probability": 0.99267578125}, {"start": 1154.28, "end": 1154.7, "word": " هذول", "probability": 0.7598470052083334}, {"start": 1154.7, "end": 1155.54, "word": " المحاور", "probability": 0.942138671875}, {"start": 1155.54, "end": 1156.2, "word": " هذا", "probability": 0.67578125}, {"start": 1156.2, "end": 1156.78, "word": " محور", "probability": 0.9884440104166666}, {"start": 1156.78, "end": 1157.24, "word": " X", "probability": 0.86376953125}, {"start": 1157.24, "end": 1157.92, "word": " هذا", "probability": 0.587890625}, {"start": 1157.92, "end": 1158.56, "word": " محور", "probability": 0.9739583333333334}, {"start": 1158.56, "end": 1159.0, "word": " Y", "probability": 0.9951171875}, {"start": 1159.0, "end": 1160.08, "word": " وهكذا", "probability": 0.6813151041666666}, {"start": 1160.08, "end": 1160.94, "word": " الفرابولة", "probability": 0.707470703125}, {"start": 1160.94, "end": 1161.58, "word": " بالشكل", "probability": 0.9420572916666666}, {"start": 1161.58, "end": 1161.78, "word": " اللي", "probability": 0.954833984375}, {"start": 1161.78, "end": 1162.22, "word": " عندنا", "probability": 0.97900390625}, {"start": 1162.22, "end": 1162.52, "word": " هذا", "probability": 0.87109375}], "temperature": 1.0}, {"id": 54, "seek": 118646, "start": 1162.92, "end": 1186.46, "text": "الان P ب 2 يبقى صارت بالشكل اللي عندنا هذا يبقى اليحداتي تبعها سالي ب 2 و 0 و ال vertex هي نقطة الأصل كما هي لم تتغير ندى نشوف المطلوب الأول المطلوب الأول قال يهاتل ال vertex يبقى ال vertex 00 لم تتغير", "tokens": [6027, 7649, 430, 4724, 568, 7251, 3555, 4587, 7578, 20328, 9640, 2655, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 45595, 24401, 9307, 1829, 6055, 3555, 3615, 11296, 8608, 6027, 1829, 4724, 568, 4032, 1958, 4032, 2423, 28162, 39896, 8717, 47432, 3660, 16247, 36520, 9122, 15042, 39896, 32767, 6055, 2655, 17082, 13546, 8717, 3215, 7578, 8717, 8592, 38688, 9673, 9566, 1211, 37746, 16247, 12610, 9673, 9566, 1211, 37746, 16247, 12610, 50239, 7251, 3224, 9307, 1211, 2423, 28162, 7251, 3555, 4587, 7578, 2423, 28162, 7143, 32767, 6055, 2655, 17082, 13546], "avg_logprob": -0.19597739837271103, "compression_ratio": 1.830601092896175, "no_speech_prob": 0.0, "words": [{"start": 1162.92, "end": 1163.56, "word": "الان", "probability": 0.639892578125}, {"start": 1163.56, "end": 1164.0, "word": " P", "probability": 0.7265625}, {"start": 1164.0, "end": 1164.26, "word": " ب", "probability": 0.75244140625}, {"start": 1164.26, "end": 1164.86, "word": " 2", "probability": 0.35888671875}, {"start": 1164.86, "end": 1166.04, "word": " يبقى", "probability": 0.9239501953125}, {"start": 1166.04, "end": 1166.68, "word": " صارت", "probability": 0.85546875}, {"start": 1166.68, "end": 1167.14, "word": " بالشكل", "probability": 0.9816080729166666}, {"start": 1167.14, "end": 1167.32, "word": " اللي", "probability": 0.834228515625}, {"start": 1167.32, "end": 1167.66, "word": " عندنا", "probability": 0.95166015625}, {"start": 1167.66, "end": 1167.9, "word": " هذا", "probability": 0.85400390625}, {"start": 1167.9, "end": 1168.16, "word": " يبقى", "probability": 0.915283203125}, {"start": 1168.16, "end": 1168.84, "word": " اليحداتي", "probability": 0.6153564453125}, {"start": 1168.84, "end": 1169.4, "word": " تبعها", "probability": 0.92919921875}, {"start": 1169.4, "end": 1170.12, "word": " سالي", "probability": 0.7696126302083334}, {"start": 1170.12, "end": 1170.28, "word": " ب", "probability": 0.826171875}, {"start": 1170.28, "end": 1171.08, "word": " 2", "probability": 0.65087890625}, {"start": 1171.08, "end": 1171.82, "word": " و", "probability": 0.9375}, {"start": 1171.82, "end": 1172.36, "word": " 0", "probability": 0.3828125}, {"start": 1172.36, "end": 1173.1, "word": " و", "probability": 0.362548828125}, {"start": 1173.1, "end": 1173.4, "word": " ال", "probability": 0.9677734375}, {"start": 1173.4, "end": 1174.1, "word": " vertex", "probability": 0.76220703125}, {"start": 1174.1, "end": 1174.7, "word": " هي", "probability": 0.94189453125}, {"start": 1174.7, "end": 1175.34, "word": " نقطة", "probability": 0.9609375}, {"start": 1175.34, "end": 1175.88, "word": " الأصل", "probability": 0.786376953125}, {"start": 1175.88, "end": 1176.36, "word": " كما", "probability": 0.96484375}, {"start": 1176.36, "end": 1176.74, "word": " هي", "probability": 0.8955078125}, {"start": 1176.74, "end": 1177.5, "word": " لم", "probability": 0.89697265625}, {"start": 1177.5, "end": 1178.3, "word": " تتغير", "probability": 0.9952392578125}, {"start": 1178.3, "end": 1178.64, "word": " ندى", "probability": 0.55517578125}, {"start": 1178.64, "end": 1179.02, "word": " نشوف", "probability": 0.9925130208333334}, {"start": 1179.02, "end": 1179.6, "word": " المطلوب", "probability": 0.976806640625}, {"start": 1179.6, "end": 1180.0, "word": " الأول", "probability": 0.961669921875}, {"start": 1180.0, "end": 1181.28, "word": " المطلوب", "probability": 0.911865234375}, {"start": 1181.28, "end": 1181.62, "word": " الأول", "probability": 0.967041015625}, {"start": 1181.62, "end": 1181.9, "word": " قال", "probability": 0.8486328125}, {"start": 1181.9, "end": 1182.44, "word": " يهاتل", "probability": 0.54931640625}, {"start": 1182.44, "end": 1182.64, "word": " ال", "probability": 0.98974609375}, {"start": 1182.64, "end": 1183.26, "word": " vertex", "probability": 0.79443359375}, {"start": 1183.26, "end": 1184.02, "word": " يبقى", "probability": 0.9761962890625}, {"start": 1184.02, "end": 1184.14, "word": " ال", "probability": 0.990234375}, {"start": 1184.14, "end": 1184.5, "word": " vertex", "probability": 0.873046875}, {"start": 1184.5, "end": 1185.14, "word": " 00", "probability": 0.75244140625}, {"start": 1185.14, "end": 1185.54, "word": " لم", "probability": 0.91748046875}, {"start": 1185.54, "end": 1186.46, "word": " تتغير", "probability": 0.99755859375}], "temperature": 1.0}, {"id": 55, "seek": 120766, "start": 1186.82, "end": 1207.66, "text": "فبروح بقوله هنا the vertex is the origin اللي هي zero zero المطلب التاني قاللي هاتلي من ال focus البقرة يبقى باجي بقوله هنا the focus", "tokens": [5172, 26890, 2407, 5016, 4724, 39648, 3224, 34105, 264, 28162, 307, 264, 4957, 13672, 1829, 39896, 4018, 4018, 9673, 9566, 46152, 16712, 7649, 1829, 50239, 20292, 8032, 9307, 20292, 9154, 2423, 1879, 29739, 4587, 25720, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 264, 1879], "avg_logprob": -0.3571428668742277, "compression_ratio": 1.5037593984962405, "no_speech_prob": 0.0, "words": [{"start": 1186.82, "end": 1187.48, "word": "فبروح", "probability": 0.68853759765625}, {"start": 1187.48, "end": 1188.14, "word": " بقوله", "probability": 0.6673177083333334}, {"start": 1188.14, "end": 1188.56, "word": " هنا", "probability": 0.95166015625}, {"start": 1188.56, "end": 1188.84, "word": " the", "probability": 0.3134765625}, {"start": 1188.84, "end": 1190.5, "word": " vertex", "probability": 0.837890625}, {"start": 1190.5, "end": 1191.84, "word": " is", "probability": 0.9462890625}, {"start": 1191.84, "end": 1192.82, "word": " the", "probability": 0.89501953125}, {"start": 1192.82, "end": 1193.82, "word": " origin", "probability": 0.97265625}, {"start": 1193.82, "end": 1195.18, "word": " اللي", "probability": 0.6632080078125}, {"start": 1195.18, "end": 1195.34, "word": " هي", "probability": 0.33203125}, {"start": 1195.34, "end": 1195.64, "word": " zero", "probability": 0.38623046875}, {"start": 1195.64, "end": 1196.08, "word": " zero", "probability": 0.2392578125}, {"start": 1196.08, "end": 1197.96, "word": " المطلب", "probability": 0.8015950520833334}, {"start": 1197.96, "end": 1198.92, "word": " التاني", "probability": 0.8719075520833334}, {"start": 1198.92, "end": 1199.76, "word": " قاللي", "probability": 0.57958984375}, {"start": 1199.76, "end": 1200.28, "word": " هاتلي", "probability": 0.67529296875}, {"start": 1200.28, "end": 1200.7, "word": " من", "probability": 0.8583984375}, {"start": 1200.7, "end": 1201.22, "word": " ال", "probability": 0.85693359375}, {"start": 1201.22, "end": 1201.9, "word": " focus", "probability": 0.96533203125}, {"start": 1201.9, "end": 1203.16, "word": " البقرة", "probability": 0.8011067708333334}, {"start": 1203.16, "end": 1204.0, "word": " يبقى", "probability": 0.9608154296875}, {"start": 1204.0, "end": 1204.38, "word": " باجي", "probability": 0.6844889322916666}, {"start": 1204.38, "end": 1205.04, "word": " بقوله", "probability": 0.9036458333333334}, {"start": 1205.04, "end": 1205.52, "word": " هنا", "probability": 0.98828125}, {"start": 1205.52, "end": 1206.34, "word": " the", "probability": 0.6806640625}, {"start": 1206.34, "end": 1207.66, "word": " focus", "probability": 0.97265625}], "temperature": 1.0}, {"id": 56, "seek": 123273, "start": 1208.65, "end": 1232.73, "text": "is سالي باتنين وزيرو بعد ال focus جالي هات لل axis بروح بقوله هنا the axis is اللي هم هنا يا شباب محور X اللي معدلته Y تساوي زيرو is Y تساوي زيرو اللي هو ال X axis", "tokens": [271, 8608, 6027, 1829, 4724, 9307, 1863, 9957, 4032, 11622, 13546, 2407, 39182, 2423, 1879, 10874, 6027, 1829, 8032, 9307, 24976, 10298, 4724, 32887, 5016, 4724, 39648, 3224, 34105, 264, 10298, 307, 13672, 1829, 8032, 2304, 34105, 35186, 13412, 3555, 16758, 3714, 5016, 13063, 1783, 13672, 1829, 20449, 3215, 1211, 47395, 398, 6055, 3794, 995, 45865, 30767, 13546, 2407, 307, 398, 6055, 3794, 995, 45865, 30767, 13546, 2407, 13672, 1829, 31439, 2423, 1783, 10298], "avg_logprob": -0.291874996026357, "compression_ratio": 1.6928104575163399, "no_speech_prob": 0.0, "words": [{"start": 1208.65, "end": 1209.45, "word": "is", "probability": 0.06207275390625}, {"start": 1209.45, "end": 1210.51, "word": " سالي", "probability": 0.6035970052083334}, {"start": 1210.51, "end": 1211.31, "word": " باتنين", "probability": 0.724853515625}, {"start": 1211.31, "end": 1212.29, "word": " وزيرو", "probability": 0.63848876953125}, {"start": 1212.29, "end": 1212.95, "word": " بعد", "probability": 0.482177734375}, {"start": 1212.95, "end": 1213.15, "word": " ال", "probability": 0.62158203125}, {"start": 1213.15, "end": 1213.49, "word": " focus", "probability": 0.93408203125}, {"start": 1213.49, "end": 1213.99, "word": " جالي", "probability": 0.74169921875}, {"start": 1213.99, "end": 1214.33, "word": " هات", "probability": 0.606689453125}, {"start": 1214.33, "end": 1214.51, "word": " لل", "probability": 0.81787109375}, {"start": 1214.51, "end": 1215.11, "word": " axis", "probability": 0.233154296875}, {"start": 1215.11, "end": 1216.27, "word": " بروح", "probability": 0.9599609375}, {"start": 1216.27, "end": 1216.93, "word": " بقوله", "probability": 0.833984375}, {"start": 1216.93, "end": 1217.49, "word": " هنا", "probability": 0.96337890625}, {"start": 1217.49, "end": 1218.23, "word": " the", "probability": 0.3701171875}, {"start": 1218.23, "end": 1219.41, "word": " axis", "probability": 0.93896484375}, {"start": 1219.41, "end": 1220.23, "word": " is", "probability": 0.93798828125}, {"start": 1220.23, "end": 1220.79, "word": " اللي", "probability": 0.841552734375}, {"start": 1220.79, "end": 1220.99, "word": " هم", "probability": 0.686767578125}, {"start": 1220.99, "end": 1221.15, "word": " هنا", "probability": 0.8984375}, {"start": 1221.15, "end": 1221.37, "word": " يا", "probability": 0.544921875}, {"start": 1221.37, "end": 1221.75, "word": " شباب", "probability": 0.84619140625}, {"start": 1221.75, "end": 1223.11, "word": " محور", "probability": 0.9654947916666666}, {"start": 1223.11, "end": 1223.47, "word": " X", "probability": 0.54345703125}, {"start": 1223.47, "end": 1223.65, "word": " اللي", "probability": 0.869140625}, {"start": 1223.65, "end": 1224.59, "word": " معدلته", "probability": 0.902099609375}, {"start": 1224.59, "end": 1225.41, "word": " Y", "probability": 0.6884765625}, {"start": 1225.41, "end": 1226.17, "word": " تساوي", "probability": 0.958251953125}, {"start": 1226.17, "end": 1227.09, "word": " زيرو", "probability": 0.7864583333333334}, {"start": 1227.09, "end": 1227.67, "word": " is", "probability": 0.67138671875}, {"start": 1227.67, "end": 1228.43, "word": " Y", "probability": 0.96240234375}, {"start": 1228.43, "end": 1229.25, "word": " تساوي", "probability": 0.980712890625}, {"start": 1229.25, "end": 1230.03, "word": " زيرو", "probability": 0.9560546875}, {"start": 1230.03, "end": 1230.61, "word": " اللي", "probability": 0.947998046875}, {"start": 1230.61, "end": 1230.83, "word": " هو", "probability": 0.75634765625}, {"start": 1230.83, "end": 1231.07, "word": " ال", "probability": 0.8896484375}, {"start": 1231.07, "end": 1231.85, "word": " X", "probability": 0.9091796875}, {"start": 1231.85, "end": 1232.73, "word": " axis", "probability": 0.7998046875}], "temperature": 1.0}, {"id": 57, "seek": 126214, "start": 1233.68, "end": 1262.14, "text": "خلصنا النقطة التالتة النقطة الرابعة قال لي هات لمين ال directrix يبقى ال directrix وين بدي ييجي في الخلف شكل اللي عندنا ده معادلة x يساوي اتنين يبقى هذه المسافة جد المسافة هذه اتنين اذا هذه اتنين يبقى باجي بقوله هنا the directrix is x يساوي اتنين", "tokens": [9778, 1211, 9381, 8315, 28239, 47432, 3660, 16712, 6027, 2655, 3660, 28239, 47432, 3660, 34892, 16758, 27884, 50239, 32239, 8032, 9307, 32767, 9957, 2423, 2047, 6579, 7251, 3555, 4587, 7578, 2423, 2047, 6579, 4032, 9957, 4724, 16254, 7251, 1829, 7435, 1829, 8978, 33962, 46538, 13412, 28820, 13672, 1829, 43242, 8315, 11778, 3224, 20449, 18513, 37977, 2031, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 29538, 9673, 3794, 31845, 3660, 10874, 3215, 9673, 3794, 31845, 3660, 29538, 1975, 2655, 1863, 9957, 1975, 15730, 29538, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 264, 2047, 6579, 307, 2031, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957], "avg_logprob": -0.21686422413793102, "compression_ratio": 2.0913705583756346, "no_speech_prob": 0.0, "words": [{"start": 1233.68, "end": 1234.32, "word": "خلصنا", "probability": 0.75433349609375}, {"start": 1234.32, "end": 1234.78, "word": " النقطة", "probability": 0.9431966145833334}, {"start": 1234.78, "end": 1235.22, "word": " التالتة", "probability": 0.9603271484375}, {"start": 1235.22, "end": 1235.66, "word": " النقطة", "probability": 0.9069010416666666}, {"start": 1235.66, "end": 1235.94, "word": " الرابعة", "probability": 0.951171875}, {"start": 1235.94, "end": 1236.16, "word": " قال", "probability": 0.55126953125}, {"start": 1236.16, "end": 1236.26, "word": " لي", "probability": 0.224853515625}, {"start": 1236.26, "end": 1236.48, "word": " هات", "probability": 0.6650390625}, {"start": 1236.48, "end": 1237.04, "word": " لمين", "probability": 0.568115234375}, {"start": 1237.04, "end": 1237.8, "word": " ال", "probability": 0.79931640625}, {"start": 1237.8, "end": 1238.76, "word": " directrix", "probability": 0.57275390625}, {"start": 1238.76, "end": 1239.0, "word": " يبقى", "probability": 0.845947265625}, {"start": 1239.0, "end": 1239.14, "word": " ال", "probability": 0.865234375}, {"start": 1239.14, "end": 1239.72, "word": " directrix", "probability": 0.9140625}, {"start": 1239.72, "end": 1240.02, "word": " وين", "probability": 0.6123046875}, {"start": 1240.02, "end": 1240.36, "word": " بدي", "probability": 0.6431884765625}, {"start": 1240.36, "end": 1240.88, "word": " ييجي", "probability": 0.88623046875}, {"start": 1240.88, "end": 1241.62, "word": " في", "probability": 0.381591796875}, {"start": 1241.62, "end": 1242.54, "word": " الخلف", "probability": 0.95556640625}, {"start": 1242.54, "end": 1243.7, "word": " شكل", "probability": 0.6378173828125}, {"start": 1243.7, "end": 1243.88, "word": " اللي", "probability": 0.960205078125}, {"start": 1243.88, "end": 1244.26, "word": " عندنا", "probability": 0.80322265625}, {"start": 1244.26, "end": 1244.54, "word": " ده", "probability": 0.59375}, {"start": 1244.54, "end": 1245.18, "word": " معادلة", "probability": 0.7986653645833334}, {"start": 1245.18, "end": 1245.58, "word": " x", "probability": 0.388916015625}, {"start": 1245.58, "end": 1246.42, "word": " يساوي", "probability": 0.8907470703125}, {"start": 1246.42, "end": 1248.14, "word": " اتنين", "probability": 0.9205322265625}, {"start": 1248.14, "end": 1248.48, "word": " يبقى", "probability": 0.9573974609375}, {"start": 1248.48, "end": 1248.68, "word": " هذه", "probability": 0.5283203125}, {"start": 1248.68, "end": 1249.54, "word": " المسافة", "probability": 0.97314453125}, {"start": 1249.54, "end": 1249.96, "word": " جد", "probability": 0.919677734375}, {"start": 1249.96, "end": 1250.62, "word": " المسافة", "probability": 0.981689453125}, {"start": 1250.62, "end": 1250.96, "word": " هذه", "probability": 0.55859375}, {"start": 1250.96, "end": 1251.5, "word": " اتنين", "probability": 0.9854736328125}, {"start": 1251.5, "end": 1251.74, "word": " اذا", "probability": 0.6337890625}, {"start": 1251.74, "end": 1252.12, "word": " هذه", "probability": 0.71533203125}, {"start": 1252.12, "end": 1253.04, "word": " اتنين", "probability": 0.9947509765625}, {"start": 1253.04, "end": 1253.52, "word": " يبقى", "probability": 0.9835205078125}, {"start": 1253.52, "end": 1253.94, "word": " باجي", "probability": 0.8597005208333334}, {"start": 1253.94, "end": 1254.56, "word": " بقوله", "probability": 0.8509114583333334}, {"start": 1254.56, "end": 1255.2, "word": " هنا", "probability": 0.9765625}, {"start": 1255.2, "end": 1255.96, "word": " the", "probability": 0.366943359375}, {"start": 1255.96, "end": 1258.52, "word": " directrix", "probability": 0.93017578125}, {"start": 1258.52, "end": 1259.58, "word": " is", "probability": 0.93115234375}, {"start": 1259.58, "end": 1260.38, "word": " x", "probability": 0.9765625}, {"start": 1260.38, "end": 1261.44, "word": " يساوي", "probability": 0.961669921875}, {"start": 1261.44, "end": 1262.14, "word": " اتنين", "probability": 0.9854736328125}], "temperature": 1.0}, {"id": 58, "seek": 128790, "start": 1262.62, "end": 1287.9, "text": "يبقى هذه أبسط أنواع المسائل اللي عندنا نيجي للسؤال الثاني لو اطلعنا للسؤال الثاني نمرة B بنلاحظ انه بدي اختلف كليا عن مين عن نمرة A ايش وجه الاختلاف ففكري بيجي عندي ان اعمل اكمال للمربع جداش هذي بدها مشان أصير مربع كامل؟", "tokens": [1829, 3555, 4587, 7578, 29538, 5551, 3555, 3794, 9566, 14739, 14407, 3615, 9673, 3794, 16373, 1211, 13672, 1829, 43242, 8315, 8717, 1829, 7435, 1829, 24976, 3794, 33604, 6027, 6024, 104, 7649, 1829, 45164, 1975, 9566, 1211, 3615, 8315, 24976, 3794, 33604, 6027, 6024, 104, 7649, 1829, 8717, 2304, 25720, 363, 44945, 15040, 5016, 19913, 16472, 3224, 4724, 16254, 1975, 46456, 46538, 9122, 20292, 995, 18871, 3714, 9957, 18871, 8717, 2304, 25720, 316, 1975, 1829, 8592, 49610, 3224, 2423, 47283, 2655, 15040, 5172, 6156, 5172, 4117, 16572, 4724, 1829, 7435, 1829, 18871, 16254, 16472, 1975, 25957, 1211, 1975, 24793, 6027, 5296, 19528, 25513, 3615, 10874, 3215, 33599, 8032, 8848, 1829, 47525, 11296, 37893, 7649, 5551, 9381, 13546, 3714, 25513, 3615, 9122, 10943, 1211, 22807], "avg_logprob": -0.23979333980429557, "compression_ratio": 1.8591549295774648, "no_speech_prob": 0.0, "words": [{"start": 1262.62, "end": 1263.06, "word": "يبقى", "probability": 0.76483154296875}, {"start": 1263.06, "end": 1263.3, "word": " هذه", "probability": 0.7099609375}, {"start": 1263.3, "end": 1263.98, "word": " أبسط", "probability": 0.967041015625}, {"start": 1263.98, "end": 1264.9, "word": " أنواع", "probability": 0.97412109375}, {"start": 1264.9, "end": 1266.42, "word": " المسائل", "probability": 0.9390869140625}, {"start": 1266.42, "end": 1267.18, "word": " اللي", "probability": 0.923583984375}, {"start": 1267.18, "end": 1267.56, "word": " عندنا", "probability": 0.78271484375}, {"start": 1267.56, "end": 1267.9, "word": " نيجي", "probability": 0.773193359375}, {"start": 1267.9, "end": 1268.56, "word": " للسؤال", "probability": 0.9539794921875}, {"start": 1268.56, "end": 1269.26, "word": " الثاني", "probability": 0.9632568359375}, {"start": 1269.26, "end": 1269.96, "word": " لو", "probability": 0.76220703125}, {"start": 1269.96, "end": 1270.6, "word": " اطلعنا", "probability": 0.790234375}, {"start": 1270.6, "end": 1271.18, "word": " للسؤال", "probability": 0.9639892578125}, {"start": 1271.18, "end": 1271.62, "word": " الثاني", "probability": 0.9244384765625}, {"start": 1271.62, "end": 1272.08, "word": " نمرة", "probability": 0.6163736979166666}, {"start": 1272.08, "end": 1272.44, "word": " B", "probability": 0.486572265625}, {"start": 1272.44, "end": 1273.66, "word": " بنلاحظ", "probability": 0.74371337890625}, {"start": 1273.66, "end": 1273.88, "word": " انه", "probability": 0.7095947265625}, {"start": 1273.88, "end": 1274.16, "word": " بدي", "probability": 0.7120361328125}, {"start": 1274.16, "end": 1274.78, "word": " اختلف", "probability": 0.8326822916666666}, {"start": 1274.78, "end": 1275.48, "word": " كليا", "probability": 0.8307291666666666}, {"start": 1275.48, "end": 1275.74, "word": " عن", "probability": 0.4755859375}, {"start": 1275.74, "end": 1276.16, "word": " مين", "probability": 0.7060546875}, {"start": 1276.16, "end": 1277.14, "word": " عن", "probability": 0.62060546875}, {"start": 1277.14, "end": 1277.92, "word": " نمرة", "probability": 0.9462890625}, {"start": 1277.92, "end": 1278.46, "word": " A", "probability": 0.73681640625}, {"start": 1278.46, "end": 1279.36, "word": " ايش", "probability": 0.7967936197916666}, {"start": 1279.36, "end": 1279.8, "word": " وجه", "probability": 0.958740234375}, {"start": 1279.8, "end": 1280.7, "word": " الاختلاف", "probability": 0.9310546875}, {"start": 1280.7, "end": 1281.24, "word": " ففكري", "probability": 0.559844970703125}, {"start": 1281.24, "end": 1281.62, "word": " بيجي", "probability": 0.9605712890625}, {"start": 1281.62, "end": 1281.98, "word": " عندي", "probability": 0.657470703125}, {"start": 1281.98, "end": 1282.16, "word": " ان", "probability": 0.7900390625}, {"start": 1282.16, "end": 1282.7, "word": " اعمل", "probability": 0.91064453125}, {"start": 1282.7, "end": 1283.44, "word": " اكمال", "probability": 0.921875}, {"start": 1283.44, "end": 1284.3, "word": " للمربع", "probability": 0.9342041015625}, {"start": 1284.3, "end": 1285.24, "word": " جداش", "probability": 0.4153645833333333}, {"start": 1285.24, "end": 1285.6, "word": " هذي", "probability": 0.5721028645833334}, {"start": 1285.6, "end": 1285.84, "word": " بدها", "probability": 0.91943359375}, {"start": 1285.84, "end": 1286.18, "word": " مشان", "probability": 0.691162109375}, {"start": 1286.18, "end": 1286.48, "word": " أصير", "probability": 0.8136393229166666}, {"start": 1286.48, "end": 1287.06, "word": " مربع", "probability": 0.99462890625}, {"start": 1287.06, "end": 1287.9, "word": " كامل؟", "probability": 0.97509765625}], "temperature": 1.0}, {"id": 59, "seek": 129919, "start": 1288.39, "end": 1299.19, "text": "تسعة زي اللي موجودة من عند الجيران بناخدها من عندهم تسعة مقدر أخدها من السبعتاشر بضل قداش زي التسعة زي التمانية", "tokens": [2655, 3794, 27884, 30767, 1829, 13672, 1829, 3714, 29245, 23328, 3660, 9154, 43242, 25724, 13546, 7649, 44945, 47283, 3215, 11296, 9154, 43242, 16095, 6055, 3794, 27884, 3714, 28543, 2288, 5551, 9778, 3215, 11296, 9154, 21136, 3555, 34268, 33599, 2288, 4724, 11242, 1211, 12174, 3215, 33599, 30767, 1829, 16712, 3794, 27884, 30767, 1829, 16712, 2304, 7649, 10632], "avg_logprob": -0.2745339870452881, "compression_ratio": 1.6974789915966386, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1288.39, "end": 1288.99, "word": "تسعة", "probability": 0.7655436197916666}, {"start": 1288.99, "end": 1289.59, "word": " زي", "probability": 0.776123046875}, {"start": 1289.59, "end": 1289.71, "word": " اللي", "probability": 0.536376953125}, {"start": 1289.71, "end": 1290.09, "word": " موجودة", "probability": 0.9642333984375}, {"start": 1290.09, "end": 1290.23, "word": " من", "probability": 0.51513671875}, {"start": 1290.23, "end": 1290.41, "word": " عند", "probability": 0.97314453125}, {"start": 1290.41, "end": 1290.93, "word": " الجيران", "probability": 0.724609375}, {"start": 1290.93, "end": 1291.53, "word": " بناخدها", "probability": 0.8695068359375}, {"start": 1291.53, "end": 1291.71, "word": " من", "probability": 0.98046875}, {"start": 1291.71, "end": 1292.23, "word": " عندهم", "probability": 0.94140625}, {"start": 1292.23, "end": 1292.97, "word": " تسعة", "probability": 0.7630208333333334}, {"start": 1292.97, "end": 1293.31, "word": " مقدر", "probability": 0.6697591145833334}, {"start": 1293.31, "end": 1293.65, "word": " أخدها", "probability": 0.8443603515625}, {"start": 1293.65, "end": 1293.77, "word": " من", "probability": 0.9775390625}, {"start": 1293.77, "end": 1294.57, "word": " السبعتاشر", "probability": 0.703466796875}, {"start": 1294.57, "end": 1294.85, "word": " بضل", "probability": 0.5630696614583334}, {"start": 1294.85, "end": 1295.67, "word": " قداش", "probability": 0.6778971354166666}, {"start": 1295.67, "end": 1296.75, "word": " زي", "probability": 0.8017578125}, {"start": 1296.75, "end": 1297.63, "word": " التسعة", "probability": 0.9651692708333334}, {"start": 1297.63, "end": 1298.29, "word": " زي", "probability": 0.986572265625}, {"start": 1298.29, "end": 1299.19, "word": " التمانية", "probability": 0.9188232421875}], "temperature": 1.0}, {"id": 60, "seek": 132628, "start": 1299.8, "end": 1326.28, "text": "طب التمانية نقولها لي على الشجة التانية بصير تمانية Y ناقص تمانية يساوي X تربية زائد ستة X زائد تسعة وإن شئتم فقولوا هاي تمانية عامل مشترك بيظل Y ناقص واحد بديه يساوي مين؟ بديه يساوي X زائد تلاتة لكل تربية", "tokens": [9566, 3555, 16712, 2304, 7649, 10632, 8717, 39648, 11296, 32239, 15844, 25124, 7435, 3660, 16712, 7649, 10632, 4724, 9381, 13546, 46811, 7649, 10632, 398, 8717, 995, 4587, 9381, 46811, 7649, 10632, 7251, 3794, 995, 45865, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 8608, 2655, 3660, 1783, 30767, 16373, 3215, 6055, 3794, 27884, 4032, 28814, 1863, 13412, 19986, 39237, 6156, 39648, 14407, 8032, 47302, 46811, 7649, 10632, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 1829, 19913, 1211, 398, 8717, 995, 4587, 9381, 36764, 24401, 4724, 16254, 3224, 7251, 3794, 995, 45865, 3714, 9957, 22807, 4724, 16254, 3224, 7251, 3794, 995, 45865, 1783, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632], "avg_logprob": -0.16419955421435206, "compression_ratio": 2.0277777777777777, "no_speech_prob": 0.0, "words": [{"start": 1299.8, "end": 1300.1, "word": "طب", "probability": 0.51885986328125}, {"start": 1300.1, "end": 1300.66, "word": " التمانية", "probability": 0.78387451171875}, {"start": 1300.66, "end": 1301.12, "word": " نقولها", "probability": 0.845703125}, {"start": 1301.12, "end": 1301.26, "word": " لي", "probability": 0.468017578125}, {"start": 1301.26, "end": 1301.42, "word": " على", "probability": 0.4951171875}, {"start": 1301.42, "end": 1301.96, "word": " الشجة", "probability": 0.7835286458333334}, {"start": 1301.96, "end": 1302.38, "word": " التانية", "probability": 0.9879557291666666}, {"start": 1302.38, "end": 1303.02, "word": " بصير", "probability": 0.7222493489583334}, {"start": 1303.02, "end": 1303.92, "word": " تمانية", "probability": 0.9093424479166666}, {"start": 1303.92, "end": 1304.56, "word": " Y", "probability": 0.62548828125}, {"start": 1304.56, "end": 1305.66, "word": " ناقص", "probability": 0.9560546875}, {"start": 1305.66, "end": 1306.3, "word": " تمانية", "probability": 0.9695638020833334}, {"start": 1306.3, "end": 1307.02, "word": " يساوي", "probability": 0.90869140625}, {"start": 1307.02, "end": 1307.42, "word": " X", "probability": 0.94384765625}, {"start": 1307.42, "end": 1308.06, "word": " تربية", "probability": 0.8109537760416666}, {"start": 1308.06, "end": 1308.7, "word": " زائد", "probability": 0.828125}, {"start": 1308.7, "end": 1309.44, "word": " ستة", "probability": 0.9264322916666666}, {"start": 1309.44, "end": 1309.76, "word": " X", "probability": 0.95654296875}, {"start": 1309.76, "end": 1310.86, "word": " زائد", "probability": 0.97265625}, {"start": 1310.86, "end": 1311.4, "word": " تسعة", "probability": 0.9851888020833334}, {"start": 1311.4, "end": 1311.82, "word": " وإن", "probability": 0.62548828125}, {"start": 1311.82, "end": 1312.52, "word": " شئتم", "probability": 0.95068359375}, {"start": 1312.52, "end": 1313.84, "word": " فقولوا", "probability": 0.962890625}, {"start": 1313.84, "end": 1314.66, "word": " هاي", "probability": 0.736328125}, {"start": 1314.66, "end": 1315.32, "word": " تمانية", "probability": 0.9811197916666666}, {"start": 1315.32, "end": 1315.84, "word": " عامل", "probability": 0.9850260416666666}, {"start": 1315.84, "end": 1316.56, "word": " مشترك", "probability": 0.9710286458333334}, {"start": 1316.56, "end": 1317.5, "word": " بيظل", "probability": 0.69049072265625}, {"start": 1317.5, "end": 1318.12, "word": " Y", "probability": 0.98193359375}, {"start": 1318.12, "end": 1319.06, "word": " ناقص", "probability": 0.9892578125}, {"start": 1319.06, "end": 1319.66, "word": " واحد", "probability": 0.99072265625}, {"start": 1319.66, "end": 1320.48, "word": " بديه", "probability": 0.4364420572916667}, {"start": 1320.48, "end": 1320.9, "word": " يساوي", "probability": 0.92431640625}, {"start": 1320.9, "end": 1321.44, "word": " مين؟", "probability": 0.8414713541666666}, {"start": 1321.44, "end": 1321.98, "word": " بديه", "probability": 0.9640299479166666}, {"start": 1321.98, "end": 1322.42, "word": " يساوي", "probability": 0.9891357421875}, {"start": 1322.42, "end": 1323.06, "word": " X", "probability": 0.99365234375}, {"start": 1323.06, "end": 1324.3, "word": " زائد", "probability": 0.9835611979166666}, {"start": 1324.3, "end": 1325.1, "word": " تلاتة", "probability": 0.9781494140625}, {"start": 1325.1, "end": 1325.58, "word": " لكل", "probability": 0.969970703125}, {"start": 1325.58, "end": 1326.28, "word": " تربية", "probability": 0.93701171875}], "temperature": 1.0}, {"id": 61, "seek": 134268, "start": 1328.04, "end": 1342.68, "text": "يبقى صارت كإنها X تربيع يساوي أربعة PY، مصدور؟ بس العمل اللي هي shift باجي بقول ال vertex على طول الخط", "tokens": [1829, 3555, 4587, 7578, 20328, 9640, 2655, 9122, 28814, 1863, 11296, 1783, 6055, 2288, 21292, 3615, 7251, 3794, 995, 45865, 5551, 25513, 27884, 430, 56, 12399, 3714, 9381, 3215, 13063, 22807, 4724, 3794, 18863, 42213, 13672, 1829, 39896, 5513, 4724, 26108, 1829, 4724, 39648, 2423, 28162, 15844, 23032, 12610, 33962, 9566], "avg_logprob": -0.3305288593356426, "compression_ratio": 1.2686567164179106, "no_speech_prob": 0.0, "words": [{"start": 1328.04, "end": 1329.32, "word": "يبقى", "probability": 0.783447265625}, {"start": 1329.32, "end": 1330.04, "word": " صارت", "probability": 0.7098795572916666}, {"start": 1330.04, "end": 1330.9, "word": " كإنها", "probability": 0.8253173828125}, {"start": 1330.9, "end": 1331.48, "word": " X", "probability": 0.56640625}, {"start": 1331.48, "end": 1332.42, "word": " تربيع", "probability": 0.8641357421875}, {"start": 1332.42, "end": 1333.24, "word": " يساوي", "probability": 0.802734375}, {"start": 1333.24, "end": 1334.16, "word": " أربعة", "probability": 0.7374674479166666}, {"start": 1334.16, "end": 1335.9, "word": " PY،", "probability": 0.53759765625}, {"start": 1335.9, "end": 1337.02, "word": " مصدور؟", "probability": 0.748876953125}, {"start": 1337.02, "end": 1337.58, "word": " بس", "probability": 0.720947265625}, {"start": 1337.58, "end": 1338.04, "word": " العمل", "probability": 0.69970703125}, {"start": 1338.04, "end": 1338.18, "word": " اللي", "probability": 0.855712890625}, {"start": 1338.18, "end": 1338.5, "word": " هي", "probability": 0.73583984375}, {"start": 1338.5, "end": 1339.4, "word": " shift", "probability": 0.560546875}, {"start": 1339.4, "end": 1340.2, "word": " باجي", "probability": 0.699951171875}, {"start": 1340.2, "end": 1340.56, "word": " بقول", "probability": 0.938232421875}, {"start": 1340.56, "end": 1340.76, "word": " ال", "probability": 0.974609375}, {"start": 1340.76, "end": 1341.14, "word": " vertex", "probability": 0.65380859375}, {"start": 1341.14, "end": 1341.6, "word": " على", "probability": 0.86474609375}, {"start": 1341.6, "end": 1342.04, "word": " طول", "probability": 0.99658203125}, {"start": 1342.04, "end": 1342.68, "word": " الخط", "probability": 0.947509765625}], "temperature": 1.0}, {"id": 62, "seek": 137308, "start": 1349.22, "end": 1373.08, "text": "جد ال H دائما مع X كي دائما مع Y يبقى ال H هنا عندى بقدرش سالب تلاتة وال Y بقدرش واحد تمام بدى الأربعة P تسوى جداش عندى هنا تمام تمانية تمانية تعني ان P تسوى جداش اتنى", "tokens": [7435, 3215, 2423, 389, 11778, 16373, 15042, 20449, 1783, 9122, 1829, 11778, 16373, 15042, 20449, 398, 7251, 3555, 4587, 7578, 2423, 389, 34105, 43242, 7578, 4724, 28543, 2288, 8592, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 16070, 398, 4724, 28543, 2288, 8592, 36764, 24401, 46811, 10943, 47525, 7578, 16247, 25513, 27884, 430, 6055, 3794, 2407, 7578, 10874, 3215, 33599, 43242, 7578, 34105, 46811, 10943, 46811, 7649, 10632, 46811, 7649, 10632, 37279, 22653, 16472, 430, 6055, 3794, 2407, 7578, 10874, 3215, 33599, 1975, 2655, 1863, 7578], "avg_logprob": -0.30505087139994597, "compression_ratio": 1.9395973154362416, "no_speech_prob": 0.0, "words": [{"start": 1349.22, "end": 1349.78, "word": "جد", "probability": 0.4956512451171875}, {"start": 1349.78, "end": 1349.92, "word": " ال", "probability": 0.8115234375}, {"start": 1349.92, "end": 1350.3, "word": " H", "probability": 0.63525390625}, {"start": 1350.3, "end": 1350.82, "word": " دائما", "probability": 0.8445638020833334}, {"start": 1350.82, "end": 1351.16, "word": " مع", "probability": 0.93408203125}, {"start": 1351.16, "end": 1351.66, "word": " X", "probability": 0.76953125}, {"start": 1351.66, "end": 1352.2, "word": " كي", "probability": 0.6424560546875}, {"start": 1352.2, "end": 1352.94, "word": " دائما", "probability": 0.8439127604166666}, {"start": 1352.94, "end": 1353.22, "word": " مع", "probability": 0.5947265625}, {"start": 1353.22, "end": 1354.64, "word": " Y", "probability": 0.7548828125}, {"start": 1354.64, "end": 1355.04, "word": " يبقى", "probability": 0.90185546875}, {"start": 1355.04, "end": 1355.16, "word": " ال", "probability": 0.96142578125}, {"start": 1355.16, "end": 1355.4, "word": " H", "probability": 0.90673828125}, {"start": 1355.4, "end": 1355.72, "word": " هنا", "probability": 0.70263671875}, {"start": 1355.72, "end": 1355.98, "word": " عندى", "probability": 0.68408203125}, {"start": 1355.98, "end": 1356.66, "word": " بقدرش", "probability": 0.77105712890625}, {"start": 1356.66, "end": 1357.86, "word": " سالب", "probability": 0.7345377604166666}, {"start": 1357.86, "end": 1358.44, "word": " تلاتة", "probability": 0.793212890625}, {"start": 1358.44, "end": 1358.66, "word": " وال", "probability": 0.529296875}, {"start": 1358.66, "end": 1358.9, "word": " Y", "probability": 0.74853515625}, {"start": 1358.9, "end": 1359.74, "word": " بقدرش", "probability": 0.968994140625}, {"start": 1359.74, "end": 1360.84, "word": " واحد", "probability": 0.62054443359375}, {"start": 1360.84, "end": 1361.68, "word": " تمام", "probability": 0.822998046875}, {"start": 1361.68, "end": 1362.64, "word": " بدى", "probability": 0.4053955078125}, {"start": 1362.64, "end": 1363.44, "word": " الأربعة", "probability": 0.8658854166666666}, {"start": 1363.44, "end": 1363.94, "word": " P", "probability": 0.9736328125}, {"start": 1363.94, "end": 1365.44, "word": " تسوى", "probability": 0.6727294921875}, {"start": 1365.44, "end": 1365.82, "word": " جداش", "probability": 0.6555989583333334}, {"start": 1365.82, "end": 1366.16, "word": " عندى", "probability": 0.59765625}, {"start": 1366.16, "end": 1366.36, "word": " هنا", "probability": 0.8984375}, {"start": 1366.36, "end": 1366.96, "word": " تمام", "probability": 0.927001953125}, {"start": 1366.96, "end": 1368.26, "word": " تمانية", "probability": 0.9117838541666666}, {"start": 1368.26, "end": 1369.22, "word": " تمانية", "probability": 0.7997233072916666}, {"start": 1369.22, "end": 1369.84, "word": " تعني", "probability": 0.664794921875}, {"start": 1369.84, "end": 1370.26, "word": " ان", "probability": 0.5029296875}, {"start": 1370.26, "end": 1370.82, "word": " P", "probability": 0.91748046875}, {"start": 1370.82, "end": 1371.54, "word": " تسوى", "probability": 0.9632568359375}, {"start": 1371.54, "end": 1372.3, "word": " جداش", "probability": 0.9344075520833334}, {"start": 1372.3, "end": 1373.08, "word": " اتنى", "probability": 0.80645751953125}], "temperature": 1.0}, {"id": 63, "seek": 138764, "start": 1373.44, "end": 1387.64, "text": "الان عشان اجيب الباقي بالضروح ارسم الرسمة يبقى باقي بقوله هذا الرسمة اللي عندنا، هذا محور X، هذا محور Y، هذه نقطة الأصل اللي عندنا", "tokens": [6027, 7649, 6225, 8592, 7649, 1975, 7435, 1829, 3555, 29739, 995, 38436, 20666, 11242, 32887, 5016, 1975, 2288, 38251, 34892, 38251, 3660, 7251, 3555, 4587, 7578, 4724, 995, 38436, 4724, 39648, 3224, 23758, 34892, 38251, 3660, 13672, 1829, 43242, 8315, 12399, 23758, 3714, 5016, 13063, 1783, 12399, 23758, 3714, 5016, 13063, 398, 12399, 29538, 8717, 47432, 3660, 16247, 36520, 13672, 1829, 43242, 8315], "avg_logprob": -0.2382812504656613, "compression_ratio": 1.828125, "no_speech_prob": 0.0, "words": [{"start": 1373.44, "end": 1373.98, "word": "الان", "probability": 0.64453125}, {"start": 1373.98, "end": 1374.38, "word": " عشان", "probability": 0.656982421875}, {"start": 1374.38, "end": 1374.76, "word": " اجيب", "probability": 0.7523193359375}, {"start": 1374.76, "end": 1375.16, "word": " الباقي", "probability": 0.536376953125}, {"start": 1375.16, "end": 1376.08, "word": " بالضروح", "probability": 0.861328125}, {"start": 1376.08, "end": 1376.7, "word": " ارسم", "probability": 0.880859375}, {"start": 1376.7, "end": 1377.58, "word": " الرسمة", "probability": 0.96337890625}, {"start": 1377.58, "end": 1378.4, "word": " يبقى", "probability": 0.8828125}, {"start": 1378.4, "end": 1378.72, "word": " باقي", "probability": 0.79052734375}, {"start": 1378.72, "end": 1379.4, "word": " بقوله", "probability": 0.6092936197916666}, {"start": 1379.4, "end": 1379.94, "word": " هذا", "probability": 0.888671875}, {"start": 1379.94, "end": 1380.68, "word": " الرسمة", "probability": 0.9078776041666666}, {"start": 1380.68, "end": 1380.88, "word": " اللي", "probability": 0.797607421875}, {"start": 1380.88, "end": 1381.76, "word": " عندنا،", "probability": 0.7936197916666666}, {"start": 1381.76, "end": 1382.1, "word": " هذا", "probability": 0.900390625}, {"start": 1382.1, "end": 1382.74, "word": " محور", "probability": 0.9786783854166666}, {"start": 1382.74, "end": 1383.6, "word": " X،", "probability": 0.78564453125}, {"start": 1383.6, "end": 1383.96, "word": " هذا", "probability": 0.94921875}, {"start": 1383.96, "end": 1384.58, "word": " محور", "probability": 0.97802734375}, {"start": 1384.58, "end": 1385.34, "word": " Y،", "probability": 0.9677734375}, {"start": 1385.34, "end": 1385.64, "word": " هذه", "probability": 0.41796875}, {"start": 1385.64, "end": 1386.1, "word": " نقطة", "probability": 0.9637044270833334}, {"start": 1386.1, "end": 1386.74, "word": " الأصل", "probability": 0.764892578125}, {"start": 1386.74, "end": 1387.46, "word": " اللي", "probability": 0.980224609375}, {"start": 1387.46, "end": 1387.64, "word": " عندنا", "probability": 0.983642578125}], "temperature": 1.0}, {"id": 64, "seek": 140882, "start": 1388.36, "end": 1408.82, "text": "أول شيء يجب أن نفعله هو الـ Vertex الـ Vertex جداش عنا سالب تلاتة واحد يبقى بإننا نتحرك جهة الشمال بسالب تلاتة و نقلع فوق بمقدار الواحد يبقى هذه النقطة ليه سالب تلاتة واحد بعد هيك", "tokens": [10721, 12610, 44049, 38207, 7251, 7435, 3555, 14739, 8717, 5172, 30241, 3224, 31439, 2423, 39184, 21044, 3121, 2423, 39184, 21044, 3121, 10874, 3215, 33599, 6225, 8315, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 28814, 1863, 8315, 8717, 2655, 5016, 31747, 10874, 3224, 3660, 25124, 2304, 6027, 4724, 3794, 6027, 3555, 6055, 1211, 9307, 3660, 4032, 8717, 4587, 1211, 3615, 6156, 30543, 4724, 2304, 28543, 9640, 2423, 14407, 24401, 7251, 3555, 4587, 7578, 29538, 28239, 47432, 3660, 32239, 3224, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 36764, 24401, 39182, 39896, 4117], "avg_logprob": -0.3005420830176801, "compression_ratio": 1.7976878612716762, "no_speech_prob": 0.0, "words": [{"start": 1388.36, "end": 1388.86, "word": "أول", "probability": 0.769287109375}, {"start": 1388.86, "end": 1389.18, "word": " شيء", "probability": 0.4825439453125}, {"start": 1389.18, "end": 1389.36, "word": " يجب", "probability": 0.7061360677083334}, {"start": 1389.36, "end": 1389.42, "word": " أن", "probability": 0.46533203125}, {"start": 1389.42, "end": 1389.98, "word": " نفعله", "probability": 0.9200439453125}, {"start": 1389.98, "end": 1390.36, "word": " هو", "probability": 0.9736328125}, {"start": 1390.36, "end": 1390.62, "word": " الـ", "probability": 0.48828125}, {"start": 1390.62, "end": 1391.44, "word": " Vertex", "probability": 0.478271484375}, {"start": 1391.44, "end": 1391.88, "word": " الـ", "probability": 0.43017578125}, {"start": 1391.88, "end": 1392.3, "word": " Vertex", "probability": 0.6212158203125}, {"start": 1392.3, "end": 1392.92, "word": " جداش", "probability": 0.5395100911458334}, {"start": 1392.92, "end": 1393.42, "word": " عنا", "probability": 0.50909423828125}, {"start": 1393.42, "end": 1394.38, "word": " سالب", "probability": 0.71826171875}, {"start": 1394.38, "end": 1394.96, "word": " تلاتة", "probability": 0.8306884765625}, {"start": 1394.96, "end": 1395.38, "word": " واحد", "probability": 0.86376953125}, {"start": 1395.38, "end": 1395.76, "word": " يبقى", "probability": 0.867431640625}, {"start": 1395.76, "end": 1396.08, "word": " بإننا", "probability": 0.4910888671875}, {"start": 1396.08, "end": 1396.78, "word": " نتحرك", "probability": 0.9884033203125}, {"start": 1396.78, "end": 1397.3, "word": " جهة", "probability": 0.9454752604166666}, {"start": 1397.3, "end": 1398.06, "word": " الشمال", "probability": 0.9892578125}, {"start": 1398.06, "end": 1399.18, "word": " بسالب", "probability": 0.92822265625}, {"start": 1399.18, "end": 1399.92, "word": " تلاتة", "probability": 0.968505859375}, {"start": 1399.92, "end": 1400.32, "word": " و", "probability": 0.90576171875}, {"start": 1400.32, "end": 1400.88, "word": " نقلع", "probability": 0.71759033203125}, {"start": 1400.88, "end": 1401.36, "word": " فوق", "probability": 0.958740234375}, {"start": 1401.36, "end": 1402.54, "word": " بمقدار", "probability": 0.9815673828125}, {"start": 1402.54, "end": 1403.36, "word": " الواحد", "probability": 0.8636067708333334}, {"start": 1403.36, "end": 1404.4, "word": " يبقى", "probability": 0.9495849609375}, {"start": 1404.4, "end": 1404.7, "word": " هذه", "probability": 0.712890625}, {"start": 1404.7, "end": 1405.26, "word": " النقطة", "probability": 0.970703125}, {"start": 1405.26, "end": 1405.6, "word": " ليه", "probability": 0.6068115234375}, {"start": 1405.6, "end": 1406.28, "word": " سالب", "probability": 0.9479166666666666}, {"start": 1406.28, "end": 1407.44, "word": " تلاتة", "probability": 0.9842529296875}, {"start": 1407.44, "end": 1407.98, "word": " واحد", "probability": 0.85986328125}, {"start": 1407.98, "end": 1408.44, "word": " بعد", "probability": 0.6279296875}, {"start": 1408.44, "end": 1408.82, "word": " هيك", "probability": 0.69970703125}], "temperature": 1.0}, {"id": 65, "seek": 143393, "start": 1409.23, "end": 1433.93, "text": "بنتشوف هل ال parabola مفتوح لليمين، لليشمال، إلى أعلى، إلى أسفل، برجع للمعادلة وين المعادلة هيها؟ الحمد لله ماعناش سالب، يبقى بالموجب، إذا مفتوحة إما جهة اليمين أو إلى أعلى لإنه ماعنديش سالب، بعدين بفطلع، هذه في الأصل X تربية يساوي أربعة PY", "tokens": [3555, 29399, 8592, 38688, 8032, 1211, 2423, 45729, 4711, 3714, 5172, 2655, 2407, 5016, 5296, 20292, 2304, 9957, 12399, 5296, 20292, 8592, 2304, 6027, 12399, 30731, 5551, 3615, 23942, 12399, 30731, 5551, 3794, 5172, 1211, 12399, 4724, 47341, 3615, 5296, 19528, 3615, 18513, 37977, 4032, 9957, 9673, 3615, 18513, 37977, 39896, 11296, 22807, 21542, 2304, 3215, 24976, 3224, 19446, 3615, 1863, 33599, 8608, 6027, 3555, 12399, 7251, 3555, 4587, 7578, 20666, 2304, 29245, 3555, 12399, 11933, 15730, 3714, 5172, 2655, 2407, 5016, 3660, 11933, 15042, 10874, 3224, 3660, 2423, 32640, 9957, 34051, 30731, 5551, 3615, 23942, 5296, 28814, 1863, 3224, 19446, 3615, 1863, 16254, 8592, 8608, 6027, 3555, 12399, 39182, 9957, 4724, 5172, 9566, 1211, 3615, 12399, 29538, 8978, 16247, 36520, 1783, 6055, 25513, 10632, 7251, 3794, 995, 45865, 5551, 25513, 27884, 430, 56], "avg_logprob": -0.2462962978416019, "compression_ratio": 1.8565217391304347, "no_speech_prob": 0.0, "words": [{"start": 1409.23, "end": 1410.07, "word": "بنتشوف", "probability": 0.5272216796875}, {"start": 1410.07, "end": 1411.13, "word": " هل", "probability": 0.910888671875}, {"start": 1411.13, "end": 1411.37, "word": " ال", "probability": 0.95751953125}, {"start": 1411.37, "end": 1411.93, "word": " parabola", "probability": 0.913330078125}, {"start": 1411.93, "end": 1412.57, "word": " مفتوح", "probability": 0.99423828125}, {"start": 1412.57, "end": 1413.61, "word": " لليمين،", "probability": 0.7513671875}, {"start": 1413.61, "end": 1414.77, "word": " لليشمال،", "probability": 0.861572265625}, {"start": 1414.77, "end": 1415.01, "word": " إلى", "probability": 0.52783203125}, {"start": 1415.01, "end": 1415.61, "word": " أعلى،", "probability": 0.9334716796875}, {"start": 1415.61, "end": 1415.81, "word": " إلى", "probability": 0.92529296875}, {"start": 1415.81, "end": 1416.39, "word": " أسفل،", "probability": 0.920703125}, {"start": 1416.39, "end": 1416.85, "word": " برجع", "probability": 0.9747721354166666}, {"start": 1416.85, "end": 1417.79, "word": " للمعادلة", "probability": 0.9544921875}, {"start": 1417.79, "end": 1418.55, "word": " وين", "probability": 0.69970703125}, {"start": 1418.55, "end": 1419.15, "word": " المعادلة", "probability": 0.987548828125}, {"start": 1419.15, "end": 1420.07, "word": " هيها؟", "probability": 0.595947265625}, {"start": 1420.07, "end": 1420.49, "word": " الحمد", "probability": 0.9739583333333334}, {"start": 1420.49, "end": 1420.81, "word": " لله", "probability": 0.90234375}, {"start": 1420.81, "end": 1421.41, "word": " ماعناش", "probability": 0.815185546875}, {"start": 1421.41, "end": 1422.47, "word": " سالب،", "probability": 0.76983642578125}, {"start": 1422.47, "end": 1422.75, "word": " يبقى", "probability": 0.849609375}, {"start": 1422.75, "end": 1423.51, "word": " بالموجب،", "probability": 0.8361328125}, {"start": 1423.51, "end": 1423.75, "word": " إذا", "probability": 0.894775390625}, {"start": 1423.75, "end": 1424.47, "word": " مفتوحة", "probability": 0.908447265625}, {"start": 1424.47, "end": 1424.75, "word": " إما", "probability": 0.6790771484375}, {"start": 1424.75, "end": 1425.27, "word": " جهة", "probability": 0.98779296875}, {"start": 1425.27, "end": 1425.91, "word": " اليمين", "probability": 0.8343098958333334}, {"start": 1425.91, "end": 1426.63, "word": " أو", "probability": 0.92529296875}, {"start": 1426.63, "end": 1426.93, "word": " إلى", "probability": 0.81201171875}, {"start": 1426.93, "end": 1427.23, "word": " أعلى", "probability": 0.9560546875}, {"start": 1427.23, "end": 1427.63, "word": " لإنه", "probability": 0.73046875}, {"start": 1427.63, "end": 1428.19, "word": " ماعنديش", "probability": 0.89970703125}, {"start": 1428.19, "end": 1429.21, "word": " سالب،", "probability": 0.8262939453125}, {"start": 1429.21, "end": 1429.59, "word": " بعدين", "probability": 0.82666015625}, {"start": 1429.59, "end": 1430.37, "word": " بفطلع،", "probability": 0.7314860026041666}, {"start": 1430.37, "end": 1430.67, "word": " هذه", "probability": 0.45458984375}, {"start": 1430.67, "end": 1430.83, "word": " في", "probability": 0.92333984375}, {"start": 1430.83, "end": 1431.19, "word": " الأصل", "probability": 0.757568359375}, {"start": 1431.19, "end": 1431.69, "word": " X", "probability": 0.671875}, {"start": 1431.69, "end": 1432.13, "word": " تربية", "probability": 0.5340576171875}, {"start": 1432.13, "end": 1432.67, "word": " يساوي", "probability": 0.919677734375}, {"start": 1432.67, "end": 1433.33, "word": " أربعة", "probability": 0.7916666666666666}, {"start": 1433.33, "end": 1433.93, "word": " PY", "probability": 0.5838623046875}], "temperature": 1.0}, {"id": 66, "seek": 145291, "start": 1435.47, "end": 1452.91, "text": "مفتوح إلى أعلى يبقى المنحلة هيكون مفتوح إلى أعلى بالشكل اللي عندنا هذا طبعا فبقى مفتوح إلى أعلى يبقى ال axis بدي يكون هذا هو ال axis نغري مباشرة", "tokens": [2304, 5172, 2655, 2407, 5016, 30731, 5551, 3615, 23942, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 37977, 39896, 30544, 3714, 5172, 2655, 2407, 5016, 30731, 5551, 3615, 23942, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 23032, 3555, 3615, 995, 6156, 3555, 4587, 7578, 3714, 5172, 2655, 2407, 5016, 30731, 5551, 3615, 23942, 7251, 3555, 4587, 7578, 2423, 10298, 4724, 16254, 7251, 30544, 23758, 31439, 2423, 10298, 8717, 17082, 16572, 3714, 3555, 33599, 25720], "avg_logprob": -0.14114582777023316, "compression_ratio": 1.8129496402877698, "no_speech_prob": 0.0, "words": [{"start": 1435.47, "end": 1436.29, "word": "مفتوح", "probability": 0.869482421875}, {"start": 1436.29, "end": 1436.63, "word": " إلى", "probability": 0.845703125}, {"start": 1436.63, "end": 1437.17, "word": " أعلى", "probability": 0.9381510416666666}, {"start": 1437.17, "end": 1438.09, "word": " يبقى", "probability": 0.845947265625}, {"start": 1438.09, "end": 1438.73, "word": " المنحلة", "probability": 0.96875}, {"start": 1438.73, "end": 1439.31, "word": " هيكون", "probability": 0.884033203125}, {"start": 1439.31, "end": 1440.09, "word": " مفتوح", "probability": 0.99619140625}, {"start": 1440.09, "end": 1440.45, "word": " إلى", "probability": 0.96044921875}, {"start": 1440.45, "end": 1441.07, "word": " أعلى", "probability": 0.9816080729166666}, {"start": 1441.07, "end": 1442.25, "word": " بالشكل", "probability": 0.9685872395833334}, {"start": 1442.25, "end": 1442.43, "word": " اللي", "probability": 0.884521484375}, {"start": 1442.43, "end": 1442.97, "word": " عندنا", "probability": 0.974365234375}, {"start": 1442.97, "end": 1443.27, "word": " هذا", "probability": 0.7939453125}, {"start": 1443.27, "end": 1444.25, "word": " طبعا", "probability": 0.84039306640625}, {"start": 1444.25, "end": 1445.03, "word": " فبقى", "probability": 0.6805419921875}, {"start": 1445.03, "end": 1445.61, "word": " مفتوح", "probability": 0.9263671875}, {"start": 1445.61, "end": 1445.77, "word": " إلى", "probability": 0.9375}, {"start": 1445.77, "end": 1446.13, "word": " أعلى", "probability": 0.9806315104166666}, {"start": 1446.13, "end": 1447.05, "word": " يبقى", "probability": 0.96630859375}, {"start": 1447.05, "end": 1447.19, "word": " ال", "probability": 0.96435546875}, {"start": 1447.19, "end": 1447.77, "word": " axis", "probability": 0.5029296875}, {"start": 1447.77, "end": 1448.41, "word": " بدي", "probability": 0.5185546875}, {"start": 1448.41, "end": 1448.83, "word": " يكون", "probability": 0.96142578125}, {"start": 1448.83, "end": 1449.23, "word": " هذا", "probability": 0.88037109375}, {"start": 1449.23, "end": 1449.67, "word": " هو", "probability": 0.99169921875}, {"start": 1449.67, "end": 1449.95, "word": " ال", "probability": 0.990234375}, {"start": 1449.95, "end": 1450.87, "word": " axis", "probability": 0.904296875}, {"start": 1450.87, "end": 1451.93, "word": " نغري", "probability": 0.798828125}, {"start": 1451.93, "end": 1452.91, "word": " مباشرة", "probability": 0.9835205078125}], "temperature": 1.0}, {"id": 67, "seek": 146973, "start": 1453.97, "end": 1469.73, "text": "طيب إذا إحنا جبناله مين؟ جبناله ال vertex، الآن بقوله the axis is x يسوى كده؟ سالب تلاتة، هذا هو ال axis", "tokens": [9566, 1829, 3555, 11933, 15730, 11933, 5016, 8315, 10874, 3555, 1863, 6027, 3224, 3714, 9957, 22807, 10874, 3555, 1863, 6027, 3224, 2423, 28162, 12399, 6024, 48506, 4724, 39648, 3224, 264, 10298, 307, 2031, 7251, 3794, 2407, 7578, 9122, 3215, 3224, 22807, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 12399, 23758, 31439, 2423, 10298], "avg_logprob": -0.20355903412456866, "compression_ratio": 1.336, "no_speech_prob": 0.0, "words": [{"start": 1453.97, "end": 1454.53, "word": "طيب", "probability": 0.9249674479166666}, {"start": 1454.53, "end": 1455.15, "word": " إذا", "probability": 0.82861328125}, {"start": 1455.15, "end": 1455.47, "word": " إحنا", "probability": 0.781982421875}, {"start": 1455.47, "end": 1455.97, "word": " جبناله", "probability": 0.8611328125}, {"start": 1455.97, "end": 1456.77, "word": " مين؟", "probability": 0.8277994791666666}, {"start": 1456.77, "end": 1457.45, "word": " جبناله", "probability": 0.981640625}, {"start": 1457.45, "end": 1457.59, "word": " ال", "probability": 0.9912109375}, {"start": 1457.59, "end": 1458.63, "word": " vertex،", "probability": 0.531005859375}, {"start": 1458.63, "end": 1459.41, "word": " الآن", "probability": 0.73681640625}, {"start": 1459.41, "end": 1460.67, "word": " بقوله", "probability": 0.9236653645833334}, {"start": 1460.67, "end": 1460.91, "word": " the", "probability": 0.69775390625}, {"start": 1460.91, "end": 1462.21, "word": " axis", "probability": 0.85791015625}, {"start": 1462.21, "end": 1463.57, "word": " is", "probability": 0.95166015625}, {"start": 1463.57, "end": 1464.63, "word": " x", "probability": 0.479248046875}, {"start": 1464.63, "end": 1465.29, "word": " يسوى", "probability": 0.813720703125}, {"start": 1465.29, "end": 1465.95, "word": " كده؟", "probability": 0.7354736328125}, {"start": 1465.95, "end": 1467.37, "word": " سالب", "probability": 0.9099934895833334}, {"start": 1467.37, "end": 1468.13, "word": " تلاتة،", "probability": 0.73251953125}, {"start": 1468.13, "end": 1468.49, "word": " هذا", "probability": 0.95703125}, {"start": 1468.49, "end": 1468.89, "word": " هو", "probability": 0.99560546875}, {"start": 1468.89, "end": 1469.19, "word": " ال", "probability": 0.98193359375}, {"start": 1469.19, "end": 1469.73, "word": " axis", "probability": 0.875}], "temperature": 1.0}, {"id": 68, "seek": 148965, "start": 1470.91, "end": 1489.65, "text": "خلصنا ال vertex و ال axis، ضال ال focus و ال directrix ال P طلعناها بقداش؟ 2 P هي المسافة من ال vertex لغاية ال focus، تمام؟ المسافة هذه كلها اللي هو B2", "tokens": [9778, 1211, 9381, 8315, 2423, 28162, 4032, 2423, 10298, 12399, 48812, 6027, 2423, 1879, 4032, 2423, 2047, 6579, 2423, 430, 23032, 1211, 3615, 8315, 11296, 4724, 28543, 33599, 22807, 568, 430, 39896, 9673, 3794, 31845, 3660, 9154, 2423, 28162, 5296, 17082, 995, 10632, 2423, 1879, 12399, 46811, 10943, 22807, 9673, 3794, 31845, 3660, 29538, 28242, 11296, 13672, 1829, 31439, 363, 17], "avg_logprob": -0.2857862941680416, "compression_ratio": 1.4591194968553458, "no_speech_prob": 0.0, "words": [{"start": 1470.91, "end": 1471.65, "word": "خلصنا", "probability": 0.78448486328125}, {"start": 1471.65, "end": 1471.79, "word": " ال", "probability": 0.96337890625}, {"start": 1471.79, "end": 1472.13, "word": " vertex", "probability": 0.52880859375}, {"start": 1472.13, "end": 1472.51, "word": " و", "probability": 0.6494140625}, {"start": 1472.51, "end": 1472.67, "word": " ال", "probability": 0.9814453125}, {"start": 1472.67, "end": 1473.33, "word": " axis،", "probability": 0.55047607421875}, {"start": 1473.33, "end": 1473.55, "word": " ضال", "probability": 0.52972412109375}, {"start": 1473.55, "end": 1473.71, "word": " ال", "probability": 0.73974609375}, {"start": 1473.71, "end": 1474.37, "word": " focus", "probability": 0.9560546875}, {"start": 1474.37, "end": 1474.97, "word": " و", "probability": 0.4990234375}, {"start": 1474.97, "end": 1475.07, "word": " ال", "probability": 0.927734375}, {"start": 1475.07, "end": 1475.99, "word": " directrix", "probability": 0.49310302734375}, {"start": 1475.99, "end": 1476.51, "word": " ال", "probability": 0.68017578125}, {"start": 1476.51, "end": 1476.75, "word": " P", "probability": 0.853515625}, {"start": 1476.75, "end": 1477.33, "word": " طلعناها", "probability": 0.930859375}, {"start": 1477.33, "end": 1478.19, "word": " بقداش؟", "probability": 0.679931640625}, {"start": 1478.19, "end": 1478.63, "word": " 2", "probability": 0.2418212890625}, {"start": 1478.63, "end": 1479.49, "word": " P", "probability": 0.6044921875}, {"start": 1479.49, "end": 1479.95, "word": " هي", "probability": 0.90673828125}, {"start": 1479.95, "end": 1481.25, "word": " المسافة", "probability": 0.975341796875}, {"start": 1481.25, "end": 1481.59, "word": " من", "probability": 0.986328125}, {"start": 1481.59, "end": 1481.93, "word": " ال", "probability": 0.994140625}, {"start": 1481.93, "end": 1482.91, "word": " vertex", "probability": 0.90966796875}, {"start": 1482.91, "end": 1483.73, "word": " لغاية", "probability": 0.97998046875}, {"start": 1483.73, "end": 1484.01, "word": " ال", "probability": 0.97021484375}, {"start": 1484.01, "end": 1485.21, "word": " focus،", "probability": 0.71044921875}, {"start": 1485.21, "end": 1486.27, "word": " تمام؟", "probability": 0.7692057291666666}, {"start": 1486.27, "end": 1487.25, "word": " المسافة", "probability": 0.966552734375}, {"start": 1487.25, "end": 1487.71, "word": " هذه", "probability": 0.84326171875}, {"start": 1487.71, "end": 1488.41, "word": " كلها", "probability": 0.990234375}, {"start": 1488.41, "end": 1488.61, "word": " اللي", "probability": 0.801513671875}, {"start": 1488.61, "end": 1488.85, "word": " هو", "probability": 0.9833984375}, {"start": 1488.85, "end": 1489.65, "word": " B2", "probability": 0.6507568359375}], "temperature": 1.0}, {"id": 69, "seek": 151331, "start": 1490.25, "end": 1513.31, "text": "إذا أصبح الاحداثي التابعها هو السالب تلاتة زي ما هو، بضل راسي هذا قداش و هذا قداش، نعم، يبقى بصير قداش تلاتة، يبقى بروح بقوله the focus is سالب تلاتة و تلاتة، شو ضايل عنده؟", "tokens": [28814, 15730, 5551, 9381, 49628, 2423, 39319, 3215, 5718, 104, 1829, 16712, 16758, 3615, 11296, 31439, 21136, 6027, 3555, 6055, 1211, 9307, 3660, 30767, 1829, 19446, 31439, 12399, 4724, 11242, 1211, 12602, 32277, 1829, 23758, 12174, 3215, 33599, 4032, 23758, 12174, 3215, 33599, 12399, 8717, 25957, 12399, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 12174, 3215, 33599, 6055, 1211, 9307, 3660, 12399, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 3224, 264, 1879, 307, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4032, 6055, 1211, 9307, 3660, 12399, 13412, 2407, 48812, 995, 26895, 43242, 3224, 22807], "avg_logprob": -0.211340211101414, "compression_ratio": 1.7647058823529411, "no_speech_prob": 0.0, "words": [{"start": 1490.25, "end": 1490.71, "word": "إذا", "probability": 0.6385498046875}, {"start": 1490.71, "end": 1491.35, "word": " أصبح", "probability": 0.9820963541666666}, {"start": 1491.35, "end": 1492.39, "word": " الاحداثي", "probability": 0.7023518880208334}, {"start": 1492.39, "end": 1493.27, "word": " التابعها", "probability": 0.8321533203125}, {"start": 1493.27, "end": 1493.59, "word": " هو", "probability": 0.947265625}, {"start": 1493.59, "end": 1494.41, "word": " السالب", "probability": 0.7154134114583334}, {"start": 1494.41, "end": 1495.33, "word": " تلاتة", "probability": 0.9620361328125}, {"start": 1495.33, "end": 1495.71, "word": " زي", "probability": 0.970458984375}, {"start": 1495.71, "end": 1495.91, "word": " ما", "probability": 0.91015625}, {"start": 1495.91, "end": 1496.47, "word": " هو،", "probability": 0.868408203125}, {"start": 1496.47, "end": 1497.01, "word": " بضل", "probability": 0.6866048177083334}, {"start": 1497.01, "end": 1497.49, "word": " راسي", "probability": 0.8211263020833334}, {"start": 1497.49, "end": 1497.73, "word": " هذا", "probability": 0.79443359375}, {"start": 1497.73, "end": 1498.43, "word": " قداش", "probability": 0.7433268229166666}, {"start": 1498.43, "end": 1499.09, "word": " و", "probability": 0.5263671875}, {"start": 1499.09, "end": 1499.31, "word": " هذا", "probability": 0.93896484375}, {"start": 1499.31, "end": 1500.33, "word": " قداش،", "probability": 0.85894775390625}, {"start": 1500.33, "end": 1501.21, "word": " نعم،", "probability": 0.6717936197916666}, {"start": 1501.21, "end": 1501.49, "word": " يبقى", "probability": 0.9171142578125}, {"start": 1501.49, "end": 1501.83, "word": " بصير", "probability": 0.9191080729166666}, {"start": 1501.83, "end": 1502.55, "word": " قداش", "probability": 0.9772135416666666}, {"start": 1502.55, "end": 1503.91, "word": " تلاتة،", "probability": 0.8533203125}, {"start": 1503.91, "end": 1504.39, "word": " يبقى", "probability": 0.9859619140625}, {"start": 1504.39, "end": 1504.83, "word": " بروح", "probability": 0.91796875}, {"start": 1504.83, "end": 1505.57, "word": " بقوله", "probability": 0.7932942708333334}, {"start": 1505.57, "end": 1505.75, "word": " the", "probability": 0.21728515625}, {"start": 1505.75, "end": 1507.27, "word": " focus", "probability": 0.95654296875}, {"start": 1507.27, "end": 1508.61, "word": " is", "probability": 0.95703125}, {"start": 1508.61, "end": 1509.83, "word": " سالب", "probability": 0.9342447916666666}, {"start": 1509.83, "end": 1510.99, "word": " تلاتة", "probability": 0.9853515625}, {"start": 1510.99, "end": 1511.25, "word": " و", "probability": 0.76708984375}, {"start": 1511.25, "end": 1512.05, "word": " تلاتة،", "probability": 0.87392578125}, {"start": 1512.05, "end": 1512.31, "word": " شو", "probability": 0.80224609375}, {"start": 1512.31, "end": 1512.51, "word": " ضايل", "probability": 0.7744140625}, {"start": 1512.51, "end": 1513.31, "word": " عنده؟", "probability": 0.7325846354166666}], "temperature": 1.0}, {"id": 70, "seek": 154241, "start": 1514.85, "end": 1542.41, "text": "directors ممتاز جدا يبقى ال directors عمودي على ال axis ويبقى عن ال vertex مسافة مقدرها اتنين هذا كدهش اذا مضي عزل كمان كدهش كمان واحد يبقى بده يجينا هذا ايه؟ هذا هو ال directrix المسافة هذه كلها اللي هو كم؟ باتنين", "tokens": [44868, 830, 3714, 2304, 2655, 31377, 10874, 28259, 7251, 3555, 4587, 7578, 2423, 2047, 830, 6225, 2304, 2407, 16254, 15844, 2423, 10298, 4032, 1829, 3555, 4587, 7578, 18871, 2423, 28162, 47524, 31845, 3660, 3714, 28543, 2288, 11296, 1975, 2655, 1863, 9957, 23758, 9122, 3215, 3224, 8592, 1975, 15730, 3714, 11242, 1829, 6225, 11622, 1211, 9122, 2304, 7649, 9122, 3215, 3224, 8592, 9122, 2304, 7649, 36764, 24401, 7251, 3555, 4587, 7578, 47525, 3224, 7251, 7435, 1829, 8315, 23758, 1975, 1829, 3224, 22807, 23758, 31439, 2423, 2047, 6579, 9673, 3794, 31845, 3660, 29538, 28242, 11296, 13672, 1829, 31439, 9122, 2304, 22807, 4724, 9307, 1863, 9957], "avg_logprob": -0.31670671930679906, "compression_ratio": 1.8229166666666667, "no_speech_prob": 0.0, "words": [{"start": 1514.85, "end": 1515.89, "word": "directors", "probability": 0.30523681640625}, {"start": 1515.89, "end": 1516.47, "word": " ممتاز", "probability": 0.83349609375}, {"start": 1516.47, "end": 1516.81, "word": " جدا", "probability": 0.96875}, {"start": 1516.81, "end": 1517.69, "word": " يبقى", "probability": 0.886962890625}, {"start": 1517.69, "end": 1517.83, "word": " ال", "probability": 0.771484375}, {"start": 1517.83, "end": 1518.39, "word": " directors", "probability": 0.716796875}, {"start": 1518.39, "end": 1519.09, "word": " عمودي", "probability": 0.972412109375}, {"start": 1519.09, "end": 1519.41, "word": " على", "probability": 0.7685546875}, {"start": 1519.41, "end": 1519.63, "word": " ال", "probability": 0.935546875}, {"start": 1519.63, "end": 1520.11, "word": " axis", "probability": 0.80810546875}, {"start": 1520.11, "end": 1520.73, "word": " ويبقى", "probability": 0.82958984375}, {"start": 1520.73, "end": 1521.25, "word": " عن", "probability": 0.50439453125}, {"start": 1521.25, "end": 1521.69, "word": " ال", "probability": 0.91015625}, {"start": 1521.69, "end": 1522.15, "word": " vertex", "probability": 0.615234375}, {"start": 1522.15, "end": 1522.75, "word": " مسافة", "probability": 0.9847005208333334}, {"start": 1522.75, "end": 1523.69, "word": " مقدرها", "probability": 0.86083984375}, {"start": 1523.69, "end": 1524.77, "word": " اتنين", "probability": 0.887939453125}, {"start": 1524.77, "end": 1525.09, "word": " هذا", "probability": 0.65283203125}, {"start": 1525.09, "end": 1525.79, "word": " كدهش", "probability": 0.566162109375}, {"start": 1525.79, "end": 1526.59, "word": " اذا", "probability": 0.6981201171875}, {"start": 1526.59, "end": 1526.89, "word": " مضي", "probability": 0.3946533203125}, {"start": 1526.89, "end": 1527.19, "word": " عزل", "probability": 0.4716796875}, {"start": 1527.19, "end": 1527.55, "word": " كمان", "probability": 0.9656575520833334}, {"start": 1527.55, "end": 1528.17, "word": " كدهش", "probability": 0.9351806640625}, {"start": 1528.17, "end": 1528.71, "word": " كمان", "probability": 0.92431640625}, {"start": 1528.71, "end": 1529.27, "word": " واحد", "probability": 0.98779296875}, {"start": 1529.27, "end": 1530.11, "word": " يبقى", "probability": 0.968994140625}, {"start": 1530.11, "end": 1530.61, "word": " بده", "probability": 0.4134521484375}, {"start": 1530.61, "end": 1531.19, "word": " يجينا", "probability": 0.87060546875}, {"start": 1531.19, "end": 1531.65, "word": " هذا", "probability": 0.7421875}, {"start": 1531.65, "end": 1532.69, "word": " ايه؟", "probability": 0.424163818359375}, {"start": 1532.69, "end": 1533.21, "word": " هذا", "probability": 0.8876953125}, {"start": 1533.21, "end": 1533.91, "word": " هو", "probability": 0.98583984375}, {"start": 1533.91, "end": 1534.23, "word": " ال", "probability": 0.80517578125}, {"start": 1534.23, "end": 1536.59, "word": " directrix", "probability": 0.766357421875}, {"start": 1536.59, "end": 1538.17, "word": " المسافة", "probability": 0.9609375}, {"start": 1538.17, "end": 1538.65, "word": " هذه", "probability": 0.818359375}, {"start": 1538.65, "end": 1539.81, "word": " كلها", "probability": 0.95947265625}, {"start": 1539.81, "end": 1540.05, "word": " اللي", "probability": 0.6563720703125}, {"start": 1540.05, "end": 1540.23, "word": " هو", "probability": 0.92822265625}, {"start": 1540.23, "end": 1541.11, "word": " كم؟", "probability": 0.6492513020833334}, {"start": 1541.11, "end": 1542.41, "word": " باتنين", "probability": 0.7451171875}], "temperature": 1.0}, {"id": 71, "seek": 157185, "start": 1543.01, "end": 1571.85, "text": "تمام؟ المسافة هذه عفوا، المسافة هذه بواحد لإن المسافة اللي فوق كمان هذه بمين هي بواحد طب هذا واحد بس تحت ال X axis إذا بالمعادلة تبعته بتبقى جداش Y يساوي سالب واحد بروح بقوله هنا the biometrics is Y تساوي مين سالب واحد انتهى المطلوب كله", "tokens": [2655, 15042, 2304, 22807, 9673, 3794, 31845, 3660, 29538, 6225, 5172, 14407, 12399, 9673, 3794, 31845, 3660, 29538, 4724, 14407, 24401, 5296, 28814, 1863, 9673, 3794, 31845, 3660, 13672, 1829, 6156, 30543, 9122, 2304, 7649, 29538, 4724, 2304, 9957, 39896, 4724, 14407, 24401, 23032, 3555, 23758, 36764, 24401, 4724, 3794, 6055, 33753, 2423, 1783, 10298, 11933, 15730, 20666, 2304, 3615, 18513, 37977, 6055, 3555, 34268, 3224, 39894, 3555, 4587, 7578, 10874, 3215, 33599, 398, 7251, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401, 4724, 32887, 5016, 4724, 39648, 3224, 34105, 264, 3228, 423, 6903, 1167, 307, 398, 6055, 3794, 995, 45865, 3714, 9957, 8608, 6027, 3555, 36764, 24401, 16472, 47395, 7578, 9673, 9566, 1211, 37746, 28242, 3224], "avg_logprob": -0.22695974146915696, "compression_ratio": 1.8703703703703705, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1543.01, "end": 1544.17, "word": "تمام؟", "probability": 0.6333770751953125}, {"start": 1544.17, "end": 1544.81, "word": " المسافة", "probability": 0.927734375}, {"start": 1544.81, "end": 1545.03, "word": " هذه", "probability": 0.77001953125}, {"start": 1545.03, "end": 1545.53, "word": " عفوا،", "probability": 0.617218017578125}, {"start": 1545.53, "end": 1545.99, "word": " المسافة", "probability": 0.974853515625}, {"start": 1545.99, "end": 1546.27, "word": " هذه", "probability": 0.89453125}, {"start": 1546.27, "end": 1546.87, "word": " بواحد", "probability": 0.9602864583333334}, {"start": 1546.87, "end": 1547.57, "word": " لإن", "probability": 0.6328938802083334}, {"start": 1547.57, "end": 1548.35, "word": " المسافة", "probability": 0.9898681640625}, {"start": 1548.35, "end": 1548.57, "word": " اللي", "probability": 0.799560546875}, {"start": 1548.57, "end": 1549.07, "word": " فوق", "probability": 0.97802734375}, {"start": 1549.07, "end": 1549.63, "word": " كمان", "probability": 0.9103190104166666}, {"start": 1549.63, "end": 1549.93, "word": " هذه", "probability": 0.292724609375}, {"start": 1549.93, "end": 1550.47, "word": " بمين", "probability": 0.7972005208333334}, {"start": 1550.47, "end": 1551.11, "word": " هي", "probability": 0.76953125}, {"start": 1551.11, "end": 1551.65, "word": " بواحد", "probability": 0.9952799479166666}, {"start": 1551.65, "end": 1552.13, "word": " طب", "probability": 0.796630859375}, {"start": 1552.13, "end": 1552.37, "word": " هذا", "probability": 0.427734375}, {"start": 1552.37, "end": 1552.73, "word": " واحد", "probability": 0.989501953125}, {"start": 1552.73, "end": 1553.07, "word": " بس", "probability": 0.959716796875}, {"start": 1553.07, "end": 1553.39, "word": " تحت", "probability": 0.99609375}, {"start": 1553.39, "end": 1553.63, "word": " ال", "probability": 0.98095703125}, {"start": 1553.63, "end": 1553.99, "word": " X", "probability": 0.63916015625}, {"start": 1553.99, "end": 1554.63, "word": " axis", "probability": 0.50732421875}, {"start": 1554.63, "end": 1555.23, "word": " إذا", "probability": 0.8408203125}, {"start": 1555.23, "end": 1555.91, "word": " بالمعادلة", "probability": 0.9765625}, {"start": 1555.91, "end": 1556.51, "word": " تبعته", "probability": 0.8070068359375}, {"start": 1556.51, "end": 1556.91, "word": " بتبقى", "probability": 0.851318359375}, {"start": 1556.91, "end": 1557.61, "word": " جداش", "probability": 0.7293294270833334}, {"start": 1557.61, "end": 1558.63, "word": " Y", "probability": 0.69140625}, {"start": 1558.63, "end": 1559.43, "word": " يساوي", "probability": 0.6308441162109375}, {"start": 1559.43, "end": 1560.03, "word": " سالب", "probability": 0.9373372395833334}, {"start": 1560.03, "end": 1560.43, "word": " واحد", "probability": 0.990478515625}, {"start": 1560.43, "end": 1561.21, "word": " بروح", "probability": 0.9596354166666666}, {"start": 1561.21, "end": 1561.81, "word": " بقوله", "probability": 0.8935546875}, {"start": 1561.81, "end": 1562.25, "word": " هنا", "probability": 0.98974609375}, {"start": 1562.25, "end": 1562.69, "word": " the", "probability": 0.369384765625}, {"start": 1562.69, "end": 1564.85, "word": " biometrics", "probability": 0.5023193359375}, {"start": 1564.85, "end": 1565.95, "word": " is", "probability": 0.91845703125}, {"start": 1565.95, "end": 1567.01, "word": " Y", "probability": 0.9384765625}, {"start": 1567.01, "end": 1567.71, "word": " تساوي", "probability": 0.924072265625}, {"start": 1567.71, "end": 1568.17, "word": " مين", "probability": 0.767822265625}, {"start": 1568.17, "end": 1569.05, "word": " سالب", "probability": 0.8675130208333334}, {"start": 1569.05, "end": 1569.61, "word": " واحد", "probability": 0.992919921875}, {"start": 1569.61, "end": 1570.53, "word": " انتهى", "probability": 0.82275390625}, {"start": 1570.53, "end": 1571.43, "word": " المطلوب", "probability": 0.9775390625}, {"start": 1571.43, "end": 1571.85, "word": " كله", "probability": 0.99267578125}], "temperature": 1.0}, {"id": 72, "seek": 159832, "start": 1573.22, "end": 1598.32, "text": "طيب هذا النوع الأول من المثال نذهب إلى النوع الثاني النوع الثاني بيقول consider the Parabola تكستر بيع بده يساوي ستة Y that shifted", "tokens": [9566, 1829, 3555, 23758, 28239, 45367, 16247, 12610, 9154, 9673, 12984, 6027, 8717, 24192, 3555, 30731, 28239, 45367, 6024, 104, 7649, 1829, 28239, 45367, 6024, 104, 7649, 1829, 4724, 1829, 39648, 1949, 264, 3457, 455, 4711, 6055, 4117, 14851, 2288, 4724, 40228, 47525, 3224, 7251, 3794, 995, 45865, 8608, 2655, 3660, 398, 300, 18892], "avg_logprob": -0.28139204003594137, "compression_ratio": 1.4647887323943662, "no_speech_prob": 0.0, "words": [{"start": 1573.22, "end": 1573.6, "word": "طيب", "probability": 0.6666666666666666}, {"start": 1573.6, "end": 1574.06, "word": " هذا", "probability": 0.56396484375}, {"start": 1574.06, "end": 1574.34, "word": " النوع", "probability": 0.9150390625}, {"start": 1574.34, "end": 1574.84, "word": " الأول", "probability": 0.9423828125}, {"start": 1574.84, "end": 1575.24, "word": " من", "probability": 0.9560546875}, {"start": 1575.24, "end": 1576.1, "word": " المثال", "probability": 0.9755859375}, {"start": 1576.1, "end": 1576.64, "word": " نذهب", "probability": 0.8587239583333334}, {"start": 1576.64, "end": 1576.9, "word": " إلى", "probability": 0.6943359375}, {"start": 1576.9, "end": 1577.42, "word": " النوع", "probability": 0.963134765625}, {"start": 1577.42, "end": 1578.3, "word": " الثاني", "probability": 0.966064453125}, {"start": 1578.3, "end": 1579.64, "word": " النوع", "probability": 0.8330078125}, {"start": 1579.64, "end": 1580.12, "word": " الثاني", "probability": 0.967529296875}, {"start": 1580.12, "end": 1580.46, "word": " بيقول", "probability": 0.9026692708333334}, {"start": 1580.46, "end": 1581.18, "word": " consider", "probability": 0.392333984375}, {"start": 1581.18, "end": 1581.56, "word": " the", "probability": 0.85986328125}, {"start": 1581.56, "end": 1582.78, "word": " Parabola", "probability": 0.603271484375}, {"start": 1582.78, "end": 1592.58, "word": " تكستر", "probability": 0.573150634765625}, {"start": 1592.58, "end": 1593.16, "word": " بيع", "probability": 0.801025390625}, {"start": 1593.16, "end": 1594.66, "word": " بده", "probability": 0.6318359375}, {"start": 1594.66, "end": 1595.06, "word": " يساوي", "probability": 0.8709716796875}, {"start": 1595.06, "end": 1596.02, "word": " ستة", "probability": 0.8118489583333334}, {"start": 1596.02, "end": 1596.44, "word": " Y", "probability": 0.62744140625}, {"start": 1596.44, "end": 1597.72, "word": " that", "probability": 0.7255859375}, {"start": 1597.72, "end": 1598.32, "word": " shifted", "probability": 0.90625}], "temperature": 1.0}, {"id": 73, "seek": 163028, "start": 1603.8, "end": 1630.28, "text": "عملنا لها shift مقدرة تلاتة units تلاتة وحدات تلاتة units to the left تلاتة وحدات جهة اليسار and two units واحدتين down إلى أسفل", "tokens": [25957, 1211, 8315, 5296, 11296, 5513, 3714, 28543, 25720, 6055, 1211, 9307, 3660, 6815, 6055, 1211, 9307, 3660, 4032, 24401, 9307, 6055, 1211, 9307, 3660, 6815, 281, 264, 1411, 6055, 1211, 9307, 3660, 4032, 24401, 9307, 10874, 3224, 3660, 45595, 3794, 9640, 293, 732, 6815, 36764, 24401, 2655, 9957, 760, 30731, 5551, 3794, 5172, 1211], "avg_logprob": -0.2276785738234009, "compression_ratio": 1.4923076923076923, "no_speech_prob": 0.0, "words": [{"start": 1603.8, "end": 1604.46, "word": "عملنا", "probability": 0.7154947916666666}, {"start": 1604.46, "end": 1604.78, "word": " لها", "probability": 0.6619873046875}, {"start": 1604.78, "end": 1605.24, "word": " shift", "probability": 0.73095703125}, {"start": 1605.24, "end": 1606.56, "word": " مقدرة", "probability": 0.599365234375}, {"start": 1606.56, "end": 1607.5, "word": " تلاتة", "probability": 0.89111328125}, {"start": 1607.5, "end": 1608.26, "word": " units", "probability": 0.85302734375}, {"start": 1608.26, "end": 1609.74, "word": " تلاتة", "probability": 0.8477783203125}, {"start": 1609.74, "end": 1610.64, "word": " وحدات", "probability": 0.8798828125}, {"start": 1610.64, "end": 1612.88, "word": " تلاتة", "probability": 0.80902099609375}, {"start": 1612.88, "end": 1613.24, "word": " units", "probability": 0.81982421875}, {"start": 1613.24, "end": 1613.56, "word": " to", "probability": 0.75146484375}, {"start": 1613.56, "end": 1613.78, "word": " the", "probability": 0.93408203125}, {"start": 1613.78, "end": 1614.2, "word": " left", "probability": 0.95263671875}, {"start": 1614.2, "end": 1618.68, "word": " تلاتة", "probability": 0.8587646484375}, {"start": 1618.68, "end": 1619.06, "word": " وحدات", "probability": 0.9765625}, {"start": 1619.06, "end": 1619.54, "word": " جهة", "probability": 0.9694010416666666}, {"start": 1619.54, "end": 1620.7, "word": " اليسار", "probability": 0.99169921875}, {"start": 1620.7, "end": 1622.06, "word": " and", "probability": 0.43994140625}, {"start": 1622.06, "end": 1623.94, "word": " two", "probability": 0.798828125}, {"start": 1623.94, "end": 1624.84, "word": " units", "probability": 0.95849609375}, {"start": 1624.84, "end": 1627.46, "word": " واحدتين", "probability": 0.8345947265625}, {"start": 1627.46, "end": 1628.62, "word": " down", "probability": 0.65869140625}, {"start": 1628.62, "end": 1629.48, "word": " إلى", "probability": 0.76220703125}, {"start": 1629.48, "end": 1630.28, "word": " أسفل", "probability": 0.9608154296875}], "temperature": 1.0}, {"id": 74, "seek": 164470, "start": 1640.94, "end": 1644.7, "text": "اكتشف المعادلة الجديدة", "tokens": [995, 4117, 2655, 8592, 5172, 9673, 3615, 18513, 37977, 25724, 16254, 41891], "avg_logprob": -0.5333533837245061, "compression_ratio": 0.8571428571428571, "no_speech_prob": 0.0, "words": [{"start": 1640.9399999999998, "end": 1642.34, "word": "اكتشف", "probability": 0.6714599609375}, {"start": 1642.34, "end": 1643.74, "word": " المعادلة", "probability": 0.7349853515625}, {"start": 1643.74, "end": 1644.7, "word": " الجديدة", "probability": 0.9104817708333334}], "temperature": 1.0}, {"id": 75, "seek": 167651, "start": 1663.51, "end": 1676.51, "text": "focus و ال vertex و ال axis و المحور and directrix", "tokens": [69, 15206, 4032, 2423, 28162, 4032, 2423, 10298, 4032, 9673, 5016, 13063, 293, 2047, 6579], "avg_logprob": -0.38671874441206455, "compression_ratio": 1.0862068965517242, "no_speech_prob": 0.0, "words": [{"start": 1663.5099999999998, "end": 1664.9099999999999, "word": "focus", "probability": 0.6214599609375}, {"start": 1664.9099999999999, "end": 1666.31, "word": " و", "probability": 0.2490234375}, {"start": 1666.31, "end": 1666.51, "word": " ال", "probability": 0.54833984375}, {"start": 1666.51, "end": 1667.37, "word": " vertex", "probability": 0.517578125}, {"start": 1667.37, "end": 1671.67, "word": " و", "probability": 0.66943359375}, {"start": 1671.67, "end": 1671.83, "word": " ال", "probability": 0.97216796875}, {"start": 1671.83, "end": 1672.51, "word": " axis", "probability": 0.81494140625}, {"start": 1672.51, "end": 1674.61, "word": " و", "probability": 0.951171875}, {"start": 1674.61, "end": 1675.21, "word": " المحور", "probability": 0.95654296875}, {"start": 1675.21, "end": 1675.59, "word": " and", "probability": 0.48974609375}, {"start": 1675.59, "end": 1676.51, "word": " directrix", "probability": 0.7978515625}], "temperature": 1.0}, {"id": 76, "seek": 171055, "start": 1708.89, "end": 1710.55, "text": "سؤال مرة ثانية", "tokens": [3794, 33604, 6027, 3714, 25720, 38637, 7649, 10632], "avg_logprob": -0.08165147569444445, "compression_ratio": 0.7428571428571429, "no_speech_prob": 0.0, "words": [{"start": 1708.8899999999999, "end": 1709.81, "word": "سؤال", "probability": 0.9142252604166666}, {"start": 1709.81, "end": 1710.09, "word": " مرة", "probability": 0.953369140625}, {"start": 1710.09, "end": 1710.55, "word": " ثانية", "probability": 0.9578450520833334}], "temperature": 1.0}, {"id": 77, "seek": 172397, "start": 1711.39, "end": 1723.97, "text": "بقول اعتبر ال parabola x ترميها بساوي 6y بعدين that shifted عملنا لها إزاحة تلت وحدات جهة وين؟ جهة الشمال", "tokens": [3555, 39648, 1975, 34268, 26890, 2423, 45729, 4711, 2031, 6055, 2288, 2304, 1829, 11296, 4724, 3794, 995, 45865, 1386, 88, 39182, 9957, 300, 18892, 6225, 42213, 8315, 5296, 11296, 11933, 11622, 39319, 3660, 6055, 1211, 2655, 4032, 24401, 9307, 10874, 3224, 3660, 4032, 9957, 22807, 10874, 3224, 3660, 25124, 2304, 6027], "avg_logprob": -0.3185096073609132, "compression_ratio": 1.2335766423357664, "no_speech_prob": 0.0, "words": [{"start": 1711.39, "end": 1711.79, "word": "بقول", "probability": 0.4771728515625}, {"start": 1711.79, "end": 1712.27, "word": " اعتبر", "probability": 0.7970377604166666}, {"start": 1712.27, "end": 1712.43, "word": " ال", "probability": 0.87841796875}, {"start": 1712.43, "end": 1712.89, "word": " parabola", "probability": 0.85107421875}, {"start": 1712.89, "end": 1713.13, "word": " x", "probability": 0.53076171875}, {"start": 1713.13, "end": 1713.47, "word": " ترميها", "probability": 0.596435546875}, {"start": 1713.47, "end": 1714.03, "word": " بساوي", "probability": 0.6668701171875}, {"start": 1714.03, "end": 1715.29, "word": " 6y", "probability": 0.655029296875}, {"start": 1715.29, "end": 1716.69, "word": " بعدين", "probability": 0.63037109375}, {"start": 1716.69, "end": 1717.03, "word": " that", "probability": 0.3056640625}, {"start": 1717.03, "end": 1717.79, "word": " shifted", "probability": 0.8583984375}, {"start": 1717.79, "end": 1718.41, "word": " عملنا", "probability": 0.8125}, {"start": 1718.41, "end": 1718.69, "word": " لها", "probability": 0.885498046875}, {"start": 1718.69, "end": 1719.65, "word": " إزاحة", "probability": 0.7669677734375}, {"start": 1719.65, "end": 1720.39, "word": " تلت", "probability": 0.8028971354166666}, {"start": 1720.39, "end": 1721.23, "word": " وحدات", "probability": 0.8250325520833334}, {"start": 1721.23, "end": 1722.13, "word": " جهة", "probability": 0.94580078125}, {"start": 1722.13, "end": 1722.97, "word": " وين؟", "probability": 0.6461588541666666}, {"start": 1722.97, "end": 1723.39, "word": " جهة", "probability": 0.9871419270833334}, {"start": 1723.39, "end": 1723.97, "word": " الشمال", "probability": 0.9866536458333334}], "temperature": 1.0}, {"id": 78, "seek": 174432, "start": 1724.22, "end": 1744.32, "text": "و وحدتين الى أسفل يبقى الشفات ديما موحلة جهة الشمال تلات وحدات و وحدتين الى أسفل بيقول اكتبلي المعادلة جديدة لل Parabola بعد ما عملتلها main ال shift and find its focus و وقت ال focus و ال vertex و ال axis و ال directrix", "tokens": [2407, 4032, 24401, 2655, 9957, 2423, 7578, 5551, 3794, 5172, 1211, 7251, 3555, 4587, 7578, 25124, 5172, 9307, 11778, 1829, 15042, 3714, 2407, 5016, 37977, 10874, 3224, 3660, 25124, 2304, 6027, 6055, 1211, 9307, 4032, 24401, 9307, 4032, 4032, 24401, 2655, 9957, 2423, 7578, 5551, 3794, 5172, 1211, 4724, 1829, 39648, 1975, 4117, 2655, 3555, 20292, 9673, 3615, 18513, 37977, 10874, 16254, 41891, 24976, 3457, 455, 4711, 39182, 19446, 6225, 42213, 2655, 1211, 11296, 2135, 2423, 5513, 293, 915, 1080, 1879, 4032, 4032, 38149, 2423, 1879, 4032, 2423, 28162, 4032, 2423, 10298, 4032, 2423, 2047, 6579], "avg_logprob": -0.3315077319587629, "compression_ratio": 1.6666666666666667, "no_speech_prob": 0.0, "words": [{"start": 1724.22, "end": 1724.5, "word": "و", "probability": 0.429931640625}, {"start": 1724.5, "end": 1725.58, "word": " وحدتين", "probability": 0.677215576171875}, {"start": 1725.58, "end": 1725.92, "word": " الى", "probability": 0.6409912109375}, {"start": 1725.92, "end": 1726.34, "word": " أسفل", "probability": 0.8333740234375}, {"start": 1726.34, "end": 1726.92, "word": " يبقى", "probability": 0.7581787109375}, {"start": 1726.92, "end": 1727.18, "word": " الشفات", "probability": 0.364990234375}, {"start": 1727.18, "end": 1727.4, "word": " ديما", "probability": 0.5726725260416666}, {"start": 1727.4, "end": 1727.82, "word": " موحلة", "probability": 0.7637939453125}, {"start": 1727.82, "end": 1728.12, "word": " جهة", "probability": 0.9059244791666666}, {"start": 1728.12, "end": 1728.52, "word": " الشمال", "probability": 0.9899088541666666}, {"start": 1728.52, "end": 1728.86, "word": " تلات", "probability": 0.7796223958333334}, {"start": 1728.86, "end": 1729.46, "word": " وحدات", "probability": 0.9235026041666666}, {"start": 1729.46, "end": 1729.86, "word": " و", "probability": 0.9482421875}, {"start": 1729.86, "end": 1730.68, "word": " وحدتين", "probability": 0.87646484375}, {"start": 1730.68, "end": 1731.26, "word": " الى", "probability": 0.947265625}, {"start": 1731.26, "end": 1731.84, "word": " أسفل", "probability": 0.9681396484375}, {"start": 1731.84, "end": 1732.8, "word": " بيقول", "probability": 0.7538248697916666}, {"start": 1732.8, "end": 1733.3, "word": " اكتبلي", "probability": 0.83154296875}, {"start": 1733.3, "end": 1733.96, "word": " المعادلة", "probability": 0.76898193359375}, {"start": 1733.96, "end": 1734.44, "word": " جديدة", "probability": 0.91064453125}, {"start": 1734.44, "end": 1734.72, "word": " لل", "probability": 0.8876953125}, {"start": 1734.72, "end": 1735.5, "word": " Parabola", "probability": 0.615234375}, {"start": 1735.5, "end": 1735.92, "word": " بعد", "probability": 0.8349609375}, {"start": 1735.92, "end": 1736.16, "word": " ما", "probability": 0.425537109375}, {"start": 1736.16, "end": 1736.96, "word": " عملتلها", "probability": 0.703564453125}, {"start": 1736.96, "end": 1737.32, "word": " main", "probability": 0.404541015625}, {"start": 1737.32, "end": 1737.78, "word": " ال", "probability": 0.352294921875}, {"start": 1737.78, "end": 1738.24, "word": " shift", "probability": 0.93408203125}, {"start": 1738.24, "end": 1739.14, "word": " and", "probability": 0.51416015625}, {"start": 1739.14, "end": 1739.62, "word": " find", "probability": 0.90380859375}, {"start": 1739.62, "end": 1740.0, "word": " its", "probability": 0.810546875}, {"start": 1740.0, "end": 1740.54, "word": " focus", "probability": 0.962890625}, {"start": 1740.54, "end": 1740.74, "word": " و", "probability": 0.48291015625}, {"start": 1740.74, "end": 1740.94, "word": " وقت", "probability": 0.55218505859375}, {"start": 1740.94, "end": 1741.12, "word": " ال", "probability": 0.8564453125}, {"start": 1741.12, "end": 1741.7, "word": " focus", "probability": 0.97900390625}, {"start": 1741.7, "end": 1741.92, "word": " و", "probability": 0.8232421875}, {"start": 1741.92, "end": 1742.06, "word": " ال", "probability": 0.95263671875}, {"start": 1742.06, "end": 1742.64, "word": " vertex", "probability": 0.8525390625}, {"start": 1742.64, "end": 1742.86, "word": " و", "probability": 0.9638671875}, {"start": 1742.86, "end": 1742.98, "word": " ال", "probability": 0.974609375}, {"start": 1742.98, "end": 1743.38, "word": " axis", "probability": 0.88916015625}, {"start": 1743.38, "end": 1743.58, "word": " و", "probability": 0.962890625}, {"start": 1743.58, "end": 1743.66, "word": " ال", "probability": 0.94091796875}, {"start": 1743.66, "end": 1744.32, "word": " directrix", "probability": 0.743896484375}], "temperature": 1.0}, {"id": 79, "seek": 177260, "start": 1744.5, "end": 1772.6, "text": "يبقى كل المعلومات الخاصة بمين بهذه ال parabola بنقولها بسيطة يبقى أول شغلة بدنا نعملها بنقول هذا محور X هذا Y هذا هو ال zero بدي ال parabola الأصلية بتطلع في شكل المعادلة X تربيع يسوى 6 يبقى المركزة النقطة الأصلية مفتوحة إلى أين؟ إلى أعلى يبقى هذا ال parabola اللي عندنا بالشكل هذا", "tokens": [1829, 3555, 4587, 7578, 28242, 9673, 30241, 20498, 9307, 33962, 33546, 3660, 4724, 2304, 9957, 39627, 24192, 2423, 45729, 4711, 44945, 39648, 11296, 4724, 3794, 1829, 9566, 3660, 7251, 3555, 4587, 7578, 5551, 12610, 13412, 17082, 37977, 47525, 8315, 8717, 25957, 1211, 11296, 44945, 39648, 23758, 3714, 5016, 13063, 1783, 23758, 398, 23758, 31439, 2423, 4018, 4724, 16254, 2423, 45729, 4711, 16247, 36520, 10632, 39894, 9566, 1211, 3615, 8978, 13412, 28820, 9673, 3615, 18513, 37977, 1783, 6055, 2288, 21292, 3615, 7251, 3794, 2407, 7578, 1386, 7251, 3555, 4587, 7578, 9673, 31747, 11622, 3660, 28239, 47432, 3660, 16247, 36520, 10632, 3714, 5172, 2655, 2407, 5016, 3660, 30731, 5551, 9957, 22807, 30731, 5551, 3615, 23942, 7251, 3555, 4587, 7578, 23758, 2423, 45729, 4711, 13672, 1829, 43242, 8315, 20666, 8592, 28820, 23758], "avg_logprob": -0.19278846474794242, "compression_ratio": 1.9390243902439024, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1744.5, "end": 1744.94, "word": "يبقى", "probability": 0.7347412109375}, {"start": 1744.94, "end": 1745.3, "word": " كل", "probability": 0.91455078125}, {"start": 1745.3, "end": 1746.1, "word": " المعلومات", "probability": 0.986572265625}, {"start": 1746.1, "end": 1746.76, "word": " الخاصة", "probability": 0.96337890625}, {"start": 1746.76, "end": 1747.22, "word": " بمين", "probability": 0.635498046875}, {"start": 1747.22, "end": 1748.12, "word": " بهذه", "probability": 0.85400390625}, {"start": 1748.12, "end": 1748.4, "word": " ال", "probability": 0.900390625}, {"start": 1748.4, "end": 1748.88, "word": " parabola", "probability": 0.658935546875}, {"start": 1748.88, "end": 1749.78, "word": " بنقولها", "probability": 0.4921061197916667}, {"start": 1749.78, "end": 1750.4, "word": " بسيطة", "probability": 0.97529296875}, {"start": 1750.4, "end": 1750.78, "word": " يبقى", "probability": 0.942626953125}, {"start": 1750.78, "end": 1751.24, "word": " أول", "probability": 0.90283203125}, {"start": 1751.24, "end": 1751.72, "word": " شغلة", "probability": 0.8572591145833334}, {"start": 1751.72, "end": 1752.08, "word": " بدنا", "probability": 0.9287109375}, {"start": 1752.08, "end": 1752.88, "word": " نعملها", "probability": 0.989013671875}, {"start": 1752.88, "end": 1753.58, "word": " بنقول", "probability": 0.693115234375}, {"start": 1753.58, "end": 1753.82, "word": " هذا", "probability": 0.59326171875}, {"start": 1753.82, "end": 1754.42, "word": " محور", "probability": 0.9708658854166666}, {"start": 1754.42, "end": 1754.8, "word": " X", "probability": 0.7734375}, {"start": 1754.8, "end": 1755.24, "word": " هذا", "probability": 0.71484375}, {"start": 1755.24, "end": 1755.78, "word": " Y", "probability": 0.97705078125}, {"start": 1755.78, "end": 1756.38, "word": " هذا", "probability": 0.75341796875}, {"start": 1756.38, "end": 1756.82, "word": " هو", "probability": 0.9658203125}, {"start": 1756.82, "end": 1757.12, "word": " ال", "probability": 0.8505859375}, {"start": 1757.12, "end": 1757.48, "word": " zero", "probability": 0.377197265625}, {"start": 1757.48, "end": 1758.38, "word": " بدي", "probability": 0.6541748046875}, {"start": 1758.38, "end": 1758.56, "word": " ال", "probability": 0.87451171875}, {"start": 1758.56, "end": 1759.1, "word": " parabola", "probability": 0.97900390625}, {"start": 1759.1, "end": 1759.82, "word": " الأصلية", "probability": 0.737060546875}, {"start": 1759.82, "end": 1760.48, "word": " بتطلع", "probability": 0.89208984375}, {"start": 1760.48, "end": 1760.66, "word": " في", "probability": 0.9677734375}, {"start": 1760.66, "end": 1761.14, "word": " شكل", "probability": 0.986572265625}, {"start": 1761.14, "end": 1761.9, "word": " المعادلة", "probability": 0.9681396484375}, {"start": 1761.9, "end": 1762.6, "word": " X", "probability": 0.9443359375}, {"start": 1762.6, "end": 1763.06, "word": " تربيع", "probability": 0.66571044921875}, {"start": 1763.06, "end": 1763.62, "word": " يسوى", "probability": 0.78857421875}, {"start": 1763.62, "end": 1764.2, "word": " 6", "probability": 0.7314453125}, {"start": 1764.2, "end": 1765.34, "word": " يبقى", "probability": 0.9813232421875}, {"start": 1765.34, "end": 1766.02, "word": " المركزة", "probability": 0.948486328125}, {"start": 1766.02, "end": 1766.4, "word": " النقطة", "probability": 0.8359375}, {"start": 1766.4, "end": 1766.84, "word": " الأصلية", "probability": 0.7705078125}, {"start": 1766.84, "end": 1767.38, "word": " مفتوحة", "probability": 0.979248046875}, {"start": 1767.38, "end": 1767.52, "word": " إلى", "probability": 0.43115234375}, {"start": 1767.52, "end": 1767.94, "word": " أين؟", "probability": 0.6573079427083334}, {"start": 1767.94, "end": 1768.6, "word": " إلى", "probability": 0.88818359375}, {"start": 1768.6, "end": 1769.24, "word": " أعلى", "probability": 0.96728515625}, {"start": 1769.24, "end": 1770.14, "word": " يبقى", "probability": 0.956298828125}, {"start": 1770.14, "end": 1770.44, "word": " هذا", "probability": 0.77392578125}, {"start": 1770.44, "end": 1770.62, "word": " ال", "probability": 0.95947265625}, {"start": 1770.62, "end": 1771.16, "word": " parabola", "probability": 0.979736328125}, {"start": 1771.16, "end": 1771.36, "word": " اللي", "probability": 0.88916015625}, {"start": 1771.36, "end": 1771.8, "word": " عندنا", "probability": 0.868896484375}, {"start": 1771.8, "end": 1772.38, "word": " بالشكل", "probability": 0.93408203125}, {"start": 1772.38, "end": 1772.6, "word": " هذا", "probability": 0.78173828125}], "temperature": 1.0}, {"id": 80, "seek": 180024, "start": 1774.74, "end": 1800.24, "text": "الان عملنا لها إزاحة جهة الشمال بمقدار تلت وحدات يبقى جبنة على البراميل هذه وعملنا لها إزاحة بمقدار تلت وحدات يبقى هذا النقطة كده؟ سالب تلتة يبقى كأنها أصبحت بالشكل اللي عندنا هذا تمام؟ بعدين نزلناها إلى أسفل بمقدار وحدتين", "tokens": [6027, 7649, 6225, 42213, 8315, 5296, 11296, 11933, 11622, 39319, 3660, 10874, 3224, 3660, 25124, 2304, 6027, 4724, 2304, 28543, 9640, 6055, 1211, 2655, 4032, 24401, 9307, 7251, 3555, 4587, 7578, 10874, 3555, 1863, 3660, 15844, 2423, 26890, 10943, 26895, 29538, 4032, 25957, 1211, 8315, 5296, 11296, 11933, 11622, 39319, 3660, 4724, 2304, 28543, 9640, 6055, 1211, 2655, 4032, 24401, 9307, 7251, 3555, 4587, 7578, 23758, 28239, 47432, 3660, 9122, 3215, 3224, 22807, 8608, 6027, 3555, 6055, 1211, 2655, 3660, 7251, 3555, 4587, 7578, 9122, 33456, 11296, 5551, 9381, 3555, 33753, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 46811, 10943, 22807, 39182, 9957, 8717, 11622, 1211, 8315, 11296, 30731, 5551, 3794, 5172, 1211, 4724, 2304, 28543, 9640, 4032, 24401, 2655, 9957], "avg_logprob": -0.18013210970211804, "compression_ratio": 2.109375, "no_speech_prob": 0.0, "words": [{"start": 1774.74, "end": 1775.9, "word": "الان", "probability": 0.4593505859375}, {"start": 1775.9, "end": 1776.46, "word": " عملنا", "probability": 0.8017578125}, {"start": 1776.46, "end": 1776.8, "word": " لها", "probability": 0.88720703125}, {"start": 1776.8, "end": 1777.62, "word": " إزاحة", "probability": 0.7896728515625}, {"start": 1777.62, "end": 1778.2, "word": " جهة", "probability": 0.9747721354166666}, {"start": 1778.2, "end": 1778.76, "word": " الشمال", "probability": 0.9654947916666666}, {"start": 1778.76, "end": 1779.54, "word": " بمقدار", "probability": 0.9442138671875}, {"start": 1779.54, "end": 1780.0, "word": " تلت", "probability": 0.7583821614583334}, {"start": 1780.0, "end": 1780.66, "word": " وحدات", "probability": 0.7688802083333334}, {"start": 1780.66, "end": 1781.48, "word": " يبقى", "probability": 0.9110107421875}, {"start": 1781.48, "end": 1782.0, "word": " جبنة", "probability": 0.92578125}, {"start": 1782.0, "end": 1782.12, "word": " على", "probability": 0.68310546875}, {"start": 1782.12, "end": 1782.7, "word": " البراميل", "probability": 0.537109375}, {"start": 1782.7, "end": 1782.92, "word": " هذه", "probability": 0.28955078125}, {"start": 1782.92, "end": 1783.42, "word": " وعملنا", "probability": 0.8544921875}, {"start": 1783.42, "end": 1783.66, "word": " لها", "probability": 0.98095703125}, {"start": 1783.66, "end": 1784.48, "word": " إزاحة", "probability": 0.986083984375}, {"start": 1784.48, "end": 1785.64, "word": " بمقدار", "probability": 0.983154296875}, {"start": 1785.64, "end": 1786.18, "word": " تلت", "probability": 0.9903971354166666}, {"start": 1786.18, "end": 1786.88, "word": " وحدات", "probability": 0.93408203125}, {"start": 1786.88, "end": 1787.66, "word": " يبقى", "probability": 0.9559326171875}, {"start": 1787.66, "end": 1787.86, "word": " هذا", "probability": 0.3916015625}, {"start": 1787.86, "end": 1788.28, "word": " النقطة", "probability": 0.9034830729166666}, {"start": 1788.28, "end": 1788.96, "word": " كده؟", "probability": 0.668212890625}, {"start": 1788.96, "end": 1789.54, "word": " سالب", "probability": 0.8102213541666666}, {"start": 1789.54, "end": 1790.18, "word": " تلتة", "probability": 0.904541015625}, {"start": 1790.18, "end": 1791.04, "word": " يبقى", "probability": 0.9415283203125}, {"start": 1791.04, "end": 1791.72, "word": " كأنها", "probability": 0.8951822916666666}, {"start": 1791.72, "end": 1792.56, "word": " أصبحت", "probability": 0.958984375}, {"start": 1792.56, "end": 1793.14, "word": " بالشكل", "probability": 0.9734700520833334}, {"start": 1793.14, "end": 1793.34, "word": " اللي", "probability": 0.93798828125}, {"start": 1793.34, "end": 1793.78, "word": " عندنا", "probability": 0.896484375}, {"start": 1793.78, "end": 1794.24, "word": " هذا", "probability": 0.4609375}, {"start": 1794.24, "end": 1795.64, "word": " تمام؟", "probability": 0.77978515625}, {"start": 1795.64, "end": 1796.12, "word": " بعدين", "probability": 0.543212890625}, {"start": 1796.12, "end": 1797.22, "word": " نزلناها", "probability": 0.972265625}, {"start": 1797.22, "end": 1797.5, "word": " إلى", "probability": 0.7998046875}, {"start": 1797.5, "end": 1798.04, "word": " أسفل", "probability": 0.968017578125}, {"start": 1798.04, "end": 1798.94, "word": " بمقدار", "probability": 0.99169921875}, {"start": 1798.94, "end": 1800.24, "word": " وحدتين", "probability": 0.84161376953125}], "temperature": 1.0}, {"id": 81, "seek": 182276, "start": 1800.54, "end": 1822.76, "text": "يبقى جينا نزلنا هنا مقدار واحد اتنين صار هذا سالب تلاتة وسالب اتنين يبقى نزلنا رسمتنا الى اسفل بمقدار سالب تلاتة وسالب اتنين فصار ال parabola هو الخط الأزرق اللى عندنا هذا طيب تمام قل لي", "tokens": [1829, 3555, 4587, 7578, 10874, 1829, 8315, 8717, 11622, 1211, 8315, 34105, 3714, 28543, 9640, 36764, 24401, 1975, 2655, 1863, 9957, 20328, 9640, 23758, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 46952, 6027, 3555, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 8717, 11622, 1211, 8315, 12602, 38251, 2655, 8315, 2423, 7578, 24525, 5172, 1211, 4724, 2304, 28543, 9640, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 46952, 6027, 3555, 1975, 2655, 1863, 9957, 6156, 9381, 9640, 2423, 45729, 4711, 31439, 33962, 9566, 16247, 11622, 2288, 4587, 13672, 7578, 43242, 8315, 23758, 23032, 1829, 3555, 46811, 10943, 12174, 1211, 32239], "avg_logprob": -0.13929687738418578, "compression_ratio": 1.9583333333333333, "no_speech_prob": 0.0, "words": [{"start": 1800.54, "end": 1801.1, "word": "يبقى", "probability": 0.78607177734375}, {"start": 1801.1, "end": 1801.46, "word": " جينا", "probability": 0.6778971354166666}, {"start": 1801.46, "end": 1802.12, "word": " نزلنا", "probability": 0.9859619140625}, {"start": 1802.12, "end": 1802.46, "word": " هنا", "probability": 0.962890625}, {"start": 1802.46, "end": 1803.6, "word": " مقدار", "probability": 0.9677734375}, {"start": 1803.6, "end": 1804.2, "word": " واحد", "probability": 0.842041015625}, {"start": 1804.2, "end": 1804.7, "word": " اتنين", "probability": 0.8099365234375}, {"start": 1804.7, "end": 1805.34, "word": " صار", "probability": 0.876953125}, {"start": 1805.34, "end": 1805.66, "word": " هذا", "probability": 0.9501953125}, {"start": 1805.66, "end": 1806.48, "word": " سالب", "probability": 0.8684895833333334}, {"start": 1806.48, "end": 1807.3, "word": " تلاتة", "probability": 0.913330078125}, {"start": 1807.3, "end": 1807.94, "word": " وسالب", "probability": 0.7869466145833334}, {"start": 1807.94, "end": 1808.5, "word": " اتنين", "probability": 0.987060546875}, {"start": 1808.5, "end": 1809.28, "word": " يبقى", "probability": 0.9525146484375}, {"start": 1809.28, "end": 1809.92, "word": " نزلنا", "probability": 0.9840087890625}, {"start": 1809.92, "end": 1810.72, "word": " رسمتنا", "probability": 0.9774169921875}, {"start": 1810.72, "end": 1811.1, "word": " الى", "probability": 0.876953125}, {"start": 1811.1, "end": 1811.7, "word": " اسفل", "probability": 0.8343098958333334}, {"start": 1811.7, "end": 1812.68, "word": " بمقدار", "probability": 0.982666015625}, {"start": 1812.68, "end": 1813.2, "word": " سالب", "probability": 0.98486328125}, {"start": 1813.2, "end": 1813.76, "word": " تلاتة", "probability": 0.970703125}, {"start": 1813.76, "end": 1814.42, "word": " وسالب", "probability": 0.9558919270833334}, {"start": 1814.42, "end": 1815.0, "word": " اتنين", "probability": 0.9932861328125}, {"start": 1815.0, "end": 1815.84, "word": " فصار", "probability": 0.9694010416666666}, {"start": 1815.84, "end": 1816.02, "word": " ال", "probability": 0.81005859375}, {"start": 1816.02, "end": 1816.62, "word": " parabola", "probability": 0.5787353515625}, {"start": 1816.62, "end": 1816.86, "word": " هو", "probability": 0.9189453125}, {"start": 1816.86, "end": 1817.4, "word": " الخط", "probability": 0.986083984375}, {"start": 1817.4, "end": 1818.32, "word": " الأزرق", "probability": 0.8829345703125}, {"start": 1818.32, "end": 1818.74, "word": " اللى", "probability": 0.8154296875}, {"start": 1818.74, "end": 1819.4, "word": " عندنا", "probability": 0.9931640625}, {"start": 1819.4, "end": 1819.9, "word": " هذا", "probability": 0.919921875}, {"start": 1819.9, "end": 1821.1, "word": " طيب", "probability": 0.9728190104166666}, {"start": 1821.1, "end": 1821.58, "word": " تمام", "probability": 0.69482421875}, {"start": 1821.58, "end": 1822.52, "word": " قل", "probability": 0.6903076171875}, {"start": 1822.52, "end": 1822.76, "word": " لي", "probability": 0.5673828125}], "temperature": 1.0}, {"id": 82, "seek": 184275, "start": 1823.39, "end": 1842.75, "text": "اكتبلي المعادلة الجديدة، بعدين بقول بسيطة المعادلة X ناقص او بعدين بقول the new equation of the parabola is", "tokens": [995, 4117, 2655, 3555, 20292, 9673, 3615, 18513, 37977, 25724, 16254, 41891, 12399, 39182, 9957, 4724, 39648, 4724, 3794, 1829, 9566, 3660, 9673, 3615, 18513, 37977, 1783, 8717, 995, 4587, 9381, 1975, 2407, 39182, 9957, 4724, 39648, 264, 777, 5367, 295, 264, 45729, 4711, 307], "avg_logprob": -0.27241847113422724, "compression_ratio": 1.3387096774193548, "no_speech_prob": 0.0, "words": [{"start": 1823.39, "end": 1824.15, "word": "اكتبلي", "probability": 0.84482421875}, {"start": 1824.15, "end": 1824.87, "word": " المعادلة", "probability": 0.978759765625}, {"start": 1824.87, "end": 1826.09, "word": " الجديدة،", "probability": 0.80743408203125}, {"start": 1826.09, "end": 1826.55, "word": " بعدين", "probability": 0.401123046875}, {"start": 1826.55, "end": 1826.87, "word": " بقول", "probability": 0.8798828125}, {"start": 1826.87, "end": 1827.79, "word": " بسيطة", "probability": 0.8513671875}, {"start": 1827.79, "end": 1829.07, "word": " المعادلة", "probability": 0.9521484375}, {"start": 1829.07, "end": 1830.09, "word": " X", "probability": 0.6640625}, {"start": 1830.09, "end": 1831.47, "word": " ناقص", "probability": 0.80645751953125}, {"start": 1831.47, "end": 1831.95, "word": " او", "probability": 0.6834716796875}, {"start": 1831.95, "end": 1832.31, "word": " بعدين", "probability": 0.891845703125}, {"start": 1832.31, "end": 1832.85, "word": " بقول", "probability": 0.9658203125}, {"start": 1832.85, "end": 1833.75, "word": " the", "probability": 0.474853515625}, {"start": 1833.75, "end": 1835.01, "word": " new", "probability": 0.6943359375}, {"start": 1835.01, "end": 1836.85, "word": " equation", "probability": 0.9775390625}, {"start": 1836.85, "end": 1837.73, "word": " of", "probability": 0.96630859375}, {"start": 1837.73, "end": 1839.01, "word": " the", "probability": 0.921875}, {"start": 1839.01, "end": 1841.75, "word": " parabola", "probability": 0.540771484375}, {"start": 1841.75, "end": 1842.75, "word": " is", "probability": 0.9150390625}], "temperature": 1.0}, {"id": 83, "seek": 187175, "start": 1843.91, "end": 1871.75, "text": "الـ X عملنا shift جهة الشمال بمقدار سالم 13 بالصغير زائد 3 لكل تربيع يسوى 6Y ناقص ناقص 2 يعني زائد 2 يبقى هذه المعادلة الجديدة لمن؟ للبرابل اللي طلبها قال لي خد البرابل اعملك اكتبلي المعادلة الجديدة", "tokens": [6027, 39184, 1783, 6225, 42213, 8315, 5513, 10874, 3224, 3660, 25124, 2304, 6027, 4724, 2304, 28543, 9640, 8608, 45340, 3705, 20666, 9381, 17082, 13546, 30767, 16373, 3215, 805, 5296, 28820, 6055, 2288, 21292, 3615, 7251, 3794, 2407, 7578, 1386, 56, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 568, 37495, 22653, 30767, 16373, 3215, 568, 7251, 3555, 4587, 7578, 29538, 9673, 3615, 18513, 37977, 25724, 16254, 41891, 5296, 27842, 22807, 24976, 26890, 16758, 1211, 13672, 1829, 23032, 46152, 11296, 50239, 32239, 16490, 3215, 2423, 26890, 16758, 1211, 1975, 25957, 1211, 4117, 1975, 4117, 2655, 3555, 20292, 9673, 3615, 18513, 37977, 25724, 16254, 41891], "avg_logprob": -0.20387619762466505, "compression_ratio": 1.7563451776649746, "no_speech_prob": 0.0, "words": [{"start": 1843.91, "end": 1844.35, "word": "الـ", "probability": 0.46533203125}, {"start": 1844.35, "end": 1844.71, "word": " X", "probability": 0.7421875}, {"start": 1844.71, "end": 1845.89, "word": " عملنا", "probability": 0.9103190104166666}, {"start": 1845.89, "end": 1846.39, "word": " shift", "probability": 0.5341796875}, {"start": 1846.39, "end": 1846.87, "word": " جهة", "probability": 0.8391927083333334}, {"start": 1846.87, "end": 1847.31, "word": " الشمال", "probability": 0.9835611979166666}, {"start": 1847.31, "end": 1848.15, "word": " بمقدار", "probability": 0.9659423828125}, {"start": 1848.15, "end": 1849.01, "word": " سالم", "probability": 0.48602294921875}, {"start": 1849.01, "end": 1849.39, "word": " 13", "probability": 0.796875}, {"start": 1849.39, "end": 1850.07, "word": " بالصغير", "probability": 0.9403076171875}, {"start": 1850.07, "end": 1851.29, "word": " زائد", "probability": 0.7438151041666666}, {"start": 1851.29, "end": 1851.79, "word": " 3", "probability": 0.79736328125}, {"start": 1851.79, "end": 1852.35, "word": " لكل", "probability": 0.776123046875}, {"start": 1852.35, "end": 1853.13, "word": " تربيع", "probability": 0.8641357421875}, {"start": 1853.13, "end": 1854.01, "word": " يسوى", "probability": 0.80615234375}, {"start": 1854.01, "end": 1855.55, "word": " 6Y", "probability": 0.89111328125}, {"start": 1855.55, "end": 1856.69, "word": " ناقص", "probability": 0.77911376953125}, {"start": 1856.69, "end": 1857.31, "word": " ناقص", "probability": 0.9822998046875}, {"start": 1857.31, "end": 1857.85, "word": " 2", "probability": 0.77587890625}, {"start": 1857.85, "end": 1858.27, "word": " يعني", "probability": 0.923095703125}, {"start": 1858.27, "end": 1859.09, "word": " زائد", "probability": 0.9384765625}, {"start": 1859.09, "end": 1859.89, "word": " 2", "probability": 0.720703125}, {"start": 1859.89, "end": 1860.99, "word": " يبقى", "probability": 0.79168701171875}, {"start": 1860.99, "end": 1861.37, "word": " هذه", "probability": 0.445068359375}, {"start": 1861.37, "end": 1862.19, "word": " المعادلة", "probability": 0.989501953125}, {"start": 1862.19, "end": 1862.87, "word": " الجديدة", "probability": 0.9833984375}, {"start": 1862.87, "end": 1863.77, "word": " لمن؟", "probability": 0.7737630208333334}, {"start": 1863.77, "end": 1864.93, "word": " للبرابل", "probability": 0.610015869140625}, {"start": 1864.93, "end": 1865.19, "word": " اللي", "probability": 0.825439453125}, {"start": 1865.19, "end": 1865.95, "word": " طلبها", "probability": 0.9969075520833334}, {"start": 1865.95, "end": 1867.11, "word": " قال", "probability": 0.35009765625}, {"start": 1867.11, "end": 1867.27, "word": " لي", "probability": 0.72705078125}, {"start": 1867.27, "end": 1867.63, "word": " خد", "probability": 0.88330078125}, {"start": 1867.63, "end": 1868.55, "word": " البرابل", "probability": 0.8978271484375}, {"start": 1868.55, "end": 1869.43, "word": " اعملك", "probability": 0.6103515625}, {"start": 1869.43, "end": 1870.13, "word": " اكتبلي", "probability": 0.93056640625}, {"start": 1870.13, "end": 1871.35, "word": " المعادلة", "probability": 0.98828125}, {"start": 1871.35, "end": 1871.75, "word": " الجديدة", "probability": 0.9851888020833334}], "temperature": 1.0}, {"id": 84, "seek": 188975, "start": 1872.77, "end": 1889.75, "text": "هات لل focus و ال vertex و ال axis و كل ما يلزم باجي بقوله the vertex is قداش ال vertex شباب H و K سالب تلاتة و سالب اتنين", "tokens": [3224, 9307, 24976, 1879, 4032, 2423, 28162, 4032, 2423, 10298, 4032, 28242, 19446, 7251, 1211, 11622, 2304, 4724, 26108, 1829, 4724, 39648, 3224, 264, 28162, 307, 12174, 3215, 33599, 2423, 28162, 13412, 3555, 16758, 389, 4032, 591, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4032, 8608, 6027, 3555, 1975, 2655, 1863, 9957], "avg_logprob": -0.23938679920052583, "compression_ratio": 1.3923076923076922, "no_speech_prob": 0.0, "words": [{"start": 1872.77, "end": 1873.21, "word": "هات", "probability": 0.55712890625}, {"start": 1873.21, "end": 1873.35, "word": " لل", "probability": 0.65185546875}, {"start": 1873.35, "end": 1873.89, "word": " focus", "probability": 0.5498046875}, {"start": 1873.89, "end": 1874.27, "word": " و", "probability": 0.471923828125}, {"start": 1874.27, "end": 1874.37, "word": " ال", "probability": 0.83642578125}, {"start": 1874.37, "end": 1874.85, "word": " vertex", "probability": 0.86572265625}, {"start": 1874.85, "end": 1875.07, "word": " و", "probability": 0.96630859375}, {"start": 1875.07, "end": 1875.19, "word": " ال", "probability": 0.970703125}, {"start": 1875.19, "end": 1875.51, "word": " axis", "probability": 0.9052734375}, {"start": 1875.51, "end": 1875.73, "word": " و", "probability": 0.9892578125}, {"start": 1875.73, "end": 1876.21, "word": " كل", "probability": 0.93408203125}, {"start": 1876.21, "end": 1876.53, "word": " ما", "probability": 0.9638671875}, {"start": 1876.53, "end": 1877.29, "word": " يلزم", "probability": 0.99072265625}, {"start": 1877.29, "end": 1878.29, "word": " باجي", "probability": 0.5431315104166666}, {"start": 1878.29, "end": 1879.03, "word": " بقوله", "probability": 0.84228515625}, {"start": 1879.03, "end": 1879.37, "word": " the", "probability": 0.556640625}, {"start": 1879.37, "end": 1880.65, "word": " vertex", "probability": 0.88525390625}, {"start": 1880.65, "end": 1881.91, "word": " is", "probability": 0.830078125}, {"start": 1881.91, "end": 1882.83, "word": " قداش", "probability": 0.85009765625}, {"start": 1882.83, "end": 1882.99, "word": " ال", "probability": 0.85302734375}, {"start": 1882.99, "end": 1883.27, "word": " vertex", "probability": 0.6171875}, {"start": 1883.27, "end": 1884.09, "word": " شباب", "probability": 0.6414388020833334}, {"start": 1884.09, "end": 1885.35, "word": " H", "probability": 0.51806640625}, {"start": 1885.35, "end": 1885.87, "word": " و", "probability": 0.95849609375}, {"start": 1885.87, "end": 1886.31, "word": " K", "probability": 0.8046875}, {"start": 1886.31, "end": 1887.37, "word": " سالب", "probability": 0.7986653645833334}, {"start": 1887.37, "end": 1888.45, "word": " تلاتة", "probability": 0.8887939453125}, {"start": 1888.45, "end": 1888.79, "word": " و", "probability": 0.630859375}, {"start": 1888.79, "end": 1889.25, "word": " سالب", "probability": 0.9498697916666666}, {"start": 1889.25, "end": 1889.75, "word": " اتنين", "probability": 0.963134765625}], "temperature": 1.0}, {"id": 85, "seek": 191422, "start": 1890.1, "end": 1914.22, "text": "بنروح نجيب ال focus مشان نجيب ال focus بدنا P يبقى باجي بقول نرجع للمثلة احنا عندنا اربعة P يساوي كده؟ يساوي ستة ومنها P تساوي كده؟ تلاتة على اتنين يعني واحد ونص اذا بدنا نيجي نطلع هذه المسافة كلها كده؟", "tokens": [3555, 1863, 32887, 5016, 8717, 7435, 1829, 3555, 2423, 1879, 37893, 7649, 8717, 7435, 1829, 3555, 2423, 1879, 47525, 8315, 430, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 8717, 47341, 3615, 5296, 19528, 12984, 37977, 1975, 5016, 8315, 43242, 8315, 1975, 25513, 27884, 430, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 7251, 3794, 995, 45865, 8608, 2655, 3660, 4032, 27842, 11296, 430, 6055, 3794, 995, 45865, 9122, 3215, 3224, 22807, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 37495, 22653, 36764, 24401, 4032, 1863, 9381, 1975, 15730, 47525, 8315, 8717, 1829, 7435, 1829, 8717, 9566, 1211, 3615, 29538, 9673, 3794, 31845, 3660, 28242, 11296, 9122, 3215, 3224, 22807], "avg_logprob": -0.15735619258036657, "compression_ratio": 1.809278350515464, "no_speech_prob": 0.0, "words": [{"start": 1890.1, "end": 1890.88, "word": "بنروح", "probability": 0.493682861328125}, {"start": 1890.88, "end": 1891.28, "word": " نجيب", "probability": 0.90234375}, {"start": 1891.28, "end": 1891.48, "word": " ال", "probability": 0.951171875}, {"start": 1891.48, "end": 1892.18, "word": " focus", "probability": 0.86572265625}, {"start": 1892.18, "end": 1893.12, "word": " مشان", "probability": 0.60028076171875}, {"start": 1893.12, "end": 1893.5, "word": " نجيب", "probability": 0.979736328125}, {"start": 1893.5, "end": 1893.64, "word": " ال", "probability": 0.97412109375}, {"start": 1893.64, "end": 1894.16, "word": " focus", "probability": 0.98779296875}, {"start": 1894.16, "end": 1894.76, "word": " بدنا", "probability": 0.893310546875}, {"start": 1894.76, "end": 1895.12, "word": " P", "probability": 0.91650390625}, {"start": 1895.12, "end": 1896.22, "word": " يبقى", "probability": 0.9569091796875}, {"start": 1896.22, "end": 1896.62, "word": " باجي", "probability": 0.81787109375}, {"start": 1896.62, "end": 1897.08, "word": " بقول", "probability": 0.832763671875}, {"start": 1897.08, "end": 1897.62, "word": " نرجع", "probability": 0.9578450520833334}, {"start": 1897.62, "end": 1898.48, "word": " للمثلة", "probability": 0.8712158203125}, {"start": 1898.48, "end": 1899.08, "word": " احنا", "probability": 0.89501953125}, {"start": 1899.08, "end": 1899.82, "word": " عندنا", "probability": 0.973388671875}, {"start": 1899.82, "end": 1900.74, "word": " اربعة", "probability": 0.778564453125}, {"start": 1900.74, "end": 1901.16, "word": " P", "probability": 0.98291015625}, {"start": 1901.16, "end": 1901.58, "word": " يساوي", "probability": 0.832763671875}, {"start": 1901.58, "end": 1902.3, "word": " كده؟", "probability": 0.69842529296875}, {"start": 1902.3, "end": 1903.3, "word": " يساوي", "probability": 0.9510498046875}, {"start": 1903.3, "end": 1903.88, "word": " ستة", "probability": 0.9200846354166666}, {"start": 1903.88, "end": 1904.5, "word": " ومنها", "probability": 0.8876953125}, {"start": 1904.5, "end": 1904.9, "word": " P", "probability": 0.9853515625}, {"start": 1904.9, "end": 1905.58, "word": " تساوي", "probability": 0.9703369140625}, {"start": 1905.58, "end": 1906.44, "word": " كده؟", "probability": 0.95361328125}, {"start": 1906.44, "end": 1907.32, "word": " تلاتة", "probability": 0.882080078125}, {"start": 1907.32, "end": 1907.52, "word": " على", "probability": 0.76318359375}, {"start": 1907.52, "end": 1907.98, "word": " اتنين", "probability": 0.976318359375}, {"start": 1907.98, "end": 1908.34, "word": " يعني", "probability": 0.97314453125}, {"start": 1908.34, "end": 1909.16, "word": " واحد", "probability": 0.979248046875}, {"start": 1909.16, "end": 1909.84, "word": " ونص", "probability": 0.8404947916666666}, {"start": 1909.84, "end": 1910.5, "word": " اذا", "probability": 0.607666015625}, {"start": 1910.5, "end": 1911.54, "word": " بدنا", "probability": 0.919677734375}, {"start": 1911.54, "end": 1911.82, "word": " نيجي", "probability": 0.8741455078125}, {"start": 1911.82, "end": 1912.22, "word": " نطلع", "probability": 0.9935302734375}, {"start": 1912.22, "end": 1912.52, "word": " هذه", "probability": 0.8603515625}, {"start": 1912.52, "end": 1913.08, "word": " المسافة", "probability": 0.9881591796875}, {"start": 1913.08, "end": 1913.44, "word": " كلها", "probability": 0.9130859375}, {"start": 1913.44, "end": 1914.22, "word": " كده؟", "probability": 0.971923828125}], "temperature": 1.0}, {"id": 86, "seek": 193664, "start": 1916.04, "end": 1936.64, "text": "هذه المسافة كل اتنين، وما نطلع واحد ونص يعني بدنا نوصل لهنا، يبقى المسافة الصغيرة كلها هذه كم؟ طولها يساوي نص، إذا الإحداث يتبع هذه النقطة هو كم؟ سالب تلاتة، ما تغيرشه، سالب نص", "tokens": [3224, 24192, 9673, 3794, 31845, 3660, 28242, 1975, 2655, 1863, 9957, 12399, 4032, 15042, 8717, 9566, 1211, 3615, 36764, 24401, 4032, 1863, 9381, 37495, 22653, 47525, 8315, 8717, 2407, 36520, 46740, 8315, 12399, 7251, 3555, 4587, 7578, 9673, 3794, 31845, 3660, 31767, 17082, 48923, 28242, 11296, 29538, 9122, 2304, 22807, 23032, 12610, 11296, 7251, 3794, 995, 45865, 8717, 9381, 12399, 11933, 15730, 33688, 24401, 5718, 104, 7251, 2655, 3555, 3615, 29538, 28239, 47432, 3660, 31439, 9122, 2304, 22807, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 12399, 19446, 6055, 17082, 13546, 8592, 3224, 12399, 8608, 6027, 3555, 8717, 9381], "avg_logprob": -0.22159090668264061, "compression_ratio": 1.782122905027933, "no_speech_prob": 0.0, "words": [{"start": 1916.04, "end": 1916.74, "word": "هذه", "probability": 0.68115234375}, {"start": 1916.74, "end": 1917.46, "word": " المسافة", "probability": 0.9666748046875}, {"start": 1917.46, "end": 1917.82, "word": " كل", "probability": 0.92529296875}, {"start": 1917.82, "end": 1918.32, "word": " اتنين،", "probability": 0.7056640625}, {"start": 1918.32, "end": 1918.4, "word": " وما", "probability": 0.2340087890625}, {"start": 1918.4, "end": 1918.82, "word": " نطلع", "probability": 0.8363037109375}, {"start": 1918.82, "end": 1919.22, "word": " واحد", "probability": 0.89599609375}, {"start": 1919.22, "end": 1919.66, "word": " ونص", "probability": 0.673095703125}, {"start": 1919.66, "end": 1920.0, "word": " يعني", "probability": 0.79638671875}, {"start": 1920.0, "end": 1920.32, "word": " بدنا", "probability": 0.7030029296875}, {"start": 1920.32, "end": 1920.76, "word": " نوصل", "probability": 0.9830729166666666}, {"start": 1920.76, "end": 1922.06, "word": " لهنا،", "probability": 0.5152994791666666}, {"start": 1922.06, "end": 1922.62, "word": " يبقى", "probability": 0.9591064453125}, {"start": 1922.62, "end": 1923.5, "word": " المسافة", "probability": 0.987060546875}, {"start": 1923.5, "end": 1924.22, "word": " الصغيرة", "probability": 0.9798177083333334}, {"start": 1924.22, "end": 1924.82, "word": " كلها", "probability": 0.91064453125}, {"start": 1924.82, "end": 1925.1, "word": " هذه", "probability": 0.3701171875}, {"start": 1925.1, "end": 1926.2, "word": " كم؟", "probability": 0.6703287760416666}, {"start": 1926.2, "end": 1926.8, "word": " طولها", "probability": 0.9720052083333334}, {"start": 1926.8, "end": 1927.5, "word": " يساوي", "probability": 0.9014892578125}, {"start": 1927.5, "end": 1928.34, "word": " نص،", "probability": 0.8712565104166666}, {"start": 1928.34, "end": 1928.64, "word": " إذا", "probability": 0.702880859375}, {"start": 1928.64, "end": 1929.44, "word": " الإحداث", "probability": 0.876708984375}, {"start": 1929.44, "end": 1930.04, "word": " يتبع", "probability": 0.910888671875}, {"start": 1930.04, "end": 1930.48, "word": " هذه", "probability": 0.98583984375}, {"start": 1930.48, "end": 1931.06, "word": " النقطة", "probability": 0.9847005208333334}, {"start": 1931.06, "end": 1931.28, "word": " هو", "probability": 0.65478515625}, {"start": 1931.28, "end": 1932.28, "word": " كم؟", "probability": 0.97998046875}, {"start": 1932.28, "end": 1933.32, "word": " سالب", "probability": 0.77783203125}, {"start": 1933.32, "end": 1934.02, "word": " تلاتة،", "probability": 0.8544921875}, {"start": 1934.02, "end": 1934.06, "word": " ما", "probability": 0.488037109375}, {"start": 1934.06, "end": 1935.24, "word": " تغيرشه،", "probability": 0.84326171875}, {"start": 1935.24, "end": 1936.22, "word": " سالب", "probability": 0.9827473958333334}, {"start": 1936.22, "end": 1936.64, "word": " نص", "probability": 0.99609375}], "temperature": 1.0}, {"id": 87, "seek": 194856, "start": 1937.06, "end": 1948.56, "text": "اذا الـ automatic بروح بقوله the focus is اللغمين سالب تلاتة وسالب نص", "tokens": [45636, 995, 2423, 39184, 12509, 4724, 32887, 5016, 4724, 39648, 3224, 264, 1879, 307, 13672, 17082, 2304, 9957, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 46952, 6027, 3555, 8717, 9381], "avg_logprob": -0.41179435868417064, "compression_ratio": 1.1145833333333333, "no_speech_prob": 0.0, "words": [{"start": 1937.06, "end": 1937.5, "word": "اذا", "probability": 0.499755859375}, {"start": 1937.5, "end": 1937.64, "word": " الـ", "probability": 0.1502685546875}, {"start": 1937.64, "end": 1938.08, "word": " automatic", "probability": 0.58740234375}, {"start": 1938.08, "end": 1939.14, "word": " بروح", "probability": 0.8206380208333334}, {"start": 1939.14, "end": 1939.96, "word": " بقوله", "probability": 0.8191731770833334}, {"start": 1939.96, "end": 1940.12, "word": " the", "probability": 0.385009765625}, {"start": 1940.12, "end": 1941.7, "word": " focus", "probability": 0.974609375}, {"start": 1941.7, "end": 1943.12, "word": " is", "probability": 0.94970703125}, {"start": 1943.12, "end": 1945.44, "word": " اللغمين", "probability": 0.5738525390625}, {"start": 1945.44, "end": 1946.32, "word": " سالب", "probability": 0.82470703125}, {"start": 1946.32, "end": 1947.2, "word": " تلاتة", "probability": 0.967041015625}, {"start": 1947.2, "end": 1948.16, "word": " وسالب", "probability": 0.9012044270833334}, {"start": 1948.16, "end": 1948.56, "word": " نص", "probability": 0.990966796875}], "temperature": 1.0}, {"id": 88, "seek": 196956, "start": 1950.12, "end": 1969.56, "text": "يبقى جيبناه ال vertex اللي جال عليها ها و ال focus جال اللي هات لل axis ال axis هو الخط اللي عندنا، ده جديش ال axis ال axis is ال x يساوي سالم ثلاثة بقى اللي عندنا بس مين؟", "tokens": [1829, 3555, 4587, 7578, 10874, 1829, 3555, 8315, 3224, 2423, 6509, 3121, 13672, 1829, 10874, 6027, 25894, 11296, 8032, 995, 4032, 2423, 1879, 10874, 6027, 13672, 1829, 8032, 9307, 24976, 10298, 2423, 10298, 31439, 33962, 9566, 13672, 1829, 43242, 8315, 12399, 11778, 3224, 10874, 16254, 8592, 2423, 10298, 2423, 10298, 307, 2423, 2031, 7251, 3794, 995, 45865, 8608, 45340, 38637, 1211, 5718, 104, 3660, 4724, 4587, 7578, 13672, 1829, 43242, 8315, 4724, 3794, 3714, 9957, 22807], "avg_logprob": -0.36566557203020367, "compression_ratio": 1.767741935483871, "no_speech_prob": 0.0, "words": [{"start": 1950.12, "end": 1950.6, "word": "يبقى", "probability": 0.74127197265625}, {"start": 1950.6, "end": 1951.16, "word": " جيبناه", "probability": 0.731591796875}, {"start": 1951.16, "end": 1951.32, "word": " ال", "probability": 0.89013671875}, {"start": 1951.32, "end": 1952.22, "word": " vertex", "probability": 0.568603515625}, {"start": 1952.22, "end": 1952.64, "word": " اللي", "probability": 0.7900390625}, {"start": 1952.64, "end": 1952.96, "word": " جال", "probability": 0.796875}, {"start": 1952.96, "end": 1953.68, "word": " عليها", "probability": 0.97705078125}, {"start": 1953.68, "end": 1954.46, "word": " ها", "probability": 0.5299072265625}, {"start": 1954.46, "end": 1954.84, "word": " و", "probability": 0.451171875}, {"start": 1954.84, "end": 1955.02, "word": " ال", "probability": 0.87158203125}, {"start": 1955.02, "end": 1955.46, "word": " focus", "probability": 0.9873046875}, {"start": 1955.46, "end": 1955.78, "word": " جال", "probability": 0.77099609375}, {"start": 1955.78, "end": 1955.9, "word": " اللي", "probability": 0.571044921875}, {"start": 1955.9, "end": 1956.16, "word": " هات", "probability": 0.5494384765625}, {"start": 1956.16, "end": 1956.34, "word": " لل", "probability": 0.78076171875}, {"start": 1956.34, "end": 1956.84, "word": " axis", "probability": 0.77783203125}, {"start": 1956.84, "end": 1957.52, "word": " ال", "probability": 0.77197265625}, {"start": 1957.52, "end": 1957.94, "word": " axis", "probability": 0.94091796875}, {"start": 1957.94, "end": 1958.2, "word": " هو", "probability": 0.97265625}, {"start": 1958.2, "end": 1958.82, "word": " الخط", "probability": 0.986328125}, {"start": 1958.82, "end": 1959.18, "word": " اللي", "probability": 0.925048828125}, {"start": 1959.18, "end": 1959.8, "word": " عندنا،", "probability": 0.6485188802083334}, {"start": 1959.8, "end": 1959.86, "word": " ده", "probability": 0.5135498046875}, {"start": 1959.86, "end": 1960.34, "word": " جديش", "probability": 0.72119140625}, {"start": 1960.34, "end": 1960.52, "word": " ال", "probability": 0.986328125}, {"start": 1960.52, "end": 1961.2, "word": " axis", "probability": 0.74365234375}, {"start": 1961.2, "end": 1962.62, "word": " ال", "probability": 0.533203125}, {"start": 1962.62, "end": 1963.52, "word": " axis", "probability": 0.71630859375}, {"start": 1963.52, "end": 1964.62, "word": " is", "probability": 0.287353515625}, {"start": 1964.62, "end": 1965.24, "word": " ال", "probability": 0.76171875}, {"start": 1965.24, "end": 1965.62, "word": " x", "probability": 0.56494140625}, {"start": 1965.62, "end": 1966.38, "word": " يساوي", "probability": 0.93896484375}, {"start": 1966.38, "end": 1966.94, "word": " سالم", "probability": 0.776611328125}, {"start": 1966.94, "end": 1967.84, "word": " ثلاثة", "probability": 0.843896484375}, {"start": 1967.84, "end": 1968.18, "word": " بقى", "probability": 0.53662109375}, {"start": 1968.18, "end": 1968.32, "word": " اللي", "probability": 0.72216796875}, {"start": 1968.32, "end": 1968.54, "word": " عندنا", "probability": 0.91748046875}, {"start": 1968.54, "end": 1968.78, "word": " بس", "probability": 0.7451171875}, {"start": 1968.78, "end": 1969.56, "word": " مين؟", "probability": 0.7760416666666666}], "temperature": 1.0}, {"id": 89, "seek": 199201, "start": 1969.71, "end": 1992.01, "text": "الـ Directrix يبقى الـ Directrix بدي أنزل هنا تحت مسافة مقدرها اتنين و واحدة و نص، تمام؟ يعني المسافة هذه كمان تلاتة على اتنين لإن المسافة هذه كلها ليه تلاتة على اتنين؟ شوف يا سيدي", "tokens": [6027, 39184, 18308, 6579, 7251, 3555, 4587, 7578, 2423, 39184, 18308, 6579, 4724, 16254, 14739, 11622, 1211, 34105, 6055, 33753, 47524, 31845, 3660, 3714, 28543, 2288, 11296, 1975, 2655, 1863, 9957, 4032, 36764, 24401, 3660, 4032, 8717, 9381, 12399, 46811, 10943, 22807, 37495, 22653, 9673, 3794, 31845, 3660, 29538, 9122, 2304, 7649, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 5296, 28814, 1863, 9673, 3794, 31845, 3660, 29538, 28242, 11296, 32239, 3224, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 22807, 13412, 38688, 35186, 8608, 1829, 16254], "avg_logprob": -0.22031249536408318, "compression_ratio": 1.7803468208092486, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1969.71, "end": 1970.05, "word": "الـ", "probability": 0.3280029296875}, {"start": 1970.05, "end": 1971.19, "word": " Directrix", "probability": 0.60223388671875}, {"start": 1971.19, "end": 1971.55, "word": " يبقى", "probability": 0.88623046875}, {"start": 1971.55, "end": 1971.75, "word": " الـ", "probability": 0.76708984375}, {"start": 1971.75, "end": 1972.63, "word": " Directrix", "probability": 0.823974609375}, {"start": 1972.63, "end": 1973.43, "word": " بدي", "probability": 0.60546875}, {"start": 1973.43, "end": 1974.09, "word": " أنزل", "probability": 0.962890625}, {"start": 1974.09, "end": 1974.55, "word": " هنا", "probability": 0.962890625}, {"start": 1974.55, "end": 1975.29, "word": " تحت", "probability": 0.8037109375}, {"start": 1975.29, "end": 1976.43, "word": " مسافة", "probability": 0.9713541666666666}, {"start": 1976.43, "end": 1977.29, "word": " مقدرها", "probability": 0.928466796875}, {"start": 1977.29, "end": 1977.81, "word": " اتنين", "probability": 0.8026123046875}, {"start": 1977.81, "end": 1978.09, "word": " و", "probability": 0.7548828125}, {"start": 1978.09, "end": 1978.59, "word": " واحدة", "probability": 0.7213541666666666}, {"start": 1978.59, "end": 1978.69, "word": " و", "probability": 0.994140625}, {"start": 1978.69, "end": 1979.47, "word": " نص،", "probability": 0.7513020833333334}, {"start": 1979.47, "end": 1980.31, "word": " تمام؟", "probability": 0.8580729166666666}, {"start": 1980.31, "end": 1980.97, "word": " يعني", "probability": 0.93359375}, {"start": 1980.97, "end": 1981.91, "word": " المسافة", "probability": 0.9840087890625}, {"start": 1981.91, "end": 1982.19, "word": " هذه", "probability": 0.67333984375}, {"start": 1982.19, "end": 1982.91, "word": " كمان", "probability": 0.9816080729166666}, {"start": 1982.91, "end": 1983.79, "word": " تلاتة", "probability": 0.87646484375}, {"start": 1983.79, "end": 1984.03, "word": " على", "probability": 0.76318359375}, {"start": 1984.03, "end": 1984.67, "word": " اتنين", "probability": 0.9840087890625}, {"start": 1984.67, "end": 1985.55, "word": " لإن", "probability": 0.7115885416666666}, {"start": 1985.55, "end": 1986.51, "word": " المسافة", "probability": 0.9901123046875}, {"start": 1986.51, "end": 1986.91, "word": " هذه", "probability": 0.88232421875}, {"start": 1986.91, "end": 1988.09, "word": " كلها", "probability": 0.991943359375}, {"start": 1988.09, "end": 1989.35, "word": " ليه", "probability": 0.5924072265625}, {"start": 1989.35, "end": 1989.97, "word": " تلاتة", "probability": 0.9857177734375}, {"start": 1989.97, "end": 1990.15, "word": " على", "probability": 0.896484375}, {"start": 1990.15, "end": 1991.29, "word": " اتنين؟", "probability": 0.92822265625}, {"start": 1991.29, "end": 1991.57, "word": " شوف", "probability": 0.5888671875}, {"start": 1991.57, "end": 1991.77, "word": " يا", "probability": 0.8564453125}, {"start": 1991.77, "end": 1992.01, "word": " سيدي", "probability": 0.7902018229166666}], "temperature": 1.0}, {"id": 90, "seek": 201727, "start": 1992.99, "end": 2017.27, "text": "الان بدي اجيب معادلة ال directrix يبقى هذا هو directrix طلعلي كويس هنا المسافة هذه كلها جداش نان والمسافة هذه واحد و نص، يبقى جداش بصير ثلاثة و نص يعني سبعة على تن باس بإشارة فبروح بقوله هنا Z", "tokens": [6027, 7649, 4724, 16254, 1975, 7435, 1829, 3555, 20449, 18513, 37977, 2423, 2047, 6579, 7251, 3555, 4587, 7578, 23758, 31439, 2047, 6579, 23032, 1211, 3615, 20292, 9122, 45865, 3794, 34105, 9673, 3794, 31845, 3660, 29538, 28242, 11296, 10874, 3215, 33599, 8717, 7649, 16070, 2304, 3794, 31845, 3660, 29538, 36764, 24401, 4032, 8717, 9381, 12399, 7251, 3555, 4587, 7578, 10874, 3215, 33599, 4724, 9381, 13546, 38637, 1211, 5718, 104, 3660, 4032, 8717, 9381, 37495, 22653, 8608, 3555, 27884, 15844, 6055, 1863, 4724, 32277, 4724, 28814, 8592, 9640, 3660, 6156, 26890, 2407, 5016, 4724, 39648, 3224, 34105, 1176], "avg_logprob": -0.28108892735746716, "compression_ratio": 1.712041884816754, "no_speech_prob": 0.0, "words": [{"start": 1992.99, "end": 1993.53, "word": "الان", "probability": 0.685302734375}, {"start": 1993.53, "end": 1993.81, "word": " بدي", "probability": 0.513916015625}, {"start": 1993.81, "end": 1994.19, "word": " اجيب", "probability": 0.8974609375}, {"start": 1994.19, "end": 1994.89, "word": " معادلة", "probability": 0.9658203125}, {"start": 1994.89, "end": 1995.15, "word": " ال", "probability": 0.5419921875}, {"start": 1995.15, "end": 1996.11, "word": " directrix", "probability": 0.52813720703125}, {"start": 1996.11, "end": 1996.69, "word": " يبقى", "probability": 0.76806640625}, {"start": 1996.69, "end": 1997.05, "word": " هذا", "probability": 0.82373046875}, {"start": 1997.05, "end": 1997.75, "word": " هو", "probability": 0.98095703125}, {"start": 1997.75, "end": 2000.11, "word": " directrix", "probability": 0.76025390625}, {"start": 2000.11, "end": 2001.03, "word": " طلعلي", "probability": 0.7799072265625}, {"start": 2001.03, "end": 2001.51, "word": " كويس", "probability": 0.9371744791666666}, {"start": 2001.51, "end": 2001.81, "word": " هنا", "probability": 0.9052734375}, {"start": 2001.81, "end": 2003.65, "word": " المسافة", "probability": 0.9388427734375}, {"start": 2003.65, "end": 2003.89, "word": " هذه", "probability": 0.55712890625}, {"start": 2003.89, "end": 2004.29, "word": " كلها", "probability": 0.73876953125}, {"start": 2004.29, "end": 2004.97, "word": " جداش", "probability": 0.7288411458333334}, {"start": 2004.97, "end": 2006.01, "word": " نان", "probability": 0.436279296875}, {"start": 2006.01, "end": 2007.19, "word": " والمسافة", "probability": 0.861181640625}, {"start": 2007.19, "end": 2007.65, "word": " هذه", "probability": 0.90625}, {"start": 2007.65, "end": 2008.51, "word": " واحد", "probability": 0.921875}, {"start": 2008.51, "end": 2008.65, "word": " و", "probability": 0.93212890625}, {"start": 2008.65, "end": 2008.97, "word": " نص،", "probability": 0.80322265625}, {"start": 2008.97, "end": 2009.09, "word": " يبقى", "probability": 0.7255859375}, {"start": 2009.09, "end": 2009.27, "word": " جداش", "probability": 0.8453776041666666}, {"start": 2009.27, "end": 2009.69, "word": " بصير", "probability": 0.927734375}, {"start": 2009.69, "end": 2010.85, "word": " ثلاثة", "probability": 0.7862548828125}, {"start": 2010.85, "end": 2010.93, "word": " و", "probability": 0.9892578125}, {"start": 2010.93, "end": 2011.17, "word": " نص", "probability": 0.989013671875}, {"start": 2011.17, "end": 2011.41, "word": " يعني", "probability": 0.91455078125}, {"start": 2011.41, "end": 2012.07, "word": " سبعة", "probability": 0.9772135416666666}, {"start": 2012.07, "end": 2012.69, "word": " على", "probability": 0.67431640625}, {"start": 2012.69, "end": 2012.99, "word": " تن", "probability": 0.4906005859375}, {"start": 2012.99, "end": 2013.49, "word": " باس", "probability": 0.73974609375}, {"start": 2013.49, "end": 2014.35, "word": " بإشارة", "probability": 0.85986328125}, {"start": 2014.35, "end": 2015.57, "word": " فبروح", "probability": 0.764678955078125}, {"start": 2015.57, "end": 2016.19, "word": " بقوله", "probability": 0.88232421875}, {"start": 2016.19, "end": 2016.69, "word": " هنا", "probability": 0.96533203125}, {"start": 2016.69, "end": 2017.27, "word": " Z", "probability": 0.2529296875}], "temperature": 1.0}, {"id": 91, "seek": 203787, "start": 2019.87, "end": 2037.87, "text": "بايركتريكس is ويساوي سالب تلاتة على اتنين ويساوي سالب سبعة على اتنين هذا هو معادلة من البايركتريكس", "tokens": [3555, 995, 13546, 4117, 2655, 16572, 4117, 3794, 307, 4032, 1829, 3794, 995, 45865, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 4032, 1829, 3794, 995, 45865, 8608, 6027, 3555, 8608, 3555, 27884, 15844, 1975, 2655, 1863, 9957, 23758, 31439, 20449, 18513, 37977, 9154, 2423, 3555, 995, 13546, 4117, 2655, 16572, 4117, 3794], "avg_logprob": -0.326239209750603, "compression_ratio": 1.8350515463917525, "no_speech_prob": 0.0, "words": [{"start": 2019.87, "end": 2021.27, "word": "بايركتريكس", "probability": 0.7201080322265625}, {"start": 2021.27, "end": 2022.45, "word": " is", "probability": 0.054443359375}, {"start": 2022.45, "end": 2024.93, "word": " ويساوي", "probability": 0.691943359375}, {"start": 2024.93, "end": 2025.85, "word": " سالب", "probability": 0.7259114583333334}, {"start": 2025.85, "end": 2028.17, "word": " تلاتة", "probability": 0.7635498046875}, {"start": 2028.17, "end": 2028.35, "word": " على", "probability": 0.822265625}, {"start": 2028.35, "end": 2028.95, "word": " اتنين", "probability": 0.953125}, {"start": 2028.95, "end": 2030.09, "word": " ويساوي", "probability": 0.85908203125}, {"start": 2030.09, "end": 2031.11, "word": " سالب", "probability": 0.9329427083333334}, {"start": 2031.11, "end": 2032.17, "word": " سبعة", "probability": 0.9763997395833334}, {"start": 2032.17, "end": 2032.97, "word": " على", "probability": 0.92333984375}, {"start": 2032.97, "end": 2033.69, "word": " اتنين", "probability": 0.98046875}, {"start": 2033.69, "end": 2034.39, "word": " هذا", "probability": 0.437255859375}, {"start": 2034.39, "end": 2034.79, "word": " هو", "probability": 0.8203125}, {"start": 2034.79, "end": 2035.97, "word": " معادلة", "probability": 0.9451497395833334}, {"start": 2035.97, "end": 2036.47, "word": " من", "probability": 0.476318359375}, {"start": 2036.47, "end": 2037.87, "word": " البايركتريكس", "probability": 0.8279012044270834}], "temperature": 1.0}, {"id": 92, "seek": 206569, "start": 2042.89, "end": 2065.69, "text": "طيب نذهب للسؤال الذي يليه مثال رقم تلاتة بيقول find the equation of the parabola find the equation of the parabola بدنا معادلة ال parabola with", "tokens": [9566, 1829, 3555, 8717, 24192, 3555, 24976, 3794, 33604, 6027, 43527, 7251, 20292, 3224, 50113, 6027, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 4724, 1829, 39648, 915, 264, 5367, 295, 264, 45729, 4711, 915, 264, 5367, 295, 264, 45729, 4711, 47525, 8315, 20449, 18513, 37977, 2423, 45729, 4711, 365], "avg_logprob": -0.2321874988079071, "compression_ratio": 1.4402985074626866, "no_speech_prob": 0.0, "words": [{"start": 2042.89, "end": 2043.27, "word": "طيب", "probability": 0.6864013671875}, {"start": 2043.27, "end": 2043.75, "word": " نذهب", "probability": 0.74658203125}, {"start": 2043.75, "end": 2044.89, "word": " للسؤال", "probability": 0.9361572265625}, {"start": 2044.89, "end": 2045.67, "word": " الذي", "probability": 0.47265625}, {"start": 2045.67, "end": 2046.47, "word": " يليه", "probability": 0.67333984375}, {"start": 2046.47, "end": 2047.45, "word": " مثال", "probability": 0.935546875}, {"start": 2047.45, "end": 2048.01, "word": " رقم", "probability": 0.9915364583333334}, {"start": 2048.01, "end": 2049.27, "word": " تلاتة", "probability": 0.8858642578125}, {"start": 2049.27, "end": 2051.51, "word": " بيقول", "probability": 0.87060546875}, {"start": 2051.51, "end": 2051.79, "word": " find", "probability": 0.3955078125}, {"start": 2051.79, "end": 2052.01, "word": " the", "probability": 0.59423828125}, {"start": 2052.01, "end": 2052.31, "word": " equation", "probability": 0.95947265625}, {"start": 2052.31, "end": 2052.51, "word": " of", "probability": 0.97216796875}, {"start": 2052.51, "end": 2052.71, "word": " the", "probability": 0.85546875}, {"start": 2052.71, "end": 2053.49, "word": " parabola", "probability": 0.972900390625}, {"start": 2053.49, "end": 2054.15, "word": " find", "probability": 0.3916015625}, {"start": 2054.15, "end": 2055.77, "word": " the", "probability": 0.90380859375}, {"start": 2055.77, "end": 2057.25, "word": " equation", "probability": 0.98486328125}, {"start": 2057.25, "end": 2058.51, "word": " of", "probability": 0.96728515625}, {"start": 2058.51, "end": 2059.83, "word": " the", "probability": 0.859375}, {"start": 2059.83, "end": 2061.83, "word": " parabola", "probability": 0.981201171875}, {"start": 2061.83, "end": 2062.83, "word": " بدنا", "probability": 0.740478515625}, {"start": 2062.83, "end": 2063.49, "word": " معادلة", "probability": 0.8971354166666666}, {"start": 2063.49, "end": 2063.77, "word": " ال", "probability": 0.87255859375}, {"start": 2063.77, "end": 2064.49, "word": " parabola", "probability": 0.8525390625}, {"start": 2064.49, "end": 2065.69, "word": " with", "probability": 0.93359375}], "temperature": 1.0}, {"id": 93, "seek": 208925, "start": 2069.19, "end": 2089.25, "text": "Vertex تلاتة وسالب خمسة And directrix ومعادلته الدليل X بده يساوي اتنين X بده يساوي اتنين Find its focus and axis", "tokens": [53, 911, 3121, 6055, 1211, 9307, 3660, 46952, 6027, 3555, 16490, 2304, 3794, 3660, 400, 2047, 6579, 4032, 2304, 3615, 18513, 1211, 47395, 32748, 20292, 1211, 1783, 47525, 3224, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 1783, 47525, 3224, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 11809, 1080, 1879, 293, 10298], "avg_logprob": -0.263599529310509, "compression_ratio": 1.346774193548387, "no_speech_prob": 0.0, "words": [{"start": 2069.19, "end": 2070.23, "word": "Vertex", "probability": 0.5863444010416666}, {"start": 2070.23, "end": 2071.01, "word": " تلاتة", "probability": 0.8603515625}, {"start": 2071.01, "end": 2071.91, "word": " وسالب", "probability": 0.8201497395833334}, {"start": 2071.91, "end": 2072.87, "word": " خمسة", "probability": 0.9698486328125}, {"start": 2072.87, "end": 2074.03, "word": " And", "probability": 0.19775390625}, {"start": 2074.03, "end": 2075.21, "word": " directrix", "probability": 0.4505615234375}, {"start": 2075.21, "end": 2080.87, "word": " ومعادلته", "probability": 0.7857666015625}, {"start": 2080.87, "end": 2081.71, "word": " الدليل", "probability": 0.9609375}, {"start": 2081.71, "end": 2082.65, "word": " X", "probability": 0.7001953125}, {"start": 2082.65, "end": 2083.23, "word": " بده", "probability": 0.603515625}, {"start": 2083.23, "end": 2083.77, "word": " يساوي", "probability": 0.9281005859375}, {"start": 2083.77, "end": 2085.25, "word": " اتنين", "probability": 0.9512939453125}, {"start": 2085.25, "end": 2085.99, "word": " X", "probability": 0.362060546875}, {"start": 2085.99, "end": 2086.41, "word": " بده", "probability": 0.9462890625}, {"start": 2086.41, "end": 2086.81, "word": " يساوي", "probability": 0.990234375}, {"start": 2086.81, "end": 2087.31, "word": " اتنين", "probability": 0.992919921875}, {"start": 2087.31, "end": 2087.83, "word": " Find", "probability": 0.374755859375}, {"start": 2087.83, "end": 2088.09, "word": " its", "probability": 0.74658203125}, {"start": 2088.09, "end": 2088.49, "word": " focus", "probability": 0.93505859375}, {"start": 2088.49, "end": 2088.79, "word": " and", "probability": 0.9609375}, {"start": 2088.79, "end": 2089.25, "word": " axis", "probability": 0.947265625}], "temperature": 1.0}, {"id": 94, "seek": 213500, "start": 2126.88, "end": 2135.0, "text": "قال لي هاتلي معادلة ال Parabola with vertex تلاتة و سالب خمسة يبقى عطار يمين", "tokens": [4587, 6027, 32239, 8032, 9307, 20292, 20449, 18513, 37977, 2423, 3457, 455, 4711, 365, 28162, 6055, 1211, 9307, 3660, 4032, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 6225, 9566, 9640, 7251, 2304, 9957], "avg_logprob": -0.3046875015685433, "compression_ratio": 1.1009174311926606, "no_speech_prob": 0.0, "words": [{"start": 2126.88, "end": 2127.96, "word": "قال", "probability": 0.6680908203125}, {"start": 2127.96, "end": 2128.04, "word": " لي", "probability": 0.308837890625}, {"start": 2128.04, "end": 2128.42, "word": " هاتلي", "probability": 0.6652018229166666}, {"start": 2128.42, "end": 2129.14, "word": " معادلة", "probability": 0.9754231770833334}, {"start": 2129.14, "end": 2129.44, "word": " ال", "probability": 0.84619140625}, {"start": 2129.44, "end": 2130.26, "word": " Parabola", "probability": 0.5655110677083334}, {"start": 2130.26, "end": 2131.22, "word": " with", "probability": 0.826171875}, {"start": 2131.22, "end": 2131.96, "word": " vertex", "probability": 0.9208984375}, {"start": 2131.96, "end": 2132.6, "word": " تلاتة", "probability": 0.787109375}, {"start": 2132.6, "end": 2132.74, "word": " و", "probability": 0.640625}, {"start": 2132.74, "end": 2133.28, "word": " سالب", "probability": 0.8888346354166666}, {"start": 2133.28, "end": 2133.94, "word": " خمسة", "probability": 0.969970703125}, {"start": 2133.94, "end": 2134.28, "word": " يبقى", "probability": 0.856689453125}, {"start": 2134.28, "end": 2134.6, "word": " عطار", "probability": 0.7483723958333334}, {"start": 2134.6, "end": 2135.0, "word": " يمين", "probability": 0.8440755208333334}], "temperature": 1.0}, {"id": 95, "seek": 215240, "start": 2136.38, "end": 2152.4, "text": "بعد ذلك قال لي Direct X يساوي 8 إذا بدي بسأل لما لاجي ال vertex رقامين هكي بمعمول و shift و لا مش معمول بقول ان ال vertex الاصلية 00 تغيرت بمعمول و shift شو شكله الله أعلم", "tokens": [3555, 22488, 29910, 23275, 50239, 32239, 18308, 1783, 7251, 3794, 995, 45865, 1649, 11933, 15730, 4724, 16254, 4724, 3794, 10721, 1211, 5296, 15042, 5296, 26108, 1829, 2423, 28162, 12602, 4587, 10943, 9957, 8032, 4117, 1829, 4724, 2304, 25957, 12610, 4032, 5513, 4032, 20193, 37893, 3714, 25957, 12610, 4724, 39648, 16472, 2423, 28162, 2423, 33546, 1211, 10632, 7143, 6055, 17082, 13546, 2655, 4724, 2304, 25957, 12610, 4032, 5513, 13412, 2407, 13412, 28820, 3224, 21984, 5551, 3615, 19528], "avg_logprob": -0.453733770878284, "compression_ratio": 1.5780346820809248, "no_speech_prob": 0.0, "words": [{"start": 2136.38, "end": 2137.08, "word": "بعد", "probability": 0.48956298828125}, {"start": 2137.08, "end": 2137.36, "word": " ذلك", "probability": 0.7305908203125}, {"start": 2137.36, "end": 2137.54, "word": " قال", "probability": 0.17822265625}, {"start": 2137.54, "end": 2137.7, "word": " لي", "probability": 0.191162109375}, {"start": 2137.7, "end": 2138.1, "word": " Direct", "probability": 0.10687255859375}, {"start": 2138.1, "end": 2138.78, "word": " X", "probability": 0.509765625}, {"start": 2138.78, "end": 2139.62, "word": " يساوي", "probability": 0.73858642578125}, {"start": 2139.62, "end": 2140.16, "word": " 8", "probability": 0.435791015625}, {"start": 2140.16, "end": 2140.84, "word": " إذا", "probability": 0.58209228515625}, {"start": 2140.84, "end": 2141.2, "word": " بدي", "probability": 0.3297119140625}, {"start": 2141.2, "end": 2141.76, "word": " بسأل", "probability": 0.630126953125}, {"start": 2141.76, "end": 2141.98, "word": " لما", "probability": 0.6636962890625}, {"start": 2141.98, "end": 2142.32, "word": " لاجي", "probability": 0.575439453125}, {"start": 2142.32, "end": 2142.4, "word": " ال", "probability": 0.95556640625}, {"start": 2142.4, "end": 2142.74, "word": " vertex", "probability": 0.59033203125}, {"start": 2142.74, "end": 2143.76, "word": " رقامين", "probability": 0.9266357421875}, {"start": 2143.76, "end": 2144.26, "word": " هكي", "probability": 0.5067545572916666}, {"start": 2144.26, "end": 2144.76, "word": " بمعمول", "probability": 0.8106689453125}, {"start": 2144.76, "end": 2144.88, "word": " و", "probability": 0.83447265625}, {"start": 2144.88, "end": 2145.1, "word": " shift", "probability": 0.7001953125}, {"start": 2145.1, "end": 2145.26, "word": " و", "probability": 0.4462890625}, {"start": 2145.26, "end": 2145.34, "word": " لا", "probability": 0.537109375}, {"start": 2145.34, "end": 2145.52, "word": " مش", "probability": 0.796875}, {"start": 2145.52, "end": 2146.16, "word": " معمول", "probability": 0.8779296875}, {"start": 2146.16, "end": 2147.14, "word": " بقول", "probability": 0.4228515625}, {"start": 2147.14, "end": 2147.34, "word": " ان", "probability": 0.416015625}, {"start": 2147.34, "end": 2147.5, "word": " ال", "probability": 0.9267578125}, {"start": 2147.5, "end": 2147.7, "word": " vertex", "probability": 0.46044921875}, {"start": 2147.7, "end": 2148.26, "word": " الاصلية", "probability": 0.664306640625}, {"start": 2148.26, "end": 2148.82, "word": " 00", "probability": 0.53857421875}, {"start": 2148.82, "end": 2149.96, "word": " تغيرت", "probability": 0.9249267578125}, {"start": 2149.96, "end": 2150.66, "word": " بمعمول", "probability": 0.97021484375}, {"start": 2150.66, "end": 2150.82, "word": " و", "probability": 0.9755859375}, {"start": 2150.82, "end": 2151.02, "word": " shift", "probability": 0.8984375}, {"start": 2151.02, "end": 2151.24, "word": " شو", "probability": 0.8056640625}, {"start": 2151.24, "end": 2151.7, "word": " شكله", "probability": 0.9669596354166666}, {"start": 2151.7, "end": 2151.98, "word": " الله", "probability": 0.8671875}, {"start": 2151.98, "end": 2152.4, "word": " أعلم", "probability": 0.9308268229166666}], "temperature": 1.0}, {"id": 96, "seek": 217790, "start": 2153.1, "end": 2177.9, "text": "قال لي هاتلي كمية البورة تبع ثمان و ال access يبقى أول شغلة بدي أعملها بدي أروح أرسم و أشوف كيف بدي أسير معاه يبقى انا لو جيت للمحاور و روحت قولت هذه المحاور اللي عندنا هذا محور X هذا Y هذا نقطة الاصل بدي أجي ال vertex بدي أمشي هنا تلاتة و أنزل هنا قداشر", "tokens": [4587, 6027, 32239, 8032, 9307, 20292, 9122, 2304, 10632, 29739, 13063, 3660, 6055, 3555, 3615, 38637, 2304, 7649, 4032, 2423, 2105, 7251, 3555, 4587, 7578, 5551, 12610, 13412, 17082, 37977, 4724, 16254, 5551, 25957, 1211, 11296, 4724, 16254, 5551, 32887, 5016, 5551, 2288, 38251, 4032, 5551, 8592, 38688, 9122, 33911, 4724, 16254, 5551, 3794, 13546, 20449, 40294, 7251, 3555, 4587, 7578, 1975, 8315, 45164, 10874, 36081, 5296, 19528, 5016, 995, 13063, 4032, 12602, 2407, 33753, 12174, 12610, 2655, 29538, 9673, 5016, 995, 13063, 13672, 1829, 43242, 8315, 23758, 3714, 5016, 13063, 1783, 23758, 398, 23758, 8717, 47432, 3660, 2423, 33546, 1211, 4724, 16254, 5551, 7435, 1829, 2423, 28162, 4724, 16254, 5551, 2304, 8592, 1829, 34105, 6055, 1211, 9307, 3660, 4032, 14739, 11622, 1211, 34105, 12174, 3215, 33599, 2288], "avg_logprob": -0.22541182170542637, "compression_ratio": 1.8445378151260505, "no_speech_prob": 0.0, "words": [{"start": 2153.1, "end": 2153.56, "word": "قال", "probability": 0.50408935546875}, {"start": 2153.56, "end": 2153.68, "word": " لي", "probability": 0.454345703125}, {"start": 2153.68, "end": 2154.0, "word": " هاتلي", "probability": 0.57177734375}, {"start": 2154.0, "end": 2154.34, "word": " كمية", "probability": 0.837890625}, {"start": 2154.34, "end": 2154.82, "word": " البورة", "probability": 0.7605794270833334}, {"start": 2154.82, "end": 2155.1, "word": " تبع", "probability": 0.8512369791666666}, {"start": 2155.1, "end": 2155.72, "word": " ثمان", "probability": 0.5670572916666666}, {"start": 2155.72, "end": 2156.04, "word": " و", "probability": 0.438232421875}, {"start": 2156.04, "end": 2156.16, "word": " ال", "probability": 0.671875}, {"start": 2156.16, "end": 2156.46, "word": " access", "probability": 0.43505859375}, {"start": 2156.46, "end": 2156.82, "word": " يبقى", "probability": 0.9136962890625}, {"start": 2156.82, "end": 2157.14, "word": " أول", "probability": 0.8056640625}, {"start": 2157.14, "end": 2157.46, "word": " شغلة", "probability": 0.6660970052083334}, {"start": 2157.46, "end": 2157.72, "word": " بدي", "probability": 0.7266845703125}, {"start": 2157.72, "end": 2158.3, "word": " أعملها", "probability": 0.89892578125}, {"start": 2158.3, "end": 2158.9, "word": " بدي", "probability": 0.594970703125}, {"start": 2158.9, "end": 2159.12, "word": " أروح", "probability": 0.8414713541666666}, {"start": 2159.12, "end": 2159.9, "word": " أرسم", "probability": 0.9231770833333334}, {"start": 2159.9, "end": 2160.56, "word": " و", "probability": 0.94482421875}, {"start": 2160.56, "end": 2160.84, "word": " أشوف", "probability": 0.9386393229166666}, {"start": 2160.84, "end": 2161.34, "word": " كيف", "probability": 0.97216796875}, {"start": 2161.34, "end": 2161.6, "word": " بدي", "probability": 0.85986328125}, {"start": 2161.6, "end": 2161.84, "word": " أسير", "probability": 0.6940104166666666}, {"start": 2161.84, "end": 2162.22, "word": " معاه", "probability": 0.866455078125}, {"start": 2162.22, "end": 2163.1, "word": " يبقى", "probability": 0.9630126953125}, {"start": 2163.1, "end": 2163.36, "word": " انا", "probability": 0.7371826171875}, {"start": 2163.36, "end": 2163.6, "word": " لو", "probability": 0.96630859375}, {"start": 2163.6, "end": 2163.86, "word": " جيت", "probability": 0.954833984375}, {"start": 2163.86, "end": 2164.74, "word": " للمحاور", "probability": 0.8884765625}, {"start": 2164.74, "end": 2164.88, "word": " و", "probability": 0.990234375}, {"start": 2164.88, "end": 2165.24, "word": " روحت", "probability": 0.9422200520833334}, {"start": 2165.24, "end": 2165.9, "word": " قولت", "probability": 0.7771809895833334}, {"start": 2165.9, "end": 2166.2, "word": " هذه", "probability": 0.3623046875}, {"start": 2166.2, "end": 2166.92, "word": " المحاور", "probability": 0.995849609375}, {"start": 2166.92, "end": 2167.1, "word": " اللي", "probability": 0.954833984375}, {"start": 2167.1, "end": 2167.72, "word": " عندنا", "probability": 0.779296875}, {"start": 2167.72, "end": 2168.18, "word": " هذا", "probability": 0.78271484375}, {"start": 2168.18, "end": 2168.84, "word": " محور", "probability": 0.9759114583333334}, {"start": 2168.84, "end": 2169.26, "word": " X", "probability": 0.734375}, {"start": 2169.26, "end": 2169.92, "word": " هذا", "probability": 0.76025390625}, {"start": 2169.92, "end": 2170.44, "word": " Y", "probability": 0.98193359375}, {"start": 2170.44, "end": 2170.9, "word": " هذا", "probability": 0.76708984375}, {"start": 2170.9, "end": 2171.3, "word": " نقطة", "probability": 0.9908854166666666}, {"start": 2171.3, "end": 2171.76, "word": " الاصل", "probability": 0.73876953125}, {"start": 2171.76, "end": 2172.52, "word": " بدي", "probability": 0.809326171875}, {"start": 2172.52, "end": 2172.76, "word": " أجي", "probability": 0.7169596354166666}, {"start": 2172.76, "end": 2172.88, "word": " ال", "probability": 0.489013671875}, {"start": 2172.88, "end": 2173.34, "word": " vertex", "probability": 0.72119140625}, {"start": 2173.34, "end": 2173.78, "word": " بدي", "probability": 0.90966796875}, {"start": 2173.78, "end": 2174.36, "word": " أمشي", "probability": 0.9530029296875}, {"start": 2174.36, "end": 2174.8, "word": " هنا", "probability": 0.9814453125}, {"start": 2174.8, "end": 2175.9, "word": " تلاتة", "probability": 0.9652099609375}, {"start": 2175.9, "end": 2176.38, "word": " و", "probability": 0.97705078125}, {"start": 2176.38, "end": 2176.9, "word": " أنزل", "probability": 0.9606119791666666}, {"start": 2176.9, "end": 2177.14, "word": " هنا", "probability": 0.97705078125}, {"start": 2177.14, "end": 2177.9, "word": " قداشر", "probability": 0.781982421875}], "temperature": 1.0}, {"id": 97, "seek": 219861, "start": 2178.19, "end": 2198.61, "text": "سالب خمسة يبقى هذه النقطة تلاتة و سالب خمسة تمام؟ يبقى هذه هي ال vertex مفتوح يمين شمال فوق تحت الله أعلم اللي بده يحكم هذا الكلام ال axis ال axis بيقول X يساوي اتنين", "tokens": [3794, 6027, 3555, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 29538, 28239, 47432, 3660, 6055, 1211, 9307, 3660, 4032, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 29538, 39896, 2423, 28162, 3714, 5172, 2655, 2407, 5016, 7251, 2304, 9957, 13412, 2304, 6027, 6156, 30543, 6055, 33753, 21984, 5551, 3615, 19528, 13672, 1829, 47525, 3224, 7251, 5016, 24793, 23758, 2423, 28820, 10943, 2423, 10298, 2423, 10298, 4724, 1829, 39648, 1783, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957], "avg_logprob": -0.173529412465937, "compression_ratio": 1.6358381502890174, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2178.19, "end": 2178.75, "word": "سالب", "probability": 0.5103556315104166}, {"start": 2178.75, "end": 2179.25, "word": " خمسة", "probability": 0.975341796875}, {"start": 2179.25, "end": 2179.75, "word": " يبقى", "probability": 0.7919921875}, {"start": 2179.75, "end": 2180.03, "word": " هذه", "probability": 0.6474609375}, {"start": 2180.03, "end": 2180.65, "word": " النقطة", "probability": 0.9716796875}, {"start": 2180.65, "end": 2181.51, "word": " تلاتة", "probability": 0.919921875}, {"start": 2181.51, "end": 2182.11, "word": " و", "probability": 0.6220703125}, {"start": 2182.11, "end": 2182.89, "word": " سالب", "probability": 0.8717447916666666}, {"start": 2182.89, "end": 2184.05, "word": " خمسة", "probability": 0.992919921875}, {"start": 2184.05, "end": 2184.83, "word": " تمام؟", "probability": 0.6886393229166666}, {"start": 2184.83, "end": 2185.47, "word": " يبقى", "probability": 0.975830078125}, {"start": 2185.47, "end": 2185.83, "word": " هذه", "probability": 0.87841796875}, {"start": 2185.83, "end": 2186.19, "word": " هي", "probability": 0.9072265625}, {"start": 2186.19, "end": 2186.41, "word": " ال", "probability": 0.953125}, {"start": 2186.41, "end": 2187.07, "word": " vertex", "probability": 0.5703125}, {"start": 2187.07, "end": 2188.25, "word": " مفتوح", "probability": 0.98876953125}, {"start": 2188.25, "end": 2188.85, "word": " يمين", "probability": 0.9640299479166666}, {"start": 2188.85, "end": 2189.77, "word": " شمال", "probability": 0.9111328125}, {"start": 2189.77, "end": 2190.49, "word": " فوق", "probability": 0.963134765625}, {"start": 2190.49, "end": 2190.95, "word": " تحت", "probability": 0.895263671875}, {"start": 2190.95, "end": 2191.45, "word": " الله", "probability": 0.84423828125}, {"start": 2191.45, "end": 2192.03, "word": " أعلم", "probability": 0.9287109375}, {"start": 2192.03, "end": 2193.11, "word": " اللي", "probability": 0.835693359375}, {"start": 2193.11, "end": 2193.41, "word": " بده", "probability": 0.668212890625}, {"start": 2193.41, "end": 2193.87, "word": " يحكم", "probability": 0.9943033854166666}, {"start": 2193.87, "end": 2194.25, "word": " هذا", "probability": 0.9658203125}, {"start": 2194.25, "end": 2194.87, "word": " الكلام", "probability": 0.9744466145833334}, {"start": 2194.87, "end": 2195.09, "word": " ال", "probability": 0.9365234375}, {"start": 2195.09, "end": 2195.55, "word": " axis", "probability": 0.70654296875}, {"start": 2195.55, "end": 2195.79, "word": " ال", "probability": 0.62548828125}, {"start": 2195.79, "end": 2196.09, "word": " axis", "probability": 0.76513671875}, {"start": 2196.09, "end": 2196.43, "word": " بيقول", "probability": 0.8121744791666666}, {"start": 2196.43, "end": 2196.81, "word": " X", "probability": 0.31640625}, {"start": 2196.81, "end": 2197.71, "word": " يساوي", "probability": 0.841796875}, {"start": 2197.71, "end": 2198.61, "word": " اتنين", "probability": 0.7755126953125}], "temperature": 1.0}, {"id": 98, "seek": 221935, "start": 2198.95, "end": 2219.35, "text": "بجي بقولك كويس هذا X يساوي تلاتيك ب X يساوي اتنين جابله ودي يكون صحيح ولا لأ؟ اذا هذا الخط هاج اللي هو مين؟ X يساوي اتنين لأن هذا Zero هذا ال directrix يبدي يكون وين؟", "tokens": [3555, 7435, 1829, 4724, 39648, 4117, 9122, 45865, 3794, 23758, 1783, 7251, 3794, 995, 45865, 6055, 1211, 9307, 1829, 4117, 4724, 1783, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 10874, 16758, 43761, 4032, 16254, 7251, 30544, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 1975, 15730, 23758, 33962, 9566, 8032, 26108, 13672, 1829, 31439, 3714, 9957, 22807, 1783, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 5296, 33456, 23758, 17182, 23758, 2423, 2047, 6579, 7251, 3555, 16254, 7251, 30544, 4032, 9957, 22807], "avg_logprob": -0.3379836164060093, "compression_ratio": 1.7453416149068324, "no_speech_prob": 0.0, "words": [{"start": 2198.95, "end": 2199.37, "word": "بجي", "probability": 0.4957682291666667}, {"start": 2199.37, "end": 2199.83, "word": " بقولك", "probability": 0.90185546875}, {"start": 2199.83, "end": 2200.31, "word": " كويس", "probability": 0.7759602864583334}, {"start": 2200.31, "end": 2200.93, "word": " هذا", "probability": 0.4697265625}, {"start": 2200.93, "end": 2201.33, "word": " X", "probability": 0.48779296875}, {"start": 2201.33, "end": 2201.91, "word": " يساوي", "probability": 0.800048828125}, {"start": 2201.91, "end": 2202.47, "word": " تلاتيك", "probability": 0.810302734375}, {"start": 2202.47, "end": 2202.61, "word": " ب", "probability": 0.548828125}, {"start": 2202.61, "end": 2202.99, "word": " X", "probability": 0.71630859375}, {"start": 2202.99, "end": 2203.71, "word": " يساوي", "probability": 0.975341796875}, {"start": 2203.71, "end": 2203.99, "word": " اتنين", "probability": 0.95166015625}, {"start": 2203.99, "end": 2204.41, "word": " جابله", "probability": 0.6344401041666666}, {"start": 2204.41, "end": 2204.65, "word": " ودي", "probability": 0.4752197265625}, {"start": 2204.65, "end": 2205.03, "word": " يكون", "probability": 0.883056640625}, {"start": 2205.03, "end": 2205.59, "word": " صحيح", "probability": 0.8475341796875}, {"start": 2205.59, "end": 2205.79, "word": " ولا", "probability": 0.69091796875}, {"start": 2205.79, "end": 2206.53, "word": " لأ؟", "probability": 0.76025390625}, {"start": 2206.53, "end": 2206.89, "word": " اذا", "probability": 0.70556640625}, {"start": 2206.89, "end": 2207.47, "word": " هذا", "probability": 0.9326171875}, {"start": 2207.47, "end": 2208.29, "word": " الخط", "probability": 0.977294921875}, {"start": 2208.29, "end": 2209.03, "word": " هاج", "probability": 0.244781494140625}, {"start": 2209.03, "end": 2211.31, "word": " اللي", "probability": 0.806640625}, {"start": 2211.31, "end": 2211.55, "word": " هو", "probability": 0.8828125}, {"start": 2211.55, "end": 2212.17, "word": " مين؟", "probability": 0.6358235677083334}, {"start": 2212.17, "end": 2212.73, "word": " X", "probability": 0.98291015625}, {"start": 2212.73, "end": 2213.89, "word": " يساوي", "probability": 0.9757080078125}, {"start": 2213.89, "end": 2214.45, "word": " اتنين", "probability": 0.9471435546875}, {"start": 2214.45, "end": 2215.09, "word": " لأن", "probability": 0.5867919921875}, {"start": 2215.09, "end": 2215.45, "word": " هذا", "probability": 0.379150390625}, {"start": 2215.45, "end": 2215.95, "word": " Zero", "probability": 0.3505859375}, {"start": 2215.95, "end": 2217.11, "word": " هذا", "probability": 0.732421875}, {"start": 2217.11, "end": 2217.31, "word": " ال", "probability": 0.95166015625}, {"start": 2217.31, "end": 2218.11, "word": " directrix", "probability": 0.4481201171875}, {"start": 2218.11, "end": 2218.35, "word": " يبدي", "probability": 0.5120442708333334}, {"start": 2218.35, "end": 2218.59, "word": " يكون", "probability": 0.96728515625}, {"start": 2218.59, "end": 2219.35, "word": " وين؟", "probability": 0.9454752604166666}], "temperature": 1.0}, {"id": 99, "seek": 223944, "start": 2219.87, "end": 2239.45, "text": "إذا أعلى، بدّي أقعد دائرة 6، وإذا أسفل، بدّي أقعد دائرة 9، وإذا أشمال، بدّي أقعد دائرة 9، إذا مافيش إمكانية إلا جهة اليمين، يبقى جهة اليمين بدّي يكون بالشكل اللي عندنا هذا، يبقى هي رسمنا شكل البرابولة بهذا الشكل", "tokens": [28814, 15730, 5551, 3615, 23942, 12399, 47525, 11703, 1829, 5551, 4587, 22488, 11778, 16373, 25720, 1386, 12399, 4032, 28814, 15730, 5551, 3794, 5172, 1211, 12399, 47525, 11703, 1829, 5551, 4587, 22488, 11778, 16373, 25720, 1722, 12399, 4032, 28814, 15730, 5551, 8592, 2304, 6027, 12399, 47525, 11703, 1829, 5551, 4587, 22488, 11778, 16373, 25720, 1722, 12399, 11933, 15730, 19446, 41185, 8592, 11933, 2304, 41361, 10632, 11933, 15040, 10874, 3224, 3660, 2423, 32640, 9957, 12399, 7251, 3555, 4587, 7578, 10874, 3224, 3660, 2423, 32640, 9957, 47525, 11703, 1829, 7251, 30544, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 12399, 7251, 3555, 4587, 7578, 39896, 12602, 38251, 8315, 13412, 28820, 2423, 26890, 16758, 12610, 3660, 39627, 15730, 25124, 28820], "avg_logprob": -0.21661324633492363, "compression_ratio": 2.2222222222222223, "no_speech_prob": 0.0, "words": [{"start": 2219.87, "end": 2220.19, "word": "إذا", "probability": 0.713134765625}, {"start": 2220.19, "end": 2220.97, "word": " أعلى،", "probability": 0.8138427734375}, {"start": 2220.97, "end": 2221.27, "word": " بدّي", "probability": 0.4411417643229167}, {"start": 2221.27, "end": 2221.57, "word": " أقعد", "probability": 0.5775553385416666}, {"start": 2221.57, "end": 2221.93, "word": " دائرة", "probability": 0.69091796875}, {"start": 2221.93, "end": 2222.39, "word": " 6،", "probability": 0.360107421875}, {"start": 2222.39, "end": 2222.69, "word": " وإذا", "probability": 0.9176432291666666}, {"start": 2222.69, "end": 2223.41, "word": " أسفل،", "probability": 0.97470703125}, {"start": 2223.41, "end": 2223.63, "word": " بدّي", "probability": 0.8933919270833334}, {"start": 2223.63, "end": 2223.93, "word": " أقعد", "probability": 0.9767252604166666}, {"start": 2223.93, "end": 2224.17, "word": " دائرة", "probability": 0.9420572916666666}, {"start": 2224.17, "end": 2224.35, "word": " 9،", "probability": 0.6239013671875}, {"start": 2224.35, "end": 2224.55, "word": " وإذا", "probability": 0.9921875}, {"start": 2224.55, "end": 2225.31, "word": " أشمال،", "probability": 0.88896484375}, {"start": 2225.31, "end": 2225.53, "word": " بدّي", "probability": 0.9365234375}, {"start": 2225.53, "end": 2225.89, "word": " أقعد", "probability": 0.9842122395833334}, {"start": 2225.89, "end": 2226.03, "word": " دائرة", "probability": 0.9109700520833334}, {"start": 2226.03, "end": 2226.05, "word": " 9،", "probability": 0.582275390625}, {"start": 2226.05, "end": 2226.25, "word": " إذا", "probability": 0.919921875}, {"start": 2226.25, "end": 2226.51, "word": " مافيش", "probability": 0.9143880208333334}, {"start": 2226.51, "end": 2227.25, "word": " إمكانية", "probability": 0.906005859375}, {"start": 2227.25, "end": 2227.97, "word": " إلا", "probability": 0.976806640625}, {"start": 2227.97, "end": 2228.83, "word": " جهة", "probability": 0.9830729166666666}, {"start": 2228.83, "end": 2230.17, "word": " اليمين،", "probability": 0.7738037109375}, {"start": 2230.17, "end": 2230.67, "word": " يبقى", "probability": 0.947509765625}, {"start": 2230.67, "end": 2231.25, "word": " جهة", "probability": 0.97412109375}, {"start": 2231.25, "end": 2231.89, "word": " اليمين", "probability": 0.9147135416666666}, {"start": 2231.89, "end": 2232.25, "word": " بدّي", "probability": 0.7683919270833334}, {"start": 2232.25, "end": 2232.49, "word": " يكون", "probability": 0.854736328125}, {"start": 2232.49, "end": 2233.03, "word": " بالشكل", "probability": 0.9554036458333334}, {"start": 2233.03, "end": 2233.21, "word": " اللي", "probability": 0.966552734375}, {"start": 2233.21, "end": 2233.75, "word": " عندنا", "probability": 0.9873046875}, {"start": 2233.75, "end": 2234.61, "word": " هذا،", "probability": 0.744140625}, {"start": 2234.61, "end": 2235.09, "word": " يبقى", "probability": 0.9915771484375}, {"start": 2235.09, "end": 2235.25, "word": " هي", "probability": 0.1717529296875}, {"start": 2235.25, "end": 2235.99, "word": " رسمنا", "probability": 0.9469401041666666}, {"start": 2235.99, "end": 2236.61, "word": " شكل", "probability": 0.966796875}, {"start": 2236.61, "end": 2238.63, "word": " البرابولة", "probability": 0.727001953125}, {"start": 2238.63, "end": 2239.01, "word": " بهذا", "probability": 0.87109375}, {"start": 2239.01, "end": 2239.45, "word": " الشكل", "probability": 0.989990234375}], "temperature": 1.0}, {"id": 100, "seek": 225314, "start": 2240.86, "end": 2253.14, "text": "نجلشو اللي مطلوب جالي هاتلي المعادلة تبعته بقول له هذا مفتوح جهة اليمين ومعموله shift يبقى الأصل تبع المعادلة هي", "tokens": [1863, 7435, 1211, 8592, 2407, 13672, 1829, 3714, 9566, 1211, 37746, 10874, 6027, 1829, 8032, 9307, 20292, 9673, 3615, 18513, 37977, 6055, 3555, 34268, 3224, 4724, 39648, 46740, 23758, 3714, 5172, 2655, 2407, 5016, 10874, 3224, 3660, 2423, 32640, 9957, 4032, 2304, 25957, 12610, 3224, 5513, 7251, 3555, 4587, 7578, 16247, 36520, 6055, 3555, 3615, 9673, 3615, 18513, 37977, 39896], "avg_logprob": -0.2369364802954627, "compression_ratio": 1.5384615384615385, "no_speech_prob": 0.0, "words": [{"start": 2240.86, "end": 2241.72, "word": "نجلشو", "probability": 0.4626220703125}, {"start": 2241.72, "end": 2241.84, "word": " اللي", "probability": 0.7392578125}, {"start": 2241.84, "end": 2242.62, "word": " مطلوب", "probability": 0.9654541015625}, {"start": 2242.62, "end": 2243.32, "word": " جالي", "probability": 0.6072998046875}, {"start": 2243.32, "end": 2243.8, "word": " هاتلي", "probability": 0.7122395833333334}, {"start": 2243.8, "end": 2244.5, "word": " المعادلة", "probability": 0.9708251953125}, {"start": 2244.5, "end": 2245.22, "word": " تبعته", "probability": 0.9593505859375}, {"start": 2245.22, "end": 2245.98, "word": " بقول", "probability": 0.841064453125}, {"start": 2245.98, "end": 2246.18, "word": " له", "probability": 0.6728515625}, {"start": 2246.18, "end": 2246.68, "word": " هذا", "probability": 0.73583984375}, {"start": 2246.68, "end": 2247.32, "word": " مفتوح", "probability": 0.9966796875}, {"start": 2247.32, "end": 2247.76, "word": " جهة", "probability": 0.9713541666666666}, {"start": 2247.76, "end": 2248.26, "word": " اليمين", "probability": 0.8680013020833334}, {"start": 2248.26, "end": 2249.02, "word": " ومعموله", "probability": 0.789208984375}, {"start": 2249.02, "end": 2249.5, "word": " shift", "probability": 0.305908203125}, {"start": 2249.5, "end": 2250.46, "word": " يبقى", "probability": 0.9544677734375}, {"start": 2250.46, "end": 2251.08, "word": " الأصل", "probability": 0.856201171875}, {"start": 2251.08, "end": 2251.7, "word": " تبع", "probability": 0.96142578125}, {"start": 2251.7, "end": 2252.72, "word": " المعادلة", "probability": 0.993408203125}, {"start": 2252.72, "end": 2253.14, "word": " هي", "probability": 0.92333984375}], "temperature": 1.0}, {"id": 101, "seek": 228691, "start": 2258.51, "end": 2286.91, "text": "نقص كل كل تربيع يبدو يساوي مفتوح جهة اليمين يبقى اربعة P X نقص ال H بدنا نعوض فيها يبقى Y نقص K عندنا مايبدواش سالب خمسة يبقى زائب خمسة الكل تربيع يبدو يساوي اربعة كي جداش P الله أعلم نحسبها", "tokens": [1863, 4587, 9381, 28242, 28242, 6055, 2288, 21292, 3615, 7251, 44510, 2407, 7251, 3794, 995, 45865, 3714, 5172, 2655, 2407, 5016, 10874, 3224, 3660, 2423, 32640, 9957, 7251, 3555, 4587, 7578, 1975, 25513, 27884, 430, 1783, 8717, 4587, 9381, 2423, 389, 47525, 8315, 8717, 3615, 2407, 11242, 8978, 11296, 7251, 3555, 4587, 7578, 398, 8717, 4587, 9381, 591, 43242, 8315, 19446, 1829, 44510, 2407, 33599, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 30767, 16373, 3555, 16490, 2304, 3794, 3660, 2423, 28820, 6055, 2288, 21292, 3615, 7251, 44510, 2407, 7251, 3794, 995, 45865, 1975, 25513, 27884, 9122, 1829, 10874, 3215, 33599, 430, 21984, 5551, 3615, 19528, 8717, 5016, 35457, 11296], "avg_logprob": -0.2582236700936368, "compression_ratio": 1.887005649717514, "no_speech_prob": 0.0, "words": [{"start": 2258.51, "end": 2259.67, "word": "نقص", "probability": 0.6608479817708334}, {"start": 2259.67, "end": 2260.51, "word": " كل", "probability": 0.6630859375}, {"start": 2260.51, "end": 2261.31, "word": " كل", "probability": 0.44873046875}, {"start": 2261.31, "end": 2262.21, "word": " تربيع", "probability": 0.7076416015625}, {"start": 2262.21, "end": 2263.15, "word": " يبدو", "probability": 0.4840901692708333}, {"start": 2263.15, "end": 2263.89, "word": " يساوي", "probability": 0.76007080078125}, {"start": 2263.89, "end": 2264.45, "word": " مفتوح", "probability": 0.97314453125}, {"start": 2264.45, "end": 2264.87, "word": " جهة", "probability": 0.9168294270833334}, {"start": 2264.87, "end": 2265.37, "word": " اليمين", "probability": 0.8011067708333334}, {"start": 2265.37, "end": 2265.93, "word": " يبقى", "probability": 0.960693359375}, {"start": 2265.93, "end": 2266.61, "word": " اربعة", "probability": 0.77392578125}, {"start": 2266.61, "end": 2267.01, "word": " P", "probability": 0.66357421875}, {"start": 2267.01, "end": 2267.67, "word": " X", "probability": 0.3828125}, {"start": 2267.67, "end": 2268.69, "word": " نقص", "probability": 0.9303385416666666}, {"start": 2268.69, "end": 2268.89, "word": " ال", "probability": 0.79150390625}, {"start": 2268.89, "end": 2269.21, "word": " H", "probability": 0.85498046875}, {"start": 2269.21, "end": 2270.13, "word": " بدنا", "probability": 0.5748291015625}, {"start": 2270.13, "end": 2270.99, "word": " نعوض", "probability": 0.9053955078125}, {"start": 2270.99, "end": 2271.45, "word": " فيها", "probability": 0.89794921875}, {"start": 2271.45, "end": 2272.71, "word": " يبقى", "probability": 0.974365234375}, {"start": 2272.71, "end": 2273.23, "word": " Y", "probability": 0.91064453125}, {"start": 2273.23, "end": 2273.89, "word": " نقص", "probability": 0.9422200520833334}, {"start": 2273.89, "end": 2274.29, "word": " K", "probability": 0.2301025390625}, {"start": 2274.29, "end": 2274.77, "word": " عندنا", "probability": 0.6627197265625}, {"start": 2274.77, "end": 2275.57, "word": " مايبدواش", "probability": 0.575244140625}, {"start": 2275.57, "end": 2276.53, "word": " سالب", "probability": 0.8693033854166666}, {"start": 2276.53, "end": 2277.11, "word": " خمسة", "probability": 0.9910888671875}, {"start": 2277.11, "end": 2277.65, "word": " يبقى", "probability": 0.9776611328125}, {"start": 2277.65, "end": 2279.05, "word": " زائب", "probability": 0.7864583333333334}, {"start": 2279.05, "end": 2280.23, "word": " خمسة", "probability": 0.9918212890625}, {"start": 2280.23, "end": 2280.83, "word": " الكل", "probability": 0.6644287109375}, {"start": 2280.83, "end": 2281.77, "word": " تربيع", "probability": 0.9578857421875}, {"start": 2281.77, "end": 2282.43, "word": " يبدو", "probability": 0.7322591145833334}, {"start": 2282.43, "end": 2283.17, "word": " يساوي", "probability": 0.9649658203125}, {"start": 2283.17, "end": 2283.99, "word": " اربعة", "probability": 0.9070638020833334}, {"start": 2283.99, "end": 2284.25, "word": " كي", "probability": 0.62451171875}, {"start": 2284.25, "end": 2284.81, "word": " جداش", "probability": 0.7310384114583334}, {"start": 2284.81, "end": 2285.13, "word": " P", "probability": 0.966796875}, {"start": 2285.13, "end": 2285.65, "word": " الله", "probability": 0.9150390625}, {"start": 2285.65, "end": 2286.13, "word": " أعلم", "probability": 0.8370768229166666}, {"start": 2286.13, "end": 2286.91, "word": " نحسبها", "probability": 0.830322265625}], "temperature": 1.0}, {"id": 102, "seek": 231673, "start": 2287.44, "end": 2316.74, "text": "يبقى بيبقى لأنه من؟ X ماقص تلاتة طيب هذه المسافة كلها من هنا لهنا كده شباب؟ تلاتة هذه بتروح منها من هنا لهنا اتنين بتبقى المسافة هذه كده؟ واحد يبقى اصبحت P تساوي واحد يبقى باجي بقوله P تساوي تلاتة ناقص اتنين", "tokens": [1829, 3555, 4587, 7578, 4724, 1829, 3555, 4587, 7578, 5296, 33456, 3224, 9154, 22807, 1783, 19446, 4587, 9381, 6055, 1211, 9307, 3660, 23032, 1829, 3555, 29538, 9673, 3794, 31845, 3660, 28242, 11296, 9154, 34105, 5296, 3224, 8315, 9122, 3215, 3224, 13412, 3555, 16758, 22807, 6055, 1211, 9307, 3660, 29538, 39894, 32887, 5016, 9154, 11296, 9154, 34105, 5296, 3224, 8315, 1975, 2655, 1863, 9957, 39894, 3555, 4587, 7578, 9673, 3794, 31845, 3660, 29538, 9122, 3215, 3224, 22807, 36764, 24401, 7251, 3555, 4587, 7578, 1975, 9381, 3555, 33753, 430, 6055, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 430, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957], "avg_logprob": -0.20996901122006503, "compression_ratio": 2.138728323699422, "no_speech_prob": 0.0, "words": [{"start": 2287.44, "end": 2287.9, "word": "يبقى", "probability": 0.7987060546875}, {"start": 2287.9, "end": 2288.16, "word": " بيبقى", "probability": 0.73505859375}, {"start": 2288.16, "end": 2288.7, "word": " لأنه", "probability": 0.4701334635416667}, {"start": 2288.7, "end": 2289.18, "word": " من؟", "probability": 0.5458984375}, {"start": 2289.18, "end": 2289.92, "word": " X", "probability": 0.625}, {"start": 2289.92, "end": 2291.34, "word": " ماقص", "probability": 0.6565755208333334}, {"start": 2291.34, "end": 2292.34, "word": " تلاتة", "probability": 0.81500244140625}, {"start": 2292.34, "end": 2293.72, "word": " طيب", "probability": 0.7867838541666666}, {"start": 2293.72, "end": 2294.98, "word": " هذه", "probability": 0.7099609375}, {"start": 2294.98, "end": 2295.78, "word": " المسافة", "probability": 0.985595703125}, {"start": 2295.78, "end": 2296.5, "word": " كلها", "probability": 0.9951171875}, {"start": 2296.5, "end": 2296.88, "word": " من", "probability": 0.96533203125}, {"start": 2296.88, "end": 2297.52, "word": " هنا", "probability": 0.994140625}, {"start": 2297.52, "end": 2298.98, "word": " لهنا", "probability": 0.7003580729166666}, {"start": 2298.98, "end": 2299.3, "word": " كده", "probability": 0.7366536458333334}, {"start": 2299.3, "end": 2300.06, "word": " شباب؟", "probability": 0.6817626953125}, {"start": 2300.06, "end": 2300.96, "word": " تلاتة", "probability": 0.959228515625}, {"start": 2300.96, "end": 2301.72, "word": " هذه", "probability": 0.60693359375}, {"start": 2301.72, "end": 2302.32, "word": " بتروح", "probability": 0.9324544270833334}, {"start": 2302.32, "end": 2302.76, "word": " منها", "probability": 0.6890869140625}, {"start": 2302.76, "end": 2303.06, "word": " من", "probability": 0.78515625}, {"start": 2303.06, "end": 2303.44, "word": " هنا", "probability": 0.98779296875}, {"start": 2303.44, "end": 2304.0, "word": " لهنا", "probability": 0.8509114583333334}, {"start": 2304.0, "end": 2304.78, "word": " اتنين", "probability": 0.9390869140625}, {"start": 2304.78, "end": 2305.56, "word": " بتبقى", "probability": 0.760009765625}, {"start": 2305.56, "end": 2306.12, "word": " المسافة", "probability": 0.956298828125}, {"start": 2306.12, "end": 2306.34, "word": " هذه", "probability": 0.489501953125}, {"start": 2306.34, "end": 2307.0, "word": " كده؟", "probability": 0.9364013671875}, {"start": 2307.0, "end": 2308.0, "word": " واحد", "probability": 0.974609375}, {"start": 2308.0, "end": 2308.5, "word": " يبقى", "probability": 0.9169921875}, {"start": 2308.5, "end": 2309.28, "word": " اصبحت", "probability": 0.8135986328125}, {"start": 2309.28, "end": 2309.82, "word": " P", "probability": 0.953125}, {"start": 2309.82, "end": 2310.92, "word": " تساوي", "probability": 0.892822265625}, {"start": 2310.92, "end": 2311.46, "word": " واحد", "probability": 0.991943359375}, {"start": 2311.46, "end": 2312.46, "word": " يبقى", "probability": 0.9737548828125}, {"start": 2312.46, "end": 2312.84, "word": " باجي", "probability": 0.6273193359375}, {"start": 2312.84, "end": 2313.54, "word": " بقوله", "probability": 0.8709309895833334}, {"start": 2313.54, "end": 2313.98, "word": " P", "probability": 0.95458984375}, {"start": 2313.98, "end": 2314.82, "word": " تساوي", "probability": 0.9796142578125}, {"start": 2314.82, "end": 2315.58, "word": " تلاتة", "probability": 0.951171875}, {"start": 2315.58, "end": 2316.18, "word": " ناقص", "probability": 0.9451904296875}, {"start": 2316.18, "end": 2316.74, "word": " اتنين", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 103, "seek": 233430, "start": 2317.04, "end": 2334.3, "text": "يساوي واحد يبقى ال equation هذه بيصير y زائد خمسة لكل تربية يساوي اربعة x ناقص ثلاثة هذا الشكل المعادلة المطلوبة اللي هو المطلوب الأول", "tokens": [1829, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 2423, 5367, 29538, 4724, 1829, 9381, 13546, 288, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 5296, 28820, 6055, 25513, 10632, 7251, 3794, 995, 45865, 1975, 25513, 27884, 2031, 8717, 995, 4587, 9381, 38637, 1211, 5718, 104, 3660, 23758, 25124, 28820, 9673, 3615, 18513, 37977, 9673, 9566, 1211, 37746, 3660, 13672, 1829, 31439, 9673, 9566, 1211, 37746, 16247, 12610], "avg_logprob": -0.1510416675305021, "compression_ratio": 1.5096774193548388, "no_speech_prob": 0.0, "words": [{"start": 2317.04, "end": 2317.86, "word": "يساوي", "probability": 0.817626953125}, {"start": 2317.86, "end": 2318.44, "word": " واحد", "probability": 0.771728515625}, {"start": 2318.44, "end": 2319.18, "word": " يبقى", "probability": 0.92431640625}, {"start": 2319.18, "end": 2319.28, "word": " ال", "probability": 0.9599609375}, {"start": 2319.28, "end": 2319.84, "word": " equation", "probability": 0.98779296875}, {"start": 2319.84, "end": 2320.56, "word": " هذه", "probability": 0.58251953125}, {"start": 2320.56, "end": 2321.76, "word": " بيصير", "probability": 0.7392578125}, {"start": 2321.76, "end": 2322.4, "word": " y", "probability": 0.462158203125}, {"start": 2322.4, "end": 2323.06, "word": " زائد", "probability": 0.859375}, {"start": 2323.06, "end": 2323.68, "word": " خمسة", "probability": 0.948974609375}, {"start": 2323.68, "end": 2324.14, "word": " لكل", "probability": 0.975830078125}, {"start": 2324.14, "end": 2324.96, "word": " تربية", "probability": 0.8081868489583334}, {"start": 2324.96, "end": 2326.02, "word": " يساوي", "probability": 0.974609375}, {"start": 2326.02, "end": 2326.78, "word": " اربعة", "probability": 0.7708333333333334}, {"start": 2326.78, "end": 2327.22, "word": " x", "probability": 0.6787109375}, {"start": 2327.22, "end": 2328.28, "word": " ناقص", "probability": 0.9052734375}, {"start": 2328.28, "end": 2329.1, "word": " ثلاثة", "probability": 0.9353515625}, {"start": 2329.1, "end": 2329.62, "word": " هذا", "probability": 0.5205078125}, {"start": 2329.62, "end": 2330.3, "word": " الشكل", "probability": 0.8564453125}, {"start": 2330.3, "end": 2331.2, "word": " المعادلة", "probability": 0.952392578125}, {"start": 2331.2, "end": 2332.48, "word": " المطلوبة", "probability": 0.970703125}, {"start": 2332.48, "end": 2333.02, "word": " اللي", "probability": 0.845458984375}, {"start": 2333.02, "end": 2333.12, "word": " هو", "probability": 0.99072265625}, {"start": 2333.12, "end": 2333.74, "word": " المطلوب", "probability": 0.981689453125}, {"start": 2333.74, "end": 2334.3, "word": " الأول", "probability": 0.886474609375}], "temperature": 1.0}, {"id": 104, "seek": 234942, "start": 2335.13, "end": 2349.43, "text": "جاليات للبقرة، بقول للبقرة بسيطة، يبقى بدنا نتحرك جهة اليمين بمقدار كده؟ مقدار واحد، يبقى هذه بدنا نشيلها من هناك", "tokens": [7435, 6027, 1829, 9307, 24976, 3555, 4587, 25720, 12399, 4724, 39648, 24976, 3555, 4587, 25720, 4724, 3794, 1829, 9566, 3660, 12399, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 2655, 5016, 31747, 10874, 3224, 3660, 2423, 32640, 9957, 4724, 2304, 28543, 9640, 9122, 3215, 3224, 22807, 3714, 28543, 9640, 36764, 24401, 12399, 7251, 3555, 4587, 7578, 29538, 47525, 8315, 8717, 8592, 26895, 11296, 9154, 34105, 4117], "avg_logprob": -0.15317234577554645, "compression_ratio": 1.7107438016528926, "no_speech_prob": 0.0, "words": [{"start": 2335.13, "end": 2336.03, "word": "جاليات", "probability": 0.66278076171875}, {"start": 2336.03, "end": 2337.23, "word": " للبقرة،", "probability": 0.810986328125}, {"start": 2337.23, "end": 2337.65, "word": " بقول", "probability": 0.91748046875}, {"start": 2337.65, "end": 2338.27, "word": " للبقرة", "probability": 0.83575439453125}, {"start": 2338.27, "end": 2339.43, "word": " بسيطة،", "probability": 0.8828125}, {"start": 2339.43, "end": 2339.87, "word": " يبقى", "probability": 0.9619140625}, {"start": 2339.87, "end": 2340.17, "word": " بدنا", "probability": 0.927978515625}, {"start": 2340.17, "end": 2341.07, "word": " نتحرك", "probability": 0.9959716796875}, {"start": 2341.07, "end": 2341.61, "word": " جهة", "probability": 0.9856770833333334}, {"start": 2341.61, "end": 2342.45, "word": " اليمين", "probability": 0.799072265625}, {"start": 2342.45, "end": 2343.41, "word": " بمقدار", "probability": 0.8778076171875}, {"start": 2343.41, "end": 2344.19, "word": " كده؟", "probability": 0.7589111328125}, {"start": 2344.19, "end": 2345.27, "word": " مقدار", "probability": 0.8824869791666666}, {"start": 2345.27, "end": 2346.35, "word": " واحد،", "probability": 0.8935546875}, {"start": 2346.35, "end": 2346.93, "word": " يبقى", "probability": 0.9906005859375}, {"start": 2346.93, "end": 2347.29, "word": " هذه", "probability": 0.69189453125}, {"start": 2347.29, "end": 2347.69, "word": " بدنا", "probability": 0.9716796875}, {"start": 2347.69, "end": 2348.27, "word": " نشيلها", "probability": 0.986328125}, {"start": 2348.27, "end": 2348.47, "word": " من", "probability": 0.98681640625}, {"start": 2348.47, "end": 2349.43, "word": " هناك", "probability": 0.828125}], "temperature": 1.0}, {"id": 105, "seek": 236590, "start": 2351.36, "end": 2365.9, "text": "اللي قلنا هي هذه النقطة اللي هي تلاتة وسالب خمسة البورة بدها تيجي هنا في الداخل يبقى المسافة هذه كمان قداش", "tokens": [6027, 20292, 12174, 1211, 8315, 39896, 29538, 28239, 47432, 3660, 13672, 1829, 39896, 6055, 1211, 9307, 3660, 46952, 6027, 3555, 16490, 2304, 3794, 3660, 29739, 13063, 3660, 47525, 11296, 6055, 1829, 7435, 1829, 34105, 8978, 32748, 47283, 1211, 7251, 3555, 4587, 7578, 9673, 3794, 31845, 3660, 29538, 9122, 2304, 7649, 12174, 3215, 33599], "avg_logprob": -0.25491896768411, "compression_ratio": 1.6134453781512605, "no_speech_prob": 0.0, "words": [{"start": 2351.36, "end": 2351.74, "word": "اللي", "probability": 0.29412841796875}, {"start": 2351.74, "end": 2352.38, "word": " قلنا", "probability": 0.7740885416666666}, {"start": 2352.38, "end": 2352.86, "word": " هي", "probability": 0.61669921875}, {"start": 2352.86, "end": 2353.84, "word": " هذه", "probability": 0.6259765625}, {"start": 2353.84, "end": 2354.56, "word": " النقطة", "probability": 0.96435546875}, {"start": 2354.56, "end": 2354.84, "word": " اللي", "probability": 0.6024169921875}, {"start": 2354.84, "end": 2355.96, "word": " هي", "probability": 0.83935546875}, {"start": 2355.96, "end": 2357.12, "word": " تلاتة", "probability": 0.816650390625}, {"start": 2357.12, "end": 2358.58, "word": " وسالب", "probability": 0.7620442708333334}, {"start": 2358.58, "end": 2359.26, "word": " خمسة", "probability": 0.9864501953125}, {"start": 2359.26, "end": 2360.52, "word": " البورة", "probability": 0.595703125}, {"start": 2360.52, "end": 2360.82, "word": " بدها", "probability": 0.5274658203125}, {"start": 2360.82, "end": 2361.22, "word": " تيجي", "probability": 0.9752197265625}, {"start": 2361.22, "end": 2361.6, "word": " هنا", "probability": 0.98681640625}, {"start": 2361.6, "end": 2362.12, "word": " في", "probability": 0.47119140625}, {"start": 2362.12, "end": 2362.92, "word": " الداخل", "probability": 0.9905598958333334}, {"start": 2362.92, "end": 2363.7, "word": " يبقى", "probability": 0.8946533203125}, {"start": 2363.7, "end": 2364.42, "word": " المسافة", "probability": 0.98046875}, {"start": 2364.42, "end": 2364.7, "word": " هذه", "probability": 0.53564453125}, {"start": 2364.7, "end": 2365.16, "word": " كمان", "probability": 0.97705078125}, {"start": 2365.16, "end": 2365.9, "word": " قداش", "probability": 0.86865234375}], "temperature": 1.0}, {"id": 106, "seek": 238130, "start": 2370.68, "end": 2381.3, "text": "أربعة يبقى بده يصير أربعة و سالب خمسة كما هي شكل انها. فبروح بقوله they focus", "tokens": [10721, 25513, 27884, 7251, 3555, 4587, 7578, 47525, 3224, 7251, 9381, 13546, 5551, 25513, 27884, 4032, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 9122, 15042, 39896, 13412, 28820, 16472, 11296, 13, 6156, 26890, 2407, 5016, 4724, 39648, 3224, 436, 1879], "avg_logprob": -0.3203125116301746, "compression_ratio": 1.1727272727272726, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2370.6800000000003, "end": 2371.88, "word": "أربعة", "probability": 0.6669108072916666}, {"start": 2371.88, "end": 2372.7, "word": " يبقى", "probability": 0.78009033203125}, {"start": 2372.7, "end": 2373.12, "word": " بده", "probability": 0.528564453125}, {"start": 2373.12, "end": 2373.5, "word": " يصير", "probability": 0.9441731770833334}, {"start": 2373.5, "end": 2374.1, "word": " أربعة", "probability": 0.8388671875}, {"start": 2374.1, "end": 2374.3, "word": " و", "probability": 0.469970703125}, {"start": 2374.3, "end": 2374.82, "word": " سالب", "probability": 0.8777669270833334}, {"start": 2374.82, "end": 2375.82, "word": " خمسة", "probability": 0.9796142578125}, {"start": 2375.82, "end": 2376.56, "word": " كما", "probability": 0.9580078125}, {"start": 2376.56, "end": 2377.26, "word": " هي", "probability": 0.86328125}, {"start": 2377.26, "end": 2378.14, "word": " شكل", "probability": 0.719482421875}, {"start": 2378.14, "end": 2378.58, "word": " انها.", "probability": 0.475341796875}, {"start": 2378.86, "end": 2379.48, "word": " فبروح", "probability": 0.89990234375}, {"start": 2379.48, "end": 2380.04, "word": " بقوله", "probability": 0.8733723958333334}, {"start": 2380.04, "end": 2380.24, "word": " they", "probability": 0.365234375}, {"start": 2380.24, "end": 2381.3, "word": " focus", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 107, "seek": 240432, "start": 2384.54, "end": 2404.32, "text": "is أربعة و سالب خمسة بعد ال focus قال هاتلي كمان main ال axis واضح ال axis ان هو يساوي سالب خمسة بعدين بقوله ان ال axis هو Y تساوي سالب خمسة", "tokens": [271, 5551, 25513, 27884, 4032, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 39182, 2423, 1879, 50239, 8032, 9307, 20292, 9122, 2304, 7649, 2135, 2423, 10298, 4032, 46958, 5016, 2423, 10298, 16472, 31439, 7251, 3794, 995, 45865, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 39182, 9957, 4724, 39648, 3224, 16472, 2423, 10298, 31439, 398, 6055, 3794, 995, 45865, 8608, 6027, 3555, 16490, 2304, 3794, 3660], "avg_logprob": -0.2899038461538462, "compression_ratio": 1.7045454545454546, "no_speech_prob": 1.0728836059570312e-05, "words": [{"start": 2384.54, "end": 2385.16, "word": "is", "probability": 0.060455322265625}, {"start": 2385.16, "end": 2386.66, "word": " أربعة", "probability": 0.7835286458333334}, {"start": 2386.66, "end": 2387.1, "word": " و", "probability": 0.53173828125}, {"start": 2387.1, "end": 2387.64, "word": " سالب", "probability": 0.8528645833333334}, {"start": 2387.64, "end": 2388.28, "word": " خمسة", "probability": 0.989013671875}, {"start": 2388.28, "end": 2389.08, "word": " بعد", "probability": 0.386474609375}, {"start": 2389.08, "end": 2389.3, "word": " ال", "probability": 0.62353515625}, {"start": 2389.3, "end": 2389.8, "word": " focus", "probability": 0.7470703125}, {"start": 2389.8, "end": 2390.12, "word": " قال", "probability": 0.759765625}, {"start": 2390.12, "end": 2390.56, "word": " هاتلي", "probability": 0.6946614583333334}, {"start": 2390.56, "end": 2390.94, "word": " كمان", "probability": 0.795166015625}, {"start": 2390.94, "end": 2391.28, "word": " main", "probability": 0.2222900390625}, {"start": 2391.28, "end": 2391.54, "word": " ال", "probability": 0.81005859375}, {"start": 2391.54, "end": 2392.06, "word": " axis", "probability": 0.7783203125}, {"start": 2392.06, "end": 2393.14, "word": " واضح", "probability": 0.9733072916666666}, {"start": 2393.14, "end": 2393.34, "word": " ال", "probability": 0.9658203125}, {"start": 2393.34, "end": 2393.72, "word": " axis", "probability": 0.94287109375}, {"start": 2393.72, "end": 2394.06, "word": " ان", "probability": 0.466064453125}, {"start": 2394.06, "end": 2394.3, "word": " هو", "probability": 0.388671875}, {"start": 2394.3, "end": 2395.1, "word": " يساوي", "probability": 0.944091796875}, {"start": 2395.1, "end": 2395.96, "word": " سالب", "probability": 0.94775390625}, {"start": 2395.96, "end": 2396.62, "word": " خمسة", "probability": 0.9901123046875}, {"start": 2396.62, "end": 2397.34, "word": " بعدين", "probability": 0.6962890625}, {"start": 2397.34, "end": 2397.84, "word": " بقوله", "probability": 0.74169921875}, {"start": 2397.84, "end": 2398.1, "word": " ان", "probability": 0.427490234375}, {"start": 2398.1, "end": 2398.38, "word": " ال", "probability": 0.74951171875}, {"start": 2398.38, "end": 2399.08, "word": " axis", "probability": 0.923828125}, {"start": 2399.08, "end": 2400.56, "word": " هو", "probability": 0.391845703125}, {"start": 2400.56, "end": 2401.5, "word": " Y", "probability": 0.482177734375}, {"start": 2401.5, "end": 2402.4, "word": " تساوي", "probability": 0.84515380859375}, {"start": 2402.4, "end": 2403.5, "word": " سالب", "probability": 0.9710286458333334}, {"start": 2403.5, "end": 2404.32, "word": " خمسة", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 108, "seek": 244423, "start": 2418.6, "end": 2444.24, "text": "بنجي الآن لنمره اتنين اللي هو ال ellipse القطع الناقص يبقى ال ellipse المعادلة تبعته X تربية علي A تربية زي Y تربية علي B تربية يساوي 1 بدنا نعرف وين ال A وين ال B هذا وين شكله", "tokens": [3555, 1863, 7435, 1829, 6024, 48506, 5296, 1863, 29973, 3224, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 2423, 8284, 48041, 25062, 9566, 3615, 2423, 8315, 4587, 9381, 7251, 3555, 4587, 7578, 2423, 8284, 48041, 9673, 3615, 18513, 37977, 6055, 3555, 34268, 3224, 1783, 6055, 25513, 10632, 25894, 316, 6055, 25513, 10632, 30767, 1829, 398, 6055, 25513, 10632, 25894, 363, 6055, 25513, 10632, 7251, 3794, 995, 45865, 502, 47525, 8315, 8717, 3615, 28480, 4032, 9957, 2423, 316, 4032, 9957, 2423, 363, 23758, 4032, 9957, 13412, 28820, 3224], "avg_logprob": -0.2769396620235224, "compression_ratio": 1.723529411764706, "no_speech_prob": 0.0, "words": [{"start": 2418.6, "end": 2419.64, "word": "بنجي", "probability": 0.331756591796875}, {"start": 2419.64, "end": 2419.9, "word": " الآن", "probability": 0.609375}, {"start": 2419.9, "end": 2420.6, "word": " لنمره", "probability": 0.636932373046875}, {"start": 2420.6, "end": 2421.28, "word": " اتنين", "probability": 0.8629150390625}, {"start": 2421.28, "end": 2422.12, "word": " اللي", "probability": 0.851806640625}, {"start": 2422.12, "end": 2422.44, "word": " هو", "probability": 0.9609375}, {"start": 2422.44, "end": 2422.72, "word": " ال", "probability": 0.91064453125}, {"start": 2422.72, "end": 2423.3, "word": " ellipse", "probability": 0.718994140625}, {"start": 2423.3, "end": 2426.86, "word": " القطع", "probability": 0.76611328125}, {"start": 2426.86, "end": 2427.68, "word": " الناقص", "probability": 0.8155517578125}, {"start": 2427.68, "end": 2430.8, "word": " يبقى", "probability": 0.8798828125}, {"start": 2430.8, "end": 2430.92, "word": " ال", "probability": 0.88720703125}, {"start": 2430.92, "end": 2431.26, "word": " ellipse", "probability": 0.947998046875}, {"start": 2431.26, "end": 2432.02, "word": " المعادلة", "probability": 0.9627685546875}, {"start": 2432.02, "end": 2432.84, "word": " تبعته", "probability": 0.885986328125}, {"start": 2432.84, "end": 2433.28, "word": " X", "probability": 0.4326171875}, {"start": 2433.28, "end": 2433.94, "word": " تربية", "probability": 0.8642578125}, {"start": 2433.94, "end": 2434.56, "word": " علي", "probability": 0.48828125}, {"start": 2434.56, "end": 2434.84, "word": " A", "probability": 0.5185546875}, {"start": 2434.84, "end": 2435.46, "word": " تربية", "probability": 0.9803059895833334}, {"start": 2435.46, "end": 2436.36, "word": " زي", "probability": 0.678466796875}, {"start": 2436.36, "end": 2436.68, "word": " Y", "probability": 0.6806640625}, {"start": 2436.68, "end": 2437.42, "word": " تربية", "probability": 0.9775390625}, {"start": 2437.42, "end": 2437.98, "word": " علي", "probability": 0.869140625}, {"start": 2437.98, "end": 2438.24, "word": " B", "probability": 0.853515625}, {"start": 2438.24, "end": 2438.74, "word": " تربية", "probability": 0.9820963541666666}, {"start": 2438.74, "end": 2439.38, "word": " يساوي", "probability": 0.9390869140625}, {"start": 2439.38, "end": 2439.74, "word": " 1", "probability": 0.4921875}, {"start": 2439.74, "end": 2440.84, "word": " بدنا", "probability": 0.6109619140625}, {"start": 2440.84, "end": 2441.22, "word": " نعرف", "probability": 0.9952799479166666}, {"start": 2441.22, "end": 2441.56, "word": " وين", "probability": 0.77099609375}, {"start": 2441.56, "end": 2441.76, "word": " ال", "probability": 0.95947265625}, {"start": 2441.76, "end": 2442.04, "word": " A", "probability": 0.828125}, {"start": 2442.04, "end": 2442.56, "word": " وين", "probability": 0.742919921875}, {"start": 2442.56, "end": 2442.74, "word": " ال", "probability": 0.9833984375}, {"start": 2442.74, "end": 2442.96, "word": " B", "probability": 0.974609375}, {"start": 2442.96, "end": 2443.34, "word": " هذا", "probability": 0.386962890625}, {"start": 2443.34, "end": 2443.62, "word": " وين", "probability": 0.783935546875}, {"start": 2443.62, "end": 2444.24, "word": " شكله", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 109, "seek": 247242, "start": 2444.81, "end": 2472.43, "text": "بنقول له اه هي المحاور بالشكل اللي عندنا هذا هذا محور X هذا Y هذه نقطة الاصلي هو Zero يبقى ال الورس بالشكل اللي عندنا هذا هيك كويس؟ المسافة من نقطة الأصل إلى ال vertex هذه بدي أسميها A يبقى أحداثيات النقطة هذه A و Zero", "tokens": [3555, 1863, 39648, 46740, 1975, 3224, 39896, 9673, 5016, 995, 13063, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 23758, 3714, 5016, 13063, 1783, 23758, 398, 29538, 8717, 47432, 3660, 2423, 33546, 20292, 31439, 17182, 7251, 3555, 4587, 7578, 2423, 2423, 13063, 3794, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 39896, 4117, 9122, 45865, 3794, 22807, 9673, 3794, 31845, 3660, 9154, 8717, 47432, 3660, 16247, 36520, 30731, 2423, 28162, 29538, 4724, 16254, 5551, 38251, 1829, 11296, 316, 7251, 3555, 4587, 7578, 5551, 24401, 5718, 104, 1829, 9307, 28239, 47432, 3660, 29538, 316, 4032, 17182], "avg_logprob": -0.2239583401630322, "compression_ratio": 1.903061224489796, "no_speech_prob": 0.0, "words": [{"start": 2444.81, "end": 2445.37, "word": "بنقول", "probability": 0.6625162760416666}, {"start": 2445.37, "end": 2445.59, "word": " له", "probability": 0.80322265625}, {"start": 2445.59, "end": 2445.89, "word": " اه", "probability": 0.57257080078125}, {"start": 2445.89, "end": 2446.13, "word": " هي", "probability": 0.341552734375}, {"start": 2446.13, "end": 2447.01, "word": " المحاور", "probability": 0.9659423828125}, {"start": 2447.01, "end": 2448.05, "word": " بالشكل", "probability": 0.9309895833333334}, {"start": 2448.05, "end": 2448.29, "word": " اللي", "probability": 0.8994140625}, {"start": 2448.29, "end": 2448.37, "word": " عندنا", "probability": 0.925048828125}, {"start": 2448.37, "end": 2448.71, "word": " هذا", "probability": 0.69775390625}, {"start": 2448.71, "end": 2449.05, "word": " هذا", "probability": 0.2958984375}, {"start": 2449.05, "end": 2449.59, "word": " محور", "probability": 0.9664713541666666}, {"start": 2449.59, "end": 2450.09, "word": " X", "probability": 0.7880859375}, {"start": 2450.09, "end": 2451.01, "word": " هذا", "probability": 0.6806640625}, {"start": 2451.01, "end": 2451.53, "word": " Y", "probability": 0.943359375}, {"start": 2451.53, "end": 2452.33, "word": " هذه", "probability": 0.66552734375}, {"start": 2452.33, "end": 2452.83, "word": " نقطة", "probability": 0.974609375}, {"start": 2452.83, "end": 2453.45, "word": " الاصلي", "probability": 0.57080078125}, {"start": 2453.45, "end": 2453.95, "word": " هو", "probability": 0.75537109375}, {"start": 2453.95, "end": 2454.53, "word": " Zero", "probability": 0.69384765625}, {"start": 2454.53, "end": 2455.97, "word": " يبقى", "probability": 0.971923828125}, {"start": 2455.97, "end": 2456.11, "word": " ال", "probability": 0.9814453125}, {"start": 2456.11, "end": 2456.67, "word": " الورس", "probability": 0.5089518229166666}, {"start": 2456.67, "end": 2457.89, "word": " بالشكل", "probability": 0.9700520833333334}, {"start": 2457.89, "end": 2458.09, "word": " اللي", "probability": 0.99072265625}, {"start": 2458.09, "end": 2458.59, "word": " عندنا", "probability": 0.9892578125}, {"start": 2458.59, "end": 2458.97, "word": " هذا", "probability": 0.87109375}, {"start": 2458.97, "end": 2459.63, "word": " هيك", "probability": 0.6729736328125}, {"start": 2459.63, "end": 2461.85, "word": " كويس؟", "probability": 0.7181396484375}, {"start": 2461.85, "end": 2463.29, "word": " المسافة", "probability": 0.976318359375}, {"start": 2463.29, "end": 2463.49, "word": " من", "probability": 0.99560546875}, {"start": 2463.49, "end": 2464.17, "word": " نقطة", "probability": 0.98193359375}, {"start": 2464.17, "end": 2464.95, "word": " الأصل", "probability": 0.732177734375}, {"start": 2464.95, "end": 2465.79, "word": " إلى", "probability": 0.81689453125}, {"start": 2465.79, "end": 2466.07, "word": " ال", "probability": 0.98681640625}, {"start": 2466.07, "end": 2466.71, "word": " vertex", "probability": 0.58251953125}, {"start": 2466.71, "end": 2467.09, "word": " هذه", "probability": 0.64990234375}, {"start": 2467.09, "end": 2467.39, "word": " بدي", "probability": 0.694091796875}, {"start": 2467.39, "end": 2468.11, "word": " أسميها", "probability": 0.85931396484375}, {"start": 2468.11, "end": 2468.61, "word": " A", "probability": 0.8984375}, {"start": 2468.61, "end": 2469.57, "word": " يبقى", "probability": 0.9754638671875}, {"start": 2469.57, "end": 2470.53, "word": " أحداثيات", "probability": 0.8890787760416666}, {"start": 2470.53, "end": 2471.11, "word": " النقطة", "probability": 0.9736328125}, {"start": 2471.11, "end": 2471.43, "word": " هذه", "probability": 0.7763671875}, {"start": 2471.43, "end": 2471.77, "word": " A", "probability": 0.9228515625}, {"start": 2471.77, "end": 2471.99, "word": " و", "probability": 0.94580078125}, {"start": 2471.99, "end": 2472.43, "word": " Zero", "probability": 0.833984375}], "temperature": 1.0}, {"id": 110, "seek": 248510, "start": 2473.2, "end": 2485.1, "text": "إحداثيات النقطة هذه سالب a و zero إذا هنا بحط كبار فاصلة ال a أكبر من b", "tokens": [28814, 24401, 5718, 104, 1829, 9307, 28239, 47432, 3660, 29538, 8608, 6027, 3555, 257, 4032, 4018, 11933, 15730, 34105, 4724, 5016, 9566, 9122, 3555, 9640, 6156, 33546, 37977, 2423, 257, 5551, 4117, 26890, 9154, 272], "avg_logprob": -0.2858072850439284, "compression_ratio": 1.1782178217821782, "no_speech_prob": 0.0, "words": [{"start": 2473.2, "end": 2474.38, "word": "إحداثيات", "probability": 0.8152669270833334}, {"start": 2474.38, "end": 2475.12, "word": " النقطة", "probability": 0.8738606770833334}, {"start": 2475.12, "end": 2475.52, "word": " هذه", "probability": 0.87255859375}, {"start": 2475.52, "end": 2476.6, "word": " سالب", "probability": 0.6464436848958334}, {"start": 2476.6, "end": 2477.32, "word": " a", "probability": 0.5009765625}, {"start": 2477.32, "end": 2477.7, "word": " و", "probability": 0.72900390625}, {"start": 2477.7, "end": 2478.16, "word": " zero", "probability": 0.339599609375}, {"start": 2478.16, "end": 2479.38, "word": " إذا", "probability": 0.7001953125}, {"start": 2479.38, "end": 2480.06, "word": " هنا", "probability": 0.9248046875}, {"start": 2480.06, "end": 2481.18, "word": " بحط", "probability": 0.8759765625}, {"start": 2481.18, "end": 2481.68, "word": " كبار", "probability": 0.6387532552083334}, {"start": 2481.68, "end": 2482.6, "word": " فاصلة", "probability": 0.9734700520833334}, {"start": 2482.6, "end": 2483.02, "word": " ال", "probability": 0.43896484375}, {"start": 2483.02, "end": 2483.6, "word": " a", "probability": 0.83984375}, {"start": 2483.6, "end": 2484.46, "word": " أكبر", "probability": 0.9471028645833334}, {"start": 2484.46, "end": 2484.76, "word": " من", "probability": 0.96728515625}, {"start": 2484.76, "end": 2485.1, "word": " b", "probability": 0.8388671875}], "temperature": 1.0}, {"id": 111, "seek": 251441, "start": 2486.11, "end": 2514.41, "text": "يعني المقام اللي هنا أكبر من المقام اللي هنا طب لو حصل غير هيك إلا كلام تاني سنعرفه بعد قليل زي ما أنت شايف فيه محور كبير وفيه محور صغير يبقى المحور الكبير بسميه ال major axis يبقى هذا هذا بسميه ال major axis المحور الرئيسي", "tokens": [40228, 22653, 9673, 4587, 10943, 13672, 1829, 34105, 5551, 4117, 26890, 9154, 9673, 4587, 10943, 13672, 1829, 34105, 23032, 3555, 45164, 11331, 36520, 32771, 13546, 39896, 4117, 11933, 15040, 28242, 10943, 6055, 7649, 1829, 8608, 1863, 3615, 28480, 3224, 39182, 12174, 20292, 1211, 30767, 1829, 19446, 14739, 2655, 13412, 995, 33911, 8978, 3224, 3714, 5016, 13063, 9122, 3555, 13546, 4032, 41185, 3224, 3714, 5016, 13063, 20328, 17082, 13546, 7251, 3555, 4587, 7578, 9673, 5016, 13063, 33251, 3555, 13546, 4724, 38251, 1829, 3224, 2423, 2563, 10298, 7251, 3555, 4587, 7578, 23758, 23758, 4724, 38251, 1829, 3224, 2423, 2563, 10298, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829], "avg_logprob": -0.15216121606737654, "compression_ratio": 2.0157894736842104, "no_speech_prob": 0.0, "words": [{"start": 2486.11, "end": 2486.59, "word": "يعني", "probability": 0.6630859375}, {"start": 2486.59, "end": 2487.25, "word": " المقام", "probability": 0.96875}, {"start": 2487.25, "end": 2487.47, "word": " اللي", "probability": 0.843994140625}, {"start": 2487.47, "end": 2487.77, "word": " هنا", "probability": 0.98291015625}, {"start": 2487.77, "end": 2488.47, "word": " أكبر", "probability": 0.90966796875}, {"start": 2488.47, "end": 2488.73, "word": " من", "probability": 0.98388671875}, {"start": 2488.73, "end": 2489.65, "word": " المقام", "probability": 0.9876302083333334}, {"start": 2489.65, "end": 2490.21, "word": " اللي", "probability": 0.9921875}, {"start": 2490.21, "end": 2490.55, "word": " هنا", "probability": 0.9833984375}, {"start": 2490.55, "end": 2491.37, "word": " طب", "probability": 0.73291015625}, {"start": 2491.37, "end": 2491.61, "word": " لو", "probability": 0.95556640625}, {"start": 2491.61, "end": 2492.01, "word": " حصل", "probability": 0.982421875}, {"start": 2492.01, "end": 2492.29, "word": " غير", "probability": 0.968994140625}, {"start": 2492.29, "end": 2492.73, "word": " هيك", "probability": 0.75}, {"start": 2492.73, "end": 2492.97, "word": " إلا", "probability": 0.4569091796875}, {"start": 2492.97, "end": 2493.47, "word": " كلام", "probability": 0.764892578125}, {"start": 2493.47, "end": 2493.81, "word": " تاني", "probability": 0.9148763020833334}, {"start": 2493.81, "end": 2494.59, "word": " سنعرفه", "probability": 0.98623046875}, {"start": 2494.59, "end": 2495.01, "word": " بعد", "probability": 0.923828125}, {"start": 2495.01, "end": 2495.73, "word": " قليل", "probability": 0.97607421875}, {"start": 2495.73, "end": 2496.65, "word": " زي", "probability": 0.922119140625}, {"start": 2496.65, "end": 2496.73, "word": " ما", "probability": 0.98193359375}, {"start": 2496.73, "end": 2496.93, "word": " أنت", "probability": 0.717529296875}, {"start": 2496.93, "end": 2497.29, "word": " شايف", "probability": 0.9656575520833334}, {"start": 2497.29, "end": 2497.49, "word": " فيه", "probability": 0.49774169921875}, {"start": 2497.49, "end": 2498.33, "word": " محور", "probability": 0.7464192708333334}, {"start": 2498.33, "end": 2498.87, "word": " كبير", "probability": 0.9879557291666666}, {"start": 2498.87, "end": 2499.23, "word": " وفيه", "probability": 0.7848307291666666}, {"start": 2499.23, "end": 2499.99, "word": " محور", "probability": 0.9724934895833334}, {"start": 2499.99, "end": 2501.15, "word": " صغير", "probability": 0.9920247395833334}, {"start": 2501.15, "end": 2501.81, "word": " يبقى", "probability": 0.9083251953125}, {"start": 2501.81, "end": 2502.25, "word": " المحور", "probability": 0.98193359375}, {"start": 2502.25, "end": 2502.65, "word": " الكبير", "probability": 0.9658203125}, {"start": 2502.65, "end": 2503.27, "word": " بسميه", "probability": 0.9605712890625}, {"start": 2503.27, "end": 2503.43, "word": " ال", "probability": 0.275146484375}, {"start": 2503.43, "end": 2503.79, "word": " major", "probability": 0.8974609375}, {"start": 2503.79, "end": 2504.81, "word": " axis", "probability": 0.982421875}, {"start": 2504.81, "end": 2506.03, "word": " يبقى", "probability": 0.9671630859375}, {"start": 2506.03, "end": 2506.43, "word": " هذا", "probability": 0.794921875}, {"start": 2506.43, "end": 2506.97, "word": " هذا", "probability": 0.2142333984375}, {"start": 2506.97, "end": 2508.91, "word": " بسميه", "probability": 0.97998046875}, {"start": 2508.91, "end": 2509.15, "word": " ال", "probability": 0.658203125}, {"start": 2509.15, "end": 2509.73, "word": " major", "probability": 0.95458984375}, {"start": 2509.73, "end": 2511.19, "word": " axis", "probability": 0.98876953125}, {"start": 2511.19, "end": 2512.83, "word": " المحور", "probability": 0.9710286458333334}, {"start": 2512.83, "end": 2514.41, "word": " الرئيسي", "probability": 0.992578125}], "temperature": 1.0}, {"id": 112, "seek": 253865, "start": 2515.47, "end": 2538.65, "text": "أو الـ polar axis المحور القطبي هذا الصغير بسميه الـ minor axis زي ما أخدنا إحداثيات النقطتين هدول بدنا نيجي لإحداث النقطة هذه Zero و B هذه النقطة Zero و سالب B", "tokens": [10721, 2407, 2423, 39184, 12367, 10298, 9673, 5016, 13063, 25062, 9566, 21292, 23758, 31767, 17082, 13546, 4724, 38251, 1829, 3224, 2423, 39184, 6696, 10298, 30767, 1829, 19446, 5551, 9778, 3215, 8315, 11933, 24401, 5718, 104, 1829, 9307, 28239, 47432, 2655, 9957, 8032, 3215, 12610, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 28814, 24401, 5718, 104, 28239, 47432, 3660, 29538, 17182, 4032, 363, 29538, 28239, 47432, 3660, 17182, 4032, 8608, 6027, 3555, 363], "avg_logprob": -0.26733731570309155, "compression_ratio": 1.5914634146341464, "no_speech_prob": 0.0, "words": [{"start": 2515.47, "end": 2515.99, "word": "أو", "probability": 0.72607421875}, {"start": 2515.99, "end": 2516.47, "word": " الـ", "probability": 0.546875}, {"start": 2516.47, "end": 2516.79, "word": " polar", "probability": 0.440185546875}, {"start": 2516.79, "end": 2517.61, "word": " axis", "probability": 0.958984375}, {"start": 2517.61, "end": 2518.43, "word": " المحور", "probability": 0.9148763020833334}, {"start": 2518.43, "end": 2519.13, "word": " القطبي", "probability": 0.9583333333333334}, {"start": 2519.13, "end": 2520.19, "word": " هذا", "probability": 0.68212890625}, {"start": 2520.19, "end": 2521.23, "word": " الصغير", "probability": 0.8466796875}, {"start": 2521.23, "end": 2522.91, "word": " بسميه", "probability": 0.8695068359375}, {"start": 2522.91, "end": 2523.37, "word": " الـ", "probability": 0.554443359375}, {"start": 2523.37, "end": 2524.07, "word": " minor", "probability": 0.78955078125}, {"start": 2524.07, "end": 2525.73, "word": " axis", "probability": 0.96630859375}, {"start": 2525.73, "end": 2527.85, "word": " زي", "probability": 0.78271484375}, {"start": 2527.85, "end": 2528.03, "word": " ما", "probability": 0.923828125}, {"start": 2528.03, "end": 2528.39, "word": " أخدنا", "probability": 0.7447509765625}, {"start": 2528.39, "end": 2529.11, "word": " إحداثيات", "probability": 0.8090413411458334}, {"start": 2529.11, "end": 2529.87, "word": " النقطتين", "probability": 0.9593505859375}, {"start": 2529.87, "end": 2530.35, "word": " هدول", "probability": 0.7738444010416666}, {"start": 2530.35, "end": 2530.79, "word": " بدنا", "probability": 0.826904296875}, {"start": 2530.79, "end": 2531.05, "word": " نيجي", "probability": 0.968505859375}, {"start": 2531.05, "end": 2531.67, "word": " لإحداث", "probability": 0.8994140625}, {"start": 2531.67, "end": 2532.29, "word": " النقطة", "probability": 0.9612630208333334}, {"start": 2532.29, "end": 2532.67, "word": " هذه", "probability": 0.63818359375}, {"start": 2532.67, "end": 2533.33, "word": " Zero", "probability": 0.1405029296875}, {"start": 2533.33, "end": 2533.85, "word": " و", "probability": 0.76171875}, {"start": 2533.85, "end": 2534.05, "word": " B", "probability": 0.485107421875}, {"start": 2534.05, "end": 2535.45, "word": " هذه", "probability": 0.70556640625}, {"start": 2535.45, "end": 2536.21, "word": " النقطة", "probability": 0.982421875}, {"start": 2536.21, "end": 2537.01, "word": " Zero", "probability": 0.2529296875}, {"start": 2537.01, "end": 2537.61, "word": " و", "probability": 0.252685546875}, {"start": 2537.61, "end": 2538.35, "word": " سالب", "probability": 0.7771809895833334}, {"start": 2538.35, "end": 2538.65, "word": " B", "probability": 0.81103515625}], "temperature": 1.0}, {"id": 113, "seek": 256005, "start": 2541.63, "end": 2560.05, "text": "يبقى المسافة من Zero إلى النقطة هذه اللي هي نصف المحور الرئيسي نصف المحور الثانو", "tokens": [1829, 3555, 4587, 7578, 9673, 3794, 31845, 3660, 9154, 17182, 30731, 28239, 47432, 3660, 29538, 13672, 1829, 39896, 8717, 9381, 5172, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 8717, 9381, 5172, 9673, 5016, 13063, 2423, 12984, 7649, 2407], "avg_logprob": -0.3335937537252903, "compression_ratio": 1.4947368421052631, "no_speech_prob": 0.0, "words": [{"start": 2541.63, "end": 2542.93, "word": "يبقى", "probability": 0.7269287109375}, {"start": 2542.93, "end": 2544.15, "word": " المسافة", "probability": 0.966796875}, {"start": 2544.15, "end": 2544.45, "word": " من", "probability": 0.955078125}, {"start": 2544.45, "end": 2544.73, "word": " Zero", "probability": 0.1962890625}, {"start": 2544.73, "end": 2546.43, "word": " إلى", "probability": 0.8212890625}, {"start": 2546.43, "end": 2547.15, "word": " النقطة", "probability": 0.7118733723958334}, {"start": 2547.15, "end": 2547.43, "word": " هذه", "probability": 0.5107421875}, {"start": 2547.43, "end": 2547.63, "word": " اللي", "probability": 0.7421875}, {"start": 2547.63, "end": 2547.97, "word": " هي", "probability": 0.83447265625}, {"start": 2547.97, "end": 2552.69, "word": " نصف", "probability": 0.6266276041666666}, {"start": 2552.69, "end": 2553.51, "word": " المحور", "probability": 0.9378255208333334}, {"start": 2553.51, "end": 2554.57, "word": " الرئيسي", "probability": 0.9763671875}, {"start": 2554.57, "end": 2558.59, "word": " نصف", "probability": 0.68603515625}, {"start": 2558.59, "end": 2559.25, "word": " المحور", "probability": 0.9327799479166666}, {"start": 2559.25, "end": 2560.05, "word": " الثانو", "probability": 0.7039794921875}], "temperature": 1.0}, {"id": 114, "seek": 258992, "start": 2560.64, "end": 2589.92, "text": "أيوة هذا يا شباب لو جاءت قصته من المصر بصير كأنه two parabolas و اتنين موجهين على بعض صحيح؟ يعني معناته في يعني كام بُقرة تين تين يبقى هذا بالفعل على ال parabola انه يلو بُقرتين و ليست بُقرة واحدة هذه البُقرة الأولى وهذه لو كانت البُقرة الثانية يبقى هذه بدي أسميها F1", "tokens": [10721, 1829, 2407, 3660, 23758, 35186, 13412, 3555, 16758, 45164, 10874, 16606, 2655, 12174, 9381, 47395, 9154, 9673, 9381, 2288, 4724, 9381, 13546, 9122, 33456, 3224, 732, 45729, 14104, 4032, 1975, 2655, 1863, 9957, 3714, 29245, 3224, 9957, 15844, 45030, 11242, 20328, 5016, 1829, 5016, 22807, 37495, 22653, 20449, 8315, 47395, 8978, 37495, 22653, 9122, 10943, 4724, 10859, 4587, 25720, 6055, 9957, 6055, 9957, 7251, 3555, 4587, 7578, 23758, 20666, 5172, 30241, 15844, 2423, 45729, 4711, 16472, 3224, 7251, 1211, 2407, 4724, 10859, 4587, 43500, 9957, 4032, 32239, 14851, 4724, 10859, 4587, 25720, 36764, 24401, 3660, 29538, 29739, 10859, 4587, 25720, 16247, 12610, 7578, 37037, 24192, 45164, 25961, 2655, 29739, 10859, 4587, 25720, 6024, 104, 7649, 10632, 7251, 3555, 4587, 7578, 29538, 4724, 16254, 5551, 38251, 1829, 11296, 479, 16], "avg_logprob": -0.2652671819424811, "compression_ratio": 1.8253968253968254, "no_speech_prob": 0.0, "words": [{"start": 2560.64, "end": 2561.58, "word": "أيوة", "probability": 0.555694580078125}, {"start": 2561.58, "end": 2562.62, "word": " هذا", "probability": 0.21875}, {"start": 2562.62, "end": 2562.82, "word": " يا", "probability": 0.84375}, {"start": 2562.82, "end": 2563.18, "word": " شباب", "probability": 0.9664713541666666}, {"start": 2563.18, "end": 2563.46, "word": " لو", "probability": 0.7802734375}, {"start": 2563.46, "end": 2563.84, "word": " جاءت", "probability": 0.6183268229166666}, {"start": 2563.84, "end": 2564.56, "word": " قصته", "probability": 0.927734375}, {"start": 2564.56, "end": 2564.78, "word": " من", "probability": 0.984375}, {"start": 2564.78, "end": 2565.36, "word": " المصر", "probability": 0.7501627604166666}, {"start": 2565.36, "end": 2565.84, "word": " بصير", "probability": 0.6149088541666666}, {"start": 2565.84, "end": 2566.36, "word": " كأنه", "probability": 0.8924153645833334}, {"start": 2566.36, "end": 2566.66, "word": " two", "probability": 0.5576171875}, {"start": 2566.66, "end": 2567.56, "word": " parabolas", "probability": 0.9345703125}, {"start": 2567.56, "end": 2568.14, "word": " و", "probability": 0.8505859375}, {"start": 2568.14, "end": 2568.54, "word": " اتنين", "probability": 0.757080078125}, {"start": 2568.54, "end": 2569.1, "word": " موجهين", "probability": 0.953369140625}, {"start": 2569.1, "end": 2569.36, "word": " على", "probability": 0.71044921875}, {"start": 2569.36, "end": 2570.02, "word": " بعض", "probability": 0.996826171875}, {"start": 2570.02, "end": 2571.22, "word": " صحيح؟", "probability": 0.8298828125}, {"start": 2571.22, "end": 2571.54, "word": " يعني", "probability": 0.89990234375}, {"start": 2571.54, "end": 2571.96, "word": " معناته", "probability": 0.8382161458333334}, {"start": 2571.96, "end": 2572.1, "word": " في", "probability": 0.607421875}, {"start": 2572.1, "end": 2572.28, "word": " يعني", "probability": 0.57781982421875}, {"start": 2572.28, "end": 2572.62, "word": " كام", "probability": 0.69873046875}, {"start": 2572.62, "end": 2573.26, "word": " بُقرة", "probability": 0.7513427734375}, {"start": 2573.26, "end": 2574.12, "word": " تين", "probability": 0.5245361328125}, {"start": 2574.12, "end": 2574.58, "word": " تين", "probability": 0.924072265625}, {"start": 2574.58, "end": 2574.86, "word": " يبقى", "probability": 0.887451171875}, {"start": 2574.86, "end": 2575.08, "word": " هذا", "probability": 0.72412109375}, {"start": 2575.08, "end": 2575.5, "word": " بالفعل", "probability": 0.5252278645833334}, {"start": 2575.5, "end": 2575.68, "word": " على", "probability": 0.1248779296875}, {"start": 2575.68, "end": 2575.78, "word": " ال", "probability": 0.80859375}, {"start": 2575.78, "end": 2576.28, "word": " parabola", "probability": 0.8408203125}, {"start": 2576.28, "end": 2576.94, "word": " انه", "probability": 0.7320556640625}, {"start": 2576.94, "end": 2577.14, "word": " يلو", "probability": 0.508056640625}, {"start": 2577.14, "end": 2577.88, "word": " بُقرتين", "probability": 0.9595703125}, {"start": 2577.88, "end": 2578.08, "word": " و", "probability": 0.98828125}, {"start": 2578.08, "end": 2578.64, "word": " ليست", "probability": 0.75830078125}, {"start": 2578.64, "end": 2579.24, "word": " بُقرة", "probability": 0.98388671875}, {"start": 2579.24, "end": 2579.9, "word": " واحدة", "probability": 0.9931640625}, {"start": 2579.9, "end": 2581.0, "word": " هذه", "probability": 0.71044921875}, {"start": 2581.0, "end": 2581.9, "word": " البُقرة", "probability": 0.9539794921875}, {"start": 2581.9, "end": 2583.24, "word": " الأولى", "probability": 0.9851888020833334}, {"start": 2583.24, "end": 2584.12, "word": " وهذه", "probability": 0.7470703125}, {"start": 2584.12, "end": 2584.4, "word": " لو", "probability": 0.974609375}, {"start": 2584.4, "end": 2584.96, "word": " كانت", "probability": 0.99072265625}, {"start": 2584.96, "end": 2585.66, "word": " البُقرة", "probability": 0.9794921875}, {"start": 2585.66, "end": 2586.44, "word": " الثانية", "probability": 0.9681396484375}, {"start": 2586.44, "end": 2587.42, "word": " يبقى", "probability": 0.979736328125}, {"start": 2587.42, "end": 2587.72, "word": " هذه", "probability": 0.91943359375}, {"start": 2587.72, "end": 2588.12, "word": " بدي", "probability": 0.51171875}, {"start": 2588.12, "end": 2588.98, "word": " أسميها", "probability": 0.84991455078125}, {"start": 2588.98, "end": 2589.92, "word": " F1", "probability": 0.916015625}], "temperature": 1.0}, {"id": 115, "seek": 260598, "start": 2590.43, "end": 2605.99, "text": "المسافة هذه لو كانت C يبقى بيصير F1 اللي هي ناقص C و Zero البقرة الثانية هذي بده يسميها F2 اللي هو C و Zero", "tokens": [45340, 3794, 31845, 3660, 29538, 45164, 25961, 2655, 383, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 479, 16, 13672, 1829, 39896, 8717, 995, 4587, 9381, 383, 4032, 17182, 29739, 4587, 25720, 6024, 104, 7649, 10632, 8032, 8848, 1829, 47525, 3224, 7251, 38251, 1829, 11296, 479, 17, 13672, 1829, 31439, 383, 4032, 17182], "avg_logprob": -0.2874710664704994, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 2590.43, "end": 2591.43, "word": "المسافة", "probability": 0.8883056640625}, {"start": 2591.43, "end": 2591.75, "word": " هذه", "probability": 0.517578125}, {"start": 2591.75, "end": 2592.03, "word": " لو", "probability": 0.8408203125}, {"start": 2592.03, "end": 2592.93, "word": " كانت", "probability": 0.971435546875}, {"start": 2592.93, "end": 2593.33, "word": " C", "probability": 0.5078125}, {"start": 2593.33, "end": 2594.65, "word": " يبقى", "probability": 0.91796875}, {"start": 2594.65, "end": 2595.27, "word": " بيصير", "probability": 0.6661376953125}, {"start": 2595.27, "end": 2596.05, "word": " F1", "probability": 0.92626953125}, {"start": 2596.05, "end": 2596.27, "word": " اللي", "probability": 0.69970703125}, {"start": 2596.27, "end": 2596.45, "word": " هي", "probability": 0.7548828125}, {"start": 2596.45, "end": 2597.39, "word": " ناقص", "probability": 0.9136962890625}, {"start": 2597.39, "end": 2597.91, "word": " C", "probability": 0.8515625}, {"start": 2597.91, "end": 2598.15, "word": " و", "probability": 0.86767578125}, {"start": 2598.15, "end": 2598.69, "word": " Zero", "probability": 0.340576171875}, {"start": 2598.69, "end": 2600.43, "word": " البقرة", "probability": 0.6927083333333334}, {"start": 2600.43, "end": 2601.07, "word": " الثانية", "probability": 0.9224853515625}, {"start": 2601.07, "end": 2601.35, "word": " هذي", "probability": 0.4961751302083333}, {"start": 2601.35, "end": 2601.71, "word": " بده", "probability": 0.47467041015625}, {"start": 2601.71, "end": 2602.29, "word": " يسميها", "probability": 0.8759765625}, {"start": 2602.29, "end": 2603.47, "word": " F2", "probability": 0.98876953125}, {"start": 2603.47, "end": 2604.11, "word": " اللي", "probability": 0.983154296875}, {"start": 2604.11, "end": 2604.43, "word": " هو", "probability": 0.75390625}, {"start": 2604.43, "end": 2604.85, "word": " C", "probability": 0.9384765625}, {"start": 2604.85, "end": 2605.51, "word": " و", "probability": 0.7939453125}, {"start": 2605.51, "end": 2605.99, "word": " Zero", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 116, "seek": 262763, "start": 2607.35, "end": 2627.63, "text": "يبدأ صار عندنا بُقرتين وصار عندنا رأسين زي ما انت شايف بالنسبة لمن؟ لـ image وفي عندنا major axis وفي عندنا minor axis المعادلة تبعت وهي X تربية علي A تربية زي Y تربية علي B تربية تساوي", "tokens": [1829, 44510, 10721, 20328, 9640, 43242, 8315, 4724, 10859, 4587, 43500, 9957, 4032, 9381, 9640, 43242, 8315, 12602, 10721, 3794, 9957, 30767, 1829, 19446, 16472, 2655, 13412, 995, 33911, 20666, 1863, 35457, 3660, 5296, 27842, 22807, 5296, 39184, 3256, 4032, 41185, 43242, 8315, 2563, 10298, 4032, 41185, 43242, 8315, 6696, 10298, 9673, 3615, 18513, 37977, 6055, 3555, 34268, 37037, 1829, 1783, 6055, 25513, 10632, 25894, 316, 6055, 25513, 10632, 30767, 1829, 398, 6055, 25513, 10632, 25894, 363, 6055, 25513, 10632, 6055, 3794, 995, 45865], "avg_logprob": -0.20937499649384442, "compression_ratio": 1.7386363636363635, "no_speech_prob": 0.0, "words": [{"start": 2607.35, "end": 2607.85, "word": "يبدأ", "probability": 0.6258138020833334}, {"start": 2607.85, "end": 2608.17, "word": " صار", "probability": 0.6727294921875}, {"start": 2608.17, "end": 2608.53, "word": " عندنا", "probability": 0.839111328125}, {"start": 2608.53, "end": 2609.93, "word": " بُقرتين", "probability": 0.809033203125}, {"start": 2609.93, "end": 2611.13, "word": " وصار", "probability": 0.7745768229166666}, {"start": 2611.13, "end": 2611.79, "word": " عندنا", "probability": 0.98583984375}, {"start": 2611.79, "end": 2613.05, "word": " رأسين", "probability": 0.9541015625}, {"start": 2613.05, "end": 2613.83, "word": " زي", "probability": 0.76318359375}, {"start": 2613.83, "end": 2613.97, "word": " ما", "probability": 0.953125}, {"start": 2613.97, "end": 2614.17, "word": " انت", "probability": 0.82373046875}, {"start": 2614.17, "end": 2614.55, "word": " شايف", "probability": 0.9840494791666666}, {"start": 2614.55, "end": 2615.05, "word": " بالنسبة", "probability": 0.9530029296875}, {"start": 2615.05, "end": 2615.93, "word": " لمن؟", "probability": 0.76953125}, {"start": 2615.93, "end": 2617.03, "word": " لـ", "probability": 0.622802734375}, {"start": 2617.03, "end": 2617.53, "word": " image", "probability": 0.0909423828125}, {"start": 2617.53, "end": 2618.23, "word": " وفي", "probability": 0.73828125}, {"start": 2618.23, "end": 2618.63, "word": " عندنا", "probability": 0.929931640625}, {"start": 2618.63, "end": 2618.97, "word": " major", "probability": 0.904296875}, {"start": 2618.97, "end": 2619.69, "word": " axis", "probability": 0.931640625}, {"start": 2619.69, "end": 2620.27, "word": " وفي", "probability": 0.901611328125}, {"start": 2620.27, "end": 2620.71, "word": " عندنا", "probability": 0.96875}, {"start": 2620.71, "end": 2621.21, "word": " minor", "probability": 0.9736328125}, {"start": 2621.21, "end": 2622.13, "word": " axis", "probability": 0.982421875}, {"start": 2622.13, "end": 2623.19, "word": " المعادلة", "probability": 0.9259033203125}, {"start": 2623.19, "end": 2623.61, "word": " تبعت", "probability": 0.78515625}, {"start": 2623.61, "end": 2623.93, "word": " وهي", "probability": 0.811767578125}, {"start": 2623.93, "end": 2624.15, "word": " X", "probability": 0.50732421875}, {"start": 2624.15, "end": 2624.59, "word": " تربية", "probability": 0.7488606770833334}, {"start": 2624.59, "end": 2624.75, "word": " علي", "probability": 0.352294921875}, {"start": 2624.75, "end": 2624.89, "word": " A", "probability": 0.8115234375}, {"start": 2624.89, "end": 2625.25, "word": " تربية", "probability": 0.9708658854166666}, {"start": 2625.25, "end": 2625.45, "word": " زي", "probability": 0.9130859375}, {"start": 2625.45, "end": 2625.67, "word": " Y", "probability": 0.62060546875}, {"start": 2625.67, "end": 2626.05, "word": " تربية", "probability": 0.962890625}, {"start": 2626.05, "end": 2626.19, "word": " علي", "probability": 0.9150390625}, {"start": 2626.19, "end": 2626.35, "word": " B", "probability": 0.8828125}, {"start": 2626.35, "end": 2626.73, "word": " تربية", "probability": 0.9794921875}, {"start": 2626.73, "end": 2627.63, "word": " تساوي", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 117, "seek": 265529, "start": 2627.97, "end": 2655.29, "text": "وحد، طب فيه عنا A وB وC، هذا من هنا لهنا A، من هنا لهنا C، من هنا لهنا B، فيه علاقة بتربط فيما بينهم؟ نعم، بعد ما نجيبها في ثغورث ونرسم وكذا إلى آخره، يبقى B يساوي الجذر التربيه إلى A تربيه ناقص C تربيه على طول القطب", "tokens": [2407, 24401, 12399, 23032, 3555, 8978, 3224, 6225, 8315, 316, 4032, 33, 4032, 34, 12399, 23758, 9154, 34105, 5296, 3224, 8315, 316, 12399, 9154, 34105, 5296, 3224, 8315, 383, 12399, 9154, 34105, 5296, 3224, 8315, 363, 12399, 8978, 3224, 11203, 995, 28671, 39894, 25513, 9566, 8978, 15042, 49374, 16095, 22807, 8717, 25957, 12399, 39182, 19446, 8717, 7435, 1829, 3555, 11296, 8978, 38637, 17082, 13063, 12984, 4032, 1863, 2288, 38251, 4032, 4117, 15730, 30731, 19753, 34740, 3224, 12399, 7251, 3555, 4587, 7578, 363, 7251, 3794, 995, 45865, 25724, 8848, 2288, 16712, 2288, 21292, 3224, 30731, 316, 6055, 2288, 21292, 3224, 8717, 995, 4587, 9381, 383, 6055, 2288, 21292, 3224, 15844, 23032, 12610, 25062, 9566, 3555], "avg_logprob": -0.22296196274135424, "compression_ratio": 1.893939393939394, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2627.97, "end": 2628.75, "word": "وحد،", "probability": 0.3392740885416667}, {"start": 2628.75, "end": 2628.97, "word": " طب", "probability": 0.734130859375}, {"start": 2628.97, "end": 2629.17, "word": " فيه", "probability": 0.60791015625}, {"start": 2629.17, "end": 2629.47, "word": " عنا", "probability": 0.6641845703125}, {"start": 2629.47, "end": 2629.85, "word": " A", "probability": 0.76611328125}, {"start": 2629.85, "end": 2630.97, "word": " وB", "probability": 0.74267578125}, {"start": 2630.97, "end": 2632.59, "word": " وC،", "probability": 0.7705078125}, {"start": 2632.59, "end": 2633.17, "word": " هذا", "probability": 0.892578125}, {"start": 2633.17, "end": 2633.41, "word": " من", "probability": 0.978515625}, {"start": 2633.41, "end": 2633.71, "word": " هنا", "probability": 0.99169921875}, {"start": 2633.71, "end": 2634.27, "word": " لهنا", "probability": 0.7277018229166666}, {"start": 2634.27, "end": 2635.37, "word": " A،", "probability": 0.851318359375}, {"start": 2635.37, "end": 2635.65, "word": " من", "probability": 0.97705078125}, {"start": 2635.65, "end": 2635.93, "word": " هنا", "probability": 0.99560546875}, {"start": 2635.93, "end": 2636.49, "word": " لهنا", "probability": 0.9449869791666666}, {"start": 2636.49, "end": 2637.31, "word": " C،", "probability": 0.94091796875}, {"start": 2637.31, "end": 2637.57, "word": " من", "probability": 0.97705078125}, {"start": 2637.57, "end": 2637.83, "word": " هنا", "probability": 0.99560546875}, {"start": 2637.83, "end": 2638.35, "word": " لهنا", "probability": 0.96484375}, {"start": 2638.35, "end": 2639.15, "word": " B،", "probability": 0.818115234375}, {"start": 2639.15, "end": 2639.57, "word": " فيه", "probability": 0.55859375}, {"start": 2639.57, "end": 2640.05, "word": " علاقة", "probability": 0.9602864583333334}, {"start": 2640.05, "end": 2640.61, "word": " بتربط", "probability": 0.9417317708333334}, {"start": 2640.61, "end": 2640.97, "word": " فيما", "probability": 0.75}, {"start": 2640.97, "end": 2641.99, "word": " بينهم؟", "probability": 0.9404296875}, {"start": 2641.99, "end": 2642.55, "word": " نعم،", "probability": 0.749755859375}, {"start": 2642.55, "end": 2642.85, "word": " بعد", "probability": 0.9130859375}, {"start": 2642.85, "end": 2642.99, "word": " ما", "probability": 0.70361328125}, {"start": 2642.99, "end": 2643.59, "word": " نجيبها", "probability": 0.94736328125}, {"start": 2643.59, "end": 2643.77, "word": " في", "probability": 0.96142578125}, {"start": 2643.77, "end": 2644.53, "word": " ثغورث", "probability": 0.78765869140625}, {"start": 2644.53, "end": 2645.07, "word": " ونرسم", "probability": 0.88671875}, {"start": 2645.07, "end": 2645.49, "word": " وكذا", "probability": 0.9495442708333334}, {"start": 2645.49, "end": 2645.71, "word": " إلى", "probability": 0.298828125}, {"start": 2645.71, "end": 2646.71, "word": " آخره،", "probability": 0.8577880859375}, {"start": 2646.71, "end": 2647.57, "word": " يبقى", "probability": 0.985595703125}, {"start": 2647.57, "end": 2648.05, "word": " B", "probability": 0.8544921875}, {"start": 2648.05, "end": 2648.97, "word": " يساوي", "probability": 0.913330078125}, {"start": 2648.97, "end": 2649.53, "word": " الجذر", "probability": 0.87548828125}, {"start": 2649.53, "end": 2650.33, "word": " التربيه", "probability": 0.84814453125}, {"start": 2650.33, "end": 2650.61, "word": " إلى", "probability": 0.3251953125}, {"start": 2650.61, "end": 2650.91, "word": " A", "probability": 0.96240234375}, {"start": 2650.91, "end": 2651.59, "word": " تربيه", "probability": 0.8294677734375}, {"start": 2651.59, "end": 2652.43, "word": " ناقص", "probability": 0.81597900390625}, {"start": 2652.43, "end": 2652.65, "word": " C", "probability": 0.86181640625}, {"start": 2652.65, "end": 2653.25, "word": " تربيه", "probability": 0.93115234375}, {"start": 2653.25, "end": 2654.33, "word": " على", "probability": 0.59814453125}, {"start": 2654.33, "end": 2654.73, "word": " طول", "probability": 0.987548828125}, {"start": 2654.73, "end": 2655.29, "word": " القطب", "probability": 0.7373860677083334}], "temperature": 1.0}, {"id": 118, "seek": 267706, "start": 2656.14, "end": 2677.06, "text": "لو حبينا نعطيله تعريف، بنقول كل النقاط اللي بتتحرك في المستوى، المحل الهندسي، لنقطة تتحرك في المستوى، بعيد يكون مجموعة بعديها عن نقطتين ثابتتين يسوى مقدارا ثابتا", "tokens": [1211, 2407, 11331, 21292, 8315, 8717, 3615, 9566, 26895, 3224, 37279, 16572, 5172, 12399, 44945, 39648, 28242, 28239, 4587, 41193, 13672, 1829, 39894, 2655, 5016, 31747, 8978, 9673, 14851, 2407, 7578, 12399, 9673, 5016, 1211, 2423, 3224, 41260, 3794, 1829, 12399, 5296, 1863, 47432, 3660, 6055, 2655, 5016, 31747, 8978, 9673, 14851, 2407, 7578, 12399, 45030, 25708, 7251, 30544, 3714, 7435, 2304, 2407, 27884, 45030, 16254, 11296, 18871, 8717, 47432, 2655, 9957, 38637, 16758, 2655, 2655, 9957, 7251, 3794, 2407, 7578, 3714, 28543, 9640, 995, 38637, 16758, 2655, 995], "avg_logprob": -0.17656250579489602, "compression_ratio": 1.85, "no_speech_prob": 0.0, "words": [{"start": 2656.14, "end": 2656.46, "word": "لو", "probability": 0.76123046875}, {"start": 2656.46, "end": 2656.94, "word": " حبينا", "probability": 0.7548828125}, {"start": 2656.94, "end": 2657.58, "word": " نعطيله", "probability": 0.86572265625}, {"start": 2657.58, "end": 2658.58, "word": " تعريف،", "probability": 0.7645263671875}, {"start": 2658.58, "end": 2659.0, "word": " بنقول", "probability": 0.88427734375}, {"start": 2659.0, "end": 2659.66, "word": " كل", "probability": 0.89990234375}, {"start": 2659.66, "end": 2661.02, "word": " النقاط", "probability": 0.9293619791666666}, {"start": 2661.02, "end": 2661.28, "word": " اللي", "probability": 0.938720703125}, {"start": 2661.28, "end": 2662.02, "word": " بتتحرك", "probability": 0.9901123046875}, {"start": 2662.02, "end": 2662.16, "word": " في", "probability": 0.0968017578125}, {"start": 2662.16, "end": 2662.24, "word": " المستوى،", "probability": 0.807861328125}, {"start": 2662.24, "end": 2663.1, "word": " المحل", "probability": 0.7366536458333334}, {"start": 2663.1, "end": 2664.1, "word": " الهندسي،", "probability": 0.8975423177083334}, {"start": 2664.1, "end": 2665.02, "word": " لنقطة", "probability": 0.9368896484375}, {"start": 2665.02, "end": 2665.72, "word": " تتحرك", "probability": 0.97900390625}, {"start": 2665.72, "end": 2665.84, "word": " في", "probability": 0.97119140625}, {"start": 2665.84, "end": 2666.46, "word": " المستوى،", "probability": 0.93046875}, {"start": 2666.46, "end": 2666.72, "word": " بعيد", "probability": 0.69775390625}, {"start": 2666.72, "end": 2667.2, "word": " يكون", "probability": 0.9501953125}, {"start": 2667.2, "end": 2668.86, "word": " مجموعة", "probability": 0.918359375}, {"start": 2668.86, "end": 2671.18, "word": " بعديها", "probability": 0.7516276041666666}, {"start": 2671.18, "end": 2672.04, "word": " عن", "probability": 0.95849609375}, {"start": 2672.04, "end": 2673.24, "word": " نقطتين", "probability": 0.9080810546875}, {"start": 2673.24, "end": 2674.56, "word": " ثابتتين", "probability": 0.9859375}, {"start": 2674.56, "end": 2675.2, "word": " يسوى", "probability": 0.75579833984375}, {"start": 2675.2, "end": 2676.04, "word": " مقدارا", "probability": 0.9432373046875}, {"start": 2676.04, "end": 2677.06, "word": " ثابتا", "probability": 0.9886474609375}], "temperature": 1.0}, {"id": 119, "seek": 270063, "start": 2677.35, "end": 2700.63, "text": "يعني لو أخدت أي نقطة زي النقطة هذه، البعد هذا، زي البعد هذا، زي البعد هذا، مع البعد هذا و هكذا، انسى، بدنا المعادلة واللي متعلقة بيها طب هذا لو كان A أكبر من B؟ طب لو كان B أكبر من A؟ يرجع بده يصير المحور غامن؟", "tokens": [40228, 22653, 45164, 5551, 9778, 3215, 2655, 36632, 8717, 47432, 3660, 30767, 1829, 28239, 47432, 3660, 29538, 12399, 29739, 22488, 23758, 12399, 30767, 1829, 29739, 22488, 23758, 12399, 30767, 1829, 29739, 22488, 23758, 12399, 20449, 29739, 22488, 23758, 4032, 8032, 4117, 15730, 12399, 16472, 3794, 7578, 12399, 47525, 8315, 9673, 3615, 18513, 37977, 16070, 20292, 44650, 30241, 28671, 4724, 1829, 11296, 23032, 3555, 23758, 45164, 25961, 316, 5551, 4117, 26890, 9154, 363, 22807, 23032, 3555, 45164, 25961, 363, 5551, 4117, 26890, 9154, 316, 22807, 7251, 47341, 3615, 47525, 3224, 7251, 9381, 13546, 9673, 5016, 13063, 32771, 10943, 1863, 22807], "avg_logprob": -0.20656250461935996, "compression_ratio": 2.0786516853932584, "no_speech_prob": 0.0, "words": [{"start": 2677.35, "end": 2678.19, "word": "يعني", "probability": 0.8994140625}, {"start": 2678.19, "end": 2678.51, "word": " لو", "probability": 0.5576171875}, {"start": 2678.51, "end": 2679.07, "word": " أخدت", "probability": 0.8243408203125}, {"start": 2679.07, "end": 2679.33, "word": " أي", "probability": 0.708984375}, {"start": 2679.33, "end": 2679.83, "word": " نقطة", "probability": 0.9344075520833334}, {"start": 2679.83, "end": 2680.09, "word": " زي", "probability": 0.818115234375}, {"start": 2680.09, "end": 2680.71, "word": " النقطة", "probability": 0.9274088541666666}, {"start": 2680.71, "end": 2681.11, "word": " هذه،", "probability": 0.6090087890625}, {"start": 2681.11, "end": 2681.61, "word": " البعد", "probability": 0.896484375}, {"start": 2681.61, "end": 2682.49, "word": " هذا،", "probability": 0.537109375}, {"start": 2682.49, "end": 2682.73, "word": " زي", "probability": 0.967041015625}, {"start": 2682.73, "end": 2683.23, "word": " البعد", "probability": 0.989013671875}, {"start": 2683.23, "end": 2683.99, "word": " هذا،", "probability": 0.8447265625}, {"start": 2683.99, "end": 2684.47, "word": " زي", "probability": 0.9873046875}, {"start": 2684.47, "end": 2684.95, "word": " البعد", "probability": 0.99267578125}, {"start": 2684.95, "end": 2685.77, "word": " هذا،", "probability": 0.8271484375}, {"start": 2685.77, "end": 2686.01, "word": " مع", "probability": 0.958984375}, {"start": 2686.01, "end": 2686.55, "word": " البعد", "probability": 0.99267578125}, {"start": 2686.55, "end": 2686.89, "word": " هذا", "probability": 0.951171875}, {"start": 2686.89, "end": 2687.05, "word": " و", "probability": 0.423828125}, {"start": 2687.05, "end": 2687.61, "word": " هكذا،", "probability": 0.755584716796875}, {"start": 2687.61, "end": 2688.45, "word": " انسى،", "probability": 0.7615966796875}, {"start": 2688.45, "end": 2688.77, "word": " بدنا", "probability": 0.91259765625}, {"start": 2688.77, "end": 2689.61, "word": " المعادلة", "probability": 0.9923095703125}, {"start": 2689.61, "end": 2690.29, "word": " واللي", "probability": 0.637451171875}, {"start": 2690.29, "end": 2691.23, "word": " متعلقة", "probability": 0.9710286458333334}, {"start": 2691.23, "end": 2691.83, "word": " بيها", "probability": 0.845703125}, {"start": 2691.83, "end": 2692.51, "word": " طب", "probability": 0.777099609375}, {"start": 2692.51, "end": 2692.79, "word": " هذا", "probability": 0.701171875}, {"start": 2692.79, "end": 2693.05, "word": " لو", "probability": 0.95947265625}, {"start": 2693.05, "end": 2693.41, "word": " كان", "probability": 0.98876953125}, {"start": 2693.41, "end": 2693.71, "word": " A", "probability": 0.65576171875}, {"start": 2693.71, "end": 2694.25, "word": " أكبر", "probability": 0.9578450520833334}, {"start": 2694.25, "end": 2694.47, "word": " من", "probability": 0.98828125}, {"start": 2694.47, "end": 2694.85, "word": " B؟", "probability": 0.663330078125}, {"start": 2694.85, "end": 2695.03, "word": " طب", "probability": 0.970458984375}, {"start": 2695.03, "end": 2695.29, "word": " لو", "probability": 0.98388671875}, {"start": 2695.29, "end": 2695.71, "word": " كان", "probability": 0.98876953125}, {"start": 2695.71, "end": 2696.03, "word": " B", "probability": 0.93896484375}, {"start": 2696.03, "end": 2696.61, "word": " أكبر", "probability": 0.9820963541666666}, {"start": 2696.61, "end": 2696.85, "word": " من", "probability": 0.994140625}, {"start": 2696.85, "end": 2698.37, "word": " A؟", "probability": 0.94970703125}, {"start": 2698.37, "end": 2698.81, "word": " يرجع", "probability": 0.62158203125}, {"start": 2698.81, "end": 2699.09, "word": " بده", "probability": 0.4921875}, {"start": 2699.09, "end": 2699.33, "word": " يصير", "probability": 0.9215494791666666}, {"start": 2699.33, "end": 2699.85, "word": " المحور", "probability": 0.8444010416666666}, {"start": 2699.85, "end": 2700.63, "word": " غامن؟", "probability": 0.762542724609375}], "temperature": 1.0}, {"id": 120, "seek": 271532, "start": 2700.66, "end": 2715.32, "text": "المحور الرئيسي هو محور Y يعني بدأ تصبح الرسمة على الشكل اللي عندها هذا محور X وهذا Y وقد يصبح ال ellipse بالشكل هذا", "tokens": [45340, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 31439, 3714, 5016, 13063, 398, 37495, 22653, 47525, 10721, 6055, 9381, 49628, 34892, 38251, 3660, 15844, 25124, 28820, 13672, 1829, 43242, 11296, 23758, 3714, 5016, 13063, 1783, 37037, 15730, 398, 4032, 28543, 7251, 9381, 49628, 2423, 8284, 48041, 20666, 8592, 28820, 23758], "avg_logprob": -0.20266543416415944, "compression_ratio": 1.5271317829457365, "no_speech_prob": 0.0, "words": [{"start": 2700.66, "end": 2701.5, "word": "المحور", "probability": 0.89892578125}, {"start": 2701.5, "end": 2702.54, "word": " الرئيسي", "probability": 0.98125}, {"start": 2702.54, "end": 2703.0, "word": " هو", "probability": 0.89599609375}, {"start": 2703.0, "end": 2704.04, "word": " محور", "probability": 0.9046223958333334}, {"start": 2704.04, "end": 2704.52, "word": " Y", "probability": 0.86474609375}, {"start": 2704.52, "end": 2705.26, "word": " يعني", "probability": 0.791015625}, {"start": 2705.26, "end": 2705.62, "word": " بدأ", "probability": 0.448944091796875}, {"start": 2705.62, "end": 2706.12, "word": " تصبح", "probability": 0.88330078125}, {"start": 2706.12, "end": 2707.0, "word": " الرسمة", "probability": 0.8797200520833334}, {"start": 2707.0, "end": 2707.52, "word": " على", "probability": 0.90625}, {"start": 2707.52, "end": 2708.02, "word": " الشكل", "probability": 0.920166015625}, {"start": 2708.02, "end": 2708.26, "word": " اللي", "probability": 0.881591796875}, {"start": 2708.26, "end": 2708.6, "word": " عندها", "probability": 0.847900390625}, {"start": 2708.6, "end": 2708.9, "word": " هذا", "probability": 0.1688232421875}, {"start": 2708.9, "end": 2709.48, "word": " محور", "probability": 0.9471028645833334}, {"start": 2709.48, "end": 2709.92, "word": " X", "probability": 0.98681640625}, {"start": 2709.92, "end": 2710.92, "word": " وهذا", "probability": 0.90771484375}, {"start": 2710.92, "end": 2711.42, "word": " Y", "probability": 0.92138671875}, {"start": 2711.42, "end": 2712.2, "word": " وقد", "probability": 0.669677734375}, {"start": 2712.2, "end": 2712.84, "word": " يصبح", "probability": 0.982421875}, {"start": 2712.84, "end": 2713.02, "word": " ال", "probability": 0.93994140625}, {"start": 2713.02, "end": 2713.68, "word": " ellipse", "probability": 0.6407470703125}, {"start": 2713.68, "end": 2714.9, "word": " بالشكل", "probability": 0.9309895833333334}, {"start": 2714.9, "end": 2715.32, "word": " هذا", "probability": 0.97216796875}], "temperature": 1.0}, {"id": 121, "seek": 273885, "start": 2716.05, "end": 2738.85, "text": "وبتبقى هذه النقطة اللي هي Zero و A وهذا Zero و Zero Zero و سالب A هذه النقطة B و Zero هذه النقطة سالب B و Zero طب البورتين وين بدهم يجوا؟", "tokens": [37746, 2655, 3555, 4587, 7578, 29538, 28239, 47432, 3660, 13672, 1829, 39896, 17182, 4032, 316, 37037, 15730, 17182, 4032, 17182, 17182, 4032, 8608, 6027, 3555, 316, 29538, 28239, 47432, 3660, 363, 4032, 17182, 29538, 28239, 47432, 3660, 8608, 6027, 3555, 363, 4032, 17182, 23032, 3555, 29739, 13063, 2655, 9957, 4032, 9957, 47525, 16095, 7251, 7435, 14407, 22807], "avg_logprob": -0.27020473572714576, "compression_ratio": 1.7916666666666667, "no_speech_prob": 0.0, "words": [{"start": 2716.05, "end": 2717.05, "word": "وبتبقى", "probability": 0.6911865234375}, {"start": 2717.05, "end": 2717.55, "word": " هذه", "probability": 0.89990234375}, {"start": 2717.55, "end": 2718.57, "word": " النقطة", "probability": 0.9654947916666666}, {"start": 2718.57, "end": 2719.03, "word": " اللي", "probability": 0.5830078125}, {"start": 2719.03, "end": 2719.33, "word": " هي", "probability": 0.89990234375}, {"start": 2719.33, "end": 2719.83, "word": " Zero", "probability": 0.257080078125}, {"start": 2719.83, "end": 2720.27, "word": " و", "probability": 0.689453125}, {"start": 2720.27, "end": 2720.57, "word": " A", "probability": 0.6826171875}, {"start": 2720.57, "end": 2721.69, "word": " وهذا", "probability": 0.6298828125}, {"start": 2721.69, "end": 2722.29, "word": " Zero", "probability": 0.8642578125}, {"start": 2722.29, "end": 2722.71, "word": " و", "probability": 0.732421875}, {"start": 2722.71, "end": 2723.73, "word": " Zero", "probability": 0.351318359375}, {"start": 2723.73, "end": 2726.41, "word": " Zero", "probability": 0.64111328125}, {"start": 2726.41, "end": 2726.99, "word": " و", "probability": 0.93212890625}, {"start": 2726.99, "end": 2727.71, "word": " سالب", "probability": 0.7838541666666666}, {"start": 2727.71, "end": 2728.11, "word": " A", "probability": 0.916015625}, {"start": 2728.11, "end": 2728.93, "word": " هذه", "probability": 0.44140625}, {"start": 2728.93, "end": 2729.91, "word": " النقطة", "probability": 0.9775390625}, {"start": 2729.91, "end": 2730.27, "word": " B", "probability": 0.360595703125}, {"start": 2730.27, "end": 2730.67, "word": " و", "probability": 0.970703125}, {"start": 2730.67, "end": 2731.27, "word": " Zero", "probability": 0.97314453125}, {"start": 2731.27, "end": 2732.27, "word": " هذه", "probability": 0.76025390625}, {"start": 2732.27, "end": 2733.35, "word": " النقطة", "probability": 0.982421875}, {"start": 2733.35, "end": 2734.23, "word": " سالب", "probability": 0.8850911458333334}, {"start": 2734.23, "end": 2734.77, "word": " B", "probability": 0.9482421875}, {"start": 2734.77, "end": 2735.23, "word": " و", "probability": 0.9697265625}, {"start": 2735.23, "end": 2735.59, "word": " Zero", "probability": 0.97705078125}, {"start": 2735.59, "end": 2736.55, "word": " طب", "probability": 0.7724609375}, {"start": 2736.55, "end": 2737.29, "word": " البورتين", "probability": 0.8468017578125}, {"start": 2737.29, "end": 2737.57, "word": " وين", "probability": 0.836669921875}, {"start": 2737.57, "end": 2737.95, "word": " بدهم", "probability": 0.790771484375}, {"start": 2737.95, "end": 2738.85, "word": " يجوا؟", "probability": 0.9058837890625}], "temperature": 1.0}, {"id": 122, "seek": 275731, "start": 2739.01, "end": 2757.31, "text": "على محور Y يبقى بيصير هذه إحدى البقرتين وهذه البقرة الثانية يبقى هذه بدي أسميها F1 اللي هو Zero وسالب C هذه F2", "tokens": [3615, 23942, 3714, 5016, 13063, 398, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 29538, 11933, 24401, 7578, 29739, 4587, 43500, 9957, 37037, 24192, 29739, 4587, 25720, 6024, 104, 7649, 10632, 7251, 3555, 4587, 7578, 29538, 4724, 16254, 5551, 38251, 1829, 11296, 479, 16, 13672, 1829, 31439, 17182, 46952, 6027, 3555, 383, 29538, 479, 17], "avg_logprob": -0.18401226960122585, "compression_ratio": 1.4351145038167938, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2739.01, "end": 2739.61, "word": "على", "probability": 0.85302734375}, {"start": 2739.61, "end": 2740.41, "word": " محور", "probability": 0.990234375}, {"start": 2740.41, "end": 2740.95, "word": " Y", "probability": 0.87353515625}, {"start": 2740.95, "end": 2741.87, "word": " يبقى", "probability": 0.872314453125}, {"start": 2741.87, "end": 2742.53, "word": " بيصير", "probability": 0.83160400390625}, {"start": 2742.53, "end": 2742.91, "word": " هذه", "probability": 0.68505859375}, {"start": 2742.91, "end": 2743.53, "word": " إحدى", "probability": 0.7794596354166666}, {"start": 2743.53, "end": 2744.51, "word": " البقرتين", "probability": 0.73712158203125}, {"start": 2744.51, "end": 2745.47, "word": " وهذه", "probability": 0.8203125}, {"start": 2745.47, "end": 2746.15, "word": " البقرة", "probability": 0.9827473958333334}, {"start": 2746.15, "end": 2747.17, "word": " الثانية", "probability": 0.972412109375}, {"start": 2747.17, "end": 2748.35, "word": " يبقى", "probability": 0.94482421875}, {"start": 2748.35, "end": 2748.65, "word": " هذه", "probability": 0.912109375}, {"start": 2748.65, "end": 2748.91, "word": " بدي", "probability": 0.4688720703125}, {"start": 2748.91, "end": 2749.79, "word": " أسميها", "probability": 0.9361572265625}, {"start": 2749.79, "end": 2751.67, "word": " F1", "probability": 0.946044921875}, {"start": 2751.67, "end": 2752.53, "word": " اللي", "probability": 0.79736328125}, {"start": 2752.53, "end": 2752.81, "word": " هو", "probability": 0.98388671875}, {"start": 2752.81, "end": 2753.55, "word": " Zero", "probability": 0.66650390625}, {"start": 2753.55, "end": 2754.73, "word": " وسالب", "probability": 0.8592122395833334}, {"start": 2754.73, "end": 2755.13, "word": " C", "probability": 0.91552734375}, {"start": 2755.13, "end": 2756.13, "word": " هذه", "probability": 0.397216796875}, {"start": 2756.13, "end": 2757.31, "word": " F2", "probability": 0.978759765625}], "temperature": 1.0}, {"id": 123, "seek": 278644, "start": 2757.66, "end": 2786.44, "text": "للـ zero و الـ C يعني المسافة هذه كلها C و المسافة هذه كذلك اللي هي C و نفس المعادلة هذه لن تتغير طب كيف بيدميز بين الرسمتين؟ تطلع لصاحب المقام الرفيع لمقامه كبير المتغير اللي من فوقه هو المحور الرئيسي تمام؟ بقى كتابة مش مشكلة", "tokens": [1211, 1211, 39184, 4018, 4032, 2423, 39184, 383, 37495, 22653, 9673, 3794, 31845, 3660, 29538, 28242, 11296, 383, 4032, 9673, 3794, 31845, 3660, 29538, 9122, 8848, 23275, 13672, 1829, 39896, 383, 4032, 8717, 36178, 9673, 3615, 18513, 37977, 29538, 5296, 1863, 6055, 2655, 17082, 13546, 23032, 3555, 9122, 33911, 4724, 25708, 2304, 1829, 11622, 49374, 34892, 38251, 2655, 9957, 22807, 6055, 9566, 1211, 3615, 5296, 9381, 39319, 3555, 9673, 4587, 10943, 34892, 41185, 3615, 5296, 2304, 4587, 10943, 3224, 9122, 3555, 13546, 9673, 2655, 17082, 13546, 13672, 1829, 9154, 6156, 30543, 3224, 31439, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 46811, 10943, 22807, 4724, 4587, 7578, 9122, 2655, 16758, 3660, 37893, 37893, 28820, 3660], "avg_logprob": -0.2152478393038799, "compression_ratio": 1.8518518518518519, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2757.66, "end": 2758.24, "word": "للـ", "probability": 0.4883626302083333}, {"start": 2758.24, "end": 2758.56, "word": " zero", "probability": 0.297607421875}, {"start": 2758.56, "end": 2758.96, "word": " و", "probability": 0.65869140625}, {"start": 2758.96, "end": 2758.98, "word": " الـ", "probability": 0.48974609375}, {"start": 2758.98, "end": 2759.2, "word": " C", "probability": 0.6083984375}, {"start": 2759.2, "end": 2760.06, "word": " يعني", "probability": 0.775634765625}, {"start": 2760.06, "end": 2760.88, "word": " المسافة", "probability": 0.9693603515625}, {"start": 2760.88, "end": 2761.26, "word": " هذه", "probability": 0.7548828125}, {"start": 2761.26, "end": 2762.0, "word": " كلها", "probability": 0.97412109375}, {"start": 2762.0, "end": 2762.38, "word": " C", "probability": 0.87646484375}, {"start": 2762.38, "end": 2762.96, "word": " و", "probability": 0.53076171875}, {"start": 2762.96, "end": 2763.7, "word": " المسافة", "probability": 0.9532470703125}, {"start": 2763.7, "end": 2764.02, "word": " هذه", "probability": 0.916015625}, {"start": 2764.02, "end": 2764.72, "word": " كذلك", "probability": 0.9869791666666666}, {"start": 2764.72, "end": 2765.12, "word": " اللي", "probability": 0.84423828125}, {"start": 2765.12, "end": 2765.42, "word": " هي", "probability": 0.91162109375}, {"start": 2765.42, "end": 2765.94, "word": " C", "probability": 0.97314453125}, {"start": 2765.94, "end": 2766.56, "word": " و", "probability": 0.95263671875}, {"start": 2766.56, "end": 2766.96, "word": " نفس", "probability": 0.9833984375}, {"start": 2766.96, "end": 2767.86, "word": " المعادلة", "probability": 0.96240234375}, {"start": 2767.86, "end": 2768.28, "word": " هذه", "probability": 0.8916015625}, {"start": 2768.28, "end": 2768.76, "word": " لن", "probability": 0.97998046875}, {"start": 2768.76, "end": 2769.84, "word": " تتغير", "probability": 0.995849609375}, {"start": 2769.84, "end": 2770.72, "word": " طب", "probability": 0.89453125}, {"start": 2770.72, "end": 2771.08, "word": " كيف", "probability": 0.988525390625}, {"start": 2771.08, "end": 2771.9, "word": " بيدميز", "probability": 0.75263671875}, {"start": 2771.9, "end": 2772.4, "word": " بين", "probability": 0.994140625}, {"start": 2772.4, "end": 2773.96, "word": " الرسمتين؟", "probability": 0.90107421875}, {"start": 2773.96, "end": 2775.18, "word": " تطلع", "probability": 0.7166748046875}, {"start": 2775.18, "end": 2775.86, "word": " لصاحب", "probability": 0.8818359375}, {"start": 2775.86, "end": 2776.5, "word": " المقام", "probability": 0.9910481770833334}, {"start": 2776.5, "end": 2777.26, "word": " الرفيع", "probability": 0.6765950520833334}, {"start": 2777.26, "end": 2778.16, "word": " لمقامه", "probability": 0.84423828125}, {"start": 2778.16, "end": 2778.62, "word": " كبير", "probability": 0.9573567708333334}, {"start": 2778.62, "end": 2779.54, "word": " المتغير", "probability": 0.9053955078125}, {"start": 2779.54, "end": 2779.7, "word": " اللي", "probability": 0.97216796875}, {"start": 2779.7, "end": 2779.84, "word": " من", "probability": 0.97900390625}, {"start": 2779.84, "end": 2780.48, "word": " فوقه", "probability": 0.7281901041666666}, {"start": 2780.48, "end": 2780.68, "word": " هو", "probability": 0.60595703125}, {"start": 2780.68, "end": 2781.4, "word": " المحور", "probability": 0.9861653645833334}, {"start": 2781.4, "end": 2783.28, "word": " الرئيسي", "probability": 0.993359375}, {"start": 2783.28, "end": 2784.74, "word": " تمام؟", "probability": 0.8028971354166666}, {"start": 2784.74, "end": 2785.08, "word": " بقى", "probability": 0.5536295572916666}, {"start": 2785.08, "end": 2785.66, "word": " كتابة", "probability": 0.60028076171875}, {"start": 2785.66, "end": 2785.84, "word": " مش", "probability": 0.97607421875}, {"start": 2785.84, "end": 2786.44, "word": " مشكلة", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 124, "seek": 281509, "start": 2786.67, "end": 2815.09, "text": "أكتب صاحب المتغير اللي مقامه أكبر ما يمكن بيكون هو ال major axis المحور الرئيسي طيب، لأ لو الرسم هذا جينا عملنا له shift يبقى شو بده يصير شكل المعادلة؟ يبقى F و shift the ellipse", "tokens": [10721, 4117, 2655, 3555, 20328, 39319, 3555, 9673, 2655, 17082, 13546, 13672, 1829, 3714, 4587, 10943, 3224, 5551, 4117, 26890, 19446, 7251, 43020, 4724, 1829, 30544, 31439, 2423, 2563, 10298, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 23032, 1829, 3555, 12399, 5296, 10721, 45164, 34892, 38251, 23758, 10874, 1829, 8315, 6225, 42213, 8315, 46740, 5513, 7251, 3555, 4587, 7578, 13412, 2407, 47525, 3224, 7251, 9381, 13546, 13412, 28820, 9673, 3615, 18513, 37977, 22807, 7251, 3555, 4587, 7578, 479, 4032, 5513, 264, 8284, 48041], "avg_logprob": -0.22077205601860495, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 2786.67, "end": 2787.35, "word": "أكتب", "probability": 0.76055908203125}, {"start": 2787.35, "end": 2787.89, "word": " صاحب", "probability": 0.9427083333333334}, {"start": 2787.89, "end": 2789.37, "word": " المتغير", "probability": 0.82391357421875}, {"start": 2789.37, "end": 2790.25, "word": " اللي", "probability": 0.6748046875}, {"start": 2790.25, "end": 2790.99, "word": " مقامه", "probability": 0.978271484375}, {"start": 2790.99, "end": 2791.85, "word": " أكبر", "probability": 0.9134114583333334}, {"start": 2791.85, "end": 2792.57, "word": " ما", "probability": 0.908203125}, {"start": 2792.57, "end": 2793.35, "word": " يمكن", "probability": 0.936279296875}, {"start": 2793.35, "end": 2793.95, "word": " بيكون", "probability": 0.7822265625}, {"start": 2793.95, "end": 2794.29, "word": " هو", "probability": 0.97216796875}, {"start": 2794.29, "end": 2794.49, "word": " ال", "probability": 0.6767578125}, {"start": 2794.49, "end": 2794.81, "word": " major", "probability": 0.63720703125}, {"start": 2794.81, "end": 2795.81, "word": " axis", "probability": 0.9736328125}, {"start": 2795.81, "end": 2797.05, "word": " المحور", "probability": 0.91845703125}, {"start": 2797.05, "end": 2798.81, "word": " الرئيسي", "probability": 0.99169921875}, {"start": 2798.81, "end": 2800.07, "word": " طيب،", "probability": 0.7764892578125}, {"start": 2800.07, "end": 2800.37, "word": " لأ", "probability": 0.4744873046875}, {"start": 2800.37, "end": 2800.57, "word": " لو", "probability": 0.8935546875}, {"start": 2800.57, "end": 2800.97, "word": " الرسم", "probability": 0.959716796875}, {"start": 2800.97, "end": 2801.27, "word": " هذا", "probability": 0.41015625}, {"start": 2801.27, "end": 2801.61, "word": " جينا", "probability": 0.7902018229166666}, {"start": 2801.61, "end": 2802.07, "word": " عملنا", "probability": 0.94482421875}, {"start": 2802.07, "end": 2802.29, "word": " له", "probability": 0.43310546875}, {"start": 2802.29, "end": 2802.89, "word": " shift", "probability": 0.68115234375}, {"start": 2802.89, "end": 2803.67, "word": " يبقى", "probability": 0.8997802734375}, {"start": 2803.67, "end": 2803.89, "word": " شو", "probability": 0.893310546875}, {"start": 2803.89, "end": 2804.07, "word": " بده", "probability": 0.741455078125}, {"start": 2804.07, "end": 2804.29, "word": " يصير", "probability": 0.8533528645833334}, {"start": 2804.29, "end": 2804.67, "word": " شكل", "probability": 0.968994140625}, {"start": 2804.67, "end": 2806.15, "word": " المعادلة؟", "probability": 0.91640625}, {"start": 2806.15, "end": 2807.97, "word": " يبقى", "probability": 0.927490234375}, {"start": 2807.97, "end": 2808.59, "word": " F", "probability": 0.734375}, {"start": 2808.59, "end": 2810.03, "word": " و", "probability": 0.6630859375}, {"start": 2810.03, "end": 2811.49, "word": " shift", "probability": 0.39306640625}, {"start": 2811.49, "end": 2813.37, "word": " the", "probability": 0.31396484375}, {"start": 2813.37, "end": 2815.09, "word": " ellipse", "probability": 0.72314453125}], "temperature": 1.0}, {"id": 125, "seek": 282558, "start": 2819.22, "end": 2825.58, "text": "لو عملنا shift ل ال ellipse then its equation is", "tokens": [1211, 2407, 6225, 42213, 8315, 5513, 5296, 2423, 8284, 48041, 550, 1080, 5367, 307], "avg_logprob": -0.5218749841054281, "compression_ratio": 0.8923076923076924, "no_speech_prob": 0.0, "words": [{"start": 2819.22, "end": 2819.56, "word": "لو", "probability": 0.732177734375}, {"start": 2819.56, "end": 2820.0, "word": " عملنا", "probability": 0.9205729166666666}, {"start": 2820.0, "end": 2820.3, "word": " shift", "probability": 0.859375}, {"start": 2820.3, "end": 2820.48, "word": " ل", "probability": 0.1802978515625}, {"start": 2820.48, "end": 2820.56, "word": " ال", "probability": 0.283447265625}, {"start": 2820.56, "end": 2820.94, "word": " ellipse", "probability": 0.51837158203125}, {"start": 2820.94, "end": 2821.48, "word": " then", "probability": 0.396484375}, {"start": 2821.48, "end": 2822.84, "word": " its", "probability": 0.75439453125}, {"start": 2822.84, "end": 2824.52, "word": " equation", "probability": 0.97705078125}, {"start": 2824.52, "end": 2825.58, "word": " is", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 126, "seek": 285336, "start": 2827.28, "end": 2853.36, "text": "هيعني بدى يصير X نقص H الكل تربية على A تربية و Y نقص K الكل تربية على B تربية يساوي واحد where حيث ال H والK is the center of the ellipse", "tokens": [3224, 40228, 22653, 47525, 7578, 7251, 9381, 13546, 1783, 8717, 4587, 9381, 389, 2423, 28820, 6055, 25513, 10632, 15844, 316, 6055, 25513, 10632, 4032, 398, 8717, 4587, 9381, 591, 2423, 28820, 6055, 25513, 10632, 15844, 363, 6055, 25513, 10632, 7251, 3794, 995, 45865, 36764, 24401, 689, 11331, 1829, 12984, 2423, 389, 16070, 42, 307, 264, 3056, 295, 264, 8284, 48041], "avg_logprob": -0.23936987411780436, "compression_ratio": 1.475177304964539, "no_speech_prob": 0.0, "words": [{"start": 2827.2799999999997, "end": 2828.64, "word": "هيعني", "probability": 0.5106608072916666}, {"start": 2828.64, "end": 2829.2, "word": " بدى", "probability": 0.334228515625}, {"start": 2829.2, "end": 2829.64, "word": " يصير", "probability": 0.9469401041666666}, {"start": 2829.64, "end": 2830.14, "word": " X", "probability": 0.4794921875}, {"start": 2830.14, "end": 2830.98, "word": " نقص", "probability": 0.7745768229166666}, {"start": 2830.98, "end": 2831.4, "word": " H", "probability": 0.921875}, {"start": 2831.4, "end": 2832.1, "word": " الكل", "probability": 0.67333984375}, {"start": 2832.1, "end": 2832.84, "word": " تربية", "probability": 0.86083984375}, {"start": 2832.84, "end": 2833.62, "word": " على", "probability": 0.77099609375}, {"start": 2833.62, "end": 2833.88, "word": " A", "probability": 0.447265625}, {"start": 2833.88, "end": 2834.52, "word": " تربية", "probability": 0.9410807291666666}, {"start": 2834.52, "end": 2835.16, "word": " و", "probability": 0.7822265625}, {"start": 2835.16, "end": 2835.42, "word": " Y", "probability": 0.457275390625}, {"start": 2835.42, "end": 2836.0, "word": " نقص", "probability": 0.9306640625}, {"start": 2836.0, "end": 2836.24, "word": " K", "probability": 0.96240234375}, {"start": 2836.24, "end": 2836.7, "word": " الكل", "probability": 0.83740234375}, {"start": 2836.7, "end": 2837.4, "word": " تربية", "probability": 0.9788411458333334}, {"start": 2837.4, "end": 2838.06, "word": " على", "probability": 0.857421875}, {"start": 2838.06, "end": 2838.34, "word": " B", "probability": 0.705078125}, {"start": 2838.34, "end": 2838.9, "word": " تربية", "probability": 0.9822591145833334}, {"start": 2838.9, "end": 2839.5, "word": " يساوي", "probability": 0.8895263671875}, {"start": 2839.5, "end": 2840.18, "word": " واحد", "probability": 0.935546875}, {"start": 2840.18, "end": 2841.82, "word": " where", "probability": 0.477783203125}, {"start": 2841.82, "end": 2842.88, "word": " حيث", "probability": 0.95751953125}, {"start": 2842.88, "end": 2843.7, "word": " ال", "probability": 0.91259765625}, {"start": 2843.7, "end": 2844.2, "word": " H", "probability": 0.7822265625}, {"start": 2844.2, "end": 2845.54, "word": " والK", "probability": 0.654296875}, {"start": 2845.54, "end": 2846.76, "word": " is", "probability": 0.92626953125}, {"start": 2846.76, "end": 2847.84, "word": " the", "probability": 0.87841796875}, {"start": 2847.84, "end": 2849.52, "word": " center", "probability": 0.86962890625}, {"start": 2849.52, "end": 2851.26, "word": " of", "probability": 0.98681640625}, {"start": 2851.26, "end": 2852.62, "word": " the", "probability": 0.908203125}, {"start": 2852.62, "end": 2853.36, "word": " ellipse", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 127, "seek": 287000, "start": 2856.36, "end": 2870.0, "text": "هيبقى ياله بالصراحة علمائياتي بالنسباله، في عندك center وفي عندك two vertices وفي عندك two فقاعي، بُهرتين", "tokens": [3224, 1829, 3555, 4587, 7578, 7251, 6027, 3224, 20666, 9381, 23557, 5016, 3660, 11203, 2304, 16373, 1829, 9307, 1829, 20666, 1863, 35457, 6027, 3224, 12399, 8978, 43242, 4117, 3056, 4032, 41185, 43242, 4117, 732, 32053, 4032, 41185, 43242, 4117, 732, 6156, 4587, 45761, 1829, 12399, 4724, 10859, 3224, 43500, 9957], "avg_logprob": -0.35294119049521055, "compression_ratio": 1.4146341463414633, "no_speech_prob": 0.0, "words": [{"start": 2856.36, "end": 2856.74, "word": "هيبقى", "probability": 0.71815185546875}, {"start": 2856.74, "end": 2857.1, "word": " ياله", "probability": 0.4363606770833333}, {"start": 2857.1, "end": 2857.6, "word": " بالصراحة", "probability": 0.740625}, {"start": 2857.6, "end": 2858.4, "word": " علمائياتي", "probability": 0.5866190592447916}, {"start": 2858.4, "end": 2859.58, "word": " بالنسباله،", "probability": 0.9269205729166666}, {"start": 2859.58, "end": 2860.36, "word": " في", "probability": 0.802734375}, {"start": 2860.36, "end": 2860.82, "word": " عندك", "probability": 0.912841796875}, {"start": 2860.82, "end": 2861.3, "word": " center", "probability": 0.6220703125}, {"start": 2861.3, "end": 2862.74, "word": " وفي", "probability": 0.5771484375}, {"start": 2862.74, "end": 2863.32, "word": " عندك", "probability": 0.981201171875}, {"start": 2863.32, "end": 2863.64, "word": " two", "probability": 0.953125}, {"start": 2863.64, "end": 2864.86, "word": " vertices", "probability": 0.962890625}, {"start": 2864.86, "end": 2866.34, "word": " وفي", "probability": 0.92431640625}, {"start": 2866.34, "end": 2867.14, "word": " عندك", "probability": 0.987548828125}, {"start": 2867.14, "end": 2867.46, "word": " two", "probability": 0.94384765625}, {"start": 2867.46, "end": 2869.12, "word": " فقاعي،", "probability": 0.7609375}, {"start": 2869.12, "end": 2870.0, "word": " بُهرتين", "probability": 0.7581787109375}], "temperature": 1.0}, {"id": 128, "seek": 289773, "start": 2870.39, "end": 2897.73, "text": "و رأسين و major axis و minor axis محور ثانوي محور رئيسي رأسين بقرتين و ال center اللي هو نقطة الاصل لو عملنا له shift بيبطل ال seal ال center نقطة الاصل المرة الجاية بنكمل بناخد عليه أمثلة و بناخد كذلك ال high parabola ان شاء الله تعالى", "tokens": [2407, 12602, 10721, 3794, 9957, 4032, 2563, 10298, 4032, 6696, 10298, 3714, 5016, 13063, 38637, 7649, 45865, 3714, 5016, 13063, 12602, 19986, 1829, 3794, 1829, 12602, 10721, 3794, 9957, 4724, 4587, 43500, 9957, 4032, 2423, 3056, 13672, 1829, 31439, 8717, 47432, 3660, 2423, 33546, 1211, 45164, 6225, 42213, 8315, 46740, 5513, 4724, 1829, 3555, 9566, 1211, 2423, 12185, 2423, 3056, 8717, 47432, 3660, 2423, 33546, 1211, 9673, 25720, 25724, 995, 10632, 44945, 24793, 1211, 44945, 47283, 3215, 47356, 5551, 2304, 12984, 37977, 4032, 44945, 47283, 3215, 9122, 8848, 23275, 2423, 1090, 45729, 4711, 16472, 13412, 16606, 21984, 37279, 6027, 7578], "avg_logprob": -0.21519182932258832, "compression_ratio": 1.755868544600939, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2870.39, "end": 2870.67, "word": "و", "probability": 0.40087890625}, {"start": 2870.67, "end": 2871.51, "word": " رأسين", "probability": 0.7919921875}, {"start": 2871.51, "end": 2872.57, "word": " و", "probability": 0.73828125}, {"start": 2872.57, "end": 2873.51, "word": " major", "probability": 0.62646484375}, {"start": 2873.51, "end": 2874.37, "word": " axis", "probability": 0.8876953125}, {"start": 2874.37, "end": 2874.97, "word": " و", "probability": 0.98779296875}, {"start": 2874.97, "end": 2875.45, "word": " minor", "probability": 0.96630859375}, {"start": 2875.45, "end": 2876.55, "word": " axis", "probability": 0.97998046875}, {"start": 2876.55, "end": 2877.39, "word": " محور", "probability": 0.9508463541666666}, {"start": 2877.39, "end": 2878.09, "word": " ثانوي", "probability": 0.9892578125}, {"start": 2878.09, "end": 2878.95, "word": " محور", "probability": 0.7810872395833334}, {"start": 2878.95, "end": 2879.83, "word": " رئيسي", "probability": 0.96728515625}, {"start": 2879.83, "end": 2881.01, "word": " رأسين", "probability": 0.9171142578125}, {"start": 2881.01, "end": 2882.53, "word": " بقرتين", "probability": 0.6943359375}, {"start": 2882.53, "end": 2883.03, "word": " و", "probability": 0.50244140625}, {"start": 2883.03, "end": 2883.19, "word": " ال", "probability": 0.67724609375}, {"start": 2883.19, "end": 2883.59, "word": " center", "probability": 0.74658203125}, {"start": 2883.59, "end": 2884.21, "word": " اللي", "probability": 0.841064453125}, {"start": 2884.21, "end": 2884.37, "word": " هو", "probability": 0.9833984375}, {"start": 2884.37, "end": 2884.79, "word": " نقطة", "probability": 0.982421875}, {"start": 2884.79, "end": 2885.25, "word": " الاصل", "probability": 0.86083984375}, {"start": 2885.25, "end": 2885.85, "word": " لو", "probability": 0.875}, {"start": 2885.85, "end": 2886.31, "word": " عملنا", "probability": 0.7890625}, {"start": 2886.31, "end": 2886.45, "word": " له", "probability": 0.7119140625}, {"start": 2886.45, "end": 2886.77, "word": " shift", "probability": 0.9619140625}, {"start": 2886.77, "end": 2887.41, "word": " بيبطل", "probability": 0.91396484375}, {"start": 2887.41, "end": 2887.57, "word": " ال", "probability": 0.341796875}, {"start": 2887.57, "end": 2887.71, "word": " seal", "probability": 0.1435546875}, {"start": 2887.71, "end": 2887.89, "word": " ال", "probability": 0.923828125}, {"start": 2887.89, "end": 2888.39, "word": " center", "probability": 0.87060546875}, {"start": 2888.39, "end": 2889.67, "word": " نقطة", "probability": 0.9703776041666666}, {"start": 2889.67, "end": 2890.61, "word": " الاصل", "probability": 0.8484700520833334}, {"start": 2890.61, "end": 2891.35, "word": " المرة", "probability": 0.87646484375}, {"start": 2891.35, "end": 2891.65, "word": " الجاية", "probability": 0.7377115885416666}, {"start": 2891.65, "end": 2892.15, "word": " بنكمل", "probability": 0.9205729166666666}, {"start": 2892.15, "end": 2892.51, "word": " بناخد", "probability": 0.8094075520833334}, {"start": 2892.51, "end": 2892.75, "word": " عليه", "probability": 0.94091796875}, {"start": 2892.75, "end": 2893.31, "word": " أمثلة", "probability": 0.935546875}, {"start": 2893.31, "end": 2893.75, "word": " و", "probability": 0.44580078125}, {"start": 2893.75, "end": 2894.19, "word": " بناخد", "probability": 0.9568684895833334}, {"start": 2894.19, "end": 2894.69, "word": " كذلك", "probability": 0.9793294270833334}, {"start": 2894.69, "end": 2894.89, "word": " ال", "probability": 0.63916015625}, {"start": 2894.89, "end": 2895.15, "word": " high", "probability": 0.291748046875}, {"start": 2895.15, "end": 2895.91, "word": " parabola", "probability": 0.7705078125}, {"start": 2895.91, "end": 2896.49, "word": " ان", "probability": 0.6357421875}, {"start": 2896.49, "end": 2896.89, "word": " شاء", "probability": 0.9609375}, {"start": 2896.89, "end": 2897.07, "word": " الله", "probability": 0.943359375}, {"start": 2897.07, "end": 2897.73, "word": " تعالى", "probability": 0.9500325520833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2898.47725, "duration_after_vad": 2788.1434687499896}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/VqqtIVINvlg_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/VqqtIVINvlg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0c79002991cc8747a028844659579aca9fc47e03
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/VqqtIVINvlg_postprocess.srt
@@ -0,0 +1,2104 @@
+1
+00:00:10,180 --> 00:00:15,240
+بسم الله الرحمن الرحيمنكمل الموضوع اللي ابتدأنا من
+
+2
+00:00:15,240 --> 00:00:21,380
+بارح ابتدأنا يوم أمس بالو ال connections in polar
+
+3
+00:00:21,380 --> 00:00:26,140
+coordinates و هو رسم القطوع المخرطية في الإحداثيات
+
+4
+00:00:26,140 --> 00:00:31,900
+القطبية و أخدنا على ذلك بالأمس ثلاثة أمثلة بيعطيني
+
+5
+00:00:31,900 --> 00:00:36,880
+بعض المعلوماتوبطلب ما هو شكل المعادلة في ال polar
+
+6
+00:00:36,880 --> 00:00:42,040
+corners اليوم العملية العكسية بيعطيني شكل المعادلة
+
+7
+00:00:42,040 --> 00:00:46,480
+و بطلب الأشياء الأخرى يبقى السؤال بيقول ما يأتي
+
+8
+00:00:46,480 --> 00:00:52,790
+sketch and classifyيبقى عليك ترسم القطعة المخلوطة
+
+9
+00:00:52,790 --> 00:00:58,350
+ثم تحدد من هو هذا القطعة المخلوطة هل هو ellipse و
+
+10
+00:00:58,350 --> 00:01:01,610
+لا parabola و لا hyperbola و لا غيره يبقى عليك
+
+11
+00:01:01,610 --> 00:01:07,570
+ترسم القطعة المخلوطة ثم تحدد
+
+12
+00:01:07,570 --> 00:01:14,820
+الرؤوس من القطعة المخلوطةcenters as well يبقى بدنا
+
+13
+00:01:14,820 --> 00:01:18,380
+المراكز لهذه القطور اللي بيقولي as well يعني ان
+
+14
+00:01:18,380 --> 00:01:26,080
+وجدت فمثلا ال Parabola هل إله center؟ Parabola إله
+
+15
+00:01:26,080 --> 00:01:30,260
+center؟ لا مالوش center لكن ال ellipse إله center
+
+16
+00:01:30,260 --> 00:01:34,330
+و لا Parabola إله centerيبقى إن كان برابولة
+
+17
+00:01:34,330 --> 00:01:37,390
+ماعنديش center إذا كان ellipse أو high برابولة
+
+18
+00:01:37,390 --> 00:01:41,070
+يبقى فيها عند ال center إذا إله center بدنا نعرف
+
+19
+00:01:41,070 --> 00:01:45,830
+قداش مقدار هذا ال center بيقول لأن the sketch was
+
+20
+00:01:45,830 --> 00:01:49,850
+only a directrix الدليل that corresponds to the
+
+21
+00:01:49,850 --> 00:01:53,970
+focus at the origin المناظر للبقرة اللي موجودة وام
+
+22
+00:01:53,970 --> 00:02:01,310
+في المركز وهات للبقرة الأخرى إن وجدت يعنيإذا المثل
+
+23
+00:02:01,310 --> 00:02:05,410
+مثل Parabola يبقى ليس لديه بُقرة أخرى، لكن إذا
+
+24
+00:02:05,410 --> 00:02:09,410
+المثل مثل Ellipse أو High Parabola يبقى لديه بُقرة
+
+25
+00:02:09,410 --> 00:02:14,150
+أخرى، يحتاج إلى هذه البُقرة الأخرى، يبقى بيعطيني
+
+26
+00:02:14,150 --> 00:02:17,630
+المعادلة و بطلب الشغلات اللي قلتها ال vertices
+
+27
+00:02:17,630 --> 00:02:22,640
+والcenterالبقرة الأخرى هيحط احدى البقرتين في ال
+
+28
+00:02:22,640 --> 00:02:26,640
+origin ترسم لي ال dialectics وما إلى ذلك يبقى
+
+29
+00:02:26,640 --> 00:02:30,740
+اعطاني مثل اقل ر تسوى تمانية على اتنين ناقص اتنين
+
+30
+00:02:30,740 --> 00:02:35,080
+sin زاوية theta يبقى لو نظرت لهذه المعادلة
+
+31
+00:02:35,080 --> 00:02:39,040
+والمعادلة اللى خدناها امبارح امبارح كان هنا مكان
+
+32
+00:02:39,040 --> 00:02:44,860
+الواحد قداش مكان اتنين قداش كان واحديبقى أول خطوة
+
+33
+00:02:44,860 --> 00:02:48,480
+بدك تعملها بدك تروح تحط المعادلة في ال standard
+
+34
+00:02:48,480 --> 00:02:53,140
+form standard form يعني يبدى الرقم هذا يكون واحد
+
+35
+00:02:53,140 --> 00:02:58,260
+صحيح اذا بروح نقسم كله من البس والمقام على كده اش
+
+36
+00:02:58,260 --> 00:03:04,700
+على اتنين يبقى بده يصير الحل على الشكل التالي ارضه
+
+37
+00:03:04,700 --> 00:03:12,090
+سوى اربع على واحد ناقص صيني الزاوية ثتربنذكر بشكل
+
+38
+00:03:12,090 --> 00:03:16,350
+المعادلة اللي كانت بهذا الشكل البارح يبقى المعادلة
+
+39
+00:03:16,350 --> 00:03:23,750
+كانت R تساوي K في E على 1 ناقص E في Sine زغية ثيتا
+
+40
+00:03:23,750 --> 00:03:27,950
+اللي هي المعادلة اللي أمنا إذا لو جيت قارنت ما بين
+
+41
+00:03:27,950 --> 00:03:32,700
+الاتنينهذا هيعطيني ان ال eccentricity ايه تساوي
+
+42
+00:03:32,700 --> 00:03:37,060
+كده؟ المعامل تبع ال sign اللي هو واحد، من اما ال
+
+43
+00:03:37,060 --> 00:03:43,080
+eccentricity واحد يبقى ال conic section عبارة عن
+
+44
+00:03:43,080 --> 00:03:47,000
+مين؟ his parabola
+
+45
+00:03:49,130 --> 00:03:53,930
+يبقى عرفت إن القطع المخروطة عندنا هو عبارة عن قطع
+
+46
+00:03:53,930 --> 00:04:00,510
+مكافئ بعد هيك بقدر أقوله الآن أنا عندي كمان K في E
+
+47
+00:04:00,510 --> 00:04:06,810
+بده يسوى من 4 يعني K في E أجه مكانها قداش 4 طب إيه
+
+48
+00:04:06,810 --> 00:04:14,040
+يعرفينها؟ يعني K في 1بدي يسوي اربعة يبقى ال K يسوي
+
+49
+00:04:14,040 --> 00:04:19,720
+قداش اربعة اذا معادلة ال directrix الله اعلم X
+
+50
+00:04:19,720 --> 00:04:25,020
+تسوي اربعة X تسوي سلب اربعة Y تسوي اربعة Y تسوي
+
+51
+00:04:25,020 --> 00:04:29,980
+سلب اربعة الله اعلم ابنجي لرسمتنا هذه حتى نحدد ما
+
+52
+00:04:29,980 --> 00:04:34,680
+هو شكل ال directrixبقوله كويس يبقى بروح برسم
+
+53
+00:04:34,680 --> 00:04:39,920
+المحاور و بروح بقول هذا theta تساوي zero و هذا
+
+54
+00:04:39,920 --> 00:04:46,960
+theta تساوي pi على اتنين و هنا ال focus at the
+
+55
+00:04:46,960 --> 00:04:55,030
+origin يبقى البقرة في المركزطب الكويس الان انا مش
+
+56
+00:04:55,030 --> 00:04:59,630
+عارف هل ال parabola هذا مفتوح لأعلى مفتوح لأسفل
+
+57
+00:04:59,630 --> 00:05:04,190
+مفتوح جهة اليمين مفتوح جهة الشمال فبرجع للمعادلة
+
+58
+00:05:04,190 --> 00:05:09,890
+المعادلة بدلالة مين اذا ده فوق ال axis هو محور Y
+
+59
+00:05:09,890 --> 00:05:16,510
+يبقى الرقم هتكون فوق قطعالإشارة اللي تسبق الصين
+
+60
+00:05:16,510 --> 00:05:22,090
+للإشارة يبقى ال directrix تحت يبقى بده يجينا ال
+
+61
+00:05:22,090 --> 00:05:27,570
+directrix بالشكل اللي عندنا هذا يبقى هذا الخط هو
+
+62
+00:05:27,570 --> 00:05:33,650
+ال directrix اللي هو y تساوي كده؟ سالب أربعة إذا
+
+63
+00:05:33,650 --> 00:05:39,550
+بروح بقوله هنا thing directrix
+
+64
+00:05:41,010 --> 00:05:48,550
+Y تساوي سالب أربعيبقى K هذه القيمة تبعتها هي قيمة
+
+65
+00:05:48,550 --> 00:05:52,230
+ال directrix لكن الإشارة بحددها من وين؟ بحددها من
+
+66
+00:05:52,230 --> 00:05:56,950
+خلال الرسمة فهذا الرسم بحددها من وين؟ من خلال شكل
+
+67
+00:05:56,950 --> 00:06:01,370
+المعادلة اللي عندنا بقدر أحدد الرسمة تبعته تماما
+
+68
+00:06:01,370 --> 00:06:05,950
+إذن هذا ال parabola مدام هذا directrix وهذه focus
+
+69
+00:06:05,950 --> 00:06:10,510
+إذن ال parabola بيكون من النصب الشكل هذا ال vertex
+
+70
+00:06:10,510 --> 00:06:16,190
+دي في نص المسافة وهيكون مفتوح لوين؟لأعلى بالشكل
+
+71
+00:06:16,190 --> 00:06:22,490
+اللي قدامنا هذا طيب نرجع الأن لالمطلوب قال sketch
+
+72
+00:06:22,490 --> 00:06:28,090
+رسم قال classify حدد لي من هو حدد يبقى أول مطلوبين
+
+73
+00:06:28,090 --> 00:06:32,370
+خلصنا منهم مطلب التاني قال هاتلي أحداثيات ال
+
+74
+00:06:32,370 --> 00:06:37,150
+vertices label the vertices ماعنديش vertices عندي
+
+75
+00:06:37,150 --> 00:06:44,060
+vertex واحدة بدي أعرف قداشي أحداثيات هذا الرأسمن
+
+76
+00:06:44,060 --> 00:06:48,660
+هنا إلى هنا يوجد اربعة نقطة
+
+77
+00:06:48,660 --> 00:06:51,960
+و من هنا إلى هنا يوجد اربعة نقطة و من هنا إلى هنا
+
+78
+00:06:51,960 --> 00:06:54,020
+يوجد اربعة نقطة و من هنا إلى هنا يوجد اربعة نقطة و
+
+79
+00:06:54,020 --> 00:06:54,980
+من هنا إلى هنا يوجد اربعة نقطة و من هنا إلى هنا
+
+80
+00:06:54,980 --> 00:06:58,420
+يوجد اربعة نقطة و من هنا إلى هنا يوجد اربعة نقطة و
+
+81
+00:06:58,420 --> 00:07:00,220
+من هنا إلى هنا يوجد اربعة نقطة و من هنا إلى هنا
+
+82
+00:07:00,220 --> 00:07:05,720
+يوجد اربعة نقطة و من هنا إلى هنا يوجد اربعة نقطة و
+
+83
+00:07:05,720 --> 00:07:07,860
+من هنا إلى هنا يوجد اربعة نقطة و من هنا إلى هنا
+
+84
+00:07:07,860 --> 00:07:09,520
+يوجد اربعة نقطة و من هنا إلى هنا يوجد اربعة نقطة و
+
+85
+00:07:09,520 --> 00:07:10,440
+من هنا إلى هنا يوجد اربعة نقطة و من هنا إلى هنا
+
+86
+00:07:10,440 --> 00:07:12,060
+يوجد اربعة نقطة و من هنا إلى هنا يوجد اربعة نقطة و
+
+87
+00:07:12,340 --> 00:07:16,880
+إذا من ال vertex اللي عندنا هذه بروح بقوله the
+
+88
+00:07:16,880 --> 00:07:27,760
+vertex is اللي هو h و k بدها تساوي اتنين و سالب by
+
+89
+00:07:27,760 --> 00:07:35,430
+على اتنين يبقى هذه اتنين و سالب by على اتنينيبقى
+
+90
+00:07:35,430 --> 00:07:38,390
+واني عرفت علشان ال parabola ال vertical تيجي في
+
+91
+00:07:38,390 --> 00:07:42,830
+النص ما بين ال directrix و ما بين ال focus طب لو
+
+92
+00:07:42,830 --> 00:07:47,380
+كان ellipse او high parabola بنفع احطها في النص؟لأ
+
+93
+00:07:47,380 --> 00:07:52,480
+وبالتالي بكتفكر في طريقة أخرى مشان الحصول على ال
+
+94
+00:07:52,480 --> 00:07:56,800
+vertex إذا أنا لعالي بروح بجيب الطريقة الأخرى ده
+
+95
+00:07:56,800 --> 00:08:01,100
+باللي أوصل لل ellipse و ال hyperbola فمثلا بقول
+
+96
+00:08:01,100 --> 00:08:06,520
+مشان أوصل لل vertex هذا بمشي زاوية جدا يعنيبنقص pi
+
+97
+00:08:06,520 --> 00:08:10,820
+على 2 بروح على معاجلة المنحنة بشيل theta و بحق
+
+98
+00:08:10,820 --> 00:08:19,220
+بدلها سالب pi على 2 بصير sign لسالب pi على 2يبقى
+
+99
+00:08:19,220 --> 00:08:23,880
+السالب برا مع السالب بصير موجة يبقى واحد زي ال
+
+100
+00:08:23,880 --> 00:08:28,860
+sign بي على اتنين بواحد يبقى اربعة على اتنين يبقى
+
+101
+00:08:28,860 --> 00:08:33,220
+باتنين نفس النتيجة اللي طلعناها هنا يبقى لو كانت
+
+102
+00:08:33,220 --> 00:08:37,280
+المسألة مسألة اخرى ellipse او hyperabula بشيل
+
+103
+00:08:37,280 --> 00:08:41,460
+الزاوية برجع بعوض بوين في المعادلة الأصلية بطلع
+
+104
+00:08:41,460 --> 00:08:45,900
+قيمة R في هذه الحالةإذا انت عرفت على ال vertex
+
+105
+00:08:45,900 --> 00:08:51,760
+يبقى خلاصنا كمان من ال vertex جل ال center as well
+
+106
+00:08:54,480 --> 00:08:58,340
+للبرابل ايه ال center؟ مالوش center يبقى خلاص مش
+
+107
+00:08:58,340 --> 00:09:01,280
+لازم لان هذا اللي قال لي ان وجد إذا في بدنية مش
+
+108
+00:09:01,280 --> 00:09:05,240
+موجود بلاك قال لي أنا عنده sketch ال directrix
+
+109
+00:09:05,240 --> 00:09:09,640
+رسمنا المنظر للدقرة في ال origin find the other
+
+110
+00:09:09,640 --> 00:09:13,580
+focus في عندي focus أخرى؟ ماعنديش لإن البرابل ب
+
+111
+00:09:13,580 --> 00:09:18,920
+focus واحدة فقط لغير يبقى انتهى حل السؤال حد أيه
+
+112
+00:09:18,920 --> 00:09:20,180
+اللي يستفسر هنا؟
+
+113
+00:09:24,630 --> 00:09:29,310
+بنفع تستخدم اللي بدكيها مدام معلومات أخدتها لكن
+
+114
+00:09:29,310 --> 00:09:34,290
+ليه عندي الحمد لله لا C ولا يلاقي انه E بواحد صحيح
+
+115
+00:09:34,290 --> 00:09:40,150
+جاهزة، مصبور؟ وماعنديش A هنا ال A في حالة ال A
+
+116
+00:09:40,150 --> 00:09:43,690
+لرسول الله ال Parabola، مصبور؟ يبقى السؤال في غير
+
+117
+00:09:43,690 --> 00:09:49,450
+محله، لما نوصل إليه أطلح اللي بدكيها يبقى مثال رقم
+
+118
+00:09:49,450 --> 00:09:54,960
+اتنين يبقى example two اللي هو نمرة Bنمر بي من
+
+119
+00:09:54,960 --> 00:10:03,900
+المثلة ارتو ساوي تلاتين عالمين على عشرة ناقص خمسة
+
+120
+00:10:03,900 --> 00:10:11,160
+في كوساين الزاوية فيها يبقى
+
+121
+00:10:11,160 --> 00:10:14,720
+اول شغلة بدي اعملها بدي احط المعادلة في ال
+
+122
+00:10:14,720 --> 00:10:21,190
+standard form يعني العشرة هذه مالهابدي أخليها واحد
+
+123
+00:10:21,190 --> 00:10:28,550
+يبقى بشيل السفر و خلصنا ولا لا؟ إيش حاجة سبب تشيل
+
+124
+00:10:28,550 --> 00:10:32,500
+السفر دي؟ ربما هذا سفر مهم جدا دي ربالكوالأن
+
+125
+00:10:32,500 --> 00:10:37,440
+الحسنة بعشري أمثالية، الحسنة واحدة حطت جدام الصفر
+
+126
+00:10:37,440 --> 00:10:43,320
+صاحبنا بصير عشرة، مظبوط؟ يبقى الحسنته بعشري
+
+127
+00:10:43,320 --> 00:10:48,640
+أمثالية، والسيئة بياحدة، وإن استغفرني يا عبدي،
+
+128
+00:10:48,640 --> 00:10:53,240
+غفرتها له، مظبوط؟ مش عاجزك، تعالى الرياضيات برضه
+
+129
+00:10:53,240 --> 00:10:58,380
+مشغلال، محمد بيرموسة الخوارزمي بقول إيه؟إذا كانت
+
+130
+00:10:58,380 --> 00:11:02,680
+المرأة او المرأة إذا كانت ذات الخلق النودي فهي
+
+131
+00:11:02,680 --> 00:11:08,580
+تساوي واحد صحيح وإذا كانت ذات جمال حطلك كمان صفر
+
+132
+00:11:08,580 --> 00:11:14,740
+قدام الواحداش بصير عشرة وإذا كانت صاحبة مال حط
+
+133
+00:11:14,740 --> 00:11:20,940
+كمان صفر بصير قداش مية وإذا كان ذات حسب ونسب حط
+
+134
+00:11:20,940 --> 00:11:24,760
+كمان صفر بصير المرأة عند محمد بن موسى الخبريني
+
+135
+00:11:24,760 --> 00:11:28,440
+تساوي الفإذا تحققت فيها الصفات الأربعة، إيش هو
+
+136
+00:11:28,440 --> 00:11:33,120
+بيقول بعد ذلك؟ فإن لم تكن المرأة ذات خلق ودين،
+
+137
+00:11:33,120 --> 00:11:38,740
+بنشيل الواحد، قداش مضال يبقى المرأة بدون خلق ودين
+
+138
+00:11:38,740 --> 00:11:43,580
+تساوي أصفارا، ماشي يا سيدي، يبقى هذا عندنا
+
+139
+00:11:43,580 --> 00:11:48,520
+كمسلمين، محمد بن موسى خارج من إنسان مسلم، تمام؟
+
+140
+00:11:48,520 --> 00:11:52,960
+يبقى هذه بس مجرد يعني مشان حكاية بموضوع الصخر هذا
+
+141
+00:11:53,520 --> 00:11:58,160
+طيب نرجع يبقى نروح نقسم كله على مين؟ على عشرة إذا
+
+142
+00:11:58,160 --> 00:12:04,680
+لو قسمنا على عشرة R تساوي تلاتة على واحد ناقص نص
+
+143
+00:12:04,680 --> 00:12:10,900
+في cosine الزاوية تيتا يبقى هذا بده يعطيلك ان ال E
+
+144
+00:12:10,900 --> 00:12:21,330
+قداش تساويمص ماله اقل من واحد صحيح اقل من واحد
+
+145
+00:12:21,330 --> 00:12:25,330
+صحيح و اكبر من zero يبقى ال connection عبارة عن
+
+146
+00:12:25,330 --> 00:12:32,850
+يبقى هذا بدي اعطيك ال connection is
+
+147
+00:12:32,850 --> 00:12:34,790
+an ellipse
+
+148
+00:12:37,060 --> 00:12:42,600
+مش هاجدركوا بس عندك كمان ال K في ال E بدري ساوي
+
+149
+00:12:42,600 --> 00:12:51,620
+تلاتة يبقى ال K في نص بدري ساوي تلاتة يبقى K تساوي
+
+150
+00:12:51,620 --> 00:12:57,650
+ستةكيف تسوى 6 هذا لهو ال directrix بس احنا مش
+
+151
+00:12:57,650 --> 00:13:03,010
+عارفين هو X ولا Y و هل هو السلب او الموجب اذا برجع
+
+152
+00:13:03,010 --> 00:13:08,030
+لمين للمعادلة اللي حطناها في ال standard 4 مكتوبة
+
+153
+00:13:08,030 --> 00:13:13,000
+بشكل مينأذا الفوك ال axis أو ال major axis هو محور
+
+154
+00:13:13,000 --> 00:13:18,640
+X الانشارة للقصين بالسلب يبقى direct X جاييني وين؟
+
+155
+00:13:18,640 --> 00:13:24,840
+على الشمال يبقى لو روحت و رسمت هيك المحور بقى بقول
+
+156
+00:13:24,840 --> 00:13:32,360
+هذا محور X هذا محور Y هذه هي ال focus at the
+
+157
+00:13:32,360 --> 00:13:41,700
+origin يبقى البقرة في المركزالـ Directrix X يساوي
+
+158
+00:13:41,700 --> 00:13:47,360
+ستة يبقى كونها السالب يجيني على الشمال يبقى لو جيت
+
+159
+00:13:47,360 --> 00:13:52,000
+هنا قولنا هذا هو ال Directrix اللي عندنا بالشكل
+
+160
+00:13:52,000 --> 00:13:59,940
+هذا يبقى هذا هو ال X يساوي سالب ستة بالشكل اللي
+
+161
+00:13:59,940 --> 00:14:06,180
+عندنا هذا يبقى سالب ستة هذا mainly هو ال Directrix
+
+162
+00:14:10,480 --> 00:14:14,700
+الان ال vertex سبعة ال ellipse بدا تكون موجودة ما
+
+163
+00:14:14,700 --> 00:14:21,660
+بين ال focus و ال directrix ماين ال focus بده يبجي
+
+164
+00:14:21,660 --> 00:14:25,620
+في الداخل يبجي بناء عليه ال ellipse بده يصير
+
+165
+00:14:25,620 --> 00:14:31,360
+بالشكل اللي عندنا هذا هيك الشكل هذا الشكل اللي
+
+166
+00:14:31,360 --> 00:14:37,440
+عندنا هذاطبعا نجي نسترسل مع السؤال السؤال قال
+
+167
+00:14:37,440 --> 00:14:42,120
+sketch بنقوله رسمنا حددنا ال connection حددنا
+
+168
+00:14:42,120 --> 00:14:48,180
+بعدين قال هات لل vertices إذا بد ال vertex الأولى
+
+169
+00:14:48,180 --> 00:14:54,640
+هذه وبد ال vertex التاني اللى عندنا هذا طب مش
+
+170
+00:14:54,640 --> 00:14:58,820
+هنجيب ال two vertices قداش بده أحط theta
+
+171
+00:15:01,490 --> 00:15:04,690
+بدي واحد يجيب، بس بدي واحد يرفع يدي، بديش يجيب
+
+172
+00:15:04,690 --> 00:15:12,450
+جماعية جدّا كويس يبقى بدي أحط θ تساوي زيرو والتاني
+
+173
+00:15:12,450 --> 00:15:19,730
+بدي ألف أحط θ تساوي باي فبروح بقول هنا to get the
+
+174
+00:15:19,730 --> 00:15:31,270
+vertices put حطلي θ تساوي زيرو and θ تساوي باييبقى
+
+175
+00:15:31,270 --> 00:15:37,350
+نمسك النقطة الأولى لو كانت ثيتا تساوي زيرو
+
+176
+00:15:41,080 --> 00:15:48,700
+بدي أشيل θ و أحط مكانها 0 يبقى ال R يبقى 30 عشرة
+
+177
+00:15:48,700 --> 00:15:55,360
+ناقص خمسة كوصين صفر كوصين صفر بقداش؟ بواحد بيبقى
+
+178
+00:15:55,360 --> 00:16:01,640
+عشرة ناقص خمسة خمسة تلاتين عشرة خمسة يساوي كداش؟
+
+179
+00:16:01,640 --> 00:16:09,060
+ستة إذا صار إحداث النقطة هذه هو 6 و 0بعد ذلك لو
+
+180
+00:16:09,060 --> 00:16:17,780
+كانت θ تساوي باي يبقى then الار تساوي تلاتين ع
+
+181
+00:16:17,780 --> 00:16:22,320
+العشر اناقص خمسة cosine باي ويساوي
+
+182
+00:16:25,350 --> 00:16:31,030
+قداش سالب واحد مع السلب بيصير موجة بيصير عشرة زائد
+
+183
+00:16:31,030 --> 00:16:36,970
+خمسة خمستاشر سلاتين على خمستاشر فيها قداش لإتنين
+
+184
+00:16:36,970 --> 00:16:42,850
+يبقى بيصير ال vertex هذه هي اتنين و باي الشكل اللي
+
+185
+00:16:42,850 --> 00:16:51,290
+عندنا هذايبقى بروح بقوله the vertices are الأولى
+
+186
+00:16:51,290 --> 00:16:59,930
+هى 6 و 0 التانية هى 2 و by خلصنا المطلوب تبع ال
+
+187
+00:16:59,930 --> 00:17:05,680
+vertices جلب ال decentralized as wellالسينتر انوجد
+
+188
+00:17:05,680 --> 00:17:11,740
+يبقى السينتر بيجي وين؟ في المنتصر يبقى هذا هو
+
+189
+00:17:11,740 --> 00:17:19,760
+السينتر السؤال كيف بدنا نحصل على السينتر يا أحمد؟
+
+190
+00:17:19,760 --> 00:17:22,660
+طبعا أنت لازم تسأل السؤال؟ أه متاكد، سألت عن ايه
+
+191
+00:17:22,660 --> 00:17:25,700
+قبل شوية في ال Parabola؟ هاي الهي لازم تتنافى ال
+
+192
+00:17:25,700 --> 00:17:27,980
+ellipse جديش؟
+
+193
+00:17:30,870 --> 00:17:36,510
+تنين ايه المسافة دي كلها؟ لو قسمتها على اتنين بحصل
+
+194
+00:17:36,510 --> 00:17:43,210
+على ايه؟ مظبوط يبقى بيصير عندنا اتنين ايه يساوي؟
+
+195
+00:17:43,210 --> 00:17:47,250
+المسافة من هنا إلى هنا كده ايش؟ ستة والمسافة من
+
+196
+00:17:47,250 --> 00:17:52,590
+هنا إلى هنا كده ايش؟ اتنين يبقى هذا يبدو يساوي ستة
+
+197
+00:17:52,590 --> 00:17:59,010
+زائد اتنين اللي هو تساوي تمانية يبقى الايه تساوي
+
+198
+00:17:59,010 --> 00:18:05,690
+اربعيبقى من هنا لهنا كلها اربع و هذه من هنا لهنا
+
+199
+00:18:05,690 --> 00:18:10,850
+اربع طب لما تكون هذه اتنين جدش بيظهر ان هنا اتنين
+
+200
+00:18:10,850 --> 00:18:15,550
+يبقى المسافة هذه كلها بيصير اتنين اذا بناء ان عليه
+
+201
+00:18:15,550 --> 00:18:23,850
+بقدر اجيب ال center بروح بقوله the center is اتنين
+
+202
+00:18:23,850 --> 00:18:29,220
+و جدش theta على هذا الخطزيرو يبقى اتنين وزيرو يبقى
+
+203
+00:18:29,220 --> 00:18:34,600
+صارة النقطة هادى اتنين وزيرو خلصنا ال center اللى
+
+204
+00:18:34,600 --> 00:18:39,460
+جال عليه بعدها قال لي sketch the directrix رسمنك و
+
+205
+00:18:39,460 --> 00:18:43,720
+رسمنا ال directrix اخر حاجة قال لي هاتلي البقرة
+
+206
+00:18:43,720 --> 00:18:49,880
+الأخرىبقول البقرة الأخرى بُعدها عن ال center مثل
+
+207
+00:18:49,880 --> 00:18:54,600
+بُعد البقرة هذه يبقى بادي بقول هذه بتابعه دي اتنين
+
+208
+00:18:54,600 --> 00:18:59,520
+اذا بدها تجين البقرة هذه و البُعد هذا كذلك جداش
+
+209
+00:18:59,520 --> 00:19:08,140
+اتنين بروح بقوله هنا the other focus البقرة الأخرى
+
+210
+00:19:08,140 --> 00:19:13,740
+isأربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة
+
+211
+00:19:13,740 --> 00:19:20,380
+اربعة اربعة اربعة اربعة اربع اربع اربع اربع اربع
+
+212
+00:19:20,380 --> 00:19:22,700
+اربع اربع اربع اربع اربع اربع اربع اربع اربع اربع
+
+213
+00:19:22,700 --> 00:19:24,200
+اربع اربع اربع اربع اربع اربع اربع اربع اربع اربع
+
+214
+00:19:24,200 --> 00:19:28,240
+اربع اربع اربع اربع اربع اربع اربع اربع اربع اربع
+
+215
+00:19:28,240 --> 00:19:34,420
+اربع اربع اربع اربع اربع اربع اربع ارب
+
+216
+00:19:39,590 --> 00:19:46,390
+نمر السيد بيقول الارتو ساوي اربعة
+
+217
+00:19:46,390 --> 00:19:52,950
+على اتنين ناقص صين ثيتا اربعة على اتنين ناقص صين
+
+218
+00:19:52,950 --> 00:19:58,440
+الزوايابقوله أول شغلة بدنا نعملها بدنا نحط
+
+219
+00:19:58,440 --> 00:20:03,720
+المعادلة في ال standard form يبقى ال R تسابق نقسم
+
+220
+00:20:03,720 --> 00:20:10,140
+كله من البصر و المقام على 2 بصير 2 على 1 ناقص نص
+
+221
+00:20:10,140 --> 00:20:16,640
+في صيني الزاوية ده هذا بده يعطيلك ان E تساوي نص و
+
+222
+00:20:16,640 --> 00:20:21,280
+النص أقل من الواحد الصحيح يبقى ال connection
+
+223
+00:20:23,810 --> 00:20:33,850
+is an ellipse يبقى كمان هذا هو قطع ناقص تمام عندك
+
+224
+00:20:33,850 --> 00:20:41,170
+ال K في ال E بده يسوى قداش اتنين يبقى ال K في النص
+
+225
+00:20:41,170 --> 00:20:48,990
+بده يسوى اتنين يبقى ال K يسوى قداش يسوى اربعالـ K
+
+226
+00:20:48,990 --> 00:20:53,270
+يساوي اربعة هذا هو البرادكس بس مابعرف هال X تساوي
+
+227
+00:20:53,270 --> 00:20:56,510
+زادة او ناقص اربعة و الله Y تساوي زادة او ناقص
+
+228
+00:20:56,510 --> 00:21:01,900
+اربعةبحكم على ذلك من خلال شكل المعادلة اللي عندنا
+
+229
+00:21:01,900 --> 00:21:07,080
+بجي بقوله كويس ايه المحور اللي عندنا الشكل هذا
+
+230
+00:21:07,080 --> 00:21:15,020
+يبقى هذا محور X او θ تساوي Zero و هذا θ تساوي Pi
+
+231
+00:21:15,020 --> 00:21:22,600
+على اتنين هنا التقاطع ال centerAt the origin يبقى
+
+232
+00:21:22,600 --> 00:21:27,020
+هذا هو الـ Center بعدين المعادلة المعادلة مكتوبة
+
+233
+00:21:27,020 --> 00:21:35,060
+بدلالة الصين يبقى ال focal axis هو محور Y هذا ال
+
+234
+00:21:35,060 --> 00:21:38,520
+focus
+
+235
+00:21:38,520 --> 00:21:45,550
+صحيح هذا ال focusيبقى ال focus at the origin يبقى
+
+236
+00:21:45,550 --> 00:21:51,410
+هذه هي ال focus at the origin تمام؟ ابنجي نرجع
+
+237
+00:21:51,410 --> 00:21:55,770
+للمعادلة اللي عندنا المعادلة مكتوبة بدلالة الصعي
+
+238
+00:21:55,770 --> 00:22:01,390
+يبقى الفوك ال axis هو محوريبقى انسى محوركس تمام
+
+239
+00:22:01,390 --> 00:22:05,910
+الإشارة اللي عندنا من بالسالب يبقى بدى يكون ال
+
+240
+00:22:05,910 --> 00:22:11,070
+bioelectrics أسفل ال focus اللي عندنا يعني يبقى
+
+241
+00:22:11,070 --> 00:22:17,290
+هذا بدى يكون ال bioelectrics المعادلة تبعه y تساوي
+
+242
+00:22:17,290 --> 00:22:24,430
+كده؟ سالب أربعة طيب إذا ال ellipse هذا بدى كله فوق
+
+243
+00:22:24,430 --> 00:22:30,150
+كله تقريبا تمامطيب بعدين بقوله مادام ليه فوق يبقى
+
+244
+00:22:30,150 --> 00:22:36,350
+أحطها في النص هنا؟ أحطها في النص ما بين ال focus و
+
+245
+00:22:36,350 --> 00:22:39,470
+ما بين ال direction؟ أحط ال verdict؟ لأ ليس
+
+246
+00:22:39,470 --> 00:22:44,390
+بالضرورة ليس إنه أنه ellipse وليس parabola تمام؟
+
+247
+00:22:44,390 --> 00:22:49,990
+إذا لو روحت رسمته، هياخد الشكل التالي، الشكل اللي
+
+248
+00:22:49,990 --> 00:22:50,890
+عنها ذلك
+
+249
+00:23:01,250 --> 00:23:05,630
+يبقى هذا الـ main هذا ال ellipse اللي عندنا بهذا
+
+250
+00:23:05,630 --> 00:23:14,690
+الشكل طيب
+
+251
+00:23:14,690 --> 00:23:19,970
+نكمل
+
+252
+00:23:19,970 --> 00:23:25,110
+الشغل تبعنا يبقى جيبنا كيه و رسمنا و ال directrix
+
+253
+00:23:25,110 --> 00:23:29,430
+و الرسمة و ما إلى ذلك يبقى classify و sketch
+
+254
+00:23:29,430 --> 00:23:34,920
+جاهزينقال هاتل ال vertices إذا بدنا ال vertex اللي
+
+255
+00:23:34,920 --> 00:23:39,880
+عندنا هذه و ال vertex اللي عندنا هذه يبقى مشان
+
+256
+00:23:39,880 --> 00:23:46,380
+نحصل على هتين أو على هذين الرأسين اقترحوا علينا
+
+257
+00:23:46,380 --> 00:23:50,920
+كده حطيته ممتاز
+
+258
+00:23:50,920 --> 00:23:54,900
+يبقى باية على اتنين و سالب باية على اتنين أو باية
+
+259
+00:23:54,900 --> 00:23:58,440
+على اتنين و تلاتة باية على اتنين هذه و هذه السيانة
+
+260
+00:23:58,440 --> 00:24:05,350
+بتخرجش عنناإذا بدأت يقول لو كانت ثيتا تساوي سالب
+
+261
+00:24:05,350 --> 00:24:12,770
+باي على اتنينبنعوض في المعادلة الأصلية أو المعادلة
+
+262
+00:24:12,770 --> 00:24:18,990
+الجديدة سيان يبقى الار بده يساوي اربعة على اتنين
+
+263
+00:24:18,990 --> 00:24:26,670
+ماقص sign لسالب باي على اتنين يبقى هذا الكلام بده
+
+264
+00:24:26,670 --> 00:24:33,270
+يساوي اربعة على sign odd يبقى السالب برا وهذا يصبح
+
+265
+00:24:33,270 --> 00:24:39,240
+واحد اتنين زاد واحد يبقى تلاتةإذا صار الإحداث يتبع
+
+266
+00:24:39,240 --> 00:24:45,900
+النقطة هذه هو أربع على تلاتة و باي على اتنين بس
+
+267
+00:24:45,900 --> 00:24:53,800
+بالسالب تمام؟ بعد ذلك بدا بياخد لو كانت ثيتا if
+
+268
+00:24:53,800 --> 00:25:00,970
+ثيتا تسوى باي على اتنين thenالارتو ساوي اللي هو من
+
+269
+00:25:00,970 --> 00:25:08,190
+اربعة على اتنين ناقص sign باية على اتنين اللي هي
+
+270
+00:25:08,190 --> 00:25:13,570
+واحد يبقى اتنين ناقص واحد يساوي واحد يبقى الارتو
+
+271
+00:25:13,570 --> 00:25:18,190
+ساوي اربعة يبقى بناء ان انا عليه بقدر اقول له that
+
+272
+00:25:19,930 --> 00:25:26,530
+vertices A الأولى اربعة تلاتة و سالب باي على اتنين
+
+273
+00:25:26,530 --> 00:25:33,850
+التانية اربعة و باي على اتنين اذا ال vertex اللى
+
+274
+00:25:33,850 --> 00:25:42,790
+فوق هذه عند النقطة هذه اللى هى اربعة ومين و باي
+
+275
+00:25:42,790 --> 00:25:49,110
+على اتنينإذا خلصنا من ال vertices نجي لل centers
+
+276
+00:25:49,110 --> 00:25:55,270
+ال center بدي يجي في المنتصف هنا يبقى هذا بدي يكون
+
+277
+00:25:55,270 --> 00:26:01,850
+ال center بد الإحداثي تبع ال center يعني أروح أشيل
+
+278
+00:26:01,850 --> 00:26:07,180
+theta و أحط pi على 2 بنفعلأ، ما هو بوي على اتنين
+
+279
+00:26:07,180 --> 00:26:11,940
+صح، بس هالنقطة دي تقع على محيط الالف؟ لأ، يبقى
+
+280
+00:26:11,940 --> 00:26:16,580
+كلامنا غلط، هذا مش صحيح، يبقى الصحيح ان انا اروح
+
+281
+00:26:16,580 --> 00:26:21,890
+من نفس الفكرة، احسبله من؟ قداش اتنين ايه هذه؟يبقى
+
+282
+00:26:21,890 --> 00:26:28,050
+باجي بقوله اتنين ايه يساوي من هنا لهنا اربعة ومن
+
+283
+00:26:28,050 --> 00:26:33,650
+هنا لهنا كده؟ اربعة على تلاتة يبقى اربعة زائد
+
+284
+00:26:33,650 --> 00:26:39,410
+اربعة على تلاتة ويساوي ستاشر على تلاتة يبقى بناء
+
+285
+00:26:39,410 --> 00:26:45,210
+عليه ال ايه بتساوي كده؟تمنية على تلاتة يبقى
+
+286
+00:26:45,210 --> 00:26:49,770
+المسافة من هنا لهنا تمانية على تلاتة والمسافة من
+
+287
+00:26:49,770 --> 00:26:55,230
+هنا لهنا تمانية على تلاتة اذا ال C اللي هو بعض ال
+
+288
+00:26:55,230 --> 00:27:03,010
+focus عن المركز يبقى C هذا بدي اعطيك انه C تساوي
+
+289
+00:27:03,010 --> 00:27:09,030
+تمانية على تلاتةنقص الجزء اللي تحت اللي هو أربعة
+
+290
+00:27:09,030 --> 00:27:15,430
+على تلاتة ويساوي أربعة على تلاتة إذا المسافة هذه
+
+291
+00:27:15,430 --> 00:27:21,070
+كلها كم؟ أربعة على تلاتة إذا ال center صار الإحداث
+
+292
+00:27:21,070 --> 00:27:28,430
+تابعه هو أربعة على تلاتة وθيتا كم؟ Levi على اتنين
+
+293
+00:27:28,430 --> 00:27:31,270
+بروح بقوله the center
+
+294
+00:27:34,530 --> 00:27:41,670
+أربع على تلاتة و باي على اتنين يبقى خلصنا له كمان
+
+295
+00:27:41,670 --> 00:27:50,930
+ال center يبقى
+
+296
+00:27:50,930 --> 00:27:58,970
+يبقى البقرة الأخرى بدأ تيجي هنايبقى المسافة هذه جد
+
+297
+00:27:58,970 --> 00:28:03,350
+المسافة هذه بالضبط تماما، إذا هذه قداش كمان يا
+
+298
+00:28:03,350 --> 00:28:08,570
+شباب؟ أربعة على تلاتة، إذا باجي بقوله the other
+
+299
+00:28:08,570 --> 00:28:09,330
+focus
+
+300
+00:28:15,620 --> 00:28:21,400
+اللي هو تمانية على او خليها بالتفصيل اربعة على
+
+301
+00:28:21,400 --> 00:28:26,680
+تلاتة زائد اربعة تلاتة و باي على اتنين اللي هو
+
+302
+00:28:26,680 --> 00:28:32,720
+تمانية على تلاتة و باي على اتنين انتهينا من المثال
+
+303
+00:28:32,720 --> 00:28:39,620
+حاجة فيكوا لو هي تساول هنا؟ خلاص؟يبقى حتى الآن
+
+304
+00:28:39,620 --> 00:28:44,680
+انتهينا من القطوع المخروطية الثلاثة في ال polar
+
+305
+00:28:44,680 --> 00:28:48,080
+coordinates اللي هي ال parabola و ال ellipse و ال
+
+306
+00:28:48,080 --> 00:28:54,980
+high parabola بدنا نروح لباقي القطوع المخروطية بقى
+
+307
+00:28:54,980 --> 00:29:01,940
+عندنا قطعان مخروطيان القطع الأول هو الخط المستقيم
+
+308
+00:29:01,940 --> 00:29:10,010
+أو ال line والقطع الثاني هو الدائرةيبقى الآن بدنا
+
+309
+00:29:10,010 --> 00:29:17,610
+نيجي لل lines الخطوط المستقيمة لو جيت قلت طرد عندي
+
+310
+00:29:17,610 --> 00:29:23,810
+هاي المحاور I theta تساوي zero و I theta تساوي باي
+
+311
+00:29:23,810 --> 00:29:29,850
+على اتنين روحنا رسمنا الخط لأن مين ما يكون الكون
+
+312
+00:29:29,850 --> 00:29:36,340
+هذا شكله كان بالشكل هذا اللي هو ال line البنبحث عن
+
+313
+00:29:36,340 --> 00:29:42,820
+معادلة هذا ال line باجي
+
+314
+00:29:42,820 --> 00:29:49,280
+من نقطة الأصل و بنزل عمود على هذا الخط العمود هذا
+
+315
+00:29:49,280 --> 00:29:55,020
+هو أقصر مسافة ما بين الخط المستقيم و نقطة الأصل
+
+316
+00:29:55,020 --> 00:30:01,840
+هروح أسميها R naughtأرنود خلتها تعملي الزاوية
+
+317
+00:30:01,840 --> 00:30:07,800
+اسمها theta node مع ال polar axis أو ال initial
+
+318
+00:30:07,800 --> 00:30:16,500
+ray يبقى صار إحداث النقطة هذه هي عبارة عن r node و
+
+319
+00:30:16,500 --> 00:30:22,890
+theta node تمام؟مشان اجيب معادلة هذا الخط بدي اي
+
+320
+00:30:22,890 --> 00:30:28,550
+نقطة تقع على هذا الخط المستقيم فمثلا لو جيتك و
+
+321
+00:30:28,550 --> 00:30:35,350
+قولت خد النقطة هذه مثلا في R و Theta بدنا نعرف وين
+
+322
+00:30:35,350 --> 00:30:40,790
+ال R و وين ال Theta فمن النقطة هذه بنروح نوصل لوين
+
+323
+00:30:40,790 --> 00:30:48,450
+لنقطة الاصل بالشكل اللي عندنا هذا كويس
+
+324
+00:30:48,980 --> 00:30:56,600
+يبقى هذا الخط الغامق هسميه مين؟ هسميه R R هدعم
+
+325
+00:30:56,600 --> 00:31:03,220
+اللي مع ال polar axis زاوية مقدرها كده؟ فتا إذا
+
+326
+00:31:03,220 --> 00:31:08,200
+الزاوية هذه ههه اللي محصورة ما بين الاتنين هدول
+
+327
+00:31:08,200 --> 00:31:13,580
+عبارة عن مين؟ ثيتا ناقص ثيتانود يبقى ثيتا ناقص
+
+328
+00:31:13,580 --> 00:31:17,770
+ثيتانود اللي هي الزاوية اللي عندنا هذهيبقى صرفيا
+
+329
+00:31:17,770 --> 00:31:22,670
+عندي مثلث قائم الزاوية هاي الزاوية القائمة وهذا θ
+
+330
+00:31:22,670 --> 00:31:29,070
+نقص θ node وهذا بلع وهذا بلع معروفين هذا R وهذا R
+
+331
+00:31:29,070 --> 00:31:35,650
+node يبقى بقدر اقوله cosine الزاوية θ نقص θ node
+
+332
+00:31:35,650 --> 00:31:43,060
+يساوي المجاور R node على ال water اللي هو Rيبقى
+
+333
+00:31:43,060 --> 00:31:51,060
+بناء عليه لو روح ضرر ضرب تبادل يبقى R cos θ- θ
+
+334
+00:31:51,060 --> 00:32:00,620
+node يسوى R node هذه ال equation of a line in
+
+335
+00:32:00,620 --> 00:32:03,960
+polar coordinates
+
+336
+00:32:07,060 --> 00:32:10,460
+يبقى هذه معادلة الخط المستقيم في الإحداثيات
+
+337
+00:32:10,460 --> 00:32:15,660
+القطبية بدنا نيجي أخر حاجة اللي هي ال circles
+
+338
+00:32:15,660 --> 00:32:23,300
+الدوائر كويس بنفس الطريقة بدنا نروح نجيب معادلة
+
+339
+00:32:23,300 --> 00:32:28,310
+الدائرةيبقى مشان نجيب معاية الدائرة بنروح نقول
+
+340
+00:32:28,310 --> 00:32:34,910
+بنفس الفكرة هذا θ تساوي zero و هذا θ تساوي πي على
+
+341
+00:32:34,910 --> 00:32:40,390
+اتنين و روحنا رسمنا الدائرة فكانت الدائرة على
+
+342
+00:32:40,390 --> 00:32:46,890
+الشكل اللي عندنا هذاتمام؟ روحنا للمركز تبع هذه
+
+343
+00:32:46,890 --> 00:32:52,590
+الدائرة وليكن النقطة اللي عندنا هذه وصلنا من مركز
+
+344
+00:32:52,590 --> 00:33:02,130
+الدائرة إلى نقطة الأصل فسميته هذا هو R0 أخدت أي
+
+345
+00:33:02,130 --> 00:33:08,530
+نقطة موجودة على محيط الدائرة وليكن النقطة هذه يبقى
+
+346
+00:33:08,530 --> 00:33:17,690
+هذه سميتها PR وθوصلت من النقطة هذه إلى نقطة الأصل
+
+347
+00:33:17,690 --> 00:33:25,090
+الشكل اللي عندنا هنا رحت سميت هذا الخط اللي هو R
+
+348
+00:33:25,090 --> 00:33:31,070
+الزاوية اللي عملها لهذه كلها الزاوية ثيتا هذه
+
+349
+00:33:31,070 --> 00:33:38,620
+الزاوية الصغيرة لثيتا نودإذا صارت الزاوية المحصورة
+
+350
+00:33:38,620 --> 00:33:47,540
+ما بين الاتنين هذه التي هي θ ناقص θ نوت وصلت من
+
+351
+00:33:47,540 --> 00:33:53,760
+النقطة اللي عندنا إلى ال center هذا شو يمثل الخط
+
+352
+00:33:53,760 --> 00:34:02,700
+اللي أذك بالنسبة للدائرة نص القدر هسميه aطبعا إذا
+
+353
+00:34:02,700 --> 00:34:08,600
+معادلة الدائرة هذه بدي أجيبها من وين؟ من قاعدة GU
+
+354
+00:34:08,600 --> 00:34:14,220
+بالتمام ال law of cosine لآخر نقطة نظرية خدناها في
+
+355
+00:34:14,220 --> 00:34:18,740
+section 1,3 في الcalculusية و اللي خدتها برضه في
+
+356
+00:34:18,740 --> 00:34:24,710
+الثانوية طبعا نقولك كيف؟لو كان عندى هى خطين
+
+357
+00:34:24,710 --> 00:34:30,230
+مستقيمين حصروا بينهم زاوية وعيسى اليمين الزاوية
+
+358
+00:34:30,230 --> 00:34:34,930
+اللى عندنا هنى بدي جيب تمام الزاوية هدى بقوله جيب
+
+359
+00:34:34,930 --> 00:34:39,530
+تمام الزاوية هدى و الساوي اتبلعها ده تربيع زاد
+
+360
+00:34:39,530 --> 00:34:44,230
+اتبلعها ده تربيع نقص اتبلعها ده تربيع على اتنين
+
+361
+00:34:44,230 --> 00:34:50,810
+حاصل ضربه هنا مظبوط يبقى باجى على بلعي الزاوية وين
+
+362
+00:34:50,810 --> 00:34:57,380
+بلعي الزاوية؟اي واحد وهذا الثاني يبقى باجي بقوله
+
+363
+00:34:57,380 --> 00:35:06,440
+cosine θ ناقص θ node يساوي r تربيع زائد r node
+
+364
+00:35:06,440 --> 00:35:17,040
+تربيع ناقص a تربيع على الإتنين r node في a أي مثلث
+
+365
+00:35:17,040 --> 00:35:21,760
+مين ما يكون شكله يكونباجي بقول مربع الضلع الجيب
+
+366
+00:35:21,760 --> 00:35:25,840
+التمام يسمى مربع الضلع الأول زي مربع الضلع الثاني
+
+367
+00:35:25,840 --> 00:35:30,180
+اللي هم عملولي الزاوية ناقص الضلع مربع الضلع
+
+368
+00:35:30,180 --> 00:35:36,060
+المقابل لزاوية على اتنين حاصل ضرب ضلعها على اتنين
+
+369
+00:35:36,060 --> 00:35:43,140
+R node R لو ضربنا ضرب تبادل يصير اتنين R node R في
+
+370
+00:35:43,140 --> 00:35:43,640
+cosine
+
+371
+00:35:52,640 --> 00:36:00,710
+أو المعادلة هذه ممكن احطها على الشكل التاليزائد R
+
+372
+00:36:00,710 --> 00:36:08,990
+نود تربية ناقص اتنين R نود R في Cos θ ناقص θ نود
+
+373
+00:36:08,990 --> 00:36:16,330
+كله بده يسوي تربية يبقى هذه معادلة الدائرة في
+
+374
+00:36:16,330 --> 00:36:21,710
+الصورة اللي قدامنا هذه تمام؟ بدنا نروح ناخد حالات
+
+375
+00:36:21,710 --> 00:36:27,870
+خاصة لهذه الدائرةلو جيت قلت هي المحاور الشكل اللي
+
+376
+00:36:27,870 --> 00:36:33,670
+عندنا هذا هيك و قلت هذا θ تسوى zero و هذا θ يسوى
+
+377
+00:36:33,670 --> 00:36:40,050
+pi على اتنين جيت على الدائرة دي و خلتها تمر بنقطة
+
+378
+00:36:40,050 --> 00:36:44,570
+الأصل يعني صارت بالشكل اللي عندنا هذا هيك
+
+379
+00:36:48,820 --> 00:36:53,900
+يبقى صار هذا شكل الدائرة، يبقى هذا هو ال center
+
+380
+00:36:53,900 --> 00:37:00,140
+تبعها السؤال لكم، هذا إيش يعتبر بالنسبة للدائرة؟
+
+381
+00:37:00,140 --> 00:37:06,420
+نصف الخضراء، طب شو العلاقة بينه وبين أرنود؟ سيصيب
+
+382
+00:37:06,420 --> 00:37:12,480
+هو نفسه، تمام؟ يبقى بروح بقوله هنا، special cases
+
+383
+00:37:13,340 --> 00:37:22,560
+Special cases حالات خاصة نمر واحد if the circle
+
+384
+00:37:22,560 --> 00:37:37,520
+passes through the origin then ال R node بده يساوي
+
+385
+00:37:37,520 --> 00:37:45,370
+A لما يساوي A هذا بده يعطيكبالله لان هذي R نود
+
+386
+00:37:45,370 --> 00:37:51,210
+هوديها وين عند ال A نود يبقى بتروح شو بيبقى لاندي؟
+
+387
+00:37:51,210 --> 00:38:00,330
+بيبقى لاندي R تربية ناقص اتنين R نود R في cosine θ
+
+388
+00:38:00,330 --> 00:38:07,610
+ناقص θ نود يساوي Zero لو قسمت الطرفين على R شو
+
+389
+00:38:07,610 --> 00:38:08,850
+اللي بيحصل لاندي؟
+
+390
+00:38:16,470 --> 00:38:24,470
+ماذا يحصل عندك؟ بيصير عندك R ناقص اتنين R نود R
+
+391
+00:38:24,470 --> 00:38:32,070
+نود تسميها ايه الآن؟ ناقص اتنين A في cos θ ناقص θ
+
+392
+00:38:32,070 --> 00:38:39,230
+نود بده يسوى Zero يبقى تصبح ال R يسوى اتنين A cos
+
+393
+00:38:39,230 --> 00:38:46,800
+θ ناقص θ نوديبقى الدائرة اللى عندنا هذه أصبحت
+
+394
+00:38:46,800 --> 00:38:53,220
+معدلتها اللى فوق يبقى هذه r يسوى اتنين a cosine
+
+395
+00:38:53,220 --> 00:38:59,240
+theta ناقص theta node بتاخد كمان حالات خاصة منها
+
+396
+00:38:59,240 --> 00:39:04,720
+لو ال center هذا خليته ييجي على الاتجاه الموجب لل
+
+397
+00:39:04,720 --> 00:39:11,620
+positive x axis يبقى بيصير هنا theta node بقداشهذه
+
+398
+00:39:11,620 --> 00:39:17,300
+تيتا نوت الآن عندى يبقى تيتا نوت كده ما تصبح مركز
+
+399
+00:39:17,300 --> 00:39:23,020
+هذا نزلته و جبته على محر اكسل موجر يبقى كده؟ Zero
+
+400
+00:39:23,020 --> 00:39:34,100
+يبقى بجي بقوله هذا نمر اتنين if the center is on
+
+401
+00:39:34,100 --> 00:39:38,260
+the positive
+
+402
+00:39:40,670 --> 00:39:48,450
+عن طريق X اكسيز ثم ثيتا نوت بده تساوي زيرو لما
+
+403
+00:39:48,450 --> 00:39:56,190
+ثيتا نوت تساوي زيرو بيصير R يساوي اتنين A كوسين فد
+
+404
+00:39:58,430 --> 00:40:02,490
+هذا لو وقعت على ال positive x axis، طب لو وقعت على
+
+405
+00:40:02,490 --> 00:40:08,550
+ال negative x axis يبقى θ ناقص بيها تصبح Pi إذا
+
+406
+00:40:08,550 --> 00:40:15,750
+لما تصبح Pi بصير cosine، هذا θ ناقص Piبدي افكها
+
+407
+00:40:15,750 --> 00:40:20,330
+يبقى cosine theta cosine by z sin theta sin by sin
+
+408
+00:40:20,330 --> 00:40:24,210
+by ب zero و cosine theta بسالب واحد يبقى نفس
+
+409
+00:40:24,210 --> 00:40:30,150
+المعادلة بس بإشارة من بإشارة سالب إذا لو روحت خدت
+
+410
+00:40:30,150 --> 00:40:36,630
+المحاور بالشكل هذا هيك و قلت هذا محور X و هذا محور
+
+411
+00:40:36,630 --> 00:40:44,510
+Y و هذه نقطة الأصل و رسمت هاتين الدائرتينبتجي
+
+412
+00:40:44,510 --> 00:40:49,930
+الدائرة بالشكل هذا الدائرة الأولى بالشكل عندنا هذا
+
+413
+00:40:49,930 --> 00:40:53,150
+وبتجي
+
+414
+00:40:53,150 --> 00:41:00,130
+الدائرة التانية بالشكل التاني هذاهذه الدائرة
+
+415
+00:41:00,130 --> 00:41:06,950
+معدلتها R يسوى 2A في Cos الزاوية ثيتا وهذه R تسوى
+
+416
+00:41:06,950 --> 00:41:13,990
+سالب 2A في Cos الزاوية ثيتا هذا المركز تبع الدائرة
+
+417
+00:41:13,990 --> 00:41:20,370
+الأولى وهذا هو المركز تبع الدائرة الثانية طيب نمرح
+
+418
+00:41:20,370 --> 00:41:27,690
+تلاتةلو المركز وقع على ال positive y axis يعني اين
+
+419
+00:41:27,690 --> 00:41:32,330
+المركز بدل ما ننزلناه هنا جيبناه على محور y يبقى θ
+
+420
+00:41:32,330 --> 00:41:38,390
+نود بقداش باي يبقى بيصير المعادلة اللي عندنا هذه
+
+421
+00:41:38,390 --> 00:41:44,570
+باي على اتنين بيصير cosine θ cosine باي على اتنين
+
+422
+00:41:44,570 --> 00:41:50,110
+cosine باي على اتنين بقداش zero زائد sin θ sin باي
+
+423
+00:41:50,110 --> 00:41:54,100
+على اتنين sin باي على اتنين بقداشبواحد يبقى بصير
+
+424
+00:41:54,100 --> 00:42:05,380
+اتنين a sin θ يبقى هنا if the center is on the
+
+425
+00:42:05,380 --> 00:42:16,840
+positive y axis then θ node بدها تساوي لبي على
+
+426
+00:42:16,840 --> 00:42:29,290
+اتنين andبالتالي الاسم هو R يساوي اتنين A في صيني
+
+427
+00:42:29,290 --> 00:42:37,030
+الزاويةلكن لو اتوقع على Y السالب يبقى θ بسالب بي
+
+428
+00:42:37,030 --> 00:42:42,250
+على اتنين او بثلاثة بي على اتنين تطلع نفس المعادلة
+
+429
+00:42:42,250 --> 00:42:48,830
+هذه بس بإشارة من بإشارة سالب يبقى هذا θ تساوي zero
+
+430
+00:42:48,830 --> 00:42:55,830
+وهذا θ تساوي بيعلى اتنين، لو روحت رسمت هتين
+
+431
+00:42:55,830 --> 00:43:00,550
+الدائرتين يبقى الدائرة الأولى بدها تجينا بالشكل
+
+432
+00:43:00,550 --> 00:43:05,790
+هذا هيك والدائرة التانية بدها تيجي بالشكل التاني
+
+433
+00:43:05,790 --> 00:43:12,570
+هيكتمام هاي ال center تبعها وهي ال center تبع
+
+434
+00:43:12,570 --> 00:43:19,890
+التانية الدائرة الأولى معدلتها R يساوي 2A في صين
+
+435
+00:43:19,890 --> 00:43:26,770
+الزاوية ثيتا والمعادلة التانية R ناقص 2A في صين
+
+436
+00:43:26,770 --> 00:43:32,430
+الزاوية ثيتا في عندك بعض المسائل هه لما انطلبنا
+
+437
+00:43:32,430 --> 00:43:34,370
+نحسب المساحة فيه زي هيك
+
+438
+00:43:52,220 --> 00:44:01,180
+بناخد مثال على الخط المستقيم نقطة
+
+439
+00:44:01,180 --> 00:44:02,940
+بسيطة وبعدها بصير خير
+
+440
+00:44:07,010 --> 00:44:13,370
+يبقى example بيقول
+
+441
+00:44:13,370 --> 00:44:21,550
+sketch the line sketch the line ارسم للخط المستقيم
+
+442
+00:44:21,550 --> 00:44:31,270
+r cosine theta r cosine theta ناقص اتنين by على
+
+443
+00:44:31,270 --> 00:44:38,040
+تلاتةأو R cos theta نقص اثنين باية على تلاتة بده
+
+444
+00:44:38,040 --> 00:44:52,280
+يساوي قداش تلاتة and find its cartesian equation
+
+445
+00:44:52,280 --> 00:44:58,540
+وبدنا المعادلة الكارتيزية هلو بنقوله بسيطة جدا
+
+446
+00:45:28,210 --> 00:45:34,430
+مشان نرسم الخط المستقيم هذا بدي احاول اجيب نقطتين
+
+447
+00:45:34,430 --> 00:45:39,380
+على هذا الخط المستقيمبدي اختارهم بطريقة ذكية هيك
+
+448
+00:45:39,380 --> 00:45:45,200
+شوية لو قلت بدي تقطع الخط المستقيم مع محور X يبقى
+
+449
+00:45:45,200 --> 00:45:52,400
+θ كده بتكون؟ Zero تمام يبقى باجي بقوله هنا F θ
+
+450
+00:45:52,400 --> 00:46:01,320
+تساوي Zero then ال R فيه cosine سالب اتنين Pi على
+
+451
+00:46:01,320 --> 00:46:07,980
+تلاتة بده تساوي تلاتة ال cosine even والله oddيبقى
+
+452
+00:46:07,980 --> 00:46:15,600
+السالب هذا مع السلامة، يبقى صارت هذه R بتدهك إلى
+
+453
+00:46:15,600 --> 00:46:24,740
+cos 120 اللي هي cos 60 بس بإشارة سالب، cos 60 اللي
+
+454
+00:46:24,740 --> 00:46:33,430
+هي كده؟نص بس بالسالب يبقى R في سالب نص بده يساوي
+
+455
+00:46:33,430 --> 00:46:41,950
+قداش تلاتة ومنها R تساوي سالب ستة يبقى صار إحداث
+
+456
+00:46:41,950 --> 00:46:48,950
+النقطة الأولى هي سالب ستة و Zeroطيب بدنا نجيب نقطة
+
+457
+00:46:48,950 --> 00:46:54,190
+تانية فباخد لو كان ال theta تسوي by على اتنين مثلا
+
+458
+00:46:54,190 --> 00:47:02,750
+then ال R cosine by على اتنين نقص اتنين by على
+
+459
+00:47:02,750 --> 00:47:09,270
+تلاتة بده يسوي تلاتة هذا بده يعطيك R cosineتسعين
+
+460
+00:47:09,270 --> 00:47:16,930
+موجة بمية و عشرين سالب بظل سالب باي على ستة بده
+
+461
+00:47:16,930 --> 00:47:22,370
+يسوى تلاتة ال cosine even يبقى سالب مع السلمجة
+
+462
+00:47:22,370 --> 00:47:30,170
+تلاتين بجذر تلاتة على اتنين يبقى جذر تلاتة على
+
+463
+00:47:30,170 --> 00:47:31,870
+اتنين R
+
+464
+00:47:35,780 --> 00:47:45,370
+يبقى R يسوى 6 على جذر التلاتةلو ضربت في جذر ثلاثة
+
+465
+00:47:45,370 --> 00:47:52,930
+على جذر ثلاثة ابتدي قداش اتنين جذر ثلاثة يبقى أصبح
+
+466
+00:47:52,930 --> 00:47:59,830
+عندنا النقطة تين the points النقطة الأولى اللي هي
+
+467
+00:47:59,830 --> 00:48:07,890
+قداش Rقالة سلب ستة وزيرو سلب ستة وزيرو and النقطة
+
+468
+00:48:07,890 --> 00:48:14,980
+التانية طلعت R اتنينجذر تلاتة وباي على اتنين هذول
+
+469
+00:48:14,980 --> 00:48:23,040
+are on the line يبقى لو روحت رسمت المحاول بالشكل
+
+470
+00:48:23,040 --> 00:48:27,680
+ان هذا وقلنا هذا ثيتا تساوي زيرو وهذا ثيتا تساوي
+
+471
+00:48:27,680 --> 00:48:33,020
+باي على اتنين لما ثيتا تساوي زيرو R تساوي كده؟
+
+472
+00:48:33,020 --> 00:48:38,700
+سالب ستة يبقى سالب ستة وزيرو لما ثيتا باي على
+
+473
+00:48:38,700 --> 00:48:43,280
+اتنينبتنين جذر تلاتة جذر تلاتة في واحد وسبعة من
+
+474
+00:48:43,280 --> 00:48:50,060
+عشرة في اتنين تلاتة واربعة من عشرة يعني النقطة هذه
+
+475
+00:48:50,060 --> 00:48:56,100
+يبقى اتنين جذر تلاتة و باي على اتنين نوصل بين
+
+476
+00:48:56,100 --> 00:49:02,420
+هاتين النقطتين بيكون جيبنا من؟ جيبنا الخط المستقيم
+
+477
+00:49:02,420 --> 00:49:06,800
+اللي عندنابعدها الجلي هاتلي find its cartesian
+
+478
+00:49:06,800 --> 00:49:12,680
+equation بدنا المعادلة الكارتيزية بالنسبة له بنقول
+
+479
+00:49:12,680 --> 00:49:15,860
+بسيطة هذه اللي كنا بنعملها في أول section في ال
+
+480
+00:49:15,860 --> 00:49:19,420
+polar coordinates الصيغة المعطاة في الصيقة القطبية
+
+481
+00:49:19,420 --> 00:49:24,360
+و بدي أحولها إلى من؟ إلى الصيغة الكارتيزية يبقى
+
+482
+00:49:24,360 --> 00:49:32,070
+برجع للمعادلة هذه و بكتبها في الشكل التالييبقى R
+
+483
+00:49:32,070 --> 00:49:46,230
+في cos θ cos 2pi على 3 زائد sin θ
+
+484
+00:49:46,230 --> 00:49:54,810
+sin 2pi على 3 كل هذا الكلام بده يساوي قداشر تلاتة
+
+485
+00:49:54,810 --> 00:50:03,220
+نيجي هنا هذه R cos θ فيهلان جت ال 120 هي جت ال 60
+
+486
+00:50:03,220 --> 00:50:10,360
+بالسالب يبقى السالب قداش سالب نص اللي بعديها زاد
+
+487
+00:50:10,360 --> 00:50:14,640
+جاب ال 120 هو جت ال 60 بالموجب في الرابع التاني
+
+488
+00:50:14,640 --> 00:50:18,650
+اللي جاب موجبيبقى جيب الستين هو جدر تلاتة على
+
+489
+00:50:18,650 --> 00:50:26,170
+اتنين يبقى R sin θ في جدر تلاتة على اتنين بده
+
+490
+00:50:26,170 --> 00:50:33,010
+يستوي قداش تلاتة لو ضربت كله في اتنين وشلت R cos θ
+
+491
+00:50:33,010 --> 00:50:33,790
+هذه معلها
+
+492
+00:50:52,480 --> 00:50:59,600
+أخر مثال على الدائرة مثال صغير جدا بيقول لي ما
+
+493
+00:50:59,600 --> 00:51:00,200
+يأتي
+
+494
+00:51:07,520 --> 00:51:14,620
+بقول sketch the circle
+
+495
+00:51:14,620 --> 00:51:16,800
+أرسم الدائرة
+
+496
+00:51:26,490 --> 00:51:33,370
+Find its center بدنا المركز تبعها in polar
+
+497
+00:51:33,370 --> 00:51:43,090
+coordinates in polar coordinates في الأحداثيات
+
+498
+00:51:43,090 --> 00:51:53,930
+القطبية and find its radius بدنا جداش نصف القطر
+
+499
+00:51:56,630 --> 00:52:02,410
+يبقى solution الدائرة
+
+500
+00:52:02,410 --> 00:52:09,970
+هذه الصيغة المناظرة لها سالب تمانية sin ثيتا هي
+
+501
+00:52:09,970 --> 00:52:15,540
+سالب اتنين في sin ثيتااللي ما سمناه هناك تحت،
+
+502
+00:52:15,540 --> 00:52:20,400
+مظبوط؟ يبقى بناء ان عليه بدي يكون عندنا مين؟
+
+503
+00:52:20,400 --> 00:52:26,160
+الاتنين ايه بدي سوى كده اش تمانية؟ يبقى الايه بدي
+
+504
+00:52:26,160 --> 00:52:31,060
+سوى كده اش اربعة؟ يبقى أجابنا على المطلوب الثاني
+
+505
+00:52:31,060 --> 00:52:34,740
+وهو ال radius يبقى ال radius
+
+506
+00:52:44,460 --> 00:52:50,920
+بنرسم الدائرة هذه ونحدد ال center تبعها على الصيغة
+
+507
+00:52:50,920 --> 00:52:52,440
+التالية اللي عندنا
+
+508
+00:52:56,160 --> 00:53:00,380
+هذه الدائرة اللي هي بالسالب يبقى الدائرة اللي تحت
+
+509
+00:53:00,380 --> 00:53:04,580
+يبقى لو روحت رسمت المحاور المحاور بالشكل اللي
+
+510
+00:53:04,580 --> 00:53:11,800
+عندنا هذا θ تساوي zero و هنا θ تساوي πي على اتنين
+
+511
+00:53:11,800 --> 00:53:22,490
+وهذه الدائرة اليمين اللي رتساوي سالب تمانية صين
+
+512
+00:53:22,490 --> 00:53:28,650
+الزاوية ثيتا و I ال center قل هاتل ال center بقوله
+
+513
+00:53:28,650 --> 00:53:35,650
+بسيطة قداش نصف القطر هذا اربعة يبقى هذه اربعة قداش
+
+514
+00:53:35,650 --> 00:53:41,530
+الزاوية مشان ترسم هذه الدار يبقى سالب I على اتنين
+
+515
+00:53:41,530 --> 00:53:49,080
+يبقى باجي بقوله the center of the circlecentre of
+
+516
+00:53:49,080 --> 00:53:57,620
+the circle is أربعة و باية على اتنين
+
+517
+00:54:05,920 --> 00:54:12,360
+صح؟ من المية واحد تالت قالوا لأ بدي اكتبها تلاتة
+
+518
+00:54:12,360 --> 00:54:17,060
+باي على اتنين اربعة و تلاتة باي على اتنين مارضه
+
+519
+00:54:17,060 --> 00:54:22,100
+ماشي كلهم قارئوا كفلات لحد هنا stop بنروح ل
+
+520
+00:54:22,100 --> 00:54:29,380
+exercises احد عشر سبعة المسائل من واحد لاربعة
+
+521
+00:54:29,380 --> 00:54:36,500
+وستين اللي هو ال multiple ofالثالث، يعطيك العافية
+
+522
+00:54:36,500 --> 00:54:45,640
+يبقى وصلنا الآن إلى الامتحان شدوا حيلكم كل اللي
+
+523
+00:54:45,640 --> 00:54:52,780
+أخدته مطلوب الامتحان سيكون شاملا يعني من أول ما
+
+524
+00:54:52,780 --> 00:55:01,390
+درست وحتى يومنا هذامن أول من بداية chapter 7 وحتى
+
+525
+00:55:01,390 --> 00:55:06,810
+نهاية chapter 11 كل وقت معاك داخل في الامتحان
+
+526
+00:55:06,810 --> 00:55:11,750
+نتمنا لكم التوفيق و النجاح ان شاء الله
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/VqqtIVINvlg_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/VqqtIVINvlg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b46d1e13ad51eee322cc779c9af0a8a65345af26
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/VqqtIVINvlg_raw.srt
@@ -0,0 +1,2112 @@
+1
+00:00:10,180 --> 00:00:15,240
+بسم الله الرحمن الرحيمنكمل الموضوع اللي ابتدأنا من
+
+2
+00:00:15,240 --> 00:00:21,380
+بارح ابتدأنا يوم أمس بالو ال connections in polar
+
+3
+00:00:21,380 --> 00:00:26,140
+coordinates و هو رسم القطوع المخرطية في الإحداثيات
+
+4
+00:00:26,140 --> 00:00:31,900
+القطبية و أخدنا على ذلك بالأمس ثلاثة أمثلة بيعطيني
+
+5
+00:00:31,900 --> 00:00:36,880
+بعض المعلوماتوبطلب ما هو شكل المعادلة في ال polar
+
+6
+00:00:36,880 --> 00:00:42,040
+corners اليوم العملية العكسية بيعطيني شكل المعادلة
+
+7
+00:00:42,040 --> 00:00:46,480
+و بطلب الأشياء الأخرى يبقى السؤال بيقول ما يأتي
+
+8
+00:00:46,480 --> 00:00:52,790
+sketch and classifyيبقى عليك ترسم القطعة المخلوطة
+
+9
+00:00:52,790 --> 00:00:58,350
+ثم تحدد من هو هذا القطعة المخلوطة هل هو ellipse و
+
+10
+00:00:58,350 --> 00:01:01,610
+لا parabola و لا hyperbola و لا غيره يبقى عليك
+
+11
+00:01:01,610 --> 00:01:07,570
+ترسم القطعة المخلوطة ثم تحدد
+
+12
+00:01:07,570 --> 00:01:14,820
+الرؤوس من القطعة المخلوطةcenters as well يبقى بدنا
+
+13
+00:01:14,820 --> 00:01:18,380
+المراكز لهذه القطور اللي بيقولي as well يعني ان
+
+14
+00:01:18,380 --> 00:01:26,080
+وجدت فمثلا ال Parabola هل إله center؟ Parabola إله
+
+15
+00:01:26,080 --> 00:01:30,260
+center؟ لا مالوش center لكن ال ellipse إله center
+
+16
+00:01:30,260 --> 00:01:34,330
+و لا Parabola إله centerيبقى إن كان برابولة
+
+17
+00:01:34,330 --> 00:01:37,390
+ماعنديش center إذا كان ellipse أو high برابولة
+
+18
+00:01:37,390 --> 00:01:41,070
+يبقى فيها عند ال center إذا إله center بدنا نعرف
+
+19
+00:01:41,070 --> 00:01:45,830
+قداش مقدار هذا ال center بيقول لأن the sketch was
+
+20
+00:01:45,830 --> 00:01:49,850
+only a directrix الدليل that corresponds to the
+
+21
+00:01:49,850 --> 00:01:53,970
+focus at the origin المناظر للبقرة اللي موجودة وام
+
+22
+00:01:53,970 --> 00:02:01,310
+في المركز وهات للبقرة الأخرى إن وجدت يعنيإذا المثل
+
+23
+00:02:01,310 --> 00:02:05,410
+مثل Parabola يبقى ليس لديه بُقرة أخرى، لكن إذا
+
+24
+00:02:05,410 --> 00:02:09,410
+المثل مثل Ellipse أو High Parabola يبقى لديه بُقرة
+
+25
+00:02:09,410 --> 00:02:14,150
+أخرى، يحتاج إلى هذه البُقرة الأخرى، يبقى بيعطيني
+
+26
+00:02:14,150 --> 00:02:17,630
+المعادلة و بطلب الشغلات اللي قلتها ال vertices
+
+27
+00:02:17,630 --> 00:02:22,640
+والcenterالبقرة الأخرى هيحط احدى البقرتين في ال
+
+28
+00:02:22,640 --> 00:02:26,640
+origin ترسم لي ال dialectics وما إلى ذلك يبقى
+
+29
+00:02:26,640 --> 00:02:30,740
+اعطاني مثل اقل ر تسوى تمانية على اتنين ناقص اتنين
+
+30
+00:02:30,740 --> 00:02:35,080
+sin زاوية theta يبقى لو نظرت لهذه المعادلة
+
+31
+00:02:35,080 --> 00:02:39,040
+والمعادلة اللى خدناها امبارح امبارح كان هنا مكان
+
+32
+00:02:39,040 --> 00:02:44,860
+الواحد قداش مكان اتنين قداش كان واحديبقى أول خطوة
+
+33
+00:02:44,860 --> 00:02:48,480
+بدك تعملها بدك تروح تحط المعادلة في ال standard
+
+34
+00:02:48,480 --> 00:02:53,140
+form standard form يعني يبدى الرقم هذا يكون واحد
+
+35
+00:02:53,140 --> 00:02:58,260
+صحيح اذا بروح نقسم كله من البس والمقام على كده اش
+
+36
+00:02:58,260 --> 00:03:04,700
+على اتنين يبقى بده يصير الحل على الشكل التالي ارضه
+
+37
+00:03:04,700 --> 00:03:12,090
+سوى اربع على واحد ناقص صيني الزاوية ثتربنذكر بشكل
+
+38
+00:03:12,090 --> 00:03:16,350
+المعادلة اللي كانت بهذا الشكل البارح يبقى المعادلة
+
+39
+00:03:16,350 --> 00:03:23,750
+كانت R تساوي K في E على 1 ناقص E في Sine زغية ثيتا
+
+40
+00:03:23,750 --> 00:03:27,950
+اللي هي المعادلة اللي أمنا إذا لو جيت قارنت ما بين
+
+41
+00:03:27,950 --> 00:03:32,700
+الاتنينهذا هيعطيني ان ال eccentricity ايه تساوي
+
+42
+00:03:32,700 --> 00:03:37,060
+كده؟ المعامل تبع ال sign اللي هو واحد، من اما ال
+
+43
+00:03:37,060 --> 00:03:43,080
+eccentricity واحد يبقى ال conic section عبارة عن
+
+44
+00:03:43,080 --> 00:03:47,000
+مين؟ his parabola
+
+45
+00:03:49,130 --> 00:03:53,930
+يبقى عرفت إن القطع المخروطة عندنا هو عبارة عن قطع
+
+46
+00:03:53,930 --> 00:04:00,510
+مكافئ بعد هيك بقدر أقوله الآن أنا عندي كمان K في E
+
+47
+00:04:00,510 --> 00:04:06,810
+بده يسوى من 4 يعني K في E أجه مكانها قداش 4 طب إيه
+
+48
+00:04:06,810 --> 00:04:14,040
+يعرفينها؟ يعني K في 1بدي يسوي اربعة يبقى ال K يسوي
+
+49
+00:04:14,040 --> 00:04:19,720
+قداش اربعة اذا معادلة ال directrix الله اعلم X
+
+50
+00:04:19,720 --> 00:04:25,020
+تسوي اربعة X تسوي سلب اربعة Y تسوي اربعة Y تسوي
+
+51
+00:04:25,020 --> 00:04:29,980
+سلب اربعة الله اعلم ابنجي لرسمتنا هذه حتى نحدد ما
+
+52
+00:04:29,980 --> 00:04:34,680
+هو شكل ال directrixبقوله كويس يبقى بروح برسم
+
+53
+00:04:34,680 --> 00:04:39,920
+المحاور و بروح بقول هذا theta تساوي zero و هذا
+
+54
+00:04:39,920 --> 00:04:46,960
+theta تساوي pi على اتنين و هنا ال focus at the
+
+55
+00:04:46,960 --> 00:04:55,030
+origin يبقى البقرة في المركزطب الكويس الان انا مش
+
+56
+00:04:55,030 --> 00:04:59,630
+عارف هل ال parabola هذا مفتوح لأعلى مفتوح لأسفل
+
+57
+00:04:59,630 --> 00:05:04,190
+مفتوح جهة اليمين مفتوح جهة الشمال فبرجع للمعادلة
+
+58
+00:05:04,190 --> 00:05:09,890
+المعادلة بدلالة مين اذا ده فوق ال axis هو محور Y
+
+59
+00:05:09,890 --> 00:05:16,510
+يبقى الرقم هتكون فوق قطعالإشارة اللي تسبق الصين
+
+60
+00:05:16,510 --> 00:05:22,090
+للإشارة يبقى ال directrix تحت يبقى بده يجينا ال
+
+61
+00:05:22,090 --> 00:05:27,570
+directrix بالشكل اللي عندنا هذا يبقى هذا الخط هو
+
+62
+00:05:27,570 --> 00:05:33,650
+ال directrix اللي هو y تساوي كده؟ سالب أربعة إذا
+
+63
+00:05:33,650 --> 00:05:39,550
+بروح بقوله هنا thing directrix
+
+64
+00:05:41,010 --> 00:05:48,550
+Y تساوي سالب أربعيبقى K هذه القيمة تبعتها هي قيمة
+
+65
+00:05:48,550 --> 00:05:52,230
+ال directrix لكن الإشارة بحددها من وين؟ بحددها من
+
+66
+00:05:52,230 --> 00:05:56,950
+خلال الرسمة فهذا الرسم بحددها من وين؟ من خلال شكل
+
+67
+00:05:56,950 --> 00:06:01,370
+المعادلة اللي عندنا بقدر أحدد الرسمة تبعته تماما
+
+68
+00:06:01,370 --> 00:06:05,950
+إذن هذا ال parabola مدام هذا directrix وهذه focus
+
+69
+00:06:05,950 --> 00:06:10,510
+إذن ال parabola بيكون من النصب الشكل هذا ال vertex
+
+70
+00:06:10,510 --> 00:06:16,190
+دي في نص المسافة وهيكون مفتوح لوين؟لأعلى بالشكل
+
+71
+00:06:16,190 --> 00:06:22,490
+اللي قدامنا هذا طيب نرجع الأن لالمطلوب قال sketch
+
+72
+00:06:22,490 --> 00:06:28,090
+رسم قال classify حدد لي من هو حدد يبقى أول مطلوبين
+
+73
+00:06:28,090 --> 00:06:32,370
+خلصنا منهم مطلب التاني قال هاتلي أحداثيات ال
+
+74
+00:06:32,370 --> 00:06:37,150
+vertices label the vertices ماعنديش vertices عندي
+
+75
+00:06:37,150 --> 00:06:44,060
+vertex واحدة بدي أعرف قداشي أحداثيات هذا الرأسمن
+
+76
+00:06:44,060 --> 00:06:48,660
+هنا إلى هنا يوجد اربعة نقطة
+
+77
+00:06:48,660 --> 00:06:51,960
+و من هنا إلى هنا يوجد اربعة نقطة و من هنا إلى هنا
+
+78
+00:06:51,960 --> 00:06:54,020
+يوجد اربعة نقطة و من هنا إلى هنا يوجد اربعة نقطة و
+
+79
+00:06:54,020 --> 00:06:54,980
+من هنا إلى هنا يوجد اربعة نقطة و من هنا إلى هنا
+
+80
+00:06:54,980 --> 00:06:58,420
+يوجد اربعة نقطة و من هنا إلى هنا يوجد اربعة نقطة و
+
+81
+00:06:58,420 --> 00:07:00,220
+من هنا إلى هنا يوجد اربعة نقطة و من هنا إلى هنا
+
+82
+00:07:00,220 --> 00:07:05,720
+يوجد اربعة نقطة و من هنا إلى هنا يوجد اربعة نقطة و
+
+83
+00:07:05,720 --> 00:07:07,860
+من هنا إلى هنا يوجد اربعة نقطة و من هنا إلى هنا
+
+84
+00:07:07,860 --> 00:07:09,520
+يوجد اربعة نقطة و من هنا إلى هنا يوجد اربعة نقطة و
+
+85
+00:07:09,520 --> 00:07:10,440
+من هنا إلى هنا يوجد اربعة نقطة و من هنا إلى هنا
+
+86
+00:07:10,440 --> 00:07:12,060
+يوجد اربعة نقطة و من هنا إلى هنا يوجد اربعة نقطة و
+
+87
+00:07:12,340 --> 00:07:16,880
+إذا من ال vertex اللي عندنا هذه بروح بقوله the
+
+88
+00:07:16,880 --> 00:07:27,760
+vertex is اللي هو h و k بدها تساوي اتنين و سالب by
+
+89
+00:07:27,760 --> 00:07:35,430
+على اتنين يبقى هذه اتنين و سالب by على اتنينيبقى
+
+90
+00:07:35,430 --> 00:07:38,390
+واني عرفت علشان ال parabola ال vertical تيجي في
+
+91
+00:07:38,390 --> 00:07:42,830
+النص ما بين ال directrix و ما بين ال focus طب لو
+
+92
+00:07:42,830 --> 00:07:47,380
+كان ellipse او high parabola بنفع احطها في النص؟لأ
+
+93
+00:07:47,380 --> 00:07:52,480
+وبالتالي بكتفكر في طريقة أخرى مشان الحصول على ال
+
+94
+00:07:52,480 --> 00:07:56,800
+vertex إذا أنا لعالي بروح بجيب الطريقة الأخرى ده
+
+95
+00:07:56,800 --> 00:08:01,100
+باللي أوصل لل ellipse و ال hyperbola فمثلا بقول
+
+96
+00:08:01,100 --> 00:08:06,520
+مشان أوصل لل vertex هذا بمشي زاوية جدا يعنيبنقص pi
+
+97
+00:08:06,520 --> 00:08:10,820
+على 2 بروح على معاجلة المنحنة بشيل theta و بحق
+
+98
+00:08:10,820 --> 00:08:19,220
+بدلها سالب pi على 2 بصير sign لسالب pi على 2يبقى
+
+99
+00:08:19,220 --> 00:08:23,880
+السالب برا مع السالب بصير موجة يبقى واحد زي ال
+
+100
+00:08:23,880 --> 00:08:28,860
+sign بي على اتنين بواحد يبقى اربعة على اتنين يبقى
+
+101
+00:08:28,860 --> 00:08:33,220
+باتنين نفس النتيجة اللي طلعناها هنا يبقى لو كانت
+
+102
+00:08:33,220 --> 00:08:37,280
+المسألة مسألة اخرى ellipse او hyperabula بشيل
+
+103
+00:08:37,280 --> 00:08:41,460
+الزاوية برجع بعوض بوين في المعادلة الأصلية بطلع
+
+104
+00:08:41,460 --> 00:08:45,900
+قيمة R في هذه الحالةإذا انت عرفت على ال vertex
+
+105
+00:08:45,900 --> 00:08:51,760
+يبقى خلاصنا كمان من ال vertex جل ال center as well
+
+106
+00:08:54,480 --> 00:08:58,340
+للبرابل ايه ال center؟ مالوش center يبقى خلاص مش
+
+107
+00:08:58,340 --> 00:09:01,280
+لازم لان هذا اللي قال لي ان وجد إذا في بدنية مش
+
+108
+00:09:01,280 --> 00:09:05,240
+موجود بلاك قال لي أنا عنده sketch ال directrix
+
+109
+00:09:05,240 --> 00:09:09,640
+رسمنا المنظر للدقرة في ال origin find the other
+
+110
+00:09:09,640 --> 00:09:13,580
+focus في عندي focus أخرى؟ ماعنديش لإن البرابل ب
+
+111
+00:09:13,580 --> 00:09:18,920
+focus واحدة فقط لغير يبقى انتهى حل السؤال حد أيه
+
+112
+00:09:18,920 --> 00:09:20,180
+اللي يستفسر هنا؟
+
+113
+00:09:24,630 --> 00:09:29,310
+بنفع تستخدم اللي بدكيها مدام معلومات أخدتها لكن
+
+114
+00:09:29,310 --> 00:09:34,290
+ليه عندي الحمد لله لا C ولا يلاقي انه E بواحد صحيح
+
+115
+00:09:34,290 --> 00:09:40,150
+جاهزة، مصبور؟ وماعنديش A هنا ال A في حالة ال A
+
+116
+00:09:40,150 --> 00:09:43,690
+لرسول الله ال Parabola، مصبور؟ يبقى السؤال في غير
+
+117
+00:09:43,690 --> 00:09:49,450
+محله، لما نوصل إليه أطلح اللي بدكيها يبقى مثال رقم
+
+118
+00:09:49,450 --> 00:09:54,960
+اتنين يبقى example two اللي هو نمرة Bنمر بي من
+
+119
+00:09:54,960 --> 00:10:03,900
+المثلة ارتو ساوي تلاتين عالمين على عشرة ناقص خمسة
+
+120
+00:10:03,900 --> 00:10:11,160
+في كوساين الزاوية فيها يبقى
+
+121
+00:10:11,160 --> 00:10:14,720
+اول شغلة بدي اعملها بدي احط المعادلة في ال
+
+122
+00:10:14,720 --> 00:10:21,190
+standard form يعني العشرة هذه مالهابدي أخليها واحد
+
+123
+00:10:21,190 --> 00:10:28,550
+يبقى بشيل السفر و خلصنا ولا لا؟ إيش حاجة سبب تشيل
+
+124
+00:10:28,550 --> 00:10:32,500
+السفر دي؟ ربما هذا سفر مهم جدا دي ربالكوالأن
+
+125
+00:10:32,500 --> 00:10:37,440
+الحسنة بعشري أمثالية، الحسنة واحدة حطت جدام الصفر
+
+126
+00:10:37,440 --> 00:10:43,320
+صاحبنا بصير عشرة، مظبوط؟ يبقى الحسنته بعشري
+
+127
+00:10:43,320 --> 00:10:48,640
+أمثالية، والسيئة بياحدة، وإن استغفرني يا عبدي،
+
+128
+00:10:48,640 --> 00:10:53,240
+غفرتها له، مظبوط؟ مش عاجزك، تعالى الرياضيات برضه
+
+129
+00:10:53,240 --> 00:10:58,380
+مشغلال، محمد بيرموسة الخوارزمي بقول إيه؟إذا كانت
+
+130
+00:10:58,380 --> 00:11:02,680
+المرأة او المرأة إذا كانت ذات الخلق النودي فهي
+
+131
+00:11:02,680 --> 00:11:08,580
+تساوي واحد صحيح وإذا كانت ذات جمال حطلك كمان صفر
+
+132
+00:11:08,580 --> 00:11:14,740
+قدام الواحداش بصير عشرة وإذا كانت صاحبة مال حط
+
+133
+00:11:14,740 --> 00:11:20,940
+كمان صفر بصير قداش مية وإذا كان ذات حسب ونسب حط
+
+134
+00:11:20,940 --> 00:11:24,760
+كمان صفر بصير المرأة عند محمد بن موسى الخبريني
+
+135
+00:11:24,760 --> 00:11:28,440
+تساوي الفإذا تحققت فيها الصفات الأربعة، إيش هو
+
+136
+00:11:28,440 --> 00:11:33,120
+بيقول بعد ذلك؟ فإن لم تكن المرأة ذات خلق ودين،
+
+137
+00:11:33,120 --> 00:11:38,740
+بنشيل الواحد، قداش مضال يبقى المرأة بدون خلق ودين
+
+138
+00:11:38,740 --> 00:11:43,580
+تساوي أصفارا، ماشي يا سيدي، يبقى هذا عندنا
+
+139
+00:11:43,580 --> 00:11:48,520
+كمسلمين، محمد بن موسى خارج من إنسان مسلم، تمام؟
+
+140
+00:11:48,520 --> 00:11:52,960
+يبقى هذه بس مجرد يعني مشان حكاية بموضوع الصخر هذا
+
+141
+00:11:53,520 --> 00:11:58,160
+طيب نرجع يبقى نروح نقسم كله على مين؟ على عشرة إذا
+
+142
+00:11:58,160 --> 00:12:04,680
+لو قسمنا على عشرة R تساوي تلاتة على واحد ناقص نص
+
+143
+00:12:04,680 --> 00:12:10,900
+في cosine الزاوية تيتا يبقى هذا بده يعطيلك ان ال E
+
+144
+00:12:10,900 --> 00:12:21,330
+قداش تساويمص ماله اقل من واحد صحيح اقل من واحد
+
+145
+00:12:21,330 --> 00:12:25,330
+صحيح و اكبر من zero يبقى ال connection عبارة عن
+
+146
+00:12:25,330 --> 00:12:32,850
+يبقى هذا بدي اعطيك ال connection is
+
+147
+00:12:32,850 --> 00:12:34,790
+an ellipse
+
+148
+00:12:37,060 --> 00:12:42,600
+مش هاجدركوا بس عندك كمان ال K في ال E بدري ساوي
+
+149
+00:12:42,600 --> 00:12:51,620
+تلاتة يبقى ال K في نص بدري ساوي تلاتة يبقى K تساوي
+
+150
+00:12:51,620 --> 00:12:57,650
+ستةكيف تسوى 6 هذا لهو ال directrix بس احنا مش
+
+151
+00:12:57,650 --> 00:13:03,010
+عارفين هو X ولا Y و هل هو السلب او الموجب اذا برجع
+
+152
+00:13:03,010 --> 00:13:08,030
+لمين للمعادلة اللي حطناها في ال standard 4 مكتوبة
+
+153
+00:13:08,030 --> 00:13:13,000
+بشكل مينأذا الفوك ال axis أو ال major axis هو محور
+
+154
+00:13:13,000 --> 00:13:18,640
+X الانشارة للقصين بالسلب يبقى direct X جاييني وين؟
+
+155
+00:13:18,640 --> 00:13:24,840
+على الشمال يبقى لو روحت و رسمت هيك المحور بقى بقول
+
+156
+00:13:24,840 --> 00:13:32,360
+هذا محور X هذا محور Y هذه هي ال focus at the
+
+157
+00:13:32,360 --> 00:13:41,700
+origin يبقى البقرة في المركزالـ Directrix X يساوي
+
+158
+00:13:41,700 --> 00:13:47,360
+ستة يبقى كونها السالب يجيني على الشمال يبقى لو جيت
+
+159
+00:13:47,360 --> 00:13:52,000
+هنا قولنا هذا هو ال Directrix اللي عندنا بالشكل
+
+160
+00:13:52,000 --> 00:13:59,940
+هذا يبقى هذا هو ال X يساوي سالب ستة بالشكل اللي
+
+161
+00:13:59,940 --> 00:14:06,180
+عندنا هذا يبقى سالب ستة هذا mainly هو ال Directrix
+
+162
+00:14:10,480 --> 00:14:14,700
+الان ال vertex سبعة ال ellipse بدا تكون موجودة ما
+
+163
+00:14:14,700 --> 00:14:21,660
+بين ال focus و ال directrix ماين ال focus بده يبجي
+
+164
+00:14:21,660 --> 00:14:25,620
+في الداخل يبجي بناء عليه ال ellipse بده يصير
+
+165
+00:14:25,620 --> 00:14:31,360
+بالشكل اللي عندنا هذا هيك الشكل هذا الشكل اللي
+
+166
+00:14:31,360 --> 00:14:37,440
+عندنا هذاطبعا نجي نسترسل مع السؤال السؤال قال
+
+167
+00:14:37,440 --> 00:14:42,120
+sketch بنقوله رسمنا حددنا ال connection حددنا
+
+168
+00:14:42,120 --> 00:14:48,180
+بعدين قال هات لل vertices إذا بد ال vertex الأولى
+
+169
+00:14:48,180 --> 00:14:54,640
+هذه وبد ال vertex التاني اللى عندنا هذا طب مش
+
+170
+00:14:54,640 --> 00:14:58,820
+هنجيب ال two vertices قداش بده أحط theta
+
+171
+00:15:01,490 --> 00:15:04,690
+بدي واحد يجيب، بس بدي واحد يرفع يدي، بديش يجيب
+
+172
+00:15:04,690 --> 00:15:12,450
+جماعية جدّا كويس يبقى بدي أحط θ تساوي زيرو والتاني
+
+173
+00:15:12,450 --> 00:15:19,730
+بدي ألف أحط θ تساوي باي فبروح بقول هنا to get the
+
+174
+00:15:19,730 --> 00:15:31,270
+vertices put حطلي θ تساوي زيرو and θ تساوي باييبقى
+
+175
+00:15:31,270 --> 00:15:37,350
+نمسك النقطة الأولى لو كانت ثيتا تساوي زيرو
+
+176
+00:15:41,080 --> 00:15:48,700
+بدي أشيل θ و أحط مكانها 0 يبقى ال R يبقى 30 عشرة
+
+177
+00:15:48,700 --> 00:15:55,360
+ناقص خمسة كوصين صفر كوصين صفر بقداش؟ بواحد بيبقى
+
+178
+00:15:55,360 --> 00:16:01,640
+عشرة ناقص خمسة خمسة تلاتين عشرة خمسة يساوي كداش؟
+
+179
+00:16:01,640 --> 00:16:09,060
+ستة إذا صار إحداث النقطة هذه هو 6 و 0بعد ذلك لو
+
+180
+00:16:09,060 --> 00:16:17,780
+كانت θ تساوي باي يبقى then الار تساوي تلاتين ع
+
+181
+00:16:17,780 --> 00:16:22,320
+العشر اناقص خمسة cosine باي ويساوي
+
+182
+00:16:25,350 --> 00:16:31,030
+قداش سالب واحد مع السلب بيصير موجة بيصير عشرة زائد
+
+183
+00:16:31,030 --> 00:16:36,970
+خمسة خمستاشر سلاتين على خمستاشر فيها قداش لإتنين
+
+184
+00:16:36,970 --> 00:16:42,850
+يبقى بيصير ال vertex هذه هي اتنين و باي الشكل اللي
+
+185
+00:16:42,850 --> 00:16:51,290
+عندنا هذايبقى بروح بقوله the vertices are الأولى
+
+186
+00:16:51,290 --> 00:16:59,930
+هى 6 و 0 التانية هى 2 و by خلصنا المطلوب تبع ال
+
+187
+00:16:59,930 --> 00:17:05,680
+vertices جلب ال decentralized as wellالسينتر انوجد
+
+188
+00:17:05,680 --> 00:17:11,740
+يبقى السينتر بيجي وين؟ في المنتصر يبقى هذا هو
+
+189
+00:17:11,740 --> 00:17:19,760
+السينتر السؤال كيف بدنا نحصل على السينتر يا أحمد؟
+
+190
+00:17:19,760 --> 00:17:22,660
+طبعا أنت لازم تسأل السؤال؟ أه متاكد، سألت عن ايه
+
+191
+00:17:22,660 --> 00:17:25,700
+قبل شوية في ال Parabola؟ هاي الهي لازم تتنافى ال
+
+192
+00:17:25,700 --> 00:17:27,980
+ellipse جديش؟
+
+193
+00:17:30,870 --> 00:17:36,510
+تنين ايه المسافة دي كلها؟ لو قسمتها على اتنين بحصل
+
+194
+00:17:36,510 --> 00:17:43,210
+على ايه؟ مظبوط يبقى بيصير عندنا اتنين ايه يساوي؟
+
+195
+00:17:43,210 --> 00:17:47,250
+المسافة من هنا إلى هنا كده ايش؟ ستة والمسافة من
+
+196
+00:17:47,250 --> 00:17:52,590
+هنا إلى هنا كده ايش؟ اتنين يبقى هذا يبدو يساوي ستة
+
+197
+00:17:52,590 --> 00:17:59,010
+زائد اتنين اللي هو تساوي تمانية يبقى الايه تساوي
+
+198
+00:17:59,010 --> 00:18:05,690
+اربعيبقى من هنا لهنا كلها اربع و هذه من هنا لهنا
+
+199
+00:18:05,690 --> 00:18:10,850
+اربع طب لما تكون هذه اتنين جدش بيظهر ان هنا اتنين
+
+200
+00:18:10,850 --> 00:18:15,550
+يبقى المسافة هذه كلها بيصير اتنين اذا بناء ان عليه
+
+201
+00:18:15,550 --> 00:18:23,850
+بقدر اجيب ال center بروح بقوله the center is اتنين
+
+202
+00:18:23,850 --> 00:18:29,220
+و جدش theta على هذا الخطزيرو يبقى اتنين وزيرو يبقى
+
+203
+00:18:29,220 --> 00:18:34,600
+صارة النقطة هادى اتنين وزيرو خلصنا ال center اللى
+
+204
+00:18:34,600 --> 00:18:39,460
+جال عليه بعدها قال لي sketch the directrix رسمنك و
+
+205
+00:18:39,460 --> 00:18:43,720
+رسمنا ال directrix اخر حاجة قال لي هاتلي البقرة
+
+206
+00:18:43,720 --> 00:18:49,880
+الأخرىبقول البقرة الأخرى بُعدها عن ال center مثل
+
+207
+00:18:49,880 --> 00:18:54,600
+بُعد البقرة هذه يبقى بادي بقول هذه بتابعه دي اتنين
+
+208
+00:18:54,600 --> 00:18:59,520
+اذا بدها تجين البقرة هذه و البُعد هذا كذلك جداش
+
+209
+00:18:59,520 --> 00:19:08,140
+اتنين بروح بقوله هنا the other focus البقرة الأخرى
+
+210
+00:19:08,140 --> 00:19:13,740
+isأربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة
+
+211
+00:19:13,740 --> 00:19:20,380
+اربعة اربعة اربعة اربعة اربع اربع اربع اربع اربع
+
+212
+00:19:20,380 --> 00:19:22,700
+اربع اربع اربع اربع اربع اربع اربع اربع اربع اربع
+
+213
+00:19:22,700 --> 00:19:24,200
+اربع اربع اربع اربع اربع اربع اربع اربع اربع اربع
+
+214
+00:19:24,200 --> 00:19:28,240
+اربع اربع اربع اربع اربع اربع اربع اربع اربع اربع
+
+215
+00:19:28,240 --> 00:19:28,240
+اربع اربع اربع اربع اربع اربع اربع اربع اربع اربع
+
+216
+00:19:28,240 --> 00:19:28,240
+اربع اربع اربع اربع اربع اربع اربع اربع اربع اربع
+
+217
+00:19:28,240 --> 00:19:34,420
+اربع اربع اربع اربع اربع اربع اربع ارب
+
+218
+00:19:39,590 --> 00:19:46,390
+نمر السيد بيقول الارتو ساوي اربعة
+
+219
+00:19:46,390 --> 00:19:52,950
+على اتنين ناقص صين ثيتا اربعة على اتنين ناقص صين
+
+220
+00:19:52,950 --> 00:19:58,440
+الزوايابقوله أول شغلة بدنا نعملها بدنا نحط
+
+221
+00:19:58,440 --> 00:20:03,720
+المعادلة في ال standard form يبقى ال R تسابق نقسم
+
+222
+00:20:03,720 --> 00:20:10,140
+كله من البصر و المقام على 2 بصير 2 على 1 ناقص نص
+
+223
+00:20:10,140 --> 00:20:16,640
+في صيني الزاوية ده هذا بده يعطيلك ان E تساوي نص و
+
+224
+00:20:16,640 --> 00:20:21,280
+النص أقل من الواحد الصحيح يبقى ال connection
+
+225
+00:20:23,810 --> 00:20:33,850
+is an ellipse يبقى كمان هذا هو قطع ناقص تمام عندك
+
+226
+00:20:33,850 --> 00:20:41,170
+ال K في ال E بده يسوى قداش اتنين يبقى ال K في النص
+
+227
+00:20:41,170 --> 00:20:48,990
+بده يسوى اتنين يبقى ال K يسوى قداش يسوى اربعالـ K
+
+228
+00:20:48,990 --> 00:20:53,270
+يساوي اربعة هذا هو البرادكس بس مابعرف هال X تساوي
+
+229
+00:20:53,270 --> 00:20:56,510
+زادة او ناقص اربعة و الله Y تساوي زادة او ناقص
+
+230
+00:20:56,510 --> 00:21:01,900
+اربعةبحكم على ذلك من خلال شكل المعادلة اللي عندنا
+
+231
+00:21:01,900 --> 00:21:07,080
+بجي بقوله كويس ايه المحور اللي عندنا الشكل هذا
+
+232
+00:21:07,080 --> 00:21:15,020
+يبقى هذا محور X او θ تساوي Zero و هذا θ تساوي Pi
+
+233
+00:21:15,020 --> 00:21:22,600
+على اتنين هنا التقاطع ال centerAt the origin يبقى
+
+234
+00:21:22,600 --> 00:21:27,020
+هذا هو الـ Center بعدين المعادلة المعادلة مكتوبة
+
+235
+00:21:27,020 --> 00:21:35,060
+بدلالة الصين يبقى ال focal axis هو محور Y هذا ال
+
+236
+00:21:35,060 --> 00:21:38,520
+focus
+
+237
+00:21:38,520 --> 00:21:45,550
+صحيح هذا ال focusيبقى ال focus at the origin يبقى
+
+238
+00:21:45,550 --> 00:21:51,410
+هذه هي ال focus at the origin تمام؟ ابنجي نرجع
+
+239
+00:21:51,410 --> 00:21:55,770
+للمعادلة اللي عندنا المعادلة مكتوبة بدلالة الصعي
+
+240
+00:21:55,770 --> 00:22:01,390
+يبقى الفوك ال axis هو محوريبقى انسى محوركس تمام
+
+241
+00:22:01,390 --> 00:22:05,910
+الإشارة اللي عندنا من بالسالب يبقى بدى يكون ال
+
+242
+00:22:05,910 --> 00:22:11,070
+bioelectrics أسفل ال focus اللي عندنا يعني يبقى
+
+243
+00:22:11,070 --> 00:22:17,290
+هذا بدى يكون ال bioelectrics المعادلة تبعه y تساوي
+
+244
+00:22:17,290 --> 00:22:24,430
+كده؟ سالب أربعة طيب إذا ال ellipse هذا بدى كله فوق
+
+245
+00:22:24,430 --> 00:22:30,150
+كله تقريبا تمامطيب بعدين بقوله مادام ليه فوق يبقى
+
+246
+00:22:30,150 --> 00:22:36,350
+أحطها في النص هنا؟ أحطها في النص ما بين ال focus و
+
+247
+00:22:36,350 --> 00:22:39,470
+ما بين ال direction؟ أحط ال verdict؟ لأ ليس
+
+248
+00:22:39,470 --> 00:22:44,390
+بالضرورة ليس إنه أنه ellipse وليس parabola تمام؟
+
+249
+00:22:44,390 --> 00:22:49,990
+إذا لو روحت رسمته، هياخد الشكل التالي، الشكل اللي
+
+250
+00:22:49,990 --> 00:22:50,890
+عنها ذلك
+
+251
+00:23:01,250 --> 00:23:05,630
+يبقى هذا الـ main هذا ال ellipse اللي عندنا بهذا
+
+252
+00:23:05,630 --> 00:23:14,690
+الشكل طيب
+
+253
+00:23:14,690 --> 00:23:19,970
+نكمل
+
+254
+00:23:19,970 --> 00:23:25,110
+الشغل تبعنا يبقى جيبنا كيه و رسمنا و ال directrix
+
+255
+00:23:25,110 --> 00:23:29,430
+و الرسمة و ما إلى ذلك يبقى classify و sketch
+
+256
+00:23:29,430 --> 00:23:34,920
+جاهزينقال هاتل ال vertices إذا بدنا ال vertex اللي
+
+257
+00:23:34,920 --> 00:23:39,880
+عندنا هذه و ال vertex اللي عندنا هذه يبقى مشان
+
+258
+00:23:39,880 --> 00:23:46,380
+نحصل على هتين أو على هذين الرأسين اقترحوا علينا
+
+259
+00:23:46,380 --> 00:23:50,920
+كده حطيته ممتاز
+
+260
+00:23:50,920 --> 00:23:54,900
+يبقى باية على اتنين و سالب باية على اتنين أو باية
+
+261
+00:23:54,900 --> 00:23:58,440
+على اتنين و تلاتة باية على اتنين هذه و هذه السيانة
+
+262
+00:23:58,440 --> 00:24:05,350
+بتخرجش عنناإذا بدأت يقول لو كانت ثيتا تساوي سالب
+
+263
+00:24:05,350 --> 00:24:12,770
+باي على اتنينبنعوض في المعادلة الأصلية أو المعادلة
+
+264
+00:24:12,770 --> 00:24:18,990
+الجديدة سيان يبقى الار بده يساوي اربعة على اتنين
+
+265
+00:24:18,990 --> 00:24:26,670
+ماقص sign لسالب باي على اتنين يبقى هذا الكلام بده
+
+266
+00:24:26,670 --> 00:24:33,270
+يساوي اربعة على sign odd يبقى السالب برا وهذا يصبح
+
+267
+00:24:33,270 --> 00:24:39,240
+واحد اتنين زاد واحد يبقى تلاتةإذا صار الإحداث يتبع
+
+268
+00:24:39,240 --> 00:24:45,900
+النقطة هذه هو أربع على تلاتة و باي على اتنين بس
+
+269
+00:24:45,900 --> 00:24:53,800
+بالسالب تمام؟ بعد ذلك بدا بياخد لو كانت ثيتا if
+
+270
+00:24:53,800 --> 00:25:00,970
+ثيتا تسوى باي على اتنين thenالارتو ساوي اللي هو من
+
+271
+00:25:00,970 --> 00:25:08,190
+اربعة على اتنين ناقص sign باية على اتنين اللي هي
+
+272
+00:25:08,190 --> 00:25:13,570
+واحد يبقى اتنين ناقص واحد يساوي واحد يبقى الارتو
+
+273
+00:25:13,570 --> 00:25:18,190
+ساوي اربعة يبقى بناء ان انا عليه بقدر اقول له that
+
+274
+00:25:19,930 --> 00:25:26,530
+vertices A الأولى اربعة تلاتة و سالب باي على اتنين
+
+275
+00:25:26,530 --> 00:25:33,850
+التانية اربعة و باي على اتنين اذا ال vertex اللى
+
+276
+00:25:33,850 --> 00:25:42,790
+فوق هذه عند النقطة هذه اللى هى اربعة ومين و باي
+
+277
+00:25:42,790 --> 00:25:49,110
+على اتنينإذا خلصنا من ال vertices نجي لل centers
+
+278
+00:25:49,110 --> 00:25:55,270
+ال center بدي يجي في المنتصف هنا يبقى هذا بدي يكون
+
+279
+00:25:55,270 --> 00:26:01,850
+ال center بد الإحداثي تبع ال center يعني أروح أشيل
+
+280
+00:26:01,850 --> 00:26:07,180
+theta و أحط pi على 2 بنفعلأ، ما هو بوي على اتنين
+
+281
+00:26:07,180 --> 00:26:11,940
+صح، بس هالنقطة دي تقع على محيط الالف؟ لأ، يبقى
+
+282
+00:26:11,940 --> 00:26:16,580
+كلامنا غلط، هذا مش صحيح، يبقى الصحيح ان انا اروح
+
+283
+00:26:16,580 --> 00:26:21,890
+من نفس الفكرة، احسبله من؟ قداش اتنين ايه هذه؟يبقى
+
+284
+00:26:21,890 --> 00:26:28,050
+باجي بقوله اتنين ايه يساوي من هنا لهنا اربعة ومن
+
+285
+00:26:28,050 --> 00:26:33,650
+هنا لهنا كده؟ اربعة على تلاتة يبقى اربعة زائد
+
+286
+00:26:33,650 --> 00:26:39,410
+اربعة على تلاتة ويساوي ستاشر على تلاتة يبقى بناء
+
+287
+00:26:39,410 --> 00:26:45,210
+عليه ال ايه بتساوي كده؟تمنية على تلاتة يبقى
+
+288
+00:26:45,210 --> 00:26:49,770
+المسافة من هنا لهنا تمانية على تلاتة والمسافة من
+
+289
+00:26:49,770 --> 00:26:55,230
+هنا لهنا تمانية على تلاتة اذا ال C اللي هو بعض ال
+
+290
+00:26:55,230 --> 00:27:03,010
+focus عن المركز يبقى C هذا بدي اعطيك انه C تساوي
+
+291
+00:27:03,010 --> 00:27:09,030
+تمانية على تلاتةنقص الجزء اللي تحت اللي هو أربعة
+
+292
+00:27:09,030 --> 00:27:15,430
+على تلاتة ويساوي أربعة على تلاتة إذا المسافة هذه
+
+293
+00:27:15,430 --> 00:27:21,070
+كلها كم؟ أربعة على تلاتة إذا ال center صار الإحداث
+
+294
+00:27:21,070 --> 00:27:28,430
+تابعه هو أربعة على تلاتة وθيتا كم؟ Levi على اتنين
+
+295
+00:27:28,430 --> 00:27:31,270
+بروح بقوله the center
+
+296
+00:27:34,530 --> 00:27:41,670
+أربع على تلاتة و باي على اتنين يبقى خلصنا له كمان
+
+297
+00:27:41,670 --> 00:27:50,930
+ال center يبقى
+
+298
+00:27:50,930 --> 00:27:58,970
+يبقى البقرة الأخرى بدأ تيجي هنايبقى المسافة هذه جد
+
+299
+00:27:58,970 --> 00:28:03,350
+المسافة هذه بالضبط تماما، إذا هذه قداش كمان يا
+
+300
+00:28:03,350 --> 00:28:08,570
+شباب؟ أربعة على تلاتة، إذا باجي بقوله the other
+
+301
+00:28:08,570 --> 00:28:09,330
+focus
+
+302
+00:28:15,620 --> 00:28:21,400
+اللي هو تمانية على او خليها بالتفصيل اربعة على
+
+303
+00:28:21,400 --> 00:28:26,680
+تلاتة زائد اربعة تلاتة و باي على اتنين اللي هو
+
+304
+00:28:26,680 --> 00:28:32,720
+تمانية على تلاتة و باي على اتنين انتهينا من المثال
+
+305
+00:28:32,720 --> 00:28:39,620
+حاجة فيكوا لو هي تساول هنا؟ خلاص؟يبقى حتى الآن
+
+306
+00:28:39,620 --> 00:28:44,680
+انتهينا من القطوع المخروطية الثلاثة في ال polar
+
+307
+00:28:44,680 --> 00:28:48,080
+coordinates اللي هي ال parabola و ال ellipse و ال
+
+308
+00:28:48,080 --> 00:28:54,980
+high parabola بدنا نروح لباقي القطوع المخروطية بقى
+
+309
+00:28:54,980 --> 00:29:01,940
+عندنا قطعان مخروطيان القطع الأول هو الخط المستقيم
+
+310
+00:29:01,940 --> 00:29:10,010
+أو ال line والقطع الثاني هو الدائرةيبقى الآن بدنا
+
+311
+00:29:10,010 --> 00:29:17,610
+نيجي لل lines الخطوط المستقيمة لو جيت قلت طرد عندي
+
+312
+00:29:17,610 --> 00:29:23,810
+هاي المحاور I theta تساوي zero و I theta تساوي باي
+
+313
+00:29:23,810 --> 00:29:29,850
+على اتنين روحنا رسمنا الخط لأن مين ما يكون الكون
+
+314
+00:29:29,850 --> 00:29:36,340
+هذا شكله كان بالشكل هذا اللي هو ال line البنبحث عن
+
+315
+00:29:36,340 --> 00:29:42,820
+معادلة هذا ال line باجي
+
+316
+00:29:42,820 --> 00:29:49,280
+من نقطة الأصل و بنزل عمود على هذا الخط العمود هذا
+
+317
+00:29:49,280 --> 00:29:55,020
+هو أقصر مسافة ما بين الخط المستقيم و نقطة الأصل
+
+318
+00:29:55,020 --> 00:30:01,840
+هروح أسميها R naughtأرنود خلتها تعملي الزاوية
+
+319
+00:30:01,840 --> 00:30:07,800
+اسمها theta node مع ال polar axis أو ال initial
+
+320
+00:30:07,800 --> 00:30:16,500
+ray يبقى صار إحداث النقطة هذه هي عبارة عن r node و
+
+321
+00:30:16,500 --> 00:30:22,890
+theta node تمام؟مشان اجيب معادلة هذا الخط بدي اي
+
+322
+00:30:22,890 --> 00:30:28,550
+نقطة تقع على هذا الخط المستقيم فمثلا لو جيتك و
+
+323
+00:30:28,550 --> 00:30:35,350
+قولت خد النقطة هذه مثلا في R و Theta بدنا نعرف وين
+
+324
+00:30:35,350 --> 00:30:40,790
+ال R و وين ال Theta فمن النقطة هذه بنروح نوصل لوين
+
+325
+00:30:40,790 --> 00:30:48,450
+لنقطة الاصل بالشكل اللي عندنا هذا كويس
+
+326
+00:30:48,980 --> 00:30:56,600
+يبقى هذا الخط الغامق هسميه مين؟ هسميه R R هدعم
+
+327
+00:30:56,600 --> 00:31:03,220
+اللي مع ال polar axis زاوية مقدرها كده؟ فتا إذا
+
+328
+00:31:03,220 --> 00:31:08,200
+الزاوية هذه ههه اللي محصورة ما بين الاتنين هدول
+
+329
+00:31:08,200 --> 00:31:13,580
+عبارة عن مين؟ ثيتا ناقص ثيتانود يبقى ثيتا ناقص
+
+330
+00:31:13,580 --> 00:31:17,770
+ثيتانود اللي هي الزاوية اللي عندنا هذهيبقى صرفيا
+
+331
+00:31:17,770 --> 00:31:22,670
+عندي مثلث قائم الزاوية هاي الزاوية القائمة وهذا θ
+
+332
+00:31:22,670 --> 00:31:29,070
+نقص θ node وهذا بلع وهذا بلع معروفين هذا R وهذا R
+
+333
+00:31:29,070 --> 00:31:35,650
+node يبقى بقدر اقوله cosine الزاوية θ نقص θ node
+
+334
+00:31:35,650 --> 00:31:43,060
+يساوي المجاور R node على ال water اللي هو Rيبقى
+
+335
+00:31:43,060 --> 00:31:51,060
+بناء عليه لو روح ضرر ضرب تبادل يبقى R cos θ- θ
+
+336
+00:31:51,060 --> 00:32:00,620
+node يسوى R node هذه ال equation of a line in
+
+337
+00:32:00,620 --> 00:32:03,960
+polar coordinates
+
+338
+00:32:07,060 --> 00:32:10,460
+يبقى هذه معادلة الخط المستقيم في الإحداثيات
+
+339
+00:32:10,460 --> 00:32:15,660
+القطبية بدنا نيجي أخر حاجة اللي هي ال circles
+
+340
+00:32:15,660 --> 00:32:23,300
+الدوائر كويس بنفس الطريقة بدنا نروح نجيب معادلة
+
+341
+00:32:23,300 --> 00:32:28,310
+الدائرةيبقى مشان نجيب معاية الدائرة بنروح نقول
+
+342
+00:32:28,310 --> 00:32:34,910
+بنفس الفكرة هذا θ تساوي zero و هذا θ تساوي πي على
+
+343
+00:32:34,910 --> 00:32:40,390
+اتنين و روحنا رسمنا الدائرة فكانت الدائرة على
+
+344
+00:32:40,390 --> 00:32:46,890
+الشكل اللي عندنا هذاتمام؟ روحنا للمركز تبع هذه
+
+345
+00:32:46,890 --> 00:32:52,590
+الدائرة وليكن النقطة اللي عندنا هذه وصلنا من مركز
+
+346
+00:32:52,590 --> 00:33:02,130
+الدائرة إلى نقطة الأصل فسميته هذا هو R0 أخدت أي
+
+347
+00:33:02,130 --> 00:33:08,530
+نقطة موجودة على محيط الدائرة وليكن النقطة هذه يبقى
+
+348
+00:33:08,530 --> 00:33:17,690
+هذه سميتها PR وθوصلت من النقطة هذه إلى نقطة الأصل
+
+349
+00:33:17,690 --> 00:33:25,090
+الشكل اللي عندنا هنا رحت سميت هذا الخط اللي هو R
+
+350
+00:33:25,090 --> 00:33:31,070
+الزاوية اللي عملها لهذه كلها الزاوية ثيتا هذه
+
+351
+00:33:31,070 --> 00:33:38,620
+الزاوية الصغيرة لثيتا نودإذا صارت الزاوية المحصورة
+
+352
+00:33:38,620 --> 00:33:47,540
+ما بين الاتنين هذه التي هي θ ناقص θ نوت وصلت من
+
+353
+00:33:47,540 --> 00:33:53,760
+النقطة اللي عندنا إلى ال center هذا شو يمثل الخط
+
+354
+00:33:53,760 --> 00:34:02,700
+اللي أذك بالنسبة للدائرة نص القدر هسميه aطبعا إذا
+
+355
+00:34:02,700 --> 00:34:08,600
+معادلة الدائرة هذه بدي أجيبها من وين؟ من قاعدة GU
+
+356
+00:34:08,600 --> 00:34:14,220
+بالتمام ال law of cosine لآخر نقطة نظرية خدناها في
+
+357
+00:34:14,220 --> 00:34:18,740
+section 1,3 في الcalculusية و اللي خدتها برضه في
+
+358
+00:34:18,740 --> 00:34:24,710
+الثانوية طبعا نقولك كيف؟لو كان عندى هى خطين
+
+359
+00:34:24,710 --> 00:34:30,230
+مستقيمين حصروا بينهم زاوية وعيسى اليمين الزاوية
+
+360
+00:34:30,230 --> 00:34:34,930
+اللى عندنا هنى بدي جيب تمام الزاوية هدى بقوله جيب
+
+361
+00:34:34,930 --> 00:34:39,530
+تمام الزاوية هدى و الساوي اتبلعها ده تربيع زاد
+
+362
+00:34:39,530 --> 00:34:44,230
+اتبلعها ده تربيع نقص اتبلعها ده تربيع على اتنين
+
+363
+00:34:44,230 --> 00:34:50,810
+حاصل ضربه هنا مظبوط يبقى باجى على بلعي الزاوية وين
+
+364
+00:34:50,810 --> 00:34:57,380
+بلعي الزاوية؟اي واحد وهذا الثاني يبقى باجي بقوله
+
+365
+00:34:57,380 --> 00:35:06,440
+cosine θ ناقص θ node يساوي r تربيع زائد r node
+
+366
+00:35:06,440 --> 00:35:17,040
+تربيع ناقص a تربيع على الإتنين r node في a أي مثلث
+
+367
+00:35:17,040 --> 00:35:21,760
+مين ما يكون شكله يكونباجي بقول مربع الضلع الجيب
+
+368
+00:35:21,760 --> 00:35:25,840
+التمام يسمى مربع الضلع الأول زي مربع الضلع الثاني
+
+369
+00:35:25,840 --> 00:35:30,180
+اللي هم عملولي الزاوية ناقص الضلع مربع الضلع
+
+370
+00:35:30,180 --> 00:35:36,060
+المقابل لزاوية على اتنين حاصل ضرب ضلعها على اتنين
+
+371
+00:35:36,060 --> 00:35:43,140
+R node R لو ضربنا ضرب تبادل يصير اتنين R node R في
+
+372
+00:35:43,140 --> 00:35:43,640
+cosine
+
+373
+00:35:52,640 --> 00:36:00,710
+أو المعادلة هذه ممكن احطها على الشكل التاليزائد R
+
+374
+00:36:00,710 --> 00:36:08,990
+نود تربية ناقص اتنين R نود R في Cos θ ناقص θ نود
+
+375
+00:36:08,990 --> 00:36:16,330
+كله بده يسوي تربية يبقى هذه معادلة الدائرة في
+
+376
+00:36:16,330 --> 00:36:21,710
+الصورة اللي قدامنا هذه تمام؟ بدنا نروح ناخد حالات
+
+377
+00:36:21,710 --> 00:36:27,870
+خاصة لهذه الدائرةلو جيت قلت هي المحاور الشكل اللي
+
+378
+00:36:27,870 --> 00:36:33,670
+عندنا هذا هيك و قلت هذا θ تسوى zero و هذا θ يسوى
+
+379
+00:36:33,670 --> 00:36:40,050
+pi على اتنين جيت على الدائرة دي و خلتها تمر بنقطة
+
+380
+00:36:40,050 --> 00:36:44,570
+الأصل يعني صارت بالشكل اللي عندنا هذا هيك
+
+381
+00:36:48,820 --> 00:36:53,900
+يبقى صار هذا شكل الدائرة، يبقى هذا هو ال center
+
+382
+00:36:53,900 --> 00:37:00,140
+تبعها السؤال لكم، هذا إيش يعتبر بالنسبة للدائرة؟
+
+383
+00:37:00,140 --> 00:37:06,420
+نصف الخضراء، طب شو العلاقة بينه وبين أرنود؟ سيصيب
+
+384
+00:37:06,420 --> 00:37:12,480
+هو نفسه، تمام؟ يبقى بروح بقوله هنا، special cases
+
+385
+00:37:13,340 --> 00:37:22,560
+Special cases حالات خاصة نمر واحد if the circle
+
+386
+00:37:22,560 --> 00:37:37,520
+passes through the origin then ال R node بده يساوي
+
+387
+00:37:37,520 --> 00:37:45,370
+A لما يساوي A هذا بده يعطيكبالله لان هذي R نود
+
+388
+00:37:45,370 --> 00:37:51,210
+هوديها وين عند ال A نود يبقى بتروح شو بيبقى لاندي؟
+
+389
+00:37:51,210 --> 00:38:00,330
+بيبقى لاندي R تربية ناقص اتنين R نود R في cosine θ
+
+390
+00:38:00,330 --> 00:38:07,610
+ناقص θ نود يساوي Zero لو قسمت الطرفين على R شو
+
+391
+00:38:07,610 --> 00:38:08,850
+اللي بيحصل لاندي؟
+
+392
+00:38:16,470 --> 00:38:24,470
+ماذا يحصل عندك؟ بيصير عندك R ناقص اتنين R نود R
+
+393
+00:38:24,470 --> 00:38:32,070
+نود تسميها ايه الآن؟ ناقص اتنين A في cos θ ناقص θ
+
+394
+00:38:32,070 --> 00:38:39,230
+نود بده يسوى Zero يبقى تصبح ال R يسوى اتنين A cos
+
+395
+00:38:39,230 --> 00:38:46,800
+θ ناقص θ نوديبقى الدائرة اللى عندنا هذه أصبحت
+
+396
+00:38:46,800 --> 00:38:53,220
+معدلتها اللى فوق يبقى هذه r يسوى اتنين a cosine
+
+397
+00:38:53,220 --> 00:38:59,240
+theta ناقص theta node بتاخد كمان حالات خاصة منها
+
+398
+00:38:59,240 --> 00:39:04,720
+لو ال center هذا خليته ييجي على الاتجاه الموجب لل
+
+399
+00:39:04,720 --> 00:39:11,620
+positive x axis يبقى بيصير هنا theta node بقداشهذه
+
+400
+00:39:11,620 --> 00:39:17,300
+تيتا نوت الآن عندى يبقى تيتا نوت كده ما تصبح مركز
+
+401
+00:39:17,300 --> 00:39:23,020
+هذا نزلته و جبته على محر اكسل موجر يبقى كده؟ Zero
+
+402
+00:39:23,020 --> 00:39:34,100
+يبقى بجي بقوله هذا نمر اتنين if the center is on
+
+403
+00:39:34,100 --> 00:39:38,260
+the positive
+
+404
+00:39:40,670 --> 00:39:48,450
+عن طريق X اكسيز ثم ثيتا نوت بده تساوي زيرو لما
+
+405
+00:39:48,450 --> 00:39:56,190
+ثيتا نوت تساوي زيرو بيصير R يساوي اتنين A كوسين فد
+
+406
+00:39:58,430 --> 00:40:02,490
+هذا لو وقعت على ال positive x axis، طب لو وقعت على
+
+407
+00:40:02,490 --> 00:40:08,550
+ال negative x axis يبقى θ ناقص بيها تصبح Pi إذا
+
+408
+00:40:08,550 --> 00:40:15,750
+لما تصبح Pi بصير cosine، هذا θ ناقص Piبدي افكها
+
+409
+00:40:15,750 --> 00:40:20,330
+يبقى cosine theta cosine by z sin theta sin by sin
+
+410
+00:40:20,330 --> 00:40:24,210
+by ب zero و cosine theta بسالب واحد يبقى نفس
+
+411
+00:40:24,210 --> 00:40:30,150
+المعادلة بس بإشارة من بإشارة سالب إذا لو روحت خدت
+
+412
+00:40:30,150 --> 00:40:36,630
+المحاور بالشكل هذا هيك و قلت هذا محور X و هذا محور
+
+413
+00:40:36,630 --> 00:40:44,510
+Y و هذه نقطة الأصل و رسمت هاتين الدائرتينبتجي
+
+414
+00:40:44,510 --> 00:40:49,930
+الدائرة بالشكل هذا الدائرة الأولى بالشكل عندنا هذا
+
+415
+00:40:49,930 --> 00:40:53,150
+وبتجي
+
+416
+00:40:53,150 --> 00:41:00,130
+الدائرة التانية بالشكل التاني هذاهذه الدائرة
+
+417
+00:41:00,130 --> 00:41:06,950
+معدلتها R يسوى 2A في Cos الزاوية ثيتا وهذه R تسوى
+
+418
+00:41:06,950 --> 00:41:13,990
+سالب 2A في Cos الزاوية ثيتا هذا المركز تبع الدائرة
+
+419
+00:41:13,990 --> 00:41:20,370
+الأولى وهذا هو المركز تبع الدائرة الثانية طيب نمرح
+
+420
+00:41:20,370 --> 00:41:27,690
+تلاتةلو المركز وقع على ال positive y axis يعني اين
+
+421
+00:41:27,690 --> 00:41:32,330
+المركز بدل ما ننزلناه هنا جيبناه على محور y يبقى θ
+
+422
+00:41:32,330 --> 00:41:38,390
+نود بقداش باي يبقى بيصير المعادلة اللي عندنا هذه
+
+423
+00:41:38,390 --> 00:41:44,570
+باي على اتنين بيصير cosine θ cosine باي على اتنين
+
+424
+00:41:44,570 --> 00:41:50,110
+cosine باي على اتنين بقداش zero زائد sin θ sin باي
+
+425
+00:41:50,110 --> 00:41:54,100
+على اتنين sin باي على اتنين بقداشبواحد يبقى بصير
+
+426
+00:41:54,100 --> 00:42:05,380
+اتنين a sin θ يبقى هنا if the center is on the
+
+427
+00:42:05,380 --> 00:42:16,840
+positive y axis then θ node بدها تساوي لبي على
+
+428
+00:42:16,840 --> 00:42:29,290
+اتنين andبالتالي الاسم هو R يساوي اتنين A في صيني
+
+429
+00:42:29,290 --> 00:42:37,030
+الزاويةلكن لو اتوقع على Y السالب يبقى θ بسالب بي
+
+430
+00:42:37,030 --> 00:42:42,250
+على اتنين او بثلاثة بي على اتنين تطلع نفس المعادلة
+
+431
+00:42:42,250 --> 00:42:48,830
+هذه بس بإشارة من بإشارة سالب يبقى هذا θ تساوي zero
+
+432
+00:42:48,830 --> 00:42:55,830
+وهذا θ تساوي بيعلى اتنين، لو روحت رسمت هتين
+
+433
+00:42:55,830 --> 00:43:00,550
+الدائرتين يبقى الدائرة الأولى بدها تجينا بالشكل
+
+434
+00:43:00,550 --> 00:43:05,790
+هذا هيك والدائرة التانية بدها تيجي بالشكل التاني
+
+435
+00:43:05,790 --> 00:43:12,570
+هيكتمام هاي ال center تبعها وهي ال center تبع
+
+436
+00:43:12,570 --> 00:43:19,890
+التانية الدائرة الأولى معدلتها R يساوي 2A في صين
+
+437
+00:43:19,890 --> 00:43:26,770
+الزاوية ثيتا والمعادلة التانية R ناقص 2A في صين
+
+438
+00:43:26,770 --> 00:43:32,430
+الزاوية ثيتا في عندك بعض المسائل هه لما انطلبنا
+
+439
+00:43:32,430 --> 00:43:34,370
+نحسب المساحة فيه زي هيك
+
+440
+00:43:52,220 --> 00:44:01,180
+بناخد مثال على الخط المستقيم نقطة
+
+441
+00:44:01,180 --> 00:44:02,940
+بسيطة وبعدها بصير خير
+
+442
+00:44:07,010 --> 00:44:13,370
+يبقى example بيقول
+
+443
+00:44:13,370 --> 00:44:21,550
+sketch the line sketch the line ارسم للخط المستقيم
+
+444
+00:44:21,550 --> 00:44:31,270
+r cosine theta r cosine theta ناقص اتنين by على
+
+445
+00:44:31,270 --> 00:44:38,040
+تلاتةأو R cos theta نقص اثنين باية على تلاتة بده
+
+446
+00:44:38,040 --> 00:44:52,280
+يساوي قداش تلاتة and find its cartesian equation
+
+447
+00:44:52,280 --> 00:44:58,540
+وبدنا المعادلة الكارتيزية هلو بنقوله بسيطة جدا
+
+448
+00:45:28,210 --> 00:45:34,430
+مشان نرسم الخط المستقيم هذا بدي احاول اجيب نقطتين
+
+449
+00:45:34,430 --> 00:45:39,380
+على هذا الخط المستقيمبدي اختارهم بطريقة ذكية هيك
+
+450
+00:45:39,380 --> 00:45:45,200
+شوية لو قلت بدي تقطع الخط المستقيم مع محور X يبقى
+
+451
+00:45:45,200 --> 00:45:52,400
+θ كده بتكون؟ Zero تمام يبقى باجي بقوله هنا F θ
+
+452
+00:45:52,400 --> 00:46:01,320
+تساوي Zero then ال R فيه cosine سالب اتنين Pi على
+
+453
+00:46:01,320 --> 00:46:07,980
+تلاتة بده تساوي تلاتة ال cosine even والله oddيبقى
+
+454
+00:46:07,980 --> 00:46:15,600
+السالب هذا مع السلامة، يبقى صارت هذه R بتدهك إلى
+
+455
+00:46:15,600 --> 00:46:24,740
+cos 120 اللي هي cos 60 بس بإشارة سالب، cos 60 اللي
+
+456
+00:46:24,740 --> 00:46:33,430
+هي كده؟نص بس بالسالب يبقى R في سالب نص بده يساوي
+
+457
+00:46:33,430 --> 00:46:41,950
+قداش تلاتة ومنها R تساوي سالب ستة يبقى صار إحداث
+
+458
+00:46:41,950 --> 00:46:48,950
+النقطة الأولى هي سالب ستة و Zeroطيب بدنا نجيب نقطة
+
+459
+00:46:48,950 --> 00:46:54,190
+تانية فباخد لو كان ال theta تسوي by على اتنين مثلا
+
+460
+00:46:54,190 --> 00:47:02,750
+then ال R cosine by على اتنين نقص اتنين by على
+
+461
+00:47:02,750 --> 00:47:09,270
+تلاتة بده يسوي تلاتة هذا بده يعطيك R cosineتسعين
+
+462
+00:47:09,270 --> 00:47:16,930
+موجة بمية و عشرين سالب بظل سالب باي على ستة بده
+
+463
+00:47:16,930 --> 00:47:22,370
+يسوى تلاتة ال cosine even يبقى سالب مع السلمجة
+
+464
+00:47:22,370 --> 00:47:30,170
+تلاتين بجذر تلاتة على اتنين يبقى جذر تلاتة على
+
+465
+00:47:30,170 --> 00:47:31,870
+اتنين R
+
+466
+00:47:35,780 --> 00:47:45,370
+يبقى R يسوى 6 على جذر التلاتةلو ضربت في جذر ثلاثة
+
+467
+00:47:45,370 --> 00:47:52,930
+على جذر ثلاثة ابتدي قداش اتنين جذر ثلاثة يبقى أصبح
+
+468
+00:47:52,930 --> 00:47:59,830
+عندنا النقطة تين the points النقطة الأولى اللي هي
+
+469
+00:47:59,830 --> 00:48:07,890
+قداش Rقالة سلب ستة وزيرو سلب ستة وزيرو and النقطة
+
+470
+00:48:07,890 --> 00:48:14,980
+التانية طلعت R اتنينجذر تلاتة وباي على اتنين هذول
+
+471
+00:48:14,980 --> 00:48:23,040
+are on the line يبقى لو روحت رسمت المحاول بالشكل
+
+472
+00:48:23,040 --> 00:48:27,680
+ان هذا وقلنا هذا ثيتا تساوي زيرو وهذا ثيتا تساوي
+
+473
+00:48:27,680 --> 00:48:33,020
+باي على اتنين لما ثيتا تساوي زيرو R تساوي كده؟
+
+474
+00:48:33,020 --> 00:48:38,700
+سالب ستة يبقى سالب ستة وزيرو لما ثيتا باي على
+
+475
+00:48:38,700 --> 00:48:43,280
+اتنينبتنين جذر تلاتة جذر تلاتة في واحد وسبعة من
+
+476
+00:48:43,280 --> 00:48:50,060
+عشرة في اتنين تلاتة واربعة من عشرة يعني النقطة هذه
+
+477
+00:48:50,060 --> 00:48:56,100
+يبقى اتنين جذر تلاتة و باي على اتنين نوصل بين
+
+478
+00:48:56,100 --> 00:49:02,420
+هاتين النقطتين بيكون جيبنا من؟ جيبنا الخط المستقيم
+
+479
+00:49:02,420 --> 00:49:06,800
+اللي عندنابعدها الجلي هاتلي find its cartesian
+
+480
+00:49:06,800 --> 00:49:12,680
+equation بدنا المعادلة الكارتيزية بالنسبة له بنقول
+
+481
+00:49:12,680 --> 00:49:15,860
+بسيطة هذه اللي كنا بنعملها في أول section في ال
+
+482
+00:49:15,860 --> 00:49:19,420
+polar coordinates الصيغة المعطاة في الصيقة القطبية
+
+483
+00:49:19,420 --> 00:49:24,360
+و بدي أحولها إلى من؟ إلى الصيغة الكارتيزية يبقى
+
+484
+00:49:24,360 --> 00:49:32,070
+برجع للمعادلة هذه و بكتبها في الشكل التالييبقى R
+
+485
+00:49:32,070 --> 00:49:46,230
+في cos θ cos 2pi على 3 زائد sin θ
+
+486
+00:49:46,230 --> 00:49:54,810
+sin 2pi على 3 كل هذا الكلام بده يساوي قداشر تلاتة
+
+487
+00:49:54,810 --> 00:50:03,220
+نيجي هنا هذه R cos θ فيهلان جت ال 120 هي جت ال 60
+
+488
+00:50:03,220 --> 00:50:10,360
+بالسالب يبقى السالب قداش سالب نص اللي بعديها زاد
+
+489
+00:50:10,360 --> 00:50:14,640
+جاب ال 120 هو جت ال 60 بالموجب في الرابع التاني
+
+490
+00:50:14,640 --> 00:50:18,650
+اللي جاب موجبيبقى جيب الستين هو جدر تلاتة على
+
+491
+00:50:18,650 --> 00:50:26,170
+اتنين يبقى R sin θ في جدر تلاتة على اتنين بده
+
+492
+00:50:26,170 --> 00:50:33,010
+يستوي قداش تلاتة لو ضربت كله في اتنين وشلت R cos θ
+
+493
+00:50:33,010 --> 00:50:33,790
+هذه معلها
+
+494
+00:50:52,480 --> 00:50:59,600
+أخر مثال على الدائرة مثال صغير جدا بيقول لي ما
+
+495
+00:50:59,600 --> 00:51:00,200
+يأتي
+
+496
+00:51:07,520 --> 00:51:14,620
+بقول sketch the circle
+
+497
+00:51:14,620 --> 00:51:16,800
+أرسم الدائرة
+
+498
+00:51:26,490 --> 00:51:33,370
+Find its center بدنا المركز تبعها in polar
+
+499
+00:51:33,370 --> 00:51:43,090
+coordinates in polar coordinates في الأحداثيات
+
+500
+00:51:43,090 --> 00:51:53,930
+القطبية and find its radius بدنا جداش نصف القطر
+
+501
+00:51:56,630 --> 00:52:02,410
+يبقى solution الدائرة
+
+502
+00:52:02,410 --> 00:52:09,970
+هذه الصيغة المناظرة لها سالب تمانية sin ثيتا هي
+
+503
+00:52:09,970 --> 00:52:15,540
+سالب اتنين في sin ثيتااللي ما سمناه هناك تحت،
+
+504
+00:52:15,540 --> 00:52:20,400
+مظبوط؟ يبقى بناء ان عليه بدي يكون عندنا مين؟
+
+505
+00:52:20,400 --> 00:52:26,160
+الاتنين ايه بدي سوى كده اش تمانية؟ يبقى الايه بدي
+
+506
+00:52:26,160 --> 00:52:31,060
+سوى كده اش اربعة؟ يبقى أجابنا على المطلوب الثاني
+
+507
+00:52:31,060 --> 00:52:34,740
+وهو ال radius يبقى ال radius
+
+508
+00:52:44,460 --> 00:52:50,920
+بنرسم الدائرة هذه ونحدد ال center تبعها على الصيغة
+
+509
+00:52:50,920 --> 00:52:52,440
+التالية اللي عندنا
+
+510
+00:52:56,160 --> 00:53:00,380
+هذه الدائرة اللي هي بالسالب يبقى الدائرة اللي تحت
+
+511
+00:53:00,380 --> 00:53:04,580
+يبقى لو روحت رسمت المحاور المحاور بالشكل اللي
+
+512
+00:53:04,580 --> 00:53:11,800
+عندنا هذا θ تساوي zero و هنا θ تساوي πي على اتنين
+
+513
+00:53:11,800 --> 00:53:22,490
+وهذه الدائرة اليمين اللي رتساوي سالب تمانية صين
+
+514
+00:53:22,490 --> 00:53:28,650
+الزاوية ثيتا و I ال center قل هاتل ال center بقوله
+
+515
+00:53:28,650 --> 00:53:35,650
+بسيطة قداش نصف القطر هذا اربعة يبقى هذه اربعة قداش
+
+516
+00:53:35,650 --> 00:53:41,530
+الزاوية مشان ترسم هذه الدار يبقى سالب I على اتنين
+
+517
+00:53:41,530 --> 00:53:49,080
+يبقى باجي بقوله the center of the circlecentre of
+
+518
+00:53:49,080 --> 00:53:57,620
+the circle is أربعة و باية على اتنين
+
+519
+00:54:05,920 --> 00:54:12,360
+صح؟ من المية واحد تالت قالوا لأ بدي اكتبها تلاتة
+
+520
+00:54:12,360 --> 00:54:17,060
+باي على اتنين اربعة و تلاتة باي على اتنين مارضه
+
+521
+00:54:17,060 --> 00:54:22,100
+ماشي كلهم قارئوا كفلات لحد هنا stop بنروح ل
+
+522
+00:54:22,100 --> 00:54:29,380
+exercises احد عشر سبعة المسائل من واحد لاربعة
+
+523
+00:54:29,380 --> 00:54:36,500
+وستين اللي هو ال multiple ofالثالث، يعطيك العافية
+
+524
+00:54:36,500 --> 00:54:45,640
+يبقى وصلنا الآن إلى الامتحان شدوا حيلكم كل اللي
+
+525
+00:54:45,640 --> 00:54:52,780
+أخدته مطلوب الامتحان سيكون شاملا يعني من أول ما
+
+526
+00:54:52,780 --> 00:55:01,390
+درست وحتى يومنا هذامن أول من بداية chapter 7 وحتى
+
+527
+00:55:01,390 --> 00:55:06,810
+نهاية chapter 11 كل وقت معاك داخل في الامتحان
+
+528
+00:55:06,810 --> 00:55:11,750
+نتمنا لكم التوفيق و النجاح ان شاء الله
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ff8bdf6994e78df9df8aafbe64c56d65740daa08
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE.srt
@@ -0,0 +1,1599 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,530 --> 00:00:16,310
+بسم الله الرحمن الرحيم الشطر 11 هذا بيتكلم عن
+
+3
+00:00:16,310 --> 00:00:21,210
+نقطتين أساسيتين النقطة الأولى هي ال parametric
+
+4
+00:00:21,210 --> 00:00:25,030
+equations والنقطة الثانية هي polar coordinates
+
+5
+00:00:25,030 --> 00:00:29,870
+الإحداثيات القطبية و ال parametric equations
+
+6
+00:00:29,870 --> 00:00:37,800
+المعادلات البارامترية أو المعادلات الوسيطية نجي 
+
+7
+00:00:37,800 --> 00:00:43,100
+لسيكشن الأول بيتكلم عن parameterization of a plane
+
+8
+00:00:43,100 --> 00:00:47,240
+curve إحنا متعودين على العادة إن يكون دائماً وأبداً
+
+9
+00:00:47,240 --> 00:00:52,820
+بدلالة x و y يعني معادلة تربط بين المتغيرين x و y
+
+10
+00:00:52,820 --> 00:00:58,180
+و بنشتغل عليها وهكذا لكن ده مدخل اللي هو متغير ثالث
+
+11
+00:00:58,180 --> 00:01:04,240
+المضمن بالاثنين كويس هذا المتغير اللي هو الوسيط أو 
+
+12
+00:01:04,240 --> 00:01:10,780
+ال parameter يبقى parameter يبقى هو المتغير الجديد
+
+13
+00:01:10,780 --> 00:01:15,520
+اللي بيدخل بين المتغيرين X وY وبالتالي بنكتب ال X
+
+14
+00:01:15,520 --> 00:01:21,780
+وY بدلالة هذا المتغير الجديد اللي هنسميه هنا اللي
+
+15
+00:01:21,780 --> 00:01:26,660
+هو T عندما أقول parameterization of a plane curve
+
+16
+00:01:26,660 --> 00:01:33,160
+المنحنى المقطع بدلالة x و y سأحوله إلى منحنى بدلالة
+
+17
+00:01:33,160 --> 00:01:38,160
+t أو العكس المنحنى المقطع بدلالة t سأحذف t ما بين
+
+18
+00:01:38,160 --> 00:01:42,960
+المتغيرات اللي عندي و أخلي بس عندي من x و y
+
+19
+00:01:42,960 --> 00:01:46,460
+العملية هذه هي اللي بسميها parameterization of a
+
+20
+00:01:46,460 --> 00:01:52,200
+plane curve نعطي تعريف قال لو عندك X هي function في
+
+21
+00:01:52,200 --> 00:01:58,240
+T و Y هي function في T عبارة عن دوال مقطوعة في T و T
+
+22
+00:01:58,240 --> 00:02:02,300
+موجودة في ال interval I ولا محدد طبيعة ال interval
+
+23
+00:02:02,300 --> 00:02:02,740
+I
+
+24
+00:02:09,740 --> 00:02:16,800
+مجموعة النقاط X وY أو X هي F of T وY هي G of T
+
+25
+00:02:16,800 --> 00:02:21,800
+مجموعة النقاط هذول is a parametric curve المنحنى
+
+26
+00:02:21,800 --> 00:02:26,660
+الوسيطي أو المنحنى البارامتري يعني بدل ما كان
+
+27
+00:02:26,660 --> 00:02:29,740
+بدلالة X وY خليته بدلالة T
+
+28
+00:02:36,780 --> 00:02:42,240
+المعادلات البارامترية لهذا المنحنى يبقى المعادلات
+
+29
+00:02:42,240 --> 00:02:47,000
+البارامترية لهذا المنحنى وT بسميه الوسيط أو ال
+
+30
+00:02:47,000 --> 00:02:52,060
+parameter لهذا المنحنى على أي حال لو عندي منحنى في
+
+31
+00:02:52,060 --> 00:02:55,320
+الصيغة الديكارتية و بدي اكتبه على الصيغة
+
+32
+00:02:55,320 --> 00:03:00,390
+البارامترية يمكن كتابته بأكثر من طريقة يعني ليس
+
+33
+00:03:00,390 --> 00:03:04,210
+بالضرورة تكون طريقة واحدة ما فيش غيرها، يمكن نكتبه
+
+34
+00:03:04,210 --> 00:03:08,490
+بطريقتين، يمكن بثلاثة، يمكن بأربعة، إلى آخره نرجع
+
+35
+00:03:08,490 --> 00:03:13,090
+نكتب هذا في الملاحظة التالية المنحنى المعطى يمكن
+
+36
+00:03:13,090 --> 00:03:18,750
+أن يمثل represented يعني يمثل by a different sets
+
+37
+00:03:18,750 --> 00:03:22,570
+of parametric equations بمجموعة مختلفة من
+
+38
+00:03:22,570 --> 00:03:27,050
+المعادلات البارامترية شكلها ما يجربوش لبعض لكن
+
+39
+00:03:27,050 --> 00:03:30,990
+لو حولتهم إلى صيغة ديكارتية بتطلع منهم نفس
+
+40
+00:03:30,990 --> 00:03:36,260
+المعادلة إذا المعادلة الديكارتية لها أكثر من شكل في
+
+41
+00:03:36,260 --> 00:03:41,480
+الصيغة البارامترية نبدأ نعطي أمثلة ونشوف كيف بدنا
+
+42
+00:03:41,480 --> 00:03:46,420
+نشتغل في هذا ال section بيقول لي المعادلات التالية
+
+43
+00:03:46,420 --> 00:03:52,280
+بتصف حركة جسم في ال XY plane لو أخذت محور السينات
+
+44
+00:03:52,280 --> 00:03:57,260
+ومحور الصادات أو محور X ومحور Y يبقى بالمحورين في
+
+45
+00:03:57,260 --> 00:04:03,800
+المستوى تمام؟ في جسم بيتحرك في هذا المستوى بيقول
+
+46
+00:04:03,800 --> 00:04:09,730
+ليش؟ identify the particles path بدك تحدد لي مسار
+
+47
+00:04:09,730 --> 00:04:14,650
+الجسيم هذا إيه يعني مسار الجسيم يعني المنحنى اللي
+
+48
+00:04:14,650 --> 00:04:20,050
+بيعمله الجسيم أثناء حركته هل هو خط مستقيم، هل هو
+
+49
+00:04:20,050 --> 00:04:24,570
+دائرة، هل هو قطع مكافئ، هاي قطع مكافئ، منحنى way to say
+
+50
+00:04:24,570 --> 00:04:29,090
+واحد عليك، أي المنحنيات، من هالمنحنيات اللي أنتَ
+
+51
+00:04:29,090 --> 00:04:34,760
+بتعرفها ما دام عرفتها هات لي ال kartesian equation
+
+52
+00:04:34,760 --> 00:04:39,040
+واروح ارسم لي ال kartesian equation منشان نعرف ما هو
+
+53
+00:04:39,040 --> 00:04:44,020
+الشكل هذا المنحنى تلاتة بين اتجاه الحركة طالعة
+
+54
+00:04:44,020 --> 00:04:48,880
+نازلة مع عقارب الساعة ضد عقارب الساعة لليمين للشمال
+
+55
+00:04:48,880 --> 00:04:53,120
+إلى أعلى إلى أسفل كل هذا بدك تحدده ليه و تبينه ليه
+
+56
+00:04:53,370 --> 00:04:58,350
+الآن فينا مجموعة من الأمثلة عالمين على هذه
+
+57
+00:04:58,350 --> 00:05:03,070
+المطاليب التلاتة أول مثال بيقول لو كان x يساوي cos
+
+58
+00:05:03,070 --> 00:05:10,430
+t و y يساوي sin t و T حصرناها فقط من Zero لغاية Pi
+
+59
+00:05:10,430 --> 00:05:14,670
+قال لي على هذا المنحنى بدنا نجيب المطاليب التلاتة
+
+60
+00:05:14,670 --> 00:05:18,850
+هذه قال لي اتفقدي ال particles first شوفي المسار
+
+61
+00:05:18,850 --> 00:05:22,690
+تبع الجسم هذا عبارة عن إيش بقول له إيه؟ بده أجيب
+
+62
+00:05:22,690 --> 00:05:28,070
+المعادلتين البارامتريتين الاثنين هذول أضيع T بين
+
+63
+00:05:28,070 --> 00:05:33,530
+X وY واخد المعادلة بدل X وY وبالتالي بعرف مسار
+
+64
+00:05:33,530 --> 00:05:39,650
+الجسم هذا السؤال هو كيف بدي أضيع T بين الاثنين
+
+65
+00:05:39,650 --> 00:05:45,090
+هذين طبعاً بأكثر من طريقة في طريقة تعلمناها في
+
+66
+00:05:45,090 --> 00:05:46,030
+calculus B
+
+67
+00:05:49,280 --> 00:05:54,980
+بقدر أقول له T تساوي cosine inverse X وشيل ال T
+
+68
+00:05:54,980 --> 00:06:00,520
+هذه و احطها sine ل cosine inverse X مظبوط؟ وبعد
+
+69
+00:06:00,520 --> 00:06:04,500
+ذلك هجيب sine ل cosine inverse X شو شكلها يعني
+
+70
+00:06:04,500 --> 00:06:09,300
+اختصرها بال 3X وبالتالي بجيب المعادلة واحد اشتر
+
+71
+00:06:09,300 --> 00:06:13,920
+منها شوية جالك وقوله شلق الكعب أخذت المتطابقات
+
+72
+00:06:13,920 --> 00:06:17,600
+ال مثلثية في calculus بقوله صحيح بقى أنا مستطيع
+
+73
+00:06:17,600 --> 00:06:20,920
+استخدام المتطابقات المثلثية ولا أجيب معك وسبالة
+
+74
+00:06:20,920 --> 00:06:26,600
+ولا غيره بقولك إذا ربعت هذه و ربعت هذه و جمعت بيطلع
+
+75
+00:06:26,600 --> 00:06:30,430
+واحد صحيح بيضلش عندي T يقولوا والله كلامك مزبوط، برضه
+
+76
+00:06:30,430 --> 00:06:35,830
+هذه طريقة لسه أبسط من طريقتنا الأولى يبقى أنتَ حل
+
+77
+00:06:35,830 --> 00:06:40,590
+بالطريقة اللي تقدر عليها طير لي T بين المعادلتين
+
+78
+00:06:40,590 --> 00:06:46,090
+وهاتي معادلة واحدة بدون ت  بين X وY يبقى إحنا لو
+
+79
+00:06:46,090 --> 00:06:52,840
+جينا هنا قلنا المطلوب الأول لهذا السؤال أخذت X
+
+80
+00:06:52,840 --> 00:06:59,660
+تربيع زائد Y تربيع يبقى تساوي Cos تربيع T زائد Sin
+
+81
+00:06:59,660 --> 00:07:05,180
+تربيع T هذا بدي يعطيك إن X تربيع زائد Y تربيع
+
+82
+00:07:05,180 --> 00:07:14,700
+يساوي كده؟ ما عدلتش هذه يبقى هذه equation of a
+
+83
+00:07:14,700 --> 00:07:19,200
+circle with center
+
+84
+00:07:20,350 --> 00:07:31,170
+at the origin and radius اللي
+
+85
+00:07:31,170 --> 00:07:37,190
+هو one طيب كويسة، هذه معلومة كويسة، الآن بدنا نروح
+
+86
+00:07:37,190 --> 00:07:42,830
+نرسم الرسمة بتاعتنا، أبصر تطلع دائرة كاملة،
+
+87
+00:07:42,830 --> 00:07:48,770
+الدائرة تلف مرتين، تلاتة، نصف دائرة، ربع دائرة،
+
+88
+00:07:48,770 --> 00:07:52,830
+الجد ما يطلع يطلع، المهم أنا مقيد بالفترة اللي
+
+89
+00:07:52,830 --> 00:07:57,030
+أعطاها ليها دي، تمام؟ لذلك بدأ أجيب له للنقطة
+
+90
+00:07:57,030 --> 00:08:03,860
+الثانية بدي أحسب اللي هو قيمة المعادلة أو قيمة
+
+91
+00:08:03,860 --> 00:08:08,020
+النقاط اللي بدي أتحرك عليها الجسم خلال الفترة اللي
+
+92
+00:08:08,020 --> 00:08:14,900
+عندنا هذه فباجي بقول له لو كانت ال T تساوي 0 then X
+
+93
+00:08:14,900 --> 00:08:19,760
+وY بدّه يساوي اللي هو مين لشان أول مرة بدّه أكتبها
+
+94
+00:08:19,760 --> 00:08:26,580
+بالتفصيل يبقى هاي cosine 0 و هنا sin 0 cosine صفر
+
+95
+00:08:26,580 --> 00:08:33,200
+القداش cosine 0 إذا بدنا نبدأ من عند النقطة 1 و 0
+
+96
+00:08:33,200 --> 00:08:39,020
+دائماً يا شباب ناخد اتجاه parameter T تزايدي اتجاه
+
+97
+00:08:39,020 --> 00:08:43,580
+increasing T من أقل قيمة ومن نرجع إلى أكبر قيمة
+
+98
+00:08:43,580 --> 00:08:47,580
+مش نمشي من الآخر ونرجع للأول يبقى في كل الرسم تبع
+
+99
+00:08:47,580 --> 00:08:52,020
+ال parameter كذا وعشان ناخد اتجاه تزايد T يبقى أقل
+
+100
+00:08:52,020 --> 00:08:55,360
+القيمة تاخدها T تساوي Zero لو أخدت القيمة اللي
+
+101
+00:08:55,360 --> 00:09:02,180
+بعدها فجهة قلت مثلاً لو T تساوي π على اثنين then X
+
+102
+00:09:02,180 --> 00:09:10,590
+Y تساوينأتي الآن لـcos π على اثنين و sin π على
+
+103
+00:09:10,590 --> 00:09:16,230
+اثنين cos π على اثنين هو صفر و sin π على اثنين
+
+104
+00:09:16,230 --> 00:09:24,190
+هو واحد بعد ذلك لو كانت ال T تساوي π then x و y
+
+105
+00:09:24,190 --> 00:09:32,890
+يساوي cos π و هنا sin π cos مية وثمانين و sin
+
+106
+00:09:33,310 --> 00:09:39,590
+بـ 0 يبقى خلاصنا الكلام اللي قدامنا هذا بدأت آخد
+
+107
+00:09:39,590 --> 00:09:44,510
+هنا الرسم بتاعي و أشوف شو المنحنى اللي صار عندي
+
+108
+00:09:44,510 --> 00:09:50,190
+يبقى هذا محور X هذا محور Y و هذه نقطة الأصل اللي
+
+109
+00:09:50,190 --> 00:09:55,410
+هو Zero النقطة الأولى 1 و Zero X و Y تساوي 1 و
+
+110
+00:09:55,410 --> 00:10:00,070
+Zero 1 و Zero اللي هي النقطة اللي عندنا هذه 1 و
+
+111
+00:10:00,070 --> 00:10:05,740
+Zero النقطة الثانية 01 01 اللي هي النقطة هذه اللي
+
+112
+00:10:05,740 --> 00:10:12,460
+فوق يبقى هذه 01 إذا المنحنى من تحت أجه طالع لوين؟
+
+113
+00:10:12,460 --> 00:10:17,180
+لفوق بالشكل اللي عندنا هذا يبقى اتجاه وين؟ إلى
+
+114
+00:10:17,180 --> 00:10:22,560
+أعلى وصلنا للنقطة هذه بعد النقطة هذه بتروح للنقطة
+
+115
+00:10:22,560 --> 00:10:26,480
+سالب واحد وزيرو سالب واحد وزيرو اللي هي النقطة
+
+116
+00:10:26,480 --> 00:10:30,980
+اللي عندنا هذه هي سالب واحد وزيرو يبقى جان منحنى
+
+117
+00:10:30,980 --> 00:10:37,060
+أو جانزل زي هيك بهذا الشكل يبقى مسار الجسيم عبارة
+
+118
+00:10:37,060 --> 00:10:44,340
+عن إيش نصف دائرة أو نصف الدائرة العلوي تمام فباجي
+
+119
+00:10:44,340 --> 00:10:47,580
+بقوله هنا the graph
+
+120
+00:10:50,140 --> 00:10:53,800
+is the upper half
+
+121
+00:10:56,400 --> 00:11:04,760
+النصف العلوي of the circle اللي هي من X تربيع
+
+122
+00:11:04,760 --> 00:11:09,660
+زائد Y تربيع تساوي واحد خلصنا المطلوب الثاني لإنه
+
+123
+00:11:09,660 --> 00:11:13,380
+جال لجراف ال Cartesian equation on the given
+
+124
+00:11:13,380 --> 00:11:19,040
+interval أبنجي للمطلوب الثالث جالي هافلة direction
+
+125
+00:11:19,040 --> 00:11:25,830
+of motion يبقى اتجاه الحركة وين؟ عكس عقارب الساعة 
+
+126
+00:11:25,830 --> 00:11:34,430
+يبقى باقي بقول the direction of
+
+127
+00:11:34,430 --> 00:11:50,490
+motion اتجاه الحركة is in the counter clockwise في 
+
+128
+00:11:50,490 --> 00:11:53,110
+اتجاه عكس عقارب الساعة
+
+129
+00:11:57,940 --> 00:12:06,360
+المثال الثاني بيقول 
+
+130
+00:12:06,360 --> 00:12:13,500
+X يساوي T وY تساوي الجذر التربيعي لـ واحد ناقص T 
+
+131
+00:12:13,500 --> 00:12:19,440
+تربيع وسالب واحد أقل من أو يساوي T أقل من واحد
+
+132
+00:12:22,180 --> 00:12:26,340
+خلينا في المعادلة هذه والمعادلة هذه الشكل هم
+
+133
+00:12:26,340 --> 00:12:31,980
+بيقربوا لبعض شكلهم هيك طبعاً لأ كل واحدة في شجرة لكن
+
+134
+00:12:31,980 --> 00:12:35,740
+تعال شوف نتعرف عليهم ونشوف هذه المعادلة ايش بتقرب
+
+135
+00:12:35,740 --> 00:12:40,400
+للمعادلة اللي فوق ولا بعيدة كل البعد عنها بعدين
+
+136
+00:12:40,400 --> 00:12:41,540
+بيقولوا solution
+
+137
+00:13:03,320 --> 00:13:09,520
+ولكن يبقى الخطوة الأولى بدي أحذف T بين المعادلتين
+
+138
+00:13:09,520 --> 00:13:15,320
+بسيط X يساوي T بشيل T وبحط مكانها X يبقى صارت
+
+139
+00:13:15,320 --> 00:13:21,120
+المعادلة Y يساوي الجذر التربيعي لـ 1 ناقص X تربيع
+
+140
+00:13:21,560 --> 00:13:27,700
+أو لو ربعنا الطرفين بيصير Y تربيع يساوي واحد ناقص X
+
+141
+00:13:27,700 --> 00:13:33,880
+تربيع أو X تربيع زائد Y تربيع دي تساوي مين؟ أظن نفس
+
+142
+00:13:33,880 --> 00:13:39,420
+المعادلة اللي فوق يبقى نفس اللي فوق شكلاً على
+
+143
+00:13:39,420 --> 00:13:42,860
+الطبيعة الله أعلم لسه مش عارفين يبقى هذا ال X
+
+144
+00:13:42,860 --> 00:13:56,280
+تربيع يبقى question of a circle with center at the
+
+145
+00:13:56,280 --> 00:14:01,560
+origin and radius
+
+146
+00:14:02,800 --> 00:14:07,600
+اللي هو one نصف القطر يساوي واحد صحيح الآن أنت هنا
+
+147
+00:14:07,600 --> 00:14:13,860
+من المطلوب الأول بدي آجي للمطلوب الثاني بدي آخد
+
+148
+00:14:13,860 --> 00:14:24,340
+لو كانت ال T تساوي سالب واحد then ال X و Y بدها
+
+149
+00:14:24,340 --> 00:14:29,850
+تساوي طلع له هنا كويس أنا حاطي الـT بـ-1 يبقى يصير
+
+150
+00:14:29,850 --> 00:14:35,710
+سالب واحد وهنا كداش؟ Zero يبقى سالب واحد و Zero
+
+151
+00:14:35,710 --> 00:14:45,550
+اللي بعدها لو كانت الـT مثلاً تساوي Zero then XY
+
+152
+00:14:45,550 --> 00:14:56,110
+يساوي Zero وكداش؟ واحد هنا لو كانت الـ T تساوي
+
+153
+00:14:56,110 --> 00:15:06,470
+واحد ثم XY تساوي بالدرجة من XY T بواحد يبقى واحد و
+
+154
+00:15:06,470 --> 00:15:13,320
+Zero كذلك طيب تعال نرسم هذا و نرسم الشكل يبقى لو
+
+155
+00:15:13,320 --> 00:15:19,460
+جيت هنا ورسمت الرسمة تبعنا هذا محور X هذا محور Y
+
+156
+00:15:19,460 --> 00:15:25,360
+وهذه نقطة الأصل النقطة الأولى هي الهيمين اللي سالب
+
+157
+00:15:25,360 --> 00:15:32,520
+واحد وزيرو سالب واحد وزيرو يبقى هاي سالب واحد
+
+158
+00:15:32,520 --> 00:15:41,980
+وزيرو النقطة الثانية Zero واحد هي نقطة Zero واحد
+
+159
+00:15:41,980 --> 00:15:48,050
+يبقى المنحنى أو ال particle طالع إلى أعلى بعد ذلك
+
+160
+00:15:48,050 --> 00:15:52,050
+النقطة الأخيرة هي واحدة وزيرو واحدة وزيرو هي
+
+161
+00:15:52,050 --> 00:15:58,030
+النقطة هذه إذا الجسيم هيجي رايح على النقطة هذه إلى
+
+162
+00:15:58,030 --> 00:16:03,590
+أسفل يبقى الرسم عبارة عن مين؟ برضه نصف الدائرة
+
+163
+00:16:03,590 --> 00:16:13,050
+العلوي يبقى هنا باجي بقوله the graph is
+
+164
+00:16:13,050 --> 00:16:26,130
+the upper Half النصف العلوي of the circle X تربيع
+
+165
+00:16:26,130 --> 00:16:28,750
+زائد Y تربيع تساوي واحد
+
+166
+00:16:32,250 --> 00:16:36,830
+الاختلاف بس في ال direction of motion يبقى احنا لو
+
+167
+00:16:36,830 --> 00:16:41,130
+جينا غيرنا ال T هذه أو ال T اللي فوق ممكن نحصل على
+
+168
+00:16:41,130 --> 00:16:45,990
+مين؟ على نفس الرسمة ونفس الاتجاه ما عنا مشكلة في
+
+169
+00:16:45,990 --> 00:16:50,330
+هذه الحالة على أي حال ما عنا مشكلة يبقى الرسمة هي
+
+170
+00:16:50,330 --> 00:16:54,150
+نفس الرسمة الاختلاف بس في مين؟ في الاتجاه وبالتالي
+
+171
+00:16:54,150 --> 00:17:00,350
+مثلنا معادلة الدائرة بأكثر من parametric equations
+
+172
+00:17:00,680 --> 00:17:04,700
+وسألنا في البداية هل هدول بيشبهوا بعض؟ قلنا
+
+173
+00:17:04,700 --> 00:17:08,480
+بيشبهوا لبعض، خلاص شكلهم بيشبهوا لبعض، لكن عند
+
+174
+00:17:08,480 --> 00:17:13,540
+الشغل أنا بطلع لنفس مين؟ نفس الجزء أو نفس النصف
+
+175
+00:17:13,540 --> 00:17:17,900
+العلوي من الدائرة، الاختلاف ال orientation بس فقط، لا
+
+176
+00:17:17,900 --> 00:17:25,480
+غير النقطة الثالثة والأخيرة بدي الاتجاه، 
+
+177
+00:17:25,480 --> 00:17:27,560
+ايوه يبقى the direction
+
+178
+00:17:47,780 --> 00:17:53,440
+السؤال الثالث ال
+
+179
+00:17:53,440 --> 00:18:05,080
+X تساوي تلاتة T وال Y تساوي تسعة T تربيع وال T هذه
+
+180
+00:18:05,080 --> 00:18:09,640
+محصورة ما بين infinity لغاية infinity
+
+181
+00:18:18,100 --> 00:18:24,060
+يبقى بنروح نجيب العلاقة ما بين ال X والY بقت نحذف
+
+182
+00:18:24,060 --> 00:18:30,680
+T ما بين الطرفين بنقوله بسيطة Y تساوي تسعة T تربيع
+
+183
+00:18:30,680 --> 00:18:39,840
+أو تلاتة T الكل تربيع تلاتة T مين هي؟ X يبقى هذا
+
+184
+00:18:39,840 --> 00:18:48,440
+معناه ان Y تساوي X تربيع ما عادتاش هذه ايوه white
+
+185
+00:18:48,440 --> 00:18:53,760
+convex تربية parabola with vertex يبقى هذه
+
+186
+00:18:53,760 --> 00:19:09,880
+parabola with vertex at the origin and open up
+
+187
+00:19:09,880 --> 00:19:16,080
+ومفتوحة إلى أعلى مرة ثانية بقول why to see extra
+
+188
+00:19:16,080 --> 00:19:19,920
+يعني القطع و ال vertex at the origin يبقى
+
+189
+00:19:19,920 --> 00:19:23,180
+المنحنى عارفين والرأس تبعه ان ده نقطة الأصل اللي
+
+190
+00:19:23,180 --> 00:19:28,240
+مفتوح لوين الاعلى لأن الاشارة هذه إشارة لو كان
+
+191
+00:19:28,240 --> 00:19:32,200
+السالب اللي بيصير مفتوح لوين الاسفل وال vertex at
+
+192
+00:19:32,200 --> 00:19:37,740
+the origin هذا المطلوب الأول المطلوب الثاني يبقى
+
+193
+00:19:37,740 --> 00:19:42,100
+بدنا نيجي ناخد قيم مختلفة لتيم ما عنديش أول ال
+
+194
+00:19:42,100 --> 00:19:46,790
+interval واخر ال interval لذلك خذ أي نقطة بدك
+
+195
+00:19:46,790 --> 00:19:50,750
+اياها خلال الـ real line كلها، لأن الـ T معرضة
+
+196
+00:19:50,750 --> 00:19:54,570
+وين؟ على كل الـ real line، بكفني تلات نقاط، بعرف
+
+197
+00:19:54,570 --> 00:19:59,390
+وين اتجاه وطالع، نازل، ماشي، الاخرى، فمثلاً، لو جيت
+
+198
+00:19:59,390 --> 00:20:04,470
+قلت لو كانت الـ T تساوي سالب واحد، على سبيل
+
+199
+00:20:04,470 --> 00:20:12,460
+المثال، then الـ X والـ Y بتساوي الـ T بسالب واحد
+
+200
+00:20:12,460 --> 00:20:20,240
+يبقى سالب تلاتة والـ Y قداش تسعة اللي بعدها لو كان
+
+201
+00:20:20,240 --> 00:20:27,120
+الـ T تساوي Zero then X وY تساوي Zero Zero مظبوط؟
+
+202
+00:20:27,790 --> 00:20:34,990
+نمر تلاتة لو كانت ال T تساوي واحد مثلاً، then XY
+
+203
+00:20:34,990 --> 00:20:41,570
+يساوي، حط واحد بيصير تلاتة وكداش؟ تلاتة وتسعة
+
+204
+00:20:41,570 --> 00:20:47,750
+كذلك بنروح نرسم الرسم هذه يبقى لو روحنا رسمنا الرسم
+
+205
+00:20:47,750 --> 00:20:53,750
+هذه بتاخد الشكل التالي هذا محور X محور Y هذه نقطة
+
+206
+00:20:53,750 --> 00:21:00,710
+الأصل النقطة الأولى سالب تلاتة وبدك تطلع فوق تسعة
+
+207
+00:21:00,710 --> 00:21:06,750
+يبقى النقطة هذه سالب تلاتة وتسعة النقطة الثانية
+
+208
+00:21:06,750 --> 00:21:13,010
+Zero و Zero يبقى المنحنى بيجيني نازل هيك إلى أسفل
+
+209
+00:21:13,550 --> 00:21:17,430
+النقطة اللي بعدها تلاتة وتسعة يبقى هذه السالب
+
+210
+00:21:17,430 --> 00:21:23,410
+تلاتة يبقى هنا تجيني تلاتة واطلع فوق هنا جبل هذه
+
+211
+00:21:23,410 --> 00:21:28,510
+تماماً بجيني تسعة يبقى النقطة هذه تلاتة وتسعة
+
+212
+00:21:28,510 --> 00:21:34,750
+وبالتالي المنحنى بده يطلع إلى أسفل بهذا الشكل يبقى
+
+213
+00:21:34,750 --> 00:21:40,450
+رسمنا المنحنى يبقى باجي بقوله هنا the graph
+
+214
+00:21:43,440 --> 00:21:50,420
+is Parabola النقطة الأخيرة لأن النقطة الثالثة بدنا
+
+215
+00:21:50,420 --> 00:22:02,520
+الاتجاه حركة الجسم يبقى the particle move
+
+216
+00:22:03,790 --> 00:22:07,210
+طبعاً مش عند النقطتين هذوله بس شباب بظل هذا ماشي
+
+217
+00:22:07,210 --> 00:22:10,170
+إلى ما شاء الله وهذا ماشي إلى ما شاء الله بهذا
+
+218
+00:22:10,170 --> 00:22:18,650
+الشكل يبقى the particle move on the left على الشجرة
+
+219
+00:22:18,650 --> 00:22:29,250
+الشمال from above to down يبقى من أعلى إلى أسفل
+
+220
+00:22:29,250 --> 00:22:30,530
+until
+
+221
+00:22:32,990 --> 00:22:43,350
+the original حتى نقطة الأصل and then ومن ثم moves
+
+222
+00:22:43,350 --> 00:22:46,790
+from
+
+223
+00:22:46,790 --> 00:22:49,890
+down
+
+224
+00:22:49,890 --> 00:22:57,630
+to up on the right على الشجرة اليمين
+
+225
+00:23:40,830 --> 00:23:42,810
+سؤال الرابع
+
+226
+00:23:45,530 --> 00:23:56,710
+بقول X يساوي أربعة جا T وY يساوي خمسة جتا T وT من
+
+227
+00:23:56,710 --> 00:24:08,750
+عند الصفر لغاية اثنين باي يلا
+
+228
+00:24:08,750 --> 00:24:14,450
+بدنا نحذف T بين المعادلتين حد يعرف يقولي كيف؟
+
+229
+00:24:18,690 --> 00:24:26,230
+هذه قصة بتطور بس فاكر كويس تقدر تخليه للشكل
+
+230
+00:24:26,230 --> 00:24:32,990
+اليمين جا وكوسين فقط بدون أرقام وبالربع يبقى
+
+231
+00:24:32,990 --> 00:24:40,070
+هنا بقدر أقول النقطة I هذه بقدر نكتب X على أربعة
+
+232
+00:24:40,070 --> 00:24:48,890
+تساوي جا T وهذه Y على خمسة يساوي جتا T الآن مربع
+
+233
+00:24:48,890 --> 00:24:55,810
+الطرفين يبقى x تربيع على 16 زائد y تربيع على 25
+
+234
+00:24:55,810 --> 00:25:03,410
+يساوي جا تربيع T زائد جتا تربيع T أو إن شئتم
+
+235
+00:25:03,410 --> 00:25:10,670
+فاقولوا x تربيع على 16 زائد y تربيع على 25 يساوي 1
+
+236
+00:25:10,670 --> 00:25:15,790
+معادلة ايش هذا يا شباب؟ قطع ناقص، اللي هو هذا
+
+237
+00:25:15,790 --> 00:25:22,990
+القطع المكافئ الأولاني يبقى هذه equation of an
+
+238
+00:25:22,990 --> 00:25:27,790
+ellipse طيب
+
+239
+00:25:27,790 --> 00:25:32,760
+هذا ال ellipse شكل بيضاوي والمحور الرئيسي ومحور
+
+240
+00:25:32,760 --> 00:25:37,620
+ثانوي كم هو المحور الرئيسي أو من المحور الرئيسي
+
+241
+00:25:37,620 --> 00:25:43,380
+لهذا ال ellipse؟ why ليش؟ لأن المقام أكبر يبقى في حالة
+
+242
+00:25:43,380 --> 00:25:47,400
+ال ellipse بنقدر نجيب ال major axis اللي هو المحور
+
+243
+00:25:47,400 --> 00:25:52,100
+الرئيسي من خلال الرقم اللي موجود في المقام صاحب
+
+244
+00:25:52,100 --> 00:25:56,540
+المقام الرفيع بيكون هو ال major axis يعني ليش
+
+245
+00:25:56,540 --> 00:26:01,580
+الرفيع؟ يعني أكبر قيمة يبقى equation of an ellipse
+
+246
+00:26:01,580 --> 00:26:13,920
+with major axis محور الرئيسي along the y-axis هذا
+
+247
+00:26:13,920 --> 00:26:18,780
+بنفعنا كيف؟ بنفعنا عند الرسم، نعرف كيف نرسم نقطة
+
+248
+00:26:18,780 --> 00:26:24,890
+ثانية بنيجي ناخد القيم المختلفة لـT، يبقى FT
+
+249
+00:26:24,890 --> 00:26:33,710
+تساوي Zero ثم X Y تساوي Zero جا Zero بقداش؟ ب
+
+250
+00:26:33,710 --> 00:26:42,310
+Zero جتا Zero خمسة ثم لو كانت T تساوي باي على اثنين
+
+251
+00:26:42,310 --> 00:26:50,530
+مثلا ثم X Y يساوي بدنا نشيل T ونحط مكانها Pi على 
+
+252
+00:26:50,530 --> 00:26:55,710
+اثنين يبقى بصير هذا كداش؟ أربعة و هنا باي على اثنين
+
+253
+00:26:55,710 --> 00:27:02,450
+كده؟ Zero اللي بعدها لو كانت ال T تساوي باي على 
+
+254
+00:27:02,450 --> 00:27:07,230
+سبيل المثال يبقى ال X و ال Y تساوي
+
+255
+00:27:13,780 --> 00:27:19,140
+بسالب واحد يبقى سالب خمسة اللي بعدها لو كان ال T
+
+256
+00:27:19,140 --> 00:27:24,900
+تساوي ثلاثة باي على اثنين 270 درجة يبقى
+
+257
+00:27:24,900 --> 00:27:32,180
+then ال X وال Y يساوي جيب الـ 270 سالب واحد
+
+258
+00:27:32,180 --> 00:27:37,940
+في أربعة بسالب أربعة جيب الـ 270 بـ Zero
+
+259
+00:27:37,940 --> 00:27:44,250
+اللي بعدها لو كانت ال T تساوي اثنين باي بعد ذلك XY
+
+260
+00:27:44,250 --> 00:27:50,570
+تساوي  
+
+261
+00:27:50,570 --> 00:27:54,810
+اثنين و اثنين باي زي ال Zero إن هنا دورة كاملة
+
+262
+00:27:54,810 --> 00:28:02,970
+يبقى بصير قداش Zero و خمسة يبقى ال graph عبارة عن
+
+263
+00:28:02,970 --> 00:28:07,030
+ellipse ذكرنا و ال major axis along the Y axis
+
+264
+00:28:07,030 --> 00:28:14,030
+بدنا نرسم يبقى هذه الرسمة اللي عندنا هذا محور X
+
+265
+00:28:14,030 --> 00:28:21,490
+وهذا محور Y وهذا نقطة الأصل Zero النقطة الأولى
+
+266
+00:28:21,490 --> 00:28:28,430
+Zero خمسة يبقى هذه Zero خمسة النقطة الثانية أربعة
+
+267
+00:28:28,430 --> 00:28:32,590
+و Zero أربعة و Zero اللي هي النقطة اللي عندنا هذه
+
+268
+00:28:32,590 --> 00:28:39,190
+أربعة و Zero يبقى من فوق نزلنا بهذا الشكل إلى أسفل
+
+269
+00:28:39,980 --> 00:28:43,940
+النقطة المبعوثة هي الـ Zero والسالب خمسة Zero
+
+270
+00:28:43,940 --> 00:28:48,580
+والسالب خمسة تأتي من أين؟ هنا تحت يبقى هذا Zero
+
+271
+00:28:48,580 --> 00:28:55,020
+وسالب خمسة يبقى المنحنقة وصل لهنا الشكل اللي عندنا
+
+272
+00:28:55,020 --> 00:29:00,030
+هذا اللي بعض النقطة سالب أربعة وزيرو سالب أربعة
+
+273
+00:29:00,030 --> 00:29:05,130
+وزيرو اللي هي النقطة هذه سالب أربعة وزيرو يبقى
+
+274
+00:29:05,130 --> 00:29:09,690
+المنحنة طلع إلى أعلى بالشكل هذا النقطة الأخيرة
+
+275
+00:29:09,690 --> 00:29:14,470
+زيرو خمسة اليمين النقطة اللي فوق بالشكل اللي عندنا
+
+276
+00:29:14,470 --> 00:29:19,670
+هذا يبقى راسم المنحنة ما ضلش عند اللي هي الاتجاه شو
+
+277
+00:29:19,670 --> 00:29:26,400
+رأيك في الاتجاه؟ اه في اتجاه عكس عقارب الساعة يبقى باجي
+
+278
+00:29:26,400 --> 00:29:35,040
+بقوله هنا النقطة الثالثة والأخيرة the direction of
+
+279
+00:29:35,040 --> 00:29:43,240
+motion اتجاه الحركة in the counterclockwise
+
+280
+00:29:48,980 --> 00:30:13,100
+يبقى في اتجاه عكس عقارب الساعة مثال
+
+281
+00:30:13,100 --> 00:30:13,780
+الخامس
+
+282
+00:30:38,650 --> 00:30:42,410
+خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة
+
+283
+00:30:54,810 --> 00:30:59,490
+بدا أجيب النقطة الأولى بدي أضايقها تيما بين ال X
+
+284
+00:30:59,490 --> 00:31:08,110
+والY بقى أنا بدي علاقة بتربط الـ sec مع الـ tan تان
+
+285
+00:31:08,110 --> 00:31:14,560
+تربيع زائد واحد يساوي الـ sec تربيع sec تربيع ناقص تان
+
+286
+00:31:14,560 --> 00:31:19,580
+تربيع يساوي واحد وبالتالي يتخلص من الشغل هذه يبقى
+
+287
+00:31:19,580 --> 00:31:23,540
+أنا عندي sec تربيع ناقص تان تربيع إن أنتو بده
+
+288
+00:31:23,540 --> 00:31:30,160
+أربع الطرفين يبقى لو أخدت X تربيع ناقص Y تربيع
+
+289
+00:31:30,160 --> 00:31:38,520
+هتساوي sec تربيعي ناقص tan تربيعي هذا معناه إن X
+
+290
+00:31:38,520 --> 00:31:44,500
+تربيع ناقص Y تربيع تساوي كم؟ تساوي واحد، معادلة
+
+291
+00:31:44,500 --> 00:31:49,440
+إيش هذه؟ قطع
+
+292
+00:31:49,440 --> 00:31:58,880
+زائد Hyperabula يبقى هذه equation of Hyperabula
+
+293
+00:31:59,920 --> 00:32:07,200
+يبقى قطع زائد هذه معادلة اللي هو قطع زائد القطع
+
+294
+00:32:07,200 --> 00:32:10,900
+الزائد اللي هو محور الرئيسي ومحور ثانوي المحور
+
+295
+00:32:10,900 --> 00:32:18,680
+الرئيسي هل هو في اتجاه ال X ولا Y؟ ويبقى
+
+296
+00:32:18,680 --> 00:32:27,540
+هذا with center at the origin and
+
+297
+00:32:29,030 --> 00:32:35,530
+focal axis أو major axis محور
+
+298
+00:32:35,530 --> 00:32:39,890
+رئيسي along مين؟
+
+299
+00:32:40,940 --> 00:32:47,000
+الـ X-Axis يعني بندور على صاحب الإشارة الموجبة
+
+300
+00:32:47,000 --> 00:32:51,780
+وبهمني إيش يكون المقام، هدول مقامين زي بعض ممكن
+
+301
+00:32:51,780 --> 00:32:56,160
+ما يكونوش زي بعض، كله بهمني، بهمني صاحب الإشارة
+
+302
+00:32:56,160 --> 00:33:02,060
+الموجبة طيب تمام، بدنا نيجي للنقطة الأولى بداجة
+
+303
+00:33:02,060 --> 00:33:07,180
+النقطة الثانية يبقى بداجة أقوله لو كانت ال T تساوي
+
+304
+00:33:07,180 --> 00:33:14,320
+بقدر أحط باي على 2؟ لأ لأنه لا الـ sec و لا حتى الـ
+
+305
+00:33:14,320 --> 00:33:18,040
+tan معرف عند الـ باي على 2 يا أخي ليش الـ باي؟ خش
+
+306
+00:33:18,040 --> 00:33:23,200
+لجوا في الفترة شوية سالب أعطني سالب تسعين، قول سالب
+
+307
+00:33:23,200 --> 00:33:26,880
+ثمانين، سالب سبعين، بس هم اللي بدهم إيش؟
+
+308
+00:33:26,880 --> 00:33:30,780
+Calculator، احنا بناخد زوايا ليس بالضروري يكون
+
+309
+00:33:30,780 --> 00:33:36,300
+عندي Calculator، يبقى لو أخدت سالب باي على أربعة،
+
+310
+00:33:36,300 --> 00:33:47,320
+يبقى then XY تساوي، حطلي سالب باي على أربعة، يبقى
+
+311
+00:33:47,320 --> 00:33:52,200
+sec سالب باي على أربعة هو sec باي على أربعة يبقى
+
+312
+00:33:52,200 --> 00:33:59,040
+جذر اثنين يبقى سالب جذر اثنين ظل الخمسة وأربعين
+
+313
+00:33:59,040 --> 00:34:06,940
+بواحد بس الاثنين هذا أد يبقى بصير سالب واحد بعد ذلك
+
+314
+00:34:06,940 --> 00:34:14,140
+لو كانت ال T تساوي Zero then ال XY تساوي
+
+315
+00:34:18,240 --> 00:34:23,420
+يبقى ال X و Y تساوي sec ال Zero اللي هو بواحد يبقى
+
+316
+00:34:23,420 --> 00:34:28,540
+سالب واحد و تان ال Zero اللي هو بـ Zero اللي بعدها
+
+317
+00:34:28,540 --> 00:34:36,500
+لو كانت ال T تساوي باي على أربعة then X و Y تساوي
+
+318
+00:34:36,990 --> 00:34:42,810
+هذه الـ sec والـ باي على أربعة اللي همين بجذر اثنين
+
+319
+00:34:42,810 --> 00:34:48,770
+وهنا ظل الخمسة وأربعين اللي هم قداش بواحد بهذا
+
+320
+00:34:48,770 --> 00:34:54,990
+الشكل أروح نرسم الرسم اللي عندنا يبقى هي الرسمة هي
+
+321
+00:34:54,990 --> 00:35:02,670
+المحاول هذا X وهذا Y وهذا نقطة الأصل النقطة الأولى
+
+322
+00:35:02,670 --> 00:35:06,110
+سالب جذر اثنين يعني سالب واحد وأربعة من عشرة
+
+323
+00:35:06,110 --> 00:35:10,870
+تقريبا سالب واحد وأربعة من عشرة أو سالب واحد يبقى
+
+324
+00:35:10,870 --> 00:35:15,770
+هذا سالب واحد وأربعة من عشرة وبدنا ننزل هنا سالب
+
+325
+00:35:15,770 --> 00:35:23,700
+واحد يبقى هذا سالب واحد أو سالب جذر اثنين و سالب
+
+326
+00:35:23,700 --> 00:35:29,600
+واحد، تمام؟ النقطة اللي بعدها سالب واحد و Zero هذا
+
+327
+00:35:29,600 --> 00:35:38,520
+سالب واحد جذر اثنين وهنا هتجيلك سالب واحد، كويس؟
+
+328
+00:35:38,520 --> 00:35:44,980
+يبقى المنحنة هيجيني من أسفل إلى أعلى بهذا الشكل
+
+329
+00:35:45,890 --> 00:35:52,610
+كويس يبقى طالع إلى أعلى بعد هيك من سالب جذر اثنين
+
+330
+00:35:52,610 --> 00:35:57,410
+و واحد سالب جذر اثنين و بدنا نطلع هنا قداش مقدار
+
+331
+00:35:57,410 --> 00:36:03,570
+واحد يبقى سالب جذر اثنين و واحد يبقى المنحنى بد
+
+332
+00:36:03,570 --> 00:36:10,220
+يجينا بمين بالشكل اللي عندنا هذا يبقى واضح إنه ما
+
+333
+00:36:10,220 --> 00:36:14,920
+جاب ليش الـ hyperbola كلها وإنما جاب من النص إذا
+
+334
+00:36:14,920 --> 00:36:20,140
+باقيتها بتكون على الناحية الثانية هي بدرسمها لك
+
+335
+00:36:20,140 --> 00:36:25,700
+نقطة عشان تعرف إن هذا hyperbola لكن ما ظهرتش النص
+
+336
+00:36:25,700 --> 00:36:29,020
+في اللي عندنا هذا ظهر من النص في اللي عندنا هذا
+
+337
+00:36:29,020 --> 00:36:41,890
+يبقى ماجي بقوله the graph is the lefthand branch
+
+338
+00:36:41,890 --> 00:36:50,890
+يعني القوس أو الجزء اللي على الشمال of the
+
+339
+00:36:50,890 --> 00:36:59,330
+hyperabula اللي هو من X تربيع ناقص Y تربيع تساوي
+
+340
+00:36:59,330 --> 00:37:05,450
+كده تساوي واحد ندى الآن للاتجاه طبعا و هذا إلى
+
+341
+00:37:05,450 --> 00:37:15,020
+أعلى كمان النقطة الأخيرة اللي هو the direction of
+
+342
+00:37:15,020 --> 00:37:20,920
+motion from
+
+343
+00:37:20,920 --> 00:37:24,340
+down
+
+344
+00:37:24,340 --> 00:37:31,220
+to up يبقى من أسفل إلى أعلى
+
+345
+00:37:38,430 --> 00:37:38,730
+remark
+
+346
+00:38:14,100 --> 00:38:26,660
+المعادلات البارامترية of a line passes through
+
+347
+00:38:26,660 --> 00:38:29,980
+the
+
+348
+00:38:29,980 --> 00:38:39,800
+points الذي يمر بالنقطتين X node و Y node and X
+
+349
+00:38:39,800 --> 00:38:50,120
+واحد و Y واحد and X واحد و Y واحد are ال
+
+350
+00:38:50,120 --> 00:38:57,460
+X بده يساوي ال X node زائد X واحد ناقص X node في T و
+
+351
+00:38:57,460 --> 00:39:04,380
+ال Y بده يساوي Y node زائد y واحد ناقص y node في T
+
+352
+00:39:04,380 --> 00:39:14,160
+و T محصورة من سالب infinity إلى infinity example
+
+353
+00:39:14,160 --> 00:39:18,460
+find
+
+354
+00:39:18,460 --> 00:39:20,200
+the parameterizations
+
+355
+00:39:29,600 --> 00:39:40,480
+for the line segment for the line segment للقطع
+
+356
+00:39:40,480 --> 00:39:50,300
+المستقيمة with end points النقاط تبعتها الطرفين
+
+357
+00:39:50,300 --> 00:39:59,360
+تبعتها هو السالب واحد وثلاثة and ثلاثة وسالب اثنين
+
+358
+00:40:03,250 --> 00:40:03,990
+Solution
+
+359
+00:40:09,110 --> 00:40:13,890
+احنا بنقدر نجيب معادلة الخط المستقيم بدلالة أي
+
+360
+00:40:13,890 --> 00:40:18,670
+نقطة موجودة عليه تمام؟ أي نقطتين موجودتين على الخط
+
+361
+00:40:18,670 --> 00:40:22,410
+المستقيم بواسطتهم بقدر أجيب معادلة الخط المستقيم
+
+362
+00:40:22,410 --> 00:40:26,990
+احنا هنجيب المعادلة هذه أو المعادلة البارامترية
+
+363
+00:40:26,990 --> 00:40:31,070
+بواسطة النقطتين لو كان عنده نقطتين على الخط
+
+364
+00:40:31,070 --> 00:40:35,250
+المستقيم x0 و y0 و x1 و y1 يبقى الصيغة البارامترية
+
+365
+00:40:35,250 --> 00:40:37,970
+لـ معادلتي الخط المستقيم
+
+366
+00:40:42,900 --> 00:40:47,800
+طبعا T من سالب infinity إلى infinity هذا للمستقيم
+
+367
+00:40:47,800 --> 00:40:53,300
+أو للشعاع اللي ببدأ من Zero و يبقى لـ infinity لكن
+
+368
+00:40:53,300 --> 00:40:58,160
+لو خدت قطعة مستقيمة إذا أنا حددتها بمين؟ بنقطة
+
+369
+00:40:58,160 --> 00:41:02,140
+الخط الواصل بين النقطتين فبقول هاتل الـ
+
+370
+00:41:02,140 --> 00:41:07,200
+parameterization للقطع المستقيمة المنتهية
+
+371
+00:41:07,200 --> 00:41:13,100
+بالنقطتين الاثنين هذول بقوله بسيطة جدا يبقى هذا الـ
+
+372
+00:41:13,100 --> 00:41:19,860
+X بده يساوي هذه بده آخذها هي X node وهذه Y node قبل
+
+373
+00:41:19,860 --> 00:41:23,920
+هذه x واحد و y و هذه نقطة البداية وهذه نقطة
+
+374
+00:41:23,920 --> 00:41:28,680
+النهاية للقطع المستقيمة يبقى x نقطة انت بقدر إيش
+
+375
+00:41:28,680 --> 00:41:37,920
+سالب واحد زائد ها ال x لتلاتة ناقص ناقص واحد كله 
+
+376
+00:41:37,920 --> 00:41:44,500
+في T يبقى هذا بدي أعطيك أن x يساوي سالب واحد زائد
+
+377
+00:41:44,500 --> 00:41:50,950
+أربعة T المعادلة الثانية y تساوي y not اللي هي قداش
+
+378
+00:41:50,950 --> 00:41:59,130
+ثلاثة زائد ناقص اثنين اللي هو y واحد ناقص ثلاثة
+
+379
+00:41:59,130 --> 00:42:07,510
+كله في T هذا بدي أعطيك أن y يساوي ثلاثة ناقص خمسة 
+
+380
+00:42:07,510 --> 00:42:12,930
+T ظلت أن هنا T أبصر من وين لوين تعالوا نشوف T من
+
+381
+00:42:12,930 --> 00:42:19,270
+وين لوين مش محدد لي لكن أنا كيف بدي أجيب النقطة هذه
+
+382
+00:42:19,270 --> 00:42:25,210
+من خلال المعادلات البارامترية؟ لو حطيتي قداش هنا
+
+383
+00:42:25,210 --> 00:42:34,680
+بحصل على النقطة الأولى صفر يبقى لو كانت الـ T تساوي
+
+384
+00:42:34,680 --> 00:42:42,780
+Zero ثم X و Y سيعطينا سالب واحد و ثلاثة صفر بطير و
+
+385
+00:42:42,780 --> 00:42:47,880
+بظل سالب واحد و ثلاثة اليمين النقطة الأولى هنا لو
+
+386
+00:42:47,880 --> 00:42:55,400
+كان الـ T أبصر قداش ثم X و Y سيعطينا النقطة
+
+387
+00:42:55,400 --> 00:43:02,860
+الثانية اليمين ثلاثة و سالب اثنين أيوة حط لي T بواحد
+
+388
+00:43:02,860 --> 00:43:07,360
+بيصير هنا أربعة و سالب واحد بيظل قداش ثلاثة أيها
+
+389
+00:43:07,360 --> 00:43:12,560
+حط لي T بواحد بيظل ثلاثة ناقص اثنين اللي هو ناقص
+
+390
+00:43:12,560 --> 00:43:19,860
+اثنين يبقى T تساوي واحد إذا T هذه بدأ تبقى أكبر من
+
+391
+00:43:19,860 --> 00:43:23,760
+أو تساوي Zero وأقل من أو تساوي واحد السؤال اللي
+
+392
+00:43:23,760 --> 00:43:28,200
+بدي أسأله لو عملت المعادلتين وما كتبتش هذا الشرط
+
+393
+00:43:28,200 --> 00:43:32,970
+حليت حلاً كاملاً؟ لو كان السؤال عليه خمس علامات بقسمك
+
+394
+00:43:32,970 --> 00:43:38,130
+على هذه علامتين آه در بالك لإن هذه جزء من الحل
+
+395
+00:43:38,130 --> 00:43:42,810
+جزء من الحل لإن قطعة مستقيمة محصورة ما بين نقطتين
+
+396
+00:43:42,810 --> 00:43:48,790
+هي النقطتين وهي المحاور هذا X وهذا Y النقطة الأولى
+
+397
+00:43:48,790 --> 00:43:54,930
+سالب واحد وثلاثة سالب واحد وثلاثة والنقطة الثانية
+
+398
+00:43:54,930 --> 00:44:02,000
+ثلاثة وسالب اثنين ثلاثة وسالب اثنين يبقى النقطة
+
+399
+00:44:02,000 --> 00:44:08,420
+هذه، ها يبقى لو جيت ووصلت بينهم هكذا الخط أو
+
+400
+00:44:08,420 --> 00:44:12,660
+القطعة المستقيمة، لحد أين انتهى الـ section 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2552cd4c4eddec745faa33ba2235b2af1afe3286
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE_postprocess.srt
@@ -0,0 +1,1600 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,530 --> 00:00:16,310
+بسم الله الرحمن الرحيم الشرطر 11 هذا بتتكلم عن
+
+3
+00:00:16,310 --> 00:00:21,210
+نقطتين أساسيتين النقطة الأولى اله ال parametric
+
+4
+00:00:21,210 --> 00:00:25,030
+equations والنقطة الثانية اله polar coordinates
+
+5
+00:00:25,030 --> 00:00:29,870
+الإحداثيات القطبية و ال parametric equations
+
+6
+00:00:29,870 --> 00:00:37,800
+المعادلات ال parameterية أو المعادلات الوسيطيةنجي
+
+7
+00:00:37,800 --> 00:00:43,100
+لسيكشن الاول بتكلم عن parameterization of a plane
+
+8
+00:00:43,100 --> 00:00:47,240
+curve احنا متعودين على الملحنة ان يكون دائما وابدا
+
+9
+00:00:47,240 --> 00:00:52,820
+بدلالة x و y يعني معادلة تربط بين المتغيرين x و y
+
+10
+00:00:52,820 --> 00:00:58,180
+و بنشتل عليها و هكذالكن ده مدخل اللي هو متغير في
+
+11
+00:00:58,180 --> 00:01:04,240
+المصمم بالاتنين كويس هذا المتغير اللي هو الوسيط او
+
+12
+00:01:04,240 --> 00:01:10,780
+ال parameter يبقى parameter يبقى هو المتغير الجديد
+
+13
+00:01:10,780 --> 00:01:15,520
+اللي بدخل بين المتغيرين X وY وبالتالي بنكتب ال X
+
+14
+00:01:15,520 --> 00:01:21,780
+وY بدلالة هذا المتغير الجديد اللي هنسميه هنا اللي
+
+15
+00:01:21,780 --> 00:01:26,660
+هو Tعندما أقول parameterization of a plane curve
+
+16
+00:01:26,660 --> 00:01:33,160
+المنحنى مقطع بدلالة x و y سأحوله إلى منحنى بدلالة
+
+17
+00:01:33,160 --> 00:01:38,160
+t أو العكس المنحنى مقطع بدلالة t سأحذف ت ما بين
+
+18
+00:01:38,160 --> 00:01:42,960
+المتغيرات اللي عندي و أخلي بس عندي من x و y
+
+19
+00:01:42,960 --> 00:01:46,460
+العملية هذه هي اللي بسميها parameterization of a
+
+20
+00:01:46,460 --> 00:01:52,200
+plane curve نعطي تعريفقال لو عندك X هي function في
+
+21
+00:01:52,200 --> 00:01:58,240
+T و Y هي function في T عبارة عن دوال مقطع في T و T
+
+22
+00:01:58,240 --> 00:02:02,300
+موجودة في ال interval I ولا محدد طبيعة ال interval
+
+23
+00:02:02,300 --> 00:02:02,740
+I
+
+24
+00:02:09,740 --> 00:02:16,800
+مجموعة النقاط X وY أو X هي F of T وY هي G of T
+
+25
+00:02:16,800 --> 00:02:21,800
+مجموعة النقاط هذول is a parametric curve المنحنى
+
+26
+00:02:21,800 --> 00:02:26,660
+الوسيطي أو المنحنى البراميطي يعني بدل ما كان
+
+27
+00:02:26,660 --> 00:02:29,740
+بدلالة X وY خلته بدلالة T
+
+28
+00:02:36,780 --> 00:02:42,240
+المعادلات البرامترية لهذا المنحنى يبقى المعادلات
+
+29
+00:02:42,240 --> 00:02:47,000
+البرامترية لهذا المنحنى وT بسميه الوسيط او ال
+
+30
+00:02:47,000 --> 00:02:52,060
+parameter لهذا المنحنى على اي حال لو عندي منحنى في
+
+31
+00:02:52,060 --> 00:02:55,320
+الصيغة الكارتيزية و بدى اكتبه على الصيغة
+
+32
+00:02:55,320 --> 00:03:00,390
+البرامترية يمكن كتابته باكثر من طريقةيعني ليس
+
+33
+00:03:00,390 --> 00:03:04,210
+بالضرورة تكون طريقة واحدة مافيش غيرها، يمكن نكتبه
+
+34
+00:03:04,210 --> 00:03:08,490
+بطريقتين، يمكن بثلاثة، يمكن باربعة، إلى آخرينرح
+
+35
+00:03:08,490 --> 00:03:13,090
+نكتب هذا في الملاحظة التالية المنحنة المعطاة يمكن
+
+36
+00:03:13,090 --> 00:03:18,750
+ان يمثل represented يعني يمثل by a different sets
+
+37
+00:03:18,750 --> 00:03:22,570
+of parametric equations بمجموعة مختلفة من
+
+38
+00:03:22,570 --> 00:03:27,050
+المعادلات ال parametricية شكلهم ماجربوش لبعض لكن
+
+39
+00:03:27,050 --> 00:03:30,990
+لو حولتهم إلى صيغة كارتيزية بتطلع منهم نفس
+
+40
+00:03:30,990 --> 00:03:36,260
+المعادلة إذا المعادلة الكارتيزية لها أكثر من شكلفي
+
+41
+00:03:36,260 --> 00:03:41,480
+الصيغة البرامترية نبدأ نعطي أمثلة ونشوف كيف بدنا
+
+42
+00:03:41,480 --> 00:03:46,420
+نشتغل في هذا ال section بيقول لي المعادلات التالية
+
+43
+00:03:46,420 --> 00:03:52,280
+بتصف حركة جسم في ال XY plane لو أخدت محور الصينة
+
+44
+00:03:52,280 --> 00:03:57,260
+ومحور الصدات او محور X ومحور Y يبقى بالمحورين في
+
+45
+00:03:57,260 --> 00:04:03,800
+المستوى تمام؟ في جسم يتحرك في هذا المستوى بيقول
+
+46
+00:04:03,800 --> 00:04:09,730
+ليش؟identify the particles path بدك تحددلي مصار
+
+47
+00:04:09,730 --> 00:04:14,650
+الجثيم هذا ايه يعني مصار الجثيم يعني المنحنة اللي
+
+48
+00:04:14,650 --> 00:04:20,050
+بيعمل الجثيم اتناء حركته هل هو خط مستقيم، هل هو
+
+49
+00:04:20,050 --> 00:04:24,570
+انفس، هل هو برابولة، هاي برابولة، منحنة way to say
+
+50
+00:04:24,570 --> 00:04:29,090
+واحد عليكس، اي المنحنات، من هالمنحنات اللي انت
+
+51
+00:04:29,090 --> 00:04:34,760
+بتعرفهاما دام عرفته هاتله ال kartesian equation
+
+52
+00:04:34,760 --> 00:04:39,040
+وروح ارسملي ال kartesian equation منشان نعرف ما هو
+
+53
+00:04:39,040 --> 00:04:44,020
+الشكل هذا المنحنى تلاتة بيين لاتجاه الحركة طالعة
+
+54
+00:04:44,020 --> 00:04:48,880
+نازلة مع قرب الساعة ضد عقرب الساعة لليمين للشمال
+
+55
+00:04:48,880 --> 00:04:53,120
+إلى أعلى إلى أسفل كل هذا بدك تحدده ليه و تبينه ليه
+
+56
+00:04:53,370 --> 00:04:58,350
+الان فينا مجموعة من الأمثلة عالمين على هذه
+
+57
+00:04:58,350 --> 00:05:03,070
+المطاليب التلاتة اول مثال بيقول لو كان x يساوي cos
+
+58
+00:05:03,070 --> 00:05:10,430
+t و y يساوي sin tو T حصرناها فقط من Zero لغاية Pi
+
+59
+00:05:10,430 --> 00:05:14,670
+قال لي على هذا المنحناة بدنا نجيب المطاليب التلاتة
+
+60
+00:05:14,670 --> 00:05:18,850
+هذه قال لي اتفقدي ال particles first شوفي المسار
+
+61
+00:05:18,850 --> 00:05:22,690
+تبع الجسم هذا عبارة عن ايش بقول له ايه؟ بده اجيب
+
+62
+00:05:22,690 --> 00:05:28,070
+المعادلاتين ال parameterيتين لاتنين هدولأضيع T بين
+
+63
+00:05:28,070 --> 00:05:33,530
+X وY واخد المعادلة بدل X وY وبتالي بعرف مسار
+
+64
+00:05:33,530 --> 00:05:39,650
+اليسام هذا السؤال هو كيف بدي أضيع T بين الأثنين
+
+65
+00:05:39,650 --> 00:05:45,090
+هذين طبعا بأكثر من طريقة في طريقة أتعلمناها في
+
+66
+00:05:45,090 --> 00:05:46,030
+calculus B
+
+67
+00:05:49,280 --> 00:05:54,980
+بقدر اقول له T تساوي cosine inverse X وشيل ال T
+
+68
+00:05:54,980 --> 00:06:00,520
+هذي و احطها sine ل cosine inverse X مظبوط؟ و بعد
+
+69
+00:06:00,520 --> 00:06:04,500
+ذلك هجيب sine ل cosine inverse X شو شكلها يعني
+
+70
+00:06:04,500 --> 00:06:09,300
+اختصرها بال 3X وبالتالي بجيب المعادلة واحد اشتر
+
+71
+00:06:09,300 --> 00:06:13,920
+منها شوية جالك و قوله شلق الكعبأخذت المتطابقات
+
+72
+00:06:13,920 --> 00:06:17,600
+المثلثية في calculus بقوله صحيح بقال انا مستطيع
+
+73
+00:06:17,600 --> 00:06:20,920
+استخدام المتطابقات المثلثية ولا اجيب معك و سبالة
+
+74
+00:06:20,920 --> 00:06:26,600
+ولا غيره بقولك اذا ربعت هذه و ربعت هذه و جمعت بطلع
+
+75
+00:06:26,600 --> 00:06:30,430
+واحد صحيح بضلش عندي Tيقولوا والله كلامك مزوغ، برضه
+
+76
+00:06:30,430 --> 00:06:35,830
+هذه طريقة لسه أبسط من طريقتنا الأولى يبقى أنت حل
+
+77
+00:06:35,830 --> 00:06:40,590
+بالطريقة اللي تقدر عليها طيرلي T بين المعادلتين
+
+78
+00:06:40,590 --> 00:06:46,090
+وهاتي معادلة واحدة بدون اتمين X وY يبقى احنا لو
+
+79
+00:06:46,090 --> 00:06:52,840
+جينا هنا قلنا المطلوب الأول لهذا السؤالأخذت X
+
+80
+00:06:52,840 --> 00:06:59,660
+تربية زائد Y تربية يبقى تساوي Cos تربية T زائد Sin
+
+81
+00:06:59,660 --> 00:07:05,180
+تربية T هذا بدي يعطيك ان X تربية زائد Y تربية
+
+82
+00:07:05,180 --> 00:07:14,700
+يساوي كده؟ معدلتش هذه يبقى هذه equation of a
+
+83
+00:07:14,700 --> 00:07:19,200
+circle with center
+
+84
+00:07:20,350 --> 00:07:31,170
+at the origin and radius اللي
+
+85
+00:07:31,170 --> 00:07:37,190
+هو oneطيب كويسة، هذه معلومة كويسة، الآن بدنا نروح
+
+86
+00:07:37,190 --> 00:07:42,830
+نرسم الرسمة بتبعتنا، أبصر تطلع دائرة كاملة،
+
+87
+00:07:42,830 --> 00:07:48,770
+الدائرة تلف مرتين، تلاتة، نصف دائرة، ربع دائرة،
+
+88
+00:07:48,770 --> 00:07:52,830
+الجد ما يطلع يطلع، المهم أنا مقيد بالفترة اللي
+
+89
+00:07:52,830 --> 00:07:57,030
+أعطاها ليها دي، تمام؟ لذلك بدأ أجيله للنقطة
+
+90
+00:07:57,030 --> 00:08:03,860
+التانيةبدي احسب اللي هو قيمة المعادلة او قيمة
+
+91
+00:08:03,860 --> 00:08:08,020
+النقاط اللي بدي اتحرك عليها الجسم خلال الفترة اللي
+
+92
+00:08:08,020 --> 00:08:14,900
+عندنا هذه فباجي بقولهلو كانت ال T تساوي 0 then X
+
+93
+00:08:14,900 --> 00:08:19,760
+وY بده يساوي اللي هو مين لشان أول مرة بده أكتبها
+
+94
+00:08:19,760 --> 00:08:26,580
+بالتفصيل يبقى هاي cosine 0 و هنا sin 0 cosine صفر
+
+95
+00:08:26,580 --> 00:08:33,200
+القداش cosine 0 إذا بدنا نبدأ من عند النقبة 1 و 0
+
+96
+00:08:33,200 --> 00:08:39,020
+دائما يا شباب ناخدتجاه parameter T تزايدي تجاه
+
+97
+00:08:39,020 --> 00:08:43,580
+increasing T من أقل القيمة ومن نجرح إلى أكبر قيمة
+
+98
+00:08:43,580 --> 00:08:47,580
+مش نمضى من الآخر ونرجع للأول يبقى في كل الرسم تبع
+
+99
+00:08:47,580 --> 00:08:52,020
+ال parameter كذا وعشان ناخد اتجاه تزايد T يبقى أقل
+
+100
+00:08:52,020 --> 00:08:55,360
+القيمة تاخدها T تساوي Zero لو أخدت القيمة اللي
+
+101
+00:08:55,360 --> 00:09:02,180
+بعدها فجهة قلت مثلا لو T تساوي بي على اتنين then X
+
+102
+00:09:02,180 --> 00:09:10,590
+Y تساوينأتي الآن لـcos πي على اتنين و sin باي على
+
+103
+00:09:10,590 --> 00:09:16,230
+اتنين cos باي على اتنين هو زره و sin باي على اتنين
+
+104
+00:09:16,230 --> 00:09:24,190
+هو واحد بعد ذلك لو كانت ال T تساوي باي then x و y
+
+105
+00:09:24,190 --> 00:09:32,890
+يساوي cos باي و هنا sin باي cos مية و تمانين و sin
+
+106
+00:09:33,310 --> 00:09:39,590
+بـ 0 يبقى خلاصنا الكلام اللي قدناه هذا بدأت أخد
+
+107
+00:09:39,590 --> 00:09:44,510
+هنا الرسم تبعي و أشوف شو المنحنة اللي صار عندى
+
+108
+00:09:44,510 --> 00:09:50,190
+يبقى هذا محور X هذا محور Y و هذه نقطة الأصل اللي
+
+109
+00:09:50,190 --> 00:09:55,410
+هو Zero النقطة الأولى 1 و Zero X و Y تساوي 1 و
+
+110
+00:09:55,410 --> 00:10:00,070
+Zero 1 و Zero اللي هي النقطة اللي عندنا هذه 1 و
+
+111
+00:10:00,070 --> 00:10:05,740
+Zeroالنقطة التانية 01 01 اللي هي النقطة هذه اللي
+
+112
+00:10:05,740 --> 00:10:12,460
+فوق يبقى هذه 01 إذا المنحنة من تحت أجه طالع لوين؟
+
+113
+00:10:12,460 --> 00:10:17,180
+لفوق بالشكل اللي عندنا هذا يبقى اتجاه وين؟ إلى
+
+114
+00:10:17,180 --> 00:10:22,560
+أعلىوصلنا للنقطة هذه بعد النقطة هذه بتروح للنقطة
+
+115
+00:10:22,560 --> 00:10:26,480
+سالب واحد وزيرو سالب واحد وزيرو اللي هي النقطة
+
+116
+00:10:26,480 --> 00:10:30,980
+اللي عندنا هذه هي سالب واحد وزيرو يبقى جان منحنى
+
+117
+00:10:30,980 --> 00:10:37,060
+او اجانزل زي هيك بهذا الشكل يبقى مصار الجثيم عبارة
+
+118
+00:10:37,060 --> 00:10:44,340
+عن ايش نصف دائرة او نصف الدائرة العلوي تمام فباجي
+
+119
+00:10:44,340 --> 00:10:47,580
+بقوله هنا the graph
+
+120
+00:10:50,140 --> 00:10:53,800
+is the upper half
+
+121
+00:10:56,400 --> 00:11:04,760
+النصف العلوي of the circle اللي هي من X تربيهة
+
+122
+00:11:04,760 --> 00:11:09,660
+زائد Y تربيهة تساوي واحد خلصوا المطلوب التاني لإنه
+
+123
+00:11:09,660 --> 00:11:13,380
+جال لجراف ال Cartesian equation on the given
+
+124
+00:11:13,380 --> 00:11:19,040
+interval ابنجي للمطلوب التالت جالي هافلة direction
+
+125
+00:11:19,040 --> 00:11:25,830
+of motion يبقى اتجاه الحركة وين؟عكس عقارب الساعة
+
+126
+00:11:25,830 --> 00:11:34,430
+يبقى باجي بقول the direction of
+
+127
+00:11:34,430 --> 00:11:50,490
+motion اتجاه الحركة is in the counter clockwise في
+
+128
+00:11:50,490 --> 00:11:53,110
+اتجاه ضب عقارب الساعة
+
+129
+00:11:57,940 --> 00:12:06,360
+المثال الثاني بيقول
+
+130
+00:12:06,360 --> 00:12:13,500
+X يساوي T وY تساوي الجذر التربية إلى واحد ناقص T
+
+131
+00:12:13,500 --> 00:12:19,440
+تربية وسلب واحد اقل من او يساوي T اقل من واحد
+
+132
+00:12:22,180 --> 00:12:26,340
+خلّعنا في المعادلة هذه والمعادلة هذه الشكل هم
+
+133
+00:12:26,340 --> 00:12:31,980
+بيقربوا لبعض شكلهم هيك طبعا لأ كل واحدة في شجة لكن
+
+134
+00:12:31,980 --> 00:12:35,740
+تعالى شوف نتعرف عليهم و نشوف هذه معادلة ايش بتقرب
+
+135
+00:12:35,740 --> 00:12:40,400
+للمعادلة اللي فوق ولا بعيدة كل البعد عنها بعدين
+
+136
+00:12:40,400 --> 00:12:41,540
+بيقولوا solution
+
+137
+00:13:03,320 --> 00:13:09,520
+ولكن يبقى الخطوة الأولى بدي أحذف T بين المعادلتين
+
+138
+00:13:09,520 --> 00:13:15,320
+بسيط X يساوي T بشيل T و بحط مكانها X يبقى صارة
+
+139
+00:13:15,320 --> 00:13:21,120
+المعادلة Y يساوي الجذر التربية إلى 1 ناقص X تربية
+
+140
+00:13:21,560 --> 00:13:27,700
+أو لو ربعنا الطرفين بيصير Y تربية سوى واحد ناقص X
+
+141
+00:13:27,700 --> 00:13:33,880
+تربية او X تربية زائد Y تربية دي سوى مين؟ اظن نفس
+
+142
+00:13:33,880 --> 00:13:39,420
+المعادلة اللي فوقيبقى نفس اللي فوق شكلا على
+
+143
+00:13:39,420 --> 00:13:42,860
+الطبيعة الله يعلم لسه مش عارفين يبقى هذا ال X
+
+144
+00:13:42,860 --> 00:13:56,280
+تربيع يبقى question of a circle with center at the
+
+145
+00:13:56,280 --> 00:14:01,560
+origin and radius
+
+146
+00:14:02,800 --> 00:14:07,600
+اللي هو one نصف القطر يساوي واحد صحيح الان انت هنا
+
+147
+00:14:07,600 --> 00:14:13,860
+من المطلوب الأول بدي اجي للمطلوب الثاني بدي ااخد
+
+148
+00:14:13,860 --> 00:14:24,340
+لو كانت ال T تساوي سالب واحد then ال X و Y بدها
+
+149
+00:14:24,340 --> 00:14:29,850
+تساوي طلعله هنا كويسأنا حاطي الـT بـ-1 يبقى صير
+
+150
+00:14:29,850 --> 00:14:35,710
+سالب واحد و هنا كداش؟ Zero يبقى سالب واحد و Zero
+
+151
+00:14:35,710 --> 00:14:45,550
+اللي بعدها لو كانت الـT مثلا تساوي Zero then XY
+
+152
+00:14:45,550 --> 00:14:56,110
+يساوي Zero و كداش؟ واحد هنا لو كانتالـ T تساوي
+
+153
+00:14:56,110 --> 00:15:06,470
+واحد ثم XY تساوي بالدرجة من XY T بواحد يبقى واحد و
+
+154
+00:15:06,470 --> 00:15:13,320
+Zero كذلكطيب تعالى نرسم هذا و نرسم الشكلة يبقى لو
+
+155
+00:15:13,320 --> 00:15:19,460
+جيت هنا و رسمت الرسمة تبعتنا هذا محور X هذا محور Y
+
+156
+00:15:19,460 --> 00:15:25,360
+وهذه نقطة الأصل النقطة الأولى هي الهيمين اللى سالب
+
+157
+00:15:25,360 --> 00:15:32,520
+واحد وزيرو سالب واحد وزيرو يبقى هاي سالب واحد
+
+158
+00:15:32,520 --> 00:15:41,980
+وزيروالنقطة التانية Zero واحد هي نقطة Zero واحد
+
+159
+00:15:41,980 --> 00:15:48,050
+يبقى المنحنة او ال particle طالع الى اعلىبعد ذلك
+
+160
+00:15:48,050 --> 00:15:52,050
+النقطة الأخيرة هي واحدة وزيرة واحدة وزيرة هي
+
+161
+00:15:52,050 --> 00:15:58,030
+النقطة هذه إذا الجثيم هيجي رايح على النقطة هذه إلى
+
+162
+00:15:58,030 --> 00:16:03,590
+أسفل يبقى الرسم عبارة عن مين؟ برضه نصف الدائرة
+
+163
+00:16:03,590 --> 00:16:13,050
+العلوي يبقى هنا باجي بقوله the graph is
+
+164
+00:16:13,050 --> 00:16:26,130
+the upperHalf النصف العلوي of the circle X تربية
+
+165
+00:16:26,130 --> 00:16:28,750
+زائد Y تربية تساوي واحد
+
+166
+00:16:32,250 --> 00:16:36,830
+الخلاف بس في ال direction of motion يبقى احنا لو
+
+167
+00:16:36,830 --> 00:16:41,130
+جمنا غيرنا ال T هذه او ال T اللي فوق ممكن نحصل على
+
+168
+00:16:41,130 --> 00:16:45,990
+مين؟ على نفس الرسمة و نفس الاتجاه ماعنا مشكلة في
+
+169
+00:16:45,990 --> 00:16:50,330
+هذه الحالة على اي حال ماعنا مشكلة يبقى الرسمة هي
+
+170
+00:16:50,330 --> 00:16:54,150
+نفس الرسمة الخلاف بس في مين؟ في الاتجاه وبالتالي
+
+171
+00:16:54,150 --> 00:17:00,350
+مثلنا معادلة الدائرة باكثر من parametric equations
+
+172
+00:17:00,680 --> 00:17:04,700
+وتسألنا في البداية هل هدول بيشبهوا بعض؟ قولنا
+
+173
+00:17:04,700 --> 00:17:08,480
+بيجربوش لبعض، خلاص شكلهم بيجربوش لبعض، لكن عند
+
+174
+00:17:08,480 --> 00:17:13,540
+الشغل أنا بطلع لنفس مين؟ نفس الجزء أو نفس النصف
+
+175
+00:17:13,540 --> 00:17:17,900
+العليه من الدارة، الخلاف ال orientation بس فقط، لا
+
+176
+00:17:17,900 --> 00:17:25,480
+غير النقطة الثالثة والاخيرة بدي الاتجاه،
+
+177
+00:17:25,480 --> 00:17:27,560
+ايوة يبقى the direction
+
+178
+00:17:47,780 --> 00:17:53,440
+سؤال التالت ال
+
+179
+00:17:53,440 --> 00:18:05,080
+Xتساوي تلاتة T وال Y تساوي تسعة T تربيع وال T هذه
+
+180
+00:18:05,080 --> 00:18:09,640
+محصورة ما بين infinity لغاية infinity
+
+181
+00:18:18,100 --> 00:18:24,060
+يبقى بناروح نجيب العلاقة ما بين ال X والY بقت نحذف
+
+182
+00:18:24,060 --> 00:18:30,680
+T ما بين الطرفين بنقوله بسيطة Y تساوي تسعة T تربيع
+
+183
+00:18:30,680 --> 00:18:39,840
+أو تلاتة T لكل تربيع تلاتة T مين هي؟ X يبقى هذا
+
+184
+00:18:39,840 --> 00:18:48,440
+معناه ان Y تساوي X تربيع ماعادتاش هذهأيوة white
+
+185
+00:18:48,440 --> 00:18:53,760
+convex تربيها parabola with vertex يبقى هذه
+
+186
+00:18:53,760 --> 00:19:09,880
+parabola with vertex at the origin and open up
+
+187
+00:19:09,880 --> 00:19:16,080
+ومفتوحة إلى أعلى مرة تانيةبقول why to sew extra
+
+188
+00:19:16,080 --> 00:19:19,920
+يعني القرابل و ال vertex at the origin يبقى
+
+189
+00:19:19,920 --> 00:19:23,180
+المنحنى عارفين و الرأس تبعه ان ده نقطة اللصوص اللي
+
+190
+00:19:23,180 --> 00:19:28,240
+مفتوح لوين الاعلى لأن الإشارة هذه إشارة لو كان
+
+191
+00:19:28,240 --> 00:19:32,200
+السنة اللي بصير مفتوح لوين الاسفل و ال vertex at
+
+192
+00:19:32,200 --> 00:19:37,740
+the origin هذا المطلوب الأول المطلوب الثاني يبقى
+
+193
+00:19:37,740 --> 00:19:42,100
+بدنا نيجي ناخد قيم مختلفة لتيم ماعنديش أول ال
+
+194
+00:19:42,100 --> 00:19:46,790
+interval و أخر ال intervalلذالك خد أي نقطة بدك
+
+195
+00:19:46,790 --> 00:19:50,750
+إياها خلال الـ real line كلها، لأن الـ T معرضة
+
+196
+00:19:50,750 --> 00:19:54,570
+وين؟ على كل الـ real line، بكفني تلت نقاط، بعرف
+
+197
+00:19:54,570 --> 00:19:59,390
+وين اتجاه وطالع، نازل، ماشي، الاخري، فمثلا، لو جيت
+
+198
+00:19:59,390 --> 00:20:04,470
+قلت لو كانت الـ T تساوي سالب واحد، على سبيل
+
+199
+00:20:04,470 --> 00:20:12,460
+المثال، thenالـ X والـ Y بتساوي الـ T بسالب واحد
+
+200
+00:20:12,460 --> 00:20:20,240
+يبقى سالب تلاتة والـ Y قداش تسعة اللي بعدها لو كان
+
+201
+00:20:20,240 --> 00:20:27,120
+الـ T تساوي Zero then X وY تساوي Zero Zero مظبوط؟
+
+202
+00:20:27,790 --> 00:20:34,990
+نمر تلاتة لو كانت ال T تساوي واحد مثلاً، then XY
+
+203
+00:20:34,990 --> 00:20:41,570
+يساوي، حط واحد بيصير تلاتة و كدهش؟ تلاتة وتسعة
+
+204
+00:20:41,570 --> 00:20:47,750
+كذلكبنروح نرسم الرسم هذه يبقى لو روحنا رسمنا الرسم
+
+205
+00:20:47,750 --> 00:20:53,750
+هذه بتاخد الشكل التالي هذا محور X محور Y هذه نقطة
+
+206
+00:20:53,750 --> 00:21:00,710
+الأصل النقطة الأولى سالب تلاتة و بدك تطلع فوق تسعة
+
+207
+00:21:00,710 --> 00:21:06,750
+يبقى النقطة هذه سالب تلاتة وتسعة النقطة الثانية
+
+208
+00:21:06,750 --> 00:21:13,010
+Zero و Zero يبقى المنحنة بيجيني نازل هيك إلى أسفل
+
+209
+00:21:13,550 --> 00:21:17,430
+النقطة اللي بعدها تلاتة وتسعة يبقى هذه السالب
+
+210
+00:21:17,430 --> 00:21:23,410
+تلاتة يبقى هنا تجيني تلاتة واطلع فوق هنا جبل هذه
+
+211
+00:21:23,410 --> 00:21:28,510
+تماما بجين تسعة يبقى النقطة هذه تلاتة وتسعة
+
+212
+00:21:28,510 --> 00:21:34,750
+وبالتالي المنحنة بده يطلع الى أسفل بهذا الشكل يبقى
+
+213
+00:21:34,750 --> 00:21:40,450
+رسمنا المنحنة يبقى باجي بقوله هنا the graph
+
+214
+00:21:43,440 --> 00:21:50,420
+is Parabola النقطة الأخيرة لأن النقطة التالتة بدنا
+
+215
+00:21:50,420 --> 00:22:02,520
+الاتجاه حركة الجسم يبقى the particle move
+
+216
+00:22:03,790 --> 00:22:07,210
+طبعاً مش عند النقطين هذوله بس شباب بظل هذا ماشي
+
+217
+00:22:07,210 --> 00:22:10,170
+إلى ما شاء الله و هذا ماشي إلى ما شاء الله بهذا
+
+218
+00:22:10,170 --> 00:22:18,650
+الشكل يبقى the particle move on the left على الشجة
+
+219
+00:22:18,650 --> 00:22:29,250
+الشمال from above to down يبقى من أعلى إلى أسفل
+
+220
+00:22:29,250 --> 00:22:30,530
+until
+
+221
+00:22:32,990 --> 00:22:43,350
+the original حتى نقطة الأصل and then و من ثم moves
+
+222
+00:22:43,350 --> 00:22:46,790
+from
+
+223
+00:22:46,790 --> 00:22:49,890
+down
+
+224
+00:22:49,890 --> 00:22:57,630
+to up on the right على الشجرة اليمين
+
+225
+00:23:40,830 --> 00:23:42,810
+سؤال الرابع
+
+226
+00:23:45,530 --> 00:23:56,710
+بقول X يساوي أربع صين T وY يساوي خمسة قصين T وT من
+
+227
+00:23:56,710 --> 00:24:08,750
+عند الصفر لغاية اثنين باي يلا
+
+228
+00:24:08,750 --> 00:24:14,450
+بدنا نحذف T بين المعادلتين حد يعرف يقولي كيف؟
+
+229
+00:24:18,690 --> 00:24:26,230
+هذه قصة بتطوّر بس فاكر كويس تقدر تخلّيه للشك
+
+230
+00:24:26,230 --> 00:24:32,990
+الليمين صين و كوسين فقط بدون أرقام و بالربع يبقى
+
+231
+00:24:32,990 --> 00:24:40,070
+هنا بقدر أقول النقطة I هذه بقدر نكتب X على أربعة
+
+232
+00:24:40,070 --> 00:24:48,890
+تساوي صين T وهذه Y على خمسة يساوي كوسين Tالان مربع
+
+233
+00:24:48,890 --> 00:24:55,810
+الطرفين يبقى x تربيع على 16 زائد y تربيع على 25
+
+234
+00:24:55,810 --> 00:25:03,410
+يساوي sin تربيه T زائد cos تربيه T او ان شئتهم
+
+235
+00:25:03,410 --> 00:25:10,670
+فاقولوا x تربيه على 16 زائد y تربيع على 25 يساوي 1
+
+236
+00:25:10,670 --> 00:25:15,790
+معدلات ايش هذا يا شباب؟ قطع ناقص، اللي هو هذا
+
+237
+00:25:15,790 --> 00:25:22,990
+القطع المكافئ الأولانييبقى هذه equation of an
+
+238
+00:25:22,990 --> 00:25:27,790
+ellipse طيب
+
+239
+00:25:27,790 --> 00:25:32,760
+هذا ال ellipse شكل بيضاويهو المحور الرئيسي ومحور
+
+240
+00:25:32,760 --> 00:25:37,620
+ثانوي كم هو المحور الرئيسي او من المحور الرئيسي
+
+241
+00:25:37,620 --> 00:25:43,380
+لهذا الالب؟ why ليش؟ لأن المقام أكبر يبقى في حالة
+
+242
+00:25:43,380 --> 00:25:47,400
+الالب بنقدر نجيب ال major axis اللي هو المحور
+
+243
+00:25:47,400 --> 00:25:52,100
+الرئيسي من خلال الرقم اللي موجود في المقام صاحب
+
+244
+00:25:52,100 --> 00:25:56,540
+المقام الرفيع بيكون هو ال major axis يعني ليش
+
+245
+00:25:56,540 --> 00:26:01,580
+الرفيع؟ يعني أكبر قيمةيبقى equation of an ellipse
+
+246
+00:26:01,580 --> 00:26:13,920
+with major axis محوى الرئيسي along the y-axis هذا
+
+247
+00:26:13,920 --> 00:26:18,780
+بنفعنا كيف؟ بنفعنا عند الرسم، نعرف كيف نرسم نقطة
+
+248
+00:26:18,780 --> 00:26:24,890
+ثانية بنانيجي ناخد القيم المختلفة لـT، يبقى FT
+
+249
+00:26:24,890 --> 00:26:33,710
+تساوي Zero ثم X Y تساوي Zero Sin Zero بقداش؟ ب
+
+250
+00:26:33,710 --> 00:26:42,310
+Zero Cos Zero خمسة ثم لو كانت T تساوي Pi على اتنين
+
+251
+00:26:42,310 --> 00:26:50,530
+مثلا ثم X Y يساوي بدنا نشيل T ونحط مكانها Pi على
+
+252
+00:26:50,530 --> 00:26:55,710
+اتنين يبقى بصير هذا كداش؟اربع و هنا باي على اتنين
+
+253
+00:26:55,710 --> 00:27:02,450
+كده؟ Zero اللي بعدها لو كانت ال T تساوي باي على
+
+254
+00:27:02,450 --> 00:27:07,230
+سبيل المثال يبقى ال X و ال Y تساوي
+
+255
+00:27:13,780 --> 00:27:19,140
+بسالب واحد يبقى سالب خمسة اللي بعدها لو كان ال T
+
+256
+00:27:19,140 --> 00:27:24,900
+تساوي تلاتة باي على اتنين متين وسبعين درجة يبقى
+
+257
+00:27:24,900 --> 00:27:32,180
+then ال X وال Y يساوي صين المتين وسبعين سالب واحد
+
+258
+00:27:32,180 --> 00:27:37,940
+في اربعة بسالب اربعة قصين المتين وسبعين ب zero
+
+259
+00:27:37,940 --> 00:27:44,250
+اللي بعدها لو كانت ال T تساوي اتنين بايبعد ذلك XY
+
+260
+00:27:44,250 --> 00:27:50,570
+تساوي نجل
+
+261
+00:27:50,570 --> 00:27:54,810
+اتنين و اتنين باي زي ال zero ان هنا دورة كاملة
+
+262
+00:27:54,810 --> 00:28:02,970
+يبقى بصير قداش zero و خمسة يبقى ال graph عبارة عن
+
+263
+00:28:02,970 --> 00:28:07,030
+ellipse ذكرنا و ال major axis along the Y axis
+
+264
+00:28:07,030 --> 00:28:14,030
+بدنا نرسم يبقى هذه الرسمة اللي عندناهذا محور X
+
+265
+00:28:14,030 --> 00:28:21,490
+وهذا محور Y وهذا نقطة الأصل Zero النقطة الأولى
+
+266
+00:28:21,490 --> 00:28:28,430
+Zero خمسة يبقى هذه Zero خمسة النقطة الثانية أربعة
+
+267
+00:28:28,430 --> 00:28:32,590
+و Zero أربعة و Zero اللي هي النقطة اللي عندنا هذه
+
+268
+00:28:32,590 --> 00:28:39,190
+أربعة و Zero يبقى من فوق نزلنا بهذا الشكل إلى أسفل
+
+269
+00:28:39,980 --> 00:28:43,940
+النقطة المبعوثة هي الـ zero والسالب خمسة Zero
+
+270
+00:28:43,940 --> 00:28:48,580
+والسالب خمسة تأتي من أين؟ هنا تحت يبقى هذا zero
+
+271
+00:28:48,580 --> 00:28:55,020
+وسالب خمسة يبقى المنحنقة وصل لهنا الشكل اللي عندنا
+
+272
+00:28:55,020 --> 00:29:00,030
+هذااللي بعض النقطة سالب اربعة وزيرو سالب اربعة
+
+273
+00:29:00,030 --> 00:29:05,130
+وزيرو اللي هي النقطة هذه سالب اربعة وزيرو يبقى
+
+274
+00:29:05,130 --> 00:29:09,690
+المنحنة طلع الى اعلى بالشكل هذا النقطة الأخيرة
+
+275
+00:29:09,690 --> 00:29:14,470
+زيرو خمس اليمين النقطة اللى فوق بالشكل اللى عندنا
+
+276
+00:29:14,470 --> 00:29:19,670
+هذا يبقى راسم المنحنة ماضلش عند اللي هي الاتجاه شو
+
+277
+00:29:19,670 --> 00:29:26,400
+رأيك في الاتجاه؟اه في اتجاه اقارب الساعة يبقى باجي
+
+278
+00:29:26,400 --> 00:29:35,040
+بقوله هنا النقطة التالتة والاخيرة the direction of
+
+279
+00:29:35,040 --> 00:29:43,240
+motion اتجاه الحركة in the clockwise
+
+280
+00:29:48,980 --> 00:30:13,100
+يبقى في اتجاه عقارب الساعة مثال
+
+281
+00:30:13,100 --> 00:30:13,780
+الخامس
+
+282
+00:30:38,650 --> 00:30:42,410
+خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة
+
+283
+00:30:54,810 --> 00:30:59,490
+بدا اجيب النقطة الأولى بدي اضايقها تيما بين ال X
+
+284
+00:30:59,490 --> 00:31:08,110
+والY بقى انا بدي علاقة بتربط السك مع التان تان
+
+285
+00:31:08,110 --> 00:31:14,560
+تربيه زاد واحد يساوي السك تربيهسك تربيع ناقص تان
+
+286
+00:31:14,560 --> 00:31:19,580
+تربيع يساوي واحد وبالتالي يتخلص من الشغل هذه يبقى
+
+287
+00:31:19,580 --> 00:31:23,540
+انا عند السك تربيع ناقص تان تربيع ان انتوا بده
+
+288
+00:31:23,540 --> 00:31:30,160
+اربع الطرفين يبقى لو اخدت X تربيع ناقص Y تربيع
+
+289
+00:31:30,160 --> 00:31:38,520
+هتساوي سك تربيتي ناقص تان تربيتيهذا معناه ان X
+
+290
+00:31:38,520 --> 00:31:44,500
+تربية ناقص Y تربية تساوي كم؟ تساوي واحد، معادلة
+
+291
+00:31:44,500 --> 00:31:49,440
+ايش هذه؟ قطع
+
+292
+00:31:49,440 --> 00:31:58,880
+زائد Hyperabula يبقى هذه equation of Hyperabula
+
+293
+00:31:59,920 --> 00:32:07,200
+يبقى قطع زائد هذه معادلة اللي هو قطع زائد القطع
+
+294
+00:32:07,200 --> 00:32:10,900
+الزائد اللي هو محور الرئيسي ومحور ثانوي المحور
+
+295
+00:32:10,900 --> 00:32:18,680
+الرئيسي هل هو في اتجاه ال X ولا Y؟ ويبقى
+
+296
+00:32:18,680 --> 00:32:27,540
+هذا with center at the origin and
+
+297
+00:32:29,030 --> 00:32:35,530
+focal axis أو major axis محور
+
+298
+00:32:35,530 --> 00:32:39,890
+بُقري along مين؟
+
+299
+00:32:40,940 --> 00:32:47,000
+الـ X-Axis يعني بندور على صاحب الإشارة الموجبة
+
+300
+00:32:47,000 --> 00:32:51,780
+وبهمنيش إيش يكون المقام، هدول مقامين زي بعض ممكن
+
+301
+00:32:51,780 --> 00:32:56,160
+مايكونوش زي بعض، كله بهمنيش، بهمني صاحب الإشارة
+
+302
+00:32:56,160 --> 00:33:02,060
+الموجبة طيب تمام، بدنا نيجي للنقطة الأولىبداجة
+
+303
+00:33:02,060 --> 00:33:07,180
+النقطة الثانية يبقى بداجة أقوله لو كانت ال T تساوي
+
+304
+00:33:07,180 --> 00:33:14,320
+بقدر أحط by على 2؟ لأ لأنه لا السك وولا حتى ال
+
+305
+00:33:14,320 --> 00:33:18,040
+turn معرف عند ال by على 2 يا أخي ليش ال by؟ خش
+
+306
+00:33:18,040 --> 00:33:23,200
+لجوا في الفترة شويةسالب اعطني سالب تسعين، قول سالب
+
+307
+00:33:23,200 --> 00:33:26,880
+تمانين، سالب سبعين، بس هم اللي بدهم ايش؟
+
+308
+00:33:26,880 --> 00:33:30,780
+Calculator، احنا بناخد زوايا ليس بالضروري يكون
+
+309
+00:33:30,780 --> 00:33:36,300
+عندي Calculator، يبقى لو أخدت سالب باي على أربع،
+
+310
+00:33:36,300 --> 00:33:47,320
+يبقى then XY تساوي، حطلي سالب باي على أربع، اليبقى
+
+311
+00:33:47,320 --> 00:33:52,200
+six سالب باية على أربعة هو six باية على أربعة يبقى
+
+312
+00:33:52,200 --> 00:33:59,040
+جذر اتنين يبقى سالب جذر اتنين يظل الخمسة واربعين
+
+313
+00:33:59,040 --> 00:34:06,940
+بواحد بس الاتن هذا اد يبقى بصير سالب واحد بعد ذلك
+
+314
+00:34:06,940 --> 00:34:14,140
+لو كانت ال T تساوي zero then ال XY تساوي
+
+315
+00:34:18,240 --> 00:34:23,420
+يبقى ال X و Y تساوي سكة ال zero اللي هو بواحد يبقى
+
+316
+00:34:23,420 --> 00:34:28,540
+سالق واحد و تاني ال zero اللي هو بزيرو اللي بعدها
+
+317
+00:34:28,540 --> 00:34:36,500
+لو كانت ال T تساوي باي على أربعة then X و Y تساوي
+
+318
+00:34:36,990 --> 00:34:42,810
+هذه السالب والسكة الأربعة اللي همين بجدر اتنين
+
+319
+00:34:42,810 --> 00:34:48,770
+وهنا ضل الخمسة واربعين اللي هم جداش بواحد بهذا
+
+320
+00:34:48,770 --> 00:34:54,990
+الشكل اروح نرسم الرسم اللي عندنايبقى هي الرسمة هي
+
+321
+00:34:54,990 --> 00:35:02,670
+المحاول هذا X وهذا Y وهذا نقطة الأصل النقطة الأولى
+
+322
+00:35:02,670 --> 00:35:06,110
+سالب جذر اتنين يعني سالب واحد وأربعة من عشرة
+
+323
+00:35:06,110 --> 00:35:10,870
+تقريبا سالب واحد وأربعة من عشرة أو سالب واحد يبقى
+
+324
+00:35:10,870 --> 00:35:15,770
+هذا سالب واحد وأربعة من عشرة وبدنا ننزل هنا سالب
+
+325
+00:35:15,770 --> 00:35:23,700
+واحد يبقى هذا سالب واحد أو سالب جذر اتنينو سالب
+
+326
+00:35:23,700 --> 00:35:29,600
+واحد، تمام؟ النقطة اللي بعدها سالب واحد و Zero هذا
+
+327
+00:35:29,600 --> 00:35:38,520
+سالب واحد جذر اتنين وهنا هتجيلك سالب واحد، كويس؟
+
+328
+00:35:38,520 --> 00:35:44,980
+يبقى المنحنة هيجيني من أسفل إلى أعلى بهذا الشكل
+
+329
+00:35:45,890 --> 00:35:52,610
+كويس يبقى طالع إلى أعلى بعد هيك من سالب جذر اتنين
+
+330
+00:35:52,610 --> 00:35:57,410
+و واحد سالب جذر اتنين و بدنا نطلع هنا قداش مقدار
+
+331
+00:35:57,410 --> 00:36:03,570
+واحد يبقى سالب جذر اتنين و واحد يبقى المنحنى بد
+
+332
+00:36:03,570 --> 00:36:10,220
+يجينا بمين بالشكل اللي عندنا هذايبقى واضح إنه ما
+
+333
+00:36:10,220 --> 00:36:14,920
+جاب ليش الـ hyperbola كلها وإنما جاب من النص إذا
+
+334
+00:36:14,920 --> 00:36:20,140
+بقيتها بتكون على الناحية التانية هي بدرسمها لك
+
+335
+00:36:20,140 --> 00:36:25,700
+نقطة عشان تعرف إن هذا hyperbola لكن ماظهرتش النص
+
+336
+00:36:25,700 --> 00:36:29,020
+في اللي عندنا هذا ظهر من النص في اللي عندنا هذا
+
+337
+00:36:29,020 --> 00:36:41,890
+يبقى ماجي بقوله the graph is the lefthand branch
+
+338
+00:36:41,890 --> 00:36:50,890
+يعني القوس او الجزء اللى على الشمال of the
+
+339
+00:36:50,890 --> 00:36:59,330
+hyperabula اللى هو من X تربية ناقص Y تربية تساوي
+
+340
+00:36:59,330 --> 00:37:05,450
+كده تساوي واحد ندى الان للاتجاه طبعا و هذا الى
+
+341
+00:37:05,450 --> 00:37:15,020
+اعلى كمانالنقطة الأخيرة اللي هو the direction of
+
+342
+00:37:15,020 --> 00:37:20,920
+motion from
+
+343
+00:37:20,920 --> 00:37:24,340
+down
+
+344
+00:37:24,340 --> 00:37:31,220
+to up يبقى من أسفل إلى أعلى
+
+345
+00:37:38,430 --> 00:37:38,730
+remark
+
+346
+00:38:14,100 --> 00:38:26,660
+المعادلات البرامترية of a line passes through
+
+347
+00:38:26,660 --> 00:38:29,980
+the
+
+348
+00:38:29,980 --> 00:38:39,800
+pointsالذي يمر بالنقطتين X node و Y node and X
+
+349
+00:38:39,800 --> 00:38:50,120
+واحد و Y واحد and X واحد و Y واحد are ال
+
+350
+00:38:50,120 --> 00:38:57,460
+X بده يسوي ال X node زاد X واحد ناقص X node في T و
+
+351
+00:38:57,460 --> 00:39:04,380
+ال Y بده يسوي Y nodeزائد y واحد ناقص y node في T
+
+352
+00:39:04,380 --> 00:39:14,160
+وT محصورة من سالب infinity إلى infinity example
+
+353
+00:39:14,160 --> 00:39:18,460
+find
+
+354
+00:39:18,460 --> 00:39:20,200
+the parameterizations
+
+355
+00:39:29,600 --> 00:39:40,480
+for the line segment for the line segment للقطع
+
+356
+00:39:40,480 --> 00:39:50,300
+المستقيمة with end points النقاط تبعتها الطرفين
+
+357
+00:39:50,300 --> 00:39:59,360
+تبعتها هو السالب واحد وثلاثة and ثلاثة وسالب اتنين
+
+358
+00:40:03,250 --> 00:40:03,990
+Solution
+
+359
+00:40:09,110 --> 00:40:13,890
+أحنا بنقدر نجيب معادلة الخط المستقيم بدلالة أي
+
+360
+00:40:13,890 --> 00:40:18,670
+نقطة موجودة عليه تمام؟ أي نقطتين موجودتين على الخط
+
+361
+00:40:18,670 --> 00:40:22,410
+المستقيم بواسطتهم بقدر اجيب معادلة الخط المستقيم
+
+362
+00:40:22,410 --> 00:40:26,990
+احنا هنجيب المعادلة هذه او المعادلة ال parameterية
+
+363
+00:40:26,990 --> 00:40:31,070
+بواسطة النقطتين لو كان عنده نقطتين على الخط
+
+364
+00:40:31,070 --> 00:40:35,250
+المستقيم x0 و y0 و x1 و y1 يبقى الصيغة ال
+
+365
+00:40:35,250 --> 00:40:37,970
+parameterية لمعادلتي الخط المستقيم
+
+366
+00:40:42,900 --> 00:40:47,800
+طبعاً T من سلب infinity إلى infinity هذا للمستقيم
+
+367
+00:40:47,800 --> 00:40:53,300
+أو للشعاع اللي ببدأ من zero و يبقى ل infinityلكن
+
+368
+00:40:53,300 --> 00:40:58,160
+لو خدت قطعة مستقيمة اذا انا حددتها بمين؟ بنقطة
+
+369
+00:40:58,160 --> 00:41:02,140
+الخط الواصل بين النقطتين فبقول هاتل ال
+
+370
+00:41:02,140 --> 00:41:07,200
+parameterization للقطع المستقيمة المنتهية
+
+371
+00:41:07,200 --> 00:41:13,100
+بالنقطتين الاتنين هذول بقوله بسيطة جدا يبقى هذا ال
+
+372
+00:41:13,100 --> 00:41:19,860
+X بده يساوي هذه بده اخدها هي X node وهذه Y nodeقبل
+
+373
+00:41:19,860 --> 00:41:23,920
+هذه x واحد و y و هذه نقطة البداية وهذه نقطة
+
+374
+00:41:23,920 --> 00:41:28,680
+النهاية للقطع المستقيمة يبقى x نقطة انت بقدراش
+
+375
+00:41:28,680 --> 00:41:37,920
+سالب واحد زائد ها ال x لتلاتة ناقص ناقص واحد كله
+
+376
+00:41:37,920 --> 00:41:44,500
+في T يبقى هذا بدي اعطيك ان x يساوي سالب واحد زائد
+
+377
+00:41:44,500 --> 00:41:50,950
+اربعة Tالمعادلة التانية y تساوي y not اللي هي قداش
+
+378
+00:41:50,950 --> 00:41:59,130
+تلاتة زائد ناقص اتنين اللي هو y واحد ناقص تلاتة
+
+379
+00:41:59,130 --> 00:42:07,510
+كله في T هذا بدي اعطيلك ان y ساوي تلاتة ناقص خمسة
+
+380
+00:42:07,510 --> 00:42:12,930
+T ضلت ان هنا T أبصر من وين لوين تعالوا نشوف T من
+
+381
+00:42:12,930 --> 00:42:19,270
+وين لوينمش محددالي لكن انا كيف بدي اجيب النقطة هذه
+
+382
+00:42:19,270 --> 00:42:25,210
+من خلال المعادلات البرامترية؟ لو حطتي قداش هنا
+
+383
+00:42:25,210 --> 00:42:34,680
+بحصل على النقطة الأولى صفر يبقى لو كانتالـ T تساوي
+
+384
+00:42:34,680 --> 00:42:42,780
+Zero ثم X و Y سيعطينا سالب واحد و تلاتة صفر بطير و
+
+385
+00:42:42,780 --> 00:42:47,880
+بظل سالب واحد و تلاتة اليمين النقطة الأولى هنا لو
+
+386
+00:42:47,880 --> 00:42:55,400
+كان الـ T أبصر قداش ثم X و Y سيعطينا النقطة
+
+387
+00:42:55,400 --> 00:43:02,860
+التانية اليمين تلاتة و سالب اتنينأيوة حطلي T بواحد
+
+388
+00:43:02,860 --> 00:43:07,360
+بيصير هنا أربعة و سالب واحد بيظل قداش تلاتة أيها
+
+389
+00:43:07,360 --> 00:43:12,560
+حطلي T بواحد بيظل تلاتة ناقص اتنين اللي هو ناقص
+
+390
+00:43:12,560 --> 00:43:19,860
+اتنين يبقى T تساوي واحد إذا T هذه بدأ تبقى أكبر من
+
+391
+00:43:19,860 --> 00:43:23,760
+أو تساوي Zero وأقل من أو تساوي واحد السؤال اللي
+
+392
+00:43:23,760 --> 00:43:28,200
+بدي أسأله لو عملت المعادلتين وما كتبتش هذا الشرط
+
+393
+00:43:28,200 --> 00:43:32,970
+حليت حلا كاملا؟لو كان السؤال عليه خمس علامات بقسمك
+
+394
+00:43:32,970 --> 00:43:38,130
+علي هذه علامتين اه در بالك لإن هذه جزء من الحلو
+
+395
+00:43:38,130 --> 00:43:42,810
+جزء من الحلو لإن قطعة مستقيمة محصورة ما بين نقطتين
+
+396
+00:43:42,810 --> 00:43:48,790
+هي النقطتين وهي المحاور هذا X وهذا Y النقطة الأولى
+
+397
+00:43:48,790 --> 00:43:54,930
+سالب واحد وتلاتة سالب واحد وتلاتة والنقطة التانية
+
+398
+00:43:54,930 --> 00:44:02,000
+تلاتة وسالب اتنين تلاتة وسالب اتنينيبقى النقطة
+
+399
+00:44:02,000 --> 00:44:08,420
+هادي، ها يبقى لو جيت ووصلت بينهم هكذا الخط أو
+
+400
+00:44:08,420 --> 00:44:12,660
+القطعة المستقيمة، لحد اين انتهى الsection
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..1b249f517805d32e10323664f0229a74e75b9b3b
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 270, "start": 0.0, "end": 2.7, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3798828025658925, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.003993988037109375, "words": [{"start": 0.0, "end": 2.7, "word": "موسيقى", "probability": 0.733349609375}], "temperature": 1.0}, {"id": 2, "seek": 3633, "start": 10.53, "end": 36.33, "text": "بسم الله الرحمن الرحيم الشرطر 11 هذا بتتكلم عن نقطتين أساسيتين النقطة الأولى اله ال parametric equations والنقطة الثانية اله polar coordinates الإحداثيات القطبية و ال parametric equations المعادلات ال parameterية أو المعادلات الوسيطية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 25124, 2288, 9566, 2288, 2975, 23758, 39894, 2655, 4117, 19528, 18871, 8717, 47432, 2655, 9957, 5551, 3794, 32277, 36081, 9957, 28239, 47432, 3660, 16247, 12610, 7578, 2423, 3224, 2423, 6220, 17475, 11787, 16070, 1863, 47432, 3660, 6024, 104, 7649, 10632, 2423, 3224, 12367, 21056, 33688, 24401, 5718, 104, 1829, 9307, 25062, 9566, 3555, 10632, 4032, 2423, 6220, 17475, 11787, 9673, 3615, 18513, 1211, 9307, 2423, 13075, 10632, 34051, 9673, 3615, 18513, 1211, 9307, 2423, 41779, 1829, 9566, 10632], "avg_logprob": -0.21608664180067452, "compression_ratio": 1.8407960199004976, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 10.53, "end": 10.83, "word": "بسم", "probability": 0.708251953125}, {"start": 10.83, "end": 11.05, "word": " الله", "probability": 0.9697265625}, {"start": 11.05, "end": 11.47, "word": " الرحمن", "probability": 0.9654947916666666}, {"start": 11.47, "end": 12.01, "word": " الرحيم", "probability": 0.9918619791666666}, {"start": 12.01, "end": 13.79, "word": " الشرطر", "probability": 0.5633544921875}, {"start": 13.79, "end": 14.15, "word": " 11", "probability": 0.51220703125}, {"start": 14.15, "end": 14.77, "word": " هذا", "probability": 0.61279296875}, {"start": 14.77, "end": 15.81, "word": " بتتكلم", "probability": 0.751953125}, {"start": 15.81, "end": 16.31, "word": " عن", "probability": 0.9892578125}, {"start": 16.31, "end": 17.39, "word": " نقطتين", "probability": 0.856689453125}, {"start": 17.39, "end": 18.41, "word": " أساسيتين", "probability": 0.95400390625}, {"start": 18.41, "end": 19.37, "word": " النقطة", "probability": 0.953125}, {"start": 19.37, "end": 19.99, "word": " الأولى", "probability": 0.96923828125}, {"start": 19.99, "end": 20.33, "word": " اله", "probability": 0.450439453125}, {"start": 20.33, "end": 20.51, "word": " ال", "probability": 0.482177734375}, {"start": 20.51, "end": 21.21, "word": " parametric", "probability": 0.65625}, {"start": 21.21, "end": 21.89, "word": " equations", "probability": 0.83544921875}, {"start": 21.89, "end": 22.77, "word": " والنقطة", "probability": 0.9046630859375}, {"start": 22.77, "end": 23.15, "word": " الثانية", "probability": 0.9283447265625}, {"start": 23.15, "end": 23.35, "word": " اله", "probability": 0.6640625}, {"start": 23.35, "end": 23.97, "word": " polar", "probability": 0.908203125}, {"start": 23.97, "end": 25.03, "word": " coordinates", "probability": 0.93310546875}, {"start": 25.03, "end": 26.71, "word": " الإحداثيات", "probability": 0.9198404947916666}, {"start": 26.71, "end": 27.89, "word": " القطبية", "probability": 0.9833984375}, {"start": 27.89, "end": 28.41, "word": " و", "probability": 0.389892578125}, {"start": 28.41, "end": 28.55, "word": " ال", "probability": 0.3818359375}, {"start": 28.55, "end": 29.09, "word": " parametric", "probability": 0.93896484375}, {"start": 29.09, "end": 29.87, "word": " equations", "probability": 0.94384765625}, {"start": 29.87, "end": 31.27, "word": " المعادلات", "probability": 0.9642578125}, {"start": 31.27, "end": 31.49, "word": " ال", "probability": 0.8427734375}, {"start": 31.49, "end": 32.57, "word": " parameterية", "probability": 0.56414794921875}, {"start": 32.57, "end": 33.03, "word": " أو", "probability": 0.54833984375}, {"start": 33.03, "end": 34.57, "word": " المعادلات", "probability": 0.96767578125}, {"start": 34.57, "end": 36.33, "word": " الوسيطية", "probability": 0.978125}], "temperature": 1.0}, {"id": 3, "seek": 5426, "start": 37.12, "end": 54.26, "text": "نجي لسيكشن الاول بتكلم عن parameterization of a plane curve احنا متعودين على الملحنة ان يكون دائما وابدا بدلالة x و y يعني معادلة تربط بين المتغيرين x و y و بنشتل عليها و هكذا", "tokens": [1863, 7435, 1829, 5296, 3794, 1829, 4117, 8592, 1863, 42963, 12610, 39894, 4117, 19528, 18871, 13075, 2144, 295, 257, 5720, 7605, 1975, 5016, 8315, 44650, 3615, 23328, 9957, 15844, 9673, 1211, 5016, 1863, 3660, 16472, 7251, 30544, 11778, 16373, 15042, 4032, 16758, 28259, 47525, 1211, 6027, 3660, 2031, 4032, 288, 37495, 22653, 20449, 18513, 37977, 6055, 25513, 9566, 49374, 9673, 2655, 17082, 13546, 9957, 2031, 4032, 288, 4032, 44945, 8592, 2655, 1211, 25894, 11296, 4032, 8032, 4117, 15730], "avg_logprob": -0.25672468203532545, "compression_ratio": 1.4816753926701571, "no_speech_prob": 0.0, "words": [{"start": 37.12, "end": 37.8, "word": "نجي", "probability": 0.3863728841145833}, {"start": 37.8, "end": 38.96, "word": " لسيكشن", "probability": 0.6260782877604166}, {"start": 38.96, "end": 39.4, "word": " الاول", "probability": 0.71142578125}, {"start": 39.4, "end": 39.88, "word": " بتكلم", "probability": 0.7530924479166666}, {"start": 39.88, "end": 40.06, "word": " عن", "probability": 0.95654296875}, {"start": 40.06, "end": 41.38, "word": " parameterization", "probability": 0.780517578125}, {"start": 41.38, "end": 41.92, "word": " of", "probability": 0.9697265625}, {"start": 41.92, "end": 42.42, "word": " a", "probability": 0.94873046875}, {"start": 42.42, "end": 43.1, "word": " plane", "probability": 0.55615234375}, {"start": 43.1, "end": 43.82, "word": " curve", "probability": 0.91650390625}, {"start": 43.82, "end": 44.58, "word": " احنا", "probability": 0.94140625}, {"start": 44.58, "end": 45.18, "word": " متعودين", "probability": 0.974365234375}, {"start": 45.18, "end": 45.38, "word": " على", "probability": 0.64892578125}, {"start": 45.38, "end": 46.06, "word": " الملحنة", "probability": 0.833984375}, {"start": 46.06, "end": 46.12, "word": " ان", "probability": 0.73876953125}, {"start": 46.12, "end": 46.46, "word": " يكون", "probability": 0.752685546875}, {"start": 46.46, "end": 46.82, "word": " دائما", "probability": 0.9236653645833334}, {"start": 46.82, "end": 47.24, "word": " وابدا", "probability": 0.8035481770833334}, {"start": 47.24, "end": 47.86, "word": " بدلالة", "probability": 0.9552001953125}, {"start": 47.86, "end": 48.38, "word": " x", "probability": 0.4697265625}, {"start": 48.38, "end": 49.02, "word": " و", "probability": 0.935546875}, {"start": 49.02, "end": 49.4, "word": " y", "probability": 0.6669921875}, {"start": 49.4, "end": 50.06, "word": " يعني", "probability": 0.85595703125}, {"start": 50.06, "end": 50.54, "word": " معادلة", "probability": 0.970703125}, {"start": 50.54, "end": 51.0, "word": " تربط", "probability": 0.9658203125}, {"start": 51.0, "end": 51.24, "word": " بين", "probability": 0.92236328125}, {"start": 51.24, "end": 52.04, "word": " المتغيرين", "probability": 0.98779296875}, {"start": 52.04, "end": 52.42, "word": " x", "probability": 0.92236328125}, {"start": 52.42, "end": 52.62, "word": " و", "probability": 0.94921875}, {"start": 52.62, "end": 52.82, "word": " y", "probability": 0.90869140625}, {"start": 52.82, "end": 52.94, "word": " و", "probability": 0.72412109375}, {"start": 52.94, "end": 53.32, "word": " بنشتل", "probability": 0.6265869140625}, {"start": 53.32, "end": 53.66, "word": " عليها", "probability": 0.9912109375}, {"start": 53.66, "end": 53.8, "word": " و", "probability": 0.86181640625}, {"start": 53.8, "end": 54.26, "word": " هكذا", "probability": 0.7639973958333334}], "temperature": 1.0}, {"id": 4, "seek": 8262, "start": 54.74, "end": 82.62, "text": "لكن ده مدخل اللي هو متغير في المصمم بالاتنين كويس هذا المتغير اللي هو الوسيط او ال parameter يبقى parameter يبقى هو المتغير الجديد اللي بدخل بين المتغيرين X وY وبالتالي بنكتب ال X وY بدلالة هذا المتغير الجديد اللي هنسميه هنا اللي هو T", "tokens": [1211, 19452, 11778, 3224, 3714, 3215, 9778, 1211, 13672, 1829, 31439, 44650, 17082, 13546, 8978, 9673, 9381, 2304, 2304, 20666, 9307, 1863, 9957, 9122, 45865, 3794, 23758, 9673, 2655, 17082, 13546, 13672, 1829, 31439, 2423, 41779, 1829, 9566, 1975, 2407, 2423, 13075, 7251, 3555, 4587, 7578, 13075, 7251, 3555, 4587, 7578, 31439, 9673, 2655, 17082, 13546, 25724, 16254, 3215, 13672, 1829, 47525, 9778, 1211, 49374, 9673, 2655, 17082, 13546, 9957, 1783, 4032, 56, 46599, 6027, 2655, 6027, 1829, 44945, 4117, 2655, 3555, 2423, 1783, 4032, 56, 47525, 1211, 6027, 3660, 23758, 9673, 2655, 17082, 13546, 25724, 16254, 3215, 13672, 1829, 8032, 1863, 38251, 1829, 3224, 34105, 13672, 1829, 31439, 314], "avg_logprob": -0.20762950584695145, "compression_ratio": 2.132978723404255, "no_speech_prob": 0.0, "words": [{"start": 54.74, "end": 55.2, "word": "لكن", "probability": 0.5784912109375}, {"start": 55.2, "end": 55.36, "word": " ده", "probability": 0.402099609375}, {"start": 55.36, "end": 56.22, "word": " مدخل", "probability": 0.81182861328125}, {"start": 56.22, "end": 56.86, "word": " اللي", "probability": 0.744384765625}, {"start": 56.86, "end": 57.1, "word": " هو", "probability": 0.97998046875}, {"start": 57.1, "end": 58.0, "word": " متغير", "probability": 0.9392903645833334}, {"start": 58.0, "end": 58.18, "word": " في", "probability": 0.81787109375}, {"start": 58.18, "end": 58.92, "word": " المصمم", "probability": 0.7633056640625}, {"start": 58.92, "end": 59.9, "word": " بالاتنين", "probability": 0.60760498046875}, {"start": 59.9, "end": 60.96, "word": " كويس", "probability": 0.726806640625}, {"start": 60.96, "end": 61.38, "word": " هذا", "probability": 0.64404296875}, {"start": 61.38, "end": 61.98, "word": " المتغير", "probability": 0.977783203125}, {"start": 61.98, "end": 62.12, "word": " اللي", "probability": 0.70068359375}, {"start": 62.12, "end": 62.18, "word": " هو", "probability": 0.90576171875}, {"start": 62.18, "end": 63.84, "word": " الوسيط", "probability": 0.7808837890625}, {"start": 63.84, "end": 64.24, "word": " او", "probability": 0.81396484375}, {"start": 64.24, "end": 64.52, "word": " ال", "probability": 0.91015625}, {"start": 64.52, "end": 65.24, "word": " parameter", "probability": 0.92041015625}, {"start": 65.24, "end": 66.46, "word": " يبقى", "probability": 0.817626953125}, {"start": 66.46, "end": 67.72, "word": " parameter", "probability": 0.84326171875}, {"start": 67.72, "end": 68.76, "word": " يبقى", "probability": 0.884033203125}, {"start": 68.76, "end": 69.08, "word": " هو", "probability": 0.9853515625}, {"start": 69.08, "end": 70.26, "word": " المتغير", "probability": 0.9874267578125}, {"start": 70.26, "end": 70.78, "word": " الجديد", "probability": 0.9788411458333334}, {"start": 70.78, "end": 70.92, "word": " اللي", "probability": 0.94482421875}, {"start": 70.92, "end": 71.3, "word": " بدخل", "probability": 0.7737630208333334}, {"start": 71.3, "end": 71.46, "word": " بين", "probability": 0.89208984375}, {"start": 71.46, "end": 72.36, "word": " المتغيرين", "probability": 0.97353515625}, {"start": 72.36, "end": 72.84, "word": " X", "probability": 0.5751953125}, {"start": 72.84, "end": 73.34, "word": " وY", "probability": 0.831298828125}, {"start": 73.34, "end": 74.5, "word": " وبالتالي", "probability": 0.91728515625}, {"start": 74.5, "end": 75.1, "word": " بنكتب", "probability": 0.969970703125}, {"start": 75.1, "end": 75.28, "word": " ال", "probability": 0.8037109375}, {"start": 75.28, "end": 75.52, "word": " X", "probability": 0.92529296875}, {"start": 75.52, "end": 75.98, "word": " وY", "probability": 0.787841796875}, {"start": 75.98, "end": 76.9, "word": " بدلالة", "probability": 0.9234619140625}, {"start": 76.9, "end": 77.26, "word": " هذا", "probability": 0.90478515625}, {"start": 77.26, "end": 78.24, "word": " المتغير", "probability": 0.99365234375}, {"start": 78.24, "end": 79.46, "word": " الجديد", "probability": 0.9830729166666666}, {"start": 79.46, "end": 79.62, "word": " اللي", "probability": 0.966064453125}, {"start": 79.62, "end": 80.38, "word": " هنسميه", "probability": 0.79931640625}, {"start": 80.38, "end": 80.68, "word": " هنا", "probability": 0.56396484375}, {"start": 80.68, "end": 81.78, "word": " اللي", "probability": 0.795166015625}, {"start": 81.78, "end": 82.18, "word": " هو", "probability": 0.98095703125}, {"start": 82.18, "end": 82.62, "word": " T", "probability": 0.94677734375}], "temperature": 1.0}, {"id": 5, "seek": 10858, "start": 83.34, "end": 108.58, "text": "عندما أقول parameterization of a plane curve المنحنى مقطع بدلالة x و y سأحوله إلى منحنى بدلالة t أو العكس المنحنى مقطع بدلالة t سأحذف ت ما بين المتغيرات اللي عندي و أخلي بس عندي من x و y العملية هذه هي اللي بسميها parameterization of a plane curve نعطي تعريف", "tokens": [3615, 41260, 15042, 5551, 39648, 13075, 2144, 295, 257, 5720, 7605, 9673, 1863, 5016, 1863, 7578, 3714, 47432, 3615, 47525, 1211, 6027, 3660, 2031, 4032, 288, 8608, 10721, 5016, 12610, 3224, 30731, 9154, 5016, 1863, 7578, 47525, 1211, 6027, 3660, 256, 34051, 18863, 4117, 3794, 9673, 1863, 5016, 1863, 7578, 3714, 47432, 3615, 47525, 1211, 6027, 3660, 256, 8608, 10721, 5016, 8848, 5172, 6055, 19446, 49374, 9673, 2655, 17082, 13546, 9307, 13672, 1829, 18871, 16254, 4032, 5551, 9778, 20292, 4724, 3794, 18871, 16254, 9154, 2031, 4032, 288, 18863, 42213, 10632, 29538, 39896, 13672, 1829, 4724, 38251, 1829, 11296, 13075, 2144, 295, 257, 5720, 7605, 8717, 3615, 9566, 1829, 37279, 16572, 5172], "avg_logprob": -0.2635323769812073, "compression_ratio": 1.8873239436619718, "no_speech_prob": 0.0, "words": [{"start": 83.34, "end": 83.68, "word": "عندما", "probability": 0.5474446614583334}, {"start": 83.68, "end": 83.88, "word": " أقول", "probability": 0.787841796875}, {"start": 83.88, "end": 85.02, "word": " parameterization", "probability": 0.80517578125}, {"start": 85.02, "end": 85.22, "word": " of", "probability": 0.9443359375}, {"start": 85.22, "end": 85.86, "word": " a", "probability": 0.68798828125}, {"start": 85.86, "end": 86.28, "word": " plane", "probability": 0.7451171875}, {"start": 86.28, "end": 86.66, "word": " curve", "probability": 0.9384765625}, {"start": 86.66, "end": 87.42, "word": " المنحنى", "probability": 0.748388671875}, {"start": 87.42, "end": 87.86, "word": " مقطع", "probability": 0.6935221354166666}, {"start": 87.86, "end": 88.5, "word": " بدلالة", "probability": 0.9505615234375}, {"start": 88.5, "end": 88.72, "word": " x", "probability": 0.58203125}, {"start": 88.72, "end": 88.92, "word": " و", "probability": 0.81884765625}, {"start": 88.92, "end": 89.06, "word": " y", "probability": 0.708984375}, {"start": 89.06, "end": 90.62, "word": " سأحوله", "probability": 0.63111572265625}, {"start": 90.62, "end": 91.08, "word": " إلى", "probability": 0.56884765625}, {"start": 91.08, "end": 92.18, "word": " منحنى", "probability": 0.9556884765625}, {"start": 92.18, "end": 93.16, "word": " بدلالة", "probability": 0.9482421875}, {"start": 93.16, "end": 93.6, "word": " t", "probability": 0.6123046875}, {"start": 93.6, "end": 94.12, "word": " أو", "probability": 0.619140625}, {"start": 94.12, "end": 94.64, "word": " العكس", "probability": 0.9210611979166666}, {"start": 94.64, "end": 95.62, "word": " المنحنى", "probability": 0.9091796875}, {"start": 95.62, "end": 95.94, "word": " مقطع", "probability": 0.9620768229166666}, {"start": 95.94, "end": 96.54, "word": " بدلالة", "probability": 0.9886474609375}, {"start": 96.54, "end": 96.68, "word": " t", "probability": 0.8818359375}, {"start": 96.68, "end": 97.46, "word": " سأحذف", "probability": 0.712890625}, {"start": 97.46, "end": 97.62, "word": " ت", "probability": 0.27978515625}, {"start": 97.62, "end": 97.84, "word": " ما", "probability": 0.3037109375}, {"start": 97.84, "end": 98.16, "word": " بين", "probability": 0.97021484375}, {"start": 98.16, "end": 99.5, "word": " المتغيرات", "probability": 0.96123046875}, {"start": 99.5, "end": 99.66, "word": " اللي", "probability": 0.8251953125}, {"start": 99.66, "end": 99.98, "word": " عندي", "probability": 0.8359375}, {"start": 99.98, "end": 100.12, "word": " و", "probability": 0.76416015625}, {"start": 100.12, "end": 100.46, "word": " أخلي", "probability": 0.4775390625}, {"start": 100.46, "end": 100.78, "word": " بس", "probability": 0.758544921875}, {"start": 100.78, "end": 101.12, "word": " عندي", "probability": 0.7744140625}, {"start": 101.12, "end": 101.46, "word": " من", "probability": 0.4951171875}, {"start": 101.46, "end": 102.34, "word": " x", "probability": 0.8154296875}, {"start": 102.34, "end": 102.7, "word": " و", "probability": 0.8857421875}, {"start": 102.7, "end": 102.96, "word": " y", "probability": 0.94677734375}, {"start": 102.96, "end": 103.9, "word": " العملية", "probability": 0.89794921875}, {"start": 103.9, "end": 104.22, "word": " هذه", "probability": 0.7958984375}, {"start": 104.22, "end": 104.36, "word": " هي", "probability": 0.57861328125}, {"start": 104.36, "end": 104.46, "word": " اللي", "probability": 0.948974609375}, {"start": 104.46, "end": 104.98, "word": " بسميها", "probability": 0.942138671875}, {"start": 104.98, "end": 106.1, "word": " parameterization", "probability": 0.972900390625}, {"start": 106.1, "end": 106.3, "word": " of", "probability": 0.29248046875}, {"start": 106.3, "end": 106.46, "word": " a", "probability": 0.81787109375}, {"start": 106.46, "end": 106.98, "word": " plane", "probability": 0.814453125}, {"start": 106.98, "end": 107.48, "word": " curve", "probability": 0.96875}, {"start": 107.48, "end": 108.04, "word": " نعطي", "probability": 0.8228759765625}, {"start": 108.04, "end": 108.58, "word": " تعريف", "probability": 0.97021484375}], "temperature": 1.0}, {"id": 6, "seek": 12274, "start": 109.94, "end": 122.74, "text": "قال لو عندك X هي function في T و Y هي function في T عبارة عن دوال مقطع في T و T موجودة في ال interval I ولا محدد طبيعة ال interval I", "tokens": [4587, 6027, 45164, 43242, 4117, 1783, 39896, 2445, 8978, 314, 4032, 398, 39896, 2445, 8978, 314, 6225, 3555, 9640, 3660, 18871, 11778, 2407, 6027, 3714, 47432, 3615, 8978, 314, 4032, 314, 3714, 29245, 23328, 3660, 8978, 2423, 15035, 286, 49429, 3714, 24401, 3215, 23032, 21292, 27884, 2423, 15035, 286], "avg_logprob": -0.30625, "compression_ratio": 1.4545454545454546, "no_speech_prob": 0.0, "words": [{"start": 109.94, "end": 110.28, "word": "قال", "probability": 0.4189453125}, {"start": 110.28, "end": 110.52, "word": " لو", "probability": 0.330078125}, {"start": 110.52, "end": 110.94, "word": " عندك", "probability": 0.38031005859375}, {"start": 110.94, "end": 111.16, "word": " X", "probability": 0.5859375}, {"start": 111.16, "end": 111.34, "word": " هي", "probability": 0.9736328125}, {"start": 111.34, "end": 111.82, "word": " function", "probability": 0.69091796875}, {"start": 111.82, "end": 112.2, "word": " في", "probability": 0.93603515625}, {"start": 112.2, "end": 112.4, "word": " T", "probability": 0.8466796875}, {"start": 112.4, "end": 113.22, "word": " و", "probability": 0.487060546875}, {"start": 113.22, "end": 113.68, "word": " Y", "probability": 0.485595703125}, {"start": 113.68, "end": 113.96, "word": " هي", "probability": 0.962890625}, {"start": 113.96, "end": 114.52, "word": " function", "probability": 0.70458984375}, {"start": 114.52, "end": 114.92, "word": " في", "probability": 0.935546875}, {"start": 114.92, "end": 115.34, "word": " T", "probability": 0.94580078125}, {"start": 115.34, "end": 116.24, "word": " عبارة", "probability": 0.9310302734375}, {"start": 116.24, "end": 116.44, "word": " عن", "probability": 0.9912109375}, {"start": 116.44, "end": 116.78, "word": " دوال", "probability": 0.6813151041666666}, {"start": 116.78, "end": 117.36, "word": " مقطع", "probability": 0.7978515625}, {"start": 117.36, "end": 117.56, "word": " في", "probability": 0.9306640625}, {"start": 117.56, "end": 117.82, "word": " T", "probability": 0.93115234375}, {"start": 117.82, "end": 118.02, "word": " و", "probability": 0.599609375}, {"start": 118.02, "end": 118.24, "word": " T", "probability": 0.744140625}, {"start": 118.24, "end": 118.76, "word": " موجودة", "probability": 0.96923828125}, {"start": 118.76, "end": 118.86, "word": " في", "probability": 0.9091796875}, {"start": 118.86, "end": 119.0, "word": " ال", "probability": 0.79248046875}, {"start": 119.0, "end": 119.66, "word": " interval", "probability": 0.60107421875}, {"start": 119.66, "end": 120.14, "word": " I", "probability": 0.9423828125}, {"start": 120.14, "end": 120.44, "word": " ولا", "probability": 0.292724609375}, {"start": 120.44, "end": 121.24, "word": " محدد", "probability": 0.9827473958333334}, {"start": 121.24, "end": 121.74, "word": " طبيعة", "probability": 0.9519856770833334}, {"start": 121.74, "end": 121.9, "word": " ال", "probability": 0.9150390625}, {"start": 121.9, "end": 122.3, "word": " interval", "probability": 0.8037109375}, {"start": 122.3, "end": 122.74, "word": " I", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 7, "seek": 14974, "start": 129.74, "end": 149.74, "text": "مجموعة النقاط X وY أو X هي F of T وY هي G of T مجموعة النقاط هذول is a parametric curve المنحنى الوسيطي أو المنحنى البراميطي يعني بدل ما كان بدلالة X وY خلته بدلالة T", "tokens": [2304, 7435, 2304, 2407, 27884, 28239, 4587, 41193, 1783, 4032, 56, 34051, 1783, 39896, 479, 295, 314, 4032, 56, 39896, 460, 295, 314, 3714, 7435, 2304, 2407, 27884, 28239, 4587, 41193, 8032, 8848, 12610, 307, 257, 6220, 17475, 7605, 9673, 1863, 5016, 1863, 7578, 2423, 41779, 1829, 9566, 1829, 34051, 9673, 1863, 5016, 1863, 7578, 2423, 26890, 10943, 1829, 9566, 1829, 37495, 22653, 47525, 1211, 19446, 25961, 47525, 1211, 6027, 3660, 1783, 4032, 56, 16490, 1211, 47395, 47525, 1211, 6027, 3660, 314], "avg_logprob": -0.28445028756038254, "compression_ratio": 1.623456790123457, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 129.74, "end": 130.7, "word": "مجموعة", "probability": 0.7529541015625}, {"start": 130.7, "end": 131.66, "word": " النقاط", "probability": 0.9158528645833334}, {"start": 131.66, "end": 132.54, "word": " X", "probability": 0.3017578125}, {"start": 132.54, "end": 133.42, "word": " وY", "probability": 0.5628662109375}, {"start": 133.42, "end": 134.2, "word": " أو", "probability": 0.23486328125}, {"start": 134.2, "end": 134.76, "word": " X", "probability": 0.7255859375}, {"start": 134.76, "end": 135.02, "word": " هي", "probability": 0.468505859375}, {"start": 135.02, "end": 135.24, "word": " F", "probability": 0.74755859375}, {"start": 135.24, "end": 135.46, "word": " of", "probability": 0.50830078125}, {"start": 135.46, "end": 135.62, "word": " T", "probability": 0.56640625}, {"start": 135.62, "end": 135.98, "word": " وY", "probability": 0.718994140625}, {"start": 135.98, "end": 136.22, "word": " هي", "probability": 0.859375}, {"start": 136.22, "end": 136.52, "word": " G", "probability": 0.88623046875}, {"start": 136.52, "end": 136.66, "word": " of", "probability": 0.7783203125}, {"start": 136.66, "end": 136.8, "word": " T", "probability": 0.96826171875}, {"start": 136.8, "end": 137.36, "word": " مجموعة", "probability": 0.872412109375}, {"start": 137.36, "end": 137.9, "word": " النقاط", "probability": 0.93701171875}, {"start": 137.9, "end": 138.44, "word": " هذول", "probability": 0.69873046875}, {"start": 138.44, "end": 139.08, "word": " is", "probability": 0.421142578125}, {"start": 139.08, "end": 139.42, "word": " a", "probability": 0.7294921875}, {"start": 139.42, "end": 140.18, "word": " parametric", "probability": 0.878173828125}, {"start": 140.18, "end": 140.66, "word": " curve", "probability": 0.96435546875}, {"start": 140.66, "end": 141.8, "word": " المنحنى", "probability": 0.824169921875}, {"start": 141.8, "end": 142.7, "word": " الوسيطي", "probability": 0.90185546875}, {"start": 142.7, "end": 142.86, "word": " أو", "probability": 0.446533203125}, {"start": 142.86, "end": 144.04, "word": " المنحنى", "probability": 0.8826171875}, {"start": 144.04, "end": 145.3, "word": " البراميطي", "probability": 0.7782796223958334}, {"start": 145.3, "end": 145.62, "word": " يعني", "probability": 0.816162109375}, {"start": 145.62, "end": 146.08, "word": " بدل", "probability": 0.98876953125}, {"start": 146.08, "end": 146.3, "word": " ما", "probability": 0.947265625}, {"start": 146.3, "end": 146.66, "word": " كان", "probability": 0.8447265625}, {"start": 146.66, "end": 147.24, "word": " بدلالة", "probability": 0.9444580078125}, {"start": 147.24, "end": 147.48, "word": " X", "probability": 0.9306640625}, {"start": 147.48, "end": 147.92, "word": " وY", "probability": 0.90673828125}, {"start": 147.92, "end": 148.76, "word": " خلته", "probability": 0.6689453125}, {"start": 148.76, "end": 149.44, "word": " بدلالة", "probability": 0.98193359375}, {"start": 149.44, "end": 149.74, "word": " T", "probability": 0.22802734375}], "temperature": 1.0}, {"id": 8, "seek": 17908, "start": 156.78, "end": 179.08, "text": "المعادلات البرامترية لهذا المنحنى يبقى المعادلات البرامترية لهذا المنحنى وT بسميه الوسيط او ال parameter لهذا المنحنى على اي حال لو عندي منحنى في الصيغة الكارتيزية و بدى اكتبه على الصيغة البرامترية يمكن كتابته باكثر من طريقة", "tokens": [45340, 3615, 18513, 1211, 9307, 2423, 26890, 10943, 2655, 2288, 10632, 46740, 15730, 9673, 1863, 5016, 1863, 7578, 7251, 3555, 4587, 7578, 9673, 3615, 18513, 1211, 9307, 2423, 26890, 10943, 2655, 2288, 10632, 46740, 15730, 9673, 1863, 5016, 1863, 7578, 4032, 51, 4724, 38251, 1829, 3224, 2423, 41779, 1829, 9566, 1975, 2407, 2423, 13075, 46740, 15730, 9673, 1863, 5016, 1863, 7578, 15844, 1975, 1829, 11331, 6027, 45164, 18871, 16254, 9154, 5016, 1863, 7578, 8978, 31767, 1829, 17082, 3660, 33251, 9640, 31371, 11622, 10632, 4032, 47525, 7578, 1975, 4117, 2655, 3555, 3224, 15844, 31767, 1829, 17082, 3660, 2423, 26890, 10943, 2655, 2288, 10632, 7251, 43020, 9122, 2655, 16758, 47395, 4724, 995, 4117, 49115, 9154, 23032, 16572, 28671], "avg_logprob": -0.2311698723043132, "compression_ratio": 2.1157894736842104, "no_speech_prob": 0.0, "words": [{"start": 156.78, "end": 157.9, "word": "المعادلات", "probability": 0.6761962890625}, {"start": 157.9, "end": 159.02, "word": " البرامترية", "probability": 0.6453450520833334}, {"start": 159.02, "end": 159.68, "word": " لهذا", "probability": 0.72509765625}, {"start": 159.68, "end": 160.7, "word": " المنحنى", "probability": 0.89248046875}, {"start": 160.7, "end": 161.5, "word": " يبقى", "probability": 0.68951416015625}, {"start": 161.5, "end": 162.24, "word": " المعادلات", "probability": 0.67205810546875}, {"start": 162.24, "end": 163.6, "word": " البرامترية", "probability": 0.9312337239583334}, {"start": 163.6, "end": 163.96, "word": " لهذا", "probability": 0.97216796875}, {"start": 163.96, "end": 164.68, "word": " المنحنى", "probability": 0.9857421875}, {"start": 164.68, "end": 165.36, "word": " وT", "probability": 0.34234619140625}, {"start": 165.36, "end": 166.04, "word": " بسميه", "probability": 0.8043212890625}, {"start": 166.04, "end": 166.58, "word": " الوسيط", "probability": 0.9556884765625}, {"start": 166.58, "end": 166.84, "word": " او", "probability": 0.700927734375}, {"start": 166.84, "end": 167.0, "word": " ال", "probability": 0.83984375}, {"start": 167.0, "end": 167.52, "word": " parameter", "probability": 0.8076171875}, {"start": 167.52, "end": 168.44, "word": " لهذا", "probability": 0.986572265625}, {"start": 168.44, "end": 169.66, "word": " المنحنى", "probability": 0.99150390625}, {"start": 169.66, "end": 170.44, "word": " على", "probability": 0.60498046875}, {"start": 170.44, "end": 170.64, "word": " اي", "probability": 0.853271484375}, {"start": 170.64, "end": 171.04, "word": " حال", "probability": 0.99462890625}, {"start": 171.04, "end": 171.2, "word": " لو", "probability": 0.76318359375}, {"start": 171.2, "end": 171.5, "word": " عندي", "probability": 0.73486328125}, {"start": 171.5, "end": 171.94, "word": " منحنى", "probability": 0.98583984375}, {"start": 171.94, "end": 172.06, "word": " في", "probability": 0.65283203125}, {"start": 172.06, "end": 172.44, "word": " الصيغة", "probability": 0.939208984375}, {"start": 172.44, "end": 173.5, "word": " الكارتيزية", "probability": 0.8861328125}, {"start": 173.5, "end": 173.9, "word": " و", "probability": 0.86962890625}, {"start": 173.9, "end": 174.28, "word": " بدى", "probability": 0.435546875}, {"start": 174.28, "end": 174.74, "word": " اكتبه", "probability": 0.965625}, {"start": 174.74, "end": 174.9, "word": " على", "probability": 0.85009765625}, {"start": 174.9, "end": 175.32, "word": " الصيغة", "probability": 0.976806640625}, {"start": 175.32, "end": 176.06, "word": " البرامترية", "probability": 0.9715983072916666}, {"start": 176.06, "end": 176.62, "word": " يمكن", "probability": 0.97509765625}, {"start": 176.62, "end": 177.4, "word": " كتابته", "probability": 0.9268798828125}, {"start": 177.4, "end": 178.14, "word": " باكثر", "probability": 0.85205078125}, {"start": 178.14, "end": 178.42, "word": " من", "probability": 0.99267578125}, {"start": 178.42, "end": 179.08, "word": " طريقة", "probability": 0.9889322916666666}], "temperature": 1.0}, {"id": 9, "seek": 18771, "start": 179.51, "end": 187.71, "text": "يعني ليس بالضرورة تكون طريقة واحدة مافيش غيرها، يمكن نكتبه بطريقتين، يمكن بثلاثة، يمكن باربعة، إلى آخرين", "tokens": [40228, 22653, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 6055, 30544, 23032, 16572, 28671, 36764, 24401, 3660, 19446, 41185, 8592, 32771, 13546, 11296, 12399, 7251, 43020, 8717, 4117, 2655, 3555, 3224, 4724, 9566, 16572, 38149, 9957, 12399, 7251, 43020, 4724, 12984, 1211, 5718, 104, 3660, 12399, 7251, 43020, 4724, 9640, 3555, 27884, 12399, 30731, 19753, 34740, 9957], "avg_logprob": -0.16864224240697664, "compression_ratio": 1.5118110236220472, "no_speech_prob": 0.0, "words": [{"start": 179.51, "end": 179.95, "word": "يعني", "probability": 0.737548828125}, {"start": 179.95, "end": 180.39, "word": " ليس", "probability": 0.86083984375}, {"start": 180.39, "end": 181.47, "word": " بالضرورة", "probability": 0.86884765625}, {"start": 181.47, "end": 181.85, "word": " تكون", "probability": 0.95654296875}, {"start": 181.85, "end": 182.29, "word": " طريقة", "probability": 0.9650065104166666}, {"start": 182.29, "end": 182.77, "word": " واحدة", "probability": 0.8575846354166666}, {"start": 182.77, "end": 183.15, "word": " مافيش", "probability": 0.7648111979166666}, {"start": 183.15, "end": 183.49, "word": " غيرها،", "probability": 0.80950927734375}, {"start": 183.49, "end": 183.73, "word": " يمكن", "probability": 0.966552734375}, {"start": 183.73, "end": 184.21, "word": " نكتبه", "probability": 0.96474609375}, {"start": 184.21, "end": 185.11, "word": " بطريقتين،", "probability": 0.9656575520833334}, {"start": 185.11, "end": 185.31, "word": " يمكن", "probability": 0.972900390625}, {"start": 185.31, "end": 186.05, "word": " بثلاثة،", "probability": 0.8364606584821429}, {"start": 186.05, "end": 186.23, "word": " يمكن", "probability": 0.973876953125}, {"start": 186.23, "end": 186.89, "word": " باربعة،", "probability": 0.7888671875}, {"start": 186.89, "end": 187.11, "word": " إلى", "probability": 0.50048828125}, {"start": 187.11, "end": 187.71, "word": " آخرين", "probability": 0.7861328125}], "temperature": 1.0}, {"id": 10, "seek": 21579, "start": 188.15, "end": 215.79, "text": "رح نكتب هذا في الملاحظة التالية المنحنة المعطاة يمكن ان يمثل represented يعني يمثل by a different sets of parametric equations بمجموعة مختلفة من المعادلات ال parametricية شكلهم ماجربوش لبعض لكن لو حولتهم إلى صيغة كارتيزية بتطلع منهم نفس المعادلة إذا المعادلة الكارتيزية لها أكثر من شكل", "tokens": [2288, 5016, 8717, 4117, 2655, 3555, 23758, 8978, 9673, 15040, 5016, 19913, 3660, 16712, 6027, 10632, 9673, 1863, 5016, 1863, 3660, 9673, 3615, 9566, 995, 3660, 7251, 43020, 16472, 7251, 2304, 12984, 1211, 10379, 37495, 22653, 7251, 2304, 12984, 1211, 538, 257, 819, 6352, 295, 6220, 17475, 11787, 4724, 2304, 7435, 2304, 2407, 27884, 3714, 46456, 46538, 3660, 9154, 9673, 3615, 18513, 1211, 9307, 2423, 6220, 17475, 10632, 13412, 28820, 16095, 3714, 26108, 25513, 2407, 8592, 5296, 3555, 3615, 11242, 44381, 45164, 11331, 12610, 2655, 16095, 30731, 20328, 1829, 17082, 3660, 9122, 9640, 31371, 11622, 10632, 39894, 9566, 1211, 3615, 9154, 16095, 8717, 36178, 9673, 3615, 18513, 37977, 11933, 15730, 9673, 3615, 18513, 37977, 33251, 9640, 31371, 11622, 10632, 5296, 11296, 5551, 4117, 49115, 9154, 13412, 28820], "avg_logprob": -0.23449706938117743, "compression_ratio": 1.758490566037736, "no_speech_prob": 0.0, "words": [{"start": 188.15, "end": 188.49, "word": "رح", "probability": 0.4080352783203125}, {"start": 188.49, "end": 188.99, "word": " نكتب", "probability": 0.9219970703125}, {"start": 188.99, "end": 189.27, "word": " هذا", "probability": 0.736328125}, {"start": 189.27, "end": 189.45, "word": " في", "probability": 0.242919921875}, {"start": 189.45, "end": 190.15, "word": " الملاحظة", "probability": 0.97236328125}, {"start": 190.15, "end": 190.63, "word": " التالية", "probability": 0.99169921875}, {"start": 190.63, "end": 191.39, "word": " المنحنة", "probability": 0.79599609375}, {"start": 191.39, "end": 192.39, "word": " المعطاة", "probability": 0.71107177734375}, {"start": 192.39, "end": 193.09, "word": " يمكن", "probability": 0.8466796875}, {"start": 193.09, "end": 193.47, "word": " ان", "probability": 0.52880859375}, {"start": 193.47, "end": 194.09, "word": " يمثل", "probability": 0.943115234375}, {"start": 194.09, "end": 194.95, "word": " represented", "probability": 0.39697265625}, {"start": 194.95, "end": 195.99, "word": " يعني", "probability": 0.822998046875}, {"start": 195.99, "end": 196.85, "word": " يمثل", "probability": 0.972900390625}, {"start": 196.85, "end": 197.39, "word": " by", "probability": 0.485595703125}, {"start": 197.39, "end": 197.71, "word": " a", "probability": 0.765625}, {"start": 197.71, "end": 198.25, "word": " different", "probability": 0.9248046875}, {"start": 198.25, "end": 198.75, "word": " sets", "probability": 0.461181640625}, {"start": 198.75, "end": 199.07, "word": " of", "probability": 0.95361328125}, {"start": 199.07, "end": 199.73, "word": " parametric", "probability": 0.87890625}, {"start": 199.73, "end": 200.35, "word": " equations", "probability": 0.892578125}, {"start": 200.35, "end": 201.71, "word": " بمجموعة", "probability": 0.9193522135416666}, {"start": 201.71, "end": 202.39, "word": " مختلفة", "probability": 0.987548828125}, {"start": 202.39, "end": 202.57, "word": " من", "probability": 0.98681640625}, {"start": 202.57, "end": 203.67, "word": " المعادلات", "probability": 0.92900390625}, {"start": 203.67, "end": 204.03, "word": " ال", "probability": 0.8349609375}, {"start": 204.03, "end": 204.91, "word": " parametricية", "probability": 0.417724609375}, {"start": 204.91, "end": 205.35, "word": " شكلهم", "probability": 0.890625}, {"start": 205.35, "end": 205.89, "word": " ماجربوش", "probability": 0.66995849609375}, {"start": 205.89, "end": 206.41, "word": " لبعض", "probability": 0.9595947265625}, {"start": 206.41, "end": 207.05, "word": " لكن", "probability": 0.6767578125}, {"start": 207.05, "end": 207.37, "word": " لو", "probability": 0.2371826171875}, {"start": 207.37, "end": 208.03, "word": " حولتهم", "probability": 0.8348388671875}, {"start": 208.03, "end": 208.19, "word": " إلى", "probability": 0.382568359375}, {"start": 208.19, "end": 208.59, "word": " صيغة", "probability": 0.9619140625}, {"start": 208.59, "end": 209.25, "word": " كارتيزية", "probability": 0.86884765625}, {"start": 209.25, "end": 209.71, "word": " بتطلع", "probability": 0.83209228515625}, {"start": 209.71, "end": 210.17, "word": " منهم", "probability": 0.8232421875}, {"start": 210.17, "end": 210.99, "word": " نفس", "probability": 0.981689453125}, {"start": 210.99, "end": 211.77, "word": " المعادلة", "probability": 0.990966796875}, {"start": 211.77, "end": 211.99, "word": " إذا", "probability": 0.72119140625}, {"start": 211.99, "end": 212.71, "word": " المعادلة", "probability": 0.986328125}, {"start": 212.71, "end": 213.67, "word": " الكارتيزية", "probability": 0.95029296875}, {"start": 213.67, "end": 214.13, "word": " لها", "probability": 0.970947265625}, {"start": 214.13, "end": 214.91, "word": " أكثر", "probability": 0.83740234375}, {"start": 214.91, "end": 215.23, "word": " من", "probability": 0.9931640625}, {"start": 215.23, "end": 215.79, "word": " شكل", "probability": 0.982177734375}], "temperature": 1.0}, {"id": 11, "seek": 24436, "start": 215.96, "end": 244.36, "text": "في الصيغة البرامترية نبدأ نعطي أمثلة ونشوف كيف بدنا نشتغل في هذا ال section بيقول لي المعادلات التالية بتصف حركة جسم في ال XY plane لو أخدت محور الصينة ومحور الصدات او محور X ومحور Y يبقى بالمحورين في المستوى تمام؟ في جسم يتحرك في هذا المستوى بيقول ليش؟", "tokens": [41185, 31767, 1829, 17082, 3660, 2423, 26890, 10943, 2655, 2288, 10632, 8717, 44510, 10721, 8717, 3615, 9566, 1829, 5551, 2304, 12984, 37977, 4032, 1863, 8592, 38688, 9122, 33911, 47525, 8315, 8717, 8592, 2655, 17082, 1211, 8978, 23758, 2423, 3541, 4724, 1829, 39648, 32239, 9673, 3615, 18513, 1211, 9307, 16712, 6027, 10632, 39894, 9381, 5172, 11331, 31747, 3660, 10874, 38251, 8978, 2423, 48826, 5720, 45164, 5551, 9778, 3215, 2655, 3714, 5016, 13063, 31767, 9957, 3660, 4032, 2304, 5016, 13063, 31767, 3215, 9307, 1975, 2407, 3714, 5016, 13063, 1783, 4032, 2304, 5016, 13063, 398, 7251, 3555, 4587, 7578, 20666, 2304, 5016, 13063, 9957, 8978, 9673, 14851, 2407, 7578, 46811, 10943, 22807, 8978, 10874, 38251, 7251, 2655, 5016, 31747, 8978, 23758, 9673, 14851, 2407, 7578, 4724, 1829, 39648, 32239, 8592, 22807], "avg_logprob": -0.1527374031007752, "compression_ratio": 1.8888888888888888, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 215.96, "end": 216.26, "word": "في", "probability": 0.3798828125}, {"start": 216.26, "end": 217.02, "word": " الصيغة", "probability": 0.9169921875}, {"start": 217.02, "end": 218.32, "word": " البرامترية", "probability": 0.8157145182291666}, {"start": 218.32, "end": 219.42, "word": " نبدأ", "probability": 0.8605143229166666}, {"start": 219.42, "end": 219.78, "word": " نعطي", "probability": 0.9615478515625}, {"start": 219.78, "end": 220.24, "word": " أمثلة", "probability": 0.937255859375}, {"start": 220.24, "end": 220.74, "word": " ونشوف", "probability": 0.79644775390625}, {"start": 220.74, "end": 221.16, "word": " كيف", "probability": 0.979248046875}, {"start": 221.16, "end": 221.48, "word": " بدنا", "probability": 0.71484375}, {"start": 221.48, "end": 221.92, "word": " نشتغل", "probability": 0.98896484375}, {"start": 221.92, "end": 222.06, "word": " في", "probability": 0.92529296875}, {"start": 222.06, "end": 222.46, "word": " هذا", "probability": 0.6787109375}, {"start": 222.46, "end": 222.64, "word": " ال", "probability": 0.64892578125}, {"start": 222.64, "end": 223.02, "word": " section", "probability": 0.75732421875}, {"start": 223.02, "end": 224.36, "word": " بيقول", "probability": 0.8629557291666666}, {"start": 224.36, "end": 224.54, "word": " لي", "probability": 0.412353515625}, {"start": 224.54, "end": 225.92, "word": " المعادلات", "probability": 0.9544921875}, {"start": 225.92, "end": 226.42, "word": " التالية", "probability": 0.9938151041666666}, {"start": 226.42, "end": 227.06, "word": " بتصف", "probability": 0.8761393229166666}, {"start": 227.06, "end": 227.74, "word": " حركة", "probability": 0.9773763020833334}, {"start": 227.74, "end": 228.16, "word": " جسم", "probability": 0.65673828125}, {"start": 228.16, "end": 228.52, "word": " في", "probability": 0.86669921875}, {"start": 228.52, "end": 228.66, "word": " ال", "probability": 0.92626953125}, {"start": 228.66, "end": 229.12, "word": " XY", "probability": 0.41796875}, {"start": 229.12, "end": 229.7, "word": " plane", "probability": 0.60693359375}, {"start": 229.7, "end": 230.66, "word": " لو", "probability": 0.94140625}, {"start": 230.66, "end": 231.38, "word": " أخدت", "probability": 0.954345703125}, {"start": 231.38, "end": 231.72, "word": " محور", "probability": 0.9892578125}, {"start": 231.72, "end": 232.28, "word": " الصينة", "probability": 0.6638997395833334}, {"start": 232.28, "end": 232.72, "word": " ومحور", "probability": 0.9471435546875}, {"start": 232.72, "end": 233.38, "word": " الصدات", "probability": 0.7389322916666666}, {"start": 233.38, "end": 233.56, "word": " او", "probability": 0.789306640625}, {"start": 233.56, "end": 233.9, "word": " محور", "probability": 0.9718424479166666}, {"start": 233.9, "end": 234.14, "word": " X", "probability": 0.951171875}, {"start": 234.14, "end": 234.68, "word": " ومحور", "probability": 0.9571533203125}, {"start": 234.68, "end": 235.04, "word": " Y", "probability": 0.99658203125}, {"start": 235.04, "end": 235.7, "word": " يبقى", "probability": 0.96484375}, {"start": 235.7, "end": 236.56, "word": " بالمحورين", "probability": 0.886181640625}, {"start": 236.56, "end": 237.26, "word": " في", "probability": 0.80859375}, {"start": 237.26, "end": 238.64, "word": " المستوى", "probability": 0.9775390625}, {"start": 238.64, "end": 239.9, "word": " تمام؟", "probability": 0.64990234375}, {"start": 239.9, "end": 240.18, "word": " في", "probability": 0.81396484375}, {"start": 240.18, "end": 240.8, "word": " جسم", "probability": 0.96875}, {"start": 240.8, "end": 241.64, "word": " يتحرك", "probability": 0.99462890625}, {"start": 241.64, "end": 241.84, "word": " في", "probability": 0.97998046875}, {"start": 241.84, "end": 242.22, "word": " هذا", "probability": 0.9736328125}, {"start": 242.22, "end": 242.96, "word": " المستوى", "probability": 0.98681640625}, {"start": 242.96, "end": 243.8, "word": " بيقول", "probability": 0.87158203125}, {"start": 243.8, "end": 244.36, "word": " ليش؟", "probability": 0.8502604166666666}], "temperature": 1.0}, {"id": 12, "seek": 27007, "start": 244.67, "end": 270.07, "text": "identify the particles path بدك تحددلي مصار الجثيم هذا ايه يعني مصار الجثيم يعني المنحنة اللي بيعمل الجثيم اتناء حركته هل هو خط مستقيم، هل هو انفس، هل هو برابولة، هاي برابولة، منحنة way to say واحد عليكس، اي المنحنات، من هالمنحنات اللي انت بتعرفها", "tokens": [1078, 2505, 264, 10007, 3100, 4724, 3215, 4117, 6055, 24401, 3215, 20292, 3714, 9381, 9640, 25724, 12984, 32640, 23758, 1975, 1829, 3224, 37495, 22653, 3714, 9381, 9640, 25724, 12984, 32640, 37495, 22653, 9673, 1863, 5016, 1863, 3660, 13672, 1829, 4724, 1829, 25957, 1211, 25724, 12984, 32640, 1975, 2655, 1863, 16606, 11331, 31747, 47395, 8032, 1211, 31439, 16490, 9566, 3714, 14851, 4587, 32640, 12399, 8032, 1211, 31439, 16472, 36178, 12399, 8032, 1211, 31439, 4724, 2288, 16758, 12610, 3660, 12399, 8032, 47302, 4724, 2288, 16758, 12610, 3660, 12399, 9154, 5016, 1863, 3660, 636, 281, 584, 36764, 24401, 25894, 4117, 3794, 12399, 1975, 1829, 9673, 1863, 5016, 8315, 2655, 12399, 9154, 8032, 6027, 27842, 5016, 8315, 2655, 13672, 1829, 16472, 2655, 39894, 3615, 28480, 11296], "avg_logprob": -0.2611788608194367, "compression_ratio": 1.9351851851851851, "no_speech_prob": 0.0, "words": [{"start": 244.67, "end": 245.91, "word": "identify", "probability": 0.69091796875}, {"start": 245.91, "end": 246.13, "word": " the", "probability": 0.81494140625}, {"start": 246.13, "end": 246.83, "word": " particles", "probability": 0.771484375}, {"start": 246.83, "end": 247.41, "word": " path", "probability": 0.90283203125}, {"start": 247.41, "end": 247.77, "word": " بدك", "probability": 0.4364420572916667}, {"start": 247.77, "end": 248.85, "word": " تحددلي", "probability": 0.7847900390625}, {"start": 248.85, "end": 249.73, "word": " مصار", "probability": 0.7452799479166666}, {"start": 249.73, "end": 250.57, "word": " الجثيم", "probability": 0.7289225260416666}, {"start": 250.57, "end": 250.93, "word": " هذا", "probability": 0.81787109375}, {"start": 250.93, "end": 251.63, "word": " ايه", "probability": 0.7029622395833334}, {"start": 251.63, "end": 251.89, "word": " يعني", "probability": 0.794189453125}, {"start": 251.89, "end": 252.33, "word": " مصار", "probability": 0.9736328125}, {"start": 252.33, "end": 252.89, "word": " الجثيم", "probability": 0.9851888020833334}, {"start": 252.89, "end": 253.63, "word": " يعني", "probability": 0.731201171875}, {"start": 253.63, "end": 254.45, "word": " المنحنة", "probability": 0.916796875}, {"start": 254.45, "end": 254.65, "word": " اللي", "probability": 0.774658203125}, {"start": 254.65, "end": 255.23, "word": " بيعمل", "probability": 0.9742431640625}, {"start": 255.23, "end": 255.87, "word": " الجثيم", "probability": 0.923828125}, {"start": 255.87, "end": 256.43, "word": " اتناء", "probability": 0.77142333984375}, {"start": 256.43, "end": 257.15, "word": " حركته", "probability": 0.984375}, {"start": 257.15, "end": 257.71, "word": " هل", "probability": 0.91748046875}, {"start": 257.71, "end": 257.89, "word": " هو", "probability": 0.96484375}, {"start": 257.89, "end": 258.25, "word": " خط", "probability": 0.995361328125}, {"start": 258.25, "end": 259.57, "word": " مستقيم،", "probability": 0.82431640625}, {"start": 259.57, "end": 259.81, "word": " هل", "probability": 0.89208984375}, {"start": 259.81, "end": 260.05, "word": " هو", "probability": 0.974609375}, {"start": 260.05, "end": 260.73, "word": " انفس،", "probability": 0.4971923828125}, {"start": 260.73, "end": 260.91, "word": " هل", "probability": 0.93603515625}, {"start": 260.91, "end": 261.13, "word": " هو", "probability": 0.98046875}, {"start": 261.13, "end": 262.03, "word": " برابولة،", "probability": 0.7442220052083334}, {"start": 262.03, "end": 262.29, "word": " هاي", "probability": 0.5811767578125}, {"start": 262.29, "end": 263.43, "word": " برابولة،", "probability": 0.9334309895833334}, {"start": 263.43, "end": 263.95, "word": " منحنة", "probability": 0.893798828125}, {"start": 263.95, "end": 264.09, "word": " way", "probability": 0.2451171875}, {"start": 264.09, "end": 264.27, "word": " to", "probability": 0.888671875}, {"start": 264.27, "end": 264.57, "word": " say", "probability": 0.84765625}, {"start": 264.57, "end": 265.01, "word": " واحد", "probability": 0.913330078125}, {"start": 265.01, "end": 265.59, "word": " عليكس،", "probability": 0.6256103515625}, {"start": 265.59, "end": 265.95, "word": " اي", "probability": 0.850341796875}, {"start": 265.95, "end": 266.99, "word": " المنحنات،", "probability": 0.7329915364583334}, {"start": 266.99, "end": 267.11, "word": " من", "probability": 0.974609375}, {"start": 267.11, "end": 268.11, "word": " هالمنحنات", "probability": 0.8475341796875}, {"start": 268.11, "end": 268.75, "word": " اللي", "probability": 0.939697265625}, {"start": 268.75, "end": 269.09, "word": " انت", "probability": 0.74560546875}, {"start": 269.09, "end": 270.07, "word": " بتعرفها", "probability": 0.98974609375}], "temperature": 1.0}, {"id": 13, "seek": 29312, "start": 270.42, "end": 293.12, "text": "ما دام عرفته هاتله ال kartesian equation وروح ارسملي ال kartesian equation منشان نعرف ما هو الشكل هذا المنحنى تلاتة بيين لاتجاه الحركة طالعة نازلة مع قرب الساعة ضد عقرب الساعة لليمين للشمال إلى أعلى إلى أسفل كل هذا بدك تحدده ليه و تبينه ليه", "tokens": [15042, 11778, 10943, 6225, 28480, 47395, 8032, 9307, 43761, 2423, 29120, 42434, 5367, 4032, 32887, 5016, 1975, 2288, 38251, 20292, 2423, 29120, 42434, 5367, 9154, 8592, 7649, 8717, 3615, 28480, 19446, 31439, 25124, 28820, 23758, 9673, 1863, 5016, 1863, 7578, 6055, 1211, 9307, 3660, 4724, 1829, 9957, 5296, 9307, 7435, 40294, 21542, 31747, 3660, 23032, 6027, 27884, 8717, 31377, 37977, 20449, 12174, 25513, 21136, 995, 27884, 48812, 3215, 6225, 4587, 25513, 21136, 995, 27884, 24976, 32640, 9957, 24976, 8592, 2304, 6027, 30731, 5551, 3615, 23942, 30731, 5551, 3794, 5172, 1211, 28242, 23758, 47525, 4117, 6055, 24401, 3215, 3224, 32239, 3224, 4032, 6055, 3555, 9957, 3224, 32239, 3224], "avg_logprob": -0.2562210535009702, "compression_ratio": 1.8356164383561644, "no_speech_prob": 0.0, "words": [{"start": 270.42, "end": 271.94, "word": "ما", "probability": 0.1265869140625}, {"start": 271.94, "end": 272.26, "word": " دام", "probability": 0.576416015625}, {"start": 272.26, "end": 272.92, "word": " عرفته", "probability": 0.9168294270833334}, {"start": 272.92, "end": 273.58, "word": " هاتله", "probability": 0.5634765625}, {"start": 273.58, "end": 273.72, "word": " ال", "probability": 0.70263671875}, {"start": 273.72, "end": 274.26, "word": " kartesian", "probability": 0.4420166015625}, {"start": 274.26, "end": 274.76, "word": " equation", "probability": 0.96044921875}, {"start": 274.76, "end": 275.28, "word": " وروح", "probability": 0.77392578125}, {"start": 275.28, "end": 276.08, "word": " ارسملي", "probability": 0.82763671875}, {"start": 276.08, "end": 276.6, "word": " ال", "probability": 0.372314453125}, {"start": 276.6, "end": 277.2, "word": " kartesian", "probability": 0.943603515625}, {"start": 277.2, "end": 277.76, "word": " equation", "probability": 0.98828125}, {"start": 277.76, "end": 278.24, "word": " منشان", "probability": 0.62939453125}, {"start": 278.24, "end": 278.66, "word": " نعرف", "probability": 0.9391276041666666}, {"start": 278.66, "end": 278.8, "word": " ما", "probability": 0.7841796875}, {"start": 278.8, "end": 279.04, "word": " هو", "probability": 0.6416015625}, {"start": 279.04, "end": 279.52, "word": " الشكل", "probability": 0.89990234375}, {"start": 279.52, "end": 279.94, "word": " هذا", "probability": 0.8955078125}, {"start": 279.94, "end": 280.72, "word": " المنحنى", "probability": 0.847265625}, {"start": 280.72, "end": 281.6, "word": " تلاتة", "probability": 0.785400390625}, {"start": 281.6, "end": 282.0, "word": " بيين", "probability": 0.70556640625}, {"start": 282.0, "end": 282.64, "word": " لاتجاه", "probability": 0.79571533203125}, {"start": 282.64, "end": 283.3, "word": " الحركة", "probability": 0.98388671875}, {"start": 283.3, "end": 284.02, "word": " طالعة", "probability": 0.8245442708333334}, {"start": 284.02, "end": 284.7, "word": " نازلة", "probability": 0.8987630208333334}, {"start": 284.7, "end": 284.9, "word": " مع", "probability": 0.90234375}, {"start": 284.9, "end": 285.26, "word": " قرب", "probability": 0.9248046875}, {"start": 285.26, "end": 285.84, "word": " الساعة", "probability": 0.98876953125}, {"start": 285.84, "end": 286.48, "word": " ضد", "probability": 0.86376953125}, {"start": 286.48, "end": 286.92, "word": " عقرب", "probability": 0.7857259114583334}, {"start": 286.92, "end": 287.48, "word": " الساعة", "probability": 0.9930013020833334}, {"start": 287.48, "end": 288.12, "word": " لليمين", "probability": 0.7460123697916666}, {"start": 288.12, "end": 288.88, "word": " للشمال", "probability": 0.910400390625}, {"start": 288.88, "end": 289.16, "word": " إلى", "probability": 0.328125}, {"start": 289.16, "end": 289.48, "word": " أعلى", "probability": 0.92333984375}, {"start": 289.48, "end": 289.66, "word": " إلى", "probability": 0.888671875}, {"start": 289.66, "end": 290.18, "word": " أسفل", "probability": 0.9766845703125}, {"start": 290.18, "end": 290.68, "word": " كل", "probability": 0.7861328125}, {"start": 290.68, "end": 291.0, "word": " هذا", "probability": 0.7138671875}, {"start": 291.0, "end": 291.32, "word": " بدك", "probability": 0.81689453125}, {"start": 291.32, "end": 291.9, "word": " تحدده", "probability": 0.85107421875}, {"start": 291.9, "end": 292.24, "word": " ليه", "probability": 0.6688232421875}, {"start": 292.24, "end": 292.38, "word": " و", "probability": 0.60302734375}, {"start": 292.38, "end": 292.86, "word": " تبينه", "probability": 0.8731689453125}, {"start": 292.86, "end": 293.12, "word": " ليه", "probability": 0.979248046875}], "temperature": 1.0}, {"id": 14, "seek": 30531, "start": 293.37, "end": 305.31, "text": "الان فينا مجموعة من الأمثلة عالمين على هذه المطاليب التلاتة اول مثال بيقول لو كان x يساوي cos t و y يساوي sin t", "tokens": [6027, 7649, 8978, 8315, 3714, 7435, 2304, 2407, 27884, 9154, 16247, 2304, 12984, 37977, 6225, 45340, 9957, 15844, 29538, 9673, 9566, 6027, 1829, 3555, 16712, 1211, 9307, 3660, 1975, 12610, 50113, 6027, 4724, 1829, 39648, 45164, 25961, 2031, 7251, 3794, 995, 45865, 3792, 256, 4032, 288, 7251, 3794, 995, 45865, 3343, 256], "avg_logprob": -0.23378537735849056, "compression_ratio": 1.4427480916030535, "no_speech_prob": 0.0, "words": [{"start": 293.37, "end": 293.87, "word": "الان", "probability": 0.674560546875}, {"start": 293.87, "end": 294.25, "word": " فينا", "probability": 0.4818115234375}, {"start": 294.25, "end": 294.91, "word": " مجموعة", "probability": 0.9326171875}, {"start": 294.91, "end": 295.17, "word": " من", "probability": 0.97265625}, {"start": 295.17, "end": 296.13, "word": " الأمثلة", "probability": 0.94091796875}, {"start": 296.13, "end": 297.43, "word": " عالمين", "probability": 0.6119791666666666}, {"start": 297.43, "end": 297.93, "word": " على", "probability": 0.8369140625}, {"start": 297.93, "end": 298.35, "word": " هذه", "probability": 0.9541015625}, {"start": 298.35, "end": 299.07, "word": " المطاليب", "probability": 0.9458984375}, {"start": 299.07, "end": 299.79, "word": " التلاتة", "probability": 0.95703125}, {"start": 299.79, "end": 300.57, "word": " اول", "probability": 0.76123046875}, {"start": 300.57, "end": 300.93, "word": " مثال", "probability": 0.90966796875}, {"start": 300.93, "end": 301.23, "word": " بيقول", "probability": 0.8917643229166666}, {"start": 301.23, "end": 301.47, "word": " لو", "probability": 0.81787109375}, {"start": 301.47, "end": 301.83, "word": " كان", "probability": 0.96826171875}, {"start": 301.83, "end": 302.15, "word": " x", "probability": 0.436767578125}, {"start": 302.15, "end": 302.69, "word": " يساوي", "probability": 0.6766357421875}, {"start": 302.69, "end": 303.07, "word": " cos", "probability": 0.242919921875}, {"start": 303.07, "end": 303.59, "word": " t", "probability": 0.30712890625}, {"start": 303.59, "end": 303.77, "word": " و", "probability": 0.958984375}, {"start": 303.77, "end": 304.01, "word": " y", "probability": 0.5341796875}, {"start": 304.01, "end": 304.51, "word": " يساوي", "probability": 0.8831787109375}, {"start": 304.51, "end": 304.91, "word": " sin", "probability": 0.9384765625}, {"start": 304.91, "end": 305.31, "word": " t", "probability": 0.912109375}], "temperature": 1.0}, {"id": 15, "seek": 32597, "start": 305.69, "end": 325.97, "text": "و T حصرناها فقط من Zero لغاية Pi قال لي على هذا المنحناة بدنا نجيب المطاليب التلاتة هذه قال لي اتفقدي ال particles first شوفي المسار تبع الجسم هذا عبارة عن ايش بقول له ايه؟ بده اجيب المعادلاتين ال parameterيتين لاتنين هدول", "tokens": [2407, 314, 11331, 9381, 2288, 8315, 11296, 6156, 47432, 9154, 17182, 5296, 17082, 995, 10632, 17741, 50239, 32239, 15844, 23758, 9673, 1863, 5016, 8315, 3660, 47525, 8315, 8717, 7435, 1829, 3555, 9673, 9566, 6027, 1829, 3555, 16712, 1211, 9307, 3660, 29538, 50239, 32239, 1975, 2655, 5172, 28543, 1829, 2423, 10007, 700, 13412, 38688, 1829, 9673, 3794, 9640, 6055, 3555, 3615, 2423, 7435, 38251, 23758, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 8592, 4724, 39648, 46740, 1975, 1829, 3224, 22807, 47525, 3224, 1975, 7435, 1829, 3555, 9673, 3615, 18513, 1211, 9307, 9957, 2423, 13075, 36081, 9957, 5296, 9307, 1863, 9957, 8032, 3215, 12610], "avg_logprob": -0.3704490430146745, "compression_ratio": 1.7268518518518519, "no_speech_prob": 0.0, "words": [{"start": 305.69, "end": 305.99, "word": "و", "probability": 0.1689453125}, {"start": 305.99, "end": 306.21, "word": " T", "probability": 0.293212890625}, {"start": 306.21, "end": 307.49, "word": " حصرناها", "probability": 0.89404296875}, {"start": 307.49, "end": 308.07, "word": " فقط", "probability": 0.927978515625}, {"start": 308.07, "end": 308.71, "word": " من", "probability": 0.935546875}, {"start": 308.71, "end": 309.23, "word": " Zero", "probability": 0.40283203125}, {"start": 309.23, "end": 310.05, "word": " لغاية", "probability": 0.980224609375}, {"start": 310.05, "end": 310.43, "word": " Pi", "probability": 0.260986328125}, {"start": 310.43, "end": 311.25, "word": " قال", "probability": 0.64697265625}, {"start": 311.25, "end": 311.37, "word": " لي", "probability": 0.55078125}, {"start": 311.37, "end": 311.55, "word": " على", "probability": 0.493896484375}, {"start": 311.55, "end": 311.87, "word": " هذا", "probability": 0.63330078125}, {"start": 311.87, "end": 312.71, "word": " المنحناة", "probability": 0.74111328125}, {"start": 312.71, "end": 313.03, "word": " بدنا", "probability": 0.697998046875}, {"start": 313.03, "end": 313.37, "word": " نجيب", "probability": 0.9840087890625}, {"start": 313.37, "end": 314.03, "word": " المطاليب", "probability": 0.9259765625}, {"start": 314.03, "end": 314.67, "word": " التلاتة", "probability": 0.899169921875}, {"start": 314.67, "end": 314.95, "word": " هذه", "probability": 0.56005859375}, {"start": 314.95, "end": 315.63, "word": " قال", "probability": 0.783203125}, {"start": 315.63, "end": 315.73, "word": " لي", "probability": 0.57373046875}, {"start": 315.73, "end": 316.35, "word": " اتفقدي", "probability": 0.4522216796875}, {"start": 316.35, "end": 316.53, "word": " ال", "probability": 0.3349609375}, {"start": 316.53, "end": 317.03, "word": " particles", "probability": 0.501953125}, {"start": 317.03, "end": 317.51, "word": " first", "probability": 0.1651611328125}, {"start": 317.51, "end": 318.05, "word": " شوفي", "probability": 0.675048828125}, {"start": 318.05, "end": 318.85, "word": " المسار", "probability": 0.6521809895833334}, {"start": 318.85, "end": 319.21, "word": " تبع", "probability": 0.7483723958333334}, {"start": 319.21, "end": 319.61, "word": " الجسم", "probability": 0.7122395833333334}, {"start": 319.61, "end": 319.91, "word": " هذا", "probability": 0.67236328125}, {"start": 319.91, "end": 320.27, "word": " عبارة", "probability": 0.981689453125}, {"start": 320.27, "end": 320.47, "word": " عن", "probability": 0.99365234375}, {"start": 320.47, "end": 320.71, "word": " ايش", "probability": 0.7861328125}, {"start": 320.71, "end": 321.69, "word": " بقول", "probability": 0.817626953125}, {"start": 321.69, "end": 321.83, "word": " له", "probability": 0.55517578125}, {"start": 321.83, "end": 322.07, "word": " ايه؟", "probability": 0.70172119140625}, {"start": 322.07, "end": 322.49, "word": " بده", "probability": 0.443115234375}, {"start": 322.49, "end": 322.69, "word": " اجيب", "probability": 0.9515380859375}, {"start": 322.69, "end": 323.61, "word": " المعادلاتين", "probability": 0.8585611979166666}, {"start": 323.61, "end": 323.77, "word": " ال", "probability": 0.306396484375}, {"start": 323.77, "end": 324.81, "word": " parameterيتين", "probability": 0.7279459635416666}, {"start": 324.81, "end": 325.47, "word": " لاتنين", "probability": 0.734130859375}, {"start": 325.47, "end": 325.97, "word": " هدول", "probability": 0.8312174479166666}], "temperature": 1.0}, {"id": 16, "seek": 34603, "start": 326.29, "end": 346.03, "text": "أضيع T بين X وY واخد المعادلة بدل X وY وبتالي بعرف مسار اليسام هذا السؤال هو كيف بدي أضيع T بين الأثنين هذين طبعا بأكثر من طريقة في طريقة أتعلمناها في calculus B", "tokens": [10721, 11242, 40228, 314, 49374, 1783, 4032, 56, 4032, 47283, 3215, 9673, 3615, 18513, 37977, 47525, 1211, 1783, 4032, 56, 46599, 2655, 6027, 1829, 45030, 28480, 47524, 9640, 45595, 3794, 10943, 23758, 21136, 33604, 6027, 31439, 9122, 33911, 4724, 16254, 5551, 11242, 40228, 314, 49374, 16247, 12984, 1863, 9957, 8032, 8848, 9957, 23032, 3555, 3615, 995, 4724, 10721, 4117, 49115, 9154, 23032, 16572, 28671, 8978, 23032, 16572, 28671, 5551, 2655, 3615, 19528, 8315, 11296, 8978, 33400, 363], "avg_logprob": -0.2698317445241488, "compression_ratio": 1.621301775147929, "no_speech_prob": 0.0, "words": [{"start": 326.29, "end": 327.31, "word": "أضيع", "probability": 0.670166015625}, {"start": 327.31, "end": 327.71, "word": " T", "probability": 0.464599609375}, {"start": 327.71, "end": 328.07, "word": " بين", "probability": 0.67333984375}, {"start": 328.07, "end": 328.47, "word": " X", "probability": 0.970703125}, {"start": 328.47, "end": 328.81, "word": " وY", "probability": 0.73486328125}, {"start": 328.81, "end": 329.31, "word": " واخد", "probability": 0.499755859375}, {"start": 329.31, "end": 329.95, "word": " المعادلة", "probability": 0.935302734375}, {"start": 329.95, "end": 330.25, "word": " بدل", "probability": 0.733154296875}, {"start": 330.25, "end": 330.63, "word": " X", "probability": 0.5869140625}, {"start": 330.63, "end": 331.11, "word": " وY", "probability": 0.9423828125}, {"start": 331.11, "end": 332.15, "word": " وبتالي", "probability": 0.70367431640625}, {"start": 332.15, "end": 332.65, "word": " بعرف", "probability": 0.7176513671875}, {"start": 332.65, "end": 333.53, "word": " مسار", "probability": 0.9609375}, {"start": 333.53, "end": 334.39, "word": " اليسام", "probability": 0.5747884114583334}, {"start": 334.39, "end": 334.71, "word": " هذا", "probability": 0.7392578125}, {"start": 334.71, "end": 335.77, "word": " السؤال", "probability": 0.982421875}, {"start": 335.77, "end": 336.01, "word": " هو", "probability": 0.927734375}, {"start": 336.01, "end": 336.65, "word": " كيف", "probability": 0.967041015625}, {"start": 336.65, "end": 337.05, "word": " بدي", "probability": 0.7176513671875}, {"start": 337.05, "end": 337.91, "word": " أضيع", "probability": 0.9148763020833334}, {"start": 337.91, "end": 338.49, "word": " T", "probability": 0.9541015625}, {"start": 338.49, "end": 338.75, "word": " بين", "probability": 0.79052734375}, {"start": 338.75, "end": 339.65, "word": " الأثنين", "probability": 0.7630615234375}, {"start": 339.65, "end": 340.19, "word": " هذين", "probability": 0.7140299479166666}, {"start": 340.19, "end": 341.65, "word": " طبعا", "probability": 0.8836669921875}, {"start": 341.65, "end": 342.15, "word": " بأكثر", "probability": 0.8759765625}, {"start": 342.15, "end": 342.35, "word": " من", "probability": 0.99658203125}, {"start": 342.35, "end": 342.91, "word": " طريقة", "probability": 0.9886067708333334}, {"start": 342.91, "end": 343.69, "word": " في", "probability": 0.6259765625}, {"start": 343.69, "end": 344.19, "word": " طريقة", "probability": 0.9842122395833334}, {"start": 344.19, "end": 344.89, "word": " أتعلمناها", "probability": 0.8690592447916666}, {"start": 344.89, "end": 345.09, "word": " في", "probability": 0.95947265625}, {"start": 345.09, "end": 345.51, "word": " calculus", "probability": 0.8798828125}, {"start": 345.51, "end": 346.03, "word": " B", "probability": 0.35302734375}], "temperature": 1.0}, {"id": 17, "seek": 37128, "start": 349.28, "end": 371.28, "text": "بقدر اقول له T تساوي cosine inverse X وشيل ال T هذي و احطها sine ل cosine inverse X مظبوط؟ و بعد ذلك هجيب sine ل cosine inverse X شو شكلها يعني اختصرها بال 3X وبالتالي بجيب المعادلة واحد اشتر منها شوية جالك و قوله شلق الكعب", "tokens": [3555, 28543, 2288, 1975, 39648, 46740, 314, 6055, 3794, 995, 45865, 23565, 17340, 1783, 4032, 8592, 26895, 2423, 314, 8032, 8848, 1829, 4032, 1975, 5016, 9566, 11296, 18609, 5296, 23565, 17340, 1783, 3714, 19913, 3555, 2407, 9566, 22807, 4032, 39182, 29910, 23275, 8032, 7435, 1829, 3555, 18609, 5296, 23565, 17340, 1783, 13412, 2407, 13412, 28820, 11296, 37495, 22653, 1975, 46456, 9381, 2288, 11296, 20666, 805, 55, 46599, 6027, 2655, 6027, 1829, 4724, 7435, 1829, 3555, 9673, 3615, 18513, 37977, 36764, 24401, 1975, 8592, 2655, 2288, 9154, 11296, 13412, 2407, 10632, 10874, 6027, 4117, 4032, 12174, 12610, 3224, 13412, 1211, 4587, 33251, 3615, 3555], "avg_logprob": -0.32512018714959806, "compression_ratio": 1.7044334975369457, "no_speech_prob": 0.0, "words": [{"start": 349.28, "end": 349.84, "word": "بقدر", "probability": 0.780029296875}, {"start": 349.84, "end": 350.22, "word": " اقول", "probability": 0.785888671875}, {"start": 350.22, "end": 350.42, "word": " له", "probability": 0.334228515625}, {"start": 350.42, "end": 350.62, "word": " T", "probability": 0.66650390625}, {"start": 350.62, "end": 351.22, "word": " تساوي", "probability": 0.5793609619140625}, {"start": 351.22, "end": 351.8, "word": " cosine", "probability": 0.411376953125}, {"start": 351.8, "end": 352.7, "word": " inverse", "probability": 0.90869140625}, {"start": 352.7, "end": 353.38, "word": " X", "probability": 0.88427734375}, {"start": 353.38, "end": 354.5, "word": " وشيل", "probability": 0.7547200520833334}, {"start": 354.5, "end": 354.74, "word": " ال", "probability": 0.5625}, {"start": 354.74, "end": 354.98, "word": " T", "probability": 0.86181640625}, {"start": 354.98, "end": 355.32, "word": " هذي", "probability": 0.525390625}, {"start": 355.32, "end": 355.44, "word": " و", "probability": 0.97607421875}, {"start": 355.44, "end": 355.92, "word": " احطها", "probability": 0.78070068359375}, {"start": 355.92, "end": 356.84, "word": " sine", "probability": 0.1943359375}, {"start": 356.84, "end": 357.1, "word": " ل", "probability": 0.8603515625}, {"start": 357.1, "end": 357.64, "word": " cosine", "probability": 0.8466796875}, {"start": 357.64, "end": 358.5, "word": " inverse", "probability": 0.86083984375}, {"start": 358.5, "end": 359.0, "word": " X", "probability": 0.98876953125}, {"start": 359.0, "end": 360.14, "word": " مظبوط؟", "probability": 0.7869466145833334}, {"start": 360.14, "end": 360.22, "word": " و", "probability": 0.5595703125}, {"start": 360.22, "end": 360.52, "word": " بعد", "probability": 0.845703125}, {"start": 360.52, "end": 360.72, "word": " ذلك", "probability": 0.52789306640625}, {"start": 360.72, "end": 361.06, "word": " هجيب", "probability": 0.902099609375}, {"start": 361.06, "end": 361.34, "word": " sine", "probability": 0.419921875}, {"start": 361.34, "end": 361.52, "word": " ل", "probability": 0.96240234375}, {"start": 361.52, "end": 361.88, "word": " cosine", "probability": 0.8974609375}, {"start": 361.88, "end": 362.22, "word": " inverse", "probability": 0.8515625}, {"start": 362.22, "end": 362.92, "word": " X", "probability": 0.986328125}, {"start": 362.92, "end": 363.68, "word": " شو", "probability": 0.880126953125}, {"start": 363.68, "end": 364.24, "word": " شكلها", "probability": 0.9039713541666666}, {"start": 364.24, "end": 364.5, "word": " يعني", "probability": 0.745849609375}, {"start": 364.5, "end": 365.2, "word": " اختصرها", "probability": 0.95078125}, {"start": 365.2, "end": 365.34, "word": " بال", "probability": 0.45654296875}, {"start": 365.34, "end": 365.8, "word": " 3X", "probability": 0.4071044921875}, {"start": 365.8, "end": 366.32, "word": " وبالتالي", "probability": 0.9267578125}, {"start": 366.32, "end": 367.28, "word": " بجيب", "probability": 0.950439453125}, {"start": 367.28, "end": 368.2, "word": " المعادلة", "probability": 0.98876953125}, {"start": 368.2, "end": 368.92, "word": " واحد", "probability": 0.932373046875}, {"start": 368.92, "end": 369.3, "word": " اشتر", "probability": 0.8299560546875}, {"start": 369.3, "end": 369.58, "word": " منها", "probability": 0.6107177734375}, {"start": 369.58, "end": 369.8, "word": " شوية", "probability": 0.9122721354166666}, {"start": 369.8, "end": 370.22, "word": " جالك", "probability": 0.83154296875}, {"start": 370.22, "end": 370.3, "word": " و", "probability": 0.59765625}, {"start": 370.3, "end": 370.48, "word": " قوله", "probability": 0.5002848307291666}, {"start": 370.48, "end": 370.86, "word": " شلق", "probability": 0.72314453125}, {"start": 370.86, "end": 371.28, "word": " الكعب", "probability": 0.3702392578125}], "temperature": 1.0}, {"id": 18, "seek": 38828, "start": 371.6, "end": 388.28, "text": "أخذت المتطابقات المثلثية في calculus بقوله صحيح بقال انا مستطيع استخدام المتطابقات المثلثية ولا اجيب معك و سبالة ولا غيره بقولك اذا ربعت هذه و ربعت هذه و جمعت بطلع واحد صحيح بضلش عندي T", "tokens": [10721, 9778, 8848, 2655, 9673, 2655, 9566, 16758, 4587, 9307, 9673, 12984, 1211, 12984, 10632, 8978, 33400, 4724, 39648, 3224, 20328, 5016, 1829, 5016, 4724, 4587, 6027, 1975, 8315, 3714, 14851, 9566, 40228, 44713, 9778, 3215, 10943, 9673, 2655, 9566, 16758, 4587, 9307, 9673, 12984, 1211, 12984, 10632, 49429, 1975, 7435, 1829, 3555, 20449, 4117, 4032, 8608, 3555, 6027, 3660, 49429, 32771, 13546, 3224, 4724, 39648, 4117, 1975, 15730, 12602, 3555, 34268, 29538, 4032, 12602, 3555, 34268, 29538, 4032, 10874, 2304, 34268, 4724, 9566, 1211, 3615, 36764, 24401, 20328, 5016, 1829, 5016, 4724, 11242, 1211, 8592, 18871, 16254, 314], "avg_logprob": -0.3871875143051147, "compression_ratio": 1.847457627118644, "no_speech_prob": 0.0, "words": [{"start": 371.6, "end": 372.6, "word": "أخذت", "probability": 0.632659912109375}, {"start": 372.6, "end": 373.92, "word": " المتطابقات", "probability": 0.6592000325520834}, {"start": 373.92, "end": 374.76, "word": " المثلثية", "probability": 0.9095703125}, {"start": 374.76, "end": 374.94, "word": " في", "probability": 0.740234375}, {"start": 374.94, "end": 375.38, "word": " calculus", "probability": 0.358642578125}, {"start": 375.38, "end": 376.14, "word": " بقوله", "probability": 0.3686116536458333}, {"start": 376.14, "end": 376.64, "word": " صحيح", "probability": 0.9361572265625}, {"start": 376.64, "end": 377.16, "word": " بقال", "probability": 0.4322102864583333}, {"start": 377.16, "end": 377.26, "word": " انا", "probability": 0.667236328125}, {"start": 377.26, "end": 377.6, "word": " مستطيع", "probability": 0.5621337890625}, {"start": 377.6, "end": 378.12, "word": " استخدام", "probability": 0.844482421875}, {"start": 378.12, "end": 378.82, "word": " المتطابقات", "probability": 0.9759114583333334}, {"start": 378.82, "end": 379.44, "word": " المثلثية", "probability": 0.98232421875}, {"start": 379.44, "end": 379.72, "word": " ولا", "probability": 0.7255859375}, {"start": 379.72, "end": 380.04, "word": " اجيب", "probability": 0.55902099609375}, {"start": 380.04, "end": 380.36, "word": " معك", "probability": 0.94482421875}, {"start": 380.36, "end": 380.48, "word": " و", "probability": 0.26318359375}, {"start": 380.48, "end": 380.92, "word": " سبالة", "probability": 0.5618896484375}, {"start": 380.92, "end": 381.08, "word": " ولا", "probability": 0.85205078125}, {"start": 381.08, "end": 381.58, "word": " غيره", "probability": 0.9625651041666666}, {"start": 381.58, "end": 382.78, "word": " بقولك", "probability": 0.544189453125}, {"start": 382.78, "end": 383.68, "word": " اذا", "probability": 0.5128173828125}, {"start": 383.68, "end": 384.46, "word": " ربعت", "probability": 0.8935546875}, {"start": 384.46, "end": 384.66, "word": " هذه", "probability": 0.609375}, {"start": 384.66, "end": 384.78, "word": " و", "probability": 0.84228515625}, {"start": 384.78, "end": 385.26, "word": " ربعت", "probability": 0.89453125}, {"start": 385.26, "end": 385.58, "word": " هذه", "probability": 0.8681640625}, {"start": 385.58, "end": 385.74, "word": " و", "probability": 0.6591796875}, {"start": 385.74, "end": 386.16, "word": " جمعت", "probability": 0.9285481770833334}, {"start": 386.16, "end": 386.6, "word": " بطلع", "probability": 0.705322265625}, {"start": 386.6, "end": 386.94, "word": " واحد", "probability": 0.853759765625}, {"start": 386.94, "end": 387.28, "word": " صحيح", "probability": 0.975341796875}, {"start": 387.28, "end": 387.7, "word": " بضلش", "probability": 0.57537841796875}, {"start": 387.7, "end": 388.02, "word": " عندي", "probability": 0.779052734375}, {"start": 388.02, "end": 388.28, "word": " T", "probability": 0.470703125}], "temperature": 1.0}, {"id": 19, "seek": 41125, "start": 388.63, "end": 411.25, "text": "يقولوا والله كلامك مزوغ، برضه هذه طريقة لسه أبسط من طريقتنا الأولى يبقى أنت حل بالطريقة اللي تقدر عليها طيرلي T بين المعادلتين وهاتي معادلة واحدة بدون اتمين X وY يبقى احنا لو جينا هنا قلنا المطلوب الأول لهذا السؤال", "tokens": [1829, 39648, 14407, 16070, 43761, 28242, 10943, 4117, 3714, 11622, 2407, 17082, 12399, 4724, 43042, 3224, 29538, 23032, 16572, 28671, 5296, 3794, 3224, 5551, 3555, 3794, 9566, 9154, 23032, 16572, 38149, 8315, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 14739, 2655, 11331, 1211, 20666, 9566, 16572, 28671, 13672, 1829, 6055, 28543, 2288, 25894, 11296, 23032, 13546, 20292, 314, 49374, 9673, 3615, 18513, 1211, 2655, 9957, 37037, 9307, 1829, 20449, 18513, 37977, 36764, 24401, 3660, 47525, 11536, 1975, 2655, 2304, 9957, 1783, 4032, 56, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 45164, 10874, 1829, 8315, 34105, 12174, 1211, 8315, 9673, 9566, 1211, 37746, 16247, 12610, 46740, 15730, 21136, 33604, 6027], "avg_logprob": -0.22301135794682936, "compression_ratio": 1.8737864077669903, "no_speech_prob": 0.0, "words": [{"start": 388.63, "end": 389.03, "word": "يقولوا", "probability": 0.4988199869791667}, {"start": 389.03, "end": 389.23, "word": " والله", "probability": 0.6070556640625}, {"start": 389.23, "end": 389.65, "word": " كلامك", "probability": 0.7425130208333334}, {"start": 389.65, "end": 390.15, "word": " مزوغ،", "probability": 0.68701171875}, {"start": 390.15, "end": 390.43, "word": " برضه", "probability": 0.9313151041666666}, {"start": 390.43, "end": 390.87, "word": " هذه", "probability": 0.77294921875}, {"start": 390.87, "end": 391.31, "word": " طريقة", "probability": 0.919921875}, {"start": 391.31, "end": 391.71, "word": " لسه", "probability": 0.9353841145833334}, {"start": 391.71, "end": 392.33, "word": " أبسط", "probability": 0.9652099609375}, {"start": 392.33, "end": 392.83, "word": " من", "probability": 0.98291015625}, {"start": 392.83, "end": 393.65, "word": " طريقتنا", "probability": 0.9676513671875}, {"start": 393.65, "end": 394.13, "word": " الأولى", "probability": 0.9806315104166666}, {"start": 394.13, "end": 394.81, "word": " يبقى", "probability": 0.82696533203125}, {"start": 394.81, "end": 395.39, "word": " أنت", "probability": 0.65966796875}, {"start": 395.39, "end": 395.83, "word": " حل", "probability": 0.97802734375}, {"start": 395.83, "end": 396.61, "word": " بالطريقة", "probability": 0.9569091796875}, {"start": 396.61, "end": 396.77, "word": " اللي", "probability": 0.7724609375}, {"start": 396.77, "end": 397.23, "word": " تقدر", "probability": 0.9825846354166666}, {"start": 397.23, "end": 397.63, "word": " عليها", "probability": 0.96875}, {"start": 397.63, "end": 398.61, "word": " طيرلي", "probability": 0.626708984375}, {"start": 398.61, "end": 399.07, "word": " T", "probability": 0.77783203125}, {"start": 399.07, "end": 399.53, "word": " بين", "probability": 0.98583984375}, {"start": 399.53, "end": 400.59, "word": " المعادلتين", "probability": 0.8655598958333334}, {"start": 400.59, "end": 401.43, "word": " وهاتي", "probability": 0.5973307291666666}, {"start": 401.43, "end": 401.95, "word": " معادلة", "probability": 0.9845377604166666}, {"start": 401.95, "end": 402.43, "word": " واحدة", "probability": 0.9524739583333334}, {"start": 402.43, "end": 402.69, "word": " بدون", "probability": 0.54248046875}, {"start": 402.69, "end": 403.37, "word": " اتمين", "probability": 0.62799072265625}, {"start": 403.37, "end": 404.15, "word": " X", "probability": 0.85107421875}, {"start": 404.15, "end": 404.67, "word": " وY", "probability": 0.3211669921875}, {"start": 404.67, "end": 405.47, "word": " يبقى", "probability": 0.9420166015625}, {"start": 405.47, "end": 405.83, "word": " احنا", "probability": 0.9148763020833334}, {"start": 405.83, "end": 406.09, "word": " لو", "probability": 0.96435546875}, {"start": 406.09, "end": 406.51, "word": " جينا", "probability": 0.9835611979166666}, {"start": 406.51, "end": 406.99, "word": " هنا", "probability": 0.98779296875}, {"start": 406.99, "end": 408.09, "word": " قلنا", "probability": 0.8961588541666666}, {"start": 408.09, "end": 409.01, "word": " المطلوب", "probability": 0.9691162109375}, {"start": 409.01, "end": 409.91, "word": " الأول", "probability": 0.926513671875}, {"start": 409.91, "end": 410.53, "word": " لهذا", "probability": 0.883056640625}, {"start": 410.53, "end": 411.25, "word": " السؤال", "probability": 0.9969075520833334}], "temperature": 1.0}, {"id": 20, "seek": 43920, "start": 411.76, "end": 439.2, "text": "أخذت X تربية زائد Y تربية يبقى تساوي Cos تربية T زائد Sin تربية T هذا بدي يعطيك ان X تربية زائد Y تربية يساوي كده؟ معدلتش هذه يبقى هذه equation of a circle with center", "tokens": [10721, 9778, 8848, 2655, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 398, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 6055, 3794, 995, 45865, 15855, 6055, 25513, 10632, 314, 30767, 16373, 3215, 11187, 6055, 25513, 10632, 314, 23758, 4724, 16254, 37495, 9566, 1829, 4117, 16472, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 398, 6055, 25513, 10632, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 20449, 3215, 1211, 2655, 8592, 29538, 7251, 3555, 4587, 7578, 29538, 5367, 295, 257, 6329, 365, 3056], "avg_logprob": -0.288001549096755, "compression_ratio": 1.6352201257861636, "no_speech_prob": 0.0, "words": [{"start": 411.76, "end": 412.52, "word": "أخذت", "probability": 0.6004638671875}, {"start": 412.52, "end": 412.84, "word": " X", "probability": 0.54736328125}, {"start": 412.84, "end": 413.58, "word": " تربية", "probability": 0.7007649739583334}, {"start": 413.58, "end": 414.2, "word": " زائد", "probability": 0.741943359375}, {"start": 414.2, "end": 414.48, "word": " Y", "probability": 0.96630859375}, {"start": 414.48, "end": 415.12, "word": " تربية", "probability": 0.95947265625}, {"start": 415.12, "end": 415.82, "word": " يبقى", "probability": 0.82952880859375}, {"start": 415.82, "end": 416.48, "word": " تساوي", "probability": 0.75177001953125}, {"start": 416.48, "end": 416.9, "word": " Cos", "probability": 0.09100341796875}, {"start": 416.9, "end": 417.96, "word": " تربية", "probability": 0.9248046875}, {"start": 417.96, "end": 418.44, "word": " T", "probability": 0.93798828125}, {"start": 418.44, "end": 419.18, "word": " زائد", "probability": 0.9479166666666666}, {"start": 419.18, "end": 419.66, "word": " Sin", "probability": 0.7001953125}, {"start": 419.66, "end": 420.54, "word": " تربية", "probability": 0.9807942708333334}, {"start": 420.54, "end": 420.98, "word": " T", "probability": 0.98779296875}, {"start": 420.98, "end": 421.68, "word": " هذا", "probability": 0.72021484375}, {"start": 421.68, "end": 422.04, "word": " بدي", "probability": 0.273193359375}, {"start": 422.04, "end": 422.7, "word": " يعطيك", "probability": 0.841064453125}, {"start": 422.7, "end": 422.98, "word": " ان", "probability": 0.6982421875}, {"start": 422.98, "end": 423.46, "word": " X", "probability": 0.916015625}, {"start": 423.46, "end": 424.08, "word": " تربية", "probability": 0.9615885416666666}, {"start": 424.08, "end": 424.6, "word": " زائد", "probability": 0.94189453125}, {"start": 424.6, "end": 424.82, "word": " Y", "probability": 0.98681640625}, {"start": 424.82, "end": 425.18, "word": " تربية", "probability": 0.9759114583333334}, {"start": 425.18, "end": 425.58, "word": " يساوي", "probability": 0.8701171875}, {"start": 425.58, "end": 426.46, "word": " كده؟", "probability": 0.49383544921875}, {"start": 426.46, "end": 428.76, "word": " معدلتش", "probability": 0.725830078125}, {"start": 428.76, "end": 429.1, "word": " هذه", "probability": 0.495361328125}, {"start": 429.1, "end": 431.18, "word": " يبقى", "probability": 0.94384765625}, {"start": 431.18, "end": 431.54, "word": " هذه", "probability": 0.810546875}, {"start": 431.54, "end": 432.24, "word": " equation", "probability": 0.64306640625}, {"start": 432.24, "end": 433.4, "word": " of", "probability": 0.8056640625}, {"start": 433.4, "end": 434.7, "word": " a", "probability": 0.94775390625}, {"start": 434.7, "end": 435.92, "word": " circle", "probability": 0.93359375}, {"start": 435.92, "end": 437.34, "word": " with", "probability": 0.92822265625}, {"start": 437.34, "end": 439.2, "word": " center", "probability": 0.8408203125}], "temperature": 1.0}, {"id": 21, "seek": 45163, "start": 440.35, "end": 451.63, "text": "at the origin and radius اللي هو one", "tokens": [267, 264, 4957, 293, 15845, 13672, 1829, 31439, 472], "avg_logprob": -0.40156249701976776, "compression_ratio": 0.8571428571428571, "no_speech_prob": 0.0, "words": [{"start": 440.35, "end": 440.95, "word": "at", "probability": 0.2437744140625}, {"start": 440.95, "end": 442.19, "word": " the", "probability": 0.8369140625}, {"start": 442.19, "end": 443.65, "word": " origin", "probability": 0.9580078125}, {"start": 443.65, "end": 445.51, "word": " and", "probability": 0.9580078125}, {"start": 445.51, "end": 447.11, "word": " radius", "probability": 0.92822265625}, {"start": 447.11, "end": 451.17, "word": " اللي", "probability": 0.56591796875}, {"start": 451.17, "end": 451.41, "word": " هو", "probability": 0.98974609375}, {"start": 451.41, "end": 451.63, "word": " one", "probability": 0.8076171875}], "temperature": 1.0}, {"id": 22, "seek": 47761, "start": 452.87, "end": 477.61, "text": "طيب كويسة، هذه معلومة كويسة، الآن بدنا نروح نرسم الرسمة بتبعتنا، أبصر تطلع دائرة كاملة، الدائرة تلف مرتين، تلاتة، نصف دائرة، ربع دائرة، الجد ما يطلع يطلع، المهم أنا مقيد بالفترة اللي أعطاها ليها دي، تمام؟ لذلك بدأ أجيله للنقطة التانية", "tokens": [9566, 1829, 3555, 9122, 45865, 3794, 3660, 12399, 29538, 20449, 1211, 20498, 3660, 9122, 45865, 3794, 3660, 12399, 6024, 48506, 47525, 8315, 8717, 32887, 5016, 8717, 2288, 38251, 34892, 38251, 3660, 39894, 3555, 34268, 8315, 12399, 5551, 3555, 9381, 2288, 6055, 9566, 1211, 3615, 11778, 16373, 25720, 9122, 10943, 37977, 12399, 32748, 16373, 25720, 6055, 46538, 3714, 43500, 9957, 12399, 6055, 1211, 9307, 3660, 12399, 8717, 9381, 5172, 11778, 16373, 25720, 12399, 12602, 3555, 3615, 11778, 16373, 25720, 12399, 25724, 3215, 19446, 7251, 9566, 1211, 3615, 7251, 9566, 1211, 3615, 12399, 9673, 16095, 41850, 3714, 4587, 25708, 20666, 5172, 2655, 25720, 13672, 1829, 5551, 3615, 9566, 995, 11296, 32239, 11296, 11778, 1829, 12399, 46811, 10943, 22807, 5296, 8848, 23275, 47525, 10721, 5551, 7435, 26895, 3224, 24976, 1863, 47432, 3660, 16712, 7649, 10632], "avg_logprob": -0.14332706408393114, "compression_ratio": 1.9366515837104072, "no_speech_prob": 0.0, "words": [{"start": 452.87, "end": 453.35, "word": "طيب", "probability": 0.8284505208333334}, {"start": 453.35, "end": 454.11, "word": " كويسة،", "probability": 0.719091796875}, {"start": 454.11, "end": 454.41, "word": " هذه", "probability": 0.796875}, {"start": 454.41, "end": 454.95, "word": " معلومة", "probability": 0.97607421875}, {"start": 454.95, "end": 456.05, "word": " كويسة،", "probability": 0.871240234375}, {"start": 456.05, "end": 456.51, "word": " الآن", "probability": 0.67138671875}, {"start": 456.51, "end": 456.87, "word": " بدنا", "probability": 0.820556640625}, {"start": 456.87, "end": 457.19, "word": " نروح", "probability": 0.9518229166666666}, {"start": 457.19, "end": 457.81, "word": " نرسم", "probability": 0.97802734375}, {"start": 457.81, "end": 458.69, "word": " الرسمة", "probability": 0.8445638020833334}, {"start": 458.69, "end": 459.85, "word": " بتبعتنا،", "probability": 0.8029296875}, {"start": 459.85, "end": 460.31, "word": " أبصر", "probability": 0.79205322265625}, {"start": 460.31, "end": 460.71, "word": " تطلع", "probability": 0.9925537109375}, {"start": 460.71, "end": 461.23, "word": " دائرة", "probability": 0.9793294270833334}, {"start": 461.23, "end": 462.83, "word": " كاملة،", "probability": 0.9609375}, {"start": 462.83, "end": 463.51, "word": " الدائرة", "probability": 0.8090006510416666}, {"start": 463.51, "end": 463.95, "word": " تلف", "probability": 0.94482421875}, {"start": 463.95, "end": 464.73, "word": " مرتين،", "probability": 0.9117431640625}, {"start": 464.73, "end": 465.89, "word": " تلاتة،", "probability": 0.9658203125}, {"start": 465.89, "end": 466.59, "word": " نصف", "probability": 0.9939778645833334}, {"start": 466.59, "end": 467.69, "word": " دائرة،", "probability": 0.9820556640625}, {"start": 467.69, "end": 468.15, "word": " ربع", "probability": 0.96826171875}, {"start": 468.15, "end": 468.77, "word": " دائرة،", "probability": 0.9803466796875}, {"start": 468.77, "end": 469.05, "word": " الجد", "probability": 0.6962890625}, {"start": 469.05, "end": 469.17, "word": " ما", "probability": 0.78857421875}, {"start": 469.17, "end": 469.57, "word": " يطلع", "probability": 0.9957275390625}, {"start": 469.57, "end": 470.09, "word": " يطلع،", "probability": 0.95068359375}, {"start": 470.09, "end": 470.39, "word": " المهم", "probability": 0.965087890625}, {"start": 470.39, "end": 470.79, "word": " أنا", "probability": 0.828125}, {"start": 470.79, "end": 471.61, "word": " مقيد", "probability": 0.904296875}, {"start": 471.61, "end": 472.65, "word": " بالفترة", "probability": 0.977783203125}, {"start": 472.65, "end": 472.83, "word": " اللي", "probability": 0.959716796875}, {"start": 472.83, "end": 473.27, "word": " أعطاها", "probability": 0.84248046875}, {"start": 473.27, "end": 473.65, "word": " ليها", "probability": 0.69970703125}, {"start": 473.65, "end": 474.19, "word": " دي،", "probability": 0.8079427083333334}, {"start": 474.19, "end": 475.07, "word": " تمام؟", "probability": 0.9622395833333334}, {"start": 475.07, "end": 475.63, "word": " لذلك", "probability": 0.9749348958333334}, {"start": 475.63, "end": 475.99, "word": " بدأ", "probability": 0.3572998046875}, {"start": 475.99, "end": 476.29, "word": " أجيله", "probability": 0.798583984375}, {"start": 476.29, "end": 477.03, "word": " للنقطة", "probability": 0.9117431640625}, {"start": 477.03, "end": 477.61, "word": " التانية", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 23, "seek": 48964, "start": 478.22, "end": 489.64, "text": "بدي احسب اللي هو قيمة المعادلة او قيمة النقاط اللي بدي اتحرك عليها الجسم خلال الفترة اللي عندنا هذه فباجي بقوله", "tokens": [3555, 16254, 1975, 5016, 35457, 13672, 1829, 31439, 12174, 32640, 3660, 9673, 3615, 18513, 37977, 1975, 2407, 12174, 32640, 3660, 28239, 4587, 41193, 13672, 1829, 4724, 16254, 1975, 2655, 5016, 31747, 25894, 11296, 25724, 38251, 16490, 1211, 6027, 27188, 2655, 25720, 13672, 1829, 43242, 8315, 29538, 6156, 3555, 26108, 1829, 4724, 39648, 3224], "avg_logprob": -0.17288773782827235, "compression_ratio": 1.6694214876033058, "no_speech_prob": 0.0, "words": [{"start": 478.22, "end": 478.6, "word": "بدي", "probability": 0.36785888671875}, {"start": 478.6, "end": 479.28, "word": " احسب", "probability": 0.8455403645833334}, {"start": 479.28, "end": 480.06, "word": " اللي", "probability": 0.553466796875}, {"start": 480.06, "end": 480.52, "word": " هو", "probability": 0.98876953125}, {"start": 480.52, "end": 482.1, "word": " قيمة", "probability": 0.9947916666666666}, {"start": 482.1, "end": 483.1, "word": " المعادلة", "probability": 0.958740234375}, {"start": 483.1, "end": 483.34, "word": " او", "probability": 0.802734375}, {"start": 483.34, "end": 483.86, "word": " قيمة", "probability": 0.9890950520833334}, {"start": 483.86, "end": 484.6, "word": " النقاط", "probability": 0.91748046875}, {"start": 484.6, "end": 484.78, "word": " اللي", "probability": 0.807373046875}, {"start": 484.78, "end": 484.98, "word": " بدي", "probability": 0.794189453125}, {"start": 484.98, "end": 485.54, "word": " اتحرك", "probability": 0.898193359375}, {"start": 485.54, "end": 485.96, "word": " عليها", "probability": 0.986083984375}, {"start": 485.96, "end": 486.6, "word": " الجسم", "probability": 0.883544921875}, {"start": 486.6, "end": 487.36, "word": " خلال", "probability": 0.9895833333333334}, {"start": 487.36, "end": 487.84, "word": " الفترة", "probability": 0.9895833333333334}, {"start": 487.84, "end": 488.02, "word": " اللي", "probability": 0.948974609375}, {"start": 488.02, "end": 488.38, "word": " عندنا", "probability": 0.884521484375}, {"start": 488.38, "end": 488.58, "word": " هذه", "probability": 0.7138671875}, {"start": 488.58, "end": 489.1, "word": " فباجي", "probability": 0.765869140625}, {"start": 489.1, "end": 489.64, "word": " بقوله", "probability": 0.8702799479166666}], "temperature": 1.0}, {"id": 24, "seek": 51564, "start": 490.1, "end": 515.64, "text": "لو كانت ال T تساوي 0 then X وY بده يساوي اللي هو مين لشان أول مرة بده أكتبها بالتفصيل يبقى هاي cosine 0 و هنا sin 0 cosine صفر القداش cosine 0 إذا بدنا نبدأ من عند النقبة 1 و 0 دائما يا شباب ناخد", "tokens": [1211, 2407, 25961, 2655, 2423, 314, 6055, 3794, 995, 45865, 1958, 550, 1783, 4032, 56, 47525, 3224, 7251, 3794, 995, 45865, 13672, 1829, 31439, 3714, 9957, 5296, 8592, 7649, 5551, 12610, 3714, 25720, 47525, 3224, 5551, 4117, 2655, 3555, 11296, 20666, 2655, 5172, 9381, 26895, 7251, 3555, 4587, 7578, 8032, 47302, 23565, 1958, 4032, 34105, 3343, 1958, 23565, 20328, 5172, 2288, 25062, 3215, 33599, 23565, 1958, 11933, 15730, 47525, 8315, 8717, 44510, 10721, 9154, 43242, 28239, 4587, 49401, 502, 4032, 1958, 11778, 16373, 15042, 35186, 13412, 3555, 16758, 8717, 47283, 3215], "avg_logprob": -0.3094429402895596, "compression_ratio": 1.5707070707070707, "no_speech_prob": 0.0, "words": [{"start": 490.1, "end": 490.7, "word": "لو", "probability": 0.7286376953125}, {"start": 490.7, "end": 491.34, "word": " كانت", "probability": 0.7431640625}, {"start": 491.34, "end": 491.58, "word": " ال", "probability": 0.51416015625}, {"start": 491.58, "end": 491.72, "word": " T", "probability": 0.356689453125}, {"start": 491.72, "end": 492.5, "word": " تساوي", "probability": 0.789215087890625}, {"start": 492.5, "end": 493.08, "word": " 0", "probability": 0.300537109375}, {"start": 493.08, "end": 493.84, "word": " then", "probability": 0.16455078125}, {"start": 493.84, "end": 494.9, "word": " X", "probability": 0.70947265625}, {"start": 494.9, "end": 495.66, "word": " وY", "probability": 0.685791015625}, {"start": 495.66, "end": 496.04, "word": " بده", "probability": 0.4356689453125}, {"start": 496.04, "end": 496.6, "word": " يساوي", "probability": 0.96728515625}, {"start": 496.6, "end": 497.28, "word": " اللي", "probability": 0.747802734375}, {"start": 497.28, "end": 497.46, "word": " هو", "probability": 0.94091796875}, {"start": 497.46, "end": 497.88, "word": " مين", "probability": 0.6875}, {"start": 497.88, "end": 498.74, "word": " لشان", "probability": 0.6568196614583334}, {"start": 498.74, "end": 498.98, "word": " أول", "probability": 0.843994140625}, {"start": 498.98, "end": 499.22, "word": " مرة", "probability": 0.986572265625}, {"start": 499.22, "end": 499.44, "word": " بده", "probability": 0.6468505859375}, {"start": 499.44, "end": 499.76, "word": " أكتبها", "probability": 0.882421875}, {"start": 499.76, "end": 500.52, "word": " بالتفصيل", "probability": 0.9826171875}, {"start": 500.52, "end": 501.48, "word": " يبقى", "probability": 0.9454345703125}, {"start": 501.48, "end": 501.88, "word": " هاي", "probability": 0.567138671875}, {"start": 501.88, "end": 502.52, "word": " cosine", "probability": 0.433837890625}, {"start": 502.52, "end": 503.44, "word": " 0", "probability": 0.357666015625}, {"start": 503.44, "end": 503.88, "word": " و", "probability": 0.60791015625}, {"start": 503.88, "end": 504.2, "word": " هنا", "probability": 0.77197265625}, {"start": 504.2, "end": 504.78, "word": " sin", "probability": 0.52392578125}, {"start": 504.78, "end": 505.44, "word": " 0", "probability": 0.7978515625}, {"start": 505.44, "end": 506.2, "word": " cosine", "probability": 0.69384765625}, {"start": 506.2, "end": 506.58, "word": " صفر", "probability": 0.8681640625}, {"start": 506.58, "end": 507.36, "word": " القداش", "probability": 0.68695068359375}, {"start": 507.36, "end": 508.14, "word": " cosine", "probability": 0.60693359375}, {"start": 508.14, "end": 508.98, "word": " 0", "probability": 0.56103515625}, {"start": 508.98, "end": 510.02, "word": " إذا", "probability": 0.681396484375}, {"start": 510.02, "end": 510.4, "word": " بدنا", "probability": 0.927734375}, {"start": 510.4, "end": 510.78, "word": " نبدأ", "probability": 0.9855143229166666}, {"start": 510.78, "end": 510.92, "word": " من", "probability": 0.974609375}, {"start": 510.92, "end": 511.26, "word": " عند", "probability": 0.91357421875}, {"start": 511.26, "end": 511.88, "word": " النقبة", "probability": 0.7854817708333334}, {"start": 511.88, "end": 512.5, "word": " 1", "probability": 0.62353515625}, {"start": 512.5, "end": 512.82, "word": " و", "probability": 0.95458984375}, {"start": 512.82, "end": 513.2, "word": " 0", "probability": 0.67724609375}, {"start": 513.2, "end": 514.08, "word": " دائما", "probability": 0.78173828125}, {"start": 514.08, "end": 514.48, "word": " يا", "probability": 0.58740234375}, {"start": 514.48, "end": 514.86, "word": " شباب", "probability": 0.9886067708333334}, {"start": 514.86, "end": 515.64, "word": " ناخد", "probability": 0.86328125}], "temperature": 1.0}, {"id": 25, "seek": 54379, "start": 515.78, "end": 543.8, "text": "تجاه parameter T تزايدي تجاه increasing T من أقل القيمة ومن نجرح إلى أكبر قيمة مش نمضى من الآخر ونرجع للأول يبقى في كل الرسم تبع ال parameter كذا وعشان ناخد اتجاه تزايد T يبقى أقل القيمة تاخدها T تساوي Zero لو أخدت القيمة اللي بعدها فجهة قلت مثلا لو T تساوي بي على اتنين then X Y تساوي", "tokens": [2655, 7435, 40294, 13075, 314, 6055, 11622, 995, 25708, 1829, 6055, 7435, 40294, 5662, 314, 9154, 5551, 4587, 1211, 25062, 32640, 3660, 4032, 27842, 8717, 7435, 2288, 5016, 30731, 5551, 4117, 26890, 12174, 32640, 3660, 37893, 8717, 2304, 11242, 7578, 9154, 6024, 95, 34740, 4032, 1863, 47341, 3615, 24976, 10721, 12610, 7251, 3555, 4587, 7578, 8978, 28242, 34892, 38251, 6055, 3555, 3615, 2423, 13075, 9122, 15730, 4032, 3615, 8592, 7649, 8717, 47283, 3215, 1975, 2655, 7435, 40294, 6055, 11622, 995, 25708, 314, 7251, 3555, 4587, 7578, 5551, 4587, 1211, 25062, 32640, 3660, 6055, 47283, 3215, 11296, 314, 6055, 3794, 995, 45865, 17182, 45164, 5551, 9778, 3215, 2655, 25062, 32640, 3660, 13672, 1829, 39182, 11296, 6156, 7435, 3224, 3660, 12174, 1211, 2655, 50113, 15040, 45164, 314, 6055, 3794, 995, 45865, 4724, 1829, 15844, 1975, 2655, 1863, 9957, 550, 1783, 398, 6055, 3794, 995, 45865], "avg_logprob": -0.2903645932674408, "compression_ratio": 1.8108108108108107, "no_speech_prob": 0.0, "words": [{"start": 515.78, "end": 516.46, "word": "تجاه", "probability": 0.3772379557291667}, {"start": 516.46, "end": 517.02, "word": " parameter", "probability": 0.2337646484375}, {"start": 517.02, "end": 517.54, "word": " T", "probability": 0.51220703125}, {"start": 517.54, "end": 518.42, "word": " تزايدي", "probability": 0.7849609375}, {"start": 518.42, "end": 519.02, "word": " تجاه", "probability": 0.5983072916666666}, {"start": 519.02, "end": 519.94, "word": " increasing", "probability": 0.48583984375}, {"start": 519.94, "end": 520.54, "word": " T", "probability": 0.78466796875}, {"start": 520.54, "end": 521.22, "word": " من", "probability": 0.49609375}, {"start": 521.22, "end": 521.78, "word": " أقل", "probability": 0.8271484375}, {"start": 521.78, "end": 522.18, "word": " القيمة", "probability": 0.9041341145833334}, {"start": 522.18, "end": 522.36, "word": " ومن", "probability": 0.656494140625}, {"start": 522.36, "end": 522.74, "word": " نجرح", "probability": 0.578338623046875}, {"start": 522.74, "end": 522.96, "word": " إلى", "probability": 0.17431640625}, {"start": 522.96, "end": 523.32, "word": " أكبر", "probability": 0.9583333333333334}, {"start": 523.32, "end": 523.58, "word": " قيمة", "probability": 0.9378255208333334}, {"start": 523.58, "end": 523.8, "word": " مش", "probability": 0.23779296875}, {"start": 523.8, "end": 524.08, "word": " نمضى", "probability": 0.6270751953125}, {"start": 524.08, "end": 524.22, "word": " من", "probability": 0.78759765625}, {"start": 524.22, "end": 524.46, "word": " الآخر", "probability": 0.7476399739583334}, {"start": 524.46, "end": 524.84, "word": " ونرجع", "probability": 0.806640625}, {"start": 524.84, "end": 525.46, "word": " للأول", "probability": 0.8566080729166666}, {"start": 525.46, "end": 526.24, "word": " يبقى", "probability": 0.80389404296875}, {"start": 526.24, "end": 526.36, "word": " في", "probability": 0.88720703125}, {"start": 526.36, "end": 526.8, "word": " كل", "probability": 0.986328125}, {"start": 526.8, "end": 527.28, "word": " الرسم", "probability": 0.9482421875}, {"start": 527.28, "end": 527.58, "word": " تبع", "probability": 0.8766276041666666}, {"start": 527.58, "end": 527.72, "word": " ال", "probability": 0.900390625}, {"start": 527.72, "end": 528.04, "word": " parameter", "probability": 0.8564453125}, {"start": 528.04, "end": 528.36, "word": " كذا", "probability": 0.3756103515625}, {"start": 528.36, "end": 528.76, "word": " وعشان", "probability": 0.68804931640625}, {"start": 528.76, "end": 529.2, "word": " ناخد", "probability": 0.923828125}, {"start": 529.2, "end": 529.84, "word": " اتجاه", "probability": 0.9549560546875}, {"start": 529.84, "end": 530.58, "word": " تزايد", "probability": 0.98876953125}, {"start": 530.58, "end": 530.88, "word": " T", "probability": 0.951171875}, {"start": 530.88, "end": 531.6, "word": " يبقى", "probability": 0.8707275390625}, {"start": 531.6, "end": 532.02, "word": " أقل", "probability": 0.9733072916666666}, {"start": 532.02, "end": 532.38, "word": " القيمة", "probability": 0.9158528645833334}, {"start": 532.38, "end": 532.86, "word": " تاخدها", "probability": 0.9576416015625}, {"start": 532.86, "end": 533.18, "word": " T", "probability": 0.87841796875}, {"start": 533.18, "end": 533.82, "word": " تساوي", "probability": 0.82269287109375}, {"start": 533.82, "end": 534.1, "word": " Zero", "probability": 0.50927734375}, {"start": 534.1, "end": 534.32, "word": " لو", "probability": 0.75244140625}, {"start": 534.32, "end": 534.76, "word": " أخدت", "probability": 0.96142578125}, {"start": 534.76, "end": 535.2, "word": " القيمة", "probability": 0.9519856770833334}, {"start": 535.2, "end": 535.36, "word": " اللي", "probability": 0.896484375}, {"start": 535.36, "end": 535.94, "word": " بعدها", "probability": 0.9208984375}, {"start": 535.94, "end": 536.78, "word": " فجهة", "probability": 0.739044189453125}, {"start": 536.78, "end": 537.18, "word": " قلت", "probability": 0.87109375}, {"start": 537.18, "end": 537.68, "word": " مثلا", "probability": 0.95849609375}, {"start": 537.68, "end": 538.02, "word": " لو", "probability": 0.90185546875}, {"start": 538.02, "end": 538.32, "word": " T", "probability": 0.92529296875}, {"start": 538.32, "end": 539.08, "word": " تساوي", "probability": 0.9444580078125}, {"start": 539.08, "end": 539.56, "word": " بي", "probability": 0.35137939453125}, {"start": 539.56, "end": 539.9, "word": " على", "probability": 0.8544921875}, {"start": 539.9, "end": 540.5, "word": " اتنين", "probability": 0.90673828125}, {"start": 540.5, "end": 541.42, "word": " then", "probability": 0.62841796875}, {"start": 541.42, "end": 542.18, "word": " X", "probability": 0.50146484375}, {"start": 542.18, "end": 543.06, "word": " Y", "probability": 0.57958984375}, {"start": 543.06, "end": 543.8, "word": " تساوي", "probability": 0.963623046875}], "temperature": 1.0}, {"id": 26, "seek": 57289, "start": 545.33, "end": 572.89, "text": "نأتي الآن لـcos πي على اتنين و sin باي على اتنين cos باي على اتنين هو زره و sin باي على اتنين هو واحد بعد ذلك لو كانت ال T تساوي باي then x و y يساوي cos باي و هنا sin باي cos مية و تمانين و sin", "tokens": [1863, 10721, 31371, 6024, 48506, 5296, 39184, 6877, 4654, 1829, 15844, 1975, 2655, 1863, 9957, 4032, 3343, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 3792, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 31439, 30767, 2288, 3224, 4032, 3343, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 31439, 36764, 24401, 39182, 29910, 23275, 45164, 25961, 2655, 2423, 314, 6055, 3794, 995, 45865, 4724, 47302, 550, 2031, 4032, 288, 7251, 3794, 995, 45865, 3792, 4724, 47302, 4032, 34105, 3343, 4724, 47302, 3792, 3714, 10632, 4032, 46811, 7649, 9957, 4032, 3343], "avg_logprob": -0.3693181933327155, "compression_ratio": 1.93125, "no_speech_prob": 0.0, "words": [{"start": 545.33, "end": 545.73, "word": "نأتي", "probability": 0.470458984375}, {"start": 545.73, "end": 546.17, "word": " الآن", "probability": 0.6646728515625}, {"start": 546.17, "end": 547.39, "word": " لـcos", "probability": 0.6483561197916666}, {"start": 547.39, "end": 547.95, "word": " πي", "probability": 0.21407318115234375}, {"start": 547.95, "end": 548.27, "word": " على", "probability": 0.6904296875}, {"start": 548.27, "end": 548.81, "word": " اتنين", "probability": 0.8763427734375}, {"start": 548.81, "end": 549.01, "word": " و", "probability": 0.79296875}, {"start": 549.01, "end": 549.63, "word": " sin", "probability": 0.294677734375}, {"start": 549.63, "end": 550.25, "word": " باي", "probability": 0.586181640625}, {"start": 550.25, "end": 550.59, "word": " على", "probability": 0.91357421875}, {"start": 550.59, "end": 551.21, "word": " اتنين", "probability": 0.979736328125}, {"start": 551.21, "end": 551.99, "word": " cos", "probability": 0.61962890625}, {"start": 551.99, "end": 552.61, "word": " باي", "probability": 0.736328125}, {"start": 552.61, "end": 552.79, "word": " على", "probability": 0.91650390625}, {"start": 552.79, "end": 553.47, "word": " اتنين", "probability": 0.9891357421875}, {"start": 553.47, "end": 553.93, "word": " هو", "probability": 0.191162109375}, {"start": 553.93, "end": 554.41, "word": " زره", "probability": 0.4215087890625}, {"start": 554.41, "end": 554.83, "word": " و", "probability": 0.8544921875}, {"start": 554.83, "end": 555.17, "word": " sin", "probability": 0.908203125}, {"start": 555.17, "end": 555.41, "word": " باي", "probability": 0.9189453125}, {"start": 555.41, "end": 555.61, "word": " على", "probability": 0.9052734375}, {"start": 555.61, "end": 556.23, "word": " اتنين", "probability": 0.9898681640625}, {"start": 556.23, "end": 556.69, "word": " هو", "probability": 0.78271484375}, {"start": 556.69, "end": 557.23, "word": " واحد", "probability": 0.94482421875}, {"start": 557.23, "end": 558.07, "word": " بعد", "probability": 0.51611328125}, {"start": 558.07, "end": 558.53, "word": " ذلك", "probability": 0.721435546875}, {"start": 558.53, "end": 558.93, "word": " لو", "probability": 0.44091796875}, {"start": 558.93, "end": 559.67, "word": " كانت", "probability": 0.83154296875}, {"start": 559.67, "end": 559.89, "word": " ال", "probability": 0.60400390625}, {"start": 559.89, "end": 560.09, "word": " T", "probability": 0.50439453125}, {"start": 560.09, "end": 560.95, "word": " تساوي", "probability": 0.859619140625}, {"start": 560.95, "end": 561.51, "word": " باي", "probability": 0.844482421875}, {"start": 561.51, "end": 562.43, "word": " then", "probability": 0.1915283203125}, {"start": 562.43, "end": 563.39, "word": " x", "probability": 0.4404296875}, {"start": 563.39, "end": 563.73, "word": " و", "probability": 0.459228515625}, {"start": 563.73, "end": 564.19, "word": " y", "probability": 0.740234375}, {"start": 564.19, "end": 564.87, "word": " يساوي", "probability": 0.87451171875}, {"start": 564.87, "end": 565.67, "word": " cos", "probability": 0.7900390625}, {"start": 565.67, "end": 566.85, "word": " باي", "probability": 0.830810546875}, {"start": 566.85, "end": 567.55, "word": " و", "probability": 0.82275390625}, {"start": 567.55, "end": 567.91, "word": " هنا", "probability": 0.869140625}, {"start": 567.91, "end": 568.77, "word": " sin", "probability": 0.8896484375}, {"start": 568.77, "end": 569.67, "word": " باي", "probability": 0.87890625}, {"start": 569.67, "end": 570.39, "word": " cos", "probability": 0.48828125}, {"start": 570.39, "end": 570.75, "word": " مية", "probability": 0.665283203125}, {"start": 570.75, "end": 570.87, "word": " و", "probability": 0.407958984375}, {"start": 570.87, "end": 571.51, "word": " تمانين", "probability": 0.9474283854166666}, {"start": 571.51, "end": 572.31, "word": " و", "probability": 0.9599609375}, {"start": 572.31, "end": 572.89, "word": " sin", "probability": 0.8095703125}], "temperature": 1.0}, {"id": 27, "seek": 60030, "start": 573.31, "end": 600.31, "text": "بـ 0 يبقى خلاصنا الكلام اللي قدناه هذا بدأت أخد هنا الرسم تبعي و أشوف شو المنحنة اللي صار عندى يبقى هذا محور X هذا محور Y و هذه نقطة الأصل اللي هو Zero النقطة الأولى 1 و Zero X و Y تساوي 1 و Zero 1 و Zero اللي هي النقطة اللي عندنا هذه 1 و Zero", "tokens": [3555, 39184, 1958, 7251, 3555, 4587, 7578, 16490, 1211, 33546, 8315, 2423, 28820, 10943, 13672, 1829, 12174, 3215, 8315, 3224, 23758, 47525, 10721, 2655, 5551, 9778, 3215, 34105, 34892, 38251, 6055, 3555, 3615, 1829, 4032, 5551, 8592, 38688, 13412, 2407, 9673, 1863, 5016, 1863, 3660, 13672, 1829, 20328, 9640, 43242, 7578, 7251, 3555, 4587, 7578, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 4032, 29538, 8717, 47432, 3660, 16247, 36520, 13672, 1829, 31439, 17182, 28239, 47432, 3660, 16247, 12610, 7578, 502, 4032, 17182, 1783, 4032, 398, 6055, 3794, 995, 45865, 502, 4032, 17182, 502, 4032, 17182, 13672, 1829, 39896, 28239, 47432, 3660, 13672, 1829, 43242, 8315, 29538, 502, 4032, 17182], "avg_logprob": -0.26410398652068284, "compression_ratio": 2.0408163265306123, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 573.31, "end": 573.81, "word": "بـ", "probability": 0.3743896484375}, {"start": 573.81, "end": 574.07, "word": " 0", "probability": 0.274658203125}, {"start": 574.07, "end": 574.91, "word": " يبقى", "probability": 0.90771484375}, {"start": 574.91, "end": 575.55, "word": " خلاصنا", "probability": 0.8587646484375}, {"start": 575.55, "end": 577.15, "word": " الكلام", "probability": 0.7421468098958334}, {"start": 577.15, "end": 577.29, "word": " اللي", "probability": 0.88525390625}, {"start": 577.29, "end": 577.73, "word": " قدناه", "probability": 0.65557861328125}, {"start": 577.73, "end": 577.95, "word": " هذا", "probability": 0.34228515625}, {"start": 577.95, "end": 578.99, "word": " بدأت", "probability": 0.3194580078125}, {"start": 578.99, "end": 579.59, "word": " أخد", "probability": 0.6809895833333334}, {"start": 579.59, "end": 580.17, "word": " هنا", "probability": 0.82470703125}, {"start": 580.17, "end": 581.09, "word": " الرسم", "probability": 0.947021484375}, {"start": 581.09, "end": 581.79, "word": " تبعي", "probability": 0.92138671875}, {"start": 581.79, "end": 582.31, "word": " و", "probability": 0.69921875}, {"start": 582.31, "end": 582.61, "word": " أشوف", "probability": 0.80615234375}, {"start": 582.61, "end": 582.81, "word": " شو", "probability": 0.79736328125}, {"start": 582.81, "end": 583.47, "word": " المنحنة", "probability": 0.87783203125}, {"start": 583.47, "end": 583.63, "word": " اللي", "probability": 0.970458984375}, {"start": 583.63, "end": 583.97, "word": " صار", "probability": 0.908447265625}, {"start": 583.97, "end": 584.51, "word": " عندى", "probability": 0.63623046875}, {"start": 584.51, "end": 585.21, "word": " يبقى", "probability": 0.9622802734375}, {"start": 585.21, "end": 585.47, "word": " هذا", "probability": 0.7373046875}, {"start": 585.47, "end": 586.03, "word": " محور", "probability": 0.9830729166666666}, {"start": 586.03, "end": 586.47, "word": " X", "probability": 0.79248046875}, {"start": 586.47, "end": 587.21, "word": " هذا", "probability": 0.52294921875}, {"start": 587.21, "end": 587.79, "word": " محور", "probability": 0.984375}, {"start": 587.79, "end": 588.19, "word": " Y", "probability": 0.9873046875}, {"start": 588.19, "end": 588.43, "word": " و", "probability": 0.440673828125}, {"start": 588.43, "end": 588.67, "word": " هذه", "probability": 0.71923828125}, {"start": 588.67, "end": 589.15, "word": " نقطة", "probability": 0.9806315104166666}, {"start": 589.15, "end": 589.75, "word": " الأصل", "probability": 0.71533203125}, {"start": 589.75, "end": 590.19, "word": " اللي", "probability": 0.891845703125}, {"start": 590.19, "end": 590.41, "word": " هو", "probability": 0.5712890625}, {"start": 590.41, "end": 590.73, "word": " Zero", "probability": 0.448486328125}, {"start": 590.73, "end": 591.95, "word": " النقطة", "probability": 0.9671223958333334}, {"start": 591.95, "end": 592.29, "word": " الأولى", "probability": 0.9801432291666666}, {"start": 592.29, "end": 592.63, "word": " 1", "probability": 0.1702880859375}, {"start": 592.63, "end": 592.93, "word": " و", "probability": 0.80078125}, {"start": 592.93, "end": 593.19, "word": " Zero", "probability": 0.583984375}, {"start": 593.19, "end": 593.73, "word": " X", "probability": 0.80615234375}, {"start": 593.73, "end": 594.03, "word": " و", "probability": 0.82421875}, {"start": 594.03, "end": 594.29, "word": " Y", "probability": 0.73095703125}, {"start": 594.29, "end": 594.85, "word": " تساوي", "probability": 0.6795654296875}, {"start": 594.85, "end": 595.15, "word": " 1", "probability": 0.85693359375}, {"start": 595.15, "end": 595.41, "word": " و", "probability": 0.97900390625}, {"start": 595.41, "end": 595.69, "word": " Zero", "probability": 0.92822265625}, {"start": 595.69, "end": 596.47, "word": " 1", "probability": 0.75927734375}, {"start": 596.47, "end": 596.83, "word": " و", "probability": 0.98486328125}, {"start": 596.83, "end": 597.07, "word": " Zero", "probability": 0.96240234375}, {"start": 597.07, "end": 597.25, "word": " اللي", "probability": 0.859130859375}, {"start": 597.25, "end": 597.33, "word": " هي", "probability": 0.900390625}, {"start": 597.33, "end": 597.85, "word": " النقطة", "probability": 0.9641927083333334}, {"start": 597.85, "end": 598.03, "word": " اللي", "probability": 0.954833984375}, {"start": 598.03, "end": 598.49, "word": " عندنا", "probability": 0.959228515625}, {"start": 598.49, "end": 598.85, "word": " هذه", "probability": 0.6044921875}, {"start": 598.85, "end": 599.73, "word": " 1", "probability": 0.73046875}, {"start": 599.73, "end": 600.07, "word": " و", "probability": 0.99365234375}, {"start": 600.07, "end": 600.31, "word": " Zero", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 28, "seek": 61772, "start": 600.98, "end": 617.72, "text": "النقطة التانية 01 01 اللي هي النقطة هذه اللي فوق يبقى هذه 01 إذا المنحنة من تحت أجه طالع لوين؟ لفوق بالشكل اللي عندنا هذا يبقى اتجاه وين؟ إلى أعلى", "tokens": [6027, 1863, 47432, 3660, 16712, 7649, 10632, 23185, 23185, 13672, 1829, 39896, 28239, 47432, 3660, 29538, 13672, 1829, 6156, 30543, 7251, 3555, 4587, 7578, 29538, 23185, 11933, 15730, 9673, 1863, 5016, 1863, 3660, 9154, 6055, 33753, 5551, 7435, 3224, 23032, 6027, 3615, 45164, 9957, 22807, 5296, 5172, 30543, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 1975, 2655, 7435, 40294, 4032, 9957, 22807, 30731, 5551, 3615, 23942], "avg_logprob": -0.2037760443571541, "compression_ratio": 1.748299319727891, "no_speech_prob": 0.0, "words": [{"start": 600.98, "end": 601.66, "word": "النقطة", "probability": 0.903564453125}, {"start": 601.66, "end": 602.1, "word": " التانية", "probability": 0.8828125}, {"start": 602.1, "end": 602.88, "word": " 01", "probability": 0.390869140625}, {"start": 602.88, "end": 604.08, "word": " 01", "probability": 0.46826171875}, {"start": 604.08, "end": 604.8, "word": " اللي", "probability": 0.47930908203125}, {"start": 604.8, "end": 604.9, "word": " هي", "probability": 0.751953125}, {"start": 604.9, "end": 605.36, "word": " النقطة", "probability": 0.931640625}, {"start": 605.36, "end": 605.6, "word": " هذه", "probability": 0.127197265625}, {"start": 605.6, "end": 605.74, "word": " اللي", "probability": 0.94140625}, {"start": 605.74, "end": 606.46, "word": " فوق", "probability": 0.920166015625}, {"start": 606.46, "end": 607.36, "word": " يبقى", "probability": 0.9503173828125}, {"start": 607.36, "end": 607.68, "word": " هذه", "probability": 0.71337890625}, {"start": 607.68, "end": 608.46, "word": " 01", "probability": 0.927734375}, {"start": 608.46, "end": 608.94, "word": " إذا", "probability": 0.8515625}, {"start": 608.94, "end": 609.96, "word": " المنحنة", "probability": 0.859765625}, {"start": 609.96, "end": 610.48, "word": " من", "probability": 0.97607421875}, {"start": 610.48, "end": 610.88, "word": " تحت", "probability": 0.9755859375}, {"start": 610.88, "end": 611.24, "word": " أجه", "probability": 0.7825520833333334}, {"start": 611.24, "end": 611.6, "word": " طالع", "probability": 0.89208984375}, {"start": 611.6, "end": 612.46, "word": " لوين؟", "probability": 0.6521809895833334}, {"start": 612.46, "end": 613.24, "word": " لفوق", "probability": 0.9112955729166666}, {"start": 613.24, "end": 613.8, "word": " بالشكل", "probability": 0.9046223958333334}, {"start": 613.8, "end": 613.98, "word": " اللي", "probability": 0.98486328125}, {"start": 613.98, "end": 614.34, "word": " عندنا", "probability": 0.8271484375}, {"start": 614.34, "end": 614.62, "word": " هذا", "probability": 0.875}, {"start": 614.62, "end": 615.42, "word": " يبقى", "probability": 0.940185546875}, {"start": 615.42, "end": 615.94, "word": " اتجاه", "probability": 0.9781494140625}, {"start": 615.94, "end": 616.78, "word": " وين؟", "probability": 0.7828776041666666}, {"start": 616.78, "end": 617.18, "word": " إلى", "probability": 0.68505859375}, {"start": 617.18, "end": 617.72, "word": " أعلى", "probability": 0.96240234375}], "temperature": 1.0}, {"id": 29, "seek": 64758, "start": 618.3, "end": 647.58, "text": "وصلنا للنقطة هذه بعد النقطة هذه بتروح للنقطة سالب واحد وزيرو سالب واحد وزيرو اللي هي النقطة اللي عندنا هذه هي سالب واحد وزيرو يبقى جان منحنى او اجانزل زي هيك بهذا الشكل يبقى مصار الجثيم عبارة عن ايش نصف دائرة او نصف الدائرة العلوي تمام فباجي بقوله هنا the graph", "tokens": [2407, 36520, 8315, 24976, 1863, 47432, 3660, 29538, 39182, 28239, 47432, 3660, 29538, 39894, 32887, 5016, 24976, 1863, 47432, 3660, 8608, 6027, 3555, 36764, 24401, 4032, 11622, 13546, 2407, 8608, 6027, 3555, 36764, 24401, 4032, 11622, 13546, 2407, 13672, 1829, 39896, 28239, 47432, 3660, 13672, 1829, 43242, 8315, 29538, 39896, 8608, 6027, 3555, 36764, 24401, 4032, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 10874, 7649, 9154, 5016, 1863, 7578, 1975, 2407, 1975, 7435, 7649, 11622, 1211, 30767, 1829, 39896, 4117, 39627, 15730, 25124, 28820, 7251, 3555, 4587, 7578, 3714, 9381, 9640, 25724, 12984, 32640, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 8592, 8717, 9381, 5172, 11778, 16373, 25720, 1975, 2407, 8717, 9381, 5172, 32748, 16373, 25720, 18863, 1211, 45865, 46811, 10943, 6156, 3555, 26108, 1829, 4724, 39648, 3224, 34105, 264, 4295], "avg_logprob": -0.20821495873458457, "compression_ratio": 2.158139534883721, "no_speech_prob": 0.0, "words": [{"start": 618.3, "end": 618.98, "word": "وصلنا", "probability": 0.8426106770833334}, {"start": 618.98, "end": 619.66, "word": " للنقطة", "probability": 0.919189453125}, {"start": 619.66, "end": 620.06, "word": " هذه", "probability": 0.79296875}, {"start": 620.06, "end": 620.54, "word": " بعد", "probability": 0.5810546875}, {"start": 620.54, "end": 621.14, "word": " النقطة", "probability": 0.9235026041666666}, {"start": 621.14, "end": 621.54, "word": " هذه", "probability": 0.8916015625}, {"start": 621.54, "end": 621.98, "word": " بتروح", "probability": 0.7025553385416666}, {"start": 621.98, "end": 622.56, "word": " للنقطة", "probability": 0.93115234375}, {"start": 622.56, "end": 622.96, "word": " سالب", "probability": 0.5891520182291666}, {"start": 622.96, "end": 623.36, "word": " واحد", "probability": 0.98583984375}, {"start": 623.36, "end": 624.0, "word": " وزيرو", "probability": 0.68414306640625}, {"start": 624.0, "end": 624.9, "word": " سالب", "probability": 0.8206380208333334}, {"start": 624.9, "end": 625.3, "word": " واحد", "probability": 0.9892578125}, {"start": 625.3, "end": 625.82, "word": " وزيرو", "probability": 0.9781494140625}, {"start": 625.82, "end": 625.96, "word": " اللي", "probability": 0.729736328125}, {"start": 625.96, "end": 626.06, "word": " هي", "probability": 0.880859375}, {"start": 626.06, "end": 626.48, "word": " النقطة", "probability": 0.9500325520833334}, {"start": 626.48, "end": 626.66, "word": " اللي", "probability": 0.9150390625}, {"start": 626.66, "end": 627.0, "word": " عندنا", "probability": 0.6580810546875}, {"start": 627.0, "end": 627.36, "word": " هذه", "probability": 0.44775390625}, {"start": 627.36, "end": 627.7, "word": " هي", "probability": 0.294189453125}, {"start": 627.7, "end": 628.26, "word": " سالب", "probability": 0.9407552083333334}, {"start": 628.26, "end": 628.8, "word": " واحد", "probability": 0.992431640625}, {"start": 628.8, "end": 629.7, "word": " وزيرو", "probability": 0.9578857421875}, {"start": 629.7, "end": 629.98, "word": " يبقى", "probability": 0.923095703125}, {"start": 629.98, "end": 630.3, "word": " جان", "probability": 0.926025390625}, {"start": 630.3, "end": 630.98, "word": " منحنى", "probability": 0.740234375}, {"start": 630.98, "end": 631.32, "word": " او", "probability": 0.583984375}, {"start": 631.32, "end": 632.1, "word": " اجانزل", "probability": 0.863671875}, {"start": 632.1, "end": 632.52, "word": " زي", "probability": 0.892333984375}, {"start": 632.52, "end": 632.94, "word": " هيك", "probability": 0.899169921875}, {"start": 632.94, "end": 633.54, "word": " بهذا", "probability": 0.90478515625}, {"start": 633.54, "end": 634.14, "word": " الشكل", "probability": 0.989013671875}, {"start": 634.14, "end": 635.68, "word": " يبقى", "probability": 0.981201171875}, {"start": 635.68, "end": 636.18, "word": " مصار", "probability": 0.7952473958333334}, {"start": 636.18, "end": 636.68, "word": " الجثيم", "probability": 0.526611328125}, {"start": 636.68, "end": 637.06, "word": " عبارة", "probability": 0.931396484375}, {"start": 637.06, "end": 637.26, "word": " عن", "probability": 0.98046875}, {"start": 637.26, "end": 637.74, "word": " ايش", "probability": 0.671875}, {"start": 637.74, "end": 639.16, "word": " نصف", "probability": 0.8736979166666666}, {"start": 639.16, "end": 639.52, "word": " دائرة", "probability": 0.9596354166666666}, {"start": 639.52, "end": 639.76, "word": " او", "probability": 0.797607421875}, {"start": 639.76, "end": 640.44, "word": " نصف", "probability": 0.9918619791666666}, {"start": 640.44, "end": 641.38, "word": " الدائرة", "probability": 0.9342447916666666}, {"start": 641.38, "end": 642.4, "word": " العلوي", "probability": 0.93505859375}, {"start": 642.4, "end": 643.32, "word": " تمام", "probability": 0.77978515625}, {"start": 643.32, "end": 644.34, "word": " فباجي", "probability": 0.68096923828125}, {"start": 644.34, "end": 644.96, "word": " بقوله", "probability": 0.88330078125}, {"start": 644.96, "end": 645.46, "word": " هنا", "probability": 0.98681640625}, {"start": 645.46, "end": 646.76, "word": " the", "probability": 0.556640625}, {"start": 646.76, "end": 647.58, "word": " graph", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 30, "seek": 65379, "start": 650.14, "end": 653.8, "text": "is the upper half", "tokens": [271, 264, 6597, 1922], "avg_logprob": -0.47109375, "compression_ratio": 0.68, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 650.14, "end": 650.8, "word": "is", "probability": 0.1617431640625}, {"start": 650.8, "end": 651.88, "word": " the", "probability": 0.84375}, {"start": 651.88, "end": 653.0, "word": " upper", "probability": 0.87353515625}, {"start": 653.0, "end": 653.8, "word": " half", "probability": 0.85498046875}], "temperature": 1.0}, {"id": 31, "seek": 68330, "start": 656.4, "end": 683.3, "text": "النصف العلوي of the circle اللي هي من X تربيهة زائد Y تربيهة تساوي واحد خلصوا المطلوب التاني لإنه جال لجراف ال Cartesian equation on the given interval ابنجي للمطلوب التالت جالي هافلة direction of motion يبقى اتجاه الحركة وين؟", "tokens": [6027, 1863, 9381, 5172, 18863, 1211, 45865, 295, 264, 6329, 13672, 1829, 39896, 9154, 1783, 6055, 2288, 21292, 3224, 3660, 30767, 16373, 3215, 398, 6055, 2288, 21292, 3224, 3660, 6055, 3794, 995, 45865, 36764, 24401, 16490, 1211, 9381, 14407, 9673, 9566, 1211, 37746, 16712, 7649, 1829, 5296, 28814, 1863, 3224, 10874, 6027, 5296, 7435, 23557, 5172, 2423, 22478, 42434, 5367, 322, 264, 2212, 15035, 48127, 1863, 7435, 1829, 5296, 19528, 9566, 1211, 37746, 16712, 6027, 2655, 10874, 6027, 1829, 8032, 31845, 37977, 3513, 295, 5394, 7251, 3555, 4587, 7578, 1975, 2655, 7435, 40294, 21542, 31747, 3660, 4032, 9957, 22807], "avg_logprob": -0.2253125014901161, "compression_ratio": 1.5605381165919283, "no_speech_prob": 0.0, "words": [{"start": 656.4, "end": 657.16, "word": "النصف", "probability": 0.70599365234375}, {"start": 657.16, "end": 657.86, "word": " العلوي", "probability": 0.95751953125}, {"start": 657.86, "end": 659.0, "word": " of", "probability": 0.62060546875}, {"start": 659.0, "end": 660.06, "word": " the", "probability": 0.806640625}, {"start": 660.06, "end": 661.98, "word": " circle", "probability": 0.955078125}, {"start": 661.98, "end": 662.9, "word": " اللي", "probability": 0.5670166015625}, {"start": 662.9, "end": 663.14, "word": " هي", "probability": 0.73828125}, {"start": 663.14, "end": 663.58, "word": " من", "probability": 0.7333984375}, {"start": 663.58, "end": 664.06, "word": " X", "probability": 0.7421875}, {"start": 664.06, "end": 664.76, "word": " تربيهة", "probability": 0.701904296875}, {"start": 664.76, "end": 665.24, "word": " زائد", "probability": 0.8902994791666666}, {"start": 665.24, "end": 665.5, "word": " Y", "probability": 0.88623046875}, {"start": 665.5, "end": 666.12, "word": " تربيهة", "probability": 0.94208984375}, {"start": 666.12, "end": 666.64, "word": " تساوي", "probability": 0.907470703125}, {"start": 666.64, "end": 667.06, "word": " واحد", "probability": 0.98388671875}, {"start": 667.06, "end": 668.3, "word": " خلصوا", "probability": 0.75506591796875}, {"start": 668.3, "end": 668.82, "word": " المطلوب", "probability": 0.9534912109375}, {"start": 668.82, "end": 669.26, "word": " التاني", "probability": 0.9462890625}, {"start": 669.26, "end": 669.66, "word": " لإنه", "probability": 0.841064453125}, {"start": 669.66, "end": 669.86, "word": " جال", "probability": 0.773681640625}, {"start": 669.86, "end": 670.56, "word": " لجراف", "probability": 0.658905029296875}, {"start": 670.56, "end": 670.72, "word": " ال", "probability": 0.83203125}, {"start": 670.72, "end": 671.28, "word": " Cartesian", "probability": 0.67822265625}, {"start": 671.28, "end": 672.16, "word": " equation", "probability": 0.95703125}, {"start": 672.16, "end": 672.8, "word": " on", "probability": 0.77783203125}, {"start": 672.8, "end": 673.02, "word": " the", "probability": 0.921875}, {"start": 673.02, "end": 673.38, "word": " given", "probability": 0.9033203125}, {"start": 673.38, "end": 674.16, "word": " interval", "probability": 0.96484375}, {"start": 674.16, "end": 675.22, "word": " ابنجي", "probability": 0.7255859375}, {"start": 675.22, "end": 675.96, "word": " للمطلوب", "probability": 0.90361328125}, {"start": 675.96, "end": 677.0, "word": " التالت", "probability": 0.9578450520833334}, {"start": 677.0, "end": 677.88, "word": " جالي", "probability": 0.71337890625}, {"start": 677.88, "end": 678.3, "word": " هافلة", "probability": 0.6212565104166666}, {"start": 678.3, "end": 679.04, "word": " direction", "probability": 0.53662109375}, {"start": 679.04, "end": 679.54, "word": " of", "probability": 0.98291015625}, {"start": 679.54, "end": 680.5, "word": " motion", "probability": 0.97412109375}, {"start": 680.5, "end": 681.64, "word": " يبقى", "probability": 0.907470703125}, {"start": 681.64, "end": 682.08, "word": " اتجاه", "probability": 0.9156494140625}, {"start": 682.08, "end": 682.7, "word": " الحركة", "probability": 0.98876953125}, {"start": 682.7, "end": 683.3, "word": " وين؟", "probability": 0.9220377604166666}], "temperature": 1.0}, {"id": 32, "seek": 71311, "start": 684.01, "end": 713.11, "text": "عكس عقارب الساعة يبقى باجي بقول the direction of motion اتجاه الحركة is in the counter clockwise في اتجاه ضب عقارب الساعة", "tokens": [3615, 4117, 3794, 6225, 4587, 9640, 3555, 21136, 995, 27884, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 264, 3513, 295, 5394, 1975, 2655, 7435, 40294, 21542, 31747, 3660, 307, 294, 264, 5682, 35790, 8978, 1975, 2655, 7435, 40294, 48812, 3555, 6225, 4587, 9640, 3555, 21136, 995, 27884], "avg_logprob": -0.1189843748509884, "compression_ratio": 1.3484848484848484, "no_speech_prob": 0.0, "words": [{"start": 684.01, "end": 684.55, "word": "عكس", "probability": 0.8125813802083334}, {"start": 684.55, "end": 685.23, "word": " عقارب", "probability": 0.9515380859375}, {"start": 685.23, "end": 685.83, "word": " الساعة", "probability": 0.947265625}, {"start": 685.83, "end": 686.57, "word": " يبقى", "probability": 0.8487548828125}, {"start": 686.57, "end": 686.95, "word": " باجي", "probability": 0.8240559895833334}, {"start": 686.95, "end": 687.71, "word": " بقول", "probability": 0.939697265625}, {"start": 687.71, "end": 688.57, "word": " the", "probability": 0.346923828125}, {"start": 688.57, "end": 690.99, "word": " direction", "probability": 0.9775390625}, {"start": 690.99, "end": 694.43, "word": " of", "probability": 0.97216796875}, {"start": 694.43, "end": 695.33, "word": " motion", "probability": 0.97119140625}, {"start": 695.33, "end": 697.43, "word": " اتجاه", "probability": 0.8958740234375}, {"start": 697.43, "end": 700.07, "word": " الحركة", "probability": 0.9832356770833334}, {"start": 700.07, "end": 700.81, "word": " is", "probability": 0.90087890625}, {"start": 700.81, "end": 701.95, "word": " in", "probability": 0.94677734375}, {"start": 701.95, "end": 703.05, "word": " the", "probability": 0.90869140625}, {"start": 703.05, "end": 705.19, "word": " counter", "probability": 0.9248046875}, {"start": 705.19, "end": 706.65, "word": " clockwise", "probability": 0.79931640625}, {"start": 706.65, "end": 710.49, "word": " في", "probability": 0.59033203125}, {"start": 710.49, "end": 711.25, "word": " اتجاه", "probability": 0.98486328125}, {"start": 711.25, "end": 711.71, "word": " ضب", "probability": 0.975830078125}, {"start": 711.71, "end": 712.59, "word": " عقارب", "probability": 0.9708251953125}, {"start": 712.59, "end": 713.11, "word": " الساعة", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 33, "seek": 73944, "start": 717.94, "end": 739.44, "text": "المثال الثاني بيقول X يساوي T وY تساوي الجذر التربية إلى واحد ناقص T تربية وسلب واحد اقل من او يساوي T اقل من واحد", "tokens": [45340, 12984, 6027, 6024, 104, 7649, 1829, 4724, 1829, 39648, 1783, 7251, 3794, 995, 45865, 314, 4032, 56, 6055, 3794, 995, 45865, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 36764, 24401, 8717, 995, 4587, 9381, 314, 6055, 25513, 10632, 46952, 46152, 36764, 24401, 1975, 4587, 1211, 9154, 1975, 2407, 7251, 3794, 995, 45865, 314, 1975, 4587, 1211, 9154, 36764, 24401], "avg_logprob": -0.2430840154163173, "compression_ratio": 1.761061946902655, "no_speech_prob": 0.0, "words": [{"start": 717.9399999999999, "end": 719.18, "word": "المثال", "probability": 0.7454833984375}, {"start": 719.18, "end": 719.9, "word": " الثاني", "probability": 0.9273681640625}, {"start": 719.9, "end": 726.36, "word": " بيقول", "probability": 0.6540120442708334}, {"start": 726.36, "end": 726.98, "word": " X", "probability": 0.297607421875}, {"start": 726.98, "end": 727.88, "word": " يساوي", "probability": 0.763427734375}, {"start": 727.88, "end": 728.42, "word": " T", "probability": 0.873046875}, {"start": 728.42, "end": 729.98, "word": " وY", "probability": 0.560791015625}, {"start": 729.98, "end": 730.7, "word": " تساوي", "probability": 0.86669921875}, {"start": 730.7, "end": 731.2, "word": " الجذر", "probability": 0.7567545572916666}, {"start": 731.2, "end": 731.84, "word": " التربية", "probability": 0.837890625}, {"start": 731.84, "end": 732.1, "word": " إلى", "probability": 0.57373046875}, {"start": 732.1, "end": 732.58, "word": " واحد", "probability": 0.645751953125}, {"start": 732.58, "end": 733.28, "word": " ناقص", "probability": 0.957763671875}, {"start": 733.28, "end": 733.5, "word": " T", "probability": 0.89501953125}, {"start": 733.5, "end": 734.26, "word": " تربية", "probability": 0.92041015625}, {"start": 734.26, "end": 735.62, "word": " وسلب", "probability": 0.63818359375}, {"start": 735.62, "end": 736.16, "word": " واحد", "probability": 0.958251953125}, {"start": 736.16, "end": 736.64, "word": " اقل", "probability": 0.7158203125}, {"start": 736.64, "end": 736.88, "word": " من", "probability": 0.96435546875}, {"start": 736.88, "end": 737.2, "word": " او", "probability": 0.83544921875}, {"start": 737.2, "end": 737.82, "word": " يساوي", "probability": 0.921875}, {"start": 737.82, "end": 738.12, "word": " T", "probability": 0.92041015625}, {"start": 738.12, "end": 738.74, "word": " اقل", "probability": 0.96533203125}, {"start": 738.74, "end": 739.02, "word": " من", "probability": 0.99658203125}, {"start": 739.02, "end": 739.44, "word": " واحد", "probability": 0.973388671875}], "temperature": 1.0}, {"id": 34, "seek": 76154, "start": 742.18, "end": 761.54, "text": "خلّعنا في المعادلة هذه والمعادلة هذه الشكل هم بيقربوا لبعض شكلهم هيك طبعا لأ كل واحدة في شجة لكن تعالى شوف نتعرف عليهم و نشوف هذه معادلة ايش بتقرب للمعادلة اللي فوق ولا بعيدة كل البعد عنها بعدين بيقولوا solution", "tokens": [9778, 1211, 11703, 3615, 8315, 8978, 9673, 3615, 18513, 37977, 29538, 16070, 2304, 3615, 18513, 37977, 29538, 25124, 28820, 8032, 2304, 4724, 1829, 4587, 25513, 14407, 5296, 3555, 3615, 11242, 13412, 28820, 16095, 39896, 4117, 23032, 3555, 3615, 995, 5296, 10721, 28242, 36764, 24401, 3660, 8978, 13412, 7435, 3660, 44381, 37279, 6027, 7578, 13412, 38688, 8717, 2655, 3615, 28480, 25894, 16095, 4032, 8717, 8592, 38688, 29538, 20449, 18513, 37977, 1975, 1829, 8592, 39894, 4587, 25513, 5296, 19528, 3615, 18513, 37977, 13672, 1829, 6156, 30543, 49429, 45030, 25708, 3660, 28242, 29739, 22488, 18871, 11296, 39182, 9957, 4724, 1829, 39648, 14407, 3827], "avg_logprob": -0.2086943033898231, "compression_ratio": 1.8203883495145632, "no_speech_prob": 0.0, "words": [{"start": 742.18, "end": 742.72, "word": "خلّعنا", "probability": 0.6691650390625}, {"start": 742.72, "end": 742.86, "word": " في", "probability": 0.9140625}, {"start": 742.86, "end": 743.48, "word": " المعادلة", "probability": 0.96435546875}, {"start": 743.48, "end": 743.92, "word": " هذه", "probability": 0.876953125}, {"start": 743.92, "end": 745.5, "word": " والمعادلة", "probability": 0.858349609375}, {"start": 745.5, "end": 745.78, "word": " هذه", "probability": 0.82568359375}, {"start": 745.78, "end": 746.18, "word": " الشكل", "probability": 0.88330078125}, {"start": 746.18, "end": 746.34, "word": " هم", "probability": 0.764404296875}, {"start": 746.34, "end": 746.8, "word": " بيقربوا", "probability": 0.82041015625}, {"start": 746.8, "end": 747.26, "word": " لبعض", "probability": 0.8873291015625}, {"start": 747.26, "end": 748.62, "word": " شكلهم", "probability": 0.5852457682291666}, {"start": 748.62, "end": 749.24, "word": " هيك", "probability": 0.7373046875}, {"start": 749.24, "end": 749.86, "word": " طبعا", "probability": 0.881591796875}, {"start": 749.86, "end": 750.1, "word": " لأ", "probability": 0.685791015625}, {"start": 750.1, "end": 750.36, "word": " كل", "probability": 0.90771484375}, {"start": 750.36, "end": 750.84, "word": " واحدة", "probability": 0.96630859375}, {"start": 750.84, "end": 750.96, "word": " في", "probability": 0.95166015625}, {"start": 750.96, "end": 751.42, "word": " شجة", "probability": 0.8551432291666666}, {"start": 751.42, "end": 751.98, "word": " لكن", "probability": 0.783203125}, {"start": 751.98, "end": 752.46, "word": " تعالى", "probability": 0.8854166666666666}, {"start": 752.46, "end": 752.62, "word": " شوف", "probability": 0.778076171875}, {"start": 752.62, "end": 753.28, "word": " نتعرف", "probability": 0.9638671875}, {"start": 753.28, "end": 753.68, "word": " عليهم", "probability": 0.967041015625}, {"start": 753.68, "end": 753.82, "word": " و", "probability": 0.98486328125}, {"start": 753.82, "end": 754.14, "word": " نشوف", "probability": 0.85595703125}, {"start": 754.14, "end": 754.5, "word": " هذه", "probability": 0.80615234375}, {"start": 754.5, "end": 755.04, "word": " معادلة", "probability": 0.9388020833333334}, {"start": 755.04, "end": 755.28, "word": " ايش", "probability": 0.7381998697916666}, {"start": 755.28, "end": 755.74, "word": " بتقرب", "probability": 0.8202311197916666}, {"start": 755.74, "end": 756.36, "word": " للمعادلة", "probability": 0.942578125}, {"start": 756.36, "end": 756.54, "word": " اللي", "probability": 0.748046875}, {"start": 756.54, "end": 756.94, "word": " فوق", "probability": 0.961669921875}, {"start": 756.94, "end": 757.56, "word": " ولا", "probability": 0.6328125}, {"start": 757.56, "end": 758.1, "word": " بعيدة", "probability": 0.91943359375}, {"start": 758.1, "end": 758.36, "word": " كل", "probability": 0.9677734375}, {"start": 758.36, "end": 758.82, "word": " البعد", "probability": 0.9306640625}, {"start": 758.82, "end": 759.48, "word": " عنها", "probability": 0.993408203125}, {"start": 759.48, "end": 760.4, "word": " بعدين", "probability": 0.727294921875}, {"start": 760.4, "end": 760.88, "word": " بيقولوا", "probability": 0.701416015625}, {"start": 760.88, "end": 761.54, "word": " solution", "probability": 0.93603515625}], "temperature": 1.0}, {"id": 35, "seek": 80112, "start": 783.32, "end": 801.12, "text": "ولكن يبقى الخطوة الأولى بدي أحذف T بين المعادلتين بسيط X يساوي T بشيل T و بحط مكانها X يبقى صارة المعادلة Y يساوي الجذر التربية إلى 1 ناقص X تربية", "tokens": [12610, 19452, 7251, 3555, 4587, 7578, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 4724, 16254, 5551, 5016, 8848, 5172, 314, 49374, 9673, 3615, 18513, 1211, 2655, 9957, 4724, 3794, 1829, 9566, 1783, 7251, 3794, 995, 45865, 314, 4724, 8592, 26895, 314, 4032, 4724, 5016, 9566, 3714, 41361, 11296, 1783, 7251, 3555, 4587, 7578, 20328, 9640, 3660, 9673, 3615, 18513, 37977, 398, 7251, 3794, 995, 45865, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 502, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632], "avg_logprob": -0.17168445376361288, "compression_ratio": 1.6493506493506493, "no_speech_prob": 0.0, "words": [{"start": 783.32, "end": 784.0, "word": "ولكن", "probability": 0.323760986328125}, {"start": 784.0, "end": 785.26, "word": " يبقى", "probability": 0.80255126953125}, {"start": 785.26, "end": 785.84, "word": " الخطوة", "probability": 0.982666015625}, {"start": 785.84, "end": 786.84, "word": " الأولى", "probability": 0.9737955729166666}, {"start": 786.84, "end": 787.38, "word": " بدي", "probability": 0.53009033203125}, {"start": 787.38, "end": 787.92, "word": " أحذف", "probability": 0.9207763671875}, {"start": 787.92, "end": 788.1, "word": " T", "probability": 0.70263671875}, {"start": 788.1, "end": 788.48, "word": " بين", "probability": 0.99267578125}, {"start": 788.48, "end": 789.52, "word": " المعادلتين", "probability": 0.9420572916666666}, {"start": 789.52, "end": 790.18, "word": " بسيط", "probability": 0.9248046875}, {"start": 790.18, "end": 790.6, "word": " X", "probability": 0.6943359375}, {"start": 790.6, "end": 791.24, "word": " يساوي", "probability": 0.708984375}, {"start": 791.24, "end": 791.5, "word": " T", "probability": 0.97314453125}, {"start": 791.5, "end": 792.46, "word": " بشيل", "probability": 0.8411458333333334}, {"start": 792.46, "end": 792.64, "word": " T", "probability": 0.7998046875}, {"start": 792.64, "end": 792.76, "word": " و", "probability": 0.7197265625}, {"start": 792.76, "end": 793.12, "word": " بحط", "probability": 0.9093424479166666}, {"start": 793.12, "end": 793.6, "word": " مكانها", "probability": 0.98583984375}, {"start": 793.6, "end": 793.96, "word": " X", "probability": 0.98291015625}, {"start": 793.96, "end": 794.74, "word": " يبقى", "probability": 0.9381103515625}, {"start": 794.74, "end": 795.32, "word": " صارة", "probability": 0.6644694010416666}, {"start": 795.32, "end": 796.16, "word": " المعادلة", "probability": 0.975341796875}, {"start": 796.16, "end": 796.6, "word": " Y", "probability": 0.9658203125}, {"start": 796.6, "end": 797.2, "word": " يساوي", "probability": 0.9425048828125}, {"start": 797.2, "end": 797.7, "word": " الجذر", "probability": 0.9288736979166666}, {"start": 797.7, "end": 798.3, "word": " التربية", "probability": 0.7392578125}, {"start": 798.3, "end": 798.58, "word": " إلى", "probability": 0.8798828125}, {"start": 798.58, "end": 799.16, "word": " 1", "probability": 0.796875}, {"start": 799.16, "end": 800.3, "word": " ناقص", "probability": 0.93310546875}, {"start": 800.3, "end": 800.6, "word": " X", "probability": 0.98779296875}, {"start": 800.6, "end": 801.12, "word": " تربية", "probability": 0.9163411458333334}], "temperature": 1.0}, {"id": 36, "seek": 81508, "start": 801.56, "end": 815.08, "text": "أو لو ربعنا الطرفين بيصير Y تربية سوى واحد ناقص X تربية او X تربية زائد Y تربية دي سوى مين؟ اظن نفس المعادلة اللي فوق", "tokens": [10721, 2407, 45164, 12602, 3555, 3615, 8315, 41950, 28480, 9957, 4724, 1829, 9381, 13546, 398, 6055, 25513, 10632, 8608, 2407, 7578, 36764, 24401, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 1975, 2407, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 398, 6055, 25513, 10632, 11778, 1829, 8608, 2407, 7578, 3714, 9957, 22807, 1975, 19913, 1863, 8717, 36178, 9673, 3615, 18513, 37977, 13672, 1829, 6156, 30543], "avg_logprob": -0.17672821879386902, "compression_ratio": 1.5769230769230769, "no_speech_prob": 0.0, "words": [{"start": 801.56, "end": 801.92, "word": "أو", "probability": 0.78662109375}, {"start": 801.92, "end": 802.1, "word": " لو", "probability": 0.71240234375}, {"start": 802.1, "end": 802.78, "word": " ربعنا", "probability": 0.8743896484375}, {"start": 802.78, "end": 803.82, "word": " الطرفين", "probability": 0.9835611979166666}, {"start": 803.82, "end": 804.36, "word": " بيصير", "probability": 0.7415771484375}, {"start": 804.36, "end": 804.72, "word": " Y", "probability": 0.46533203125}, {"start": 804.72, "end": 805.48, "word": " تربية", "probability": 0.8707682291666666}, {"start": 805.48, "end": 806.26, "word": " سوى", "probability": 0.662109375}, {"start": 806.26, "end": 806.86, "word": " واحد", "probability": 0.900634765625}, {"start": 806.86, "end": 807.44, "word": " ناقص", "probability": 0.9464111328125}, {"start": 807.44, "end": 807.7, "word": " X", "probability": 0.9755859375}, {"start": 807.7, "end": 808.26, "word": " تربية", "probability": 0.95654296875}, {"start": 808.26, "end": 809.06, "word": " او", "probability": 0.7294921875}, {"start": 809.06, "end": 809.54, "word": " X", "probability": 0.97314453125}, {"start": 809.54, "end": 810.18, "word": " تربية", "probability": 0.9363606770833334}, {"start": 810.18, "end": 810.76, "word": " زائد", "probability": 0.86181640625}, {"start": 810.76, "end": 811.04, "word": " Y", "probability": 0.97705078125}, {"start": 811.04, "end": 811.46, "word": " تربية", "probability": 0.9759114583333334}, {"start": 811.46, "end": 811.62, "word": " دي", "probability": 0.701171875}, {"start": 811.62, "end": 812.04, "word": " سوى", "probability": 0.7111002604166666}, {"start": 812.04, "end": 813.22, "word": " مين؟", "probability": 0.72802734375}, {"start": 813.22, "end": 813.6, "word": " اظن", "probability": 0.8134765625}, {"start": 813.6, "end": 813.88, "word": " نفس", "probability": 0.9951171875}, {"start": 813.88, "end": 814.48, "word": " المعادلة", "probability": 0.9351806640625}, {"start": 814.48, "end": 814.68, "word": " اللي", "probability": 0.873291015625}, {"start": 814.68, "end": 815.08, "word": " فوق", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 37, "seek": 84156, "start": 816.06, "end": 841.56, "text": "يبقى نفس اللي فوق شكلا على الطبيعة الله يعلم لسه مش عارفين يبقى هذا ال X تربيع يبقى question of a circle with center at the origin and radius", "tokens": [1829, 3555, 4587, 7578, 8717, 36178, 13672, 1829, 6156, 30543, 13412, 28820, 995, 15844, 41950, 21292, 27884, 21984, 37495, 19528, 5296, 3794, 3224, 37893, 6225, 9640, 5172, 9957, 7251, 3555, 4587, 7578, 23758, 2423, 1783, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 1168, 295, 257, 6329, 365, 3056, 412, 264, 4957, 293, 15845], "avg_logprob": -0.21036932034925981, "compression_ratio": 1.3205128205128205, "no_speech_prob": 0.0, "words": [{"start": 816.06, "end": 816.54, "word": "يبقى", "probability": 0.855712890625}, {"start": 816.54, "end": 816.86, "word": " نفس", "probability": 0.9072265625}, {"start": 816.86, "end": 817.08, "word": " اللي", "probability": 0.752685546875}, {"start": 817.08, "end": 817.58, "word": " فوق", "probability": 0.92919921875}, {"start": 817.58, "end": 818.8, "word": " شكلا", "probability": 0.7389322916666666}, {"start": 818.8, "end": 819.42, "word": " على", "probability": 0.59033203125}, {"start": 819.42, "end": 819.92, "word": " الطبيعة", "probability": 0.9365234375}, {"start": 819.92, "end": 820.18, "word": " الله", "probability": 0.67431640625}, {"start": 820.18, "end": 820.54, "word": " يعلم", "probability": 0.6134033203125}, {"start": 820.54, "end": 820.8, "word": " لسه", "probability": 0.8251953125}, {"start": 820.8, "end": 820.94, "word": " مش", "probability": 0.76611328125}, {"start": 820.94, "end": 821.5, "word": " عارفين", "probability": 0.996337890625}, {"start": 821.5, "end": 822.4, "word": " يبقى", "probability": 0.947021484375}, {"start": 822.4, "end": 822.58, "word": " هذا", "probability": 0.261962890625}, {"start": 822.58, "end": 822.82, "word": " ال", "probability": 0.489990234375}, {"start": 822.82, "end": 822.86, "word": " X", "probability": 0.64501953125}, {"start": 822.86, "end": 823.5, "word": " تربيع", "probability": 0.784423828125}, {"start": 823.5, "end": 824.0, "word": " يبقى", "probability": 0.9705810546875}, {"start": 824.0, "end": 825.02, "word": " question", "probability": 0.7958984375}, {"start": 825.02, "end": 826.58, "word": " of", "probability": 0.41357421875}, {"start": 826.58, "end": 828.74, "word": " a", "probability": 0.95556640625}, {"start": 828.74, "end": 830.1, "word": " circle", "probability": 0.951171875}, {"start": 830.1, "end": 831.48, "word": " with", "probability": 0.91357421875}, {"start": 831.48, "end": 833.44, "word": " center", "probability": 0.7939453125}, {"start": 833.44, "end": 835.08, "word": " at", "probability": 0.96240234375}, {"start": 835.08, "end": 836.28, "word": " the", "probability": 0.87646484375}, {"start": 836.28, "end": 837.56, "word": " origin", "probability": 0.96142578125}, {"start": 837.56, "end": 839.56, "word": " and", "probability": 0.958984375}, {"start": 839.56, "end": 841.56, "word": " radius", "probability": 0.9326171875}], "temperature": 1.0}, {"id": 38, "seek": 86702, "start": 842.8, "end": 867.02, "text": "اللي هو one نصف القطر يساوي واحد صحيح الان انت هنا من المطلوب الأول بدي اجي للمطلوب الثاني بدي ااخد لو كانت ال T تساوي سالب واحد then ال X و Y بدها تساوي طلعله هنا كويس", "tokens": [6027, 20292, 31439, 472, 8717, 9381, 5172, 25062, 9566, 2288, 7251, 3794, 995, 45865, 36764, 24401, 20328, 5016, 1829, 5016, 2423, 7649, 16472, 2655, 34105, 9154, 9673, 9566, 1211, 37746, 16247, 12610, 4724, 16254, 1975, 7435, 1829, 5296, 19528, 9566, 1211, 37746, 6024, 104, 7649, 1829, 4724, 16254, 1975, 47283, 3215, 45164, 25961, 2655, 2423, 314, 6055, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401, 550, 2423, 1783, 4032, 398, 47525, 11296, 6055, 3794, 995, 45865, 23032, 1211, 30241, 3224, 34105, 9122, 45865, 3794], "avg_logprob": -0.17555146357592413, "compression_ratio": 1.7261904761904763, "no_speech_prob": 0.0, "words": [{"start": 842.8, "end": 843.1, "word": "اللي", "probability": 0.3253173828125}, {"start": 843.1, "end": 843.34, "word": " هو", "probability": 0.9619140625}, {"start": 843.34, "end": 843.62, "word": " one", "probability": 0.572265625}, {"start": 843.62, "end": 844.28, "word": " نصف", "probability": 0.8592122395833334}, {"start": 844.28, "end": 844.68, "word": " القطر", "probability": 0.9632161458333334}, {"start": 844.68, "end": 845.08, "word": " يساوي", "probability": 0.889892578125}, {"start": 845.08, "end": 845.42, "word": " واحد", "probability": 0.989990234375}, {"start": 845.42, "end": 845.92, "word": " صحيح", "probability": 0.947265625}, {"start": 845.92, "end": 847.08, "word": " الان", "probability": 0.720947265625}, {"start": 847.08, "end": 847.34, "word": " انت", "probability": 0.621826171875}, {"start": 847.34, "end": 847.6, "word": " هنا", "probability": 0.88818359375}, {"start": 847.6, "end": 847.8, "word": " من", "probability": 0.92724609375}, {"start": 847.8, "end": 848.28, "word": " المطلوب", "probability": 0.975830078125}, {"start": 848.28, "end": 848.78, "word": " الأول", "probability": 0.7529296875}, {"start": 848.78, "end": 850.2, "word": " بدي", "probability": 0.5447998046875}, {"start": 850.2, "end": 850.32, "word": " اجي", "probability": 0.7783203125}, {"start": 850.32, "end": 851.42, "word": " للمطلوب", "probability": 0.90244140625}, {"start": 851.42, "end": 852.34, "word": " الثاني", "probability": 0.9495849609375}, {"start": 852.34, "end": 853.5, "word": " بدي", "probability": 0.935546875}, {"start": 853.5, "end": 853.86, "word": " ااخد", "probability": 0.7540690104166666}, {"start": 853.86, "end": 854.18, "word": " لو", "probability": 0.962890625}, {"start": 854.18, "end": 855.2, "word": " كانت", "probability": 0.982177734375}, {"start": 855.2, "end": 855.84, "word": " ال", "probability": 0.80810546875}, {"start": 855.84, "end": 856.04, "word": " T", "probability": 0.78125}, {"start": 856.04, "end": 856.78, "word": " تساوي", "probability": 0.9593505859375}, {"start": 856.78, "end": 857.36, "word": " سالب", "probability": 0.9166666666666666}, {"start": 857.36, "end": 857.82, "word": " واحد", "probability": 0.990478515625}, {"start": 857.82, "end": 858.74, "word": " then", "probability": 0.716796875}, {"start": 858.74, "end": 861.22, "word": " ال", "probability": 0.93359375}, {"start": 861.22, "end": 861.56, "word": " X", "probability": 0.5234375}, {"start": 861.56, "end": 861.84, "word": " و", "probability": 0.69384765625}, {"start": 861.84, "end": 862.2, "word": " Y", "probability": 0.71533203125}, {"start": 862.2, "end": 864.34, "word": " بدها", "probability": 0.7568359375}, {"start": 864.34, "end": 865.02, "word": " تساوي", "probability": 0.972412109375}, {"start": 865.02, "end": 866.24, "word": " طلعله", "probability": 0.88037109375}, {"start": 866.24, "end": 866.46, "word": " هنا", "probability": 0.990234375}, {"start": 866.46, "end": 867.02, "word": " كويس", "probability": 0.9757486979166666}], "temperature": 1.0}, {"id": 39, "seek": 89417, "start": 867.85, "end": 894.17, "text": "أنا حاطي الـT بـ-1 يبقى صير سالب واحد و هنا كداش؟ Zero يبقى سالب واحد و Zero اللي بعدها لو كانت الـT مثلا تساوي Zero then XY يساوي Zero و كداش؟ واحد هنا لو كانت", "tokens": [10721, 8315, 11331, 41193, 1829, 2423, 39184, 51, 4724, 39184, 12, 16, 7251, 3555, 4587, 7578, 20328, 13546, 8608, 6027, 3555, 36764, 24401, 4032, 34105, 9122, 3215, 33599, 22807, 17182, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 36764, 24401, 4032, 17182, 13672, 1829, 39182, 11296, 45164, 25961, 2655, 2423, 39184, 51, 50113, 15040, 6055, 3794, 995, 45865, 17182, 550, 48826, 7251, 3794, 995, 45865, 17182, 4032, 9122, 3215, 33599, 22807, 36764, 24401, 34105, 45164, 25961, 2655], "avg_logprob": -0.30823862243008304, "compression_ratio": 1.6666666666666667, "no_speech_prob": 0.0, "words": [{"start": 867.85, "end": 868.17, "word": "أنا", "probability": 0.31939697265625}, {"start": 868.17, "end": 868.59, "word": " حاطي", "probability": 0.6178385416666666}, {"start": 868.59, "end": 868.83, "word": " الـT", "probability": 0.390625}, {"start": 868.83, "end": 869.03, "word": " بـ", "probability": 0.77392578125}, {"start": 869.03, "end": 869.39, "word": "-1", "probability": 0.4403076171875}, {"start": 869.39, "end": 869.61, "word": " يبقى", "probability": 0.612335205078125}, {"start": 869.61, "end": 869.85, "word": " صير", "probability": 0.51763916015625}, {"start": 869.85, "end": 870.41, "word": " سالب", "probability": 0.6583251953125}, {"start": 870.41, "end": 871.01, "word": " واحد", "probability": 0.95654296875}, {"start": 871.01, "end": 871.49, "word": " و", "probability": 0.541015625}, {"start": 871.49, "end": 871.69, "word": " هنا", "probability": 0.5048828125}, {"start": 871.69, "end": 872.47, "word": " كداش؟", "probability": 0.6373291015625}, {"start": 872.47, "end": 873.19, "word": " Zero", "probability": 0.76708984375}, {"start": 873.19, "end": 874.11, "word": " يبقى", "probability": 0.95361328125}, {"start": 874.11, "end": 874.75, "word": " سالب", "probability": 0.9593098958333334}, {"start": 874.75, "end": 875.23, "word": " واحد", "probability": 0.985595703125}, {"start": 875.23, "end": 875.43, "word": " و", "probability": 0.9697265625}, {"start": 875.43, "end": 875.71, "word": " Zero", "probability": 0.9130859375}, {"start": 875.71, "end": 876.65, "word": " اللي", "probability": 0.56842041015625}, {"start": 876.65, "end": 877.37, "word": " بعدها", "probability": 0.78515625}, {"start": 877.37, "end": 878.03, "word": " لو", "probability": 0.76953125}, {"start": 878.03, "end": 878.89, "word": " كانت", "probability": 0.975341796875}, {"start": 878.89, "end": 879.81, "word": " الـT", "probability": 0.8312174479166666}, {"start": 879.81, "end": 880.37, "word": " مثلا", "probability": 0.9873046875}, {"start": 880.37, "end": 881.11, "word": " تساوي", "probability": 0.9364013671875}, {"start": 881.11, "end": 881.65, "word": " Zero", "probability": 0.9169921875}, {"start": 881.65, "end": 883.11, "word": " then", "probability": 0.5126953125}, {"start": 883.11, "end": 885.55, "word": " XY", "probability": 0.599609375}, {"start": 885.55, "end": 887.27, "word": " يساوي", "probability": 0.9464111328125}, {"start": 887.27, "end": 888.51, "word": " Zero", "probability": 0.96826171875}, {"start": 888.51, "end": 889.35, "word": " و", "probability": 0.94970703125}, {"start": 889.35, "end": 890.33, "word": " كداش؟", "probability": 0.9459228515625}, {"start": 890.33, "end": 891.41, "word": " واحد", "probability": 0.968017578125}, {"start": 891.41, "end": 892.49, "word": " هنا", "probability": 0.8134765625}, {"start": 892.49, "end": 893.31, "word": " لو", "probability": 0.96533203125}, {"start": 893.31, "end": 894.17, "word": " كانت", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 40, "seek": 90787, "start": 894.69, "end": 907.87, "text": "الـ T تساوي واحد ثم XY تساوي بالدرجة من XY T بواحد يبقى واحد و Zero كذلك", "tokens": [6027, 39184, 314, 6055, 3794, 995, 45865, 36764, 24401, 38637, 2304, 48826, 6055, 3794, 995, 45865, 20666, 3215, 47341, 3660, 9154, 48826, 314, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 36764, 24401, 4032, 17182, 9122, 8848, 23275], "avg_logprob": -0.32298521070103897, "compression_ratio": 1.2688172043010753, "no_speech_prob": 0.0, "words": [{"start": 894.69, "end": 895.11, "word": "الـ", "probability": 0.36395263671875}, {"start": 895.11, "end": 895.35, "word": " T", "probability": 0.638671875}, {"start": 895.35, "end": 896.11, "word": " تساوي", "probability": 0.762420654296875}, {"start": 896.11, "end": 896.71, "word": " واحد", "probability": 0.918701171875}, {"start": 896.71, "end": 897.55, "word": " ثم", "probability": 0.693359375}, {"start": 897.55, "end": 899.03, "word": " XY", "probability": 0.44677734375}, {"start": 899.03, "end": 900.63, "word": " تساوي", "probability": 0.974609375}, {"start": 900.63, "end": 901.91, "word": " بالدرجة", "probability": 0.60760498046875}, {"start": 901.91, "end": 902.03, "word": " من", "probability": 0.54443359375}, {"start": 902.03, "end": 902.65, "word": " XY", "probability": 0.83544921875}, {"start": 902.65, "end": 903.15, "word": " T", "probability": 0.186279296875}, {"start": 903.15, "end": 903.77, "word": " بواحد", "probability": 0.9602864583333334}, {"start": 903.77, "end": 904.73, "word": " يبقى", "probability": 0.944580078125}, {"start": 904.73, "end": 905.53, "word": " واحد", "probability": 0.987060546875}, {"start": 905.53, "end": 906.47, "word": " و", "probability": 0.951171875}, {"start": 906.47, "end": 907.05, "word": " Zero", "probability": 0.462890625}, {"start": 907.05, "end": 907.87, "word": " كذلك", "probability": 0.98193359375}], "temperature": 1.0}, {"id": 41, "seek": 93410, "start": 908.68, "end": 934.1, "text": "طيب تعالى نرسم هذا و نرسم الشكلة يبقى لو جيت هنا و رسمت الرسمة تبعتنا هذا محور X هذا محور Y وهذه نقطة الأصل النقطة الأولى هي الهيمين اللى سالب واحد وزيرو سالب واحد وزيرو يبقى هاي سالب واحد وزيرو", "tokens": [9566, 1829, 3555, 37279, 6027, 7578, 8717, 2288, 38251, 23758, 4032, 8717, 2288, 38251, 25124, 28820, 3660, 7251, 3555, 4587, 7578, 45164, 10874, 36081, 34105, 4032, 12602, 38251, 2655, 34892, 38251, 3660, 6055, 3555, 34268, 8315, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 37037, 24192, 8717, 47432, 3660, 16247, 36520, 28239, 47432, 3660, 16247, 12610, 7578, 39896, 2423, 3224, 32640, 9957, 13672, 7578, 8608, 6027, 3555, 36764, 24401, 4032, 11622, 13546, 2407, 8608, 6027, 3555, 36764, 24401, 4032, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 8032, 47302, 8608, 6027, 3555, 36764, 24401, 4032, 11622, 13546, 2407], "avg_logprob": -0.21828124344348906, "compression_ratio": 2.1419753086419755, "no_speech_prob": 0.0, "words": [{"start": 908.68, "end": 909.02, "word": "طيب", "probability": 0.650146484375}, {"start": 909.02, "end": 909.4, "word": " تعالى", "probability": 0.9383138020833334}, {"start": 909.4, "end": 910.6, "word": " نرسم", "probability": 0.9591471354166666}, {"start": 910.6, "end": 910.94, "word": " هذا", "probability": 0.376953125}, {"start": 910.94, "end": 911.06, "word": " و", "probability": 0.81103515625}, {"start": 911.06, "end": 911.32, "word": " نرسم", "probability": 0.7918294270833334}, {"start": 911.32, "end": 912.28, "word": " الشكلة", "probability": 0.5689290364583334}, {"start": 912.28, "end": 913.1, "word": " يبقى", "probability": 0.80755615234375}, {"start": 913.1, "end": 913.32, "word": " لو", "probability": 0.76318359375}, {"start": 913.32, "end": 913.74, "word": " جيت", "probability": 0.9208984375}, {"start": 913.74, "end": 914.02, "word": " هنا", "probability": 0.97900390625}, {"start": 914.02, "end": 914.16, "word": " و", "probability": 0.984375}, {"start": 914.16, "end": 914.8, "word": " رسمت", "probability": 0.939453125}, {"start": 914.8, "end": 915.34, "word": " الرسمة", "probability": 0.9025065104166666}, {"start": 915.34, "end": 916.04, "word": " تبعتنا", "probability": 0.89697265625}, {"start": 916.04, "end": 916.76, "word": " هذا", "probability": 0.70263671875}, {"start": 916.76, "end": 917.38, "word": " محور", "probability": 0.97509765625}, {"start": 917.38, "end": 917.84, "word": " X", "probability": 0.7861328125}, {"start": 917.84, "end": 918.54, "word": " هذا", "probability": 0.564453125}, {"start": 918.54, "end": 919.14, "word": " محور", "probability": 0.9596354166666666}, {"start": 919.14, "end": 919.46, "word": " Y", "probability": 0.99072265625}, {"start": 919.46, "end": 919.8, "word": " وهذه", "probability": 0.568115234375}, {"start": 919.8, "end": 920.28, "word": " نقطة", "probability": 0.9689127604166666}, {"start": 920.28, "end": 920.76, "word": " الأصل", "probability": 0.813232421875}, {"start": 920.76, "end": 922.02, "word": " النقطة", "probability": 0.9772135416666666}, {"start": 922.02, "end": 922.36, "word": " الأولى", "probability": 0.9773763020833334}, {"start": 922.36, "end": 923.02, "word": " هي", "probability": 0.86083984375}, {"start": 923.02, "end": 924.08, "word": " الهيمين", "probability": 0.607147216796875}, {"start": 924.08, "end": 924.46, "word": " اللى", "probability": 0.3504638671875}, {"start": 924.46, "end": 925.36, "word": " سالب", "probability": 0.658203125}, {"start": 925.36, "end": 926.14, "word": " واحد", "probability": 0.95458984375}, {"start": 926.14, "end": 927.08, "word": " وزيرو", "probability": 0.7606201171875}, {"start": 927.08, "end": 928.24, "word": " سالب", "probability": 0.7959798177083334}, {"start": 928.24, "end": 928.96, "word": " واحد", "probability": 0.990478515625}, {"start": 928.96, "end": 929.9, "word": " وزيرو", "probability": 0.9805908203125}, {"start": 929.9, "end": 930.84, "word": " يبقى", "probability": 0.9375}, {"start": 930.84, "end": 931.14, "word": " هاي", "probability": 0.722900390625}, {"start": 931.14, "end": 931.78, "word": " سالب", "probability": 0.9539388020833334}, {"start": 931.78, "end": 932.52, "word": " واحد", "probability": 0.989501953125}, {"start": 932.52, "end": 934.1, "word": " وزيرو", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 42, "seek": 94644, "start": 934.84, "end": 946.44, "text": "النقطة التانية Zero واحد هي نقطة Zero واحد يبقى المنحنة او ال particle طالع الى اعلى", "tokens": [6027, 1863, 47432, 3660, 16712, 7649, 10632, 17182, 36764, 24401, 39896, 8717, 47432, 3660, 17182, 36764, 24401, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 3660, 1975, 2407, 2423, 12359, 23032, 6027, 3615, 2423, 7578, 1975, 3615, 23942], "avg_logprob": -0.4166666743082878, "compression_ratio": 1.3300970873786409, "no_speech_prob": 0.0, "words": [{"start": 934.84, "end": 935.76, "word": "النقطة", "probability": 0.8726806640625}, {"start": 935.76, "end": 936.28, "word": " التانية", "probability": 0.8614908854166666}, {"start": 936.28, "end": 936.86, "word": " Zero", "probability": 0.050994873046875}, {"start": 936.86, "end": 937.54, "word": " واحد", "probability": 0.87744140625}, {"start": 937.54, "end": 940.14, "word": " هي", "probability": 0.10162353515625}, {"start": 940.14, "end": 941.14, "word": " نقطة", "probability": 0.7290852864583334}, {"start": 941.14, "end": 941.44, "word": " Zero", "probability": 0.2890625}, {"start": 941.44, "end": 941.98, "word": " واحد", "probability": 0.97607421875}, {"start": 941.98, "end": 943.04, "word": " يبقى", "probability": 0.7825927734375}, {"start": 943.04, "end": 943.92, "word": " المنحنة", "probability": 0.7919921875}, {"start": 943.92, "end": 944.0, "word": " او", "probability": 0.610107421875}, {"start": 944.0, "end": 944.16, "word": " ال", "probability": 0.7265625}, {"start": 944.16, "end": 944.72, "word": " particle", "probability": 0.826171875}, {"start": 944.72, "end": 945.52, "word": " طالع", "probability": 0.7298177083333334}, {"start": 945.52, "end": 946.02, "word": " الى", "probability": 0.783935546875}, {"start": 946.02, "end": 946.44, "word": " اعلى", "probability": 0.91162109375}], "temperature": 1.0}, {"id": 43, "seek": 97595, "start": 947.21, "end": 975.95, "text": "بعد ذلك النقطة الأخيرة هي واحدة وزيرة واحدة وزيرة هي النقطة هذه إذا الجثيم هيجي رايح على النقطة هذه إلى أسفل يبقى الرسم عبارة عن مين؟ برضه نصف الدائرة العلوي يبقى هنا باجي بقوله the graph is the upper", "tokens": [3555, 22488, 29910, 23275, 28239, 47432, 3660, 16247, 9778, 48923, 39896, 36764, 24401, 3660, 4032, 11622, 13546, 3660, 36764, 24401, 3660, 4032, 11622, 13546, 3660, 39896, 28239, 47432, 3660, 29538, 11933, 15730, 25724, 12984, 32640, 39896, 7435, 1829, 12602, 47302, 5016, 15844, 28239, 47432, 3660, 29538, 30731, 5551, 3794, 5172, 1211, 7251, 3555, 4587, 7578, 34892, 38251, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 22807, 4724, 43042, 3224, 8717, 9381, 5172, 32748, 16373, 25720, 18863, 1211, 45865, 7251, 3555, 4587, 7578, 34105, 4724, 26108, 1829, 4724, 39648, 3224, 264, 4295, 307, 264, 6597], "avg_logprob": -0.28058510416365684, "compression_ratio": 1.782383419689119, "no_speech_prob": 0.0, "words": [{"start": 947.21, "end": 947.69, "word": "بعد", "probability": 0.7802734375}, {"start": 947.69, "end": 948.05, "word": " ذلك", "probability": 0.75146484375}, {"start": 948.05, "end": 948.55, "word": " النقطة", "probability": 0.767333984375}, {"start": 948.55, "end": 949.05, "word": " الأخيرة", "probability": 0.9482421875}, {"start": 949.05, "end": 949.27, "word": " هي", "probability": 0.60595703125}, {"start": 949.27, "end": 949.83, "word": " واحدة", "probability": 0.745849609375}, {"start": 949.83, "end": 950.35, "word": " وزيرة", "probability": 0.5689697265625}, {"start": 950.35, "end": 951.43, "word": " واحدة", "probability": 0.85498046875}, {"start": 951.43, "end": 951.87, "word": " وزيرة", "probability": 0.88330078125}, {"start": 951.87, "end": 952.05, "word": " هي", "probability": 0.260986328125}, {"start": 952.05, "end": 952.59, "word": " النقطة", "probability": 0.9347330729166666}, {"start": 952.59, "end": 953.01, "word": " هذه", "probability": 0.8291015625}, {"start": 953.01, "end": 954.17, "word": " إذا", "probability": 0.588623046875}, {"start": 954.17, "end": 955.49, "word": " الجثيم", "probability": 0.715576171875}, {"start": 955.49, "end": 956.01, "word": " هيجي", "probability": 0.7921549479166666}, {"start": 956.01, "end": 956.51, "word": " رايح", "probability": 0.87744140625}, {"start": 956.51, "end": 956.77, "word": " على", "probability": 0.8759765625}, {"start": 956.77, "end": 957.37, "word": " النقطة", "probability": 0.9451497395833334}, {"start": 957.37, "end": 957.73, "word": " هذه", "probability": 0.89404296875}, {"start": 957.73, "end": 958.03, "word": " إلى", "probability": 0.2242431640625}, {"start": 958.03, "end": 958.59, "word": " أسفل", "probability": 0.959716796875}, {"start": 958.59, "end": 959.45, "word": " يبقى", "probability": 0.9093017578125}, {"start": 959.45, "end": 959.77, "word": " الرسم", "probability": 0.923583984375}, {"start": 959.77, "end": 960.33, "word": " عبارة", "probability": 0.7218017578125}, {"start": 960.33, "end": 960.55, "word": " عن", "probability": 0.986328125}, {"start": 960.55, "end": 961.37, "word": " مين؟", "probability": 0.5989583333333334}, {"start": 961.37, "end": 962.27, "word": " برضه", "probability": 0.8419596354166666}, {"start": 962.27, "end": 962.81, "word": " نصف", "probability": 0.9153645833333334}, {"start": 962.81, "end": 963.59, "word": " الدائرة", "probability": 0.96875}, {"start": 963.59, "end": 964.51, "word": " العلوي", "probability": 0.7566731770833334}, {"start": 964.51, "end": 965.57, "word": " يبقى", "probability": 0.9478759765625}, {"start": 965.57, "end": 965.99, "word": " هنا", "probability": 0.9873046875}, {"start": 965.99, "end": 966.51, "word": " باجي", "probability": 0.6473795572916666}, {"start": 966.51, "end": 967.31, "word": " بقوله", "probability": 0.8330078125}, {"start": 967.31, "end": 967.47, "word": " the", "probability": 0.20556640625}, {"start": 967.47, "end": 968.27, "word": " graph", "probability": 0.951171875}, {"start": 968.27, "end": 973.05, "word": " is", "probability": 0.626953125}, {"start": 973.05, "end": 974.51, "word": " the", "probability": 0.91064453125}, {"start": 974.51, "end": 975.95, "word": " upper", "probability": 0.81982421875}], "temperature": 1.0}, {"id": 44, "seek": 98875, "start": 977.03, "end": 988.75, "text": "Half النصف العلوي of the circle X تربية زائد Y تربية تساوي واحد", "tokens": [39, 1678, 28239, 9381, 5172, 18863, 1211, 45865, 295, 264, 6329, 1783, 6055, 2288, 21292, 3660, 30767, 16373, 3215, 398, 6055, 2288, 21292, 3660, 6055, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.3377016225168782, "compression_ratio": 1.0777777777777777, "no_speech_prob": 0.0, "words": [{"start": 977.03, "end": 977.93, "word": "Half", "probability": 0.4941253662109375}, {"start": 977.93, "end": 979.51, "word": " النصف", "probability": 0.7430826822916666}, {"start": 979.51, "end": 980.31, "word": " العلوي", "probability": 0.9138997395833334}, {"start": 980.31, "end": 981.49, "word": " of", "probability": 0.8876953125}, {"start": 981.49, "end": 982.47, "word": " the", "probability": 0.6962890625}, {"start": 982.47, "end": 983.77, "word": " circle", "probability": 0.9501953125}, {"start": 983.77, "end": 985.31, "word": " X", "probability": 0.329833984375}, {"start": 985.31, "end": 986.13, "word": " تربية", "probability": 0.56298828125}, {"start": 986.13, "end": 986.71, "word": " زائد", "probability": 0.6621907552083334}, {"start": 986.71, "end": 986.97, "word": " Y", "probability": 0.97509765625}, {"start": 986.97, "end": 987.67, "word": " تربية", "probability": 0.938232421875}, {"start": 987.67, "end": 988.29, "word": " تساوي", "probability": 0.89306640625}, {"start": 988.29, "end": 988.75, "word": " واحد", "probability": 0.962890625}], "temperature": 1.0}, {"id": 45, "seek": 102035, "start": 992.25, "end": 1020.35, "text": "الخلاف بس في ال direction of motion يبقى احنا لو جمنا غيرنا ال T هذه او ال T اللي فوق ممكن نحصل على مين؟ على نفس الرسمة و نفس الاتجاه ماعنا مشكلة في هذه الحالة على اي حال ماعنا مشكلة يبقى الرسمة هي نفس الرسمة الخلاف بس في مين؟ في الاتجاه وبالتالي مثلنا معادلة الدائرة باكثر من parametric equations", "tokens": [6027, 9778, 15040, 5172, 4724, 3794, 8978, 2423, 3513, 295, 5394, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 45164, 10874, 2304, 8315, 32771, 13546, 8315, 2423, 314, 29538, 1975, 2407, 2423, 314, 13672, 1829, 6156, 30543, 3714, 43020, 8717, 5016, 36520, 15844, 3714, 9957, 22807, 15844, 8717, 36178, 34892, 38251, 3660, 4032, 8717, 36178, 2423, 9307, 7435, 40294, 19446, 3615, 8315, 37893, 28820, 3660, 8978, 29538, 21542, 6027, 3660, 15844, 1975, 1829, 11331, 6027, 19446, 3615, 8315, 37893, 28820, 3660, 7251, 3555, 4587, 7578, 34892, 38251, 3660, 39896, 8717, 36178, 34892, 38251, 3660, 33962, 15040, 5172, 4724, 3794, 8978, 3714, 9957, 22807, 8978, 2423, 9307, 7435, 40294, 46599, 6027, 2655, 6027, 1829, 50113, 1211, 8315, 20449, 18513, 37977, 32748, 16373, 25720, 4724, 995, 4117, 49115, 9154, 6220, 17475, 11787], "avg_logprob": -0.1725961474271921, "compression_ratio": 1.9606299212598426, "no_speech_prob": 0.0, "words": [{"start": 992.25, "end": 993.09, "word": "الخلاف", "probability": 0.8076171875}, {"start": 993.09, "end": 993.65, "word": " بس", "probability": 0.81005859375}, {"start": 993.65, "end": 993.87, "word": " في", "probability": 0.9052734375}, {"start": 993.87, "end": 993.97, "word": " ال", "probability": 0.708984375}, {"start": 993.97, "end": 994.41, "word": " direction", "probability": 0.5}, {"start": 994.41, "end": 994.71, "word": " of", "probability": 0.95947265625}, {"start": 994.71, "end": 995.19, "word": " motion", "probability": 0.9697265625}, {"start": 995.19, "end": 996.27, "word": " يبقى", "probability": 0.9168701171875}, {"start": 996.27, "end": 996.65, "word": " احنا", "probability": 0.49798583984375}, {"start": 996.65, "end": 996.83, "word": " لو", "probability": 0.896484375}, {"start": 996.83, "end": 997.15, "word": " جمنا", "probability": 0.8107096354166666}, {"start": 997.15, "end": 997.91, "word": " غيرنا", "probability": 0.7784830729166666}, {"start": 997.91, "end": 998.11, "word": " ال", "probability": 0.86474609375}, {"start": 998.11, "end": 998.33, "word": " T", "probability": 0.796875}, {"start": 998.33, "end": 998.73, "word": " هذه", "probability": 0.487548828125}, {"start": 998.73, "end": 999.05, "word": " او", "probability": 0.8935546875}, {"start": 999.05, "end": 999.23, "word": " ال", "probability": 0.89599609375}, {"start": 999.23, "end": 999.39, "word": " T", "probability": 0.68017578125}, {"start": 999.39, "end": 999.57, "word": " اللي", "probability": 0.6429443359375}, {"start": 999.57, "end": 999.87, "word": " فوق", "probability": 0.54522705078125}, {"start": 999.87, "end": 1000.39, "word": " ممكن", "probability": 0.9755859375}, {"start": 1000.39, "end": 1000.89, "word": " نحصل", "probability": 0.89404296875}, {"start": 1000.89, "end": 1001.13, "word": " على", "probability": 0.86474609375}, {"start": 1001.13, "end": 1001.67, "word": " مين؟", "probability": 0.7413736979166666}, {"start": 1001.67, "end": 1002.31, "word": " على", "probability": 0.8203125}, {"start": 1002.31, "end": 1002.71, "word": " نفس", "probability": 0.998291015625}, {"start": 1002.71, "end": 1003.37, "word": " الرسمة", "probability": 0.9373372395833334}, {"start": 1003.37, "end": 1003.55, "word": " و", "probability": 0.986328125}, {"start": 1003.55, "end": 1003.87, "word": " نفس", "probability": 0.8466796875}, {"start": 1003.87, "end": 1004.61, "word": " الاتجاه", "probability": 0.930908203125}, {"start": 1004.61, "end": 1005.41, "word": " ماعنا", "probability": 0.681396484375}, {"start": 1005.41, "end": 1005.89, "word": " مشكلة", "probability": 0.9407552083333334}, {"start": 1005.89, "end": 1005.99, "word": " في", "probability": 0.97998046875}, {"start": 1005.99, "end": 1006.21, "word": " هذه", "probability": 0.90185546875}, {"start": 1006.21, "end": 1006.65, "word": " الحالة", "probability": 0.9845377604166666}, {"start": 1006.65, "end": 1007.29, "word": " على", "probability": 0.6083984375}, {"start": 1007.29, "end": 1007.49, "word": " اي", "probability": 0.86083984375}, {"start": 1007.49, "end": 1007.91, "word": " حال", "probability": 0.998046875}, {"start": 1007.91, "end": 1008.63, "word": " ماعنا", "probability": 0.98291015625}, {"start": 1008.63, "end": 1009.15, "word": " مشكلة", "probability": 0.9830729166666666}, {"start": 1009.15, "end": 1009.49, "word": " يبقى", "probability": 0.97607421875}, {"start": 1009.49, "end": 1010.13, "word": " الرسمة", "probability": 0.9676106770833334}, {"start": 1010.13, "end": 1010.33, "word": " هي", "probability": 0.85888671875}, {"start": 1010.33, "end": 1010.75, "word": " نفس", "probability": 0.996337890625}, {"start": 1010.75, "end": 1011.23, "word": " الرسمة", "probability": 0.9835611979166666}, {"start": 1011.23, "end": 1011.65, "word": " الخلاف", "probability": 0.9407552083333334}, {"start": 1011.65, "end": 1011.93, "word": " بس", "probability": 0.99609375}, {"start": 1011.93, "end": 1012.09, "word": " في", "probability": 0.9248046875}, {"start": 1012.09, "end": 1012.71, "word": " مين؟", "probability": 0.85107421875}, {"start": 1012.71, "end": 1012.79, "word": " في", "probability": 0.6982421875}, {"start": 1012.79, "end": 1013.31, "word": " الاتجاه", "probability": 0.9630126953125}, {"start": 1013.31, "end": 1014.15, "word": " وبالتالي", "probability": 0.91767578125}, {"start": 1014.15, "end": 1014.87, "word": " مثلنا", "probability": 0.8751627604166666}, {"start": 1014.87, "end": 1015.51, "word": " معادلة", "probability": 0.9654947916666666}, {"start": 1015.51, "end": 1016.09, "word": " الدائرة", "probability": 0.9710286458333334}, {"start": 1016.09, "end": 1016.99, "word": " باكثر", "probability": 0.876953125}, {"start": 1016.99, "end": 1018.05, "word": " من", "probability": 0.984375}, {"start": 1018.05, "end": 1019.37, "word": " parametric", "probability": 0.6954345703125}, {"start": 1019.37, "end": 1020.35, "word": " equations", "probability": 0.890625}], "temperature": 1.0}, {"id": 46, "seek": 104756, "start": 1020.68, "end": 1047.56, "text": "وتسألنا في البداية هل هدول بيشبهوا بعض؟ قولنا بيجربوش لبعض، خلاص شكلهم بيجربوش لبعض، لكن عند الشغل أنا بطلع لنفس مين؟ نفس الجزء أو نفس النصف العليه من الدارة، الخلاف ال orientation بس فقط، لا غير النقطة الثالثة والاخيرة بدي الاتجاه، ايوة يبقى the direction", "tokens": [35473, 3794, 10721, 1211, 8315, 8978, 29739, 28259, 10632, 8032, 1211, 8032, 3215, 12610, 4724, 1829, 8592, 3555, 3224, 14407, 45030, 11242, 22807, 12174, 12610, 8315, 4724, 1829, 7435, 25513, 2407, 8592, 5296, 3555, 3615, 11242, 12399, 16490, 1211, 33546, 13412, 28820, 16095, 4724, 1829, 7435, 25513, 2407, 8592, 5296, 3555, 3615, 11242, 12399, 44381, 43242, 25124, 17082, 1211, 41850, 4724, 9566, 1211, 3615, 5296, 1863, 36178, 3714, 9957, 22807, 8717, 36178, 25724, 11622, 38207, 34051, 8717, 36178, 28239, 9381, 5172, 18863, 20292, 3224, 9154, 32748, 9640, 3660, 12399, 33962, 15040, 5172, 2423, 14764, 4724, 3794, 6156, 47432, 12399, 20193, 32771, 13546, 28239, 47432, 3660, 6024, 104, 6027, 12984, 3660, 16070, 47283, 48923, 4724, 16254, 2423, 9307, 7435, 40294, 12399, 1975, 1829, 2407, 3660, 7251, 3555, 4587, 7578, 264, 3513], "avg_logprob": -0.17426049550071018, "compression_ratio": 1.7588932806324111, "no_speech_prob": 0.0, "words": [{"start": 1020.68, "end": 1021.68, "word": "وتسألنا", "probability": 0.9240234375}, {"start": 1021.68, "end": 1021.76, "word": " في", "probability": 0.9384765625}, {"start": 1021.76, "end": 1022.26, "word": " البداية", "probability": 0.9884440104166666}, {"start": 1022.26, "end": 1022.56, "word": " هل", "probability": 0.933837890625}, {"start": 1022.56, "end": 1022.94, "word": " هدول", "probability": 0.8815104166666666}, {"start": 1022.94, "end": 1023.54, "word": " بيشبهوا", "probability": 0.9650065104166666}, {"start": 1023.54, "end": 1024.3, "word": " بعض؟", "probability": 0.8343098958333334}, {"start": 1024.3, "end": 1024.7, "word": " قولنا", "probability": 0.6969401041666666}, {"start": 1024.7, "end": 1025.32, "word": " بيجربوش", "probability": 0.90234375}, {"start": 1025.32, "end": 1025.84, "word": " لبعض،", "probability": 0.851318359375}, {"start": 1025.84, "end": 1026.1, "word": " خلاص", "probability": 0.9689127604166666}, {"start": 1026.1, "end": 1026.56, "word": " شكلهم", "probability": 0.8709309895833334}, {"start": 1026.56, "end": 1027.06, "word": " بيجربوش", "probability": 0.9788411458333334}, {"start": 1027.06, "end": 1027.66, "word": " لبعض،", "probability": 0.858154296875}, {"start": 1027.66, "end": 1028.12, "word": " لكن", "probability": 0.96875}, {"start": 1028.12, "end": 1028.48, "word": " عند", "probability": 0.98486328125}, {"start": 1028.48, "end": 1029.02, "word": " الشغل", "probability": 0.97998046875}, {"start": 1029.02, "end": 1029.3, "word": " أنا", "probability": 0.273681640625}, {"start": 1029.3, "end": 1029.76, "word": " بطلع", "probability": 0.839111328125}, {"start": 1029.76, "end": 1030.18, "word": " لنفس", "probability": 0.9529622395833334}, {"start": 1030.18, "end": 1031.22, "word": " مين؟", "probability": 0.849609375}, {"start": 1031.22, "end": 1031.84, "word": " نفس", "probability": 0.99169921875}, {"start": 1031.84, "end": 1032.48, "word": " الجزء", "probability": 0.94140625}, {"start": 1032.48, "end": 1032.72, "word": " أو", "probability": 0.74658203125}, {"start": 1032.72, "end": 1033.06, "word": " نفس", "probability": 0.99365234375}, {"start": 1033.06, "end": 1033.54, "word": " النصف", "probability": 0.8299153645833334}, {"start": 1033.54, "end": 1033.96, "word": " العليه", "probability": 0.794921875}, {"start": 1033.96, "end": 1034.12, "word": " من", "probability": 0.96630859375}, {"start": 1034.12, "end": 1035.2, "word": " الدارة،", "probability": 0.759765625}, {"start": 1035.2, "end": 1035.76, "word": " الخلاف", "probability": 0.9158528645833334}, {"start": 1035.76, "end": 1035.9, "word": " ال", "probability": 0.85205078125}, {"start": 1035.9, "end": 1036.58, "word": " orientation", "probability": 0.703125}, {"start": 1036.58, "end": 1037.24, "word": " بس", "probability": 0.85595703125}, {"start": 1037.24, "end": 1037.8, "word": " فقط،", "probability": 0.8053385416666666}, {"start": 1037.8, "end": 1037.9, "word": " لا", "probability": 0.82568359375}, {"start": 1037.9, "end": 1038.66, "word": " غير", "probability": 0.987060546875}, {"start": 1038.66, "end": 1039.46, "word": " النقطة", "probability": 0.8709309895833334}, {"start": 1039.46, "end": 1040.1, "word": " الثالثة", "probability": 0.881005859375}, {"start": 1040.1, "end": 1041.6, "word": " والاخيرة", "probability": 0.7047526041666666}, {"start": 1041.6, "end": 1042.46, "word": " بدي", "probability": 0.619384765625}, {"start": 1042.46, "end": 1045.48, "word": " الاتجاه،", "probability": 0.773095703125}, {"start": 1045.48, "end": 1045.98, "word": " ايوة", "probability": 0.73907470703125}, {"start": 1045.98, "end": 1046.56, "word": " يبقى", "probability": 0.89208984375}, {"start": 1046.56, "end": 1046.78, "word": " the", "probability": 0.494140625}, {"start": 1046.78, "end": 1047.56, "word": " direction", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 47, "seek": 107385, "start": 1067.78, "end": 1073.86, "text": "سؤال التالت ال X", "tokens": [3794, 33604, 6027, 16712, 6027, 2655, 2423, 1783], "avg_logprob": -0.3285590277777778, "compression_ratio": 1.037037037037037, "no_speech_prob": 0.0, "words": [{"start": 1067.78, "end": 1069.18, "word": "سؤال", "probability": 0.7909342447916666}, {"start": 1069.18, "end": 1069.92, "word": " التالت", "probability": 0.8759765625}, {"start": 1069.92, "end": 1073.44, "word": " ال", "probability": 0.54296875}, {"start": 1073.44, "end": 1073.86, "word": " X", "probability": 0.59716796875}], "temperature": 1.0}, {"id": 48, "seek": 108964, "start": 1075.16, "end": 1089.64, "text": "تساوي تلاتة T وال Y تساوي تسعة T تربيع وال T هذه محصورة ما بين infinity لغاية infinity", "tokens": [2655, 3794, 995, 45865, 6055, 1211, 9307, 3660, 314, 16070, 398, 6055, 3794, 995, 45865, 6055, 3794, 27884, 314, 6055, 25513, 40228, 16070, 314, 29538, 3714, 5016, 9381, 13063, 3660, 19446, 49374, 13202, 5296, 17082, 995, 10632, 13202], "avg_logprob": -0.19541266254889658, "compression_ratio": 1.2980769230769231, "no_speech_prob": 0.0, "words": [{"start": 1075.16, "end": 1075.94, "word": "تساوي", "probability": 0.837890625}, {"start": 1075.94, "end": 1076.88, "word": " تلاتة", "probability": 0.9510498046875}, {"start": 1076.88, "end": 1077.18, "word": " T", "probability": 0.77099609375}, {"start": 1077.18, "end": 1078.22, "word": " وال", "probability": 0.63818359375}, {"start": 1078.22, "end": 1078.62, "word": " Y", "probability": 0.41259765625}, {"start": 1078.62, "end": 1079.88, "word": " تساوي", "probability": 0.9775390625}, {"start": 1079.88, "end": 1081.4, "word": " تسعة", "probability": 0.98583984375}, {"start": 1081.4, "end": 1082.16, "word": " T", "probability": 0.386474609375}, {"start": 1082.16, "end": 1083.14, "word": " تربيع", "probability": 0.7137858072916666}, {"start": 1083.14, "end": 1084.02, "word": " وال", "probability": 0.572265625}, {"start": 1084.02, "end": 1084.4, "word": " T", "probability": 0.6337890625}, {"start": 1084.4, "end": 1085.08, "word": " هذه", "probability": 0.6796875}, {"start": 1085.08, "end": 1086.58, "word": " محصورة", "probability": 0.973046875}, {"start": 1086.58, "end": 1086.8, "word": " ما", "probability": 0.72802734375}, {"start": 1086.8, "end": 1087.14, "word": " بين", "probability": 0.98974609375}, {"start": 1087.14, "end": 1088.04, "word": " infinity", "probability": 0.54833984375}, {"start": 1088.04, "end": 1088.92, "word": " لغاية", "probability": 0.9857177734375}, {"start": 1088.92, "end": 1089.64, "word": " infinity", "probability": 0.7568359375}], "temperature": 1.0}, {"id": 49, "seek": 112558, "start": 1098.1, "end": 1125.58, "text": "يبقى بناروح نجيب العلاقة ما بين ال X والY بقت نحذف T ما بين الطرفين بنقوله بسيطة Y تساوي تسعة T تربيع أو تلاتة T لكل تربيع تلاتة T مين هي؟ X يبقى هذا معناه ان Y تساوي X تربيع ماعادتاش هذه", "tokens": [1829, 3555, 4587, 7578, 4724, 8315, 32887, 5016, 8717, 7435, 1829, 3555, 18863, 15040, 28671, 19446, 49374, 2423, 1783, 16070, 56, 4724, 38149, 8717, 5016, 8848, 5172, 314, 19446, 49374, 41950, 28480, 9957, 44945, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 398, 6055, 3794, 995, 45865, 6055, 3794, 27884, 314, 6055, 2288, 21292, 3615, 34051, 6055, 1211, 9307, 3660, 314, 5296, 28820, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 3660, 314, 3714, 9957, 39896, 22807, 1783, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 16472, 398, 6055, 3794, 995, 45865, 1783, 6055, 2288, 21292, 3615, 19446, 3615, 18513, 2655, 33599, 29538], "avg_logprob": -0.2535232889885996, "compression_ratio": 1.8457142857142856, "no_speech_prob": 0.0, "words": [{"start": 1098.1000000000001, "end": 1099.46, "word": "يبقى", "probability": 0.70404052734375}, {"start": 1099.46, "end": 1100.3, "word": " بناروح", "probability": 0.51708984375}, {"start": 1100.3, "end": 1101.22, "word": " نجيب", "probability": 0.792236328125}, {"start": 1101.22, "end": 1101.84, "word": " العلاقة", "probability": 0.9459635416666666}, {"start": 1101.84, "end": 1102.02, "word": " ما", "probability": 0.63916015625}, {"start": 1102.02, "end": 1102.26, "word": " بين", "probability": 0.98583984375}, {"start": 1102.26, "end": 1102.44, "word": " ال", "probability": 0.8701171875}, {"start": 1102.44, "end": 1102.64, "word": " X", "probability": 0.6826171875}, {"start": 1102.64, "end": 1103.0, "word": " والY", "probability": 0.641357421875}, {"start": 1103.0, "end": 1103.38, "word": " بقت", "probability": 0.4246826171875}, {"start": 1103.38, "end": 1104.06, "word": " نحذف", "probability": 0.98046875}, {"start": 1104.06, "end": 1104.36, "word": " T", "probability": 0.91845703125}, {"start": 1104.36, "end": 1105.1, "word": " ما", "probability": 0.79541015625}, {"start": 1105.1, "end": 1105.42, "word": " بين", "probability": 0.98681640625}, {"start": 1105.42, "end": 1106.28, "word": " الطرفين", "probability": 0.953125}, {"start": 1106.28, "end": 1107.2, "word": " بنقوله", "probability": 0.630126953125}, {"start": 1107.2, "end": 1107.92, "word": " بسيطة", "probability": 0.9353515625}, {"start": 1107.92, "end": 1108.16, "word": " Y", "probability": 0.48193359375}, {"start": 1108.16, "end": 1108.92, "word": " تساوي", "probability": 0.617095947265625}, {"start": 1108.92, "end": 1109.6, "word": " تسعة", "probability": 0.93310546875}, {"start": 1109.6, "end": 1109.88, "word": " T", "probability": 0.7431640625}, {"start": 1109.88, "end": 1110.68, "word": " تربيع", "probability": 0.8680419921875}, {"start": 1110.68, "end": 1111.46, "word": " أو", "probability": 0.63818359375}, {"start": 1111.46, "end": 1112.88, "word": " تلاتة", "probability": 0.96630859375}, {"start": 1112.88, "end": 1113.22, "word": " T", "probability": 0.9365234375}, {"start": 1113.22, "end": 1113.82, "word": " لكل", "probability": 0.7724609375}, {"start": 1113.82, "end": 1114.84, "word": " تربيع", "probability": 0.8955078125}, {"start": 1114.84, "end": 1116.58, "word": " تلاتة", "probability": 0.9697265625}, {"start": 1116.58, "end": 1116.76, "word": " T", "probability": 0.9599609375}, {"start": 1116.76, "end": 1117.08, "word": " مين", "probability": 0.837646484375}, {"start": 1117.08, "end": 1117.92, "word": " هي؟", "probability": 0.652099609375}, {"start": 1117.92, "end": 1118.72, "word": " X", "probability": 0.88818359375}, {"start": 1118.72, "end": 1119.52, "word": " يبقى", "probability": 0.9525146484375}, {"start": 1119.52, "end": 1119.84, "word": " هذا", "probability": 0.7392578125}, {"start": 1119.84, "end": 1120.56, "word": " معناه", "probability": 0.962890625}, {"start": 1120.56, "end": 1120.92, "word": " ان", "probability": 0.5732421875}, {"start": 1120.92, "end": 1121.6, "word": " Y", "probability": 0.93408203125}, {"start": 1121.6, "end": 1122.54, "word": " تساوي", "probability": 0.9697265625}, {"start": 1122.54, "end": 1123.1, "word": " X", "probability": 0.994140625}, {"start": 1123.1, "end": 1123.84, "word": " تربيع", "probability": 0.9267578125}, {"start": 1123.84, "end": 1125.18, "word": " ماعادتاش", "probability": 0.508447265625}, {"start": 1125.18, "end": 1125.58, "word": " هذه", "probability": 0.626953125}], "temperature": 1.0}, {"id": 50, "seek": 115340, "start": 1127.48, "end": 1153.4, "text": "أيوة white convex تربيها parabola with vertex يبقى هذه parabola with vertex at the origin and open up ومفتوحة إلى أعلى مرة تانية", "tokens": [10721, 1829, 2407, 3660, 2418, 42432, 6055, 2288, 21292, 11296, 45729, 4711, 365, 28162, 7251, 3555, 4587, 7578, 29538, 45729, 4711, 365, 28162, 412, 264, 4957, 293, 1269, 493, 4032, 2304, 5172, 2655, 2407, 5016, 3660, 30731, 5551, 3615, 23942, 3714, 25720, 6055, 7649, 10632], "avg_logprob": -0.2610394034696662, "compression_ratio": 1.255639097744361, "no_speech_prob": 0.0, "words": [{"start": 1127.48, "end": 1128.12, "word": "أيوة", "probability": 0.7998046875}, {"start": 1128.12, "end": 1128.44, "word": " white", "probability": 0.19140625}, {"start": 1128.44, "end": 1128.86, "word": " convex", "probability": 0.08233642578125}, {"start": 1128.86, "end": 1129.4, "word": " تربيها", "probability": 0.7203369140625}, {"start": 1129.4, "end": 1130.92, "word": " parabola", "probability": 0.59942626953125}, {"start": 1130.92, "end": 1131.12, "word": " with", "probability": 0.75732421875}, {"start": 1131.12, "end": 1132.18, "word": " vertex", "probability": 0.86962890625}, {"start": 1132.18, "end": 1133.28, "word": " يبقى", "probability": 0.95703125}, {"start": 1133.28, "end": 1133.76, "word": " هذه", "probability": 0.67333984375}, {"start": 1133.76, "end": 1135.7, "word": " parabola", "probability": 0.97265625}, {"start": 1135.7, "end": 1137.58, "word": " with", "probability": 0.91845703125}, {"start": 1137.58, "end": 1140.0, "word": " vertex", "probability": 0.87646484375}, {"start": 1140.0, "end": 1142.3, "word": " at", "probability": 0.9599609375}, {"start": 1142.3, "end": 1143.5, "word": " the", "probability": 0.9169921875}, {"start": 1143.5, "end": 1144.82, "word": " origin", "probability": 0.96484375}, {"start": 1144.82, "end": 1147.1, "word": " and", "probability": 0.9404296875}, {"start": 1147.1, "end": 1148.84, "word": " open", "probability": 0.923828125}, {"start": 1148.84, "end": 1149.88, "word": " up", "probability": 0.9775390625}, {"start": 1149.88, "end": 1151.64, "word": " ومفتوحة", "probability": 0.9408482142857143}, {"start": 1151.64, "end": 1151.92, "word": " إلى", "probability": 0.501953125}, {"start": 1151.92, "end": 1152.32, "word": " أعلى", "probability": 0.8819986979166666}, {"start": 1152.32, "end": 1152.98, "word": " مرة", "probability": 0.892822265625}, {"start": 1152.98, "end": 1153.4, "word": " تانية", "probability": 0.9529622395833334}], "temperature": 1.0}, {"id": 51, "seek": 118396, "start": 1154.32, "end": 1183.96, "text": "بقول why to sew extra يعني القرابل و ال vertex at the origin يبقى المنحنى عارفين و الرأس تبعه ان ده نقطة اللصوص اللي مفتوح لوين الاعلى لأن الإشارة هذه إشارة لو كان السنة اللي بصير مفتوح لوين الاسفل و ال vertex at the origin هذا المطلوب الأول المطلوب الثاني يبقى بدنا نيجي ناخد قيم مختلفة لتيم ماعنديش أول ال interval و أخر ال interval", "tokens": [3555, 39648, 983, 281, 15472, 2857, 37495, 22653, 25062, 2288, 16758, 1211, 4032, 2423, 28162, 412, 264, 4957, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 7578, 6225, 9640, 5172, 9957, 4032, 34892, 10721, 3794, 6055, 3555, 3615, 3224, 16472, 11778, 3224, 8717, 47432, 3660, 13672, 9381, 2407, 9381, 13672, 1829, 3714, 5172, 2655, 2407, 5016, 45164, 9957, 42963, 3615, 23942, 5296, 33456, 33688, 8592, 9640, 3660, 29538, 11933, 8592, 9640, 3660, 45164, 25961, 21136, 1863, 3660, 13672, 1829, 4724, 9381, 13546, 3714, 5172, 2655, 2407, 5016, 45164, 9957, 2423, 32277, 5172, 1211, 4032, 2423, 28162, 412, 264, 4957, 23758, 9673, 9566, 1211, 37746, 16247, 12610, 9673, 9566, 1211, 37746, 6024, 104, 7649, 1829, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 1829, 7435, 1829, 8717, 47283, 3215, 12174, 32640, 3714, 46456, 46538, 3660, 5296, 31371, 2304, 19446, 3615, 1863, 16254, 8592, 5551, 12610, 2423, 15035, 4032, 5551, 34740, 2423, 15035], "avg_logprob": -0.24896524599845835, "compression_ratio": 1.9672727272727273, "no_speech_prob": 0.01070404052734375, "words": [{"start": 1154.32, "end": 1154.78, "word": "بقول", "probability": 0.5927734375}, {"start": 1154.78, "end": 1155.08, "word": " why", "probability": 0.61865234375}, {"start": 1155.08, "end": 1155.38, "word": " to", "probability": 0.4541015625}, {"start": 1155.38, "end": 1155.66, "word": " sew", "probability": 0.10498046875}, {"start": 1155.66, "end": 1156.08, "word": " extra", "probability": 0.76123046875}, {"start": 1156.08, "end": 1156.3, "word": " يعني", "probability": 0.5235595703125}, {"start": 1156.3, "end": 1156.92, "word": " القرابل", "probability": 0.7625732421875}, {"start": 1156.92, "end": 1157.14, "word": " و", "probability": 0.76220703125}, {"start": 1157.14, "end": 1157.34, "word": " ال", "probability": 0.8486328125}, {"start": 1157.34, "end": 1157.96, "word": " vertex", "probability": 0.6875}, {"start": 1157.96, "end": 1158.34, "word": " at", "probability": 0.923828125}, {"start": 1158.34, "end": 1158.56, "word": " the", "probability": 0.9052734375}, {"start": 1158.56, "end": 1159.04, "word": " origin", "probability": 0.96826171875}, {"start": 1159.04, "end": 1159.92, "word": " يبقى", "probability": 0.911865234375}, {"start": 1159.92, "end": 1160.7, "word": " المنحنى", "probability": 0.891796875}, {"start": 1160.7, "end": 1161.36, "word": " عارفين", "probability": 0.93212890625}, {"start": 1161.36, "end": 1161.46, "word": " و", "probability": 0.64453125}, {"start": 1161.46, "end": 1161.82, "word": " الرأس", "probability": 0.9503580729166666}, {"start": 1161.82, "end": 1162.3, "word": " تبعه", "probability": 0.7196044921875}, {"start": 1162.3, "end": 1162.42, "word": " ان", "probability": 0.431884765625}, {"start": 1162.42, "end": 1162.54, "word": " ده", "probability": 0.855712890625}, {"start": 1162.54, "end": 1162.78, "word": " نقطة", "probability": 0.9012044270833334}, {"start": 1162.78, "end": 1163.04, "word": " اللصوص", "probability": 0.4447021484375}, {"start": 1163.04, "end": 1163.18, "word": " اللي", "probability": 0.88134765625}, {"start": 1163.18, "end": 1163.6, "word": " مفتوح", "probability": 0.914453125}, {"start": 1163.6, "end": 1164.04, "word": " لوين", "probability": 0.40380859375}, {"start": 1164.04, "end": 1164.96, "word": " الاعلى", "probability": 0.6333821614583334}, {"start": 1164.96, "end": 1165.38, "word": " لأن", "probability": 0.634765625}, {"start": 1165.38, "end": 1166.04, "word": " الإشارة", "probability": 0.9327392578125}, {"start": 1166.04, "end": 1166.3, "word": " هذه", "probability": 0.268798828125}, {"start": 1166.3, "end": 1167.04, "word": " إشارة", "probability": 0.97119140625}, {"start": 1167.04, "end": 1167.94, "word": " لو", "probability": 0.94287109375}, {"start": 1167.94, "end": 1168.24, "word": " كان", "probability": 0.97216796875}, {"start": 1168.24, "end": 1168.66, "word": " السنة", "probability": 0.6322428385416666}, {"start": 1168.66, "end": 1168.76, "word": " اللي", "probability": 0.9638671875}, {"start": 1168.76, "end": 1168.98, "word": " بصير", "probability": 0.8243815104166666}, {"start": 1168.98, "end": 1169.36, "word": " مفتوح", "probability": 0.9966796875}, {"start": 1169.36, "end": 1169.82, "word": " لوين", "probability": 0.93505859375}, {"start": 1169.82, "end": 1170.84, "word": " الاسفل", "probability": 0.77093505859375}, {"start": 1170.84, "end": 1171.0, "word": " و", "probability": 0.90478515625}, {"start": 1171.0, "end": 1171.14, "word": " ال", "probability": 0.986328125}, {"start": 1171.14, "end": 1171.64, "word": " vertex", "probability": 0.8623046875}, {"start": 1171.64, "end": 1172.2, "word": " at", "probability": 0.9521484375}, {"start": 1172.2, "end": 1172.7, "word": " the", "probability": 0.93408203125}, {"start": 1172.7, "end": 1173.2, "word": " origin", "probability": 0.94970703125}, {"start": 1173.2, "end": 1174.04, "word": " هذا", "probability": 0.9189453125}, {"start": 1174.04, "end": 1174.58, "word": " المطلوب", "probability": 0.86248779296875}, {"start": 1174.58, "end": 1174.84, "word": " الأول", "probability": 0.919189453125}, {"start": 1174.84, "end": 1175.56, "word": " المطلوب", "probability": 0.80523681640625}, {"start": 1175.56, "end": 1176.78, "word": " الثاني", "probability": 0.9788818359375}, {"start": 1176.78, "end": 1177.74, "word": " يبقى", "probability": 0.984619140625}, {"start": 1177.74, "end": 1178.08, "word": " بدنا", "probability": 0.7705078125}, {"start": 1178.08, "end": 1178.38, "word": " نيجي", "probability": 0.9686279296875}, {"start": 1178.38, "end": 1178.86, "word": " ناخد", "probability": 0.9861653645833334}, {"start": 1178.86, "end": 1179.26, "word": " قيم", "probability": 0.97412109375}, {"start": 1179.26, "end": 1180.34, "word": " مختلفة", "probability": 0.991943359375}, {"start": 1180.34, "end": 1180.96, "word": " لتيم", "probability": 0.528076171875}, {"start": 1180.96, "end": 1181.6, "word": " ماعنديش", "probability": 0.862109375}, {"start": 1181.6, "end": 1181.9, "word": " أول", "probability": 0.89453125}, {"start": 1181.9, "end": 1182.1, "word": " ال", "probability": 0.90478515625}, {"start": 1182.1, "end": 1182.58, "word": " interval", "probability": 0.89794921875}, {"start": 1182.58, "end": 1182.88, "word": " و", "probability": 0.90185546875}, {"start": 1182.88, "end": 1183.24, "word": " أخر", "probability": 0.80029296875}, {"start": 1183.24, "end": 1183.42, "word": " ال", "probability": 0.98681640625}, {"start": 1183.42, "end": 1183.96, "word": " interval", "probability": 0.8076171875}], "temperature": 1.0}, {"id": 52, "seek": 120601, "start": 1184.37, "end": 1206.01, "text": "لذالك خد أي نقطة بدك إياها خلال الـ real line كلها، لأن الـ T معرضة وين؟ على كل الـ real line، بكفني تلت نقاط، بعرف وين اتجاه وطالع، نازل، ماشي، الاخري، فمثلا، لو جيت قلت لو كانت الـ T تساوي سالب واحد، على سبيل المثال، then", "tokens": [1211, 8848, 6027, 4117, 16490, 3215, 36632, 8717, 47432, 3660, 47525, 4117, 11933, 25528, 11296, 16490, 1211, 6027, 2423, 39184, 957, 1622, 28242, 11296, 12399, 5296, 33456, 2423, 39184, 314, 20449, 43042, 3660, 4032, 9957, 22807, 15844, 28242, 2423, 39184, 957, 1622, 12399, 4724, 4117, 5172, 22653, 6055, 1211, 2655, 8717, 4587, 41193, 12399, 45030, 28480, 4032, 9957, 1975, 2655, 7435, 40294, 4032, 9566, 6027, 3615, 12399, 8717, 31377, 1211, 12399, 3714, 33599, 1829, 12399, 2423, 47283, 16572, 12399, 6156, 2304, 12984, 15040, 12399, 45164, 10874, 36081, 12174, 1211, 2655, 45164, 25961, 2655, 2423, 39184, 314, 6055, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401, 12399, 15844, 8608, 21292, 1211, 9673, 12984, 6027, 12399, 550], "avg_logprob": -0.2552532199127921, "compression_ratio": 1.676991150442478, "no_speech_prob": 0.0, "words": [{"start": 1184.37, "end": 1185.01, "word": "لذالك", "probability": 0.56134033203125}, {"start": 1185.01, "end": 1185.33, "word": " خد", "probability": 0.59716796875}, {"start": 1185.33, "end": 1185.75, "word": " أي", "probability": 0.59765625}, {"start": 1185.75, "end": 1186.37, "word": " نقطة", "probability": 0.9749348958333334}, {"start": 1186.37, "end": 1186.79, "word": " بدك", "probability": 0.752197265625}, {"start": 1186.79, "end": 1187.39, "word": " إياها", "probability": 0.8839518229166666}, {"start": 1187.39, "end": 1188.11, "word": " خلال", "probability": 0.9710286458333334}, {"start": 1188.11, "end": 1188.31, "word": " الـ", "probability": 0.70458984375}, {"start": 1188.31, "end": 1188.53, "word": " real", "probability": 0.55078125}, {"start": 1188.53, "end": 1189.03, "word": " line", "probability": 0.9287109375}, {"start": 1189.03, "end": 1189.55, "word": " كلها،", "probability": 0.6503092447916666}, {"start": 1189.55, "end": 1189.77, "word": " لأن", "probability": 0.84619140625}, {"start": 1189.77, "end": 1189.95, "word": " الـ", "probability": 0.681640625}, {"start": 1189.95, "end": 1190.03, "word": " T", "probability": 0.59375}, {"start": 1190.03, "end": 1190.75, "word": " معرضة", "probability": 0.675048828125}, {"start": 1190.75, "end": 1191.45, "word": " وين؟", "probability": 0.5944010416666666}, {"start": 1191.45, "end": 1191.65, "word": " على", "probability": 0.74365234375}, {"start": 1191.65, "end": 1192.03, "word": " كل", "probability": 0.98974609375}, {"start": 1192.03, "end": 1192.31, "word": " الـ", "probability": 0.833251953125}, {"start": 1192.31, "end": 1192.47, "word": " real", "probability": 0.8896484375}, {"start": 1192.47, "end": 1192.73, "word": " line،", "probability": 0.6728515625}, {"start": 1192.73, "end": 1193.35, "word": " بكفني", "probability": 0.7933349609375}, {"start": 1193.35, "end": 1193.73, "word": " تلت", "probability": 0.8624674479166666}, {"start": 1193.73, "end": 1194.23, "word": " نقاط،", "probability": 0.85009765625}, {"start": 1194.23, "end": 1194.57, "word": " بعرف", "probability": 0.931884765625}, {"start": 1194.57, "end": 1194.77, "word": " وين", "probability": 0.7291259765625}, {"start": 1194.77, "end": 1195.19, "word": " اتجاه", "probability": 0.759521484375}, {"start": 1195.19, "end": 1195.95, "word": " وطالع،", "probability": 0.8154296875}, {"start": 1195.95, "end": 1196.43, "word": " نازل،", "probability": 0.9315185546875}, {"start": 1196.43, "end": 1196.75, "word": " ماشي،", "probability": 0.892333984375}, {"start": 1196.75, "end": 1197.25, "word": " الاخري،", "probability": 0.56878662109375}, {"start": 1197.25, "end": 1198.65, "word": " فمثلا،", "probability": 0.8556640625}, {"start": 1198.65, "end": 1199.01, "word": " لو", "probability": 0.9560546875}, {"start": 1199.01, "end": 1199.39, "word": " جيت", "probability": 0.83056640625}, {"start": 1199.39, "end": 1199.93, "word": " قلت", "probability": 0.87109375}, {"start": 1199.93, "end": 1200.31, "word": " لو", "probability": 0.376708984375}, {"start": 1200.31, "end": 1201.05, "word": " كانت", "probability": 0.953369140625}, {"start": 1201.05, "end": 1201.29, "word": " الـ", "probability": 0.855712890625}, {"start": 1201.29, "end": 1201.51, "word": " T", "probability": 0.76611328125}, {"start": 1201.51, "end": 1202.35, "word": " تساوي", "probability": 0.9503173828125}, {"start": 1202.35, "end": 1202.91, "word": " سالب", "probability": 0.8990885416666666}, {"start": 1202.91, "end": 1203.61, "word": " واحد،", "probability": 0.8777669270833334}, {"start": 1203.61, "end": 1203.93, "word": " على", "probability": 0.9296875}, {"start": 1203.93, "end": 1204.47, "word": " سبيل", "probability": 0.9845377604166666}, {"start": 1204.47, "end": 1205.59, "word": " المثال،", "probability": 0.904052734375}, {"start": 1205.59, "end": 1206.01, "word": " then", "probability": 0.82080078125}], "temperature": 1.0}, {"id": 53, "seek": 122711, "start": 1208.2, "end": 1227.12, "text": "الـ X والـ Y بتساوي الـ T بسالب واحد يبقى سالب تلاتة والـ Y قداش تسعة اللي بعدها لو كان الـ T تساوي Zero then X وY تساوي Zero Zero مظبوط؟", "tokens": [6027, 39184, 1783, 16070, 39184, 398, 39894, 3794, 995, 45865, 2423, 39184, 314, 4724, 3794, 6027, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 16070, 39184, 398, 12174, 3215, 33599, 6055, 3794, 27884, 13672, 1829, 39182, 11296, 45164, 25961, 2423, 39184, 314, 6055, 3794, 995, 45865, 17182, 550, 1783, 4032, 56, 6055, 3794, 995, 45865, 17182, 17182, 3714, 19913, 3555, 2407, 9566, 22807], "avg_logprob": -0.24441963966403688, "compression_ratio": 1.6014492753623188, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1208.2, "end": 1208.62, "word": "الـ", "probability": 0.4208984375}, {"start": 1208.62, "end": 1208.86, "word": " X", "probability": 0.59375}, {"start": 1208.86, "end": 1209.34, "word": " والـ", "probability": 0.7049560546875}, {"start": 1209.34, "end": 1209.58, "word": " Y", "probability": 0.7529296875}, {"start": 1209.58, "end": 1210.36, "word": " بتساوي", "probability": 0.83782958984375}, {"start": 1210.36, "end": 1211.36, "word": " الـ", "probability": 0.6666259765625}, {"start": 1211.36, "end": 1211.52, "word": " T", "probability": 0.8203125}, {"start": 1211.52, "end": 1212.12, "word": " بسالب", "probability": 0.69219970703125}, {"start": 1212.12, "end": 1212.46, "word": " واحد", "probability": 0.960205078125}, {"start": 1212.46, "end": 1212.86, "word": " يبقى", "probability": 0.943603515625}, {"start": 1212.86, "end": 1213.74, "word": " سالب", "probability": 0.9658203125}, {"start": 1213.74, "end": 1214.46, "word": " تلاتة", "probability": 0.9285888671875}, {"start": 1214.46, "end": 1215.44, "word": " والـ", "probability": 0.798583984375}, {"start": 1215.44, "end": 1215.7, "word": " Y", "probability": 0.8330078125}, {"start": 1215.7, "end": 1216.46, "word": " قداش", "probability": 0.761962890625}, {"start": 1216.46, "end": 1217.52, "word": " تسعة", "probability": 0.8759765625}, {"start": 1217.52, "end": 1218.58, "word": " اللي", "probability": 0.697509765625}, {"start": 1218.58, "end": 1219.22, "word": " بعدها", "probability": 0.943603515625}, {"start": 1219.22, "end": 1219.78, "word": " لو", "probability": 0.8046875}, {"start": 1219.78, "end": 1220.24, "word": " كان", "probability": 0.99169921875}, {"start": 1220.24, "end": 1220.54, "word": " الـ", "probability": 0.703125}, {"start": 1220.54, "end": 1220.72, "word": " T", "probability": 0.8603515625}, {"start": 1220.72, "end": 1221.5, "word": " تساوي", "probability": 0.962158203125}, {"start": 1221.5, "end": 1222.08, "word": " Zero", "probability": 0.4130859375}, {"start": 1222.08, "end": 1223.04, "word": " then", "probability": 0.339599609375}, {"start": 1223.04, "end": 1224.08, "word": " X", "probability": 0.76123046875}, {"start": 1224.08, "end": 1224.7, "word": " وY", "probability": 0.806884765625}, {"start": 1224.7, "end": 1225.38, "word": " تساوي", "probability": 0.9771728515625}, {"start": 1225.38, "end": 1225.8, "word": " Zero", "probability": 0.8564453125}, {"start": 1225.8, "end": 1226.2, "word": " Zero", "probability": 0.7900390625}, {"start": 1226.2, "end": 1227.12, "word": " مظبوط؟", "probability": 0.843505859375}], "temperature": 1.0}, {"id": 54, "seek": 124223, "start": 1227.79, "end": 1242.23, "text": "نمر تلاتة لو كانت ال T تساوي واحد مثلاً، then XY يساوي، حط واحد بيصير تلاتة و كدهش؟ تلاتة وتسعة كذلك", "tokens": [1863, 29973, 6055, 1211, 9307, 3660, 45164, 25961, 2655, 2423, 314, 6055, 3794, 995, 45865, 36764, 24401, 50113, 15040, 14111, 12399, 550, 48826, 7251, 3794, 995, 45865, 12399, 11331, 9566, 36764, 24401, 4724, 1829, 9381, 13546, 6055, 1211, 9307, 3660, 4032, 9122, 3215, 3224, 8592, 22807, 6055, 1211, 9307, 3660, 34683, 3794, 27884, 9122, 8848, 23275], "avg_logprob": -0.21806469925662927, "compression_ratio": 1.4180327868852458, "no_speech_prob": 0.0, "words": [{"start": 1227.79, "end": 1228.37, "word": "نمر", "probability": 0.627685546875}, {"start": 1228.37, "end": 1229.15, "word": " تلاتة", "probability": 0.8968505859375}, {"start": 1229.15, "end": 1229.41, "word": " لو", "probability": 0.7509765625}, {"start": 1229.41, "end": 1230.09, "word": " كانت", "probability": 0.918212890625}, {"start": 1230.09, "end": 1230.31, "word": " ال", "probability": 0.5029296875}, {"start": 1230.31, "end": 1230.49, "word": " T", "probability": 0.6923828125}, {"start": 1230.49, "end": 1231.23, "word": " تساوي", "probability": 0.78289794921875}, {"start": 1231.23, "end": 1231.83, "word": " واحد", "probability": 0.907958984375}, {"start": 1231.83, "end": 1233.23, "word": " مثلاً،", "probability": 0.709228515625}, {"start": 1233.23, "end": 1233.83, "word": " then", "probability": 0.62255859375}, {"start": 1233.83, "end": 1234.99, "word": " XY", "probability": 0.61572265625}, {"start": 1234.99, "end": 1236.67, "word": " يساوي،", "probability": 0.75830078125}, {"start": 1236.67, "end": 1237.09, "word": " حط", "probability": 0.88525390625}, {"start": 1237.09, "end": 1237.67, "word": " واحد", "probability": 0.985595703125}, {"start": 1237.67, "end": 1238.33, "word": " بيصير", "probability": 0.8133544921875}, {"start": 1238.33, "end": 1239.07, "word": " تلاتة", "probability": 0.9736328125}, {"start": 1239.07, "end": 1239.15, "word": " و", "probability": 0.798828125}, {"start": 1239.15, "end": 1240.37, "word": " كدهش؟", "probability": 0.6818359375}, {"start": 1240.37, "end": 1241.03, "word": " تلاتة", "probability": 0.984130859375}, {"start": 1241.03, "end": 1241.57, "word": " وتسعة", "probability": 0.90234375}, {"start": 1241.57, "end": 1242.23, "word": " كذلك", "probability": 0.9749348958333334}], "temperature": 1.0}, {"id": 55, "seek": 127301, "start": 1243.47, "end": 1273.01, "text": "بنروح نرسم الرسم هذه يبقى لو روحنا رسمنا الرسم هذه بتاخد الشكل التالي هذا محور X محور Y هذه نقطة الأصل النقطة الأولى سالب تلاتة و بدك تطلع فوق تسعة يبقى النقطة هذه سالب تلاتة وتسعة النقطة الثانية Zero و Zero يبقى المنحنة بيجيني نازل هيك إلى أسفل", "tokens": [3555, 1863, 32887, 5016, 8717, 2288, 38251, 34892, 38251, 29538, 7251, 3555, 4587, 7578, 45164, 12602, 2407, 5016, 8315, 12602, 38251, 8315, 34892, 38251, 29538, 39894, 47283, 3215, 25124, 28820, 16712, 6027, 1829, 23758, 3714, 5016, 13063, 1783, 3714, 5016, 13063, 398, 29538, 8717, 47432, 3660, 16247, 36520, 28239, 47432, 3660, 16247, 12610, 7578, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4032, 47525, 4117, 6055, 9566, 1211, 3615, 6156, 30543, 6055, 3794, 27884, 7251, 3555, 4587, 7578, 28239, 47432, 3660, 29538, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 34683, 3794, 27884, 28239, 47432, 3660, 6024, 104, 7649, 10632, 17182, 4032, 17182, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 3660, 4724, 1829, 7435, 9957, 1829, 8717, 31377, 1211, 39896, 4117, 30731, 5551, 3794, 5172, 1211], "avg_logprob": -0.17137896446954637, "compression_ratio": 2.0917874396135265, "no_speech_prob": 0.00722503662109375, "words": [{"start": 1243.47, "end": 1244.13, "word": "بنروح", "probability": 0.495819091796875}, {"start": 1244.13, "end": 1244.51, "word": " نرسم", "probability": 0.9293619791666666}, {"start": 1244.51, "end": 1245.01, "word": " الرسم", "probability": 0.941162109375}, {"start": 1245.01, "end": 1245.49, "word": " هذه", "probability": 0.306884765625}, {"start": 1245.49, "end": 1246.05, "word": " يبقى", "probability": 0.79254150390625}, {"start": 1246.05, "end": 1246.25, "word": " لو", "probability": 0.89697265625}, {"start": 1246.25, "end": 1246.65, "word": " روحنا", "probability": 0.8192138671875}, {"start": 1246.65, "end": 1247.25, "word": " رسمنا", "probability": 0.7888997395833334}, {"start": 1247.25, "end": 1247.75, "word": " الرسم", "probability": 0.96875}, {"start": 1247.75, "end": 1248.11, "word": " هذه", "probability": 0.62548828125}, {"start": 1248.11, "end": 1248.77, "word": " بتاخد", "probability": 0.86181640625}, {"start": 1248.77, "end": 1249.37, "word": " الشكل", "probability": 0.975341796875}, {"start": 1249.37, "end": 1249.99, "word": " التالي", "probability": 0.96923828125}, {"start": 1249.99, "end": 1250.79, "word": " هذا", "probability": 0.72509765625}, {"start": 1250.79, "end": 1251.39, "word": " محور", "probability": 0.9794921875}, {"start": 1251.39, "end": 1251.93, "word": " X", "probability": 0.7392578125}, {"start": 1251.93, "end": 1252.57, "word": " محور", "probability": 0.8253580729166666}, {"start": 1252.57, "end": 1252.93, "word": " Y", "probability": 0.9892578125}, {"start": 1252.93, "end": 1253.27, "word": " هذه", "probability": 0.427490234375}, {"start": 1253.27, "end": 1253.75, "word": " نقطة", "probability": 0.9386393229166666}, {"start": 1253.75, "end": 1254.25, "word": " الأصل", "probability": 0.813720703125}, {"start": 1254.25, "end": 1255.57, "word": " النقطة", "probability": 0.9720052083333334}, {"start": 1255.57, "end": 1256.01, "word": " الأولى", "probability": 0.98388671875}, {"start": 1256.01, "end": 1256.91, "word": " سالب", "probability": 0.7010091145833334}, {"start": 1256.91, "end": 1258.05, "word": " تلاتة", "probability": 0.9140625}, {"start": 1258.05, "end": 1258.45, "word": " و", "probability": 0.7705078125}, {"start": 1258.45, "end": 1258.87, "word": " بدك", "probability": 0.7369384765625}, {"start": 1258.87, "end": 1259.45, "word": " تطلع", "probability": 0.9910888671875}, {"start": 1259.45, "end": 1260.13, "word": " فوق", "probability": 0.96337890625}, {"start": 1260.13, "end": 1260.71, "word": " تسعة", "probability": 0.9327799479166666}, {"start": 1260.71, "end": 1261.65, "word": " يبقى", "probability": 0.9658203125}, {"start": 1261.65, "end": 1262.17, "word": " النقطة", "probability": 0.9842122395833334}, {"start": 1262.17, "end": 1262.49, "word": " هذه", "probability": 0.84912109375}, {"start": 1262.49, "end": 1263.15, "word": " سالب", "probability": 0.9816080729166666}, {"start": 1263.15, "end": 1264.11, "word": " تلاتة", "probability": 0.979248046875}, {"start": 1264.11, "end": 1265.01, "word": " وتسعة", "probability": 0.8984375}, {"start": 1265.01, "end": 1266.15, "word": " النقطة", "probability": 0.982421875}, {"start": 1266.15, "end": 1266.75, "word": " الثانية", "probability": 0.9617919921875}, {"start": 1266.75, "end": 1267.57, "word": " Zero", "probability": 0.65966796875}, {"start": 1267.57, "end": 1267.93, "word": " و", "probability": 0.6201171875}, {"start": 1267.93, "end": 1268.45, "word": " Zero", "probability": 0.92822265625}, {"start": 1268.45, "end": 1269.21, "word": " يبقى", "probability": 0.9837646484375}, {"start": 1269.21, "end": 1270.01, "word": " المنحنة", "probability": 0.92705078125}, {"start": 1270.01, "end": 1270.53, "word": " بيجيني", "probability": 0.8298828125}, {"start": 1270.53, "end": 1270.99, "word": " نازل", "probability": 0.8665364583333334}, {"start": 1270.99, "end": 1271.85, "word": " هيك", "probability": 0.706298828125}, {"start": 1271.85, "end": 1272.13, "word": " إلى", "probability": 0.42138671875}, {"start": 1272.13, "end": 1273.01, "word": " أسفل", "probability": 0.9818115234375}], "temperature": 1.0}, {"id": 56, "seek": 130045, "start": 1273.55, "end": 1300.45, "text": "النقطة اللي بعدها تلاتة وتسعة يبقى هذه السالب تلاتة يبقى هنا تجيني تلاتة واطلع فوق هنا جبل هذه تماما بجين تسعة يبقى النقطة هذه تلاتة وتسعة وبالتالي المنحنة بده يطلع الى أسفل بهذا الشكل يبقى رسمنا المنحنة يبقى باجي بقوله هنا the graph", "tokens": [6027, 1863, 47432, 3660, 13672, 1829, 39182, 11296, 6055, 1211, 9307, 3660, 34683, 3794, 27884, 7251, 3555, 4587, 7578, 29538, 21136, 6027, 3555, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 34105, 6055, 7435, 9957, 1829, 6055, 1211, 9307, 3660, 4032, 41193, 1211, 3615, 6156, 30543, 34105, 10874, 36150, 29538, 46811, 10943, 995, 4724, 7435, 9957, 6055, 3794, 27884, 7251, 3555, 4587, 7578, 28239, 47432, 3660, 29538, 6055, 1211, 9307, 3660, 34683, 3794, 27884, 46599, 6027, 2655, 6027, 1829, 9673, 1863, 5016, 1863, 3660, 47525, 3224, 7251, 9566, 1211, 3615, 2423, 7578, 5551, 3794, 5172, 1211, 39627, 15730, 25124, 28820, 7251, 3555, 4587, 7578, 12602, 38251, 8315, 9673, 1863, 5016, 1863, 3660, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 264, 4295], "avg_logprob": -0.14074900675387608, "compression_ratio": 2.1116751269035534, "no_speech_prob": 0.0, "words": [{"start": 1273.55, "end": 1274.35, "word": "النقطة", "probability": 0.80322265625}, {"start": 1274.35, "end": 1274.47, "word": " اللي", "probability": 0.61572265625}, {"start": 1274.47, "end": 1274.93, "word": " بعدها", "probability": 0.72216796875}, {"start": 1274.93, "end": 1275.55, "word": " تلاتة", "probability": 0.9263916015625}, {"start": 1275.55, "end": 1276.15, "word": " وتسعة", "probability": 0.9469401041666666}, {"start": 1276.15, "end": 1276.55, "word": " يبقى", "probability": 0.8919677734375}, {"start": 1276.55, "end": 1276.83, "word": " هذه", "probability": 0.7978515625}, {"start": 1276.83, "end": 1277.43, "word": " السالب", "probability": 0.8463541666666666}, {"start": 1277.43, "end": 1278.23, "word": " تلاتة", "probability": 0.97509765625}, {"start": 1278.23, "end": 1278.95, "word": " يبقى", "probability": 0.9405517578125}, {"start": 1278.95, "end": 1279.25, "word": " هنا", "probability": 0.91162109375}, {"start": 1279.25, "end": 1279.99, "word": " تجيني", "probability": 0.7186279296875}, {"start": 1279.99, "end": 1280.81, "word": " تلاتة", "probability": 0.9847412109375}, {"start": 1280.81, "end": 1281.83, "word": " واطلع", "probability": 0.833740234375}, {"start": 1281.83, "end": 1282.29, "word": " فوق", "probability": 0.9775390625}, {"start": 1282.29, "end": 1282.59, "word": " هنا", "probability": 0.939453125}, {"start": 1282.59, "end": 1283.03, "word": " جبل", "probability": 0.5648193359375}, {"start": 1283.03, "end": 1283.41, "word": " هذه", "probability": 0.368896484375}, {"start": 1283.41, "end": 1284.19, "word": " تماما", "probability": 0.9833984375}, {"start": 1284.19, "end": 1284.89, "word": " بجين", "probability": 0.8211263020833334}, {"start": 1284.89, "end": 1285.39, "word": " تسعة", "probability": 0.82080078125}, {"start": 1285.39, "end": 1285.83, "word": " يبقى", "probability": 0.9844970703125}, {"start": 1285.83, "end": 1286.53, "word": " النقطة", "probability": 0.93896484375}, {"start": 1286.53, "end": 1286.89, "word": " هذه", "probability": 0.6572265625}, {"start": 1286.89, "end": 1287.79, "word": " تلاتة", "probability": 0.9849853515625}, {"start": 1287.79, "end": 1288.51, "word": " وتسعة", "probability": 0.9720052083333334}, {"start": 1288.51, "end": 1289.61, "word": " وبالتالي", "probability": 0.90810546875}, {"start": 1289.61, "end": 1290.31, "word": " المنحنة", "probability": 0.94765625}, {"start": 1290.31, "end": 1290.69, "word": " بده", "probability": 0.67138671875}, {"start": 1290.69, "end": 1291.29, "word": " يطلع", "probability": 0.995849609375}, {"start": 1291.29, "end": 1291.71, "word": " الى", "probability": 0.6968994140625}, {"start": 1291.71, "end": 1292.27, "word": " أسفل", "probability": 0.938720703125}, {"start": 1292.27, "end": 1293.05, "word": " بهذا", "probability": 0.92333984375}, {"start": 1293.05, "end": 1293.77, "word": " الشكل", "probability": 0.990234375}, {"start": 1293.77, "end": 1294.75, "word": " يبقى", "probability": 0.974609375}, {"start": 1294.75, "end": 1295.33, "word": " رسمنا", "probability": 0.9641927083333334}, {"start": 1295.33, "end": 1296.23, "word": " المنحنة", "probability": 0.98974609375}, {"start": 1296.23, "end": 1296.95, "word": " يبقى", "probability": 0.984375}, {"start": 1296.95, "end": 1297.35, "word": " باجي", "probability": 0.7721354166666666}, {"start": 1297.35, "end": 1297.99, "word": " بقوله", "probability": 0.91259765625}, {"start": 1297.99, "end": 1298.49, "word": " هنا", "probability": 0.9775390625}, {"start": 1298.49, "end": 1299.65, "word": " the", "probability": 0.33349609375}, {"start": 1299.65, "end": 1300.45, "word": " graph", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 57, "seek": 132252, "start": 1303.44, "end": 1322.52, "text": "is Parabola النقطة الأخيرة لأن النقطة التالتة بدنا الاتجاه حركة الجسم يبقى the particle move", "tokens": [271, 3457, 14923, 64, 28239, 47432, 3660, 16247, 9778, 48923, 5296, 33456, 28239, 47432, 3660, 16712, 6027, 2655, 3660, 47525, 8315, 2423, 9307, 7435, 40294, 11331, 31747, 3660, 25724, 38251, 7251, 3555, 4587, 7578, 264, 12359, 1286], "avg_logprob": -0.3170230169045298, "compression_ratio": 1.2719298245614035, "no_speech_prob": 0.0, "words": [{"start": 1303.4399999999998, "end": 1304.84, "word": "is", "probability": 0.09796142578125}, {"start": 1304.84, "end": 1306.24, "word": " Parabola", "probability": 0.5966796875}, {"start": 1306.24, "end": 1308.12, "word": " النقطة", "probability": 0.8898111979166666}, {"start": 1308.12, "end": 1308.66, "word": " الأخيرة", "probability": 0.9288736979166666}, {"start": 1308.66, "end": 1308.98, "word": " لأن", "probability": 0.3797607421875}, {"start": 1308.98, "end": 1309.36, "word": " النقطة", "probability": 0.8107096354166666}, {"start": 1309.36, "end": 1310.0, "word": " التالتة", "probability": 0.9600830078125}, {"start": 1310.0, "end": 1310.42, "word": " بدنا", "probability": 0.90869140625}, {"start": 1310.42, "end": 1311.18, "word": " الاتجاه", "probability": 0.80517578125}, {"start": 1311.18, "end": 1312.04, "word": " حركة", "probability": 0.8919270833333334}, {"start": 1312.04, "end": 1312.82, "word": " الجسم", "probability": 0.86865234375}, {"start": 1312.82, "end": 1315.08, "word": " يبقى", "probability": 0.9705810546875}, {"start": 1315.08, "end": 1317.72, "word": " the", "probability": 0.475830078125}, {"start": 1317.72, "end": 1318.84, "word": " particle", "probability": 0.90380859375}, {"start": 1318.84, "end": 1322.52, "word": " move", "probability": 0.450927734375}], "temperature": 1.0}, {"id": 58, "seek": 135053, "start": 1323.79, "end": 1350.53, "text": "طبعاً مش عند النقطين هذوله بس شباب بظل هذا ماشي إلى ما شاء الله و هذا ماشي إلى ما شاء الله بهذا الشكل يبقى the particle move on the left على الشجة الشمال from above to down يبقى من أعلى إلى أسفل until", "tokens": [9566, 3555, 3615, 995, 14111, 37893, 43242, 28239, 47432, 9957, 8032, 8848, 12610, 3224, 4724, 3794, 13412, 3555, 16758, 4724, 19913, 1211, 23758, 3714, 33599, 1829, 30731, 19446, 13412, 16606, 21984, 4032, 23758, 3714, 33599, 1829, 30731, 19446, 13412, 16606, 21984, 39627, 15730, 25124, 28820, 7251, 3555, 4587, 7578, 264, 12359, 1286, 322, 264, 1411, 15844, 25124, 7435, 3660, 25124, 2304, 6027, 490, 3673, 281, 760, 7251, 3555, 4587, 7578, 9154, 5551, 3615, 23942, 30731, 5551, 3794, 5172, 1211, 1826], "avg_logprob": -0.25636572896698373, "compression_ratio": 1.7065217391304348, "no_speech_prob": 0.0, "words": [{"start": 1323.79, "end": 1324.23, "word": "طبعاً", "probability": 0.672412109375}, {"start": 1324.23, "end": 1324.39, "word": " مش", "probability": 0.59814453125}, {"start": 1324.39, "end": 1324.65, "word": " عند", "probability": 0.7236328125}, {"start": 1324.65, "end": 1325.15, "word": " النقطين", "probability": 0.7967122395833334}, {"start": 1325.15, "end": 1325.53, "word": " هذوله", "probability": 0.4644775390625}, {"start": 1325.53, "end": 1325.75, "word": " بس", "probability": 0.954345703125}, {"start": 1325.75, "end": 1326.15, "word": " شباب", "probability": 0.747802734375}, {"start": 1326.15, "end": 1326.53, "word": " بظل", "probability": 0.5862630208333334}, {"start": 1326.53, "end": 1326.77, "word": " هذا", "probability": 0.457763671875}, {"start": 1326.77, "end": 1327.21, "word": " ماشي", "probability": 0.9148763020833334}, {"start": 1327.21, "end": 1327.39, "word": " إلى", "probability": 0.62744140625}, {"start": 1327.39, "end": 1327.65, "word": " ما", "probability": 0.955078125}, {"start": 1327.65, "end": 1327.93, "word": " شاء", "probability": 0.9765625}, {"start": 1327.93, "end": 1328.35, "word": " الله", "probability": 0.96044921875}, {"start": 1328.35, "end": 1328.51, "word": " و", "probability": 0.495361328125}, {"start": 1328.51, "end": 1328.67, "word": " هذا", "probability": 0.77587890625}, {"start": 1328.67, "end": 1329.07, "word": " ماشي", "probability": 0.8824869791666666}, {"start": 1329.07, "end": 1329.21, "word": " إلى", "probability": 0.955078125}, {"start": 1329.21, "end": 1329.39, "word": " ما", "probability": 0.98388671875}, {"start": 1329.39, "end": 1329.65, "word": " شاء", "probability": 0.9921875}, {"start": 1329.65, "end": 1329.85, "word": " الله", "probability": 0.9375}, {"start": 1329.85, "end": 1330.17, "word": " بهذا", "probability": 0.6038818359375}, {"start": 1330.17, "end": 1330.61, "word": " الشكل", "probability": 0.9921875}, {"start": 1330.61, "end": 1332.29, "word": " يبقى", "probability": 0.97265625}, {"start": 1332.29, "end": 1332.45, "word": " the", "probability": 0.1854248046875}, {"start": 1332.45, "end": 1332.83, "word": " particle", "probability": 0.88671875}, {"start": 1332.83, "end": 1333.59, "word": " move", "probability": 0.83056640625}, {"start": 1333.59, "end": 1335.01, "word": " on", "probability": 0.88427734375}, {"start": 1335.01, "end": 1336.31, "word": " the", "probability": 0.90283203125}, {"start": 1336.31, "end": 1337.75, "word": " left", "probability": 0.84716796875}, {"start": 1337.75, "end": 1338.05, "word": " على", "probability": 0.7080078125}, {"start": 1338.05, "end": 1338.65, "word": " الشجة", "probability": 0.8180338541666666}, {"start": 1338.65, "end": 1339.27, "word": " الشمال", "probability": 0.97509765625}, {"start": 1339.27, "end": 1340.41, "word": " from", "probability": 0.87841796875}, {"start": 1340.41, "end": 1342.47, "word": " above", "probability": 0.9443359375}, {"start": 1342.47, "end": 1344.21, "word": " to", "probability": 0.9775390625}, {"start": 1344.21, "end": 1345.49, "word": " down", "probability": 0.88232421875}, {"start": 1345.49, "end": 1347.01, "word": " يبقى", "probability": 0.9608154296875}, {"start": 1347.01, "end": 1347.21, "word": " من", "probability": 0.990234375}, {"start": 1347.21, "end": 1347.87, "word": " أعلى", "probability": 0.9500325520833334}, {"start": 1347.87, "end": 1348.49, "word": " إلى", "probability": 0.83642578125}, {"start": 1348.49, "end": 1349.25, "word": " أسفل", "probability": 0.987548828125}, {"start": 1349.25, "end": 1350.53, "word": " until", "probability": 0.82470703125}], "temperature": 1.0}, {"id": 59, "seek": 137763, "start": 1352.99, "end": 1377.63, "text": "the original حتى نقطة الأصل and then و من ثم moves from down to up on the right على الشجرة اليمين", "tokens": [3322, 3380, 11331, 49975, 8717, 47432, 3660, 16247, 36520, 293, 550, 4032, 9154, 38637, 2304, 6067, 490, 760, 281, 493, 322, 264, 558, 15844, 25124, 7435, 25720, 2423, 32640, 9957], "avg_logprob": -0.2815020180517627, "compression_ratio": 1.1120689655172413, "no_speech_prob": 0.0, "words": [{"start": 1352.99, "end": 1353.27, "word": "the", "probability": 0.059722900390625}, {"start": 1353.27, "end": 1353.89, "word": " original", "probability": 0.78369140625}, {"start": 1353.89, "end": 1355.65, "word": " حتى", "probability": 0.788330078125}, {"start": 1355.65, "end": 1356.47, "word": " نقطة", "probability": 0.91259765625}, {"start": 1356.47, "end": 1357.13, "word": " الأصل", "probability": 0.773193359375}, {"start": 1357.13, "end": 1358.71, "word": " and", "probability": 0.74951171875}, {"start": 1358.71, "end": 1360.15, "word": " then", "probability": 0.82666015625}, {"start": 1360.15, "end": 1360.65, "word": " و", "probability": 0.97509765625}, {"start": 1360.65, "end": 1360.97, "word": " من", "probability": 0.58935546875}, {"start": 1360.97, "end": 1361.73, "word": " ثم", "probability": 0.984375}, {"start": 1361.73, "end": 1363.35, "word": " moves", "probability": 0.6162109375}, {"start": 1363.35, "end": 1366.79, "word": " from", "probability": 0.73974609375}, {"start": 1366.79, "end": 1369.89, "word": " down", "probability": 0.8525390625}, {"start": 1369.89, "end": 1371.41, "word": " to", "probability": 0.9833984375}, {"start": 1371.41, "end": 1371.85, "word": " up", "probability": 0.9833984375}, {"start": 1371.85, "end": 1374.79, "word": " on", "probability": 0.8310546875}, {"start": 1374.79, "end": 1375.53, "word": " the", "probability": 0.9326171875}, {"start": 1375.53, "end": 1376.03, "word": " right", "probability": 0.93310546875}, {"start": 1376.03, "end": 1376.59, "word": " على", "probability": 0.73583984375}, {"start": 1376.59, "end": 1377.17, "word": " الشجرة", "probability": 0.8208821614583334}, {"start": 1377.17, "end": 1377.63, "word": " اليمين", "probability": 0.8424479166666666}], "temperature": 1.0}, {"id": 60, "seek": 142281, "start": 1420.83, "end": 1422.81, "text": "سؤال الرابع", "tokens": [3794, 33604, 6027, 34892, 16758, 3615], "avg_logprob": -0.06710379251411983, "compression_ratio": 0.75, "no_speech_prob": 0.0, "words": [{"start": 1420.83, "end": 1422.23, "word": "سؤال", "probability": 0.91650390625}, {"start": 1422.23, "end": 1422.81, "word": " الرابع", "probability": 0.9874674479166666}], "temperature": 1.0}, {"id": 61, "seek": 145445, "start": 1425.53, "end": 1454.45, "text": "بقول X يساوي أربع صين T وY يساوي خمسة قصين T وT من عند الصفر لغاية اثنين باي يلا بدنا نحذف T بين المعادلتين حد يعرف يقولي كيف؟", "tokens": [3555, 39648, 1783, 7251, 3794, 995, 45865, 5551, 25513, 3615, 20328, 9957, 314, 4032, 56, 7251, 3794, 995, 45865, 16490, 2304, 3794, 3660, 12174, 9381, 9957, 314, 4032, 51, 9154, 43242, 31767, 5172, 2288, 5296, 17082, 995, 10632, 1975, 12984, 1863, 9957, 4724, 995, 1829, 7251, 15040, 47525, 8315, 8717, 5016, 8848, 5172, 314, 49374, 9673, 3615, 18513, 1211, 2655, 9957, 11331, 3215, 37495, 28480, 7251, 39648, 1829, 9122, 33911, 22807], "avg_logprob": -0.2979600661330753, "compression_ratio": 1.5314685314685315, "no_speech_prob": 0.0, "words": [{"start": 1425.53, "end": 1426.07, "word": "بقول", "probability": 0.4781494140625}, {"start": 1426.07, "end": 1426.63, "word": " X", "probability": 0.429443359375}, {"start": 1426.63, "end": 1427.71, "word": " يساوي", "probability": 0.6645965576171875}, {"start": 1427.71, "end": 1428.41, "word": " أربع", "probability": 0.6493326822916666}, {"start": 1428.41, "end": 1429.15, "word": " صين", "probability": 0.598388671875}, {"start": 1429.15, "end": 1429.59, "word": " T", "probability": 0.8896484375}, {"start": 1429.59, "end": 1430.93, "word": " وY", "probability": 0.457763671875}, {"start": 1430.93, "end": 1431.77, "word": " يساوي", "probability": 0.9647216796875}, {"start": 1431.77, "end": 1433.05, "word": " خمسة", "probability": 0.95751953125}, {"start": 1433.05, "end": 1433.99, "word": " قصين", "probability": 0.7456868489583334}, {"start": 1433.99, "end": 1434.53, "word": " T", "probability": 0.94287109375}, {"start": 1434.53, "end": 1435.99, "word": " وT", "probability": 0.712890625}, {"start": 1435.99, "end": 1436.71, "word": " من", "probability": 0.88525390625}, {"start": 1436.71, "end": 1437.13, "word": " عند", "probability": 0.587890625}, {"start": 1437.13, "end": 1437.87, "word": " الصفر", "probability": 0.87744140625}, {"start": 1437.87, "end": 1438.83, "word": " لغاية", "probability": 0.97998046875}, {"start": 1438.83, "end": 1439.49, "word": " اثنين", "probability": 0.84326171875}, {"start": 1439.49, "end": 1440.99, "word": " باي", "probability": 0.4774983723958333}, {"start": 1440.99, "end": 1448.75, "word": " يلا", "probability": 0.600830078125}, {"start": 1448.75, "end": 1449.07, "word": " بدنا", "probability": 0.537109375}, {"start": 1449.07, "end": 1449.45, "word": " نحذف", "probability": 0.9874267578125}, {"start": 1449.45, "end": 1449.63, "word": " T", "probability": 0.95166015625}, {"start": 1449.63, "end": 1449.95, "word": " بين", "probability": 0.984375}, {"start": 1449.95, "end": 1450.93, "word": " المعادلتين", "probability": 0.8853759765625}, {"start": 1450.93, "end": 1453.31, "word": " حد", "probability": 0.71728515625}, {"start": 1453.31, "end": 1453.55, "word": " يعرف", "probability": 0.66748046875}, {"start": 1453.55, "end": 1453.91, "word": " يقولي", "probability": 0.7827962239583334}, {"start": 1453.91, "end": 1454.45, "word": " كيف؟", "probability": 0.93212890625}], "temperature": 1.0}, {"id": 62, "seek": 148745, "start": 1458.69, "end": 1487.45, "text": "هذه قصة بتطوّر بس فاكر كويس تقدر تخلّيه للشك الليمين صين و كوسين فقط بدون أرقام و بالربع يبقى هنا بقدر أقول النقطة I هذه بقدر نكتب X على أربعة تساوي صين T وهذه Y على خمسة يساوي كوسين T", "tokens": [3224, 24192, 12174, 9381, 3660, 39894, 9566, 2407, 11703, 2288, 4724, 3794, 6156, 995, 37983, 9122, 45865, 3794, 6055, 28543, 2288, 6055, 9778, 1211, 11703, 1829, 3224, 24976, 8592, 4117, 13672, 32640, 9957, 20328, 9957, 4032, 9122, 41779, 9957, 6156, 47432, 47525, 11536, 5551, 2288, 4587, 10943, 4032, 20666, 25513, 3615, 7251, 3555, 4587, 7578, 34105, 4724, 28543, 2288, 5551, 39648, 28239, 47432, 3660, 286, 29538, 4724, 28543, 2288, 8717, 4117, 2655, 3555, 1783, 15844, 5551, 25513, 27884, 6055, 3794, 995, 45865, 20328, 9957, 314, 37037, 24192, 398, 15844, 16490, 2304, 3794, 3660, 7251, 3794, 995, 45865, 9122, 41779, 9957, 314], "avg_logprob": -0.3068321224521188, "compression_ratio": 1.7234042553191489, "no_speech_prob": 0.0, "words": [{"start": 1458.69, "end": 1459.07, "word": "هذه", "probability": 0.569580078125}, {"start": 1459.07, "end": 1459.37, "word": " قصة", "probability": 0.8419596354166666}, {"start": 1459.37, "end": 1460.01, "word": " بتطوّر", "probability": 0.5265625}, {"start": 1460.01, "end": 1462.19, "word": " بس", "probability": 0.392669677734375}, {"start": 1462.19, "end": 1462.41, "word": " فاكر", "probability": 0.810546875}, {"start": 1462.41, "end": 1463.11, "word": " كويس", "probability": 0.8544921875}, {"start": 1463.11, "end": 1465.17, "word": " تقدر", "probability": 0.8167317708333334}, {"start": 1465.17, "end": 1465.77, "word": " تخلّيه", "probability": 0.678466796875}, {"start": 1465.77, "end": 1466.23, "word": " للشك", "probability": 0.6633707682291666}, {"start": 1466.23, "end": 1466.77, "word": " الليمين", "probability": 0.74365234375}, {"start": 1466.77, "end": 1467.19, "word": " صين", "probability": 0.56103515625}, {"start": 1467.19, "end": 1467.35, "word": " و", "probability": 0.9423828125}, {"start": 1467.35, "end": 1467.83, "word": " كوسين", "probability": 0.6787109375}, {"start": 1467.83, "end": 1468.31, "word": " فقط", "probability": 0.978515625}, {"start": 1468.31, "end": 1468.65, "word": " بدون", "probability": 0.982177734375}, {"start": 1468.65, "end": 1469.23, "word": " أرقام", "probability": 0.9617919921875}, {"start": 1469.23, "end": 1471.03, "word": " و", "probability": 0.434326171875}, {"start": 1471.03, "end": 1471.75, "word": " بالربع", "probability": 0.764892578125}, {"start": 1471.75, "end": 1472.99, "word": " يبقى", "probability": 0.9580078125}, {"start": 1472.99, "end": 1473.35, "word": " هنا", "probability": 0.984375}, {"start": 1473.35, "end": 1473.95, "word": " بقدر", "probability": 0.9376627604166666}, {"start": 1473.95, "end": 1474.55, "word": " أقول", "probability": 0.753173828125}, {"start": 1474.55, "end": 1475.85, "word": " النقطة", "probability": 0.958984375}, {"start": 1475.85, "end": 1476.41, "word": " I", "probability": 0.86572265625}, {"start": 1476.41, "end": 1477.47, "word": " هذه", "probability": 0.578125}, {"start": 1477.47, "end": 1478.05, "word": " بقدر", "probability": 0.65380859375}, {"start": 1478.05, "end": 1478.53, "word": " نكتب", "probability": 0.964599609375}, {"start": 1478.53, "end": 1479.05, "word": " X", "probability": 0.81982421875}, {"start": 1479.05, "end": 1479.43, "word": " على", "probability": 0.66455078125}, {"start": 1479.43, "end": 1480.07, "word": " أربعة", "probability": 0.6902262369791666}, {"start": 1480.07, "end": 1480.73, "word": " تساوي", "probability": 0.89111328125}, {"start": 1480.73, "end": 1481.51, "word": " صين", "probability": 0.919921875}, {"start": 1481.51, "end": 1482.03, "word": " T", "probability": 0.9111328125}, {"start": 1482.03, "end": 1483.53, "word": " وهذه", "probability": 0.777099609375}, {"start": 1483.53, "end": 1484.17, "word": " Y", "probability": 0.88818359375}, {"start": 1484.17, "end": 1484.73, "word": " على", "probability": 0.8994140625}, {"start": 1484.73, "end": 1485.59, "word": " خمسة", "probability": 0.984375}, {"start": 1485.59, "end": 1486.23, "word": " يساوي", "probability": 0.8699951171875}, {"start": 1486.23, "end": 1487.11, "word": " كوسين", "probability": 0.8045247395833334}, {"start": 1487.11, "end": 1487.45, "word": " T", "probability": 0.87109375}], "temperature": 1.0}, {"id": 63, "seek": 151743, "start": 1487.95, "end": 1517.43, "text": "الان مربع الطرفين يبقى x تربيع على 16 زائد y تربيع على 25 يساوي sin تربيه T زائد cos تربيه T او ان شئتهم فاقولوا x تربيه على 16 زائد y تربيع على 25 يساوي 1 معدلات ايش هذا يا شباب؟ قطع ناقص، اللي هو هذا القطع المكافئ الأولاني", "tokens": [6027, 7649, 3714, 25513, 3615, 41950, 28480, 9957, 7251, 3555, 4587, 7578, 2031, 6055, 2288, 21292, 3615, 15844, 3165, 30767, 16373, 3215, 288, 6055, 2288, 21292, 3615, 15844, 3552, 7251, 3794, 995, 45865, 3343, 6055, 2288, 21292, 3224, 314, 30767, 16373, 3215, 3792, 6055, 2288, 21292, 3224, 314, 1975, 2407, 16472, 13412, 19986, 2655, 16095, 6156, 995, 39648, 14407, 2031, 6055, 2288, 21292, 3224, 15844, 3165, 30767, 16373, 3215, 288, 6055, 2288, 21292, 3615, 15844, 3552, 7251, 3794, 995, 45865, 502, 20449, 3215, 1211, 9307, 1975, 1829, 8592, 23758, 35186, 13412, 3555, 16758, 22807, 12174, 9566, 3615, 8717, 995, 4587, 9381, 12399, 13672, 1829, 31439, 23758, 25062, 9566, 3615, 9673, 4117, 31845, 19986, 16247, 12610, 7649, 1829], "avg_logprob": -0.2362288068664276, "compression_ratio": 1.895, "no_speech_prob": 0.0, "words": [{"start": 1487.95, "end": 1488.39, "word": "الان", "probability": 0.58203125}, {"start": 1488.39, "end": 1488.89, "word": " مربع", "probability": 0.81298828125}, {"start": 1488.89, "end": 1489.73, "word": " الطرفين", "probability": 0.9720052083333334}, {"start": 1489.73, "end": 1490.67, "word": " يبقى", "probability": 0.919189453125}, {"start": 1490.67, "end": 1490.97, "word": " x", "probability": 0.4208984375}, {"start": 1490.97, "end": 1491.65, "word": " تربيع", "probability": 0.72088623046875}, {"start": 1491.65, "end": 1491.95, "word": " على", "probability": 0.62451171875}, {"start": 1491.95, "end": 1492.77, "word": " 16", "probability": 0.79052734375}, {"start": 1492.77, "end": 1493.49, "word": " زائد", "probability": 0.7560221354166666}, {"start": 1493.49, "end": 1493.79, "word": " y", "probability": 0.8056640625}, {"start": 1493.79, "end": 1494.45, "word": " تربيع", "probability": 0.9400634765625}, {"start": 1494.45, "end": 1494.77, "word": " على", "probability": 0.85400390625}, {"start": 1494.77, "end": 1495.81, "word": " 25", "probability": 0.78515625}, {"start": 1495.81, "end": 1497.43, "word": " يساوي", "probability": 0.9132080078125}, {"start": 1497.43, "end": 1498.01, "word": " sin", "probability": 0.12164306640625}, {"start": 1498.01, "end": 1498.93, "word": " تربيه", "probability": 0.75714111328125}, {"start": 1498.93, "end": 1499.23, "word": " T", "probability": 0.498046875}, {"start": 1499.23, "end": 1500.03, "word": " زائد", "probability": 0.9435221354166666}, {"start": 1500.03, "end": 1500.41, "word": " cos", "probability": 0.5}, {"start": 1500.41, "end": 1501.39, "word": " تربيه", "probability": 0.9755859375}, {"start": 1501.39, "end": 1501.85, "word": " T", "probability": 0.94921875}, {"start": 1501.85, "end": 1502.69, "word": " او", "probability": 0.826171875}, {"start": 1502.69, "end": 1502.85, "word": " ان", "probability": 0.68408203125}, {"start": 1502.85, "end": 1503.41, "word": " شئتهم", "probability": 0.6219482421875}, {"start": 1503.41, "end": 1504.39, "word": " فاقولوا", "probability": 0.8414306640625}, {"start": 1504.39, "end": 1504.73, "word": " x", "probability": 0.8818359375}, {"start": 1504.73, "end": 1505.27, "word": " تربيه", "probability": 0.88671875}, {"start": 1505.27, "end": 1505.51, "word": " على", "probability": 0.78955078125}, {"start": 1505.51, "end": 1506.25, "word": " 16", "probability": 0.9775390625}, {"start": 1506.25, "end": 1506.85, "word": " زائد", "probability": 0.9563802083333334}, {"start": 1506.85, "end": 1507.13, "word": " y", "probability": 0.984375}, {"start": 1507.13, "end": 1507.79, "word": " تربيع", "probability": 0.86669921875}, {"start": 1507.79, "end": 1508.33, "word": " على", "probability": 0.84765625}, {"start": 1508.33, "end": 1509.23, "word": " 25", "probability": 0.9853515625}, {"start": 1509.23, "end": 1510.25, "word": " يساوي", "probability": 0.962646484375}, {"start": 1510.25, "end": 1510.67, "word": " 1", "probability": 0.857421875}, {"start": 1510.67, "end": 1511.83, "word": " معدلات", "probability": 0.64599609375}, {"start": 1511.83, "end": 1512.05, "word": " ايش", "probability": 0.6165364583333334}, {"start": 1512.05, "end": 1512.29, "word": " هذا", "probability": 0.62255859375}, {"start": 1512.29, "end": 1512.47, "word": " يا", "probability": 0.36474609375}, {"start": 1512.47, "end": 1512.71, "word": " شباب؟", "probability": 0.84136962890625}, {"start": 1512.71, "end": 1514.15, "word": " قطع", "probability": 0.8548177083333334}, {"start": 1514.15, "end": 1515.31, "word": " ناقص،", "probability": 0.83134765625}, {"start": 1515.31, "end": 1515.49, "word": " اللي", "probability": 0.751953125}, {"start": 1515.49, "end": 1515.59, "word": " هو", "probability": 0.93603515625}, {"start": 1515.59, "end": 1515.79, "word": " هذا", "probability": 0.58154296875}, {"start": 1515.79, "end": 1516.19, "word": " القطع", "probability": 0.9811197916666666}, {"start": 1516.19, "end": 1516.75, "word": " المكافئ", "probability": 0.947021484375}, {"start": 1516.75, "end": 1517.43, "word": " الأولاني", "probability": 0.81427001953125}], "temperature": 1.0}, {"id": 64, "seek": 153021, "start": 1518.01, "end": 1530.21, "text": "يبقى هذه equation of an ellipse طيب هذا ال ellipse شكل بيضاوي", "tokens": [1829, 3555, 4587, 7578, 29538, 5367, 295, 364, 8284, 48041, 23032, 1829, 3555, 23758, 2423, 8284, 48041, 13412, 28820, 4724, 1829, 11242, 995, 45865], "avg_logprob": -0.2543750095367432, "compression_ratio": 1.0625, "no_speech_prob": 0.0, "words": [{"start": 1518.01, "end": 1518.77, "word": "يبقى", "probability": 0.847412109375}, {"start": 1518.77, "end": 1519.19, "word": " هذه", "probability": 0.515625}, {"start": 1519.19, "end": 1520.15, "word": " equation", "probability": 0.43603515625}, {"start": 1520.15, "end": 1521.65, "word": " of", "probability": 0.890625}, {"start": 1521.65, "end": 1522.99, "word": " an", "probability": 0.56103515625}, {"start": 1522.99, "end": 1523.79, "word": " ellipse", "probability": 0.963134765625}, {"start": 1523.79, "end": 1527.79, "word": " طيب", "probability": 0.688232421875}, {"start": 1527.79, "end": 1528.17, "word": " هذا", "probability": 0.74072265625}, {"start": 1528.17, "end": 1528.35, "word": " ال", "probability": 0.8349609375}, {"start": 1528.35, "end": 1528.69, "word": " ellipse", "probability": 0.919189453125}, {"start": 1528.69, "end": 1529.27, "word": " شكل", "probability": 0.9267578125}, {"start": 1529.27, "end": 1530.21, "word": " بيضاوي", "probability": 0.91416015625}], "temperature": 1.0}, {"id": 65, "seek": 155908, "start": 1530.54, "end": 1559.08, "text": "هو المحور الرئيسي ومحور ثانوي كم هو المحور الرئيسي او من المحور الرئيسي لهذا الالب؟ why ليش؟ لأن المقام أكبر يبقى في حالة الالب بنقدر نجيب ال major axis اللي هو المحور الرئيسي من خلال الرقم اللي موجود في المقام صاحب المقام الرفيع بيكون هو ال major axis يعني ليش الرفيع؟ يعني أكبر قيمة", "tokens": [3224, 2407, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 4032, 2304, 5016, 13063, 38637, 7649, 45865, 9122, 2304, 31439, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 1975, 2407, 9154, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 46740, 15730, 2423, 6027, 3555, 22807, 983, 32239, 8592, 22807, 5296, 33456, 9673, 4587, 10943, 5551, 4117, 26890, 7251, 3555, 4587, 7578, 8978, 11331, 6027, 3660, 2423, 6027, 3555, 44945, 28543, 2288, 8717, 7435, 1829, 3555, 2423, 2563, 10298, 13672, 1829, 31439, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 9154, 16490, 1211, 6027, 34892, 4587, 2304, 13672, 1829, 3714, 29245, 23328, 8978, 9673, 4587, 10943, 20328, 39319, 3555, 9673, 4587, 10943, 2423, 28480, 40228, 4724, 1829, 30544, 31439, 2423, 2563, 10298, 37495, 22653, 32239, 8592, 2423, 28480, 40228, 22807, 37495, 22653, 5551, 4117, 26890, 12174, 32640, 3660], "avg_logprob": -0.19542572712120804, "compression_ratio": 2.297674418604651, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1530.54, "end": 1530.92, "word": "هو", "probability": 0.43194580078125}, {"start": 1530.92, "end": 1531.42, "word": " المحور", "probability": 0.8556315104166666}, {"start": 1531.42, "end": 1532.12, "word": " الرئيسي", "probability": 0.99306640625}, {"start": 1532.12, "end": 1532.76, "word": " ومحور", "probability": 0.8310546875}, {"start": 1532.76, "end": 1533.54, "word": " ثانوي", "probability": 0.9881184895833334}, {"start": 1533.54, "end": 1534.38, "word": " كم", "probability": 0.3089599609375}, {"start": 1534.38, "end": 1534.62, "word": " هو", "probability": 0.366943359375}, {"start": 1534.62, "end": 1535.08, "word": " المحور", "probability": 0.99169921875}, {"start": 1535.08, "end": 1535.62, "word": " الرئيسي", "probability": 0.9953125}, {"start": 1535.62, "end": 1535.82, "word": " او", "probability": 0.6116943359375}, {"start": 1535.82, "end": 1535.98, "word": " من", "probability": 0.802734375}, {"start": 1535.98, "end": 1536.76, "word": " المحور", "probability": 0.9309895833333334}, {"start": 1536.76, "end": 1537.62, "word": " الرئيسي", "probability": 0.995703125}, {"start": 1537.62, "end": 1538.04, "word": " لهذا", "probability": 0.78173828125}, {"start": 1538.04, "end": 1538.42, "word": " الالب؟", "probability": 0.603729248046875}, {"start": 1538.42, "end": 1539.4, "word": " why", "probability": 0.05694580078125}, {"start": 1539.4, "end": 1540.18, "word": " ليش؟", "probability": 0.783203125}, {"start": 1540.18, "end": 1540.56, "word": " لأن", "probability": 0.826171875}, {"start": 1540.56, "end": 1541.62, "word": " المقام", "probability": 0.9436848958333334}, {"start": 1541.62, "end": 1542.16, "word": " أكبر", "probability": 0.8478190104166666}, {"start": 1542.16, "end": 1542.56, "word": " يبقى", "probability": 0.8798828125}, {"start": 1542.56, "end": 1542.72, "word": " في", "probability": 0.89599609375}, {"start": 1542.72, "end": 1543.38, "word": " حالة", "probability": 0.9952799479166666}, {"start": 1543.38, "end": 1543.96, "word": " الالب", "probability": 0.758056640625}, {"start": 1543.96, "end": 1545.0, "word": " بنقدر", "probability": 0.7226155598958334}, {"start": 1545.0, "end": 1545.44, "word": " نجيب", "probability": 0.9793701171875}, {"start": 1545.44, "end": 1545.6, "word": " ال", "probability": 0.70703125}, {"start": 1545.6, "end": 1545.84, "word": " major", "probability": 0.87744140625}, {"start": 1545.84, "end": 1546.56, "word": " axis", "probability": 0.9609375}, {"start": 1546.56, "end": 1546.84, "word": " اللي", "probability": 0.8671875}, {"start": 1546.84, "end": 1546.98, "word": " هو", "probability": 0.9755859375}, {"start": 1546.98, "end": 1547.4, "word": " المحور", "probability": 0.9943033854166666}, {"start": 1547.4, "end": 1548.2, "word": " الرئيسي", "probability": 0.99541015625}, {"start": 1548.2, "end": 1548.7, "word": " من", "probability": 0.97802734375}, {"start": 1548.7, "end": 1549.22, "word": " خلال", "probability": 0.99365234375}, {"start": 1549.22, "end": 1549.88, "word": " الرقم", "probability": 0.9886067708333334}, {"start": 1549.88, "end": 1550.12, "word": " اللي", "probability": 0.856201171875}, {"start": 1550.12, "end": 1550.66, "word": " موجود", "probability": 0.9895833333333334}, {"start": 1550.66, "end": 1550.86, "word": " في", "probability": 0.94775390625}, {"start": 1550.86, "end": 1551.5, "word": " المقام", "probability": 0.9920247395833334}, {"start": 1551.5, "end": 1552.1, "word": " صاحب", "probability": 0.9134114583333334}, {"start": 1552.1, "end": 1552.88, "word": " المقام", "probability": 0.9912109375}, {"start": 1552.88, "end": 1553.72, "word": " الرفيع", "probability": 0.7569173177083334}, {"start": 1553.72, "end": 1554.44, "word": " بيكون", "probability": 0.726806640625}, {"start": 1554.44, "end": 1554.68, "word": " هو", "probability": 0.98095703125}, {"start": 1554.68, "end": 1555.24, "word": " ال", "probability": 0.8798828125}, {"start": 1555.24, "end": 1555.48, "word": " major", "probability": 0.88330078125}, {"start": 1555.48, "end": 1555.86, "word": " axis", "probability": 0.97900390625}, {"start": 1555.86, "end": 1556.26, "word": " يعني", "probability": 0.94384765625}, {"start": 1556.26, "end": 1556.54, "word": " ليش", "probability": 0.895751953125}, {"start": 1556.54, "end": 1557.48, "word": " الرفيع؟", "probability": 0.8822021484375}, {"start": 1557.48, "end": 1557.82, "word": " يعني", "probability": 0.9169921875}, {"start": 1557.82, "end": 1558.5, "word": " أكبر", "probability": 0.9484049479166666}, {"start": 1558.5, "end": 1559.08, "word": " قيمة", "probability": 0.9923502604166666}], "temperature": 1.0}, {"id": 66, "seek": 158412, "start": 1559.3, "end": 1584.12, "text": "يبقى equation of an ellipse with major axis محوى الرئيسي along the y-axis هذا بنفعنا كيف؟ بنفعنا عند الرسم، نعرف كيف نرسم نقطة ثانية بنانيجي ناخد القيم المختلفة لـT، يبقى F", "tokens": [1829, 3555, 4587, 7578, 5367, 295, 364, 8284, 48041, 365, 2563, 10298, 3714, 5016, 2407, 7578, 34892, 19986, 1829, 3794, 1829, 2051, 264, 288, 12, 24633, 23758, 44945, 5172, 3615, 8315, 9122, 33911, 22807, 44945, 5172, 3615, 8315, 43242, 34892, 38251, 12399, 8717, 3615, 28480, 9122, 33911, 8717, 2288, 38251, 8717, 47432, 3660, 38637, 7649, 10632, 44945, 7649, 1829, 7435, 1829, 8717, 47283, 3215, 25062, 32640, 9673, 46456, 46538, 3660, 5296, 39184, 51, 12399, 7251, 3555, 4587, 7578, 479], "avg_logprob": -0.25253905802965165, "compression_ratio": 1.4378378378378378, "no_speech_prob": 0.0, "words": [{"start": 1559.3, "end": 1559.84, "word": "يبقى", "probability": 0.636810302734375}, {"start": 1559.84, "end": 1560.18, "word": " equation", "probability": 0.153076171875}, {"start": 1560.18, "end": 1560.52, "word": " of", "probability": 0.94287109375}, {"start": 1560.52, "end": 1560.98, "word": " an", "probability": 0.76318359375}, {"start": 1560.98, "end": 1561.58, "word": " ellipse", "probability": 0.9580078125}, {"start": 1561.58, "end": 1562.4, "word": " with", "probability": 0.9052734375}, {"start": 1562.4, "end": 1564.4, "word": " major", "probability": 0.904296875}, {"start": 1564.4, "end": 1566.06, "word": " axis", "probability": 0.75048828125}, {"start": 1566.06, "end": 1567.3, "word": " محوى", "probability": 0.70635986328125}, {"start": 1567.3, "end": 1568.76, "word": " الرئيسي", "probability": 0.97265625}, {"start": 1568.76, "end": 1569.46, "word": " along", "probability": 0.95751953125}, {"start": 1569.46, "end": 1571.42, "word": " the", "probability": 0.8623046875}, {"start": 1571.42, "end": 1572.02, "word": " y", "probability": 0.63427734375}, {"start": 1572.02, "end": 1573.08, "word": "-axis", "probability": 0.705322265625}, {"start": 1573.08, "end": 1573.92, "word": " هذا", "probability": 0.55908203125}, {"start": 1573.92, "end": 1574.54, "word": " بنفعنا", "probability": 0.8531494140625}, {"start": 1574.54, "end": 1575.12, "word": " كيف؟", "probability": 0.888671875}, {"start": 1575.12, "end": 1575.64, "word": " بنفعنا", "probability": 0.919189453125}, {"start": 1575.64, "end": 1575.86, "word": " عند", "probability": 0.9892578125}, {"start": 1575.86, "end": 1576.84, "word": " الرسم،", "probability": 0.841796875}, {"start": 1576.84, "end": 1577.22, "word": " نعرف", "probability": 0.84375}, {"start": 1577.22, "end": 1577.5, "word": " كيف", "probability": 0.9794921875}, {"start": 1577.5, "end": 1577.98, "word": " نرسم", "probability": 0.9845377604166666}, {"start": 1577.98, "end": 1578.78, "word": " نقطة", "probability": 0.8133138020833334}, {"start": 1578.78, "end": 1579.34, "word": " ثانية", "probability": 0.9886067708333334}, {"start": 1579.34, "end": 1580.72, "word": " بنانيجي", "probability": 0.5730712890625}, {"start": 1580.72, "end": 1581.14, "word": " ناخد", "probability": 0.8885091145833334}, {"start": 1581.14, "end": 1581.56, "word": " القيم", "probability": 0.9345703125}, {"start": 1581.56, "end": 1582.5, "word": " المختلفة", "probability": 0.965576171875}, {"start": 1582.5, "end": 1583.12, "word": " لـT،", "probability": 0.518707275390625}, {"start": 1583.12, "end": 1583.56, "word": " يبقى", "probability": 0.970703125}, {"start": 1583.56, "end": 1584.12, "word": " F", "probability": 0.90283203125}], "temperature": 1.0}, {"id": 67, "seek": 161283, "start": 1584.59, "end": 1612.83, "text": "T تساوي Zero ثم X Y تساوي Zero Sin Zero بقداش؟ ب Zero Cos Zero خمسة ثم لو كانت T تساوي Pi على اتنين مثلا ثم X Y يساوي بدنا نشيل T ونحط مكانها Pi على اتنين يبقى بصير هذا كداش؟", "tokens": [51, 6055, 3794, 995, 45865, 17182, 38637, 2304, 1783, 398, 6055, 3794, 995, 45865, 17182, 11187, 17182, 4724, 28543, 33599, 22807, 4724, 17182, 15855, 17182, 16490, 2304, 3794, 3660, 38637, 2304, 45164, 25961, 2655, 314, 6055, 3794, 995, 45865, 17741, 15844, 1975, 2655, 1863, 9957, 50113, 15040, 38637, 2304, 1783, 398, 7251, 3794, 995, 45865, 47525, 8315, 8717, 8592, 26895, 314, 4032, 1863, 5016, 9566, 3714, 41361, 11296, 17741, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 23758, 9122, 3215, 33599, 22807], "avg_logprob": -0.33943964763619433, "compression_ratio": 1.6625766871165644, "no_speech_prob": 0.0, "words": [{"start": 1584.59, "end": 1584.89, "word": "T", "probability": 0.1383056640625}, {"start": 1584.89, "end": 1585.71, "word": " تساوي", "probability": 0.6383380889892578}, {"start": 1585.71, "end": 1586.21, "word": " Zero", "probability": 0.38671875}, {"start": 1586.21, "end": 1587.25, "word": " ثم", "probability": 0.7115478515625}, {"start": 1587.25, "end": 1587.91, "word": " X", "probability": 0.59033203125}, {"start": 1587.91, "end": 1588.81, "word": " Y", "probability": 0.6416015625}, {"start": 1588.81, "end": 1589.55, "word": " تساوي", "probability": 0.960205078125}, {"start": 1589.55, "end": 1590.85, "word": " Zero", "probability": 0.67041015625}, {"start": 1590.85, "end": 1591.53, "word": " Sin", "probability": 0.135986328125}, {"start": 1591.53, "end": 1591.89, "word": " Zero", "probability": 0.865234375}, {"start": 1591.89, "end": 1592.87, "word": " بقداش؟", "probability": 0.61419677734375}, {"start": 1592.87, "end": 1593.71, "word": " ب", "probability": 0.68310546875}, {"start": 1593.71, "end": 1594.17, "word": " Zero", "probability": 0.65625}, {"start": 1594.17, "end": 1594.85, "word": " Cos", "probability": 0.59375}, {"start": 1594.85, "end": 1595.75, "word": " Zero", "probability": 0.60302734375}, {"start": 1595.75, "end": 1597.79, "word": " خمسة", "probability": 0.75274658203125}, {"start": 1597.79, "end": 1598.37, "word": " ثم", "probability": 0.5706787109375}, {"start": 1598.37, "end": 1599.25, "word": " لو", "probability": 0.8134765625}, {"start": 1599.25, "end": 1599.97, "word": " كانت", "probability": 0.606201171875}, {"start": 1599.97, "end": 1600.41, "word": " T", "probability": 0.8408203125}, {"start": 1600.41, "end": 1601.11, "word": " تساوي", "probability": 0.9501953125}, {"start": 1601.11, "end": 1601.43, "word": " Pi", "probability": 0.412109375}, {"start": 1601.43, "end": 1601.75, "word": " على", "probability": 0.58251953125}, {"start": 1601.75, "end": 1602.31, "word": " اتنين", "probability": 0.9100341796875}, {"start": 1602.31, "end": 1603.21, "word": " مثلا", "probability": 0.929931640625}, {"start": 1603.21, "end": 1604.25, "word": " ثم", "probability": 0.67138671875}, {"start": 1604.25, "end": 1604.79, "word": " X", "probability": 0.76318359375}, {"start": 1604.79, "end": 1605.59, "word": " Y", "probability": 0.9404296875}, {"start": 1605.59, "end": 1606.55, "word": " يساوي", "probability": 0.962646484375}, {"start": 1606.55, "end": 1607.39, "word": " بدنا", "probability": 0.5869140625}, {"start": 1607.39, "end": 1607.85, "word": " نشيل", "probability": 0.9671223958333334}, {"start": 1607.85, "end": 1608.09, "word": " T", "probability": 0.85595703125}, {"start": 1608.09, "end": 1608.63, "word": " ونحط", "probability": 0.79150390625}, {"start": 1608.63, "end": 1609.51, "word": " مكانها", "probability": 0.9873046875}, {"start": 1609.51, "end": 1610.17, "word": " Pi", "probability": 0.73291015625}, {"start": 1610.17, "end": 1610.53, "word": " على", "probability": 0.9189453125}, {"start": 1610.53, "end": 1611.15, "word": " اتنين", "probability": 0.9736328125}, {"start": 1611.15, "end": 1611.41, "word": " يبقى", "probability": 0.8673095703125}, {"start": 1611.41, "end": 1611.69, "word": " بصير", "probability": 0.71142578125}, {"start": 1611.69, "end": 1611.85, "word": " هذا", "probability": 0.8330078125}, {"start": 1611.85, "end": 1612.83, "word": " كداش؟", "probability": 0.7603759765625}], "temperature": 1.0}, {"id": 68, "seek": 162723, "start": 1613.27, "end": 1627.23, "text": "اربع و هنا باي على اتنين كده؟ Zero اللي بعدها لو كانت ال T تساوي باي على سبيل المثال يبقى ال X و ال Y تساوي", "tokens": [9640, 3555, 3615, 4032, 34105, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 9122, 3215, 3224, 22807, 17182, 13672, 1829, 39182, 11296, 45164, 25961, 2655, 2423, 314, 6055, 3794, 995, 45865, 4724, 47302, 15844, 8608, 21292, 1211, 9673, 12984, 6027, 7251, 3555, 4587, 7578, 2423, 1783, 4032, 2423, 398, 6055, 3794, 995, 45865], "avg_logprob": -0.2704893732970616, "compression_ratio": 1.4796747967479675, "no_speech_prob": 0.0, "words": [{"start": 1613.27, "end": 1614.19, "word": "اربع", "probability": 0.6343180338541666}, {"start": 1614.19, "end": 1614.55, "word": " و", "probability": 0.3330078125}, {"start": 1614.55, "end": 1614.77, "word": " هنا", "probability": 0.59716796875}, {"start": 1614.77, "end": 1615.03, "word": " باي", "probability": 0.547607421875}, {"start": 1615.03, "end": 1615.29, "word": " على", "probability": 0.6689453125}, {"start": 1615.29, "end": 1615.71, "word": " اتنين", "probability": 0.9515380859375}, {"start": 1615.71, "end": 1616.53, "word": " كده؟", "probability": 0.62579345703125}, {"start": 1616.53, "end": 1617.79, "word": " Zero", "probability": 0.478515625}, {"start": 1617.79, "end": 1618.71, "word": " اللي", "probability": 0.79296875}, {"start": 1618.71, "end": 1619.29, "word": " بعدها", "probability": 0.953857421875}, {"start": 1619.29, "end": 1619.57, "word": " لو", "probability": 0.82861328125}, {"start": 1619.57, "end": 1620.31, "word": " كانت", "probability": 0.921630859375}, {"start": 1620.31, "end": 1620.57, "word": " ال", "probability": 0.705078125}, {"start": 1620.57, "end": 1620.77, "word": " T", "probability": 0.80322265625}, {"start": 1620.77, "end": 1621.67, "word": " تساوي", "probability": 0.9112548828125}, {"start": 1621.67, "end": 1622.17, "word": " باي", "probability": 0.841064453125}, {"start": 1622.17, "end": 1622.45, "word": " على", "probability": 0.9033203125}, {"start": 1622.45, "end": 1623.07, "word": " سبيل", "probability": 0.9835611979166666}, {"start": 1623.07, "end": 1623.91, "word": " المثال", "probability": 0.9933268229166666}, {"start": 1623.91, "end": 1624.95, "word": " يبقى", "probability": 0.95703125}, {"start": 1624.95, "end": 1625.11, "word": " ال", "probability": 0.91455078125}, {"start": 1625.11, "end": 1625.53, "word": " X", "probability": 0.94921875}, {"start": 1625.53, "end": 1625.79, "word": " و", "probability": 0.60546875}, {"start": 1625.79, "end": 1625.95, "word": " ال", "probability": 0.7392578125}, {"start": 1625.95, "end": 1626.35, "word": " Y", "probability": 0.978515625}, {"start": 1626.35, "end": 1627.23, "word": " تساوي", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 69, "seek": 166226, "start": 1633.78, "end": 1662.26, "text": "بسالب واحد يبقى سالب خمسة اللي بعدها لو كان ال T تساوي تلاتة باي على اتنين متين وسبعين درجة يبقى then ال X وال Y يساوي صين المتين وسبعين سالب واحد في اربعة بسالب اربعة قصين المتين وسبعين ب zero اللي بعدها لو كانت ال T تساوي اتنين باي", "tokens": [3555, 3794, 6027, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 13672, 1829, 39182, 11296, 45164, 25961, 2423, 314, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 44650, 9957, 4032, 35457, 3615, 9957, 11778, 47341, 3660, 7251, 3555, 4587, 7578, 550, 2423, 1783, 16070, 398, 7251, 3794, 995, 45865, 20328, 9957, 9673, 2655, 9957, 4032, 35457, 3615, 9957, 8608, 6027, 3555, 36764, 24401, 8978, 1975, 25513, 27884, 4724, 3794, 6027, 3555, 1975, 25513, 27884, 12174, 9381, 9957, 9673, 2655, 9957, 4032, 35457, 3615, 9957, 4724, 4018, 13672, 1829, 39182, 11296, 45164, 25961, 2655, 2423, 314, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 4724, 47302], "avg_logprob": -0.15782562699638494, "compression_ratio": 2.2681564245810057, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1633.78, "end": 1634.5, "word": "بسالب", "probability": 0.69891357421875}, {"start": 1634.5, "end": 1634.98, "word": " واحد", "probability": 0.86865234375}, {"start": 1634.98, "end": 1635.34, "word": " يبقى", "probability": 0.925537109375}, {"start": 1635.34, "end": 1635.82, "word": " سالب", "probability": 0.94091796875}, {"start": 1635.82, "end": 1636.58, "word": " خمسة", "probability": 0.962646484375}, {"start": 1636.58, "end": 1637.3, "word": " اللي", "probability": 0.869140625}, {"start": 1637.3, "end": 1637.94, "word": " بعدها", "probability": 0.957275390625}, {"start": 1637.94, "end": 1638.24, "word": " لو", "probability": 0.890625}, {"start": 1638.24, "end": 1638.68, "word": " كان", "probability": 0.92919921875}, {"start": 1638.68, "end": 1638.94, "word": " ال", "probability": 0.51708984375}, {"start": 1638.94, "end": 1639.14, "word": " T", "probability": 0.78662109375}, {"start": 1639.14, "end": 1639.9, "word": " تساوي", "probability": 0.734130859375}, {"start": 1639.9, "end": 1640.76, "word": " تلاتة", "probability": 0.8905029296875}, {"start": 1640.76, "end": 1641.04, "word": " باي", "probability": 0.4227294921875}, {"start": 1641.04, "end": 1641.32, "word": " على", "probability": 0.82666015625}, {"start": 1641.32, "end": 1641.86, "word": " اتنين", "probability": 0.9691162109375}, {"start": 1641.86, "end": 1642.32, "word": " متين", "probability": 0.6923828125}, {"start": 1642.32, "end": 1643.02, "word": " وسبعين", "probability": 0.9266357421875}, {"start": 1643.02, "end": 1643.66, "word": " درجة", "probability": 0.9915364583333334}, {"start": 1643.66, "end": 1644.9, "word": " يبقى", "probability": 0.986328125}, {"start": 1644.9, "end": 1645.34, "word": " then", "probability": 0.72021484375}, {"start": 1645.34, "end": 1646.12, "word": " ال", "probability": 0.923828125}, {"start": 1646.12, "end": 1646.6, "word": " X", "probability": 0.912109375}, {"start": 1646.6, "end": 1646.98, "word": " وال", "probability": 0.57568359375}, {"start": 1646.98, "end": 1647.54, "word": " Y", "probability": 0.466796875}, {"start": 1647.54, "end": 1648.3, "word": " يساوي", "probability": 0.919677734375}, {"start": 1648.3, "end": 1649.1, "word": " صين", "probability": 0.6705322265625}, {"start": 1649.1, "end": 1649.6, "word": " المتين", "probability": 0.75732421875}, {"start": 1649.6, "end": 1650.52, "word": " وسبعين", "probability": 0.9791259765625}, {"start": 1650.52, "end": 1651.68, "word": " سالب", "probability": 0.9597981770833334}, {"start": 1651.68, "end": 1652.18, "word": " واحد", "probability": 0.981689453125}, {"start": 1652.18, "end": 1652.36, "word": " في", "probability": 0.9677734375}, {"start": 1652.36, "end": 1652.98, "word": " اربعة", "probability": 0.7750651041666666}, {"start": 1652.98, "end": 1653.8, "word": " بسالب", "probability": 0.968994140625}, {"start": 1653.8, "end": 1654.34, "word": " اربعة", "probability": 0.9254557291666666}, {"start": 1654.34, "end": 1654.98, "word": " قصين", "probability": 0.79296875}, {"start": 1654.98, "end": 1655.52, "word": " المتين", "probability": 0.9796549479166666}, {"start": 1655.52, "end": 1656.42, "word": " وسبعين", "probability": 0.992431640625}, {"start": 1656.42, "end": 1657.32, "word": " ب", "probability": 0.9267578125}, {"start": 1657.32, "end": 1657.94, "word": " zero", "probability": 0.336669921875}, {"start": 1657.94, "end": 1658.42, "word": " اللي", "probability": 0.877197265625}, {"start": 1658.42, "end": 1658.92, "word": " بعدها", "probability": 0.963134765625}, {"start": 1658.92, "end": 1659.2, "word": " لو", "probability": 0.9521484375}, {"start": 1659.2, "end": 1659.72, "word": " كانت", "probability": 0.84130859375}, {"start": 1659.72, "end": 1659.96, "word": " ال", "probability": 0.8984375}, {"start": 1659.96, "end": 1660.18, "word": " T", "probability": 0.98388671875}, {"start": 1660.18, "end": 1660.86, "word": " تساوي", "probability": 0.9820556640625}, {"start": 1660.86, "end": 1661.6, "word": " اتنين", "probability": 0.982421875}, {"start": 1661.6, "end": 1662.26, "word": " باي", "probability": 0.784423828125}], "temperature": 1.0}, {"id": 70, "seek": 169027, "start": 1662.47, "end": 1690.27, "text": "بعد ذلك XY تساوي نجل اتنين و اتنين باي زي ال zero ان هنا دورة كاملة يبقى بصير قداش zero و خمسة يبقى ال graph عبارة عن ellipse ذكرنا و ال major axis along the Y axis بدنا نرسم يبقى هذه الرسمة اللي عندنا", "tokens": [3555, 22488, 29910, 23275, 48826, 6055, 3794, 995, 45865, 8717, 7435, 1211, 1975, 2655, 1863, 9957, 4032, 1975, 2655, 1863, 9957, 4724, 47302, 30767, 1829, 2423, 4018, 16472, 34105, 11778, 13063, 3660, 9122, 10943, 37977, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 12174, 3215, 33599, 4018, 4032, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 2423, 4295, 6225, 3555, 9640, 3660, 18871, 8284, 48041, 29910, 37983, 8315, 4032, 2423, 2563, 10298, 2051, 264, 398, 10298, 47525, 8315, 8717, 2288, 38251, 7251, 3555, 4587, 7578, 29538, 34892, 38251, 3660, 13672, 1829, 43242, 8315], "avg_logprob": -0.32073252688172044, "compression_ratio": 1.5517241379310345, "no_speech_prob": 0.0, "words": [{"start": 1662.47, "end": 1663.21, "word": "بعد", "probability": 0.477813720703125}, {"start": 1663.21, "end": 1663.21, "word": " ذلك", "probability": 0.6650390625}, {"start": 1663.21, "end": 1664.25, "word": " XY", "probability": 0.263427734375}, {"start": 1664.25, "end": 1665.99, "word": " تساوي", "probability": 0.7171211242675781}, {"start": 1665.99, "end": 1670.57, "word": " نجل", "probability": 0.545654296875}, {"start": 1670.57, "end": 1671.01, "word": " اتنين", "probability": 0.9002685546875}, {"start": 1671.01, "end": 1671.15, "word": " و", "probability": 0.452880859375}, {"start": 1671.15, "end": 1671.67, "word": " اتنين", "probability": 0.884765625}, {"start": 1671.67, "end": 1671.99, "word": " باي", "probability": 0.38232421875}, {"start": 1671.99, "end": 1672.29, "word": " زي", "probability": 0.917236328125}, {"start": 1672.29, "end": 1672.51, "word": " ال", "probability": 0.43359375}, {"start": 1672.51, "end": 1672.83, "word": " zero", "probability": 0.373046875}, {"start": 1672.83, "end": 1673.11, "word": " ان", "probability": 0.1923828125}, {"start": 1673.11, "end": 1673.39, "word": " هنا", "probability": 0.96728515625}, {"start": 1673.39, "end": 1674.05, "word": " دورة", "probability": 0.9755859375}, {"start": 1674.05, "end": 1674.81, "word": " كاملة", "probability": 0.9794921875}, {"start": 1674.81, "end": 1676.45, "word": " يبقى", "probability": 0.822265625}, {"start": 1676.45, "end": 1676.83, "word": " بصير", "probability": 0.87451171875}, {"start": 1676.83, "end": 1677.61, "word": " قداش", "probability": 0.8260091145833334}, {"start": 1677.61, "end": 1678.67, "word": " zero", "probability": 0.23486328125}, {"start": 1678.67, "end": 1679.23, "word": " و", "probability": 0.97314453125}, {"start": 1679.23, "end": 1680.71, "word": " خمسة", "probability": 0.868896484375}, {"start": 1680.71, "end": 1681.51, "word": " يبقى", "probability": 0.972412109375}, {"start": 1681.51, "end": 1681.87, "word": " ال", "probability": 0.2861328125}, {"start": 1681.87, "end": 1682.29, "word": " graph", "probability": 0.86669921875}, {"start": 1682.29, "end": 1682.75, "word": " عبارة", "probability": 0.97607421875}, {"start": 1682.75, "end": 1682.97, "word": " عن", "probability": 0.986328125}, {"start": 1682.97, "end": 1683.39, "word": " ellipse", "probability": 0.6702880859375}, {"start": 1683.39, "end": 1684.07, "word": " ذكرنا", "probability": 0.96337890625}, {"start": 1684.07, "end": 1684.23, "word": " و", "probability": 0.5703125}, {"start": 1684.23, "end": 1684.35, "word": " ال", "probability": 0.46630859375}, {"start": 1684.35, "end": 1684.59, "word": " major", "probability": 0.7880859375}, {"start": 1684.59, "end": 1685.15, "word": " axis", "probability": 0.9716796875}, {"start": 1685.15, "end": 1685.69, "word": " along", "probability": 0.92236328125}, {"start": 1685.69, "end": 1686.01, "word": " the", "probability": 0.7861328125}, {"start": 1686.01, "end": 1686.45, "word": " Y", "probability": 0.65771484375}, {"start": 1686.45, "end": 1687.03, "word": " axis", "probability": 0.55029296875}, {"start": 1687.03, "end": 1687.91, "word": " بدنا", "probability": 0.7301025390625}, {"start": 1687.91, "end": 1688.41, "word": " نرسم", "probability": 0.9943033854166666}, {"start": 1688.41, "end": 1688.81, "word": " يبقى", "probability": 0.92724609375}, {"start": 1688.81, "end": 1689.07, "word": " هذه", "probability": 0.283203125}, {"start": 1689.07, "end": 1689.61, "word": " الرسمة", "probability": 0.9235026041666666}, {"start": 1689.61, "end": 1689.77, "word": " اللي", "probability": 0.881591796875}, {"start": 1689.77, "end": 1690.27, "word": " عندنا", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 71, "seek": 171919, "start": 1692.65, "end": 1719.19, "text": "هذا محور X وهذا محور Y وهذا نقطة الأصل Zero النقطة الأولى Zero خمسة يبقى هذه Zero خمسة النقطة الثانية أربعة و Zero أربعة و Zero اللي هي النقطة اللي عندنا هذه أربعة و Zero يبقى من فوق نزلنا بهذا الشكل إلى أسفل", "tokens": [3224, 15730, 3714, 5016, 13063, 1783, 37037, 15730, 3714, 5016, 13063, 398, 37037, 15730, 8717, 47432, 3660, 16247, 36520, 17182, 28239, 47432, 3660, 16247, 12610, 7578, 17182, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 29538, 17182, 16490, 2304, 3794, 3660, 28239, 47432, 3660, 6024, 104, 7649, 10632, 5551, 25513, 27884, 4032, 17182, 5551, 25513, 27884, 4032, 17182, 13672, 1829, 39896, 28239, 47432, 3660, 13672, 1829, 43242, 8315, 29538, 5551, 25513, 27884, 4032, 17182, 7251, 3555, 4587, 7578, 9154, 6156, 30543, 8717, 11622, 1211, 8315, 39627, 15730, 25124, 28820, 30731, 5551, 3794, 5172, 1211], "avg_logprob": -0.1687499927847009, "compression_ratio": 2.0963855421686746, "no_speech_prob": 0.0, "words": [{"start": 1692.65, "end": 1693.05, "word": "هذا", "probability": 0.7431640625}, {"start": 1693.05, "end": 1693.57, "word": " محور", "probability": 0.91845703125}, {"start": 1693.57, "end": 1694.03, "word": " X", "probability": 0.82275390625}, {"start": 1694.03, "end": 1695.15, "word": " وهذا", "probability": 0.859375}, {"start": 1695.15, "end": 1696.47, "word": " محور", "probability": 0.796875}, {"start": 1696.47, "end": 1696.89, "word": " Y", "probability": 0.9921875}, {"start": 1696.89, "end": 1697.69, "word": " وهذا", "probability": 0.871826171875}, {"start": 1697.69, "end": 1698.11, "word": " نقطة", "probability": 0.8982747395833334}, {"start": 1698.11, "end": 1698.71, "word": " الأصل", "probability": 0.5972900390625}, {"start": 1698.71, "end": 1699.53, "word": " Zero", "probability": 0.0699462890625}, {"start": 1699.53, "end": 1700.63, "word": " النقطة", "probability": 0.92529296875}, {"start": 1700.63, "end": 1701.49, "word": " الأولى", "probability": 0.9768880208333334}, {"start": 1701.49, "end": 1701.83, "word": " Zero", "probability": 0.65478515625}, {"start": 1701.83, "end": 1702.89, "word": " خمسة", "probability": 0.857177734375}, {"start": 1702.89, "end": 1703.89, "word": " يبقى", "probability": 0.82318115234375}, {"start": 1703.89, "end": 1704.33, "word": " هذه", "probability": 0.7568359375}, {"start": 1704.33, "end": 1704.91, "word": " Zero", "probability": 0.80322265625}, {"start": 1704.91, "end": 1705.83, "word": " خمسة", "probability": 0.9849853515625}, {"start": 1705.83, "end": 1707.05, "word": " النقطة", "probability": 0.9684244791666666}, {"start": 1707.05, "end": 1707.77, "word": " الثانية", "probability": 0.958251953125}, {"start": 1707.77, "end": 1708.43, "word": " أربعة", "probability": 0.8328450520833334}, {"start": 1708.43, "end": 1708.61, "word": " و", "probability": 0.87255859375}, {"start": 1708.61, "end": 1709.09, "word": " Zero", "probability": 0.85546875}, {"start": 1709.09, "end": 1710.21, "word": " أربعة", "probability": 0.8466796875}, {"start": 1710.21, "end": 1710.49, "word": " و", "probability": 0.9794921875}, {"start": 1710.49, "end": 1710.71, "word": " Zero", "probability": 0.9677734375}, {"start": 1710.71, "end": 1710.93, "word": " اللي", "probability": 0.49224853515625}, {"start": 1710.93, "end": 1711.03, "word": " هي", "probability": 0.90576171875}, {"start": 1711.03, "end": 1711.53, "word": " النقطة", "probability": 0.9591471354166666}, {"start": 1711.53, "end": 1711.71, "word": " اللي", "probability": 0.8935546875}, {"start": 1711.71, "end": 1712.17, "word": " عندنا", "probability": 0.946044921875}, {"start": 1712.17, "end": 1712.59, "word": " هذه", "probability": 0.72705078125}, {"start": 1712.59, "end": 1713.73, "word": " أربعة", "probability": 0.8468424479166666}, {"start": 1713.73, "end": 1714.09, "word": " و", "probability": 0.9580078125}, {"start": 1714.09, "end": 1714.43, "word": " Zero", "probability": 0.95947265625}, {"start": 1714.43, "end": 1715.31, "word": " يبقى", "probability": 0.962158203125}, {"start": 1715.31, "end": 1715.51, "word": " من", "probability": 0.951171875}, {"start": 1715.51, "end": 1716.19, "word": " فوق", "probability": 0.975830078125}, {"start": 1716.19, "end": 1716.79, "word": " نزلنا", "probability": 0.9697265625}, {"start": 1716.79, "end": 1717.21, "word": " بهذا", "probability": 0.938720703125}, {"start": 1717.21, "end": 1717.77, "word": " الشكل", "probability": 0.987060546875}, {"start": 1717.77, "end": 1718.39, "word": " إلى", "probability": 0.826171875}, {"start": 1718.39, "end": 1719.19, "word": " أسفل", "probability": 0.9818115234375}], "temperature": 1.0}, {"id": 72, "seek": 173526, "start": 1719.98, "end": 1735.26, "text": "النقطة المبعوثة هي الـ zero والسالب خمسة Zero والسالب خمسة تأتي من أين؟ هنا تحت يبقى هذا zero وسالب خمسة يبقى المنحنقة وصل لهنا الشكل اللي عندنا هذا", "tokens": [6027, 1863, 47432, 3660, 9673, 3555, 3615, 2407, 12984, 3660, 39896, 2423, 39184, 4018, 16070, 3794, 6027, 3555, 16490, 2304, 3794, 3660, 17182, 4032, 6027, 3794, 6027, 3555, 16490, 2304, 3794, 3660, 6055, 10721, 31371, 9154, 5551, 9957, 22807, 34105, 6055, 33753, 7251, 3555, 4587, 7578, 23758, 4018, 4032, 3794, 6027, 3555, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 28671, 4032, 36520, 46740, 8315, 25124, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.40848212892358954, "compression_ratio": 1.7248322147651007, "no_speech_prob": 0.0, "words": [{"start": 1719.98, "end": 1720.68, "word": "النقطة", "probability": 0.84423828125}, {"start": 1720.68, "end": 1721.2, "word": " المبعوثة", "probability": 0.60040283203125}, {"start": 1721.2, "end": 1721.22, "word": " هي", "probability": 0.1739501953125}, {"start": 1721.22, "end": 1721.34, "word": " الـ", "probability": 0.44537353515625}, {"start": 1721.34, "end": 1721.56, "word": " zero", "probability": 0.280517578125}, {"start": 1721.56, "end": 1722.36, "word": " والسالب", "probability": 0.68133544921875}, {"start": 1722.36, "end": 1723.14, "word": " خمسة", "probability": 0.94140625}, {"start": 1723.14, "end": 1723.94, "word": " Zero", "probability": 0.11505126953125}, {"start": 1723.94, "end": 1724.64, "word": " والسالب", "probability": 0.705224609375}, {"start": 1724.64, "end": 1725.16, "word": " خمسة", "probability": 0.9881591796875}, {"start": 1725.16, "end": 1725.46, "word": " تأتي", "probability": 0.5325113932291666}, {"start": 1725.46, "end": 1725.64, "word": " من", "probability": 0.30224609375}, {"start": 1725.64, "end": 1726.26, "word": " أين؟", "probability": 0.68603515625}, {"start": 1726.26, "end": 1726.74, "word": " هنا", "probability": 0.15771484375}, {"start": 1726.74, "end": 1727.28, "word": " تحت", "probability": 0.88916015625}, {"start": 1727.28, "end": 1727.68, "word": " يبقى", "probability": 0.73919677734375}, {"start": 1727.68, "end": 1727.98, "word": " هذا", "probability": 0.6806640625}, {"start": 1727.98, "end": 1728.58, "word": " zero", "probability": 0.425048828125}, {"start": 1728.58, "end": 1729.74, "word": " وسالب", "probability": 0.81988525390625}, {"start": 1729.74, "end": 1730.54, "word": " خمسة", "probability": 0.99560546875}, {"start": 1730.54, "end": 1731.3, "word": " يبقى", "probability": 0.9315185546875}, {"start": 1731.3, "end": 1732.22, "word": " المنحنقة", "probability": 0.84423828125}, {"start": 1732.22, "end": 1733.26, "word": " وصل", "probability": 0.80322265625}, {"start": 1733.26, "end": 1733.96, "word": " لهنا", "probability": 0.6571044921875}, {"start": 1733.96, "end": 1734.58, "word": " الشكل", "probability": 0.7705078125}, {"start": 1734.58, "end": 1734.72, "word": " اللي", "probability": 0.875244140625}, {"start": 1734.72, "end": 1735.02, "word": " عندنا", "probability": 0.725830078125}, {"start": 1735.02, "end": 1735.26, "word": " هذا", "probability": 0.8662109375}], "temperature": 1.0}, {"id": 73, "seek": 176101, "start": 1735.79, "end": 1761.01, "text": "اللي بعض النقطة سالب اربعة وزيرو سالب اربعة وزيرو اللي هي النقطة هذه سالب اربعة وزيرو يبقى المنحنة طلع الى اعلى بالشكل هذا النقطة الأخيرة زيرو خمس اليمين النقطة اللى فوق بالشكل اللى عندنا هذا يبقى راسم المنحنة ماضلش عند اللي هي الاتجاه شو رأيك في الاتجاه؟", "tokens": [6027, 20292, 45030, 11242, 28239, 47432, 3660, 8608, 6027, 3555, 1975, 25513, 27884, 4032, 11622, 13546, 2407, 8608, 6027, 3555, 1975, 25513, 27884, 4032, 11622, 13546, 2407, 13672, 1829, 39896, 28239, 47432, 3660, 29538, 8608, 6027, 3555, 1975, 25513, 27884, 4032, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 3660, 23032, 1211, 3615, 2423, 7578, 1975, 3615, 23942, 20666, 8592, 28820, 23758, 28239, 47432, 3660, 16247, 9778, 48923, 30767, 13546, 2407, 16490, 2304, 3794, 2423, 32640, 9957, 28239, 47432, 3660, 13672, 7578, 6156, 30543, 20666, 8592, 28820, 13672, 7578, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 12602, 32277, 2304, 9673, 1863, 5016, 1863, 3660, 3714, 46958, 1211, 8592, 43242, 13672, 1829, 39896, 2423, 9307, 7435, 40294, 13412, 2407, 12602, 10721, 1829, 4117, 8978, 2423, 9307, 7435, 40294, 22807], "avg_logprob": -0.20987216225176147, "compression_ratio": 2.4680851063829787, "no_speech_prob": 0.0, "words": [{"start": 1735.79, "end": 1736.15, "word": "اللي", "probability": 0.26751708984375}, {"start": 1736.15, "end": 1736.57, "word": " بعض", "probability": 0.90087890625}, {"start": 1736.57, "end": 1737.03, "word": " النقطة", "probability": 0.7105305989583334}, {"start": 1737.03, "end": 1737.41, "word": " سالب", "probability": 0.607177734375}, {"start": 1737.41, "end": 1737.85, "word": " اربعة", "probability": 0.7622884114583334}, {"start": 1737.85, "end": 1738.51, "word": " وزيرو", "probability": 0.732666015625}, {"start": 1738.51, "end": 1739.51, "word": " سالب", "probability": 0.8450520833333334}, {"start": 1739.51, "end": 1740.03, "word": " اربعة", "probability": 0.90869140625}, {"start": 1740.03, "end": 1740.49, "word": " وزيرو", "probability": 0.965576171875}, {"start": 1740.49, "end": 1740.67, "word": " اللي", "probability": 0.707275390625}, {"start": 1740.67, "end": 1740.83, "word": " هي", "probability": 0.80126953125}, {"start": 1740.83, "end": 1741.33, "word": " النقطة", "probability": 0.96435546875}, {"start": 1741.33, "end": 1741.75, "word": " هذه", "probability": 0.66064453125}, {"start": 1741.75, "end": 1742.55, "word": " سالب", "probability": 0.8284505208333334}, {"start": 1742.55, "end": 1743.39, "word": " اربعة", "probability": 0.9430338541666666}, {"start": 1743.39, "end": 1744.43, "word": " وزيرو", "probability": 0.9736328125}, {"start": 1744.43, "end": 1745.13, "word": " يبقى", "probability": 0.947021484375}, {"start": 1745.13, "end": 1745.91, "word": " المنحنة", "probability": 0.89873046875}, {"start": 1745.91, "end": 1746.57, "word": " طلع", "probability": 0.7836100260416666}, {"start": 1746.57, "end": 1747.03, "word": " الى", "probability": 0.832763671875}, {"start": 1747.03, "end": 1747.39, "word": " اعلى", "probability": 0.9259440104166666}, {"start": 1747.39, "end": 1747.97, "word": " بالشكل", "probability": 0.9539388020833334}, {"start": 1747.97, "end": 1748.33, "word": " هذا", "probability": 0.87890625}, {"start": 1748.33, "end": 1749.25, "word": " النقطة", "probability": 0.9728190104166666}, {"start": 1749.25, "end": 1749.69, "word": " الأخيرة", "probability": 0.8802083333333334}, {"start": 1749.69, "end": 1750.17, "word": " زيرو", "probability": 0.7005208333333334}, {"start": 1750.17, "end": 1750.67, "word": " خمس", "probability": 0.8256022135416666}, {"start": 1750.67, "end": 1751.39, "word": " اليمين", "probability": 0.6891276041666666}, {"start": 1751.39, "end": 1752.49, "word": " النقطة", "probability": 0.97314453125}, {"start": 1752.49, "end": 1752.67, "word": " اللى", "probability": 0.69287109375}, {"start": 1752.67, "end": 1753.13, "word": " فوق", "probability": 0.99169921875}, {"start": 1753.13, "end": 1753.75, "word": " بالشكل", "probability": 0.9596354166666666}, {"start": 1753.75, "end": 1753.93, "word": " اللى", "probability": 0.96240234375}, {"start": 1753.93, "end": 1754.47, "word": " عندنا", "probability": 0.989013671875}, {"start": 1754.47, "end": 1755.09, "word": " هذا", "probability": 0.9072265625}, {"start": 1755.09, "end": 1755.91, "word": " يبقى", "probability": 0.9801025390625}, {"start": 1755.91, "end": 1756.33, "word": " راسم", "probability": 0.664306640625}, {"start": 1756.33, "end": 1757.19, "word": " المنحنة", "probability": 0.9267578125}, {"start": 1757.19, "end": 1758.11, "word": " ماضلش", "probability": 0.7774658203125}, {"start": 1758.11, "end": 1758.35, "word": " عند", "probability": 0.98828125}, {"start": 1758.35, "end": 1758.63, "word": " اللي", "probability": 0.427001953125}, {"start": 1758.63, "end": 1758.75, "word": " هي", "probability": 0.625}, {"start": 1758.75, "end": 1759.43, "word": " الاتجاه", "probability": 0.906005859375}, {"start": 1759.43, "end": 1759.67, "word": " شو", "probability": 0.836181640625}, {"start": 1759.67, "end": 1760.01, "word": " رأيك", "probability": 0.8665771484375}, {"start": 1760.01, "end": 1760.11, "word": " في", "probability": 0.6875}, {"start": 1760.11, "end": 1761.01, "word": " الاتجاه؟", "probability": 0.949609375}], "temperature": 1.0}, {"id": 74, "seek": 178324, "start": 1762.0, "end": 1783.24, "text": "اه في اتجاه اقارب الساعة يبقى باجي بقوله هنا النقطة التالتة والاخيرة the direction of motion اتجاه الحركة in the clockwise", "tokens": [995, 3224, 8978, 1975, 2655, 7435, 40294, 1975, 4587, 9640, 3555, 21136, 995, 27884, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 28239, 47432, 3660, 16712, 6027, 2655, 3660, 16070, 47283, 48923, 264, 3513, 295, 5394, 1975, 2655, 7435, 40294, 21542, 31747, 3660, 294, 264, 35790], "avg_logprob": -0.23109375298023224, "compression_ratio": 1.3868613138686132, "no_speech_prob": 0.0, "words": [{"start": 1762.0, "end": 1762.46, "word": "اه", "probability": 0.2001953125}, {"start": 1762.46, "end": 1762.64, "word": " في", "probability": 0.56689453125}, {"start": 1762.64, "end": 1763.28, "word": " اتجاه", "probability": 0.9718017578125}, {"start": 1763.28, "end": 1764.62, "word": " اقارب", "probability": 0.83355712890625}, {"start": 1764.62, "end": 1765.32, "word": " الساعة", "probability": 0.98095703125}, {"start": 1765.32, "end": 1766.04, "word": " يبقى", "probability": 0.8939208984375}, {"start": 1766.04, "end": 1766.4, "word": " باجي", "probability": 0.7609049479166666}, {"start": 1766.4, "end": 1767.0, "word": " بقوله", "probability": 0.78759765625}, {"start": 1767.0, "end": 1767.3, "word": " هنا", "probability": 0.7197265625}, {"start": 1767.3, "end": 1767.88, "word": " النقطة", "probability": 0.90576171875}, {"start": 1767.88, "end": 1768.84, "word": " التالتة", "probability": 0.9366455078125}, {"start": 1768.84, "end": 1770.28, "word": " والاخيرة", "probability": 0.8191731770833334}, {"start": 1770.28, "end": 1770.8, "word": " the", "probability": 0.2127685546875}, {"start": 1770.8, "end": 1772.5, "word": " direction", "probability": 0.97216796875}, {"start": 1772.5, "end": 1775.04, "word": " of", "probability": 0.9794921875}, {"start": 1775.04, "end": 1777.02, "word": " motion", "probability": 0.97509765625}, {"start": 1777.02, "end": 1778.42, "word": " اتجاه", "probability": 0.9539794921875}, {"start": 1778.42, "end": 1779.84, "word": " الحركة", "probability": 0.9864908854166666}, {"start": 1779.84, "end": 1780.4, "word": " in", "probability": 0.9541015625}, {"start": 1780.4, "end": 1781.68, "word": " the", "probability": 0.927734375}, {"start": 1781.68, "end": 1783.24, "word": " clockwise", "probability": 0.76953125}], "temperature": 1.0}, {"id": 75, "seek": 181378, "start": 1788.98, "end": 1813.78, "text": "يبقى في اتجاه عقارب الساعة مثال الخامس", "tokens": [1829, 3555, 4587, 7578, 8978, 1975, 2655, 7435, 40294, 6225, 4587, 9640, 3555, 21136, 995, 27884, 50113, 6027, 33962, 10943, 3794], "avg_logprob": -0.08664772388609973, "compression_ratio": 1.0606060606060606, "no_speech_prob": 0.0, "words": [{"start": 1788.98, "end": 1789.44, "word": "يبقى", "probability": 0.8292236328125}, {"start": 1789.44, "end": 1789.54, "word": " في", "probability": 0.79541015625}, {"start": 1789.54, "end": 1790.32, "word": " اتجاه", "probability": 0.974365234375}, {"start": 1790.32, "end": 1791.5, "word": " عقارب", "probability": 0.942626953125}, {"start": 1791.5, "end": 1792.48, "word": " الساعة", "probability": 0.9768880208333334}, {"start": 1792.48, "end": 1813.1, "word": " مثال", "probability": 0.948974609375}, {"start": 1813.1, "end": 1813.78, "word": " الخامس", "probability": 0.9752604166666666}], "temperature": 1.0}, {"id": 76, "seek": 184241, "start": 1838.65, "end": 1842.41, "text": "خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة", "tokens": [9778, 2304, 3794, 3660, 16490, 2304, 3794, 3660, 16490, 2304, 3794, 3660, 16490, 2304, 3794, 3660, 16490, 2304, 3794, 3660, 16490, 2304, 3794, 3660, 16490, 2304, 3794, 3660, 16490, 2304, 3794, 3660, 16490, 2304, 3794, 3660, 16490, 2304, 3794, 3660], "avg_logprob": -0.3153582317073171, "compression_ratio": 4.238095238095238, "no_speech_prob": 0.0, "words": [{"start": 1838.6499999999999, "end": 1840.05, "word": "خمسة", "probability": 0.8092041015625}, {"start": 1840.05, "end": 1841.45, "word": " خمسة", "probability": 0.62646484375}, {"start": 1841.45, "end": 1841.45, "word": " خمسة", "probability": 0.77227783203125}, {"start": 1841.45, "end": 1842.37, "word": " خمسة", "probability": 0.829833984375}, {"start": 1842.37, "end": 1842.39, "word": " خمسة", "probability": 0.865478515625}, {"start": 1842.39, "end": 1842.41, "word": " خمسة", "probability": 0.900390625}, {"start": 1842.41, "end": 1842.41, "word": " خمسة", "probability": 0.9248046875}, {"start": 1842.41, "end": 1842.41, "word": " خمسة", "probability": 0.939697265625}, {"start": 1842.41, "end": 1842.41, "word": " خمسة", "probability": 0.94921875}, {"start": 1842.41, "end": 1842.41, "word": " خمسة", "probability": 0.955078125}], "temperature": 1.0}, {"id": 77, "seek": 187115, "start": 1854.81, "end": 1871.15, "text": "بدا اجيب النقطة الأولى بدي اضايقها تيما بين ال X والY بقى انا بدي علاقة بتربط السك مع التان تان تربيه زاد واحد يساوي السك تربيه", "tokens": [3555, 28259, 1975, 7435, 1829, 3555, 28239, 47432, 3660, 16247, 12610, 7578, 4724, 16254, 1975, 11242, 47302, 4587, 11296, 6055, 1829, 15042, 49374, 2423, 1783, 16070, 56, 4724, 4587, 7578, 1975, 8315, 4724, 16254, 11203, 995, 28671, 39894, 25513, 9566, 21136, 4117, 20449, 16712, 7649, 6055, 7649, 6055, 2288, 21292, 3224, 30767, 18513, 36764, 24401, 7251, 3794, 995, 45865, 21136, 4117, 6055, 2288, 21292, 3224], "avg_logprob": -0.4029356168978142, "compression_ratio": 1.6691176470588236, "no_speech_prob": 0.0, "words": [{"start": 1854.81, "end": 1855.15, "word": "بدا", "probability": 0.1832275390625}, {"start": 1855.15, "end": 1855.41, "word": " اجيب", "probability": 0.66845703125}, {"start": 1855.41, "end": 1855.87, "word": " النقطة", "probability": 0.9187825520833334}, {"start": 1855.87, "end": 1856.47, "word": " الأولى", "probability": 0.8681640625}, {"start": 1856.47, "end": 1857.61, "word": " بدي", "probability": 0.4989013671875}, {"start": 1857.61, "end": 1858.31, "word": " اضايقها", "probability": 0.733935546875}, {"start": 1858.31, "end": 1858.75, "word": " تيما", "probability": 0.6193033854166666}, {"start": 1858.75, "end": 1859.05, "word": " بين", "probability": 0.96240234375}, {"start": 1859.05, "end": 1859.21, "word": " ال", "probability": 0.95703125}, {"start": 1859.21, "end": 1859.49, "word": " X", "probability": 0.6015625}, {"start": 1859.49, "end": 1860.13, "word": " والY", "probability": 0.520263671875}, {"start": 1860.13, "end": 1860.45, "word": " بقى", "probability": 0.5716145833333334}, {"start": 1860.45, "end": 1860.81, "word": " انا", "probability": 0.78076171875}, {"start": 1860.81, "end": 1861.31, "word": " بدي", "probability": 0.85302734375}, {"start": 1861.31, "end": 1862.01, "word": " علاقة", "probability": 0.785400390625}, {"start": 1862.01, "end": 1862.87, "word": " بتربط", "probability": 0.9205729166666666}, {"start": 1862.87, "end": 1863.69, "word": " السك", "probability": 0.31060791015625}, {"start": 1863.69, "end": 1863.99, "word": " مع", "probability": 0.98291015625}, {"start": 1863.99, "end": 1864.61, "word": " التان", "probability": 0.81982421875}, {"start": 1864.61, "end": 1868.11, "word": " تان", "probability": 0.42138671875}, {"start": 1868.11, "end": 1868.73, "word": " تربيه", "probability": 0.73516845703125}, {"start": 1868.73, "end": 1869.45, "word": " زاد", "probability": 0.69091796875}, {"start": 1869.45, "end": 1869.85, "word": " واحد", "probability": 0.9873046875}, {"start": 1869.85, "end": 1870.23, "word": " يساوي", "probability": 0.683990478515625}, {"start": 1870.23, "end": 1870.59, "word": " السك", "probability": 0.933349609375}, {"start": 1870.59, "end": 1871.15, "word": " تربيه", "probability": 0.927734375}], "temperature": 1.0}, {"id": 78, "seek": 189580, "start": 1872.06, "end": 1895.8, "text": "سك تربيع ناقص تان تربيع يساوي واحد وبالتالي يتخلص من الشغل هذه يبقى انا عند السك تربيع ناقص تان تربيع ان انتوا بده اربع الطرفين يبقى لو اخدت X تربيع ناقص Y تربيع هتساوي سك تربيتي ناقص تان تربيتي", "tokens": [3794, 4117, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 6055, 7649, 6055, 2288, 21292, 3615, 7251, 3794, 995, 45865, 36764, 24401, 46599, 6027, 2655, 6027, 1829, 7251, 2655, 9778, 1211, 9381, 9154, 25124, 17082, 1211, 29538, 7251, 3555, 4587, 7578, 1975, 8315, 43242, 21136, 4117, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 6055, 7649, 6055, 2288, 21292, 3615, 16472, 16472, 2655, 14407, 47525, 3224, 1975, 25513, 3615, 41950, 28480, 9957, 7251, 3555, 4587, 7578, 45164, 1975, 9778, 3215, 2655, 1783, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 398, 6055, 2288, 21292, 3615, 8032, 2655, 3794, 995, 45865, 8608, 4117, 6055, 2288, 21292, 31371, 8717, 995, 4587, 9381, 6055, 7649, 6055, 2288, 21292, 31371], "avg_logprob": -0.19764956602683434, "compression_ratio": 2.21656050955414, "no_speech_prob": 0.0, "words": [{"start": 1872.06, "end": 1872.62, "word": "سك", "probability": 0.3973388671875}, {"start": 1872.62, "end": 1873.44, "word": " تربيع", "probability": 0.73822021484375}, {"start": 1873.44, "end": 1874.16, "word": " ناقص", "probability": 0.920166015625}, {"start": 1874.16, "end": 1874.56, "word": " تان", "probability": 0.930908203125}, {"start": 1874.56, "end": 1875.26, "word": " تربيع", "probability": 0.847412109375}, {"start": 1875.26, "end": 1875.82, "word": " يساوي", "probability": 0.74542236328125}, {"start": 1875.82, "end": 1876.18, "word": " واحد", "probability": 0.988037109375}, {"start": 1876.18, "end": 1876.82, "word": " وبالتالي", "probability": 0.885546875}, {"start": 1876.82, "end": 1877.36, "word": " يتخلص", "probability": 0.92685546875}, {"start": 1877.36, "end": 1877.48, "word": " من", "probability": 0.9541015625}, {"start": 1877.48, "end": 1877.94, "word": " الشغل", "probability": 0.7314453125}, {"start": 1877.94, "end": 1878.26, "word": " هذه", "probability": 0.354248046875}, {"start": 1878.26, "end": 1879.58, "word": " يبقى", "probability": 0.8563232421875}, {"start": 1879.58, "end": 1880.12, "word": " انا", "probability": 0.6583251953125}, {"start": 1880.12, "end": 1880.42, "word": " عند", "probability": 0.82470703125}, {"start": 1880.42, "end": 1881.0, "word": " السك", "probability": 0.6053466796875}, {"start": 1881.0, "end": 1881.66, "word": " تربيع", "probability": 0.92822265625}, {"start": 1881.66, "end": 1882.16, "word": " ناقص", "probability": 0.9888916015625}, {"start": 1882.16, "end": 1882.46, "word": " تان", "probability": 0.990234375}, {"start": 1882.46, "end": 1882.82, "word": " تربيع", "probability": 0.9384765625}, {"start": 1882.82, "end": 1882.98, "word": " ان", "probability": 0.283935546875}, {"start": 1882.98, "end": 1883.22, "word": " انتوا", "probability": 0.6739908854166666}, {"start": 1883.22, "end": 1883.54, "word": " بده", "probability": 0.5382080078125}, {"start": 1883.54, "end": 1884.22, "word": " اربع", "probability": 0.92919921875}, {"start": 1884.22, "end": 1885.48, "word": " الطرفين", "probability": 0.94580078125}, {"start": 1885.48, "end": 1886.28, "word": " يبقى", "probability": 0.95556640625}, {"start": 1886.28, "end": 1886.48, "word": " لو", "probability": 0.77294921875}, {"start": 1886.48, "end": 1887.24, "word": " اخدت", "probability": 0.794189453125}, {"start": 1887.24, "end": 1887.62, "word": " X", "probability": 0.425537109375}, {"start": 1887.62, "end": 1888.46, "word": " تربيع", "probability": 0.8795166015625}, {"start": 1888.46, "end": 1889.18, "word": " ناقص", "probability": 0.9942626953125}, {"start": 1889.18, "end": 1889.46, "word": " Y", "probability": 0.9921875}, {"start": 1889.46, "end": 1890.16, "word": " تربيع", "probability": 0.952880859375}, {"start": 1890.16, "end": 1891.32, "word": " هتساوي", "probability": 0.89404296875}, {"start": 1891.32, "end": 1891.92, "word": " سك", "probability": 0.85546875}, {"start": 1891.92, "end": 1893.16, "word": " تربيتي", "probability": 0.8575439453125}, {"start": 1893.16, "end": 1894.24, "word": " ناقص", "probability": 0.9393310546875}, {"start": 1894.24, "end": 1894.74, "word": " تان", "probability": 0.989990234375}, {"start": 1894.74, "end": 1895.8, "word": " تربيتي", "probability": 0.916015625}], "temperature": 1.0}, {"id": 79, "seek": 191888, "start": 1896.46, "end": 1918.88, "text": "هذا معناه ان X تربية ناقص Y تربية تساوي كم؟ تساوي واحد، معادلة ايش هذه؟ قطع زائد Hyperabula يبقى هذه equation of Hyperabula", "tokens": [3224, 15730, 20449, 8315, 3224, 16472, 1783, 6055, 25513, 10632, 8717, 995, 4587, 9381, 398, 6055, 25513, 10632, 6055, 3794, 995, 45865, 9122, 2304, 22807, 6055, 3794, 995, 45865, 36764, 24401, 12399, 20449, 18513, 37977, 1975, 1829, 8592, 29538, 22807, 12174, 9566, 3615, 30767, 16373, 3215, 29592, 455, 3780, 7251, 3555, 4587, 7578, 29538, 5367, 295, 29592, 455, 3780], "avg_logprob": -0.2635416626930237, "compression_ratio": 1.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 1896.46, "end": 1896.9, "word": "هذا", "probability": 0.791259765625}, {"start": 1896.9, "end": 1897.68, "word": " معناه", "probability": 0.8497721354166666}, {"start": 1897.68, "end": 1898.02, "word": " ان", "probability": 0.763671875}, {"start": 1898.02, "end": 1898.52, "word": " X", "probability": 0.278076171875}, {"start": 1898.52, "end": 1899.22, "word": " تربية", "probability": 0.8102213541666666}, {"start": 1899.22, "end": 1900.3, "word": " ناقص", "probability": 0.8260498046875}, {"start": 1900.3, "end": 1900.58, "word": " Y", "probability": 0.8896484375}, {"start": 1900.58, "end": 1901.08, "word": " تربية", "probability": 0.9611002604166666}, {"start": 1901.08, "end": 1901.64, "word": " تساوي", "probability": 0.8702392578125}, {"start": 1901.64, "end": 1902.48, "word": " كم؟", "probability": 0.6219889322916666}, {"start": 1902.48, "end": 1903.4, "word": " تساوي", "probability": 0.9483642578125}, {"start": 1903.4, "end": 1903.92, "word": " واحد،", "probability": 0.6806640625}, {"start": 1903.92, "end": 1904.5, "word": " معادلة", "probability": 0.8693033854166666}, {"start": 1904.5, "end": 1904.82, "word": " ايش", "probability": 0.7290852864583334}, {"start": 1904.82, "end": 1906.26, "word": " هذه؟", "probability": 0.705810546875}, {"start": 1906.26, "end": 1909.44, "word": " قطع", "probability": 0.7307942708333334}, {"start": 1909.44, "end": 1910.24, "word": " زائد", "probability": 0.8987630208333334}, {"start": 1910.24, "end": 1911.74, "word": " Hyperabula", "probability": 0.45751953125}, {"start": 1911.74, "end": 1913.04, "word": " يبقى", "probability": 0.9239501953125}, {"start": 1913.04, "end": 1913.5, "word": " هذه", "probability": 0.712890625}, {"start": 1913.5, "end": 1914.62, "word": " equation", "probability": 0.92041015625}, {"start": 1914.62, "end": 1916.14, "word": " of", "probability": 0.939453125}, {"start": 1916.14, "end": 1918.88, "word": " Hyperabula", "probability": 0.89697265625}], "temperature": 1.0}, {"id": 80, "seek": 194754, "start": 1919.92, "end": 1947.54, "text": "يبقى قطع زائد هذه معادلة اللي هو قطع زائد القطع الزائد اللي هو محور الرئيسي ومحور ثانوي المحور الرئيسي هل هو في اتجاه ال X ولا Y؟ ويبقى هذا with center at the origin and", "tokens": [1829, 3555, 4587, 7578, 12174, 9566, 3615, 30767, 16373, 3215, 29538, 20449, 18513, 37977, 13672, 1829, 31439, 12174, 9566, 3615, 30767, 16373, 3215, 25062, 9566, 3615, 6024, 110, 16373, 3215, 13672, 1829, 31439, 3714, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 4032, 2304, 5016, 13063, 38637, 7649, 45865, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 8032, 1211, 31439, 8978, 1975, 2655, 7435, 40294, 2423, 1783, 49429, 398, 22807, 4032, 1829, 3555, 4587, 7578, 23758, 365, 3056, 412, 264, 4957, 293], "avg_logprob": -0.1264291094934068, "compression_ratio": 1.7160493827160495, "no_speech_prob": 0.0, "words": [{"start": 1919.92, "end": 1920.42, "word": "يبقى", "probability": 0.84765625}, {"start": 1920.42, "end": 1921.0, "word": " قطع", "probability": 0.95361328125}, {"start": 1921.0, "end": 1922.06, "word": " زائد", "probability": 0.8937174479166666}, {"start": 1922.06, "end": 1922.78, "word": " هذه", "probability": 0.71728515625}, {"start": 1922.78, "end": 1923.72, "word": " معادلة", "probability": 0.97998046875}, {"start": 1923.72, "end": 1924.38, "word": " اللي", "probability": 0.77392578125}, {"start": 1924.38, "end": 1924.62, "word": " هو", "probability": 0.95068359375}, {"start": 1924.62, "end": 1925.3, "word": " قطع", "probability": 0.9752604166666666}, {"start": 1925.3, "end": 1926.26, "word": " زائد", "probability": 0.9713541666666666}, {"start": 1926.26, "end": 1927.2, "word": " القطع", "probability": 0.96240234375}, {"start": 1927.2, "end": 1927.64, "word": " الزائد", "probability": 0.9371337890625}, {"start": 1927.64, "end": 1927.78, "word": " اللي", "probability": 0.6912841796875}, {"start": 1927.78, "end": 1927.88, "word": " هو", "probability": 0.84619140625}, {"start": 1927.88, "end": 1928.2, "word": " محور", "probability": 0.9654947916666666}, {"start": 1928.2, "end": 1928.7, "word": " الرئيسي", "probability": 0.9431640625}, {"start": 1928.7, "end": 1929.2, "word": " ومحور", "probability": 0.9326171875}, {"start": 1929.2, "end": 1929.88, "word": " ثانوي", "probability": 0.98193359375}, {"start": 1929.88, "end": 1930.9, "word": " المحور", "probability": 0.9777018229166666}, {"start": 1930.9, "end": 1931.58, "word": " الرئيسي", "probability": 0.99033203125}, {"start": 1931.58, "end": 1931.8, "word": " هل", "probability": 0.942138671875}, {"start": 1931.8, "end": 1931.92, "word": " هو", "probability": 0.99365234375}, {"start": 1931.92, "end": 1932.1, "word": " في", "probability": 0.92578125}, {"start": 1932.1, "end": 1932.5, "word": " اتجاه", "probability": 0.929931640625}, {"start": 1932.5, "end": 1932.68, "word": " ال", "probability": 0.8857421875}, {"start": 1932.68, "end": 1932.94, "word": " X", "probability": 0.609375}, {"start": 1932.94, "end": 1933.26, "word": " ولا", "probability": 0.74365234375}, {"start": 1933.26, "end": 1934.32, "word": " Y؟", "probability": 0.503662109375}, {"start": 1934.32, "end": 1938.68, "word": " ويبقى", "probability": 0.86201171875}, {"start": 1938.68, "end": 1939.1, "word": " هذا", "probability": 0.489990234375}, {"start": 1939.1, "end": 1939.84, "word": " with", "probability": 0.69873046875}, {"start": 1939.84, "end": 1941.66, "word": " center", "probability": 0.5283203125}, {"start": 1941.66, "end": 1943.24, "word": " at", "probability": 0.95068359375}, {"start": 1943.24, "end": 1944.34, "word": " the", "probability": 0.87109375}, {"start": 1944.34, "end": 1945.24, "word": " origin", "probability": 0.9599609375}, {"start": 1945.24, "end": 1947.54, "word": " and", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 81, "seek": 195989, "start": 1949.03, "end": 1959.89, "text": "focal axis أو major axis محور بُقري along مين؟", "tokens": [69, 36483, 10298, 34051, 2563, 10298, 3714, 5016, 13063, 4724, 10859, 4587, 16572, 2051, 3714, 9957, 22807], "avg_logprob": -0.3658854067325592, "compression_ratio": 0.9242424242424242, "no_speech_prob": 0.0, "words": [{"start": 1949.03, "end": 1949.71, "word": "focal", "probability": 0.68603515625}, {"start": 1949.71, "end": 1950.25, "word": " axis", "probability": 0.90966796875}, {"start": 1950.25, "end": 1950.65, "word": " أو", "probability": 0.71435546875}, {"start": 1950.65, "end": 1951.19, "word": " major", "probability": 0.91162109375}, {"start": 1951.19, "end": 1952.29, "word": " axis", "probability": 0.97021484375}, {"start": 1952.29, "end": 1955.53, "word": " محور", "probability": 0.74267578125}, {"start": 1955.53, "end": 1956.59, "word": " بُقري", "probability": 0.62286376953125}, {"start": 1956.59, "end": 1957.91, "word": " along", "probability": 0.9228515625}, {"start": 1957.91, "end": 1959.89, "word": " مين؟", "probability": 0.7708333333333334}], "temperature": 1.0}, {"id": 82, "seek": 198072, "start": 1960.94, "end": 1980.72, "text": "الـ X-Axis يعني بندور على صاحب الإشارة الموجبة وبهمنيش إيش يكون المقام، هدول مقامين زي بعض ممكن مايكونوش زي بعض، كله بهمنيش، بهمني صاحب الإشارة الموجبة طيب تمام، بدنا نيجي للنقطة الأولى", "tokens": [6027, 39184, 1783, 12, 32, 39637, 37495, 22653, 44945, 3215, 13063, 15844, 20328, 39319, 3555, 33688, 8592, 9640, 3660, 9673, 29245, 49401, 46599, 16095, 22653, 8592, 11933, 1829, 8592, 7251, 30544, 9673, 4587, 10943, 12399, 8032, 3215, 12610, 3714, 4587, 10943, 9957, 30767, 1829, 45030, 11242, 3714, 43020, 19446, 1829, 30544, 2407, 8592, 30767, 1829, 45030, 11242, 12399, 28242, 3224, 4724, 16095, 22653, 8592, 12399, 4724, 16095, 22653, 20328, 39319, 3555, 33688, 8592, 9640, 3660, 9673, 29245, 49401, 23032, 1829, 3555, 46811, 10943, 12399, 47525, 8315, 8717, 1829, 7435, 1829, 24976, 1863, 47432, 3660, 16247, 12610, 7578], "avg_logprob": -0.1672512771827834, "compression_ratio": 1.8603351955307263, "no_speech_prob": 0.0, "words": [{"start": 1960.94, "end": 1961.42, "word": "الـ", "probability": 0.539794921875}, {"start": 1961.42, "end": 1961.78, "word": " X", "probability": 0.560546875}, {"start": 1961.78, "end": 1962.42, "word": "-Axis", "probability": 0.47314453125}, {"start": 1962.42, "end": 1962.86, "word": " يعني", "probability": 0.90283203125}, {"start": 1962.86, "end": 1963.7, "word": " بندور", "probability": 0.7511393229166666}, {"start": 1963.7, "end": 1964.34, "word": " على", "probability": 0.9287109375}, {"start": 1964.34, "end": 1964.92, "word": " صاحب", "probability": 0.98974609375}, {"start": 1964.92, "end": 1965.92, "word": " الإشارة", "probability": 0.979736328125}, {"start": 1965.92, "end": 1967.0, "word": " الموجبة", "probability": 0.96728515625}, {"start": 1967.0, "end": 1968.16, "word": " وبهمنيش", "probability": 0.666534423828125}, {"start": 1968.16, "end": 1968.44, "word": " إيش", "probability": 0.8152669270833334}, {"start": 1968.44, "end": 1968.82, "word": " يكون", "probability": 0.986572265625}, {"start": 1968.82, "end": 1969.82, "word": " المقام،", "probability": 0.8284912109375}, {"start": 1969.82, "end": 1970.36, "word": " هدول", "probability": 0.8766276041666666}, {"start": 1970.36, "end": 1970.94, "word": " مقامين", "probability": 0.8917236328125}, {"start": 1970.94, "end": 1971.2, "word": " زي", "probability": 0.937255859375}, {"start": 1971.2, "end": 1971.44, "word": " بعض", "probability": 0.99658203125}, {"start": 1971.44, "end": 1971.78, "word": " ممكن", "probability": 0.978271484375}, {"start": 1971.78, "end": 1972.44, "word": " مايكونوش", "probability": 0.88359375}, {"start": 1972.44, "end": 1972.72, "word": " زي", "probability": 0.990234375}, {"start": 1972.72, "end": 1973.18, "word": " بعض،", "probability": 0.9256184895833334}, {"start": 1973.18, "end": 1973.48, "word": " كله", "probability": 0.8837890625}, {"start": 1973.48, "end": 1974.38, "word": " بهمنيش،", "probability": 0.816796875}, {"start": 1974.38, "end": 1974.84, "word": " بهمني", "probability": 0.9549153645833334}, {"start": 1974.84, "end": 1975.3, "word": " صاحب", "probability": 0.9921875}, {"start": 1975.3, "end": 1976.16, "word": " الإشارة", "probability": 0.9954833984375}, {"start": 1976.16, "end": 1977.2, "word": " الموجبة", "probability": 0.9938151041666666}, {"start": 1977.2, "end": 1978.14, "word": " طيب", "probability": 0.8400065104166666}, {"start": 1978.14, "end": 1978.78, "word": " تمام،", "probability": 0.9264322916666666}, {"start": 1978.78, "end": 1979.04, "word": " بدنا", "probability": 0.63134765625}, {"start": 1979.04, "end": 1979.3, "word": " نيجي", "probability": 0.9136962890625}, {"start": 1979.3, "end": 1980.1, "word": " للنقطة", "probability": 0.9259033203125}, {"start": 1980.1, "end": 1980.72, "word": " الأولى", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 83, "seek": 199948, "start": 1981.28, "end": 1999.48, "text": "بداجة النقطة الثانية يبقى بداجة أقوله لو كانت ال T تساوي بقدر أحط by على 2؟ لأ لأنه لا السك وولا حتى ال turn معرف عند ال by على 2 يا أخي ليش ال by؟ خش لجوا في الفترة شوية", "tokens": [3555, 28259, 7435, 3660, 28239, 47432, 3660, 6024, 104, 7649, 10632, 7251, 3555, 4587, 7578, 4724, 28259, 7435, 3660, 5551, 39648, 3224, 45164, 25961, 2655, 2423, 314, 6055, 3794, 995, 45865, 4724, 28543, 2288, 5551, 5016, 9566, 538, 15844, 568, 22807, 5296, 10721, 5296, 33456, 3224, 20193, 21136, 4117, 4032, 12610, 995, 11331, 49975, 2423, 1261, 20449, 28480, 43242, 2423, 538, 15844, 568, 35186, 5551, 9778, 1829, 32239, 8592, 2423, 538, 22807, 16490, 8592, 5296, 7435, 14407, 8978, 27188, 2655, 25720, 13412, 2407, 10632], "avg_logprob": -0.2891544131671681, "compression_ratio": 1.6, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1981.28, "end": 1982.06, "word": "بداجة", "probability": 0.63775634765625}, {"start": 1982.06, "end": 1982.76, "word": " النقطة", "probability": 0.95703125}, {"start": 1982.76, "end": 1983.4, "word": " الثانية", "probability": 0.96240234375}, {"start": 1983.4, "end": 1983.9, "word": " يبقى", "probability": 0.9141845703125}, {"start": 1983.9, "end": 1984.42, "word": " بداجة", "probability": 0.922119140625}, {"start": 1984.42, "end": 1984.88, "word": " أقوله", "probability": 0.7054036458333334}, {"start": 1984.88, "end": 1985.16, "word": " لو", "probability": 0.8916015625}, {"start": 1985.16, "end": 1985.84, "word": " كانت", "probability": 0.90869140625}, {"start": 1985.84, "end": 1986.1, "word": " ال", "probability": 0.73291015625}, {"start": 1986.1, "end": 1986.34, "word": " T", "probability": 0.81494140625}, {"start": 1986.34, "end": 1987.18, "word": " تساوي", "probability": 0.8712158203125}, {"start": 1987.18, "end": 1988.02, "word": " بقدر", "probability": 0.90576171875}, {"start": 1988.02, "end": 1988.38, "word": " أحط", "probability": 0.9124348958333334}, {"start": 1988.38, "end": 1988.88, "word": " by", "probability": 0.0243377685546875}, {"start": 1988.88, "end": 1989.18, "word": " على", "probability": 0.89208984375}, {"start": 1989.18, "end": 1989.94, "word": " 2؟", "probability": 0.705810546875}, {"start": 1989.94, "end": 1990.98, "word": " لأ", "probability": 0.82861328125}, {"start": 1990.98, "end": 1991.48, "word": " لأنه", "probability": 0.6243489583333334}, {"start": 1991.48, "end": 1991.74, "word": " لا", "probability": 0.88037109375}, {"start": 1991.74, "end": 1992.62, "word": " السك", "probability": 0.5806884765625}, {"start": 1992.62, "end": 1993.08, "word": " وولا", "probability": 0.6458333333333334}, {"start": 1993.08, "end": 1993.66, "word": " حتى", "probability": 0.9423828125}, {"start": 1993.66, "end": 1994.32, "word": " ال", "probability": 0.78076171875}, {"start": 1994.32, "end": 1994.58, "word": " turn", "probability": 0.269775390625}, {"start": 1994.58, "end": 1995.06, "word": " معرف", "probability": 0.865234375}, {"start": 1995.06, "end": 1995.4, "word": " عند", "probability": 0.5908203125}, {"start": 1995.4, "end": 1995.58, "word": " ال", "probability": 0.8203125}, {"start": 1995.58, "end": 1996.04, "word": " by", "probability": 0.74609375}, {"start": 1996.04, "end": 1996.26, "word": " على", "probability": 0.91259765625}, {"start": 1996.26, "end": 1996.48, "word": " 2", "probability": 0.9775390625}, {"start": 1996.48, "end": 1996.74, "word": " يا", "probability": 0.69482421875}, {"start": 1996.74, "end": 1996.9, "word": " أخي", "probability": 0.92529296875}, {"start": 1996.9, "end": 1997.18, "word": " ليش", "probability": 0.97412109375}, {"start": 1997.18, "end": 1997.36, "word": " ال", "probability": 0.463134765625}, {"start": 1997.36, "end": 1997.74, "word": " by؟", "probability": 0.7216796875}, {"start": 1997.74, "end": 1998.04, "word": " خش", "probability": 0.33740234375}, {"start": 1998.04, "end": 1998.46, "word": " لجوا", "probability": 0.72509765625}, {"start": 1998.46, "end": 1998.62, "word": " في", "probability": 0.75732421875}, {"start": 1998.62, "end": 1999.04, "word": " الفترة", "probability": 0.99169921875}, {"start": 1999.04, "end": 1999.48, "word": " شوية", "probability": 0.8541666666666666}], "temperature": 1.0}, {"id": 84, "seek": 202458, "start": 2000.14, "end": 2024.58, "text": "سالب اعطني سالب تسعين، قول سالب تمانين، سالب سبعين، بس هم اللي بدهم ايش؟ Calculator، احنا بناخد زوايا ليس بالضروري يكون عندي Calculator، يبقى لو أخدت سالب باي على أربع، يبقى then XY تساوي، حطلي سالب باي على أربع، ال", "tokens": [3794, 6027, 3555, 1975, 3615, 9566, 22653, 8608, 6027, 3555, 6055, 3794, 3615, 9957, 12399, 12174, 12610, 8608, 6027, 3555, 46811, 7649, 9957, 12399, 8608, 6027, 3555, 8608, 3555, 3615, 9957, 12399, 4724, 3794, 8032, 2304, 13672, 1829, 47525, 16095, 1975, 1829, 8592, 22807, 3511, 2444, 1639, 12399, 1975, 5016, 8315, 44945, 47283, 3215, 30767, 14407, 25528, 32239, 3794, 20666, 11242, 2288, 13063, 1829, 7251, 30544, 18871, 16254, 3511, 2444, 1639, 12399, 7251, 3555, 4587, 7578, 45164, 5551, 9778, 3215, 2655, 8608, 6027, 3555, 4724, 47302, 15844, 5551, 25513, 3615, 12399, 7251, 3555, 4587, 7578, 550, 48826, 6055, 3794, 995, 45865, 12399, 11331, 9566, 20292, 8608, 6027, 3555, 4724, 47302, 15844, 5551, 25513, 3615, 12399, 2423], "avg_logprob": -0.276976499802027, "compression_ratio": 1.8341708542713568, "no_speech_prob": 0.0, "words": [{"start": 2000.14, "end": 2001.34, "word": "سالب", "probability": 0.5633951822916666}, {"start": 2001.34, "end": 2001.68, "word": " اعطني", "probability": 0.556640625}, {"start": 2001.68, "end": 2002.04, "word": " سالب", "probability": 0.9347330729166666}, {"start": 2002.04, "end": 2002.58, "word": " تسعين،", "probability": 0.815380859375}, {"start": 2002.58, "end": 2002.76, "word": " قول", "probability": 0.581298828125}, {"start": 2002.76, "end": 2003.2, "word": " سالب", "probability": 0.9695638020833334}, {"start": 2003.2, "end": 2004.0, "word": " تمانين،", "probability": 0.8741455078125}, {"start": 2004.0, "end": 2004.4, "word": " سالب", "probability": 0.9820963541666666}, {"start": 2004.4, "end": 2005.5, "word": " سبعين،", "probability": 0.94287109375}, {"start": 2005.5, "end": 2005.72, "word": " بس", "probability": 0.869384765625}, {"start": 2005.72, "end": 2005.9, "word": " هم", "probability": 0.5045166015625}, {"start": 2005.9, "end": 2006.04, "word": " اللي", "probability": 0.78271484375}, {"start": 2006.04, "end": 2006.28, "word": " بدهم", "probability": 0.5677490234375}, {"start": 2006.28, "end": 2006.88, "word": " ايش؟", "probability": 0.67535400390625}, {"start": 2006.88, "end": 2008.06, "word": " Calculator،", "probability": 0.630157470703125}, {"start": 2008.06, "end": 2008.6, "word": " احنا", "probability": 0.9659830729166666}, {"start": 2008.6, "end": 2009.1, "word": " بناخد", "probability": 0.9586588541666666}, {"start": 2009.1, "end": 2009.56, "word": " زوايا", "probability": 0.8154296875}, {"start": 2009.56, "end": 2009.94, "word": " ليس", "probability": 0.84228515625}, {"start": 2009.94, "end": 2010.5, "word": " بالضروري", "probability": 0.82607421875}, {"start": 2010.5, "end": 2010.78, "word": " يكون", "probability": 0.912353515625}, {"start": 2010.78, "end": 2011.08, "word": " عندي", "probability": 0.871826171875}, {"start": 2011.08, "end": 2012.32, "word": " Calculator،", "probability": 0.7061767578125}, {"start": 2012.32, "end": 2012.78, "word": " يبقى", "probability": 0.9766845703125}, {"start": 2012.78, "end": 2012.98, "word": " لو", "probability": 0.923828125}, {"start": 2012.98, "end": 2013.68, "word": " أخدت", "probability": 0.8720703125}, {"start": 2013.68, "end": 2014.22, "word": " سالب", "probability": 0.96875}, {"start": 2014.22, "end": 2014.52, "word": " باي", "probability": 0.5509033203125}, {"start": 2014.52, "end": 2014.78, "word": " على", "probability": 0.84521484375}, {"start": 2014.78, "end": 2016.3, "word": " أربع،", "probability": 0.7686767578125}, {"start": 2016.3, "end": 2017.02, "word": " يبقى", "probability": 0.9915771484375}, {"start": 2017.02, "end": 2017.54, "word": " then", "probability": 0.75341796875}, {"start": 2017.54, "end": 2019.1, "word": " XY", "probability": 0.30126953125}, {"start": 2019.1, "end": 2021.5, "word": " تساوي،", "probability": 0.8390625}, {"start": 2021.5, "end": 2022.02, "word": " حطلي", "probability": 0.8141276041666666}, {"start": 2022.02, "end": 2022.56, "word": " سالب", "probability": 0.99072265625}, {"start": 2022.56, "end": 2022.8, "word": " باي", "probability": 0.867431640625}, {"start": 2022.8, "end": 2023.04, "word": " على", "probability": 0.93505859375}, {"start": 2023.04, "end": 2024.38, "word": " أربع،", "probability": 0.9105224609375}, {"start": 2024.38, "end": 2024.58, "word": " ال", "probability": 0.55712890625}], "temperature": 1.0}, {"id": 85, "seek": 205414, "start": 2026.82, "end": 2054.14, "text": "يبقى six سالب باية على أربعة هو six باية على أربعة يبقى جذر اتنين يبقى سالب جذر اتنين يظل الخمسة واربعين بواحد بس الاتن هذا اد يبقى بصير سالب واحد بعد ذلك لو كانت ال T تساوي zero then ال XY تساوي", "tokens": [1829, 3555, 4587, 7578, 2309, 8608, 6027, 3555, 4724, 995, 10632, 15844, 5551, 25513, 27884, 31439, 2309, 4724, 995, 10632, 15844, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 7251, 19913, 1211, 33962, 2304, 3794, 3660, 4032, 9640, 3555, 3615, 9957, 4724, 14407, 24401, 4724, 3794, 2423, 9307, 1863, 23758, 1975, 3215, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 8608, 6027, 3555, 36764, 24401, 39182, 29910, 23275, 45164, 25961, 2655, 2423, 314, 6055, 3794, 995, 45865, 4018, 550, 2423, 48826, 6055, 3794, 995, 45865], "avg_logprob": -0.26607143992469423, "compression_ratio": 1.8863636363636365, "no_speech_prob": 0.0, "words": [{"start": 2026.82, "end": 2027.32, "word": "يبقى", "probability": 0.80859375}, {"start": 2027.32, "end": 2027.72, "word": " six", "probability": 0.26806640625}, {"start": 2027.72, "end": 2028.08, "word": " سالب", "probability": 0.5547688802083334}, {"start": 2028.08, "end": 2028.24, "word": " باية", "probability": 0.3455810546875}, {"start": 2028.24, "end": 2028.38, "word": " على", "probability": 0.67333984375}, {"start": 2028.38, "end": 2028.7, "word": " أربعة", "probability": 0.7140299479166666}, {"start": 2028.7, "end": 2028.92, "word": " هو", "probability": 0.7353515625}, {"start": 2028.92, "end": 2029.42, "word": " six", "probability": 0.7333984375}, {"start": 2029.42, "end": 2030.14, "word": " باية", "probability": 0.9158528645833334}, {"start": 2030.14, "end": 2030.4, "word": " على", "probability": 0.9423828125}, {"start": 2030.4, "end": 2030.88, "word": " أربعة", "probability": 0.9484049479166666}, {"start": 2030.88, "end": 2032.2, "word": " يبقى", "probability": 0.67706298828125}, {"start": 2032.2, "end": 2032.94, "word": " جذر", "probability": 0.6869303385416666}, {"start": 2032.94, "end": 2033.62, "word": " اتنين", "probability": 0.9237060546875}, {"start": 2033.62, "end": 2034.14, "word": " يبقى", "probability": 0.9337158203125}, {"start": 2034.14, "end": 2035.1, "word": " سالب", "probability": 0.9440104166666666}, {"start": 2035.1, "end": 2035.72, "word": " جذر", "probability": 0.9892578125}, {"start": 2035.72, "end": 2036.36, "word": " اتنين", "probability": 0.988037109375}, {"start": 2036.36, "end": 2037.3, "word": " يظل", "probability": 0.6338704427083334}, {"start": 2037.3, "end": 2037.9, "word": " الخمسة", "probability": 0.871337890625}, {"start": 2037.9, "end": 2039.04, "word": " واربعين", "probability": 0.837744140625}, {"start": 2039.04, "end": 2040.4, "word": " بواحد", "probability": 0.9205729166666666}, {"start": 2040.4, "end": 2040.8, "word": " بس", "probability": 0.860107421875}, {"start": 2040.8, "end": 2041.48, "word": " الاتن", "probability": 0.7054850260416666}, {"start": 2041.48, "end": 2041.98, "word": " هذا", "probability": 0.6650390625}, {"start": 2041.98, "end": 2042.58, "word": " اد", "probability": 0.37841796875}, {"start": 2042.58, "end": 2043.36, "word": " يبقى", "probability": 0.97216796875}, {"start": 2043.36, "end": 2043.86, "word": " بصير", "probability": 0.8253580729166666}, {"start": 2043.86, "end": 2044.8, "word": " سالب", "probability": 0.98046875}, {"start": 2044.8, "end": 2045.62, "word": " واحد", "probability": 0.9853515625}, {"start": 2045.62, "end": 2046.5, "word": " بعد", "probability": 0.81298828125}, {"start": 2046.5, "end": 2046.94, "word": " ذلك", "probability": 0.89794921875}, {"start": 2046.94, "end": 2047.32, "word": " لو", "probability": 0.9208984375}, {"start": 2047.32, "end": 2048.14, "word": " كانت", "probability": 0.753173828125}, {"start": 2048.14, "end": 2048.44, "word": " ال", "probability": 0.72998046875}, {"start": 2048.44, "end": 2048.66, "word": " T", "probability": 0.72265625}, {"start": 2048.66, "end": 2049.6, "word": " تساوي", "probability": 0.9185791015625}, {"start": 2049.6, "end": 2050.24, "word": " zero", "probability": 0.30078125}, {"start": 2050.24, "end": 2050.9, "word": " then", "probability": 0.6455078125}, {"start": 2050.9, "end": 2051.82, "word": " ال", "probability": 0.89306640625}, {"start": 2051.82, "end": 2052.4, "word": " XY", "probability": 0.30615234375}, {"start": 2052.4, "end": 2054.14, "word": " تساوي", "probability": 0.9830322265625}], "temperature": 1.0}, {"id": 86, "seek": 207650, "start": 2058.24, "end": 2076.5, "text": "يبقى ال X و Y تساوي سكة ال zero اللي هو بواحد يبقى سالق واحد و تاني ال zero اللي هو بزيرو اللي بعدها لو كانت ال T تساوي باي على أربعة then X و Y تساوي", "tokens": [1829, 3555, 4587, 7578, 2423, 1783, 4032, 398, 6055, 3794, 995, 45865, 8608, 4117, 3660, 2423, 4018, 13672, 1829, 31439, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 8608, 6027, 4587, 36764, 24401, 4032, 6055, 7649, 1829, 2423, 4018, 13672, 1829, 31439, 4724, 11622, 13546, 2407, 13672, 1829, 39182, 11296, 45164, 25961, 2655, 2423, 314, 6055, 3794, 995, 45865, 4724, 47302, 15844, 5551, 25513, 27884, 550, 1783, 4032, 398, 6055, 3794, 995, 45865], "avg_logprob": -0.2639126712328767, "compression_ratio": 1.7152777777777777, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2058.24, "end": 2058.72, "word": "يبقى", "probability": 0.82928466796875}, {"start": 2058.72, "end": 2058.82, "word": " ال", "probability": 0.64306640625}, {"start": 2058.82, "end": 2059.08, "word": " X", "probability": 0.431884765625}, {"start": 2059.08, "end": 2059.3, "word": " و", "probability": 0.767578125}, {"start": 2059.3, "end": 2059.5, "word": " Y", "probability": 0.48046875}, {"start": 2059.5, "end": 2060.2, "word": " تساوي", "probability": 0.8829345703125}, {"start": 2060.2, "end": 2061.48, "word": " سكة", "probability": 0.5354410807291666}, {"start": 2061.48, "end": 2061.5, "word": " ال", "probability": 0.268798828125}, {"start": 2061.5, "end": 2061.8, "word": " zero", "probability": 0.339599609375}, {"start": 2061.8, "end": 2061.98, "word": " اللي", "probability": 0.586669921875}, {"start": 2061.98, "end": 2062.12, "word": " هو", "probability": 0.97412109375}, {"start": 2062.12, "end": 2062.74, "word": " بواحد", "probability": 0.7888997395833334}, {"start": 2062.74, "end": 2063.42, "word": " يبقى", "probability": 0.9130859375}, {"start": 2063.42, "end": 2063.88, "word": " سالق", "probability": 0.666259765625}, {"start": 2063.88, "end": 2064.28, "word": " واحد", "probability": 0.987060546875}, {"start": 2064.28, "end": 2064.46, "word": " و", "probability": 0.759765625}, {"start": 2064.46, "end": 2064.9, "word": " تاني", "probability": 0.86669921875}, {"start": 2064.9, "end": 2065.06, "word": " ال", "probability": 0.90771484375}, {"start": 2065.06, "end": 2065.56, "word": " zero", "probability": 0.8779296875}, {"start": 2065.56, "end": 2066.28, "word": " اللي", "probability": 0.977294921875}, {"start": 2066.28, "end": 2066.48, "word": " هو", "probability": 0.9912109375}, {"start": 2066.48, "end": 2067.28, "word": " بزيرو", "probability": 0.73748779296875}, {"start": 2067.28, "end": 2068.0, "word": " اللي", "probability": 0.85791015625}, {"start": 2068.0, "end": 2068.54, "word": " بعدها", "probability": 0.885986328125}, {"start": 2068.54, "end": 2068.84, "word": " لو", "probability": 0.95654296875}, {"start": 2068.84, "end": 2069.52, "word": " كانت", "probability": 0.832763671875}, {"start": 2069.52, "end": 2069.78, "word": " ال", "probability": 0.61181640625}, {"start": 2069.78, "end": 2069.98, "word": " T", "probability": 0.96875}, {"start": 2069.98, "end": 2070.78, "word": " تساوي", "probability": 0.9666748046875}, {"start": 2070.78, "end": 2071.34, "word": " باي", "probability": 0.567138671875}, {"start": 2071.34, "end": 2071.74, "word": " على", "probability": 0.73583984375}, {"start": 2071.74, "end": 2072.68, "word": " أربعة", "probability": 0.7854817708333334}, {"start": 2072.68, "end": 2073.66, "word": " then", "probability": 0.6552734375}, {"start": 2073.66, "end": 2074.52, "word": " X", "probability": 0.79296875}, {"start": 2074.52, "end": 2074.9, "word": " و", "probability": 0.8564453125}, {"start": 2074.9, "end": 2075.58, "word": " Y", "probability": 0.75}, {"start": 2075.58, "end": 2076.5, "word": " تساوي", "probability": 0.9827880859375}], "temperature": 1.0}, {"id": 87, "seek": 209227, "start": 2076.99, "end": 2092.27, "text": "هذه السالب والسكة الأربعة اللي همين بجدر اتنين وهنا ضل الخمسة واربعين اللي هم جداش بواحد بهذا الشكل اروح نرسم الرسم اللي عندنا", "tokens": [3224, 24192, 21136, 6027, 3555, 16070, 3794, 4117, 3660, 16247, 25513, 27884, 13672, 1829, 8032, 2304, 9957, 4724, 7435, 3215, 2288, 1975, 2655, 1863, 9957, 37037, 8315, 48812, 1211, 33962, 2304, 3794, 3660, 4032, 9640, 3555, 3615, 9957, 13672, 1829, 8032, 2304, 10874, 3215, 33599, 4724, 14407, 24401, 39627, 15730, 25124, 28820, 1975, 32887, 5016, 8717, 2288, 38251, 34892, 38251, 13672, 1829, 43242, 8315], "avg_logprob": -0.32572115384615385, "compression_ratio": 1.7424242424242424, "no_speech_prob": 0.0, "words": [{"start": 2076.99, "end": 2077.57, "word": "هذه", "probability": 0.551513671875}, {"start": 2077.57, "end": 2078.31, "word": " السالب", "probability": 0.6114908854166666}, {"start": 2078.31, "end": 2079.41, "word": " والسكة", "probability": 0.5689697265625}, {"start": 2079.41, "end": 2079.85, "word": " الأربعة", "probability": 0.9021809895833334}, {"start": 2079.85, "end": 2079.97, "word": " اللي", "probability": 0.6033935546875}, {"start": 2079.97, "end": 2080.63, "word": " همين", "probability": 0.54052734375}, {"start": 2080.63, "end": 2082.05, "word": " بجدر", "probability": 0.57879638671875}, {"start": 2082.05, "end": 2082.81, "word": " اتنين", "probability": 0.856689453125}, {"start": 2082.81, "end": 2083.83, "word": " وهنا", "probability": 0.82421875}, {"start": 2083.83, "end": 2084.23, "word": " ضل", "probability": 0.613037109375}, {"start": 2084.23, "end": 2084.99, "word": " الخمسة", "probability": 0.925537109375}, {"start": 2084.99, "end": 2085.83, "word": " واربعين", "probability": 0.91123046875}, {"start": 2085.83, "end": 2085.97, "word": " اللي", "probability": 0.890869140625}, {"start": 2085.97, "end": 2086.11, "word": " هم", "probability": 0.704345703125}, {"start": 2086.11, "end": 2086.87, "word": " جداش", "probability": 0.7394205729166666}, {"start": 2086.87, "end": 2088.03, "word": " بواحد", "probability": 0.9300130208333334}, {"start": 2088.03, "end": 2088.77, "word": " بهذا", "probability": 0.77880859375}, {"start": 2088.77, "end": 2089.45, "word": " الشكل", "probability": 0.988525390625}, {"start": 2089.45, "end": 2090.57, "word": " اروح", "probability": 0.56884765625}, {"start": 2090.57, "end": 2090.99, "word": " نرسم", "probability": 0.7479654947916666}, {"start": 2090.99, "end": 2091.45, "word": " الرسم", "probability": 0.962158203125}, {"start": 2091.45, "end": 2091.71, "word": " اللي", "probability": 0.95556640625}, {"start": 2091.71, "end": 2092.27, "word": " عندنا", "probability": 0.986083984375}], "temperature": 1.0}, {"id": 88, "seek": 212207, "start": 2092.87, "end": 2122.07, "text": "يبقى هي الرسمة هي المحاول هذا X وهذا Y وهذا نقطة الأصل النقطة الأولى سالب جذر اتنين يعني سالب واحد وأربعة من عشرة تقريبا سالب واحد وأربعة من عشرة أو سالب واحد يبقى هذا سالب واحد وأربعة من عشرة وبدنا ننزل هنا سالب واحد يبقى هذا سالب واحد أو سالب جذر اتنين", "tokens": [1829, 3555, 4587, 7578, 39896, 34892, 38251, 3660, 39896, 9673, 5016, 995, 12610, 23758, 1783, 37037, 15730, 398, 37037, 15730, 8717, 47432, 3660, 16247, 36520, 28239, 47432, 3660, 16247, 12610, 7578, 8608, 6027, 3555, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 37495, 22653, 8608, 6027, 3555, 36764, 24401, 36725, 25513, 27884, 9154, 6225, 8592, 25720, 6055, 4587, 16572, 3555, 995, 8608, 6027, 3555, 36764, 24401, 36725, 25513, 27884, 9154, 6225, 8592, 25720, 34051, 8608, 6027, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 23758, 8608, 6027, 3555, 36764, 24401, 36725, 25513, 27884, 9154, 6225, 8592, 25720, 4032, 44510, 8315, 8717, 1863, 11622, 1211, 34105, 8608, 6027, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 23758, 8608, 6027, 3555, 36764, 24401, 34051, 8608, 6027, 3555, 10874, 8848, 2288, 1975, 2655, 1863, 9957], "avg_logprob": -0.09885817215992854, "compression_ratio": 2.774390243902439, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2092.87, "end": 2093.39, "word": "يبقى", "probability": 0.82342529296875}, {"start": 2093.39, "end": 2093.61, "word": " هي", "probability": 0.46630859375}, {"start": 2093.61, "end": 2094.73, "word": " الرسمة", "probability": 0.9586588541666666}, {"start": 2094.73, "end": 2094.99, "word": " هي", "probability": 0.734375}, {"start": 2094.99, "end": 2095.85, "word": " المحاول", "probability": 0.948486328125}, {"start": 2095.85, "end": 2096.65, "word": " هذا", "probability": 0.25927734375}, {"start": 2096.65, "end": 2097.17, "word": " X", "probability": 0.6591796875}, {"start": 2097.17, "end": 2098.09, "word": " وهذا", "probability": 0.896240234375}, {"start": 2098.09, "end": 2098.57, "word": " Y", "probability": 0.98828125}, {"start": 2098.57, "end": 2099.25, "word": " وهذا", "probability": 0.856689453125}, {"start": 2099.25, "end": 2099.73, "word": " نقطة", "probability": 0.9767252604166666}, {"start": 2099.73, "end": 2100.23, "word": " الأصل", "probability": 0.908447265625}, {"start": 2100.23, "end": 2101.65, "word": " النقطة", "probability": 0.9736328125}, {"start": 2101.65, "end": 2102.67, "word": " الأولى", "probability": 0.9899088541666666}, {"start": 2102.67, "end": 2103.19, "word": " سالب", "probability": 0.6086832682291666}, {"start": 2103.19, "end": 2103.53, "word": " جذر", "probability": 0.95703125}, {"start": 2103.53, "end": 2103.83, "word": " اتنين", "probability": 0.9244384765625}, {"start": 2103.83, "end": 2104.03, "word": " يعني", "probability": 0.922119140625}, {"start": 2104.03, "end": 2104.45, "word": " سالب", "probability": 0.8665364583333334}, {"start": 2104.45, "end": 2104.83, "word": " واحد", "probability": 0.9423828125}, {"start": 2104.83, "end": 2105.45, "word": " وأربعة", "probability": 0.7511393229166666}, {"start": 2105.45, "end": 2105.65, "word": " من", "probability": 0.98828125}, {"start": 2105.65, "end": 2106.11, "word": " عشرة", "probability": 0.9191080729166666}, {"start": 2106.11, "end": 2106.89, "word": " تقريبا", "probability": 0.9791015625}, {"start": 2106.89, "end": 2107.67, "word": " سالب", "probability": 0.9090169270833334}, {"start": 2107.67, "end": 2108.01, "word": " واحد", "probability": 0.98681640625}, {"start": 2108.01, "end": 2108.43, "word": " وأربعة", "probability": 0.8818359375}, {"start": 2108.43, "end": 2108.61, "word": " من", "probability": 0.99365234375}, {"start": 2108.61, "end": 2108.97, "word": " عشرة", "probability": 0.9597981770833334}, {"start": 2108.97, "end": 2109.15, "word": " أو", "probability": 0.59521484375}, {"start": 2109.15, "end": 2109.57, "word": " سالب", "probability": 0.9881184895833334}, {"start": 2109.57, "end": 2110.07, "word": " واحد", "probability": 0.989501953125}, {"start": 2110.07, "end": 2110.87, "word": " يبقى", "probability": 0.9593505859375}, {"start": 2110.87, "end": 2111.19, "word": " هذا", "probability": 0.92431640625}, {"start": 2111.19, "end": 2111.73, "word": " سالب", "probability": 0.9832356770833334}, {"start": 2111.73, "end": 2112.05, "word": " واحد", "probability": 0.983642578125}, {"start": 2112.05, "end": 2112.47, "word": " وأربعة", "probability": 0.9397786458333334}, {"start": 2112.47, "end": 2112.67, "word": " من", "probability": 0.99609375}, {"start": 2112.67, "end": 2113.21, "word": " عشرة", "probability": 0.974609375}, {"start": 2113.21, "end": 2114.07, "word": " وبدنا", "probability": 0.8111979166666666}, {"start": 2114.07, "end": 2114.49, "word": " ننزل", "probability": 0.990234375}, {"start": 2114.49, "end": 2114.85, "word": " هنا", "probability": 0.98388671875}, {"start": 2114.85, "end": 2115.77, "word": " سالب", "probability": 0.9876302083333334}, {"start": 2115.77, "end": 2116.31, "word": " واحد", "probability": 0.994140625}, {"start": 2116.31, "end": 2117.17, "word": " يبقى", "probability": 0.9820556640625}, {"start": 2117.17, "end": 2117.49, "word": " هذا", "probability": 0.986328125}, {"start": 2117.49, "end": 2118.43, "word": " سالب", "probability": 0.99072265625}, {"start": 2118.43, "end": 2119.67, "word": " واحد", "probability": 0.98974609375}, {"start": 2119.67, "end": 2119.99, "word": " أو", "probability": 0.62744140625}, {"start": 2119.99, "end": 2120.49, "word": " سالب", "probability": 0.9630533854166666}, {"start": 2120.49, "end": 2121.19, "word": " جذر", "probability": 0.9900716145833334}, {"start": 2121.19, "end": 2122.07, "word": " اتنين", "probability": 0.98828125}], "temperature": 1.0}, {"id": 89, "seek": 214498, "start": 2122.42, "end": 2144.98, "text": "و سالب واحد، تمام؟ النقطة اللي بعدها سالب واحد و Zero هذا سالب واحد جذر اتنين وهنا هتجيلك سالب واحد، كويس؟ يبقى المنحنة هيجيني من أسفل إلى أعلى بهذا الشكل", "tokens": [2407, 8608, 6027, 3555, 36764, 24401, 12399, 46811, 10943, 22807, 28239, 47432, 3660, 13672, 1829, 39182, 11296, 8608, 6027, 3555, 36764, 24401, 4032, 17182, 23758, 8608, 6027, 3555, 36764, 24401, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 37037, 8315, 8032, 2655, 7435, 1829, 23275, 8608, 6027, 3555, 36764, 24401, 12399, 9122, 45865, 3794, 22807, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 3660, 39896, 7435, 9957, 1829, 9154, 5551, 3794, 5172, 1211, 30731, 5551, 3615, 23942, 39627, 15730, 25124, 28820], "avg_logprob": -0.25675155498363356, "compression_ratio": 1.740506329113924, "no_speech_prob": 0.0, "words": [{"start": 2122.42, "end": 2122.72, "word": "و", "probability": 0.455810546875}, {"start": 2122.72, "end": 2123.7, "word": " سالب", "probability": 0.7168782552083334}, {"start": 2123.7, "end": 2124.96, "word": " واحد،", "probability": 0.6908976236979166}, {"start": 2124.96, "end": 2126.02, "word": " تمام؟", "probability": 0.8216145833333334}, {"start": 2126.02, "end": 2126.7, "word": " النقطة", "probability": 0.97119140625}, {"start": 2126.7, "end": 2126.84, "word": " اللي", "probability": 0.79833984375}, {"start": 2126.84, "end": 2127.22, "word": " بعدها", "probability": 0.6954345703125}, {"start": 2127.22, "end": 2127.62, "word": " سالب", "probability": 0.91748046875}, {"start": 2127.62, "end": 2128.06, "word": " واحد", "probability": 0.994873046875}, {"start": 2128.06, "end": 2128.28, "word": " و", "probability": 0.96826171875}, {"start": 2128.28, "end": 2128.7, "word": " Zero", "probability": 0.35791015625}, {"start": 2128.7, "end": 2129.6, "word": " هذا", "probability": 0.57080078125}, {"start": 2129.6, "end": 2130.48, "word": " سالب", "probability": 0.9676106770833334}, {"start": 2130.48, "end": 2131.08, "word": " واحد", "probability": 0.4757080078125}, {"start": 2131.08, "end": 2131.64, "word": " جذر", "probability": 0.6395670572916666}, {"start": 2131.64, "end": 2132.52, "word": " اتنين", "probability": 0.9749755859375}, {"start": 2132.52, "end": 2133.66, "word": " وهنا", "probability": 0.684326171875}, {"start": 2133.66, "end": 2135.38, "word": " هتجيلك", "probability": 0.58873291015625}, {"start": 2135.38, "end": 2136.3, "word": " سالب", "probability": 0.9847005208333334}, {"start": 2136.3, "end": 2137.1, "word": " واحد،", "probability": 0.8854166666666666}, {"start": 2137.1, "end": 2138.52, "word": " كويس؟", "probability": 0.863037109375}, {"start": 2138.52, "end": 2138.92, "word": " يبقى", "probability": 0.966064453125}, {"start": 2138.92, "end": 2139.6, "word": " المنحنة", "probability": 0.88095703125}, {"start": 2139.6, "end": 2140.46, "word": " هيجيني", "probability": 0.78564453125}, {"start": 2140.46, "end": 2140.68, "word": " من", "probability": 0.99267578125}, {"start": 2140.68, "end": 2141.98, "word": " أسفل", "probability": 0.87030029296875}, {"start": 2141.98, "end": 2142.42, "word": " إلى", "probability": 0.74365234375}, {"start": 2142.42, "end": 2143.42, "word": " أعلى", "probability": 0.9757486979166666}, {"start": 2143.42, "end": 2144.42, "word": " بهذا", "probability": 0.814208984375}, {"start": 2144.42, "end": 2144.98, "word": " الشكل", "probability": 0.988525390625}], "temperature": 1.0}, {"id": 90, "seek": 216711, "start": 2145.89, "end": 2167.11, "text": "كويس يبقى طالع إلى أعلى بعد هيك من سالب جذر اتنين و واحد سالب جذر اتنين و بدنا نطلع هنا قداش مقدار واحد يبقى سالب جذر اتنين و واحد يبقى المنحنى بد يجينا بمين بالشكل اللي عندنا هذا", "tokens": [4117, 45865, 3794, 7251, 3555, 4587, 7578, 23032, 6027, 3615, 30731, 5551, 3615, 23942, 39182, 39896, 4117, 9154, 8608, 6027, 3555, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 4032, 36764, 24401, 8608, 6027, 3555, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 4032, 47525, 8315, 8717, 9566, 1211, 3615, 34105, 12174, 3215, 33599, 3714, 28543, 9640, 36764, 24401, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 4032, 36764, 24401, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 7578, 47525, 7251, 7435, 1829, 8315, 4724, 2304, 9957, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.17312500208616258, "compression_ratio": 2.0844155844155843, "no_speech_prob": 0.0, "words": [{"start": 2145.89, "end": 2146.61, "word": "كويس", "probability": 0.6477559407552084}, {"start": 2146.61, "end": 2147.25, "word": " يبقى", "probability": 0.867431640625}, {"start": 2147.25, "end": 2147.75, "word": " طالع", "probability": 0.9583333333333334}, {"start": 2147.75, "end": 2148.07, "word": " إلى", "probability": 0.401611328125}, {"start": 2148.07, "end": 2148.55, "word": " أعلى", "probability": 0.9138997395833334}, {"start": 2148.55, "end": 2149.45, "word": " بعد", "probability": 0.67822265625}, {"start": 2149.45, "end": 2150.01, "word": " هيك", "probability": 0.87353515625}, {"start": 2150.01, "end": 2150.37, "word": " من", "probability": 0.935546875}, {"start": 2150.37, "end": 2151.49, "word": " سالب", "probability": 0.7911783854166666}, {"start": 2151.49, "end": 2152.05, "word": " جذر", "probability": 0.916015625}, {"start": 2152.05, "end": 2152.61, "word": " اتنين", "probability": 0.8946533203125}, {"start": 2152.61, "end": 2152.81, "word": " و", "probability": 0.7978515625}, {"start": 2152.81, "end": 2153.27, "word": " واحد", "probability": 0.7880859375}, {"start": 2153.27, "end": 2154.25, "word": " سالب", "probability": 0.9259440104166666}, {"start": 2154.25, "end": 2154.69, "word": " جذر", "probability": 0.9943033854166666}, {"start": 2154.69, "end": 2155.11, "word": " اتنين", "probability": 0.9898681640625}, {"start": 2155.11, "end": 2155.27, "word": " و", "probability": 0.53515625}, {"start": 2155.27, "end": 2155.55, "word": " بدنا", "probability": 0.7919921875}, {"start": 2155.55, "end": 2155.97, "word": " نطلع", "probability": 0.992431640625}, {"start": 2155.97, "end": 2156.19, "word": " هنا", "probability": 0.9306640625}, {"start": 2156.19, "end": 2156.85, "word": " قداش", "probability": 0.69384765625}, {"start": 2156.85, "end": 2157.41, "word": " مقدار", "probability": 0.8953450520833334}, {"start": 2157.41, "end": 2157.85, "word": " واحد", "probability": 0.990234375}, {"start": 2157.85, "end": 2158.65, "word": " يبقى", "probability": 0.9815673828125}, {"start": 2158.65, "end": 2159.33, "word": " سالب", "probability": 0.9778645833333334}, {"start": 2159.33, "end": 2159.89, "word": " جذر", "probability": 0.99658203125}, {"start": 2159.89, "end": 2160.57, "word": " اتنين", "probability": 0.9932861328125}, {"start": 2160.57, "end": 2161.11, "word": " و", "probability": 0.440673828125}, {"start": 2161.11, "end": 2161.65, "word": " واحد", "probability": 0.90771484375}, {"start": 2161.65, "end": 2162.03, "word": " يبقى", "probability": 0.9873046875}, {"start": 2162.03, "end": 2162.95, "word": " المنحنى", "probability": 0.7958984375}, {"start": 2162.95, "end": 2163.57, "word": " بد", "probability": 0.342041015625}, {"start": 2163.57, "end": 2164.15, "word": " يجينا", "probability": 0.804443359375}, {"start": 2164.15, "end": 2164.69, "word": " بمين", "probability": 0.9112955729166666}, {"start": 2164.69, "end": 2165.71, "word": " بالشكل", "probability": 0.8800455729166666}, {"start": 2165.71, "end": 2165.95, "word": " اللي", "probability": 0.891357421875}, {"start": 2165.95, "end": 2166.55, "word": " عندنا", "probability": 0.885009765625}, {"start": 2166.55, "end": 2167.11, "word": " هذا", "probability": 0.9404296875}], "temperature": 1.0}, {"id": 91, "seek": 219728, "start": 2168.96, "end": 2197.28, "text": "يبقى واضح إنه ما جاب ليش الـ hyperbola كلها وإنما جاب من النص إذا بقيتها بتكون على الناحية التانية هي بدرسمها لك نقطة عشان تعرف إن هذا hyperbola لكن ماظهرتش النص في اللي عندنا هذا ظهر من النص في اللي عندنا هذا يبقى ماجي بقوله the graph is the left", "tokens": [1829, 3555, 4587, 7578, 4032, 46958, 5016, 36145, 3224, 19446, 10874, 16758, 32239, 8592, 2423, 39184, 9848, 65, 4711, 28242, 11296, 4032, 28814, 1863, 15042, 10874, 16758, 9154, 28239, 9381, 11933, 15730, 4724, 4587, 36081, 11296, 39894, 30544, 15844, 2423, 8315, 5016, 10632, 16712, 7649, 10632, 39896, 47525, 2288, 38251, 11296, 5296, 4117, 8717, 47432, 3660, 6225, 8592, 7649, 37279, 28480, 36145, 23758, 9848, 65, 4711, 44381, 19446, 19913, 3224, 43500, 8592, 28239, 9381, 8978, 13672, 1829, 43242, 8315, 23758, 1357, 116, 3224, 2288, 9154, 28239, 9381, 8978, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 3714, 26108, 1829, 4724, 39648, 3224, 264, 4295, 307, 264, 1411], "avg_logprob": -0.19982798711969219, "compression_ratio": 1.8468468468468469, "no_speech_prob": 0.0, "words": [{"start": 2168.96, "end": 2169.38, "word": "يبقى", "probability": 0.78759765625}, {"start": 2169.38, "end": 2169.82, "word": " واضح", "probability": 0.9552408854166666}, {"start": 2169.82, "end": 2170.14, "word": " إنه", "probability": 0.55029296875}, {"start": 2170.14, "end": 2170.22, "word": " ما", "probability": 0.33251953125}, {"start": 2170.22, "end": 2170.44, "word": " جاب", "probability": 0.863037109375}, {"start": 2170.44, "end": 2170.8, "word": " ليش", "probability": 0.87890625}, {"start": 2170.8, "end": 2171.08, "word": " الـ", "probability": 0.669677734375}, {"start": 2171.08, "end": 2171.88, "word": " hyperbola", "probability": 0.7005208333333334}, {"start": 2171.88, "end": 2172.32, "word": " كلها", "probability": 0.904052734375}, {"start": 2172.32, "end": 2172.86, "word": " وإنما", "probability": 0.908203125}, {"start": 2172.86, "end": 2173.2, "word": " جاب", "probability": 0.91943359375}, {"start": 2173.2, "end": 2173.46, "word": " من", "probability": 0.6279296875}, {"start": 2173.46, "end": 2174.52, "word": " النص", "probability": 0.695068359375}, {"start": 2174.52, "end": 2174.92, "word": " إذا", "probability": 0.831787109375}, {"start": 2174.92, "end": 2175.78, "word": " بقيتها", "probability": 0.8912353515625}, {"start": 2175.78, "end": 2176.32, "word": " بتكون", "probability": 0.9248046875}, {"start": 2176.32, "end": 2176.62, "word": " على", "probability": 0.935546875}, {"start": 2176.62, "end": 2177.28, "word": " الناحية", "probability": 0.92041015625}, {"start": 2177.28, "end": 2177.9, "word": " التانية", "probability": 0.9881184895833334}, {"start": 2177.9, "end": 2178.5, "word": " هي", "probability": 0.63427734375}, {"start": 2178.5, "end": 2179.52, "word": " بدرسمها", "probability": 0.80889892578125}, {"start": 2179.52, "end": 2180.14, "word": " لك", "probability": 0.970703125}, {"start": 2180.14, "end": 2181.26, "word": " نقطة", "probability": 0.7369791666666666}, {"start": 2181.26, "end": 2181.58, "word": " عشان", "probability": 0.7774251302083334}, {"start": 2181.58, "end": 2182.04, "word": " تعرف", "probability": 0.929443359375}, {"start": 2182.04, "end": 2182.24, "word": " إن", "probability": 0.79736328125}, {"start": 2182.24, "end": 2182.62, "word": " هذا", "probability": 0.7392578125}, {"start": 2182.62, "end": 2183.54, "word": " hyperbola", "probability": 0.8684895833333334}, {"start": 2183.54, "end": 2184.22, "word": " لكن", "probability": 0.83984375}, {"start": 2184.22, "end": 2185.18, "word": " ماظهرتش", "probability": 0.87275390625}, {"start": 2185.18, "end": 2185.7, "word": " النص", "probability": 0.909912109375}, {"start": 2185.7, "end": 2185.84, "word": " في", "probability": 0.3857421875}, {"start": 2185.84, "end": 2185.96, "word": " اللي", "probability": 0.952392578125}, {"start": 2185.96, "end": 2186.22, "word": " عندنا", "probability": 0.96435546875}, {"start": 2186.22, "end": 2186.38, "word": " هذا", "probability": 0.93212890625}, {"start": 2186.38, "end": 2186.76, "word": " ظهر", "probability": 0.8631591796875}, {"start": 2186.76, "end": 2187.06, "word": " من", "probability": 0.94580078125}, {"start": 2187.06, "end": 2187.96, "word": " النص", "probability": 0.961669921875}, {"start": 2187.96, "end": 2188.14, "word": " في", "probability": 0.7568359375}, {"start": 2188.14, "end": 2188.28, "word": " اللي", "probability": 0.994140625}, {"start": 2188.28, "end": 2188.72, "word": " عندنا", "probability": 0.986328125}, {"start": 2188.72, "end": 2189.02, "word": " هذا", "probability": 0.9501953125}, {"start": 2189.02, "end": 2189.78, "word": " يبقى", "probability": 0.970703125}, {"start": 2189.78, "end": 2190.18, "word": " ماجي", "probability": 0.73974609375}, {"start": 2190.18, "end": 2190.9, "word": " بقوله", "probability": 0.8567708333333334}, {"start": 2190.9, "end": 2191.08, "word": " the", "probability": 0.41650390625}, {"start": 2191.08, "end": 2192.06, "word": " graph", "probability": 0.9814453125}, {"start": 2192.06, "end": 2194.74, "word": " is", "probability": 0.943359375}, {"start": 2194.74, "end": 2195.78, "word": " the", "probability": 0.9208984375}, {"start": 2195.78, "end": 2197.28, "word": " left", "probability": 0.8837890625}], "temperature": 1.0}, {"id": 92, "seek": 222635, "start": 2198.37, "end": 2226.35, "text": "hand branch يعني القوس او الجزء اللى على الشمال of the hyperabula اللى هو من X تربية ناقص Y تربية تساوي كده تساوي واحد ندى الان للاتجاه طبعا و هذا الى اعلى كمان", "tokens": [5543, 9819, 37495, 22653, 25062, 41779, 1975, 2407, 25724, 11622, 38207, 13672, 7578, 15844, 25124, 2304, 6027, 295, 264, 9848, 455, 3780, 13672, 7578, 31439, 9154, 1783, 6055, 25513, 10632, 8717, 995, 4587, 9381, 398, 6055, 25513, 10632, 6055, 3794, 995, 45865, 9122, 3215, 3224, 6055, 3794, 995, 45865, 36764, 24401, 8717, 3215, 7578, 2423, 7649, 24976, 9307, 7435, 40294, 23032, 3555, 3615, 995, 4032, 23758, 2423, 7578, 1975, 3615, 23942, 9122, 2304, 7649], "avg_logprob": -0.26895833015441895, "compression_ratio": 1.5263157894736843, "no_speech_prob": 0.0, "words": [{"start": 2198.37, "end": 2199.37, "word": "hand", "probability": 0.36279296875}, {"start": 2199.37, "end": 2201.89, "word": " branch", "probability": 0.67138671875}, {"start": 2201.89, "end": 2204.61, "word": " يعني", "probability": 0.72900390625}, {"start": 2204.61, "end": 2205.75, "word": " القوس", "probability": 0.9072265625}, {"start": 2205.75, "end": 2206.31, "word": " او", "probability": 0.631591796875}, {"start": 2206.31, "end": 2206.99, "word": " الجزء", "probability": 0.9762369791666666}, {"start": 2206.99, "end": 2207.25, "word": " اللى", "probability": 0.6533203125}, {"start": 2207.25, "end": 2207.49, "word": " على", "probability": 0.7490234375}, {"start": 2207.49, "end": 2208.43, "word": " الشمال", "probability": 0.9527994791666666}, {"start": 2208.43, "end": 2209.67, "word": " of", "probability": 0.86767578125}, {"start": 2209.67, "end": 2210.89, "word": " the", "probability": 0.7919921875}, {"start": 2210.89, "end": 2213.63, "word": " hyperabula", "probability": 0.63232421875}, {"start": 2213.63, "end": 2214.77, "word": " اللى", "probability": 0.6395263671875}, {"start": 2214.77, "end": 2215.01, "word": " هو", "probability": 0.50146484375}, {"start": 2215.01, "end": 2215.39, "word": " من", "probability": 0.9501953125}, {"start": 2215.39, "end": 2215.95, "word": " X", "probability": 0.63427734375}, {"start": 2215.95, "end": 2216.59, "word": " تربية", "probability": 0.7405598958333334}, {"start": 2216.59, "end": 2217.57, "word": " ناقص", "probability": 0.8775634765625}, {"start": 2217.57, "end": 2217.83, "word": " Y", "probability": 0.9248046875}, {"start": 2217.83, "end": 2218.57, "word": " تربية", "probability": 0.9607747395833334}, {"start": 2218.57, "end": 2219.33, "word": " تساوي", "probability": 0.8883056640625}, {"start": 2219.33, "end": 2219.85, "word": " كده", "probability": 0.8216145833333334}, {"start": 2219.85, "end": 2221.05, "word": " تساوي", "probability": 0.8133544921875}, {"start": 2221.05, "end": 2221.91, "word": " واحد", "probability": 0.928466796875}, {"start": 2221.91, "end": 2222.85, "word": " ندى", "probability": 0.6241861979166666}, {"start": 2222.85, "end": 2223.35, "word": " الان", "probability": 0.622802734375}, {"start": 2223.35, "end": 2224.17, "word": " للاتجاه", "probability": 0.83837890625}, {"start": 2224.17, "end": 2224.59, "word": " طبعا", "probability": 0.8831787109375}, {"start": 2224.59, "end": 2224.71, "word": " و", "probability": 0.343505859375}, {"start": 2224.71, "end": 2224.99, "word": " هذا", "probability": 0.82568359375}, {"start": 2224.99, "end": 2225.45, "word": " الى", "probability": 0.8173828125}, {"start": 2225.45, "end": 2225.91, "word": " اعلى", "probability": 0.8264973958333334}, {"start": 2225.91, "end": 2226.35, "word": " كمان", "probability": 0.9806315104166666}], "temperature": 1.0}, {"id": 93, "seek": 225121, "start": 2226.98, "end": 2251.22, "text": "النقطة الأخيرة اللي هو the direction of motion from down to up يبقى من أسفل إلى أعلى", "tokens": [6027, 1863, 47432, 3660, 16247, 9778, 48923, 13672, 1829, 31439, 264, 3513, 295, 5394, 490, 760, 281, 493, 7251, 3555, 4587, 7578, 9154, 5551, 3794, 5172, 1211, 30731, 5551, 3615, 23942], "avg_logprob": -0.11553955427370965, "compression_ratio": 1.1111111111111112, "no_speech_prob": 0.0, "words": [{"start": 2226.98, "end": 2228.06, "word": "النقطة", "probability": 0.9296875}, {"start": 2228.06, "end": 2228.94, "word": " الأخيرة", "probability": 0.9593098958333334}, {"start": 2228.94, "end": 2229.86, "word": " اللي", "probability": 0.5595703125}, {"start": 2229.86, "end": 2230.28, "word": " هو", "probability": 0.93701171875}, {"start": 2230.28, "end": 2230.86, "word": " the", "probability": 0.44677734375}, {"start": 2230.86, "end": 2232.64, "word": " direction", "probability": 0.96240234375}, {"start": 2232.64, "end": 2235.02, "word": " of", "probability": 0.97412109375}, {"start": 2235.02, "end": 2237.06, "word": " motion", "probability": 0.96484375}, {"start": 2237.06, "end": 2240.92, "word": " from", "probability": 0.91162109375}, {"start": 2240.92, "end": 2244.34, "word": " down", "probability": 0.77880859375}, {"start": 2244.34, "end": 2246.74, "word": " to", "probability": 0.98291015625}, {"start": 2246.74, "end": 2247.76, "word": " up", "probability": 0.98046875}, {"start": 2247.76, "end": 2248.82, "word": " يبقى", "probability": 0.9154052734375}, {"start": 2248.82, "end": 2248.98, "word": " من", "probability": 0.990234375}, {"start": 2248.98, "end": 2249.74, "word": " أسفل", "probability": 0.9674072265625}, {"start": 2249.74, "end": 2250.46, "word": " إلى", "probability": 0.9072265625}, {"start": 2250.46, "end": 2251.22, "word": " أعلى", "probability": 0.96875}], "temperature": 1.0}, {"id": 94, "seek": 225873, "start": 2258.43, "end": 2258.73, "text": "remark", "tokens": [2579, 809], "avg_logprob": -0.3289388020833333, "compression_ratio": 0.42857142857142855, "no_speech_prob": 0.0, "words": [{"start": 2258.43, "end": 2258.73, "word": "remark", "probability": 0.686279296875}], "temperature": 1.0}, {"id": 95, "seek": 231146, "start": 2294.1, "end": 2311.46, "text": "المعادلات البرامترية of a line passes through the points", "tokens": [45340, 3615, 18513, 1211, 9307, 2423, 26890, 10943, 2655, 2288, 10632, 295, 257, 1622, 11335, 807, 264, 2793], "avg_logprob": -0.3863075532411274, "compression_ratio": 0.9493670886075949, "no_speech_prob": 0.0, "words": [{"start": 2294.1, "end": 2295.5, "word": "المعادلات", "probability": 0.76123046875}, {"start": 2295.5, "end": 2296.86, "word": " البرامترية", "probability": 0.7552083333333334}, {"start": 2296.86, "end": 2298.46, "word": " of", "probability": 0.11669921875}, {"start": 2298.46, "end": 2299.0, "word": " a", "probability": 0.8828125}, {"start": 2299.0, "end": 2301.46, "word": " line", "probability": 0.939453125}, {"start": 2301.46, "end": 2303.08, "word": " passes", "probability": 0.47705078125}, {"start": 2303.08, "end": 2306.66, "word": " through", "probability": 0.89111328125}, {"start": 2306.66, "end": 2309.98, "word": " the", "probability": 0.662109375}, {"start": 2309.98, "end": 2311.46, "word": " points", "probability": 0.8515625}], "temperature": 1.0}, {"id": 96, "seek": 233940, "start": 2312.68, "end": 2339.4, "text": "الذي يمر بالنقطتين X node و Y node and X واحد و Y واحد and X واحد و Y واحد are ال X بده يسوي ال X node زاد X واحد ناقص X node في T و ال Y بده يسوي Y node", "tokens": [6027, 8848, 1829, 7251, 29973, 20666, 1863, 47432, 2655, 9957, 1783, 9984, 4032, 398, 9984, 293, 1783, 36764, 24401, 4032, 398, 36764, 24401, 293, 1783, 36764, 24401, 4032, 398, 36764, 24401, 366, 2423, 1783, 47525, 3224, 7251, 3794, 45865, 2423, 1783, 9984, 30767, 18513, 1783, 36764, 24401, 8717, 995, 4587, 9381, 1783, 9984, 8978, 314, 4032, 2423, 398, 47525, 3224, 7251, 3794, 45865, 398, 9984], "avg_logprob": -0.23295453890706552, "compression_ratio": 1.7903225806451613, "no_speech_prob": 0.0, "words": [{"start": 2312.68, "end": 2313.16, "word": "الذي", "probability": 0.6742350260416666}, {"start": 2313.16, "end": 2313.56, "word": " يمر", "probability": 0.9814453125}, {"start": 2313.56, "end": 2314.66, "word": " بالنقطتين", "probability": 0.93154296875}, {"start": 2314.66, "end": 2316.06, "word": " X", "probability": 0.5263671875}, {"start": 2316.06, "end": 2316.52, "word": " node", "probability": 0.481689453125}, {"start": 2316.52, "end": 2316.96, "word": " و", "probability": 0.810546875}, {"start": 2316.96, "end": 2317.28, "word": " Y", "probability": 0.58935546875}, {"start": 2317.28, "end": 2317.88, "word": " node", "probability": 0.91650390625}, {"start": 2317.88, "end": 2319.02, "word": " and", "probability": 0.55517578125}, {"start": 2319.02, "end": 2319.8, "word": " X", "probability": 0.845703125}, {"start": 2319.8, "end": 2320.4, "word": " واحد", "probability": 0.765625}, {"start": 2320.4, "end": 2321.18, "word": " و", "probability": 0.93212890625}, {"start": 2321.18, "end": 2321.48, "word": " Y", "probability": 0.8427734375}, {"start": 2321.48, "end": 2322.26, "word": " واحد", "probability": 0.986083984375}, {"start": 2322.26, "end": 2323.62, "word": " and", "probability": 0.77880859375}, {"start": 2323.62, "end": 2323.92, "word": " X", "probability": 0.978515625}, {"start": 2323.92, "end": 2324.38, "word": " واحد", "probability": 0.98828125}, {"start": 2324.38, "end": 2324.56, "word": " و", "probability": 0.9619140625}, {"start": 2324.56, "end": 2324.78, "word": " Y", "probability": 0.84228515625}, {"start": 2324.78, "end": 2325.44, "word": " واحد", "probability": 0.994140625}, {"start": 2325.44, "end": 2327.0, "word": " are", "probability": 0.352294921875}, {"start": 2327.0, "end": 2330.12, "word": " ال", "probability": 0.69677734375}, {"start": 2330.12, "end": 2330.66, "word": " X", "probability": 0.791015625}, {"start": 2330.66, "end": 2331.5, "word": " بده", "probability": 0.2744140625}, {"start": 2331.5, "end": 2331.86, "word": " يسوي", "probability": 0.7721354166666666}, {"start": 2331.86, "end": 2332.06, "word": " ال", "probability": 0.556640625}, {"start": 2332.06, "end": 2332.4, "word": " X", "probability": 0.9873046875}, {"start": 2332.4, "end": 2332.9, "word": " node", "probability": 0.9580078125}, {"start": 2332.9, "end": 2334.06, "word": " زاد", "probability": 0.720947265625}, {"start": 2334.06, "end": 2334.38, "word": " X", "probability": 0.95361328125}, {"start": 2334.38, "end": 2334.9, "word": " واحد", "probability": 0.99560546875}, {"start": 2334.9, "end": 2335.44, "word": " ناقص", "probability": 0.86669921875}, {"start": 2335.44, "end": 2335.84, "word": " X", "probability": 0.9755859375}, {"start": 2335.84, "end": 2336.2, "word": " node", "probability": 0.958984375}, {"start": 2336.2, "end": 2336.46, "word": " في", "probability": 0.9384765625}, {"start": 2336.46, "end": 2336.74, "word": " T", "probability": 0.7216796875}, {"start": 2336.74, "end": 2337.46, "word": " و", "probability": 0.5009765625}, {"start": 2337.46, "end": 2337.64, "word": " ال", "probability": 0.483154296875}, {"start": 2337.64, "end": 2337.86, "word": " Y", "probability": 0.9755859375}, {"start": 2337.86, "end": 2338.18, "word": " بده", "probability": 0.934814453125}, {"start": 2338.18, "end": 2338.66, "word": " يسوي", "probability": 0.90380859375}, {"start": 2338.66, "end": 2338.98, "word": " Y", "probability": 0.97998046875}, {"start": 2338.98, "end": 2339.4, "word": " node", "probability": 0.927734375}], "temperature": 1.0}, {"id": 97, "seek": 236019, "start": 2339.72, "end": 2360.2, "text": "زائد y واحد ناقص y node في T وT محصورة من سالب infinity إلى infinity example find the parameterizations", "tokens": [11622, 16373, 3215, 288, 36764, 24401, 8717, 995, 4587, 9381, 288, 9984, 8978, 314, 4032, 51, 3714, 5016, 9381, 13063, 3660, 9154, 8608, 6027, 3555, 13202, 30731, 13202, 1365, 915, 264, 13075, 14455], "avg_logprob": -0.3506433805998634, "compression_ratio": 1.1176470588235294, "no_speech_prob": 0.0, "words": [{"start": 2339.72, "end": 2340.42, "word": "زائد", "probability": 0.6183268229166666}, {"start": 2340.42, "end": 2340.78, "word": " y", "probability": 0.373046875}, {"start": 2340.78, "end": 2341.48, "word": " واحد", "probability": 0.870361328125}, {"start": 2341.48, "end": 2342.6, "word": " ناقص", "probability": 0.9169921875}, {"start": 2342.6, "end": 2342.9, "word": " y", "probability": 0.740234375}, {"start": 2342.9, "end": 2343.3, "word": " node", "probability": 0.58203125}, {"start": 2343.3, "end": 2343.78, "word": " في", "probability": 0.94287109375}, {"start": 2343.78, "end": 2344.38, "word": " T", "probability": 0.345703125}, {"start": 2344.38, "end": 2345.98, "word": " وT", "probability": 0.5140380859375}, {"start": 2345.98, "end": 2347.54, "word": " محصورة", "probability": 0.9421875}, {"start": 2347.54, "end": 2347.8, "word": " من", "probability": 0.9814453125}, {"start": 2347.8, "end": 2348.42, "word": " سالب", "probability": 0.7627766927083334}, {"start": 2348.42, "end": 2349.46, "word": " infinity", "probability": 0.69091796875}, {"start": 2349.46, "end": 2350.1, "word": " إلى", "probability": 0.7578125}, {"start": 2350.1, "end": 2351.28, "word": " infinity", "probability": 0.71484375}, {"start": 2351.28, "end": 2354.16, "word": " example", "probability": 0.372314453125}, {"start": 2354.16, "end": 2358.46, "word": " find", "probability": 0.443115234375}, {"start": 2358.46, "end": 2358.64, "word": " the", "probability": 0.6875}, {"start": 2358.64, "end": 2360.2, "word": " parameterizations", "probability": 0.62646484375}], "temperature": 1.0}, {"id": 98, "seek": 239936, "start": 2369.6, "end": 2399.36, "text": "for the line segment for the line segment للقطع المستقيمة with end points النقاط تبعتها الطرفين تبعتها هو السالب واحد وثلاثة and ثلاثة وسالب اتنين", "tokens": [2994, 264, 1622, 9469, 337, 264, 1622, 9469, 24976, 47432, 3615, 9673, 14851, 4587, 32640, 3660, 365, 917, 2793, 28239, 4587, 41193, 6055, 3555, 34268, 11296, 41950, 28480, 9957, 6055, 3555, 34268, 11296, 31439, 21136, 6027, 3555, 36764, 24401, 4032, 12984, 1211, 5718, 104, 3660, 293, 38637, 1211, 5718, 104, 3660, 4032, 3794, 6027, 3555, 1975, 2655, 1863, 9957], "avg_logprob": -0.2739583442608515, "compression_ratio": 1.5244755244755244, "no_speech_prob": 0.0, "words": [{"start": 2369.6, "end": 2369.86, "word": "for", "probability": 0.04168701171875}, {"start": 2369.86, "end": 2372.08, "word": " the", "probability": 0.6337890625}, {"start": 2372.08, "end": 2372.42, "word": " line", "probability": 0.92138671875}, {"start": 2372.42, "end": 2373.48, "word": " segment", "probability": 0.90380859375}, {"start": 2373.48, "end": 2374.86, "word": " for", "probability": 0.423828125}, {"start": 2374.86, "end": 2375.98, "word": " the", "probability": 0.70849609375}, {"start": 2375.98, "end": 2376.74, "word": " line", "probability": 0.94189453125}, {"start": 2376.74, "end": 2378.6, "word": " segment", "probability": 0.90478515625}, {"start": 2378.6, "end": 2380.48, "word": " للقطع", "probability": 0.7755533854166666}, {"start": 2380.48, "end": 2382.44, "word": " المستقيمة", "probability": 0.9802734375}, {"start": 2382.44, "end": 2383.32, "word": " with", "probability": 0.83642578125}, {"start": 2383.32, "end": 2385.12, "word": " end", "probability": 0.78759765625}, {"start": 2385.12, "end": 2386.3, "word": " points", "probability": 0.669921875}, {"start": 2386.3, "end": 2389.24, "word": " النقاط", "probability": 0.8097330729166666}, {"start": 2389.24, "end": 2389.74, "word": " تبعتها", "probability": 0.6942138671875}, {"start": 2389.74, "end": 2390.3, "word": " الطرفين", "probability": 0.8888346354166666}, {"start": 2390.3, "end": 2391.44, "word": " تبعتها", "probability": 0.930908203125}, {"start": 2391.44, "end": 2391.76, "word": " هو", "probability": 0.453369140625}, {"start": 2391.76, "end": 2392.32, "word": " السالب", "probability": 0.6534016927083334}, {"start": 2392.32, "end": 2392.88, "word": " واحد", "probability": 0.964599609375}, {"start": 2392.88, "end": 2394.44, "word": " وثلاثة", "probability": 0.886474609375}, {"start": 2394.44, "end": 2395.54, "word": " and", "probability": 0.6611328125}, {"start": 2395.54, "end": 2397.9, "word": " ثلاثة", "probability": 0.874951171875}, {"start": 2397.9, "end": 2398.92, "word": " وسالب", "probability": 0.7166748046875}, {"start": 2398.92, "end": 2399.36, "word": " اتنين", "probability": 0.970703125}], "temperature": 1.0}, {"id": 99, "seek": 240398, "start": 2403.25, "end": 2403.99, "text": "Solution", "tokens": [50, 3386], "avg_logprob": -0.5875651041666666, "compression_ratio": 0.5, "no_speech_prob": 0.0, "words": [{"start": 2403.25, "end": 2403.99, "word": "Solution", "probability": 0.55255126953125}], "temperature": 1.0}, {"id": 100, "seek": 243796, "start": 2409.11, "end": 2437.97, "text": "أحنا بنقدر نجيب معادلة الخط المستقيم بدلالة أي نقطة موجودة عليه تمام؟ أي نقطتين موجودتين على الخط المستقيم بواسطتهم بقدر اجيب معادلة الخط المستقيم احنا هنجيب المعادلة هذه او المعادلة ال parameterية بواسطة النقطتين لو كان عنده نقطتين على الخط المستقيم x0 و y0 و x1 و y1 يبقى الصيغة ال parameterية لمعادلتي الخط المستقيم", "tokens": [10721, 5016, 8315, 44945, 28543, 2288, 8717, 7435, 1829, 3555, 20449, 18513, 37977, 33962, 9566, 9673, 14851, 4587, 32640, 47525, 1211, 6027, 3660, 36632, 8717, 47432, 3660, 3714, 29245, 23328, 3660, 47356, 46811, 10943, 22807, 36632, 8717, 47432, 2655, 9957, 3714, 29245, 23328, 2655, 9957, 15844, 33962, 9566, 9673, 14851, 4587, 32640, 4724, 14407, 3794, 9566, 2655, 16095, 4724, 28543, 2288, 1975, 7435, 1829, 3555, 20449, 18513, 37977, 33962, 9566, 9673, 14851, 4587, 32640, 1975, 5016, 8315, 8032, 1863, 7435, 1829, 3555, 9673, 3615, 18513, 37977, 29538, 1975, 2407, 9673, 3615, 18513, 37977, 2423, 13075, 10632, 4724, 14407, 3794, 9566, 3660, 28239, 47432, 2655, 9957, 45164, 25961, 43242, 3224, 8717, 47432, 2655, 9957, 15844, 33962, 9566, 9673, 14851, 4587, 32640, 2031, 15, 4032, 288, 15, 4032, 2031, 16, 4032, 288, 16, 7251, 3555, 4587, 7578, 31767, 1829, 17082, 3660, 2423, 13075, 10632, 32767, 3615, 18513, 1211, 31371, 33962, 9566, 9673, 14851, 4587, 32640], "avg_logprob": -0.1476258093660528, "compression_ratio": 2.538812785388128, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2409.11, "end": 2409.51, "word": "أحنا", "probability": 0.64373779296875}, {"start": 2409.51, "end": 2409.95, "word": " بنقدر", "probability": 0.9114583333333334}, {"start": 2409.95, "end": 2410.33, "word": " نجيب", "probability": 0.96142578125}, {"start": 2410.33, "end": 2410.77, "word": " معادلة", "probability": 0.8994140625}, {"start": 2410.77, "end": 2411.11, "word": " الخط", "probability": 0.751708984375}, {"start": 2411.11, "end": 2412.01, "word": " المستقيم", "probability": 0.986083984375}, {"start": 2412.01, "end": 2413.47, "word": " بدلالة", "probability": 0.893310546875}, {"start": 2413.47, "end": 2413.89, "word": " أي", "probability": 0.69287109375}, {"start": 2413.89, "end": 2414.53, "word": " نقطة", "probability": 0.98046875}, {"start": 2414.53, "end": 2415.39, "word": " موجودة", "probability": 0.97265625}, {"start": 2415.39, "end": 2416.01, "word": " عليه", "probability": 0.7783203125}, {"start": 2416.01, "end": 2416.83, "word": " تمام؟", "probability": 0.6524251302083334}, {"start": 2416.83, "end": 2417.01, "word": " أي", "probability": 0.66455078125}, {"start": 2417.01, "end": 2417.73, "word": " نقطتين", "probability": 0.95947265625}, {"start": 2417.73, "end": 2418.31, "word": " موجودتين", "probability": 0.89580078125}, {"start": 2418.31, "end": 2418.43, "word": " على", "probability": 0.87939453125}, {"start": 2418.43, "end": 2418.67, "word": " الخط", "probability": 0.991943359375}, {"start": 2418.67, "end": 2419.35, "word": " المستقيم", "probability": 0.9918212890625}, {"start": 2419.35, "end": 2420.45, "word": " بواسطتهم", "probability": 0.8114420572916666}, {"start": 2420.45, "end": 2420.85, "word": " بقدر", "probability": 0.8619791666666666}, {"start": 2420.85, "end": 2421.09, "word": " اجيب", "probability": 0.83172607421875}, {"start": 2421.09, "end": 2421.43, "word": " معادلة", "probability": 0.9833984375}, {"start": 2421.43, "end": 2421.77, "word": " الخط", "probability": 0.96337890625}, {"start": 2421.77, "end": 2422.41, "word": " المستقيم", "probability": 0.9951171875}, {"start": 2422.41, "end": 2423.21, "word": " احنا", "probability": 0.9296875}, {"start": 2423.21, "end": 2423.59, "word": " هنجيب", "probability": 0.97548828125}, {"start": 2423.59, "end": 2424.35, "word": " المعادلة", "probability": 0.990234375}, {"start": 2424.35, "end": 2424.85, "word": " هذه", "probability": 0.85498046875}, {"start": 2424.85, "end": 2425.53, "word": " او", "probability": 0.787841796875}, {"start": 2425.53, "end": 2426.07, "word": " المعادلة", "probability": 0.9666748046875}, {"start": 2426.07, "end": 2426.27, "word": " ال", "probability": 0.87353515625}, {"start": 2426.27, "end": 2426.99, "word": " parameterية", "probability": 0.6036376953125}, {"start": 2426.99, "end": 2427.75, "word": " بواسطة", "probability": 0.98212890625}, {"start": 2427.75, "end": 2428.49, "word": " النقطتين", "probability": 0.83349609375}, {"start": 2428.49, "end": 2428.65, "word": " لو", "probability": 0.7587890625}, {"start": 2428.65, "end": 2428.91, "word": " كان", "probability": 0.990234375}, {"start": 2428.91, "end": 2429.25, "word": " عنده", "probability": 0.813232421875}, {"start": 2429.25, "end": 2429.99, "word": " نقطتين", "probability": 0.9742431640625}, {"start": 2429.99, "end": 2430.63, "word": " على", "probability": 0.85107421875}, {"start": 2430.63, "end": 2431.07, "word": " الخط", "probability": 0.9931640625}, {"start": 2431.07, "end": 2431.57, "word": " المستقيم", "probability": 0.990966796875}, {"start": 2431.57, "end": 2432.11, "word": " x0", "probability": 0.38671875}, {"start": 2432.11, "end": 2432.29, "word": " و", "probability": 0.80859375}, {"start": 2432.29, "end": 2432.79, "word": " y0", "probability": 0.762451171875}, {"start": 2432.79, "end": 2432.95, "word": " و", "probability": 0.9423828125}, {"start": 2432.95, "end": 2433.33, "word": " x1", "probability": 0.86572265625}, {"start": 2433.33, "end": 2433.49, "word": " و", "probability": 0.96875}, {"start": 2433.49, "end": 2434.07, "word": " y1", "probability": 0.908203125}, {"start": 2434.07, "end": 2434.71, "word": " يبقى", "probability": 0.9769287109375}, {"start": 2434.71, "end": 2435.11, "word": " الصيغة", "probability": 0.883056640625}, {"start": 2435.11, "end": 2435.25, "word": " ال", "probability": 0.9541015625}, {"start": 2435.25, "end": 2436.01, "word": " parameterية", "probability": 0.940185546875}, {"start": 2436.01, "end": 2437.33, "word": " لمعادلتي", "probability": 0.8787109375}, {"start": 2437.33, "end": 2437.97, "word": " الخط", "probability": 0.985107421875}, {"start": 2437.97, "end": 2437.97, "word": " المستقيم", "probability": 0.951904296875}], "temperature": 1.0}, {"id": 101, "seek": 245252, "start": 2442.9, "end": 2452.52, "text": "طبعاً T من سلب infinity إلى infinity هذا للمستقيم أو للشعاع اللي ببدأ من zero و يبقى ل infinity", "tokens": [9566, 3555, 3615, 995, 14111, 314, 9154, 8608, 46152, 13202, 30731, 13202, 23758, 5296, 19528, 14851, 4587, 32640, 34051, 24976, 8592, 3615, 45761, 13672, 1829, 4724, 44510, 10721, 9154, 4018, 4032, 7251, 3555, 4587, 7578, 5296, 13202], "avg_logprob": -0.45805921680048894, "compression_ratio": 1.2434782608695651, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 2442.8999999999996, "end": 2443.74, "word": "طبعاً", "probability": 0.619647216796875}, {"start": 2443.74, "end": 2443.8, "word": " T", "probability": 0.42138671875}, {"start": 2443.8, "end": 2443.98, "word": " من", "probability": 0.74072265625}, {"start": 2443.98, "end": 2444.36, "word": " سلب", "probability": 0.778564453125}, {"start": 2444.36, "end": 2444.96, "word": " infinity", "probability": 0.4833984375}, {"start": 2444.96, "end": 2445.48, "word": " إلى", "probability": 0.8603515625}, {"start": 2445.48, "end": 2446.24, "word": " infinity", "probability": 0.75341796875}, {"start": 2446.24, "end": 2446.66, "word": " هذا", "probability": 0.728515625}, {"start": 2446.66, "end": 2447.8, "word": " للمستقيم", "probability": 0.8984375}, {"start": 2447.8, "end": 2448.48, "word": " أو", "probability": 0.673828125}, {"start": 2448.48, "end": 2449.22, "word": " للشعاع", "probability": 0.7501220703125}, {"start": 2449.22, "end": 2449.42, "word": " اللي", "probability": 0.654052734375}, {"start": 2449.42, "end": 2449.84, "word": " ببدأ", "probability": 0.6439615885416666}, {"start": 2449.84, "end": 2449.98, "word": " من", "probability": 0.9814453125}, {"start": 2449.98, "end": 2450.2, "word": " zero", "probability": 0.498046875}, {"start": 2450.2, "end": 2450.4, "word": " و", "probability": 0.55810546875}, {"start": 2450.4, "end": 2450.74, "word": " يبقى", "probability": 0.758544921875}, {"start": 2450.74, "end": 2450.76, "word": " ل", "probability": 0.3671875}, {"start": 2450.76, "end": 2452.52, "word": " infinity", "probability": 0.359619140625}], "temperature": 1.0}, {"id": 102, "seek": 247900, "start": 2453.0, "end": 2479.0, "text": "لكن لو خدت قطعة مستقيمة اذا انا حددتها بمين؟ بنقطة الخط الواصل بين النقطتين فبقول هاتل ال parameterization للقطع المستقيمة المنتهية بالنقطتين الاتنين هذول بقوله بسيطة جدا يبقى هذا ال X بده يساوي هذه بده اخدها هي X node وهذه Y node", "tokens": [1211, 19452, 45164, 16490, 3215, 2655, 12174, 9566, 27884, 3714, 14851, 4587, 32640, 3660, 1975, 15730, 1975, 8315, 11331, 3215, 3215, 2655, 11296, 4724, 2304, 9957, 22807, 44945, 47432, 3660, 33962, 9566, 2423, 2407, 33546, 1211, 49374, 28239, 47432, 2655, 9957, 6156, 3555, 39648, 8032, 9307, 1211, 2423, 13075, 2144, 24976, 47432, 3615, 9673, 14851, 4587, 32640, 3660, 9673, 29399, 3224, 10632, 20666, 1863, 47432, 2655, 9957, 2423, 9307, 1863, 9957, 8032, 8848, 12610, 4724, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 7251, 3555, 4587, 7578, 23758, 2423, 1783, 47525, 3224, 7251, 3794, 995, 45865, 29538, 47525, 3224, 1975, 9778, 3215, 11296, 39896, 1783, 9984, 37037, 24192, 398, 9984], "avg_logprob": -0.22963169616247928, "compression_ratio": 1.8064516129032258, "no_speech_prob": 0.0, "words": [{"start": 2453.0, "end": 2453.3, "word": "لكن", "probability": 0.69580078125}, {"start": 2453.3, "end": 2453.5, "word": " لو", "probability": 0.6328125}, {"start": 2453.5, "end": 2453.94, "word": " خدت", "probability": 0.7075602213541666}, {"start": 2453.94, "end": 2454.36, "word": " قطعة", "probability": 0.9684244791666666}, {"start": 2454.36, "end": 2455.36, "word": " مستقيمة", "probability": 0.9599609375}, {"start": 2455.36, "end": 2455.64, "word": " اذا", "probability": 0.621826171875}, {"start": 2455.64, "end": 2455.88, "word": " انا", "probability": 0.92529296875}, {"start": 2455.88, "end": 2456.48, "word": " حددتها", "probability": 0.8830078125}, {"start": 2456.48, "end": 2457.2, "word": " بمين؟", "probability": 0.7755126953125}, {"start": 2457.2, "end": 2458.16, "word": " بنقطة", "probability": 0.830078125}, {"start": 2458.16, "end": 2458.8, "word": " الخط", "probability": 0.860107421875}, {"start": 2458.8, "end": 2459.46, "word": " الواصل", "probability": 0.9296875}, {"start": 2459.46, "end": 2459.8, "word": " بين", "probability": 0.94921875}, {"start": 2459.8, "end": 2460.62, "word": " النقطتين", "probability": 0.93408203125}, {"start": 2460.62, "end": 2461.6, "word": " فبقول", "probability": 0.7430013020833334}, {"start": 2461.6, "end": 2462.06, "word": " هاتل", "probability": 0.4562174479166667}, {"start": 2462.06, "end": 2462.14, "word": " ال", "probability": 0.88818359375}, {"start": 2462.14, "end": 2463.28, "word": " parameterization", "probability": 0.626220703125}, {"start": 2463.28, "end": 2464.3, "word": " للقطع", "probability": 0.7037760416666666}, {"start": 2464.3, "end": 2465.96, "word": " المستقيمة", "probability": 0.97373046875}, {"start": 2465.96, "end": 2467.2, "word": " المنتهية", "probability": 0.960205078125}, {"start": 2467.2, "end": 2468.06, "word": " بالنقطتين", "probability": 0.90224609375}, {"start": 2468.06, "end": 2468.6, "word": " الاتنين", "probability": 0.769287109375}, {"start": 2468.6, "end": 2468.98, "word": " هذول", "probability": 0.741943359375}, {"start": 2468.98, "end": 2469.48, "word": " بقوله", "probability": 0.8544921875}, {"start": 2469.48, "end": 2470.04, "word": " بسيطة", "probability": 0.89580078125}, {"start": 2470.04, "end": 2470.4, "word": " جدا", "probability": 0.990478515625}, {"start": 2470.4, "end": 2471.54, "word": " يبقى", "probability": 0.901123046875}, {"start": 2471.54, "end": 2472.08, "word": " هذا", "probability": 0.80078125}, {"start": 2472.08, "end": 2473.1, "word": " ال", "probability": 0.9208984375}, {"start": 2473.1, "end": 2473.7, "word": " X", "probability": 0.693359375}, {"start": 2473.7, "end": 2474.28, "word": " بده", "probability": 0.697509765625}, {"start": 2474.28, "end": 2474.84, "word": " يساوي", "probability": 0.93994140625}, {"start": 2474.84, "end": 2475.58, "word": " هذه", "probability": 0.458984375}, {"start": 2475.58, "end": 2475.96, "word": " بده", "probability": 0.874755859375}, {"start": 2475.96, "end": 2476.46, "word": " اخدها", "probability": 0.917724609375}, {"start": 2476.46, "end": 2476.82, "word": " هي", "probability": 0.82470703125}, {"start": 2476.82, "end": 2477.38, "word": " X", "probability": 0.9541015625}, {"start": 2477.38, "end": 2477.9, "word": " node", "probability": 0.1773681640625}, {"start": 2477.9, "end": 2478.34, "word": " وهذه", "probability": 0.6627197265625}, {"start": 2478.34, "end": 2478.66, "word": " Y", "probability": 0.94091796875}, {"start": 2478.66, "end": 2479.0, "word": " node", "probability": 0.82421875}], "temperature": 1.0}, {"id": 103, "seek": 250536, "start": 2479.46, "end": 2505.36, "text": "قبل هذه x واحد و y و هذه نقطة البداية وهذه نقطة النهاية للقطع المستقيمة يبقى x نقطة انت بقدراش سالب واحد زائد ها ال x لتلاتة ناقص ناقص واحد كله في T يبقى هذا بدي اعطيك ان x يساوي سالب واحد زائد اربعة T", "tokens": [4587, 36150, 29538, 2031, 36764, 24401, 4032, 288, 4032, 29538, 8717, 47432, 3660, 29739, 28259, 10632, 37037, 24192, 8717, 47432, 3660, 28239, 11296, 10632, 24976, 47432, 3615, 9673, 14851, 4587, 32640, 3660, 7251, 3555, 4587, 7578, 2031, 8717, 47432, 3660, 16472, 2655, 4724, 28543, 2288, 33599, 8608, 6027, 3555, 36764, 24401, 30767, 16373, 3215, 8032, 995, 2423, 2031, 5296, 2655, 1211, 9307, 3660, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 36764, 24401, 28242, 3224, 8978, 314, 7251, 3555, 4587, 7578, 23758, 4724, 16254, 1975, 3615, 9566, 1829, 4117, 16472, 2031, 7251, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401, 30767, 16373, 3215, 1975, 25513, 27884, 314], "avg_logprob": -0.22424768021813146, "compression_ratio": 1.9719101123595506, "no_speech_prob": 0.0, "words": [{"start": 2479.46, "end": 2479.86, "word": "قبل", "probability": 0.552001953125}, {"start": 2479.86, "end": 2480.18, "word": " هذه", "probability": 0.2861328125}, {"start": 2480.18, "end": 2480.5, "word": " x", "probability": 0.461181640625}, {"start": 2480.5, "end": 2481.02, "word": " واحد", "probability": 0.61566162109375}, {"start": 2481.02, "end": 2481.12, "word": " و", "probability": 0.87744140625}, {"start": 2481.12, "end": 2481.3, "word": " y", "probability": 0.5185546875}, {"start": 2481.3, "end": 2481.4, "word": " و", "probability": 0.324951171875}, {"start": 2481.4, "end": 2481.58, "word": " هذه", "probability": 0.6650390625}, {"start": 2481.58, "end": 2482.08, "word": " نقطة", "probability": 0.8640950520833334}, {"start": 2482.08, "end": 2482.8, "word": " البداية", "probability": 0.92578125}, {"start": 2482.8, "end": 2483.52, "word": " وهذه", "probability": 0.75048828125}, {"start": 2483.52, "end": 2483.92, "word": " نقطة", "probability": 0.939453125}, {"start": 2483.92, "end": 2484.34, "word": " النهاية", "probability": 0.8990885416666666}, {"start": 2484.34, "end": 2484.98, "word": " للقطع", "probability": 0.8224283854166666}, {"start": 2484.98, "end": 2486.26, "word": " المستقيمة", "probability": 0.98037109375}, {"start": 2486.26, "end": 2486.96, "word": " يبقى", "probability": 0.91015625}, {"start": 2486.96, "end": 2487.24, "word": " x", "probability": 0.88671875}, {"start": 2487.24, "end": 2487.64, "word": " نقطة", "probability": 0.7615559895833334}, {"start": 2487.64, "end": 2487.86, "word": " انت", "probability": 0.461181640625}, {"start": 2487.86, "end": 2488.68, "word": " بقدراش", "probability": 0.57708740234375}, {"start": 2488.68, "end": 2490.24, "word": " سالب", "probability": 0.660888671875}, {"start": 2490.24, "end": 2490.82, "word": " واحد", "probability": 0.984375}, {"start": 2490.82, "end": 2491.72, "word": " زائد", "probability": 0.8359375}, {"start": 2491.72, "end": 2492.7, "word": " ها", "probability": 0.5455322265625}, {"start": 2492.7, "end": 2492.96, "word": " ال", "probability": 0.9521484375}, {"start": 2492.96, "end": 2493.42, "word": " x", "probability": 0.84521484375}, {"start": 2493.42, "end": 2494.88, "word": " لتلاتة", "probability": 0.86123046875}, {"start": 2494.88, "end": 2495.86, "word": " ناقص", "probability": 0.984375}, {"start": 2495.86, "end": 2496.58, "word": " ناقص", "probability": 0.95068359375}, {"start": 2496.58, "end": 2497.4, "word": " واحد", "probability": 0.986572265625}, {"start": 2497.4, "end": 2497.92, "word": " كله", "probability": 0.984375}, {"start": 2497.92, "end": 2498.1, "word": " في", "probability": 0.95361328125}, {"start": 2498.1, "end": 2498.34, "word": " T", "probability": 0.501953125}, {"start": 2498.34, "end": 2499.22, "word": " يبقى", "probability": 0.9783935546875}, {"start": 2499.22, "end": 2499.44, "word": " هذا", "probability": 0.9189453125}, {"start": 2499.44, "end": 2499.8, "word": " بدي", "probability": 0.717529296875}, {"start": 2499.8, "end": 2500.38, "word": " اعطيك", "probability": 0.7978515625}, {"start": 2500.38, "end": 2500.68, "word": " ان", "probability": 0.91748046875}, {"start": 2500.68, "end": 2501.08, "word": " x", "probability": 0.88134765625}, {"start": 2501.08, "end": 2501.96, "word": " يساوي", "probability": 0.9005126953125}, {"start": 2501.96, "end": 2502.98, "word": " سالب", "probability": 0.95458984375}, {"start": 2502.98, "end": 2503.72, "word": " واحد", "probability": 0.989501953125}, {"start": 2503.72, "end": 2504.5, "word": " زائد", "probability": 0.9694010416666666}, {"start": 2504.5, "end": 2505.12, "word": " اربعة", "probability": 0.83642578125}, {"start": 2505.12, "end": 2505.36, "word": " T", "probability": 0.90576171875}], "temperature": 1.0}, {"id": 104, "seek": 253355, "start": 2505.63, "end": 2533.55, "text": "المعادلة التانية y تساوي y not اللي هي قداش تلاتة زائد ناقص اتنين اللي هو y واحد ناقص تلاتة كله في T هذا بدي اعطيلك ان y ساوي تلاتة ناقص خمسة T ضلت ان هنا T أبصر من وين لوين تعالوا نشوف T من وين لوين", "tokens": [45340, 3615, 18513, 37977, 16712, 7649, 10632, 288, 6055, 3794, 995, 45865, 288, 406, 13672, 1829, 39896, 12174, 3215, 33599, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 288, 36764, 24401, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 28242, 3224, 8978, 314, 23758, 4724, 16254, 1975, 3615, 9566, 1829, 23275, 16472, 288, 8608, 995, 45865, 6055, 1211, 9307, 3660, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 314, 48812, 1211, 2655, 16472, 34105, 314, 5551, 3555, 9381, 2288, 9154, 4032, 9957, 5296, 2407, 9957, 37279, 6027, 14407, 8717, 8592, 38688, 314, 9154, 4032, 9957, 5296, 2407, 9957], "avg_logprob": -0.21616972695796863, "compression_ratio": 1.8387096774193548, "no_speech_prob": 0.0, "words": [{"start": 2505.63, "end": 2506.49, "word": "المعادلة", "probability": 0.919189453125}, {"start": 2506.49, "end": 2506.97, "word": " التانية", "probability": 0.9197591145833334}, {"start": 2506.97, "end": 2507.49, "word": " y", "probability": 0.280029296875}, {"start": 2507.49, "end": 2508.35, "word": " تساوي", "probability": 0.8009033203125}, {"start": 2508.35, "end": 2508.91, "word": " y", "probability": 0.8583984375}, {"start": 2508.91, "end": 2509.59, "word": " not", "probability": 0.2587890625}, {"start": 2509.59, "end": 2510.17, "word": " اللي", "probability": 0.5802001953125}, {"start": 2510.17, "end": 2510.33, "word": " هي", "probability": 0.54150390625}, {"start": 2510.33, "end": 2510.95, "word": " قداش", "probability": 0.7010091145833334}, {"start": 2510.95, "end": 2511.97, "word": " تلاتة", "probability": 0.88671875}, {"start": 2511.97, "end": 2513.19, "word": " زائد", "probability": 0.8629557291666666}, {"start": 2513.19, "end": 2514.23, "word": " ناقص", "probability": 0.9674072265625}, {"start": 2514.23, "end": 2514.71, "word": " اتنين", "probability": 0.9674072265625}, {"start": 2514.71, "end": 2514.89, "word": " اللي", "probability": 0.87548828125}, {"start": 2514.89, "end": 2515.11, "word": " هو", "probability": 0.85693359375}, {"start": 2515.11, "end": 2515.55, "word": " y", "probability": 0.853515625}, {"start": 2515.55, "end": 2516.19, "word": " واحد", "probability": 0.983154296875}, {"start": 2516.19, "end": 2517.63, "word": " ناقص", "probability": 0.9927978515625}, {"start": 2517.63, "end": 2519.13, "word": " تلاتة", "probability": 0.977783203125}, {"start": 2519.13, "end": 2520.03, "word": " كله", "probability": 0.957763671875}, {"start": 2520.03, "end": 2520.31, "word": " في", "probability": 0.96533203125}, {"start": 2520.31, "end": 2520.57, "word": " T", "probability": 0.5107421875}, {"start": 2520.57, "end": 2521.35, "word": " هذا", "probability": 0.84033203125}, {"start": 2521.35, "end": 2521.69, "word": " بدي", "probability": 0.5877685546875}, {"start": 2521.69, "end": 2522.29, "word": " اعطيلك", "probability": 0.629345703125}, {"start": 2522.29, "end": 2522.53, "word": " ان", "probability": 0.84765625}, {"start": 2522.53, "end": 2522.99, "word": " y", "probability": 0.78271484375}, {"start": 2522.99, "end": 2523.75, "word": " ساوي", "probability": 0.7804361979166666}, {"start": 2523.75, "end": 2525.55, "word": " تلاتة", "probability": 0.951416015625}, {"start": 2525.55, "end": 2526.47, "word": " ناقص", "probability": 0.99462890625}, {"start": 2526.47, "end": 2527.51, "word": " خمسة", "probability": 0.94580078125}, {"start": 2527.51, "end": 2527.89, "word": " T", "probability": 0.8955078125}, {"start": 2527.89, "end": 2529.05, "word": " ضلت", "probability": 0.682373046875}, {"start": 2529.05, "end": 2529.31, "word": " ان", "probability": 0.2396240234375}, {"start": 2529.31, "end": 2529.75, "word": " هنا", "probability": 0.93115234375}, {"start": 2529.75, "end": 2529.97, "word": " T", "probability": 0.89990234375}, {"start": 2529.97, "end": 2530.45, "word": " أبصر", "probability": 0.8336181640625}, {"start": 2530.45, "end": 2530.61, "word": " من", "probability": 0.986328125}, {"start": 2530.61, "end": 2530.83, "word": " وين", "probability": 0.4056396484375}, {"start": 2530.83, "end": 2531.29, "word": " لوين", "probability": 0.7220052083333334}, {"start": 2531.29, "end": 2532.23, "word": " تعالوا", "probability": 0.83642578125}, {"start": 2532.23, "end": 2532.51, "word": " نشوف", "probability": 0.9539388020833334}, {"start": 2532.51, "end": 2532.73, "word": " T", "probability": 0.8701171875}, {"start": 2532.73, "end": 2532.93, "word": " من", "probability": 0.986328125}, {"start": 2532.93, "end": 2533.15, "word": " وين", "probability": 0.986328125}, {"start": 2533.15, "end": 2533.55, "word": " لوين", "probability": 0.9488932291666666}], "temperature": 1.0}, {"id": 105, "seek": 255185, "start": 2534.57, "end": 2551.85, "text": "مش محددالي لكن انا كيف بدي اجيب النقطة هذه من خلال المعادلات البرامترية؟ لو حطتي قداش هنا بحصل على النقطة الأولى صفر يبقى لو كانت", "tokens": [2304, 8592, 3714, 24401, 3215, 6027, 1829, 44381, 1975, 8315, 9122, 33911, 4724, 16254, 1975, 7435, 1829, 3555, 28239, 47432, 3660, 29538, 9154, 16490, 1211, 6027, 9673, 3615, 18513, 1211, 9307, 2423, 26890, 10943, 2655, 2288, 10632, 22807, 45164, 11331, 9566, 31371, 12174, 3215, 33599, 34105, 4724, 5016, 36520, 15844, 28239, 47432, 3660, 16247, 12610, 7578, 20328, 5172, 2288, 7251, 3555, 4587, 7578, 45164, 25961, 2655], "avg_logprob": -0.18808302283287048, "compression_ratio": 1.5918367346938775, "no_speech_prob": 0.0, "words": [{"start": 2534.57, "end": 2534.89, "word": "مش", "probability": 0.507080078125}, {"start": 2534.89, "end": 2535.77, "word": " محددالي", "probability": 0.8505859375}, {"start": 2535.77, "end": 2536.11, "word": " لكن", "probability": 0.58349609375}, {"start": 2536.11, "end": 2536.75, "word": " انا", "probability": 0.79248046875}, {"start": 2536.75, "end": 2537.51, "word": " كيف", "probability": 0.97705078125}, {"start": 2537.51, "end": 2537.81, "word": " بدي", "probability": 0.73779296875}, {"start": 2537.81, "end": 2538.23, "word": " اجيب", "probability": 0.9161376953125}, {"start": 2538.23, "end": 2538.93, "word": " النقطة", "probability": 0.9554036458333334}, {"start": 2538.93, "end": 2539.27, "word": " هذه", "probability": 0.61279296875}, {"start": 2539.27, "end": 2539.53, "word": " من", "probability": 0.994140625}, {"start": 2539.53, "end": 2540.15, "word": " خلال", "probability": 0.9939778645833334}, {"start": 2540.15, "end": 2541.09, "word": " المعادلات", "probability": 0.860546875}, {"start": 2541.09, "end": 2542.73, "word": " البرامترية؟", "probability": 0.7569056919642857}, {"start": 2542.73, "end": 2542.95, "word": " لو", "probability": 0.94873046875}, {"start": 2542.95, "end": 2543.87, "word": " حطتي", "probability": 0.7125244140625}, {"start": 2543.87, "end": 2544.71, "word": " قداش", "probability": 0.7947591145833334}, {"start": 2544.71, "end": 2545.21, "word": " هنا", "probability": 0.9501953125}, {"start": 2545.21, "end": 2546.01, "word": " بحصل", "probability": 0.90771484375}, {"start": 2546.01, "end": 2546.23, "word": " على", "probability": 0.93701171875}, {"start": 2546.23, "end": 2546.79, "word": " النقطة", "probability": 0.962890625}, {"start": 2546.79, "end": 2548.41, "word": " الأولى", "probability": 0.9514973958333334}, {"start": 2548.41, "end": 2549.87, "word": " صفر", "probability": 0.9342447916666666}, {"start": 2549.87, "end": 2550.75, "word": " يبقى", "probability": 0.907958984375}, {"start": 2550.75, "end": 2550.95, "word": " لو", "probability": 0.96630859375}, {"start": 2550.95, "end": 2551.85, "word": " كانت", "probability": 0.9921875}], "temperature": 1.0}, {"id": 106, "seek": 258016, "start": 2552.66, "end": 2580.16, "text": "الـ T تساوي Zero ثم X و Y سيعطينا سالب واحد و تلاتة صفر بطير و بظل سالب واحد و تلاتة اليمين النقطة الأولى هنا لو كان الـ T أبصر قداش ثم X و Y سيعطينا النقطة التانية اليمين تلاتة و سالب اتنين", "tokens": [6027, 39184, 314, 6055, 3794, 995, 45865, 17182, 38637, 2304, 1783, 4032, 398, 8608, 40228, 9566, 1829, 8315, 8608, 6027, 3555, 36764, 24401, 4032, 6055, 1211, 9307, 3660, 20328, 5172, 2288, 4724, 9566, 13546, 4032, 4724, 19913, 1211, 8608, 6027, 3555, 36764, 24401, 4032, 6055, 1211, 9307, 3660, 2423, 32640, 9957, 28239, 47432, 3660, 16247, 12610, 7578, 34105, 45164, 25961, 2423, 39184, 314, 5551, 3555, 9381, 2288, 12174, 3215, 33599, 38637, 2304, 1783, 4032, 398, 8608, 40228, 9566, 1829, 8315, 28239, 47432, 3660, 16712, 7649, 10632, 2423, 32640, 9957, 6055, 1211, 9307, 3660, 4032, 8608, 6027, 3555, 1975, 2655, 1863, 9957], "avg_logprob": -0.2372855395078659, "compression_ratio": 2.0, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2552.66, "end": 2553.12, "word": "الـ", "probability": 0.4261474609375}, {"start": 2553.12, "end": 2553.56, "word": " T", "probability": 0.5576171875}, {"start": 2553.56, "end": 2554.68, "word": " تساوي", "probability": 0.753143310546875}, {"start": 2554.68, "end": 2555.22, "word": " Zero", "probability": 0.412353515625}, {"start": 2555.22, "end": 2556.3, "word": " ثم", "probability": 0.8212890625}, {"start": 2556.3, "end": 2557.32, "word": " X", "probability": 0.89306640625}, {"start": 2557.32, "end": 2557.7, "word": " و", "probability": 0.89794921875}, {"start": 2557.7, "end": 2558.14, "word": " Y", "probability": 0.5166015625}, {"start": 2558.14, "end": 2559.38, "word": " سيعطينا", "probability": 0.56220703125}, {"start": 2559.38, "end": 2559.94, "word": " سالب", "probability": 0.7064615885416666}, {"start": 2559.94, "end": 2560.66, "word": " واحد", "probability": 0.94482421875}, {"start": 2560.66, "end": 2560.88, "word": " و", "probability": 0.72607421875}, {"start": 2560.88, "end": 2561.42, "word": " تلاتة", "probability": 0.7896728515625}, {"start": 2561.42, "end": 2562.26, "word": " صفر", "probability": 0.73876953125}, {"start": 2562.26, "end": 2562.66, "word": " بطير", "probability": 0.75146484375}, {"start": 2562.66, "end": 2562.78, "word": " و", "probability": 0.9111328125}, {"start": 2562.78, "end": 2563.06, "word": " بظل", "probability": 0.7044270833333334}, {"start": 2563.06, "end": 2563.46, "word": " سالب", "probability": 0.9544270833333334}, {"start": 2563.46, "end": 2563.74, "word": " واحد", "probability": 0.978515625}, {"start": 2563.74, "end": 2563.9, "word": " و", "probability": 0.953125}, {"start": 2563.9, "end": 2564.26, "word": " تلاتة", "probability": 0.9610595703125}, {"start": 2564.26, "end": 2564.88, "word": " اليمين", "probability": 0.5798746744791666}, {"start": 2564.88, "end": 2566.0, "word": " النقطة", "probability": 0.7980143229166666}, {"start": 2566.0, "end": 2566.62, "word": " الأولى", "probability": 0.9441731770833334}, {"start": 2566.62, "end": 2567.54, "word": " هنا", "probability": 0.80859375}, {"start": 2567.54, "end": 2567.88, "word": " لو", "probability": 0.7392578125}, {"start": 2567.88, "end": 2568.36, "word": " كان", "probability": 0.97900390625}, {"start": 2568.36, "end": 2568.6, "word": " الـ", "probability": 0.6728515625}, {"start": 2568.6, "end": 2568.8, "word": " T", "probability": 0.775390625}, {"start": 2568.8, "end": 2569.48, "word": " أبصر", "probability": 0.8887939453125}, {"start": 2569.48, "end": 2570.36, "word": " قداش", "probability": 0.8009440104166666}, {"start": 2570.36, "end": 2571.38, "word": " ثم", "probability": 0.7880859375}, {"start": 2571.38, "end": 2572.36, "word": " X", "probability": 0.974609375}, {"start": 2572.36, "end": 2572.76, "word": " و", "probability": 0.98095703125}, {"start": 2572.76, "end": 2573.22, "word": " Y", "probability": 0.75927734375}, {"start": 2573.22, "end": 2574.52, "word": " سيعطينا", "probability": 0.9521484375}, {"start": 2574.52, "end": 2575.4, "word": " النقطة", "probability": 0.94091796875}, {"start": 2575.4, "end": 2576.34, "word": " التانية", "probability": 0.9435221354166666}, {"start": 2576.34, "end": 2577.02, "word": " اليمين", "probability": 0.9303385416666666}, {"start": 2577.02, "end": 2578.62, "word": " تلاتة", "probability": 0.9476318359375}, {"start": 2578.62, "end": 2579.04, "word": " و", "probability": 0.6787109375}, {"start": 2579.04, "end": 2579.62, "word": " سالب", "probability": 0.9453125}, {"start": 2579.62, "end": 2580.16, "word": " اتنين", "probability": 0.9500732421875}], "temperature": 1.0}, {"id": 107, "seek": 260973, "start": 2580.94, "end": 2609.74, "text": "أيوة حطلي T بواحد بيصير هنا أربعة و سالب واحد بيظل قداش تلاتة أيها حطلي T بواحد بيظل تلاتة ناقص اتنين اللي هو ناقص اتنين يبقى T تساوي واحد إذا T هذه بدأ تبقى أكبر من أو تساوي Zero وأقل من أو تساوي واحد السؤال اللي بدي أسأله لو عملت المعادلتين وما كتبتش هذا الشرط حليت حلا كاملا؟", "tokens": [10721, 1829, 2407, 3660, 11331, 9566, 20292, 314, 4724, 14407, 24401, 4724, 1829, 9381, 13546, 34105, 5551, 25513, 27884, 4032, 8608, 6027, 3555, 36764, 24401, 4724, 1829, 19913, 1211, 12174, 3215, 33599, 6055, 1211, 9307, 3660, 36632, 11296, 11331, 9566, 20292, 314, 4724, 14407, 24401, 4724, 1829, 19913, 1211, 6055, 1211, 9307, 3660, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 314, 6055, 3794, 995, 45865, 36764, 24401, 11933, 15730, 314, 29538, 47525, 10721, 6055, 3555, 4587, 7578, 5551, 4117, 26890, 9154, 34051, 6055, 3794, 995, 45865, 17182, 36725, 4587, 1211, 9154, 34051, 6055, 3794, 995, 45865, 36764, 24401, 21136, 33604, 6027, 13672, 1829, 4724, 16254, 5551, 3794, 10721, 43761, 45164, 6225, 42213, 2655, 9673, 3615, 18513, 1211, 2655, 9957, 4032, 15042, 9122, 2655, 3555, 2655, 8592, 23758, 25124, 2288, 9566, 11331, 1211, 36081, 11331, 15040, 9122, 10943, 15040, 22807], "avg_logprob": -0.18549679563595697, "compression_ratio": 2.063025210084034, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2580.94, "end": 2581.52, "word": "أيوة", "probability": 0.615692138671875}, {"start": 2581.52, "end": 2582.1, "word": " حطلي", "probability": 0.59814453125}, {"start": 2582.1, "end": 2582.3, "word": " T", "probability": 0.58544921875}, {"start": 2582.3, "end": 2582.86, "word": " بواحد", "probability": 0.9005533854166666}, {"start": 2582.86, "end": 2583.44, "word": " بيصير", "probability": 0.6856689453125}, {"start": 2583.44, "end": 2583.7, "word": " هنا", "probability": 0.8427734375}, {"start": 2583.7, "end": 2584.22, "word": " أربعة", "probability": 0.78662109375}, {"start": 2584.22, "end": 2584.38, "word": " و", "probability": 0.44580078125}, {"start": 2584.38, "end": 2584.66, "word": " سالب", "probability": 0.6722819010416666}, {"start": 2584.66, "end": 2584.9, "word": " واحد", "probability": 0.9697265625}, {"start": 2584.9, "end": 2585.1, "word": " بيظل", "probability": 0.70281982421875}, {"start": 2585.1, "end": 2585.68, "word": " قداش", "probability": 0.5897623697916666}, {"start": 2585.68, "end": 2586.84, "word": " تلاتة", "probability": 0.88623046875}, {"start": 2586.84, "end": 2587.36, "word": " أيها", "probability": 0.794677734375}, {"start": 2587.36, "end": 2588.58, "word": " حطلي", "probability": 0.9388020833333334}, {"start": 2588.58, "end": 2588.88, "word": " T", "probability": 0.958984375}, {"start": 2588.88, "end": 2589.66, "word": " بواحد", "probability": 0.9977213541666666}, {"start": 2589.66, "end": 2590.28, "word": " بيظل", "probability": 0.9564208984375}, {"start": 2590.28, "end": 2590.84, "word": " تلاتة", "probability": 0.9820556640625}, {"start": 2590.84, "end": 2591.36, "word": " ناقص", "probability": 0.9188232421875}, {"start": 2591.36, "end": 2591.74, "word": " اتنين", "probability": 0.978759765625}, {"start": 2591.74, "end": 2591.9, "word": " اللي", "probability": 0.935302734375}, {"start": 2591.9, "end": 2592.0, "word": " هو", "probability": 0.9736328125}, {"start": 2592.0, "end": 2592.56, "word": " ناقص", "probability": 0.9583740234375}, {"start": 2592.56, "end": 2593.16, "word": " اتنين", "probability": 0.9896240234375}, {"start": 2593.16, "end": 2593.96, "word": " يبقى", "probability": 0.9654541015625}, {"start": 2593.96, "end": 2594.22, "word": " T", "probability": 0.9765625}, {"start": 2594.22, "end": 2594.9, "word": " تساوي", "probability": 0.9439697265625}, {"start": 2594.9, "end": 2595.48, "word": " واحد", "probability": 0.99267578125}, {"start": 2595.48, "end": 2596.26, "word": " إذا", "probability": 0.679931640625}, {"start": 2596.26, "end": 2596.94, "word": " T", "probability": 0.59228515625}, {"start": 2596.94, "end": 2597.74, "word": " هذه", "probability": 0.505859375}, {"start": 2597.74, "end": 2598.58, "word": " بدأ", "probability": 0.810302734375}, {"start": 2598.58, "end": 2599.1, "word": " تبقى", "probability": 0.98291015625}, {"start": 2599.1, "end": 2599.66, "word": " أكبر", "probability": 0.9410807291666666}, {"start": 2599.66, "end": 2599.86, "word": " من", "probability": 0.966796875}, {"start": 2599.86, "end": 2600.08, "word": " أو", "probability": 0.6669921875}, {"start": 2600.08, "end": 2600.64, "word": " تساوي", "probability": 0.97119140625}, {"start": 2600.64, "end": 2600.9, "word": " Zero", "probability": 0.4814453125}, {"start": 2600.9, "end": 2601.56, "word": " وأقل", "probability": 0.8273111979166666}, {"start": 2601.56, "end": 2601.78, "word": " من", "probability": 0.99658203125}, {"start": 2601.78, "end": 2602.06, "word": " أو", "probability": 0.9697265625}, {"start": 2602.06, "end": 2602.52, "word": " تساوي", "probability": 0.99365234375}, {"start": 2602.52, "end": 2602.94, "word": " واحد", "probability": 0.990966796875}, {"start": 2602.94, "end": 2603.68, "word": " السؤال", "probability": 0.9889322916666666}, {"start": 2603.68, "end": 2603.76, "word": " اللي", "probability": 0.922119140625}, {"start": 2603.76, "end": 2603.98, "word": " بدي", "probability": 0.642578125}, {"start": 2603.98, "end": 2604.5, "word": " أسأله", "probability": 0.8519287109375}, {"start": 2604.5, "end": 2605.02, "word": " لو", "probability": 0.751953125}, {"start": 2605.02, "end": 2605.46, "word": " عملت", "probability": 0.9781901041666666}, {"start": 2605.46, "end": 2606.3, "word": " المعادلتين", "probability": 0.921630859375}, {"start": 2606.3, "end": 2606.5, "word": " وما", "probability": 0.762939453125}, {"start": 2606.5, "end": 2607.34, "word": " كتبتش", "probability": 0.933203125}, {"start": 2607.34, "end": 2607.74, "word": " هذا", "probability": 0.96923828125}, {"start": 2607.74, "end": 2608.2, "word": " الشرط", "probability": 0.9658203125}, {"start": 2608.2, "end": 2608.66, "word": " حليت", "probability": 0.7879231770833334}, {"start": 2608.66, "end": 2608.96, "word": " حلا", "probability": 0.6160888671875}, {"start": 2608.96, "end": 2609.74, "word": " كاملا؟", "probability": 0.904541015625}], "temperature": 1.0}, {"id": 108, "seek": 263933, "start": 2610.31, "end": 2639.33, "text": "لو كان السؤال عليه خمس علامات بقسمك علي هذه علامتين اه در بالك لإن هذه جزء من الحلو جزء من الحلو لإن قطعة مستقيمة محصورة ما بين نقطتين هي النقطتين وهي المحاور هذا X وهذا Y النقطة الأولى سالب واحد وتلاتة سالب واحد وتلاتة والنقطة التانية تلاتة وسالب اتنين تلاتة وسالب اتنين", "tokens": [1211, 2407, 25961, 21136, 33604, 6027, 47356, 16490, 2304, 3794, 11203, 10943, 9307, 4724, 4587, 38251, 4117, 25894, 29538, 11203, 10943, 2655, 9957, 1975, 3224, 11778, 2288, 20666, 4117, 5296, 28814, 1863, 29538, 10874, 11622, 38207, 9154, 21542, 1211, 2407, 10874, 11622, 38207, 9154, 21542, 1211, 2407, 5296, 28814, 1863, 12174, 9566, 27884, 3714, 14851, 4587, 32640, 3660, 3714, 5016, 9381, 13063, 3660, 19446, 49374, 8717, 47432, 2655, 9957, 39896, 28239, 47432, 2655, 9957, 37037, 1829, 9673, 5016, 995, 13063, 23758, 1783, 37037, 15730, 398, 28239, 47432, 3660, 16247, 12610, 7578, 8608, 6027, 3555, 36764, 24401, 34683, 1211, 9307, 3660, 8608, 6027, 3555, 36764, 24401, 34683, 1211, 9307, 3660, 16070, 1863, 47432, 3660, 16712, 7649, 10632, 6055, 1211, 9307, 3660, 46952, 6027, 3555, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 46952, 6027, 3555, 1975, 2655, 1863, 9957], "avg_logprob": -0.17738309931412016, "compression_ratio": 2.3285714285714287, "no_speech_prob": 0.0, "words": [{"start": 2610.31, "end": 2610.69, "word": "لو", "probability": 0.686767578125}, {"start": 2610.69, "end": 2610.91, "word": " كان", "probability": 0.9443359375}, {"start": 2610.91, "end": 2611.23, "word": " السؤال", "probability": 0.94482421875}, {"start": 2611.23, "end": 2611.49, "word": " عليه", "probability": 0.80419921875}, {"start": 2611.49, "end": 2611.91, "word": " خمس", "probability": 0.92919921875}, {"start": 2611.91, "end": 2612.31, "word": " علامات", "probability": 0.98046875}, {"start": 2612.31, "end": 2612.97, "word": " بقسمك", "probability": 0.4757080078125}, {"start": 2612.97, "end": 2613.15, "word": " علي", "probability": 0.63134765625}, {"start": 2613.15, "end": 2613.39, "word": " هذه", "probability": 0.493896484375}, {"start": 2613.39, "end": 2614.15, "word": " علامتين", "probability": 0.9725341796875}, {"start": 2614.15, "end": 2615.63, "word": " اه", "probability": 0.53460693359375}, {"start": 2615.63, "end": 2615.79, "word": " در", "probability": 0.610595703125}, {"start": 2615.79, "end": 2616.25, "word": " بالك", "probability": 0.84814453125}, {"start": 2616.25, "end": 2616.51, "word": " لإن", "probability": 0.77880859375}, {"start": 2616.51, "end": 2616.85, "word": " هذه", "probability": 0.62451171875}, {"start": 2616.85, "end": 2617.45, "word": " جزء", "probability": 0.9928385416666666}, {"start": 2617.45, "end": 2617.67, "word": " من", "probability": 0.99365234375}, {"start": 2617.67, "end": 2618.13, "word": " الحلو", "probability": 0.6941324869791666}, {"start": 2618.13, "end": 2618.37, "word": " جزء", "probability": 0.85302734375}, {"start": 2618.37, "end": 2618.45, "word": " من", "probability": 0.81982421875}, {"start": 2618.45, "end": 2618.45, "word": " الحلو", "probability": 0.8771158854166666}, {"start": 2618.45, "end": 2618.63, "word": " لإن", "probability": 0.9012044270833334}, {"start": 2618.63, "end": 2619.19, "word": " قطعة", "probability": 0.8587239583333334}, {"start": 2619.19, "end": 2620.35, "word": " مستقيمة", "probability": 0.96591796875}, {"start": 2620.35, "end": 2621.31, "word": " محصورة", "probability": 0.96513671875}, {"start": 2621.31, "end": 2621.49, "word": " ما", "probability": 0.74609375}, {"start": 2621.49, "end": 2621.91, "word": " بين", "probability": 0.97021484375}, {"start": 2621.91, "end": 2622.81, "word": " نقطتين", "probability": 0.970703125}, {"start": 2622.81, "end": 2623.61, "word": " هي", "probability": 0.1884765625}, {"start": 2623.61, "end": 2624.61, "word": " النقطتين", "probability": 0.9517822265625}, {"start": 2624.61, "end": 2625.27, "word": " وهي", "probability": 0.787841796875}, {"start": 2625.27, "end": 2625.91, "word": " المحاور", "probability": 0.9656982421875}, {"start": 2625.91, "end": 2626.21, "word": " هذا", "probability": 0.50732421875}, {"start": 2626.21, "end": 2626.71, "word": " X", "probability": 0.8056640625}, {"start": 2626.71, "end": 2627.23, "word": " وهذا", "probability": 0.89013671875}, {"start": 2627.23, "end": 2627.61, "word": " Y", "probability": 0.98876953125}, {"start": 2627.61, "end": 2628.51, "word": " النقطة", "probability": 0.9656575520833334}, {"start": 2628.51, "end": 2628.79, "word": " الأولى", "probability": 0.9737955729166666}, {"start": 2628.79, "end": 2629.25, "word": " سالب", "probability": 0.7881673177083334}, {"start": 2629.25, "end": 2629.63, "word": " واحد", "probability": 0.9267578125}, {"start": 2629.63, "end": 2630.43, "word": " وتلاتة", "probability": 0.773193359375}, {"start": 2630.43, "end": 2631.09, "word": " سالب", "probability": 0.8982747395833334}, {"start": 2631.09, "end": 2631.89, "word": " واحد", "probability": 0.980224609375}, {"start": 2631.89, "end": 2633.39, "word": " وتلاتة", "probability": 0.88623046875}, {"start": 2633.39, "end": 2634.55, "word": " والنقطة", "probability": 0.8831787109375}, {"start": 2634.55, "end": 2634.93, "word": " التانية", "probability": 0.9807942708333334}, {"start": 2634.93, "end": 2635.67, "word": " تلاتة", "probability": 0.9190673828125}, {"start": 2635.67, "end": 2636.37, "word": " وسالب", "probability": 0.8111979166666666}, {"start": 2636.37, "end": 2636.97, "word": " اتنين", "probability": 0.973876953125}, {"start": 2636.97, "end": 2638.05, "word": " تلاتة", "probability": 0.961181640625}, {"start": 2638.05, "end": 2638.71, "word": " وسالب", "probability": 0.9493815104166666}, {"start": 2638.71, "end": 2639.33, "word": " اتنين", "probability": 0.993896484375}], "temperature": 1.0}, {"id": 109, "seek": 265266, "start": 2641.04, "end": 2652.66, "text": "يبقى النقطة هادي، ها يبقى لو جيت ووصلت بينهم هكذا الخط أو القطعة المستقيمة، لحد اين انتهى الsection", "tokens": [1829, 3555, 4587, 7578, 28239, 47432, 3660, 8032, 995, 16254, 12399, 8032, 995, 7251, 3555, 4587, 7578, 45164, 10874, 36081, 4032, 2407, 36520, 2655, 49374, 16095, 8032, 4117, 15730, 33962, 9566, 34051, 25062, 9566, 27884, 9673, 14851, 4587, 32640, 3660, 12399, 5296, 24401, 1975, 9957, 16472, 47395, 7578, 2423, 11963], "avg_logprob": -0.38357844539717134, "compression_ratio": 1.3488372093023255, "no_speech_prob": 2.300739288330078e-05, "words": [{"start": 2641.04, "end": 2641.48, "word": "يبقى", "probability": 0.677886962890625}, {"start": 2641.48, "end": 2642.0, "word": " النقطة", "probability": 0.9444986979166666}, {"start": 2642.0, "end": 2643.62, "word": " هادي،", "probability": 0.4544677734375}, {"start": 2643.62, "end": 2643.92, "word": " ها", "probability": 0.4837646484375}, {"start": 2643.92, "end": 2644.26, "word": " يبقى", "probability": 0.980712890625}, {"start": 2644.26, "end": 2644.46, "word": " لو", "probability": 0.919921875}, {"start": 2644.46, "end": 2644.78, "word": " جيت", "probability": 0.899169921875}, {"start": 2644.78, "end": 2645.52, "word": " ووصلت", "probability": 0.7703857421875}, {"start": 2645.52, "end": 2646.18, "word": " بينهم", "probability": 0.98388671875}, {"start": 2646.18, "end": 2647.06, "word": " هكذا", "probability": 0.70068359375}, {"start": 2647.06, "end": 2647.96, "word": " الخط", "probability": 0.74658203125}, {"start": 2647.96, "end": 2648.42, "word": " أو", "probability": 0.669921875}, {"start": 2648.42, "end": 2649.24, "word": " القطعة", "probability": 0.9661458333333334}, {"start": 2649.24, "end": 2650.96, "word": " المستقيمة،", "probability": 0.8833414713541666}, {"start": 2650.96, "end": 2651.52, "word": " لحد", "probability": 0.94482421875}, {"start": 2651.52, "end": 2651.82, "word": " اين", "probability": 0.50164794921875}, {"start": 2651.82, "end": 2652.22, "word": " انتهى", "probability": 0.8177083333333334}, {"start": 2652.22, "end": 2652.66, "word": " الsection", "probability": 0.565185546875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2652.996, "duration_after_vad": 2491.211593749995}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2552cd4c4eddec745faa33ba2235b2af1afe3286
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/Vy6Kbu34oHE_raw.srt
@@ -0,0 +1,1600 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,530 --> 00:00:16,310
+بسم الله الرحمن الرحيم الشرطر 11 هذا بتتكلم عن
+
+3
+00:00:16,310 --> 00:00:21,210
+نقطتين أساسيتين النقطة الأولى اله ال parametric
+
+4
+00:00:21,210 --> 00:00:25,030
+equations والنقطة الثانية اله polar coordinates
+
+5
+00:00:25,030 --> 00:00:29,870
+الإحداثيات القطبية و ال parametric equations
+
+6
+00:00:29,870 --> 00:00:37,800
+المعادلات ال parameterية أو المعادلات الوسيطيةنجي
+
+7
+00:00:37,800 --> 00:00:43,100
+لسيكشن الاول بتكلم عن parameterization of a plane
+
+8
+00:00:43,100 --> 00:00:47,240
+curve احنا متعودين على الملحنة ان يكون دائما وابدا
+
+9
+00:00:47,240 --> 00:00:52,820
+بدلالة x و y يعني معادلة تربط بين المتغيرين x و y
+
+10
+00:00:52,820 --> 00:00:58,180
+و بنشتل عليها و هكذالكن ده مدخل اللي هو متغير في
+
+11
+00:00:58,180 --> 00:01:04,240
+المصمم بالاتنين كويس هذا المتغير اللي هو الوسيط او
+
+12
+00:01:04,240 --> 00:01:10,780
+ال parameter يبقى parameter يبقى هو المتغير الجديد
+
+13
+00:01:10,780 --> 00:01:15,520
+اللي بدخل بين المتغيرين X وY وبالتالي بنكتب ال X
+
+14
+00:01:15,520 --> 00:01:21,780
+وY بدلالة هذا المتغير الجديد اللي هنسميه هنا اللي
+
+15
+00:01:21,780 --> 00:01:26,660
+هو Tعندما أقول parameterization of a plane curve
+
+16
+00:01:26,660 --> 00:01:33,160
+المنحنى مقطع بدلالة x و y سأحوله إلى منحنى بدلالة
+
+17
+00:01:33,160 --> 00:01:38,160
+t أو العكس المنحنى مقطع بدلالة t سأحذف ت ما بين
+
+18
+00:01:38,160 --> 00:01:42,960
+المتغيرات اللي عندي و أخلي بس عندي من x و y
+
+19
+00:01:42,960 --> 00:01:46,460
+العملية هذه هي اللي بسميها parameterization of a
+
+20
+00:01:46,460 --> 00:01:52,200
+plane curve نعطي تعريفقال لو عندك X هي function في
+
+21
+00:01:52,200 --> 00:01:58,240
+T و Y هي function في T عبارة عن دوال مقطع في T و T
+
+22
+00:01:58,240 --> 00:02:02,300
+موجودة في ال interval I ولا محدد طبيعة ال interval
+
+23
+00:02:02,300 --> 00:02:02,740
+I
+
+24
+00:02:09,740 --> 00:02:16,800
+مجموعة النقاط X وY أو X هي F of T وY هي G of T
+
+25
+00:02:16,800 --> 00:02:21,800
+مجموعة النقاط هذول is a parametric curve المنحنى
+
+26
+00:02:21,800 --> 00:02:26,660
+الوسيطي أو المنحنى البراميطي يعني بدل ما كان
+
+27
+00:02:26,660 --> 00:02:29,740
+بدلالة X وY خلته بدلالة T
+
+28
+00:02:36,780 --> 00:02:42,240
+المعادلات البرامترية لهذا المنحنى يبقى المعادلات
+
+29
+00:02:42,240 --> 00:02:47,000
+البرامترية لهذا المنحنى وT بسميه الوسيط او ال
+
+30
+00:02:47,000 --> 00:02:52,060
+parameter لهذا المنحنى على اي حال لو عندي منحنى في
+
+31
+00:02:52,060 --> 00:02:55,320
+الصيغة الكارتيزية و بدى اكتبه على الصيغة
+
+32
+00:02:55,320 --> 00:03:00,390
+البرامترية يمكن كتابته باكثر من طريقةيعني ليس
+
+33
+00:03:00,390 --> 00:03:04,210
+بالضرورة تكون طريقة واحدة مافيش غيرها، يمكن نكتبه
+
+34
+00:03:04,210 --> 00:03:08,490
+بطريقتين، يمكن بثلاثة، يمكن باربعة، إلى آخرينرح
+
+35
+00:03:08,490 --> 00:03:13,090
+نكتب هذا في الملاحظة التالية المنحنة المعطاة يمكن
+
+36
+00:03:13,090 --> 00:03:18,750
+ان يمثل represented يعني يمثل by a different sets
+
+37
+00:03:18,750 --> 00:03:22,570
+of parametric equations بمجموعة مختلفة من
+
+38
+00:03:22,570 --> 00:03:27,050
+المعادلات ال parametricية شكلهم ماجربوش لبعض لكن
+
+39
+00:03:27,050 --> 00:03:30,990
+لو حولتهم إلى صيغة كارتيزية بتطلع منهم نفس
+
+40
+00:03:30,990 --> 00:03:36,260
+المعادلة إذا المعادلة الكارتيزية لها أكثر من شكلفي
+
+41
+00:03:36,260 --> 00:03:41,480
+الصيغة البرامترية نبدأ نعطي أمثلة ونشوف كيف بدنا
+
+42
+00:03:41,480 --> 00:03:46,420
+نشتغل في هذا ال section بيقول لي المعادلات التالية
+
+43
+00:03:46,420 --> 00:03:52,280
+بتصف حركة جسم في ال XY plane لو أخدت محور الصينة
+
+44
+00:03:52,280 --> 00:03:57,260
+ومحور الصدات او محور X ومحور Y يبقى بالمحورين في
+
+45
+00:03:57,260 --> 00:04:03,800
+المستوى تمام؟ في جسم يتحرك في هذا المستوى بيقول
+
+46
+00:04:03,800 --> 00:04:09,730
+ليش؟identify the particles path بدك تحددلي مصار
+
+47
+00:04:09,730 --> 00:04:14,650
+الجثيم هذا ايه يعني مصار الجثيم يعني المنحنة اللي
+
+48
+00:04:14,650 --> 00:04:20,050
+بيعمل الجثيم اتناء حركته هل هو خط مستقيم، هل هو
+
+49
+00:04:20,050 --> 00:04:24,570
+انفس، هل هو برابولة، هاي برابولة، منحنة way to say
+
+50
+00:04:24,570 --> 00:04:29,090
+واحد عليكس، اي المنحنات، من هالمنحنات اللي انت
+
+51
+00:04:29,090 --> 00:04:34,760
+بتعرفهاما دام عرفته هاتله ال kartesian equation
+
+52
+00:04:34,760 --> 00:04:39,040
+وروح ارسملي ال kartesian equation منشان نعرف ما هو
+
+53
+00:04:39,040 --> 00:04:44,020
+الشكل هذا المنحنى تلاتة بيين لاتجاه الحركة طالعة
+
+54
+00:04:44,020 --> 00:04:48,880
+نازلة مع قرب الساعة ضد عقرب الساعة لليمين للشمال
+
+55
+00:04:48,880 --> 00:04:53,120
+إلى أعلى إلى أسفل كل هذا بدك تحدده ليه و تبينه ليه
+
+56
+00:04:53,370 --> 00:04:58,350
+الان فينا مجموعة من الأمثلة عالمين على هذه
+
+57
+00:04:58,350 --> 00:05:03,070
+المطاليب التلاتة اول مثال بيقول لو كان x يساوي cos
+
+58
+00:05:03,070 --> 00:05:10,430
+t و y يساوي sin tو T حصرناها فقط من Zero لغاية Pi
+
+59
+00:05:10,430 --> 00:05:14,670
+قال لي على هذا المنحناة بدنا نجيب المطاليب التلاتة
+
+60
+00:05:14,670 --> 00:05:18,850
+هذه قال لي اتفقدي ال particles first شوفي المسار
+
+61
+00:05:18,850 --> 00:05:22,690
+تبع الجسم هذا عبارة عن ايش بقول له ايه؟ بده اجيب
+
+62
+00:05:22,690 --> 00:05:28,070
+المعادلاتين ال parameterيتين لاتنين هدولأضيع T بين
+
+63
+00:05:28,070 --> 00:05:33,530
+X وY واخد المعادلة بدل X وY وبتالي بعرف مسار
+
+64
+00:05:33,530 --> 00:05:39,650
+اليسام هذا السؤال هو كيف بدي أضيع T بين الأثنين
+
+65
+00:05:39,650 --> 00:05:45,090
+هذين طبعا بأكثر من طريقة في طريقة أتعلمناها في
+
+66
+00:05:45,090 --> 00:05:46,030
+calculus B
+
+67
+00:05:49,280 --> 00:05:54,980
+بقدر اقول له T تساوي cosine inverse X وشيل ال T
+
+68
+00:05:54,980 --> 00:06:00,520
+هذي و احطها sine ل cosine inverse X مظبوط؟ و بعد
+
+69
+00:06:00,520 --> 00:06:04,500
+ذلك هجيب sine ل cosine inverse X شو شكلها يعني
+
+70
+00:06:04,500 --> 00:06:09,300
+اختصرها بال 3X وبالتالي بجيب المعادلة واحد اشتر
+
+71
+00:06:09,300 --> 00:06:13,920
+منها شوية جالك و قوله شلق الكعبأخذت المتطابقات
+
+72
+00:06:13,920 --> 00:06:17,600
+المثلثية في calculus بقوله صحيح بقال انا مستطيع
+
+73
+00:06:17,600 --> 00:06:20,920
+استخدام المتطابقات المثلثية ولا اجيب معك و سبالة
+
+74
+00:06:20,920 --> 00:06:26,600
+ولا غيره بقولك اذا ربعت هذه و ربعت هذه و جمعت بطلع
+
+75
+00:06:26,600 --> 00:06:30,430
+واحد صحيح بضلش عندي Tيقولوا والله كلامك مزوغ، برضه
+
+76
+00:06:30,430 --> 00:06:35,830
+هذه طريقة لسه أبسط من طريقتنا الأولى يبقى أنت حل
+
+77
+00:06:35,830 --> 00:06:40,590
+بالطريقة اللي تقدر عليها طيرلي T بين المعادلتين
+
+78
+00:06:40,590 --> 00:06:46,090
+وهاتي معادلة واحدة بدون اتمين X وY يبقى احنا لو
+
+79
+00:06:46,090 --> 00:06:52,840
+جينا هنا قلنا المطلوب الأول لهذا السؤالأخذت X
+
+80
+00:06:52,840 --> 00:06:59,660
+تربية زائد Y تربية يبقى تساوي Cos تربية T زائد Sin
+
+81
+00:06:59,660 --> 00:07:05,180
+تربية T هذا بدي يعطيك ان X تربية زائد Y تربية
+
+82
+00:07:05,180 --> 00:07:14,700
+يساوي كده؟ معدلتش هذه يبقى هذه equation of a
+
+83
+00:07:14,700 --> 00:07:19,200
+circle with center
+
+84
+00:07:20,350 --> 00:07:31,170
+at the origin and radius اللي
+
+85
+00:07:31,170 --> 00:07:37,190
+هو oneطيب كويسة، هذه معلومة كويسة، الآن بدنا نروح
+
+86
+00:07:37,190 --> 00:07:42,830
+نرسم الرسمة بتبعتنا، أبصر تطلع دائرة كاملة،
+
+87
+00:07:42,830 --> 00:07:48,770
+الدائرة تلف مرتين، تلاتة، نصف دائرة، ربع دائرة،
+
+88
+00:07:48,770 --> 00:07:52,830
+الجد ما يطلع يطلع، المهم أنا مقيد بالفترة اللي
+
+89
+00:07:52,830 --> 00:07:57,030
+أعطاها ليها دي، تمام؟ لذلك بدأ أجيله للنقطة
+
+90
+00:07:57,030 --> 00:08:03,860
+التانيةبدي احسب اللي هو قيمة المعادلة او قيمة
+
+91
+00:08:03,860 --> 00:08:08,020
+النقاط اللي بدي اتحرك عليها الجسم خلال الفترة اللي
+
+92
+00:08:08,020 --> 00:08:14,900
+عندنا هذه فباجي بقولهلو كانت ال T تساوي 0 then X
+
+93
+00:08:14,900 --> 00:08:19,760
+وY بده يساوي اللي هو مين لشان أول مرة بده أكتبها
+
+94
+00:08:19,760 --> 00:08:26,580
+بالتفصيل يبقى هاي cosine 0 و هنا sin 0 cosine صفر
+
+95
+00:08:26,580 --> 00:08:33,200
+القداش cosine 0 إذا بدنا نبدأ من عند النقبة 1 و 0
+
+96
+00:08:33,200 --> 00:08:39,020
+دائما يا شباب ناخدتجاه parameter T تزايدي تجاه
+
+97
+00:08:39,020 --> 00:08:43,580
+increasing T من أقل القيمة ومن نجرح إلى أكبر قيمة
+
+98
+00:08:43,580 --> 00:08:47,580
+مش نمضى من الآخر ونرجع للأول يبقى في كل الرسم تبع
+
+99
+00:08:47,580 --> 00:08:52,020
+ال parameter كذا وعشان ناخد اتجاه تزايد T يبقى أقل
+
+100
+00:08:52,020 --> 00:08:55,360
+القيمة تاخدها T تساوي Zero لو أخدت القيمة اللي
+
+101
+00:08:55,360 --> 00:09:02,180
+بعدها فجهة قلت مثلا لو T تساوي بي على اتنين then X
+
+102
+00:09:02,180 --> 00:09:10,590
+Y تساوينأتي الآن لـcos πي على اتنين و sin باي على
+
+103
+00:09:10,590 --> 00:09:16,230
+اتنين cos باي على اتنين هو زره و sin باي على اتنين
+
+104
+00:09:16,230 --> 00:09:24,190
+هو واحد بعد ذلك لو كانت ال T تساوي باي then x و y
+
+105
+00:09:24,190 --> 00:09:32,890
+يساوي cos باي و هنا sin باي cos مية و تمانين و sin
+
+106
+00:09:33,310 --> 00:09:39,590
+بـ 0 يبقى خلاصنا الكلام اللي قدناه هذا بدأت أخد
+
+107
+00:09:39,590 --> 00:09:44,510
+هنا الرسم تبعي و أشوف شو المنحنة اللي صار عندى
+
+108
+00:09:44,510 --> 00:09:50,190
+يبقى هذا محور X هذا محور Y و هذه نقطة الأصل اللي
+
+109
+00:09:50,190 --> 00:09:55,410
+هو Zero النقطة الأولى 1 و Zero X و Y تساوي 1 و
+
+110
+00:09:55,410 --> 00:10:00,070
+Zero 1 و Zero اللي هي النقطة اللي عندنا هذه 1 و
+
+111
+00:10:00,070 --> 00:10:05,740
+Zeroالنقطة التانية 01 01 اللي هي النقطة هذه اللي
+
+112
+00:10:05,740 --> 00:10:12,460
+فوق يبقى هذه 01 إذا المنحنة من تحت أجه طالع لوين؟
+
+113
+00:10:12,460 --> 00:10:17,180
+لفوق بالشكل اللي عندنا هذا يبقى اتجاه وين؟ إلى
+
+114
+00:10:17,180 --> 00:10:22,560
+أعلىوصلنا للنقطة هذه بعد النقطة هذه بتروح للنقطة
+
+115
+00:10:22,560 --> 00:10:26,480
+سالب واحد وزيرو سالب واحد وزيرو اللي هي النقطة
+
+116
+00:10:26,480 --> 00:10:30,980
+اللي عندنا هذه هي سالب واحد وزيرو يبقى جان منحنى
+
+117
+00:10:30,980 --> 00:10:37,060
+او اجانزل زي هيك بهذا الشكل يبقى مصار الجثيم عبارة
+
+118
+00:10:37,060 --> 00:10:44,340
+عن ايش نصف دائرة او نصف الدائرة العلوي تمام فباجي
+
+119
+00:10:44,340 --> 00:10:47,580
+بقوله هنا the graph
+
+120
+00:10:50,140 --> 00:10:53,800
+is the upper half
+
+121
+00:10:56,400 --> 00:11:04,760
+النصف العلوي of the circle اللي هي من X تربيهة
+
+122
+00:11:04,760 --> 00:11:09,660
+زائد Y تربيهة تساوي واحد خلصوا المطلوب التاني لإنه
+
+123
+00:11:09,660 --> 00:11:13,380
+جال لجراف ال Cartesian equation on the given
+
+124
+00:11:13,380 --> 00:11:19,040
+interval ابنجي للمطلوب التالت جالي هافلة direction
+
+125
+00:11:19,040 --> 00:11:25,830
+of motion يبقى اتجاه الحركة وين؟عكس عقارب الساعة
+
+126
+00:11:25,830 --> 00:11:34,430
+يبقى باجي بقول the direction of
+
+127
+00:11:34,430 --> 00:11:50,490
+motion اتجاه الحركة is in the counter clockwise في
+
+128
+00:11:50,490 --> 00:11:53,110
+اتجاه ضب عقارب الساعة
+
+129
+00:11:57,940 --> 00:12:06,360
+المثال الثاني بيقول
+
+130
+00:12:06,360 --> 00:12:13,500
+X يساوي T وY تساوي الجذر التربية إلى واحد ناقص T
+
+131
+00:12:13,500 --> 00:12:19,440
+تربية وسلب واحد اقل من او يساوي T اقل من واحد
+
+132
+00:12:22,180 --> 00:12:26,340
+خلّعنا في المعادلة هذه والمعادلة هذه الشكل هم
+
+133
+00:12:26,340 --> 00:12:31,980
+بيقربوا لبعض شكلهم هيك طبعا لأ كل واحدة في شجة لكن
+
+134
+00:12:31,980 --> 00:12:35,740
+تعالى شوف نتعرف عليهم و نشوف هذه معادلة ايش بتقرب
+
+135
+00:12:35,740 --> 00:12:40,400
+للمعادلة اللي فوق ولا بعيدة كل البعد عنها بعدين
+
+136
+00:12:40,400 --> 00:12:41,540
+بيقولوا solution
+
+137
+00:13:03,320 --> 00:13:09,520
+ولكن يبقى الخطوة الأولى بدي أحذف T بين المعادلتين
+
+138
+00:13:09,520 --> 00:13:15,320
+بسيط X يساوي T بشيل T و بحط مكانها X يبقى صارة
+
+139
+00:13:15,320 --> 00:13:21,120
+المعادلة Y يساوي الجذر التربية إلى 1 ناقص X تربية
+
+140
+00:13:21,560 --> 00:13:27,700
+أو لو ربعنا الطرفين بيصير Y تربية سوى واحد ناقص X
+
+141
+00:13:27,700 --> 00:13:33,880
+تربية او X تربية زائد Y تربية دي سوى مين؟ اظن نفس
+
+142
+00:13:33,880 --> 00:13:39,420
+المعادلة اللي فوقيبقى نفس اللي فوق شكلا على
+
+143
+00:13:39,420 --> 00:13:42,860
+الطبيعة الله يعلم لسه مش عارفين يبقى هذا ال X
+
+144
+00:13:42,860 --> 00:13:56,280
+تربيع يبقى question of a circle with center at the
+
+145
+00:13:56,280 --> 00:14:01,560
+origin and radius
+
+146
+00:14:02,800 --> 00:14:07,600
+اللي هو one نصف القطر يساوي واحد صحيح الان انت هنا
+
+147
+00:14:07,600 --> 00:14:13,860
+من المطلوب الأول بدي اجي للمطلوب الثاني بدي ااخد
+
+148
+00:14:13,860 --> 00:14:24,340
+لو كانت ال T تساوي سالب واحد then ال X و Y بدها
+
+149
+00:14:24,340 --> 00:14:29,850
+تساوي طلعله هنا كويسأنا حاطي الـT بـ-1 يبقى صير
+
+150
+00:14:29,850 --> 00:14:35,710
+سالب واحد و هنا كداش؟ Zero يبقى سالب واحد و Zero
+
+151
+00:14:35,710 --> 00:14:45,550
+اللي بعدها لو كانت الـT مثلا تساوي Zero then XY
+
+152
+00:14:45,550 --> 00:14:56,110
+يساوي Zero و كداش؟ واحد هنا لو كانتالـ T تساوي
+
+153
+00:14:56,110 --> 00:15:06,470
+واحد ثم XY تساوي بالدرجة من XY T بواحد يبقى واحد و
+
+154
+00:15:06,470 --> 00:15:13,320
+Zero كذلكطيب تعالى نرسم هذا و نرسم الشكلة يبقى لو
+
+155
+00:15:13,320 --> 00:15:19,460
+جيت هنا و رسمت الرسمة تبعتنا هذا محور X هذا محور Y
+
+156
+00:15:19,460 --> 00:15:25,360
+وهذه نقطة الأصل النقطة الأولى هي الهيمين اللى سالب
+
+157
+00:15:25,360 --> 00:15:32,520
+واحد وزيرو سالب واحد وزيرو يبقى هاي سالب واحد
+
+158
+00:15:32,520 --> 00:15:41,980
+وزيروالنقطة التانية Zero واحد هي نقطة Zero واحد
+
+159
+00:15:41,980 --> 00:15:48,050
+يبقى المنحنة او ال particle طالع الى اعلىبعد ذلك
+
+160
+00:15:48,050 --> 00:15:52,050
+النقطة الأخيرة هي واحدة وزيرة واحدة وزيرة هي
+
+161
+00:15:52,050 --> 00:15:58,030
+النقطة هذه إذا الجثيم هيجي رايح على النقطة هذه إلى
+
+162
+00:15:58,030 --> 00:16:03,590
+أسفل يبقى الرسم عبارة عن مين؟ برضه نصف الدائرة
+
+163
+00:16:03,590 --> 00:16:13,050
+العلوي يبقى هنا باجي بقوله the graph is
+
+164
+00:16:13,050 --> 00:16:26,130
+the upperHalf النصف العلوي of the circle X تربية
+
+165
+00:16:26,130 --> 00:16:28,750
+زائد Y تربية تساوي واحد
+
+166
+00:16:32,250 --> 00:16:36,830
+الخلاف بس في ال direction of motion يبقى احنا لو
+
+167
+00:16:36,830 --> 00:16:41,130
+جمنا غيرنا ال T هذه او ال T اللي فوق ممكن نحصل على
+
+168
+00:16:41,130 --> 00:16:45,990
+مين؟ على نفس الرسمة و نفس الاتجاه ماعنا مشكلة في
+
+169
+00:16:45,990 --> 00:16:50,330
+هذه الحالة على اي حال ماعنا مشكلة يبقى الرسمة هي
+
+170
+00:16:50,330 --> 00:16:54,150
+نفس الرسمة الخلاف بس في مين؟ في الاتجاه وبالتالي
+
+171
+00:16:54,150 --> 00:17:00,350
+مثلنا معادلة الدائرة باكثر من parametric equations
+
+172
+00:17:00,680 --> 00:17:04,700
+وتسألنا في البداية هل هدول بيشبهوا بعض؟ قولنا
+
+173
+00:17:04,700 --> 00:17:08,480
+بيجربوش لبعض، خلاص شكلهم بيجربوش لبعض، لكن عند
+
+174
+00:17:08,480 --> 00:17:13,540
+الشغل أنا بطلع لنفس مين؟ نفس الجزء أو نفس النصف
+
+175
+00:17:13,540 --> 00:17:17,900
+العليه من الدارة، الخلاف ال orientation بس فقط، لا
+
+176
+00:17:17,900 --> 00:17:25,480
+غير النقطة الثالثة والاخيرة بدي الاتجاه،
+
+177
+00:17:25,480 --> 00:17:27,560
+ايوة يبقى the direction
+
+178
+00:17:47,780 --> 00:17:53,440
+سؤال التالت ال
+
+179
+00:17:53,440 --> 00:18:05,080
+Xتساوي تلاتة T وال Y تساوي تسعة T تربيع وال T هذه
+
+180
+00:18:05,080 --> 00:18:09,640
+محصورة ما بين infinity لغاية infinity
+
+181
+00:18:18,100 --> 00:18:24,060
+يبقى بناروح نجيب العلاقة ما بين ال X والY بقت نحذف
+
+182
+00:18:24,060 --> 00:18:30,680
+T ما بين الطرفين بنقوله بسيطة Y تساوي تسعة T تربيع
+
+183
+00:18:30,680 --> 00:18:39,840
+أو تلاتة T لكل تربيع تلاتة T مين هي؟ X يبقى هذا
+
+184
+00:18:39,840 --> 00:18:48,440
+معناه ان Y تساوي X تربيع ماعادتاش هذهأيوة white
+
+185
+00:18:48,440 --> 00:18:53,760
+convex تربيها parabola with vertex يبقى هذه
+
+186
+00:18:53,760 --> 00:19:09,880
+parabola with vertex at the origin and open up
+
+187
+00:19:09,880 --> 00:19:16,080
+ومفتوحة إلى أعلى مرة تانيةبقول why to sew extra
+
+188
+00:19:16,080 --> 00:19:19,920
+يعني القرابل و ال vertex at the origin يبقى
+
+189
+00:19:19,920 --> 00:19:23,180
+المنحنى عارفين و الرأس تبعه ان ده نقطة اللصوص اللي
+
+190
+00:19:23,180 --> 00:19:28,240
+مفتوح لوين الاعلى لأن الإشارة هذه إشارة لو كان
+
+191
+00:19:28,240 --> 00:19:32,200
+السنة اللي بصير مفتوح لوين الاسفل و ال vertex at
+
+192
+00:19:32,200 --> 00:19:37,740
+the origin هذا المطلوب الأول المطلوب الثاني يبقى
+
+193
+00:19:37,740 --> 00:19:42,100
+بدنا نيجي ناخد قيم مختلفة لتيم ماعنديش أول ال
+
+194
+00:19:42,100 --> 00:19:46,790
+interval و أخر ال intervalلذالك خد أي نقطة بدك
+
+195
+00:19:46,790 --> 00:19:50,750
+إياها خلال الـ real line كلها، لأن الـ T معرضة
+
+196
+00:19:50,750 --> 00:19:54,570
+وين؟ على كل الـ real line، بكفني تلت نقاط، بعرف
+
+197
+00:19:54,570 --> 00:19:59,390
+وين اتجاه وطالع، نازل، ماشي، الاخري، فمثلا، لو جيت
+
+198
+00:19:59,390 --> 00:20:04,470
+قلت لو كانت الـ T تساوي سالب واحد، على سبيل
+
+199
+00:20:04,470 --> 00:20:12,460
+المثال، thenالـ X والـ Y بتساوي الـ T بسالب واحد
+
+200
+00:20:12,460 --> 00:20:20,240
+يبقى سالب تلاتة والـ Y قداش تسعة اللي بعدها لو كان
+
+201
+00:20:20,240 --> 00:20:27,120
+الـ T تساوي Zero then X وY تساوي Zero Zero مظبوط؟
+
+202
+00:20:27,790 --> 00:20:34,990
+نمر تلاتة لو كانت ال T تساوي واحد مثلاً، then XY
+
+203
+00:20:34,990 --> 00:20:41,570
+يساوي، حط واحد بيصير تلاتة و كدهش؟ تلاتة وتسعة
+
+204
+00:20:41,570 --> 00:20:47,750
+كذلكبنروح نرسم الرسم هذه يبقى لو روحنا رسمنا الرسم
+
+205
+00:20:47,750 --> 00:20:53,750
+هذه بتاخد الشكل التالي هذا محور X محور Y هذه نقطة
+
+206
+00:20:53,750 --> 00:21:00,710
+الأصل النقطة الأولى سالب تلاتة و بدك تطلع فوق تسعة
+
+207
+00:21:00,710 --> 00:21:06,750
+يبقى النقطة هذه سالب تلاتة وتسعة النقطة الثانية
+
+208
+00:21:06,750 --> 00:21:13,010
+Zero و Zero يبقى المنحنة بيجيني نازل هيك إلى أسفل
+
+209
+00:21:13,550 --> 00:21:17,430
+النقطة اللي بعدها تلاتة وتسعة يبقى هذه السالب
+
+210
+00:21:17,430 --> 00:21:23,410
+تلاتة يبقى هنا تجيني تلاتة واطلع فوق هنا جبل هذه
+
+211
+00:21:23,410 --> 00:21:28,510
+تماما بجين تسعة يبقى النقطة هذه تلاتة وتسعة
+
+212
+00:21:28,510 --> 00:21:34,750
+وبالتالي المنحنة بده يطلع الى أسفل بهذا الشكل يبقى
+
+213
+00:21:34,750 --> 00:21:40,450
+رسمنا المنحنة يبقى باجي بقوله هنا the graph
+
+214
+00:21:43,440 --> 00:21:50,420
+is Parabola النقطة الأخيرة لأن النقطة التالتة بدنا
+
+215
+00:21:50,420 --> 00:22:02,520
+الاتجاه حركة الجسم يبقى the particle move
+
+216
+00:22:03,790 --> 00:22:07,210
+طبعاً مش عند النقطين هذوله بس شباب بظل هذا ماشي
+
+217
+00:22:07,210 --> 00:22:10,170
+إلى ما شاء الله و هذا ماشي إلى ما شاء الله بهذا
+
+218
+00:22:10,170 --> 00:22:18,650
+الشكل يبقى the particle move on the left على الشجة
+
+219
+00:22:18,650 --> 00:22:29,250
+الشمال from above to down يبقى من أعلى إلى أسفل
+
+220
+00:22:29,250 --> 00:22:30,530
+until
+
+221
+00:22:32,990 --> 00:22:43,350
+the original حتى نقطة الأصل and then و من ثم moves
+
+222
+00:22:43,350 --> 00:22:46,790
+from
+
+223
+00:22:46,790 --> 00:22:49,890
+down
+
+224
+00:22:49,890 --> 00:22:57,630
+to up on the right على الشجرة اليمين
+
+225
+00:23:40,830 --> 00:23:42,810
+سؤال الرابع
+
+226
+00:23:45,530 --> 00:23:56,710
+بقول X يساوي أربع صين T وY يساوي خمسة قصين T وT من
+
+227
+00:23:56,710 --> 00:24:08,750
+عند الصفر لغاية اثنين باي يلا
+
+228
+00:24:08,750 --> 00:24:14,450
+بدنا نحذف T بين المعادلتين حد يعرف يقولي كيف؟
+
+229
+00:24:18,690 --> 00:24:26,230
+هذه قصة بتطوّر بس فاكر كويس تقدر تخلّيه للشك
+
+230
+00:24:26,230 --> 00:24:32,990
+الليمين صين و كوسين فقط بدون أرقام و بالربع يبقى
+
+231
+00:24:32,990 --> 00:24:40,070
+هنا بقدر أقول النقطة I هذه بقدر نكتب X على أربعة
+
+232
+00:24:40,070 --> 00:24:48,890
+تساوي صين T وهذه Y على خمسة يساوي كوسين Tالان مربع
+
+233
+00:24:48,890 --> 00:24:55,810
+الطرفين يبقى x تربيع على 16 زائد y تربيع على 25
+
+234
+00:24:55,810 --> 00:25:03,410
+يساوي sin تربيه T زائد cos تربيه T او ان شئتهم
+
+235
+00:25:03,410 --> 00:25:10,670
+فاقولوا x تربيه على 16 زائد y تربيع على 25 يساوي 1
+
+236
+00:25:10,670 --> 00:25:15,790
+معدلات ايش هذا يا شباب؟ قطع ناقص، اللي هو هذا
+
+237
+00:25:15,790 --> 00:25:22,990
+القطع المكافئ الأولانييبقى هذه equation of an
+
+238
+00:25:22,990 --> 00:25:27,790
+ellipse طيب
+
+239
+00:25:27,790 --> 00:25:32,760
+هذا ال ellipse شكل بيضاويهو المحور الرئيسي ومحور
+
+240
+00:25:32,760 --> 00:25:37,620
+ثانوي كم هو المحور الرئيسي او من المحور الرئيسي
+
+241
+00:25:37,620 --> 00:25:43,380
+لهذا الالب؟ why ليش؟ لأن المقام أكبر يبقى في حالة
+
+242
+00:25:43,380 --> 00:25:47,400
+الالب بنقدر نجيب ال major axis اللي هو المحور
+
+243
+00:25:47,400 --> 00:25:52,100
+الرئيسي من خلال الرقم اللي موجود في المقام صاحب
+
+244
+00:25:52,100 --> 00:25:56,540
+المقام الرفيع بيكون هو ال major axis يعني ليش
+
+245
+00:25:56,540 --> 00:26:01,580
+الرفيع؟ يعني أكبر قيمةيبقى equation of an ellipse
+
+246
+00:26:01,580 --> 00:26:13,920
+with major axis محوى الرئيسي along the y-axis هذا
+
+247
+00:26:13,920 --> 00:26:18,780
+بنفعنا كيف؟ بنفعنا عند الرسم، نعرف كيف نرسم نقطة
+
+248
+00:26:18,780 --> 00:26:24,890
+ثانية بنانيجي ناخد القيم المختلفة لـT، يبقى FT
+
+249
+00:26:24,890 --> 00:26:33,710
+تساوي Zero ثم X Y تساوي Zero Sin Zero بقداش؟ ب
+
+250
+00:26:33,710 --> 00:26:42,310
+Zero Cos Zero خمسة ثم لو كانت T تساوي Pi على اتنين
+
+251
+00:26:42,310 --> 00:26:50,530
+مثلا ثم X Y يساوي بدنا نشيل T ونحط مكانها Pi على
+
+252
+00:26:50,530 --> 00:26:55,710
+اتنين يبقى بصير هذا كداش؟اربع و هنا باي على اتنين
+
+253
+00:26:55,710 --> 00:27:02,450
+كده؟ Zero اللي بعدها لو كانت ال T تساوي باي على
+
+254
+00:27:02,450 --> 00:27:07,230
+سبيل المثال يبقى ال X و ال Y تساوي
+
+255
+00:27:13,780 --> 00:27:19,140
+بسالب واحد يبقى سالب خمسة اللي بعدها لو كان ال T
+
+256
+00:27:19,140 --> 00:27:24,900
+تساوي تلاتة باي على اتنين متين وسبعين درجة يبقى
+
+257
+00:27:24,900 --> 00:27:32,180
+then ال X وال Y يساوي صين المتين وسبعين سالب واحد
+
+258
+00:27:32,180 --> 00:27:37,940
+في اربعة بسالب اربعة قصين المتين وسبعين ب zero
+
+259
+00:27:37,940 --> 00:27:44,250
+اللي بعدها لو كانت ال T تساوي اتنين بايبعد ذلك XY
+
+260
+00:27:44,250 --> 00:27:50,570
+تساوي نجل
+
+261
+00:27:50,570 --> 00:27:54,810
+اتنين و اتنين باي زي ال zero ان هنا دورة كاملة
+
+262
+00:27:54,810 --> 00:28:02,970
+يبقى بصير قداش zero و خمسة يبقى ال graph عبارة عن
+
+263
+00:28:02,970 --> 00:28:07,030
+ellipse ذكرنا و ال major axis along the Y axis
+
+264
+00:28:07,030 --> 00:28:14,030
+بدنا نرسم يبقى هذه الرسمة اللي عندناهذا محور X
+
+265
+00:28:14,030 --> 00:28:21,490
+وهذا محور Y وهذا نقطة الأصل Zero النقطة الأولى
+
+266
+00:28:21,490 --> 00:28:28,430
+Zero خمسة يبقى هذه Zero خمسة النقطة الثانية أربعة
+
+267
+00:28:28,430 --> 00:28:32,590
+و Zero أربعة و Zero اللي هي النقطة اللي عندنا هذه
+
+268
+00:28:32,590 --> 00:28:39,190
+أربعة و Zero يبقى من فوق نزلنا بهذا الشكل إلى أسفل
+
+269
+00:28:39,980 --> 00:28:43,940
+النقطة المبعوثة هي الـ zero والسالب خمسة Zero
+
+270
+00:28:43,940 --> 00:28:48,580
+والسالب خمسة تأتي من أين؟ هنا تحت يبقى هذا zero
+
+271
+00:28:48,580 --> 00:28:55,020
+وسالب خمسة يبقى المنحنقة وصل لهنا الشكل اللي عندنا
+
+272
+00:28:55,020 --> 00:29:00,030
+هذااللي بعض النقطة سالب اربعة وزيرو سالب اربعة
+
+273
+00:29:00,030 --> 00:29:05,130
+وزيرو اللي هي النقطة هذه سالب اربعة وزيرو يبقى
+
+274
+00:29:05,130 --> 00:29:09,690
+المنحنة طلع الى اعلى بالشكل هذا النقطة الأخيرة
+
+275
+00:29:09,690 --> 00:29:14,470
+زيرو خمس اليمين النقطة اللى فوق بالشكل اللى عندنا
+
+276
+00:29:14,470 --> 00:29:19,670
+هذا يبقى راسم المنحنة ماضلش عند اللي هي الاتجاه شو
+
+277
+00:29:19,670 --> 00:29:26,400
+رأيك في الاتجاه؟اه في اتجاه اقارب الساعة يبقى باجي
+
+278
+00:29:26,400 --> 00:29:35,040
+بقوله هنا النقطة التالتة والاخيرة the direction of
+
+279
+00:29:35,040 --> 00:29:43,240
+motion اتجاه الحركة in the clockwise
+
+280
+00:29:48,980 --> 00:30:13,100
+يبقى في اتجاه عقارب الساعة مثال
+
+281
+00:30:13,100 --> 00:30:13,780
+الخامس
+
+282
+00:30:38,650 --> 00:30:42,410
+خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة
+
+283
+00:30:54,810 --> 00:30:59,490
+بدا اجيب النقطة الأولى بدي اضايقها تيما بين ال X
+
+284
+00:30:59,490 --> 00:31:08,110
+والY بقى انا بدي علاقة بتربط السك مع التان تان
+
+285
+00:31:08,110 --> 00:31:14,560
+تربيه زاد واحد يساوي السك تربيهسك تربيع ناقص تان
+
+286
+00:31:14,560 --> 00:31:19,580
+تربيع يساوي واحد وبالتالي يتخلص من الشغل هذه يبقى
+
+287
+00:31:19,580 --> 00:31:23,540
+انا عند السك تربيع ناقص تان تربيع ان انتوا بده
+
+288
+00:31:23,540 --> 00:31:30,160
+اربع الطرفين يبقى لو اخدت X تربيع ناقص Y تربيع
+
+289
+00:31:30,160 --> 00:31:38,520
+هتساوي سك تربيتي ناقص تان تربيتيهذا معناه ان X
+
+290
+00:31:38,520 --> 00:31:44,500
+تربية ناقص Y تربية تساوي كم؟ تساوي واحد، معادلة
+
+291
+00:31:44,500 --> 00:31:49,440
+ايش هذه؟ قطع
+
+292
+00:31:49,440 --> 00:31:58,880
+زائد Hyperabula يبقى هذه equation of Hyperabula
+
+293
+00:31:59,920 --> 00:32:07,200
+يبقى قطع زائد هذه معادلة اللي هو قطع زائد القطع
+
+294
+00:32:07,200 --> 00:32:10,900
+الزائد اللي هو محور الرئيسي ومحور ثانوي المحور
+
+295
+00:32:10,900 --> 00:32:18,680
+الرئيسي هل هو في اتجاه ال X ولا Y؟ ويبقى
+
+296
+00:32:18,680 --> 00:32:27,540
+هذا with center at the origin and
+
+297
+00:32:29,030 --> 00:32:35,530
+focal axis أو major axis محور
+
+298
+00:32:35,530 --> 00:32:39,890
+بُقري along مين؟
+
+299
+00:32:40,940 --> 00:32:47,000
+الـ X-Axis يعني بندور على صاحب الإشارة الموجبة
+
+300
+00:32:47,000 --> 00:32:51,780
+وبهمنيش إيش يكون المقام، هدول مقامين زي بعض ممكن
+
+301
+00:32:51,780 --> 00:32:56,160
+مايكونوش زي بعض، كله بهمنيش، بهمني صاحب الإشارة
+
+302
+00:32:56,160 --> 00:33:02,060
+الموجبة طيب تمام، بدنا نيجي للنقطة الأولىبداجة
+
+303
+00:33:02,060 --> 00:33:07,180
+النقطة الثانية يبقى بداجة أقوله لو كانت ال T تساوي
+
+304
+00:33:07,180 --> 00:33:14,320
+بقدر أحط by على 2؟ لأ لأنه لا السك وولا حتى ال
+
+305
+00:33:14,320 --> 00:33:18,040
+turn معرف عند ال by على 2 يا أخي ليش ال by؟ خش
+
+306
+00:33:18,040 --> 00:33:23,200
+لجوا في الفترة شويةسالب اعطني سالب تسعين، قول سالب
+
+307
+00:33:23,200 --> 00:33:26,880
+تمانين، سالب سبعين، بس هم اللي بدهم ايش؟
+
+308
+00:33:26,880 --> 00:33:30,780
+Calculator، احنا بناخد زوايا ليس بالضروري يكون
+
+309
+00:33:30,780 --> 00:33:36,300
+عندي Calculator، يبقى لو أخدت سالب باي على أربع،
+
+310
+00:33:36,300 --> 00:33:47,320
+يبقى then XY تساوي، حطلي سالب باي على أربع، اليبقى
+
+311
+00:33:47,320 --> 00:33:52,200
+six سالب باية على أربعة هو six باية على أربعة يبقى
+
+312
+00:33:52,200 --> 00:33:59,040
+جذر اتنين يبقى سالب جذر اتنين يظل الخمسة واربعين
+
+313
+00:33:59,040 --> 00:34:06,940
+بواحد بس الاتن هذا اد يبقى بصير سالب واحد بعد ذلك
+
+314
+00:34:06,940 --> 00:34:14,140
+لو كانت ال T تساوي zero then ال XY تساوي
+
+315
+00:34:18,240 --> 00:34:23,420
+يبقى ال X و Y تساوي سكة ال zero اللي هو بواحد يبقى
+
+316
+00:34:23,420 --> 00:34:28,540
+سالق واحد و تاني ال zero اللي هو بزيرو اللي بعدها
+
+317
+00:34:28,540 --> 00:34:36,500
+لو كانت ال T تساوي باي على أربعة then X و Y تساوي
+
+318
+00:34:36,990 --> 00:34:42,810
+هذه السالب والسكة الأربعة اللي همين بجدر اتنين
+
+319
+00:34:42,810 --> 00:34:48,770
+وهنا ضل الخمسة واربعين اللي هم جداش بواحد بهذا
+
+320
+00:34:48,770 --> 00:34:54,990
+الشكل اروح نرسم الرسم اللي عندنايبقى هي الرسمة هي
+
+321
+00:34:54,990 --> 00:35:02,670
+المحاول هذا X وهذا Y وهذا نقطة الأصل النقطة الأولى
+
+322
+00:35:02,670 --> 00:35:06,110
+سالب جذر اتنين يعني سالب واحد وأربعة من عشرة
+
+323
+00:35:06,110 --> 00:35:10,870
+تقريبا سالب واحد وأربعة من عشرة أو سالب واحد يبقى
+
+324
+00:35:10,870 --> 00:35:15,770
+هذا سالب واحد وأربعة من عشرة وبدنا ننزل هنا سالب
+
+325
+00:35:15,770 --> 00:35:23,700
+واحد يبقى هذا سالب واحد أو سالب جذر اتنينو سالب
+
+326
+00:35:23,700 --> 00:35:29,600
+واحد، تمام؟ النقطة اللي بعدها سالب واحد و Zero هذا
+
+327
+00:35:29,600 --> 00:35:38,520
+سالب واحد جذر اتنين وهنا هتجيلك سالب واحد، كويس؟
+
+328
+00:35:38,520 --> 00:35:44,980
+يبقى المنحنة هيجيني من أسفل إلى أعلى بهذا الشكل
+
+329
+00:35:45,890 --> 00:35:52,610
+كويس يبقى طالع إلى أعلى بعد هيك من سالب جذر اتنين
+
+330
+00:35:52,610 --> 00:35:57,410
+و واحد سالب جذر اتنين و بدنا نطلع هنا قداش مقدار
+
+331
+00:35:57,410 --> 00:36:03,570
+واحد يبقى سالب جذر اتنين و واحد يبقى المنحنى بد
+
+332
+00:36:03,570 --> 00:36:10,220
+يجينا بمين بالشكل اللي عندنا هذايبقى واضح إنه ما
+
+333
+00:36:10,220 --> 00:36:14,920
+جاب ليش الـ hyperbola كلها وإنما جاب من النص إذا
+
+334
+00:36:14,920 --> 00:36:20,140
+بقيتها بتكون على الناحية التانية هي بدرسمها لك
+
+335
+00:36:20,140 --> 00:36:25,700
+نقطة عشان تعرف إن هذا hyperbola لكن ماظهرتش النص
+
+336
+00:36:25,700 --> 00:36:29,020
+في اللي عندنا هذا ظهر من النص في اللي عندنا هذا
+
+337
+00:36:29,020 --> 00:36:41,890
+يبقى ماجي بقوله the graph is the lefthand branch
+
+338
+00:36:41,890 --> 00:36:50,890
+يعني القوس او الجزء اللى على الشمال of the
+
+339
+00:36:50,890 --> 00:36:59,330
+hyperabula اللى هو من X تربية ناقص Y تربية تساوي
+
+340
+00:36:59,330 --> 00:37:05,450
+كده تساوي واحد ندى الان للاتجاه طبعا و هذا الى
+
+341
+00:37:05,450 --> 00:37:15,020
+اعلى كمانالنقطة الأخيرة اللي هو the direction of
+
+342
+00:37:15,020 --> 00:37:20,920
+motion from
+
+343
+00:37:20,920 --> 00:37:24,340
+down
+
+344
+00:37:24,340 --> 00:37:31,220
+to up يبقى من أسفل إلى أعلى
+
+345
+00:37:38,430 --> 00:37:38,730
+remark
+
+346
+00:38:14,100 --> 00:38:26,660
+المعادلات البرامترية of a line passes through
+
+347
+00:38:26,660 --> 00:38:29,980
+the
+
+348
+00:38:29,980 --> 00:38:39,800
+pointsالذي يمر بالنقطتين X node و Y node and X
+
+349
+00:38:39,800 --> 00:38:50,120
+واحد و Y واحد and X واحد و Y واحد are ال
+
+350
+00:38:50,120 --> 00:38:57,460
+X بده يسوي ال X node زاد X واحد ناقص X node في T و
+
+351
+00:38:57,460 --> 00:39:04,380
+ال Y بده يسوي Y nodeزائد y واحد ناقص y node في T
+
+352
+00:39:04,380 --> 00:39:14,160
+وT محصورة من سالب infinity إلى infinity example
+
+353
+00:39:14,160 --> 00:39:18,460
+find
+
+354
+00:39:18,460 --> 00:39:20,200
+the parameterizations
+
+355
+00:39:29,600 --> 00:39:40,480
+for the line segment for the line segment للقطع
+
+356
+00:39:40,480 --> 00:39:50,300
+المستقيمة with end points النقاط تبعتها الطرفين
+
+357
+00:39:50,300 --> 00:39:59,360
+تبعتها هو السالب واحد وثلاثة and ثلاثة وسالب اتنين
+
+358
+00:40:03,250 --> 00:40:03,990
+Solution
+
+359
+00:40:09,110 --> 00:40:13,890
+أحنا بنقدر نجيب معادلة الخط المستقيم بدلالة أي
+
+360
+00:40:13,890 --> 00:40:18,670
+نقطة موجودة عليه تمام؟ أي نقطتين موجودتين على الخط
+
+361
+00:40:18,670 --> 00:40:22,410
+المستقيم بواسطتهم بقدر اجيب معادلة الخط المستقيم
+
+362
+00:40:22,410 --> 00:40:26,990
+احنا هنجيب المعادلة هذه او المعادلة ال parameterية
+
+363
+00:40:26,990 --> 00:40:31,070
+بواسطة النقطتين لو كان عنده نقطتين على الخط
+
+364
+00:40:31,070 --> 00:40:35,250
+المستقيم x0 و y0 و x1 و y1 يبقى الصيغة ال
+
+365
+00:40:35,250 --> 00:40:37,970
+parameterية لمعادلتي الخط المستقيم
+
+366
+00:40:42,900 --> 00:40:47,800
+طبعاً T من سلب infinity إلى infinity هذا للمستقيم
+
+367
+00:40:47,800 --> 00:40:53,300
+أو للشعاع اللي ببدأ من zero و يبقى ل infinityلكن
+
+368
+00:40:53,300 --> 00:40:58,160
+لو خدت قطعة مستقيمة اذا انا حددتها بمين؟ بنقطة
+
+369
+00:40:58,160 --> 00:41:02,140
+الخط الواصل بين النقطتين فبقول هاتل ال
+
+370
+00:41:02,140 --> 00:41:07,200
+parameterization للقطع المستقيمة المنتهية
+
+371
+00:41:07,200 --> 00:41:13,100
+بالنقطتين الاتنين هذول بقوله بسيطة جدا يبقى هذا ال
+
+372
+00:41:13,100 --> 00:41:19,860
+X بده يساوي هذه بده اخدها هي X node وهذه Y nodeقبل
+
+373
+00:41:19,860 --> 00:41:23,920
+هذه x واحد و y و هذه نقطة البداية وهذه نقطة
+
+374
+00:41:23,920 --> 00:41:28,680
+النهاية للقطع المستقيمة يبقى x نقطة انت بقدراش
+
+375
+00:41:28,680 --> 00:41:37,920
+سالب واحد زائد ها ال x لتلاتة ناقص ناقص واحد كله
+
+376
+00:41:37,920 --> 00:41:44,500
+في T يبقى هذا بدي اعطيك ان x يساوي سالب واحد زائد
+
+377
+00:41:44,500 --> 00:41:50,950
+اربعة Tالمعادلة التانية y تساوي y not اللي هي قداش
+
+378
+00:41:50,950 --> 00:41:59,130
+تلاتة زائد ناقص اتنين اللي هو y واحد ناقص تلاتة
+
+379
+00:41:59,130 --> 00:42:07,510
+كله في T هذا بدي اعطيلك ان y ساوي تلاتة ناقص خمسة
+
+380
+00:42:07,510 --> 00:42:12,930
+T ضلت ان هنا T أبصر من وين لوين تعالوا نشوف T من
+
+381
+00:42:12,930 --> 00:42:19,270
+وين لوينمش محددالي لكن انا كيف بدي اجيب النقطة هذه
+
+382
+00:42:19,270 --> 00:42:25,210
+من خلال المعادلات البرامترية؟ لو حطتي قداش هنا
+
+383
+00:42:25,210 --> 00:42:34,680
+بحصل على النقطة الأولى صفر يبقى لو كانتالـ T تساوي
+
+384
+00:42:34,680 --> 00:42:42,780
+Zero ثم X و Y سيعطينا سالب واحد و تلاتة صفر بطير و
+
+385
+00:42:42,780 --> 00:42:47,880
+بظل سالب واحد و تلاتة اليمين النقطة الأولى هنا لو
+
+386
+00:42:47,880 --> 00:42:55,400
+كان الـ T أبصر قداش ثم X و Y سيعطينا النقطة
+
+387
+00:42:55,400 --> 00:43:02,860
+التانية اليمين تلاتة و سالب اتنينأيوة حطلي T بواحد
+
+388
+00:43:02,860 --> 00:43:07,360
+بيصير هنا أربعة و سالب واحد بيظل قداش تلاتة أيها
+
+389
+00:43:07,360 --> 00:43:12,560
+حطلي T بواحد بيظل تلاتة ناقص اتنين اللي هو ناقص
+
+390
+00:43:12,560 --> 00:43:19,860
+اتنين يبقى T تساوي واحد إذا T هذه بدأ تبقى أكبر من
+
+391
+00:43:19,860 --> 00:43:23,760
+أو تساوي Zero وأقل من أو تساوي واحد السؤال اللي
+
+392
+00:43:23,760 --> 00:43:28,200
+بدي أسأله لو عملت المعادلتين وما كتبتش هذا الشرط
+
+393
+00:43:28,200 --> 00:43:32,970
+حليت حلا كاملا؟لو كان السؤال عليه خمس علامات بقسمك
+
+394
+00:43:32,970 --> 00:43:38,130
+علي هذه علامتين اه در بالك لإن هذه جزء من الحلو
+
+395
+00:43:38,130 --> 00:43:42,810
+جزء من الحلو لإن قطعة مستقيمة محصورة ما بين نقطتين
+
+396
+00:43:42,810 --> 00:43:48,790
+هي النقطتين وهي المحاور هذا X وهذا Y النقطة الأولى
+
+397
+00:43:48,790 --> 00:43:54,930
+سالب واحد وتلاتة سالب واحد وتلاتة والنقطة التانية
+
+398
+00:43:54,930 --> 00:44:02,000
+تلاتة وسالب اتنين تلاتة وسالب اتنينيبقى النقطة
+
+399
+00:44:02,000 --> 00:44:08,420
+هادي، ها يبقى لو جيت ووصلت بينهم هكذا الخط أو
+
+400
+00:44:08,420 --> 00:44:12,660
+القطعة المستقيمة، لحد اين انتهى الsection
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/YEsPw6K7LKY.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/YEsPw6K7LKY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..62814999620b8c93ac97fbcf9519158a72334eb3
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/YEsPw6K7LKY.srt
@@ -0,0 +1,1943 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:10,750 --> 00:00:14,550
+بسم الله الرحمن الرحيم، المرة اللي فاتت ابتدأنا في 
+
+3
+00:00:14,550 --> 00:00:19,710
+الـ integral table وقلنا أن هذا النوع من المسائل مش 
+
+4
+00:00:19,710 --> 00:00:24,210
+هنبحث على جلد الكتاب، التكاملات اللي جابها الكتاب 
+
+5
+00:00:24,210 --> 00:00:29,710
+وإنما هنستنتجها لوحدنا وبدأنا في الأمثلة وحلينا 
+
+6
+00:00:29,710 --> 00:00:35,310
+سبعة أمثلة، وهذا هو المثال رقم ثمانية. لو نظرت لهذا 
+
+7
+00:00:35,310 --> 00:00:39,390
+المثال، المصعب الشكل تبعه اللي هو main اللي هو لن 
+
+8
+00:00:39,390 --> 00:00:44,330
+الـ X، إذا بنشيل لن الـ X وبنحطها بأي variable جديد 
+
+9
+00:00:44,330 --> 00:00:51,130
+يبقى لو جيت هنا وقلت حط لي مثلاً T تساوي لن الـ X 
+
+10
+00:00:51,130 --> 00:00:58,830
+يبقى DT بواحد على X، دي يبقى بدنا نشيل 1 على x dx 
+
+11
+00:00:58,830 --> 00:01:03,990
+هذي ونحط بدالها dt، يبقى integration اللي dt على 
+
+12
+00:01:03,990 --> 00:01:09,270
+الجذر التربيعي اللي تلاتة زائد t تربيع، هذا التكامل 
+
+13
+00:01:09,270 --> 00:01:14,070
+standard شفناه قبل هيك مش جديد علينا، يبقى هذا main 
+
+14
+00:01:14,070 --> 00:01:22,130
+sin inverse لـ t على جذر التلاتة زائد constant c
+
+15
+00:01:24,100 --> 00:01:28,220
+بداية المثال بدالة X وانتهت بـ T، إذا بدنا نرجعها 
+
+16
+00:01:28,220 --> 00:01:35,780
+بدلالة X، يبقى هذا sin inverse T اللي عبارة عن لن X 
+
+17
+00:01:35,780 --> 00:01:40,940
+على جذر تلاتة زائد constant C
+
+18
+00:01:44,570 --> 00:01:48,150
+هذه النقطة الأولى من هذا الـ section، من النقطة 
+
+19
+00:01:48,150 --> 00:01:53,970
+الثانية بنجي لقواعد الاختزال، يبقى بنجي لحاجة اسمها 
+
+20
+00:01:53,970 --> 00:02:00,630
+some reduction formulas
+
+21
+00:02:00,630 --> 00:02:04,350
+بعض 
+
+22
+00:02:04,350 --> 00:02:16,400
+قواعد الاختزال، بيقول لو كانت الـ N، لو كانت الـ n is 
+
+23
+00:02:16,400 --> 00:02:28,320
+a positive integer، positive integer، then نمرة واحد 
+
+24
+00:02:28,320 --> 00:02:36,240
+integration لـ sin to the power n x dx يساوي سالب 
+
+25
+00:02:36,240 --> 00:02:42,440
+واحد على N، Sine to the power N minus الـ one X فيه 
+
+26
+00:02:42,440 --> 00:02:51,020
+Cos X زائد N minus الـ one على N تكامل Sine to the 
+
+27
+00:02:51,020 --> 00:02:54,200
+power N minus اثنين X DX
+
+28
+00:02:57,790 --> 00:03:04,910
+تكامل لـ cosine to the power n x dx يساوي واحد على m 
+
+29
+00:03:04,910 --> 00:03:13,530
+لـ cosine أس n ناقص واحد x sin x زائد n ناقص واحد 
+
+30
+00:03:13,530 --> 00:03:21,770
+على m تكامل لـ cosine أس n ناقص اثنين x dx، النقطة 
+
+31
+00:03:21,770 --> 00:03:22,570
+الثالثة 
+
+32
+00:03:25,010 --> 00:03:35,970
+لتكامل tan أس n x dx يساوي الـ tan واحد على 
+
+33
+00:03:35,970 --> 00:03:44,210
+n ناقص واحد tan أس n ناقص واحد x ناقص تكامل 
+
+34
+00:03:44,210 --> 00:03:52,330
+لتان أس n ناقص اثنين x dx، النقطة الرابعة 
+
+35
+00:03:52,330 --> 00:03:59,530
+والأخيرة integration لـ sin to the power n x cosine 
+
+36
+00:03:59,530 --> 00:04:07,850
+to the power m x في dx بده يساوي سالب sin cos n 
+
+37
+00:04:07,850 --> 00:04:17,710
+ناقص واحد x cosine m زائد واحد x على مين؟ على n زائد 
+
+38
+00:04:17,710 --> 00:04:25,820
+الـ m زائد n ناقص واحد على n زائد الـ m integration 
+
+39
+00:04:25,820 --> 00:04:35,500
+لـ sin أس n ناقص اثنين x cosine أس m x dx
+
+40
+00:04:35,500 --> 00:04:44,760
+وبشرط أن n لا تساوي سالب m، example
+
+41
+00:04:49,620 --> 00:04:57,280
+يحسب لي the following integrals
+
+42
+00:04:57,280 --> 00:05:02,060
+تكاملات 
+
+43
+00:05:02,060 --> 00:05:09,700
+التالية، تكامل الأول integration لـ 10 أس 6x dx
+
+44
+00:05:58,180 --> 00:06:05,180
+أخذنا إحدى قواعد الاختزال وهي تكامل لمن؟ لن الـ X
+
+45
+00:06:05,180 --> 00:06:11,200
+to the power N DX، وطلعت يومها X لن X to the power
+
+46
+00:06:11,200 --> 00:06:17,960
+N ناقص تكامل لن X أس n ناقص واحد DX، اليوم إن شاء 
+
+47
+00:06:17,960 --> 00:06:22,060
+الله بنكمل بعض القواعد، اللي طبعاً في غيرهم لكن هم 
+
+48
+00:06:22,060 --> 00:06:28,220
+هدول الأساسيات، بدنا تكامل لـ sign to the power in x 
+
+49
+00:06:28,220 --> 00:06:33,420
+dx تكامل لـ cosine to the power in x dx، tan to the 
+
+50
+00:06:33,420 --> 00:06:39,550
+power in x dx أو لحاصل الضرب زي ما أنت شايف، طبعاً 
+
+51
+00:06:39,550 --> 00:06:44,690
+الزوايا كلها نفس الزاوية لكن باختلاف في مين؟ في 
+
+52
+00:06:44,690 --> 00:06:49,690
+الدوال المثلثية، طبعاً إن هذه مش حيال الله وإنما عدد 
+
+53
+00:06:49,690 --> 00:06:54,630
+صحيح موجب لإنه عنده رقم معين يبدأ وتنتهي التكاملات 
+
+54
+00:06:54,630 --> 00:06:58,910
+لكن لو كان السالب والله كاسر، لا يمكن نخلص من 
+
+55
+00:06:58,910 --> 00:07:04,610
+هالشغلة هذه، تمام؟ السؤال يبقى نطرحه، كيف جبنا مين 
+
+56
+00:07:04,610 --> 00:07:09,410
+التكاملات اللي عندنا هذه؟ أبداً كله باستخدام التكامل 
+
+57
+00:07:09,410 --> 00:07:14,770
+بالتجزئة، يبقى أول section درسناه اللي هو 
+
+58
+00:07:14,770 --> 00:07:20,750
+integration by parts، يبقى مثلاً هذه بعملها sign أس 
+
+59
+00:07:20,750 --> 00:07:25,950
+N ناقص واحد فيه sign وهكذا شيء، باخد U والتاني DV 
+
+60
+00:07:25,950 --> 00:07:30,790
+بعد ما طبق اللي هو مرة واحدة قانون integration by 
+
+61
+00:07:30,790 --> 00:07:34,860
+parts، بحصل على الشكل هذا، وبالمثل بالنسبة لمن؟ 
+
+62
+00:07:34,860 --> 00:07:41,040
+للبقية، على أي حال أنا ما بدي إياك تحفظ أي واحدة من هدول 
+
+63
+00:07:41,040 --> 00:07:45,960
+الأربعة نهائي، لكن بديك لو جاب لك سؤال كيف تعرف 
+
+64
+00:07:45,960 --> 00:07:50,940
+تستخدم هذه القواعد في حل السؤال اللي قدامك سواء 
+
+65
+00:07:50,940 --> 00:07:54,960
+جاب لك في الرياضيات جاب لك في الفيزياء جاب لك في أي 
+
+66
+00:07:54,960 --> 00:08:01,520
+علم متعلق بمين؟ بالتكامل، فمثلاً لو جاءت سيبنا هذول 
+
+67
+00:08:01,520 --> 00:08:05,560
+التلاتة مباشرات sin وsin cos and tan وsin، لو نظرت 
+
+68
+00:08:05,560 --> 00:08:10,460
+لهذه بنسأل السؤال التالي، هل هذه درسناها في section 
+
+69
+00:08:10,460 --> 00:08:15,870
+8-2؟ طبعاً، قلنا لو كانت الأساس اثنين فرديات، واحد 
+
+70
+00:08:15,870 --> 00:08:18,950
+فردي والثاني زوجي أو اثنين زوجيته، وحللنا المسائل 
+
+71
+00:08:18,950 --> 00:08:22,890
+في الحالات التلاتة دول، مظبوط؟ إذا هذا بيقول لك لأ 
+
+72
+00:08:22,890 --> 00:08:29,930
+ممكن بقواعد الاختزال كمان تنحل، من انحل المثال هذه 
+
+73
+00:08:30,620 --> 00:08:35,140
+لما أقول قواعد الاختزال المقصود فيه يعني لما أكمل 
+
+74
+00:08:35,140 --> 00:08:41,040
+مرة الأس هنا قديش؟ هنا نزلت الأس قديش؟ أجال منه 
+
+75
+00:08:41,040 --> 00:08:46,200
+بمقدار قديش؟ اثنين، يعني لو كانت هذه الـ sign أس خمسة 
+
+76
+00:08:46,450 --> 00:08:51,490
+بصير هذه الـ sin تكيب وكمان مرة بصير sin، وبتالي 
+
+77
+00:08:51,490 --> 00:08:55,450
+خلصت مسألة دي، يبقى أنا بنزل الأس تبع النسبة 
+
+78
+00:08:55,450 --> 00:09:00,090
+المثلثية إلى أس أصغر منه، هذه العملية بسميها عملية 
+
+79
+00:09:00,090 --> 00:09:05,410
+ميم، عملية اختزال، طب الآن بنشوف كيف بنطبق هذه 
+
+80
+00:09:05,410 --> 00:09:11,750
+القواعد، بقول تكامل 10 أس 6 dx بروح بطل على القاعدة 
+
+81
+00:09:11,750 --> 00:09:13,990
+الرقم 3 اللي عندنا
+
+82
+00:09:19,630 --> 00:09:39,620
+5-5-2-4 يبقى هذه بدها تساوي 5-2-5x-2-4x dx، الآن هذا 
+
+83
+00:09:39,620 --> 00:09:46,440
+الكلام بده يساوي خمس tan أس خمسة x ناقص بتطبق 
+
+84
+00:09:46,440 --> 00:09:51,060
+عليها القاعدة اللي اختزال كمان مرة، يبقى واحد على 
+
+85
+00:09:51,060 --> 00:09:52,880
+n ناقص واحد، يعني قديش؟
+
+86
+00:09:58,010 --> 00:10:09,530
+تلاتة، يبقى ثلث tan تكيب x ناقص تكامل tan أس 
+
+87
+00:10:09,530 --> 00:10:16,130
+ناقص اثنين، بدنا نقص من الأربعة اثنين، x DX بالشكل 
+
+88
+00:10:16,130 --> 00:10:24,700
+اللي عندنا، يبقى صارت المسألة خمس tan أس خمسة X ناقص 
+
+89
+00:10:24,700 --> 00:10:31,720
+ثلث tan تكيب الـ X ناقص في ناقص بزائد، وصلنا للتكامل 
+
+90
+00:10:31,720 --> 00:10:36,240
+الأخير، قدامي طريقين، الطريق الأول ممكن أشيل الـ 10 
+
+91
+00:10:36,240 --> 00:10:41,360
+تربيع وأحط بدل 6 تربيع ناقص 1 وأكمل، واحد ثاني 
+
+92
+00:10:41,360 --> 00:10:44,020
+قال لي لأ لأ ماشي احنا بنشغل بقواعد اختزال، بقوله 
+
+93
+00:10:44,020 --> 00:10:47,640
+نعم، قال لي خليني على قواعد اختزال، بقوله ماشي 
+
+94
+00:10:47,640 --> 00:10:53,920
+موافقين، يبقى هذا النتيجة، شو النتيجة؟ بدي أقل من 
+
+95
+00:10:53,920 --> 00:10:59,980
+الأس المقدرة، يبقى واحد على واحد يعني بواحد بضل 10 
+
+96
+00:10:59,980 --> 00:11:03,960
+أس واحد X ناقص تكامل
+
+97
+00:11:16,370 --> 00:11:24,490
+يبقى النتيجة النهائية تساوي خمس tan أس خمسة x ناقص 
+
+98
+00:11:24,490 --> 00:11:32,230
+ثلث tan تكيب الـ x زائد tan الـ x ناقص x زائد 
+
+99
+00:11:32,230 --> 00:11:37,340
+constant c، يبقى هي استخدام قواعد الاختزال في الحصول 
+
+100
+00:11:37,340 --> 00:11:44,720
+على التكاملات دون الرجوع إلى section 8-2، مش لازم الـ 
+
+101
+00:11:44,720 --> 00:11:48,940
+trigonometric integrals، هي باصة قواعد الاختزال، خد 
+
+102
+00:11:48,940 --> 00:12:00,800
+مثال ثاني بيقول يتكامل لـ sin تربيع 2θ cos تكيب 2θ 
+
+103
+00:12:00,800 --> 00:12:02,660
+كله في dθ
+
+104
+00:12:05,610 --> 00:12:09,310
+بعدين بطلع قواعد اختزال للأولى ولا الثانية ولا 
+
+105
+00:12:09,310 --> 00:12:13,850
+الثالثة، لكن جاي على مين؟ على الرابعة، لكن بطلع 
+
+106
+00:12:13,850 --> 00:12:17,870
+بلاجة هنا 2 ثيتا وهنا قديش؟ x، بيه هنا 
+
+107
+00:12:17,870 --> 00:12:22,650
+متغير مش ضعف المتغير، الشغل فيه ده، بشيل 2 
+
+108
+00:12:22,650 --> 00:12:28,590
+ثيتا وبحطها بأي متغير جديد، إذا أنا هنا لو حطيت الـ 
+
+109
+00:12:28,590 --> 00:12:35,610
+X يساوي 2 ثيتا يبقى الـ DX بده يساوي 2 دي 
+
+110
+00:12:35,610 --> 00:12:42,090
+ثيتا، إذا الـ D ثيتا بقديش؟ بنص DX، يبقى صار هذا هي 
+
+111
+00:12:42,090 --> 00:12:48,690
+النص برا وتكامل sin تربيع الـ X كوسين تكيب الـ X في 
+
+112
+00:12:48,690 --> 00:12:55,460
+DX، ممكن أحلها بالـ trigonometric integrals زي سيكشن 
+
+113
+00:12:55,460 --> 00:12:59,140
+ثمانية اثنين صحيح؟ بس أنا ما بديش أحلها زي ثمانية 
+
+114
+00:12:59,140 --> 00:13:02,400
+اثنين، بدي أحلها بالقاعدة اللي أنا حاططها دي، مش 
+
+115
+00:13:02,400 --> 00:13:06,980
+هنستفيد منها، نشوف كيف نقدر نطبقها، يبقى بناء عليه 
+
+116
+00:13:06,980 --> 00:13:11,520
+هذا الكلام يستوي أي نص اللي برا وأي القاعدة اللي 
+
+117
+00:13:11,520 --> 00:13:17,770
+عندي بتقول بحطه سالب، هاي سالب الـ sin بدك تنقص من 
+
+118
+00:13:17,770 --> 00:13:24,290
+الأس تبعها واحد، قديش بصير؟ sin الـ X والـ cosine بدك 
+
+119
+00:13:24,290 --> 00:13:29,250
+تضيف للأس تبعها واحد، بصير cosine أس قديش؟ cosine أس 
+
+120
+00:13:29,250 --> 00:13:36,750
+أربعة، يبقى هنا cosine أس أربعة X مقسوما على M زائد 
+
+121
+00:13:36,750 --> 00:13:44,870
+الـ M يبقى 2 زائد 3، اثنين زائد تلاتة زائد الـ M بدي 
+
+122
+00:13:44,870 --> 00:13:51,190
+أطرح منها واحد، يبقى قديش؟ واحد على مجموعهم اثنين 
+
+123
+00:13:51,190 --> 00:13:55,990
+زائد تلاتة في تكامل الـ sin بدي أطرح منها اثنين 
+
+124
+00:13:55,990 --> 00:13:57,910
+بيبقى الـ sin قديش؟
+
+125
+00:14:06,370 --> 00:14:14,070
+يبقى هنا cosine تكيب الـ x dx، يعني بترجع الكوسين 
+
+126
+00:14:14,070 --> 00:14:18,370
+زي ما كانت بالضبط تماما يبقى هذه النتيجة اللي
+
+127
+00:14:18,370 --> 00:14:24,550
+عندنا ممتاز جدا هذه جاهزة يبقى هذه كأنها ناقص عشر
+
+128
+00:14:25,110 --> 00:14:33,110
+يبقى لو جئت هنا و قلت هذه تساوي ناقص عشر sin X cos
+
+129
+00:14:33,110 --> 00:14:41,190
+أربع X هذا ال term الأول وهنا زائد وصلنا هذه اللي
+
+130
+00:14:41,190 --> 00:14:46,430
+هي الخمس وبدأ أطبق قاعدة ال reduction of order
+
+131
+00:14:46,430 --> 00:14:51,730
+تبعت من؟ تبعت ال cosine برجع لل cosine اللي هي
+
+132
+00:14:51,730 --> 00:14:57,550
+القاعدة الثانية دي يبقى واحد على n واحد على n
+
+133
+00:14:57,550 --> 00:15:04,240
+لمين؟ لل cosine تكعيبها بيبقى كده إيش؟ ثلثها هنا
+
+134
+00:15:04,240 --> 00:15:11,520
+cosine تربيعها ال X تطرح من الأس واحد و تضرب في sin
+
+135
+00:15:11,520 --> 00:15:18,240
+X ناقص ناقص نقص نقص نقص نقص نقص نقص نقص نقص
+
+136
+00:15:18,240 --> 00:15:19,820
+نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص
+
+137
+00:15:19,820 --> 00:15:20,500
+نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص
+
+138
+00:15:20,500 --> 00:15:23,640
+نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص
+
+139
+00:15:23,640 --> 00:15:30,000
+نقص نقص نقص نقص نقص نقص 
+
+140
+00:15:30,370 --> 00:15:34,770
+الـ cosine اللي عندنا هنا بيطرح منها شرطة اثنين
+
+141
+00:15:34,770 --> 00:15:41,490
+يبقى بتقول شرطة cosine x فقط لا غير cosine ال x في
+
+142
+00:15:41,490 --> 00:15:49,050
+dx كيف؟ مثلا سالب
+
+143
+00:15:49,050 --> 00:15:53,430
+اثنين على تلاتة كم ولا cosine ال x؟ سالب اثنين على
+
+144
+00:15:53,430 --> 00:15:53,670
+ثلاثة
+
+145
+00:16:03,350 --> 00:16:10,390
+خلي بالك من الأول هذا النص في الكل مظبوط يبقى جان
+
+146
+00:16:10,390 --> 00:16:15,470
+على النص بالنظر لأن هنا سالب عشر وكمان هنا زائد
+
+147
+00:16:15,470 --> 00:16:21,890
+عشر زائد عشر هذا يصير عشر مظبوط تمام؟ والباقي سليم
+
+148
+00:16:21,890 --> 00:16:26,810
+مش فيه أي مشكلة يبقى النتيجة النهائية تساوي
+
+149
+00:16:33,720 --> 00:16:40,820
+هذا زائد واحد على ثلاثين زائد واحد على ثلاثين
+
+150
+00:16:40,820 --> 00:16:48,600
+cosine تربيعها ال X في sine X هذه تدخل هنا ويبقى
+
+151
+00:16:48,600 --> 00:16:57,280
+واحد على خمسة عشر يبقى زائد واحد على خمسة عشر sine X
+
+152
+00:16:57,280 --> 00:16:59,900
+زائد constant C
+
+153
+00:17:02,560 --> 00:17:08,480
+طيب هنا بعدها بدك تروح تشيل كل X و تحط مكانها ثيتا
+
+154
+00:17:08,920 --> 00:17:15,160
+يبقى الجواب النهائي هيأخذ الشكل التالي اللي هو
+
+155
+00:17:15,160 --> 00:17:23,420
+سالب عشر sin اثنين ثيتا cos أس أربعة اثنين ثيتا
+
+156
+00:17:23,420 --> 00:17:31,200
+زائد واحد على ثلاثين cos تربيع اثنين ثيتا sin
+
+157
+00:17:31,200 --> 00:17:39,420
+اثنين ثيتا زائد واحد على خمسة عشر ل sin اثنين ثيتا
+
+158
+00:17:39,420 --> 00:17:46,280
+زائد constant C لحد هنا stop انتهى هذا ال section
+
+159
+00:17:46,280 --> 00:17:54,300
+ولم يبقى إلا مجموعة من التمارين المطلوب حلها
+
+160
+00:18:19,590 --> 00:18:25,770
+بنروح ل section ثمانية خمسة والمسائل ثمانية خمسة
+
+161
+00:18:25,770 --> 00:18:31,410
+exercises هي اكتب عليك فوق يبقى exercises ثمانية
+
+162
+00:18:31,410 --> 00:18:42,910
+خمسة من واحد ل ستة وخمسين اللي هو multiple of three
+
+163
+00:18:42,910 --> 00:18:45,830
+يبقى مضاعفات الثلاثة
+
+164
+00:18:49,000 --> 00:18:53,540
+بنسقل هنا ل سيكشن ثمانية ستة و بنقول له مع السلامة
+
+165
+00:18:53,540 --> 00:18:59,380
+و بنروح ل ثمانية سبعة مباشرة هو ال M proper
+
+166
+00:18:59,380 --> 00:19:02,280
+integrals
+
+167
+00:19:15,360 --> 00:19:18,860
+بنجلال الموضوع الـ improper integrals اللي هو
+
+168
+00:19:18,860 --> 00:19:24,380
+تكاملات المعتلة الترجمة العربية تكاملات معتلة إيش
+
+169
+00:19:24,380 --> 00:19:29,500
+يعني؟ يعني اللي فيها علة محددة نقول أه بدنا نعرف
+
+170
+00:19:29,500 --> 00:19:35,480
+ما هي هذه العلة التي بسببها حكمنا على هذا التكامل
+
+171
+00:19:35,480 --> 00:19:41,400
+أنه تكامل معتل نقول لك أه يوجد بدل العلة علتين
+
+172
+00:19:41,400 --> 00:19:46,930
+العلة الأولى أن هذا التكامل تكامل محدود وحدود
+
+173
+00:19:46,930 --> 00:19:52,070
+التكامل لم نتعودها من قبل اللي متعودينها من صفر
+
+174
+00:19:52,070 --> 00:19:56,470
+لواحد من واحد لخمسة من واحد لاثنين زي ما بدك لكن
+
+175
+00:19:56,470 --> 00:20:02,930
+هذا من constant لغاية infinity أو من سالب infinity
+
+176
+00:20:02,930 --> 00:20:08,130
+إلى constant أو من سالب infinity إلى infinity يبقى
+
+177
+00:20:08,130 --> 00:20:14,850
+هذا هو النوع الأول من أنواع التكامل المعتل إذا كان
+
+178
+00:20:14,850 --> 00:20:19,870
+التكامل المحدود أحد حدود التكامل أو كلاهما
+
+179
+00:20:19,870 --> 00:20:25,330
+infinity بسميه تكامل معتل النوع الثاني
+
+180
+00:20:27,650 --> 00:20:31,790
+التكامل عادي جدا زي ما احنا متعودين في الcalculus
+
+181
+00:20:31,790 --> 00:20:37,630
+من رقم إلى رقم آخر لكن الدالة اللي بدنا نكاملها دي
+
+182
+00:20:37,630 --> 00:20:43,670
+تصبح غير معرفة عند نقطة و هذه النقطة موجودة داخل
+
+183
+00:20:43,670 --> 00:20:48,770
+فترة التكامل إن حدث ذلك بقول هذا كمان ميان
+
+184
+00:20:48,770 --> 00:20:54,220
+improper integral اليوم إن شاء الله احنا هنبقى مع
+
+185
+00:20:54,220 --> 00:20:59,040
+الحالة الأولى اللي هو النوع الأول و بعد هيك بننتقل
+
+186
+00:20:59,040 --> 00:21:03,040
+إلى النوع الثاني يبقى بدنا نعطي تعريف للحالة
+
+187
+00:21:03,040 --> 00:21:10,090
+الأولى ثنين كيف بدنا نحسب هذا التكامل بنقول لك يبقى
+
+188
+00:21:10,090 --> 00:21:15,370
+هذا التكامل اللي أحد حدوده مالها نهاية أو كلاهما
+
+189
+00:21:15,370 --> 00:21:20,150
+بحاوله إلى تكامل عادي من الرقم إلى رقم يعني بشيل
+
+190
+00:21:20,150 --> 00:21:25,950
+مالها نهاية وبحط مكانها رقم وبأخذ ال limit لناتج
+
+191
+00:21:25,950 --> 00:21:31,010
+التكامل لما الرقم هذا يروح لوين أو لسالب مالها
+
+192
+00:21:31,010 --> 00:21:37,030
+نهائية حسب طبيعة المسألة الكلام اللي سمعته بدنا
+
+193
+00:21:37,030 --> 00:21:42,430
+نروح نكتبه وبعد ذلك نتناقش فيه قبل أن ندخل إلى
+
+194
+00:21:42,430 --> 00:21:46,730
+الأمثلة يبقى بدنا نعطي تعريف الأول لل improper
+
+195
+00:21:46,730 --> 00:21:50,210
+integral أو النوع الأول من ال improper integral
+
+196
+00:21:50,210 --> 00:21:58,790
+يبقى definition the definite
+
+197
+00:22:04,750 --> 00:22:14,710
+التكاملات المحدودة with infinite limits
+
+198
+00:22:14,710 --> 00:22:19,090
+of integration
+
+199
+00:22:31,840 --> 00:22:37,760
+are called improper
+
+200
+00:22:37,760 --> 00:22:45,540
+integrals
+
+201
+00:22:45,540 --> 00:22:54,180
+of type one تكاملات
+
+202
+00:22:54,180 --> 00:23:00,960
+معتلة من النوع الأول الآن كيف نحسبها؟ نمنع واحد
+
+203
+00:23:01,690 --> 00:23:10,750
+فبأجي بقوله if the f is continuous دالة متصلة على
+
+204
+00:23:10,750 --> 00:23:18,310
+الفترة من عند ال a لغاية ال infinity then تكامل من
+
+205
+00:23:18,310 --> 00:23:25,770
+a إلى infinity لل f of x dx بده يساوي ال limit لمن؟
+
+206
+00:23:25,770 --> 00:23:31,350
+لتكامل من a إلى b ولما b بدأت تروح لل infinity لل
+
+207
+00:23:31,350 --> 00:23:40,390
+f of x dx نمر اثنين if the f is continuous على
+
+208
+00:23:40,390 --> 00:23:46,770
+الفترة اللي عندنا هذه اللي من سالب infinity لغاية
+
+209
+00:23:46,770 --> 00:23:57,190
+b then تكامل من سالب infinity لغاية b لل F of X DX
+
+210
+00:23:57,190 --> 00:24:04,870
+يساوي ال limit تكامل من A إلى B لما A بدها تروح
+
+211
+00:24:04,870 --> 00:24:13,950
+إلى سالب infinity لمن؟ لل F of X في DX الحالة
+
+212
+00:24:13,950 --> 00:24:22,640
+الثالثة إذا كان الـ F مستمر في سالب Infinity و
+
+213
+00:24:22,640 --> 00:24:23,460
+Infinity
+
+214
+00:24:26,420 --> 00:24:32,180
+تكامل من سالب Infinity إلى Infinity لل F of X DX
+
+215
+00:24:32,180 --> 00:24:41,300
+يساوي تكامل من سالب Infinity إلى A لل F of X DX أو
+
+216
+00:24:41,300 --> 00:24:50,440
+لـ C مثلا زائد تكامل من C إلى Infinity لل F of X 
+
+217
+00:24:50,440 --> 00:24:51,400
+DX
+
+218
+00:24:54,580 --> 00:24:59,100
+كمان تعريف definition طبعا حرج على كل واحدة فيهم
+
+219
+00:24:59,100 --> 00:25:13,980
+بالتفصيل in each of the above cases في كل حالة من
+
+220
+00:25:13,980 --> 00:25:23,300
+الحالات أعلاهم if the limit is finite if the limit
+
+221
+00:25:24,450 --> 00:25:32,850
+is finite لو كانت النهاية رقم محدد أو محدودة we
+
+222
+00:25:32,850 --> 00:25:36,210
+say
+
+223
+00:25:36,210 --> 00:25:45,090
+that the
+
+224
+00:25:45,090 --> 00:25:47,090
+improper integral converges
+
+225
+00:25:58,270 --> 00:26:05,010
+الإنتقالات تتقارب تتقارب
+
+226
+00:26:05,010 --> 00:26:06,470
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب
+
+227
+00:26:06,470 --> 00:26:06,530
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب
+
+228
+00:26:06,530 --> 00:26:06,670
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب
+
+229
+00:26:06,670 --> 00:26:07,390
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب
+
+230
+00:26:07,390 --> 00:26:10,570
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب
+
+231
+00:26:10,570 --> 00:26:19,650
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب 
+
+232
+00:26:21,220 --> 00:26:36,420
+وقيمة النهاية and the
+
+233
+00:26:36,420 --> 00:26:45,560
+value of the limit is the value of
+
+234
+00:26:45,560 --> 00:26:55,610
+the integral يبقى هنا قيمة main التكامل if the
+
+235
+00:26:55,610 --> 00:27:01,110
+limit fails
+
+236
+00:27:01,110 --> 00:27:09,670
+to exist the
+
+237
+00:27:09,670 --> 00:27:10,850
+improper integral
+
+238
+00:27:19,250 --> 00:27:30,690
+is called diverge is called diverge
+
+239
+00:27:30,690 --> 00:27:36,930
+تُخَدّك
+
+240
+00:27:36,930 --> 00:27:44,370
+الملاحظة البسيطة remark converge
+
+241
+00:27:44,370 --> 00:27:54,860
+زائد أو ناقص converge زائد
+
+242
+00:27:54,860 --> 00:28:04,040
+أو ناقص diverge
+
+243
+00:28:04,040 --> 00:28:07,660
+may be
+
+244
+00:28:07,660 --> 00:28:24,470
+converge or may be diverge example determine
+
+245
+00:28:24,470 --> 00:28:28,510
+whether
+
+246
+00:28:28,510 --> 00:28:37,450
+the following improper
+
+247
+00:28:37,450 --> 00:28:42,990
+integrals
+
+248
+00:28:42,990 --> 00:28:46,370
+converge
+
+249
+00:28:47,420 --> 00:28:56,320
+or diverge
+
+250
+00:28:56,320 --> 00:29:04,340
+التكامل الأول integration من zero إلى infinity إلى 
+
+251
+00:29:04,340 --> 00:29:12,640
+ستة عشر تان inverse x على واحد زائد x تربيع dx
+
+252
+00:29:31,110 --> 00:29:39,590
+fails to exist يعني مش موجودة ما قدرنا عشان نوجدها
+
+253
+00:29:39,590 --> 00:29:57,890
+تبقى
+
+254
+00:29:57,890 --> 00:30:03,500
+هذا section very important مهم جدا لو هي منبهك من
+
+255
+00:30:03,500 --> 00:30:08,560
+الآن فصاعدا لامتحان الثاني فيه سؤال عليه قبل ما
+
+256
+00:30:08,560 --> 00:30:11,840
+نكتب ولا حرف لسه في الإبداع ولا نعرف ايش شكله 
+
+257
+00:30:11,840 --> 00:30:19,520
+النظر لأهمية هذا ال section فيه سؤال عليه كيف؟
+
+258
+00:30:19,520 --> 00:30:27,200
+مش سامع؟ ايش الخمسة عشر؟ أنا قلت من الخمسة عشر ولا
+
+259
+00:30:27,200 --> 00:30:33,460
+جيب السبت عشر؟ هذا ده قلت خمساش ولا ستاش؟
+
+260
+00:30:52,100 --> 00:30:56,300
+هذا ال section يا شباب يختلف عن ال sections
+
+261
+00:30:56,300 --> 00:31:02,160
+السابقة طبعا أول مرة بيقابلنا أنه أحد حدود التكامل
+
+262
+00:31:02,160 --> 00:31:07,240
+بمالة نهاية أو سالب مالة نهاية بكالكولاس A و
+
+263
+00:31:07,240 --> 00:31:11,300
+كالكولاس B حتى الآن لم نراهم من قبل وإنما ابتداء
+
+264
+00:31:11,300 --> 00:31:15,680
+من اليوم ولذلك من اليوم لغاية أربعين يوم جاية إن
+
+265
+00:31:15,680 --> 00:31:21,800
+شاء الله وإحنا بنتكلم عن كلمتين كلمة converge و
+
+266
+00:31:21,800 --> 00:31:24,760
+diverge يعني ال section هذا وال chapter اللي جاي
+
+267
+00:31:24,760 --> 00:31:29,660
+كله مركب على الكلمتين هدول طبعا طيب قبل ما نوصل
+
+268
+00:31:29,660 --> 00:31:35,120
+لهم خلينا نبدأ الموضوع من أوله يبقى هذا ال section
+
+269
+00:31:35,120 --> 00:31:40,680
+هنقسمه إلى ثلاث نقاط رئيسة النقطة الأولى اللي هو
+
+270
+00:31:40,680 --> 00:31:44,830
+ال improper integral from type one النقطة الثالثة
+
+271
+00:31:44,830 --> 00:31:53,850
+الاختبارات
+
+272
+00:31:53,850 --> 00:31:57,510
+اللي ممكن أستخدمها في الحكم على هذا التكامل
+
+273
+00:31:57,510 --> 00:32:02,630
+converge ولا diverge بدون إجراء عملية التكامل
+
+274
+00:32:02,630 --> 00:32:07,210
+خلينا اليوم فقط مع النقطة الأولى فاجب أقول
+
+275
+00:32:07,210 --> 00:32:11,830
+التكاملات المحدودة within finite limits of
+
+276
+00:32:11,830 --> 00:32:15,910
+integration حدود التكامل مشتملة على ال infinity
+
+277
+00:32:15,910 --> 00:32:21,810
+يعني من constant إلى infinity إلى f of x dx من
+
+278
+00:32:21,810 --> 00:32:25,810
+سالب infinity إلى constant إلى f of x dx من سالب
+
+279
+00:32:25,810 --> 00:32:29,930
+infinity إلى موجب infinity إلى f of x dx هدول
+
+280
+00:32:29,930 --> 00:32:34,180
+التلاتة هدول كلهم ما سميهم improper integrals of
+
+281
+00:32:34,180 --> 00:32:39,060
+type one من النوع الأول. الآن كيف بنحسب هذه
+
+282
+00:32:39,060 --> 00:32:42,660
+التكاملات؟ نجي للنقطة الأولى، إذا الدالة دالة
+
+283
+00:32:42,660 --> 00:32:47,080
+متصلة على الفترة، طب ليش دالة متصلة؟ يعني ضروري؟
+
+284
+00:32:47,080 --> 00:32:51,760
+آه الإجابة ضروري، مش أن تكون التكامل exist، يجب أن
+
+285
+00:32:51,760 --> 00:32:56,760
+تكون الدالة المراد تكاملها هي دالة متصلة وقد درسنا
+
+286
+00:32:56,760 --> 00:33:01,560
+في ال calculus ايه؟ إن ال existence للتكامل بيحدث
+
+287
+00:33:01,560 --> 00:33:07,460
+إذا كانت الدالة دالة متصلة تمام تمام إذا هذا شرط
+
+288
+00:33:07,460 --> 00:33:11,640
+ضروري حتى التكامل يكون existence على أي حال إذا
+
+289
+00:33:11,640 --> 00:33:15,120
+الدالة دالة متصلة على الفترة هذه بتكامل من a إلى
+
+290
+00:33:15,120 --> 00:33:19,580
+infinity إلى f of x dx بديها تسمية جديدة عليها
+
+291
+00:33:19,580 --> 00:33:24,780
+مين؟ اللي هي ال infinity بقول بسيطة حط تكامل من A
+
+292
+00:33:24,780 --> 00:33:28,560
+إلى B يعني شيلنا ال infinity و حطينا مكانها مين؟ B
+
+293
+00:33:28,560 --> 00:33:32,660
+و روحنا كاملنا الدالة و روح بعوض بالقيم اللي فوق
+
+294
+00:33:32,660 --> 00:33:38,200
+ناقص اللي تحت بتطلع نتيجة بدلالة B بعد ما تطلع بدلالة B
+
+295
+00:33:38,200 --> 00:33:43,340
+بدي أخد ال limit لما B بدي تروح لمال نهايتها قيمة ال
+
+296
+00:33:43,340 --> 00:33:49,220
+limit اللي بتطلع هذه بتكون هي قيمة التكامل طب هذا
+
+297
+00:33:49,220 --> 00:33:53,080
+الحالة الأولى الحالة الثانية الدالة المتصلة على
+
+298
+00:33:53,080 --> 00:33:56,820
+الفترة من سالب infinity لغاية b يبقى integration
+
+299
+00:33:56,820 --> 00:34:01,840
+من سالب infinity ل b ل dx بدي أشيل سالب infinity
+
+300
+00:34:01,840 --> 00:34:07,220
+و أحط مكانها ايه و أخلي a تروح لسالب infinity
+
+301
+00:34:07,220 --> 00:34:11,440
+يبقى بدي أكامل الدالة و أعوض بالحدود من a طبع
+
+302
+00:34:11,440 --> 00:34:11,980
+الرقم
+
+303
+00:34:29,490 --> 00:34:36,210
+أفترض التكامل من سالب infinity إلى infinity من خواص
+
+304
+00:34:36,210 --> 00:34:39,910
+التكامل المحدود أنه يمكن تجزئته إلى جزئين لثلاثة
+
+305
+00:34:39,910 --> 00:34:44,770
+لأربعة جد ما بدك إحنا بيقول يكفي جزء لوين إلى جزئين
+
+306
+00:34:44,770 --> 00:34:50,150
+من سالب Infinity إلى C ومن C إلى Infinity لو جيت
+
+307
+00:34:50,150 --> 00:34:54,710
+للأولى هي الحالة الثانية، ولو جيت للتانية هذه هي
+
+308
+00:34:54,710 --> 00:34:58,770
+الحالة الأولى اللي فوق، مظبوط ولا لا؟ يبقى بعمل كل
+
+309
+00:34:58,770 --> 00:35:03,030
+واحدة بالحالتين للاتنين، هو كأن الحالة الثالثة
+
+310
+00:35:03,030 --> 00:35:08,470
+بتشمل الحالة الأولى والحالة الثانية، يبقى في هذه
+
+311
+00:35:08,470 --> 00:35:13,250
+الحالة حسب التكامل، في احتمال لمن أجي أحسب ال
+
+312
+00:35:13,250 --> 00:35:17,400
+limit، ال limit تطلع قيمة عددية و احتمال تطلع does
+
+313
+00:35:17,400 --> 00:35:21,960
+not exist أو infinity أو سالب infinity على كل
+
+314
+00:35:21,960 --> 00:35:27,680
+الأمرين بقول ال limit does not exist وبالتالي إذا
+
+315
+00:35:27,680 --> 00:35:32,600
+طلعت ال limit قيمة عددية بقول عن التكامل converge
+
+316
+00:35:32,600 --> 00:35:36,860
+وإذا ال limit طلعت مالها نهاية أو does not exist
+
+317
+00:35:36,860 --> 00:35:41,010
+بقول التكامل مالها نهاية diverge converge بالعربي يعني
+
+318
+00:35:41,010 --> 00:35:46,630
+تقارب التكامل هيصل إلى رقم محدد diverge يبقى الله
+
+319
+00:35:46,630 --> 00:35:52,790
+يُسهل عليه تباعد لا يمكن نقدر نلحقه تمام؟ كويس يبقى
+
+320
+00:35:52,790 --> 00:35:57,570
+هذه كلمة converge و diverge بدأت من الآن تطرق
+
+321
+00:35:57,570 --> 00:36:02,190
+أسماءنا فبعدين بقول في كل حالة من الحالات اللي فوق
+
+322
+00:36:02,190 --> 00:36:07,310
+إذا ال limit كانت finite يعني سواء رقم محدد بقول
+
+323
+00:36:07,310 --> 00:36:12,770
+التكامل converge وفي هذه الحالة قيمة ال limit بتكون
+
+324
+00:36:12,770 --> 00:36:17,230
+هي القيمة الحقيقية تبع تمين التكامل إذا ليه ال
+
+325
+00:36:17,230 --> 00:36:20,450
+limit failed to exist يبقى التكامل بيقول عليه معنى
+
+326
+00:36:20,450 --> 00:36:25,630
+diverge طيب افترض أنه عندي أنا الحالة الثالثة اللي
+
+327
+00:36:25,630 --> 00:36:30,110
+بتشمل الأولى والثانية يبقى صار عندي بدل التكامل
+
+328
+00:36:30,110 --> 00:36:34,610
+قداش اتنين في احتمال الأول التكامل يطلع converge
+
+329
+00:36:34,610 --> 00:36:39,150
+والثاني converge يبقى ما جمعهما أو الفرق فيه ما
+
+330
+00:36:39,150 --> 00:36:42,690
+بينهما يطلع لأنه رقم، ناقص أو زاد رقم، ممكن يعطينا
+
+331
+00:36:42,690 --> 00:36:47,690
+رقم، مظبوط، يبقى التكامل converge احتمال واحد
+
+332
+00:36:47,690 --> 00:36:52,430
+converge يعني رقم والثاني diverge الله يسهل عليه،
+
+333
+00:36:52,430 --> 00:36:55,630
+يبقى ايش بتطلع النتيجة على بعضها؟ divergence إن
+
+334
+00:36:55,630 --> 00:36:59,010
+المالها نهاية، تجمعلها رقم، بتطلع منها رقم، بتعطيه
+
+335
+00:36:59,010 --> 00:37:04,930
+قدرش طيب الاحتمال الثالث إن التكامل أول diverge
+
+336
+00:37:04,930 --> 00:37:10,390
+والثاني diverge اللي في هذه الحالة احتمال النتج
+
+337
+00:37:10,390 --> 00:37:14,850
+يكون diverge واحتمال يكون converge يبقى ليه
+
+338
+00:37:14,850 --> 00:37:20,150
+احتمالين وردات يبقى باجي بقوله هذا maybe converge
+
+339
+00:37:20,150 --> 00:37:24,930
+or maybe diverge يعني نتيجة التكامل قد يكون تباعدي
+
+340
+00:37:24,930 --> 00:37:31,330
+وقد يكون تقاربي طبعا لأول وهلة حيقول بعض الشباب
+
+341
+00:37:31,330 --> 00:37:35,710
+منكم معقول يكونوا اثنين diverge ويصير المجموع
+
+342
+00:37:35,710 --> 00:37:41,310
+تبعهم converge ويقول لك نعم هذا الكلام ممكن وسنثبته
+
+343
+00:37:41,310 --> 00:37:45,490
+مش هنطول عليك يعني بس في ال section الجاية نعطيك
+
+344
+00:37:45,490 --> 00:37:49,670
+أمثلة عددية كيف diverge و divergence خلالها cash
+
+345
+00:37:49,670 --> 00:37:54,590
+converge إحنا مجرد معلوم بالدنيا كل ذرة في دماغك من
+
+346
+00:37:54,590 --> 00:37:57,970
+هنا و للشبكة الرجاية كمان هذا مش عجب ال section
+
+347
+00:37:57,970 --> 00:38:03,630
+هذا تمام يبقى نتيجة ال limit والله إذا كانت
+
+348
+00:38:03,630 --> 00:38:08,790
+converge يبقى قيمة ال limit هي قيمة التكامل إذا ال
+
+349
+00:38:08,790 --> 00:38:11,750
+limit كانت ضخمة exactly بتاكمله اللي بقول عنه
+
+350
+00:38:11,750 --> 00:38:17,250
+diverge يعني ما عنديش قيمة محددة لمين لهذا التكامل
+
+351
+00:38:17,250 --> 00:38:23,190
+أجبنا على سؤالك؟ الحمد لله طيب يبقى بدنا ناخد أمثلة
+
+352
+00:38:23,190 --> 00:38:31,090
+تطبيقية للكلام اللي إحنا بنقوله أيوه إذا طلع رقم
+
+353
+00:38:31,090 --> 00:38:35,970
+بقول قيمة التكامل تساوي هذا الرقم وبالتالي التكامل
+
+354
+00:38:35,970 --> 00:38:39,590
+convert وإذا طلع infinity والله فادي exist ال
+
+355
+00:38:39,590 --> 00:38:43,410
+limit بقول يبقى التكامل diverge وما عنديش أرقام
+
+356
+00:38:44,020 --> 00:38:48,620
+بيقول حدد مين من التكاملات التالية بيكون converged
+
+357
+00:38:48,620 --> 00:38:53,060
+ومين من التكاملات التالية بيكون diverged بقوله
+
+358
+00:38:53,060 --> 00:38:58,080
+كويس المثال اللي عندنا هذه بطلع هل هو improper
+
+359
+00:38:58,080 --> 00:39:02,320
+integral لو لأ بطلع لحدود التكامل أحد الحدود
+
+360
+00:39:02,320 --> 00:39:07,850
+infinity يبقى هذا improper integral يبقى باجي بقوله
+
+361
+00:39:07,850 --> 00:39:14,250
+ها ال 16 برا وهذا ال limit وتكامل من zero إلى B
+
+362
+00:39:14,250 --> 00:39:20,650
+وبده أخلي B تروح لوين؟ لمال النهاية وهذه tan
+
+363
+00:39:20,650 --> 00:39:24,390
+inverse X واش رأيك في هذه؟
+
+364
+00:39:30,470 --> 00:39:40,450
+يبقى هذه مشتقة تان inverse X وكأن واحدة بنكامل w dw
+
+365
+00:39:40,450 --> 00:39:45,870
+يبقى بدنا نضيف للأس واحد ونقسم على الأس الجديد
+
+366
+00:39:45,870 --> 00:39:51,570
+يبقى هذه الست عشر وهذا ال limit لما B tends to
+
+367
+00:39:51,570 --> 00:39:55,970
+infinity لمين؟ لتان
+
+368
+00:39:56,720 --> 00:40:02,640
+Inverse X الكل تربيع على اتنين والكلام هذا من
+
+369
+00:40:02,640 --> 00:40:08,980
+Zero لغاية جداش لغاية B طيب هذا بده يساوي هاي
+
+370
+00:40:08,980 --> 00:40:15,160
+الستاش برا وهذا limit لما B تنسو Infinity بتعوض
+
+371
+00:40:15,160 --> 00:40:21,900
+بالقيمة اللي فوق يبقى Tan Inverse B الكل تربيع
+
+372
+00:40:21,900 --> 00:40:27,510
+ناقص Tan Inverse طبعا على اتنين يا شباب بيصير هذه
+
+373
+00:40:27,510 --> 00:40:33,530
+كده؟ ثمانية بدل الست عشر بيصير هذه ثمانية وبيصير
+
+374
+00:40:33,530 --> 00:40:40,010
+هذا ناقص ten inverse zero شكل الانان كده تان انفرز
+
+375
+00:40:40,010 --> 00:40:45,350
+زيرو؟ زيرو تمام نيجي ل ten inverse b؟ b وين 
+
+376
+00:40:45,350 --> 00:40:49,930
+بدها تروح؟ عند المال نهاية كدهش بيصير الـ ten
+
+377
+00:40:49,930 --> 00:40:56,280
+inverse؟ بايع اتنين أقصى قيمة بتاخدها بايع اتنين و
+
+378
+00:40:56,280 --> 00:41:01,900
+أقل قيمة سالب بايع على اتنين يبقى هذه بدها تساوي
+
+379
+00:41:01,900 --> 00:41:09,120
+ثمانية في بايع على اتنين لكل تربيع يعني اتنين بايع
+
+380
+00:41:09,120 --> 00:41:16,860
+تربيع طلعت النتيجة عند الرقم يبقى التكامل قيمة
+
+381
+00:41:16,860 --> 00:41:21,080
+التكامل هو الرقم اللي طلع وبالتالي بقول له so
+
+382
+00:41:21,080 --> 00:41:29,160
+تكامل من zero لـ infinity لـ 16 tan inverse x على 1
+
+383
+00:41:29,160 --> 00:41:35,820
+زائد x تربيع dx converge وانتهينا من هذه المسألة
+
+384
+00:41:53,630 --> 00:42:03,370
+بناخد كمان مثال يبقى example two بدنا تكامل من
+
+385
+00:42:03,370 --> 00:42:11,070
+اتنين الى infinity للـ اتنين على x تربيع ناقص x dx
+
+386
+00:42:11,070 --> 00:42:20,240
+فالليلي في السؤال كويس الدالة مش معرفة وينعند الـ
+
+387
+00:42:20,240 --> 00:42:25,280
+Zero وعند الواحد عند Zero وواحد هنا يبقى دول برا
+
+388
+00:42:25,280 --> 00:42:29,140
+منطقة التكامل إذا ماليش علاقة فيهم إذا هذا
+
+389
+00:42:29,140 --> 00:42:34,080
+improper فقط بسبب وجود الـ infinity إذا بقول
+
+390
+00:42:34,080 --> 00:42:40,140
+له هذا الكلام يساوي اتنين خليك برا و high limit
+
+391
+00:42:40,140 --> 00:42:46,640
+ويتكامل من اتنين لـ B لما B بدأ تروح للـ infinity
+
+392
+00:42:46,640 --> 00:42:51,920
+لمن؟ لواحد على كيف بدنا نكملها يا شباب لو بدنا
+
+393
+00:42:51,920 --> 00:42:57,400
+نكملها؟ بدل
+
+394
+00:42:57,400 --> 00:43:03,320
+الطريقة طرق اكمل المرضع بتحل المثلة ممكن ناخد X
+
+395
+00:43:03,320 --> 00:43:06,360
+عامل ومشترك وناخد X نقص واحد ونعمل الـ partial
+
+396
+00:43:06,360 --> 00:43:12,840
+fraction بنحل المشكلة تمام؟ واحد اه مية المية وجهة
+
+397
+00:43:12,840 --> 00:43:16,870
+نظر تالتة بنقول اللي بياخد x² عامل مشترك ونقول له
+
+398
+00:43:16,870 --> 00:43:24,690
+كويس يفجأ الـ x² عامل مشترك بيظل 1-1 على x كله في
+
+399
+00:43:24,690 --> 00:43:33,190
+dx يبقى بناء عليه بدي أشيل كل المقدار بين القوسين و
+
+400
+00:43:33,190 --> 00:43:39,950
+أحطه بمين بمتغير آخر لو حطيت T تساوي واحد نقص واحد
+
+401
+00:43:39,950 --> 00:43:46,650
+على X يبقى DT بواحد على X تربيع DX إذا واحد على X
+
+402
+00:43:46,650 --> 00:43:53,900
+تربيع DX بدي أشيل وقته بدل جداش DT يبقى اتنين limit
+
+403
+00:43:53,900 --> 00:44:01,500
+لما B تنزل إلى infinity لتكامل DT على T فقط لغير
+
+404
+00:44:01,500 --> 00:44:06,000
+يبقى مش هاد الـ partial fractions تعويضة إلى
+
+405
+00:44:06,000 --> 00:44:10,300
+وجه الدوري بس دير بالك اصحى تلعب في حدود التكامل
+
+406
+00:44:10,300 --> 00:44:13,780
+لإن إذا غيرتهم فتبقى التعويضة تغير الـ index اللي
+
+407
+00:44:13,780 --> 00:44:18,330
+تحت limit كمان يبقى مشان هيك لأ خلّي كل شيء .. وبعد
+
+408
+00:44:18,330 --> 00:44:22,410
+ما كامل برجعها إلى مين؟ إلى أصلها وبالتالي ضمنت أن
+
+409
+00:44:22,410 --> 00:44:28,630
+لا يكون هناك خطأ يبقى باجي بقول هذا اتنين limit لما
+
+410
+00:44:28,630 --> 00:44:34,530
+B tends to infinity تكامل هذه لين absolute value لـ
+
+411
+00:44:34,530 --> 00:44:40,310
+T يعني اتنين limit لما B tends to infinity لـ لين
+
+412
+00:44:40,310 --> 00:44:45,690
+absolute value لـ T لواحد ناقص واحد على X والحكي
+
+413
+00:44:45,690 --> 00:44:51,770
+هذا كله من عند اتنين لغاية B يبقى رجعتها بدلالة الـ
+
+414
+00:44:51,770 --> 00:44:57,650
+X و رجعت حدود التكامل كما هي يبقى اتنين limit لما
+
+415
+00:44:57,650 --> 00:45:01,810
+B tends to infinity بدنا نعوض بالقيمة اللي فوق
+
+416
+00:45:01,810 --> 00:45:08,590
+واحد ناقص واحد على B ناقص لان واحد ناقص واحد على
+
+417
+00:45:08,590 --> 00:45:14,990
+اتنين هذا الكلام يساوي اتنين في أبصر جداشي هذا كله
+
+418
+00:45:14,990 --> 00:45:18,230
+بدأ أحط الـ B بـ infinity واحد على infinity
+
+419
+00:45:27,950 --> 00:45:39,510
+نقص نقص نقص نقص نقص نقص
+
+420
+00:45:39,510 --> 00:45:40,930
+نقص
+
+421
+00:45:56,680 --> 00:45:59,480
+تكامل التالت
+
+422
+00:46:03,350 --> 00:46:13,570
+بنى integration من سلب infinity لغاية سلب واحد على
+
+423
+00:46:13,570 --> 00:46:22,270
+الجذر التالت لـ X ناقص واحد كله بالنسبة لـ DX
+
+424
+00:46:41,390 --> 00:46:48,330
+بنفس الطريقة الدالة غير معرفة عند مين الواحد برا
+
+425
+00:46:48,330 --> 00:46:52,750
+تكامل برا فاتقى ده ماليش علاقة فيه يبقى باجي بقوله
+
+426
+00:46:52,750 --> 00:46:59,010
+هذا الكلام بده يساوي limit وهي تكامل من a لغاية
+
+427
+00:46:59,010 --> 00:47:05,550
+سالب واحد لما الـ a بدها تروح لسالب infinity للـ x
+
+428
+00:47:05,550 --> 00:47:13,280
+ناقص واحد وسالب طول dx هذا أس تلت نطلع فوق بصير أس
+
+429
+00:47:13,280 --> 00:47:18,400
+سالب تلت يبقى هذا الكلام بده يساوي الـ limit لما
+
+430
+00:47:18,400 --> 00:47:23,980
+ايه بدها تروح لسالب infinity هذا زي Y أس سالب تلت
+
+431
+00:47:23,980 --> 00:47:28,380
+بس بنضيف للأس واحد بنقسم على الأس الجديد لأن معامل
+
+432
+00:47:28,380 --> 00:47:33,840
+X هو الواحد الصحيح هو المعادلة من الدرجة الأولى
+
+433
+00:47:34,180 --> 00:47:43,380
+يبقى هذا بيصير x ناقص واحد كله طولتين على طولتين و
+
+434
+00:47:43,380 --> 00:47:48,620
+الحكي هذا كله من عند الـ a لغاية ناقص واحد إذا ان
+
+435
+00:47:48,620 --> 00:47:54,140
+النتيجة تساوي تلاتة على اتنين هي ضارة و هذا الـ
+
+436
+00:47:54,140 --> 00:48:00,540
+limit لما الـ a بدها تروح لسالب infinity و القيمة
+
+437
+00:48:00,540 --> 00:48:06,140
+اللي فوق ناقص واحد ناقصت واحد بظل ناقص اتنين الجذر
+
+438
+00:48:06,140 --> 00:48:12,800
+التالت لناقص اتنين تربيع يبقى الجذر التالت لاربعة
+
+439
+00:48:12,800 --> 00:48:17,900
+هذا التعويض بالقيمة اللي فوق ناقص القيمة اللي تحت
+
+440
+00:48:17,900 --> 00:48:25,900
+اللي هو الـ a ناقص واحد أس تلتين طيب هذا الكلام بده
+
+441
+00:48:25,900 --> 00:48:33,400
+يساوي تلاتة في الجذر التالت لاربعة ناقص طلعلي هنا
+
+442
+00:48:33,400 --> 00:48:39,040
+كويس، هنا ايه بتروح لمين؟ لسلب infinity، ولو جينا
+
+443
+00:48:39,040 --> 00:48:45,320
+عوضنا سلب infinity سلب واحد سلب infinity الجذر
+
+444
+00:48:45,320 --> 00:48:50,860
+التالت لسلب infinity تربيع موجة بـ infinity تحت
+
+445
+00:48:50,860 --> 00:48:55,660
+الجذر التالت بـ infinity، وفي عندي إشارة سلب برا،
+
+446
+00:48:55,660 --> 00:49:04,220
+بصير سلب infinity مرة تانية، مرة تانية، هذه زي ما
+
+447
+00:49:04,220 --> 00:49:08,620
+هي، كويس؟ و جينا ليها دي، خلينا ليها تروح لسالب
+
+448
+00:49:08,620 --> 00:49:13,360
+infinity، يبقى ده كله بسالب infinity الجذر التالت
+
+449
+00:49:13,360 --> 00:49:19,170
+لسالب infinity تربيع يعني موجبوعندي إشارة سالب
+
+450
+00:49:19,170 --> 00:49:25,690
+برا بصير سالب infinity سالب infinity زاد رقم في
+
+451
+00:49:25,690 --> 00:49:31,330
+رقم بسالب infinity يبقى سالب infinity معناته
+
+452
+00:49:31,330 --> 00:49:36,450
+التكامل هذا بقى له by vir يبقى باجي بقول له so
+
+453
+00:49:36,450 --> 00:49:41,630
+تكامل من سالب infinity لسالب واحد لواحد على الجدرى
+
+454
+00:49:41,630 --> 00:49:47,550
+التالت لـ X ناقص واحد DX by vir السؤال الرابع
+
+455
+00:49:47,550 --> 00:49:54,710
+والأخير على هذه المجموعة نمرة 4 تكامل من سلب
+
+456
+00:49:54,710 --> 00:50:00,330
+infinity إلى infinity لسش الـ x dx
+
+457
+00:50:05,310 --> 00:50:10,750
+هذه بدأت تساوي تكامل من سلب infinity لـ infinity
+
+458
+00:50:10,750 --> 00:50:18,390
+للاثنين على u الـ six زائد u ناقص x dx يبقى شيلنا
+
+459
+00:50:18,390 --> 00:50:26,050
+الـ six الـ x و كتبناها بدلالة الـ exponential الدالة
+
+460
+00:50:26,050 --> 00:50:32,330
+دي even والله اده يا شباب ممتاز جدا يعني هذه بقدر
+
+461
+00:50:32,330 --> 00:50:37,230
+أقول التكامل على نص الفترة وبالتالي اختصرت بدل ما
+
+462
+00:50:37,230 --> 00:50:42,710
+هم تكاملين صراحة تكامل واحد يفجأ هنا بقدر أقول
+
+463
+00:50:42,710 --> 00:50:49,410
+اتنين تكامل من zero لـ infinity للاتنين على EOS6
+
+464
+00:50:49,410 --> 00:50:55,130
+زائد EOS ناقص XDX وحط جمالها even function بس عشان
+
+465
+00:50:55,130 --> 00:51:00,260
+تعرف كيف تحول التكامل هذا إلى التكامل هذا بعد هيك
+
+466
+00:51:00,260 --> 00:51:08,720
+هذا يساوي اتنين مع اتنين باربعة وهذا limit وهي
+
+467
+00:51:08,720 --> 00:51:13,860
+تكامل من zero إلى P لما P بدها تروح للـ infinity
+
+468
+00:51:14,610 --> 00:51:21,810
+شورا يقدروا في U6 و اجسم على U6 ايش بيصير؟ U6 على
+
+469
+00:51:21,810 --> 00:51:29,630
+U6 لكل تربيع زائد واحد اكس او ان شئتم فاقولوا
+
+470
+00:51:29,630 --> 00:51:36,910
+اربعة Limit لما B tends to infinity لتكامل من Zero
+
+471
+00:51:36,910 --> 00:51:45,090
+إلى B لمشتقة الـ EO6 على الـ EO6 لكل تربيع زائد واحد
+
+472
+00:51:49,150 --> 00:51:55,750
+تان انفرس ولا لا يبقى أربعة limit لما B tends to
+
+473
+00:51:55,750 --> 00:52:03,630
+infinity لتان انفرس U6 والحكي هذا كله من Zero
+
+474
+00:52:03,630 --> 00:52:09,970
+لغاية الـ B يبقى يساوي أربعة limit لما B tends to
+
+475
+00:52:09,970 --> 00:52:20,510
+infinity لمن؟ لتان انفرس E أس B ماقس تان انفرس E أس
+
+476
+00:52:20,510 --> 00:52:26,990
+Zero اللي هو بقدرش؟ E أس Zero بواحد طيب هذا الكلام
+
+477
+00:52:26,990 --> 00:52:32,470
+يساوي أربعة فيه لما الـ B بدأ تروح للمالة نهاية
+
+478
+00:52:32,470 --> 00:52:37,300
+بجتنين وسبعة من عشرة أس مالة نهاية بقدرش؟ مالة
+
+479
+00:52:37,300 --> 00:52:42,600
+نهاية تان انفرس مالة نهاية لما الـ X تروح لـ المالة
+
+480
+00:52:42,600 --> 00:52:47,540
+نهاية تان انفرس رايحة لوين؟ باي على اتنين ممتاز
+
+481
+00:52:47,540 --> 00:52:53,890
+يبقى باي على اتنين و تان انفرس وانهي قداش بظل 45
+
+482
+00:52:53,890 --> 00:52:59,810
+بواحد يبقى باي على أربعة يبقى بظل أن هنا أربعة في
+
+483
+00:52:59,810 --> 00:53:05,590
+باي على أربعة و يساوي باي معناته التكامل هذا ماله
+
+484
+00:53:05,590 --> 00:53:12,190
+convert يبقى تكامل من سالب infinity إلى infinity
+
+485
+00:53:18,570 --> 00:53:26,330
+لازلنا في نفس الـ section و لما ننتهي بعد بنكمل يوم
+
+486
+00:53:26,330 --> 00:53:26,930
+غد 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/YEsPw6K7LKY_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/YEsPw6K7LKY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..764be79c6d8a66aa51a109de291653c919d4036e
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/YEsPw6K7LKY_raw.srt
@@ -0,0 +1,1948 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:10,750 --> 00:00:14,550
+بسم الله الرحمن الرحيم المرة اللى فاتت ابتدأنا فى
+
+3
+00:00:14,550 --> 00:00:19,710
+ال integral table وقلنا ان هذا النوع من المسائل مش
+
+4
+00:00:19,710 --> 00:00:24,210
+هنبحث على جلد الكتاب التكاملات اللى جيبها الكتاب
+
+5
+00:00:24,210 --> 00:00:29,710
+وانما هنستنتجها لوحدنا وبدأنا فى الأمثلة وحالينا
+
+6
+00:00:29,710 --> 00:00:35,310
+سبعة أمثلة وهذا هو المثال رقم تمانيةلو نظرتي لهذا
+
+7
+00:00:35,310 --> 00:00:39,390
+المثال المصعب الشكل تبعه اللي هو main اللي هو لن
+
+8
+00:00:39,390 --> 00:00:44,330
+ال X إذا بنشيل لن ال X وبنحطها بأي variable جديد
+
+9
+00:00:44,330 --> 00:00:51,130
+يبقى لو جيت هنا وقلت حطلي مثلا T تساوي لن ال X
+
+10
+00:00:51,130 --> 00:00:58,830
+يبقى DT بواحد على X دييبقى بدنا نشيل 1 على x dx
+
+11
+00:00:58,830 --> 00:01:03,990
+هذي ونحط بدالها dt يبقى integration اللي dt على
+
+12
+00:01:03,990 --> 00:01:09,270
+الجدر التربية اللي تلاتة زائد t تربية هذا التكامل
+
+13
+00:01:09,270 --> 00:01:14,070
+standard شفناه قبل هيك مش جديد علينا يبقى هذا main
+
+14
+00:01:14,070 --> 00:01:22,130
+sin inverse لt على جدر التلاتة زائد constant c
+
+15
+00:01:24,100 --> 00:01:28,220
+بداية المثلة بدالة X وانتهت بتي إذا بدنا نرجعها
+
+16
+00:01:28,220 --> 00:01:35,780
+بدلالة X يبقى هذا sin inverse T اللي عبارة عن لن X
+
+17
+00:01:35,780 --> 00:01:40,940
+على جدر تلاتة زائد constant C
+
+18
+00:01:44,570 --> 00:01:48,150
+هذه النقطة الأولى من هذا ال section من النقطة
+
+19
+00:01:48,150 --> 00:01:53,970
+الثانية بنجي لقواعد الاختزال يبقى بنجي لحاجة اسمها
+
+20
+00:01:53,970 --> 00:02:00,630
+some reduction formulas
+
+21
+00:02:00,630 --> 00:02:04,350
+بعض
+
+22
+00:02:04,350 --> 00:02:16,400
+قواعد الاختزال بيقول لو كانت ال Nلو كانت الـ n is
+
+23
+00:02:16,400 --> 00:02:28,320
+a positive integer positive integer then نمرة واحد
+
+24
+00:02:28,320 --> 00:02:36,240
+integration لصين to the power n xDX يساوي سالب
+
+25
+00:02:36,240 --> 00:02:42,440
+واحد على N Sine to the power N minus ال one X فيه
+
+26
+00:02:42,440 --> 00:02:51,020
+Cos X زائد N minus ال one على N تكامل Sine to the
+
+27
+00:02:51,020 --> 00:02:54,200
+power N minus اتنين X DX
+
+28
+00:02:57,790 --> 00:03:04,910
+تكامل ل cosine to the power n x dx يسوى واحد على m
+
+29
+00:03:04,910 --> 00:03:13,530
+ل cosine أس n ناقص واحد x sin x زائد n ناقص واحد
+
+30
+00:03:13,530 --> 00:03:21,770
+على m تكامل ل cosine أس n ناقص اتنين x dx النقطة
+
+31
+00:03:21,770 --> 00:03:22,570
+التالتة
+
+32
+00:03:25,010 --> 00:03:35,970
+لتكامل تان أس ان اكس دي اكس يساوي الهمين واحد على
+
+33
+00:03:35,970 --> 00:03:44,210
+ان ناقص واحد تان أس ان ناقص واحد اكس ناقص تكامل
+
+34
+00:03:44,210 --> 00:03:52,330
+لتان أس ان ناقص اتنين اكس دي اكسالنقطة الرابعة
+
+35
+00:03:52,330 --> 00:03:59,530
+والاخيرة integration ل sin to the power n x cosine
+
+36
+00:03:59,530 --> 00:04:07,850
+to the power m x في dx بده يساوي سالب sin cos n
+
+37
+00:04:07,850 --> 00:04:17,710
+minus one x cosine m plus one x على مين على n زائد
+
+38
+00:04:17,710 --> 00:04:25,820
+ال mزائد n ناقص واحد على n زائد ال m integration
+
+39
+00:04:25,820 --> 00:04:35,500
+لمن لل sin أس n ناقص اتنين x cosine أس m x dx
+
+40
+00:04:35,500 --> 00:04:44,760
+وبشرط أن ال n لا تساوي سالب m example
+
+41
+00:04:49,620 --> 00:04:57,280
+يحسبلي the following integrals
+
+42
+00:04:57,280 --> 00:05:02,060
+تكاملات
+
+43
+00:05:02,060 --> 00:05:09,700
+التالية تكامل الأول integration ل 10 أُس 6x dx
+
+44
+00:05:58,180 --> 00:06:05,180
+أخدنا احدى قواعد الاختزال وهي تكامل لمن؟ لان ال X
+
+45
+00:06:05,180 --> 00:06:11,200
+to the power N DX وطلعت يومها X لان X to the power
+
+46
+00:06:11,200 --> 00:06:17,960
+N ناقص تكامل لان X أسن ناقص واحد DXاليوم ان شاء
+
+47
+00:06:17,960 --> 00:06:22,060
+الله بنكمل بعض القواعد اللي طبعا في غيرهم لكن هم
+
+48
+00:06:22,060 --> 00:06:28,220
+هدول الأساسيات بدنا تكامل ل sign to the power in x
+
+49
+00:06:28,220 --> 00:06:33,420
+dx تكامل ل cosine to the power in x dx tan to the
+
+50
+00:06:33,420 --> 00:06:39,550
+power in x dx او لحاصل الضرب زي ما انت شايفطبعا
+
+51
+00:06:39,550 --> 00:06:44,690
+الزوايا كلها نفسي الزاوية لكن باختلاف في مين؟ في
+
+52
+00:06:44,690 --> 00:06:49,690
+الدوال المثلثية طبعا إن هذه مش حيال الله وإنما عدد
+
+53
+00:06:49,690 --> 00:06:54,630
+صحيح موجب لإنه عنده رقم معين بدأ تنتهي التكاملات
+
+54
+00:06:54,630 --> 00:06:58,910
+لكن لو كان السالب والله كاسري لا يمكن نخلص من
+
+55
+00:06:58,910 --> 00:07:04,610
+هالشغلة هذه، تمام؟ السؤال يبقى نطرحه كيف جبنا مين
+
+56
+00:07:04,610 --> 00:07:09,410
+التكاملات اللي عندنا هذه؟ أبداكله باستخدام التكامل
+
+57
+00:07:09,410 --> 00:07:14,770
+بالتجزيه يبقى اول section درسناه اللي هو
+
+58
+00:07:14,770 --> 00:07:20,750
+integration by parts يبقى مثلا هذه بعملها sign أس
+
+59
+00:07:20,750 --> 00:07:25,950
+N ناقص واحد فيه sign و هكذا اشي باخد U والتاني DV
+
+60
+00:07:25,950 --> 00:07:30,790
+بعد ما طبق اللي هو مرة واحدة قانون integration by
+
+61
+00:07:30,790 --> 00:07:34,860
+partsبحصل على الشكل هذا و بالمثل بالنسبة لمن؟
+
+62
+00:07:34,860 --> 00:07:41,040
+للبقية على أي حال انا مابديك تحفظ اي واحدة من هدول
+
+63
+00:07:41,040 --> 00:07:45,960
+الأربعة نهائي لكن بديك لو جابلك سؤالكيف تعرف
+
+64
+00:07:45,960 --> 00:07:50,940
+تستخدم هذه القواعد في حل السؤال اللي قدامك سواء
+
+65
+00:07:50,940 --> 00:07:54,960
+جابلك في الرياضيات جابلك في الفيزيا جابلك في أي
+
+66
+00:07:54,960 --> 00:08:01,520
+علم متعلق بمين بالتكامل فمثلا لو جاءت سيبنا هذول
+
+67
+00:08:01,520 --> 00:08:05,560
+التلاتة مباشرات sin وsin cos and tan وsin لو نظرت
+
+68
+00:08:05,560 --> 00:08:10,460
+لهذه بنسأل السؤال التالي هل هذه درسناها في section
+
+69
+00:08:10,460 --> 00:08:15,870
+8-2؟طبعا، قلنا لو كانت الأساس اتنين فرديات، واحد
+
+70
+00:08:15,870 --> 00:08:18,950
+فردي والثاني زوجي أو اتنين زوجيته، وحللنا المسائل
+
+71
+00:08:18,950 --> 00:08:22,890
+في الحالات التلاتة دول، مظبوط؟ اذا هذا بيقولك لأ
+
+72
+00:08:22,890 --> 00:08:29,930
+ممكن بقواعد الاختزال كمان انحل من انحل المثل هذه
+
+73
+00:08:30,620 --> 00:08:35,140
+لما أقول قواعد الاختزال المقصود فيه يعني لما أكمل
+
+74
+00:08:35,140 --> 00:08:41,040
+مرة الأس هنا جديش هنا نزلت الأس جديش أجال منه
+
+75
+00:08:41,040 --> 00:08:46,200
+بمقدار جديش اتنين يعني لو كانت هذه ال sign أس خمسة
+
+76
+00:08:46,450 --> 00:08:51,490
+بصير هذه الصين تكيب وكمان مرة بصير صين و بتالي
+
+77
+00:08:51,490 --> 00:08:55,450
+خلصت مسألة دي يبقى أنا بنزل الأس تبع النسبة
+
+78
+00:08:55,450 --> 00:09:00,090
+المثلثية إلى أس أصغر منه هذه العملية بسميها عملية
+
+79
+00:09:00,090 --> 00:09:05,410
+ميم عملية اختزان طب الآن بنشوف كيف بنطبق هذه
+
+80
+00:09:05,410 --> 00:09:11,750
+القواعد بقول تكامل 10 أس 6 dx بروح بطل على القاعدة
+
+81
+00:09:11,750 --> 00:09:13,990
+الرقم 3 اللي عندنا
+
+82
+00:09:19,630 --> 00:09:39,620
+5-5-2-4 يبقى هذه بدها تساوي 5-2-5x-2-4x dxالان هذا
+
+83
+00:09:39,620 --> 00:09:46,440
+الكلام بده يساوي خمس تان اص خمسة اكس ناقص بتطبق
+
+84
+00:09:46,440 --> 00:09:51,060
+عليها القاعدة اللي اختزال كمان مرة يبقى واحد علي
+
+85
+00:09:51,060 --> 00:09:52,880
+ان ناقص واحد يعني قداش
+
+86
+00:09:58,010 --> 00:10:09,530
+تلاتة يبقى تلت تان تكيب اكس ناقص تكامل تان اسم
+
+87
+00:10:09,530 --> 00:10:16,130
+ناقص اتنين بدا نقص من الأربعة اتنين اكس DX بالشكل
+
+88
+00:10:16,130 --> 00:10:24,700
+اللي عندنايبقى صارة المسألة خمس تان أس خمسة X ناقص
+
+89
+00:10:24,700 --> 00:10:31,720
+تلتان تكيب ال X ناقص في ناقص بزائد وصلنا للتكامل
+
+90
+00:10:31,720 --> 00:10:36,240
+الأخير، قدامي طريقينالطريق الأول ممكن أشيل ال 10
+
+91
+00:10:36,240 --> 00:10:41,360
+تربية و أحط بدل 6 تربية ناقص 1 و أكمل واحد تاني
+
+92
+00:10:41,360 --> 00:10:44,020
+قال لي لأ لأ ماشي احنا بنشغل بقواعد اختزال بقوله
+
+93
+00:10:44,020 --> 00:10:47,640
+نعم قال لي خليني على القواعد اختزال بقوله ماشي
+
+94
+00:10:47,640 --> 00:10:53,920
+موافقين يبقى هذا النتيجة شو النتيجة؟ بدي أقل من
+
+95
+00:10:53,920 --> 00:10:59,980
+الأس المقدره يبقى واحد على واحد يعني بواحد بضل 10
+
+96
+00:10:59,980 --> 00:11:03,960
+أس واحد Xناقص تكامل
+
+97
+00:11:16,370 --> 00:11:24,490
+يبقى النتيجة النهائية تساوي خمس tan os خمسة x ناقص
+
+98
+00:11:24,490 --> 00:11:32,230
+طول tan تكييب ال x زائد tan ال x ناقص x زائد
+
+99
+00:11:32,230 --> 00:11:37,340
+constant cيبقى هي استخدام نقاط الاختزال في الحصول
+
+100
+00:11:37,340 --> 00:11:44,720
+على التكاملة دون الرجوع إلى section 8-2 مش لازم ال
+
+101
+00:11:44,720 --> 00:11:48,940
+trigonometric integrals هي باصة قواعة الاختزال خد
+
+102
+00:11:48,940 --> 00:12:00,800
+مثال ثاني بيقول يتكامل لsin تربيع 2θ cos تكييب 2θ
+
+103
+00:12:00,800 --> 00:12:02,660
+كله في dθ
+
+104
+00:12:05,610 --> 00:12:09,310
+بعدين بطلع قواعد اختزال للأولى ولا التانية ولا
+
+105
+00:12:09,310 --> 00:12:13,850
+التالتة، لكن جاي على مين؟ على الرابع، لكن بطلع
+
+106
+00:12:13,850 --> 00:12:17,870
+بلاجة هنا اتنين ثيتا و هنا جداش، اكسي، بيه هنا
+
+107
+00:12:17,870 --> 00:12:22,650
+متغير مش ضعف المتغير، الشغل فيه ده، بشيل اتنين
+
+108
+00:12:22,650 --> 00:12:28,590
+ثيتا و بحطها بأي متغير جديداذا انا هنا لو حطيت ال
+
+109
+00:12:28,590 --> 00:12:35,610
+X يساوي اتنين ثيتا يبقى ال DX بده يساوي اتنين دي
+
+110
+00:12:35,610 --> 00:12:42,090
+ثيتا اذا ال D ثيتا بقداش بنص DX يبقى صار هذا هي
+
+111
+00:12:42,090 --> 00:12:48,690
+النص برا و تكامل sin تربيع ال X كوسين تكيب ال X في
+
+112
+00:12:48,690 --> 00:12:55,460
+DXممكن احلها بالـ trigonometric integrals زي سيكشن
+
+113
+00:12:55,460 --> 00:12:59,140
+تمانية اتنين صحيح؟ بس انا مابديش احلها زي تمانية
+
+114
+00:12:59,140 --> 00:13:02,400
+اتنين، بدي احلها بالقاعدة اللي انا حاططها دي، مش
+
+115
+00:13:02,400 --> 00:13:06,980
+هنستفيد منها، نشوف كيف نقدر نطبقها، يبقى بناء عليه
+
+116
+00:13:06,980 --> 00:13:11,520
+هذا الكلام يستوى أي نص اللي برا و أي القاعدة اللي
+
+117
+00:13:11,520 --> 00:13:17,770
+عنديبتقول بحطه سالب هاي سالب ال sign بدك اتنقص من
+
+118
+00:13:17,770 --> 00:13:24,290
+ال أس تبع واحد جداش بصير sign ال X و ال cosine بدك
+
+119
+00:13:24,290 --> 00:13:29,250
+اضيف لل أس تبع واحد بصير cosine أس جداش cosine أس
+
+120
+00:13:29,250 --> 00:13:36,750
+أربعة يبقى هنا cosine أس أربعة X مقسوما على M زائد
+
+121
+00:13:36,750 --> 00:13:44,870
+ال M يبقى 2 زائد 3إتنين زائد تلاتة زائد ال M بدي
+
+122
+00:13:44,870 --> 00:13:51,190
+أطرح منها واحد يبقى قداش واحد على مجموهم اتنين
+
+123
+00:13:51,190 --> 00:13:55,990
+زائد تلاتة في تكامل ال sign بدي أطرح منها اتنين
+
+124
+00:13:55,990 --> 00:13:57,910
+بيبقى ال sign قش قداش
+
+125
+00:14:06,370 --> 00:14:14,070
+يبقى هنا cosine تكييب ال x dx يعني بترجع الكوسين
+
+126
+00:14:14,070 --> 00:14:18,370
+زي ما كانت بالضبط تماما يبقى هاي النتيجة اللي
+
+127
+00:14:18,370 --> 00:14:24,550
+عندنا ممتاز جدا هذه جاهزة يبقى هذه كأنها ناقص عشر
+
+128
+00:14:25,110 --> 00:14:33,110
+يبقى لو جيت هنا و قلت هذه تساوي ناقص عشر sin X cos
+
+129
+00:14:33,110 --> 00:14:41,190
+أربع X هذا ال term الأول وهنا زائدوصلنا هذه اللي
+
+130
+00:14:41,190 --> 00:14:46,430
+هي الخمس وبدى اطبق قاعدة ال reduction of order
+
+131
+00:14:46,430 --> 00:14:51,730
+تبعت من؟ تبعت ال cosine برجع لل cosine اللي هي
+
+132
+00:14:51,730 --> 00:14:57,550
+القاعدة التانية دى يبقى واحد على n واحد على n
+
+133
+00:14:57,550 --> 00:15:04,240
+لمين؟ لال cosine تك هى بيبقى كده ايش؟ تلتو هنا
+
+134
+00:15:04,240 --> 00:15:11,520
+cosine تربيها ال X تطرح من الأس واحد و تضرب في sin
+
+135
+00:15:11,520 --> 00:15:18,240
+X ناقص ناقص نقص نقص نقص نقص نقص نقص نقص نقص نقص
+
+136
+00:15:18,240 --> 00:15:19,820
+نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص
+
+137
+00:15:19,820 --> 00:15:20,500
+نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص
+
+138
+00:15:20,500 --> 00:15:23,640
+نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص
+
+139
+00:15:23,640 --> 00:15:23,640
+نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص نقص
+
+140
+00:15:23,640 --> 00:15:30,000
+نقص نقص نقص نقص نقص نقص نق
+
+141
+00:15:30,370 --> 00:15:34,770
+الـ cosine اللي عندنا هنا بيطرح منها جداش اتنين
+
+142
+00:15:34,770 --> 00:15:41,490
+يبقى بتقول جداش cosine x فقط لا غير cosine ال x في
+
+143
+00:15:41,490 --> 00:15:49,050
+dx كيف؟ مثلا سالب
+
+144
+00:15:49,050 --> 00:15:53,430
+اتنين ع تلاتة كم ولا cosine ال x؟ سالب اتنين ع
+
+145
+00:15:53,430 --> 00:15:53,670
+تلاتة
+
+146
+00:16:03,350 --> 00:16:10,390
+خلّي بالك من الأول هذا النص في الكل مظبوط يبقى جان
+
+147
+00:16:10,390 --> 00:16:15,470
+على النص بالنخل لإن هنا سالب عشر وكمان هنا زائد
+
+148
+00:16:15,470 --> 00:16:21,890
+عشر زائد عشر هذا بصير عشر مظبوط تمام؟ والباقي سليم
+
+149
+00:16:21,890 --> 00:16:26,810
+مش فيه أي مشكلةيبقى النتيجة نهائية الساوية
+
+150
+00:16:33,720 --> 00:16:40,820
+هذا زائد واحد على تلاتين زائد واحد على تلاتين
+
+151
+00:16:40,820 --> 00:16:48,600
+cosine تربيه ال X في sine X هذي تدخل هنا ويبقى
+
+152
+00:16:48,600 --> 00:16:57,280
+واحد على خمستاشر يبقى زائد واحد على خمستاشر sine X
+
+153
+00:16:57,280 --> 00:16:59,900
+زائد constant C
+
+154
+00:17:02,560 --> 00:17:08,480
+طيب هنا بعدها بدك تروح تشيل كل X و تحط مكانها جدار
+
+155
+00:17:08,920 --> 00:17:15,160
+يبقى الجواب النهائي هيأخذ الشكل التالي اللي هو
+
+156
+00:17:15,160 --> 00:17:23,420
+سالب عشر صين اتنين ثيتا كوصين أس أربعة لاتنين ثيتا
+
+157
+00:17:23,420 --> 00:17:31,200
+زائد واحد على تلاتين كوصين تربية لاتنين ثيتا صين
+
+158
+00:17:31,200 --> 00:17:39,420
+اتنين ثيتازائد واحد على خمستاشر لصيني اتنين ثيتا
+
+159
+00:17:39,420 --> 00:17:46,280
+زائد constant C لحد هنا stop انتهى هذا ال section
+
+160
+00:17:46,280 --> 00:17:54,300
+ولم يبقى الا مجموعة من التمرين المطلوب حلها
+
+161
+00:18:19,590 --> 00:18:25,770
+بنروح ل section تمانية خمسة والمسائل تمانية خمسة
+
+162
+00:18:25,770 --> 00:18:31,410
+exercises هي اكتب عليك فوق يبقى exercises تمانية
+
+163
+00:18:31,410 --> 00:18:42,910
+خمسة من واحد لستة وخمسين اللي هو multiple of three
+
+164
+00:18:42,910 --> 00:18:45,830
+يبقى مضاعفات التلتة
+
+165
+00:18:49,000 --> 00:18:53,540
+بنسقل هنا ل سيكشن تمانية ستة و بنقول له مع السلامة
+
+166
+00:18:53,540 --> 00:18:59,380
+و بنروح ل تمانية سبعة مباشرة هو ال M proper
+
+167
+00:18:59,380 --> 00:19:02,280
+integrals
+
+168
+00:19:15,360 --> 00:19:18,860
+بنجلال الموضوع الـ improper integrals اللي هو
+
+169
+00:19:18,860 --> 00:19:24,380
+تكاملات المعتلة الترجمة العربية تكاملات معتلة إيش
+
+170
+00:19:24,380 --> 00:19:29,500
+يعني؟ يعني اللي فيها علة محددة نقول أه بدنا نعرف
+
+171
+00:19:29,500 --> 00:19:35,480
+ما هي هذه العلة التي بسببها حكمنا على هذا التكامل
+
+172
+00:19:35,480 --> 00:19:41,400
+أنه تكامل معتل نقول لك أه يوجد بدل العلة علتين
+
+173
+00:19:41,400 --> 00:19:46,930
+العلة الأولىإن هذا التكامل تكامل محدود وحدود
+
+174
+00:19:46,930 --> 00:19:52,070
+التكامل لم نتعودها من قبل اللي متعودينها من صفر
+
+175
+00:19:52,070 --> 00:19:56,470
+لواحد من واحد لخمسة من واحد لاثنين زي ما بدك لكن
+
+176
+00:19:56,470 --> 00:20:02,930
+هذا من constant لغاية infinity أو من سالب infinity
+
+177
+00:20:02,930 --> 00:20:08,130
+إلى constant أو من سالب infinity إلى infinityيبقى
+
+178
+00:20:08,130 --> 00:20:14,850
+هذا هو النوع الأول من أنواع التكامل المعتل إذا كان
+
+179
+00:20:14,850 --> 00:20:19,870
+التكامل المحدود أحد حدود التكامل أو كلاهما
+
+180
+00:20:19,870 --> 00:20:25,330
+infinity بسميه تكامل معتل النوع الثاني
+
+181
+00:20:27,650 --> 00:20:31,790
+التكامل عادى جدا زى ما احنا متعودين في الcalculus
+
+182
+00:20:31,790 --> 00:20:37,630
+من رقم الى رقم اخر لكن الدالة اللى بدنا نكاملها دى
+
+183
+00:20:37,630 --> 00:20:43,670
+تصبح غير معرفة عند نقطة و هذه النقطة موجودة داخل
+
+184
+00:20:43,670 --> 00:20:48,770
+فترة التكامل ان حدث ذلك بقول هذا كمان ميان
+
+185
+00:20:48,770 --> 00:20:54,220
+improper integralاليوم ان شاء الله احنا هنبقى مع
+
+186
+00:20:54,220 --> 00:20:59,040
+الحالة الأولى اللى هو النوع الأول و بعد هيك بننتقل
+
+187
+00:20:59,040 --> 00:21:03,040
+الى النوع الثانى يبقى بدنا نعطي تعريف للحالة
+
+188
+00:21:03,040 --> 00:21:10,090
+الأولى تنين كيف بدنا نحسب هذا التكاملبنقول لك يبقى
+
+189
+00:21:10,090 --> 00:21:15,370
+هذا التكامل اللي أحد الحدود مالة نهاية أو كلاهما
+
+190
+00:21:15,370 --> 00:21:20,150
+بحاوله إلى تكامل عادي من الرقم إلى رقم يعني بشيل
+
+191
+00:21:20,150 --> 00:21:25,950
+المالة نهاية وبحط مكانها رقم وباخد ال limit لناتج
+
+192
+00:21:25,950 --> 00:21:31,010
+التكامل لما الرقم هذا يروح لوينأو لسالي بمالة
+
+193
+00:21:31,010 --> 00:21:37,030
+نهائية حسب طبيعات المسألة الكلام اللي سمعته بدنا
+
+194
+00:21:37,030 --> 00:21:42,430
+نروح نكتبه وبعد ذلك نتناقش فيه قبل أن ندخل إلى
+
+195
+00:21:42,430 --> 00:21:46,730
+الأمثلة يبقى بدنا نعطي تعريف الأول لل improper
+
+196
+00:21:46,730 --> 00:21:50,210
+integral أو النوع الأول من ال improper integral
+
+197
+00:21:50,210 --> 00:21:58,790
+يبقى definition the definite
+
+198
+00:22:04,750 --> 00:22:14,710
+التكاملات المحدودة with infinite limits
+
+199
+00:22:14,710 --> 00:22:19,090
+of integration
+
+200
+00:22:31,840 --> 00:22:37,760
+are called improper
+
+201
+00:22:37,760 --> 00:22:45,540
+integrals
+
+202
+00:22:45,540 --> 00:22:54,180
+of type one تكاملات
+
+203
+00:22:54,180 --> 00:23:00,960
+معتلة من النوع الأول الآن كيف نحسبها؟ نمنع واحد
+
+204
+00:23:01,690 --> 00:23:10,750
+فباجي بقوله if ال f is continuous دالة متصلة على
+
+205
+00:23:10,750 --> 00:23:18,310
+الفترة من عند ال a لغاية ال infinity then تكامل من
+
+206
+00:23:18,310 --> 00:23:25,770
+a إلى infinity لل f of x dx بده يساوي ال limitلمن؟
+
+207
+00:23:25,770 --> 00:23:31,350
+لتكامل من a إلى b و لما b بدأ تروح لل infinity لل
+
+208
+00:23:31,350 --> 00:23:40,390
+f of x dx نمر اتنين if ال f is continuous على
+
+209
+00:23:40,390 --> 00:23:46,770
+الفترة اللي عندنا هذه اللي من سالب infinity لغاية
+
+210
+00:23:46,770 --> 00:23:57,190
+b then تكاملمن سلب infinity لغاية P لل F of X DX
+
+211
+00:23:57,190 --> 00:24:04,870
+يساوي ال limit تكامل من A إلى B لما A بدها تروح
+
+212
+00:24:04,870 --> 00:24:13,950
+إلى سالب infinity لمن؟ لل F of X في DX الحالة
+
+213
+00:24:13,950 --> 00:24:22,640
+التالتةإذا كان الـ F مستمر في سالب Infinity و
+
+214
+00:24:22,640 --> 00:24:23,460
+Infinity
+
+215
+00:24:26,420 --> 00:24:32,180
+تكامل من سالب Infinity إلى Infinity لل F of X DX
+
+216
+00:24:32,180 --> 00:24:41,300
+يسوى تكامل من سالب Infinity إلى A لل F of X DX أو
+
+217
+00:24:41,300 --> 00:24:50,440
+لـ C مثلا زائد تكامل من C إلى Infinity لل F of X
+
+218
+00:24:50,440 --> 00:24:51,400
+DX
+
+219
+00:24:54,580 --> 00:24:59,100
+كمان تعريف definition طبعا حرج على كل واحدة فيهم
+
+220
+00:24:59,100 --> 00:25:13,980
+بالتفصيل in each of the above cases في كل حالة من
+
+221
+00:25:13,980 --> 00:25:23,300
+الحالات أعلىهم if the limit is finite if the limit
+
+222
+00:25:24,450 --> 00:25:32,850
+is finite لو كانت النهاية رقم محدد او محدودة we
+
+223
+00:25:32,850 --> 00:25:36,210
+say
+
+224
+00:25:36,210 --> 00:25:45,090
+that the
+
+225
+00:25:45,090 --> 00:25:47,090
+improper integral converts
+
+226
+00:25:58,270 --> 00:26:05,010
+الإنتقالات تتقارب تتقارب
+
+227
+00:26:05,010 --> 00:26:06,470
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب
+
+228
+00:26:06,470 --> 00:26:06,530
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب
+
+229
+00:26:06,530 --> 00:26:06,670
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب
+
+230
+00:26:06,670 --> 00:26:07,390
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب
+
+231
+00:26:07,390 --> 00:26:10,570
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب
+
+232
+00:26:10,570 --> 00:26:19,650
+تتقارب تتقارب تتقارب تتقارب تتقارب تتقارب تتق
+
+233
+00:26:21,220 --> 00:26:36,420
+وقيمة النهاية and the
+
+234
+00:26:36,420 --> 00:26:45,560
+value of the limit is the value of
+
+235
+00:26:45,560 --> 00:26:55,610
+the integralيبقى هنا قيمة main التكامل if the
+
+236
+00:26:55,610 --> 00:27:01,110
+limit fails
+
+237
+00:27:01,110 --> 00:27:09,670
+to exist the
+
+238
+00:27:09,670 --> 00:27:10,850
+improper integral
+
+239
+00:27:19,250 --> 00:27:30,690
+is called diverge is called diverge
+
+240
+00:27:30,690 --> 00:27:36,930
+خودك
+
+241
+00:27:36,930 --> 00:27:44,370
+الملاحظة البسيطة remark converge
+
+242
+00:27:44,370 --> 00:27:54,860
+زاد أو ناقصconverge زائد
+
+243
+00:27:54,860 --> 00:28:04,040
+او ناقص diverge
+
+244
+00:28:04,040 --> 00:28:07,660
+may be
+
+245
+00:28:07,660 --> 00:28:24,470
+converge or may be divergeexample determine
+
+246
+00:28:24,470 --> 00:28:28,510
+whether
+
+247
+00:28:28,510 --> 00:28:37,450
+the following improper
+
+248
+00:28:37,450 --> 00:28:42,990
+integrals
+
+249
+00:28:42,990 --> 00:28:46,370
+converge
+
+250
+00:28:47,420 --> 00:28:56,320
+or diverge
+
+251
+00:28:56,320 --> 00:29:04,340
+التكامل الأول integration من zero إلى infinity إلى
+
+252
+00:29:04,340 --> 00:29:12,640
+ستة عشر تان inverse x على واحد زائد x تربيع dx
+
+253
+00:29:31,110 --> 00:29:39,590
+fails to exist يعني مش موجودة ماقدرنا عشان وجدها
+
+254
+00:29:39,590 --> 00:29:57,890
+تبقى
+
+255
+00:29:57,890 --> 00:30:03,500
+هذا section very importantمهم جدا لو هي منبهك من
+
+256
+00:30:03,500 --> 00:30:08,560
+الآن فصاعدا لامتحان الثاني فيه سؤال عليه قبل ما
+
+257
+00:30:08,560 --> 00:30:11,840
+نكتب ولا حرف لسه في الإبداع ولا نعرف ايش شكله
+
+258
+00:30:11,840 --> 00:30:19,520
+النظر لأهمية هذا ال section فيه سؤال عليه كيف؟
+
+259
+00:30:19,520 --> 00:30:27,200
+مش سامع؟ ايش الخمسة عشر؟ انا قلت من الخمسة عشر ولا
+
+260
+00:30:27,200 --> 00:30:33,460
+جيب السبت عشر؟هذا ده قولت خمساش و لا ستاش؟
+
+261
+00:30:52,100 --> 00:30:56,300
+هذا ال section يا شباب يختلف عن ال sections
+
+262
+00:30:56,300 --> 00:31:02,160
+السابقة طبعا اول مرة بيقابلنا انه احد حدود التكامل
+
+263
+00:31:02,160 --> 00:31:07,240
+بمالة نهاية او سالب مالة نهاية بكالكولاس A و
+
+264
+00:31:07,240 --> 00:31:11,300
+كالكولاس B حتى الان لم نراهم من قبل و انما ابتداء
+
+265
+00:31:11,300 --> 00:31:15,680
+من اليوم ولذلك من اليوم لغاية اربعين يوم جاية ان
+
+266
+00:31:15,680 --> 00:31:21,800
+شاء الله واحنا بنتكلم عن كلمتينكلمة converge و
+
+267
+00:31:21,800 --> 00:31:24,760
+diver يعني ال section هذا و ال chapter اللي جاي
+
+268
+00:31:24,760 --> 00:31:29,660
+كله مركب على الكلمتين هدول طبعا طيب قبل ما نوصل
+
+269
+00:31:29,660 --> 00:31:35,120
+لهم خلينا نبدأ الموضوع من أوله يبقى هذا ال section
+
+270
+00:31:35,120 --> 00:31:40,680
+هنقسمه إلى ثلاث نقاط رئيسة النقطة الأولى اللي هو
+
+271
+00:31:40,680 --> 00:31:44,830
+ال improper integral from type oneالنقطة التالتة
+
+272
+00:31:44,830 --> 00:31:53,850
+الاختبارات
+
+273
+00:31:53,850 --> 00:31:57,510
+اللي ممكن استخدمها في الحكم على هذا التكامل
+
+274
+00:31:57,510 --> 00:32:02,630
+converge و لا diverge بدون إجراء عملية التكامل
+
+275
+00:32:02,630 --> 00:32:07,210
+خلّينا اليوم فقط مع النقطة الأولىفاجب أقول
+
+276
+00:32:07,210 --> 00:32:11,830
+التكاملات المحدودة within finite limits of
+
+277
+00:32:11,830 --> 00:32:15,910
+integration حدود التكامل مشتملة على ال infinity
+
+278
+00:32:15,910 --> 00:32:21,810
+يعني من constant إلى infinity إلى f of x dx من
+
+279
+00:32:21,810 --> 00:32:25,810
+سالب infinity إلى constant إلى f of x dx من سالب
+
+280
+00:32:25,810 --> 00:32:29,930
+infinity إلى موجب infinity إلى f of x dx هدول
+
+281
+00:32:29,930 --> 00:32:34,180
+التلاتة هدولكلهم ما سميهم improper integrals of
+
+282
+00:32:34,180 --> 00:32:39,060
+type one من النوع الأول.الان كيف بنحسب هذه
+
+283
+00:32:39,060 --> 00:32:42,660
+التكاملات؟ نجيل النقطة الأولى، إذا الدالة دالة
+
+284
+00:32:42,660 --> 00:32:47,080
+متصلة على الفترة، طب ليش دالة متصلة؟ يعني ضروري؟
+
+285
+00:32:47,080 --> 00:32:51,760
+آه الإجابة ضروري، مش أن تكون التكامل exist، يجب أن
+
+286
+00:32:51,760 --> 00:32:56,760
+تكون الدالة المراد تكاملها هي دالة متصلةوقددرسنا
+
+287
+00:32:56,760 --> 00:33:01,560
+في ال calculus إيه؟ إن ال existence للتكامل بيحدث
+
+288
+00:33:01,560 --> 00:33:07,460
+إذا كانت الدالة دالة متاصلة تمام تمام إذا هذا شرط
+
+289
+00:33:07,460 --> 00:33:11,640
+ضروري حتى التكامل يكون existence على أي حال إذا
+
+290
+00:33:11,640 --> 00:33:15,120
+الدالة دالة متاصلة على الفترة هذه بتكامل من a إلى
+
+291
+00:33:15,120 --> 00:33:19,580
+infinity إلى f of x dx بديها حسمة الجديدة عليها
+
+292
+00:33:19,580 --> 00:33:24,780
+مين؟ اللي هي ال infinity بقول بسيطةحط تكامل من A
+
+293
+00:33:24,780 --> 00:33:28,560
+الى B يعني شيلنا ال infinity و حطينا مكانها مين؟ B
+
+294
+00:33:28,560 --> 00:33:32,660
+و روحنا كاملنا الدلق و روح بعوض بالقيم اللى فوق
+
+295
+00:33:32,660 --> 00:33:38,200
+ناقص لتحت بتطلع نتيجة بدللة B بعد ما تطلع بدللة B
+
+296
+00:33:38,200 --> 00:33:43,340
+بدي أخد ال limit لما B بدي تروح للمال انها قيمة ال
+
+297
+00:33:43,340 --> 00:33:49,220
+limit اللى بتطلع هذه بتكون هي قيمة التكامل طب هذا
+
+298
+00:33:49,220 --> 00:33:53,080
+الحالة الأولى الحالة التانيةالدالة المتصلة على
+
+299
+00:33:53,080 --> 00:33:56,820
+الفترة من سالب infinity لغاية بيه يبقى integration
+
+300
+00:33:56,820 --> 00:34:01,840
+من سالب infinity ل بيه ل DX بدي اشيل سالب infinity
+
+301
+00:34:01,840 --> 00:34:07,220
+و احط مكانها ايه و خلي ايه تروح لسالب infinity
+
+302
+00:34:07,220 --> 00:34:11,440
+يبقى بدي اكمل الدالة و اعوض بالحدود من ايه طبع
+
+303
+00:34:11,440 --> 00:34:11,980
+الرقم
+
+304
+00:34:29,490 --> 00:34:36,210
+أفترض التكامل من سالب infinity إلى infinityمن خواص
+
+305
+00:34:36,210 --> 00:34:39,910
+التكم المحدود أنه يمكن تجزيه إلى جزئين لتلاتة
+
+306
+00:34:39,910 --> 00:34:44,770
+لاربعة جد ما بدك احنا بيقول مكف جزء لوين إلى جزئين
+
+307
+00:34:44,770 --> 00:34:50,150
+من سالب Infinity إلى C ومن C إلى Infinity لو جيت
+
+308
+00:34:50,150 --> 00:34:54,710
+للأولى هي الحالة التانية، ولو جيت للتانية هذه هي
+
+309
+00:34:54,710 --> 00:34:58,770
+الحالة الأولى اللى فوق، مظبوط ولا لا؟يبقى بعمل كل
+
+310
+00:34:58,770 --> 00:35:03,030
+واحدة بالحالتين للاتنين، هو كأن الحالة التالتة
+
+311
+00:35:03,030 --> 00:35:08,470
+بتشمل الحالة الأولى والحالة الثانية، يبقى في هذه
+
+312
+00:35:08,470 --> 00:35:13,250
+الحالة حسب التكمل، في احتمال لمن أجي أحسب ال
+
+313
+00:35:13,250 --> 00:35:17,400
+limit، ال limit تطلع قيمة عدديةو احتمال تطلع does
+
+314
+00:35:17,400 --> 00:35:21,960
+not exist او infinity او سالب infinity على كل
+
+315
+00:35:21,960 --> 00:35:27,680
+الأمرين بقول ال limit does not exist وبالتالي اذا
+
+316
+00:35:27,680 --> 00:35:32,600
+طلعت ال limit قيمة عددية بقول عن التكامل converge
+
+317
+00:35:32,600 --> 00:35:36,860
+واذا ال limit طلعت ماله نهاية او does not exist
+
+318
+00:35:36,860 --> 00:35:41,010
+بقول التكامل ماله diverseconverge بالعربي يعني
+
+319
+00:35:41,010 --> 00:35:46,630
+تقارب التكامل هيصل إلى رقم محدد diverge يبقى الله
+
+320
+00:35:46,630 --> 00:35:52,790
+سهل عليه تباعد لا يمكن نقدر نلحقه تمام؟ كويس يبقى
+
+321
+00:35:52,790 --> 00:35:57,570
+هذه كلمة converge و diverge بدأت من الآن تطرق
+
+322
+00:35:57,570 --> 00:36:02,190
+أسماءنا فبعدين بقول في كل حالة من الحالات اللي فوق
+
+323
+00:36:02,190 --> 00:36:07,310
+إذا ال limit كانت finite يعني سوى رقم محدد بقول
+
+324
+00:36:07,310 --> 00:36:12,770
+التكامل convergeوفي هذه الحالة قيمة ال limit بتكون
+
+325
+00:36:12,770 --> 00:36:17,230
+هي القيمة الحقيقية تبع تمين التكامل إذا ليه ال
+
+326
+00:36:17,230 --> 00:36:20,450
+limit failed to exist يبقى التكامل بيقول عليه معنى
+
+327
+00:36:20,450 --> 00:36:25,630
+diverse طيب افترض انه عندي انا الحالة التالتة اللي
+
+328
+00:36:25,630 --> 00:36:30,110
+بتشمل الأولى والثانية يبقى صار عندي بدل التكامل
+
+329
+00:36:30,110 --> 00:36:34,610
+قداش اتنين في احتمال الأول التكامل يطلع converge
+
+330
+00:36:34,610 --> 00:36:39,150
+والتاني convergeيبقى ما جمعهما أو الفرق فيه ما
+
+331
+00:36:39,150 --> 00:36:42,690
+بينهما يطلع لإنه رقم، ناقص أو زاد رقم، ممكن يعطينا
+
+332
+00:36:42,690 --> 00:36:47,690
+رقم، مظبوط، يبقى التكامل convergeاحتمال واحد
+
+333
+00:36:47,690 --> 00:36:52,430
+converge يعني رقم والتاني diverge الله يسهل عليه،
+
+334
+00:36:52,430 --> 00:36:55,630
+يبقى إيش بتطلع النتيجة على بعضها؟ divergence إن
+
+335
+00:36:55,630 --> 00:36:59,010
+المالة نهاية، تجمعلها رقم، بتطلع منها رقم، بتعطيه
+
+336
+00:36:59,010 --> 00:37:04,930
+قدرش طيب الاحتمال الثالث ان التكمل أول diverge
+
+337
+00:37:04,930 --> 00:37:10,390
+والتاني diverge اللي في هذه الحالة احتمال النتج
+
+338
+00:37:10,390 --> 00:37:14,850
+يكون diverge واحتمال يكونconverge يبقى ليه
+
+339
+00:37:14,850 --> 00:37:20,150
+احتمالين وردات يبقى باجي بقوله هذا maybe converge
+
+340
+00:37:20,150 --> 00:37:24,930
+or maybe diverge يعني نتيجة التكاملقد يكون تباعدي
+
+341
+00:37:24,930 --> 00:37:31,330
+وقد يكون تقاربي طبعا لأول وهلة حيقول بعض الشباب
+
+342
+00:37:31,330 --> 00:37:35,710
+منكم معقول يكونوا اثنين diverge ويصير المجموع
+
+343
+00:37:35,710 --> 00:37:41,310
+تبعهم converge ويقولك نعم هذا الكلام ممكن وسنثبتهه
+
+344
+00:37:41,310 --> 00:37:45,490
+مش هنطول عليك يعني بس في ال section الجاية نعطيك
+
+345
+00:37:45,490 --> 00:37:49,670
+أمثلة عددية كيف diverge و divergence خلالها cash
+
+346
+00:37:49,670 --> 00:37:54,590
+converge احنا مجرد معلوم بالدنياكلذقة في دماغك من
+
+347
+00:37:54,590 --> 00:37:57,970
+هنا و للشبكة الرجاية كمان هذا مش عجب ال section
+
+348
+00:37:57,970 --> 00:38:03,630
+هذا تمام يبقى نتيجة ال limit والله إذا كانت
+
+349
+00:38:03,630 --> 00:38:08,790
+converge يبقى قيمة ال limit هي قيمة التكامل إذا ال
+
+350
+00:38:08,790 --> 00:38:11,750
+limit كانت ضخمة exactly بتاكمه اللي بقول عنه
+
+351
+00:38:11,750 --> 00:38:17,250
+diverse يعني ماعنديش قيمة محددة لمين لهذا التكامل
+
+352
+00:38:17,250 --> 00:38:23,190
+أجبنا على سؤالك؟ الحمد للهطيب يبقى بدنا ناخد أمثلة
+
+353
+00:38:23,190 --> 00:38:31,090
+تطبيقية للكلام اللي احنا بنقوله ايوه اذا طلع رقم
+
+354
+00:38:31,090 --> 00:38:35,970
+بقول قيمة التكامل تسوي هذا الرقم وبالتالي التكامل
+
+355
+00:38:35,970 --> 00:38:39,590
+convert واذا طلع infinity والله فادي exist ال
+
+356
+00:38:39,590 --> 00:38:43,410
+limit بقول يبقى التكامل diverge وماعنديش أرقام
+
+357
+00:38:44,020 --> 00:38:48,620
+بيقول حدد مين من التكاملات التالية بيكون converged
+
+358
+00:38:48,620 --> 00:38:53,060
+ومين من التكاملات التالية بيكون diverged بقوله
+
+359
+00:38:53,060 --> 00:38:58,080
+كويس المثل اللي عندنا هذه بطلع هل هو improper
+
+360
+00:38:58,080 --> 00:39:02,320
+integral لو لأ بطلع لحدود التكامل أحد الحدود
+
+361
+00:39:02,320 --> 00:39:07,850
+infinityيبقى هذا improper integral يبقى باجي بقوله
+
+362
+00:39:07,850 --> 00:39:14,250
+هاي ال 16 برا وهذا ال limit و تكامل من zero إلى B
+
+363
+00:39:14,250 --> 00:39:20,650
+و بده اخلى B تروح لوين؟ للماء لنهاية وهذه tan
+
+364
+00:39:20,650 --> 00:39:24,390
+inverse X واش رأيك في هذه؟
+
+365
+00:39:30,470 --> 00:39:40,450
+يبقى هذه مشتقة تان inverse X وكأن واحدة بنكامل WDW
+
+366
+00:39:40,450 --> 00:39:45,870
+يبقى بدنا نضيف للأس واحد ونقسم على الأس الجديد
+
+367
+00:39:45,870 --> 00:39:51,570
+يبقى هذه الست عشر وهذا ال limit لما B tends to
+
+368
+00:39:51,570 --> 00:39:55,970
+infinity لمن لتان
+
+369
+00:39:56,720 --> 00:40:02,640
+Inverse X الكل تربيع على اتنين و الكلام هذا من
+
+370
+00:40:02,640 --> 00:40:08,980
+Zero لغاية جداش لغاية B طيب هذا بده يساوي هاي
+
+371
+00:40:08,980 --> 00:40:15,160
+الستاش برا و هذا limit لما B تنسو Infinity بتعوض
+
+372
+00:40:15,160 --> 00:40:21,900
+بالقيمة اللي فوق يبقى Tan Inverse B الكل تربيع
+
+373
+00:40:21,900 --> 00:40:27,510
+ناقص Tan Inverseطبعا على اتنين يا شباب بيصير هذه
+
+374
+00:40:27,510 --> 00:40:33,530
+كده؟ تمانية بدل الست عشر بيصير هذه تمانية و بيصير
+
+375
+00:40:33,530 --> 00:40:40,010
+هذا لاقص ten inverse zero شكل الانان كده تان انفرز
+
+376
+00:40:40,010 --> 00:40:45,350
+زيرو؟ زيرو تمام نيجي ل ten inverse بيه؟ بيه وين
+
+377
+00:40:45,350 --> 00:40:49,930
+بدها تروح؟ عند المال نهاية كدهش بيصير ال ten
+
+378
+00:40:49,930 --> 00:40:56,280
+inverse؟بايع اتنين اقصى قيمة بتاخدها بايع اتنين و
+
+379
+00:40:56,280 --> 00:41:01,900
+اقل قيمة سالب بايع على اتنين يبقى هذه بدها تساوي
+
+380
+00:41:01,900 --> 00:41:09,120
+تمانية في بايع على اتنين لكل تربيع يعني اتنين بايع
+
+381
+00:41:09,120 --> 00:41:16,860
+تربيع طلعت النتيجة عند الرقم يبقى التكاملقيمة
+
+382
+00:41:16,860 --> 00:41:21,080
+التكامل هو الرقم اللي طلع وبالتالي بقول له so
+
+383
+00:41:21,080 --> 00:41:29,160
+تكامل من zero ل infinity ل 16 tan inverse x على 1
+
+384
+00:41:29,160 --> 00:41:35,820
+زيد x تربية dx converge وانتهينا من هذه المسألة
+
+385
+00:41:53,630 --> 00:42:03,370
+بناخد كمان مثال يبقى example two بدنا تكامل من
+
+386
+00:42:03,370 --> 00:42:11,070
+اتنين الى infinity لل اتنين على x تربية ناقص x dx
+
+387
+00:42:11,070 --> 00:42:20,240
+فالليلي في السؤال كويس الدالة مش معرفة وينعند الـ
+
+388
+00:42:20,240 --> 00:42:25,280
+Zero وعند الواحد عند Zero وواحد هنا يبقى دول برا
+
+389
+00:42:25,280 --> 00:42:29,140
+منطقة التكامل إذا ماليش علاقة فيهم إذا هذا
+
+390
+00:42:29,140 --> 00:42:34,080
+improper فقط بسبب وجود main ال infinity إذا بقول
+
+391
+00:42:34,080 --> 00:42:40,140
+له هذا الكلام يساوي يتنين خليك برا وhigh limit
+
+392
+00:42:40,140 --> 00:42:46,640
+ويتكامل من اتنين ل B لما B بدأ تروح لل infinity
+
+393
+00:42:46,640 --> 00:42:51,920
+لمن؟ لواحد علىكيف بدنا نكملها يا شباب لو بدنا
+
+394
+00:42:51,920 --> 00:42:57,400
+نكملها؟ بدل
+
+395
+00:42:57,400 --> 00:43:03,320
+الطريقة طرق اكمل المرضع بتحل المثلة ممكن ناخد X
+
+396
+00:43:03,320 --> 00:43:06,360
+عامل ومشترك وناخد X نقص واحد ونعمل ال partial
+
+397
+00:43:06,360 --> 00:43:12,840
+fraction بنحل المشكلة تمام؟ واحد اه مية المية وجهة
+
+398
+00:43:12,840 --> 00:43:16,870
+نظر تالتةبنقول اللي بيداخد x² عامل مشترك ونقول له
+
+399
+00:43:16,870 --> 00:43:24,690
+كويس يفجأ ال x² عامل مشترك بيظل 1-1 على x كله في
+
+400
+00:43:24,690 --> 00:43:33,190
+dxيبقى بناء عليه بدي أشيل كل المقدار بين القوسين و
+
+401
+00:43:33,190 --> 00:43:39,950
+أحطه بمين بمتغير اخر لو حطيت T تسوى واحد نقص واحد
+
+402
+00:43:39,950 --> 00:43:46,650
+على X يبقى DT بواحد على X تربية DX إذا واحد على X
+
+403
+00:43:46,650 --> 00:43:53,900
+تربية DX بدي أشيل وقته بدل جداش DTيبقى اتنين limit
+
+404
+00:43:53,900 --> 00:44:01,500
+لما B تنزل إلى infinity لتكامل DT على T فقط لغير
+
+405
+00:44:01,500 --> 00:44:06,000
+يبقى مش هاد السلم ال partial fractions تعويضة إلى
+
+406
+00:44:06,000 --> 00:44:10,300
+وجه الدوري بس دير بالك اصحى تلعب في حدود التكامل
+
+407
+00:44:10,300 --> 00:44:13,780
+لإن إذا غيرتهم فتبقى التعويضة تغير ال index اللي
+
+408
+00:44:13,780 --> 00:44:18,330
+تحت limit كمانيبقى مشان هيك لأ خلّي كل شيء .. وبعد
+
+409
+00:44:18,330 --> 00:44:22,410
+ما كامل برجعها إلى مين؟ إلى أصلها وبالتالي ضمنت أن
+
+410
+00:44:22,410 --> 00:44:28,630
+لا يكون هناك خطأيبقى باجي بقول هذا اتنين limit لما
+
+411
+00:44:28,630 --> 00:44:34,530
+B tends to infinity تكامل هذه لين absolute value ل
+
+412
+00:44:34,530 --> 00:44:40,310
+T يعني اتنين limit لما B tends to infinity ل لين
+
+413
+00:44:40,310 --> 00:44:45,690
+absolute value ل T لواحد ناقص واحد على X والحكي
+
+414
+00:44:45,690 --> 00:44:51,770
+هذا كله من عند اتنين لغاية Bيبقى رجعتها بدلالة ال
+
+415
+00:44:51,770 --> 00:44:57,650
+X و رجعت حدود التكامل كما هي يبقى اتنين limit لما
+
+416
+00:44:57,650 --> 00:45:01,810
+B tends to infinity بدنا نعوض بالقيمة اللي فوق
+
+417
+00:45:01,810 --> 00:45:08,590
+واحد ناقص واحد على B ناقص لان واحد ناقص واحد على
+
+418
+00:45:08,590 --> 00:45:14,990
+اتنين هذا الكلام يساوى اتنين في أبصر جداشي هذا كله
+
+419
+00:45:14,990 --> 00:45:18,230
+بدأ أحط ال B ب infinity واحد على infinity
+
+420
+00:45:27,950 --> 00:45:39,510
+نقص نقص نقص نقص نقص نقص
+
+421
+00:45:39,510 --> 00:45:40,930
+نقص
+
+422
+00:45:56,680 --> 00:45:59,480
+تكامل التالت
+
+423
+00:46:03,350 --> 00:46:13,570
+بنى integration من سلب infinity لغاية سلب واحد على
+
+424
+00:46:13,570 --> 00:46:22,270
+الجذر التالت ل X ناقص واحد كله بالنسبة ل DX
+
+425
+00:46:41,390 --> 00:46:48,330
+بنفس الطريقة الدالة غير معرفة عند مين الواحد برا
+
+426
+00:46:48,330 --> 00:46:52,750
+تكامل برا فاتقى ده ماليش علاقة فيه يبقى باجي بقوله
+
+427
+00:46:52,750 --> 00:46:59,010
+هذا الكلام بده يساوي limit وهي تكامل من a لغاية
+
+428
+00:46:59,010 --> 00:47:05,550
+سالب واحد لما ال a بدها تروح لسالب infinity لل x
+
+429
+00:47:05,550 --> 00:47:13,280
+ناقص واحد وسالب طول dxهذا أس تلت نطلع فوق بصير أس
+
+430
+00:47:13,280 --> 00:47:18,400
+سالب تلت يبقى هذا الكلام بده يساوي ال limit لما
+
+431
+00:47:18,400 --> 00:47:23,980
+ايه بدها تروح لسالب infinity هذا زي Y أس سالب تلت
+
+432
+00:47:23,980 --> 00:47:28,380
+بس بنضيف للأس واحد بنقسم على الأس الجديد لأن معامل
+
+433
+00:47:28,380 --> 00:47:33,840
+X هو الواحد الصحيح هو المعادلة من الدرجة الأولى
+
+434
+00:47:34,180 --> 00:47:43,380
+يبقى هذا بيصير x ناقص واحد قص طولتين على طولتين و
+
+435
+00:47:43,380 --> 00:47:48,620
+الحكي هذا كله من عند ال a لغاية ناقص واحد إذا ان
+
+436
+00:47:48,620 --> 00:47:54,140
+النتيجة تساوي تلاتة على اتنين هي ضارة و هذا ال
+
+437
+00:47:54,140 --> 00:48:00,540
+limit لما ال a بدها تروح لسالب infinity و القيمة
+
+438
+00:48:00,540 --> 00:48:06,140
+اللي فوق ناقص واحد ناقصت واحدبظل ناقص اتنين الجذر
+
+439
+00:48:06,140 --> 00:48:12,800
+التالت لناقص اتنين تربيع يبقى الجذر التالت لاربعة
+
+440
+00:48:12,800 --> 00:48:17,900
+هذا التعويض بالقيمة اللي فوق ناقص القيمة اللي تحت
+
+441
+00:48:17,900 --> 00:48:25,900
+اللي هو ال a ناقص واحد أس تلتين طيب هذا الكلام بده
+
+442
+00:48:25,900 --> 00:48:33,400
+يساوي تلاتة في الجذر التالت لاربعة ناقصطلعلي هنا
+
+443
+00:48:33,400 --> 00:48:39,040
+كويس، هنا ايه بتروح لمين؟ لسلب infinity، ولو جينا
+
+444
+00:48:39,040 --> 00:48:45,320
+عوضنا سلب infinity سلب واحد سلب infinity الجذر
+
+445
+00:48:45,320 --> 00:48:50,860
+التالت لسلب infinity تربيع موجة ب infinity تحت
+
+446
+00:48:50,860 --> 00:48:55,660
+الجذر التالت ب infinity، وفي عندي إشارة سلب برا،
+
+447
+00:48:55,660 --> 00:49:04,220
+بصير سلب infinityمرة تانية، مرة تانية، هذه زي ما
+
+448
+00:49:04,220 --> 00:49:08,620
+هي، كويس؟ و جينا ليها دي، خلينا ليها تروح لسالب
+
+449
+00:49:08,620 --> 00:49:13,360
+infinity، يبقى ده كله بسالب infinity الجذر التالت
+
+450
+00:49:13,360 --> 00:49:19,170
+لسالب infinity تاربية يعني موجبوعندي إشارة سالب
+
+451
+00:49:19,170 --> 00:49:25,690
+برا بصير سالب infinity سالب infinity زاد رقم في
+
+452
+00:49:25,690 --> 00:49:31,330
+رقم بسالب infinity يبقى سالب infinity معناته
+
+453
+00:49:31,330 --> 00:49:36,450
+التكامل هذا بقى له by vir يبقى باجي بقول له so
+
+454
+00:49:36,450 --> 00:49:41,630
+تكامل من سالب infinity لسالب واحد لواحد على الجدرى
+
+455
+00:49:41,630 --> 00:49:47,550
+التالت ل X ناقص واحد DX by virالسؤال الرابع
+
+456
+00:49:47,550 --> 00:49:54,710
+والأخير على هذه المجموعة نمرة 4 تكامل من سلب
+
+457
+00:49:54,710 --> 00:50:00,330
+infinity إلى infinity لسش ال x dx
+
+458
+00:50:05,310 --> 00:50:10,750
+هذه بدأت تساوي تكامل من سلب infinity ل infinity
+
+459
+00:50:10,750 --> 00:50:18,390
+للاثنين على u ال six زايد u ناقص x dx يبقى شيلنا
+
+460
+00:50:18,390 --> 00:50:26,050
+ال six ال x و كتبناها بدلالة ال exponential الدالة
+
+461
+00:50:26,050 --> 00:50:32,330
+دي even والله اده يا شبابممتاز جدا يعني هذه بقدر
+
+462
+00:50:32,330 --> 00:50:37,230
+اقول التكامل على نص الفترة وبالتالي اختصرت بدل ما
+
+463
+00:50:37,230 --> 00:50:42,710
+هم تكاملين صراحة تكامل واحد يفجأ هنا بقدر اقول
+
+464
+00:50:42,710 --> 00:50:49,410
+اتنين تكامل من zero ل infinity للاتنين على EOS6
+
+465
+00:50:49,410 --> 00:50:55,130
+زائد EOS ناقص XDX وحط جمالها even function بس عشان
+
+466
+00:50:55,130 --> 00:51:00,260
+تعرفكيف تحول التكامل هذا إلى التكامل هذا بعد هيك
+
+467
+00:51:00,260 --> 00:51:08,720
+هذا يساوي اتنين مع اتنين باربعة وهذا limit وهي
+
+468
+00:51:08,720 --> 00:51:13,860
+تكامل من zero إلى P لما P بدها تروح لل infinity
+
+469
+00:51:14,610 --> 00:51:21,810
+شورا يقدروا في U6 و اجسم على U6 ايش بيصير؟ U6 على
+
+470
+00:51:21,810 --> 00:51:29,630
+U6 لكل تربيع زائد واحد اكس او ان شئتم فاقولوا
+
+471
+00:51:29,630 --> 00:51:36,910
+اربعةLimit لما B tends to infinity لتكامل من Zero
+
+472
+00:51:36,910 --> 00:51:45,090
+إلى B لمشتقة ال EO6 على ال EO6 لكل تربية زائد واحد
+
+473
+00:51:49,150 --> 00:51:55,750
+تان انفرس ولا لا يبقى أربعة limit لما B tends to
+
+474
+00:51:55,750 --> 00:52:03,630
+infinity لتان انفرس U6 والحكي هذا كله من Zero
+
+475
+00:52:03,630 --> 00:52:09,970
+لغاية ال B يبقى يساوي أربعة limit لما B tends to
+
+476
+00:52:09,970 --> 00:52:20,510
+infinityلمن؟ لتان انفرس E أس B ماقس تان انفرس E أس
+
+477
+00:52:20,510 --> 00:52:26,990
+Zero اللي هو بقدرش؟ E أس Zero بواحد طيب هذا الكلام
+
+478
+00:52:26,990 --> 00:52:32,470
+يسوى أربعة فيه لما ال B بدأ تروح للمالة نهاية
+
+479
+00:52:32,470 --> 00:52:37,300
+بجتنين وسبعة من عشرة أس مالة نهاية بقدرش؟مالة
+
+480
+00:52:37,300 --> 00:52:42,600
+نهاية تان انفرس مالة نهاية لما ال X تروح ل المالة
+
+481
+00:52:42,600 --> 00:52:47,540
+نهاية تان انفرس رايحة لوين؟ باي على اتنين ممتاز
+
+482
+00:52:47,540 --> 00:52:53,890
+يبقى باي على اتنين و تان انفرس وانهي قداشبظل 45
+
+483
+00:52:53,890 --> 00:52:59,810
+بواحد يبقى باي على أربعة يبقى بظل أن هنا أربعة في
+
+484
+00:52:59,810 --> 00:53:05,590
+باي على أربعة و يساوي باي معناته التكامل هذا ماله
+
+485
+00:53:05,590 --> 00:53:12,190
+convert يبقى تكامل من سالب infinity إلى infinity
+
+486
+00:53:18,570 --> 00:53:26,330
+لازلنا في نفس ال section و لما ننتهي بعد بنكمل يوم
+
+487
+00:53:26,330 --> 00:53:26,930
+غد
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/_bEIq5sSdXw_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/_bEIq5sSdXw_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1c171dea824419065ea0db397a6bd69edb3e3db4
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/_bEIq5sSdXw_postprocess.srt
@@ -0,0 +1,1944 @@
+1
+00:00:10,980 --> 00:00:15,240
+المرة اللي فاتت كنا بنتكلم عن معكوس الدلة و آخر
+
+2
+00:00:15,240 --> 00:00:20,340
+حاجة أخدناها في نهاية المحاضرة الماضية مشتقة معكوس
+
+3
+00:00:20,340 --> 00:00:26,000
+الدلة بدون الحصول على معكوس الدلة و كانت آخر صيغة
+
+4
+00:00:26,000 --> 00:00:34,830
+كانت لهذه المشتقة هي كالتاليDF inverse على DX
+
+5
+00:00:34,830 --> 00:00:44,130
+عندما ال X تساوي P اللي F of A يساوي واحد على DF
+
+6
+00:00:44,130 --> 00:00:52,530
+على DX لما ال X يساوي A او انشئتم فقولوا F inverse
+
+7
+00:00:52,530 --> 00:00:58,170
+of Bلكن لم ناخد أي مثال على هذه النقطة في المحاضرة
+
+8
+00:00:58,170 --> 00:01:02,410
+الماضية لإن انتهى الوقت لإن بناخد أمثل عالمين على
+
+9
+00:01:02,410 --> 00:01:07,490
+هذه النظرية السؤال بيبقى بيعطيني f of x يستوي x
+
+10
+00:01:07,490 --> 00:01:13,590
+تربية نقص 4 x نقص 5 وبيعطيني condition إن x أكبر
+
+11
+00:01:13,590 --> 00:01:19,630
+من 2طبعا ال condition هذا ضروري جدا ليش؟ لأن هذه
+
+12
+00:01:19,630 --> 00:01:24,130
+معادلة Parabola بس معمولة لها shift و ال Parabola
+
+13
+00:01:24,130 --> 00:01:28,830
+لو رسمت horizontal line بيقطع المنحنة في نقطتين
+
+14
+00:01:28,830 --> 00:01:33,450
+وبالتالي بتبطل صيد الدالة one to one لكن وجود هذا
+
+15
+00:01:33,450 --> 00:01:38,010
+ال condition بيشيل نص الرسم و بيظل نصها فقط
+
+16
+00:01:38,010 --> 00:01:41,470
+وبالتالي اي horizontal line بدي يقطع المنحنة في
+
+17
+00:01:41,470 --> 00:01:46,050
+نقطتينو 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1
+
+18
+00:01:46,050 --> 00:01:52,850
+و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و
+
+19
+00:01:52,850 --> 00:01:53,950
+1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1
+
+20
+00:01:53,950 --> 00:01:55,290
+و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و
+
+21
+00:01:55,290 --> 00:01:55,610
+1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1
+
+22
+00:01:55,610 --> 00:01:55,630
+و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و
+
+23
+00:01:55,630 --> 00:02:04,970
+1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و 1 و
+
+24
+00:02:04,970 --> 00:02:12,460
+1 و 1 و 1فى دومين ال F انمرس وهى فى range ال F لكن
+
+25
+00:02:12,460 --> 00:02:16,520
+اللى موجود فى دومين ال F مين؟ اللى هى الخمسة لإن F
+
+26
+00:02:16,520 --> 00:02:20,900
+of خمسة معته خمسة فى دومين ال F F of خمسة تساوي
+
+27
+00:02:20,900 --> 00:02:25,460
+Zero يبقى ال Zero فى range ال Fيبقى في domain ال F
+
+28
+00:02:25,460 --> 00:02:30,080
+inverse ممتاز جدا مثل هذا النوع من الأمثل يعتبر من
+
+29
+00:02:30,080 --> 00:02:35,260
+المسائل السهلة لأنه أعطاني ال zero هنا و أعطاني شو
+
+30
+00:02:35,260 --> 00:02:39,320
+الأصل تبعها ممكن يعطينا ال zero ومايعطانيش الأصل
+
+31
+00:02:39,320 --> 00:02:46,240
+تبعها ويطلب مني إيجاد هذا الأصل كما سنرى بعد قليل
+
+32
+00:02:46,240 --> 00:02:50,940
+ان شاء اللهيبقى بالذاتي للحل بدأ اطبع في القاعدة
+
+33
+00:02:50,940 --> 00:02:57,720
+اللي قدامي هذه تماما فبقى بقوله df inverse على dx
+
+34
+00:02:57,720 --> 00:03:03,820
+لما ال x تساوي zero تساوي f of خمسة يبقى هذا
+
+35
+00:03:03,820 --> 00:03:10,600
+الكلام واحد على df على dx لما ال x يساوي كده؟
+
+36
+00:03:10,600 --> 00:03:17,310
+يساوي خمسةهذا بده يساوي واحد على نشتغل دالة بنسبة
+
+37
+00:03:17,310 --> 00:03:24,950
+ال X يبقى اتنين X ناقص اربعة وين هذا لما ال X بده
+
+38
+00:03:24,950 --> 00:03:31,950
+يساوي خمسةيبقى اتنين في خمسة اللي هي عشرة ناقص
+
+39
+00:03:31,950 --> 00:03:37,290
+اربعة والجواب يساوي كده؟ سُدس يبقى قيمة مشتقة
+
+40
+00:03:37,290 --> 00:03:43,190
+المعكوس الدالة عند النقطة x يساوي زيرو بده ساوي
+
+41
+00:03:43,190 --> 00:03:48,840
+سُدس وبالتالي يجيبنا قيمة مشتقة المعكوسدون الحصول
+
+42
+00:03:48,840 --> 00:03:54,800
+على المعكوس مثل هذا النوع من الأمثلة يعتبر مثال
+
+43
+00:03:54,800 --> 00:04:09,020
+مباشر نعطيك مثال تاني example 2 بيقول
+
+44
+00:04:09,020 --> 00:04:18,650
+لنت ال f of xتساوي اللي هو اتنين اكس ناقص واحد على
+
+45
+00:04:18,650 --> 00:04:27,290
+اللي هو من اكس زائد اتنين والاكس لا تساوي سالب
+
+46
+00:04:27,290 --> 00:04:36,290
+اتنين المطلوب الاول نمر ايه show that show that
+
+47
+00:04:36,290 --> 00:04:45,920
+بيلي ان ال F inverse existsالمطلوب التاني نمره دي
+
+48
+00:04:45,920 --> 00:04:51,920
+find دي
+
+49
+00:04:51,920 --> 00:05:02,080
+اف انفرس على دي اكس at x بده يساوي at x تساوي اللي
+
+50
+00:05:02,080 --> 00:05:03,520
+هو سالب 3
+
+51
+00:05:20,690 --> 00:05:26,590
+سؤال مرة تانية سؤال بيقول خد f of x الساوية اتنين
+
+52
+00:05:26,590 --> 00:05:30,970
+x minus one على x plus two و بحيث ال x لا تساوي
+
+53
+00:05:30,970 --> 00:05:36,910
+سالب اتنين بيين لي ان المعكوس موجود اتنين بدي
+
+54
+00:05:36,910 --> 00:05:41,970
+مشتقة هذا المعكوس عند x الساوية كم؟ سالب تلاتة
+
+55
+00:05:41,970 --> 00:05:47,000
+السؤال هو هل طلب مني إيجاد المعكوس؟لو ما طلبش بس
+
+56
+00:05:47,000 --> 00:05:51,000
+طلب واشتقته مش هروح اضطح مش هجيب المعكوس وبعدين
+
+57
+00:05:51,000 --> 00:05:55,000
+اشتقه لأ ماطلبش يبقى انت بتجيب شغلة ماهياش لازمة
+
+58
+00:05:55,000 --> 00:05:59,580
+طبعا يبقى احنا في الأول بنثبت ان هذا المعكوس منه
+
+59
+00:05:59,580 --> 00:06:02,540
+موجود فبعدين بقول solution
+
+60
+00:06:06,170 --> 00:06:13,190
+لأن الـ F of X موجودة يبقى، بدأ أجيب مشتقتها، وشوف
+
+61
+00:06:13,190 --> 00:06:18,150
+مشتقتها أيش بتعطيني، وبدأ أشوف هذه المشتقة أيش
+
+62
+00:06:18,150 --> 00:06:24,770
+بتنفعني عند الحل تبع هذه المسألةطبعا هذه مشتقة
+
+63
+00:06:24,770 --> 00:06:30,610
+خارج قسم الدلتين زي ما دراسنا في calculus a المقام
+
+64
+00:06:30,610 --> 00:06:37,070
+في مشتقة البصد اللي هو بقداش باتنين ماقص البصد
+
+65
+00:06:37,070 --> 00:06:42,090
+اتنين x ماقص واحد في مشتقة المقام اللي هو بواحد
+
+66
+00:06:42,090 --> 00:06:49,730
+على مربع المقام الأصلي x زائد اتنين لكل تربيعهذا
+
+67
+00:06:49,730 --> 00:06:57,390
+الكلام بده يساوي اللي هو اتنين X زائد اربعة ماقص
+
+68
+00:06:57,390 --> 00:07:04,810
+اتنين X زائد واحد كله على X زائد اتنين لكل تربية
+
+69
+00:07:05,520 --> 00:07:12,560
+إذا أصبح عندي f prime of x يساوي
+
+70
+00:07:12,560 --> 00:07:19,980
+خمسة على x زائد اتنين لكل تربيع السؤال هو عمر هذه
+
+71
+00:07:19,980 --> 00:07:26,080
+القيمة بدأ تاخد قيمة سالبة؟أبدًا مدائمًا و أبدًا
+
+72
+00:07:26,080 --> 00:07:33,100
+موجب لنا كمية مربعة يبقى هذه أكبر من ال zero لكل
+
+73
+00:07:33,100 --> 00:07:39,060
+ال x التي لا تساوي سالب اتنين إذا المشتقة كانت
+
+74
+00:07:39,060 --> 00:07:44,580
+أكبر من ال zero يبقى الدالة ما لها increasing يبقى
+
+75
+00:07:44,580 --> 00:07:49,420
+هذا بدي يعطينا أن ال F is increasing
+
+76
+00:07:51,130 --> 00:07:55,630
+الدالة increasing يبقى هذا بدي يعطينا ان ال F is
+
+77
+00:07:55,630 --> 00:08:01,730
+one to one يبقى هذا بدي يعطيك ان ال F is one to
+
+78
+00:08:01,730 --> 00:08:09,570
+one هذا بدي يعطيك ان ال F inverse exists تمام
+
+79
+00:08:09,570 --> 00:08:15,010
+انتهينا من المطلوب الأول تبع المثلة وهو أثبتنا ال
+
+80
+00:08:15,010 --> 00:08:19,670
+existence تبع المعكوس عن طريق المشتقة
+
+81
+00:08:21,700 --> 00:08:28,180
+قال لهاتلي مشتقة معكوس الدالة عندها x يساوي سالب
+
+82
+00:08:28,180 --> 00:08:33,100
+تلاتة السؤال هو السالب تلاتة في دومين ال F ولا في
+
+83
+00:08:33,100 --> 00:08:37,010
+دومين ال F inverse؟فمن ال F inverse اللي جاليات
+
+84
+00:08:37,010 --> 00:08:41,290
+لمشتاقة ال F نصف عند X يسوي سلب تلاتة، إذا السلب
+
+85
+00:08:41,290 --> 00:08:45,650
+تلاتة هو element في ال domain تبع ال F inverse،
+
+86
+00:08:45,650 --> 00:08:50,270
+مضطر؟ طيب ماشي الحال، طيب هذا لما يكون في domain
+
+87
+00:08:50,270 --> 00:08:56,250
+ال F inverse يعني في ال range تبع ال Fيبقى لازم
+
+88
+00:08:56,250 --> 00:09:01,290
+تبقى قيمة في ال domain تبع ال F بتعطيني القيمة
+
+89
+00:09:01,290 --> 00:09:05,630
+اللي هي سالب تلاتة إذا بدي أبحث عن القيمة اللي
+
+90
+00:09:05,630 --> 00:09:10,110
+عندنا هذه مشان أبحث عن القيمة هذه بدي أروح أقول
+
+91
+00:09:10,110 --> 00:09:16,570
+اتنين X ناقص واحد على X زائد اتنين بدي أسويها
+
+92
+00:09:16,570 --> 00:09:17,790
+بسالب تلاتة
+
+93
+00:09:20,250 --> 00:09:24,470
+كان بإمكاني أصيلها بصيغة نفرة بدي أقول ان افترض ان
+
+94
+00:09:24,470 --> 00:09:28,910
+ال element هذا ايه اللي بيخلي الدالة هذه تساوي
+
+95
+00:09:28,910 --> 00:09:34,650
+سالب تلاتة يعني بدي أشيل كل x و أحط مكانها جداش
+
+96
+00:09:34,650 --> 00:09:42,090
+بشكل اللي عندناوبدي اعرف قداش قيمة a نقوله بسيطة
+
+97
+00:09:42,090 --> 00:09:51,470
+نظره ضارب التبادل يبقى 2a-1 يسوى سالب 3a سالب 6
+
+98
+00:09:53,810 --> 00:10:00,770
+نجيب هدول عن بعض بصير عندنا خمسة A يساوي سالب خمسة
+
+99
+00:10:00,770 --> 00:10:08,190
+يبقى ال A تساوي كده؟ سالب واحد معناه هذا الكلام ان
+
+100
+00:10:08,190 --> 00:10:15,670
+ال F of سالب واحد هو اللي بده يساوي سالب تلاتةيبقى
+
+101
+00:10:15,670 --> 00:10:20,650
+من انا علي الطلب عندي مشتقة المعكوس ان DX ساوي
+
+102
+00:10:20,650 --> 00:10:27,550
+سالب تلاتة ل F of سالب واحد يبقى السعر عندي DF
+
+103
+00:10:27,550 --> 00:10:35,180
+inverse على DX لما ال X بده ساوي سالب تلاتةتساوي F
+
+104
+00:10:35,180 --> 00:10:44,440
+of سالب واحد بده يساوي واحد على DF على DX لما ال X
+
+105
+00:10:44,440 --> 00:10:50,220
+يساوي كده؟ سالب واحد يبقى هذا الكلام بده يساوي
+
+106
+00:10:50,220 --> 00:10:59,040
+واحد علىأو المشتقة الدمش تقنعها أيه فوق؟ يبقى خمسة
+
+107
+00:10:59,040 --> 00:11:06,900
+على مين؟ على X زائد اتنين لكل تربية هذا الكلام كله
+
+108
+00:11:06,900 --> 00:11:12,020
+عند X يساوي سالب واحد. إذا لو شيلت ال X وحطيت
+
+109
+00:11:12,020 --> 00:11:15,320
+مكانها سالب واحد سالب واحد زائد اتنين بضال واحد
+
+110
+00:11:15,320 --> 00:11:19,500
+تربية اللي هو بواحد خمسة على واحد اللي بخمسة يبقى
+
+111
+00:11:19,500 --> 00:11:26,450
+الجواب يساوي جدا يساوي خمسإذا قيمة مشتقة معكوسة ده
+
+112
+00:11:26,450 --> 00:11:31,770
+اللي عندكش ساوي سالم ثلاثة هو خمس، لاحظ السؤال زي
+
+113
+00:11:31,770 --> 00:11:36,590
+السؤال اللي جابله، لكن خلّينا مجهولة قيمة اضطرنا
+
+114
+00:11:36,590 --> 00:11:41,620
+نحسبها في مين في الخطوة اللي عندنا هذهتمام؟
+
+115
+00:11:41,620 --> 00:11:45,800
+وبالتالي هذا يعتبر أصعب من مين من السؤال اللي
+
+116
+00:11:45,800 --> 00:11:51,340
+جابله لكن نفس الفكرة نعطيك كمان سؤال بنفس الطريقة
+
+117
+00:11:51,340 --> 00:11:57,640
+أو بنفس الفكرة لكن بطريقة مختلفة نوعا ما example 3
+
+118
+00:11:57,640 --> 00:12:04,020
+يقول
+
+119
+00:12:04,020 --> 00:12:07,320
+لي if g is
+
+120
+00:12:09,810 --> 00:12:22,590
+انفرس فانكشن هو انفرس فانكشن من ال F و F اربعة
+
+121
+00:12:22,590 --> 00:12:37,870
+يساري خمسة و F أربعة يساري تلتين فاند G أربعة خمسة
+
+122
+00:12:53,130 --> 00:12:58,890
+سؤال شكله مختلف كليا عالميا عن السؤال اللي جابله،
+
+123
+00:12:58,890 --> 00:13:04,350
+لكن نفس الفكرة تماما، بس امشي مع السؤال خطوة بخطوة
+
+124
+00:13:04,350 --> 00:13:10,540
+هتلاقي نفسك ماطنعتش عن فكرة السؤالين السابقينطيب
+
+125
+00:13:10,540 --> 00:13:14,960
+نبدأ نحط المعطية تانية و نشوف ما هو المطلوب بيقول
+
+126
+00:13:14,960 --> 00:13:20,920
+إذا كانت g هي معكوسة دالة f يعني g عبارة عن مين؟ f
+
+127
+00:13:20,920 --> 00:13:28,440
+inverse يبقى هنا هذا السطر كله بقدر أقول إن g of x
+
+128
+00:13:28,440 --> 00:13:35,540
+بده يساوي f inverse xطبعاً وطبعاً وطبعاً وطبعا
+
+129
+00:13:35,540 --> 00:13:40,160
+وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا
+
+130
+00:13:40,160 --> 00:13:44,600
+وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا
+
+131
+00:13:44,600 --> 00:13:46,880
+وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا
+
+132
+00:13:46,880 --> 00:13:46,960
+وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا
+
+133
+00:13:46,960 --> 00:13:58,020
+وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا وطبعا
+
+134
+00:13:58,020 --> 00:14:06,640
+وطبدي ساوي DF inverse على DX
+
+135
+00:14:10,330 --> 00:14:16,190
+جالي ايش هنا؟ بدي G prime of خمسة، اذا هذا معناه
+
+136
+00:14:16,190 --> 00:14:24,790
+ان ال G prime of خمسة بدي سوى D F inverse على DX
+
+137
+00:14:24,790 --> 00:14:30,270
+عندما ال X بدي سوى مين؟ خمسة، يبقى ال right هنا
+
+138
+00:14:30,270 --> 00:14:36,690
+صرنا كأن الجزء تبع السؤال هذا، بس مش عارفين هذيلو
+
+139
+00:14:36,690 --> 00:14:41,670
+عرفناها خلصت مسلتي تمام يبقى بناء ان علي الصعر
+
+140
+00:14:41,670 --> 00:14:48,690
+عندي ال G prime of خمسة يساوي اللي هي D F inverse
+
+141
+00:14:48,690 --> 00:14:55,230
+على DX لما ال X بده يساوي خمسة طب في عندي خمسة
+
+142
+00:14:55,230 --> 00:15:01,500
+هنا؟ اه الخمسة في ال ring تبع ال Fيعني في ال
+
+143
+00:15:01,500 --> 00:15:06,480
+domain تبع ال F inverse يبقى الخمسة دي في domain
+
+144
+00:15:06,480 --> 00:15:12,120
+ال F inverse يبقى الخمسة كده تساوي F of أربعة يبقى
+
+145
+00:15:12,120 --> 00:15:19,540
+هذه بدأت ساوية F of أربعةبناء على نص النظرية اللي
+
+146
+00:15:19,540 --> 00:15:27,520
+هم هذه يبقى يا بالكلام بده ساوية واحد على DF على
+
+147
+00:15:27,520 --> 00:15:34,930
+DX لما ال X بدها ساوية أربعةيعني هذا الكلام بدي
+
+148
+00:15:34,930 --> 00:15:39,970
+يسوى واحد على DX DX DX DX DX DX DX DX DX DX DX DX
+
+149
+00:15:39,970 --> 00:15:44,010
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+150
+00:15:44,010 --> 00:15:44,470
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+151
+00:15:44,470 --> 00:15:45,270
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+152
+00:15:45,270 --> 00:15:47,230
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+153
+00:15:47,230 --> 00:15:48,830
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+154
+00:15:48,830 --> 00:15:51,830
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+155
+00:15:51,830 --> 00:15:54,010
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+156
+00:15:54,010 --> 00:15:54,030
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+157
+00:15:54,030 --> 00:16:00,030
+DX DX DX DX DX DX DX
+
+158
+00:16:00,030 --> 00:16:04,730
+DX DX DXحسب نص النظرية يبقى 1 على دي F على دي X
+
+159
+00:16:04,730 --> 00:16:10,690
+عند X يساوي 4 يعني ايش؟ يعني مشتقة الدالة F عند X
+
+160
+00:16:10,690 --> 00:16:16,410
+يساوي 4 يعني F prime of 4 يبقى شيلناه وحاطين F
+
+161
+00:16:16,410 --> 00:16:20,210
+prime of 4 مياطين ومياطيتين في F prime of 4 تساوي
+
+162
+00:16:20,210 --> 00:16:21,910
+لقداش تلتين
+
+163
+00:16:30,460 --> 00:16:37,360
+الى الأصبع عندنا ههه ال G prime of خمسة يساوي
+
+164
+00:16:37,360 --> 00:16:46,040
+تلاتة على اتنين لهذا الشكل وهو المطلوبلحد هنا stop
+
+165
+00:16:46,040 --> 00:16:51,740
+انتهى هذا ال section ويليك أرقام المسائل يبقى
+
+166
+00:16:51,740 --> 00:16:59,980
+exercises اللي هو سبعة واحد المسائل من واحد لغاية
+
+167
+00:16:59,980 --> 00:17:03,580
+اربعة وخمسين الأد
+
+168
+00:17:31,890 --> 00:17:38,910
+الان ننتقل الى ال section الثاني section 7سبعة
+
+169
+00:17:38,910 --> 00:17:45,350
+اتنين اللي هو ال natural logarithm
+
+170
+00:17:53,650 --> 00:17:58,850
+حلقة تعريف للـ Natural logarithm نرسم هذا الـ
+
+171
+00:17:58,850 --> 00:18:03,290
+Natural logarithm ناخد بعض الخواص لهذا الـ Natural
+
+172
+00:18:03,290 --> 00:18:09,590
+logarithm يبقى الـ Definition بسيط جدا يعتمد على
+
+173
+00:18:09,590 --> 00:18:18,670
+التكامل المحدود ابدا بقول Definition The
+
+174
+00:18:18,670 --> 00:18:20,710
+natural logarithm function
+
+175
+00:18:26,400 --> 00:18:32,340
+logarithm function هدّيله
+
+176
+00:18:32,340 --> 00:18:44,060
+الرمز لإن ال X is defined as بنعرفها كتالي لإن ال
+
+177
+00:18:44,060 --> 00:18:52,020
+X بسوى تكامل من واحد ال Xلواحد على T D T وبحيث ان
+
+178
+00:18:52,020 --> 00:19:12,680
+ال X greater than 0 نرجع
+
+179
+00:19:12,680 --> 00:19:23,440
+للتعريف مرة ثانيةبقول اتدالة لغرتمية طبيعية النطق
+
+180
+00:19:23,440 --> 00:19:28,700
+الصحيح هي Alien X لكن احنا لسه هنا بنقول Alien X
+
+181
+00:19:28,700 --> 00:19:34,160
+ومشي يبقى هننطقها Alien X is defined as بنعرفها
+
+182
+00:19:34,160 --> 00:19:41,520
+كتالي Alien X هي عبارة عن تكامل من 1 ل X ل 1 على T
+
+183
+00:19:44,590 --> 00:19:48,830
+الـ X is greater than zero أكبر من الـ Zero دائما
+
+184
+00:19:48,830 --> 00:19:58,320
+و بمعنى آخر إن اللغة غير معرفة للقيمة الثالثةوكمان
+
+185
+00:19:58,320 --> 00:20:03,420
+غير معرّف لـ Zero يبقى معرّف للقيمة الموجبة فقط
+
+186
+00:20:03,420 --> 00:20:08,140
+لأنه قال لي X greater than Zero واضحة يا دي؟ طب
+
+187
+00:20:08,140 --> 00:20:12,880
+انا هرجع لها بقى تقليل قيد بمجرد النظر من الكلام
+
+188
+00:20:12,880 --> 00:20:16,140
+اللي انا جابه لما نعرف شكل الدالة ولا غيره ال
+
+189
+00:20:16,140 --> 00:20:22,000
+domain تبع الدالة هذه من وين لوين؟ من واحد لما لا
+
+190
+00:20:22,000 --> 00:20:26,530
+نهاية ال domainالـ domain هي اللي قدامك تكتب على
+
+191
+00:20:26,530 --> 00:20:31,490
+اللوحة من 0 لما انها X greater من 0 لما انها X
+
+192
+00:20:31,490 --> 00:20:32,970
+أكتر من 0 لما انها X أكتر من 0 لما انها X أكتر من
+
+193
+00:20:32,970 --> 00:20:33,230
+0 لما انها X أكتر من 0 لما انها X أكتر من 0 لما
+
+194
+00:20:33,230 --> 00:20:34,850
+انها X أكتر من 0 لما انها X أكتر من 0 لما انها X
+
+195
+00:20:34,850 --> 00:20:36,150
+أكتر من 0 لما انها X أكتر من 0 لما انها X أكتر من
+
+196
+00:20:36,150 --> 00:20:39,670
+0 لما انها X أكتر من 0 لما انها X أكتر من 0 لما
+
+197
+00:20:39,670 --> 00:20:44,530
+انها X أكتر من 0 لما انها X أكتر من 0 لما انها X
+
+198
+00:20:44,530 --> 00:20:49,510
+أكتر من 0 لما انها X أكتر من 0 لما انها X أكتر من
+
+199
+00:20:49,510 --> 00:20:54,150
+0 لما انها X أكت
+
+200
+00:21:00,230 --> 00:21:04,090
+Y تساوي لن الأكس
+
+201
+00:21:06,520 --> 00:21:12,160
+بدي اخد بعض الخواف لهذه الدالة الان نقول x greater
+
+202
+00:21:12,160 --> 00:21:19,120
+than 0 و0 لما على نهاية هجسم هذه الى فترتين الفترة
+
+203
+00:21:19,120 --> 00:21:24,600
+الاولى بدي اخد لو كانت ال point الاولى لو كانت ال
+
+204
+00:21:24,600 --> 00:21:31,180
+x greater than oneهذا المحور يرسم الدالة اللي عنها
+
+205
+00:21:31,180 --> 00:21:39,580
+هذا المحور هذا محور X وهذا محور Y الدالة هذه 1 على
+
+206
+00:21:39,580 --> 00:21:44,520
+T يعني 1 على X Y تسوى 1 على X أخدناها في كل كلصي
+
+207
+00:21:44,520 --> 00:21:50,820
+طبعا جوز هناك بالضبط تماما ويجي جوز تاني بهذا
+
+208
+00:21:50,820 --> 00:21:53,380
+الشكل هنا لكن هو اشترف ايش
+
+209
+00:22:06,550 --> 00:22:12,290
+هذا المنحنة صار منحنة واحد على X ان قلت واحد على T
+
+210
+00:22:12,290 --> 00:22:16,130
+واحد على X واحد على Y واحد على Z هي نفس الدالة
+
+211
+00:22:19,380 --> 00:22:23,880
+طيب قال لي تكامل من واحد إلى اكسي بين الواحد هي
+
+212
+00:22:23,880 --> 00:22:29,920
+الواحدلما أقول من واحد إلى X هل حقلي شروط على X؟
+
+213
+00:22:29,920 --> 00:22:33,880
+حقلي شرط إنها أكبر من الـ Zero بس يبقى في احتمال
+
+214
+00:22:33,880 --> 00:22:38,740
+تكون أكبر من الواحد وفي احتمال أقل من الواحد بدنا
+
+215
+00:22:38,740 --> 00:22:43,240
+نشوف الاحتمالات هذول بل الاحتمالات التالية لو كانت
+
+216
+00:22:43,240 --> 00:22:47,540
+تساوي واحد مش بدي يكون شكلها تمام؟ يبقى لو افترضت
+
+217
+00:22:47,540 --> 00:22:53,060
+إن X أكبر من واحد يبقى ماتهجينا ال X وين؟ هذا ال X
+
+218
+00:22:53,810 --> 00:22:59,530
+طبعا هذا تكمل محدود ولا لا؟حسب ما تعلمنا في
+
+219
+00:22:59,530 --> 00:23:03,790
+Calculus التكامل المحدد معناته المساحة المحصورة
+
+220
+00:23:03,790 --> 00:23:08,430
+بين المنحنة ومحور X على فترة التكامل
+
+221
+00:23:28,320 --> 00:23:37,440
+طبعا طيب كويس يبقى هنا then لو كانت ال X أكبر من 1
+
+222
+00:23:37,440 --> 00:23:43,260
+إيش بده يشير؟ بده يشير إن إن ال X يسوى تكمل من 1 ل
+
+223
+00:23:43,260 --> 00:23:45,920
+X ل 1 على T DT
+
+224
+00:23:48,430 --> 00:23:54,090
+هذا معناته المساحة المظلمة اللي عندنا هذا طب هذه
+
+225
+00:23:54,090 --> 00:24:00,650
+المساحة الواحد أكبر ولا ال X أكبر؟ ال X أكبر يبقى
+
+226
+00:24:00,650 --> 00:24:04,710
+هذه تعني ال positive area المساحة اللي موجودة أعلى
+
+227
+00:24:04,710 --> 00:24:12,570
+ال X axis يبقى هذا بده يساوي the positive area
+
+228
+00:24:12,570 --> 00:24:15,770
+between the
+
+229
+00:24:21,650 --> 00:24:32,490
+Y تساوي واحد على T from T تساوي واحد to T تساوي X
+
+230
+00:24:33,620 --> 00:24:39,360
+يبقى المساحة المحصورة بين الملحنة الـ N والخط من 1
+
+231
+00:24:39,360 --> 00:24:44,080
+لغاية X المساحة المظلة وهذه جاية أعلى لـ X axis
+
+232
+00:24:44,080 --> 00:24:49,820
+يبقى هذه مالها مساحة موجبة يبقى أفهم من هذا الكلام
+
+233
+00:24:50,080 --> 00:24:57,540
+أن هذا التكامل يأخذ قيمة موجبة بعد الواحد من
+
+234
+00:24:57,540 --> 00:25:02,560
+الواحد وطلق كل قيمته موجبة طب ده فياخد الخاصية
+
+235
+00:25:02,560 --> 00:25:09,940
+الثانية F ال X أكبر من ال zero أقل من ال واحد احنا
+
+236
+00:25:09,940 --> 00:25:13,840
+قلنا X أكبر من ال zero أخدنا من واحد وانطلق اذا
+
+237
+00:25:13,840 --> 00:25:22,160
+انطلق من واحد لغاية ال واحد يبقى thenلأن ال X بدى
+
+238
+00:25:22,160 --> 00:25:28,200
+يسوي تكامل من واحد ال X لواحد على T دى T يبقى في
+
+239
+00:25:28,200 --> 00:25:32,940
+هذه الحالة ال X بدى تيجي وين؟ جاب للواحد ولا بعد؟
+
+240
+00:25:33,620 --> 00:25:39,580
+قبل أن X أقل من واحد، إذا X بدأ تجيني هنا على سبيل
+
+241
+00:25:39,580 --> 00:25:46,040
+المثال يبقى هنا المساحة اللي أنه طلعنا لغاية ما
+
+242
+00:25:46,040 --> 00:25:50,100
+جبلنا المنحنة، يبقى صارت عندي المساحة هذه
+
+243
+00:25:50,100 --> 00:25:55,930
+المشاربكةخلاص؟ يبقى هذه المساحة اللي .. طب استنى
+
+244
+00:25:55,930 --> 00:26:00,330
+جابلي المساحة شوية، استنى شوية، بقول اه من حد
+
+245
+00:26:00,330 --> 00:26:04,450
+التكامل الكبير؟ هو الواحد ولا الا اتس؟ من الأكبر؟
+
+246
+00:26:04,450 --> 00:26:09,630
+واحد اكبر، يبقى الدليل تبع التكامل تحت، الكبير تحت
+
+247
+00:26:09,630 --> 00:26:14,360
+والصغير فوقهي تتكامل وضعه الطبيعي؟ لأ مش وضعه
+
+248
+00:26:14,360 --> 00:26:19,360
+الطبيعي يبقى نشكل بحدود التكامل وبنحط إشارة يبقى
+
+249
+00:26:19,360 --> 00:26:24,460
+هذا الكلام بده يسوى سالب تكامل من X لواحد لواحد
+
+250
+00:26:24,460 --> 00:26:31,210
+على T دي Tالحين لو جيت حجاز بإشارة السالب، هذا
+
+251
+00:26:31,210 --> 00:26:36,270
+التكمل يعني المساحة المظلة للي عندنا هذه، صح؟ لإن
+
+252
+00:26:36,270 --> 00:26:40,670
+الصغير تحته، والكبير فوق، يبقى المساحة المظلة سفقة
+
+253
+00:26:40,670 --> 00:26:45,770
+بإشارة سالب، يبقى فرقة إيش؟ ال negative area، جد
+
+254
+00:26:45,770 --> 00:26:49,990
+المساحة بتضبط، بس بإشارة مين؟ سالب، يبقى هذا
+
+255
+00:26:49,990 --> 00:26:54,350
+الكلام بده يساوي، لا، negative
+
+256
+00:26:57,640 --> 00:27:06,360
+يكون هناك مقاطع خاطئة بين اجراف
+
+257
+00:27:06,360 --> 00:27:09,520
+Y
+
+258
+00:27:09,520 --> 00:27:21,390
+تساوي واحد على T من T تساوي X ل T تساوي واحدأيوة
+
+259
+00:27:21,390 --> 00:27:30,190
+هذا بفهم ان قيمة لن X تاخد قيمة سالبة بين الواحد
+
+260
+00:27:30,190 --> 00:27:35,170
+والزيرو تاخد قيمة سالبة يعني عند الرسم من زيرو
+
+261
+00:27:35,170 --> 00:27:39,350
+لواحد بتبقى الرسم فوق الاكساسيز و لا تحت الاكساتيز
+
+262
+00:27:39,920 --> 00:27:44,980
+تحت ال X axis لأنها سالبة إذا بعد الواحد أعلى ال X
+
+263
+00:27:44,980 --> 00:27:50,940
+axis قبل الواحد أسفل ال X axis طب عند الواحد تعالى
+
+264
+00:27:50,940 --> 00:27:59,020
+نشوف يبقى نمرة تلاتة if ال X يساوي واحد هيك بيكون
+
+265
+00:27:59,020 --> 00:28:06,610
+غطينا كل الفترة من صفر لغاية ما لا نهاية thenالان
+
+266
+00:28:06,610 --> 00:28:12,630
+اقسم يساوي واحد يبقى بصير اندي لان الواحد بيساوي
+
+267
+00:28:12,630 --> 00:28:22,290
+التكامل من واحد إلى واحد لواحد على T D Tإذا تساوى
+
+268
+00:28:22,290 --> 00:28:27,710
+حدات التكمل فإن قيمة التكمل تساوي صفر يبقى هذا
+
+269
+00:28:27,710 --> 00:28:33,090
+الكلام بده يساوي Zero إذا ممتاز جدا استفدنا معلومة
+
+270
+00:28:33,090 --> 00:28:40,690
+جديدة وهي إن لن الواحد بده يساوي Zero بالشكل اللي
+
+271
+00:28:40,690 --> 00:28:52,250
+عندناعند الرسم المنحنى لازم يمر بهذه النقطةبعد
+
+272
+00:28:52,250 --> 00:28:56,450
+النقطة هذه المنحنة ستكون أعلى الـ x-axis قبل
+
+273
+00:28:56,450 --> 00:29:00,970
+النقطة هذه و بعد الـ 0 ستكون أسفل الـ x-axis و يمر
+
+274
+00:29:00,970 --> 00:29:06,230
+بالنقطة هذه اللي يحدث في إيها 1 و 0 كويس هذه
+
+275
+00:29:06,230 --> 00:29:11,150
+الخاصية تلتة يبقى تلت خواصة دول أفدوني في موقع
+
+276
+00:29:11,150 --> 00:29:15,550
+الرسمة وين بدي يكون لكن كيف بدي يكون لسان مايعرفش
+
+277
+00:29:16,040 --> 00:29:21,880
+هل هو تزايدي تناقصي طالع و نازل الله أعلم يبقى بنا
+
+278
+00:29:21,880 --> 00:29:31,410
+روحنا الخاصية رقم 4لو بدى أجيب مشتقة للن ال X الله
+
+279
+00:29:31,410 --> 00:29:37,210
+أعلم مامرتش علينا هذا لكن مر علينا التعريف إذا بدى
+
+280
+00:29:37,210 --> 00:29:43,170
+أشيله و أحط قيمته حسب التعريف يبقى هذه D على DX
+
+281
+00:29:43,170 --> 00:29:50,050
+لمين ال integration من واحد ال X لواحد على T DT
+
+282
+00:29:50,050 --> 00:29:57,790
+اشتقاق للتكامل سمانة في في كل كلص Aاللي هو في
+
+283
+00:29:57,790 --> 00:30:03,030
+نظرية ايه؟ Fundamental Theorem of Calculus قاللي
+
+284
+00:30:03,030 --> 00:30:08,530
+إذا هذا مقبر ثابت و هذا X و تكامل يجتش تكتش ما
+
+285
+00:30:08,530 --> 00:30:12,670
+عليك إلا تشيل كل T و تحقق مكانها الرمز اللي بيجي
+
+286
+00:30:12,670 --> 00:30:19,030
+اللي هو X يبقى النتيجة تساوي واحد على X والله كويس
+
+287
+00:30:19,030 --> 00:30:23,850
+هذه أفدتني شغلتينالشغلة الأولى ان انا عرفت مشتقة
+
+288
+00:30:23,850 --> 00:30:28,570
+ليه ان ال exercise قداشر واحدة على اكتشاف اتنين هل
+
+289
+00:30:28,570 --> 00:30:35,030
+هذه المشتقة موجبة ولا سالبة ولا ممكن تكون صفارة
+
+290
+00:30:35,030 --> 00:30:38,130
+طلعله
+
+291
+00:30:38,130 --> 00:30:43,650
+لل condition اللي عندي اش بيقولالمن X يصبح تكمل
+
+292
+00:30:43,650 --> 00:30:48,930
+علما بإن X معلها أكبر من إذا طبع واحد علي X، بصير
+
+293
+00:30:48,930 --> 00:30:53,990
+صالبة وماشية، يبقى دائما و أبدا موجبة، ممتاز جدا
+
+294
+00:30:54,270 --> 00:31:00,190
+إذا هذه أكبر من ال zero لكل ال x اللي أكبر من ال
+
+295
+00:31:00,190 --> 00:31:05,070
+zero طب إذا المشتقة أكبر من ال zero يبقى
+
+296
+00:31:05,070 --> 00:31:11,890
+increasing هذا بيقول إن ال x is increasing هذا
+
+297
+00:31:11,890 --> 00:31:16,710
+بيقول إن ال x is increasing
+
+298
+00:31:18,890 --> 00:31:23,350
+function هذه معلومة جيدة يعني عندما نخرج ما ينزل
+
+299
+00:31:23,350 --> 00:31:29,530
+يبقى على طول الخط طيب يا ترى طالع concave down ولا
+
+300
+00:31:29,530 --> 00:31:35,950
+concave up الله أعلم نجيب المشتقة الثانية لنحدد هل
+
+301
+00:31:35,950 --> 00:31:40,050
+هو concave up ولا concave down وبالتالي نقبل اسمه
+
+302
+00:31:40,050 --> 00:31:46,650
+بسهولة بعد ذلكبدأي الخاصية الخامسة لو بدي دي
+
+303
+00:31:46,650 --> 00:31:53,510
+square على دي x square لمن ال x المشتقة الأولى دي
+
+304
+00:31:53,510 --> 00:32:00,590
+على دي x لمن لواحد على xهذه المشتقة الثانية، لو
+
+305
+00:32:00,590 --> 00:32:04,050
+اشتقت مرة من اللي فوق و بتعطيني واحدة لك، بتشتق
+
+306
+00:32:04,050 --> 00:32:10,970
+كمان مرة، يبقى بتعطيني سالب واحد على X تربيع، إيش
+
+307
+00:32:10,970 --> 00:32:17,410
+رأيك؟ أقل من ال zero لأكبر، أقل من ال zero لكل ال
+
+308
+00:32:17,410 --> 00:32:23,550
+X اللي أكبر من ال zero، هذا معناه أنهconcave down
+
+309
+00:32:23,550 --> 00:32:31,470
+مشتقة ثانية سالبة يبقى هذا بدي أقولك the graph of
+
+310
+00:32:31,470 --> 00:32:41,550
+لإن ال X is concave downيبقى مفتوح الى أسفل ايش
+
+311
+00:32:41,550 --> 00:32:45,710
+رايك المعلومات هذه اللي حصلنا عليها بنقدر من
+
+312
+00:32:45,710 --> 00:32:51,150
+خلالها نرسم من حالة natural لغة نتمو بعدك نكمل
+
+313
+00:32:51,150 --> 00:32:55,610
+باقي الخواص يبقى لو جيت أخدت المحاور بالشكل لأن
+
+314
+00:32:55,610 --> 00:33:01,870
+هذا وروح نقول هذا محور X هذا محور Y هذه نقطة الأصل
+
+315
+00:33:01,870 --> 00:33:06,210
+اللي هي Zero الفلسفة في الموضوع اللي هي نقطة واحدة
+
+316
+00:33:06,980 --> 00:33:15,880
+بعد الواحد تظاهر تزايدية تزايدية
+
+317
+00:33:15,880 --> 00:33:25,000
+تزايدية تزايدية تزايدية تزايدية تزايدية تزايدية
+
+318
+00:33:25,000 --> 00:33:26,620
+تزايدية تزايدية تزايدية تزايدية تزايدية تزايدية
+
+319
+00:33:26,620 --> 00:33:26,880
+تزايدية تزايدية تزايدية تزايدية تزايدية تزايدية
+
+320
+00:33:26,880 --> 00:33:26,900
+تزايدية تزايدية تزايدية تزايدية تزايدية تزايدية
+
+321
+00:33:26,900 --> 00:33:29,880
+تزايدية تزايدية تزايدية تزايدية تزايدية تزايدية
+
+322
+00:33:29,880 --> 00:33:32,820
+تزايدية تزايدية تزايدية تزايدية تزايدية تزايدية
+
+323
+00:33:32,820 --> 00:33:36,000
+تزايدية
+
+324
+00:33:36,000 --> 00:33:38,010
+تزايدية تزايدية تزايدية تزايديةيبقى هذه رسمة
+
+325
+00:33:38,010 --> 00:33:46,450
+المنحنى y تساوي لن ال x طيب كويس، بدنا نروح
+
+326
+00:33:46,450 --> 00:33:52,990
+للخاصية السادسة ال domain شرطنا عليه هيو و من
+
+327
+00:33:52,990 --> 00:33:59,520
+الرسم كمان من و إلى وينمن صفر لغاية ملمنا إذا ال
+
+328
+00:33:59,520 --> 00:34:08,120
+domain لإن ال x من صفر لغاية infinity and ال range
+
+329
+00:34:08,120 --> 00:34:15,470
+لإن ال x بده يساويبياخد قيمة موجبة و قيمة سالبة و
+
+330
+00:34:15,470 --> 00:34:20,650
+سفر يعني الـ real line كله و يطلع هنا هذه القيمة
+
+331
+00:34:20,650 --> 00:34:25,490
+الموجبة و هذه القيمة السالبة و عند الواحد بتكون
+
+332
+00:34:25,490 --> 00:34:29,730
+القيمة جداش Zero انت من وين الا وين؟من سالب
+
+333
+00:34:29,730 --> 00:34:34,910
+infinity إلى infinity يبقى هذا من سالب infinity
+
+334
+00:34:34,910 --> 00:34:40,690
+إلى infinity يعني كل ال real line بلا استثناء طيب
+
+335
+00:34:40,690 --> 00:34:50,860
+خدناك كمان هالسؤال نمرا السابع from the graph ofY
+
+336
+00:34:50,860 --> 00:34:57,060
+تساوي لإن ال X We Have لو روحت سألتك قولتك بالله
+
+337
+00:34:57,060 --> 00:35:03,060
+قداش limit لإن ال X لما ال X بدها تروح لما لا
+
+338
+00:35:03,060 --> 00:35:07,620
+نهاية هذا المنحنى لما ال X بدها تروح لما لا نهاية
+
+339
+00:35:07,620 --> 00:35:16,810
+هذا رايح لوين؟ لما لا نهاية andLimit لإن ال X لما
+
+340
+00:35:16,810 --> 00:35:22,510
+ال X بدي روح لل Zero من جهتي اليمين، لو أنا رايح
+
+341
+00:35:22,510 --> 00:35:28,710
+لل Zero من جهتي اليمين، الدالة نزل وين؟ لساني ب
+
+342
+00:35:28,710 --> 00:35:34,840
+Infinityيبقى سالب infinity طب لو ما حطيتيش limit
+
+343
+00:35:34,840 --> 00:35:39,800
+لإن ال X لما ال X بده تروح ل 0 بساطة this لإن ده
+
+344
+00:35:39,800 --> 00:35:45,300
+ال undefined at x equal to zero مش معرفة طب سؤال
+
+345
+00:35:45,300 --> 00:35:49,640
+شفاوي تاني جداش limit لإن ال X لما ال X بده تروح
+
+346
+00:35:49,640 --> 00:35:55,420
+للواحدزيرو على كل الخطخة هي عند الواحد تروح لزيرو
+
+347
+00:35:55,420 --> 00:35:59,620
+ان جه تيمين والو شمال كلها نادلوين أو طالعالمين
+
+348
+00:35:59,620 --> 00:36:06,560
+لزيرو تمام تمام يبقى هدول سبع خواص ولازلنا بدنا
+
+349
+00:36:06,560 --> 00:36:10,380
+نكمل باقى الخواص لهذا المنحنة
+
+350
+00:36:20,300 --> 00:36:27,160
+قصها رقم 8 مر
+
+351
+00:36:27,160 --> 00:36:31,480
+عليكم اللغارتمات العادية في الثانوية العامة وبجاعة
+
+352
+00:36:31,480 --> 00:36:36,520
+تقول لن خمسة في ستة بيكون لن خمسة زي لن ستة لغارتم
+
+353
+00:36:36,520 --> 00:36:40,900
+يعني لغارتم الخمسة زي لغارتم الستة تمام؟ ما كان
+
+354
+00:36:40,900 --> 00:36:45,860
+ينطبق على الأعداد الموجبة في الثانوية العامة هروح
+
+355
+00:36:45,860 --> 00:36:52,320
+نقيت كتابته هنا من جديد من أول وزيدفبجي بقول if ال
+
+356
+00:36:52,320 --> 00:36:57,860
+b أكبر من ال zero and ال x أكبر من ال zero then
+
+357
+00:36:57,860 --> 00:37:07,380
+النقطة الأولى لن ال b في x لغرتم حاصل ضرب قيمتين
+
+358
+00:37:07,380 --> 00:37:15,320
+موجبتين يساوي من لن ال b زائد لن ال x مررت عليكم
+
+359
+00:37:15,320 --> 00:37:20,910
+في اللغة اتمتت ولا لا؟فى ثانوية مظبوط طيب بدل
+
+360
+00:37:20,910 --> 00:37:30,950
+الجمع لو قولنا نمرة اتنين لن ال b على x يساوي لن
+
+361
+00:37:30,950 --> 00:37:38,690
+ال b ناقص لن ال x طيب نمرة تلاتة بدنا ناخد حالة
+
+362
+00:37:38,690 --> 00:37:48,420
+خاصة من هذه لن ال 1 على x يساويلن الواحد ناقص لن
+
+363
+00:37:48,420 --> 00:37:53,380
+ال X لن الواحد يبقى
+
+364
+00:37:53,380 --> 00:38:00,960
+الجواب سالب لن ال X الخصية الرابعة والمهمة very
+
+365
+00:38:00,960 --> 00:38:08,990
+important لن ال X to the power Nيبقى بقول ال N
+
+366
+00:38:08,990 --> 00:38:15,950
+شرفنا برة وبصيرها N في لن ال X بالشكل اللي عندنا
+
+367
+00:38:15,950 --> 00:38:22,050
+عارفين ليش؟ لن لن X to the power N يعني X في X في
+
+368
+00:38:22,050 --> 00:38:28,050
+X، N من المرات اللن بتخش على الدرب، بصير لن الأول
+
+369
+00:38:28,050 --> 00:38:32,480
+زي لن التاني، لن الأول زي لن التانيأجمعه بيطلع
+
+370
+00:38:32,480 --> 00:38:39,580
+مجموعهم N في لن ال X مظبوط يبقى من الألف ساعدا لن
+
+371
+00:38:39,580 --> 00:38:46,760
+X to the power N يساوي N في لن ال X او N في لن ال
+
+372
+00:38:46,760 --> 00:38:51,900
+X يساوي لن X to the power N العملية العدسية تمام
+
+373
+00:38:51,900 --> 00:38:57,740
+يبقى هذا اللي هي الخاصية لأن الخاصية الثامنة طيب
+
+374
+00:38:57,740 --> 00:38:59,540
+نجي للخاصية التاسعة
+
+375
+00:39:02,840 --> 00:39:07,200
+أحنا هنا اتكلمنا عن ال derivative مظبوط طلعت
+
+376
+00:39:07,200 --> 00:39:12,220
+المشتقة الأولى اللي هي جباش واحد على اكس طب لو
+
+377
+00:39:12,220 --> 00:39:20,680
+حبيت أعممها يبقى بادي بقول ايش if u is a
+
+378
+00:39:20,680 --> 00:39:30,470
+differentiable function of x thenD على DX لإن
+
+379
+00:39:30,470 --> 00:39:38,170
+اليوم طبق اللي يتشامل بيبقى say additional 1 على U
+
+380
+00:39:38,170 --> 00:39:47,290
+بتشامل DU على DX بمعنى أخر لو كان عندنا هنا لم
+
+381
+00:39:47,290 --> 00:39:56,230
+مثلا X تكيببدا اشتقها يبقى واحد على x تقعيد في
+
+382
+00:39:56,230 --> 00:40:01,570
+مشتقة ال x تقعيد اللي هي جداش 3x غربية بدي مشتقة
+
+383
+00:40:01,570 --> 00:40:08,570
+مثلا لل sign ال x يبقى واحد على sign في مشتقة ال
+
+384
+00:40:08,570 --> 00:40:14,600
+sign اليمينبكوصين يبقى نتيجة كتان ال X و هكذا يبقى
+
+385
+00:40:14,600 --> 00:40:19,740
+هى لما اقول U دل قبل اشتقاق في X تبقى قياسا على
+
+386
+00:40:19,740 --> 00:40:24,360
+هذه هتطلع لك انك حاجة ما شاء الله عليها من احلى ما
+
+387
+00:40:24,360 --> 00:40:32,000
+يكون عشرة اشي لو بدي دي على دي X لان ال X
+
+388
+00:40:32,000 --> 00:40:37,420
+اوتوماتيك حسبناها فوق واحد على X وال X أكبر من ال
+
+389
+00:40:37,420 --> 00:40:43,270
+Zeroطيب لو ده ساخدم الخاصية التاسعة و اقول D على
+
+390
+00:40:43,270 --> 00:40:54,510
+DX لن سالب X يساوي معرفة هذه؟ بالمرة مش معرفة؟
+
+391
+00:40:54,970 --> 00:40:59,730
+معرفة، بس من أين لغاية؟ من سالب Infinity لغاية
+
+392
+00:40:59,730 --> 00:41:02,910
+زيه، من كل الإعداديس اللي بحطه قدام سالب أشبه
+
+393
+00:41:02,910 --> 00:41:08,550
+السيارة، إذا الفرق معرفة عن نصف ثاني من ال real
+
+394
+00:41:08,550 --> 00:41:14,710
+line، يبقى هذه معرفة بالضبط تماماطيب هذه الان اجت
+
+395
+00:41:14,710 --> 00:41:20,770
+هي U دلق قبل الاشتقاط في X إذا مشتقتها واحد على
+
+396
+00:41:20,770 --> 00:41:28,090
+سالب X في مشتقة مداخل الملوك قداش سالب واحد سالب
+
+397
+00:41:28,090 --> 00:41:34,450
+على سالب قداش بتعطيلك موجب وبشرط إن ال X أقل من ال
+
+398
+00:41:34,450 --> 00:41:42,340
+zeroإذا على كل الأمرين المشتق جديش واحد على اكس طب
+
+399
+00:41:42,340 --> 00:41:49,960
+من اتنين هدون لو جيت قول بالله جديش تكامل واحد على
+
+400
+00:41:49,960 --> 00:41:56,340
+اكس دي اكس اكتبله هذه و لا اكتبله هذهبكتب له
+
+401
+00:41:56,340 --> 00:42:03,760
+التنتين كيف التنتين بقول لن absolute value ل X
+
+402
+00:42:03,760 --> 00:42:09,560
+زائد constant C إذا من تاريخ الساعة هذه و احنا
+
+403
+00:42:09,560 --> 00:42:16,840
+طالعين تكامل 1 على X DX يساوي لن absolute value ل
+
+404
+00:42:16,840 --> 00:42:21,540
+X زائد constant C إيه رأيك هذه كانت مستعصية علينا
+
+405
+00:42:21,540 --> 00:42:27,920
+فيك القلصمظبوط إذا بتذكر في كل كلص ايه قلنا لك
+
+406
+00:42:27,920 --> 00:42:34,660
+تكامل x أس n dx يساوي x أس n زائد واحد n زائد واحد
+
+407
+00:42:34,660 --> 00:42:40,450
+زائد كل صفر و بشرط ان ال n ممنوع تساوي سالب واحدصح
+
+408
+00:42:40,450 --> 00:42:45,110
+ولا لأ؟ طب لو كانت N بثالث واحد تصير واحد على X
+
+409
+00:42:45,110 --> 00:42:48,790
+صحيح ولا لأ؟ يبقى اللي كانت سبب نعرفهاش في
+
+410
+00:42:48,790 --> 00:42:53,230
+calculus B .. في calculus A لما درسنا لإن ال X في
+
+411
+00:42:53,230 --> 00:42:57,310
+calculus B صارت very easy يبقى الجواب لين absolute
+
+412
+00:42:57,310 --> 00:43:02,050
+value لك يبقى حلنا المعضلة تبعت calculus A
+
+413
+00:43:02,050 --> 00:43:08,230
+واستفدنا أكتر من ذلك ايش أكتر من ذلك؟ هذه X قداش
+
+414
+00:43:08,230 --> 00:43:14,920
+مستقبتهاواحد إذا لو كانت دالة البصر هي مشتق دالة
+
+415
+00:43:14,920 --> 00:43:19,120
+المقام و بدي أكملها الجواب لإن absolute value
+
+416
+00:43:19,120 --> 00:43:24,820
+للمقام صح ولا لا؟ يجب بروح بقول بعمله و بقول in
+
+417
+00:43:24,820 --> 00:43:34,440
+general على وجه العموم تكامل لل F prime of X على
+
+418
+00:43:34,440 --> 00:43:43,140
+ال F of X DXيثاوى لن absolute value لل F of X زائد
+
+419
+00:43:43,140 --> 00:43:44,380
+constant C
+
+420
+00:43:48,840 --> 00:43:53,840
+بانتهاء الخاصية العاشرة بيمتهي الجزء المظهر التابع
+
+421
+00:43:53,840 --> 00:43:58,220
+على ال section dial فيه السطر واحد السطر واحد بدنا
+
+422
+00:43:58,220 --> 00:44:03,300
+نشيره له هنا ليعتبر مقدمة لل section اللي بعده
+
+423
+00:44:03,300 --> 00:44:08,060
+سمعت بالعدد اللي بيريا اللي جاء من ليبيريا هذا في
+
+424
+00:44:08,060 --> 00:44:12,000
+الثانوية مش هيك هو العدد ايه اللي بدنا نعطيله
+
+425
+00:44:12,000 --> 00:44:15,540
+تعريف ونوقف عنده شوية يبقى definition
+
+426
+00:44:18,350 --> 00:44:23,350
+the number ايه
+
+427
+00:44:23,350 --> 00:44:34,310
+العدد ايه مين هو is a number is a number in the
+
+428
+00:44:34,310 --> 00:44:43,650
+domain of لن ال X هو عدد في دومين لن X that
+
+429
+00:44:43,650 --> 00:44:45,850
+satisfy
+
+430
+00:44:47,610 --> 00:44:59,010
+والذي يحقق لإن الـ A بده يساوي واحد صحيح طبعا
+
+431
+00:44:59,010 --> 00:45:04,150
+ال section القادم هنبدأ بالعدد A هذا وكل الشغل
+
+432
+00:45:04,150 --> 00:45:10,190
+هيكون عليه كل ال section مركب عليه طبعا طيب قبل أن
+
+433
+00:45:10,190 --> 00:45:14,530
+نذهب إلى الأمثلة حد بده يسأل أي سؤال في كل ما سمعه
+
+434
+00:45:14,530 --> 00:45:15,790
+في محاضرة اليوم
+
+435
+00:45:18,500 --> 00:45:29,440
+واضح يعني؟ وضوح الشمس في كبل السماء، كيف؟ مالها؟
+
+436
+00:45:29,440 --> 00:45:34,100
+اللي تحت هذه، أول شيء increasing
+
+437
+00:45:36,930 --> 00:45:46,670
+تفاجنا تفاجنا تفاجنا
+
+438
+00:45:46,670 --> 00:45:52,770
+تفاجنا تفاجنا تفاجنا تفاجنا تفاجنا
+
+439
+00:45:53,050 --> 00:45:56,890
+يعني الـ Area اللى جيبناها اللى كانت مضللة على شكل
+
+440
+00:45:56,890 --> 00:46:01,550
+دوار بس بدها تيجي إشارة مين؟ سالبة دمان فورش بصير،
+
+441
+00:46:01,550 --> 00:46:06,830
+بصير تحت فكانت يوثلها مين؟ المنحنة اللى أنها يعني
+
+442
+00:46:06,830 --> 00:46:11,030
+لإن ال X من صفرها واحد بدي أخد قيم سالبة و المنحنة
+
+443
+00:46:11,030 --> 00:46:19,690
+decreasing و كده في أي تساوي آخر؟طب نذهب الآن إلى
+
+444
+00:46:19,690 --> 00:46:26,810
+الأمثلة ان شاء الله يبقى نعطي أمثلة بسيطة على هذا
+
+445
+00:46:26,810 --> 00:46:38,650
+الموضوع ناخد
+
+446
+00:46:38,650 --> 00:46:41,950
+أربعة دقيقة ان شاء الله عشان نثبت بعض المعلومات
+
+447
+00:46:41,950 --> 00:46:45,710
+وبعدها بنكمل المرة القادمة
+
+448
+00:46:50,310 --> 00:46:54,790
+أول مثال Simplify
+
+449
+00:46:54,790 --> 00:46:58,830
+the
+
+450
+00:46:58,830 --> 00:47:04,030
+following expressions
+
+451
+00:47:04,030 --> 00:47:11,130
+نمرأ
+
+452
+00:47:11,130 --> 00:47:21,280
+ايه؟ بدنا لن تسعة وأربعين على لن واحد وعشرينزائد
+
+453
+00:47:21,280 --> 00:47:27,620
+لن تلت
+
+454
+00:47:27,620 --> 00:47:44,600
+زائد
+
+455
+00:47:44,600 --> 00:47:45,600
+لن تلت زائد لن تلت زائد لن تلت زائد لن تلت زائد لن
+
+456
+00:47:45,600 --> 00:47:48,470
+تلت زائد لن تلت زائد لن تلتسبعة في سبعة يعني سبعة
+
+457
+00:47:48,470 --> 00:47:56,870
+تربيع يبجى لن سبعة لكل تربيع طيب واحد و عشرين سبعة
+
+458
+00:47:56,870 --> 00:48:05,130
+في تلاتة يبجى هذه لن تلاتة في سبعة زائد طيب لن
+
+459
+00:48:05,130 --> 00:48:13,520
+التلتالخاصية رقم تلاتة عندك لن a على x بيساوي لن
+
+460
+00:48:13,520 --> 00:48:18,060
+ال a ناقص لن ال x لن واحد على x بسالب لن ال x
+
+461
+00:48:29,620 --> 00:48:36,560
+أطلعني لهذه الأصبع يجيبه جاب لان لان، يتجسر يتنان
+
+462
+00:48:36,560 --> 00:48:43,780
+لأن السبع عالم، هذول حاصل ضربيرجع لن الأول زائد لن
+
+463
+00:48:43,780 --> 00:48:47,200
+التالت، يعني يا شباب اللن تدخلش لا على جمع ولا على
+
+464
+00:48:47,200 --> 00:48:53,340
+طرق، فبتدخل على ضرب وعلى قسمة ولا عدد مرفوع للعصر،
+
+465
+00:48:53,340 --> 00:48:59,480
+يرجع بقدر أقول هذا لن التلاتة زائد لن السبعة ناقص
+
+466
+00:48:59,480 --> 00:49:04,520
+لن التلاتةأظن ناقص لن التلاتة وزائد لن التلاتة مع
+
+467
+00:49:04,520 --> 00:49:11,220
+السلامة يبقى يساوي اتنين لن السبعة بل عندي جداش لن
+
+468
+00:49:11,220 --> 00:49:16,120
+السبعة مع لن السبعة يبقى الجواب جداش يبقى الكلكة
+
+469
+00:49:16,120 --> 00:49:24,420
+الكبيرة هذه قيمتها بس اتنين نمر بين؟ بدنا تلاتة لن
+
+470
+00:49:24,420 --> 00:49:36,010
+الجدر تالت للي اتنينزائد نص لن تسعة أربعة يبقى
+
+471
+00:49:36,010 --> 00:49:42,450
+هذا الكلام بدرساوي هذا باعتباره اتنين أس طلت يعني
+
+472
+00:49:42,450 --> 00:49:52,030
+هذه تلاتة لن اتنين أس طلت زائد نص لن تسعة أربعة
+
+473
+00:49:53,790 --> 00:49:59,150
+تلاتة على اتنين الكل تربيع يبقى تلاتة على اتنين
+
+474
+00:49:59,150 --> 00:50:06,570
+الكل تربيع يساوي هذه تلاتة فيه هذا طلط بنطلع برا
+
+475
+00:50:06,570 --> 00:50:18,710
+اللن يبقى هذا طلط في لن اتنين انتهينا من ذلك نصف
+
+476
+00:50:18,710 --> 00:50:22,010
+اتنين لن تلاتة على
+
+477
+00:50:25,030 --> 00:50:32,090
+طول مع تلاتة يبقى صار الجواب لن اتنين زائد لن
+
+478
+00:50:32,090 --> 00:50:41,010
+تلاتة على اتنين يبقى تعملها لن حاصل الدرب لن زائد
+
+479
+00:50:41,010 --> 00:50:46,470
+لن تعني لن حاصل الدرب يبقى اقول لن تلاتة ناقص لن
+
+480
+00:50:46,470 --> 00:50:52,450
+اتنين المرة الأثناء تتعملها فوق هي لكن هعمل هذه لن
+
+481
+00:50:52,450 --> 00:51:00,130
+اتنينفي تلاتة على اتنين لن المجموعة تعني لن حاصل
+
+482
+00:51:00,130 --> 00:51:04,710
+الضرب اتنين مع اتنين الله يسهل عليها يبقى ضال
+
+483
+00:51:04,710 --> 00:51:10,450
+الجواب ايه لن تلاتة اللي أخدته هذا مثال واحد من
+
+484
+00:51:10,450 --> 00:51:15,270
+سبعة أمثل أضايل ستة يعني بشغلك المحاضرة الجاية
+
+485
+00:51:15,270 --> 00:51:19,450
+كلها ان شاء الله تعالى ماشي؟ يلا
+
+486
+00:51:24,160 --> 00:51:25,300
+السلام عليكم ورحمة الله
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/bikNdG8VYh0.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/bikNdG8VYh0.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d3327f8b2f6a33ae47fd155900fc4972f2bbdd44
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/bikNdG8VYh0.srt
@@ -0,0 +1,1615 @@
+1
+00:00:10,380 --> 00:00:15,560
+بسم الله الرحمن الرحيم موضوعنا اليوم اللي هو موضوع
+
+2
+00:00:15,560 --> 00:00:20,200
+Chapter 10 بعد أن انتهينا من Chapter 8 طبعا 
+
+3
+00:00:20,200 --> 00:00:25,300
+Chapter 9 من شطبنا لأنه معادلات تفاضلية واحنا مادة
+
+4
+00:00:25,300 --> 00:00:29,720
+كاملة في الرياضيات بناخدها معادلات تفاضلية لطلبة
+
+5
+00:00:29,720 --> 00:00:37,400
+العلوم وكذلك لطلبة كلية الهندسة لذلك ندخل على Chapter
+
+6
+00:00:37,400 --> 00:00:42,980
+عشرة مباشرة Chapter عشرة له ال infinite sequences and 
+
+7
+00:00:42,980 --> 00:00:49,240
+infinite series المتتابعات اللانهائية والمتسلسلات 
+
+8
+00:00:49,240 --> 00:00:54,370
+اللانهائية بنبدأ في أول Section بتحدث فقط عن ال
+
+9
+00:00:54,370 --> 00:00:58,190
+sequences لكن من Section عشرة اثنين إلى آخر ال
+
+10
+00:00:58,190 --> 00:01:03,210
+Chapter كله بتحدث عن ال infinite series بنبدأ الآن
+
+11
+00:01:03,210 --> 00:01:09,290
+بال infinite sequences المتتابعات اللانهائية
+
+12
+00:01:09,290 --> 00:01:15,270
+بيعطينا تعريف لها بدنا نقرأ هذا التعريف ونفهم هذا
+
+13
+00:01:15,270 --> 00:01:21,620
+التعريف وبعدين بنبدأ في التسلسل تبعنا بقول الآن الـ
+
+14
+00:01:21,620 --> 00:01:26,080
+Infinite Sequence المتتابع اللانهائية of numbers
+
+15
+00:01:26,080 --> 00:01:31,220
+لمجموعة من الأعداد is a function هي عبارة عن دالة
+
+16
+00:01:31,220 --> 00:01:35,860
+أو اضطراب whose domain المجال تبعه هي مجموعة
+
+17
+00:01:35,860 --> 00:01:42,160
+الأعداد الصحيحة الموجبة أو إن شئتم فقولوا مجموعة
+
+18
+00:01:42,160 --> 00:01:47,540
+الأعداد الطبيعية واحد اثنين ثلاثة أربعة خمسة إلى 
+
+19
+00:01:47,540 --> 00:01:53,170
+آخرها that is السيكونس كيف بنكتبها؟ بنكتبها
+
+20
+00:01:53,170 --> 00:01:58,990
+expression على الشكل التالي A1, A2, A3 نقط نقط 
+
+21
+00:01:58,990 --> 00:02:03,890
+لغاية ما نوصل لوين للـ An فاصلة ومن ظل ماشيين
+
+22
+00:02:03,890 --> 00:02:08,310
+النقط هذه تعني أن السيكونس هذه بتضل ماشية لوين
+
+23
+00:02:08,310 --> 00:02:14,050
+لغاية ما لا نهاية هذا إذا كان جديرنا نوصل لما لا نهاية
+
+24
+00:02:14,050 --> 00:02:19,230
+على أي حال يبقى هذه معناته الحدود بتضل ماشية إلى
+
+25
+00:02:19,230 --> 00:02:28,050
+ما شاء الله الحد الأول هو a1 A2 هو الحد الثاني A3 هو
+
+26
+00:02:28,050 --> 00:02:35,910
+الحد الثالث الرقم 1 و2 و3 و4 و5 و6 و N هم مجموعة
+
+27
+00:02:35,910 --> 00:02:39,870
+الأعداد الصحيحة اللي احنا بنقول عليها يعني ال
+
+28
+00:02:39,870 --> 00:02:46,530
+domain تبعها هي مجموعة الأعداد الصحيحة وال A1 و A2
+
+29
+00:02:46,530 --> 00:02:51,550
+هذا هو عبارة عن رقم تذكره في الثانوية أخذت
+
+30
+00:02:51,550 --> 00:02:57,490
+المتواليات العددية والهندسية فكنا بنقول في حاجة
+
+31
+00:02:57,490 --> 00:03:03,990
+اسمها قيمة للحد وفي شيء اسمه رتبة الحد رتبة الحد
+
+32
+00:03:03,990 --> 00:03:09,130
+يعني موقعه في المتوالية، لكن قيمة الحد القيمة 
+
+33
+00:03:09,130 --> 00:03:14,110
+العددية له، احنا القيمة العددية برضه هو عبارة عن
+
+34
+00:03:14,110 --> 00:03:19,030
+رقم، لكن لما أقول A1 يعني الحد الأول، A2 يعني الحد
+
+35
+00:03:19,030 --> 00:03:24,820
+الثاني، A3 الحد الثالث، الرابع، إلى آخره قول الـ A1
+
+36
+00:03:24,820 --> 00:03:28,120
+the first term, A2 the second term, A3 the third
+
+37
+00:03:28,120 --> 00:03:32,820
+term لغاية الـ An اللي هو the nth term وهكذا بنظل
+
+38
+00:03:32,820 --> 00:03:38,720
+ماشين نعطي بعض الأمثلة أول مثال قبل ما نعطي أمثلة
+
+39
+00:03:38,720 --> 00:03:44,100
+ال sequence ممكن نكتبها بأكثر من شكل ممكن يكون
+
+40
+00:03:44,100 --> 00:03:48,500
+بالشكل الطويل اللي احنا كاتبينه هذا وممكن نكتب
+
+41
+00:03:48,500 --> 00:03:54,440
+دلالة الحد النوني على الشكل هذا a n بين قوسين بالشكل
+
+42
+00:03:54,440 --> 00:03:59,840
+اللي عندنا هذا ونروح نقول من عند n تساوي واحد لغاية
+
+43
+00:03:59,840 --> 00:04:05,960
+infinity يعني إيه؟ يعني لما أحط N واحد بيصير هذه
+
+44
+00:04:05,960 --> 00:04:10,880
+بيجي بده A واحد اللي هو الحد الأول لما أحط N باثنين
+
+45
+00:04:10,880 --> 00:04:16,450
+بيصير هذه A اثنين يبقى الحد الثاني N بتلاتة
+
+46
+00:04:16,450 --> 00:04:22,070
+يبقى تلاتة للحد الثالث N مية بيصير A مية يبقى الحد
+
+47
+00:04:22,070 --> 00:04:29,170
+المائة وهكذا يبقى هذا الشكل أو اختصارا بنروح نقول
+
+48
+00:04:29,170 --> 00:04:33,830
+ال sequence بالشكل هذا n بين قوسين ونكتب شيء
+
+49
+00:04:33,830 --> 00:04:40,430
+لكن ضمن فاهمين أن العد بيبدأ من وين أن n تساوي
+
+50
+00:04:40,430 --> 00:04:47,180
+واحد لغاية مين لغاية infinity لو جئنا الآن كلمة تلعب
+
+51
+00:04:47,180 --> 00:04:52,860
+على ذلك ال sequence على سبيل المثال اللي هي مين؟
+
+52
+00:04:52,860 --> 00:04:59,540
+اثنين، أربعة، ستة، ثمانية، حد بيقدر يقول لي إيه
+
+53
+00:04:59,540 --> 00:05:06,900
+الشكل للحد النوني؟ 2N يبقى 2N يعني مجموعة
+
+54
+00:05:06,900 --> 00:05:13,560
+الأعداد الزوجية مصفوفة وفاصلة وظل ماشيين اللي
+
+55
+00:05:13,560 --> 00:05:19,260
+ممكن أكتبها 2N بين قوسين بالشكل اللي عندنا هذا
+
+56
+00:05:19,260 --> 00:05:24,940
+يبقى هذا اللي هو ال sequence الأولى ال sequence
+
+57
+00:05:24,940 --> 00:05:33,700
+الثانية مثلا رقم اثنين لو جئت قلت the sequence واحد
+
+58
+00:05:33,700 --> 00:05:43,760
+على n is written as ممكن أكتبها على الشكل التالي
+
+59
+00:05:43,760 --> 00:05:47,360
+بدأ من أين دي الواحد يبقى الحد الأول يبقى جداش
+
+60
+00:05:47,360 --> 00:05:53,820
+بواحد بعد الواحد بيجي نصف نصف يبقى جداش نصف لـ بعد
+
+61
+00:05:53,820 --> 00:05:55,980
+ثلاثة يبقى ثلث
+
+62
+00:06:06,830 --> 00:06:15,370
+ممكن يكون كيف؟ ممكن يكون رقم ثلاثة The sequence
+
+63
+00:06:15,370 --> 00:06:24,670
+اللي هي مين؟ سالب واحد أس n زائد واحد للواحد على n is
+
+64
+00:06:24,670 --> 00:06:30,100
+written as بدأ أكتب ال sequence اللي عندنا هذا
+
+65
+00:06:30,100 --> 00:06:35,380
+طلع لي هنا بدأ أحط واحد تصير هنا جداش اثنين يعني
+
+66
+00:06:35,380 --> 00:06:40,140
+أس سالب واحد تربيع له جداش بواحد وهنا واحد يبقى واحد
+
+67
+00:06:40,140 --> 00:06:45,180
+الحد الثاني بدأ أحط n باثنين تصير له سالب جداش اثنين
+
+68
+00:06:45,500 --> 00:06:52,220
+سالب واحد تكعيب بسالب واحد وهنا سالب نصف يصبح يبقى
+
+69
+00:06:52,220 --> 00:07:00,480
+سالب نصف لـ بعده سأضع ثلاثة يصبح بالموجب يبقى هنا كم؟
+
+70
+00:07:00,480 --> 00:07:07,820
+ثلث سالب رابع وهكذا تبقى موجبة لغاية سالب واحد أس
+
+71
+00:07:07,820 --> 00:07:15,120
+n زائد واحد في واحد على n وهكذا يبقى هذا شكل ال
+
+72
+00:07:15,120 --> 00:07:21,760
+sequence اللي عندنا طيب رقمها أربعة لو جئنا نقول ال
+
+73
+00:07:21,760 --> 00:07:32,720
+sequence n ناقص ال one على n is written as تحط
+
+74
+00:07:32,720 --> 00:07:39,940
+n بواحد يبقى جداش الحد الأول صفر تمام تحط n 
+
+75
+00:07:39,940 --> 00:07:42,720
+باثنين نصف
+
+76
+00:07:43,860 --> 00:07:50,280
+حط N بثلاثة ثلث
+
+77
+00:07:50,280 --> 00:07:57,820
+تربيع أربعة أخماس خمسة أسداس ستة أسباع سبعة أثمان
+
+78
+00:07:57,820 --> 00:08:03,960
+ثمانية تسعة أعشار تسعة عشر وكذا تبقى موجودة يبدأ يوصل ل N
+
+79
+00:08:03,960 --> 00:08:08,360
+ناقص ال one على N وهذه النقطة بالشكل اللي عندي
+
+80
+00:08:08,360 --> 00:08:16,340
+هذا نجي لـ sequence ثاني مثلا the رقم خمسة the
+
+81
+00:08:16,340 --> 00:08:24,220
+sequence خمسة فقط يبقى is written as خمسة خمسة
+
+82
+00:08:24,220 --> 00:08:32,600
+خمسة ظل ماشي خمسة ونقط إلى آخره طيب
+
+83
+00:08:32,600 --> 00:08:39,500
+تعالى ال series هدول ممكن نعطيهم بعض التسميات ماذا
+
+84
+00:08:39,500 --> 00:08:45,360
+تلاحظ على هذه السيكوانس؟ اثنين، أربعة، ستة، ثمانية،
+
+85
+00:08:45,360 --> 00:08:50,180
+يبقى الحد الثاني أكبر من مين؟ من الحد الأول الثالث 
+
+86
+00:08:50,180 --> 00:08:54,280
+أكبر من الثاني الرابع أكبر من الثالث الخامس أكبر
+
+87
+00:08:54,280 --> 00:08:59,760
+من الرابع يعني ماشية بتزايد ولا بتتناقص يعني هذه
+
+88
+00:08:59,760 --> 00:09:04,960
+بقدر أقول increasing sequence يبقى هذه متتابعة
+
+89
+00:09:04,960 --> 00:09:10,180
+تزايدية يبقى هذه بقدر أقول عليها increasing
+
+90
+00:09:10,180 --> 00:09:20,050
+sequence تمام نمشي للي بعدها واحد، نصف، ثلث، ربع،
+
+91
+00:09:20,050 --> 00:09:26,770
+تنقص كل حد أصغر من الحد اللي قبله، مش أكبر، على
+
+92
+00:09:26,770 --> 00:09:35,250
+عكس الأولى، يبقى هذه decreasing sequence،
+
+93
+00:09:35,250 --> 00:09:43,690
+يبقى هذه بتتناقص، نيجي لـ بعدها اه، واحد سالب نصف، ثلث،
+
+94
+00:09:43,690 --> 00:09:53,950
+سالب ربع، تزايد، لا تزايد ولا تناقص، يعني بتترجح،
+
+95
+00:09:53,950 --> 00:10:00,400
+طالعة ونازلة بنسميها oscillating sequence يعني
+
+96
+00:10:00,400 --> 00:10:05,740
+متتابعة متذبذبة موجبة سالبة موجبة سالبة طالعة و
+
+97
+00:10:05,740 --> 00:10:11,900
+نازلة ولا تشبيه زي الموجة يبقى هذه بسميها
+
+98
+00:10:11,900 --> 00:10:22,650
+oscillating sequence عيب تمام، امسك اللي بعدها صفر، صفر
+
+99
+00:10:22,650 --> 00:10:24,970
+.5، 0.2، 0.3، 0.4، 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0
+
+100
+00:10:24,970 --> 00:10:26,450
+.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0
+
+101
+00:10:26,450 --> 00:10:30,930
+.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0
+
+102
+00:10:30,930 --> 00:10:30,970
+.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0
+
+103
+00:10:30,970 --> 00:10:35,630
+.4, 0.4, 0.4,
+
+104
+00:10:38,750 --> 00:10:40,910
+0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4, 0.4,
+
+105
+00:10:40,910 --> 00:10:49,530
+0.4, 0
+
+106
+00:10:49,530 --> 00:10:58,740
+.4, 0. سيكوانس رقم
+
+107
+00:10:58,740 --> 00:11:08,540
+ستة بدلًا أقول اللي هو the sequence with
+
+108
+00:11:09,700 --> 00:11:17,400
+A1 يساوي 1 الحد الأول يساوي واحد وال A N زائد واحد
+
+109
+00:11:17,400 --> 00:11:26,260
+يساوي A N على N زائد واحد بدنا نعرف إيه الشكل لهذه
+
+110
+00:11:26,260 --> 00:11:34,040
+الـ sequence يبقى is computed as
+
+111
+00:11:34,040 --> 00:11:43,200
+follow نروح نحسبها كالتالي اللي بقى هنا الحد الأول هو
+
+112
+00:11:43,200 --> 00:11:49,350
+بواحد بالنسبة للحد الثاني هذه العلاقة اللي عندنا يا
+
+113
+00:11:49,350 --> 00:11:54,090
+شباب زي ما أنتم شايفينه بتربط بين الحد النوني
+
+114
+00:11:54,090 --> 00:11:59,370
+زائد واحد والحد النوني تمام؟ يبقى هذه العلاقة
+
+115
+00:11:59,370 --> 00:12:03,570
+بتربط بين الحد النوني زائد واحد والحد النوني من
+
+116
+00:12:03,570 --> 00:12:08,730
+خلال هذه العلاقة اللي بنسميها العلاقة التكرارية أو
+
+117
+00:12:08,730 --> 00:12:14,010
+Recurrent relation يبقى من خلالها بقدر أجيب مين؟
+
+118
+00:12:14,010 --> 00:12:19,120
+بقدر أجيب باقي الحدود كيف؟ بأجي بقول أنا بدي A اثنين
+
+119
+00:12:19,120 --> 00:12:25,900
+بقدر أكتبه A واحد زائد واحد يبقى كأنه الواحد اللي
+
+120
+00:12:25,900 --> 00:12:32,240
+عندي هذا الأول هو جاء مكان مين؟ مكان ال N يبقى
+
+121
+00:12:32,240 --> 00:12:37,720
+بناء عليه بدي يعطيني A واحد على واحد زائد واحد
+
+122
+00:12:39,690 --> 00:12:45,870
+تمام؟ يبقى هذا الكلام بده يساوي A واحد على اثنين
+
+123
+00:12:45,870 --> 00:12:52,970
+طب A واحد عندي معطى يبقى بأجي بقول واحد على اثنين
+
+124
+00:12:52,970 --> 00:13:00,790
+طب خليه شوية نروح للحد الثالث A ثلاثة اللي بقدر
+
+125
+00:13:00,790 --> 00:13:07,110
+أكتبه A اثنين زائد واحد يبقى الآن جاء مكانها جداش 
+
+126
+00:13:07,110 --> 00:13:14,630
+ثنين يبقى هذه بدها تساوي اثنين على اثنين زائد واحد
+
+127
+00:13:14,630 --> 00:13:24,210
+اثنين وندي بجداش بنص على ثلاثة يعني واحد على ستة
+
+128
+00:13:24,210 --> 00:13:31,670
+طيب هذا الكلام يساوي واحد على الستة هذه أليست هي 
+
+129
+00:13:31,670 --> 00:13:37,140
+مضروبة في التلاتة؟ مضروبة في تلاتة تلاتة في اثنين في واحد
+
+130
+00:13:37,140 --> 00:13:41,440
+و احنا تلاتة في اثنين في واحد يساوي ستة إذا هذه
+
+131
+00:13:41,440 --> 00:13:48,920
+بقدر أكتبها واحد على تلاتة factorial يبقى الحد
+
+132
+00:13:48,920 --> 00:13:55,080
+الثالث صار هو واحد على تلاتة factorial الحد الثاني
+
+133
+00:13:55,080 --> 00:14:01,240
+النص أو بقدر أكتب واحد على اثنين factorial يعني
+
+134
+00:14:01,240 --> 00:14:04,600
+واحد على مضروب اثنين، مضروب اثنين، اثنين في واحد
+
+135
+00:14:04,600 --> 00:14:09,080
+اللي هو باثنين يكفي؟ لأ بيكفيش، شوف اللي طب الرابع
+
+136
+00:14:09,080 --> 00:14:15,760
+ايه شكله يبقى لو جينا للـA أربعة بقدر أقول A تلاتة
+
+137
+00:14:15,760 --> 00:14:24,160
+على تلاتة زائد واحد ويساوي A تلاتة اللي هو بسدس على 
+
+138
+00:14:24,160 --> 00:14:30,380
+أربعة، يعني واحد على أربعة وعشرين الأربعة وعشرين هي
+
+139
+00:14:30,380 --> 00:14:35,660
+عبارة عن مين على مضروب الأربعة أربعة في تلاتة في
+
+140
+00:14:35,660 --> 00:14:39,480
+اثنين في واحد هي اللي بأربعة وعشرين إذا واحد على
+
+141
+00:14:39,480 --> 00:14:45,820
+أربعة وعشرين وهكذا يبقى أربعة مضروب الأربعة تلاتة
+
+142
+00:14:45,820 --> 00:14:49,900
+مضروب التلاتة اثنين مضروب اثنين ها دي فاقدر أقول
+
+143
+00:14:49,900 --> 00:14:54,880
+ايها مضروب الواحد كمان ما فيش غيره إذا لو ضليت
+
+144
+00:14:54,880 --> 00:15:04,260
+مستمرة وصلت ل a n يساوي واحد على n factorial إذا
+
+145
+00:15:04,260 --> 00:15:15,350
+أصبحت the sequence has الحد الأول واحد أو واحد على 
+
+146
+00:15:15,350 --> 00:15:21,130
+واحد factorial الحد الثاني اللي هو واحد على اثنين
+
+147
+00:15:21,130 --> 00:15:25,890
+factorial الحد الثالث واحد على تلاتة factorial
+
+148
+00:15:25,890 --> 00:15:31,490
+الحد الرابع واحد على أربعة factorial نظل ماشي
+
+149
+00:15:31,490 --> 00:15:36,930
+لغاية واحد على ان factorial إلى ما شاء الله أو ان
+
+150
+00:15:36,930 --> 00:15:43,890
+شيئتم فقولوا 1 على N factorial يبقى بناء على اتعرفت
+
+151
+00:15:43,890 --> 00:15:48,770
+على شكل ال sequence من خلال المعلومتين اللي أعطاه
+
+152
+00:15:48,770 --> 00:15:54,030
+هم لي مش ميعطيني شكل ال sequence لكن ميعطيني الحد
+
+153
+00:15:54,030 --> 00:15:58,110
+الأول وميعطيني علاقة بتربط بين الحد النوني زائد
+
+154
+00:15:58,110 --> 00:16:01,730
+واحد والحد النوني، إذا من خلالها قدرت أجيب
+
+155
+00:16:01,730 --> 00:16:06,150
+المجموعة الأولى من الحدود وبالتالي اتعرفت على شكل
+
+156
+00:16:06,150 --> 00:16:09,510
+ال sequence اللي عندنا هذه
+
+157
+00:16:12,720 --> 00:16:17,520
+الآن بدي أروح لل convergence و ال divergence تبع
+
+158
+00:16:17,520 --> 00:16:21,000
+ال sequence بدي أعرف وقتش بقدر أقول أن ال sequence
+
+159
+00:16:21,000 --> 00:16:25,360
+converge و وقتش ال sequence بتكون diverged يبقى
+
+160
+00:16:25,360 --> 00:16:31,580
+اليكم التعريف التالي definition for
+
+161
+00:16:31,580 --> 00:16:38,000
+the sequence for
+
+162
+00:16:38,000 --> 00:16:41,640
+the sequence a,n 
+
+163
+00:16:43,180 --> 00:16:52,340
+limit لما ال N tends to infinity لل A N لل
+
+164
+00:16:52,340 --> 00:16:59,360
+A N exists موجودة
+
+165
+00:16:59,360 --> 00:17:14,770
+we say that we say that the sequence A N converge
+
+166
+00:17:14,770 --> 00:17:18,670
+and
+
+167
+00:17:18,670 --> 00:17:30,190
+if limit للان لما الان تنسى الانفينيتي does not
+
+168
+00:17:30,190 --> 00:17:31,030
+exist
+
+169
+00:18:03,070 --> 00:18:10,780
+قبل ما أمسح اللوح هنا بدي أناقش هال series هدول هل
+
+170
+00:18:10,780 --> 00:18:14,300
+هما converge و لا diverge من خلال ال definition
+
+171
+00:18:14,300 --> 00:18:18,840
+اللي احنا حاطينه إذا أنا لو عندي أي sequence مثل
+
+172
+00:18:18,840 --> 00:18:21,700
+هذه ال sequence بدي أحكم عليها converge و لا
+
+173
+00:18:21,700 --> 00:18:26,880
+diverge بروح بأخذ الحد النوني في ال sequence هه و
+
+174
+00:18:26,880 --> 00:18:31,040
+بأخذ له ال limit إذا والله ال limit كانت exist
+
+175
+00:18:31,040 --> 00:18:35,620
+موجودة بقول إن ال sequence هذه converge وإذا ال
+
+176
+00:18:35,620 --> 00:18:38,640
+limit does not exist بقول إن ال sequence هذه ما
+
+177
+00:18:38,640 --> 00:18:44,700
+لها dive in طيب تعالوا نمسكهم واحدة واحدة طبعا
+
+178
+00:18:44,700 --> 00:18:48,860
+ما بديش أمسك القلم و أحسب بإنما شافه تمام؟ بعد شوية
+
+179
+00:18:48,860 --> 00:18:52,580
+بنوطيك بعض الأمثلة لو جات لل sequence اللي عنها دي
+
+180
+00:18:52,580 --> 00:18:59,090
+2 4 6 8 لغاية 2 N تتوقع أنت تكون converge أو
+
+181
+00:18:59,090 --> 00:19:04,590
+diverge؟ الـDiverge ستبقى موجه إلى ما لا نهاية،
+
+182
+00:19:04,590 --> 00:19:09,450
+لذلك هذا الـDiverge sequence. لماذا؟ لأن إذا جئت
+
+183
+00:19:09,450 --> 00:19:13,610
+تأخذ الـLimit لحد انهم اثنين ان لما الان تذهب إلى
+
+184
+00:19:13,610 --> 00:19:15,770
+ما لا نهاية، فتصبح الاثنين في ما لا نهاية،
+
+185
+00:19:15,770 --> 00:19:19,570
+ما لا نهاية يبقى sequence الـDiverge. طيب، لو
+
+186
+00:19:19,570 --> 00:19:21,990
+جئت للسيكوينس اللي عندنا هذا، تريد أن تعرف أنه
+
+187
+00:19:21,990 --> 00:19:27,260
+converge أو diverge؟ converge لمن؟ لذي تتقارب لذي
+
+188
+00:19:27,260 --> 00:19:31,860
+هو واحد، أقل منه نص، أقل تلت، رابع، خمس، ست، سبع،
+
+189
+00:19:31,860 --> 00:19:35,720
+يبقى هادي جاعد كل حد بين قوسين اللي جاب له وكله رايح
+
+190
+00:19:35,720 --> 00:19:39,900
+علوين على الـ zero بقول ال sequence هذه convert
+
+191
+00:19:39,900 --> 00:19:46,140
+امسك رقم تلاتة هذه واحد ناقص نص تلت ناقص ربع كده
+
+192
+00:19:46,140 --> 00:19:51,860
+الاخر يطلع و ينزل لكن اللي طلع طلع علوين واللي نزل
+
+193
+00:19:51,860 --> 00:19:56,740
+نزل علوين تعالى طل على الموجب الموجب اللي عندك هنا
+
+194
+00:19:56,740 --> 00:20:03,590
+واحد بعد الواحد نزلت علوين للتلت بعدها تنزل للخمس،
+
+195
+00:20:03,590 --> 00:20:08,190
+بعدها للسبع أيام، تروح على ويام، على ال zero. امسك
+
+196
+00:20:08,190 --> 00:20:14,010
+السالب. سالب نص وبعدها سالب ربع. من اللي أكبر؟
+
+197
+00:20:14,010 --> 00:20:18,330
+سالب نص ولا سالب ربع؟ سالب ربع أكبر من سالب نص.
+
+198
+00:20:18,410 --> 00:20:23,790
+يبقى ال series مالها طالعة. يبقى طالع، سالب ربع،
+
+199
+00:20:23,790 --> 00:20:28,630
+سالب سدس، سالب تمان وهكذا يبقى طالع إلى أين؟ إلى
+
+200
+00:20:28,630 --> 00:20:31,830
+الـ Zero يبقى على كل الأمرين الـ Oscillating
+
+201
+00:20:31,830 --> 00:20:36,090
+Sequence هذه رايحة إلى الـ Zero يبقى الـ Sequence
+
+202
+00:20:36,090 --> 00:20:42,470
+هذه تتحرك لكن لو راحت لرقمين مختلفين بقول ال limit
+
+203
+00:20:42,470 --> 00:20:47,150
+does not exist كما سنرى من بعض الأمثلة بعد قليل
+
+204
+00:20:47,310 --> 00:20:51,070
+يعني الـ Oscillating Sequence قد تكون Convergent و
+
+205
+00:20:51,070 --> 00:20:56,390
+قد تكون Divergent أما الـ Sequence اللي بعد هذه N
+
+206
+00:20:56,390 --> 00:21:00,910
+ناقص واحد على N، Zero نصف، ثلثين، تلت أربع، أربع
+
+207
+00:21:00,910 --> 00:21:08,590
+أحمس، خمسة أسلاس، ستة أسماء، تتوقع
+
+208
+00:21:08,590 --> 00:21:13,420
+أين رايحة؟ الواحد الذي قال لي infinity كلامه ليس
+
+209
+00:21:13,420 --> 00:21:17,960
+صحيح والذي قال لي zero كمان كلامه ليس صحيح لماذا
+
+210
+00:21:17,960 --> 00:21:22,700
+يا ساعدة هتبقى تطلالي في ال bus و المقام إذا ما نقص
+
+211
+00:21:22,700 --> 00:21:26,220
+واحد علينا ال bus أكبر من المقام يبقى هذا أكثر أقل
+
+212
+00:21:26,220 --> 00:21:31,400
+من الواحد الصحيح و لن يصل الواحد الصحيح برايح لوين
+
+213
+00:21:31,400 --> 00:21:34,580
+الواحد الصحيح يعني بمعنى لو بدي أخد له ال limit
+
+214
+00:21:34,870 --> 00:21:38,310
+حالياً ال limit لما ال n بدأ تروح للملايين بقدر أش 
+
+215
+00:21:38,310 --> 00:21:43,530
+واحد صحيح تمام يبقى ال sequence هذه مالها converge
+
+216
+00:21:43,530 --> 00:21:49,930
+رغم أنها increasing اطلع هذه increasing لكن كانتش
+
+217
+00:21:49,930 --> 00:21:58,990
+diverse هذه increasing لكنها converge طيب هذه قنفير
+
+218
+00:21:58,990 --> 00:22:04,110
+لمن؟ للخمسة لأن هذه constant sequence مهما تتغير
+
+219
+00:22:04,110 --> 00:22:08,910
+الحدود، ما عنديش إلا رقم خمسة يبقى هذا اللي هو
+
+220
+00:22:08,910 --> 00:22:12,850
+convert نجي لل sequence اللي عندنا هذا، امشي صرف
+
+221
+00:22:12,850 --> 00:22:19,080
+بالشكل اللي عندنا هذا، ايش بطلعها؟ 1 1 1 1 1 1 1 1
+
+222
+00:22:19,080 --> 00:22:23,620
+1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
+
+223
+00:22:23,620 --> 00:22:23,700
+1
+
+224
+00:22:34,450 --> 00:22:38,850
+بين دون ما ناخذ limit بس من شكل ال sequence ان هذي
+
+225
+00:22:38,850 --> 00:22:41,970
+ممكن تكون convergent وهذي ممكن تكون divergent إلى
+
+226
+00:22:41,970 --> 00:22:47,010
+آخره إذا نبدأ في اعطاء بعض الأمثلة على الكلام اللي
+
+227
+00:22:47,010 --> 00:22:48,590
+احنا بنقوله هذا
+
+228
+00:23:19,130 --> 00:23:23,850
+بدأ نعطي بعض الأمثلة على هذا الكلام فاكتب لي
+
+229
+00:23:23,850 --> 00:23:31,950
+example الأول
+
+230
+00:23:31,950 --> 00:23:32,590
+مثال
+
+231
+00:23:37,570 --> 00:23:48,990
+الآن نمرة اثنين ان لما
+
+232
+00:23:48,990 --> 00:23:54,710
+الان تنزل الانفينيتي تروح للانفينيتي
+
+233
+00:23:57,770 --> 00:24:06,230
+السيكوانس كذلك واحد على ان تتعامل مع السبب بسبب
+
+234
+00:24:06,230 --> 00:24:10,490
+أنه ال limit لواحد على ان لما الان تتعامل مع
+
+235
+00:24:10,490 --> 00:24:16,110
+الانفينيتي سيكون السبب جداش؟ نمرة تلاتة
+
+236
+00:24:20,340 --> 00:24:30,380
+كمان n-1 على n converge because limit لما ال n
+
+237
+00:24:30,380 --> 00:24:36,280
+tends to infinity ل ال n ناقص واحد على n بده يساوي
+
+238
+00:24:36,280 --> 00:24:41,240
+limit لما ال n tends to infinity ل واحد ناقص واحد
+
+239
+00:24:41,240 --> 00:24:50,060
+على n هدف zero بيعطيني جداش واحد صحيح نمرة أربعة the
+
+240
+00:24:50,060 --> 00:24:59,300
+sequence اللي همين سالب واحد to the power n plus
+
+241
+00:24:59,300 --> 00:25:04,700
+one بدي أشوف هل هذه ال sequence converge ولا
+
+242
+00:25:04,700 --> 00:25:10,280
+diverge خليني أتعرف على حدودها في الأول الحد الأول
+
+243
+00:25:10,280 --> 00:25:15,680
+عندين يساوي واحد بجدير بواحد الحد الثاني عندين
+
+244
+00:25:15,680 --> 00:25:20,920
+اثنين بسالب واحد الحد الثالث بواحد سالب واحد و
+
+245
+00:25:20,920 --> 00:25:25,980
+هكذا سالب واحد to the power ان plus one و فاصلة
+
+246
+00:25:25,980 --> 00:25:30,900
+الأخرى ال sequence هذي converge ولا diverge؟
+
+247
+00:25:36,480 --> 00:25:41,520
+Limit تترجح بين two different limits خلّيني أذكركم
+
+248
+00:25:41,520 --> 00:25:46,540
+بشيء مشابه في calculus E بجينا نجي عن النقطة اللي
+
+249
+00:25:46,540 --> 00:25:50,140
+تدالة غير معرفة عندها وناخد ال limit من اليمين و
+
+250
+00:25:50,140 --> 00:25:53,970
+ال limit من الشمال إذا ال limit من اليمين اختلفت عن 
+
+251
+00:25:53,970 --> 00:25:56,950
+ال limit في الشمال يبقى يقول limit ما لها، it does
+
+252
+00:25:56,950 --> 00:26:02,410
+not exist وهنا بنفس المفهوم فبجي بقول this
+
+253
+00:26:02,410 --> 00:26:15,370
+sequence diverges because it has two different
+
+254
+00:26:15,370 --> 00:26:18,690
+limits
+
+255
+00:26:20,290 --> 00:26:27,370
+الأمامين واحد and سالب واحد قيمتين مختلفتين يبقى
+
+256
+00:26:27,370 --> 00:26:32,210
+ال sequence هذه ما لها diverged لأن ال limit does
+
+257
+00:26:32,210 --> 00:26:38,130
+not exist يبقى هذه النقطة الرابعة بدنا نيجي لأول
+
+258
+00:26:38,130 --> 00:26:45,930
+نظرية عن نظريات النهايات the theorem النظرية
+
+259
+00:26:45,930 --> 00:26:56,790
+بتقول ما تفترض let اللي هو ال a in and ال b in بي
+
+260
+00:26:56,790 --> 00:27:03,490
+sequences of real numbers بي sequences of real
+
+261
+00:27:03,490 --> 00:27:08,770
+numbers and
+
+262
+00:27:08,770 --> 00:27:12,750
+let وافترض 
+
+263
+00:27:12,750 --> 00:27:29,820
+أن ال a and ال b الـ a will be real numbers
+
+264
+00:27:29,820 --> 00:27:39,380
+عداد حقيقية if limit لل a when n tends to infinity
+
+265
+00:27:39,380 --> 00:27:47,510
+يساوي ال a and limit للـ BN لما الـ N tends to
+
+266
+00:27:47,510 --> 00:27:57,010
+infinity بده يساوي capital B then نمرة واحد limit
+
+267
+00:27:57,010 --> 00:28:05,790
+لما الـ N tends to infinity لمن؟ ل ال A N زائد أو
+
+268
+00:28:05,790 --> 00:28:13,890
+ناقص ال BN يساوي A زائد أو ناقص ال B نمرة اتنين
+
+269
+00:28:15,840 --> 00:28:23,440
+limit لما ال N tends to infinity لمن؟ لل A N في ال
+
+270
+00:28:23,440 --> 00:28:35,200
+B N بده يساوي ال A في ال B نمرة تلاتة limit لما ال
+
+271
+00:28:35,200 --> 00:28:45,200
+N tends to infinity لمن؟ لل K في ال B N يساوي ال K
+
+272
+00:28:45,200 --> 00:28:51,760
+في ال B و ال K is
+
+273
+00:28:51,760 --> 00:28:59,200
+a real number نمرة أربعة
+
+274
+00:29:17,650 --> 00:29:23,470
+النظرية الثانية هي الـ sandwich theorem
+
+275
+00:29:31,270 --> 00:29:45,530
+بتنص على ما يأتي let ال a n و ال b n and ال c n be
+
+276
+00:29:45,530 --> 00:29:52,030
+sequences of real numbers be sequences of real
+
+277
+00:29:52,030 --> 00:29:56,910
+numbers sequences
+
+278
+00:29:56,910 --> 00:30:00,330
+of real numbers
+
+279
+00:30:03,800 --> 00:30:15,100
+إذا الان أقل من أو يساوي bn أقل من أو يساوي cn for
+
+280
+00:30:15,100 --> 00:30:28,700
+all n for all n beyond some
+
+281
+00:30:28,700 --> 00:30:37,870
+index n index n and
+
+282
+00:30:37,870 --> 00:30:47,270
+if وإذا كان limit للان لما الان تنسى الانفينيتي
+
+283
+00:30:47,270 --> 00:30:56,330
+بده يساوي limit لما الان تنسى الانفينيتي لل cn بده
+
+284
+00:30:56,330 --> 00:31:05,100
+يساوي ال then limit لما ال in tends to infinity ل
+
+285
+00:31:05,100 --> 00:31:14,080
+ال b in بده يساوي مين؟ بده يساوي ال examples
+
+286
+00:31:14,080 --> 00:31:18,600
+find
+
+287
+00:31:18,600 --> 00:31:24,260
+a formula
+
+288
+00:31:24,260 --> 00:31:30,140
+for the
+
+289
+00:31:30,140 --> 00:31:37,960
+nth term then term of the following sequences of
+
+290
+00:31:37,960 --> 00:31:49,980
+the following sequences and determine and
+
+291
+00:31:49,980 --> 00:31:53,640
+determine
+
+292
+00:31:53,640 --> 00:31:57,660
+حددly if
+
+293
+00:32:07,280 --> 00:32:17,040
+أول نقطة ليها واحد ربع تسعة واحد على ستاشر وواحد
+
+294
+00:32:17,040 --> 00:32:18,720
+على خمسة وعشرين
+
+295
+00:32:24,120 --> 00:32:28,960
+الآن أنا نظريتين لو دققت النظر فيهم بتلاقيهم هما
+
+296
+00:32:28,960 --> 00:32:34,240
+نفس النظريتين تبعات ال functions العادية التي درست
+
+297
+00:32:34,240 --> 00:32:38,940
+في calculus a ولذلك عند حساب ال limit بالنسبة لل
+
+298
+00:32:38,940 --> 00:32:44,400
+sequences بدك تتعامل معاها تمام بنفس النظريات اللي
+
+299
+00:32:44,400 --> 00:32:48,830
+كنا بنتعامل فيها مع ال functions هذه التعقيد
+
+300
+00:32:48,830 --> 00:32:52,230
+النظرية الأولى بيقول لك لو عندك two sequences
+
+301
+00:32:52,230 --> 00:32:58,830
+لأعداد حقيقية وعندك a وb عبارة عن real numbers
+
+302
+00:32:58,830 --> 00:33:02,450
+أخذت ال limit للحد النوني لل sequence الأولى اللي
+
+303
+00:33:02,450 --> 00:33:07,550
+جاء له a وال limit للتانية كان يساوي b. فجأة نهاية
+
+304
+00:33:07,550 --> 00:33:13,110
+المجموع الجبري للحدين النونيين سواء بالزائد أو 
+
+305
+00:33:13,110 --> 00:33:18,490
+بالنقص بدها تساوي المجموع الجبري للنهايتين يعني ايش
+
+306
+00:33:18,490 --> 00:33:22,530
+معنى هذا الكلام ان ال limit بتخش على الأول و كذلك
+
+307
+00:33:22,530 --> 00:33:27,490
+بتدخل عالميا على الثاني و هيك بيعطيني a زائد
+
+308
+00:33:27,490 --> 00:33:31,770
+أو ناقص b لو كانوا ضرب برضه ال limit بتخش على
+
+309
+00:33:31,770 --> 00:33:34,790
+الأول و بتخش على التاني limit الأول بa و limit
+
+310
+00:33:34,790 --> 00:33:39,970
+التاني بb يبقى التنتين مضغوطات في بعض نهاية مقدار
+
+311
+00:33:39,970 --> 00:33:44,430
+ثابت في دالة نقول المقدار الثابت في نهاية الدالة
+
+312
+00:33:44,430 --> 00:33:49,050
+هنا نقول المقدار الثابت في نهاية الحد النوني
+
+313
+00:33:49,050 --> 00:33:55,070
+لسيكوينس حيث K عدد حقيقي حتى الآن لم نأتي بجديد
+
+314
+00:33:55,070 --> 00:34:00,350
+limit خارج قسمة الحدين النونيين لتو سيكوينس بدها
+
+315
+00:34:00,350 --> 00:34:03,590
+تساوي limit ال bus على limit المقام يعني ال limit
+
+316
+00:34:03,590 --> 00:34:08,830
+بتدخل على ال bus وبتدخل على المقام بشرط المقام
+
+317
+00:34:08,830 --> 00:34:13,930
+الممنوع يتساوي 0 لأنه يصبح undefined ماهياش معرفة،
+
+318
+00:34:13,930 --> 00:34:18,570
+إذا الأربع نقاط هدول هما نفس النقاط الأربع تبع
+
+319
+00:34:18,570 --> 00:34:22,810
+مين؟ تبع ال functions نجي للساندوش تيروم، برضه
+
+320
+00:34:22,810 --> 00:34:26,290
+اللي أخذناها في ال calculus A بإننا نسحبها هنا
+
+321
+00:34:26,290 --> 00:34:30,270
+عالميا على ال sequences نقول لو عندي three
+
+322
+00:34:30,270 --> 00:34:37,000
+sequences A, B, C, D of real numbers وكان الحد
+
+323
+00:34:37,000 --> 00:34:41,880
+النوني لسيكوينس الأولى أقل من أو يساوي الحد النوني
+
+324
+00:34:41,880 --> 00:34:45,780
+لسيكوينس الثانية أقل من أو يساوي الحد النوني
+
+325
+00:34:45,780 --> 00:34:52,640
+لسيكوينس الثالثة for all in beyond some index n.
+
+326
+00:34:52,740 --> 00:34:58,200
+ايش معناه beyond بالعربي؟ ماذا يعني؟ خلف، ورا أو
+
+327
+00:34:58,200 --> 00:35:02,700
+خلف، تمام؟ يعني ايش قصد يقول بالعبارة هذه؟ يقول آه
+
+328
+00:35:02,700 --> 00:35:07,940
+استنى شوية، هو قال إن ال quality هذه صحيحة لكل
+
+329
+00:35:07,940 --> 00:35:14,250
+ال N beyond some index N بجيب بالدراب ده من عند n
+
+330
+00:35:14,250 --> 00:35:18,010
+تساوي واحد يبقى بجيب الحد الأول في ال sequence
+
+331
+00:35:18,010 --> 00:35:20,870
+الأولى والحد الأول في ال sequence الثانية والحد
+
+332
+00:35:20,870 --> 00:35:25,930
+الأول في ال sequence الثالثة إذا والله لجيت هذا a
+
+333
+00:35:25,930 --> 00:35:30,730
+واحد أجل من b واحد أجل من c واحد يبقى ال index ده
+
+334
+00:35:30,730 --> 00:35:31,670
+بيكون جداش
+
+335
+00:35:38,450 --> 00:35:46,470
+أجل من B1 لكن B1 مش أجل من C1 يبقى بنفع عند الواحد،
+
+336
+00:35:46,470 --> 00:35:50,350
+يبقى بنسيب الواحد، بنروح للاتنين. يمكن عند اتنين
+
+337
+00:35:50,350 --> 00:35:53,550
+أنا اجي نفس الجثة. الحد الأول أجل من الحد الثاني،
+
+338
+00:35:53,550 --> 00:35:57,050
+لكن الحد الثاني ما هواش أجل من الحد التالت. سيب
+
+339
+00:35:57,050 --> 00:36:00,970
+اتنين وواحد تالت. اللي جيت عند الخمسة، فما فوق
+
+340
+00:36:00,970 --> 00:36:06,370
+هذه الانقلة صحيحة. يعني اللي جيت الحد الخامس أجل من
+
+341
+00:36:06,370 --> 00:36:09,530
+أو يساوي الحد الخامس هنا، أجل من أو يساوي الحد
+
+342
+00:36:09,530 --> 00:36:13,450
+الخامس هنا، من عند الخمسة، فصح أيضا. يبقى ال index
+
+343
+00:36:13,450 --> 00:36:19,030
+عند الهوغر بياش n capital هذا يساوي خمسة يبقى ال n
+
+344
+00:36:19,030 --> 00:36:23,410
+كلها تصحيحة من عند n يساوي خمسة فما فوق يبقى كأن
+
+345
+00:36:23,410 --> 00:36:28,790
+الأربعة حدود الأولى لا قيمة لها عند حساب ال
+
+346
+00:36:28,790 --> 00:36:33,690
+limit بقوله كويس يبقى هذه النقطة الأولى تحققت أن
+
+347
+00:36:33,690 --> 00:36:38,550
+ال a n أقل من b n أقل من c n لكل ال n اللي بتيجي
+
+348
+00:36:38,550 --> 00:36:43,340
+بعد الرقم مثلا خمسة الشرق الأول حقه الشرق الثاني
+
+349
+00:36:43,340 --> 00:36:48,740
+رحت خات limit للحد الأول و limit للحد الأول
+
+350
+00:36:48,740 --> 00:36:52,400
+الأخير أو لل sequence الأولى و ال sequence الأخيرة
+
+351
+00:36:52,400 --> 00:36:57,380
+التنتين جاءت ال two limits are equal كل واحدة فيهم
+
+352
+00:36:57,380 --> 00:37:01,680
+تساوي ال مثلا يبقى ال Automatic اللي في المص اللي
+
+353
+00:37:01,680 --> 00:37:06,680
+متلها بقداش بدها تكون ب L هذا معنى ال sandwich
+
+354
+00:37:06,680 --> 00:37:11,840
+theorem السؤال هو هل اختلف مفهوم النظرية هذه عن
+
+355
+00:37:11,840 --> 00:37:15,640
+sandwich theorem بتابع الدوال؟ لا، ما حصلش اختلاف
+
+356
+00:37:15,640 --> 00:37:19,560
+ولا حاجة، إذا نفس النظرية صحيحة على ال sequences
+
+357
+00:37:19,560 --> 00:37:23,720
+نبدأ نطبق الكلام اللي احنا بنقوله في النظريتين على
+
+358
+00:37:23,720 --> 00:37:29,970
+مجموعة من الأمثلة بقول لي هات لي صيغة للحد النوني لكل
+
+359
+00:37:29,970 --> 00:37:34,430
+sequence من ال sequences التالية طيب جيت شكل الحد
+
+360
+00:37:34,430 --> 00:37:39,010
+النوني MDT هم محدد إن هذه ال sequence بتبقى
+
+361
+00:37:39,010 --> 00:37:43,730
+converge ولا diverge بقوله كويس باجي أدقق النظر
+
+362
+00:37:43,730 --> 00:37:48,190
+في الحدود اللي عندي هل البسط بيتغير لأ المقام
+
+363
+00:37:48,190 --> 00:37:53,950
+بتغير اه هنا المقام باعتباره واحد هنا
+
+364
+00:38:00,400 --> 00:38:04,320
+يبقى شكل الحد النوني
+
+365
+00:38:04,320 --> 00:38:19,920
+ههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههههه
+
+366
+00:38:40,280 --> 00:38:46,940
+النتيجة كم؟ يبقى ال sequence لأن هذه مالها converge
+
+367
+00:38:46,940 --> 00:38:54,160
+هذا بده يعطيك ال sequence واحد على ان تربيع
+
+368
+00:38:54,160 --> 00:39:00,740
+converge وانت هنا من هنا خلي sequence ثاني دي مرة
+
+369
+00:39:00,740 --> 00:39:09,060
+اتنين sequence الثانية ال zero تلاتة تمانية Zero
+
+370
+00:39:09,060 --> 00:39:15,200
+تلاتة تمانية خمستاشر
+
+371
+00:39:15,200 --> 00:39:22,900
+أربعة وعشرين وهكذا تمام؟ نريد أن نرى شكل الحد
+
+372
+00:39:22,900 --> 00:39:28,860
+النوني لهذه ال sequence بقوله بسيط هذا الكلام دقيق
+
+373
+00:39:28,860 --> 00:39:38,320
+النظر في الأرقام اللي عندك هي Zero، تلاتة، تمانية،
+
+374
+00:39:38,320 --> 00:39:47,320
+خمستاشر، أرقام متتالية بدقة، مظبوط؟ إن تربيع ناقص
+
+375
+00:39:47,320 --> 00:39:51,760
+واحد وممتاز جدا يبقى لما أقول واحد تربيع ناقص واحد 
+
+376
+00:39:51,760 --> 00:39:56,320
+بصفر لما أقول اثنين تربيع بتساوي أربعة ناقص واحد 
+
+377
+00:39:56,320 --> 00:40:01,400
+ثلاثة لما أقول ثلاثة تربيع بتساوي تسعة ناقص واحد بتساوي ثمانية
+
+378
+00:40:01,400 --> 00:40:08,840
+وهكذا إذا هذه اللي هي إن تربيع ناقص واحد تمام؟ يبقى
+
+379
+00:40:08,840 --> 00:40:14,460
+هي كتبنا شكل الحد الـ n اللي بتروح آخد limit لما الـ
+
+380
+00:40:14,460 --> 00:40:20,700
+n tends to infinity لمن؟ لـ اللي هو الـ n تربيع
+
+381
+00:40:20,700 --> 00:40:25,800
+ناقص واحد كده بيعطينا infinity يبقى الـ sequence
+
+382
+00:40:25,800 --> 00:40:33,280
+مالها الـ sequence اللي هو n تربيع ناقص واحد مالها
+
+383
+00:40:33,280 --> 00:40:41,160
+by the تمام؟ ناخد كمان sequence أخرى يبقى نمرة
+
+384
+00:40:41,160 --> 00:40:48,920
+ثلاثة بدأ آخد الـ sequence واحد ثلاثة واحد ثلاثة
+
+385
+00:40:48,920 --> 00:40:57,480
+ونظل ماشيين على هالشغل هذه بدأ أحط شكل الحد الـ n
+
+386
+00:40:57,480 --> 00:41:03,300
+عبارة عن إيه؟ ها يلا
+
+387
+00:41:08,940 --> 00:41:14,620
+معناته في رقم وفي إشارة سالبة، سالبة موجبة، سالبة
+
+388
+00:41:14,620 --> 00:41:22,400
+موجبة، سالبة
+
+389
+00:41:22,400 --> 00:41:23,980
+موجبة، سالبة موجبة، سالبة موجبة، سالبة موجبة،
+
+390
+00:41:23,980 --> 00:41:24,220
+سالبة موجبة، سالبة موجبة، سالبة موجبة، سالبة
+
+391
+00:41:24,220 --> 00:41:24,240
+موجبة، سالبة موجبة، سالبة موجبة، سالبة موجبة،
+
+392
+00:41:24,240 --> 00:41:24,260
+موجبة، سالبة موجبة، سالبة موجبة، سالبة موجبة،
+
+393
+00:41:24,260 --> 00:41:25,060
+سالبة موجبة، سالبة موجبة، سالبة موجبة، سالبة
+
+394
+00:41:25,060 --> 00:41:27,260
+موجبة، سالبة موجبة، سالبة موجبة، سالبة موجبة،
+
+395
+00:41:27,260 --> 00:41:28,760
+سالبة موجبة، سالبة موجبة، سالبة
+
+396
+00:41:33,080 --> 00:41:40,760
+كداش؟ كيف كيف؟ ليس صحيح لأ واحد زائد أو ناقص اثنين
+
+397
+00:41:40,760 --> 00:41:47,300
+اثنين واحد زائد اثنين لا مش صحيح برضه طيب شوف
+
+398
+00:41:47,300 --> 00:41:55,920
+الاثنين ناقص يلا شوف أو زائد
+
+399
+00:42:18,780 --> 00:42:25,900
+يبقى الكلام سليم مائة بالمائة طيب الـ sequence اللي
+
+400
+00:42:25,900 --> 00:42:33,160
+عام هذه converge ولا diverge؟ يبقى هادى by there
+
+401
+00:42:33,160 --> 00:42:42,360
+because it oscillate between
+
+402
+00:42:42,360 --> 00:42:50,340
+two different limits
+
+403
+00:42:50,340 --> 00:42:58,640
+اللي هما واحد and ثلاثة المرة الجاية بنكمل إن شاء
+
+404
+00:42:58,640 --> 00:42:58,880
+الله
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/dDx0Ho9ebxY_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/dDx0Ho9ebxY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8f882a4f9a723e032850e3626214b25e8d99cf45
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/dDx0Ho9ebxY_raw.srt
@@ -0,0 +1,1340 @@
+1
+00:00:12,060 --> 00:00:18,680
+نكمل سيكشن 11-3 اللى ابتدأنا فيه المرة الماضية وهو
+
+2
+00:00:18,680 --> 00:00:23,210
+ال polar coordinatesالمرة الفاتة كنا بنحول نقطة من
+
+3
+00:00:23,210 --> 00:00:26,830
+polar coordinates إلى cartesian coordinates والعكس
+
+4
+00:00:26,830 --> 00:00:29,330
+نقطة من cartesian coordinates إلى polar
+
+5
+00:00:29,330 --> 00:00:33,450
+coordinates ثم معادلات نحولها من polar coordinates
+
+6
+00:00:33,450 --> 00:00:38,070
+إلى cartesian coordinatesباقي علينا مثال هى و بدنا
+
+7
+00:00:38,070 --> 00:00:42,810
+ناخده مثال أربعة اللى هو بيقول replace the
+
+8
+00:00:42,810 --> 00:00:45,730
+following Cartesian equation by its equivalent
+
+9
+00:00:45,730 --> 00:00:50,710
+polar equations يبقى احنا بدنا نروح نحول المعادلات
+
+10
+00:00:50,710 --> 00:00:55,290
+الكارتيزية اللى عندنا الى معادلات قطبية على أكس
+
+11
+00:00:55,290 --> 00:01:00,930
+آخر مثال أخدناه المرة الماضيةيبدأ المعادلات مواطعة
+
+12
+00:01:00,930 --> 00:01:05,070
+في الصيغة الكارتزية بدي أحولها إلى الصيغة القطبية
+
+13
+00:01:05,070 --> 00:01:09,730
+بدي أذكر تذكير بالمعادلة تبعات التحويل قبل أن نبدأ
+
+14
+00:01:09,730 --> 00:01:14,570
+التحويل اللي مكتوب معاكم في المرة الماضية أخدنا
+
+15
+00:01:14,570 --> 00:01:19,330
+المعادلة الأولى فكانت المعادلة الأولى X يساوي R في
+
+16
+00:01:19,330 --> 00:01:26,380
+Cos الزاوية ثيتا وY تساوي R في Sin الزاوية ثيتاومن
+
+17
+00:01:26,380 --> 00:01:31,640
+هاتين المعادلتين كنا بناخد إحداثي قديم x و y
+
+18
+00:01:31,640 --> 00:01:37,340
+بدلالة إحداثيين إجداد اللي هم r و theta هناخد الآن
+
+19
+00:01:37,340 --> 00:01:41,640
+اللي هو إحداثي جديد بدلالة الإحداثيين اتنين
+
+20
+00:01:41,640 --> 00:01:48,270
+الأقدامفبجي بقول تان ثيتا بده يساوي Y على X أو ال
+
+21
+00:01:48,270 --> 00:01:55,310
+R تربيع بده يساوي X تربيع زائد Y تربيع تمام؟ يبجي
+
+22
+00:01:55,310 --> 00:01:59,290
+ان R تربيع يساوي X تربيع يبجي هذه المعادلات الأربع
+
+23
+00:01:59,290 --> 00:02:03,740
+اللي من خلالها بنحول من Polar إلى Cartesianأو من
+
+24
+00:02:03,740 --> 00:02:08,620
+كارتيزيا إلى polar يبقى بإذن الله نجيه solution
+
+25
+00:02:08,620 --> 00:02:15,060
+للسؤال الأول نمره ايه؟ بدي أشيل كل y و أحط مكانها
+
+26
+00:02:15,060 --> 00:02:20,740
+r sin θ و أشيل كل x و أحط مكانها r في cosine
+
+27
+00:02:20,740 --> 00:02:25,600
+الزاوية θ تمام؟ يبقى المعادلة اللي بيقولي y تربيها
+
+28
+00:02:25,600 --> 00:02:32,500
+تساوي 4x يبقى عندك ال y بيبقى r في sin الزاوية θ
+
+29
+00:02:33,210 --> 00:02:41,130
+تربيع يبقى لكل تربيع تساوي أربعاء فيه ال X الهي ب
+
+30
+00:02:41,130 --> 00:02:46,950
+R Cos Theta يبقى هي ال R Cos Theta إذا كتبنا
+
+31
+00:02:46,950 --> 00:02:51,570
+المعادلة الكارتزية المعطاة كتبناها في الصيغة
+
+32
+00:02:51,570 --> 00:02:57,690
+القطبيةبنحاول نرتب شكل المعادلة هذه شوية فهذه لو
+
+33
+00:02:57,690 --> 00:03:02,870
+جينا فكتبناها بطريقة أخرى R تربيع في Sin تربيع
+
+34
+00:03:02,870 --> 00:03:10,910
+ثيتا ماقص أربعة R في Cos الزاوية ثيتا يساوي Zero
+
+35
+00:03:10,910 --> 00:03:16,900
+إذا بدنا نحاول ناخدعامل مشترك ونشوف ايش اللي بدي
+
+36
+00:03:16,900 --> 00:03:22,400
+يحصل يبقى لو أخدنا R عامل مشترك بصير عندنا R في
+
+37
+00:03:22,400 --> 00:03:28,260
+sin تربية ثيتا ماقص اربعة كوصين الزاوية ثيتا كله
+
+38
+00:03:28,260 --> 00:03:34,820
+بدي ساوي كده؟ بدي ساوي Zeroهذا معناه يا إما الار
+
+39
+00:03:34,820 --> 00:03:43,320
+بدها تساوي zero يا إما الار بدها تساوي أربعة كوصين
+
+40
+00:03:43,320 --> 00:03:49,550
+ثيتا على مين على صين تربيع ثيتايبقى يا إما هذا
+
+41
+00:03:49,550 --> 00:03:53,990
+بيساوي Zero يا إما القُس هذا بيساوي Zero هذا نجلته
+
+42
+00:03:53,990 --> 00:03:57,290
+على الشجة التانية فصار أربعة كوساين تيتا عالميا
+
+43
+00:03:57,290 --> 00:04:03,990
+على ساين تربيع تيتا أو يا إما ال R بدها تساوي Zero
+
+44
+00:04:03,990 --> 00:04:12,640
+يا إما ال R تساوي الاربعة خليها زي ما هيبدأ أقول
+
+45
+00:04:12,640 --> 00:04:17,940
+cos على sin في 1 على sin cos على sin اللي هي كتان
+
+46
+00:04:17,940 --> 00:04:27,140
+و 1 على sin بكوسيكن يبقى أربعة اللي هو كتان ثيتا
+
+47
+00:04:27,140 --> 00:04:33,530
+كوسيكن تمين كوسيكن ثيتا بالشكل اللي عندنا هذايبقى
+
+48
+00:04:33,530 --> 00:04:37,970
+قلة المعادلة الكارتزية تمثلها معادلتان أخرى يعني
+
+49
+00:04:37,970 --> 00:04:44,040
+هذا بالنسبة للنقطة A بالنسبة للنقطة Bالنقطة B
+
+50
+00:04:44,040 --> 00:04:52,020
+بيقول X ناقص خمسة لكل تربيع زائد Y تربيع يسوى 25
+
+51
+00:04:52,020 --> 00:04:58,340
+طبعا ماعنديش هنا في المعادلات تقول X ناقص خمسة إذا
+
+52
+00:04:58,340 --> 00:05:02,680
+بدأ فك الجثة هدا و نشوف شو اللي بده يحصل معنا إذا
+
+53
+00:05:02,680 --> 00:05:08,800
+لو جيت فكيت الجثة هدا و بده يكون X تربيع ناقص عشرة
+
+54
+00:05:08,800 --> 00:05:16,430
+Xزائد خمسة وعشرين زائد Y تربية كله بدى يساوي كده؟
+
+55
+00:05:16,430 --> 00:05:23,610
+خمسة وعشرين طلع لي كويس هنا بدى اخد X تربية زائد Y
+
+56
+00:05:23,610 --> 00:05:29,710
+تربية مع بعضهم بيظل ناقص عشرة X هذا الكلام بدى
+
+57
+00:05:29,710 --> 00:05:33,630
+يساوي Zero ودينا الخمسة وعشرين عند الخمسة وعشرين
+
+58
+00:05:33,630 --> 00:05:38,330
+يساوي Zeroبعد ما بسطت المعادلة و كتبتها في ثوب
+
+59
+00:05:38,330 --> 00:05:43,610
+جديد او في شكل جديد بدنا نروح نكتبها بالصيغة
+
+60
+00:05:43,610 --> 00:05:49,290
+القطبيةالـ X تربية زي الـ Y تربية جاهزة علنا اللي
+
+61
+00:05:49,290 --> 00:05:55,490
+عبارة عن مين R تربية يبقى هذه R تربية ناقص عشرة
+
+62
+00:05:55,490 --> 00:06:01,150
+وهذه جاهزة R في Cos الزاوية ثيتا يساوي Zero إذا
+
+63
+00:06:01,150 --> 00:06:06,710
+ممكن ناخد R عن المشترك بظل R ناقص عشرة Cos ثيتا
+
+64
+00:06:06,710 --> 00:06:11,090
+بده يساوي Zero يبقى يا إما الـ R بدها تساوي Zero
+
+65
+00:06:11,090 --> 00:06:16,870
+يا إما الـ R بدها تساوي عشرةيوجد كوسايم الزاوية C
+
+66
+00:06:16,870 --> 00:06:22,050
+يعني الشكل هذا أو الشكل هذا لإطنين C يعني توقف إلى
+
+67
+00:06:22,050 --> 00:06:27,990
+هنا انتهى ال section إليكم أربع باعي ال C ولا يهمك
+
+68
+00:06:27,990 --> 00:06:34,670
+أين أمرها Cنمر ال C ممكن اخل ال X و ال Y في الشجة
+
+69
+00:06:34,670 --> 00:06:40,630
+والاعداد في ناحية اخرى يمكن ممكن اقول ال X و Y
+
+70
+00:06:40,630 --> 00:06:49,030
+بدوا يساوي تسعة ارباع او ال X اللي R Cos θ وهذه R
+
+71
+00:06:49,030 --> 00:06:58,430
+Sin θ بدوا يساوي تسعة ارباعممكن اخل ال R تربيه في
+
+72
+00:06:58,430 --> 00:07:06,090
+ناحية و 9 على 4 Sine Theta Cosine Theta يعني جسمنا
+
+73
+00:07:06,090 --> 00:07:10,590
+الطرفين على Sine Theta Cosine Theta لغاية بدها
+
+74
+00:07:10,590 --> 00:07:19,150
+تساوي 9 على 2 Sine 2 Theta يعني الأربعة اعتبرناها
+
+75
+00:07:19,150 --> 00:07:28,760
+هذه 2فى اتنين فى sin θ cos θ sin θ cos θ هذه كلها
+
+76
+00:07:28,760 --> 00:07:34,480
+sin اتنين ثيتا احنا مابدناش R تربيه بدنا R يبقى
+
+77
+00:07:34,480 --> 00:07:42,660
+بروح ندله R تساوي الزائد او ناقص تلاتة على جذر
+
+78
+00:07:42,660 --> 00:07:50,690
+اتنين لمين لsin اتنين ثيتا بهذا الشكليبقى هذا
+
+79
+00:07:50,690 --> 00:07:54,810
+المعادلة القطبية المناظرة للمعادلة الكارثية ال
+
+80
+00:07:54,810 --> 00:07:59,750
+land land هنا stop اليكم ارقام المسائل الخاصة بهذا
+
+81
+00:07:59,750 --> 00:08:07,070
+section وهو section 11 3 يبقى exercises 11 3
+
+82
+00:08:07,070 --> 00:08:16,290
+المسائل التالية من 1 ل 67 اللي هو ال multiple
+
+83
+00:08:18,660 --> 00:08:20,960
+multiple of three
+
+84
+00:08:25,830 --> 00:08:32,730
+طيب ننتقل الان الى ال section اللذي يليه وهو طريقة
+
+85
+00:08:32,730 --> 00:08:38,610
+الرسم في الإحداثيات القطبية بنشوف كيف بنرسم
+
+86
+00:08:38,610 --> 00:08:45,770
+الملحانيات المختلفة في الإحداثيات القطبية وسنقسم
+
+87
+00:08:45,770 --> 00:08:50,970
+هذا ال section أو الجزء النظري لهذا ال section إلى
+
+88
+00:08:50,970 --> 00:08:57,540
+نقطتينالنقطة الأولى اللى هى ال symmetry التماثل
+
+89
+00:08:57,540 --> 00:09:02,800
+والنقطة الثانية اللى هى ال slope يبقى بدنا نجى
+
+90
+00:09:02,800 --> 00:09:07,620
+للنقطة الأولى يبقى graphing in polar coordinates
+
+91
+00:09:07,620 --> 00:09:18,560
+section 11 أربعة graphing in polar coordinates
+
+92
+00:09:22,950 --> 00:09:30,710
+يبقى الرسم في الإحداثيات القطبية اول نقطة في هذا
+
+93
+00:09:30,710 --> 00:09:33,250
+ال section بدنا ندرس هي symmetry
+
+94
+00:09:37,040 --> 00:09:42,780
+بناخد التماثل حوالين محور X أو حوالين ال polar
+
+95
+00:09:42,780 --> 00:09:48,380
+axis ثم التماثل حوالين محور Y أو الخط θ تسوى Y على
+
+96
+00:09:48,380 --> 00:09:55,680
+2 ثم تماثل حوالين نقطة الأصل هذه التماثلات الثلاثة
+
+97
+00:09:55,680 --> 00:10:02,300
+التي سندرسها نبدأ من التماثل الأول التماثل الأول
+
+98
+00:10:02,300 --> 00:10:03,740
+اللي هو ال symmetry
+
+99
+00:10:06,440 --> 00:10:17,580
+about symmetry about the x axis هذا شو معناه؟
+
+100
+00:10:17,580 --> 00:10:32,040
+means that if the point r و theta lies on
+
+101
+00:10:32,040 --> 00:10:42,980
+the graphثم نقطة الهومين
+
+102
+00:10:42,980 --> 00:10:59,220
+ا و سالب ثيتا او سالب ا و باين ناقص ثيتا موجودة
+
+103
+00:10:59,220 --> 00:11:12,510
+على الجرافي النقطة الثانيةسيمتري عن
+
+104
+00:11:12,510 --> 00:11:16,550
+الواي
+
+105
+00:11:16,550 --> 00:11:28,810
+أكسيز يعني أنه إذا كانت النقطة ر أو ثيتا
+
+106
+00:11:43,740 --> 00:11:52,700
+إذا كان الوضع R وثيتا على المقاطع
+
+107
+00:11:52,700 --> 00:11:57,340
+فالوضع
+
+108
+00:11:57,340 --> 00:12:02,380
+R
+
+109
+00:12:02,380 --> 00:12:11,800
+و بي ناقص ثيتا او سلب R و سلب ثيتا
+
+110
+00:12:13,450 --> 00:12:23,310
+on the graph النقطة الثالثة والاخيرة symmetry
+
+111
+00:12:23,310 --> 00:12:27,390
+about
+
+112
+00:12:27,390 --> 00:12:42,890
+the origin شو معناها هذه means that if the point
+
+113
+00:12:45,160 --> 00:12:55,060
+ار وثيتا موجودة على الجرافة
+
+114
+00:12:55,060 --> 00:13:13,120
+ثم نقطة سالب ار وثيتا او ار و باى زائد ثيتا موجودة
+
+115
+00:13:13,120 --> 00:13:14,160
+على الجرافة
+
+116
+00:13:19,910 --> 00:13:34,470
+نقطة مهمة ملاحظة Any two symmetries gives
+
+117
+00:13:34,470 --> 00:13:37,550
+the
+
+118
+00:13:37,550 --> 00:13:44,330
+third symmetry
+
+119
+00:14:37,190 --> 00:14:40,830
+العنوان اللى احنا رافعينه اللى هو graph in polar
+
+120
+00:14:40,830 --> 00:14:47,070
+coordinates الرسم في الإحداثيات الققبية وروحنا
+
+121
+00:14:47,070 --> 00:14:52,510
+أخدنا أول عنوان هو ال symmetry طب استنى شويةأحنا
+
+122
+00:14:52,510 --> 00:14:57,310
+في كل كلصية بقينا ناخد الرسم البياني للمنحنيات بس
+
+123
+00:14:57,310 --> 00:15:02,990
+في الإحداثيات الكارتزية و بقينا نروح على المنحنى و
+
+124
+00:15:02,990 --> 00:15:07,810
+نجيب تقاطعه مع محورية الإحداثيات و بعدين نعمله
+
+125
+00:15:07,810 --> 00:15:11,270
+اشتقاق و نجيب ال local maximum و ال local minimum
+
+126
+00:15:11,270 --> 00:15:14,690
+و ال critical points و ال concave up و ال concave
+
+127
+00:15:14,690 --> 00:15:19,570
+down و ال reflection points و ال asymptotes in وجه
+
+128
+00:15:19,570 --> 00:15:24,030
+ذاته و بعدين بنروح نرسمهينالرسمة بتبعتنا، هذا
+
+129
+00:15:24,030 --> 00:15:28,210
+الكلام عفى عليه الزمن، هذا كنا بنوصف الإحداث
+
+130
+00:15:28,210 --> 00:15:33,470
+الكارتزية، لكن هنا إحداثيات جديدة، موضوع ال
+
+131
+00:15:33,470 --> 00:15:38,210
+symmetryبابل اللي هو الكلام اللي ذكرناه قبل قليل
+
+132
+00:15:38,210 --> 00:15:41,010
+ال local maximum و ال local minimum و ال concave و
+
+133
+00:15:41,010 --> 00:15:45,570
+up و ال inflection و ما إلى ذلك هذا كله سنستعيد
+
+134
+00:15:45,570 --> 00:15:50,970
+عنه مين بالتماثل لما قول تماثل بالنسبة لمحور X لو
+
+135
+00:15:50,970 --> 00:15:55,950
+جيت تخيلت هذا محور X إذا الرسم اللي أعلى محور X
+
+136
+00:15:55,950 --> 00:16:00,220
+بتبقى زي مين؟زي الرصمة اللى أسفل محور X بس مجلوب و
+
+137
+00:16:00,220 --> 00:16:04,060
+بدل ما كانت فوق بيصير ايه تحت هذا معنى التماثل
+
+138
+00:16:04,060 --> 00:16:08,400
+بالنسبة لمحور X تماثل بالنسبة لمحور Y يعني الرصمة
+
+139
+00:16:08,400 --> 00:16:12,140
+اللى على اليمين Z تساوي او زي الرصمة اللى على ميم
+
+140
+00:16:12,140 --> 00:16:17,410
+على الإشمال تماثل بالنسبة لنقطة ال origin فمثلالو
+
+141
+00:16:17,410 --> 00:16:22,930
+قلت أنا واقف في ال origin يبقى أي نقطة على يمين ال
+
+142
+00:16:22,930 --> 00:16:29,390
+origin ستظهر نقطة على شمالها وعلى نفس البعد من
+
+143
+00:16:29,390 --> 00:16:34,650
+نقطة الاصلإن حدث ذلك بيقول في تماثل بالنسبة لما ..
+
+144
+00:16:34,650 --> 00:16:40,670
+لنقطة الأصل، هذا كلام بلدي لكن بدنا نروح نحطه
+
+145
+00:16:40,670 --> 00:16:47,740
+رياضي على أرض الواقع بالرسم والعبارات الرياضيةنمسك
+
+146
+00:16:47,740 --> 00:16:52,000
+النقطة الأولى هي symmetry about the x axis التمثل
+
+147
+00:16:52,000 --> 00:16:56,460
+حول محورك شو معناه؟ معناه that if the point r و
+
+148
+00:16:56,460 --> 00:17:01,900
+theta lies on the graph يعني لو عندي منحنى مرسوم و
+
+149
+00:17:01,900 --> 00:17:07,540
+بدي ابحث هل هوهذا المنحنى متمثل بالنسبة لمحور X
+
+150
+00:17:07,540 --> 00:17:13,380
+ولا لأ باخد اي نقطة موجودة علي مخدتش نقطة بعينها
+
+151
+00:17:13,380 --> 00:17:18,420
+لأ R و ثيتا اي نقطة تقع على المنحنى ان وقعت هذه
+
+152
+00:17:18,420 --> 00:17:24,060
+النقطة على المنحنى يجب ان تقع النقطة R و سالب ثيتا
+
+153
+00:17:24,060 --> 00:17:29,730
+على المنحنى طيب لو هذه ما وقعتشبجيب مين؟ النقطة
+
+154
+00:17:29,730 --> 00:17:35,050
+المكافئة لها، تمام؟ مين النقطة المكافئة لها؟ خلّيت
+
+155
+00:17:35,050 --> 00:17:40,170
+R هنا بالسالم و في المقابل اضفت هنا by وهذا ما
+
+156
+00:17:40,170 --> 00:17:44,850
+ذكرناه في المحاضرة الماضية، مظبوط؟ طيب كويس، بجيبه
+
+157
+00:17:44,850 --> 00:17:51,520
+ليا اما R وناقص θيا اما سالب R وبع ناقص T تتقع
+
+158
+00:17:51,520 --> 00:17:56,460
+الملحانة هذه او تلك السؤال الذي يدور في دماغ
+
+159
+00:17:56,460 --> 00:18:02,530
+الكثير منكم طب من وين هذه أجت؟ نزلتالبراشوت والله
+
+160
+00:18:02,530 --> 00:18:09,490
+إلها قاعدة علمية تعال تطلع معايا كويس هنا لو جيت
+
+161
+00:18:09,490 --> 00:18:16,130
+قلت هاي المحاور هذا اللي هو محور X وهذا محور Y أو
+
+162
+00:18:16,130 --> 00:18:22,370
+θ تساوي 0 و θ تساوي π على 2 كارتيزين أو بولر
+
+163
+00:18:22,370 --> 00:18:31,100
+ونفترض إن هذه النقطةلـ P R و θ وقعت وين؟ على
+
+164
+00:18:31,100 --> 00:18:37,780
+المنحنى روحت وصلت منها لنقطة الأصل فكان هذا R و
+
+165
+00:18:37,780 --> 00:18:43,560
+الزاوية هذه هي الزاوية θ لصناعة مع الاتجاه الموجب
+
+166
+00:18:43,560 --> 00:18:49,620
+لل polar axis بقول كويسأنا بدي أدعي أن هذا المنحنى
+
+167
+00:18:49,620 --> 00:18:55,260
+متمثل بالنسبة لمحور X يبقى أي نقطة أعلى محور X
+
+168
+00:18:55,260 --> 00:19:02,420
+ستظهر نقطة أسفل محور X وعلى نفس البعد تبع النقطة
+
+169
+00:19:02,420 --> 00:19:09,140
+لأن هذه R وZ بمعنى أخر لو جيت نزلت عمود من هنا على
+
+170
+00:19:09,140 --> 00:19:16,470
+محور X ومديته على استقامتهبقدر طوله للنقطة هذه و
+
+171
+00:19:16,470 --> 00:19:20,330
+جيت وصلت بالشكل اللي عندنا هذا بدي يكون هذا main
+
+172
+00:19:20,330 --> 00:19:25,770
+هذا R لكن الزاوية اللي مشيناها زاوية مالها سالبة
+
+173
+00:19:25,770 --> 00:19:30,330
+يبقى هذه ناقص theta بصير النقطة هذه اليحداتي تبعها
+
+174
+00:19:30,330 --> 00:19:38,970
+R وناقص thetaأو النقطة المكافئة لها الهيمين النقطة
+
+175
+00:19:38,970 --> 00:19:43,690
+اللي بتكافئها تماما ممكن اخلي هذه بالسالب و اروح ل
+
+176
+00:19:43,690 --> 00:19:49,630
+theta اضفلها اللي هو مية وتمانين درجة الهيمين يبقى
+
+177
+00:19:49,630 --> 00:19:54,180
+واضحة ليش شيلت theta و حطيت مكانها ناقص thetaالسبب
+
+178
+00:19:54,180 --> 00:19:57,820
+ان هذي كانت طوية صارت طوية صارت تحت بالشكل اللي
+
+179
+00:19:57,820 --> 00:20:03,440
+عندنا هذا فقلنا ار و ثيتا لو وقعت على المنحنة لازم
+
+180
+00:20:03,440 --> 00:20:08,280
+النقطة ار و لاقص ثيتا او النقطة المكافية لها هذي
+
+181
+00:20:08,280 --> 00:20:13,320
+ما لها تقع على المنحنة ايش يعني؟ طب ليش هذي او
+
+182
+00:20:13,320 --> 00:20:17,160
+هذي؟ بنقولك المرة اللي خدنا مثال كان المثال
+
+183
+00:20:17,160 --> 00:20:20,720
+بيقوللي السؤال هو هل هذه النقطة تقع على المنحنة
+
+184
+00:20:20,720 --> 00:20:25,410
+ولا لا مش هيك السؤال كام؟و روحنا أخدنا ثيتا اللي
+
+185
+00:20:25,410 --> 00:20:28,950
+أطالي و عوضت في المسألة ما طلعتش هي أعري اللي
+
+186
+00:20:28,950 --> 00:20:32,430
+موجودة عندنا و قولنا طب استنى شوية نجيب النقطة
+
+187
+00:20:32,430 --> 00:20:35,110
+المكافئة لها فروحنا جيبنا النقطة المكافئة لها
+
+188
+00:20:35,110 --> 00:20:39,290
+لقينا تقع ايه؟ على المنحنى، لذلك باجي بقول لو
+
+189
+00:20:39,290 --> 00:20:43,730
+النقطة هذه لقيتها على المنحنى، بيكون خلاص كفى الله
+
+190
+00:20:43,730 --> 00:20:46,740
+في المؤمنين القتالي، مالاقيتهاشيبقى إذا كنت تروح
+
+191
+00:20:46,740 --> 00:20:50,860
+تجيب main النقطة المكافئة لأن ما لقتهاش يبقى
+
+192
+00:20:50,860 --> 00:20:57,140
+المنحنى غير متمثل بالنسبة لنقطة الاصل طيب إيش معنى
+
+193
+00:20:57,140 --> 00:21:01,520
+تمثل بالبلد هيك يعني من استوعبها؟ بقولك بسيطة جدا
+
+194
+00:21:03,060 --> 00:21:08,320
+كيف بسيطة جدا؟ لو جيت على معادلة المنحلة وشيلت كل
+
+195
+00:21:08,320 --> 00:21:14,080
+θ وحطيت مكانها سالب θ ولاقيت المعادلة بقيت كما هي
+
+196
+00:21:14,080 --> 00:21:19,310
+دون تغيير، إذا المنحلة متمثل بالنسبة لها معورة Xطب
+
+197
+00:21:19,310 --> 00:21:23,770
+لجيتها مش هي المعادلة المطالة عند الأصلية بروح
+
+198
+00:21:23,770 --> 00:21:29,490
+للنقطة المكافئة له و بشيل كل θ و بحط مكانها بإناقص
+
+199
+00:21:29,490 --> 00:21:33,010
+θ و بفك المعادلة اللي عندي ان طلعت المعادلة
+
+200
+00:21:33,010 --> 00:21:38,150
+الأصلية دون تغيير بقول المنحنة متمثل بالنسبة لمحور
+
+201
+00:21:38,150 --> 00:21:42,750
+Xإذا ما طلعتش المعادلة يعني التنتين النقطتين وما
+
+202
+00:21:42,750 --> 00:21:49,210
+وجدتهمش يبقى المنحنة غير متماثل بالنسبة لمحور X طب
+
+203
+00:21:49,210 --> 00:21:53,930
+نيجي للنقطة التانية محور Y بنفس المفهوم إذا أنا
+
+204
+00:21:53,930 --> 00:22:00,650
+بدي أخد المحاور عندي بهذا الشكلهذا محور X وهذا
+
+205
+00:22:00,650 --> 00:22:07,570
+محور Y أو ثيتا تساوي Zero وهنا ثيتا تساوي باي على
+
+206
+00:22:07,570 --> 00:22:14,290
+اتنين وهذه النقطة PR وثيتا اللى كنا بنتكلم عليها
+
+207
+00:22:14,290 --> 00:22:21,750
+قبل قليل وهذه R وهذه الزاوية اليمين هي ثيتالما قلت
+
+208
+00:22:21,750 --> 00:22:26,370
+مثل بالنسبة لمحور Y يبقى النقطة اللي وقعت عليها من
+
+209
+00:22:26,370 --> 00:22:32,250
+المحور لازم ألاقي نقطة على شمال المحور وعلى نفس
+
+210
+00:22:32,250 --> 00:22:36,970
+البعد بالشكل اللي عندنا هذا، دي النقطة دي، هدول
+
+211
+00:22:36,970 --> 00:22:43,770
+اتنين جت بعض زي ما هدول المسافتين جت بعض تمامابقول
+
+212
+00:22:43,770 --> 00:22:48,390
+ايوة يبقى لو جيت وصلت بالشكل اللي عندنا هذا بتبقى
+
+213
+00:22:48,390 --> 00:22:52,690
+الزاوية هذه من ناحية المقدار هذه ثيتا اذا الزاوية
+
+214
+00:22:52,690 --> 00:23:00,050
+هذه كلها باي ناقص ثيتا يعني الزاوية اللي بيعملها
+
+215
+00:23:00,050 --> 00:23:06,310
+لار مع مين مع الاتجاه الموجب لل polar axisيبقى لو
+
+216
+00:23:06,310 --> 00:23:12,690
+وقعت النقطة PR و θ على المنحلة فإن النقطة R وπ
+
+217
+00:23:12,690 --> 00:23:20,550
+ناقص θ تقع على المنحلة R النقطة المكافئة لها سالب
+
+218
+00:23:20,550 --> 00:23:28,990
+R وهنا سنذهب ونضيف باي كم يصبح هذا؟ اتنين باي ناقص
+
+219
+00:23:28,990 --> 00:23:33,690
+ثيتا، مظبوط؟ يبقى بصير عندي الزاوية اتنين باي ناقص
+
+220
+00:23:33,690 --> 00:23:38,660
+ثيتا، بقول استنى شويةلأربع نسب مُثلثية الصين
+
+221
+00:23:38,660 --> 00:23:44,420
+والكوسين والسكت والكوسيكت ال period إلها 2π يعني
+
+222
+00:23:44,420 --> 00:23:48,140
+لو كان عند أي واحدة من النسب الأربعة شيلت 2π والله
+
+223
+00:23:48,140 --> 00:23:52,420
+تخليها ماتفرجش عندنا طب لو كانتان أو كتان ال
+
+224
+00:23:52,420 --> 00:23:56,960
+period باي واحدة يبقى 2π معناته ال period مرتين
+
+225
+00:23:56,960 --> 00:24:01,570
+برضه شيلتها يبقى بدنا نشيلها و نريح دماغنايبقى لو
+
+226
+00:24:01,570 --> 00:24:07,450
+شيلناها بنحط ناقص R وناقص θ تقع على المنحنى يا إما
+
+227
+00:24:07,450 --> 00:24:10,790
+النقطة هذه يا إما النقطة هذه يعني إيه؟ يعني لو
+
+228
+00:24:10,790 --> 00:24:15,290
+شيلنا θ وحطينا مكانها by ناقص θ طلعت المعادلة
+
+229
+00:24:15,290 --> 00:24:19,730
+الأصلية تبع المنحنى اللي هي R نقوله خلاص متمثل
+
+230
+00:24:19,730 --> 00:24:24,130
+بالنسبة لمحور Y ما طلعت ما نقوله استنى شوية بنروح
+
+231
+00:24:24,130 --> 00:24:28,070
+على مين على θ بنشيله ونحط مكانه ناقص θ ان طلعت
+
+232
+00:24:28,070 --> 00:24:33,000
+سالب Rبنقول في تماثل بالنسبة لمحور Y ما طلعتش يبقى
+
+233
+00:24:33,000 --> 00:24:37,920
+مافيش تماثل خالص للنقطة الأولى ولا للنقطة الثانية
+
+234
+00:24:37,920 --> 00:24:42,100
+يبقى هذا معنى التماثل بالنسبة لمحور Y بنانيج
+
+235
+00:24:42,100 --> 00:24:47,100
+التماثل بالنسبة لنقطة الأصل يبقى باجي بقوله هاي
+
+236
+00:24:47,100 --> 00:24:55,650
+المحاوروهذا محور X أو ثيتا تساوي Zero وهذا محور Y
+
+237
+00:24:55,650 --> 00:25:04,350
+أو ثيتا تساوي باي على اتنين وهذه النقطة P, R وثيتا
+
+238
+00:25:04,350 --> 00:25:10,110
+وهذه R لنقطة الأصل وهذه الزاوية ثيتا اللي هي
+
+239
+00:25:10,110 --> 00:25:16,990
+المولة فانا بلاك هنا لما قاعد أقول أنا واقف الآن
+
+240
+00:25:16,990 --> 00:25:21,360
+في نقطة الأصلوعندي نقطة على اليمين من الجلم الأزرق
+
+241
+00:25:21,360 --> 00:25:27,680
+هذا تمام؟ ماله؟ هذه نقطة موجودة على المنحلة فيه
+
+242
+00:25:27,680 --> 00:25:32,680
+تماثل عندي بالنسبة لنقطة الأصل إذا ستظهر نقطة من
+
+243
+00:25:32,680 --> 00:25:37,960
+الناحية التانية وعلى نفس البعد يبقى امتداد لمين؟
+
+244
+00:25:37,960 --> 00:25:41,900
+امتداد لل R اللي عندنا بسوان في الناحية التانية
+
+245
+00:25:41,900 --> 00:25:46,400
+لما كان هذا R ايش بدي يكون هذا؟ سالف R لكن فيه
+
+246
+00:25:46,400 --> 00:25:52,410
+تزايمهينتمام؟ يبقى هذا R و θ يبقى تظهر نقطة علم
+
+247
+00:25:52,410 --> 00:25:58,610
+تداده بالضغط بالشكل اللي عندنا هناكتمام؟ يبقى هذه
+
+248
+00:25:58,610 --> 00:26:05,090
+النقطة بيصير ناقص R و θ تقع على الملحنة أو النقطة
+
+249
+00:26:05,090 --> 00:26:11,370
+المكافئة لها شو النقطة المكافئة لها؟ بدنا نشيل R
+
+250
+00:26:11,370 --> 00:26:16,530
+السلبة و نحط بدالها R الموجبة و نروح على θ و
+
+251
+00:26:16,530 --> 00:26:22,060
+ننظفلها جداشباى، إن حدث ذلك يبقى فيه تماثل ما
+
+252
+00:26:22,060 --> 00:26:28,580
+هظبطش هذه بنروح نشيل θ ونحط مكانها θ زائد باى إذا
+
+253
+00:26:28,580 --> 00:26:33,940
+طلع عندي R الأصلية بيكون عندي المنحنى متماثل ما
+
+254
+00:26:33,940 --> 00:26:39,320
+طلعت ايه بيكون ماعنديش تماثل بالنسبة لنقطة الاصل
+
+255
+00:26:39,320 --> 00:26:43,800
+طيب بقيت نقطة أخيرة الملاحظة اللي احنا كتبينها هنا
+
+256
+00:26:43,800 --> 00:26:48,310
+تحتلو اخدت اي two stereometers اتحقق اتنين
+
+257
+00:26:48,310 --> 00:26:54,530
+automatic التالت متحقق يعني لو كان في تمثل بالنسبة
+
+258
+00:26:54,530 --> 00:26:58,470
+ل X و تمثل بالنسبة ل Y اذا هناك تمثل بالنسبة لمين
+
+259
+00:26:58,470 --> 00:27:03,030
+لل origin والعكس لو كان تمثل بالنسبة لل origin و
+
+260
+00:27:03,030 --> 00:27:07,670
+تمثل بالنسبة ل X يبقى في تمثل بالنسبة لمحور Y و
+
+261
+00:27:07,670 --> 00:27:14,150
+هكذا تمام؟قبل أن ناخد أمثلة تطبيقية على ذلك فيها
+
+262
+00:27:14,150 --> 00:27:18,790
+أن بقية نقطة نظري في هذا ال section وهي ال slope
+
+263
+00:27:18,790 --> 00:27:24,910
+تبعي المنحلة بدنا نروح نكتف هذه النقطة ومن ثم نذهب
+
+264
+00:27:24,910 --> 00:27:30,170
+إلى الأمثلة يبقى النقطة الثانية والأخيرة من هذا ال
+
+265
+00:27:30,170 --> 00:27:38,270
+section اللي هو ال slopeفبجي بقول if R تساوي F of
+
+266
+00:27:38,270 --> 00:27:50,150
+θ and ال X يساوي R cosine θ أو ال F of θ cosine θ
+
+267
+00:27:50,150 --> 00:27:58,430
+و ال Y يساوي R في صين الزاوية θ او F of θ في صين
+
+268
+00:27:58,430 --> 00:28:10,790
+الزاوية θ and ifالـ F is differentiable function
+
+269
+00:28:10,790 --> 00:28:17,370
+of θ then هاي
+
+270
+00:28:17,370 --> 00:28:22,030
+المركز هذا، بالذات إلى الإسلوب، الإسلوب اللي عنده
+
+271
+00:28:22,030 --> 00:28:28,220
+اللي هو main دي Y على دي Xالـ dy على dx كل واحدة
+
+272
+00:28:28,220 --> 00:28:38,740
+فيهم دالة في θ يبقى باقدر اكتبها dy على dθ على dx
+
+273
+00:28:38,740 --> 00:28:47,820
+على dθ بشرط ان dx على dθ مالهالا تساوي zero طب
+
+274
+00:28:47,820 --> 00:28:54,040
+كويس يبقى صار ليه slope بده يساوي بدنا نيجي ل dy
+
+275
+00:28:54,040 --> 00:29:00,800
+على d theta هذه كويس يبقى بدنا نشتاقها لو اشتقناها
+
+276
+00:29:00,800 --> 00:29:06,260
+هذه دالة وهذه دالة إذا المشتق بتحاصل ضربدالتين
+
+277
+00:29:06,260 --> 00:29:13,360
+مشتقة الدالة الأولى Df على Dθ في الـ sine الزاوية
+
+278
+00:29:13,360 --> 00:29:20,260
+ثيتا زائد F of ثيتا كما هي ومشتقة الـ sine بيكو
+
+279
+00:29:20,260 --> 00:29:28,110
+ساين الزاوية ثيتاهذا مين؟ هذا dy على dθ بدنا dx
+
+280
+00:29:28,110 --> 00:29:37,790
+على dθ يبقى df على dθ في cosine الزاوية θ ناقص
+
+281
+00:29:37,790 --> 00:29:43,710
+اللي هو f of θ في sine الزاوية θ لان اتفاض ال
+
+282
+00:29:43,710 --> 00:29:49,650
+cosine بمين؟ بسالب sinحابين نكتبها بدلالة الـR
+
+283
+00:29:49,650 --> 00:29:56,510
+ماعلناش مانع يبقى هذه تساوي R في صين الزاوية ثيتا
+
+284
+00:29:56,510 --> 00:30:03,150
+زائد طبعا R prime في صين الزاوية ثيتا زائد R في
+
+285
+00:30:03,150 --> 00:30:08,690
+كوصين الزاوية ثيتا كله على R prime في كوصين
+
+286
+00:30:08,690 --> 00:30:16,680
+الزاوية ثيتا ماقس R في صين الزاوية ثيتاطب لو جينا
+
+287
+00:30:16,680 --> 00:30:22,900
+حسبنا ال اسلوب عند نقطة الاصل، عند نقطة الاصل،
+
+288
+00:30:22,900 --> 00:30:28,320
+يبقى بدي اقعد ياخد الاسلوب عند نقطة الاصل، قداش
+
+289
+00:30:28,320 --> 00:30:30,280
+احداثي نقطة الاصل؟
+
+290
+00:30:33,480 --> 00:30:38,060
+زيرو وثيتانود ورسمنا المرة الماضية وحطنا سؤال
+
+291
+00:30:38,060 --> 00:30:44,980
+للرسم فطلعت نقطة الاصل زيرو وثيتانود بده يساوي اذا
+
+292
+00:30:44,980 --> 00:30:49,380
+بده يشيل كل R ويحط مكانها زيرو ويشيل كل ثيتا ويحط
+
+293
+00:30:49,380 --> 00:30:55,710
+مكانها ثيتانود اظن زيرو زيرو هدول بيروحوامش هيك؟
+
+294
+00:30:55,710 --> 00:31:03,510
+بيبقى لدي هنا R prime sine theta node على R prime
+
+295
+00:31:03,510 --> 00:31:09,210
+cosine theta node هذه هتروح مع هذه يبقى هذا بدي
+
+296
+00:31:09,210 --> 00:31:16,070
+اختيلك ان الاسلوب عند نقطة الاصل اللي هو zero و
+
+297
+00:31:16,070 --> 00:31:23,390
+theta node بدي ساوي tan theta nodeيبقى جميل
+
+298
+00:31:23,390 --> 00:31:30,170
+المنحنى عند نقطة الأصل هو عبارة عن تان في تانودة.
+
+299
+00:31:30,450 --> 00:31:36,770
+تمام؟ حد بدى يسأل لي سؤال قبل أن نذهب إلى الأمثلة؟
+
+300
+00:31:36,770 --> 00:31:39,390
+طيب، نذهب إلى الأمثلة.
+
+301
+00:32:08,180 --> 00:32:12,420
+المثال الأول examples
+
+302
+00:32:21,330 --> 00:32:34,130
+بقول find the slope of the curve R يساوي واحد ناقص
+
+303
+00:32:34,130 --> 00:32:45,170
+cosine زاوية theta at the point عند النقطة اللي هو
+
+304
+00:32:45,170 --> 00:32:53,160
+where thetaيساوي ناقص by على اتنين solution
+
+305
+00:33:03,470 --> 00:33:08,250
+السؤال بيقول يهتزي من المنحلة الموجودة في الصيغة R
+
+306
+00:33:08,250 --> 00:33:12,830
+تساوي واحد ناقص cosine الزاوية ثيتا عند النقطة
+
+307
+00:33:12,830 --> 00:33:18,770
+الثيتا عندها تساوي سالب باي على اتنين بقوله بسيطة
+
+308
+00:33:18,770 --> 00:33:25,440
+الاسلوب هيوجدنا هناك يبقى باجي بقوله الاسلوباللي
+
+309
+00:33:25,440 --> 00:33:32,220
+هو بده يساوي، اللي هو مين؟ دي F على دي ثيتا، والله
+
+310
+00:33:32,220 --> 00:33:37,140
+يشعرك أن أعوض دوري، أن أعوض دوري، ماشي يا سيدي،
+
+311
+00:33:37,140 --> 00:33:42,820
+وين ال F؟ هيها R هي function فيه ثيتا، ده مشتقت
+
+312
+00:33:42,820 --> 00:33:48,040
+هذي كدهش؟ الواحد ب zero والقصين بالسالب صين، بقصين
+
+313
+00:33:48,040 --> 00:33:59,320
+ثيتايبقى sin θ في sin θ زاد ال F لي واحد ناقص cos
+
+314
+00:33:59,320 --> 00:34:08,690
+θ في مين؟ في cos θكل هذا الكلام على df على dθ اللي
+
+315
+00:34:08,690 --> 00:34:16,390
+هي sin θ في cos θ ناقص ال F اللي هي واحد ناقص cos
+
+316
+00:34:16,390 --> 00:34:25,010
+θ في مين؟ في sin θ تماما زي مهلكات ميلابنروح نحسب
+
+317
+00:34:25,010 --> 00:34:32,310
+لسلوب هذا و أجدش عندما θ تساوي سالب بي على اتنين
+
+318
+00:34:32,310 --> 00:34:39,170
+إذا هشيل كل θ و أحط مكانها سالب بي على اتنين يبقى
+
+319
+00:34:39,170 --> 00:34:45,890
+صار sign تربية لسالب بي على اتنينSin في Sin في Sin
+
+320
+00:34:45,890 --> 00:34:52,850
+تربيع وهذه زائد واحد ناقص Cos لسالب بي على اتنين
+
+321
+00:34:52,850 --> 00:35:00,830
+في Cos لسالب بي على اتنين كله Sin لسالب بي على
+
+322
+00:35:00,830 --> 00:35:08,530
+اتنين Cos لسالب بي على اتنين واحد ناقص Cos لسالب
+
+323
+00:35:08,530 --> 00:35:16,730
+بي على اتنين في Sin لسالب بي على اتنينانا الكلام
+
+324
+00:35:16,730 --> 00:35:22,670
+يساوي لان ال sign even والله odd يعني السلب بيطلع
+
+325
+00:35:22,670 --> 00:35:30,150
+برا يبقى sign التسعين جديش؟ جديش sign التسعين؟
+
+326
+00:35:30,150 --> 00:35:35,210
+يبقى هاي السلب برا وهي الواحد تربيع يبقى هاي تربيع
+
+327
+00:35:35,210 --> 00:35:43,010
+اللي بعدها زائد واحد ناقص cosine even والله odd
+
+328
+00:35:43,730 --> 00:35:48,810
+يبقى السلب انسى، فده ال cosine value كده؟ بزيرو،
+
+329
+00:35:48,810 --> 00:35:53,270
+يبقى واحد ناقص زيرو، فمين في ال cosine ال zero
+
+330
+00:35:53,270 --> 00:35:58,970
+اللي هو بزيرو، على مين؟ على المقام، هذا اللي هو
+
+331
+00:35:58,970 --> 00:36:06,290
+بسلب واحد، وهذا بزيرو، وهذا ناقص واحد، ناقص زيرو،
+
+332
+00:36:06,290 --> 00:36:12,370
+كله في سلب واحديبقى النتيجة وتساوي واحد على واحد
+
+333
+00:36:12,370 --> 00:36:17,110
+ويساوي واحد.إذا الاسلوب تبع المنحنى اللي عندنا كان
+
+334
+00:36:17,110 --> 00:36:23,890
+يساوي قداش كان يساوي واحد صحيح على أي حال الآن
+
+335
+00:36:23,890 --> 00:36:27,270
+بدنا نروح للمثال اتنين وهو الرسم
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/f8V19WKYZak_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/f8V19WKYZak_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..c00596bfee0d6078010fca20e2c3124ef070e2ad
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/f8V19WKYZak_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2180, "start": 9.4, "end": 21.8, "text": "بسم الله الرحمن الرحيم المرة الماضية ابتدأنا في trigonometric integrals اللي هي التكاملات المجتملة على دوال مثلثية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 9673, 46958, 10632, 48127, 2655, 3215, 10721, 8315, 8978, 35386, 266, 29470, 3572, 1124, 13672, 1829, 39896, 16712, 4117, 10943, 1211, 9307, 9673, 7435, 39237, 37977, 15844, 11778, 2407, 6027, 50113, 1211, 12984, 10632], "avg_logprob": -0.13850204322649085, "compression_ratio": 1.4393939393939394, "no_speech_prob": 0.0, "words": [{"start": 9.4, "end": 10.8, "word": "بسم", "probability": 0.743408203125}, {"start": 10.8, "end": 11.04, "word": " الله", "probability": 0.96923828125}, {"start": 11.04, "end": 11.48, "word": " الرحمن", "probability": 0.9684244791666666}, {"start": 11.48, "end": 12.06, "word": " الرحيم", "probability": 0.9921875}, {"start": 12.06, "end": 13.42, "word": " المرة", "probability": 0.90869140625}, {"start": 13.42, "end": 14.14, "word": " الماضية", "probability": 0.9794921875}, {"start": 14.14, "end": 15.22, "word": " ابتدأنا", "probability": 0.9095703125}, {"start": 15.22, "end": 15.46, "word": " في", "probability": 0.88671875}, {"start": 15.46, "end": 16.32, "word": " trigonometric", "probability": 0.7254638671875}, {"start": 16.32, "end": 17.62, "word": " integrals", "probability": 0.970703125}, {"start": 17.62, "end": 17.86, "word": " اللي", "probability": 0.593017578125}, {"start": 17.86, "end": 18.06, "word": " هي", "probability": 0.88232421875}, {"start": 18.06, "end": 18.94, "word": " التكاملات", "probability": 0.96591796875}, {"start": 18.94, "end": 19.7, "word": " المجتملة", "probability": 0.9385986328125}, {"start": 19.7, "end": 19.96, "word": " على", "probability": 0.92919921875}, {"start": 19.96, "end": 20.54, "word": " دوال", "probability": 0.8245442708333334}, {"start": 20.54, "end": 21.8, "word": " مثلثية", "probability": 0.84521484375}], "temperature": 1.0}, {"id": 2, "seek": 4543, "start": 22.27, "end": 45.43, "text": "واخدنا اول نقطتين وابتدينا في النقطة التالتة النقطة الاولى كانت كامل ل sin أس mx cos nx dx واخدنا عليها بدل المثال خمسة امثلة ثم انتقلنا الى النقطة الثانية لحذف الجذور اللى فيها دوال مثلثية", "tokens": [2407, 47283, 3215, 8315, 1975, 12610, 8717, 47432, 2655, 9957, 4032, 16758, 2655, 16254, 8315, 8978, 28239, 47432, 3660, 16712, 6027, 2655, 3660, 28239, 47432, 3660, 42963, 12610, 7578, 25961, 2655, 9122, 10943, 1211, 5296, 3343, 5551, 3794, 275, 87, 3792, 297, 87, 30017, 4032, 47283, 3215, 8315, 25894, 11296, 47525, 1211, 9673, 12984, 6027, 16490, 2304, 3794, 3660, 1975, 2304, 12984, 37977, 38637, 2304, 16472, 2655, 4587, 1211, 8315, 2423, 7578, 28239, 47432, 3660, 6024, 104, 7649, 10632, 5296, 5016, 8848, 5172, 25724, 8848, 13063, 13672, 7578, 8978, 11296, 11778, 2407, 6027, 50113, 1211, 12984, 10632], "avg_logprob": -0.1516262780950994, "compression_ratio": 1.8444444444444446, "no_speech_prob": 0.0, "words": [{"start": 22.27, "end": 23.23, "word": "واخدنا", "probability": 0.8548583984375}, {"start": 23.23, "end": 23.87, "word": " اول", "probability": 0.8125}, {"start": 23.87, "end": 24.61, "word": " نقطتين", "probability": 0.8768310546875}, {"start": 24.61, "end": 25.23, "word": " وابتدينا", "probability": 0.91259765625}, {"start": 25.23, "end": 25.39, "word": " في", "probability": 0.634765625}, {"start": 25.39, "end": 26.11, "word": " النقطة", "probability": 0.943359375}, {"start": 26.11, "end": 26.63, "word": " التالتة", "probability": 0.9541015625}, {"start": 26.63, "end": 27.39, "word": " النقطة", "probability": 0.94189453125}, {"start": 27.39, "end": 28.21, "word": " الاولى", "probability": 0.9091796875}, {"start": 28.21, "end": 28.69, "word": " كانت", "probability": 0.926513671875}, {"start": 28.69, "end": 29.21, "word": " كامل", "probability": 0.8899739583333334}, {"start": 29.21, "end": 29.37, "word": " ل", "probability": 0.744140625}, {"start": 29.37, "end": 29.77, "word": " sin", "probability": 0.3564453125}, {"start": 29.77, "end": 30.17, "word": " أس", "probability": 0.3818359375}, {"start": 30.17, "end": 31.13, "word": " mx", "probability": 0.392578125}, {"start": 31.13, "end": 31.83, "word": " cos", "probability": 0.39794921875}, {"start": 31.83, "end": 33.57, "word": " nx", "probability": 0.712890625}, {"start": 33.57, "end": 34.17, "word": " dx", "probability": 0.8505859375}, {"start": 34.17, "end": 35.11, "word": " واخدنا", "probability": 0.969482421875}, {"start": 35.11, "end": 35.39, "word": " عليها", "probability": 0.99267578125}, {"start": 35.39, "end": 35.67, "word": " بدل", "probability": 0.964111328125}, {"start": 35.67, "end": 36.17, "word": " المثال", "probability": 0.9825846354166666}, {"start": 36.17, "end": 36.83, "word": " خمسة", "probability": 0.9130859375}, {"start": 36.83, "end": 37.35, "word": " امثلة", "probability": 0.880859375}, {"start": 37.35, "end": 38.15, "word": " ثم", "probability": 0.986083984375}, {"start": 38.15, "end": 38.81, "word": " انتقلنا", "probability": 0.99189453125}, {"start": 38.81, "end": 38.99, "word": " الى", "probability": 0.865234375}, {"start": 38.99, "end": 39.53, "word": " النقطة", "probability": 0.9518229166666666}, {"start": 39.53, "end": 40.29, "word": " الثانية", "probability": 0.955078125}, {"start": 40.29, "end": 41.73, "word": " لحذف", "probability": 0.947509765625}, {"start": 41.73, "end": 42.81, "word": " الجذور", "probability": 0.9801432291666666}, {"start": 42.81, "end": 43.45, "word": " اللى", "probability": 0.953369140625}, {"start": 43.45, "end": 43.81, "word": " فيها", "probability": 0.887939453125}, {"start": 43.81, "end": 44.25, "word": " دوال", "probability": 0.9332682291666666}, {"start": 44.25, "end": 45.43, "word": " مثلثية", "probability": 0.83221435546875}], "temperature": 1.0}, {"id": 3, "seek": 7144, "start": 45.78, "end": 71.44, "text": "ثم النقطة الثالثة لتكامل ال powers of secant x and tunnel x واخدنا مثلا واحدا لو كان اخر مثال معاك المرة الماضية تكامل لsec أُس 6x dx والان بدنا نروح للمثال الثاني وهو تكامل 10 أُس 4x dx", "tokens": [12984, 2304, 28239, 47432, 3660, 6024, 104, 6027, 12984, 3660, 5296, 2655, 4117, 10943, 1211, 2423, 8674, 295, 907, 394, 2031, 293, 13186, 2031, 4032, 47283, 3215, 8315, 50113, 15040, 36764, 24401, 995, 45164, 25961, 1975, 34740, 50113, 6027, 20449, 995, 4117, 9673, 25720, 9673, 46958, 10632, 6055, 4117, 10943, 1211, 5296, 8159, 5551, 10859, 3794, 1386, 87, 30017, 16070, 7649, 47525, 8315, 8717, 32887, 5016, 5296, 19528, 12984, 6027, 6024, 104, 7649, 1829, 37037, 2407, 6055, 4117, 10943, 1211, 1266, 5551, 10859, 3794, 1017, 87, 30017], "avg_logprob": -0.23987925408238714, "compression_ratio": 1.588235294117647, "no_speech_prob": 0.0, "words": [{"start": 45.78, "end": 46.24, "word": "ثم", "probability": 0.83837890625}, {"start": 46.24, "end": 46.84, "word": " النقطة", "probability": 0.9475911458333334}, {"start": 46.84, "end": 47.86, "word": " الثالثة", "probability": 0.9474609375}, {"start": 47.86, "end": 49.0, "word": " لتكامل", "probability": 0.80242919921875}, {"start": 49.0, "end": 49.18, "word": " ال", "probability": 0.646484375}, {"start": 49.18, "end": 49.74, "word": " powers", "probability": 0.60986328125}, {"start": 49.74, "end": 50.38, "word": " of", "probability": 0.9697265625}, {"start": 50.38, "end": 51.32, "word": " secant", "probability": 0.640625}, {"start": 51.32, "end": 51.84, "word": " x", "probability": 0.68212890625}, {"start": 51.84, "end": 52.42, "word": " and", "probability": 0.91943359375}, {"start": 52.42, "end": 53.0, "word": " tunnel", "probability": 0.1741943359375}, {"start": 53.0, "end": 53.38, "word": " x", "probability": 0.9912109375}, {"start": 53.38, "end": 54.32, "word": " واخدنا", "probability": 0.875244140625}, {"start": 54.32, "end": 54.86, "word": " مثلا", "probability": 0.6282958984375}, {"start": 54.86, "end": 55.64, "word": " واحدا", "probability": 0.8916015625}, {"start": 55.64, "end": 56.2, "word": " لو", "probability": 0.94384765625}, {"start": 56.2, "end": 56.42, "word": " كان", "probability": 0.99072265625}, {"start": 56.42, "end": 56.76, "word": " اخر", "probability": 0.79443359375}, {"start": 56.76, "end": 57.4, "word": " مثال", "probability": 0.861083984375}, {"start": 57.4, "end": 57.74, "word": " معاك", "probability": 0.9259440104166666}, {"start": 57.74, "end": 58.1, "word": " المرة", "probability": 0.92138671875}, {"start": 58.1, "end": 58.8, "word": " الماضية", "probability": 0.9934895833333334}, {"start": 58.8, "end": 60.12, "word": " تكامل", "probability": 0.9737548828125}, {"start": 60.12, "end": 61.1, "word": " لsec", "probability": 0.5126953125}, {"start": 61.1, "end": 61.54, "word": " أُس", "probability": 0.5181884765625}, {"start": 61.54, "end": 62.78, "word": " 6x", "probability": 0.760498046875}, {"start": 62.78, "end": 63.6, "word": " dx", "probability": 0.86767578125}, {"start": 63.6, "end": 64.46, "word": " والان", "probability": 0.5274658203125}, {"start": 64.46, "end": 64.68, "word": " بدنا", "probability": 0.68603515625}, {"start": 64.68, "end": 64.98, "word": " نروح", "probability": 0.9895833333333334}, {"start": 64.98, "end": 65.66, "word": " للمثال", "probability": 0.8074951171875}, {"start": 65.66, "end": 66.4, "word": " الثاني", "probability": 0.952392578125}, {"start": 66.4, "end": 67.04, "word": " وهو", "probability": 0.798095703125}, {"start": 67.04, "end": 67.78, "word": " تكامل", "probability": 0.986083984375}, {"start": 67.78, "end": 68.4, "word": " 10", "probability": 0.433837890625}, {"start": 68.4, "end": 68.94, "word": " أُس", "probability": 0.91357421875}, {"start": 68.94, "end": 70.2, "word": " 4x", "probability": 0.965087890625}, {"start": 70.2, "end": 71.44, "word": " dx", "probability": 0.9462890625}], "temperature": 1.0}, {"id": 4, "seek": 9473, "start": 72.73, "end": 94.73, "text": "زي المرة اللى فاتت تكامل سك الست ما كتبناه بدلالة سك تربيع كمان هذا بنحاول ندخل سك تربيع في الموضوع ليش؟ لأن تفاضل التان بتعطينا مين؟ سك تربيع، إذا هذه بيعطينا مين؟ اللى هو تكامل لتان تربيع ال X", "tokens": [11622, 1829, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 6055, 4117, 10943, 1211, 8608, 4117, 2423, 14851, 19446, 9122, 2655, 3555, 8315, 3224, 47525, 1211, 6027, 3660, 8608, 4117, 6055, 2288, 21292, 3615, 9122, 2304, 7649, 23758, 44945, 5016, 995, 12610, 8717, 3215, 9778, 1211, 8608, 4117, 6055, 2288, 21292, 3615, 8978, 9673, 2407, 11242, 45367, 32239, 8592, 22807, 5296, 33456, 6055, 5172, 46958, 1211, 16712, 7649, 39894, 3615, 9566, 1829, 8315, 3714, 9957, 22807, 8608, 4117, 6055, 2288, 21292, 3615, 12399, 11933, 15730, 29538, 4724, 40228, 9566, 1829, 8315, 3714, 9957, 22807, 13672, 7578, 31439, 6055, 4117, 10943, 1211, 5296, 2655, 7649, 6055, 2288, 21292, 3615, 2423, 1783], "avg_logprob": -0.24730113473805515, "compression_ratio": 1.9497206703910615, "no_speech_prob": 0.0, "words": [{"start": 72.72999999999999, "end": 73.85, "word": "زي", "probability": 0.51019287109375}, {"start": 73.85, "end": 74.21, "word": " المرة", "probability": 0.845458984375}, {"start": 74.21, "end": 74.35, "word": " اللى", "probability": 0.6455078125}, {"start": 74.35, "end": 74.71, "word": " فاتت", "probability": 0.9026692708333334}, {"start": 74.71, "end": 75.25, "word": " تكامل", "probability": 0.90478515625}, {"start": 75.25, "end": 75.59, "word": " سك", "probability": 0.385711669921875}, {"start": 75.59, "end": 76.13, "word": " الست", "probability": 0.4442138671875}, {"start": 76.13, "end": 76.33, "word": " ما", "probability": 0.415283203125}, {"start": 76.33, "end": 77.05, "word": " كتبناه", "probability": 0.8880859375}, {"start": 77.05, "end": 77.77, "word": " بدلالة", "probability": 0.8646240234375}, {"start": 77.77, "end": 78.21, "word": " سك", "probability": 0.7099609375}, {"start": 78.21, "end": 78.95, "word": " تربيع", "probability": 0.83984375}, {"start": 78.95, "end": 79.85, "word": " كمان", "probability": 0.83935546875}, {"start": 79.85, "end": 80.41, "word": " هذا", "probability": 0.85009765625}, {"start": 80.41, "end": 81.45, "word": " بنحاول", "probability": 0.825927734375}, {"start": 81.45, "end": 82.07, "word": " ندخل", "probability": 0.9600830078125}, {"start": 82.07, "end": 82.47, "word": " سك", "probability": 0.95458984375}, {"start": 82.47, "end": 83.13, "word": " تربيع", "probability": 0.928955078125}, {"start": 83.13, "end": 83.29, "word": " في", "probability": 0.445556640625}, {"start": 83.29, "end": 83.89, "word": " الموضوع", "probability": 0.9976806640625}, {"start": 83.89, "end": 84.87, "word": " ليش؟", "probability": 0.76025390625}, {"start": 84.87, "end": 85.01, "word": " لأن", "probability": 0.6513671875}, {"start": 85.01, "end": 85.69, "word": " تفاضل", "probability": 0.882080078125}, {"start": 85.69, "end": 86.21, "word": " التان", "probability": 0.802978515625}, {"start": 86.21, "end": 86.89, "word": " بتعطينا", "probability": 0.83125}, {"start": 86.89, "end": 87.61, "word": " مين؟", "probability": 0.752197265625}, {"start": 87.61, "end": 88.09, "word": " سك", "probability": 0.9326171875}, {"start": 88.09, "end": 89.17, "word": " تربيع،", "probability": 0.8703125}, {"start": 89.17, "end": 89.47, "word": " إذا", "probability": 0.69140625}, {"start": 89.47, "end": 89.99, "word": " هذه", "probability": 0.359619140625}, {"start": 89.99, "end": 90.61, "word": " بيعطينا", "probability": 0.8396484375}, {"start": 90.61, "end": 91.19, "word": " مين؟", "probability": 0.953125}, {"start": 91.19, "end": 91.41, "word": " اللى", "probability": 0.831787109375}, {"start": 91.41, "end": 91.61, "word": " هو", "probability": 0.70556640625}, {"start": 91.61, "end": 92.49, "word": " تكامل", "probability": 0.9873046875}, {"start": 92.49, "end": 93.25, "word": " لتان", "probability": 0.9348958333333334}, {"start": 93.25, "end": 94.15, "word": " تربيع", "probability": 0.9527587890625}, {"start": 94.15, "end": 94.35, "word": " ال", "probability": 0.90380859375}, {"start": 94.35, "end": 94.73, "word": " X", "probability": 0.64892578125}], "temperature": 1.0}, {"id": 5, "seek": 11989, "start": 95.07, "end": 119.89, "text": "فى tan تربيع ال X فى DX بنرجع الى حساب المثلثات بنلاقي tan تربيع اللى هي عبارة عن مين سك تربيع ال X ناقص واحد كله بالنسبة لمين الى DX يبقى نفك الجثة ده بصير تكامل لtan تربيع ال X", "tokens": [5172, 7578, 7603, 6055, 2288, 21292, 3615, 2423, 1783, 6156, 7578, 48817, 44945, 47341, 3615, 2423, 7578, 11331, 3794, 16758, 9673, 12984, 1211, 12984, 9307, 44945, 15040, 38436, 7603, 6055, 2288, 21292, 3615, 13672, 7578, 39896, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 8608, 4117, 6055, 2288, 21292, 3615, 2423, 1783, 8717, 995, 4587, 9381, 36764, 24401, 28242, 3224, 20666, 1863, 35457, 3660, 5296, 2304, 9957, 2423, 7578, 48817, 7251, 3555, 4587, 7578, 8717, 5172, 4117, 25724, 12984, 3660, 11778, 3224, 4724, 9381, 13546, 6055, 4117, 10943, 1211, 5296, 20356, 6055, 2288, 21292, 3615, 2423, 1783], "avg_logprob": -0.22100515955502226, "compression_ratio": 1.7916666666666667, "no_speech_prob": 0.0, "words": [{"start": 95.07, "end": 95.49, "word": "فى", "probability": 0.4534759521484375}, {"start": 95.49, "end": 95.97, "word": " tan", "probability": 0.483642578125}, {"start": 95.97, "end": 96.93, "word": " تربيع", "probability": 0.826904296875}, {"start": 96.93, "end": 97.17, "word": " ال", "probability": 0.89794921875}, {"start": 97.17, "end": 97.51, "word": " X", "probability": 0.56103515625}, {"start": 97.51, "end": 97.87, "word": " فى", "probability": 0.92578125}, {"start": 97.87, "end": 98.49, "word": " DX", "probability": 0.78515625}, {"start": 98.49, "end": 100.15, "word": " بنرجع", "probability": 0.6982421875}, {"start": 100.15, "end": 100.55, "word": " الى", "probability": 0.7242431640625}, {"start": 100.55, "end": 101.17, "word": " حساب", "probability": 0.98828125}, {"start": 101.17, "end": 103.03, "word": " المثلثات", "probability": 0.9794921875}, {"start": 103.03, "end": 104.03, "word": " بنلاقي", "probability": 0.8728841145833334}, {"start": 104.03, "end": 104.43, "word": " tan", "probability": 0.73388671875}, {"start": 104.43, "end": 105.05, "word": " تربيع", "probability": 0.948974609375}, {"start": 105.05, "end": 105.23, "word": " اللى", "probability": 0.456817626953125}, {"start": 105.23, "end": 105.45, "word": " هي", "probability": 0.305419921875}, {"start": 105.45, "end": 105.93, "word": " عبارة", "probability": 0.94970703125}, {"start": 105.93, "end": 106.17, "word": " عن", "probability": 0.9326171875}, {"start": 106.17, "end": 106.51, "word": " مين", "probability": 0.813232421875}, {"start": 106.51, "end": 107.33, "word": " سك", "probability": 0.3287353515625}, {"start": 107.33, "end": 108.21, "word": " تربيع", "probability": 0.9779052734375}, {"start": 108.21, "end": 108.39, "word": " ال", "probability": 0.9111328125}, {"start": 108.39, "end": 108.85, "word": " X", "probability": 0.9736328125}, {"start": 108.85, "end": 110.09, "word": " ناقص", "probability": 0.95947265625}, {"start": 110.09, "end": 110.77, "word": " واحد", "probability": 0.916748046875}, {"start": 110.77, "end": 111.27, "word": " كله", "probability": 0.971435546875}, {"start": 111.27, "end": 111.87, "word": " بالنسبة", "probability": 0.98046875}, {"start": 111.87, "end": 112.55, "word": " لمين", "probability": 0.7205403645833334}, {"start": 112.55, "end": 113.51, "word": " الى", "probability": 0.68310546875}, {"start": 113.51, "end": 114.03, "word": " DX", "probability": 0.98046875}, {"start": 114.03, "end": 115.05, "word": " يبقى", "probability": 0.9482421875}, {"start": 115.05, "end": 115.45, "word": " نفك", "probability": 0.8785807291666666}, {"start": 115.45, "end": 116.21, "word": " الجثة", "probability": 0.58935546875}, {"start": 116.21, "end": 116.43, "word": " ده", "probability": 0.88037109375}, {"start": 116.43, "end": 116.83, "word": " بصير", "probability": 0.9353841145833334}, {"start": 116.83, "end": 117.75, "word": " تكامل", "probability": 0.98291015625}, {"start": 117.75, "end": 118.45, "word": " لtan", "probability": 0.7626953125}, {"start": 118.45, "end": 119.29, "word": " تربيع", "probability": 0.9769287109375}, {"start": 119.29, "end": 119.49, "word": " ال", "probability": 0.91015625}, {"start": 119.49, "end": 119.89, "word": " X", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 6, "seek": 13705, "start": 129.67, "end": 137.05, "text": "هذا الكلام بده يساوي تكامل الان لو جتلي تفاضل التن شو بيعطينا", "tokens": [3224, 15730, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 6055, 4117, 10943, 1211, 2423, 7649, 45164, 10874, 2655, 20292, 6055, 5172, 46958, 1211, 16712, 1863, 13412, 2407, 4724, 1829, 3615, 9566, 1829, 8315], "avg_logprob": -0.3231336880061362, "compression_ratio": 1.2758620689655173, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 129.67000000000002, "end": 130.75, "word": "هذا", "probability": 0.56878662109375}, {"start": 130.75, "end": 131.27, "word": " الكلام", "probability": 0.884765625}, {"start": 131.27, "end": 131.63, "word": " بده", "probability": 0.4566650390625}, {"start": 131.63, "end": 132.19, "word": " يساوي", "probability": 0.9649658203125}, {"start": 132.19, "end": 133.35, "word": " تكامل", "probability": 0.904296875}, {"start": 133.35, "end": 134.33, "word": " الان", "probability": 0.270263671875}, {"start": 134.33, "end": 134.59, "word": " لو", "probability": 0.9267578125}, {"start": 134.59, "end": 135.03, "word": " جتلي", "probability": 0.8141276041666666}, {"start": 135.03, "end": 135.73, "word": " تفاضل", "probability": 0.9288330078125}, {"start": 135.73, "end": 136.09, "word": " التن", "probability": 0.446044921875}, {"start": 136.09, "end": 136.35, "word": " شو", "probability": 0.896240234375}, {"start": 136.35, "end": 137.05, "word": " بيعطينا", "probability": 0.9195149739583334}], "temperature": 1.0}, {"id": 7, "seek": 15422, "start": 137.8, "end": 154.22, "text": "سك تربيع إذا معناه هذا الكلام هذا بقدر أقول دي tan ال X يبقى صارة المسألة هي tan تربيع ال X مشتق tan ال X بالشكل هذا هو كأنه", "tokens": [3794, 4117, 6055, 2288, 21292, 3615, 11933, 15730, 20449, 8315, 3224, 23758, 2423, 28820, 10943, 23758, 4724, 28543, 2288, 5551, 39648, 11778, 1829, 7603, 2423, 1783, 7251, 3555, 4587, 7578, 20328, 9640, 3660, 9673, 3794, 10721, 37977, 39896, 7603, 6055, 2288, 21292, 3615, 2423, 1783, 37893, 2655, 4587, 7603, 2423, 1783, 20666, 8592, 28820, 23758, 31439, 9122, 33456, 3224], "avg_logprob": -0.3036458427707354, "compression_ratio": 1.5522388059701493, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 137.8, "end": 138.34, "word": "سك", "probability": 0.3175811767578125}, {"start": 138.34, "end": 138.98, "word": " تربيع", "probability": 0.8892822265625}, {"start": 138.98, "end": 139.6, "word": " إذا", "probability": 0.6103515625}, {"start": 139.6, "end": 140.16, "word": " معناه", "probability": 0.8958333333333334}, {"start": 140.16, "end": 140.46, "word": " هذا", "probability": 0.87548828125}, {"start": 140.46, "end": 141.2, "word": " الكلام", "probability": 0.8990885416666666}, {"start": 141.2, "end": 141.66, "word": " هذا", "probability": 0.66357421875}, {"start": 141.66, "end": 142.24, "word": " بقدر", "probability": 0.9326171875}, {"start": 142.24, "end": 142.8, "word": " أقول", "probability": 0.4136962890625}, {"start": 142.8, "end": 143.6, "word": " دي", "probability": 0.8017578125}, {"start": 143.6, "end": 144.04, "word": " tan", "probability": 0.395263671875}, {"start": 144.04, "end": 144.32, "word": " ال", "probability": 0.337646484375}, {"start": 144.32, "end": 144.64, "word": " X", "probability": 0.5390625}, {"start": 144.64, "end": 145.5, "word": " يبقى", "probability": 0.8966064453125}, {"start": 145.5, "end": 146.1, "word": " صارة", "probability": 0.565185546875}, {"start": 146.1, "end": 146.94, "word": " المسألة", "probability": 0.974609375}, {"start": 146.94, "end": 147.28, "word": " هي", "probability": 0.73681640625}, {"start": 147.28, "end": 147.8, "word": " tan", "probability": 0.939453125}, {"start": 147.8, "end": 148.6, "word": " تربيع", "probability": 0.9625244140625}, {"start": 148.6, "end": 148.76, "word": " ال", "probability": 0.970703125}, {"start": 148.76, "end": 149.14, "word": " X", "probability": 0.96435546875}, {"start": 149.14, "end": 150.6, "word": " مشتق", "probability": 0.8473307291666666}, {"start": 150.6, "end": 151.58, "word": " tan", "probability": 0.30322265625}, {"start": 151.58, "end": 151.92, "word": " ال", "probability": 0.8828125}, {"start": 151.92, "end": 152.34, "word": " X", "probability": 0.98291015625}, {"start": 152.34, "end": 152.94, "word": " بالشكل", "probability": 0.9319661458333334}, {"start": 152.94, "end": 153.16, "word": " هذا", "probability": 0.85693359375}, {"start": 153.16, "end": 153.42, "word": " هو", "probability": 0.45947265625}, {"start": 153.42, "end": 154.22, "word": " كأنه", "probability": 0.9666341145833334}], "temperature": 1.0}, {"id": 8, "seek": 18239, "start": 154.79, "end": 182.39, "text": "بنكمل تان ال X بالنسبة لمين لتان ال X او كأن احنا حطينا تعوضة حط ال W تساوي تان ال X اذا DW هي سك تربية ال X DX وبالتالي تحولت مسألة الى W تربية DW التكامل اللي بسيط بضيف لل أس واحد و بقسم على الأس الجديد ناقص تكامل", "tokens": [3555, 1863, 24793, 1211, 6055, 7649, 2423, 1783, 20666, 1863, 35457, 3660, 32767, 9957, 5296, 2655, 7649, 2423, 1783, 1975, 2407, 9122, 33456, 1975, 5016, 8315, 11331, 9566, 1829, 8315, 37279, 2407, 11242, 3660, 11331, 9566, 2423, 343, 6055, 3794, 995, 45865, 6055, 7649, 2423, 1783, 1975, 15730, 45318, 39896, 8608, 4117, 6055, 25513, 10632, 2423, 1783, 48817, 46599, 6027, 2655, 6027, 1829, 6055, 5016, 12610, 2655, 47524, 10721, 37977, 2423, 7578, 343, 6055, 25513, 10632, 45318, 16712, 4117, 10943, 1211, 13672, 1829, 4724, 3794, 1829, 9566, 4724, 11242, 33911, 24976, 5551, 3794, 36764, 24401, 4032, 4724, 4587, 38251, 15844, 16247, 3794, 25724, 16254, 3215, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211], "avg_logprob": -0.22930372127315454, "compression_ratio": 1.8730964467005076, "no_speech_prob": 0.0, "words": [{"start": 154.79, "end": 155.79, "word": "بنكمل", "probability": 0.8114013671875}, {"start": 155.79, "end": 156.17, "word": " تان", "probability": 0.6710205078125}, {"start": 156.17, "end": 156.37, "word": " ال", "probability": 0.73876953125}, {"start": 156.37, "end": 156.71, "word": " X", "probability": 0.64501953125}, {"start": 156.71, "end": 157.57, "word": " بالنسبة", "probability": 0.9844970703125}, {"start": 157.57, "end": 158.11, "word": " لمين", "probability": 0.7607421875}, {"start": 158.11, "end": 159.13, "word": " لتان", "probability": 0.96826171875}, {"start": 159.13, "end": 159.27, "word": " ال", "probability": 0.87939453125}, {"start": 159.27, "end": 159.51, "word": " X", "probability": 0.98681640625}, {"start": 159.51, "end": 160.05, "word": " او", "probability": 0.740966796875}, {"start": 160.05, "end": 160.71, "word": " كأن", "probability": 0.718994140625}, {"start": 160.71, "end": 160.99, "word": " احنا", "probability": 0.8125813802083334}, {"start": 160.99, "end": 161.65, "word": " حطينا", "probability": 0.798095703125}, {"start": 161.65, "end": 162.75, "word": " تعوضة", "probability": 0.8572998046875}, {"start": 162.75, "end": 163.47, "word": " حط", "probability": 0.62646484375}, {"start": 163.47, "end": 163.63, "word": " ال", "probability": 0.58154296875}, {"start": 163.63, "end": 164.09, "word": " W", "probability": 0.8759765625}, {"start": 164.09, "end": 164.93, "word": " تساوي", "probability": 0.8597412109375}, {"start": 164.93, "end": 165.41, "word": " تان", "probability": 0.99072265625}, {"start": 165.41, "end": 165.61, "word": " ال", "probability": 0.931640625}, {"start": 165.61, "end": 165.93, "word": " X", "probability": 0.99365234375}, {"start": 165.93, "end": 166.39, "word": " اذا", "probability": 0.7122802734375}, {"start": 166.39, "end": 166.99, "word": " DW", "probability": 0.4306640625}, {"start": 166.99, "end": 167.97, "word": " هي", "probability": 0.9404296875}, {"start": 167.97, "end": 168.29, "word": " سك", "probability": 0.36614990234375}, {"start": 168.29, "end": 168.71, "word": " تربية", "probability": 0.6104329427083334}, {"start": 168.71, "end": 168.87, "word": " ال", "probability": 0.6484375}, {"start": 168.87, "end": 169.01, "word": " X", "probability": 0.9765625}, {"start": 169.01, "end": 169.43, "word": " DX", "probability": 0.2294921875}, {"start": 169.43, "end": 170.27, "word": " وبالتالي", "probability": 0.95576171875}, {"start": 170.27, "end": 171.31, "word": " تحولت", "probability": 0.962158203125}, {"start": 171.31, "end": 171.85, "word": " مسألة", "probability": 0.9430338541666666}, {"start": 171.85, "end": 172.17, "word": " الى", "probability": 0.6131591796875}, {"start": 172.17, "end": 172.65, "word": " W", "probability": 0.95263671875}, {"start": 172.65, "end": 173.75, "word": " تربية", "probability": 0.9440104166666666}, {"start": 173.75, "end": 174.77, "word": " DW", "probability": 0.986328125}, {"start": 174.77, "end": 175.73, "word": " التكامل", "probability": 0.8843994140625}, {"start": 175.73, "end": 175.87, "word": " اللي", "probability": 0.6533203125}, {"start": 175.87, "end": 176.59, "word": " بسيط", "probability": 0.927490234375}, {"start": 176.59, "end": 177.03, "word": " بضيف", "probability": 0.8038736979166666}, {"start": 177.03, "end": 177.23, "word": " لل", "probability": 0.6318359375}, {"start": 177.23, "end": 177.43, "word": " أس", "probability": 0.5386962890625}, {"start": 177.43, "end": 177.73, "word": " واحد", "probability": 0.978759765625}, {"start": 177.73, "end": 177.83, "word": " و", "probability": 0.482666015625}, {"start": 177.83, "end": 178.35, "word": " بقسم", "probability": 0.768798828125}, {"start": 178.35, "end": 179.33, "word": " على", "probability": 0.916015625}, {"start": 179.33, "end": 179.97, "word": " الأس", "probability": 0.88427734375}, {"start": 179.97, "end": 180.87, "word": " الجديد", "probability": 0.9794921875}, {"start": 180.87, "end": 181.75, "word": " ناقص", "probability": 0.956298828125}, {"start": 181.75, "end": 182.39, "word": " تكامل", "probability": 0.9827880859375}], "temperature": 1.0}, {"id": 9, "seek": 18774, "start": 183.7, "end": 187.74, "text": "تان تربيع هذه ماعنديش اللي هي تكامل محدد لكن", "tokens": [2655, 7649, 6055, 2288, 21292, 3615, 29538, 19446, 3615, 1863, 16254, 8592, 13672, 1829, 39896, 6055, 4117, 10943, 1211, 3714, 24401, 3215, 44381], "avg_logprob": -0.2286783835540215, "compression_ratio": 1.1267605633802817, "no_speech_prob": 0.0, "words": [{"start": 183.7, "end": 184.08, "word": "تان", "probability": 0.6478271484375}, {"start": 184.08, "end": 184.6, "word": " تربيع", "probability": 0.8660888671875}, {"start": 184.6, "end": 184.88, "word": " هذه", "probability": 0.525390625}, {"start": 184.88, "end": 185.48, "word": " ماعنديش", "probability": 0.9396484375}, {"start": 185.48, "end": 185.64, "word": " اللي", "probability": 0.816650390625}, {"start": 185.64, "end": 185.74, "word": " هي", "probability": 0.4755859375}, {"start": 185.74, "end": 186.5, "word": " تكامل", "probability": 0.9810791015625}, {"start": 186.5, "end": 187.26, "word": " محدد", "probability": 0.9322916666666666}, {"start": 187.26, "end": 187.74, "word": " لكن", "probability": 0.56103515625}], "temperature": 1.0}, {"id": 10, "seek": 21747, "start": 188.27, "end": 217.47, "text": "لو حطيت قيمتها بواسطة حساب المثلثات اللي أول متطابقة مثلثية أخدناها في Calculus A بقدر أقول 10 تربيع هي عبارة عن 6 تربيع X ناقص 1 يبقى هذه 6 تربيع X ناقص 1 من نسبة الأمام إلى DX يبقى هذه زي ما قلنا تلتان تكييب X", "tokens": [1211, 2407, 11331, 9566, 36081, 12174, 32640, 2655, 11296, 4724, 14407, 3794, 9566, 3660, 11331, 3794, 16758, 9673, 12984, 1211, 12984, 9307, 13672, 1829, 5551, 12610, 44650, 9566, 16758, 28671, 50113, 1211, 12984, 10632, 5551, 9778, 3215, 8315, 11296, 8978, 3511, 36002, 316, 4724, 28543, 2288, 5551, 39648, 1266, 6055, 2288, 21292, 3615, 39896, 6225, 3555, 9640, 3660, 18871, 1386, 6055, 2288, 21292, 3615, 1783, 8717, 995, 4587, 9381, 502, 7251, 3555, 4587, 7578, 29538, 1386, 6055, 2288, 21292, 3615, 1783, 8717, 995, 4587, 9381, 502, 9154, 8717, 35457, 3660, 16247, 2304, 10943, 30731, 48817, 7251, 3555, 4587, 7578, 29538, 30767, 1829, 19446, 12174, 1211, 8315, 6055, 1211, 2655, 7649, 6055, 4117, 1829, 1829, 3555, 1783], "avg_logprob": -0.1610576979115478, "compression_ratio": 1.6527777777777777, "no_speech_prob": 0.0, "words": [{"start": 188.27, "end": 188.69, "word": "لو", "probability": 0.7119140625}, {"start": 188.69, "end": 189.17, "word": " حطيت", "probability": 0.958984375}, {"start": 189.17, "end": 189.65, "word": " قيمتها", "probability": 0.9404296875}, {"start": 189.65, "end": 190.35, "word": " بواسطة", "probability": 0.876513671875}, {"start": 190.35, "end": 190.83, "word": " حساب", "probability": 0.9930013020833334}, {"start": 190.83, "end": 191.85, "word": " المثلثات", "probability": 0.97890625}, {"start": 191.85, "end": 192.01, "word": " اللي", "probability": 0.755859375}, {"start": 192.01, "end": 192.51, "word": " أول", "probability": 0.7064208984375}, {"start": 192.51, "end": 193.39, "word": " متطابقة", "probability": 0.9337158203125}, {"start": 193.39, "end": 194.35, "word": " مثلثية", "probability": 0.95361328125}, {"start": 194.35, "end": 195.45, "word": " أخدناها", "probability": 0.86435546875}, {"start": 195.45, "end": 195.65, "word": " في", "probability": 0.91162109375}, {"start": 195.65, "end": 196.33, "word": " Calculus", "probability": 0.6390380859375}, {"start": 196.33, "end": 196.79, "word": " A", "probability": 0.7255859375}, {"start": 196.79, "end": 197.61, "word": " بقدر", "probability": 0.9290364583333334}, {"start": 197.61, "end": 197.89, "word": " أقول", "probability": 0.8623046875}, {"start": 197.89, "end": 198.29, "word": " 10", "probability": 0.36279296875}, {"start": 198.29, "end": 198.85, "word": " تربيع", "probability": 0.793701171875}, {"start": 198.85, "end": 199.11, "word": " هي", "probability": 0.94384765625}, {"start": 199.11, "end": 199.69, "word": " عبارة", "probability": 0.9947509765625}, {"start": 199.69, "end": 200.55, "word": " عن", "probability": 0.98974609375}, {"start": 200.55, "end": 201.51, "word": " 6", "probability": 0.1751708984375}, {"start": 201.51, "end": 202.47, "word": " تربيع", "probability": 0.93212890625}, {"start": 202.47, "end": 202.89, "word": " X", "probability": 0.591796875}, {"start": 202.89, "end": 203.91, "word": " ناقص", "probability": 0.893798828125}, {"start": 203.91, "end": 204.57, "word": " 1", "probability": 0.53369140625}, {"start": 204.57, "end": 205.59, "word": " يبقى", "probability": 0.928955078125}, {"start": 205.59, "end": 205.97, "word": " هذه", "probability": 0.6796875}, {"start": 205.97, "end": 206.49, "word": " 6", "probability": 0.9111328125}, {"start": 206.49, "end": 207.25, "word": " تربيع", "probability": 0.9647216796875}, {"start": 207.25, "end": 207.81, "word": " X", "probability": 0.6259765625}, {"start": 207.81, "end": 208.47, "word": " ناقص", "probability": 0.983154296875}, {"start": 208.47, "end": 209.05, "word": " 1", "probability": 0.93701171875}, {"start": 209.05, "end": 209.67, "word": " من", "probability": 0.7705078125}, {"start": 209.67, "end": 210.07, "word": " نسبة", "probability": 0.7762858072916666}, {"start": 210.07, "end": 210.63, "word": " الأمام", "probability": 0.8330078125}, {"start": 210.63, "end": 211.19, "word": " إلى", "probability": 0.83984375}, {"start": 211.19, "end": 211.87, "word": " DX", "probability": 0.87255859375}, {"start": 211.87, "end": 212.97, "word": " يبقى", "probability": 0.9833984375}, {"start": 212.97, "end": 213.27, "word": " هذه", "probability": 0.92041015625}, {"start": 213.27, "end": 213.55, "word": " زي", "probability": 0.86767578125}, {"start": 213.55, "end": 213.69, "word": " ما", "probability": 0.9892578125}, {"start": 213.69, "end": 214.21, "word": " قلنا", "probability": 0.8204752604166666}, {"start": 214.21, "end": 215.79, "word": " تلتان", "probability": 0.8890380859375}, {"start": 215.79, "end": 217.05, "word": " تكييب", "probability": 0.8978515625}, {"start": 217.05, "end": 217.47, "word": " X", "probability": 0.51708984375}], "temperature": 1.0}, {"id": 11, "seek": 23814, "start": 218.18, "end": 238.14, "text": "هذه تكامل ال sector بيها بقداش بتان يبقى سالب تان ال X نقص فنقص بزائد وتكامل واحد ب X وزائد constant C اروح لمثال لرقم تلاتة", "tokens": [3224, 24192, 6055, 4117, 10943, 1211, 2423, 6977, 4724, 1829, 11296, 4724, 28543, 33599, 39894, 7649, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 6055, 7649, 2423, 1783, 8717, 4587, 9381, 6156, 1863, 4587, 9381, 4724, 11622, 16373, 3215, 34683, 4117, 10943, 1211, 36764, 24401, 4724, 1783, 4032, 11622, 16373, 3215, 5754, 383, 1975, 32887, 5016, 32767, 12984, 6027, 5296, 2288, 4587, 2304, 6055, 1211, 9307, 3660], "avg_logprob": -0.24510260571294756, "compression_ratio": 1.4305555555555556, "no_speech_prob": 0.0, "words": [{"start": 218.18, "end": 218.88, "word": "هذه", "probability": 0.506591796875}, {"start": 218.88, "end": 220.24, "word": " تكامل", "probability": 0.73492431640625}, {"start": 220.24, "end": 220.48, "word": " ال", "probability": 0.57666015625}, {"start": 220.48, "end": 220.84, "word": " sector", "probability": 0.85986328125}, {"start": 220.84, "end": 221.2, "word": " بيها", "probability": 0.7277018229166666}, {"start": 221.2, "end": 221.94, "word": " بقداش", "probability": 0.4290364583333333}, {"start": 221.94, "end": 223.06, "word": " بتان", "probability": 0.685546875}, {"start": 223.06, "end": 223.62, "word": " يبقى", "probability": 0.9010009765625}, {"start": 223.62, "end": 224.48, "word": " سالب", "probability": 0.9129231770833334}, {"start": 224.48, "end": 225.18, "word": " تان", "probability": 0.88330078125}, {"start": 225.18, "end": 225.34, "word": " ال", "probability": 0.884765625}, {"start": 225.34, "end": 225.58, "word": " X", "probability": 0.56591796875}, {"start": 225.58, "end": 226.56, "word": " نقص", "probability": 0.8024088541666666}, {"start": 226.56, "end": 227.14, "word": " فنقص", "probability": 0.9759521484375}, {"start": 227.14, "end": 227.98, "word": " بزائد", "probability": 0.80517578125}, {"start": 227.98, "end": 229.04, "word": " وتكامل", "probability": 0.8607177734375}, {"start": 229.04, "end": 229.42, "word": " واحد", "probability": 0.830322265625}, {"start": 229.42, "end": 229.64, "word": " ب", "probability": 0.94970703125}, {"start": 229.64, "end": 230.04, "word": " X", "probability": 0.69091796875}, {"start": 230.04, "end": 231.34, "word": " وزائد", "probability": 0.9075927734375}, {"start": 231.34, "end": 232.04, "word": " constant", "probability": 0.6328125}, {"start": 232.04, "end": 232.98, "word": " C", "probability": 0.8984375}, {"start": 232.98, "end": 235.8, "word": " اروح", "probability": 0.7442220052083334}, {"start": 235.8, "end": 236.42, "word": " لمثال", "probability": 0.9246419270833334}, {"start": 236.42, "end": 237.14, "word": " لرقم", "probability": 0.8861083984375}, {"start": 237.14, "end": 238.14, "word": " تلاتة", "probability": 0.91748046875}], "temperature": 1.0}, {"id": 12, "seek": 26518, "start": 239.32, "end": 265.18, "text": "مثال رقم تلاتة بيقول لي بده تكامل لمين لسك تكييب ال X تان تكييب ال X ل X بدنا نحاول نتخلص من حاجة اسمها تان في الموضوع وبعد هيك يمكن الله يفرجها", "tokens": [2304, 12984, 6027, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 4724, 1829, 39648, 32239, 47525, 3224, 6055, 4117, 10943, 1211, 32767, 9957, 5296, 3794, 4117, 6055, 4117, 1829, 1829, 3555, 2423, 1783, 6055, 7649, 6055, 4117, 1829, 1829, 3555, 2423, 1783, 5296, 1783, 47525, 8315, 8717, 5016, 995, 12610, 8717, 2655, 9778, 1211, 9381, 9154, 11331, 26108, 3660, 24525, 2304, 11296, 6055, 7649, 8978, 9673, 2407, 11242, 45367, 46599, 22488, 39896, 4117, 7251, 43020, 21984, 7251, 5172, 47341, 11296], "avg_logprob": -0.17011718414723873, "compression_ratio": 1.6933333333333334, "no_speech_prob": 0.0, "words": [{"start": 239.32, "end": 239.94, "word": "مثال", "probability": 0.9532877604166666}, {"start": 239.94, "end": 240.56, "word": " رقم", "probability": 0.95166015625}, {"start": 240.56, "end": 241.32, "word": " تلاتة", "probability": 0.8935546875}, {"start": 241.32, "end": 241.82, "word": " بيقول", "probability": 0.9314778645833334}, {"start": 241.82, "end": 242.0, "word": " لي", "probability": 0.253173828125}, {"start": 242.0, "end": 242.38, "word": " بده", "probability": 0.789306640625}, {"start": 242.38, "end": 243.42, "word": " تكامل", "probability": 0.987060546875}, {"start": 243.42, "end": 244.48, "word": " لمين", "probability": 0.622314453125}, {"start": 244.48, "end": 245.44, "word": " لسك", "probability": 0.6456705729166666}, {"start": 245.44, "end": 246.32, "word": " تكييب", "probability": 0.89462890625}, {"start": 246.32, "end": 246.58, "word": " ال", "probability": 0.91162109375}, {"start": 246.58, "end": 247.08, "word": " X", "probability": 0.63525390625}, {"start": 247.08, "end": 248.58, "word": " تان", "probability": 0.919189453125}, {"start": 248.58, "end": 250.52, "word": " تكييب", "probability": 0.99365234375}, {"start": 250.52, "end": 250.84, "word": " ال", "probability": 0.9619140625}, {"start": 250.84, "end": 251.44, "word": " X", "probability": 0.97119140625}, {"start": 251.44, "end": 251.8, "word": " ل", "probability": 0.60400390625}, {"start": 251.8, "end": 252.26, "word": " X", "probability": 0.6796875}, {"start": 252.26, "end": 257.68, "word": " بدنا", "probability": 0.78564453125}, {"start": 257.68, "end": 258.18, "word": " نحاول", "probability": 0.981689453125}, {"start": 258.18, "end": 259.74, "word": " نتخلص", "probability": 0.9810546875}, {"start": 259.74, "end": 259.9, "word": " من", "probability": 0.99365234375}, {"start": 259.9, "end": 260.36, "word": " حاجة", "probability": 0.9806315104166666}, {"start": 260.36, "end": 261.0, "word": " اسمها", "probability": 0.943359375}, {"start": 261.0, "end": 261.48, "word": " تان", "probability": 0.612548828125}, {"start": 261.48, "end": 261.72, "word": " في", "probability": 0.83837890625}, {"start": 261.72, "end": 262.4, "word": " الموضوع", "probability": 0.998779296875}, {"start": 262.4, "end": 263.68, "word": " وبعد", "probability": 0.66650390625}, {"start": 263.68, "end": 263.98, "word": " هيك", "probability": 0.6324462890625}, {"start": 263.98, "end": 264.3, "word": " يمكن", "probability": 0.822265625}, {"start": 264.3, "end": 264.54, "word": " الله", "probability": 0.93896484375}, {"start": 264.54, "end": 265.18, "word": " يفرجها", "probability": 0.9566650390625}], "temperature": 1.0}, {"id": 13, "seek": 29057, "start": 265.59, "end": 290.57, "text": "بنشوف كيف بدي بقول بسيطة، بتاخد واحدة من السك وبتاخد واحدة من مين؟ من التاني، يعني بتصير المثلة على الشكل التالي سك square X في تاني square X في سك ال X في تاني ال X في DX هذا الكلام يساوي", "tokens": [3555, 1863, 8592, 38688, 9122, 33911, 4724, 16254, 4724, 39648, 4724, 3794, 1829, 9566, 3660, 12399, 39894, 47283, 3215, 36764, 24401, 3660, 9154, 21136, 4117, 46599, 2655, 47283, 3215, 36764, 24401, 3660, 9154, 3714, 9957, 22807, 9154, 16712, 7649, 1829, 12399, 37495, 22653, 39894, 9381, 13546, 9673, 12984, 37977, 15844, 25124, 28820, 16712, 6027, 1829, 8608, 4117, 3732, 1783, 8978, 6055, 7649, 1829, 3732, 1783, 8978, 8608, 4117, 2423, 1783, 8978, 6055, 7649, 1829, 2423, 1783, 8978, 48817, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865], "avg_logprob": -0.22467672448048645, "compression_ratio": 1.8816568047337279, "no_speech_prob": 0.0, "words": [{"start": 265.59, "end": 266.11, "word": "بنشوف", "probability": 0.507904052734375}, {"start": 266.11, "end": 266.45, "word": " كيف", "probability": 0.956787109375}, {"start": 266.45, "end": 267.63, "word": " بدي", "probability": 0.53271484375}, {"start": 267.63, "end": 267.99, "word": " بقول", "probability": 0.948974609375}, {"start": 267.99, "end": 268.83, "word": " بسيطة،", "probability": 0.8562418619791666}, {"start": 268.83, "end": 269.51, "word": " بتاخد", "probability": 0.8180338541666666}, {"start": 269.51, "end": 270.43, "word": " واحدة", "probability": 0.9627278645833334}, {"start": 270.43, "end": 270.59, "word": " من", "probability": 0.99169921875}, {"start": 270.59, "end": 271.07, "word": " السك", "probability": 0.412445068359375}, {"start": 271.07, "end": 271.65, "word": " وبتاخد", "probability": 0.82891845703125}, {"start": 271.65, "end": 272.01, "word": " واحدة", "probability": 0.9890950520833334}, {"start": 272.01, "end": 272.17, "word": " من", "probability": 0.9775390625}, {"start": 272.17, "end": 272.71, "word": " مين؟", "probability": 0.6805826822916666}, {"start": 272.71, "end": 273.35, "word": " من", "probability": 0.87841796875}, {"start": 273.35, "end": 273.87, "word": " التاني،", "probability": 0.77423095703125}, {"start": 273.87, "end": 274.13, "word": " يعني", "probability": 0.828857421875}, {"start": 274.13, "end": 274.69, "word": " بتصير", "probability": 0.9319661458333334}, {"start": 274.69, "end": 275.47, "word": " المثلة", "probability": 0.8211263020833334}, {"start": 275.47, "end": 276.21, "word": " على", "probability": 0.8916015625}, {"start": 276.21, "end": 276.79, "word": " الشكل", "probability": 0.959228515625}, {"start": 276.79, "end": 277.59, "word": " التالي", "probability": 0.9822591145833334}, {"start": 277.59, "end": 278.49, "word": " سك", "probability": 0.75732421875}, {"start": 278.49, "end": 279.13, "word": " square", "probability": 0.57470703125}, {"start": 279.13, "end": 279.75, "word": " X", "probability": 0.53515625}, {"start": 279.75, "end": 280.41, "word": " في", "probability": 0.806640625}, {"start": 280.41, "end": 281.13, "word": " تاني", "probability": 0.97705078125}, {"start": 281.13, "end": 281.57, "word": " square", "probability": 0.81103515625}, {"start": 281.57, "end": 282.39, "word": " X", "probability": 0.98876953125}, {"start": 282.39, "end": 282.95, "word": " في", "probability": 0.947265625}, {"start": 282.95, "end": 283.61, "word": " سك", "probability": 0.97119140625}, {"start": 283.61, "end": 283.93, "word": " ال", "probability": 0.763671875}, {"start": 283.93, "end": 284.39, "word": " X", "probability": 0.80810546875}, {"start": 284.39, "end": 285.01, "word": " في", "probability": 0.9609375}, {"start": 285.01, "end": 285.83, "word": " تاني", "probability": 0.9861653645833334}, {"start": 285.83, "end": 285.97, "word": " ال", "probability": 0.81494140625}, {"start": 285.97, "end": 286.49, "word": " X", "probability": 0.9775390625}, {"start": 286.49, "end": 287.03, "word": " في", "probability": 0.95361328125}, {"start": 287.03, "end": 287.75, "word": " DX", "probability": 0.52978515625}, {"start": 287.75, "end": 289.37, "word": " هذا", "probability": 0.8330078125}, {"start": 289.37, "end": 289.93, "word": " الكلام", "probability": 0.9814453125}, {"start": 289.93, "end": 290.57, "word": " يساوي", "probability": 0.9500732421875}], "temperature": 1.0}, {"id": 14, "seek": 31949, "start": 291.55, "end": 319.49, "text": "بدل ما هي فيها سك وتان بدي احولها كلها سك مرة واحدة يعني بقى باجي بقول يا سك تربيع انت خليك على شجرة وبنجي لتان تربيع زي ما كتبناها فوق ونرجع نكتبها تحت تاني يبقى تان تربيع لسك تربيع ال X ناقص واحد تمام؟ بيجينا سك ال X في تان ال X هذا مشتق تمين", "tokens": [3555, 3215, 1211, 19446, 39896, 8978, 11296, 8608, 4117, 34683, 7649, 4724, 16254, 1975, 5016, 12610, 11296, 28242, 11296, 8608, 4117, 3714, 25720, 36764, 24401, 3660, 37495, 22653, 4724, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 35186, 8608, 4117, 6055, 2288, 21292, 3615, 16472, 2655, 16490, 20292, 4117, 15844, 13412, 7435, 25720, 4032, 3555, 1863, 7435, 1829, 5296, 2655, 7649, 6055, 2288, 21292, 3615, 30767, 1829, 19446, 9122, 2655, 3555, 8315, 11296, 6156, 30543, 4032, 1863, 47341, 3615, 8717, 4117, 2655, 3555, 11296, 6055, 33753, 6055, 7649, 1829, 7251, 3555, 4587, 7578, 6055, 7649, 6055, 2288, 21292, 3615, 5296, 3794, 4117, 6055, 2288, 21292, 3615, 2423, 1783, 8717, 995, 4587, 9381, 36764, 24401, 46811, 10943, 22807, 4724, 1829, 7435, 1829, 8315, 8608, 4117, 2423, 1783, 8978, 6055, 7649, 2423, 1783, 23758, 37893, 2655, 4587, 46811, 9957], "avg_logprob": -0.19548358186318057, "compression_ratio": 2.082125603864734, "no_speech_prob": 0.0, "words": [{"start": 291.55, "end": 292.11, "word": "بدل", "probability": 0.6207682291666666}, {"start": 292.11, "end": 292.23, "word": " ما", "probability": 0.8583984375}, {"start": 292.23, "end": 292.43, "word": " هي", "probability": 0.63671875}, {"start": 292.43, "end": 292.83, "word": " فيها", "probability": 0.89892578125}, {"start": 292.83, "end": 293.15, "word": " سك", "probability": 0.52532958984375}, {"start": 293.15, "end": 293.57, "word": " وتان", "probability": 0.693603515625}, {"start": 293.57, "end": 293.81, "word": " بدي", "probability": 0.4254150390625}, {"start": 293.81, "end": 294.37, "word": " احولها", "probability": 0.8172607421875}, {"start": 294.37, "end": 294.89, "word": " كلها", "probability": 0.903076171875}, {"start": 294.89, "end": 295.27, "word": " سك", "probability": 0.964599609375}, {"start": 295.27, "end": 295.79, "word": " مرة", "probability": 0.962890625}, {"start": 295.79, "end": 296.87, "word": " واحدة", "probability": 0.9597981770833334}, {"start": 296.87, "end": 297.51, "word": " يعني", "probability": 0.569580078125}, {"start": 297.51, "end": 297.75, "word": " بقى", "probability": 0.6558430989583334}, {"start": 297.75, "end": 298.13, "word": " باجي", "probability": 0.81103515625}, {"start": 298.13, "end": 298.51, "word": " بقول", "probability": 0.90673828125}, {"start": 298.51, "end": 298.73, "word": " يا", "probability": 0.64404296875}, {"start": 298.73, "end": 299.01, "word": " سك", "probability": 0.97021484375}, {"start": 299.01, "end": 299.63, "word": " تربيع", "probability": 0.8245849609375}, {"start": 299.63, "end": 299.91, "word": " انت", "probability": 0.908935546875}, {"start": 299.91, "end": 300.57, "word": " خليك", "probability": 0.91455078125}, {"start": 300.57, "end": 300.81, "word": " على", "probability": 0.88037109375}, {"start": 300.81, "end": 301.39, "word": " شجرة", "probability": 0.7544759114583334}, {"start": 301.39, "end": 302.57, "word": " وبنجي", "probability": 0.7529296875}, {"start": 302.57, "end": 303.27, "word": " لتان", "probability": 0.8955078125}, {"start": 303.27, "end": 303.87, "word": " تربيع", "probability": 0.9356689453125}, {"start": 303.87, "end": 304.17, "word": " زي", "probability": 0.945068359375}, {"start": 304.17, "end": 304.29, "word": " ما", "probability": 0.9794921875}, {"start": 304.29, "end": 305.09, "word": " كتبناها", "probability": 0.99150390625}, {"start": 305.09, "end": 305.65, "word": " فوق", "probability": 0.972900390625}, {"start": 305.65, "end": 306.17, "word": " ونرجع", "probability": 0.72052001953125}, {"start": 306.17, "end": 306.89, "word": " نكتبها", "probability": 0.98623046875}, {"start": 306.89, "end": 307.29, "word": " تحت", "probability": 0.99267578125}, {"start": 307.29, "end": 307.93, "word": " تاني", "probability": 0.95751953125}, {"start": 307.93, "end": 308.79, "word": " يبقى", "probability": 0.9677734375}, {"start": 308.79, "end": 309.19, "word": " تان", "probability": 0.968994140625}, {"start": 309.19, "end": 309.79, "word": " تربيع", "probability": 0.944580078125}, {"start": 309.79, "end": 310.41, "word": " لسك", "probability": 0.97314453125}, {"start": 310.41, "end": 311.13, "word": " تربيع", "probability": 0.98388671875}, {"start": 311.13, "end": 311.37, "word": " ال", "probability": 0.91064453125}, {"start": 311.37, "end": 311.63, "word": " X", "probability": 0.65966796875}, {"start": 311.63, "end": 312.61, "word": " ناقص", "probability": 0.962158203125}, {"start": 312.61, "end": 313.63, "word": " واحد", "probability": 0.982666015625}, {"start": 313.63, "end": 315.09, "word": " تمام؟", "probability": 0.70703125}, {"start": 315.09, "end": 315.69, "word": " بيجينا", "probability": 0.95615234375}, {"start": 315.69, "end": 316.31, "word": " سك", "probability": 0.97021484375}, {"start": 316.31, "end": 316.59, "word": " ال", "probability": 0.8740234375}, {"start": 316.59, "end": 317.01, "word": " X", "probability": 0.9765625}, {"start": 317.01, "end": 317.31, "word": " في", "probability": 0.88623046875}, {"start": 317.31, "end": 317.71, "word": " تان", "probability": 0.9765625}, {"start": 317.71, "end": 317.91, "word": " ال", "probability": 0.9384765625}, {"start": 317.91, "end": 318.15, "word": " X", "probability": 0.99072265625}, {"start": 318.15, "end": 318.41, "word": " هذا", "probability": 0.2034912109375}, {"start": 318.41, "end": 318.91, "word": " مشتق", "probability": 0.7921549479166666}, {"start": 318.91, "end": 319.49, "word": " تمين", "probability": 0.44140625}], "temperature": 1.0}, {"id": 15, "seek": 34884, "start": 320.34, "end": 348.84, "text": "مشتغة السك يبقى كله بالنسبة لسك ال X يبقى تحولت مسألة إلى الشكل التالي تكامل لسك أُص أربعة X ناقص سك تربيع ال X كله بالنسبة لسك ال X يبقى بدل ما كنا بدنا نكامل بالنسبة لسك ال X بدنا نكامل بالنسبة لسك ال X", "tokens": [2304, 8592, 2655, 17082, 3660, 21136, 4117, 7251, 3555, 4587, 7578, 28242, 3224, 20666, 1863, 35457, 3660, 5296, 3794, 4117, 2423, 1783, 7251, 3555, 4587, 7578, 6055, 5016, 12610, 2655, 47524, 10721, 37977, 30731, 25124, 28820, 16712, 6027, 1829, 6055, 4117, 10943, 1211, 5296, 3794, 4117, 5551, 10859, 9381, 5551, 25513, 27884, 1783, 8717, 995, 4587, 9381, 8608, 4117, 6055, 2288, 21292, 3615, 2423, 1783, 28242, 3224, 20666, 1863, 35457, 3660, 5296, 3794, 4117, 2423, 1783, 7251, 3555, 4587, 7578, 47525, 1211, 19446, 9122, 8315, 47525, 8315, 8717, 4117, 10943, 1211, 20666, 1863, 35457, 3660, 5296, 3794, 4117, 2423, 1783, 47525, 8315, 8717, 4117, 10943, 1211, 20666, 1863, 35457, 3660, 5296, 3794, 4117, 2423, 1783], "avg_logprob": -0.14426185524669186, "compression_ratio": 2.370860927152318, "no_speech_prob": 0.0, "words": [{"start": 320.34, "end": 321.2, "word": "مشتغة", "probability": 0.526953125}, {"start": 321.2, "end": 321.72, "word": " السك", "probability": 0.610107421875}, {"start": 321.72, "end": 322.18, "word": " يبقى", "probability": 0.885009765625}, {"start": 322.18, "end": 322.76, "word": " كله", "probability": 0.95556640625}, {"start": 322.76, "end": 323.54, "word": " بالنسبة", "probability": 0.9954833984375}, {"start": 323.54, "end": 324.3, "word": " لسك", "probability": 0.9552408854166666}, {"start": 324.3, "end": 324.62, "word": " ال", "probability": 0.77978515625}, {"start": 324.62, "end": 325.04, "word": " X", "probability": 0.74462890625}, {"start": 325.04, "end": 325.98, "word": " يبقى", "probability": 0.926513671875}, {"start": 325.98, "end": 326.88, "word": " تحولت", "probability": 0.845947265625}, {"start": 326.88, "end": 327.58, "word": " مسألة", "probability": 0.9138997395833334}, {"start": 327.58, "end": 328.02, "word": " إلى", "probability": 0.7880859375}, {"start": 328.02, "end": 328.76, "word": " الشكل", "probability": 0.986328125}, {"start": 328.76, "end": 329.46, "word": " التالي", "probability": 0.9524739583333334}, {"start": 329.46, "end": 330.54, "word": " تكامل", "probability": 0.970703125}, {"start": 330.54, "end": 332.02, "word": " لسك", "probability": 0.9532877604166666}, {"start": 332.02, "end": 332.54, "word": " أُص", "probability": 0.5550130208333334}, {"start": 332.54, "end": 333.32, "word": " أربعة", "probability": 0.9054361979166666}, {"start": 333.32, "end": 333.78, "word": " X", "probability": 0.8232421875}, {"start": 333.78, "end": 335.02, "word": " ناقص", "probability": 0.9659423828125}, {"start": 335.02, "end": 335.48, "word": " سك", "probability": 0.960205078125}, {"start": 335.48, "end": 336.54, "word": " تربيع", "probability": 0.8638916015625}, {"start": 336.54, "end": 336.88, "word": " ال", "probability": 0.7705078125}, {"start": 336.88, "end": 337.38, "word": " X", "probability": 0.99169921875}, {"start": 337.38, "end": 338.28, "word": " كله", "probability": 0.9716796875}, {"start": 338.28, "end": 339.28, "word": " بالنسبة", "probability": 0.998291015625}, {"start": 339.28, "end": 340.38, "word": " لسك", "probability": 0.9471028645833334}, {"start": 340.38, "end": 340.66, "word": " ال", "probability": 0.66943359375}, {"start": 340.66, "end": 341.08, "word": " X", "probability": 0.99560546875}, {"start": 341.08, "end": 342.06, "word": " يبقى", "probability": 0.959228515625}, {"start": 342.06, "end": 342.38, "word": " بدل", "probability": 0.98779296875}, {"start": 342.38, "end": 342.52, "word": " ما", "probability": 0.93505859375}, {"start": 342.52, "end": 342.82, "word": " كنا", "probability": 0.981689453125}, {"start": 342.82, "end": 343.16, "word": " بدنا", "probability": 0.68701171875}, {"start": 343.16, "end": 343.64, "word": " نكامل", "probability": 0.9197998046875}, {"start": 343.64, "end": 344.16, "word": " بالنسبة", "probability": 0.992431640625}, {"start": 344.16, "end": 344.36, "word": " لسك", "probability": 0.8997395833333334}, {"start": 344.36, "end": 344.36, "word": " ال", "probability": 0.51513671875}, {"start": 344.36, "end": 344.52, "word": " X", "probability": 0.99658203125}, {"start": 344.52, "end": 345.44, "word": " بدنا", "probability": 0.6741943359375}, {"start": 345.44, "end": 346.16, "word": " نكامل", "probability": 0.983642578125}, {"start": 346.16, "end": 347.18, "word": " بالنسبة", "probability": 0.991455078125}, {"start": 347.18, "end": 348.12, "word": " لسك", "probability": 0.990234375}, {"start": 348.12, "end": 348.5, "word": " ال", "probability": 0.779296875}, {"start": 348.5, "end": 348.84, "word": " X", "probability": 0.9970703125}], "temperature": 1.0}, {"id": 16, "seek": 37770, "start": 349.18, "end": 377.7, "text": "يبقى هذه تساوي خمس سك أس خمسة X ناقص تلت سك تكيب X زائد constant C المثال الرابع يقول يبدو تكامل لمن لسك أس أربعة X في تان أس خمسة X", "tokens": [1829, 3555, 4587, 7578, 29538, 6055, 3794, 995, 45865, 16490, 2304, 3794, 8608, 4117, 5551, 3794, 16490, 2304, 3794, 3660, 1783, 8717, 995, 4587, 9381, 6055, 1211, 2655, 8608, 4117, 6055, 4117, 1829, 3555, 1783, 30767, 16373, 3215, 5754, 383, 9673, 12984, 6027, 34892, 16758, 3615, 7251, 39648, 7251, 44510, 2407, 6055, 4117, 10943, 1211, 5296, 27842, 5296, 3794, 4117, 5551, 3794, 5551, 25513, 27884, 1783, 8978, 6055, 7649, 5551, 3794, 16490, 2304, 3794, 3660, 1783], "avg_logprob": -0.1593952945300511, "compression_ratio": 1.483221476510067, "no_speech_prob": 0.0, "words": [{"start": 349.18, "end": 349.74, "word": "يبقى", "probability": 0.876953125}, {"start": 349.74, "end": 350.1, "word": " هذه", "probability": 0.82763671875}, {"start": 350.1, "end": 351.08, "word": " تساوي", "probability": 0.944091796875}, {"start": 351.08, "end": 353.38, "word": " خمس", "probability": 0.8201497395833334}, {"start": 353.38, "end": 354.4, "word": " سك", "probability": 0.82568359375}, {"start": 354.4, "end": 355.16, "word": " أس", "probability": 0.637939453125}, {"start": 355.16, "end": 356.22, "word": " خمسة", "probability": 0.935302734375}, {"start": 356.22, "end": 356.56, "word": " X", "probability": 0.5380859375}, {"start": 356.56, "end": 357.92, "word": " ناقص", "probability": 0.9434814453125}, {"start": 357.92, "end": 358.72, "word": " تلت", "probability": 0.86083984375}, {"start": 358.72, "end": 359.54, "word": " سك", "probability": 0.97314453125}, {"start": 359.54, "end": 360.4, "word": " تكيب", "probability": 0.7923583984375}, {"start": 360.4, "end": 361.12, "word": " X", "probability": 0.97705078125}, {"start": 361.12, "end": 362.3, "word": " زائد", "probability": 0.89794921875}, {"start": 362.3, "end": 363.02, "word": " constant", "probability": 0.56787109375}, {"start": 363.02, "end": 363.74, "word": " C", "probability": 0.90283203125}, {"start": 363.74, "end": 366.24, "word": " المثال", "probability": 0.9554036458333334}, {"start": 366.24, "end": 367.56, "word": " الرابع", "probability": 0.9095052083333334}, {"start": 367.56, "end": 368.34, "word": " يقول", "probability": 0.787353515625}, {"start": 368.34, "end": 368.74, "word": " يبدو", "probability": 0.500244140625}, {"start": 368.74, "end": 369.68, "word": " تكامل", "probability": 0.98046875}, {"start": 369.68, "end": 370.64, "word": " لمن", "probability": 0.6993408203125}, {"start": 370.64, "end": 372.0, "word": " لسك", "probability": 0.8190104166666666}, {"start": 372.0, "end": 372.58, "word": " أس", "probability": 0.9365234375}, {"start": 372.58, "end": 373.38, "word": " أربعة", "probability": 0.8893229166666666}, {"start": 373.38, "end": 373.88, "word": " X", "probability": 0.974609375}, {"start": 373.88, "end": 374.7, "word": " في", "probability": 0.72412109375}, {"start": 374.7, "end": 375.44, "word": " تان", "probability": 0.94580078125}, {"start": 375.44, "end": 376.24, "word": " أس", "probability": 0.983642578125}, {"start": 376.24, "end": 377.24, "word": " خمسة", "probability": 0.9920654296875}, {"start": 377.24, "end": 377.7, "word": " X", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 17, "seek": 40245, "start": 378.05, "end": 402.45, "text": "كله بالنسبة الى DX لاحظ في السؤالين هنا استخدمنا سك بدرجة كبيرة جدا هنا برضه لازلنا في نفس الموضوع يبقى بده احول مسألة من سك الى تان بده احولها الى تان كيف كان التالي؟", "tokens": [28820, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 48817, 20193, 5016, 19913, 8978, 21136, 33604, 6027, 9957, 34105, 44713, 9778, 40448, 8315, 8608, 4117, 4724, 3215, 47341, 3660, 9122, 3555, 48923, 10874, 28259, 34105, 4724, 43042, 3224, 5296, 31377, 1211, 8315, 8978, 8717, 36178, 9673, 2407, 11242, 45367, 7251, 3555, 4587, 7578, 47525, 3224, 1975, 5016, 12610, 47524, 10721, 37977, 9154, 8608, 4117, 2423, 7578, 6055, 7649, 47525, 3224, 1975, 5016, 12610, 11296, 2423, 7578, 6055, 7649, 9122, 33911, 25961, 16712, 6027, 1829, 22807], "avg_logprob": -0.21341911343967213, "compression_ratio": 1.7383720930232558, "no_speech_prob": 0.0, "words": [{"start": 378.05, "end": 378.63, "word": "كله", "probability": 0.5965576171875}, {"start": 378.63, "end": 379.49, "word": " بالنسبة", "probability": 0.988525390625}, {"start": 379.49, "end": 379.97, "word": " الى", "probability": 0.5302734375}, {"start": 379.97, "end": 380.45, "word": " DX", "probability": 0.615234375}, {"start": 380.45, "end": 383.69, "word": " لاحظ", "probability": 0.8226725260416666}, {"start": 383.69, "end": 384.29, "word": " في", "probability": 0.568359375}, {"start": 384.29, "end": 384.81, "word": " السؤالين", "probability": 0.9599609375}, {"start": 384.81, "end": 385.03, "word": " هنا", "probability": 0.79638671875}, {"start": 385.03, "end": 386.01, "word": " استخدمنا", "probability": 0.927001953125}, {"start": 386.01, "end": 386.63, "word": " سك", "probability": 0.505859375}, {"start": 386.63, "end": 387.65, "word": " بدرجة", "probability": 0.88037109375}, {"start": 387.65, "end": 388.23, "word": " كبيرة", "probability": 0.984375}, {"start": 388.23, "end": 388.71, "word": " جدا", "probability": 0.986572265625}, {"start": 388.71, "end": 389.97, "word": " هنا", "probability": 0.76220703125}, {"start": 389.97, "end": 390.65, "word": " برضه", "probability": 0.9388020833333334}, {"start": 390.65, "end": 391.25, "word": " لازلنا", "probability": 0.8656005859375}, {"start": 391.25, "end": 391.49, "word": " في", "probability": 0.88916015625}, {"start": 391.49, "end": 391.85, "word": " نفس", "probability": 0.995849609375}, {"start": 391.85, "end": 392.57, "word": " الموضوع", "probability": 0.99853515625}, {"start": 392.57, "end": 393.59, "word": " يبقى", "probability": 0.95751953125}, {"start": 393.59, "end": 393.87, "word": " بده", "probability": 0.5108642578125}, {"start": 393.87, "end": 394.29, "word": " احول", "probability": 0.7633463541666666}, {"start": 394.29, "end": 395.03, "word": " مسألة", "probability": 0.6778971354166666}, {"start": 395.03, "end": 396.05, "word": " من", "probability": 0.62744140625}, {"start": 396.05, "end": 397.19, "word": " سك", "probability": 0.925048828125}, {"start": 397.19, "end": 397.71, "word": " الى", "probability": 0.72314453125}, {"start": 397.71, "end": 398.09, "word": " تان", "probability": 0.852294921875}, {"start": 398.09, "end": 398.45, "word": " بده", "probability": 0.725830078125}, {"start": 398.45, "end": 400.05, "word": " احولها", "probability": 0.7962646484375}, {"start": 400.05, "end": 400.35, "word": " الى", "probability": 0.78369140625}, {"start": 400.35, "end": 400.75, "word": " تان", "probability": 0.972412109375}, {"start": 400.75, "end": 401.55, "word": " كيف", "probability": 0.88671875}, {"start": 401.55, "end": 401.77, "word": " كان", "probability": 0.66552734375}, {"start": 401.77, "end": 402.45, "word": " التالي؟", "probability": 0.8372802734375}], "temperature": 1.0}, {"id": 18, "seek": 42205, "start": 402.65, "end": 422.05, "text": "بقول هذا تكامل ل 6 square x في 6 square x في 10 أُس 5x في dx يساوي تكامل شو رايك نتحال عليها هيك و نحولها كلها بدلالة 8", "tokens": [3555, 39648, 23758, 6055, 4117, 10943, 1211, 5296, 1386, 3732, 2031, 8978, 1386, 3732, 2031, 8978, 1266, 5551, 10859, 3794, 1025, 87, 8978, 30017, 7251, 3794, 995, 45865, 6055, 4117, 10943, 1211, 13412, 2407, 12602, 47302, 4117, 8717, 2655, 5016, 6027, 25894, 11296, 39896, 4117, 4032, 8717, 5016, 12610, 11296, 28242, 11296, 4724, 3215, 1211, 6027, 3660, 1649], "avg_logprob": -0.217161014423532, "compression_ratio": 1.3955223880597014, "no_speech_prob": 0.0, "words": [{"start": 402.65, "end": 403.23, "word": "بقول", "probability": 0.790771484375}, {"start": 403.23, "end": 403.53, "word": " هذا", "probability": 0.75927734375}, {"start": 403.53, "end": 404.47, "word": " تكامل", "probability": 0.9656982421875}, {"start": 404.47, "end": 404.81, "word": " ل", "probability": 0.89013671875}, {"start": 404.81, "end": 405.29, "word": " 6", "probability": 0.484619140625}, {"start": 405.29, "end": 406.03, "word": " square", "probability": 0.336181640625}, {"start": 406.03, "end": 406.61, "word": " x", "probability": 0.755859375}, {"start": 406.61, "end": 407.17, "word": " في", "probability": 0.630859375}, {"start": 407.17, "end": 407.67, "word": " 6", "probability": 0.8857421875}, {"start": 407.67, "end": 408.43, "word": " square", "probability": 0.85107421875}, {"start": 408.43, "end": 409.05, "word": " x", "probability": 0.982421875}, {"start": 409.05, "end": 409.73, "word": " في", "probability": 0.8349609375}, {"start": 409.73, "end": 410.21, "word": " 10", "probability": 0.642578125}, {"start": 410.21, "end": 410.69, "word": " أُس", "probability": 0.5448404947916666}, {"start": 410.69, "end": 411.97, "word": " 5x", "probability": 0.758544921875}, {"start": 411.97, "end": 412.51, "word": " في", "probability": 0.953125}, {"start": 412.51, "end": 413.45, "word": " dx", "probability": 0.8984375}, {"start": 413.45, "end": 415.15, "word": " يساوي", "probability": 0.891357421875}, {"start": 415.15, "end": 415.99, "word": " تكامل", "probability": 0.9810791015625}, {"start": 415.99, "end": 416.79, "word": " شو", "probability": 0.843017578125}, {"start": 416.79, "end": 417.33, "word": " رايك", "probability": 0.9578450520833334}, {"start": 417.33, "end": 418.27, "word": " نتحال", "probability": 0.834716796875}, {"start": 418.27, "end": 418.73, "word": " عليها", "probability": 0.936279296875}, {"start": 418.73, "end": 419.19, "word": " هيك", "probability": 0.95263671875}, {"start": 419.19, "end": 419.53, "word": " و", "probability": 0.9443359375}, {"start": 419.53, "end": 420.27, "word": " نحولها", "probability": 0.862060546875}, {"start": 420.27, "end": 420.97, "word": " كلها", "probability": 0.9736328125}, {"start": 420.97, "end": 421.69, "word": " بدلالة", "probability": 0.76123046875}, {"start": 421.69, "end": 422.05, "word": " 8", "probability": 0.52197265625}], "temperature": 1.0}, {"id": 19, "seek": 44673, "start": 422.65, "end": 446.73, "text": "بدلالة اللي هو تان ال X يجب أن نروح نحول المثال هذه كلها بدلالة تان ال X الان six تربيع هذا بقداش اللي هو عبارة عن واحد زائد تان تربيع يبقى واحد زائد تان تربيع ال X الشكل اللي عندنا هذا", "tokens": [3555, 3215, 1211, 6027, 3660, 13672, 1829, 31439, 6055, 7649, 2423, 1783, 7251, 7435, 3555, 14739, 8717, 32887, 5016, 8717, 5016, 12610, 9673, 12984, 6027, 29538, 28242, 11296, 47525, 1211, 6027, 3660, 6055, 7649, 2423, 1783, 2423, 7649, 2309, 6055, 2288, 21292, 3615, 23758, 4724, 28543, 33599, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 30767, 16373, 3215, 6055, 7649, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 36764, 24401, 30767, 16373, 3215, 6055, 7649, 6055, 2288, 21292, 3615, 2423, 1783, 25124, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.19024725798722153, "compression_ratio": 2.012422360248447, "no_speech_prob": 0.0, "words": [{"start": 422.65, "end": 423.75, "word": "بدلالة", "probability": 0.89443359375}, {"start": 423.75, "end": 423.99, "word": " اللي", "probability": 0.50054931640625}, {"start": 423.99, "end": 424.23, "word": " هو", "probability": 0.96337890625}, {"start": 424.23, "end": 424.89, "word": " تان", "probability": 0.893310546875}, {"start": 424.89, "end": 425.15, "word": " ال", "probability": 0.82861328125}, {"start": 425.15, "end": 425.61, "word": " X", "probability": 0.64501953125}, {"start": 425.61, "end": 426.49, "word": " يجب", "probability": 0.7384033203125}, {"start": 426.49, "end": 426.65, "word": " أن", "probability": 0.420166015625}, {"start": 426.65, "end": 427.05, "word": " نروح", "probability": 0.9020182291666666}, {"start": 427.05, "end": 427.59, "word": " نحول", "probability": 0.7659505208333334}, {"start": 427.59, "end": 428.19, "word": " المثال", "probability": 0.7174479166666666}, {"start": 428.19, "end": 428.51, "word": " هذه", "probability": 0.49609375}, {"start": 428.51, "end": 429.21, "word": " كلها", "probability": 0.962158203125}, {"start": 429.21, "end": 430.31, "word": " بدلالة", "probability": 0.9537353515625}, {"start": 430.31, "end": 430.67, "word": " تان", "probability": 0.98974609375}, {"start": 430.67, "end": 430.87, "word": " ال", "probability": 0.9404296875}, {"start": 430.87, "end": 431.21, "word": " X", "probability": 0.98828125}, {"start": 431.21, "end": 432.21, "word": " الان", "probability": 0.61279296875}, {"start": 432.21, "end": 432.97, "word": " six", "probability": 0.38720703125}, {"start": 432.97, "end": 433.77, "word": " تربيع", "probability": 0.85528564453125}, {"start": 433.77, "end": 433.99, "word": " هذا", "probability": 0.31982421875}, {"start": 433.99, "end": 434.75, "word": " بقداش", "probability": 0.7303059895833334}, {"start": 434.75, "end": 437.43, "word": " اللي", "probability": 0.845947265625}, {"start": 437.43, "end": 437.63, "word": " هو", "probability": 0.98876953125}, {"start": 437.63, "end": 438.27, "word": " عبارة", "probability": 0.9769287109375}, {"start": 438.27, "end": 438.67, "word": " عن", "probability": 0.994140625}, {"start": 438.67, "end": 439.21, "word": " واحد", "probability": 0.9736328125}, {"start": 439.21, "end": 439.71, "word": " زائد", "probability": 0.8693033854166666}, {"start": 439.71, "end": 440.03, "word": " تان", "probability": 0.97802734375}, {"start": 440.03, "end": 440.53, "word": " تربيع", "probability": 0.8841552734375}, {"start": 440.53, "end": 440.99, "word": " يبقى", "probability": 0.953857421875}, {"start": 440.99, "end": 441.57, "word": " واحد", "probability": 0.990478515625}, {"start": 441.57, "end": 442.71, "word": " زائد", "probability": 0.9817708333333334}, {"start": 442.71, "end": 443.21, "word": " تان", "probability": 0.98681640625}, {"start": 443.21, "end": 444.57, "word": " تربيع", "probability": 0.9573974609375}, {"start": 444.57, "end": 444.77, "word": " ال", "probability": 0.91943359375}, {"start": 444.77, "end": 445.13, "word": " X", "probability": 0.97607421875}, {"start": 445.13, "end": 445.99, "word": " الشكل", "probability": 0.83251953125}, {"start": 445.99, "end": 446.15, "word": " اللي", "probability": 0.9794921875}, {"start": 446.15, "end": 446.47, "word": " عندنا", "probability": 0.830322265625}, {"start": 446.47, "end": 446.73, "word": " هذا", "probability": 0.853515625}], "temperature": 1.0}, {"id": 20, "seek": 46092, "start": 457.1, "end": 460.92, "text": "مشتاقة مين؟ مشتاقة التان", "tokens": [2304, 8592, 2655, 995, 28671, 3714, 9957, 22807, 37893, 2655, 995, 28671, 16712, 7649], "avg_logprob": -0.4080729246139526, "compression_ratio": 1.125, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 457.1, "end": 458.5, "word": "مشتاقة", "probability": 0.7296875}, {"start": 458.5, "end": 459.42, "word": " مين؟", "probability": 0.6274007161458334}, {"start": 459.42, "end": 460.32, "word": " مشتاقة", "probability": 0.941162109375}, {"start": 460.32, "end": 460.92, "word": " التان", "probability": 0.623046875}], "temperature": 1.0}, {"id": 21, "seek": 48460, "start": 461.34, "end": 484.6, "text": "يبقى هذه D لتان ال X يبقى مسألة أصبحت على الشكل التالي تان أس خمسة X زائد تان أس سبعة X كله بالنسبة إلى من؟ إلى تان ال X طيب خلاص", "tokens": [1829, 3555, 4587, 7578, 29538, 413, 5296, 2655, 7649, 2423, 1783, 7251, 3555, 4587, 7578, 47524, 10721, 37977, 5551, 9381, 3555, 33753, 15844, 25124, 28820, 16712, 6027, 1829, 6055, 7649, 5551, 3794, 16490, 2304, 3794, 3660, 1783, 30767, 16373, 3215, 6055, 7649, 5551, 3794, 8608, 3555, 27884, 1783, 28242, 3224, 20666, 1863, 35457, 3660, 30731, 9154, 22807, 30731, 6055, 7649, 2423, 1783, 23032, 1829, 3555, 16490, 1211, 33546], "avg_logprob": -0.1670063474903936, "compression_ratio": 1.6277372262773722, "no_speech_prob": 0.0, "words": [{"start": 461.34, "end": 462.1, "word": "يبقى", "probability": 0.8363037109375}, {"start": 462.1, "end": 462.66, "word": " هذه", "probability": 0.76171875}, {"start": 462.66, "end": 463.34, "word": " D", "probability": 0.53466796875}, {"start": 463.34, "end": 464.7, "word": " لتان", "probability": 0.7665201822916666}, {"start": 464.7, "end": 464.98, "word": " ال", "probability": 0.83740234375}, {"start": 464.98, "end": 465.5, "word": " X", "probability": 0.87548828125}, {"start": 465.5, "end": 466.48, "word": " يبقى", "probability": 0.9373779296875}, {"start": 466.48, "end": 467.14, "word": " مسألة", "probability": 0.8776041666666666}, {"start": 467.14, "end": 467.9, "word": " أصبحت", "probability": 0.9134521484375}, {"start": 467.9, "end": 468.16, "word": " على", "probability": 0.88671875}, {"start": 468.16, "end": 468.74, "word": " الشكل", "probability": 0.985107421875}, {"start": 468.74, "end": 469.56, "word": " التالي", "probability": 0.97802734375}, {"start": 469.56, "end": 470.54, "word": " تان", "probability": 0.624267578125}, {"start": 470.54, "end": 471.0, "word": " أس", "probability": 0.595703125}, {"start": 471.0, "end": 471.82, "word": " خمسة", "probability": 0.94677734375}, {"start": 471.82, "end": 472.16, "word": " X", "probability": 0.85302734375}, {"start": 472.16, "end": 473.28, "word": " زائد", "probability": 0.9134114583333334}, {"start": 473.28, "end": 473.82, "word": " تان", "probability": 0.98779296875}, {"start": 473.82, "end": 474.32, "word": " أس", "probability": 0.96923828125}, {"start": 474.32, "end": 474.9, "word": " سبعة", "probability": 0.95751953125}, {"start": 474.9, "end": 475.46, "word": " X", "probability": 0.98876953125}, {"start": 475.46, "end": 476.26, "word": " كله", "probability": 0.93212890625}, {"start": 476.26, "end": 476.94, "word": " بالنسبة", "probability": 0.9913330078125}, {"start": 476.94, "end": 477.2, "word": " إلى", "probability": 0.81494140625}, {"start": 477.2, "end": 478.22, "word": " من؟", "probability": 0.550048828125}, {"start": 478.22, "end": 478.64, "word": " إلى", "probability": 0.857421875}, {"start": 478.64, "end": 479.78, "word": " تان", "probability": 0.989990234375}, {"start": 479.78, "end": 480.1, "word": " ال", "probability": 0.853515625}, {"start": 480.1, "end": 480.7, "word": " X", "probability": 0.99267578125}, {"start": 480.7, "end": 483.84, "word": " طيب", "probability": 0.8411458333333334}, {"start": 483.84, "end": 484.6, "word": " خلاص", "probability": 0.7762044270833334}], "temperature": 1.0}, {"id": 22, "seek": 50066, "start": 485.42, "end": 500.66, "text": "يبقى هذه تساوي اللي هو السادس تان اص ست اكس زائد تمان تان اص تمانية اكس زائد constant C", "tokens": [1829, 3555, 4587, 7578, 29538, 6055, 3794, 995, 45865, 13672, 1829, 31439, 21136, 18513, 3794, 6055, 7649, 1975, 9381, 8608, 2655, 1975, 4117, 3794, 30767, 16373, 3215, 46811, 7649, 6055, 7649, 1975, 9381, 46811, 7649, 10632, 1975, 4117, 3794, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.24236110581292047, "compression_ratio": 1.4554455445544554, "no_speech_prob": 0.0, "words": [{"start": 485.42, "end": 485.98, "word": "يبقى", "probability": 0.8511962890625}, {"start": 485.98, "end": 486.42, "word": " هذه", "probability": 0.77880859375}, {"start": 486.42, "end": 487.68, "word": " تساوي", "probability": 0.936279296875}, {"start": 487.68, "end": 488.26, "word": " اللي", "probability": 0.771240234375}, {"start": 488.26, "end": 488.46, "word": " هو", "probability": 0.97412109375}, {"start": 488.46, "end": 489.36, "word": " السادس", "probability": 0.5892740885416666}, {"start": 489.36, "end": 490.44, "word": " تان", "probability": 0.732421875}, {"start": 490.44, "end": 491.08, "word": " اص", "probability": 0.3306884765625}, {"start": 491.08, "end": 491.58, "word": " ست", "probability": 0.69384765625}, {"start": 491.58, "end": 492.32, "word": " اكس", "probability": 0.841796875}, {"start": 492.32, "end": 493.28, "word": " زائد", "probability": 0.87255859375}, {"start": 493.28, "end": 493.94, "word": " تمان", "probability": 0.798095703125}, {"start": 493.94, "end": 495.5, "word": " تان", "probability": 0.975341796875}, {"start": 495.5, "end": 496.38, "word": " اص", "probability": 0.949462890625}, {"start": 496.38, "end": 497.38, "word": " تمانية", "probability": 0.9820963541666666}, {"start": 497.38, "end": 498.42, "word": " اكس", "probability": 0.97998046875}, {"start": 498.42, "end": 499.34, "word": " زائد", "probability": 0.9728190104166666}, {"start": 499.34, "end": 499.96, "word": " constant", "probability": 0.7265625}, {"start": 499.96, "end": 500.66, "word": " C", "probability": 0.6669921875}], "temperature": 1.0}, {"id": 23, "seek": 52101, "start": 505.51, "end": 521.01, "text": "يبقى هنا سؤال خمسة بدنا تكامل ل six أس أربعة x تان أس أربعة x كله بالنسبة لمين ل dx", "tokens": [1829, 3555, 4587, 7578, 34105, 8608, 33604, 6027, 16490, 2304, 3794, 3660, 47525, 8315, 6055, 4117, 10943, 1211, 5296, 2309, 5551, 3794, 5551, 25513, 27884, 2031, 6055, 7649, 5551, 3794, 5551, 25513, 27884, 2031, 28242, 3224, 20666, 1863, 35457, 3660, 32767, 9957, 5296, 30017], "avg_logprob": -0.24444444444444444, "compression_ratio": 1.3592233009708738, "no_speech_prob": 0.0, "words": [{"start": 505.51, "end": 506.05, "word": "يبقى", "probability": 0.82220458984375}, {"start": 506.05, "end": 506.57, "word": " هنا", "probability": 0.96923828125}, {"start": 506.57, "end": 507.71, "word": " سؤال", "probability": 0.9055989583333334}, {"start": 507.71, "end": 508.59, "word": " خمسة", "probability": 0.8023681640625}, {"start": 508.59, "end": 509.31, "word": " بدنا", "probability": 0.731689453125}, {"start": 509.31, "end": 510.25, "word": " تكامل", "probability": 0.9822998046875}, {"start": 510.25, "end": 510.91, "word": " ل", "probability": 0.90625}, {"start": 510.91, "end": 511.45, "word": " six", "probability": 0.176513671875}, {"start": 511.45, "end": 511.95, "word": " أس", "probability": 0.55419921875}, {"start": 511.95, "end": 512.83, "word": " أربعة", "probability": 0.8136393229166666}, {"start": 512.83, "end": 513.27, "word": " x", "probability": 0.61669921875}, {"start": 513.27, "end": 515.21, "word": " تان", "probability": 0.873046875}, {"start": 515.21, "end": 516.25, "word": " أس", "probability": 0.978515625}, {"start": 516.25, "end": 517.19, "word": " أربعة", "probability": 0.92041015625}, {"start": 517.19, "end": 517.65, "word": " x", "probability": 0.9375}, {"start": 517.65, "end": 518.45, "word": " كله", "probability": 0.947509765625}, {"start": 518.45, "end": 519.01, "word": " بالنسبة", "probability": 0.99365234375}, {"start": 519.01, "end": 519.61, "word": " لمين", "probability": 0.781982421875}, {"start": 519.61, "end": 520.27, "word": " ل", "probability": 0.7890625}, {"start": 520.27, "end": 521.01, "word": " dx", "probability": 0.302978515625}], "temperature": 1.0}, {"id": 24, "seek": 53798, "start": 527.72, "end": 537.98, "text": "علي صوتك و نسمع بما عرفتك بس لتفاضل التان و تفاضل السك", "tokens": [3615, 20292, 20328, 35473, 4117, 4032, 8717, 38251, 3615, 4724, 15042, 6225, 28480, 2655, 4117, 4724, 3794, 5296, 2655, 5172, 46958, 1211, 16712, 7649, 4032, 6055, 5172, 46958, 1211, 21136, 4117], "avg_logprob": -0.3146972758695483, "compression_ratio": 1.3108108108108107, "no_speech_prob": 0.0, "words": [{"start": 527.72, "end": 528.72, "word": "علي", "probability": 0.5361328125}, {"start": 528.72, "end": 529.22, "word": " صوتك", "probability": 0.9938151041666666}, {"start": 529.22, "end": 529.32, "word": " و", "probability": 0.301513671875}, {"start": 529.32, "end": 529.88, "word": " نسمع", "probability": 0.8307291666666666}, {"start": 529.88, "end": 534.32, "word": " بما", "probability": 0.3980712890625}, {"start": 534.32, "end": 535.14, "word": " عرفتك", "probability": 0.86328125}, {"start": 535.14, "end": 535.5, "word": " بس", "probability": 0.918212890625}, {"start": 535.5, "end": 536.6, "word": " لتفاضل", "probability": 0.8703125}, {"start": 536.6, "end": 536.88, "word": " التان", "probability": 0.745361328125}, {"start": 536.88, "end": 537.0, "word": " و", "probability": 0.5625}, {"start": 537.0, "end": 537.48, "word": " تفاضل", "probability": 0.85418701171875}, {"start": 537.48, "end": 537.98, "word": " السك", "probability": 0.8125}], "temperature": 1.0}, {"id": 25, "seek": 56654, "start": 538.5, "end": 566.54, "text": "يعني انا الان باعرف ان تفاضل التان بقداش تربيه ممتاز جدا يبقى بشوف هل بتتحول كلها بدلالة التان ولا بتتحول بدلالة السك تفاضل السك بسك تان يبقى انا بمشي حسب طبيعة المثلة وحسب معرفتي بقواعد اشتقاق تبع ال calculus اي مشتقة الدوال المثلثية", "tokens": [40228, 22653, 1975, 8315, 2423, 7649, 4724, 45761, 28480, 16472, 6055, 5172, 46958, 1211, 16712, 7649, 4724, 28543, 33599, 6055, 2288, 21292, 3224, 3714, 2304, 2655, 31377, 10874, 28259, 7251, 3555, 4587, 7578, 4724, 8592, 38688, 8032, 1211, 39894, 2655, 5016, 12610, 28242, 11296, 47525, 1211, 6027, 3660, 16712, 7649, 49429, 39894, 2655, 5016, 12610, 47525, 1211, 6027, 3660, 21136, 4117, 6055, 5172, 46958, 1211, 21136, 4117, 4724, 3794, 4117, 6055, 7649, 7251, 3555, 4587, 7578, 1975, 8315, 4724, 2304, 8592, 1829, 11331, 35457, 23032, 21292, 27884, 9673, 12984, 37977, 4032, 5016, 35457, 20449, 28480, 31371, 4724, 4587, 14407, 22488, 1975, 8592, 2655, 4587, 995, 4587, 6055, 3555, 3615, 2423, 33400, 1975, 1829, 37893, 2655, 28671, 32748, 2407, 6027, 9673, 12984, 1211, 12984, 10632], "avg_logprob": -0.22387499713897704, "compression_ratio": 2.0, "no_speech_prob": 0.0, "words": [{"start": 538.5, "end": 538.96, "word": "يعني", "probability": 0.7314453125}, {"start": 538.96, "end": 539.28, "word": " انا", "probability": 0.675537109375}, {"start": 539.28, "end": 539.56, "word": " الان", "probability": 0.32086181640625}, {"start": 539.56, "end": 539.96, "word": " باعرف", "probability": 0.66552734375}, {"start": 539.96, "end": 540.08, "word": " ان", "probability": 0.853515625}, {"start": 540.08, "end": 540.56, "word": " تفاضل", "probability": 0.86376953125}, {"start": 540.56, "end": 540.82, "word": " التان", "probability": 0.8759765625}, {"start": 540.82, "end": 541.52, "word": " بقداش", "probability": 0.7318522135416666}, {"start": 541.52, "end": 544.64, "word": " تربيه", "probability": 0.565673828125}, {"start": 544.64, "end": 545.14, "word": " ممتاز", "probability": 0.9530029296875}, {"start": 545.14, "end": 545.46, "word": " جدا", "probability": 0.89892578125}, {"start": 545.46, "end": 546.2, "word": " يبقى", "probability": 0.693603515625}, {"start": 546.2, "end": 546.78, "word": " بشوف", "probability": 0.92822265625}, {"start": 546.78, "end": 547.02, "word": " هل", "probability": 0.959716796875}, {"start": 547.02, "end": 547.66, "word": " بتتحول", "probability": 0.9383544921875}, {"start": 547.66, "end": 548.08, "word": " كلها", "probability": 0.6197509765625}, {"start": 548.08, "end": 548.62, "word": " بدلالة", "probability": 0.9093017578125}, {"start": 548.62, "end": 549.12, "word": " التان", "probability": 0.9794921875}, {"start": 549.12, "end": 549.62, "word": " ولا", "probability": 0.392822265625}, {"start": 549.62, "end": 550.18, "word": " بتتحول", "probability": 0.9564208984375}, {"start": 550.18, "end": 550.88, "word": " بدلالة", "probability": 0.971923828125}, {"start": 550.88, "end": 551.56, "word": " السك", "probability": 0.5152587890625}, {"start": 551.56, "end": 553.72, "word": " تفاضل", "probability": 0.8905029296875}, {"start": 553.72, "end": 554.26, "word": " السك", "probability": 0.97314453125}, {"start": 554.26, "end": 554.78, "word": " بسك", "probability": 0.8458658854166666}, {"start": 554.78, "end": 555.04, "word": " تان", "probability": 0.85302734375}, {"start": 555.04, "end": 555.46, "word": " يبقى", "probability": 0.9508056640625}, {"start": 555.46, "end": 555.84, "word": " انا", "probability": 0.78564453125}, {"start": 555.84, "end": 556.52, "word": " بمشي", "probability": 0.9671630859375}, {"start": 556.52, "end": 556.92, "word": " حسب", "probability": 0.983154296875}, {"start": 556.92, "end": 557.68, "word": " طبيعة", "probability": 0.8601888020833334}, {"start": 557.68, "end": 558.6, "word": " المثلة", "probability": 0.802734375}, {"start": 558.6, "end": 559.2, "word": " وحسب", "probability": 0.9461263020833334}, {"start": 559.2, "end": 560.04, "word": " معرفتي", "probability": 0.9518229166666666}, {"start": 560.04, "end": 561.16, "word": " بقواعد", "probability": 0.948486328125}, {"start": 561.16, "end": 561.84, "word": " اشتقاق", "probability": 0.787109375}, {"start": 561.84, "end": 562.16, "word": " تبع", "probability": 0.7867838541666666}, {"start": 562.16, "end": 562.3, "word": " ال", "probability": 0.2998046875}, {"start": 562.3, "end": 562.72, "word": " calculus", "probability": 0.50634765625}, {"start": 562.72, "end": 563.26, "word": " اي", "probability": 0.80322265625}, {"start": 563.26, "end": 563.88, "word": " مشتقة", "probability": 0.7994791666666666}, {"start": 563.88, "end": 564.68, "word": " الدوال", "probability": 0.9358723958333334}, {"start": 564.68, "end": 566.54, "word": " المثلثية", "probability": 0.89560546875}], "temperature": 1.0}, {"id": 26, "seek": 58695, "start": 566.79, "end": 586.95, "text": "وخاصة في موضوعنا في النقطة الأخيرة هذه اللي هو ال sick وال tan ماشي طيب لاحظ ان احنا بدنا المرة اللي فاتت ب sick أس ستة اليوم بدنا بتان أس أربعة ثم ذهبنا إلى sick تكيب تان تكيب الأسس فردية", "tokens": [2407, 9778, 33546, 3660, 8978, 3714, 2407, 11242, 45367, 8315, 8978, 28239, 47432, 3660, 16247, 9778, 48923, 29538, 13672, 1829, 31439, 2423, 4998, 16070, 7603, 3714, 33599, 1829, 23032, 1829, 3555, 20193, 5016, 19913, 16472, 1975, 5016, 8315, 47525, 8315, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 4724, 4998, 5551, 3794, 8608, 2655, 3660, 45595, 20498, 47525, 8315, 39894, 7649, 5551, 3794, 5551, 25513, 27884, 38637, 2304, 29910, 3224, 3555, 8315, 30731, 4998, 6055, 4117, 1829, 3555, 6055, 7649, 6055, 4117, 1829, 3555, 16247, 3794, 3794, 6156, 2288, 3215, 10632], "avg_logprob": -0.20930631311385187, "compression_ratio": 1.7311827956989247, "no_speech_prob": 0.0, "words": [{"start": 566.79, "end": 567.67, "word": "وخاصة", "probability": 0.8565673828125}, {"start": 567.67, "end": 567.77, "word": " في", "probability": 0.91845703125}, {"start": 567.77, "end": 568.43, "word": " موضوعنا", "probability": 0.96923828125}, {"start": 568.43, "end": 568.55, "word": " في", "probability": 0.92431640625}, {"start": 568.55, "end": 568.93, "word": " النقطة", "probability": 0.9441731770833334}, {"start": 568.93, "end": 569.31, "word": " الأخيرة", "probability": 0.8889973958333334}, {"start": 569.31, "end": 569.57, "word": " هذه", "probability": 0.327880859375}, {"start": 569.57, "end": 569.69, "word": " اللي", "probability": 0.8984375}, {"start": 569.69, "end": 569.79, "word": " هو", "probability": 0.7158203125}, {"start": 569.79, "end": 569.97, "word": " ال", "probability": 0.77099609375}, {"start": 569.97, "end": 570.21, "word": " sick", "probability": 0.05322265625}, {"start": 570.21, "end": 570.53, "word": " وال", "probability": 0.69384765625}, {"start": 570.53, "end": 570.83, "word": " tan", "probability": 0.346435546875}, {"start": 570.83, "end": 571.97, "word": " ماشي", "probability": 0.7395833333333334}, {"start": 571.97, "end": 573.31, "word": " طيب", "probability": 0.8603515625}, {"start": 573.31, "end": 574.83, "word": " لاحظ", "probability": 0.9217122395833334}, {"start": 574.83, "end": 575.35, "word": " ان", "probability": 0.414794921875}, {"start": 575.35, "end": 575.71, "word": " احنا", "probability": 0.9371744791666666}, {"start": 575.71, "end": 576.09, "word": " بدنا", "probability": 0.718505859375}, {"start": 576.09, "end": 576.47, "word": " المرة", "probability": 0.963623046875}, {"start": 576.47, "end": 576.65, "word": " اللي", "probability": 0.88818359375}, {"start": 576.65, "end": 577.11, "word": " فاتت", "probability": 0.9889322916666666}, {"start": 577.11, "end": 577.27, "word": " ب", "probability": 0.900390625}, {"start": 577.27, "end": 577.69, "word": " sick", "probability": 0.697265625}, {"start": 577.69, "end": 578.07, "word": " أس", "probability": 0.59375}, {"start": 578.07, "end": 579.01, "word": " ستة", "probability": 0.9122721354166666}, {"start": 579.01, "end": 579.87, "word": " اليوم", "probability": 0.943115234375}, {"start": 579.87, "end": 580.25, "word": " بدنا", "probability": 0.96484375}, {"start": 580.25, "end": 580.83, "word": " بتان", "probability": 0.6949462890625}, {"start": 580.83, "end": 581.19, "word": " أس", "probability": 0.97314453125}, {"start": 581.19, "end": 581.79, "word": " أربعة", "probability": 0.81982421875}, {"start": 581.79, "end": 582.45, "word": " ثم", "probability": 0.9658203125}, {"start": 582.45, "end": 583.29, "word": " ذهبنا", "probability": 0.98046875}, {"start": 583.29, "end": 583.63, "word": " إلى", "probability": 0.54638671875}, {"start": 583.63, "end": 584.03, "word": " sick", "probability": 0.67236328125}, {"start": 584.03, "end": 584.61, "word": " تكيب", "probability": 0.8858642578125}, {"start": 584.61, "end": 584.99, "word": " تان", "probability": 0.78857421875}, {"start": 584.99, "end": 585.75, "word": " تكيب", "probability": 0.974853515625}, {"start": 585.75, "end": 586.27, "word": " الأسس", "probability": 0.9013671875}, {"start": 586.27, "end": 586.95, "word": " فردية", "probability": 0.8289794921875}], "temperature": 1.0}, {"id": 27, "seek": 60003, "start": 594.87, "end": 600.03, "text": "كانت طريقة تبع السلام في ال fashion أربع عامة جدا، ان نحط بالذات التاني وساكن", "tokens": [41361, 2655, 23032, 16572, 28671, 6055, 3555, 3615, 21136, 15040, 2304, 8978, 2423, 6700, 5551, 25513, 3615, 6225, 10943, 3660, 10874, 28259, 12399, 16472, 8717, 5016, 9566, 20666, 8848, 9307, 16712, 7649, 1829, 46952, 995, 19452], "avg_logprob": -0.6173986422049033, "compression_ratio": 1.2314814814814814, "no_speech_prob": 0.0, "words": [{"start": 594.87, "end": 595.47, "word": "كانت", "probability": 0.4798583984375}, {"start": 595.47, "end": 595.73, "word": " طريقة", "probability": 0.7981770833333334}, {"start": 595.73, "end": 595.97, "word": " تبع", "probability": 0.3666788736979167}, {"start": 595.97, "end": 596.39, "word": " السلام", "probability": 0.3393961588541667}, {"start": 596.39, "end": 596.55, "word": " في", "probability": 0.401611328125}, {"start": 596.55, "end": 596.59, "word": " ال", "probability": 0.63232421875}, {"start": 596.59, "end": 596.87, "word": " fashion", "probability": 0.93994140625}, {"start": 596.87, "end": 597.25, "word": " أربع", "probability": 0.6939290364583334}, {"start": 597.25, "end": 597.45, "word": " عامة", "probability": 0.91943359375}, {"start": 597.45, "end": 597.91, "word": " جدا،", "probability": 0.6344401041666666}, {"start": 597.91, "end": 598.07, "word": " ان", "probability": 0.422607421875}, {"start": 598.07, "end": 598.41, "word": " نحط", "probability": 0.7754720052083334}, {"start": 598.41, "end": 598.71, "word": " بالذات", "probability": 0.63592529296875}, {"start": 598.71, "end": 599.73, "word": " التاني", "probability": 0.513671875}, {"start": 599.73, "end": 600.03, "word": " وساكن", "probability": 0.5414225260416666}], "temperature": 1.0}, {"id": 28, "seek": 62944, "start": 600.46, "end": 629.44, "text": "شوف يا سيدي هدول حساب المثلثات ممكن كل واحد يحل بطريقة شكل حسب استخدام ونميه للقوانين وبالتالي مافيش إشكالية مانقولش لا يوجد إلا هذا الحل ربما تلاقي بدل الحل حلين لكن كله أساسه اللي هو القواعد تبعت حساب المثلثات طيب نرجع لسؤالنا سك أص أربعتان أص أربعة بنفس التكتيك اللي اتبعته", "tokens": [8592, 38688, 35186, 8608, 1829, 16254, 8032, 3215, 12610, 11331, 3794, 16758, 9673, 12984, 1211, 12984, 9307, 3714, 43020, 28242, 36764, 24401, 7251, 5016, 1211, 4724, 9566, 16572, 28671, 13412, 28820, 11331, 35457, 44713, 9778, 3215, 10943, 4032, 1863, 2304, 1829, 3224, 24976, 4587, 2407, 7649, 9957, 46599, 6027, 2655, 6027, 1829, 19446, 41185, 8592, 11933, 8592, 4117, 6027, 10632, 19446, 1863, 39648, 8592, 20193, 7251, 29245, 3215, 11933, 15040, 23758, 21542, 1211, 12602, 3555, 15042, 6055, 15040, 38436, 47525, 1211, 21542, 1211, 11331, 1211, 9957, 44381, 28242, 3224, 5551, 3794, 32277, 3224, 13672, 1829, 31439, 25062, 14407, 22488, 6055, 3555, 34268, 11331, 3794, 16758, 9673, 12984, 1211, 12984, 9307, 23032, 1829, 3555, 8717, 47341, 3615, 5296, 3794, 33604, 6027, 8315, 8608, 4117, 5551, 9381, 5551, 25513, 34268, 7649, 5551, 9381, 5551, 25513, 27884, 44945, 36178, 16712, 4117, 31371, 4117, 13672, 1829, 1975, 2655, 3555, 34268, 3224], "avg_logprob": -0.16142314138847427, "compression_ratio": 1.9382239382239381, "no_speech_prob": 0.0, "words": [{"start": 600.46, "end": 600.9, "word": "شوف", "probability": 0.52886962890625}, {"start": 600.9, "end": 601.04, "word": " يا", "probability": 0.8876953125}, {"start": 601.04, "end": 601.32, "word": " سيدي", "probability": 0.84130859375}, {"start": 601.32, "end": 602.68, "word": " هدول", "probability": 0.8693033854166666}, {"start": 602.68, "end": 603.36, "word": " حساب", "probability": 0.9788411458333334}, {"start": 603.36, "end": 604.52, "word": " المثلثات", "probability": 0.9751953125}, {"start": 604.52, "end": 605.6, "word": " ممكن", "probability": 0.97802734375}, {"start": 605.6, "end": 605.92, "word": " كل", "probability": 0.92626953125}, {"start": 605.92, "end": 606.34, "word": " واحد", "probability": 0.99609375}, {"start": 606.34, "end": 606.84, "word": " يحل", "probability": 0.9923502604166666}, {"start": 606.84, "end": 607.42, "word": " بطريقة", "probability": 0.9747314453125}, {"start": 607.42, "end": 607.8, "word": " شكل", "probability": 0.982666015625}, {"start": 607.8, "end": 608.18, "word": " حسب", "probability": 0.9560546875}, {"start": 608.18, "end": 608.66, "word": " استخدام", "probability": 0.977783203125}, {"start": 608.66, "end": 609.02, "word": " ونميه", "probability": 0.591015625}, {"start": 609.02, "end": 609.88, "word": " للقوانين", "probability": 0.88583984375}, {"start": 609.88, "end": 610.84, "word": " وبالتالي", "probability": 0.759814453125}, {"start": 610.84, "end": 611.1, "word": " مافيش", "probability": 0.9365234375}, {"start": 611.1, "end": 611.58, "word": " إشكالية", "probability": 0.7556640625}, {"start": 611.58, "end": 612.48, "word": " مانقولش", "probability": 0.8748779296875}, {"start": 612.48, "end": 612.8, "word": " لا", "probability": 0.8935546875}, {"start": 612.8, "end": 613.42, "word": " يوجد", "probability": 0.98046875}, {"start": 613.42, "end": 613.82, "word": " إلا", "probability": 0.91162109375}, {"start": 613.82, "end": 614.16, "word": " هذا", "probability": 0.94775390625}, {"start": 614.16, "end": 614.64, "word": " الحل", "probability": 0.987060546875}, {"start": 614.64, "end": 615.12, "word": " ربما", "probability": 0.9015299479166666}, {"start": 615.12, "end": 615.48, "word": " تلاقي", "probability": 0.9635416666666666}, {"start": 615.48, "end": 615.8, "word": " بدل", "probability": 0.924072265625}, {"start": 615.8, "end": 616.14, "word": " الحل", "probability": 0.970458984375}, {"start": 616.14, "end": 616.62, "word": " حلين", "probability": 0.5655924479166666}, {"start": 616.62, "end": 617.22, "word": " لكن", "probability": 0.82470703125}, {"start": 617.22, "end": 617.68, "word": " كله", "probability": 0.976806640625}, {"start": 617.68, "end": 618.38, "word": " أساسه", "probability": 0.9853515625}, {"start": 618.38, "end": 619.04, "word": " اللي", "probability": 0.937255859375}, {"start": 619.04, "end": 619.2, "word": " هو", "probability": 0.99267578125}, {"start": 619.2, "end": 619.78, "word": " القواعد", "probability": 0.9645182291666666}, {"start": 619.78, "end": 620.14, "word": " تبعت", "probability": 0.8935546875}, {"start": 620.14, "end": 620.9, "word": " حساب", "probability": 0.9943033854166666}, {"start": 620.9, "end": 622.46, "word": " المثلثات", "probability": 0.99501953125}, {"start": 622.46, "end": 623.56, "word": " طيب", "probability": 0.92529296875}, {"start": 623.56, "end": 623.94, "word": " نرجع", "probability": 0.900390625}, {"start": 623.94, "end": 624.66, "word": " لسؤالنا", "probability": 0.9453125}, {"start": 624.66, "end": 624.94, "word": " سك", "probability": 0.37921142578125}, {"start": 624.94, "end": 625.22, "word": " أص", "probability": 0.5006103515625}, {"start": 625.22, "end": 626.56, "word": " أربعتان", "probability": 0.9029541015625}, {"start": 626.56, "end": 626.98, "word": " أص", "probability": 0.96728515625}, {"start": 626.98, "end": 627.38, "word": " أربعة", "probability": 0.9435221354166666}, {"start": 627.38, "end": 627.88, "word": " بنفس", "probability": 0.966796875}, {"start": 627.88, "end": 628.5, "word": " التكتيك", "probability": 0.8294677734375}, {"start": 628.5, "end": 628.7, "word": " اللي", "probability": 0.937744140625}, {"start": 628.7, "end": 629.44, "word": " اتبعته", "probability": 0.9197265625}], "temperature": 1.0}, {"id": 29, "seek": 64290, "start": 629.6, "end": 642.9, "text": "قبل قليل يبقى باجي بقوله هذا عبارة عن تكامل ل sector بيها ال x في sector بيها ال x في 10 أص 4x في ال dx", "tokens": [4587, 36150, 12174, 20292, 1211, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 23758, 6225, 3555, 9640, 3660, 18871, 6055, 4117, 10943, 1211, 5296, 6977, 4724, 1829, 11296, 2423, 2031, 8978, 6977, 4724, 1829, 11296, 2423, 2031, 8978, 1266, 5551, 9381, 1017, 87, 8978, 2423, 30017], "avg_logprob": -0.2110969436411955, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 629.6, "end": 630.24, "word": "قبل", "probability": 0.7958984375}, {"start": 630.24, "end": 631.08, "word": " قليل", "probability": 0.99169921875}, {"start": 631.08, "end": 631.66, "word": " يبقى", "probability": 0.902099609375}, {"start": 631.66, "end": 632.06, "word": " باجي", "probability": 0.9288736979166666}, {"start": 632.06, "end": 632.58, "word": " بقوله", "probability": 0.7403157552083334}, {"start": 632.58, "end": 632.96, "word": " هذا", "probability": 0.828125}, {"start": 632.96, "end": 633.58, "word": " عبارة", "probability": 0.9705810546875}, {"start": 633.58, "end": 633.86, "word": " عن", "probability": 0.99755859375}, {"start": 633.86, "end": 634.62, "word": " تكامل", "probability": 0.977783203125}, {"start": 634.62, "end": 635.0, "word": " ل", "probability": 0.92041015625}, {"start": 635.0, "end": 635.7, "word": " sector", "probability": 0.8046875}, {"start": 635.7, "end": 636.22, "word": " بيها", "probability": 0.6364339192708334}, {"start": 636.22, "end": 636.4, "word": " ال", "probability": 0.93896484375}, {"start": 636.4, "end": 636.74, "word": " x", "probability": 0.515625}, {"start": 636.74, "end": 637.34, "word": " في", "probability": 0.88037109375}, {"start": 637.34, "end": 637.9, "word": " sector", "probability": 0.93017578125}, {"start": 637.9, "end": 638.54, "word": " بيها", "probability": 0.9881184895833334}, {"start": 638.54, "end": 638.74, "word": " ال", "probability": 0.990234375}, {"start": 638.74, "end": 639.14, "word": " x", "probability": 0.9443359375}, {"start": 639.14, "end": 639.78, "word": " في", "probability": 0.85498046875}, {"start": 639.78, "end": 640.28, "word": " 10", "probability": 0.33984375}, {"start": 640.28, "end": 640.76, "word": " أص", "probability": 0.4876708984375}, {"start": 640.76, "end": 642.06, "word": " 4x", "probability": 0.793701171875}, {"start": 642.06, "end": 642.42, "word": " في", "probability": 0.91650390625}, {"start": 642.42, "end": 642.54, "word": " ال", "probability": 0.42138671875}, {"start": 642.54, "end": 642.9, "word": " dx", "probability": 0.8515625}], "temperature": 1.0}, {"id": 30, "seek": 66641, "start": 644.13, "end": 666.41, "text": "بعد هيك ممكن احولها كلها بدلالة التان كما عملنا في السؤال اللي جابله بالضبط تماما رغم ان الاسس واحد زوجي وواحد فردي لكن اتنين زوجيين يبقى هدول مش ال sine و ال cosine يزهجون انطلعوا زوجيين لأ لأ هدول سهلات جدا يبقى هذا الكلام بده يساوي تكامل", "tokens": [3555, 22488, 39896, 4117, 3714, 43020, 1975, 5016, 12610, 11296, 28242, 11296, 47525, 1211, 6027, 3660, 16712, 7649, 9122, 15042, 6225, 42213, 8315, 8978, 21136, 33604, 6027, 13672, 1829, 10874, 16758, 43761, 20666, 11242, 3555, 9566, 46811, 10943, 995, 12602, 17082, 2304, 16472, 2423, 32277, 3794, 36764, 24401, 30767, 29245, 1829, 4032, 14407, 24401, 6156, 2288, 16254, 44381, 1975, 2655, 1863, 9957, 30767, 29245, 1829, 9957, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 37893, 2423, 18609, 4032, 2423, 23565, 7251, 11622, 3224, 7435, 11536, 16472, 9566, 1211, 3615, 14407, 30767, 29245, 1829, 9957, 5296, 10721, 5296, 10721, 8032, 3215, 12610, 8608, 3224, 1211, 9307, 10874, 28259, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 6055, 4117, 10943, 1211], "avg_logprob": -0.19624999761581421, "compression_ratio": 1.8275862068965518, "no_speech_prob": 0.0, "words": [{"start": 644.13, "end": 644.63, "word": "بعد", "probability": 0.71630859375}, {"start": 644.63, "end": 644.99, "word": " هيك", "probability": 0.551025390625}, {"start": 644.99, "end": 645.65, "word": " ممكن", "probability": 0.8759765625}, {"start": 645.65, "end": 646.23, "word": " احولها", "probability": 0.808349609375}, {"start": 646.23, "end": 646.59, "word": " كلها", "probability": 0.905517578125}, {"start": 646.59, "end": 647.25, "word": " بدلالة", "probability": 0.9364013671875}, {"start": 647.25, "end": 647.77, "word": " التان", "probability": 0.747802734375}, {"start": 647.77, "end": 648.39, "word": " كما", "probability": 0.9443359375}, {"start": 648.39, "end": 648.87, "word": " عملنا", "probability": 0.927734375}, {"start": 648.87, "end": 648.99, "word": " في", "probability": 0.80712890625}, {"start": 648.99, "end": 649.79, "word": " السؤال", "probability": 0.9856770833333334}, {"start": 649.79, "end": 650.07, "word": " اللي", "probability": 0.780517578125}, {"start": 650.07, "end": 650.41, "word": " جابله", "probability": 0.9645182291666666}, {"start": 650.41, "end": 650.93, "word": " بالضبط", "probability": 0.963134765625}, {"start": 650.93, "end": 651.87, "word": " تماما", "probability": 0.98583984375}, {"start": 651.87, "end": 652.75, "word": " رغم", "probability": 0.8902994791666666}, {"start": 652.75, "end": 652.95, "word": " ان", "probability": 0.82275390625}, {"start": 652.95, "end": 653.45, "word": " الاسس", "probability": 0.3732096354166667}, {"start": 653.45, "end": 653.73, "word": " واحد", "probability": 0.96484375}, {"start": 653.73, "end": 654.11, "word": " زوجي", "probability": 0.9537760416666666}, {"start": 654.11, "end": 654.47, "word": " وواحد", "probability": 0.8033854166666666}, {"start": 654.47, "end": 654.99, "word": " فردي", "probability": 0.9602864583333334}, {"start": 654.99, "end": 655.53, "word": " لكن", "probability": 0.393798828125}, {"start": 655.53, "end": 655.97, "word": " اتنين", "probability": 0.94970703125}, {"start": 655.97, "end": 656.55, "word": " زوجيين", "probability": 0.9423828125}, {"start": 656.55, "end": 656.75, "word": " يبقى", "probability": 0.7314453125}, {"start": 656.75, "end": 657.01, "word": " هدول", "probability": 0.8974609375}, {"start": 657.01, "end": 657.27, "word": " مش", "probability": 0.98681640625}, {"start": 657.27, "end": 657.43, "word": " ال", "probability": 0.2252197265625}, {"start": 657.43, "end": 657.75, "word": " sine", "probability": 0.3447265625}, {"start": 657.75, "end": 657.91, "word": " و", "probability": 0.72509765625}, {"start": 657.91, "end": 658.01, "word": " ال", "probability": 0.4345703125}, {"start": 658.01, "end": 658.57, "word": " cosine", "probability": 0.8525390625}, {"start": 658.57, "end": 659.61, "word": " يزهجون", "probability": 0.90224609375}, {"start": 659.61, "end": 660.05, "word": " انطلعوا", "probability": 0.7740234375}, {"start": 660.05, "end": 660.77, "word": " زوجيين", "probability": 0.84722900390625}, {"start": 660.77, "end": 661.49, "word": " لأ", "probability": 0.6026611328125}, {"start": 661.49, "end": 661.69, "word": " لأ", "probability": 0.8935546875}, {"start": 661.69, "end": 661.95, "word": " هدول", "probability": 0.9615885416666666}, {"start": 661.95, "end": 662.47, "word": " سهلات", "probability": 0.925048828125}, {"start": 662.47, "end": 662.83, "word": " جدا", "probability": 0.9970703125}, {"start": 662.83, "end": 663.73, "word": " يبقى", "probability": 0.936279296875}, {"start": 663.73, "end": 663.99, "word": " هذا", "probability": 0.892578125}, {"start": 663.99, "end": 664.55, "word": " الكلام", "probability": 0.96630859375}, {"start": 664.55, "end": 664.95, "word": " بده", "probability": 0.651611328125}, {"start": 664.95, "end": 665.53, "word": " يساوي", "probability": 0.9630126953125}, {"start": 665.53, "end": 666.41, "word": " تكامل", "probability": 0.9774169921875}], "temperature": 1.0}, {"id": 31, "seek": 69299, "start": 666.95, "end": 692.99, "text": "هذه كلها مع هذه هاخدهم مع بعض بظلمين أن سك تربيع لي واحد زائد تام تربيع يبقى واحد زائد تام تربيع ال X في من؟ في تان أس أربعة X وهذه مع هذه لمشتقة من؟ مشتقة لتان ال X الشكل اللي عندنا هنا", "tokens": [3224, 24192, 28242, 11296, 20449, 29538, 8032, 47283, 3215, 16095, 20449, 45030, 11242, 4724, 19913, 19528, 9957, 14739, 8608, 4117, 6055, 2288, 21292, 3615, 32239, 36764, 24401, 30767, 16373, 3215, 6055, 10943, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 36764, 24401, 30767, 16373, 3215, 6055, 10943, 6055, 2288, 21292, 3615, 2423, 1783, 8978, 9154, 22807, 8978, 6055, 7649, 5551, 3794, 5551, 25513, 27884, 1783, 37037, 24192, 20449, 29538, 32767, 8592, 2655, 28671, 9154, 22807, 37893, 2655, 28671, 5296, 2655, 7649, 2423, 1783, 25124, 28820, 13672, 1829, 43242, 8315, 34105], "avg_logprob": -0.25978709315205667, "compression_ratio": 1.9698795180722892, "no_speech_prob": 0.0, "words": [{"start": 666.95, "end": 667.59, "word": "هذه", "probability": 0.640625}, {"start": 667.59, "end": 668.43, "word": " كلها", "probability": 0.76220703125}, {"start": 668.43, "end": 669.25, "word": " مع", "probability": 0.92138671875}, {"start": 669.25, "end": 669.75, "word": " هذه", "probability": 0.87109375}, {"start": 669.75, "end": 670.39, "word": " هاخدهم", "probability": 0.6212158203125}, {"start": 670.39, "end": 670.57, "word": " مع", "probability": 0.9775390625}, {"start": 670.57, "end": 670.89, "word": " بعض", "probability": 0.990478515625}, {"start": 670.89, "end": 672.03, "word": " بظلمين", "probability": 0.5467529296875}, {"start": 672.03, "end": 672.39, "word": " أن", "probability": 0.28125}, {"start": 672.39, "end": 673.55, "word": " سك", "probability": 0.4984130859375}, {"start": 673.55, "end": 674.39, "word": " تربيع", "probability": 0.87255859375}, {"start": 674.39, "end": 674.65, "word": " لي", "probability": 0.327392578125}, {"start": 674.65, "end": 675.21, "word": " واحد", "probability": 0.8955078125}, {"start": 675.21, "end": 675.77, "word": " زائد", "probability": 0.8821614583333334}, {"start": 675.77, "end": 676.05, "word": " تام", "probability": 0.63720703125}, {"start": 676.05, "end": 676.61, "word": " تربيع", "probability": 0.9300537109375}, {"start": 676.61, "end": 677.65, "word": " يبقى", "probability": 0.9609375}, {"start": 677.65, "end": 678.21, "word": " واحد", "probability": 0.98486328125}, {"start": 678.21, "end": 678.99, "word": " زائد", "probability": 0.9850260416666666}, {"start": 678.99, "end": 679.53, "word": " تام", "probability": 0.930908203125}, {"start": 679.53, "end": 680.83, "word": " تربيع", "probability": 0.9552001953125}, {"start": 680.83, "end": 681.05, "word": " ال", "probability": 0.58837890625}, {"start": 681.05, "end": 681.41, "word": " X", "probability": 0.572265625}, {"start": 681.41, "end": 682.11, "word": " في", "probability": 0.483154296875}, {"start": 682.11, "end": 682.61, "word": " من؟", "probability": 0.5107421875}, {"start": 682.61, "end": 682.85, "word": " في", "probability": 0.89501953125}, {"start": 682.85, "end": 683.63, "word": " تان", "probability": 0.864013671875}, {"start": 683.63, "end": 684.17, "word": " أس", "probability": 0.61669921875}, {"start": 684.17, "end": 685.09, "word": " أربعة", "probability": 0.7490234375}, {"start": 685.09, "end": 685.57, "word": " X", "probability": 0.95166015625}, {"start": 685.57, "end": 686.57, "word": " وهذه", "probability": 0.844970703125}, {"start": 686.57, "end": 686.83, "word": " مع", "probability": 0.97314453125}, {"start": 686.83, "end": 687.15, "word": " هذه", "probability": 0.8720703125}, {"start": 687.15, "end": 687.99, "word": " لمشتقة", "probability": 0.8798828125}, {"start": 687.99, "end": 688.93, "word": " من؟", "probability": 0.8857421875}, {"start": 688.93, "end": 690.01, "word": " مشتقة", "probability": 0.88916015625}, {"start": 690.01, "end": 691.11, "word": " لتان", "probability": 0.9016927083333334}, {"start": 691.11, "end": 691.37, "word": " ال", "probability": 0.8193359375}, {"start": 691.37, "end": 691.83, "word": " X", "probability": 0.986328125}, {"start": 691.83, "end": 692.41, "word": " الشكل", "probability": 0.6861572265625}, {"start": 692.41, "end": 692.57, "word": " اللي", "probability": 0.959716796875}, {"start": 692.57, "end": 692.83, "word": " عندنا", "probability": 0.746337890625}, {"start": 692.83, "end": 692.99, "word": " هنا", "probability": 0.81396484375}], "temperature": 1.0}, {"id": 32, "seek": 72085, "start": 693.71, "end": 720.85, "text": "إذن هذه لو جيت فكتها بدها صير تكامل لتان أس أربعة X زائد تان أس ستة X كل هذا الكلام بالنسبة لمشتقة تان ال X إذن انتهى السؤال على الشكل التالي أصبح عندي السؤال تكامل لسك أس أربعة", "tokens": [28814, 8848, 1863, 29538, 45164, 10874, 36081, 6156, 4117, 2655, 11296, 47525, 11296, 20328, 13546, 6055, 4117, 10943, 1211, 5296, 2655, 7649, 5551, 3794, 5551, 25513, 27884, 1783, 30767, 16373, 3215, 6055, 7649, 5551, 3794, 8608, 2655, 3660, 1783, 28242, 23758, 2423, 28820, 10943, 20666, 1863, 35457, 3660, 32767, 8592, 2655, 28671, 6055, 7649, 2423, 1783, 11933, 8848, 1863, 16472, 47395, 7578, 21136, 33604, 6027, 15844, 25124, 28820, 16712, 6027, 1829, 5551, 9381, 49628, 18871, 16254, 21136, 33604, 6027, 6055, 4117, 10943, 1211, 5296, 3794, 4117, 5551, 3794, 5551, 25513, 27884], "avg_logprob": -0.15336276720399442, "compression_ratio": 1.891566265060241, "no_speech_prob": 0.0, "words": [{"start": 693.71, "end": 694.33, "word": "إذن", "probability": 0.5380859375}, {"start": 694.33, "end": 694.63, "word": " هذه", "probability": 0.52880859375}, {"start": 694.63, "end": 694.83, "word": " لو", "probability": 0.81103515625}, {"start": 694.83, "end": 695.15, "word": " جيت", "probability": 0.92138671875}, {"start": 695.15, "end": 695.97, "word": " فكتها", "probability": 0.8353271484375}, {"start": 695.97, "end": 696.43, "word": " بدها", "probability": 0.803955078125}, {"start": 696.43, "end": 696.83, "word": " صير", "probability": 0.6510009765625}, {"start": 696.83, "end": 697.83, "word": " تكامل", "probability": 0.9859619140625}, {"start": 697.83, "end": 699.37, "word": " لتان", "probability": 0.8297526041666666}, {"start": 699.37, "end": 699.91, "word": " أس", "probability": 0.5865478515625}, {"start": 699.91, "end": 700.85, "word": " أربعة", "probability": 0.828125}, {"start": 700.85, "end": 701.27, "word": " X", "probability": 0.493896484375}, {"start": 701.27, "end": 702.45, "word": " زائد", "probability": 0.8759765625}, {"start": 702.45, "end": 703.29, "word": " تان", "probability": 0.982421875}, {"start": 703.29, "end": 704.05, "word": " أس", "probability": 0.9521484375}, {"start": 704.05, "end": 704.85, "word": " ستة", "probability": 0.9772135416666666}, {"start": 704.85, "end": 705.27, "word": " X", "probability": 0.98095703125}, {"start": 705.27, "end": 705.91, "word": " كل", "probability": 0.8427734375}, {"start": 705.91, "end": 706.29, "word": " هذا", "probability": 0.93896484375}, {"start": 706.29, "end": 707.03, "word": " الكلام", "probability": 0.966796875}, {"start": 707.03, "end": 708.05, "word": " بالنسبة", "probability": 0.9910888671875}, {"start": 708.05, "end": 709.23, "word": " لمشتقة", "probability": 0.902099609375}, {"start": 709.23, "end": 710.45, "word": " تان", "probability": 0.97265625}, {"start": 710.45, "end": 710.67, "word": " ال", "probability": 0.75830078125}, {"start": 710.67, "end": 711.21, "word": " X", "probability": 0.94970703125}, {"start": 711.21, "end": 713.13, "word": " إذن", "probability": 0.8455403645833334}, {"start": 713.13, "end": 713.57, "word": " انتهى", "probability": 0.7825520833333334}, {"start": 713.57, "end": 714.03, "word": " السؤال", "probability": 0.9908854166666666}, {"start": 714.03, "end": 714.25, "word": " على", "probability": 0.86865234375}, {"start": 714.25, "end": 714.81, "word": " الشكل", "probability": 0.979736328125}, {"start": 714.81, "end": 715.69, "word": " التالي", "probability": 0.9866536458333334}, {"start": 715.69, "end": 716.61, "word": " أصبح", "probability": 0.9210611979166666}, {"start": 716.61, "end": 716.97, "word": " عندي", "probability": 0.866455078125}, {"start": 716.97, "end": 717.59, "word": " السؤال", "probability": 0.92138671875}, {"start": 717.59, "end": 718.53, "word": " تكامل", "probability": 0.9830322265625}, {"start": 718.53, "end": 719.65, "word": " لسك", "probability": 0.7884928385416666}, {"start": 719.65, "end": 720.11, "word": " أس", "probability": 0.96435546875}, {"start": 720.11, "end": 720.85, "word": " أربعة", "probability": 0.9513346354166666}], "temperature": 1.0}, {"id": 33, "seek": 74618, "start": 723.08, "end": 746.18, "text": "لسك اص اربعة اكس تان اص اربعة اكس دي اكس بده يساوي خمس تان اص خمسة اكس زائد سبعة تان اص سبعة اكس زائد كلصة C", "tokens": [1211, 3794, 4117, 1975, 9381, 1975, 25513, 27884, 1975, 4117, 3794, 6055, 7649, 1975, 9381, 1975, 25513, 27884, 1975, 4117, 3794, 11778, 1829, 1975, 4117, 3794, 47525, 3224, 7251, 3794, 995, 45865, 16490, 2304, 3794, 6055, 7649, 1975, 9381, 16490, 2304, 3794, 3660, 1975, 4117, 3794, 30767, 16373, 3215, 8608, 3555, 27884, 6055, 7649, 1975, 9381, 8608, 3555, 27884, 1975, 4117, 3794, 30767, 16373, 3215, 28242, 9381, 3660, 383], "avg_logprob": -0.22968749297516686, "compression_ratio": 1.958762886597938, "no_speech_prob": 0.0, "words": [{"start": 723.08, "end": 723.72, "word": "لسك", "probability": 0.56011962890625}, {"start": 723.72, "end": 724.1, "word": " اص", "probability": 0.40130615234375}, {"start": 724.1, "end": 724.92, "word": " اربعة", "probability": 0.7833658854166666}, {"start": 724.92, "end": 725.42, "word": " اكس", "probability": 0.8346354166666666}, {"start": 725.42, "end": 726.12, "word": " تان", "probability": 0.8837890625}, {"start": 726.12, "end": 726.62, "word": " اص", "probability": 0.926025390625}, {"start": 726.62, "end": 727.42, "word": " اربعة", "probability": 0.9270833333333334}, {"start": 727.42, "end": 727.94, "word": " اكس", "probability": 0.9866536458333334}, {"start": 727.94, "end": 728.58, "word": " دي", "probability": 0.756103515625}, {"start": 728.58, "end": 729.06, "word": " اكس", "probability": 0.85791015625}, {"start": 729.06, "end": 729.56, "word": " بده", "probability": 0.88330078125}, {"start": 729.56, "end": 730.26, "word": " يساوي", "probability": 0.9842529296875}, {"start": 730.26, "end": 732.7, "word": " خمس", "probability": 0.8671875}, {"start": 732.7, "end": 735.24, "word": " تان", "probability": 0.89697265625}, {"start": 735.24, "end": 736.18, "word": " اص", "probability": 0.94921875}, {"start": 736.18, "end": 737.22, "word": " خمسة", "probability": 0.878662109375}, {"start": 737.22, "end": 737.88, "word": " اكس", "probability": 0.9755859375}, {"start": 737.88, "end": 739.1, "word": " زائد", "probability": 0.8411458333333334}, {"start": 739.1, "end": 740.72, "word": " سبعة", "probability": 0.800048828125}, {"start": 740.72, "end": 741.66, "word": " تان", "probability": 0.971923828125}, {"start": 741.66, "end": 742.48, "word": " اص", "probability": 0.95166015625}, {"start": 742.48, "end": 743.18, "word": " سبعة", "probability": 0.8603515625}, {"start": 743.18, "end": 743.94, "word": " اكس", "probability": 0.9783528645833334}, {"start": 743.94, "end": 744.88, "word": " زائد", "probability": 0.9715169270833334}, {"start": 744.88, "end": 745.7, "word": " كلصة", "probability": 0.5550944010416666}, {"start": 745.7, "end": 746.18, "word": " C", "probability": 0.2452392578125}], "temperature": 1.0}, {"id": 34, "seek": 77603, "start": 748.69, "end": 776.03, "text": "لحد هنا انتهينا من النقطة الثالثة من هذا ال section المرة اللى فاتت قلتلكوا هذا ال section مضى جسمه إلى أربع نقاط ابتدأنا حاصل ضرب الصين والكوسين كل واحدة مرفوعة لأس انتقلنا إلى حل في الجذور التربيعية المجتملة على دوا المثلثية انتقلنا إلى النقطة الثالثة اللى ابتدأنا فيها المرة اللى فاتت واكملناها الآن", "tokens": [1211, 24401, 34105, 16472, 47395, 1829, 8315, 9154, 28239, 47432, 3660, 6024, 104, 6027, 12984, 3660, 9154, 23758, 2423, 3541, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 12174, 1211, 2655, 23275, 14407, 23758, 2423, 3541, 3714, 11242, 7578, 10874, 38251, 3224, 30731, 5551, 25513, 3615, 8717, 4587, 41193, 48127, 2655, 3215, 10721, 8315, 11331, 33546, 1211, 48812, 25513, 31767, 9957, 16070, 4117, 41779, 9957, 28242, 36764, 24401, 3660, 3714, 28480, 2407, 27884, 5296, 10721, 3794, 16472, 2655, 4587, 1211, 8315, 30731, 11331, 1211, 8978, 25724, 8848, 13063, 16712, 2288, 21292, 3615, 10632, 9673, 7435, 39237, 37977, 15844, 11778, 14407, 9673, 12984, 1211, 12984, 10632, 16472, 2655, 4587, 1211, 8315, 30731, 28239, 47432, 3660, 6024, 104, 6027, 12984, 3660, 13672, 7578, 48127, 2655, 3215, 10721, 8315, 8978, 11296, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 36764, 24793, 1211, 8315, 11296, 6024, 48506], "avg_logprob": -0.14040493010215357, "compression_ratio": 2.1693548387096775, "no_speech_prob": 0.0, "words": [{"start": 748.69, "end": 749.25, "word": "لحد", "probability": 0.748291015625}, {"start": 749.25, "end": 749.71, "word": " هنا", "probability": 0.96630859375}, {"start": 749.71, "end": 750.79, "word": " انتهينا", "probability": 0.9344482421875}, {"start": 750.79, "end": 750.99, "word": " من", "probability": 0.9873046875}, {"start": 750.99, "end": 751.91, "word": " النقطة", "probability": 0.93896484375}, {"start": 751.91, "end": 752.73, "word": " الثالثة", "probability": 0.96005859375}, {"start": 752.73, "end": 752.91, "word": " من", "probability": 0.9521484375}, {"start": 752.91, "end": 753.23, "word": " هذا", "probability": 0.77392578125}, {"start": 753.23, "end": 753.37, "word": " ال", "probability": 0.70166015625}, {"start": 753.37, "end": 753.71, "word": " section", "probability": 0.5009765625}, {"start": 753.71, "end": 754.05, "word": " المرة", "probability": 0.849853515625}, {"start": 754.05, "end": 754.23, "word": " اللى", "probability": 0.689453125}, {"start": 754.23, "end": 754.75, "word": " فاتت", "probability": 0.9918619791666666}, {"start": 754.75, "end": 755.75, "word": " قلتلكوا", "probability": 0.8875}, {"start": 755.75, "end": 755.95, "word": " هذا", "probability": 0.93212890625}, {"start": 755.95, "end": 756.11, "word": " ال", "probability": 0.84814453125}, {"start": 756.11, "end": 756.37, "word": " section", "probability": 0.81103515625}, {"start": 756.37, "end": 756.73, "word": " مضى", "probability": 0.5738932291666666}, {"start": 756.73, "end": 757.17, "word": " جسمه", "probability": 0.9697265625}, {"start": 757.17, "end": 757.33, "word": " إلى", "probability": 0.386962890625}, {"start": 757.33, "end": 758.01, "word": " أربع", "probability": 0.7972005208333334}, {"start": 758.01, "end": 759.03, "word": " نقاط", "probability": 0.9697265625}, {"start": 759.03, "end": 760.11, "word": " ابتدأنا", "probability": 0.91171875}, {"start": 760.11, "end": 760.57, "word": " حاصل", "probability": 0.7356770833333334}, {"start": 760.57, "end": 760.85, "word": " ضرب", "probability": 0.9873046875}, {"start": 760.85, "end": 761.19, "word": " الصين", "probability": 0.7352294921875}, {"start": 761.19, "end": 761.79, "word": " والكوسين", "probability": 0.79541015625}, {"start": 761.79, "end": 761.99, "word": " كل", "probability": 0.97119140625}, {"start": 761.99, "end": 762.29, "word": " واحدة", "probability": 0.9817708333333334}, {"start": 762.29, "end": 762.71, "word": " مرفوعة", "probability": 0.9224853515625}, {"start": 762.71, "end": 763.21, "word": " لأس", "probability": 0.8429361979166666}, {"start": 763.21, "end": 764.43, "word": " انتقلنا", "probability": 0.974609375}, {"start": 764.43, "end": 764.69, "word": " إلى", "probability": 0.92724609375}, {"start": 764.69, "end": 765.21, "word": " حل", "probability": 0.724609375}, {"start": 765.21, "end": 765.49, "word": " في", "probability": 0.88037109375}, {"start": 765.49, "end": 766.35, "word": " الجذور", "probability": 0.9801432291666666}, {"start": 766.35, "end": 767.53, "word": " التربيعية", "probability": 0.84599609375}, {"start": 767.53, "end": 768.65, "word": " المجتملة", "probability": 0.9488525390625}, {"start": 768.65, "end": 768.91, "word": " على", "probability": 0.947265625}, {"start": 768.91, "end": 769.21, "word": " دوا", "probability": 0.6365966796875}, {"start": 769.21, "end": 770.33, "word": " المثلثية", "probability": 0.93994140625}, {"start": 770.33, "end": 771.41, "word": " انتقلنا", "probability": 0.98037109375}, {"start": 771.41, "end": 771.59, "word": " إلى", "probability": 0.87646484375}, {"start": 771.59, "end": 772.27, "word": " النقطة", "probability": 0.9816080729166666}, {"start": 772.27, "end": 772.91, "word": " الثالثة", "probability": 0.9833984375}, {"start": 772.91, "end": 773.01, "word": " اللى", "probability": 0.979736328125}, {"start": 773.01, "end": 773.49, "word": " ابتدأنا", "probability": 0.9544921875}, {"start": 773.49, "end": 773.77, "word": " فيها", "probability": 0.979736328125}, {"start": 773.77, "end": 774.15, "word": " المرة", "probability": 0.9775390625}, {"start": 774.15, "end": 774.31, "word": " اللى", "probability": 0.98876953125}, {"start": 774.31, "end": 774.67, "word": " فاتت", "probability": 0.9905598958333334}, {"start": 774.67, "end": 775.49, "word": " واكملناها", "probability": 0.856982421875}, {"start": 775.49, "end": 776.03, "word": " الآن", "probability": 0.8427734375}], "temperature": 1.0}, {"id": 35, "seek": 80208, "start": 776.18, "end": 802.08, "text": "وهي حاصل ضرب الاسس تبع الصين والكوصين ننتقل الى النقطة الأخيرة بس النقطة الأخيرة بتفرج عن النقاط التلاتة اللى فاتوا من وين الفرق بيجي؟ في النقاط التلاتة اللى فاتوا كله بقى يجون أن الصين X أو كوصين X أو سك X أو تاني X يعني الزاوية هي نفسها", "tokens": [2407, 3224, 1829, 11331, 33546, 1211, 48812, 25513, 2423, 32277, 3794, 6055, 3555, 3615, 31767, 9957, 16070, 4117, 2407, 9381, 9957, 8717, 29399, 4587, 1211, 2423, 7578, 28239, 47432, 3660, 16247, 9778, 48923, 4724, 3794, 28239, 47432, 3660, 16247, 9778, 48923, 39894, 5172, 47341, 18871, 28239, 4587, 41193, 16712, 1211, 9307, 3660, 13672, 7578, 6156, 9307, 14407, 9154, 4032, 9957, 27188, 2288, 4587, 4724, 1829, 7435, 1829, 22807, 8978, 28239, 4587, 41193, 16712, 1211, 9307, 3660, 13672, 7578, 6156, 9307, 14407, 28242, 3224, 4724, 4587, 7578, 7251, 7435, 11536, 14739, 31767, 9957, 1783, 34051, 9122, 2407, 9381, 9957, 1783, 34051, 8608, 4117, 1783, 34051, 6055, 7649, 1829, 1783, 37495, 22653, 6024, 110, 995, 2407, 10632, 39896, 8717, 36178, 11296], "avg_logprob": -0.22929686779777209, "compression_ratio": 2.1573604060913705, "no_speech_prob": 0.0, "words": [{"start": 776.18, "end": 776.8, "word": "وهي", "probability": 0.5752766927083334}, {"start": 776.8, "end": 777.34, "word": " حاصل", "probability": 0.8704427083333334}, {"start": 777.34, "end": 777.76, "word": " ضرب", "probability": 0.990966796875}, {"start": 777.76, "end": 778.54, "word": " الاسس", "probability": 0.5331624348958334}, {"start": 778.54, "end": 778.9, "word": " تبع", "probability": 0.7731119791666666}, {"start": 778.9, "end": 779.52, "word": " الصين", "probability": 0.58319091796875}, {"start": 779.52, "end": 780.74, "word": " والكوصين", "probability": 0.7455078125}, {"start": 780.74, "end": 781.76, "word": " ننتقل", "probability": 0.91552734375}, {"start": 781.76, "end": 781.96, "word": " الى", "probability": 0.704833984375}, {"start": 781.96, "end": 782.64, "word": " النقطة", "probability": 0.9036458333333334}, {"start": 782.64, "end": 783.54, "word": " الأخيرة", "probability": 0.869140625}, {"start": 783.54, "end": 783.9, "word": " بس", "probability": 0.806640625}, {"start": 783.9, "end": 784.4, "word": " النقطة", "probability": 0.93212890625}, {"start": 784.4, "end": 784.78, "word": " الأخيرة", "probability": 0.8377278645833334}, {"start": 784.78, "end": 785.28, "word": " بتفرج", "probability": 0.9251302083333334}, {"start": 785.28, "end": 785.52, "word": " عن", "probability": 0.92041015625}, {"start": 785.52, "end": 786.16, "word": " النقاط", "probability": 0.9376627604166666}, {"start": 786.16, "end": 786.94, "word": " التلاتة", "probability": 0.9573974609375}, {"start": 786.94, "end": 787.1, "word": " اللى", "probability": 0.753662109375}, {"start": 787.1, "end": 787.6, "word": " فاتوا", "probability": 0.9464518229166666}, {"start": 787.6, "end": 788.46, "word": " من", "probability": 0.8076171875}, {"start": 788.46, "end": 788.74, "word": " وين", "probability": 0.866943359375}, {"start": 788.74, "end": 789.16, "word": " الفرق", "probability": 0.8216145833333334}, {"start": 789.16, "end": 790.36, "word": " بيجي؟", "probability": 0.81669921875}, {"start": 790.36, "end": 790.46, "word": " في", "probability": 0.365966796875}, {"start": 790.46, "end": 791.3, "word": " النقاط", "probability": 0.9627278645833334}, {"start": 791.3, "end": 791.98, "word": " التلاتة", "probability": 0.9775390625}, {"start": 791.98, "end": 792.14, "word": " اللى", "probability": 0.953125}, {"start": 792.14, "end": 792.54, "word": " فاتوا", "probability": 0.98828125}, {"start": 792.54, "end": 793.1, "word": " كله", "probability": 0.64892578125}, {"start": 793.1, "end": 793.34, "word": " بقى", "probability": 0.8972981770833334}, {"start": 793.34, "end": 793.76, "word": " يجون", "probability": 0.6516927083333334}, {"start": 793.76, "end": 794.04, "word": " أن", "probability": 0.2498779296875}, {"start": 794.04, "end": 794.68, "word": " الصين", "probability": 0.824462890625}, {"start": 794.68, "end": 795.12, "word": " X", "probability": 0.56103515625}, {"start": 795.12, "end": 795.5, "word": " أو", "probability": 0.85546875}, {"start": 795.5, "end": 796.22, "word": " كوصين", "probability": 0.810546875}, {"start": 796.22, "end": 796.64, "word": " X", "probability": 0.986328125}, {"start": 796.64, "end": 797.24, "word": " أو", "probability": 0.81787109375}, {"start": 797.24, "end": 797.64, "word": " سك", "probability": 0.6572265625}, {"start": 797.64, "end": 798.08, "word": " X", "probability": 0.97998046875}, {"start": 798.08, "end": 798.9, "word": " أو", "probability": 0.787109375}, {"start": 798.9, "end": 799.64, "word": " تاني", "probability": 0.85693359375}, {"start": 799.64, "end": 799.98, "word": " X", "probability": 0.68701171875}, {"start": 799.98, "end": 800.68, "word": " يعني", "probability": 0.813720703125}, {"start": 800.68, "end": 801.24, "word": " الزاوية", "probability": 0.88583984375}, {"start": 801.24, "end": 801.48, "word": " هي", "probability": 0.77490234375}, {"start": 801.48, "end": 802.08, "word": " نفسها", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 36, "seek": 82033, "start": 802.29, "end": 820.33, "text": "لكن لو جينا للصين مثلا تلاتة اكس مضروبة في صين خمسة اكس، اذا اختلفت الزوايا، تمام؟ لو كان مثلا cosine اتنين اكس في صين ستة اكس، يبقى الزوايا اختلفوا", "tokens": [1211, 19452, 45164, 10874, 1829, 8315, 24976, 9381, 9957, 50113, 15040, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 3714, 11242, 32887, 49401, 8978, 20328, 9957, 16490, 2304, 3794, 3660, 1975, 4117, 3794, 12399, 1975, 15730, 1975, 46456, 46538, 2655, 6024, 110, 14407, 25528, 12399, 46811, 10943, 22807, 45164, 25961, 50113, 15040, 23565, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 8978, 20328, 9957, 8608, 2655, 3660, 1975, 4117, 3794, 12399, 7251, 3555, 4587, 7578, 6024, 110, 14407, 25528, 1975, 46456, 46538, 14407], "avg_logprob": -0.21703506224766012, "compression_ratio": 1.7702702702702702, "no_speech_prob": 0.0, "words": [{"start": 802.29, "end": 802.65, "word": "لكن", "probability": 0.583740234375}, {"start": 802.65, "end": 802.85, "word": " لو", "probability": 0.7138671875}, {"start": 802.85, "end": 803.13, "word": " جينا", "probability": 0.9298502604166666}, {"start": 803.13, "end": 804.01, "word": " للصين", "probability": 0.58795166015625}, {"start": 804.01, "end": 804.81, "word": " مثلا", "probability": 0.967041015625}, {"start": 804.81, "end": 805.63, "word": " تلاتة", "probability": 0.8997802734375}, {"start": 805.63, "end": 806.17, "word": " اكس", "probability": 0.7674153645833334}, {"start": 806.17, "end": 807.85, "word": " مضروبة", "probability": 0.863525390625}, {"start": 807.85, "end": 808.09, "word": " في", "probability": 0.93994140625}, {"start": 808.09, "end": 808.47, "word": " صين", "probability": 0.898681640625}, {"start": 808.47, "end": 809.15, "word": " خمسة", "probability": 0.85791015625}, {"start": 809.15, "end": 809.85, "word": " اكس،", "probability": 0.8175048828125}, {"start": 809.85, "end": 810.41, "word": " اذا", "probability": 0.61572265625}, {"start": 810.41, "end": 811.17, "word": " اختلفت", "probability": 0.9508056640625}, {"start": 811.17, "end": 812.39, "word": " الزوايا،", "probability": 0.76083984375}, {"start": 812.39, "end": 813.41, "word": " تمام؟", "probability": 0.78369140625}, {"start": 813.41, "end": 813.65, "word": " لو", "probability": 0.92578125}, {"start": 813.65, "end": 813.97, "word": " كان", "probability": 0.99462890625}, {"start": 813.97, "end": 814.41, "word": " مثلا", "probability": 0.98291015625}, {"start": 814.41, "end": 815.41, "word": " cosine", "probability": 0.2880859375}, {"start": 815.41, "end": 816.17, "word": " اتنين", "probability": 0.931640625}, {"start": 816.17, "end": 816.75, "word": " اكس", "probability": 0.9625651041666666}, {"start": 816.75, "end": 816.95, "word": " في", "probability": 0.98291015625}, {"start": 816.95, "end": 817.71, "word": " صين", "probability": 0.906005859375}, {"start": 817.71, "end": 818.27, "word": " ستة", "probability": 0.9597981770833334}, {"start": 818.27, "end": 818.93, "word": " اكس،", "probability": 0.9400634765625}, {"start": 818.93, "end": 819.27, "word": " يبقى", "probability": 0.9635009765625}, {"start": 819.27, "end": 819.71, "word": " الزوايا", "probability": 0.981201171875}, {"start": 819.71, "end": 820.33, "word": " اختلفوا", "probability": 0.9127197265625}], "temperature": 1.0}, {"id": 37, "seek": 83956, "start": 821.34, "end": 839.56, "text": "نرجع بالذاكرة إلى الوراء للصف العاشر و كذلك الصف الحادي عشر كان معاكم موضوع اسمه تحويل حاصل ضرب جاي باي أو جاي باي تمام إلى جمع و بالعكس", "tokens": [1863, 47341, 3615, 20666, 15730, 4117, 25720, 30731, 2423, 13063, 16606, 24976, 9381, 5172, 18863, 33599, 2288, 4032, 9122, 8848, 23275, 31767, 5172, 21542, 995, 16254, 6225, 46309, 25961, 20449, 995, 24793, 3714, 2407, 11242, 45367, 24525, 2304, 3224, 6055, 5016, 2407, 26895, 11331, 33546, 1211, 48812, 25513, 10874, 47302, 4724, 47302, 34051, 10874, 47302, 4724, 47302, 46811, 10943, 30731, 10874, 2304, 3615, 4032, 20666, 3615, 4117, 3794], "avg_logprob": -0.14141757332760355, "compression_ratio": 1.6333333333333333, "no_speech_prob": 0.0, "words": [{"start": 821.34, "end": 821.96, "word": "نرجع", "probability": 0.91259765625}, {"start": 821.96, "end": 822.72, "word": " بالذاكرة", "probability": 0.8878173828125}, {"start": 822.72, "end": 823.0, "word": " إلى", "probability": 0.587890625}, {"start": 823.0, "end": 823.78, "word": " الوراء", "probability": 0.7986653645833334}, {"start": 823.78, "end": 824.64, "word": " للصف", "probability": 0.9597981770833334}, {"start": 824.64, "end": 825.84, "word": " العاشر", "probability": 0.9705403645833334}, {"start": 825.84, "end": 826.36, "word": " و", "probability": 0.92138671875}, {"start": 826.36, "end": 826.82, "word": " كذلك", "probability": 0.85546875}, {"start": 826.82, "end": 827.3, "word": " الصف", "probability": 0.983642578125}, {"start": 827.3, "end": 827.96, "word": " الحادي", "probability": 0.7879231770833334}, {"start": 827.96, "end": 828.62, "word": " عشر", "probability": 0.97900390625}, {"start": 828.62, "end": 829.68, "word": " كان", "probability": 0.8837890625}, {"start": 829.68, "end": 830.22, "word": " معاكم", "probability": 0.9755859375}, {"start": 830.22, "end": 831.08, "word": " موضوع", "probability": 0.9971923828125}, {"start": 831.08, "end": 832.16, "word": " اسمه", "probability": 0.9549153645833334}, {"start": 832.16, "end": 833.18, "word": " تحويل", "probability": 0.957275390625}, {"start": 833.18, "end": 834.26, "word": " حاصل", "probability": 0.95068359375}, {"start": 834.26, "end": 834.82, "word": " ضرب", "probability": 0.993896484375}, {"start": 834.82, "end": 835.72, "word": " جاي", "probability": 0.51727294921875}, {"start": 835.72, "end": 836.08, "word": " باي", "probability": 0.63720703125}, {"start": 836.08, "end": 836.42, "word": " أو", "probability": 0.5654296875}, {"start": 836.42, "end": 836.8, "word": " جاي", "probability": 0.963623046875}, {"start": 836.8, "end": 837.08, "word": " باي", "probability": 0.89306640625}, {"start": 837.08, "end": 837.88, "word": " تمام", "probability": 0.9951171875}, {"start": 837.88, "end": 838.22, "word": " إلى", "probability": 0.85400390625}, {"start": 838.22, "end": 838.58, "word": " جمع", "probability": 0.8502604166666666}, {"start": 838.58, "end": 838.76, "word": " و", "probability": 0.435302734375}, {"start": 838.76, "end": 839.56, "word": " بالعكس", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 38, "seek": 86533, "start": 840.15, "end": 865.33, "text": "هي كان معاكم بالموضوع بالشكل هذا على أي حال بدنا منه القواعد التلاتة فقط اللي أخدتوها هنحطها قدامكوا وبعد هيك نبدأ نشتغل عليها يبدأ النقطة الرابعة هنحطها على الشكل التالي نمرة أربعة اللي هو ال integral", "tokens": [3224, 1829, 25961, 20449, 995, 24793, 20666, 2304, 2407, 11242, 45367, 20666, 8592, 28820, 23758, 15844, 36632, 11331, 6027, 47525, 8315, 9154, 3224, 25062, 14407, 22488, 16712, 1211, 9307, 3660, 6156, 47432, 13672, 1829, 5551, 9778, 3215, 2655, 2407, 11296, 8032, 1863, 5016, 9566, 11296, 12174, 3215, 10943, 4117, 14407, 46599, 22488, 39896, 4117, 8717, 44510, 10721, 8717, 8592, 2655, 17082, 1211, 25894, 11296, 7251, 44510, 10721, 28239, 47432, 3660, 34892, 16758, 27884, 8032, 1863, 5016, 9566, 11296, 15844, 25124, 28820, 16712, 6027, 1829, 8717, 2304, 25720, 5551, 25513, 27884, 13672, 1829, 31439, 2423, 11573], "avg_logprob": -0.19563802362730107, "compression_ratio": 1.7342995169082125, "no_speech_prob": 0.0, "words": [{"start": 840.15, "end": 840.43, "word": "هي", "probability": 0.2429046630859375}, {"start": 840.43, "end": 840.67, "word": " كان", "probability": 0.98486328125}, {"start": 840.67, "end": 841.09, "word": " معاكم", "probability": 0.9117838541666666}, {"start": 841.09, "end": 841.59, "word": " بالموضوع", "probability": 0.851904296875}, {"start": 841.59, "end": 842.11, "word": " بالشكل", "probability": 0.7406005859375}, {"start": 842.11, "end": 842.39, "word": " هذا", "probability": 0.966796875}, {"start": 842.39, "end": 843.05, "word": " على", "probability": 0.73486328125}, {"start": 843.05, "end": 843.29, "word": " أي", "probability": 0.54931640625}, {"start": 843.29, "end": 843.77, "word": " حال", "probability": 0.997314453125}, {"start": 843.77, "end": 845.89, "word": " بدنا", "probability": 0.60675048828125}, {"start": 845.89, "end": 846.27, "word": " منه", "probability": 0.888671875}, {"start": 846.27, "end": 847.13, "word": " القواعد", "probability": 0.958984375}, {"start": 847.13, "end": 847.93, "word": " التلاتة", "probability": 0.8760986328125}, {"start": 847.93, "end": 848.47, "word": " فقط", "probability": 0.981689453125}, {"start": 848.47, "end": 848.75, "word": " اللي", "probability": 0.83984375}, {"start": 848.75, "end": 849.51, "word": " أخدتوها", "probability": 0.8612467447916666}, {"start": 849.51, "end": 850.59, "word": " هنحطها", "probability": 0.92548828125}, {"start": 850.59, "end": 851.51, "word": " قدامكوا", "probability": 0.87861328125}, {"start": 851.51, "end": 852.27, "word": " وبعد", "probability": 0.77685546875}, {"start": 852.27, "end": 852.73, "word": " هيك", "probability": 0.885986328125}, {"start": 852.73, "end": 853.39, "word": " نبدأ", "probability": 0.9573567708333334}, {"start": 853.39, "end": 854.19, "word": " نشتغل", "probability": 0.99697265625}, {"start": 854.19, "end": 854.85, "word": " عليها", "probability": 0.989990234375}, {"start": 854.85, "end": 855.59, "word": " يبدأ", "probability": 0.90234375}, {"start": 855.59, "end": 856.19, "word": " النقطة", "probability": 0.9150390625}, {"start": 856.19, "end": 856.73, "word": " الرابعة", "probability": 0.9261067708333334}, {"start": 856.73, "end": 857.51, "word": " هنحطها", "probability": 0.96708984375}, {"start": 857.51, "end": 857.71, "word": " على", "probability": 0.88720703125}, {"start": 857.71, "end": 858.23, "word": " الشكل", "probability": 0.982177734375}, {"start": 858.23, "end": 858.81, "word": " التالي", "probability": 0.9873046875}, {"start": 858.81, "end": 859.33, "word": " نمرة", "probability": 0.6681315104166666}, {"start": 859.33, "end": 861.41, "word": " أربعة", "probability": 0.8771158854166666}, {"start": 861.41, "end": 862.23, "word": " اللي", "probability": 0.95751953125}, {"start": 862.23, "end": 862.35, "word": " هو", "probability": 0.9794921875}, {"start": 862.35, "end": 862.51, "word": " ال", "probability": 0.97314453125}, {"start": 862.51, "end": 865.33, "word": " integral", "probability": 0.197265625}], "temperature": 1.0}, {"id": 39, "seek": 89389, "start": 867.43, "end": 893.89, "text": "integrals of products of sines and cosines we use the following", "tokens": [686, 1146, 424, 11784, 295, 3383, 295, 262, 1652, 293, 3792, 1652, 321, 764, 264, 3480], "avg_logprob": -0.46530330882352944, "compression_ratio": 1.05, "no_speech_prob": 0.0, "words": [{"start": 867.4300000000001, "end": 868.83, "word": "integrals", "probability": 0.6389732360839844}, {"start": 868.83, "end": 870.23, "word": " of", "probability": 0.97314453125}, {"start": 870.23, "end": 872.73, "word": " products", "probability": 0.640625}, {"start": 872.73, "end": 876.95, "word": " of", "probability": 0.814453125}, {"start": 876.95, "end": 879.27, "word": " sines", "probability": 0.62841796875}, {"start": 879.27, "end": 880.85, "word": " and", "probability": 0.96484375}, {"start": 880.85, "end": 883.19, "word": " cosines", "probability": 0.940185546875}, {"start": 883.19, "end": 887.49, "word": " we", "probability": 0.5263671875}, {"start": 887.49, "end": 888.27, "word": " use", "probability": 0.9111328125}, {"start": 888.27, "end": 892.17, "word": " the", "probability": 0.77587890625}, {"start": 892.17, "end": 893.89, "word": " following", "probability": 0.88330078125}], "temperature": 1.0}, {"id": 40, "seek": 92552, "start": 901.56, "end": 925.52, "text": "لو مر علينا حصل ضرب sin وcos بزوايا مختلفة إذا بدنا نروح على استخدام القواعد التالية اللي درسناها في المرحلة الثانوية النقطة الأولى لو كان sin MX في cosNX", "tokens": [1211, 2407, 3714, 2288, 25894, 8315, 11331, 9381, 1211, 48812, 25513, 3343, 4032, 6877, 4724, 11622, 14407, 25528, 3714, 46456, 46538, 3660, 11933, 15730, 47525, 8315, 8717, 32887, 5016, 15844, 44713, 9778, 3215, 10943, 25062, 14407, 22488, 16712, 6027, 10632, 13672, 1829, 11778, 2288, 3794, 8315, 11296, 8978, 9673, 2288, 5016, 37977, 6024, 104, 7649, 2407, 10632, 28239, 47432, 3660, 16247, 12610, 7578, 45164, 25961, 3343, 47509, 8978, 3792, 45, 55], "avg_logprob": -0.18066406519048744, "compression_ratio": 1.543859649122807, "no_speech_prob": 0.0, "words": [{"start": 901.56, "end": 902.8, "word": "لو", "probability": 0.5443115234375}, {"start": 902.8, "end": 903.04, "word": " مر", "probability": 0.819580078125}, {"start": 903.04, "end": 903.5, "word": " علينا", "probability": 0.9677734375}, {"start": 903.5, "end": 904.1, "word": " حصل", "probability": 0.7041015625}, {"start": 904.1, "end": 904.44, "word": " ضرب", "probability": 0.975830078125}, {"start": 904.44, "end": 905.0, "word": " sin", "probability": 0.31103515625}, {"start": 905.0, "end": 905.66, "word": " وcos", "probability": 0.73583984375}, {"start": 905.66, "end": 907.5, "word": " بزوايا", "probability": 0.876708984375}, {"start": 907.5, "end": 908.88, "word": " مختلفة", "probability": 0.9906005859375}, {"start": 908.88, "end": 909.38, "word": " إذا", "probability": 0.601318359375}, {"start": 909.38, "end": 909.82, "word": " بدنا", "probability": 0.82861328125}, {"start": 909.82, "end": 910.28, "word": " نروح", "probability": 0.8943684895833334}, {"start": 910.28, "end": 910.76, "word": " على", "probability": 0.84912109375}, {"start": 910.76, "end": 911.66, "word": " استخدام", "probability": 0.90283203125}, {"start": 911.66, "end": 912.42, "word": " القواعد", "probability": 0.96875}, {"start": 912.42, "end": 913.1, "word": " التالية", "probability": 0.9925130208333334}, {"start": 913.1, "end": 913.72, "word": " اللي", "probability": 0.728271484375}, {"start": 913.72, "end": 914.38, "word": " درسناها", "probability": 0.91357421875}, {"start": 914.38, "end": 914.5, "word": " في", "probability": 0.962890625}, {"start": 914.5, "end": 915.12, "word": " المرحلة", "probability": 0.9898681640625}, {"start": 915.12, "end": 916.28, "word": " الثانوية", "probability": 0.97177734375}, {"start": 916.28, "end": 917.4, "word": " النقطة", "probability": 0.9781901041666666}, {"start": 917.4, "end": 917.76, "word": " الأولى", "probability": 0.9495442708333334}, {"start": 917.76, "end": 918.08, "word": " لو", "probability": 0.9189453125}, {"start": 918.08, "end": 918.6, "word": " كان", "probability": 0.99267578125}, {"start": 918.6, "end": 919.52, "word": " sin", "probability": 0.85107421875}, {"start": 919.52, "end": 921.5, "word": " MX", "probability": 0.1719970703125}, {"start": 921.5, "end": 922.48, "word": " في", "probability": 0.8115234375}, {"start": 922.48, "end": 925.52, "word": " cosNX", "probability": 0.8548177083333334}], "temperature": 1.0}, {"id": 41, "seek": 95587, "start": 926.13, "end": 955.87, "text": "زوايا ال M و ال N ممكن تكون كثرة و ممكن تكون عدد صحية ليس بالضرورة ان تكون عدد صحية انولا ما ممكن كثرة او عدد صحية يبقى هذا الكلام بده يساوي نص في مين في sign M ناقص N في X زائد sign M زائد N كله في X النقطة الثانية", "tokens": [11622, 14407, 25528, 2423, 376, 4032, 2423, 426, 3714, 43020, 6055, 30544, 9122, 12984, 25720, 4032, 3714, 43020, 6055, 30544, 6225, 3215, 3215, 20328, 5016, 10632, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 16472, 6055, 30544, 6225, 3215, 3215, 20328, 5016, 10632, 16472, 12610, 995, 19446, 3714, 43020, 9122, 12984, 25720, 1975, 2407, 6225, 3215, 3215, 20328, 5016, 10632, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 8717, 9381, 8978, 3714, 9957, 8978, 1465, 376, 8717, 995, 4587, 9381, 426, 8978, 1783, 30767, 16373, 3215, 1465, 376, 30767, 16373, 3215, 426, 28242, 3224, 8978, 1783, 28239, 47432, 3660, 6024, 104, 7649, 10632], "avg_logprob": -0.21014907819415451, "compression_ratio": 1.9308510638297873, "no_speech_prob": 0.038421630859375, "words": [{"start": 926.13, "end": 926.93, "word": "زوايا", "probability": 0.5933430989583334}, {"start": 926.93, "end": 927.15, "word": " ال", "probability": 0.61474609375}, {"start": 927.15, "end": 927.43, "word": " M", "probability": 0.479736328125}, {"start": 927.43, "end": 927.69, "word": " و", "probability": 0.623046875}, {"start": 927.69, "end": 927.81, "word": " ال", "probability": 0.69970703125}, {"start": 927.81, "end": 928.15, "word": " N", "probability": 0.9560546875}, {"start": 928.15, "end": 928.85, "word": " ممكن", "probability": 0.9111328125}, {"start": 928.85, "end": 929.25, "word": " تكون", "probability": 0.981689453125}, {"start": 929.25, "end": 929.69, "word": " كثرة", "probability": 0.583251953125}, {"start": 929.69, "end": 929.77, "word": " و", "probability": 0.88037109375}, {"start": 929.77, "end": 930.05, "word": " ممكن", "probability": 0.783203125}, {"start": 930.05, "end": 930.47, "word": " تكون", "probability": 0.98095703125}, {"start": 930.47, "end": 931.05, "word": " عدد", "probability": 0.96875}, {"start": 931.05, "end": 931.95, "word": " صحية", "probability": 0.9287109375}, {"start": 931.95, "end": 932.67, "word": " ليس", "probability": 0.84423828125}, {"start": 932.67, "end": 933.31, "word": " بالضرورة", "probability": 0.908203125}, {"start": 933.31, "end": 933.45, "word": " ان", "probability": 0.5048828125}, {"start": 933.45, "end": 933.77, "word": " تكون", "probability": 0.97509765625}, {"start": 933.77, "end": 934.07, "word": " عدد", "probability": 0.9900716145833334}, {"start": 934.07, "end": 934.43, "word": " صحية", "probability": 0.8450520833333334}, {"start": 934.43, "end": 934.81, "word": " انولا", "probability": 0.3670247395833333}, {"start": 934.81, "end": 934.97, "word": " ما", "probability": 0.77783203125}, {"start": 934.97, "end": 935.47, "word": " ممكن", "probability": 0.881103515625}, {"start": 935.47, "end": 936.35, "word": " كثرة", "probability": 0.8287760416666666}, {"start": 936.35, "end": 936.71, "word": " او", "probability": 0.94091796875}, {"start": 936.71, "end": 937.11, "word": " عدد", "probability": 0.9864908854166666}, {"start": 937.11, "end": 937.65, "word": " صحية", "probability": 0.9832356770833334}, {"start": 937.65, "end": 938.43, "word": " يبقى", "probability": 0.841552734375}, {"start": 938.43, "end": 938.67, "word": " هذا", "probability": 0.9013671875}, {"start": 938.67, "end": 939.21, "word": " الكلام", "probability": 0.9749348958333334}, {"start": 939.21, "end": 939.63, "word": " بده", "probability": 0.4483642578125}, {"start": 939.63, "end": 940.29, "word": " يساوي", "probability": 0.9539794921875}, {"start": 940.29, "end": 940.85, "word": " نص", "probability": 0.984619140625}, {"start": 940.85, "end": 941.41, "word": " في", "probability": 0.446044921875}, {"start": 941.41, "end": 941.83, "word": " مين", "probability": 0.83056640625}, {"start": 941.83, "end": 942.47, "word": " في", "probability": 0.6767578125}, {"start": 942.47, "end": 943.23, "word": " sign", "probability": 0.26953125}, {"start": 943.23, "end": 943.91, "word": " M", "probability": 0.8974609375}, {"start": 943.91, "end": 945.37, "word": " ناقص", "probability": 0.8619384765625}, {"start": 945.37, "end": 945.85, "word": " N", "probability": 0.9013671875}, {"start": 945.85, "end": 946.21, "word": " في", "probability": 0.95556640625}, {"start": 946.21, "end": 946.67, "word": " X", "probability": 0.93603515625}, {"start": 946.67, "end": 948.15, "word": " زائد", "probability": 0.8048502604166666}, {"start": 948.15, "end": 949.33, "word": " sign", "probability": 0.7275390625}, {"start": 949.33, "end": 950.49, "word": " M", "probability": 0.986328125}, {"start": 950.49, "end": 951.69, "word": " زائد", "probability": 0.96337890625}, {"start": 951.69, "end": 952.27, "word": " N", "probability": 0.9736328125}, {"start": 952.27, "end": 953.19, "word": " كله", "probability": 0.960693359375}, {"start": 953.19, "end": 953.37, "word": " في", "probability": 0.99072265625}, {"start": 953.37, "end": 953.73, "word": " X", "probability": 0.9423828125}, {"start": 953.73, "end": 955.19, "word": " النقطة", "probability": 0.9723307291666666}, {"start": 955.19, "end": 955.87, "word": " الثانية", "probability": 0.954345703125}], "temperature": 1.0}, {"id": 42, "seek": 97266, "start": 956.22, "end": 972.66, "text": "أخدت كمان sin mx في sin nx يساوي نصف cosine الفارق ناقص cosine المجموع", "tokens": [10721, 9778, 3215, 2655, 9122, 2304, 7649, 3343, 275, 87, 8978, 3343, 297, 87, 7251, 3794, 995, 45865, 8717, 9381, 5172, 23565, 27188, 9640, 4587, 8717, 995, 4587, 9381, 23565, 9673, 7435, 2304, 45367], "avg_logprob": -0.18727677975382123, "compression_ratio": 1.141304347826087, "no_speech_prob": 0.0, "words": [{"start": 956.22, "end": 957.32, "word": "أخدت", "probability": 0.8328857421875}, {"start": 957.32, "end": 958.0, "word": " كمان", "probability": 0.9060872395833334}, {"start": 958.0, "end": 958.8, "word": " sin", "probability": 0.496337890625}, {"start": 958.8, "end": 960.52, "word": " mx", "probability": 0.5833740234375}, {"start": 960.52, "end": 960.82, "word": " في", "probability": 0.7333984375}, {"start": 960.82, "end": 961.86, "word": " sin", "probability": 0.96630859375}, {"start": 961.86, "end": 963.68, "word": " nx", "probability": 0.9267578125}, {"start": 963.68, "end": 965.08, "word": " يساوي", "probability": 0.91650390625}, {"start": 965.08, "end": 966.04, "word": " نصف", "probability": 0.7716471354166666}, {"start": 966.04, "end": 966.64, "word": " cosine", "probability": 0.4384765625}, {"start": 966.64, "end": 967.92, "word": " الفارق", "probability": 0.9466145833333334}, {"start": 967.92, "end": 970.66, "word": " ناقص", "probability": 0.96923828125}, {"start": 970.66, "end": 971.52, "word": " cosine", "probability": 0.95068359375}, {"start": 971.52, "end": 972.66, "word": " المجموع", "probability": 0.9127197265625}], "temperature": 1.0}, {"id": 43, "seek": 100273, "start": 974.85, "end": 1002.73, "text": "النقطة الثالثة والاخيرة أخدته cosine MX في cosine NX يبقى نص في cosine الفارق زائد cosine المجموعة examples يحسبولي", "tokens": [6027, 1863, 47432, 3660, 6024, 104, 6027, 12984, 3660, 16070, 47283, 48923, 5551, 9778, 3215, 47395, 23565, 47509, 8978, 23565, 426, 55, 7251, 3555, 4587, 7578, 8717, 9381, 8978, 23565, 27188, 9640, 4587, 30767, 16373, 3215, 23565, 9673, 7435, 2304, 2407, 27884, 5110, 7251, 5016, 35457, 12610, 1829], "avg_logprob": -0.17458545918367346, "compression_ratio": 1.3134328358208955, "no_speech_prob": 0.0, "words": [{"start": 974.85, "end": 975.61, "word": "النقطة", "probability": 0.9156494140625}, {"start": 975.61, "end": 976.37, "word": " الثالثة", "probability": 0.956640625}, {"start": 976.37, "end": 977.41, "word": " والاخيرة", "probability": 0.86328125}, {"start": 977.41, "end": 978.79, "word": " أخدته", "probability": 0.708740234375}, {"start": 978.79, "end": 979.67, "word": " cosine", "probability": 0.60205078125}, {"start": 979.67, "end": 981.13, "word": " MX", "probability": 0.315673828125}, {"start": 981.13, "end": 981.83, "word": " في", "probability": 0.7119140625}, {"start": 981.83, "end": 982.93, "word": " cosine", "probability": 0.8525390625}, {"start": 982.93, "end": 984.11, "word": " NX", "probability": 0.882080078125}, {"start": 984.11, "end": 985.09, "word": " يبقى", "probability": 0.9781494140625}, {"start": 985.09, "end": 985.57, "word": " نص", "probability": 0.980712890625}, {"start": 985.57, "end": 986.25, "word": " في", "probability": 0.9716796875}, {"start": 986.25, "end": 987.33, "word": " cosine", "probability": 0.8798828125}, {"start": 987.33, "end": 988.55, "word": " الفارق", "probability": 0.8662109375}, {"start": 988.55, "end": 990.21, "word": " زائد", "probability": 0.74755859375}, {"start": 990.21, "end": 991.15, "word": " cosine", "probability": 0.94482421875}, {"start": 991.15, "end": 993.17, "word": " المجموعة", "probability": 0.95517578125}, {"start": 993.17, "end": 997.35, "word": " examples", "probability": 0.419921875}, {"start": 997.35, "end": 1002.73, "word": " يحسبولي", "probability": 0.8865234375}], "temperature": 1.0}, {"id": 44, "seek": 102983, "start": 1004.96, "end": 1029.84, "text": "The following integrals التكاملات التالية أول تكامل من هذه التكاملات هو سؤال 52 من الكتاب", "tokens": [2278, 3480, 3572, 1124, 16712, 4117, 10943, 1211, 9307, 16712, 6027, 10632, 5551, 12610, 6055, 4117, 10943, 1211, 9154, 29538, 16712, 4117, 10943, 1211, 9307, 31439, 8608, 33604, 6027, 18079, 9154, 33251, 2655, 16758], "avg_logprob": -0.12154017686843872, "compression_ratio": 1.3557692307692308, "no_speech_prob": 0.0, "words": [{"start": 1004.96, "end": 1005.22, "word": "The", "probability": 0.227294921875}, {"start": 1005.22, "end": 1005.86, "word": " following", "probability": 0.6796875}, {"start": 1005.86, "end": 1011.24, "word": " integrals", "probability": 0.91357421875}, {"start": 1011.24, "end": 1014.52, "word": " التكاملات", "probability": 0.94853515625}, {"start": 1014.52, "end": 1015.98, "word": " التالية", "probability": 0.9895833333333334}, {"start": 1015.98, "end": 1022.1, "word": " أول", "probability": 0.762451171875}, {"start": 1022.1, "end": 1022.76, "word": " تكامل", "probability": 0.9599609375}, {"start": 1022.76, "end": 1022.96, "word": " من", "probability": 0.986328125}, {"start": 1022.96, "end": 1023.34, "word": " هذه", "probability": 0.95068359375}, {"start": 1023.34, "end": 1024.64, "word": " التكاملات", "probability": 0.99287109375}, {"start": 1024.64, "end": 1025.68, "word": " هو", "probability": 0.93115234375}, {"start": 1025.68, "end": 1026.94, "word": " سؤال", "probability": 0.9816080729166666}, {"start": 1026.94, "end": 1027.74, "word": " 52", "probability": 0.480712890625}, {"start": 1027.74, "end": 1028.8, "word": " من", "probability": 0.98681640625}, {"start": 1028.8, "end": 1029.84, "word": " الكتاب", "probability": 0.98193359375}], "temperature": 1.0}, {"id": 45, "seek": 104464, "start": 1031.26, "end": 1044.64, "text": "بيقول ليش تكامل لـsin 2x cos 3x كله بالنسبة الى dx شوف ازاي", "tokens": [3555, 1829, 39648, 32239, 8592, 6055, 4117, 10943, 1211, 5296, 39184, 19767, 568, 87, 3792, 805, 87, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 30017, 13412, 38688, 1975, 11622, 47302], "avg_logprob": -0.4248046865686774, "compression_ratio": 1.0681818181818181, "no_speech_prob": 0.0, "words": [{"start": 1031.26, "end": 1031.98, "word": "بيقول", "probability": 0.5548502604166666}, {"start": 1031.98, "end": 1032.36, "word": " ليش", "probability": 0.65234375}, {"start": 1032.36, "end": 1033.28, "word": " تكامل", "probability": 0.9693603515625}, {"start": 1033.28, "end": 1034.66, "word": " لـsin", "probability": 0.4051106770833333}, {"start": 1034.66, "end": 1036.02, "word": " 2x", "probability": 0.600341796875}, {"start": 1036.02, "end": 1037.0, "word": " cos", "probability": 0.70068359375}, {"start": 1037.0, "end": 1039.08, "word": " 3x", "probability": 0.943115234375}, {"start": 1039.08, "end": 1039.8, "word": " كله", "probability": 0.900390625}, {"start": 1039.8, "end": 1040.62, "word": " بالنسبة", "probability": 0.9935302734375}, {"start": 1040.62, "end": 1041.06, "word": " الى", "probability": 0.50830078125}, {"start": 1041.06, "end": 1041.52, "word": " dx", "probability": 0.88330078125}, {"start": 1041.52, "end": 1044.34, "word": " شوف", "probability": 0.895751953125}, {"start": 1044.34, "end": 1044.64, "word": " ازاي", "probability": 0.4862467447916667}], "temperature": 1.0}, {"id": 46, "seek": 107006, "start": 1045.52, "end": 1070.06, "text": "مش أنا كامل هذه الدالة، بدي أرجع للصيغ اللي عندي، لاحظوا الصيغ اللي عندي الـsin في cosine، sin في sin، cosine في cosine، إذا كانت النتيجة هي sin في cosine، فبصير عند النتيجة sin زائد sin، sin الفرق بين الزاويتين، زائد sin المجموع للزاويتين", "tokens": [2304, 8592, 41850, 9122, 10943, 1211, 29538, 32748, 6027, 3660, 12399, 4724, 16254, 5551, 47341, 3615, 24976, 9381, 1829, 17082, 13672, 1829, 18871, 16254, 12399, 20193, 5016, 19913, 14407, 31767, 1829, 17082, 13672, 1829, 18871, 16254, 2423, 39184, 19767, 8978, 23565, 12399, 3343, 8978, 3343, 12399, 23565, 8978, 23565, 12399, 11933, 15730, 25961, 2655, 28239, 31371, 7435, 3660, 39896, 3343, 8978, 23565, 12399, 6156, 3555, 9381, 13546, 43242, 28239, 31371, 7435, 3660, 3343, 30767, 16373, 3215, 3343, 12399, 3343, 27188, 2288, 4587, 49374, 6024, 110, 995, 2407, 36081, 9957, 12399, 30767, 16373, 3215, 3343, 9673, 7435, 2304, 45367, 24976, 11622, 995, 2407, 36081, 9957], "avg_logprob": -0.24598214399246943, "compression_ratio": 2.015625, "no_speech_prob": 0.0, "words": [{"start": 1045.52, "end": 1045.84, "word": "مش", "probability": 0.6092529296875}, {"start": 1045.84, "end": 1046.02, "word": " أنا", "probability": 0.272216796875}, {"start": 1046.02, "end": 1046.52, "word": " كامل", "probability": 0.9534505208333334}, {"start": 1046.52, "end": 1046.96, "word": " هذه", "probability": 0.94189453125}, {"start": 1046.96, "end": 1047.62, "word": " الدالة،", "probability": 0.69537353515625}, {"start": 1047.62, "end": 1047.74, "word": " بدي", "probability": 0.595947265625}, {"start": 1047.74, "end": 1048.06, "word": " أرجع", "probability": 0.7080891927083334}, {"start": 1048.06, "end": 1048.68, "word": " للصيغ", "probability": 0.95361328125}, {"start": 1048.68, "end": 1048.9, "word": " اللي", "probability": 0.66650390625}, {"start": 1048.9, "end": 1049.68, "word": " عندي،", "probability": 0.6591796875}, {"start": 1049.68, "end": 1050.6, "word": " لاحظوا", "probability": 0.724609375}, {"start": 1050.6, "end": 1051.02, "word": " الصيغ", "probability": 0.97705078125}, {"start": 1051.02, "end": 1051.3, "word": " اللي", "probability": 0.966064453125}, {"start": 1051.3, "end": 1051.74, "word": " عندي", "probability": 0.85791015625}, {"start": 1051.74, "end": 1052.4, "word": " الـsin", "probability": 0.4085693359375}, {"start": 1052.4, "end": 1052.62, "word": " في", "probability": 0.93115234375}, {"start": 1052.62, "end": 1053.7, "word": " cosine،", "probability": 0.4774169921875}, {"start": 1053.7, "end": 1054.16, "word": " sin", "probability": 0.7734375}, {"start": 1054.16, "end": 1054.38, "word": " في", "probability": 0.98779296875}, {"start": 1054.38, "end": 1055.04, "word": " sin،", "probability": 0.69775390625}, {"start": 1055.04, "end": 1055.62, "word": " cosine", "probability": 0.76025390625}, {"start": 1055.62, "end": 1055.94, "word": " في", "probability": 0.98388671875}, {"start": 1055.94, "end": 1057.6, "word": " cosine،", "probability": 0.80419921875}, {"start": 1057.6, "end": 1057.84, "word": " إذا", "probability": 0.856201171875}, {"start": 1057.84, "end": 1058.32, "word": " كانت", "probability": 0.97216796875}, {"start": 1058.32, "end": 1058.86, "word": " النتيجة", "probability": 0.9708251953125}, {"start": 1058.86, "end": 1059.04, "word": " هي", "probability": 0.93359375}, {"start": 1059.04, "end": 1059.62, "word": " sin", "probability": 0.77001953125}, {"start": 1059.62, "end": 1059.9, "word": " في", "probability": 0.982421875}, {"start": 1059.9, "end": 1061.46, "word": " cosine،", "probability": 0.75341796875}, {"start": 1061.46, "end": 1062.02, "word": " فبصير", "probability": 0.9036865234375}, {"start": 1062.02, "end": 1062.24, "word": " عند", "probability": 0.70458984375}, {"start": 1062.24, "end": 1062.9, "word": " النتيجة", "probability": 0.945068359375}, {"start": 1062.9, "end": 1063.7, "word": " sin", "probability": 0.8408203125}, {"start": 1063.7, "end": 1064.32, "word": " زائد", "probability": 0.8453776041666666}, {"start": 1064.32, "end": 1064.88, "word": " sin،", "probability": 0.793212890625}, {"start": 1064.88, "end": 1065.24, "word": " sin", "probability": 0.58154296875}, {"start": 1065.24, "end": 1065.86, "word": " الفرق", "probability": 0.98583984375}, {"start": 1065.86, "end": 1066.16, "word": " بين", "probability": 0.98388671875}, {"start": 1066.16, "end": 1067.4, "word": " الزاويتين،", "probability": 0.8041643415178571}, {"start": 1067.4, "end": 1067.86, "word": " زائد", "probability": 0.9083658854166666}, {"start": 1067.86, "end": 1068.26, "word": " sin", "probability": 0.90576171875}, {"start": 1068.26, "end": 1069.1, "word": " المجموع", "probability": 0.9305419921875}, {"start": 1069.1, "end": 1070.06, "word": " للزاويتين", "probability": 0.8897298177083334}], "temperature": 1.0}, {"id": 47, "seek": 109145, "start": 1070.67, "end": 1091.45, "text": "إذا كان الـSin في الـSin طبعا النص ثابت في الحالات التلاتة بصير عندي Cos الفرق ناقص Cos المجموعة إذا Cos في Cos بصير Cos الفرق زائد Cos المجموعة يبقى الـSin في الـSin إيه فرجت عن Cos في Cos ببس بالإشارة", "tokens": [28814, 15730, 25961, 2423, 39184, 50, 259, 8978, 2423, 39184, 50, 259, 23032, 3555, 3615, 995, 28239, 9381, 38637, 16758, 2655, 8978, 21542, 6027, 9307, 16712, 1211, 9307, 3660, 4724, 9381, 13546, 18871, 16254, 15855, 27188, 2288, 4587, 8717, 995, 4587, 9381, 15855, 9673, 7435, 2304, 2407, 27884, 11933, 15730, 15855, 8978, 15855, 4724, 9381, 13546, 15855, 27188, 2288, 4587, 30767, 16373, 3215, 15855, 9673, 7435, 2304, 2407, 27884, 7251, 3555, 4587, 7578, 2423, 39184, 50, 259, 8978, 2423, 39184, 50, 259, 11933, 1829, 3224, 6156, 47341, 2655, 18871, 15855, 8978, 15855, 4724, 3555, 3794, 20666, 28814, 8592, 9640, 3660], "avg_logprob": -0.19879332273313316, "compression_ratio": 1.9583333333333333, "no_speech_prob": 0.0, "words": [{"start": 1070.67, "end": 1071.03, "word": "إذا", "probability": 0.6297607421875}, {"start": 1071.03, "end": 1071.37, "word": " كان", "probability": 0.93310546875}, {"start": 1071.37, "end": 1072.03, "word": " الـSin", "probability": 0.55694580078125}, {"start": 1072.03, "end": 1072.29, "word": " في", "probability": 0.8505859375}, {"start": 1072.29, "end": 1073.01, "word": " الـSin", "probability": 0.8463134765625}, {"start": 1073.01, "end": 1073.59, "word": " طبعا", "probability": 0.830078125}, {"start": 1073.59, "end": 1073.99, "word": " النص", "probability": 0.600830078125}, {"start": 1073.99, "end": 1074.49, "word": " ثابت", "probability": 0.9498697916666666}, {"start": 1074.49, "end": 1074.61, "word": " في", "probability": 0.91552734375}, {"start": 1074.61, "end": 1075.21, "word": " الحالات", "probability": 0.9484049479166666}, {"start": 1075.21, "end": 1075.93, "word": " التلاتة", "probability": 0.9306640625}, {"start": 1075.93, "end": 1076.57, "word": " بصير", "probability": 0.80615234375}, {"start": 1076.57, "end": 1076.93, "word": " عندي", "probability": 0.703857421875}, {"start": 1076.93, "end": 1077.29, "word": " Cos", "probability": 0.2308349609375}, {"start": 1077.29, "end": 1077.97, "word": " الفرق", "probability": 0.7848307291666666}, {"start": 1077.97, "end": 1078.43, "word": " ناقص", "probability": 0.9283447265625}, {"start": 1078.43, "end": 1078.83, "word": " Cos", "probability": 0.93994140625}, {"start": 1078.83, "end": 1079.63, "word": " المجموعة", "probability": 0.942578125}, {"start": 1079.63, "end": 1080.23, "word": " إذا", "probability": 0.8583984375}, {"start": 1080.23, "end": 1080.77, "word": " Cos", "probability": 0.65380859375}, {"start": 1080.77, "end": 1081.01, "word": " في", "probability": 0.923828125}, {"start": 1081.01, "end": 1081.47, "word": " Cos", "probability": 0.89990234375}, {"start": 1081.47, "end": 1081.79, "word": " بصير", "probability": 0.9747721354166666}, {"start": 1081.79, "end": 1082.27, "word": " Cos", "probability": 0.91796875}, {"start": 1082.27, "end": 1082.87, "word": " الفرق", "probability": 0.9837239583333334}, {"start": 1082.87, "end": 1083.69, "word": " زائد", "probability": 0.8821614583333334}, {"start": 1083.69, "end": 1084.15, "word": " Cos", "probability": 0.96142578125}, {"start": 1084.15, "end": 1085.09, "word": " المجموعة", "probability": 0.9765625}, {"start": 1085.09, "end": 1085.85, "word": " يبقى", "probability": 0.97314453125}, {"start": 1085.85, "end": 1086.33, "word": " الـSin", "probability": 0.79833984375}, {"start": 1086.33, "end": 1086.49, "word": " في", "probability": 0.96533203125}, {"start": 1086.49, "end": 1086.85, "word": " الـSin", "probability": 0.9530029296875}, {"start": 1086.85, "end": 1087.03, "word": " إيه", "probability": 0.79296875}, {"start": 1087.03, "end": 1087.43, "word": " فرجت", "probability": 0.7108561197916666}, {"start": 1087.43, "end": 1087.61, "word": " عن", "probability": 0.91845703125}, {"start": 1087.61, "end": 1088.17, "word": " Cos", "probability": 0.90234375}, {"start": 1088.17, "end": 1088.39, "word": " في", "probability": 0.97607421875}, {"start": 1088.39, "end": 1088.85, "word": " Cos", "probability": 0.943359375}, {"start": 1088.85, "end": 1090.17, "word": " ببس", "probability": 0.6832682291666666}, {"start": 1090.17, "end": 1091.45, "word": " بالإشارة", "probability": 0.9783203125}], "temperature": 1.0}, {"id": 48, "seek": 111715, "start": 1091.61, "end": 1117.15, "text": "وها دي كصين في ال cosine كلها بنكتبها بدلالة main بدلالة الصين نجي لأ سؤالنا سؤالنا ال sign في ال cosine إذا على الحالة الأولى يبقى بنروح أطبقله الحالة الأولى يبقى يساوي النص خليك برا وهي تكامل sign الفرق اتنين ناقص تلاتة كله في X", "tokens": [2407, 11296, 11778, 1829, 9122, 9381, 9957, 8978, 2423, 23565, 28242, 11296, 44945, 4117, 2655, 3555, 11296, 47525, 1211, 6027, 3660, 2135, 47525, 1211, 6027, 3660, 31767, 9957, 8717, 7435, 1829, 5296, 10721, 8608, 33604, 6027, 8315, 8608, 33604, 6027, 8315, 2423, 1465, 8978, 2423, 23565, 11933, 15730, 15844, 21542, 6027, 3660, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 44945, 32887, 5016, 5551, 9566, 3555, 4587, 43761, 21542, 6027, 3660, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 7251, 3794, 995, 45865, 28239, 9381, 16490, 20292, 4117, 4724, 23557, 37037, 1829, 6055, 4117, 10943, 1211, 1465, 27188, 2288, 4587, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 28242, 3224, 8978, 1783], "avg_logprob": -0.22758152510808863, "compression_ratio": 1.9356435643564356, "no_speech_prob": 0.0, "words": [{"start": 1091.61, "end": 1092.03, "word": "وها", "probability": 0.31402587890625}, {"start": 1092.03, "end": 1092.17, "word": " دي", "probability": 0.7056884765625}, {"start": 1092.17, "end": 1092.61, "word": " كصين", "probability": 0.5290120442708334}, {"start": 1092.61, "end": 1092.75, "word": " في", "probability": 0.8076171875}, {"start": 1092.75, "end": 1092.85, "word": " ال", "probability": 0.70654296875}, {"start": 1092.85, "end": 1093.13, "word": " cosine", "probability": 0.27734375}, {"start": 1093.13, "end": 1093.55, "word": " كلها", "probability": 0.9443359375}, {"start": 1093.55, "end": 1094.05, "word": " بنكتبها", "probability": 0.843994140625}, {"start": 1094.05, "end": 1094.61, "word": " بدلالة", "probability": 0.9490966796875}, {"start": 1094.61, "end": 1094.93, "word": " main", "probability": 0.18505859375}, {"start": 1094.93, "end": 1096.07, "word": " بدلالة", "probability": 0.962890625}, {"start": 1096.07, "end": 1096.55, "word": " الصين", "probability": 0.68505859375}, {"start": 1096.55, "end": 1097.31, "word": " نجي", "probability": 0.7679036458333334}, {"start": 1097.31, "end": 1097.47, "word": " لأ", "probability": 0.5728759765625}, {"start": 1097.47, "end": 1098.05, "word": " سؤالنا", "probability": 0.96826171875}, {"start": 1098.05, "end": 1098.63, "word": " سؤالنا", "probability": 0.78765869140625}, {"start": 1098.63, "end": 1098.77, "word": " ال", "probability": 0.225341796875}, {"start": 1098.77, "end": 1099.13, "word": " sign", "probability": 0.68896484375}, {"start": 1099.13, "end": 1099.41, "word": " في", "probability": 0.93603515625}, {"start": 1099.41, "end": 1099.51, "word": " ال", "probability": 0.6787109375}, {"start": 1099.51, "end": 1099.87, "word": " cosine", "probability": 0.93798828125}, {"start": 1099.87, "end": 1100.19, "word": " إذا", "probability": 0.5687255859375}, {"start": 1100.19, "end": 1100.47, "word": " على", "probability": 0.841796875}, {"start": 1100.47, "end": 1101.23, "word": " الحالة", "probability": 0.9796549479166666}, {"start": 1101.23, "end": 1102.89, "word": " الأولى", "probability": 0.98486328125}, {"start": 1102.89, "end": 1103.37, "word": " يبقى", "probability": 0.9327392578125}, {"start": 1103.37, "end": 1103.79, "word": " بنروح", "probability": 0.78955078125}, {"start": 1103.79, "end": 1104.53, "word": " أطبقله", "probability": 0.88046875}, {"start": 1104.53, "end": 1105.47, "word": " الحالة", "probability": 0.9908854166666666}, {"start": 1105.47, "end": 1106.27, "word": " الأولى", "probability": 0.9913736979166666}, {"start": 1106.27, "end": 1106.99, "word": " يبقى", "probability": 0.9859619140625}, {"start": 1106.99, "end": 1107.75, "word": " يساوي", "probability": 0.9708251953125}, {"start": 1107.75, "end": 1108.35, "word": " النص", "probability": 0.90576171875}, {"start": 1108.35, "end": 1108.95, "word": " خليك", "probability": 0.9371744791666666}, {"start": 1108.95, "end": 1109.43, "word": " برا", "probability": 0.8974609375}, {"start": 1109.43, "end": 1110.03, "word": " وهي", "probability": 0.72705078125}, {"start": 1110.03, "end": 1110.79, "word": " تكامل", "probability": 0.975341796875}, {"start": 1110.79, "end": 1112.21, "word": " sign", "probability": 0.68896484375}, {"start": 1112.21, "end": 1113.35, "word": " الفرق", "probability": 0.9357096354166666}, {"start": 1113.35, "end": 1114.37, "word": " اتنين", "probability": 0.914794921875}, {"start": 1114.37, "end": 1115.23, "word": " ناقص", "probability": 0.9781494140625}, {"start": 1115.23, "end": 1116.11, "word": " تلاتة", "probability": 0.9215087890625}, {"start": 1116.11, "end": 1116.67, "word": " كله", "probability": 0.96533203125}, {"start": 1116.67, "end": 1116.83, "word": " في", "probability": 0.97509765625}, {"start": 1116.83, "end": 1117.15, "word": " X", "probability": 0.38671875}], "temperature": 1.0}, {"id": 49, "seek": 113730, "start": 1117.56, "end": 1137.3, "text": "تمام زائد sin المجموعة sin اتنين زائد تلاتة كله في x وهذا كله بالنسبة الى dx يعني أصبحت مسألة على الشكل التالي تكامل sin لصلب x", "tokens": [2655, 15042, 2304, 30767, 16373, 3215, 3343, 9673, 7435, 2304, 2407, 27884, 3343, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 28242, 3224, 8978, 2031, 37037, 15730, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 30017, 37495, 22653, 5551, 9381, 3555, 33753, 47524, 10721, 37977, 15844, 25124, 28820, 16712, 6027, 1829, 6055, 4117, 10943, 1211, 3343, 5296, 9381, 46152, 2031], "avg_logprob": -0.2459716801531613, "compression_ratio": 1.5, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1117.56, "end": 1118.22, "word": "تمام", "probability": 0.4895426432291667}, {"start": 1118.22, "end": 1119.58, "word": " زائد", "probability": 0.716064453125}, {"start": 1119.58, "end": 1120.38, "word": " sin", "probability": 0.341796875}, {"start": 1120.38, "end": 1121.5, "word": " المجموعة", "probability": 0.87568359375}, {"start": 1121.5, "end": 1122.1, "word": " sin", "probability": 0.45654296875}, {"start": 1122.1, "end": 1123.04, "word": " اتنين", "probability": 0.8060302734375}, {"start": 1123.04, "end": 1123.78, "word": " زائد", "probability": 0.9757486979166666}, {"start": 1123.78, "end": 1124.58, "word": " تلاتة", "probability": 0.9273681640625}, {"start": 1124.58, "end": 1125.28, "word": " كله", "probability": 0.9306640625}, {"start": 1125.28, "end": 1125.44, "word": " في", "probability": 0.91650390625}, {"start": 1125.44, "end": 1125.8, "word": " x", "probability": 0.52197265625}, {"start": 1125.8, "end": 1126.82, "word": " وهذا", "probability": 0.84765625}, {"start": 1126.82, "end": 1127.32, "word": " كله", "probability": 0.986572265625}, {"start": 1127.32, "end": 1128.12, "word": " بالنسبة", "probability": 0.98876953125}, {"start": 1128.12, "end": 1128.66, "word": " الى", "probability": 0.6947021484375}, {"start": 1128.66, "end": 1129.36, "word": " dx", "probability": 0.88134765625}, {"start": 1129.36, "end": 1130.38, "word": " يعني", "probability": 0.904052734375}, {"start": 1130.38, "end": 1131.18, "word": " أصبحت", "probability": 0.89892578125}, {"start": 1131.18, "end": 1131.9, "word": " مسألة", "probability": 0.8268229166666666}, {"start": 1131.9, "end": 1132.3, "word": " على", "probability": 0.68896484375}, {"start": 1132.3, "end": 1132.98, "word": " الشكل", "probability": 0.9697265625}, {"start": 1132.98, "end": 1133.7, "word": " التالي", "probability": 0.9503580729166666}, {"start": 1133.7, "end": 1134.74, "word": " تكامل", "probability": 0.9710693359375}, {"start": 1134.74, "end": 1135.94, "word": " sin", "probability": 0.81982421875}, {"start": 1135.94, "end": 1136.98, "word": " لصلب", "probability": 0.4243977864583333}, {"start": 1136.98, "end": 1137.3, "word": " x", "probability": 0.93603515625}], "temperature": 1.0}, {"id": 50, "seek": 115496, "start": 1137.74, "end": 1154.96, "text": "بظل هنا سلب واحد في x بسلب x زائد sign لخمسة x كله بالنسبة إلى dx يبقى هذا الكلام بده يساوي نص نرجع بالسؤال ال sign good ولا even؟", "tokens": [3555, 19913, 1211, 34105, 8608, 46152, 36764, 24401, 8978, 2031, 4724, 3794, 46152, 2031, 30767, 16373, 3215, 1465, 5296, 9778, 2304, 3794, 3660, 2031, 28242, 3224, 20666, 1863, 35457, 3660, 30731, 30017, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 8717, 9381, 8717, 47341, 3615, 20666, 3794, 33604, 6027, 2423, 1465, 665, 49429, 754, 22807], "avg_logprob": -0.2022429461921415, "compression_ratio": 1.4256756756756757, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1137.74, "end": 1138.16, "word": "بظل", "probability": 0.66943359375}, {"start": 1138.16, "end": 1138.38, "word": " هنا", "probability": 0.9384765625}, {"start": 1138.38, "end": 1138.8, "word": " سلب", "probability": 0.4443359375}, {"start": 1138.8, "end": 1139.2, "word": " واحد", "probability": 0.8388671875}, {"start": 1139.2, "end": 1139.36, "word": " في", "probability": 0.92822265625}, {"start": 1139.36, "end": 1139.62, "word": " x", "probability": 0.43701171875}, {"start": 1139.62, "end": 1140.32, "word": " بسلب", "probability": 0.94287109375}, {"start": 1140.32, "end": 1140.84, "word": " x", "probability": 0.94677734375}, {"start": 1140.84, "end": 1142.1, "word": " زائد", "probability": 0.8113606770833334}, {"start": 1142.1, "end": 1142.96, "word": " sign", "probability": 0.3359375}, {"start": 1142.96, "end": 1144.48, "word": " لخمسة", "probability": 0.95712890625}, {"start": 1144.48, "end": 1144.94, "word": " x", "probability": 0.93798828125}, {"start": 1144.94, "end": 1145.78, "word": " كله", "probability": 0.927001953125}, {"start": 1145.78, "end": 1146.68, "word": " بالنسبة", "probability": 0.9923095703125}, {"start": 1146.68, "end": 1147.0, "word": " إلى", "probability": 0.327880859375}, {"start": 1147.0, "end": 1147.66, "word": " dx", "probability": 0.84326171875}, {"start": 1147.66, "end": 1148.86, "word": " يبقى", "probability": 0.9398193359375}, {"start": 1148.86, "end": 1149.1, "word": " هذا", "probability": 0.955078125}, {"start": 1149.1, "end": 1149.66, "word": " الكلام", "probability": 0.9742838541666666}, {"start": 1149.66, "end": 1150.04, "word": " بده", "probability": 0.6470947265625}, {"start": 1150.04, "end": 1150.6, "word": " يساوي", "probability": 0.9490966796875}, {"start": 1150.6, "end": 1151.16, "word": " نص", "probability": 0.940185546875}, {"start": 1151.16, "end": 1152.26, "word": " نرجع", "probability": 0.90478515625}, {"start": 1152.26, "end": 1153.0, "word": " بالسؤال", "probability": 0.9705810546875}, {"start": 1153.0, "end": 1153.22, "word": " ال", "probability": 0.7275390625}, {"start": 1153.22, "end": 1153.52, "word": " sign", "probability": 0.876953125}, {"start": 1153.52, "end": 1153.84, "word": " good", "probability": 0.2802734375}, {"start": 1153.84, "end": 1154.16, "word": " ولا", "probability": 0.84716796875}, {"start": 1154.16, "end": 1154.96, "word": " even؟", "probability": 0.845703125}], "temperature": 1.0}, {"id": 51, "seek": 117540, "start": 1155.46, "end": 1175.4, "text": "هد يبقى السلب برا ال sign يطلع مع السلامة يبقى اي تكامل لسلب sign ال x زائد sign خمسة x كله بالنسبة الى main الى dx يسامى نص خليها برا و نيجي قداش تكامل ال sign", "tokens": [3224, 3215, 7251, 3555, 4587, 7578, 21136, 46152, 4724, 23557, 2423, 1465, 7251, 9566, 1211, 3615, 20449, 21136, 37440, 3660, 7251, 3555, 4587, 7578, 1975, 1829, 6055, 4117, 10943, 1211, 5296, 3794, 46152, 1465, 2423, 2031, 30767, 16373, 3215, 1465, 16490, 2304, 3794, 3660, 2031, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 2135, 2423, 7578, 30017, 7251, 3794, 10943, 7578, 8717, 9381, 16490, 20292, 11296, 4724, 23557, 4032, 8717, 1829, 7435, 1829, 12174, 3215, 33599, 6055, 4117, 10943, 1211, 2423, 1465], "avg_logprob": -0.2917921701109553, "compression_ratio": 1.6518987341772151, "no_speech_prob": 0.0, "words": [{"start": 1155.46, "end": 1155.94, "word": "هد", "probability": 0.1926116943359375}, {"start": 1155.94, "end": 1156.38, "word": " يبقى", "probability": 0.8577880859375}, {"start": 1156.38, "end": 1156.88, "word": " السلب", "probability": 0.48193359375}, {"start": 1156.88, "end": 1157.36, "word": " برا", "probability": 0.84912109375}, {"start": 1157.36, "end": 1157.56, "word": " ال", "probability": 0.638671875}, {"start": 1157.56, "end": 1157.78, "word": " sign", "probability": 0.1800537109375}, {"start": 1157.78, "end": 1158.26, "word": " يطلع", "probability": 0.7713623046875}, {"start": 1158.26, "end": 1158.44, "word": " مع", "probability": 0.95263671875}, {"start": 1158.44, "end": 1159.26, "word": " السلامة", "probability": 0.88916015625}, {"start": 1159.26, "end": 1159.96, "word": " يبقى", "probability": 0.931884765625}, {"start": 1159.96, "end": 1160.22, "word": " اي", "probability": 0.7490234375}, {"start": 1160.22, "end": 1161.08, "word": " تكامل", "probability": 0.9554443359375}, {"start": 1161.08, "end": 1161.86, "word": " لسلب", "probability": 0.87939453125}, {"start": 1161.86, "end": 1162.36, "word": " sign", "probability": 0.44921875}, {"start": 1162.36, "end": 1162.62, "word": " ال", "probability": 0.61669921875}, {"start": 1162.62, "end": 1163.02, "word": " x", "probability": 0.429931640625}, {"start": 1163.02, "end": 1164.2, "word": " زائد", "probability": 0.8419596354166666}, {"start": 1164.2, "end": 1165.02, "word": " sign", "probability": 0.8505859375}, {"start": 1165.02, "end": 1166.18, "word": " خمسة", "probability": 0.9249267578125}, {"start": 1166.18, "end": 1166.58, "word": " x", "probability": 0.82763671875}, {"start": 1166.58, "end": 1167.36, "word": " كله", "probability": 0.921142578125}, {"start": 1167.36, "end": 1167.96, "word": " بالنسبة", "probability": 0.9925537109375}, {"start": 1167.96, "end": 1168.34, "word": " الى", "probability": 0.73681640625}, {"start": 1168.34, "end": 1168.68, "word": " main", "probability": 0.375732421875}, {"start": 1168.68, "end": 1169.52, "word": " الى", "probability": 0.882568359375}, {"start": 1169.52, "end": 1170.12, "word": " dx", "probability": 0.9013671875}, {"start": 1170.12, "end": 1171.32, "word": " يسامى", "probability": 0.67218017578125}, {"start": 1171.32, "end": 1171.58, "word": " نص", "probability": 0.91455078125}, {"start": 1171.58, "end": 1172.1, "word": " خليها", "probability": 0.78955078125}, {"start": 1172.1, "end": 1172.48, "word": " برا", "probability": 0.837158203125}, {"start": 1172.48, "end": 1172.68, "word": " و", "probability": 0.96923828125}, {"start": 1172.68, "end": 1173.16, "word": " نيجي", "probability": 0.75457763671875}, {"start": 1173.16, "end": 1174.02, "word": " قداش", "probability": 0.5669759114583334}, {"start": 1174.02, "end": 1174.66, "word": " تكامل", "probability": 0.97021484375}, {"start": 1174.66, "end": 1174.84, "word": " ال", "probability": 0.93115234375}, {"start": 1174.84, "end": 1175.4, "word": " sign", "probability": 0.95166015625}], "temperature": 1.0}, {"id": 52, "seek": 119653, "start": 1176.29, "end": 1196.53, "text": "سالب كوصين مع السلب يبقى كوصين الاكس وهنا سالب خمس كوصين لخمس اكس بس بده اشارة سالب في زائد يبقى هيب سلب وهنا زائد constant C", "tokens": [3794, 6027, 3555, 9122, 2407, 9381, 9957, 20449, 21136, 46152, 7251, 3555, 4587, 7578, 9122, 2407, 9381, 9957, 42963, 4117, 3794, 37037, 8315, 8608, 6027, 3555, 16490, 2304, 3794, 9122, 2407, 9381, 9957, 5296, 9778, 2304, 3794, 1975, 4117, 3794, 4724, 3794, 47525, 3224, 1975, 8592, 9640, 3660, 8608, 6027, 3555, 8978, 30767, 16373, 3215, 7251, 3555, 4587, 7578, 39896, 3555, 8608, 46152, 37037, 8315, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.2557218368624298, "compression_ratio": 1.6875, "no_speech_prob": 0.0, "words": [{"start": 1176.29, "end": 1177.19, "word": "سالب", "probability": 0.7002766927083334}, {"start": 1177.19, "end": 1177.87, "word": " كوصين", "probability": 0.61126708984375}, {"start": 1177.87, "end": 1178.15, "word": " مع", "probability": 0.9482421875}, {"start": 1178.15, "end": 1178.97, "word": " السلب", "probability": 0.78515625}, {"start": 1178.97, "end": 1179.97, "word": " يبقى", "probability": 0.955322265625}, {"start": 1179.97, "end": 1181.19, "word": " كوصين", "probability": 0.9168701171875}, {"start": 1181.19, "end": 1181.77, "word": " الاكس", "probability": 0.7324625651041666}, {"start": 1181.77, "end": 1182.67, "word": " وهنا", "probability": 0.76708984375}, {"start": 1182.67, "end": 1183.81, "word": " سالب", "probability": 0.833984375}, {"start": 1183.81, "end": 1185.33, "word": " خمس", "probability": 0.97998046875}, {"start": 1185.33, "end": 1187.45, "word": " كوصين", "probability": 0.800537109375}, {"start": 1187.45, "end": 1188.67, "word": " لخمس", "probability": 0.911865234375}, {"start": 1188.67, "end": 1189.29, "word": " اكس", "probability": 0.9090169270833334}, {"start": 1189.29, "end": 1189.87, "word": " بس", "probability": 0.8720703125}, {"start": 1189.87, "end": 1190.23, "word": " بده", "probability": 0.6513671875}, {"start": 1190.23, "end": 1190.71, "word": " اشارة", "probability": 0.830322265625}, {"start": 1190.71, "end": 1191.19, "word": " سالب", "probability": 0.805908203125}, {"start": 1191.19, "end": 1191.37, "word": " في", "probability": 0.796875}, {"start": 1191.37, "end": 1191.93, "word": " زائد", "probability": 0.7447916666666666}, {"start": 1191.93, "end": 1192.35, "word": " يبقى", "probability": 0.9688720703125}, {"start": 1192.35, "end": 1192.83, "word": " هيب", "probability": 0.40380859375}, {"start": 1192.83, "end": 1193.45, "word": " سلب", "probability": 0.890869140625}, {"start": 1193.45, "end": 1194.47, "word": " وهنا", "probability": 0.914306640625}, {"start": 1194.47, "end": 1195.37, "word": " زائد", "probability": 0.9510091145833334}, {"start": 1195.37, "end": 1195.97, "word": " constant", "probability": 0.456298828125}, {"start": 1195.97, "end": 1196.53, "word": " C", "probability": 0.71484375}], "temperature": 1.0}, {"id": 53, "seek": 121623, "start": 1197.03, "end": 1216.23, "text": "يبقى النتيجة نص cosine ال X ناقص عشر cosine خمسة X زائد constant C نمرأ بيه سؤال خمسة و خمسين من الكتاب", "tokens": [1829, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 8717, 9381, 23565, 2423, 1783, 8717, 995, 4587, 9381, 6225, 46309, 23565, 16490, 2304, 3794, 3660, 1783, 30767, 16373, 3215, 5754, 383, 8717, 29973, 10721, 4724, 1829, 3224, 8608, 33604, 6027, 16490, 2304, 3794, 3660, 4032, 16490, 2304, 3794, 9957, 9154, 33251, 2655, 16758], "avg_logprob": -0.17054834905660377, "compression_ratio": 1.2755905511811023, "no_speech_prob": 0.0, "words": [{"start": 1197.03, "end": 1197.51, "word": "يبقى", "probability": 0.8956298828125}, {"start": 1197.51, "end": 1198.27, "word": " النتيجة", "probability": 0.9505615234375}, {"start": 1198.27, "end": 1198.99, "word": " نص", "probability": 0.852294921875}, {"start": 1198.99, "end": 1199.69, "word": " cosine", "probability": 0.2587890625}, {"start": 1199.69, "end": 1200.09, "word": " ال", "probability": 0.2364501953125}, {"start": 1200.09, "end": 1200.51, "word": " X", "probability": 0.576171875}, {"start": 1200.51, "end": 1201.73, "word": " ناقص", "probability": 0.83392333984375}, {"start": 1201.73, "end": 1202.45, "word": " عشر", "probability": 0.954345703125}, {"start": 1202.45, "end": 1203.75, "word": " cosine", "probability": 0.92041015625}, {"start": 1203.75, "end": 1204.97, "word": " خمسة", "probability": 0.9781494140625}, {"start": 1204.97, "end": 1205.39, "word": " X", "probability": 0.95263671875}, {"start": 1205.39, "end": 1206.65, "word": " زائد", "probability": 0.8623046875}, {"start": 1206.65, "end": 1207.41, "word": " constant", "probability": 0.60498046875}, {"start": 1207.41, "end": 1208.43, "word": " C", "probability": 0.94189453125}, {"start": 1208.43, "end": 1211.93, "word": " نمرأ", "probability": 0.6873372395833334}, {"start": 1211.93, "end": 1212.91, "word": " بيه", "probability": 0.75}, {"start": 1212.91, "end": 1213.71, "word": " سؤال", "probability": 0.9654947916666666}, {"start": 1213.71, "end": 1214.27, "word": " خمسة", "probability": 0.9620361328125}, {"start": 1214.27, "end": 1214.41, "word": " و", "probability": 0.9970703125}, {"start": 1214.41, "end": 1215.15, "word": " خمسين", "probability": 0.9482421875}, {"start": 1215.15, "end": 1215.47, "word": " من", "probability": 0.98095703125}, {"start": 1215.47, "end": 1216.23, "word": " الكتاب", "probability": 0.98828125}], "temperature": 1.0}, {"id": 54, "seek": 122782, "start": 1217.26, "end": 1227.82, "text": "بقول تكامل لcos 3x cos 4x كله بالنسبة إلى dx", "tokens": [3555, 39648, 6055, 4117, 10943, 1211, 5296, 6877, 805, 87, 3792, 1017, 87, 28242, 3224, 20666, 1863, 35457, 3660, 30731, 30017], "avg_logprob": -0.2844460186633197, "compression_ratio": 0.9571428571428572, "no_speech_prob": 0.0, "words": [{"start": 1217.26, "end": 1217.8, "word": "بقول", "probability": 0.4886474609375}, {"start": 1217.8, "end": 1219.08, "word": " تكامل", "probability": 0.844970703125}, {"start": 1219.08, "end": 1219.88, "word": " لcos", "probability": 0.4853515625}, {"start": 1219.88, "end": 1222.06, "word": " 3x", "probability": 0.77490234375}, {"start": 1222.06, "end": 1223.02, "word": " cos", "probability": 0.7109375}, {"start": 1223.02, "end": 1225.5, "word": " 4x", "probability": 0.950439453125}, {"start": 1225.5, "end": 1226.22, "word": " كله", "probability": 0.909423828125}, {"start": 1226.22, "end": 1227.12, "word": " بالنسبة", "probability": 0.9871826171875}, {"start": 1227.12, "end": 1227.4, "word": " إلى", "probability": 0.3095703125}, {"start": 1227.4, "end": 1227.82, "word": " dx", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 55, "seek": 125484, "start": 1229.17, "end": 1254.85, "text": "بنفس التكتيك اللي اتبع فوق من ضرب بتحوله إلى جمع يبقى يساوي نص تكامل وهذا جوز الان cosine في cosine هي الحالة التالتة يبقى cosine الفرق زائد cosine المجموعة للزاويتين يبقى هنا بصير عنه cosine", "tokens": [3555, 1863, 36178, 16712, 4117, 31371, 4117, 13672, 1829, 1975, 2655, 3555, 3615, 6156, 30543, 9154, 48812, 25513, 39894, 5016, 12610, 3224, 30731, 10874, 2304, 3615, 7251, 3555, 4587, 7578, 7251, 3794, 995, 45865, 8717, 9381, 6055, 4117, 10943, 1211, 37037, 15730, 10874, 2407, 11622, 2423, 7649, 23565, 8978, 23565, 39896, 21542, 6027, 3660, 16712, 6027, 2655, 3660, 7251, 3555, 4587, 7578, 23565, 27188, 2288, 4587, 30767, 16373, 3215, 23565, 9673, 7435, 2304, 2407, 27884, 24976, 11622, 995, 2407, 36081, 9957, 7251, 3555, 4587, 7578, 34105, 4724, 9381, 13546, 18871, 3224, 23565], "avg_logprob": -0.19304434842960808, "compression_ratio": 1.7096774193548387, "no_speech_prob": 0.0, "words": [{"start": 1229.17, "end": 1229.71, "word": "بنفس", "probability": 0.9611002604166666}, {"start": 1229.71, "end": 1230.31, "word": " التكتيك", "probability": 0.81500244140625}, {"start": 1230.31, "end": 1230.51, "word": " اللي", "probability": 0.692138671875}, {"start": 1230.51, "end": 1230.97, "word": " اتبع", "probability": 0.711669921875}, {"start": 1230.97, "end": 1231.41, "word": " فوق", "probability": 0.978271484375}, {"start": 1231.41, "end": 1232.09, "word": " من", "probability": 0.90771484375}, {"start": 1232.09, "end": 1232.63, "word": " ضرب", "probability": 0.99365234375}, {"start": 1232.63, "end": 1233.43, "word": " بتحوله", "probability": 0.7686004638671875}, {"start": 1233.43, "end": 1233.71, "word": " إلى", "probability": 0.6005859375}, {"start": 1233.71, "end": 1235.51, "word": " جمع", "probability": 0.7119140625}, {"start": 1235.51, "end": 1236.57, "word": " يبقى", "probability": 0.9442138671875}, {"start": 1236.57, "end": 1237.31, "word": " يساوي", "probability": 0.933349609375}, {"start": 1237.31, "end": 1237.85, "word": " نص", "probability": 0.97509765625}, {"start": 1237.85, "end": 1239.01, "word": " تكامل", "probability": 0.96630859375}, {"start": 1239.01, "end": 1240.01, "word": " وهذا", "probability": 0.83837890625}, {"start": 1240.01, "end": 1240.53, "word": " جوز", "probability": 0.6883951822916666}, {"start": 1240.53, "end": 1241.59, "word": " الان", "probability": 0.657470703125}, {"start": 1241.59, "end": 1242.15, "word": " cosine", "probability": 0.4560546875}, {"start": 1242.15, "end": 1242.39, "word": " في", "probability": 0.84033203125}, {"start": 1242.39, "end": 1242.99, "word": " cosine", "probability": 0.92724609375}, {"start": 1242.99, "end": 1243.27, "word": " هي", "probability": 0.896484375}, {"start": 1243.27, "end": 1244.25, "word": " الحالة", "probability": 0.9772135416666666}, {"start": 1244.25, "end": 1245.53, "word": " التالتة", "probability": 0.940673828125}, {"start": 1245.53, "end": 1246.13, "word": " يبقى", "probability": 0.9732666015625}, {"start": 1246.13, "end": 1246.63, "word": " cosine", "probability": 0.7890625}, {"start": 1246.63, "end": 1247.37, "word": " الفرق", "probability": 0.9591471354166666}, {"start": 1247.37, "end": 1247.95, "word": " زائد", "probability": 0.788818359375}, {"start": 1247.95, "end": 1248.87, "word": " cosine", "probability": 0.93115234375}, {"start": 1248.87, "end": 1249.99, "word": " المجموعة", "probability": 0.96220703125}, {"start": 1249.99, "end": 1251.01, "word": " للزاويتين", "probability": 0.8349609375}, {"start": 1251.01, "end": 1251.99, "word": " يبقى", "probability": 0.9859619140625}, {"start": 1251.99, "end": 1252.23, "word": " هنا", "probability": 0.90185546875}, {"start": 1252.23, "end": 1252.77, "word": " بصير", "probability": 0.9049479166666666}, {"start": 1252.77, "end": 1253.33, "word": " عنه", "probability": 0.366455078125}, {"start": 1253.33, "end": 1254.85, "word": " cosine", "probability": 0.8818359375}], "temperature": 1.0}, {"id": 56, "seek": 127802, "start": 1255.48, "end": 1278.02, "text": "الفارق تلاتة ناقص أربعة قدر قداش ناقص واحد يبقى ناقص X زائد cosine المجموعة تلاتة زائد أربعة اللي هو السبعة X كله بالنسبة لما ينقل دي X الآن ال cosine قد و الله يذنب", "tokens": [6027, 5172, 9640, 4587, 6055, 1211, 9307, 3660, 8717, 995, 4587, 9381, 5551, 25513, 27884, 12174, 3215, 2288, 12174, 3215, 33599, 8717, 995, 4587, 9381, 36764, 24401, 7251, 3555, 4587, 7578, 8717, 995, 4587, 9381, 1783, 30767, 16373, 3215, 23565, 9673, 7435, 2304, 2407, 27884, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 5551, 25513, 27884, 13672, 1829, 31439, 21136, 3555, 27884, 1783, 28242, 3224, 20666, 1863, 35457, 3660, 5296, 15042, 7251, 1863, 4587, 1211, 11778, 1829, 1783, 6024, 48506, 2423, 23565, 12174, 3215, 4032, 21984, 7251, 8848, 1863, 3555], "avg_logprob": -0.26527777347299786, "compression_ratio": 1.7195121951219512, "no_speech_prob": 0.0, "words": [{"start": 1255.48, "end": 1256.46, "word": "الفارق", "probability": 0.7281494140625}, {"start": 1256.46, "end": 1257.34, "word": " تلاتة", "probability": 0.78582763671875}, {"start": 1257.34, "end": 1257.78, "word": " ناقص", "probability": 0.948974609375}, {"start": 1257.78, "end": 1258.12, "word": " أربعة", "probability": 0.7828776041666666}, {"start": 1258.12, "end": 1258.36, "word": " قدر", "probability": 0.4182942708333333}, {"start": 1258.36, "end": 1259.06, "word": " قداش", "probability": 0.5128580729166666}, {"start": 1259.06, "end": 1260.16, "word": " ناقص", "probability": 0.9312744140625}, {"start": 1260.16, "end": 1260.66, "word": " واحد", "probability": 0.98876953125}, {"start": 1260.66, "end": 1261.2, "word": " يبقى", "probability": 0.96142578125}, {"start": 1261.2, "end": 1262.36, "word": " ناقص", "probability": 0.9925537109375}, {"start": 1262.36, "end": 1262.86, "word": " X", "probability": 0.5478515625}, {"start": 1262.86, "end": 1264.5, "word": " زائد", "probability": 0.8134765625}, {"start": 1264.5, "end": 1265.66, "word": " cosine", "probability": 0.60009765625}, {"start": 1265.66, "end": 1267.12, "word": " المجموعة", "probability": 0.9580078125}, {"start": 1267.12, "end": 1268.22, "word": " تلاتة", "probability": 0.9058837890625}, {"start": 1268.22, "end": 1268.82, "word": " زائد", "probability": 0.9630533854166666}, {"start": 1268.82, "end": 1269.56, "word": " أربعة", "probability": 0.9230143229166666}, {"start": 1269.56, "end": 1270.14, "word": " اللي", "probability": 0.82666015625}, {"start": 1270.14, "end": 1270.32, "word": " هو", "probability": 0.98974609375}, {"start": 1270.32, "end": 1271.02, "word": " السبعة", "probability": 0.7845052083333334}, {"start": 1271.02, "end": 1271.6, "word": " X", "probability": 0.919921875}, {"start": 1271.6, "end": 1272.36, "word": " كله", "probability": 0.962890625}, {"start": 1272.36, "end": 1272.96, "word": " بالنسبة", "probability": 0.9925537109375}, {"start": 1272.96, "end": 1273.26, "word": " لما", "probability": 0.631591796875}, {"start": 1273.26, "end": 1274.12, "word": " ينقل", "probability": 0.642578125}, {"start": 1274.12, "end": 1274.7, "word": " دي", "probability": 0.6265869140625}, {"start": 1274.7, "end": 1275.22, "word": " X", "probability": 0.791015625}, {"start": 1275.22, "end": 1276.2, "word": " الآن", "probability": 0.581787109375}, {"start": 1276.2, "end": 1276.34, "word": " ال", "probability": 0.89404296875}, {"start": 1276.34, "end": 1276.72, "word": " cosine", "probability": 0.830078125}, {"start": 1276.72, "end": 1277.1, "word": " قد", "probability": 0.645751953125}, {"start": 1277.1, "end": 1277.28, "word": " و", "probability": 0.313720703125}, {"start": 1277.28, "end": 1277.42, "word": " الله", "probability": 0.97412109375}, {"start": 1277.42, "end": 1278.02, "word": " يذنب", "probability": 0.75927734375}], "temperature": 1.0}, {"id": 57, "seek": 129682, "start": 1280.9, "end": 1296.82, "text": "يبقى نصف و هنا هيتكامل وصار يعني cos x زائد cos 7x كله بالنسبة هذا لمين؟ بالنسبة الى dx", "tokens": [1829, 3555, 4587, 7578, 8717, 9381, 5172, 4032, 34105, 39896, 2655, 4117, 10943, 1211, 4032, 9381, 9640, 37495, 22653, 3792, 2031, 30767, 16373, 3215, 3792, 1614, 87, 28242, 3224, 20666, 1863, 35457, 3660, 23758, 32767, 9957, 22807, 20666, 1863, 35457, 3660, 2423, 7578, 30017], "avg_logprob": -0.4340277645323012, "compression_ratio": 1.2946428571428572, "no_speech_prob": 0.0, "words": [{"start": 1280.8999999999999, "end": 1282.3, "word": "يبقى", "probability": 0.756744384765625}, {"start": 1282.3, "end": 1283.26, "word": " نصف", "probability": 0.7347005208333334}, {"start": 1283.26, "end": 1283.26, "word": " و", "probability": 0.19482421875}, {"start": 1283.26, "end": 1283.7, "word": " هنا", "probability": 0.405517578125}, {"start": 1283.7, "end": 1285.04, "word": " هيتكامل", "probability": 0.753173828125}, {"start": 1285.04, "end": 1285.9, "word": " وصار", "probability": 0.6177978515625}, {"start": 1285.9, "end": 1286.3, "word": " يعني", "probability": 0.49658203125}, {"start": 1286.3, "end": 1286.86, "word": " cos", "probability": 0.343017578125}, {"start": 1286.86, "end": 1287.82, "word": " x", "probability": 0.367431640625}, {"start": 1287.82, "end": 1288.84, "word": " زائد", "probability": 0.5547688802083334}, {"start": 1288.84, "end": 1289.36, "word": " cos", "probability": 0.8837890625}, {"start": 1289.36, "end": 1291.14, "word": " 7x", "probability": 0.803955078125}, {"start": 1291.14, "end": 1291.88, "word": " كله", "probability": 0.898193359375}, {"start": 1291.88, "end": 1292.6, "word": " بالنسبة", "probability": 0.9830322265625}, {"start": 1292.6, "end": 1292.94, "word": " هذا", "probability": 0.34033203125}, {"start": 1292.94, "end": 1294.0, "word": " لمين؟", "probability": 0.5951741536458334}, {"start": 1294.0, "end": 1295.04, "word": " بالنسبة", "probability": 0.9678955078125}, {"start": 1295.04, "end": 1295.86, "word": " الى", "probability": 0.7373046875}, {"start": 1295.86, "end": 1296.82, "word": " dx", "probability": 0.8583984375}], "temperature": 1.0}, {"id": 58, "seek": 132724, "start": 1298.28, "end": 1327.24, "text": "يبقى النتيجة أصبحت على الشكل التالي يساوي هذه النص برا وتكامل cosine X هو sine X وتكامل cosine 7X هو 7 sine 7X زائد constant C أو نص sine X زائد 1 على 14 sine 7X", "tokens": [1829, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 5551, 9381, 3555, 33753, 15844, 25124, 28820, 16712, 6027, 1829, 7251, 3794, 995, 45865, 29538, 28239, 9381, 4724, 23557, 34683, 4117, 10943, 1211, 23565, 1783, 31439, 18609, 1783, 34683, 4117, 10943, 1211, 23565, 1614, 55, 31439, 1614, 18609, 1614, 55, 30767, 16373, 3215, 5754, 383, 34051, 8717, 9381, 18609, 1783, 30767, 16373, 3215, 502, 15844, 3499, 18609, 1614, 55], "avg_logprob": -0.2105928359224516, "compression_ratio": 1.5592105263157894, "no_speech_prob": 0.0, "words": [{"start": 1298.28, "end": 1298.76, "word": "يبقى", "probability": 0.864501953125}, {"start": 1298.76, "end": 1299.3, "word": " النتيجة", "probability": 0.951904296875}, {"start": 1299.3, "end": 1299.94, "word": " أصبحت", "probability": 0.944580078125}, {"start": 1299.94, "end": 1300.16, "word": " على", "probability": 0.8994140625}, {"start": 1300.16, "end": 1300.82, "word": " الشكل", "probability": 0.97607421875}, {"start": 1300.82, "end": 1301.72, "word": " التالي", "probability": 0.9851888020833334}, {"start": 1301.72, "end": 1303.06, "word": " يساوي", "probability": 0.9066162109375}, {"start": 1303.06, "end": 1303.32, "word": " هذه", "probability": 0.46630859375}, {"start": 1303.32, "end": 1303.82, "word": " النص", "probability": 0.88232421875}, {"start": 1303.82, "end": 1304.42, "word": " برا", "probability": 0.6806640625}, {"start": 1304.42, "end": 1305.72, "word": " وتكامل", "probability": 0.807861328125}, {"start": 1305.72, "end": 1306.12, "word": " cosine", "probability": 0.54638671875}, {"start": 1306.12, "end": 1306.94, "word": " X", "probability": 0.26513671875}, {"start": 1306.94, "end": 1307.44, "word": " هو", "probability": 0.87548828125}, {"start": 1307.44, "end": 1308.3, "word": " sine", "probability": 0.26806640625}, {"start": 1308.3, "end": 1309.14, "word": " X", "probability": 0.9677734375}, {"start": 1309.14, "end": 1310.52, "word": " وتكامل", "probability": 0.8677978515625}, {"start": 1310.52, "end": 1311.1, "word": " cosine", "probability": 0.66552734375}, {"start": 1311.1, "end": 1312.14, "word": " 7X", "probability": 0.793212890625}, {"start": 1312.14, "end": 1312.96, "word": " هو", "probability": 0.95166015625}, {"start": 1312.96, "end": 1313.66, "word": " 7", "probability": 0.70849609375}, {"start": 1313.66, "end": 1315.22, "word": " sine", "probability": 0.54052734375}, {"start": 1315.22, "end": 1316.92, "word": " 7X", "probability": 0.925537109375}, {"start": 1316.92, "end": 1318.02, "word": " زائد", "probability": 0.814453125}, {"start": 1318.02, "end": 1318.54, "word": " constant", "probability": 0.45361328125}, {"start": 1318.54, "end": 1319.22, "word": " C", "probability": 0.94140625}, {"start": 1319.22, "end": 1319.88, "word": " أو", "probability": 0.7265625}, {"start": 1319.88, "end": 1320.96, "word": " نص", "probability": 0.959228515625}, {"start": 1320.96, "end": 1321.76, "word": " sine", "probability": 0.6826171875}, {"start": 1321.76, "end": 1322.44, "word": " X", "probability": 0.98486328125}, {"start": 1322.44, "end": 1323.22, "word": " زائد", "probability": 0.9500325520833334}, {"start": 1323.22, "end": 1323.64, "word": " 1", "probability": 0.7197265625}, {"start": 1323.64, "end": 1324.16, "word": " على", "probability": 0.55615234375}, {"start": 1324.16, "end": 1325.06, "word": " 14", "probability": 0.89453125}, {"start": 1325.06, "end": 1326.08, "word": " sine", "probability": 0.626953125}, {"start": 1326.08, "end": 1327.24, "word": " 7X", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 59, "seek": 135610, "start": 1327.54, "end": 1356.1, "text": "زائد كونستانسي سؤال التالت نمره تلاتة سؤال واحد وستين من الكتاب بيقول تكامل ل sign ثيتا cosine ثيتا cosine تلاتة ثيتا دي ثيتا بقول والله ده كويس ولا واحدة من التلاتة", "tokens": [11622, 16373, 3215, 9122, 11536, 14851, 7649, 3794, 1829, 8608, 33604, 6027, 16712, 6027, 2655, 8717, 29973, 3224, 6055, 1211, 9307, 3660, 8608, 33604, 6027, 36764, 24401, 4032, 14851, 9957, 9154, 33251, 2655, 16758, 4724, 1829, 39648, 6055, 4117, 10943, 1211, 5296, 1465, 38637, 36081, 995, 23565, 38637, 36081, 995, 23565, 6055, 1211, 9307, 3660, 38637, 36081, 995, 11778, 1829, 38637, 36081, 995, 4724, 39648, 16070, 43761, 11778, 3224, 9122, 45865, 3794, 49429, 36764, 24401, 3660, 9154, 16712, 1211, 9307, 3660], "avg_logprob": -0.2080792693830118, "compression_ratio": 1.832258064516129, "no_speech_prob": 0.0, "words": [{"start": 1327.54, "end": 1328.48, "word": "زائد", "probability": 0.7972005208333334}, {"start": 1328.48, "end": 1329.88, "word": " كونستانسي", "probability": 0.589111328125}, {"start": 1329.88, "end": 1331.96, "word": " سؤال", "probability": 0.8517252604166666}, {"start": 1331.96, "end": 1333.42, "word": " التالت", "probability": 0.9357096354166666}, {"start": 1333.42, "end": 1334.04, "word": " نمره", "probability": 0.5362955729166666}, {"start": 1334.04, "end": 1334.7, "word": " تلاتة", "probability": 0.927734375}, {"start": 1334.7, "end": 1335.22, "word": " سؤال", "probability": 0.9890950520833334}, {"start": 1335.22, "end": 1335.72, "word": " واحد", "probability": 0.93408203125}, {"start": 1335.72, "end": 1336.5, "word": " وستين", "probability": 0.9220377604166666}, {"start": 1336.5, "end": 1336.76, "word": " من", "probability": 0.97998046875}, {"start": 1336.76, "end": 1337.54, "word": " الكتاب", "probability": 0.98388671875}, {"start": 1337.54, "end": 1338.96, "word": " بيقول", "probability": 0.8883463541666666}, {"start": 1338.96, "end": 1340.2, "word": " تكامل", "probability": 0.8990478515625}, {"start": 1340.2, "end": 1341.04, "word": " ل", "probability": 0.95947265625}, {"start": 1341.04, "end": 1341.82, "word": " sign", "probability": 0.1412353515625}, {"start": 1341.82, "end": 1342.76, "word": " ثيتا", "probability": 0.65380859375}, {"start": 1342.76, "end": 1343.24, "word": " cosine", "probability": 0.5478515625}, {"start": 1343.24, "end": 1345.08, "word": " ثيتا", "probability": 0.9134114583333334}, {"start": 1345.08, "end": 1346.06, "word": " cosine", "probability": 0.81689453125}, {"start": 1346.06, "end": 1348.02, "word": " تلاتة", "probability": 0.92431640625}, {"start": 1348.02, "end": 1348.96, "word": " ثيتا", "probability": 0.9319661458333334}, {"start": 1348.96, "end": 1349.2, "word": " دي", "probability": 0.700439453125}, {"start": 1349.2, "end": 1350.02, "word": " ثيتا", "probability": 0.93798828125}, {"start": 1350.02, "end": 1353.2, "word": " بقول", "probability": 0.9609375}, {"start": 1353.2, "end": 1353.54, "word": " والله", "probability": 0.654541015625}, {"start": 1353.54, "end": 1353.76, "word": " ده", "probability": 0.823486328125}, {"start": 1353.76, "end": 1354.2, "word": " كويس", "probability": 0.9928385416666666}, {"start": 1354.2, "end": 1354.68, "word": " ولا", "probability": 0.744140625}, {"start": 1354.68, "end": 1355.22, "word": " واحدة", "probability": 0.9791666666666666}, {"start": 1355.22, "end": 1355.4, "word": " من", "probability": 0.99462890625}, {"start": 1355.4, "end": 1356.1, "word": " التلاتة", "probability": 0.9678955078125}], "temperature": 1.0}, {"id": 60, "seek": 138007, "start": 1356.87, "end": 1380.07, "text": "لأن هدول تلت نسب مثلثية مش تنتين اقترح واحد يقوللي باخد التنتين هدول مع بعض و اللي يطلع بعد هيك باخده مع هدول و يقوللي والله كلامك صح مظبوط لكن واحد دقيق النظر شوية قاللي التلات هدول انا باختصرهم لتنتين بخطوة واحدة بس", "tokens": [1211, 33456, 8032, 3215, 12610, 6055, 1211, 2655, 8717, 35457, 3714, 12984, 1211, 12984, 10632, 37893, 6055, 29399, 9957, 1975, 38149, 2288, 5016, 36764, 24401, 7251, 39648, 20292, 4724, 47283, 3215, 16712, 29399, 9957, 8032, 3215, 12610, 20449, 45030, 11242, 4032, 13672, 1829, 7251, 9566, 1211, 3615, 39182, 39896, 4117, 4724, 47283, 3215, 3224, 20449, 8032, 3215, 12610, 4032, 7251, 39648, 20292, 16070, 43761, 28242, 10943, 4117, 20328, 5016, 3714, 19913, 3555, 2407, 9566, 44381, 36764, 24401, 11778, 38436, 4587, 28239, 19913, 2288, 13412, 2407, 10632, 50239, 20292, 16712, 1211, 9307, 8032, 3215, 12610, 1975, 8315, 4724, 47283, 2655, 9381, 2288, 16095, 5296, 2655, 29399, 9957, 4724, 9778, 9566, 2407, 3660, 36764, 24401, 3660, 4724, 3794], "avg_logprob": -0.1760149598121643, "compression_ratio": 1.9898477157360406, "no_speech_prob": 0.0, "words": [{"start": 1356.87, "end": 1357.23, "word": "لأن", "probability": 0.6826171875}, {"start": 1357.23, "end": 1357.49, "word": " هدول", "probability": 0.6494140625}, {"start": 1357.49, "end": 1357.97, "word": " تلت", "probability": 0.8577473958333334}, {"start": 1357.97, "end": 1358.53, "word": " نسب", "probability": 0.98828125}, {"start": 1358.53, "end": 1359.67, "word": " مثلثية", "probability": 0.82041015625}, {"start": 1359.67, "end": 1359.97, "word": " مش", "probability": 0.82080078125}, {"start": 1359.97, "end": 1360.67, "word": " تنتين", "probability": 0.9775390625}, {"start": 1360.67, "end": 1362.53, "word": " اقترح", "probability": 0.83544921875}, {"start": 1362.53, "end": 1362.99, "word": " واحد", "probability": 0.994384765625}, {"start": 1362.99, "end": 1363.57, "word": " يقوللي", "probability": 0.7327473958333334}, {"start": 1363.57, "end": 1364.93, "word": " باخد", "probability": 0.95556640625}, {"start": 1364.93, "end": 1365.57, "word": " التنتين", "probability": 0.9361979166666666}, {"start": 1365.57, "end": 1366.03, "word": " هدول", "probability": 0.98046875}, {"start": 1366.03, "end": 1366.31, "word": " مع", "probability": 0.994140625}, {"start": 1366.31, "end": 1366.77, "word": " بعض", "probability": 0.99755859375}, {"start": 1366.77, "end": 1366.93, "word": " و", "probability": 0.892578125}, {"start": 1366.93, "end": 1367.21, "word": " اللي", "probability": 0.685791015625}, {"start": 1367.21, "end": 1368.05, "word": " يطلع", "probability": 0.9864501953125}, {"start": 1368.05, "end": 1368.79, "word": " بعد", "probability": 0.77099609375}, {"start": 1368.79, "end": 1369.07, "word": " هيك", "probability": 0.869873046875}, {"start": 1369.07, "end": 1369.65, "word": " باخده", "probability": 0.695068359375}, {"start": 1369.65, "end": 1369.77, "word": " مع", "probability": 0.96435546875}, {"start": 1369.77, "end": 1370.01, "word": " هدول", "probability": 0.5198567708333334}, {"start": 1370.01, "end": 1370.11, "word": " و", "probability": 0.75}, {"start": 1370.11, "end": 1370.29, "word": " يقوللي", "probability": 0.56494140625}, {"start": 1370.29, "end": 1370.53, "word": " والله", "probability": 0.89697265625}, {"start": 1370.53, "end": 1370.97, "word": " كلامك", "probability": 0.8343098958333334}, {"start": 1370.97, "end": 1371.27, "word": " صح", "probability": 0.998779296875}, {"start": 1371.27, "end": 1372.39, "word": " مظبوط", "probability": 0.84814453125}, {"start": 1372.39, "end": 1372.99, "word": " لكن", "probability": 0.64892578125}, {"start": 1372.99, "end": 1373.53, "word": " واحد", "probability": 0.994384765625}, {"start": 1373.53, "end": 1374.07, "word": " دقيق", "probability": 0.9899088541666666}, {"start": 1374.07, "end": 1374.55, "word": " النظر", "probability": 0.9098307291666666}, {"start": 1374.55, "end": 1375.25, "word": " شوية", "probability": 0.8937174479166666}, {"start": 1375.25, "end": 1376.15, "word": " قاللي", "probability": 0.874755859375}, {"start": 1376.15, "end": 1376.73, "word": " التلات", "probability": 0.88525390625}, {"start": 1376.73, "end": 1377.01, "word": " هدول", "probability": 0.98046875}, {"start": 1377.01, "end": 1377.21, "word": " انا", "probability": 0.77734375}, {"start": 1377.21, "end": 1377.97, "word": " باختصرهم", "probability": 0.92724609375}, {"start": 1377.97, "end": 1378.65, "word": " لتنتين", "probability": 0.9735107421875}, {"start": 1378.65, "end": 1379.41, "word": " بخطوة", "probability": 0.97412109375}, {"start": 1379.41, "end": 1379.85, "word": " واحدة", "probability": 0.9713541666666666}, {"start": 1379.85, "end": 1380.07, "word": " بس", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 61, "seek": 140401, "start": 1380.53, "end": 1404.01, "text": "بقول له ما هي هذه الخطوة 100% يعني قال لي بدي اضغط في 2 و اقسم على 2 بس بكون حلتي الاشكالية بدون اللفلفة الكبيرة هذه بقول له كيف قاللي هذي بدي اكتب نص وهنا 2 sin θ cos θ cos 3 θ dθ", "tokens": [3555, 39648, 46740, 19446, 39896, 29538, 33962, 9566, 2407, 3660, 2319, 4, 37495, 22653, 50239, 32239, 4724, 16254, 1975, 11242, 17082, 9566, 8978, 568, 4032, 1975, 4587, 38251, 15844, 568, 4724, 3794, 4724, 30544, 11331, 1211, 31371, 2423, 33599, 4117, 6027, 10632, 47525, 11536, 13672, 5172, 46538, 3660, 33251, 3555, 48923, 29538, 4724, 39648, 46740, 9122, 33911, 50239, 20292, 8032, 8848, 1829, 4724, 16254, 1975, 4117, 2655, 3555, 8717, 9381, 37037, 8315, 568, 3343, 12622, 3792, 12622, 3792, 805, 12622, 274, 9440], "avg_logprob": -0.27447288007621307, "compression_ratio": 1.5989304812834224, "no_speech_prob": 0.0, "words": [{"start": 1380.53, "end": 1380.97, "word": "بقول", "probability": 0.6051025390625}, {"start": 1380.97, "end": 1381.07, "word": " له", "probability": 0.69384765625}, {"start": 1381.07, "end": 1381.23, "word": " ما", "probability": 0.85205078125}, {"start": 1381.23, "end": 1381.53, "word": " هي", "probability": 0.9111328125}, {"start": 1381.53, "end": 1381.91, "word": " هذه", "probability": 0.96826171875}, {"start": 1381.91, "end": 1382.67, "word": " الخطوة", "probability": 0.92822265625}, {"start": 1382.67, "end": 1385.17, "word": " 100", "probability": 0.2037353515625}, {"start": 1385.17, "end": 1385.63, "word": "%", "probability": 0.58349609375}, {"start": 1385.63, "end": 1385.89, "word": " يعني", "probability": 0.79345703125}, {"start": 1385.89, "end": 1386.13, "word": " قال", "probability": 0.69873046875}, {"start": 1386.13, "end": 1386.21, "word": " لي", "probability": 0.4267578125}, {"start": 1386.21, "end": 1386.47, "word": " بدي", "probability": 0.807861328125}, {"start": 1386.47, "end": 1386.89, "word": " اضغط", "probability": 0.6541748046875}, {"start": 1386.89, "end": 1387.05, "word": " في", "probability": 0.70263671875}, {"start": 1387.05, "end": 1387.43, "word": " 2", "probability": 0.5810546875}, {"start": 1387.43, "end": 1387.61, "word": " و", "probability": 0.90576171875}, {"start": 1387.61, "end": 1387.87, "word": " اقسم", "probability": 0.7086588541666666}, {"start": 1387.87, "end": 1388.05, "word": " على", "probability": 0.82421875}, {"start": 1388.05, "end": 1388.37, "word": " 2", "probability": 0.978515625}, {"start": 1388.37, "end": 1389.01, "word": " بس", "probability": 0.751708984375}, {"start": 1389.01, "end": 1389.37, "word": " بكون", "probability": 0.885009765625}, {"start": 1389.37, "end": 1389.79, "word": " حلتي", "probability": 0.7604166666666666}, {"start": 1389.79, "end": 1390.53, "word": " الاشكالية", "probability": 0.844287109375}, {"start": 1390.53, "end": 1391.33, "word": " بدون", "probability": 0.993408203125}, {"start": 1391.33, "end": 1391.93, "word": " اللفلفة", "probability": 0.81640625}, {"start": 1391.93, "end": 1392.43, "word": " الكبيرة", "probability": 0.98876953125}, {"start": 1392.43, "end": 1392.81, "word": " هذه", "probability": 0.68212890625}, {"start": 1392.81, "end": 1393.65, "word": " بقول", "probability": 0.93310546875}, {"start": 1393.65, "end": 1393.81, "word": " له", "probability": 0.5078125}, {"start": 1393.81, "end": 1394.21, "word": " كيف", "probability": 0.954833984375}, {"start": 1394.21, "end": 1395.09, "word": " قاللي", "probability": 0.566162109375}, {"start": 1395.09, "end": 1395.39, "word": " هذي", "probability": 0.7281901041666666}, {"start": 1395.39, "end": 1395.77, "word": " بدي", "probability": 0.940673828125}, {"start": 1395.77, "end": 1396.33, "word": " اكتب", "probability": 0.9583740234375}, {"start": 1396.33, "end": 1396.93, "word": " نص", "probability": 0.986083984375}, {"start": 1396.93, "end": 1397.79, "word": " وهنا", "probability": 0.75048828125}, {"start": 1397.79, "end": 1398.51, "word": " 2", "probability": 0.77880859375}, {"start": 1398.51, "end": 1399.25, "word": " sin", "probability": 0.380859375}, {"start": 1399.25, "end": 1399.77, "word": " θ", "probability": 0.599609375}, {"start": 1399.77, "end": 1400.25, "word": " cos", "probability": 0.86962890625}, {"start": 1400.25, "end": 1401.17, "word": " θ", "probability": 0.94970703125}, {"start": 1401.17, "end": 1401.69, "word": " cos", "probability": 0.93408203125}, {"start": 1401.69, "end": 1402.63, "word": " 3", "probability": 0.81396484375}, {"start": 1402.63, "end": 1403.35, "word": " θ", "probability": 0.62060546875}, {"start": 1403.35, "end": 1404.01, "word": " dθ", "probability": 0.617431640625}], "temperature": 1.0}, {"id": 62, "seek": 142853, "start": 1404.45, "end": 1428.53, "text": "بنقوله 100% كلامك صحيح يبقى نص و هي تكامل هذا بقداش sin 2θ من حسب المثلثات Calculus A sin 2θ cos 3θ dθ مظبوط يبقى هاي بدل من تلت نسب مثلثية صارت قداش نسبتين", "tokens": [3555, 1863, 39648, 3224, 2319, 4, 28242, 10943, 4117, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 8717, 9381, 4032, 39896, 6055, 4117, 10943, 1211, 23758, 4724, 28543, 33599, 3343, 568, 9440, 9154, 11331, 35457, 9673, 12984, 1211, 12984, 9307, 3511, 36002, 316, 3343, 568, 9440, 3792, 805, 9440, 274, 9440, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 8032, 47302, 47525, 1211, 9154, 6055, 1211, 2655, 8717, 35457, 50113, 1211, 12984, 10632, 20328, 9640, 2655, 12174, 3215, 33599, 8717, 35457, 2655, 9957], "avg_logprob": -0.2904411876902861, "compression_ratio": 1.4375, "no_speech_prob": 0.0, "words": [{"start": 1404.45, "end": 1405.03, "word": "بنقوله", "probability": 0.669677734375}, {"start": 1405.03, "end": 1405.27, "word": " 100", "probability": 0.53564453125}, {"start": 1405.27, "end": 1405.75, "word": "%", "probability": 0.814453125}, {"start": 1405.75, "end": 1406.43, "word": " كلامك", "probability": 0.8689778645833334}, {"start": 1406.43, "end": 1406.97, "word": " صحيح", "probability": 0.9849853515625}, {"start": 1406.97, "end": 1407.99, "word": " يبقى", "probability": 0.96484375}, {"start": 1407.99, "end": 1408.49, "word": " نص", "probability": 0.984375}, {"start": 1408.49, "end": 1408.93, "word": " و", "probability": 0.364990234375}, {"start": 1408.93, "end": 1409.25, "word": " هي", "probability": 0.2042236328125}, {"start": 1409.25, "end": 1410.17, "word": " تكامل", "probability": 0.9852294921875}, {"start": 1410.17, "end": 1411.01, "word": " هذا", "probability": 0.734375}, {"start": 1411.01, "end": 1411.77, "word": " بقداش", "probability": 0.8902994791666666}, {"start": 1411.77, "end": 1412.87, "word": " sin", "probability": 0.1466064453125}, {"start": 1412.87, "end": 1413.55, "word": " 2θ", "probability": 0.461181640625}, {"start": 1413.55, "end": 1413.91, "word": " من", "probability": 0.80322265625}, {"start": 1413.91, "end": 1414.35, "word": " حسب", "probability": 0.904541015625}, {"start": 1414.35, "end": 1415.53, "word": " المثلثات", "probability": 0.93525390625}, {"start": 1415.53, "end": 1416.31, "word": " Calculus", "probability": 0.7001953125}, {"start": 1416.31, "end": 1416.75, "word": " A", "probability": 0.7509765625}, {"start": 1416.75, "end": 1417.49, "word": " sin", "probability": 0.7099609375}, {"start": 1417.49, "end": 1418.95, "word": " 2θ", "probability": 0.84375}, {"start": 1418.95, "end": 1419.41, "word": " cos", "probability": 0.5029296875}, {"start": 1419.41, "end": 1421.23, "word": " 3θ", "probability": 0.935546875}, {"start": 1421.23, "end": 1421.99, "word": " dθ", "probability": 0.764892578125}, {"start": 1421.99, "end": 1423.09, "word": " مظبوط", "probability": 0.87177734375}, {"start": 1423.09, "end": 1424.07, "word": " يبقى", "probability": 0.781707763671875}, {"start": 1424.07, "end": 1424.21, "word": " هاي", "probability": 0.3233642578125}, {"start": 1424.21, "end": 1424.55, "word": " بدل", "probability": 0.838623046875}, {"start": 1424.55, "end": 1424.65, "word": " من", "probability": 0.198486328125}, {"start": 1424.65, "end": 1425.09, "word": " تلت", "probability": 0.74951171875}, {"start": 1425.09, "end": 1425.41, "word": " نسب", "probability": 0.84716796875}, {"start": 1425.41, "end": 1426.03, "word": " مثلثية", "probability": 0.85540771484375}, {"start": 1426.03, "end": 1426.41, "word": " صارت", "probability": 0.8048502604166666}, {"start": 1426.41, "end": 1427.13, "word": " قداش", "probability": 0.8846028645833334}, {"start": 1427.13, "end": 1428.53, "word": " نسبتين", "probability": 0.878173828125}], "temperature": 1.0}, {"id": 63, "seek": 144929, "start": 1428.87, "end": 1449.29, "text": "واحد متابعك كويس بيقولي ماذا السؤال حلناه، السؤال الأول، ولا لا؟ مظبوط ولا لا؟ يبغى هذا هو السؤال الأول، يبغى هي الجواب، كويس؟ يبغى هيه، ما نقوله هذا هو ال first example", "tokens": [14407, 24401, 44650, 16758, 3615, 4117, 9122, 45865, 3794, 4724, 1829, 39648, 1829, 3714, 45636, 995, 21136, 33604, 6027, 11331, 1211, 8315, 3224, 12399, 21136, 33604, 6027, 16247, 12610, 12399, 49429, 20193, 22807, 3714, 19913, 3555, 2407, 9566, 49429, 20193, 22807, 7251, 3555, 17082, 7578, 23758, 31439, 21136, 33604, 6027, 16247, 12610, 12399, 7251, 3555, 17082, 7578, 39896, 25724, 14407, 3555, 12399, 9122, 45865, 3794, 22807, 7251, 3555, 17082, 7578, 39896, 3224, 12399, 19446, 8717, 39648, 3224, 23758, 31439, 2423, 700, 1365], "avg_logprob": -0.24284638949187407, "compression_ratio": 1.8322981366459627, "no_speech_prob": 0.0, "words": [{"start": 1428.87, "end": 1429.51, "word": "واحد", "probability": 0.6295166015625}, {"start": 1429.51, "end": 1430.33, "word": " متابعك", "probability": 0.7044677734375}, {"start": 1430.33, "end": 1430.73, "word": " كويس", "probability": 0.904296875}, {"start": 1430.73, "end": 1431.15, "word": " بيقولي", "probability": 0.66717529296875}, {"start": 1431.15, "end": 1431.47, "word": " ماذا", "probability": 0.7534993489583334}, {"start": 1431.47, "end": 1431.79, "word": " السؤال", "probability": 0.9436848958333334}, {"start": 1431.79, "end": 1432.63, "word": " حلناه،", "probability": 0.839892578125}, {"start": 1432.63, "end": 1432.97, "word": " السؤال", "probability": 0.8014322916666666}, {"start": 1432.97, "end": 1434.03, "word": " الأول،", "probability": 0.8372395833333334}, {"start": 1434.03, "end": 1434.37, "word": " ولا", "probability": 0.366943359375}, {"start": 1434.37, "end": 1436.11, "word": " لا؟", "probability": 0.903564453125}, {"start": 1436.11, "end": 1437.63, "word": " مظبوط", "probability": 0.858203125}, {"start": 1437.63, "end": 1437.77, "word": " ولا", "probability": 0.8603515625}, {"start": 1437.77, "end": 1438.41, "word": " لا؟", "probability": 0.95703125}, {"start": 1438.41, "end": 1438.83, "word": " يبغى", "probability": 0.7952880859375}, {"start": 1438.83, "end": 1439.13, "word": " هذا", "probability": 0.9375}, {"start": 1439.13, "end": 1439.41, "word": " هو", "probability": 0.9912109375}, {"start": 1439.41, "end": 1439.85, "word": " السؤال", "probability": 0.9957682291666666}, {"start": 1439.85, "end": 1440.35, "word": " الأول،", "probability": 0.9322916666666666}, {"start": 1440.35, "end": 1440.55, "word": " يبغى", "probability": 0.98779296875}, {"start": 1440.55, "end": 1440.77, "word": " هي", "probability": 0.450439453125}, {"start": 1440.77, "end": 1442.37, "word": " الجواب،", "probability": 0.79791259765625}, {"start": 1442.37, "end": 1443.33, "word": " كويس؟", "probability": 0.863037109375}, {"start": 1443.33, "end": 1443.89, "word": " يبغى", "probability": 0.982421875}, {"start": 1443.89, "end": 1444.61, "word": " هيه،", "probability": 0.69482421875}, {"start": 1444.61, "end": 1445.03, "word": " ما", "probability": 0.2386474609375}, {"start": 1445.03, "end": 1445.65, "word": " نقوله", "probability": 0.8103841145833334}, {"start": 1445.65, "end": 1446.15, "word": " هذا", "probability": 0.86474609375}, {"start": 1446.15, "end": 1446.73, "word": " هو", "probability": 0.99609375}, {"start": 1446.73, "end": 1447.01, "word": " ال", "probability": 0.9169921875}, {"start": 1447.01, "end": 1447.67, "word": " first", "probability": 0.80419921875}, {"start": 1447.67, "end": 1449.29, "word": " example", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 64, "seek": 145923, "start": 1450.81, "end": 1459.23, "text": "يبقى هذا عليك انت تكمله عاد، ماشي؟ يبقى خلاصنا من هذا الكلام، هذا ضايل عندنا", "tokens": [1829, 3555, 4587, 7578, 23758, 25894, 4117, 16472, 2655, 6055, 24793, 1211, 3224, 6225, 18513, 12399, 3714, 33599, 1829, 22807, 7251, 3555, 4587, 7578, 16490, 1211, 33546, 8315, 9154, 23758, 2423, 28820, 10943, 12399, 23758, 48812, 995, 26895, 43242, 8315], "avg_logprob": -0.240853661444129, "compression_ratio": 1.422680412371134, "no_speech_prob": 0.0, "words": [{"start": 1450.81, "end": 1451.41, "word": "يبقى", "probability": 0.864990234375}, {"start": 1451.41, "end": 1451.67, "word": " هذا", "probability": 0.261474609375}, {"start": 1451.67, "end": 1452.15, "word": " عليك", "probability": 0.91015625}, {"start": 1452.15, "end": 1452.39, "word": " انت", "probability": 0.64013671875}, {"start": 1452.39, "end": 1453.17, "word": " تكمله", "probability": 0.7889404296875}, {"start": 1453.17, "end": 1454.03, "word": " عاد،", "probability": 0.7561848958333334}, {"start": 1454.03, "end": 1455.77, "word": " ماشي؟", "probability": 0.9345703125}, {"start": 1455.77, "end": 1456.31, "word": " يبقى", "probability": 0.85986328125}, {"start": 1456.31, "end": 1456.89, "word": " خلاصنا", "probability": 0.876953125}, {"start": 1456.89, "end": 1457.05, "word": " من", "probability": 0.95849609375}, {"start": 1457.05, "end": 1457.19, "word": " هذا", "probability": 0.32470703125}, {"start": 1457.19, "end": 1457.69, "word": " الكلام،", "probability": 0.8922119140625}, {"start": 1457.69, "end": 1457.97, "word": " هذا", "probability": 0.7666015625}, {"start": 1457.97, "end": 1458.51, "word": " ضايل", "probability": 0.8063151041666666}, {"start": 1458.51, "end": 1459.23, "word": " عندنا", "probability": 0.9072265625}], "temperature": 1.0}, {"id": 65, "seek": 148107, "start": 1459.89, "end": 1481.07, "text": "بنعطيكم مثال عام، المثال عام يعني دوال مثلثية صحية لكن مالوش قاعدة ثابتة، فتشغل مخكك وتستفيد من، يعني عندك بيجي أربع أسئلة أو خمسة في الكتاب وقد يكونوا ستة، منها المدينة ده واحد فيهم", "tokens": [3555, 1863, 3615, 9566, 1829, 24793, 50113, 6027, 6225, 10943, 12399, 9673, 12984, 6027, 6225, 10943, 37495, 22653, 11778, 2407, 6027, 50113, 1211, 12984, 10632, 20328, 5016, 10632, 44381, 3714, 6027, 2407, 8592, 12174, 995, 22488, 3660, 38637, 16758, 2655, 3660, 12399, 6156, 2655, 8592, 17082, 1211, 3714, 9778, 4117, 4117, 34683, 14851, 5172, 25708, 9154, 12399, 37495, 22653, 43242, 4117, 4724, 1829, 7435, 1829, 5551, 25513, 3615, 5551, 3794, 19986, 37977, 34051, 16490, 2304, 3794, 3660, 8978, 33251, 2655, 16758, 4032, 28543, 7251, 30544, 14407, 8608, 2655, 3660, 12399, 9154, 11296, 9673, 3215, 9957, 3660, 11778, 3224, 36764, 24401, 8978, 16095], "avg_logprob": -0.22754853934917635, "compression_ratio": 1.7239583333333333, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1459.89, "end": 1460.99, "word": "بنعطيكم", "probability": 0.5753580729166666}, {"start": 1460.99, "end": 1461.69, "word": " مثال", "probability": 0.98828125}, {"start": 1461.69, "end": 1463.03, "word": " عام،", "probability": 0.8165690104166666}, {"start": 1463.03, "end": 1463.57, "word": " المثال", "probability": 0.87060546875}, {"start": 1463.57, "end": 1463.93, "word": " عام", "probability": 0.87109375}, {"start": 1463.93, "end": 1464.31, "word": " يعني", "probability": 0.9541015625}, {"start": 1464.31, "end": 1465.37, "word": " دوال", "probability": 0.62841796875}, {"start": 1465.37, "end": 1466.27, "word": " مثلثية", "probability": 0.8341064453125}, {"start": 1466.27, "end": 1466.99, "word": " صحية", "probability": 0.9853515625}, {"start": 1466.99, "end": 1467.63, "word": " لكن", "probability": 0.779296875}, {"start": 1467.63, "end": 1468.39, "word": " مالوش", "probability": 0.8795166015625}, {"start": 1468.39, "end": 1469.37, "word": " قاعدة", "probability": 0.982666015625}, {"start": 1469.37, "end": 1470.55, "word": " ثابتة،", "probability": 0.914453125}, {"start": 1470.55, "end": 1471.37, "word": " فتشغل", "probability": 0.68564453125}, {"start": 1471.37, "end": 1472.25, "word": " مخكك", "probability": 0.8065185546875}, {"start": 1472.25, "end": 1473.51, "word": " وتستفيد", "probability": 0.913330078125}, {"start": 1473.51, "end": 1474.47, "word": " من،", "probability": 0.49700927734375}, {"start": 1474.47, "end": 1474.77, "word": " يعني", "probability": 0.802001953125}, {"start": 1474.77, "end": 1475.11, "word": " عندك", "probability": 0.990966796875}, {"start": 1475.11, "end": 1475.35, "word": " بيجي", "probability": 0.8349609375}, {"start": 1475.35, "end": 1475.65, "word": " أربع", "probability": 0.82568359375}, {"start": 1475.65, "end": 1476.03, "word": " أسئلة", "probability": 0.91015625}, {"start": 1476.03, "end": 1476.15, "word": " أو", "probability": 0.890625}, {"start": 1476.15, "end": 1476.57, "word": " خمسة", "probability": 0.982177734375}, {"start": 1476.57, "end": 1476.69, "word": " في", "probability": 0.79931640625}, {"start": 1476.69, "end": 1477.09, "word": " الكتاب", "probability": 0.9685872395833334}, {"start": 1477.09, "end": 1477.41, "word": " وقد", "probability": 0.840087890625}, {"start": 1477.41, "end": 1477.99, "word": " يكونوا", "probability": 0.9205729166666666}, {"start": 1477.99, "end": 1478.93, "word": " ستة،", "probability": 0.85015869140625}, {"start": 1478.93, "end": 1479.33, "word": " منها", "probability": 0.74853515625}, {"start": 1479.33, "end": 1479.87, "word": " المدينة", "probability": 0.7369384765625}, {"start": 1479.87, "end": 1480.13, "word": " ده", "probability": 0.7451171875}, {"start": 1480.13, "end": 1480.61, "word": " واحد", "probability": 0.987548828125}, {"start": 1480.61, "end": 1481.07, "word": " فيهم", "probability": 0.979736328125}], "temperature": 1.0}, {"id": 66, "seek": 150644, "start": 1481.72, "end": 1506.44, "text": "اللي يبقى نمرة D هذا سؤال تلاتة وستين من الكتاب بيقول لبنى تكامل ل سك تكيب ال X على مين؟ على تان ال X بالنسبة لمين؟ لديه X صحيح أنه سك مع تان جاية في السؤال بس مالوش قاعدة محددة", "tokens": [6027, 20292, 7251, 3555, 4587, 7578, 8717, 2304, 25720, 413, 23758, 8608, 33604, 6027, 6055, 1211, 9307, 3660, 4032, 14851, 9957, 9154, 33251, 2655, 16758, 4724, 1829, 39648, 5296, 3555, 1863, 7578, 6055, 4117, 10943, 1211, 5296, 8608, 4117, 6055, 4117, 1829, 3555, 2423, 1783, 15844, 3714, 9957, 22807, 15844, 6055, 7649, 2423, 1783, 20666, 1863, 35457, 3660, 32767, 9957, 22807, 5296, 16254, 3224, 1783, 20328, 5016, 1829, 5016, 14739, 3224, 8608, 4117, 20449, 6055, 7649, 10874, 995, 10632, 8978, 21136, 33604, 6027, 4724, 3794, 3714, 6027, 2407, 8592, 12174, 995, 22488, 3660, 3714, 24401, 41891], "avg_logprob": -0.24597293814432988, "compression_ratio": 1.690217391304348, "no_speech_prob": 0.0, "words": [{"start": 1481.72, "end": 1482.26, "word": "اللي", "probability": 0.27117919921875}, {"start": 1482.26, "end": 1482.74, "word": " يبقى", "probability": 0.8126220703125}, {"start": 1482.74, "end": 1483.42, "word": " نمرة", "probability": 0.709228515625}, {"start": 1483.42, "end": 1484.2, "word": " D", "probability": 0.62548828125}, {"start": 1484.2, "end": 1485.46, "word": " هذا", "probability": 0.376708984375}, {"start": 1485.46, "end": 1486.26, "word": " سؤال", "probability": 0.9864908854166666}, {"start": 1486.26, "end": 1487.0, "word": " تلاتة", "probability": 0.83502197265625}, {"start": 1487.0, "end": 1488.04, "word": " وستين", "probability": 0.8170572916666666}, {"start": 1488.04, "end": 1488.32, "word": " من", "probability": 0.97119140625}, {"start": 1488.32, "end": 1489.08, "word": " الكتاب", "probability": 0.9825846354166666}, {"start": 1489.08, "end": 1489.94, "word": " بيقول", "probability": 0.804931640625}, {"start": 1489.94, "end": 1490.46, "word": " لبنى", "probability": 0.43035888671875}, {"start": 1490.46, "end": 1491.44, "word": " تكامل", "probability": 0.9669189453125}, {"start": 1491.44, "end": 1491.8, "word": " ل", "probability": 0.92236328125}, {"start": 1491.8, "end": 1492.14, "word": " سك", "probability": 0.574462890625}, {"start": 1492.14, "end": 1493.02, "word": " تكيب", "probability": 0.829833984375}, {"start": 1493.02, "end": 1493.26, "word": " ال", "probability": 0.86962890625}, {"start": 1493.26, "end": 1493.72, "word": " X", "probability": 0.8349609375}, {"start": 1493.72, "end": 1494.52, "word": " على", "probability": 0.73681640625}, {"start": 1494.52, "end": 1495.14, "word": " مين؟", "probability": 0.6316731770833334}, {"start": 1495.14, "end": 1495.48, "word": " على", "probability": 0.85595703125}, {"start": 1495.48, "end": 1495.98, "word": " تان", "probability": 0.70068359375}, {"start": 1495.98, "end": 1496.2, "word": " ال", "probability": 0.92724609375}, {"start": 1496.2, "end": 1496.62, "word": " X", "probability": 0.9775390625}, {"start": 1496.62, "end": 1497.3, "word": " بالنسبة", "probability": 0.9830322265625}, {"start": 1497.3, "end": 1498.56, "word": " لمين؟", "probability": 0.8865559895833334}, {"start": 1498.56, "end": 1499.46, "word": " لديه", "probability": 0.7410481770833334}, {"start": 1499.46, "end": 1499.9, "word": " X", "probability": 0.91796875}, {"start": 1499.9, "end": 1501.04, "word": " صحيح", "probability": 0.974609375}, {"start": 1501.04, "end": 1501.36, "word": " أنه", "probability": 0.5084228515625}, {"start": 1501.36, "end": 1501.62, "word": " سك", "probability": 0.8759765625}, {"start": 1501.62, "end": 1501.86, "word": " مع", "probability": 0.97021484375}, {"start": 1501.86, "end": 1502.26, "word": " تان", "probability": 0.9775390625}, {"start": 1502.26, "end": 1502.58, "word": " جاية", "probability": 0.7486979166666666}, {"start": 1502.58, "end": 1502.7, "word": " في", "probability": 0.8583984375}, {"start": 1502.7, "end": 1503.3, "word": " السؤال", "probability": 0.99609375}, {"start": 1503.3, "end": 1504.06, "word": " بس", "probability": 0.7919921875}, {"start": 1504.06, "end": 1504.54, "word": " مالوش", "probability": 0.882568359375}, {"start": 1504.54, "end": 1505.32, "word": " قاعدة", "probability": 0.94873046875}, {"start": 1505.32, "end": 1506.44, "word": " محددة", "probability": 0.9954427083333334}], "temperature": 1.0}, {"id": 67, "seek": 152998, "start": 1507.22, "end": 1529.98, "text": "بنقول له أيوة يعني كأنه هذا سؤال عام على التمرين كله، على هذا الموضوع، بنقول له بسيطة جدا، واحد سمعته يقول إيش نسويلها؟ نحللها، طيب هاي سك تربيع ال X في سك ال X على تاني ال X كله في ال DX، بنقول له كلامك مصبوح", "tokens": [3555, 1863, 39648, 46740, 36632, 2407, 3660, 37495, 22653, 9122, 33456, 3224, 23758, 8608, 33604, 6027, 6225, 10943, 15844, 16712, 29973, 9957, 28242, 3224, 12399, 15844, 23758, 9673, 2407, 11242, 45367, 12399, 44945, 39648, 46740, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 12399, 36764, 24401, 8608, 2304, 34268, 3224, 7251, 39648, 11933, 1829, 8592, 8717, 3794, 45865, 1211, 11296, 22807, 8717, 5016, 1211, 1211, 11296, 12399, 23032, 1829, 3555, 8032, 47302, 8608, 4117, 6055, 2288, 21292, 3615, 2423, 1783, 8978, 8608, 4117, 2423, 1783, 15844, 6055, 7649, 1829, 2423, 1783, 28242, 3224, 8978, 2423, 48817, 12399, 44945, 39648, 46740, 28242, 10943, 4117, 3714, 9381, 3555, 2407, 5016], "avg_logprob": -0.20616318892549584, "compression_ratio": 1.8308457711442787, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1507.22, "end": 1507.74, "word": "بنقول", "probability": 0.759765625}, {"start": 1507.74, "end": 1507.88, "word": " له", "probability": 0.64892578125}, {"start": 1507.88, "end": 1508.82, "word": " أيوة", "probability": 0.7760416666666666}, {"start": 1508.82, "end": 1509.58, "word": " يعني", "probability": 0.819580078125}, {"start": 1509.58, "end": 1510.0, "word": " كأنه", "probability": 0.7939453125}, {"start": 1510.0, "end": 1510.2, "word": " هذا", "probability": 0.7470703125}, {"start": 1510.2, "end": 1510.78, "word": " سؤال", "probability": 0.9713541666666666}, {"start": 1510.78, "end": 1511.48, "word": " عام", "probability": 0.9970703125}, {"start": 1511.48, "end": 1511.82, "word": " على", "probability": 0.9189453125}, {"start": 1511.82, "end": 1512.6, "word": " التمرين", "probability": 0.9680989583333334}, {"start": 1512.6, "end": 1513.42, "word": " كله،", "probability": 0.720947265625}, {"start": 1513.42, "end": 1513.86, "word": " على", "probability": 0.5771484375}, {"start": 1513.86, "end": 1514.36, "word": " هذا", "probability": 0.98046875}, {"start": 1514.36, "end": 1515.34, "word": " الموضوع،", "probability": 0.887109375}, {"start": 1515.34, "end": 1515.62, "word": " بنقول", "probability": 0.78466796875}, {"start": 1515.62, "end": 1515.74, "word": " له", "probability": 0.666015625}, {"start": 1515.74, "end": 1516.32, "word": " بسيطة", "probability": 0.965234375}, {"start": 1516.32, "end": 1516.72, "word": " جدا،", "probability": 0.8805338541666666}, {"start": 1516.72, "end": 1517.06, "word": " واحد", "probability": 0.971923828125}, {"start": 1517.06, "end": 1517.6, "word": " سمعته", "probability": 0.8046875}, {"start": 1517.6, "end": 1517.96, "word": " يقول", "probability": 0.767333984375}, {"start": 1517.96, "end": 1518.24, "word": " إيش", "probability": 0.7181803385416666}, {"start": 1518.24, "end": 1519.36, "word": " نسويلها؟", "probability": 0.7986653645833334}, {"start": 1519.36, "end": 1520.84, "word": " نحللها،", "probability": 0.85986328125}, {"start": 1520.84, "end": 1521.26, "word": " طيب", "probability": 0.919921875}, {"start": 1521.26, "end": 1521.64, "word": " هاي", "probability": 0.7724609375}, {"start": 1521.64, "end": 1522.1, "word": " سك", "probability": 0.801025390625}, {"start": 1522.1, "end": 1522.82, "word": " تربيع", "probability": 0.6136474609375}, {"start": 1522.82, "end": 1522.98, "word": " ال", "probability": 0.89208984375}, {"start": 1522.98, "end": 1523.34, "word": " X", "probability": 0.759765625}, {"start": 1523.34, "end": 1523.6, "word": " في", "probability": 0.9189453125}, {"start": 1523.6, "end": 1524.02, "word": " سك", "probability": 0.95849609375}, {"start": 1524.02, "end": 1524.24, "word": " ال", "probability": 0.72265625}, {"start": 1524.24, "end": 1524.68, "word": " X", "probability": 0.98876953125}, {"start": 1524.68, "end": 1525.58, "word": " على", "probability": 0.724609375}, {"start": 1525.58, "end": 1526.34, "word": " تاني", "probability": 0.9192708333333334}, {"start": 1526.34, "end": 1526.48, "word": " ال", "probability": 0.8603515625}, {"start": 1526.48, "end": 1526.96, "word": " X", "probability": 0.99462890625}, {"start": 1526.96, "end": 1527.48, "word": " كله", "probability": 0.845947265625}, {"start": 1527.48, "end": 1527.64, "word": " في", "probability": 0.98095703125}, {"start": 1527.64, "end": 1527.74, "word": " ال", "probability": 0.91796875}, {"start": 1527.74, "end": 1528.26, "word": " DX،", "probability": 0.861083984375}, {"start": 1528.26, "end": 1528.62, "word": " بنقول", "probability": 0.80078125}, {"start": 1528.62, "end": 1528.74, "word": " له", "probability": 0.6689453125}, {"start": 1528.74, "end": 1529.36, "word": " كلامك", "probability": 0.91845703125}, {"start": 1529.36, "end": 1529.98, "word": " مصبوح", "probability": 0.84697265625}], "temperature": 1.0}, {"id": 68, "seek": 154836, "start": 1530.46, "end": 1548.36, "text": "قال يبقى يتكامل نجي ل سكت تربية بقولي لو حطناها واحد زائد تان تربية بنتخلص من المقام وإذا اتخلصنا المقام تصير المسألة أسهل كتير بقوله كيف؟", "tokens": [4587, 6027, 7251, 3555, 4587, 7578, 7251, 2655, 4117, 10943, 1211, 8717, 7435, 1829, 5296, 8608, 4117, 2655, 6055, 25513, 10632, 4724, 39648, 1829, 45164, 11331, 9566, 8315, 11296, 36764, 24401, 30767, 16373, 3215, 6055, 7649, 6055, 25513, 10632, 44945, 2655, 9778, 1211, 9381, 9154, 9673, 4587, 10943, 4032, 28814, 15730, 1975, 2655, 9778, 1211, 9381, 8315, 9673, 4587, 10943, 6055, 9381, 13546, 9673, 3794, 10721, 37977, 5551, 3794, 3224, 1211, 9122, 2655, 13546, 4724, 39648, 3224, 9122, 33911, 22807], "avg_logprob": -0.25405092003904745, "compression_ratio": 1.7191780821917808, "no_speech_prob": 0.0, "words": [{"start": 1530.46, "end": 1530.98, "word": "قال", "probability": 0.54638671875}, {"start": 1530.98, "end": 1531.48, "word": " يبقى", "probability": 0.8323974609375}, {"start": 1531.48, "end": 1532.42, "word": " يتكامل", "probability": 0.83017578125}, {"start": 1532.42, "end": 1533.14, "word": " نجي", "probability": 0.6350911458333334}, {"start": 1533.14, "end": 1533.26, "word": " ل", "probability": 0.8076171875}, {"start": 1533.26, "end": 1533.68, "word": " سكت", "probability": 0.51220703125}, {"start": 1533.68, "end": 1533.94, "word": " تربية", "probability": 0.66796875}, {"start": 1533.94, "end": 1534.68, "word": " بقولي", "probability": 0.6099853515625}, {"start": 1534.68, "end": 1535.54, "word": " لو", "probability": 0.57763671875}, {"start": 1535.54, "end": 1536.52, "word": " حطناها", "probability": 0.8707275390625}, {"start": 1536.52, "end": 1537.24, "word": " واحد", "probability": 0.934326171875}, {"start": 1537.24, "end": 1537.76, "word": " زائد", "probability": 0.8408203125}, {"start": 1537.76, "end": 1538.06, "word": " تان", "probability": 0.970458984375}, {"start": 1538.06, "end": 1538.64, "word": " تربية", "probability": 0.96142578125}, {"start": 1538.64, "end": 1539.68, "word": " بنتخلص", "probability": 0.909375}, {"start": 1539.68, "end": 1539.96, "word": " من", "probability": 0.96240234375}, {"start": 1539.96, "end": 1541.98, "word": " المقام", "probability": 0.7516276041666666}, {"start": 1541.98, "end": 1542.72, "word": " وإذا", "probability": 0.7001139322916666}, {"start": 1542.72, "end": 1543.34, "word": " اتخلصنا", "probability": 0.903564453125}, {"start": 1543.34, "end": 1543.76, "word": " المقام", "probability": 0.9523111979166666}, {"start": 1543.76, "end": 1544.12, "word": " تصير", "probability": 0.7859700520833334}, {"start": 1544.12, "end": 1545.26, "word": " المسألة", "probability": 0.9576416015625}, {"start": 1545.26, "end": 1546.0, "word": " أسهل", "probability": 0.9718017578125}, {"start": 1546.0, "end": 1546.6, "word": " كتير", "probability": 0.90478515625}, {"start": 1546.6, "end": 1547.7, "word": " بقوله", "probability": 0.7342122395833334}, {"start": 1547.7, "end": 1548.36, "word": " كيف؟", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 69, "seek": 156866, "start": 1548.38, "end": 1568.66, "text": "يقول له هذه سكة تربيه فانا اضافها واحد زائد تان تربيه على الاكس وهذه سكة الاكس وهذا كله على تان الاكس كله كلام سليم مائة بالمائة يبقى هذا بده يساوي تكامل واحد على تان", "tokens": [1829, 39648, 46740, 29538, 8608, 4117, 3660, 6055, 2288, 21292, 3224, 6156, 7649, 995, 1975, 11242, 31845, 11296, 36764, 24401, 30767, 16373, 3215, 6055, 7649, 6055, 2288, 21292, 3224, 15844, 42963, 4117, 3794, 37037, 24192, 8608, 4117, 3660, 42963, 4117, 3794, 37037, 15730, 28242, 3224, 15844, 6055, 7649, 42963, 4117, 3794, 28242, 3224, 28242, 10943, 8608, 20292, 2304, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3794, 995, 45865, 6055, 4117, 10943, 1211, 36764, 24401, 15844, 6055, 7649], "avg_logprob": -0.36282703626987545, "compression_ratio": 1.9671052631578947, "no_speech_prob": 0.0, "words": [{"start": 1548.38, "end": 1548.96, "word": "يقول", "probability": 0.342681884765625}, {"start": 1548.96, "end": 1549.12, "word": " له", "probability": 0.371826171875}, {"start": 1549.12, "end": 1549.5, "word": " هذه", "probability": 0.5068359375}, {"start": 1549.5, "end": 1549.98, "word": " سكة", "probability": 0.5888671875}, {"start": 1549.98, "end": 1550.28, "word": " تربيه", "probability": 0.7269287109375}, {"start": 1550.28, "end": 1550.48, "word": " فانا", "probability": 0.3837890625}, {"start": 1550.48, "end": 1550.92, "word": " اضافها", "probability": 0.60552978515625}, {"start": 1550.92, "end": 1551.58, "word": " واحد", "probability": 0.882568359375}, {"start": 1551.58, "end": 1552.38, "word": " زائد", "probability": 0.8426106770833334}, {"start": 1552.38, "end": 1552.9, "word": " تان", "probability": 0.968994140625}, {"start": 1552.9, "end": 1553.9, "word": " تربيه", "probability": 0.952880859375}, {"start": 1553.9, "end": 1554.1, "word": " على", "probability": 0.3984375}, {"start": 1554.1, "end": 1554.4, "word": " الاكس", "probability": 0.7493489583333334}, {"start": 1554.4, "end": 1556.62, "word": " وهذه", "probability": 0.3470458984375}, {"start": 1556.62, "end": 1557.42, "word": " سكة", "probability": 0.88720703125}, {"start": 1557.42, "end": 1558.0, "word": " الاكس", "probability": 0.9044596354166666}, {"start": 1558.0, "end": 1558.72, "word": " وهذا", "probability": 0.785888671875}, {"start": 1558.72, "end": 1559.32, "word": " كله", "probability": 0.85595703125}, {"start": 1559.32, "end": 1559.7, "word": " على", "probability": 0.701171875}, {"start": 1559.7, "end": 1560.4, "word": " تان", "probability": 0.957763671875}, {"start": 1560.4, "end": 1561.2, "word": " الاكس", "probability": 0.9700520833333334}, {"start": 1561.2, "end": 1562.06, "word": " كله", "probability": 0.30126953125}, {"start": 1562.06, "end": 1562.5, "word": " كلام", "probability": 0.90087890625}, {"start": 1562.5, "end": 1562.96, "word": " سليم", "probability": 0.8751627604166666}, {"start": 1562.96, "end": 1563.28, "word": " مائة", "probability": 0.8033854166666666}, {"start": 1563.28, "end": 1563.88, "word": " بالمائة", "probability": 0.9571533203125}, {"start": 1563.88, "end": 1564.86, "word": " يبقى", "probability": 0.864990234375}, {"start": 1564.86, "end": 1565.2, "word": " هذا", "probability": 0.90576171875}, {"start": 1565.2, "end": 1565.6, "word": " بده", "probability": 0.47747802734375}, {"start": 1565.6, "end": 1566.02, "word": " يساوي", "probability": 0.79437255859375}, {"start": 1566.02, "end": 1566.8, "word": " تكامل", "probability": 0.9708251953125}, {"start": 1566.8, "end": 1567.52, "word": " واحد", "probability": 0.93896484375}, {"start": 1567.52, "end": 1567.86, "word": " على", "probability": 0.7958984375}, {"start": 1567.86, "end": 1568.66, "word": " تان", "probability": 0.973388671875}], "temperature": 1.0}, {"id": 70, "seek": 158268, "start": 1569.78, "end": 1582.68, "text": "مجداش؟ كتان ال X زائد تان تربيه على تان بتان ال X كل هذا في مين؟ في سك ال X في DX", "tokens": [2304, 7435, 3215, 33599, 22807, 9122, 2655, 7649, 2423, 1783, 30767, 16373, 3215, 6055, 7649, 6055, 2288, 21292, 3224, 15844, 6055, 7649, 39894, 7649, 2423, 1783, 28242, 23758, 8978, 3714, 9957, 22807, 8978, 8608, 4117, 2423, 1783, 8978, 48817], "avg_logprob": -0.2716796971857548, "compression_ratio": 1.431578947368421, "no_speech_prob": 0.0, "words": [{"start": 1569.7799999999997, "end": 1570.6599999999999, "word": "مجداش؟", "probability": 0.612744140625}, {"start": 1570.6599999999999, "end": 1571.54, "word": " كتان", "probability": 0.94482421875}, {"start": 1571.54, "end": 1571.78, "word": " ال", "probability": 0.9052734375}, {"start": 1571.78, "end": 1572.18, "word": " X", "probability": 0.70556640625}, {"start": 1572.18, "end": 1573.44, "word": " زائد", "probability": 0.8204752604166666}, {"start": 1573.44, "end": 1574.06, "word": " تان", "probability": 0.85888671875}, {"start": 1574.06, "end": 1574.58, "word": " تربيه", "probability": 0.8231201171875}, {"start": 1574.58, "end": 1574.88, "word": " على", "probability": 0.54931640625}, {"start": 1574.88, "end": 1575.56, "word": " تان", "probability": 0.97900390625}, {"start": 1575.56, "end": 1576.9, "word": " بتان", "probability": 0.58404541015625}, {"start": 1576.9, "end": 1577.16, "word": " ال", "probability": 0.9326171875}, {"start": 1577.16, "end": 1577.52, "word": " X", "probability": 0.982421875}, {"start": 1577.52, "end": 1578.18, "word": " كل", "probability": 0.80810546875}, {"start": 1578.18, "end": 1578.54, "word": " هذا", "probability": 0.471923828125}, {"start": 1578.54, "end": 1578.86, "word": " في", "probability": 0.8759765625}, {"start": 1578.86, "end": 1579.66, "word": " مين؟", "probability": 0.81103515625}, {"start": 1579.66, "end": 1579.96, "word": " في", "probability": 0.87548828125}, {"start": 1579.96, "end": 1580.4, "word": " سك", "probability": 0.861328125}, {"start": 1580.4, "end": 1580.68, "word": " ال", "probability": 0.6650390625}, {"start": 1580.68, "end": 1581.12, "word": " X", "probability": 0.96923828125}, {"start": 1581.12, "end": 1581.52, "word": " في", "probability": 0.9599609375}, {"start": 1581.52, "end": 1582.68, "word": " DX", "probability": 0.884765625}], "temperature": 1.0}, {"id": 71, "seek": 161185, "start": 1585.69, "end": 1611.85, "text": "إن جزي التكامل إلى تكاملين يبقى هذا تكامل لكتان ال X في مين؟ في سك ال X في DX زي التكامل لسك ال X في تان ال X في DX هذا بتدرساه كتان ال X ليه مين؟", "tokens": [28814, 1863, 10874, 11622, 1829, 16712, 4117, 10943, 1211, 30731, 6055, 4117, 10943, 1211, 9957, 7251, 3555, 4587, 7578, 23758, 6055, 4117, 10943, 1211, 5296, 4117, 2655, 7649, 2423, 1783, 8978, 3714, 9957, 22807, 8978, 8608, 4117, 2423, 1783, 8978, 48817, 30767, 1829, 16712, 4117, 10943, 1211, 5296, 3794, 4117, 2423, 1783, 8978, 6055, 7649, 2423, 1783, 8978, 48817, 23758, 39894, 3215, 2288, 3794, 40294, 9122, 2655, 7649, 2423, 1783, 32239, 3224, 3714, 9957, 22807], "avg_logprob": -0.20312499745111717, "compression_ratio": 2.041322314049587, "no_speech_prob": 0.0, "words": [{"start": 1585.69, "end": 1585.99, "word": "إن", "probability": 0.5546875}, {"start": 1585.99, "end": 1586.47, "word": " جزي", "probability": 0.6146647135416666}, {"start": 1586.47, "end": 1587.15, "word": " التكامل", "probability": 0.865234375}, {"start": 1587.15, "end": 1587.45, "word": " إلى", "probability": 0.89697265625}, {"start": 1587.45, "end": 1588.67, "word": " تكاملين", "probability": 0.98251953125}, {"start": 1588.67, "end": 1589.65, "word": " يبقى", "probability": 0.91259765625}, {"start": 1589.65, "end": 1589.99, "word": " هذا", "probability": 0.8134765625}, {"start": 1589.99, "end": 1590.99, "word": " تكامل", "probability": 0.8994140625}, {"start": 1590.99, "end": 1592.23, "word": " لكتان", "probability": 0.87060546875}, {"start": 1592.23, "end": 1592.49, "word": " ال", "probability": 0.892578125}, {"start": 1592.49, "end": 1592.89, "word": " X", "probability": 0.67822265625}, {"start": 1592.89, "end": 1593.53, "word": " في", "probability": 0.84423828125}, {"start": 1593.53, "end": 1594.33, "word": " مين؟", "probability": 0.7427571614583334}, {"start": 1594.33, "end": 1594.57, "word": " في", "probability": 0.95703125}, {"start": 1594.57, "end": 1595.13, "word": " سك", "probability": 0.86181640625}, {"start": 1595.13, "end": 1595.45, "word": " ال", "probability": 0.6123046875}, {"start": 1595.45, "end": 1595.89, "word": " X", "probability": 0.984375}, {"start": 1595.89, "end": 1596.45, "word": " في", "probability": 0.78515625}, {"start": 1596.45, "end": 1597.27, "word": " DX", "probability": 0.8408203125}, {"start": 1597.27, "end": 1598.21, "word": " زي", "probability": 0.964599609375}, {"start": 1598.21, "end": 1599.27, "word": " التكامل", "probability": 0.88671875}, {"start": 1599.27, "end": 1600.37, "word": " لسك", "probability": 0.98779296875}, {"start": 1600.37, "end": 1600.73, "word": " ال", "probability": 0.81787109375}, {"start": 1600.73, "end": 1601.19, "word": " X", "probability": 0.99365234375}, {"start": 1601.19, "end": 1601.75, "word": " في", "probability": 0.9423828125}, {"start": 1601.75, "end": 1602.23, "word": " تان", "probability": 0.97998046875}, {"start": 1602.23, "end": 1602.49, "word": " ال", "probability": 0.8662109375}, {"start": 1602.49, "end": 1603.05, "word": " X", "probability": 0.99609375}, {"start": 1603.05, "end": 1603.57, "word": " في", "probability": 0.97314453125}, {"start": 1603.57, "end": 1604.63, "word": " DX", "probability": 0.6611328125}, {"start": 1604.63, "end": 1606.09, "word": " هذا", "probability": 0.84814453125}, {"start": 1606.09, "end": 1607.13, "word": " بتدرساه", "probability": 0.67373046875}, {"start": 1607.13, "end": 1609.71, "word": " كتان", "probability": 0.790283203125}, {"start": 1609.71, "end": 1609.95, "word": " ال", "probability": 0.9150390625}, {"start": 1609.95, "end": 1610.39, "word": " X", "probability": 0.990234375}, {"start": 1610.39, "end": 1611.19, "word": " ليه", "probability": 0.7763671875}, {"start": 1611.19, "end": 1611.85, "word": " مين؟", "probability": 0.97021484375}], "temperature": 1.0}, {"id": 72, "seek": 164122, "start": 1612.52, "end": 1641.22, "text": "كوصين على صين و سك ال X واحد على كوصين يبقى تكامل لكوصين ال X على صين ال X وهذه واحد على كوصين ال X DX زي تكامل سك ال X تاني ال X في DX نقول الله كويس كوصين مع كوصين الله يسهل عليها ضال قداش واحد على صين اللي مقلب من", "tokens": [4117, 2407, 9381, 9957, 15844, 20328, 9957, 4032, 8608, 4117, 2423, 1783, 36764, 24401, 15844, 9122, 2407, 9381, 9957, 7251, 3555, 4587, 7578, 6055, 4117, 10943, 1211, 5296, 4117, 2407, 9381, 9957, 2423, 1783, 15844, 20328, 9957, 2423, 1783, 37037, 24192, 36764, 24401, 15844, 9122, 2407, 9381, 9957, 2423, 1783, 48817, 30767, 1829, 6055, 4117, 10943, 1211, 8608, 4117, 2423, 1783, 6055, 7649, 1829, 2423, 1783, 8978, 48817, 8717, 39648, 21984, 9122, 45865, 3794, 9122, 2407, 9381, 9957, 20449, 9122, 2407, 9381, 9957, 21984, 7251, 3794, 3224, 1211, 25894, 11296, 48812, 6027, 12174, 3215, 33599, 36764, 24401, 15844, 20328, 9957, 13672, 1829, 3714, 4587, 46152, 9154], "avg_logprob": -0.23130841650695444, "compression_ratio": 2.2699386503067487, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1612.52, "end": 1613.62, "word": "كوصين", "probability": 0.4839630126953125}, {"start": 1613.62, "end": 1613.98, "word": " على", "probability": 0.6142578125}, {"start": 1613.98, "end": 1614.56, "word": " صين", "probability": 0.6717529296875}, {"start": 1614.56, "end": 1615.34, "word": " و", "probability": 0.49658203125}, {"start": 1615.34, "end": 1615.84, "word": " سك", "probability": 0.6781005859375}, {"start": 1615.84, "end": 1616.1, "word": " ال", "probability": 0.60400390625}, {"start": 1616.1, "end": 1616.42, "word": " X", "probability": 0.689453125}, {"start": 1616.42, "end": 1617.2, "word": " واحد", "probability": 0.71923828125}, {"start": 1617.2, "end": 1617.4, "word": " على", "probability": 0.78564453125}, {"start": 1617.4, "end": 1618.1, "word": " كوصين", "probability": 0.9410400390625}, {"start": 1618.1, "end": 1619.12, "word": " يبقى", "probability": 0.920166015625}, {"start": 1619.12, "end": 1620.02, "word": " تكامل", "probability": 0.9658203125}, {"start": 1620.02, "end": 1621.1, "word": " لكوصين", "probability": 0.95107421875}, {"start": 1621.1, "end": 1621.42, "word": " ال", "probability": 0.59375}, {"start": 1621.42, "end": 1621.82, "word": " X", "probability": 0.98974609375}, {"start": 1621.82, "end": 1622.28, "word": " على", "probability": 0.8203125}, {"start": 1622.28, "end": 1622.94, "word": " صين", "probability": 0.975830078125}, {"start": 1622.94, "end": 1623.24, "word": " ال", "probability": 0.81982421875}, {"start": 1623.24, "end": 1623.68, "word": " X", "probability": 0.9951171875}, {"start": 1623.68, "end": 1624.6, "word": " وهذه", "probability": 0.734130859375}, {"start": 1624.6, "end": 1625.2, "word": " واحد", "probability": 0.9716796875}, {"start": 1625.2, "end": 1625.54, "word": " على", "probability": 0.763671875}, {"start": 1625.54, "end": 1626.32, "word": " كوصين", "probability": 0.9884033203125}, {"start": 1626.32, "end": 1626.58, "word": " ال", "probability": 0.84716796875}, {"start": 1626.58, "end": 1627.0, "word": " X", "probability": 0.87939453125}, {"start": 1627.0, "end": 1627.46, "word": " DX", "probability": 0.7490234375}, {"start": 1627.46, "end": 1628.54, "word": " زي", "probability": 0.849609375}, {"start": 1628.54, "end": 1629.4, "word": " تكامل", "probability": 0.9007568359375}, {"start": 1629.4, "end": 1629.94, "word": " سك", "probability": 0.968994140625}, {"start": 1629.94, "end": 1630.24, "word": " ال", "probability": 0.6640625}, {"start": 1630.24, "end": 1630.68, "word": " X", "probability": 0.9951171875}, {"start": 1630.68, "end": 1631.34, "word": " تاني", "probability": 0.82275390625}, {"start": 1631.34, "end": 1631.44, "word": " ال", "probability": 0.71044921875}, {"start": 1631.44, "end": 1631.92, "word": " X", "probability": 0.9912109375}, {"start": 1631.92, "end": 1632.14, "word": " في", "probability": 0.9052734375}, {"start": 1632.14, "end": 1632.74, "word": " DX", "probability": 0.99365234375}, {"start": 1632.74, "end": 1633.6, "word": " نقول", "probability": 0.553955078125}, {"start": 1633.6, "end": 1633.94, "word": " الله", "probability": 0.272216796875}, {"start": 1633.94, "end": 1634.48, "word": " كويس", "probability": 0.9694010416666666}, {"start": 1634.48, "end": 1635.0, "word": " كوصين", "probability": 0.9393310546875}, {"start": 1635.0, "end": 1635.2, "word": " مع", "probability": 0.96240234375}, {"start": 1635.2, "end": 1635.64, "word": " كوصين", "probability": 0.9755859375}, {"start": 1635.64, "end": 1635.82, "word": " الله", "probability": 0.92041015625}, {"start": 1635.82, "end": 1636.26, "word": " يسهل", "probability": 0.9898681640625}, {"start": 1636.26, "end": 1636.58, "word": " عليها", "probability": 0.96533203125}, {"start": 1636.58, "end": 1636.82, "word": " ضال", "probability": 0.474365234375}, {"start": 1636.82, "end": 1637.44, "word": " قداش", "probability": 0.5966796875}, {"start": 1637.44, "end": 1638.78, "word": " واحد", "probability": 0.89794921875}, {"start": 1638.78, "end": 1639.08, "word": " على", "probability": 0.890625}, {"start": 1639.08, "end": 1639.74, "word": " صين", "probability": 0.888916015625}, {"start": 1639.74, "end": 1640.08, "word": " اللي", "probability": 0.767822265625}, {"start": 1640.08, "end": 1640.72, "word": " مقلب", "probability": 0.75537109375}, {"start": 1640.72, "end": 1641.22, "word": " من", "probability": 0.9873046875}], "temperature": 1.0}, {"id": 73, "seek": 167127, "start": 1642.53, "end": 1671.27, "text": "الكوسيكنت ال X DX زائد تكامل لسك ال X تاني ال X DX أظن كل واحدة فيهم ال standard اللي أصيها معروفة قبل ما نبدأ ال chapter هذا حطيناهم لك القواعد هذه التي سابقة دراستها فتكامل السك لم absolute value لكوسيكنت ال X ناقص كتاني ال X", "tokens": [6027, 4117, 41779, 1829, 4117, 29399, 2423, 1783, 48817, 30767, 16373, 3215, 6055, 4117, 10943, 1211, 5296, 3794, 4117, 2423, 1783, 6055, 7649, 1829, 2423, 1783, 48817, 5551, 19913, 1863, 28242, 36764, 24401, 3660, 8978, 16095, 2423, 3832, 13672, 1829, 5551, 9381, 1829, 11296, 20449, 32887, 5172, 3660, 12174, 36150, 19446, 8717, 44510, 10721, 2423, 7187, 23758, 11331, 9566, 1829, 8315, 16095, 5296, 4117, 25062, 14407, 22488, 29538, 38392, 8608, 16758, 28671, 11778, 23557, 3794, 2655, 11296, 6156, 2655, 4117, 10943, 1211, 21136, 4117, 32767, 8236, 2158, 5296, 4117, 41779, 1829, 4117, 29399, 2423, 1783, 8717, 995, 4587, 9381, 9122, 2655, 7649, 1829, 2423, 1783], "avg_logprob": -0.2449882058602459, "compression_ratio": 1.65625, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1642.53, "end": 1643.61, "word": "الكوسيكنت", "probability": 0.5035196940104166}, {"start": 1643.61, "end": 1643.93, "word": " ال", "probability": 0.473876953125}, {"start": 1643.93, "end": 1644.43, "word": " X", "probability": 0.6337890625}, {"start": 1644.43, "end": 1645.27, "word": " DX", "probability": 0.8623046875}, {"start": 1645.27, "end": 1646.55, "word": " زائد", "probability": 0.7972005208333334}, {"start": 1646.55, "end": 1647.83, "word": " تكامل", "probability": 0.9786376953125}, {"start": 1647.83, "end": 1648.61, "word": " لسك", "probability": 0.9298502604166666}, {"start": 1648.61, "end": 1648.93, "word": " ال", "probability": 0.385986328125}, {"start": 1648.93, "end": 1649.37, "word": " X", "probability": 0.9921875}, {"start": 1649.37, "end": 1650.09, "word": " تاني", "probability": 0.8704427083333334}, {"start": 1650.09, "end": 1650.25, "word": " ال", "probability": 0.75390625}, {"start": 1650.25, "end": 1650.73, "word": " X", "probability": 0.98828125}, {"start": 1650.73, "end": 1651.45, "word": " DX", "probability": 0.9892578125}, {"start": 1651.45, "end": 1652.31, "word": " أظن", "probability": 0.750732421875}, {"start": 1652.31, "end": 1652.55, "word": " كل", "probability": 0.9580078125}, {"start": 1652.55, "end": 1652.93, "word": " واحدة", "probability": 0.97998046875}, {"start": 1652.93, "end": 1653.25, "word": " فيهم", "probability": 0.970458984375}, {"start": 1653.25, "end": 1653.49, "word": " ال", "probability": 0.378662109375}, {"start": 1653.49, "end": 1654.07, "word": " standard", "probability": 0.82080078125}, {"start": 1654.07, "end": 1654.41, "word": " اللي", "probability": 0.7308349609375}, {"start": 1654.41, "end": 1654.89, "word": " أصيها", "probability": 0.5124969482421875}, {"start": 1654.89, "end": 1655.71, "word": " معروفة", "probability": 0.9671630859375}, {"start": 1655.71, "end": 1656.31, "word": " قبل", "probability": 0.834716796875}, {"start": 1656.31, "end": 1656.45, "word": " ما", "probability": 0.8349609375}, {"start": 1656.45, "end": 1656.79, "word": " نبدأ", "probability": 0.9739583333333334}, {"start": 1656.79, "end": 1656.93, "word": " ال", "probability": 0.303955078125}, {"start": 1656.93, "end": 1657.15, "word": " chapter", "probability": 0.9345703125}, {"start": 1657.15, "end": 1657.71, "word": " هذا", "probability": 0.8525390625}, {"start": 1657.71, "end": 1658.65, "word": " حطيناهم", "probability": 0.644580078125}, {"start": 1658.65, "end": 1658.85, "word": " لك", "probability": 0.7255859375}, {"start": 1658.85, "end": 1659.45, "word": " القواعد", "probability": 0.96875}, {"start": 1659.45, "end": 1659.71, "word": " هذه", "probability": 0.890625}, {"start": 1659.71, "end": 1660.03, "word": " التي", "probability": 0.66650390625}, {"start": 1660.03, "end": 1660.57, "word": " سابقة", "probability": 0.7854817708333334}, {"start": 1660.57, "end": 1661.53, "word": " دراستها", "probability": 0.809716796875}, {"start": 1661.53, "end": 1662.71, "word": " فتكامل", "probability": 0.9708984375}, {"start": 1662.71, "end": 1663.41, "word": " السك", "probability": 0.92041015625}, {"start": 1663.41, "end": 1664.59, "word": " لم", "probability": 0.63037109375}, {"start": 1664.59, "end": 1665.69, "word": " absolute", "probability": 0.83349609375}, {"start": 1665.69, "end": 1666.69, "word": " value", "probability": 0.99169921875}, {"start": 1666.69, "end": 1668.15, "word": " لكوسيكنت", "probability": 0.916259765625}, {"start": 1668.15, "end": 1668.51, "word": " ال", "probability": 0.79443359375}, {"start": 1668.51, "end": 1668.93, "word": " X", "probability": 0.98974609375}, {"start": 1668.93, "end": 1670.17, "word": " ناقص", "probability": 0.9766845703125}, {"start": 1670.17, "end": 1670.95, "word": " كتاني", "probability": 0.966552734375}, {"start": 1670.95, "end": 1671.05, "word": " ال", "probability": 0.74267578125}, {"start": 1671.05, "end": 1671.27, "word": " X", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 74, "seek": 169484, "start": 1671.38, "end": 1694.84, "text": "أو سالب برة وجوه كثيكان زائد كتان سواء هذي والله هذي بتفرقش عنها زائد جداش هذي تكامل سكتان اللي هو بسك ال X زائد كنصة C لحد هنا انتهى هذا ال section وإليك أرقام المسائل", "tokens": [10721, 2407, 8608, 6027, 3555, 4724, 25720, 49610, 2407, 3224, 9122, 12984, 1829, 41361, 30767, 16373, 3215, 9122, 2655, 7649, 8608, 2407, 16606, 8032, 8848, 1829, 16070, 43761, 8032, 8848, 1829, 39894, 5172, 2288, 4587, 8592, 18871, 11296, 30767, 16373, 3215, 10874, 3215, 33599, 8032, 8848, 1829, 6055, 4117, 10943, 1211, 8608, 4117, 2655, 7649, 13672, 1829, 31439, 4724, 3794, 4117, 2423, 1783, 30767, 16373, 3215, 9122, 1863, 9381, 3660, 383, 5296, 24401, 34105, 16472, 47395, 7578, 23758, 2423, 3541, 4032, 28814, 20292, 4117, 5551, 2288, 4587, 10943, 9673, 3794, 16373, 1211], "avg_logprob": -0.23723118151387862, "compression_ratio": 1.6187845303867403, "no_speech_prob": 0.0, "words": [{"start": 1671.38, "end": 1671.88, "word": "أو", "probability": 0.7607421875}, {"start": 1671.88, "end": 1673.08, "word": " سالب", "probability": 0.7176106770833334}, {"start": 1673.08, "end": 1673.58, "word": " برة", "probability": 0.805419921875}, {"start": 1673.58, "end": 1674.36, "word": " وجوه", "probability": 0.6114095052083334}, {"start": 1674.36, "end": 1674.96, "word": " كثيكان", "probability": 0.66448974609375}, {"start": 1674.96, "end": 1675.42, "word": " زائد", "probability": 0.9168294270833334}, {"start": 1675.42, "end": 1675.98, "word": " كتان", "probability": 0.9817708333333334}, {"start": 1675.98, "end": 1676.58, "word": " سواء", "probability": 0.726318359375}, {"start": 1676.58, "end": 1676.88, "word": " هذي", "probability": 0.5537109375}, {"start": 1676.88, "end": 1677.16, "word": " والله", "probability": 0.39093017578125}, {"start": 1677.16, "end": 1677.34, "word": " هذي", "probability": 0.8528645833333334}, {"start": 1677.34, "end": 1677.84, "word": " بتفرقش", "probability": 0.82265625}, {"start": 1677.84, "end": 1678.26, "word": " عنها", "probability": 0.77490234375}, {"start": 1678.26, "end": 1679.68, "word": " زائد", "probability": 0.9430338541666666}, {"start": 1679.68, "end": 1680.72, "word": " جداش", "probability": 0.7682291666666666}, {"start": 1680.72, "end": 1681.2, "word": " هذي", "probability": 0.8074544270833334}, {"start": 1681.2, "end": 1681.94, "word": " تكامل", "probability": 0.9818115234375}, {"start": 1681.94, "end": 1682.84, "word": " سكتان", "probability": 0.9400634765625}, {"start": 1682.84, "end": 1683.48, "word": " اللي", "probability": 0.93115234375}, {"start": 1683.48, "end": 1683.72, "word": " هو", "probability": 0.9892578125}, {"start": 1683.72, "end": 1684.38, "word": " بسك", "probability": 0.7867838541666666}, {"start": 1684.38, "end": 1684.66, "word": " ال", "probability": 0.7578125}, {"start": 1684.66, "end": 1685.06, "word": " X", "probability": 0.69873046875}, {"start": 1685.06, "end": 1686.32, "word": " زائد", "probability": 0.9781901041666666}, {"start": 1686.32, "end": 1687.14, "word": " كنصة", "probability": 0.5623779296875}, {"start": 1687.14, "end": 1687.74, "word": " C", "probability": 0.59619140625}, {"start": 1687.74, "end": 1689.58, "word": " لحد", "probability": 0.94873046875}, {"start": 1689.58, "end": 1689.84, "word": " هنا", "probability": 0.8994140625}, {"start": 1689.84, "end": 1690.94, "word": " انتهى", "probability": 0.8518880208333334}, {"start": 1690.94, "end": 1691.3, "word": " هذا", "probability": 0.91552734375}, {"start": 1691.3, "end": 1691.42, "word": " ال", "probability": 0.87255859375}, {"start": 1691.42, "end": 1691.92, "word": " section", "probability": 0.8408203125}, {"start": 1691.92, "end": 1693.08, "word": " وإليك", "probability": 0.8441162109375}, {"start": 1693.08, "end": 1693.7, "word": " أرقام", "probability": 0.986572265625}, {"start": 1693.7, "end": 1694.84, "word": " المسائل", "probability": 0.9293212890625}], "temperature": 1.0}, {"id": 75, "seek": 172128, "start": 1695.16, "end": 1721.28, "text": "من سيكشن تمانية اتنين exercises تمانية اتنين المسائل من واحد الى تمانية وستين اللي هي multiple of three طيب لحد الآن أخدنا من هذا ال chapter كام section", "tokens": [27842, 8608, 1829, 4117, 8592, 1863, 46811, 7649, 10632, 1975, 2655, 1863, 9957, 11900, 46811, 7649, 10632, 1975, 2655, 1863, 9957, 9673, 3794, 16373, 1211, 9154, 36764, 24401, 2423, 7578, 46811, 7649, 10632, 4032, 14851, 9957, 13672, 1829, 39896, 3866, 295, 1045, 23032, 1829, 3555, 5296, 24401, 6024, 48506, 5551, 9778, 3215, 8315, 9154, 23758, 2423, 7187, 9122, 10943, 3541], "avg_logprob": -0.2927766276187584, "compression_ratio": 1.551948051948052, "no_speech_prob": 0.0, "words": [{"start": 1695.16, "end": 1695.48, "word": "من", "probability": 0.1763916015625}, {"start": 1695.48, "end": 1696.2, "word": " سيكشن", "probability": 0.686181640625}, {"start": 1696.2, "end": 1697.18, "word": " تمانية", "probability": 0.8802083333333334}, {"start": 1697.18, "end": 1698.24, "word": " اتنين", "probability": 0.93310546875}, {"start": 1698.24, "end": 1699.56, "word": " exercises", "probability": 0.0758056640625}, {"start": 1699.56, "end": 1700.36, "word": " تمانية", "probability": 0.9869791666666666}, {"start": 1700.36, "end": 1701.2, "word": " اتنين", "probability": 0.9814453125}, {"start": 1701.2, "end": 1702.72, "word": " المسائل", "probability": 0.8939208984375}, {"start": 1702.72, "end": 1703.3, "word": " من", "probability": 0.96142578125}, {"start": 1703.3, "end": 1704.04, "word": " واحد", "probability": 0.981201171875}, {"start": 1704.04, "end": 1704.62, "word": " الى", "probability": 0.76123046875}, {"start": 1704.62, "end": 1705.56, "word": " تمانية", "probability": 0.9694010416666666}, {"start": 1705.56, "end": 1707.18, "word": " وستين", "probability": 0.9265950520833334}, {"start": 1707.18, "end": 1707.92, "word": " اللي", "probability": 0.4559326171875}, {"start": 1707.92, "end": 1708.14, "word": " هي", "probability": 0.8076171875}, {"start": 1708.14, "end": 1709.08, "word": " multiple", "probability": 0.67333984375}, {"start": 1709.08, "end": 1713.0, "word": " of", "probability": 0.85205078125}, {"start": 1713.0, "end": 1714.04, "word": " three", "probability": 0.80224609375}, {"start": 1714.04, "end": 1716.76, "word": " طيب", "probability": 0.9005533854166666}, {"start": 1716.76, "end": 1717.48, "word": " لحد", "probability": 0.8017578125}, {"start": 1717.48, "end": 1718.2, "word": " الآن", "probability": 0.542694091796875}, {"start": 1718.2, "end": 1719.4, "word": " أخدنا", "probability": 0.8653564453125}, {"start": 1719.4, "end": 1719.62, "word": " من", "probability": 0.98828125}, {"start": 1719.62, "end": 1720.04, "word": " هذا", "probability": 0.962890625}, {"start": 1720.04, "end": 1720.2, "word": " ال", "probability": 0.5537109375}, {"start": 1720.2, "end": 1720.52, "word": " chapter", "probability": 0.85546875}, {"start": 1720.52, "end": 1720.9, "word": " كام", "probability": 0.889892578125}, {"start": 1720.9, "end": 1721.28, "word": " section", "probability": 0.59619140625}], "temperature": 1.0}, {"id": 76, "seek": 173320, "start": 1722.68, "end": 1733.2, "text": "سكشينين لحد هنا داخل في الامتحان الأول يبقى بس تمانية واحد و تمانية اتنين", "tokens": [3794, 4117, 8592, 9957, 9957, 5296, 24401, 34105, 11778, 47283, 1211, 8978, 2423, 10943, 2655, 5016, 7649, 16247, 12610, 7251, 3555, 4587, 7578, 4724, 3794, 46811, 7649, 10632, 36764, 24401, 4032, 46811, 7649, 10632, 1975, 2655, 1863, 9957], "avg_logprob": -0.1558493597385211, "compression_ratio": 1.4301075268817205, "no_speech_prob": 0.0, "words": [{"start": 1722.68, "end": 1723.9, "word": "سكشينين", "probability": 0.5697265625}, {"start": 1723.9, "end": 1725.06, "word": " لحد", "probability": 0.841796875}, {"start": 1725.06, "end": 1725.44, "word": " هنا", "probability": 0.982421875}, {"start": 1725.44, "end": 1726.02, "word": " داخل", "probability": 0.9757486979166666}, {"start": 1726.02, "end": 1726.16, "word": " في", "probability": 0.90673828125}, {"start": 1726.16, "end": 1726.9, "word": " الامتحان", "probability": 0.96337890625}, {"start": 1726.9, "end": 1727.68, "word": " الأول", "probability": 0.8974609375}, {"start": 1727.68, "end": 1729.4, "word": " يبقى", "probability": 0.96728515625}, {"start": 1729.4, "end": 1729.66, "word": " بس", "probability": 0.969482421875}, {"start": 1729.66, "end": 1730.18, "word": " تمانية", "probability": 0.8175455729166666}, {"start": 1730.18, "end": 1730.82, "word": " واحد", "probability": 0.9853515625}, {"start": 1730.82, "end": 1731.5, "word": " و", "probability": 0.66748046875}, {"start": 1731.5, "end": 1732.4, "word": " تمانية", "probability": 0.953125}, {"start": 1732.4, "end": 1733.2, "word": " اتنين", "probability": 0.9486083984375}], "temperature": 1.0}, {"id": 77, "seek": 175296, "start": 1735.12, "end": 1752.96, "text": "وبالتالي على الأقل جيك في الامتحان تكاملين حلق للامتحان يوم الثلاثاء بعد القادم طيب ال section اللي فات هذا ال trigonometric integrals", "tokens": [37746, 6027, 2655, 6027, 1829, 15844, 16247, 4587, 1211, 10874, 1829, 4117, 8978, 2423, 10943, 2655, 5016, 7649, 6055, 4117, 10943, 1211, 9957, 11331, 1211, 4587, 24976, 10943, 2655, 5016, 7649, 7251, 20498, 6024, 104, 1211, 5718, 104, 16606, 39182, 25062, 18513, 2304, 23032, 1829, 3555, 2423, 3541, 13672, 1829, 6156, 9307, 23758, 2423, 35386, 266, 29470, 3572, 1124], "avg_logprob": -0.15664061829447745, "compression_ratio": 1.4437086092715232, "no_speech_prob": 0.0, "words": [{"start": 1735.12, "end": 1736.48, "word": "وبالتالي", "probability": 0.910546875}, {"start": 1736.48, "end": 1737.5, "word": " على", "probability": 0.85302734375}, {"start": 1737.5, "end": 1738.62, "word": " الأقل", "probability": 0.96826171875}, {"start": 1738.62, "end": 1739.84, "word": " جيك", "probability": 0.6845703125}, {"start": 1739.84, "end": 1739.98, "word": " في", "probability": 0.94140625}, {"start": 1739.98, "end": 1740.8, "word": " الامتحان", "probability": 0.961328125}, {"start": 1740.8, "end": 1742.32, "word": " تكاملين", "probability": 0.9791015625}, {"start": 1742.32, "end": 1743.18, "word": " حلق", "probability": 0.64697265625}, {"start": 1743.18, "end": 1744.2, "word": " للامتحان", "probability": 0.91845703125}, {"start": 1744.2, "end": 1744.98, "word": " يوم", "probability": 0.982666015625}, {"start": 1744.98, "end": 1746.1, "word": " الثلاثاء", "probability": 0.931640625}, {"start": 1746.1, "end": 1746.86, "word": " بعد", "probability": 0.90869140625}, {"start": 1746.86, "end": 1748.22, "word": " القادم", "probability": 0.97314453125}, {"start": 1748.22, "end": 1748.98, "word": " طيب", "probability": 0.7511393229166666}, {"start": 1748.98, "end": 1749.82, "word": " ال", "probability": 0.8916015625}, {"start": 1749.82, "end": 1750.14, "word": " section", "probability": 0.8837890625}, {"start": 1750.14, "end": 1750.38, "word": " اللي", "probability": 0.857666015625}, {"start": 1750.38, "end": 1750.64, "word": " فات", "probability": 0.986328125}, {"start": 1750.64, "end": 1750.92, "word": " هذا", "probability": 0.74267578125}, {"start": 1750.92, "end": 1751.06, "word": " ال", "probability": 0.4814453125}, {"start": 1751.06, "end": 1751.9, "word": " trigonometric", "probability": 0.8040364583333334}, {"start": 1751.9, "end": 1752.96, "word": " integrals", "probability": 0.7021484375}], "temperature": 1.0}, {"id": 78, "seek": 177273, "start": 1753.51, "end": 1772.73, "text": "يبقى التكاملات المجتملة على دوايا مثلثية section 883 بجرابلو يبقى اسمه trigonometric substitution يبقى بنجي ل 883", "tokens": [1829, 3555, 4587, 7578, 16712, 4117, 10943, 1211, 9307, 9673, 7435, 39237, 37977, 15844, 11778, 14407, 25528, 50113, 1211, 12984, 10632, 3541, 24587, 18, 4724, 7435, 2288, 16758, 1211, 2407, 7251, 3555, 4587, 7578, 24525, 2304, 3224, 35386, 266, 29470, 35827, 7251, 3555, 4587, 7578, 44945, 7435, 1829, 5296, 24587, 18], "avg_logprob": -0.2817007194344814, "compression_ratio": 1.2835820895522387, "no_speech_prob": 0.0, "words": [{"start": 1753.51, "end": 1753.99, "word": "يبقى", "probability": 0.8033447265625}, {"start": 1753.99, "end": 1755.43, "word": " التكاملات", "probability": 0.9673828125}, {"start": 1755.43, "end": 1756.99, "word": " المجتملة", "probability": 0.967529296875}, {"start": 1756.99, "end": 1757.31, "word": " على", "probability": 0.9423828125}, {"start": 1757.31, "end": 1758.05, "word": " دوايا", "probability": 0.7189127604166666}, {"start": 1758.05, "end": 1759.21, "word": " مثلثية", "probability": 0.80438232421875}, {"start": 1759.21, "end": 1760.05, "word": " section", "probability": 0.31201171875}, {"start": 1760.05, "end": 1761.81, "word": " 883", "probability": 0.45611572265625}, {"start": 1761.81, "end": 1762.99, "word": " بجرابلو", "probability": 0.7682088216145834}, {"start": 1762.99, "end": 1763.85, "word": " يبقى", "probability": 0.942626953125}, {"start": 1763.85, "end": 1764.47, "word": " اسمه", "probability": 0.8995768229166666}, {"start": 1764.47, "end": 1766.03, "word": " trigonometric", "probability": 0.6909993489583334}, {"start": 1766.03, "end": 1768.49, "word": " substitution", "probability": 0.919921875}, {"start": 1768.49, "end": 1770.37, "word": " يبقى", "probability": 0.83123779296875}, {"start": 1770.37, "end": 1770.83, "word": " بنجي", "probability": 0.7267252604166666}, {"start": 1770.83, "end": 1770.97, "word": " ل", "probability": 0.92333984375}, {"start": 1770.97, "end": 1772.73, "word": " 883", "probability": 0.8916015625}], "temperature": 1.0}, {"id": 79, "seek": 178129, "start": 1773.63, "end": 1781.29, "text": "اللي هو trigonometric substitution", "tokens": [6027, 20292, 31439, 35386, 266, 29470, 35827], "avg_logprob": -0.5986327975988388, "compression_ratio": 0.8695652173913043, "no_speech_prob": 0.0, "words": [{"start": 1773.63, "end": 1774.11, "word": "اللي", "probability": 0.39306640625}, {"start": 1774.11, "end": 1774.59, "word": " هو", "probability": 0.978515625}, {"start": 1774.59, "end": 1778.71, "word": " trigonometric", "probability": 0.5378824869791666}, {"start": 1778.71, "end": 1781.29, "word": " substitution", "probability": 0.953125}], "temperature": 1.0}, {"id": 80, "seek": 180508, "start": 1787.94, "end": 1805.08, "text": "أيش يعني Trigonometric Substitution؟ يبقى التكامل بالتعويض لكن مش حيالة تعويضة وإنما التعويض بدي يكون بدالة مثلثية طب هم كام دالة مثلثية عندنا؟", "tokens": [10721, 1829, 8592, 37495, 22653, 1765, 47578, 29470, 42090, 6518, 22807, 7251, 3555, 4587, 7578, 16712, 4117, 10943, 1211, 20666, 2655, 3615, 45865, 11242, 44381, 37893, 11331, 1829, 6027, 3660, 37279, 45865, 11242, 3660, 4032, 28814, 1863, 15042, 16712, 3615, 45865, 11242, 4724, 16254, 7251, 30544, 47525, 6027, 3660, 50113, 1211, 12984, 10632, 23032, 3555, 8032, 2304, 9122, 10943, 11778, 6027, 3660, 50113, 1211, 12984, 10632, 43242, 8315, 22807], "avg_logprob": -0.20558035586561477, "compression_ratio": 1.5031446540880504, "no_speech_prob": 0.0, "words": [{"start": 1787.94, "end": 1788.52, "word": "أيش", "probability": 0.6309916178385416}, {"start": 1788.52, "end": 1788.7, "word": " يعني", "probability": 0.897216796875}, {"start": 1788.7, "end": 1789.5, "word": " Trigonometric", "probability": 0.6960042317708334}, {"start": 1789.5, "end": 1791.08, "word": " Substitution؟", "probability": 0.8758138020833334}, {"start": 1791.08, "end": 1792.08, "word": " يبقى", "probability": 0.8997802734375}, {"start": 1792.08, "end": 1792.94, "word": " التكامل", "probability": 0.86962890625}, {"start": 1792.94, "end": 1794.2, "word": " بالتعويض", "probability": 0.94248046875}, {"start": 1794.2, "end": 1794.54, "word": " لكن", "probability": 0.677734375}, {"start": 1794.54, "end": 1794.86, "word": " مش", "probability": 0.974609375}, {"start": 1794.86, "end": 1795.32, "word": " حيالة", "probability": 0.78289794921875}, {"start": 1795.32, "end": 1796.24, "word": " تعويضة", "probability": 0.8922119140625}, {"start": 1796.24, "end": 1796.96, "word": " وإنما", "probability": 0.8372802734375}, {"start": 1796.96, "end": 1797.46, "word": " التعويض", "probability": 0.9891357421875}, {"start": 1797.46, "end": 1797.7, "word": " بدي", "probability": 0.664794921875}, {"start": 1797.7, "end": 1798.12, "word": " يكون", "probability": 0.927978515625}, {"start": 1798.12, "end": 1799.18, "word": " بدالة", "probability": 0.91748046875}, {"start": 1799.18, "end": 1800.92, "word": " مثلثية", "probability": 0.9346923828125}, {"start": 1800.92, "end": 1801.72, "word": " طب", "probability": 0.652099609375}, {"start": 1801.72, "end": 1803.08, "word": " هم", "probability": 0.7041015625}, {"start": 1803.08, "end": 1803.36, "word": " كام", "probability": 0.858154296875}, {"start": 1803.36, "end": 1803.68, "word": " دالة", "probability": 0.98486328125}, {"start": 1803.68, "end": 1804.4, "word": " مثلثية", "probability": 0.992919921875}, {"start": 1804.4, "end": 1805.08, "word": " عندنا؟", "probability": 0.9851888020833334}], "temperature": 1.0}, {"id": 81, "seek": 183330, "start": 1806.26, "end": 1833.3, "text": "ست ديال مثلثية، تمام؟ بدنا نعمل ست تعويبات؟ لا يا سيدي، بس تلت تعويبات التلاتة أقولك التانية الأخرى بيوصلوني إلى نفس النتيجة وبالتالي مش بد بالغلبة، بيكفيني التلاتة منهم طيب السؤال هو متى نلجأ إلى التعويض بدالة مثلثية؟", "tokens": [3794, 2655, 11778, 1829, 6027, 3714, 12984, 1211, 12984, 10632, 12399, 46811, 10943, 22807, 47525, 8315, 8717, 25957, 1211, 8608, 2655, 37279, 45865, 3555, 9307, 22807, 20193, 35186, 8608, 1829, 16254, 12399, 4724, 3794, 6055, 1211, 2655, 37279, 45865, 3555, 9307, 16712, 1211, 9307, 3660, 5551, 39648, 4117, 16712, 7649, 10632, 16247, 34740, 7578, 4724, 1829, 2407, 36520, 11536, 1829, 30731, 8717, 36178, 28239, 31371, 7435, 3660, 46599, 6027, 2655, 6027, 1829, 37893, 47525, 20666, 17082, 46152, 3660, 12399, 4724, 1829, 4117, 5172, 9957, 1829, 16712, 1211, 9307, 3660, 9154, 16095, 23032, 1829, 3555, 21136, 33604, 6027, 31439, 44650, 7578, 8717, 1211, 7435, 10721, 30731, 16712, 3615, 45865, 11242, 47525, 6027, 3660, 50113, 1211, 12984, 10632, 22807], "avg_logprob": -0.19954978270550905, "compression_ratio": 1.9368932038834952, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1806.26, "end": 1807.1, "word": "ست", "probability": 0.4951171875}, {"start": 1807.1, "end": 1807.76, "word": " ديال", "probability": 0.7283935546875}, {"start": 1807.76, "end": 1809.3, "word": " مثلثية،", "probability": 0.7246907552083334}, {"start": 1809.3, "end": 1810.18, "word": " تمام؟", "probability": 0.8916015625}, {"start": 1810.18, "end": 1810.64, "word": " بدنا", "probability": 0.543853759765625}, {"start": 1810.64, "end": 1811.08, "word": " نعمل", "probability": 0.9964192708333334}, {"start": 1811.08, "end": 1811.44, "word": " ست", "probability": 0.91259765625}, {"start": 1811.44, "end": 1812.5, "word": " تعويبات؟", "probability": 0.82158203125}, {"start": 1812.5, "end": 1812.68, "word": " لا", "probability": 0.73046875}, {"start": 1812.68, "end": 1812.92, "word": " يا", "probability": 0.9267578125}, {"start": 1812.92, "end": 1813.26, "word": " سيدي،", "probability": 0.877685546875}, {"start": 1813.26, "end": 1813.52, "word": " بس", "probability": 0.9794921875}, {"start": 1813.52, "end": 1813.84, "word": " تلت", "probability": 0.8792317708333334}, {"start": 1813.84, "end": 1814.82, "word": " تعويبات", "probability": 0.9625244140625}, {"start": 1814.82, "end": 1816.02, "word": " التلاتة", "probability": 0.789794921875}, {"start": 1816.02, "end": 1816.6, "word": " أقولك", "probability": 0.5424397786458334}, {"start": 1816.6, "end": 1817.12, "word": " التانية", "probability": 0.7459309895833334}, {"start": 1817.12, "end": 1817.7, "word": " الأخرى", "probability": 0.822265625}, {"start": 1817.7, "end": 1820.3, "word": " بيوصلوني", "probability": 0.88037109375}, {"start": 1820.3, "end": 1820.54, "word": " إلى", "probability": 0.796875}, {"start": 1820.54, "end": 1820.96, "word": " نفس", "probability": 0.99755859375}, {"start": 1820.96, "end": 1821.88, "word": " النتيجة", "probability": 0.96142578125}, {"start": 1821.88, "end": 1822.6, "word": " وبالتالي", "probability": 0.85615234375}, {"start": 1822.6, "end": 1822.74, "word": " مش", "probability": 0.50927734375}, {"start": 1822.74, "end": 1822.92, "word": " بد", "probability": 0.80126953125}, {"start": 1822.92, "end": 1823.68, "word": " بالغلبة،", "probability": 0.841064453125}, {"start": 1823.68, "end": 1824.36, "word": " بيكفيني", "probability": 0.91064453125}, {"start": 1824.36, "end": 1825.18, "word": " التلاتة", "probability": 0.977294921875}, {"start": 1825.18, "end": 1825.7, "word": " منهم", "probability": 0.994384765625}, {"start": 1825.7, "end": 1826.58, "word": " طيب", "probability": 0.849609375}, {"start": 1826.58, "end": 1827.34, "word": " السؤال", "probability": 0.9736328125}, {"start": 1827.34, "end": 1827.68, "word": " هو", "probability": 0.99267578125}, {"start": 1827.68, "end": 1828.9, "word": " متى", "probability": 0.838134765625}, {"start": 1828.9, "end": 1829.74, "word": " نلجأ", "probability": 0.972900390625}, {"start": 1829.74, "end": 1830.04, "word": " إلى", "probability": 0.8916015625}, {"start": 1830.04, "end": 1831.06, "word": " التعويض", "probability": 0.9227294921875}, {"start": 1831.06, "end": 1832.08, "word": " بدالة", "probability": 0.8076171875}, {"start": 1832.08, "end": 1833.3, "word": " مثلثية؟", "probability": 0.94736328125}], "temperature": 1.0}, {"id": 82, "seek": 185822, "start": 1833.64, "end": 1858.22, "text": "عشان نقول في تلت حالات لا رابع عليها تمام؟ بتلت تعويضات تبعتنا هذه بالذاتي هقول النقطة الأولى if the integrand الدلة المراتة كاملها contains اجتملت", "tokens": [3615, 8592, 7649, 8717, 39648, 8978, 6055, 1211, 2655, 11331, 6027, 9307, 20193, 12602, 16758, 3615, 25894, 11296, 46811, 10943, 22807, 39894, 1211, 2655, 37279, 45865, 11242, 9307, 6055, 3555, 34268, 8315, 29538, 20666, 8848, 9307, 1829, 8032, 39648, 28239, 47432, 3660, 16247, 12610, 7578, 498, 264, 16200, 3699, 32748, 37977, 9673, 2288, 9307, 3660, 9122, 10943, 1211, 11296, 8306, 1975, 7435, 39237, 1211, 2655], "avg_logprob": -0.34895834371899115, "compression_ratio": 1.4850299401197604, "no_speech_prob": 0.0, "words": [{"start": 1833.64, "end": 1834.74, "word": "عشان", "probability": 0.5636800130208334}, {"start": 1834.74, "end": 1835.56, "word": " نقول", "probability": 0.684326171875}, {"start": 1835.56, "end": 1835.82, "word": " في", "probability": 0.223876953125}, {"start": 1835.82, "end": 1836.34, "word": " تلت", "probability": 0.7554524739583334}, {"start": 1836.34, "end": 1837.16, "word": " حالات", "probability": 0.9814453125}, {"start": 1837.16, "end": 1837.44, "word": " لا", "probability": 0.429443359375}, {"start": 1837.44, "end": 1837.88, "word": " رابع", "probability": 0.9501953125}, {"start": 1837.88, "end": 1838.76, "word": " عليها", "probability": 0.85791015625}, {"start": 1838.76, "end": 1840.14, "word": " تمام؟", "probability": 0.6805013020833334}, {"start": 1840.14, "end": 1840.74, "word": " بتلت", "probability": 0.6439615885416666}, {"start": 1840.74, "end": 1841.26, "word": " تعويضات", "probability": 0.8466796875}, {"start": 1841.26, "end": 1841.9, "word": " تبعتنا", "probability": 0.8330078125}, {"start": 1841.9, "end": 1842.24, "word": " هذه", "probability": 0.6435546875}, {"start": 1842.24, "end": 1843.36, "word": " بالذاتي", "probability": 0.541229248046875}, {"start": 1843.36, "end": 1843.66, "word": " هقول", "probability": 0.7578125}, {"start": 1843.66, "end": 1844.64, "word": " النقطة", "probability": 0.9130859375}, {"start": 1844.64, "end": 1845.96, "word": " الأولى", "probability": 0.9498697916666666}, {"start": 1845.96, "end": 1846.58, "word": " if", "probability": 0.79248046875}, {"start": 1846.58, "end": 1848.08, "word": " the", "probability": 0.89892578125}, {"start": 1848.08, "end": 1851.02, "word": " integrand", "probability": 0.5601806640625}, {"start": 1851.02, "end": 1852.58, "word": " الدلة", "probability": 0.667236328125}, {"start": 1852.58, "end": 1853.44, "word": " المراتة", "probability": 0.5963134765625}, {"start": 1853.44, "end": 1854.06, "word": " كاملها", "probability": 0.9110107421875}, {"start": 1854.06, "end": 1856.18, "word": " contains", "probability": 0.8037109375}, {"start": 1856.18, "end": 1858.22, "word": " اجتملت", "probability": 0.82314453125}], "temperature": 1.0}, {"id": 83, "seek": 188878, "start": 1860.82, "end": 1888.78, "text": "contains اجتملت الجذر التربية إلى a تربية ناقص x تربية أو بدون جذر a تربية ناقص x تربية أس تربية أس تكيب أس أربعة أس عشرة مش مشكلة جوزه مرفوعة لأس M يعني ال M قد يكون عددا صحيحا وقد يكون كاسريا ما عندنا مشكلة إن حدث ذلك", "tokens": [9000, 2315, 1975, 7435, 39237, 1211, 2655, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 257, 6055, 25513, 10632, 8717, 995, 4587, 9381, 2031, 6055, 25513, 10632, 34051, 47525, 11536, 10874, 8848, 2288, 257, 6055, 25513, 10632, 8717, 995, 4587, 9381, 2031, 6055, 25513, 10632, 5551, 3794, 6055, 25513, 10632, 5551, 3794, 6055, 4117, 1829, 3555, 5551, 3794, 5551, 25513, 27884, 5551, 3794, 6225, 8592, 25720, 37893, 37893, 28820, 3660, 10874, 2407, 11622, 3224, 3714, 28480, 2407, 27884, 5296, 10721, 3794, 376, 37495, 22653, 2423, 376, 12174, 3215, 7251, 30544, 6225, 3215, 28259, 20328, 5016, 1829, 5016, 995, 4032, 28543, 7251, 30544, 9122, 32277, 16572, 995, 19446, 43242, 8315, 37893, 28820, 3660, 36145, 11331, 3215, 12984, 29910, 23275], "avg_logprob": -0.16313559827158006, "compression_ratio": 1.9234693877551021, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1860.8200000000002, "end": 1861.92, "word": "contains", "probability": 0.62841796875}, {"start": 1861.92, "end": 1863.02, "word": " اجتملت", "probability": 0.72568359375}, {"start": 1863.02, "end": 1863.8, "word": " الجذر", "probability": 0.87353515625}, {"start": 1863.8, "end": 1864.68, "word": " التربية", "probability": 0.8277994791666666}, {"start": 1864.68, "end": 1865.08, "word": " إلى", "probability": 0.509765625}, {"start": 1865.08, "end": 1865.44, "word": " a", "probability": 0.4814453125}, {"start": 1865.44, "end": 1866.2, "word": " تربية", "probability": 0.9293619791666666}, {"start": 1866.2, "end": 1867.36, "word": " ناقص", "probability": 0.813720703125}, {"start": 1867.36, "end": 1867.72, "word": " x", "probability": 0.74169921875}, {"start": 1867.72, "end": 1868.28, "word": " تربية", "probability": 0.97802734375}, {"start": 1868.28, "end": 1868.62, "word": " أو", "probability": 0.45751953125}, {"start": 1868.62, "end": 1869.16, "word": " بدون", "probability": 0.98046875}, {"start": 1869.16, "end": 1870.16, "word": " جذر", "probability": 0.9931640625}, {"start": 1870.16, "end": 1870.5, "word": " a", "probability": 0.84521484375}, {"start": 1870.5, "end": 1871.18, "word": " تربية", "probability": 0.9695638020833334}, {"start": 1871.18, "end": 1871.84, "word": " ناقص", "probability": 0.981201171875}, {"start": 1871.84, "end": 1872.22, "word": " x", "probability": 0.9912109375}, {"start": 1872.22, "end": 1872.82, "word": " تربية", "probability": 0.9845377604166666}, {"start": 1872.82, "end": 1873.42, "word": " أس", "probability": 0.630126953125}, {"start": 1873.42, "end": 1874.08, "word": " تربية", "probability": 0.95361328125}, {"start": 1874.08, "end": 1874.42, "word": " أس", "probability": 0.860107421875}, {"start": 1874.42, "end": 1875.08, "word": " تكيب", "probability": 0.8934326171875}, {"start": 1875.08, "end": 1875.34, "word": " أس", "probability": 0.8671875}, {"start": 1875.34, "end": 1875.9, "word": " أربعة", "probability": 0.8196614583333334}, {"start": 1875.9, "end": 1876.2, "word": " أس", "probability": 0.970703125}, {"start": 1876.2, "end": 1876.78, "word": " عشرة", "probability": 0.9396158854166666}, {"start": 1876.78, "end": 1877.38, "word": " مش", "probability": 0.9228515625}, {"start": 1877.38, "end": 1877.92, "word": " مشكلة", "probability": 0.9767252604166666}, {"start": 1877.92, "end": 1878.36, "word": " جوزه", "probability": 0.541748046875}, {"start": 1878.36, "end": 1878.86, "word": " مرفوعة", "probability": 0.8690185546875}, {"start": 1878.86, "end": 1879.44, "word": " لأس", "probability": 0.9479166666666666}, {"start": 1879.44, "end": 1879.76, "word": " M", "probability": 0.59912109375}, {"start": 1879.76, "end": 1880.66, "word": " يعني", "probability": 0.932373046875}, {"start": 1880.66, "end": 1880.84, "word": " ال", "probability": 0.95947265625}, {"start": 1880.84, "end": 1881.1, "word": " M", "probability": 0.74072265625}, {"start": 1881.1, "end": 1881.46, "word": " قد", "probability": 0.99072265625}, {"start": 1881.46, "end": 1881.92, "word": " يكون", "probability": 0.9814453125}, {"start": 1881.92, "end": 1882.5, "word": " عددا", "probability": 0.81884765625}, {"start": 1882.5, "end": 1883.28, "word": " صحيحا", "probability": 0.9599609375}, {"start": 1883.28, "end": 1883.64, "word": " وقد", "probability": 0.88525390625}, {"start": 1883.64, "end": 1884.26, "word": " يكون", "probability": 0.990478515625}, {"start": 1884.26, "end": 1885.8, "word": " كاسريا", "probability": 0.8143310546875}, {"start": 1885.8, "end": 1886.34, "word": " ما", "probability": 0.97265625}, {"start": 1886.34, "end": 1886.74, "word": " عندنا", "probability": 0.82373046875}, {"start": 1886.74, "end": 1887.14, "word": " مشكلة", "probability": 0.9845377604166666}, {"start": 1887.14, "end": 1887.54, "word": " إن", "probability": 0.472900390625}, {"start": 1887.54, "end": 1888.08, "word": " حدث", "probability": 0.9876302083333334}, {"start": 1888.08, "end": 1888.78, "word": " ذلك", "probability": 0.981201171875}], "temperature": 1.0}, {"id": 84, "seek": 191399, "start": 1912.27, "end": 1913.99, "text": "السؤال هو", "tokens": [6027, 3794, 33604, 6027, 31439], "avg_logprob": -0.6077473858992258, "compression_ratio": 0.68, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1912.27, "end": 1913.67, "word": "السؤال", "probability": 0.7038497924804688}, {"start": 1913.67, "end": 1913.99, "word": " هو", "probability": 0.9189453125}], "temperature": 1.0}, {"id": 85, "seek": 192990, "start": 1915.06, "end": 1929.9, "text": "والله خليني اكتب التانية و التالتة و نرجع للتسهولة و خليني اوسع سطرين بينهم نمرة اتنين بيقول ف the integrant contains", "tokens": [2407, 6027, 43761, 16490, 1211, 9957, 1829, 1975, 4117, 2655, 3555, 16712, 7649, 10632, 4032, 16712, 6027, 2655, 3660, 4032, 8717, 47341, 3615, 24976, 2655, 3794, 3224, 12610, 3660, 4032, 16490, 1211, 9957, 1829, 1975, 41779, 3615, 8608, 9566, 2288, 9957, 49374, 16095, 8717, 2304, 25720, 1975, 2655, 1863, 9957, 4724, 1829, 39648, 6156, 264, 3572, 394, 8306], "avg_logprob": -0.3275953531265259, "compression_ratio": 1.4586466165413534, "no_speech_prob": 0.0, "words": [{"start": 1915.06, "end": 1915.42, "word": "والله", "probability": 0.595703125}, {"start": 1915.42, "end": 1915.78, "word": " خليني", "probability": 0.7613525390625}, {"start": 1915.78, "end": 1916.08, "word": " اكتب", "probability": 0.8856201171875}, {"start": 1916.08, "end": 1916.52, "word": " التانية", "probability": 0.8712565104166666}, {"start": 1916.52, "end": 1916.64, "word": " و", "probability": 0.495849609375}, {"start": 1916.64, "end": 1917.02, "word": " التالتة", "probability": 0.942138671875}, {"start": 1917.02, "end": 1917.1, "word": " و", "probability": 0.955078125}, {"start": 1917.1, "end": 1917.44, "word": " نرجع", "probability": 0.6870930989583334}, {"start": 1917.44, "end": 1918.3, "word": " للتسهولة", "probability": 0.7371419270833334}, {"start": 1918.3, "end": 1919.0, "word": " و", "probability": 0.77978515625}, {"start": 1919.0, "end": 1919.52, "word": " خليني", "probability": 0.904052734375}, {"start": 1919.52, "end": 1919.98, "word": " اوسع", "probability": 0.7200520833333334}, {"start": 1919.98, "end": 1920.58, "word": " سطرين", "probability": 0.8294677734375}, {"start": 1920.58, "end": 1921.04, "word": " بينهم", "probability": 0.96826171875}, {"start": 1921.04, "end": 1921.86, "word": " نمرة", "probability": 0.4868977864583333}, {"start": 1921.86, "end": 1922.6, "word": " اتنين", "probability": 0.9111328125}, {"start": 1922.6, "end": 1923.54, "word": " بيقول", "probability": 0.6905110677083334}, {"start": 1923.54, "end": 1924.1, "word": " ف", "probability": 0.28466796875}, {"start": 1924.1, "end": 1925.72, "word": " the", "probability": 0.33935546875}, {"start": 1925.72, "end": 1927.8, "word": " integrant", "probability": 0.615234375}, {"start": 1927.8, "end": 1929.9, "word": " contains", "probability": 0.8857421875}], "temperature": 1.0}, {"id": 86, "seek": 195973, "start": 1932.17, "end": 1959.73, "text": "إذا اجتمعنا على الجذر التربية إلى a تربية زائد x تربية أو ال a تربية زائد x تربية to the power n put حط لل x بدها تساوي a tan theta و ال theta هذه أكبر من سالب pi على اتنين وأقل من pi على اتنين", "tokens": [28814, 15730, 1975, 7435, 39237, 3615, 8315, 15844, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 257, 6055, 25513, 10632, 30767, 16373, 3215, 2031, 6055, 25513, 10632, 34051, 2423, 257, 6055, 25513, 10632, 30767, 16373, 3215, 2031, 6055, 25513, 10632, 281, 264, 1347, 297, 829, 11331, 9566, 24976, 2031, 47525, 11296, 6055, 3794, 995, 45865, 257, 7603, 9725, 4032, 2423, 9725, 29538, 5551, 4117, 26890, 9154, 8608, 6027, 3555, 3895, 15844, 1975, 2655, 1863, 9957, 36725, 4587, 1211, 9154, 3895, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.24889705181121827, "compression_ratio": 1.7777777777777777, "no_speech_prob": 0.0, "words": [{"start": 1932.17, "end": 1932.49, "word": "إذا", "probability": 0.538604736328125}, {"start": 1932.49, "end": 1933.21, "word": " اجتمعنا", "probability": 0.83681640625}, {"start": 1933.21, "end": 1933.99, "word": " على", "probability": 0.884765625}, {"start": 1933.99, "end": 1934.57, "word": " الجذر", "probability": 0.81201171875}, {"start": 1934.57, "end": 1935.23, "word": " التربية", "probability": 0.875}, {"start": 1935.23, "end": 1935.55, "word": " إلى", "probability": 0.359375}, {"start": 1935.55, "end": 1935.75, "word": " a", "probability": 0.5244140625}, {"start": 1935.75, "end": 1936.43, "word": " تربية", "probability": 0.8447265625}, {"start": 1936.43, "end": 1937.11, "word": " زائد", "probability": 0.8317057291666666}, {"start": 1937.11, "end": 1937.47, "word": " x", "probability": 0.92431640625}, {"start": 1937.47, "end": 1938.09, "word": " تربية", "probability": 0.97216796875}, {"start": 1938.09, "end": 1938.59, "word": " أو", "probability": 0.6884765625}, {"start": 1938.59, "end": 1939.33, "word": " ال", "probability": 0.63671875}, {"start": 1939.33, "end": 1939.65, "word": " a", "probability": 0.7080078125}, {"start": 1939.65, "end": 1940.19, "word": " تربية", "probability": 0.97265625}, {"start": 1940.19, "end": 1940.71, "word": " زائد", "probability": 0.88525390625}, {"start": 1940.71, "end": 1941.03, "word": " x", "probability": 0.9892578125}, {"start": 1941.03, "end": 1941.51, "word": " تربية", "probability": 0.98193359375}, {"start": 1941.51, "end": 1941.77, "word": " to", "probability": 0.8876953125}, {"start": 1941.77, "end": 1941.99, "word": " the", "probability": 0.90185546875}, {"start": 1941.99, "end": 1942.61, "word": " power", "probability": 0.9052734375}, {"start": 1942.61, "end": 1943.33, "word": " n", "probability": 0.7470703125}, {"start": 1943.33, "end": 1944.57, "word": " put", "probability": 0.38427734375}, {"start": 1944.57, "end": 1945.69, "word": " حط", "probability": 0.474609375}, {"start": 1945.69, "end": 1945.97, "word": " لل", "probability": 0.57373046875}, {"start": 1945.97, "end": 1946.51, "word": " x", "probability": 0.603515625}, {"start": 1946.51, "end": 1947.45, "word": " بدها", "probability": 0.906494140625}, {"start": 1947.45, "end": 1948.37, "word": " تساوي", "probability": 0.9713134765625}, {"start": 1948.37, "end": 1949.67, "word": " a", "probability": 0.75439453125}, {"start": 1949.67, "end": 1951.03, "word": " tan", "probability": 0.7724609375}, {"start": 1951.03, "end": 1951.73, "word": " theta", "probability": 0.396484375}, {"start": 1951.73, "end": 1952.41, "word": " و", "probability": 0.456787109375}, {"start": 1952.41, "end": 1952.63, "word": " ال", "probability": 0.59130859375}, {"start": 1952.63, "end": 1952.99, "word": " theta", "probability": 0.80859375}, {"start": 1952.99, "end": 1953.67, "word": " هذه", "probability": 0.5830078125}, {"start": 1953.67, "end": 1954.57, "word": " أكبر", "probability": 0.9427083333333334}, {"start": 1954.57, "end": 1954.91, "word": " من", "probability": 0.99462890625}, {"start": 1954.91, "end": 1955.29, "word": " سالب", "probability": 0.6729329427083334}, {"start": 1955.29, "end": 1955.55, "word": " pi", "probability": 0.29443359375}, {"start": 1955.55, "end": 1955.83, "word": " على", "probability": 0.50244140625}, {"start": 1955.83, "end": 1956.41, "word": " اتنين", "probability": 0.93115234375}, {"start": 1956.41, "end": 1957.57, "word": " وأقل", "probability": 0.85791015625}, {"start": 1957.57, "end": 1957.83, "word": " من", "probability": 0.99462890625}, {"start": 1957.83, "end": 1958.31, "word": " pi", "probability": 0.673828125}, {"start": 1958.31, "end": 1958.87, "word": " على", "probability": 0.90576171875}, {"start": 1958.87, "end": 1959.73, "word": " اتنين", "probability": 0.9735107421875}], "temperature": 1.0}, {"id": 87, "seek": 196325, "start": 1962.11, "end": 1963.25, "text": "نمرة تلاتة", "tokens": [1863, 2304, 25720, 6055, 1211, 9307, 3660], "avg_logprob": -0.2749023512005806, "compression_ratio": 0.6333333333333333, "no_speech_prob": 0.0, "words": [{"start": 1962.11, "end": 1962.61, "word": "نمرة", "probability": 0.5775553385416666}, {"start": 1962.61, "end": 1963.25, "word": " تلاتة", "probability": 0.9127197265625}], "temperature": 1.0}, {"id": 88, "seek": 199333, "start": 1964.21, "end": 1993.33, "text": "إذا كان الجدري التربيعي لـ X تربيع ناقص A تربيع أو X تربيع ناقص A تربيع to the power M يضع X تساوي قداش A في سك الزاوية ثيتا وثيتا أكبر من أو يسوى Zero وأقل من Pi على 2", "tokens": [28814, 15730, 25961, 25724, 3215, 16572, 16712, 2288, 21292, 3615, 1829, 5296, 39184, 1783, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 316, 6055, 2288, 21292, 3615, 34051, 1783, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 316, 6055, 2288, 21292, 3615, 281, 264, 1347, 376, 7251, 11242, 3615, 1783, 6055, 3794, 995, 45865, 12174, 3215, 33599, 316, 8978, 8608, 4117, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 4032, 12984, 36081, 995, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 2407, 7578, 17182, 36725, 4587, 1211, 9154, 17741, 15844, 568], "avg_logprob": -0.3480425870025551, "compression_ratio": 1.6058823529411765, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1964.21, "end": 1964.79, "word": "إذا", "probability": 0.546142578125}, {"start": 1964.79, "end": 1965.17, "word": " كان", "probability": 0.73291015625}, {"start": 1965.17, "end": 1968.99, "word": " الجدري", "probability": 0.4489847819010417}, {"start": 1968.99, "end": 1970.05, "word": " التربيعي", "probability": 0.876953125}, {"start": 1970.05, "end": 1970.75, "word": " لـ", "probability": 0.4869384765625}, {"start": 1970.75, "end": 1970.99, "word": " X", "probability": 0.305419921875}, {"start": 1970.99, "end": 1971.81, "word": " تربيع", "probability": 0.69708251953125}, {"start": 1971.81, "end": 1972.63, "word": " ناقص", "probability": 0.830078125}, {"start": 1972.63, "end": 1972.91, "word": " A", "probability": 0.85009765625}, {"start": 1972.91, "end": 1973.77, "word": " تربيع", "probability": 0.927978515625}, {"start": 1973.77, "end": 1974.65, "word": " أو", "probability": 0.6328125}, {"start": 1974.65, "end": 1975.51, "word": " X", "probability": 0.74169921875}, {"start": 1975.51, "end": 1976.29, "word": " تربيع", "probability": 0.94384765625}, {"start": 1976.29, "end": 1977.21, "word": " ناقص", "probability": 0.984375}, {"start": 1977.21, "end": 1977.53, "word": " A", "probability": 0.9716796875}, {"start": 1977.53, "end": 1978.11, "word": " تربيع", "probability": 0.9461669921875}, {"start": 1978.11, "end": 1978.27, "word": " to", "probability": 0.1817626953125}, {"start": 1978.27, "end": 1978.49, "word": " the", "probability": 0.75}, {"start": 1978.49, "end": 1979.01, "word": " power", "probability": 0.853515625}, {"start": 1979.01, "end": 1979.61, "word": " M", "probability": 0.580078125}, {"start": 1979.61, "end": 1980.57, "word": " يضع", "probability": 0.4134114583333333}, {"start": 1980.57, "end": 1981.73, "word": " X", "probability": 0.845703125}, {"start": 1981.73, "end": 1982.81, "word": " تساوي", "probability": 0.7535400390625}, {"start": 1982.81, "end": 1984.07, "word": " قداش", "probability": 0.6016438802083334}, {"start": 1984.07, "end": 1984.81, "word": " A", "probability": 0.92138671875}, {"start": 1984.81, "end": 1985.41, "word": " في", "probability": 0.81396484375}, {"start": 1985.41, "end": 1986.01, "word": " سك", "probability": 0.8662109375}, {"start": 1986.01, "end": 1986.91, "word": " الزاوية", "probability": 0.887109375}, {"start": 1986.91, "end": 1987.65, "word": " ثيتا", "probability": 0.6353759765625}, {"start": 1987.65, "end": 1988.71, "word": " وثيتا", "probability": 0.7579345703125}, {"start": 1988.71, "end": 1989.19, "word": " أكبر", "probability": 0.9384765625}, {"start": 1989.19, "end": 1989.41, "word": " من", "probability": 0.8994140625}, {"start": 1989.41, "end": 1989.65, "word": " أو", "probability": 0.82666015625}, {"start": 1989.65, "end": 1990.21, "word": " يسوى", "probability": 0.841064453125}, {"start": 1990.21, "end": 1990.71, "word": " Zero", "probability": 0.32861328125}, {"start": 1990.71, "end": 1991.95, "word": " وأقل", "probability": 0.84033203125}, {"start": 1991.95, "end": 1992.31, "word": " من", "probability": 0.990234375}, {"start": 1992.31, "end": 1992.73, "word": " Pi", "probability": 0.564453125}, {"start": 1992.73, "end": 1993.03, "word": " على", "probability": 0.6484375}, {"start": 1993.03, "end": 1993.33, "word": " 2", "probability": 0.703125}], "temperature": 1.0}, {"id": 89, "seek": 201952, "start": 2014.56, "end": 2019.52, "text": "بنرجع الكلام اللي احنا كاتبينه ونطرح عدة تساؤلات", "tokens": [3555, 1863, 47341, 3615, 2423, 28820, 10943, 13672, 1829, 1975, 5016, 8315, 9122, 9307, 3555, 9957, 3224, 4032, 1863, 9566, 2288, 5016, 6225, 41891, 6055, 3794, 5718, 97, 1211, 9307], "avg_logprob": -0.09727822676781685, "compression_ratio": 1.1710526315789473, "no_speech_prob": 0.0, "words": [{"start": 2014.56, "end": 2015.72, "word": "بنرجع", "probability": 0.8714599609375}, {"start": 2015.72, "end": 2016.14, "word": " الكلام", "probability": 0.8694661458333334}, {"start": 2016.14, "end": 2016.3, "word": " اللي", "probability": 0.842041015625}, {"start": 2016.3, "end": 2016.5, "word": " احنا", "probability": 0.9410807291666666}, {"start": 2016.5, "end": 2017.18, "word": " كاتبينه", "probability": 0.9548828125}, {"start": 2017.18, "end": 2017.92, "word": " ونطرح", "probability": 0.915234375}, {"start": 2017.92, "end": 2018.4, "word": " عدة", "probability": 0.9716796875}, {"start": 2018.4, "end": 2019.52, "word": " تساؤلات", "probability": 0.922119140625}], "temperature": 1.0}, {"id": 90, "seek": 204211, "start": 2020.85, "end": 2042.11, "text": "و هذه التساؤلات ربما تدور في خلد كثير منكم أنتم اللي جاعدين من خلال بس التلات أسطر اللي كتبناهم على صبورة اللي جتها السؤال الأول ليش لو كان عندنا جدر أو جوس حطينا التعويضة هذه a sign؟", "tokens": [2407, 29538, 16712, 3794, 5718, 97, 1211, 9307, 12602, 3555, 15042, 6055, 3215, 13063, 8978, 16490, 1211, 3215, 9122, 12984, 13546, 9154, 24793, 14739, 39237, 13672, 1829, 10874, 995, 22488, 9957, 9154, 16490, 1211, 6027, 4724, 3794, 16712, 1211, 9307, 5551, 3794, 9566, 2288, 13672, 1829, 9122, 2655, 3555, 8315, 16095, 15844, 20328, 3555, 13063, 3660, 13672, 1829, 10874, 2655, 11296, 21136, 33604, 6027, 16247, 12610, 32239, 8592, 45164, 25961, 43242, 8315, 10874, 3215, 2288, 34051, 10874, 41779, 11331, 9566, 1829, 8315, 16712, 3615, 45865, 11242, 3660, 29538, 257, 1465, 22807], "avg_logprob": -0.2094089724123478, "compression_ratio": 1.6666666666666667, "no_speech_prob": 0.0, "words": [{"start": 2020.85, "end": 2021.09, "word": "و", "probability": 0.81689453125}, {"start": 2021.09, "end": 2021.37, "word": " هذه", "probability": 0.77099609375}, {"start": 2021.37, "end": 2022.27, "word": " التساؤلات", "probability": 0.875732421875}, {"start": 2022.27, "end": 2022.83, "word": " ربما", "probability": 0.9890950520833334}, {"start": 2022.83, "end": 2023.37, "word": " تدور", "probability": 0.9923502604166666}, {"start": 2023.37, "end": 2023.61, "word": " في", "probability": 0.92431640625}, {"start": 2023.61, "end": 2024.15, "word": " خلد", "probability": 0.8277994791666666}, {"start": 2024.15, "end": 2025.05, "word": " كثير", "probability": 0.9763997395833334}, {"start": 2025.05, "end": 2025.75, "word": " منكم", "probability": 0.838623046875}, {"start": 2025.75, "end": 2025.99, "word": " أنتم", "probability": 0.5709228515625}, {"start": 2025.99, "end": 2026.19, "word": " اللي", "probability": 0.839599609375}, {"start": 2026.19, "end": 2026.79, "word": " جاعدين", "probability": 0.846923828125}, {"start": 2026.79, "end": 2027.39, "word": " من", "probability": 0.91015625}, {"start": 2027.39, "end": 2027.81, "word": " خلال", "probability": 0.9884440104166666}, {"start": 2027.81, "end": 2028.09, "word": " بس", "probability": 0.845703125}, {"start": 2028.09, "end": 2028.55, "word": " التلات", "probability": 0.6112060546875}, {"start": 2028.55, "end": 2028.99, "word": " أسطر", "probability": 0.7939453125}, {"start": 2028.99, "end": 2029.13, "word": " اللي", "probability": 0.981689453125}, {"start": 2029.13, "end": 2029.93, "word": " كتبناهم", "probability": 0.945703125}, {"start": 2029.93, "end": 2030.55, "word": " على", "probability": 0.91845703125}, {"start": 2030.55, "end": 2031.45, "word": " صبورة", "probability": 0.706787109375}, {"start": 2031.45, "end": 2031.75, "word": " اللي", "probability": 0.884521484375}, {"start": 2031.75, "end": 2032.09, "word": " جتها", "probability": 0.460205078125}, {"start": 2032.09, "end": 2033.61, "word": " السؤال", "probability": 0.9630533854166666}, {"start": 2033.61, "end": 2034.35, "word": " الأول", "probability": 0.983154296875}, {"start": 2034.35, "end": 2036.11, "word": " ليش", "probability": 0.767578125}, {"start": 2036.11, "end": 2036.37, "word": " لو", "probability": 0.97998046875}, {"start": 2036.37, "end": 2036.67, "word": " كان", "probability": 0.9951171875}, {"start": 2036.67, "end": 2037.23, "word": " عندنا", "probability": 0.80712890625}, {"start": 2037.23, "end": 2037.69, "word": " جدر", "probability": 0.9560546875}, {"start": 2037.69, "end": 2038.07, "word": " أو", "probability": 0.68310546875}, {"start": 2038.07, "end": 2038.53, "word": " جوس", "probability": 0.78857421875}, {"start": 2038.53, "end": 2039.13, "word": " حطينا", "probability": 0.8350830078125}, {"start": 2039.13, "end": 2039.87, "word": " التعويضة", "probability": 0.908984375}, {"start": 2039.87, "end": 2040.25, "word": " هذه", "probability": 0.8251953125}, {"start": 2040.25, "end": 2040.83, "word": " a", "probability": 0.439208984375}, {"start": 2040.83, "end": 2042.11, "word": " sign؟", "probability": 0.609375}], "temperature": 1.0}, {"id": 91, "seek": 206548, "start": 2042.9, "end": 2065.48, "text": "سؤال الثاني، ليش حصرت θ من سالب باي على اتنين إلى باي على اتنين؟ ونفس التساؤل للحالة التانية وللحالة التالتة، طبعا؟ إذا بنحاول نجيب على هذه التساؤلات اللي طرعت على ذهننا من خلال الكلام اللي مكتوب هذا قدامنا", "tokens": [3794, 33604, 6027, 6024, 104, 7649, 1829, 12399, 32239, 8592, 11331, 9381, 43500, 12622, 9154, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 30731, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 22807, 4032, 1863, 36178, 16712, 3794, 5718, 97, 1211, 24976, 5016, 6027, 3660, 16712, 7649, 10632, 35525, 1211, 5016, 6027, 3660, 16712, 6027, 2655, 3660, 12399, 23032, 3555, 3615, 995, 22807, 11933, 15730, 44945, 5016, 995, 12610, 8717, 7435, 1829, 3555, 15844, 29538, 16712, 3794, 5718, 97, 1211, 9307, 13672, 1829, 23032, 2288, 34268, 15844, 29910, 3224, 1863, 8315, 9154, 16490, 1211, 6027, 2423, 28820, 10943, 13672, 1829, 3714, 4117, 2655, 37746, 23758, 12174, 3215, 10943, 8315], "avg_logprob": -0.15132319417085732, "compression_ratio": 1.9946808510638299, "no_speech_prob": 0.0, "words": [{"start": 2042.9, "end": 2043.5, "word": "سؤال", "probability": 0.9293619791666666}, {"start": 2043.5, "end": 2044.64, "word": " الثاني،", "probability": 0.761474609375}, {"start": 2044.64, "end": 2045.3, "word": " ليش", "probability": 0.66748046875}, {"start": 2045.3, "end": 2045.96, "word": " حصرت", "probability": 0.87060546875}, {"start": 2045.96, "end": 2046.4, "word": " θ", "probability": 0.45654296875}, {"start": 2046.4, "end": 2046.8, "word": " من", "probability": 0.92626953125}, {"start": 2046.8, "end": 2047.28, "word": " سالب", "probability": 0.7000325520833334}, {"start": 2047.28, "end": 2047.54, "word": " باي", "probability": 0.26141357421875}, {"start": 2047.54, "end": 2047.8, "word": " على", "probability": 0.8955078125}, {"start": 2047.8, "end": 2048.34, "word": " اتنين", "probability": 0.9691162109375}, {"start": 2048.34, "end": 2048.62, "word": " إلى", "probability": 0.619140625}, {"start": 2048.62, "end": 2049.0, "word": " باي", "probability": 0.880615234375}, {"start": 2049.0, "end": 2049.26, "word": " على", "probability": 0.96728515625}, {"start": 2049.26, "end": 2050.36, "word": " اتنين؟", "probability": 0.94853515625}, {"start": 2050.36, "end": 2051.18, "word": " ونفس", "probability": 0.79833984375}, {"start": 2051.18, "end": 2052.1, "word": " التساؤل", "probability": 0.9314453125}, {"start": 2052.1, "end": 2053.04, "word": " للحالة", "probability": 0.9454345703125}, {"start": 2053.04, "end": 2053.5, "word": " التانية", "probability": 0.97265625}, {"start": 2053.5, "end": 2054.5, "word": " وللحالة", "probability": 0.890087890625}, {"start": 2054.5, "end": 2055.84, "word": " التالتة،", "probability": 0.83818359375}, {"start": 2055.84, "end": 2056.96, "word": " طبعا؟", "probability": 0.88818359375}, {"start": 2056.96, "end": 2057.28, "word": " إذا", "probability": 0.8427734375}, {"start": 2057.28, "end": 2058.0, "word": " بنحاول", "probability": 0.83624267578125}, {"start": 2058.0, "end": 2058.46, "word": " نجيب", "probability": 0.98193359375}, {"start": 2058.46, "end": 2058.7, "word": " على", "probability": 0.95556640625}, {"start": 2058.7, "end": 2059.18, "word": " هذه", "probability": 0.97607421875}, {"start": 2059.18, "end": 2060.36, "word": " التساؤلات", "probability": 0.94287109375}, {"start": 2060.36, "end": 2061.0, "word": " اللي", "probability": 0.880859375}, {"start": 2061.0, "end": 2061.54, "word": " طرعت", "probability": 0.9415690104166666}, {"start": 2061.54, "end": 2061.84, "word": " على", "probability": 0.90478515625}, {"start": 2061.84, "end": 2062.4, "word": " ذهننا", "probability": 0.9376220703125}, {"start": 2062.4, "end": 2062.56, "word": " من", "probability": 0.99560546875}, {"start": 2062.56, "end": 2063.02, "word": " خلال", "probability": 0.9918619791666666}, {"start": 2063.02, "end": 2063.54, "word": " الكلام", "probability": 0.9386393229166666}, {"start": 2063.54, "end": 2063.72, "word": " اللي", "probability": 0.95654296875}, {"start": 2063.72, "end": 2064.44, "word": " مكتوب", "probability": 0.987548828125}, {"start": 2064.44, "end": 2064.88, "word": " هذا", "probability": 0.890625}, {"start": 2064.88, "end": 2065.48, "word": " قدامنا", "probability": 0.9356689453125}], "temperature": 1.0}, {"id": 92, "seek": 208483, "start": 2066.33, "end": 2084.83, "text": "أول شيء لما نكون جادر أننا زي هذا اقترحنا بتعوض x يساوي a sin θ السؤال هو يعني dx بقداش بتكون اللي dx هتكون موجودة في المثلة إذا ال dx هتصير a في cos θ في dθ", "tokens": [10721, 12610, 44049, 38207, 5296, 15042, 8717, 30544, 10874, 18513, 2288, 14739, 8315, 30767, 1829, 23758, 1975, 38149, 2288, 5016, 8315, 39894, 3615, 2407, 11242, 2031, 7251, 3794, 995, 45865, 257, 3343, 12622, 21136, 33604, 6027, 31439, 37495, 22653, 30017, 4724, 28543, 33599, 39894, 30544, 13672, 1829, 30017, 8032, 2655, 30544, 3714, 29245, 23328, 3660, 8978, 9673, 12984, 37977, 11933, 15730, 2423, 30017, 8032, 2655, 9381, 13546, 257, 8978, 3792, 12622, 8978, 274, 9440], "avg_logprob": -0.30041666587193805, "compression_ratio": 1.5232558139534884, "no_speech_prob": 0.0, "words": [{"start": 2066.33, "end": 2066.69, "word": "أول", "probability": 0.645751953125}, {"start": 2066.69, "end": 2067.43, "word": " شيء", "probability": 0.686767578125}, {"start": 2067.43, "end": 2067.85, "word": " لما", "probability": 0.697265625}, {"start": 2067.85, "end": 2068.19, "word": " نكون", "probability": 0.684326171875}, {"start": 2068.19, "end": 2068.63, "word": " جادر", "probability": 0.6005859375}, {"start": 2068.63, "end": 2069.15, "word": " أننا", "probability": 0.4285888671875}, {"start": 2069.15, "end": 2069.33, "word": " زي", "probability": 0.78076171875}, {"start": 2069.33, "end": 2069.55, "word": " هذا", "probability": 0.9072265625}, {"start": 2069.55, "end": 2070.25, "word": " اقترحنا", "probability": 0.88974609375}, {"start": 2070.25, "end": 2070.87, "word": " بتعوض", "probability": 0.72802734375}, {"start": 2070.87, "end": 2071.33, "word": " x", "probability": 0.293212890625}, {"start": 2071.33, "end": 2072.09, "word": " يساوي", "probability": 0.77313232421875}, {"start": 2072.09, "end": 2072.59, "word": " a", "probability": 0.67333984375}, {"start": 2072.59, "end": 2073.41, "word": " sin", "probability": 0.6513671875}, {"start": 2073.41, "end": 2073.95, "word": " θ", "probability": 0.6640625}, {"start": 2073.95, "end": 2075.13, "word": " السؤال", "probability": 0.9646809895833334}, {"start": 2075.13, "end": 2075.35, "word": " هو", "probability": 0.890625}, {"start": 2075.35, "end": 2075.69, "word": " يعني", "probability": 0.898193359375}, {"start": 2075.69, "end": 2076.21, "word": " dx", "probability": 0.7021484375}, {"start": 2076.21, "end": 2076.91, "word": " بقداش", "probability": 0.5904134114583334}, {"start": 2076.91, "end": 2077.63, "word": " بتكون", "probability": 0.9287109375}, {"start": 2077.63, "end": 2077.85, "word": " اللي", "probability": 0.587158203125}, {"start": 2077.85, "end": 2078.21, "word": " dx", "probability": 0.2364501953125}, {"start": 2078.21, "end": 2078.61, "word": " هتكون", "probability": 0.9373372395833334}, {"start": 2078.61, "end": 2079.01, "word": " موجودة", "probability": 0.9703369140625}, {"start": 2079.01, "end": 2079.13, "word": " في", "probability": 0.92138671875}, {"start": 2079.13, "end": 2079.69, "word": " المثلة", "probability": 0.8785807291666666}, {"start": 2079.69, "end": 2080.45, "word": " إذا", "probability": 0.641845703125}, {"start": 2080.45, "end": 2080.73, "word": " ال", "probability": 0.74951171875}, {"start": 2080.73, "end": 2081.27, "word": " dx", "probability": 0.70556640625}, {"start": 2081.27, "end": 2082.03, "word": " هتصير", "probability": 0.97021484375}, {"start": 2082.03, "end": 2082.53, "word": " a", "probability": 0.9111328125}, {"start": 2082.53, "end": 2082.71, "word": " في", "probability": 0.71875}, {"start": 2082.71, "end": 2083.19, "word": " cos", "probability": 0.64990234375}, {"start": 2083.19, "end": 2084.03, "word": " θ", "probability": 0.88330078125}, {"start": 2084.03, "end": 2084.25, "word": " في", "probability": 0.88232421875}, {"start": 2084.25, "end": 2084.83, "word": " dθ", "probability": 0.7451171875}], "temperature": 1.0}, {"id": 93, "seek": 210651, "start": 2086.95, "end": 2106.51, "text": "طيب ليش هنا لو حطيتش بصير ايه تربية ناقص ايه تربية صين تربية اذا لو اخدنا ايه تربية عامل مشترك بيظل جداش واحد ناقص صين تربية وانه اثنين كوصين تربية اذا مضمنت كل الكمية اللي تحت اللي كمية مربعة", "tokens": [9566, 1829, 3555, 32239, 8592, 34105, 45164, 11331, 9566, 36081, 8592, 4724, 9381, 13546, 1975, 1829, 3224, 6055, 25513, 10632, 8717, 995, 4587, 9381, 1975, 1829, 3224, 6055, 25513, 10632, 20328, 9957, 6055, 25513, 10632, 1975, 15730, 45164, 1975, 9778, 3215, 8315, 1975, 1829, 3224, 6055, 25513, 10632, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 1829, 19913, 1211, 10874, 3215, 33599, 36764, 24401, 8717, 995, 4587, 9381, 20328, 9957, 6055, 25513, 10632, 4032, 7649, 3224, 1975, 12984, 1863, 9957, 9122, 2407, 9381, 9957, 6055, 25513, 10632, 1975, 15730, 3714, 11242, 27842, 2655, 28242, 33251, 2304, 10632, 13672, 1829, 6055, 33753, 13672, 1829, 9122, 2304, 10632, 3714, 25513, 27884], "avg_logprob": -0.2730791350023462, "compression_ratio": 2.1625, "no_speech_prob": 0.0, "words": [{"start": 2086.95, "end": 2087.87, "word": "طيب", "probability": 0.6422119140625}, {"start": 2087.87, "end": 2088.45, "word": " ليش", "probability": 0.68408203125}, {"start": 2088.45, "end": 2088.75, "word": " هنا", "probability": 0.75537109375}, {"start": 2088.75, "end": 2088.97, "word": " لو", "probability": 0.875}, {"start": 2088.97, "end": 2089.59, "word": " حطيتش", "probability": 0.81591796875}, {"start": 2089.59, "end": 2090.67, "word": " بصير", "probability": 0.8580729166666666}, {"start": 2090.67, "end": 2091.09, "word": " ايه", "probability": 0.7329915364583334}, {"start": 2091.09, "end": 2091.49, "word": " تربية", "probability": 0.8240559895833334}, {"start": 2091.49, "end": 2092.15, "word": " ناقص", "probability": 0.8076171875}, {"start": 2092.15, "end": 2092.57, "word": " ايه", "probability": 0.9326171875}, {"start": 2092.57, "end": 2093.15, "word": " تربية", "probability": 0.9654947916666666}, {"start": 2093.15, "end": 2093.67, "word": " صين", "probability": 0.55230712890625}, {"start": 2093.67, "end": 2094.31, "word": " تربية", "probability": 0.9578450520833334}, {"start": 2094.31, "end": 2094.99, "word": " اذا", "probability": 0.6796875}, {"start": 2094.99, "end": 2095.21, "word": " لو", "probability": 0.90478515625}, {"start": 2095.21, "end": 2095.69, "word": " اخدنا", "probability": 0.8387451171875}, {"start": 2095.69, "end": 2095.89, "word": " ايه", "probability": 0.96435546875}, {"start": 2095.89, "end": 2096.23, "word": " تربية", "probability": 0.9796549479166666}, {"start": 2096.23, "end": 2096.55, "word": " عامل", "probability": 0.8473307291666666}, {"start": 2096.55, "end": 2096.97, "word": " مشترك", "probability": 0.9583333333333334}, {"start": 2096.97, "end": 2097.31, "word": " بيظل", "probability": 0.861572265625}, {"start": 2097.31, "end": 2098.13, "word": " جداش", "probability": 0.6910807291666666}, {"start": 2098.13, "end": 2099.09, "word": " واحد", "probability": 0.95849609375}, {"start": 2099.09, "end": 2099.55, "word": " ناقص", "probability": 0.99072265625}, {"start": 2099.55, "end": 2099.81, "word": " صين", "probability": 0.8349609375}, {"start": 2099.81, "end": 2100.05, "word": " تربية", "probability": 0.970703125}, {"start": 2100.05, "end": 2100.27, "word": " وانه", "probability": 0.5150553385416666}, {"start": 2100.27, "end": 2100.81, "word": " اثنين", "probability": 0.61761474609375}, {"start": 2100.81, "end": 2102.07, "word": " كوصين", "probability": 0.593048095703125}, {"start": 2102.07, "end": 2102.55, "word": " تربية", "probability": 0.9708658854166666}, {"start": 2102.55, "end": 2102.91, "word": " اذا", "probability": 0.88134765625}, {"start": 2102.91, "end": 2103.75, "word": " مضمنت", "probability": 0.78656005859375}, {"start": 2103.75, "end": 2104.01, "word": " كل", "probability": 0.84619140625}, {"start": 2104.01, "end": 2104.59, "word": " الكمية", "probability": 0.8548177083333334}, {"start": 2104.59, "end": 2104.77, "word": " اللي", "probability": 0.720703125}, {"start": 2104.77, "end": 2105.03, "word": " تحت", "probability": 0.973876953125}, {"start": 2105.03, "end": 2105.21, "word": " اللي", "probability": 0.570068359375}, {"start": 2105.21, "end": 2105.83, "word": " كمية", "probability": 0.7811686197916666}, {"start": 2105.83, "end": 2106.51, "word": " مربعة", "probability": 0.8732096354166666}], "temperature": 1.0}, {"id": 94, "seek": 212369, "start": 2106.72, "end": 2123.7, "text": "كمية مربعة بطير الجدر و بطلع a absolute value لمن؟ لكوسين بشرط ان ال a تبقى positive تبقى بصير a absolute value لكوسين", "tokens": [4117, 2304, 10632, 3714, 25513, 27884, 4724, 9566, 13546, 25724, 3215, 2288, 4032, 4724, 9566, 1211, 3615, 257, 8236, 2158, 5296, 27842, 22807, 5296, 4117, 2407, 3794, 9957, 4724, 46309, 9566, 16472, 2423, 257, 6055, 3555, 4587, 7578, 3353, 6055, 3555, 4587, 7578, 4724, 9381, 13546, 257, 8236, 2158, 5296, 4117, 2407, 3794, 9957], "avg_logprob": -0.2843749978325584, "compression_ratio": 1.3937007874015748, "no_speech_prob": 0.0, "words": [{"start": 2106.72, "end": 2107.38, "word": "كمية", "probability": 0.7139485677083334}, {"start": 2107.38, "end": 2107.9, "word": " مربعة", "probability": 0.8990885416666666}, {"start": 2107.9, "end": 2108.44, "word": " بطير", "probability": 0.5330810546875}, {"start": 2108.44, "end": 2108.9, "word": " الجدر", "probability": 0.9567057291666666}, {"start": 2108.9, "end": 2108.98, "word": " و", "probability": 0.60986328125}, {"start": 2108.98, "end": 2109.64, "word": " بطلع", "probability": 0.901123046875}, {"start": 2109.64, "end": 2110.34, "word": " a", "probability": 0.5126953125}, {"start": 2110.34, "end": 2111.26, "word": " absolute", "probability": 0.86865234375}, {"start": 2111.26, "end": 2112.54, "word": " value", "probability": 0.99169921875}, {"start": 2112.54, "end": 2113.98, "word": " لمن؟", "probability": 0.6167805989583334}, {"start": 2113.98, "end": 2115.2, "word": " لكوسين", "probability": 0.66337890625}, {"start": 2115.2, "end": 2116.08, "word": " بشرط", "probability": 0.8997395833333334}, {"start": 2116.08, "end": 2116.34, "word": " ان", "probability": 0.62939453125}, {"start": 2116.34, "end": 2116.54, "word": " ال", "probability": 0.75927734375}, {"start": 2116.54, "end": 2116.72, "word": " a", "probability": 0.7177734375}, {"start": 2116.72, "end": 2117.16, "word": " تبقى", "probability": 0.949951171875}, {"start": 2117.16, "end": 2117.86, "word": " positive", "probability": 0.92919921875}, {"start": 2117.86, "end": 2119.68, "word": " تبقى", "probability": 0.69134521484375}, {"start": 2119.68, "end": 2120.34, "word": " بصير", "probability": 0.8829752604166666}, {"start": 2120.34, "end": 2120.84, "word": " a", "probability": 0.93603515625}, {"start": 2120.84, "end": 2121.58, "word": " absolute", "probability": 0.947265625}, {"start": 2121.58, "end": 2122.5, "word": " value", "probability": 0.98974609375}, {"start": 2122.5, "end": 2123.7, "word": " لكوسين", "probability": 0.9341796875}], "temperature": 1.0}, {"id": 95, "seek": 214126, "start": 2124.88, "end": 2141.26, "text": "بظبط هيك؟ طيب ال absolute هذه بدها زهجني عند التكامل نقدر نطير ال absolute بيقولك اه انت حطيت condition ان θ في الفترة اللي عندنا هذه هدى لها بدل الفائدة تنتين", "tokens": [3555, 19913, 3555, 9566, 39896, 4117, 22807, 23032, 1829, 3555, 2423, 8236, 29538, 47525, 11296, 30767, 3224, 7435, 22653, 43242, 16712, 4117, 10943, 1211, 8717, 28543, 2288, 8717, 9566, 13546, 2423, 8236, 4724, 1829, 39648, 4117, 1975, 3224, 16472, 2655, 11331, 9566, 36081, 4188, 16472, 12622, 8978, 27188, 2655, 25720, 13672, 1829, 43242, 8315, 29538, 8032, 3215, 7578, 5296, 11296, 47525, 1211, 27188, 16373, 41891, 6055, 29399, 9957], "avg_logprob": -0.32971013628918194, "compression_ratio": 1.5380116959064327, "no_speech_prob": 0.0, "words": [{"start": 2124.88, "end": 2125.42, "word": "بظبط", "probability": 0.68011474609375}, {"start": 2125.42, "end": 2126.12, "word": " هيك؟", "probability": 0.6468912760416666}, {"start": 2126.12, "end": 2126.74, "word": " طيب", "probability": 0.80078125}, {"start": 2126.74, "end": 2126.9, "word": " ال", "probability": 0.9130859375}, {"start": 2126.9, "end": 2127.24, "word": " absolute", "probability": 0.8203125}, {"start": 2127.24, "end": 2127.56, "word": " هذه", "probability": 0.426025390625}, {"start": 2127.56, "end": 2127.82, "word": " بدها", "probability": 0.658203125}, {"start": 2127.82, "end": 2128.54, "word": " زهجني", "probability": 0.74859619140625}, {"start": 2128.54, "end": 2128.78, "word": " عند", "probability": 0.6298828125}, {"start": 2128.78, "end": 2129.62, "word": " التكامل", "probability": 0.9703369140625}, {"start": 2129.62, "end": 2130.72, "word": " نقدر", "probability": 0.6791178385416666}, {"start": 2130.72, "end": 2131.26, "word": " نطير", "probability": 0.8439127604166666}, {"start": 2131.26, "end": 2131.44, "word": " ال", "probability": 0.9609375}, {"start": 2131.44, "end": 2132.12, "word": " absolute", "probability": 0.9794921875}, {"start": 2132.12, "end": 2132.84, "word": " بيقولك", "probability": 0.75634765625}, {"start": 2132.84, "end": 2133.16, "word": " اه", "probability": 0.7242431640625}, {"start": 2133.16, "end": 2133.44, "word": " انت", "probability": 0.9443359375}, {"start": 2133.44, "end": 2133.98, "word": " حطيت", "probability": 0.9451497395833334}, {"start": 2133.98, "end": 2134.86, "word": " condition", "probability": 0.95654296875}, {"start": 2134.86, "end": 2135.86, "word": " ان", "probability": 0.87744140625}, {"start": 2135.86, "end": 2136.14, "word": " θ", "probability": 0.43212890625}, {"start": 2136.14, "end": 2136.58, "word": " في", "probability": 0.78369140625}, {"start": 2136.58, "end": 2137.38, "word": " الفترة", "probability": 0.9866536458333334}, {"start": 2137.38, "end": 2138.1, "word": " اللي", "probability": 0.7451171875}, {"start": 2138.1, "end": 2138.48, "word": " عندنا", "probability": 0.682373046875}, {"start": 2138.48, "end": 2138.72, "word": " هذه", "probability": 0.476318359375}, {"start": 2138.72, "end": 2139.18, "word": " هدى", "probability": 0.53857421875}, {"start": 2139.18, "end": 2139.48, "word": " لها", "probability": 0.6221923828125}, {"start": 2139.48, "end": 2139.9, "word": " بدل", "probability": 0.9892578125}, {"start": 2139.9, "end": 2140.56, "word": " الفائدة", "probability": 0.9651692708333334}, {"start": 2140.56, "end": 2141.26, "word": " تنتين", "probability": 0.6521809895833334}], "temperature": 1.0}, {"id": 96, "seek": 215698, "start": 2141.94, "end": 2156.98, "text": "الفائدة الأولى من حصر θ في هذه المنطقة الفائدة الأولى لمن يطلع هنا absolute value ل cos و θ محصورة اي الأرباع هذه؟", "tokens": [6027, 5172, 16373, 41891, 16247, 12610, 7578, 9154, 11331, 9381, 2288, 12622, 8978, 29538, 9673, 1863, 9566, 28671, 27188, 16373, 41891, 16247, 12610, 7578, 5296, 27842, 7251, 9566, 1211, 3615, 34105, 8236, 2158, 5296, 3792, 4032, 12622, 3714, 5016, 9381, 13063, 3660, 1975, 1829, 16247, 25513, 45761, 29538, 22807], "avg_logprob": -0.2368750038743019, "compression_ratio": 1.4393939393939394, "no_speech_prob": 0.0, "words": [{"start": 2141.94, "end": 2142.82, "word": "الفائدة", "probability": 0.84228515625}, {"start": 2142.82, "end": 2143.6, "word": " الأولى", "probability": 0.9554036458333334}, {"start": 2143.6, "end": 2143.98, "word": " من", "probability": 0.89794921875}, {"start": 2143.98, "end": 2144.56, "word": " حصر", "probability": 0.9874674479166666}, {"start": 2144.56, "end": 2144.76, "word": " θ", "probability": 0.408935546875}, {"start": 2144.76, "end": 2145.16, "word": " في", "probability": 0.45166015625}, {"start": 2145.16, "end": 2145.56, "word": " هذه", "probability": 0.92529296875}, {"start": 2145.56, "end": 2146.36, "word": " المنطقة", "probability": 0.9886474609375}, {"start": 2146.36, "end": 2147.22, "word": " الفائدة", "probability": 0.7033284505208334}, {"start": 2147.22, "end": 2147.98, "word": " الأولى", "probability": 0.9658203125}, {"start": 2147.98, "end": 2148.5, "word": " لمن", "probability": 0.875732421875}, {"start": 2148.5, "end": 2149.0, "word": " يطلع", "probability": 0.968994140625}, {"start": 2149.0, "end": 2149.3, "word": " هنا", "probability": 0.91552734375}, {"start": 2149.3, "end": 2149.96, "word": " absolute", "probability": 0.81005859375}, {"start": 2149.96, "end": 2150.68, "word": " value", "probability": 0.9921875}, {"start": 2150.68, "end": 2150.86, "word": " ل", "probability": 0.87939453125}, {"start": 2150.86, "end": 2151.26, "word": " cos", "probability": 0.134765625}, {"start": 2151.26, "end": 2152.28, "word": " و", "probability": 0.81884765625}, {"start": 2152.28, "end": 2153.96, "word": " θ", "probability": 0.51904296875}, {"start": 2153.96, "end": 2155.06, "word": " محصورة", "probability": 0.97021484375}, {"start": 2155.06, "end": 2155.78, "word": " اي", "probability": 0.6312255859375}, {"start": 2155.78, "end": 2156.36, "word": " الأرباع", "probability": 0.6825358072916666}, {"start": 2156.36, "end": 2156.98, "word": " هذه؟", "probability": 0.8359375}], "temperature": 1.0}, {"id": 97, "seek": 218629, "start": 2157.67, "end": 2186.29, "text": "الرابع والأول سالي باي على اتنين الى باي على اتنين مظبوط يبقى في الرابع الرابع والرابع الأول ال cosine موجة يبقى ال absolute value لا معنى له يبقى انسى ال absolute value يبقى مشان هيك لما نطلع من تحت الجدرق ابنك تبش ال absolute value لإن اشترطتيته في هذه الفترة هاي واحدة ايه الثانية ممكن يطلع في الإجابة sign inverse", "tokens": [6027, 2288, 16758, 3615, 16070, 10721, 12610, 8608, 6027, 1829, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 2423, 7578, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 8978, 34892, 16758, 3615, 34892, 16758, 3615, 16070, 2288, 16758, 3615, 16247, 12610, 2423, 23565, 3714, 29245, 3660, 7251, 3555, 4587, 7578, 2423, 8236, 2158, 20193, 20449, 1863, 7578, 46740, 7251, 3555, 4587, 7578, 16472, 3794, 7578, 2423, 8236, 2158, 7251, 3555, 4587, 7578, 37893, 7649, 39896, 4117, 5296, 15042, 8717, 9566, 1211, 3615, 9154, 6055, 33753, 25724, 3215, 2288, 4587, 48127, 1863, 4117, 6055, 3555, 8592, 2423, 8236, 2158, 5296, 28814, 1863, 1975, 8592, 2655, 2288, 9566, 31371, 2655, 3224, 8978, 29538, 27188, 2655, 25720, 8032, 47302, 36764, 24401, 3660, 1975, 1829, 3224, 6024, 104, 7649, 10632, 3714, 43020, 7251, 9566, 1211, 3615, 8978, 33688, 7435, 16758, 3660, 1465, 17340], "avg_logprob": -0.24596087847437179, "compression_ratio": 2.02734375, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2157.67, "end": 2158.33, "word": "الرابع", "probability": 0.681915283203125}, {"start": 2158.33, "end": 2159.17, "word": " والأول", "probability": 0.9402669270833334}, {"start": 2159.17, "end": 2160.07, "word": " سالي", "probability": 0.3318684895833333}, {"start": 2160.07, "end": 2160.39, "word": " باي", "probability": 0.3385009765625}, {"start": 2160.39, "end": 2160.65, "word": " على", "probability": 0.77880859375}, {"start": 2160.65, "end": 2161.23, "word": " اتنين", "probability": 0.9537353515625}, {"start": 2161.23, "end": 2161.55, "word": " الى", "probability": 0.663818359375}, {"start": 2161.55, "end": 2161.79, "word": " باي", "probability": 0.79931640625}, {"start": 2161.79, "end": 2162.03, "word": " على", "probability": 0.943359375}, {"start": 2162.03, "end": 2162.51, "word": " اتنين", "probability": 0.9833984375}, {"start": 2162.51, "end": 2163.13, "word": " مظبوط", "probability": 0.765625}, {"start": 2163.13, "end": 2163.67, "word": " يبقى", "probability": 0.910400390625}, {"start": 2163.67, "end": 2163.83, "word": " في", "probability": 0.39990234375}, {"start": 2163.83, "end": 2164.17, "word": " الرابع", "probability": 0.9599609375}, {"start": 2164.17, "end": 2164.63, "word": " الرابع", "probability": 0.9778645833333334}, {"start": 2164.63, "end": 2165.15, "word": " والرابع", "probability": 0.8265380859375}, {"start": 2165.15, "end": 2165.61, "word": " الأول", "probability": 0.82763671875}, {"start": 2165.61, "end": 2165.83, "word": " ال", "probability": 0.681640625}, {"start": 2165.83, "end": 2166.17, "word": " cosine", "probability": 0.177001953125}, {"start": 2166.17, "end": 2167.77, "word": " موجة", "probability": 0.9327799479166666}, {"start": 2167.77, "end": 2168.09, "word": " يبقى", "probability": 0.8646240234375}, {"start": 2168.09, "end": 2168.19, "word": " ال", "probability": 0.734375}, {"start": 2168.19, "end": 2168.59, "word": " absolute", "probability": 0.92822265625}, {"start": 2168.59, "end": 2169.21, "word": " value", "probability": 0.98828125}, {"start": 2169.21, "end": 2169.53, "word": " لا", "probability": 0.6552734375}, {"start": 2169.53, "end": 2170.03, "word": " معنى", "probability": 0.9171549479166666}, {"start": 2170.03, "end": 2170.37, "word": " له", "probability": 0.89404296875}, {"start": 2170.37, "end": 2171.17, "word": " يبقى", "probability": 0.964111328125}, {"start": 2171.17, "end": 2171.49, "word": " انسى", "probability": 0.6815592447916666}, {"start": 2171.49, "end": 2171.61, "word": " ال", "probability": 0.974609375}, {"start": 2171.61, "end": 2171.99, "word": " absolute", "probability": 0.974609375}, {"start": 2171.99, "end": 2172.71, "word": " value", "probability": 0.9892578125}, {"start": 2172.71, "end": 2173.35, "word": " يبقى", "probability": 0.977294921875}, {"start": 2173.35, "end": 2173.79, "word": " مشان", "probability": 0.6414794921875}, {"start": 2173.79, "end": 2174.11, "word": " هيك", "probability": 0.92431640625}, {"start": 2174.11, "end": 2174.35, "word": " لما", "probability": 0.8779296875}, {"start": 2174.35, "end": 2174.95, "word": " نطلع", "probability": 0.9423828125}, {"start": 2174.95, "end": 2175.15, "word": " من", "probability": 0.9951171875}, {"start": 2175.15, "end": 2175.43, "word": " تحت", "probability": 0.993408203125}, {"start": 2175.43, "end": 2176.21, "word": " الجدرق", "probability": 0.78936767578125}, {"start": 2176.21, "end": 2176.63, "word": " ابنك", "probability": 0.5285237630208334}, {"start": 2176.63, "end": 2176.95, "word": " تبش", "probability": 0.8111979166666666}, {"start": 2176.95, "end": 2177.09, "word": " ال", "probability": 0.93310546875}, {"start": 2177.09, "end": 2177.57, "word": " absolute", "probability": 0.95654296875}, {"start": 2177.57, "end": 2178.19, "word": " value", "probability": 0.9892578125}, {"start": 2178.19, "end": 2178.47, "word": " لإن", "probability": 0.808837890625}, {"start": 2178.47, "end": 2179.43, "word": " اشترطتيته", "probability": 0.743499755859375}, {"start": 2179.43, "end": 2179.55, "word": " في", "probability": 0.87109375}, {"start": 2179.55, "end": 2179.81, "word": " هذه", "probability": 0.95556640625}, {"start": 2179.81, "end": 2180.33, "word": " الفترة", "probability": 0.9918619791666666}, {"start": 2180.33, "end": 2180.91, "word": " هاي", "probability": 0.4996337890625}, {"start": 2180.91, "end": 2181.43, "word": " واحدة", "probability": 0.9851888020833334}, {"start": 2181.43, "end": 2181.85, "word": " ايه", "probability": 0.629150390625}, {"start": 2181.85, "end": 2182.37, "word": " الثانية", "probability": 0.955810546875}, {"start": 2182.37, "end": 2183.15, "word": " ممكن", "probability": 0.91259765625}, {"start": 2183.15, "end": 2183.59, "word": " يطلع", "probability": 0.9833984375}, {"start": 2183.59, "end": 2183.75, "word": " في", "probability": 0.96630859375}, {"start": 2183.75, "end": 2184.59, "word": " الإجابة", "probability": 0.9327392578125}, {"start": 2184.59, "end": 2185.39, "word": " sign", "probability": 0.29736328125}, {"start": 2185.39, "end": 2186.29, "word": " inverse", "probability": 0.92236328125}], "temperature": 1.0}, {"id": 98, "seek": 221028, "start": 2186.9, "end": 2210.28, "text": "لما جبت معكوس ال sign عملت restriction على ال domain من و لا و اين من سالب باي على اتنين الى باي على اتنين يبقى بدي اؤمن المعكوس exist في هذه الحالة يبقى السببين يبقى كانوا هم بسبب حصر الزاوية من سالب باي على اتنين الى باي على اتنين هذا في الحالة الأولى", "tokens": [1211, 15042, 10874, 3555, 2655, 20449, 4117, 41779, 2423, 1465, 6225, 42213, 2655, 29529, 15844, 2423, 9274, 9154, 4032, 20193, 4032, 1975, 9957, 9154, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 2423, 7578, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 33604, 27842, 9673, 3615, 4117, 41779, 2514, 8978, 29538, 21542, 6027, 3660, 7251, 3555, 4587, 7578, 21136, 3555, 3555, 9957, 7251, 3555, 4587, 7578, 25961, 14407, 8032, 2304, 4724, 35457, 3555, 11331, 9381, 2288, 6024, 110, 995, 2407, 10632, 9154, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 2423, 7578, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 23758, 8978, 21542, 6027, 3660, 16247, 12610, 7578], "avg_logprob": -0.22179555147886276, "compression_ratio": 2.1616161616161618, "no_speech_prob": 0.0, "words": [{"start": 2186.9, "end": 2187.32, "word": "لما", "probability": 0.6151123046875}, {"start": 2187.32, "end": 2187.78, "word": " جبت", "probability": 0.7477213541666666}, {"start": 2187.78, "end": 2188.52, "word": " معكوس", "probability": 0.8728841145833334}, {"start": 2188.52, "end": 2188.72, "word": " ال", "probability": 0.51123046875}, {"start": 2188.72, "end": 2188.88, "word": " sign", "probability": 0.302734375}, {"start": 2188.88, "end": 2189.3, "word": " عملت", "probability": 0.6498209635416666}, {"start": 2189.3, "end": 2189.9, "word": " restriction", "probability": 0.79248046875}, {"start": 2189.9, "end": 2190.22, "word": " على", "probability": 0.8359375}, {"start": 2190.22, "end": 2190.34, "word": " ال", "probability": 0.89208984375}, {"start": 2190.34, "end": 2190.64, "word": " domain", "probability": 0.99169921875}, {"start": 2190.64, "end": 2190.8, "word": " من", "probability": 0.9169921875}, {"start": 2190.8, "end": 2190.94, "word": " و", "probability": 0.55078125}, {"start": 2190.94, "end": 2191.06, "word": " لا", "probability": 0.385009765625}, {"start": 2191.06, "end": 2191.3, "word": " و", "probability": 0.95361328125}, {"start": 2191.3, "end": 2191.68, "word": " اين", "probability": 0.5809326171875}, {"start": 2191.68, "end": 2192.44, "word": " من", "probability": 0.53125}, {"start": 2192.44, "end": 2192.88, "word": " سالب", "probability": 0.5493367513020834}, {"start": 2192.88, "end": 2193.12, "word": " باي", "probability": 0.4566650390625}, {"start": 2193.12, "end": 2193.36, "word": " على", "probability": 0.81640625}, {"start": 2193.36, "end": 2193.82, "word": " اتنين", "probability": 0.9820556640625}, {"start": 2193.82, "end": 2194.18, "word": " الى", "probability": 0.771728515625}, {"start": 2194.18, "end": 2194.84, "word": " باي", "probability": 0.828369140625}, {"start": 2194.84, "end": 2195.38, "word": " على", "probability": 0.923828125}, {"start": 2195.38, "end": 2195.74, "word": " اتنين", "probability": 0.9742431640625}, {"start": 2195.74, "end": 2196.02, "word": " يبقى", "probability": 0.86767578125}, {"start": 2196.02, "end": 2196.36, "word": " بدي", "probability": 0.4688720703125}, {"start": 2196.36, "end": 2197.1, "word": " اؤمن", "probability": 0.69384765625}, {"start": 2197.1, "end": 2198.26, "word": " المعكوس", "probability": 0.8133544921875}, {"start": 2198.26, "end": 2198.78, "word": " exist", "probability": 0.6611328125}, {"start": 2198.78, "end": 2199.04, "word": " في", "probability": 0.9208984375}, {"start": 2199.04, "end": 2199.34, "word": " هذه", "probability": 0.9677734375}, {"start": 2199.34, "end": 2199.84, "word": " الحالة", "probability": 0.9806315104166666}, {"start": 2199.84, "end": 2200.5, "word": " يبقى", "probability": 0.9627685546875}, {"start": 2200.5, "end": 2201.4, "word": " السببين", "probability": 0.90576171875}, {"start": 2201.4, "end": 2202.86, "word": " يبقى", "probability": 0.89111328125}, {"start": 2202.86, "end": 2202.98, "word": " كانوا", "probability": 0.837158203125}, {"start": 2202.98, "end": 2203.36, "word": " هم", "probability": 0.75341796875}, {"start": 2203.36, "end": 2204.16, "word": " بسبب", "probability": 0.9827473958333334}, {"start": 2204.16, "end": 2204.6, "word": " حصر", "probability": 0.9601236979166666}, {"start": 2204.6, "end": 2205.12, "word": " الزاوية", "probability": 0.95341796875}, {"start": 2205.12, "end": 2205.3, "word": " من", "probability": 0.98046875}, {"start": 2205.3, "end": 2205.72, "word": " سالب", "probability": 0.9775390625}, {"start": 2205.72, "end": 2205.92, "word": " باي", "probability": 0.866455078125}, {"start": 2205.92, "end": 2206.14, "word": " على", "probability": 0.93212890625}, {"start": 2206.14, "end": 2206.6, "word": " اتنين", "probability": 0.990478515625}, {"start": 2206.6, "end": 2206.98, "word": " الى", "probability": 0.974609375}, {"start": 2206.98, "end": 2207.22, "word": " باي", "probability": 0.880615234375}, {"start": 2207.22, "end": 2207.42, "word": " على", "probability": 0.94140625}, {"start": 2207.42, "end": 2207.96, "word": " اتنين", "probability": 0.9898681640625}, {"start": 2207.96, "end": 2208.6, "word": " هذا", "probability": 0.8466796875}, {"start": 2208.6, "end": 2208.84, "word": " في", "probability": 0.884765625}, {"start": 2208.84, "end": 2209.6, "word": " الحالة", "probability": 0.9930013020833334}, {"start": 2209.6, "end": 2210.28, "word": " الأولى", "probability": 0.89208984375}], "temperature": 1.0}, {"id": 99, "seek": 223796, "start": 2210.44, "end": 2237.96, "text": "طب يمكن يطلع في الجواب بعد ما نحل cosθ يمكن يطلع tanθ يمكن يطلع 6θ في الجواب كيف بدي أجيب القيم هذه بقولك بسيطة جدا ولا فيه أسهل منها هذه ها ها بقدر اكتبها sinθ يسوى قدرش x على a وارسوم له المثلث القائم الزاوية هى θ وهى الزاوية القائمة", "tokens": [9566, 3555, 7251, 43020, 7251, 9566, 1211, 3615, 8978, 25724, 14407, 3555, 39182, 19446, 8717, 5016, 1211, 3792, 9440, 7251, 43020, 7251, 9566, 1211, 3615, 7603, 9440, 7251, 43020, 7251, 9566, 1211, 3615, 1386, 9440, 8978, 25724, 14407, 3555, 9122, 33911, 4724, 16254, 5551, 7435, 1829, 3555, 25062, 32640, 29538, 4724, 39648, 4117, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 49429, 8978, 3224, 5551, 3794, 3224, 1211, 9154, 11296, 29538, 8032, 995, 8032, 995, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 3343, 9440, 7251, 3794, 2407, 7578, 12174, 3215, 2288, 8592, 2031, 15844, 257, 4032, 9640, 3794, 20498, 46740, 9673, 12984, 1211, 12984, 25062, 16373, 2304, 6024, 110, 995, 2407, 10632, 8032, 7578, 12622, 37037, 7578, 6024, 110, 995, 2407, 10632, 25062, 16373, 46007], "avg_logprob": -0.232390867220977, "compression_ratio": 1.911214953271028, "no_speech_prob": 0.0, "words": [{"start": 2210.44, "end": 2210.9, "word": "طب", "probability": 0.52880859375}, {"start": 2210.9, "end": 2211.38, "word": " يمكن", "probability": 0.9775390625}, {"start": 2211.38, "end": 2211.92, "word": " يطلع", "probability": 0.8551025390625}, {"start": 2211.92, "end": 2212.12, "word": " في", "probability": 0.90673828125}, {"start": 2212.12, "end": 2212.84, "word": " الجواب", "probability": 0.9264322916666666}, {"start": 2212.84, "end": 2213.3, "word": " بعد", "probability": 0.88916015625}, {"start": 2213.3, "end": 2213.46, "word": " ما", "probability": 0.55322265625}, {"start": 2213.46, "end": 2213.84, "word": " نحل", "probability": 0.88427734375}, {"start": 2213.84, "end": 2215.22, "word": " cosθ", "probability": 0.251708984375}, {"start": 2215.22, "end": 2215.76, "word": " يمكن", "probability": 0.9287109375}, {"start": 2215.76, "end": 2216.34, "word": " يطلع", "probability": 0.9783935546875}, {"start": 2216.34, "end": 2217.1, "word": " tanθ", "probability": 0.861083984375}, {"start": 2217.1, "end": 2217.58, "word": " يمكن", "probability": 0.90283203125}, {"start": 2217.58, "end": 2218.04, "word": " يطلع", "probability": 0.984130859375}, {"start": 2218.04, "end": 2218.68, "word": " 6θ", "probability": 0.56365966796875}, {"start": 2218.68, "end": 2218.84, "word": " في", "probability": 0.9375}, {"start": 2218.84, "end": 2219.32, "word": " الجواب", "probability": 0.9772135416666666}, {"start": 2219.32, "end": 2219.92, "word": " كيف", "probability": 0.89892578125}, {"start": 2219.92, "end": 2220.16, "word": " بدي", "probability": 0.6693115234375}, {"start": 2220.16, "end": 2220.52, "word": " أجيب", "probability": 0.8931884765625}, {"start": 2220.52, "end": 2220.92, "word": " القيم", "probability": 0.872802734375}, {"start": 2220.92, "end": 2221.34, "word": " هذه", "probability": 0.8330078125}, {"start": 2221.34, "end": 2221.78, "word": " بقولك", "probability": 0.656494140625}, {"start": 2221.78, "end": 2222.32, "word": " بسيطة", "probability": 0.97958984375}, {"start": 2222.32, "end": 2222.58, "word": " جدا", "probability": 0.983642578125}, {"start": 2222.58, "end": 2222.86, "word": " ولا", "probability": 0.66796875}, {"start": 2222.86, "end": 2223.12, "word": " فيه", "probability": 0.6192626953125}, {"start": 2223.12, "end": 2223.52, "word": " أسهل", "probability": 0.9759521484375}, {"start": 2223.52, "end": 2223.98, "word": " منها", "probability": 0.984130859375}, {"start": 2223.98, "end": 2224.84, "word": " هذه", "probability": 0.3173828125}, {"start": 2224.84, "end": 2225.24, "word": " ها", "probability": 0.763671875}, {"start": 2225.24, "end": 2225.82, "word": " ها", "probability": 0.653076171875}, {"start": 2225.82, "end": 2226.48, "word": " بقدر", "probability": 0.962890625}, {"start": 2226.48, "end": 2227.34, "word": " اكتبها", "probability": 0.8927734375}, {"start": 2227.34, "end": 2228.82, "word": " sinθ", "probability": 0.837158203125}, {"start": 2228.82, "end": 2229.72, "word": " يسوى", "probability": 0.835693359375}, {"start": 2229.72, "end": 2230.32, "word": " قدرش", "probability": 0.6307373046875}, {"start": 2230.32, "end": 2230.72, "word": " x", "probability": 0.64990234375}, {"start": 2230.72, "end": 2231.28, "word": " على", "probability": 0.6015625}, {"start": 2231.28, "end": 2231.72, "word": " a", "probability": 0.86572265625}, {"start": 2231.72, "end": 2232.92, "word": " وارسوم", "probability": 0.690673828125}, {"start": 2232.92, "end": 2233.04, "word": " له", "probability": 0.46435546875}, {"start": 2233.04, "end": 2233.82, "word": " المثلث", "probability": 0.9300537109375}, {"start": 2233.82, "end": 2234.58, "word": " القائم", "probability": 0.9423828125}, {"start": 2234.58, "end": 2235.26, "word": " الزاوية", "probability": 0.9349609375}, {"start": 2235.26, "end": 2235.86, "word": " هى", "probability": 0.5679931640625}, {"start": 2235.86, "end": 2236.08, "word": " θ", "probability": 0.59912109375}, {"start": 2236.08, "end": 2236.72, "word": " وهى", "probability": 0.673095703125}, {"start": 2236.72, "end": 2237.28, "word": " الزاوية", "probability": 0.969921875}, {"start": 2237.28, "end": 2237.96, "word": " القائمة", "probability": 0.98046875}], "temperature": 1.0}, {"id": 100, "seek": 225833, "start": 2238.43, "end": 2258.33, "text": "الـ J يسوى المقابل على الوطر يبقى هذا المقابل و هذا الوطر و هذا الجذر التربيع إلى A تربيع ناقص X تربيع إذا بجيب أي نسبة من النسبة المثلثية الستة طب افرض الجواب طلع ثيتا يا أخي", "tokens": [6027, 39184, 508, 7251, 3794, 2407, 7578, 9673, 4587, 16758, 1211, 15844, 2423, 2407, 9566, 2288, 7251, 3555, 4587, 7578, 23758, 9673, 4587, 16758, 1211, 4032, 23758, 2423, 2407, 9566, 2288, 4032, 23758, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 30731, 316, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3615, 11933, 15730, 4724, 7435, 1829, 3555, 36632, 8717, 35457, 3660, 9154, 28239, 35457, 3660, 9673, 12984, 1211, 12984, 10632, 21136, 2655, 3660, 23032, 3555, 1975, 5172, 43042, 25724, 14407, 3555, 23032, 1211, 3615, 38637, 36081, 995, 35186, 5551, 9778, 1829], "avg_logprob": -0.2001953156044086, "compression_ratio": 1.896341463414634, "no_speech_prob": 0.0, "words": [{"start": 2238.43, "end": 2238.87, "word": "الـ", "probability": 0.49853515625}, {"start": 2238.87, "end": 2239.07, "word": " J", "probability": 0.487548828125}, {"start": 2239.07, "end": 2239.67, "word": " يسوى", "probability": 0.6607666015625}, {"start": 2239.67, "end": 2240.71, "word": " المقابل", "probability": 0.9818115234375}, {"start": 2240.71, "end": 2241.49, "word": " على", "probability": 0.90576171875}, {"start": 2241.49, "end": 2242.09, "word": " الوطر", "probability": 0.89013671875}, {"start": 2242.09, "end": 2242.75, "word": " يبقى", "probability": 0.8955078125}, {"start": 2242.75, "end": 2243.09, "word": " هذا", "probability": 0.935546875}, {"start": 2243.09, "end": 2244.45, "word": " المقابل", "probability": 0.98388671875}, {"start": 2244.45, "end": 2244.97, "word": " و", "probability": 0.64892578125}, {"start": 2244.97, "end": 2245.35, "word": " هذا", "probability": 0.884765625}, {"start": 2245.35, "end": 2246.15, "word": " الوطر", "probability": 0.968505859375}, {"start": 2246.15, "end": 2246.57, "word": " و", "probability": 0.7578125}, {"start": 2246.57, "end": 2246.89, "word": " هذا", "probability": 0.95263671875}, {"start": 2246.89, "end": 2247.45, "word": " الجذر", "probability": 0.9156901041666666}, {"start": 2247.45, "end": 2248.19, "word": " التربيع", "probability": 0.71258544921875}, {"start": 2248.19, "end": 2248.49, "word": " إلى", "probability": 0.59716796875}, {"start": 2248.49, "end": 2248.79, "word": " A", "probability": 0.470947265625}, {"start": 2248.79, "end": 2249.49, "word": " تربيع", "probability": 0.87890625}, {"start": 2249.49, "end": 2250.21, "word": " ناقص", "probability": 0.841064453125}, {"start": 2250.21, "end": 2250.51, "word": " X", "probability": 0.93212890625}, {"start": 2250.51, "end": 2251.01, "word": " تربيع", "probability": 0.95556640625}, {"start": 2251.01, "end": 2251.61, "word": " إذا", "probability": 0.56689453125}, {"start": 2251.61, "end": 2252.17, "word": " بجيب", "probability": 0.9462890625}, {"start": 2252.17, "end": 2252.45, "word": " أي", "probability": 0.689453125}, {"start": 2252.45, "end": 2252.93, "word": " نسبة", "probability": 0.9957682291666666}, {"start": 2252.93, "end": 2253.09, "word": " من", "probability": 0.99072265625}, {"start": 2253.09, "end": 2253.57, "word": " النسبة", "probability": 0.7762044270833334}, {"start": 2253.57, "end": 2254.61, "word": " المثلثية", "probability": 0.96181640625}, {"start": 2254.61, "end": 2255.55, "word": " الستة", "probability": 0.7459309895833334}, {"start": 2255.55, "end": 2256.13, "word": " طب", "probability": 0.73046875}, {"start": 2256.13, "end": 2256.45, "word": " افرض", "probability": 0.919921875}, {"start": 2256.45, "end": 2256.95, "word": " الجواب", "probability": 0.94287109375}, {"start": 2256.95, "end": 2257.37, "word": " طلع", "probability": 0.6912434895833334}, {"start": 2257.37, "end": 2257.95, "word": " ثيتا", "probability": 0.675048828125}, {"start": 2257.95, "end": 2258.15, "word": " يا", "probability": 0.8623046875}, {"start": 2258.15, "end": 2258.33, "word": " أخي", "probability": 0.8385416666666666}], "temperature": 1.0}, {"id": 101, "seek": 228601, "start": 2259.09, "end": 2286.01, "text": "بقوله بسيطة جدا من هذه theta تساوي مين؟ ساين انفر سكس عليه وبالتالي بكون جبتها إذا انحليت كل المشاكل المتعلقة بمين بهذه التعويضة حد اللي هو اي تساؤل قبل ما اروح للتعويض تانية تانية هدول؟ في اي تساؤل؟ واضح وضوح الشمس في رابعة النهار يعني؟ طيب نمر اتنين", "tokens": [3555, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 9154, 29538, 9725, 6055, 3794, 995, 45865, 3714, 9957, 22807, 8608, 995, 9957, 16472, 5172, 2288, 8608, 4117, 3794, 47356, 46599, 6027, 2655, 6027, 1829, 4724, 30544, 10874, 3555, 2655, 11296, 11933, 15730, 16472, 5016, 20292, 2655, 28242, 9673, 8592, 995, 28820, 9673, 2655, 30241, 28671, 4724, 2304, 9957, 39627, 24192, 16712, 3615, 45865, 11242, 3660, 11331, 3215, 13672, 1829, 31439, 1975, 1829, 6055, 3794, 5718, 97, 1211, 12174, 36150, 19446, 1975, 32887, 5016, 24976, 2655, 3615, 45865, 11242, 6055, 7649, 10632, 6055, 7649, 10632, 8032, 3215, 12610, 22807, 8978, 1975, 1829, 6055, 3794, 5718, 97, 1211, 22807, 4032, 46958, 5016, 4032, 11242, 2407, 5016, 25124, 2304, 3794, 8978, 12602, 16758, 27884, 28239, 3224, 9640, 37495, 22653, 22807, 23032, 1829, 3555, 8717, 29973, 1975, 2655, 1863, 9957], "avg_logprob": -0.2515851570212323, "compression_ratio": 1.8518518518518519, "no_speech_prob": 0.0, "words": [{"start": 2259.09, "end": 2259.67, "word": "بقوله", "probability": 0.5677897135416666}, {"start": 2259.67, "end": 2260.23, "word": " بسيطة", "probability": 0.95166015625}, {"start": 2260.23, "end": 2260.49, "word": " جدا", "probability": 0.986572265625}, {"start": 2260.49, "end": 2260.89, "word": " من", "probability": 0.56982421875}, {"start": 2260.89, "end": 2261.39, "word": " هذه", "probability": 0.9169921875}, {"start": 2261.39, "end": 2262.15, "word": " theta", "probability": 0.1513671875}, {"start": 2262.15, "end": 2262.77, "word": " تساوي", "probability": 0.9248046875}, {"start": 2262.77, "end": 2263.33, "word": " مين؟", "probability": 0.66943359375}, {"start": 2263.33, "end": 2264.17, "word": " ساين", "probability": 0.6527506510416666}, {"start": 2264.17, "end": 2264.75, "word": " انفر", "probability": 0.7301432291666666}, {"start": 2264.75, "end": 2265.19, "word": " سكس", "probability": 0.8634440104166666}, {"start": 2265.19, "end": 2265.53, "word": " عليه", "probability": 0.6435546875}, {"start": 2265.53, "end": 2266.05, "word": " وبالتالي", "probability": 0.90673828125}, {"start": 2266.05, "end": 2266.45, "word": " بكون", "probability": 0.662109375}, {"start": 2266.45, "end": 2267.01, "word": " جبتها", "probability": 0.723388671875}, {"start": 2267.01, "end": 2267.45, "word": " إذا", "probability": 0.6458740234375}, {"start": 2267.45, "end": 2267.97, "word": " انحليت", "probability": 0.692626953125}, {"start": 2267.97, "end": 2268.37, "word": " كل", "probability": 0.97900390625}, {"start": 2268.37, "end": 2269.09, "word": " المشاكل", "probability": 0.994140625}, {"start": 2269.09, "end": 2270.01, "word": " المتعلقة", "probability": 0.9764404296875}, {"start": 2270.01, "end": 2270.51, "word": " بمين", "probability": 0.9820963541666666}, {"start": 2270.51, "end": 2271.61, "word": " بهذه", "probability": 0.938720703125}, {"start": 2271.61, "end": 2272.89, "word": " التعويضة", "probability": 0.90595703125}, {"start": 2272.89, "end": 2273.77, "word": " حد", "probability": 0.868896484375}, {"start": 2273.77, "end": 2273.91, "word": " اللي", "probability": 0.6085205078125}, {"start": 2273.91, "end": 2274.05, "word": " هو", "probability": 0.464599609375}, {"start": 2274.05, "end": 2274.15, "word": " اي", "probability": 0.5068359375}, {"start": 2274.15, "end": 2274.57, "word": " تساؤل", "probability": 0.91005859375}, {"start": 2274.57, "end": 2274.91, "word": " قبل", "probability": 0.984130859375}, {"start": 2274.91, "end": 2275.09, "word": " ما", "probability": 0.7724609375}, {"start": 2275.09, "end": 2275.31, "word": " اروح", "probability": 0.8146158854166666}, {"start": 2275.31, "end": 2275.83, "word": " للتعويض", "probability": 0.857177734375}, {"start": 2275.83, "end": 2276.23, "word": " تانية", "probability": 0.3875732421875}, {"start": 2276.23, "end": 2276.63, "word": " تانية", "probability": 0.7547200520833334}, {"start": 2276.63, "end": 2278.73, "word": " هدول؟", "probability": 0.67230224609375}, {"start": 2278.73, "end": 2278.91, "word": " في", "probability": 0.71240234375}, {"start": 2278.91, "end": 2279.15, "word": " اي", "probability": 0.84228515625}, {"start": 2279.15, "end": 2280.93, "word": " تساؤل؟", "probability": 0.9068196614583334}, {"start": 2280.93, "end": 2281.47, "word": " واضح", "probability": 0.9778645833333334}, {"start": 2281.47, "end": 2281.89, "word": " وضوح", "probability": 0.9432373046875}, {"start": 2281.89, "end": 2282.47, "word": " الشمس", "probability": 0.982421875}, {"start": 2282.47, "end": 2282.71, "word": " في", "probability": 0.95703125}, {"start": 2282.71, "end": 2283.25, "word": " رابعة", "probability": 0.97412109375}, {"start": 2283.25, "end": 2283.83, "word": " النهار", "probability": 0.9832356770833334}, {"start": 2283.83, "end": 2284.81, "word": " يعني؟", "probability": 0.7216796875}, {"start": 2284.81, "end": 2285.29, "word": " طيب", "probability": 0.8292643229166666}, {"start": 2285.29, "end": 2285.61, "word": " نمر", "probability": 0.84033203125}, {"start": 2285.61, "end": 2286.01, "word": " اتنين", "probability": 0.839599609375}], "temperature": 1.0}, {"id": 102, "seek": 231340, "start": 2287.52, "end": 2313.4, "text": "اذا الدل المرتقامولة اجتملت على الجدر و بس الجدر هذا يبقى هنا بقول الجدر التربية ل a تربيه زاد x تربيه او ل a تربيه زاد x تربيه كله to the power n بتحط بالتعودة x يساوي a tan θ والثتا محصولة من سلب باعتين إلى باعتين نفس التساؤلات تبعت ال sign theta اللي فوق", "tokens": [45636, 995, 32748, 1211, 9673, 43500, 4587, 10943, 12610, 3660, 1975, 7435, 39237, 1211, 2655, 15844, 25724, 3215, 2288, 4032, 4724, 3794, 25724, 3215, 2288, 23758, 7251, 3555, 4587, 7578, 34105, 4724, 39648, 25724, 3215, 2288, 16712, 2288, 21292, 3660, 5296, 257, 6055, 2288, 21292, 3224, 30767, 18513, 2031, 6055, 2288, 21292, 3224, 1975, 2407, 5296, 257, 6055, 2288, 21292, 3224, 30767, 18513, 2031, 6055, 2288, 21292, 3224, 28242, 3224, 281, 264, 1347, 297, 4724, 2655, 5016, 9566, 20666, 2655, 3615, 23328, 3660, 2031, 7251, 3794, 995, 45865, 257, 7603, 12622, 16070, 12984, 2655, 995, 3714, 5016, 9381, 12610, 3660, 9154, 8608, 46152, 4724, 995, 34268, 9957, 30731, 4724, 995, 34268, 9957, 8717, 36178, 16712, 3794, 5718, 97, 1211, 9307, 6055, 3555, 34268, 2423, 1465, 9725, 13672, 1829, 6156, 30543], "avg_logprob": -0.3034351185987924, "compression_ratio": 1.826271186440678, "no_speech_prob": 0.0, "words": [{"start": 2287.52, "end": 2287.9, "word": "اذا", "probability": 0.57330322265625}, {"start": 2287.9, "end": 2288.2, "word": " الدل", "probability": 0.432861328125}, {"start": 2288.2, "end": 2289.34, "word": " المرتقامولة", "probability": 0.5195719401041666}, {"start": 2289.34, "end": 2289.94, "word": " اجتملت", "probability": 0.680078125}, {"start": 2289.94, "end": 2290.18, "word": " على", "probability": 0.8525390625}, {"start": 2290.18, "end": 2290.96, "word": " الجدر", "probability": 0.8458658854166666}, {"start": 2290.96, "end": 2291.34, "word": " و", "probability": 0.396728515625}, {"start": 2291.34, "end": 2291.68, "word": " بس", "probability": 0.7327880859375}, {"start": 2291.68, "end": 2292.22, "word": " الجدر", "probability": 0.9456380208333334}, {"start": 2292.22, "end": 2292.58, "word": " هذا", "probability": 0.87060546875}, {"start": 2292.58, "end": 2293.28, "word": " يبقى", "probability": 0.940673828125}, {"start": 2293.28, "end": 2293.6, "word": " هنا", "probability": 0.990234375}, {"start": 2293.6, "end": 2294.24, "word": " بقول", "probability": 0.8515625}, {"start": 2294.24, "end": 2294.8, "word": " الجدر", "probability": 0.9664713541666666}, {"start": 2294.8, "end": 2295.3, "word": " التربية", "probability": 0.68304443359375}, {"start": 2295.3, "end": 2295.46, "word": " ل", "probability": 0.65869140625}, {"start": 2295.46, "end": 2295.6, "word": " a", "probability": 0.183349609375}, {"start": 2295.6, "end": 2296.04, "word": " تربيه", "probability": 0.7955322265625}, {"start": 2296.04, "end": 2296.36, "word": " زاد", "probability": 0.822265625}, {"start": 2296.36, "end": 2296.54, "word": " x", "probability": 0.8505859375}, {"start": 2296.54, "end": 2297.06, "word": " تربيه", "probability": 0.89892578125}, {"start": 2297.06, "end": 2297.3, "word": " او", "probability": 0.81396484375}, {"start": 2297.3, "end": 2297.4, "word": " ل", "probability": 0.8642578125}, {"start": 2297.4, "end": 2297.56, "word": " a", "probability": 0.95263671875}, {"start": 2297.56, "end": 2297.94, "word": " تربيه", "probability": 0.9757080078125}, {"start": 2297.94, "end": 2298.22, "word": " زاد", "probability": 0.9658203125}, {"start": 2298.22, "end": 2298.4, "word": " x", "probability": 0.98486328125}, {"start": 2298.4, "end": 2298.7, "word": " تربيه", "probability": 0.953369140625}, {"start": 2298.7, "end": 2299.04, "word": " كله", "probability": 0.950927734375}, {"start": 2299.04, "end": 2299.18, "word": " to", "probability": 0.75732421875}, {"start": 2299.18, "end": 2299.42, "word": " the", "probability": 0.91845703125}, {"start": 2299.42, "end": 2300.1, "word": " power", "probability": 0.91064453125}, {"start": 2300.1, "end": 2300.7, "word": " n", "probability": 0.319091796875}, {"start": 2300.7, "end": 2302.08, "word": " بتحط", "probability": 0.4305419921875}, {"start": 2302.08, "end": 2302.82, "word": " بالتعودة", "probability": 0.643115234375}, {"start": 2302.82, "end": 2303.14, "word": " x", "probability": 0.7509765625}, {"start": 2303.14, "end": 2303.8, "word": " يساوي", "probability": 0.900634765625}, {"start": 2303.8, "end": 2304.38, "word": " a", "probability": 0.94189453125}, {"start": 2304.38, "end": 2304.92, "word": " tan", "probability": 0.8408203125}, {"start": 2304.92, "end": 2305.34, "word": " θ", "probability": 0.66845703125}, {"start": 2305.34, "end": 2306.26, "word": " والثتا", "probability": 0.6541748046875}, {"start": 2306.26, "end": 2307.34, "word": " محصولة", "probability": 0.898046875}, {"start": 2307.34, "end": 2307.5, "word": " من", "probability": 0.9970703125}, {"start": 2307.5, "end": 2307.82, "word": " سلب", "probability": 0.492919921875}, {"start": 2307.82, "end": 2308.5, "word": " باعتين", "probability": 0.781005859375}, {"start": 2308.5, "end": 2308.74, "word": " إلى", "probability": 0.56298828125}, {"start": 2308.74, "end": 2309.4, "word": " باعتين", "probability": 0.9864501953125}, {"start": 2309.4, "end": 2310.44, "word": " نفس", "probability": 0.95263671875}, {"start": 2310.44, "end": 2311.54, "word": " التساؤلات", "probability": 0.894775390625}, {"start": 2311.54, "end": 2312.0, "word": " تبعت", "probability": 0.700927734375}, {"start": 2312.0, "end": 2312.22, "word": " ال", "probability": 0.8876953125}, {"start": 2312.22, "end": 2312.48, "word": " sign", "probability": 0.352783203125}, {"start": 2312.48, "end": 2312.84, "word": " theta", "probability": 0.336181640625}, {"start": 2312.84, "end": 2313.04, "word": " اللي", "probability": 0.81103515625}, {"start": 2313.04, "end": 2313.4, "word": " فوق", "probability": 0.967041015625}], "temperature": 1.0}, {"id": 103, "seek": 234319, "start": 2313.93, "end": 2343.19, "text": "هذا لأن لو أخذت X تربية وضعت بدلها A 10 بيصير A تربية 10 تربية ودل A تربية عامل مشترك بيظل واحد زائد 10 تربية اللي هي main سك تربية تطلع من تحت اليدر absolute value للسك لكن بها بها حصرت الزاوية ثيتا في الرضع الرابع والربع الأول والسك في هدين الرضعين معله موجب يتخلص من ال absolute value", "tokens": [3224, 15730, 5296, 33456, 45164, 5551, 9778, 8848, 2655, 1783, 6055, 2288, 21292, 3660, 4032, 11242, 3615, 2655, 47525, 1211, 11296, 316, 1266, 4724, 1829, 9381, 13546, 316, 6055, 2288, 21292, 3660, 1266, 6055, 2288, 21292, 3660, 4032, 3215, 1211, 316, 6055, 2288, 21292, 3660, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 1829, 19913, 1211, 36764, 24401, 30767, 16373, 3215, 1266, 6055, 2288, 21292, 3660, 13672, 1829, 39896, 2135, 8608, 4117, 6055, 2288, 21292, 3660, 6055, 9566, 1211, 3615, 9154, 6055, 33753, 2423, 25708, 2288, 8236, 2158, 24976, 3794, 4117, 44381, 4724, 11296, 4724, 11296, 11331, 9381, 43500, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 8978, 34892, 11242, 3615, 34892, 16758, 3615, 16070, 25513, 3615, 16247, 12610, 16070, 3794, 4117, 8978, 8032, 3215, 9957, 34892, 11242, 3615, 9957, 20449, 43761, 3714, 29245, 3555, 7251, 2655, 9778, 1211, 9381, 9154, 2423, 8236, 2158], "avg_logprob": -0.3446180410683155, "compression_ratio": 1.874015748031496, "no_speech_prob": 2.6524066925048828e-05, "words": [{"start": 2313.93, "end": 2314.43, "word": "هذا", "probability": 0.581298828125}, {"start": 2314.43, "end": 2314.71, "word": " لأن", "probability": 0.37176513671875}, {"start": 2314.71, "end": 2314.93, "word": " لو", "probability": 0.43115234375}, {"start": 2314.93, "end": 2315.25, "word": " أخذت", "probability": 0.59246826171875}, {"start": 2315.25, "end": 2315.49, "word": " X", "probability": 0.38427734375}, {"start": 2315.49, "end": 2315.87, "word": " تربية", "probability": 0.62384033203125}, {"start": 2315.87, "end": 2316.31, "word": " وضعت", "probability": 0.525970458984375}, {"start": 2316.31, "end": 2316.73, "word": " بدلها", "probability": 0.6963297526041666}, {"start": 2316.73, "end": 2317.11, "word": " A", "probability": 0.521484375}, {"start": 2317.11, "end": 2317.61, "word": " 10", "probability": 0.1956787109375}, {"start": 2317.61, "end": 2318.49, "word": " بيصير", "probability": 0.663238525390625}, {"start": 2318.49, "end": 2318.73, "word": " A", "probability": 0.705078125}, {"start": 2318.73, "end": 2319.41, "word": " تربية", "probability": 0.84228515625}, {"start": 2319.41, "end": 2319.81, "word": " 10", "probability": 0.408935546875}, {"start": 2319.81, "end": 2320.49, "word": " تربية", "probability": 0.8895263671875}, {"start": 2320.49, "end": 2321.01, "word": " ودل", "probability": 0.5135904947916666}, {"start": 2321.01, "end": 2321.13, "word": " A", "probability": 0.61669921875}, {"start": 2321.13, "end": 2321.49, "word": " تربية", "probability": 0.9146728515625}, {"start": 2321.49, "end": 2321.75, "word": " عامل", "probability": 0.87744140625}, {"start": 2321.75, "end": 2322.25, "word": " مشترك", "probability": 0.8460286458333334}, {"start": 2322.25, "end": 2322.87, "word": " بيظل", "probability": 0.7093505859375}, {"start": 2322.87, "end": 2323.11, "word": " واحد", "probability": 0.69921875}, {"start": 2323.11, "end": 2323.55, "word": " زائد", "probability": 0.8416341145833334}, {"start": 2323.55, "end": 2323.79, "word": " 10", "probability": 0.69287109375}, {"start": 2323.79, "end": 2324.13, "word": " تربية", "probability": 0.9105224609375}, {"start": 2324.13, "end": 2324.31, "word": " اللي", "probability": 0.6917724609375}, {"start": 2324.31, "end": 2324.45, "word": " هي", "probability": 0.93310546875}, {"start": 2324.45, "end": 2324.81, "word": " main", "probability": 0.475341796875}, {"start": 2324.81, "end": 2325.55, "word": " سك", "probability": 0.3551025390625}, {"start": 2325.55, "end": 2325.99, "word": " تربية", "probability": 0.9053955078125}, {"start": 2325.99, "end": 2326.41, "word": " تطلع", "probability": 0.950927734375}, {"start": 2326.41, "end": 2326.59, "word": " من", "probability": 0.98486328125}, {"start": 2326.59, "end": 2326.95, "word": " تحت", "probability": 0.97900390625}, {"start": 2326.95, "end": 2327.33, "word": " اليدر", "probability": 0.7980143229166666}, {"start": 2327.33, "end": 2327.73, "word": " absolute", "probability": 0.47705078125}, {"start": 2327.73, "end": 2328.49, "word": " value", "probability": 0.990234375}, {"start": 2328.49, "end": 2329.43, "word": " للسك", "probability": 0.7888997395833334}, {"start": 2329.43, "end": 2330.45, "word": " لكن", "probability": 0.74169921875}, {"start": 2330.45, "end": 2331.03, "word": " بها", "probability": 0.563720703125}, {"start": 2331.03, "end": 2331.45, "word": " بها", "probability": 0.916259765625}, {"start": 2331.45, "end": 2332.83, "word": " حصرت", "probability": 0.9103190104166666}, {"start": 2332.83, "end": 2333.77, "word": " الزاوية", "probability": 0.87861328125}, {"start": 2333.77, "end": 2334.17, "word": " ثيتا", "probability": 0.5288899739583334}, {"start": 2334.17, "end": 2334.31, "word": " في", "probability": 0.80712890625}, {"start": 2334.31, "end": 2334.65, "word": " الرضع", "probability": 0.75634765625}, {"start": 2334.65, "end": 2335.29, "word": " الرابع", "probability": 0.9833984375}, {"start": 2335.29, "end": 2336.05, "word": " والربع", "probability": 0.6814778645833334}, {"start": 2336.05, "end": 2336.99, "word": " الأول", "probability": 0.8623046875}, {"start": 2336.99, "end": 2337.61, "word": " والسك", "probability": 0.9132486979166666}, {"start": 2337.61, "end": 2337.79, "word": " في", "probability": 0.9384765625}, {"start": 2337.79, "end": 2338.21, "word": " هدين", "probability": 0.76953125}, {"start": 2338.21, "end": 2338.77, "word": " الرضعين", "probability": 0.9520263671875}, {"start": 2338.77, "end": 2339.29, "word": " معله", "probability": 0.599365234375}, {"start": 2339.29, "end": 2340.23, "word": " موجب", "probability": 0.8427734375}, {"start": 2340.23, "end": 2341.09, "word": " يتخلص", "probability": 0.770947265625}, {"start": 2341.09, "end": 2341.43, "word": " من", "probability": 0.98974609375}, {"start": 2341.43, "end": 2341.81, "word": " ال", "probability": 0.68505859375}, {"start": 2341.81, "end": 2342.27, "word": " absolute", "probability": 0.92431640625}, {"start": 2342.27, "end": 2343.19, "word": " value", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 104, "seek": 236832, "start": 2343.92, "end": 2368.32, "text": "طيب يبقى عرفنا ما هو هذه الطاقة بدنا نيجي لو جينا فاضل هنا بد يكون عندك DX بد يسوى A سك تربيع ثيتا D ثيتا تمام؟ بدك تروح ترسم المثلث لإنه ممكن يطلع عندك سك تان inverse و لا غير و إلا أفشل إيه؟ يبقى باجي بقوله هاي المثلث اللي عندنا", "tokens": [9566, 1829, 3555, 7251, 3555, 4587, 7578, 6225, 28480, 8315, 19446, 31439, 29538, 41950, 995, 28671, 47525, 8315, 8717, 1829, 7435, 1829, 45164, 10874, 1829, 8315, 6156, 46958, 1211, 34105, 47525, 7251, 30544, 43242, 4117, 48817, 47525, 7251, 3794, 2407, 7578, 316, 8608, 4117, 6055, 2288, 21292, 3615, 38637, 36081, 995, 413, 38637, 36081, 995, 46811, 10943, 22807, 47525, 4117, 6055, 32887, 5016, 6055, 2288, 38251, 9673, 12984, 1211, 12984, 5296, 28814, 1863, 3224, 3714, 43020, 7251, 9566, 1211, 3615, 43242, 4117, 8608, 4117, 6055, 7649, 17340, 4032, 20193, 32771, 13546, 4032, 11933, 15040, 5551, 5172, 8592, 1211, 11933, 1829, 3224, 22807, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 8032, 47302, 9673, 12984, 1211, 12984, 13672, 1829, 43242, 8315], "avg_logprob": -0.2848068999081123, "compression_ratio": 1.7198275862068966, "no_speech_prob": 0.0, "words": [{"start": 2343.92, "end": 2344.72, "word": "طيب", "probability": 0.6680094401041666}, {"start": 2344.72, "end": 2345.3, "word": " يبقى", "probability": 0.8636474609375}, {"start": 2345.3, "end": 2345.74, "word": " عرفنا", "probability": 0.7945963541666666}, {"start": 2345.74, "end": 2345.98, "word": " ما", "probability": 0.751953125}, {"start": 2345.98, "end": 2346.22, "word": " هو", "probability": 0.7275390625}, {"start": 2346.22, "end": 2346.5, "word": " هذه", "probability": 0.6171875}, {"start": 2346.5, "end": 2346.82, "word": " الطاقة", "probability": 0.5182291666666666}, {"start": 2346.82, "end": 2347.28, "word": " بدنا", "probability": 0.60076904296875}, {"start": 2347.28, "end": 2347.72, "word": " نيجي", "probability": 0.81072998046875}, {"start": 2347.72, "end": 2348.3, "word": " لو", "probability": 0.76171875}, {"start": 2348.3, "end": 2348.66, "word": " جينا", "probability": 0.984375}, {"start": 2348.66, "end": 2349.38, "word": " فاضل", "probability": 0.68115234375}, {"start": 2349.38, "end": 2349.68, "word": " هنا", "probability": 0.82958984375}, {"start": 2349.68, "end": 2349.96, "word": " بد", "probability": 0.63330078125}, {"start": 2349.96, "end": 2350.4, "word": " يكون", "probability": 0.72607421875}, {"start": 2350.4, "end": 2351.02, "word": " عندك", "probability": 0.979248046875}, {"start": 2351.02, "end": 2351.6, "word": " DX", "probability": 0.4384765625}, {"start": 2351.6, "end": 2351.94, "word": " بد", "probability": 0.307861328125}, {"start": 2351.94, "end": 2352.58, "word": " يسوى", "probability": 0.7691650390625}, {"start": 2352.58, "end": 2353.02, "word": " A", "probability": 0.712890625}, {"start": 2353.02, "end": 2353.52, "word": " سك", "probability": 0.51153564453125}, {"start": 2353.52, "end": 2354.34, "word": " تربيع", "probability": 0.70703125}, {"start": 2354.34, "end": 2355.58, "word": " ثيتا", "probability": 0.6464029947916666}, {"start": 2355.58, "end": 2355.86, "word": " D", "probability": 0.8603515625}, {"start": 2355.86, "end": 2356.88, "word": " ثيتا", "probability": 0.86767578125}, {"start": 2356.88, "end": 2358.3, "word": " تمام؟", "probability": 0.681396484375}, {"start": 2358.3, "end": 2358.6, "word": " بدك", "probability": 0.9296875}, {"start": 2358.6, "end": 2358.96, "word": " تروح", "probability": 0.98974609375}, {"start": 2358.96, "end": 2359.42, "word": " ترسم", "probability": 0.9853515625}, {"start": 2359.42, "end": 2360.12, "word": " المثلث", "probability": 0.970947265625}, {"start": 2360.12, "end": 2360.46, "word": " لإنه", "probability": 0.7430419921875}, {"start": 2360.46, "end": 2360.74, "word": " ممكن", "probability": 0.954345703125}, {"start": 2360.74, "end": 2361.22, "word": " يطلع", "probability": 0.9879150390625}, {"start": 2361.22, "end": 2361.66, "word": " عندك", "probability": 0.98974609375}, {"start": 2361.66, "end": 2362.12, "word": " سك", "probability": 0.937744140625}, {"start": 2362.12, "end": 2362.58, "word": " تان", "probability": 0.677490234375}, {"start": 2362.58, "end": 2363.08, "word": " inverse", "probability": 0.64013671875}, {"start": 2363.08, "end": 2363.28, "word": " و", "probability": 0.46044921875}, {"start": 2363.28, "end": 2363.38, "word": " لا", "probability": 0.73681640625}, {"start": 2363.38, "end": 2363.62, "word": " غير", "probability": 0.992431640625}, {"start": 2363.62, "end": 2363.72, "word": " و", "probability": 0.4208984375}, {"start": 2363.72, "end": 2363.9, "word": " إلا", "probability": 0.662353515625}, {"start": 2363.9, "end": 2364.28, "word": " أفشل", "probability": 0.585601806640625}, {"start": 2364.28, "end": 2364.84, "word": " إيه؟", "probability": 0.7666015625}, {"start": 2364.84, "end": 2365.12, "word": " يبقى", "probability": 0.9815673828125}, {"start": 2365.12, "end": 2365.46, "word": " باجي", "probability": 0.8525390625}, {"start": 2365.46, "end": 2365.94, "word": " بقوله", "probability": 0.8108723958333334}, {"start": 2365.94, "end": 2366.26, "word": " هاي", "probability": 0.640380859375}, {"start": 2366.26, "end": 2367.44, "word": " المثلث", "probability": 0.9918212890625}, {"start": 2367.44, "end": 2367.76, "word": " اللي", "probability": 0.924072265625}, {"start": 2367.76, "end": 2368.32, "word": " عندنا", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 105, "seek": 239276, "start": 2368.64, "end": 2392.76, "text": "وهذه الزاوية تيتا وهي الزاوية القائمة الظل يساوي لو جسمت هذه بيصير هذه X على A بيساوي تاني الزاوية تيتا الظل يساوي المقابل على المجاور يبقى الظل على التالت حسب في ثغور في A تربيع زائد X تربيع", "tokens": [2407, 3224, 24192, 6024, 110, 995, 2407, 10632, 6055, 36081, 995, 37037, 1829, 6024, 110, 995, 2407, 10632, 25062, 16373, 46007, 6024, 116, 1211, 7251, 3794, 995, 45865, 45164, 10874, 38251, 2655, 29538, 4724, 1829, 9381, 13546, 29538, 1783, 15844, 316, 4724, 1829, 3794, 995, 45865, 6055, 7649, 1829, 6024, 110, 995, 2407, 10632, 6055, 36081, 995, 6024, 116, 1211, 7251, 3794, 995, 45865, 9673, 4587, 16758, 1211, 15844, 9673, 7435, 995, 13063, 7251, 3555, 4587, 7578, 6024, 116, 1211, 15844, 16712, 6027, 2655, 11331, 35457, 8978, 38637, 17082, 13063, 8978, 316, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3615], "avg_logprob": -0.22217261791229248, "compression_ratio": 2.0792682926829267, "no_speech_prob": 0.0, "words": [{"start": 2368.64, "end": 2369.22, "word": "وهذه", "probability": 0.5115559895833334}, {"start": 2369.22, "end": 2369.72, "word": " الزاوية", "probability": 0.9435546875}, {"start": 2369.72, "end": 2370.14, "word": " تيتا", "probability": 0.6775716145833334}, {"start": 2370.14, "end": 2370.48, "word": " وهي", "probability": 0.648681640625}, {"start": 2370.48, "end": 2371.16, "word": " الزاوية", "probability": 0.94912109375}, {"start": 2371.16, "end": 2371.86, "word": " القائمة", "probability": 0.93408203125}, {"start": 2371.86, "end": 2373.44, "word": " الظل", "probability": 0.8458658854166666}, {"start": 2373.44, "end": 2374.5, "word": " يساوي", "probability": 0.912109375}, {"start": 2374.5, "end": 2374.7, "word": " لو", "probability": 0.2120361328125}, {"start": 2374.7, "end": 2375.38, "word": " جسمت", "probability": 0.8346354166666666}, {"start": 2375.38, "end": 2375.62, "word": " هذه", "probability": 0.5986328125}, {"start": 2375.62, "end": 2376.1, "word": " بيصير", "probability": 0.74957275390625}, {"start": 2376.1, "end": 2376.46, "word": " هذه", "probability": 0.83251953125}, {"start": 2376.46, "end": 2376.98, "word": " X", "probability": 0.513671875}, {"start": 2376.98, "end": 2377.86, "word": " على", "probability": 0.63232421875}, {"start": 2377.86, "end": 2378.36, "word": " A", "probability": 0.51611328125}, {"start": 2378.36, "end": 2379.7, "word": " بيساوي", "probability": 0.6212890625}, {"start": 2379.7, "end": 2380.4, "word": " تاني", "probability": 0.9142252604166666}, {"start": 2380.4, "end": 2380.92, "word": " الزاوية", "probability": 0.92431640625}, {"start": 2380.92, "end": 2381.46, "word": " تيتا", "probability": 0.9554036458333334}, {"start": 2381.46, "end": 2382.42, "word": " الظل", "probability": 0.9117838541666666}, {"start": 2382.42, "end": 2383.14, "word": " يساوي", "probability": 0.9776611328125}, {"start": 2383.14, "end": 2384.48, "word": " المقابل", "probability": 0.9921875}, {"start": 2384.48, "end": 2384.96, "word": " على", "probability": 0.880859375}, {"start": 2384.96, "end": 2385.98, "word": " المجاور", "probability": 0.9693603515625}, {"start": 2385.98, "end": 2386.78, "word": " يبقى", "probability": 0.9580078125}, {"start": 2386.78, "end": 2387.08, "word": " الظل", "probability": 0.9420572916666666}, {"start": 2387.08, "end": 2387.22, "word": " على", "probability": 0.68115234375}, {"start": 2387.22, "end": 2387.76, "word": " التالت", "probability": 0.8680013020833334}, {"start": 2387.76, "end": 2388.26, "word": " حسب", "probability": 0.970703125}, {"start": 2388.26, "end": 2388.48, "word": " في", "probability": 0.3603515625}, {"start": 2388.48, "end": 2389.34, "word": " ثغور", "probability": 0.7206217447916666}, {"start": 2389.34, "end": 2389.56, "word": " في", "probability": 0.3232421875}, {"start": 2389.56, "end": 2389.9, "word": " A", "probability": 0.70849609375}, {"start": 2389.9, "end": 2390.7, "word": " تربيع", "probability": 0.8372802734375}, {"start": 2390.7, "end": 2391.76, "word": " زائد", "probability": 0.8704427083333334}, {"start": 2391.76, "end": 2392.18, "word": " X", "probability": 0.98681640625}, {"start": 2392.18, "end": 2392.76, "word": " تربيع", "probability": 0.9381103515625}], "temperature": 1.0}, {"id": 106, "seek": 242067, "start": 2394.77, "end": 2420.67, "text": "بتجيب أي نسبة من النسب المثلثية الستة من خلال المثلث اللي قدامنا هنا نجي للحالة التالتة الحالة التالتة إذا كانت دالة المراتة كمولة تحتوي على الجذر هذا أو الجوس اللي عندنا هنا بقول بتحط ال X يساوي جداش A سك وحصرنا θ في الرابع الأول من عند Zero لغاية مين باي على اتنين", "tokens": [3555, 2655, 7435, 1829, 3555, 36632, 8717, 35457, 3660, 9154, 28239, 35457, 9673, 12984, 1211, 12984, 10632, 2423, 14851, 3660, 9154, 16490, 1211, 6027, 9673, 12984, 1211, 12984, 13672, 1829, 12174, 3215, 10943, 8315, 34105, 8717, 7435, 1829, 24976, 5016, 6027, 3660, 16712, 6027, 2655, 3660, 21542, 6027, 3660, 16712, 6027, 2655, 3660, 11933, 15730, 25961, 2655, 11778, 6027, 3660, 9673, 2288, 9307, 3660, 9122, 2304, 12610, 3660, 6055, 33753, 45865, 15844, 25724, 8848, 2288, 23758, 34051, 25724, 41779, 13672, 1829, 43242, 8315, 34105, 4724, 39648, 4724, 2655, 5016, 9566, 2423, 1783, 7251, 3794, 995, 45865, 10874, 3215, 33599, 316, 8608, 4117, 4032, 5016, 9381, 2288, 8315, 12622, 8978, 34892, 16758, 3615, 16247, 12610, 9154, 43242, 17182, 5296, 17082, 995, 10632, 3714, 9957, 4724, 47302, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.31106870593005465, "compression_ratio": 1.975, "no_speech_prob": 0.0, "words": [{"start": 2394.77, "end": 2395.69, "word": "بتجيب", "probability": 0.485107421875}, {"start": 2395.69, "end": 2396.03, "word": " أي", "probability": 0.609375}, {"start": 2396.03, "end": 2396.59, "word": " نسبة", "probability": 0.97998046875}, {"start": 2396.59, "end": 2396.75, "word": " من", "probability": 0.9453125}, {"start": 2396.75, "end": 2397.17, "word": " النسب", "probability": 0.807373046875}, {"start": 2397.17, "end": 2398.11, "word": " المثلثية", "probability": 0.8251953125}, {"start": 2398.11, "end": 2398.65, "word": " الستة", "probability": 0.6599934895833334}, {"start": 2398.65, "end": 2398.77, "word": " من", "probability": 0.94384765625}, {"start": 2398.77, "end": 2399.31, "word": " خلال", "probability": 0.95068359375}, {"start": 2399.31, "end": 2400.89, "word": " المثلث", "probability": 0.74090576171875}, {"start": 2400.89, "end": 2401.05, "word": " اللي", "probability": 0.715576171875}, {"start": 2401.05, "end": 2401.67, "word": " قدامنا", "probability": 0.9193115234375}, {"start": 2401.67, "end": 2401.91, "word": " هنا", "probability": 0.3515625}, {"start": 2401.91, "end": 2402.99, "word": " نجي", "probability": 0.8308919270833334}, {"start": 2402.99, "end": 2403.69, "word": " للحالة", "probability": 0.85052490234375}, {"start": 2403.69, "end": 2404.21, "word": " التالتة", "probability": 0.9510498046875}, {"start": 2404.21, "end": 2404.71, "word": " الحالة", "probability": 0.7972819010416666}, {"start": 2404.71, "end": 2405.39, "word": " التالتة", "probability": 0.979248046875}, {"start": 2405.39, "end": 2406.03, "word": " إذا", "probability": 0.866943359375}, {"start": 2406.03, "end": 2406.49, "word": " كانت", "probability": 0.93994140625}, {"start": 2406.49, "end": 2406.77, "word": " دالة", "probability": 0.8128255208333334}, {"start": 2406.77, "end": 2407.33, "word": " المراتة", "probability": 0.58404541015625}, {"start": 2407.33, "end": 2407.73, "word": " كمولة", "probability": 0.73919677734375}, {"start": 2407.73, "end": 2408.25, "word": " تحتوي", "probability": 0.9899088541666666}, {"start": 2408.25, "end": 2408.49, "word": " على", "probability": 0.90771484375}, {"start": 2408.49, "end": 2409.01, "word": " الجذر", "probability": 0.9602864583333334}, {"start": 2409.01, "end": 2409.41, "word": " هذا", "probability": 0.892578125}, {"start": 2409.41, "end": 2409.75, "word": " أو", "probability": 0.79345703125}, {"start": 2409.75, "end": 2410.19, "word": " الجوس", "probability": 0.6298828125}, {"start": 2410.19, "end": 2410.37, "word": " اللي", "probability": 0.9541015625}, {"start": 2410.37, "end": 2410.69, "word": " عندنا", "probability": 0.7410888671875}, {"start": 2410.69, "end": 2410.93, "word": " هنا", "probability": 0.93994140625}, {"start": 2410.93, "end": 2411.67, "word": " بقول", "probability": 0.554443359375}, {"start": 2411.67, "end": 2412.31, "word": " بتحط", "probability": 0.64520263671875}, {"start": 2412.31, "end": 2412.47, "word": " ال", "probability": 0.51611328125}, {"start": 2412.47, "end": 2412.71, "word": " X", "probability": 0.337646484375}, {"start": 2412.71, "end": 2413.15, "word": " يساوي", "probability": 0.8662109375}, {"start": 2413.15, "end": 2413.77, "word": " جداش", "probability": 0.660888671875}, {"start": 2413.77, "end": 2414.19, "word": " A", "probability": 0.35546875}, {"start": 2414.19, "end": 2414.55, "word": " سك", "probability": 0.42572021484375}, {"start": 2414.55, "end": 2415.31, "word": " وحصرنا", "probability": 0.8974609375}, {"start": 2415.31, "end": 2415.49, "word": " θ", "probability": 0.60791015625}, {"start": 2415.49, "end": 2415.75, "word": " في", "probability": 0.6591796875}, {"start": 2415.75, "end": 2416.25, "word": " الرابع", "probability": 0.8645833333333334}, {"start": 2416.25, "end": 2416.91, "word": " الأول", "probability": 0.9716796875}, {"start": 2416.91, "end": 2417.51, "word": " من", "probability": 0.9599609375}, {"start": 2417.51, "end": 2417.85, "word": " عند", "probability": 0.77001953125}, {"start": 2417.85, "end": 2418.23, "word": " Zero", "probability": 0.23095703125}, {"start": 2418.23, "end": 2418.67, "word": " لغاية", "probability": 0.97900390625}, {"start": 2418.67, "end": 2419.17, "word": " مين", "probability": 0.555908203125}, {"start": 2419.17, "end": 2419.95, "word": " باي", "probability": 0.4373779296875}, {"start": 2419.95, "end": 2420.21, "word": " على", "probability": 0.87451171875}, {"start": 2420.21, "end": 2420.67, "word": " اتنين", "probability": 0.9534912109375}], "temperature": 1.0}, {"id": 107, "seek": 242988, "start": 2421.1, "end": 2429.88, "text": "يبقى لما الربيع بصير ايه تربية سيك تربية، هو اللي ايه تربية عامل مشترك، بيبقى الهمين", "tokens": [1829, 3555, 4587, 7578, 5296, 15042, 34892, 21292, 3615, 4724, 9381, 13546, 1975, 1829, 3224, 6055, 25513, 10632, 8608, 1829, 4117, 6055, 25513, 10632, 12399, 31439, 13672, 1829, 1975, 1829, 3224, 6055, 25513, 10632, 6225, 10943, 1211, 37893, 2655, 31747, 12399, 4724, 1829, 3555, 4587, 7578, 2423, 16095, 9957], "avg_logprob": -0.20265624463558196, "compression_ratio": 1.59375, "no_speech_prob": 0.0, "words": [{"start": 2421.1, "end": 2421.86, "word": "يبقى", "probability": 0.87841796875}, {"start": 2421.86, "end": 2422.38, "word": " لما", "probability": 0.85205078125}, {"start": 2422.38, "end": 2422.92, "word": " الربيع", "probability": 0.7263997395833334}, {"start": 2422.92, "end": 2423.38, "word": " بصير", "probability": 0.8828125}, {"start": 2423.38, "end": 2423.86, "word": " ايه", "probability": 0.6538899739583334}, {"start": 2423.86, "end": 2424.48, "word": " تربية", "probability": 0.9295247395833334}, {"start": 2424.48, "end": 2425.0, "word": " سيك", "probability": 0.693359375}, {"start": 2425.0, "end": 2425.68, "word": " تربية،", "probability": 0.8858642578125}, {"start": 2425.68, "end": 2425.9, "word": " هو", "probability": 0.65283203125}, {"start": 2425.9, "end": 2426.1, "word": " اللي", "probability": 0.984375}, {"start": 2426.1, "end": 2426.32, "word": " ايه", "probability": 0.970703125}, {"start": 2426.32, "end": 2426.66, "word": " تربية", "probability": 0.9739583333333334}, {"start": 2426.66, "end": 2427.12, "word": " عامل", "probability": 0.9786783854166666}, {"start": 2427.12, "end": 2428.44, "word": " مشترك،", "probability": 0.8411865234375}, {"start": 2428.44, "end": 2429.14, "word": " بيبقى", "probability": 0.91953125}, {"start": 2429.14, "end": 2429.88, "word": " الهمين", "probability": 0.6277669270833334}], "temperature": 1.0}, {"id": 108, "seek": 244309, "start": 2431.13, "end": 2443.09, "text": "بظل سك تربيع ناقص واحد اللي هو مين تان تربيع تطلع من تحت الجدرى absolute value لتان في الرابع الأول كل النسب موجة بيجي أشيل ال absolute value", "tokens": [3555, 19913, 1211, 8608, 4117, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 36764, 24401, 13672, 1829, 31439, 3714, 9957, 6055, 7649, 6055, 2288, 21292, 3615, 6055, 9566, 1211, 3615, 9154, 6055, 33753, 25724, 3215, 2288, 7578, 8236, 2158, 5296, 2655, 7649, 8978, 34892, 16758, 3615, 16247, 12610, 28242, 28239, 35457, 3714, 29245, 3660, 4724, 1829, 7435, 1829, 5551, 8592, 26895, 2423, 8236, 2158], "avg_logprob": -0.29759615384615384, "compression_ratio": 1.4870129870129871, "no_speech_prob": 0.134521484375, "words": [{"start": 2431.13, "end": 2431.79, "word": "بظل", "probability": 0.4535725911458333}, {"start": 2431.79, "end": 2432.31, "word": " سك", "probability": 0.4530029296875}, {"start": 2432.31, "end": 2433.05, "word": " تربيع", "probability": 0.7015380859375}, {"start": 2433.05, "end": 2433.53, "word": " ناقص", "probability": 0.93017578125}, {"start": 2433.53, "end": 2433.75, "word": " واحد", "probability": 0.9619140625}, {"start": 2433.75, "end": 2433.89, "word": " اللي", "probability": 0.5958251953125}, {"start": 2433.89, "end": 2434.01, "word": " هو", "probability": 0.6923828125}, {"start": 2434.01, "end": 2434.37, "word": " مين", "probability": 0.80078125}, {"start": 2434.37, "end": 2435.13, "word": " تان", "probability": 0.72998046875}, {"start": 2435.13, "end": 2435.59, "word": " تربيع", "probability": 0.89208984375}, {"start": 2435.59, "end": 2435.99, "word": " تطلع", "probability": 0.9290771484375}, {"start": 2435.99, "end": 2436.15, "word": " من", "probability": 0.982421875}, {"start": 2436.15, "end": 2436.43, "word": " تحت", "probability": 0.9892578125}, {"start": 2436.43, "end": 2436.81, "word": " الجدرى", "probability": 0.7487335205078125}, {"start": 2436.81, "end": 2437.13, "word": " absolute", "probability": 0.77978515625}, {"start": 2437.13, "end": 2437.65, "word": " value", "probability": 0.98974609375}, {"start": 2437.65, "end": 2438.21, "word": " لتان", "probability": 0.9446614583333334}, {"start": 2438.21, "end": 2438.71, "word": " في", "probability": 0.447509765625}, {"start": 2438.71, "end": 2439.07, "word": " الرابع", "probability": 0.7928059895833334}, {"start": 2439.07, "end": 2439.57, "word": " الأول", "probability": 0.923828125}, {"start": 2439.57, "end": 2439.95, "word": " كل", "probability": 0.94287109375}, {"start": 2439.95, "end": 2440.41, "word": " النسب", "probability": 0.682373046875}, {"start": 2440.41, "end": 2440.85, "word": " موجة", "probability": 0.8606770833333334}, {"start": 2440.85, "end": 2441.07, "word": " بيجي", "probability": 0.8541259765625}, {"start": 2441.07, "end": 2441.39, "word": " أشيل", "probability": 0.769287109375}, {"start": 2441.39, "end": 2441.55, "word": " ال", "probability": 0.8056640625}, {"start": 2441.55, "end": 2441.97, "word": " absolute", "probability": 0.9443359375}, {"start": 2441.97, "end": 2443.09, "word": " value", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 109, "seek": 248678, "start": 2461.22, "end": 2486.78, "text": "السك يساوي ال water على المجاور يبقى ال water x والمجاور a حسب فيه ثغر الظلع التالت x تربية ناقص a تربية وبالتالي بقدر اجيب النسب المثلثية الستة هذه لو جيت اشتقتها تعطيني ال dx يساوي a سك ثيتا تان ثيتا", "tokens": [6027, 3794, 4117, 7251, 3794, 995, 45865, 2423, 1281, 15844, 9673, 7435, 995, 13063, 7251, 3555, 4587, 7578, 2423, 1281, 2031, 16070, 2304, 7435, 995, 13063, 257, 11331, 35457, 8978, 3224, 38637, 17082, 2288, 6024, 116, 1211, 3615, 16712, 6027, 2655, 2031, 6055, 25513, 10632, 8717, 995, 4587, 9381, 257, 6055, 25513, 10632, 46599, 6027, 2655, 6027, 1829, 4724, 28543, 2288, 1975, 7435, 1829, 3555, 28239, 35457, 9673, 12984, 1211, 12984, 10632, 2423, 14851, 3660, 29538, 45164, 10874, 36081, 1975, 8592, 2655, 38149, 11296, 37279, 9566, 9957, 1829, 2423, 30017, 7251, 3794, 995, 45865, 257, 8608, 4117, 38637, 36081, 995, 6055, 7649, 38637, 36081, 995], "avg_logprob": -0.22612028245655996, "compression_ratio": 1.8253968253968254, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2461.22, "end": 2462.2, "word": "السك", "probability": 0.3382364908854167}, {"start": 2462.2, "end": 2462.76, "word": " يساوي", "probability": 0.78936767578125}, {"start": 2462.76, "end": 2462.92, "word": " ال", "probability": 0.89111328125}, {"start": 2462.92, "end": 2463.26, "word": " water", "probability": 0.8818359375}, {"start": 2463.26, "end": 2464.7, "word": " على", "probability": 0.73046875}, {"start": 2464.7, "end": 2465.58, "word": " المجاور", "probability": 0.9798583984375}, {"start": 2465.58, "end": 2466.02, "word": " يبقى", "probability": 0.874267578125}, {"start": 2466.02, "end": 2466.2, "word": " ال", "probability": 0.88525390625}, {"start": 2466.2, "end": 2466.56, "word": " water", "probability": 0.93701171875}, {"start": 2466.56, "end": 2467.08, "word": " x", "probability": 0.41796875}, {"start": 2467.08, "end": 2468.58, "word": " والمجاور", "probability": 0.888916015625}, {"start": 2468.58, "end": 2469.02, "word": " a", "probability": 0.72900390625}, {"start": 2469.02, "end": 2469.8, "word": " حسب", "probability": 0.975830078125}, {"start": 2469.8, "end": 2470.16, "word": " فيه", "probability": 0.637451171875}, {"start": 2470.16, "end": 2470.84, "word": " ثغر", "probability": 0.8709309895833334}, {"start": 2470.84, "end": 2471.68, "word": " الظلع", "probability": 0.6419677734375}, {"start": 2471.68, "end": 2472.32, "word": " التالت", "probability": 0.93017578125}, {"start": 2472.32, "end": 2472.7, "word": " x", "probability": 0.80908203125}, {"start": 2472.7, "end": 2473.2, "word": " تربية", "probability": 0.8111979166666666}, {"start": 2473.2, "end": 2473.72, "word": " ناقص", "probability": 0.8214111328125}, {"start": 2473.72, "end": 2473.92, "word": " a", "probability": 0.96728515625}, {"start": 2473.92, "end": 2474.42, "word": " تربية", "probability": 0.9586588541666666}, {"start": 2474.42, "end": 2475.48, "word": " وبالتالي", "probability": 0.9240234375}, {"start": 2475.48, "end": 2475.88, "word": " بقدر", "probability": 0.93603515625}, {"start": 2475.88, "end": 2476.14, "word": " اجيب", "probability": 0.8538818359375}, {"start": 2476.14, "end": 2476.54, "word": " النسب", "probability": 0.867919921875}, {"start": 2476.54, "end": 2477.66, "word": " المثلثية", "probability": 0.884765625}, {"start": 2477.66, "end": 2478.52, "word": " الستة", "probability": 0.75146484375}, {"start": 2478.52, "end": 2479.12, "word": " هذه", "probability": 0.7763671875}, {"start": 2479.12, "end": 2479.4, "word": " لو", "probability": 0.89892578125}, {"start": 2479.4, "end": 2479.7, "word": " جيت", "probability": 0.902587890625}, {"start": 2479.7, "end": 2480.78, "word": " اشتقتها", "probability": 0.892578125}, {"start": 2480.78, "end": 2481.68, "word": " تعطيني", "probability": 0.8515625}, {"start": 2481.68, "end": 2481.78, "word": " ال", "probability": 0.446044921875}, {"start": 2481.78, "end": 2482.28, "word": " dx", "probability": 0.81005859375}, {"start": 2482.28, "end": 2483.16, "word": " يساوي", "probability": 0.9576416015625}, {"start": 2483.16, "end": 2483.7, "word": " a", "probability": 0.90087890625}, {"start": 2483.7, "end": 2484.52, "word": " سك", "probability": 0.532379150390625}, {"start": 2484.52, "end": 2485.42, "word": " ثيتا", "probability": 0.6751302083333334}, {"start": 2485.42, "end": 2485.96, "word": " تان", "probability": 0.93994140625}, {"start": 2485.96, "end": 2486.78, "word": " ثيتا", "probability": 0.9363606770833334}], "temperature": 1.0}, {"id": 110, "seek": 251505, "start": 2488.67, "end": 2515.05, "text": "تغير كل حاجة اسمها x تماما و يغيرها بمين بالمتغير θ بدلا من مين بدلا من x هذه كل المعلومات النظرية اللى عندنا في هذا ال section طيب انا يمكن اتلخبط بتاعة ال sec احط لها تبعة ال sign ولا تبعة التان احط لها الsec", "tokens": [2655, 17082, 13546, 28242, 11331, 26108, 3660, 24525, 2304, 11296, 2031, 46811, 10943, 995, 4032, 7251, 17082, 13546, 11296, 4724, 2304, 9957, 20666, 2304, 2655, 17082, 13546, 12622, 47525, 15040, 9154, 3714, 9957, 47525, 15040, 9154, 2031, 29538, 28242, 9673, 30241, 20498, 9307, 28239, 19913, 2288, 10632, 13672, 7578, 43242, 8315, 8978, 23758, 2423, 3541, 23032, 1829, 3555, 1975, 8315, 7251, 43020, 1975, 2655, 1211, 9778, 3555, 9566, 39894, 995, 27884, 2423, 907, 1975, 5016, 9566, 5296, 11296, 6055, 3555, 3615, 3660, 2423, 1465, 49429, 6055, 3555, 3615, 3660, 16712, 7649, 1975, 5016, 9566, 5296, 11296, 2423, 8159], "avg_logprob": -0.3560606132854115, "compression_ratio": 1.8121827411167513, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2488.67, "end": 2489.59, "word": "تغير", "probability": 0.43017578125}, {"start": 2489.59, "end": 2489.97, "word": " كل", "probability": 0.666015625}, {"start": 2489.97, "end": 2490.51, "word": " حاجة", "probability": 0.7798665364583334}, {"start": 2490.51, "end": 2491.19, "word": " اسمها", "probability": 0.7952473958333334}, {"start": 2491.19, "end": 2491.57, "word": " x", "probability": 0.37255859375}, {"start": 2491.57, "end": 2492.57, "word": " تماما", "probability": 0.890625}, {"start": 2492.57, "end": 2492.99, "word": " و", "probability": 0.46484375}, {"start": 2492.99, "end": 2493.85, "word": " يغيرها", "probability": 0.73052978515625}, {"start": 2493.85, "end": 2494.33, "word": " بمين", "probability": 0.5682779947916666}, {"start": 2494.33, "end": 2495.61, "word": " بالمتغير", "probability": 0.86162109375}, {"start": 2495.61, "end": 2495.77, "word": " θ", "probability": 0.646484375}, {"start": 2495.77, "end": 2496.51, "word": " بدلا", "probability": 0.6533203125}, {"start": 2496.51, "end": 2496.75, "word": " من", "probability": 0.96630859375}, {"start": 2496.75, "end": 2497.13, "word": " مين", "probability": 0.7261962890625}, {"start": 2497.13, "end": 2498.11, "word": " بدلا", "probability": 0.843994140625}, {"start": 2498.11, "end": 2498.69, "word": " من", "probability": 0.9892578125}, {"start": 2498.69, "end": 2499.61, "word": " x", "probability": 0.76708984375}, {"start": 2499.61, "end": 2500.75, "word": " هذه", "probability": 0.62451171875}, {"start": 2500.75, "end": 2501.13, "word": " كل", "probability": 0.89599609375}, {"start": 2501.13, "end": 2502.05, "word": " المعلومات", "probability": 0.9853515625}, {"start": 2502.05, "end": 2502.65, "word": " النظرية", "probability": 0.942138671875}, {"start": 2502.65, "end": 2502.83, "word": " اللى", "probability": 0.582763671875}, {"start": 2502.83, "end": 2503.19, "word": " عندنا", "probability": 0.91162109375}, {"start": 2503.19, "end": 2503.37, "word": " في", "probability": 0.73828125}, {"start": 2503.37, "end": 2503.75, "word": " هذا", "probability": 0.80859375}, {"start": 2503.75, "end": 2503.89, "word": " ال", "probability": 0.73876953125}, {"start": 2503.89, "end": 2504.27, "word": " section", "probability": 0.5390625}, {"start": 2504.27, "end": 2505.75, "word": " طيب", "probability": 0.900390625}, {"start": 2505.75, "end": 2506.45, "word": " انا", "probability": 0.820068359375}, {"start": 2506.45, "end": 2506.75, "word": " يمكن", "probability": 0.96875}, {"start": 2506.75, "end": 2507.69, "word": " اتلخبط", "probability": 0.822998046875}, {"start": 2507.69, "end": 2509.19, "word": " بتاعة", "probability": 0.80712890625}, {"start": 2509.19, "end": 2509.39, "word": " ال", "probability": 0.63134765625}, {"start": 2509.39, "end": 2509.61, "word": " sec", "probability": 0.1024169921875}, {"start": 2509.61, "end": 2510.01, "word": " احط", "probability": 0.8025716145833334}, {"start": 2510.01, "end": 2510.57, "word": " لها", "probability": 0.7401123046875}, {"start": 2510.57, "end": 2512.01, "word": " تبعة", "probability": 0.5625}, {"start": 2512.01, "end": 2512.17, "word": " ال", "probability": 0.83935546875}, {"start": 2512.17, "end": 2512.53, "word": " sign", "probability": 0.42333984375}, {"start": 2512.53, "end": 2512.79, "word": " ولا", "probability": 0.295166015625}, {"start": 2512.79, "end": 2513.25, "word": " تبعة", "probability": 0.78692626953125}, {"start": 2513.25, "end": 2513.77, "word": " التان", "probability": 0.65625}, {"start": 2513.77, "end": 2514.21, "word": " احط", "probability": 0.9676106770833334}, {"start": 2514.21, "end": 2514.53, "word": " لها", "probability": 0.938720703125}, {"start": 2514.53, "end": 2515.05, "word": " الsec", "probability": 0.6578369140625}], "temperature": 1.0}, {"id": 111, "seek": 253512, "start": 2515.28, "end": 2535.12, "text": "بقولك البسيطة القضية بسيطة جدا، بس دقيقة النظر هيكون هناك خطأ على الإطلاق، كيف؟ إطلاق يعني أن أنت عندك جذور تلاتة، في واحد بإشارة موجب و اتنين بإشارة ثالث، تبع الإشارة الموجب بنحط ماهياش؟ التاء", "tokens": [3555, 39648, 4117, 29739, 3794, 1829, 9566, 3660, 25062, 11242, 10632, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 12399, 4724, 3794, 11778, 38436, 28671, 28239, 19913, 2288, 39896, 30544, 34105, 4117, 16490, 9566, 10721, 15844, 33688, 9566, 15040, 4587, 12399, 9122, 33911, 22807, 11933, 9566, 15040, 4587, 37495, 22653, 14739, 14739, 2655, 43242, 4117, 10874, 8848, 13063, 6055, 1211, 9307, 3660, 12399, 8978, 36764, 24401, 4724, 28814, 8592, 9640, 3660, 3714, 29245, 3555, 4032, 1975, 2655, 1863, 9957, 4724, 28814, 8592, 9640, 3660, 38637, 6027, 12984, 12399, 6055, 3555, 3615, 33688, 8592, 9640, 3660, 9673, 29245, 3555, 44945, 5016, 9566, 19446, 3224, 1829, 33599, 22807, 16712, 16606], "avg_logprob": -0.19936342716768937, "compression_ratio": 1.8051282051282052, "no_speech_prob": 0.0, "words": [{"start": 2515.28, "end": 2515.72, "word": "بقولك", "probability": 0.4545084635416667}, {"start": 2515.72, "end": 2516.28, "word": " البسيطة", "probability": 0.846826171875}, {"start": 2516.28, "end": 2516.88, "word": " القضية", "probability": 0.8107096354166666}, {"start": 2516.88, "end": 2517.36, "word": " بسيطة", "probability": 0.9708984375}, {"start": 2517.36, "end": 2518.12, "word": " جدا،", "probability": 0.8430989583333334}, {"start": 2518.12, "end": 2518.52, "word": " بس", "probability": 0.927734375}, {"start": 2518.52, "end": 2518.94, "word": " دقيقة", "probability": 0.7486979166666666}, {"start": 2518.94, "end": 2519.32, "word": " النظر", "probability": 0.9519856770833334}, {"start": 2519.32, "end": 2520.18, "word": " هيكون", "probability": 0.8984375}, {"start": 2520.18, "end": 2521.5, "word": " هناك", "probability": 0.787109375}, {"start": 2521.5, "end": 2521.88, "word": " خطأ", "probability": 0.9698893229166666}, {"start": 2521.88, "end": 2522.04, "word": " على", "probability": 0.853515625}, {"start": 2522.04, "end": 2522.5, "word": " الإطلاق،", "probability": 0.85068359375}, {"start": 2522.5, "end": 2523.92, "word": " كيف؟", "probability": 0.94775390625}, {"start": 2523.92, "end": 2524.36, "word": " إطلاق", "probability": 0.68194580078125}, {"start": 2524.36, "end": 2524.64, "word": " يعني", "probability": 0.961669921875}, {"start": 2524.64, "end": 2524.8, "word": " أن", "probability": 0.66259765625}, {"start": 2524.8, "end": 2524.92, "word": " أنت", "probability": 0.6312255859375}, {"start": 2524.92, "end": 2525.3, "word": " عندك", "probability": 0.989501953125}, {"start": 2525.3, "end": 2525.76, "word": " جذور", "probability": 0.9944661458333334}, {"start": 2525.76, "end": 2527.4, "word": " تلاتة،", "probability": 0.885546875}, {"start": 2527.4, "end": 2527.58, "word": " في", "probability": 0.8076171875}, {"start": 2527.58, "end": 2527.96, "word": " واحد", "probability": 0.99609375}, {"start": 2527.96, "end": 2528.5, "word": " بإشارة", "probability": 0.976953125}, {"start": 2528.5, "end": 2528.88, "word": " موجب", "probability": 0.990234375}, {"start": 2528.88, "end": 2529.02, "word": " و", "probability": 0.71484375}, {"start": 2529.02, "end": 2529.34, "word": " اتنين", "probability": 0.84271240234375}, {"start": 2529.34, "end": 2529.92, "word": " بإشارة", "probability": 0.99453125}, {"start": 2529.92, "end": 2531.14, "word": " ثالث،", "probability": 0.7855224609375}, {"start": 2531.14, "end": 2531.5, "word": " تبع", "probability": 0.8416341145833334}, {"start": 2531.5, "end": 2532.0, "word": " الإشارة", "probability": 0.9793701171875}, {"start": 2532.0, "end": 2532.5, "word": " الموجب", "probability": 0.9850260416666666}, {"start": 2532.5, "end": 2533.02, "word": " بنحط", "probability": 0.912109375}, {"start": 2533.02, "end": 2534.3, "word": " ماهياش؟", "probability": 0.64755859375}, {"start": 2534.3, "end": 2535.12, "word": " التاء", "probability": 0.469970703125}], "temperature": 1.0}, {"id": 112, "seek": 255241, "start": 2543.23, "end": 2552.41, "text": "بنجي هنا الإشارة السالبة للمتغير ولا للمقدار الثابت إذا الإشارة السالبة للمتغير التعودة بدلالة ال sign", "tokens": [3555, 1863, 7435, 1829, 34105, 33688, 8592, 9640, 3660, 21136, 6027, 49401, 5296, 19528, 2655, 17082, 13546, 49429, 5296, 19528, 28543, 9640, 6024, 104, 16758, 2655, 11933, 15730, 33688, 8592, 9640, 3660, 21136, 6027, 49401, 5296, 19528, 2655, 17082, 13546, 16712, 3615, 23328, 3660, 47525, 1211, 6027, 3660, 2423, 1465], "avg_logprob": -0.27006738910488054, "compression_ratio": 1.7452830188679245, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2543.23, "end": 2544.33, "word": "بنجي", "probability": 0.45343017578125}, {"start": 2544.33, "end": 2544.49, "word": " هنا", "probability": 0.78515625}, {"start": 2544.49, "end": 2545.13, "word": " الإشارة", "probability": 0.87060546875}, {"start": 2545.13, "end": 2545.63, "word": " السالبة", "probability": 0.8046875}, {"start": 2545.63, "end": 2546.75, "word": " للمتغير", "probability": 0.97841796875}, {"start": 2546.75, "end": 2547.03, "word": " ولا", "probability": 0.38232421875}, {"start": 2547.03, "end": 2547.77, "word": " للمقدار", "probability": 0.8792724609375}, {"start": 2547.77, "end": 2549.01, "word": " الثابت", "probability": 0.955078125}, {"start": 2549.01, "end": 2549.33, "word": " إذا", "probability": 0.6346435546875}, {"start": 2549.33, "end": 2549.89, "word": " الإشارة", "probability": 0.9874267578125}, {"start": 2549.89, "end": 2550.29, "word": " السالبة", "probability": 0.9690755208333334}, {"start": 2550.29, "end": 2550.87, "word": " للمتغير", "probability": 0.876513671875}, {"start": 2550.87, "end": 2551.41, "word": " التعودة", "probability": 0.746734619140625}, {"start": 2551.41, "end": 2551.99, "word": " بدلالة", "probability": 0.9462890625}, {"start": 2551.99, "end": 2552.15, "word": " ال", "probability": 0.57373046875}, {"start": 2552.15, "end": 2552.41, "word": " sign", "probability": 0.322265625}], "temperature": 1.0}, {"id": 113, "seek": 256627, "start": 2553.25, "end": 2566.27, "text": "وإذا الإشارة السالبة نت ثابت، يبقى التعويض بالسكو خلاص ما من هالشغلة، يبقى الجدر تميز دون أن يحدث معاك أي خطأ، إذا الإشارة زائد تحت الجدر", "tokens": [2407, 28814, 15730, 33688, 8592, 9640, 3660, 21136, 6027, 49401, 8717, 2655, 38637, 16758, 2655, 12399, 7251, 3555, 4587, 7578, 16712, 3615, 45865, 11242, 20666, 3794, 4117, 2407, 16490, 1211, 33546, 19446, 9154, 8032, 6027, 8592, 17082, 37977, 12399, 7251, 3555, 4587, 7578, 25724, 3215, 2288, 46811, 1829, 11622, 11778, 11536, 14739, 7251, 24401, 12984, 20449, 995, 4117, 36632, 16490, 9566, 10721, 12399, 11933, 15730, 33688, 8592, 9640, 3660, 30767, 16373, 3215, 6055, 33753, 25724, 3215, 2288], "avg_logprob": -0.23036859490168402, "compression_ratio": 1.717241379310345, "no_speech_prob": 0.0, "words": [{"start": 2553.25, "end": 2553.83, "word": "وإذا", "probability": 0.84912109375}, {"start": 2553.83, "end": 2554.45, "word": " الإشارة", "probability": 0.98388671875}, {"start": 2554.45, "end": 2555.05, "word": " السالبة", "probability": 0.6578776041666666}, {"start": 2555.05, "end": 2555.65, "word": " نت", "probability": 0.484130859375}, {"start": 2555.65, "end": 2556.53, "word": " ثابت،", "probability": 0.8345947265625}, {"start": 2556.53, "end": 2556.95, "word": " يبقى", "probability": 0.91357421875}, {"start": 2556.95, "end": 2557.45, "word": " التعويض", "probability": 0.882080078125}, {"start": 2557.45, "end": 2558.07, "word": " بالسكو", "probability": 0.4808349609375}, {"start": 2558.07, "end": 2558.49, "word": " خلاص", "probability": 0.82470703125}, {"start": 2558.49, "end": 2558.59, "word": " ما", "probability": 0.407470703125}, {"start": 2558.59, "end": 2558.75, "word": " من", "probability": 0.9404296875}, {"start": 2558.75, "end": 2559.67, "word": " هالشغلة،", "probability": 0.6915690104166666}, {"start": 2559.67, "end": 2560.09, "word": " يبقى", "probability": 0.9776611328125}, {"start": 2560.09, "end": 2560.39, "word": " الجدر", "probability": 0.7724609375}, {"start": 2560.39, "end": 2561.03, "word": " تميز", "probability": 0.9680989583333334}, {"start": 2561.03, "end": 2561.47, "word": " دون", "probability": 0.976318359375}, {"start": 2561.47, "end": 2561.69, "word": " أن", "probability": 0.87451171875}, {"start": 2561.69, "end": 2562.23, "word": " يحدث", "probability": 0.9290364583333334}, {"start": 2562.23, "end": 2562.51, "word": " معاك", "probability": 0.7652994791666666}, {"start": 2562.51, "end": 2562.75, "word": " أي", "probability": 0.76611328125}, {"start": 2562.75, "end": 2563.61, "word": " خطأ،", "probability": 0.88037109375}, {"start": 2563.61, "end": 2563.85, "word": " إذا", "probability": 0.98583984375}, {"start": 2563.85, "end": 2564.57, "word": " الإشارة", "probability": 0.993896484375}, {"start": 2564.57, "end": 2564.97, "word": " زائد", "probability": 0.7129720052083334}, {"start": 2564.97, "end": 2565.41, "word": " تحت", "probability": 0.9921875}, {"start": 2565.41, "end": 2566.27, "word": " الجدر", "probability": 0.9837239583333334}], "temperature": 1.0}, {"id": 114, "seek": 259236, "start": 2567.12, "end": 2592.36, "text": "يبقى بالدلالة التان إذا الإشارة السالبة تحت الجدرم تطلع الإشارة السالبة لثابت ولا للمتغير إذا الإشارة السالبة للمتغير بتعرض بدلالة الصين إذا الإشارة السالبة لثابت بدلالة السك كفى الله المؤمنين يقدروا حد يلقوا أي تساول هنا قبل أن ندخل عامة الهدف كل الجزء النظري اللي موجود في هذا ال section", "tokens": [1829, 3555, 4587, 7578, 20666, 3215, 1211, 6027, 3660, 16712, 7649, 11933, 15730, 33688, 8592, 9640, 3660, 21136, 6027, 49401, 6055, 33753, 25724, 3215, 2288, 2304, 6055, 9566, 1211, 3615, 33688, 8592, 9640, 3660, 21136, 6027, 49401, 5296, 12984, 16758, 2655, 49429, 5296, 19528, 2655, 17082, 13546, 11933, 15730, 33688, 8592, 9640, 3660, 21136, 6027, 49401, 5296, 19528, 2655, 17082, 13546, 39894, 3615, 43042, 47525, 1211, 6027, 3660, 31767, 9957, 11933, 15730, 33688, 8592, 9640, 3660, 21136, 6027, 49401, 5296, 12984, 16758, 2655, 47525, 1211, 6027, 3660, 21136, 4117, 9122, 5172, 7578, 21984, 9673, 33604, 27842, 9957, 7251, 28543, 2288, 14407, 11331, 3215, 7251, 1211, 4587, 14407, 36632, 6055, 3794, 995, 12610, 34105, 12174, 36150, 14739, 8717, 3215, 9778, 1211, 6225, 10943, 3660, 2423, 3224, 3215, 5172, 28242, 25724, 11622, 38207, 28239, 19913, 16572, 13672, 1829, 3714, 29245, 23328, 8978, 23758, 2423, 3541], "avg_logprob": -0.18424478556132978, "compression_ratio": 2.2212765957446807, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 2567.12, "end": 2567.6, "word": "يبقى", "probability": 0.84033203125}, {"start": 2567.6, "end": 2568.28, "word": " بالدلالة", "probability": 0.88583984375}, {"start": 2568.28, "end": 2568.74, "word": " التان", "probability": 0.6014404296875}, {"start": 2568.74, "end": 2569.42, "word": " إذا", "probability": 0.77294921875}, {"start": 2569.42, "end": 2570.0, "word": " الإشارة", "probability": 0.98388671875}, {"start": 2570.0, "end": 2570.44, "word": " السالبة", "probability": 0.9637044270833334}, {"start": 2570.44, "end": 2570.78, "word": " تحت", "probability": 0.991455078125}, {"start": 2570.78, "end": 2571.14, "word": " الجدرم", "probability": 0.7382354736328125}, {"start": 2571.14, "end": 2571.88, "word": " تطلع", "probability": 0.7529296875}, {"start": 2571.88, "end": 2572.46, "word": " الإشارة", "probability": 0.970947265625}, {"start": 2572.46, "end": 2572.96, "word": " السالبة", "probability": 0.9817708333333334}, {"start": 2572.96, "end": 2573.86, "word": " لثابت", "probability": 0.76904296875}, {"start": 2573.86, "end": 2574.12, "word": " ولا", "probability": 0.75927734375}, {"start": 2574.12, "end": 2575.1, "word": " للمتغير", "probability": 0.97294921875}, {"start": 2575.1, "end": 2575.9, "word": " إذا", "probability": 0.893310546875}, {"start": 2575.9, "end": 2576.46, "word": " الإشارة", "probability": 0.995849609375}, {"start": 2576.46, "end": 2577.0, "word": " السالبة", "probability": 0.9847005208333334}, {"start": 2577.0, "end": 2578.12, "word": " للمتغير", "probability": 0.98583984375}, {"start": 2578.12, "end": 2578.72, "word": " بتعرض", "probability": 0.43994140625}, {"start": 2578.72, "end": 2579.34, "word": " بدلالة", "probability": 0.95068359375}, {"start": 2579.34, "end": 2579.86, "word": " الصين", "probability": 0.5169677734375}, {"start": 2579.86, "end": 2580.38, "word": " إذا", "probability": 0.946533203125}, {"start": 2580.38, "end": 2580.82, "word": " الإشارة", "probability": 0.9959716796875}, {"start": 2580.82, "end": 2581.38, "word": " السالبة", "probability": 0.9881184895833334}, {"start": 2581.38, "end": 2582.14, "word": " لثابت", "probability": 0.981689453125}, {"start": 2582.14, "end": 2583.1, "word": " بدلالة", "probability": 0.9923095703125}, {"start": 2583.1, "end": 2583.62, "word": " السك", "probability": 0.71875}, {"start": 2583.62, "end": 2584.26, "word": " كفى", "probability": 0.7814127604166666}, {"start": 2584.26, "end": 2584.46, "word": " الله", "probability": 0.90771484375}, {"start": 2584.46, "end": 2585.16, "word": " المؤمنين", "probability": 0.87255859375}, {"start": 2585.16, "end": 2585.48, "word": " يقدروا", "probability": 0.67498779296875}, {"start": 2585.48, "end": 2585.74, "word": " حد", "probability": 0.5538330078125}, {"start": 2585.74, "end": 2585.98, "word": " يلقوا", "probability": 0.8648681640625}, {"start": 2585.98, "end": 2586.08, "word": " أي", "probability": 0.45703125}, {"start": 2586.08, "end": 2586.56, "word": " تساول", "probability": 0.8834228515625}, {"start": 2586.56, "end": 2586.9, "word": " هنا", "probability": 0.94091796875}, {"start": 2586.9, "end": 2587.54, "word": " قبل", "probability": 0.985595703125}, {"start": 2587.54, "end": 2587.72, "word": " أن", "probability": 0.853515625}, {"start": 2587.72, "end": 2588.04, "word": " ندخل", "probability": 0.97509765625}, {"start": 2588.04, "end": 2588.32, "word": " عامة", "probability": 0.9348958333333334}, {"start": 2588.32, "end": 2588.62, "word": " الهدف", "probability": 0.904541015625}, {"start": 2588.62, "end": 2589.06, "word": " كل", "probability": 0.87158203125}, {"start": 2589.06, "end": 2589.56, "word": " الجزء", "probability": 0.8766276041666666}, {"start": 2589.56, "end": 2590.28, "word": " النظري", "probability": 0.9694010416666666}, {"start": 2590.28, "end": 2590.82, "word": " اللي", "probability": 0.72412109375}, {"start": 2590.82, "end": 2591.24, "word": " موجود", "probability": 0.99169921875}, {"start": 2591.24, "end": 2591.42, "word": " في", "probability": 0.98046875}, {"start": 2591.42, "end": 2591.8, "word": " هذا", "probability": 0.80224609375}, {"start": 2591.8, "end": 2591.98, "word": " ال", "probability": 0.775390625}, {"start": 2591.98, "end": 2592.36, "word": " section", "probability": 0.76220703125}], "temperature": 1.0}, {"id": 115, "seek": 262391, "start": 2595.35, "end": 2623.91, "text": "ما ينطبق على الجدول ينطبق على القوس لإن الجدول عبارة عن قص نص وهنا اما نص تلت ربع خمسة أسداس ثلاثة على اثنين ستة سبعة عاشرة البدكية مافيش عندنا مشكلة خالص حاجة بدي سألاقي سؤال تاني طيب ننتقل لأمثلة يبقى examples evaluate the following", "tokens": [15042, 7251, 1863, 9566, 3555, 4587, 15844, 25724, 3215, 12610, 7251, 1863, 9566, 3555, 4587, 15844, 25062, 41779, 5296, 28814, 1863, 25724, 3215, 12610, 6225, 3555, 9640, 3660, 18871, 12174, 9381, 8717, 9381, 4032, 3224, 8315, 1975, 15042, 8717, 9381, 6055, 1211, 2655, 12602, 3555, 3615, 16490, 2304, 3794, 3660, 5551, 3794, 28259, 3794, 38637, 1211, 5718, 104, 3660, 15844, 1975, 12984, 1863, 9957, 8608, 2655, 3660, 8608, 3555, 27884, 6225, 33599, 25720, 29739, 3215, 4117, 10632, 19446, 41185, 8592, 43242, 8315, 37893, 28820, 3660, 16490, 6027, 9381, 11331, 26108, 3660, 4724, 16254, 8608, 10721, 15040, 38436, 8608, 33604, 6027, 6055, 7649, 1829, 23032, 1829, 3555, 8717, 29399, 4587, 1211, 5296, 10721, 2304, 12984, 37977, 7251, 3555, 4587, 7578, 5110, 13059, 264, 3480], "avg_logprob": -0.2883064427202748, "compression_ratio": 1.6822033898305084, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2595.35, "end": 2596.25, "word": "ما", "probability": 0.135009765625}, {"start": 2596.25, "end": 2596.97, "word": " ينطبق", "probability": 0.91640625}, {"start": 2596.97, "end": 2597.15, "word": " على", "probability": 0.837890625}, {"start": 2597.15, "end": 2597.55, "word": " الجدول", "probability": 0.7566731770833334}, {"start": 2597.55, "end": 2598.23, "word": " ينطبق", "probability": 0.9486328125}, {"start": 2598.23, "end": 2598.43, "word": " على", "probability": 0.93212890625}, {"start": 2598.43, "end": 2598.89, "word": " القوس", "probability": 0.76123046875}, {"start": 2598.89, "end": 2599.15, "word": " لإن", "probability": 0.58544921875}, {"start": 2599.15, "end": 2599.57, "word": " الجدول", "probability": 0.98388671875}, {"start": 2599.57, "end": 2599.93, "word": " عبارة", "probability": 0.8790283203125}, {"start": 2599.93, "end": 2600.11, "word": " عن", "probability": 0.99267578125}, {"start": 2600.11, "end": 2600.47, "word": " قص", "probability": 0.70849609375}, {"start": 2600.47, "end": 2601.05, "word": " نص", "probability": 0.61376953125}, {"start": 2601.05, "end": 2602.21, "word": " وهنا", "probability": 0.6234537760416666}, {"start": 2602.21, "end": 2602.95, "word": " اما", "probability": 0.395751953125}, {"start": 2602.95, "end": 2603.59, "word": " نص", "probability": 0.896484375}, {"start": 2603.59, "end": 2604.15, "word": " تلت", "probability": 0.819580078125}, {"start": 2604.15, "end": 2604.53, "word": " ربع", "probability": 0.919921875}, {"start": 2604.53, "end": 2605.07, "word": " خمسة", "probability": 0.8707275390625}, {"start": 2605.07, "end": 2605.39, "word": " أسداس", "probability": 0.615478515625}, {"start": 2605.39, "end": 2605.83, "word": " ثلاثة", "probability": 0.92421875}, {"start": 2605.83, "end": 2605.99, "word": " على", "probability": 0.76953125}, {"start": 2605.99, "end": 2606.41, "word": " اثنين", "probability": 0.84521484375}, {"start": 2606.41, "end": 2606.93, "word": " ستة", "probability": 0.9251302083333334}, {"start": 2606.93, "end": 2607.27, "word": " سبعة", "probability": 0.7462565104166666}, {"start": 2607.27, "end": 2607.57, "word": " عاشرة", "probability": 0.66015625}, {"start": 2607.57, "end": 2608.21, "word": " البدكية", "probability": 0.6666259765625}, {"start": 2608.21, "end": 2608.79, "word": " مافيش", "probability": 0.896484375}, {"start": 2608.79, "end": 2608.99, "word": " عندنا", "probability": 0.6646728515625}, {"start": 2608.99, "end": 2609.35, "word": " مشكلة", "probability": 0.9716796875}, {"start": 2609.35, "end": 2609.71, "word": " خالص", "probability": 0.9920247395833334}, {"start": 2609.71, "end": 2610.27, "word": " حاجة", "probability": 0.6944986979166666}, {"start": 2610.27, "end": 2610.45, "word": " بدي", "probability": 0.5753173828125}, {"start": 2610.45, "end": 2610.75, "word": " سألاقي", "probability": 0.478759765625}, {"start": 2610.75, "end": 2611.01, "word": " سؤال", "probability": 0.9874674479166666}, {"start": 2611.01, "end": 2612.03, "word": " تاني", "probability": 0.9807942708333334}, {"start": 2612.03, "end": 2612.75, "word": " طيب", "probability": 0.86572265625}, {"start": 2612.75, "end": 2613.43, "word": " ننتقل", "probability": 0.9183349609375}, {"start": 2613.43, "end": 2614.19, "word": " لأمثلة", "probability": 0.8095703125}, {"start": 2614.19, "end": 2614.61, "word": " يبقى", "probability": 0.67645263671875}, {"start": 2614.61, "end": 2615.79, "word": " examples", "probability": 0.6748046875}, {"start": 2615.79, "end": 2620.59, "word": " evaluate", "probability": 0.86962890625}, {"start": 2620.59, "end": 2623.35, "word": " the", "probability": 0.91357421875}, {"start": 2623.35, "end": 2623.91, "word": " following", "probability": 0.91015625}], "temperature": 1.0}, {"id": 116, "seek": 265535, "start": 2630.91, "end": 2655.35, "text": "Integrals عسمون التكاملات التالية اول تكامل من هذه التكاملات بيقول للمرة واحد بدنا تكامل الجدرى التربية الى تسعة ناقص X تربية على مين على X تربية كله في DX", "tokens": [40, 9358, 861, 1124, 6225, 38251, 11536, 16712, 4117, 10943, 1211, 9307, 16712, 6027, 10632, 1975, 12610, 6055, 4117, 10943, 1211, 9154, 29538, 16712, 4117, 10943, 1211, 9307, 4724, 1829, 39648, 5296, 19528, 25720, 36764, 24401, 47525, 8315, 6055, 4117, 10943, 1211, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 2423, 7578, 6055, 3794, 27884, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 15844, 3714, 9957, 15844, 1783, 6055, 25513, 10632, 28242, 3224, 8978, 48817], "avg_logprob": -0.2387499992052714, "compression_ratio": 1.68125, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2630.91, "end": 2632.31, "word": "Integrals", "probability": 0.7290115356445312}, {"start": 2632.31, "end": 2633.71, "word": " عسمون", "probability": 0.5155436197916666}, {"start": 2633.71, "end": 2635.11, "word": " التكاملات", "probability": 0.95537109375}, {"start": 2635.11, "end": 2636.05, "word": " التالية", "probability": 0.8837890625}, {"start": 2636.05, "end": 2637.59, "word": " اول", "probability": 0.6895751953125}, {"start": 2637.59, "end": 2638.27, "word": " تكامل", "probability": 0.97900390625}, {"start": 2638.27, "end": 2638.47, "word": " من", "probability": 0.9658203125}, {"start": 2638.47, "end": 2638.93, "word": " هذه", "probability": 0.95166015625}, {"start": 2638.93, "end": 2640.49, "word": " التكاملات", "probability": 0.99423828125}, {"start": 2640.49, "end": 2642.37, "word": " بيقول", "probability": 0.8756510416666666}, {"start": 2642.37, "end": 2643.47, "word": " للمرة", "probability": 0.4667561848958333}, {"start": 2643.47, "end": 2644.17, "word": " واحد", "probability": 0.97509765625}, {"start": 2644.17, "end": 2644.97, "word": " بدنا", "probability": 0.6695556640625}, {"start": 2644.97, "end": 2645.93, "word": " تكامل", "probability": 0.9832763671875}, {"start": 2645.93, "end": 2647.05, "word": " الجدرى", "probability": 0.7559814453125}, {"start": 2647.05, "end": 2647.75, "word": " التربية", "probability": 0.890625}, {"start": 2647.75, "end": 2648.11, "word": " الى", "probability": 0.7958984375}, {"start": 2648.11, "end": 2648.63, "word": " تسعة", "probability": 0.9503580729166666}, {"start": 2648.63, "end": 2649.67, "word": " ناقص", "probability": 0.95458984375}, {"start": 2649.67, "end": 2650.11, "word": " X", "probability": 0.58203125}, {"start": 2650.11, "end": 2650.99, "word": " تربية", "probability": 0.8006184895833334}, {"start": 2650.99, "end": 2651.85, "word": " على", "probability": 0.78515625}, {"start": 2651.85, "end": 2652.41, "word": " مين", "probability": 0.78857421875}, {"start": 2652.41, "end": 2653.11, "word": " على", "probability": 0.779296875}, {"start": 2653.11, "end": 2653.61, "word": " X", "probability": 0.93896484375}, {"start": 2653.61, "end": 2654.35, "word": " تربية", "probability": 0.96142578125}, {"start": 2654.35, "end": 2654.89, "word": " كله", "probability": 0.867431640625}, {"start": 2654.89, "end": 2655.03, "word": " في", "probability": 0.92626953125}, {"start": 2655.03, "end": 2655.35, "word": " DX", "probability": 0.42431640625}], "temperature": 1.0}, {"id": 117, "seek": 267927, "start": 2659.11, "end": 2679.27, "text": "الان انا مشان اتخلص من الجدر بدي اعوض بدالة مثلثية بعدين بطلع الإشارة تحت الجدر سالبة تمام؟ مادام سالبة كويس يبقى بطل الإشارة السالبة لثابت ولا للمتغير بلاقى الإشارة السالبة المتغيرة يبقى تعوضة بدلالة", "tokens": [6027, 7649, 1975, 8315, 37893, 7649, 1975, 2655, 9778, 1211, 9381, 9154, 25724, 3215, 2288, 4724, 16254, 1975, 3615, 2407, 11242, 47525, 6027, 3660, 50113, 1211, 12984, 10632, 39182, 9957, 4724, 9566, 1211, 3615, 33688, 8592, 9640, 3660, 6055, 33753, 25724, 3215, 2288, 8608, 6027, 49401, 46811, 10943, 22807, 3714, 18513, 10943, 8608, 6027, 49401, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 4724, 9566, 1211, 33688, 8592, 9640, 3660, 21136, 6027, 49401, 5296, 12984, 16758, 2655, 49429, 5296, 19528, 2655, 17082, 13546, 4724, 15040, 4587, 7578, 33688, 8592, 9640, 3660, 21136, 6027, 49401, 9673, 2655, 17082, 48923, 7251, 3555, 4587, 7578, 37279, 2407, 11242, 3660, 47525, 1211, 6027, 3660], "avg_logprob": -0.2221590967340903, "compression_ratio": 2.1091954022988504, "no_speech_prob": 0.0, "words": [{"start": 2659.11, "end": 2659.61, "word": "الان", "probability": 0.637451171875}, {"start": 2659.61, "end": 2659.89, "word": " انا", "probability": 0.6221923828125}, {"start": 2659.89, "end": 2660.19, "word": " مشان", "probability": 0.522308349609375}, {"start": 2660.19, "end": 2660.79, "word": " اتخلص", "probability": 0.9357421875}, {"start": 2660.79, "end": 2661.03, "word": " من", "probability": 0.98681640625}, {"start": 2661.03, "end": 2661.45, "word": " الجدر", "probability": 0.8662109375}, {"start": 2661.45, "end": 2661.77, "word": " بدي", "probability": 0.50384521484375}, {"start": 2661.77, "end": 2662.19, "word": " اعوض", "probability": 0.936279296875}, {"start": 2662.19, "end": 2662.87, "word": " بدالة", "probability": 0.73681640625}, {"start": 2662.87, "end": 2664.09, "word": " مثلثية", "probability": 0.8590087890625}, {"start": 2664.09, "end": 2664.71, "word": " بعدين", "probability": 0.56689453125}, {"start": 2664.71, "end": 2665.43, "word": " بطلع", "probability": 0.779541015625}, {"start": 2665.43, "end": 2666.73, "word": " الإشارة", "probability": 0.84271240234375}, {"start": 2666.73, "end": 2667.21, "word": " تحت", "probability": 0.968017578125}, {"start": 2667.21, "end": 2667.71, "word": " الجدر", "probability": 0.9856770833333334}, {"start": 2667.71, "end": 2668.37, "word": " سالبة", "probability": 0.7999674479166666}, {"start": 2668.37, "end": 2669.69, "word": " تمام؟", "probability": 0.641357421875}, {"start": 2669.69, "end": 2670.15, "word": " مادام", "probability": 0.6647135416666666}, {"start": 2670.15, "end": 2670.63, "word": " سالبة", "probability": 0.9817708333333334}, {"start": 2670.63, "end": 2671.21, "word": " كويس", "probability": 0.9890950520833334}, {"start": 2671.21, "end": 2672.17, "word": " يبقى", "probability": 0.8565673828125}, {"start": 2672.17, "end": 2672.67, "word": " بطل", "probability": 0.8098958333333334}, {"start": 2672.67, "end": 2673.23, "word": " الإشارة", "probability": 0.8822021484375}, {"start": 2673.23, "end": 2673.63, "word": " السالبة", "probability": 0.9783528645833334}, {"start": 2673.63, "end": 2674.35, "word": " لثابت", "probability": 0.88330078125}, {"start": 2674.35, "end": 2674.57, "word": " ولا", "probability": 0.93408203125}, {"start": 2674.57, "end": 2675.57, "word": " للمتغير", "probability": 0.90244140625}, {"start": 2675.57, "end": 2676.35, "word": " بلاقى", "probability": 0.64373779296875}, {"start": 2676.35, "end": 2676.87, "word": " الإشارة", "probability": 0.9931640625}, {"start": 2676.87, "end": 2677.27, "word": " السالبة", "probability": 0.974609375}, {"start": 2677.27, "end": 2677.83, "word": " المتغيرة", "probability": 0.865234375}, {"start": 2677.83, "end": 2678.07, "word": " يبقى", "probability": 0.888671875}, {"start": 2678.07, "end": 2678.51, "word": " تعوضة", "probability": 0.7451171875}, {"start": 2678.51, "end": 2679.27, "word": " بدلالة", "probability": 0.9649658203125}], "temperature": 1.0}, {"id": 118, "seek": 270848, "start": 2679.92, "end": 2708.48, "text": "يبقى باجي بقول حطنا ال X تساوي تلاتة لأن هذه ايه تربيعها حطنا ال X يساوي تلاتة ساين ثيتا والثيتا هذه اكبر من او تساوي سالب باي على اتنين اقل من او يساوي باي على اتنين لو بدك تجيبي ال DX يبقى تلاتة كساين ثيتا D ثيتا", "tokens": [1829, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 11331, 9566, 8315, 2423, 1783, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 5296, 33456, 29538, 1975, 1829, 3224, 6055, 2288, 21292, 3615, 11296, 11331, 9566, 8315, 2423, 1783, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 8608, 995, 9957, 38637, 36081, 995, 16070, 12984, 36081, 995, 29538, 1975, 4117, 26890, 9154, 1975, 2407, 6055, 3794, 995, 45865, 8608, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 1975, 4587, 1211, 9154, 1975, 2407, 7251, 3794, 995, 45865, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 45164, 47525, 4117, 6055, 7435, 1829, 21292, 2423, 48817, 7251, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 9122, 3794, 995, 9957, 38637, 36081, 995, 413, 38637, 36081, 995], "avg_logprob": -0.20337906092163024, "compression_ratio": 2.2046783625730995, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2679.92, "end": 2680.5, "word": "يبقى", "probability": 0.83270263671875}, {"start": 2680.5, "end": 2680.96, "word": " باجي", "probability": 0.79443359375}, {"start": 2680.96, "end": 2681.36, "word": " بقول", "probability": 0.91552734375}, {"start": 2681.36, "end": 2682.46, "word": " حطنا", "probability": 0.6990559895833334}, {"start": 2682.46, "end": 2683.48, "word": " ال", "probability": 0.8427734375}, {"start": 2683.48, "end": 2684.02, "word": " X", "probability": 0.5009765625}, {"start": 2684.02, "end": 2685.12, "word": " تساوي", "probability": 0.8765869140625}, {"start": 2685.12, "end": 2686.26, "word": " تلاتة", "probability": 0.9110107421875}, {"start": 2686.26, "end": 2686.58, "word": " لأن", "probability": 0.71875}, {"start": 2686.58, "end": 2686.88, "word": " هذه", "probability": 0.426513671875}, {"start": 2686.88, "end": 2687.2, "word": " ايه", "probability": 0.8025716145833334}, {"start": 2687.2, "end": 2688.0, "word": " تربيعها", "probability": 0.7646484375}, {"start": 2688.0, "end": 2689.06, "word": " حطنا", "probability": 0.8473307291666666}, {"start": 2689.06, "end": 2689.24, "word": " ال", "probability": 0.82177734375}, {"start": 2689.24, "end": 2689.44, "word": " X", "probability": 0.9892578125}, {"start": 2689.44, "end": 2690.04, "word": " يساوي", "probability": 0.9478759765625}, {"start": 2690.04, "end": 2690.92, "word": " تلاتة", "probability": 0.975341796875}, {"start": 2690.92, "end": 2691.46, "word": " ساين", "probability": 0.5284423828125}, {"start": 2691.46, "end": 2692.3, "word": " ثيتا", "probability": 0.7867838541666666}, {"start": 2692.3, "end": 2693.6, "word": " والثيتا", "probability": 0.677764892578125}, {"start": 2693.6, "end": 2694.0, "word": " هذه", "probability": 0.6220703125}, {"start": 2694.0, "end": 2694.62, "word": " اكبر", "probability": 0.8502604166666666}, {"start": 2694.62, "end": 2694.86, "word": " من", "probability": 0.9755859375}, {"start": 2694.86, "end": 2695.18, "word": " او", "probability": 0.864013671875}, {"start": 2695.18, "end": 2695.78, "word": " تساوي", "probability": 0.9775390625}, {"start": 2695.78, "end": 2696.44, "word": " سالب", "probability": 0.7972005208333334}, {"start": 2696.44, "end": 2696.72, "word": " باي", "probability": 0.5037841796875}, {"start": 2696.72, "end": 2697.0, "word": " على", "probability": 0.75537109375}, {"start": 2697.0, "end": 2697.58, "word": " اتنين", "probability": 0.985595703125}, {"start": 2697.58, "end": 2698.7, "word": " اقل", "probability": 0.71875}, {"start": 2698.7, "end": 2698.9, "word": " من", "probability": 0.9892578125}, {"start": 2698.9, "end": 2699.18, "word": " او", "probability": 0.9638671875}, {"start": 2699.18, "end": 2699.72, "word": " يساوي", "probability": 0.9820556640625}, {"start": 2699.72, "end": 2700.02, "word": " باي", "probability": 0.853271484375}, {"start": 2700.02, "end": 2700.28, "word": " على", "probability": 0.91748046875}, {"start": 2700.28, "end": 2701.06, "word": " اتنين", "probability": 0.987548828125}, {"start": 2701.06, "end": 2701.58, "word": " لو", "probability": 0.9033203125}, {"start": 2701.58, "end": 2702.02, "word": " بدك", "probability": 0.989990234375}, {"start": 2702.02, "end": 2702.62, "word": " تجيبي", "probability": 0.8714599609375}, {"start": 2702.62, "end": 2702.82, "word": " ال", "probability": 0.82373046875}, {"start": 2702.82, "end": 2703.56, "word": " DX", "probability": 0.7763671875}, {"start": 2703.56, "end": 2704.28, "word": " يبقى", "probability": 0.9818115234375}, {"start": 2704.28, "end": 2705.2, "word": " تلاتة", "probability": 0.9874267578125}, {"start": 2705.2, "end": 2706.12, "word": " كساين", "probability": 0.7841796875}, {"start": 2706.12, "end": 2707.2, "word": " ثيتا", "probability": 0.9069010416666666}, {"start": 2707.2, "end": 2707.78, "word": " D", "probability": 0.5478515625}, {"start": 2707.78, "end": 2708.48, "word": " ثيتا", "probability": 0.8478190104166666}], "temperature": 1.0}, {"id": 119, "seek": 273221, "start": 2709.41, "end": 2732.21, "text": "بعد هيك بدنا نيجي نقول هذه عبارة عن تكامل هذا الجذر وهي تسعة ناقص X تربية معناته انك اتربيها التعويض اللي حطيتها يبقى بصير تسعة صين تربية ثيتا شكل انها ده على X تربية لتسعة صين تربية ثيتا", "tokens": [3555, 22488, 39896, 4117, 47525, 8315, 8717, 1829, 7435, 1829, 8717, 39648, 29538, 6225, 3555, 9640, 3660, 18871, 6055, 4117, 10943, 1211, 23758, 25724, 8848, 2288, 37037, 1829, 6055, 3794, 27884, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 20449, 8315, 47395, 16472, 4117, 1975, 2655, 2288, 21292, 11296, 16712, 3615, 45865, 11242, 13672, 1829, 11331, 9566, 36081, 11296, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 6055, 3794, 27884, 20328, 9957, 6055, 25513, 10632, 38637, 36081, 995, 13412, 28820, 16472, 11296, 11778, 3224, 15844, 1783, 6055, 25513, 10632, 5296, 2655, 3794, 27884, 20328, 9957, 6055, 25513, 10632, 38637, 36081, 995], "avg_logprob": -0.21271658415841585, "compression_ratio": 1.95906432748538, "no_speech_prob": 0.0, "words": [{"start": 2709.41, "end": 2709.87, "word": "بعد", "probability": 0.823486328125}, {"start": 2709.87, "end": 2710.33, "word": " هيك", "probability": 0.54840087890625}, {"start": 2710.33, "end": 2710.71, "word": " بدنا", "probability": 0.596923828125}, {"start": 2710.71, "end": 2711.03, "word": " نيجي", "probability": 0.80059814453125}, {"start": 2711.03, "end": 2711.37, "word": " نقول", "probability": 0.930419921875}, {"start": 2711.37, "end": 2711.69, "word": " هذه", "probability": 0.2071533203125}, {"start": 2711.69, "end": 2712.15, "word": " عبارة", "probability": 0.9676513671875}, {"start": 2712.15, "end": 2712.37, "word": " عن", "probability": 0.9921875}, {"start": 2712.37, "end": 2713.11, "word": " تكامل", "probability": 0.9803466796875}, {"start": 2713.11, "end": 2713.63, "word": " هذا", "probability": 0.7998046875}, {"start": 2713.63, "end": 2714.19, "word": " الجذر", "probability": 0.8528645833333334}, {"start": 2714.19, "end": 2714.63, "word": " وهي", "probability": 0.94091796875}, {"start": 2714.63, "end": 2715.17, "word": " تسعة", "probability": 0.9298502604166666}, {"start": 2715.17, "end": 2715.93, "word": " ناقص", "probability": 0.9781494140625}, {"start": 2715.93, "end": 2716.79, "word": " X", "probability": 0.509765625}, {"start": 2716.79, "end": 2717.25, "word": " تربية", "probability": 0.7742513020833334}, {"start": 2717.25, "end": 2717.69, "word": " معناته", "probability": 0.8777669270833334}, {"start": 2717.69, "end": 2717.93, "word": " انك", "probability": 0.50018310546875}, {"start": 2717.93, "end": 2718.49, "word": " اتربيها", "probability": 0.72421875}, {"start": 2718.49, "end": 2718.95, "word": " التعويض", "probability": 0.86279296875}, {"start": 2718.95, "end": 2719.13, "word": " اللي", "probability": 0.91796875}, {"start": 2719.13, "end": 2720.07, "word": " حطيتها", "probability": 0.9156494140625}, {"start": 2720.07, "end": 2720.83, "word": " يبقى", "probability": 0.904541015625}, {"start": 2720.83, "end": 2721.45, "word": " بصير", "probability": 0.90673828125}, {"start": 2721.45, "end": 2722.39, "word": " تسعة", "probability": 0.9825846354166666}, {"start": 2722.39, "end": 2723.25, "word": " صين", "probability": 0.894287109375}, {"start": 2723.25, "end": 2724.35, "word": " تربية", "probability": 0.8610026041666666}, {"start": 2724.35, "end": 2725.53, "word": " ثيتا", "probability": 0.8243815104166666}, {"start": 2725.53, "end": 2726.39, "word": " شكل", "probability": 0.851806640625}, {"start": 2726.39, "end": 2726.91, "word": " انها", "probability": 0.5904541015625}, {"start": 2726.91, "end": 2727.13, "word": " ده", "probability": 0.715576171875}, {"start": 2727.13, "end": 2727.47, "word": " على", "probability": 0.72021484375}, {"start": 2727.47, "end": 2728.39, "word": " X", "probability": 0.93359375}, {"start": 2728.39, "end": 2728.93, "word": " تربية", "probability": 0.96240234375}, {"start": 2728.93, "end": 2729.87, "word": " لتسعة", "probability": 0.910400390625}, {"start": 2729.87, "end": 2730.63, "word": " صين", "probability": 0.990478515625}, {"start": 2730.63, "end": 2731.61, "word": " تربية", "probability": 0.9318033854166666}, {"start": 2731.61, "end": 2732.21, "word": " ثيتا", "probability": 0.9537760416666666}], "temperature": 1.0}, {"id": 120, "seek": 275604, "start": 2732.58, "end": 2756.04, "text": "وصلنا ل dx اللي هي بين تلاتة cos θ dθ إذا بطل يصير المتغير عن dx وإنما أصبح المتغير كل θ حولت مسئلتي كليا بدلالة θ نقول بسيطة هذا الكلام بده يساوي 9 مع 9 عامل مشارك تطلع برا", "tokens": [2407, 36520, 8315, 5296, 30017, 13672, 1829, 39896, 49374, 6055, 1211, 9307, 3660, 3792, 12622, 274, 9440, 11933, 15730, 4724, 9566, 1211, 7251, 9381, 13546, 9673, 2655, 17082, 13546, 18871, 30017, 4032, 28814, 1863, 15042, 5551, 9381, 49628, 9673, 2655, 17082, 13546, 28242, 12622, 11331, 12610, 2655, 47524, 19986, 1211, 31371, 28242, 25528, 47525, 1211, 6027, 3660, 12622, 8717, 39648, 4724, 3794, 1829, 9566, 3660, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 1722, 20449, 1722, 6225, 10943, 1211, 37893, 9640, 4117, 6055, 9566, 1211, 3615, 4724, 23557], "avg_logprob": -0.21995192700689967, "compression_ratio": 1.6021505376344085, "no_speech_prob": 0.0, "words": [{"start": 2732.58, "end": 2733.4, "word": "وصلنا", "probability": 0.8098958333333334}, {"start": 2733.4, "end": 2733.58, "word": " ل", "probability": 0.662109375}, {"start": 2733.58, "end": 2733.9, "word": " dx", "probability": 0.398681640625}, {"start": 2733.9, "end": 2734.38, "word": " اللي", "probability": 0.462890625}, {"start": 2734.38, "end": 2734.56, "word": " هي", "probability": 0.880859375}, {"start": 2734.56, "end": 2734.98, "word": " بين", "probability": 0.4541015625}, {"start": 2734.98, "end": 2735.94, "word": " تلاتة", "probability": 0.8560791015625}, {"start": 2735.94, "end": 2736.28, "word": " cos", "probability": 0.2119140625}, {"start": 2736.28, "end": 2737.34, "word": " θ", "probability": 0.63671875}, {"start": 2737.34, "end": 2738.24, "word": " dθ", "probability": 0.63330078125}, {"start": 2738.24, "end": 2739.14, "word": " إذا", "probability": 0.7041015625}, {"start": 2739.14, "end": 2739.7, "word": " بطل", "probability": 0.8186848958333334}, {"start": 2739.7, "end": 2740.04, "word": " يصير", "probability": 0.9689127604166666}, {"start": 2740.04, "end": 2740.9, "word": " المتغير", "probability": 0.984375}, {"start": 2740.9, "end": 2741.2, "word": " عن", "probability": 0.81787109375}, {"start": 2741.2, "end": 2741.74, "word": " dx", "probability": 0.87548828125}, {"start": 2741.74, "end": 2742.38, "word": " وإنما", "probability": 0.9100341796875}, {"start": 2742.38, "end": 2742.86, "word": " أصبح", "probability": 0.9557291666666666}, {"start": 2742.86, "end": 2743.6, "word": " المتغير", "probability": 0.992919921875}, {"start": 2743.6, "end": 2743.94, "word": " كل", "probability": 0.88427734375}, {"start": 2743.94, "end": 2745.06, "word": " θ", "probability": 0.3486328125}, {"start": 2745.06, "end": 2745.9, "word": " حولت", "probability": 0.8089192708333334}, {"start": 2745.9, "end": 2746.66, "word": " مسئلتي", "probability": 0.77191162109375}, {"start": 2746.66, "end": 2747.8, "word": " كليا", "probability": 0.718994140625}, {"start": 2747.8, "end": 2748.56, "word": " بدلالة", "probability": 0.96142578125}, {"start": 2748.56, "end": 2748.98, "word": " θ", "probability": 0.61181640625}, {"start": 2748.98, "end": 2750.04, "word": " نقول", "probability": 0.723876953125}, {"start": 2750.04, "end": 2750.74, "word": " بسيطة", "probability": 0.9658203125}, {"start": 2750.74, "end": 2751.04, "word": " هذا", "probability": 0.9033203125}, {"start": 2751.04, "end": 2751.74, "word": " الكلام", "probability": 0.9718424479166666}, {"start": 2751.74, "end": 2752.32, "word": " بده", "probability": 0.844482421875}, {"start": 2752.32, "end": 2752.68, "word": " يساوي", "probability": 0.9302978515625}, {"start": 2752.68, "end": 2753.84, "word": " 9", "probability": 0.485107421875}, {"start": 2753.84, "end": 2754.1, "word": " مع", "probability": 0.943359375}, {"start": 2754.1, "end": 2754.46, "word": " 9", "probability": 0.9755859375}, {"start": 2754.46, "end": 2754.82, "word": " عامل", "probability": 0.95458984375}, {"start": 2754.82, "end": 2755.22, "word": " مشارك", "probability": 0.8935546875}, {"start": 2755.22, "end": 2755.62, "word": " تطلع", "probability": 0.84356689453125}, {"start": 2755.62, "end": 2756.04, "word": " برا", "probability": 0.94873046875}], "temperature": 1.0}, {"id": 121, "seek": 277347, "start": 2756.95, "end": 2773.47, "text": "هي تلاتة و هي التلاتة التانية على التسعة كمان برا هي مع السلامة و هي تكامل بلاي اندي هنا جديش واحد ناقصين تربية تحت الجدر تطلع من؟", "tokens": [3224, 1829, 6055, 1211, 9307, 3660, 4032, 39896, 16712, 1211, 9307, 3660, 16712, 7649, 10632, 15844, 16712, 3794, 27884, 9122, 2304, 7649, 4724, 23557, 39896, 20449, 21136, 37440, 3660, 4032, 39896, 6055, 4117, 10943, 1211, 4724, 15040, 1829, 16472, 16254, 34105, 10874, 16254, 8592, 36764, 24401, 8717, 995, 4587, 9381, 9957, 6055, 25513, 10632, 6055, 33753, 25724, 3215, 2288, 6055, 9566, 1211, 3615, 9154, 22807], "avg_logprob": -0.24088541102228742, "compression_ratio": 1.7333333333333334, "no_speech_prob": 0.0, "words": [{"start": 2756.95, "end": 2757.53, "word": "هي", "probability": 0.3663330078125}, {"start": 2757.53, "end": 2758.45, "word": " تلاتة", "probability": 0.8697509765625}, {"start": 2758.45, "end": 2758.69, "word": " و", "probability": 0.51513671875}, {"start": 2758.69, "end": 2758.97, "word": " هي", "probability": 0.65380859375}, {"start": 2758.97, "end": 2759.93, "word": " التلاتة", "probability": 0.9019775390625}, {"start": 2759.93, "end": 2760.67, "word": " التانية", "probability": 0.9716796875}, {"start": 2760.67, "end": 2761.31, "word": " على", "probability": 0.67724609375}, {"start": 2761.31, "end": 2762.45, "word": " التسعة", "probability": 0.9650065104166666}, {"start": 2762.45, "end": 2762.99, "word": " كمان", "probability": 0.92919921875}, {"start": 2762.99, "end": 2763.43, "word": " برا", "probability": 0.82373046875}, {"start": 2763.43, "end": 2763.67, "word": " هي", "probability": 0.81005859375}, {"start": 2763.67, "end": 2763.93, "word": " مع", "probability": 0.9326171875}, {"start": 2763.93, "end": 2764.81, "word": " السلامة", "probability": 0.9337565104166666}, {"start": 2764.81, "end": 2765.19, "word": " و", "probability": 0.386962890625}, {"start": 2765.19, "end": 2765.43, "word": " هي", "probability": 0.90478515625}, {"start": 2765.43, "end": 2766.09, "word": " تكامل", "probability": 0.932373046875}, {"start": 2766.09, "end": 2766.95, "word": " بلاي", "probability": 0.4195149739583333}, {"start": 2766.95, "end": 2767.09, "word": " اندي", "probability": 0.75830078125}, {"start": 2767.09, "end": 2767.31, "word": " هنا", "probability": 0.91845703125}, {"start": 2767.31, "end": 2768.15, "word": " جديش", "probability": 0.71044921875}, {"start": 2768.15, "end": 2769.29, "word": " واحد", "probability": 0.914794921875}, {"start": 2769.29, "end": 2770.25, "word": " ناقصين", "probability": 0.9427734375}, {"start": 2770.25, "end": 2771.03, "word": " تربية", "probability": 0.7421061197916666}, {"start": 2771.03, "end": 2771.61, "word": " تحت", "probability": 0.996337890625}, {"start": 2771.61, "end": 2772.25, "word": " الجدر", "probability": 0.9796549479166666}, {"start": 2772.25, "end": 2772.91, "word": " تطلع", "probability": 0.920166015625}, {"start": 2772.91, "end": 2773.47, "word": " من؟", "probability": 0.586669921875}], "temperature": 1.0}, {"id": 122, "seek": 280080, "start": 2773.56, "end": 2800.8, "text": "كو ساين تربيع تحت الجدرق يبقى كو ساين تربيع تطلع ب absolute value لا كو ساين لكن كوني حصرت الزاوية في الرابع الرابع والربع الأول يبقى لا داعي لل absolute value يبقى طالعت عندي كو ساين ثيتا وعندي كمان كو ساين ثيتا في الأول وظل عندي ال sign تربية ثيتا وهيئ دي ثيتا", "tokens": [4117, 2407, 8608, 995, 9957, 6055, 2288, 21292, 3615, 6055, 33753, 25724, 3215, 2288, 4587, 7251, 3555, 4587, 7578, 9122, 2407, 8608, 995, 9957, 6055, 2288, 21292, 3615, 6055, 9566, 1211, 3615, 4724, 8236, 2158, 20193, 9122, 2407, 8608, 995, 9957, 44381, 9122, 11536, 1829, 11331, 9381, 43500, 6024, 110, 995, 2407, 10632, 8978, 34892, 16758, 3615, 34892, 16758, 3615, 16070, 25513, 3615, 16247, 12610, 7251, 3555, 4587, 7578, 20193, 11778, 45761, 1829, 24976, 8236, 2158, 7251, 3555, 4587, 7578, 23032, 6027, 3615, 2655, 18871, 16254, 9122, 2407, 8608, 995, 9957, 38637, 36081, 995, 4032, 3615, 1863, 16254, 9122, 2304, 7649, 9122, 2407, 8608, 995, 9957, 38637, 36081, 995, 8978, 16247, 12610, 4032, 19913, 1211, 18871, 16254, 2423, 1465, 6055, 2288, 21292, 3660, 38637, 36081, 995, 37037, 1829, 19986, 11778, 1829, 38637, 36081, 995], "avg_logprob": -0.1930555608537462, "compression_ratio": 2.1773399014778323, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2773.56, "end": 2774.18, "word": "كو", "probability": 0.3859405517578125}, {"start": 2774.18, "end": 2774.48, "word": " ساين", "probability": 0.7525227864583334}, {"start": 2774.48, "end": 2775.28, "word": " تربيع", "probability": 0.803955078125}, {"start": 2775.28, "end": 2775.68, "word": " تحت", "probability": 0.98583984375}, {"start": 2775.68, "end": 2776.42, "word": " الجدرق", "probability": 0.673095703125}, {"start": 2776.42, "end": 2777.36, "word": " يبقى", "probability": 0.8961181640625}, {"start": 2777.36, "end": 2777.76, "word": " كو", "probability": 0.880126953125}, {"start": 2777.76, "end": 2778.0, "word": " ساين", "probability": 0.9759114583333334}, {"start": 2778.0, "end": 2778.52, "word": " تربيع", "probability": 0.939453125}, {"start": 2778.52, "end": 2779.12, "word": " تطلع", "probability": 0.8145751953125}, {"start": 2779.12, "end": 2779.24, "word": " ب", "probability": 0.751953125}, {"start": 2779.24, "end": 2779.74, "word": " absolute", "probability": 0.59228515625}, {"start": 2779.74, "end": 2780.7, "word": " value", "probability": 0.9912109375}, {"start": 2780.7, "end": 2781.6, "word": " لا", "probability": 0.43896484375}, {"start": 2781.6, "end": 2782.14, "word": " كو", "probability": 0.84326171875}, {"start": 2782.14, "end": 2782.46, "word": " ساين", "probability": 0.98095703125}, {"start": 2782.46, "end": 2783.1, "word": " لكن", "probability": 0.76953125}, {"start": 2783.1, "end": 2783.62, "word": " كوني", "probability": 0.9363606770833334}, {"start": 2783.62, "end": 2784.1, "word": " حصرت", "probability": 0.9327799479166666}, {"start": 2784.1, "end": 2784.56, "word": " الزاوية", "probability": 0.9142578125}, {"start": 2784.56, "end": 2784.72, "word": " في", "probability": 0.84619140625}, {"start": 2784.72, "end": 2785.02, "word": " الرابع", "probability": 0.93310546875}, {"start": 2785.02, "end": 2785.42, "word": " الرابع", "probability": 0.97607421875}, {"start": 2785.42, "end": 2785.9, "word": " والربع", "probability": 0.7506510416666666}, {"start": 2785.9, "end": 2786.44, "word": " الأول", "probability": 0.89013671875}, {"start": 2786.44, "end": 2787.18, "word": " يبقى", "probability": 0.9765625}, {"start": 2787.18, "end": 2787.74, "word": " لا", "probability": 0.74462890625}, {"start": 2787.74, "end": 2788.24, "word": " داعي", "probability": 0.9544270833333334}, {"start": 2788.24, "end": 2788.42, "word": " لل", "probability": 0.568359375}, {"start": 2788.42, "end": 2788.98, "word": " absolute", "probability": 0.947265625}, {"start": 2788.98, "end": 2789.9, "word": " value", "probability": 0.986328125}, {"start": 2789.9, "end": 2790.66, "word": " يبقى", "probability": 0.956787109375}, {"start": 2790.66, "end": 2791.1, "word": " طالعت", "probability": 0.6524658203125}, {"start": 2791.1, "end": 2791.44, "word": " عندي", "probability": 0.8583984375}, {"start": 2791.44, "end": 2791.8, "word": " كو", "probability": 0.906005859375}, {"start": 2791.8, "end": 2792.06, "word": " ساين", "probability": 0.98095703125}, {"start": 2792.06, "end": 2792.48, "word": " ثيتا", "probability": 0.7745768229166666}, {"start": 2792.48, "end": 2793.06, "word": " وعندي", "probability": 0.935791015625}, {"start": 2793.06, "end": 2793.68, "word": " كمان", "probability": 0.9939778645833334}, {"start": 2793.68, "end": 2794.1, "word": " كو", "probability": 0.956298828125}, {"start": 2794.1, "end": 2794.52, "word": " ساين", "probability": 0.9873046875}, {"start": 2794.52, "end": 2795.06, "word": " ثيتا", "probability": 0.9392903645833334}, {"start": 2795.06, "end": 2795.22, "word": " في", "probability": 0.87841796875}, {"start": 2795.22, "end": 2795.78, "word": " الأول", "probability": 0.9775390625}, {"start": 2795.78, "end": 2796.82, "word": " وظل", "probability": 0.8116861979166666}, {"start": 2796.82, "end": 2797.36, "word": " عندي", "probability": 0.936767578125}, {"start": 2797.36, "end": 2797.56, "word": " ال", "probability": 0.6220703125}, {"start": 2797.56, "end": 2797.92, "word": " sign", "probability": 0.52197265625}, {"start": 2797.92, "end": 2798.88, "word": " تربية", "probability": 0.8118896484375}, {"start": 2798.88, "end": 2799.38, "word": " ثيتا", "probability": 0.9055989583333334}, {"start": 2799.38, "end": 2800.0, "word": " وهيئ", "probability": 0.679443359375}, {"start": 2800.0, "end": 2800.24, "word": " دي", "probability": 0.734619140625}, {"start": 2800.24, "end": 2800.8, "word": " ثيتا", "probability": 0.89892578125}], "temperature": 1.0}, {"id": 123, "seek": 281692, "start": 2801.72, "end": 2816.92, "text": "تسعة على تسعة مع السلامة يبقى آلة المسألة إلى تكامل cosine تربيع على sin تربيع اللي همين كتان تربيع يبقى هذه كتان تربيع ثيتا في دي ثيتا", "tokens": [2655, 3794, 27884, 15844, 6055, 3794, 27884, 20449, 21136, 37440, 3660, 7251, 3555, 4587, 7578, 19753, 37977, 9673, 3794, 10721, 37977, 30731, 6055, 4117, 10943, 1211, 23565, 6055, 2288, 21292, 3615, 15844, 3343, 6055, 2288, 21292, 3615, 13672, 1829, 8032, 2304, 9957, 9122, 2655, 7649, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 29538, 9122, 2655, 7649, 6055, 2288, 21292, 3615, 38637, 36081, 995, 8978, 11778, 1829, 38637, 36081, 995], "avg_logprob": -0.23723590961644347, "compression_ratio": 1.7279411764705883, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2801.72, "end": 2802.26, "word": "تسعة", "probability": 0.6545003255208334}, {"start": 2802.26, "end": 2802.48, "word": " على", "probability": 0.57177734375}, {"start": 2802.48, "end": 2802.98, "word": " تسعة", "probability": 0.9903971354166666}, {"start": 2802.98, "end": 2803.2, "word": " مع", "probability": 0.90576171875}, {"start": 2803.2, "end": 2803.96, "word": " السلامة", "probability": 0.96044921875}, {"start": 2803.96, "end": 2804.52, "word": " يبقى", "probability": 0.903076171875}, {"start": 2804.52, "end": 2805.04, "word": " آلة", "probability": 0.9287109375}, {"start": 2805.04, "end": 2805.88, "word": " المسألة", "probability": 0.9749755859375}, {"start": 2805.88, "end": 2806.28, "word": " إلى", "probability": 0.453857421875}, {"start": 2806.28, "end": 2807.24, "word": " تكامل", "probability": 0.9879150390625}, {"start": 2807.24, "end": 2808.08, "word": " cosine", "probability": 0.21337890625}, {"start": 2808.08, "end": 2808.9, "word": " تربيع", "probability": 0.74700927734375}, {"start": 2808.9, "end": 2809.1, "word": " على", "probability": 0.5673828125}, {"start": 2809.1, "end": 2809.46, "word": " sin", "probability": 0.46826171875}, {"start": 2809.46, "end": 2809.86, "word": " تربيع", "probability": 0.9627685546875}, {"start": 2809.86, "end": 2810.02, "word": " اللي", "probability": 0.760986328125}, {"start": 2810.02, "end": 2810.68, "word": " همين", "probability": 0.5999348958333334}, {"start": 2810.68, "end": 2811.84, "word": " كتان", "probability": 0.7342122395833334}, {"start": 2811.84, "end": 2812.54, "word": " تربيع", "probability": 0.9385986328125}, {"start": 2812.54, "end": 2813.22, "word": " يبقى", "probability": 0.96240234375}, {"start": 2813.22, "end": 2813.56, "word": " هذه", "probability": 0.513671875}, {"start": 2813.56, "end": 2814.32, "word": " كتان", "probability": 0.9777018229166666}, {"start": 2814.32, "end": 2815.22, "word": " تربيع", "probability": 0.9732666015625}, {"start": 2815.22, "end": 2815.86, "word": " ثيتا", "probability": 0.6858723958333334}, {"start": 2815.86, "end": 2816.02, "word": " في", "probability": 0.8203125}, {"start": 2816.02, "end": 2816.34, "word": " دي", "probability": 0.7451171875}, {"start": 2816.34, "end": 2816.92, "word": " ثيتا", "probability": 0.8404947916666666}], "temperature": 1.0}, {"id": 124, "seek": 284070, "start": 2817.36, "end": 2840.7, "text": "الان بدنا نكمل كتان تربيه هذه كلها نكملها في كلقه صلصة a مش في b يبقى هذه تكملها عبارة عن كسيكا تربيه ثيتا ناقص واحد كله بالنسبة الى 100 الودي ثيتا يبقى هذا الكلام يساوي تكمل كسيكا تربيه مفجدش", "tokens": [6027, 7649, 47525, 8315, 8717, 24793, 1211, 9122, 2655, 7649, 6055, 2288, 21292, 3224, 29538, 28242, 11296, 8717, 24793, 1211, 11296, 8978, 28242, 4587, 3224, 20328, 1211, 9381, 3660, 257, 37893, 8978, 272, 7251, 3555, 4587, 7578, 29538, 6055, 24793, 1211, 11296, 6225, 3555, 9640, 3660, 18871, 9122, 3794, 1829, 4117, 995, 6055, 2288, 21292, 3224, 38637, 36081, 995, 8717, 995, 4587, 9381, 36764, 24401, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 2319, 2423, 2407, 16254, 38637, 36081, 995, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 6055, 24793, 1211, 9122, 3794, 1829, 4117, 995, 6055, 2288, 21292, 3224, 3714, 5172, 7435, 3215, 8592], "avg_logprob": -0.31619317721236834, "compression_ratio": 1.905027932960894, "no_speech_prob": 0.0, "words": [{"start": 2817.36, "end": 2817.92, "word": "الان", "probability": 0.6494140625}, {"start": 2817.92, "end": 2818.3, "word": " بدنا", "probability": 0.68115234375}, {"start": 2818.3, "end": 2818.84, "word": " نكمل", "probability": 0.8621419270833334}, {"start": 2818.84, "end": 2819.36, "word": " كتان", "probability": 0.716064453125}, {"start": 2819.36, "end": 2819.84, "word": " تربيه", "probability": 0.7578125}, {"start": 2819.84, "end": 2820.1, "word": " هذه", "probability": 0.3486328125}, {"start": 2820.1, "end": 2820.52, "word": " كلها", "probability": 0.754150390625}, {"start": 2820.52, "end": 2821.08, "word": " نكملها", "probability": 0.6719970703125}, {"start": 2821.08, "end": 2821.26, "word": " في", "probability": 0.86376953125}, {"start": 2821.26, "end": 2821.72, "word": " كلقه", "probability": 0.453125}, {"start": 2821.72, "end": 2822.28, "word": " صلصة", "probability": 0.6065673828125}, {"start": 2822.28, "end": 2822.52, "word": " a", "probability": 0.5166015625}, {"start": 2822.52, "end": 2822.82, "word": " مش", "probability": 0.845703125}, {"start": 2822.82, "end": 2823.04, "word": " في", "probability": 0.78564453125}, {"start": 2823.04, "end": 2823.36, "word": " b", "probability": 0.69970703125}, {"start": 2823.36, "end": 2824.4, "word": " يبقى", "probability": 0.9049072265625}, {"start": 2824.4, "end": 2824.68, "word": " هذه", "probability": 0.62548828125}, {"start": 2824.68, "end": 2825.48, "word": " تكملها", "probability": 0.67449951171875}, {"start": 2825.48, "end": 2826.4, "word": " عبارة", "probability": 0.8485107421875}, {"start": 2826.4, "end": 2826.76, "word": " عن", "probability": 0.9892578125}, {"start": 2826.76, "end": 2827.8, "word": " كسيكا", "probability": 0.5767578125}, {"start": 2827.8, "end": 2828.86, "word": " تربيه", "probability": 0.88037109375}, {"start": 2828.86, "end": 2829.66, "word": " ثيتا", "probability": 0.6990559895833334}, {"start": 2829.66, "end": 2830.78, "word": " ناقص", "probability": 0.67633056640625}, {"start": 2830.78, "end": 2831.44, "word": " واحد", "probability": 0.983642578125}, {"start": 2831.44, "end": 2831.98, "word": " كله", "probability": 0.97021484375}, {"start": 2831.98, "end": 2832.6, "word": " بالنسبة", "probability": 0.9857177734375}, {"start": 2832.6, "end": 2832.94, "word": " الى", "probability": 0.6807861328125}, {"start": 2832.94, "end": 2833.22, "word": " 100", "probability": 0.309814453125}, {"start": 2833.22, "end": 2834.42, "word": " الودي", "probability": 0.4124348958333333}, {"start": 2834.42, "end": 2835.06, "word": " ثيتا", "probability": 0.92431640625}, {"start": 2835.06, "end": 2835.76, "word": " يبقى", "probability": 0.953125}, {"start": 2835.76, "end": 2836.0, "word": " هذا", "probability": 0.9453125}, {"start": 2836.0, "end": 2836.5, "word": " الكلام", "probability": 0.9677734375}, {"start": 2836.5, "end": 2837.56, "word": " يساوي", "probability": 0.9703369140625}, {"start": 2837.56, "end": 2838.48, "word": " تكمل", "probability": 0.86376953125}, {"start": 2838.48, "end": 2839.0, "word": " كسيكا", "probability": 0.9349609375}, {"start": 2839.0, "end": 2839.56, "word": " تربيه", "probability": 0.966796875}, {"start": 2839.56, "end": 2840.7, "word": " مفجدش", "probability": 0.6259765625}], "temperature": 1.0}, {"id": 125, "seek": 287163, "start": 2841.77, "end": 2871.63, "text": "سالب كتان تمام يبقى سالب كتان ثيتا ناقص ثيتا زائد كونستان سي احنا بدأنا المسألة بدلة ال X ووصلنا لوين لثيتا بنفعش بدك ترجع المسألة كلها بدلالة المتغير الاساسي اللي عندك لو ماعملتش الخطوة اللي ضايلة بنقسم عليك درجة دير بالك ايوة زي ما بدأت بال X بدك تنتهي بال X يبقى ناقص", "tokens": [3794, 6027, 3555, 9122, 2655, 7649, 6055, 15042, 2304, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 9122, 2655, 7649, 38637, 36081, 995, 8717, 995, 4587, 9381, 38637, 36081, 995, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 8608, 1829, 1975, 5016, 8315, 47525, 10721, 8315, 9673, 3794, 10721, 37977, 47525, 1211, 3660, 2423, 1783, 4032, 2407, 36520, 8315, 5296, 2407, 9957, 5296, 12984, 36081, 995, 44945, 5172, 3615, 8592, 47525, 4117, 6055, 47341, 3615, 9673, 3794, 10721, 37977, 28242, 11296, 47525, 1211, 6027, 3660, 9673, 2655, 17082, 13546, 2423, 32277, 32277, 1829, 13672, 1829, 43242, 4117, 45164, 19446, 25957, 1211, 2655, 8592, 33962, 9566, 2407, 3660, 13672, 1829, 48812, 995, 26895, 3660, 44945, 4587, 38251, 25894, 4117, 11778, 47341, 3660, 11778, 13546, 20666, 4117, 1975, 1829, 2407, 3660, 30767, 1829, 19446, 47525, 10721, 2655, 20666, 1783, 47525, 4117, 6055, 29399, 3224, 1829, 20666, 1783, 7251, 3555, 4587, 7578, 8717, 995, 4587, 9381], "avg_logprob": -0.20302221071171134, "compression_ratio": 2.0464135021097047, "no_speech_prob": 0.2384033203125, "words": [{"start": 2841.77, "end": 2842.43, "word": "سالب", "probability": 0.6081949869791666}, {"start": 2842.43, "end": 2843.21, "word": " كتان", "probability": 0.9161783854166666}, {"start": 2843.21, "end": 2843.99, "word": " تمام", "probability": 0.651123046875}, {"start": 2843.99, "end": 2844.85, "word": " يبقى", "probability": 0.9097900390625}, {"start": 2844.85, "end": 2845.53, "word": " سالب", "probability": 0.9293619791666666}, {"start": 2845.53, "end": 2846.29, "word": " كتان", "probability": 0.9817708333333334}, {"start": 2846.29, "end": 2846.93, "word": " ثيتا", "probability": 0.6920572916666666}, {"start": 2846.93, "end": 2847.65, "word": " ناقص", "probability": 0.9140625}, {"start": 2847.65, "end": 2848.27, "word": " ثيتا", "probability": 0.92578125}, {"start": 2848.27, "end": 2849.27, "word": " زائد", "probability": 0.726318359375}, {"start": 2849.27, "end": 2850.03, "word": " كونستان", "probability": 0.68157958984375}, {"start": 2850.03, "end": 2850.41, "word": " سي", "probability": 0.667236328125}, {"start": 2850.41, "end": 2851.17, "word": " احنا", "probability": 0.7911783854166666}, {"start": 2851.17, "end": 2851.65, "word": " بدأنا", "probability": 0.9713541666666666}, {"start": 2851.65, "end": 2852.17, "word": " المسألة", "probability": 0.78515625}, {"start": 2852.17, "end": 2852.73, "word": " بدلة", "probability": 0.5924479166666666}, {"start": 2852.73, "end": 2852.91, "word": " ال", "probability": 0.91162109375}, {"start": 2852.91, "end": 2853.09, "word": " X", "probability": 0.66357421875}, {"start": 2853.09, "end": 2853.75, "word": " ووصلنا", "probability": 0.9281005859375}, {"start": 2853.75, "end": 2854.37, "word": " لوين", "probability": 0.5848388671875}, {"start": 2854.37, "end": 2855.85, "word": " لثيتا", "probability": 0.794677734375}, {"start": 2855.85, "end": 2856.61, "word": " بنفعش", "probability": 0.775848388671875}, {"start": 2856.61, "end": 2856.91, "word": " بدك", "probability": 0.7822265625}, {"start": 2856.91, "end": 2857.51, "word": " ترجع", "probability": 0.8352864583333334}, {"start": 2857.51, "end": 2858.11, "word": " المسألة", "probability": 0.96728515625}, {"start": 2858.11, "end": 2858.47, "word": " كلها", "probability": 0.91259765625}, {"start": 2858.47, "end": 2859.05, "word": " بدلالة", "probability": 0.9473876953125}, {"start": 2859.05, "end": 2860.07, "word": " المتغير", "probability": 0.9874267578125}, {"start": 2860.07, "end": 2861.45, "word": " الاساسي", "probability": 0.816162109375}, {"start": 2861.45, "end": 2861.57, "word": " اللي", "probability": 0.838134765625}, {"start": 2861.57, "end": 2862.07, "word": " عندك", "probability": 0.986083984375}, {"start": 2862.07, "end": 2862.57, "word": " لو", "probability": 0.80224609375}, {"start": 2862.57, "end": 2863.13, "word": " ماعملتش", "probability": 0.89638671875}, {"start": 2863.13, "end": 2863.89, "word": " الخطوة", "probability": 0.9609375}, {"start": 2863.89, "end": 2864.47, "word": " اللي", "probability": 0.95361328125}, {"start": 2864.47, "end": 2864.87, "word": " ضايلة", "probability": 0.7635498046875}, {"start": 2864.87, "end": 2865.25, "word": " بنقسم", "probability": 0.74072265625}, {"start": 2865.25, "end": 2865.61, "word": " عليك", "probability": 0.955322265625}, {"start": 2865.61, "end": 2866.11, "word": " درجة", "probability": 0.9798177083333334}, {"start": 2866.11, "end": 2866.31, "word": " دير", "probability": 0.7005615234375}, {"start": 2866.31, "end": 2867.31, "word": " بالك", "probability": 0.90283203125}, {"start": 2867.31, "end": 2868.13, "word": " ايوة", "probability": 0.8218994140625}, {"start": 2868.13, "end": 2868.49, "word": " زي", "probability": 0.943115234375}, {"start": 2868.49, "end": 2868.65, "word": " ما", "probability": 0.9365234375}, {"start": 2868.65, "end": 2869.03, "word": " بدأت", "probability": 0.8533528645833334}, {"start": 2869.03, "end": 2869.19, "word": " بال", "probability": 0.97705078125}, {"start": 2869.19, "end": 2869.41, "word": " X", "probability": 0.95849609375}, {"start": 2869.41, "end": 2869.77, "word": " بدك", "probability": 0.94482421875}, {"start": 2869.77, "end": 2870.29, "word": " تنتهي", "probability": 0.95751953125}, {"start": 2870.29, "end": 2870.47, "word": " بال", "probability": 0.99365234375}, {"start": 2870.47, "end": 2870.73, "word": " X", "probability": 0.98681640625}, {"start": 2870.73, "end": 2871.11, "word": " يبقى", "probability": 0.9453125}, {"start": 2871.11, "end": 2871.63, "word": " ناقص", "probability": 0.9915771484375}], "temperature": 1.0}, {"id": 126, "seek": 289919, "start": 2871.85, "end": 2899.19, "text": "بدي أدى لكوا تانى الثيتا بدي أجيبها من وين بدي أجيبها من هذه يبقى هذه بقدر أقول ان ال X على تلاتة تساوى من صين الثيتا من التعويض اللى فوق بروح برسمله المثلث بالشكل اللى عندنا هذه هي الزاوية ثيتا وهي الزاوية القائمة ال J يساوى المقابل على ال water يبقى هذا X هذه تلاتة", "tokens": [3555, 16254, 5551, 3215, 7578, 5296, 4117, 14407, 6055, 7649, 7578, 6024, 104, 36081, 995, 4724, 16254, 5551, 7435, 1829, 3555, 11296, 9154, 4032, 9957, 4724, 16254, 5551, 7435, 1829, 3555, 11296, 9154, 29538, 7251, 3555, 4587, 7578, 29538, 4724, 28543, 2288, 5551, 39648, 16472, 2423, 1783, 15844, 6055, 1211, 9307, 3660, 6055, 3794, 995, 2407, 7578, 9154, 20328, 9957, 6024, 104, 36081, 995, 9154, 16712, 3615, 45865, 11242, 13672, 7578, 6156, 30543, 4724, 32887, 5016, 4724, 2288, 38251, 43761, 9673, 12984, 1211, 12984, 20666, 8592, 28820, 13672, 7578, 43242, 8315, 29538, 39896, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 37037, 1829, 6024, 110, 995, 2407, 10632, 25062, 16373, 46007, 2423, 508, 7251, 3794, 995, 2407, 7578, 9673, 4587, 16758, 1211, 15844, 2423, 1281, 7251, 3555, 4587, 7578, 23758, 1783, 29538, 6055, 1211, 9307, 3660], "avg_logprob": -0.25547445951587094, "compression_ratio": 2.0701754385964914, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2871.85, "end": 2872.37, "word": "بدي", "probability": 0.170654296875}, {"start": 2872.37, "end": 2872.61, "word": " أدى", "probability": 0.5026448567708334}, {"start": 2872.61, "end": 2873.03, "word": " لكوا", "probability": 0.7132975260416666}, {"start": 2873.03, "end": 2873.37, "word": " تانى", "probability": 0.8841145833333334}, {"start": 2873.37, "end": 2873.77, "word": " الثيتا", "probability": 0.61627197265625}, {"start": 2873.77, "end": 2874.05, "word": " بدي", "probability": 0.591552734375}, {"start": 2874.05, "end": 2874.45, "word": " أجيبها", "probability": 0.8904296875}, {"start": 2874.45, "end": 2874.67, "word": " من", "probability": 0.9833984375}, {"start": 2874.67, "end": 2875.33, "word": " وين", "probability": 0.6357421875}, {"start": 2875.33, "end": 2876.07, "word": " بدي", "probability": 0.8330078125}, {"start": 2876.07, "end": 2876.59, "word": " أجيبها", "probability": 0.97822265625}, {"start": 2876.59, "end": 2876.87, "word": " من", "probability": 0.98828125}, {"start": 2876.87, "end": 2877.35, "word": " هذه", "probability": 0.475341796875}, {"start": 2877.35, "end": 2878.31, "word": " يبقى", "probability": 0.9140625}, {"start": 2878.31, "end": 2878.69, "word": " هذه", "probability": 0.8779296875}, {"start": 2878.69, "end": 2879.25, "word": " بقدر", "probability": 0.9195963541666666}, {"start": 2879.25, "end": 2879.75, "word": " أقول", "probability": 0.824462890625}, {"start": 2879.75, "end": 2880.19, "word": " ان", "probability": 0.491943359375}, {"start": 2880.19, "end": 2880.45, "word": " ال", "probability": 0.86669921875}, {"start": 2880.45, "end": 2880.85, "word": " X", "probability": 0.63134765625}, {"start": 2880.85, "end": 2881.31, "word": " على", "probability": 0.73291015625}, {"start": 2881.31, "end": 2882.09, "word": " تلاتة", "probability": 0.8790283203125}, {"start": 2882.09, "end": 2882.73, "word": " تساوى", "probability": 0.826513671875}, {"start": 2882.73, "end": 2883.11, "word": " من", "probability": 0.9638671875}, {"start": 2883.11, "end": 2884.01, "word": " صين", "probability": 0.5423583984375}, {"start": 2884.01, "end": 2884.55, "word": " الثيتا", "probability": 0.8094482421875}, {"start": 2884.55, "end": 2884.75, "word": " من", "probability": 0.9716796875}, {"start": 2884.75, "end": 2885.35, "word": " التعويض", "probability": 0.9669189453125}, {"start": 2885.35, "end": 2885.59, "word": " اللى", "probability": 0.85791015625}, {"start": 2885.59, "end": 2886.01, "word": " فوق", "probability": 0.9853515625}, {"start": 2886.01, "end": 2886.81, "word": " بروح", "probability": 0.9656575520833334}, {"start": 2886.81, "end": 2887.47, "word": " برسمله", "probability": 0.7935791015625}, {"start": 2887.47, "end": 2888.45, "word": " المثلث", "probability": 0.91943359375}, {"start": 2888.45, "end": 2889.27, "word": " بالشكل", "probability": 0.9453125}, {"start": 2889.27, "end": 2889.45, "word": " اللى", "probability": 0.915771484375}, {"start": 2889.45, "end": 2889.71, "word": " عندنا", "probability": 0.6712646484375}, {"start": 2889.71, "end": 2889.97, "word": " هذه", "probability": 0.33642578125}, {"start": 2889.97, "end": 2890.21, "word": " هي", "probability": 0.418212890625}, {"start": 2890.21, "end": 2890.67, "word": " الزاوية", "probability": 0.93759765625}, {"start": 2890.67, "end": 2891.13, "word": " ثيتا", "probability": 0.8271484375}, {"start": 2891.13, "end": 2891.45, "word": " وهي", "probability": 0.86474609375}, {"start": 2891.45, "end": 2891.97, "word": " الزاوية", "probability": 0.97607421875}, {"start": 2891.97, "end": 2892.59, "word": " القائمة", "probability": 0.9322916666666666}, {"start": 2892.59, "end": 2893.25, "word": " ال", "probability": 0.66845703125}, {"start": 2893.25, "end": 2893.51, "word": " J", "probability": 0.6240234375}, {"start": 2893.51, "end": 2894.23, "word": " يساوى", "probability": 0.8421875}, {"start": 2894.23, "end": 2895.03, "word": " المقابل", "probability": 0.9686279296875}, {"start": 2895.03, "end": 2895.63, "word": " على", "probability": 0.921875}, {"start": 2895.63, "end": 2896.41, "word": " ال", "probability": 0.9599609375}, {"start": 2896.41, "end": 2896.81, "word": " water", "probability": 0.90771484375}, {"start": 2896.81, "end": 2897.41, "word": " يبقى", "probability": 0.9888916015625}, {"start": 2897.41, "end": 2897.65, "word": " هذا", "probability": 0.08026123046875}, {"start": 2897.65, "end": 2898.03, "word": " X", "probability": 0.9453125}, {"start": 2898.03, "end": 2898.43, "word": " هذه", "probability": 0.72314453125}, {"start": 2898.43, "end": 2899.19, "word": " تلاتة", "probability": 0.9678955078125}], "temperature": 1.0}, {"id": 127, "seek": 292623, "start": 2899.29, "end": 2926.23, "text": "المجاور تسعة ناقص X تربيع يبقى الكتان المجاور على المقابل المجاور اللي هو الجذر التربيعي اللي تسعة ناقص X تربيع المقابل هو من X ناقص ثيتا وين ثيتا عندنا هذه؟ من وين بده أجيبها؟ بده أجيبها من هذه", "tokens": [45340, 7435, 995, 13063, 6055, 3794, 27884, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 33251, 2655, 7649, 9673, 7435, 995, 13063, 15844, 9673, 4587, 16758, 1211, 9673, 7435, 995, 13063, 13672, 1829, 31439, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 1829, 13672, 1829, 6055, 3794, 27884, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3615, 9673, 4587, 16758, 1211, 31439, 9154, 1783, 8717, 995, 4587, 9381, 38637, 36081, 995, 4032, 9957, 38637, 36081, 995, 43242, 8315, 29538, 22807, 9154, 4032, 9957, 47525, 3224, 5551, 7435, 1829, 3555, 11296, 22807, 47525, 3224, 5551, 7435, 1829, 3555, 11296, 9154, 29538], "avg_logprob": -0.12194940135592507, "compression_ratio": 2.175, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2899.29, "end": 2900.45, "word": "المجاور", "probability": 0.876953125}, {"start": 2900.45, "end": 2901.03, "word": " تسعة", "probability": 0.787109375}, {"start": 2901.03, "end": 2902.01, "word": " ناقص", "probability": 0.952880859375}, {"start": 2902.01, "end": 2902.63, "word": " X", "probability": 0.66064453125}, {"start": 2902.63, "end": 2903.23, "word": " تربيع", "probability": 0.84271240234375}, {"start": 2903.23, "end": 2904.07, "word": " يبقى", "probability": 0.9300537109375}, {"start": 2904.07, "end": 2905.01, "word": " الكتان", "probability": 0.90185546875}, {"start": 2905.01, "end": 2906.49, "word": " المجاور", "probability": 0.9915771484375}, {"start": 2906.49, "end": 2906.87, "word": " على", "probability": 0.91015625}, {"start": 2906.87, "end": 2907.89, "word": " المقابل", "probability": 0.993408203125}, {"start": 2907.89, "end": 2909.31, "word": " المجاور", "probability": 0.9718017578125}, {"start": 2909.31, "end": 2909.89, "word": " اللي", "probability": 0.83984375}, {"start": 2909.89, "end": 2910.05, "word": " هو", "probability": 0.9853515625}, {"start": 2910.05, "end": 2910.69, "word": " الجذر", "probability": 0.9103190104166666}, {"start": 2910.69, "end": 2911.75, "word": " التربيعي", "probability": 0.92109375}, {"start": 2911.75, "end": 2911.89, "word": " اللي", "probability": 0.7109375}, {"start": 2911.89, "end": 2912.61, "word": " تسعة", "probability": 0.95458984375}, {"start": 2912.61, "end": 2913.61, "word": " ناقص", "probability": 0.9688720703125}, {"start": 2913.61, "end": 2913.89, "word": " X", "probability": 0.9892578125}, {"start": 2913.89, "end": 2914.55, "word": " تربيع", "probability": 0.9237060546875}, {"start": 2914.55, "end": 2916.05, "word": " المقابل", "probability": 0.9830322265625}, {"start": 2916.05, "end": 2916.51, "word": " هو", "probability": 0.95556640625}, {"start": 2916.51, "end": 2917.15, "word": " من", "probability": 0.6875}, {"start": 2917.15, "end": 2917.73, "word": " X", "probability": 0.98193359375}, {"start": 2917.73, "end": 2919.29, "word": " ناقص", "probability": 0.986572265625}, {"start": 2919.29, "end": 2920.11, "word": " ثيتا", "probability": 0.696044921875}, {"start": 2920.11, "end": 2921.31, "word": " وين", "probability": 0.85107421875}, {"start": 2921.31, "end": 2921.79, "word": " ثيتا", "probability": 0.8229166666666666}, {"start": 2921.79, "end": 2922.19, "word": " عندنا", "probability": 0.99169921875}, {"start": 2922.19, "end": 2922.87, "word": " هذه؟", "probability": 0.5738525390625}, {"start": 2922.87, "end": 2923.05, "word": " من", "probability": 0.94482421875}, {"start": 2923.05, "end": 2923.31, "word": " وين", "probability": 0.94287109375}, {"start": 2923.31, "end": 2923.61, "word": " بده", "probability": 0.607421875}, {"start": 2923.61, "end": 2924.49, "word": " أجيبها؟", "probability": 0.91259765625}, {"start": 2924.49, "end": 2924.89, "word": " بده", "probability": 0.87353515625}, {"start": 2924.89, "end": 2925.31, "word": " أجيبها", "probability": 0.99365234375}, {"start": 2925.31, "end": 2925.59, "word": " من", "probability": 0.99267578125}, {"start": 2925.59, "end": 2926.23, "word": " هذه", "probability": 0.9228515625}], "temperature": 1.0}, {"id": 128, "seek": 295231, "start": 2926.71, "end": 2952.31, "text": "يبقى θ هنا تساوي sin inverse x على تلاتة يبقى sin inverse x على تلاتة زائد كونستانسيم وبالتالي كتبت نتيجة المسألة بدلالة ال X واضح الآن؟ لسه لا يزال عندنا مزيد من الأمثلة للمحاضرة القادمة", "tokens": [1829, 3555, 4587, 7578, 12622, 34105, 6055, 3794, 995, 45865, 3343, 17340, 2031, 15844, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 3343, 17340, 2031, 15844, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 3794, 32640, 46599, 6027, 2655, 6027, 1829, 9122, 2655, 3555, 2655, 8717, 31371, 7435, 3660, 9673, 3794, 10721, 37977, 47525, 1211, 6027, 3660, 2423, 1783, 4032, 46958, 5016, 6024, 48506, 22807, 5296, 3794, 3224, 20193, 7251, 11622, 6027, 43242, 8315, 3714, 11622, 25708, 9154, 16247, 2304, 12984, 37977, 5296, 19528, 5016, 46958, 25720, 25062, 18513, 46007], "avg_logprob": -0.1658909614098833, "compression_ratio": 1.668421052631579, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2926.71, "end": 2927.31, "word": "يبقى", "probability": 0.8284912109375}, {"start": 2927.31, "end": 2927.61, "word": " θ", "probability": 0.496826171875}, {"start": 2927.61, "end": 2928.13, "word": " هنا", "probability": 0.78662109375}, {"start": 2928.13, "end": 2928.87, "word": " تساوي", "probability": 0.8778076171875}, {"start": 2928.87, "end": 2929.63, "word": " sin", "probability": 0.248046875}, {"start": 2929.63, "end": 2930.55, "word": " inverse", "probability": 0.61279296875}, {"start": 2930.55, "end": 2931.23, "word": " x", "probability": 0.63037109375}, {"start": 2931.23, "end": 2931.49, "word": " على", "probability": 0.4697265625}, {"start": 2931.49, "end": 2932.13, "word": " تلاتة", "probability": 0.77337646484375}, {"start": 2932.13, "end": 2933.11, "word": " يبقى", "probability": 0.9241943359375}, {"start": 2933.11, "end": 2933.69, "word": " sin", "probability": 0.9404296875}, {"start": 2933.69, "end": 2934.89, "word": " inverse", "probability": 0.8642578125}, {"start": 2934.89, "end": 2935.75, "word": " x", "probability": 0.98095703125}, {"start": 2935.75, "end": 2936.23, "word": " على", "probability": 0.857421875}, {"start": 2936.23, "end": 2937.47, "word": " تلاتة", "probability": 0.974609375}, {"start": 2937.47, "end": 2939.41, "word": " زائد", "probability": 0.8605143229166666}, {"start": 2939.41, "end": 2940.39, "word": " كونستانسيم", "probability": 0.7594401041666666}, {"start": 2940.39, "end": 2941.41, "word": " وبالتالي", "probability": 0.90595703125}, {"start": 2941.41, "end": 2941.91, "word": " كتبت", "probability": 0.97998046875}, {"start": 2941.91, "end": 2942.39, "word": " نتيجة", "probability": 0.9979248046875}, {"start": 2942.39, "end": 2943.11, "word": " المسألة", "probability": 0.9837646484375}, {"start": 2943.11, "end": 2944.63, "word": " بدلالة", "probability": 0.965087890625}, {"start": 2944.63, "end": 2944.97, "word": " ال", "probability": 0.43310546875}, {"start": 2944.97, "end": 2945.29, "word": " X", "probability": 0.38330078125}, {"start": 2945.29, "end": 2945.95, "word": " واضح", "probability": 0.9342447916666666}, {"start": 2945.95, "end": 2946.87, "word": " الآن؟", "probability": 0.6764322916666666}, {"start": 2946.87, "end": 2947.57, "word": " لسه", "probability": 0.9363606770833334}, {"start": 2947.57, "end": 2947.67, "word": " لا", "probability": 0.7802734375}, {"start": 2947.67, "end": 2948.11, "word": " يزال", "probability": 0.9837239583333334}, {"start": 2948.11, "end": 2948.57, "word": " عندنا", "probability": 0.8466796875}, {"start": 2948.57, "end": 2949.17, "word": " مزيد", "probability": 0.98291015625}, {"start": 2949.17, "end": 2949.51, "word": " من", "probability": 0.986328125}, {"start": 2949.51, "end": 2950.35, "word": " الأمثلة", "probability": 0.9600830078125}, {"start": 2950.35, "end": 2951.65, "word": " للمحاضرة", "probability": 0.94326171875}, {"start": 2951.65, "end": 2952.31, "word": " القادمة", "probability": 0.9931640625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2952.69575, "duration_after_vad": 2891.767218749993}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/g42mXbCKncs_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/g42mXbCKncs_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..6ef6284cb0863530e2f05fc8abb4ea62cb4aee60
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/g42mXbCKncs_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2000, "start": 9.66, "end": 20.0, "text": "بسم الله الرحمن الرحيم نكمل ما ابتدأناه في المحاضرة الماضية وهو موضوع integration by parts", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 24793, 1211, 19446, 48127, 2655, 3215, 10721, 8315, 3224, 8978, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 37037, 2407, 3714, 2407, 11242, 45367, 10980, 538, 3166], "avg_logprob": -0.09206080758893811, "compression_ratio": 1.2436974789915967, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 9.66, "end": 10.82, "word": "بسم", "probability": 0.76171875}, {"start": 10.82, "end": 11.06, "word": " الله", "probability": 0.97607421875}, {"start": 11.06, "end": 11.48, "word": " الرحمن", "probability": 0.9462890625}, {"start": 11.48, "end": 12.06, "word": " الرحيم", "probability": 0.9931640625}, {"start": 12.06, "end": 14.62, "word": " نكمل", "probability": 0.9070638020833334}, {"start": 14.62, "end": 14.84, "word": " ما", "probability": 0.71337890625}, {"start": 14.84, "end": 15.54, "word": " ابتدأناه", "probability": 0.887939453125}, {"start": 15.54, "end": 15.66, "word": " في", "probability": 0.9296875}, {"start": 15.66, "end": 16.38, "word": " المحاضرة", "probability": 0.9849853515625}, {"start": 16.38, "end": 16.9, "word": " الماضية", "probability": 0.98974609375}, {"start": 16.9, "end": 17.28, "word": " وهو", "probability": 0.7705078125}, {"start": 17.28, "end": 17.98, "word": " موضوع", "probability": 0.96875}, {"start": 17.98, "end": 18.86, "word": " integration", "probability": 0.95654296875}, {"start": 18.86, "end": 19.48, "word": " by", "probability": 0.9453125}, {"start": 19.48, "end": 20.0, "word": " parts", "probability": 0.88330078125}], "temperature": 1.0}, {"id": 2, "seek": 4643, "start": 20.75, "end": 46.43, "text": "طبعا عرفنا في قانون ال integration by parts القانون او هذه القاعدة بتقول integration ل UDV يساوي U في V ناقصة كامل V ده ال U واخدنا على ذلك اللي هو خمسة أمثلة وهذا هو المثال السادس يبقى احنا بدنا integration لsin inverse X شوف يا سيدي", "tokens": [9566, 3555, 3615, 995, 6225, 28480, 8315, 8978, 12174, 7649, 11536, 2423, 10980, 538, 3166, 25062, 7649, 11536, 1975, 2407, 29538, 25062, 995, 22488, 3660, 39894, 39648, 10980, 5296, 624, 35, 53, 7251, 3794, 995, 45865, 624, 8978, 691, 8717, 995, 4587, 9381, 3660, 9122, 10943, 1211, 691, 11778, 3224, 2423, 624, 4032, 47283, 3215, 8315, 15844, 29910, 23275, 13672, 1829, 31439, 16490, 2304, 3794, 3660, 5551, 2304, 12984, 37977, 37037, 15730, 31439, 9673, 12984, 6027, 21136, 18513, 3794, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 47525, 8315, 10980, 5296, 19767, 17340, 1783, 13412, 38688, 35186, 8608, 1829, 16254], "avg_logprob": -0.17015625, "compression_ratio": 1.6621004566210045, "no_speech_prob": 0.0, "words": [{"start": 20.75, "end": 21.29, "word": "طبعا", "probability": 0.83221435546875}, {"start": 21.29, "end": 22.25, "word": " عرفنا", "probability": 0.7959798177083334}, {"start": 22.25, "end": 22.57, "word": " في", "probability": 0.6015625}, {"start": 22.57, "end": 23.15, "word": " قانون", "probability": 0.9803059895833334}, {"start": 23.15, "end": 23.31, "word": " ال", "probability": 0.763671875}, {"start": 23.31, "end": 23.85, "word": " integration", "probability": 0.91845703125}, {"start": 23.85, "end": 24.25, "word": " by", "probability": 0.8037109375}, {"start": 24.25, "end": 24.79, "word": " parts", "probability": 0.91650390625}, {"start": 24.79, "end": 26.45, "word": " القانون", "probability": 0.8434244791666666}, {"start": 26.45, "end": 26.71, "word": " او", "probability": 0.767822265625}, {"start": 26.71, "end": 27.01, "word": " هذه", "probability": 0.939453125}, {"start": 27.01, "end": 27.59, "word": " القاعدة", "probability": 0.976806640625}, {"start": 27.59, "end": 27.97, "word": " بتقول", "probability": 0.93798828125}, {"start": 27.97, "end": 28.67, "word": " integration", "probability": 0.93505859375}, {"start": 28.67, "end": 28.91, "word": " ل", "probability": 0.77685546875}, {"start": 28.91, "end": 29.79, "word": " UDV", "probability": 0.6800130208333334}, {"start": 29.79, "end": 30.87, "word": " يساوي", "probability": 0.783935546875}, {"start": 30.87, "end": 31.11, "word": " U", "probability": 0.93212890625}, {"start": 31.11, "end": 31.29, "word": " في", "probability": 0.78271484375}, {"start": 31.29, "end": 31.65, "word": " V", "probability": 0.955078125}, {"start": 31.65, "end": 32.49, "word": " ناقصة", "probability": 0.90888671875}, {"start": 32.49, "end": 32.95, "word": " كامل", "probability": 0.9104817708333334}, {"start": 32.95, "end": 33.41, "word": " V", "probability": 0.8955078125}, {"start": 33.41, "end": 34.07, "word": " ده", "probability": 0.815673828125}, {"start": 34.07, "end": 34.19, "word": " ال", "probability": 0.41015625}, {"start": 34.19, "end": 34.41, "word": " U", "probability": 0.81201171875}, {"start": 34.41, "end": 35.67, "word": " واخدنا", "probability": 0.9246826171875}, {"start": 35.67, "end": 35.97, "word": " على", "probability": 0.8349609375}, {"start": 35.97, "end": 36.67, "word": " ذلك", "probability": 0.9853515625}, {"start": 36.67, "end": 37.01, "word": " اللي", "probability": 0.7939453125}, {"start": 37.01, "end": 37.17, "word": " هو", "probability": 0.96630859375}, {"start": 37.17, "end": 37.79, "word": " خمسة", "probability": 0.959228515625}, {"start": 37.79, "end": 38.27, "word": " أمثلة", "probability": 0.9095458984375}, {"start": 38.27, "end": 38.71, "word": " وهذا", "probability": 0.8515625}, {"start": 38.71, "end": 38.89, "word": " هو", "probability": 0.9619140625}, {"start": 38.89, "end": 39.69, "word": " المثال", "probability": 0.9892578125}, {"start": 39.69, "end": 40.57, "word": " السادس", "probability": 0.9386393229166666}, {"start": 40.57, "end": 41.43, "word": " يبقى", "probability": 0.9246826171875}, {"start": 41.43, "end": 41.69, "word": " احنا", "probability": 0.9462890625}, {"start": 41.69, "end": 42.01, "word": " بدنا", "probability": 0.9306640625}, {"start": 42.01, "end": 42.75, "word": " integration", "probability": 0.97705078125}, {"start": 42.75, "end": 43.75, "word": " لsin", "probability": 0.6044921875}, {"start": 43.75, "end": 44.81, "word": " inverse", "probability": 0.814453125}, {"start": 44.81, "end": 45.33, "word": " X", "probability": 0.83251953125}, {"start": 45.33, "end": 46.05, "word": " شوف", "probability": 0.941650390625}, {"start": 46.05, "end": 46.19, "word": " يا", "probability": 0.1212158203125}, {"start": 46.19, "end": 46.43, "word": " سيدي", "probability": 0.78369140625}], "temperature": 1.0}, {"id": 3, "seek": 6681, "start": 48.15, "end": 66.81, "text": "التكتيك اللى نتابعه عند تكامل sin inverse x هو اللى نتابعه عند ال cosine inverse وعند ال tan inverse و ال cotan inverse يعني باقي معكوس الدول المتلاتية الستة لو كان اى واحدة فيهم يبقى بدنا نعملها بنفس الطريقة اللى بنعملها فهي تكامل sin inverse x", "tokens": [6027, 2655, 4117, 31371, 4117, 13672, 7578, 8717, 2655, 16758, 3615, 3224, 43242, 6055, 4117, 10943, 1211, 3343, 17340, 2031, 31439, 13672, 7578, 8717, 2655, 16758, 3615, 3224, 43242, 2423, 23565, 17340, 4032, 3615, 41260, 2423, 7603, 17340, 4032, 2423, 26529, 282, 17340, 37495, 22653, 4724, 995, 38436, 20449, 4117, 41779, 32748, 12610, 9673, 2655, 1211, 9307, 10632, 21136, 2655, 3660, 45164, 25961, 1975, 7578, 36764, 24401, 3660, 8978, 16095, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 25957, 1211, 11296, 44945, 36178, 41950, 16572, 28671, 13672, 7578, 44945, 25957, 1211, 11296, 6156, 3224, 1829, 6055, 4117, 10943, 1211, 3343, 17340, 2031], "avg_logprob": -0.2636335819375281, "compression_ratio": 1.94, "no_speech_prob": 0.0, "words": [{"start": 48.15, "end": 48.87, "word": "التكتيك", "probability": 0.6169189453125}, {"start": 48.87, "end": 48.99, "word": " اللى", "probability": 0.640625}, {"start": 48.99, "end": 49.47, "word": " نتابعه", "probability": 0.64912109375}, {"start": 49.47, "end": 49.67, "word": " عند", "probability": 0.9375}, {"start": 49.67, "end": 50.29, "word": " تكامل", "probability": 0.9722900390625}, {"start": 50.29, "end": 50.63, "word": " sin", "probability": 0.440185546875}, {"start": 50.63, "end": 51.17, "word": " inverse", "probability": 0.59423828125}, {"start": 51.17, "end": 51.53, "word": " x", "probability": 0.4453125}, {"start": 51.53, "end": 51.77, "word": " هو", "probability": 0.9462890625}, {"start": 51.77, "end": 51.89, "word": " اللى", "probability": 0.95703125}, {"start": 51.89, "end": 52.37, "word": " نتابعه", "probability": 0.9005859375}, {"start": 52.37, "end": 52.51, "word": " عند", "probability": 0.97314453125}, {"start": 52.51, "end": 52.65, "word": " ال", "probability": 0.428466796875}, {"start": 52.65, "end": 52.99, "word": " cosine", "probability": 0.51123046875}, {"start": 52.99, "end": 53.73, "word": " inverse", "probability": 0.9521484375}, {"start": 53.73, "end": 54.07, "word": " وعند", "probability": 0.67529296875}, {"start": 54.07, "end": 54.21, "word": " ال", "probability": 0.8232421875}, {"start": 54.21, "end": 54.39, "word": " tan", "probability": 0.71923828125}, {"start": 54.39, "end": 54.79, "word": " inverse", "probability": 0.90283203125}, {"start": 54.79, "end": 54.91, "word": " و", "probability": 0.68115234375}, {"start": 54.91, "end": 54.97, "word": " ال", "probability": 0.55810546875}, {"start": 54.97, "end": 55.31, "word": " cotan", "probability": 0.57373046875}, {"start": 55.31, "end": 55.45, "word": " inverse", "probability": 0.93408203125}, {"start": 55.45, "end": 55.73, "word": " يعني", "probability": 0.7734375}, {"start": 55.73, "end": 56.17, "word": " باقي", "probability": 0.8826497395833334}, {"start": 56.17, "end": 56.67, "word": " معكوس", "probability": 0.7174479166666666}, {"start": 56.67, "end": 57.03, "word": " الدول", "probability": 0.91796875}, {"start": 57.03, "end": 57.77, "word": " المتلاتية", "probability": 0.726220703125}, {"start": 57.77, "end": 58.51, "word": " الستة", "probability": 0.82421875}, {"start": 58.51, "end": 59.13, "word": " لو", "probability": 0.60107421875}, {"start": 59.13, "end": 59.45, "word": " كان", "probability": 0.9833984375}, {"start": 59.45, "end": 59.73, "word": " اى", "probability": 0.582763671875}, {"start": 59.73, "end": 60.09, "word": " واحدة", "probability": 0.9495442708333334}, {"start": 60.09, "end": 60.45, "word": " فيهم", "probability": 0.911376953125}, {"start": 60.45, "end": 60.89, "word": " يبقى", "probability": 0.9393310546875}, {"start": 60.89, "end": 61.17, "word": " بدنا", "probability": 0.79931640625}, {"start": 61.17, "end": 61.55, "word": " نعملها", "probability": 0.952880859375}, {"start": 61.55, "end": 61.97, "word": " بنفس", "probability": 0.979248046875}, {"start": 61.97, "end": 62.49, "word": " الطريقة", "probability": 0.9900716145833334}, {"start": 62.49, "end": 62.63, "word": " اللى", "probability": 0.989990234375}, {"start": 62.63, "end": 63.11, "word": " بنعملها", "probability": 0.929931640625}, {"start": 63.11, "end": 63.53, "word": " فهي", "probability": 0.4986165364583333}, {"start": 63.53, "end": 64.67, "word": " تكامل", "probability": 0.9844970703125}, {"start": 64.67, "end": 65.31, "word": " sin", "probability": 0.8876953125}, {"start": 65.31, "end": 66.29, "word": " inverse", "probability": 0.87060546875}, {"start": 66.29, "end": 66.81, "word": " x", "probability": 0.92626953125}], "temperature": 1.0}, {"id": 4, "seek": 8363, "start": 67.85, "end": 83.63, "text": "طيب بنجي ل sin inverse احنا الان بدنا نكاملها يبقى احنا تكملها السابقة نعرفوش لكن مشتقتها نعرفها اذا بدي اروح اخد U تساوي sin inverse X", "tokens": [9566, 1829, 3555, 44945, 7435, 1829, 5296, 3343, 17340, 1975, 5016, 8315, 2423, 7649, 47525, 8315, 8717, 4117, 10943, 1211, 11296, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 6055, 24793, 1211, 11296, 21136, 16758, 28671, 8717, 3615, 28480, 2407, 8592, 44381, 37893, 2655, 38149, 11296, 8717, 3615, 28480, 11296, 1975, 15730, 4724, 16254, 1975, 32887, 5016, 1975, 9778, 3215, 624, 6055, 3794, 995, 45865, 3343, 17340, 1783], "avg_logprob": -0.27481617471751046, "compression_ratio": 1.5170068027210883, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 67.85, "end": 68.37, "word": "طيب", "probability": 0.63677978515625}, {"start": 68.37, "end": 69.39, "word": " بنجي", "probability": 0.6922200520833334}, {"start": 69.39, "end": 69.49, "word": " ل", "probability": 0.91943359375}, {"start": 69.49, "end": 69.79, "word": " sin", "probability": 0.328125}, {"start": 69.79, "end": 70.33, "word": " inverse", "probability": 0.73291015625}, {"start": 70.33, "end": 71.37, "word": " احنا", "probability": 0.8592122395833334}, {"start": 71.37, "end": 71.75, "word": " الان", "probability": 0.6046142578125}, {"start": 71.75, "end": 72.15, "word": " بدنا", "probability": 0.944091796875}, {"start": 72.15, "end": 72.87, "word": " نكاملها", "probability": 0.9037109375}, {"start": 72.87, "end": 73.25, "word": " يبقى", "probability": 0.8992919921875}, {"start": 73.25, "end": 73.45, "word": " احنا", "probability": 0.9137369791666666}, {"start": 73.45, "end": 74.05, "word": " تكملها", "probability": 0.774658203125}, {"start": 74.05, "end": 74.43, "word": " السابقة", "probability": 0.8743489583333334}, {"start": 74.43, "end": 75.33, "word": " نعرفوش", "probability": 0.7828125}, {"start": 75.33, "end": 75.63, "word": " لكن", "probability": 0.857421875}, {"start": 75.63, "end": 76.71, "word": " مشتقتها", "probability": 0.81280517578125}, {"start": 76.71, "end": 77.83, "word": " نعرفها", "probability": 0.937744140625}, {"start": 77.83, "end": 78.39, "word": " اذا", "probability": 0.690185546875}, {"start": 78.39, "end": 78.67, "word": " بدي", "probability": 0.4326171875}, {"start": 78.67, "end": 78.93, "word": " اروح", "probability": 0.80810546875}, {"start": 78.93, "end": 79.65, "word": " اخد", "probability": 0.8395182291666666}, {"start": 79.65, "end": 80.09, "word": " U", "probability": 0.58203125}, {"start": 80.09, "end": 81.35, "word": " تساوي", "probability": 0.86181640625}, {"start": 81.35, "end": 81.99, "word": " sin", "probability": 0.91357421875}, {"start": 81.99, "end": 82.93, "word": " inverse", "probability": 0.87451171875}, {"start": 82.93, "end": 83.63, "word": " X", "probability": 0.7978515625}], "temperature": 1.0}, {"id": 5, "seek": 10499, "start": 85.09, "end": 104.99, "text": "وداخل الـ dv هي عبارة عن dx اللى بظل فى المثلة يبقى لو جينا اشتقناها بدى يصير du واحد على الجدرى التربية الى واحد ناقص x تربية فى dx وهدى لو كاملناها ال V بدى يساوي مى؟", "tokens": [23328, 47283, 1211, 2423, 39184, 274, 85, 39896, 6225, 3555, 9640, 3660, 18871, 30017, 13672, 7578, 4724, 19913, 1211, 6156, 7578, 9673, 12984, 37977, 7251, 3555, 4587, 7578, 45164, 10874, 1829, 8315, 1975, 8592, 2655, 4587, 8315, 11296, 47525, 7578, 7251, 9381, 13546, 1581, 36764, 24401, 15844, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 2423, 7578, 36764, 24401, 8717, 995, 4587, 9381, 2031, 6055, 25513, 10632, 6156, 7578, 30017, 37037, 3215, 7578, 45164, 9122, 10943, 1211, 8315, 11296, 2423, 691, 47525, 7578, 7251, 3794, 995, 45865, 3714, 7578, 22807], "avg_logprob": -0.3006944464312659, "compression_ratio": 1.6666666666666667, "no_speech_prob": 0.0, "words": [{"start": 85.09, "end": 86.05, "word": "وداخل", "probability": 0.3227437337239583}, {"start": 86.05, "end": 86.27, "word": " الـ", "probability": 0.3876953125}, {"start": 86.27, "end": 87.15, "word": " dv", "probability": 0.49652099609375}, {"start": 87.15, "end": 87.75, "word": " هي", "probability": 0.82666015625}, {"start": 87.75, "end": 88.53, "word": " عبارة", "probability": 0.954833984375}, {"start": 88.53, "end": 88.93, "word": " عن", "probability": 0.99658203125}, {"start": 88.93, "end": 89.41, "word": " dx", "probability": 0.85986328125}, {"start": 89.41, "end": 89.71, "word": " اللى", "probability": 0.705322265625}, {"start": 89.71, "end": 90.01, "word": " بظل", "probability": 0.6901041666666666}, {"start": 90.01, "end": 90.23, "word": " فى", "probability": 0.728271484375}, {"start": 90.23, "end": 90.75, "word": " المثلة", "probability": 0.8243815104166666}, {"start": 90.75, "end": 91.73, "word": " يبقى", "probability": 0.8729248046875}, {"start": 91.73, "end": 91.93, "word": " لو", "probability": 0.900390625}, {"start": 91.93, "end": 92.21, "word": " جينا", "probability": 0.8782552083333334}, {"start": 92.21, "end": 93.09, "word": " اشتقناها", "probability": 0.90234375}, {"start": 93.09, "end": 93.71, "word": " بدى", "probability": 0.5513916015625}, {"start": 93.71, "end": 94.13, "word": " يصير", "probability": 0.9318033854166666}, {"start": 94.13, "end": 94.97, "word": " du", "probability": 0.64697265625}, {"start": 94.97, "end": 96.15, "word": " واحد", "probability": 0.7376708984375}, {"start": 96.15, "end": 96.79, "word": " على", "probability": 0.7451171875}, {"start": 96.79, "end": 97.39, "word": " الجدرى", "probability": 0.8763427734375}, {"start": 97.39, "end": 98.01, "word": " التربية", "probability": 0.8893229166666666}, {"start": 98.01, "end": 98.41, "word": " الى", "probability": 0.715087890625}, {"start": 98.41, "end": 98.81, "word": " واحد", "probability": 0.981201171875}, {"start": 98.81, "end": 99.53, "word": " ناقص", "probability": 0.962890625}, {"start": 99.53, "end": 99.91, "word": " x", "probability": 0.85693359375}, {"start": 99.91, "end": 100.47, "word": " تربية", "probability": 0.921875}, {"start": 100.47, "end": 100.73, "word": " فى", "probability": 0.902099609375}, {"start": 100.73, "end": 101.27, "word": " dx", "probability": 0.912109375}, {"start": 101.27, "end": 102.23, "word": " وهدى", "probability": 0.6626790364583334}, {"start": 102.23, "end": 102.49, "word": " لو", "probability": 0.994140625}, {"start": 102.49, "end": 103.39, "word": " كاملناها", "probability": 0.875732421875}, {"start": 103.39, "end": 103.57, "word": " ال", "probability": 0.73583984375}, {"start": 103.57, "end": 103.81, "word": " V", "probability": 0.548828125}, {"start": 103.81, "end": 104.23, "word": " بدى", "probability": 0.7054443359375}, {"start": 104.23, "end": 104.55, "word": " يساوي", "probability": 0.7960205078125}, {"start": 104.55, "end": 104.99, "word": " مى؟", "probability": 0.5751139322916666}], "temperature": 1.0}, {"id": 6, "seek": 12491, "start": 105.23, "end": 124.91, "text": "بدي يساوي ال X طلعلي هنا U في V يبقى X في sin inverse X ناقص تكامل V اللي ب X ده ال U واحد على الجذر التربيهي اللي واحد ناقص X تربيه DX", "tokens": [3555, 16254, 7251, 3794, 995, 45865, 2423, 1783, 23032, 1211, 3615, 20292, 34105, 624, 8978, 691, 7251, 3555, 4587, 7578, 1783, 8978, 3343, 17340, 1783, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211, 691, 13672, 1829, 4724, 1783, 11778, 3224, 2423, 624, 36764, 24401, 15844, 25724, 8848, 2288, 16712, 2288, 21292, 3224, 1829, 13672, 1829, 36764, 24401, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3224, 48817], "avg_logprob": -0.24839155156822765, "compression_ratio": 1.4794520547945205, "no_speech_prob": 0.0, "words": [{"start": 105.23, "end": 105.71, "word": "بدي", "probability": 0.22247314453125}, {"start": 105.71, "end": 106.61, "word": " يساوي", "probability": 0.83056640625}, {"start": 106.61, "end": 107.21, "word": " ال", "probability": 0.751953125}, {"start": 107.21, "end": 107.71, "word": " X", "probability": 0.45263671875}, {"start": 107.71, "end": 108.93, "word": " طلعلي", "probability": 0.6304931640625}, {"start": 108.93, "end": 109.27, "word": " هنا", "probability": 0.97900390625}, {"start": 109.27, "end": 109.73, "word": " U", "probability": 0.88623046875}, {"start": 109.73, "end": 110.27, "word": " في", "probability": 0.83544921875}, {"start": 110.27, "end": 110.75, "word": " V", "probability": 0.9619140625}, {"start": 110.75, "end": 111.59, "word": " يبقى", "probability": 0.91357421875}, {"start": 111.59, "end": 112.01, "word": " X", "probability": 0.9609375}, {"start": 112.01, "end": 112.27, "word": " في", "probability": 0.92041015625}, {"start": 112.27, "end": 112.89, "word": " sin", "probability": 0.2083740234375}, {"start": 112.89, "end": 113.73, "word": " inverse", "probability": 0.67626953125}, {"start": 113.73, "end": 114.27, "word": " X", "probability": 0.94384765625}, {"start": 114.27, "end": 115.29, "word": " ناقص", "probability": 0.8988037109375}, {"start": 115.29, "end": 116.11, "word": " تكامل", "probability": 0.979736328125}, {"start": 116.11, "end": 116.71, "word": " V", "probability": 0.96142578125}, {"start": 116.71, "end": 117.17, "word": " اللي", "probability": 0.6890869140625}, {"start": 117.17, "end": 117.45, "word": " ب", "probability": 0.65185546875}, {"start": 117.45, "end": 117.91, "word": " X", "probability": 0.6171875}, {"start": 117.91, "end": 118.77, "word": " ده", "probability": 0.88818359375}, {"start": 118.77, "end": 118.87, "word": " ال", "probability": 0.66650390625}, {"start": 118.87, "end": 119.17, "word": " U", "probability": 0.958984375}, {"start": 119.17, "end": 119.87, "word": " واحد", "probability": 0.871826171875}, {"start": 119.87, "end": 120.09, "word": " على", "probability": 0.74462890625}, {"start": 120.09, "end": 120.65, "word": " الجذر", "probability": 0.7705078125}, {"start": 120.65, "end": 121.49, "word": " التربيهي", "probability": 0.8494140625}, {"start": 121.49, "end": 121.65, "word": " اللي", "probability": 0.5799560546875}, {"start": 121.65, "end": 122.17, "word": " واحد", "probability": 0.946533203125}, {"start": 122.17, "end": 123.23, "word": " ناقص", "probability": 0.984619140625}, {"start": 123.23, "end": 123.65, "word": " X", "probability": 0.98193359375}, {"start": 123.65, "end": 124.63, "word": " تربيه", "probability": 0.907470703125}, {"start": 124.63, "end": 124.91, "word": " DX", "probability": 0.87548828125}], "temperature": 1.0}, {"id": 7, "seek": 13863, "start": 126.17, "end": 138.63, "text": "إذا استخدمنا integration by parts لتكامل sin inverse x وصلنا إلى هذا الشكل ما انتهيناش إذا لسه ضايل عندنا تكامل", "tokens": [28814, 15730, 44713, 9778, 40448, 8315, 10980, 538, 3166, 5296, 2655, 4117, 10943, 1211, 3343, 17340, 2031, 4032, 36520, 8315, 30731, 23758, 25124, 28820, 19446, 16472, 47395, 1829, 8315, 8592, 11933, 15730, 5296, 3794, 3224, 48812, 995, 26895, 43242, 8315, 6055, 4117, 10943, 1211], "avg_logprob": -0.23020833598242865, "compression_ratio": 1.2985074626865671, "no_speech_prob": 0.0, "words": [{"start": 126.17, "end": 126.63, "word": "إذا", "probability": 0.52911376953125}, {"start": 126.63, "end": 127.95, "word": " استخدمنا", "probability": 0.9432373046875}, {"start": 127.95, "end": 128.49, "word": " integration", "probability": 0.7666015625}, {"start": 128.49, "end": 128.99, "word": " by", "probability": 0.896484375}, {"start": 128.99, "end": 129.67, "word": " parts", "probability": 0.9443359375}, {"start": 129.67, "end": 131.01, "word": " لتكامل", "probability": 0.97939453125}, {"start": 131.01, "end": 131.39, "word": " sin", "probability": 0.625}, {"start": 131.39, "end": 131.89, "word": " inverse", "probability": 0.72802734375}, {"start": 131.89, "end": 132.25, "word": " x", "probability": 0.57666015625}, {"start": 132.25, "end": 132.95, "word": " وصلنا", "probability": 0.9031575520833334}, {"start": 132.95, "end": 133.31, "word": " إلى", "probability": 0.86328125}, {"start": 133.31, "end": 133.69, "word": " هذا", "probability": 0.96875}, {"start": 133.69, "end": 134.23, "word": " الشكل", "probability": 0.9921875}, {"start": 134.23, "end": 135.11, "word": " ما", "probability": 0.50732421875}, {"start": 135.11, "end": 135.95, "word": " انتهيناش", "probability": 0.79736328125}, {"start": 135.95, "end": 136.29, "word": " إذا", "probability": 0.898681640625}, {"start": 136.29, "end": 136.81, "word": " لسه", "probability": 0.7588704427083334}, {"start": 136.81, "end": 137.21, "word": " ضايل", "probability": 0.6322428385416666}, {"start": 137.21, "end": 137.79, "word": " عندنا", "probability": 0.686767578125}, {"start": 137.79, "end": 138.63, "word": " تكامل", "probability": 0.9913330078125}], "temperature": 1.0}, {"id": 8, "seek": 14524, "start": 139.18, "end": 145.24, "text": "هذا التكامل هههههههههههههههههههههههههههههههه", "tokens": [3224, 15730, 16712, 4117, 10943, 1211, 8032, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224, 3224], "avg_logprob": -0.3405448794364929, "compression_ratio": 2.5294117647058822, "no_speech_prob": 0.0, "words": [{"start": 139.18, "end": 139.78, "word": "هذا", "probability": 0.894775390625}, {"start": 139.78, "end": 140.76, "word": " التكامل", "probability": 0.974609375}, {"start": 140.76, "end": 145.24, "word": " هههههههههههههههههههههههههههههههه", "probability": 0.8678379058837891}], "temperature": 1.0}, {"id": 9, "seek": 18627, "start": 158.93, "end": 186.27, "text": "إذا لو حطيت ال W يسوي واحد ناقص X تربيع DW ناقص اتنين X DX لإن مشتاقة الكون أستغل ب Zero ماعنديش اتنينات يبقى ممكن أخد ناقص نص DW اللي هو بدي يسوى من ال X DX يبقى أنا هشيل ال X DX و أحط مكانها ناقص نص DW", "tokens": [28814, 15730, 45164, 11331, 9566, 36081, 2423, 343, 7251, 3794, 45865, 36764, 24401, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3615, 45318, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 1783, 48817, 5296, 28814, 1863, 37893, 2655, 995, 28671, 2423, 30544, 5551, 14851, 17082, 1211, 4724, 17182, 19446, 3615, 1863, 16254, 8592, 1975, 2655, 1863, 9957, 9307, 7251, 3555, 4587, 7578, 3714, 43020, 5551, 9778, 3215, 8717, 995, 4587, 9381, 8717, 9381, 45318, 13672, 1829, 31439, 4724, 16254, 7251, 3794, 2407, 7578, 9154, 2423, 1783, 48817, 7251, 3555, 4587, 7578, 41850, 8032, 8592, 26895, 2423, 1783, 48817, 4032, 5551, 5016, 9566, 3714, 41361, 11296, 8717, 995, 4587, 9381, 8717, 9381, 45318], "avg_logprob": -0.2656249873406064, "compression_ratio": 1.7552083333333333, "no_speech_prob": 0.0, "words": [{"start": 158.93, "end": 159.23, "word": "إذا", "probability": 0.57421875}, {"start": 159.23, "end": 159.49, "word": " لو", "probability": 0.9765625}, {"start": 159.49, "end": 160.03, "word": " حطيت", "probability": 0.8216145833333334}, {"start": 160.03, "end": 160.19, "word": " ال", "probability": 0.765625}, {"start": 160.19, "end": 160.65, "word": " W", "probability": 0.103515625}, {"start": 160.65, "end": 161.31, "word": " يسوي", "probability": 0.7317708333333334}, {"start": 161.31, "end": 161.89, "word": " واحد", "probability": 0.779052734375}, {"start": 161.89, "end": 162.43, "word": " ناقص", "probability": 0.906982421875}, {"start": 162.43, "end": 162.73, "word": " X", "probability": 0.8486328125}, {"start": 162.73, "end": 163.41, "word": " تربيع", "probability": 0.845703125}, {"start": 163.41, "end": 164.31, "word": " DW", "probability": 0.35595703125}, {"start": 164.31, "end": 165.63, "word": " ناقص", "probability": 0.9605712890625}, {"start": 165.63, "end": 166.33, "word": " اتنين", "probability": 0.9456787109375}, {"start": 166.33, "end": 166.79, "word": " X", "probability": 0.69580078125}, {"start": 166.79, "end": 167.27, "word": " DX", "probability": 0.93798828125}, {"start": 167.27, "end": 167.57, "word": " لإن", "probability": 0.7119547526041666}, {"start": 167.57, "end": 168.15, "word": " مشتاقة", "probability": 0.82177734375}, {"start": 168.15, "end": 168.53, "word": " الكون", "probability": 0.89306640625}, {"start": 168.53, "end": 169.01, "word": " أستغل", "probability": 0.4371337890625}, {"start": 169.01, "end": 169.27, "word": " ب", "probability": 0.59814453125}, {"start": 169.27, "end": 169.73, "word": " Zero", "probability": 0.1673583984375}, {"start": 169.73, "end": 171.17, "word": " ماعنديش", "probability": 0.91962890625}, {"start": 171.17, "end": 172.25, "word": " اتنينات", "probability": 0.85107421875}, {"start": 172.25, "end": 172.93, "word": " يبقى", "probability": 0.850341796875}, {"start": 172.93, "end": 173.43, "word": " ممكن", "probability": 0.97802734375}, {"start": 173.43, "end": 174.09, "word": " أخد", "probability": 0.625}, {"start": 174.09, "end": 175.03, "word": " ناقص", "probability": 0.99462890625}, {"start": 175.03, "end": 175.61, "word": " نص", "probability": 0.988525390625}, {"start": 175.61, "end": 176.53, "word": " DW", "probability": 0.94189453125}, {"start": 176.53, "end": 177.11, "word": " اللي", "probability": 0.78662109375}, {"start": 177.11, "end": 177.21, "word": " هو", "probability": 0.55419921875}, {"start": 177.21, "end": 177.53, "word": " بدي", "probability": 0.525146484375}, {"start": 177.53, "end": 177.91, "word": " يسوى", "probability": 0.63323974609375}, {"start": 177.91, "end": 178.13, "word": " من", "probability": 0.369384765625}, {"start": 178.13, "end": 179.09, "word": " ال", "probability": 0.4912109375}, {"start": 179.09, "end": 179.51, "word": " X", "probability": 0.96044921875}, {"start": 179.51, "end": 180.21, "word": " DX", "probability": 0.9814453125}, {"start": 180.21, "end": 181.45, "word": " يبقى", "probability": 0.965576171875}, {"start": 181.45, "end": 181.79, "word": " أنا", "probability": 0.465576171875}, {"start": 181.79, "end": 182.37, "word": " هشيل", "probability": 0.9534505208333334}, {"start": 182.37, "end": 182.55, "word": " ال", "probability": 0.8544921875}, {"start": 182.55, "end": 182.87, "word": " X", "probability": 0.95654296875}, {"start": 182.87, "end": 183.35, "word": " DX", "probability": 0.98291015625}, {"start": 183.35, "end": 183.57, "word": " و", "probability": 0.89306640625}, {"start": 183.57, "end": 183.79, "word": " أحط", "probability": 0.7991536458333334}, {"start": 183.79, "end": 184.37, "word": " مكانها", "probability": 0.9860026041666666}, {"start": 184.37, "end": 185.29, "word": " ناقص", "probability": 0.9964599609375}, {"start": 185.29, "end": 185.83, "word": " نص", "probability": 0.993896484375}, {"start": 185.83, "end": 186.27, "word": " DW", "probability": 0.986328125}], "temperature": 1.0}, {"id": 10, "seek": 20430, "start": 186.96, "end": 204.3, "text": "إذا بدها تصير المسألة هي x في sin inverse x ناقص تكامل هذه النُص برا بإشارة سالب بيصير هذا موجة بيبقى زائد نُص تكامل dw على جذر w", "tokens": [28814, 15730, 47525, 11296, 6055, 9381, 13546, 9673, 3794, 10721, 37977, 39896, 2031, 8978, 3343, 17340, 2031, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211, 29538, 28239, 10859, 9381, 4724, 23557, 4724, 28814, 8592, 9640, 3660, 8608, 6027, 3555, 4724, 1829, 9381, 13546, 23758, 3714, 29245, 3660, 4724, 1829, 3555, 4587, 7578, 30767, 16373, 3215, 8717, 10859, 9381, 6055, 4117, 10943, 1211, 27379, 15844, 10874, 8848, 2288, 261], "avg_logprob": -0.21886321859083313, "compression_ratio": 1.411764705882353, "no_speech_prob": 0.0, "words": [{"start": 186.96, "end": 187.5, "word": "إذا", "probability": 0.50592041015625}, {"start": 187.5, "end": 187.84, "word": " بدها", "probability": 0.533203125}, {"start": 187.84, "end": 188.22, "word": " تصير", "probability": 0.859375}, {"start": 188.22, "end": 189.02, "word": " المسألة", "probability": 0.878662109375}, {"start": 189.02, "end": 189.28, "word": " هي", "probability": 0.533203125}, {"start": 189.28, "end": 189.68, "word": " x", "probability": 0.63134765625}, {"start": 189.68, "end": 189.9, "word": " في", "probability": 0.564453125}, {"start": 189.9, "end": 190.42, "word": " sin", "probability": 0.658203125}, {"start": 190.42, "end": 191.2, "word": " inverse", "probability": 0.72265625}, {"start": 191.2, "end": 191.82, "word": " x", "probability": 0.95263671875}, {"start": 191.82, "end": 193.02, "word": " ناقص", "probability": 0.930419921875}, {"start": 193.02, "end": 193.6, "word": " تكامل", "probability": 0.9171142578125}, {"start": 193.6, "end": 193.88, "word": " هذه", "probability": 0.55810546875}, {"start": 193.88, "end": 194.4, "word": " النُص", "probability": 0.793212890625}, {"start": 194.4, "end": 194.84, "word": " برا", "probability": 0.732177734375}, {"start": 194.84, "end": 195.68, "word": " بإشارة", "probability": 0.98095703125}, {"start": 195.68, "end": 196.62, "word": " سالب", "probability": 0.7859700520833334}, {"start": 196.62, "end": 197.02, "word": " بيصير", "probability": 0.78021240234375}, {"start": 197.02, "end": 197.38, "word": " هذا", "probability": 0.5849609375}, {"start": 197.38, "end": 197.94, "word": " موجة", "probability": 0.9480794270833334}, {"start": 197.94, "end": 198.52, "word": " بيبقى", "probability": 0.95048828125}, {"start": 198.52, "end": 199.02, "word": " زائد", "probability": 0.7196858723958334}, {"start": 199.02, "end": 199.42, "word": " نُص", "probability": 0.9332682291666666}, {"start": 199.42, "end": 200.84, "word": " تكامل", "probability": 0.986083984375}, {"start": 200.84, "end": 202.04, "word": " dw", "probability": 0.73681640625}, {"start": 202.04, "end": 203.06, "word": " على", "probability": 0.8115234375}, {"start": 203.06, "end": 203.78, "word": " جذر", "probability": 0.9195963541666666}, {"start": 203.78, "end": 204.3, "word": " w", "probability": 0.477294921875}], "temperature": 1.0}, {"id": 11, "seek": 21814, "start": 207.38, "end": 218.14, "text": "هذا بده يساوي x في sin inverse x زائد نص وتكامل w أص ناقص نص dw", "tokens": [3224, 15730, 47525, 3224, 7251, 3794, 995, 45865, 2031, 8978, 3343, 17340, 2031, 30767, 16373, 3215, 8717, 9381, 34683, 4117, 10943, 1211, 261, 5551, 9381, 8717, 995, 4587, 9381, 8717, 9381, 27379], "avg_logprob": -0.31889204545454547, "compression_ratio": 1.0666666666666667, "no_speech_prob": 0.0, "words": [{"start": 207.38, "end": 207.86, "word": "هذا", "probability": 0.779296875}, {"start": 207.86, "end": 208.22, "word": " بده", "probability": 0.22955322265625}, {"start": 208.22, "end": 208.7, "word": " يساوي", "probability": 0.74755859375}, {"start": 208.7, "end": 209.24, "word": " x", "probability": 0.71533203125}, {"start": 209.24, "end": 210.0, "word": " في", "probability": 0.54052734375}, {"start": 210.0, "end": 210.5, "word": " sin", "probability": 0.6552734375}, {"start": 210.5, "end": 211.2, "word": " inverse", "probability": 0.82763671875}, {"start": 211.2, "end": 211.76, "word": " x", "probability": 0.9775390625}, {"start": 211.76, "end": 212.78, "word": " زائد", "probability": 0.8865559895833334}, {"start": 212.78, "end": 213.18, "word": " نص", "probability": 0.977294921875}, {"start": 213.18, "end": 215.06, "word": " وتكامل", "probability": 0.893798828125}, {"start": 215.06, "end": 215.98, "word": " w", "probability": 0.6220703125}, {"start": 215.98, "end": 216.54, "word": " أص", "probability": 0.443115234375}, {"start": 216.54, "end": 217.12, "word": " ناقص", "probability": 0.892333984375}, {"start": 217.12, "end": 217.68, "word": " نص", "probability": 0.9921875}, {"start": 217.68, "end": 218.14, "word": " dw", "probability": 0.50732421875}], "temperature": 1.0}, {"id": 12, "seek": 24007, "start": 219.85, "end": 240.07, "text": "الهم من الكامل هذي يبقى نتيجة x في sin inverse x زائد نص ال w هذي بدنا نضيف لل أس واحد و نقسم على الأس الجديد يبقى بصير أن نص نص على نص زائد constant c", "tokens": [6027, 16095, 9154, 33251, 10943, 1211, 8032, 8848, 1829, 7251, 3555, 4587, 7578, 8717, 31371, 7435, 3660, 2031, 8978, 3343, 17340, 2031, 30767, 16373, 3215, 8717, 9381, 2423, 261, 8032, 8848, 1829, 47525, 8315, 8717, 11242, 33911, 24976, 5551, 3794, 36764, 24401, 4032, 8717, 4587, 38251, 15844, 16247, 3794, 25724, 16254, 3215, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 14739, 8717, 9381, 8717, 9381, 15844, 8717, 9381, 30767, 16373, 3215, 5754, 269], "avg_logprob": -0.24336473092640917, "compression_ratio": 1.5217391304347827, "no_speech_prob": 0.0, "words": [{"start": 219.85, "end": 220.37, "word": "الهم", "probability": 0.4710693359375}, {"start": 220.37, "end": 220.59, "word": " من", "probability": 0.93701171875}, {"start": 220.59, "end": 221.21, "word": " الكامل", "probability": 0.81787109375}, {"start": 221.21, "end": 221.61, "word": " هذي", "probability": 0.3760579427083333}, {"start": 221.61, "end": 221.91, "word": " يبقى", "probability": 0.897705078125}, {"start": 221.91, "end": 222.73, "word": " نتيجة", "probability": 0.9317626953125}, {"start": 222.73, "end": 223.17, "word": " x", "probability": 0.5986328125}, {"start": 223.17, "end": 223.45, "word": " في", "probability": 0.5166015625}, {"start": 223.45, "end": 224.01, "word": " sin", "probability": 0.4658203125}, {"start": 224.01, "end": 224.79, "word": " inverse", "probability": 0.8515625}, {"start": 224.79, "end": 225.53, "word": " x", "probability": 0.966796875}, {"start": 225.53, "end": 227.05, "word": " زائد", "probability": 0.8170572916666666}, {"start": 227.05, "end": 227.67, "word": " نص", "probability": 0.97314453125}, {"start": 227.67, "end": 228.35, "word": " ال", "probability": 0.83056640625}, {"start": 228.35, "end": 228.81, "word": " w", "probability": 0.48193359375}, {"start": 228.81, "end": 229.25, "word": " هذي", "probability": 0.68896484375}, {"start": 229.25, "end": 229.55, "word": " بدنا", "probability": 0.731201171875}, {"start": 229.55, "end": 229.93, "word": " نضيف", "probability": 0.9861653645833334}, {"start": 229.93, "end": 230.15, "word": " لل", "probability": 0.6103515625}, {"start": 230.15, "end": 230.41, "word": " أس", "probability": 0.6263427734375}, {"start": 230.41, "end": 230.79, "word": " واحد", "probability": 0.971923828125}, {"start": 230.79, "end": 230.95, "word": " و", "probability": 0.98583984375}, {"start": 230.95, "end": 231.59, "word": " نقسم", "probability": 0.9269205729166666}, {"start": 231.59, "end": 232.35, "word": " على", "probability": 0.80615234375}, {"start": 232.35, "end": 232.89, "word": " الأس", "probability": 0.922119140625}, {"start": 232.89, "end": 233.83, "word": " الجديد", "probability": 0.982421875}, {"start": 233.83, "end": 234.67, "word": " يبقى", "probability": 0.9771728515625}, {"start": 234.67, "end": 235.15, "word": " بصير", "probability": 0.8271484375}, {"start": 235.15, "end": 235.49, "word": " أن", "probability": 0.1890869140625}, {"start": 235.49, "end": 235.95, "word": " نص", "probability": 0.866943359375}, {"start": 235.95, "end": 236.43, "word": " نص", "probability": 0.981201171875}, {"start": 236.43, "end": 236.95, "word": " على", "probability": 0.80908203125}, {"start": 236.95, "end": 237.57, "word": " نص", "probability": 0.996337890625}, {"start": 237.57, "end": 238.75, "word": " زائد", "probability": 0.9680989583333334}, {"start": 238.75, "end": 239.47, "word": " constant", "probability": 0.87841796875}, {"start": 239.47, "end": 240.07, "word": " c", "probability": 0.488037109375}], "temperature": 1.0}, {"id": 13, "seek": 25282, "start": 242.0, "end": 252.82, "text": "الإجابة عندي زي ما انت شايف فيها two variables اللي هو ال X و ال W لكن رأس المثل كان بدلالة X إذا بدنا نرجع و نكتب ال W بدلالة", "tokens": [6027, 28814, 7435, 16758, 3660, 18871, 16254, 30767, 1829, 19446, 16472, 2655, 13412, 995, 33911, 8978, 11296, 732, 9102, 13672, 1829, 31439, 2423, 1783, 4032, 2423, 343, 44381, 12602, 10721, 3794, 9673, 12984, 1211, 25961, 47525, 1211, 6027, 3660, 1783, 11933, 15730, 47525, 8315, 8717, 47341, 3615, 4032, 8717, 4117, 2655, 3555, 2423, 343, 47525, 1211, 6027, 3660], "avg_logprob": -0.20113877219668888, "compression_ratio": 1.4081632653061225, "no_speech_prob": 0.0, "words": [{"start": 242.0, "end": 242.68, "word": "الإجابة", "probability": 0.8828125}, {"start": 242.68, "end": 243.02, "word": " عندي", "probability": 0.671630859375}, {"start": 243.02, "end": 243.24, "word": " زي", "probability": 0.85888671875}, {"start": 243.24, "end": 243.34, "word": " ما", "probability": 0.9775390625}, {"start": 243.34, "end": 243.56, "word": " انت", "probability": 0.77197265625}, {"start": 243.56, "end": 244.0, "word": " شايف", "probability": 0.9889322916666666}, {"start": 244.0, "end": 244.34, "word": " فيها", "probability": 0.49609375}, {"start": 244.34, "end": 244.6, "word": " two", "probability": 0.6689453125}, {"start": 244.6, "end": 245.44, "word": " variables", "probability": 0.95849609375}, {"start": 245.44, "end": 245.72, "word": " اللي", "probability": 0.7064208984375}, {"start": 245.72, "end": 245.84, "word": " هو", "probability": 0.9404296875}, {"start": 245.84, "end": 245.94, "word": " ال", "probability": 0.8935546875}, {"start": 245.94, "end": 246.2, "word": " X", "probability": 0.724609375}, {"start": 246.2, "end": 246.34, "word": " و", "probability": 0.367431640625}, {"start": 246.34, "end": 246.46, "word": " ال", "probability": 0.75244140625}, {"start": 246.46, "end": 246.88, "word": " W", "probability": 0.93603515625}, {"start": 246.88, "end": 247.62, "word": " لكن", "probability": 0.75537109375}, {"start": 247.62, "end": 248.08, "word": " رأس", "probability": 0.85986328125}, {"start": 248.08, "end": 248.58, "word": " المثل", "probability": 0.8709309895833334}, {"start": 248.58, "end": 248.92, "word": " كان", "probability": 0.97314453125}, {"start": 248.92, "end": 249.62, "word": " بدلالة", "probability": 0.9207763671875}, {"start": 249.62, "end": 249.94, "word": " X", "probability": 0.98291015625}, {"start": 249.94, "end": 250.26, "word": " إذا", "probability": 0.869384765625}, {"start": 250.26, "end": 250.6, "word": " بدنا", "probability": 0.65966796875}, {"start": 250.6, "end": 250.96, "word": " نرجع", "probability": 0.9736328125}, {"start": 250.96, "end": 251.06, "word": " و", "probability": 0.95263671875}, {"start": 251.06, "end": 251.4, "word": " نكتب", "probability": 0.9896240234375}, {"start": 251.4, "end": 251.54, "word": " ال", "probability": 0.509765625}, {"start": 251.54, "end": 251.9, "word": " W", "probability": 0.93115234375}, {"start": 251.9, "end": 252.82, "word": " بدلالة", "probability": 0.984375}], "temperature": 1.0}, {"id": 14, "seek": 27325, "start": 253.85, "end": 273.25, "text": "كويس يبقى هذا الكلام بده يساوي x في sin inverse x زاد نص مع نص الله سهل عليها و ال w اللي هي واحد نقص x تربيه أقص نص يبقى تحت الجدر التربيهي زاد ميم زاد constant c", "tokens": [4117, 45865, 3794, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 2031, 8978, 3343, 17340, 2031, 30767, 18513, 8717, 9381, 20449, 8717, 9381, 21984, 8608, 3224, 1211, 25894, 11296, 4032, 2423, 261, 13672, 1829, 39896, 36764, 24401, 8717, 4587, 9381, 2031, 6055, 2288, 21292, 3224, 5551, 4587, 9381, 8717, 9381, 7251, 3555, 4587, 7578, 6055, 33753, 25724, 3215, 2288, 16712, 2288, 21292, 3224, 1829, 30767, 18513, 3714, 32640, 30767, 18513, 5754, 269], "avg_logprob": -0.23516613395908212, "compression_ratio": 1.5739644970414202, "no_speech_prob": 0.0, "words": [{"start": 253.85, "end": 254.63, "word": "كويس", "probability": 0.6906331380208334}, {"start": 254.63, "end": 255.23, "word": " يبقى", "probability": 0.9266357421875}, {"start": 255.23, "end": 255.55, "word": " هذا", "probability": 0.70947265625}, {"start": 255.55, "end": 256.03, "word": " الكلام", "probability": 0.90185546875}, {"start": 256.03, "end": 256.57, "word": " بده", "probability": 0.4156494140625}, {"start": 256.57, "end": 256.95, "word": " يساوي", "probability": 0.91259765625}, {"start": 256.95, "end": 257.45, "word": " x", "probability": 0.49462890625}, {"start": 257.45, "end": 257.67, "word": " في", "probability": 0.53515625}, {"start": 257.67, "end": 258.19, "word": " sin", "probability": 0.4912109375}, {"start": 258.19, "end": 259.09, "word": " inverse", "probability": 0.853515625}, {"start": 259.09, "end": 259.67, "word": " x", "probability": 0.9326171875}, {"start": 259.67, "end": 260.69, "word": " زاد", "probability": 0.4974365234375}, {"start": 260.69, "end": 261.11, "word": " نص", "probability": 0.9775390625}, {"start": 261.11, "end": 261.33, "word": " مع", "probability": 0.955078125}, {"start": 261.33, "end": 261.67, "word": " نص", "probability": 0.994140625}, {"start": 261.67, "end": 261.91, "word": " الله", "probability": 0.6337890625}, {"start": 261.91, "end": 262.35, "word": " سهل", "probability": 0.9716796875}, {"start": 262.35, "end": 262.91, "word": " عليها", "probability": 0.98876953125}, {"start": 262.91, "end": 263.49, "word": " و", "probability": 0.7822265625}, {"start": 263.49, "end": 263.63, "word": " ال", "probability": 0.6025390625}, {"start": 263.63, "end": 263.97, "word": " w", "probability": 0.54150390625}, {"start": 263.97, "end": 264.15, "word": " اللي", "probability": 0.83447265625}, {"start": 264.15, "end": 264.33, "word": " هي", "probability": 0.75}, {"start": 264.33, "end": 264.81, "word": " واحد", "probability": 0.935302734375}, {"start": 264.81, "end": 265.37, "word": " نقص", "probability": 0.8357747395833334}, {"start": 265.37, "end": 265.63, "word": " x", "probability": 0.8603515625}, {"start": 265.63, "end": 266.17, "word": " تربيه", "probability": 0.7340087890625}, {"start": 266.17, "end": 266.53, "word": " أقص", "probability": 0.6958821614583334}, {"start": 266.53, "end": 267.01, "word": " نص", "probability": 0.990966796875}, {"start": 267.01, "end": 267.49, "word": " يبقى", "probability": 0.9677734375}, {"start": 267.49, "end": 267.87, "word": " تحت", "probability": 0.992919921875}, {"start": 267.87, "end": 268.37, "word": " الجدر", "probability": 0.8826497395833334}, {"start": 268.37, "end": 269.31, "word": " التربيهي", "probability": 0.9123046875}, {"start": 269.31, "end": 270.21, "word": " زاد", "probability": 0.923095703125}, {"start": 270.21, "end": 270.67, "word": " ميم", "probability": 0.5025634765625}, {"start": 270.67, "end": 271.89, "word": " زاد", "probability": 0.972900390625}, {"start": 271.89, "end": 272.55, "word": " constant", "probability": 0.7861328125}, {"start": 272.55, "end": 273.25, "word": " c", "probability": 0.4970703125}], "temperature": 1.0}, {"id": 15, "seek": 29280, "start": 275.26, "end": 292.8, "text": "سؤال السابع سؤال السابع بيقول تكامل X تربيه جوش اتنين X يبقى integration ل X square جوش اتنين X في DX", "tokens": [3794, 33604, 6027, 21136, 16758, 3615, 8608, 33604, 6027, 21136, 16758, 3615, 4724, 1829, 39648, 6055, 4117, 10943, 1211, 1783, 6055, 2288, 21292, 3224, 10874, 2407, 8592, 1975, 2655, 1863, 9957, 1783, 7251, 3555, 4587, 7578, 10980, 5296, 1783, 3732, 10874, 2407, 8592, 1975, 2655, 1863, 9957, 1783, 8978, 48817], "avg_logprob": -0.27941176119972677, "compression_ratio": 1.4454545454545455, "no_speech_prob": 0.0, "words": [{"start": 275.26, "end": 275.76, "word": "سؤال", "probability": 0.8502604166666666}, {"start": 275.76, "end": 276.4, "word": " السابع", "probability": 0.9641927083333334}, {"start": 276.4, "end": 277.96, "word": " سؤال", "probability": 0.6592610677083334}, {"start": 277.96, "end": 278.48, "word": " السابع", "probability": 0.98974609375}, {"start": 278.48, "end": 278.84, "word": " بيقول", "probability": 0.6378580729166666}, {"start": 278.84, "end": 279.78, "word": " تكامل", "probability": 0.9202880859375}, {"start": 279.78, "end": 280.2, "word": " X", "probability": 0.433837890625}, {"start": 280.2, "end": 280.86, "word": " تربيه", "probability": 0.7218017578125}, {"start": 280.86, "end": 281.78, "word": " جوش", "probability": 0.6932779947916666}, {"start": 281.78, "end": 283.78, "word": " اتنين", "probability": 0.60540771484375}, {"start": 283.78, "end": 284.18, "word": " X", "probability": 0.9375}, {"start": 284.18, "end": 285.9, "word": " يبقى", "probability": 0.9554443359375}, {"start": 285.9, "end": 287.0, "word": " integration", "probability": 0.96142578125}, {"start": 287.0, "end": 287.92, "word": " ل", "probability": 0.86083984375}, {"start": 287.92, "end": 288.38, "word": " X", "probability": 0.85791015625}, {"start": 288.38, "end": 289.3, "word": " square", "probability": 0.340576171875}, {"start": 289.3, "end": 290.5, "word": " جوش", "probability": 0.9733072916666666}, {"start": 290.5, "end": 291.48, "word": " اتنين", "probability": 0.9700927734375}, {"start": 291.48, "end": 292.06, "word": " X", "probability": 0.98681640625}, {"start": 292.06, "end": 292.46, "word": " في", "probability": 0.8720703125}, {"start": 292.46, "end": 292.8, "word": " DX", "probability": 0.5419921875}], "temperature": 1.0}, {"id": 16, "seek": 32219, "start": 296.15, "end": 322.19, "text": "يبقى مين بدنا نختار U ومين بدنا نختار DV ال U لو أخدناها جوش يبقى نشتاقها و الله نكاملها بتفريقش جوش سنش جوش سنش و موضل في هذه الدائرة المغلقة لكن ال X يبقى لو بدي أخدها تكامل يبقى بتنتهيش X أربعة X تكايم X أربعة ماعكوا نفسهم ماتفريقش عننا لكن لو جيت فضلته بعد مرتين", "tokens": [1829, 3555, 4587, 7578, 3714, 9957, 47525, 8315, 8717, 46456, 9640, 624, 4032, 2304, 9957, 47525, 8315, 8717, 46456, 9640, 17021, 2423, 624, 45164, 5551, 9778, 3215, 8315, 11296, 10874, 2407, 8592, 7251, 3555, 4587, 7578, 8717, 8592, 2655, 995, 4587, 11296, 4032, 21984, 8717, 4117, 10943, 1211, 11296, 39894, 5172, 16572, 4587, 8592, 10874, 2407, 8592, 8608, 1863, 8592, 10874, 2407, 8592, 8608, 1863, 8592, 4032, 3714, 2407, 11242, 1211, 8978, 29538, 32748, 16373, 25720, 9673, 17082, 1211, 28671, 44381, 2423, 1783, 7251, 3555, 4587, 7578, 45164, 4724, 16254, 5551, 9778, 3215, 11296, 6055, 4117, 10943, 1211, 7251, 3555, 4587, 7578, 39894, 29399, 3224, 1829, 8592, 1783, 5551, 25513, 27884, 1783, 6055, 4117, 995, 32640, 1783, 5551, 25513, 27884, 19446, 3615, 4117, 14407, 8717, 36178, 16095, 3714, 9307, 5172, 16572, 4587, 8592, 18871, 8315, 44381, 45164, 10874, 36081, 6156, 11242, 1211, 47395, 39182, 3714, 43500, 9957], "avg_logprob": -0.30658783965014125, "compression_ratio": 2.0042735042735043, "no_speech_prob": 0.0, "words": [{"start": 296.15, "end": 296.63, "word": "يبقى", "probability": 0.77911376953125}, {"start": 296.63, "end": 296.81, "word": " مين", "probability": 0.770751953125}, {"start": 296.81, "end": 297.01, "word": " بدنا", "probability": 0.537353515625}, {"start": 297.01, "end": 297.51, "word": " نختار", "probability": 0.9747721354166666}, {"start": 297.51, "end": 297.67, "word": " U", "probability": 0.56787109375}, {"start": 297.67, "end": 297.99, "word": " ومين", "probability": 0.7574869791666666}, {"start": 297.99, "end": 298.27, "word": " بدنا", "probability": 0.804931640625}, {"start": 298.27, "end": 298.79, "word": " نختار", "probability": 0.9967447916666666}, {"start": 298.79, "end": 299.45, "word": " DV", "probability": 0.60302734375}, {"start": 299.45, "end": 300.81, "word": " ال", "probability": 0.47412109375}, {"start": 300.81, "end": 300.93, "word": " U", "probability": 0.73681640625}, {"start": 300.93, "end": 301.17, "word": " لو", "probability": 0.97607421875}, {"start": 301.17, "end": 302.01, "word": " أخدناها", "probability": 0.93046875}, {"start": 302.01, "end": 302.45, "word": " جوش", "probability": 0.7213541666666666}, {"start": 302.45, "end": 302.71, "word": " يبقى", "probability": 0.9400634765625}, {"start": 302.71, "end": 303.45, "word": " نشتاقها", "probability": 0.8211669921875}, {"start": 303.45, "end": 303.61, "word": " و", "probability": 0.39794921875}, {"start": 303.61, "end": 303.75, "word": " الله", "probability": 0.79443359375}, {"start": 303.75, "end": 304.23, "word": " نكاملها", "probability": 0.7212890625}, {"start": 304.23, "end": 304.83, "word": " بتفريقش", "probability": 0.73759765625}, {"start": 304.83, "end": 305.21, "word": " جوش", "probability": 0.9339192708333334}, {"start": 305.21, "end": 305.61, "word": " سنش", "probability": 0.6471354166666666}, {"start": 305.61, "end": 305.95, "word": " جوش", "probability": 0.9391276041666666}, {"start": 305.95, "end": 306.33, "word": " سنش", "probability": 0.9534505208333334}, {"start": 306.33, "end": 306.43, "word": " و", "probability": 0.93212890625}, {"start": 306.43, "end": 306.73, "word": " موضل", "probability": 0.55743408203125}, {"start": 306.73, "end": 306.89, "word": " في", "probability": 0.90673828125}, {"start": 306.89, "end": 307.11, "word": " هذه", "probability": 0.318359375}, {"start": 307.11, "end": 307.55, "word": " الدائرة", "probability": 0.9124348958333334}, {"start": 307.55, "end": 309.13, "word": " المغلقة", "probability": 0.9647216796875}, {"start": 309.13, "end": 309.95, "word": " لكن", "probability": 0.8828125}, {"start": 309.95, "end": 310.17, "word": " ال", "probability": 0.8154296875}, {"start": 310.17, "end": 310.31, "word": " X", "probability": 0.96923828125}, {"start": 310.31, "end": 310.61, "word": " يبقى", "probability": 0.719268798828125}, {"start": 310.61, "end": 310.75, "word": " لو", "probability": 0.9228515625}, {"start": 310.75, "end": 310.99, "word": " بدي", "probability": 0.49365234375}, {"start": 310.99, "end": 311.35, "word": " أخدها", "probability": 0.9385986328125}, {"start": 311.35, "end": 312.33, "word": " تكامل", "probability": 0.9920654296875}, {"start": 312.33, "end": 313.65, "word": " يبقى", "probability": 0.9774169921875}, {"start": 313.65, "end": 314.65, "word": " بتنتهيش", "probability": 0.82216796875}, {"start": 314.65, "end": 315.01, "word": " X", "probability": 0.1298828125}, {"start": 315.01, "end": 315.55, "word": " أربعة", "probability": 0.5003662109375}, {"start": 315.55, "end": 315.87, "word": " X", "probability": 0.77197265625}, {"start": 315.87, "end": 316.29, "word": " تكايم", "probability": 0.79144287109375}, {"start": 316.29, "end": 316.69, "word": " X", "probability": 0.9677734375}, {"start": 316.69, "end": 317.23, "word": " أربعة", "probability": 0.88720703125}, {"start": 317.23, "end": 317.75, "word": " ماعكوا", "probability": 0.5633544921875}, {"start": 317.75, "end": 318.01, "word": " نفسهم", "probability": 0.5078938802083334}, {"start": 318.01, "end": 318.51, "word": " ماتفريقش", "probability": 0.694091796875}, {"start": 318.51, "end": 318.91, "word": " عننا", "probability": 0.430419921875}, {"start": 318.91, "end": 319.71, "word": " لكن", "probability": 0.83984375}, {"start": 319.71, "end": 319.99, "word": " لو", "probability": 0.9794921875}, {"start": 319.99, "end": 320.35, "word": " جيت", "probability": 0.980712890625}, {"start": 320.35, "end": 321.13, "word": " فضلته", "probability": 0.72955322265625}, {"start": 321.13, "end": 321.49, "word": " بعد", "probability": 0.96435546875}, {"start": 321.49, "end": 322.19, "word": " مرتين", "probability": 0.9700520833333334}], "temperature": 1.0}, {"id": 17, "seek": 32996, "start": 322.48, "end": 329.96, "text": "تنتهي مثلا اذا automatic بدي اخد ال U هي X تربيعه والباقي هو مين اللي هو DV", "tokens": [2655, 29399, 3224, 1829, 50113, 15040, 1975, 15730, 12509, 4724, 16254, 1975, 9778, 3215, 2423, 624, 39896, 1783, 6055, 2288, 21292, 3615, 3224, 16070, 3555, 995, 38436, 31439, 3714, 9957, 13672, 1829, 31439, 17021], "avg_logprob": -0.4950892584664481, "compression_ratio": 1.1634615384615385, "no_speech_prob": 0.0, "words": [{"start": 322.48, "end": 323.18, "word": "تنتهي", "probability": 0.699005126953125}, {"start": 323.18, "end": 323.62, "word": " مثلا", "probability": 0.582275390625}, {"start": 323.62, "end": 323.94, "word": " اذا", "probability": 0.693115234375}, {"start": 323.94, "end": 324.54, "word": " automatic", "probability": 0.296142578125}, {"start": 324.54, "end": 325.32, "word": " بدي", "probability": 0.47149658203125}, {"start": 325.32, "end": 325.7, "word": " اخد", "probability": 0.8268229166666666}, {"start": 325.7, "end": 325.88, "word": " ال", "probability": 0.94384765625}, {"start": 325.88, "end": 326.12, "word": " U", "probability": 0.583984375}, {"start": 326.12, "end": 326.44, "word": " هي", "probability": 0.6220703125}, {"start": 326.44, "end": 326.78, "word": " X", "probability": 0.8876953125}, {"start": 326.78, "end": 327.28, "word": " تربيعه", "probability": 0.688134765625}, {"start": 327.28, "end": 327.64, "word": " والباقي", "probability": 0.658203125}, {"start": 327.64, "end": 327.88, "word": " هو", "probability": 0.75830078125}, {"start": 327.88, "end": 328.34, "word": " مين", "probability": 0.73095703125}, {"start": 328.34, "end": 328.92, "word": " اللي", "probability": 0.76171875}, {"start": 328.92, "end": 329.3, "word": " هو", "probability": 0.943359375}, {"start": 329.3, "end": 329.96, "word": " DV", "probability": 0.84912109375}], "temperature": 1.0}, {"id": 18, "seek": 35518, "start": 333.62, "end": 355.18, "text": "تساوي X تربيع و بتاخد ال DV اللي هي جوش 2X في DX بالشكل اللي عندنا نشتاق DU يبقى ب2X في DX وال V اللي هو من نص في سنش 2X", "tokens": [2655, 3794, 995, 45865, 1783, 6055, 2288, 21292, 3615, 4032, 39894, 47283, 3215, 2423, 17021, 13672, 1829, 39896, 10874, 2407, 8592, 568, 55, 8978, 48817, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 8717, 8592, 2655, 995, 4587, 28423, 7251, 3555, 4587, 7578, 4724, 17, 55, 8978, 48817, 16070, 691, 13672, 1829, 31439, 9154, 8717, 9381, 8978, 8608, 1863, 8592, 568, 55], "avg_logprob": -0.28528225518042044, "compression_ratio": 1.503875968992248, "no_speech_prob": 0.0, "words": [{"start": 333.62, "end": 334.28, "word": "تساوي", "probability": 0.7606201171875}, {"start": 334.28, "end": 334.6, "word": " X", "probability": 0.52685546875}, {"start": 334.6, "end": 335.28, "word": " تربيع", "probability": 0.7803955078125}, {"start": 335.28, "end": 335.72, "word": " و", "probability": 0.60302734375}, {"start": 335.72, "end": 336.38, "word": " بتاخد", "probability": 0.6638590494791666}, {"start": 336.38, "end": 336.56, "word": " ال", "probability": 0.7724609375}, {"start": 336.56, "end": 337.06, "word": " DV", "probability": 0.192138671875}, {"start": 337.06, "end": 337.34, "word": " اللي", "probability": 0.628662109375}, {"start": 337.34, "end": 337.56, "word": " هي", "probability": 0.68359375}, {"start": 337.56, "end": 338.14, "word": " جوش", "probability": 0.7568359375}, {"start": 338.14, "end": 339.56, "word": " 2X", "probability": 0.760986328125}, {"start": 339.56, "end": 339.82, "word": " في", "probability": 0.53369140625}, {"start": 339.82, "end": 340.72, "word": " DX", "probability": 0.98486328125}, {"start": 340.72, "end": 341.6, "word": " بالشكل", "probability": 0.7372639973958334}, {"start": 341.6, "end": 341.76, "word": " اللي", "probability": 0.96142578125}, {"start": 341.76, "end": 342.04, "word": " عندنا", "probability": 0.8720703125}, {"start": 342.04, "end": 343.8, "word": " نشتاق", "probability": 0.790869140625}, {"start": 343.8, "end": 344.5, "word": " DU", "probability": 0.74951171875}, {"start": 344.5, "end": 345.68, "word": " يبقى", "probability": 0.9691162109375}, {"start": 345.68, "end": 347.16, "word": " ب2X", "probability": 0.7713216145833334}, {"start": 347.16, "end": 347.4, "word": " في", "probability": 0.9248046875}, {"start": 347.4, "end": 348.14, "word": " DX", "probability": 0.99560546875}, {"start": 348.14, "end": 349.2, "word": " وال", "probability": 0.49755859375}, {"start": 349.2, "end": 349.76, "word": " V", "probability": 0.8115234375}, {"start": 349.76, "end": 350.46, "word": " اللي", "probability": 0.9150390625}, {"start": 350.46, "end": 350.64, "word": " هو", "probability": 0.9501953125}, {"start": 350.64, "end": 351.06, "word": " من", "probability": 0.9541015625}, {"start": 351.06, "end": 352.02, "word": " نص", "probability": 0.983642578125}, {"start": 352.02, "end": 352.56, "word": " في", "probability": 0.7890625}, {"start": 352.56, "end": 353.54, "word": " سنش", "probability": 0.89208984375}, {"start": 353.54, "end": 355.18, "word": " 2X", "probability": 0.926513671875}], "temperature": 1.0}, {"id": 19, "seek": 37351, "start": 356.99, "end": 373.51, "text": "يبقى تكامل جوش اتنين اكس هو سنش اتنين اكس على اتنين يعني نص سنش اتنين اكس هذه ال U وهذه ال V يبقى النتيجة بدها تساوي U في V اللي هو نص", "tokens": [1829, 3555, 4587, 7578, 6055, 4117, 10943, 1211, 10874, 2407, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 31439, 8608, 1863, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 15844, 1975, 2655, 1863, 9957, 37495, 22653, 8717, 9381, 8608, 1863, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 29538, 2423, 624, 37037, 24192, 2423, 691, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 47525, 11296, 6055, 3794, 995, 45865, 624, 8978, 691, 13672, 1829, 31439, 8717, 9381], "avg_logprob": -0.17958734604792717, "compression_ratio": 1.8346456692913387, "no_speech_prob": 0.0, "words": [{"start": 356.99, "end": 357.39, "word": "يبقى", "probability": 0.69622802734375}, {"start": 357.39, "end": 357.99, "word": " تكامل", "probability": 0.8714599609375}, {"start": 357.99, "end": 358.31, "word": " جوش", "probability": 0.7325846354166666}, {"start": 358.31, "end": 358.65, "word": " اتنين", "probability": 0.77301025390625}, {"start": 358.65, "end": 358.91, "word": " اكس", "probability": 0.8055013020833334}, {"start": 358.91, "end": 359.09, "word": " هو", "probability": 0.798828125}, {"start": 359.09, "end": 359.49, "word": " سنش", "probability": 0.8505859375}, {"start": 359.49, "end": 359.95, "word": " اتنين", "probability": 0.98193359375}, {"start": 359.95, "end": 360.27, "word": " اكس", "probability": 0.9630533854166666}, {"start": 360.27, "end": 360.49, "word": " على", "probability": 0.74658203125}, {"start": 360.49, "end": 361.05, "word": " اتنين", "probability": 0.982666015625}, {"start": 361.05, "end": 361.83, "word": " يعني", "probability": 0.901123046875}, {"start": 361.83, "end": 362.31, "word": " نص", "probability": 0.980224609375}, {"start": 362.31, "end": 362.81, "word": " سنش", "probability": 0.9781901041666666}, {"start": 362.81, "end": 363.65, "word": " اتنين", "probability": 0.99072265625}, {"start": 363.65, "end": 364.21, "word": " اكس", "probability": 0.98193359375}, {"start": 364.21, "end": 365.03, "word": " هذه", "probability": 0.315673828125}, {"start": 365.03, "end": 365.27, "word": " ال", "probability": 0.79541015625}, {"start": 365.27, "end": 365.59, "word": " U", "probability": 0.71875}, {"start": 365.59, "end": 366.77, "word": " وهذه", "probability": 0.74169921875}, {"start": 366.77, "end": 367.01, "word": " ال", "probability": 0.89697265625}, {"start": 367.01, "end": 367.31, "word": " V", "probability": 0.97998046875}, {"start": 367.31, "end": 368.43, "word": " يبقى", "probability": 0.9451904296875}, {"start": 368.43, "end": 369.07, "word": " النتيجة", "probability": 0.94482421875}, {"start": 369.07, "end": 369.55, "word": " بدها", "probability": 0.917236328125}, {"start": 369.55, "end": 370.25, "word": " تساوي", "probability": 0.81072998046875}, {"start": 370.25, "end": 370.99, "word": " U", "probability": 0.9208984375}, {"start": 370.99, "end": 371.37, "word": " في", "probability": 0.931640625}, {"start": 371.37, "end": 371.87, "word": " V", "probability": 0.9892578125}, {"start": 371.87, "end": 372.71, "word": " اللي", "probability": 0.896728515625}, {"start": 372.71, "end": 372.89, "word": " هو", "probability": 0.64111328125}, {"start": 372.89, "end": 373.51, "word": " نص", "probability": 0.895263671875}], "temperature": 1.0}, {"id": 20, "seek": 40158, "start": 375.08, "end": 401.58, "text": "x² sinh 2x نقص تكامل v لبنص sinh 2x دالي 2x في dx إذا أصبحت المثل على الشكل التالي integration ل x² cos 2x dx بده يساوي", "tokens": [87, 27643, 3343, 71, 568, 87, 8717, 4587, 9381, 6055, 4117, 10943, 1211, 371, 5296, 3555, 1863, 9381, 3343, 71, 568, 87, 11778, 6027, 1829, 568, 87, 8978, 30017, 11933, 15730, 5551, 9381, 3555, 33753, 9673, 12984, 1211, 15844, 25124, 28820, 16712, 6027, 1829, 10980, 5296, 2031, 27643, 3792, 568, 87, 30017, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.2844279529684681, "compression_ratio": 1.232394366197183, "no_speech_prob": 0.0, "words": [{"start": 375.08, "end": 376.1, "word": "x²", "probability": 0.12322998046875}, {"start": 376.1, "end": 377.74, "word": " sinh", "probability": 0.413818359375}, {"start": 377.74, "end": 379.58, "word": " 2x", "probability": 0.89404296875}, {"start": 379.58, "end": 380.6, "word": " نقص", "probability": 0.611572265625}, {"start": 380.6, "end": 381.48, "word": " تكامل", "probability": 0.9801025390625}, {"start": 381.48, "end": 382.12, "word": " v", "probability": 0.429443359375}, {"start": 382.12, "end": 383.5, "word": " لبنص", "probability": 0.892578125}, {"start": 383.5, "end": 384.84, "word": " sinh", "probability": 0.959716796875}, {"start": 384.84, "end": 386.62, "word": " 2x", "probability": 0.958740234375}, {"start": 386.62, "end": 387.8, "word": " دالي", "probability": 0.7849934895833334}, {"start": 387.8, "end": 389.56, "word": " 2x", "probability": 0.7470703125}, {"start": 389.56, "end": 389.86, "word": " في", "probability": 0.417724609375}, {"start": 389.86, "end": 390.36, "word": " dx", "probability": 0.9453125}, {"start": 390.36, "end": 391.4, "word": " إذا", "probability": 0.6278076171875}, {"start": 391.4, "end": 392.12, "word": " أصبحت", "probability": 0.937255859375}, {"start": 392.12, "end": 392.68, "word": " المثل", "probability": 0.82080078125}, {"start": 392.68, "end": 392.96, "word": " على", "probability": 0.9462890625}, {"start": 392.96, "end": 393.54, "word": " الشكل", "probability": 0.9736328125}, {"start": 393.54, "end": 394.26, "word": " التالي", "probability": 0.9803059895833334}, {"start": 394.26, "end": 395.56, "word": " integration", "probability": 0.87890625}, {"start": 395.56, "end": 396.42, "word": " ل", "probability": 0.791015625}, {"start": 396.42, "end": 397.62, "word": " x²", "probability": 0.5252685546875}, {"start": 397.62, "end": 398.52, "word": " cos", "probability": 0.309814453125}, {"start": 398.52, "end": 399.72, "word": " 2x", "probability": 0.705322265625}, {"start": 399.72, "end": 400.42, "word": " dx", "probability": 0.9169921875}, {"start": 400.42, "end": 400.94, "word": " بده", "probability": 0.6043701171875}, {"start": 400.94, "end": 401.58, "word": " يساوي", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 21, "seek": 42035, "start": 403.31, "end": 420.35, "text": "النتيجة اللى حصلنا عليها نص x² sinh 2x ناقص طلعلنا نص مع اتنين الله يسهل عليها يبقى آلة المسألة الى تكمل ل x", "tokens": [6027, 29399, 1829, 7435, 3660, 13672, 7578, 11331, 36520, 8315, 25894, 11296, 8717, 9381, 2031, 27643, 3343, 71, 568, 87, 8717, 995, 4587, 9381, 23032, 1211, 30241, 8315, 8717, 9381, 20449, 1975, 2655, 1863, 9957, 21984, 7251, 3794, 3224, 1211, 25894, 11296, 7251, 3555, 4587, 7578, 19753, 37977, 9673, 3794, 10721, 37977, 2423, 7578, 6055, 24793, 1211, 5296, 2031], "avg_logprob": -0.25039062052965166, "compression_ratio": 1.4198473282442747, "no_speech_prob": 0.0, "words": [{"start": 403.31, "end": 403.93, "word": "النتيجة", "probability": 0.753076171875}, {"start": 403.93, "end": 404.07, "word": " اللى", "probability": 0.6881103515625}, {"start": 404.07, "end": 404.69, "word": " حصلنا", "probability": 0.9549153645833334}, {"start": 404.69, "end": 405.09, "word": " عليها", "probability": 0.9892578125}, {"start": 405.09, "end": 405.67, "word": " نص", "probability": 0.859130859375}, {"start": 405.67, "end": 407.01, "word": " x²", "probability": 0.27667236328125}, {"start": 407.01, "end": 408.11, "word": " sinh", "probability": 0.537353515625}, {"start": 408.11, "end": 410.43, "word": " 2x", "probability": 0.77978515625}, {"start": 410.43, "end": 412.09, "word": " ناقص", "probability": 0.8131103515625}, {"start": 412.09, "end": 413.69, "word": " طلعلنا", "probability": 0.626953125}, {"start": 413.69, "end": 414.49, "word": " نص", "probability": 0.979736328125}, {"start": 414.49, "end": 414.75, "word": " مع", "probability": 0.96044921875}, {"start": 414.75, "end": 415.17, "word": " اتنين", "probability": 0.9478759765625}, {"start": 415.17, "end": 415.37, "word": " الله", "probability": 0.70361328125}, {"start": 415.37, "end": 415.85, "word": " يسهل", "probability": 0.95654296875}, {"start": 415.85, "end": 416.39, "word": " عليها", "probability": 0.990478515625}, {"start": 416.39, "end": 417.29, "word": " يبقى", "probability": 0.8515625}, {"start": 417.29, "end": 417.75, "word": " آلة", "probability": 0.767822265625}, {"start": 417.75, "end": 418.49, "word": " المسألة", "probability": 0.9710693359375}, {"start": 418.49, "end": 418.89, "word": " الى", "probability": 0.7059326171875}, {"start": 418.89, "end": 419.73, "word": " تكمل", "probability": 0.8907877604166666}, {"start": 419.73, "end": 419.91, "word": " ل", "probability": 0.7421875}, {"start": 419.91, "end": 420.35, "word": " x", "probability": 0.28759765625}], "temperature": 1.0}, {"id": 22, "seek": 44893, "start": 420.69, "end": 448.93, "text": "في سنش اتنين X DX إذا هذا التكامل يشبه الأصل مع الفارد بدل الجوش صارت سنش و بدل X صار بيها نزلت الدرجة اللي افتتحتها إلى الدرجة الأولى وهي X يبقى السنة اضطر إجباري إلى استخدام integration by parts كمان مرة إذا بروح أخد ال U تساوي من X", "tokens": [41185, 8608, 1863, 8592, 1975, 2655, 1863, 9957, 1783, 48817, 11933, 15730, 23758, 16712, 4117, 10943, 1211, 7251, 8592, 3555, 3224, 16247, 36520, 20449, 27188, 9640, 3215, 47525, 1211, 25724, 2407, 8592, 20328, 9640, 2655, 8608, 1863, 8592, 4032, 47525, 1211, 1783, 20328, 9640, 4724, 1829, 11296, 8717, 11622, 1211, 2655, 32748, 47341, 3660, 13672, 1829, 1975, 5172, 2655, 2655, 33753, 11296, 30731, 32748, 47341, 3660, 16247, 12610, 7578, 37037, 1829, 1783, 7251, 3555, 4587, 7578, 21136, 1863, 3660, 1975, 11242, 9566, 2288, 11933, 7435, 3555, 9640, 1829, 30731, 44713, 9778, 3215, 10943, 10980, 538, 3166, 9122, 2304, 7649, 3714, 25720, 11933, 15730, 4724, 32887, 5016, 5551, 9778, 3215, 2423, 624, 6055, 3794, 995, 45865, 9154, 1783], "avg_logprob": -0.22603283936189392, "compression_ratio": 1.6390041493775933, "no_speech_prob": 0.0, "words": [{"start": 420.69, "end": 420.97, "word": "في", "probability": 0.286865234375}, {"start": 420.97, "end": 421.73, "word": " سنش", "probability": 0.6865234375}, {"start": 421.73, "end": 422.69, "word": " اتنين", "probability": 0.8330078125}, {"start": 422.69, "end": 423.21, "word": " X", "probability": 0.46240234375}, {"start": 423.21, "end": 424.01, "word": " DX", "probability": 0.51513671875}, {"start": 424.01, "end": 425.29, "word": " إذا", "probability": 0.6011962890625}, {"start": 425.29, "end": 425.67, "word": " هذا", "probability": 0.81787109375}, {"start": 425.67, "end": 426.47, "word": " التكامل", "probability": 0.900146484375}, {"start": 426.47, "end": 427.17, "word": " يشبه", "probability": 0.993896484375}, {"start": 427.17, "end": 427.85, "word": " الأصل", "probability": 0.780029296875}, {"start": 427.85, "end": 428.21, "word": " مع", "probability": 0.98046875}, {"start": 428.21, "end": 428.91, "word": " الفارد", "probability": 0.7263997395833334}, {"start": 428.91, "end": 429.81, "word": " بدل", "probability": 0.9287109375}, {"start": 429.81, "end": 430.25, "word": " الجوش", "probability": 0.77001953125}, {"start": 430.25, "end": 430.71, "word": " صارت", "probability": 0.8670247395833334}, {"start": 430.71, "end": 431.13, "word": " سنش", "probability": 0.9197591145833334}, {"start": 431.13, "end": 431.55, "word": " و", "probability": 0.8330078125}, {"start": 431.55, "end": 431.89, "word": " بدل", "probability": 0.81298828125}, {"start": 431.89, "end": 432.09, "word": " X", "probability": 0.8740234375}, {"start": 432.09, "end": 432.33, "word": " صار", "probability": 0.596923828125}, {"start": 432.33, "end": 432.59, "word": " بيها", "probability": 0.96728515625}, {"start": 432.59, "end": 433.29, "word": " نزلت", "probability": 0.9818115234375}, {"start": 433.29, "end": 434.37, "word": " الدرجة", "probability": 0.709228515625}, {"start": 434.37, "end": 434.43, "word": " اللي", "probability": 0.6265869140625}, {"start": 434.43, "end": 434.97, "word": " افتتحتها", "probability": 0.6834309895833334}, {"start": 434.97, "end": 435.15, "word": " إلى", "probability": 0.5029296875}, {"start": 435.15, "end": 435.71, "word": " الدرجة", "probability": 0.9796549479166666}, {"start": 435.71, "end": 436.21, "word": " الأولى", "probability": 0.9807942708333334}, {"start": 436.21, "end": 436.67, "word": " وهي", "probability": 0.836669921875}, {"start": 436.67, "end": 437.01, "word": " X", "probability": 0.98828125}, {"start": 437.01, "end": 437.83, "word": " يبقى", "probability": 0.9652099609375}, {"start": 437.83, "end": 438.37, "word": " السنة", "probability": 0.8152669270833334}, {"start": 438.37, "end": 438.77, "word": " اضطر", "probability": 0.80224609375}, {"start": 438.77, "end": 439.73, "word": " إجباري", "probability": 0.91455078125}, {"start": 439.73, "end": 440.41, "word": " إلى", "probability": 0.61083984375}, {"start": 440.41, "end": 441.33, "word": " استخدام", "probability": 0.97509765625}, {"start": 441.33, "end": 442.11, "word": " integration", "probability": 0.89306640625}, {"start": 442.11, "end": 442.49, "word": " by", "probability": 0.8955078125}, {"start": 442.49, "end": 442.89, "word": " parts", "probability": 0.71875}, {"start": 442.89, "end": 443.35, "word": " كمان", "probability": 0.9609375}, {"start": 443.35, "end": 443.75, "word": " مرة", "probability": 0.990234375}, {"start": 443.75, "end": 444.59, "word": " إذا", "probability": 0.794677734375}, {"start": 444.59, "end": 445.05, "word": " بروح", "probability": 0.7386067708333334}, {"start": 445.05, "end": 445.73, "word": " أخد", "probability": 0.755859375}, {"start": 445.73, "end": 446.01, "word": " ال", "probability": 0.92138671875}, {"start": 446.01, "end": 446.45, "word": " U", "probability": 0.8798828125}, {"start": 446.45, "end": 447.89, "word": " تساوي", "probability": 0.8992919921875}, {"start": 447.89, "end": 448.39, "word": " من", "probability": 0.9921875}, {"start": 448.39, "end": 448.93, "word": " X", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 23, "seek": 46644, "start": 449.26, "end": 466.44, "text": "و ال dv بده ساوي sinh اتنين اكس في dx يبقى du يساوي dx و ال v اللي هو نص جوش اتنين اكس", "tokens": [2407, 2423, 274, 85, 47525, 3224, 8608, 995, 45865, 3343, 71, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 8978, 30017, 7251, 3555, 4587, 7578, 1581, 7251, 3794, 995, 45865, 30017, 4032, 2423, 371, 13672, 1829, 31439, 8717, 9381, 10874, 2407, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794], "avg_logprob": -0.2610012852415747, "compression_ratio": 1.37, "no_speech_prob": 0.0, "words": [{"start": 449.26, "end": 449.62, "word": "و", "probability": 0.88427734375}, {"start": 449.62, "end": 449.86, "word": " ال", "probability": 0.578125}, {"start": 449.86, "end": 450.94, "word": " dv", "probability": 0.52496337890625}, {"start": 450.94, "end": 451.96, "word": " بده", "probability": 0.5216064453125}, {"start": 451.96, "end": 452.46, "word": " ساوي", "probability": 0.8505859375}, {"start": 452.46, "end": 453.62, "word": " sinh", "probability": 0.511474609375}, {"start": 453.62, "end": 454.76, "word": " اتنين", "probability": 0.8223876953125}, {"start": 454.76, "end": 455.36, "word": " اكس", "probability": 0.758544921875}, {"start": 455.36, "end": 455.54, "word": " في", "probability": 0.81982421875}, {"start": 455.54, "end": 456.04, "word": " dx", "probability": 0.8583984375}, {"start": 456.04, "end": 457.2, "word": " يبقى", "probability": 0.9530029296875}, {"start": 457.2, "end": 458.14, "word": " du", "probability": 0.60302734375}, {"start": 458.14, "end": 459.58, "word": " يساوي", "probability": 0.9686279296875}, {"start": 459.58, "end": 460.88, "word": " dx", "probability": 0.890625}, {"start": 460.88, "end": 461.6, "word": " و", "probability": 0.52392578125}, {"start": 461.6, "end": 461.98, "word": " ال", "probability": 0.6533203125}, {"start": 461.98, "end": 462.36, "word": " v", "probability": 0.62109375}, {"start": 462.36, "end": 462.86, "word": " اللي", "probability": 0.913330078125}, {"start": 462.86, "end": 463.04, "word": " هو", "probability": 0.96142578125}, {"start": 463.04, "end": 463.52, "word": " نص", "probability": 0.989990234375}, {"start": 463.52, "end": 464.8, "word": " جوش", "probability": 0.767333984375}, {"start": 464.8, "end": 465.82, "word": " اتنين", "probability": 0.8724365234375}, {"start": 465.82, "end": 466.44, "word": " اكس", "probability": 0.9840494791666666}], "temperature": 1.0}, {"id": 24, "seek": 48595, "start": 468.75, "end": 485.95, "text": "إذا النتيجة صارت على الشكل التالي integration ل X² Gauge 2X DX يساوي النص X² Sin 2X ناقص", "tokens": [28814, 15730, 2423, 29399, 1829, 7435, 3660, 20328, 9640, 2655, 15844, 25124, 28820, 16712, 6027, 1829, 10980, 5296, 1783, 27643, 460, 16558, 568, 55, 48817, 7251, 3794, 995, 45865, 28239, 9381, 1783, 27643, 11187, 568, 55, 8717, 995, 4587, 9381], "avg_logprob": -0.31935976772773556, "compression_ratio": 1.11864406779661, "no_speech_prob": 0.0, "words": [{"start": 468.75, "end": 469.09, "word": "إذا", "probability": 0.5499267578125}, {"start": 469.09, "end": 469.75, "word": " النتيجة", "probability": 0.813134765625}, {"start": 469.75, "end": 470.19, "word": " صارت", "probability": 0.8795572916666666}, {"start": 470.19, "end": 470.41, "word": " على", "probability": 0.76806640625}, {"start": 470.41, "end": 470.95, "word": " الشكل", "probability": 0.978759765625}, {"start": 470.95, "end": 471.55, "word": " التالي", "probability": 0.9833984375}, {"start": 471.55, "end": 472.53, "word": " integration", "probability": 0.76611328125}, {"start": 472.53, "end": 473.09, "word": " ل", "probability": 0.6982421875}, {"start": 473.09, "end": 474.23, "word": " X²", "probability": 0.340087890625}, {"start": 474.23, "end": 475.63, "word": " Gauge", "probability": 0.2603759765625}, {"start": 475.63, "end": 477.57, "word": " 2X", "probability": 0.78271484375}, {"start": 477.57, "end": 478.15, "word": " DX", "probability": 0.5693359375}, {"start": 478.15, "end": 479.59, "word": " يساوي", "probability": 0.809326171875}, {"start": 479.59, "end": 480.15, "word": " النص", "probability": 0.814697265625}, {"start": 480.15, "end": 481.61, "word": " X²", "probability": 0.8876953125}, {"start": 481.61, "end": 482.53, "word": " Sin", "probability": 0.340576171875}, {"start": 482.53, "end": 484.85, "word": " 2X", "probability": 0.7064208984375}, {"start": 484.85, "end": 485.95, "word": " ناقص", "probability": 0.910888671875}], "temperature": 1.0}, {"id": 25, "seek": 50272, "start": 486.62, "end": 502.72, "text": "U في الـ V يبقى نقص X جوش اتنين X هذا الـ U في الـ V هذا النقص بالشكل اللي عندنا هذا اللي برا يبقى بالشكل اللي عندنا هذا", "tokens": [52, 8978, 2423, 39184, 691, 7251, 3555, 4587, 7578, 8717, 4587, 9381, 1783, 10874, 2407, 8592, 1975, 2655, 1863, 9957, 1783, 23758, 2423, 39184, 624, 8978, 2423, 39184, 691, 23758, 28239, 4587, 9381, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 13672, 1829, 4724, 23557, 7251, 3555, 4587, 7578, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.2579472100940244, "compression_ratio": 1.925233644859813, "no_speech_prob": 0.0, "words": [{"start": 486.62, "end": 487.36, "word": "U", "probability": 0.16650390625}, {"start": 487.36, "end": 487.84, "word": " في", "probability": 0.591796875}, {"start": 487.84, "end": 488.04, "word": " الـ", "probability": 0.67822265625}, {"start": 488.04, "end": 488.42, "word": " V", "probability": 0.603515625}, {"start": 488.42, "end": 489.44, "word": " يبقى", "probability": 0.9190673828125}, {"start": 489.44, "end": 490.26, "word": " نقص", "probability": 0.7583821614583334}, {"start": 490.26, "end": 492.2, "word": " X", "probability": 0.51171875}, {"start": 492.2, "end": 493.4, "word": " جوش", "probability": 0.6749267578125}, {"start": 493.4, "end": 494.42, "word": " اتنين", "probability": 0.87109375}, {"start": 494.42, "end": 495.02, "word": " X", "probability": 0.97021484375}, {"start": 495.02, "end": 495.86, "word": " هذا", "probability": 0.7041015625}, {"start": 495.86, "end": 496.06, "word": " الـ", "probability": 0.70849609375}, {"start": 496.06, "end": 496.26, "word": " U", "probability": 0.82421875}, {"start": 496.26, "end": 496.42, "word": " في", "probability": 0.98046875}, {"start": 496.42, "end": 496.64, "word": " الـ", "probability": 0.854248046875}, {"start": 496.64, "end": 496.86, "word": " V", "probability": 0.8525390625}, {"start": 496.86, "end": 497.86, "word": " هذا", "probability": 0.1658935546875}, {"start": 497.86, "end": 498.62, "word": " النقص", "probability": 0.92041015625}, {"start": 498.62, "end": 499.16, "word": " بالشكل", "probability": 0.85791015625}, {"start": 499.16, "end": 499.28, "word": " اللي", "probability": 0.892578125}, {"start": 499.28, "end": 499.62, "word": " عندنا", "probability": 0.809814453125}, {"start": 499.62, "end": 499.86, "word": " هذا", "probability": 0.8046875}, {"start": 499.86, "end": 500.1, "word": " اللي", "probability": 0.7734375}, {"start": 500.1, "end": 500.66, "word": " برا", "probability": 0.845458984375}, {"start": 500.66, "end": 501.68, "word": " يبقى", "probability": 0.9718017578125}, {"start": 501.68, "end": 502.12, "word": " بالشكل", "probability": 0.9835611979166666}, {"start": 502.12, "end": 502.26, "word": " اللي", "probability": 0.99267578125}, {"start": 502.26, "end": 502.58, "word": " عندنا", "probability": 0.958740234375}, {"start": 502.58, "end": 502.72, "word": " هذا", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 26, "seek": 51800, "start": 503.06, "end": 518.0, "text": "يبقى هذا U في V ناقص تكامل V دال U يبقى نص غوش 2X دال U اللي يبدي X بالشكل اللي عندنا هنا", "tokens": [1829, 3555, 4587, 7578, 23758, 624, 8978, 691, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211, 691, 11778, 6027, 624, 7251, 3555, 4587, 7578, 8717, 9381, 32771, 2407, 8592, 568, 55, 11778, 6027, 624, 13672, 1829, 7251, 3555, 16254, 1783, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 34105], "avg_logprob": -0.25685586734693877, "compression_ratio": 1.4368932038834952, "no_speech_prob": 0.0, "words": [{"start": 503.06, "end": 503.6, "word": "يبقى", "probability": 0.8751220703125}, {"start": 503.6, "end": 503.9, "word": " هذا", "probability": 0.501953125}, {"start": 503.9, "end": 504.28, "word": " U", "probability": 0.55615234375}, {"start": 504.28, "end": 504.54, "word": " في", "probability": 0.7421875}, {"start": 504.54, "end": 504.98, "word": " V", "probability": 0.9599609375}, {"start": 504.98, "end": 506.5, "word": " ناقص", "probability": 0.961669921875}, {"start": 506.5, "end": 507.74, "word": " تكامل", "probability": 0.97607421875}, {"start": 507.74, "end": 508.5, "word": " V", "probability": 0.83251953125}, {"start": 508.5, "end": 509.0, "word": " دال", "probability": 0.46826171875}, {"start": 509.0, "end": 509.3, "word": " U", "probability": 0.951171875}, {"start": 509.3, "end": 510.44, "word": " يبقى", "probability": 0.93017578125}, {"start": 510.44, "end": 510.92, "word": " نص", "probability": 0.91845703125}, {"start": 510.92, "end": 511.98, "word": " غوش", "probability": 0.5325520833333334}, {"start": 511.98, "end": 513.42, "word": " 2X", "probability": 0.72607421875}, {"start": 513.42, "end": 514.4, "word": " دال", "probability": 0.9599609375}, {"start": 514.4, "end": 514.84, "word": " U", "probability": 0.98876953125}, {"start": 514.84, "end": 515.42, "word": " اللي", "probability": 0.603515625}, {"start": 515.42, "end": 515.78, "word": " يبدي", "probability": 0.743408203125}, {"start": 515.78, "end": 516.4, "word": " X", "probability": 0.392578125}, {"start": 516.4, "end": 517.24, "word": " بالشكل", "probability": 0.9485677083333334}, {"start": 517.24, "end": 517.42, "word": " اللي", "probability": 0.981201171875}, {"start": 517.42, "end": 517.82, "word": " عندنا", "probability": 0.898193359375}, {"start": 517.82, "end": 518.0, "word": " هنا", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 27, "seek": 54597, "start": 519.83, "end": 545.97, "text": "إذا صرت النتيجة هي نص x² sinh 2x ناقص نص x gosh 2x ناقص فناقص بزايد النص هيبرة وتكامل ال gosh بsinh 2x مقسوم على 2 زائد constant C", "tokens": [28814, 15730, 20328, 43500, 28239, 31371, 7435, 3660, 39896, 8717, 9381, 2031, 27643, 3343, 71, 568, 87, 8717, 995, 4587, 9381, 8717, 9381, 2031, 352, 2716, 568, 87, 8717, 995, 4587, 9381, 6156, 1863, 995, 4587, 9381, 4724, 11622, 995, 25708, 28239, 9381, 39896, 3555, 25720, 34683, 4117, 10943, 1211, 2423, 6502, 4724, 19767, 71, 568, 87, 3714, 4587, 3794, 20498, 15844, 568, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.3020833350610042, "compression_ratio": 1.3943661971830985, "no_speech_prob": 0.0, "words": [{"start": 519.83, "end": 520.15, "word": "إذا", "probability": 0.69775390625}, {"start": 520.15, "end": 520.65, "word": " صرت", "probability": 0.84375}, {"start": 520.65, "end": 521.39, "word": " النتيجة", "probability": 0.97900390625}, {"start": 521.39, "end": 521.69, "word": " هي", "probability": 0.57666015625}, {"start": 521.69, "end": 522.17, "word": " نص", "probability": 0.89306640625}, {"start": 522.17, "end": 523.89, "word": " x²", "probability": 0.3316650390625}, {"start": 523.89, "end": 524.89, "word": " sinh", "probability": 0.4124755859375}, {"start": 524.89, "end": 526.07, "word": " 2x", "probability": 0.820068359375}, {"start": 526.07, "end": 527.47, "word": " ناقص", "probability": 0.77532958984375}, {"start": 527.47, "end": 528.05, "word": " نص", "probability": 0.99169921875}, {"start": 528.05, "end": 529.01, "word": " x", "probability": 0.91259765625}, {"start": 529.01, "end": 530.09, "word": " gosh", "probability": 0.4543609619140625}, {"start": 530.09, "end": 531.35, "word": " 2x", "probability": 0.923583984375}, {"start": 531.35, "end": 532.23, "word": " ناقص", "probability": 0.922607421875}, {"start": 532.23, "end": 532.87, "word": " فناقص", "probability": 0.8240234375}, {"start": 532.87, "end": 533.71, "word": " بزايد", "probability": 0.7818603515625}, {"start": 533.71, "end": 535.11, "word": " النص", "probability": 0.852783203125}, {"start": 535.11, "end": 536.27, "word": " هيبرة", "probability": 0.653564453125}, {"start": 536.27, "end": 537.65, "word": " وتكامل", "probability": 0.77978515625}, {"start": 537.65, "end": 537.85, "word": " ال", "probability": 0.54833984375}, {"start": 537.85, "end": 538.21, "word": " gosh", "probability": 0.75146484375}, {"start": 538.21, "end": 539.43, "word": " بsinh", "probability": 0.7893880208333334}, {"start": 539.43, "end": 541.13, "word": " 2x", "probability": 0.971923828125}, {"start": 541.13, "end": 542.23, "word": " مقسوم", "probability": 0.824462890625}, {"start": 542.23, "end": 542.67, "word": " على", "probability": 0.50634765625}, {"start": 542.67, "end": 543.29, "word": " 2", "probability": 0.6015625}, {"start": 543.29, "end": 544.57, "word": " زائد", "probability": 0.7932942708333334}, {"start": 544.57, "end": 545.29, "word": " constant", "probability": 0.62353515625}, {"start": 545.29, "end": 545.97, "word": " C", "probability": 0.552734375}], "temperature": 1.0}, {"id": 28, "seek": 56963, "start": 548.93, "end": 569.63, "text": "يبقى هذه كأنه قداش ربع سنش اتنان اكس يعني اضطرنا في هذه المسألة نعمل ايه integration by parts مرتين في نفس المسألة وقد يكون تلاتة وقد يكون اربع سيان المهم بنضل نشتغل لما نكمل", "tokens": [1829, 3555, 4587, 7578, 29538, 9122, 33456, 3224, 12174, 3215, 33599, 12602, 3555, 3615, 8608, 1863, 8592, 1975, 2655, 1863, 7649, 1975, 4117, 3794, 37495, 22653, 1975, 11242, 9566, 2288, 8315, 8978, 29538, 9673, 3794, 10721, 37977, 8717, 25957, 1211, 1975, 1829, 3224, 10980, 538, 3166, 3714, 43500, 9957, 8978, 8717, 36178, 9673, 3794, 10721, 37977, 4032, 28543, 7251, 30544, 6055, 1211, 9307, 3660, 4032, 28543, 7251, 30544, 1975, 25513, 3615, 8608, 1829, 7649, 9673, 16095, 44945, 11242, 1211, 8717, 8592, 2655, 17082, 1211, 5296, 15042, 8717, 24793, 1211], "avg_logprob": -0.20156249983443153, "compression_ratio": 1.6318681318681318, "no_speech_prob": 0.0, "words": [{"start": 548.93, "end": 549.39, "word": "يبقى", "probability": 0.78741455078125}, {"start": 549.39, "end": 549.61, "word": " هذه", "probability": 0.178466796875}, {"start": 549.61, "end": 549.99, "word": " كأنه", "probability": 0.8235677083333334}, {"start": 549.99, "end": 550.61, "word": " قداش", "probability": 0.84619140625}, {"start": 550.61, "end": 551.69, "word": " ربع", "probability": 0.7177734375}, {"start": 551.69, "end": 552.37, "word": " سنش", "probability": 0.8601888020833334}, {"start": 552.37, "end": 552.93, "word": " اتنان", "probability": 0.79071044921875}, {"start": 552.93, "end": 553.39, "word": " اكس", "probability": 0.7532552083333334}, {"start": 553.39, "end": 554.55, "word": " يعني", "probability": 0.6004638671875}, {"start": 554.55, "end": 555.41, "word": " اضطرنا", "probability": 0.926171875}, {"start": 555.41, "end": 555.59, "word": " في", "probability": 0.95751953125}, {"start": 555.59, "end": 556.03, "word": " هذه", "probability": 0.9736328125}, {"start": 556.03, "end": 556.93, "word": " المسألة", "probability": 0.9365234375}, {"start": 556.93, "end": 558.01, "word": " نعمل", "probability": 0.9793294270833334}, {"start": 558.01, "end": 558.45, "word": " ايه", "probability": 0.7162272135416666}, {"start": 558.45, "end": 559.03, "word": " integration", "probability": 0.83154296875}, {"start": 559.03, "end": 559.43, "word": " by", "probability": 0.90966796875}, {"start": 559.43, "end": 559.99, "word": " parts", "probability": 0.93115234375}, {"start": 559.99, "end": 561.43, "word": " مرتين", "probability": 0.9842122395833334}, {"start": 561.43, "end": 561.65, "word": " في", "probability": 0.958984375}, {"start": 561.65, "end": 561.97, "word": " نفس", "probability": 0.992431640625}, {"start": 561.97, "end": 562.65, "word": " المسألة", "probability": 0.907958984375}, {"start": 562.65, "end": 563.39, "word": " وقد", "probability": 0.848388671875}, {"start": 563.39, "end": 563.79, "word": " يكون", "probability": 0.98828125}, {"start": 563.79, "end": 564.33, "word": " تلاتة", "probability": 0.9442138671875}, {"start": 564.33, "end": 564.67, "word": " وقد", "probability": 0.90283203125}, {"start": 564.67, "end": 565.43, "word": " يكون", "probability": 0.99365234375}, {"start": 565.43, "end": 566.01, "word": " اربع", "probability": 0.6839192708333334}, {"start": 566.01, "end": 566.61, "word": " سيان", "probability": 0.7412109375}, {"start": 566.61, "end": 567.09, "word": " المهم", "probability": 0.93896484375}, {"start": 567.09, "end": 568.11, "word": " بنضل", "probability": 0.5517985026041666}, {"start": 568.11, "end": 568.59, "word": " نشتغل", "probability": 0.98994140625}, {"start": 568.59, "end": 568.89, "word": " لما", "probability": 0.927978515625}, {"start": 568.89, "end": 569.63, "word": " نكمل", "probability": 0.99267578125}], "temperature": 1.0}, {"id": 29, "seek": 59404, "start": 569.85, "end": 594.05, "text": "يعني بعد ما نعمل التكامل اول باي بارس اذا اضطريت استخدم نفس القلم كم مرة باستخدمه اذا بدي ارجع تكامل بالتعويض بدي استخدم تكامل بالتعويض يعني اي شغلة من الأشياء التي سبقت دراستها طيب اشاركوا بدنا نقترح الاقتراح التكامل كان مين؟ كان X²Goshen X", "tokens": [40228, 22653, 39182, 19446, 8717, 25957, 1211, 16712, 4117, 10943, 1211, 1975, 12610, 4724, 47302, 4724, 9640, 3794, 1975, 15730, 1975, 11242, 9566, 16572, 2655, 44713, 9778, 40448, 8717, 36178, 25062, 19528, 9122, 2304, 3714, 25720, 4724, 995, 14851, 9778, 40448, 3224, 1975, 15730, 4724, 16254, 1975, 47341, 3615, 6055, 4117, 10943, 1211, 20666, 2655, 3615, 45865, 11242, 4724, 16254, 44713, 9778, 40448, 6055, 4117, 10943, 1211, 20666, 2655, 3615, 45865, 11242, 37495, 22653, 1975, 1829, 13412, 17082, 37977, 9154, 16247, 8592, 1829, 16606, 38392, 8608, 3555, 38149, 11778, 23557, 14851, 11296, 23032, 1829, 3555, 1975, 8592, 9640, 4117, 14407, 47525, 8315, 8717, 38149, 2288, 5016, 42963, 38149, 23557, 5016, 16712, 4117, 10943, 1211, 25961, 3714, 9957, 22807, 25961, 1783, 27643, 38, 329, 2932, 1783], "avg_logprob": -0.242807532823275, "compression_ratio": 1.9155555555555555, "no_speech_prob": 0.0, "words": [{"start": 569.85, "end": 570.37, "word": "يعني", "probability": 0.713623046875}, {"start": 570.37, "end": 570.73, "word": " بعد", "probability": 0.8330078125}, {"start": 570.73, "end": 570.87, "word": " ما", "probability": 0.728515625}, {"start": 570.87, "end": 571.23, "word": " نعمل", "probability": 0.9371744791666666}, {"start": 571.23, "end": 571.81, "word": " التكامل", "probability": 0.8787841796875}, {"start": 571.81, "end": 572.15, "word": " اول", "probability": 0.7095947265625}, {"start": 572.15, "end": 572.49, "word": " باي", "probability": 0.27569580078125}, {"start": 572.49, "end": 572.99, "word": " بارس", "probability": 0.8312174479166666}, {"start": 572.99, "end": 573.67, "word": " اذا", "probability": 0.6961669921875}, {"start": 573.67, "end": 574.35, "word": " اضطريت", "probability": 0.8654296875}, {"start": 574.35, "end": 575.01, "word": " استخدم", "probability": 0.7738444010416666}, {"start": 575.01, "end": 575.45, "word": " نفس", "probability": 0.6265869140625}, {"start": 575.45, "end": 575.77, "word": " القلم", "probability": 0.718994140625}, {"start": 575.77, "end": 576.01, "word": " كم", "probability": 0.802978515625}, {"start": 576.01, "end": 576.23, "word": " مرة", "probability": 0.90625}, {"start": 576.23, "end": 577.15, "word": " باستخدمه", "probability": 0.8690185546875}, {"start": 577.15, "end": 577.95, "word": " اذا", "probability": 0.83837890625}, {"start": 577.95, "end": 578.23, "word": " بدي", "probability": 0.4544677734375}, {"start": 578.23, "end": 578.45, "word": " ارجع", "probability": 0.8997395833333334}, {"start": 578.45, "end": 578.95, "word": " تكامل", "probability": 0.8658447265625}, {"start": 578.95, "end": 579.73, "word": " بالتعويض", "probability": 0.953125}, {"start": 579.73, "end": 580.01, "word": " بدي", "probability": 0.827880859375}, {"start": 580.01, "end": 580.53, "word": " استخدم", "probability": 0.9519856770833334}, {"start": 580.53, "end": 581.11, "word": " تكامل", "probability": 0.9776611328125}, {"start": 581.11, "end": 581.71, "word": " بالتعويض", "probability": 0.97724609375}, {"start": 581.71, "end": 582.01, "word": " يعني", "probability": 0.908935546875}, {"start": 582.01, "end": 582.37, "word": " اي", "probability": 0.878662109375}, {"start": 582.37, "end": 582.85, "word": " شغلة", "probability": 0.92333984375}, {"start": 582.85, "end": 583.31, "word": " من", "probability": 0.80029296875}, {"start": 583.31, "end": 583.65, "word": " الأشياء", "probability": 0.85211181640625}, {"start": 583.65, "end": 583.97, "word": " التي", "probability": 0.572265625}, {"start": 583.97, "end": 584.53, "word": " سبقت", "probability": 0.7972005208333334}, {"start": 584.53, "end": 585.31, "word": " دراستها", "probability": 0.9593505859375}, {"start": 585.31, "end": 586.01, "word": " طيب", "probability": 0.9200846354166666}, {"start": 586.01, "end": 587.15, "word": " اشاركوا", "probability": 0.72646484375}, {"start": 587.15, "end": 587.39, "word": " بدنا", "probability": 0.474853515625}, {"start": 587.39, "end": 587.83, "word": " نقترح", "probability": 0.947509765625}, {"start": 587.83, "end": 588.61, "word": " الاقتراح", "probability": 0.83221435546875}, {"start": 588.61, "end": 590.33, "word": " التكامل", "probability": 0.98095703125}, {"start": 590.33, "end": 590.63, "word": " كان", "probability": 0.98876953125}, {"start": 590.63, "end": 591.21, "word": " مين؟", "probability": 0.6910807291666666}, {"start": 591.21, "end": 591.43, "word": " كان", "probability": 0.875}, {"start": 591.43, "end": 593.45, "word": " X²Goshen", "probability": 0.4673828125}, {"start": 593.45, "end": 594.05, "word": " X", "probability": 0.492431640625}], "temperature": 1.0}, {"id": 30, "seek": 62429, "start": 595.15, "end": 624.29, "text": "أخدناها U وفضلناها وصار عندي X بدل X تربية فضلناها كمان مرة وانتهينا منها ال gosh كملناها مرتين مرة سنش وكمان مرة طلعت gosh وكمان مرة رجعت لسنش تمام طب ايش رأيكوا هنا نعمل هالشغل ونشوف ايش رأيكوا فيها بدي اجي اقول اللي خدتها derivatives بدي اكتبها بالشكل التالي derivatives", "tokens": [10721, 9778, 3215, 8315, 11296, 624, 4032, 5172, 11242, 1211, 8315, 11296, 4032, 9381, 9640, 18871, 16254, 1783, 47525, 1211, 1783, 6055, 25513, 10632, 6156, 11242, 1211, 8315, 11296, 9122, 2304, 7649, 3714, 25720, 4032, 7649, 47395, 1829, 8315, 9154, 11296, 2423, 6502, 9122, 42213, 8315, 11296, 3714, 43500, 9957, 3714, 25720, 8608, 1863, 8592, 4032, 24793, 7649, 3714, 25720, 23032, 1211, 34268, 6502, 4032, 24793, 7649, 3714, 25720, 12602, 7435, 34268, 5296, 3794, 1863, 8592, 46811, 10943, 23032, 3555, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 14407, 34105, 8717, 25957, 1211, 8032, 6027, 8592, 17082, 1211, 4032, 1863, 8592, 38688, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 14407, 8978, 11296, 4724, 16254, 1975, 7435, 1829, 1975, 39648, 13672, 1829, 16490, 3215, 2655, 11296, 33733, 4724, 16254, 1975, 4117, 2655, 3555, 11296, 20666, 8592, 28820, 16712, 6027, 1829, 33733], "avg_logprob": -0.2041294691818101, "compression_ratio": 1.9914163090128756, "no_speech_prob": 0.0, "words": [{"start": 595.15, "end": 595.95, "word": "أخدناها", "probability": 0.6110595703125}, {"start": 595.95, "end": 596.31, "word": " U", "probability": 0.63818359375}, {"start": 596.31, "end": 597.61, "word": " وفضلناها", "probability": 0.8615315755208334}, {"start": 597.61, "end": 598.21, "word": " وصار", "probability": 0.8102213541666666}, {"start": 598.21, "end": 598.65, "word": " عندي", "probability": 0.6517333984375}, {"start": 598.65, "end": 598.93, "word": " X", "probability": 0.875}, {"start": 598.93, "end": 599.35, "word": " بدل", "probability": 0.95751953125}, {"start": 599.35, "end": 599.73, "word": " X", "probability": 0.9169921875}, {"start": 599.73, "end": 600.27, "word": " تربية", "probability": 0.5390218098958334}, {"start": 600.27, "end": 601.57, "word": " فضلناها", "probability": 0.97041015625}, {"start": 601.57, "end": 601.93, "word": " كمان", "probability": 0.9109700520833334}, {"start": 601.93, "end": 602.33, "word": " مرة", "probability": 0.991943359375}, {"start": 602.33, "end": 603.05, "word": " وانتهينا", "probability": 0.98291015625}, {"start": 603.05, "end": 603.51, "word": " منها", "probability": 0.988037109375}, {"start": 603.51, "end": 604.51, "word": " ال", "probability": 0.6513671875}, {"start": 604.51, "end": 604.79, "word": " gosh", "probability": 0.11260986328125}, {"start": 604.79, "end": 605.77, "word": " كملناها", "probability": 0.9324951171875}, {"start": 605.77, "end": 606.75, "word": " مرتين", "probability": 0.9892578125}, {"start": 606.75, "end": 607.43, "word": " مرة", "probability": 0.968505859375}, {"start": 607.43, "end": 607.99, "word": " سنش", "probability": 0.6415201822916666}, {"start": 607.99, "end": 608.81, "word": " وكمان", "probability": 0.6812337239583334}, {"start": 608.81, "end": 609.11, "word": " مرة", "probability": 0.975341796875}, {"start": 609.11, "end": 609.55, "word": " طلعت", "probability": 0.9248046875}, {"start": 609.55, "end": 609.93, "word": " gosh", "probability": 0.61474609375}, {"start": 609.93, "end": 610.83, "word": " وكمان", "probability": 0.9500325520833334}, {"start": 610.83, "end": 611.11, "word": " مرة", "probability": 0.96875}, {"start": 611.11, "end": 611.51, "word": " رجعت", "probability": 0.9420572916666666}, {"start": 611.51, "end": 612.21, "word": " لسنش", "probability": 0.908935546875}, {"start": 612.21, "end": 612.91, "word": " تمام", "probability": 0.7294921875}, {"start": 612.91, "end": 613.63, "word": " طب", "probability": 0.6552734375}, {"start": 613.63, "end": 613.87, "word": " ايش", "probability": 0.6341959635416666}, {"start": 613.87, "end": 614.35, "word": " رأيكوا", "probability": 0.93427734375}, {"start": 614.35, "end": 614.71, "word": " هنا", "probability": 0.98095703125}, {"start": 614.71, "end": 616.25, "word": " نعمل", "probability": 0.8722330729166666}, {"start": 616.25, "end": 616.73, "word": " هالشغل", "probability": 0.8224609375}, {"start": 616.73, "end": 617.13, "word": " ونشوف", "probability": 0.84375}, {"start": 617.13, "end": 617.35, "word": " ايش", "probability": 0.8932291666666666}, {"start": 617.35, "end": 617.81, "word": " رأيكوا", "probability": 0.9798828125}, {"start": 617.81, "end": 618.33, "word": " فيها", "probability": 0.968994140625}, {"start": 618.33, "end": 619.21, "word": " بدي", "probability": 0.705322265625}, {"start": 619.21, "end": 619.51, "word": " اجي", "probability": 0.6060384114583334}, {"start": 619.51, "end": 619.89, "word": " اقول", "probability": 0.85986328125}, {"start": 619.89, "end": 620.11, "word": " اللي", "probability": 0.964111328125}, {"start": 620.11, "end": 620.71, "word": " خدتها", "probability": 0.8585205078125}, {"start": 620.71, "end": 621.39, "word": " derivatives", "probability": 0.90673828125}, {"start": 621.39, "end": 621.91, "word": " بدي", "probability": 0.91845703125}, {"start": 621.91, "end": 622.49, "word": " اكتبها", "probability": 0.948828125}, {"start": 622.49, "end": 623.19, "word": " بالشكل", "probability": 0.96630859375}, {"start": 623.19, "end": 623.69, "word": " التالي", "probability": 0.9837239583333334}, {"start": 623.69, "end": 624.29, "word": " derivatives", "probability": 0.8837890625}], "temperature": 1.0}, {"id": 31, "seek": 64395, "start": 626.55, "end": 643.95, "text": "واللي كاملتها بدي اكتب عليها integrals اللي فاضلتها هي X تربيع واللي كاملتها هي جوش اتنين X اللي بدأت فيهم تمام؟ بدي ابدأ فاضل هذه لغاية ماوصل لصفرة", "tokens": [2407, 6027, 20292, 9122, 10943, 1211, 2655, 11296, 4724, 16254, 1975, 4117, 2655, 3555, 25894, 11296, 3572, 1124, 13672, 1829, 6156, 46958, 1211, 2655, 11296, 39896, 1783, 6055, 2288, 21292, 3615, 16070, 20292, 9122, 10943, 1211, 2655, 11296, 39896, 10874, 2407, 8592, 1975, 2655, 1863, 9957, 1783, 13672, 1829, 47525, 10721, 2655, 8978, 16095, 46811, 10943, 22807, 4724, 16254, 1975, 44510, 10721, 6156, 46958, 1211, 29538, 5296, 17082, 995, 10632, 19446, 2407, 36520, 5296, 9381, 5172, 25720], "avg_logprob": -0.24218750019104052, "compression_ratio": 1.643312101910828, "no_speech_prob": 0.0, "words": [{"start": 626.55, "end": 627.09, "word": "واللي", "probability": 0.54345703125}, {"start": 627.09, "end": 628.11, "word": " كاملتها", "probability": 0.8609375}, {"start": 628.11, "end": 628.49, "word": " بدي", "probability": 0.6400146484375}, {"start": 628.49, "end": 628.97, "word": " اكتب", "probability": 0.93359375}, {"start": 628.97, "end": 629.37, "word": " عليها", "probability": 0.9853515625}, {"start": 629.37, "end": 630.33, "word": " integrals", "probability": 0.884521484375}, {"start": 630.33, "end": 631.53, "word": " اللي", "probability": 0.83056640625}, {"start": 631.53, "end": 632.39, "word": " فاضلتها", "probability": 0.907421875}, {"start": 632.39, "end": 632.67, "word": " هي", "probability": 0.78564453125}, {"start": 632.67, "end": 633.05, "word": " X", "probability": 0.458740234375}, {"start": 633.05, "end": 633.69, "word": " تربيع", "probability": 0.810302734375}, {"start": 633.69, "end": 634.49, "word": " واللي", "probability": 0.7099609375}, {"start": 634.49, "end": 635.43, "word": " كاملتها", "probability": 0.99384765625}, {"start": 635.43, "end": 635.73, "word": " هي", "probability": 0.853515625}, {"start": 635.73, "end": 636.19, "word": " جوش", "probability": 0.8135579427083334}, {"start": 636.19, "end": 636.81, "word": " اتنين", "probability": 0.881591796875}, {"start": 636.81, "end": 637.33, "word": " X", "probability": 0.96240234375}, {"start": 637.33, "end": 637.69, "word": " اللي", "probability": 0.9462890625}, {"start": 637.69, "end": 638.09, "word": " بدأت", "probability": 0.8125}, {"start": 638.09, "end": 638.57, "word": " فيهم", "probability": 0.854736328125}, {"start": 638.57, "end": 640.21, "word": " تمام؟", "probability": 0.55718994140625}, {"start": 640.21, "end": 640.71, "word": " بدي", "probability": 0.94091796875}, {"start": 640.71, "end": 641.17, "word": " ابدأ", "probability": 0.7976888020833334}, {"start": 641.17, "end": 641.65, "word": " فاضل", "probability": 0.7454427083333334}, {"start": 641.65, "end": 641.89, "word": " هذه", "probability": 0.767578125}, {"start": 641.89, "end": 642.29, "word": " لغاية", "probability": 0.977783203125}, {"start": 642.29, "end": 642.81, "word": " ماوصل", "probability": 0.741455078125}, {"start": 642.81, "end": 643.95, "word": " لصفرة", "probability": 0.6966552734375}], "temperature": 1.0}, {"id": 32, "seek": 66591, "start": 644.57, "end": 665.91, "text": "يبقى لو جيت فاضلة هذه بقداش 2x لو كملت هذه بسنش 2x على 2 بدا فاضل هذه كمان مرة باتنين بدا كامل هذه كمان مرة بجوش 2x على 2 وعندي اتنين بصير اربع", "tokens": [1829, 3555, 4587, 7578, 45164, 10874, 36081, 6156, 46958, 37977, 29538, 4724, 28543, 33599, 568, 87, 45164, 9122, 42213, 2655, 29538, 4724, 3794, 1863, 8592, 568, 87, 15844, 568, 4724, 28259, 6156, 46958, 1211, 29538, 9122, 2304, 7649, 3714, 25720, 4724, 9307, 1863, 9957, 4724, 28259, 9122, 10943, 1211, 29538, 9122, 2304, 7649, 3714, 25720, 4724, 7435, 2407, 8592, 568, 87, 15844, 568, 4032, 3615, 1863, 16254, 1975, 2655, 1863, 9957, 4724, 9381, 13546, 1975, 25513, 3615], "avg_logprob": -0.23517628892874107, "compression_ratio": 1.8636363636363635, "no_speech_prob": 0.0, "words": [{"start": 644.57, "end": 645.09, "word": "يبقى", "probability": 0.7763671875}, {"start": 645.09, "end": 645.29, "word": " لو", "probability": 0.80615234375}, {"start": 645.29, "end": 645.59, "word": " جيت", "probability": 0.888427734375}, {"start": 645.59, "end": 646.17, "word": " فاضلة", "probability": 0.76611328125}, {"start": 646.17, "end": 646.55, "word": " هذه", "probability": 0.30322265625}, {"start": 646.55, "end": 647.31, "word": " بقداش", "probability": 0.4915364583333333}, {"start": 647.31, "end": 648.41, "word": " 2x", "probability": 0.5693359375}, {"start": 648.41, "end": 649.15, "word": " لو", "probability": 0.78271484375}, {"start": 649.15, "end": 649.99, "word": " كملت", "probability": 0.9405924479166666}, {"start": 649.99, "end": 650.37, "word": " هذه", "probability": 0.94482421875}, {"start": 650.37, "end": 651.21, "word": " بسنش", "probability": 0.9248046875}, {"start": 651.21, "end": 652.61, "word": " 2x", "probability": 0.952880859375}, {"start": 652.61, "end": 653.21, "word": " على", "probability": 0.56005859375}, {"start": 653.21, "end": 653.73, "word": " 2", "probability": 0.94775390625}, {"start": 653.73, "end": 654.73, "word": " بدا", "probability": 0.4296875}, {"start": 654.73, "end": 655.21, "word": " فاضل", "probability": 0.8387044270833334}, {"start": 655.21, "end": 655.45, "word": " هذه", "probability": 0.658203125}, {"start": 655.45, "end": 656.13, "word": " كمان", "probability": 0.9811197916666666}, {"start": 656.13, "end": 656.69, "word": " مرة", "probability": 0.9873046875}, {"start": 656.69, "end": 657.37, "word": " باتنين", "probability": 0.7913818359375}, {"start": 657.37, "end": 658.41, "word": " بدا", "probability": 0.794921875}, {"start": 658.41, "end": 658.91, "word": " كامل", "probability": 0.9884440104166666}, {"start": 658.91, "end": 659.29, "word": " هذه", "probability": 0.95068359375}, {"start": 659.29, "end": 660.01, "word": " كمان", "probability": 0.9915364583333334}, {"start": 660.01, "end": 660.59, "word": " مرة", "probability": 0.991943359375}, {"start": 660.59, "end": 661.25, "word": " بجوش", "probability": 0.9638671875}, {"start": 661.25, "end": 662.45, "word": " 2x", "probability": 0.980712890625}, {"start": 662.45, "end": 663.11, "word": " على", "probability": 0.841796875}, {"start": 663.11, "end": 663.61, "word": " 2", "probability": 0.9599609375}, {"start": 663.61, "end": 664.13, "word": " وعندي", "probability": 0.6871337890625}, {"start": 664.13, "end": 664.73, "word": " اتنين", "probability": 0.82891845703125}, {"start": 664.73, "end": 665.41, "word": " بصير", "probability": 0.7608235677083334}, {"start": 665.41, "end": 665.91, "word": " اربع", "probability": 0.78369140625}], "temperature": 1.0}, {"id": 33, "seek": 68803, "start": 666.29, "end": 688.03, "text": "لو فضلت هذه كمان مرة بيصير zero لو كملت هذه كمان مرة بيصير سنش اتنين اكس على تمانية تمام؟ بعدك امسكلي سهم من الأولى للتانية و من التانية للتالتة و من التالتة هنا للرابعة هنا الشكل هذا", "tokens": [1211, 2407, 6156, 11242, 1211, 2655, 29538, 9122, 2304, 7649, 3714, 25720, 4724, 1829, 9381, 13546, 4018, 45164, 9122, 42213, 2655, 29538, 9122, 2304, 7649, 3714, 25720, 4724, 1829, 9381, 13546, 8608, 1863, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 15844, 46811, 7649, 10632, 46811, 10943, 22807, 39182, 4117, 1975, 2304, 3794, 4117, 20292, 8608, 16095, 9154, 16247, 12610, 7578, 24976, 2655, 7649, 10632, 4032, 9154, 16712, 7649, 10632, 24976, 2655, 6027, 2655, 3660, 4032, 9154, 16712, 6027, 2655, 3660, 34105, 24976, 2288, 16758, 27884, 34105, 25124, 28820, 23758], "avg_logprob": -0.1743647046796568, "compression_ratio": 1.9878048780487805, "no_speech_prob": 0.0, "words": [{"start": 666.29, "end": 666.73, "word": "لو", "probability": 0.7139892578125}, {"start": 666.73, "end": 667.41, "word": " فضلت", "probability": 0.8870849609375}, {"start": 667.41, "end": 667.65, "word": " هذه", "probability": 0.8330078125}, {"start": 667.65, "end": 668.17, "word": " كمان", "probability": 0.85693359375}, {"start": 668.17, "end": 668.51, "word": " مرة", "probability": 0.97021484375}, {"start": 668.51, "end": 669.09, "word": " بيصير", "probability": 0.8648681640625}, {"start": 669.09, "end": 669.61, "word": " zero", "probability": 0.299072265625}, {"start": 669.61, "end": 670.31, "word": " لو", "probability": 0.74853515625}, {"start": 670.31, "end": 671.05, "word": " كملت", "probability": 0.8909505208333334}, {"start": 671.05, "end": 671.33, "word": " هذه", "probability": 0.94189453125}, {"start": 671.33, "end": 671.87, "word": " كمان", "probability": 0.9837239583333334}, {"start": 671.87, "end": 672.21, "word": " مرة", "probability": 0.985107421875}, {"start": 672.21, "end": 672.77, "word": " بيصير", "probability": 0.9686279296875}, {"start": 672.77, "end": 673.37, "word": " سنش", "probability": 0.6581217447916666}, {"start": 673.37, "end": 673.91, "word": " اتنين", "probability": 0.9046630859375}, {"start": 673.91, "end": 674.37, "word": " اكس", "probability": 0.8017578125}, {"start": 674.37, "end": 675.11, "word": " على", "probability": 0.76123046875}, {"start": 675.11, "end": 675.87, "word": " تمانية", "probability": 0.91943359375}, {"start": 675.87, "end": 677.41, "word": " تمام؟", "probability": 0.7841796875}, {"start": 677.41, "end": 678.09, "word": " بعدك", "probability": 0.587158203125}, {"start": 678.09, "end": 679.63, "word": " امسكلي", "probability": 0.9107421875}, {"start": 679.63, "end": 680.17, "word": " سهم", "probability": 0.9609375}, {"start": 680.17, "end": 680.49, "word": " من", "probability": 0.9912109375}, {"start": 680.49, "end": 681.23, "word": " الأولى", "probability": 0.8802083333333334}, {"start": 681.23, "end": 682.13, "word": " للتانية", "probability": 0.89306640625}, {"start": 682.13, "end": 682.79, "word": " و", "probability": 0.8349609375}, {"start": 682.79, "end": 682.97, "word": " من", "probability": 0.485107421875}, {"start": 682.97, "end": 683.63, "word": " التانية", "probability": 0.9361979166666666}, {"start": 683.63, "end": 684.63, "word": " للتالتة", "probability": 0.9083984375}, {"start": 684.63, "end": 684.79, "word": " و", "probability": 0.9482421875}, {"start": 684.79, "end": 684.93, "word": " من", "probability": 0.9541015625}, {"start": 684.93, "end": 685.51, "word": " التالتة", "probability": 0.957763671875}, {"start": 685.51, "end": 685.75, "word": " هنا", "probability": 0.9248046875}, {"start": 685.75, "end": 686.43, "word": " للرابعة", "probability": 0.7508544921875}, {"start": 686.43, "end": 686.71, "word": " هنا", "probability": 0.85546875}, {"start": 686.71, "end": 687.77, "word": " الشكل", "probability": 0.73291015625}, {"start": 687.77, "end": 688.03, "word": " هذا", "probability": 0.91455078125}], "temperature": 1.0}, {"id": 34, "seek": 71816, "start": 688.9, "end": 718.16, "text": "ونبدأ نضع قاعدة الإشارات قاعدة الإشارات بتقول بتبدأ بالموجب سالب موجب سالب موجب لما تكمل يبقى السبت أول واحدة على اليمين وسبت ال zero اللي هو اين على الشمال تحتنا طب تعال نضرب هدول في بعض ونجمع ونشوف إيش بيعطينا لو جيت لهنا نص X تربية سنش اتنين X هذا", "tokens": [2407, 1863, 44510, 10721, 8717, 11242, 3615, 12174, 995, 22488, 3660, 33688, 8592, 9640, 9307, 12174, 995, 22488, 3660, 33688, 8592, 9640, 9307, 39894, 39648, 39894, 44510, 10721, 20666, 2304, 29245, 3555, 8608, 6027, 3555, 3714, 29245, 3555, 8608, 6027, 3555, 3714, 29245, 3555, 5296, 15042, 6055, 24793, 1211, 7251, 3555, 4587, 7578, 2423, 35457, 2655, 5551, 12610, 36764, 24401, 3660, 15844, 2423, 32640, 9957, 4032, 35457, 2655, 2423, 4018, 13672, 1829, 31439, 1975, 9957, 15844, 25124, 2304, 6027, 6055, 33753, 8315, 23032, 3555, 37279, 6027, 8717, 11242, 25513, 8032, 3215, 12610, 8978, 45030, 11242, 4032, 1863, 7435, 2304, 3615, 4032, 1863, 8592, 38688, 11933, 1829, 8592, 4724, 40228, 9566, 1829, 8315, 45164, 10874, 36081, 46740, 8315, 8717, 9381, 1783, 6055, 2288, 21292, 3660, 8608, 1863, 8592, 1975, 2655, 1863, 9957, 1783, 23758], "avg_logprob": -0.21256996524422916, "compression_ratio": 1.943231441048035, "no_speech_prob": 0.0, "words": [{"start": 688.9, "end": 689.66, "word": "ونبدأ", "probability": 0.57855224609375}, {"start": 689.66, "end": 690.12, "word": " نضع", "probability": 0.6472981770833334}, {"start": 690.12, "end": 690.78, "word": " قاعدة", "probability": 0.976318359375}, {"start": 690.78, "end": 691.5, "word": " الإشارات", "probability": 0.9620361328125}, {"start": 691.5, "end": 691.92, "word": " قاعدة", "probability": 0.8565673828125}, {"start": 691.92, "end": 692.24, "word": " الإشارات", "probability": 0.9908447265625}, {"start": 692.24, "end": 692.56, "word": " بتقول", "probability": 0.551513671875}, {"start": 692.56, "end": 693.24, "word": " بتبدأ", "probability": 0.72412109375}, {"start": 693.24, "end": 693.9, "word": " بالموجب", "probability": 0.9169921875}, {"start": 693.9, "end": 695.2, "word": " سالب", "probability": 0.7521158854166666}, {"start": 695.2, "end": 695.94, "word": " موجب", "probability": 0.8902994791666666}, {"start": 695.94, "end": 696.5, "word": " سالب", "probability": 0.9558919270833334}, {"start": 696.5, "end": 696.94, "word": " موجب", "probability": 0.9845377604166666}, {"start": 696.94, "end": 697.18, "word": " لما", "probability": 0.718994140625}, {"start": 697.18, "end": 697.74, "word": " تكمل", "probability": 0.916015625}, {"start": 697.74, "end": 698.8, "word": " يبقى", "probability": 0.9705810546875}, {"start": 698.8, "end": 699.26, "word": " السبت", "probability": 0.5713704427083334}, {"start": 699.26, "end": 699.72, "word": " أول", "probability": 0.812255859375}, {"start": 699.72, "end": 700.34, "word": " واحدة", "probability": 0.8997395833333334}, {"start": 700.34, "end": 700.54, "word": " على", "probability": 0.7890625}, {"start": 700.54, "end": 701.3, "word": " اليمين", "probability": 0.8929036458333334}, {"start": 701.3, "end": 702.3, "word": " وسبت", "probability": 0.8504231770833334}, {"start": 702.3, "end": 702.48, "word": " ال", "probability": 0.74072265625}, {"start": 702.48, "end": 702.7, "word": " zero", "probability": 0.465087890625}, {"start": 702.7, "end": 702.88, "word": " اللي", "probability": 0.836669921875}, {"start": 702.88, "end": 703.06, "word": " هو", "probability": 0.896484375}, {"start": 703.06, "end": 703.42, "word": " اين", "probability": 0.5938720703125}, {"start": 703.42, "end": 703.84, "word": " على", "probability": 0.5703125}, {"start": 703.84, "end": 704.5, "word": " الشمال", "probability": 0.7753092447916666}, {"start": 704.5, "end": 705.3, "word": " تحتنا", "probability": 0.9879557291666666}, {"start": 705.3, "end": 706.1, "word": " طب", "probability": 0.8759765625}, {"start": 706.1, "end": 706.52, "word": " تعال", "probability": 0.971435546875}, {"start": 706.52, "end": 707.0, "word": " نضرب", "probability": 0.845703125}, {"start": 707.0, "end": 707.42, "word": " هدول", "probability": 0.8839518229166666}, {"start": 707.42, "end": 707.66, "word": " في", "probability": 0.86669921875}, {"start": 707.66, "end": 708.06, "word": " بعض", "probability": 0.995849609375}, {"start": 708.06, "end": 708.98, "word": " ونجمع", "probability": 0.88779296875}, {"start": 708.98, "end": 709.66, "word": " ونشوف", "probability": 0.970703125}, {"start": 709.66, "end": 709.94, "word": " إيش", "probability": 0.7998046875}, {"start": 709.94, "end": 710.8, "word": " بيعطينا", "probability": 0.8490234375}, {"start": 710.8, "end": 711.56, "word": " لو", "probability": 0.91796875}, {"start": 711.56, "end": 711.9, "word": " جيت", "probability": 0.943359375}, {"start": 711.9, "end": 712.5, "word": " لهنا", "probability": 0.61358642578125}, {"start": 712.5, "end": 713.6, "word": " نص", "probability": 0.977783203125}, {"start": 713.6, "end": 714.14, "word": " X", "probability": 0.454833984375}, {"start": 714.14, "end": 715.08, "word": " تربية", "probability": 0.76318359375}, {"start": 715.08, "end": 715.58, "word": " سنش", "probability": 0.8606770833333334}, {"start": 715.58, "end": 716.18, "word": " اتنين", "probability": 0.920654296875}, {"start": 716.18, "end": 716.64, "word": " X", "probability": 0.95458984375}, {"start": 716.64, "end": 718.16, "word": " هذا", "probability": 0.8876953125}], "temperature": 1.0}, {"id": 35, "seek": 74765, "start": 720.53, "end": 747.65, "text": "تمام؟ طيب نضرب هدول في بعض اتنين في ربع بيعطيني نص وعندي إشارة سالب يبقى سالب نص اكس قوش اتنين اكس سالب نص اكس قوش اتنين اكس اللي بعدها اتنين في ثومان بيعطيني الرابع سنش اتنين اكس يبقى الرابع سنش اتنين اكس وبضيف لك نص تاني", "tokens": [2655, 15042, 2304, 22807, 23032, 1829, 3555, 8717, 11242, 25513, 8032, 3215, 12610, 8978, 45030, 11242, 1975, 2655, 1863, 9957, 8978, 12602, 3555, 3615, 4724, 40228, 9566, 1829, 22653, 8717, 9381, 4032, 3615, 1863, 16254, 11933, 8592, 9640, 3660, 8608, 6027, 3555, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 8717, 9381, 1975, 4117, 3794, 12174, 2407, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 8608, 6027, 3555, 8717, 9381, 1975, 4117, 3794, 12174, 2407, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 13672, 1829, 39182, 11296, 1975, 2655, 1863, 9957, 8978, 38637, 20498, 7649, 4724, 40228, 9566, 1829, 22653, 34892, 16758, 3615, 8608, 1863, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 7251, 3555, 4587, 7578, 34892, 16758, 3615, 8608, 1863, 8592, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 46599, 11242, 33911, 5296, 4117, 8717, 9381, 6055, 7649, 1829], "avg_logprob": -0.18370535224676132, "compression_ratio": 2.375, "no_speech_prob": 0.0, "words": [{"start": 720.53, "end": 721.53, "word": "تمام؟", "probability": 0.52471923828125}, {"start": 721.53, "end": 722.07, "word": " طيب", "probability": 0.8352864583333334}, {"start": 722.07, "end": 722.69, "word": " نضرب", "probability": 0.884765625}, {"start": 722.69, "end": 723.05, "word": " هدول", "probability": 0.7120768229166666}, {"start": 723.05, "end": 723.25, "word": " في", "probability": 0.6669921875}, {"start": 723.25, "end": 723.59, "word": " بعض", "probability": 0.990478515625}, {"start": 723.59, "end": 724.85, "word": " اتنين", "probability": 0.79901123046875}, {"start": 724.85, "end": 725.05, "word": " في", "probability": 0.833984375}, {"start": 725.05, "end": 725.41, "word": " ربع", "probability": 0.79052734375}, {"start": 725.41, "end": 726.09, "word": " بيعطيني", "probability": 0.78515625}, {"start": 726.09, "end": 726.61, "word": " نص", "probability": 0.9853515625}, {"start": 726.61, "end": 727.19, "word": " وعندي", "probability": 0.77752685546875}, {"start": 727.19, "end": 727.67, "word": " إشارة", "probability": 0.787506103515625}, {"start": 727.67, "end": 728.17, "word": " سالب", "probability": 0.94921875}, {"start": 728.17, "end": 728.97, "word": " يبقى", "probability": 0.9317626953125}, {"start": 728.97, "end": 729.79, "word": " سالب", "probability": 0.9163411458333334}, {"start": 729.79, "end": 730.59, "word": " نص", "probability": 0.990966796875}, {"start": 730.59, "end": 731.39, "word": " اكس", "probability": 0.7369791666666666}, {"start": 731.39, "end": 731.83, "word": " قوش", "probability": 0.728515625}, {"start": 731.83, "end": 732.31, "word": " اتنين", "probability": 0.980224609375}, {"start": 732.31, "end": 732.77, "word": " اكس", "probability": 0.98046875}, {"start": 732.77, "end": 733.93, "word": " سالب", "probability": 0.8541666666666666}, {"start": 733.93, "end": 734.41, "word": " نص", "probability": 0.99560546875}, {"start": 734.41, "end": 735.01, "word": " اكس", "probability": 0.9889322916666666}, {"start": 735.01, "end": 735.45, "word": " قوش", "probability": 0.9944661458333334}, {"start": 735.45, "end": 736.03, "word": " اتنين", "probability": 0.9898681640625}, {"start": 736.03, "end": 736.59, "word": " اكس", "probability": 0.9889322916666666}, {"start": 736.59, "end": 737.25, "word": " اللي", "probability": 0.8662109375}, {"start": 737.25, "end": 737.81, "word": " بعدها", "probability": 0.76953125}, {"start": 737.81, "end": 738.77, "word": " اتنين", "probability": 0.9765625}, {"start": 738.77, "end": 738.97, "word": " في", "probability": 0.9658203125}, {"start": 738.97, "end": 739.41, "word": " ثومان", "probability": 0.5439860026041666}, {"start": 739.41, "end": 739.93, "word": " بيعطيني", "probability": 0.8515625}, {"start": 739.93, "end": 740.59, "word": " الرابع", "probability": 0.8391927083333334}, {"start": 740.59, "end": 741.23, "word": " سنش", "probability": 0.95556640625}, {"start": 741.23, "end": 741.81, "word": " اتنين", "probability": 0.98486328125}, {"start": 741.81, "end": 742.29, "word": " اكس", "probability": 0.9905598958333334}, {"start": 742.29, "end": 743.47, "word": " يبقى", "probability": 0.9825439453125}, {"start": 743.47, "end": 744.37, "word": " الرابع", "probability": 0.98095703125}, {"start": 744.37, "end": 745.05, "word": " سنش", "probability": 0.99267578125}, {"start": 745.05, "end": 745.55, "word": " اتنين", "probability": 0.991943359375}, {"start": 745.55, "end": 745.87, "word": " اكس", "probability": 0.9912109375}, {"start": 745.87, "end": 746.35, "word": " وبضيف", "probability": 0.6534016927083334}, {"start": 746.35, "end": 746.71, "word": " لك", "probability": 0.5841064453125}, {"start": 746.71, "end": 747.17, "word": " نص", "probability": 0.934814453125}, {"start": 747.17, "end": 747.65, "word": " تاني", "probability": 0.7849934895833334}], "temperature": 1.0}, {"id": 36, "seek": 76718, "start": 748.4, "end": 767.18, "text": "يبقى لما أشتغل الشغل هذه هتوصلني إلى نفس النتيجة اللي اشتغلتها قبل هيك السؤال هو أيه ما أسهل نستخدم الجدول هذا و الله نرجع لطريقتنا الأولانية هذه؟ الجدول", "tokens": [1829, 3555, 4587, 7578, 5296, 15042, 5551, 8592, 2655, 17082, 1211, 25124, 17082, 1211, 29538, 8032, 2655, 2407, 36520, 22653, 30731, 8717, 36178, 28239, 31371, 7435, 3660, 13672, 1829, 1975, 8592, 2655, 17082, 1211, 2655, 11296, 12174, 36150, 39896, 4117, 21136, 33604, 6027, 31439, 36632, 3224, 19446, 5551, 3794, 3224, 1211, 8717, 14851, 9778, 40448, 25724, 3215, 12610, 23758, 4032, 21984, 8717, 47341, 3615, 5296, 9566, 16572, 38149, 8315, 16247, 12610, 7649, 10632, 29538, 22807, 25724, 3215, 12610], "avg_logprob": -0.16475474758993222, "compression_ratio": 1.7222222222222223, "no_speech_prob": 0.0, "words": [{"start": 748.4, "end": 748.82, "word": "يبقى", "probability": 0.814208984375}, {"start": 748.82, "end": 749.04, "word": " لما", "probability": 0.94189453125}, {"start": 749.04, "end": 749.7, "word": " أشتغل", "probability": 0.91767578125}, {"start": 749.7, "end": 750.32, "word": " الشغل", "probability": 0.89599609375}, {"start": 750.32, "end": 750.82, "word": " هذه", "probability": 0.72802734375}, {"start": 750.82, "end": 752.48, "word": " هتوصلني", "probability": 0.73291015625}, {"start": 752.48, "end": 752.78, "word": " إلى", "probability": 0.68798828125}, {"start": 752.78, "end": 753.14, "word": " نفس", "probability": 0.99755859375}, {"start": 753.14, "end": 754.0, "word": " النتيجة", "probability": 0.961181640625}, {"start": 754.0, "end": 754.5, "word": " اللي", "probability": 0.81689453125}, {"start": 754.5, "end": 755.32, "word": " اشتغلتها", "probability": 0.9390345982142857}, {"start": 755.32, "end": 755.82, "word": " قبل", "probability": 0.97119140625}, {"start": 755.82, "end": 756.28, "word": " هيك", "probability": 0.6976318359375}, {"start": 756.28, "end": 757.18, "word": " السؤال", "probability": 0.88037109375}, {"start": 757.18, "end": 757.56, "word": " هو", "probability": 0.97021484375}, {"start": 757.56, "end": 758.48, "word": " أيه", "probability": 0.72998046875}, {"start": 758.48, "end": 758.7, "word": " ما", "probability": 0.471923828125}, {"start": 758.7, "end": 760.5, "word": " أسهل", "probability": 0.8487548828125}, {"start": 760.5, "end": 761.62, "word": " نستخدم", "probability": 0.8690185546875}, {"start": 761.62, "end": 762.34, "word": " الجدول", "probability": 0.9593098958333334}, {"start": 762.34, "end": 762.88, "word": " هذا", "probability": 0.93896484375}, {"start": 762.88, "end": 763.36, "word": " و", "probability": 0.58642578125}, {"start": 763.36, "end": 763.58, "word": " الله", "probability": 0.8623046875}, {"start": 763.58, "end": 764.04, "word": " نرجع", "probability": 0.9583333333333334}, {"start": 764.04, "end": 764.76, "word": " لطريقتنا", "probability": 0.9396484375}, {"start": 764.76, "end": 765.5, "word": " الأولانية", "probability": 0.96826171875}, {"start": 765.5, "end": 766.18, "word": " هذه؟", "probability": 0.672119140625}, {"start": 766.18, "end": 767.18, "word": " الجدول", "probability": 0.9373372395833334}], "temperature": 1.0}, {"id": 37, "seek": 78051, "start": 767.59, "end": 780.51, "text": "يبقى الجدول، بريحله بدم هيك، مظبوط؟ طيب السؤال هو سنة شوية، هتجاوب على أسئلتك من دون بتسأل، هتجاوب على أسئلتك، السؤال هو", "tokens": [1829, 3555, 4587, 7578, 25724, 3215, 12610, 12399, 4724, 16572, 5016, 43761, 47525, 2304, 39896, 4117, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 23032, 1829, 3555, 21136, 33604, 6027, 31439, 8608, 1863, 3660, 13412, 2407, 10632, 12399, 8032, 2655, 7435, 995, 37746, 15844, 5551, 3794, 19986, 1211, 2655, 4117, 9154, 11778, 11536, 39894, 3794, 10721, 1211, 12399, 8032, 2655, 7435, 995, 37746, 15844, 5551, 3794, 19986, 1211, 2655, 4117, 12399, 21136, 33604, 6027, 31439], "avg_logprob": -0.295000007947286, "compression_ratio": 1.6717557251908397, "no_speech_prob": 0.0, "words": [{"start": 767.59, "end": 768.05, "word": "يبقى", "probability": 0.6453857421875}, {"start": 768.05, "end": 768.59, "word": " الجدول،", "probability": 0.6185302734375}, {"start": 768.59, "end": 769.19, "word": " بريحله", "probability": 0.69927978515625}, {"start": 769.19, "end": 769.49, "word": " بدم", "probability": 0.415771484375}, {"start": 769.49, "end": 770.03, "word": " هيك،", "probability": 0.8603515625}, {"start": 770.03, "end": 771.37, "word": " مظبوط؟", "probability": 0.7509358723958334}, {"start": 771.37, "end": 771.67, "word": " طيب", "probability": 0.8372395833333334}, {"start": 771.67, "end": 772.25, "word": " السؤال", "probability": 0.9207356770833334}, {"start": 772.25, "end": 772.59, "word": " هو", "probability": 0.99560546875}, {"start": 772.59, "end": 774.45, "word": " سنة", "probability": 0.554931640625}, {"start": 774.45, "end": 775.11, "word": " شوية،", "probability": 0.8709716796875}, {"start": 775.11, "end": 775.61, "word": " هتجاوب", "probability": 0.82841796875}, {"start": 775.61, "end": 775.85, "word": " على", "probability": 0.8359375}, {"start": 775.85, "end": 776.47, "word": " أسئلتك", "probability": 0.8543294270833334}, {"start": 776.47, "end": 776.63, "word": " من", "probability": 0.91845703125}, {"start": 776.63, "end": 776.83, "word": " دون", "probability": 0.592041015625}, {"start": 776.83, "end": 777.79, "word": " بتسأل،", "probability": 0.80244140625}, {"start": 777.79, "end": 778.27, "word": " هتجاوب", "probability": 0.99111328125}, {"start": 778.27, "end": 778.39, "word": " على", "probability": 0.87939453125}, {"start": 778.39, "end": 779.13, "word": " أسئلتك،", "probability": 0.9280133928571429}, {"start": 779.13, "end": 780.29, "word": " السؤال", "probability": 0.9739583333333334}, {"start": 780.29, "end": 780.51, "word": " هو", "probability": 0.9970703125}], "temperature": 1.0}, {"id": 38, "seek": 80694, "start": 781.5, "end": 806.94, "text": "النتيجة بهذه الجدول هي النتيجة اللي اتبعناها في حل المثال integration by parts مرتين، تلاتة، اربعة، قد ما يكون، تمام؟ السؤال هو هل هذه الطريقة بتنفع لكل مثلة؟ الإجابة لا السؤال هو مرة تانية، مين هي المثال اللي بتنفعلها الطريقة هذه؟", "tokens": [6027, 1863, 31371, 7435, 3660, 39627, 24192, 25724, 3215, 12610, 39896, 28239, 31371, 7435, 3660, 13672, 1829, 1975, 2655, 3555, 3615, 8315, 11296, 8978, 11331, 1211, 9673, 12984, 6027, 10980, 538, 3166, 3714, 43500, 9957, 12399, 6055, 1211, 9307, 3660, 12399, 1975, 25513, 27884, 12399, 12174, 3215, 19446, 7251, 30544, 12399, 46811, 10943, 22807, 21136, 33604, 6027, 31439, 8032, 1211, 29538, 41950, 16572, 28671, 39894, 1863, 5172, 3615, 5296, 28820, 50113, 37977, 22807, 33688, 7435, 16758, 3660, 20193, 21136, 33604, 6027, 31439, 3714, 25720, 6055, 7649, 10632, 12399, 3714, 9957, 39896, 9673, 12984, 6027, 13672, 1829, 39894, 1863, 5172, 30241, 11296, 41950, 16572, 28671, 29538, 22807], "avg_logprob": -0.18165888351814768, "compression_ratio": 1.8617511520737327, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 781.5, "end": 782.3, "word": "النتيجة", "probability": 0.795556640625}, {"start": 782.3, "end": 782.96, "word": " بهذه", "probability": 0.8564453125}, {"start": 782.96, "end": 783.58, "word": " الجدول", "probability": 0.9658203125}, {"start": 783.58, "end": 783.92, "word": " هي", "probability": 0.81640625}, {"start": 783.92, "end": 784.6, "word": " النتيجة", "probability": 0.879150390625}, {"start": 784.6, "end": 784.74, "word": " اللي", "probability": 0.630615234375}, {"start": 784.74, "end": 785.52, "word": " اتبعناها", "probability": 0.9319661458333334}, {"start": 785.52, "end": 785.76, "word": " في", "probability": 0.89697265625}, {"start": 785.76, "end": 786.14, "word": " حل", "probability": 0.96875}, {"start": 786.14, "end": 786.7, "word": " المثال", "probability": 0.585205078125}, {"start": 786.7, "end": 787.3, "word": " integration", "probability": 0.427001953125}, {"start": 787.3, "end": 787.62, "word": " by", "probability": 0.8525390625}, {"start": 787.62, "end": 788.08, "word": " parts", "probability": 0.876953125}, {"start": 788.08, "end": 789.3, "word": " مرتين،", "probability": 0.830810546875}, {"start": 789.3, "end": 789.92, "word": " تلاتة،", "probability": 0.95302734375}, {"start": 789.92, "end": 790.3, "word": " اربعة،", "probability": 0.78106689453125}, {"start": 790.3, "end": 790.52, "word": " قد", "probability": 0.556396484375}, {"start": 790.52, "end": 790.64, "word": " ما", "probability": 0.91943359375}, {"start": 790.64, "end": 791.28, "word": " يكون،", "probability": 0.6902262369791666}, {"start": 791.28, "end": 792.46, "word": " تمام؟", "probability": 0.8600260416666666}, {"start": 792.46, "end": 792.9, "word": " السؤال", "probability": 0.9801432291666666}, {"start": 792.9, "end": 793.22, "word": " هو", "probability": 0.9873046875}, {"start": 793.22, "end": 794.4, "word": " هل", "probability": 0.92333984375}, {"start": 794.4, "end": 795.02, "word": " هذه", "probability": 0.986328125}, {"start": 795.02, "end": 796.18, "word": " الطريقة", "probability": 0.9894205729166666}, {"start": 796.18, "end": 797.18, "word": " بتنفع", "probability": 0.937744140625}, {"start": 797.18, "end": 797.72, "word": " لكل", "probability": 0.98291015625}, {"start": 797.72, "end": 798.64, "word": " مثلة؟", "probability": 0.87744140625}, {"start": 798.64, "end": 800.26, "word": " الإجابة", "probability": 0.93798828125}, {"start": 800.26, "end": 800.48, "word": " لا", "probability": 0.70849609375}, {"start": 800.48, "end": 801.62, "word": " السؤال", "probability": 0.8505859375}, {"start": 801.62, "end": 802.0, "word": " هو", "probability": 0.96630859375}, {"start": 802.0, "end": 802.68, "word": " مرة", "probability": 0.925048828125}, {"start": 802.68, "end": 803.58, "word": " تانية،", "probability": 0.86065673828125}, {"start": 803.58, "end": 803.94, "word": " مين", "probability": 0.86669921875}, {"start": 803.94, "end": 804.2, "word": " هي", "probability": 0.9560546875}, {"start": 804.2, "end": 804.92, "word": " المثال", "probability": 0.9747721354166666}, {"start": 804.92, "end": 805.08, "word": " اللي", "probability": 0.93115234375}, {"start": 805.08, "end": 805.82, "word": " بتنفعلها", "probability": 0.849560546875}, {"start": 805.82, "end": 806.32, "word": " الطريقة", "probability": 0.9900716145833334}, {"start": 806.32, "end": 806.94, "word": " هذه؟", "probability": 0.920166015625}], "temperature": 1.0}, {"id": 39, "seek": 83747, "start": 815.93, "end": 837.47, "text": "طيب، على أي حال، هذه الطريقة بتنفي على ستة أنواع من المسائل، كويس؟ الآن بدنا نكتب هذه الستة أنواع، و برضه نسأل كمان تساوي بعد ما نخلصها، كويس؟ يفجأ حق والكلام في صيغة ال remark التالية، remark", "tokens": [9566, 1829, 3555, 12399, 15844, 36632, 11331, 6027, 12399, 29538, 41950, 16572, 28671, 39894, 1863, 41185, 15844, 8608, 2655, 3660, 14739, 14407, 3615, 9154, 9673, 3794, 16373, 1211, 12399, 9122, 45865, 3794, 22807, 6024, 48506, 47525, 8315, 8717, 4117, 2655, 3555, 29538, 21136, 2655, 3660, 14739, 14407, 3615, 12399, 4032, 4724, 43042, 3224, 8717, 3794, 10721, 1211, 9122, 2304, 7649, 6055, 3794, 995, 45865, 39182, 19446, 8717, 9778, 1211, 9381, 11296, 12399, 9122, 45865, 3794, 22807, 7251, 5172, 7435, 10721, 11331, 4587, 16070, 28820, 10943, 8978, 20328, 1829, 17082, 3660, 2423, 7942, 16712, 6027, 10632, 12399, 7942], "avg_logprob": -0.17012117346938777, "compression_ratio": 1.7230769230769232, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 815.93, "end": 816.93, "word": "طيب،", "probability": 0.5831298828125}, {"start": 816.93, "end": 817.13, "word": " على", "probability": 0.556640625}, {"start": 817.13, "end": 817.35, "word": " أي", "probability": 0.70947265625}, {"start": 817.35, "end": 818.09, "word": " حال،", "probability": 0.8165690104166666}, {"start": 818.09, "end": 819.01, "word": " هذه", "probability": 0.962890625}, {"start": 819.01, "end": 819.63, "word": " الطريقة", "probability": 0.9918619791666666}, {"start": 819.63, "end": 820.21, "word": " بتنفي", "probability": 0.8312174479166666}, {"start": 820.21, "end": 820.45, "word": " على", "probability": 0.93310546875}, {"start": 820.45, "end": 821.05, "word": " ستة", "probability": 0.92919921875}, {"start": 821.05, "end": 821.55, "word": " أنواع", "probability": 0.9617513020833334}, {"start": 821.55, "end": 821.77, "word": " من", "probability": 0.9794921875}, {"start": 821.77, "end": 823.23, "word": " المسائل،", "probability": 0.8958984375}, {"start": 823.23, "end": 823.93, "word": " كويس؟", "probability": 0.986083984375}, {"start": 823.93, "end": 824.67, "word": " الآن", "probability": 0.681396484375}, {"start": 824.67, "end": 825.05, "word": " بدنا", "probability": 0.91064453125}, {"start": 825.05, "end": 825.49, "word": " نكتب", "probability": 0.9964599609375}, {"start": 825.49, "end": 825.81, "word": " هذه", "probability": 0.951171875}, {"start": 825.81, "end": 826.35, "word": " الستة", "probability": 0.8933919270833334}, {"start": 826.35, "end": 827.37, "word": " أنواع،", "probability": 0.890869140625}, {"start": 827.37, "end": 827.49, "word": " و", "probability": 0.86962890625}, {"start": 827.49, "end": 827.93, "word": " برضه", "probability": 0.8255208333333334}, {"start": 827.93, "end": 828.39, "word": " نسأل", "probability": 0.82098388671875}, {"start": 828.39, "end": 828.79, "word": " كمان", "probability": 0.8025716145833334}, {"start": 828.79, "end": 829.21, "word": " تساوي", "probability": 0.87646484375}, {"start": 829.21, "end": 829.53, "word": " بعد", "probability": 0.85693359375}, {"start": 829.53, "end": 829.69, "word": " ما", "probability": 0.9736328125}, {"start": 829.69, "end": 830.91, "word": " نخلصها،", "probability": 0.9466959635416666}, {"start": 830.91, "end": 831.77, "word": " كويس؟", "probability": 0.9852294921875}, {"start": 831.77, "end": 832.33, "word": " يفجأ", "probability": 0.8604736328125}, {"start": 832.33, "end": 832.69, "word": " حق", "probability": 0.830322265625}, {"start": 832.69, "end": 833.39, "word": " والكلام", "probability": 0.8914388020833334}, {"start": 833.39, "end": 833.59, "word": " في", "probability": 0.96923828125}, {"start": 833.59, "end": 833.97, "word": " صيغة", "probability": 0.9468994140625}, {"start": 833.97, "end": 834.15, "word": " ال", "probability": 0.8935546875}, {"start": 834.15, "end": 834.95, "word": " remark", "probability": 0.470703125}, {"start": 834.95, "end": 836.83, "word": " التالية،", "probability": 0.78582763671875}, {"start": 836.83, "end": 837.47, "word": " remark", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 40, "seek": 86335, "start": 851.27, "end": 863.35, "text": "إذا كانت النتجة مفضلة مفضلة نستخدم", "tokens": [28814, 15730, 25961, 2655, 28239, 2655, 7435, 3660, 3714, 5172, 11242, 37977, 3714, 5172, 11242, 37977, 8717, 14851, 9778, 40448], "avg_logprob": -0.8392857369922456, "compression_ratio": 1.125, "no_speech_prob": 0.0, "words": [{"start": 851.2700000000001, "end": 852.6700000000001, "word": "إذا", "probability": 0.688720703125}, {"start": 852.6700000000001, "end": 854.07, "word": " كانت", "probability": 0.2451171875}, {"start": 854.07, "end": 855.99, "word": " النتجة", "probability": 0.49114990234375}, {"start": 855.99, "end": 856.69, "word": " مفضلة", "probability": 0.36529541015625}, {"start": 856.69, "end": 860.21, "word": " مفضلة", "probability": 0.6018524169921875}, {"start": 860.21, "end": 863.35, "word": " نستخدم", "probability": 0.8128662109375}], "temperature": 1.0}, {"id": 41, "seek": 89908, "start": 871.98, "end": 899.08, "text": "the we use the tabular integration integration in the following cases in the following cases يعني", "tokens": [3322, 321, 764, 264, 4421, 1040, 10980, 10980, 294, 264, 3480, 3331, 294, 264, 3480, 3331, 37495, 22653], "avg_logprob": -0.16940789787392868, "compression_ratio": 1.4428571428571428, "no_speech_prob": 0.0, "words": [{"start": 871.98, "end": 873.38, "word": "the", "probability": 0.44580078125}, {"start": 873.38, "end": 874.78, "word": " we", "probability": 0.468994140625}, {"start": 874.78, "end": 875.38, "word": " use", "probability": 0.91455078125}, {"start": 875.38, "end": 876.1, "word": " the", "probability": 0.896484375}, {"start": 876.1, "end": 876.82, "word": " tabular", "probability": 0.900634765625}, {"start": 876.82, "end": 880.6, "word": " integration", "probability": 0.970703125}, {"start": 880.6, "end": 886.08, "word": " integration", "probability": 0.90771484375}, {"start": 886.08, "end": 887.18, "word": " in", "probability": 0.96533203125}, {"start": 887.18, "end": 887.34, "word": " the", "probability": 0.93798828125}, {"start": 887.34, "end": 887.7, "word": " following", "probability": 0.88330078125}, {"start": 887.7, "end": 888.44, "word": " cases", "probability": 0.94580078125}, {"start": 888.44, "end": 889.28, "word": " in", "probability": 0.8876953125}, {"start": 889.28, "end": 890.42, "word": " the", "probability": 0.94580078125}, {"start": 890.42, "end": 892.54, "word": " following", "probability": 0.8896484375}, {"start": 892.54, "end": 896.3, "word": " cases", "probability": 0.93505859375}, {"start": 896.3, "end": 899.08, "word": " يعني", "probability": 0.868408203125}], "temperature": 1.0}, {"id": 42, "seek": 91580, "start": 900.04, "end": 915.8, "text": "لو كان الان عدد صحيح موجب بنستخدم طريقة الجدول هذه لتابولار انتجريشن لطريقة الجدول اللي قدامنا هذه في الحالات الستة التالية", "tokens": [1211, 2407, 25961, 2423, 7649, 6225, 3215, 3215, 20328, 5016, 1829, 5016, 3714, 29245, 3555, 44945, 14851, 9778, 40448, 23032, 16572, 28671, 25724, 3215, 12610, 29538, 5296, 2655, 16758, 12610, 9640, 16472, 2655, 7435, 16572, 8592, 1863, 5296, 9566, 16572, 28671, 25724, 3215, 12610, 13672, 1829, 12174, 3215, 10943, 8315, 29538, 8978, 21542, 6027, 9307, 21136, 2655, 3660, 16712, 6027, 10632], "avg_logprob": -0.2676411251867971, "compression_ratio": 1.699248120300752, "no_speech_prob": 0.0, "words": [{"start": 900.04, "end": 900.54, "word": "لو", "probability": 0.7352294921875}, {"start": 900.54, "end": 900.84, "word": " كان", "probability": 0.96875}, {"start": 900.84, "end": 901.38, "word": " الان", "probability": 0.53076171875}, {"start": 901.38, "end": 902.1, "word": " عدد", "probability": 0.9690755208333334}, {"start": 902.1, "end": 903.04, "word": " صحيح", "probability": 0.9849853515625}, {"start": 903.04, "end": 903.74, "word": " موجب", "probability": 0.9060872395833334}, {"start": 903.74, "end": 905.24, "word": " بنستخدم", "probability": 0.8291015625}, {"start": 905.24, "end": 905.96, "word": " طريقة", "probability": 0.9856770833333334}, {"start": 905.96, "end": 907.0, "word": " الجدول", "probability": 0.7455240885416666}, {"start": 907.0, "end": 907.7, "word": " هذه", "probability": 0.8125}, {"start": 907.7, "end": 908.72, "word": " لتابولار", "probability": 0.5095703125}, {"start": 908.72, "end": 909.82, "word": " انتجريشن", "probability": 0.784423828125}, {"start": 909.82, "end": 910.56, "word": " لطريقة", "probability": 0.857666015625}, {"start": 910.56, "end": 911.02, "word": " الجدول", "probability": 0.982421875}, {"start": 911.02, "end": 911.18, "word": " اللي", "probability": 0.858642578125}, {"start": 911.18, "end": 911.74, "word": " قدامنا", "probability": 0.9671630859375}, {"start": 911.74, "end": 912.06, "word": " هذه", "probability": 0.615234375}, {"start": 912.06, "end": 912.62, "word": " في", "probability": 0.71484375}, {"start": 912.62, "end": 913.86, "word": " الحالات", "probability": 0.9697265625}, {"start": 913.86, "end": 915.02, "word": " الستة", "probability": 0.8595377604166666}, {"start": 915.02, "end": 915.8, "word": " التالية", "probability": 0.9778645833333334}], "temperature": 1.0}, {"id": 43, "seek": 94324, "start": 924.28, "end": 943.24, "text": "اللي هو ax dx يعني زي المثال تبعنا هذا نمرة واحد نمرة اتنين لو كان عندنا تكامل x أُس n في سنج ال ax dx", "tokens": [6027, 20292, 31439, 6360, 30017, 37495, 22653, 30767, 1829, 9673, 12984, 6027, 6055, 3555, 3615, 8315, 23758, 8717, 2304, 25720, 36764, 24401, 8717, 2304, 25720, 1975, 2655, 1863, 9957, 45164, 25961, 43242, 8315, 6055, 4117, 10943, 1211, 2031, 5551, 10859, 3794, 297, 8978, 8608, 1863, 7435, 2423, 6360, 30017], "avg_logprob": -0.3120312362909317, "compression_ratio": 1.3821138211382114, "no_speech_prob": 0.0, "words": [{"start": 924.28, "end": 924.64, "word": "اللي", "probability": 0.22906494140625}, {"start": 924.64, "end": 924.8, "word": " هو", "probability": 0.822265625}, {"start": 924.8, "end": 925.68, "word": " ax", "probability": 0.359130859375}, {"start": 925.68, "end": 926.66, "word": " dx", "probability": 0.837890625}, {"start": 926.66, "end": 927.04, "word": " يعني", "probability": 0.90576171875}, {"start": 927.04, "end": 927.28, "word": " زي", "probability": 0.9287109375}, {"start": 927.28, "end": 928.18, "word": " المثال", "probability": 0.809326171875}, {"start": 928.18, "end": 929.14, "word": " تبعنا", "probability": 0.82257080078125}, {"start": 929.14, "end": 929.62, "word": " هذا", "probability": 0.422119140625}, {"start": 929.62, "end": 929.94, "word": " نمرة", "probability": 0.7109375}, {"start": 929.94, "end": 930.36, "word": " واحد", "probability": 0.944580078125}, {"start": 930.36, "end": 931.34, "word": " نمرة", "probability": 0.7261555989583334}, {"start": 931.34, "end": 932.04, "word": " اتنين", "probability": 0.958740234375}, {"start": 932.04, "end": 932.74, "word": " لو", "probability": 0.86083984375}, {"start": 932.74, "end": 933.04, "word": " كان", "probability": 0.98681640625}, {"start": 933.04, "end": 933.46, "word": " عندنا", "probability": 0.710693359375}, {"start": 933.46, "end": 934.2, "word": " تكامل", "probability": 0.9217529296875}, {"start": 934.2, "end": 934.78, "word": " x", "probability": 0.85791015625}, {"start": 934.78, "end": 935.44, "word": " أُس", "probability": 0.6863606770833334}, {"start": 935.44, "end": 936.1, "word": " n", "probability": 0.76123046875}, {"start": 936.1, "end": 939.26, "word": " في", "probability": 0.7685546875}, {"start": 939.26, "end": 940.36, "word": " سنج", "probability": 0.6031901041666666}, {"start": 940.36, "end": 941.16, "word": " ال", "probability": 0.7646484375}, {"start": 941.16, "end": 942.26, "word": " ax", "probability": 0.685546875}, {"start": 942.26, "end": 943.24, "word": " dx", "probability": 0.9375}], "temperature": 1.0}, {"id": 44, "seek": 97312, "start": 944.14, "end": 973.12, "text": "لو كان عندنا تكامل x أُس m cosine a x dx 4 لو كان عندنا تكامل x أُس m sine a x dx 5 لو كان عندنا تكامل x أُس n e أُس a x dx 6 لو كان عندنا تكامل x أُس n", "tokens": [1211, 2407, 25961, 43242, 8315, 6055, 4117, 10943, 1211, 2031, 5551, 10859, 3794, 275, 23565, 257, 2031, 30017, 1017, 45164, 25961, 43242, 8315, 6055, 4117, 10943, 1211, 2031, 5551, 10859, 3794, 275, 18609, 257, 2031, 30017, 1025, 45164, 25961, 43242, 8315, 6055, 4117, 10943, 1211, 2031, 5551, 10859, 3794, 297, 308, 5551, 10859, 3794, 257, 2031, 30017, 1386, 45164, 25961, 43242, 8315, 6055, 4117, 10943, 1211, 2031, 5551, 10859, 3794, 297], "avg_logprob": -0.1598307304084301, "compression_ratio": 2.6705882352941175, "no_speech_prob": 0.0, "words": [{"start": 944.14, "end": 944.54, "word": "لو", "probability": 0.6072998046875}, {"start": 944.54, "end": 944.9, "word": " كان", "probability": 0.98779296875}, {"start": 944.9, "end": 945.58, "word": " عندنا", "probability": 0.911376953125}, {"start": 945.58, "end": 946.56, "word": " تكامل", "probability": 0.923583984375}, {"start": 946.56, "end": 947.06, "word": " x", "probability": 0.53369140625}, {"start": 947.06, "end": 947.64, "word": " أُس", "probability": 0.6614583333333334}, {"start": 947.64, "end": 948.08, "word": " m", "probability": 0.35693359375}, {"start": 948.08, "end": 949.06, "word": " cosine", "probability": 0.5107421875}, {"start": 949.06, "end": 950.16, "word": " a", "probability": 0.319091796875}, {"start": 950.16, "end": 950.7, "word": " x", "probability": 0.91650390625}, {"start": 950.7, "end": 951.42, "word": " dx", "probability": 0.65087890625}, {"start": 951.42, "end": 952.74, "word": " 4", "probability": 0.259765625}, {"start": 952.74, "end": 953.66, "word": " لو", "probability": 0.67431640625}, {"start": 953.66, "end": 954.0, "word": " كان", "probability": 0.98876953125}, {"start": 954.0, "end": 954.38, "word": " عندنا", "probability": 0.978759765625}, {"start": 954.38, "end": 955.08, "word": " تكامل", "probability": 0.94775390625}, {"start": 955.08, "end": 955.54, "word": " x", "probability": 0.9794921875}, {"start": 955.54, "end": 956.0, "word": " أُس", "probability": 0.9736328125}, {"start": 956.0, "end": 956.48, "word": " m", "probability": 0.76513671875}, {"start": 956.48, "end": 957.56, "word": " sine", "probability": 0.525390625}, {"start": 957.56, "end": 958.4, "word": " a", "probability": 0.97265625}, {"start": 958.4, "end": 959.04, "word": " x", "probability": 0.98974609375}, {"start": 959.04, "end": 959.78, "word": " dx", "probability": 0.91845703125}, {"start": 959.78, "end": 961.22, "word": " 5", "probability": 0.9560546875}, {"start": 961.22, "end": 962.52, "word": " لو", "probability": 0.95068359375}, {"start": 962.52, "end": 962.88, "word": " كان", "probability": 0.9912109375}, {"start": 962.88, "end": 963.18, "word": " عندنا", "probability": 0.991943359375}, {"start": 963.18, "end": 963.92, "word": " تكامل", "probability": 0.9879150390625}, {"start": 963.92, "end": 964.42, "word": " x", "probability": 0.98974609375}, {"start": 964.42, "end": 964.88, "word": " أُس", "probability": 0.9822591145833334}, {"start": 964.88, "end": 965.38, "word": " n", "probability": 0.88720703125}, {"start": 965.38, "end": 966.06, "word": " e", "probability": 0.791015625}, {"start": 966.06, "end": 966.74, "word": " أُس", "probability": 0.9641927083333334}, {"start": 966.74, "end": 967.18, "word": " a", "probability": 0.95166015625}, {"start": 967.18, "end": 967.66, "word": " x", "probability": 0.98876953125}, {"start": 967.66, "end": 968.32, "word": " dx", "probability": 0.96728515625}, {"start": 968.32, "end": 969.4, "word": " 6", "probability": 0.92919921875}, {"start": 969.4, "end": 970.52, "word": " لو", "probability": 0.96337890625}, {"start": 970.52, "end": 970.86, "word": " كان", "probability": 0.99072265625}, {"start": 970.86, "end": 971.12, "word": " عندنا", "probability": 0.992431640625}, {"start": 971.12, "end": 971.82, "word": " تكامل", "probability": 0.98779296875}, {"start": 971.82, "end": 972.18, "word": " x", "probability": 0.9931640625}, {"start": 972.18, "end": 972.64, "word": " أُس", "probability": 0.9905598958333334}, {"start": 972.64, "end": 973.12, "word": " n", "probability": 0.9013671875}], "temperature": 1.0}, {"id": 45, "seek": 100289, "start": 979.87, "end": 1002.89, "text": "كفة طيب السؤال هو ليش هذه الأنواع من المسائل دون أغيرها من هذه الأنواع اللي بنستخدمها طريقة الجدول هذا السؤال الذي يحتاج إلى إجابة شوف ازاي", "tokens": [4117, 5172, 3660, 23032, 1829, 3555, 21136, 33604, 6027, 31439, 32239, 8592, 29538, 16247, 1863, 14407, 3615, 9154, 9673, 3794, 16373, 1211, 11778, 11536, 5551, 17082, 13546, 11296, 9154, 29538, 16247, 1863, 14407, 3615, 13672, 1829, 44945, 14851, 9778, 40448, 11296, 23032, 16572, 28671, 25724, 3215, 12610, 23758, 21136, 33604, 6027, 43527, 7251, 33753, 26108, 30731, 11933, 7435, 16758, 3660, 13412, 38688, 1975, 11622, 47302], "avg_logprob": -0.17613636047551126, "compression_ratio": 1.7094594594594594, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 979.87, "end": 981.27, "word": "كفة", "probability": 0.538360595703125}, {"start": 981.27, "end": 982.67, "word": " طيب", "probability": 0.7374267578125}, {"start": 982.67, "end": 983.31, "word": " السؤال", "probability": 0.9638671875}, {"start": 983.31, "end": 983.77, "word": " هو", "probability": 0.93310546875}, {"start": 983.77, "end": 985.33, "word": " ليش", "probability": 0.941162109375}, {"start": 985.33, "end": 985.79, "word": " هذه", "probability": 0.98046875}, {"start": 985.79, "end": 986.65, "word": " الأنواع", "probability": 0.9530029296875}, {"start": 986.65, "end": 986.95, "word": " من", "probability": 0.98583984375}, {"start": 986.95, "end": 988.27, "word": " المسائل", "probability": 0.95654296875}, {"start": 988.27, "end": 989.19, "word": " دون", "probability": 0.9521484375}, {"start": 989.19, "end": 990.05, "word": " أغيرها", "probability": 0.8538818359375}, {"start": 990.05, "end": 990.43, "word": " من", "probability": 0.9892578125}, {"start": 990.43, "end": 990.91, "word": " هذه", "probability": 0.96875}, {"start": 990.91, "end": 991.73, "word": " الأنواع", "probability": 0.9906005859375}, {"start": 991.73, "end": 992.35, "word": " اللي", "probability": 0.851318359375}, {"start": 992.35, "end": 993.49, "word": " بنستخدمها", "probability": 0.9439453125}, {"start": 993.49, "end": 994.45, "word": " طريقة", "probability": 0.9783528645833334}, {"start": 994.45, "end": 995.83, "word": " الجدول", "probability": 0.9265950520833334}, {"start": 995.83, "end": 996.69, "word": " هذا", "probability": 0.74072265625}, {"start": 996.69, "end": 997.53, "word": " السؤال", "probability": 0.9798177083333334}, {"start": 997.53, "end": 998.61, "word": " الذي", "probability": 0.38671875}, {"start": 998.61, "end": 1000.61, "word": " يحتاج", "probability": 0.9554036458333334}, {"start": 1000.61, "end": 1001.07, "word": " إلى", "probability": 0.796875}, {"start": 1001.07, "end": 1002.19, "word": " إجابة", "probability": 0.9866943359375}, {"start": 1002.19, "end": 1002.59, "word": " شوف", "probability": 0.92919921875}, {"start": 1002.59, "end": 1002.89, "word": " ازاي", "probability": 0.6075032552083334}], "temperature": 1.0}, {"id": 46, "seek": 101655, "start": 1003.71, "end": 1016.55, "text": "طلعلي في كل دالة من الدوالي الستة اللي مع X أس M لو فاضلتها والله كاملتها يا بضلها هي نفسها", "tokens": [9566, 1211, 3615, 20292, 8978, 28242, 11778, 6027, 3660, 9154, 32748, 2407, 6027, 1829, 21136, 2655, 3660, 13672, 1829, 20449, 1783, 5551, 3794, 376, 45164, 6156, 46958, 1211, 2655, 11296, 16070, 43761, 9122, 10943, 1211, 2655, 11296, 35186, 4724, 11242, 1211, 11296, 39896, 8717, 36178, 11296], "avg_logprob": -0.2859042527827811, "compression_ratio": 1.4770642201834863, "no_speech_prob": 0.0, "words": [{"start": 1003.71, "end": 1004.51, "word": "طلعلي", "probability": 0.7476806640625}, {"start": 1004.51, "end": 1004.67, "word": " في", "probability": 0.74365234375}, {"start": 1004.67, "end": 1005.15, "word": " كل", "probability": 0.95556640625}, {"start": 1005.15, "end": 1005.69, "word": " دالة", "probability": 0.7440592447916666}, {"start": 1005.69, "end": 1005.85, "word": " من", "probability": 0.97216796875}, {"start": 1005.85, "end": 1006.61, "word": " الدوالي", "probability": 0.92138671875}, {"start": 1006.61, "end": 1007.79, "word": " الستة", "probability": 0.7388509114583334}, {"start": 1007.79, "end": 1008.31, "word": " اللي", "probability": 0.90478515625}, {"start": 1008.31, "end": 1008.51, "word": " مع", "probability": 0.96484375}, {"start": 1008.51, "end": 1009.91, "word": " X", "probability": 0.35791015625}, {"start": 1009.91, "end": 1010.37, "word": " أس", "probability": 0.5006103515625}, {"start": 1010.37, "end": 1010.79, "word": " M", "probability": 0.51220703125}, {"start": 1010.79, "end": 1012.15, "word": " لو", "probability": 0.51318359375}, {"start": 1012.15, "end": 1013.17, "word": " فاضلتها", "probability": 0.9181640625}, {"start": 1013.17, "end": 1013.57, "word": " والله", "probability": 0.73388671875}, {"start": 1013.57, "end": 1014.51, "word": " كاملتها", "probability": 0.88994140625}, {"start": 1014.51, "end": 1014.73, "word": " يا", "probability": 0.4658203125}, {"start": 1014.73, "end": 1015.39, "word": " بضلها", "probability": 0.6842041015625}, {"start": 1015.39, "end": 1015.71, "word": " هي", "probability": 0.71240234375}, {"start": 1015.71, "end": 1016.55, "word": " نفسها", "probability": 0.98193359375}], "temperature": 1.0}, {"id": 47, "seek": 104403, "start": 1016.95, "end": 1044.03, "text": "يا اما بتيجي مين دالة تانية وبعد تالت مرة بتعود كما كانت فمثلا امسك الأربع الأولانيات هدول كله sin cos sin cos طبعا بتيجي اشارة صالح ماعناش مشكلة في مقدار ثابت مايأثرش عندنا تمام يبقى sin cos sin cos sin gosh sin gosh إلى اخرى تمام هذا بالنسبة للأربع الأولانيات بالنسبة لل exponential", "tokens": [25528, 1975, 15042, 39894, 1829, 7435, 1829, 3714, 9957, 11778, 6027, 3660, 6055, 7649, 10632, 46599, 22488, 6055, 6027, 2655, 3714, 25720, 39894, 3615, 23328, 9122, 15042, 25961, 2655, 6156, 2304, 12984, 15040, 1975, 2304, 3794, 4117, 16247, 25513, 3615, 16247, 12610, 7649, 1829, 9307, 8032, 3215, 12610, 28242, 3224, 3343, 3792, 3343, 3792, 23032, 3555, 3615, 995, 39894, 1829, 7435, 1829, 1975, 8592, 9640, 3660, 20328, 6027, 5016, 19446, 3615, 1863, 33599, 37893, 28820, 3660, 8978, 3714, 28543, 9640, 38637, 16758, 2655, 19446, 1829, 10721, 49115, 8592, 43242, 8315, 46811, 10943, 7251, 3555, 4587, 7578, 3343, 3792, 3343, 3792, 3343, 352, 2716, 3343, 6502, 30731, 1975, 34740, 7578, 46811, 10943, 23758, 20666, 1863, 35457, 3660, 24976, 10721, 25513, 3615, 16247, 12610, 7649, 1829, 9307, 20666, 1863, 35457, 3660, 24976, 21510], "avg_logprob": -0.26917612665530405, "compression_ratio": 1.9458333333333333, "no_speech_prob": 0.0, "words": [{"start": 1016.95, "end": 1017.37, "word": "يا", "probability": 0.149658203125}, {"start": 1017.37, "end": 1017.69, "word": " اما", "probability": 0.774169921875}, {"start": 1017.69, "end": 1018.27, "word": " بتيجي", "probability": 0.62969970703125}, {"start": 1018.27, "end": 1018.65, "word": " مين", "probability": 0.51861572265625}, {"start": 1018.65, "end": 1019.09, "word": " دالة", "probability": 0.6878255208333334}, {"start": 1019.09, "end": 1019.45, "word": " تانية", "probability": 0.9189453125}, {"start": 1019.45, "end": 1019.91, "word": " وبعد", "probability": 0.76123046875}, {"start": 1019.91, "end": 1020.37, "word": " تالت", "probability": 0.9744466145833334}, {"start": 1020.37, "end": 1020.63, "word": " مرة", "probability": 0.977783203125}, {"start": 1020.63, "end": 1021.09, "word": " بتعود", "probability": 0.9065755208333334}, {"start": 1021.09, "end": 1021.45, "word": " كما", "probability": 0.959228515625}, {"start": 1021.45, "end": 1022.03, "word": " كانت", "probability": 0.807861328125}, {"start": 1022.03, "end": 1023.05, "word": " فمثلا", "probability": 0.90673828125}, {"start": 1023.05, "end": 1024.21, "word": " امسك", "probability": 0.9571533203125}, {"start": 1024.21, "end": 1024.81, "word": " الأربع", "probability": 0.8806966145833334}, {"start": 1024.81, "end": 1025.87, "word": " الأولانيات", "probability": 0.9154296875}, {"start": 1025.87, "end": 1026.35, "word": " هدول", "probability": 0.6034342447916666}, {"start": 1026.35, "end": 1027.25, "word": " كله", "probability": 0.64599609375}, {"start": 1027.25, "end": 1027.65, "word": " sin", "probability": 0.330322265625}, {"start": 1027.65, "end": 1028.07, "word": " cos", "probability": 0.6025390625}, {"start": 1028.07, "end": 1028.59, "word": " sin", "probability": 0.87939453125}, {"start": 1028.59, "end": 1029.11, "word": " cos", "probability": 0.9755859375}, {"start": 1029.11, "end": 1029.55, "word": " طبعا", "probability": 0.9423828125}, {"start": 1029.55, "end": 1029.79, "word": " بتيجي", "probability": 0.915283203125}, {"start": 1029.79, "end": 1030.13, "word": " اشارة", "probability": 0.656005859375}, {"start": 1030.13, "end": 1030.39, "word": " صالح", "probability": 0.6466471354166666}, {"start": 1030.39, "end": 1030.69, "word": " ماعناش", "probability": 0.6358642578125}, {"start": 1030.69, "end": 1031.23, "word": " مشكلة", "probability": 0.9737955729166666}, {"start": 1031.23, "end": 1031.63, "word": " في", "probability": 0.67919921875}, {"start": 1031.63, "end": 1032.05, "word": " مقدار", "probability": 0.9514973958333334}, {"start": 1032.05, "end": 1032.41, "word": " ثابت", "probability": 0.9720052083333334}, {"start": 1032.41, "end": 1033.03, "word": " مايأثرش", "probability": 0.82255859375}, {"start": 1033.03, "end": 1033.57, "word": " عندنا", "probability": 0.6273193359375}, {"start": 1033.57, "end": 1034.23, "word": " تمام", "probability": 0.650390625}, {"start": 1034.23, "end": 1035.19, "word": " يبقى", "probability": 0.90185546875}, {"start": 1035.19, "end": 1035.77, "word": " sin", "probability": 0.9541015625}, {"start": 1035.77, "end": 1036.19, "word": " cos", "probability": 0.9658203125}, {"start": 1036.19, "end": 1036.85, "word": " sin", "probability": 0.96875}, {"start": 1036.85, "end": 1037.27, "word": " cos", "probability": 0.962890625}, {"start": 1037.27, "end": 1038.03, "word": " sin", "probability": 0.7490234375}, {"start": 1038.03, "end": 1038.67, "word": " gosh", "probability": 0.475555419921875}, {"start": 1038.67, "end": 1038.95, "word": " sin", "probability": 0.80615234375}, {"start": 1038.95, "end": 1039.47, "word": " gosh", "probability": 0.5205078125}, {"start": 1039.47, "end": 1039.75, "word": " إلى", "probability": 0.44482421875}, {"start": 1039.75, "end": 1040.35, "word": " اخرى", "probability": 0.78564453125}, {"start": 1040.35, "end": 1041.07, "word": " تمام", "probability": 0.938232421875}, {"start": 1041.07, "end": 1041.27, "word": " هذا", "probability": 0.51708984375}, {"start": 1041.27, "end": 1041.57, "word": " بالنسبة", "probability": 0.96044921875}, {"start": 1041.57, "end": 1041.91, "word": " للأربع", "probability": 0.9072265625}, {"start": 1041.91, "end": 1042.61, "word": " الأولانيات", "probability": 0.97275390625}, {"start": 1042.61, "end": 1043.53, "word": " بالنسبة", "probability": 0.9925537109375}, {"start": 1043.53, "end": 1043.71, "word": " لل", "probability": 0.9501953125}, {"start": 1043.71, "end": 1044.03, "word": " exponential", "probability": 0.6396484375}], "temperature": 1.0}, {"id": 48, "seek": 106404, "start": 1045.14, "end": 1064.04, "text": "إذا اشتقيتها و الله كملتها، تبقى اللي قاعدة زي ما هي، يا ابن اضغط في كل نص أنت يا ابن اقسم على مين؟ على كل نص أنت بالنسبة للدول اللي هو دي X زي ما هي، بس يا ابن اضغط في لن الإيه، يا ابن اقسم على لن الإيه، لكن لو جيت تختار دول أخرى، مثلا", "tokens": [28814, 15730, 1975, 8592, 2655, 4587, 36081, 11296, 4032, 21984, 9122, 42213, 2655, 11296, 12399, 6055, 3555, 4587, 7578, 13672, 1829, 12174, 995, 22488, 3660, 30767, 1829, 19446, 39896, 12399, 35186, 48127, 1863, 1975, 11242, 17082, 9566, 8978, 28242, 8717, 9381, 14739, 2655, 35186, 48127, 1863, 1975, 4587, 38251, 15844, 3714, 9957, 22807, 15844, 28242, 8717, 9381, 14739, 2655, 20666, 1863, 35457, 3660, 24976, 3215, 12610, 13672, 1829, 31439, 11778, 1829, 1783, 30767, 1829, 19446, 39896, 12399, 4724, 3794, 35186, 48127, 1863, 1975, 11242, 17082, 9566, 8978, 5296, 1863, 33688, 1829, 3224, 12399, 35186, 48127, 1863, 1975, 4587, 38251, 15844, 5296, 1863, 33688, 1829, 3224, 12399, 44381, 45164, 10874, 36081, 6055, 46456, 9640, 11778, 12610, 5551, 34740, 7578, 12399, 50113, 15040], "avg_logprob": -0.3404200770815865, "compression_ratio": 2.101010101010101, "no_speech_prob": 0.0, "words": [{"start": 1045.14, "end": 1045.66, "word": "إذا", "probability": 0.58782958984375}, {"start": 1045.66, "end": 1046.18, "word": " اشتقيتها", "probability": 0.649658203125}, {"start": 1046.18, "end": 1046.26, "word": " و", "probability": 0.642578125}, {"start": 1046.26, "end": 1046.38, "word": " الله", "probability": 0.3603515625}, {"start": 1046.38, "end": 1046.96, "word": " كملتها،", "probability": 0.78447265625}, {"start": 1046.96, "end": 1047.04, "word": " تبقى", "probability": 0.649261474609375}, {"start": 1047.04, "end": 1047.22, "word": " اللي", "probability": 0.4879150390625}, {"start": 1047.22, "end": 1047.66, "word": " قاعدة", "probability": 0.8941650390625}, {"start": 1047.66, "end": 1047.88, "word": " زي", "probability": 0.96337890625}, {"start": 1047.88, "end": 1047.98, "word": " ما", "probability": 0.916015625}, {"start": 1047.98, "end": 1048.14, "word": " هي،", "probability": 0.7061767578125}, {"start": 1048.14, "end": 1048.28, "word": " يا", "probability": 0.1907958984375}, {"start": 1048.28, "end": 1048.42, "word": " ابن", "probability": 0.40185546875}, {"start": 1048.42, "end": 1048.64, "word": " اضغط", "probability": 0.83251953125}, {"start": 1048.64, "end": 1048.78, "word": " في", "probability": 0.9375}, {"start": 1048.78, "end": 1048.96, "word": " كل", "probability": 0.763671875}, {"start": 1048.96, "end": 1049.12, "word": " نص", "probability": 0.863525390625}, {"start": 1049.12, "end": 1049.32, "word": " أنت", "probability": 0.41046142578125}, {"start": 1049.32, "end": 1049.42, "word": " يا", "probability": 0.93603515625}, {"start": 1049.42, "end": 1049.56, "word": " ابن", "probability": 0.857177734375}, {"start": 1049.56, "end": 1049.8, "word": " اقسم", "probability": 0.7288411458333334}, {"start": 1049.8, "end": 1050.0, "word": " على", "probability": 0.78271484375}, {"start": 1050.0, "end": 1050.9, "word": " مين؟", "probability": 0.7390950520833334}, {"start": 1050.9, "end": 1051.16, "word": " على", "probability": 0.83447265625}, {"start": 1051.16, "end": 1051.46, "word": " كل", "probability": 0.96728515625}, {"start": 1051.46, "end": 1051.72, "word": " نص", "probability": 0.986083984375}, {"start": 1051.72, "end": 1052.0, "word": " أنت", "probability": 0.52716064453125}, {"start": 1052.0, "end": 1052.48, "word": " بالنسبة", "probability": 0.8350830078125}, {"start": 1052.48, "end": 1053.0, "word": " للدول", "probability": 0.5966796875}, {"start": 1053.0, "end": 1053.2, "word": " اللي", "probability": 0.672119140625}, {"start": 1053.2, "end": 1053.26, "word": " هو", "probability": 0.1947021484375}, {"start": 1053.26, "end": 1053.56, "word": " دي", "probability": 0.789794921875}, {"start": 1053.56, "end": 1054.24, "word": " X", "probability": 0.2408447265625}, {"start": 1054.24, "end": 1054.72, "word": " زي", "probability": 0.98046875}, {"start": 1054.72, "end": 1054.9, "word": " ما", "probability": 0.96875}, {"start": 1054.9, "end": 1055.54, "word": " هي،", "probability": 0.767822265625}, {"start": 1055.54, "end": 1055.84, "word": " بس", "probability": 0.982177734375}, {"start": 1055.84, "end": 1055.96, "word": " يا", "probability": 0.77587890625}, {"start": 1055.96, "end": 1056.06, "word": " ابن", "probability": 0.8525390625}, {"start": 1056.06, "end": 1056.38, "word": " اضغط", "probability": 0.9542236328125}, {"start": 1056.38, "end": 1056.54, "word": " في", "probability": 0.873046875}, {"start": 1056.54, "end": 1056.76, "word": " لن", "probability": 0.890625}, {"start": 1056.76, "end": 1057.22, "word": " الإيه،", "probability": 0.663543701171875}, {"start": 1057.22, "end": 1057.26, "word": " يا", "probability": 0.346435546875}, {"start": 1057.26, "end": 1057.34, "word": " ابن", "probability": 0.880859375}, {"start": 1057.34, "end": 1057.8, "word": " اقسم", "probability": 0.9597981770833334}, {"start": 1057.8, "end": 1058.78, "word": " على", "probability": 0.86572265625}, {"start": 1058.78, "end": 1059.38, "word": " لن", "probability": 0.98828125}, {"start": 1059.38, "end": 1059.86, "word": " الإيه،", "probability": 0.91015625}, {"start": 1059.86, "end": 1060.12, "word": " لكن", "probability": 0.96533203125}, {"start": 1060.12, "end": 1060.42, "word": " لو", "probability": 0.97900390625}, {"start": 1060.42, "end": 1060.9, "word": " جيت", "probability": 0.987060546875}, {"start": 1060.9, "end": 1061.92, "word": " تختار", "probability": 0.9036458333333334}, {"start": 1061.92, "end": 1062.38, "word": " دول", "probability": 0.811279296875}, {"start": 1062.38, "end": 1063.58, "word": " أخرى،", "probability": 0.8687744140625}, {"start": 1063.58, "end": 1064.04, "word": " مثلا", "probability": 0.925537109375}], "temperature": 1.0}, {"id": 49, "seek": 109381, "start": 1064.59, "end": 1093.81, "text": "سين كو سين قول تان لو جان فاضلة تان ايش بيطلع سكتر بيعة بيطلع فاضلة كمان مرة بصير اتنين سكتر بيتان بترجعش تان كما كان تمام و من هنا اجت الطريقة هذا للاسفبان بسبب التكرار الدوري لمن لهذه الدول نعطيك مثال توضيح على ذلك احسب لي example", "tokens": [3794, 9957, 9122, 2407, 8608, 9957, 12174, 12610, 6055, 7649, 45164, 10874, 7649, 6156, 46958, 37977, 6055, 7649, 1975, 1829, 8592, 4724, 1829, 9566, 1211, 3615, 8608, 4117, 2655, 2288, 4724, 1829, 27884, 4724, 1829, 9566, 1211, 3615, 6156, 46958, 37977, 9122, 2304, 7649, 3714, 25720, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 8608, 4117, 2655, 2288, 4724, 36081, 7649, 39894, 47341, 3615, 8592, 6055, 7649, 9122, 15042, 25961, 46811, 10943, 4032, 9154, 34105, 1975, 7435, 2655, 41950, 16572, 28671, 23758, 24976, 32277, 5172, 3555, 7649, 4724, 35457, 3555, 16712, 37983, 9640, 32748, 13063, 1829, 5296, 27842, 46740, 24192, 32748, 12610, 8717, 3615, 9566, 1829, 4117, 50113, 6027, 33427, 11242, 1829, 5016, 15844, 29910, 23275, 1975, 5016, 35457, 32239, 1365], "avg_logprob": -0.291838852827214, "compression_ratio": 1.8513513513513513, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1064.59, "end": 1065.05, "word": "سين", "probability": 0.3509521484375}, {"start": 1065.05, "end": 1065.47, "word": " كو", "probability": 0.619140625}, {"start": 1065.47, "end": 1065.71, "word": " سين", "probability": 0.935791015625}, {"start": 1065.71, "end": 1066.03, "word": " قول", "probability": 0.41400146484375}, {"start": 1066.03, "end": 1066.43, "word": " تان", "probability": 0.912109375}, {"start": 1066.43, "end": 1067.01, "word": " لو", "probability": 0.5126953125}, {"start": 1067.01, "end": 1067.25, "word": " جان", "probability": 0.630615234375}, {"start": 1067.25, "end": 1067.71, "word": " فاضلة", "probability": 0.622802734375}, {"start": 1067.71, "end": 1068.15, "word": " تان", "probability": 0.980712890625}, {"start": 1068.15, "end": 1068.31, "word": " ايش", "probability": 0.6277669270833334}, {"start": 1068.31, "end": 1068.83, "word": " بيطلع", "probability": 0.84560546875}, {"start": 1068.83, "end": 1069.55, "word": " سكتر", "probability": 0.58856201171875}, {"start": 1069.55, "end": 1069.89, "word": " بيعة", "probability": 0.5513509114583334}, {"start": 1069.89, "end": 1070.67, "word": " بيطلع", "probability": 0.581103515625}, {"start": 1070.67, "end": 1071.05, "word": " فاضلة", "probability": 0.89404296875}, {"start": 1071.05, "end": 1071.45, "word": " كمان", "probability": 0.9646809895833334}, {"start": 1071.45, "end": 1071.93, "word": " مرة", "probability": 0.954833984375}, {"start": 1071.93, "end": 1072.91, "word": " بصير", "probability": 0.8291015625}, {"start": 1072.91, "end": 1073.83, "word": " اتنين", "probability": 0.9515380859375}, {"start": 1073.83, "end": 1074.81, "word": " سكتر", "probability": 0.95751953125}, {"start": 1074.81, "end": 1075.73, "word": " بيتان", "probability": 0.8081868489583334}, {"start": 1075.73, "end": 1076.45, "word": " بترجعش", "probability": 0.77374267578125}, {"start": 1076.45, "end": 1076.71, "word": " تان", "probability": 0.91845703125}, {"start": 1076.71, "end": 1077.05, "word": " كما", "probability": 0.86669921875}, {"start": 1077.05, "end": 1077.49, "word": " كان", "probability": 0.97802734375}, {"start": 1077.49, "end": 1078.41, "word": " تمام", "probability": 0.755615234375}, {"start": 1078.41, "end": 1078.91, "word": " و", "probability": 0.79931640625}, {"start": 1078.91, "end": 1079.15, "word": " من", "probability": 0.580078125}, {"start": 1079.15, "end": 1079.53, "word": " هنا", "probability": 0.97998046875}, {"start": 1079.53, "end": 1080.09, "word": " اجت", "probability": 0.8359375}, {"start": 1080.09, "end": 1080.65, "word": " الطريقة", "probability": 0.974609375}, {"start": 1080.65, "end": 1080.93, "word": " هذا", "probability": 0.662109375}, {"start": 1080.93, "end": 1081.73, "word": " للاسفبان", "probability": 0.5873046875}, {"start": 1081.73, "end": 1082.41, "word": " بسبب", "probability": 0.9835611979166666}, {"start": 1082.41, "end": 1083.21, "word": " التكرار", "probability": 0.9075520833333334}, {"start": 1083.21, "end": 1084.23, "word": " الدوري", "probability": 0.9503580729166666}, {"start": 1084.23, "end": 1084.83, "word": " لمن", "probability": 0.736083984375}, {"start": 1084.83, "end": 1085.85, "word": " لهذه", "probability": 0.866455078125}, {"start": 1085.85, "end": 1087.05, "word": " الدول", "probability": 0.798828125}, {"start": 1087.05, "end": 1088.09, "word": " نعطيك", "probability": 0.883544921875}, {"start": 1088.09, "end": 1088.49, "word": " مثال", "probability": 0.96484375}, {"start": 1088.49, "end": 1088.97, "word": " توضيح", "probability": 0.8349609375}, {"start": 1088.97, "end": 1089.27, "word": " على", "probability": 0.91552734375}, {"start": 1089.27, "end": 1089.83, "word": " ذلك", "probability": 0.99267578125}, {"start": 1089.83, "end": 1090.81, "word": " احسب", "probability": 0.96435546875}, {"start": 1090.81, "end": 1091.15, "word": " لي", "probability": 0.38818359375}, {"start": 1091.15, "end": 1093.81, "word": " example", "probability": 0.779296875}], "temperature": 1.0}, {"id": 50, "seek": 111546, "start": 1099.86, "end": 1115.46, "text": "Evaluate يحسب إنه تكامل لمن؟ لل X ترابيع X ترابيع في تلاتة أُس X كله بالنسبة إلى DX", "tokens": [36, 3337, 10107, 7251, 5016, 35457, 36145, 3224, 6055, 4117, 10943, 1211, 5296, 27842, 22807, 24976, 1783, 6055, 2288, 16758, 40228, 1783, 6055, 2288, 16758, 40228, 8978, 6055, 1211, 9307, 3660, 5551, 10859, 3794, 1783, 28242, 3224, 20666, 1863, 35457, 3660, 30731, 48817], "avg_logprob": -0.2512429119511084, "compression_ratio": 1.1929824561403508, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1099.86, "end": 1101.26, "word": "Evaluate", "probability": 0.5574544270833334}, {"start": 1101.26, "end": 1102.66, "word": " يحسب", "probability": 0.8450520833333334}, {"start": 1102.66, "end": 1103.02, "word": " إنه", "probability": 0.45849609375}, {"start": 1103.02, "end": 1104.28, "word": " تكامل", "probability": 0.982421875}, {"start": 1104.28, "end": 1105.6, "word": " لمن؟", "probability": 0.84716796875}, {"start": 1105.6, "end": 1105.94, "word": " لل", "probability": 0.56787109375}, {"start": 1105.94, "end": 1106.38, "word": " X", "probability": 0.4443359375}, {"start": 1106.38, "end": 1107.36, "word": " ترابيع", "probability": 0.7164306640625}, {"start": 1107.36, "end": 1108.4, "word": " X", "probability": 0.402587890625}, {"start": 1108.4, "end": 1109.24, "word": " ترابيع", "probability": 0.9105224609375}, {"start": 1109.24, "end": 1110.0, "word": " في", "probability": 0.90869140625}, {"start": 1110.0, "end": 1111.06, "word": " تلاتة", "probability": 0.9073486328125}, {"start": 1111.06, "end": 1111.54, "word": " أُس", "probability": 0.7890625}, {"start": 1111.54, "end": 1112.1, "word": " X", "probability": 0.97412109375}, {"start": 1112.1, "end": 1113.06, "word": " كله", "probability": 0.935302734375}, {"start": 1113.06, "end": 1114.0, "word": " بالنسبة", "probability": 0.99755859375}, {"start": 1114.0, "end": 1114.5, "word": " إلى", "probability": 0.853515625}, {"start": 1114.5, "end": 1115.46, "word": " DX", "probability": 0.81982421875}], "temperature": 1.0}, {"id": 51, "seek": 114566, "start": 1125.8, "end": 1145.66, "text": "واضح ان هذه السؤالة على صيغة رقم 6 ال a بس أجب أكانها main تلاتة و ال n أجب أكانها main اتنى اذا انا بروح اعمله الجدول اذا لو روحت اعملسله الجدول بدي اقوله هنا ال derivatives او هنا بدي اخدله ال integrals", "tokens": [2407, 46958, 5016, 16472, 29538, 21136, 33604, 6027, 3660, 15844, 20328, 1829, 17082, 3660, 12602, 4587, 2304, 1386, 2423, 257, 4724, 3794, 5551, 7435, 3555, 5551, 41361, 11296, 2135, 6055, 1211, 9307, 3660, 4032, 2423, 297, 5551, 7435, 3555, 5551, 41361, 11296, 2135, 1975, 2655, 1863, 7578, 1975, 15730, 1975, 8315, 4724, 32887, 5016, 1975, 25957, 43761, 25724, 3215, 12610, 1975, 15730, 45164, 12602, 2407, 33753, 1975, 25957, 1211, 3794, 43761, 25724, 3215, 12610, 4724, 16254, 1975, 39648, 3224, 34105, 2423, 33733, 1975, 2407, 34105, 4724, 16254, 1975, 9778, 3215, 43761, 2423, 3572, 1124], "avg_logprob": -0.2800986886024475, "compression_ratio": 1.7914438502673797, "no_speech_prob": 0.0, "words": [{"start": 1125.8, "end": 1126.34, "word": "واضح", "probability": 0.94384765625}, {"start": 1126.34, "end": 1126.54, "word": " ان", "probability": 0.57421875}, {"start": 1126.54, "end": 1126.78, "word": " هذه", "probability": 0.2066650390625}, {"start": 1126.78, "end": 1127.28, "word": " السؤالة", "probability": 0.9256591796875}, {"start": 1127.28, "end": 1127.44, "word": " على", "probability": 0.74365234375}, {"start": 1127.44, "end": 1128.02, "word": " صيغة", "probability": 0.857177734375}, {"start": 1128.02, "end": 1128.82, "word": " رقم", "probability": 0.9597981770833334}, {"start": 1128.82, "end": 1130.02, "word": " 6", "probability": 0.77099609375}, {"start": 1130.02, "end": 1130.74, "word": " ال", "probability": 0.46142578125}, {"start": 1130.74, "end": 1131.0, "word": " a", "probability": 0.36962890625}, {"start": 1131.0, "end": 1131.26, "word": " بس", "probability": 0.4000244140625}, {"start": 1131.26, "end": 1131.52, "word": " أجب", "probability": 0.7213541666666666}, {"start": 1131.52, "end": 1131.94, "word": " أكانها", "probability": 0.5098470052083334}, {"start": 1131.94, "end": 1132.16, "word": " main", "probability": 0.388671875}, {"start": 1132.16, "end": 1132.76, "word": " تلاتة", "probability": 0.8470458984375}, {"start": 1132.76, "end": 1132.9, "word": " و", "probability": 0.51123046875}, {"start": 1132.9, "end": 1133.06, "word": " ال", "probability": 0.9013671875}, {"start": 1133.06, "end": 1133.28, "word": " n", "probability": 0.8779296875}, {"start": 1133.28, "end": 1133.62, "word": " أجب", "probability": 0.9801432291666666}, {"start": 1133.62, "end": 1134.0, "word": " أكانها", "probability": 0.9759114583333334}, {"start": 1134.0, "end": 1134.28, "word": " main", "probability": 0.9365234375}, {"start": 1134.28, "end": 1134.92, "word": " اتنى", "probability": 0.8551025390625}, {"start": 1134.92, "end": 1135.48, "word": " اذا", "probability": 0.6761474609375}, {"start": 1135.48, "end": 1135.58, "word": " انا", "probability": 0.58880615234375}, {"start": 1135.58, "end": 1135.9, "word": " بروح", "probability": 0.8147786458333334}, {"start": 1135.9, "end": 1136.4, "word": " اعمله", "probability": 0.8538411458333334}, {"start": 1136.4, "end": 1137.0, "word": " الجدول", "probability": 0.8849283854166666}, {"start": 1137.0, "end": 1137.68, "word": " اذا", "probability": 0.876953125}, {"start": 1137.68, "end": 1137.92, "word": " لو", "probability": 0.958984375}, {"start": 1137.92, "end": 1138.2, "word": " روحت", "probability": 0.9440104166666666}, {"start": 1138.2, "end": 1138.76, "word": " اعملسله", "probability": 0.7822265625}, {"start": 1138.76, "end": 1139.32, "word": " الجدول", "probability": 0.9755859375}, {"start": 1139.32, "end": 1139.68, "word": " بدي", "probability": 0.6649169921875}, {"start": 1139.68, "end": 1140.14, "word": " اقوله", "probability": 0.7174479166666666}, {"start": 1140.14, "end": 1140.46, "word": " هنا", "probability": 0.93994140625}, {"start": 1140.46, "end": 1140.62, "word": " ال", "probability": 0.388427734375}, {"start": 1140.62, "end": 1141.32, "word": " derivatives", "probability": 0.93798828125}, {"start": 1141.32, "end": 1142.74, "word": " او", "probability": 0.699462890625}, {"start": 1142.74, "end": 1143.06, "word": " هنا", "probability": 0.9013671875}, {"start": 1143.06, "end": 1143.42, "word": " بدي", "probability": 0.92919921875}, {"start": 1143.42, "end": 1144.04, "word": " اخدله", "probability": 0.8232421875}, {"start": 1144.04, "end": 1144.34, "word": " ال", "probability": 0.97119140625}, {"start": 1144.34, "end": 1145.66, "word": " integrals", "probability": 0.97412109375}], "temperature": 1.0}, {"id": 52, "seek": 116701, "start": 1146.67, "end": 1167.01, "text": "طبعا ال derivative اللي فضلتها هي x تربية و 3x هي ال main بدنا نكاملها لو فضلنا هذه بطلع جداشي 2x لو كاملنا هذه 3 أُس x تقسيم لل 3 لأنها بنكامل تكامل", "tokens": [9566, 3555, 3615, 995, 2423, 13760, 13672, 1829, 6156, 11242, 1211, 2655, 11296, 39896, 2031, 6055, 25513, 10632, 4032, 805, 87, 39896, 2423, 2135, 47525, 8315, 8717, 4117, 10943, 1211, 11296, 45164, 6156, 11242, 1211, 8315, 29538, 4724, 9566, 1211, 3615, 10874, 3215, 33599, 1829, 568, 87, 45164, 9122, 10943, 1211, 8315, 29538, 805, 5551, 10859, 3794, 2031, 6055, 4587, 3794, 32640, 24976, 805, 5296, 33456, 11296, 44945, 4117, 10943, 1211, 6055, 4117, 10943, 1211], "avg_logprob": -0.29749177200229543, "compression_ratio": 1.4878048780487805, "no_speech_prob": 0.0, "words": [{"start": 1146.67, "end": 1147.25, "word": "طبعا", "probability": 0.7188720703125}, {"start": 1147.25, "end": 1148.05, "word": " ال", "probability": 0.68017578125}, {"start": 1148.05, "end": 1148.49, "word": " derivative", "probability": 0.81396484375}, {"start": 1148.49, "end": 1148.89, "word": " اللي", "probability": 0.7734375}, {"start": 1148.89, "end": 1149.75, "word": " فضلتها", "probability": 0.82705078125}, {"start": 1149.75, "end": 1150.01, "word": " هي", "probability": 0.89794921875}, {"start": 1150.01, "end": 1150.47, "word": " x", "probability": 0.69189453125}, {"start": 1150.47, "end": 1150.97, "word": " تربية", "probability": 0.5702311197916666}, {"start": 1150.97, "end": 1151.17, "word": " و", "probability": 0.54638671875}, {"start": 1151.17, "end": 1152.19, "word": " 3x", "probability": 0.659912109375}, {"start": 1152.19, "end": 1152.43, "word": " هي", "probability": 0.96533203125}, {"start": 1152.43, "end": 1152.57, "word": " ال", "probability": 0.64697265625}, {"start": 1152.57, "end": 1152.97, "word": " main", "probability": 0.751953125}, {"start": 1152.97, "end": 1153.75, "word": " بدنا", "probability": 0.782958984375}, {"start": 1153.75, "end": 1154.63, "word": " نكاملها", "probability": 0.94736328125}, {"start": 1154.63, "end": 1155.67, "word": " لو", "probability": 0.5869140625}, {"start": 1155.67, "end": 1156.35, "word": " فضلنا", "probability": 0.89892578125}, {"start": 1156.35, "end": 1156.59, "word": " هذه", "probability": 0.689453125}, {"start": 1156.59, "end": 1156.97, "word": " بطلع", "probability": 0.73675537109375}, {"start": 1156.97, "end": 1157.71, "word": " جداشي", "probability": 0.72723388671875}, {"start": 1157.71, "end": 1159.05, "word": " 2x", "probability": 0.94580078125}, {"start": 1159.05, "end": 1159.77, "word": " لو", "probability": 0.81640625}, {"start": 1159.77, "end": 1160.45, "word": " كاملنا", "probability": 0.9432373046875}, {"start": 1160.45, "end": 1160.77, "word": " هذه", "probability": 0.9365234375}, {"start": 1160.77, "end": 1161.47, "word": " 3", "probability": 0.587890625}, {"start": 1161.47, "end": 1162.01, "word": " أُس", "probability": 0.650634765625}, {"start": 1162.01, "end": 1162.31, "word": " x", "probability": 0.91845703125}, {"start": 1162.31, "end": 1163.59, "word": " تقسيم", "probability": 0.9273681640625}, {"start": 1163.59, "end": 1164.65, "word": " لل", "probability": 0.2861328125}, {"start": 1164.65, "end": 1165.19, "word": " 3", "probability": 0.361328125}, {"start": 1165.19, "end": 1165.61, "word": " لأنها", "probability": 0.7802734375}, {"start": 1165.61, "end": 1166.27, "word": " بنكامل", "probability": 0.78271484375}, {"start": 1166.27, "end": 1167.01, "word": " تكامل", "probability": 0.984130859375}], "temperature": 1.0}, {"id": 53, "seek": 118800, "start": 1167.58, "end": 1188.0, "text": "إن فابل هذه كمان مرة بطلع اتنين، إن كامل هذه كمان مرة واحد على لن التلاتة مقدار ثابت مالوش دعوة، يبقى بدي أكمل تلاتة والست كمان مرة تطلع تلاتة والست على لن تلاتة وعندي لن تلاتة بصير لن تلاتة تربية", "tokens": [28814, 1863, 6156, 16758, 1211, 29538, 9122, 2304, 7649, 3714, 25720, 4724, 9566, 1211, 3615, 1975, 2655, 1863, 9957, 12399, 36145, 9122, 10943, 1211, 29538, 9122, 2304, 7649, 3714, 25720, 36764, 24401, 15844, 5296, 1863, 16712, 1211, 9307, 3660, 3714, 28543, 9640, 38637, 16758, 2655, 3714, 6027, 2407, 8592, 11778, 3615, 2407, 3660, 12399, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 24793, 1211, 6055, 1211, 9307, 3660, 16070, 14851, 9122, 2304, 7649, 3714, 25720, 6055, 9566, 1211, 3615, 6055, 1211, 9307, 3660, 16070, 14851, 15844, 5296, 1863, 6055, 1211, 9307, 3660, 4032, 3615, 1863, 16254, 5296, 1863, 6055, 1211, 9307, 3660, 4724, 9381, 13546, 5296, 1863, 6055, 1211, 9307, 3660, 6055, 25513, 10632], "avg_logprob": -0.19051535466783925, "compression_ratio": 2.1265060240963853, "no_speech_prob": 0.0, "words": [{"start": 1167.58, "end": 1167.88, "word": "إن", "probability": 0.32421875}, {"start": 1167.88, "end": 1168.32, "word": " فابل", "probability": 0.5589192708333334}, {"start": 1168.32, "end": 1168.62, "word": " هذه", "probability": 0.80224609375}, {"start": 1168.62, "end": 1169.1, "word": " كمان", "probability": 0.9562174479166666}, {"start": 1169.1, "end": 1169.48, "word": " مرة", "probability": 0.992431640625}, {"start": 1169.48, "end": 1170.04, "word": " بطلع", "probability": 0.78173828125}, {"start": 1170.04, "end": 1170.78, "word": " اتنين،", "probability": 0.80986328125}, {"start": 1170.78, "end": 1171.24, "word": " إن", "probability": 0.609375}, {"start": 1171.24, "end": 1171.68, "word": " كامل", "probability": 0.9817708333333334}, {"start": 1171.68, "end": 1171.96, "word": " هذه", "probability": 0.9296875}, {"start": 1171.96, "end": 1172.48, "word": " كمان", "probability": 0.99365234375}, {"start": 1172.48, "end": 1172.76, "word": " مرة", "probability": 0.9921875}, {"start": 1172.76, "end": 1173.28, "word": " واحد", "probability": 0.947265625}, {"start": 1173.28, "end": 1173.54, "word": " على", "probability": 0.39111328125}, {"start": 1173.54, "end": 1173.82, "word": " لن", "probability": 0.83544921875}, {"start": 1173.82, "end": 1174.4, "word": " التلاتة", "probability": 0.93603515625}, {"start": 1174.4, "end": 1174.86, "word": " مقدار", "probability": 0.9415690104166666}, {"start": 1174.86, "end": 1175.28, "word": " ثابت", "probability": 0.9920247395833334}, {"start": 1175.28, "end": 1175.66, "word": " مالوش", "probability": 0.66680908203125}, {"start": 1175.66, "end": 1176.48, "word": " دعوة،", "probability": 0.8849609375}, {"start": 1176.48, "end": 1176.72, "word": " يبقى", "probability": 0.73272705078125}, {"start": 1176.72, "end": 1177.0, "word": " بدي", "probability": 0.7451171875}, {"start": 1177.0, "end": 1177.66, "word": " أكمل", "probability": 0.8291015625}, {"start": 1177.66, "end": 1178.28, "word": " تلاتة", "probability": 0.9566650390625}, {"start": 1178.28, "end": 1178.72, "word": " والست", "probability": 0.586181640625}, {"start": 1178.72, "end": 1179.28, "word": " كمان", "probability": 0.9737955729166666}, {"start": 1179.28, "end": 1179.72, "word": " مرة", "probability": 0.99462890625}, {"start": 1179.72, "end": 1180.7, "word": " تطلع", "probability": 0.8365478515625}, {"start": 1180.7, "end": 1181.3, "word": " تلاتة", "probability": 0.9847412109375}, {"start": 1181.3, "end": 1181.76, "word": " والست", "probability": 0.966552734375}, {"start": 1181.76, "end": 1182.2, "word": " على", "probability": 0.76171875}, {"start": 1182.2, "end": 1182.58, "word": " لن", "probability": 0.989013671875}, {"start": 1182.58, "end": 1183.1, "word": " تلاتة", "probability": 0.9796142578125}, {"start": 1183.1, "end": 1183.7, "word": " وعندي", "probability": 0.76373291015625}, {"start": 1183.7, "end": 1184.34, "word": " لن", "probability": 0.9921875}, {"start": 1184.34, "end": 1185.26, "word": " تلاتة", "probability": 0.9892578125}, {"start": 1185.26, "end": 1186.06, "word": " بصير", "probability": 0.9195963541666666}, {"start": 1186.06, "end": 1186.6, "word": " لن", "probability": 0.98779296875}, {"start": 1186.6, "end": 1187.38, "word": " تلاتة", "probability": 0.990234375}, {"start": 1187.38, "end": 1188.0, "word": " تربية", "probability": 0.6630045572916666}], "temperature": 1.0}, {"id": 54, "seek": 120668, "start": 1188.54, "end": 1206.68, "text": "نشتغل كمان مرة Zero نكمل كمان مرة تلاتة والست تقسيم للان تلاتة جداش تكايم هذه الأولى في التانية هذه التانية في التالتة التالتة في الرابعة زائد ناقص زائد", "tokens": [1863, 8592, 2655, 17082, 1211, 9122, 2304, 7649, 3714, 25720, 17182, 8717, 24793, 1211, 9122, 2304, 7649, 3714, 25720, 6055, 1211, 9307, 3660, 16070, 14851, 6055, 4587, 3794, 32640, 24976, 7649, 6055, 1211, 9307, 3660, 10874, 3215, 33599, 6055, 4117, 995, 32640, 29538, 16247, 12610, 7578, 8978, 16712, 7649, 10632, 29538, 16712, 7649, 10632, 8978, 16712, 6027, 2655, 3660, 16712, 6027, 2655, 3660, 8978, 34892, 16758, 27884, 30767, 16373, 3215, 8717, 995, 4587, 9381, 30767, 16373, 3215], "avg_logprob": -0.24358974244350043, "compression_ratio": 1.8445945945945945, "no_speech_prob": 0.0, "words": [{"start": 1188.54, "end": 1189.36, "word": "نشتغل", "probability": 0.8416015625}, {"start": 1189.36, "end": 1189.74, "word": " كمان", "probability": 0.7517903645833334}, {"start": 1189.74, "end": 1190.3, "word": " مرة", "probability": 0.98583984375}, {"start": 1190.3, "end": 1191.06, "word": " Zero", "probability": 0.16357421875}, {"start": 1191.06, "end": 1192.22, "word": " نكمل", "probability": 0.679931640625}, {"start": 1192.22, "end": 1192.74, "word": " كمان", "probability": 0.9435221354166666}, {"start": 1192.74, "end": 1193.28, "word": " مرة", "probability": 0.9873046875}, {"start": 1193.28, "end": 1194.18, "word": " تلاتة", "probability": 0.9273681640625}, {"start": 1194.18, "end": 1194.76, "word": " والست", "probability": 0.37066650390625}, {"start": 1194.76, "end": 1195.86, "word": " تقسيم", "probability": 0.848876953125}, {"start": 1195.86, "end": 1196.36, "word": " للان", "probability": 0.3143310546875}, {"start": 1196.36, "end": 1196.86, "word": " تلاتة", "probability": 0.9144287109375}, {"start": 1196.86, "end": 1197.54, "word": " جداش", "probability": 0.7410481770833334}, {"start": 1197.54, "end": 1198.58, "word": " تكايم", "probability": 0.72772216796875}, {"start": 1198.58, "end": 1199.74, "word": " هذه", "probability": 0.4384765625}, {"start": 1199.74, "end": 1200.44, "word": " الأولى", "probability": 0.9474283854166666}, {"start": 1200.44, "end": 1200.58, "word": " في", "probability": 0.73681640625}, {"start": 1200.58, "end": 1201.28, "word": " التانية", "probability": 0.9501953125}, {"start": 1201.28, "end": 1201.94, "word": " هذه", "probability": 0.455322265625}, {"start": 1201.94, "end": 1202.54, "word": " التانية", "probability": 0.9763997395833334}, {"start": 1202.54, "end": 1202.72, "word": " في", "probability": 0.93359375}, {"start": 1202.72, "end": 1203.34, "word": " التالتة", "probability": 0.93115234375}, {"start": 1203.34, "end": 1203.9, "word": " التالتة", "probability": 0.904541015625}, {"start": 1203.9, "end": 1204.04, "word": " في", "probability": 0.80126953125}, {"start": 1204.04, "end": 1204.7, "word": " الرابعة", "probability": 0.8839518229166666}, {"start": 1204.7, "end": 1205.56, "word": " زائد", "probability": 0.8972981770833334}, {"start": 1205.56, "end": 1206.28, "word": " ناقص", "probability": 0.978759765625}, {"start": 1206.28, "end": 1206.68, "word": " زائد", "probability": 0.9637044270833334}], "temperature": 1.0}, {"id": 55, "seek": 122034, "start": 1207.27, "end": 1220.35, "text": "يبقى نتيجة هذه التكمل على الشكل التالي اللي هو واحد على الان تلاتة في X تربية في تلاتة أُص X", "tokens": [1829, 3555, 4587, 7578, 8717, 31371, 7435, 3660, 29538, 16712, 24793, 1211, 15844, 25124, 28820, 16712, 6027, 1829, 13672, 1829, 31439, 36764, 24401, 15844, 2423, 7649, 6055, 1211, 9307, 3660, 8978, 1783, 6055, 2288, 21292, 3660, 8978, 6055, 1211, 9307, 3660, 5551, 10859, 9381, 1783], "avg_logprob": -0.21637228520020194, "compression_ratio": 1.4553571428571428, "no_speech_prob": 0.0, "words": [{"start": 1207.27, "end": 1207.79, "word": "يبقى", "probability": 0.9193115234375}, {"start": 1207.79, "end": 1208.35, "word": " نتيجة", "probability": 0.9840087890625}, {"start": 1208.35, "end": 1208.63, "word": " هذه", "probability": 0.7939453125}, {"start": 1208.63, "end": 1209.33, "word": " التكمل", "probability": 0.8382161458333334}, {"start": 1209.33, "end": 1209.57, "word": " على", "probability": 0.92578125}, {"start": 1209.57, "end": 1210.23, "word": " الشكل", "probability": 0.97509765625}, {"start": 1210.23, "end": 1211.15, "word": " التالي", "probability": 0.9591471354166666}, {"start": 1211.15, "end": 1212.07, "word": " اللي", "probability": 0.707763671875}, {"start": 1212.07, "end": 1212.27, "word": " هو", "probability": 0.990234375}, {"start": 1212.27, "end": 1212.91, "word": " واحد", "probability": 0.67578125}, {"start": 1212.91, "end": 1213.61, "word": " على", "probability": 0.79833984375}, {"start": 1213.61, "end": 1214.13, "word": " الان", "probability": 0.578857421875}, {"start": 1214.13, "end": 1215.43, "word": " تلاتة", "probability": 0.8536376953125}, {"start": 1215.43, "end": 1215.91, "word": " في", "probability": 0.8056640625}, {"start": 1215.91, "end": 1216.27, "word": " X", "probability": 0.38720703125}, {"start": 1216.27, "end": 1217.33, "word": " تربية", "probability": 0.639892578125}, {"start": 1217.33, "end": 1217.75, "word": " في", "probability": 0.9580078125}, {"start": 1217.75, "end": 1219.19, "word": " تلاتة", "probability": 0.9727783203125}, {"start": 1219.19, "end": 1219.77, "word": " أُص", "probability": 0.71435546875}, {"start": 1219.77, "end": 1220.35, "word": " X", "probability": 0.97509765625}], "temperature": 1.0}, {"id": 56, "seek": 123676, "start": 1222.86, "end": 1236.76, "text": "جينا لبعديها ناقص اتنين على لن تلاتة لكل تربية اتنين على لن تلاتة لكل تربية في X في تلاتة و سكس", "tokens": [7435, 1829, 8315, 5296, 3555, 3615, 16254, 11296, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 15844, 5296, 1863, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632, 1975, 2655, 1863, 9957, 15844, 5296, 1863, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632, 8978, 1783, 8978, 6055, 1211, 9307, 3660, 4032, 8608, 4117, 3794], "avg_logprob": -0.24121093430689403, "compression_ratio": 1.8369565217391304, "no_speech_prob": 0.0, "words": [{"start": 1222.86, "end": 1223.24, "word": "جينا", "probability": 0.355712890625}, {"start": 1223.24, "end": 1223.92, "word": " لبعديها", "probability": 0.780517578125}, {"start": 1223.92, "end": 1225.04, "word": " ناقص", "probability": 0.935546875}, {"start": 1225.04, "end": 1226.04, "word": " اتنين", "probability": 0.91357421875}, {"start": 1226.04, "end": 1226.84, "word": " على", "probability": 0.71728515625}, {"start": 1226.84, "end": 1227.38, "word": " لن", "probability": 0.69189453125}, {"start": 1227.38, "end": 1228.36, "word": " تلاتة", "probability": 0.9317626953125}, {"start": 1228.36, "end": 1228.84, "word": " لكل", "probability": 0.889892578125}, {"start": 1228.84, "end": 1229.82, "word": " تربية", "probability": 0.8218587239583334}, {"start": 1229.82, "end": 1231.04, "word": " اتنين", "probability": 0.85443115234375}, {"start": 1231.04, "end": 1231.32, "word": " على", "probability": 0.79345703125}, {"start": 1231.32, "end": 1231.72, "word": " لن", "probability": 0.990966796875}, {"start": 1231.72, "end": 1232.24, "word": " تلاتة", "probability": 0.9876708984375}, {"start": 1232.24, "end": 1232.56, "word": " لكل", "probability": 0.98828125}, {"start": 1232.56, "end": 1233.18, "word": " تربية", "probability": 0.97802734375}, {"start": 1233.18, "end": 1233.52, "word": " في", "probability": 0.9365234375}, {"start": 1233.52, "end": 1234.06, "word": " X", "probability": 0.318115234375}, {"start": 1234.06, "end": 1234.7, "word": " في", "probability": 0.9267578125}, {"start": 1234.7, "end": 1235.88, "word": " تلاتة", "probability": 0.9696044921875}, {"start": 1235.88, "end": 1236.02, "word": " و", "probability": 0.9326171875}, {"start": 1236.02, "end": 1236.76, "word": " سكس", "probability": 0.6055094401041666}], "temperature": 1.0}, {"id": 57, "seek": 125369, "start": 1238.25, "end": 1253.69, "text": "زائد ال term التالت لهولي اتنية على لين تلاتة الكل تكيب في مين في تلاتة و سكس و بنروح نضيف مين ال constant اللي عندنا هذا", "tokens": [11622, 16373, 3215, 2423, 1433, 16712, 6027, 2655, 46740, 12610, 1829, 1975, 2655, 1863, 10632, 15844, 5296, 9957, 6055, 1211, 9307, 3660, 2423, 28820, 6055, 4117, 1829, 3555, 8978, 3714, 9957, 8978, 6055, 1211, 9307, 3660, 4032, 8608, 4117, 3794, 4032, 44945, 32887, 5016, 8717, 11242, 33911, 3714, 9957, 2423, 5754, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.32291667921501294, "compression_ratio": 1.4855072463768115, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1238.25, "end": 1239.17, "word": "زائد", "probability": 0.6079915364583334}, {"start": 1239.17, "end": 1239.55, "word": " ال", "probability": 0.46923828125}, {"start": 1239.55, "end": 1239.85, "word": " term", "probability": 0.83984375}, {"start": 1239.85, "end": 1240.59, "word": " التالت", "probability": 0.9283854166666666}, {"start": 1240.59, "end": 1241.39, "word": " لهولي", "probability": 0.6037190755208334}, {"start": 1241.39, "end": 1242.19, "word": " اتنية", "probability": 0.6671142578125}, {"start": 1242.19, "end": 1243.21, "word": " على", "probability": 0.63671875}, {"start": 1243.21, "end": 1243.65, "word": " لين", "probability": 0.617919921875}, {"start": 1243.65, "end": 1244.45, "word": " تلاتة", "probability": 0.95458984375}, {"start": 1244.45, "end": 1244.95, "word": " الكل", "probability": 0.6591796875}, {"start": 1244.95, "end": 1245.97, "word": " تكيب", "probability": 0.9241943359375}, {"start": 1245.97, "end": 1246.49, "word": " في", "probability": 0.87255859375}, {"start": 1246.49, "end": 1246.89, "word": " مين", "probability": 0.632080078125}, {"start": 1246.89, "end": 1247.21, "word": " في", "probability": 0.68359375}, {"start": 1247.21, "end": 1248.13, "word": " تلاتة", "probability": 0.950439453125}, {"start": 1248.13, "end": 1248.29, "word": " و", "probability": 0.5517578125}, {"start": 1248.29, "end": 1248.83, "word": " سكس", "probability": 0.53125}, {"start": 1248.83, "end": 1249.27, "word": " و", "probability": 0.626953125}, {"start": 1249.27, "end": 1249.67, "word": " بنروح", "probability": 0.789306640625}, {"start": 1249.67, "end": 1250.05, "word": " نضيف", "probability": 0.8359375}, {"start": 1250.05, "end": 1250.47, "word": " مين", "probability": 0.9130859375}, {"start": 1250.47, "end": 1251.09, "word": " ال", "probability": 0.9541015625}, {"start": 1251.09, "end": 1251.65, "word": " constant", "probability": 0.89306640625}, {"start": 1251.65, "end": 1252.47, "word": " اللي", "probability": 0.924072265625}, {"start": 1252.47, "end": 1253.11, "word": " عندنا", "probability": 0.941162109375}, {"start": 1253.11, "end": 1253.69, "word": " هذا", "probability": 0.95703125}], "temperature": 1.0}, {"id": 58, "seek": 128560, "start": 1256.75, "end": 1285.61, "text": "خلاصنا النقطة الأولى من هذا ال section بدنا نروح للنقطة الثانية النقطة الثانية أحيانا ماجيش أستخدم integration by parts مباشرة ربما هضطر أعمل تعويضة قبل إيه قبل اللي هو عملية ال integration by parts يعني ليس بالضرورة مباشرة كيف كانت تالية؟ بدي أكتب هذا كمان في الملاحظة التالية remark", "tokens": [9778, 1211, 33546, 8315, 28239, 47432, 3660, 16247, 12610, 7578, 9154, 23758, 2423, 3541, 47525, 8315, 8717, 32887, 5016, 24976, 1863, 47432, 3660, 6024, 104, 7649, 10632, 28239, 47432, 3660, 6024, 104, 7649, 10632, 5551, 5016, 1829, 7649, 995, 3714, 26108, 1829, 8592, 5551, 14851, 9778, 40448, 10980, 538, 3166, 3714, 3555, 33599, 25720, 12602, 3555, 15042, 8032, 11242, 9566, 2288, 5551, 25957, 1211, 37279, 45865, 11242, 3660, 12174, 36150, 11933, 1829, 3224, 12174, 36150, 13672, 1829, 31439, 6225, 42213, 10632, 2423, 10980, 538, 3166, 37495, 22653, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 3714, 3555, 33599, 25720, 9122, 33911, 25961, 2655, 6055, 6027, 10632, 22807, 4724, 16254, 5551, 4117, 2655, 3555, 23758, 9122, 2304, 7649, 8978, 9673, 15040, 5016, 19913, 3660, 16712, 6027, 10632, 7942], "avg_logprob": -0.14357775520151994, "compression_ratio": 1.869047619047619, "no_speech_prob": 0.0, "words": [{"start": 1256.75, "end": 1257.43, "word": "خلاصنا", "probability": 0.814453125}, {"start": 1257.43, "end": 1257.87, "word": " النقطة", "probability": 0.96630859375}, {"start": 1257.87, "end": 1258.21, "word": " الأولى", "probability": 0.9464518229166666}, {"start": 1258.21, "end": 1258.35, "word": " من", "probability": 0.955078125}, {"start": 1258.35, "end": 1258.67, "word": " هذا", "probability": 0.6103515625}, {"start": 1258.67, "end": 1258.77, "word": " ال", "probability": 0.72314453125}, {"start": 1258.77, "end": 1259.05, "word": " section", "probability": 0.7099609375}, {"start": 1259.05, "end": 1259.43, "word": " بدنا", "probability": 0.765869140625}, {"start": 1259.43, "end": 1259.73, "word": " نروح", "probability": 0.9619140625}, {"start": 1259.73, "end": 1260.49, "word": " للنقطة", "probability": 0.9310302734375}, {"start": 1260.49, "end": 1261.11, "word": " الثانية", "probability": 0.9512939453125}, {"start": 1261.11, "end": 1262.29, "word": " النقطة", "probability": 0.9806315104166666}, {"start": 1262.29, "end": 1262.67, "word": " الثانية", "probability": 0.963134765625}, {"start": 1262.67, "end": 1263.55, "word": " أحيانا", "probability": 0.95703125}, {"start": 1263.55, "end": 1264.99, "word": " ماجيش", "probability": 0.694122314453125}, {"start": 1264.99, "end": 1265.57, "word": " أستخدم", "probability": 0.857666015625}, {"start": 1265.57, "end": 1266.05, "word": " integration", "probability": 0.9619140625}, {"start": 1266.05, "end": 1266.41, "word": " by", "probability": 0.8984375}, {"start": 1266.41, "end": 1266.77, "word": " parts", "probability": 0.9150390625}, {"start": 1266.77, "end": 1267.79, "word": " مباشرة", "probability": 0.9874267578125}, {"start": 1267.79, "end": 1269.25, "word": " ربما", "probability": 0.9637044270833334}, {"start": 1269.25, "end": 1270.83, "word": " هضطر", "probability": 0.71075439453125}, {"start": 1270.83, "end": 1271.39, "word": " أعمل", "probability": 0.923828125}, {"start": 1271.39, "end": 1272.51, "word": " تعويضة", "probability": 0.9091796875}, {"start": 1272.51, "end": 1272.93, "word": " قبل", "probability": 0.780517578125}, {"start": 1272.93, "end": 1273.39, "word": " إيه", "probability": 0.753173828125}, {"start": 1273.39, "end": 1274.43, "word": " قبل", "probability": 0.8994140625}, {"start": 1274.43, "end": 1275.05, "word": " اللي", "probability": 0.818359375}, {"start": 1275.05, "end": 1275.31, "word": " هو", "probability": 0.98046875}, {"start": 1275.31, "end": 1275.87, "word": " عملية", "probability": 0.99072265625}, {"start": 1275.87, "end": 1276.11, "word": " ال", "probability": 0.97119140625}, {"start": 1276.11, "end": 1276.75, "word": " integration", "probability": 0.97216796875}, {"start": 1276.75, "end": 1277.53, "word": " by", "probability": 0.94921875}, {"start": 1277.53, "end": 1278.25, "word": " parts", "probability": 0.9169921875}, {"start": 1278.25, "end": 1278.85, "word": " يعني", "probability": 0.9677734375}, {"start": 1278.85, "end": 1279.21, "word": " ليس", "probability": 0.9140625}, {"start": 1279.21, "end": 1279.85, "word": " بالضرورة", "probability": 0.97412109375}, {"start": 1279.85, "end": 1280.45, "word": " مباشرة", "probability": 0.9913330078125}, {"start": 1280.45, "end": 1281.13, "word": " كيف", "probability": 0.9072265625}, {"start": 1281.13, "end": 1281.47, "word": " كانت", "probability": 0.67333984375}, {"start": 1281.47, "end": 1282.19, "word": " تالية؟", "probability": 0.756103515625}, {"start": 1282.19, "end": 1282.41, "word": " بدي", "probability": 0.67333984375}, {"start": 1282.41, "end": 1282.83, "word": " أكتب", "probability": 0.9290771484375}, {"start": 1282.83, "end": 1283.17, "word": " هذا", "probability": 0.9560546875}, {"start": 1283.17, "end": 1283.63, "word": " كمان", "probability": 0.966796875}, {"start": 1283.63, "end": 1283.81, "word": " في", "probability": 0.9482421875}, {"start": 1283.81, "end": 1284.53, "word": " الملاحظة", "probability": 0.89306640625}, {"start": 1284.53, "end": 1285.15, "word": " التالية", "probability": 0.99560546875}, {"start": 1285.15, "end": 1285.61, "word": " remark", "probability": 0.56884765625}], "temperature": 1.0}, {"id": 59, "seek": 131804, "start": 1307.54, "end": 1318.04, "text": "أحيانا نستخدم التعويض ومن ثم نستخدم", "tokens": [10721, 5016, 1829, 7649, 995, 8717, 14851, 9778, 40448, 16712, 3615, 45865, 11242, 4032, 27842, 38637, 2304, 8717, 14851, 9778, 40448], "avg_logprob": -0.3137429099191319, "compression_ratio": 1.1206896551724137, "no_speech_prob": 0.0, "words": [{"start": 1307.5399999999997, "end": 1308.9399999999998, "word": "أحيانا", "probability": 0.7925750732421875}, {"start": 1308.9399999999998, "end": 1310.34, "word": " نستخدم", "probability": 0.7772216796875}, {"start": 1310.34, "end": 1311.4, "word": " التعويض", "probability": 0.88720703125}, {"start": 1311.4, "end": 1315.0, "word": " ومن", "probability": 0.670654296875}, {"start": 1315.0, "end": 1315.8, "word": " ثم", "probability": 0.9677734375}, {"start": 1315.8, "end": 1318.04, "word": " نستخدم", "probability": 0.9720458984375}], "temperature": 1.0}, {"id": 60, "seek": 134826, "start": 1319.64, "end": 1348.26, "text": "نستخدم integration by parts ومن ثم بروح نستخدم التكامل بالتجزير نعطي مثال example احسبلي تكاملات التالية", "tokens": [1863, 14851, 9778, 40448, 10980, 538, 3166, 4032, 27842, 38637, 2304, 4724, 32887, 5016, 8717, 14851, 9778, 40448, 16712, 4117, 10943, 1211, 20666, 2655, 7435, 11622, 13546, 8717, 3615, 9566, 1829, 50113, 6027, 1365, 1975, 5016, 35457, 20292, 6055, 4117, 10943, 1211, 9307, 16712, 6027, 10632], "avg_logprob": -0.12890625253636787, "compression_ratio": 1.302325581395349, "no_speech_prob": 0.0, "words": [{"start": 1319.64, "end": 1320.68, "word": "نستخدم", "probability": 0.84637451171875}, {"start": 1320.68, "end": 1321.66, "word": " integration", "probability": 0.79833984375}, {"start": 1321.66, "end": 1322.26, "word": " by", "probability": 0.93408203125}, {"start": 1322.26, "end": 1322.96, "word": " parts", "probability": 0.91259765625}, {"start": 1322.96, "end": 1331.2, "word": " ومن", "probability": 0.83251953125}, {"start": 1331.2, "end": 1331.5, "word": " ثم", "probability": 0.95068359375}, {"start": 1331.5, "end": 1331.94, "word": " بروح", "probability": 0.7408854166666666}, {"start": 1331.94, "end": 1332.6, "word": " نستخدم", "probability": 0.9844970703125}, {"start": 1332.6, "end": 1334.04, "word": " التكامل", "probability": 0.9688720703125}, {"start": 1334.04, "end": 1335.3, "word": " بالتجزير", "probability": 0.86826171875}, {"start": 1335.3, "end": 1337.02, "word": " نعطي", "probability": 0.956298828125}, {"start": 1337.02, "end": 1337.68, "word": " مثال", "probability": 0.953369140625}, {"start": 1337.68, "end": 1342.18, "word": " example", "probability": 0.7236328125}, {"start": 1342.18, "end": 1345.4, "word": " احسبلي", "probability": 0.84521484375}, {"start": 1345.4, "end": 1347.42, "word": " تكاملات", "probability": 0.95244140625}, {"start": 1347.42, "end": 1348.26, "word": " التالية", "probability": 0.8590494791666666}], "temperature": 1.0}, {"id": 61, "seek": 136949, "start": 1359.33, "end": 1369.49, "text": "أول تكامل من هذه التكاملات تكامل X لأن X كل تربيع DX", "tokens": [10721, 12610, 6055, 4117, 10943, 1211, 9154, 29538, 16712, 4117, 10943, 1211, 9307, 6055, 4117, 10943, 1211, 1783, 5296, 33456, 1783, 28242, 6055, 2288, 21292, 3615, 48817], "avg_logprob": -0.18875557876058988, "compression_ratio": 1.2361111111111112, "no_speech_prob": 0.0, "words": [{"start": 1359.33, "end": 1359.75, "word": "أول", "probability": 0.83056640625}, {"start": 1359.75, "end": 1360.31, "word": " تكامل", "probability": 0.9598388671875}, {"start": 1360.31, "end": 1360.49, "word": " من", "probability": 0.92041015625}, {"start": 1360.49, "end": 1360.79, "word": " هذه", "probability": 0.94677734375}, {"start": 1360.79, "end": 1361.81, "word": " التكاملات", "probability": 0.990625}, {"start": 1361.81, "end": 1363.33, "word": " تكامل", "probability": 0.9451904296875}, {"start": 1363.33, "end": 1364.11, "word": " X", "probability": 0.381103515625}, {"start": 1364.11, "end": 1365.23, "word": " لأن", "probability": 0.74169921875}, {"start": 1365.23, "end": 1365.99, "word": " X", "probability": 0.787109375}, {"start": 1365.99, "end": 1367.13, "word": " كل", "probability": 0.50146484375}, {"start": 1367.13, "end": 1368.43, "word": " تربيع", "probability": 0.8109130859375}, {"start": 1368.43, "end": 1369.49, "word": " DX", "probability": 0.51806640625}], "temperature": 1.0}, {"id": 62, "seek": 139602, "start": 1376.24, "end": 1396.02, "text": "لا يبقى الواضح إذا بدأ أخد يو بدأ أخد المقدار هذا لكن لما أجى الشق بصير اتنين لإن ال X في واحدة على X وهذه كمان X تبقى تتكلك على المثل شوية لكن لو جيت لهذه الدالية اللى قلت اللى مصعبة شوية هيك هو مين؟", "tokens": [15040, 7251, 3555, 4587, 7578, 2423, 2407, 46958, 5016, 11933, 15730, 47525, 10721, 5551, 9778, 3215, 7251, 2407, 47525, 10721, 5551, 9778, 3215, 9673, 28543, 9640, 23758, 44381, 5296, 15042, 5551, 7435, 7578, 25124, 4587, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 5296, 28814, 1863, 2423, 1783, 8978, 36764, 24401, 3660, 15844, 1783, 37037, 24192, 9122, 2304, 7649, 1783, 6055, 3555, 4587, 7578, 6055, 2655, 28820, 4117, 15844, 9673, 12984, 1211, 13412, 2407, 10632, 44381, 45164, 10874, 36081, 46740, 24192, 32748, 6027, 10632, 13672, 7578, 12174, 1211, 2655, 13672, 7578, 3714, 9381, 3615, 49401, 13412, 2407, 10632, 39896, 4117, 31439, 3714, 9957, 22807], "avg_logprob": -0.3269230688993747, "compression_ratio": 1.8385416666666667, "no_speech_prob": 0.0, "words": [{"start": 1376.24, "end": 1376.46, "word": "لا", "probability": 0.12481689453125}, {"start": 1376.46, "end": 1376.6, "word": " يبقى", "probability": 0.6378173828125}, {"start": 1376.6, "end": 1377.04, "word": " الواضح", "probability": 0.7872314453125}, {"start": 1377.04, "end": 1377.24, "word": " إذا", "probability": 0.6092529296875}, {"start": 1377.24, "end": 1378.72, "word": " بدأ", "probability": 0.5267333984375}, {"start": 1378.72, "end": 1379.08, "word": " أخد", "probability": 0.72216796875}, {"start": 1379.08, "end": 1379.32, "word": " يو", "probability": 0.32830810546875}, {"start": 1379.32, "end": 1379.66, "word": " بدأ", "probability": 0.755615234375}, {"start": 1379.66, "end": 1379.9, "word": " أخد", "probability": 0.9602864583333334}, {"start": 1379.9, "end": 1380.5, "word": " المقدار", "probability": 0.8645833333333334}, {"start": 1380.5, "end": 1380.8, "word": " هذا", "probability": 0.93115234375}, {"start": 1380.8, "end": 1381.58, "word": " لكن", "probability": 0.465576171875}, {"start": 1381.58, "end": 1381.84, "word": " لما", "probability": 0.7890625}, {"start": 1381.84, "end": 1382.16, "word": " أجى", "probability": 0.4711100260416667}, {"start": 1382.16, "end": 1382.5, "word": " الشق", "probability": 0.843505859375}, {"start": 1382.5, "end": 1383.0, "word": " بصير", "probability": 0.9402669270833334}, {"start": 1383.0, "end": 1383.54, "word": " اتنين", "probability": 0.862060546875}, {"start": 1383.54, "end": 1383.94, "word": " لإن", "probability": 0.8736979166666666}, {"start": 1383.94, "end": 1384.12, "word": " ال", "probability": 0.89111328125}, {"start": 1384.12, "end": 1384.36, "word": " X", "probability": 0.62646484375}, {"start": 1384.36, "end": 1384.58, "word": " في", "probability": 0.9013671875}, {"start": 1384.58, "end": 1385.22, "word": " واحدة", "probability": 0.7657877604166666}, {"start": 1385.22, "end": 1385.46, "word": " على", "probability": 0.74658203125}, {"start": 1385.46, "end": 1385.86, "word": " X", "probability": 0.98486328125}, {"start": 1385.86, "end": 1386.7, "word": " وهذه", "probability": 0.48974609375}, {"start": 1386.7, "end": 1386.96, "word": " كمان", "probability": 0.9044596354166666}, {"start": 1386.96, "end": 1387.16, "word": " X", "probability": 0.6806640625}, {"start": 1387.16, "end": 1387.42, "word": " تبقى", "probability": 0.6446533203125}, {"start": 1387.42, "end": 1388.14, "word": " تتكلك", "probability": 0.8057861328125}, {"start": 1388.14, "end": 1388.28, "word": " على", "probability": 0.650390625}, {"start": 1388.28, "end": 1388.74, "word": " المثل", "probability": 0.8717447916666666}, {"start": 1388.74, "end": 1389.3, "word": " شوية", "probability": 0.91943359375}, {"start": 1389.3, "end": 1389.86, "word": " لكن", "probability": 0.59228515625}, {"start": 1389.86, "end": 1390.86, "word": " لو", "probability": 0.8974609375}, {"start": 1390.86, "end": 1391.14, "word": " جيت", "probability": 0.86083984375}, {"start": 1391.14, "end": 1391.56, "word": " لهذه", "probability": 0.644775390625}, {"start": 1391.56, "end": 1392.14, "word": " الدالية", "probability": 0.8388671875}, {"start": 1392.14, "end": 1392.78, "word": " اللى", "probability": 0.77880859375}, {"start": 1392.78, "end": 1393.12, "word": " قلت", "probability": 0.8014322916666666}, {"start": 1393.12, "end": 1393.4, "word": " اللى", "probability": 0.911865234375}, {"start": 1393.4, "end": 1394.34, "word": " مصعبة", "probability": 0.849609375}, {"start": 1394.34, "end": 1394.88, "word": " شوية", "probability": 0.8614908854166666}, {"start": 1394.88, "end": 1395.18, "word": " هيك", "probability": 0.7919921875}, {"start": 1395.18, "end": 1395.34, "word": " هو", "probability": 0.77197265625}, {"start": 1395.34, "end": 1396.02, "word": " مين؟", "probability": 0.86962890625}], "temperature": 1.0}, {"id": 63, "seek": 142566, "start": 1396.56, "end": 1425.66, "text": "إذا بدي أشيل لن ال X و أضعه بأي variable أخر إذا لو قلت حطلي T تساوي لن ال X بالذنب لنا مين؟ ال D X لذلك بدي أتخلص من لن و أخلي ال X لحالها في شجة يبقى لو جت أتخلص منها بصير عند مين؟ E أُس T يساوي E أُس لن ال X اللي هو بمين؟ ب X", "tokens": [28814, 15730, 4724, 16254, 5551, 8592, 26895, 5296, 1863, 2423, 1783, 4032, 5551, 11242, 3615, 3224, 4724, 10721, 1829, 7006, 5551, 34740, 11933, 15730, 45164, 12174, 1211, 2655, 11331, 9566, 20292, 314, 6055, 3794, 995, 45865, 5296, 1863, 2423, 1783, 20666, 8848, 1863, 3555, 5296, 8315, 3714, 9957, 22807, 2423, 413, 1783, 5296, 8848, 23275, 4724, 16254, 5551, 2655, 9778, 1211, 9381, 9154, 5296, 1863, 4032, 5551, 9778, 20292, 2423, 1783, 5296, 5016, 6027, 11296, 8978, 13412, 7435, 3660, 7251, 3555, 4587, 7578, 45164, 10874, 2655, 5551, 2655, 9778, 1211, 9381, 9154, 11296, 4724, 9381, 13546, 43242, 3714, 9957, 22807, 462, 5551, 10859, 3794, 314, 7251, 3794, 995, 45865, 462, 5551, 10859, 3794, 5296, 1863, 2423, 1783, 13672, 1829, 31439, 4724, 2304, 9957, 22807, 4724, 1783], "avg_logprob": -0.2930610292539822, "compression_ratio": 1.7830188679245282, "no_speech_prob": 0.0, "words": [{"start": 1396.56, "end": 1396.86, "word": "إذا", "probability": 0.491424560546875}, {"start": 1396.86, "end": 1397.1, "word": " بدي", "probability": 0.42144775390625}, {"start": 1397.1, "end": 1397.44, "word": " أشيل", "probability": 0.6221516927083334}, {"start": 1397.44, "end": 1397.8, "word": " لن", "probability": 0.669189453125}, {"start": 1397.8, "end": 1397.96, "word": " ال", "probability": 0.37158203125}, {"start": 1397.96, "end": 1398.18, "word": " X", "probability": 0.48828125}, {"start": 1398.18, "end": 1398.38, "word": " و", "probability": 0.892578125}, {"start": 1398.38, "end": 1398.8, "word": " أضعه", "probability": 0.71307373046875}, {"start": 1398.8, "end": 1399.22, "word": " بأي", "probability": 0.60400390625}, {"start": 1399.22, "end": 1399.72, "word": " variable", "probability": 0.55322265625}, {"start": 1399.72, "end": 1400.34, "word": " أخر", "probability": 0.7054443359375}, {"start": 1400.34, "end": 1400.8, "word": " إذا", "probability": 0.7244873046875}, {"start": 1400.8, "end": 1401.64, "word": " لو", "probability": 0.90771484375}, {"start": 1401.64, "end": 1401.98, "word": " قلت", "probability": 0.9645182291666666}, {"start": 1401.98, "end": 1402.94, "word": " حطلي", "probability": 0.5191243489583334}, {"start": 1402.94, "end": 1403.64, "word": " T", "probability": 0.83447265625}, {"start": 1403.64, "end": 1404.76, "word": " تساوي", "probability": 0.760894775390625}, {"start": 1404.76, "end": 1405.4, "word": " لن", "probability": 0.97216796875}, {"start": 1405.4, "end": 1405.66, "word": " ال", "probability": 0.654296875}, {"start": 1405.66, "end": 1406.14, "word": " X", "probability": 0.97509765625}, {"start": 1406.14, "end": 1407.92, "word": " بالذنب", "probability": 0.607666015625}, {"start": 1407.92, "end": 1408.22, "word": " لنا", "probability": 0.565673828125}, {"start": 1408.22, "end": 1409.16, "word": " مين؟", "probability": 0.7166341145833334}, {"start": 1409.16, "end": 1409.38, "word": " ال", "probability": 0.6474609375}, {"start": 1409.38, "end": 1409.54, "word": " D", "probability": 0.59765625}, {"start": 1409.54, "end": 1409.98, "word": " X", "probability": 0.386474609375}, {"start": 1409.98, "end": 1410.9, "word": " لذلك", "probability": 0.9436848958333334}, {"start": 1410.9, "end": 1411.18, "word": " بدي", "probability": 0.91552734375}, {"start": 1411.18, "end": 1411.94, "word": " أتخلص", "probability": 0.95087890625}, {"start": 1411.94, "end": 1412.14, "word": " من", "probability": 0.98876953125}, {"start": 1412.14, "end": 1412.5, "word": " لن", "probability": 0.7283935546875}, {"start": 1412.5, "end": 1412.64, "word": " و", "probability": 0.7392578125}, {"start": 1412.64, "end": 1413.14, "word": " أخلي", "probability": 0.6288248697916666}, {"start": 1413.14, "end": 1413.32, "word": " ال", "probability": 0.7060546875}, {"start": 1413.32, "end": 1413.64, "word": " X", "probability": 0.9931640625}, {"start": 1413.64, "end": 1414.32, "word": " لحالها", "probability": 0.8443603515625}, {"start": 1414.32, "end": 1414.5, "word": " في", "probability": 0.970703125}, {"start": 1414.5, "end": 1415.04, "word": " شجة", "probability": 0.9453125}, {"start": 1415.04, "end": 1415.96, "word": " يبقى", "probability": 0.94970703125}, {"start": 1415.96, "end": 1416.2, "word": " لو", "probability": 0.9521484375}, {"start": 1416.2, "end": 1416.44, "word": " جت", "probability": 0.72900390625}, {"start": 1416.44, "end": 1417.14, "word": " أتخلص", "probability": 0.87412109375}, {"start": 1417.14, "end": 1417.48, "word": " منها", "probability": 0.8515625}, {"start": 1417.48, "end": 1417.9, "word": " بصير", "probability": 0.7510579427083334}, {"start": 1417.9, "end": 1418.22, "word": " عند", "probability": 0.93408203125}, {"start": 1418.22, "end": 1419.04, "word": " مين؟", "probability": 0.8717447916666666}, {"start": 1419.04, "end": 1419.52, "word": " E", "probability": 0.9189453125}, {"start": 1419.52, "end": 1420.32, "word": " أُس", "probability": 0.7265625}, {"start": 1420.32, "end": 1420.72, "word": " T", "probability": 0.96435546875}, {"start": 1420.72, "end": 1421.96, "word": " يساوي", "probability": 0.8917236328125}, {"start": 1421.96, "end": 1422.58, "word": " E", "probability": 0.9013671875}, {"start": 1422.58, "end": 1423.14, "word": " أُس", "probability": 0.9641927083333334}, {"start": 1423.14, "end": 1423.46, "word": " لن", "probability": 0.98681640625}, {"start": 1423.46, "end": 1423.64, "word": " ال", "probability": 0.7802734375}, {"start": 1423.64, "end": 1423.82, "word": " X", "probability": 0.98486328125}, {"start": 1423.82, "end": 1423.96, "word": " اللي", "probability": 0.7880859375}, {"start": 1423.96, "end": 1424.1, "word": " هو", "probability": 0.9951171875}, {"start": 1424.1, "end": 1424.78, "word": " بمين؟", "probability": 0.9014892578125}, {"start": 1424.78, "end": 1425.28, "word": " ب", "probability": 0.8037109375}, {"start": 1425.28, "end": 1425.66, "word": " X", "probability": 0.7890625}], "temperature": 1.0}, {"id": 64, "seek": 145519, "start": 1426.29, "end": 1455.19, "text": "طبعا الحين بشتقها بكون جيب DX إذا لو جينا اشتقنا بصير E أس T DT بده يسوى ميهم DX إذا المسألة هذه أصبحت على الشكل التالي بده أشيل ال X و أحط مكانها E أس T و أشيل لنه ال X و أحط مكانها T تربيه و ال DX اللي هو E أس T DT", "tokens": [9566, 3555, 3615, 995, 21542, 9957, 4724, 8592, 2655, 4587, 11296, 4724, 30544, 10874, 1829, 3555, 48817, 11933, 15730, 45164, 10874, 1829, 8315, 1975, 8592, 2655, 4587, 8315, 4724, 9381, 13546, 462, 5551, 3794, 314, 413, 51, 47525, 3224, 7251, 3794, 2407, 7578, 3714, 1829, 16095, 48817, 11933, 15730, 9673, 3794, 10721, 37977, 29538, 5551, 9381, 3555, 33753, 15844, 25124, 28820, 16712, 6027, 1829, 47525, 3224, 5551, 8592, 26895, 2423, 1783, 4032, 5551, 5016, 9566, 3714, 41361, 11296, 462, 5551, 3794, 314, 4032, 5551, 8592, 26895, 5296, 1863, 3224, 2423, 1783, 4032, 5551, 5016, 9566, 3714, 41361, 11296, 314, 6055, 2288, 21292, 3224, 4032, 2423, 48817, 13672, 1829, 31439, 462, 5551, 3794, 314, 413, 51], "avg_logprob": -0.28232759571280974, "compression_ratio": 1.8601036269430051, "no_speech_prob": 0.0, "words": [{"start": 1426.29, "end": 1426.87, "word": "طبعا", "probability": 0.7267608642578125}, {"start": 1426.87, "end": 1427.81, "word": " الحين", "probability": 0.5616455078125}, {"start": 1427.81, "end": 1428.57, "word": " بشتقها", "probability": 0.5939453125}, {"start": 1428.57, "end": 1428.93, "word": " بكون", "probability": 0.4901123046875}, {"start": 1428.93, "end": 1429.27, "word": " جيب", "probability": 0.81982421875}, {"start": 1429.27, "end": 1429.75, "word": " DX", "probability": 0.68603515625}, {"start": 1429.75, "end": 1430.41, "word": " إذا", "probability": 0.795166015625}, {"start": 1430.41, "end": 1430.65, "word": " لو", "probability": 0.9609375}, {"start": 1430.65, "end": 1430.91, "word": " جينا", "probability": 0.9729817708333334}, {"start": 1430.91, "end": 1431.55, "word": " اشتقنا", "probability": 0.85361328125}, {"start": 1431.55, "end": 1432.09, "word": " بصير", "probability": 0.8758138020833334}, {"start": 1432.09, "end": 1432.47, "word": " E", "probability": 0.88037109375}, {"start": 1432.47, "end": 1432.89, "word": " أس", "probability": 0.5325927734375}, {"start": 1432.89, "end": 1433.23, "word": " T", "probability": 0.89013671875}, {"start": 1433.23, "end": 1434.21, "word": " DT", "probability": 0.646240234375}, {"start": 1434.21, "end": 1434.67, "word": " بده", "probability": 0.60009765625}, {"start": 1434.67, "end": 1434.99, "word": " يسوى", "probability": 0.766357421875}, {"start": 1434.99, "end": 1435.43, "word": " ميهم", "probability": 0.4364013671875}, {"start": 1435.43, "end": 1436.73, "word": " DX", "probability": 0.82568359375}, {"start": 1436.73, "end": 1437.49, "word": " إذا", "probability": 0.914794921875}, {"start": 1437.49, "end": 1438.15, "word": " المسألة", "probability": 0.888671875}, {"start": 1438.15, "end": 1438.51, "word": " هذه", "probability": 0.5849609375}, {"start": 1438.51, "end": 1439.27, "word": " أصبحت", "probability": 0.958984375}, {"start": 1439.27, "end": 1439.59, "word": " على", "probability": 0.90625}, {"start": 1439.59, "end": 1440.23, "word": " الشكل", "probability": 0.97802734375}, {"start": 1440.23, "end": 1441.07, "word": " التالي", "probability": 0.9827473958333334}, {"start": 1441.07, "end": 1441.93, "word": " بده", "probability": 0.693115234375}, {"start": 1441.93, "end": 1442.13, "word": " أشيل", "probability": 0.8693033854166666}, {"start": 1442.13, "end": 1442.25, "word": " ال", "probability": 0.734375}, {"start": 1442.25, "end": 1442.47, "word": " X", "probability": 0.9150390625}, {"start": 1442.47, "end": 1442.67, "word": " و", "probability": 0.85009765625}, {"start": 1442.67, "end": 1442.85, "word": " أحط", "probability": 0.9451497395833334}, {"start": 1442.85, "end": 1443.63, "word": " مكانها", "probability": 0.9869791666666666}, {"start": 1443.63, "end": 1444.21, "word": " E", "probability": 0.970703125}, {"start": 1444.21, "end": 1444.71, "word": " أس", "probability": 0.961181640625}, {"start": 1444.71, "end": 1445.05, "word": " T", "probability": 0.990234375}, {"start": 1445.05, "end": 1446.69, "word": " و", "probability": 0.802734375}, {"start": 1446.69, "end": 1447.17, "word": " أشيل", "probability": 0.9368489583333334}, {"start": 1447.17, "end": 1447.55, "word": " لنه", "probability": 0.5341796875}, {"start": 1447.55, "end": 1447.69, "word": " ال", "probability": 0.93798828125}, {"start": 1447.69, "end": 1447.93, "word": " X", "probability": 0.98583984375}, {"start": 1447.93, "end": 1448.17, "word": " و", "probability": 0.91650390625}, {"start": 1448.17, "end": 1448.47, "word": " أحط", "probability": 0.9851888020833334}, {"start": 1448.47, "end": 1449.33, "word": " مكانها", "probability": 0.9933268229166666}, {"start": 1449.33, "end": 1449.87, "word": " T", "probability": 0.892578125}, {"start": 1449.87, "end": 1450.91, "word": " تربيه", "probability": 0.729248046875}, {"start": 1450.91, "end": 1451.07, "word": " و", "probability": 0.6611328125}, {"start": 1451.07, "end": 1451.29, "word": " ال", "probability": 0.2314453125}, {"start": 1451.29, "end": 1451.99, "word": " DX", "probability": 0.95068359375}, {"start": 1451.99, "end": 1452.57, "word": " اللي", "probability": 0.5606689453125}, {"start": 1452.57, "end": 1452.73, "word": " هو", "probability": 0.9453125}, {"start": 1452.73, "end": 1453.15, "word": " E", "probability": 0.98193359375}, {"start": 1453.15, "end": 1453.93, "word": " أس", "probability": 0.975830078125}, {"start": 1453.93, "end": 1454.53, "word": " T", "probability": 0.96435546875}, {"start": 1454.53, "end": 1455.19, "word": " DT", "probability": 0.963623046875}], "temperature": 1.0}, {"id": 65, "seek": 147438, "start": 1465.18, "end": 1474.38, "text": "يبدو كأن المسألة أصبحت هي تكامل تتربيع E أس اتنين T DT", "tokens": [1829, 44510, 2407, 9122, 33456, 9673, 3794, 10721, 37977, 5551, 9381, 3555, 33753, 39896, 6055, 4117, 10943, 1211, 6055, 2655, 2288, 21292, 3615, 462, 5551, 3794, 1975, 2655, 1863, 9957, 314, 413, 51], "avg_logprob": -0.4110753588816699, "compression_ratio": 1.0813953488372092, "no_speech_prob": 0.0, "words": [{"start": 1465.1799999999998, "end": 1466.58, "word": "يبدو", "probability": 0.4017333984375}, {"start": 1466.58, "end": 1467.16, "word": " كأن", "probability": 0.668212890625}, {"start": 1467.16, "end": 1468.08, "word": " المسألة", "probability": 0.943115234375}, {"start": 1468.08, "end": 1468.92, "word": " أصبحت", "probability": 0.8475341796875}, {"start": 1468.92, "end": 1469.22, "word": " هي", "probability": 0.440673828125}, {"start": 1469.22, "end": 1470.38, "word": " تكامل", "probability": 0.96142578125}, {"start": 1470.38, "end": 1471.68, "word": " تتربيع", "probability": 0.6228515625}, {"start": 1471.68, "end": 1472.06, "word": " E", "probability": 0.2178955078125}, {"start": 1472.06, "end": 1472.56, "word": " أس", "probability": 0.44775390625}, {"start": 1472.56, "end": 1473.38, "word": " اتنين", "probability": 0.9423828125}, {"start": 1473.38, "end": 1473.78, "word": " T", "probability": 0.81005859375}, {"start": 1473.78, "end": 1474.38, "word": " DT", "probability": 0.5775146484375}], "temperature": 1.0}, {"id": 66, "seek": 149595, "start": 1477.83, "end": 1495.95, "text": "طيب طلعلي هل هذه تشبه اي واحدة من الستة اللي هما الخالصة يبقى بروح بعملي لهال جدول يبقى بروح بقوله هنا بدي اخد جزء derivatives و بدي اخد الجزء التاني integrals", "tokens": [9566, 1829, 3555, 23032, 1211, 3615, 20292, 8032, 1211, 29538, 6055, 8592, 3555, 3224, 1975, 1829, 36764, 24401, 3660, 9154, 21136, 2655, 3660, 13672, 1829, 8032, 15042, 33962, 6027, 9381, 3660, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 25957, 20292, 46740, 6027, 10874, 3215, 12610, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 3224, 34105, 4724, 16254, 1975, 9778, 3215, 10874, 11622, 38207, 33733, 4032, 4724, 16254, 1975, 9778, 3215, 25724, 11622, 38207, 16712, 7649, 1829, 3572, 1124], "avg_logprob": -0.19048996913580246, "compression_ratio": 1.6047904191616766, "no_speech_prob": 0.0, "words": [{"start": 1477.83, "end": 1478.43, "word": "طيب", "probability": 0.8097330729166666}, {"start": 1478.43, "end": 1479.27, "word": " طلعلي", "probability": 0.751953125}, {"start": 1479.27, "end": 1479.63, "word": " هل", "probability": 0.946533203125}, {"start": 1479.63, "end": 1479.97, "word": " هذه", "probability": 0.7470703125}, {"start": 1479.97, "end": 1480.61, "word": " تشبه", "probability": 0.9766845703125}, {"start": 1480.61, "end": 1480.85, "word": " اي", "probability": 0.6405029296875}, {"start": 1480.85, "end": 1481.31, "word": " واحدة", "probability": 0.9788411458333334}, {"start": 1481.31, "end": 1481.47, "word": " من", "probability": 0.99462890625}, {"start": 1481.47, "end": 1482.63, "word": " الستة", "probability": 0.75146484375}, {"start": 1482.63, "end": 1483.05, "word": " اللي", "probability": 0.923583984375}, {"start": 1483.05, "end": 1483.33, "word": " هما", "probability": 0.4654541015625}, {"start": 1483.33, "end": 1484.75, "word": " الخالصة", "probability": 0.7305908203125}, {"start": 1484.75, "end": 1484.91, "word": " يبقى", "probability": 0.8846435546875}, {"start": 1484.91, "end": 1485.27, "word": " بروح", "probability": 0.9654947916666666}, {"start": 1485.27, "end": 1485.71, "word": " بعملي", "probability": 0.7698567708333334}, {"start": 1485.71, "end": 1486.01, "word": " لهال", "probability": 0.4490966796875}, {"start": 1486.01, "end": 1486.49, "word": " جدول", "probability": 0.93896484375}, {"start": 1486.49, "end": 1487.35, "word": " يبقى", "probability": 0.9195556640625}, {"start": 1487.35, "end": 1487.75, "word": " بروح", "probability": 0.9949544270833334}, {"start": 1487.75, "end": 1488.29, "word": " بقوله", "probability": 0.841796875}, {"start": 1488.29, "end": 1488.59, "word": " هنا", "probability": 0.896484375}, {"start": 1488.59, "end": 1488.95, "word": " بدي", "probability": 0.80224609375}, {"start": 1488.95, "end": 1489.51, "word": " اخد", "probability": 0.8313802083333334}, {"start": 1489.51, "end": 1490.01, "word": " جزء", "probability": 0.9908854166666666}, {"start": 1490.01, "end": 1491.11, "word": " derivatives", "probability": 0.771484375}, {"start": 1491.11, "end": 1492.57, "word": " و", "probability": 0.70068359375}, {"start": 1492.57, "end": 1492.85, "word": " بدي", "probability": 0.8212890625}, {"start": 1492.85, "end": 1493.21, "word": " اخد", "probability": 0.9318033854166666}, {"start": 1493.21, "end": 1493.73, "word": " الجزء", "probability": 0.9845377604166666}, {"start": 1493.73, "end": 1494.51, "word": " التاني", "probability": 0.9541015625}, {"start": 1494.51, "end": 1495.95, "word": " integrals", "probability": 0.85498046875}], "temperature": 1.0}, {"id": 67, "seek": 151765, "start": 1496.81, "end": 1517.65, "text": "يبقى ال derivatives هي main هي T تربية وال derivatives هي E أس اتنين T انفضل يبقى 2T انكمل نص E أس اتنين T انفضل ب2 انكمل رابع E أس اتنين T انفضل ب0", "tokens": [1829, 3555, 4587, 7578, 2423, 33733, 39896, 2135, 39896, 314, 6055, 2288, 21292, 3660, 16070, 33733, 39896, 462, 5551, 3794, 1975, 2655, 1863, 9957, 314, 16472, 5172, 11242, 1211, 7251, 3555, 4587, 7578, 568, 51, 16472, 24793, 1211, 8717, 9381, 462, 5551, 3794, 1975, 2655, 1863, 9957, 314, 16472, 5172, 11242, 1211, 4724, 17, 16472, 24793, 1211, 12602, 16758, 3615, 462, 5551, 3794, 1975, 2655, 1863, 9957, 314, 16472, 5172, 11242, 1211, 4724, 15], "avg_logprob": -0.22604166150093077, "compression_ratio": 1.8373983739837398, "no_speech_prob": 0.0, "words": [{"start": 1496.81, "end": 1497.37, "word": "يبقى", "probability": 0.850341796875}, {"start": 1497.37, "end": 1497.43, "word": " ال", "probability": 0.82568359375}, {"start": 1497.43, "end": 1498.11, "word": " derivatives", "probability": 0.56103515625}, {"start": 1498.11, "end": 1498.61, "word": " هي", "probability": 0.91552734375}, {"start": 1498.61, "end": 1499.09, "word": " main", "probability": 0.1654052734375}, {"start": 1499.09, "end": 1499.47, "word": " هي", "probability": 0.7900390625}, {"start": 1499.47, "end": 1499.85, "word": " T", "probability": 0.66650390625}, {"start": 1499.85, "end": 1500.71, "word": " تربية", "probability": 0.7105712890625}, {"start": 1500.71, "end": 1500.91, "word": " وال", "probability": 0.62841796875}, {"start": 1500.91, "end": 1501.67, "word": " derivatives", "probability": 0.546875}, {"start": 1501.67, "end": 1502.13, "word": " هي", "probability": 0.97119140625}, {"start": 1502.13, "end": 1502.57, "word": " E", "probability": 0.927734375}, {"start": 1502.57, "end": 1503.03, "word": " أس", "probability": 0.4930419921875}, {"start": 1503.03, "end": 1503.63, "word": " اتنين", "probability": 0.832763671875}, {"start": 1503.63, "end": 1503.99, "word": " T", "probability": 0.95849609375}, {"start": 1503.99, "end": 1505.31, "word": " انفضل", "probability": 0.7509765625}, {"start": 1505.31, "end": 1505.77, "word": " يبقى", "probability": 0.97802734375}, {"start": 1505.77, "end": 1506.63, "word": " 2T", "probability": 0.6085205078125}, {"start": 1506.63, "end": 1507.77, "word": " انكمل", "probability": 0.7373046875}, {"start": 1507.77, "end": 1508.29, "word": " نص", "probability": 0.9775390625}, {"start": 1508.29, "end": 1508.71, "word": " E", "probability": 0.9619140625}, {"start": 1508.71, "end": 1509.09, "word": " أس", "probability": 0.916748046875}, {"start": 1509.09, "end": 1509.69, "word": " اتنين", "probability": 0.9095458984375}, {"start": 1509.69, "end": 1510.01, "word": " T", "probability": 0.98193359375}, {"start": 1510.01, "end": 1511.39, "word": " انفضل", "probability": 0.9625244140625}, {"start": 1511.39, "end": 1512.11, "word": " ب2", "probability": 0.6658935546875}, {"start": 1512.11, "end": 1513.17, "word": " انكمل", "probability": 0.9449869791666666}, {"start": 1513.17, "end": 1513.91, "word": " رابع", "probability": 0.837890625}, {"start": 1513.91, "end": 1514.59, "word": " E", "probability": 0.9931640625}, {"start": 1514.59, "end": 1515.09, "word": " أس", "probability": 0.958984375}, {"start": 1515.09, "end": 1515.73, "word": " اتنين", "probability": 0.98291015625}, {"start": 1515.73, "end": 1516.01, "word": " T", "probability": 0.9912109375}, {"start": 1516.01, "end": 1517.03, "word": " انفضل", "probability": 0.98095703125}, {"start": 1517.03, "end": 1517.65, "word": " ب0", "probability": 0.615478515625}], "temperature": 1.0}, {"id": 68, "seek": 153982, "start": 1518.04, "end": 1539.82, "text": "إن كامل تمن E أس اتنين T يبقى هذه في هذه بشرة زائد هذه في هذه بشرة ناقص وهذه بشرة مان زائد إذن النتيجة أصبحت على الشكل التالي يبقى نص T ترابيع E أس اتنين T", "tokens": [28814, 1863, 9122, 10943, 1211, 46811, 1863, 462, 5551, 3794, 1975, 2655, 1863, 9957, 314, 7251, 3555, 4587, 7578, 29538, 8978, 29538, 4724, 8592, 25720, 30767, 16373, 3215, 29538, 8978, 29538, 4724, 8592, 25720, 8717, 995, 4587, 9381, 37037, 24192, 4724, 8592, 25720, 3714, 7649, 30767, 16373, 3215, 11933, 8848, 1863, 28239, 31371, 7435, 3660, 5551, 9381, 3555, 33753, 15844, 25124, 28820, 16712, 6027, 1829, 7251, 3555, 4587, 7578, 8717, 9381, 314, 6055, 2288, 16758, 40228, 462, 5551, 3794, 1975, 2655, 1863, 9957, 314], "avg_logprob": -0.18933823459288654, "compression_ratio": 1.836734693877551, "no_speech_prob": 0.0, "words": [{"start": 1518.04, "end": 1518.36, "word": "إن", "probability": 0.280029296875}, {"start": 1518.36, "end": 1518.98, "word": " كامل", "probability": 0.9248046875}, {"start": 1518.98, "end": 1519.7, "word": " تمن", "probability": 0.4921875}, {"start": 1519.7, "end": 1520.24, "word": " E", "probability": 0.67236328125}, {"start": 1520.24, "end": 1520.8, "word": " أس", "probability": 0.5523681640625}, {"start": 1520.8, "end": 1521.5, "word": " اتنين", "probability": 0.923095703125}, {"start": 1521.5, "end": 1521.88, "word": " T", "probability": 0.9296875}, {"start": 1521.88, "end": 1522.84, "word": " يبقى", "probability": 0.912353515625}, {"start": 1522.84, "end": 1523.04, "word": " هذه", "probability": 0.52685546875}, {"start": 1523.04, "end": 1523.22, "word": " في", "probability": 0.9013671875}, {"start": 1523.22, "end": 1523.44, "word": " هذه", "probability": 0.9716796875}, {"start": 1523.44, "end": 1523.96, "word": " بشرة", "probability": 0.78759765625}, {"start": 1523.96, "end": 1524.64, "word": " زائد", "probability": 0.9361979166666666}, {"start": 1524.64, "end": 1524.92, "word": " هذه", "probability": 0.463623046875}, {"start": 1524.92, "end": 1525.14, "word": " في", "probability": 0.97509765625}, {"start": 1525.14, "end": 1525.32, "word": " هذه", "probability": 0.97607421875}, {"start": 1525.32, "end": 1525.84, "word": " بشرة", "probability": 0.9762369791666666}, {"start": 1525.84, "end": 1526.6, "word": " ناقص", "probability": 0.977783203125}, {"start": 1526.6, "end": 1527.02, "word": " وهذه", "probability": 0.834716796875}, {"start": 1527.02, "end": 1527.6, "word": " بشرة", "probability": 0.95263671875}, {"start": 1527.6, "end": 1528.08, "word": " مان", "probability": 0.4349365234375}, {"start": 1528.08, "end": 1529.3, "word": " زائد", "probability": 0.9339192708333334}, {"start": 1529.3, "end": 1530.08, "word": " إذن", "probability": 0.68017578125}, {"start": 1530.08, "end": 1530.74, "word": " النتيجة", "probability": 0.935302734375}, {"start": 1530.74, "end": 1531.48, "word": " أصبحت", "probability": 0.9119873046875}, {"start": 1531.48, "end": 1531.76, "word": " على", "probability": 0.89306640625}, {"start": 1531.76, "end": 1532.4, "word": " الشكل", "probability": 0.954345703125}, {"start": 1532.4, "end": 1533.2, "word": " التالي", "probability": 0.9816080729166666}, {"start": 1533.2, "end": 1534.28, "word": " يبقى", "probability": 0.9871826171875}, {"start": 1534.28, "end": 1535.04, "word": " نص", "probability": 0.88427734375}, {"start": 1535.04, "end": 1535.9, "word": " T", "probability": 0.92333984375}, {"start": 1535.9, "end": 1537.16, "word": " ترابيع", "probability": 0.8145751953125}, {"start": 1537.16, "end": 1537.98, "word": " E", "probability": 0.98046875}, {"start": 1537.98, "end": 1538.5, "word": " أس", "probability": 0.9580078125}, {"start": 1538.5, "end": 1539.48, "word": " اتنين", "probability": 0.963623046875}, {"start": 1539.48, "end": 1539.82, "word": " T", "probability": 0.97509765625}], "temperature": 1.0}, {"id": 69, "seek": 156652, "start": 1540.92, "end": 1566.52, "text": "نقص اتنين على اربعة اللي هو بنص T E أس اتنين T وزائد اتنين في تمان تاني رابع E أس اتنين T زائد كنستان C الآن بدي اشيل كل T واحط مكان التعييد اللي حاطناها ليهما لإن من الاكس يبقى صارة النتيجة نص", "tokens": [1863, 4587, 9381, 1975, 2655, 1863, 9957, 15844, 1975, 25513, 27884, 13672, 1829, 31439, 44945, 9381, 314, 462, 5551, 3794, 1975, 2655, 1863, 9957, 314, 4032, 11622, 16373, 3215, 1975, 2655, 1863, 9957, 8978, 46811, 7649, 6055, 7649, 1829, 12602, 16758, 3615, 462, 5551, 3794, 1975, 2655, 1863, 9957, 314, 30767, 16373, 3215, 9122, 1863, 14851, 7649, 383, 6024, 48506, 4724, 16254, 1975, 8592, 26895, 28242, 314, 4032, 39319, 9566, 3714, 41361, 16712, 3615, 1829, 25708, 13672, 1829, 11331, 41193, 8315, 11296, 32239, 3224, 15042, 5296, 28814, 1863, 9154, 42963, 4117, 3794, 7251, 3555, 4587, 7578, 20328, 9640, 3660, 28239, 31371, 7435, 3660, 8717, 9381], "avg_logprob": -0.29038916500109546, "compression_ratio": 1.8021390374331552, "no_speech_prob": 0.0, "words": [{"start": 1540.92, "end": 1541.78, "word": "نقص", "probability": 0.6583658854166666}, {"start": 1541.78, "end": 1542.88, "word": " اتنين", "probability": 0.79150390625}, {"start": 1542.88, "end": 1543.16, "word": " على", "probability": 0.58349609375}, {"start": 1543.16, "end": 1543.68, "word": " اربعة", "probability": 0.7791341145833334}, {"start": 1543.68, "end": 1543.9, "word": " اللي", "probability": 0.5303955078125}, {"start": 1543.9, "end": 1544.08, "word": " هو", "probability": 0.990234375}, {"start": 1544.08, "end": 1544.82, "word": " بنص", "probability": 0.51708984375}, {"start": 1544.82, "end": 1545.76, "word": " T", "probability": 0.5205078125}, {"start": 1545.76, "end": 1546.62, "word": " E", "probability": 0.7421875}, {"start": 1546.62, "end": 1547.02, "word": " أس", "probability": 0.5220947265625}, {"start": 1547.02, "end": 1547.66, "word": " اتنين", "probability": 0.9755859375}, {"start": 1547.66, "end": 1548.04, "word": " T", "probability": 0.9326171875}, {"start": 1548.04, "end": 1549.24, "word": " وزائد", "probability": 0.785400390625}, {"start": 1549.24, "end": 1549.66, "word": " اتنين", "probability": 0.9835205078125}, {"start": 1549.66, "end": 1549.84, "word": " في", "probability": 0.84814453125}, {"start": 1549.84, "end": 1550.56, "word": " تمان", "probability": 0.55780029296875}, {"start": 1550.56, "end": 1551.1, "word": " تاني", "probability": 0.8204752604166666}, {"start": 1551.1, "end": 1551.74, "word": " رابع", "probability": 0.9015299479166666}, {"start": 1551.74, "end": 1552.36, "word": " E", "probability": 0.93408203125}, {"start": 1552.36, "end": 1552.82, "word": " أس", "probability": 0.92919921875}, {"start": 1552.82, "end": 1553.44, "word": " اتنين", "probability": 0.9813232421875}, {"start": 1553.44, "end": 1553.74, "word": " T", "probability": 0.97314453125}, {"start": 1553.74, "end": 1554.78, "word": " زائد", "probability": 0.97314453125}, {"start": 1554.78, "end": 1555.84, "word": " كنستان", "probability": 0.611328125}, {"start": 1555.84, "end": 1556.16, "word": " C", "probability": 0.892578125}, {"start": 1556.16, "end": 1557.4, "word": " الآن", "probability": 0.6329345703125}, {"start": 1557.4, "end": 1557.7, "word": " بدي", "probability": 0.7127685546875}, {"start": 1557.7, "end": 1558.24, "word": " اشيل", "probability": 0.8312174479166666}, {"start": 1558.24, "end": 1558.6, "word": " كل", "probability": 0.96533203125}, {"start": 1558.6, "end": 1558.82, "word": " T", "probability": 0.93798828125}, {"start": 1558.82, "end": 1559.42, "word": " واحط", "probability": 0.6842447916666666}, {"start": 1559.42, "end": 1559.94, "word": " مكان", "probability": 0.8056640625}, {"start": 1559.94, "end": 1560.58, "word": " التعييد", "probability": 0.751953125}, {"start": 1560.58, "end": 1560.8, "word": " اللي", "probability": 0.954345703125}, {"start": 1560.8, "end": 1561.4, "word": " حاطناها", "probability": 0.751220703125}, {"start": 1561.4, "end": 1562.04, "word": " ليهما", "probability": 0.5128580729166666}, {"start": 1562.04, "end": 1562.94, "word": " لإن", "probability": 0.7132975260416666}, {"start": 1562.94, "end": 1563.12, "word": " من", "probability": 0.72705078125}, {"start": 1563.12, "end": 1563.52, "word": " الاكس", "probability": 0.740478515625}, {"start": 1563.52, "end": 1564.22, "word": " يبقى", "probability": 0.9195556640625}, {"start": 1564.22, "end": 1564.84, "word": " صارة", "probability": 0.6876627604166666}, {"start": 1564.84, "end": 1565.66, "word": " النتيجة", "probability": 0.9482421875}, {"start": 1565.66, "end": 1566.52, "word": " نص", "probability": 0.840087890625}], "temperature": 1.0}, {"id": 70, "seek": 158824, "start": 1567.62, "end": 1588.24, "text": "لن ال X الكل تربية E أس اتنين لن ال X ناقص نص لن ال X E أس اتنين لن ال X زائد رابع E أس اتنين لن ال X زائد constant C", "tokens": [1211, 1863, 2423, 1783, 2423, 28820, 6055, 25513, 10632, 462, 5551, 3794, 1975, 2655, 1863, 9957, 5296, 1863, 2423, 1783, 8717, 995, 4587, 9381, 8717, 9381, 5296, 1863, 2423, 1783, 462, 5551, 3794, 1975, 2655, 1863, 9957, 5296, 1863, 2423, 1783, 30767, 16373, 3215, 12602, 16758, 3615, 462, 5551, 3794, 1975, 2655, 1863, 9957, 5296, 1863, 2423, 1783, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.18725586379878223, "compression_ratio": 1.85, "no_speech_prob": 0.0, "words": [{"start": 1567.62, "end": 1568.36, "word": "لن", "probability": 0.36041259765625}, {"start": 1568.36, "end": 1568.66, "word": " ال", "probability": 0.6318359375}, {"start": 1568.66, "end": 1568.98, "word": " X", "probability": 0.5517578125}, {"start": 1568.98, "end": 1569.68, "word": " الكل", "probability": 0.68701171875}, {"start": 1569.68, "end": 1570.44, "word": " تربية", "probability": 0.8728841145833334}, {"start": 1570.44, "end": 1571.18, "word": " E", "probability": 0.6455078125}, {"start": 1571.18, "end": 1571.66, "word": " أس", "probability": 0.5450439453125}, {"start": 1571.66, "end": 1572.52, "word": " اتنين", "probability": 0.8702392578125}, {"start": 1572.52, "end": 1573.08, "word": " لن", "probability": 0.971923828125}, {"start": 1573.08, "end": 1573.36, "word": " ال", "probability": 0.7060546875}, {"start": 1573.36, "end": 1573.74, "word": " X", "probability": 0.9873046875}, {"start": 1573.74, "end": 1575.5, "word": " ناقص", "probability": 0.8330078125}, {"start": 1575.5, "end": 1576.18, "word": " نص", "probability": 0.962890625}, {"start": 1576.18, "end": 1577.18, "word": " لن", "probability": 0.979248046875}, {"start": 1577.18, "end": 1577.48, "word": " ال", "probability": 0.8408203125}, {"start": 1577.48, "end": 1577.8, "word": " X", "probability": 0.9931640625}, {"start": 1577.8, "end": 1578.3, "word": " E", "probability": 0.9697265625}, {"start": 1578.3, "end": 1578.8, "word": " أس", "probability": 0.932861328125}, {"start": 1578.8, "end": 1579.46, "word": " اتنين", "probability": 0.97607421875}, {"start": 1579.46, "end": 1579.96, "word": " لن", "probability": 0.9873046875}, {"start": 1579.96, "end": 1580.22, "word": " ال", "probability": 0.9560546875}, {"start": 1580.22, "end": 1580.6, "word": " X", "probability": 0.99658203125}, {"start": 1580.6, "end": 1581.84, "word": " زائد", "probability": 0.8707682291666666}, {"start": 1581.84, "end": 1582.54, "word": " رابع", "probability": 0.79638671875}, {"start": 1582.54, "end": 1583.24, "word": " E", "probability": 0.98828125}, {"start": 1583.24, "end": 1583.8, "word": " أس", "probability": 0.9638671875}, {"start": 1583.8, "end": 1584.68, "word": " اتنين", "probability": 0.978759765625}, {"start": 1584.68, "end": 1585.54, "word": " لن", "probability": 0.989013671875}, {"start": 1585.54, "end": 1585.78, "word": " ال", "probability": 0.97314453125}, {"start": 1585.78, "end": 1586.24, "word": " X", "probability": 0.99658203125}, {"start": 1586.24, "end": 1587.12, "word": " زائد", "probability": 0.9781901041666666}, {"start": 1587.12, "end": 1587.68, "word": " constant", "probability": 0.296630859375}, {"start": 1587.68, "end": 1588.24, "word": " C", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 71, "seek": 160936, "start": 1588.86, "end": 1609.36, "text": "هذا الكلام يساوي نص مالكش دعوة هذي يا شباب على درع المين E أس لن X تربية الأس ده هدخل جوا ال E و ال لن بيلغوا بعض و قداش X تربية يبقى نص X تربية لن ال X الكل تربية", "tokens": [3224, 15730, 2423, 28820, 10943, 7251, 3794, 995, 45865, 8717, 9381, 3714, 6027, 4117, 8592, 11778, 3615, 2407, 3660, 8032, 8848, 1829, 35186, 13412, 3555, 16758, 15844, 11778, 2288, 3615, 9673, 9957, 462, 5551, 3794, 5296, 1863, 1783, 6055, 25513, 10632, 16247, 3794, 11778, 3224, 8032, 3215, 9778, 1211, 10874, 14407, 2423, 462, 4032, 2423, 5296, 1863, 4724, 26895, 17082, 14407, 45030, 11242, 4032, 12174, 3215, 33599, 1783, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 8717, 9381, 1783, 6055, 25513, 10632, 5296, 1863, 2423, 1783, 2423, 28820, 6055, 25513, 10632], "avg_logprob": -0.2716346166946076, "compression_ratio": 1.7610062893081762, "no_speech_prob": 0.0, "words": [{"start": 1588.86, "end": 1589.24, "word": "هذا", "probability": 0.8125}, {"start": 1589.24, "end": 1589.92, "word": " الكلام", "probability": 0.923828125}, {"start": 1589.92, "end": 1590.8, "word": " يساوي", "probability": 0.95361328125}, {"start": 1590.8, "end": 1591.88, "word": " نص", "probability": 0.781494140625}, {"start": 1591.88, "end": 1592.44, "word": " مالكش", "probability": 0.791259765625}, {"start": 1592.44, "end": 1593.04, "word": " دعوة", "probability": 0.9410400390625}, {"start": 1593.04, "end": 1593.86, "word": " هذي", "probability": 0.5300699869791666}, {"start": 1593.86, "end": 1593.96, "word": " يا", "probability": 0.900390625}, {"start": 1593.96, "end": 1594.26, "word": " شباب", "probability": 0.9890950520833334}, {"start": 1594.26, "end": 1594.46, "word": " على", "probability": 0.3876953125}, {"start": 1594.46, "end": 1594.7, "word": " درع", "probability": 0.4208984375}, {"start": 1594.7, "end": 1595.22, "word": " المين", "probability": 0.785888671875}, {"start": 1595.22, "end": 1595.78, "word": " E", "probability": 0.461181640625}, {"start": 1595.78, "end": 1596.38, "word": " أس", "probability": 0.643798828125}, {"start": 1596.38, "end": 1597.28, "word": " لن", "probability": 0.853515625}, {"start": 1597.28, "end": 1598.3, "word": " X", "probability": 0.91796875}, {"start": 1598.3, "end": 1598.72, "word": " تربية", "probability": 0.76953125}, {"start": 1598.72, "end": 1599.12, "word": " الأس", "probability": 0.64794921875}, {"start": 1599.12, "end": 1599.34, "word": " ده", "probability": 0.60400390625}, {"start": 1599.34, "end": 1599.84, "word": " هدخل", "probability": 0.818603515625}, {"start": 1599.84, "end": 1600.24, "word": " جوا", "probability": 0.808837890625}, {"start": 1600.24, "end": 1600.86, "word": " ال", "probability": 0.7666015625}, {"start": 1600.86, "end": 1601.02, "word": " E", "probability": 0.8896484375}, {"start": 1601.02, "end": 1601.24, "word": " و", "probability": 0.83203125}, {"start": 1601.24, "end": 1601.26, "word": " ال", "probability": 0.533203125}, {"start": 1601.26, "end": 1601.44, "word": " لن", "probability": 0.80078125}, {"start": 1601.44, "end": 1601.88, "word": " بيلغوا", "probability": 0.755126953125}, {"start": 1601.88, "end": 1602.12, "word": " بعض", "probability": 0.949462890625}, {"start": 1602.12, "end": 1602.22, "word": " و", "probability": 0.454833984375}, {"start": 1602.22, "end": 1602.96, "word": " قداش", "probability": 0.6254475911458334}, {"start": 1602.96, "end": 1603.44, "word": " X", "probability": 0.84228515625}, {"start": 1603.44, "end": 1603.94, "word": " تربية", "probability": 0.9449869791666666}, {"start": 1603.94, "end": 1604.82, "word": " يبقى", "probability": 0.961669921875}, {"start": 1604.82, "end": 1605.4, "word": " نص", "probability": 0.8232421875}, {"start": 1605.4, "end": 1605.98, "word": " X", "probability": 0.96630859375}, {"start": 1605.98, "end": 1606.76, "word": " تربية", "probability": 0.96630859375}, {"start": 1606.76, "end": 1607.52, "word": " لن", "probability": 0.982421875}, {"start": 1607.52, "end": 1607.76, "word": " ال", "probability": 0.72216796875}, {"start": 1607.76, "end": 1608.16, "word": " X", "probability": 0.9052734375}, {"start": 1608.16, "end": 1608.76, "word": " الكل", "probability": 0.77294921875}, {"start": 1608.76, "end": 1609.36, "word": " تربية", "probability": 0.9669596354166666}], "temperature": 1.0}, {"id": 72, "seek": 163319, "start": 1609.89, "end": 1633.19, "text": "نجي للترمي التاني ناقص نص لن ال X هذا كمان بقداش ب X تربية يبقى لو بس مشان الترتيب نص X تربية في لن ال X وهذه زائد رابع X تربية زائد constant C بالشكل اللي قدامنا هذا", "tokens": [1863, 7435, 1829, 24976, 2655, 2288, 2304, 1829, 16712, 7649, 1829, 8717, 995, 4587, 9381, 8717, 9381, 5296, 1863, 2423, 1783, 23758, 9122, 2304, 7649, 4724, 28543, 33599, 4724, 1783, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 45164, 4724, 3794, 37893, 7649, 16712, 43500, 1829, 3555, 8717, 9381, 1783, 6055, 25513, 10632, 8978, 5296, 1863, 2423, 1783, 37037, 24192, 30767, 16373, 3215, 12602, 16758, 3615, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 5754, 383, 20666, 8592, 28820, 13672, 1829, 12174, 3215, 10943, 8315, 23758], "avg_logprob": -0.23621323248919318, "compression_ratio": 1.7134146341463414, "no_speech_prob": 0.0, "words": [{"start": 1609.89, "end": 1610.23, "word": "نجي", "probability": 0.5122884114583334}, {"start": 1610.23, "end": 1610.93, "word": " للترمي", "probability": 0.721435546875}, {"start": 1610.93, "end": 1611.51, "word": " التاني", "probability": 0.8369140625}, {"start": 1611.51, "end": 1612.71, "word": " ناقص", "probability": 0.73419189453125}, {"start": 1612.71, "end": 1613.19, "word": " نص", "probability": 0.987548828125}, {"start": 1613.19, "end": 1614.01, "word": " لن", "probability": 0.853759765625}, {"start": 1614.01, "end": 1614.25, "word": " ال", "probability": 0.74169921875}, {"start": 1614.25, "end": 1614.57, "word": " X", "probability": 0.5927734375}, {"start": 1614.57, "end": 1615.23, "word": " هذا", "probability": 0.64453125}, {"start": 1615.23, "end": 1615.61, "word": " كمان", "probability": 0.9462890625}, {"start": 1615.61, "end": 1616.33, "word": " بقداش", "probability": 0.5947265625}, {"start": 1616.33, "end": 1616.97, "word": " ب", "probability": 0.48291015625}, {"start": 1616.97, "end": 1617.33, "word": " X", "probability": 0.66943359375}, {"start": 1617.33, "end": 1617.91, "word": " تربية", "probability": 0.7766927083333334}, {"start": 1617.91, "end": 1618.79, "word": " يبقى", "probability": 0.9573974609375}, {"start": 1618.79, "end": 1618.95, "word": " لو", "probability": 0.97021484375}, {"start": 1618.95, "end": 1619.25, "word": " بس", "probability": 0.986083984375}, {"start": 1619.25, "end": 1619.59, "word": " مشان", "probability": 0.7763671875}, {"start": 1619.59, "end": 1620.41, "word": " الترتيب", "probability": 0.8521728515625}, {"start": 1620.41, "end": 1621.39, "word": " نص", "probability": 0.983642578125}, {"start": 1621.39, "end": 1621.95, "word": " X", "probability": 0.9814453125}, {"start": 1621.95, "end": 1622.77, "word": " تربية", "probability": 0.9386393229166666}, {"start": 1622.77, "end": 1623.11, "word": " في", "probability": 0.4287109375}, {"start": 1623.11, "end": 1623.51, "word": " لن", "probability": 0.99365234375}, {"start": 1623.51, "end": 1623.69, "word": " ال", "probability": 0.802734375}, {"start": 1623.69, "end": 1624.01, "word": " X", "probability": 0.97265625}, {"start": 1624.01, "end": 1625.21, "word": " وهذه", "probability": 0.538818359375}, {"start": 1625.21, "end": 1626.89, "word": " زائد", "probability": 0.80615234375}, {"start": 1626.89, "end": 1627.97, "word": " رابع", "probability": 0.8562825520833334}, {"start": 1627.97, "end": 1628.65, "word": " X", "probability": 0.99267578125}, {"start": 1628.65, "end": 1629.47, "word": " تربية", "probability": 0.94677734375}, {"start": 1629.47, "end": 1630.67, "word": " زائد", "probability": 0.95654296875}, {"start": 1630.67, "end": 1631.25, "word": " constant", "probability": 0.2196044921875}, {"start": 1631.25, "end": 1631.77, "word": " C", "probability": 0.80322265625}, {"start": 1631.77, "end": 1632.27, "word": " بالشكل", "probability": 0.9493815104166666}, {"start": 1632.27, "end": 1632.39, "word": " اللي", "probability": 0.932373046875}, {"start": 1632.39, "end": 1632.95, "word": " قدامنا", "probability": 0.931884765625}, {"start": 1632.95, "end": 1633.19, "word": " هذا", "probability": 0.91796875}], "temperature": 1.0}, {"id": 73, "seek": 165083, "start": 1633.35, "end": 1650.83, "text": "إذا بعض المسائل سنضطر إلى عملها أو تكاملها أو تحويلها بالتعويض إلى مسألة تكامل بعد ذلك بمهم بالتجزيه، يقوله ال integration by path", "tokens": [28814, 15730, 45030, 11242, 9673, 3794, 16373, 1211, 8608, 1863, 11242, 9566, 2288, 30731, 6225, 42213, 11296, 34051, 6055, 4117, 10943, 1211, 11296, 34051, 6055, 5016, 2407, 26895, 11296, 20666, 2655, 3615, 45865, 11242, 30731, 47524, 10721, 37977, 6055, 4117, 10943, 1211, 39182, 29910, 23275, 4724, 2304, 16095, 20666, 2655, 7435, 11622, 1829, 3224, 12399, 7251, 39648, 3224, 2423, 10980, 538, 3100], "avg_logprob": -0.13541666950498307, "compression_ratio": 1.4635761589403973, "no_speech_prob": 0.0, "words": [{"start": 1633.35, "end": 1633.75, "word": "إذا", "probability": 0.77392578125}, {"start": 1633.75, "end": 1634.91, "word": " بعض", "probability": 0.953125}, {"start": 1634.91, "end": 1635.95, "word": " المسائل", "probability": 0.9705810546875}, {"start": 1635.95, "end": 1637.37, "word": " سنضطر", "probability": 0.89755859375}, {"start": 1637.37, "end": 1637.91, "word": " إلى", "probability": 0.77734375}, {"start": 1637.91, "end": 1639.21, "word": " عملها", "probability": 0.9622395833333334}, {"start": 1639.21, "end": 1639.53, "word": " أو", "probability": 0.8515625}, {"start": 1639.53, "end": 1640.49, "word": " تكاملها", "probability": 0.941796875}, {"start": 1640.49, "end": 1640.81, "word": " أو", "probability": 0.916015625}, {"start": 1640.81, "end": 1641.83, "word": " تحويلها", "probability": 0.98203125}, {"start": 1641.83, "end": 1643.35, "word": " بالتعويض", "probability": 0.9400390625}, {"start": 1643.35, "end": 1644.03, "word": " إلى", "probability": 0.8359375}, {"start": 1644.03, "end": 1644.99, "word": " مسألة", "probability": 0.9812825520833334}, {"start": 1644.99, "end": 1645.83, "word": " تكامل", "probability": 0.8997802734375}, {"start": 1645.83, "end": 1646.17, "word": " بعد", "probability": 0.958984375}, {"start": 1646.17, "end": 1646.73, "word": " ذلك", "probability": 0.995361328125}, {"start": 1646.73, "end": 1647.29, "word": " بمهم", "probability": 0.9383138020833334}, {"start": 1647.29, "end": 1648.71, "word": " بالتجزيه،", "probability": 0.7196568080357143}, {"start": 1648.71, "end": 1649.07, "word": " يقوله", "probability": 0.88623046875}, {"start": 1649.07, "end": 1649.17, "word": " ال", "probability": 0.72314453125}, {"start": 1649.17, "end": 1649.81, "word": " integration", "probability": 0.9345703125}, {"start": 1649.81, "end": 1650.33, "word": " by", "probability": 0.88525390625}, {"start": 1650.33, "end": 1650.83, "word": " path", "probability": 0.415283203125}], "temperature": 1.0}, {"id": 74, "seek": 167391, "start": 1651.49, "end": 1673.91, "text": "يبقى انت بدك تكون دقيقة نظرة في المسألة اللى عندك اذا تعوض و سهلها بتروح اعوض و بعد هيك بتروح اعمل تكامل بالتجزير بنعطيك مثال اخر بتالي اتنين بدنا تكامل ل cosine main اللى هو الجذر التالت ل X DX", "tokens": [1829, 3555, 4587, 7578, 16472, 2655, 47525, 4117, 6055, 30544, 11778, 38436, 28671, 8717, 19913, 25720, 8978, 9673, 3794, 10721, 37977, 13672, 7578, 43242, 4117, 1975, 15730, 6055, 3615, 2407, 11242, 4032, 8608, 3224, 1211, 11296, 39894, 32887, 5016, 1975, 3615, 2407, 11242, 4032, 39182, 39896, 4117, 39894, 32887, 5016, 1975, 25957, 1211, 6055, 4117, 10943, 1211, 20666, 2655, 7435, 11622, 13546, 44945, 3615, 9566, 1829, 4117, 50113, 6027, 1975, 34740, 39894, 6027, 1829, 1975, 2655, 1863, 9957, 47525, 8315, 6055, 4117, 10943, 1211, 5296, 23565, 2135, 13672, 7578, 31439, 25724, 8848, 2288, 16712, 6027, 2655, 5296, 1783, 48817], "avg_logprob": -0.22078124597668647, "compression_ratio": 1.6470588235294117, "no_speech_prob": 0.0, "words": [{"start": 1651.49, "end": 1651.99, "word": "يبقى", "probability": 0.639892578125}, {"start": 1651.99, "end": 1652.23, "word": " انت", "probability": 0.73583984375}, {"start": 1652.23, "end": 1652.61, "word": " بدك", "probability": 0.897705078125}, {"start": 1652.61, "end": 1653.01, "word": " تكون", "probability": 0.978271484375}, {"start": 1653.01, "end": 1653.59, "word": " دقيقة", "probability": 0.92919921875}, {"start": 1653.59, "end": 1653.99, "word": " نظرة", "probability": 0.8343098958333334}, {"start": 1653.99, "end": 1654.13, "word": " في", "probability": 0.8544921875}, {"start": 1654.13, "end": 1654.65, "word": " المسألة", "probability": 0.8760986328125}, {"start": 1654.65, "end": 1654.79, "word": " اللى", "probability": 0.751220703125}, {"start": 1654.79, "end": 1655.27, "word": " عندك", "probability": 0.9912109375}, {"start": 1655.27, "end": 1655.79, "word": " اذا", "probability": 0.6495361328125}, {"start": 1655.79, "end": 1656.33, "word": " تعوض", "probability": 0.73126220703125}, {"start": 1656.33, "end": 1656.47, "word": " و", "probability": 0.59423828125}, {"start": 1656.47, "end": 1657.07, "word": " سهلها", "probability": 0.7706298828125}, {"start": 1657.07, "end": 1657.55, "word": " بتروح", "probability": 0.8733723958333334}, {"start": 1657.55, "end": 1658.07, "word": " اعوض", "probability": 0.8658447265625}, {"start": 1658.07, "end": 1658.15, "word": " و", "probability": 0.65869140625}, {"start": 1658.15, "end": 1658.37, "word": " بعد", "probability": 0.9130859375}, {"start": 1658.37, "end": 1658.59, "word": " هيك", "probability": 0.826904296875}, {"start": 1658.59, "end": 1659.27, "word": " بتروح", "probability": 0.8873697916666666}, {"start": 1659.27, "end": 1659.97, "word": " اعمل", "probability": 0.9723307291666666}, {"start": 1659.97, "end": 1660.75, "word": " تكامل", "probability": 0.9873046875}, {"start": 1660.75, "end": 1661.87, "word": " بالتجزير", "probability": 0.82607421875}, {"start": 1661.87, "end": 1662.91, "word": " بنعطيك", "probability": 0.83134765625}, {"start": 1662.91, "end": 1663.33, "word": " مثال", "probability": 0.964111328125}, {"start": 1663.33, "end": 1663.93, "word": " اخر", "probability": 0.93115234375}, {"start": 1663.93, "end": 1664.51, "word": " بتالي", "probability": 0.70703125}, {"start": 1664.51, "end": 1665.07, "word": " اتنين", "probability": 0.908447265625}, {"start": 1665.07, "end": 1665.93, "word": " بدنا", "probability": 0.850830078125}, {"start": 1665.93, "end": 1666.93, "word": " تكامل", "probability": 0.9930419921875}, {"start": 1666.93, "end": 1667.73, "word": " ل", "probability": 0.9072265625}, {"start": 1667.73, "end": 1668.89, "word": " cosine", "probability": 0.54833984375}, {"start": 1668.89, "end": 1670.25, "word": " main", "probability": 0.404052734375}, {"start": 1670.25, "end": 1670.81, "word": " اللى", "probability": 0.77978515625}, {"start": 1670.81, "end": 1671.01, "word": " هو", "probability": 0.9130859375}, {"start": 1671.01, "end": 1671.71, "word": " الجذر", "probability": 0.908203125}, {"start": 1671.71, "end": 1672.57, "word": " التالت", "probability": 0.9298502604166666}, {"start": 1672.57, "end": 1672.83, "word": " ل", "probability": 0.8447265625}, {"start": 1672.83, "end": 1673.39, "word": " X", "probability": 0.34326171875}, {"start": 1673.39, "end": 1673.91, "word": " DX", "probability": 0.84326171875}], "temperature": 1.0}, {"id": 75, "seek": 169932, "start": 1679.26, "end": 1699.32, "text": "أحنا اللي مار علينا تكمل ل cosine ال X، بس الجذر التالت ل X هذي أول مرة بنشوفها، مظبوط؟ إذا هي هذه الوضع غير طبيعي أو هي المصعبة المثل، يبقى لو داجها أكملها بالتجزيه الدوري مباشرة، ده ان شاء الله عليها بصيرة في غاية التعقيد، تمام؟", "tokens": [10721, 5016, 8315, 13672, 1829, 3714, 9640, 25894, 8315, 6055, 24793, 1211, 5296, 23565, 2423, 1783, 12399, 4724, 3794, 25724, 8848, 2288, 16712, 6027, 2655, 5296, 1783, 8032, 8848, 1829, 5551, 12610, 3714, 25720, 44945, 8592, 38688, 11296, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 11933, 15730, 39896, 29538, 2423, 2407, 11242, 3615, 32771, 13546, 23032, 21292, 3615, 1829, 34051, 39896, 9673, 9381, 3615, 49401, 9673, 12984, 1211, 12399, 7251, 3555, 4587, 7578, 45164, 11778, 26108, 11296, 5551, 24793, 1211, 11296, 20666, 2655, 7435, 11622, 1829, 3224, 32748, 13063, 1829, 3714, 3555, 33599, 25720, 12399, 11778, 3224, 16472, 13412, 16606, 21984, 25894, 11296, 4724, 9381, 48923, 8978, 32771, 995, 10632, 16712, 3615, 4587, 25708, 12399, 46811, 10943, 22807], "avg_logprob": -0.23923318826851725, "compression_ratio": 1.7393162393162394, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1679.26, "end": 1679.68, "word": "أحنا", "probability": 0.7100016276041666}, {"start": 1679.68, "end": 1679.84, "word": " اللي", "probability": 0.898681640625}, {"start": 1679.84, "end": 1680.08, "word": " مار", "probability": 0.82470703125}, {"start": 1680.08, "end": 1680.44, "word": " علينا", "probability": 0.906982421875}, {"start": 1680.44, "end": 1681.06, "word": " تكمل", "probability": 0.8522135416666666}, {"start": 1681.06, "end": 1681.26, "word": " ل", "probability": 0.9111328125}, {"start": 1681.26, "end": 1681.76, "word": " cosine", "probability": 0.435791015625}, {"start": 1681.76, "end": 1682.04, "word": " ال", "probability": 0.451171875}, {"start": 1682.04, "end": 1682.44, "word": " X،", "probability": 0.46484375}, {"start": 1682.44, "end": 1682.66, "word": " بس", "probability": 0.976318359375}, {"start": 1682.66, "end": 1683.12, "word": " الجذر", "probability": 0.7819010416666666}, {"start": 1683.12, "end": 1683.62, "word": " التالت", "probability": 0.8509114583333334}, {"start": 1683.62, "end": 1683.74, "word": " ل", "probability": 0.68115234375}, {"start": 1683.74, "end": 1684.02, "word": " X", "probability": 0.86865234375}, {"start": 1684.02, "end": 1684.28, "word": " هذي", "probability": 0.5387369791666666}, {"start": 1684.28, "end": 1684.5, "word": " أول", "probability": 0.952880859375}, {"start": 1684.5, "end": 1684.78, "word": " مرة", "probability": 0.987548828125}, {"start": 1684.78, "end": 1686.08, "word": " بنشوفها،", "probability": 0.92392578125}, {"start": 1686.08, "end": 1687.12, "word": " مظبوط؟", "probability": 0.8895670572916666}, {"start": 1687.12, "end": 1687.38, "word": " إذا", "probability": 0.694580078125}, {"start": 1687.38, "end": 1687.68, "word": " هي", "probability": 0.45947265625}, {"start": 1687.68, "end": 1688.02, "word": " هذه", "probability": 0.84228515625}, {"start": 1688.02, "end": 1688.4, "word": " الوضع", "probability": 0.90869140625}, {"start": 1688.4, "end": 1688.78, "word": " غير", "probability": 0.98681640625}, {"start": 1688.78, "end": 1689.38, "word": " طبيعي", "probability": 0.9771728515625}, {"start": 1689.38, "end": 1689.66, "word": " أو", "probability": 0.828125}, {"start": 1689.66, "end": 1689.9, "word": " هي", "probability": 0.875}, {"start": 1689.9, "end": 1690.62, "word": " المصعبة", "probability": 0.867431640625}, {"start": 1690.62, "end": 1691.64, "word": " المثل،", "probability": 0.69952392578125}, {"start": 1691.64, "end": 1691.92, "word": " يبقى", "probability": 0.7000732421875}, {"start": 1691.92, "end": 1692.12, "word": " لو", "probability": 0.9462890625}, {"start": 1692.12, "end": 1692.58, "word": " داجها", "probability": 0.5146484375}, {"start": 1692.58, "end": 1693.2, "word": " أكملها", "probability": 0.84515380859375}, {"start": 1693.2, "end": 1694.14, "word": " بالتجزيه", "probability": 0.85791015625}, {"start": 1694.14, "end": 1694.64, "word": " الدوري", "probability": 0.6250813802083334}, {"start": 1694.64, "end": 1695.44, "word": " مباشرة،", "probability": 0.96513671875}, {"start": 1695.44, "end": 1695.64, "word": " ده", "probability": 0.976318359375}, {"start": 1695.64, "end": 1695.76, "word": " ان", "probability": 0.2724609375}, {"start": 1695.76, "end": 1696.0, "word": " شاء", "probability": 0.935546875}, {"start": 1696.0, "end": 1696.06, "word": " الله", "probability": 0.962890625}, {"start": 1696.06, "end": 1696.42, "word": " عليها", "probability": 0.94189453125}, {"start": 1696.42, "end": 1696.96, "word": " بصيرة", "probability": 0.695068359375}, {"start": 1696.96, "end": 1697.18, "word": " في", "probability": 0.9375}, {"start": 1697.18, "end": 1697.6, "word": " غاية", "probability": 0.94873046875}, {"start": 1697.6, "end": 1698.82, "word": " التعقيد،", "probability": 0.8958984375}, {"start": 1698.82, "end": 1699.32, "word": " تمام؟", "probability": 0.9734700520833334}], "temperature": 1.0}, {"id": 76, "seek": 171031, "start": 1699.51, "end": 1710.31, "text": "لكن بسيطة الشغلة في دينها، اعمل تعويضة لهذه المثلة مثلا بدي اقول حط ال Y تساوي الجذر التالت ل X", "tokens": [1211, 19452, 4724, 3794, 1829, 9566, 3660, 25124, 17082, 37977, 8978, 11778, 9957, 11296, 12399, 1975, 25957, 1211, 37279, 45865, 11242, 3660, 46740, 24192, 9673, 12984, 37977, 50113, 15040, 4724, 16254, 1975, 39648, 11331, 9566, 2423, 398, 6055, 3794, 995, 45865, 25724, 8848, 2288, 16712, 6027, 2655, 5296, 1783], "avg_logprob": -0.3120312362909317, "compression_ratio": 1.456896551724138, "no_speech_prob": 0.0, "words": [{"start": 1699.51, "end": 1699.99, "word": "لكن", "probability": 0.544281005859375}, {"start": 1699.99, "end": 1700.49, "word": " بسيطة", "probability": 0.88984375}, {"start": 1700.49, "end": 1700.83, "word": " الشغلة", "probability": 0.7642415364583334}, {"start": 1700.83, "end": 1701.01, "word": " في", "probability": 0.83203125}, {"start": 1701.01, "end": 1701.73, "word": " دينها،", "probability": 0.65948486328125}, {"start": 1701.73, "end": 1702.55, "word": " اعمل", "probability": 0.69091796875}, {"start": 1702.55, "end": 1703.27, "word": " تعويضة", "probability": 0.8076171875}, {"start": 1703.27, "end": 1703.77, "word": " لهذه", "probability": 0.94921875}, {"start": 1703.77, "end": 1704.49, "word": " المثلة", "probability": 0.818359375}, {"start": 1704.49, "end": 1705.21, "word": " مثلا", "probability": 0.75}, {"start": 1705.21, "end": 1705.75, "word": " بدي", "probability": 0.380126953125}, {"start": 1705.75, "end": 1705.95, "word": " اقول", "probability": 0.793701171875}, {"start": 1705.95, "end": 1706.59, "word": " حط", "probability": 0.759033203125}, {"start": 1706.59, "end": 1706.87, "word": " ال", "probability": 0.89892578125}, {"start": 1706.87, "end": 1707.41, "word": " Y", "probability": 0.59375}, {"start": 1707.41, "end": 1708.23, "word": " تساوي", "probability": 0.8798828125}, {"start": 1708.23, "end": 1708.89, "word": " الجذر", "probability": 0.8387044270833334}, {"start": 1708.89, "end": 1709.85, "word": " التالت", "probability": 0.9241536458333334}, {"start": 1709.85, "end": 1710.01, "word": " ل", "probability": 0.53662109375}, {"start": 1710.01, "end": 1710.31, "word": " X", "probability": 0.46630859375}], "temperature": 1.0}, {"id": 77, "seek": 173870, "start": 1711.12, "end": 1738.7, "text": "كعب الطرفين بيصير y تكيب يساوي x يبقى سهل جدا لان بقول تلاتة y تربية dy بده يساوي dx اللي عندنا هذه لكن لو جيت اجيب dy من هنا بدل و احولها بدل ال dx بصير معقدة يبقى اول شغل اذا قابلك سؤال من هذا القبيل بتخلص من الجذر وبعدين بروح بشتق زي ما عملنا هنا بالضبط تمام", "tokens": [4117, 3615, 3555, 41950, 28480, 9957, 4724, 1829, 9381, 13546, 288, 6055, 4117, 1829, 3555, 7251, 3794, 995, 45865, 2031, 7251, 3555, 4587, 7578, 8608, 3224, 1211, 10874, 28259, 5296, 7649, 4724, 39648, 6055, 1211, 9307, 3660, 288, 6055, 25513, 10632, 14584, 47525, 3224, 7251, 3794, 995, 45865, 30017, 13672, 1829, 43242, 8315, 29538, 44381, 45164, 10874, 36081, 1975, 7435, 1829, 3555, 14584, 9154, 34105, 47525, 1211, 4032, 1975, 5016, 12610, 11296, 47525, 1211, 2423, 30017, 4724, 9381, 13546, 20449, 28543, 3660, 7251, 3555, 4587, 7578, 1975, 12610, 13412, 17082, 1211, 1975, 15730, 12174, 16758, 23275, 8608, 33604, 6027, 9154, 23758, 25062, 21292, 1211, 39894, 9778, 1211, 9381, 9154, 25724, 8848, 2288, 46599, 22488, 9957, 4724, 32887, 5016, 4724, 8592, 2655, 4587, 30767, 1829, 19446, 6225, 42213, 8315, 34105, 20666, 11242, 3555, 9566, 46811, 10943], "avg_logprob": -0.18129595062311957, "compression_ratio": 1.8380566801619433, "no_speech_prob": 0.0, "words": [{"start": 1711.12, "end": 1711.72, "word": "كعب", "probability": 0.5957845052083334}, {"start": 1711.72, "end": 1712.48, "word": " الطرفين", "probability": 0.9202473958333334}, {"start": 1712.48, "end": 1713.18, "word": " بيصير", "probability": 0.77838134765625}, {"start": 1713.18, "end": 1713.62, "word": " y", "probability": 0.3662109375}, {"start": 1713.62, "end": 1714.46, "word": " تكيب", "probability": 0.720306396484375}, {"start": 1714.46, "end": 1715.3, "word": " يساوي", "probability": 0.904296875}, {"start": 1715.3, "end": 1715.82, "word": " x", "probability": 0.90966796875}, {"start": 1715.82, "end": 1716.7, "word": " يبقى", "probability": 0.9022216796875}, {"start": 1716.7, "end": 1717.14, "word": " سهل", "probability": 0.9412434895833334}, {"start": 1717.14, "end": 1717.58, "word": " جدا", "probability": 0.990966796875}, {"start": 1717.58, "end": 1718.02, "word": " لان", "probability": 0.46856689453125}, {"start": 1718.02, "end": 1718.54, "word": " بقول", "probability": 0.949462890625}, {"start": 1718.54, "end": 1719.36, "word": " تلاتة", "probability": 0.924072265625}, {"start": 1719.36, "end": 1719.62, "word": " y", "probability": 0.67578125}, {"start": 1719.62, "end": 1720.38, "word": " تربية", "probability": 0.8766276041666666}, {"start": 1720.38, "end": 1721.1, "word": " dy", "probability": 0.87158203125}, {"start": 1721.1, "end": 1722.04, "word": " بده", "probability": 0.3436279296875}, {"start": 1722.04, "end": 1722.44, "word": " يساوي", "probability": 0.8912353515625}, {"start": 1722.44, "end": 1723.14, "word": " dx", "probability": 0.857421875}, {"start": 1723.14, "end": 1723.5, "word": " اللي", "probability": 0.847412109375}, {"start": 1723.5, "end": 1723.96, "word": " عندنا", "probability": 0.973876953125}, {"start": 1723.96, "end": 1724.28, "word": " هذه", "probability": 0.4560546875}, {"start": 1724.28, "end": 1725.08, "word": " لكن", "probability": 0.685546875}, {"start": 1725.08, "end": 1725.34, "word": " لو", "probability": 0.966796875}, {"start": 1725.34, "end": 1725.58, "word": " جيت", "probability": 0.84521484375}, {"start": 1725.58, "end": 1726.0, "word": " اجيب", "probability": 0.905517578125}, {"start": 1726.0, "end": 1726.38, "word": " dy", "probability": 0.86865234375}, {"start": 1726.38, "end": 1726.72, "word": " من", "probability": 0.9853515625}, {"start": 1726.72, "end": 1727.0, "word": " هنا", "probability": 0.99365234375}, {"start": 1727.0, "end": 1727.36, "word": " بدل", "probability": 0.665283203125}, {"start": 1727.36, "end": 1727.5, "word": " و", "probability": 0.44140625}, {"start": 1727.5, "end": 1727.96, "word": " احولها", "probability": 0.8995361328125}, {"start": 1727.96, "end": 1728.22, "word": " بدل", "probability": 0.9755859375}, {"start": 1728.22, "end": 1728.34, "word": " ال", "probability": 0.474853515625}, {"start": 1728.34, "end": 1728.66, "word": " dx", "probability": 0.91357421875}, {"start": 1728.66, "end": 1729.08, "word": " بصير", "probability": 0.8855794270833334}, {"start": 1729.08, "end": 1730.02, "word": " معقدة", "probability": 0.9788411458333334}, {"start": 1730.02, "end": 1730.66, "word": " يبقى", "probability": 0.9786376953125}, {"start": 1730.66, "end": 1731.06, "word": " اول", "probability": 0.841552734375}, {"start": 1731.06, "end": 1731.46, "word": " شغل", "probability": 0.8494466145833334}, {"start": 1731.46, "end": 1731.64, "word": " اذا", "probability": 0.8759765625}, {"start": 1731.64, "end": 1732.16, "word": " قابلك", "probability": 0.8458658854166666}, {"start": 1732.16, "end": 1732.52, "word": " سؤال", "probability": 0.9788411458333334}, {"start": 1732.52, "end": 1732.72, "word": " من", "probability": 0.98974609375}, {"start": 1732.72, "end": 1732.96, "word": " هذا", "probability": 0.95166015625}, {"start": 1732.96, "end": 1733.64, "word": " القبيل", "probability": 0.9578450520833334}, {"start": 1733.64, "end": 1734.64, "word": " بتخلص", "probability": 0.906005859375}, {"start": 1734.64, "end": 1734.84, "word": " من", "probability": 0.98681640625}, {"start": 1734.84, "end": 1735.26, "word": " الجذر", "probability": 0.91845703125}, {"start": 1735.26, "end": 1735.76, "word": " وبعدين", "probability": 0.8720703125}, {"start": 1735.76, "end": 1736.12, "word": " بروح", "probability": 0.97705078125}, {"start": 1736.12, "end": 1736.66, "word": " بشتق", "probability": 0.8607177734375}, {"start": 1736.66, "end": 1736.94, "word": " زي", "probability": 0.9521484375}, {"start": 1736.94, "end": 1737.04, "word": " ما", "probability": 0.96142578125}, {"start": 1737.04, "end": 1737.38, "word": " عملنا", "probability": 0.9786783854166666}, {"start": 1737.38, "end": 1737.64, "word": " هنا", "probability": 0.98583984375}, {"start": 1737.64, "end": 1738.24, "word": " بالضبط", "probability": 0.900634765625}, {"start": 1738.24, "end": 1738.7, "word": " تمام", "probability": 0.9970703125}], "temperature": 1.0}, {"id": 78, "seek": 176617, "start": 1739.17, "end": 1766.17, "text": "طب هذه حولتلي لمثلة بالشكل التالي طلعلي هنا هذا اللي هو cosine و الجذر التالت انا حاطيته بY و ال DX هي تلاتة Y تربية في DY طب التلاتة هذا مقتار ثابت خليك برا تظل تكامل ل Y تربية Cos Y Dy", "tokens": [9566, 3555, 29538, 11331, 12610, 2655, 20292, 32767, 12984, 37977, 20666, 8592, 28820, 16712, 6027, 1829, 23032, 1211, 3615, 20292, 34105, 23758, 13672, 1829, 31439, 23565, 4032, 25724, 8848, 2288, 16712, 6027, 2655, 1975, 8315, 11331, 41193, 36081, 3224, 4724, 56, 4032, 2423, 48817, 39896, 6055, 1211, 9307, 3660, 398, 6055, 25513, 10632, 8978, 48427, 23032, 3555, 16712, 1211, 9307, 3660, 23758, 3714, 38149, 9640, 38637, 16758, 2655, 16490, 20292, 4117, 4724, 23557, 6055, 19913, 1211, 6055, 4117, 10943, 1211, 5296, 398, 6055, 25513, 10632, 15855, 398, 31193], "avg_logprob": -0.25228231140736784, "compression_ratio": 1.6595744680851063, "no_speech_prob": 0.0, "words": [{"start": 1739.17, "end": 1739.53, "word": "طب", "probability": 0.5850830078125}, {"start": 1739.53, "end": 1739.83, "word": " هذه", "probability": 0.71142578125}, {"start": 1739.83, "end": 1740.73, "word": " حولتلي", "probability": 0.8682861328125}, {"start": 1740.73, "end": 1741.45, "word": " لمثلة", "probability": 0.7273763020833334}, {"start": 1741.45, "end": 1742.29, "word": " بالشكل", "probability": 0.91796875}, {"start": 1742.29, "end": 1743.21, "word": " التالي", "probability": 0.83544921875}, {"start": 1743.21, "end": 1744.31, "word": " طلعلي", "probability": 0.6448974609375}, {"start": 1744.31, "end": 1744.69, "word": " هنا", "probability": 0.97802734375}, {"start": 1744.69, "end": 1745.65, "word": " هذا", "probability": 0.86572265625}, {"start": 1745.65, "end": 1745.89, "word": " اللي", "probability": 0.9697265625}, {"start": 1745.89, "end": 1746.13, "word": " هو", "probability": 0.9853515625}, {"start": 1746.13, "end": 1747.19, "word": " cosine", "probability": 0.6259765625}, {"start": 1747.19, "end": 1748.11, "word": " و", "probability": 0.38916015625}, {"start": 1748.11, "end": 1748.63, "word": " الجذر", "probability": 0.7368977864583334}, {"start": 1748.63, "end": 1749.15, "word": " التالت", "probability": 0.9490559895833334}, {"start": 1749.15, "end": 1749.47, "word": " انا", "probability": 0.821044921875}, {"start": 1749.47, "end": 1750.41, "word": " حاطيته", "probability": 0.8614501953125}, {"start": 1750.41, "end": 1751.23, "word": " بY", "probability": 0.628662109375}, {"start": 1751.23, "end": 1751.93, "word": " و", "probability": 0.72412109375}, {"start": 1751.93, "end": 1752.15, "word": " ال", "probability": 0.5556640625}, {"start": 1752.15, "end": 1752.81, "word": " DX", "probability": 0.6240234375}, {"start": 1752.81, "end": 1753.25, "word": " هي", "probability": 0.88671875}, {"start": 1753.25, "end": 1754.13, "word": " تلاتة", "probability": 0.87646484375}, {"start": 1754.13, "end": 1754.61, "word": " Y", "probability": 0.74755859375}, {"start": 1754.61, "end": 1755.51, "word": " تربية", "probability": 0.75830078125}, {"start": 1755.51, "end": 1755.81, "word": " في", "probability": 0.953125}, {"start": 1755.81, "end": 1756.43, "word": " DY", "probability": 0.2225341796875}, {"start": 1756.43, "end": 1757.69, "word": " طب", "probability": 0.903076171875}, {"start": 1757.69, "end": 1758.31, "word": " التلاتة", "probability": 0.9669189453125}, {"start": 1758.31, "end": 1758.53, "word": " هذا", "probability": 0.50927734375}, {"start": 1758.53, "end": 1759.13, "word": " مقتار", "probability": 0.8291015625}, {"start": 1759.13, "end": 1759.57, "word": " ثابت", "probability": 0.9928385416666666}, {"start": 1759.57, "end": 1760.27, "word": " خليك", "probability": 0.92919921875}, {"start": 1760.27, "end": 1760.81, "word": " برا", "probability": 0.9443359375}, {"start": 1760.81, "end": 1761.31, "word": " تظل", "probability": 0.83740234375}, {"start": 1761.31, "end": 1762.05, "word": " تكامل", "probability": 0.9376220703125}, {"start": 1762.05, "end": 1762.25, "word": " ل", "probability": 0.8427734375}, {"start": 1762.25, "end": 1762.61, "word": " Y", "probability": 0.607421875}, {"start": 1762.61, "end": 1763.35, "word": " تربية", "probability": 0.9422200520833334}, {"start": 1763.35, "end": 1764.13, "word": " Cos", "probability": 0.283447265625}, {"start": 1764.13, "end": 1765.53, "word": " Y", "probability": 0.53662109375}, {"start": 1765.53, "end": 1766.17, "word": " Dy", "probability": 0.52978515625}], "temperature": 1.0}, {"id": 79, "seek": 177926, "start": 1767.4, "end": 1779.26, "text": "أتحولت المثلة تبعتي من مثلة مكلقة أو شكل غير شكل إلى مثلة شكلة مقبول وهي من الجدول", "tokens": [10721, 2655, 5016, 12610, 2655, 9673, 12984, 37977, 6055, 3555, 3615, 31371, 9154, 50113, 37977, 3714, 28820, 28671, 34051, 13412, 28820, 32771, 13546, 13412, 28820, 30731, 50113, 37977, 13412, 28820, 3660, 3714, 4587, 3555, 12610, 37037, 1829, 9154, 25724, 3215, 12610], "avg_logprob": -0.2591145762375423, "compression_ratio": 1.5257731958762886, "no_speech_prob": 0.0, "words": [{"start": 1767.4, "end": 1768.44, "word": "أتحولت", "probability": 0.62677001953125}, {"start": 1768.44, "end": 1769.02, "word": " المثلة", "probability": 0.796875}, {"start": 1769.02, "end": 1769.56, "word": " تبعتي", "probability": 0.637115478515625}, {"start": 1769.56, "end": 1769.78, "word": " من", "probability": 0.89404296875}, {"start": 1769.78, "end": 1770.38, "word": " مثلة", "probability": 0.873291015625}, {"start": 1770.38, "end": 1770.94, "word": " مكلقة", "probability": 0.6298014322916666}, {"start": 1770.94, "end": 1771.18, "word": " أو", "probability": 0.83154296875}, {"start": 1771.18, "end": 1771.5, "word": " شكل", "probability": 0.926025390625}, {"start": 1771.5, "end": 1771.86, "word": " غير", "probability": 0.882080078125}, {"start": 1771.86, "end": 1772.26, "word": " شكل", "probability": 0.985595703125}, {"start": 1772.26, "end": 1772.9, "word": " إلى", "probability": 0.84912109375}, {"start": 1772.9, "end": 1773.5, "word": " مثلة", "probability": 0.98828125}, {"start": 1773.5, "end": 1774.08, "word": " شكلة", "probability": 0.93408203125}, {"start": 1774.08, "end": 1775.26, "word": " مقبول", "probability": 0.9686279296875}, {"start": 1775.26, "end": 1776.64, "word": " وهي", "probability": 0.838134765625}, {"start": 1776.64, "end": 1777.32, "word": " من", "probability": 0.9501953125}, {"start": 1777.32, "end": 1779.26, "word": " الجدول", "probability": 0.9239908854166666}], "temperature": 1.0}, {"id": 80, "seek": 179760, "start": 1779.86, "end": 1797.6, "text": "هذه الحل على الجدول اللي هي النقطة رقم تلاتة بنقوله بسيطة يبقى بنروح نعمل الجدول بناخد هنا derivatives وبناخد هنا integrals تمام؟ هنا Y تربية هنا cosine Y", "tokens": [3224, 24192, 21542, 1211, 15844, 25724, 3215, 12610, 13672, 1829, 39896, 28239, 47432, 3660, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 44945, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 7251, 3555, 4587, 7578, 44945, 32887, 5016, 8717, 25957, 1211, 25724, 3215, 12610, 44945, 47283, 3215, 34105, 33733, 46599, 1863, 47283, 3215, 34105, 3572, 1124, 46811, 10943, 22807, 34105, 398, 6055, 25513, 10632, 34105, 23565, 398], "avg_logprob": -0.26112689213319257, "compression_ratio": 1.5240963855421688, "no_speech_prob": 0.0, "words": [{"start": 1779.86, "end": 1780.46, "word": "هذه", "probability": 0.442626953125}, {"start": 1780.46, "end": 1780.86, "word": " الحل", "probability": 0.729736328125}, {"start": 1780.86, "end": 1781.16, "word": " على", "probability": 0.447998046875}, {"start": 1781.16, "end": 1781.68, "word": " الجدول", "probability": 0.853515625}, {"start": 1781.68, "end": 1781.88, "word": " اللي", "probability": 0.5296630859375}, {"start": 1781.88, "end": 1782.04, "word": " هي", "probability": 0.56201171875}, {"start": 1782.04, "end": 1782.36, "word": " النقطة", "probability": 0.9249674479166666}, {"start": 1782.36, "end": 1782.9, "word": " رقم", "probability": 0.9007161458333334}, {"start": 1782.9, "end": 1784.08, "word": " تلاتة", "probability": 0.84576416015625}, {"start": 1784.08, "end": 1784.88, "word": " بنقوله", "probability": 0.5801595052083334}, {"start": 1784.88, "end": 1785.3, "word": " بسيطة", "probability": 0.90654296875}, {"start": 1785.3, "end": 1785.52, "word": " يبقى", "probability": 0.827880859375}, {"start": 1785.52, "end": 1785.9, "word": " بنروح", "probability": 0.7566731770833334}, {"start": 1785.9, "end": 1786.34, "word": " نعمل", "probability": 0.9059244791666666}, {"start": 1786.34, "end": 1786.96, "word": " الجدول", "probability": 0.9718424479166666}, {"start": 1786.96, "end": 1788.1, "word": " بناخد", "probability": 0.9156901041666666}, {"start": 1788.1, "end": 1788.46, "word": " هنا", "probability": 0.984375}, {"start": 1788.46, "end": 1789.14, "word": " derivatives", "probability": 0.90478515625}, {"start": 1789.14, "end": 1790.66, "word": " وبناخد", "probability": 0.87353515625}, {"start": 1790.66, "end": 1791.06, "word": " هنا", "probability": 0.99560546875}, {"start": 1791.06, "end": 1792.52, "word": " integrals", "probability": 0.9619140625}, {"start": 1792.52, "end": 1793.76, "word": " تمام؟", "probability": 0.75537109375}, {"start": 1793.76, "end": 1794.12, "word": " هنا", "probability": 0.98486328125}, {"start": 1794.12, "end": 1794.48, "word": " Y", "probability": 0.55126953125}, {"start": 1794.48, "end": 1795.24, "word": " تربية", "probability": 0.875}, {"start": 1795.24, "end": 1795.94, "word": " هنا", "probability": 0.810546875}, {"start": 1795.94, "end": 1796.58, "word": " cosine", "probability": 0.294921875}, {"start": 1796.58, "end": 1797.6, "word": " Y", "probability": 0.93359375}], "temperature": 1.0}, {"id": 81, "seek": 181719, "start": 1798.89, "end": 1817.19, "text": "انفضل كمان مرة باتنين انفضل كمان مرة باتنين انفضل كمان مرة باتنين انفضل كمان مرة باتنين انفضل كمان مرة باتنين انفضل كمان مرة باتنين انفضل كمان مرة باتنين", "tokens": [7649, 5172, 11242, 1211, 9122, 2304, 7649, 3714, 25720, 4724, 995, 2655, 1863, 9957, 16472, 5172, 11242, 1211, 9122, 2304, 7649, 3714, 25720, 4724, 995, 2655, 1863, 9957, 16472, 5172, 11242, 1211, 9122, 2304, 7649, 3714, 25720, 4724, 995, 2655, 1863, 9957, 16472, 5172, 11242, 1211, 9122, 2304, 7649, 3714, 25720, 4724, 995, 2655, 1863, 9957, 16472, 5172, 11242, 1211, 9122, 2304, 7649, 3714, 25720, 4724, 995, 2655, 1863, 9957, 16472, 5172, 11242, 1211, 9122, 2304, 7649, 3714, 25720, 4724, 995, 2655, 1863, 9957, 16472, 5172, 11242, 1211, 9122, 2304, 7649, 3714, 25720, 4724, 995, 2655, 1863, 9957], "avg_logprob": -0.1559343428322763, "compression_ratio": 5.6938775510204085, "no_speech_prob": 0.0, "words": [{"start": 1798.89, "end": 1799.89, "word": "انفضل", "probability": 0.77734375}, {"start": 1799.89, "end": 1805.11, "word": " كمان", "probability": 0.8291015625}, {"start": 1805.11, "end": 1805.55, "word": " مرة", "probability": 0.984619140625}, {"start": 1805.55, "end": 1806.45, "word": " باتنين", "probability": 0.6982177734375}, {"start": 1806.45, "end": 1807.39, "word": " انفضل", "probability": 0.78790283203125}, {"start": 1807.39, "end": 1807.99, "word": " كمان", "probability": 0.97216796875}, {"start": 1807.99, "end": 1808.51, "word": " مرة", "probability": 0.971435546875}, {"start": 1808.51, "end": 1811.29, "word": " باتنين", "probability": 0.7935546875}, {"start": 1811.29, "end": 1812.23, "word": " انفضل", "probability": 0.8408203125}, {"start": 1812.23, "end": 1812.23, "word": " كمان", "probability": 0.9908854166666666}, {"start": 1812.23, "end": 1812.23, "word": " مرة", "probability": 0.977783203125}, {"start": 1812.23, "end": 1812.23, "word": " باتنين", "probability": 0.89267578125}, {"start": 1812.23, "end": 1812.23, "word": " انفضل", "probability": 0.86578369140625}, {"start": 1812.23, "end": 1812.67, "word": " كمان", "probability": 0.9959309895833334}, {"start": 1812.67, "end": 1813.23, "word": " مرة", "probability": 0.983154296875}, {"start": 1813.23, "end": 1813.87, "word": " باتنين", "probability": 0.9373046875}, {"start": 1813.87, "end": 1813.95, "word": " انفضل", "probability": 0.8978271484375}, {"start": 1813.95, "end": 1814.07, "word": " كمان", "probability": 0.9967447916666666}, {"start": 1814.07, "end": 1814.07, "word": " مرة", "probability": 0.98388671875}, {"start": 1814.07, "end": 1814.07, "word": " باتنين", "probability": 0.96318359375}, {"start": 1814.07, "end": 1814.19, "word": " انفضل", "probability": 0.90087890625}, {"start": 1814.19, "end": 1814.19, "word": " كمان", "probability": 0.9973958333333334}, {"start": 1814.19, "end": 1814.19, "word": " مرة", "probability": 0.98486328125}, {"start": 1814.19, "end": 1814.19, "word": " باتنين", "probability": 0.971484375}, {"start": 1814.19, "end": 1814.27, "word": " انفضل", "probability": 0.9132080078125}, {"start": 1814.27, "end": 1814.85, "word": " كمان", "probability": 0.9978841145833334}, {"start": 1814.85, "end": 1815.39, "word": " مرة", "probability": 0.986083984375}, {"start": 1815.39, "end": 1817.19, "word": " باتنين", "probability": 0.97421875}], "temperature": 1.0}, {"id": 82, "seek": 183891, "start": 1817.67, "end": 1838.91, "text": "هذه في هذه بالموجة هذه في هذه بالسالب هذه في هذه بالموجة إذا انقلت المسألة إلى الشكل التالي اللي هو Y تربية في sign ال Y تمام؟ و هنا ناقص مع ناقص بالصير زائد كيف؟", "tokens": [3224, 24192, 8978, 29538, 20666, 2304, 29245, 3660, 29538, 8978, 29538, 20666, 3794, 6027, 3555, 29538, 8978, 29538, 20666, 2304, 29245, 3660, 11933, 15730, 16472, 4587, 1211, 2655, 9673, 3794, 10721, 37977, 30731, 25124, 28820, 16712, 6027, 1829, 13672, 1829, 31439, 398, 6055, 25513, 10632, 8978, 1465, 2423, 398, 46811, 10943, 22807, 4032, 34105, 8717, 995, 4587, 9381, 20449, 8717, 995, 4587, 9381, 20666, 9381, 13546, 30767, 16373, 3215, 9122, 33911, 22807], "avg_logprob": -0.20644263208728947, "compression_ratio": 1.7861635220125787, "no_speech_prob": 0.0, "words": [{"start": 1817.67, "end": 1818.11, "word": "هذه", "probability": 0.6962890625}, {"start": 1818.11, "end": 1818.25, "word": " في", "probability": 0.62890625}, {"start": 1818.25, "end": 1818.47, "word": " هذه", "probability": 0.61865234375}, {"start": 1818.47, "end": 1819.25, "word": " بالموجة", "probability": 0.921142578125}, {"start": 1819.25, "end": 1819.87, "word": " هذه", "probability": 0.40966796875}, {"start": 1819.87, "end": 1820.07, "word": " في", "probability": 0.97705078125}, {"start": 1820.07, "end": 1820.25, "word": " هذه", "probability": 0.96875}, {"start": 1820.25, "end": 1821.07, "word": " بالسالب", "probability": 0.7882080078125}, {"start": 1821.07, "end": 1821.59, "word": " هذه", "probability": 0.658203125}, {"start": 1821.59, "end": 1821.79, "word": " في", "probability": 0.9619140625}, {"start": 1821.79, "end": 1822.01, "word": " هذه", "probability": 0.861328125}, {"start": 1822.01, "end": 1823.95, "word": " بالموجة", "probability": 0.8389892578125}, {"start": 1823.95, "end": 1824.61, "word": " إذا", "probability": 0.75341796875}, {"start": 1824.61, "end": 1825.17, "word": " انقلت", "probability": 0.9246826171875}, {"start": 1825.17, "end": 1825.87, "word": " المسألة", "probability": 0.9615478515625}, {"start": 1825.87, "end": 1826.13, "word": " إلى", "probability": 0.751953125}, {"start": 1826.13, "end": 1826.81, "word": " الشكل", "probability": 0.971435546875}, {"start": 1826.81, "end": 1827.63, "word": " التالي", "probability": 0.9794921875}, {"start": 1827.63, "end": 1828.45, "word": " اللي", "probability": 0.79833984375}, {"start": 1828.45, "end": 1828.75, "word": " هو", "probability": 0.97509765625}, {"start": 1828.75, "end": 1829.09, "word": " Y", "probability": 0.5830078125}, {"start": 1829.09, "end": 1830.01, "word": " تربية", "probability": 0.7757161458333334}, {"start": 1830.01, "end": 1830.35, "word": " في", "probability": 0.9697265625}, {"start": 1830.35, "end": 1830.95, "word": " sign", "probability": 0.30419921875}, {"start": 1830.95, "end": 1831.27, "word": " ال", "probability": 0.81201171875}, {"start": 1831.27, "end": 1831.69, "word": " Y", "probability": 0.53076171875}, {"start": 1831.69, "end": 1833.27, "word": " تمام؟", "probability": 0.6654459635416666}, {"start": 1833.27, "end": 1833.41, "word": " و", "probability": 0.54345703125}, {"start": 1833.41, "end": 1833.77, "word": " هنا", "probability": 0.7451171875}, {"start": 1833.77, "end": 1834.89, "word": " ناقص", "probability": 0.9830322265625}, {"start": 1834.89, "end": 1835.47, "word": " مع", "probability": 0.8876953125}, {"start": 1835.47, "end": 1836.15, "word": " ناقص", "probability": 0.993408203125}, {"start": 1836.15, "end": 1836.85, "word": " بالصير", "probability": 0.904296875}, {"start": 1836.85, "end": 1837.63, "word": " زائد", "probability": 0.8473307291666666}, {"start": 1837.63, "end": 1838.91, "word": " كيف؟", "probability": 0.8767903645833334}], "temperature": 1.0}, {"id": 83, "seek": 186741, "start": 1841.89, "end": 1867.41, "text": "أه في تلاتة برا طيب مش مشكلة لما نخلص هي يساوي وهي التلاتة للكل كمان و هنا زائد اتنين y في cosine ال y و هنا ناقص اتنين sine ال y ناقص اتنين sine ال y كله زائد constant C", "tokens": [10721, 3224, 8978, 6055, 1211, 9307, 3660, 4724, 23557, 23032, 1829, 3555, 37893, 37893, 28820, 3660, 5296, 15042, 8717, 9778, 1211, 9381, 39896, 7251, 3794, 995, 45865, 37037, 1829, 16712, 1211, 9307, 3660, 5296, 23275, 1211, 9122, 2304, 7649, 4032, 34105, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 288, 8978, 23565, 2423, 288, 4032, 34105, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 18609, 2423, 288, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 18609, 2423, 288, 28242, 3224, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.173529412465937, "compression_ratio": 1.7564102564102564, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1841.89, "end": 1842.37, "word": "أه", "probability": 0.493408203125}, {"start": 1842.37, "end": 1842.49, "word": " في", "probability": 0.83544921875}, {"start": 1842.49, "end": 1842.97, "word": " تلاتة", "probability": 0.937744140625}, {"start": 1842.97, "end": 1843.25, "word": " برا", "probability": 0.742431640625}, {"start": 1843.25, "end": 1843.69, "word": " طيب", "probability": 0.83935546875}, {"start": 1843.69, "end": 1844.15, "word": " مش", "probability": 0.84033203125}, {"start": 1844.15, "end": 1844.53, "word": " مشكلة", "probability": 0.9552408854166666}, {"start": 1844.53, "end": 1844.67, "word": " لما", "probability": 0.812255859375}, {"start": 1844.67, "end": 1845.33, "word": " نخلص", "probability": 0.97216796875}, {"start": 1845.33, "end": 1845.69, "word": " هي", "probability": 0.46044921875}, {"start": 1845.69, "end": 1846.61, "word": " يساوي", "probability": 0.8934326171875}, {"start": 1846.61, "end": 1847.49, "word": " وهي", "probability": 0.821533203125}, {"start": 1847.49, "end": 1848.37, "word": " التلاتة", "probability": 0.953125}, {"start": 1848.37, "end": 1849.79, "word": " للكل", "probability": 0.8642578125}, {"start": 1849.79, "end": 1850.39, "word": " كمان", "probability": 0.7528483072916666}, {"start": 1850.39, "end": 1851.15, "word": " و", "probability": 0.439697265625}, {"start": 1851.15, "end": 1851.61, "word": " هنا", "probability": 0.947265625}, {"start": 1851.61, "end": 1852.89, "word": " زائد", "probability": 0.8430989583333334}, {"start": 1852.89, "end": 1853.79, "word": " اتنين", "probability": 0.9443359375}, {"start": 1853.79, "end": 1854.69, "word": " y", "probability": 0.47216796875}, {"start": 1854.69, "end": 1855.43, "word": " في", "probability": 0.96044921875}, {"start": 1855.43, "end": 1856.09, "word": " cosine", "probability": 0.373779296875}, {"start": 1856.09, "end": 1857.05, "word": " ال", "probability": 0.89794921875}, {"start": 1857.05, "end": 1857.37, "word": " y", "probability": 0.60888671875}, {"start": 1857.37, "end": 1858.01, "word": " و", "probability": 0.69921875}, {"start": 1858.01, "end": 1858.33, "word": " هنا", "probability": 0.984375}, {"start": 1858.33, "end": 1858.99, "word": " ناقص", "probability": 0.9857177734375}, {"start": 1858.99, "end": 1859.57, "word": " اتنين", "probability": 0.9908447265625}, {"start": 1859.57, "end": 1859.99, "word": " sine", "probability": 0.556640625}, {"start": 1859.99, "end": 1860.23, "word": " ال", "probability": 0.95263671875}, {"start": 1860.23, "end": 1860.57, "word": " y", "probability": 0.9208984375}, {"start": 1860.57, "end": 1861.61, "word": " ناقص", "probability": 0.9583740234375}, {"start": 1861.61, "end": 1862.83, "word": " اتنين", "probability": 0.9923095703125}, {"start": 1862.83, "end": 1863.71, "word": " sine", "probability": 0.84228515625}, {"start": 1863.71, "end": 1864.07, "word": " ال", "probability": 0.98974609375}, {"start": 1864.07, "end": 1864.55, "word": " y", "probability": 0.93603515625}, {"start": 1864.55, "end": 1865.41, "word": " كله", "probability": 0.97216796875}, {"start": 1865.41, "end": 1866.03, "word": " زائد", "probability": 0.9755859375}, {"start": 1866.03, "end": 1866.73, "word": " constant", "probability": 0.70751953125}, {"start": 1866.73, "end": 1867.41, "word": " C", "probability": 0.67578125}], "temperature": 1.0}, {"id": 84, "seek": 189381, "start": 1868.43, "end": 1893.81, "text": "هذا الكلام بده يساوي تلاتة فيه بدنا نيجي لل Y تربيع بدنا نشيل ال Y و نحطه مكان أمام الجدر يعني هذا X أس طلت الكل تربيع يعني X أس طلتين يبقى تلاتة X أس طلتين نيجي لهذه ال sign ال Y طلع لهناش اللي عملنا احنا", "tokens": [3224, 15730, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 8978, 3224, 47525, 8315, 8717, 1829, 7435, 1829, 24976, 398, 6055, 2288, 21292, 3615, 47525, 8315, 8717, 8592, 26895, 2423, 398, 4032, 8717, 5016, 9566, 3224, 3714, 41361, 5551, 2304, 10943, 25724, 3215, 2288, 37495, 22653, 23758, 1783, 5551, 3794, 23032, 1211, 2655, 2423, 28820, 6055, 2288, 21292, 3615, 37495, 22653, 1783, 5551, 3794, 23032, 1211, 2655, 9957, 7251, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 1783, 5551, 3794, 23032, 1211, 2655, 9957, 8717, 1829, 7435, 1829, 46740, 24192, 2423, 1465, 2423, 398, 23032, 1211, 3615, 46740, 8315, 8592, 13672, 1829, 6225, 42213, 8315, 1975, 5016, 8315], "avg_logprob": -0.22137720605968375, "compression_ratio": 1.9135135135135135, "no_speech_prob": 0.0, "words": [{"start": 1868.43, "end": 1868.83, "word": "هذا", "probability": 0.713134765625}, {"start": 1868.83, "end": 1869.29, "word": " الكلام", "probability": 0.89453125}, {"start": 1869.29, "end": 1869.75, "word": " بده", "probability": 0.22100830078125}, {"start": 1869.75, "end": 1870.25, "word": " يساوي", "probability": 0.881103515625}, {"start": 1870.25, "end": 1871.43, "word": " تلاتة", "probability": 0.83612060546875}, {"start": 1871.43, "end": 1872.13, "word": " فيه", "probability": 0.830322265625}, {"start": 1872.13, "end": 1872.89, "word": " بدنا", "probability": 0.671142578125}, {"start": 1872.89, "end": 1873.23, "word": " نيجي", "probability": 0.875}, {"start": 1873.23, "end": 1873.45, "word": " لل", "probability": 0.64794921875}, {"start": 1873.45, "end": 1873.77, "word": " Y", "probability": 0.48486328125}, {"start": 1873.77, "end": 1874.41, "word": " تربيع", "probability": 0.71624755859375}, {"start": 1874.41, "end": 1874.81, "word": " بدنا", "probability": 0.838623046875}, {"start": 1874.81, "end": 1875.21, "word": " نشيل", "probability": 0.92333984375}, {"start": 1875.21, "end": 1875.39, "word": " ال", "probability": 0.904296875}, {"start": 1875.39, "end": 1875.57, "word": " Y", "probability": 0.900390625}, {"start": 1875.57, "end": 1875.81, "word": " و", "probability": 0.9208984375}, {"start": 1875.81, "end": 1876.07, "word": " نحطه", "probability": 0.8092041015625}, {"start": 1876.07, "end": 1876.31, "word": " مكان", "probability": 0.962158203125}, {"start": 1876.31, "end": 1876.83, "word": " أمام", "probability": 0.8046875}, {"start": 1876.83, "end": 1878.19, "word": " الجدر", "probability": 0.7661946614583334}, {"start": 1878.19, "end": 1878.57, "word": " يعني", "probability": 0.885986328125}, {"start": 1878.57, "end": 1878.95, "word": " هذا", "probability": 0.83251953125}, {"start": 1878.95, "end": 1879.45, "word": " X", "probability": 0.79296875}, {"start": 1879.45, "end": 1879.91, "word": " أس", "probability": 0.7314453125}, {"start": 1879.91, "end": 1880.29, "word": " طلت", "probability": 0.7775065104166666}, {"start": 1880.29, "end": 1880.75, "word": " الكل", "probability": 0.601806640625}, {"start": 1880.75, "end": 1881.21, "word": " تربيع", "probability": 0.886474609375}, {"start": 1881.21, "end": 1881.49, "word": " يعني", "probability": 0.940185546875}, {"start": 1881.49, "end": 1881.87, "word": " X", "probability": 0.958984375}, {"start": 1881.87, "end": 1882.55, "word": " أس", "probability": 0.983642578125}, {"start": 1882.55, "end": 1883.55, "word": " طلتين", "probability": 0.96728515625}, {"start": 1883.55, "end": 1884.75, "word": " يبقى", "probability": 0.9693603515625}, {"start": 1884.75, "end": 1885.81, "word": " تلاتة", "probability": 0.9813232421875}, {"start": 1885.81, "end": 1886.23, "word": " X", "probability": 0.98876953125}, {"start": 1886.23, "end": 1886.89, "word": " أس", "probability": 0.992431640625}, {"start": 1886.89, "end": 1887.99, "word": " طلتين", "probability": 0.9854736328125}, {"start": 1887.99, "end": 1889.13, "word": " نيجي", "probability": 0.9715576171875}, {"start": 1889.13, "end": 1889.65, "word": " لهذه", "probability": 0.92822265625}, {"start": 1889.65, "end": 1889.83, "word": " ال", "probability": 0.41064453125}, {"start": 1889.83, "end": 1890.39, "word": " sign", "probability": 0.26416015625}, {"start": 1890.39, "end": 1890.69, "word": " ال", "probability": 0.85498046875}, {"start": 1890.69, "end": 1891.09, "word": " Y", "probability": 0.97509765625}, {"start": 1891.09, "end": 1891.97, "word": " طلع", "probability": 0.89501953125}, {"start": 1891.97, "end": 1892.63, "word": " لهناش", "probability": 0.5843912760416666}, {"start": 1892.63, "end": 1892.81, "word": " اللي", "probability": 0.7137451171875}, {"start": 1892.81, "end": 1893.31, "word": " عملنا", "probability": 0.9654947916666666}, {"start": 1893.31, "end": 1893.81, "word": " احنا", "probability": 0.8644205729166666}], "temperature": 1.0}, {"id": 85, "seek": 192399, "start": 1894.45, "end": 1923.99, "text": "وين حطينا التعويض؟ احطينا ال Y يساوي X كايب يعني Y اماشي خليها زي مين طيب طلعلي للمثل اللي عندنا هذا الان بدي ارجع ال Y اكتبه بدلالة من؟ بدلالة ال X يبقى هذه بصير ال sign لمن؟ للجذر التالت ال X نجي لبعدها زائد", "tokens": [2407, 9957, 11331, 9566, 1829, 8315, 16712, 3615, 45865, 11242, 22807, 1975, 5016, 9566, 1829, 8315, 2423, 398, 7251, 3794, 995, 45865, 1783, 9122, 47302, 3555, 37495, 22653, 398, 1975, 2304, 33599, 1829, 16490, 20292, 11296, 30767, 1829, 3714, 9957, 23032, 1829, 3555, 23032, 1211, 3615, 20292, 5296, 19528, 12984, 1211, 13672, 1829, 43242, 8315, 23758, 2423, 7649, 4724, 16254, 1975, 47341, 3615, 2423, 398, 1975, 4117, 2655, 3555, 3224, 47525, 1211, 6027, 3660, 9154, 22807, 47525, 1211, 6027, 3660, 2423, 1783, 7251, 3555, 4587, 7578, 29538, 4724, 9381, 13546, 2423, 1465, 5296, 27842, 22807, 24976, 7435, 8848, 2288, 16712, 6027, 2655, 2423, 1783, 8717, 7435, 1829, 5296, 3555, 22488, 11296, 30767, 16373, 3215], "avg_logprob": -0.26277174120363983, "compression_ratio": 1.8383838383838385, "no_speech_prob": 0.0, "words": [{"start": 1894.45, "end": 1894.97, "word": "وين", "probability": 0.195770263671875}, {"start": 1894.97, "end": 1895.51, "word": " حطينا", "probability": 0.875244140625}, {"start": 1895.51, "end": 1896.05, "word": " التعويض؟", "probability": 0.7904296875}, {"start": 1896.05, "end": 1897.01, "word": " احطينا", "probability": 0.779052734375}, {"start": 1897.01, "end": 1897.35, "word": " ال", "probability": 0.8818359375}, {"start": 1897.35, "end": 1897.81, "word": " Y", "probability": 0.26611328125}, {"start": 1897.81, "end": 1898.37, "word": " يساوي", "probability": 0.6400604248046875}, {"start": 1898.37, "end": 1898.71, "word": " X", "probability": 0.93115234375}, {"start": 1898.71, "end": 1899.25, "word": " كايب", "probability": 0.6380208333333334}, {"start": 1899.25, "end": 1900.25, "word": " يعني", "probability": 0.849853515625}, {"start": 1900.25, "end": 1901.15, "word": " Y", "probability": 0.783203125}, {"start": 1901.15, "end": 1902.67, "word": " اماشي", "probability": 0.7236328125}, {"start": 1902.67, "end": 1903.23, "word": " خليها", "probability": 0.74072265625}, {"start": 1903.23, "end": 1903.49, "word": " زي", "probability": 0.9892578125}, {"start": 1903.49, "end": 1903.75, "word": " مين", "probability": 0.644287109375}, {"start": 1903.75, "end": 1905.53, "word": " طيب", "probability": 0.9656575520833334}, {"start": 1905.53, "end": 1906.73, "word": " طلعلي", "probability": 0.7891845703125}, {"start": 1906.73, "end": 1908.55, "word": " للمثل", "probability": 0.8197021484375}, {"start": 1908.55, "end": 1908.71, "word": " اللي", "probability": 0.898193359375}, {"start": 1908.71, "end": 1909.03, "word": " عندنا", "probability": 0.677001953125}, {"start": 1909.03, "end": 1909.35, "word": " هذا", "probability": 0.41650390625}, {"start": 1909.35, "end": 1909.87, "word": " الان", "probability": 0.6239013671875}, {"start": 1909.87, "end": 1910.31, "word": " بدي", "probability": 0.780517578125}, {"start": 1910.31, "end": 1911.01, "word": " ارجع", "probability": 0.9446614583333334}, {"start": 1911.01, "end": 1911.21, "word": " ال", "probability": 0.95361328125}, {"start": 1911.21, "end": 1911.41, "word": " Y", "probability": 0.95068359375}, {"start": 1911.41, "end": 1911.83, "word": " اكتبه", "probability": 0.89404296875}, {"start": 1911.83, "end": 1912.35, "word": " بدلالة", "probability": 0.9354248046875}, {"start": 1912.35, "end": 1913.17, "word": " من؟", "probability": 0.6771240234375}, {"start": 1913.17, "end": 1913.91, "word": " بدلالة", "probability": 0.992919921875}, {"start": 1913.91, "end": 1914.07, "word": " ال", "probability": 0.65380859375}, {"start": 1914.07, "end": 1914.31, "word": " X", "probability": 0.9755859375}, {"start": 1914.31, "end": 1915.15, "word": " يبقى", "probability": 0.9498291015625}, {"start": 1915.15, "end": 1915.53, "word": " هذه", "probability": 0.6728515625}, {"start": 1915.53, "end": 1916.57, "word": " بصير", "probability": 0.83447265625}, {"start": 1916.57, "end": 1916.83, "word": " ال", "probability": 0.6474609375}, {"start": 1916.83, "end": 1917.41, "word": " sign", "probability": 0.8525390625}, {"start": 1917.41, "end": 1918.53, "word": " لمن؟", "probability": 0.9103190104166666}, {"start": 1918.53, "end": 1919.47, "word": " للجذر", "probability": 0.8934326171875}, {"start": 1919.47, "end": 1920.75, "word": " التالت", "probability": 0.8873697916666666}, {"start": 1920.75, "end": 1920.97, "word": " ال", "probability": 0.306640625}, {"start": 1920.97, "end": 1921.35, "word": " X", "probability": 0.97998046875}, {"start": 1921.35, "end": 1922.31, "word": " نجي", "probability": 0.8974609375}, {"start": 1922.31, "end": 1923.01, "word": " لبعدها", "probability": 0.77410888671875}, {"start": 1923.01, "end": 1923.99, "word": " زائد", "probability": 0.7216796875}], "temperature": 1.0}, {"id": 86, "seek": 195107, "start": 1925.27, "end": 1951.07, "text": "تلاتة فى اتنين بستة و ال Y اللى هى الجذر التالت ل X و Cos الجذر التالت ل X وصلنا للسالب من اتنين ساين الجذر التالت ل X زائد constant C وهى ضربناها فى تلاتة بالصين احنا مقدش هنا ستة", "tokens": [2655, 1211, 9307, 3660, 6156, 7578, 1975, 2655, 1863, 9957, 4724, 14851, 3660, 4032, 2423, 398, 13672, 7578, 8032, 7578, 25724, 8848, 2288, 16712, 6027, 2655, 5296, 1783, 4032, 15855, 25724, 8848, 2288, 16712, 6027, 2655, 5296, 1783, 4032, 36520, 8315, 24976, 3794, 6027, 3555, 9154, 1975, 2655, 1863, 9957, 8608, 995, 9957, 25724, 8848, 2288, 16712, 6027, 2655, 5296, 1783, 30767, 16373, 3215, 5754, 383, 37037, 7578, 48812, 25513, 8315, 11296, 6156, 7578, 6055, 1211, 9307, 3660, 20666, 9381, 9957, 1975, 5016, 8315, 3714, 28543, 8592, 34105, 8608, 2655, 3660], "avg_logprob": -0.2396399396593156, "compression_ratio": 1.8944099378881987, "no_speech_prob": 0.0, "words": [{"start": 1925.27, "end": 1925.89, "word": "تلاتة", "probability": 0.77850341796875}, {"start": 1925.89, "end": 1926.15, "word": " فى", "probability": 0.5599365234375}, {"start": 1926.15, "end": 1926.51, "word": " اتنين", "probability": 0.909912109375}, {"start": 1926.51, "end": 1927.39, "word": " بستة", "probability": 0.8103841145833334}, {"start": 1927.39, "end": 1927.79, "word": " و", "probability": 0.446533203125}, {"start": 1927.79, "end": 1928.03, "word": " ال", "probability": 0.61376953125}, {"start": 1928.03, "end": 1928.45, "word": " Y", "probability": 0.469970703125}, {"start": 1928.45, "end": 1928.73, "word": " اللى", "probability": 0.8232421875}, {"start": 1928.73, "end": 1928.93, "word": " هى", "probability": 0.95947265625}, {"start": 1928.93, "end": 1929.51, "word": " الجذر", "probability": 0.8717447916666666}, {"start": 1929.51, "end": 1930.29, "word": " التالت", "probability": 0.8756510416666666}, {"start": 1930.29, "end": 1930.51, "word": " ل", "probability": 0.5205078125}, {"start": 1930.51, "end": 1930.89, "word": " X", "probability": 0.56298828125}, {"start": 1930.89, "end": 1931.55, "word": " و", "probability": 0.95263671875}, {"start": 1931.55, "end": 1932.01, "word": " Cos", "probability": 0.358154296875}, {"start": 1932.01, "end": 1933.03, "word": " الجذر", "probability": 0.9697265625}, {"start": 1933.03, "end": 1934.05, "word": " التالت", "probability": 0.9903971354166666}, {"start": 1934.05, "end": 1934.23, "word": " ل", "probability": 0.96630859375}, {"start": 1934.23, "end": 1934.63, "word": " X", "probability": 0.93017578125}, {"start": 1934.63, "end": 1935.85, "word": " وصلنا", "probability": 0.9482421875}, {"start": 1935.85, "end": 1936.91, "word": " للسالب", "probability": 0.725341796875}, {"start": 1936.91, "end": 1937.83, "word": " من", "probability": 0.86865234375}, {"start": 1937.83, "end": 1939.13, "word": " اتنين", "probability": 0.9781494140625}, {"start": 1939.13, "end": 1940.23, "word": " ساين", "probability": 0.6839192708333334}, {"start": 1940.23, "end": 1941.35, "word": " الجذر", "probability": 0.9811197916666666}, {"start": 1941.35, "end": 1942.15, "word": " التالت", "probability": 0.9938151041666666}, {"start": 1942.15, "end": 1942.77, "word": " ل", "probability": 0.9814453125}, {"start": 1942.77, "end": 1943.27, "word": " X", "probability": 0.97265625}, {"start": 1943.27, "end": 1944.43, "word": " زائد", "probability": 0.7787272135416666}, {"start": 1944.43, "end": 1945.03, "word": " constant", "probability": 0.37109375}, {"start": 1945.03, "end": 1945.83, "word": " C", "probability": 0.8955078125}, {"start": 1945.83, "end": 1946.55, "word": " وهى", "probability": 0.5687255859375}, {"start": 1946.55, "end": 1947.15, "word": " ضربناها", "probability": 0.9349365234375}, {"start": 1947.15, "end": 1947.29, "word": " فى", "probability": 0.98486328125}, {"start": 1947.29, "end": 1948.13, "word": " تلاتة", "probability": 0.96923828125}, {"start": 1948.13, "end": 1948.81, "word": " بالصين", "probability": 0.7623697916666666}, {"start": 1948.81, "end": 1949.03, "word": " احنا", "probability": 0.68017578125}, {"start": 1949.03, "end": 1949.61, "word": " مقدش", "probability": 0.5216471354166666}, {"start": 1949.61, "end": 1949.97, "word": " هنا", "probability": 0.8994140625}, {"start": 1949.97, "end": 1951.07, "word": " ستة", "probability": 0.9752604166666666}], "temperature": 1.0}, {"id": 87, "seek": 197542, "start": 1953.84, "end": 1975.42, "text": "طيب هذا كان المثال الثاني المثال الثالث بدنا تكامل لمين ل sin inverse x sin inverse x لكل تربيع dx هذا السؤال جبناه مرة في إحدى الامتحانات", "tokens": [9566, 1829, 3555, 23758, 25961, 9673, 12984, 6027, 6024, 104, 7649, 1829, 9673, 12984, 6027, 6024, 104, 6027, 12984, 47525, 8315, 6055, 4117, 10943, 1211, 32767, 9957, 5296, 3343, 17340, 2031, 3343, 17340, 2031, 5296, 28820, 6055, 2288, 21292, 3615, 30017, 23758, 21136, 33604, 6027, 10874, 3555, 8315, 3224, 3714, 25720, 8978, 11933, 24401, 7578, 2423, 10943, 2655, 5016, 7649, 9307], "avg_logprob": -0.18195564083514676, "compression_ratio": 1.5694444444444444, "no_speech_prob": 0.0, "words": [{"start": 1953.84, "end": 1954.22, "word": "طيب", "probability": 0.8221028645833334}, {"start": 1954.22, "end": 1954.54, "word": " هذا", "probability": 0.74169921875}, {"start": 1954.54, "end": 1954.92, "word": " كان", "probability": 0.98388671875}, {"start": 1954.92, "end": 1955.5, "word": " المثال", "probability": 0.9796549479166666}, {"start": 1955.5, "end": 1956.14, "word": " الثاني", "probability": 0.9678955078125}, {"start": 1956.14, "end": 1956.64, "word": " المثال", "probability": 0.7630208333333334}, {"start": 1956.64, "end": 1957.5, "word": " الثالث", "probability": 0.978759765625}, {"start": 1957.5, "end": 1958.92, "word": " بدنا", "probability": 0.820068359375}, {"start": 1958.92, "end": 1959.86, "word": " تكامل", "probability": 0.97802734375}, {"start": 1959.86, "end": 1961.7, "word": " لمين", "probability": 0.781494140625}, {"start": 1961.7, "end": 1962.3, "word": " ل", "probability": 0.66357421875}, {"start": 1962.3, "end": 1962.92, "word": " sin", "probability": 0.298095703125}, {"start": 1962.92, "end": 1963.8, "word": " inverse", "probability": 0.8095703125}, {"start": 1963.8, "end": 1964.64, "word": " x", "probability": 0.73486328125}, {"start": 1964.64, "end": 1966.16, "word": " sin", "probability": 0.6650390625}, {"start": 1966.16, "end": 1967.44, "word": " inverse", "probability": 0.87744140625}, {"start": 1967.44, "end": 1967.98, "word": " x", "probability": 0.9716796875}, {"start": 1967.98, "end": 1968.56, "word": " لكل", "probability": 0.59051513671875}, {"start": 1968.56, "end": 1969.5, "word": " تربيع", "probability": 0.787353515625}, {"start": 1969.5, "end": 1970.06, "word": " dx", "probability": 0.6298828125}, {"start": 1970.06, "end": 1971.3, "word": " هذا", "probability": 0.72802734375}, {"start": 1971.3, "end": 1971.76, "word": " السؤال", "probability": 0.9890950520833334}, {"start": 1971.76, "end": 1972.3, "word": " جبناه", "probability": 0.881591796875}, {"start": 1972.3, "end": 1972.74, "word": " مرة", "probability": 0.98876953125}, {"start": 1972.74, "end": 1973.44, "word": " في", "probability": 0.93115234375}, {"start": 1973.44, "end": 1973.98, "word": " إحدى", "probability": 0.8766276041666666}, {"start": 1973.98, "end": 1975.42, "word": " الامتحانات", "probability": 0.9392903645833334}], "temperature": 1.0}, {"id": 88, "seek": 198438, "start": 1976.16, "end": 1984.38, "text": "برضه integration by substitution في الأول وبتحول بعدها إلى مثل الله أعلم بها", "tokens": [26890, 11242, 3224, 10980, 538, 35827, 8978, 16247, 12610, 46599, 2655, 5016, 12610, 39182, 11296, 30731, 50113, 1211, 21984, 5551, 3615, 19528, 4724, 11296], "avg_logprob": -0.20578125, "compression_ratio": 1.1057692307692308, "no_speech_prob": 0.0, "words": [{"start": 1976.16, "end": 1977.0, "word": "برضه", "probability": 0.7718912760416666}, {"start": 1977.0, "end": 1978.04, "word": " integration", "probability": 0.8818359375}, {"start": 1978.04, "end": 1978.68, "word": " by", "probability": 0.9580078125}, {"start": 1978.68, "end": 1979.64, "word": " substitution", "probability": 0.921875}, {"start": 1979.64, "end": 1979.96, "word": " في", "probability": 0.7099609375}, {"start": 1979.96, "end": 1980.54, "word": " الأول", "probability": 0.96044921875}, {"start": 1980.54, "end": 1981.66, "word": " وبتحول", "probability": 0.8221435546875}, {"start": 1981.66, "end": 1982.3, "word": " بعدها", "probability": 0.811767578125}, {"start": 1982.3, "end": 1982.5, "word": " إلى", "probability": 0.8046875}, {"start": 1982.5, "end": 1982.98, "word": " مثل", "probability": 0.815673828125}, {"start": 1982.98, "end": 1983.38, "word": " الله", "probability": 0.75439453125}, {"start": 1983.38, "end": 1983.88, "word": " أعلم", "probability": 0.9259440104166666}, {"start": 1983.88, "end": 1984.38, "word": " بها", "probability": 0.719482421875}], "temperature": 1.0}, {"id": 89, "seek": 201103, "start": 1985.31, "end": 2011.03, "text": "إذا لو جينا قولنا هنا حطلي مثلا ال y تساوي ال sign inverse x يبقى ال sign ال y هي اللي بدها تساوي x مش هكت يبقى الفاضل يبقى cos y dy بدها تساوي من dx يبقى آلة المسألة إلى الشكل التالي هذه y تربيع", "tokens": [28814, 15730, 45164, 10874, 1829, 8315, 12174, 12610, 8315, 34105, 11331, 9566, 20292, 50113, 15040, 2423, 288, 6055, 3794, 995, 45865, 2423, 1465, 17340, 2031, 7251, 3555, 4587, 7578, 2423, 1465, 2423, 288, 39896, 13672, 1829, 47525, 11296, 6055, 3794, 995, 45865, 2031, 37893, 8032, 4117, 2655, 7251, 3555, 4587, 7578, 27188, 46958, 1211, 7251, 3555, 4587, 7578, 3792, 288, 14584, 47525, 11296, 6055, 3794, 995, 45865, 9154, 30017, 7251, 3555, 4587, 7578, 19753, 37977, 9673, 3794, 10721, 37977, 30731, 25124, 28820, 16712, 6027, 1829, 29538, 288, 6055, 25513, 40228], "avg_logprob": -0.21754807823306913, "compression_ratio": 1.776536312849162, "no_speech_prob": 0.0, "words": [{"start": 1985.31, "end": 1985.71, "word": "إذا", "probability": 0.5447998046875}, {"start": 1985.71, "end": 1986.01, "word": " لو", "probability": 0.91748046875}, {"start": 1986.01, "end": 1986.31, "word": " جينا", "probability": 0.88427734375}, {"start": 1986.31, "end": 1986.81, "word": " قولنا", "probability": 0.671875}, {"start": 1986.81, "end": 1987.23, "word": " هنا", "probability": 0.90234375}, {"start": 1987.23, "end": 1988.17, "word": " حطلي", "probability": 0.64111328125}, {"start": 1988.17, "end": 1988.65, "word": " مثلا", "probability": 0.913330078125}, {"start": 1988.65, "end": 1988.97, "word": " ال", "probability": 0.89892578125}, {"start": 1988.97, "end": 1989.27, "word": " y", "probability": 0.44091796875}, {"start": 1989.27, "end": 1990.11, "word": " تساوي", "probability": 0.81500244140625}, {"start": 1990.11, "end": 1990.37, "word": " ال", "probability": 0.6728515625}, {"start": 1990.37, "end": 1990.75, "word": " sign", "probability": 0.384521484375}, {"start": 1990.75, "end": 1991.49, "word": " inverse", "probability": 0.90673828125}, {"start": 1991.49, "end": 1992.21, "word": " x", "probability": 0.8330078125}, {"start": 1992.21, "end": 1993.45, "word": " يبقى", "probability": 0.943359375}, {"start": 1993.45, "end": 1993.67, "word": " ال", "probability": 0.60693359375}, {"start": 1993.67, "end": 1994.19, "word": " sign", "probability": 0.875}, {"start": 1994.19, "end": 1994.57, "word": " ال", "probability": 0.90576171875}, {"start": 1994.57, "end": 1995.01, "word": " y", "probability": 0.90234375}, {"start": 1995.01, "end": 1995.31, "word": " هي", "probability": 0.89697265625}, {"start": 1995.31, "end": 1995.57, "word": " اللي", "probability": 0.92626953125}, {"start": 1995.57, "end": 1995.87, "word": " بدها", "probability": 0.75830078125}, {"start": 1995.87, "end": 1996.35, "word": " تساوي", "probability": 0.9677734375}, {"start": 1996.35, "end": 1996.79, "word": " x", "probability": 0.732421875}, {"start": 1996.79, "end": 1997.45, "word": " مش", "probability": 0.80517578125}, {"start": 1997.45, "end": 1998.15, "word": " هكت", "probability": 0.611083984375}, {"start": 1998.15, "end": 1998.81, "word": " يبقى", "probability": 0.8955078125}, {"start": 1998.81, "end": 1999.45, "word": " الفاضل", "probability": 0.9755859375}, {"start": 1999.45, "end": 1999.95, "word": " يبقى", "probability": 0.981689453125}, {"start": 1999.95, "end": 2000.51, "word": " cos", "probability": 0.30712890625}, {"start": 2000.51, "end": 2001.55, "word": " y", "probability": 0.92333984375}, {"start": 2001.55, "end": 2002.17, "word": " dy", "probability": 0.8720703125}, {"start": 2002.17, "end": 2002.87, "word": " بدها", "probability": 0.906005859375}, {"start": 2002.87, "end": 2003.39, "word": " تساوي", "probability": 0.9637451171875}, {"start": 2003.39, "end": 2003.83, "word": " من", "probability": 0.953125}, {"start": 2003.83, "end": 2004.73, "word": " dx", "probability": 0.89599609375}, {"start": 2004.73, "end": 2005.67, "word": " يبقى", "probability": 0.9744873046875}, {"start": 2005.67, "end": 2006.11, "word": " آلة", "probability": 0.779296875}, {"start": 2006.11, "end": 2006.89, "word": " المسألة", "probability": 0.9718017578125}, {"start": 2006.89, "end": 2007.13, "word": " إلى", "probability": 0.45703125}, {"start": 2007.13, "end": 2007.79, "word": " الشكل", "probability": 0.969482421875}, {"start": 2007.79, "end": 2008.67, "word": " التالي", "probability": 0.98486328125}, {"start": 2008.67, "end": 2009.53, "word": " هذه", "probability": 0.38916015625}, {"start": 2009.53, "end": 2010.33, "word": " y", "probability": 0.8251953125}, {"start": 2010.33, "end": 2011.03, "word": " تربيع", "probability": 0.630126953125}], "temperature": 1.0}, {"id": 90, "seek": 203877, "start": 2026.45, "end": 2038.77, "text": "سؤال الرابع سؤال الرابع بيقول تكامل x أُس خمسة e أُس x تربية dx", "tokens": [3794, 33604, 6027, 34892, 16758, 3615, 8608, 33604, 6027, 34892, 16758, 3615, 4724, 1829, 39648, 6055, 4117, 10943, 1211, 2031, 5551, 10859, 3794, 16490, 2304, 3794, 3660, 308, 5551, 10859, 3794, 2031, 6055, 25513, 10632, 30017], "avg_logprob": -0.35916385135135137, "compression_ratio": 1.3170731707317074, "no_speech_prob": 0.0, "words": [{"start": 2026.4499999999998, "end": 2027.85, "word": "سؤال", "probability": 0.6824544270833334}, {"start": 2027.85, "end": 2029.25, "word": " الرابع", "probability": 0.8675130208333334}, {"start": 2029.25, "end": 2030.27, "word": " سؤال", "probability": 0.700439453125}, {"start": 2030.27, "end": 2031.05, "word": " الرابع", "probability": 0.9806315104166666}, {"start": 2031.05, "end": 2032.23, "word": " بيقول", "probability": 0.721923828125}, {"start": 2032.23, "end": 2033.39, "word": " تكامل", "probability": 0.818359375}, {"start": 2033.39, "end": 2034.25, "word": " x", "probability": 0.494140625}, {"start": 2034.25, "end": 2034.85, "word": " أُس", "probability": 0.5662027994791666}, {"start": 2034.85, "end": 2035.87, "word": " خمسة", "probability": 0.9423828125}, {"start": 2035.87, "end": 2036.45, "word": " e", "probability": 0.296630859375}, {"start": 2036.45, "end": 2037.01, "word": " أُس", "probability": 0.8971354166666666}, {"start": 2037.01, "end": 2037.39, "word": " x", "probability": 0.94189453125}, {"start": 2037.39, "end": 2038.11, "word": " تربية", "probability": 0.79833984375}, {"start": 2038.11, "end": 2038.77, "word": " dx", "probability": 0.798828125}], "temperature": 1.0}, {"id": 91, "seek": 206631, "start": 2041.05, "end": 2066.31, "text": "هذه على الجدول؟ لأ. ليش؟ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ ل", "tokens": [3224, 24192, 15844, 25724, 3215, 12610, 22807, 5296, 10721, 13, 32239, 8592, 22807, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296, 10721, 5296], "avg_logprob": -0.07409722328186036, "compression_ratio": 10.574074074074074, "no_speech_prob": 0.0, "words": [{"start": 2041.05, "end": 2041.39, "word": "هذه", "probability": 0.5845947265625}, {"start": 2041.39, "end": 2041.51, "word": " على", "probability": 0.45166015625}, {"start": 2041.51, "end": 2042.37, "word": " الجدول؟", "probability": 0.925537109375}, {"start": 2042.37, "end": 2043.09, "word": " لأ.", "probability": 0.5538330078125}, {"start": 2043.99, "end": 2044.47, "word": " ليش؟", "probability": 0.7786458333333334}, {"start": 2044.47, "end": 2044.85, "word": " لأ", "probability": 0.600830078125}, {"start": 2044.85, "end": 2045.09, "word": " لأ", "probability": 0.577392578125}, {"start": 2045.09, "end": 2045.29, "word": " لأ", "probability": 0.82666015625}, {"start": 2045.29, "end": 2045.51, "word": " لأ", "probability": 0.83447265625}, {"start": 2045.51, "end": 2045.83, "word": " لأ", "probability": 0.83349609375}, {"start": 2045.83, "end": 2045.99, "word": " لأ", "probability": 0.82861328125}, {"start": 2045.99, "end": 2046.03, "word": " لأ", "probability": 0.846923828125}, {"start": 2046.03, "end": 2046.09, "word": " لأ", "probability": 0.876220703125}, {"start": 2046.09, "end": 2046.15, "word": " لأ", "probability": 0.896728515625}, {"start": 2046.15, "end": 2046.19, "word": " لأ", "probability": 0.910888671875}, {"start": 2046.19, "end": 2046.23, "word": " لأ", "probability": 0.9189453125}, {"start": 2046.23, "end": 2046.27, "word": " لأ", "probability": 0.922119140625}, {"start": 2046.27, "end": 2046.55, "word": " لأ", "probability": 0.925048828125}, {"start": 2046.55, "end": 2046.59, "word": " لأ", "probability": 0.926025390625}, {"start": 2046.59, "end": 2046.99, "word": " لأ", "probability": 0.927734375}, {"start": 2046.99, "end": 2046.99, "word": " لأ", "probability": 0.9296875}, {"start": 2046.99, "end": 2046.99, "word": " لأ", "probability": 0.930908203125}, {"start": 2046.99, "end": 2047.01, "word": " لأ", "probability": 0.933837890625}, {"start": 2047.01, "end": 2047.05, "word": " لأ", "probability": 0.935546875}, {"start": 2047.05, "end": 2047.19, "word": " لأ", "probability": 0.93896484375}, {"start": 2047.19, "end": 2047.19, "word": " لأ", "probability": 0.9423828125}, {"start": 2047.19, "end": 2047.31, "word": " لأ", "probability": 0.94384765625}, {"start": 2047.31, "end": 2047.31, "word": " لأ", "probability": 0.94677734375}, {"start": 2047.31, "end": 2047.31, "word": " لأ", "probability": 0.947998046875}, {"start": 2047.31, "end": 2047.31, "word": " لأ", "probability": 0.949951171875}, {"start": 2047.31, "end": 2047.61, "word": " لأ", "probability": 0.951171875}, {"start": 2047.61, "end": 2048.35, "word": " لأ", "probability": 0.953369140625}, {"start": 2048.35, "end": 2048.91, "word": " لأ", "probability": 0.955322265625}, {"start": 2048.91, "end": 2048.95, "word": " لأ", "probability": 0.9560546875}, {"start": 2048.95, "end": 2049.03, "word": " لأ", "probability": 0.957763671875}, {"start": 2049.03, "end": 2049.03, "word": " لأ", "probability": 0.959228515625}, {"start": 2049.03, "end": 2049.03, "word": " لأ", "probability": 0.96044921875}, {"start": 2049.03, "end": 2049.03, "word": " لأ", "probability": 0.9619140625}, {"start": 2049.03, "end": 2049.03, "word": " لأ", "probability": 0.96337890625}, {"start": 2049.03, "end": 2049.03, "word": " لأ", "probability": 0.96435546875}, {"start": 2049.03, "end": 2049.03, "word": " لأ", "probability": 0.96484375}, {"start": 2049.03, "end": 2049.03, "word": " لأ", "probability": 0.966064453125}, {"start": 2049.03, "end": 2049.03, "word": " لأ", "probability": 0.966796875}, {"start": 2049.03, "end": 2049.03, "word": " لأ", "probability": 0.968017578125}, {"start": 2049.03, "end": 2049.13, "word": " لأ", "probability": 0.96875}, {"start": 2049.13, "end": 2049.13, "word": " لأ", "probability": 0.969482421875}, {"start": 2049.13, "end": 2049.39, "word": " لأ", "probability": 0.970458984375}, {"start": 2049.39, "end": 2049.65, "word": " لأ", "probability": 0.97119140625}, {"start": 2049.65, "end": 2049.65, "word": " لأ", "probability": 0.972412109375}, {"start": 2049.65, "end": 2049.79, "word": " لأ", "probability": 0.973388671875}, {"start": 2049.79, "end": 2049.79, "word": " لأ", "probability": 0.97314453125}, {"start": 2049.79, "end": 2049.93, "word": " لأ", "probability": 0.973876953125}, {"start": 2049.93, "end": 2049.93, "word": " لأ", "probability": 0.974365234375}, {"start": 2049.93, "end": 2050.97, "word": " لأ", "probability": 0.974853515625}, {"start": 2050.97, "end": 2050.97, "word": " لأ", "probability": 0.9755859375}, {"start": 2050.97, "end": 2050.97, "word": " لأ", "probability": 0.976318359375}, {"start": 2050.97, "end": 2051.63, "word": " لأ", "probability": 0.97705078125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.9775390625}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.978271484375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.978271484375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.978759765625}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.979248046875}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.979736328125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.97998046875}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.98046875}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.98095703125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.981689453125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.981689453125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.98193359375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.98193359375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.982177734375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.98291015625}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.982666015625}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.9833984375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.983642578125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.9833984375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.98388671875}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.984130859375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.984130859375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.984130859375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.984619140625}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.98486328125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.985107421875}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.985595703125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.985595703125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.985595703125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.9853515625}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.985595703125}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.98583984375}, {"start": 2051.63, "end": 2051.63, "word": " لأ", "probability": 0.986083984375}, {"start": 2051.63, "end": 2051.87, "word": " لأ", "probability": 0.986083984375}, {"start": 2051.87, "end": 2052.05, "word": " لأ", "probability": 0.986083984375}, {"start": 2052.05, "end": 2052.05, "word": " لأ", "probability": 0.986083984375}, {"start": 2052.05, "end": 2052.09, "word": " لأ", "probability": 0.98583984375}, {"start": 2052.09, "end": 2052.09, "word": " لأ", "probability": 0.986083984375}, {"start": 2052.09, "end": 2052.09, "word": " لأ", "probability": 0.98583984375}, {"start": 2052.09, "end": 2052.09, "word": " لأ", "probability": 0.986328125}, {"start": 2052.09, "end": 2052.09, "word": " لأ", "probability": 0.98583984375}, {"start": 2052.09, "end": 2052.09, "word": " لأ", "probability": 0.986328125}, {"start": 2052.09, "end": 2052.09, "word": " لأ", "probability": 0.986572265625}, {"start": 2052.09, "end": 2052.09, "word": " لأ", "probability": 0.986572265625}, {"start": 2052.09, "end": 2052.09, "word": " لأ", "probability": 0.986328125}, {"start": 2052.09, "end": 2052.09, "word": " لأ", "probability": 0.986328125}, {"start": 2052.09, "end": 2052.09, "word": " لأ", "probability": 0.986328125}, {"start": 2052.09, "end": 2052.35, "word": " لأ", "probability": 0.986328125}, {"start": 2052.35, "end": 2053.37, "word": " لأ", "probability": 0.986328125}, {"start": 2053.37, "end": 2053.89, "word": " لأ", "probability": 0.986328125}, {"start": 2053.89, "end": 2057.73, "word": " لأ", "probability": 0.986328125}, {"start": 2057.73, "end": 2066.31, "word": " لأ", "probability": 0.986083984375}, {"start": 2066.31, "end": 2066.31, "word": " لأ", "probability": 0.986328125}, {"start": 2066.31, "end": 2066.31, "word": " ل", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 92, "seek": 207958, "start": 2066.56, "end": 2079.58, "text": "الإكسوس خامسة ليه إكسوس أربعة في إكس؟ والإكسوس أربعة هي X تربيه تربيه في X في E أُس X تربيه في DX", "tokens": [6027, 28814, 4117, 3794, 41779, 16490, 10943, 3794, 3660, 32239, 3224, 11933, 4117, 3794, 41779, 5551, 25513, 27884, 8978, 11933, 4117, 3794, 22807, 16070, 28814, 4117, 3794, 41779, 5551, 25513, 27884, 39896, 1783, 6055, 2288, 21292, 3224, 6055, 2288, 21292, 3224, 8978, 1783, 8978, 462, 5551, 10859, 3794, 1783, 6055, 2288, 21292, 3224, 8978, 48817], "avg_logprob": -0.2640904060431889, "compression_ratio": 1.67, "no_speech_prob": 0.0, "words": [{"start": 2066.56, "end": 2067.32, "word": "الإكسوس", "probability": 0.686126708984375}, {"start": 2067.32, "end": 2067.88, "word": " خامسة", "probability": 0.7967529296875}, {"start": 2067.88, "end": 2068.1, "word": " ليه", "probability": 0.822998046875}, {"start": 2068.1, "end": 2068.5, "word": " إكسوس", "probability": 0.8350830078125}, {"start": 2068.5, "end": 2069.08, "word": " أربعة", "probability": 0.8575846354166666}, {"start": 2069.08, "end": 2069.28, "word": " في", "probability": 0.9111328125}, {"start": 2069.28, "end": 2069.84, "word": " إكس؟", "probability": 0.7442626953125}, {"start": 2069.84, "end": 2071.1, "word": " والإكسوس", "probability": 0.8939453125}, {"start": 2071.1, "end": 2071.76, "word": " أربعة", "probability": 0.953125}, {"start": 2071.76, "end": 2072.08, "word": " هي", "probability": 0.87353515625}, {"start": 2072.08, "end": 2072.66, "word": " X", "probability": 0.371826171875}, {"start": 2072.66, "end": 2073.74, "word": " تربيه", "probability": 0.767333984375}, {"start": 2073.74, "end": 2075.08, "word": " تربيه", "probability": 0.853759765625}, {"start": 2075.08, "end": 2075.58, "word": " في", "probability": 0.95361328125}, {"start": 2075.58, "end": 2076.08, "word": " X", "probability": 0.806640625}, {"start": 2076.08, "end": 2076.74, "word": " في", "probability": 0.923828125}, {"start": 2076.74, "end": 2077.22, "word": " E", "probability": 0.81640625}, {"start": 2077.22, "end": 2077.8, "word": " أُس", "probability": 0.69384765625}, {"start": 2077.8, "end": 2078.22, "word": " X", "probability": 0.962890625}, {"start": 2078.22, "end": 2079.04, "word": " تربيه", "probability": 0.966552734375}, {"start": 2079.04, "end": 2079.2, "word": " في", "probability": 0.96533203125}, {"start": 2079.2, "end": 2079.58, "word": " DX", "probability": 0.63623046875}], "temperature": 1.0}, {"id": 93, "seek": 209727, "start": 2080.43, "end": 2097.27, "text": "أذا كتبت المثل على الشكل الجديد اللي قدامنا هذا لمصعب المثل ايه؟ إذا بدي أشيل ال X تربيع و أحطها بأي متغير آخر، إذا لو جيت حطيتي T تساوي X تربيع", "tokens": [10721, 15730, 9122, 2655, 3555, 2655, 9673, 12984, 1211, 15844, 25124, 28820, 25724, 16254, 3215, 13672, 1829, 12174, 3215, 10943, 8315, 23758, 32767, 9381, 3615, 3555, 9673, 12984, 1211, 1975, 1829, 3224, 22807, 11933, 15730, 4724, 16254, 5551, 8592, 26895, 2423, 1783, 6055, 2288, 21292, 3615, 4032, 5551, 5016, 9566, 11296, 4724, 10721, 1829, 44650, 17082, 13546, 19753, 34740, 12399, 11933, 15730, 45164, 10874, 36081, 11331, 9566, 1829, 31371, 314, 6055, 3794, 995, 45865, 1783, 6055, 2288, 21292, 3615], "avg_logprob": -0.2808593776077032, "compression_ratio": 1.624203821656051, "no_speech_prob": 0.0, "words": [{"start": 2080.43, "end": 2080.77, "word": "أذا", "probability": 0.3648681640625}, {"start": 2080.77, "end": 2081.41, "word": " كتبت", "probability": 0.948486328125}, {"start": 2081.41, "end": 2081.95, "word": " المثل", "probability": 0.7290852864583334}, {"start": 2081.95, "end": 2082.17, "word": " على", "probability": 0.92236328125}, {"start": 2082.17, "end": 2082.65, "word": " الشكل", "probability": 0.925537109375}, {"start": 2082.65, "end": 2083.21, "word": " الجديد", "probability": 0.9747721354166666}, {"start": 2083.21, "end": 2083.37, "word": " اللي", "probability": 0.8203125}, {"start": 2083.37, "end": 2084.03, "word": " قدامنا", "probability": 0.92431640625}, {"start": 2084.03, "end": 2084.37, "word": " هذا", "probability": 0.744140625}, {"start": 2084.37, "end": 2085.95, "word": " لمصعب", "probability": 0.595458984375}, {"start": 2085.95, "end": 2086.43, "word": " المثل", "probability": 0.9446614583333334}, {"start": 2086.43, "end": 2086.99, "word": " ايه؟", "probability": 0.6435546875}, {"start": 2086.99, "end": 2088.11, "word": " إذا", "probability": 0.6480712890625}, {"start": 2088.11, "end": 2088.37, "word": " بدي", "probability": 0.574462890625}, {"start": 2088.37, "end": 2088.69, "word": " أشيل", "probability": 0.7103678385416666}, {"start": 2088.69, "end": 2088.81, "word": " ال", "probability": 0.6533203125}, {"start": 2088.81, "end": 2089.03, "word": " X", "probability": 0.63525390625}, {"start": 2089.03, "end": 2089.35, "word": " تربيع", "probability": 0.719970703125}, {"start": 2089.35, "end": 2089.47, "word": " و", "probability": 0.5400390625}, {"start": 2089.47, "end": 2089.95, "word": " أحطها", "probability": 0.713623046875}, {"start": 2089.95, "end": 2090.41, "word": " بأي", "probability": 0.9345703125}, {"start": 2090.41, "end": 2091.29, "word": " متغير", "probability": 0.96142578125}, {"start": 2091.29, "end": 2092.07, "word": " آخر،", "probability": 0.6864420572916666}, {"start": 2092.07, "end": 2092.45, "word": " إذا", "probability": 0.87890625}, {"start": 2092.45, "end": 2093.41, "word": " لو", "probability": 0.9892578125}, {"start": 2093.41, "end": 2093.73, "word": " جيت", "probability": 0.849609375}, {"start": 2093.73, "end": 2094.69, "word": " حطيتي", "probability": 0.77685546875}, {"start": 2094.69, "end": 2095.21, "word": " T", "probability": 0.8125}, {"start": 2095.21, "end": 2096.17, "word": " تساوي", "probability": 0.8577880859375}, {"start": 2096.17, "end": 2096.65, "word": " X", "probability": 0.9970703125}, {"start": 2096.65, "end": 2097.27, "word": " تربيع", "probability": 0.9344482421875}], "temperature": 1.0}, {"id": 94, "seek": 211423, "start": 2097.61, "end": 2114.23, "text": "يبقى دي تي باتنين اكس دي اكس ماعنديش اتنينات بنجسم على اتنين بيصير نص دي تي بده يساوي الاكس دي اكس يبقى الاكس مع الدي اكس هذه كلها بشيل اجهات مكان امام", "tokens": [1829, 3555, 4587, 7578, 11778, 1829, 6055, 1829, 4724, 9307, 1863, 9957, 1975, 4117, 3794, 11778, 1829, 1975, 4117, 3794, 19446, 3615, 1863, 16254, 8592, 1975, 2655, 1863, 9957, 9307, 44945, 7435, 38251, 15844, 1975, 2655, 1863, 9957, 4724, 1829, 9381, 13546, 8717, 9381, 11778, 1829, 6055, 1829, 47525, 3224, 7251, 3794, 995, 45865, 42963, 4117, 3794, 11778, 1829, 1975, 4117, 3794, 7251, 3555, 4587, 7578, 42963, 4117, 3794, 20449, 2423, 16254, 1975, 4117, 3794, 29538, 28242, 11296, 4724, 8592, 26895, 1975, 7435, 3224, 9307, 3714, 41361, 1975, 2304, 10943], "avg_logprob": -0.2639079683429592, "compression_ratio": 1.9781021897810218, "no_speech_prob": 0.0, "words": [{"start": 2097.61, "end": 2098.41, "word": "يبقى", "probability": 0.68231201171875}, {"start": 2098.41, "end": 2098.79, "word": " دي", "probability": 0.5517578125}, {"start": 2098.79, "end": 2099.31, "word": " تي", "probability": 0.614013671875}, {"start": 2099.31, "end": 2100.21, "word": " باتنين", "probability": 0.84130859375}, {"start": 2100.21, "end": 2100.87, "word": " اكس", "probability": 0.83984375}, {"start": 2100.87, "end": 2101.41, "word": " دي", "probability": 0.85693359375}, {"start": 2101.41, "end": 2101.89, "word": " اكس", "probability": 0.97900390625}, {"start": 2101.89, "end": 2102.89, "word": " ماعنديش", "probability": 0.80927734375}, {"start": 2102.89, "end": 2103.75, "word": " اتنينات", "probability": 0.93271484375}, {"start": 2103.75, "end": 2104.65, "word": " بنجسم", "probability": 0.76318359375}, {"start": 2104.65, "end": 2105.33, "word": " على", "probability": 0.70947265625}, {"start": 2105.33, "end": 2105.73, "word": " اتنين", "probability": 0.96875}, {"start": 2105.73, "end": 2106.29, "word": " بيصير", "probability": 0.8499755859375}, {"start": 2106.29, "end": 2106.75, "word": " نص", "probability": 0.80517578125}, {"start": 2106.75, "end": 2107.17, "word": " دي", "probability": 0.849853515625}, {"start": 2107.17, "end": 2107.61, "word": " تي", "probability": 0.9404296875}, {"start": 2107.61, "end": 2108.43, "word": " بده", "probability": 0.6571044921875}, {"start": 2108.43, "end": 2108.79, "word": " يساوي", "probability": 0.932373046875}, {"start": 2108.79, "end": 2109.33, "word": " الاكس", "probability": 0.7246907552083334}, {"start": 2109.33, "end": 2109.57, "word": " دي", "probability": 0.972412109375}, {"start": 2109.57, "end": 2109.81, "word": " اكس", "probability": 0.9910481770833334}, {"start": 2109.81, "end": 2110.21, "word": " يبقى", "probability": 0.91748046875}, {"start": 2110.21, "end": 2111.07, "word": " الاكس", "probability": 0.95556640625}, {"start": 2111.07, "end": 2111.35, "word": " مع", "probability": 0.86865234375}, {"start": 2111.35, "end": 2111.69, "word": " الدي", "probability": 0.60888671875}, {"start": 2111.69, "end": 2112.07, "word": " اكس", "probability": 0.9752604166666666}, {"start": 2112.07, "end": 2112.29, "word": " هذه", "probability": 0.28076171875}, {"start": 2112.29, "end": 2112.73, "word": " كلها", "probability": 0.5833740234375}, {"start": 2112.73, "end": 2113.09, "word": " بشيل", "probability": 0.8601888020833334}, {"start": 2113.09, "end": 2113.49, "word": " اجهات", "probability": 0.5228271484375}, {"start": 2113.49, "end": 2113.79, "word": " مكان", "probability": 0.92138671875}, {"start": 2113.79, "end": 2114.23, "word": " امام", "probability": 0.8570963541666666}], "temperature": 1.0}, {"id": 95, "seek": 213939, "start": 2114.91, "end": 2139.39, "text": "نص DT يبقى نص تكامل X تربية ب T في تربية برة يبقى T تربية وهذا يصبح E أس T وX DX بنص DT على الجدول؟ عملنا واحدة زيها اختتوا؟ يبقى هذه زيها", "tokens": [1863, 9381, 413, 51, 7251, 3555, 4587, 7578, 8717, 9381, 6055, 4117, 10943, 1211, 1783, 6055, 25513, 10632, 4724, 314, 8978, 6055, 25513, 10632, 4724, 25720, 7251, 3555, 4587, 7578, 314, 6055, 25513, 10632, 37037, 15730, 7251, 9381, 49628, 462, 5551, 3794, 314, 4032, 55, 48817, 44945, 9381, 413, 51, 15844, 25724, 3215, 12610, 22807, 6225, 42213, 8315, 36764, 24401, 3660, 30767, 1829, 11296, 1975, 46456, 2655, 14407, 22807, 7251, 3555, 4587, 7578, 29538, 30767, 1829, 11296], "avg_logprob": -0.2782451980389081, "compression_ratio": 1.6, "no_speech_prob": 0.0, "words": [{"start": 2114.91, "end": 2115.55, "word": "نص", "probability": 0.5623779296875}, {"start": 2115.55, "end": 2116.15, "word": " DT", "probability": 0.565673828125}, {"start": 2116.15, "end": 2116.67, "word": " يبقى", "probability": 0.95849609375}, {"start": 2116.67, "end": 2117.19, "word": " نص", "probability": 0.984375}, {"start": 2117.19, "end": 2118.61, "word": " تكامل", "probability": 0.9635009765625}, {"start": 2118.61, "end": 2119.41, "word": " X", "probability": 0.5302734375}, {"start": 2119.41, "end": 2119.97, "word": " تربية", "probability": 0.7014973958333334}, {"start": 2119.97, "end": 2120.17, "word": " ب", "probability": 0.443603515625}, {"start": 2120.17, "end": 2120.63, "word": " T", "probability": 0.64453125}, {"start": 2120.63, "end": 2121.13, "word": " في", "probability": 0.501953125}, {"start": 2121.13, "end": 2121.79, "word": " تربية", "probability": 0.9404296875}, {"start": 2121.79, "end": 2122.21, "word": " برة", "probability": 0.716552734375}, {"start": 2122.21, "end": 2122.57, "word": " يبقى", "probability": 0.9429931640625}, {"start": 2122.57, "end": 2122.87, "word": " T", "probability": 0.537109375}, {"start": 2122.87, "end": 2123.57, "word": " تربية", "probability": 0.9757486979166666}, {"start": 2123.57, "end": 2124.93, "word": " وهذا", "probability": 0.5067138671875}, {"start": 2124.93, "end": 2125.67, "word": " يصبح", "probability": 0.6647135416666666}, {"start": 2125.67, "end": 2126.23, "word": " E", "probability": 0.89208984375}, {"start": 2126.23, "end": 2126.89, "word": " أس", "probability": 0.602294921875}, {"start": 2126.89, "end": 2127.29, "word": " T", "probability": 0.9697265625}, {"start": 2127.29, "end": 2128.53, "word": " وX", "probability": 0.457275390625}, {"start": 2128.53, "end": 2129.09, "word": " DX", "probability": 0.88427734375}, {"start": 2129.09, "end": 2130.03, "word": " بنص", "probability": 0.8671875}, {"start": 2130.03, "end": 2131.55, "word": " DT", "probability": 0.944580078125}, {"start": 2131.55, "end": 2133.27, "word": " على", "probability": 0.7265625}, {"start": 2133.27, "end": 2134.11, "word": " الجدول؟", "probability": 0.8116455078125}, {"start": 2134.11, "end": 2135.47, "word": " عملنا", "probability": 0.87353515625}, {"start": 2135.47, "end": 2135.81, "word": " واحدة", "probability": 0.95068359375}, {"start": 2135.81, "end": 2136.13, "word": " زيها", "probability": 0.9303385416666666}, {"start": 2136.13, "end": 2137.31, "word": " اختتوا؟", "probability": 0.601513671875}, {"start": 2137.31, "end": 2138.25, "word": " يبقى", "probability": 0.9453125}, {"start": 2138.25, "end": 2138.65, "word": " هذه", "probability": 0.4619140625}, {"start": 2138.65, "end": 2139.39, "word": " زيها", "probability": 0.9908854166666666}], "temperature": 1.0}, {"id": 96, "seek": 216117, "start": 2141.77, "end": 2161.17, "text": "طيب، بروح على رقم خمسة، خمسة، بيقول ال integration من zero لغاية واحد على جدر اتنين للاتنين X sine inverse لمين؟ لل X تربيها كله في DX", "tokens": [9566, 1829, 3555, 12399, 4724, 32887, 5016, 15844, 12602, 4587, 2304, 16490, 2304, 3794, 3660, 12399, 16490, 2304, 3794, 3660, 12399, 4724, 1829, 39648, 2423, 10980, 9154, 4018, 5296, 17082, 995, 10632, 36764, 24401, 15844, 10874, 3215, 2288, 1975, 2655, 1863, 9957, 24976, 9307, 1863, 9957, 1783, 18609, 17340, 32767, 9957, 22807, 24976, 1783, 6055, 2288, 21292, 11296, 28242, 3224, 8978, 48817], "avg_logprob": -0.2762896683481004, "compression_ratio": 1.3503184713375795, "no_speech_prob": 0.0, "words": [{"start": 2141.77, "end": 2142.39, "word": "طيب،", "probability": 0.57879638671875}, {"start": 2142.39, "end": 2142.93, "word": " بروح", "probability": 0.8269856770833334}, {"start": 2142.93, "end": 2143.29, "word": " على", "probability": 0.9169921875}, {"start": 2143.29, "end": 2144.01, "word": " رقم", "probability": 0.9778645833333334}, {"start": 2144.01, "end": 2145.39, "word": " خمسة،", "probability": 0.8021484375}, {"start": 2145.39, "end": 2146.39, "word": " خمسة،", "probability": 0.823583984375}, {"start": 2146.39, "end": 2147.51, "word": " بيقول", "probability": 0.9773763020833334}, {"start": 2147.51, "end": 2147.69, "word": " ال", "probability": 0.400390625}, {"start": 2147.69, "end": 2148.59, "word": " integration", "probability": 0.8984375}, {"start": 2148.59, "end": 2149.81, "word": " من", "probability": 0.9853515625}, {"start": 2149.81, "end": 2150.45, "word": " zero", "probability": 0.5234375}, {"start": 2150.45, "end": 2151.29, "word": " لغاية", "probability": 0.982177734375}, {"start": 2151.29, "end": 2151.79, "word": " واحد", "probability": 0.953857421875}, {"start": 2151.79, "end": 2152.15, "word": " على", "probability": 0.77294921875}, {"start": 2152.15, "end": 2152.71, "word": " جدر", "probability": 0.8566080729166666}, {"start": 2152.71, "end": 2153.35, "word": " اتنين", "probability": 0.88134765625}, {"start": 2153.35, "end": 2154.93, "word": " للاتنين", "probability": 0.623687744140625}, {"start": 2154.93, "end": 2155.51, "word": " X", "probability": 0.57373046875}, {"start": 2155.51, "end": 2156.19, "word": " sine", "probability": 0.51025390625}, {"start": 2156.19, "end": 2157.13, "word": " inverse", "probability": 0.9267578125}, {"start": 2157.13, "end": 2158.59, "word": " لمين؟", "probability": 0.73876953125}, {"start": 2158.59, "end": 2158.89, "word": " لل", "probability": 0.8525390625}, {"start": 2158.89, "end": 2159.41, "word": " X", "probability": 0.84033203125}, {"start": 2159.41, "end": 2160.29, "word": " تربيها", "probability": 0.70135498046875}, {"start": 2160.29, "end": 2160.77, "word": " كله", "probability": 0.91064453125}, {"start": 2160.77, "end": 2160.89, "word": " في", "probability": 0.96533203125}, {"start": 2160.89, "end": 2161.17, "word": " DX", "probability": 0.91455078125}], "temperature": 1.0}, {"id": 97, "seek": 218021, "start": 2164.28, "end": 2180.22, "text": "لمصحى بالمثل امين او لوضعها مش طبيعى امين اكس تربيع طيب اذا بدنا نشيلها و نحطها بحط لي θ تساوي اكس تربيع يبقى d θ يساوي اتنين اكس dx", "tokens": [1211, 2304, 9381, 5016, 7578, 20666, 2304, 12984, 1211, 1975, 2304, 9957, 1975, 2407, 5296, 2407, 11242, 3615, 11296, 37893, 23032, 21292, 3615, 7578, 1975, 2304, 9957, 1975, 4117, 3794, 6055, 2288, 21292, 3615, 23032, 1829, 3555, 1975, 15730, 47525, 8315, 8717, 8592, 26895, 11296, 4032, 8717, 5016, 9566, 11296, 4724, 5016, 9566, 32239, 12622, 6055, 3794, 995, 45865, 1975, 4117, 3794, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 274, 12622, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 30017], "avg_logprob": -0.29227941597209256, "compression_ratio": 1.7007299270072993, "no_speech_prob": 0.0, "words": [{"start": 2164.28, "end": 2164.98, "word": "لمصحى", "probability": 0.43270263671875}, {"start": 2164.98, "end": 2165.5, "word": " بالمثل", "probability": 0.822021484375}, {"start": 2165.5, "end": 2165.88, "word": " امين", "probability": 0.6842447916666666}, {"start": 2165.88, "end": 2166.06, "word": " او", "probability": 0.842529296875}, {"start": 2166.06, "end": 2166.48, "word": " لوضعها", "probability": 0.6867431640625}, {"start": 2166.48, "end": 2166.62, "word": " مش", "probability": 0.65185546875}, {"start": 2166.62, "end": 2167.0, "word": " طبيعى", "probability": 0.873291015625}, {"start": 2167.0, "end": 2167.46, "word": " امين", "probability": 0.9375}, {"start": 2167.46, "end": 2168.58, "word": " اكس", "probability": 0.6744384765625}, {"start": 2168.58, "end": 2169.22, "word": " تربيع", "probability": 0.76202392578125}, {"start": 2169.22, "end": 2170.32, "word": " طيب", "probability": 0.7549641927083334}, {"start": 2170.32, "end": 2170.68, "word": " اذا", "probability": 0.80615234375}, {"start": 2170.68, "end": 2171.06, "word": " بدنا", "probability": 0.570068359375}, {"start": 2171.06, "end": 2171.5, "word": " نشيلها", "probability": 0.9267578125}, {"start": 2171.5, "end": 2171.58, "word": " و", "probability": 0.978515625}, {"start": 2171.58, "end": 2172.18, "word": " نحطها", "probability": 0.85693359375}, {"start": 2172.18, "end": 2173.04, "word": " بحط", "probability": 0.7921549479166666}, {"start": 2173.04, "end": 2173.24, "word": " لي", "probability": 0.5126953125}, {"start": 2173.24, "end": 2173.7, "word": " θ", "probability": 0.5966796875}, {"start": 2173.7, "end": 2174.56, "word": " تساوي", "probability": 0.836669921875}, {"start": 2174.56, "end": 2175.0, "word": " اكس", "probability": 0.9287109375}, {"start": 2175.0, "end": 2175.52, "word": " تربيع", "probability": 0.9259033203125}, {"start": 2175.52, "end": 2176.62, "word": " يبقى", "probability": 0.9619140625}, {"start": 2176.62, "end": 2176.88, "word": " d", "probability": 0.5888671875}, {"start": 2176.88, "end": 2177.4, "word": " θ", "probability": 0.5810546875}, {"start": 2177.4, "end": 2178.2, "word": " يساوي", "probability": 0.9552001953125}, {"start": 2178.2, "end": 2179.04, "word": " اتنين", "probability": 0.937744140625}, {"start": 2179.04, "end": 2179.82, "word": " اكس", "probability": 0.89111328125}, {"start": 2179.82, "end": 2180.22, "word": " dx", "probability": 0.65234375}], "temperature": 1.0}, {"id": 98, "seek": 219789, "start": 2180.87, "end": 2197.89, "text": "إذا اتنين اكس مع الدي اكس هذه كلها بدي اشيلها و اكتبها دلها مين؟ دي ثيتا يبقى صار تكامل ل sign inverse ثيتا دي ثيتا وبقيت مين؟", "tokens": [28814, 15730, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 20449, 2423, 16254, 1975, 4117, 3794, 29538, 28242, 11296, 4724, 16254, 1975, 8592, 26895, 11296, 4032, 1975, 4117, 2655, 3555, 11296, 11778, 1211, 11296, 3714, 9957, 22807, 11778, 1829, 38637, 36081, 995, 7251, 3555, 4587, 7578, 20328, 9640, 6055, 4117, 10943, 1211, 5296, 1465, 17340, 38637, 36081, 995, 11778, 1829, 38637, 36081, 995, 46599, 4587, 36081, 3714, 9957, 22807], "avg_logprob": -0.3177083316056625, "compression_ratio": 1.5693430656934306, "no_speech_prob": 0.0, "words": [{"start": 2180.87, "end": 2181.35, "word": "إذا", "probability": 0.5230712890625}, {"start": 2181.35, "end": 2182.31, "word": " اتنين", "probability": 0.77301025390625}, {"start": 2182.31, "end": 2182.89, "word": " اكس", "probability": 0.7115885416666666}, {"start": 2182.89, "end": 2183.23, "word": " مع", "probability": 0.94775390625}, {"start": 2183.23, "end": 2183.67, "word": " الدي", "probability": 0.517822265625}, {"start": 2183.67, "end": 2184.11, "word": " اكس", "probability": 0.9104817708333334}, {"start": 2184.11, "end": 2184.39, "word": " هذه", "probability": 0.19482421875}, {"start": 2184.39, "end": 2184.79, "word": " كلها", "probability": 0.816162109375}, {"start": 2184.79, "end": 2185.01, "word": " بدي", "probability": 0.364501953125}, {"start": 2185.01, "end": 2185.35, "word": " اشيلها", "probability": 0.7586669921875}, {"start": 2185.35, "end": 2185.45, "word": " و", "probability": 0.5400390625}, {"start": 2185.45, "end": 2185.73, "word": " اكتبها", "probability": 0.9130859375}, {"start": 2185.73, "end": 2185.97, "word": " دلها", "probability": 0.629150390625}, {"start": 2185.97, "end": 2186.87, "word": " مين؟", "probability": 0.7985026041666666}, {"start": 2186.87, "end": 2187.51, "word": " دي", "probability": 0.719482421875}, {"start": 2187.51, "end": 2188.03, "word": " ثيتا", "probability": 0.8660481770833334}, {"start": 2188.03, "end": 2188.59, "word": " يبقى", "probability": 0.9320068359375}, {"start": 2188.59, "end": 2189.21, "word": " صار", "probability": 0.880615234375}, {"start": 2189.21, "end": 2190.37, "word": " تكامل", "probability": 0.9830322265625}, {"start": 2190.37, "end": 2191.09, "word": " ل", "probability": 0.958984375}, {"start": 2191.09, "end": 2191.81, "word": " sign", "probability": 0.315185546875}, {"start": 2191.81, "end": 2192.75, "word": " inverse", "probability": 0.88720703125}, {"start": 2192.75, "end": 2193.91, "word": " ثيتا", "probability": 0.7064615885416666}, {"start": 2193.91, "end": 2194.67, "word": " دي", "probability": 0.953369140625}, {"start": 2194.67, "end": 2195.61, "word": " ثيتا", "probability": 0.9544270833333334}, {"start": 2195.61, "end": 2197.23, "word": " وبقيت", "probability": 0.6334635416666666}, {"start": 2197.23, "end": 2197.89, "word": " مين؟", "probability": 0.9137369791666666}], "temperature": 1.0}, {"id": 99, "seek": 222638, "start": 2198.12, "end": 2226.38, "text": "حدود التكامل لما تبقى X بواحد على الجذر يتنين بصير تيتا بقداش نصف و لما تبقى X بزيره بصير تيتا اف زيره هذا السؤال اللي حلناه قبل شوية اول مبدأ محاضرتنا اليوم فيه تمام؟ يبقى كمان هذا زيه طيب بلاش زيه كتبنا الجواب كده طالع عندك", "tokens": [5016, 3215, 23328, 16712, 4117, 10943, 1211, 5296, 15042, 6055, 3555, 4587, 7578, 1783, 4724, 14407, 24401, 15844, 25724, 8848, 2288, 7251, 2655, 1863, 9957, 4724, 9381, 13546, 6055, 36081, 995, 4724, 28543, 33599, 8717, 9381, 5172, 4032, 5296, 15042, 6055, 3555, 4587, 7578, 1783, 4724, 11622, 13546, 3224, 4724, 9381, 13546, 6055, 36081, 995, 1975, 5172, 30767, 13546, 3224, 23758, 21136, 33604, 6027, 13672, 1829, 11331, 1211, 8315, 3224, 12174, 36150, 13412, 2407, 10632, 1975, 12610, 3714, 44510, 10721, 3714, 5016, 46958, 43500, 8315, 45595, 20498, 8978, 3224, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 9122, 2304, 7649, 23758, 30767, 1829, 3224, 23032, 1829, 3555, 4724, 1211, 33599, 30767, 1829, 3224, 9122, 2655, 3555, 8315, 25724, 14407, 3555, 9122, 3215, 3224, 23032, 6027, 3615, 43242, 4117], "avg_logprob": -0.22863769717514515, "compression_ratio": 1.892018779342723, "no_speech_prob": 0.0, "words": [{"start": 2198.12, "end": 2198.62, "word": "حدود", "probability": 0.7672526041666666}, {"start": 2198.62, "end": 2199.54, "word": " التكامل", "probability": 0.9805908203125}, {"start": 2199.54, "end": 2200.22, "word": " لما", "probability": 0.6807861328125}, {"start": 2200.22, "end": 2200.72, "word": " تبقى", "probability": 0.9652099609375}, {"start": 2200.72, "end": 2200.96, "word": " X", "probability": 0.59912109375}, {"start": 2200.96, "end": 2201.6, "word": " بواحد", "probability": 0.9078776041666666}, {"start": 2201.6, "end": 2201.86, "word": " على", "probability": 0.7958984375}, {"start": 2201.86, "end": 2202.38, "word": " الجذر", "probability": 0.8509114583333334}, {"start": 2202.38, "end": 2202.82, "word": " يتنين", "probability": 0.669921875}, {"start": 2202.82, "end": 2203.82, "word": " بصير", "probability": 0.7815755208333334}, {"start": 2203.82, "end": 2204.2, "word": " تيتا", "probability": 0.6519775390625}, {"start": 2204.2, "end": 2205.0, "word": " بقداش", "probability": 0.7972005208333334}, {"start": 2205.0, "end": 2206.44, "word": " نصف", "probability": 0.4943440755208333}, {"start": 2206.44, "end": 2206.44, "word": " و", "probability": 0.61083984375}, {"start": 2206.44, "end": 2206.7, "word": " لما", "probability": 0.787841796875}, {"start": 2206.7, "end": 2207.16, "word": " تبقى", "probability": 0.994384765625}, {"start": 2207.16, "end": 2207.54, "word": " X", "probability": 0.97802734375}, {"start": 2207.54, "end": 2208.86, "word": " بزيره", "probability": 0.669921875}, {"start": 2208.86, "end": 2209.54, "word": " بصير", "probability": 0.9637044270833334}, {"start": 2209.54, "end": 2210.36, "word": " تيتا", "probability": 0.8515625}, {"start": 2210.36, "end": 2210.6, "word": " اف", "probability": 0.46441650390625}, {"start": 2210.6, "end": 2211.14, "word": " زيره", "probability": 0.8203125}, {"start": 2211.14, "end": 2212.22, "word": " هذا", "probability": 0.59033203125}, {"start": 2212.22, "end": 2212.46, "word": " السؤال", "probability": 0.9324544270833334}, {"start": 2212.46, "end": 2212.62, "word": " اللي", "probability": 0.725341796875}, {"start": 2212.62, "end": 2212.98, "word": " حلناه", "probability": 0.8948974609375}, {"start": 2212.98, "end": 2213.18, "word": " قبل", "probability": 0.990234375}, {"start": 2213.18, "end": 2213.8, "word": " شوية", "probability": 0.9462890625}, {"start": 2213.8, "end": 2214.72, "word": " اول", "probability": 0.87158203125}, {"start": 2214.72, "end": 2215.12, "word": " مبدأ", "probability": 0.7810872395833334}, {"start": 2215.12, "end": 2215.88, "word": " محاضرتنا", "probability": 0.9158203125}, {"start": 2215.88, "end": 2216.26, "word": " اليوم", "probability": 0.94970703125}, {"start": 2216.26, "end": 2216.88, "word": " فيه", "probability": 0.98046875}, {"start": 2216.88, "end": 2218.02, "word": " تمام؟", "probability": 0.6376139322916666}, {"start": 2218.02, "end": 2219.12, "word": " يبقى", "probability": 0.96337890625}, {"start": 2219.12, "end": 2219.7, "word": " كمان", "probability": 0.9773763020833334}, {"start": 2219.7, "end": 2220.08, "word": " هذا", "probability": 0.623046875}, {"start": 2220.08, "end": 2220.76, "word": " زيه", "probability": 0.9850260416666666}, {"start": 2220.76, "end": 2222.48, "word": " طيب", "probability": 0.8435872395833334}, {"start": 2222.48, "end": 2222.98, "word": " بلاش", "probability": 0.9352213541666666}, {"start": 2222.98, "end": 2223.32, "word": " زيه", "probability": 0.9830729166666666}, {"start": 2223.32, "end": 2224.58, "word": " كتبنا", "probability": 0.7502288818359375}, {"start": 2224.58, "end": 2225.08, "word": " الجواب", "probability": 0.9044596354166666}, {"start": 2225.08, "end": 2225.44, "word": " كده", "probability": 0.765625}, {"start": 2225.44, "end": 2225.82, "word": " طالع", "probability": 0.7869466145833334}, {"start": 2225.82, "end": 2226.38, "word": " عندك", "probability": 0.9931640625}], "temperature": 1.0}, {"id": 100, "seek": 225621, "start": 2227.3, "end": 2256.22, "text": "هذا يساوي كده؟ يبقى هذا theta sin inverse theta ناقص الجذر التربية، لاحظ ناقص theta تربية ناقص ولا زاد، تأكدلي، زاد؟ طب الخطية فارقة بتأكد، تمام؟ هذا الكلام الحين من وين لوين، من zero لغاية نص يبقى هذا previous", "tokens": [3224, 15730, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 7251, 3555, 4587, 7578, 23758, 9725, 3343, 17340, 9725, 8717, 995, 4587, 9381, 25724, 8848, 2288, 16712, 2288, 21292, 3660, 12399, 20193, 5016, 19913, 8717, 995, 4587, 9381, 9725, 6055, 2288, 21292, 3660, 8717, 995, 4587, 9381, 49429, 30767, 18513, 12399, 6055, 10721, 4117, 3215, 20292, 12399, 30767, 18513, 22807, 23032, 3555, 33962, 9566, 10632, 6156, 9640, 28671, 39894, 10721, 4117, 3215, 12399, 46811, 10943, 22807, 23758, 2423, 28820, 10943, 21542, 9957, 9154, 4032, 9957, 5296, 2407, 9957, 12399, 9154, 4018, 5296, 17082, 995, 10632, 8717, 9381, 7251, 3555, 4587, 7578, 23758, 3894], "avg_logprob": -0.3094951923076923, "compression_ratio": 1.7079207920792079, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2227.3, "end": 2228.82, "word": "هذا", "probability": 0.63330078125}, {"start": 2228.82, "end": 2229.46, "word": " يساوي", "probability": 0.8787841796875}, {"start": 2229.46, "end": 2230.28, "word": " كده؟", "probability": 0.55426025390625}, {"start": 2230.28, "end": 2232.98, "word": " يبقى", "probability": 0.8580322265625}, {"start": 2232.98, "end": 2233.34, "word": " هذا", "probability": 0.7666015625}, {"start": 2233.34, "end": 2234.0, "word": " theta", "probability": 0.2200927734375}, {"start": 2234.0, "end": 2234.8, "word": " sin", "probability": 0.408203125}, {"start": 2234.8, "end": 2235.72, "word": " inverse", "probability": 0.76708984375}, {"start": 2235.72, "end": 2236.44, "word": " theta", "probability": 0.78759765625}, {"start": 2236.44, "end": 2238.44, "word": " ناقص", "probability": 0.906494140625}, {"start": 2238.44, "end": 2238.98, "word": " الجذر", "probability": 0.7058919270833334}, {"start": 2238.98, "end": 2239.8, "word": " التربية،", "probability": 0.63984375}, {"start": 2239.8, "end": 2240.28, "word": " لاحظ", "probability": 0.8885091145833334}, {"start": 2240.28, "end": 2240.8, "word": " ناقص", "probability": 0.953369140625}, {"start": 2240.8, "end": 2241.12, "word": " theta", "probability": 0.66162109375}, {"start": 2241.12, "end": 2241.76, "word": " تربية", "probability": 0.7901611328125}, {"start": 2241.76, "end": 2243.12, "word": " ناقص", "probability": 0.918212890625}, {"start": 2243.12, "end": 2243.32, "word": " ولا", "probability": 0.9013671875}, {"start": 2243.32, "end": 2243.72, "word": " زاد،", "probability": 0.56103515625}, {"start": 2243.72, "end": 2244.24, "word": " تأكدلي،", "probability": 0.7906494140625}, {"start": 2244.24, "end": 2245.16, "word": " زاد؟", "probability": 0.7811686197916666}, {"start": 2245.16, "end": 2245.98, "word": " طب", "probability": 0.692138671875}, {"start": 2245.98, "end": 2246.52, "word": " الخطية", "probability": 0.7058919270833334}, {"start": 2246.52, "end": 2246.94, "word": " فارقة", "probability": 0.8487955729166666}, {"start": 2246.94, "end": 2247.6, "word": " بتأكد،", "probability": 0.68251953125}, {"start": 2247.6, "end": 2248.62, "word": " تمام؟", "probability": 0.6761067708333334}, {"start": 2248.62, "end": 2249.0, "word": " هذا", "probability": 0.90771484375}, {"start": 2249.0, "end": 2249.54, "word": " الكلام", "probability": 0.9192708333333334}, {"start": 2249.54, "end": 2250.02, "word": " الحين", "probability": 0.781005859375}, {"start": 2250.02, "end": 2250.2, "word": " من", "probability": 0.8466796875}, {"start": 2250.2, "end": 2250.44, "word": " وين", "probability": 0.4716796875}, {"start": 2250.44, "end": 2251.4, "word": " لوين،", "probability": 0.750732421875}, {"start": 2251.4, "end": 2251.74, "word": " من", "probability": 0.98974609375}, {"start": 2251.74, "end": 2252.24, "word": " zero", "probability": 0.6025390625}, {"start": 2252.24, "end": 2253.3, "word": " لغاية", "probability": 0.9801025390625}, {"start": 2253.3, "end": 2253.7, "word": " نص", "probability": 0.98681640625}, {"start": 2253.7, "end": 2254.7, "word": " يبقى", "probability": 0.87646484375}, {"start": 2254.7, "end": 2255.16, "word": " هذا", "probability": 0.94189453125}, {"start": 2255.16, "end": 2256.22, "word": " previous", "probability": 0.7236328125}], "temperature": 1.0}, {"id": 101, "seek": 227173, "start": 2258.05, "end": 2271.73, "text": "Example يعني مثال سابق أول ما بدأنا هي المحاضرة اليوم طب بس لما نوصلها يا رايد حلقش تحليك لسه ماوصلناك", "tokens": [11149, 335, 781, 37495, 22653, 50113, 6027, 8608, 16758, 4587, 5551, 12610, 19446, 47525, 10721, 8315, 39896, 9673, 5016, 46958, 25720, 45595, 20498, 23032, 3555, 4724, 3794, 5296, 15042, 8717, 2407, 36520, 11296, 35186, 12602, 47302, 3215, 11331, 1211, 4587, 8592, 6055, 5016, 20292, 4117, 5296, 3794, 3224, 19446, 2407, 36520, 8315, 4117], "avg_logprob": -0.2760416666666667, "compression_ratio": 1.3484848484848484, "no_speech_prob": 0.0, "words": [{"start": 2258.0499999999997, "end": 2258.99, "word": "Example", "probability": 0.7277018229166666}, {"start": 2258.99, "end": 2259.65, "word": " يعني", "probability": 0.732177734375}, {"start": 2259.65, "end": 2261.41, "word": " مثال", "probability": 0.97509765625}, {"start": 2261.41, "end": 2262.05, "word": " سابق", "probability": 0.8570963541666666}, {"start": 2262.05, "end": 2262.69, "word": " أول", "probability": 0.6392822265625}, {"start": 2262.69, "end": 2262.85, "word": " ما", "probability": 0.69677734375}, {"start": 2262.85, "end": 2263.31, "word": " بدأنا", "probability": 0.8815104166666666}, {"start": 2263.31, "end": 2263.47, "word": " هي", "probability": 0.259033203125}, {"start": 2263.47, "end": 2264.13, "word": " المحاضرة", "probability": 0.9783935546875}, {"start": 2264.13, "end": 2264.55, "word": " اليوم", "probability": 0.881103515625}, {"start": 2264.55, "end": 2268.33, "word": " طب", "probability": 0.466064453125}, {"start": 2268.33, "end": 2268.51, "word": " بس", "probability": 0.7462158203125}, {"start": 2268.51, "end": 2268.73, "word": " لما", "probability": 0.934814453125}, {"start": 2268.73, "end": 2269.29, "word": " نوصلها", "probability": 0.92626953125}, {"start": 2269.29, "end": 2269.45, "word": " يا", "probability": 0.662109375}, {"start": 2269.45, "end": 2269.71, "word": " رايد", "probability": 0.6665852864583334}, {"start": 2269.71, "end": 2270.19, "word": " حلقش", "probability": 0.703369140625}, {"start": 2270.19, "end": 2270.61, "word": " تحليك", "probability": 0.8001708984375}, {"start": 2270.61, "end": 2270.91, "word": " لسه", "probability": 0.958984375}, {"start": 2270.91, "end": 2271.73, "word": " ماوصلناك", "probability": 0.799609375}], "temperature": 1.0}, {"id": 102, "seek": 230088, "start": 2272.22, "end": 2300.88, "text": "يا ابن آدم أنا لم أطالبك بعملي غد، فكيف تطالبني برزقه؟ يقول الله تبارك الله في الحديث القدسي، جايينك الحين بصنوصر، يبقى هذا الكلام بصير جداش نص sign inverse نص زائد الجدري التربيهي لاحد ناقص ربع، يبقى هي عوضنا بمين؟ بالقيم اللي فوت، ناقص", "tokens": [25528, 48127, 1863, 19753, 40448, 41850, 32767, 5551, 9566, 6027, 3555, 4117, 4724, 25957, 20292, 32771, 3215, 12399, 6156, 4117, 33911, 6055, 9566, 6027, 3555, 22653, 4724, 2288, 11622, 4587, 3224, 22807, 7251, 39648, 21984, 6055, 3555, 9640, 4117, 21984, 8978, 21542, 16254, 12984, 25062, 3215, 3794, 1829, 12399, 10874, 47302, 9957, 4117, 21542, 9957, 4724, 9381, 1863, 2407, 9381, 2288, 12399, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 4724, 9381, 13546, 10874, 3215, 33599, 8717, 9381, 1465, 17340, 8717, 9381, 30767, 16373, 3215, 25724, 3215, 16572, 16712, 2288, 21292, 3224, 1829, 20193, 24401, 8717, 995, 4587, 9381, 12602, 3555, 3615, 12399, 7251, 3555, 4587, 7578, 39896, 6225, 2407, 11242, 8315, 4724, 2304, 9957, 22807, 20666, 4587, 32640, 13672, 1829, 6156, 35473, 12399, 8717, 995, 4587, 9381], "avg_logprob": -0.19500968992248063, "compression_ratio": 1.721311475409836, "no_speech_prob": 0.0, "words": [{"start": 2272.22, "end": 2272.54, "word": "يا", "probability": 0.6494140625}, {"start": 2272.54, "end": 2272.8, "word": " ابن", "probability": 0.919677734375}, {"start": 2272.8, "end": 2273.42, "word": " آدم", "probability": 0.7122802734375}, {"start": 2273.42, "end": 2273.76, "word": " أنا", "probability": 0.60986328125}, {"start": 2273.76, "end": 2274.06, "word": " لم", "probability": 0.87939453125}, {"start": 2274.06, "end": 2275.0, "word": " أطالبك", "probability": 0.97177734375}, {"start": 2275.0, "end": 2275.74, "word": " بعملي", "probability": 0.9407552083333334}, {"start": 2275.74, "end": 2276.42, "word": " غد،", "probability": 0.7361653645833334}, {"start": 2276.42, "end": 2277.16, "word": " فكيف", "probability": 0.96240234375}, {"start": 2277.16, "end": 2277.96, "word": " تطالبني", "probability": 0.919921875}, {"start": 2277.96, "end": 2278.64, "word": " برزقه؟", "probability": 0.8527018229166666}, {"start": 2278.64, "end": 2279.06, "word": " يقول", "probability": 0.9228515625}, {"start": 2279.06, "end": 2279.34, "word": " الله", "probability": 0.91943359375}, {"start": 2279.34, "end": 2279.76, "word": " تبارك", "probability": 0.947998046875}, {"start": 2279.76, "end": 2279.92, "word": " الله", "probability": 0.59130859375}, {"start": 2279.92, "end": 2280.04, "word": " في", "probability": 0.8974609375}, {"start": 2280.04, "end": 2280.32, "word": " الحديث", "probability": 0.9371744791666666}, {"start": 2280.32, "end": 2281.56, "word": " القدسي،", "probability": 0.8904296875}, {"start": 2281.56, "end": 2282.16, "word": " جايينك", "probability": 0.8221435546875}, {"start": 2282.16, "end": 2282.52, "word": " الحين", "probability": 0.976318359375}, {"start": 2282.52, "end": 2283.64, "word": " بصنوصر،", "probability": 0.6424037388392857}, {"start": 2283.64, "end": 2284.18, "word": " يبقى", "probability": 0.9659423828125}, {"start": 2284.18, "end": 2284.44, "word": " هذا", "probability": 0.95263671875}, {"start": 2284.44, "end": 2284.88, "word": " الكلام", "probability": 0.97998046875}, {"start": 2284.88, "end": 2285.2, "word": " بصير", "probability": 0.8701171875}, {"start": 2285.2, "end": 2285.88, "word": " جداش", "probability": 0.9025065104166666}, {"start": 2285.88, "end": 2286.7, "word": " نص", "probability": 0.566162109375}, {"start": 2286.7, "end": 2287.74, "word": " sign", "probability": 0.254150390625}, {"start": 2287.74, "end": 2288.68, "word": " inverse", "probability": 0.9033203125}, {"start": 2288.68, "end": 2289.48, "word": " نص", "probability": 0.969482421875}, {"start": 2289.48, "end": 2291.08, "word": " زائد", "probability": 0.687744140625}, {"start": 2291.08, "end": 2291.84, "word": " الجدري", "probability": 0.7962239583333334}, {"start": 2291.84, "end": 2293.02, "word": " التربيهي", "probability": 0.73818359375}, {"start": 2293.02, "end": 2294.14, "word": " لاحد", "probability": 0.89453125}, {"start": 2294.14, "end": 2295.2, "word": " ناقص", "probability": 0.9525146484375}, {"start": 2295.2, "end": 2296.08, "word": " ربع،", "probability": 0.7900390625}, {"start": 2296.08, "end": 2296.46, "word": " يبقى", "probability": 0.9779052734375}, {"start": 2296.46, "end": 2296.66, "word": " هي", "probability": 0.333984375}, {"start": 2296.66, "end": 2297.16, "word": " عوضنا", "probability": 0.9349365234375}, {"start": 2297.16, "end": 2298.04, "word": " بمين؟", "probability": 0.90869140625}, {"start": 2298.04, "end": 2298.58, "word": " بالقيم", "probability": 0.7523600260416666}, {"start": 2298.58, "end": 2298.8, "word": " اللي", "probability": 0.782470703125}, {"start": 2298.8, "end": 2299.86, "word": " فوت،", "probability": 0.7272135416666666}, {"start": 2299.86, "end": 2300.88, "word": " ناقص", "probability": 0.9910888671875}], "temperature": 1.0}, {"id": 103, "seek": 231871, "start": 2310.35, "end": 2318.71, "text": "بادر بدر بدر بدر بدر بدر بدر بدر", "tokens": [3555, 18513, 2288, 47525, 2288, 47525, 2288, 47525, 2288, 47525, 2288, 47525, 2288, 47525, 2288, 47525, 2288], "avg_logprob": -0.4939236177338494, "compression_ratio": 2.590909090909091, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2310.35, "end": 2311.75, "word": "بادر", "probability": 0.5458984375}, {"start": 2311.75, "end": 2313.15, "word": " بدر", "probability": 0.5240478515625}, {"start": 2313.15, "end": 2313.95, "word": " بدر", "probability": 0.783447265625}, {"start": 2313.95, "end": 2314.05, "word": " بدر", "probability": 0.804443359375}, {"start": 2314.05, "end": 2314.53, "word": " بدر", "probability": 0.85791015625}, {"start": 2314.53, "end": 2314.83, "word": " بدر", "probability": 0.9052734375}, {"start": 2314.83, "end": 2315.79, "word": " بدر", "probability": 0.9287109375}, {"start": 2315.79, "end": 2318.71, "word": " بدر", "probability": 0.939697265625}], "temperature": 1.0}, {"id": 104, "seek": 233344, "start": 2321.12, "end": 2333.44, "text": "هل ملحانة sign inverse يمر بنقطة الاصل؟ يعني sign inverse zero مقدش، بواحد لما يمر بنقطة الاصل، دي اخسارة", "tokens": [3224, 1211, 3714, 1211, 5016, 7649, 3660, 1465, 17340, 7251, 29973, 44945, 47432, 3660, 2423, 33546, 1211, 22807, 37495, 22653, 1465, 17340, 4018, 3714, 28543, 8592, 12399, 4724, 14407, 24401, 5296, 15042, 7251, 29973, 44945, 47432, 3660, 2423, 33546, 1211, 12399, 11778, 1829, 1975, 9778, 3794, 9640, 3660], "avg_logprob": -0.4119897861869968, "compression_ratio": 1.4310344827586208, "no_speech_prob": 0.0, "words": [{"start": 2321.12, "end": 2321.54, "word": "هل", "probability": 0.878662109375}, {"start": 2321.54, "end": 2322.04, "word": " ملحانة", "probability": 0.625}, {"start": 2322.04, "end": 2322.24, "word": " sign", "probability": 0.213134765625}, {"start": 2322.24, "end": 2322.5, "word": " inverse", "probability": 0.351318359375}, {"start": 2322.5, "end": 2322.86, "word": " يمر", "probability": 0.68408203125}, {"start": 2322.86, "end": 2323.38, "word": " بنقطة", "probability": 0.8899739583333334}, {"start": 2323.38, "end": 2325.0, "word": " الاصل؟", "probability": 0.7972412109375}, {"start": 2325.0, "end": 2326.52, "word": " يعني", "probability": 0.697265625}, {"start": 2326.52, "end": 2326.78, "word": " sign", "probability": 0.75927734375}, {"start": 2326.78, "end": 2327.04, "word": " inverse", "probability": 0.96435546875}, {"start": 2327.04, "end": 2327.28, "word": " zero", "probability": 0.28369140625}, {"start": 2327.28, "end": 2328.4, "word": " مقدش،", "probability": 0.48919677734375}, {"start": 2328.4, "end": 2329.24, "word": " بواحد", "probability": 0.9083658854166666}, {"start": 2329.24, "end": 2330.0, "word": " لما", "probability": 0.6842041015625}, {"start": 2330.0, "end": 2330.22, "word": " يمر", "probability": 0.8603515625}, {"start": 2330.22, "end": 2330.72, "word": " بنقطة", "probability": 0.99169921875}, {"start": 2330.72, "end": 2331.76, "word": " الاصل،", "probability": 0.795166015625}, {"start": 2331.76, "end": 2332.74, "word": " دي", "probability": 0.53271484375}, {"start": 2332.74, "end": 2333.44, "word": " اخسارة", "probability": 0.833251953125}], "temperature": 1.0}, {"id": 105, "seek": 236376, "start": 2334.32, "end": 2363.76, "text": "يبقى هنا بصير Zero يبقى ناقص Zero زاد الجدر التربية لواحد ناقص Zero خلاص انتوا يا عزيزي خلاص يبقى هذا الكلام اللي فوق هيخلصه منه ناقص Zero ناقص الجدر شكله عندنا يساوي نص Sin inverse نص الزاوية اللي جيبها نص تلاتين درجة يبقى Boy على ستة", "tokens": [1829, 3555, 4587, 7578, 34105, 4724, 9381, 13546, 17182, 7251, 3555, 4587, 7578, 8717, 995, 4587, 9381, 17182, 30767, 18513, 25724, 3215, 2288, 16712, 25513, 10632, 5296, 14407, 24401, 8717, 995, 4587, 9381, 17182, 16490, 1211, 33546, 16472, 2655, 14407, 35186, 6225, 11622, 1829, 11622, 1829, 16490, 1211, 33546, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 13672, 1829, 6156, 30543, 39896, 9778, 1211, 9381, 3224, 9154, 3224, 8717, 995, 4587, 9381, 17182, 8717, 995, 4587, 9381, 25724, 3215, 2288, 13412, 28820, 3224, 43242, 8315, 7251, 3794, 995, 45865, 8717, 9381, 11187, 17340, 8717, 9381, 6024, 110, 995, 2407, 10632, 13672, 1829, 10874, 1829, 3555, 11296, 8717, 9381, 6055, 1211, 9307, 9957, 11778, 47341, 3660, 7251, 3555, 4587, 7578, 9486, 15844, 8608, 2655, 3660], "avg_logprob": -0.15799999713897706, "compression_ratio": 1.8248847926267282, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2334.32, "end": 2334.9, "word": "يبقى", "probability": 0.8409423828125}, {"start": 2334.9, "end": 2335.14, "word": " هنا", "probability": 0.650390625}, {"start": 2335.14, "end": 2335.62, "word": " بصير", "probability": 0.7850748697916666}, {"start": 2335.62, "end": 2336.14, "word": " Zero", "probability": 0.5791015625}, {"start": 2336.14, "end": 2337.0, "word": " يبقى", "probability": 0.895263671875}, {"start": 2337.0, "end": 2337.86, "word": " ناقص", "probability": 0.8919677734375}, {"start": 2337.86, "end": 2338.54, "word": " Zero", "probability": 0.970703125}, {"start": 2338.54, "end": 2339.58, "word": " زاد", "probability": 0.756591796875}, {"start": 2339.58, "end": 2340.16, "word": " الجدر", "probability": 0.8603515625}, {"start": 2340.16, "end": 2340.8, "word": " التربية", "probability": 0.8478190104166666}, {"start": 2340.8, "end": 2341.4, "word": " لواحد", "probability": 0.79541015625}, {"start": 2341.4, "end": 2341.9, "word": " ناقص", "probability": 0.9908447265625}, {"start": 2341.9, "end": 2342.22, "word": " Zero", "probability": 0.97607421875}, {"start": 2342.22, "end": 2342.94, "word": " خلاص", "probability": 0.8567708333333334}, {"start": 2342.94, "end": 2343.2, "word": " انتوا", "probability": 0.67919921875}, {"start": 2343.2, "end": 2343.34, "word": " يا", "probability": 0.3876953125}, {"start": 2343.34, "end": 2343.38, "word": " عزيزي", "probability": 0.8701171875}, {"start": 2343.38, "end": 2343.82, "word": " خلاص", "probability": 0.94970703125}, {"start": 2343.82, "end": 2345.84, "word": " يبقى", "probability": 0.967041015625}, {"start": 2345.84, "end": 2346.12, "word": " هذا", "probability": 0.96875}, {"start": 2346.12, "end": 2346.92, "word": " الكلام", "probability": 0.98046875}, {"start": 2346.92, "end": 2348.92, "word": " اللي", "probability": 0.922607421875}, {"start": 2348.92, "end": 2349.6, "word": " فوق", "probability": 0.962158203125}, {"start": 2349.6, "end": 2350.54, "word": " هيخلصه", "probability": 0.9369140625}, {"start": 2350.54, "end": 2351.0, "word": " منه", "probability": 0.990478515625}, {"start": 2351.0, "end": 2351.86, "word": " ناقص", "probability": 0.987060546875}, {"start": 2351.86, "end": 2352.18, "word": " Zero", "probability": 0.98046875}, {"start": 2352.18, "end": 2352.88, "word": " ناقص", "probability": 0.986328125}, {"start": 2352.88, "end": 2353.52, "word": " الجدر", "probability": 0.9847005208333334}, {"start": 2353.52, "end": 2354.18, "word": " شكله", "probability": 0.5431315104166666}, {"start": 2354.18, "end": 2354.58, "word": " عندنا", "probability": 0.6160888671875}, {"start": 2354.58, "end": 2356.0, "word": " يساوي", "probability": 0.9381103515625}, {"start": 2356.0, "end": 2356.82, "word": " نص", "probability": 0.971923828125}, {"start": 2356.82, "end": 2357.82, "word": " Sin", "probability": 0.241943359375}, {"start": 2357.82, "end": 2358.26, "word": " inverse", "probability": 0.70263671875}, {"start": 2358.26, "end": 2358.66, "word": " نص", "probability": 0.972900390625}, {"start": 2358.66, "end": 2359.2, "word": " الزاوية", "probability": 0.88408203125}, {"start": 2359.2, "end": 2359.36, "word": " اللي", "probability": 0.9404296875}, {"start": 2359.36, "end": 2359.7, "word": " جيبها", "probability": 0.9605712890625}, {"start": 2359.7, "end": 2360.22, "word": " نص", "probability": 0.991943359375}, {"start": 2360.22, "end": 2361.68, "word": " تلاتين", "probability": 0.9427490234375}, {"start": 2361.68, "end": 2362.2, "word": " درجة", "probability": 0.9913736979166666}, {"start": 2362.2, "end": 2362.58, "word": " يبقى", "probability": 0.98583984375}, {"start": 2362.58, "end": 2362.78, "word": " Boy", "probability": 0.2393798828125}, {"start": 2362.78, "end": 2363.06, "word": " على", "probability": 0.845703125}, {"start": 2363.06, "end": 2363.76, "word": " ستة", "probability": 0.9708658854166666}], "temperature": 1.0}, {"id": 106, "seek": 239288, "start": 2364.44, "end": 2392.88, "text": "تمام؟ وهذا زي الجذر التربية واحد ناقص رابعة تلت تربعة وهنا ناقص واحد يبقى صارت النتيجة باية على اتناشر زي الجذر تلاتة على اتنين ناقص واحد رقم ستة بيقول لما يأتي ستة بدنا تكامل لمين؟ لستك كيبة", "tokens": [2655, 15042, 2304, 22807, 37037, 15730, 30767, 1829, 25724, 8848, 2288, 16712, 25513, 10632, 36764, 24401, 8717, 995, 4587, 9381, 12602, 16758, 27884, 6055, 1211, 2655, 6055, 25513, 27884, 37037, 8315, 8717, 995, 4587, 9381, 36764, 24401, 7251, 3555, 4587, 7578, 20328, 9640, 2655, 28239, 31371, 7435, 3660, 4724, 995, 10632, 15844, 1975, 2655, 1863, 33599, 2288, 30767, 1829, 25724, 8848, 2288, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 36764, 24401, 12602, 4587, 2304, 8608, 2655, 3660, 4724, 1829, 39648, 5296, 15042, 7251, 10721, 31371, 8608, 2655, 3660, 47525, 8315, 6055, 4117, 10943, 1211, 32767, 9957, 22807, 5296, 14851, 4117, 9122, 1829, 49401], "avg_logprob": -0.1710227299820293, "compression_ratio": 1.9548022598870056, "no_speech_prob": 0.0, "words": [{"start": 2364.44, "end": 2365.2, "word": "تمام؟", "probability": 0.6266326904296875}, {"start": 2365.2, "end": 2366.06, "word": " وهذا", "probability": 0.90576171875}, {"start": 2366.06, "end": 2366.42, "word": " زي", "probability": 0.762451171875}, {"start": 2366.42, "end": 2367.1, "word": " الجذر", "probability": 0.8694661458333334}, {"start": 2367.1, "end": 2367.58, "word": " التربية", "probability": 0.83349609375}, {"start": 2367.58, "end": 2368.04, "word": " واحد", "probability": 0.807373046875}, {"start": 2368.04, "end": 2368.54, "word": " ناقص", "probability": 0.963134765625}, {"start": 2368.54, "end": 2369.14, "word": " رابعة", "probability": 0.8981119791666666}, {"start": 2369.14, "end": 2370.14, "word": " تلت", "probability": 0.7897135416666666}, {"start": 2370.14, "end": 2370.62, "word": " تربعة", "probability": 0.8058268229166666}, {"start": 2370.62, "end": 2370.92, "word": " وهنا", "probability": 0.6787109375}, {"start": 2370.92, "end": 2371.52, "word": " ناقص", "probability": 0.99609375}, {"start": 2371.52, "end": 2372.0, "word": " واحد", "probability": 0.992431640625}, {"start": 2372.0, "end": 2373.02, "word": " يبقى", "probability": 0.9571533203125}, {"start": 2373.02, "end": 2373.64, "word": " صارت", "probability": 0.8577473958333334}, {"start": 2373.64, "end": 2374.44, "word": " النتيجة", "probability": 0.9569091796875}, {"start": 2374.44, "end": 2375.04, "word": " باية", "probability": 0.6244303385416666}, {"start": 2375.04, "end": 2375.34, "word": " على", "probability": 0.70751953125}, {"start": 2375.34, "end": 2376.38, "word": " اتناشر", "probability": 0.88603515625}, {"start": 2376.38, "end": 2377.28, "word": " زي", "probability": 0.957763671875}, {"start": 2377.28, "end": 2377.82, "word": " الجذر", "probability": 0.97900390625}, {"start": 2377.82, "end": 2378.58, "word": " تلاتة", "probability": 0.890869140625}, {"start": 2378.58, "end": 2378.84, "word": " على", "probability": 0.912109375}, {"start": 2378.84, "end": 2379.46, "word": " اتنين", "probability": 0.9803466796875}, {"start": 2379.46, "end": 2380.98, "word": " ناقص", "probability": 0.98779296875}, {"start": 2380.98, "end": 2381.8, "word": " واحد", "probability": 0.992431640625}, {"start": 2381.8, "end": 2383.68, "word": " رقم", "probability": 0.9773763020833334}, {"start": 2383.68, "end": 2384.24, "word": " ستة", "probability": 0.9261067708333334}, {"start": 2384.24, "end": 2384.72, "word": " بيقول", "probability": 0.9539388020833334}, {"start": 2384.72, "end": 2385.12, "word": " لما", "probability": 0.6129150390625}, {"start": 2385.12, "end": 2385.84, "word": " يأتي", "probability": 0.91015625}, {"start": 2385.84, "end": 2387.12, "word": " ستة", "probability": 0.94384765625}, {"start": 2387.12, "end": 2388.46, "word": " بدنا", "probability": 0.755126953125}, {"start": 2388.46, "end": 2389.36, "word": " تكامل", "probability": 0.9759521484375}, {"start": 2389.36, "end": 2390.86, "word": " لمين؟", "probability": 0.6158040364583334}, {"start": 2390.86, "end": 2391.68, "word": " لستك", "probability": 0.80908203125}, {"start": 2391.68, "end": 2392.88, "word": " كيبة", "probability": 0.6922200520833334}], "temperature": 1.0}, {"id": 107, "seek": 241644, "start": 2399.06, "end": 2416.44, "text": "XDX هذا السؤال مش تبقى تعويض هنا مش واضح أنه بتبتعويض إذا بدي أكامل دوري بس بدي أدبر حالي أن أخدت U مشتقته صعبة و أن أخدت DV طب هو احنا أصلا بدنا نتكامل لكن", "tokens": [55, 35, 55, 23758, 21136, 33604, 6027, 37893, 6055, 3555, 4587, 7578, 37279, 45865, 11242, 34105, 37893, 4032, 46958, 5016, 14739, 3224, 39894, 3555, 2655, 3615, 45865, 11242, 11933, 15730, 4724, 16254, 5551, 4117, 10943, 1211, 11778, 13063, 1829, 4724, 3794, 4724, 16254, 5551, 3215, 26890, 11331, 6027, 1829, 14739, 5551, 9778, 3215, 2655, 624, 37893, 2655, 38149, 3224, 20328, 3615, 49401, 4032, 14739, 5551, 9778, 3215, 2655, 17021, 23032, 3555, 31439, 1975, 5016, 8315, 5551, 9381, 15040, 47525, 8315, 8717, 2655, 4117, 10943, 1211, 44381], "avg_logprob": -0.25754311578027134, "compression_ratio": 1.6585365853658536, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2399.0599999999995, "end": 2399.8999999999996, "word": "XDX", "probability": 0.545166015625}, {"start": 2399.8999999999996, "end": 2400.74, "word": " هذا", "probability": 0.412841796875}, {"start": 2400.74, "end": 2401.26, "word": " السؤال", "probability": 0.9772135416666666}, {"start": 2401.26, "end": 2401.48, "word": " مش", "probability": 0.62255859375}, {"start": 2401.48, "end": 2401.76, "word": " تبقى", "probability": 0.85595703125}, {"start": 2401.76, "end": 2402.24, "word": " تعويض", "probability": 0.8645833333333334}, {"start": 2402.24, "end": 2402.62, "word": " هنا", "probability": 0.94873046875}, {"start": 2402.62, "end": 2403.08, "word": " مش", "probability": 0.6591796875}, {"start": 2403.08, "end": 2403.36, "word": " واضح", "probability": 0.9879557291666666}, {"start": 2403.36, "end": 2403.58, "word": " أنه", "probability": 0.57861328125}, {"start": 2403.58, "end": 2404.6, "word": " بتبتعويض", "probability": 0.7599690755208334}, {"start": 2404.6, "end": 2405.52, "word": " إذا", "probability": 0.643310546875}, {"start": 2405.52, "end": 2405.9, "word": " بدي", "probability": 0.6475830078125}, {"start": 2405.9, "end": 2406.44, "word": " أكامل", "probability": 0.796630859375}, {"start": 2406.44, "end": 2406.86, "word": " دوري", "probability": 0.8946940104166666}, {"start": 2406.86, "end": 2407.06, "word": " بس", "probability": 0.958740234375}, {"start": 2407.06, "end": 2407.3, "word": " بدي", "probability": 0.917236328125}, {"start": 2407.3, "end": 2407.64, "word": " أدبر", "probability": 0.9103190104166666}, {"start": 2407.64, "end": 2408.1, "word": " حالي", "probability": 0.9817708333333334}, {"start": 2408.1, "end": 2409.02, "word": " أن", "probability": 0.298095703125}, {"start": 2409.02, "end": 2409.66, "word": " أخدت", "probability": 0.6591796875}, {"start": 2409.66, "end": 2410.02, "word": " U", "probability": 0.8408203125}, {"start": 2410.02, "end": 2411.22, "word": " مشتقته", "probability": 0.9619140625}, {"start": 2411.22, "end": 2411.86, "word": " صعبة", "probability": 0.9228515625}, {"start": 2411.86, "end": 2412.5, "word": " و", "probability": 0.96240234375}, {"start": 2412.5, "end": 2412.66, "word": " أن", "probability": 0.54296875}, {"start": 2412.66, "end": 2413.18, "word": " أخدت", "probability": 0.855224609375}, {"start": 2413.18, "end": 2413.6, "word": " DV", "probability": 0.72802734375}, {"start": 2413.6, "end": 2413.96, "word": " طب", "probability": 0.85302734375}, {"start": 2413.96, "end": 2414.16, "word": " هو", "probability": 0.93115234375}, {"start": 2414.16, "end": 2414.48, "word": " احنا", "probability": 0.8357747395833334}, {"start": 2414.48, "end": 2414.82, "word": " أصلا", "probability": 0.9189453125}, {"start": 2414.82, "end": 2415.22, "word": " بدنا", "probability": 0.82421875}, {"start": 2415.22, "end": 2415.86, "word": " نتكامل", "probability": 0.85810546875}, {"start": 2415.86, "end": 2416.44, "word": " لكن", "probability": 0.8388671875}], "temperature": 1.0}, {"id": 108, "seek": 244661, "start": 2416.99, "end": 2446.61, "text": "يمكن كتابته على الشكل التالي تكامل لسك ال X في سك تربيع ال X في DX يبقى هذي جزاية المسألة إلى جزين يبقى جزر يخد تفاضل هذا سهل جدا ناخده تكامل هذا اشتقاق سهل إذا لو رحت أخدت ال U تساوي سك X وDV ليه سك تربيع ال X DX", "tokens": [32640, 19452, 9122, 2655, 16758, 47395, 15844, 25124, 28820, 16712, 6027, 1829, 6055, 4117, 10943, 1211, 5296, 3794, 4117, 2423, 1783, 8978, 8608, 4117, 6055, 2288, 21292, 3615, 2423, 1783, 8978, 48817, 7251, 3555, 4587, 7578, 8032, 8848, 1829, 10874, 11622, 995, 10632, 9673, 3794, 10721, 37977, 30731, 10874, 11622, 9957, 7251, 3555, 4587, 7578, 10874, 11622, 2288, 7251, 9778, 3215, 6055, 5172, 46958, 1211, 23758, 8608, 3224, 1211, 10874, 28259, 8717, 47283, 3215, 3224, 6055, 4117, 10943, 1211, 23758, 1975, 8592, 2655, 4587, 995, 4587, 8608, 3224, 1211, 11933, 15730, 45164, 12602, 33753, 5551, 9778, 3215, 2655, 2423, 624, 6055, 3794, 995, 45865, 8608, 4117, 1783, 4032, 35, 53, 32239, 3224, 8608, 4117, 6055, 2288, 21292, 3615, 2423, 1783, 48817], "avg_logprob": -0.22976434817079638, "compression_ratio": 1.8484848484848484, "no_speech_prob": 0.047271728515625, "words": [{"start": 2416.99, "end": 2417.65, "word": "يمكن", "probability": 0.6839599609375}, {"start": 2417.65, "end": 2418.29, "word": " كتابته", "probability": 0.95556640625}, {"start": 2418.29, "end": 2418.53, "word": " على", "probability": 0.87744140625}, {"start": 2418.53, "end": 2419.09, "word": " الشكل", "probability": 0.946533203125}, {"start": 2419.09, "end": 2419.91, "word": " التالي", "probability": 0.9601236979166666}, {"start": 2419.91, "end": 2421.05, "word": " تكامل", "probability": 0.8475341796875}, {"start": 2421.05, "end": 2421.85, "word": " لسك", "probability": 0.72509765625}, {"start": 2421.85, "end": 2422.17, "word": " ال", "probability": 0.3642578125}, {"start": 2422.17, "end": 2422.67, "word": " X", "probability": 0.51904296875}, {"start": 2422.67, "end": 2423.23, "word": " في", "probability": 0.85693359375}, {"start": 2423.23, "end": 2423.73, "word": " سك", "probability": 0.919921875}, {"start": 2423.73, "end": 2424.65, "word": " تربيع", "probability": 0.887451171875}, {"start": 2424.65, "end": 2424.91, "word": " ال", "probability": 0.779296875}, {"start": 2424.91, "end": 2425.29, "word": " X", "probability": 0.95458984375}, {"start": 2425.29, "end": 2425.55, "word": " في", "probability": 0.908203125}, {"start": 2425.55, "end": 2426.09, "word": " DX", "probability": 0.84814453125}, {"start": 2426.09, "end": 2427.41, "word": " يبقى", "probability": 0.927490234375}, {"start": 2427.41, "end": 2427.63, "word": " هذي", "probability": 0.5008138020833334}, {"start": 2427.63, "end": 2428.23, "word": " جزاية", "probability": 0.75640869140625}, {"start": 2428.23, "end": 2428.99, "word": " المسألة", "probability": 0.9693603515625}, {"start": 2428.99, "end": 2429.35, "word": " إلى", "probability": 0.677734375}, {"start": 2429.35, "end": 2429.73, "word": " جزين", "probability": 0.9446614583333334}, {"start": 2429.73, "end": 2430.07, "word": " يبقى", "probability": 0.9254150390625}, {"start": 2430.07, "end": 2430.39, "word": " جزر", "probability": 0.71826171875}, {"start": 2430.39, "end": 2431.01, "word": " يخد", "probability": 0.47119140625}, {"start": 2431.01, "end": 2431.77, "word": " تفاضل", "probability": 0.9659423828125}, {"start": 2431.77, "end": 2432.99, "word": " هذا", "probability": 0.56787109375}, {"start": 2432.99, "end": 2434.01, "word": " سهل", "probability": 0.92529296875}, {"start": 2434.01, "end": 2434.29, "word": " جدا", "probability": 0.980224609375}, {"start": 2434.29, "end": 2434.79, "word": " ناخده", "probability": 0.7474365234375}, {"start": 2434.79, "end": 2435.57, "word": " تكامل", "probability": 0.986328125}, {"start": 2435.57, "end": 2436.19, "word": " هذا", "probability": 0.1756591796875}, {"start": 2436.19, "end": 2436.79, "word": " اشتقاق", "probability": 0.8218587239583334}, {"start": 2436.79, "end": 2437.85, "word": " سهل", "probability": 0.9689127604166666}, {"start": 2437.85, "end": 2438.11, "word": " إذا", "probability": 0.633056640625}, {"start": 2438.11, "end": 2438.39, "word": " لو", "probability": 0.943359375}, {"start": 2438.39, "end": 2438.73, "word": " رحت", "probability": 0.827392578125}, {"start": 2438.73, "end": 2439.65, "word": " أخدت", "probability": 0.87255859375}, {"start": 2439.65, "end": 2439.87, "word": " ال", "probability": 0.8681640625}, {"start": 2439.87, "end": 2440.21, "word": " U", "probability": 0.91845703125}, {"start": 2440.21, "end": 2441.11, "word": " تساوي", "probability": 0.88916015625}, {"start": 2441.11, "end": 2441.79, "word": " سك", "probability": 0.884765625}, {"start": 2441.79, "end": 2442.45, "word": " X", "probability": 0.69970703125}, {"start": 2442.45, "end": 2444.01, "word": " وDV", "probability": 0.6969401041666666}, {"start": 2444.01, "end": 2444.43, "word": " ليه", "probability": 0.6312255859375}, {"start": 2444.43, "end": 2444.89, "word": " سك", "probability": 0.956298828125}, {"start": 2444.89, "end": 2445.63, "word": " تربيع", "probability": 0.979248046875}, {"start": 2445.63, "end": 2445.81, "word": " ال", "probability": 0.66796875}, {"start": 2445.81, "end": 2446.15, "word": " X", "probability": 0.89501953125}, {"start": 2446.15, "end": 2446.61, "word": " DX", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 109, "seek": 246856, "start": 2447.7, "end": 2468.56, "text": "يبقى الـ du بسك ال X في تان ال X في dx وال V اللي بتان ال X يبقى هذه U وهذه V إذن النتيجة مباشرة تساوي U في V يبقى سك ال X في تان ال X", "tokens": [1829, 3555, 4587, 7578, 2423, 39184, 1581, 4724, 3794, 4117, 2423, 1783, 8978, 6055, 7649, 2423, 1783, 8978, 30017, 16070, 691, 13672, 1829, 39894, 7649, 2423, 1783, 7251, 3555, 4587, 7578, 29538, 624, 37037, 24192, 691, 11933, 8848, 1863, 28239, 31371, 7435, 3660, 3714, 3555, 33599, 25720, 6055, 3794, 995, 45865, 624, 8978, 691, 7251, 3555, 4587, 7578, 8608, 4117, 2423, 1783, 8978, 6055, 7649, 2423, 1783], "avg_logprob": -0.2249540454324554, "compression_ratio": 1.778688524590164, "no_speech_prob": 0.0, "words": [{"start": 2447.7, "end": 2448.38, "word": "يبقى", "probability": 0.91943359375}, {"start": 2448.38, "end": 2448.46, "word": " الـ", "probability": 0.48974609375}, {"start": 2448.46, "end": 2448.96, "word": " du", "probability": 0.361328125}, {"start": 2448.96, "end": 2449.86, "word": " بسك", "probability": 0.7902018229166666}, {"start": 2449.86, "end": 2450.16, "word": " ال", "probability": 0.6982421875}, {"start": 2450.16, "end": 2450.62, "word": " X", "probability": 0.458251953125}, {"start": 2450.62, "end": 2450.9, "word": " في", "probability": 0.7900390625}, {"start": 2450.9, "end": 2451.44, "word": " تان", "probability": 0.958984375}, {"start": 2451.44, "end": 2451.7, "word": " ال", "probability": 0.541015625}, {"start": 2451.7, "end": 2452.22, "word": " X", "probability": 0.9521484375}, {"start": 2452.22, "end": 2452.94, "word": " في", "probability": 0.83203125}, {"start": 2452.94, "end": 2453.74, "word": " dx", "probability": 0.69580078125}, {"start": 2453.74, "end": 2454.36, "word": " وال", "probability": 0.544921875}, {"start": 2454.36, "end": 2454.88, "word": " V", "probability": 0.70751953125}, {"start": 2454.88, "end": 2455.42, "word": " اللي", "probability": 0.71337890625}, {"start": 2455.42, "end": 2456.66, "word": " بتان", "probability": 0.6661376953125}, {"start": 2456.66, "end": 2456.88, "word": " ال", "probability": 0.84326171875}, {"start": 2456.88, "end": 2457.28, "word": " X", "probability": 0.978515625}, {"start": 2457.28, "end": 2458.16, "word": " يبقى", "probability": 0.927734375}, {"start": 2458.16, "end": 2458.48, "word": " هذه", "probability": 0.349609375}, {"start": 2458.48, "end": 2458.84, "word": " U", "probability": 0.74609375}, {"start": 2458.84, "end": 2459.26, "word": " وهذه", "probability": 0.7449951171875}, {"start": 2459.26, "end": 2459.58, "word": " V", "probability": 0.9853515625}, {"start": 2459.58, "end": 2460.66, "word": " إذن", "probability": 0.6319986979166666}, {"start": 2460.66, "end": 2461.34, "word": " النتيجة", "probability": 0.9576416015625}, {"start": 2461.34, "end": 2462.18, "word": " مباشرة", "probability": 0.9918212890625}, {"start": 2462.18, "end": 2463.02, "word": " تساوي", "probability": 0.81512451171875}, {"start": 2463.02, "end": 2463.5, "word": " U", "probability": 0.78515625}, {"start": 2463.5, "end": 2463.88, "word": " في", "probability": 0.9072265625}, {"start": 2463.88, "end": 2464.4, "word": " V", "probability": 0.98974609375}, {"start": 2464.4, "end": 2465.5, "word": " يبقى", "probability": 0.960205078125}, {"start": 2465.5, "end": 2466.1, "word": " سك", "probability": 0.93408203125}, {"start": 2466.1, "end": 2466.46, "word": " ال", "probability": 0.80859375}, {"start": 2466.46, "end": 2466.98, "word": " X", "probability": 0.98974609375}, {"start": 2466.98, "end": 2467.48, "word": " في", "probability": 0.96826171875}, {"start": 2467.48, "end": 2467.94, "word": " تان", "probability": 0.990478515625}, {"start": 2467.94, "end": 2468.18, "word": " ال", "probability": 0.92041015625}, {"start": 2468.18, "end": 2468.56, "word": " X", "probability": 0.990234375}], "temperature": 1.0}, {"id": 110, "seek": 249658, "start": 2468.88, "end": 2496.58, "text": "ناقص تكامل ذي اللي هي بتان ال X ده ال U اللي هي بسك يبقى بصير سك ال X في تان تاربيع ال X في DX طيب هذا السؤال ايش اللي حشره مع المجموعة هذه من المسائل انت بتقول بدنا نعوض في الأول و بعدين نعمل integration by parts هذه المجموعة كان زي هيك", "tokens": [1863, 995, 4587, 9381, 6055, 4117, 10943, 1211, 29910, 1829, 13672, 1829, 39896, 39894, 7649, 2423, 1783, 11778, 3224, 2423, 624, 13672, 1829, 39896, 4724, 3794, 4117, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 8608, 4117, 2423, 1783, 8978, 6055, 7649, 6055, 9640, 3555, 40228, 2423, 1783, 8978, 48817, 23032, 1829, 3555, 23758, 21136, 33604, 6027, 1975, 1829, 8592, 13672, 1829, 11331, 46309, 3224, 20449, 9673, 7435, 2304, 2407, 27884, 29538, 9154, 9673, 3794, 16373, 1211, 16472, 2655, 39894, 39648, 47525, 8315, 8717, 3615, 2407, 11242, 8978, 16247, 12610, 4032, 39182, 9957, 8717, 25957, 1211, 10980, 538, 3166, 29538, 9673, 7435, 2304, 2407, 27884, 25961, 30767, 1829, 39896, 4117], "avg_logprob": -0.20298296104777944, "compression_ratio": 1.8045454545454545, "no_speech_prob": 0.0, "words": [{"start": 2468.88, "end": 2469.64, "word": "ناقص", "probability": 0.6632080078125}, {"start": 2469.64, "end": 2470.52, "word": " تكامل", "probability": 0.982666015625}, {"start": 2470.52, "end": 2471.48, "word": " ذي", "probability": 0.41937255859375}, {"start": 2471.48, "end": 2471.6, "word": " اللي", "probability": 0.759765625}, {"start": 2471.6, "end": 2471.74, "word": " هي", "probability": 0.45068359375}, {"start": 2471.74, "end": 2472.12, "word": " بتان", "probability": 0.74072265625}, {"start": 2472.12, "end": 2472.32, "word": " ال", "probability": 0.7607421875}, {"start": 2472.32, "end": 2472.68, "word": " X", "probability": 0.69287109375}, {"start": 2472.68, "end": 2473.58, "word": " ده", "probability": 0.736328125}, {"start": 2473.58, "end": 2473.66, "word": " ال", "probability": 0.70654296875}, {"start": 2473.66, "end": 2473.84, "word": " U", "probability": 0.8388671875}, {"start": 2473.84, "end": 2474.1, "word": " اللي", "probability": 0.971435546875}, {"start": 2474.1, "end": 2474.28, "word": " هي", "probability": 0.9326171875}, {"start": 2474.28, "end": 2474.76, "word": " بسك", "probability": 0.7224934895833334}, {"start": 2474.76, "end": 2475.48, "word": " يبقى", "probability": 0.899658203125}, {"start": 2475.48, "end": 2476.16, "word": " بصير", "probability": 0.9571940104166666}, {"start": 2476.16, "end": 2476.78, "word": " سك", "probability": 0.95068359375}, {"start": 2476.78, "end": 2477.04, "word": " ال", "probability": 0.73486328125}, {"start": 2477.04, "end": 2477.5, "word": " X", "probability": 0.990234375}, {"start": 2477.5, "end": 2478.12, "word": " في", "probability": 0.625}, {"start": 2478.12, "end": 2478.64, "word": " تان", "probability": 0.917724609375}, {"start": 2478.64, "end": 2479.46, "word": " تاربيع", "probability": 0.8565673828125}, {"start": 2479.46, "end": 2479.78, "word": " ال", "probability": 0.86376953125}, {"start": 2479.78, "end": 2480.18, "word": " X", "probability": 0.9853515625}, {"start": 2480.18, "end": 2480.5, "word": " في", "probability": 0.72314453125}, {"start": 2480.5, "end": 2481.32, "word": " DX", "probability": 0.74560546875}, {"start": 2481.32, "end": 2483.28, "word": " طيب", "probability": 0.9091796875}, {"start": 2483.28, "end": 2483.84, "word": " هذا", "probability": 0.458251953125}, {"start": 2483.84, "end": 2484.4, "word": " السؤال", "probability": 0.9876302083333334}, {"start": 2484.4, "end": 2484.82, "word": " ايش", "probability": 0.7257486979166666}, {"start": 2484.82, "end": 2485.04, "word": " اللي", "probability": 0.976318359375}, {"start": 2485.04, "end": 2485.74, "word": " حشره", "probability": 0.8479817708333334}, {"start": 2485.74, "end": 2485.94, "word": " مع", "probability": 0.95751953125}, {"start": 2485.94, "end": 2486.72, "word": " المجموعة", "probability": 0.91884765625}, {"start": 2486.72, "end": 2487.08, "word": " هذه", "probability": 0.53466796875}, {"start": 2487.08, "end": 2487.3, "word": " من", "probability": 0.6083984375}, {"start": 2487.3, "end": 2488.12, "word": " المسائل", "probability": 0.85888671875}, {"start": 2488.12, "end": 2488.98, "word": " انت", "probability": 0.85986328125}, {"start": 2488.98, "end": 2489.46, "word": " بتقول", "probability": 0.9794921875}, {"start": 2489.46, "end": 2489.86, "word": " بدنا", "probability": 0.807861328125}, {"start": 2489.86, "end": 2490.48, "word": " نعوض", "probability": 0.97705078125}, {"start": 2490.48, "end": 2490.7, "word": " في", "probability": 0.90625}, {"start": 2490.7, "end": 2491.36, "word": " الأول", "probability": 0.90283203125}, {"start": 2491.36, "end": 2491.9, "word": " و", "probability": 0.63818359375}, {"start": 2491.9, "end": 2492.4, "word": " بعدين", "probability": 0.92529296875}, {"start": 2492.4, "end": 2492.9, "word": " نعمل", "probability": 0.9842122395833334}, {"start": 2492.9, "end": 2493.58, "word": " integration", "probability": 0.95703125}, {"start": 2493.58, "end": 2494.18, "word": " by", "probability": 0.9189453125}, {"start": 2494.18, "end": 2494.82, "word": " parts", "probability": 0.93310546875}, {"start": 2494.82, "end": 2495.12, "word": " هذه", "probability": 0.5380859375}, {"start": 2495.12, "end": 2495.64, "word": " المجموعة", "probability": 0.91201171875}, {"start": 2495.64, "end": 2495.92, "word": " كان", "probability": 0.8837890625}, {"start": 2495.92, "end": 2496.2, "word": " زي", "probability": 0.954345703125}, {"start": 2496.2, "end": 2496.58, "word": " هيك", "probability": 0.86669921875}], "temperature": 1.0}, {"id": 111, "seek": 252636, "start": 2497.86, "end": 2526.36, "text": "انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل، انتظر قليل،", "tokens": [7649, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399, 16472, 2655, 19913, 2288, 12174, 20292, 1211, 12399], "avg_logprob": -0.06906249894036187, "compression_ratio": 15.76923076923077, "no_speech_prob": 0.0, "words": [{"start": 2497.86, "end": 2498.94, "word": "انتظر", "probability": 0.6819305419921875}, {"start": 2498.94, "end": 2499.6, "word": " قليل،", "probability": 0.44586181640625}, {"start": 2499.6, "end": 2500.38, "word": " انتظر", "probability": 0.892822265625}, {"start": 2500.38, "end": 2500.78, "word": " قليل،", "probability": 0.86474609375}, {"start": 2500.78, "end": 2504.02, "word": " انتظر", "probability": 0.78973388671875}, {"start": 2504.02, "end": 2504.44, "word": " قليل،", "probability": 0.88427734375}, {"start": 2504.44, "end": 2505.02, "word": " انتظر", "probability": 0.84173583984375}, {"start": 2505.02, "end": 2505.28, "word": " قليل،", "probability": 0.9356689453125}, {"start": 2505.28, "end": 2505.4, "word": " انتظر", "probability": 0.8997802734375}, {"start": 2505.4, "end": 2505.4, "word": " قليل،", "probability": 0.9599609375}, {"start": 2505.4, "end": 2505.4, "word": " انتظر", "probability": 0.94140625}, {"start": 2505.4, "end": 2505.4, "word": " قليل،", "probability": 0.9691162109375}, {"start": 2505.4, "end": 2505.4, "word": " انتظر", "probability": 0.9642333984375}, {"start": 2505.4, "end": 2505.4, "word": " قليل،", "probability": 0.973876953125}, {"start": 2505.4, "end": 2505.46, "word": " انتظر", "probability": 0.9774169921875}, {"start": 2505.46, "end": 2505.46, "word": " قليل،", "probability": 0.977294921875}, {"start": 2505.46, "end": 2505.66, "word": " انتظر", "probability": 0.982666015625}, {"start": 2505.66, "end": 2505.7, "word": " قليل،", "probability": 0.979736328125}, {"start": 2505.7, "end": 2505.7, "word": " انتظر", "probability": 0.9847412109375}, {"start": 2505.7, "end": 2505.7, "word": " قليل،", "probability": 0.981689453125}, {"start": 2505.7, "end": 2505.7, "word": " انتظر", "probability": 0.9864501953125}, {"start": 2505.7, "end": 2505.7, "word": " قليل،", "probability": 0.9830322265625}, {"start": 2505.7, "end": 2505.7, "word": " انتظر", "probability": 0.987548828125}, {"start": 2505.7, "end": 2505.7, "word": " قليل،", "probability": 0.984375}, {"start": 2505.7, "end": 2505.7, "word": " انتظر", "probability": 0.9886474609375}, {"start": 2505.7, "end": 2505.7, "word": " قليل،", "probability": 0.985595703125}, {"start": 2505.7, "end": 2505.7, "word": " انتظر", "probability": 0.9891357421875}, {"start": 2505.7, "end": 2505.7, "word": " قليل،", "probability": 0.9866943359375}, {"start": 2505.7, "end": 2505.7, "word": " انتظر", "probability": 0.9893798828125}, {"start": 2505.7, "end": 2505.7, "word": " قليل،", "probability": 0.987060546875}, {"start": 2505.7, "end": 2505.7, "word": " انتظر", "probability": 0.9898681640625}, {"start": 2505.7, "end": 2505.7, "word": " قليل،", "probability": 0.987548828125}, {"start": 2505.7, "end": 2506.36, "word": " انتظر", "probability": 0.989990234375}, {"start": 2506.36, "end": 2506.88, "word": " قليل،", "probability": 0.988037109375}, {"start": 2506.88, "end": 2507.18, "word": " انتظر", "probability": 0.9901123046875}, {"start": 2507.18, "end": 2507.76, "word": " قليل،", "probability": 0.988525390625}, {"start": 2507.76, "end": 2507.92, "word": " انتظر", "probability": 0.9903564453125}, {"start": 2507.92, "end": 2508.5, "word": " قليل،", "probability": 0.9891357421875}, {"start": 2508.5, "end": 2508.7, "word": " انتظر", "probability": 0.990478515625}, {"start": 2508.7, "end": 2509.38, "word": " قليل،", "probability": 0.9893798828125}, {"start": 2509.38, "end": 2509.6, "word": " انتظر", "probability": 0.9906005859375}, {"start": 2509.6, "end": 2510.58, "word": " قليل،", "probability": 0.9896240234375}, {"start": 2510.58, "end": 2510.7, "word": " انتظر", "probability": 0.9901123046875}, {"start": 2510.7, "end": 2511.88, "word": " قليل،", "probability": 0.9901123046875}, {"start": 2511.88, "end": 2513.2, "word": " انتظر", "probability": 0.990234375}, {"start": 2513.2, "end": 2513.5, "word": " قليل،", "probability": 0.9906005859375}, {"start": 2513.5, "end": 2513.68, "word": " انتظر", "probability": 0.9903564453125}, {"start": 2513.68, "end": 2513.74, "word": " قليل،", "probability": 0.9906005859375}, {"start": 2513.74, "end": 2513.74, "word": " انتظر", "probability": 0.989990234375}, {"start": 2513.74, "end": 2513.74, "word": " قليل،", "probability": 0.99072265625}, {"start": 2513.74, "end": 2514.3, "word": " انتظر", "probability": 0.989990234375}, {"start": 2514.3, "end": 2516.14, "word": " قليل،", "probability": 0.99072265625}, {"start": 2516.14, "end": 2516.88, "word": " انتظر", "probability": 0.98974609375}, {"start": 2516.88, "end": 2518.74, "word": " قليل،", "probability": 0.9906005859375}, {"start": 2518.74, "end": 2519.1, "word": " انتظر", "probability": 0.9893798828125}, {"start": 2519.1, "end": 2526.36, "word": " قليل،", "probability": 0.9901123046875}], "temperature": 1.0}, {"id": 112, "seek": 254888, "start": 2526.76, "end": 2548.88, "text": "واحد ناقص والعكس صحيح سك تربيه ناقص واحد تمام يبقى هذه سك ال X تان ال X ناقص تكامل سك ال X تان تربيه لسك تربيه ال X", "tokens": [14407, 24401, 8717, 995, 4587, 9381, 16070, 3615, 4117, 3794, 20328, 5016, 1829, 5016, 8608, 4117, 6055, 2288, 21292, 3224, 8717, 995, 4587, 9381, 36764, 24401, 46811, 10943, 7251, 3555, 4587, 7578, 29538, 8608, 4117, 2423, 1783, 6055, 7649, 2423, 1783, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211, 8608, 4117, 2423, 1783, 6055, 7649, 6055, 2288, 21292, 3224, 5296, 3794, 4117, 6055, 2288, 21292, 3224, 2423, 1783], "avg_logprob": -0.14232337129288825, "compression_ratio": 1.8256880733944953, "no_speech_prob": 0.0, "words": [{"start": 2526.76, "end": 2527.3, "word": "واحد", "probability": 0.58563232421875}, {"start": 2527.3, "end": 2528.04, "word": " ناقص", "probability": 0.9764404296875}, {"start": 2528.04, "end": 2529.44, "word": " والعكس", "probability": 0.88623046875}, {"start": 2529.44, "end": 2530.42, "word": " صحيح", "probability": 0.946044921875}, {"start": 2530.42, "end": 2531.32, "word": " سك", "probability": 0.717041015625}, {"start": 2531.32, "end": 2531.96, "word": " تربيه", "probability": 0.8101806640625}, {"start": 2531.96, "end": 2532.6, "word": " ناقص", "probability": 0.990478515625}, {"start": 2532.6, "end": 2533.2, "word": " واحد", "probability": 0.976806640625}, {"start": 2533.2, "end": 2533.88, "word": " تمام", "probability": 0.63525390625}, {"start": 2533.88, "end": 2534.9, "word": " يبقى", "probability": 0.8558349609375}, {"start": 2534.9, "end": 2535.4, "word": " هذه", "probability": 0.56103515625}, {"start": 2535.4, "end": 2536.46, "word": " سك", "probability": 0.94384765625}, {"start": 2536.46, "end": 2536.72, "word": " ال", "probability": 0.82568359375}, {"start": 2536.72, "end": 2537.14, "word": " X", "probability": 0.74609375}, {"start": 2537.14, "end": 2538.14, "word": " تان", "probability": 0.9521484375}, {"start": 2538.14, "end": 2538.42, "word": " ال", "probability": 0.89697265625}, {"start": 2538.42, "end": 2539.1, "word": " X", "probability": 0.98681640625}, {"start": 2539.1, "end": 2543.0, "word": " ناقص", "probability": 0.876220703125}, {"start": 2543.0, "end": 2543.82, "word": " تكامل", "probability": 0.988037109375}, {"start": 2543.82, "end": 2544.46, "word": " سك", "probability": 0.95556640625}, {"start": 2544.46, "end": 2544.74, "word": " ال", "probability": 0.8662109375}, {"start": 2544.74, "end": 2545.2, "word": " X", "probability": 0.994140625}, {"start": 2545.2, "end": 2546.1, "word": " تان", "probability": 0.977294921875}, {"start": 2546.1, "end": 2546.76, "word": " تربيه", "probability": 0.9473876953125}, {"start": 2546.76, "end": 2547.54, "word": " لسك", "probability": 0.8811848958333334}, {"start": 2547.54, "end": 2548.32, "word": " تربيه", "probability": 0.9803466796875}, {"start": 2548.32, "end": 2548.52, "word": " ال", "probability": 0.84326171875}, {"start": 2548.52, "end": 2548.88, "word": " X", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 113, "seek": 257752, "start": 2549.12, "end": 2577.52, "text": "نقص واحد كله في dx إذا صارت المسألة تكامل لسك تكييب x dx بده يساوي سك ال x في تاني ال x ناقص تكامل سك في سك تربيع بقداش بسك تكييب ال x في dx وناقص فناقص بزائد تكامل سك ال x في dx", "tokens": [1863, 4587, 9381, 36764, 24401, 28242, 3224, 8978, 30017, 11933, 15730, 20328, 9640, 2655, 9673, 3794, 10721, 37977, 6055, 4117, 10943, 1211, 5296, 3794, 4117, 6055, 4117, 1829, 1829, 3555, 2031, 30017, 47525, 3224, 7251, 3794, 995, 45865, 8608, 4117, 2423, 2031, 8978, 6055, 7649, 1829, 2423, 2031, 8717, 995, 4587, 9381, 6055, 4117, 10943, 1211, 8608, 4117, 8978, 8608, 4117, 6055, 2288, 21292, 3615, 4724, 28543, 33599, 4724, 3794, 4117, 6055, 4117, 1829, 1829, 3555, 2423, 2031, 8978, 30017, 4032, 1863, 995, 4587, 9381, 6156, 1863, 995, 4587, 9381, 4724, 11622, 16373, 3215, 6055, 4117, 10943, 1211, 8608, 4117, 2423, 2031, 8978, 30017], "avg_logprob": -0.1607142789023263, "compression_ratio": 1.8867924528301887, "no_speech_prob": 0.0, "words": [{"start": 2549.12, "end": 2549.96, "word": "نقص", "probability": 0.6480305989583334}, {"start": 2549.96, "end": 2550.58, "word": " واحد", "probability": 0.87646484375}, {"start": 2550.58, "end": 2551.08, "word": " كله", "probability": 0.974365234375}, {"start": 2551.08, "end": 2551.28, "word": " في", "probability": 0.93896484375}, {"start": 2551.28, "end": 2551.78, "word": " dx", "probability": 0.31982421875}, {"start": 2551.78, "end": 2552.86, "word": " إذا", "probability": 0.889892578125}, {"start": 2552.86, "end": 2553.48, "word": " صارت", "probability": 0.8274739583333334}, {"start": 2553.48, "end": 2554.32, "word": " المسألة", "probability": 0.9688720703125}, {"start": 2554.32, "end": 2555.3, "word": " تكامل", "probability": 0.9791259765625}, {"start": 2555.3, "end": 2555.88, "word": " لسك", "probability": 0.7217610677083334}, {"start": 2555.88, "end": 2556.78, "word": " تكييب", "probability": 0.93046875}, {"start": 2556.78, "end": 2557.2, "word": " x", "probability": 0.8583984375}, {"start": 2557.2, "end": 2557.98, "word": " dx", "probability": 0.87353515625}, {"start": 2557.98, "end": 2558.98, "word": " بده", "probability": 0.436279296875}, {"start": 2558.98, "end": 2559.52, "word": " يساوي", "probability": 0.8804931640625}, {"start": 2559.52, "end": 2560.18, "word": " سك", "probability": 0.8916015625}, {"start": 2560.18, "end": 2560.46, "word": " ال", "probability": 0.7607421875}, {"start": 2560.46, "end": 2560.94, "word": " x", "probability": 0.61669921875}, {"start": 2560.94, "end": 2561.22, "word": " في", "probability": 0.8994140625}, {"start": 2561.22, "end": 2561.8, "word": " تاني", "probability": 0.89501953125}, {"start": 2561.8, "end": 2561.92, "word": " ال", "probability": 0.8857421875}, {"start": 2561.92, "end": 2562.32, "word": " x", "probability": 0.7431640625}, {"start": 2562.32, "end": 2563.4, "word": " ناقص", "probability": 0.917236328125}, {"start": 2563.4, "end": 2564.02, "word": " تكامل", "probability": 0.97998046875}, {"start": 2564.02, "end": 2564.44, "word": " سك", "probability": 0.9560546875}, {"start": 2564.44, "end": 2564.64, "word": " في", "probability": 0.95556640625}, {"start": 2564.64, "end": 2565.04, "word": " سك", "probability": 0.951416015625}, {"start": 2565.04, "end": 2565.92, "word": " تربيع", "probability": 0.83770751953125}, {"start": 2565.92, "end": 2567.14, "word": " بقداش", "probability": 0.8151041666666666}, {"start": 2567.14, "end": 2568.3, "word": " بسك", "probability": 0.9415690104166666}, {"start": 2568.3, "end": 2569.44, "word": " تكييب", "probability": 0.990234375}, {"start": 2569.44, "end": 2569.68, "word": " ال", "probability": 0.81689453125}, {"start": 2569.68, "end": 2570.2, "word": " x", "probability": 0.96826171875}, {"start": 2570.2, "end": 2570.46, "word": " في", "probability": 0.87158203125}, {"start": 2570.46, "end": 2570.86, "word": " dx", "probability": 0.974609375}, {"start": 2570.86, "end": 2572.0, "word": " وناقص", "probability": 0.8240234375}, {"start": 2572.0, "end": 2572.74, "word": " فناقص", "probability": 0.8486328125}, {"start": 2572.74, "end": 2573.66, "word": " بزائد", "probability": 0.7886962890625}, {"start": 2573.66, "end": 2574.96, "word": " تكامل", "probability": 0.9918212890625}, {"start": 2574.96, "end": 2575.78, "word": " سك", "probability": 0.982666015625}, {"start": 2575.78, "end": 2576.14, "word": " ال", "probability": 0.8203125}, {"start": 2576.14, "end": 2576.6, "word": " x", "probability": 0.97412109375}, {"start": 2576.6, "end": 2577.08, "word": " في", "probability": 0.935546875}, {"start": 2577.08, "end": 2577.52, "word": " dx", "probability": 0.97900390625}], "temperature": 1.0}, {"id": 114, "seek": 260596, "start": 2578.65, "end": 2605.97, "text": "طلع لي لهذه الاسم يرسل مثلًا؟ بدي أشيلها بسلامة و أجيب عندها بصير كده؟ اتنين سك تكييب يبقى بصير اتنين تكامل لسك تكييب ال X DX بدي يسوى سك X في تان ال X زائد تكامل لسك X DX", "tokens": [9566, 1211, 3615, 32239, 46740, 24192, 2423, 32277, 2304, 7251, 2288, 3794, 1211, 50113, 1211, 14111, 995, 22807, 4724, 16254, 5551, 8592, 26895, 11296, 4724, 3794, 37440, 3660, 4032, 5551, 7435, 1829, 3555, 43242, 11296, 4724, 9381, 13546, 9122, 3215, 3224, 22807, 1975, 2655, 1863, 9957, 8608, 4117, 6055, 4117, 1829, 1829, 3555, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 6055, 4117, 10943, 1211, 5296, 3794, 4117, 6055, 4117, 1829, 1829, 3555, 2423, 1783, 48817, 4724, 16254, 7251, 3794, 2407, 7578, 8608, 4117, 1783, 8978, 6055, 7649, 2423, 1783, 30767, 16373, 3215, 6055, 4117, 10943, 1211, 5296, 3794, 4117, 1783, 48817], "avg_logprob": -0.30807783581175896, "compression_ratio": 1.8048780487804879, "no_speech_prob": 0.0, "words": [{"start": 2578.65, "end": 2579.13, "word": "طلع", "probability": 0.6302083333333334}, {"start": 2579.13, "end": 2579.27, "word": " لي", "probability": 0.52197265625}, {"start": 2579.27, "end": 2579.87, "word": " لهذه", "probability": 0.707763671875}, {"start": 2579.87, "end": 2581.55, "word": " الاسم", "probability": 0.4869791666666667}, {"start": 2581.55, "end": 2582.45, "word": " يرسل", "probability": 0.4573974609375}, {"start": 2582.45, "end": 2583.09, "word": " مثلًا؟", "probability": 0.66806640625}, {"start": 2583.09, "end": 2584.07, "word": " بدي", "probability": 0.5640869140625}, {"start": 2584.07, "end": 2584.51, "word": " أشيلها", "probability": 0.68731689453125}, {"start": 2584.51, "end": 2585.01, "word": " بسلامة", "probability": 0.8826904296875}, {"start": 2585.01, "end": 2585.17, "word": " و", "probability": 0.1561279296875}, {"start": 2585.17, "end": 2585.45, "word": " أجيب", "probability": 0.81134033203125}, {"start": 2585.45, "end": 2585.87, "word": " عندها", "probability": 0.832275390625}, {"start": 2585.87, "end": 2586.15, "word": " بصير", "probability": 0.6865234375}, {"start": 2586.15, "end": 2586.87, "word": " كده؟", "probability": 0.712646484375}, {"start": 2586.87, "end": 2588.19, "word": " اتنين", "probability": 0.8800048828125}, {"start": 2588.19, "end": 2588.57, "word": " سك", "probability": 0.7880859375}, {"start": 2588.57, "end": 2589.21, "word": " تكييب", "probability": 0.8763671875}, {"start": 2589.21, "end": 2589.97, "word": " يبقى", "probability": 0.8917236328125}, {"start": 2589.97, "end": 2590.49, "word": " بصير", "probability": 0.9607747395833334}, {"start": 2590.49, "end": 2591.35, "word": " اتنين", "probability": 0.9798583984375}, {"start": 2591.35, "end": 2592.37, "word": " تكامل", "probability": 0.9925537109375}, {"start": 2592.37, "end": 2593.01, "word": " لسك", "probability": 0.94482421875}, {"start": 2593.01, "end": 2593.91, "word": " تكييب", "probability": 0.99658203125}, {"start": 2593.91, "end": 2594.55, "word": " ال", "probability": 0.7294921875}, {"start": 2594.55, "end": 2594.91, "word": " X", "probability": 0.47216796875}, {"start": 2594.91, "end": 2595.35, "word": " DX", "probability": 0.85888671875}, {"start": 2595.35, "end": 2596.21, "word": " بدي", "probability": 0.76806640625}, {"start": 2596.21, "end": 2596.77, "word": " يسوى", "probability": 0.62945556640625}, {"start": 2596.77, "end": 2597.39, "word": " سك", "probability": 0.90771484375}, {"start": 2597.39, "end": 2598.15, "word": " X", "probability": 0.591796875}, {"start": 2598.15, "end": 2598.89, "word": " في", "probability": 0.69287109375}, {"start": 2598.89, "end": 2599.39, "word": " تان", "probability": 0.87060546875}, {"start": 2599.39, "end": 2599.67, "word": " ال", "probability": 0.492431640625}, {"start": 2599.67, "end": 2600.07, "word": " X", "probability": 0.96240234375}, {"start": 2600.07, "end": 2601.33, "word": " زائد", "probability": 0.7820638020833334}, {"start": 2601.33, "end": 2602.73, "word": " تكامل", "probability": 0.993408203125}, {"start": 2602.73, "end": 2604.49, "word": " لسك", "probability": 0.9710286458333334}, {"start": 2604.49, "end": 2605.35, "word": " X", "probability": 0.84521484375}, {"start": 2605.35, "end": 2605.97, "word": " DX", "probability": 0.52490234375}], "temperature": 1.0}, {"id": 115, "seek": 262530, "start": 2608.82, "end": 2625.3, "text": "تنين هذا مش لازمالي، بديش تنين انا بدي اتكمل سك تكيب، بنجسم سك تكيب لكس، هذه سك تكيب صحيح، هذه سك تكيب، ونجلناها، فهذه سك تكيب، وهذه كل شيء تمام", "tokens": [2655, 1863, 9957, 23758, 37893, 5296, 31377, 2304, 6027, 1829, 12399, 4724, 16254, 8592, 6055, 1863, 9957, 1975, 8315, 4724, 16254, 1975, 2655, 24793, 1211, 8608, 4117, 6055, 4117, 1829, 3555, 12399, 44945, 7435, 38251, 8608, 4117, 6055, 4117, 1829, 3555, 5296, 4117, 3794, 12399, 29538, 8608, 4117, 6055, 4117, 1829, 3555, 20328, 5016, 1829, 5016, 12399, 29538, 8608, 4117, 6055, 4117, 1829, 3555, 12399, 4032, 1863, 7435, 1211, 8315, 11296, 12399, 6156, 3224, 24192, 8608, 4117, 6055, 4117, 1829, 3555, 12399, 4032, 3224, 24192, 28242, 44049, 38207, 46811, 10943], "avg_logprob": -0.3137019112869933, "compression_ratio": 1.9923076923076923, "no_speech_prob": 0.0, "words": [{"start": 2608.82, "end": 2609.2, "word": "تنين", "probability": 0.4706624348958333}, {"start": 2609.2, "end": 2609.34, "word": " هذا", "probability": 0.234130859375}, {"start": 2609.34, "end": 2609.54, "word": " مش", "probability": 0.457275390625}, {"start": 2609.54, "end": 2610.22, "word": " لازمالي،", "probability": 0.8602701822916666}, {"start": 2610.22, "end": 2610.48, "word": " بديش", "probability": 0.6607259114583334}, {"start": 2610.48, "end": 2610.82, "word": " تنين", "probability": 0.9012044270833334}, {"start": 2610.82, "end": 2611.14, "word": " انا", "probability": 0.71337890625}, {"start": 2611.14, "end": 2611.48, "word": " بدي", "probability": 0.7359619140625}, {"start": 2611.48, "end": 2612.06, "word": " اتكمل", "probability": 0.74847412109375}, {"start": 2612.06, "end": 2612.36, "word": " سك", "probability": 0.847900390625}, {"start": 2612.36, "end": 2613.66, "word": " تكيب،", "probability": 0.72421875}, {"start": 2613.66, "end": 2614.62, "word": " بنجسم", "probability": 0.6805826822916666}, {"start": 2614.62, "end": 2616.18, "word": " سك", "probability": 0.85546875}, {"start": 2616.18, "end": 2616.56, "word": " تكيب", "probability": 0.9967041015625}, {"start": 2616.56, "end": 2617.06, "word": " لكس،", "probability": 0.5684814453125}, {"start": 2617.06, "end": 2617.32, "word": " هذه", "probability": 0.2568359375}, {"start": 2617.32, "end": 2618.22, "word": " سك", "probability": 0.7310791015625}, {"start": 2618.22, "end": 2618.66, "word": " تكيب", "probability": 0.99853515625}, {"start": 2618.66, "end": 2619.56, "word": " صحيح،", "probability": 0.80712890625}, {"start": 2619.56, "end": 2620.06, "word": " هذه", "probability": 0.8505859375}, {"start": 2620.06, "end": 2620.48, "word": " سك", "probability": 0.988525390625}, {"start": 2620.48, "end": 2621.66, "word": " تكيب،", "probability": 0.89326171875}, {"start": 2621.66, "end": 2622.7, "word": " ونجلناها،", "probability": 0.8621651785714286}, {"start": 2622.7, "end": 2623.06, "word": " فهذه", "probability": 0.84912109375}, {"start": 2623.06, "end": 2623.48, "word": " سك", "probability": 0.96630859375}, {"start": 2623.48, "end": 2624.36, "word": " تكيب،", "probability": 0.919921875}, {"start": 2624.36, "end": 2624.6, "word": " وهذه", "probability": 0.6813151041666666}, {"start": 2624.6, "end": 2624.8, "word": " كل", "probability": 0.88427734375}, {"start": 2624.8, "end": 2625.0, "word": " شيء", "probability": 0.4112548828125}, {"start": 2625.0, "end": 2625.3, "word": " تمام", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 116, "seek": 264310, "start": 2632.48, "end": 2643.1, "text": "تكامل سك تكيب x دي x يسوى نص سك ال x بتان ال x زائد نص", "tokens": [2655, 4117, 10943, 1211, 8608, 4117, 6055, 4117, 1829, 3555, 2031, 11778, 1829, 2031, 7251, 3794, 2407, 7578, 8717, 9381, 8608, 4117, 2423, 2031, 4724, 2655, 7649, 2423, 2031, 30767, 16373, 3215, 8717, 9381], "avg_logprob": -0.3290178452219282, "compression_ratio": 1.2191780821917808, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2632.48, "end": 2633.6, "word": "تكامل", "probability": 0.655029296875}, {"start": 2633.6, "end": 2633.98, "word": " سك", "probability": 0.808349609375}, {"start": 2633.98, "end": 2634.68, "word": " تكيب", "probability": 0.8865966796875}, {"start": 2634.68, "end": 2635.08, "word": " x", "probability": 0.6103515625}, {"start": 2635.08, "end": 2635.38, "word": " دي", "probability": 0.6258544921875}, {"start": 2635.38, "end": 2635.72, "word": " x", "probability": 0.978515625}, {"start": 2635.72, "end": 2636.86, "word": " يسوى", "probability": 0.7642822265625}, {"start": 2636.86, "end": 2637.32, "word": " نص", "probability": 0.8505859375}, {"start": 2637.32, "end": 2638.24, "word": " سك", "probability": 0.924560546875}, {"start": 2638.24, "end": 2638.5, "word": " ال", "probability": 0.6318359375}, {"start": 2638.5, "end": 2638.98, "word": " x", "probability": 0.483642578125}, {"start": 2638.98, "end": 2640.0, "word": " بتان", "probability": 0.6366373697916666}, {"start": 2640.0, "end": 2640.26, "word": " ال", "probability": 0.6123046875}, {"start": 2640.26, "end": 2640.9, "word": " x", "probability": 0.83056640625}, {"start": 2640.9, "end": 2642.2, "word": " زائد", "probability": 0.8194986979166666}, {"start": 2642.2, "end": 2643.1, "word": " نص", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 117, "seek": 267193, "start": 2645.41, "end": 2671.93, "text": "خدناها قبلك يبقى الان absolute value لسك ال X زائد تاني ال X زائد كونستانسيك كيف تسيبها؟ مطلوب تكمل المثلة حتى النهاية ومشان تمرنيدك good exercise إلك بدنا تكامل كوسيكا تكييب ال X DX يظهر", "tokens": [9778, 3215, 8315, 11296, 12174, 36150, 4117, 7251, 3555, 4587, 7578, 2423, 7649, 8236, 2158, 5296, 3794, 4117, 2423, 1783, 30767, 16373, 3215, 6055, 7649, 1829, 2423, 1783, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 3794, 1829, 4117, 9122, 33911, 6055, 3794, 1829, 3555, 11296, 22807, 3714, 9566, 1211, 37746, 6055, 24793, 1211, 9673, 12984, 37977, 11331, 49975, 28239, 11296, 10632, 4032, 2304, 8592, 7649, 6055, 29973, 22653, 3215, 4117, 665, 5380, 11933, 23275, 47525, 8315, 6055, 4117, 10943, 1211, 9122, 41779, 1829, 4117, 995, 6055, 4117, 1829, 1829, 3555, 2423, 1783, 48817, 7251, 19913, 3224, 2288], "avg_logprob": -0.29113519009278743, "compression_ratio": 1.5422885572139304, "no_speech_prob": 0.0, "words": [{"start": 2645.41, "end": 2646.03, "word": "خدناها", "probability": 0.7188720703125}, {"start": 2646.03, "end": 2646.67, "word": " قبلك", "probability": 0.5731608072916666}, {"start": 2646.67, "end": 2647.73, "word": " يبقى", "probability": 0.83154296875}, {"start": 2647.73, "end": 2648.23, "word": " الان", "probability": 0.33758544921875}, {"start": 2648.23, "end": 2649.27, "word": " absolute", "probability": 0.66748046875}, {"start": 2649.27, "end": 2650.23, "word": " value", "probability": 0.994140625}, {"start": 2650.23, "end": 2651.25, "word": " لسك", "probability": 0.9537760416666666}, {"start": 2651.25, "end": 2651.53, "word": " ال", "probability": 0.63525390625}, {"start": 2651.53, "end": 2651.93, "word": " X", "probability": 0.7236328125}, {"start": 2651.93, "end": 2652.97, "word": " زائد", "probability": 0.8328450520833334}, {"start": 2652.97, "end": 2653.45, "word": " تاني", "probability": 0.8289388020833334}, {"start": 2653.45, "end": 2653.57, "word": " ال", "probability": 0.72900390625}, {"start": 2653.57, "end": 2653.97, "word": " X", "probability": 0.9814453125}, {"start": 2653.97, "end": 2655.31, "word": " زائد", "probability": 0.9654947916666666}, {"start": 2655.31, "end": 2657.31, "word": " كونستانسيك", "probability": 0.5948311941964286}, {"start": 2657.31, "end": 2658.03, "word": " كيف", "probability": 0.83740234375}, {"start": 2658.03, "end": 2658.75, "word": " تسيبها؟", "probability": 0.9252115885416666}, {"start": 2658.75, "end": 2659.19, "word": " مطلوب", "probability": 0.82958984375}, {"start": 2659.19, "end": 2659.75, "word": " تكمل", "probability": 0.9567057291666666}, {"start": 2659.75, "end": 2660.29, "word": " المثلة", "probability": 0.8566080729166666}, {"start": 2660.29, "end": 2660.71, "word": " حتى", "probability": 0.880615234375}, {"start": 2660.71, "end": 2661.35, "word": " النهاية", "probability": 0.9357096354166666}, {"start": 2661.35, "end": 2662.25, "word": " ومشان", "probability": 0.8448486328125}, {"start": 2662.25, "end": 2663.59, "word": " تمرنيدك", "probability": 0.75517578125}, {"start": 2663.59, "end": 2664.33, "word": " good", "probability": 0.281005859375}, {"start": 2664.33, "end": 2665.39, "word": " exercise", "probability": 0.93994140625}, {"start": 2665.39, "end": 2666.01, "word": " إلك", "probability": 0.49462890625}, {"start": 2666.01, "end": 2666.93, "word": " بدنا", "probability": 0.81787109375}, {"start": 2666.93, "end": 2668.01, "word": " تكامل", "probability": 0.9873046875}, {"start": 2668.01, "end": 2669.05, "word": " كوسيكا", "probability": 0.6247314453125}, {"start": 2669.05, "end": 2669.95, "word": " تكييب", "probability": 0.81787109375}, {"start": 2669.95, "end": 2670.15, "word": " ال", "probability": 0.8095703125}, {"start": 2670.15, "end": 2670.57, "word": " X", "probability": 0.9375}, {"start": 2670.57, "end": 2671.19, "word": " DX", "probability": 0.87353515625}, {"start": 2671.19, "end": 2671.93, "word": " يظهر", "probability": 0.8203125}], "temperature": 1.0}, {"id": 118, "seek": 269254, "start": 2675.68, "end": 2692.54, "text": "طيب خدلي كمان سؤال بيقوللي ايش؟ بيقوللي بدنا تكامل E أس اتنين X ل cosine تلاتة X DX", "tokens": [9566, 1829, 3555, 16490, 3215, 20292, 9122, 2304, 7649, 8608, 33604, 6027, 4724, 1829, 39648, 20292, 1975, 1829, 8592, 22807, 4724, 1829, 39648, 20292, 47525, 8315, 6055, 4117, 10943, 1211, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 5296, 23565, 6055, 1211, 9307, 3660, 1783, 48817], "avg_logprob": -0.23753324911949483, "compression_ratio": 1.2777777777777777, "no_speech_prob": 0.0, "words": [{"start": 2675.68, "end": 2676.08, "word": "طيب", "probability": 0.6907552083333334}, {"start": 2676.08, "end": 2676.58, "word": " خدلي", "probability": 0.67529296875}, {"start": 2676.58, "end": 2677.22, "word": " كمان", "probability": 0.9856770833333334}, {"start": 2677.22, "end": 2678.4, "word": " سؤال", "probability": 0.99658203125}, {"start": 2678.4, "end": 2679.9, "word": " بيقوللي", "probability": 0.85498046875}, {"start": 2679.9, "end": 2681.44, "word": " ايش؟", "probability": 0.7557373046875}, {"start": 2681.44, "end": 2684.0, "word": " بيقوللي", "probability": 0.9764404296875}, {"start": 2684.0, "end": 2684.94, "word": " بدنا", "probability": 0.801025390625}, {"start": 2684.94, "end": 2685.94, "word": " تكامل", "probability": 0.9822998046875}, {"start": 2685.94, "end": 2686.66, "word": " E", "probability": 0.8203125}, {"start": 2686.66, "end": 2687.22, "word": " أس", "probability": 0.615966796875}, {"start": 2687.22, "end": 2687.96, "word": " اتنين", "probability": 0.77703857421875}, {"start": 2687.96, "end": 2688.48, "word": " X", "probability": 0.89599609375}, {"start": 2688.48, "end": 2689.34, "word": " ل", "probability": 0.88720703125}, {"start": 2689.34, "end": 2690.18, "word": " cosine", "probability": 0.141845703125}, {"start": 2690.18, "end": 2691.48, "word": " تلاتة", "probability": 0.9456787109375}, {"start": 2691.48, "end": 2691.88, "word": " X", "probability": 0.9267578125}, {"start": 2691.88, "end": 2692.54, "word": " DX", "probability": 0.92822265625}], "temperature": 1.0}, {"id": 119, "seek": 272501, "start": 2698.19, "end": 2725.01, "text": "هذا السؤال ايش بتاخد صح كله مظبوط مش فيه مشكلة يبقى انا لو أخدت ال U تساوي E أس اتنين X واخدت ال DV ليه Cos تلاتة X DX يبقى DU يساوي اتنين E أس اتنين X DX و V يساوي تلت ساين تلاتة X", "tokens": [3224, 15730, 21136, 33604, 6027, 1975, 1829, 8592, 39894, 47283, 3215, 20328, 5016, 28242, 3224, 3714, 19913, 3555, 2407, 9566, 37893, 8978, 3224, 37893, 28820, 3660, 7251, 3555, 4587, 7578, 1975, 8315, 45164, 5551, 9778, 3215, 2655, 2423, 624, 6055, 3794, 995, 45865, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 4032, 47283, 3215, 2655, 2423, 17021, 32239, 3224, 15855, 6055, 1211, 9307, 3660, 1783, 48817, 7251, 3555, 4587, 7578, 28423, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 48817, 4032, 691, 7251, 3794, 995, 45865, 6055, 1211, 2655, 8608, 995, 9957, 6055, 1211, 9307, 3660, 1783], "avg_logprob": -0.19251179020359832, "compression_ratio": 1.8012048192771084, "no_speech_prob": 0.0, "words": [{"start": 2698.19, "end": 2698.63, "word": "هذا", "probability": 0.646728515625}, {"start": 2698.63, "end": 2699.31, "word": " السؤال", "probability": 0.9641927083333334}, {"start": 2699.31, "end": 2700.15, "word": " ايش", "probability": 0.649658203125}, {"start": 2700.15, "end": 2700.61, "word": " بتاخد", "probability": 0.784423828125}, {"start": 2700.61, "end": 2701.17, "word": " صح", "probability": 0.93994140625}, {"start": 2701.17, "end": 2702.29, "word": " كله", "probability": 0.78955078125}, {"start": 2702.29, "end": 2702.73, "word": " مظبوط", "probability": 0.802734375}, {"start": 2702.73, "end": 2703.01, "word": " مش", "probability": 0.697265625}, {"start": 2703.01, "end": 2703.21, "word": " فيه", "probability": 0.731689453125}, {"start": 2703.21, "end": 2703.99, "word": " مشكلة", "probability": 0.9757486979166666}, {"start": 2703.99, "end": 2704.61, "word": " يبقى", "probability": 0.9560546875}, {"start": 2704.61, "end": 2704.91, "word": " انا", "probability": 0.930908203125}, {"start": 2704.91, "end": 2705.17, "word": " لو", "probability": 0.96337890625}, {"start": 2705.17, "end": 2705.85, "word": " أخدت", "probability": 0.822998046875}, {"start": 2705.85, "end": 2706.03, "word": " ال", "probability": 0.79443359375}, {"start": 2706.03, "end": 2706.27, "word": " U", "probability": 0.697265625}, {"start": 2706.27, "end": 2707.01, "word": " تساوي", "probability": 0.7498779296875}, {"start": 2707.01, "end": 2707.47, "word": " E", "probability": 0.92333984375}, {"start": 2707.47, "end": 2707.79, "word": " أس", "probability": 0.5133056640625}, {"start": 2707.79, "end": 2708.33, "word": " اتنين", "probability": 0.900146484375}, {"start": 2708.33, "end": 2708.67, "word": " X", "probability": 0.927734375}, {"start": 2708.67, "end": 2709.83, "word": " واخدت", "probability": 0.8795166015625}, {"start": 2709.83, "end": 2710.01, "word": " ال", "probability": 0.5673828125}, {"start": 2710.01, "end": 2710.49, "word": " DV", "probability": 0.4072265625}, {"start": 2710.49, "end": 2711.23, "word": " ليه", "probability": 0.859619140625}, {"start": 2711.23, "end": 2711.59, "word": " Cos", "probability": 0.468017578125}, {"start": 2711.59, "end": 2712.83, "word": " تلاتة", "probability": 0.852783203125}, {"start": 2712.83, "end": 2713.15, "word": " X", "probability": 0.85888671875}, {"start": 2713.15, "end": 2713.83, "word": " DX", "probability": 0.9658203125}, {"start": 2713.83, "end": 2715.11, "word": " يبقى", "probability": 0.9656982421875}, {"start": 2715.11, "end": 2715.73, "word": " DU", "probability": 0.92138671875}, {"start": 2715.73, "end": 2716.59, "word": " يساوي", "probability": 0.9345703125}, {"start": 2716.59, "end": 2717.25, "word": " اتنين", "probability": 0.905029296875}, {"start": 2717.25, "end": 2717.63, "word": " E", "probability": 0.9931640625}, {"start": 2717.63, "end": 2718.13, "word": " أس", "probability": 0.828857421875}, {"start": 2718.13, "end": 2718.71, "word": " اتنين", "probability": 0.9832763671875}, {"start": 2718.71, "end": 2719.13, "word": " X", "probability": 0.8623046875}, {"start": 2719.13, "end": 2719.77, "word": " DX", "probability": 0.98828125}, {"start": 2719.77, "end": 2720.53, "word": " و", "probability": 0.57763671875}, {"start": 2720.53, "end": 2721.15, "word": " V", "probability": 0.458984375}, {"start": 2721.15, "end": 2722.29, "word": " يساوي", "probability": 0.947265625}, {"start": 2722.29, "end": 2723.07, "word": " تلت", "probability": 0.9806315104166666}, {"start": 2723.07, "end": 2723.79, "word": " ساين", "probability": 0.6951904296875}, {"start": 2723.79, "end": 2724.73, "word": " تلاتة", "probability": 0.960205078125}, {"start": 2724.73, "end": 2725.01, "word": " X", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 120, "seek": 274695, "start": 2725.85, "end": 2746.95, "text": "يبقى النتيجة تساوي U في V يبقى تلت E أس اتنين X في sign تلاتة X ماقص تكامل V اللي تلت sign تلاتة X دال U اتنين E أس اتنين X DX", "tokens": [1829, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 6055, 3794, 995, 45865, 624, 8978, 691, 7251, 3555, 4587, 7578, 6055, 1211, 2655, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 8978, 1465, 6055, 1211, 9307, 3660, 1783, 19446, 4587, 9381, 6055, 4117, 10943, 1211, 691, 13672, 1829, 6055, 1211, 2655, 1465, 6055, 1211, 9307, 3660, 1783, 11778, 6027, 624, 1975, 2655, 1863, 9957, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 48817], "avg_logprob": -0.16877141064160492, "compression_ratio": 1.5703125, "no_speech_prob": 0.0, "words": [{"start": 2725.85, "end": 2726.45, "word": "يبقى", "probability": 0.9417724609375}, {"start": 2726.45, "end": 2727.15, "word": " النتيجة", "probability": 0.9493408203125}, {"start": 2727.15, "end": 2727.83, "word": " تساوي", "probability": 0.8828125}, {"start": 2727.83, "end": 2728.37, "word": " U", "probability": 0.669921875}, {"start": 2728.37, "end": 2728.69, "word": " في", "probability": 0.7578125}, {"start": 2728.69, "end": 2729.13, "word": " V", "probability": 0.96337890625}, {"start": 2729.13, "end": 2730.23, "word": " يبقى", "probability": 0.9473876953125}, {"start": 2730.23, "end": 2730.79, "word": " تلت", "probability": 0.8689778645833334}, {"start": 2730.79, "end": 2731.21, "word": " E", "probability": 0.9248046875}, {"start": 2731.21, "end": 2731.73, "word": " أس", "probability": 0.4171142578125}, {"start": 2731.73, "end": 2732.47, "word": " اتنين", "probability": 0.9075927734375}, {"start": 2732.47, "end": 2732.91, "word": " X", "probability": 0.97265625}, {"start": 2732.91, "end": 2733.51, "word": " في", "probability": 0.8798828125}, {"start": 2733.51, "end": 2734.07, "word": " sign", "probability": 0.1539306640625}, {"start": 2734.07, "end": 2735.17, "word": " تلاتة", "probability": 0.8199462890625}, {"start": 2735.17, "end": 2735.55, "word": " X", "probability": 0.93701171875}, {"start": 2735.55, "end": 2736.55, "word": " ماقص", "probability": 0.7172037760416666}, {"start": 2736.55, "end": 2737.45, "word": " تكامل", "probability": 0.977294921875}, {"start": 2737.45, "end": 2738.21, "word": " V", "probability": 0.98095703125}, {"start": 2738.21, "end": 2738.59, "word": " اللي", "probability": 0.630126953125}, {"start": 2738.59, "end": 2739.43, "word": " تلت", "probability": 0.876953125}, {"start": 2739.43, "end": 2740.11, "word": " sign", "probability": 0.7392578125}, {"start": 2740.11, "end": 2741.15, "word": " تلاتة", "probability": 0.9197998046875}, {"start": 2741.15, "end": 2741.55, "word": " X", "probability": 0.96337890625}, {"start": 2741.55, "end": 2742.49, "word": " دال", "probability": 0.871826171875}, {"start": 2742.49, "end": 2742.91, "word": " U", "probability": 0.85107421875}, {"start": 2742.91, "end": 2744.19, "word": " اتنين", "probability": 0.9542236328125}, {"start": 2744.19, "end": 2744.63, "word": " E", "probability": 0.99609375}, {"start": 2744.63, "end": 2745.11, "word": " أس", "probability": 0.9228515625}, {"start": 2745.11, "end": 2745.81, "word": " اتنين", "probability": 0.9866943359375}, {"start": 2745.81, "end": 2746.29, "word": " X", "probability": 0.94482421875}, {"start": 2746.29, "end": 2746.95, "word": " DX", "probability": 0.82666015625}], "temperature": 1.0}, {"id": 121, "seek": 275997, "start": 2748.45, "end": 2759.97, "text": "يبقى هذا بده نزله زي ما هو وهذا ناقص تلتين تكامل E أس اتنين X Sine تلاتة X DX", "tokens": [1829, 3555, 4587, 7578, 23758, 47525, 3224, 8717, 11622, 43761, 30767, 1829, 19446, 31439, 37037, 15730, 8717, 995, 4587, 9381, 6055, 1211, 2655, 9957, 6055, 4117, 10943, 1211, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 318, 533, 6055, 1211, 9307, 3660, 1783, 48817], "avg_logprob": -0.22309028175142076, "compression_ratio": 1.2211538461538463, "no_speech_prob": 0.0, "words": [{"start": 2748.45, "end": 2749.01, "word": "يبقى", "probability": 0.8624267578125}, {"start": 2749.01, "end": 2749.25, "word": " هذا", "probability": 0.91943359375}, {"start": 2749.25, "end": 2749.61, "word": " بده", "probability": 0.3837890625}, {"start": 2749.61, "end": 2750.03, "word": " نزله", "probability": 0.8821614583333334}, {"start": 2750.03, "end": 2750.41, "word": " زي", "probability": 0.97802734375}, {"start": 2750.41, "end": 2750.57, "word": " ما", "probability": 0.88623046875}, {"start": 2750.57, "end": 2750.83, "word": " هو", "probability": 0.99560546875}, {"start": 2750.83, "end": 2751.81, "word": " وهذا", "probability": 0.83251953125}, {"start": 2751.81, "end": 2752.53, "word": " ناقص", "probability": 0.974365234375}, {"start": 2752.53, "end": 2753.97, "word": " تلتين", "probability": 0.7811279296875}, {"start": 2753.97, "end": 2755.35, "word": " تكامل", "probability": 0.9669189453125}, {"start": 2755.35, "end": 2755.97, "word": " E", "probability": 0.463134765625}, {"start": 2755.97, "end": 2756.29, "word": " أس", "probability": 0.543212890625}, {"start": 2756.29, "end": 2756.95, "word": " اتنين", "probability": 0.95654296875}, {"start": 2756.95, "end": 2757.39, "word": " X", "probability": 0.94970703125}, {"start": 2757.39, "end": 2758.27, "word": " Sine", "probability": 0.537109375}, {"start": 2758.27, "end": 2759.09, "word": " تلاتة", "probability": 0.8958740234375}, {"start": 2759.09, "end": 2759.51, "word": " X", "probability": 0.86474609375}, {"start": 2759.51, "end": 2759.97, "word": " DX", "probability": 0.93017578125}], "temperature": 1.0}, {"id": 122, "seek": 278993, "start": 2768.85, "end": 2789.93, "text": "يبقى ال U تساوي E أس اتنين X وDV تساوي Sine تلاتة X DX يبقى DU باتنين E أس اتنين X DX و V بطول Cosine تلاتة X بس بإشارة", "tokens": [1829, 3555, 4587, 7578, 2423, 624, 6055, 3794, 995, 45865, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 4032, 35, 53, 6055, 3794, 995, 45865, 318, 533, 6055, 1211, 9307, 3660, 1783, 48817, 7251, 3555, 4587, 7578, 28423, 4724, 9307, 1863, 9957, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 48817, 4032, 691, 4724, 9566, 12610, 15855, 533, 6055, 1211, 9307, 3660, 1783, 4724, 3794, 4724, 28814, 8592, 9640, 3660], "avg_logprob": -0.32350352112676056, "compression_ratio": 1.525, "no_speech_prob": 0.0, "words": [{"start": 2768.8500000000004, "end": 2770.03, "word": "يبقى", "probability": 0.696258544921875}, {"start": 2770.03, "end": 2770.19, "word": " ال", "probability": 0.7939453125}, {"start": 2770.19, "end": 2770.57, "word": " U", "probability": 0.50439453125}, {"start": 2770.57, "end": 2771.61, "word": " تساوي", "probability": 0.740509033203125}, {"start": 2771.61, "end": 2772.13, "word": " E", "probability": 0.90478515625}, {"start": 2772.13, "end": 2772.69, "word": " أس", "probability": 0.4522705078125}, {"start": 2772.69, "end": 2773.33, "word": " اتنين", "probability": 0.84161376953125}, {"start": 2773.33, "end": 2773.75, "word": " X", "probability": 0.88818359375}, {"start": 2773.75, "end": 2775.71, "word": " وDV", "probability": 0.5459798177083334}, {"start": 2775.71, "end": 2777.13, "word": " تساوي", "probability": 0.778900146484375}, {"start": 2777.13, "end": 2777.85, "word": " Sine", "probability": 0.4544677734375}, {"start": 2777.85, "end": 2778.71, "word": " تلاتة", "probability": 0.84375}, {"start": 2778.71, "end": 2779.09, "word": " X", "probability": 0.85693359375}, {"start": 2779.09, "end": 2780.11, "word": " DX", "probability": 0.8251953125}, {"start": 2780.11, "end": 2781.19, "word": " يبقى", "probability": 0.968505859375}, {"start": 2781.19, "end": 2781.77, "word": " DU", "probability": 0.80224609375}, {"start": 2781.77, "end": 2782.69, "word": " باتنين", "probability": 0.72039794921875}, {"start": 2782.69, "end": 2783.07, "word": " E", "probability": 0.98291015625}, {"start": 2783.07, "end": 2783.45, "word": " أس", "probability": 0.851318359375}, {"start": 2783.45, "end": 2784.03, "word": " اتنين", "probability": 0.9732666015625}, {"start": 2784.03, "end": 2784.47, "word": " X", "probability": 0.93359375}, {"start": 2784.47, "end": 2785.09, "word": " DX", "probability": 0.9931640625}, {"start": 2785.09, "end": 2785.69, "word": " و", "probability": 0.75634765625}, {"start": 2785.69, "end": 2786.05, "word": " V", "probability": 0.50390625}, {"start": 2786.05, "end": 2786.85, "word": " بطول", "probability": 0.7244466145833334}, {"start": 2786.85, "end": 2788.11, "word": " Cosine", "probability": 0.281982421875}, {"start": 2788.11, "end": 2788.65, "word": " تلاتة", "probability": 0.9676513671875}, {"start": 2788.65, "end": 2788.89, "word": " X", "probability": 0.990234375}, {"start": 2788.89, "end": 2789.13, "word": " بس", "probability": 0.699951171875}, {"start": 2789.13, "end": 2789.93, "word": " بإشارة", "probability": 0.84765625}], "temperature": 1.0}, {"id": 123, "seek": 281417, "start": 2790.51, "end": 2814.17, "text": "ثالث طيب صار عندنا مين؟ تكامل لل E أُس 2X Cos 3X DX يساوي طول E أُس 2X Sin 3X هنا وصلنا مين؟ ناقص طول 2 وهيقص", "tokens": [12984, 6027, 12984, 23032, 1829, 3555, 20328, 9640, 43242, 8315, 3714, 9957, 22807, 6055, 4117, 10943, 1211, 24976, 462, 5551, 10859, 3794, 568, 55, 15855, 805, 55, 48817, 7251, 3794, 995, 45865, 23032, 12610, 462, 5551, 10859, 3794, 568, 55, 11187, 805, 55, 34105, 4032, 36520, 8315, 3714, 9957, 22807, 8717, 995, 4587, 9381, 23032, 12610, 568, 37037, 1829, 4587, 9381], "avg_logprob": -0.2094253991400042, "compression_ratio": 1.3307692307692307, "no_speech_prob": 0.0, "words": [{"start": 2790.51, "end": 2791.59, "word": "ثالث", "probability": 0.8466796875}, {"start": 2791.59, "end": 2792.49, "word": " طيب", "probability": 0.8359375}, {"start": 2792.49, "end": 2793.49, "word": " صار", "probability": 0.855712890625}, {"start": 2793.49, "end": 2793.91, "word": " عندنا", "probability": 0.654296875}, {"start": 2793.91, "end": 2794.37, "word": " مين؟", "probability": 0.8033854166666666}, {"start": 2794.37, "end": 2795.47, "word": " تكامل", "probability": 0.9814453125}, {"start": 2795.47, "end": 2796.19, "word": " لل", "probability": 0.78369140625}, {"start": 2796.19, "end": 2796.69, "word": " E", "probability": 0.68505859375}, {"start": 2796.69, "end": 2797.07, "word": " أُس", "probability": 0.5247395833333334}, {"start": 2797.07, "end": 2798.37, "word": " 2X", "probability": 0.756591796875}, {"start": 2798.37, "end": 2799.19, "word": " Cos", "probability": 0.4638671875}, {"start": 2799.19, "end": 2800.75, "word": " 3X", "probability": 0.922607421875}, {"start": 2800.75, "end": 2801.49, "word": " DX", "probability": 0.83349609375}, {"start": 2801.49, "end": 2802.81, "word": " يساوي", "probability": 0.9093017578125}, {"start": 2802.81, "end": 2803.85, "word": " طول", "probability": 0.84033203125}, {"start": 2803.85, "end": 2804.65, "word": " E", "probability": 0.99169921875}, {"start": 2804.65, "end": 2805.15, "word": " أُس", "probability": 0.982421875}, {"start": 2805.15, "end": 2806.31, "word": " 2X", "probability": 0.98828125}, {"start": 2806.31, "end": 2807.19, "word": " Sin", "probability": 0.6123046875}, {"start": 2807.19, "end": 2808.59, "word": " 3X", "probability": 0.979736328125}, {"start": 2808.59, "end": 2809.77, "word": " هنا", "probability": 0.54833984375}, {"start": 2809.77, "end": 2810.37, "word": " وصلنا", "probability": 0.9866536458333334}, {"start": 2810.37, "end": 2811.27, "word": " مين؟", "probability": 0.8831380208333334}, {"start": 2811.27, "end": 2812.27, "word": " ناقص", "probability": 0.9534912109375}, {"start": 2812.27, "end": 2812.79, "word": " طول", "probability": 0.973876953125}, {"start": 2812.79, "end": 2813.37, "word": " 2", "probability": 0.65380859375}, {"start": 2813.37, "end": 2814.17, "word": " وهيقص", "probability": 0.61090087890625}], "temperature": 1.0}, {"id": 124, "seek": 283365, "start": 2815.07, "end": 2833.65, "text": "نرى بالك، لو جالك سؤال زي هيك، ستخلق، سالم تلتين باخد مرة و بفتح الجزء، هذا الان integration by parts جديد U في V يبقى سالم تلت E قوس اتنين X كوسينتلاتة X", "tokens": [1863, 2288, 7578, 20666, 4117, 12399, 45164, 10874, 6027, 4117, 8608, 33604, 6027, 30767, 1829, 39896, 4117, 12399, 8608, 2655, 9778, 1211, 4587, 12399, 8608, 45340, 6055, 1211, 2655, 9957, 4724, 47283, 3215, 3714, 25720, 4032, 4724, 5172, 2655, 5016, 25724, 11622, 38207, 12399, 23758, 2423, 7649, 10980, 538, 3166, 10874, 16254, 3215, 624, 8978, 691, 7251, 3555, 4587, 7578, 8608, 45340, 6055, 1211, 2655, 462, 12174, 41779, 1975, 2655, 1863, 9957, 1783, 9122, 41779, 9957, 2655, 1211, 9307, 3660, 1783], "avg_logprob": -0.41463413471128885, "compression_ratio": 1.4624277456647399, "no_speech_prob": 0.0, "words": [{"start": 2815.07, "end": 2815.47, "word": "نرى", "probability": 0.38177490234375}, {"start": 2815.47, "end": 2815.89, "word": " بالك،", "probability": 0.6372884114583334}, {"start": 2815.89, "end": 2815.97, "word": " لو", "probability": 0.6005859375}, {"start": 2815.97, "end": 2816.41, "word": " جالك", "probability": 0.607421875}, {"start": 2816.41, "end": 2816.63, "word": " سؤال", "probability": 0.8317057291666666}, {"start": 2816.63, "end": 2816.85, "word": " زي", "probability": 0.794921875}, {"start": 2816.85, "end": 2817.45, "word": " هيك،", "probability": 0.7006022135416666}, {"start": 2817.45, "end": 2818.47, "word": " ستخلق،", "probability": 0.5111083984375}, {"start": 2818.47, "end": 2819.11, "word": " سالم", "probability": 0.617431640625}, {"start": 2819.11, "end": 2819.57, "word": " تلتين", "probability": 0.896240234375}, {"start": 2819.57, "end": 2819.85, "word": " باخد", "probability": 0.646240234375}, {"start": 2819.85, "end": 2820.13, "word": " مرة", "probability": 0.724853515625}, {"start": 2820.13, "end": 2820.25, "word": " و", "probability": 0.2412109375}, {"start": 2820.25, "end": 2820.63, "word": " بفتح", "probability": 0.8658447265625}, {"start": 2820.63, "end": 2821.23, "word": " الجزء،", "probability": 0.6846923828125}, {"start": 2821.23, "end": 2821.55, "word": " هذا", "probability": 0.89892578125}, {"start": 2821.55, "end": 2822.07, "word": " الان", "probability": 0.6527099609375}, {"start": 2822.07, "end": 2822.85, "word": " integration", "probability": 0.80322265625}, {"start": 2822.85, "end": 2823.21, "word": " by", "probability": 0.6845703125}, {"start": 2823.21, "end": 2823.57, "word": " parts", "probability": 0.92138671875}, {"start": 2823.57, "end": 2824.29, "word": " جديد", "probability": 0.9747721354166666}, {"start": 2824.29, "end": 2825.01, "word": " U", "probability": 0.1971435546875}, {"start": 2825.01, "end": 2825.37, "word": " في", "probability": 0.77978515625}, {"start": 2825.37, "end": 2825.79, "word": " V", "probability": 0.93359375}, {"start": 2825.79, "end": 2826.83, "word": " يبقى", "probability": 0.9537353515625}, {"start": 2826.83, "end": 2827.39, "word": " سالم", "probability": 0.977294921875}, {"start": 2827.39, "end": 2828.47, "word": " تلت", "probability": 0.97705078125}, {"start": 2828.47, "end": 2829.27, "word": " E", "probability": 0.84912109375}, {"start": 2829.27, "end": 2829.91, "word": " قوس", "probability": 0.23883056640625}, {"start": 2829.91, "end": 2830.65, "word": " اتنين", "probability": 0.864501953125}, {"start": 2830.65, "end": 2831.13, "word": " X", "probability": 0.9833984375}, {"start": 2831.13, "end": 2833.37, "word": " كوسينتلاتة", "probability": 0.6832798549107143}, {"start": 2833.37, "end": 2833.65, "word": " X", "probability": 0.94921875}], "temperature": 1.0}, {"id": 125, "seek": 285938, "start": 2834.2, "end": 2859.38, "text": "سالب تكامل V اللي بسالب تلت cosine تلت اكس داليه اتنين اقص اتنين اكس DX جفلنا يبقى هذا الكلام يساوي تلت اقص اتنين اكس sine تلت اكس زائد اتنين على تسعة", "tokens": [3794, 6027, 3555, 6055, 4117, 10943, 1211, 691, 13672, 1829, 4724, 3794, 6027, 3555, 6055, 1211, 2655, 23565, 6055, 1211, 2655, 1975, 4117, 3794, 11778, 6027, 1829, 3224, 1975, 2655, 1863, 9957, 1975, 4587, 9381, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 48817, 10874, 5172, 1211, 8315, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 6055, 1211, 2655, 1975, 4587, 9381, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 18609, 6055, 1211, 2655, 1975, 4117, 3794, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 15844, 6055, 3794, 27884], "avg_logprob": -0.22750686976935838, "compression_ratio": 1.7602739726027397, "no_speech_prob": 0.0, "words": [{"start": 2834.2, "end": 2835.22, "word": "سالب", "probability": 0.6382242838541666}, {"start": 2835.22, "end": 2836.32, "word": " تكامل", "probability": 0.951171875}, {"start": 2836.32, "end": 2837.28, "word": " V", "probability": 0.6640625}, {"start": 2837.28, "end": 2837.72, "word": " اللي", "probability": 0.484161376953125}, {"start": 2837.72, "end": 2838.44, "word": " بسالب", "probability": 0.88037109375}, {"start": 2838.44, "end": 2838.98, "word": " تلت", "probability": 0.9462890625}, {"start": 2838.98, "end": 2839.76, "word": " cosine", "probability": 0.1519775390625}, {"start": 2839.76, "end": 2841.04, "word": " تلت", "probability": 0.83056640625}, {"start": 2841.04, "end": 2841.5, "word": " اكس", "probability": 0.77978515625}, {"start": 2841.5, "end": 2842.76, "word": " داليه", "probability": 0.7508544921875}, {"start": 2842.76, "end": 2843.68, "word": " اتنين", "probability": 0.7430419921875}, {"start": 2843.68, "end": 2844.7, "word": " اقص", "probability": 0.664306640625}, {"start": 2844.7, "end": 2845.4, "word": " اتنين", "probability": 0.904541015625}, {"start": 2845.4, "end": 2845.96, "word": " اكس", "probability": 0.9835611979166666}, {"start": 2845.96, "end": 2846.7, "word": " DX", "probability": 0.68359375}, {"start": 2846.7, "end": 2847.8, "word": " جفلنا", "probability": 0.7366943359375}, {"start": 2847.8, "end": 2848.9, "word": " يبقى", "probability": 0.853271484375}, {"start": 2848.9, "end": 2849.2, "word": " هذا", "probability": 0.87353515625}, {"start": 2849.2, "end": 2849.8, "word": " الكلام", "probability": 0.9685872395833334}, {"start": 2849.8, "end": 2850.54, "word": " يساوي", "probability": 0.8505859375}, {"start": 2850.54, "end": 2851.3, "word": " تلت", "probability": 0.98876953125}, {"start": 2851.3, "end": 2852.24, "word": " اقص", "probability": 0.8759765625}, {"start": 2852.24, "end": 2852.9, "word": " اتنين", "probability": 0.9935302734375}, {"start": 2852.9, "end": 2853.54, "word": " اكس", "probability": 0.98828125}, {"start": 2853.54, "end": 2854.26, "word": " sine", "probability": 0.329833984375}, {"start": 2854.26, "end": 2854.86, "word": " تلت", "probability": 0.9822591145833334}, {"start": 2854.86, "end": 2855.36, "word": " اكس", "probability": 0.9905598958333334}, {"start": 2855.36, "end": 2856.94, "word": " زائد", "probability": 0.89208984375}, {"start": 2856.94, "end": 2858.2, "word": " اتنين", "probability": 0.9827880859375}, {"start": 2858.2, "end": 2858.58, "word": " على", "probability": 0.6416015625}, {"start": 2858.58, "end": 2859.38, "word": " تسعة", "probability": 0.9890950520833334}], "temperature": 1.0}, {"id": 126, "seek": 288230, "start": 2860.26, "end": 2882.3, "text": "E أس اتنين X كوسين تلاتة X ناقص ناقص ناقص يبقى بتلاتة يبقى بصير الناقص نيجي عندك هنا هنا تلتين وهنا عندك تلتين يبقى أربعة ساعة", "tokens": [36, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 9122, 41779, 9957, 6055, 1211, 9307, 3660, 1783, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 7251, 3555, 4587, 7578, 39894, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 28239, 995, 4587, 9381, 8717, 1829, 7435, 1829, 43242, 4117, 34105, 34105, 6055, 1211, 2655, 9957, 37037, 8315, 43242, 4117, 6055, 1211, 2655, 9957, 7251, 3555, 4587, 7578, 5551, 25513, 27884, 8608, 995, 27884], "avg_logprob": -0.1649639415435302, "compression_ratio": 1.8823529411764706, "no_speech_prob": 0.0, "words": [{"start": 2860.26, "end": 2860.96, "word": "E", "probability": 0.1827392578125}, {"start": 2860.96, "end": 2861.52, "word": " أس", "probability": 0.55712890625}, {"start": 2861.52, "end": 2862.5, "word": " اتنين", "probability": 0.940673828125}, {"start": 2862.5, "end": 2863.0, "word": " X", "probability": 0.90625}, {"start": 2863.0, "end": 2863.98, "word": " كوسين", "probability": 0.57470703125}, {"start": 2863.98, "end": 2865.26, "word": " تلاتة", "probability": 0.9364013671875}, {"start": 2865.26, "end": 2865.78, "word": " X", "probability": 0.8017578125}, {"start": 2865.78, "end": 2867.74, "word": " ناقص", "probability": 0.892333984375}, {"start": 2867.74, "end": 2868.72, "word": " ناقص", "probability": 0.9202880859375}, {"start": 2868.72, "end": 2869.6, "word": " ناقص", "probability": 0.9251708984375}, {"start": 2869.6, "end": 2870.1, "word": " يبقى", "probability": 0.9617919921875}, {"start": 2870.1, "end": 2871.42, "word": " بتلاتة", "probability": 0.9014892578125}, {"start": 2871.42, "end": 2872.08, "word": " يبقى", "probability": 0.96826171875}, {"start": 2872.08, "end": 2872.64, "word": " بصير", "probability": 0.931640625}, {"start": 2872.64, "end": 2873.44, "word": " الناقص", "probability": 0.902099609375}, {"start": 2873.44, "end": 2874.12, "word": " نيجي", "probability": 0.7598876953125}, {"start": 2874.12, "end": 2874.6, "word": " عندك", "probability": 0.976806640625}, {"start": 2874.6, "end": 2874.94, "word": " هنا", "probability": 0.93701171875}, {"start": 2874.94, "end": 2876.16, "word": " هنا", "probability": 0.451904296875}, {"start": 2876.16, "end": 2877.06, "word": " تلتين", "probability": 0.9500732421875}, {"start": 2877.06, "end": 2878.08, "word": " وهنا", "probability": 0.77734375}, {"start": 2878.08, "end": 2878.68, "word": " عندك", "probability": 0.99267578125}, {"start": 2878.68, "end": 2879.76, "word": " تلتين", "probability": 0.996337890625}, {"start": 2879.76, "end": 2880.66, "word": " يبقى", "probability": 0.987548828125}, {"start": 2880.66, "end": 2881.46, "word": " أربعة", "probability": 0.8875325520833334}, {"start": 2881.46, "end": 2882.3, "word": " ساعة", "probability": 0.6780598958333334}], "temperature": 1.0}, {"id": 127, "seek": 289690, "start": 2883.36, "end": 2896.9, "text": "أربعة ساعة تكامل لإي أس اتنين اكس قصين تلاتة اكس دي اكس اتطلع في ال term هذا هو ال term هذا", "tokens": [10721, 25513, 27884, 8608, 995, 27884, 6055, 4117, 10943, 1211, 5296, 28814, 1829, 5551, 3794, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 12174, 9381, 9957, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 11778, 1829, 1975, 4117, 3794, 1975, 2655, 9566, 1211, 3615, 8978, 2423, 1433, 23758, 31439, 2423, 1433, 23758], "avg_logprob": -0.2780330823917015, "compression_ratio": 1.4666666666666666, "no_speech_prob": 0.0, "words": [{"start": 2883.36, "end": 2884.16, "word": "أربعة", "probability": 0.7294108072916666}, {"start": 2884.16, "end": 2884.96, "word": " ساعة", "probability": 0.6389973958333334}, {"start": 2884.96, "end": 2886.36, "word": " تكامل", "probability": 0.972900390625}, {"start": 2886.36, "end": 2887.32, "word": " لإي", "probability": 0.703369140625}, {"start": 2887.32, "end": 2887.7, "word": " أس", "probability": 0.604736328125}, {"start": 2887.7, "end": 2888.4, "word": " اتنين", "probability": 0.940673828125}, {"start": 2888.4, "end": 2889.18, "word": " اكس", "probability": 0.725341796875}, {"start": 2889.18, "end": 2890.1, "word": " قصين", "probability": 0.5689697265625}, {"start": 2890.1, "end": 2890.92, "word": " تلاتة", "probability": 0.9290771484375}, {"start": 2890.92, "end": 2891.6, "word": " اكس", "probability": 0.9586588541666666}, {"start": 2891.6, "end": 2891.94, "word": " دي", "probability": 0.725830078125}, {"start": 2891.94, "end": 2892.42, "word": " اكس", "probability": 0.9381510416666666}, {"start": 2892.42, "end": 2893.82, "word": " اتطلع", "probability": 0.72548828125}, {"start": 2893.82, "end": 2893.96, "word": " في", "probability": 0.83349609375}, {"start": 2893.96, "end": 2894.1, "word": " ال", "probability": 0.83935546875}, {"start": 2894.1, "end": 2894.44, "word": " term", "probability": 0.91552734375}, {"start": 2894.44, "end": 2894.88, "word": " هذا", "probability": 0.77587890625}, {"start": 2894.88, "end": 2895.86, "word": " هو", "probability": 0.87451171875}, {"start": 2895.86, "end": 2896.08, "word": " ال", "probability": 0.9462890625}, {"start": 2896.08, "end": 2896.46, "word": " term", "probability": 0.88037109375}, {"start": 2896.46, "end": 2896.9, "word": " هذا", "probability": 0.927734375}], "temperature": 1.0}, {"id": 128, "seek": 292498, "start": 2898.7, "end": 2924.98, "text": "نفسه؟ نفسه يبقى بده أشيله و أديه عنده بطول قداش واحد زائد أربعة تسعة يعني قداش تلتاشر على تسعة. إذن بصير عندي تلتاشر على تسعة تكامل E أس اتنين X Cos تلاتة X DX يساوي بمسك هذا بنزله هنا زي ما هو", "tokens": [1863, 36178, 3224, 22807, 8717, 36178, 3224, 7251, 3555, 4587, 7578, 47525, 3224, 5551, 8592, 26895, 3224, 4032, 5551, 16254, 3224, 43242, 3224, 4724, 9566, 12610, 12174, 3215, 33599, 36764, 24401, 30767, 16373, 3215, 5551, 25513, 27884, 6055, 3794, 27884, 37495, 22653, 12174, 3215, 33599, 6055, 1211, 2655, 33599, 2288, 15844, 6055, 3794, 27884, 13, 11933, 8848, 1863, 4724, 9381, 13546, 18871, 16254, 6055, 1211, 2655, 33599, 2288, 15844, 6055, 3794, 27884, 6055, 4117, 10943, 1211, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 15855, 6055, 1211, 9307, 3660, 1783, 48817, 7251, 3794, 995, 45865, 4724, 2304, 3794, 4117, 23758, 44945, 11622, 43761, 34105, 30767, 1829, 19446, 31439], "avg_logprob": -0.24899656947599638, "compression_ratio": 1.7230769230769232, "no_speech_prob": 0.0, "words": [{"start": 2898.7, "end": 2899.58, "word": "نفسه؟", "probability": 0.638946533203125}, {"start": 2899.58, "end": 2900.04, "word": " نفسه", "probability": 0.83740234375}, {"start": 2900.04, "end": 2900.42, "word": " يبقى", "probability": 0.73065185546875}, {"start": 2900.42, "end": 2900.7, "word": " بده", "probability": 0.695556640625}, {"start": 2900.7, "end": 2901.08, "word": " أشيله", "probability": 0.71820068359375}, {"start": 2901.08, "end": 2901.24, "word": " و", "probability": 0.927734375}, {"start": 2901.24, "end": 2901.52, "word": " أديه", "probability": 0.83056640625}, {"start": 2901.52, "end": 2902.04, "word": " عنده", "probability": 0.974609375}, {"start": 2902.04, "end": 2902.86, "word": " بطول", "probability": 0.4114990234375}, {"start": 2902.86, "end": 2903.52, "word": " قداش", "probability": 0.8494466145833334}, {"start": 2903.52, "end": 2905.12, "word": " واحد", "probability": 0.6776123046875}, {"start": 2905.12, "end": 2906.16, "word": " زائد", "probability": 0.92236328125}, {"start": 2906.16, "end": 2906.88, "word": " أربعة", "probability": 0.8732096354166666}, {"start": 2906.88, "end": 2907.38, "word": " تسعة", "probability": 0.7819010416666666}, {"start": 2907.38, "end": 2907.66, "word": " يعني", "probability": 0.900634765625}, {"start": 2907.66, "end": 2908.34, "word": " قداش", "probability": 0.9285481770833334}, {"start": 2908.34, "end": 2909.6, "word": " تلتاشر", "probability": 0.879296875}, {"start": 2909.6, "end": 2909.82, "word": " على", "probability": 0.6728515625}, {"start": 2909.82, "end": 2910.38, "word": " تسعة.", "probability": 0.9962565104166666}, {"start": 2910.54, "end": 2911.16, "word": " إذن", "probability": 0.65234375}, {"start": 2911.16, "end": 2911.58, "word": " بصير", "probability": 0.8172200520833334}, {"start": 2911.58, "end": 2912.14, "word": " عندي", "probability": 0.8798828125}, {"start": 2912.14, "end": 2913.34, "word": " تلتاشر", "probability": 0.99072265625}, {"start": 2913.34, "end": 2913.56, "word": " على", "probability": 0.88916015625}, {"start": 2913.56, "end": 2914.18, "word": " تسعة", "probability": 0.99658203125}, {"start": 2914.18, "end": 2915.32, "word": " تكامل", "probability": 0.959716796875}, {"start": 2915.32, "end": 2915.66, "word": " E", "probability": 0.61865234375}, {"start": 2915.66, "end": 2916.04, "word": " أس", "probability": 0.5799560546875}, {"start": 2916.04, "end": 2916.68, "word": " اتنين", "probability": 0.9742431640625}, {"start": 2916.68, "end": 2917.1, "word": " X", "probability": 0.97705078125}, {"start": 2917.1, "end": 2917.84, "word": " Cos", "probability": 0.4521484375}, {"start": 2917.84, "end": 2919.0, "word": " تلاتة", "probability": 0.73516845703125}, {"start": 2919.0, "end": 2919.3, "word": " X", "probability": 0.81005859375}, {"start": 2919.3, "end": 2920.04, "word": " DX", "probability": 0.9716796875}, {"start": 2920.04, "end": 2921.56, "word": " يساوي", "probability": 0.9637451171875}, {"start": 2921.56, "end": 2922.86, "word": " بمسك", "probability": 0.7955322265625}, {"start": 2922.86, "end": 2923.16, "word": " هذا", "probability": 0.5068359375}, {"start": 2923.16, "end": 2923.84, "word": " بنزله", "probability": 0.85400390625}, {"start": 2923.84, "end": 2924.18, "word": " هنا", "probability": 0.98583984375}, {"start": 2924.18, "end": 2924.62, "word": " زي", "probability": 0.9794921875}, {"start": 2924.62, "end": 2924.82, "word": " ما", "probability": 0.8203125}, {"start": 2924.82, "end": 2924.98, "word": " هو", "probability": 0.994140625}], "temperature": 1.0}, {"id": 129, "seek": 295475, "start": 2926.41, "end": 2954.75, "text": "أنا ما بديش اللي هو تلتاشر على تسعة بدي التكامل إذا بضرب كله في جداش في تسعة على تلتاشر يبقى صار تكامل لل E أس اتنين X Cos تلت X DX يساوي تسعة على تلتاشر بيصير تلتة على تلتاشر E أس اتنين X Sin تلت X", "tokens": [10721, 8315, 19446, 4724, 16254, 8592, 13672, 1829, 31439, 6055, 1211, 2655, 33599, 2288, 15844, 6055, 3794, 27884, 4724, 16254, 16712, 4117, 10943, 1211, 11933, 15730, 4724, 11242, 25513, 28242, 3224, 8978, 10874, 3215, 33599, 8978, 6055, 3794, 27884, 15844, 6055, 1211, 2655, 33599, 2288, 7251, 3555, 4587, 7578, 20328, 9640, 6055, 4117, 10943, 1211, 24976, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 15855, 6055, 1211, 2655, 1783, 48817, 7251, 3794, 995, 45865, 6055, 3794, 27884, 15844, 6055, 1211, 2655, 33599, 2288, 4724, 1829, 9381, 13546, 6055, 1211, 2655, 3660, 15844, 6055, 1211, 2655, 33599, 2288, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 11187, 6055, 1211, 2655, 1783], "avg_logprob": -0.23817567003739848, "compression_ratio": 1.9479768786127167, "no_speech_prob": 0.0, "words": [{"start": 2926.41, "end": 2926.69, "word": "أنا", "probability": 0.6949462890625}, {"start": 2926.69, "end": 2926.83, "word": " ما", "probability": 0.438232421875}, {"start": 2926.83, "end": 2927.35, "word": " بديش", "probability": 0.5709228515625}, {"start": 2927.35, "end": 2927.59, "word": " اللي", "probability": 0.579345703125}, {"start": 2927.59, "end": 2927.81, "word": " هو", "probability": 0.8828125}, {"start": 2927.81, "end": 2928.57, "word": " تلتاشر", "probability": 0.82568359375}, {"start": 2928.57, "end": 2928.71, "word": " على", "probability": 0.5927734375}, {"start": 2928.71, "end": 2929.13, "word": " تسعة", "probability": 0.9775390625}, {"start": 2929.13, "end": 2929.43, "word": " بدي", "probability": 0.64306640625}, {"start": 2929.43, "end": 2930.11, "word": " التكامل", "probability": 0.9635009765625}, {"start": 2930.11, "end": 2930.63, "word": " إذا", "probability": 0.60858154296875}, {"start": 2930.63, "end": 2931.05, "word": " بضرب", "probability": 0.7493489583333334}, {"start": 2931.05, "end": 2931.37, "word": " كله", "probability": 0.960693359375}, {"start": 2931.37, "end": 2931.49, "word": " في", "probability": 0.82958984375}, {"start": 2931.49, "end": 2932.07, "word": " جداش", "probability": 0.7594401041666666}, {"start": 2932.07, "end": 2932.69, "word": " في", "probability": 0.2032470703125}, {"start": 2932.69, "end": 2933.19, "word": " تسعة", "probability": 0.9786783854166666}, {"start": 2933.19, "end": 2933.59, "word": " على", "probability": 0.8251953125}, {"start": 2933.59, "end": 2934.61, "word": " تلتاشر", "probability": 0.988671875}, {"start": 2934.61, "end": 2935.51, "word": " يبقى", "probability": 0.95947265625}, {"start": 2935.51, "end": 2935.93, "word": " صار", "probability": 0.689453125}, {"start": 2935.93, "end": 2936.85, "word": " تكامل", "probability": 0.97412109375}, {"start": 2936.85, "end": 2937.45, "word": " لل", "probability": 0.80419921875}, {"start": 2937.45, "end": 2937.87, "word": " E", "probability": 0.1474609375}, {"start": 2937.87, "end": 2938.49, "word": " أس", "probability": 0.5184326171875}, {"start": 2938.49, "end": 2939.13, "word": " اتنين", "probability": 0.916259765625}, {"start": 2939.13, "end": 2939.63, "word": " X", "probability": 0.93701171875}, {"start": 2939.63, "end": 2940.29, "word": " Cos", "probability": 0.345947265625}, {"start": 2940.29, "end": 2941.29, "word": " تلت", "probability": 0.8043619791666666}, {"start": 2941.29, "end": 2941.75, "word": " X", "probability": 0.38671875}, {"start": 2941.75, "end": 2942.57, "word": " DX", "probability": 0.76416015625}, {"start": 2942.57, "end": 2944.17, "word": " يساوي", "probability": 0.916748046875}, {"start": 2944.17, "end": 2945.13, "word": " تسعة", "probability": 0.9541015625}, {"start": 2945.13, "end": 2945.35, "word": " على", "probability": 0.89599609375}, {"start": 2945.35, "end": 2946.23, "word": " تلتاشر", "probability": 0.977734375}, {"start": 2946.23, "end": 2946.97, "word": " بيصير", "probability": 0.8031005859375}, {"start": 2946.97, "end": 2947.99, "word": " تلتة", "probability": 0.88671875}, {"start": 2947.99, "end": 2948.95, "word": " على", "probability": 0.85791015625}, {"start": 2948.95, "end": 2950.77, "word": " تلتاشر", "probability": 0.91943359375}, {"start": 2950.77, "end": 2951.43, "word": " E", "probability": 0.9697265625}, {"start": 2951.43, "end": 2951.77, "word": " أس", "probability": 0.89697265625}, {"start": 2951.77, "end": 2952.43, "word": " اتنين", "probability": 0.9766845703125}, {"start": 2952.43, "end": 2952.93, "word": " X", "probability": 0.99560546875}, {"start": 2952.93, "end": 2953.83, "word": " Sin", "probability": 0.763671875}, {"start": 2953.83, "end": 2954.43, "word": " تلت", "probability": 0.9860026041666666}, {"start": 2954.43, "end": 2954.75, "word": " X", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 130, "seek": 297450, "start": 2955.32, "end": 2974.5, "text": "تسعة بصير اتنين على تلتاشر يبقى زائد اتنين على تلتاشر اقصى اتنين اكس قصاين تلت اكس و بروح بضيف زايد اش زائد constant good exercise لك كمان", "tokens": [2655, 3794, 27884, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 33599, 2288, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 2655, 33599, 2288, 1975, 4587, 9381, 7578, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 12174, 9381, 995, 9957, 6055, 1211, 2655, 1975, 4117, 3794, 4032, 4724, 32887, 5016, 4724, 11242, 33911, 30767, 995, 25708, 1975, 8592, 30767, 16373, 3215, 5754, 665, 5380, 5296, 4117, 9122, 2304, 7649], "avg_logprob": -0.25540864773285693, "compression_ratio": 1.5972222222222223, "no_speech_prob": 2.086162567138672e-06, "words": [{"start": 2955.32, "end": 2955.9, "word": "تسعة", "probability": 0.5845133463541666}, {"start": 2955.9, "end": 2956.32, "word": " بصير", "probability": 0.6490885416666666}, {"start": 2956.32, "end": 2956.7, "word": " اتنين", "probability": 0.95068359375}, {"start": 2956.7, "end": 2956.96, "word": " على", "probability": 0.72900390625}, {"start": 2956.96, "end": 2957.98, "word": " تلتاشر", "probability": 0.83916015625}, {"start": 2957.98, "end": 2958.78, "word": " يبقى", "probability": 0.8966064453125}, {"start": 2958.78, "end": 2959.5, "word": " زائد", "probability": 0.794189453125}, {"start": 2959.5, "end": 2960.8, "word": " اتنين", "probability": 0.97021484375}, {"start": 2960.8, "end": 2961.5, "word": " على", "probability": 0.9013671875}, {"start": 2961.5, "end": 2962.9, "word": " تلتاشر", "probability": 0.99248046875}, {"start": 2962.9, "end": 2964.12, "word": " اقصى", "probability": 0.59912109375}, {"start": 2964.12, "end": 2964.82, "word": " اتنين", "probability": 0.9571533203125}, {"start": 2964.82, "end": 2965.32, "word": " اكس", "probability": 0.7672526041666666}, {"start": 2965.32, "end": 2966.36, "word": " قصاين", "probability": 0.7802734375}, {"start": 2966.36, "end": 2966.92, "word": " تلت", "probability": 0.85791015625}, {"start": 2966.92, "end": 2967.4, "word": " اكس", "probability": 0.95166015625}, {"start": 2967.4, "end": 2967.82, "word": " و", "probability": 0.58203125}, {"start": 2967.82, "end": 2968.24, "word": " بروح", "probability": 0.74853515625}, {"start": 2968.24, "end": 2968.6, "word": " بضيف", "probability": 0.794921875}, {"start": 2968.6, "end": 2969.0, "word": " زايد", "probability": 0.7252604166666666}, {"start": 2969.0, "end": 2969.42, "word": " اش", "probability": 0.6689453125}, {"start": 2969.42, "end": 2970.72, "word": " زائد", "probability": 0.92333984375}, {"start": 2970.72, "end": 2971.4, "word": " constant", "probability": 0.646484375}, {"start": 2971.4, "end": 2972.72, "word": " good", "probability": 0.228759765625}, {"start": 2972.72, "end": 2973.5, "word": " exercise", "probability": 0.89794921875}, {"start": 2973.5, "end": 2973.92, "word": " لك", "probability": 0.816162109375}, {"start": 2973.92, "end": 2974.5, "word": " كمان", "probability": 0.9879557291666666}], "temperature": 1.0}, {"id": 131, "seek": 300610, "start": 2992.18, "end": 3006.1, "text": "تكامل كوساين لن ال X DX يبقى حط لي ثيتا تساوي لن ال X E أس ثيتا يساوي X", "tokens": [2655, 4117, 10943, 1211, 9122, 2407, 3794, 995, 9957, 5296, 1863, 2423, 1783, 48817, 7251, 3555, 4587, 7578, 11331, 9566, 32239, 38637, 36081, 995, 6055, 3794, 995, 45865, 5296, 1863, 2423, 1783, 462, 5551, 3794, 38637, 36081, 995, 7251, 3794, 995, 45865, 1783], "avg_logprob": -0.39133522456342523, "compression_ratio": 1.4047619047619047, "no_speech_prob": 0.0, "words": [{"start": 2992.1800000000003, "end": 2993.42, "word": "تكامل", "probability": 0.63775634765625}, {"start": 2993.42, "end": 2994.66, "word": " كوساين", "probability": 0.5111083984375}, {"start": 2994.66, "end": 2995.64, "word": " لن", "probability": 0.852294921875}, {"start": 2995.64, "end": 2995.98, "word": " ال", "probability": 0.39990234375}, {"start": 2995.98, "end": 2996.54, "word": " X", "probability": 0.51904296875}, {"start": 2996.54, "end": 2997.28, "word": " DX", "probability": 0.58447265625}, {"start": 2997.28, "end": 2999.42, "word": " يبقى", "probability": 0.8275146484375}, {"start": 2999.42, "end": 2999.86, "word": " حط", "probability": 0.606201171875}, {"start": 2999.86, "end": 3000.1, "word": " لي", "probability": 0.58642578125}, {"start": 3000.1, "end": 3000.92, "word": " ثيتا", "probability": 0.6800944010416666}, {"start": 3000.92, "end": 3001.74, "word": " تساوي", "probability": 0.8702392578125}, {"start": 3001.74, "end": 3002.26, "word": " لن", "probability": 0.9833984375}, {"start": 3002.26, "end": 3002.5, "word": " ال", "probability": 0.67333984375}, {"start": 3002.5, "end": 3002.92, "word": " X", "probability": 0.978515625}, {"start": 3002.92, "end": 3003.88, "word": " E", "probability": 0.47021484375}, {"start": 3003.88, "end": 3004.24, "word": " أس", "probability": 0.479248046875}, {"start": 3004.24, "end": 3004.68, "word": " ثيتا", "probability": 0.9309895833333334}, {"start": 3004.68, "end": 3005.48, "word": " يساوي", "probability": 0.981689453125}, {"start": 3005.48, "end": 3006.1, "word": " X", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 132, "seek": 302274, "start": 3007.2, "end": 3022.74, "text": "يبقى E أس ثيتا D ثيتا يبدو سوى من DX يبقى صار التكامل cosine ثيتا E أس ثيتا D ثيتا يبقى صاف زي السؤال اللي قبله ولا لا؟", "tokens": [1829, 3555, 4587, 7578, 462, 5551, 3794, 38637, 36081, 995, 413, 38637, 36081, 995, 7251, 44510, 2407, 8608, 2407, 7578, 9154, 48817, 7251, 3555, 4587, 7578, 20328, 9640, 16712, 4117, 10943, 1211, 23565, 38637, 36081, 995, 462, 5551, 3794, 38637, 36081, 995, 413, 38637, 36081, 995, 7251, 3555, 4587, 7578, 20328, 31845, 30767, 1829, 21136, 33604, 6027, 13672, 1829, 12174, 36150, 3224, 49429, 20193, 22807], "avg_logprob": -0.26680870263865497, "compression_ratio": 1.5546875, "no_speech_prob": 0.0, "words": [{"start": 3007.2, "end": 3008.08, "word": "يبقى", "probability": 0.9014892578125}, {"start": 3008.08, "end": 3008.42, "word": " E", "probability": 0.7470703125}, {"start": 3008.42, "end": 3008.76, "word": " أس", "probability": 0.4254150390625}, {"start": 3008.76, "end": 3009.32, "word": " ثيتا", "probability": 0.6969401041666666}, {"start": 3009.32, "end": 3009.54, "word": " D", "probability": 0.837890625}, {"start": 3009.54, "end": 3010.12, "word": " ثيتا", "probability": 0.8902994791666666}, {"start": 3010.12, "end": 3010.5, "word": " يبدو", "probability": 0.4031575520833333}, {"start": 3010.5, "end": 3010.88, "word": " سوى", "probability": 0.5311686197916666}, {"start": 3010.88, "end": 3011.3, "word": " من", "probability": 0.76953125}, {"start": 3011.3, "end": 3012.78, "word": " DX", "probability": 0.5771484375}, {"start": 3012.78, "end": 3013.84, "word": " يبقى", "probability": 0.9229736328125}, {"start": 3013.84, "end": 3014.18, "word": " صار", "probability": 0.6036376953125}, {"start": 3014.18, "end": 3015.12, "word": " التكامل", "probability": 0.859130859375}, {"start": 3015.12, "end": 3015.58, "word": " cosine", "probability": 0.289794921875}, {"start": 3015.58, "end": 3016.86, "word": " ثيتا", "probability": 0.8185221354166666}, {"start": 3016.86, "end": 3017.54, "word": " E", "probability": 0.98046875}, {"start": 3017.54, "end": 3017.96, "word": " أس", "probability": 0.9697265625}, {"start": 3017.96, "end": 3018.76, "word": " ثيتا", "probability": 0.955078125}, {"start": 3018.76, "end": 3019.32, "word": " D", "probability": 0.9755859375}, {"start": 3019.32, "end": 3020.14, "word": " ثيتا", "probability": 0.91748046875}, {"start": 3020.14, "end": 3020.74, "word": " يبقى", "probability": 0.9427490234375}, {"start": 3020.74, "end": 3020.94, "word": " صاف", "probability": 0.72705078125}, {"start": 3020.94, "end": 3021.12, "word": " زي", "probability": 0.864990234375}, {"start": 3021.12, "end": 3021.42, "word": " السؤال", "probability": 0.966796875}, {"start": 3021.42, "end": 3021.56, "word": " اللي", "probability": 0.863525390625}, {"start": 3021.56, "end": 3021.92, "word": " قبله", "probability": 0.9430338541666666}, {"start": 3021.92, "end": 3022.06, "word": " ولا", "probability": 0.787109375}, {"start": 3022.06, "end": 3022.74, "word": " لا؟", "probability": 0.65185546875}], "temperature": 1.0}, {"id": 133, "seek": 304784, "start": 3023.32, "end": 3047.84, "text": "يبقى هذا as example 7 يبقى هذا زيه بالضبط تماما وهذا زي سكت كايب يعني بعد ما وصلنا بعد تكملين طلع رأس المسألة نجلناها على الشجرة الثانية نكتفي بهذا القدر و بنكمل ان شاء الله المحاضرة القادمة", "tokens": [1829, 3555, 4587, 7578, 23758, 382, 1365, 1614, 7251, 3555, 4587, 7578, 23758, 30767, 1829, 3224, 20666, 11242, 3555, 9566, 46811, 10943, 995, 37037, 15730, 30767, 1829, 8608, 4117, 2655, 9122, 47302, 3555, 37495, 22653, 39182, 19446, 4032, 36520, 8315, 39182, 6055, 24793, 1211, 9957, 23032, 1211, 3615, 12602, 10721, 3794, 9673, 3794, 10721, 37977, 8717, 7435, 1211, 8315, 11296, 15844, 25124, 7435, 25720, 6024, 104, 7649, 10632, 8717, 4117, 2655, 41185, 39627, 15730, 25062, 3215, 2288, 4032, 44945, 24793, 1211, 16472, 13412, 16606, 21984, 9673, 5016, 46958, 25720, 25062, 18513, 46007], "avg_logprob": -0.1481854909209795, "compression_ratio": 1.678391959798995, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3023.32, "end": 3024.24, "word": "يبقى", "probability": 0.93701171875}, {"start": 3024.24, "end": 3024.84, "word": " هذا", "probability": 0.9169921875}, {"start": 3024.84, "end": 3026.12, "word": " as", "probability": 0.418701171875}, {"start": 3026.12, "end": 3027.5, "word": " example", "probability": 0.91845703125}, {"start": 3027.5, "end": 3028.26, "word": " 7", "probability": 0.82421875}, {"start": 3028.26, "end": 3029.34, "word": " يبقى", "probability": 0.85894775390625}, {"start": 3029.34, "end": 3029.62, "word": " هذا", "probability": 0.96142578125}, {"start": 3029.62, "end": 3029.98, "word": " زيه", "probability": 0.82958984375}, {"start": 3029.98, "end": 3030.5, "word": " بالضبط", "probability": 0.9425048828125}, {"start": 3030.5, "end": 3031.12, "word": " تماما", "probability": 0.9832356770833334}, {"start": 3031.12, "end": 3032.14, "word": " وهذا", "probability": 0.6824951171875}, {"start": 3032.14, "end": 3032.54, "word": " زي", "probability": 0.984375}, {"start": 3032.54, "end": 3033.26, "word": " سكت", "probability": 0.47216796875}, {"start": 3033.26, "end": 3033.86, "word": " كايب", "probability": 0.6697591145833334}, {"start": 3033.86, "end": 3034.72, "word": " يعني", "probability": 0.805419921875}, {"start": 3034.72, "end": 3035.12, "word": " بعد", "probability": 0.94384765625}, {"start": 3035.12, "end": 3035.28, "word": " ما", "probability": 0.91943359375}, {"start": 3035.28, "end": 3035.8, "word": " وصلنا", "probability": 0.9783528645833334}, {"start": 3035.8, "end": 3036.08, "word": " بعد", "probability": 0.70654296875}, {"start": 3036.08, "end": 3036.94, "word": " تكملين", "probability": 0.871337890625}, {"start": 3036.94, "end": 3037.68, "word": " طلع", "probability": 0.93505859375}, {"start": 3037.68, "end": 3038.0, "word": " رأس", "probability": 0.9212239583333334}, {"start": 3038.0, "end": 3038.72, "word": " المسألة", "probability": 0.977783203125}, {"start": 3038.72, "end": 3039.66, "word": " نجلناها", "probability": 0.9220703125}, {"start": 3039.66, "end": 3039.82, "word": " على", "probability": 0.87548828125}, {"start": 3039.82, "end": 3040.52, "word": " الشجرة", "probability": 0.8370768229166666}, {"start": 3040.52, "end": 3041.44, "word": " الثانية", "probability": 0.9736328125}, {"start": 3041.44, "end": 3042.7, "word": " نكتفي", "probability": 0.9234619140625}, {"start": 3042.7, "end": 3043.2, "word": " بهذا", "probability": 0.962890625}, {"start": 3043.2, "end": 3043.86, "word": " القدر", "probability": 0.9967447916666666}, {"start": 3043.86, "end": 3044.3, "word": " و", "probability": 0.6259765625}, {"start": 3044.3, "end": 3044.88, "word": " بنكمل", "probability": 0.86865234375}, {"start": 3044.88, "end": 3045.08, "word": " ان", "probability": 0.72412109375}, {"start": 3045.08, "end": 3045.44, "word": " شاء", "probability": 0.981201171875}, {"start": 3045.44, "end": 3045.76, "word": " الله", "probability": 0.95947265625}, {"start": 3045.76, "end": 3047.0, "word": " المحاضرة", "probability": 0.9552001953125}, {"start": 3047.0, "end": 3047.84, "word": " القادمة", "probability": 0.99365234375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3048.7335, "duration_after_vad": 2928.8990937499916}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/ggwbpWNVlPY.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/ggwbpWNVlPY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c2bf5c025ec7f79ce6a2fa5ecd030399e483c079
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/ggwbpWNVlPY.srt
@@ -0,0 +1,1671 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,610 --> 00:00:15,350
+بسم الله الرحمن الرحيم، المرة الماضية أخذنا أول
+
+3
+00:00:15,350 --> 00:00:19,470
+section  الذي هو الـ parametric equations وشفنا كيف
+
+4
+00:00:19,470 --> 00:00:24,550
+بنحول من فوق من parametric equations إلى cartesian
+
+5
+00:00:24,550 --> 00:00:29,290
+equation  و بنرسم و بنبين اتجاه الحركة، اليوم بدنا 
+
+6
+00:00:29,290 --> 00:00:31,950
+نيجي للـ calculus  الذي هو تبع الـ parametric
+
+7
+00:00:31,950 --> 00:00:36,070
+equations  يبقى حساب التفاضل والتكامل لمين؟ للـ
+
+8
+00:00:36,070 --> 00:00:41,820
+parametric equations  اللي عندنا تمام؟ يبقى بدنا
+
+9
+00:00:41,820 --> 00:00:47,060
+نيجي لأول نقطة اللي هي tangents and area  يبقى بدنا
+
+10
+00:00:47,060 --> 00:00:52,000
+المماس لمنحنى موطّن في الصيغة البارامترية وكذلك
+
+11
+00:00:52,000 --> 00:00:57,260
+مساحة المنطقة لمنحنى موطّن في الصيغة البارامترية
+
+12
+00:00:57,260 --> 00:01:01,540
+كيف بدنا نحسب الشغلات هذه؟ خلينا مع النقطة الأولى
+
+13
+00:01:01,540 --> 00:01:05,200
+لو رجعنا إلى الـ calculus  أيه، و بجينا بدنا نجيب المماس
+
+14
+00:01:05,200 --> 00:01:09,920
+للمنحنى يبقى بلزمني مشان أجيب معادلة المماس شغلتين
+
+15
+00:01:10,770 --> 00:01:15,710
+الشغلة الأولى بدي نقطة تقع على هذا المنحنى الذي
+
+16
+00:01:15,710 --> 00:01:20,530
+يُسمّى نقطة التماس ما بين الخط المستقيم والمنحنى
+
+17
+00:01:20,530 --> 00:01:24,770
+النقطة الثانية: ميل المنحنى عند هذه النقطة، الذي هو
+
+18
+00:01:24,770 --> 00:01:30,350
+ميل المماس للمنحنى عند تلك النقطة، يبقى مشان أجيب
+
+19
+00:01:30,350 --> 00:01:35,010
+معادلة مماس بدي نقطة أقع عليه وكذلك ميله، بنجيب
+
+20
+00:01:35,010 --> 00:01:40,390
+معادلته، إذا باجي بقول لو كانت الـ X موطّنة as a
+
+21
+00:01:40,390 --> 00:01:45,630
+function of T والـ Y as a function of T والـ  T  هي
+
+22
+00:01:45,630 --> 00:01:50,450
+اثنين، F of T و G of T دالتان قابلتان للاشتقاق في T، then 
+
+23
+00:01:50,450 --> 00:01:57,810
+بدنا لسلوب تبع هذا المنحنى، لسلوب الذي هو عبارة عن
+
+24
+00:01:57,810 --> 00:01:58,590
+مين؟
+
+25
+00:02:02,120 --> 00:02:08,400
+لكن لما كانت كله من X و Y دالتان في T، يبقى هذه بقدر
+
+26
+00:02:08,400 --> 00:02:16,320
+أكتب على الشكل التالي: Dy على Dt في Dt على Dx
+
+27
+00:02:16,320 --> 00:02:25,240
+وان شئتم أن نكتب هذا في شكل آخر، بقول دي وي على دي تي
+
+28
+00:02:25,240 --> 00:02:32,420
+مقسوما على دي اكس على دي تي، بس بشرط أن دي اكس على
+
+29
+00:02:32,420 --> 00:02:38,700
+دي تي ممنوع يساوي صفر، مهم ممنوع يساوي صفر، أليس هذا هو
+
+30
+00:02:38,700 --> 00:02:44,170
+الذي كنا في الـ calculus أيه إن دي للرمز y prime؟ إذا
+
+31
+00:02:44,170 --> 00:02:50,770
+أصبح عندي y prime هي dy على dx هي الـ slope تبع
+
+32
+00:02:50,770 --> 00:02:56,050
+الخط المستقيم أو الـ slope تبع الـ tangent y عندنا، واللي هو
+
+33
+00:02:56,050 --> 00:03:01,710
+الذي هو dy على dx أو dy على dt في d t على dx، كتبت أيه؟ ليش؟ أن الـ t parameter 
+
+34
+00:03:01,710 --> 00:03:05,510
+دخل في النص ما بين الـ
+
+35
+00:03:05,510 --> 00:03:06,090
+x و الـ y
+
+36
+00:03:13,360 --> 00:03:23,760
+بتصير DX على DT هدد للمشتقة XS لDY على DX
+
+37
+00:03:40,350 --> 00:03:46,170
+بنفس الطريقة التي كتبت فيها dy على dx بدلالة T، بدي
+
+38
+00:03:46,170 --> 00:03:52,330
+أكتب هذه المشتقة كذلك بدلالة T، يعني هذه كإنهاش D
+
+39
+00:03:52,330 --> 00:04:05,030
+على DT للـ Y' في DT على DX، أين شئتم فقولوا الـ D²Y
+
+40
+00:04:05,030 --> 00:04:16,330
+على DX² يساوي D على DT للـ Y' مقسوما على الـ DX على
+
+41
+00:04:16,330 --> 00:04:22,940
+DT، وبشرط أن الـ DX على دي تي دوز مات equal to zero
+
+42
+00:04:22,940 --> 00:04:27,540
+يبقى هي مش جبنا المشتقة الأولى واسلوبه بس، روحنا
+
+43
+00:04:27,540 --> 00:04:33,280
+نجيبنا منها المشتقة الثانية، يبقى يجب أن نأخذ بعض
+
+44
+00:04:33,280 --> 00:04:39,020
+الأمثلة على الكلام اللي قلناه هذا، بنجي لأول مثال
+
+45
+00:04:39,020 --> 00:04:40,840
+يبقى example one
+
+46
+00:04:44,890 --> 00:04:54,090
+أول مثال بيقول find an
+
+47
+00:04:54,090 --> 00:05:00,310
+equation for the
+
+48
+00:05:00,310 --> 00:05:08,310
+line tangent
+
+49
+00:05:15,300 --> 00:05:24,640
+للمنحنى with parametric equations with parametric
+
+50
+00:05:24,640 --> 00:05:36,160
+equations  والمعطى فيه واحد، واي تساوي T على T ناقص
+
+51
+00:05:36,160 --> 00:05:43,430
+واحد، at T تساوي اثنين، هذا المطلوب الأول، المطلوب
+
+52
+00:05:43,430 --> 00:05:54,330
+الثاني also وكذلك find وجد d square y على dx
+
+53
+00:05:54,330 --> 00:06:02,910
+square at this point، يبقى
+
+54
+00:06:02,910 --> 00:06:09,470
+عند هذه النقطة، solution
+
+55
+00:06:14,270 --> 00:06:19,390
+بنرجع للسؤال مرة ثانية، السؤال يقول هات لي معادلة الخط
+
+56
+00:06:19,390 --> 00:06:24,110
+الذي يكون مماسًا للمنحنى الموطّن في الصيغة
+
+57
+00:06:24,110 --> 00:06:29,190
+البارامترية التالية: X يساوي واحد على T زائد واحد، و
+
+58
+00:06:29,190 --> 00:06:35,150
+Y تساوي T على T ناقص واحد، عند T تساوي اثنين، وكذلك
+
+59
+00:06:35,150 --> 00:06:38,770
+هات للمشتقة الثانية عند نفس النقطة التي هي تساوي
+
+60
+00:06:38,770 --> 00:06:44,410
+قداش؟ T تساوي اثنين، يبقى عشان أجيب معادلة الـ tangent
+
+61
+00:06:44,410 --> 00:06:49,810
+line، بالزمني النقطة واقع عليه و بالزمني كذلك من الـ
+
+62
+00:06:49,810 --> 00:06:57,160
+ميل  تبعه، يبقى باجي بقوله at T تساوي اثنين، بتجيب
+
+63
+00:06:57,160 --> 00:07:03,180
+إحداثي النقطة x و y، قداش بتكون؟ إذا هشيل في الـ x والـ
+
+64
+00:07:03,180 --> 00:07:08,480
+y كل T وأحط مكانها اثنين، يبقى بيصير واحد على
+
+65
+00:07:08,480 --> 00:07:13,860
+اثنين plus one، وهاد اثنين على اثنين minus الـ one
+
+66
+00:07:13,860 --> 00:07:20,280
+يبقى أصبحت النقطة هي عبارة عن ثلث، وقداش؟ ثلث واثنين، 
+
+67
+00:07:20,280 --> 00:07:26,430
+يبقى هذه إحداثيات النقطة اللي عندنا اللي بدنا
+
+68
+00:07:26,430 --> 00:07:31,470
+نجيب معادلة المماس عند هذه النقطة، هذا الأمر الأول،
+
+69
+00:07:31,470 --> 00:07:36,930
+الأمر الثاني بدي الميل، يبقى الميل تبع المنحنى
+
+70
+00:07:36,930 --> 00:07:44,350
+الذي هو بده يساوي dy على dt على dx على dy، يساوي
+
+71
+00:07:44,350 --> 00:07:49,570
+نيجي dy على dy، هي الـ Y يبقى بلا نشتق هذه، مشتقة
+
+72
+00:07:49,570 --> 00:07:55,150
+خارج قسمة، يبقى المقام في مشتقة البسط اللي هي
+
+73
+00:07:55,150 --> 00:08:00,290
+بواحد، ناقص البسط في مشتقة المقام اللي هي بواحد
+
+74
+00:08:00,290 --> 00:08:08,350
+كذلك على مربع المقام الأصلي، هذا كله مين؟ dy على dt
+
+75
+00:08:08,350 --> 00:08:15,030
+ضايل علينا مين؟ dx على dt، مشتقة هذه زي مشتقة واحد
+
+76
+00:08:15,030 --> 00:08:19,280
+على t، أشتقنا واحد على ت بصالب واحد على ت تربيع، يبقى
+
+77
+00:08:19,280 --> 00:08:27,080
+هذه سالب واحد على T زائد واحد لكل تربيع، نعيد
+
+78
+00:08:27,080 --> 00:08:32,780
+صياغتها، يبقى تساوي سالب T موجب T مع السلامة، يبقى
+
+79
+00:08:32,780 --> 00:08:39,400
+هذه بتصير سالب واحد على T ناقص واحد لكل تربيع، هذه
+
+80
+00:08:39,400 --> 00:08:46,040
+نضربها بتطلع فوق بصير سالب T زائد واحد الذي هو
+
+81
+00:08:46,040 --> 00:08:51,520
+تربيع بالشكل لأن هذا، يبقى صارت النتيجة T زائد واحد
+
+82
+00:08:51,520 --> 00:08:58,160
+لكل تربيع على T ناقص واحد لكل تربيع، يبقى هذا
+
+83
+00:08:58,160 --> 00:09:02,320
+الميل تبقى المنهج بد الميل عند T تساوي اثنين،
+
+84
+00:09:02,320 --> 00:09:10,480
+فبجي بقوله الميل عند الـ T تساوي اثنين يساوي اثنين
+
+85
+00:09:10,480 --> 00:09:15,420
+زائد واحد لكل تربيع، اثنين ناقص واحد لكل تربيع، يساوي
+
+86
+00:09:15,420 --> 00:09:25,330
+تسعة، إذا أصبحت النقطة والمنحنى موجودين،
+
+87
+00:09:25,330 --> 00:09:30,230
+بقدر أجيب معادلة المماس، يبقى باجي بقوله the
+
+88
+00:09:30,230 --> 00:09:39,300
+equation of the tangent is، بقيت أقول في كل خلاصة
+
+89
+00:09:39,300 --> 00:09:46,700
+معادلة المنحنى هي Y يساوي للميل في X ناقص الـ X
+
+90
+00:09:46,700 --> 00:09:51,860
+node زائد Y node، مش هذي كانت معادلة الخط المستقيم
+
+91
+00:09:51,860 --> 00:09:57,360
+إنها أو Y على Y node ناقص على X ناقص الـ X node بده
+
+92
+00:09:57,360 --> 00:10:01,620
+يساوي الميل الذي هو M الذي هو الميل، يبقى بنعوض عليه
+
+93
+00:10:01,620 --> 00:10:08,040
+Y، حد ساوينجي لهنا، الميل طلعناه جباش له تسعة،
+
+94
+00:10:09,000 --> 00:10:14,680
+وهنا X ناقص X node التي هي بثلث، والـ Y node عبارة
+
+95
+00:10:14,680 --> 00:10:23,340
+عن قداش؟ اثنين، هذا معناه أن Y تساوي تسعة X ناقص
+
+96
+00:10:23,340 --> 00:10:30,020
+ثلاثة زائد اثنين، يبقى معادلة المماس المطلوبة Y
+
+97
+00:10:30,020 --> 00:10:35,840
+تساوي تسعة X ناقص واحد، هذه الـ equation of the
+
+98
+00:10:35,840 --> 00:10:40,250
+tangent، حتى الآن انتهينا من المطلوب الأول، يبقى
+
+99
+00:10:40,250 --> 00:10:47,090
+حسبنا له معادلة المماس لما T تساوي 2، وبالتالي حدث
+
+100
+00:10:47,090 --> 00:10:51,870
+هذا لما كان الإحداثيات الكارتيزية للـ X والـ Y هي
+
+101
+00:10:51,870 --> 00:10:57,130
+عبارة عن ثلث ومين؟ واثنين، الآن بنروح نجيب المشتقة
+
+102
+00:10:57,130 --> 00:11:03,610
+الثانية عند من؟ عند T تساوي ميم، المشتقة الثانية
+
+103
+00:11:03,610 --> 00:11:09,370
+هي هاي الصيغة الموجودة عندنا: D²Y على DX²، يبقى هي
+
+104
+00:11:09,370 --> 00:11:16,110
+عبارة عن D على DT للـ Y' على DX على DT لميم، للوات
+
+105
+00:11:16,130 --> 00:11:28,690
+إذا بقوله الآن: D²Y على DX² هي عبارة عن D على DT
+
+106
+00:11:28,690 --> 00:11:38,710
+لمين؟ للـ Y' مقسمة على DX على DT، هذا بده يعطينا ما
+
+107
+00:11:38,710 --> 00:11:48,320
+يأتي، D²Y على DX² يساوي، بدنا نيجي على الـ Y'، وين الـ
+
+108
+00:11:48,320 --> 00:11:55,600
+Y'؟ هي، امشي امشي، هي، يبقى بدي اشتق من، بدي اشتق هذا
+
+109
+00:11:55,600 --> 00:12:00,720
+الذي هو مشتقة خارج قسمة الدالتين، يبقى باجي بقوله
+
+110
+00:12:00,720 --> 00:12:08,470
+المقام في مشتقة البسط T زائد واحد في مشتقة مداخل
+
+111
+00:12:08,470 --> 00:12:15,190
+القوس الذي هو بواحد، ناقص البسط الذي هو من T زائد
+
+112
+00:12:15,190 --> 00:12:21,510
+واحد لكل تربيع في مشتقة المقام، اثنين في T ناقص
+
+113
+00:12:21,510 --> 00:12:27,910
+واحد على مربع المقام الأصلي الذي هو T ناقص واحد أس
+
+114
+00:12:27,910 --> 00:12:34,200
+أربعة، اللي كتبته هذا لسه مشتقة من البسط اللي أنا
+
+115
+00:12:34,200 --> 00:12:38,900
+ضايل مشتقة المقام، DX على DT هي مشتقة المقام
+
+116
+00:12:38,900 --> 00:12:46,680
+الأصلية مغيرناش يمكنها سالب واحد على T زائد واحد
+
+117
+00:12:46,680 --> 00:12:52,340
+لكل تربيع، يبقى نبسطها، شو رأيك؟ بنقدر نأخذ اثنين
+
+118
+00:12:52,340 --> 00:12:57,380
+عامل مشترك، وبنقدر نأخذ T ناقص واحد عامل مشترك،
+
+119
+00:12:57,380 --> 00:13:03,580
+وبنقدر نأخذ T زائد واحد عامل مشترك، بيظل لأن هنا بس
+
+120
+00:13:03,580 --> 00:13:08,900
+T ناقص واحد، وهنا بيظل T زائد واحد مسبقًا بإشارة
+
+121
+00:13:08,900 --> 00:13:16,890
+سالب، يبقى سالب T سالب واحد على المقام هذا T ناقص
+
+122
+00:13:16,890 --> 00:13:23,430
+واحد كله أربعة زي ما هو نزل تحت، وهذا main اللي هو
+
+123
+00:13:23,430 --> 00:13:30,310
+سالب واحد على T زائد واحد لكل تربيع، انبسط هذا
+
+124
+00:13:30,310 --> 00:13:35,590
+المقدار أكثر، يبقى اثنين في T ناقص واحد في T زائد
+
+125
+00:13:35,590 --> 00:13:42,780
+واحد، ناقص T وزائد T مع السلامة، يبقى لنا قداش؟ ناقص 
+
+126
+00:13:42,780 --> 00:13:48,460
+اتنين، مش هجدكوا بس، هذا الكلام على T ناقص واحد،
+
+127
+00:13:48,460 --> 00:13:56,820
+ده power four وهذه تطلع فوق بـ T زائد واحد لكل تربيع
+
+128
+00:13:56,820 --> 00:14:03,610
+بإشارة سالب، هذه السالب اللي عندنا طيب هذا الكلام
+
+129
+00:14:03,610 --> 00:14:10,970
+يستوي سالب مع سالب بيصير موجب اتنين في اتنين أربعة
+
+130
+00:14:10,970 --> 00:14:17,450
+اطلعله هنا بيصير إن هذا معلوم أربعة بيصير في
+
+131
+00:14:17,450 --> 00:14:23,590
+المقام T ناقص واحد لكل تكعيب بيظل إن T زائد واحد في
+
+132
+00:14:23,590 --> 00:14:31,360
+T زائد واحد تربيع يبقى T زائد واحد لكل تكعيب يبقى
+
+133
+00:14:31,360 --> 00:14:36,540
+هذا شكل المشتقة الثانية قل نحسب المشتقة الثانية
+
+134
+00:14:36,540 --> 00:14:47,420
+عند T تساوي اتنين يبقى هذا الكلام بيجي D²Y على DX²
+
+135
+00:14:47,420 --> 00:14:53,920
+لما T تساوي اتنين بده يساوي بدي أشيل كل T وأحط
+
+136
+00:14:53,920 --> 00:14:59,360
+مكانها اتنين يبقى أربعة في اتنين زائد واحد لكل
+
+137
+00:14:59,360 --> 00:15:05,100
+تكعيب على اتنين ناقص واحد لكل تكعيب ويساوي أظن
+
+138
+00:15:05,100 --> 00:15:10,680
+المقارنة بواحد صحيح نجي لـ بس اتنين زائد واحد تلاتة
+
+139
+00:15:10,680 --> 00:15:15,880
+تكعيب سبعة وعشرين سبعة وعشرين في أربعة له بمية و
+
+140
+00:15:15,880 --> 00:15:22,720
+ثمانية يبقى مقدار المشتقة الثانية عند هذه النقطة
+
+141
+00:15:22,720 --> 00:15:25,680
+اللي هو مية وثمانية
+
+142
+00:15:51,530 --> 00:16:00,230
+مثال اتنين بيقول
+
+143
+00:16:00,230 --> 00:16:09,690
+find the slope of the curve Find the slope of the 
+
+144
+00:16:09,690 --> 00:16:16,290
+curve للملحقة الموجهة في الصيغة البارامترية X تكعيب
+
+145
+00:16:16,290 --> 00:16:27,410
+زائد 2T تربيع بده يساوي 9 و 2Y تكعيب ناقص 3T تربيع
+
+146
+00:16:27,410 --> 00:16:36,330
+بده يساوي 4 وحط له اللي هو at T تساوي اتنين ايه
+
+147
+00:16:36,330 --> 00:16:40,590
+بيبقى عنده T تساوي اتنين كذلك؟ بقوله والله كويس
+
+148
+00:16:40,590 --> 00:16:46,810
+قال لي هات لي الميل تبع المنحنى بقول له كويس اه هذا
+
+149
+00:16:46,810 --> 00:16:50,770
+السؤال مش زي اللي جاب له مش محطوطة X كده اللي في T
+
+150
+00:16:50,770 --> 00:16:55,430
+وY ده اللي في T منفصل لذلك هذا الاشتقاق بقيت
+
+151
+00:16:55,430 --> 00:17:00,710
+أسميه في calculus  الـاشتقاق ضمنيًا implicit
+
+152
+00:17:00,710 --> 00:17:05,550
+differentiation يبقى هنا بنروح نشتق بالنسبة لـ T
+
+153
+00:17:05,550 --> 00:17:11,810
+اشتقاقًا ضمنيًا من يشتق لي بالنسبة لـ X كي يشتقال
+
+154
+00:17:11,810 --> 00:17:13,570
+اشتقاق ضمني؟
+
+155
+00:17:15,820 --> 00:17:21,720
+تلاتة X تربيع في DX على DT تمام تمام يبقى بدي
+
+156
+00:17:21,720 --> 00:17:28,640
+بقول له solution تمام بدي بقول له هاي تلاتة X تربيع
+
+157
+00:17:28,640 --> 00:17:36,620
+في DX على DT زائد أربعة T بده يساوي Zero تمام يبقى
+
+158
+00:17:36,620 --> 00:17:45,820
+من هذه بقدر أقول له إذا الـ DX على DT -4T على 3X تربيع
+
+159
+00:17:45,820 --> 00:17:52,760
+اختصارات ما عندهوش يبقى يخلّيها ما لها زي ما هي الآن
+
+160
+00:17:52,760 --> 00:17:56,720
+يجي المشتقة الثانية تبع الـ Y يبقى مشتقة بالنسبة لـ
+
+161
+00:17:56,720 --> 00:18:07,480
+T يبقى كده؟ 6Y تربيع في DY على DT نقص 6T يساوي 0
+
+162
+00:18:08,200 --> 00:18:19,000
+بناء عليه بقدر أقول يبقى dy على dt يساوي 6t على 6y
+
+163
+00:18:19,000 --> 00:18:25,960
+تربيع يعني t على مين على Y تربيع احنا بدنا الميل
+
+164
+00:18:25,960 --> 00:18:34,940
+الميل اللي عبارة عن dy على dx يبقى dy على dt على
+
+165
+00:18:34,940 --> 00:18:45,600
+dx على dtdy على dt اللي هي t على Y تربيع dx على dt
+
+166
+00:18:45,600 --> 00:18:54,920
+اللي هي سالب 4t على 3x تربيع اللي هي t على Y تربيع
+
+167
+00:18:54,920 --> 00:19:07,380
+هذه نجلبها بيصير سالب 3x تربيع على 4t بناء عليه صار
+
+168
+00:19:07,380 --> 00:19:14,240
+ليه slope عندنا بده يساوي T بتروح مع الـ T بيصير
+
+169
+00:19:14,240 --> 00:19:23,400
+عندي سالب تلت تربع اللي هو X تربيع على Y تربيع يبقى
+
+170
+00:19:23,400 --> 00:19:27,880
+نسلق طالع على جلال اتنين X و Y إذا إجباري
+
+171
+00:19:27,880 --> 00:19:34,200
+لازم أعرف قداش قيمة X و Y عند من عند T تساوي
+
+172
+00:19:34,200 --> 00:19:40,380
+اتنين اللي أعطاه لي باجي بقول له ماشي بط بدي أعرف
+
+173
+00:19:40,380 --> 00:19:45,600
+قداش X و Y عند T تساوي اتنين بقول يالا شيل كل
+
+174
+00:19:45,600 --> 00:19:49,020
+T وحط مكان اتنين وشوف قداش بتعطيك X وقداش
+
+175
+00:19:49,020 --> 00:19:50,240
+بتعطيك Y
+
+176
+00:20:00,840 --> 00:20:12,160
+تساوي اتنين اتنين
+
+177
+00:20:12,160 --> 00:20:19,770
+اتنين في اتنين تربيع يساوي تسعة يبقى الـ X تكعيب
+
+178
+00:20:19,770 --> 00:20:24,390
+يساوي أربعة في اتنين تمانية ضيف سالف تمانية
+
+179
+00:20:24,390 --> 00:20:30,170
+للطرفين بيصير الـ X تكعيب بواحد الحل الحقيقي الوحيد
+
+180
+00:20:30,170 --> 00:20:35,150
+لها هو X يساوي قداش واحد صحيح الحلّين اتنين
+
+181
+00:20:35,150 --> 00:20:41,950
+تخيليات خارج نطاق دراستنا الآن باجي بقول له at T
+
+182
+00:20:41,950 --> 00:20:49,760
+تساوي اتنين برضه we have تمام؟ يبقى we have. بدنا
+
+183
+00:20:49,760 --> 00:20:56,560
+نيجي على المعادلة الثانية 2Y تكعيب ناقص تلاتة
+
+184
+00:20:56,560 --> 00:21:03,520
+في اتنين تربيع يساوي أربعة يبقى 2Y تكعيب تساوي
+
+185
+00:21:03,520 --> 00:21:09,100
+أربعة في تلاتة 12 يبقى شجة ثانية بيصير 12
+
+186
+00:21:09,100 --> 00:21:14,960
+موجب مع أربعة يساوي 16 يبقى هذا بيقول Y تكعيب
+
+187
+00:21:14,960 --> 00:21:21,320
+تساوي 8 إذا Y تساوي قداش 2 معناته إن
+
+188
+00:21:21,320 --> 00:21:28,800
+النقطة XY هذا بيقول إن النقطة اللي بدنا نحسب الميل
+
+189
+00:21:28,800 --> 00:21:35,490
+عندها اللي الـ X والـ Y تساوي 1 و2 هذا بده
+
+190
+00:21:35,490 --> 00:21:41,150
+يعطيك الميل اللي هو طالبه عندما الـ T تساوي
+
+191
+00:21:41,150 --> 00:21:48,550
+2 يساوي هاي ناقص ثلاثة وهذه عندك واحد تربيع
+
+192
+00:21:48,550 --> 00:21:55,300
+على أربعة هذه دي
+
+193
+00:21:55,300 --> 00:22:00,300
+Y على دي إكس هذه دي اه بعد ما اختصرنا صارت هذه
+
+194
+00:22:00,300 --> 00:22:06,000
+يبقى هذه ناقص تلت تربع في واحد على اتنين تربيع
+
+195
+00:22:06,000 --> 00:22:13,820
+ويساوي ناقص ثلاثة على 16 مقدار ميل المماس
+
+196
+00:22:13,820 --> 00:22:20,790
+للمنحنى عند هذه النقطة يبقى هذين المثالين واحد على
+
+197
+00:22:20,790 --> 00:22:25,930
+الـ tangent والتاني على ميل الـ tangent فقط سؤال
+
+198
+00:22:25,930 --> 00:22:31,030
+الثالث أو المثال الثالث بيقول ما يتحقق find the
+
+199
+00:22:31,030 --> 00:22:41,450
+area find the area enclosed بدنا الفترة المغلقة by
+
+200
+00:22:41,450 --> 00:22:52,410
+the ellipse by the ellipse بالـ ellipse له من الـ X
+
+201
+00:22:52,410 --> 00:23:01,510
+بده يساوي A في Cos T والـ Y بده يساوي B في Sin T
+
+202
+00:23:01,510 --> 00:23:07,410
+والـ T هذه أكبر من أو يساوي Zero أقل من أو يساوي
+
+203
+00:23:07,410 --> 00:23:14,230
+اتنين باي والـ A أكبر من من؟ أكبر من الـ B
+
+204
+00:23:31,340 --> 00:23:34,400
+طبعًا النقطة الأولى في هذا الـ section كنا كاتبينها
+
+205
+00:23:34,400 --> 00:23:38,680
+tangents and areas يبقى أخذنا مثالين على الـ
+
+206
+00:23:38,680 --> 00:23:43,880
+tangents أخذ مثال على المساحة بقول هات لي مساحة
+
+207
+00:23:43,880 --> 00:23:48,800
+المنطقة المغلقة بالـ ellipse اللي معادلته الـ
+
+208
+00:23:48,800 --> 00:23:53,740
+بارامترية على الشكل X يساوي cosine t و Y يساوي B
+
+209
+00:23:53,740 --> 00:24:01,820
+sin t وT من 0 لـ 2 باي و A greater than B بقول له تعالى
+
+210
+00:24:01,820 --> 00:24:06,120
+نشوف الشكل هذا الـ ellipse لإن الـ ellipse يمكن أنه
+
+211
+00:24:06,120 --> 00:24:11,480
+يرتبط بالـ X axis يمكن بالـ Y axis يمكن معمل له دوران
+
+212
+00:24:11,480 --> 00:24:18,360
+الله أعلم إذا جئت للمعادلة هذه بقدر أقول X على A
+
+213
+00:24:18,360 --> 00:24:29,240
+يساوي Cos T وY على B يساوي Sin T لو ربعته و جمعته
+
+214
+00:24:29,240 --> 00:24:34,460
+يبقى ايش بيحصل لإنّه يبقى بيصير X تربيع على A تربيع
+
+215
+00:24:34,460 --> 00:24:40,400
+زائد Y تربيع على B تربيع بسبب كده واحد يبقى هذا
+
+216
+00:24:40,400 --> 00:24:45,570
+ellipse مظبوط الـ ellipse الـ major axis هو محور X
+
+217
+00:24:45,570 --> 00:24:51,910
+ولا محور Y؟ محور X لإنّه قال A أكبر من B يبقى لو
+
+218
+00:24:51,910 --> 00:24:56,610
+روحت رسمت هذا الـ ellipse هيكون عليه الشكل التالي
+
+219
+00:24:56,610 --> 00:25:02,190
+هذا محور X هذا Y هذه نقطة الأصل هذا الـ ellipse
+
+220
+00:25:02,190 --> 00:25:09,280
+لإنّه بهذا الشكل النقطة هذه الأحداث تبعها A و Zero
+
+221
+00:25:09,280 --> 00:25:17,160
+هذه سالب A و Zero هذه Zero و B النقطة المناظرة لها
+
+222
+00:25:17,160 --> 00:25:24,820
+Zero و سالب B طيب القلب زي ما أنت شايف يبقى هذا
+
+223
+00:25:24,820 --> 00:25:30,240
+نظرًا لإن X تربيع وY تربيع يبقى فيه تماثل بالنسبة
+
+224
+00:25:30,240 --> 00:25:35,520
+لمحور X وفيه تماثل بالنسبة لمحور Y للي اتنين
+
+225
+00:25:35,520 --> 00:25:42,700
+للمجسم هذا أو الـ area هذه متماثلة إذا نقل هاتل
+
+226
+00:25:42,700 --> 00:25:49,790
+المساحة دي بقول له بسيطة جدًّا لو أخدت أنا مقطع أو جزء
+
+227
+00:25:49,790 --> 00:25:55,090
+من هذا الـ Ellipse أو الجزء المظلل، ايش يمثل
+
+228
+00:25:55,090 --> 00:26:00,430
+بالنسبة للـ Ellipse؟ ربع، بسبب الـ Tomato، مظبوط؟
+
+229
+00:26:00,430 --> 00:26:05,210
+يبقى أنا لو جبت مساحة الجزء المظلل وضربته في
+
+230
+00:26:05,210 --> 00:26:09,110
+أربعة، بجيب مساحة مين؟ مساحة الـ Ellipse، إلا أنا
+
+231
+00:26:09,560 --> 00:26:13,240
+الكلام الكويس طب كيف بقى تجيب المساحة هذه؟ برجع
+
+232
+00:26:13,240 --> 00:26:18,400
+بقول له احنا في calculus ايه مدام عندك تكامل محدود
+
+233
+00:26:18,400 --> 00:26:23,960
+على دالة متصلة يبقى هذا بيعطيك اللي هو المساحة
+
+234
+00:26:23,960 --> 00:26:30,180
+تبعها أو المساحة المحصورة بين منحنى ومن ومحور X
+
+235
+00:26:30,450 --> 00:26:33,910
+بقول له و الله كويس، طب وين هي الدالة؟ بقول له
+
+236
+00:26:33,910 --> 00:26:39,590
+هايها، بس محطوطاش ضمني، طب بتقدر تخلي Y as a
+
+237
+00:26:39,590 --> 00:26:44,070
+function of X؟ بقول له اه بقدر، بقدر كيف؟ طلع لي
+
+238
+00:26:44,070 --> 00:26:50,610
+هيك، هذه بدأت يعطيك ما يأتي Y تربيع على B تربيع
+
+239
+00:26:50,610 --> 00:26:57,310
+يساوي واحد ناقص X تربيع على A تربيع أو هذه بقدر أقول
+
+240
+00:26:57,310 --> 00:27:03,650
+Y تربيع يساوي B تربيع فيه هذه لو أخدتلها المقامات
+
+241
+00:27:03,650 --> 00:27:09,470
+بيصير A تربيع ناقص X تربيع على مين؟ على A تربيع
+
+242
+00:27:09,470 --> 00:27:16,120
+هذه لو أخدتلها الجذر التربيعي بيصير absolute value
+
+243
+00:27:16,120 --> 00:27:23,400
+لـY يساوي B على A في الجذر التربيعي لـ A تربيع
+
+244
+00:27:23,400 --> 00:27:27,680
+ناقص X تربيع طب وين الـ absolute value؟ ليش ما
+
+245
+00:27:27,680 --> 00:27:33,040
+كتبتاش؟ بقول لك احنا ماخدين هذا الجذر وي عندنا
+
+246
+00:27:33,040 --> 00:27:38,160
+positive يبقى لا داعي للـ absolute value إذن Y يساوي
+
+247
+00:27:38,160 --> 00:27:41,820
+B على A في الجذر التربيعي وهي جبت له Y as a
+
+248
+00:27:41,820 --> 00:27:47,920
+function of X يبقى لو كملة هذه الدالة من عند Zero
+
+249
+00:27:47,920 --> 00:27:52,760
+لغاية A بيعطينا المساحة المظللة المحصورة بين
+
+250
+00:27:52,760 --> 00:27:59,600
+المنحنى ومحور X يبقى الـ area المطلوبة تبع الـ ellipse 
+
+251
+00:27:59,600 --> 00:28:08,100
+أربع أمثال تكامل للـ B على A في الجذر التربيعي
+
+252
+00:28:08,100 --> 00:28:15,610
+لـ A تربيع ناقص X تربيع دي X باقية حدود التكامل X
+
+253
+00:28:15,610 --> 00:28:23,590
+ستتغير من Zero لغاية A يبقى من Zero لغاية A بقوله
+
+254
+00:28:23,590 --> 00:28:30,750
+بصيغة جدا يبقى هذه أربعة P على A تكامل من Zero إلى
+
+255
+00:28:30,750 --> 00:28:39,410
+A للجذر التربيعي لـ A تربيع ناقص X تربيع DX أظن هذه
+
+256
+00:28:39,410 --> 00:28:46,250
+تكامل جبر مر علينا هذه؟ شو بلزمها؟ Trigonometric
+
+257
+00:28:46,250 --> 00:28:51,010
+Substitution الإشارة السالبة لكمية تحت الجذر
+
+258
+00:28:51,010 --> 00:28:56,790
+للمتغير يبقى تعوضه بدلالة الـ Sin يبقى بقوله حط للـ
+
+259
+00:28:56,790 --> 00:29:03,650
+X يساوي A Sin الزاوية ثيتا و ثيتا هذه أكبر من
+
+260
+00:29:03,650 --> 00:29:09,110
+سالب Pi على اثنين و أقل من Pi على اثنين و بالتالي
+
+261
+00:29:09,110 --> 00:29:14,850
+بطير الجذر و بأضمن القيمة اللي تطلع من عنده موجبة
+
+262
+00:29:14,850 --> 00:29:19,530
+لأن هذا في الربع الرابع و الربع الأول الـ Cosine لما
+
+263
+00:29:19,530 --> 00:29:24,430
+نطلع من تحت الجذر بصير ماله موجب طيب تمام التمام
+
+264
+00:29:24,780 --> 00:29:32,100
+إذا هذه تساوي أربعة P على A و هي تكامل و هي الجذر
+
+265
+00:29:32,100 --> 00:29:39,260
+التربيعي لـ A تربيع ناقص X تربيع لـ A تربيع Sin تربيع
+
+266
+00:29:39,260 --> 00:29:48,200
+ثيتا و الـ DX لو جت فضل تادي لبقى A Cos θ Dθ إذا بدنا
+
+267
+00:29:48,200 --> 00:29:55,910
+نضرب في A Cos θ في Dθ باقية حدود التكامل بدنا
+
+268
+00:29:55,910 --> 00:30:00,130
+نغيرها طبقا لهذه التعويضة لأن الحدود اللي عندي لـ
+
+269
+00:30:00,130 --> 00:30:05,370
+X غيرنا الـ X بدلال الـ θ إذا بدنا نغيّر الحدود تبعت
+
+270
+00:30:05,370 --> 00:30:10,390
+الـ θ بوسطة التعويضة اللي عوضناها فباجي بقول لما الـ
+
+271
+00:30:10,390 --> 00:30:17,130
+X بده تكون A بصير A يساوي A Sin θ اقسم على A بصير
+
+272
+00:30:17,130 --> 00:30:22,700
+Sin θ يساوي واحد مين الزمن اللي جيبها واحد؟ في
+
+273
+00:30:22,700 --> 00:30:27,640
+الربع الأول طبعا يومين باي على اثنين ما فيش غيرها
+
+274
+00:30:27,640 --> 00:30:32,520
+لو كانت الـ X بيه Zero يبقى Zero يبسم عليها بيصير
+
+275
+00:30:32,520 --> 00:30:38,460
+Sin θ يساوي Zero يبقى في الربع الأول ثيتا تساوي
+
+276
+00:30:38,460 --> 00:30:45,120
+من Zero يبقى هذا الكلام بده يساوي أربعة بى على A في
+
+277
+00:30:45,600 --> 00:30:50,320
+طلعنا هنا A تربيع مع A تربيع تطلع بقداش، وعندي
+
+278
+00:30:50,320 --> 00:30:57,700
+كمان A يبقى بصير A تربيع، و هيتكامل من Zero لغاية
+
+279
+00:30:57,700 --> 00:31:01,640
+Pi على اثنين، طلع هنا قداش عندي لما أخدت A تربيع
+
+280
+00:31:02,240 --> 00:31:07,020
+واحد ناقص Sin تربيع و مين؟ Cos تربيع تطلع من
+
+281
+00:31:07,020 --> 00:31:12,900
+تحت الجذر بـ Cos و عندي كمان Cos يبقى بصير Cos
+
+282
+00:31:12,900 --> 00:31:19,930
+تربيع ثيتا في دي ثيتا طيب هذا الكلام يساوي
+
+283
+00:31:19,930 --> 00:31:27,030
+اللي هو أربعة A بى A تربيع مع A بتختصر و الـ Cosine
+
+284
+00:31:27,030 --> 00:31:33,430
+تربيع هذه مشانها كاملة بروح اكتبها بدلالة بقى في
+
+285
+00:31:33,430 --> 00:31:40,860
+الزاوية يعني بقى بالنصفي 1 زائد Cos 2θ كله بالنسبة
+
+286
+00:31:40,860 --> 00:31:46,860
+الى dθ يا نص شرفنا برا يبقى يساوي النص مع الأربعة
+
+287
+00:31:46,860 --> 00:31:49,580
+مضى القداش اثنين
+
+288
+00:31:51,020 --> 00:31:57,900
+و بدنا نكامل تكامل الواحد بـ ثيتا و زاد Sin اثنين ثيتا
+
+289
+00:31:57,900 --> 00:32:03,300
+على اثنين و الحكي من Zero لغاية باي على اثنين يساوي
+
+290
+00:32:03,300 --> 00:32:10,180
+اثنين A بى ثيتا باي على اثنين هاي باي على اثنين حط
+
+291
+00:32:10,180 --> 00:32:14,560
+هنا باي على اثنين بتروح تمام تقدر الـ Sin باي جيب
+
+292
+00:32:14,560 --> 00:32:22,030
+الـ 180 قداش احكوا جيب الـ 180، تضرب، تروح
+
+293
+00:32:22,030 --> 00:32:28,910
+اثنين مع اثنين، يبقى الجواب باي في الـ A, B يبقى
+
+294
+00:32:28,910 --> 00:32:38,010
+مساحة الانبس يساوي باي في A, B
+
+295
+00:32:38,010 --> 00:32:44,130
+كل
+
+296
+00:32:44,130 --> 00:32:47,610
+اللي تضرعلي على الآلة الحاسبة، معناه تلغي مخك
+
+297
+00:32:51,220 --> 00:32:56,960
+طيب هذا المثال رقم ثلاثة ننتقل إلى النقطة الثانية
+
+298
+00:32:56,960 --> 00:33:02,940
+من هذا الـ Section يبقى النقطة الثانية بتقول ما
+
+299
+00:33:02,940 --> 00:33:07,420
+ياتي اللي هو Length of Parametrically Defined
+
+300
+00:33:07,420 --> 00:33:18,620
+Curve يعني طول المنحنى Length of Parametrically
+
+301
+00:33:19,640 --> 00:33:30,660
+Parametrically اللي هو Defined Curve Definition
+
+302
+00:33:30,660 --> 00:33:41,700
+تعريف The Length of the Curve The Length of the
+
+303
+00:33:41,700 --> 00:33:47,580
+Curve قول المنحنى C Defined
+
+304
+00:33:49,520 --> 00:33:57,280
+Define Parametrically المعرف
+
+305
+00:33:57,280 --> 00:34:09,420
+بارامتريا By X يساوي الـ F of T and الـ Y تساوي اللي
+
+306
+00:34:09,420 --> 00:34:14,540
+هو G of T و الـ
+
+307
+00:34:14,540 --> 00:34:25,930
+T هذي أقل من B و أكبر من الـ A is من عرفك التالي الـ
+
+308
+00:34:25,930 --> 00:34:33,030
+Length L يساوي تكامل من A إلى B للجذر التربيعي لـ F
+
+309
+00:34:33,030 --> 00:34:41,980
+Prime of T لكل تربيع زائد G Prime على DT الكل
+
+310
+00:34:41,980 --> 00:34:53,040
+تربيع كله بالنسبة إلى مين إلى DT بدنا
+
+311
+00:34:53,040 --> 00:34:57,520
+طول المنحنى المعطى في الصيغة البارامترية طبعا أنا
+
+312
+00:34:57,520 --> 00:35:02,900
+في Calculus ايه في آخر Chapter بجينا نحسب طول
+
+313
+00:35:02,900 --> 00:35:07,280
+المنحنى إذا بنحسب طوله في الصيغة البارامترية كان
+
+314
+00:35:07,280 --> 00:35:12,110
+هناك إن إذا كنتم ذاكرين طول المنحنى تكامل من a إلى b
+
+315
+00:35:12,110 --> 00:35:20,170
+لنفسه الجذر التربيعي لـ 1 زائد dy على dx لكل تربيع من
+
+316
+00:35:20,170 --> 00:35:28,250
+نسبة a إلى dx و هذا كان تكامل بالنسبة لـ Y تكامل من C
+
+317
+00:35:28,250 --> 00:35:33,730
+إلى D للجذر التربيعي الواحد زائد DX على DY كله
+
+318
+00:35:33,730 --> 00:35:39,850
+بالنسبة إلى DY طبعا DX على DY على DX أو DX على DY
+
+319
+00:35:39,850 --> 00:35:46,210
+كله تربيع طيب هذا نفسه بالضبط تماما بس نظرا لكل
+
+320
+00:35:46,210 --> 00:35:50,250
+واحدة فيهم الـ X و الـ Y صارت فيه متغير فصار يما
+
+321
+00:35:50,250 --> 00:35:54,610
+الصيغة هذه أو الصيغة اللي عندنا هذه يبقى لم نأتي
+
+322
+00:35:54,610 --> 00:36:00,230
+بجديد هو هو تبع Calculus ايه بس حطناه في الصيغة الـ
+
+323
+00:36:00,230 --> 00:36:04,250
+Parameter يعني عشان نفهم هذا الكلام إليك المثال
+
+324
+00:36:04,250 --> 00:36:07,070
+التالي يبقى Example
+
+325
+00:36:12,880 --> 00:36:25,280
+Find the Length of the Curve طول المنحنى المقطعة
+
+326
+00:36:25,280 --> 00:36:35,320
+الشكل التالي X يساوي ثمانية Cosine T زائد ثمانية T
+
+327
+00:36:35,320 --> 00:36:43,570
+في Sine T و الـ Y تساوي ثمانية في الـ Sine الـ T
+
+328
+00:36:43,570 --> 00:36:53,430
+ناقص ثمانية T في Cosine الـ T و الـ T محصورة ما بين
+
+329
+00:36:53,430 --> 00:36:57,570
+الـ Zero و ما بين الـ Pi على اثنين
+
+330
+00:37:05,030 --> 00:37:10,650
+إذا مش هنجيب طول المنحنى على الفترة المقطعة بالزمن
+
+331
+00:37:10,650 --> 00:37:17,030
+المشتقة الأولى و ربعها أو DX على DT و ربعها و كذلك
+
+332
+00:37:17,030 --> 00:37:25,070
+DY على DT و ربعها يبقى بالداجي هنا الـ DX على DT
+
+333
+00:37:25,070 --> 00:37:34,420
+يسبب في المشتقة الأولى تفضل Cos سالب ثمانية Sine T
+
+334
+00:37:38,630 --> 00:37:47,370
+دالتين يبقى ثمانية في Sine الـ T زائد ثمانية T في
+
+335
+00:37:47,370 --> 00:37:53,310
+تفاضل الـ Sine اللي هو Cos T واحدة سالبة و الثانية
+
+336
+00:37:53,310 --> 00:38:00,710
+موجبة مع السلامة يبقى آلة النتيجة إلى ثمانية T في
+
+337
+00:38:00,710 --> 00:38:09,940
+Cos T الآن نجي الـ dy على dt و يساوي نجي المعادلة
+
+338
+00:38:09,940 --> 00:38:17,840
+الثانية I ثمانية تفاضل الـ Sine بـ Cos T ناقص ثمانية
+
+339
+00:38:17,840 --> 00:38:20,460
+في Cos T
+
+340
+00:38:30,490 --> 00:38:35,950
+تختصر هذه موجبة أو هذه سالبة مع السلامة، إذا النتيجة
+
+341
+00:38:35,950 --> 00:38:45,160
+صارت لـ 8T في Sine T جب له المشاقات إذا بروح بحسب له
+
+342
+00:38:45,160 --> 00:38:51,620
+الـ Length L كتالي بقول له L يساوي تكامل من Zero
+
+343
+00:38:51,620 --> 00:38:59,460
+لغاية Pi على اثنين للجذر التربيعي لـ DX على DT لكل
+
+344
+00:38:59,460 --> 00:39:08,020
+تربيع هذه DX على DT لـ ثمانية T Cosine T لكل تربيع
+
+345
+00:39:08,020 --> 00:39:16,440
+زائد الثانية ثمانية T Sine T لكل تربيع كله بالنسبة
+
+346
+00:39:16,440 --> 00:39:22,340
+لمن إلى DT يبقى هذا يساوي تكامل من Zero لـ Pi على
+
+347
+00:39:22,340 --> 00:39:30,380
+اثنين للجذر التربيعي للـ 64 T تربيع Cos تربيع T
+
+348
+00:39:30,380 --> 00:39:39,110
+زائد 64 T تربيع Sine تربيع T كل هذا بالنسبة إلى
+
+349
+00:39:39,110 --> 00:39:44,170
+DT إلى DT يبقى هذا الكلام بده يساوي Integration
+
+350
+00:39:44,170 --> 00:39:50,770
+من Zero لـ Pi على اثنين لـ DT للجذر التربيعي
+
+351
+00:39:50,770 --> 00:39:57,290
+للـ 64 T تربيع هأعمل مشترك من هنا و من هنا
+
+352
+00:39:57,290 --> 00:39:58,230
+كذاش بيظل
+
+353
+00:40:07,320 --> 00:40:13,140
+يبقى النتيجة تساوي تكامل من 0 إلى π على اثنين
+
+354
+00:40:13,140 --> 00:40:20,540
+لـ ثمانية T DT الأصل أقول ثمانية Absolute Value لـ T
+
+355
+00:40:20,540 --> 00:40:25,040
+صح؟ لكن من 0 إلى π على اثنين T بتأخذ القيم
+
+356
+00:40:25,040 --> 00:40:30,090
+الموجودة بقية الـ T داعي للـ Absolute Value يبقى هذه
+
+357
+00:40:30,090 --> 00:40:35,530
+ثمانية T تربيع على اثنين من Zero لغاية Pi على اثنين
+
+358
+00:40:35,530 --> 00:40:44,630
+و يساوي أربعة في Pi على اثنين لكل تربيع ناقص Zero
+
+359
+00:40:44,630 --> 00:40:51,630
+يبقى النتيجة تساوي كذاش Pi تربيع هذا طول المنحنى
+
+360
+00:40:51,630 --> 00:40:59,800
+اللي عندنا نعطي كمان مثال مثال اثنين بقول Find the
+
+361
+00:40:59,800 --> 00:41:08,520
+Length of the Asteroid Find the Length of the
+
+362
+00:41:08,520 --> 00:41:17,920
+Asteroid الـ Asteroid المعطى بالشكل التالي اللي هو
+
+363
+00:41:17,920 --> 00:41:29,340
+الـ X يساوي Cosine تكعيب T و الـ Y يساوي Sine تكعيب T
+
+364
+00:41:29,340 --> 00:41:36,880
+و الـ T محصورة ما بين الـ Zero و ما بين 2π
+
+365
+00:41:49,290 --> 00:41:54,270
+لو حبينا نوريك شكل الـ Asteroid فشكل الـ Asteroid
+
+366
+00:41:54,270 --> 00:42:01,010
+على الشكل التالي هذا محور X هذا محور Y هذه نقطة
+
+367
+00:42:01,010 --> 00:42:07,870
+الأصل جوس بالشكل هذا بيجيك نفس الجوس بالشكل اللي
+
+368
+00:42:07,870 --> 00:42:16,370
+عندك هذا ايه تمام؟ و بيجي طالع بنفس الطريقة هنا و
+
+369
+00:42:16,370 --> 00:42:18,610
+هنا بنفس الطريقة اللي عندنا
+
+370
+00:42:22,930 --> 00:42:28,310
+بهذا الشكل هاد النقطة اللي هي واحد و Zero هادي Zero
+
+371
+00:42:28,310 --> 00:42:35,810
+واحد هادي سالب واحد و Zero هادي Zero و سالب واحد
+
+372
+00:42:35,810 --> 00:42:40,530
+يبقى هذا شكل الـ Asteroid اللي عندنا شوفوا يا سيدي
+
+373
+00:42:41,740 --> 00:42:47,000
+الآن بيجي بيقول هات للـ Length of the Asteroid يبقى
+
+374
+00:42:47,000 --> 00:42:53,000
+بدنا قداش طول الأقواس الأربعة اللي عندنا على الفترة
+
+375
+00:42:53,000 --> 00:42:58,380
+من Zero و لغاية 2π يعني باعتبارها دورات كاملة
+
+376
+00:42:58,380 --> 00:43:02,980
+بقوله بسيطة القانون هي عندنا والقاعدة موجودة عندنا
+
+377
+00:43:02,980 --> 00:43:10,270
+إذا بلزم نجداش DX على DT وجداش DY على DT صح صح
+
+378
+00:43:10,270 --> 00:43:18,530
+معايا كويس يبقى احنا بدنا DX على DT هذا كأنه قوس
+
+379
+00:43:18,530 --> 00:43:25,530
+الكل تكعيب يبقى باجي بقول الأس في ال cosine تربيع T
+
+380
+00:43:25,530 --> 00:43:31,170
+هيك اشتقاقها صح؟ لأ لسه ما جتظروا في مشتقة ال cosine
+
+381
+00:43:31,170 --> 00:43:36,590
+اللي هي السالب sine يبقى أي سالب بده اخليه برا هو
+
+382
+00:43:36,590 --> 00:43:46,180
+هاد ال sine T بقدر أعّبّها بالمرة يبقى صار DX على
+
+383
+00:43:46,180 --> 00:43:54,660
+DT الكل تربيع يساوي تسعة cosine أس أربعة T sin
+
+384
+00:43:54,660 --> 00:44:04,300
+تربيع T بالمُثل بدي أجيب له dy على dt يبقى تلاتة sin
+
+385
+00:44:04,300 --> 00:44:12,160
+تربيع T في تفاضل الـsin بمين؟ بcos T تربيع يبقى
+
+386
+00:44:12,160 --> 00:44:25,220
+dy على dt² بدي أساوي تسعة sin أربعة T cos تربيع T
+
+387
+00:44:25,960 --> 00:44:30,160
+بعد ذلك يحتاج ال length تبع ال asteroid يبقى بقول
+
+388
+00:44:30,160 --> 00:44:36,880
+ال length L يساوي تكامل أظن لو جبنا طول القوس هذا
+
+389
+00:44:36,880 --> 00:44:42,420
+هكذا وهذا الغامق وضربناه في أربعة بتم المطلوب مش
+
+390
+00:44:42,420 --> 00:44:49,460
+هكذا يبقى هذا يحتاج يساوي أربعة في تكامل تكامل
+
+391
+00:44:49,460 --> 00:44:58,060
+لماذا؟ للجذر التربيعي لماذا؟ DX على DT الكل square
+
+392
+00:44:58,060 --> 00:45:06,740
+اللي هي تسعة cosine أس أربعة T sine تربيع T زائد
+
+393
+00:45:06,740 --> 00:45:17,440
+التانية لتسعة sine أس أربعة T cosine تربيع T كله
+
+394
+00:45:17,440 --> 00:45:24,390
+بالنسبة لمين؟ لـDT بقيت حدود التكامل يبقى ال T من
+
+395
+00:45:24,390 --> 00:45:29,570
+Zero لأين؟ للإثنين باي يبقى أنا عندي نص الرابع
+
+396
+00:45:29,570 --> 00:45:36,210
+يبقى من Zero لأين؟ لباي على إثنين يبقى هذه بس من
+
+397
+00:45:36,210 --> 00:45:41,210
+Zero لباي على إثنين يبقى من Zero لباي على إثنين
+
+398
+00:45:41,210 --> 00:45:46,370
+يبقى يساوي أربعة تكامل من Zero لباي على إثنين
+
+399
+00:45:46,370 --> 00:45:52,990
+للجذر التربيعي أظن تسعة عامل مشترك و cos تربيع T عام
+
+400
+00:45:52,990 --> 00:45:58,430
+المشترك بظل
+
+401
+00:45:58,430 --> 00:46:06,690
+cos تربيع T زائد sin تربيع T كله بالنسبة لDT يبقى
+
+402
+00:46:06,690 --> 00:46:11,610
+هذا الكلام أربعة تكامل من zero ل by على إثنين هذا
+
+403
+00:46:11,610 --> 00:46:18,170
+كله بجداش بواحد وهذا يطلع من تحت الجذر بتسعة
+
+404
+00:46:18,170 --> 00:46:27,230
+cosine T sine T dt وهذه تلاتة وليست تسعة
+
+405
+00:46:29,720 --> 00:46:37,760
+طيب هذا بده يطيلك أربعة في تلاتة هيطلعناها برا وهي
+
+406
+00:46:37,760 --> 00:46:44,920
+تكامل من zero ل by على إثنين وهذه عبارة عن sin t
+
+407
+00:46:44,920 --> 00:46:54,380
+مشتقة sin t يعني cos t مع dt هي عبارة عن مشتقة sin
+
+408
+00:46:54,380 --> 00:47:01,320
+t طبعًا يبقى هذا الكلام يساوي إثنا عشر تكامل الـ
+
+409
+00:47:01,320 --> 00:47:08,600
+sine بسالب cosine T والحكي من zero لو يقل ل πاي
+
+410
+00:47:08,600 --> 00:47:12,620
+على .. ال sine ترميه على إثنين
+
+411
+00:47:16,520 --> 00:47:25,540
+يبقى هذه اليمين اللي هي ال sign تربيع T على 2 من 0
+
+412
+00:47:25,540 --> 00:47:33,140
+لغاية Pi على 2 يبقى هذه تساوي 6 في 12 على إثنين
+
+413
+00:47:33,140 --> 00:47:38,300
+فيها ستة و ال sign باي على إثنين اللي هو بواحد
+
+414
+00:47:38,300 --> 00:47:43,400
+تربيع ناقص sign ال zero ب zero تربيع يبقى الجواب
+
+415
+00:47:43,400 --> 00:47:49,640
+يساوي كده؟ يساوي ستة لازلنا في نفس ال section و
+
+416
+00:47:49,640 --> 00:47:55,100
+لما ننتهي بعد لسه ضايل عندنا النقطة الثالثة
+
+417
+00:47:55,100 --> 00:48:00,580
+والأخيرة في هذا ال section للمرة القادمة إن شاء
+
+418
+00:48:00,580 --> 00:48:00,860
+الله 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/ggwbpWNVlPY_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/ggwbpWNVlPY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0878653877c8a88bfa9c749c007605b69e6aabc8
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/ggwbpWNVlPY_raw.srt
@@ -0,0 +1,1672 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,610 --> 00:00:15,350
+بسم الله الرحمن الرحيم المرة الماضية اخدنا اول
+
+3
+00:00:15,350 --> 00:00:19,470
+section اللى هو ال parametric equations وشوفنا كيف
+
+4
+00:00:19,470 --> 00:00:24,550
+بنحول من فوق من parametric equations الى cartesian
+
+5
+00:00:24,550 --> 00:00:29,290
+equation و بنرسم و بنبين اتجاه الحركة اليوم بدنا
+
+6
+00:00:29,290 --> 00:00:31,950
+نيجي لل calculus اللى هو تبع ال parametric
+
+7
+00:00:31,950 --> 00:00:36,070
+equations يبقى حساب التفاضل والتكامن لمين لل
+
+8
+00:00:36,070 --> 00:00:41,820
+parametric equations اللى عندناتمام؟ يبقى بدنا
+
+9
+00:00:41,820 --> 00:00:47,060
+نيجي لأول نقطة اللي هي tangents and area يبقى بدنا
+
+10
+00:00:47,060 --> 00:00:52,000
+المماس لمنحنة موطنة في الصيغة البرامترية وكذلك
+
+11
+00:00:52,000 --> 00:00:57,260
+مساحة المنطقة لمنحنة موطنة في الصيغة البرامترية
+
+12
+00:00:57,260 --> 00:01:01,540
+كيف بدنا نحسب الشغلات هذهخلّينا مع النقطة الأولى
+
+13
+00:01:01,540 --> 00:01:05,200
+لو رجعنا الى calculus ايه و بجينا بدنا نجيب المماس
+
+14
+00:01:05,200 --> 00:01:09,920
+للمنحنة يبقى بلزمني مشان أجيب معادلة المماس شغلتين
+
+15
+00:01:10,770 --> 00:01:15,710
+الشغل الأولى بدي نقطة تقع على هذا المنحنى اللى
+
+16
+00:01:15,710 --> 00:01:20,530
+يتسمى نقطة التماس ما بين الخط المستقيم والمنحنى
+
+17
+00:01:20,530 --> 00:01:24,770
+النقطة الثانية ميل المنحنى عند هذه النقطة اللى هو
+
+18
+00:01:24,770 --> 00:01:30,350
+ميل المماس للمنحنى عند تلك النقطة يبقى مشان أجيب
+
+19
+00:01:30,350 --> 00:01:35,010
+معادلة مماس بدي نقطة أوقع عليه وكذلك ميله بنجيب
+
+20
+00:01:35,010 --> 00:01:40,390
+معادلتهأذا باجي بقول لو كانت ال X موطنة as a
+
+21
+00:01:40,390 --> 00:01:45,630
+function of T و ال Y as a function of T و الدل تل
+
+22
+00:01:45,630 --> 00:01:50,450
+اتنين F of T و GT دوال قابل الاشتقاق في T then
+
+23
+00:01:50,450 --> 00:01:57,810
+بدنا لسلوب تبع هذا المنحنى لسلوب اللي هو عبارة عن
+
+24
+00:01:57,810 --> 00:01:58,590
+مين؟
+
+25
+00:02:02,120 --> 00:02:08,400
+لكن لما كانت كله من X وY دوال في T يبقى هذه بقدر
+
+26
+00:02:08,400 --> 00:02:16,320
+اكتب على الشكل التالي Dy على Dt في Dt على Dx
+
+27
+00:02:16,320 --> 00:02:25,240
+وانشئتم ان نكتب هذا في شكل اخربقول دي وي على دي تي
+
+28
+00:02:25,240 --> 00:02:32,420
+مقسوما على دي اكس على دي تي بس بشرط ان دي اكس على
+
+29
+00:02:32,420 --> 00:02:38,700
+دي تي ممنوع يساوي مهم ممنوع يساوي زيرو أليس هذا هو
+
+30
+00:02:38,700 --> 00:02:44,170
+اللي كنا في calculus ايه ان دي للرمز y prime؟إذا
+
+31
+00:02:44,170 --> 00:02:50,770
+أصبح عندي y prime هي dy على dx هي ال slope تبع
+
+32
+00:02:50,770 --> 00:02:56,050
+الخط المستقيم او ال slope تبع ال tangent y عندنا و
+
+33
+00:02:56,050 --> 00:03:01,710
+اللي هو dy على dx او dy على dt في d t على dx كتبت
+
+34
+00:03:01,710 --> 00:03:05,510
+ايه؟ ليش؟ ان ال t parameter دخل في النص ما بين ال
+
+35
+00:03:05,510 --> 00:03:06,090
+x و y
+
+36
+00:03:13,360 --> 00:03:23,760
+بتصير DX على DT هدد للمشتقة XS لDY على DX
+
+37
+00:03:40,350 --> 00:03:46,170
+بنفس الطريقة التي كتبت فيها dy على dx بدلالة T بدي
+
+38
+00:03:46,170 --> 00:03:52,330
+اكتب هذه المشتقة كذلك بدلالة T يعني هذه كإنهاش D
+
+39
+00:03:52,330 --> 00:04:05,030
+على DTللـY' في DT على DX أين شئتم فقولوا الـD²Y
+
+40
+00:04:05,030 --> 00:04:16,330
+على DX² يساوي D على DT للـY' مقسوما على الـDX على
+
+41
+00:04:16,330 --> 00:04:22,940
+DT وبشرط ان الـDXعلى دي تي دوز مات equal to zero
+
+42
+00:04:22,940 --> 00:04:27,540
+يبقى هي مش جيبنا المشتقة الأولى واسلبه بس روحنا
+
+43
+00:04:27,540 --> 00:04:33,280
+نجيبنا منهم المشتقة الثانية يبقى يجب أن ناخد بعض
+
+44
+00:04:33,280 --> 00:04:39,020
+الأمثلة على الكلام اللي قلناه هذا بنجي لأول مثال
+
+45
+00:04:39,020 --> 00:04:40,840
+يبقى example one
+
+46
+00:04:44,890 --> 00:04:54,090
+أول مثال بيقول find an
+
+47
+00:04:54,090 --> 00:05:00,310
+equation for the
+
+48
+00:05:00,310 --> 00:05:08,310
+line tangent
+
+49
+00:05:15,300 --> 00:05:24,640
+للمنحنة with parametric equations with parametric
+
+50
+00:05:24,640 --> 00:05:36,160
+equations والمعطف فيه واحد واي تساوي T على T ناقص
+
+51
+00:05:36,160 --> 00:05:43,430
+واحد at T تساوي اتنينهذا المطلوب الأول المطلوب
+
+52
+00:05:43,430 --> 00:05:54,330
+التاني also وكذلك find وجد d square y على dx
+
+53
+00:05:54,330 --> 00:06:02,910
+square at this point يبقى
+
+54
+00:06:02,910 --> 00:06:09,470
+عند هذه النقطة solution
+
+55
+00:06:14,270 --> 00:06:19,390
+بنرجع لسؤال مرة تانية سؤال يقول هاتلي معادلة الخط
+
+56
+00:06:19,390 --> 00:06:24,110
+الذي يكون مماسا للمنحنة الموطعة في الصيغة
+
+57
+00:06:24,110 --> 00:06:29,190
+البرامترية التالية X يساوي واحد على T زائد واحد و
+
+58
+00:06:29,190 --> 00:06:35,150
+Y تساوي T على T ناقص واحد عند T تساوي اتنينوكذلك
+
+59
+00:06:35,150 --> 00:06:38,770
+هات للمشتقة التانية عند نفس النقطة اللي هي تساوي
+
+60
+00:06:38,770 --> 00:06:44,410
+قداش T تساوي اتنى يبقى عشان اجيب معادلة ال tangent
+
+61
+00:06:44,410 --> 00:06:49,810
+line بالزمني النقطة واقع عليه و بالزمني كذلك من ال
+
+62
+00:06:49,810 --> 00:06:57,160
+mail تبعه يبقى باجي بقوله at T تساوي اتنىبتجيب
+
+63
+00:06:57,160 --> 00:07:03,180
+إحداث النقطة x و y جداش بتكون إذا هشيل في ال x و
+
+64
+00:07:03,180 --> 00:07:08,480
+ال y كل T و أحط مكانها اتنين يبقى بيصير واحد على
+
+65
+00:07:08,480 --> 00:07:13,860
+اتنين plus one و هاد اتنين على اتنين minus ال one
+
+66
+00:07:13,860 --> 00:07:20,280
+يبقى أصبحت النقطة هي عبارة عن تلت و جداش تلت و
+
+67
+00:07:20,280 --> 00:07:26,430
+اتنينيبقى هذه احداثيات النقطة اللى عندنا اللى بدنا
+
+68
+00:07:26,430 --> 00:07:31,470
+نجيب معادلة المماس عند هذه النقطة هذا الأمر الأول
+
+69
+00:07:31,470 --> 00:07:36,930
+الأمر التاني بدي الاسلوب يبقى الاسلوب تبع المنحنة
+
+70
+00:07:36,930 --> 00:07:44,350
+اللى هو بده يساوي dy على dt على dx على dy يساوي
+
+71
+00:07:44,350 --> 00:07:49,570
+نيجي dy على dy هي ال Y يبقى بلا نشتقة هذه مشتقة
+
+72
+00:07:49,570 --> 00:07:55,150
+خارج قسمةيبقى المقام في مشتقة الـBest اللي هي
+
+73
+00:07:55,150 --> 00:08:00,290
+بواحد ناقص الـBest في مشتقة المقام اللي هي بواحد
+
+74
+00:08:00,290 --> 00:08:08,350
+كذلك على مربع المقام الأصلي هذا كله مين؟ dy على dt
+
+75
+00:08:08,350 --> 00:08:15,030
+ضايل علينا مين؟ dx على dt مشتقة هذه زي مشتقة واحد
+
+76
+00:08:15,030 --> 00:08:19,280
+على tأشتغلت واحد على ت بصالب واحد على ت تربيع يبقى
+
+77
+00:08:19,280 --> 00:08:27,080
+هذه صالب واحد على ت زائد واحد لكل تربيع نعيد
+
+78
+00:08:27,080 --> 00:08:32,780
+صيادتها يبقى تساوي صالب ت موجب ت مع السلامة يبقى
+
+79
+00:08:32,780 --> 00:08:39,400
+هذه بتصير صالب واحد على ت ناقص واحد لكل تربيع هذه
+
+80
+00:08:39,400 --> 00:08:46,040
+نضربها بتقلع فوق بصير صالبT زائد واحد اللي هو
+
+81
+00:08:46,040 --> 00:08:51,520
+تربية بالشكل لأن هذا يبقى صارة النتيجة T زائد واحد
+
+82
+00:08:51,520 --> 00:08:58,160
+لكل تربية على T ناقص واحد لكل تربية يبقى هذا
+
+83
+00:08:58,160 --> 00:09:02,320
+الاسلوب تبقى المنهج بد الاسلوب عند T تساوي اتنين
+
+84
+00:09:02,320 --> 00:09:10,480
+فبجي بقوله الاسلوبعند ال T تساوي اتنين يساوي اتنين
+
+85
+00:09:10,480 --> 00:09:15,420
+زاد واحد لكل تربيع اتنين ناقص واحد لكل تربيع يساوي
+
+86
+00:09:15,420 --> 00:09:25,330
+تسعةإذا أصبحت النقطة المنحنة موجودة
+
+87
+00:09:25,330 --> 00:09:30,230
+بقدر أجيب معادلة المباسة يبقى باجي بقوله the
+
+88
+00:09:30,230 --> 00:09:39,300
+equation of the tangent isبقيت أقول في كل خلاصة
+
+89
+00:09:39,300 --> 00:09:46,700
+معادلة المنحنة هي Y يساوي لإسلوب في X ناقص ال X
+
+90
+00:09:46,700 --> 00:09:51,860
+node زائد Y node مش هذي كانت معادلة الخط المستقيم
+
+91
+00:09:51,860 --> 00:09:57,360
+انها أو Y على Y node ناقص على X ناقص ال X node بده
+
+92
+00:09:57,360 --> 00:10:01,620
+يساوي الميل اللي هو M اللي هو الإسلوب يبقى بناه أن
+
+93
+00:10:01,620 --> 00:10:08,040
+عليه Y حد ساوينجي لهنا الميل طلعناه جباش له تسعة
+
+94
+00:10:09,000 --> 00:10:14,680
+وهنا X ناقص X node اللي هي بتلت وال Y node عبارة
+
+95
+00:10:14,680 --> 00:10:23,340
+عن قداش اتنين هذا معناه ان Y تساوي تسعة X ناقص
+
+96
+00:10:23,340 --> 00:10:30,020
+تلاتة زائد اتنين يبقى معادلة المماثل المطلوبة Y
+
+97
+00:10:30,020 --> 00:10:35,840
+تساوي تسعة X ناقص واحد هذه ال equation of the
+
+98
+00:10:35,840 --> 00:10:40,250
+tangentحتى الآن انتهينا من المطلوب الأول يبقى
+
+99
+00:10:40,250 --> 00:10:47,090
+حسبنا له معادلة المماث لما T تساوي 2 وبالتالي حدث
+
+100
+00:10:47,090 --> 00:10:51,870
+هذا لما كان الإحداثيات الكارتيزية لل X والY هي
+
+101
+00:10:51,870 --> 00:10:57,130
+عبارة عن تلت ومين واثنينالان بنروح نجيب المشتقة
+
+102
+00:10:57,130 --> 00:11:03,610
+الثانية عند من؟ عند T تساوية ميم المشتقة الثانية
+
+103
+00:11:03,610 --> 00:11:09,370
+هي هاي الصيغة الموجودة عندنا D²Y على DX² يبقى هي
+
+104
+00:11:09,370 --> 00:11:16,110
+عبارة عن D على DT للـY' على DX على DT لميم للوات
+
+105
+00:11:16,130 --> 00:11:28,690
+أذا بقوله الآن D²Y على DX² هي عبارة عن D على DT
+
+106
+00:11:28,690 --> 00:11:38,710
+لمين؟ للـY' مقسمة على DX على DT هذا بده يعطينا ما
+
+107
+00:11:38,710 --> 00:11:48,320
+يأتيD²Y على DX² يساوي بدنا نيجي على ال Y' وين ال
+
+108
+00:11:48,320 --> 00:11:55,600
+Y' هي امشي امشي هي يبقى بدى اشتق من بدى اشتق هذا
+
+109
+00:11:55,600 --> 00:12:00,720
+اللي هو مشتقت خارج قسم الدالتين يبقى باجي بقوله
+
+110
+00:12:00,720 --> 00:12:08,470
+المقامفي مشتقة الباص T زائد واحد في مشتقة مداخل
+
+111
+00:12:08,470 --> 00:12:15,190
+القوس اللي هو بواحد ناقص الباص اللي هو من T زائد
+
+112
+00:12:15,190 --> 00:12:21,510
+واحد لكل تربية في مشتقة المقام اتنين في T ناقص
+
+113
+00:12:21,510 --> 00:12:27,910
+واحد على مربع المقام الأصلي اللي هو T ناقص واحد أس
+
+114
+00:12:27,910 --> 00:12:34,200
+أربعةاللي كتبته هذا لسه مشتقت من البصط اللي أنا
+
+115
+00:12:34,200 --> 00:12:38,900
+ضايل مشتقت المقام DX على DT هي مشتقت المقام
+
+116
+00:12:38,900 --> 00:12:46,680
+الأصلية مغيرناش يمكنها سالب واحد على T زائد واحد
+
+117
+00:12:46,680 --> 00:12:52,340
+لكل ثيربيايبقى نبسطها شو رايك بنقدر ناخد اتنين
+
+118
+00:12:52,340 --> 00:12:57,380
+عامل مشترك وبنقدر ناخد T ناقص واحد عامل مشترك
+
+119
+00:12:57,380 --> 00:13:03,580
+وبنقدر ناخد T زائد واحد عامل مشترك بيظل لإن هنا بس
+
+120
+00:13:03,580 --> 00:13:08,900
+T ناقص واحد وهنا بيظل T زائد واحد مسبقا بإشارة
+
+121
+00:13:08,900 --> 00:13:16,890
+سالب يبقى سالب T سالب واحد علىالمقام هذا T ناقص
+
+122
+00:13:16,890 --> 00:13:23,430
+واحد كله أربعة زي ما هو نزل تحت وهذا main اللي هو
+
+123
+00:13:23,430 --> 00:13:30,310
+سالب واحد على T زائد واحد لكل تربية انبسط هذا
+
+124
+00:13:30,310 --> 00:13:35,590
+المقدار أكتر يبقى اتنين في T ناقص واحد في T زائد
+
+125
+00:13:35,590 --> 00:13:42,780
+واحدناقص T وزائد T مع السلام مايبقى لنا جداش، ناقص
+
+126
+00:13:42,780 --> 00:13:48,460
+اتنين، مش هجدكوا بس، هذا الكلام على T ناقص واحد،
+
+127
+00:13:48,460 --> 00:13:56,820
+ده power four وهذه تطلع فوق بT زائد واحد لكل تربيع
+
+128
+00:13:56,820 --> 00:14:03,610
+بإشارة سالب، هذه السالب اللي عندناطيب هذا الكلام
+
+129
+00:14:03,610 --> 00:14:10,970
+يستوي سالب مع سالب بيصير موجب اتنين في اتنين اربعة
+
+130
+00:14:10,970 --> 00:14:17,450
+اطلعله هنا بيصير ان هذا معلوس اربعة بيصير في
+
+131
+00:14:17,450 --> 00:14:23,590
+المقام T ناقص واحد لكل تكيب بيظل ان T زائد واحد في
+
+132
+00:14:23,590 --> 00:14:31,360
+T زائد واحد تربيع يبقى T زائد واحد لكل تكيبيبقى
+
+133
+00:14:31,360 --> 00:14:36,540
+هذا شكل المشتقة الثانية قل نحسب المشتقة الثانية
+
+134
+00:14:36,540 --> 00:14:47,420
+عند T تساوي اتنين يبقى هذا الكلام بيجي D²Y على DX²
+
+135
+00:14:47,420 --> 00:14:53,920
+لما T تساوي اتنين بده يساوي بدي أشيل كل T و أحط
+
+136
+00:14:53,920 --> 00:14:59,360
+مكانها اتنينيبقى اربعة في اتنين زائد واحد لكل
+
+137
+00:14:59,360 --> 00:15:05,100
+تكييب على اتنين ناقص واحد لكل تكييب ويساوي اظن
+
+138
+00:15:05,100 --> 00:15:10,680
+المقارنة بواحد صحيح نجي لبس اتنين زائد واحد تلاتة
+
+139
+00:15:10,680 --> 00:15:15,880
+تكييب سبعة وعشرين سبعة وعشرين في اربعة له بمية و
+
+140
+00:15:15,880 --> 00:15:22,720
+تمانيةيبقى مقدار المشتقة الثانية عند هذه النقطة
+
+141
+00:15:22,720 --> 00:15:25,680
+اللي هو مية و تمانية
+
+142
+00:15:51,530 --> 00:16:00,230
+مثال اتنين بيقول
+
+143
+00:16:00,230 --> 00:16:09,690
+find the slope of the curveFind the slope of the
+
+144
+00:16:09,690 --> 00:16:16,290
+curve للملحقة الموجهة في الصيغة البرامترية X تكييب
+
+145
+00:16:16,290 --> 00:16:27,410
+زائد 2T تربيه بده يساوي 9 و 2Y تكييب ناقص 3T تربيه
+
+146
+00:16:27,410 --> 00:16:36,330
+بده يساوي 4وحط له اللي هو at T تساوي اتنين ايه
+
+147
+00:16:36,330 --> 00:16:40,590
+بيبقى عنده T تساوي اتنين كذلك؟ بقوله والله كويس
+
+148
+00:16:40,590 --> 00:16:46,810
+قاللي هاتلي الميال تبع المنحنة بقولله كويس اه هذا
+
+149
+00:16:46,810 --> 00:16:50,770
+السؤال مش زي اللي جابله مش محطوطة X كده اللي في T
+
+150
+00:16:50,770 --> 00:16:55,430
+وY ده اللي في T منفاصلةلذلك هذا الاشتقاق بقيت
+
+151
+00:16:55,430 --> 00:17:00,710
+أسميه في calculus ا اشتقاقا ضمنيا implicit
+
+152
+00:17:00,710 --> 00:17:05,550
+differentiation يبقى هنا بنروح اشتق بالنسبة لاتي
+
+153
+00:17:05,550 --> 00:17:11,810
+اشتقاقا ضمنيا من يشتق لي بالنسبة ل X كي يشتقال
+
+154
+00:17:11,810 --> 00:17:13,570
+اشتقاق ضمنى؟
+
+155
+00:17:15,820 --> 00:17:21,720
+تلاتة اكس تربية في DX على DT تمام تمام يبقى بدي
+
+156
+00:17:21,720 --> 00:17:28,640
+بقوله solution تمام بدي بقوله هاي تلاتة اكس تربية
+
+157
+00:17:28,640 --> 00:17:36,620
+في DX على DT زائد اربعة T بده يساوي Zero تمام يبقى
+
+158
+00:17:36,620 --> 00:17:45,820
+من هذه بقدر اقوله اذا ال DX على DT-4T على 3X تربيع
+
+159
+00:17:45,820 --> 00:17:52,760
+اختصارات ماعنديهش يبقى يخلّيها مالها زي ما هي الان
+
+160
+00:17:52,760 --> 00:17:56,720
+يجي المشتقة الثانية تبع ال Y يبقى مشتقة بالنسبة ل
+
+161
+00:17:56,720 --> 00:18:07,480
+T يبقى كده؟ 6Y تربيع في DY على DT نقص 6T يساوي 0
+
+162
+00:18:08,200 --> 00:18:19,000
+بناء عليه بقدر اقول يبقى dy على dt يساوي 6t على 6y
+
+163
+00:18:19,000 --> 00:18:25,960
+تربيع يعني t على مين على y تربيع احنا بدنا الاسلوب
+
+164
+00:18:25,960 --> 00:18:34,940
+الاسلوب اللي عبارة عن dy على dx يبقى dy على dt على
+
+165
+00:18:34,940 --> 00:18:45,600
+dx على dtdy على dt اللي هي t على y تربية dx على dt
+
+166
+00:18:45,600 --> 00:18:54,920
+اللي هي سالب 4t على 3x تربية اللي هي t على y تربية
+
+167
+00:18:54,920 --> 00:19:07,380
+هذه نجلبها بصير سالب 3x تربية على 4tبناء عليه صار
+
+168
+00:19:07,380 --> 00:19:14,240
+ليه slope عندنا بده يساوي T بتروح مع ال T بصير
+
+169
+00:19:14,240 --> 00:19:23,400
+عندي سالب تلت تربع اللي هو X تربية على Y تربيةيبقى
+
+170
+00:19:23,400 --> 00:19:27,880
+نسلق طالع على جلال اتنين اكس و واي اذا ايجباري
+
+171
+00:19:27,880 --> 00:19:34,200
+لازم اعرف قداش قيمة اكس و واي عند من عند ت تساوي
+
+172
+00:19:34,200 --> 00:19:40,380
+اتنين اللي اعطاه لي باجي بقوله ماشي بط بدي اعرف
+
+173
+00:19:40,380 --> 00:19:45,600
+قداش اكس و واي عند ت تساوي اتنين بقول يالا شيل كل
+
+174
+00:19:45,600 --> 00:19:49,020
+ت و حط مكان اتنين و شوف قداش بتعطيك اكس و قداش
+
+175
+00:19:49,020 --> 00:19:50,240
+بتعطيك واي
+
+176
+00:20:00,840 --> 00:20:12,160
+تساوي اتنين اتنين
+
+177
+00:20:12,160 --> 00:20:19,770
+اتنين في اتنين تربيعيساوي تسعة يبقى الاكس تكيب
+
+178
+00:20:19,770 --> 00:20:24,390
+يساوي اربعة في اتنين تامانية ضيف سالف تمانية
+
+179
+00:20:24,390 --> 00:20:30,170
+للطرفين بصير الاكس تكيب بواحد الحل الحقيقى الوحيد
+
+180
+00:20:30,170 --> 00:20:35,150
+لها هو اكس يساوي كداش واحد صحيح الحلين اتنين
+
+181
+00:20:35,150 --> 00:20:41,950
+تخيليات خارج نطاق دراستنا الان باجي بقول له at T
+
+182
+00:20:41,950 --> 00:20:49,760
+تساوي اتنين برضه we haveتمام؟ يبقى we have. بدنا
+
+183
+00:20:49,760 --> 00:20:56,560
+نيجي على المعادلة التانية اتنين ويتكيب ناقص تلاتة
+
+184
+00:20:56,560 --> 00:21:03,520
+في اتنين تربية يساوي اربعة يبقى اتنين ويتكيب تساوي
+
+185
+00:21:03,520 --> 00:21:09,100
+اربعة في تلاتة باطناشيبقى شجة تانية بيصير اتناشر
+
+186
+00:21:09,100 --> 00:21:14,960
+موجة مع اربعة يساوي ستاشر يبقى هذا بيقول واي تكعيب
+
+187
+00:21:14,960 --> 00:21:21,320
+تساوي تمانية اذا واي تساوي قداش لاتنين معناته ان
+
+188
+00:21:21,320 --> 00:21:28,800
+النقطة XY هذا بيقول ان النقطة اللى بدنا نحسب اسلوب
+
+189
+00:21:28,800 --> 00:21:35,490
+عندهاللي ال X و ال Y تساوي واحد و اتنين هذا بده
+
+190
+00:21:35,490 --> 00:21:41,150
+يعطيلك ال اسلوب اللي هو طالبه عندما ال T تساوي
+
+191
+00:21:41,150 --> 00:21:48,550
+اتنين يساوي هاي ناقص ثلاثة وهذه عندك واحد تربيع
+
+192
+00:21:48,550 --> 00:21:55,300
+على اربعةهذه دي
+
+193
+00:21:55,300 --> 00:22:00,300
+واي على دي إكس هذه دي اه بعد ما اختصرنا صارت هذه
+
+194
+00:22:00,300 --> 00:22:06,000
+يبقى هذه ناقص تلات تربع في واحد على اتنين تربية
+
+195
+00:22:06,000 --> 00:22:13,820
+ويساوي ناقص ثلاثة على ستة عشر مقدار ميل المماس
+
+196
+00:22:13,820 --> 00:22:20,790
+للمنحمة عند هذه النقطة يبقى هذين المثالينواحد على
+
+197
+00:22:20,790 --> 00:22:25,930
+الـ tangent والتاني على ميل الـ tangent فقط سؤال
+
+198
+00:22:25,930 --> 00:22:31,030
+التالت أو المثال الثالث بيقول ما يتيحقق find the
+
+199
+00:22:31,030 --> 00:22:41,450
+area find the area enclosed بدنا الفترة المغلقة by
+
+200
+00:22:41,450 --> 00:22:52,410
+the ellipse by the ellipse بالـ ellipseلهمن ال X
+
+201
+00:22:52,410 --> 00:23:01,510
+بده يساوي A في Cos T وال Y بده يساوي B في Sin T
+
+202
+00:23:01,510 --> 00:23:07,410
+والT هذي أكبر من أو يساوي Zero أقل من أو يساوي
+
+203
+00:23:07,410 --> 00:23:14,230
+اتنين باي وال A أكبر من من؟ أكبر من ال B
+
+204
+00:23:31,340 --> 00:23:34,400
+طبعا النقطة الأولى في هذا ال section كنا كاتبينها
+
+205
+00:23:34,400 --> 00:23:38,680
+tangents and areas يبقى أخدنا مثالين على ال
+
+206
+00:23:38,680 --> 00:23:43,880
+tangents أخد مثال على المساحة بقول هاتلي مساحة
+
+207
+00:23:43,880 --> 00:23:48,800
+المنطقة المغلقة بال ellipse اللي معادلته ال
+
+208
+00:23:48,800 --> 00:23:53,740
+parameterية على الشكل x يسوى cosine t و y يسوى b
+
+209
+00:23:53,740 --> 00:24:01,820
+sin tوT من 0 ل2 باي و A greater than B بقوله تعالى
+
+210
+00:24:01,820 --> 00:24:06,120
+نشوف الشكل هذا ال ellipse لإن ال ellipse يمكن أنه
+
+211
+00:24:06,120 --> 00:24:11,480
+يرتبع ال X axis يمكن ال Y axis يمكن معمله دوران
+
+212
+00:24:11,480 --> 00:24:18,360
+الله أعلم إذا جئت للمعادلة هذه بقدر أقول X على A
+
+213
+00:24:18,360 --> 00:24:29,240
+يسوى Cos TوY على B يساوي صينة T لو ربعته و جمعته
+
+214
+00:24:29,240 --> 00:24:34,460
+يبقى ايش بيحصل لانه يبقى بيصير X تربيه على A تربيه
+
+215
+00:24:34,460 --> 00:24:40,400
+زائد Y تربيه على B تربيه بسبب كده واحد يبقى هذا
+
+216
+00:24:40,400 --> 00:24:45,570
+ellipseمظبوط الـ ellipse الـ major axis هو محور X
+
+217
+00:24:45,570 --> 00:24:51,910
+ولا محور Y؟ محور X لأنه قال A أكبر من B يبقى لو
+
+218
+00:24:51,910 --> 00:24:56,610
+روحت رسمت هذا ال ellipse هيكون عليه الشكل التالي
+
+219
+00:24:56,610 --> 00:25:02,190
+هذا محور X هذا Y هذه نقطة الأصل هذا ال ellipse
+
+220
+00:25:02,190 --> 00:25:09,280
+لأنه بهذا الشكلالنقطة هذه الأحداث تبعها A و Zero
+
+221
+00:25:09,280 --> 00:25:17,160
+هذه سالب A و Zero هذه Zero و B النقطة المناظرة لها
+
+222
+00:25:17,160 --> 00:25:24,820
+Zero و سالب Bطيب القلب زي ما انت شايف يبقى هذا
+
+223
+00:25:24,820 --> 00:25:30,240
+نظرا لإن X تربية وY تربية يبقى فيه تماثل بالنسبة
+
+224
+00:25:30,240 --> 00:25:35,520
+لمحور X وفيه تماثل بالنسبة لمحور Y للي اتنين
+
+225
+00:25:35,520 --> 00:25:42,700
+للمجسم هذا او ال area هذه متماثلة اذا نقل هاتل
+
+226
+00:25:42,700 --> 00:25:49,790
+المساحة دي بقوله بسيطة جدالو أخدت أنا مقطع أو جزء
+
+227
+00:25:49,790 --> 00:25:55,090
+من هذا الـ Ellipse أو الجزء المظلل، إيش يمثل
+
+228
+00:25:55,090 --> 00:26:00,430
+بالنسبة للـ Ellipse؟ رابط، بسبب الـ Tomato، مظبوط؟
+
+229
+00:26:00,430 --> 00:26:05,210
+يبقى أنا لو جيبت مساحة الجزء المظلل وضربته في
+
+230
+00:26:05,210 --> 00:26:09,110
+أربعة، بجيب مساحة مين؟ مساحة الـ Ellipse، إلا أنا
+
+231
+00:26:09,560 --> 00:26:13,240
+الكلام الكويس طب كيف بقى تجيب المساحة هذه؟ برجع
+
+232
+00:26:13,240 --> 00:26:18,400
+بقوله احنا في calculus ايه مدام عندك تكمل محدود
+
+233
+00:26:18,400 --> 00:26:23,960
+على دالة متاصلة يبقى هذا بيعطيك اللي هو المساحة
+
+234
+00:26:23,960 --> 00:26:30,180
+تبعت او المساحة المحصوبة بين منحنا ومن ومح واركس
+
+235
+00:26:30,450 --> 00:26:33,910
+بقول له و الله كويس، طب وين هي الدالة؟ بقول له
+
+236
+00:26:33,910 --> 00:26:39,590
+هايها، بس محطوطاش ضمني، طب بتقدر تخلي Y as a
+
+237
+00:26:39,590 --> 00:26:44,070
+function of X؟ بقول له أه بقدر، بقدر كيف؟ طلعلي
+
+238
+00:26:44,070 --> 00:26:50,610
+هيك، هذه بدت يعطيلك ما يأتي Y تربيع على B تربيع
+
+239
+00:26:50,610 --> 00:26:57,310
+يسوى واحد ناقص X تربيع على A تربيعأو هذه بقدر أقول
+
+240
+00:26:57,310 --> 00:27:03,650
+Y تربية يساوي B تربية فيه هذه لو أخدتلها المقامات
+
+241
+00:27:03,650 --> 00:27:09,470
+بيصير A تربية ناقص X تربية على مين؟ على A تربية
+
+242
+00:27:09,470 --> 00:27:16,120
+هذه لو أخدتلها الجذر التربيعيبصير absolute value
+
+243
+00:27:16,120 --> 00:27:23,400
+لـY يسوى بي على إيه في الجدر التربيعي لإيه تربيع
+
+244
+00:27:23,400 --> 00:27:27,680
+ناقص X تربيع طب وين ال absolute value؟ ليش ما
+
+245
+00:27:27,680 --> 00:27:33,040
+كتبتاش؟ بقولك احنا ماخدين هذا الجزر وي عندنا
+
+246
+00:27:33,040 --> 00:27:38,160
+positive يبقى لا داعي لل absolute value إذن Y يسوى
+
+247
+00:27:38,160 --> 00:27:41,820
+بي على إيه في الجدر التربيعي وهي جبتله Y as a
+
+248
+00:27:41,820 --> 00:27:47,920
+function of Xيبقى لو كملة هذه الدالة من عند Zero
+
+249
+00:27:47,920 --> 00:27:52,760
+لغاية A بيعطينا المساحة المظللة المحصورة بين
+
+250
+00:27:52,760 --> 00:27:59,600
+المنحنة ومحور X يبقى ال area المطلوبة تبعت للبس
+
+251
+00:27:59,600 --> 00:28:08,100
+أربع أمثال تكامل لل B على A في الجدر التربيعي
+
+252
+00:28:08,100 --> 00:28:15,610
+لتربيع ناقص X تربيع دي Xباقية حدود التكامل X
+
+253
+00:28:15,610 --> 00:28:23,590
+ستتغير من؟ Zero لغاية A يبقى من Zero لغاية A بقوله
+
+254
+00:28:23,590 --> 00:28:30,750
+بصيفة جدا يبقى هذه أربعة P على A تكامل من Zero إلى
+
+255
+00:28:30,750 --> 00:28:39,410
+A للجدر التربية إلى A تربية ناقص X تربية DXأظن هذه
+
+256
+00:28:39,410 --> 00:28:46,250
+تكامل لجبر مر علينا هذه؟ شو بلزمها؟ Trigonometric
+
+257
+00:28:46,250 --> 00:28:51,010
+Substitution الإشارة السالبة لكمية تحت الجبر
+
+258
+00:28:51,010 --> 00:28:56,790
+للمتغير يبقى تعوضة بدلالة الـSin يبقى بقوله حط لل
+
+259
+00:28:56,790 --> 00:29:03,650
+X يساوي ايه في Sin الزاوية ثيتا وثيتا هذه أكبر من
+
+260
+00:29:03,650 --> 00:29:09,110
+سالب Pi على اتنين وأقل من Pi على اتنينوبالتالي
+
+261
+00:29:09,110 --> 00:29:14,850
+بطير الجدر وبأضمن القيمة اللى تطلع من عنده موجبة
+
+262
+00:29:14,850 --> 00:29:19,530
+لأن هذا في الربع الرابع والربع الأول ال cosine لما
+
+263
+00:29:19,530 --> 00:29:24,430
+نطلع من تحت الجدر بصير ماله موجب طيب تمام التمام
+
+264
+00:29:24,780 --> 00:29:32,100
+اذا هذه تسوى أربعة P على A وهي تكامل وهي الجذر
+
+265
+00:29:32,100 --> 00:29:39,260
+التربية لA تربية ناقص X تربية لA تربية Sin تربية
+
+266
+00:29:39,260 --> 00:29:48,200
+ثيتا والDX لو جت فضل تادي لبقى A Cos θ Dθ اذا بدنا
+
+267
+00:29:48,200 --> 00:29:55,910
+نضرب في A Cos θ في Dθباقية حدود التكامل بدنا
+
+268
+00:29:55,910 --> 00:30:00,130
+نغيّرها طبقا لهذه التعويضة لأن الحدود اللي عندي ل
+
+269
+00:30:00,130 --> 00:30:05,370
+X غيرنا ال X بدلال ال θ إذا بدنا نغيّر الحدود تبعت
+
+270
+00:30:05,370 --> 00:30:10,390
+ال θ بوسطة التعويضة اللي عوضناها فباجي بقول لما ال
+
+271
+00:30:10,390 --> 00:30:17,130
+X بده تكون A بصير A يساوي A sin θ اقسم على A بصير
+
+272
+00:30:17,130 --> 00:30:22,700
+sin θ يساوي واحد مين الزمن اللي جيبها واحد؟فى
+
+273
+00:30:22,700 --> 00:30:27,640
+الرابع الأول طبعا يومين باى على اتنين مافيش غيرها
+
+274
+00:30:27,640 --> 00:30:32,520
+لو كانت ال X بيه Zero يبقى Zero يبسم عليها بيصير
+
+275
+00:30:32,520 --> 00:30:38,460
+سايفيتا يساوي Zero يبقى فى الرابع الأول ثيتا تساوي
+
+276
+00:30:38,460 --> 00:30:45,120
+من Zero يبقى هذا الكلام بده يساوي اربعة بى على افى
+
+277
+00:30:45,600 --> 00:30:50,320
+طلعنا هنا اي تربيع مع اي تربيع تطلع بقداش، وعندي
+
+278
+00:30:50,320 --> 00:30:57,700
+كمان ايه يبقى بصير اي تربيع، وهيتكمل من Zero لغاية
+
+279
+00:30:57,700 --> 00:31:01,640
+Pi على اتنين، طلع هنا قداش عندي لما أخدت اي تربيع
+
+280
+00:31:02,240 --> 00:31:07,020
+واحد ناقص ساين تربية ومين؟ كو ساين تربية تطلع من
+
+281
+00:31:07,020 --> 00:31:12,900
+تحت الجدر بكو ساين وعندي كمان كو ساين يبقى بصير كو
+
+282
+00:31:12,900 --> 00:31:19,930
+ساين تربية ثيتا في دي ثيتاطيب هذا الكلام يساوي
+
+283
+00:31:19,930 --> 00:31:27,030
+اللي هو اربعة ا بي ا تربيع مع ا بتختصر وال cosine
+
+284
+00:31:27,030 --> 00:31:33,430
+تربيع هذه مشانة كاملة بروح اكتبها بدلالة بقى في
+
+285
+00:31:33,430 --> 00:31:40,860
+الزاوية يعني بقى النصفي 1 زائد cos 2θ كله بالنسبة
+
+286
+00:31:40,860 --> 00:31:46,860
+الى dθ يا نص شرفنا برا يبقى يساوي النص مع الأربعة
+
+287
+00:31:46,860 --> 00:31:49,580
+مضى الجداش اتنين
+
+288
+00:31:51,020 --> 00:31:57,900
+وبدنا نكامل تكامل الواحد بثيتا وزاد sin اتنين ثيتا
+
+289
+00:31:57,900 --> 00:32:03,300
+على اتنين والحكي من zero لغاية باي على اتنين يساوي
+
+290
+00:32:03,300 --> 00:32:10,180
+اتنين ا بف ثيتا باي على اتنين هاي باي على اتنين حط
+
+291
+00:32:10,180 --> 00:32:14,560
+هنا باي على اتنين بتروح تامة تقدر ال sign باي جيب
+
+292
+00:32:14,560 --> 00:32:22,030
+ال مية وتمانين مقدش احكواجيب الـ 180، تضرب، تروح
+
+293
+00:32:22,030 --> 00:32:28,910
+اتنين مع اتنين، يبقى الجواب باي في الـ a, b يبقى
+
+294
+00:32:28,910 --> 00:32:38,010
+مساحة الانبس يساوي باي في a, b
+
+295
+00:32:38,010 --> 00:32:44,130
+كل
+
+296
+00:32:44,130 --> 00:32:47,610
+اللي تضرعلي على الآية الحاسبة، معناه تلغي مخك
+
+297
+00:32:51,220 --> 00:32:56,960
+طيب هذا المثال رقم تلاتة ننتقل إلى النقطة الثانية
+
+298
+00:32:56,960 --> 00:33:02,940
+من هذا ال section يبقى النقطة الثانية بتقول ما
+
+299
+00:33:02,940 --> 00:33:07,420
+ياتي اللي هو length of parametrically defined
+
+300
+00:33:07,420 --> 00:33:18,620
+curve يعني طول المنحنة length of parametrically
+
+301
+00:33:19,640 --> 00:33:30,660
+parametrically اللي هو defined curve definition
+
+302
+00:33:30,660 --> 00:33:41,700
+تعريف the length of the curve the length of the
+
+303
+00:33:41,700 --> 00:33:47,580
+curve قول المنحنى c defined
+
+304
+00:33:49,520 --> 00:33:57,280
+define parametrically المعرف
+
+305
+00:33:57,280 --> 00:34:09,420
+بارامتريا by X يساوي ال F of T and ال Y تساوي اللي
+
+306
+00:34:09,420 --> 00:34:14,540
+هو G of T والـ
+
+307
+00:34:14,540 --> 00:34:25,930
+T هذيأقل من B و أكبر من ال A is من عرفك التالي ال
+
+308
+00:34:25,930 --> 00:34:33,030
+length L يسوى تكامل من A إلى B للجدر التربية ل F
+
+309
+00:34:33,030 --> 00:34:41,980
+prime of T لكل تربية زائد G prime على DTالكل
+
+310
+00:34:41,980 --> 00:34:53,040
+تاربيع كله بالنسبة إلى مين إلى ديتى بدنا
+
+311
+00:34:53,040 --> 00:34:57,520
+طول المنحنى المعطى في الصيغة البرامترية طبعا انا
+
+312
+00:34:57,520 --> 00:35:02,900
+في calculus ايه في اخر chapter بجينا نحسب طول
+
+313
+00:35:02,900 --> 00:35:07,280
+المنحنى اذا بنحسب طوله في الصيغة البرامترية كان
+
+314
+00:35:07,280 --> 00:35:12,110
+هناك ان اذا كنت ذاكرينطول المنحلة تكمل من a إلى b
+
+315
+00:35:12,110 --> 00:35:20,170
+لنفس الجذب التربيهي ل1 زائد dy على dx لكل تربية من
+
+316
+00:35:20,170 --> 00:35:28,250
+نسبة a إلى dxوهذا كان تكمل بالنسبة لـY تكمل من C
+
+317
+00:35:28,250 --> 00:35:33,730
+إلى D للجدر التربيه الواحد زي DX على DY كله
+
+318
+00:35:33,730 --> 00:35:39,850
+بالنسبة إلى DY طبعا DX على DY على DX أو DX على DY
+
+319
+00:35:39,850 --> 00:35:46,210
+كله تربيعطيب هذا نفسه بالضبط تماماً بس نظرا لكل
+
+320
+00:35:46,210 --> 00:35:50,250
+واحدة فيهم ال X والY صارت فيه متغير فصار يما
+
+321
+00:35:50,250 --> 00:35:54,610
+الصيغة هذه او الصيغة اللي عندنا هذه يبقى لم نأتي
+
+322
+00:35:54,610 --> 00:36:00,230
+بجديد هو هو تبع calculus ايه بس حطناه في الصيغة ال
+
+323
+00:36:00,230 --> 00:36:04,250
+parameter يعني عشان نفهم هذا الكلام اليك المثال
+
+324
+00:36:04,250 --> 00:36:07,070
+التالي يبقى example
+
+325
+00:36:12,880 --> 00:36:25,280
+Find the length of the curve طول المنحنة المقطعة
+
+326
+00:36:25,280 --> 00:36:35,320
+الشكل التالي X يساوي تمانية cosine T زائد تمانية T
+
+327
+00:36:35,320 --> 00:36:43,570
+في صينة Tوالـ Y تساوي تمانية في الـ sine الـ T
+
+328
+00:36:43,570 --> 00:36:53,430
+ناقص تمانية T في كوسين الـ T والـ T محصورة ما بين
+
+329
+00:36:53,430 --> 00:36:57,570
+الـ Zero وما بين الـ Pi على اتنين
+
+330
+00:37:05,030 --> 00:37:10,650
+إذا مش هنجيب طول المنحنة على الفترة المقطعة بالزمن
+
+331
+00:37:10,650 --> 00:37:17,030
+المشتقة الأولى وربعها او DX على DT وربعها و كذلك
+
+332
+00:37:17,030 --> 00:37:25,070
+DY على DT وربعها يبقى بالداجي هنا ال DX على DT
+
+333
+00:37:25,070 --> 00:37:34,420
+يسبب في المشتقة الأولى تفضل Cosسالب تمانية صين T
+
+334
+00:37:38,630 --> 00:37:47,370
+دالتين يبقى تمانية في صين الـ T زائد تمانية T في
+
+335
+00:37:47,370 --> 00:37:53,310
+تفاضل الصين اللي هو Cos T واحدة سالبة والتانية
+
+336
+00:37:53,310 --> 00:38:00,710
+موجبة مع السلامة يبقى آلة النتيجة إلى تمانية T في
+
+337
+00:38:00,710 --> 00:38:09,940
+Cos Tالان نجي الـ dy على dt ويساوي نجي المعادلة
+
+338
+00:38:09,940 --> 00:38:17,840
+التانية I تمانية تفضل ال sign بcos T ناقص تمانية
+
+339
+00:38:17,840 --> 00:38:20,460
+في cos T
+
+340
+00:38:30,490 --> 00:38:35,950
+تختصر هذه موجب أو هذه سلبة مع السلمة، إذا النتيجة
+
+341
+00:38:35,950 --> 00:38:45,160
+صارت لـ8T في Sine Tجب له المشاقات اذا بروح بحسب له
+
+342
+00:38:45,160 --> 00:38:51,620
+ال length L كتالي بقول له L بيسوي تكامل من Zero
+
+343
+00:38:51,620 --> 00:38:59,460
+لغاية Pi على اتنين للجذر التربيعي لDX على DT لكل
+
+344
+00:38:59,460 --> 00:39:08,020
+تربيع هذه DX على DT لتمانية T كوساين T لكل تربيع
+
+345
+00:39:08,020 --> 00:39:16,440
+زائدالتانية تمنية T Sine T لكل تربيع كله بالنسبة
+
+346
+00:39:16,440 --> 00:39:22,340
+لمن الى DT يبقى هذا بيسوي تكامل من Zero لPi على
+
+347
+00:39:22,340 --> 00:39:30,380
+اتنين للجذر التربيعي لل 64 T تربيع Cos تربيع T
+
+348
+00:39:30,380 --> 00:39:39,110
+زائد 64 T تربيع Sine تربيع Tكل هذا بالنسبة الى
+
+349
+00:39:39,110 --> 00:39:44,170
+main الى DT يبقى هذا الكلام بده يساوي integration
+
+350
+00:39:44,170 --> 00:39:50,770
+من zero ل by على اتنين ل main للجدري التربيعي
+
+351
+00:39:50,770 --> 00:39:57,290
+للأربعة و ستين T تربيع هعمل مشترك من هنا و من هنا
+
+352
+00:39:57,290 --> 00:39:58,230
+كدهش بيظل
+
+353
+00:40:07,320 --> 00:40:13,140
+يبقى النتيجة تساوي تكامل من 0 إلى πاية على اتنين
+
+354
+00:40:13,140 --> 00:40:20,540
+لتمانية T DT الاصل اقول تمانية absolute value ل T
+
+355
+00:40:20,540 --> 00:40:25,040
+صح؟ لكن من 0 إلى πاية على اتنين T بتاخدش الاقيام
+
+356
+00:40:25,040 --> 00:40:30,090
+عنموجود بقية الـ a داعي لل absolute value يبقى هذه
+
+357
+00:40:30,090 --> 00:40:35,530
+تمانية تربيع على اتنين من Zero لغاية Pi على اتنين
+
+358
+00:40:35,530 --> 00:40:44,630
+ويساوي اربعة في Pi على اتنين لكل تربيع ناقص Zero
+
+359
+00:40:44,630 --> 00:40:51,630
+يبقى النتيجة تساوي كدواش Pi تربيع هذا طول المنحنة
+
+360
+00:40:51,630 --> 00:40:59,800
+اللي عندنانعطي كمان مثال مثال اتنين بقول find the
+
+361
+00:40:59,800 --> 00:41:08,520
+length of the asteroid find the length of the
+
+362
+00:41:08,520 --> 00:41:17,920
+asteroid ال asteroid المعطى بالشكل التالياللي هو
+
+363
+00:41:17,920 --> 00:41:29,340
+ال X يساوي cosine تكييب T وال Y يساوي sine تكييب T
+
+364
+00:41:29,340 --> 00:41:36,880
+والT محصورة ما بين ال zero و ما بين main 2π
+
+365
+00:41:49,290 --> 00:41:54,270
+لو حبينا نوريك شكل ال Asteroid فشكل ال Asteroid
+
+366
+00:41:54,270 --> 00:42:01,010
+على الشكل التالي هذا محور X هذا محور Y هذه نقطة
+
+367
+00:42:01,010 --> 00:42:07,870
+الأصل جوس بالشكل هذا بيجيك نفس الجوس بالشكل اللي
+
+368
+00:42:07,870 --> 00:42:16,370
+عندك هذا اك تمام؟ و بيجي طالع بنفس الطريقة هنا و
+
+369
+00:42:16,370 --> 00:42:18,610
+هنا بنفس الطريقة اللي عندنا
+
+370
+00:42:22,930 --> 00:42:28,310
+بهذا الشكل هاد النقطة اللي هي واحد وزيرو هادي زيرو
+
+371
+00:42:28,310 --> 00:42:35,810
+واحد هادي سالب واحد وزيرو هادي زيرو وسالب واحد
+
+372
+00:42:35,810 --> 00:42:40,530
+يبقى هذا شكل ال asteroid اللي عندنا شوفوا يا سيدي
+
+373
+00:42:41,740 --> 00:42:47,000
+الان بيجي بيقول هات لل length of the asteroid يبقى
+
+374
+00:42:47,000 --> 00:42:53,000
+بدى جداش طول الأقواس الأربعة اللى عندنا على الفترة
+
+375
+00:42:53,000 --> 00:42:58,380
+من زي و لغاية اتنين باي يعني باعتبارها دورات كاملة
+
+376
+00:42:58,380 --> 00:43:02,980
+بقوله بسيطة القانون هي عندنا والقاعدة موجودة عندنا
+
+377
+00:43:02,980 --> 00:43:10,270
+اذا بلزم نجداش DX على DT وجداش DY على DTصح صح
+
+378
+00:43:10,270 --> 00:43:18,530
+معايا كويس يبجى احنا بدنا DX على DT هذا كأنه قوس
+
+379
+00:43:18,530 --> 00:43:25,530
+الكل تكيب يبجى باجي بقول الأس في ال cosine تربية T
+
+380
+00:43:25,530 --> 00:43:31,170
+هيك اشتقاكا صح؟ لأ لسه ماجتظروا في مشتقة ال cosine
+
+381
+00:43:31,170 --> 00:43:36,590
+اللي هي السلب sine يبجى اي سلب بده اخليه برا هو
+
+382
+00:43:36,590 --> 00:43:46,180
+هاد ال sine Tبقدر أعبّعها بالمرة يبقى صار DX على
+
+383
+00:43:46,180 --> 00:43:54,660
+DT لكل تربية يساوي تسعة cosine أس اربعة T sin
+
+384
+00:43:54,660 --> 00:44:04,300
+تربية Tبالمثل بدي أجيب له dy على dt يبقى تلاتة sin
+
+385
+00:44:04,300 --> 00:44:12,160
+تربية T في تفاضل الـsin بمين؟ بcos T الرابعة يبقى
+
+386
+00:44:12,160 --> 00:44:25,220
+dy على dt² بدي أسوأ تسعة sin أربعة T cos تربية T
+
+387
+00:44:25,960 --> 00:44:30,160
+بعد ذلك يحتاج ال length تبع ال asteroid يبقى بقول
+
+388
+00:44:30,160 --> 00:44:36,880
+ال length L يساوي تكامل أظن لو جبنا طول القوس هذا
+
+389
+00:44:36,880 --> 00:44:42,420
+هكذا وهذا الغامق وضربناه في أربعة بتم المطلوب مش
+
+390
+00:44:42,420 --> 00:44:49,460
+هكذا يبقى هذا يحتاج يساوي أربعة في تكامل تكامل
+
+391
+00:44:49,460 --> 00:44:58,060
+لماذا؟ للجذر التربيعي لماذا؟DX على DT لكل square
+
+392
+00:44:58,060 --> 00:45:06,740
+اللي هي تسعة cosine أس أربعة T sine تربيع T زائد
+
+393
+00:45:06,740 --> 00:45:17,440
+التانية لتسعة sine أس أربعة T cosine تربيع T كله
+
+394
+00:45:17,440 --> 00:45:24,390
+بالنسبة لمين؟ لـDT بقيت حدود التكامليبقى ال T من
+
+395
+00:45:24,390 --> 00:45:29,570
+Zero لأين؟ للإتنين باي يبقى أنا عندي نص الرابع
+
+396
+00:45:29,570 --> 00:45:36,210
+يبقى من Zero لأين؟ لباية على إتنين يبقى هذه بس من
+
+397
+00:45:36,210 --> 00:45:41,210
+Zero لباية على إتنين يبقى من Zero لباية على إتنين
+
+398
+00:45:41,210 --> 00:45:46,370
+يبقى يساوي أربعة تكمل من Zero لباية على إتنين
+
+399
+00:45:46,370 --> 00:45:52,990
+للجدر التربيهي أظن تسعة عامل مشتركوcos تربيه T عام
+
+400
+00:45:52,990 --> 00:45:58,430
+المشترك بظل
+
+401
+00:45:58,430 --> 00:46:06,690
+cos تربيه T زائد sin تربيه T كله بالنسبة لDTيبقى
+
+402
+00:46:06,690 --> 00:46:11,610
+هذا الكلام اربعة تكمل من zero ل by على اتنين هذا
+
+403
+00:46:11,610 --> 00:46:18,170
+كله بجداش بواحد وهذا يطلع من تحت الجذر بتسعة
+
+404
+00:46:18,170 --> 00:46:27,230
+cosine T sine T dt وهذه تلاتة وليست تسعة
+
+405
+00:46:29,720 --> 00:46:37,760
+طيب هذا بده يطيلك اربعة في تلاتة هيطلعناها برا وهي
+
+406
+00:46:37,760 --> 00:46:44,920
+تكامل من zero ل by على اتنين وهذه عبارة عن sin t
+
+407
+00:46:44,920 --> 00:46:54,380
+مشتقة sin t يعني cos t مع dt هي عبارة عن مشتقة sin
+
+408
+00:46:54,380 --> 00:47:01,320
+t طبعا يبقى هذا الكلام يساوي اتناشرو تكامل الـ
+
+409
+00:47:01,320 --> 00:47:08,600
+sine بسالب cosine T و الحكي من zero لو يقل ل πاي
+
+410
+00:47:08,600 --> 00:47:12,620
+على .. ال sine ترميه على اتنين
+
+411
+00:47:16,520 --> 00:47:25,540
+يبقى هذه اليمين اللي هي ال sign تربيع T على 2 من 0
+
+412
+00:47:25,540 --> 00:47:33,140
+لغاية Pi على 2 يبقى هذه تساوي 6 فيهنعشر على اتنين
+
+413
+00:47:33,140 --> 00:47:38,300
+فيها ستة و ال sign باي على اتنين اللي هو بواحد
+
+414
+00:47:38,300 --> 00:47:43,400
+تربية ناقص sign ال zero ب zero تربية يبقى الجواب
+
+415
+00:47:43,400 --> 00:47:49,640
+يساوي كده؟ يساوي ستة لازلنا في نفس ال section و
+
+416
+00:47:49,640 --> 00:47:55,100
+لما ننتهي بعد لسه ضايل عندنا النقطة الثالثة
+
+417
+00:47:55,100 --> 00:48:00,580
+والاخيرة في هذا ال section للمرة القادمة ان شاء
+
+418
+00:48:00,580 --> 00:48:00,860
+الله
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/gy3tuZaVa5Q_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/gy3tuZaVa5Q_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..0e7c66ade42ed64385743b66e7fe29b26d110c82
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/gy3tuZaVa5Q_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 270, "start": 0.0, "end": 2.7, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3798828025658925, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.003993988037109375, "words": [{"start": 0.0, "end": 2.7, "word": "موسيقى", "probability": 0.73380126953125}], "temperature": 1.0}, {"id": 2, "seek": 3383, "start": 10.55, "end": 33.83, "text": "بسم الله الرحمن الرحيم المرة اللى فتدأنا في section 11-6 و اللى بتحدث عن ال conic sections فى ال cartesian codons يعني القطوع المخروطية فى الإحداثيات الكارتيزية و أخدنا أول قطع اللى هو القطع المكافئة و أخدنا عليه مجموعة من الأمثلة ثم اتعرضنا لجزء النظري تبع ال ellipse", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 13672, 7578, 6156, 2655, 3215, 10721, 8315, 8978, 3541, 2975, 12, 21, 4032, 13672, 7578, 39894, 24401, 12984, 18871, 2423, 416, 299, 10863, 6156, 7578, 2423, 5467, 42434, 17656, 892, 37495, 22653, 25062, 9566, 45367, 9673, 9778, 32887, 9566, 10632, 6156, 7578, 33688, 24401, 5718, 104, 1829, 9307, 33251, 9640, 31371, 11622, 10632, 4032, 5551, 9778, 3215, 8315, 5551, 12610, 12174, 9566, 3615, 13672, 7578, 31439, 25062, 9566, 3615, 9673, 4117, 31845, 19986, 3660, 4032, 5551, 9778, 3215, 8315, 47356, 3714, 7435, 2304, 2407, 27884, 9154, 16247, 2304, 12984, 37977, 38637, 2304, 1975, 2655, 3615, 43042, 8315, 5296, 7435, 11622, 38207, 28239, 19913, 16572, 6055, 3555, 3615, 2423, 8284, 48041], "avg_logprob": -0.18954918496921414, "compression_ratio": 1.7935222672064777, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 10.55, "end": 10.87, "word": "بسم", "probability": 0.77392578125}, {"start": 10.87, "end": 11.07, "word": " الله", "probability": 0.97119140625}, {"start": 11.07, "end": 11.51, "word": " الرحمن", "probability": 0.9724934895833334}, {"start": 11.51, "end": 12.03, "word": " الرحيم", "probability": 0.9939778645833334}, {"start": 12.03, "end": 13.15, "word": " المرة", "probability": 0.6888427734375}, {"start": 13.15, "end": 13.33, "word": " اللى", "probability": 0.77734375}, {"start": 13.33, "end": 14.03, "word": " فتدأنا", "probability": 0.72177734375}, {"start": 14.03, "end": 14.19, "word": " في", "probability": 0.71044921875}, {"start": 14.19, "end": 14.55, "word": " section", "probability": 0.525390625}, {"start": 14.55, "end": 15.09, "word": " 11", "probability": 0.8798828125}, {"start": 15.09, "end": 15.87, "word": "-6", "probability": 0.630126953125}, {"start": 15.87, "end": 16.55, "word": " و", "probability": 0.406494140625}, {"start": 16.55, "end": 16.67, "word": " اللى", "probability": 0.8984375}, {"start": 16.67, "end": 17.23, "word": " بتحدث", "probability": 0.9415690104166666}, {"start": 17.23, "end": 17.41, "word": " عن", "probability": 0.99267578125}, {"start": 17.41, "end": 17.59, "word": " ال", "probability": 0.95703125}, {"start": 17.59, "end": 18.01, "word": " conic", "probability": 0.5980224609375}, {"start": 18.01, "end": 18.83, "word": " sections", "probability": 0.90185546875}, {"start": 18.83, "end": 19.39, "word": " فى", "probability": 0.761474609375}, {"start": 19.39, "end": 19.51, "word": " ال", "probability": 0.9033203125}, {"start": 19.51, "end": 20.15, "word": " cartesian", "probability": 0.6024169921875}, {"start": 20.15, "end": 20.85, "word": " codons", "probability": 0.679443359375}, {"start": 20.85, "end": 21.07, "word": " يعني", "probability": 0.76318359375}, {"start": 21.07, "end": 21.67, "word": " القطوع", "probability": 0.7977701822916666}, {"start": 21.67, "end": 23.13, "word": " المخروطية", "probability": 0.9037109375}, {"start": 23.13, "end": 23.31, "word": " فى", "probability": 0.9423828125}, {"start": 23.31, "end": 24.15, "word": " الإحداثيات", "probability": 0.837890625}, {"start": 24.15, "end": 25.23, "word": " الكارتيزية", "probability": 0.84736328125}, {"start": 25.23, "end": 25.87, "word": " و", "probability": 0.89501953125}, {"start": 25.87, "end": 26.29, "word": " أخدنا", "probability": 0.9222412109375}, {"start": 26.29, "end": 26.51, "word": " أول", "probability": 0.8837890625}, {"start": 26.51, "end": 26.91, "word": " قطع", "probability": 0.8385416666666666}, {"start": 26.91, "end": 27.05, "word": " اللى", "probability": 0.89111328125}, {"start": 27.05, "end": 27.15, "word": " هو", "probability": 0.2861328125}, {"start": 27.15, "end": 27.47, "word": " القطع", "probability": 0.9845377604166666}, {"start": 27.47, "end": 28.05, "word": " المكافئة", "probability": 0.852099609375}, {"start": 28.05, "end": 28.15, "word": " و", "probability": 0.97607421875}, {"start": 28.15, "end": 28.45, "word": " أخدنا", "probability": 0.964111328125}, {"start": 28.45, "end": 28.65, "word": " عليه", "probability": 0.9716796875}, {"start": 28.65, "end": 29.13, "word": " مجموعة", "probability": 0.9361328125}, {"start": 29.13, "end": 29.27, "word": " من", "probability": 0.97900390625}, {"start": 29.27, "end": 29.85, "word": " الأمثلة", "probability": 0.983642578125}, {"start": 29.85, "end": 30.51, "word": " ثم", "probability": 0.974365234375}, {"start": 30.51, "end": 31.11, "word": " اتعرضنا", "probability": 0.90537109375}, {"start": 31.11, "end": 31.63, "word": " لجزء", "probability": 0.9835205078125}, {"start": 31.63, "end": 32.23, "word": " النظري", "probability": 0.8702799479166666}, {"start": 32.23, "end": 32.89, "word": " تبع", "probability": 0.9423828125}, {"start": 32.89, "end": 33.31, "word": " ال", "probability": 0.974609375}, {"start": 33.31, "end": 33.83, "word": " ellipse", "probability": 0.868896484375}], "temperature": 1.0}, {"id": 3, "seek": 4968, "start": 34.2, "end": 49.68, "text": "اللي هو القطع الناقص فكانت المعادلة تبعته على الشكل X تربيع على A تربيع زيد Y تربيع على B تربيع تسوى واحد والمعادلة المرافقة كانت B يسوى الجدر التربيع إلى A تربيع", "tokens": [6027, 20292, 31439, 25062, 9566, 3615, 28239, 995, 4587, 9381, 6156, 41361, 2655, 9673, 3615, 18513, 37977, 6055, 3555, 34268, 3224, 15844, 25124, 28820, 1783, 6055, 2288, 21292, 3615, 15844, 316, 6055, 2288, 21292, 3615, 30767, 25708, 398, 6055, 2288, 21292, 3615, 15844, 363, 6055, 2288, 21292, 3615, 6055, 3794, 2407, 7578, 36764, 24401, 16070, 2304, 3615, 18513, 37977, 9673, 23557, 5172, 28671, 25961, 2655, 363, 7251, 3794, 2407, 7578, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 30731, 316, 6055, 2288, 21292, 3615], "avg_logprob": -0.20833332925325349, "compression_ratio": 1.9523809523809523, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 34.2, "end": 34.48, "word": "اللي", "probability": 0.141754150390625}, {"start": 34.48, "end": 34.64, "word": " هو", "probability": 0.955078125}, {"start": 34.64, "end": 35.08, "word": " القطع", "probability": 0.9208984375}, {"start": 35.08, "end": 35.64, "word": " الناقص", "probability": 0.7945556640625}, {"start": 35.64, "end": 36.26, "word": " فكانت", "probability": 0.9016927083333334}, {"start": 36.26, "end": 36.92, "word": " المعادلة", "probability": 0.984375}, {"start": 36.92, "end": 37.54, "word": " تبعته", "probability": 0.9005126953125}, {"start": 37.54, "end": 37.76, "word": " على", "probability": 0.8251953125}, {"start": 37.76, "end": 38.38, "word": " الشكل", "probability": 0.96240234375}, {"start": 38.38, "end": 38.84, "word": " X", "probability": 0.478759765625}, {"start": 38.84, "end": 39.42, "word": " تربيع", "probability": 0.7008056640625}, {"start": 39.42, "end": 39.7, "word": " على", "probability": 0.7080078125}, {"start": 39.7, "end": 39.88, "word": " A", "probability": 0.8505859375}, {"start": 39.88, "end": 40.52, "word": " تربيع", "probability": 0.9150390625}, {"start": 40.52, "end": 41.34, "word": " زيد", "probability": 0.3673095703125}, {"start": 41.34, "end": 41.54, "word": " Y", "probability": 0.9189453125}, {"start": 41.54, "end": 42.12, "word": " تربيع", "probability": 0.940185546875}, {"start": 42.12, "end": 42.36, "word": " على", "probability": 0.82177734375}, {"start": 42.36, "end": 42.58, "word": " B", "probability": 0.77783203125}, {"start": 42.58, "end": 43.1, "word": " تربيع", "probability": 0.9425048828125}, {"start": 43.1, "end": 43.62, "word": " تسوى", "probability": 0.7470703125}, {"start": 43.62, "end": 44.1, "word": " واحد", "probability": 0.928466796875}, {"start": 44.1, "end": 45.38, "word": " والمعادلة", "probability": 0.93662109375}, {"start": 45.38, "end": 46.24, "word": " المرافقة", "probability": 0.987548828125}, {"start": 46.24, "end": 46.86, "word": " كانت", "probability": 0.948486328125}, {"start": 46.86, "end": 47.08, "word": " B", "probability": 0.5146484375}, {"start": 47.08, "end": 47.64, "word": " يسوى", "probability": 0.932861328125}, {"start": 47.64, "end": 48.02, "word": " الجدر", "probability": 0.9441731770833334}, {"start": 48.02, "end": 48.64, "word": " التربيع", "probability": 0.8236083984375}, {"start": 48.64, "end": 48.84, "word": " إلى", "probability": 0.58203125}, {"start": 48.84, "end": 49.06, "word": " A", "probability": 0.98291015625}, {"start": 49.06, "end": 49.68, "word": " تربيع", "probability": 0.942138671875}], "temperature": 1.0}, {"id": 4, "seek": 7323, "start": 49.98, "end": 73.24, "text": "نقص C تربيع يبقى هذه المعادلة في صورتها العمب نبدأ نطبق المعلومات اللي عندنا هذه بقول هات ال standard form equation شكل المعادلة تبعت ال ellipse اللي البقرتين zero وزاد او ناقص اربعة والرأسين zero وزاد او ناقص خمسة", "tokens": [1863, 4587, 9381, 383, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 29538, 9673, 3615, 18513, 37977, 8978, 20328, 13063, 2655, 11296, 18863, 2304, 3555, 8717, 44510, 10721, 8717, 9566, 3555, 4587, 9673, 30241, 20498, 9307, 13672, 1829, 43242, 8315, 29538, 4724, 39648, 8032, 9307, 2423, 3832, 1254, 5367, 13412, 28820, 9673, 3615, 18513, 37977, 6055, 3555, 34268, 2423, 8284, 48041, 13672, 1829, 29739, 4587, 43500, 9957, 4018, 4032, 11622, 18513, 1975, 2407, 8717, 995, 4587, 9381, 1975, 25513, 27884, 16070, 2288, 10721, 3794, 9957, 4018, 4032, 11622, 18513, 1975, 2407, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660], "avg_logprob": -0.23546875163912773, "compression_ratio": 1.7019230769230769, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 49.98, "end": 50.88, "word": "نقص", "probability": 0.63818359375}, {"start": 50.88, "end": 51.3, "word": " C", "probability": 0.1832275390625}, {"start": 51.3, "end": 52.12, "word": " تربيع", "probability": 0.7261962890625}, {"start": 52.12, "end": 52.94, "word": " يبقى", "probability": 0.8681640625}, {"start": 52.94, "end": 53.12, "word": " هذه", "probability": 0.5380859375}, {"start": 53.12, "end": 53.7, "word": " المعادلة", "probability": 0.9864501953125}, {"start": 53.7, "end": 53.86, "word": " في", "probability": 0.875}, {"start": 53.86, "end": 54.62, "word": " صورتها", "probability": 0.99072265625}, {"start": 54.62, "end": 55.34, "word": " العمب", "probability": 0.9342447916666666}, {"start": 55.34, "end": 55.9, "word": " نبدأ", "probability": 0.7247721354166666}, {"start": 55.9, "end": 56.56, "word": " نطبق", "probability": 0.8687744140625}, {"start": 56.56, "end": 57.7, "word": " المعلومات", "probability": 0.9638671875}, {"start": 57.7, "end": 58.0, "word": " اللي", "probability": 0.721923828125}, {"start": 58.0, "end": 58.5, "word": " عندنا", "probability": 0.964599609375}, {"start": 58.5, "end": 58.96, "word": " هذه", "probability": 0.65087890625}, {"start": 58.96, "end": 59.92, "word": " بقول", "probability": 0.628173828125}, {"start": 59.92, "end": 60.22, "word": " هات", "probability": 0.5242919921875}, {"start": 60.22, "end": 60.34, "word": " ال", "probability": 0.83837890625}, {"start": 60.34, "end": 60.76, "word": " standard", "probability": 0.78466796875}, {"start": 60.76, "end": 61.32, "word": " form", "probability": 0.8115234375}, {"start": 61.32, "end": 61.9, "word": " equation", "probability": 0.95751953125}, {"start": 61.9, "end": 62.52, "word": " شكل", "probability": 0.949462890625}, {"start": 62.52, "end": 63.26, "word": " المعادلة", "probability": 0.9783935546875}, {"start": 63.26, "end": 63.68, "word": " تبعت", "probability": 0.7847493489583334}, {"start": 63.68, "end": 63.84, "word": " ال", "probability": 0.9541015625}, {"start": 63.84, "end": 64.34, "word": " ellipse", "probability": 0.864990234375}, {"start": 64.34, "end": 65.08, "word": " اللي", "probability": 0.6495361328125}, {"start": 65.08, "end": 66.34, "word": " البقرتين", "probability": 0.77886962890625}, {"start": 66.34, "end": 67.14, "word": " zero", "probability": 0.38720703125}, {"start": 67.14, "end": 67.84, "word": " وزاد", "probability": 0.81298828125}, {"start": 67.84, "end": 67.98, "word": " او", "probability": 0.7197265625}, {"start": 67.98, "end": 68.36, "word": " ناقص", "probability": 0.9769287109375}, {"start": 68.36, "end": 68.78, "word": " اربعة", "probability": 0.7521158854166666}, {"start": 68.78, "end": 69.82, "word": " والرأسين", "probability": 0.805908203125}, {"start": 69.82, "end": 70.74, "word": " zero", "probability": 0.5625}, {"start": 70.74, "end": 71.44, "word": " وزاد", "probability": 0.9440104166666666}, {"start": 71.44, "end": 71.7, "word": " او", "probability": 0.973876953125}, {"start": 71.7, "end": 72.46, "word": " ناقص", "probability": 0.99365234375}, {"start": 72.46, "end": 73.24, "word": " خمسة", "probability": 0.9686279296875}], "temperature": 1.0}, {"id": 5, "seek": 9870, "start": 74.16, "end": 98.7, "text": "طبعا قلنا هذا الشكل إذا a أكبر من ال b يبقى ال major axis هو محور x إذا b أكبر من a يبقى ال major axis هو main هو محور y بناء عليه لو حبينا نرسم الرسم اللي عندنا هذه فبجيب اقول هي المحاور هذا محور x هذا محور y هذا نقطة الاصل اللي هو zero", "tokens": [9566, 3555, 3615, 995, 12174, 1211, 8315, 23758, 25124, 28820, 11933, 15730, 257, 5551, 4117, 26890, 9154, 2423, 272, 7251, 3555, 4587, 7578, 2423, 2563, 10298, 31439, 3714, 5016, 13063, 2031, 11933, 15730, 272, 5551, 4117, 26890, 9154, 257, 7251, 3555, 4587, 7578, 2423, 2563, 10298, 31439, 2135, 31439, 3714, 5016, 13063, 288, 44945, 16606, 47356, 45164, 11331, 21292, 8315, 8717, 2288, 38251, 34892, 38251, 13672, 1829, 43242, 8315, 29538, 6156, 3555, 7435, 1829, 3555, 1975, 39648, 39896, 9673, 5016, 995, 13063, 23758, 3714, 5016, 13063, 2031, 23758, 3714, 5016, 13063, 288, 23758, 8717, 47432, 3660, 2423, 33546, 1211, 13672, 1829, 31439, 4018], "avg_logprob": -0.19561297976626799, "compression_ratio": 1.925, "no_speech_prob": 0.0, "words": [{"start": 74.16, "end": 74.72, "word": "طبعا", "probability": 0.80999755859375}, {"start": 74.72, "end": 75.54, "word": " قلنا", "probability": 0.7110188802083334}, {"start": 75.54, "end": 75.92, "word": " هذا", "probability": 0.720703125}, {"start": 75.92, "end": 76.38, "word": " الشكل", "probability": 0.972900390625}, {"start": 76.38, "end": 76.82, "word": " إذا", "probability": 0.741943359375}, {"start": 76.82, "end": 77.24, "word": " a", "probability": 0.4580078125}, {"start": 77.24, "end": 78.16, "word": " أكبر", "probability": 0.94287109375}, {"start": 78.16, "end": 78.54, "word": " من", "probability": 0.98046875}, {"start": 78.54, "end": 78.84, "word": " ال", "probability": 0.400390625}, {"start": 78.84, "end": 79.18, "word": " b", "probability": 0.56201171875}, {"start": 79.18, "end": 79.88, "word": " يبقى", "probability": 0.9427490234375}, {"start": 79.88, "end": 79.96, "word": " ال", "probability": 0.60595703125}, {"start": 79.96, "end": 80.22, "word": " major", "probability": 0.7724609375}, {"start": 80.22, "end": 80.66, "word": " axis", "probability": 0.982421875}, {"start": 80.66, "end": 80.92, "word": " هو", "probability": 0.7763671875}, {"start": 80.92, "end": 81.34, "word": " محور", "probability": 0.9168294270833334}, {"start": 81.34, "end": 81.72, "word": " x", "probability": 0.6611328125}, {"start": 81.72, "end": 82.42, "word": " إذا", "probability": 0.798828125}, {"start": 82.42, "end": 82.74, "word": " b", "probability": 0.7880859375}, {"start": 82.74, "end": 83.44, "word": " أكبر", "probability": 0.9777018229166666}, {"start": 83.44, "end": 83.68, "word": " من", "probability": 0.99462890625}, {"start": 83.68, "end": 83.9, "word": " a", "probability": 0.9775390625}, {"start": 83.9, "end": 84.14, "word": " يبقى", "probability": 0.98876953125}, {"start": 84.14, "end": 84.24, "word": " ال", "probability": 0.91845703125}, {"start": 84.24, "end": 84.5, "word": " major", "probability": 0.94287109375}, {"start": 84.5, "end": 84.9, "word": " axis", "probability": 0.9736328125}, {"start": 84.9, "end": 85.18, "word": " هو", "probability": 0.9541015625}, {"start": 85.18, "end": 85.48, "word": " main", "probability": 0.3056640625}, {"start": 85.48, "end": 85.96, "word": " هو", "probability": 0.81201171875}, {"start": 85.96, "end": 86.68, "word": " محور", "probability": 0.97900390625}, {"start": 86.68, "end": 87.2, "word": " y", "probability": 0.83056640625}, {"start": 87.2, "end": 88.18, "word": " بناء", "probability": 0.798095703125}, {"start": 88.18, "end": 88.48, "word": " عليه", "probability": 0.3330078125}, {"start": 88.48, "end": 88.7, "word": " لو", "probability": 0.95263671875}, {"start": 88.7, "end": 89.2, "word": " حبينا", "probability": 0.9490559895833334}, {"start": 89.2, "end": 89.6, "word": " نرسم", "probability": 0.9889322916666666}, {"start": 89.6, "end": 90.1, "word": " الرسم", "probability": 0.949462890625}, {"start": 90.1, "end": 90.36, "word": " اللي", "probability": 0.748291015625}, {"start": 90.36, "end": 90.82, "word": " عندنا", "probability": 0.99169921875}, {"start": 90.82, "end": 91.12, "word": " هذه", "probability": 0.62744140625}, {"start": 91.12, "end": 91.68, "word": " فبجيب", "probability": 0.812109375}, {"start": 91.68, "end": 91.96, "word": " اقول", "probability": 0.6219482421875}, {"start": 91.96, "end": 92.16, "word": " هي", "probability": 0.62255859375}, {"start": 92.16, "end": 93.0, "word": " المحاور", "probability": 0.9854736328125}, {"start": 93.0, "end": 93.76, "word": " هذا", "probability": 0.51416015625}, {"start": 93.76, "end": 94.34, "word": " محور", "probability": 0.9884440104166666}, {"start": 94.34, "end": 94.8, "word": " x", "probability": 0.822265625}, {"start": 94.8, "end": 95.48, "word": " هذا", "probability": 0.8115234375}, {"start": 95.48, "end": 96.08, "word": " محور", "probability": 0.98828125}, {"start": 96.08, "end": 96.48, "word": " y", "probability": 0.95947265625}, {"start": 96.48, "end": 97.04, "word": " هذا", "probability": 0.5791015625}, {"start": 97.04, "end": 97.5, "word": " نقطة", "probability": 0.986328125}, {"start": 97.5, "end": 98.04, "word": " الاصل", "probability": 0.774658203125}, {"start": 98.04, "end": 98.28, "word": " اللي", "probability": 0.9033203125}, {"start": 98.28, "end": 98.44, "word": " هو", "probability": 0.84228515625}, {"start": 98.44, "end": 98.7, "word": " zero", "probability": 0.6474609375}], "temperature": 1.0}, {"id": 6, "seek": 11482, "start": 99.34, "end": 114.82, "text": "قال للبقراتين 0 4 و 0 سالب 4 فلو قلت هذه هي النقطة 0 4 النقطة التانية اللي هي 0 و سالب 4 بالشكل هذا البقرتين الراسين 0 5", "tokens": [4587, 6027, 24976, 3555, 4587, 2288, 9307, 9957, 1958, 1017, 4032, 1958, 8608, 6027, 3555, 1017, 6156, 1211, 2407, 12174, 1211, 2655, 29538, 39896, 28239, 47432, 3660, 1958, 1017, 28239, 47432, 3660, 16712, 7649, 10632, 13672, 1829, 39896, 1958, 4032, 8608, 6027, 3555, 1017, 20666, 8592, 28820, 23758, 29739, 4587, 43500, 9957, 34892, 32277, 9957, 1958, 1025], "avg_logprob": -0.3644935206092637, "compression_ratio": 1.6974789915966386, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 99.34, "end": 99.76, "word": "قال", "probability": 0.51531982421875}, {"start": 99.76, "end": 100.56, "word": " للبقراتين", "probability": 0.6510009765625}, {"start": 100.56, "end": 100.86, "word": " 0", "probability": 0.08734130859375}, {"start": 100.86, "end": 101.32, "word": " 4", "probability": 0.61181640625}, {"start": 101.32, "end": 101.52, "word": " و", "probability": 0.51806640625}, {"start": 101.52, "end": 101.74, "word": " 0", "probability": 0.662109375}, {"start": 101.74, "end": 102.32, "word": " سالب", "probability": 0.6337483723958334}, {"start": 102.32, "end": 102.72, "word": " 4", "probability": 0.7392578125}, {"start": 102.72, "end": 103.6, "word": " فلو", "probability": 0.8347981770833334}, {"start": 103.6, "end": 103.98, "word": " قلت", "probability": 0.9435221354166666}, {"start": 103.98, "end": 104.34, "word": " هذه", "probability": 0.86474609375}, {"start": 104.34, "end": 104.64, "word": " هي", "probability": 0.7138671875}, {"start": 104.64, "end": 105.2, "word": " النقطة", "probability": 0.8779296875}, {"start": 105.2, "end": 105.52, "word": " 0", "probability": 0.52783203125}, {"start": 105.52, "end": 106.12, "word": " 4", "probability": 0.96533203125}, {"start": 106.12, "end": 107.28, "word": " النقطة", "probability": 0.9249674479166666}, {"start": 107.28, "end": 107.94, "word": " التانية", "probability": 0.9365234375}, {"start": 107.94, "end": 108.34, "word": " اللي", "probability": 0.46258544921875}, {"start": 108.34, "end": 108.5, "word": " هي", "probability": 0.93896484375}, {"start": 108.5, "end": 109.04, "word": " 0", "probability": 0.72802734375}, {"start": 109.04, "end": 109.44, "word": " و", "probability": 0.84375}, {"start": 109.44, "end": 110.0, "word": " سالب", "probability": 0.8728841145833334}, {"start": 110.0, "end": 110.36, "word": " 4", "probability": 0.970703125}, {"start": 110.36, "end": 110.88, "word": " بالشكل", "probability": 0.9344075520833334}, {"start": 110.88, "end": 111.26, "word": " هذا", "probability": 0.96484375}, {"start": 111.26, "end": 112.68, "word": " البقرتين", "probability": 0.6201171875}, {"start": 112.68, "end": 113.84, "word": " الراسين", "probability": 0.9049479166666666}, {"start": 113.84, "end": 114.2, "word": " 0", "probability": 0.888671875}, {"start": 114.2, "end": 114.82, "word": " 5", "probability": 0.76318359375}], "temperature": 1.0}, {"id": 7, "seek": 13515, "start": 115.35, "end": 135.15, "text": "يبقى هذا zero وخمسة بالشكل اللي عندنا هذا يبقى هذه كمان zero و سالب خمسة هذه zero وخمسة يبقى أصبح ال ellipse على الشكل اللي عندنا هذا بهذا الشكل يبقى شباب عندي", "tokens": [1829, 3555, 4587, 7578, 23758, 4018, 4032, 9778, 2304, 3794, 3660, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 29538, 9122, 2304, 7649, 4018, 4032, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 29538, 4018, 4032, 9778, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 5551, 9381, 49628, 2423, 8284, 48041, 15844, 25124, 28820, 13672, 1829, 43242, 8315, 23758, 39627, 15730, 25124, 28820, 7251, 3555, 4587, 7578, 13412, 3555, 16758, 18871, 16254], "avg_logprob": -0.16302083770434062, "compression_ratio": 1.9280575539568345, "no_speech_prob": 0.0, "words": [{"start": 115.35, "end": 115.83, "word": "يبقى", "probability": 0.77618408203125}, {"start": 115.83, "end": 116.15, "word": " هذا", "probability": 0.499267578125}, {"start": 116.15, "end": 116.63, "word": " zero", "probability": 0.1773681640625}, {"start": 116.63, "end": 117.95, "word": " وخمسة", "probability": 0.89921875}, {"start": 117.95, "end": 118.41, "word": " بالشكل", "probability": 0.96435546875}, {"start": 118.41, "end": 118.55, "word": " اللي", "probability": 0.83154296875}, {"start": 118.55, "end": 118.87, "word": " عندنا", "probability": 0.92236328125}, {"start": 118.87, "end": 119.25, "word": " هذا", "probability": 0.86279296875}, {"start": 119.25, "end": 120.01, "word": " يبقى", "probability": 0.92529296875}, {"start": 120.01, "end": 120.29, "word": " هذه", "probability": 0.55615234375}, {"start": 120.29, "end": 120.83, "word": " كمان", "probability": 0.9576822916666666}, {"start": 120.83, "end": 121.39, "word": " zero", "probability": 0.8251953125}, {"start": 121.39, "end": 121.93, "word": " و", "probability": 0.8984375}, {"start": 121.93, "end": 122.67, "word": " سالب", "probability": 0.76025390625}, {"start": 122.67, "end": 123.45, "word": " خمسة", "probability": 0.9932861328125}, {"start": 123.45, "end": 124.07, "word": " هذه", "probability": 0.69921875}, {"start": 124.07, "end": 124.59, "word": " zero", "probability": 0.78955078125}, {"start": 124.59, "end": 125.79, "word": " وخمسة", "probability": 0.923828125}, {"start": 125.79, "end": 126.47, "word": " يبقى", "probability": 0.9830322265625}, {"start": 126.47, "end": 127.01, "word": " أصبح", "probability": 0.9539388020833334}, {"start": 127.01, "end": 127.23, "word": " ال", "probability": 0.96923828125}, {"start": 127.23, "end": 127.77, "word": " ellipse", "probability": 0.846435546875}, {"start": 127.77, "end": 128.45, "word": " على", "probability": 0.84375}, {"start": 128.45, "end": 129.03, "word": " الشكل", "probability": 0.98046875}, {"start": 129.03, "end": 129.25, "word": " اللي", "probability": 0.9853515625}, {"start": 129.25, "end": 129.79, "word": " عندنا", "probability": 0.984130859375}, {"start": 129.79, "end": 130.15, "word": " هذا", "probability": 0.93994140625}, {"start": 130.15, "end": 130.97, "word": " بهذا", "probability": 0.864013671875}, {"start": 130.97, "end": 131.73, "word": " الشكل", "probability": 0.990478515625}, {"start": 131.73, "end": 134.19, "word": " يبقى", "probability": 0.81683349609375}, {"start": 134.19, "end": 134.61, "word": " شباب", "probability": 0.8720703125}, {"start": 134.61, "end": 135.15, "word": " عندي", "probability": 0.84326171875}], "temperature": 1.0}, {"id": 8, "seek": 15422, "start": 136.38, "end": 154.22, "text": "الـ C تساوي كماش؟ الاربع، اللي هو المسافة من الـ Center لغاية الـ Focus والـ A تساوي خمسة، اللي هي المسافة من الـ Center لغاية الـ Vertex عند A و C، أنا مش هنجيب له المعادلة، بدي A و B", "tokens": [6027, 39184, 383, 6055, 3794, 995, 45865, 9122, 2304, 33599, 22807, 2423, 9640, 3555, 3615, 12399, 13672, 1829, 31439, 9673, 3794, 31845, 3660, 9154, 2423, 39184, 5169, 5296, 17082, 995, 10632, 2423, 39184, 21862, 16070, 39184, 316, 6055, 3794, 995, 45865, 16490, 2304, 3794, 3660, 12399, 13672, 1829, 39896, 9673, 3794, 31845, 3660, 9154, 2423, 39184, 5169, 5296, 17082, 995, 10632, 2423, 39184, 21044, 3121, 43242, 316, 4032, 383, 12399, 41850, 37893, 8032, 1863, 7435, 1829, 3555, 46740, 9673, 3615, 18513, 37977, 12399, 4724, 16254, 316, 4032, 363], "avg_logprob": -0.24806881754585866, "compression_ratio": 1.7647058823529411, "no_speech_prob": 0.0, "words": [{"start": 136.38, "end": 136.64, "word": "الـ", "probability": 0.5111083984375}, {"start": 136.64, "end": 136.88, "word": " C", "probability": 0.55322265625}, {"start": 136.88, "end": 137.44, "word": " تساوي", "probability": 0.66802978515625}, {"start": 137.44, "end": 138.62, "word": " كماش؟", "probability": 0.5489501953125}, {"start": 138.62, "end": 139.36, "word": " الاربع،", "probability": 0.58759765625}, {"start": 139.36, "end": 139.42, "word": " اللي", "probability": 0.6236572265625}, {"start": 139.42, "end": 139.52, "word": " هو", "probability": 0.8466796875}, {"start": 139.52, "end": 140.1, "word": " المسافة", "probability": 0.9775390625}, {"start": 140.1, "end": 140.3, "word": " من", "probability": 0.98388671875}, {"start": 140.3, "end": 140.52, "word": " الـ", "probability": 0.6417236328125}, {"start": 140.52, "end": 140.96, "word": " Center", "probability": 0.49462890625}, {"start": 140.96, "end": 141.88, "word": " لغاية", "probability": 0.98193359375}, {"start": 141.88, "end": 142.12, "word": " الـ", "probability": 0.808837890625}, {"start": 142.12, "end": 142.58, "word": " Focus", "probability": 0.7666015625}, {"start": 142.58, "end": 143.66, "word": " والـ", "probability": 0.742919921875}, {"start": 143.66, "end": 143.9, "word": " A", "probability": 0.93896484375}, {"start": 143.9, "end": 144.56, "word": " تساوي", "probability": 0.9755859375}, {"start": 144.56, "end": 145.56, "word": " خمسة،", "probability": 0.8755859375}, {"start": 145.56, "end": 145.78, "word": " اللي", "probability": 0.992919921875}, {"start": 145.78, "end": 145.88, "word": " هي", "probability": 0.92529296875}, {"start": 145.88, "end": 146.54, "word": " المسافة", "probability": 0.992919921875}, {"start": 146.54, "end": 146.7, "word": " من", "probability": 0.9931640625}, {"start": 146.7, "end": 146.96, "word": " الـ", "probability": 0.943115234375}, {"start": 146.96, "end": 147.4, "word": " Center", "probability": 0.90478515625}, {"start": 147.4, "end": 148.38, "word": " لغاية", "probability": 0.9952392578125}, {"start": 148.38, "end": 148.78, "word": " الـ", "probability": 0.918701171875}, {"start": 148.78, "end": 149.42, "word": " Vertex", "probability": 0.88427734375}, {"start": 149.42, "end": 150.12, "word": " عند", "probability": 0.55224609375}, {"start": 150.12, "end": 150.42, "word": " A", "probability": 0.91064453125}, {"start": 150.42, "end": 150.6, "word": " و", "probability": 0.6396484375}, {"start": 150.6, "end": 151.08, "word": " C،", "probability": 0.58056640625}, {"start": 151.08, "end": 151.2, "word": " أنا", "probability": 0.74658203125}, {"start": 151.2, "end": 151.36, "word": " مش", "probability": 0.54638671875}, {"start": 151.36, "end": 151.82, "word": " هنجيب", "probability": 0.89677734375}, {"start": 151.82, "end": 151.92, "word": " له", "probability": 0.54443359375}, {"start": 151.92, "end": 152.66, "word": " المعادلة،", "probability": 0.84755859375}, {"start": 152.66, "end": 152.94, "word": " بدي", "probability": 0.761474609375}, {"start": 152.94, "end": 153.58, "word": " A", "probability": 0.943359375}, {"start": 153.58, "end": 153.9, "word": " و", "probability": 0.9833984375}, {"start": 153.9, "end": 154.22, "word": " B", "probability": 0.748046875}], "temperature": 1.0}, {"id": 9, "seek": 17421, "start": 154.81, "end": 174.21, "text": "ببجيبها من وين من العلاقة اللى عندنا هذه اذا بروح بقوله بي تساوي الجدرى التربية الى ال a تربية ناقص c تربية ال a تربية خمسة وعشرين ال c تربية الستة عشر يبقى الجدرى التسعة اللى يبقى داشر بتلاتة", "tokens": [3555, 3555, 7435, 1829, 3555, 11296, 9154, 4032, 9957, 9154, 18863, 15040, 28671, 13672, 7578, 43242, 8315, 29538, 1975, 15730, 4724, 32887, 5016, 4724, 39648, 3224, 4724, 1829, 6055, 3794, 995, 45865, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 2423, 7578, 2423, 257, 6055, 25513, 10632, 8717, 995, 4587, 9381, 269, 6055, 25513, 10632, 2423, 257, 6055, 25513, 10632, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 2423, 269, 6055, 25513, 10632, 21136, 2655, 3660, 6225, 46309, 7251, 3555, 4587, 7578, 25724, 3215, 2288, 7578, 16712, 3794, 27884, 13672, 7578, 7251, 3555, 4587, 7578, 11778, 33599, 2288, 4724, 2655, 1211, 9307, 3660], "avg_logprob": -0.23058251790630008, "compression_ratio": 2.0357142857142856, "no_speech_prob": 0.0, "words": [{"start": 154.81, "end": 155.67, "word": "ببجيبها", "probability": 0.6905415852864584}, {"start": 155.67, "end": 155.85, "word": " من", "probability": 0.9609375}, {"start": 155.85, "end": 156.19, "word": " وين", "probability": 0.636474609375}, {"start": 156.19, "end": 156.43, "word": " من", "probability": 0.7470703125}, {"start": 156.43, "end": 156.99, "word": " العلاقة", "probability": 0.9514973958333334}, {"start": 156.99, "end": 157.19, "word": " اللى", "probability": 0.770263671875}, {"start": 157.19, "end": 157.59, "word": " عندنا", "probability": 0.86767578125}, {"start": 157.59, "end": 157.97, "word": " هذه", "probability": 0.6162109375}, {"start": 157.97, "end": 158.61, "word": " اذا", "probability": 0.619873046875}, {"start": 158.61, "end": 159.03, "word": " بروح", "probability": 0.9739583333333334}, {"start": 159.03, "end": 159.75, "word": " بقوله", "probability": 0.8107096354166666}, {"start": 159.75, "end": 160.19, "word": " بي", "probability": 0.6552734375}, {"start": 160.19, "end": 160.97, "word": " تساوي", "probability": 0.910400390625}, {"start": 160.97, "end": 161.59, "word": " الجدرى", "probability": 0.77825927734375}, {"start": 161.59, "end": 162.23, "word": " التربية", "probability": 0.8883463541666666}, {"start": 162.23, "end": 162.55, "word": " الى", "probability": 0.7117919921875}, {"start": 162.55, "end": 162.79, "word": " ال", "probability": 0.73681640625}, {"start": 162.79, "end": 162.95, "word": " a", "probability": 0.3681640625}, {"start": 162.95, "end": 163.61, "word": " تربية", "probability": 0.9318033854166666}, {"start": 163.61, "end": 164.67, "word": " ناقص", "probability": 0.8419189453125}, {"start": 164.67, "end": 164.93, "word": " c", "probability": 0.80078125}, {"start": 164.93, "end": 165.65, "word": " تربية", "probability": 0.9695638020833334}, {"start": 165.65, "end": 166.21, "word": " ال", "probability": 0.9208984375}, {"start": 166.21, "end": 166.43, "word": " a", "probability": 0.900390625}, {"start": 166.43, "end": 166.93, "word": " تربية", "probability": 0.9806315104166666}, {"start": 166.93, "end": 167.53, "word": " خمسة", "probability": 0.9111328125}, {"start": 167.53, "end": 168.19, "word": " وعشرين", "probability": 0.90185546875}, {"start": 168.19, "end": 168.77, "word": " ال", "probability": 0.8994140625}, {"start": 168.77, "end": 168.99, "word": " c", "probability": 0.9560546875}, {"start": 168.99, "end": 169.55, "word": " تربية", "probability": 0.978515625}, {"start": 169.55, "end": 170.07, "word": " الستة", "probability": 0.3788248697916667}, {"start": 170.07, "end": 170.33, "word": " عشر", "probability": 0.65966796875}, {"start": 170.33, "end": 170.99, "word": " يبقى", "probability": 0.9534912109375}, {"start": 170.99, "end": 171.37, "word": " الجدرى", "probability": 0.8853759765625}, {"start": 171.37, "end": 171.89, "word": " التسعة", "probability": 0.9638671875}, {"start": 171.89, "end": 172.05, "word": " اللى", "probability": 0.802490234375}, {"start": 172.05, "end": 172.35, "word": " يبقى", "probability": 0.9647216796875}, {"start": 172.35, "end": 173.03, "word": " داشر", "probability": 0.7255859375}, {"start": 173.03, "end": 174.21, "word": " بتلاتة", "probability": 0.84296875}], "temperature": 1.0}, {"id": 10, "seek": 20250, "start": 174.74, "end": 202.5, "text": "يبقى المعادلة هذه صارت X تربيع على B تربيع زائد Y تربيع على A تربيع يساوي واحد يبقى صار X تربيع على تسعة زائد Y تربيع على خمسة وعشرين يساوي واحد هذه المعادلة المطلوبة لمن؟ لل ال ellipse قال لنا من اللي بيحكي انت؟", "tokens": [1829, 3555, 4587, 7578, 9673, 3615, 18513, 37977, 29538, 20328, 9640, 2655, 1783, 6055, 2288, 21292, 3615, 15844, 363, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 398, 6055, 2288, 21292, 3615, 15844, 316, 6055, 2288, 21292, 3615, 7251, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 20328, 9640, 1783, 6055, 2288, 21292, 3615, 15844, 6055, 3794, 27884, 30767, 16373, 3215, 398, 6055, 2288, 21292, 3615, 15844, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 7251, 3794, 995, 45865, 36764, 24401, 29538, 9673, 3615, 18513, 37977, 9673, 9566, 1211, 37746, 3660, 5296, 27842, 22807, 24976, 2423, 8284, 48041, 50239, 5296, 8315, 9154, 13672, 1829, 4724, 1829, 5016, 4117, 1829, 16472, 2655, 22807], "avg_logprob": -0.2053373851607331, "compression_ratio": 2.0331491712707184, "no_speech_prob": 0.0, "words": [{"start": 174.74, "end": 175.22, "word": "يبقى", "probability": 0.7779541015625}, {"start": 175.22, "end": 175.88, "word": " المعادلة", "probability": 0.958251953125}, {"start": 175.88, "end": 176.2, "word": " هذه", "probability": 0.53271484375}, {"start": 176.2, "end": 176.8, "word": " صارت", "probability": 0.61865234375}, {"start": 176.8, "end": 177.14, "word": " X", "probability": 0.55810546875}, {"start": 177.14, "end": 177.9, "word": " تربيع", "probability": 0.7265625}, {"start": 177.9, "end": 178.4, "word": " على", "probability": 0.71484375}, {"start": 178.4, "end": 178.72, "word": " B", "probability": 0.7841796875}, {"start": 178.72, "end": 179.48, "word": " تربيع", "probability": 0.8834228515625}, {"start": 179.48, "end": 180.18, "word": " زائد", "probability": 0.9025065104166666}, {"start": 180.18, "end": 180.48, "word": " Y", "probability": 0.98095703125}, {"start": 180.48, "end": 181.28, "word": " تربيع", "probability": 0.9439697265625}, {"start": 181.28, "end": 181.92, "word": " على", "probability": 0.8759765625}, {"start": 181.92, "end": 182.24, "word": " A", "probability": 0.89404296875}, {"start": 182.24, "end": 182.7, "word": " تربيع", "probability": 0.9468994140625}, {"start": 182.7, "end": 183.34, "word": " يساوي", "probability": 0.8699951171875}, {"start": 183.34, "end": 184.16, "word": " واحد", "probability": 0.90576171875}, {"start": 184.16, "end": 185.1, "word": " يبقى", "probability": 0.9327392578125}, {"start": 185.1, "end": 185.54, "word": " صار", "probability": 0.866943359375}, {"start": 185.54, "end": 185.98, "word": " X", "probability": 0.890625}, {"start": 185.98, "end": 186.68, "word": " تربيع", "probability": 0.9593505859375}, {"start": 186.68, "end": 187.18, "word": " على", "probability": 0.83740234375}, {"start": 187.18, "end": 187.94, "word": " تسعة", "probability": 0.8037109375}, {"start": 187.94, "end": 188.92, "word": " زائد", "probability": 0.9689127604166666}, {"start": 188.92, "end": 189.24, "word": " Y", "probability": 0.990234375}, {"start": 189.24, "end": 189.82, "word": " تربيع", "probability": 0.966064453125}, {"start": 189.82, "end": 190.18, "word": " على", "probability": 0.87158203125}, {"start": 190.18, "end": 190.78, "word": " خمسة", "probability": 0.93212890625}, {"start": 190.78, "end": 191.54, "word": " وعشرين", "probability": 0.934814453125}, {"start": 191.54, "end": 192.6, "word": " يساوي", "probability": 0.9761962890625}, {"start": 192.6, "end": 193.18, "word": " واحد", "probability": 0.984375}, {"start": 193.18, "end": 194.02, "word": " هذه", "probability": 0.79150390625}, {"start": 194.02, "end": 194.86, "word": " المعادلة", "probability": 0.98974609375}, {"start": 194.86, "end": 195.5, "word": " المطلوبة", "probability": 0.887890625}, {"start": 195.5, "end": 196.3, "word": " لمن؟", "probability": 0.4893391927083333}, {"start": 196.3, "end": 196.58, "word": " لل", "probability": 0.78173828125}, {"start": 196.58, "end": 196.72, "word": " ال", "probability": 0.231201171875}, {"start": 196.72, "end": 197.22, "word": " ellipse", "probability": 0.706298828125}, {"start": 197.22, "end": 197.56, "word": " قال", "probability": 0.1580810546875}, {"start": 197.56, "end": 197.94, "word": " لنا", "probability": 0.6845703125}, {"start": 197.94, "end": 201.26, "word": " من", "probability": 0.3095703125}, {"start": 201.26, "end": 201.52, "word": " اللي", "probability": 0.87353515625}, {"start": 201.52, "end": 201.94, "word": " بيحكي", "probability": 0.98857421875}, {"start": 201.94, "end": 202.5, "word": " انت؟", "probability": 0.6957194010416666}], "temperature": 1.0}, {"id": 11, "seek": 22832, "start": 204.42, "end": 228.32, "text": "بقول X تربية على B تربية لإن ال major axis هو محور Y نطلع للرقم الكبير لما يكون الرقم الكبير في المقام بيكون المتغير اللي فوقه هو ال Y هو ال major axis تمام؟ يبقى كلامنا صحيح بروح الآن لمثال اتنين example two", "tokens": [3555, 39648, 1783, 6055, 25513, 10632, 15844, 363, 6055, 25513, 10632, 5296, 28814, 1863, 2423, 2563, 10298, 31439, 3714, 5016, 13063, 398, 8717, 9566, 1211, 3615, 24976, 2288, 4587, 2304, 33251, 3555, 13546, 5296, 15042, 7251, 30544, 34892, 4587, 2304, 33251, 3555, 13546, 8978, 9673, 4587, 10943, 4724, 1829, 30544, 9673, 2655, 17082, 13546, 13672, 1829, 6156, 30543, 3224, 31439, 2423, 398, 31439, 2423, 2563, 10298, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 28242, 10943, 8315, 20328, 5016, 1829, 5016, 4724, 32887, 5016, 6024, 48506, 32767, 12984, 6027, 1975, 2655, 1863, 9957, 1365, 732], "avg_logprob": -0.19934209993011073, "compression_ratio": 1.6682926829268292, "no_speech_prob": 0.0, "words": [{"start": 204.42, "end": 204.86, "word": "بقول", "probability": 0.5811767578125}, {"start": 204.86, "end": 205.16, "word": " X", "probability": 0.4794921875}, {"start": 205.16, "end": 205.5, "word": " تربية", "probability": 0.6109212239583334}, {"start": 205.5, "end": 205.72, "word": " على", "probability": 0.74609375}, {"start": 205.72, "end": 205.94, "word": " B", "probability": 0.71630859375}, {"start": 205.94, "end": 206.4, "word": " تربية", "probability": 0.9638671875}, {"start": 206.4, "end": 206.7, "word": " لإن", "probability": 0.6979166666666666}, {"start": 206.7, "end": 206.86, "word": " ال", "probability": 0.55419921875}, {"start": 206.86, "end": 207.12, "word": " major", "probability": 0.68359375}, {"start": 207.12, "end": 207.5, "word": " axis", "probability": 0.97802734375}, {"start": 207.5, "end": 207.7, "word": " هو", "probability": 0.9169921875}, {"start": 207.7, "end": 208.24, "word": " محور", "probability": 0.9606119791666666}, {"start": 208.24, "end": 208.7, "word": " Y", "probability": 0.9609375}, {"start": 208.7, "end": 209.22, "word": " نطلع", "probability": 0.8148193359375}, {"start": 209.22, "end": 210.0, "word": " للرقم", "probability": 0.9451904296875}, {"start": 210.0, "end": 210.86, "word": " الكبير", "probability": 0.978515625}, {"start": 210.86, "end": 211.7, "word": " لما", "probability": 0.885498046875}, {"start": 211.7, "end": 212.04, "word": " يكون", "probability": 0.9853515625}, {"start": 212.04, "end": 212.52, "word": " الرقم", "probability": 0.9773763020833334}, {"start": 212.52, "end": 213.02, "word": " الكبير", "probability": 0.9871419270833334}, {"start": 213.02, "end": 213.28, "word": " في", "probability": 0.93359375}, {"start": 213.28, "end": 214.74, "word": " المقام", "probability": 0.9396158854166666}, {"start": 214.74, "end": 215.26, "word": " بيكون", "probability": 0.8850911458333334}, {"start": 215.26, "end": 216.2, "word": " المتغير", "probability": 0.987548828125}, {"start": 216.2, "end": 216.44, "word": " اللي", "probability": 0.90185546875}, {"start": 216.44, "end": 217.08, "word": " فوقه", "probability": 0.9524739583333334}, {"start": 217.08, "end": 217.34, "word": " هو", "probability": 0.47216796875}, {"start": 217.34, "end": 217.7, "word": " ال", "probability": 0.6103515625}, {"start": 217.7, "end": 218.02, "word": " Y", "probability": 0.7587890625}, {"start": 218.02, "end": 218.84, "word": " هو", "probability": 0.95654296875}, {"start": 218.84, "end": 219.04, "word": " ال", "probability": 0.79541015625}, {"start": 219.04, "end": 219.34, "word": " major", "probability": 0.9208984375}, {"start": 219.34, "end": 219.96, "word": " axis", "probability": 0.9814453125}, {"start": 219.96, "end": 221.02, "word": " تمام؟", "probability": 0.6258138020833334}, {"start": 221.02, "end": 221.24, "word": " يبقى", "probability": 0.76763916015625}, {"start": 221.24, "end": 221.8, "word": " كلامنا", "probability": 0.96533203125}, {"start": 221.8, "end": 222.72, "word": " صحيح", "probability": 0.981201171875}, {"start": 222.72, "end": 223.12, "word": " بروح", "probability": 0.9270833333333334}, {"start": 223.12, "end": 223.4, "word": " الآن", "probability": 0.5726318359375}, {"start": 223.4, "end": 223.98, "word": " لمثال", "probability": 0.9420572916666666}, {"start": 223.98, "end": 225.32, "word": " اتنين", "probability": 0.88916015625}, {"start": 225.32, "end": 227.7, "word": " example", "probability": 0.7578125}, {"start": 227.7, "end": 228.32, "word": " two", "probability": 0.6337890625}], "temperature": 1.0}, {"id": 12, "seek": 25958, "start": 231.32, "end": 259.58, "text": "بقول consider the ellipse الوكس تربيع على ستة عشر زائد ويتربيع على خمسة وعشرين يساوي واحد that shifted لاربع units", "tokens": [3555, 39648, 1949, 264, 8284, 48041, 2423, 2407, 4117, 3794, 6055, 2288, 21292, 3615, 15844, 8608, 2655, 3660, 6225, 46309, 30767, 16373, 3215, 4032, 36081, 2288, 21292, 3615, 15844, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 7251, 3794, 995, 45865, 36764, 24401, 300, 18892, 5296, 9640, 3555, 3615, 6815], "avg_logprob": -0.2997855345408122, "compression_ratio": 1.3157894736842106, "no_speech_prob": 0.0, "words": [{"start": 231.32, "end": 231.84, "word": "بقول", "probability": 0.4630126953125}, {"start": 231.84, "end": 232.38, "word": " consider", "probability": 0.61328125}, {"start": 232.38, "end": 236.56, "word": " the", "probability": 0.841796875}, {"start": 236.56, "end": 238.1, "word": " ellipse", "probability": 0.95166015625}, {"start": 238.1, "end": 241.62, "word": " الوكس", "probability": 0.4862060546875}, {"start": 241.62, "end": 242.36, "word": " تربيع", "probability": 0.8931884765625}, {"start": 242.36, "end": 243.44, "word": " على", "probability": 0.498046875}, {"start": 243.44, "end": 244.06, "word": " ستة", "probability": 0.666259765625}, {"start": 244.06, "end": 244.54, "word": " عشر", "probability": 0.9541015625}, {"start": 244.54, "end": 246.14, "word": " زائد", "probability": 0.88330078125}, {"start": 246.14, "end": 248.02, "word": " ويتربيع", "probability": 0.785400390625}, {"start": 248.02, "end": 248.3, "word": " على", "probability": 0.90966796875}, {"start": 248.3, "end": 248.88, "word": " خمسة", "probability": 0.95751953125}, {"start": 248.88, "end": 249.5, "word": " وعشرين", "probability": 0.9219970703125}, {"start": 249.5, "end": 250.04, "word": " يساوي", "probability": 0.952880859375}, {"start": 250.04, "end": 250.68, "word": " واحد", "probability": 0.9873046875}, {"start": 250.68, "end": 251.74, "word": " that", "probability": 0.72314453125}, {"start": 251.74, "end": 252.64, "word": " shifted", "probability": 0.87744140625}, {"start": 252.64, "end": 258.96, "word": " لاربع", "probability": 0.674407958984375}, {"start": 258.96, "end": 259.58, "word": " units", "probability": 0.57373046875}], "temperature": 1.0}, {"id": 13, "seek": 28914, "start": 260.73, "end": 289.15, "text": "اربع وحدات to the left and five units وخمس وحدات down المعادلة الجديدة of", "tokens": [9640, 3555, 3615, 4032, 24401, 9307, 281, 264, 1411, 293, 1732, 6815, 4032, 9778, 2304, 3794, 4032, 24401, 9307, 760, 9673, 3615, 18513, 37977, 25724, 16254, 41891, 295], "avg_logprob": -0.286099125599039, "compression_ratio": 1.1157894736842104, "no_speech_prob": 0.0, "words": [{"start": 260.73, "end": 261.39, "word": "اربع", "probability": 0.66015625}, {"start": 261.39, "end": 262.13, "word": " وحدات", "probability": 0.8538411458333334}, {"start": 262.13, "end": 263.47, "word": " to", "probability": 0.352783203125}, {"start": 263.47, "end": 263.79, "word": " the", "probability": 0.9169921875}, {"start": 263.79, "end": 264.29, "word": " left", "probability": 0.94091796875}, {"start": 264.29, "end": 268.85, "word": " and", "probability": 0.4892578125}, {"start": 268.85, "end": 270.51, "word": " five", "probability": 0.69287109375}, {"start": 270.51, "end": 271.37, "word": " units", "probability": 0.9501953125}, {"start": 271.37, "end": 272.79, "word": " وخمس", "probability": 0.8848876953125}, {"start": 272.79, "end": 273.69, "word": " وحدات", "probability": 0.97705078125}, {"start": 273.69, "end": 274.63, "word": " down", "probability": 0.806640625}, {"start": 274.63, "end": 287.65, "word": " المعادلة", "probability": 0.647064208984375}, {"start": 287.65, "end": 288.39, "word": " الجديدة", "probability": 0.9798177083333334}, {"start": 288.39, "end": 289.15, "word": " of", "probability": 0.77587890625}], "temperature": 1.0}, {"id": 14, "seek": 31102, "start": 306.41, "end": 311.03, "text": "والبقرتين فقهي و البرتسيز", "tokens": [2407, 6027, 3555, 4587, 43500, 9957, 6156, 4587, 3224, 1829, 4032, 2423, 26890, 2655, 3794, 1829, 11622], "avg_logprob": -0.5203993022441864, "compression_ratio": 0.94, "no_speech_prob": 0.0, "words": [{"start": 306.41, "end": 307.81, "word": "والبقرتين", "probability": 0.6483968098958334}, {"start": 307.81, "end": 308.83, "word": " فقهي", "probability": 0.48272705078125}, {"start": 308.83, "end": 309.91, "word": " و", "probability": 0.7900390625}, {"start": 309.91, "end": 311.03, "word": " البرتسيز", "probability": 0.7002766927083334}], "temperature": 1.0}, {"id": 15, "seek": 33908, "start": 330.06, "end": 339.08, "text": "سؤال مرة تانية، السؤال بيقول يعتبر المعادل لإن X تربيه على 16 يبقى تربيه على 25 يساوي 1", "tokens": [3794, 33604, 6027, 3714, 25720, 6055, 7649, 10632, 12399, 21136, 33604, 6027, 4724, 1829, 39648, 7251, 34268, 26890, 9673, 3615, 18513, 1211, 5296, 28814, 1863, 1783, 6055, 2288, 21292, 3224, 15844, 3165, 7251, 3555, 4587, 7578, 6055, 2288, 21292, 3224, 15844, 3552, 7251, 3794, 995, 45865, 502], "avg_logprob": -0.2998046937088172, "compression_ratio": 1.438095238095238, "no_speech_prob": 0.0, "words": [{"start": 330.06, "end": 330.56, "word": "سؤال", "probability": 0.859375}, {"start": 330.56, "end": 330.88, "word": " مرة", "probability": 0.760986328125}, {"start": 330.88, "end": 332.06, "word": " تانية،", "probability": 0.72161865234375}, {"start": 332.06, "end": 333.1, "word": " السؤال", "probability": 0.8106282552083334}, {"start": 333.1, "end": 333.36, "word": " بيقول", "probability": 0.7779134114583334}, {"start": 333.36, "end": 334.06, "word": " يعتبر", "probability": 0.85498046875}, {"start": 334.06, "end": 335.4, "word": " المعادل", "probability": 0.9193115234375}, {"start": 335.4, "end": 335.76, "word": " لإن", "probability": 0.7024739583333334}, {"start": 335.76, "end": 336.18, "word": " X", "probability": 0.32421875}, {"start": 336.18, "end": 336.5, "word": " تربيه", "probability": 0.7967529296875}, {"start": 336.5, "end": 336.56, "word": " على", "probability": 0.84130859375}, {"start": 336.56, "end": 337.02, "word": " 16", "probability": 0.86328125}, {"start": 337.02, "end": 337.42, "word": " يبقى", "probability": 0.66259765625}, {"start": 337.42, "end": 337.74, "word": " تربيه", "probability": 0.9400634765625}, {"start": 337.74, "end": 337.84, "word": " على", "probability": 0.85009765625}, {"start": 337.84, "end": 338.34, "word": " 25", "probability": 0.9775390625}, {"start": 338.34, "end": 338.8, "word": " يساوي", "probability": 0.566497802734375}, {"start": 338.8, "end": 339.08, "word": " 1", "probability": 0.84716796875}], "temperature": 1.0}, {"id": 16, "seek": 36356, "start": 344.52, "end": 363.56, "text": "أربع وحدات جهة الشمال يبقى شدناها جهة الشمال بمقدار أربع وحدات وخمسة units down وخمس وحدات إلى أسفل من وحدات الطول find a new equation هاتلي شكل المعادلة الجديدة بعد ما عملت من", "tokens": [10721, 25513, 3615, 4032, 24401, 9307, 10874, 3224, 3660, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 13412, 3215, 8315, 11296, 10874, 3224, 3660, 25124, 2304, 6027, 4724, 2304, 28543, 9640, 5551, 25513, 3615, 4032, 24401, 9307, 4032, 9778, 2304, 3794, 3660, 6815, 760, 4032, 9778, 2304, 3794, 4032, 24401, 9307, 30731, 5551, 3794, 5172, 1211, 9154, 4032, 24401, 9307, 41950, 12610, 915, 257, 777, 5367, 8032, 9307, 20292, 13412, 28820, 9673, 3615, 18513, 37977, 25724, 16254, 41891, 39182, 19446, 6225, 42213, 2655, 9154], "avg_logprob": -0.28273810126951765, "compression_ratio": 1.6666666666666667, "no_speech_prob": 0.0, "words": [{"start": 344.52, "end": 345.52, "word": "أربع", "probability": 0.3632609049479167}, {"start": 345.52, "end": 346.26, "word": " وحدات", "probability": 0.8894856770833334}, {"start": 346.26, "end": 346.78, "word": " جهة", "probability": 0.89453125}, {"start": 346.78, "end": 347.78, "word": " الشمال", "probability": 0.97900390625}, {"start": 347.78, "end": 348.12, "word": " يبقى", "probability": 0.76104736328125}, {"start": 348.12, "end": 348.94, "word": " شدناها", "probability": 0.8087158203125}, {"start": 348.94, "end": 349.32, "word": " جهة", "probability": 0.9654947916666666}, {"start": 349.32, "end": 349.82, "word": " الشمال", "probability": 0.99169921875}, {"start": 349.82, "end": 350.46, "word": " بمقدار", "probability": 0.7640380859375}, {"start": 350.46, "end": 350.94, "word": " أربع", "probability": 0.8245442708333334}, {"start": 350.94, "end": 351.48, "word": " وحدات", "probability": 0.9378255208333334}, {"start": 351.48, "end": 352.84, "word": " وخمسة", "probability": 0.7892578125}, {"start": 352.84, "end": 353.18, "word": " units", "probability": 0.55322265625}, {"start": 353.18, "end": 353.86, "word": " down", "probability": 0.270751953125}, {"start": 353.86, "end": 354.94, "word": " وخمس", "probability": 0.9442138671875}, {"start": 354.94, "end": 355.6, "word": " وحدات", "probability": 0.95654296875}, {"start": 355.6, "end": 355.88, "word": " إلى", "probability": 0.73486328125}, {"start": 355.88, "end": 356.34, "word": " أسفل", "probability": 0.973876953125}, {"start": 356.34, "end": 356.54, "word": " من", "probability": 0.93505859375}, {"start": 356.54, "end": 357.02, "word": " وحدات", "probability": 0.80322265625}, {"start": 357.02, "end": 357.52, "word": " الطول", "probability": 0.950439453125}, {"start": 357.52, "end": 358.46, "word": " find", "probability": 0.0867919921875}, {"start": 358.46, "end": 358.84, "word": " a", "probability": 0.740234375}, {"start": 358.84, "end": 359.08, "word": " new", "probability": 0.8935546875}, {"start": 359.08, "end": 359.64, "word": " equation", "probability": 0.9501953125}, {"start": 359.64, "end": 360.14, "word": " هاتلي", "probability": 0.7390950520833334}, {"start": 360.14, "end": 360.74, "word": " شكل", "probability": 0.6602783203125}, {"start": 360.74, "end": 361.66, "word": " المعادلة", "probability": 0.9300537109375}, {"start": 361.66, "end": 362.3, "word": " الجديدة", "probability": 0.98095703125}, {"start": 362.3, "end": 362.76, "word": " بعد", "probability": 0.97216796875}, {"start": 362.76, "end": 362.98, "word": " ما", "probability": 0.95458984375}, {"start": 362.98, "end": 363.4, "word": " عملت", "probability": 0.9052734375}, {"start": 363.4, "end": 363.56, "word": " من", "probability": 0.189453125}], "temperature": 1.0}, {"id": 17, "seek": 38383, "start": 363.99, "end": 383.83, "text": "الشفت يعني انك بدى يعرف ما هو شكل هذه المعادلة بعد ال shift تمام؟ بعد هيك بدى قداش المركز والبقرتين والرأسين لهذا ال ellipse بدي لل ellipse اللى عندنا الرقم الكبير تحت مين؟ تحت ال Y تقريبا يبقى ال major axis هو مين؟", "tokens": [6027, 8592, 5172, 2655, 37495, 22653, 16472, 4117, 47525, 7578, 37495, 28480, 19446, 31439, 13412, 28820, 29538, 9673, 3615, 18513, 37977, 39182, 2423, 5513, 46811, 10943, 22807, 39182, 39896, 4117, 47525, 7578, 12174, 3215, 33599, 9673, 31747, 11622, 16070, 3555, 4587, 43500, 9957, 16070, 2288, 10721, 3794, 9957, 46740, 15730, 2423, 8284, 48041, 4724, 16254, 24976, 8284, 48041, 13672, 7578, 43242, 8315, 34892, 4587, 2304, 33251, 3555, 13546, 6055, 33753, 3714, 9957, 22807, 6055, 33753, 2423, 398, 6055, 4587, 16572, 3555, 995, 7251, 3555, 4587, 7578, 2423, 2563, 10298, 31439, 3714, 9957, 22807], "avg_logprob": -0.2677858994996294, "compression_ratio": 1.7014218009478672, "no_speech_prob": 0.0, "words": [{"start": 363.99, "end": 364.53, "word": "الشفت", "probability": 0.56005859375}, {"start": 364.53, "end": 364.75, "word": " يعني", "probability": 0.58154296875}, {"start": 364.75, "end": 364.89, "word": " انك", "probability": 0.60595703125}, {"start": 364.89, "end": 365.09, "word": " بدى", "probability": 0.3544921875}, {"start": 365.09, "end": 365.35, "word": " يعرف", "probability": 0.708740234375}, {"start": 365.35, "end": 365.59, "word": " ما", "probability": 0.8349609375}, {"start": 365.59, "end": 365.87, "word": " هو", "probability": 0.7958984375}, {"start": 365.87, "end": 366.53, "word": " شكل", "probability": 0.8623046875}, {"start": 366.53, "end": 367.27, "word": " هذه", "probability": 0.8955078125}, {"start": 367.27, "end": 367.97, "word": " المعادلة", "probability": 0.9879150390625}, {"start": 367.97, "end": 368.39, "word": " بعد", "probability": 0.94287109375}, {"start": 368.39, "end": 368.59, "word": " ال", "probability": 0.416748046875}, {"start": 368.59, "end": 368.99, "word": " shift", "probability": 0.91015625}, {"start": 368.99, "end": 370.27, "word": " تمام؟", "probability": 0.7528483072916666}, {"start": 370.27, "end": 370.65, "word": " بعد", "probability": 0.9267578125}, {"start": 370.65, "end": 371.03, "word": " هيك", "probability": 0.79638671875}, {"start": 371.03, "end": 371.41, "word": " بدى", "probability": 0.8349609375}, {"start": 371.41, "end": 371.79, "word": " قداش", "probability": 0.6456705729166666}, {"start": 371.79, "end": 372.51, "word": " المركز", "probability": 0.9597981770833334}, {"start": 372.51, "end": 373.77, "word": " والبقرتين", "probability": 0.82880859375}, {"start": 373.77, "end": 375.19, "word": " والرأسين", "probability": 0.8591796875}, {"start": 375.19, "end": 375.79, "word": " لهذا", "probability": 0.92578125}, {"start": 375.79, "end": 375.95, "word": " ال", "probability": 0.9658203125}, {"start": 375.95, "end": 376.33, "word": " ellipse", "probability": 0.849365234375}, {"start": 376.33, "end": 377.15, "word": " بدي", "probability": 0.51416015625}, {"start": 377.15, "end": 377.29, "word": " لل", "probability": 0.52978515625}, {"start": 377.29, "end": 377.63, "word": " ellipse", "probability": 0.912109375}, {"start": 377.63, "end": 377.87, "word": " اللى", "probability": 0.79248046875}, {"start": 377.87, "end": 378.23, "word": " عندنا", "probability": 0.825927734375}, {"start": 378.23, "end": 378.89, "word": " الرقم", "probability": 0.8499348958333334}, {"start": 378.89, "end": 379.47, "word": " الكبير", "probability": 0.97705078125}, {"start": 379.47, "end": 379.87, "word": " تحت", "probability": 0.991943359375}, {"start": 379.87, "end": 380.53, "word": " مين؟", "probability": 0.6773274739583334}, {"start": 380.53, "end": 381.27, "word": " تحت", "probability": 0.971435546875}, {"start": 381.27, "end": 381.41, "word": " ال", "probability": 0.970703125}, {"start": 381.41, "end": 381.57, "word": " Y", "probability": 0.6904296875}, {"start": 381.57, "end": 381.89, "word": " تقريبا", "probability": 0.88115234375}, {"start": 381.89, "end": 382.13, "word": " يبقى", "probability": 0.783447265625}, {"start": 382.13, "end": 382.29, "word": " ال", "probability": 0.4736328125}, {"start": 382.29, "end": 382.63, "word": " major", "probability": 0.88525390625}, {"start": 382.63, "end": 383.13, "word": " axis", "probability": 0.9814453125}, {"start": 383.13, "end": 383.37, "word": " هو", "probability": 0.9658203125}, {"start": 383.37, "end": 383.83, "word": " مين؟", "probability": 0.9680989583333334}], "temperature": 1.0}, {"id": 18, "seek": 40681, "start": 384.19, "end": 406.81, "text": "محور Y يبقى لو جيت رسمت الرسمة تبعتي يبقى الرسمة تبعتي الأساسية هذا محور X هذا محور Y بدي أتخيل أن هذا الرسمة اللي عندي تمام؟ يبقى هذا الرسم اللي تبعت للمعطاب قال ليه؟", "tokens": [2304, 5016, 13063, 398, 7251, 3555, 4587, 7578, 45164, 10874, 36081, 12602, 38251, 2655, 34892, 38251, 3660, 6055, 3555, 3615, 31371, 7251, 3555, 4587, 7578, 34892, 38251, 3660, 6055, 3555, 3615, 31371, 16247, 3794, 32277, 10632, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 4724, 16254, 5551, 2655, 9778, 26895, 14739, 23758, 34892, 38251, 3660, 13672, 1829, 18871, 16254, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 23758, 34892, 38251, 13672, 1829, 6055, 3555, 34268, 5296, 19528, 3615, 9566, 16758, 50239, 32239, 3224, 22807], "avg_logprob": -0.17160247404908024, "compression_ratio": 2.0135135135135136, "no_speech_prob": 0.0, "words": [{"start": 384.19, "end": 384.95, "word": "محور", "probability": 0.7657877604166666}, {"start": 384.95, "end": 385.23, "word": " Y", "probability": 0.85546875}, {"start": 385.23, "end": 385.59, "word": " يبقى", "probability": 0.8511962890625}, {"start": 385.59, "end": 385.81, "word": " لو", "probability": 0.87451171875}, {"start": 385.81, "end": 386.19, "word": " جيت", "probability": 0.93896484375}, {"start": 386.19, "end": 386.85, "word": " رسمت", "probability": 0.8935546875}, {"start": 386.85, "end": 387.41, "word": " الرسمة", "probability": 0.93017578125}, {"start": 387.41, "end": 388.05, "word": " تبعتي", "probability": 0.9727783203125}, {"start": 388.05, "end": 389.11, "word": " يبقى", "probability": 0.9405517578125}, {"start": 389.11, "end": 389.83, "word": " الرسمة", "probability": 0.9251302083333334}, {"start": 389.83, "end": 390.37, "word": " تبعتي", "probability": 0.8853759765625}, {"start": 390.37, "end": 391.49, "word": " الأساسية", "probability": 0.9444580078125}, {"start": 391.49, "end": 392.13, "word": " هذا", "probability": 0.56982421875}, {"start": 392.13, "end": 392.73, "word": " محور", "probability": 0.9856770833333334}, {"start": 392.73, "end": 393.21, "word": " X", "probability": 0.99169921875}, {"start": 393.21, "end": 393.93, "word": " هذا", "probability": 0.5986328125}, {"start": 393.93, "end": 394.55, "word": " محور", "probability": 0.98486328125}, {"start": 394.55, "end": 394.95, "word": " Y", "probability": 0.994140625}, {"start": 394.95, "end": 395.63, "word": " بدي", "probability": 0.6590576171875}, {"start": 395.63, "end": 396.59, "word": " أتخيل", "probability": 0.89111328125}, {"start": 396.59, "end": 397.35, "word": " أن", "probability": 0.48486328125}, {"start": 397.35, "end": 397.71, "word": " هذا", "probability": 0.77734375}, {"start": 397.71, "end": 398.57, "word": " الرسمة", "probability": 0.8268229166666666}, {"start": 398.57, "end": 399.01, "word": " اللي", "probability": 0.923583984375}, {"start": 399.01, "end": 399.45, "word": " عندي", "probability": 0.8740234375}, {"start": 399.45, "end": 402.31, "word": " تمام؟", "probability": 0.8194986979166666}, {"start": 402.31, "end": 402.69, "word": " يبقى", "probability": 0.98583984375}, {"start": 402.69, "end": 402.85, "word": " هذا", "probability": 0.73388671875}, {"start": 402.85, "end": 403.23, "word": " الرسم", "probability": 0.98291015625}, {"start": 403.23, "end": 403.65, "word": " اللي", "probability": 0.87646484375}, {"start": 403.65, "end": 404.03, "word": " تبعت", "probability": 0.8585611979166666}, {"start": 404.03, "end": 405.23, "word": " للمعطاب", "probability": 0.642431640625}, {"start": 405.23, "end": 406.19, "word": " قال", "probability": 0.650390625}, {"start": 406.19, "end": 406.81, "word": " ليه؟", "probability": 0.9777018229166666}], "temperature": 1.0}, {"id": 19, "seek": 42830, "start": 407.46, "end": 428.3, "text": "هنا طبعا واضح ان بيب اربعة و ايه بيبقى كدهش بخمسة طيب عملناه اربع وحدات جهة الشمال اربع وحدات جهة الشمال يبقى هاي النقطة اليمين عندنا سالف اربعة ونزلناها خمس وحدات طيب ايه عندي بخمسة يبقى اجتكبال النقطة هذه", "tokens": [3224, 8315, 23032, 3555, 3615, 995, 4032, 46958, 5016, 16472, 4724, 1829, 3555, 1975, 25513, 27884, 4032, 1975, 1829, 3224, 4724, 1829, 3555, 4587, 7578, 9122, 3215, 3224, 8592, 4724, 9778, 2304, 3794, 3660, 23032, 1829, 3555, 6225, 42213, 8315, 3224, 1975, 25513, 3615, 4032, 24401, 9307, 10874, 3224, 3660, 25124, 2304, 6027, 1975, 25513, 3615, 4032, 24401, 9307, 10874, 3224, 3660, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 8032, 47302, 28239, 47432, 3660, 2423, 32640, 9957, 43242, 8315, 8608, 6027, 5172, 1975, 25513, 27884, 4032, 1863, 11622, 1211, 8315, 11296, 16490, 2304, 3794, 4032, 24401, 9307, 23032, 1829, 3555, 1975, 1829, 3224, 18871, 16254, 4724, 9778, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 1975, 7435, 2655, 4117, 3555, 6027, 28239, 47432, 3660, 29538], "avg_logprob": -0.22099999618530272, "compression_ratio": 2.21301775147929, "no_speech_prob": 0.0, "words": [{"start": 407.46, "end": 407.9, "word": "هنا", "probability": 0.5655517578125}, {"start": 407.9, "end": 408.3, "word": " طبعا", "probability": 0.796173095703125}, {"start": 408.3, "end": 408.8, "word": " واضح", "probability": 0.9583333333333334}, {"start": 408.8, "end": 409.18, "word": " ان", "probability": 0.57470703125}, {"start": 409.18, "end": 409.64, "word": " بيب", "probability": 0.705810546875}, {"start": 409.64, "end": 410.26, "word": " اربعة", "probability": 0.788818359375}, {"start": 410.26, "end": 410.38, "word": " و", "probability": 0.74072265625}, {"start": 410.38, "end": 410.66, "word": " ايه", "probability": 0.74755859375}, {"start": 410.66, "end": 410.82, "word": " بيبقى", "probability": 0.75419921875}, {"start": 410.82, "end": 411.4, "word": " كدهش", "probability": 0.50830078125}, {"start": 411.4, "end": 412.36, "word": " بخمسة", "probability": 0.842138671875}, {"start": 412.36, "end": 412.9, "word": " طيب", "probability": 0.7752278645833334}, {"start": 412.9, "end": 413.62, "word": " عملناه", "probability": 0.80487060546875}, {"start": 413.62, "end": 414.22, "word": " اربع", "probability": 0.7862955729166666}, {"start": 414.22, "end": 414.8, "word": " وحدات", "probability": 0.8307291666666666}, {"start": 414.8, "end": 415.4, "word": " جهة", "probability": 0.9493815104166666}, {"start": 415.4, "end": 416.12, "word": " الشمال", "probability": 0.9855143229166666}, {"start": 416.12, "end": 417.06, "word": " اربع", "probability": 0.90869140625}, {"start": 417.06, "end": 417.6, "word": " وحدات", "probability": 0.9757486979166666}, {"start": 417.6, "end": 418.02, "word": " جهة", "probability": 0.98095703125}, {"start": 418.02, "end": 418.56, "word": " الشمال", "probability": 0.9811197916666666}, {"start": 418.56, "end": 418.98, "word": " يبقى", "probability": 0.9659423828125}, {"start": 418.98, "end": 419.18, "word": " هاي", "probability": 0.593017578125}, {"start": 419.18, "end": 419.7, "word": " النقطة", "probability": 0.9405924479166666}, {"start": 419.7, "end": 420.16, "word": " اليمين", "probability": 0.7508951822916666}, {"start": 420.16, "end": 420.72, "word": " عندنا", "probability": 0.974609375}, {"start": 420.72, "end": 421.68, "word": " سالف", "probability": 0.8953450520833334}, {"start": 421.68, "end": 422.2, "word": " اربعة", "probability": 0.91845703125}, {"start": 422.2, "end": 423.7, "word": " ونزلناها", "probability": 0.86962890625}, {"start": 423.7, "end": 424.22, "word": " خمس", "probability": 0.9925130208333334}, {"start": 424.22, "end": 424.8, "word": " وحدات", "probability": 0.9703776041666666}, {"start": 424.8, "end": 425.12, "word": " طيب", "probability": 0.7985026041666666}, {"start": 425.12, "end": 425.42, "word": " ايه", "probability": 0.9674479166666666}, {"start": 425.42, "end": 425.74, "word": " عندي", "probability": 0.79296875}, {"start": 425.74, "end": 426.26, "word": " بخمسة", "probability": 0.9322265625}, {"start": 426.26, "end": 426.52, "word": " يبقى", "probability": 0.9603271484375}, {"start": 426.52, "end": 427.24, "word": " اجتكبال", "probability": 0.7384847005208334}, {"start": 427.24, "end": 427.94, "word": " النقطة", "probability": 0.93701171875}, {"start": 427.94, "end": 428.3, "word": " هذه", "probability": 0.560546875}], "temperature": 1.0}, {"id": 20, "seek": 44374, "start": 428.62, "end": 443.74, "text": "و تحتها مباشرة يبقى صار ال center بدل ما هو 00 صار ال center له سالب أربعة و سالب خمسة يبقى هاي المحاور هتصبح بالشكل جديد", "tokens": [2407, 6055, 33753, 11296, 3714, 3555, 33599, 25720, 7251, 3555, 4587, 7578, 20328, 9640, 2423, 3056, 47525, 1211, 19446, 31439, 7143, 20328, 9640, 2423, 3056, 46740, 8608, 6027, 3555, 5551, 25513, 27884, 4032, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 8032, 47302, 9673, 5016, 995, 13063, 8032, 2655, 9381, 49628, 20666, 8592, 28820, 10874, 16254, 3215], "avg_logprob": -0.21798155835417451, "compression_ratio": 1.4926470588235294, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 428.62, "end": 428.88, "word": "و", "probability": 0.2734375}, {"start": 428.88, "end": 429.58, "word": " تحتها", "probability": 0.8982747395833334}, {"start": 429.58, "end": 430.88, "word": " مباشرة", "probability": 0.9859619140625}, {"start": 430.88, "end": 431.9, "word": " يبقى", "probability": 0.8702392578125}, {"start": 431.9, "end": 432.2, "word": " صار", "probability": 0.49853515625}, {"start": 432.2, "end": 432.4, "word": " ال", "probability": 0.92724609375}, {"start": 432.4, "end": 432.96, "word": " center", "probability": 0.66455078125}, {"start": 432.96, "end": 433.72, "word": " بدل", "probability": 0.969970703125}, {"start": 433.72, "end": 433.86, "word": " ما", "probability": 0.93212890625}, {"start": 433.86, "end": 434.12, "word": " هو", "probability": 0.97314453125}, {"start": 434.12, "end": 434.9, "word": " 00", "probability": 0.7275390625}, {"start": 434.9, "end": 435.68, "word": " صار", "probability": 0.904296875}, {"start": 435.68, "end": 435.84, "word": " ال", "probability": 0.97265625}, {"start": 435.84, "end": 436.28, "word": " center", "probability": 0.869140625}, {"start": 436.28, "end": 436.58, "word": " له", "probability": 0.234375}, {"start": 436.58, "end": 437.22, "word": " سالب", "probability": 0.7037353515625}, {"start": 437.22, "end": 437.98, "word": " أربعة", "probability": 0.7054036458333334}, {"start": 437.98, "end": 438.5, "word": " و", "probability": 0.6044921875}, {"start": 438.5, "end": 439.28, "word": " سالب", "probability": 0.8787434895833334}, {"start": 439.28, "end": 440.06, "word": " خمسة", "probability": 0.9840087890625}, {"start": 440.06, "end": 440.86, "word": " يبقى", "probability": 0.9549560546875}, {"start": 440.86, "end": 441.12, "word": " هاي", "probability": 0.61962890625}, {"start": 441.12, "end": 441.84, "word": " المحاور", "probability": 0.988037109375}, {"start": 441.84, "end": 442.5, "word": " هتصبح", "probability": 0.9716796875}, {"start": 442.5, "end": 443.08, "word": " بالشكل", "probability": 0.9210611979166666}, {"start": 443.08, "end": 443.74, "word": " جديد", "probability": 0.8860677083333334}], "temperature": 1.0}, {"id": 21, "seek": 47303, "start": 444.03, "end": 473.03, "text": "أو بشكلها الجديد كالتالي هذا المحور الراسي وهذا المحور الأفقي بالشكل هذا وبالتالي ال ellipse هياخد الشكلي التالي هي من هنا هيك هيجيني بالشكل هذا ومن هنا هيجيني بمين؟ بالشكل اللي عندنا هذا يبقى هيجيني هك هذا الشكل", "tokens": [10721, 2407, 4724, 8592, 28820, 11296, 25724, 16254, 3215, 9122, 6027, 2655, 6027, 1829, 23758, 9673, 5016, 13063, 34892, 32277, 1829, 37037, 15730, 9673, 5016, 13063, 16247, 5172, 38436, 20666, 8592, 28820, 23758, 46599, 6027, 2655, 6027, 1829, 2423, 8284, 48041, 39896, 47283, 3215, 25124, 4117, 20292, 16712, 6027, 1829, 39896, 9154, 34105, 39896, 4117, 39896, 7435, 9957, 1829, 20666, 8592, 28820, 23758, 4032, 27842, 34105, 39896, 7435, 9957, 1829, 4724, 2304, 9957, 22807, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 39896, 7435, 9957, 1829, 8032, 4117, 23758, 25124, 28820], "avg_logprob": -0.18733723865201077, "compression_ratio": 2.235294117647059, "no_speech_prob": 0.0, "words": [{"start": 444.03, "end": 444.49, "word": "أو", "probability": 0.771240234375}, {"start": 444.49, "end": 445.51, "word": " بشكلها", "probability": 0.8037109375}, {"start": 445.51, "end": 447.47, "word": " الجديد", "probability": 0.9513346354166666}, {"start": 447.47, "end": 448.73, "word": " كالتالي", "probability": 0.9546875}, {"start": 448.73, "end": 449.61, "word": " هذا", "probability": 0.76953125}, {"start": 449.61, "end": 450.49, "word": " المحور", "probability": 0.9825846354166666}, {"start": 450.49, "end": 451.73, "word": " الراسي", "probability": 0.8430989583333334}, {"start": 451.73, "end": 452.67, "word": " وهذا", "probability": 0.88134765625}, {"start": 452.67, "end": 453.47, "word": " المحور", "probability": 0.9742838541666666}, {"start": 453.47, "end": 455.09, "word": " الأفقي", "probability": 0.8673502604166666}, {"start": 455.09, "end": 455.69, "word": " بالشكل", "probability": 0.8668619791666666}, {"start": 455.69, "end": 456.01, "word": " هذا", "probability": 0.94287109375}, {"start": 456.01, "end": 457.45, "word": " وبالتالي", "probability": 0.95986328125}, {"start": 457.45, "end": 457.61, "word": " ال", "probability": 0.9462890625}, {"start": 457.61, "end": 458.01, "word": " ellipse", "probability": 0.7548828125}, {"start": 458.01, "end": 458.65, "word": " هياخد", "probability": 0.7389322916666666}, {"start": 458.65, "end": 459.49, "word": " الشكلي", "probability": 0.7736002604166666}, {"start": 459.49, "end": 460.49, "word": " التالي", "probability": 0.9861653645833334}, {"start": 460.49, "end": 461.29, "word": " هي", "probability": 0.7958984375}, {"start": 461.29, "end": 461.55, "word": " من", "probability": 0.6513671875}, {"start": 461.55, "end": 461.85, "word": " هنا", "probability": 0.99169921875}, {"start": 461.85, "end": 462.49, "word": " هيك", "probability": 0.3887939453125}, {"start": 462.49, "end": 463.11, "word": " هيجيني", "probability": 0.88232421875}, {"start": 463.11, "end": 463.61, "word": " بالشكل", "probability": 0.93603515625}, {"start": 463.61, "end": 464.01, "word": " هذا", "probability": 0.92919921875}, {"start": 464.01, "end": 464.73, "word": " ومن", "probability": 0.839599609375}, {"start": 464.73, "end": 464.97, "word": " هنا", "probability": 0.994140625}, {"start": 464.97, "end": 465.55, "word": " هيجيني", "probability": 0.962890625}, {"start": 465.55, "end": 466.57, "word": " بمين؟", "probability": 0.71630859375}, {"start": 466.57, "end": 467.19, "word": " بالشكل", "probability": 0.95751953125}, {"start": 467.19, "end": 467.37, "word": " اللي", "probability": 0.937744140625}, {"start": 467.37, "end": 467.95, "word": " عندنا", "probability": 0.8359375}, {"start": 467.95, "end": 468.63, "word": " هذا", "probability": 0.85791015625}, {"start": 468.63, "end": 469.39, "word": " يبقى", "probability": 0.674224853515625}, {"start": 469.39, "end": 470.05, "word": " هيجيني", "probability": 0.9815673828125}, {"start": 470.05, "end": 470.79, "word": " هك", "probability": 0.68505859375}, {"start": 470.79, "end": 472.57, "word": " هذا", "probability": 0.275634765625}, {"start": 472.57, "end": 473.03, "word": " الشكل", "probability": 0.98193359375}], "temperature": 1.0}, {"id": 22, "seek": 48878, "start": 473.56, "end": 488.78, "text": "تبقى هذا الشكل الجديد للإليبس اللون الأزرق اللى عندك بدى أعرف طبعا ال center صار سالب أربعة وسالب خمسة زى ما انت شايف سالب أربعة وسالب خمسة", "tokens": [2655, 3555, 4587, 7578, 23758, 25124, 28820, 25724, 16254, 3215, 24976, 28814, 20292, 3555, 3794, 13672, 11536, 16247, 11622, 2288, 4587, 13672, 7578, 43242, 4117, 47525, 7578, 5551, 3615, 28480, 23032, 3555, 3615, 995, 2423, 3056, 20328, 9640, 8608, 6027, 3555, 5551, 25513, 27884, 46952, 6027, 3555, 16490, 2304, 3794, 3660, 30767, 7578, 19446, 16472, 2655, 13412, 995, 33911, 8608, 6027, 3555, 5551, 25513, 27884, 46952, 6027, 3555, 16490, 2304, 3794, 3660], "avg_logprob": -0.2363013649640018, "compression_ratio": 1.6734693877551021, "no_speech_prob": 0.0, "words": [{"start": 473.56, "end": 474.02, "word": "تبقى", "probability": 0.6722412109375}, {"start": 474.02, "end": 474.22, "word": " هذا", "probability": 0.73583984375}, {"start": 474.22, "end": 474.68, "word": " الشكل", "probability": 0.9541015625}, {"start": 474.68, "end": 475.22, "word": " الجديد", "probability": 0.95703125}, {"start": 475.22, "end": 475.8, "word": " للإليبس", "probability": 0.624072265625}, {"start": 475.8, "end": 476.74, "word": " اللون", "probability": 0.9189453125}, {"start": 476.74, "end": 477.8, "word": " الأزرق", "probability": 0.9537353515625}, {"start": 477.8, "end": 478.16, "word": " اللى", "probability": 0.6431884765625}, {"start": 478.16, "end": 478.62, "word": " عندك", "probability": 0.790283203125}, {"start": 478.62, "end": 479.52, "word": " بدى", "probability": 0.54522705078125}, {"start": 479.52, "end": 479.96, "word": " أعرف", "probability": 0.8267415364583334}, {"start": 479.96, "end": 480.78, "word": " طبعا", "probability": 0.9207763671875}, {"start": 480.78, "end": 480.96, "word": " ال", "probability": 0.970703125}, {"start": 480.96, "end": 481.32, "word": " center", "probability": 0.67529296875}, {"start": 481.32, "end": 481.78, "word": " صار", "probability": 0.80859375}, {"start": 481.78, "end": 482.3, "word": " سالب", "probability": 0.69677734375}, {"start": 482.3, "end": 482.9, "word": " أربعة", "probability": 0.795654296875}, {"start": 482.9, "end": 483.88, "word": " وسالب", "probability": 0.7611490885416666}, {"start": 483.88, "end": 484.58, "word": " خمسة", "probability": 0.9815673828125}, {"start": 484.58, "end": 484.9, "word": " زى", "probability": 0.873779296875}, {"start": 484.9, "end": 485.04, "word": " ما", "probability": 0.93798828125}, {"start": 485.04, "end": 485.32, "word": " انت", "probability": 0.765625}, {"start": 485.32, "end": 485.7, "word": " شايف", "probability": 0.9879557291666666}, {"start": 485.7, "end": 486.12, "word": " سالب", "probability": 0.9178059895833334}, {"start": 486.12, "end": 486.72, "word": " أربعة", "probability": 0.9137369791666666}, {"start": 486.72, "end": 488.12, "word": " وسالب", "probability": 0.9462890625}, {"start": 488.12, "end": 488.78, "word": " خمسة", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 23, "seek": 50629, "start": 489.19, "end": 506.29, "text": "بسيطة إذا المعادلة هذه بتصبح على الشكل التالي the equation is الهمين x ناقص ناقص أربعة لكل تربيع على ست عشر", "tokens": [3555, 3794, 1829, 9566, 3660, 11933, 15730, 9673, 3615, 18513, 37977, 29538, 39894, 9381, 49628, 15844, 25124, 28820, 16712, 6027, 1829, 264, 5367, 307, 2423, 16095, 9957, 2031, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 5551, 25513, 27884, 5296, 28820, 6055, 2288, 21292, 3615, 15844, 8608, 2655, 6225, 46309], "avg_logprob": -0.24126838235294118, "compression_ratio": 1.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 489.19, "end": 490.03, "word": "بسيطة", "probability": 0.9451171875}, {"start": 490.03, "end": 490.29, "word": " إذا", "probability": 0.65771484375}, {"start": 490.29, "end": 491.17, "word": " المعادلة", "probability": 0.9656982421875}, {"start": 491.17, "end": 491.75, "word": " هذه", "probability": 0.662109375}, {"start": 491.75, "end": 492.85, "word": " بتصبح", "probability": 0.7896321614583334}, {"start": 492.85, "end": 493.11, "word": " على", "probability": 0.8505859375}, {"start": 493.11, "end": 493.63, "word": " الشكل", "probability": 0.97265625}, {"start": 493.63, "end": 494.31, "word": " التالي", "probability": 0.9775390625}, {"start": 494.31, "end": 495.05, "word": " the", "probability": 0.398681640625}, {"start": 495.05, "end": 496.05, "word": " equation", "probability": 0.75341796875}, {"start": 496.05, "end": 497.67, "word": " is", "probability": 0.890625}, {"start": 497.67, "end": 498.97, "word": " الهمين", "probability": 0.5118001302083334}, {"start": 498.97, "end": 499.69, "word": " x", "probability": 0.53515625}, {"start": 499.69, "end": 500.95, "word": " ناقص", "probability": 0.891357421875}, {"start": 500.95, "end": 501.83, "word": " ناقص", "probability": 0.9573974609375}, {"start": 501.83, "end": 502.75, "word": " أربعة", "probability": 0.86083984375}, {"start": 502.75, "end": 503.75, "word": " لكل", "probability": 0.7034912109375}, {"start": 503.75, "end": 504.57, "word": " تربيع", "probability": 0.81689453125}, {"start": 504.57, "end": 505.21, "word": " على", "probability": 0.72998046875}, {"start": 505.21, "end": 505.71, "word": " ست", "probability": 0.85107421875}, {"start": 505.71, "end": 506.29, "word": " عشر", "probability": 0.6934814453125}], "temperature": 1.0}, {"id": 24, "seek": 52830, "start": 506.53, "end": 528.31, "text": "زائد واي ناقص ناقص خمسة الكل تربيع على خمسة وعشرين يساوي كده؟ يساوي واحد يبقى ها جالي هاتلي ال new question خلصنا منه بعد هيك جالي هاتلي ال center تقوله بسيطة the center", "tokens": [11622, 16373, 3215, 36764, 1829, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 2423, 28820, 6055, 2288, 21292, 3615, 15844, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 7251, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 8032, 995, 10874, 6027, 1829, 8032, 9307, 20292, 2423, 777, 1168, 16490, 1211, 9381, 8315, 9154, 3224, 39182, 39896, 4117, 10874, 6027, 1829, 8032, 9307, 20292, 2423, 3056, 6055, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 264, 3056], "avg_logprob": -0.19592696361327439, "compression_ratio": 1.6184971098265897, "no_speech_prob": 0.0, "words": [{"start": 506.53, "end": 507.41, "word": "زائد", "probability": 0.64697265625}, {"start": 507.41, "end": 507.95, "word": " واي", "probability": 0.464111328125}, {"start": 507.95, "end": 508.77, "word": " ناقص", "probability": 0.9573974609375}, {"start": 508.77, "end": 509.51, "word": " ناقص", "probability": 0.927490234375}, {"start": 509.51, "end": 510.63, "word": " خمسة", "probability": 0.951904296875}, {"start": 510.63, "end": 511.29, "word": " الكل", "probability": 0.71484375}, {"start": 511.29, "end": 511.93, "word": " تربيع", "probability": 0.7529296875}, {"start": 511.93, "end": 512.21, "word": " على", "probability": 0.7900390625}, {"start": 512.21, "end": 512.79, "word": " خمسة", "probability": 0.9451904296875}, {"start": 512.79, "end": 513.39, "word": " وعشرين", "probability": 0.8748779296875}, {"start": 513.39, "end": 513.81, "word": " يساوي", "probability": 0.84326171875}, {"start": 513.81, "end": 514.59, "word": " كده؟", "probability": 0.77734375}, {"start": 514.59, "end": 515.39, "word": " يساوي", "probability": 0.9677734375}, {"start": 515.39, "end": 515.89, "word": " واحد", "probability": 0.977783203125}, {"start": 515.89, "end": 517.57, "word": " يبقى", "probability": 0.9439697265625}, {"start": 517.57, "end": 518.41, "word": " ها", "probability": 0.58642578125}, {"start": 518.41, "end": 518.87, "word": " جالي", "probability": 0.8585611979166666}, {"start": 518.87, "end": 519.47, "word": " هاتلي", "probability": 0.9143880208333334}, {"start": 519.47, "end": 519.91, "word": " ال", "probability": 0.6513671875}, {"start": 519.91, "end": 520.13, "word": " new", "probability": 0.70556640625}, {"start": 520.13, "end": 520.71, "word": " question", "probability": 0.5556640625}, {"start": 520.71, "end": 521.37, "word": " خلصنا", "probability": 0.990966796875}, {"start": 521.37, "end": 521.89, "word": " منه", "probability": 0.982666015625}, {"start": 521.89, "end": 522.31, "word": " بعد", "probability": 0.830078125}, {"start": 522.31, "end": 522.85, "word": " هيك", "probability": 0.854248046875}, {"start": 522.85, "end": 523.41, "word": " جالي", "probability": 0.984375}, {"start": 523.41, "end": 523.77, "word": " هاتلي", "probability": 0.9820963541666666}, {"start": 523.77, "end": 523.95, "word": " ال", "probability": 0.95263671875}, {"start": 523.95, "end": 524.37, "word": " center", "probability": 0.794921875}, {"start": 524.37, "end": 525.05, "word": " تقوله", "probability": 0.5957845052083334}, {"start": 525.05, "end": 526.15, "word": " بسيطة", "probability": 0.98994140625}, {"start": 526.15, "end": 526.59, "word": " the", "probability": 0.57958984375}, {"start": 526.59, "end": 528.31, "word": " center", "probability": 0.87744140625}], "temperature": 1.0}, {"id": 25, "seek": 54339, "start": 539.15, "end": 543.39, "text": "خلصنا من السنتة جالي هات للبقرة تين", "tokens": [9778, 1211, 9381, 8315, 9154, 21136, 29399, 3660, 10874, 6027, 1829, 8032, 9307, 24976, 3555, 4587, 25720, 6055, 9957], "avg_logprob": -0.5546874791383744, "compression_ratio": 1.032258064516129, "no_speech_prob": 0.0, "words": [{"start": 539.15, "end": 540.35, "word": "خلصنا", "probability": 0.754974365234375}, {"start": 540.35, "end": 540.53, "word": " من", "probability": 0.96337890625}, {"start": 540.53, "end": 541.35, "word": " السنتة", "probability": 0.523681640625}, {"start": 541.35, "end": 541.95, "word": " جالي", "probability": 0.6433919270833334}, {"start": 541.95, "end": 542.23, "word": " هات", "probability": 0.4599609375}, {"start": 542.23, "end": 542.95, "word": " للبقرة", "probability": 0.7471923828125}, {"start": 542.95, "end": 543.39, "word": " تين", "probability": 0.5523681640625}], "temperature": 1.0}, {"id": 26, "seek": 57036, "start": 543.76, "end": 570.36, "text": "مش هنجيب له الواردين بده اعرف قداش قيمة C طب احنا عندنا هنا ال A تساوي خمسة وال B تساوي قداش أربعة بقدر اوجد C يبقى هذا بده يعطيلك ان ال B اللي هي أربعة تساوي الجدر التربيعي لمين؟ لخمسة وعشرين ناقص C تربيع", "tokens": [2304, 8592, 8032, 1863, 7435, 1829, 3555, 46740, 2423, 2407, 9640, 3215, 9957, 47525, 3224, 1975, 3615, 28480, 12174, 3215, 33599, 12174, 32640, 3660, 383, 23032, 3555, 1975, 5016, 8315, 43242, 8315, 34105, 2423, 316, 6055, 3794, 995, 45865, 16490, 2304, 3794, 3660, 16070, 363, 6055, 3794, 995, 45865, 12174, 3215, 33599, 5551, 25513, 27884, 4724, 28543, 2288, 1975, 29245, 3215, 383, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 23275, 16472, 2423, 363, 13672, 1829, 39896, 5551, 25513, 27884, 6055, 3794, 995, 45865, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 1829, 32767, 9957, 22807, 5296, 9778, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 8717, 995, 4587, 9381, 383, 6055, 25513, 40228], "avg_logprob": -0.21576087371162747, "compression_ratio": 1.8418367346938775, "no_speech_prob": 0.0, "words": [{"start": 543.76, "end": 544.14, "word": "مش", "probability": 0.54736328125}, {"start": 544.14, "end": 544.56, "word": " هنجيب", "probability": 0.760400390625}, {"start": 544.56, "end": 544.64, "word": " له", "probability": 0.493896484375}, {"start": 544.64, "end": 545.2, "word": " الواردين", "probability": 0.59453125}, {"start": 545.2, "end": 545.5, "word": " بده", "probability": 0.5115966796875}, {"start": 545.5, "end": 545.64, "word": " اعرف", "probability": 0.7727864583333334}, {"start": 545.64, "end": 546.16, "word": " قداش", "probability": 0.7664388020833334}, {"start": 546.16, "end": 546.92, "word": " قيمة", "probability": 0.98779296875}, {"start": 546.92, "end": 547.34, "word": " C", "probability": 0.62548828125}, {"start": 547.34, "end": 548.14, "word": " طب", "probability": 0.818359375}, {"start": 548.14, "end": 548.42, "word": " احنا", "probability": 0.958984375}, {"start": 548.42, "end": 548.96, "word": " عندنا", "probability": 0.98193359375}, {"start": 548.96, "end": 549.34, "word": " هنا", "probability": 0.9580078125}, {"start": 549.34, "end": 550.18, "word": " ال", "probability": 0.97265625}, {"start": 550.18, "end": 550.58, "word": " A", "probability": 0.8251953125}, {"start": 550.58, "end": 551.3, "word": " تساوي", "probability": 0.7978515625}, {"start": 551.3, "end": 552.02, "word": " خمسة", "probability": 0.90087890625}, {"start": 552.02, "end": 552.28, "word": " وال", "probability": 0.5947265625}, {"start": 552.28, "end": 552.72, "word": " B", "probability": 0.89697265625}, {"start": 552.72, "end": 553.74, "word": " تساوي", "probability": 0.960693359375}, {"start": 553.74, "end": 554.22, "word": " قداش", "probability": 0.744384765625}, {"start": 554.22, "end": 554.84, "word": " أربعة", "probability": 0.6984049479166666}, {"start": 554.84, "end": 555.92, "word": " بقدر", "probability": 0.9513346354166666}, {"start": 555.92, "end": 556.54, "word": " اوجد", "probability": 0.8243815104166666}, {"start": 556.54, "end": 557.16, "word": " C", "probability": 0.9716796875}, {"start": 557.16, "end": 558.24, "word": " يبقى", "probability": 0.9339599609375}, {"start": 558.24, "end": 558.58, "word": " هذا", "probability": 0.89453125}, {"start": 558.58, "end": 559.0, "word": " بده", "probability": 0.765625}, {"start": 559.0, "end": 559.7, "word": " يعطيلك", "probability": 0.9002685546875}, {"start": 559.7, "end": 560.46, "word": " ان", "probability": 0.8505859375}, {"start": 560.46, "end": 560.84, "word": " ال", "probability": 0.87841796875}, {"start": 560.84, "end": 561.2, "word": " B", "probability": 0.96630859375}, {"start": 561.2, "end": 561.5, "word": " اللي", "probability": 0.88916015625}, {"start": 561.5, "end": 561.72, "word": " هي", "probability": 0.49560546875}, {"start": 561.72, "end": 562.46, "word": " أربعة", "probability": 0.8857421875}, {"start": 562.46, "end": 563.44, "word": " تساوي", "probability": 0.95556640625}, {"start": 563.44, "end": 564.02, "word": " الجدر", "probability": 0.93212890625}, {"start": 564.02, "end": 565.18, "word": " التربيعي", "probability": 0.7595703125}, {"start": 565.18, "end": 566.66, "word": " لمين؟", "probability": 0.6875813802083334}, {"start": 566.66, "end": 567.64, "word": " لخمسة", "probability": 0.96015625}, {"start": 567.64, "end": 568.6, "word": " وعشرين", "probability": 0.8790283203125}, {"start": 568.6, "end": 569.48, "word": " ناقص", "probability": 0.938232421875}, {"start": 569.48, "end": 569.72, "word": " C", "probability": 0.9365234375}, {"start": 569.72, "end": 570.36, "word": " تربيع", "probability": 0.8084309895833334}], "temperature": 1.0}, {"id": 27, "seek": 59575, "start": 572.03, "end": 595.75, "text": "للأولاق اللي عندنا هذه مظبوط يبقى بدنا C ربيع يبقى بصير عندنا C تربيع يسوى خمسة وعشرين ناقص ستة عشر يبقى C تربيع يسوى تسعة يبقى C بزائد او ناقص تلاتة يبقى المسافة اللي عندنا هذه", "tokens": [1211, 1211, 10721, 12610, 995, 4587, 13672, 1829, 43242, 8315, 29538, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 47525, 8315, 383, 12602, 21292, 3615, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 43242, 8315, 383, 6055, 2288, 21292, 3615, 7251, 3794, 2407, 7578, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 8717, 995, 4587, 9381, 8608, 2655, 3660, 6225, 46309, 7251, 3555, 4587, 7578, 383, 6055, 2288, 21292, 3615, 7251, 3794, 2407, 7578, 6055, 3794, 27884, 7251, 3555, 4587, 7578, 383, 4724, 11622, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 9673, 3794, 31845, 3660, 13672, 1829, 43242, 8315, 29538], "avg_logprob": -0.17272726717320355, "compression_ratio": 2.032258064516129, "no_speech_prob": 0.0, "words": [{"start": 572.03, "end": 572.65, "word": "للأولاق", "probability": 0.5257771809895834}, {"start": 572.65, "end": 572.83, "word": " اللي", "probability": 0.8076171875}, {"start": 572.83, "end": 573.19, "word": " عندنا", "probability": 0.94482421875}, {"start": 573.19, "end": 573.49, "word": " هذه", "probability": 0.52197265625}, {"start": 573.49, "end": 574.75, "word": " مظبوط", "probability": 0.685595703125}, {"start": 574.75, "end": 575.65, "word": " يبقى", "probability": 0.91796875}, {"start": 575.65, "end": 576.21, "word": " بدنا", "probability": 0.795654296875}, {"start": 576.21, "end": 576.51, "word": " C", "probability": 0.59326171875}, {"start": 576.51, "end": 577.73, "word": " ربيع", "probability": 0.7964680989583334}, {"start": 577.73, "end": 578.31, "word": " يبقى", "probability": 0.977294921875}, {"start": 578.31, "end": 578.77, "word": " بصير", "probability": 0.962890625}, {"start": 578.77, "end": 579.37, "word": " عندنا", "probability": 0.9677734375}, {"start": 579.37, "end": 579.65, "word": " C", "probability": 0.869140625}, {"start": 579.65, "end": 580.59, "word": " تربيع", "probability": 0.84051513671875}, {"start": 580.59, "end": 581.31, "word": " يسوى", "probability": 0.7838134765625}, {"start": 581.31, "end": 581.91, "word": " خمسة", "probability": 0.9593505859375}, {"start": 581.91, "end": 582.83, "word": " وعشرين", "probability": 0.910888671875}, {"start": 582.83, "end": 583.83, "word": " ناقص", "probability": 0.9169921875}, {"start": 583.83, "end": 584.29, "word": " ستة", "probability": 0.7503255208333334}, {"start": 584.29, "end": 584.73, "word": " عشر", "probability": 0.94384765625}, {"start": 584.73, "end": 585.75, "word": " يبقى", "probability": 0.9837646484375}, {"start": 585.75, "end": 586.19, "word": " C", "probability": 0.955078125}, {"start": 586.19, "end": 587.27, "word": " تربيع", "probability": 0.94384765625}, {"start": 587.27, "end": 588.07, "word": " يسوى", "probability": 0.95166015625}, {"start": 588.07, "end": 588.71, "word": " تسعة", "probability": 0.9908854166666666}, {"start": 588.71, "end": 589.57, "word": " يبقى", "probability": 0.9913330078125}, {"start": 589.57, "end": 589.91, "word": " C", "probability": 0.96728515625}, {"start": 589.91, "end": 590.63, "word": " بزائد", "probability": 0.787353515625}, {"start": 590.63, "end": 590.89, "word": " او", "probability": 0.739990234375}, {"start": 590.89, "end": 591.67, "word": " ناقص", "probability": 0.9949951171875}, {"start": 591.67, "end": 592.79, "word": " تلاتة", "probability": 0.937744140625}, {"start": 592.79, "end": 593.61, "word": " يبقى", "probability": 0.984130859375}, {"start": 593.61, "end": 594.41, "word": " المسافة", "probability": 0.9871826171875}, {"start": 594.41, "end": 594.63, "word": " اللي", "probability": 0.95458984375}, {"start": 594.63, "end": 595.27, "word": " عندنا", "probability": 0.9921875}, {"start": 595.27, "end": 595.75, "word": " هذه", "probability": 0.85400390625}], "temperature": 1.0}, {"id": 28, "seek": 62229, "start": 597.07, "end": 622.29, "text": "بدا تكون كل هذه تلاتة والمسافة التانية لهنا بدا تكون كذلك تلاتة أنا مابديش مسافات، أنا مابدي إحداثيات، مابدي إحداثيات البقرتين قداش وإحداثيات الرأسين قداش، فباجي بقول له رفقايا خلي بالك معناه هذا", "tokens": [3555, 28259, 6055, 30544, 28242, 29538, 6055, 1211, 9307, 3660, 16070, 2304, 3794, 31845, 3660, 16712, 7649, 10632, 46740, 8315, 4724, 28259, 6055, 30544, 9122, 8848, 23275, 6055, 1211, 9307, 3660, 41850, 3714, 16758, 16254, 8592, 47524, 31845, 9307, 12399, 41850, 3714, 16758, 16254, 11933, 24401, 5718, 104, 1829, 9307, 12399, 3714, 16758, 16254, 11933, 24401, 5718, 104, 1829, 9307, 29739, 4587, 43500, 9957, 12174, 3215, 33599, 4032, 28814, 24401, 5718, 104, 1829, 9307, 34892, 10721, 3794, 9957, 12174, 3215, 33599, 12399, 6156, 3555, 26108, 1829, 4724, 39648, 46740, 12602, 5172, 4587, 995, 25528, 16490, 20292, 20666, 4117, 20449, 8315, 3224, 23758], "avg_logprob": -0.25364077264822804, "compression_ratio": 2.130952380952381, "no_speech_prob": 0.0, "words": [{"start": 597.07, "end": 597.53, "word": "بدا", "probability": 0.4986572265625}, {"start": 597.53, "end": 598.07, "word": " تكون", "probability": 0.986572265625}, {"start": 598.07, "end": 598.63, "word": " كل", "probability": 0.94091796875}, {"start": 598.63, "end": 599.13, "word": " هذه", "probability": 0.8984375}, {"start": 599.13, "end": 600.05, "word": " تلاتة", "probability": 0.9404296875}, {"start": 600.05, "end": 601.43, "word": " والمسافة", "probability": 0.86962890625}, {"start": 601.43, "end": 601.95, "word": " التانية", "probability": 0.978515625}, {"start": 601.95, "end": 602.57, "word": " لهنا", "probability": 0.824951171875}, {"start": 602.57, "end": 603.37, "word": " بدا", "probability": 0.781005859375}, {"start": 603.37, "end": 603.85, "word": " تكون", "probability": 0.98876953125}, {"start": 603.85, "end": 604.69, "word": " كذلك", "probability": 0.97705078125}, {"start": 604.69, "end": 605.45, "word": " تلاتة", "probability": 0.9820556640625}, {"start": 605.45, "end": 606.15, "word": " أنا", "probability": 0.399658203125}, {"start": 606.15, "end": 606.61, "word": " مابديش", "probability": 0.63824462890625}, {"start": 606.61, "end": 607.61, "word": " مسافات،", "probability": 0.851806640625}, {"start": 607.61, "end": 607.87, "word": " أنا", "probability": 0.57763671875}, {"start": 607.87, "end": 608.41, "word": " مابدي", "probability": 0.8792317708333334}, {"start": 608.41, "end": 610.19, "word": " إحداثيات،", "probability": 0.8894391741071429}, {"start": 610.19, "end": 610.49, "word": " مابدي", "probability": 0.970703125}, {"start": 610.49, "end": 611.25, "word": " إحداثيات", "probability": 0.993408203125}, {"start": 611.25, "end": 612.05, "word": " البقرتين", "probability": 0.816162109375}, {"start": 612.05, "end": 612.65, "word": " قداش", "probability": 0.6871744791666666}, {"start": 612.65, "end": 613.85, "word": " وإحداثيات", "probability": 0.8883231026785714}, {"start": 613.85, "end": 614.77, "word": " الرأسين", "probability": 0.953125}, {"start": 614.77, "end": 615.93, "word": " قداش،", "probability": 0.8515625}, {"start": 615.93, "end": 616.51, "word": " فباجي", "probability": 0.817626953125}, {"start": 616.51, "end": 617.07, "word": " بقول", "probability": 0.968505859375}, {"start": 617.07, "end": 617.41, "word": " له", "probability": 0.4296875}, {"start": 617.41, "end": 620.07, "word": " رفقايا", "probability": 0.342919921875}, {"start": 620.07, "end": 621.41, "word": " خلي", "probability": 0.50146484375}, {"start": 621.41, "end": 621.75, "word": " بالك", "probability": 0.931884765625}, {"start": 621.75, "end": 622.07, "word": " معناه", "probability": 0.9557291666666666}, {"start": 622.07, "end": 622.29, "word": " هذا", "probability": 0.2626953125}], "temperature": 1.0}, {"id": 29, "seek": 64983, "start": 623.11, "end": 649.83, "text": "بنجي على يحداث المركز اللي هو سالب أربعة هل سالب أربعة صار فيه تغيير؟ و الله التغيير على why؟ تغيير على why؟ و سالب خمسة زائد أو ناقص اللي طلعت عندك اللي هي جداش اللي هي تلاتة يبقى هذا بيعطينا مين البقرتين يبقى هذه شو تساوي؟", "tokens": [3555, 1863, 7435, 1829, 15844, 7251, 24401, 5718, 104, 9673, 31747, 11622, 13672, 1829, 31439, 8608, 6027, 3555, 5551, 25513, 27884, 8032, 1211, 8608, 6027, 3555, 5551, 25513, 27884, 20328, 9640, 8978, 3224, 6055, 17082, 1829, 13546, 22807, 4032, 21984, 16712, 17082, 1829, 13546, 15844, 983, 22807, 6055, 17082, 1829, 13546, 15844, 983, 22807, 4032, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 30767, 16373, 3215, 34051, 8717, 995, 4587, 9381, 13672, 1829, 23032, 1211, 34268, 43242, 4117, 13672, 1829, 39896, 10874, 3215, 33599, 13672, 1829, 39896, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 23758, 4724, 1829, 3615, 9566, 1829, 8315, 3714, 9957, 29739, 4587, 43500, 9957, 7251, 3555, 4587, 7578, 29538, 13412, 2407, 6055, 3794, 995, 45865, 22807], "avg_logprob": -0.19778645485639573, "compression_ratio": 1.9949748743718594, "no_speech_prob": 0.0, "words": [{"start": 623.11, "end": 623.75, "word": "بنجي", "probability": 0.67510986328125}, {"start": 623.75, "end": 624.07, "word": " على", "probability": 0.853515625}, {"start": 624.07, "end": 624.69, "word": " يحداث", "probability": 0.77197265625}, {"start": 624.69, "end": 625.73, "word": " المركز", "probability": 0.97314453125}, {"start": 625.73, "end": 626.23, "word": " اللي", "probability": 0.8564453125}, {"start": 626.23, "end": 626.63, "word": " هو", "probability": 0.87451171875}, {"start": 626.63, "end": 627.21, "word": " سالب", "probability": 0.7672526041666666}, {"start": 627.21, "end": 627.89, "word": " أربعة", "probability": 0.7762044270833334}, {"start": 627.89, "end": 628.71, "word": " هل", "probability": 0.770751953125}, {"start": 628.71, "end": 629.41, "word": " سالب", "probability": 0.97802734375}, {"start": 629.41, "end": 630.23, "word": " أربعة", "probability": 0.94140625}, {"start": 630.23, "end": 631.05, "word": " صار", "probability": 0.974365234375}, {"start": 631.05, "end": 631.39, "word": " فيه", "probability": 0.9677734375}, {"start": 631.39, "end": 632.23, "word": " تغيير؟", "probability": 0.84775390625}, {"start": 632.23, "end": 632.51, "word": " و", "probability": 0.331787109375}, {"start": 632.51, "end": 632.67, "word": " الله", "probability": 0.95361328125}, {"start": 632.67, "end": 633.11, "word": " التغيير", "probability": 0.9051513671875}, {"start": 633.11, "end": 633.35, "word": " على", "probability": 0.869140625}, {"start": 633.35, "end": 633.97, "word": " why؟", "probability": 0.47021484375}, {"start": 633.97, "end": 634.61, "word": " تغيير", "probability": 0.8922119140625}, {"start": 634.61, "end": 634.87, "word": " على", "probability": 0.95654296875}, {"start": 634.87, "end": 635.75, "word": " why؟", "probability": 0.864990234375}, {"start": 635.75, "end": 636.13, "word": " و", "probability": 0.7041015625}, {"start": 636.13, "end": 637.41, "word": " سالب", "probability": 0.9658203125}, {"start": 637.41, "end": 638.21, "word": " خمسة", "probability": 0.9791259765625}, {"start": 638.21, "end": 639.09, "word": " زائد", "probability": 0.9615885416666666}, {"start": 639.09, "end": 639.37, "word": " أو", "probability": 0.81787109375}, {"start": 639.37, "end": 640.09, "word": " ناقص", "probability": 0.9776611328125}, {"start": 640.09, "end": 640.43, "word": " اللي", "probability": 0.55438232421875}, {"start": 640.43, "end": 640.97, "word": " طلعت", "probability": 0.8414713541666666}, {"start": 640.97, "end": 641.41, "word": " عندك", "probability": 0.98876953125}, {"start": 641.41, "end": 641.55, "word": " اللي", "probability": 0.848388671875}, {"start": 641.55, "end": 641.69, "word": " هي", "probability": 0.623046875}, {"start": 641.69, "end": 642.39, "word": " جداش", "probability": 0.7731119791666666}, {"start": 642.39, "end": 643.19, "word": " اللي", "probability": 0.804931640625}, {"start": 643.19, "end": 643.43, "word": " هي", "probability": 0.853515625}, {"start": 643.43, "end": 644.17, "word": " تلاتة", "probability": 0.9185791015625}, {"start": 644.17, "end": 644.73, "word": " يبقى", "probability": 0.93115234375}, {"start": 644.73, "end": 644.99, "word": " هذا", "probability": 0.84619140625}, {"start": 644.99, "end": 645.51, "word": " بيعطينا", "probability": 0.7590738932291666}, {"start": 645.51, "end": 645.81, "word": " مين", "probability": 0.877685546875}, {"start": 645.81, "end": 647.13, "word": " البقرتين", "probability": 0.68408203125}, {"start": 647.13, "end": 648.09, "word": " يبقى", "probability": 0.903564453125}, {"start": 648.09, "end": 648.41, "word": " هذه", "probability": 0.59423828125}, {"start": 648.41, "end": 648.89, "word": " شو", "probability": 0.9287109375}, {"start": 648.89, "end": 649.83, "word": " تساوي؟", "probability": 0.970703125}], "temperature": 1.0}, {"id": 30, "seek": 67351, "start": 649.85, "end": 673.51, "text": "يبقى هذه تساوي سالب أربعة سالب خمسة وزائد تلاتة بسالب اتنين and سالب أربعة وسالب تمانية إذا صارت البقرة هذه سالب أربعة وسالب تمانية والبقرة اللي عندنا هذه سالب أربعة وسالب اتنين", "tokens": [1829, 3555, 4587, 7578, 29538, 6055, 3794, 995, 45865, 8608, 6027, 3555, 5551, 25513, 27884, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 4032, 11622, 16373, 3215, 6055, 1211, 9307, 3660, 4724, 3794, 6027, 3555, 1975, 2655, 1863, 9957, 293, 8608, 6027, 3555, 5551, 25513, 27884, 46952, 6027, 3555, 46811, 7649, 10632, 11933, 15730, 20328, 9640, 2655, 29739, 4587, 25720, 29538, 8608, 6027, 3555, 5551, 25513, 27884, 46952, 6027, 3555, 46811, 7649, 10632, 16070, 3555, 4587, 25720, 13672, 1829, 43242, 8315, 29538, 8608, 6027, 3555, 5551, 25513, 27884, 46952, 6027, 3555, 1975, 2655, 1863, 9957], "avg_logprob": -0.12006578806199525, "compression_ratio": 2.2535211267605635, "no_speech_prob": 0.0, "words": [{"start": 649.85, "end": 650.77, "word": "يبقى", "probability": 0.92724609375}, {"start": 650.77, "end": 651.11, "word": " هذه", "probability": 0.81640625}, {"start": 651.11, "end": 651.91, "word": " تساوي", "probability": 0.9405517578125}, {"start": 651.91, "end": 652.73, "word": " سالب", "probability": 0.6732584635416666}, {"start": 652.73, "end": 653.35, "word": " أربعة", "probability": 0.78857421875}, {"start": 653.35, "end": 654.09, "word": " سالب", "probability": 0.8984375}, {"start": 654.09, "end": 654.61, "word": " خمسة", "probability": 0.9854736328125}, {"start": 654.61, "end": 655.13, "word": " وزائد", "probability": 0.8408203125}, {"start": 655.13, "end": 655.65, "word": " تلاتة", "probability": 0.961181640625}, {"start": 655.65, "end": 656.27, "word": " بسالب", "probability": 0.8746337890625}, {"start": 656.27, "end": 657.15, "word": " اتنين", "probability": 0.93994140625}, {"start": 657.15, "end": 658.01, "word": " and", "probability": 0.78466796875}, {"start": 658.01, "end": 658.99, "word": " سالب", "probability": 0.9768880208333334}, {"start": 658.99, "end": 659.79, "word": " أربعة", "probability": 0.8466796875}, {"start": 659.79, "end": 661.05, "word": " وسالب", "probability": 0.8213704427083334}, {"start": 661.05, "end": 661.75, "word": " تمانية", "probability": 0.9803059895833334}, {"start": 661.75, "end": 662.53, "word": " إذا", "probability": 0.7900390625}, {"start": 662.53, "end": 663.17, "word": " صارت", "probability": 0.916015625}, {"start": 663.17, "end": 663.87, "word": " البقرة", "probability": 0.9112955729166666}, {"start": 663.87, "end": 664.47, "word": " هذه", "probability": 0.90380859375}, {"start": 664.47, "end": 665.39, "word": " سالب", "probability": 0.9842122395833334}, {"start": 665.39, "end": 666.01, "word": " أربعة", "probability": 0.9168294270833334}, {"start": 666.01, "end": 666.63, "word": " وسالب", "probability": 0.9148763020833334}, {"start": 666.63, "end": 667.33, "word": " تمانية", "probability": 0.9899088541666666}, {"start": 667.33, "end": 668.43, "word": " والبقرة", "probability": 0.85784912109375}, {"start": 668.43, "end": 668.61, "word": " اللي", "probability": 0.8369140625}, {"start": 668.61, "end": 669.05, "word": " عندنا", "probability": 0.99365234375}, {"start": 669.05, "end": 669.31, "word": " هذه", "probability": 0.7841796875}, {"start": 669.31, "end": 670.15, "word": " سالب", "probability": 0.78369140625}, {"start": 670.15, "end": 670.95, "word": " أربعة", "probability": 0.9397786458333334}, {"start": 670.95, "end": 672.51, "word": " وسالب", "probability": 0.9637044270833334}, {"start": 672.51, "end": 673.51, "word": " اتنين", "probability": 0.9356689453125}], "temperature": 1.0}, {"id": 31, "seek": 68889, "start": 673.97, "end": 688.89, "text": "جبت له إحداثيات البورتين، بدي إحداثيات الرأسين خلصنا الفوكاي، بدنا نيجي لل vertices فبروح بقول له the vertices are", "tokens": [7435, 3555, 2655, 46740, 11933, 24401, 5718, 104, 1829, 9307, 29739, 13063, 2655, 9957, 12399, 4724, 16254, 11933, 24401, 5718, 104, 1829, 9307, 34892, 10721, 3794, 9957, 16490, 1211, 9381, 8315, 27188, 2407, 4117, 47302, 12399, 47525, 8315, 8717, 1829, 7435, 1829, 24976, 32053, 6156, 26890, 2407, 5016, 4724, 39648, 46740, 264, 32053, 366], "avg_logprob": -0.27556818398562344, "compression_ratio": 1.4461538461538461, "no_speech_prob": 0.0, "words": [{"start": 673.97, "end": 674.47, "word": "جبت", "probability": 0.4627482096354167}, {"start": 674.47, "end": 674.61, "word": " له", "probability": 0.5537109375}, {"start": 674.61, "end": 675.39, "word": " إحداثيات", "probability": 0.8976236979166666}, {"start": 675.39, "end": 676.27, "word": " البورتين،", "probability": 0.624658203125}, {"start": 676.27, "end": 676.49, "word": " بدي", "probability": 0.6126708984375}, {"start": 676.49, "end": 677.69, "word": " إحداثيات", "probability": 0.9899088541666666}, {"start": 677.69, "end": 679.39, "word": " الرأسين", "probability": 0.9586181640625}, {"start": 679.39, "end": 680.45, "word": " خلصنا", "probability": 0.85693359375}, {"start": 680.45, "end": 681.61, "word": " الفوكاي،", "probability": 0.7248046875}, {"start": 681.61, "end": 681.93, "word": " بدنا", "probability": 0.9501953125}, {"start": 681.93, "end": 682.19, "word": " نيجي", "probability": 0.972900390625}, {"start": 682.19, "end": 682.43, "word": " لل", "probability": 0.9072265625}, {"start": 682.43, "end": 683.07, "word": " vertices", "probability": 0.480224609375}, {"start": 683.07, "end": 684.19, "word": " فبروح", "probability": 0.857421875}, {"start": 684.19, "end": 684.69, "word": " بقول", "probability": 0.934326171875}, {"start": 684.69, "end": 684.95, "word": " له", "probability": 0.45947265625}, {"start": 684.95, "end": 685.31, "word": " the", "probability": 0.66162109375}, {"start": 685.31, "end": 687.27, "word": " vertices", "probability": 0.96337890625}, {"start": 687.27, "end": 688.89, "word": " are", "probability": 0.89990234375}], "temperature": 1.0}, {"id": 32, "seek": 70844, "start": 690.22, "end": 708.44, "text": "بنفس الطريقة ناقص أربعة مالاش دعوة وبعد هيك اللي هو ناقص خمسة أضفنا عليها من اللي هي a يبقى a اللي بيصير زائد أو ناقص خمسة", "tokens": [3555, 1863, 36178, 41950, 16572, 28671, 8717, 995, 4587, 9381, 5551, 25513, 27884, 3714, 6027, 33599, 11778, 3615, 2407, 3660, 46599, 22488, 39896, 4117, 13672, 1829, 31439, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 5551, 11242, 5172, 8315, 25894, 11296, 9154, 13672, 1829, 39896, 257, 7251, 3555, 4587, 7578, 257, 13672, 1829, 4724, 1829, 9381, 13546, 30767, 16373, 3215, 34051, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660], "avg_logprob": -0.18158482036420276, "compression_ratio": 1.631578947368421, "no_speech_prob": 0.0, "words": [{"start": 690.22, "end": 690.82, "word": "بنفس", "probability": 0.96044921875}, {"start": 690.82, "end": 691.56, "word": " الطريقة", "probability": 0.9908854166666666}, {"start": 691.56, "end": 692.44, "word": " ناقص", "probability": 0.692718505859375}, {"start": 692.44, "end": 692.8, "word": " أربعة", "probability": 0.7510579427083334}, {"start": 692.8, "end": 693.24, "word": " مالاش", "probability": 0.72998046875}, {"start": 693.24, "end": 694.0, "word": " دعوة", "probability": 0.71160888671875}, {"start": 694.0, "end": 694.84, "word": " وبعد", "probability": 0.751953125}, {"start": 694.84, "end": 695.56, "word": " هيك", "probability": 0.630615234375}, {"start": 695.56, "end": 695.84, "word": " اللي", "probability": 0.9140625}, {"start": 695.84, "end": 696.1, "word": " هو", "probability": 0.97216796875}, {"start": 696.1, "end": 696.98, "word": " ناقص", "probability": 0.990966796875}, {"start": 696.98, "end": 698.06, "word": " خمسة", "probability": 0.9603271484375}, {"start": 698.06, "end": 698.86, "word": " أضفنا", "probability": 0.7412109375}, {"start": 698.86, "end": 699.5, "word": " عليها", "probability": 0.9833984375}, {"start": 699.5, "end": 700.0, "word": " من", "probability": 0.98388671875}, {"start": 700.0, "end": 700.68, "word": " اللي", "probability": 0.946533203125}, {"start": 700.68, "end": 701.06, "word": " هي", "probability": 0.9111328125}, {"start": 701.06, "end": 701.74, "word": " a", "probability": 0.339111328125}, {"start": 701.74, "end": 702.9, "word": " يبقى", "probability": 0.9547119140625}, {"start": 702.9, "end": 703.34, "word": " a", "probability": 0.87548828125}, {"start": 703.34, "end": 703.96, "word": " اللي", "probability": 0.98291015625}, {"start": 703.96, "end": 704.64, "word": " بيصير", "probability": 0.8868408203125}, {"start": 704.64, "end": 706.56, "word": " زائد", "probability": 0.8234049479166666}, {"start": 706.56, "end": 706.9, "word": " أو", "probability": 0.64990234375}, {"start": 706.9, "end": 707.74, "word": " ناقص", "probability": 0.9952392578125}, {"start": 707.74, "end": 708.44, "word": " خمسة", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 33, "seek": 73692, "start": 708.76, "end": 736.92, "text": "يبقى هذه بدها تساوي مين؟ سالب أربعة هو Zero and التانية سالب أربعة و سالب عشرة يبقى هذه النقطة اللي هي سالب أربعة و سالب عشرة هذه النقطة اللي هي سالب أربعة و Zero اللي هو الرأسين يبقى هذا المطلوب الأخير من المثلة", "tokens": [1829, 3555, 4587, 7578, 29538, 47525, 11296, 6055, 3794, 995, 45865, 3714, 9957, 22807, 8608, 6027, 3555, 5551, 25513, 27884, 31439, 17182, 293, 16712, 7649, 10632, 8608, 6027, 3555, 5551, 25513, 27884, 4032, 8608, 6027, 3555, 6225, 8592, 25720, 7251, 3555, 4587, 7578, 29538, 28239, 47432, 3660, 13672, 1829, 39896, 8608, 6027, 3555, 5551, 25513, 27884, 4032, 8608, 6027, 3555, 6225, 8592, 25720, 29538, 28239, 47432, 3660, 13672, 1829, 39896, 8608, 6027, 3555, 5551, 25513, 27884, 4032, 17182, 13672, 1829, 31439, 34892, 10721, 3794, 9957, 7251, 3555, 4587, 7578, 23758, 9673, 9566, 1211, 37746, 16247, 9778, 13546, 9154, 9673, 12984, 37977], "avg_logprob": -0.1643688687506844, "compression_ratio": 2.2621951219512195, "no_speech_prob": 0.0, "words": [{"start": 708.76, "end": 709.4, "word": "يبقى", "probability": 0.8594970703125}, {"start": 709.4, "end": 709.8, "word": " هذه", "probability": 0.7041015625}, {"start": 709.8, "end": 710.38, "word": " بدها", "probability": 0.5286865234375}, {"start": 710.38, "end": 711.0, "word": " تساوي", "probability": 0.904296875}, {"start": 711.0, "end": 711.82, "word": " مين؟", "probability": 0.6895345052083334}, {"start": 711.82, "end": 712.44, "word": " سالب", "probability": 0.8181966145833334}, {"start": 712.44, "end": 713.2, "word": " أربعة", "probability": 0.8660481770833334}, {"start": 713.2, "end": 713.72, "word": " هو", "probability": 0.6708984375}, {"start": 713.72, "end": 715.12, "word": " Zero", "probability": 0.351806640625}, {"start": 715.12, "end": 716.78, "word": " and", "probability": 0.609375}, {"start": 716.78, "end": 718.42, "word": " التانية", "probability": 0.8722330729166666}, {"start": 718.42, "end": 719.44, "word": " سالب", "probability": 0.9715169270833334}, {"start": 719.44, "end": 720.3, "word": " أربعة", "probability": 0.93603515625}, {"start": 720.3, "end": 720.78, "word": " و", "probability": 0.3818359375}, {"start": 720.78, "end": 721.84, "word": " سالب", "probability": 0.9111328125}, {"start": 721.84, "end": 722.44, "word": " عشرة", "probability": 0.9195963541666666}, {"start": 722.44, "end": 723.44, "word": " يبقى", "probability": 0.949462890625}, {"start": 723.44, "end": 723.78, "word": " هذه", "probability": 0.8544921875}, {"start": 723.78, "end": 724.44, "word": " النقطة", "probability": 0.9661458333333334}, {"start": 724.44, "end": 724.58, "word": " اللي", "probability": 0.78515625}, {"start": 724.58, "end": 724.84, "word": " هي", "probability": 0.783203125}, {"start": 724.84, "end": 725.34, "word": " سالب", "probability": 0.9729817708333334}, {"start": 725.34, "end": 725.98, "word": " أربعة", "probability": 0.9635416666666666}, {"start": 725.98, "end": 726.54, "word": " و", "probability": 0.6552734375}, {"start": 726.54, "end": 727.2, "word": " سالب", "probability": 0.9669596354166666}, {"start": 727.2, "end": 727.86, "word": " عشرة", "probability": 0.96630859375}, {"start": 727.86, "end": 728.56, "word": " هذه", "probability": 0.2666015625}, {"start": 728.56, "end": 729.06, "word": " النقطة", "probability": 0.9773763020833334}, {"start": 729.06, "end": 729.2, "word": " اللي", "probability": 0.9755859375}, {"start": 729.2, "end": 729.4, "word": " هي", "probability": 0.98828125}, {"start": 729.4, "end": 729.96, "word": " سالب", "probability": 0.9833984375}, {"start": 729.96, "end": 730.74, "word": " أربعة", "probability": 0.9617513020833334}, {"start": 730.74, "end": 731.36, "word": " و", "probability": 0.97412109375}, {"start": 731.36, "end": 731.82, "word": " Zero", "probability": 0.8974609375}, {"start": 731.82, "end": 732.06, "word": " اللي", "probability": 0.9619140625}, {"start": 732.06, "end": 732.28, "word": " هو", "probability": 0.98095703125}, {"start": 732.28, "end": 733.06, "word": " الرأسين", "probability": 0.83453369140625}, {"start": 733.06, "end": 733.86, "word": " يبقى", "probability": 0.9627685546875}, {"start": 733.86, "end": 734.14, "word": " هذا", "probability": 0.9619140625}, {"start": 734.14, "end": 734.72, "word": " المطلوب", "probability": 0.777587890625}, {"start": 734.72, "end": 735.68, "word": " الأخير", "probability": 0.8483072916666666}, {"start": 735.68, "end": 736.06, "word": " من", "probability": 0.978515625}, {"start": 736.06, "end": 736.92, "word": " المثلة", "probability": 0.8388671875}], "temperature": 1.0}, {"id": 34, "seek": 76211, "start": 737.49, "end": 762.11, "text": "هل يوجد أحد هنا يتساءل؟ نفسنا كيف رسمنا الرسمة من المعطيات اللي موجودة و بعد ذلك عملنا ال shift اللي قال عنه و فصلت الرسمة على الشكل هذا بعدها بجيب أحدث ال vertices للرسمة الجديدة و ال foci للرسمة الجديدة", "tokens": [3224, 1211, 7251, 29245, 3215, 5551, 24401, 34105, 7251, 2655, 3794, 16606, 1211, 22807, 8717, 36178, 8315, 9122, 33911, 12602, 38251, 8315, 34892, 38251, 3660, 9154, 9673, 3615, 9566, 1829, 9307, 13672, 1829, 3714, 29245, 23328, 3660, 4032, 39182, 29910, 23275, 6225, 42213, 8315, 2423, 5513, 13672, 1829, 50239, 18871, 3224, 4032, 6156, 9381, 1211, 2655, 34892, 38251, 3660, 15844, 25124, 28820, 23758, 39182, 11296, 4724, 7435, 1829, 3555, 5551, 24401, 12984, 2423, 32053, 24976, 2288, 38251, 3660, 25724, 16254, 41891, 4032, 2423, 726, 537, 24976, 2288, 38251, 3660, 25724, 16254, 41891], "avg_logprob": -0.35248656170342557, "compression_ratio": 1.8238341968911918, "no_speech_prob": 0.0, "words": [{"start": 737.49, "end": 737.83, "word": "هل", "probability": 0.28973388671875}, {"start": 737.83, "end": 737.83, "word": " يوجد", "probability": 0.5042724609375}, {"start": 737.83, "end": 737.83, "word": " أحد", "probability": 0.7529296875}, {"start": 737.83, "end": 738.05, "word": " هنا", "probability": 0.2247314453125}, {"start": 738.05, "end": 740.15, "word": " يتساءل؟", "probability": 0.744384765625}, {"start": 740.15, "end": 746.25, "word": " نفسنا", "probability": 0.4446207682291667}, {"start": 746.25, "end": 746.57, "word": " كيف", "probability": 0.882080078125}, {"start": 746.57, "end": 747.11, "word": " رسمنا", "probability": 0.9436848958333334}, {"start": 747.11, "end": 747.59, "word": " الرسمة", "probability": 0.89990234375}, {"start": 747.59, "end": 747.77, "word": " من", "probability": 0.85400390625}, {"start": 747.77, "end": 748.65, "word": " المعطيات", "probability": 0.83525390625}, {"start": 748.65, "end": 749.43, "word": " اللي", "probability": 0.47894287109375}, {"start": 749.43, "end": 750.15, "word": " موجودة", "probability": 0.84014892578125}, {"start": 750.15, "end": 750.85, "word": " و", "probability": 0.287109375}, {"start": 750.85, "end": 751.21, "word": " بعد", "probability": 0.62109375}, {"start": 751.21, "end": 751.51, "word": " ذلك", "probability": 0.6787109375}, {"start": 751.51, "end": 752.05, "word": " عملنا", "probability": 0.8522135416666666}, {"start": 752.05, "end": 752.17, "word": " ال", "probability": 0.338623046875}, {"start": 752.17, "end": 752.43, "word": " shift", "probability": 0.83447265625}, {"start": 752.43, "end": 752.75, "word": " اللي", "probability": 0.9248046875}, {"start": 752.75, "end": 752.99, "word": " قال", "probability": 0.8115234375}, {"start": 752.99, "end": 753.41, "word": " عنه", "probability": 0.919189453125}, {"start": 753.41, "end": 753.51, "word": " و", "probability": 0.61376953125}, {"start": 753.51, "end": 753.95, "word": " فصلت", "probability": 0.66387939453125}, {"start": 753.95, "end": 754.47, "word": " الرسمة", "probability": 0.9705403645833334}, {"start": 754.47, "end": 754.59, "word": " على", "probability": 0.5029296875}, {"start": 754.59, "end": 754.95, "word": " الشكل", "probability": 0.90869140625}, {"start": 754.95, "end": 755.29, "word": " هذا", "probability": 0.89404296875}, {"start": 755.29, "end": 756.19, "word": " بعدها", "probability": 0.55657958984375}, {"start": 756.19, "end": 756.65, "word": " بجيب", "probability": 0.69610595703125}, {"start": 756.65, "end": 757.05, "word": " أحدث", "probability": 0.80712890625}, {"start": 757.05, "end": 757.23, "word": " ال", "probability": 0.97412109375}, {"start": 757.23, "end": 757.77, "word": " vertices", "probability": 0.96337890625}, {"start": 757.77, "end": 759.09, "word": " للرسمة", "probability": 0.905517578125}, {"start": 759.09, "end": 759.69, "word": " الجديدة", "probability": 0.9845377604166666}, {"start": 759.69, "end": 759.87, "word": " و", "probability": 0.806640625}, {"start": 759.87, "end": 760.05, "word": " ال", "probability": 0.7255859375}, {"start": 760.05, "end": 760.69, "word": " foci", "probability": 0.569580078125}, {"start": 760.69, "end": 761.51, "word": " للرسمة", "probability": 0.9793701171875}, {"start": 761.51, "end": 762.11, "word": " الجديدة", "probability": 0.9889322916666666}], "temperature": 1.0}, {"id": 35, "seek": 79202, "start": 762.88, "end": 792.02, "text": "بس قبل ما اقدرش، صحيح ولا لا؟ يبقى يا شباب، بدك ترسم حتى لو ما جالكش ارسم، الرسم يسهل عملية الحل، وبتحط كل نقطة في موقعها فعلا طيب، ابنروح لمثال تلاتة، يبقى مثال تلاتة بيقول لي find the center والبورتين فكاي", "tokens": [3555, 3794, 12174, 36150, 19446, 1975, 28543, 2288, 8592, 12399, 20328, 5016, 1829, 5016, 49429, 20193, 22807, 7251, 3555, 4587, 7578, 35186, 13412, 3555, 16758, 12399, 47525, 4117, 6055, 2288, 38251, 11331, 49975, 45164, 19446, 10874, 6027, 4117, 8592, 1975, 2288, 38251, 12399, 34892, 38251, 7251, 3794, 3224, 1211, 6225, 42213, 10632, 21542, 1211, 12399, 46599, 2655, 5016, 9566, 28242, 8717, 47432, 3660, 8978, 3714, 30543, 3615, 11296, 6156, 3615, 15040, 23032, 1829, 3555, 12399, 48127, 1863, 32887, 5016, 32767, 12984, 6027, 6055, 1211, 9307, 3660, 12399, 7251, 3555, 4587, 7578, 50113, 6027, 6055, 1211, 9307, 3660, 4724, 1829, 39648, 32239, 915, 264, 3056, 16070, 3555, 13063, 2655, 9957, 6156, 4117, 47302], "avg_logprob": -0.22566371259436144, "compression_ratio": 1.6559633027522935, "no_speech_prob": 0.0, "words": [{"start": 762.88, "end": 763.18, "word": "بس", "probability": 0.7705078125}, {"start": 763.18, "end": 763.48, "word": " قبل", "probability": 0.730712890625}, {"start": 763.48, "end": 763.62, "word": " ما", "probability": 0.56640625}, {"start": 763.62, "end": 764.5, "word": " اقدرش،", "probability": 0.711181640625}, {"start": 764.5, "end": 764.86, "word": " صحيح", "probability": 0.987060546875}, {"start": 764.86, "end": 765.02, "word": " ولا", "probability": 0.76513671875}, {"start": 765.02, "end": 765.84, "word": " لا؟", "probability": 0.81591796875}, {"start": 765.84, "end": 766.16, "word": " يبقى", "probability": 0.9420166015625}, {"start": 766.16, "end": 766.32, "word": " يا", "probability": 0.453369140625}, {"start": 766.32, "end": 767.02, "word": " شباب،", "probability": 0.9403076171875}, {"start": 767.02, "end": 767.38, "word": " بدك", "probability": 0.8662109375}, {"start": 767.38, "end": 767.74, "word": " ترسم", "probability": 0.9856770833333334}, {"start": 767.74, "end": 768.18, "word": " حتى", "probability": 0.914794921875}, {"start": 768.18, "end": 768.38, "word": " لو", "probability": 0.98681640625}, {"start": 768.38, "end": 768.48, "word": " ما", "probability": 0.54736328125}, {"start": 768.48, "end": 769.02, "word": " جالكش", "probability": 0.7894287109375}, {"start": 769.02, "end": 769.84, "word": " ارسم،", "probability": 0.70574951171875}, {"start": 769.84, "end": 770.42, "word": " الرسم", "probability": 0.91845703125}, {"start": 770.42, "end": 771.24, "word": " يسهل", "probability": 0.9666748046875}, {"start": 771.24, "end": 772.08, "word": " عملية", "probability": 0.9503580729166666}, {"start": 772.08, "end": 773.08, "word": " الحل،", "probability": 0.8015950520833334}, {"start": 773.08, "end": 773.76, "word": " وبتحط", "probability": 0.85540771484375}, {"start": 773.76, "end": 774.1, "word": " كل", "probability": 0.98974609375}, {"start": 774.1, "end": 774.62, "word": " نقطة", "probability": 0.93115234375}, {"start": 774.62, "end": 774.82, "word": " في", "probability": 0.9052734375}, {"start": 774.82, "end": 775.58, "word": " موقعها", "probability": 0.9813232421875}, {"start": 775.58, "end": 776.32, "word": " فعلا", "probability": 0.9441731770833334}, {"start": 776.32, "end": 778.2, "word": " طيب،", "probability": 0.7861328125}, {"start": 778.2, "end": 778.84, "word": " ابنروح", "probability": 0.773193359375}, {"start": 778.84, "end": 779.66, "word": " لمثال", "probability": 0.9612630208333334}, {"start": 779.66, "end": 780.96, "word": " تلاتة،", "probability": 0.86845703125}, {"start": 780.96, "end": 781.4, "word": " يبقى", "probability": 0.9808349609375}, {"start": 781.4, "end": 782.0, "word": " مثال", "probability": 0.981201171875}, {"start": 782.0, "end": 782.9, "word": " تلاتة", "probability": 0.9940185546875}, {"start": 782.9, "end": 783.76, "word": " بيقول", "probability": 0.8756510416666666}, {"start": 783.76, "end": 783.96, "word": " لي", "probability": 0.20947265625}, {"start": 783.96, "end": 784.66, "word": " find", "probability": 0.23095703125}, {"start": 784.66, "end": 786.36, "word": " the", "probability": 0.6396484375}, {"start": 786.36, "end": 787.86, "word": " center", "probability": 0.779296875}, {"start": 787.86, "end": 790.64, "word": " والبورتين", "probability": 0.68563232421875}, {"start": 790.64, "end": 792.02, "word": " فكاي", "probability": 0.5174967447916666}], "temperature": 1.0}, {"id": 36, "seek": 81020, "start": 792.92, "end": 810.2, "text": "والرأسين اللي هم and vertices of the ellipse، ال ellipse اللي همين", "tokens": [2407, 6027, 2288, 10721, 3794, 9957, 13672, 1829, 8032, 2304, 293, 32053, 295, 264, 8284, 48041, 12399, 2423, 8284, 48041, 13672, 1829, 8032, 2304, 9957], "avg_logprob": -0.2728365361690521, "compression_ratio": 1.2297297297297298, "no_speech_prob": 0.0, "words": [{"start": 792.92, "end": 794.5, "word": "والرأسين", "probability": 0.852294921875}, {"start": 794.5, "end": 795.62, "word": " اللي", "probability": 0.843017578125}, {"start": 795.62, "end": 796.06, "word": " هم", "probability": 0.79833984375}, {"start": 796.06, "end": 797.14, "word": " and", "probability": 0.646484375}, {"start": 797.14, "end": 799.82, "word": " vertices", "probability": 0.483154296875}, {"start": 799.82, "end": 803.14, "word": " of", "probability": 0.97802734375}, {"start": 803.14, "end": 805.04, "word": " the", "probability": 0.56396484375}, {"start": 805.04, "end": 807.26, "word": " ellipse،", "probability": 0.7425130208333334}, {"start": 807.26, "end": 808.12, "word": " ال", "probability": 0.2734375}, {"start": 808.12, "end": 808.86, "word": " ellipse", "probability": 0.87158203125}, {"start": 808.86, "end": 809.66, "word": " اللي", "probability": 0.91650390625}, {"start": 809.66, "end": 810.2, "word": " همين", "probability": 0.9490559895833334}], "temperature": 1.0}, {"id": 37, "seek": 83557, "start": 812.55, "end": 835.57, "text": "تسعة X تربيع تسعة X تربيع زائد ستة عشر Y تربيع زائد اربعة و خمسين X اربعة و خمسين X ناقص اتنين و تلاتين Y ناقص سبعة و اربعين تساوي Zero", "tokens": [2655, 3794, 27884, 1783, 6055, 2288, 21292, 3615, 6055, 3794, 27884, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 8608, 2655, 3660, 6225, 46309, 398, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 1975, 25513, 27884, 4032, 16490, 2304, 3794, 9957, 1783, 1975, 25513, 27884, 4032, 16490, 2304, 3794, 9957, 1783, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 9957, 398, 8717, 995, 4587, 9381, 8608, 3555, 27884, 4032, 1975, 25513, 3615, 9957, 6055, 3794, 995, 45865, 17182], "avg_logprob": -0.16025152638918017, "compression_ratio": 1.9327731092436975, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 812.55, "end": 813.19, "word": "تسعة", "probability": 0.746337890625}, {"start": 813.19, "end": 813.49, "word": " X", "probability": 0.40673828125}, {"start": 813.49, "end": 814.41, "word": " تربيع", "probability": 0.8011474609375}, {"start": 814.41, "end": 815.63, "word": " تسعة", "probability": 0.778076171875}, {"start": 815.63, "end": 815.91, "word": " X", "probability": 0.935546875}, {"start": 815.91, "end": 816.69, "word": " تربيع", "probability": 0.943603515625}, {"start": 816.69, "end": 817.75, "word": " زائد", "probability": 0.6460774739583334}, {"start": 817.75, "end": 818.27, "word": " ستة", "probability": 0.8678385416666666}, {"start": 818.27, "end": 818.75, "word": " عشر", "probability": 0.870361328125}, {"start": 818.75, "end": 819.11, "word": " Y", "probability": 0.96826171875}, {"start": 819.11, "end": 820.03, "word": " تربيع", "probability": 0.953857421875}, {"start": 820.03, "end": 821.47, "word": " زائد", "probability": 0.9456380208333334}, {"start": 821.47, "end": 822.17, "word": " اربعة", "probability": 0.71435546875}, {"start": 822.17, "end": 822.43, "word": " و", "probability": 0.98583984375}, {"start": 822.43, "end": 823.37, "word": " خمسين", "probability": 0.94287109375}, {"start": 823.37, "end": 824.17, "word": " X", "probability": 0.974609375}, {"start": 824.17, "end": 825.75, "word": " اربعة", "probability": 0.91943359375}, {"start": 825.75, "end": 825.91, "word": " و", "probability": 0.998046875}, {"start": 825.91, "end": 826.65, "word": " خمسين", "probability": 0.989990234375}, {"start": 826.65, "end": 827.25, "word": " X", "probability": 0.98095703125}, {"start": 827.25, "end": 828.47, "word": " ناقص", "probability": 0.8768310546875}, {"start": 828.47, "end": 829.01, "word": " اتنين", "probability": 0.9747314453125}, {"start": 829.01, "end": 829.21, "word": " و", "probability": 0.87060546875}, {"start": 829.21, "end": 830.13, "word": " تلاتين", "probability": 0.977294921875}, {"start": 830.13, "end": 830.91, "word": " Y", "probability": 0.9912109375}, {"start": 830.91, "end": 832.23, "word": " ناقص", "probability": 0.978759765625}, {"start": 832.23, "end": 833.05, "word": " سبعة", "probability": 0.9703776041666666}, {"start": 833.05, "end": 833.19, "word": " و", "probability": 0.9951171875}, {"start": 833.19, "end": 834.07, "word": " اربعين", "probability": 0.904296875}, {"start": 834.07, "end": 835.15, "word": " تساوي", "probability": 0.939208984375}, {"start": 835.15, "end": 835.57, "word": " Zero", "probability": 0.12445068359375}], "temperature": 1.0}, {"id": 38, "seek": 87564, "start": 854.44, "end": 875.64, "text": "نعود لسؤالنا المعادلة في صيغتها العامة ومن خلالها نقلب الدل المركز والبقرتين والرأسين للقطع الناقص اللي عندنا يبقى أول شغلة بقدر أعملها أجمع ال X مع بعض و أجمع ال Y مع بعض وبعدين اللي الله سبحانه وتعالى يحلها", "tokens": [1863, 3615, 23328, 5296, 3794, 33604, 6027, 8315, 9673, 3615, 18513, 37977, 8978, 20328, 1829, 17082, 2655, 11296, 18863, 10943, 3660, 4032, 27842, 16490, 1211, 6027, 11296, 8717, 4587, 46152, 32748, 1211, 9673, 31747, 11622, 16070, 3555, 4587, 43500, 9957, 16070, 2288, 10721, 3794, 9957, 24976, 47432, 3615, 28239, 995, 4587, 9381, 13672, 1829, 43242, 8315, 7251, 3555, 4587, 7578, 5551, 12610, 13412, 17082, 37977, 4724, 28543, 2288, 5551, 25957, 1211, 11296, 5551, 7435, 2304, 3615, 2423, 1783, 20449, 45030, 11242, 4032, 5551, 7435, 2304, 3615, 2423, 398, 20449, 45030, 11242, 46599, 22488, 9957, 13672, 1829, 21984, 8608, 49628, 7649, 3224, 34683, 3615, 6027, 7578, 7251, 5016, 1211, 11296], "avg_logprob": -0.23735795928673312, "compression_ratio": 1.898989898989899, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 854.4399999999999, "end": 855.4, "word": "نعود", "probability": 0.5857747395833334}, {"start": 855.4, "end": 856.16, "word": " لسؤالنا", "probability": 0.72216796875}, {"start": 856.16, "end": 857.8, "word": " المعادلة", "probability": 0.6658935546875}, {"start": 857.8, "end": 858.02, "word": " في", "probability": 0.345947265625}, {"start": 858.02, "end": 858.76, "word": " صيغتها", "probability": 0.8908203125}, {"start": 858.76, "end": 859.48, "word": " العامة", "probability": 0.9856770833333334}, {"start": 859.48, "end": 860.2, "word": " ومن", "probability": 0.6123046875}, {"start": 860.2, "end": 861.12, "word": " خلالها", "probability": 0.98583984375}, {"start": 861.12, "end": 861.98, "word": " نقلب", "probability": 0.5757649739583334}, {"start": 861.98, "end": 862.44, "word": " الدل", "probability": 0.297607421875}, {"start": 862.44, "end": 863.08, "word": " المركز", "probability": 0.8017578125}, {"start": 863.08, "end": 863.94, "word": " والبقرتين", "probability": 0.8212890625}, {"start": 863.94, "end": 864.8, "word": " والرأسين", "probability": 0.92158203125}, {"start": 864.8, "end": 865.66, "word": " للقطع", "probability": 0.9397786458333334}, {"start": 865.66, "end": 866.44, "word": " الناقص", "probability": 0.8590087890625}, {"start": 866.44, "end": 866.72, "word": " اللي", "probability": 0.810302734375}, {"start": 866.72, "end": 867.14, "word": " عندنا", "probability": 0.774658203125}, {"start": 867.14, "end": 867.74, "word": " يبقى", "probability": 0.92822265625}, {"start": 867.74, "end": 868.02, "word": " أول", "probability": 0.81201171875}, {"start": 868.02, "end": 868.4, "word": " شغلة", "probability": 0.87255859375}, {"start": 868.4, "end": 868.78, "word": " بقدر", "probability": 0.8553059895833334}, {"start": 868.78, "end": 869.42, "word": " أعملها", "probability": 0.91015625}, {"start": 869.42, "end": 870.34, "word": " أجمع", "probability": 0.9117431640625}, {"start": 870.34, "end": 870.48, "word": " ال", "probability": 0.92529296875}, {"start": 870.48, "end": 870.68, "word": " X", "probability": 0.390869140625}, {"start": 870.68, "end": 871.0, "word": " مع", "probability": 0.9599609375}, {"start": 871.0, "end": 871.48, "word": " بعض", "probability": 0.994140625}, {"start": 871.48, "end": 871.94, "word": " و", "probability": 0.79833984375}, {"start": 871.94, "end": 872.36, "word": " أجمع", "probability": 0.8634033203125}, {"start": 872.36, "end": 872.54, "word": " ال", "probability": 0.9921875}, {"start": 872.54, "end": 872.72, "word": " Y", "probability": 0.87451171875}, {"start": 872.72, "end": 872.98, "word": " مع", "probability": 0.9560546875}, {"start": 872.98, "end": 873.24, "word": " بعض", "probability": 0.995361328125}, {"start": 873.24, "end": 873.76, "word": " وبعدين", "probability": 0.7533365885416666}, {"start": 873.76, "end": 873.92, "word": " اللي", "probability": 0.781494140625}, {"start": 873.92, "end": 874.08, "word": " الله", "probability": 0.78515625}, {"start": 874.08, "end": 874.72, "word": " سبحانه", "probability": 0.949462890625}, {"start": 874.72, "end": 875.02, "word": " وتعالى", "probability": 0.86676025390625}, {"start": 875.02, "end": 875.64, "word": " يحلها", "probability": 0.9632568359375}], "temperature": 1.0}, {"id": 39, "seek": 89538, "start": 876.06, "end": 895.38, "text": "فمثلا لو جيت جولت هيك اي solution هذه x ثربية وهذه فيها x ممكن اخد تسعة عامل مشترك بظل عندي جداش x ثربية زائد 6x تعين الواي فيهم 16 عامل مشترك", "tokens": [5172, 2304, 12984, 15040, 45164, 10874, 36081, 10874, 12610, 2655, 39896, 4117, 1975, 1829, 3827, 29538, 2031, 38637, 25513, 10632, 37037, 24192, 8978, 11296, 2031, 3714, 43020, 1975, 9778, 3215, 6055, 3794, 27884, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 19913, 1211, 18871, 16254, 10874, 3215, 33599, 2031, 38637, 25513, 10632, 30767, 16373, 3215, 1386, 87, 37279, 9957, 2423, 14407, 1829, 8978, 16095, 3165, 6225, 10943, 1211, 37893, 2655, 31747], "avg_logprob": -0.31492078388240974, "compression_ratio": 1.5126582278481013, "no_speech_prob": 0.0, "words": [{"start": 876.06, "end": 876.74, "word": "فمثلا", "probability": 0.691619873046875}, {"start": 876.74, "end": 877.5, "word": " لو", "probability": 0.60791015625}, {"start": 877.5, "end": 877.94, "word": " جيت", "probability": 0.934814453125}, {"start": 877.94, "end": 878.6, "word": " جولت", "probability": 0.6861979166666666}, {"start": 878.6, "end": 879.2, "word": " هيك", "probability": 0.7152099609375}, {"start": 879.2, "end": 880.32, "word": " اي", "probability": 0.64697265625}, {"start": 880.32, "end": 880.96, "word": " solution", "probability": 0.8681640625}, {"start": 880.96, "end": 881.48, "word": " هذه", "probability": 0.252197265625}, {"start": 881.48, "end": 881.8, "word": " x", "probability": 0.501953125}, {"start": 881.8, "end": 882.22, "word": " ثربية", "probability": 0.61328125}, {"start": 882.22, "end": 882.62, "word": " وهذه", "probability": 0.82861328125}, {"start": 882.62, "end": 882.94, "word": " فيها", "probability": 0.634521484375}, {"start": 882.94, "end": 883.2, "word": " x", "probability": 0.82275390625}, {"start": 883.2, "end": 884.18, "word": " ممكن", "probability": 0.959716796875}, {"start": 884.18, "end": 884.74, "word": " اخد", "probability": 0.88818359375}, {"start": 884.74, "end": 885.46, "word": " تسعة", "probability": 0.8416341145833334}, {"start": 885.46, "end": 886.24, "word": " عامل", "probability": 0.9949544270833334}, {"start": 886.24, "end": 886.96, "word": " مشترك", "probability": 0.9606119791666666}, {"start": 886.96, "end": 887.34, "word": " بظل", "probability": 0.4386393229166667}, {"start": 887.34, "end": 887.64, "word": " عندي", "probability": 0.862060546875}, {"start": 887.64, "end": 888.3, "word": " جداش", "probability": 0.5008951822916666}, {"start": 888.3, "end": 889.02, "word": " x", "probability": 0.54296875}, {"start": 889.02, "end": 889.74, "word": " ثربية", "probability": 0.95849609375}, {"start": 889.74, "end": 890.4, "word": " زائد", "probability": 0.8968098958333334}, {"start": 890.4, "end": 891.62, "word": " 6x", "probability": 0.6873779296875}, {"start": 891.62, "end": 892.68, "word": " تعين", "probability": 0.5625}, {"start": 892.68, "end": 893.14, "word": " الواي", "probability": 0.7548014322916666}, {"start": 893.14, "end": 893.48, "word": " فيهم", "probability": 0.97802734375}, {"start": 893.48, "end": 894.08, "word": " 16", "probability": 0.51953125}, {"start": 894.08, "end": 894.74, "word": " عامل", "probability": 0.99658203125}, {"start": 894.74, "end": 895.38, "word": " مشترك", "probability": 0.97119140625}], "temperature": 1.0}, {"id": 40, "seek": 90696, "start": 896.26, "end": 906.96, "text": "يبقى زائد 16 في Y تربية ناقص 2Y بل تهندس 47 مقدار ثابت حتى وديها على الشجة التانية", "tokens": [1829, 3555, 4587, 7578, 30767, 16373, 3215, 3165, 8978, 398, 6055, 25513, 10632, 8717, 995, 4587, 9381, 568, 56, 4724, 1211, 6055, 3224, 41260, 3794, 16953, 3714, 28543, 9640, 38637, 16758, 2655, 11331, 49975, 4032, 16254, 11296, 15844, 25124, 7435, 3660, 16712, 7649, 10632], "avg_logprob": -0.28576389683617487, "compression_ratio": 1.2280701754385965, "no_speech_prob": 0.0, "words": [{"start": 896.26, "end": 897.0, "word": "يبقى", "probability": 0.808349609375}, {"start": 897.0, "end": 897.52, "word": " زائد", "probability": 0.6207071940104166}, {"start": 897.52, "end": 898.36, "word": " 16", "probability": 0.6328125}, {"start": 898.36, "end": 898.78, "word": " في", "probability": 0.91943359375}, {"start": 898.78, "end": 899.14, "word": " Y", "probability": 0.366455078125}, {"start": 899.14, "end": 899.76, "word": " تربية", "probability": 0.8406575520833334}, {"start": 899.76, "end": 900.56, "word": " ناقص", "probability": 0.885498046875}, {"start": 900.56, "end": 901.6, "word": " 2Y", "probability": 0.9091796875}, {"start": 901.6, "end": 902.28, "word": " بل", "probability": 0.4356689453125}, {"start": 902.28, "end": 902.82, "word": " تهندس", "probability": 0.701904296875}, {"start": 902.82, "end": 903.24, "word": " 47", "probability": 0.97705078125}, {"start": 903.24, "end": 904.28, "word": " مقدار", "probability": 0.92724609375}, {"start": 904.28, "end": 904.88, "word": " ثابت", "probability": 0.9939778645833334}, {"start": 904.88, "end": 905.18, "word": " حتى", "probability": 0.651123046875}, {"start": 905.18, "end": 905.74, "word": " وديها", "probability": 0.7928059895833334}, {"start": 905.74, "end": 905.94, "word": " على", "probability": 0.75537109375}, {"start": 905.94, "end": 906.44, "word": " الشجة", "probability": 0.7618815104166666}, {"start": 906.44, "end": 906.96, "word": " التانية", "probability": 0.9827473958333334}], "temperature": 1.0}, {"id": 41, "seek": 93426, "start": 908.24, "end": 934.26, "text": "طيب شو رايك كل قوس بنقدر نعمله اكمال للمربع يبقى لو عملناه اكمال للمربع بصير تسعة X تربيه زائد ستة X زائد تسعة زائد ستاشر Y تربيه ناقص اتنين Y زائد واحد يسوى سبعة واربعين زائد اضيف هنا تسعة", "tokens": [9566, 1829, 3555, 13412, 2407, 12602, 47302, 4117, 28242, 12174, 41779, 44945, 28543, 2288, 8717, 25957, 43761, 1975, 24793, 6027, 5296, 19528, 25513, 3615, 7251, 3555, 4587, 7578, 45164, 6225, 42213, 8315, 3224, 1975, 24793, 6027, 5296, 19528, 25513, 3615, 4724, 9381, 13546, 6055, 3794, 27884, 1783, 6055, 2288, 21292, 3224, 30767, 16373, 3215, 8608, 2655, 3660, 1783, 30767, 16373, 3215, 6055, 3794, 27884, 30767, 16373, 3215, 8608, 2655, 33599, 2288, 398, 6055, 2288, 21292, 3224, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 398, 30767, 16373, 3215, 36764, 24401, 7251, 3794, 2407, 7578, 8608, 3555, 27884, 4032, 9640, 3555, 3615, 9957, 30767, 16373, 3215, 1975, 11242, 33911, 34105, 6055, 3794, 27884], "avg_logprob": -0.17740597978102424, "compression_ratio": 1.92, "no_speech_prob": 0.0, "words": [{"start": 908.24, "end": 908.62, "word": "طيب", "probability": 0.662841796875}, {"start": 908.62, "end": 908.88, "word": " شو", "probability": 0.848388671875}, {"start": 908.88, "end": 909.28, "word": " رايك", "probability": 0.8645833333333334}, {"start": 909.28, "end": 909.66, "word": " كل", "probability": 0.38525390625}, {"start": 909.66, "end": 910.1, "word": " قوس", "probability": 0.51666259765625}, {"start": 910.1, "end": 910.62, "word": " بنقدر", "probability": 0.8748372395833334}, {"start": 910.62, "end": 911.32, "word": " نعمله", "probability": 0.98291015625}, {"start": 911.32, "end": 913.18, "word": " اكمال", "probability": 0.9039713541666666}, {"start": 913.18, "end": 914.68, "word": " للمربع", "probability": 0.9373779296875}, {"start": 914.68, "end": 915.5, "word": " يبقى", "probability": 0.9014892578125}, {"start": 915.5, "end": 915.68, "word": " لو", "probability": 0.69384765625}, {"start": 915.68, "end": 916.3, "word": " عملناه", "probability": 0.7144775390625}, {"start": 916.3, "end": 916.8, "word": " اكمال", "probability": 0.96875}, {"start": 916.8, "end": 917.62, "word": " للمربع", "probability": 0.9691162109375}, {"start": 917.62, "end": 918.18, "word": " بصير", "probability": 0.8600260416666666}, {"start": 918.18, "end": 918.74, "word": " تسعة", "probability": 0.8209635416666666}, {"start": 918.74, "end": 919.22, "word": " X", "probability": 0.3876953125}, {"start": 919.22, "end": 919.92, "word": " تربيه", "probability": 0.7078857421875}, {"start": 919.92, "end": 920.84, "word": " زائد", "probability": 0.77587890625}, {"start": 920.84, "end": 921.54, "word": " ستة", "probability": 0.9710286458333334}, {"start": 921.54, "end": 921.8, "word": " X", "probability": 0.798828125}, {"start": 921.8, "end": 922.38, "word": " زائد", "probability": 0.9767252604166666}, {"start": 922.38, "end": 923.06, "word": " تسعة", "probability": 0.9855143229166666}, {"start": 923.06, "end": 924.08, "word": " زائد", "probability": 0.8876953125}, {"start": 924.08, "end": 925.04, "word": " ستاشر", "probability": 0.77386474609375}, {"start": 925.04, "end": 925.32, "word": " Y", "probability": 0.9794921875}, {"start": 925.32, "end": 926.06, "word": " تربيه", "probability": 0.941162109375}, {"start": 926.06, "end": 926.64, "word": " ناقص", "probability": 0.896728515625}, {"start": 926.64, "end": 927.22, "word": " اتنين", "probability": 0.9749755859375}, {"start": 927.22, "end": 927.64, "word": " Y", "probability": 0.9169921875}, {"start": 927.64, "end": 928.32, "word": " زائد", "probability": 0.96533203125}, {"start": 928.32, "end": 928.88, "word": " واحد", "probability": 0.975830078125}, {"start": 928.88, "end": 929.88, "word": " يسوى", "probability": 0.810546875}, {"start": 929.88, "end": 930.4, "word": " سبعة", "probability": 0.9348958333333334}, {"start": 930.4, "end": 931.46, "word": " واربعين", "probability": 0.86826171875}, {"start": 931.46, "end": 932.52, "word": " زائد", "probability": 0.98388671875}, {"start": 932.52, "end": 933.42, "word": " اضيف", "probability": 0.8733723958333334}, {"start": 933.42, "end": 933.7, "word": " هنا", "probability": 0.921875}, {"start": 933.7, "end": 934.26, "word": " تسعة", "probability": 0.9881184895833334}], "temperature": 1.0}, {"id": 42, "seek": 96611, "start": 938.83, "end": 966.11, "text": "تسعة تسعة مضروبة في تسعة دي البالة يبقى كأنه اضافت واحد و تمانين يبقى باجي بقوله زائد واحد و تمانين زائد ستاشر في واحد اللي هو ستاشر يبقى زائد ستاشر يبقى أصبحت المسألة على الشكل التالي هي تسعة X زائد تلاتة لكل تربية", "tokens": [2655, 3794, 27884, 6055, 3794, 27884, 3714, 11242, 32887, 49401, 8978, 6055, 3794, 27884, 11778, 1829, 29739, 6027, 3660, 7251, 3555, 4587, 7578, 9122, 33456, 3224, 1975, 11242, 31845, 2655, 36764, 24401, 4032, 46811, 7649, 9957, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 30767, 16373, 3215, 36764, 24401, 4032, 46811, 7649, 9957, 30767, 16373, 3215, 8608, 2655, 33599, 2288, 8978, 36764, 24401, 13672, 1829, 31439, 8608, 2655, 33599, 2288, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 8608, 2655, 33599, 2288, 7251, 3555, 4587, 7578, 5551, 9381, 3555, 33753, 9673, 3794, 10721, 37977, 15844, 25124, 28820, 16712, 6027, 1829, 39896, 6055, 3794, 27884, 1783, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632], "avg_logprob": -0.1418067186820407, "compression_ratio": 2.1263736263736264, "no_speech_prob": 0.0, "words": [{"start": 938.83, "end": 940.11, "word": "تسعة", "probability": 0.84765625}, {"start": 940.11, "end": 941.39, "word": " تسعة", "probability": 0.7211507161458334}, {"start": 941.39, "end": 941.97, "word": " مضروبة", "probability": 0.94140625}, {"start": 941.97, "end": 942.17, "word": " في", "probability": 0.92626953125}, {"start": 942.17, "end": 942.97, "word": " تسعة", "probability": 0.9837239583333334}, {"start": 942.97, "end": 943.37, "word": " دي", "probability": 0.3587646484375}, {"start": 943.37, "end": 944.11, "word": " البالة", "probability": 0.6817220052083334}, {"start": 944.11, "end": 944.77, "word": " يبقى", "probability": 0.9208984375}, {"start": 944.77, "end": 945.25, "word": " كأنه", "probability": 0.7581380208333334}, {"start": 945.25, "end": 945.61, "word": " اضافت", "probability": 0.75390625}, {"start": 945.61, "end": 945.97, "word": " واحد", "probability": 0.95947265625}, {"start": 945.97, "end": 946.13, "word": " و", "probability": 0.88037109375}, {"start": 946.13, "end": 946.97, "word": " تمانين", "probability": 0.9441731770833334}, {"start": 946.97, "end": 947.75, "word": " يبقى", "probability": 0.9652099609375}, {"start": 947.75, "end": 948.19, "word": " باجي", "probability": 0.9210611979166666}, {"start": 948.19, "end": 948.77, "word": " بقوله", "probability": 0.8028971354166666}, {"start": 948.77, "end": 949.61, "word": " زائد", "probability": 0.8810221354166666}, {"start": 949.61, "end": 950.25, "word": " واحد", "probability": 0.95068359375}, {"start": 950.25, "end": 950.47, "word": " و", "probability": 0.9306640625}, {"start": 950.47, "end": 951.25, "word": " تمانين", "probability": 0.9772135416666666}, {"start": 951.25, "end": 952.05, "word": " زائد", "probability": 0.8359375}, {"start": 952.05, "end": 953.33, "word": " ستاشر", "probability": 0.8468017578125}, {"start": 953.33, "end": 953.49, "word": " في", "probability": 0.94580078125}, {"start": 953.49, "end": 954.03, "word": " واحد", "probability": 0.994873046875}, {"start": 954.03, "end": 954.21, "word": " اللي", "probability": 0.954833984375}, {"start": 954.21, "end": 954.29, "word": " هو", "probability": 0.99365234375}, {"start": 954.29, "end": 955.49, "word": " ستاشر", "probability": 0.785736083984375}, {"start": 955.49, "end": 955.97, "word": " يبقى", "probability": 0.9749755859375}, {"start": 955.97, "end": 956.81, "word": " زائد", "probability": 0.97998046875}, {"start": 956.81, "end": 957.59, "word": " ستاشر", "probability": 0.9864501953125}, {"start": 957.59, "end": 958.29, "word": " يبقى", "probability": 0.9859619140625}, {"start": 958.29, "end": 958.97, "word": " أصبحت", "probability": 0.913330078125}, {"start": 958.97, "end": 959.71, "word": " المسألة", "probability": 0.98046875}, {"start": 959.71, "end": 959.95, "word": " على", "probability": 0.92236328125}, {"start": 959.95, "end": 960.51, "word": " الشكل", "probability": 0.961669921875}, {"start": 960.51, "end": 961.29, "word": " التالي", "probability": 0.98974609375}, {"start": 961.29, "end": 961.93, "word": " هي", "probability": 0.7060546875}, {"start": 961.93, "end": 962.63, "word": " تسعة", "probability": 0.9913736979166666}, {"start": 962.63, "end": 963.43, "word": " X", "probability": 0.425048828125}, {"start": 963.43, "end": 964.07, "word": " زائد", "probability": 0.9637044270833334}, {"start": 964.07, "end": 964.73, "word": " تلاتة", "probability": 0.9422607421875}, {"start": 964.73, "end": 965.29, "word": " لكل", "probability": 0.984130859375}, {"start": 965.29, "end": 966.11, "word": " تربية", "probability": 0.85498046875}], "temperature": 1.0}, {"id": 43, "seek": 97643, "start": 966.77, "end": 976.43, "text": "زائد ست عشر و اناقص واحد لكل تربيع اجمع هدولك بتلاقيهم 144", "tokens": [11622, 16373, 3215, 8608, 2655, 6225, 46309, 4032, 1975, 8315, 4587, 9381, 36764, 24401, 5296, 28820, 6055, 2288, 21292, 3615, 1975, 7435, 2304, 3615, 8032, 3215, 12610, 4117, 39894, 15040, 38436, 16095, 45218], "avg_logprob": -0.36006433472913857, "compression_ratio": 1.1590909090909092, "no_speech_prob": 0.0, "words": [{"start": 966.77, "end": 967.69, "word": "زائد", "probability": 0.557861328125}, {"start": 967.69, "end": 968.49, "word": " ست", "probability": 0.783935546875}, {"start": 968.49, "end": 969.19, "word": " عشر", "probability": 0.828857421875}, {"start": 969.19, "end": 969.75, "word": " و", "probability": 0.607421875}, {"start": 969.75, "end": 970.59, "word": " اناقص", "probability": 0.72601318359375}, {"start": 970.59, "end": 971.09, "word": " واحد", "probability": 0.99267578125}, {"start": 971.09, "end": 971.55, "word": " لكل", "probability": 0.909912109375}, {"start": 971.55, "end": 972.23, "word": " تربيع", "probability": 0.74188232421875}, {"start": 972.23, "end": 973.09, "word": " اجمع", "probability": 0.9051513671875}, {"start": 973.09, "end": 973.79, "word": " هدولك", "probability": 0.58856201171875}, {"start": 973.79, "end": 974.41, "word": " بتلاقيهم", "probability": 0.78472900390625}, {"start": 974.41, "end": 976.43, "word": " 144", "probability": 0.275390625}], "temperature": 1.0}, {"id": 44, "seek": 100733, "start": 978.19, "end": 1007.33, "text": "بنحط المعادلة في ال standard form يبقى بروح بجسم كله على مين؟ على 144 بصير x زائد 3 الكولتر بي على 16 و y ناقص واحد الكولتر بي على 9 يسوى كده؟ واحد يبقى المعادلة الأصلية بعد اللفلفة اللي عملناها صارت على الشكل اللي عندنا هذا يبقى هذا عبارة عن ellipse", "tokens": [3555, 1863, 5016, 9566, 9673, 3615, 18513, 37977, 8978, 2423, 3832, 1254, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 7435, 38251, 28242, 3224, 15844, 3714, 9957, 22807, 15844, 45218, 4724, 9381, 13546, 2031, 30767, 16373, 3215, 805, 33251, 12610, 2655, 2288, 4724, 1829, 15844, 3165, 4032, 288, 8717, 995, 4587, 9381, 36764, 24401, 33251, 12610, 2655, 2288, 4724, 1829, 15844, 1722, 7251, 3794, 2407, 7578, 9122, 3215, 3224, 22807, 36764, 24401, 7251, 3555, 4587, 7578, 9673, 3615, 18513, 37977, 16247, 9381, 1211, 10632, 39182, 13672, 5172, 46538, 3660, 13672, 1829, 6225, 42213, 8315, 11296, 20328, 9640, 2655, 15844, 25124, 28820, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 23758, 6225, 3555, 9640, 3660, 18871, 8284, 48041], "avg_logprob": -0.22058824055335102, "compression_ratio": 1.743801652892562, "no_speech_prob": 0.0, "words": [{"start": 978.19, "end": 979.05, "word": "بنحط", "probability": 0.500640869140625}, {"start": 979.05, "end": 979.71, "word": " المعادلة", "probability": 0.9453125}, {"start": 979.71, "end": 979.87, "word": " في", "probability": 0.68896484375}, {"start": 979.87, "end": 979.95, "word": " ال", "probability": 0.6884765625}, {"start": 979.95, "end": 980.51, "word": " standard", "probability": 0.26708984375}, {"start": 980.51, "end": 981.43, "word": " form", "probability": 0.9501953125}, {"start": 981.43, "end": 982.03, "word": " يبقى", "probability": 0.8231201171875}, {"start": 982.03, "end": 982.33, "word": " بروح", "probability": 0.8972981770833334}, {"start": 982.33, "end": 982.85, "word": " بجسم", "probability": 0.8919270833333334}, {"start": 982.85, "end": 983.27, "word": " كله", "probability": 0.9580078125}, {"start": 983.27, "end": 983.43, "word": " على", "probability": 0.83056640625}, {"start": 983.43, "end": 984.15, "word": " مين؟", "probability": 0.72314453125}, {"start": 984.15, "end": 984.49, "word": " على", "probability": 0.82763671875}, {"start": 984.49, "end": 985.17, "word": " 144", "probability": 0.65625}, {"start": 985.17, "end": 986.87, "word": " بصير", "probability": 0.7815755208333334}, {"start": 986.87, "end": 987.33, "word": " x", "probability": 0.459228515625}, {"start": 987.33, "end": 987.87, "word": " زائد", "probability": 0.8056640625}, {"start": 987.87, "end": 988.29, "word": " 3", "probability": 0.65966796875}, {"start": 988.29, "end": 989.05, "word": " الكولتر", "probability": 0.66680908203125}, {"start": 989.05, "end": 989.27, "word": " بي", "probability": 0.87255859375}, {"start": 989.27, "end": 989.57, "word": " على", "probability": 0.708984375}, {"start": 989.57, "end": 990.43, "word": " 16", "probability": 0.724609375}, {"start": 990.43, "end": 991.15, "word": " و", "probability": 0.501953125}, {"start": 991.15, "end": 991.41, "word": " y", "probability": 0.5283203125}, {"start": 991.41, "end": 991.87, "word": " ناقص", "probability": 0.956787109375}, {"start": 991.87, "end": 992.29, "word": " واحد", "probability": 0.7626953125}, {"start": 992.29, "end": 993.01, "word": " الكولتر", "probability": 0.96435546875}, {"start": 993.01, "end": 993.29, "word": " بي", "probability": 0.98046875}, {"start": 993.29, "end": 993.79, "word": " على", "probability": 0.88525390625}, {"start": 993.79, "end": 994.47, "word": " 9", "probability": 0.8154296875}, {"start": 994.47, "end": 995.49, "word": " يسوى", "probability": 0.7872314453125}, {"start": 995.49, "end": 996.35, "word": " كده؟", "probability": 0.71868896484375}, {"start": 996.35, "end": 997.23, "word": " واحد", "probability": 0.8486328125}, {"start": 997.23, "end": 997.93, "word": " يبقى", "probability": 0.9447021484375}, {"start": 997.93, "end": 998.71, "word": " المعادلة", "probability": 0.990966796875}, {"start": 998.71, "end": 999.47, "word": " الأصلية", "probability": 0.7677001953125}, {"start": 999.47, "end": 999.83, "word": " بعد", "probability": 0.91845703125}, {"start": 999.83, "end": 1000.51, "word": " اللفلفة", "probability": 0.72760009765625}, {"start": 1000.51, "end": 1000.65, "word": " اللي", "probability": 0.896728515625}, {"start": 1000.65, "end": 1001.27, "word": " عملناها", "probability": 0.950927734375}, {"start": 1001.27, "end": 1001.95, "word": " صارت", "probability": 0.9488932291666666}, {"start": 1001.95, "end": 1002.21, "word": " على", "probability": 0.92138671875}, {"start": 1002.21, "end": 1002.75, "word": " الشكل", "probability": 0.977783203125}, {"start": 1002.75, "end": 1002.97, "word": " اللي", "probability": 0.9765625}, {"start": 1002.97, "end": 1003.33, "word": " عندنا", "probability": 0.6439208984375}, {"start": 1003.33, "end": 1003.63, "word": " هذا", "probability": 0.591796875}, {"start": 1003.63, "end": 1004.65, "word": " يبقى", "probability": 0.9764404296875}, {"start": 1004.65, "end": 1005.09, "word": " هذا", "probability": 0.77294921875}, {"start": 1005.09, "end": 1005.79, "word": " عبارة", "probability": 0.9952392578125}, {"start": 1005.79, "end": 1006.33, "word": " عن", "probability": 0.99462890625}, {"start": 1006.33, "end": 1007.33, "word": " ellipse", "probability": 0.896484375}], "temperature": 1.0}, {"id": 45, "seek": 103048, "start": 1007.76, "end": 1030.48, "text": "with center H وK بده ساوي سالب تلاتة وواحد يبقى حددنا ال center اللي هو المطلوب الأول اللي طلبه مش ان اجيب الفكاية بال DC باجي بقوله اه الرقم الكبير", "tokens": [11820, 3056, 389, 4032, 42, 47525, 3224, 8608, 995, 45865, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4032, 14407, 24401, 7251, 3555, 4587, 7578, 11331, 3215, 3215, 8315, 2423, 3056, 13672, 1829, 31439, 9673, 9566, 1211, 37746, 16247, 12610, 13672, 1829, 23032, 46152, 3224, 37893, 16472, 1975, 7435, 1829, 3555, 27188, 4117, 995, 10632, 20666, 9114, 4724, 26108, 1829, 4724, 39648, 3224, 1975, 3224, 34892, 4587, 2304, 33251, 3555, 13546], "avg_logprob": -0.2867517714769068, "compression_ratio": 1.5246913580246915, "no_speech_prob": 0.0, "words": [{"start": 1007.76, "end": 1008.74, "word": "with", "probability": 0.25244140625}, {"start": 1008.74, "end": 1010.68, "word": " center", "probability": 0.4892578125}, {"start": 1010.68, "end": 1012.82, "word": " H", "probability": 0.1651611328125}, {"start": 1012.82, "end": 1014.3, "word": " وK", "probability": 0.673095703125}, {"start": 1014.3, "end": 1015.04, "word": " بده", "probability": 0.4561767578125}, {"start": 1015.04, "end": 1015.6, "word": " ساوي", "probability": 0.7576497395833334}, {"start": 1015.6, "end": 1016.8, "word": " سالب", "probability": 0.71728515625}, {"start": 1016.8, "end": 1018.08, "word": " تلاتة", "probability": 0.9207763671875}, {"start": 1018.08, "end": 1018.9, "word": " وواحد", "probability": 0.726806640625}, {"start": 1018.9, "end": 1019.56, "word": " يبقى", "probability": 0.88232421875}, {"start": 1019.56, "end": 1020.18, "word": " حددنا", "probability": 0.94189453125}, {"start": 1020.18, "end": 1020.34, "word": " ال", "probability": 0.95703125}, {"start": 1020.34, "end": 1020.76, "word": " center", "probability": 0.72265625}, {"start": 1020.76, "end": 1021.42, "word": " اللي", "probability": 0.932373046875}, {"start": 1021.42, "end": 1021.5, "word": " هو", "probability": 0.93115234375}, {"start": 1021.5, "end": 1022.04, "word": " المطلوب", "probability": 0.8653564453125}, {"start": 1022.04, "end": 1022.86, "word": " الأول", "probability": 0.8857421875}, {"start": 1022.86, "end": 1023.48, "word": " اللي", "probability": 0.979248046875}, {"start": 1023.48, "end": 1024.22, "word": " طلبه", "probability": 0.9269205729166666}, {"start": 1024.22, "end": 1025.1, "word": " مش", "probability": 0.77734375}, {"start": 1025.1, "end": 1025.3, "word": " ان", "probability": 0.1923828125}, {"start": 1025.3, "end": 1025.62, "word": " اجيب", "probability": 0.915283203125}, {"start": 1025.62, "end": 1026.3, "word": " الفكاية", "probability": 0.8056640625}, {"start": 1026.3, "end": 1026.56, "word": " بال", "probability": 0.26318359375}, {"start": 1026.56, "end": 1027.1, "word": " DC", "probability": 0.9013671875}, {"start": 1027.1, "end": 1028.1, "word": " باجي", "probability": 0.6728515625}, {"start": 1028.1, "end": 1028.72, "word": " بقوله", "probability": 0.8351236979166666}, {"start": 1028.72, "end": 1029.16, "word": " اه", "probability": 0.635498046875}, {"start": 1029.16, "end": 1029.68, "word": " الرقم", "probability": 0.9736328125}, {"start": 1029.68, "end": 1030.48, "word": " الكبير", "probability": 0.9793294270833334}], "temperature": 1.0}, {"id": 46, "seek": 105204, "start": 1030.76, "end": 1052.04, "text": "تحت اللي هو ال X يبقى ال A يساوي أربعة وال B يساوي تلاتة بقدر أجيب له C هذه B يساوي الجذر التربية اللي A تربية ب 16 ماقص C تربية ومنها C تربية تساوي ربع", "tokens": [2655, 33753, 13672, 1829, 31439, 2423, 1783, 7251, 3555, 4587, 7578, 2423, 316, 7251, 3794, 995, 45865, 5551, 25513, 27884, 16070, 363, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 4724, 28543, 2288, 5551, 7435, 1829, 3555, 46740, 383, 29538, 363, 7251, 3794, 995, 45865, 25724, 8848, 2288, 16712, 25513, 10632, 13672, 1829, 316, 6055, 25513, 10632, 4724, 3165, 19446, 4587, 9381, 383, 6055, 25513, 10632, 4032, 27842, 11296, 383, 6055, 25513, 10632, 6055, 3794, 995, 45865, 12602, 3555, 3615], "avg_logprob": -0.1900077160493827, "compression_ratio": 1.7862068965517242, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1030.76, "end": 1031.38, "word": "تحت", "probability": 0.569580078125}, {"start": 1031.38, "end": 1031.8, "word": " اللي", "probability": 0.690185546875}, {"start": 1031.8, "end": 1031.96, "word": " هو", "probability": 0.9306640625}, {"start": 1031.96, "end": 1032.16, "word": " ال", "probability": 0.76318359375}, {"start": 1032.16, "end": 1032.4, "word": " X", "probability": 0.482666015625}, {"start": 1032.4, "end": 1033.34, "word": " يبقى", "probability": 0.950439453125}, {"start": 1033.34, "end": 1033.5, "word": " ال", "probability": 0.908203125}, {"start": 1033.5, "end": 1033.78, "word": " A", "probability": 0.93798828125}, {"start": 1033.78, "end": 1034.54, "word": " يساوي", "probability": 0.6441650390625}, {"start": 1034.54, "end": 1035.26, "word": " أربعة", "probability": 0.8136393229166666}, {"start": 1035.26, "end": 1036.04, "word": " وال", "probability": 0.78759765625}, {"start": 1036.04, "end": 1036.5, "word": " B", "probability": 0.85546875}, {"start": 1036.5, "end": 1037.32, "word": " يساوي", "probability": 0.9844970703125}, {"start": 1037.32, "end": 1038.26, "word": " تلاتة", "probability": 0.9632568359375}, {"start": 1038.26, "end": 1039.18, "word": " بقدر", "probability": 0.9329427083333334}, {"start": 1039.18, "end": 1039.62, "word": " أجيب", "probability": 0.8892822265625}, {"start": 1039.62, "end": 1039.88, "word": " له", "probability": 0.634765625}, {"start": 1039.88, "end": 1040.32, "word": " C", "probability": 0.75341796875}, {"start": 1040.32, "end": 1041.34, "word": " هذه", "probability": 0.363037109375}, {"start": 1041.34, "end": 1041.86, "word": " B", "probability": 0.720703125}, {"start": 1041.86, "end": 1042.76, "word": " يساوي", "probability": 0.9600830078125}, {"start": 1042.76, "end": 1043.28, "word": " الجذر", "probability": 0.9342447916666666}, {"start": 1043.28, "end": 1043.82, "word": " التربية", "probability": 0.795654296875}, {"start": 1043.82, "end": 1044.0, "word": " اللي", "probability": 0.8173828125}, {"start": 1044.0, "end": 1044.24, "word": " A", "probability": 0.47021484375}, {"start": 1044.24, "end": 1044.8, "word": " تربية", "probability": 0.91162109375}, {"start": 1044.8, "end": 1045.0, "word": " ب", "probability": 0.78857421875}, {"start": 1045.0, "end": 1045.68, "word": " 16", "probability": 0.3818359375}, {"start": 1045.68, "end": 1047.4, "word": " ماقص", "probability": 0.7255859375}, {"start": 1047.4, "end": 1047.88, "word": " C", "probability": 0.96923828125}, {"start": 1047.88, "end": 1048.88, "word": " تربية", "probability": 0.9661458333333334}, {"start": 1048.88, "end": 1049.98, "word": " ومنها", "probability": 0.8966471354166666}, {"start": 1049.98, "end": 1050.3, "word": " C", "probability": 0.98046875}, {"start": 1050.3, "end": 1050.9, "word": " تربية", "probability": 0.9744466145833334}, {"start": 1050.9, "end": 1051.44, "word": " تساوي", "probability": 0.9161376953125}, {"start": 1051.44, "end": 1052.04, "word": " ربع", "probability": 0.8777669270833334}], "temperature": 1.0}, {"id": 47, "seek": 107097, "start": 1053.05, "end": 1070.97, "text": "الـ B عندي هنا بتلاتة تسوية يعني يبقى بسيط عندي هنا مابداش C تربية بسوية 16 ناقص 9 اللي هو بقداش 7 يبقى C بتسوية جدر من جدر السبعة", "tokens": [6027, 39184, 363, 18871, 16254, 34105, 39894, 1211, 9307, 3660, 6055, 3794, 2407, 10632, 37495, 22653, 7251, 3555, 4587, 7578, 4724, 3794, 1829, 9566, 18871, 16254, 34105, 3714, 16758, 3215, 33599, 383, 6055, 25513, 10632, 4724, 3794, 2407, 10632, 3165, 8717, 995, 4587, 9381, 1722, 13672, 1829, 31439, 4724, 28543, 33599, 1614, 7251, 3555, 4587, 7578, 383, 39894, 3794, 2407, 10632, 10874, 3215, 2288, 9154, 10874, 3215, 2288, 21136, 3555, 27884], "avg_logprob": -0.3101128459804588, "compression_ratio": 1.6304347826086956, "no_speech_prob": 0.0, "words": [{"start": 1053.05, "end": 1053.39, "word": "الـ", "probability": 0.677490234375}, {"start": 1053.39, "end": 1053.51, "word": " B", "probability": 0.349853515625}, {"start": 1053.51, "end": 1053.81, "word": " عندي", "probability": 0.6630859375}, {"start": 1053.81, "end": 1054.01, "word": " هنا", "probability": 0.828125}, {"start": 1054.01, "end": 1054.77, "word": " بتلاتة", "probability": 0.8245849609375}, {"start": 1054.77, "end": 1056.45, "word": " تسوية", "probability": 0.6788330078125}, {"start": 1056.45, "end": 1056.71, "word": " يعني", "probability": 0.6617431640625}, {"start": 1056.71, "end": 1057.45, "word": " يبقى", "probability": 0.9027099609375}, {"start": 1057.45, "end": 1057.85, "word": " بسيط", "probability": 0.792510986328125}, {"start": 1057.85, "end": 1058.15, "word": " عندي", "probability": 0.7430419921875}, {"start": 1058.15, "end": 1058.35, "word": " هنا", "probability": 0.473388671875}, {"start": 1058.35, "end": 1058.99, "word": " مابداش", "probability": 0.55657958984375}, {"start": 1058.99, "end": 1059.41, "word": " C", "probability": 0.6728515625}, {"start": 1059.41, "end": 1060.17, "word": " تربية", "probability": 0.9021809895833334}, {"start": 1060.17, "end": 1060.83, "word": " بسوية", "probability": 0.69622802734375}, {"start": 1060.83, "end": 1061.45, "word": " 16", "probability": 0.301025390625}, {"start": 1061.45, "end": 1062.63, "word": " ناقص", "probability": 0.79327392578125}, {"start": 1062.63, "end": 1063.23, "word": " 9", "probability": 0.9228515625}, {"start": 1063.23, "end": 1063.85, "word": " اللي", "probability": 0.87744140625}, {"start": 1063.85, "end": 1063.99, "word": " هو", "probability": 0.9873046875}, {"start": 1063.99, "end": 1064.73, "word": " بقداش", "probability": 0.8123372395833334}, {"start": 1064.73, "end": 1065.65, "word": " 7", "probability": 0.7431640625}, {"start": 1065.65, "end": 1066.97, "word": " يبقى", "probability": 0.9832763671875}, {"start": 1066.97, "end": 1067.25, "word": " C", "probability": 0.943359375}, {"start": 1067.25, "end": 1068.31, "word": " بتسوية", "probability": 0.735595703125}, {"start": 1068.31, "end": 1068.77, "word": " جدر", "probability": 0.8439127604166666}, {"start": 1068.77, "end": 1069.15, "word": " من", "probability": 0.422607421875}, {"start": 1069.15, "end": 1070.29, "word": " جدر", "probability": 0.9591471354166666}, {"start": 1070.29, "end": 1070.97, "word": " السبعة", "probability": 0.8816731770833334}], "temperature": 1.0}, {"id": 48, "seek": 109350, "start": 1081.38, "end": 1093.5, "text": "الرقم الكبير تحت ال X يبقى فوق ال X خط موازي لمحور X لأنه عملنا له shift يبقى لو رحت وقلت ايه المحاور", "tokens": [6027, 2288, 4587, 2304, 33251, 3555, 13546, 6055, 33753, 2423, 1783, 7251, 3555, 4587, 7578, 6156, 30543, 2423, 1783, 16490, 9566, 3714, 2407, 31377, 1829, 32767, 5016, 13063, 1783, 5296, 33456, 3224, 6225, 42213, 8315, 46740, 5513, 7251, 3555, 4587, 7578, 45164, 12602, 33753, 4032, 4587, 1211, 2655, 1975, 1829, 3224, 9673, 5016, 995, 13063], "avg_logprob": -0.31222099172217505, "compression_ratio": 1.3870967741935485, "no_speech_prob": 0.0, "words": [{"start": 1081.3799999999999, "end": 1082.34, "word": "الرقم", "probability": 0.5527801513671875}, {"start": 1082.34, "end": 1082.82, "word": " الكبير", "probability": 0.9111328125}, {"start": 1082.82, "end": 1083.24, "word": " تحت", "probability": 0.910400390625}, {"start": 1083.24, "end": 1083.42, "word": " ال", "probability": 0.59619140625}, {"start": 1083.42, "end": 1083.7, "word": " X", "probability": 0.65283203125}, {"start": 1083.7, "end": 1084.66, "word": " يبقى", "probability": 0.9376220703125}, {"start": 1084.66, "end": 1085.2, "word": " فوق", "probability": 0.793212890625}, {"start": 1085.2, "end": 1085.38, "word": " ال", "probability": 0.69677734375}, {"start": 1085.38, "end": 1085.64, "word": " X", "probability": 0.448486328125}, {"start": 1085.64, "end": 1086.38, "word": " خط", "probability": 0.9736328125}, {"start": 1086.38, "end": 1087.46, "word": " موازي", "probability": 0.895263671875}, {"start": 1087.46, "end": 1088.12, "word": " لمحور", "probability": 0.9347330729166666}, {"start": 1088.12, "end": 1088.52, "word": " X", "probability": 0.97607421875}, {"start": 1088.52, "end": 1089.14, "word": " لأنه", "probability": 0.553955078125}, {"start": 1089.14, "end": 1089.56, "word": " عملنا", "probability": 0.8258463541666666}, {"start": 1089.56, "end": 1089.74, "word": " له", "probability": 0.7568359375}, {"start": 1089.74, "end": 1090.22, "word": " shift", "probability": 0.75244140625}, {"start": 1090.22, "end": 1091.12, "word": " يبقى", "probability": 0.8702392578125}, {"start": 1091.12, "end": 1091.34, "word": " لو", "probability": 0.87255859375}, {"start": 1091.34, "end": 1091.76, "word": " رحت", "probability": 0.595947265625}, {"start": 1091.76, "end": 1092.52, "word": " وقلت", "probability": 0.72247314453125}, {"start": 1092.52, "end": 1092.76, "word": " ايه", "probability": 0.7220865885416666}, {"start": 1092.76, "end": 1093.5, "word": " المحاور", "probability": 0.9815673828125}], "temperature": 1.0}, {"id": 49, "seek": 112296, "start": 1094.0, "end": 1122.96, "text": "وهذا محور X وهذا محور Y ال center عندي اللي هو سالب تلاتة واحد يبقى بدي أمشي هنا هاي سالب تلاتة و بدي أطلع واحد سالب تلاتة واحد هذا من هذا ال center إذا المحور الجديد ده بدي تصبح بالشكل اللي عندنا هذا هيك وهذا بدي يجيني بالشكل اللي هذا هيك تمام؟", "tokens": [2407, 3224, 15730, 3714, 5016, 13063, 1783, 37037, 15730, 3714, 5016, 13063, 398, 2423, 3056, 18871, 16254, 13672, 1829, 31439, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 2304, 8592, 1829, 34105, 8032, 47302, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4032, 4724, 16254, 5551, 9566, 1211, 3615, 36764, 24401, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 36764, 24401, 23758, 9154, 23758, 2423, 3056, 11933, 15730, 9673, 5016, 13063, 25724, 16254, 3215, 11778, 3224, 4724, 16254, 6055, 9381, 49628, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 39896, 4117, 37037, 15730, 4724, 16254, 7251, 7435, 9957, 1829, 20666, 8592, 28820, 13672, 1829, 23758, 39896, 4117, 46811, 10943, 22807], "avg_logprob": -0.22235576362691373, "compression_ratio": 2.236842105263158, "no_speech_prob": 0.0, "words": [{"start": 1094.0, "end": 1094.56, "word": "وهذا", "probability": 0.6280924479166666}, {"start": 1094.56, "end": 1095.16, "word": " محور", "probability": 0.96337890625}, {"start": 1095.16, "end": 1095.64, "word": " X", "probability": 0.8271484375}, {"start": 1095.64, "end": 1096.62, "word": " وهذا", "probability": 0.804931640625}, {"start": 1096.62, "end": 1097.44, "word": " محور", "probability": 0.9609375}, {"start": 1097.44, "end": 1097.88, "word": " Y", "probability": 0.99560546875}, {"start": 1097.88, "end": 1098.66, "word": " ال", "probability": 0.64892578125}, {"start": 1098.66, "end": 1099.04, "word": " center", "probability": 0.2142333984375}, {"start": 1099.04, "end": 1099.68, "word": " عندي", "probability": 0.720703125}, {"start": 1099.68, "end": 1099.88, "word": " اللي", "probability": 0.792724609375}, {"start": 1099.88, "end": 1100.16, "word": " هو", "probability": 0.97998046875}, {"start": 1100.16, "end": 1100.8, "word": " سالب", "probability": 0.7162272135416666}, {"start": 1100.8, "end": 1101.48, "word": " تلاتة", "probability": 0.818603515625}, {"start": 1101.48, "end": 1102.06, "word": " واحد", "probability": 0.848388671875}, {"start": 1102.06, "end": 1102.8, "word": " يبقى", "probability": 0.9002685546875}, {"start": 1102.8, "end": 1103.14, "word": " بدي", "probability": 0.6883544921875}, {"start": 1103.14, "end": 1103.74, "word": " أمشي", "probability": 0.903076171875}, {"start": 1103.74, "end": 1104.2, "word": " هنا", "probability": 0.9912109375}, {"start": 1104.2, "end": 1104.76, "word": " هاي", "probability": 0.609375}, {"start": 1104.76, "end": 1105.26, "word": " سالب", "probability": 0.9744466145833334}, {"start": 1105.26, "end": 1106.04, "word": " تلاتة", "probability": 0.96826171875}, {"start": 1106.04, "end": 1106.42, "word": " و", "probability": 0.8779296875}, {"start": 1106.42, "end": 1106.68, "word": " بدي", "probability": 0.75439453125}, {"start": 1106.68, "end": 1107.16, "word": " أطلع", "probability": 0.95947265625}, {"start": 1107.16, "end": 1107.6, "word": " واحد", "probability": 0.98974609375}, {"start": 1107.6, "end": 1108.46, "word": " سالب", "probability": 0.9650065104166666}, {"start": 1108.46, "end": 1109.02, "word": " تلاتة", "probability": 0.9759521484375}, {"start": 1109.02, "end": 1109.48, "word": " واحد", "probability": 0.954345703125}, {"start": 1109.48, "end": 1109.78, "word": " هذا", "probability": 0.58740234375}, {"start": 1109.78, "end": 1110.02, "word": " من", "probability": 0.64794921875}, {"start": 1110.02, "end": 1111.08, "word": " هذا", "probability": 0.240966796875}, {"start": 1111.08, "end": 1111.42, "word": " ال", "probability": 0.9130859375}, {"start": 1111.42, "end": 1111.96, "word": " center", "probability": 0.87255859375}, {"start": 1111.96, "end": 1112.58, "word": " إذا", "probability": 0.5609130859375}, {"start": 1112.58, "end": 1113.5, "word": " المحور", "probability": 0.8492838541666666}, {"start": 1113.5, "end": 1114.6, "word": " الجديد", "probability": 0.9733072916666666}, {"start": 1114.6, "end": 1115.16, "word": " ده", "probability": 0.770751953125}, {"start": 1115.16, "end": 1115.38, "word": " بدي", "probability": 0.7216796875}, {"start": 1115.38, "end": 1115.92, "word": " تصبح", "probability": 0.8055826822916666}, {"start": 1115.92, "end": 1116.58, "word": " بالشكل", "probability": 0.9659830729166666}, {"start": 1116.58, "end": 1116.8, "word": " اللي", "probability": 0.981201171875}, {"start": 1116.8, "end": 1117.2, "word": " عندنا", "probability": 0.977783203125}, {"start": 1117.2, "end": 1117.54, "word": " هذا", "probability": 0.666015625}, {"start": 1117.54, "end": 1118.78, "word": " هيك", "probability": 0.661376953125}, {"start": 1118.78, "end": 1119.58, "word": " وهذا", "probability": 0.674072265625}, {"start": 1119.58, "end": 1119.96, "word": " بدي", "probability": 0.84619140625}, {"start": 1119.96, "end": 1120.44, "word": " يجيني", "probability": 0.8433837890625}, {"start": 1120.44, "end": 1120.98, "word": " بالشكل", "probability": 0.9847005208333334}, {"start": 1120.98, "end": 1121.14, "word": " اللي", "probability": 0.900390625}, {"start": 1121.14, "end": 1121.36, "word": " هذا", "probability": 0.3115234375}, {"start": 1121.36, "end": 1122.1, "word": " هيك", "probability": 0.90966796875}, {"start": 1122.1, "end": 1122.96, "word": " تمام؟", "probability": 0.8460286458333334}], "temperature": 1.0}, {"id": 50, "seek": 115266, "start": 1125.12, "end": 1152.66, "text": "يبقى ايه المحاول الجديدة؟ الان بالنسبة له ال ellipse اللى عندنا ال a عندى بقداش؟ باربع طب هدى قداش؟ تلاتة يبقى اتحرك كمان واحد على اليمين هدى اتحرك لمقدار واحد وهدى بدأ تجيلك بجيت الرسمة هنا بالشكل هنا يبقى بده يصير ال ellipse بالشكل هذا هيك", "tokens": [1829, 3555, 4587, 7578, 1975, 1829, 3224, 9673, 5016, 995, 12610, 25724, 16254, 41891, 22807, 2423, 7649, 20666, 1863, 35457, 3660, 46740, 2423, 8284, 48041, 13672, 7578, 43242, 8315, 2423, 257, 43242, 7578, 4724, 28543, 33599, 22807, 4724, 9640, 3555, 3615, 23032, 3555, 8032, 3215, 7578, 12174, 3215, 33599, 22807, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 1975, 2655, 5016, 31747, 9122, 2304, 7649, 36764, 24401, 15844, 2423, 32640, 9957, 8032, 3215, 7578, 1975, 2655, 5016, 31747, 32767, 28543, 9640, 36764, 24401, 37037, 3215, 7578, 47525, 10721, 6055, 7435, 26895, 4117, 4724, 7435, 36081, 34892, 38251, 3660, 34105, 20666, 8592, 28820, 34105, 7251, 3555, 4587, 7578, 47525, 3224, 7251, 9381, 13546, 2423, 8284, 48041, 20666, 8592, 28820, 23758, 39896, 4117], "avg_logprob": -0.2366803238382105, "compression_ratio": 1.944700460829493, "no_speech_prob": 0.0, "words": [{"start": 1125.12, "end": 1125.56, "word": "يبقى", "probability": 0.75469970703125}, {"start": 1125.56, "end": 1125.76, "word": " ايه", "probability": 0.7244466145833334}, {"start": 1125.76, "end": 1126.38, "word": " المحاول", "probability": 0.9794921875}, {"start": 1126.38, "end": 1127.52, "word": " الجديدة؟", "probability": 0.75836181640625}, {"start": 1127.52, "end": 1128.08, "word": " الان", "probability": 0.6278076171875}, {"start": 1128.08, "end": 1129.36, "word": " بالنسبة", "probability": 0.96630859375}, {"start": 1129.36, "end": 1129.74, "word": " له", "probability": 0.254638671875}, {"start": 1129.74, "end": 1130.52, "word": " ال", "probability": 0.80517578125}, {"start": 1130.52, "end": 1131.0, "word": " ellipse", "probability": 0.660888671875}, {"start": 1131.0, "end": 1131.24, "word": " اللى", "probability": 0.6697998046875}, {"start": 1131.24, "end": 1131.6, "word": " عندنا", "probability": 0.790283203125}, {"start": 1131.6, "end": 1131.78, "word": " ال", "probability": 0.6708984375}, {"start": 1131.78, "end": 1132.1, "word": " a", "probability": 0.40478515625}, {"start": 1132.1, "end": 1132.72, "word": " عندى", "probability": 0.734619140625}, {"start": 1132.72, "end": 1133.58, "word": " بقداش؟", "probability": 0.644775390625}, {"start": 1133.58, "end": 1134.32, "word": " باربع", "probability": 0.765869140625}, {"start": 1134.32, "end": 1134.92, "word": " طب", "probability": 0.87744140625}, {"start": 1134.92, "end": 1135.26, "word": " هدى", "probability": 0.7052408854166666}, {"start": 1135.26, "end": 1136.12, "word": " قداش؟", "probability": 0.8536376953125}, {"start": 1136.12, "end": 1137.24, "word": " تلاتة", "probability": 0.8564453125}, {"start": 1137.24, "end": 1137.64, "word": " يبقى", "probability": 0.8681640625}, {"start": 1137.64, "end": 1138.18, "word": " اتحرك", "probability": 0.947265625}, {"start": 1138.18, "end": 1138.56, "word": " كمان", "probability": 0.9767252604166666}, {"start": 1138.56, "end": 1139.04, "word": " واحد", "probability": 0.98876953125}, {"start": 1139.04, "end": 1139.44, "word": " على", "probability": 0.7373046875}, {"start": 1139.44, "end": 1140.86, "word": " اليمين", "probability": 0.8776041666666666}, {"start": 1140.86, "end": 1141.56, "word": " هدى", "probability": 0.5828857421875}, {"start": 1141.56, "end": 1142.02, "word": " اتحرك", "probability": 0.9671630859375}, {"start": 1142.02, "end": 1142.58, "word": " لمقدار", "probability": 0.70361328125}, {"start": 1142.58, "end": 1143.1, "word": " واحد", "probability": 0.988037109375}, {"start": 1143.1, "end": 1144.14, "word": " وهدى", "probability": 0.87109375}, {"start": 1144.14, "end": 1144.52, "word": " بدأ", "probability": 0.7490234375}, {"start": 1144.52, "end": 1145.34, "word": " تجيلك", "probability": 0.83367919921875}, {"start": 1145.34, "end": 1146.2, "word": " بجيت", "probability": 0.6934407552083334}, {"start": 1146.2, "end": 1147.06, "word": " الرسمة", "probability": 0.8728841145833334}, {"start": 1147.06, "end": 1147.66, "word": " هنا", "probability": 0.890625}, {"start": 1147.66, "end": 1148.28, "word": " بالشكل", "probability": 0.9801432291666666}, {"start": 1148.28, "end": 1148.62, "word": " هنا", "probability": 0.59765625}, {"start": 1148.62, "end": 1149.42, "word": " يبقى", "probability": 0.9639892578125}, {"start": 1149.42, "end": 1149.8, "word": " بده", "probability": 0.8525390625}, {"start": 1149.8, "end": 1150.16, "word": " يصير", "probability": 0.9612630208333334}, {"start": 1150.16, "end": 1150.36, "word": " ال", "probability": 0.95068359375}, {"start": 1150.36, "end": 1151.24, "word": " ellipse", "probability": 0.960693359375}, {"start": 1151.24, "end": 1151.9, "word": " بالشكل", "probability": 0.955078125}, {"start": 1151.9, "end": 1152.24, "word": " هذا", "probability": 0.8154296875}, {"start": 1152.24, "end": 1152.66, "word": " هيك", "probability": 0.877197265625}], "temperature": 1.0}, {"id": 51, "seek": 116854, "start": 1154.82, "end": 1168.54, "text": "طبعاً يبقى هذا شكل ال الابس عندنا طيب الآن بدنا نجيب باقى المعلومات جليهات للبقرتين", "tokens": [9566, 3555, 3615, 995, 14111, 7251, 3555, 4587, 7578, 23758, 13412, 28820, 2423, 2423, 16758, 3794, 43242, 8315, 23032, 1829, 3555, 6024, 48506, 47525, 8315, 8717, 7435, 1829, 3555, 4724, 995, 4587, 7578, 9673, 30241, 20498, 9307, 10874, 20292, 3224, 9307, 24976, 3555, 4587, 43500, 9957], "avg_logprob": -0.36203458841810837, "compression_ratio": 1.4615384615384615, "no_speech_prob": 0.0, "words": [{"start": 1154.82, "end": 1155.48, "word": "طبعاً", "probability": 0.46015625}, {"start": 1155.48, "end": 1156.26, "word": " يبقى", "probability": 0.7279052734375}, {"start": 1156.26, "end": 1156.54, "word": " هذا", "probability": 0.87109375}, {"start": 1156.54, "end": 1157.04, "word": " شكل", "probability": 0.829833984375}, {"start": 1157.04, "end": 1157.2, "word": " ال", "probability": 0.8359375}, {"start": 1157.2, "end": 1157.66, "word": " الابس", "probability": 0.6155192057291666}, {"start": 1157.66, "end": 1158.78, "word": " عندنا", "probability": 0.6473388671875}, {"start": 1158.78, "end": 1163.72, "word": " طيب", "probability": 0.87353515625}, {"start": 1163.72, "end": 1164.62, "word": " الآن", "probability": 0.57586669921875}, {"start": 1164.62, "end": 1164.94, "word": " بدنا", "probability": 0.802490234375}, {"start": 1164.94, "end": 1165.18, "word": " نجيب", "probability": 0.9954833984375}, {"start": 1165.18, "end": 1165.58, "word": " باقى", "probability": 0.83917236328125}, {"start": 1165.58, "end": 1166.58, "word": " المعلومات", "probability": 0.9918212890625}, {"start": 1166.58, "end": 1167.4, "word": " جليهات", "probability": 0.72723388671875}, {"start": 1167.4, "end": 1168.54, "word": " للبقرتين", "probability": 0.834033203125}], "temperature": 1.0}, {"id": 52, "seek": 119453, "start": 1168.85, "end": 1194.53, "text": "فباجي بقوله اضيفه كي ار من هم نيجي هاي سالب تلاتة هو اللي حصله تغيير يبقى بده اضيفله و اطرح منه سبعة تحت الجذر والاحداث الراسي هل تغير؟ لم يتغير، اذا مين اللي بيسأل؟ ايوة؟", "tokens": [5172, 3555, 26108, 1829, 4724, 39648, 3224, 1975, 11242, 33911, 3224, 9122, 1829, 1975, 2288, 9154, 8032, 2304, 8717, 1829, 7435, 1829, 8032, 47302, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 31439, 13672, 1829, 11331, 36520, 3224, 6055, 17082, 1829, 13546, 7251, 3555, 4587, 7578, 47525, 3224, 1975, 11242, 33911, 43761, 4032, 1975, 9566, 2288, 5016, 9154, 3224, 8608, 3555, 27884, 6055, 33753, 25724, 8848, 2288, 16070, 995, 24401, 5718, 104, 34892, 32277, 1829, 8032, 1211, 6055, 17082, 13546, 22807, 32767, 7251, 2655, 17082, 13546, 12399, 1975, 15730, 3714, 9957, 13672, 1829, 4724, 1829, 3794, 10721, 1211, 22807, 1975, 1829, 2407, 3660, 22807], "avg_logprob": -0.27914664349876916, "compression_ratio": 1.7303370786516854, "no_speech_prob": 0.0, "words": [{"start": 1168.85, "end": 1169.53, "word": "فباجي", "probability": 0.734130859375}, {"start": 1169.53, "end": 1170.25, "word": " بقوله", "probability": 0.77001953125}, {"start": 1170.25, "end": 1171.43, "word": " اضيفه", "probability": 0.60595703125}, {"start": 1171.43, "end": 1172.51, "word": " كي", "probability": 0.400146484375}, {"start": 1172.51, "end": 1173.27, "word": " ار", "probability": 0.6943359375}, {"start": 1173.27, "end": 1174.23, "word": " من", "probability": 0.78759765625}, {"start": 1174.23, "end": 1174.77, "word": " هم", "probability": 0.5654296875}, {"start": 1174.77, "end": 1176.13, "word": " نيجي", "probability": 0.77117919921875}, {"start": 1176.13, "end": 1176.71, "word": " هاي", "probability": 0.640869140625}, {"start": 1176.71, "end": 1177.35, "word": " سالب", "probability": 0.888671875}, {"start": 1177.35, "end": 1178.09, "word": " تلاتة", "probability": 0.946533203125}, {"start": 1178.09, "end": 1178.63, "word": " هو", "probability": 0.84765625}, {"start": 1178.63, "end": 1178.89, "word": " اللي", "probability": 0.975830078125}, {"start": 1178.89, "end": 1179.57, "word": " حصله", "probability": 0.8141276041666666}, {"start": 1179.57, "end": 1180.45, "word": " تغيير", "probability": 0.892578125}, {"start": 1180.45, "end": 1181.21, "word": " يبقى", "probability": 0.8804931640625}, {"start": 1181.21, "end": 1181.61, "word": " بده", "probability": 0.545654296875}, {"start": 1181.61, "end": 1182.45, "word": " اضيفله", "probability": 0.9365234375}, {"start": 1182.45, "end": 1182.91, "word": " و", "probability": 0.73193359375}, {"start": 1182.91, "end": 1183.49, "word": " اطرح", "probability": 0.8880615234375}, {"start": 1183.49, "end": 1184.13, "word": " منه", "probability": 0.992431640625}, {"start": 1184.13, "end": 1185.13, "word": " سبعة", "probability": 0.9713541666666666}, {"start": 1185.13, "end": 1185.73, "word": " تحت", "probability": 0.996826171875}, {"start": 1185.73, "end": 1186.47, "word": " الجذر", "probability": 0.7111002604166666}, {"start": 1186.47, "end": 1187.49, "word": " والاحداث", "probability": 0.64267578125}, {"start": 1187.49, "end": 1188.09, "word": " الراسي", "probability": 0.8748372395833334}, {"start": 1188.09, "end": 1188.35, "word": " هل", "probability": 0.774169921875}, {"start": 1188.35, "end": 1189.59, "word": " تغير؟", "probability": 0.9510498046875}, {"start": 1189.59, "end": 1189.97, "word": " لم", "probability": 0.673828125}, {"start": 1189.97, "end": 1191.17, "word": " يتغير،", "probability": 0.875048828125}, {"start": 1191.17, "end": 1191.87, "word": " اذا", "probability": 0.75830078125}, {"start": 1191.87, "end": 1192.43, "word": " مين", "probability": 0.7156982421875}, {"start": 1192.43, "end": 1192.53, "word": " اللي", "probability": 0.984619140625}, {"start": 1192.53, "end": 1193.23, "word": " بيسأل؟", "probability": 0.85986328125}, {"start": 1193.23, "end": 1194.53, "word": " ايوة؟", "probability": 0.7287109375}], "temperature": 1.0}, {"id": 53, "seek": 122299, "start": 1196.89, "end": 1222.99, "text": "طيب هاي محور X هاي سالب تلاتة ده كتب فيها سبعة يام جدر سبعة وجدر سبعة على الشمال زائد او معاقص جدر سبعة و الواحد الرأسي زي ما هو ماتغيرش الواحد، مصدوق؟ يا راجل هذا ال major axis محور موازي ال X مال لو مال ال Y؟", "tokens": [9566, 1829, 3555, 8032, 47302, 3714, 5016, 13063, 1783, 8032, 47302, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 11778, 3224, 9122, 2655, 3555, 8978, 11296, 8608, 3555, 27884, 7251, 10943, 10874, 3215, 2288, 8608, 3555, 27884, 49610, 3215, 2288, 8608, 3555, 27884, 15844, 25124, 2304, 6027, 30767, 16373, 3215, 1975, 2407, 20449, 995, 4587, 9381, 10874, 3215, 2288, 8608, 3555, 27884, 4032, 2423, 14407, 24401, 34892, 10721, 3794, 1829, 30767, 1829, 19446, 31439, 3714, 9307, 17082, 13546, 8592, 2423, 14407, 24401, 12399, 3714, 9381, 3215, 30543, 22807, 35186, 12602, 26108, 1211, 23758, 2423, 2563, 10298, 3714, 5016, 13063, 3714, 2407, 31377, 1829, 2423, 1783, 3714, 6027, 45164, 3714, 6027, 2423, 398, 22807], "avg_logprob": -0.24585176991150443, "compression_ratio": 1.7920792079207921, "no_speech_prob": 0.0, "words": [{"start": 1196.89, "end": 1197.41, "word": "طيب", "probability": 0.6562093098958334}, {"start": 1197.41, "end": 1197.83, "word": " هاي", "probability": 0.47149658203125}, {"start": 1197.83, "end": 1198.23, "word": " محور", "probability": 0.9446614583333334}, {"start": 1198.23, "end": 1198.55, "word": " X", "probability": 0.70361328125}, {"start": 1198.55, "end": 1199.47, "word": " هاي", "probability": 0.6888427734375}, {"start": 1199.47, "end": 1200.29, "word": " سالب", "probability": 0.8531901041666666}, {"start": 1200.29, "end": 1201.51, "word": " تلاتة", "probability": 0.9163818359375}, {"start": 1201.51, "end": 1202.01, "word": " ده", "probability": 0.737548828125}, {"start": 1202.01, "end": 1202.29, "word": " كتب", "probability": 0.578369140625}, {"start": 1202.29, "end": 1202.67, "word": " فيها", "probability": 0.7568359375}, {"start": 1202.67, "end": 1203.41, "word": " سبعة", "probability": 0.8037109375}, {"start": 1203.41, "end": 1203.69, "word": " يام", "probability": 0.361572265625}, {"start": 1203.69, "end": 1204.11, "word": " جدر", "probability": 0.9226888020833334}, {"start": 1204.11, "end": 1204.59, "word": " سبعة", "probability": 0.953125}, {"start": 1204.59, "end": 1205.13, "word": " وجدر", "probability": 0.853515625}, {"start": 1205.13, "end": 1205.49, "word": " سبعة", "probability": 0.97900390625}, {"start": 1205.49, "end": 1205.65, "word": " على", "probability": 0.5390625}, {"start": 1205.65, "end": 1206.25, "word": " الشمال", "probability": 0.9005533854166666}, {"start": 1206.25, "end": 1208.03, "word": " زائد", "probability": 0.8131510416666666}, {"start": 1208.03, "end": 1208.37, "word": " او", "probability": 0.866455078125}, {"start": 1208.37, "end": 1209.11, "word": " معاقص", "probability": 0.7701416015625}, {"start": 1209.11, "end": 1209.69, "word": " جدر", "probability": 0.97314453125}, {"start": 1209.69, "end": 1209.99, "word": " سبعة", "probability": 0.9684244791666666}, {"start": 1209.99, "end": 1210.15, "word": " و", "probability": 0.279541015625}, {"start": 1210.15, "end": 1210.59, "word": " الواحد", "probability": 0.896484375}, {"start": 1210.59, "end": 1211.23, "word": " الرأسي", "probability": 0.8037109375}, {"start": 1211.23, "end": 1211.53, "word": " زي", "probability": 0.9794921875}, {"start": 1211.53, "end": 1211.71, "word": " ما", "probability": 0.93310546875}, {"start": 1211.71, "end": 1212.03, "word": " هو", "probability": 0.98193359375}, {"start": 1212.03, "end": 1213.31, "word": " ماتغيرش", "probability": 0.840234375}, {"start": 1213.31, "end": 1213.85, "word": " الواحد،", "probability": 0.87060546875}, {"start": 1213.85, "end": 1215.35, "word": " مصدوق؟", "probability": 0.694384765625}, {"start": 1215.35, "end": 1218.19, "word": " يا", "probability": 0.462158203125}, {"start": 1218.19, "end": 1218.65, "word": " راجل", "probability": 0.9851888020833334}, {"start": 1218.65, "end": 1218.97, "word": " هذا", "probability": 0.564453125}, {"start": 1218.97, "end": 1219.19, "word": " ال", "probability": 0.8369140625}, {"start": 1219.19, "end": 1219.51, "word": " major", "probability": 0.76171875}, {"start": 1219.51, "end": 1220.03, "word": " axis", "probability": 0.97216796875}, {"start": 1220.03, "end": 1220.53, "word": " محور", "probability": 0.9596354166666666}, {"start": 1220.53, "end": 1220.97, "word": " موازي", "probability": 0.890869140625}, {"start": 1220.97, "end": 1221.09, "word": " ال", "probability": 0.7529296875}, {"start": 1221.09, "end": 1221.39, "word": " X", "probability": 0.89697265625}, {"start": 1221.39, "end": 1221.77, "word": " مال", "probability": 0.5389404296875}, {"start": 1221.77, "end": 1221.91, "word": " لو", "probability": 0.8115234375}, {"start": 1221.91, "end": 1222.15, "word": " مال", "probability": 0.88720703125}, {"start": 1222.15, "end": 1222.33, "word": " ال", "probability": 0.98779296875}, {"start": 1222.33, "end": 1222.99, "word": " Y؟", "probability": 0.941162109375}], "temperature": 1.0}, {"id": 54, "seek": 124171, "start": 1223.45, "end": 1241.71, "text": "مش هايه اللي عندك الرقم 16 أكبر من 9، يبقى ال major axis هو موازي لمحوركس، اللي هو main الخط هذا، هذا هو ال major axis الآن، تمام؟ يبقى البقرتين عليه، طيب الإحداث السيني هذا قداش، هذه zero، وهذه؟", "tokens": [2304, 8592, 8032, 47302, 3224, 13672, 1829, 43242, 4117, 34892, 4587, 2304, 3165, 5551, 4117, 26890, 9154, 1722, 12399, 7251, 3555, 4587, 7578, 2423, 2563, 10298, 31439, 3714, 2407, 31377, 1829, 32767, 5016, 13063, 4117, 3794, 12399, 13672, 1829, 31439, 2135, 33962, 9566, 23758, 12399, 23758, 31439, 2423, 2563, 10298, 6024, 48506, 12399, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 29739, 4587, 43500, 9957, 47356, 12399, 23032, 1829, 3555, 33688, 24401, 5718, 104, 21136, 9957, 1829, 23758, 12174, 3215, 33599, 12399, 29538, 4018, 12399, 37037, 24192, 22807], "avg_logprob": -0.3414417705075307, "compression_ratio": 1.615, "no_speech_prob": 0.0, "words": [{"start": 1223.45, "end": 1223.73, "word": "مش", "probability": 0.52447509765625}, {"start": 1223.73, "end": 1224.21, "word": " هايه", "probability": 0.453125}, {"start": 1224.21, "end": 1224.33, "word": " اللي", "probability": 0.88818359375}, {"start": 1224.33, "end": 1224.67, "word": " عندك", "probability": 0.97412109375}, {"start": 1224.67, "end": 1225.13, "word": " الرقم", "probability": 0.9422200520833334}, {"start": 1225.13, "end": 1225.69, "word": " 16", "probability": 0.495849609375}, {"start": 1225.69, "end": 1226.15, "word": " أكبر", "probability": 0.8362630208333334}, {"start": 1226.15, "end": 1226.33, "word": " من", "probability": 0.9853515625}, {"start": 1226.33, "end": 1227.31, "word": " 9،", "probability": 0.6217041015625}, {"start": 1227.31, "end": 1227.59, "word": " يبقى", "probability": 0.9539794921875}, {"start": 1227.59, "end": 1227.69, "word": " ال", "probability": 0.841796875}, {"start": 1227.69, "end": 1227.91, "word": " major", "probability": 0.771484375}, {"start": 1227.91, "end": 1228.57, "word": " axis", "probability": 0.98193359375}, {"start": 1228.57, "end": 1228.95, "word": " هو", "probability": 0.96533203125}, {"start": 1228.95, "end": 1229.61, "word": " موازي", "probability": 0.7225341796875}, {"start": 1229.61, "end": 1230.41, "word": " لمحوركس،", "probability": 0.6287638346354166}, {"start": 1230.41, "end": 1230.53, "word": " اللي", "probability": 0.84033203125}, {"start": 1230.53, "end": 1230.67, "word": " هو", "probability": 0.90087890625}, {"start": 1230.67, "end": 1231.01, "word": " main", "probability": 0.30126953125}, {"start": 1231.01, "end": 1232.03, "word": " الخط", "probability": 0.9453125}, {"start": 1232.03, "end": 1232.67, "word": " هذا،", "probability": 0.657958984375}, {"start": 1232.67, "end": 1232.95, "word": " هذا", "probability": 0.896484375}, {"start": 1232.95, "end": 1233.19, "word": " هو", "probability": 0.9912109375}, {"start": 1233.19, "end": 1233.33, "word": " ال", "probability": 0.9501953125}, {"start": 1233.33, "end": 1233.61, "word": " major", "probability": 0.94580078125}, {"start": 1233.61, "end": 1234.17, "word": " axis", "probability": 0.9755859375}, {"start": 1234.17, "end": 1235.03, "word": " الآن،", "probability": 0.6437174479166666}, {"start": 1235.03, "end": 1235.83, "word": " تمام؟", "probability": 0.9016927083333334}, {"start": 1235.83, "end": 1236.39, "word": " يبقى", "probability": 0.983642578125}, {"start": 1236.39, "end": 1237.21, "word": " البقرتين", "probability": 0.654052734375}, {"start": 1237.21, "end": 1237.99, "word": " عليه،", "probability": 0.656005859375}, {"start": 1237.99, "end": 1238.31, "word": " طيب", "probability": 0.9596354166666666}, {"start": 1238.31, "end": 1238.91, "word": " الإحداث", "probability": 0.806396484375}, {"start": 1238.91, "end": 1239.39, "word": " السيني", "probability": 0.81884765625}, {"start": 1239.39, "end": 1239.61, "word": " هذا", "probability": 0.580078125}, {"start": 1239.61, "end": 1240.33, "word": " قداش،", "probability": 0.61309814453125}, {"start": 1240.33, "end": 1240.57, "word": " هذه", "probability": 0.365234375}, {"start": 1240.57, "end": 1241.29, "word": " zero،", "probability": 0.57080078125}, {"start": 1241.29, "end": 1241.71, "word": " وهذه؟", "probability": 0.664306640625}], "temperature": 1.0}, {"id": 55, "seek": 126058, "start": 1242.64, "end": 1260.58, "text": "هي أنا قلنا سالب تلاتة، يبقى السالب تلاتة واحد المركز، على يمينه اتحرك جدر السابعة وعلى شماله سالب جدر السابعة، مظبوط ولا لا؟ يبقى قلنا سالب تلاتة زائد أو نقص جدر السابعة، والرأس يبقى واحد كما هو", "tokens": [3224, 1829, 41850, 12174, 1211, 8315, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 12399, 7251, 3555, 4587, 7578, 21136, 6027, 3555, 6055, 1211, 9307, 3660, 36764, 24401, 9673, 31747, 11622, 12399, 15844, 7251, 2304, 9957, 3224, 1975, 2655, 5016, 31747, 10874, 3215, 2288, 21136, 16758, 27884, 4032, 3615, 23942, 13412, 2304, 6027, 3224, 8608, 6027, 3555, 10874, 3215, 2288, 21136, 16758, 27884, 12399, 3714, 19913, 3555, 2407, 9566, 49429, 20193, 22807, 7251, 3555, 4587, 7578, 12174, 1211, 8315, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 34051, 8717, 4587, 9381, 10874, 3215, 2288, 21136, 16758, 27884, 12399, 16070, 2288, 10721, 3794, 7251, 3555, 4587, 7578, 36764, 24401, 9122, 15042, 31439], "avg_logprob": -0.17754424989750955, "compression_ratio": 2.1197604790419162, "no_speech_prob": 0.0, "words": [{"start": 1242.64, "end": 1243.04, "word": "هي", "probability": 0.21685791015625}, {"start": 1243.04, "end": 1243.2, "word": " أنا", "probability": 0.21875}, {"start": 1243.2, "end": 1243.56, "word": " قلنا", "probability": 0.78515625}, {"start": 1243.56, "end": 1244.02, "word": " سالب", "probability": 0.7230631510416666}, {"start": 1244.02, "end": 1244.5, "word": " تلاتة،", "probability": 0.82666015625}, {"start": 1244.5, "end": 1244.92, "word": " يبقى", "probability": 0.9635009765625}, {"start": 1244.92, "end": 1245.5, "word": " السالب", "probability": 0.8870442708333334}, {"start": 1245.5, "end": 1245.98, "word": " تلاتة", "probability": 0.96826171875}, {"start": 1245.98, "end": 1246.3, "word": " واحد", "probability": 0.7880859375}, {"start": 1246.3, "end": 1247.42, "word": " المركز،", "probability": 0.8642578125}, {"start": 1247.42, "end": 1247.72, "word": " على", "probability": 0.46484375}, {"start": 1247.72, "end": 1248.34, "word": " يمينه", "probability": 0.861572265625}, {"start": 1248.34, "end": 1248.8, "word": " اتحرك", "probability": 0.9498291015625}, {"start": 1248.8, "end": 1249.2, "word": " جدر", "probability": 0.9256184895833334}, {"start": 1249.2, "end": 1249.6, "word": " السابعة", "probability": 0.6402994791666666}, {"start": 1249.6, "end": 1250.06, "word": " وعلى", "probability": 0.7783203125}, {"start": 1250.06, "end": 1250.88, "word": " شماله", "probability": 0.97265625}, {"start": 1250.88, "end": 1251.44, "word": " سالب", "probability": 0.9884440104166666}, {"start": 1251.44, "end": 1251.88, "word": " جدر", "probability": 0.99267578125}, {"start": 1251.88, "end": 1252.68, "word": " السابعة،", "probability": 0.9532470703125}, {"start": 1252.68, "end": 1253.08, "word": " مظبوط", "probability": 0.836279296875}, {"start": 1253.08, "end": 1253.24, "word": " ولا", "probability": 0.935546875}, {"start": 1253.24, "end": 1253.88, "word": " لا؟", "probability": 0.826904296875}, {"start": 1253.88, "end": 1254.32, "word": " يبقى", "probability": 0.975341796875}, {"start": 1254.32, "end": 1254.78, "word": " قلنا", "probability": 0.9288736979166666}, {"start": 1254.78, "end": 1255.36, "word": " سالب", "probability": 0.9833984375}, {"start": 1255.36, "end": 1256.1, "word": " تلاتة", "probability": 0.9862060546875}, {"start": 1256.1, "end": 1256.66, "word": " زائد", "probability": 0.7032063802083334}, {"start": 1256.66, "end": 1256.84, "word": " أو", "probability": 0.634765625}, {"start": 1256.84, "end": 1257.18, "word": " نقص", "probability": 0.98583984375}, {"start": 1257.18, "end": 1257.52, "word": " جدر", "probability": 0.9794921875}, {"start": 1257.52, "end": 1258.28, "word": " السابعة،", "probability": 0.93603515625}, {"start": 1258.28, "end": 1258.98, "word": " والرأس", "probability": 0.7169189453125}, {"start": 1258.98, "end": 1259.52, "word": " يبقى", "probability": 0.84246826171875}, {"start": 1259.52, "end": 1259.96, "word": " واحد", "probability": 0.994140625}, {"start": 1259.96, "end": 1260.34, "word": " كما", "probability": 0.98974609375}, {"start": 1260.34, "end": 1260.58, "word": " هو", "probability": 0.9990234375}], "temperature": 1.0}, {"id": 56, "seek": 128750, "start": 1261.02, "end": 1287.5, "text": "مظبوط؟ يعني بدى يجيلك هنا هى سالب تلاتة سالب جذر سبعة وهدى لو قلنا هنا يمكن تيجي اكتر شوية بعرفش كده الجذر السبعة ليه و بحق اكتر من اتنين و نص اقل اكتر من اتنين و نص اتنين و نص يعني قول تقريبا هنا يبقى هدى بدى يصير سالب تلاتة و زائد جذر سبعة واحد صحى", "tokens": [2304, 19913, 3555, 2407, 9566, 22807, 37495, 22653, 47525, 7578, 7251, 7435, 1829, 23275, 34105, 8032, 7578, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 8608, 6027, 3555, 10874, 8848, 2288, 8608, 3555, 27884, 37037, 3215, 7578, 45164, 12174, 1211, 8315, 34105, 7251, 43020, 6055, 1829, 7435, 1829, 1975, 4117, 2655, 2288, 13412, 2407, 10632, 4724, 3615, 28480, 8592, 9122, 3215, 3224, 25724, 8848, 2288, 21136, 3555, 27884, 32239, 3224, 4032, 4724, 5016, 4587, 1975, 4117, 2655, 2288, 9154, 1975, 2655, 1863, 9957, 4032, 8717, 9381, 1975, 4587, 1211, 1975, 4117, 2655, 2288, 9154, 1975, 2655, 1863, 9957, 4032, 8717, 9381, 1975, 2655, 1863, 9957, 4032, 8717, 9381, 37495, 22653, 12174, 12610, 6055, 4587, 16572, 3555, 995, 34105, 7251, 3555, 4587, 7578, 8032, 3215, 7578, 47525, 7578, 7251, 9381, 13546, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4032, 30767, 16373, 3215, 10874, 8848, 2288, 8608, 3555, 27884, 36764, 24401, 20328, 5016, 7578], "avg_logprob": -0.17557565848294057, "compression_ratio": 2.1707317073170733, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1261.02, "end": 1261.94, "word": "مظبوط؟", "probability": 0.6678873697916666}, {"start": 1261.94, "end": 1262.48, "word": " يعني", "probability": 0.89111328125}, {"start": 1262.48, "end": 1262.82, "word": " بدى", "probability": 0.3170166015625}, {"start": 1262.82, "end": 1263.34, "word": " يجيلك", "probability": 0.8919677734375}, {"start": 1263.34, "end": 1263.72, "word": " هنا", "probability": 0.9208984375}, {"start": 1263.72, "end": 1264.76, "word": " هى", "probability": 0.656982421875}, {"start": 1264.76, "end": 1265.36, "word": " سالب", "probability": 0.7657063802083334}, {"start": 1265.36, "end": 1266.02, "word": " تلاتة", "probability": 0.8697509765625}, {"start": 1266.02, "end": 1266.62, "word": " سالب", "probability": 0.9680989583333334}, {"start": 1266.62, "end": 1267.06, "word": " جذر", "probability": 0.8665364583333334}, {"start": 1267.06, "end": 1267.56, "word": " سبعة", "probability": 0.95947265625}, {"start": 1267.56, "end": 1268.56, "word": " وهدى", "probability": 0.664794921875}, {"start": 1268.56, "end": 1268.8, "word": " لو", "probability": 0.97119140625}, {"start": 1268.8, "end": 1269.36, "word": " قلنا", "probability": 0.8587239583333334}, {"start": 1269.36, "end": 1269.94, "word": " هنا", "probability": 0.8818359375}, {"start": 1269.94, "end": 1271.02, "word": " يمكن", "probability": 0.77587890625}, {"start": 1271.02, "end": 1271.46, "word": " تيجي", "probability": 0.8804931640625}, {"start": 1271.46, "end": 1271.82, "word": " اكتر", "probability": 0.9136962890625}, {"start": 1271.82, "end": 1272.18, "word": " شوية", "probability": 0.9650065104166666}, {"start": 1272.18, "end": 1272.68, "word": " بعرفش", "probability": 0.7239990234375}, {"start": 1272.68, "end": 1272.92, "word": " كده", "probability": 0.7594401041666666}, {"start": 1272.92, "end": 1273.28, "word": " الجذر", "probability": 0.8748372395833334}, {"start": 1273.28, "end": 1273.64, "word": " السبعة", "probability": 0.7762044270833334}, {"start": 1273.64, "end": 1273.84, "word": " ليه", "probability": 0.626953125}, {"start": 1273.84, "end": 1273.9, "word": " و", "probability": 0.228515625}, {"start": 1273.9, "end": 1274.08, "word": " بحق", "probability": 0.6813151041666666}, {"start": 1274.08, "end": 1274.44, "word": " اكتر", "probability": 0.94482421875}, {"start": 1274.44, "end": 1274.6, "word": " من", "probability": 0.98486328125}, {"start": 1274.6, "end": 1275.14, "word": " اتنين", "probability": 0.97705078125}, {"start": 1275.14, "end": 1275.34, "word": " و", "probability": 0.9912109375}, {"start": 1275.34, "end": 1275.74, "word": " نص", "probability": 0.965087890625}, {"start": 1275.74, "end": 1276.5, "word": " اقل", "probability": 0.800048828125}, {"start": 1276.5, "end": 1277.08, "word": " اكتر", "probability": 0.9835205078125}, {"start": 1277.08, "end": 1277.26, "word": " من", "probability": 0.9853515625}, {"start": 1277.26, "end": 1277.64, "word": " اتنين", "probability": 0.984619140625}, {"start": 1277.64, "end": 1277.76, "word": " و", "probability": 0.99169921875}, {"start": 1277.76, "end": 1278.1, "word": " نص", "probability": 0.9833984375}, {"start": 1278.1, "end": 1278.88, "word": " اتنين", "probability": 0.940673828125}, {"start": 1278.88, "end": 1278.98, "word": " و", "probability": 0.994140625}, {"start": 1278.98, "end": 1279.1, "word": " نص", "probability": 0.98779296875}, {"start": 1279.1, "end": 1279.44, "word": " يعني", "probability": 0.935791015625}, {"start": 1279.44, "end": 1279.74, "word": " قول", "probability": 0.828369140625}, {"start": 1279.74, "end": 1280.36, "word": " تقريبا", "probability": 0.994140625}, {"start": 1280.36, "end": 1280.8, "word": " هنا", "probability": 0.9111328125}, {"start": 1280.8, "end": 1282.32, "word": " يبقى", "probability": 0.9017333984375}, {"start": 1282.32, "end": 1282.66, "word": " هدى", "probability": 0.9640299479166666}, {"start": 1282.66, "end": 1283.0, "word": " بدى", "probability": 0.803955078125}, {"start": 1283.0, "end": 1283.38, "word": " يصير", "probability": 0.9651692708333334}, {"start": 1283.38, "end": 1284.02, "word": " سالب", "probability": 0.9840494791666666}, {"start": 1284.02, "end": 1284.66, "word": " تلاتة", "probability": 0.9814453125}, {"start": 1284.66, "end": 1284.84, "word": " و", "probability": 0.83642578125}, {"start": 1284.84, "end": 1285.32, "word": " زائد", "probability": 0.7021484375}, {"start": 1285.32, "end": 1285.82, "word": " جذر", "probability": 0.9881184895833334}, {"start": 1285.82, "end": 1286.38, "word": " سبعة", "probability": 0.9860026041666666}, {"start": 1286.38, "end": 1287.02, "word": " واحد", "probability": 0.877197265625}, {"start": 1287.02, "end": 1287.5, "word": " صحى", "probability": 0.8185221354166666}], "temperature": 1.0}, {"id": 57, "seek": 131528, "start": 1288.1, "end": 1315.28, "text": "هذه فاصلة واحدة صحيحة يبقى هذه البقرتين اللي هو طالبهم بعدها اقل ال vertices بروح بقول له the vertices are نفس القصة هي ناقص ثلاثة زائد او ناقص ايه ال a عندك قداشر اربعة والواحد لم يتغير اللي هو بده يساوي", "tokens": [3224, 24192, 6156, 33546, 37977, 36764, 24401, 3660, 20328, 5016, 1829, 5016, 3660, 7251, 3555, 4587, 7578, 29538, 29739, 4587, 43500, 9957, 13672, 1829, 31439, 23032, 6027, 3555, 16095, 39182, 11296, 1975, 4587, 1211, 2423, 32053, 4724, 32887, 5016, 4724, 39648, 46740, 264, 32053, 366, 8717, 36178, 25062, 9381, 3660, 39896, 8717, 995, 4587, 9381, 38637, 1211, 5718, 104, 3660, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 1975, 1829, 3224, 2423, 257, 43242, 4117, 12174, 3215, 33599, 2288, 1975, 25513, 27884, 16070, 14407, 24401, 32767, 7251, 2655, 17082, 13546, 13672, 1829, 31439, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.2981126308441162, "compression_ratio": 1.6829268292682926, "no_speech_prob": 0.0, "words": [{"start": 1288.1, "end": 1288.88, "word": "هذه", "probability": 0.585693359375}, {"start": 1288.88, "end": 1290.34, "word": " فاصلة", "probability": 0.7781575520833334}, {"start": 1290.34, "end": 1291.5, "word": " واحدة", "probability": 0.7867838541666666}, {"start": 1291.5, "end": 1292.26, "word": " صحيحة", "probability": 0.802978515625}, {"start": 1292.26, "end": 1292.74, "word": " يبقى", "probability": 0.7496337890625}, {"start": 1292.74, "end": 1293.0, "word": " هذه", "probability": 0.123046875}, {"start": 1293.0, "end": 1293.92, "word": " البقرتين", "probability": 0.7183837890625}, {"start": 1293.92, "end": 1294.12, "word": " اللي", "probability": 0.7490234375}, {"start": 1294.12, "end": 1294.24, "word": " هو", "probability": 0.8876953125}, {"start": 1294.24, "end": 1294.76, "word": " طالبهم", "probability": 0.73187255859375}, {"start": 1294.76, "end": 1295.5, "word": " بعدها", "probability": 0.293701171875}, {"start": 1295.5, "end": 1295.7, "word": " اقل", "probability": 0.4291585286458333}, {"start": 1295.7, "end": 1295.88, "word": " ال", "probability": 0.86767578125}, {"start": 1295.88, "end": 1296.54, "word": " vertices", "probability": 0.8232421875}, {"start": 1296.54, "end": 1297.7, "word": " بروح", "probability": 0.8147786458333334}, {"start": 1297.7, "end": 1298.24, "word": " بقول", "probability": 0.724365234375}, {"start": 1298.24, "end": 1298.54, "word": " له", "probability": 0.486572265625}, {"start": 1298.54, "end": 1299.0, "word": " the", "probability": 0.5986328125}, {"start": 1299.0, "end": 1300.6, "word": " vertices", "probability": 0.974609375}, {"start": 1300.6, "end": 1302.32, "word": " are", "probability": 0.85888671875}, {"start": 1302.32, "end": 1303.36, "word": " نفس", "probability": 0.922119140625}, {"start": 1303.36, "end": 1303.92, "word": " القصة", "probability": 0.9519856770833334}, {"start": 1303.92, "end": 1304.14, "word": " هي", "probability": 0.7431640625}, {"start": 1304.14, "end": 1304.58, "word": " ناقص", "probability": 0.90966796875}, {"start": 1304.58, "end": 1305.14, "word": " ثلاثة", "probability": 0.87734375}, {"start": 1305.14, "end": 1306.0, "word": " زائد", "probability": 0.9207356770833334}, {"start": 1306.0, "end": 1306.36, "word": " او", "probability": 0.88134765625}, {"start": 1306.36, "end": 1307.24, "word": " ناقص", "probability": 0.983642578125}, {"start": 1307.24, "end": 1307.9, "word": " ايه", "probability": 0.7119140625}, {"start": 1307.9, "end": 1308.52, "word": " ال", "probability": 0.6904296875}, {"start": 1308.52, "end": 1308.78, "word": " a", "probability": 0.58642578125}, {"start": 1308.78, "end": 1309.16, "word": " عندك", "probability": 0.705322265625}, {"start": 1309.16, "end": 1310.16, "word": " قداشر", "probability": 0.54815673828125}, {"start": 1310.16, "end": 1310.9, "word": " اربعة", "probability": 0.8458658854166666}, {"start": 1310.9, "end": 1311.98, "word": " والواحد", "probability": 0.89501953125}, {"start": 1311.98, "end": 1312.32, "word": " لم", "probability": 0.9189453125}, {"start": 1312.32, "end": 1313.3, "word": " يتغير", "probability": 0.994384765625}, {"start": 1313.3, "end": 1313.94, "word": " اللي", "probability": 0.952880859375}, {"start": 1313.94, "end": 1314.18, "word": " هو", "probability": 0.9814453125}, {"start": 1314.18, "end": 1314.64, "word": " بده", "probability": 0.798095703125}, {"start": 1314.64, "end": 1315.28, "word": " يساوي", "probability": 0.9754638671875}], "temperature": 1.0}, {"id": 58, "seek": 134512, "start": 1315.84, "end": 1345.12, "text": "يبقى هذه اللي هي تساوي سالب تلاتة وزيد أربعة بيظل جداش واحد والواحد and التانية سالب تلاتة وسالب أربعة ليه؟ سالب سبعة وواحد يبقى هذه سالب سبعة واحد وهذه اللي هي واحد واحد خلصنا؟ اه خلصنا انت السؤال نيجي للسؤال الرابع", "tokens": [1829, 3555, 4587, 7578, 29538, 13672, 1829, 39896, 6055, 3794, 995, 45865, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4032, 11622, 25708, 5551, 25513, 27884, 4724, 1829, 19913, 1211, 10874, 3215, 33599, 36764, 24401, 16070, 14407, 24401, 293, 16712, 7649, 10632, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4032, 3794, 6027, 3555, 5551, 25513, 27884, 32239, 3224, 22807, 8608, 6027, 3555, 8608, 3555, 27884, 4032, 14407, 24401, 7251, 3555, 4587, 7578, 29538, 8608, 6027, 3555, 8608, 3555, 27884, 36764, 24401, 37037, 24192, 13672, 1829, 39896, 36764, 24401, 36764, 24401, 16490, 1211, 9381, 8315, 22807, 1975, 3224, 16490, 1211, 9381, 8315, 16472, 2655, 21136, 33604, 6027, 8717, 1829, 7435, 1829, 24976, 3794, 33604, 6027, 34892, 16758, 3615], "avg_logprob": -0.18910256766865396, "compression_ratio": 2.210227272727273, "no_speech_prob": 0.0, "words": [{"start": 1315.84, "end": 1316.46, "word": "يبقى", "probability": 0.81494140625}, {"start": 1316.46, "end": 1316.8, "word": " هذه", "probability": 0.65673828125}, {"start": 1316.8, "end": 1316.94, "word": " اللي", "probability": 0.6346435546875}, {"start": 1316.94, "end": 1317.14, "word": " هي", "probability": 0.75634765625}, {"start": 1317.14, "end": 1317.84, "word": " تساوي", "probability": 0.778076171875}, {"start": 1317.84, "end": 1318.8, "word": " سالب", "probability": 0.6955159505208334}, {"start": 1318.8, "end": 1319.34, "word": " تلاتة", "probability": 0.876708984375}, {"start": 1319.34, "end": 1319.86, "word": " وزيد", "probability": 0.6180013020833334}, {"start": 1319.86, "end": 1320.28, "word": " أربعة", "probability": 0.7972005208333334}, {"start": 1320.28, "end": 1320.66, "word": " بيظل", "probability": 0.67596435546875}, {"start": 1320.66, "end": 1321.46, "word": " جداش", "probability": 0.708251953125}, {"start": 1321.46, "end": 1322.44, "word": " واحد", "probability": 0.81298828125}, {"start": 1322.44, "end": 1323.24, "word": " والواحد", "probability": 0.89013671875}, {"start": 1323.24, "end": 1324.14, "word": " and", "probability": 0.599609375}, {"start": 1324.14, "end": 1325.96, "word": " التانية", "probability": 0.9383138020833334}, {"start": 1325.96, "end": 1326.84, "word": " سالب", "probability": 0.9568684895833334}, {"start": 1326.84, "end": 1327.36, "word": " تلاتة", "probability": 0.970703125}, {"start": 1327.36, "end": 1327.9, "word": " وسالب", "probability": 0.81591796875}, {"start": 1327.9, "end": 1328.36, "word": " أربعة", "probability": 0.90087890625}, {"start": 1328.36, "end": 1328.74, "word": " ليه؟", "probability": 0.6370442708333334}, {"start": 1328.74, "end": 1329.5, "word": " سالب", "probability": 0.9796549479166666}, {"start": 1329.5, "end": 1330.34, "word": " سبعة", "probability": 0.8986002604166666}, {"start": 1330.34, "end": 1331.46, "word": " وواحد", "probability": 0.875}, {"start": 1331.46, "end": 1332.28, "word": " يبقى", "probability": 0.9246826171875}, {"start": 1332.28, "end": 1332.64, "word": " هذه", "probability": 0.890625}, {"start": 1332.64, "end": 1333.3, "word": " سالب", "probability": 0.9798177083333334}, {"start": 1333.3, "end": 1333.88, "word": " سبعة", "probability": 0.9850260416666666}, {"start": 1333.88, "end": 1334.68, "word": " واحد", "probability": 0.81884765625}, {"start": 1334.68, "end": 1335.6, "word": " وهذه", "probability": 0.8203125}, {"start": 1335.6, "end": 1335.78, "word": " اللي", "probability": 0.883056640625}, {"start": 1335.78, "end": 1336.04, "word": " هي", "probability": 0.91552734375}, {"start": 1336.04, "end": 1336.7, "word": " واحد", "probability": 0.991455078125}, {"start": 1336.7, "end": 1337.56, "word": " واحد", "probability": 0.865234375}, {"start": 1337.56, "end": 1339.44, "word": " خلصنا؟", "probability": 0.8392578125}, {"start": 1339.44, "end": 1339.72, "word": " اه", "probability": 0.6949462890625}, {"start": 1339.72, "end": 1340.28, "word": " خلصنا", "probability": 0.9796142578125}, {"start": 1340.28, "end": 1340.52, "word": " انت", "probability": 0.8203125}, {"start": 1340.52, "end": 1341.48, "word": " السؤال", "probability": 0.9552408854166666}, {"start": 1341.48, "end": 1342.78, "word": " نيجي", "probability": 0.8814697265625}, {"start": 1342.78, "end": 1343.88, "word": " للسؤال", "probability": 0.9539794921875}, {"start": 1343.88, "end": 1345.12, "word": " الرابع", "probability": 0.9757486979166666}], "temperature": 1.0}, {"id": 59, "seek": 137231, "start": 1349.63, "end": 1372.31, "text": "سؤال الرابع Find an equation for the ellipse with فكاي بُقرتين اتنين واحد", "tokens": [3794, 33604, 6027, 34892, 16758, 3615, 11809, 364, 5367, 337, 264, 8284, 48041, 365, 6156, 4117, 47302, 4724, 10859, 4587, 43500, 9957, 1975, 2655, 1863, 9957, 36764, 24401], "avg_logprob": -0.4674030254627096, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 1349.6299999999999, "end": 1351.03, "word": "سؤال", "probability": 0.67755126953125}, {"start": 1351.03, "end": 1351.85, "word": " الرابع", "probability": 0.9309895833333334}, {"start": 1351.85, "end": 1352.51, "word": " Find", "probability": 0.02978515625}, {"start": 1352.51, "end": 1355.27, "word": " an", "probability": 0.7236328125}, {"start": 1355.27, "end": 1356.77, "word": " equation", "probability": 0.9384765625}, {"start": 1356.77, "end": 1358.23, "word": " for", "probability": 0.92041015625}, {"start": 1358.23, "end": 1359.61, "word": " the", "probability": 0.36474609375}, {"start": 1359.61, "end": 1360.35, "word": " ellipse", "probability": 0.971435546875}, {"start": 1360.35, "end": 1364.35, "word": " with", "probability": 0.7646484375}, {"start": 1364.35, "end": 1367.37, "word": " فكاي", "probability": 0.5039469401041666}, {"start": 1367.37, "end": 1369.35, "word": " بُقرتين", "probability": 0.744091796875}, {"start": 1369.35, "end": 1370.95, "word": " اتنين", "probability": 0.85791015625}, {"start": 1370.95, "end": 1372.31, "word": " واحد", "probability": 0.83642578125}], "temperature": 1.0}, {"id": 60, "seek": 139504, "start": 1373.98, "end": 1395.04, "text": "أتنين و واحد و أتنين و سالب تلاتة and major axis و المحور الرئيسي of length", "tokens": [10721, 2655, 1863, 9957, 4032, 36764, 24401, 4032, 5551, 2655, 1863, 9957, 4032, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 293, 2563, 10298, 4032, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 295, 4641], "avg_logprob": -0.31964284351893835, "compression_ratio": 1.1616161616161615, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1373.98, "end": 1374.68, "word": "أتنين", "probability": 0.683563232421875}, {"start": 1374.68, "end": 1374.84, "word": " و", "probability": 0.72900390625}, {"start": 1374.84, "end": 1375.46, "word": " واحد", "probability": 0.802001953125}, {"start": 1375.46, "end": 1377.0, "word": " و", "probability": 0.5087890625}, {"start": 1377.0, "end": 1379.6, "word": " أتنين", "probability": 0.82733154296875}, {"start": 1379.6, "end": 1380.16, "word": " و", "probability": 0.59814453125}, {"start": 1380.16, "end": 1380.84, "word": " سالب", "probability": 0.8966471354166666}, {"start": 1380.84, "end": 1381.84, "word": " تلاتة", "probability": 0.80072021484375}, {"start": 1381.84, "end": 1382.72, "word": " and", "probability": 0.22705078125}, {"start": 1382.72, "end": 1383.1, "word": " major", "probability": 0.86279296875}, {"start": 1383.1, "end": 1389.12, "word": " axis", "probability": 0.91650390625}, {"start": 1389.12, "end": 1389.9, "word": " و", "probability": 0.437744140625}, {"start": 1389.9, "end": 1390.6, "word": " المحور", "probability": 0.8914388020833334}, {"start": 1390.6, "end": 1392.3, "word": " الرئيسي", "probability": 0.98994140625}, {"start": 1392.3, "end": 1393.22, "word": " of", "probability": 0.94384765625}, {"start": 1393.22, "end": 1395.04, "word": " length", "probability": 0.83447265625}], "temperature": 1.0}, {"id": 61, "seek": 141431, "start": 1395.97, "end": 1414.31, "text": "ستة قولوا يستوي ستة find its center بدنا المركز تبعه and ال vertices بدنا كمان الرأسين جدار", "tokens": [3794, 2655, 3660, 12174, 12610, 14407, 7251, 14851, 45865, 8608, 2655, 3660, 915, 1080, 3056, 47525, 8315, 9673, 31747, 11622, 6055, 3555, 3615, 3224, 293, 2423, 32053, 47525, 8315, 9122, 2304, 7649, 34892, 10721, 3794, 9957, 10874, 3215, 9640], "avg_logprob": -0.3322265513241291, "compression_ratio": 1.2241379310344827, "no_speech_prob": 0.0, "words": [{"start": 1395.97, "end": 1396.81, "word": "ستة", "probability": 0.5658976236979166}, {"start": 1396.81, "end": 1397.47, "word": " قولوا", "probability": 0.4901936848958333}, {"start": 1397.47, "end": 1397.91, "word": " يستوي", "probability": 0.650146484375}, {"start": 1397.91, "end": 1399.03, "word": " ستة", "probability": 0.94140625}, {"start": 1399.03, "end": 1399.95, "word": " find", "probability": 0.5166015625}, {"start": 1399.95, "end": 1402.05, "word": " its", "probability": 0.77783203125}, {"start": 1402.05, "end": 1403.65, "word": " center", "probability": 0.8525390625}, {"start": 1403.65, "end": 1404.55, "word": " بدنا", "probability": 0.702392578125}, {"start": 1404.55, "end": 1405.17, "word": " المركز", "probability": 0.9508463541666666}, {"start": 1405.17, "end": 1406.37, "word": " تبعه", "probability": 0.855224609375}, {"start": 1406.37, "end": 1407.25, "word": " and", "probability": 0.8681640625}, {"start": 1407.25, "end": 1408.47, "word": " ال", "probability": 0.94091796875}, {"start": 1408.47, "end": 1409.17, "word": " vertices", "probability": 0.90625}, {"start": 1409.17, "end": 1411.81, "word": " بدنا", "probability": 0.94775390625}, {"start": 1411.81, "end": 1412.27, "word": " كمان", "probability": 0.96142578125}, {"start": 1412.27, "end": 1413.17, "word": " الرأسين", "probability": 0.9345703125}, {"start": 1413.17, "end": 1414.31, "word": " جدار", "probability": 0.6206868489583334}], "temperature": 1.0}, {"id": 62, "seek": 146179, "start": 1435.05, "end": 1461.79, "text": "بنرجع لسؤالنا مرة تانية بيقول ياسي يوم اعطي ال ellipse ومعطيني بؤرتين بالشكل هذا السؤال يالكم من خلال البؤرتين ال ellipse معموله shift ولا ما هواش معموله shift؟ معموله shift لأنه لو ماكانش معمول ياما zero رقم، ياما رقم و zero، هذا مش معمول، بس كونه ماعنديش zero، إذن automatic هذا معموله shift", "tokens": [3555, 1863, 47341, 3615, 5296, 3794, 33604, 6027, 8315, 3714, 25720, 6055, 7649, 10632, 4724, 1829, 39648, 7251, 32277, 1829, 7251, 20498, 1975, 3615, 9566, 1829, 2423, 8284, 48041, 4032, 2304, 3615, 9566, 9957, 1829, 4724, 33604, 43500, 9957, 20666, 8592, 28820, 23758, 21136, 33604, 6027, 7251, 6027, 24793, 9154, 16490, 1211, 6027, 29739, 33604, 43500, 9957, 2423, 8284, 48041, 20449, 2304, 12610, 3224, 5513, 49429, 19446, 31439, 33599, 20449, 2304, 12610, 3224, 5513, 22807, 20449, 2304, 12610, 3224, 5513, 5296, 33456, 3224, 45164, 19446, 41361, 8592, 20449, 2304, 12610, 7251, 10943, 995, 4018, 12602, 4587, 2304, 12399, 7251, 10943, 995, 12602, 4587, 2304, 4032, 4018, 12399, 23758, 37893, 20449, 2304, 12610, 12399, 4724, 3794, 9122, 11536, 3224, 19446, 3615, 1863, 16254, 8592, 4018, 12399, 11933, 8848, 1863, 12509, 23758, 20449, 2304, 12610, 3224, 5513], "avg_logprob": -0.28860292890492606, "compression_ratio": 1.9793388429752066, "no_speech_prob": 0.0, "words": [{"start": 1435.05, "end": 1435.45, "word": "بنرجع", "probability": 0.594940185546875}, {"start": 1435.45, "end": 1435.91, "word": " لسؤالنا", "probability": 0.6972900390625}, {"start": 1435.91, "end": 1436.19, "word": " مرة", "probability": 0.918701171875}, {"start": 1436.19, "end": 1436.57, "word": " تانية", "probability": 0.9488932291666666}, {"start": 1436.57, "end": 1437.57, "word": " بيقول", "probability": 0.6258138020833334}, {"start": 1437.57, "end": 1437.99, "word": " ياسي", "probability": 0.4633382161458333}, {"start": 1437.99, "end": 1438.15, "word": " يوم", "probability": 0.403076171875}, {"start": 1438.15, "end": 1438.53, "word": " اعطي", "probability": 0.70867919921875}, {"start": 1438.53, "end": 1438.63, "word": " ال", "probability": 0.7724609375}, {"start": 1438.63, "end": 1438.99, "word": " ellipse", "probability": 0.6668701171875}, {"start": 1438.99, "end": 1439.73, "word": " ومعطيني", "probability": 0.8302001953125}, {"start": 1439.73, "end": 1440.77, "word": " بؤرتين", "probability": 0.7628173828125}, {"start": 1440.77, "end": 1441.41, "word": " بالشكل", "probability": 0.9596354166666666}, {"start": 1441.41, "end": 1441.79, "word": " هذا", "probability": 0.896484375}, {"start": 1441.79, "end": 1442.51, "word": " السؤال", "probability": 0.8938802083333334}, {"start": 1442.51, "end": 1443.11, "word": " يالكم", "probability": 0.515869140625}, {"start": 1443.11, "end": 1443.85, "word": " من", "probability": 0.892578125}, {"start": 1443.85, "end": 1444.35, "word": " خلال", "probability": 0.9951171875}, {"start": 1444.35, "end": 1445.25, "word": " البؤرتين", "probability": 0.939697265625}, {"start": 1445.25, "end": 1445.73, "word": " ال", "probability": 0.91943359375}, {"start": 1445.73, "end": 1446.11, "word": " ellipse", "probability": 0.96875}, {"start": 1446.11, "end": 1446.61, "word": " معموله", "probability": 0.7593994140625}, {"start": 1446.61, "end": 1446.89, "word": " shift", "probability": 0.96630859375}, {"start": 1446.89, "end": 1447.19, "word": " ولا", "probability": 0.54248046875}, {"start": 1447.19, "end": 1447.39, "word": " ما", "probability": 0.86376953125}, {"start": 1447.39, "end": 1447.75, "word": " هواش", "probability": 0.6072998046875}, {"start": 1447.75, "end": 1448.25, "word": " معموله", "probability": 0.908447265625}, {"start": 1448.25, "end": 1449.49, "word": " shift؟", "probability": 0.82373046875}, {"start": 1449.49, "end": 1449.89, "word": " معموله", "probability": 0.8822021484375}, {"start": 1449.89, "end": 1450.19, "word": " shift", "probability": 0.98876953125}, {"start": 1450.19, "end": 1450.65, "word": " لأنه", "probability": 0.7572428385416666}, {"start": 1450.65, "end": 1450.79, "word": " لو", "probability": 0.85205078125}, {"start": 1450.79, "end": 1451.27, "word": " ماكانش", "probability": 0.81005859375}, {"start": 1451.27, "end": 1451.71, "word": " معمول", "probability": 0.8701171875}, {"start": 1451.71, "end": 1452.13, "word": " ياما", "probability": 0.7127278645833334}, {"start": 1452.13, "end": 1452.57, "word": " zero", "probability": 0.70703125}, {"start": 1452.57, "end": 1453.91, "word": " رقم،", "probability": 0.839599609375}, {"start": 1453.91, "end": 1454.85, "word": " ياما", "probability": 0.8694661458333334}, {"start": 1454.85, "end": 1455.33, "word": " رقم", "probability": 0.9913736979166666}, {"start": 1455.33, "end": 1455.57, "word": " و", "probability": 0.8603515625}, {"start": 1455.57, "end": 1456.27, "word": " zero،", "probability": 0.4266357421875}, {"start": 1456.27, "end": 1456.51, "word": " هذا", "probability": 0.81689453125}, {"start": 1456.51, "end": 1456.71, "word": " مش", "probability": 0.919921875}, {"start": 1456.71, "end": 1456.95, "word": " معمول،", "probability": 0.7572021484375}, {"start": 1456.95, "end": 1457.23, "word": " بس", "probability": 0.939208984375}, {"start": 1457.23, "end": 1457.81, "word": " كونه", "probability": 0.7923177083333334}, {"start": 1457.81, "end": 1458.79, "word": " ماعنديش", "probability": 0.9556640625}, {"start": 1458.79, "end": 1459.29, "word": " zero،", "probability": 0.68505859375}, {"start": 1459.29, "end": 1459.57, "word": " إذن", "probability": 0.6031901041666666}, {"start": 1459.57, "end": 1460.11, "word": " automatic", "probability": 0.626953125}, {"start": 1460.11, "end": 1460.51, "word": " هذا", "probability": 0.9208984375}, {"start": 1460.51, "end": 1461.33, "word": " معموله", "probability": 0.9622802734375}, {"start": 1461.33, "end": 1461.79, "word": " shift", "probability": 0.98974609375}], "temperature": 1.0}, {"id": 63, "seek": 147643, "start": 1462.05, "end": 1476.43, "text": "الان بدى اعرف هل الرسم هذى فوق ال axis خط موازي إلى محور X ولا موازي إلى محور Y؟ ابنى جيه نرسم، فلو جينا رسمنا بنقول هذا المنحناه اللى عندي", "tokens": [6027, 7649, 47525, 7578, 1975, 3615, 28480, 8032, 1211, 34892, 38251, 8032, 8848, 7578, 6156, 30543, 2423, 10298, 16490, 9566, 3714, 2407, 31377, 1829, 30731, 3714, 5016, 13063, 1783, 49429, 3714, 2407, 31377, 1829, 30731, 3714, 5016, 13063, 398, 22807, 48127, 1863, 7578, 10874, 1829, 3224, 8717, 2288, 38251, 12399, 6156, 1211, 2407, 10874, 1829, 8315, 12602, 38251, 8315, 44945, 39648, 23758, 9673, 1863, 5016, 8315, 3224, 13672, 7578, 18871, 16254], "avg_logprob": -0.2881944473418925, "compression_ratio": 1.6418918918918919, "no_speech_prob": 0.0, "words": [{"start": 1462.05, "end": 1462.59, "word": "الان", "probability": 0.584228515625}, {"start": 1462.59, "end": 1462.91, "word": " بدى", "probability": 0.4234619140625}, {"start": 1462.91, "end": 1463.41, "word": " اعرف", "probability": 0.8800455729166666}, {"start": 1463.41, "end": 1463.85, "word": " هل", "probability": 0.87744140625}, {"start": 1463.85, "end": 1464.31, "word": " الرسم", "probability": 0.9521484375}, {"start": 1464.31, "end": 1464.81, "word": " هذى", "probability": 0.4629720052083333}, {"start": 1464.81, "end": 1465.21, "word": " فوق", "probability": 0.85107421875}, {"start": 1465.21, "end": 1465.39, "word": " ال", "probability": 0.86572265625}, {"start": 1465.39, "end": 1465.81, "word": " axis", "probability": 0.376708984375}, {"start": 1465.81, "end": 1466.69, "word": " خط", "probability": 0.969970703125}, {"start": 1466.69, "end": 1467.17, "word": " موازي", "probability": 0.8016357421875}, {"start": 1467.17, "end": 1467.29, "word": " إلى", "probability": 0.302734375}, {"start": 1467.29, "end": 1467.73, "word": " محور", "probability": 0.9874674479166666}, {"start": 1467.73, "end": 1468.11, "word": " X", "probability": 0.77978515625}, {"start": 1468.11, "end": 1468.39, "word": " ولا", "probability": 0.6826171875}, {"start": 1468.39, "end": 1468.89, "word": " موازي", "probability": 0.9473876953125}, {"start": 1468.89, "end": 1469.01, "word": " إلى", "probability": 0.8515625}, {"start": 1469.01, "end": 1469.53, "word": " محور", "probability": 0.9931640625}, {"start": 1469.53, "end": 1470.17, "word": " Y؟", "probability": 0.6556396484375}, {"start": 1470.17, "end": 1471.13, "word": " ابنى", "probability": 0.4258626302083333}, {"start": 1471.13, "end": 1471.35, "word": " جيه", "probability": 0.635009765625}, {"start": 1471.35, "end": 1472.27, "word": " نرسم،", "probability": 0.8489990234375}, {"start": 1472.27, "end": 1472.67, "word": " فلو", "probability": 0.990234375}, {"start": 1472.67, "end": 1472.95, "word": " جينا", "probability": 0.92822265625}, {"start": 1472.95, "end": 1473.67, "word": " رسمنا", "probability": 0.9088541666666666}, {"start": 1473.67, "end": 1474.23, "word": " بنقول", "probability": 0.914306640625}, {"start": 1474.23, "end": 1474.73, "word": " هذا", "probability": 0.83203125}, {"start": 1474.73, "end": 1475.83, "word": " المنحناه", "probability": 0.829052734375}, {"start": 1475.83, "end": 1476.29, "word": " اللى", "probability": 0.842041015625}, {"start": 1476.29, "end": 1476.43, "word": " عندي", "probability": 0.848876953125}], "temperature": 1.0}, {"id": 64, "seek": 149635, "start": 1477.07, "end": 1496.35, "text": "هذا محور X هذا اللي هو بين محور Y هذه نقطة الأصل جلل بغرتين اتنين و واحد و اتنين و سلب تلاتة اتنين يبقى هاي اتنين و اطلع هنا واحد يبقى هذه اتنين و واحد", "tokens": [3224, 15730, 3714, 5016, 13063, 1783, 23758, 13672, 1829, 31439, 49374, 3714, 5016, 13063, 398, 29538, 8717, 47432, 3660, 16247, 36520, 10874, 1211, 1211, 4724, 17082, 43500, 9957, 1975, 2655, 1863, 9957, 4032, 36764, 24401, 4032, 1975, 2655, 1863, 9957, 4032, 8608, 46152, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 8032, 47302, 1975, 2655, 1863, 9957, 4032, 1975, 9566, 1211, 3615, 34105, 36764, 24401, 7251, 3555, 4587, 7578, 29538, 1975, 2655, 1863, 9957, 4032, 36764, 24401], "avg_logprob": -0.22122712923986157, "compression_ratio": 1.9136690647482015, "no_speech_prob": 0.0, "words": [{"start": 1477.07, "end": 1477.55, "word": "هذا", "probability": 0.721923828125}, {"start": 1477.55, "end": 1478.11, "word": " محور", "probability": 0.9259440104166666}, {"start": 1478.11, "end": 1478.61, "word": " X", "probability": 0.78271484375}, {"start": 1478.61, "end": 1479.49, "word": " هذا", "probability": 0.21826171875}, {"start": 1479.49, "end": 1479.65, "word": " اللي", "probability": 0.574462890625}, {"start": 1479.65, "end": 1479.89, "word": " هو", "probability": 0.94580078125}, {"start": 1479.89, "end": 1480.33, "word": " بين", "probability": 0.8798828125}, {"start": 1480.33, "end": 1481.37, "word": " محور", "probability": 0.9044596354166666}, {"start": 1481.37, "end": 1481.83, "word": " Y", "probability": 0.96923828125}, {"start": 1481.83, "end": 1482.19, "word": " هذه", "probability": 0.365478515625}, {"start": 1482.19, "end": 1482.91, "word": " نقطة", "probability": 0.97998046875}, {"start": 1482.91, "end": 1483.55, "word": " الأصل", "probability": 0.82763671875}, {"start": 1483.55, "end": 1484.79, "word": " جلل", "probability": 0.54150390625}, {"start": 1484.79, "end": 1485.79, "word": " بغرتين", "probability": 0.76043701171875}, {"start": 1485.79, "end": 1486.31, "word": " اتنين", "probability": 0.77813720703125}, {"start": 1486.31, "end": 1486.47, "word": " و", "probability": 0.70556640625}, {"start": 1486.47, "end": 1486.91, "word": " واحد", "probability": 0.82275390625}, {"start": 1486.91, "end": 1487.11, "word": " و", "probability": 0.91455078125}, {"start": 1487.11, "end": 1487.45, "word": " اتنين", "probability": 0.9095458984375}, {"start": 1487.45, "end": 1487.59, "word": " و", "probability": 0.66796875}, {"start": 1487.59, "end": 1488.05, "word": " سلب", "probability": 0.841064453125}, {"start": 1488.05, "end": 1488.99, "word": " تلاتة", "probability": 0.95458984375}, {"start": 1488.99, "end": 1490.05, "word": " اتنين", "probability": 0.962158203125}, {"start": 1490.05, "end": 1490.67, "word": " يبقى", "probability": 0.91943359375}, {"start": 1490.67, "end": 1491.11, "word": " هاي", "probability": 0.6875}, {"start": 1491.11, "end": 1491.83, "word": " اتنين", "probability": 0.990234375}, {"start": 1491.83, "end": 1492.19, "word": " و", "probability": 0.892578125}, {"start": 1492.19, "end": 1492.65, "word": " اطلع", "probability": 0.84112548828125}, {"start": 1492.65, "end": 1492.97, "word": " هنا", "probability": 0.93701171875}, {"start": 1492.97, "end": 1493.63, "word": " واحد", "probability": 0.857177734375}, {"start": 1493.63, "end": 1494.53, "word": " يبقى", "probability": 0.988525390625}, {"start": 1494.53, "end": 1494.87, "word": " هذه", "probability": 0.458984375}, {"start": 1494.87, "end": 1495.75, "word": " اتنين", "probability": 0.9925537109375}, {"start": 1495.75, "end": 1495.97, "word": " و", "probability": 0.71630859375}, {"start": 1495.97, "end": 1496.35, "word": " واحد", "probability": 0.9462890625}], "temperature": 1.0}, {"id": 65, "seek": 152091, "start": 1496.81, "end": 1520.91, "text": "البقرة التانية اتنين و سلب تلاتة يبقى على الخط اللي عندنا هذا هي اتنين و بدي أنزل سلب تلاتة اللي هي النقطة اللي عندنا هذا يبقى اتنين و سلب تلاتة هي البقرتين اللي موجودات عندنا طيب", "tokens": [6027, 3555, 4587, 25720, 16712, 7649, 10632, 1975, 2655, 1863, 9957, 4032, 8608, 46152, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 15844, 33962, 9566, 13672, 1829, 43242, 8315, 23758, 39896, 1975, 2655, 1863, 9957, 4032, 4724, 16254, 14739, 11622, 1211, 8608, 46152, 6055, 1211, 9307, 3660, 13672, 1829, 39896, 28239, 47432, 3660, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 4032, 8608, 46152, 6055, 1211, 9307, 3660, 39896, 29739, 4587, 43500, 9957, 13672, 1829, 3714, 29245, 23328, 9307, 43242, 8315, 23032, 1829, 3555], "avg_logprob": -0.13576389335923725, "compression_ratio": 2.2907801418439715, "no_speech_prob": 0.0, "words": [{"start": 1496.81, "end": 1497.63, "word": "البقرة", "probability": 0.69464111328125}, {"start": 1497.63, "end": 1498.19, "word": " التانية", "probability": 0.9173177083333334}, {"start": 1498.19, "end": 1498.61, "word": " اتنين", "probability": 0.762481689453125}, {"start": 1498.61, "end": 1498.79, "word": " و", "probability": 0.61181640625}, {"start": 1498.79, "end": 1499.23, "word": " سلب", "probability": 0.796142578125}, {"start": 1499.23, "end": 1499.97, "word": " تلاتة", "probability": 0.9239501953125}, {"start": 1499.97, "end": 1500.85, "word": " يبقى", "probability": 0.924560546875}, {"start": 1500.85, "end": 1501.11, "word": " على", "probability": 0.90185546875}, {"start": 1501.11, "end": 1501.75, "word": " الخط", "probability": 0.971923828125}, {"start": 1501.75, "end": 1502.05, "word": " اللي", "probability": 0.7275390625}, {"start": 1502.05, "end": 1502.73, "word": " عندنا", "probability": 0.990234375}, {"start": 1502.73, "end": 1503.33, "word": " هذا", "probability": 0.904296875}, {"start": 1503.33, "end": 1504.09, "word": " هي", "probability": 0.669921875}, {"start": 1504.09, "end": 1505.11, "word": " اتنين", "probability": 0.9678955078125}, {"start": 1505.11, "end": 1505.49, "word": " و", "probability": 0.79541015625}, {"start": 1505.49, "end": 1505.75, "word": " بدي", "probability": 0.594970703125}, {"start": 1505.75, "end": 1506.21, "word": " أنزل", "probability": 0.8297526041666666}, {"start": 1506.21, "end": 1506.73, "word": " سلب", "probability": 0.950439453125}, {"start": 1506.73, "end": 1507.37, "word": " تلاتة", "probability": 0.9833984375}, {"start": 1507.37, "end": 1507.53, "word": " اللي", "probability": 0.942626953125}, {"start": 1507.53, "end": 1507.63, "word": " هي", "probability": 0.9072265625}, {"start": 1507.63, "end": 1508.21, "word": " النقطة", "probability": 0.9505208333333334}, {"start": 1508.21, "end": 1508.35, "word": " اللي", "probability": 0.977294921875}, {"start": 1508.35, "end": 1508.75, "word": " عندنا", "probability": 0.966552734375}, {"start": 1508.75, "end": 1509.01, "word": " هذا", "probability": 0.82958984375}, {"start": 1509.01, "end": 1509.99, "word": " يبقى", "probability": 0.9578857421875}, {"start": 1509.99, "end": 1510.55, "word": " اتنين", "probability": 0.9820556640625}, {"start": 1510.55, "end": 1510.73, "word": " و", "probability": 0.892578125}, {"start": 1510.73, "end": 1511.29, "word": " سلب", "probability": 0.975341796875}, {"start": 1511.29, "end": 1512.07, "word": " تلاتة", "probability": 0.9915771484375}, {"start": 1512.07, "end": 1512.41, "word": " هي", "probability": 0.8935546875}, {"start": 1512.41, "end": 1513.73, "word": " البقرتين", "probability": 0.9580078125}, {"start": 1513.73, "end": 1514.39, "word": " اللي", "probability": 0.983642578125}, {"start": 1514.39, "end": 1515.47, "word": " موجودات", "probability": 0.9307861328125}, {"start": 1515.47, "end": 1516.43, "word": " عندنا", "probability": 0.969970703125}, {"start": 1516.43, "end": 1520.91, "word": " طيب", "probability": 0.94384765625}], "temperature": 1.0}, {"id": 66, "seek": 153726, "start": 1521.82, "end": 1537.26, "text": "هذه البُقرة تنقض على الرأس و تحت البُقرة الثانية و بعد البُقرة الأولى يبقى لو رسمت ال ellipse سيأخذ الشكل التالي بهذا الشكل", "tokens": [3224, 24192, 29739, 10859, 4587, 25720, 6055, 1863, 4587, 11242, 15844, 34892, 10721, 3794, 4032, 6055, 33753, 29739, 10859, 4587, 25720, 6024, 104, 7649, 10632, 4032, 39182, 29739, 10859, 4587, 25720, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 45164, 12602, 38251, 2655, 2423, 8284, 48041, 8608, 1829, 10721, 9778, 8848, 25124, 28820, 16712, 6027, 1829, 39627, 15730, 25124, 28820], "avg_logprob": -0.38359376390775046, "compression_ratio": 1.5955882352941178, "no_speech_prob": 0.0, "words": [{"start": 1521.82, "end": 1522.28, "word": "هذه", "probability": 0.773193359375}, {"start": 1522.28, "end": 1522.76, "word": " البُقرة", "probability": 0.726104736328125}, {"start": 1522.76, "end": 1523.2, "word": " تنقض", "probability": 0.7657470703125}, {"start": 1523.2, "end": 1523.4, "word": " على", "probability": 0.37353515625}, {"start": 1523.4, "end": 1523.96, "word": " الرأس", "probability": 0.9568684895833334}, {"start": 1523.96, "end": 1524.42, "word": " و", "probability": 0.1593017578125}, {"start": 1524.42, "end": 1527.06, "word": " تحت", "probability": 0.3516845703125}, {"start": 1527.06, "end": 1527.76, "word": " البُقرة", "probability": 0.9552001953125}, {"start": 1527.76, "end": 1529.36, "word": " الثانية", "probability": 0.86846923828125}, {"start": 1529.36, "end": 1529.36, "word": " و", "probability": 0.2210693359375}, {"start": 1529.36, "end": 1529.36, "word": " بعد", "probability": 0.270263671875}, {"start": 1529.36, "end": 1529.36, "word": " البُقرة", "probability": 0.974853515625}, {"start": 1529.36, "end": 1529.36, "word": " الأولى", "probability": 0.9518229166666666}, {"start": 1529.36, "end": 1530.28, "word": " يبقى", "probability": 0.8441162109375}, {"start": 1530.28, "end": 1530.46, "word": " لو", "probability": 0.452392578125}, {"start": 1530.46, "end": 1532.34, "word": " رسمت", "probability": 0.755615234375}, {"start": 1532.34, "end": 1532.58, "word": " ال", "probability": 0.69287109375}, {"start": 1532.58, "end": 1533.16, "word": " ellipse", "probability": 0.50543212890625}, {"start": 1533.16, "end": 1533.92, "word": " سيأخذ", "probability": 0.6363037109375}, {"start": 1533.92, "end": 1534.68, "word": " الشكل", "probability": 0.90234375}, {"start": 1534.68, "end": 1535.7, "word": " التالي", "probability": 0.9850260416666666}, {"start": 1535.7, "end": 1536.72, "word": " بهذا", "probability": 0.69873046875}, {"start": 1536.72, "end": 1537.26, "word": " الشكل", "probability": 0.98193359375}], "temperature": 1.0}, {"id": 67, "seek": 156598, "start": 1539.66, "end": 1565.98, "text": "يبقى هذا ال ellipse هاللي عندنا طيب رسمنا رسم أولي لل ellipse نجي نشوف باقى المعلومات لما يقوللي هذه البقرتين بدت أطلع C ولا لأ قاللي ال major axis طوله يستوي كده؟ ستة ال major axis ببدأ من عند النقطة هذه", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 8284, 48041, 8032, 6027, 20292, 43242, 8315, 23032, 1829, 3555, 12602, 38251, 8315, 12602, 38251, 5551, 12610, 1829, 24976, 8284, 48041, 8717, 7435, 1829, 8717, 8592, 38688, 4724, 995, 4587, 7578, 9673, 30241, 20498, 9307, 5296, 15042, 7251, 39648, 20292, 29538, 29739, 4587, 43500, 9957, 47525, 2655, 5551, 9566, 1211, 3615, 383, 49429, 5296, 10721, 50239, 20292, 2423, 2563, 10298, 23032, 12610, 3224, 7251, 14851, 45865, 9122, 3215, 3224, 22807, 8608, 2655, 3660, 2423, 2563, 10298, 4724, 44510, 10721, 9154, 43242, 28239, 47432, 3660, 29538], "avg_logprob": -0.2651154982007068, "compression_ratio": 1.675, "no_speech_prob": 0.0, "words": [{"start": 1539.66, "end": 1540.14, "word": "يبقى", "probability": 0.6729736328125}, {"start": 1540.14, "end": 1540.4, "word": " هذا", "probability": 0.86328125}, {"start": 1540.4, "end": 1540.54, "word": " ال", "probability": 0.958984375}, {"start": 1540.54, "end": 1541.04, "word": " ellipse", "probability": 0.54638671875}, {"start": 1541.04, "end": 1541.58, "word": " هاللي", "probability": 0.5093587239583334}, {"start": 1541.58, "end": 1542.0, "word": " عندنا", "probability": 0.924072265625}, {"start": 1542.0, "end": 1542.84, "word": " طيب", "probability": 0.8465169270833334}, {"start": 1542.84, "end": 1543.6, "word": " رسمنا", "probability": 0.9163411458333334}, {"start": 1543.6, "end": 1544.14, "word": " رسم", "probability": 0.966064453125}, {"start": 1544.14, "end": 1545.1, "word": " أولي", "probability": 0.7361653645833334}, {"start": 1545.1, "end": 1545.6, "word": " لل", "probability": 0.92333984375}, {"start": 1545.6, "end": 1546.08, "word": " ellipse", "probability": 0.933349609375}, {"start": 1546.08, "end": 1546.76, "word": " نجي", "probability": 0.7540690104166666}, {"start": 1546.76, "end": 1547.1, "word": " نشوف", "probability": 0.9850260416666666}, {"start": 1547.1, "end": 1547.48, "word": " باقى", "probability": 0.875732421875}, {"start": 1547.48, "end": 1548.48, "word": " المعلومات", "probability": 0.9871826171875}, {"start": 1548.48, "end": 1549.38, "word": " لما", "probability": 0.91162109375}, {"start": 1549.38, "end": 1549.94, "word": " يقوللي", "probability": 0.6294759114583334}, {"start": 1549.94, "end": 1550.46, "word": " هذه", "probability": 0.75927734375}, {"start": 1550.46, "end": 1551.92, "word": " البقرتين", "probability": 0.811279296875}, {"start": 1551.92, "end": 1552.84, "word": " بدت", "probability": 0.4539794921875}, {"start": 1552.84, "end": 1553.36, "word": " أطلع", "probability": 0.853271484375}, {"start": 1553.36, "end": 1553.62, "word": " C", "probability": 0.5576171875}, {"start": 1553.62, "end": 1553.84, "word": " ولا", "probability": 0.9208984375}, {"start": 1553.84, "end": 1554.44, "word": " لأ", "probability": 0.70166015625}, {"start": 1554.44, "end": 1556.1, "word": " قاللي", "probability": 0.7958984375}, {"start": 1556.1, "end": 1556.72, "word": " ال", "probability": 0.8056640625}, {"start": 1556.72, "end": 1557.18, "word": " major", "probability": 0.92431640625}, {"start": 1557.18, "end": 1558.36, "word": " axis", "probability": 0.9677734375}, {"start": 1558.36, "end": 1559.3, "word": " طوله", "probability": 0.91357421875}, {"start": 1559.3, "end": 1559.62, "word": " يستوي", "probability": 0.7843424479166666}, {"start": 1559.62, "end": 1560.34, "word": " كده؟", "probability": 0.619903564453125}, {"start": 1560.34, "end": 1560.96, "word": " ستة", "probability": 0.814697265625}, {"start": 1560.96, "end": 1561.62, "word": " ال", "probability": 0.9150390625}, {"start": 1561.62, "end": 1562.08, "word": " major", "probability": 0.95751953125}, {"start": 1562.08, "end": 1562.72, "word": " axis", "probability": 0.97265625}, {"start": 1562.72, "end": 1563.88, "word": " ببدأ", "probability": 0.8929036458333334}, {"start": 1563.88, "end": 1564.22, "word": " من", "probability": 0.98681640625}, {"start": 1564.22, "end": 1564.64, "word": " عند", "probability": 0.994140625}, {"start": 1564.64, "end": 1565.44, "word": " النقطة", "probability": 0.9568684895833334}, {"start": 1565.44, "end": 1565.98, "word": " هذه", "probability": 0.90380859375}], "temperature": 1.0}, {"id": 68, "seek": 159150, "start": 1566.4, "end": 1591.5, "text": "لغاية النقطة هذه يبقى المسافة دي ليه كداش؟ اتنين اه ممتاز يبقى باجي بقوله solution عندنا اتنين ايه يساوي ستة اذا ايه تساوي كداش؟ تلاتة كويس هذه معلومة كويس بدي اطلع ال C فبحدا فيكم يقدر يقولي كداش بالله اتنين C", "tokens": [1211, 17082, 995, 10632, 28239, 47432, 3660, 29538, 7251, 3555, 4587, 7578, 9673, 3794, 31845, 3660, 11778, 1829, 32239, 3224, 9122, 3215, 33599, 22807, 1975, 2655, 1863, 9957, 1975, 3224, 3714, 2304, 2655, 31377, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 3827, 43242, 8315, 1975, 2655, 1863, 9957, 1975, 1829, 3224, 7251, 3794, 995, 45865, 8608, 2655, 3660, 1975, 15730, 1975, 1829, 3224, 6055, 3794, 995, 45865, 9122, 3215, 33599, 22807, 6055, 1211, 9307, 3660, 9122, 45865, 3794, 29538, 20449, 1211, 20498, 3660, 9122, 45865, 3794, 4724, 16254, 1975, 9566, 1211, 3615, 2423, 383, 6156, 49628, 28259, 8978, 24793, 7251, 28543, 2288, 7251, 39648, 1829, 9122, 3215, 33599, 20666, 43761, 1975, 2655, 1863, 9957, 383], "avg_logprob": -0.23765755576245925, "compression_ratio": 1.8407960199004976, "no_speech_prob": 0.0, "words": [{"start": 1566.4, "end": 1567.12, "word": "لغاية", "probability": 0.74603271484375}, {"start": 1567.12, "end": 1567.86, "word": " النقطة", "probability": 0.9599609375}, {"start": 1567.86, "end": 1568.28, "word": " هذه", "probability": 0.767578125}, {"start": 1568.28, "end": 1569.0, "word": " يبقى", "probability": 0.904541015625}, {"start": 1569.0, "end": 1569.48, "word": " المسافة", "probability": 0.852294921875}, {"start": 1569.48, "end": 1569.58, "word": " دي", "probability": 0.77880859375}, {"start": 1569.58, "end": 1569.72, "word": " ليه", "probability": 0.6275634765625}, {"start": 1569.72, "end": 1570.42, "word": " كداش؟", "probability": 0.58935546875}, {"start": 1570.42, "end": 1571.18, "word": " اتنين", "probability": 0.7900390625}, {"start": 1571.18, "end": 1571.62, "word": " اه", "probability": 0.65234375}, {"start": 1571.62, "end": 1572.44, "word": " ممتاز", "probability": 0.810546875}, {"start": 1572.44, "end": 1573.18, "word": " يبقى", "probability": 0.9150390625}, {"start": 1573.18, "end": 1573.52, "word": " باجي", "probability": 0.5575358072916666}, {"start": 1573.52, "end": 1574.06, "word": " بقوله", "probability": 0.8045247395833334}, {"start": 1574.06, "end": 1575.18, "word": " solution", "probability": 0.931640625}, {"start": 1575.18, "end": 1576.8, "word": " عندنا", "probability": 0.946044921875}, {"start": 1576.8, "end": 1577.5, "word": " اتنين", "probability": 0.9794921875}, {"start": 1577.5, "end": 1577.94, "word": " ايه", "probability": 0.8048502604166666}, {"start": 1577.94, "end": 1578.54, "word": " يساوي", "probability": 0.79974365234375}, {"start": 1578.54, "end": 1579.18, "word": " ستة", "probability": 0.96435546875}, {"start": 1579.18, "end": 1579.62, "word": " اذا", "probability": 0.769287109375}, {"start": 1579.62, "end": 1580.18, "word": " ايه", "probability": 0.94482421875}, {"start": 1580.18, "end": 1580.68, "word": " تساوي", "probability": 0.943603515625}, {"start": 1580.68, "end": 1581.64, "word": " كداش؟", "probability": 0.857177734375}, {"start": 1581.64, "end": 1582.86, "word": " تلاتة", "probability": 0.9278564453125}, {"start": 1582.86, "end": 1583.62, "word": " كويس", "probability": 0.807373046875}, {"start": 1583.62, "end": 1583.84, "word": " هذه", "probability": 0.5810546875}, {"start": 1583.84, "end": 1584.38, "word": " معلومة", "probability": 0.87255859375}, {"start": 1584.38, "end": 1584.84, "word": " كويس", "probability": 0.9951171875}, {"start": 1584.84, "end": 1585.46, "word": " بدي", "probability": 0.72021484375}, {"start": 1585.46, "end": 1586.32, "word": " اطلع", "probability": 0.8546142578125}, {"start": 1586.32, "end": 1586.58, "word": " ال", "probability": 0.7119140625}, {"start": 1586.58, "end": 1586.94, "word": " C", "probability": 0.501953125}, {"start": 1586.94, "end": 1587.98, "word": " فبحدا", "probability": 0.4981282552083333}, {"start": 1587.98, "end": 1588.36, "word": " فيكم", "probability": 0.9130859375}, {"start": 1588.36, "end": 1588.76, "word": " يقدر", "probability": 0.8175455729166666}, {"start": 1588.76, "end": 1589.22, "word": " يقولي", "probability": 0.734375}, {"start": 1589.22, "end": 1589.84, "word": " كداش", "probability": 0.9886067708333334}, {"start": 1589.84, "end": 1590.42, "word": " بالله", "probability": 0.6712646484375}, {"start": 1590.42, "end": 1591.08, "word": " اتنين", "probability": 0.980224609375}, {"start": 1591.08, "end": 1591.5, "word": " C", "probability": 0.93212890625}], "temperature": 1.0}, {"id": 69, "seek": 161319, "start": 1593.19, "end": 1613.19, "text": "أربعة يعني المسافة من النقطة هذه و هذه، هذه تلاتة و هذه واحد يبقى أربعة يبقى اتنين C يساوي واحد زائد تلاتة يساوي أربعة يبقى C تساوي قداش اتنين إذا A موجودة و C موجودة بقدر وجد من؟", "tokens": [10721, 25513, 27884, 37495, 22653, 9673, 3794, 31845, 3660, 9154, 28239, 47432, 3660, 29538, 4032, 29538, 12399, 29538, 6055, 1211, 9307, 3660, 4032, 29538, 36764, 24401, 7251, 3555, 4587, 7578, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 383, 7251, 3794, 995, 45865, 36764, 24401, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 7251, 3794, 995, 45865, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 383, 6055, 3794, 995, 45865, 12174, 3215, 33599, 1975, 2655, 1863, 9957, 11933, 15730, 316, 3714, 29245, 23328, 3660, 4032, 383, 3714, 29245, 23328, 3660, 4724, 28543, 2288, 49610, 3215, 9154, 22807], "avg_logprob": -0.23232323954803774, "compression_ratio": 1.98125, "no_speech_prob": 0.0, "words": [{"start": 1593.19, "end": 1594.25, "word": "أربعة", "probability": 0.5994873046875}, {"start": 1594.25, "end": 1594.39, "word": " يعني", "probability": 0.558349609375}, {"start": 1594.39, "end": 1595.07, "word": " المسافة", "probability": 0.872314453125}, {"start": 1595.07, "end": 1595.21, "word": " من", "probability": 0.63720703125}, {"start": 1595.21, "end": 1595.67, "word": " النقطة", "probability": 0.89453125}, {"start": 1595.67, "end": 1595.87, "word": " هذه", "probability": 0.2109375}, {"start": 1595.87, "end": 1595.95, "word": " و", "probability": 0.404541015625}, {"start": 1595.95, "end": 1596.23, "word": " هذه،", "probability": 0.601318359375}, {"start": 1596.23, "end": 1596.65, "word": " هذه", "probability": 0.69384765625}, {"start": 1596.65, "end": 1597.71, "word": " تلاتة", "probability": 0.9473876953125}, {"start": 1597.71, "end": 1598.17, "word": " و", "probability": 0.55126953125}, {"start": 1598.17, "end": 1598.51, "word": " هذه", "probability": 0.88427734375}, {"start": 1598.51, "end": 1599.09, "word": " واحد", "probability": 0.976806640625}, {"start": 1599.09, "end": 1599.61, "word": " يبقى", "probability": 0.88427734375}, {"start": 1599.61, "end": 1600.15, "word": " أربعة", "probability": 0.7911783854166666}, {"start": 1600.15, "end": 1601.07, "word": " يبقى", "probability": 0.86651611328125}, {"start": 1601.07, "end": 1601.63, "word": " اتنين", "probability": 0.9207763671875}, {"start": 1601.63, "end": 1602.01, "word": " C", "probability": 0.368896484375}, {"start": 1602.01, "end": 1602.77, "word": " يساوي", "probability": 0.8388671875}, {"start": 1602.77, "end": 1603.45, "word": " واحد", "probability": 0.969970703125}, {"start": 1603.45, "end": 1604.01, "word": " زائد", "probability": 0.9187825520833334}, {"start": 1604.01, "end": 1604.57, "word": " تلاتة", "probability": 0.9674072265625}, {"start": 1604.57, "end": 1605.09, "word": " يساوي", "probability": 0.9796142578125}, {"start": 1605.09, "end": 1605.77, "word": " أربعة", "probability": 0.8693033854166666}, {"start": 1605.77, "end": 1606.79, "word": " يبقى", "probability": 0.962158203125}, {"start": 1606.79, "end": 1607.13, "word": " C", "probability": 0.908203125}, {"start": 1607.13, "end": 1607.87, "word": " تساوي", "probability": 0.9801025390625}, {"start": 1607.87, "end": 1608.61, "word": " قداش", "probability": 0.80810546875}, {"start": 1608.61, "end": 1609.47, "word": " اتنين", "probability": 0.92333984375}, {"start": 1609.47, "end": 1610.15, "word": " إذا", "probability": 0.66162109375}, {"start": 1610.15, "end": 1610.43, "word": " A", "probability": 0.71728515625}, {"start": 1610.43, "end": 1611.03, "word": " موجودة", "probability": 0.98583984375}, {"start": 1611.03, "end": 1611.13, "word": " و", "probability": 0.83203125}, {"start": 1611.13, "end": 1611.33, "word": " C", "probability": 0.76318359375}, {"start": 1611.33, "end": 1611.85, "word": " موجودة", "probability": 0.9937744140625}, {"start": 1611.85, "end": 1612.29, "word": " بقدر", "probability": 0.6026204427083334}, {"start": 1612.29, "end": 1612.65, "word": " وجد", "probability": 0.668212890625}, {"start": 1612.65, "end": 1613.19, "word": " من؟", "probability": 0.78564453125}], "temperature": 1.0}, {"id": 70, "seek": 163641, "start": 1613.55, "end": 1636.41, "text": "ب يبقى بيبقى تساوي الجذر التربيع الى a تربيع ماقص c تربيع ال a تربيع بتسعة وc تربيع باربع يبقى square root له خمسة يبقى عرفنا a وb اضايل علينا ال center بدي اعرف قداش ال center تبعه هذا", "tokens": [3555, 7251, 3555, 4587, 7578, 4724, 1829, 3555, 4587, 7578, 6055, 3794, 995, 45865, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 2423, 7578, 257, 6055, 2288, 21292, 3615, 3714, 995, 4587, 9381, 269, 6055, 2288, 21292, 3615, 2423, 257, 6055, 2288, 21292, 3615, 39894, 3794, 27884, 4032, 66, 6055, 2288, 21292, 3615, 4724, 9640, 3555, 3615, 7251, 3555, 4587, 7578, 3732, 5593, 46740, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 6225, 28480, 8315, 257, 4032, 65, 1975, 11242, 995, 26895, 25894, 8315, 2423, 3056, 4724, 16254, 1975, 3615, 28480, 12174, 3215, 33599, 2423, 3056, 6055, 3555, 3615, 3224, 23758], "avg_logprob": -0.3163675860603257, "compression_ratio": 1.8203592814371257, "no_speech_prob": 0.0, "words": [{"start": 1613.55, "end": 1614.07, "word": "ب", "probability": 0.673828125}, {"start": 1614.07, "end": 1615.27, "word": " يبقى", "probability": 0.777191162109375}, {"start": 1615.27, "end": 1616.17, "word": " بيبقى", "probability": 0.55999755859375}, {"start": 1616.17, "end": 1616.71, "word": " تساوي", "probability": 0.66265869140625}, {"start": 1616.71, "end": 1617.21, "word": " الجذر", "probability": 0.6217447916666666}, {"start": 1617.21, "end": 1617.79, "word": " التربيع", "probability": 0.805908203125}, {"start": 1617.79, "end": 1618.05, "word": " الى", "probability": 0.3282470703125}, {"start": 1618.05, "end": 1618.25, "word": " a", "probability": 0.466064453125}, {"start": 1618.25, "end": 1618.83, "word": " تربيع", "probability": 0.8643798828125}, {"start": 1618.83, "end": 1619.43, "word": " ماقص", "probability": 0.644287109375}, {"start": 1619.43, "end": 1619.75, "word": " c", "probability": 0.86572265625}, {"start": 1619.75, "end": 1620.61, "word": " تربيع", "probability": 0.96875}, {"start": 1620.61, "end": 1621.23, "word": " ال", "probability": 0.91015625}, {"start": 1621.23, "end": 1621.53, "word": " a", "probability": 0.77197265625}, {"start": 1621.53, "end": 1622.13, "word": " تربيع", "probability": 0.9512939453125}, {"start": 1622.13, "end": 1622.85, "word": " بتسعة", "probability": 0.7355143229166666}, {"start": 1622.85, "end": 1623.21, "word": " وc", "probability": 0.6002197265625}, {"start": 1623.21, "end": 1623.77, "word": " تربيع", "probability": 0.9705810546875}, {"start": 1623.77, "end": 1624.41, "word": " باربع", "probability": 0.8033447265625}, {"start": 1624.41, "end": 1624.71, "word": " يبقى", "probability": 0.929443359375}, {"start": 1624.71, "end": 1625.21, "word": " square", "probability": 0.42529296875}, {"start": 1625.21, "end": 1626.31, "word": " root", "probability": 0.876953125}, {"start": 1626.31, "end": 1627.05, "word": " له", "probability": 0.3349609375}, {"start": 1627.05, "end": 1627.75, "word": " خمسة", "probability": 0.8641357421875}, {"start": 1627.75, "end": 1628.51, "word": " يبقى", "probability": 0.9554443359375}, {"start": 1628.51, "end": 1629.05, "word": " عرفنا", "probability": 0.8479817708333334}, {"start": 1629.05, "end": 1629.31, "word": " a", "probability": 0.77099609375}, {"start": 1629.31, "end": 1629.89, "word": " وb", "probability": 0.818359375}, {"start": 1629.89, "end": 1631.19, "word": " اضايل", "probability": 0.413238525390625}, {"start": 1631.19, "end": 1631.61, "word": " علينا", "probability": 0.960693359375}, {"start": 1631.61, "end": 1631.83, "word": " ال", "probability": 0.9140625}, {"start": 1631.83, "end": 1632.35, "word": " center", "probability": 0.75830078125}, {"start": 1632.35, "end": 1632.85, "word": " بدي", "probability": 0.672119140625}, {"start": 1632.85, "end": 1633.21, "word": " اعرف", "probability": 0.9777018229166666}, {"start": 1633.21, "end": 1633.81, "word": " قداش", "probability": 0.8076171875}, {"start": 1633.81, "end": 1634.05, "word": " ال", "probability": 0.916015625}, {"start": 1634.05, "end": 1634.95, "word": " center", "probability": 0.84912109375}, {"start": 1634.95, "end": 1636.09, "word": " تبعه", "probability": 0.80340576171875}, {"start": 1636.09, "end": 1636.41, "word": " هذا", "probability": 0.92138671875}], "temperature": 1.0}, {"id": 71, "seek": 165367, "start": 1637.13, "end": 1653.67, "text": "اذا عرفت ال center بكون انت هنا فضعله فوق المعروف اللي هو جداش، اتنين، بظلي الراسي، كيه بدي اعرف الراسي؟ ماشي عن نص و نقسم على اتنين، المسافة ما بينهم جداش", "tokens": [45636, 995, 6225, 28480, 2655, 2423, 3056, 4724, 30544, 16472, 2655, 34105, 6156, 11242, 30241, 3224, 6156, 30543, 9673, 3615, 32887, 5172, 13672, 1829, 31439, 10874, 3215, 33599, 12399, 1975, 2655, 1863, 9957, 12399, 4724, 19913, 20292, 34892, 32277, 1829, 12399, 9122, 1829, 3224, 47525, 1829, 1975, 3615, 28480, 34892, 32277, 1829, 22807, 3714, 33599, 1829, 18871, 8717, 9381, 4032, 8717, 4587, 38251, 15844, 1975, 2655, 1863, 9957, 12399, 9673, 3794, 31845, 3660, 19446, 49374, 16095, 10874, 3215, 33599], "avg_logprob": -0.2789062399417162, "compression_ratio": 1.6407185628742516, "no_speech_prob": 0.0, "words": [{"start": 1637.13, "end": 1637.51, "word": "اذا", "probability": 0.5233154296875}, {"start": 1637.51, "end": 1637.93, "word": " عرفت", "probability": 0.9772135416666666}, {"start": 1637.93, "end": 1638.05, "word": " ال", "probability": 0.9072265625}, {"start": 1638.05, "end": 1638.39, "word": " center", "probability": 0.595703125}, {"start": 1638.39, "end": 1638.89, "word": " بكون", "probability": 0.5911865234375}, {"start": 1638.89, "end": 1639.21, "word": " انت", "probability": 0.80078125}, {"start": 1639.21, "end": 1639.55, "word": " هنا", "probability": 0.9931640625}, {"start": 1639.55, "end": 1640.29, "word": " فضعله", "probability": 0.58514404296875}, {"start": 1640.29, "end": 1640.53, "word": " فوق", "probability": 0.813232421875}, {"start": 1640.53, "end": 1641.09, "word": " المعروف", "probability": 0.9810791015625}, {"start": 1641.09, "end": 1641.21, "word": " اللي", "probability": 0.95947265625}, {"start": 1641.21, "end": 1641.35, "word": " هو", "probability": 0.95751953125}, {"start": 1641.35, "end": 1642.29, "word": " جداش،", "probability": 0.589141845703125}, {"start": 1642.29, "end": 1643.15, "word": " اتنين،", "probability": 0.820703125}, {"start": 1643.15, "end": 1643.79, "word": " بظلي", "probability": 0.5206705729166666}, {"start": 1643.79, "end": 1644.87, "word": " الراسي،", "probability": 0.66326904296875}, {"start": 1644.87, "end": 1645.31, "word": " كيه", "probability": 0.763427734375}, {"start": 1645.31, "end": 1645.61, "word": " بدي", "probability": 0.5087890625}, {"start": 1645.61, "end": 1645.87, "word": " اعرف", "probability": 0.8098958333333334}, {"start": 1645.87, "end": 1649.09, "word": " الراسي؟", "probability": 0.9542236328125}, {"start": 1649.09, "end": 1649.75, "word": " ماشي", "probability": 0.745361328125}, {"start": 1649.75, "end": 1649.91, "word": " عن", "probability": 0.280517578125}, {"start": 1649.91, "end": 1650.55, "word": " نص", "probability": 0.926025390625}, {"start": 1650.55, "end": 1650.71, "word": " و", "probability": 0.962890625}, {"start": 1650.71, "end": 1651.13, "word": " نقسم", "probability": 0.8468424479166666}, {"start": 1651.13, "end": 1651.39, "word": " على", "probability": 0.86474609375}, {"start": 1651.39, "end": 1651.81, "word": " اتنين،", "probability": 0.9634765625}, {"start": 1651.81, "end": 1652.39, "word": " المسافة", "probability": 0.97314453125}, {"start": 1652.39, "end": 1652.53, "word": " ما", "probability": 0.85595703125}, {"start": 1652.53, "end": 1652.89, "word": " بينهم", "probability": 0.98779296875}, {"start": 1652.89, "end": 1653.67, "word": " جداش", "probability": 0.9679361979166666}], "temperature": 1.0}, {"id": 72, "seek": 168395, "start": 1654.41, "end": 1683.95, "text": "اربعة تمام؟ اتنين C يساوي اربعة يبقى C يساوي اتنين يعني المسافة هذه من هنا لهنا كلها بجداش طيب هذه من هنا لهنا بواحد فضل هذه هنا هنا جداش إذا الإحداث اتنين و سالب واحد باجي بقوله هنا لأسفر ال H و K بده يساوي", "tokens": [9640, 3555, 27884, 46811, 10943, 22807, 1975, 2655, 1863, 9957, 383, 7251, 3794, 995, 45865, 1975, 25513, 27884, 7251, 3555, 4587, 7578, 383, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 37495, 22653, 9673, 3794, 31845, 3660, 29538, 9154, 34105, 5296, 3224, 8315, 28242, 11296, 4724, 7435, 3215, 33599, 23032, 1829, 3555, 29538, 9154, 34105, 5296, 3224, 8315, 4724, 14407, 24401, 6156, 11242, 1211, 29538, 34105, 34105, 10874, 3215, 33599, 11933, 15730, 33688, 24401, 5718, 104, 1975, 2655, 1863, 9957, 4032, 8608, 6027, 3555, 36764, 24401, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 5296, 10721, 3794, 5172, 2288, 2423, 389, 4032, 591, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.3595183354998947, "compression_ratio": 2.022099447513812, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1654.41, "end": 1655.15, "word": "اربعة", "probability": 0.6531575520833334}, {"start": 1655.15, "end": 1656.03, "word": " تمام؟", "probability": 0.68798828125}, {"start": 1656.03, "end": 1656.45, "word": " اتنين", "probability": 0.8892822265625}, {"start": 1656.45, "end": 1656.77, "word": " C", "probability": 0.1348876953125}, {"start": 1656.77, "end": 1657.53, "word": " يساوي", "probability": 0.7757568359375}, {"start": 1657.53, "end": 1657.87, "word": " اربعة", "probability": 0.88916015625}, {"start": 1657.87, "end": 1658.23, "word": " يبقى", "probability": 0.8060302734375}, {"start": 1658.23, "end": 1658.63, "word": " C", "probability": 0.447265625}, {"start": 1658.63, "end": 1659.23, "word": " يساوي", "probability": 0.978271484375}, {"start": 1659.23, "end": 1659.69, "word": " اتنين", "probability": 0.98828125}, {"start": 1659.69, "end": 1660.43, "word": " يعني", "probability": 0.809814453125}, {"start": 1660.43, "end": 1661.47, "word": " المسافة", "probability": 0.9808349609375}, {"start": 1661.47, "end": 1661.87, "word": " هذه", "probability": 0.48779296875}, {"start": 1661.87, "end": 1662.25, "word": " من", "probability": 0.97998046875}, {"start": 1662.25, "end": 1662.75, "word": " هنا", "probability": 0.99658203125}, {"start": 1662.75, "end": 1663.27, "word": " لهنا", "probability": 0.6409505208333334}, {"start": 1663.27, "end": 1663.71, "word": " كلها", "probability": 0.98046875}, {"start": 1663.71, "end": 1664.49, "word": " بجداش", "probability": 0.63067626953125}, {"start": 1664.49, "end": 1665.45, "word": " طيب", "probability": 0.8819986979166666}, {"start": 1665.45, "end": 1665.89, "word": " هذه", "probability": 0.8037109375}, {"start": 1665.89, "end": 1666.15, "word": " من", "probability": 0.986328125}, {"start": 1666.15, "end": 1666.53, "word": " هنا", "probability": 0.9970703125}, {"start": 1666.53, "end": 1667.01, "word": " لهنا", "probability": 0.9300130208333334}, {"start": 1667.01, "end": 1667.61, "word": " بواحد", "probability": 0.9796549479166666}, {"start": 1667.61, "end": 1668.07, "word": " فضل", "probability": 0.379638671875}, {"start": 1668.07, "end": 1668.39, "word": " هذه", "probability": 0.90625}, {"start": 1668.39, "end": 1668.63, "word": " هنا", "probability": 0.869140625}, {"start": 1668.63, "end": 1668.87, "word": " هنا", "probability": 0.77880859375}, {"start": 1668.87, "end": 1669.51, "word": " جداش", "probability": 0.9417317708333334}, {"start": 1669.51, "end": 1670.25, "word": " إذا", "probability": 0.655517578125}, {"start": 1670.25, "end": 1670.89, "word": " الإحداث", "probability": 0.7152099609375}, {"start": 1670.89, "end": 1672.19, "word": " اتنين", "probability": 0.761993408203125}, {"start": 1672.19, "end": 1672.65, "word": " و", "probability": 0.50341796875}, {"start": 1672.65, "end": 1673.23, "word": " سالب", "probability": 0.6328938802083334}, {"start": 1673.23, "end": 1674.17, "word": " واحد", "probability": 0.989990234375}, {"start": 1674.17, "end": 1674.71, "word": " باجي", "probability": 0.67724609375}, {"start": 1674.71, "end": 1675.33, "word": " بقوله", "probability": 0.8531901041666666}, {"start": 1675.33, "end": 1675.79, "word": " هنا", "probability": 0.96923828125}, {"start": 1675.79, "end": 1678.11, "word": " لأسفر", "probability": 0.3421142578125}, {"start": 1678.11, "end": 1679.43, "word": " ال", "probability": 0.6025390625}, {"start": 1679.43, "end": 1681.11, "word": " H", "probability": 0.82666015625}, {"start": 1681.11, "end": 1682.03, "word": " و", "probability": 0.89599609375}, {"start": 1682.03, "end": 1682.57, "word": " K", "probability": 0.59521484375}, {"start": 1682.57, "end": 1683.23, "word": " بده", "probability": 0.26885986328125}, {"start": 1683.23, "end": 1683.95, "word": " يساوي", "probability": 0.882568359375}], "temperature": 1.0}, {"id": 73, "seek": 170847, "start": 1686.57, "end": 1708.47, "text": "هو ثاني بواحد، إذا قد رسول الله صلى الله عليه و سلم قال الواحد هو مُعادَل، لأنه كان يحت المُعادَل، فأنا روحت قدر الـ Creation الـ Creation، طبعا الـ Manifestation و الـ Manifestation هو الواحد، و الـ Manifestation هو الواحد، ثاني بواحد، كل ثاني بيعة، تمام؟", "tokens": [3224, 2407, 38637, 7649, 1829, 4724, 14407, 24401, 12399, 11933, 15730, 12174, 3215, 12602, 3794, 12610, 21984, 20328, 23942, 21984, 47356, 4032, 8608, 19528, 50239, 2423, 14407, 24401, 31439, 3714, 10859, 3615, 18513, 6808, 1211, 12399, 5296, 33456, 3224, 25961, 7251, 33753, 9673, 10859, 3615, 18513, 6808, 1211, 12399, 6156, 10721, 8315, 12602, 2407, 33753, 12174, 3215, 2288, 2423, 39184, 42874, 2423, 39184, 42874, 12399, 23032, 3555, 3615, 995, 2423, 39184, 2458, 351, 377, 399, 4032, 2423, 39184, 2458, 351, 377, 399, 31439, 2423, 14407, 24401, 12399, 4032, 2423, 39184, 2458, 351, 377, 399, 31439, 2423, 14407, 24401, 12399, 38637, 7649, 1829, 4724, 14407, 24401, 12399, 28242, 38637, 7649, 1829, 4724, 1829, 27884, 12399, 46811, 10943, 22807], "avg_logprob": -0.5309851987887237, "compression_ratio": 2.06, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1686.57, "end": 1686.87, "word": "هو", "probability": 0.628662109375}, {"start": 1686.87, "end": 1687.33, "word": " ثاني", "probability": 0.6612955729166666}, {"start": 1687.33, "end": 1688.01, "word": " بواحد،", "probability": 0.8233642578125}, {"start": 1688.01, "end": 1688.47, "word": " إذا", "probability": 0.7269287109375}, {"start": 1688.47, "end": 1688.81, "word": " قد", "probability": 0.47637939453125}, {"start": 1688.81, "end": 1689.19, "word": " رسول", "probability": 0.5716145833333334}, {"start": 1689.19, "end": 1689.29, "word": " الله", "probability": 0.8427734375}, {"start": 1689.29, "end": 1689.37, "word": " صلى", "probability": 0.7369384765625}, {"start": 1689.37, "end": 1689.37, "word": " الله", "probability": 0.96923828125}, {"start": 1689.37, "end": 1689.37, "word": " عليه", "probability": 0.90283203125}, {"start": 1689.37, "end": 1689.37, "word": " و", "probability": 0.587890625}, {"start": 1689.37, "end": 1689.37, "word": " سلم", "probability": 0.6278076171875}, {"start": 1689.37, "end": 1690.05, "word": " قال", "probability": 0.638671875}, {"start": 1690.05, "end": 1690.99, "word": " الواحد", "probability": 0.3765462239583333}, {"start": 1690.99, "end": 1691.41, "word": " هو", "probability": 0.68310546875}, {"start": 1691.41, "end": 1692.11, "word": " مُعادَل،", "probability": 0.43931361607142855}, {"start": 1692.11, "end": 1692.29, "word": " لأنه", "probability": 0.596923828125}, {"start": 1692.29, "end": 1692.47, "word": " كان", "probability": 0.70947265625}, {"start": 1692.47, "end": 1692.73, "word": " يحت", "probability": 0.35986328125}, {"start": 1692.73, "end": 1693.83, "word": " المُعادَل،", "probability": 0.8340541294642857}, {"start": 1693.83, "end": 1694.25, "word": " فأنا", "probability": 0.5313517252604166}, {"start": 1694.25, "end": 1694.61, "word": " روحت", "probability": 0.7830403645833334}, {"start": 1694.61, "end": 1695.19, "word": " قدر", "probability": 0.6409505208333334}, {"start": 1695.19, "end": 1695.59, "word": " الـ", "probability": 0.3128662109375}, {"start": 1695.59, "end": 1696.33, "word": " Creation", "probability": 0.414794921875}, {"start": 1696.33, "end": 1697.77, "word": " الـ", "probability": 0.444671630859375}, {"start": 1697.77, "end": 1698.51, "word": " Creation،", "probability": 0.36444091796875}, {"start": 1698.51, "end": 1698.93, "word": " طبعا", "probability": 0.83038330078125}, {"start": 1698.93, "end": 1699.23, "word": " الـ", "probability": 0.74462890625}, {"start": 1699.23, "end": 1699.99, "word": " Manifestation", "probability": 0.44708251953125}, {"start": 1699.99, "end": 1700.09, "word": " و", "probability": 0.1275634765625}, {"start": 1700.09, "end": 1700.35, "word": " الـ", "probability": 0.4764404296875}, {"start": 1700.35, "end": 1700.59, "word": " Manifestation", "probability": 0.85528564453125}, {"start": 1700.59, "end": 1700.65, "word": " هو", "probability": 0.45654296875}, {"start": 1700.65, "end": 1701.45, "word": " الواحد،", "probability": 0.8782958984375}, {"start": 1701.45, "end": 1701.75, "word": " و", "probability": 0.269775390625}, {"start": 1701.75, "end": 1701.77, "word": " الـ", "probability": 0.3394775390625}, {"start": 1701.77, "end": 1702.33, "word": " Manifestation", "probability": 0.94775390625}, {"start": 1702.33, "end": 1702.73, "word": " هو", "probability": 0.814453125}, {"start": 1702.73, "end": 1704.01, "word": " الواحد،", "probability": 0.89208984375}, {"start": 1704.01, "end": 1704.53, "word": " ثاني", "probability": 0.8162434895833334}, {"start": 1704.53, "end": 1705.67, "word": " بواحد،", "probability": 0.9708251953125}, {"start": 1705.67, "end": 1706.33, "word": " كل", "probability": 0.255615234375}, {"start": 1706.33, "end": 1707.23, "word": " ثاني", "probability": 0.5323079427083334}, {"start": 1707.23, "end": 1707.89, "word": " بيعة،", "probability": 0.6888427734375}, {"start": 1707.89, "end": 1708.47, "word": " تمام؟", "probability": 0.9283854166666666}], "temperature": 1.0}, {"id": 74, "seek": 173876, "start": 1716.14, "end": 1738.76, "text": "نقص اتنين الكل تربيع على P تربيع خمسة كله بده يستوي واحد يبقى هاد مام هاد المعادلة I مطلوبة جالي هاد ال equation جيبناها له وبعدي جالي هاد لل center يبقى جيبناها لل center وبعدي جالي هاد لل vertices", "tokens": [1863, 4587, 9381, 1975, 2655, 1863, 9957, 2423, 28820, 6055, 2288, 21292, 3615, 15844, 430, 6055, 2288, 21292, 3615, 16490, 2304, 3794, 3660, 28242, 3224, 47525, 3224, 7251, 14851, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 8032, 18513, 3714, 10943, 8032, 18513, 9673, 3615, 18513, 37977, 286, 3714, 9566, 1211, 37746, 3660, 10874, 6027, 1829, 8032, 18513, 2423, 5367, 10874, 1829, 3555, 8315, 11296, 46740, 46599, 22488, 1829, 10874, 6027, 1829, 8032, 18513, 24976, 3056, 7251, 3555, 4587, 7578, 10874, 1829, 3555, 8315, 11296, 24976, 3056, 46599, 22488, 1829, 10874, 6027, 1829, 8032, 18513, 24976, 32053], "avg_logprob": -0.3079896808899555, "compression_ratio": 1.8636363636363635, "no_speech_prob": 0.0, "words": [{"start": 1716.14, "end": 1717.06, "word": "نقص", "probability": 0.6674397786458334}, {"start": 1717.06, "end": 1717.72, "word": " اتنين", "probability": 0.788238525390625}, {"start": 1717.72, "end": 1718.56, "word": " الكل", "probability": 0.637451171875}, {"start": 1718.56, "end": 1719.1, "word": " تربيع", "probability": 0.871826171875}, {"start": 1719.1, "end": 1719.44, "word": " على", "probability": 0.75439453125}, {"start": 1719.44, "end": 1719.74, "word": " P", "probability": 0.375}, {"start": 1719.74, "end": 1720.46, "word": " تربيع", "probability": 0.94677734375}, {"start": 1720.46, "end": 1721.88, "word": " خمسة", "probability": 0.75421142578125}, {"start": 1721.88, "end": 1722.6, "word": " كله", "probability": 0.692138671875}, {"start": 1722.6, "end": 1722.96, "word": " بده", "probability": 0.37921142578125}, {"start": 1722.96, "end": 1723.34, "word": " يستوي", "probability": 0.7457682291666666}, {"start": 1723.34, "end": 1724.08, "word": " واحد", "probability": 0.986572265625}, {"start": 1724.08, "end": 1724.84, "word": " يبقى", "probability": 0.8685302734375}, {"start": 1724.84, "end": 1725.12, "word": " هاد", "probability": 0.4267578125}, {"start": 1725.12, "end": 1725.62, "word": " مام", "probability": 0.41455078125}, {"start": 1725.62, "end": 1726.42, "word": " هاد", "probability": 0.749267578125}, {"start": 1726.42, "end": 1727.28, "word": " المعادلة", "probability": 0.9769287109375}, {"start": 1727.28, "end": 1728.1, "word": " I", "probability": 0.48681640625}, {"start": 1728.1, "end": 1729.54, "word": " مطلوبة", "probability": 0.91884765625}, {"start": 1729.54, "end": 1730.0, "word": " جالي", "probability": 0.566162109375}, {"start": 1730.0, "end": 1730.26, "word": " هاد", "probability": 0.841064453125}, {"start": 1730.26, "end": 1730.4, "word": " ال", "probability": 0.9296875}, {"start": 1730.4, "end": 1730.88, "word": " equation", "probability": 0.97998046875}, {"start": 1730.88, "end": 1731.6, "word": " جيبناها", "probability": 0.715234375}, {"start": 1731.6, "end": 1731.8, "word": " له", "probability": 0.42919921875}, {"start": 1731.8, "end": 1732.66, "word": " وبعدي", "probability": 0.5691731770833334}, {"start": 1732.66, "end": 1732.94, "word": " جالي", "probability": 0.9737955729166666}, {"start": 1732.94, "end": 1733.2, "word": " هاد", "probability": 0.948486328125}, {"start": 1733.2, "end": 1733.44, "word": " لل", "probability": 0.433837890625}, {"start": 1733.44, "end": 1734.04, "word": " center", "probability": 0.6328125}, {"start": 1734.04, "end": 1734.86, "word": " يبقى", "probability": 0.9637451171875}, {"start": 1734.86, "end": 1735.4, "word": " جيبناها", "probability": 0.88115234375}, {"start": 1735.4, "end": 1735.58, "word": " لل", "probability": 0.74853515625}, {"start": 1735.58, "end": 1736.14, "word": " center", "probability": 0.86767578125}, {"start": 1736.14, "end": 1736.8, "word": " وبعدي", "probability": 0.8445638020833334}, {"start": 1736.8, "end": 1737.12, "word": " جالي", "probability": 0.9881184895833334}, {"start": 1737.12, "end": 1737.4, "word": " هاد", "probability": 0.96875}, {"start": 1737.4, "end": 1737.72, "word": " لل", "probability": 0.93212890625}, {"start": 1737.72, "end": 1738.76, "word": " vertices", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 75, "seek": 176052, "start": 1739.74, "end": 1760.52, "text": "بقوله بسيطة، the vertices are بنجي على ال center اللي هو الاتنين هل اتنين هذه صار فيها تغيير؟ لأ، يبقى التغيير في من؟ في المركبة التانية، يبقى سالب واحد", "tokens": [3555, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 12399, 264, 32053, 366, 44945, 7435, 1829, 15844, 2423, 3056, 13672, 1829, 31439, 2423, 9307, 1863, 9957, 8032, 1211, 1975, 2655, 1863, 9957, 29538, 20328, 9640, 8978, 11296, 6055, 17082, 1829, 13546, 22807, 5296, 10721, 12399, 7251, 3555, 4587, 7578, 16712, 17082, 1829, 13546, 8978, 9154, 22807, 8978, 9673, 31747, 49401, 16712, 7649, 10632, 12399, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 36764, 24401], "avg_logprob": -0.244863020230646, "compression_ratio": 1.532934131736527, "no_speech_prob": 0.0, "words": [{"start": 1739.74, "end": 1740.5, "word": "بقوله", "probability": 0.631591796875}, {"start": 1740.5, "end": 1741.74, "word": " بسيطة،", "probability": 0.8310546875}, {"start": 1741.74, "end": 1742.32, "word": " the", "probability": 0.422119140625}, {"start": 1742.32, "end": 1744.4, "word": " vertices", "probability": 0.96875}, {"start": 1744.4, "end": 1746.2, "word": " are", "probability": 0.373046875}, {"start": 1746.2, "end": 1747.54, "word": " بنجي", "probability": 0.5846354166666666}, {"start": 1747.54, "end": 1747.76, "word": " على", "probability": 0.9248046875}, {"start": 1747.76, "end": 1747.98, "word": " ال", "probability": 0.96337890625}, {"start": 1747.98, "end": 1748.36, "word": " center", "probability": 0.6416015625}, {"start": 1748.36, "end": 1748.68, "word": " اللي", "probability": 0.937255859375}, {"start": 1748.68, "end": 1748.94, "word": " هو", "probability": 0.9775390625}, {"start": 1748.94, "end": 1749.82, "word": " الاتنين", "probability": 0.8267822265625}, {"start": 1749.82, "end": 1750.64, "word": " هل", "probability": 0.5494384765625}, {"start": 1750.64, "end": 1751.54, "word": " اتنين", "probability": 0.859130859375}, {"start": 1751.54, "end": 1752.02, "word": " هذه", "probability": 0.38720703125}, {"start": 1752.02, "end": 1752.34, "word": " صار", "probability": 0.942626953125}, {"start": 1752.34, "end": 1752.68, "word": " فيها", "probability": 0.989990234375}, {"start": 1752.68, "end": 1753.74, "word": " تغيير؟", "probability": 0.8892578125}, {"start": 1753.74, "end": 1754.48, "word": " لأ،", "probability": 0.7255859375}, {"start": 1754.48, "end": 1754.78, "word": " يبقى", "probability": 0.97314453125}, {"start": 1754.78, "end": 1755.58, "word": " التغيير", "probability": 0.9727783203125}, {"start": 1755.58, "end": 1755.82, "word": " في", "probability": 0.978515625}, {"start": 1755.82, "end": 1756.52, "word": " من؟", "probability": 0.7081298828125}, {"start": 1756.52, "end": 1756.68, "word": " في", "probability": 0.94677734375}, {"start": 1756.68, "end": 1757.5, "word": " المركبة", "probability": 0.8369140625}, {"start": 1757.5, "end": 1758.44, "word": " التانية،", "probability": 0.903076171875}, {"start": 1758.44, "end": 1759.0, "word": " يبقى", "probability": 0.990478515625}, {"start": 1759.0, "end": 1759.84, "word": " سالب", "probability": 0.8583984375}, {"start": 1759.84, "end": 1760.52, "word": " واحد", "probability": 0.974365234375}], "temperature": 1.0}, {"id": 76, "seek": 179042, "start": 1760.7, "end": 1790.42, "text": "بنضيف لها مقدار الـ A قداش الـ A عند الـ A بثلاثة يبقى زائد او ناقص اللي هو التلاتة بالشكل اللي عندنا هنا يبقى هذه تساوي اتنين ناقص تلاتة او زائد تلاتة اللي هو بقداش اتنين and اتنين وسالف اربع", "tokens": [3555, 1863, 11242, 33911, 5296, 11296, 3714, 28543, 9640, 2423, 39184, 316, 12174, 3215, 33599, 2423, 39184, 316, 43242, 2423, 39184, 316, 4724, 12984, 1211, 5718, 104, 3660, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 13672, 1829, 31439, 16712, 1211, 9307, 3660, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 34105, 7251, 3555, 4587, 7578, 29538, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 1975, 2407, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 13672, 1829, 31439, 4724, 28543, 33599, 1975, 2655, 1863, 9957, 293, 1975, 2655, 1863, 9957, 46952, 6027, 5172, 1975, 25513, 3615], "avg_logprob": -0.28848378525839913, "compression_ratio": 2.029940119760479, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1760.7, "end": 1761.78, "word": "بنضيف", "probability": 0.6353759765625}, {"start": 1761.78, "end": 1762.34, "word": " لها", "probability": 0.658203125}, {"start": 1762.34, "end": 1765.4, "word": " مقدار", "probability": 0.7872721354166666}, {"start": 1765.4, "end": 1765.88, "word": " الـ", "probability": 0.397705078125}, {"start": 1765.88, "end": 1766.36, "word": " A", "probability": 0.337890625}, {"start": 1766.36, "end": 1767.36, "word": " قداش", "probability": 0.6288248697916666}, {"start": 1767.36, "end": 1767.62, "word": " الـ", "probability": 0.786865234375}, {"start": 1767.62, "end": 1767.82, "word": " A", "probability": 0.78662109375}, {"start": 1767.82, "end": 1768.26, "word": " عند", "probability": 0.7412109375}, {"start": 1768.26, "end": 1769.14, "word": " الـ", "probability": 0.41387939453125}, {"start": 1769.14, "end": 1769.24, "word": " A", "probability": 0.30224609375}, {"start": 1769.24, "end": 1769.96, "word": " بثلاثة", "probability": 0.7185465494791666}, {"start": 1769.96, "end": 1770.7, "word": " يبقى", "probability": 0.94140625}, {"start": 1770.7, "end": 1771.6, "word": " زائد", "probability": 0.784423828125}, {"start": 1771.6, "end": 1772.02, "word": " او", "probability": 0.7255859375}, {"start": 1772.02, "end": 1773.0, "word": " ناقص", "probability": 0.989013671875}, {"start": 1773.0, "end": 1773.74, "word": " اللي", "probability": 0.57080078125}, {"start": 1773.74, "end": 1774.06, "word": " هو", "probability": 0.97509765625}, {"start": 1774.06, "end": 1774.8, "word": " التلاتة", "probability": 0.8489990234375}, {"start": 1774.8, "end": 1775.32, "word": " بالشكل", "probability": 0.92822265625}, {"start": 1775.32, "end": 1775.48, "word": " اللي", "probability": 0.971923828125}, {"start": 1775.48, "end": 1775.78, "word": " عندنا", "probability": 0.6680908203125}, {"start": 1775.78, "end": 1776.04, "word": " هنا", "probability": 0.51953125}, {"start": 1776.04, "end": 1776.98, "word": " يبقى", "probability": 0.960693359375}, {"start": 1776.98, "end": 1777.4, "word": " هذه", "probability": 0.6728515625}, {"start": 1777.4, "end": 1778.52, "word": " تساوي", "probability": 0.96630859375}, {"start": 1778.52, "end": 1781.04, "word": " اتنين", "probability": 0.8682861328125}, {"start": 1781.04, "end": 1781.98, "word": " ناقص", "probability": 0.9786376953125}, {"start": 1781.98, "end": 1782.46, "word": " تلاتة", "probability": 0.88232421875}, {"start": 1782.46, "end": 1782.62, "word": " او", "probability": 0.63916015625}, {"start": 1782.62, "end": 1783.0, "word": " زائد", "probability": 0.8912760416666666}, {"start": 1783.0, "end": 1783.5, "word": " تلاتة", "probability": 0.9541015625}, {"start": 1783.5, "end": 1783.62, "word": " اللي", "probability": 0.836181640625}, {"start": 1783.62, "end": 1783.74, "word": " هو", "probability": 0.99267578125}, {"start": 1783.74, "end": 1784.5, "word": " بقداش", "probability": 0.8225911458333334}, {"start": 1784.5, "end": 1785.86, "word": " اتنين", "probability": 0.85491943359375}, {"start": 1785.86, "end": 1787.02, "word": " and", "probability": 0.5830078125}, {"start": 1787.02, "end": 1788.82, "word": " اتنين", "probability": 0.9503173828125}, {"start": 1788.82, "end": 1789.9, "word": " وسالف", "probability": 0.708740234375}, {"start": 1789.9, "end": 1790.42, "word": " اربع", "probability": 0.8531901041666666}], "temperature": 1.0}, {"id": 77, "seek": 181615, "start": 1790.69, "end": 1816.15, "text": "يبقى هذه اتنين و سالب اربع وهذه اتنين و اتنين ال vertex الاخرى حد اللي هو يتساوي هنا؟ ننتقل الان الى النقطة الثالثة من هذا ال section وهي القطع المخروط الثالث اللي هو القطع الزائد", "tokens": [1829, 3555, 4587, 7578, 29538, 1975, 2655, 1863, 9957, 4032, 8608, 6027, 3555, 1975, 25513, 3615, 37037, 24192, 1975, 2655, 1863, 9957, 4032, 1975, 2655, 1863, 9957, 2423, 28162, 2423, 47283, 2288, 7578, 11331, 3215, 13672, 1829, 31439, 7251, 2655, 3794, 995, 45865, 34105, 22807, 8717, 29399, 4587, 1211, 2423, 7649, 2423, 7578, 28239, 47432, 3660, 6024, 104, 6027, 12984, 3660, 9154, 23758, 2423, 3541, 37037, 1829, 25062, 9566, 3615, 9673, 9778, 32887, 9566, 6024, 104, 6027, 12984, 13672, 1829, 31439, 25062, 9566, 3615, 6024, 110, 16373, 3215], "avg_logprob": -0.20101826378468718, "compression_ratio": 1.8294117647058823, "no_speech_prob": 0.0, "words": [{"start": 1790.69, "end": 1791.47, "word": "يبقى", "probability": 0.8975830078125}, {"start": 1791.47, "end": 1791.89, "word": " هذه", "probability": 0.66015625}, {"start": 1791.89, "end": 1793.03, "word": " اتنين", "probability": 0.79632568359375}, {"start": 1793.03, "end": 1793.53, "word": " و", "probability": 0.60302734375}, {"start": 1793.53, "end": 1794.23, "word": " سالب", "probability": 0.7989908854166666}, {"start": 1794.23, "end": 1795.03, "word": " اربع", "probability": 0.7586263020833334}, {"start": 1795.03, "end": 1796.05, "word": " وهذه", "probability": 0.775390625}, {"start": 1796.05, "end": 1797.15, "word": " اتنين", "probability": 0.85675048828125}, {"start": 1797.15, "end": 1797.55, "word": " و", "probability": 0.78076171875}, {"start": 1797.55, "end": 1798.27, "word": " اتنين", "probability": 0.9461669921875}, {"start": 1798.27, "end": 1798.61, "word": " ال", "probability": 0.6728515625}, {"start": 1798.61, "end": 1799.35, "word": " vertex", "probability": 0.61767578125}, {"start": 1799.35, "end": 1800.41, "word": " الاخرى", "probability": 0.76953125}, {"start": 1800.41, "end": 1800.83, "word": " حد", "probability": 0.6103515625}, {"start": 1800.83, "end": 1800.95, "word": " اللي", "probability": 0.795166015625}, {"start": 1800.95, "end": 1801.09, "word": " هو", "probability": 0.701171875}, {"start": 1801.09, "end": 1801.55, "word": " يتساوي", "probability": 0.852490234375}, {"start": 1801.55, "end": 1802.63, "word": " هنا؟", "probability": 0.6190185546875}, {"start": 1802.63, "end": 1804.99, "word": " ننتقل", "probability": 0.81170654296875}, {"start": 1804.99, "end": 1805.41, "word": " الان", "probability": 0.766357421875}, {"start": 1805.41, "end": 1805.77, "word": " الى", "probability": 0.7841796875}, {"start": 1805.77, "end": 1806.57, "word": " النقطة", "probability": 0.95458984375}, {"start": 1806.57, "end": 1808.59, "word": " الثالثة", "probability": 0.95556640625}, {"start": 1808.59, "end": 1809.55, "word": " من", "probability": 0.94287109375}, {"start": 1809.55, "end": 1809.95, "word": " هذا", "probability": 0.833984375}, {"start": 1809.95, "end": 1810.07, "word": " ال", "probability": 0.89794921875}, {"start": 1810.07, "end": 1810.57, "word": " section", "probability": 0.87255859375}, {"start": 1810.57, "end": 1811.79, "word": " وهي", "probability": 0.83251953125}, {"start": 1811.79, "end": 1812.37, "word": " القطع", "probability": 0.9651692708333334}, {"start": 1812.37, "end": 1813.33, "word": " المخروط", "probability": 0.80169677734375}, {"start": 1813.33, "end": 1814.09, "word": " الثالث", "probability": 0.9659423828125}, {"start": 1814.09, "end": 1814.23, "word": " اللي", "probability": 0.85791015625}, {"start": 1814.23, "end": 1814.35, "word": " هو", "probability": 0.9931640625}, {"start": 1814.35, "end": 1814.99, "word": " القطع", "probability": 0.9765625}, {"start": 1814.99, "end": 1816.15, "word": " الزائد", "probability": 0.927734375}], "temperature": 1.0}, {"id": 78, "seek": 184330, "start": 1817.52, "end": 1843.3, "text": "القطع الزائد اللي هو الـ hyperabula يبقى التالت اللي هو ال hyperabula القطع الزائد شكل القطع الزائد على الشكل التالي هي المحاور هذا محور X هذا محور Y هذا Z", "tokens": [6027, 47432, 3615, 6024, 110, 16373, 3215, 13672, 1829, 31439, 2423, 39184, 9848, 455, 3780, 7251, 3555, 4587, 7578, 16712, 6027, 2655, 13672, 1829, 31439, 2423, 9848, 455, 3780, 25062, 9566, 3615, 6024, 110, 16373, 3215, 13412, 28820, 25062, 9566, 3615, 6024, 110, 16373, 3215, 15844, 25124, 28820, 16712, 6027, 1829, 39896, 9673, 5016, 995, 13063, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 23758, 1176], "avg_logprob": -0.20629528467205988, "compression_ratio": 2.064, "no_speech_prob": 0.0, "words": [{"start": 1817.52, "end": 1818.24, "word": "القطع", "probability": 0.9111328125}, {"start": 1818.24, "end": 1818.92, "word": " الزائد", "probability": 0.7191162109375}, {"start": 1818.92, "end": 1819.12, "word": " اللي", "probability": 0.5196533203125}, {"start": 1819.12, "end": 1819.22, "word": " هو", "probability": 0.95751953125}, {"start": 1819.22, "end": 1819.54, "word": " الـ", "probability": 0.698486328125}, {"start": 1819.54, "end": 1820.5, "word": " hyperabula", "probability": 0.5384928385416666}, {"start": 1820.5, "end": 1823.86, "word": " يبقى", "probability": 0.920654296875}, {"start": 1823.86, "end": 1824.68, "word": " التالت", "probability": 0.9490559895833334}, {"start": 1824.68, "end": 1825.22, "word": " اللي", "probability": 0.977294921875}, {"start": 1825.22, "end": 1825.5, "word": " هو", "probability": 0.99072265625}, {"start": 1825.5, "end": 1825.74, "word": " ال", "probability": 0.9404296875}, {"start": 1825.74, "end": 1828.18, "word": " hyperabula", "probability": 0.8126627604166666}, {"start": 1828.18, "end": 1830.96, "word": " القطع", "probability": 0.77587890625}, {"start": 1830.96, "end": 1832.04, "word": " الزائد", "probability": 0.920166015625}, {"start": 1832.04, "end": 1833.16, "word": " شكل", "probability": 0.8193359375}, {"start": 1833.16, "end": 1833.72, "word": " القطع", "probability": 0.9833984375}, {"start": 1833.72, "end": 1834.32, "word": " الزائد", "probability": 0.951904296875}, {"start": 1834.32, "end": 1834.58, "word": " على", "probability": 0.92822265625}, {"start": 1834.58, "end": 1835.28, "word": " الشكل", "probability": 0.916015625}, {"start": 1835.28, "end": 1836.48, "word": " التالي", "probability": 0.9869791666666666}, {"start": 1836.48, "end": 1837.38, "word": " هي", "probability": 0.227294921875}, {"start": 1837.38, "end": 1838.22, "word": " المحاور", "probability": 0.9449462890625}, {"start": 1838.22, "end": 1839.18, "word": " هذا", "probability": 0.275634765625}, {"start": 1839.18, "end": 1839.76, "word": " محور", "probability": 0.98291015625}, {"start": 1839.76, "end": 1840.28, "word": " X", "probability": 0.88916015625}, {"start": 1840.28, "end": 1841.16, "word": " هذا", "probability": 0.62451171875}, {"start": 1841.16, "end": 1841.82, "word": " محور", "probability": 0.9737955729166666}, {"start": 1841.82, "end": 1842.3, "word": " Y", "probability": 0.9951171875}, {"start": 1842.3, "end": 1842.96, "word": " هذا", "probability": 0.7568359375}, {"start": 1842.96, "end": 1843.3, "word": " Z", "probability": 0.84619140625}], "temperature": 1.0}, {"id": 79, "seek": 187191, "start": 1844.37, "end": 1871.91, "text": "القطع الزائد شكله زي القطع المكافئ بس اتنين زعلانين مع بعض كل واحد موجهه على شجة يبقى هذا الجوس الأول وهذا القطع المكافئ التاني اللي هو الجوس التاني من الناحية التانية على نفس البط هذا بسميه ال center يبقى هذا بسميه ال center", "tokens": [6027, 47432, 3615, 6024, 110, 16373, 3215, 13412, 28820, 3224, 30767, 1829, 25062, 9566, 3615, 9673, 4117, 31845, 19986, 4724, 3794, 1975, 2655, 1863, 9957, 30767, 30241, 7649, 9957, 20449, 45030, 11242, 28242, 36764, 24401, 3714, 29245, 3224, 3224, 15844, 13412, 7435, 3660, 7251, 3555, 4587, 7578, 23758, 25724, 41779, 16247, 12610, 37037, 15730, 25062, 9566, 3615, 9673, 4117, 31845, 19986, 16712, 7649, 1829, 13672, 1829, 31439, 25724, 41779, 16712, 7649, 1829, 9154, 2423, 8315, 5016, 10632, 16712, 7649, 10632, 15844, 8717, 36178, 29739, 9566, 23758, 4724, 38251, 1829, 3224, 2423, 3056, 7251, 3555, 4587, 7578, 23758, 4724, 38251, 1829, 3224, 2423, 3056], "avg_logprob": -0.15489783138036728, "compression_ratio": 2.0842105263157893, "no_speech_prob": 0.0, "words": [{"start": 1844.37, "end": 1845.05, "word": "القطع", "probability": 0.8720703125}, {"start": 1845.05, "end": 1845.79, "word": " الزائد", "probability": 0.7550048828125}, {"start": 1845.79, "end": 1846.85, "word": " شكله", "probability": 0.96533203125}, {"start": 1846.85, "end": 1847.59, "word": " زي", "probability": 0.93994140625}, {"start": 1847.59, "end": 1848.65, "word": " القطع", "probability": 0.96142578125}, {"start": 1848.65, "end": 1849.33, "word": " المكافئ", "probability": 0.9801025390625}, {"start": 1849.33, "end": 1849.67, "word": " بس", "probability": 0.656982421875}, {"start": 1849.67, "end": 1850.11, "word": " اتنين", "probability": 0.83441162109375}, {"start": 1850.11, "end": 1850.75, "word": " زعلانين", "probability": 0.9473876953125}, {"start": 1850.75, "end": 1850.95, "word": " مع", "probability": 0.990234375}, {"start": 1850.95, "end": 1851.35, "word": " بعض", "probability": 0.994873046875}, {"start": 1851.35, "end": 1851.61, "word": " كل", "probability": 0.31689453125}, {"start": 1851.61, "end": 1851.89, "word": " واحد", "probability": 0.99658203125}, {"start": 1851.89, "end": 1852.87, "word": " موجهه", "probability": 0.8173828125}, {"start": 1852.87, "end": 1853.21, "word": " على", "probability": 0.91064453125}, {"start": 1853.21, "end": 1853.83, "word": " شجة", "probability": 0.8136393229166666}, {"start": 1853.83, "end": 1854.83, "word": " يبقى", "probability": 0.7926025390625}, {"start": 1854.83, "end": 1855.41, "word": " هذا", "probability": 0.95556640625}, {"start": 1855.41, "end": 1856.61, "word": " الجوس", "probability": 0.67626953125}, {"start": 1856.61, "end": 1857.33, "word": " الأول", "probability": 0.87890625}, {"start": 1857.33, "end": 1859.15, "word": " وهذا", "probability": 0.7822265625}, {"start": 1859.15, "end": 1859.65, "word": " القطع", "probability": 0.9913736979166666}, {"start": 1859.65, "end": 1860.41, "word": " المكافئ", "probability": 0.9954833984375}, {"start": 1860.41, "end": 1860.89, "word": " التاني", "probability": 0.9313151041666666}, {"start": 1860.89, "end": 1860.99, "word": " اللي", "probability": 0.91552734375}, {"start": 1860.99, "end": 1861.09, "word": " هو", "probability": 0.99365234375}, {"start": 1861.09, "end": 1861.75, "word": " الجوس", "probability": 0.958251953125}, {"start": 1861.75, "end": 1862.41, "word": " التاني", "probability": 0.9625651041666666}, {"start": 1862.41, "end": 1862.55, "word": " من", "probability": 0.9755859375}, {"start": 1862.55, "end": 1863.11, "word": " الناحية", "probability": 0.8961181640625}, {"start": 1863.11, "end": 1863.65, "word": " التانية", "probability": 0.9661458333333334}, {"start": 1863.65, "end": 1864.11, "word": " على", "probability": 0.93017578125}, {"start": 1864.11, "end": 1864.73, "word": " نفس", "probability": 0.99658203125}, {"start": 1864.73, "end": 1865.37, "word": " البط", "probability": 0.6435546875}, {"start": 1865.37, "end": 1866.89, "word": " هذا", "probability": 0.7841796875}, {"start": 1866.89, "end": 1867.69, "word": " بسميه", "probability": 0.975830078125}, {"start": 1867.69, "end": 1867.83, "word": " ال", "probability": 0.86474609375}, {"start": 1867.83, "end": 1868.39, "word": " center", "probability": 0.63818359375}, {"start": 1868.39, "end": 1869.53, "word": " يبقى", "probability": 0.9246826171875}, {"start": 1869.53, "end": 1869.83, "word": " هذا", "probability": 0.978515625}, {"start": 1869.83, "end": 1870.87, "word": " بسميه", "probability": 0.9493408203125}, {"start": 1870.87, "end": 1871.05, "word": " ال", "probability": 0.428955078125}, {"start": 1871.05, "end": 1871.91, "word": " center", "probability": 0.79541015625}], "temperature": 1.0}, {"id": 80, "seek": 189134, "start": 1873.02, "end": 1891.34, "text": "المركز هذه بسميها ال vertex وهذه ال vertex التانية زي ما كانت هناك ال vertex a و 0 في حالة ال ellipse برضه هذه a و 0 وهذه سالب a و 0", "tokens": [45340, 31747, 11622, 29538, 4724, 38251, 1829, 11296, 2423, 28162, 37037, 24192, 2423, 28162, 16712, 7649, 10632, 30767, 1829, 19446, 25961, 2655, 34105, 4117, 2423, 28162, 257, 4032, 1958, 8978, 11331, 6027, 3660, 2423, 8284, 48041, 4724, 43042, 3224, 29538, 257, 4032, 1958, 37037, 24192, 8608, 6027, 3555, 257, 4032, 1958], "avg_logprob": -0.19185696656887347, "compression_ratio": 1.5303030303030303, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1873.02, "end": 1874.0, "word": "المركز", "probability": 0.6895345052083334}, {"start": 1874.0, "end": 1874.74, "word": " هذه", "probability": 0.38037109375}, {"start": 1874.74, "end": 1875.54, "word": " بسميها", "probability": 0.9578857421875}, {"start": 1875.54, "end": 1875.8, "word": " ال", "probability": 0.96728515625}, {"start": 1875.8, "end": 1876.58, "word": " vertex", "probability": 0.50439453125}, {"start": 1876.58, "end": 1877.54, "word": " وهذه", "probability": 0.6597900390625}, {"start": 1877.54, "end": 1877.74, "word": " ال", "probability": 0.9638671875}, {"start": 1877.74, "end": 1878.24, "word": " vertex", "probability": 0.86962890625}, {"start": 1878.24, "end": 1879.08, "word": " التانية", "probability": 0.9446614583333334}, {"start": 1879.08, "end": 1879.94, "word": " زي", "probability": 0.893310546875}, {"start": 1879.94, "end": 1880.14, "word": " ما", "probability": 0.93505859375}, {"start": 1880.14, "end": 1880.6, "word": " كانت", "probability": 0.95751953125}, {"start": 1880.6, "end": 1881.08, "word": " هناك", "probability": 0.956787109375}, {"start": 1881.08, "end": 1881.24, "word": " ال", "probability": 0.9755859375}, {"start": 1881.24, "end": 1881.72, "word": " vertex", "probability": 0.88623046875}, {"start": 1881.72, "end": 1882.04, "word": " a", "probability": 0.404541015625}, {"start": 1882.04, "end": 1882.26, "word": " و", "probability": 0.9296875}, {"start": 1882.26, "end": 1882.5, "word": " 0", "probability": 0.4296875}, {"start": 1882.5, "end": 1882.72, "word": " في", "probability": 0.919921875}, {"start": 1882.72, "end": 1883.1, "word": " حالة", "probability": 0.98779296875}, {"start": 1883.1, "end": 1883.26, "word": " ال", "probability": 0.763671875}, {"start": 1883.26, "end": 1883.6, "word": " ellipse", "probability": 0.818115234375}, {"start": 1883.6, "end": 1884.74, "word": " برضه", "probability": 0.92626953125}, {"start": 1884.74, "end": 1885.3, "word": " هذه", "probability": 0.8408203125}, {"start": 1885.3, "end": 1885.9, "word": " a", "probability": 0.91552734375}, {"start": 1885.9, "end": 1886.66, "word": " و", "probability": 0.95068359375}, {"start": 1886.66, "end": 1887.22, "word": " 0", "probability": 0.81494140625}, {"start": 1887.22, "end": 1888.3, "word": " وهذه", "probability": 0.936767578125}, {"start": 1888.3, "end": 1889.22, "word": " سالب", "probability": 0.7479654947916666}, {"start": 1889.22, "end": 1889.94, "word": " a", "probability": 0.9755859375}, {"start": 1889.94, "end": 1890.42, "word": " و", "probability": 0.98486328125}, {"start": 1890.42, "end": 1891.34, "word": " 0", "probability": 0.85986328125}], "temperature": 1.0}, {"id": 81, "seek": 192017, "start": 1893.07, "end": 1920.17, "text": "بكل قطع مكافئ له بُقرة يبجى هذه بتعصير عندنا البُقرة الأولى وهذه البُقرة الثانية ال focus هذه اليحداتي تبعها C و Zero ال focus هذه سالب C و Zero بالشكل اللي عندنا هذا يبجى عرفت ال A و ال C السؤال هو أين ال B؟", "tokens": [3555, 28820, 12174, 9566, 3615, 3714, 4117, 31845, 19986, 46740, 4724, 10859, 4587, 25720, 7251, 3555, 7435, 7578, 29538, 39894, 3615, 9381, 13546, 43242, 8315, 29739, 10859, 4587, 25720, 16247, 12610, 7578, 37037, 24192, 29739, 10859, 4587, 25720, 6024, 104, 7649, 10632, 2423, 1879, 29538, 45595, 24401, 9307, 1829, 6055, 3555, 3615, 11296, 383, 4032, 17182, 2423, 1879, 29538, 8608, 6027, 3555, 383, 4032, 17182, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 7435, 7578, 6225, 28480, 2655, 2423, 316, 4032, 2423, 383, 21136, 33604, 6027, 31439, 5551, 9957, 2423, 363, 22807], "avg_logprob": -0.19572368483794364, "compression_ratio": 1.8082901554404145, "no_speech_prob": 0.0, "words": [{"start": 1893.07, "end": 1894.07, "word": "بكل", "probability": 0.91796875}, {"start": 1894.07, "end": 1895.13, "word": " قطع", "probability": 0.9446614583333334}, {"start": 1895.13, "end": 1895.93, "word": " مكافئ", "probability": 0.97314453125}, {"start": 1895.93, "end": 1896.27, "word": " له", "probability": 0.6943359375}, {"start": 1896.27, "end": 1896.85, "word": " بُقرة", "probability": 0.77569580078125}, {"start": 1896.85, "end": 1898.01, "word": " يبجى", "probability": 0.6895751953125}, {"start": 1898.01, "end": 1898.51, "word": " هذه", "probability": 0.4365234375}, {"start": 1898.51, "end": 1899.45, "word": " بتعصير", "probability": 0.62164306640625}, {"start": 1899.45, "end": 1900.01, "word": " عندنا", "probability": 0.707275390625}, {"start": 1900.01, "end": 1900.53, "word": " البُقرة", "probability": 0.9627685546875}, {"start": 1900.53, "end": 1901.53, "word": " الأولى", "probability": 0.98876953125}, {"start": 1901.53, "end": 1902.51, "word": " وهذه", "probability": 0.843994140625}, {"start": 1902.51, "end": 1903.13, "word": " البُقرة", "probability": 0.9832763671875}, {"start": 1903.13, "end": 1903.89, "word": " الثانية", "probability": 0.9725341796875}, {"start": 1903.89, "end": 1904.57, "word": " ال", "probability": 0.783203125}, {"start": 1904.57, "end": 1905.11, "word": " focus", "probability": 0.93408203125}, {"start": 1905.11, "end": 1905.69, "word": " هذه", "probability": 0.8662109375}, {"start": 1905.69, "end": 1906.47, "word": " اليحداتي", "probability": 0.6837158203125}, {"start": 1906.47, "end": 1907.19, "word": " تبعها", "probability": 0.955322265625}, {"start": 1907.19, "end": 1907.83, "word": " C", "probability": 0.318603515625}, {"start": 1907.83, "end": 1908.27, "word": " و", "probability": 0.79345703125}, {"start": 1908.27, "end": 1908.75, "word": " Zero", "probability": 0.461669921875}, {"start": 1908.75, "end": 1909.57, "word": " ال", "probability": 0.81640625}, {"start": 1909.57, "end": 1910.05, "word": " focus", "probability": 0.97509765625}, {"start": 1910.05, "end": 1910.63, "word": " هذه", "probability": 0.81103515625}, {"start": 1910.63, "end": 1911.51, "word": " سالب", "probability": 0.8528645833333334}, {"start": 1911.51, "end": 1912.13, "word": " C", "probability": 0.93359375}, {"start": 1912.13, "end": 1912.49, "word": " و", "probability": 0.96484375}, {"start": 1912.49, "end": 1912.83, "word": " Zero", "probability": 0.9736328125}, {"start": 1912.83, "end": 1913.47, "word": " بالشكل", "probability": 0.95849609375}, {"start": 1913.47, "end": 1913.65, "word": " اللي", "probability": 0.9404296875}, {"start": 1913.65, "end": 1914.13, "word": " عندنا", "probability": 0.950927734375}, {"start": 1914.13, "end": 1914.55, "word": " هذا", "probability": 0.85986328125}, {"start": 1914.55, "end": 1915.55, "word": " يبجى", "probability": 0.9637451171875}, {"start": 1915.55, "end": 1916.07, "word": " عرفت", "probability": 0.7791341145833334}, {"start": 1916.07, "end": 1916.25, "word": " ال", "probability": 0.90283203125}, {"start": 1916.25, "end": 1916.51, "word": " A", "probability": 0.78857421875}, {"start": 1916.51, "end": 1916.77, "word": " و", "probability": 0.79833984375}, {"start": 1916.77, "end": 1916.89, "word": " ال", "probability": 0.5625}, {"start": 1916.89, "end": 1917.05, "word": " C", "probability": 0.82763671875}, {"start": 1917.05, "end": 1917.73, "word": " السؤال", "probability": 0.94873046875}, {"start": 1917.73, "end": 1918.03, "word": " هو", "probability": 0.92529296875}, {"start": 1918.03, "end": 1918.71, "word": " أين", "probability": 0.763671875}, {"start": 1918.71, "end": 1919.15, "word": " ال", "probability": 0.9765625}, {"start": 1919.15, "end": 1920.17, "word": " B؟", "probability": 0.88525390625}], "temperature": 1.0}, {"id": 82, "seek": 194784, "start": 1920.32, "end": 1947.84, "text": "المعادلة تبعته هي X تربية على A تربية نقص Y تربية على B تربية تساوي واحد والمعادلة المرافقة هي B يسوى الجذر التربية إلى C تربية ناقص A تربية في حالة اللي اللي مش كان العكس A تربية ناقص C تربية لأنه A أكبر من C", "tokens": [45340, 3615, 18513, 37977, 6055, 3555, 34268, 3224, 39896, 1783, 6055, 25513, 10632, 15844, 316, 6055, 25513, 10632, 8717, 4587, 9381, 398, 6055, 25513, 10632, 15844, 363, 6055, 25513, 10632, 6055, 3794, 995, 45865, 36764, 24401, 16070, 2304, 3615, 18513, 37977, 9673, 23557, 5172, 28671, 39896, 363, 7251, 3794, 2407, 7578, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 383, 6055, 25513, 10632, 8717, 995, 4587, 9381, 316, 6055, 25513, 10632, 8978, 11331, 6027, 3660, 13672, 1829, 13672, 1829, 37893, 25961, 18863, 4117, 3794, 316, 6055, 25513, 10632, 8717, 995, 4587, 9381, 383, 6055, 25513, 10632, 5296, 33456, 3224, 316, 5551, 4117, 26890, 9154, 383], "avg_logprob": -0.13630952721550352, "compression_ratio": 2.104651162790698, "no_speech_prob": 0.0, "words": [{"start": 1920.32, "end": 1921.24, "word": "المعادلة", "probability": 0.938720703125}, {"start": 1921.24, "end": 1922.08, "word": " تبعته", "probability": 0.8426513671875}, {"start": 1922.08, "end": 1922.48, "word": " هي", "probability": 0.7314453125}, {"start": 1922.48, "end": 1922.9, "word": " X", "probability": 0.6376953125}, {"start": 1922.9, "end": 1923.56, "word": " تربية", "probability": 0.8181966145833334}, {"start": 1923.56, "end": 1924.32, "word": " على", "probability": 0.72412109375}, {"start": 1924.32, "end": 1924.6, "word": " A", "probability": 0.8310546875}, {"start": 1924.6, "end": 1925.3, "word": " تربية", "probability": 0.9698893229166666}, {"start": 1925.3, "end": 1926.16, "word": " نقص", "probability": 0.7919921875}, {"start": 1926.16, "end": 1926.42, "word": " Y", "probability": 0.9267578125}, {"start": 1926.42, "end": 1927.16, "word": " تربية", "probability": 0.9793294270833334}, {"start": 1927.16, "end": 1927.78, "word": " على", "probability": 0.8896484375}, {"start": 1927.78, "end": 1928.06, "word": " B", "probability": 0.90380859375}, {"start": 1928.06, "end": 1928.56, "word": " تربية", "probability": 0.9845377604166666}, {"start": 1928.56, "end": 1929.2, "word": " تساوي", "probability": 0.8984375}, {"start": 1929.2, "end": 1929.8, "word": " واحد", "probability": 0.945068359375}, {"start": 1929.8, "end": 1934.0, "word": " والمعادلة", "probability": 0.88271484375}, {"start": 1934.0, "end": 1934.94, "word": " المرافقة", "probability": 0.986083984375}, {"start": 1934.94, "end": 1935.46, "word": " هي", "probability": 0.90478515625}, {"start": 1935.46, "end": 1935.96, "word": " B", "probability": 0.430419921875}, {"start": 1935.96, "end": 1936.92, "word": " يسوى", "probability": 0.81787109375}, {"start": 1936.92, "end": 1937.4, "word": " الجذر", "probability": 0.8409830729166666}, {"start": 1937.4, "end": 1938.04, "word": " التربية", "probability": 0.9524739583333334}, {"start": 1938.04, "end": 1938.32, "word": " إلى", "probability": 0.66259765625}, {"start": 1938.32, "end": 1938.62, "word": " C", "probability": 0.9599609375}, {"start": 1938.62, "end": 1939.3, "word": " تربية", "probability": 0.9794921875}, {"start": 1939.3, "end": 1940.24, "word": " ناقص", "probability": 0.9483642578125}, {"start": 1940.24, "end": 1940.72, "word": " A", "probability": 0.93896484375}, {"start": 1940.72, "end": 1941.3, "word": " تربية", "probability": 0.9825846354166666}, {"start": 1941.3, "end": 1942.02, "word": " في", "probability": 0.8662109375}, {"start": 1942.02, "end": 1942.3, "word": " حالة", "probability": 0.8974609375}, {"start": 1942.3, "end": 1942.4, "word": " اللي", "probability": 0.719970703125}, {"start": 1942.4, "end": 1942.52, "word": " اللي", "probability": 0.58203125}, {"start": 1942.52, "end": 1942.66, "word": " مش", "probability": 0.74365234375}, {"start": 1942.66, "end": 1942.9, "word": " كان", "probability": 0.95703125}, {"start": 1942.9, "end": 1943.64, "word": " العكس", "probability": 0.9591471354166666}, {"start": 1943.64, "end": 1944.4, "word": " A", "probability": 0.85986328125}, {"start": 1944.4, "end": 1944.92, "word": " تربية", "probability": 0.9855143229166666}, {"start": 1944.92, "end": 1945.42, "word": " ناقص", "probability": 0.97265625}, {"start": 1945.42, "end": 1945.62, "word": " C", "probability": 0.93896484375}, {"start": 1945.62, "end": 1945.94, "word": " تربية", "probability": 0.9791666666666666}, {"start": 1945.94, "end": 1946.32, "word": " لأنه", "probability": 0.6708170572916666}, {"start": 1946.32, "end": 1946.56, "word": " A", "probability": 0.91845703125}, {"start": 1946.56, "end": 1947.22, "word": " أكبر", "probability": 0.966796875}, {"start": 1947.22, "end": 1947.54, "word": " من", "probability": 0.9921875}, {"start": 1947.54, "end": 1947.84, "word": " C", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 83, "seek": 197697, "start": 1948.93, "end": 1976.97, "text": "بس هنا الـC أكبر من مين؟ من الـA ومن هنا قلنا C تربية ناقص A تربية بالشكل اللي قدامك هذا طيب السؤال هو وين الـB؟ الـC موجودة بس الـB مش شايفينها بقولك بصيفة جدا، في عندنا شغلة جديدة اسمها الـasymptotes خطوط التقارب بالنسبة للـhyperbola", "tokens": [3555, 3794, 34105, 2423, 39184, 34, 5551, 4117, 26890, 9154, 3714, 9957, 22807, 9154, 2423, 39184, 32, 4032, 27842, 34105, 12174, 1211, 8315, 383, 6055, 25513, 10632, 8717, 995, 4587, 9381, 316, 6055, 25513, 10632, 20666, 8592, 28820, 13672, 1829, 12174, 3215, 10943, 4117, 23758, 23032, 1829, 3555, 21136, 33604, 6027, 31439, 4032, 9957, 2423, 39184, 33, 22807, 2423, 39184, 34, 3714, 29245, 23328, 3660, 4724, 3794, 2423, 39184, 33, 37893, 13412, 995, 33911, 9957, 11296, 4724, 39648, 4117, 4724, 9381, 33911, 3660, 10874, 28259, 12399, 8978, 43242, 8315, 13412, 17082, 37977, 10874, 16254, 41891, 24525, 2304, 11296, 2423, 39184, 296, 34029, 17251, 16490, 9566, 2407, 9566, 16712, 4587, 9640, 3555, 20666, 1863, 35457, 3660, 24976, 39184, 3495, 610, 65, 4711], "avg_logprob": -0.1677766432527636, "compression_ratio": 1.6570247933884297, "no_speech_prob": 0.0, "words": [{"start": 1948.93, "end": 1949.37, "word": "بس", "probability": 0.833251953125}, {"start": 1949.37, "end": 1949.75, "word": " هنا", "probability": 0.90478515625}, {"start": 1949.75, "end": 1950.37, "word": " الـC", "probability": 0.6940104166666666}, {"start": 1950.37, "end": 1951.39, "word": " أكبر", "probability": 0.9376627604166666}, {"start": 1951.39, "end": 1951.63, "word": " من", "probability": 0.962890625}, {"start": 1951.63, "end": 1952.39, "word": " مين؟", "probability": 0.7137858072916666}, {"start": 1952.39, "end": 1952.69, "word": " من", "probability": 0.95947265625}, {"start": 1952.69, "end": 1953.27, "word": " الـA", "probability": 0.9396158854166666}, {"start": 1953.27, "end": 1953.97, "word": " ومن", "probability": 0.705810546875}, {"start": 1953.97, "end": 1954.31, "word": " هنا", "probability": 0.9921875}, {"start": 1954.31, "end": 1954.91, "word": " قلنا", "probability": 0.58984375}, {"start": 1954.91, "end": 1955.23, "word": " C", "probability": 0.576171875}, {"start": 1955.23, "end": 1955.91, "word": " تربية", "probability": 0.8865559895833334}, {"start": 1955.91, "end": 1956.81, "word": " ناقص", "probability": 0.9495849609375}, {"start": 1956.81, "end": 1957.33, "word": " A", "probability": 0.55224609375}, {"start": 1957.33, "end": 1957.99, "word": " تربية", "probability": 0.97412109375}, {"start": 1957.99, "end": 1958.97, "word": " بالشكل", "probability": 0.9130859375}, {"start": 1958.97, "end": 1959.11, "word": " اللي", "probability": 0.954833984375}, {"start": 1959.11, "end": 1959.71, "word": " قدامك", "probability": 0.986328125}, {"start": 1959.71, "end": 1960.05, "word": " هذا", "probability": 0.83154296875}, {"start": 1960.05, "end": 1961.21, "word": " طيب", "probability": 0.8606770833333334}, {"start": 1961.21, "end": 1961.87, "word": " السؤال", "probability": 0.9034830729166666}, {"start": 1961.87, "end": 1962.13, "word": " هو", "probability": 0.9873046875}, {"start": 1962.13, "end": 1963.15, "word": " وين", "probability": 0.87255859375}, {"start": 1963.15, "end": 1964.55, "word": " الـB؟", "probability": 0.8328857421875}, {"start": 1964.55, "end": 1964.73, "word": " الـC", "probability": 0.9270833333333334}, {"start": 1964.73, "end": 1965.35, "word": " موجودة", "probability": 0.9915771484375}, {"start": 1965.35, "end": 1965.61, "word": " بس", "probability": 0.942626953125}, {"start": 1965.61, "end": 1965.83, "word": " الـB", "probability": 0.9817708333333334}, {"start": 1965.83, "end": 1966.05, "word": " مش", "probability": 0.97265625}, {"start": 1966.05, "end": 1966.75, "word": " شايفينها", "probability": 0.9798828125}, {"start": 1966.75, "end": 1967.69, "word": " بقولك", "probability": 0.6747233072916666}, {"start": 1967.69, "end": 1968.31, "word": " بصيفة", "probability": 0.863037109375}, {"start": 1968.31, "end": 1968.89, "word": " جدا،", "probability": 0.8175455729166666}, {"start": 1968.89, "end": 1969.07, "word": " في", "probability": 0.78662109375}, {"start": 1969.07, "end": 1969.49, "word": " عندنا", "probability": 0.57476806640625}, {"start": 1969.49, "end": 1969.91, "word": " شغلة", "probability": 0.796875}, {"start": 1969.91, "end": 1970.71, "word": " جديدة", "probability": 0.9866536458333334}, {"start": 1970.71, "end": 1971.65, "word": " اسمها", "probability": 0.9435221354166666}, {"start": 1971.65, "end": 1973.31, "word": " الـasymptotes", "probability": 0.729296875}, {"start": 1973.31, "end": 1974.31, "word": " خطوط", "probability": 0.91650390625}, {"start": 1974.31, "end": 1975.01, "word": " التقارب", "probability": 0.9927978515625}, {"start": 1975.01, "end": 1975.57, "word": " بالنسبة", "probability": 0.994140625}, {"start": 1975.57, "end": 1976.97, "word": " للـhyperbola", "probability": 0.8189697265625}], "temperature": 1.0}, {"id": 84, "seek": 199973, "start": 1977.31, "end": 1999.73, "text": "شو خطوط التقارب؟ خط التقارب خط يمر بنقطة الأصل وياكاد يمس المنحنة من وين؟ من الناحيتين، بالشكل اللي عندنا هذا، تمام؟ يبقى هذا المنحنة بظل صحبه وياه ماشيين مع بعض بجسده", "tokens": [8592, 2407, 16490, 9566, 2407, 9566, 16712, 4587, 9640, 3555, 22807, 16490, 9566, 16712, 4587, 9640, 3555, 16490, 9566, 7251, 29973, 44945, 47432, 3660, 16247, 36520, 4032, 25528, 4117, 18513, 7251, 2304, 3794, 9673, 1863, 5016, 1863, 3660, 9154, 4032, 9957, 22807, 9154, 2423, 8315, 5016, 36081, 9957, 12399, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 12399, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 23758, 9673, 1863, 5016, 1863, 3660, 4724, 19913, 1211, 20328, 5016, 3555, 3224, 4032, 25528, 3224, 3714, 33599, 1829, 9957, 20449, 45030, 11242, 4724, 7435, 3794, 3215, 3224], "avg_logprob": -0.15176197077999723, "compression_ratio": 1.7988165680473374, "no_speech_prob": 0.0, "words": [{"start": 1977.31, "end": 1977.79, "word": "شو", "probability": 0.4494171142578125}, {"start": 1977.79, "end": 1978.23, "word": " خطوط", "probability": 0.9642333984375}, {"start": 1978.23, "end": 1979.57, "word": " التقارب؟", "probability": 0.9830078125}, {"start": 1979.57, "end": 1979.93, "word": " خط", "probability": 0.98681640625}, {"start": 1979.93, "end": 1980.69, "word": " التقارب", "probability": 0.9921875}, {"start": 1980.69, "end": 1981.17, "word": " خط", "probability": 0.8896484375}, {"start": 1981.17, "end": 1981.73, "word": " يمر", "probability": 0.98779296875}, {"start": 1981.73, "end": 1982.51, "word": " بنقطة", "probability": 0.9607747395833334}, {"start": 1982.51, "end": 1983.15, "word": " الأصل", "probability": 0.913818359375}, {"start": 1983.15, "end": 1984.41, "word": " وياكاد", "probability": 0.7017822265625}, {"start": 1984.41, "end": 1985.09, "word": " يمس", "probability": 0.9763997395833334}, {"start": 1985.09, "end": 1986.57, "word": " المنحنة", "probability": 0.86181640625}, {"start": 1986.57, "end": 1987.27, "word": " من", "probability": 0.94091796875}, {"start": 1987.27, "end": 1988.21, "word": " وين؟", "probability": 0.8380533854166666}, {"start": 1988.21, "end": 1988.43, "word": " من", "probability": 0.974609375}, {"start": 1988.43, "end": 1989.91, "word": " الناحيتين،", "probability": 0.8927408854166666}, {"start": 1989.91, "end": 1990.41, "word": " بالشكل", "probability": 0.7783203125}, {"start": 1990.41, "end": 1990.57, "word": " اللي", "probability": 0.97900390625}, {"start": 1990.57, "end": 1990.97, "word": " عندنا", "probability": 0.864501953125}, {"start": 1990.97, "end": 1991.67, "word": " هذا،", "probability": 0.641845703125}, {"start": 1991.67, "end": 1994.09, "word": " تمام؟", "probability": 0.8829752604166666}, {"start": 1994.09, "end": 1994.53, "word": " يبقى", "probability": 0.952880859375}, {"start": 1994.53, "end": 1994.79, "word": " هذا", "probability": 0.96240234375}, {"start": 1994.79, "end": 1995.79, "word": " المنحنة", "probability": 0.9859375}, {"start": 1995.79, "end": 1996.21, "word": " بظل", "probability": 0.58984375}, {"start": 1996.21, "end": 1996.83, "word": " صحبه", "probability": 0.9345703125}, {"start": 1996.83, "end": 1997.73, "word": " وياه", "probability": 0.91796875}, {"start": 1997.73, "end": 1998.47, "word": " ماشيين", "probability": 0.8927001953125}, {"start": 1998.47, "end": 1998.65, "word": " مع", "probability": 0.99365234375}, {"start": 1998.65, "end": 1999.01, "word": " بعض", "probability": 0.994873046875}, {"start": 1999.01, "end": 1999.73, "word": " بجسده", "probability": 0.87880859375}], "temperature": 1.0}, {"id": 85, "seek": 202891, "start": 2004.57, "end": 2028.91, "text": "بنجي لخط التقارب التاني بنفس الطريقة الملتقة عند نقطة الأصل بهذا الشكل طيب ماشي يبقى هذا اسمه asymptote خط تقارب وهذا كمان اسمه asymptote", "tokens": [3555, 1863, 7435, 1829, 5296, 9778, 9566, 16712, 4587, 9640, 3555, 16712, 7649, 1829, 44945, 36178, 41950, 16572, 28671, 9673, 1211, 2655, 28671, 43242, 8717, 47432, 3660, 16247, 36520, 39627, 15730, 25124, 28820, 23032, 1829, 3555, 3714, 33599, 1829, 7251, 3555, 4587, 7578, 23758, 24525, 2304, 3224, 35114, 1370, 16490, 9566, 6055, 4587, 9640, 3555, 37037, 15730, 9122, 2304, 7649, 24525, 2304, 3224, 35114, 1370], "avg_logprob": -0.13837594651814664, "compression_ratio": 1.606896551724138, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2004.57, "end": 2005.97, "word": "بنجي", "probability": 0.603179931640625}, {"start": 2005.97, "end": 2006.57, "word": " لخط", "probability": 0.9446614583333334}, {"start": 2006.57, "end": 2007.47, "word": " التقارب", "probability": 0.97314453125}, {"start": 2007.47, "end": 2008.21, "word": " التاني", "probability": 0.9152018229166666}, {"start": 2008.21, "end": 2008.89, "word": " بنفس", "probability": 0.965087890625}, {"start": 2008.89, "end": 2009.85, "word": " الطريقة", "probability": 0.99072265625}, {"start": 2009.85, "end": 2011.29, "word": " الملتقة", "probability": 0.91796875}, {"start": 2011.29, "end": 2011.77, "word": " عند", "probability": 0.99462890625}, {"start": 2011.77, "end": 2012.49, "word": " نقطة", "probability": 0.97802734375}, {"start": 2012.49, "end": 2013.13, "word": " الأصل", "probability": 0.8818359375}, {"start": 2013.13, "end": 2014.19, "word": " بهذا", "probability": 0.76171875}, {"start": 2014.19, "end": 2014.97, "word": " الشكل", "probability": 0.987548828125}, {"start": 2014.97, "end": 2016.41, "word": " طيب", "probability": 0.7425944010416666}, {"start": 2016.41, "end": 2016.95, "word": " ماشي", "probability": 0.92138671875}, {"start": 2016.95, "end": 2017.53, "word": " يبقى", "probability": 0.911376953125}, {"start": 2017.53, "end": 2017.85, "word": " هذا", "probability": 0.9560546875}, {"start": 2017.85, "end": 2019.01, "word": " اسمه", "probability": 0.9508463541666666}, {"start": 2019.01, "end": 2022.83, "word": " asymptote", "probability": 0.641845703125}, {"start": 2022.83, "end": 2024.31, "word": " خط", "probability": 0.977783203125}, {"start": 2024.31, "end": 2025.15, "word": " تقارب", "probability": 0.9908447265625}, {"start": 2025.15, "end": 2025.93, "word": " وهذا", "probability": 0.76611328125}, {"start": 2025.93, "end": 2026.65, "word": " كمان", "probability": 0.8766276041666666}, {"start": 2026.65, "end": 2027.63, "word": " اسمه", "probability": 0.9747721354166666}, {"start": 2027.63, "end": 2028.91, "word": " asymptote", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 86, "seek": 204562, "start": 2029.82, "end": 2045.62, "text": "طيب يا عزيزي، الان نبحث عن الـP، ما هي شكل الـP؟ بتقولك بسيطة، تجي عند الرأس هذا و بترسم مماز يمس المنحنة و يقطع الـtwo asymptotes", "tokens": [9566, 1829, 3555, 35186, 6225, 11622, 1829, 11622, 1829, 12399, 2423, 7649, 8717, 49628, 12984, 18871, 2423, 39184, 47, 12399, 19446, 39896, 13412, 28820, 2423, 39184, 47, 22807, 39894, 39648, 4117, 4724, 3794, 1829, 9566, 3660, 12399, 6055, 7435, 1829, 43242, 34892, 10721, 3794, 23758, 4032, 39894, 2288, 38251, 3714, 2304, 31377, 7251, 2304, 3794, 9673, 1863, 5016, 1863, 3660, 4032, 7251, 47432, 3615, 2423, 39184, 20534, 35114, 17251], "avg_logprob": -0.3814732151372092, "compression_ratio": 1.4102564102564104, "no_speech_prob": 0.0, "words": [{"start": 2029.82, "end": 2030.26, "word": "طيب", "probability": 0.5987548828125}, {"start": 2030.26, "end": 2030.58, "word": " يا", "probability": 0.255126953125}, {"start": 2030.58, "end": 2031.3, "word": " عزيزي،", "probability": 0.8048095703125}, {"start": 2031.3, "end": 2032.1, "word": " الان", "probability": 0.57098388671875}, {"start": 2032.1, "end": 2033.28, "word": " نبحث", "probability": 0.8115234375}, {"start": 2033.28, "end": 2033.66, "word": " عن", "probability": 0.8427734375}, {"start": 2033.66, "end": 2034.22, "word": " الـP،", "probability": 0.412933349609375}, {"start": 2034.22, "end": 2034.28, "word": " ما", "probability": 0.27734375}, {"start": 2034.28, "end": 2034.36, "word": " هي", "probability": 0.501953125}, {"start": 2034.36, "end": 2034.78, "word": " شكل", "probability": 0.911376953125}, {"start": 2034.78, "end": 2035.86, "word": " الـP؟", "probability": 0.834228515625}, {"start": 2035.86, "end": 2036.38, "word": " بتقولك", "probability": 0.4868977864583333}, {"start": 2036.38, "end": 2036.96, "word": " بسيطة،", "probability": 0.9236653645833334}, {"start": 2036.96, "end": 2037.42, "word": " تجي", "probability": 0.6226399739583334}, {"start": 2037.42, "end": 2037.76, "word": " عند", "probability": 0.85888671875}, {"start": 2037.76, "end": 2038.52, "word": " الرأس", "probability": 0.9754231770833334}, {"start": 2038.52, "end": 2039.1, "word": " هذا", "probability": 0.92431640625}, {"start": 2039.1, "end": 2039.64, "word": " و", "probability": 0.26171875}, {"start": 2039.64, "end": 2040.42, "word": " بترسم", "probability": 0.788818359375}, {"start": 2040.42, "end": 2041.38, "word": " مماز", "probability": 0.7457682291666666}, {"start": 2041.38, "end": 2042.5, "word": " يمس", "probability": 0.9111328125}, {"start": 2042.5, "end": 2043.52, "word": " المنحنة", "probability": 0.903125}, {"start": 2043.52, "end": 2043.68, "word": " و", "probability": 0.9833984375}, {"start": 2043.68, "end": 2044.22, "word": " يقطع", "probability": 0.9519856770833334}, {"start": 2044.22, "end": 2044.6, "word": " الـtwo", "probability": 0.5745442708333334}, {"start": 2044.6, "end": 2045.62, "word": " asymptotes", "probability": 0.833251953125}], "temperature": 1.0}, {"id": 87, "seek": 206361, "start": 2046.07, "end": 2063.61, "text": "وبتيجي عند الرأس التاني وبترسم مماث يقطع المنحنة ويمس المنحنة ويقطع ال symptoms بتيجي بتوصل ما بين الاتنين، بتكون عندك main مستطيلة", "tokens": [37746, 31371, 7435, 1829, 43242, 34892, 10721, 3794, 16712, 7649, 1829, 46599, 2655, 2288, 38251, 3714, 2304, 5718, 104, 7251, 47432, 3615, 9673, 1863, 5016, 1863, 3660, 4032, 32640, 3794, 9673, 1863, 5016, 1863, 3660, 4032, 1829, 47432, 3615, 2423, 8332, 4724, 31371, 7435, 1829, 39894, 2407, 36520, 19446, 49374, 2423, 9307, 1863, 9957, 12399, 39894, 30544, 43242, 4117, 2135, 3714, 14851, 9566, 26895, 3660], "avg_logprob": -0.23828124909689932, "compression_ratio": 1.5684931506849316, "no_speech_prob": 0.0, "words": [{"start": 2046.07, "end": 2046.73, "word": "وبتيجي", "probability": 0.6409912109375}, {"start": 2046.73, "end": 2047.01, "word": " عند", "probability": 0.95166015625}, {"start": 2047.01, "end": 2047.63, "word": " الرأس", "probability": 0.9464518229166666}, {"start": 2047.63, "end": 2048.15, "word": " التاني", "probability": 0.94287109375}, {"start": 2048.15, "end": 2048.87, "word": " وبترسم", "probability": 0.85089111328125}, {"start": 2048.87, "end": 2049.69, "word": " مماث", "probability": 0.7176513671875}, {"start": 2049.69, "end": 2050.81, "word": " يقطع", "probability": 0.9098307291666666}, {"start": 2050.81, "end": 2052.25, "word": " المنحنة", "probability": 0.90810546875}, {"start": 2052.25, "end": 2053.93, "word": " ويمس", "probability": 0.7052408854166666}, {"start": 2053.93, "end": 2054.59, "word": " المنحنة", "probability": 0.97412109375}, {"start": 2054.59, "end": 2055.13, "word": " ويقطع", "probability": 0.973388671875}, {"start": 2055.13, "end": 2055.31, "word": " ال", "probability": 0.92919921875}, {"start": 2055.31, "end": 2055.93, "word": " symptoms", "probability": 0.2425537109375}, {"start": 2055.93, "end": 2057.15, "word": " بتيجي", "probability": 0.761474609375}, {"start": 2057.15, "end": 2058.01, "word": " بتوصل", "probability": 0.7819010416666666}, {"start": 2058.01, "end": 2058.33, "word": " ما", "probability": 0.84912109375}, {"start": 2058.33, "end": 2058.61, "word": " بين", "probability": 0.9921875}, {"start": 2058.61, "end": 2060.03, "word": " الاتنين،", "probability": 0.718896484375}, {"start": 2060.03, "end": 2060.57, "word": " بتكون", "probability": 0.736328125}, {"start": 2060.57, "end": 2061.17, "word": " عندك", "probability": 0.991455078125}, {"start": 2061.17, "end": 2061.63, "word": " main", "probability": 0.716796875}, {"start": 2061.63, "end": 2063.61, "word": " مستطيلة", "probability": 0.96376953125}], "temperature": 1.0}, {"id": 88, "seek": 208307, "start": 2064.03, "end": 2083.07, "text": "مصفيل أحد الأبعاد هذا كده المسافة هذه اه والتانية اه المسافة هذه بي يفجأ هذه اللي هي بي وهذه التانية اللي هي مين بي يعرفنا موقع بي اللي هو اتنين بي اتدلق الاخر", "tokens": [2304, 9381, 5172, 26895, 5551, 24401, 16247, 3555, 3615, 18513, 23758, 9122, 3215, 3224, 9673, 3794, 31845, 3660, 29538, 1975, 3224, 16070, 2655, 7649, 10632, 1975, 3224, 9673, 3794, 31845, 3660, 29538, 4724, 1829, 7251, 5172, 7435, 10721, 29538, 13672, 1829, 39896, 4724, 1829, 37037, 24192, 16712, 7649, 10632, 13672, 1829, 39896, 3714, 9957, 4724, 1829, 37495, 28480, 8315, 3714, 30543, 3615, 4724, 1829, 13672, 1829, 31439, 1975, 2655, 1863, 9957, 4724, 1829, 1975, 2655, 3215, 1211, 4587, 2423, 47283, 2288], "avg_logprob": -0.3488948207076003, "compression_ratio": 1.9861111111111112, "no_speech_prob": 0.0, "words": [{"start": 2064.03, "end": 2065.17, "word": "مصفيل", "probability": 0.631103515625}, {"start": 2065.17, "end": 2065.87, "word": " أحد", "probability": 0.67041015625}, {"start": 2065.87, "end": 2066.67, "word": " الأبعاد", "probability": 0.97119140625}, {"start": 2066.67, "end": 2066.93, "word": " هذا", "probability": 0.63720703125}, {"start": 2066.93, "end": 2067.31, "word": " كده", "probability": 0.5174153645833334}, {"start": 2067.31, "end": 2067.95, "word": " المسافة", "probability": 0.8753662109375}, {"start": 2067.95, "end": 2068.51, "word": " هذه", "probability": 0.31494140625}, {"start": 2068.51, "end": 2069.69, "word": " اه", "probability": 0.22650146484375}, {"start": 2069.69, "end": 2070.53, "word": " والتانية", "probability": 0.8470458984375}, {"start": 2070.53, "end": 2070.93, "word": " اه", "probability": 0.333740234375}, {"start": 2070.93, "end": 2071.81, "word": " المسافة", "probability": 0.9736328125}, {"start": 2071.81, "end": 2072.11, "word": " هذه", "probability": 0.7880859375}, {"start": 2072.11, "end": 2072.61, "word": " بي", "probability": 0.77294921875}, {"start": 2072.61, "end": 2073.55, "word": " يفجأ", "probability": 0.67022705078125}, {"start": 2073.55, "end": 2073.83, "word": " هذه", "probability": 0.463623046875}, {"start": 2073.83, "end": 2074.03, "word": " اللي", "probability": 0.78271484375}, {"start": 2074.03, "end": 2074.25, "word": " هي", "probability": 0.51904296875}, {"start": 2074.25, "end": 2074.77, "word": " بي", "probability": 0.9521484375}, {"start": 2074.77, "end": 2075.57, "word": " وهذه", "probability": 0.8564453125}, {"start": 2075.57, "end": 2076.09, "word": " التانية", "probability": 0.8785807291666666}, {"start": 2076.09, "end": 2076.25, "word": " اللي", "probability": 0.97119140625}, {"start": 2076.25, "end": 2076.45, "word": " هي", "probability": 0.939453125}, {"start": 2076.45, "end": 2077.01, "word": " مين", "probability": 0.6583251953125}, {"start": 2077.01, "end": 2078.05, "word": " بي", "probability": 0.965576171875}, {"start": 2078.05, "end": 2078.83, "word": " يعرفنا", "probability": 0.8898111979166666}, {"start": 2078.83, "end": 2079.35, "word": " موقع", "probability": 0.9853515625}, {"start": 2079.35, "end": 2079.65, "word": " بي", "probability": 0.85888671875}, {"start": 2079.65, "end": 2079.85, "word": " اللي", "probability": 0.89404296875}, {"start": 2079.85, "end": 2080.25, "word": " هو", "probability": 0.9677734375}, {"start": 2080.25, "end": 2081.09, "word": " اتنين", "probability": 0.764251708984375}, {"start": 2081.09, "end": 2081.83, "word": " بي", "probability": 0.97265625}, {"start": 2081.83, "end": 2082.31, "word": " اتدلق", "probability": 0.586083984375}, {"start": 2082.31, "end": 2083.07, "word": " الاخر", "probability": 0.7130940755208334}], "temperature": 1.0}, {"id": 89, "seek": 210554, "start": 2084.2, "end": 2105.54, "text": "للمستطيل يبقى A المسافة من هنا لهنا B المسافة من هنا لهنا C المسافة من النقطة هذه لغاية مين لغاية البقرة اللي عنانا يبقى عرفنا شكل ال A وشكل ال B وشكل ال C و ال asymptotes كمان طب مش هذه خطوط مستقيمة؟", "tokens": [1211, 19528, 14851, 9566, 26895, 7251, 3555, 4587, 7578, 316, 9673, 3794, 31845, 3660, 9154, 34105, 46740, 8315, 363, 9673, 3794, 31845, 3660, 9154, 34105, 46740, 8315, 383, 9673, 3794, 31845, 3660, 9154, 28239, 47432, 3660, 29538, 5296, 17082, 995, 10632, 3714, 9957, 5296, 17082, 995, 10632, 29739, 4587, 25720, 13672, 1829, 18871, 7649, 995, 7251, 3555, 4587, 7578, 6225, 28480, 8315, 13412, 28820, 2423, 316, 4032, 8592, 28820, 2423, 363, 4032, 8592, 28820, 2423, 383, 4032, 2423, 35114, 17251, 9122, 2304, 7649, 23032, 3555, 37893, 29538, 16490, 9566, 2407, 9566, 3714, 14851, 4587, 32640, 3660, 22807], "avg_logprob": -0.1862244861466544, "compression_ratio": 1.9322033898305084, "no_speech_prob": 0.0, "words": [{"start": 2084.2, "end": 2085.12, "word": "للمستطيل", "probability": 0.708837890625}, {"start": 2085.12, "end": 2086.04, "word": " يبقى", "probability": 0.9058837890625}, {"start": 2086.04, "end": 2086.32, "word": " A", "probability": 0.48291015625}, {"start": 2086.32, "end": 2086.98, "word": " المسافة", "probability": 0.9661865234375}, {"start": 2086.98, "end": 2087.14, "word": " من", "probability": 0.955078125}, {"start": 2087.14, "end": 2087.38, "word": " هنا", "probability": 0.98828125}, {"start": 2087.38, "end": 2087.92, "word": " لهنا", "probability": 0.83154296875}, {"start": 2087.92, "end": 2088.6, "word": " B", "probability": 0.191162109375}, {"start": 2088.6, "end": 2089.32, "word": " المسافة", "probability": 0.9825439453125}, {"start": 2089.32, "end": 2089.48, "word": " من", "probability": 0.97998046875}, {"start": 2089.48, "end": 2089.74, "word": " هنا", "probability": 0.98876953125}, {"start": 2089.74, "end": 2090.26, "word": " لهنا", "probability": 0.941650390625}, {"start": 2090.26, "end": 2090.9, "word": " C", "probability": 0.8447265625}, {"start": 2090.9, "end": 2091.68, "word": " المسافة", "probability": 0.98876953125}, {"start": 2091.68, "end": 2091.8, "word": " من", "probability": 0.96826171875}, {"start": 2091.8, "end": 2092.26, "word": " النقطة", "probability": 0.92626953125}, {"start": 2092.26, "end": 2092.48, "word": " هذه", "probability": 0.8388671875}, {"start": 2092.48, "end": 2092.84, "word": " لغاية", "probability": 0.975830078125}, {"start": 2092.84, "end": 2093.2, "word": " مين", "probability": 0.808837890625}, {"start": 2093.2, "end": 2093.92, "word": " لغاية", "probability": 0.902587890625}, {"start": 2093.92, "end": 2094.6, "word": " البقرة", "probability": 0.8518880208333334}, {"start": 2094.6, "end": 2095.08, "word": " اللي", "probability": 0.819580078125}, {"start": 2095.08, "end": 2095.58, "word": " عنانا", "probability": 0.4911295572916667}, {"start": 2095.58, "end": 2096.16, "word": " يبقى", "probability": 0.9515380859375}, {"start": 2096.16, "end": 2096.56, "word": " عرفنا", "probability": 0.8948567708333334}, {"start": 2096.56, "end": 2097.0, "word": " شكل", "probability": 0.946533203125}, {"start": 2097.0, "end": 2097.2, "word": " ال", "probability": 0.802734375}, {"start": 2097.2, "end": 2097.56, "word": " A", "probability": 0.64111328125}, {"start": 2097.56, "end": 2098.36, "word": " وشكل", "probability": 0.77197265625}, {"start": 2098.36, "end": 2098.54, "word": " ال", "probability": 0.96923828125}, {"start": 2098.54, "end": 2098.9, "word": " B", "probability": 0.95556640625}, {"start": 2098.9, "end": 2099.88, "word": " وشكل", "probability": 0.9547526041666666}, {"start": 2099.88, "end": 2100.1, "word": " ال", "probability": 0.95654296875}, {"start": 2100.1, "end": 2100.46, "word": " C", "probability": 0.96923828125}, {"start": 2100.46, "end": 2101.02, "word": " و", "probability": 0.7158203125}, {"start": 2101.02, "end": 2101.26, "word": " ال", "probability": 0.427001953125}, {"start": 2101.26, "end": 2102.18, "word": " asymptotes", "probability": 0.679443359375}, {"start": 2102.18, "end": 2102.64, "word": " كمان", "probability": 0.9820963541666666}, {"start": 2102.64, "end": 2103.48, "word": " طب", "probability": 0.6123046875}, {"start": 2103.48, "end": 2103.66, "word": " مش", "probability": 0.97802734375}, {"start": 2103.66, "end": 2103.94, "word": " هذه", "probability": 0.47119140625}, {"start": 2103.94, "end": 2104.42, "word": " خطوط", "probability": 0.9813232421875}, {"start": 2104.42, "end": 2105.54, "word": " مستقيمة؟", "probability": 0.9698893229166666}], "temperature": 1.0}, {"id": 90, "seek": 212717, "start": 2106.84, "end": 2127.18, "text": "فعلا؟ إذا الها معادلة، بدي أعرف ما هو شكل معادل ال symptoms.بنقول لك بسيطة جدا، يبقى هنا to get the symptoms right أكتر", "tokens": [5172, 3615, 15040, 22807, 11933, 15730, 2423, 11296, 20449, 18513, 37977, 12399, 4724, 16254, 5551, 3615, 28480, 19446, 31439, 13412, 28820, 20449, 18513, 1211, 2423, 8332, 13, 3555, 1863, 39648, 5296, 4117, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 12399, 7251, 3555, 4587, 7578, 34105, 281, 483, 264, 8332, 558, 5551, 4117, 2655, 2288], "avg_logprob": -0.2839488777247342, "compression_ratio": 1.273972602739726, "no_speech_prob": 0.0, "words": [{"start": 2106.84, "end": 2107.62, "word": "فعلا؟", "probability": 0.5679931640625}, {"start": 2107.62, "end": 2108.36, "word": " إذا", "probability": 0.73193359375}, {"start": 2108.36, "end": 2108.94, "word": " الها", "probability": 0.3797607421875}, {"start": 2108.94, "end": 2110.02, "word": " معادلة،", "probability": 0.9283447265625}, {"start": 2110.02, "end": 2110.5, "word": " بدي", "probability": 0.6201171875}, {"start": 2110.5, "end": 2110.94, "word": " أعرف", "probability": 0.94189453125}, {"start": 2110.94, "end": 2111.32, "word": " ما", "probability": 0.95703125}, {"start": 2111.32, "end": 2111.8, "word": " هو", "probability": 0.94189453125}, {"start": 2111.8, "end": 2112.3, "word": " شكل", "probability": 0.947509765625}, {"start": 2112.3, "end": 2112.96, "word": " معادل", "probability": 0.9306640625}, {"start": 2112.96, "end": 2113.18, "word": " ال", "probability": 0.68212890625}, {"start": 2113.18, "end": 2113.64, "word": " symptoms", "probability": 0.407958984375}, {"start": 2113.64, "end": 2114.44, "word": ".بنقول", "probability": 0.622802734375}, {"start": 2114.44, "end": 2114.64, "word": " لك", "probability": 0.795654296875}, {"start": 2114.64, "end": 2115.3, "word": " بسيطة", "probability": 0.94775390625}, {"start": 2115.3, "end": 2116.14, "word": " جدا،", "probability": 0.8212076822916666}, {"start": 2116.14, "end": 2116.72, "word": " يبقى", "probability": 0.9774169921875}, {"start": 2116.72, "end": 2117.08, "word": " هنا", "probability": 0.966796875}, {"start": 2117.08, "end": 2117.52, "word": " to", "probability": 0.74658203125}, {"start": 2117.52, "end": 2118.2, "word": " get", "probability": 0.9521484375}, {"start": 2118.2, "end": 2120.56, "word": " the", "probability": 0.75634765625}, {"start": 2120.56, "end": 2122.92, "word": " symptoms", "probability": 0.68994140625}, {"start": 2122.92, "end": 2126.32, "word": " right", "probability": 0.86767578125}, {"start": 2126.32, "end": 2127.18, "word": " أكتر", "probability": 0.8671875}], "temperature": 1.0}, {"id": 91, "seek": 214892, "start": 2127.99, "end": 2148.93, "text": "بتجي على المعادلة X تربيع على A تربيع ناقص Y تربيع على B تربيع تسوى Zero يعني شيل الواحد و حط مكانه موجدهاش Zero تعالى نحل المعادلة هذه يبقى Y تربيع يسوى B تربيع على A تربيع في ال X تربيع", "tokens": [3555, 2655, 7435, 1829, 15844, 9673, 3615, 18513, 37977, 1783, 6055, 2288, 21292, 3615, 15844, 316, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 398, 6055, 2288, 21292, 3615, 15844, 363, 6055, 2288, 21292, 3615, 6055, 3794, 2407, 7578, 17182, 37495, 22653, 13412, 26895, 2423, 14407, 24401, 4032, 11331, 9566, 3714, 41361, 3224, 3714, 29245, 3215, 3224, 33599, 17182, 37279, 6027, 7578, 8717, 5016, 1211, 9673, 3615, 18513, 37977, 29538, 7251, 3555, 4587, 7578, 398, 6055, 2288, 21292, 3615, 7251, 3794, 2407, 7578, 363, 6055, 2288, 21292, 3615, 15844, 316, 6055, 2288, 21292, 3615, 8978, 2423, 1783, 6055, 2288, 21292, 3615], "avg_logprob": -0.20971201462488548, "compression_ratio": 1.9390243902439024, "no_speech_prob": 0.0, "words": [{"start": 2127.99, "end": 2128.61, "word": "بتجي", "probability": 0.59844970703125}, {"start": 2128.61, "end": 2128.81, "word": " على", "probability": 0.88427734375}, {"start": 2128.81, "end": 2129.69, "word": " المعادلة", "probability": 0.9471435546875}, {"start": 2129.69, "end": 2130.15, "word": " X", "probability": 0.322021484375}, {"start": 2130.15, "end": 2130.77, "word": " تربيع", "probability": 0.55999755859375}, {"start": 2130.77, "end": 2131.07, "word": " على", "probability": 0.70751953125}, {"start": 2131.07, "end": 2131.27, "word": " A", "probability": 0.83447265625}, {"start": 2131.27, "end": 2131.95, "word": " تربيع", "probability": 0.9140625}, {"start": 2131.95, "end": 2132.65, "word": " ناقص", "probability": 0.8668212890625}, {"start": 2132.65, "end": 2132.83, "word": " Y", "probability": 0.93017578125}, {"start": 2132.83, "end": 2133.39, "word": " تربيع", "probability": 0.935546875}, {"start": 2133.39, "end": 2133.61, "word": " على", "probability": 0.87646484375}, {"start": 2133.61, "end": 2133.81, "word": " B", "probability": 0.923828125}, {"start": 2133.81, "end": 2134.47, "word": " تربيع", "probability": 0.9390869140625}, {"start": 2134.47, "end": 2135.45, "word": " تسوى", "probability": 0.7620849609375}, {"start": 2135.45, "end": 2135.81, "word": " Zero", "probability": 0.548828125}, {"start": 2135.81, "end": 2136.51, "word": " يعني", "probability": 0.81201171875}, {"start": 2136.51, "end": 2137.01, "word": " شيل", "probability": 0.744384765625}, {"start": 2137.01, "end": 2137.73, "word": " الواحد", "probability": 0.9137369791666666}, {"start": 2137.73, "end": 2137.87, "word": " و", "probability": 0.966796875}, {"start": 2137.87, "end": 2138.11, "word": " حط", "probability": 0.52734375}, {"start": 2138.11, "end": 2138.53, "word": " مكانه", "probability": 0.8523763020833334}, {"start": 2138.53, "end": 2139.19, "word": " موجدهاش", "probability": 0.506787109375}, {"start": 2139.19, "end": 2140.01, "word": " Zero", "probability": 0.56494140625}, {"start": 2140.01, "end": 2140.87, "word": " تعالى", "probability": 0.8917643229166666}, {"start": 2140.87, "end": 2141.23, "word": " نحل", "probability": 0.9267578125}, {"start": 2141.23, "end": 2141.99, "word": " المعادلة", "probability": 0.986083984375}, {"start": 2141.99, "end": 2142.43, "word": " هذه", "probability": 0.650390625}, {"start": 2142.43, "end": 2143.35, "word": " يبقى", "probability": 0.96728515625}, {"start": 2143.35, "end": 2143.69, "word": " Y", "probability": 0.97314453125}, {"start": 2143.69, "end": 2144.59, "word": " تربيع", "probability": 0.9388427734375}, {"start": 2144.59, "end": 2145.39, "word": " يسوى", "probability": 0.922119140625}, {"start": 2145.39, "end": 2145.63, "word": " B", "probability": 0.955078125}, {"start": 2145.63, "end": 2146.41, "word": " تربيع", "probability": 0.9658203125}, {"start": 2146.41, "end": 2146.79, "word": " على", "probability": 0.904296875}, {"start": 2146.79, "end": 2147.17, "word": " A", "probability": 0.9912109375}, {"start": 2147.17, "end": 2147.77, "word": " تربيع", "probability": 0.962890625}, {"start": 2147.77, "end": 2147.93, "word": " في", "probability": 0.66552734375}, {"start": 2147.93, "end": 2148.07, "word": " ال", "probability": 0.497314453125}, {"start": 2148.07, "end": 2148.31, "word": " X", "probability": 0.90380859375}, {"start": 2148.31, "end": 2148.93, "word": " تربيع", "probability": 0.9398193359375}], "temperature": 1.0}, {"id": 92, "seek": 217084, "start": 2149.62, "end": 2170.84, "text": "خُد الجذر التربيعي للطرفين يبقى Y يسوى ز أو ناقص B على A في ال X يبقى الاسمتتة الأول هذا Y يسوى B على A في ال X والاسمتتة التانية Y تسوى سالب B على A في ال X", "tokens": [9778, 10859, 3215, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 1829, 24976, 9566, 28480, 9957, 7251, 3555, 4587, 7578, 398, 7251, 3794, 2407, 7578, 30767, 34051, 8717, 995, 4587, 9381, 363, 15844, 316, 8978, 2423, 1783, 7251, 3555, 4587, 7578, 2423, 32277, 2304, 2655, 2655, 3660, 16247, 12610, 23758, 398, 7251, 3794, 2407, 7578, 363, 15844, 316, 8978, 2423, 1783, 16070, 32277, 2304, 2655, 2655, 3660, 16712, 7649, 10632, 398, 6055, 3794, 2407, 7578, 8608, 6027, 3555, 363, 15844, 316, 8978, 2423, 1783], "avg_logprob": -0.18405878561593236, "compression_ratio": 1.872340425531915, "no_speech_prob": 0.0, "words": [{"start": 2149.62, "end": 2150.12, "word": "خُد", "probability": 0.6334635416666666}, {"start": 2150.12, "end": 2150.68, "word": " الجذر", "probability": 0.9112955729166666}, {"start": 2150.68, "end": 2151.58, "word": " التربيعي", "probability": 0.8802734375}, {"start": 2151.58, "end": 2152.6, "word": " للطرفين", "probability": 0.9556884765625}, {"start": 2152.6, "end": 2153.66, "word": " يبقى", "probability": 0.947998046875}, {"start": 2153.66, "end": 2153.88, "word": " Y", "probability": 0.455810546875}, {"start": 2153.88, "end": 2154.5, "word": " يسوى", "probability": 0.62152099609375}, {"start": 2154.5, "end": 2154.76, "word": " ز", "probability": 0.5439453125}, {"start": 2154.76, "end": 2155.18, "word": " أو", "probability": 0.5283203125}, {"start": 2155.18, "end": 2155.82, "word": " ناقص", "probability": 0.905029296875}, {"start": 2155.82, "end": 2156.18, "word": " B", "probability": 0.439453125}, {"start": 2156.18, "end": 2156.84, "word": " على", "probability": 0.63671875}, {"start": 2156.84, "end": 2157.48, "word": " A", "probability": 0.830078125}, {"start": 2157.48, "end": 2158.16, "word": " في", "probability": 0.62890625}, {"start": 2158.16, "end": 2158.4, "word": " ال", "probability": 0.72119140625}, {"start": 2158.4, "end": 2158.74, "word": " X", "probability": 0.66064453125}, {"start": 2158.74, "end": 2159.46, "word": " يبقى", "probability": 0.962158203125}, {"start": 2159.46, "end": 2160.26, "word": " الاسمتتة", "probability": 0.6700032552083334}, {"start": 2160.26, "end": 2160.78, "word": " الأول", "probability": 0.944580078125}, {"start": 2160.78, "end": 2161.24, "word": " هذا", "probability": 0.7578125}, {"start": 2161.24, "end": 2161.92, "word": " Y", "probability": 0.9697265625}, {"start": 2161.92, "end": 2163.12, "word": " يسوى", "probability": 0.9345703125}, {"start": 2163.12, "end": 2163.64, "word": " B", "probability": 0.9521484375}, {"start": 2163.64, "end": 2164.42, "word": " على", "probability": 0.8720703125}, {"start": 2164.42, "end": 2164.9, "word": " A", "probability": 0.9912109375}, {"start": 2164.9, "end": 2165.06, "word": " في", "probability": 0.9560546875}, {"start": 2165.06, "end": 2165.16, "word": " ال", "probability": 0.8828125}, {"start": 2165.16, "end": 2165.46, "word": " X", "probability": 0.98828125}, {"start": 2165.46, "end": 2166.82, "word": " والاسمتتة", "probability": 0.9180501302083334}, {"start": 2166.82, "end": 2167.28, "word": " التانية", "probability": 0.9083658854166666}, {"start": 2167.28, "end": 2167.62, "word": " Y", "probability": 0.94580078125}, {"start": 2167.62, "end": 2168.28, "word": " تسوى", "probability": 0.935791015625}, {"start": 2168.28, "end": 2169.02, "word": " سالب", "probability": 0.740234375}, {"start": 2169.02, "end": 2169.44, "word": " B", "probability": 0.9501953125}, {"start": 2169.44, "end": 2169.88, "word": " على", "probability": 0.9248046875}, {"start": 2169.88, "end": 2170.34, "word": " A", "probability": 0.99365234375}, {"start": 2170.34, "end": 2170.5, "word": " في", "probability": 0.9716796875}, {"start": 2170.5, "end": 2170.58, "word": " ال", "probability": 0.900390625}, {"start": 2170.58, "end": 2170.84, "word": " X", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 93, "seek": 219140, "start": 2171.4, "end": 2191.4, "text": "طبعا ربما يسأل بعضكم السؤال التالي، ليه أخدت هذا الاسم تت بالموجب و هذا بالسالب؟ أقول لهم بسيطة، تطلع للمال، هل المال موجب و الله سالب؟ هذا الاسم تت فيعمل ليه زاوية حادة مع الاتجاه الموجب؟", "tokens": [9566, 3555, 3615, 995, 12602, 3555, 15042, 7251, 3794, 10721, 1211, 45030, 11242, 24793, 21136, 33604, 6027, 16712, 6027, 1829, 12399, 32239, 3224, 5551, 9778, 3215, 2655, 23758, 2423, 32277, 2304, 6055, 2655, 20666, 2304, 29245, 3555, 4032, 23758, 20666, 3794, 6027, 3555, 22807, 5551, 39648, 5296, 16095, 4724, 3794, 1829, 9566, 3660, 12399, 6055, 9566, 1211, 3615, 24976, 2304, 6027, 12399, 8032, 1211, 9673, 6027, 3714, 29245, 3555, 4032, 21984, 8608, 6027, 3555, 22807, 23758, 2423, 32277, 2304, 6055, 2655, 8978, 25957, 1211, 32239, 3224, 30767, 995, 2407, 10632, 11331, 18513, 3660, 20449, 2423, 9307, 7435, 40294, 9673, 29245, 3555, 22807], "avg_logprob": -0.184010918279296, "compression_ratio": 1.926553672316384, "no_speech_prob": 0.0, "words": [{"start": 2171.4, "end": 2171.98, "word": "طبعا", "probability": 0.935791015625}, {"start": 2171.98, "end": 2173.02, "word": " ربما", "probability": 0.8992513020833334}, {"start": 2173.02, "end": 2173.7, "word": " يسأل", "probability": 0.9700927734375}, {"start": 2173.7, "end": 2174.26, "word": " بعضكم", "probability": 0.98193359375}, {"start": 2174.26, "end": 2174.88, "word": " السؤال", "probability": 0.9772135416666666}, {"start": 2174.88, "end": 2175.76, "word": " التالي،", "probability": 0.75067138671875}, {"start": 2175.76, "end": 2176.24, "word": " ليه", "probability": 0.87451171875}, {"start": 2176.24, "end": 2176.82, "word": " أخدت", "probability": 0.78082275390625}, {"start": 2176.82, "end": 2177.08, "word": " هذا", "probability": 0.80712890625}, {"start": 2177.08, "end": 2177.52, "word": " الاسم", "probability": 0.8561197916666666}, {"start": 2177.52, "end": 2177.78, "word": " تت", "probability": 0.3760986328125}, {"start": 2177.78, "end": 2178.4, "word": " بالموجب", "probability": 0.8876953125}, {"start": 2178.4, "end": 2178.54, "word": " و", "probability": 0.50537109375}, {"start": 2178.54, "end": 2178.92, "word": " هذا", "probability": 0.9228515625}, {"start": 2178.92, "end": 2181.1, "word": " بالسالب؟", "probability": 0.8921875}, {"start": 2181.1, "end": 2181.3, "word": " أقول", "probability": 0.63671875}, {"start": 2181.3, "end": 2181.5, "word": " لهم", "probability": 0.841064453125}, {"start": 2181.5, "end": 2182.54, "word": " بسيطة،", "probability": 0.9248046875}, {"start": 2182.54, "end": 2183.22, "word": " تطلع", "probability": 0.8758544921875}, {"start": 2183.22, "end": 2183.86, "word": " للمال،", "probability": 0.73834228515625}, {"start": 2183.86, "end": 2184.08, "word": " هل", "probability": 0.973388671875}, {"start": 2184.08, "end": 2184.44, "word": " المال", "probability": 0.9873046875}, {"start": 2184.44, "end": 2185.0, "word": " موجب", "probability": 0.9952799479166666}, {"start": 2185.0, "end": 2185.14, "word": " و", "probability": 0.74267578125}, {"start": 2185.14, "end": 2185.38, "word": " الله", "probability": 0.4287109375}, {"start": 2185.38, "end": 2186.44, "word": " سالب؟", "probability": 0.9739990234375}, {"start": 2186.44, "end": 2186.72, "word": " هذا", "probability": 0.71484375}, {"start": 2186.72, "end": 2187.18, "word": " الاسم", "probability": 0.9690755208333334}, {"start": 2187.18, "end": 2187.42, "word": " تت", "probability": 0.956298828125}, {"start": 2187.42, "end": 2187.9, "word": " فيعمل", "probability": 0.7081705729166666}, {"start": 2187.9, "end": 2188.2, "word": " ليه", "probability": 0.454833984375}, {"start": 2188.2, "end": 2188.88, "word": " زاوية", "probability": 0.9400634765625}, {"start": 2188.88, "end": 2189.64, "word": " حادة", "probability": 0.9352213541666666}, {"start": 2189.64, "end": 2189.82, "word": " مع", "probability": 0.86865234375}, {"start": 2189.82, "end": 2190.48, "word": " الاتجاه", "probability": 0.84368896484375}, {"start": 2190.48, "end": 2191.4, "word": " الموجب؟", "probability": 0.9864501953125}], "temperature": 1.0}, {"id": 94, "seek": 220998, "start": 2191.44, "end": 2209.98, "text": "للـ X Axis، غُل الزاوية الحدد يساوي قيمة موجبة، هذا الـ X Axis التاني بيعملي الزاوية منفرجة، غُل الزاوية المنفرجة بيعطيني إشارة مين؟ إشارة سالب، يبقى هذا كل ما يتعلق بالـ hyperbola الأولى", "tokens": [1211, 1211, 39184, 1783, 20118, 271, 12399, 32771, 10859, 1211, 6024, 110, 995, 2407, 10632, 21542, 3215, 3215, 7251, 3794, 995, 45865, 12174, 32640, 3660, 3714, 29245, 49401, 12399, 23758, 2423, 39184, 1783, 20118, 271, 16712, 7649, 1829, 4724, 1829, 25957, 20292, 6024, 110, 995, 2407, 10632, 9154, 5172, 47341, 3660, 12399, 32771, 10859, 1211, 6024, 110, 995, 2407, 10632, 9673, 1863, 5172, 47341, 3660, 4724, 1829, 3615, 9566, 1829, 22653, 11933, 8592, 9640, 3660, 3714, 9957, 22807, 11933, 8592, 9640, 3660, 8608, 6027, 3555, 12399, 7251, 3555, 4587, 7578, 23758, 28242, 19446, 7251, 2655, 30241, 4587, 20666, 39184, 9848, 65, 4711, 16247, 12610, 7578], "avg_logprob": -0.2973172223230578, "compression_ratio": 1.7180851063829787, "no_speech_prob": 0.0, "words": [{"start": 2191.44, "end": 2191.86, "word": "للـ", "probability": 0.33172607421875}, {"start": 2191.86, "end": 2192.14, "word": " X", "probability": 0.50927734375}, {"start": 2192.14, "end": 2193.06, "word": " Axis،", "probability": 0.4912516276041667}, {"start": 2193.06, "end": 2193.32, "word": " غُل", "probability": 0.5143229166666666}, {"start": 2193.32, "end": 2193.82, "word": " الزاوية", "probability": 0.8219482421875}, {"start": 2193.82, "end": 2194.24, "word": " الحدد", "probability": 0.5913899739583334}, {"start": 2194.24, "end": 2194.64, "word": " يساوي", "probability": 0.779296875}, {"start": 2194.64, "end": 2195.3, "word": " قيمة", "probability": 0.98095703125}, {"start": 2195.3, "end": 2196.82, "word": " موجبة،", "probability": 0.72711181640625}, {"start": 2196.82, "end": 2197.26, "word": " هذا", "probability": 0.8818359375}, {"start": 2197.26, "end": 2197.4, "word": " الـ", "probability": 0.7939453125}, {"start": 2197.4, "end": 2197.62, "word": " X", "probability": 0.46630859375}, {"start": 2197.62, "end": 2197.82, "word": " Axis", "probability": 0.60955810546875}, {"start": 2197.82, "end": 2198.14, "word": " التاني", "probability": 0.880859375}, {"start": 2198.14, "end": 2198.62, "word": " بيعملي", "probability": 0.63323974609375}, {"start": 2198.62, "end": 2199.48, "word": " الزاوية", "probability": 0.889501953125}, {"start": 2199.48, "end": 2200.78, "word": " منفرجة،", "probability": 0.9259765625}, {"start": 2200.78, "end": 2201.04, "word": " غُل", "probability": 0.88623046875}, {"start": 2201.04, "end": 2201.48, "word": " الزاوية", "probability": 0.9837890625}, {"start": 2201.48, "end": 2202.02, "word": " المنفرجة", "probability": 0.98515625}, {"start": 2202.02, "end": 2202.46, "word": " بيعطيني", "probability": 0.8068033854166666}, {"start": 2202.46, "end": 2202.92, "word": " إشارة", "probability": 0.9549560546875}, {"start": 2202.92, "end": 2203.82, "word": " مين؟", "probability": 0.7428385416666666}, {"start": 2203.82, "end": 2204.82, "word": " إشارة", "probability": 0.988037109375}, {"start": 2204.82, "end": 2206.1, "word": " سالب،", "probability": 0.7904052734375}, {"start": 2206.1, "end": 2206.36, "word": " يبقى", "probability": 0.7625732421875}, {"start": 2206.36, "end": 2206.68, "word": " هذا", "probability": 0.9248046875}, {"start": 2206.68, "end": 2207.1, "word": " كل", "probability": 0.9716796875}, {"start": 2207.1, "end": 2207.38, "word": " ما", "probability": 0.95703125}, {"start": 2207.38, "end": 2208.1, "word": " يتعلق", "probability": 0.881103515625}, {"start": 2208.1, "end": 2208.4, "word": " بالـ", "probability": 0.84619140625}, {"start": 2208.4, "end": 2209.14, "word": " hyperbola", "probability": 0.5406901041666666}, {"start": 2209.14, "end": 2209.98, "word": " الأولى", "probability": 0.99267578125}], "temperature": 1.0}, {"id": 95, "seek": 223367, "start": 2210.23, "end": 2233.67, "text": "لو كان ال major axis أوي هنسميه ال focal axis هو محور X يبقى هذا اللي اسمه ال focal axis اللي هو محور القطبي ليش المحور قطبي لأنه مرة بالبقرتين يا بسميه focal axis يا بسميه ال major axis", "tokens": [1211, 2407, 25961, 2423, 2563, 10298, 34051, 1829, 8032, 1863, 38251, 1829, 3224, 2423, 26592, 10298, 31439, 3714, 5016, 13063, 1783, 7251, 3555, 4587, 7578, 23758, 13672, 1829, 24525, 2304, 3224, 2423, 26592, 10298, 13672, 1829, 31439, 3714, 5016, 13063, 25062, 9566, 21292, 32239, 8592, 9673, 5016, 13063, 12174, 9566, 21292, 5296, 33456, 3224, 3714, 25720, 20666, 3555, 4587, 43500, 9957, 35186, 4724, 38251, 1829, 3224, 26592, 10298, 35186, 4724, 38251, 1829, 3224, 2423, 2563, 10298], "avg_logprob": -0.1821225688054964, "compression_ratio": 1.8580645161290323, "no_speech_prob": 0.0, "words": [{"start": 2210.23, "end": 2210.69, "word": "لو", "probability": 0.81787109375}, {"start": 2210.69, "end": 2210.99, "word": " كان", "probability": 0.984375}, {"start": 2210.99, "end": 2211.19, "word": " ال", "probability": 0.7109375}, {"start": 2211.19, "end": 2211.53, "word": " major", "probability": 0.8203125}, {"start": 2211.53, "end": 2212.39, "word": " axis", "probability": 0.95947265625}, {"start": 2212.39, "end": 2213.01, "word": " أوي", "probability": 0.5098876953125}, {"start": 2213.01, "end": 2213.91, "word": " هنسميه", "probability": 0.75146484375}, {"start": 2213.91, "end": 2214.03, "word": " ال", "probability": 0.9130859375}, {"start": 2214.03, "end": 2214.39, "word": " focal", "probability": 0.84375}, {"start": 2214.39, "end": 2215.11, "word": " axis", "probability": 0.9755859375}, {"start": 2215.11, "end": 2215.73, "word": " هو", "probability": 0.900390625}, {"start": 2215.73, "end": 2216.41, "word": " محور", "probability": 0.9788411458333334}, {"start": 2216.41, "end": 2216.83, "word": " X", "probability": 0.70703125}, {"start": 2216.83, "end": 2217.67, "word": " يبقى", "probability": 0.9068603515625}, {"start": 2217.67, "end": 2217.97, "word": " هذا", "probability": 0.95263671875}, {"start": 2217.97, "end": 2218.17, "word": " اللي", "probability": 0.908447265625}, {"start": 2218.17, "end": 2218.63, "word": " اسمه", "probability": 0.95947265625}, {"start": 2218.63, "end": 2218.79, "word": " ال", "probability": 0.96240234375}, {"start": 2218.79, "end": 2219.61, "word": " focal", "probability": 0.92919921875}, {"start": 2219.61, "end": 2221.17, "word": " axis", "probability": 0.96923828125}, {"start": 2221.17, "end": 2221.91, "word": " اللي", "probability": 0.7919921875}, {"start": 2221.91, "end": 2222.07, "word": " هو", "probability": 0.99072265625}, {"start": 2222.07, "end": 2222.85, "word": " محور", "probability": 0.9365234375}, {"start": 2222.85, "end": 2224.47, "word": " القطبي", "probability": 0.9646809895833334}, {"start": 2224.47, "end": 2225.39, "word": " ليش", "probability": 0.616455078125}, {"start": 2225.39, "end": 2225.91, "word": " المحور", "probability": 0.8986002604166666}, {"start": 2225.91, "end": 2226.23, "word": " قطبي", "probability": 0.8426106770833334}, {"start": 2226.23, "end": 2226.71, "word": " لأنه", "probability": 0.7049153645833334}, {"start": 2226.71, "end": 2227.25, "word": " مرة", "probability": 0.86279296875}, {"start": 2227.25, "end": 2229.07, "word": " بالبقرتين", "probability": 0.820166015625}, {"start": 2229.07, "end": 2229.69, "word": " يا", "probability": 0.5458984375}, {"start": 2229.69, "end": 2230.39, "word": " بسميه", "probability": 0.98095703125}, {"start": 2230.39, "end": 2230.81, "word": " focal", "probability": 0.67578125}, {"start": 2230.81, "end": 2231.33, "word": " axis", "probability": 0.96337890625}, {"start": 2231.33, "end": 2231.57, "word": " يا", "probability": 0.94482421875}, {"start": 2231.57, "end": 2232.17, "word": " بسميه", "probability": 0.994384765625}, {"start": 2232.17, "end": 2232.29, "word": " ال", "probability": 0.478271484375}, {"start": 2232.29, "end": 2232.59, "word": " major", "probability": 0.9560546875}, {"start": 2232.59, "end": 2233.67, "word": " axis", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 96, "seek": 225794, "start": 2233.88, "end": 2257.94, "text": "وهذا التاني بسميه ال minor axis اللي هو المحور الثاني طب لو كانت الرسمة على محور Y يعني لو صارت الرسمة بالشكل هذا هيك وده رسمنا المنحنة فصار بالشكل هذا والنصف التاني بالشكل اللي عندنا هذا هيك", "tokens": [2407, 3224, 15730, 16712, 7649, 1829, 4724, 38251, 1829, 3224, 2423, 6696, 10298, 13672, 1829, 31439, 9673, 5016, 13063, 6024, 104, 7649, 1829, 23032, 3555, 45164, 25961, 2655, 34892, 38251, 3660, 15844, 3714, 5016, 13063, 398, 37495, 22653, 45164, 20328, 9640, 2655, 34892, 38251, 3660, 20666, 8592, 28820, 23758, 39896, 4117, 4032, 3215, 3224, 12602, 38251, 8315, 9673, 1863, 5016, 1863, 3660, 6156, 9381, 9640, 20666, 8592, 28820, 23758, 16070, 1863, 9381, 5172, 16712, 7649, 1829, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 39896, 4117], "avg_logprob": -0.187140798089148, "compression_ratio": 1.9310344827586208, "no_speech_prob": 0.0, "words": [{"start": 2233.88, "end": 2234.72, "word": "وهذا", "probability": 0.6605631510416666}, {"start": 2234.72, "end": 2235.26, "word": " التاني", "probability": 0.86572265625}, {"start": 2235.26, "end": 2235.86, "word": " بسميه", "probability": 0.866455078125}, {"start": 2235.86, "end": 2236.04, "word": " ال", "probability": 0.4365234375}, {"start": 2236.04, "end": 2236.46, "word": " minor", "probability": 0.5322265625}, {"start": 2236.46, "end": 2237.24, "word": " axis", "probability": 0.92041015625}, {"start": 2237.24, "end": 2237.76, "word": " اللي", "probability": 0.5860595703125}, {"start": 2237.76, "end": 2237.92, "word": " هو", "probability": 0.98828125}, {"start": 2237.92, "end": 2238.62, "word": " المحور", "probability": 0.9012044270833334}, {"start": 2238.62, "end": 2239.46, "word": " الثاني", "probability": 0.6956787109375}, {"start": 2239.46, "end": 2240.12, "word": " طب", "probability": 0.87060546875}, {"start": 2240.12, "end": 2240.4, "word": " لو", "probability": 0.98583984375}, {"start": 2240.4, "end": 2240.86, "word": " كانت", "probability": 0.92578125}, {"start": 2240.86, "end": 2241.44, "word": " الرسمة", "probability": 0.9635416666666666}, {"start": 2241.44, "end": 2241.72, "word": " على", "probability": 0.82373046875}, {"start": 2241.72, "end": 2242.32, "word": " محور", "probability": 0.986328125}, {"start": 2242.32, "end": 2242.88, "word": " Y", "probability": 0.810546875}, {"start": 2242.88, "end": 2243.96, "word": " يعني", "probability": 0.872802734375}, {"start": 2243.96, "end": 2244.76, "word": " لو", "probability": 0.96533203125}, {"start": 2244.76, "end": 2245.24, "word": " صارت", "probability": 0.7837727864583334}, {"start": 2245.24, "end": 2246.06, "word": " الرسمة", "probability": 0.9876302083333334}, {"start": 2246.06, "end": 2246.86, "word": " بالشكل", "probability": 0.9524739583333334}, {"start": 2246.86, "end": 2247.16, "word": " هذا", "probability": 0.84765625}, {"start": 2247.16, "end": 2247.8, "word": " هيك", "probability": 0.763916015625}, {"start": 2247.8, "end": 2249.94, "word": " وده", "probability": 0.5760904947916666}, {"start": 2249.94, "end": 2250.66, "word": " رسمنا", "probability": 0.8126627604166666}, {"start": 2250.66, "end": 2251.48, "word": " المنحنة", "probability": 0.83857421875}, {"start": 2251.48, "end": 2252.42, "word": " فصار", "probability": 0.8956705729166666}, {"start": 2252.42, "end": 2253.0, "word": " بالشكل", "probability": 0.9791666666666666}, {"start": 2253.0, "end": 2253.44, "word": " هذا", "probability": 0.9619140625}, {"start": 2253.44, "end": 2254.78, "word": " والنصف", "probability": 0.83343505859375}, {"start": 2254.78, "end": 2255.54, "word": " التاني", "probability": 0.9723307291666666}, {"start": 2255.54, "end": 2256.58, "word": " بالشكل", "probability": 0.9837239583333334}, {"start": 2256.58, "end": 2256.76, "word": " اللي", "probability": 0.97412109375}, {"start": 2256.76, "end": 2257.18, "word": " عندنا", "probability": 0.97021484375}, {"start": 2257.18, "end": 2257.52, "word": " هذا", "probability": 0.88916015625}, {"start": 2257.52, "end": 2257.94, "word": " هيك", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 97, "seek": 227963, "start": 2258.53, "end": 2279.63, "text": "تمام؟ هذا محور X هذا محور Y المعادلة بسيطة جدا الإشارة الموجبة لل X فكان فوق ال X محور X لو خلتي الإشارة الموجبة ل Y بصير Y تربيع على E تربيع", "tokens": [39237, 10943, 22807, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 9673, 3615, 18513, 37977, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 33688, 8592, 9640, 3660, 9673, 29245, 49401, 24976, 1783, 6156, 41361, 6156, 30543, 2423, 1783, 3714, 5016, 13063, 1783, 45164, 16490, 1211, 31371, 33688, 8592, 9640, 3660, 9673, 29245, 49401, 5296, 398, 4724, 9381, 13546, 398, 6055, 2288, 21292, 3615, 15844, 462, 6055, 2288, 21292, 3615], "avg_logprob": -0.15085827506763835, "compression_ratio": 1.7608695652173914, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2258.53, "end": 2259.65, "word": "تمام؟", "probability": 0.6435546875}, {"start": 2259.65, "end": 2260.07, "word": " هذا", "probability": 0.78271484375}, {"start": 2260.07, "end": 2260.65, "word": " محور", "probability": 0.9873046875}, {"start": 2260.65, "end": 2261.11, "word": " X", "probability": 0.8427734375}, {"start": 2261.11, "end": 2261.89, "word": " هذا", "probability": 0.413330078125}, {"start": 2261.89, "end": 2262.83, "word": " محور", "probability": 0.9918619791666666}, {"start": 2262.83, "end": 2263.63, "word": " Y", "probability": 0.99560546875}, {"start": 2263.63, "end": 2264.93, "word": " المعادلة", "probability": 0.9552001953125}, {"start": 2264.93, "end": 2265.53, "word": " بسيطة", "probability": 0.9865234375}, {"start": 2265.53, "end": 2265.93, "word": " جدا", "probability": 0.9912109375}, {"start": 2265.93, "end": 2267.29, "word": " الإشارة", "probability": 0.84600830078125}, {"start": 2267.29, "end": 2267.83, "word": " الموجبة", "probability": 0.8465169270833334}, {"start": 2267.83, "end": 2268.11, "word": " لل", "probability": 0.837890625}, {"start": 2268.11, "end": 2268.43, "word": " X", "probability": 0.826171875}, {"start": 2268.43, "end": 2268.97, "word": " فكان", "probability": 0.95068359375}, {"start": 2268.97, "end": 2269.45, "word": " فوق", "probability": 0.873779296875}, {"start": 2269.45, "end": 2269.63, "word": " ال", "probability": 0.83642578125}, {"start": 2269.63, "end": 2269.93, "word": " X", "probability": 0.76904296875}, {"start": 2269.93, "end": 2270.65, "word": " محور", "probability": 0.98046875}, {"start": 2270.65, "end": 2271.11, "word": " X", "probability": 0.98779296875}, {"start": 2271.11, "end": 2271.75, "word": " لو", "probability": 0.8515625}, {"start": 2271.75, "end": 2272.21, "word": " خلتي", "probability": 0.7583821614583334}, {"start": 2272.21, "end": 2272.83, "word": " الإشارة", "probability": 0.990478515625}, {"start": 2272.83, "end": 2273.43, "word": " الموجبة", "probability": 0.99267578125}, {"start": 2273.43, "end": 2273.81, "word": " ل", "probability": 0.80419921875}, {"start": 2273.81, "end": 2274.31, "word": " Y", "probability": 0.91259765625}, {"start": 2274.31, "end": 2275.73, "word": " بصير", "probability": 0.7146809895833334}, {"start": 2275.73, "end": 2276.55, "word": " Y", "probability": 0.97509765625}, {"start": 2276.55, "end": 2277.49, "word": " تربيع", "probability": 0.8292236328125}, {"start": 2277.49, "end": 2278.41, "word": " على", "probability": 0.7275390625}, {"start": 2278.41, "end": 2278.79, "word": " E", "probability": 0.65380859375}, {"start": 2278.79, "end": 2279.63, "word": " تربيع", "probability": 0.965576171875}], "temperature": 1.0}, {"id": 98, "seek": 229050, "start": 2279.86, "end": 2290.5, "text": "نقص X تربية على B تربية السامة واحد والمعادلة المرافقة زي ما هي لن تتغير", "tokens": [1863, 4587, 9381, 1783, 6055, 25513, 10632, 15844, 363, 6055, 25513, 10632, 21136, 995, 46007, 36764, 24401, 16070, 2304, 3615, 18513, 37977, 9673, 23557, 5172, 28671, 30767, 1829, 19446, 39896, 5296, 1863, 6055, 2655, 17082, 13546], "avg_logprob": -0.19436233269201741, "compression_ratio": 1.3195876288659794, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2279.86, "end": 2280.62, "word": "نقص", "probability": 0.771484375}, {"start": 2280.62, "end": 2280.98, "word": " X", "probability": 0.5791015625}, {"start": 2280.98, "end": 2281.64, "word": " تربية", "probability": 0.86181640625}, {"start": 2281.64, "end": 2282.24, "word": " على", "probability": 0.86328125}, {"start": 2282.24, "end": 2282.5, "word": " B", "probability": 0.544921875}, {"start": 2282.5, "end": 2283.0, "word": " تربية", "probability": 0.9611002604166666}, {"start": 2283.0, "end": 2283.48, "word": " السامة", "probability": 0.46484375}, {"start": 2283.48, "end": 2284.06, "word": " واحد", "probability": 0.91162109375}, {"start": 2284.06, "end": 2285.36, "word": " والمعادلة", "probability": 0.8826171875}, {"start": 2285.36, "end": 2286.58, "word": " المرافقة", "probability": 0.985595703125}, {"start": 2286.58, "end": 2287.56, "word": " زي", "probability": 0.952880859375}, {"start": 2287.56, "end": 2287.8, "word": " ما", "probability": 0.85498046875}, {"start": 2287.8, "end": 2288.16, "word": " هي", "probability": 0.556640625}, {"start": 2288.16, "end": 2289.24, "word": " لن", "probability": 0.964599609375}, {"start": 2289.24, "end": 2290.5, "word": " تتغير", "probability": 0.994140625}], "temperature": 1.0}, {"id": 99, "seek": 231231, "start": 2291.49, "end": 2312.31, "text": "تمام؟ كويس، يبقى بيبقى نيجي لمين؟ للاسم ده، يبقى الفرق ما بين ال high parabola و ال ellipse، ال ellipse بطل على صاحب المقام الكبير، لكن ال high parabola بطل على صاحب الإشارة الموجبة، قولها السؤال اللي زنجك هذا", "tokens": [2655, 15042, 2304, 22807, 9122, 45865, 3794, 12399, 7251, 3555, 4587, 7578, 4724, 1829, 3555, 4587, 7578, 8717, 1829, 7435, 1829, 32767, 9957, 22807, 24976, 32277, 2304, 11778, 3224, 12399, 7251, 3555, 4587, 7578, 27188, 2288, 4587, 19446, 49374, 2423, 1090, 45729, 4711, 4032, 2423, 8284, 48041, 12399, 2423, 8284, 48041, 4724, 9566, 1211, 15844, 20328, 39319, 3555, 9673, 4587, 10943, 33251, 3555, 13546, 12399, 44381, 2423, 1090, 45729, 4711, 4724, 9566, 1211, 15844, 20328, 39319, 3555, 33688, 8592, 9640, 3660, 9673, 29245, 49401, 12399, 12174, 12610, 11296, 21136, 33604, 6027, 13672, 1829, 30767, 1863, 7435, 4117, 23758], "avg_logprob": -0.2129103589539576, "compression_ratio": 1.7448979591836735, "no_speech_prob": 0.0, "words": [{"start": 2291.49, "end": 2292.45, "word": "تمام؟", "probability": 0.6679229736328125}, {"start": 2292.45, "end": 2293.29, "word": " كويس،", "probability": 0.74371337890625}, {"start": 2293.29, "end": 2293.69, "word": " يبقى", "probability": 0.9481201171875}, {"start": 2293.69, "end": 2294.01, "word": " بيبقى", "probability": 0.613720703125}, {"start": 2294.01, "end": 2294.31, "word": " نيجي", "probability": 0.9207763671875}, {"start": 2294.31, "end": 2294.97, "word": " لمين؟", "probability": 0.8683268229166666}, {"start": 2294.97, "end": 2295.71, "word": " للاسم", "probability": 0.6463623046875}, {"start": 2295.71, "end": 2295.85, "word": " ده،", "probability": 0.5946451822916666}, {"start": 2295.85, "end": 2296.29, "word": " يبقى", "probability": 0.9085693359375}, {"start": 2296.29, "end": 2296.97, "word": " الفرق", "probability": 0.97314453125}, {"start": 2296.97, "end": 2297.63, "word": " ما", "probability": 0.91748046875}, {"start": 2297.63, "end": 2298.05, "word": " بين", "probability": 0.98486328125}, {"start": 2298.05, "end": 2298.23, "word": " ال", "probability": 0.9423828125}, {"start": 2298.23, "end": 2298.41, "word": " high", "probability": 0.1820068359375}, {"start": 2298.41, "end": 2299.13, "word": " parabola", "probability": 0.787353515625}, {"start": 2299.13, "end": 2299.53, "word": " و", "probability": 0.9501953125}, {"start": 2299.53, "end": 2300.33, "word": " ال", "probability": 0.81298828125}, {"start": 2300.33, "end": 2301.33, "word": " ellipse،", "probability": 0.7430013020833334}, {"start": 2301.33, "end": 2301.49, "word": " ال", "probability": 0.755859375}, {"start": 2301.49, "end": 2301.79, "word": " ellipse", "probability": 0.9619140625}, {"start": 2301.79, "end": 2302.31, "word": " بطل", "probability": 0.7532552083333334}, {"start": 2302.31, "end": 2302.53, "word": " على", "probability": 0.8671875}, {"start": 2302.53, "end": 2303.01, "word": " صاحب", "probability": 0.9742838541666666}, {"start": 2303.01, "end": 2303.57, "word": " المقام", "probability": 0.9934895833333334}, {"start": 2303.57, "end": 2304.71, "word": " الكبير،", "probability": 0.919921875}, {"start": 2304.71, "end": 2305.19, "word": " لكن", "probability": 0.9794921875}, {"start": 2305.19, "end": 2305.39, "word": " ال", "probability": 0.79736328125}, {"start": 2305.39, "end": 2305.55, "word": " high", "probability": 0.9599609375}, {"start": 2305.55, "end": 2306.01, "word": " parabola", "probability": 0.945068359375}, {"start": 2306.01, "end": 2306.65, "word": " بطل", "probability": 0.970703125}, {"start": 2306.65, "end": 2306.89, "word": " على", "probability": 0.9580078125}, {"start": 2306.89, "end": 2307.49, "word": " صاحب", "probability": 0.9905598958333334}, {"start": 2307.49, "end": 2308.79, "word": " الإشارة", "probability": 0.9713134765625}, {"start": 2308.79, "end": 2310.23, "word": " الموجبة،", "probability": 0.90478515625}, {"start": 2310.23, "end": 2310.73, "word": " قولها", "probability": 0.7916666666666666}, {"start": 2310.73, "end": 2311.13, "word": " السؤال", "probability": 0.9921875}, {"start": 2311.13, "end": 2311.37, "word": " اللي", "probability": 0.93115234375}, {"start": 2311.37, "end": 2311.95, "word": " زنجك", "probability": 0.843505859375}, {"start": 2311.95, "end": 2312.31, "word": " هذا", "probability": 0.8623046875}], "temperature": 1.0}, {"id": 100, "seek": 234221, "start": 2313.38, "end": 2342.22, "text": "خلاص ما يبقى أجابنا والحمد لله يبقى ان هاي طرابولة بينا نفرق بينهم باطل على صاحب الإشارة صاحب الإشارة الموجبة بيكون هو ال major axis X بإشارة موجبة يبقى ال major axis او ال focal axis هو محور X هنا ال focal axis هو محور Y طب بيبقى اطل على ال asymptotes يبقى ال asymptotes بيجي خاط شكل اللي عندك كده هيك", "tokens": [9778, 1211, 33546, 19446, 7251, 3555, 4587, 7578, 5551, 7435, 16758, 8315, 16070, 35571, 3215, 24976, 3224, 7251, 3555, 4587, 7578, 16472, 8032, 47302, 23032, 2288, 16758, 12610, 3660, 4724, 1829, 8315, 8717, 5172, 2288, 4587, 49374, 16095, 4724, 41193, 1211, 15844, 20328, 39319, 3555, 33688, 8592, 9640, 3660, 20328, 39319, 3555, 33688, 8592, 9640, 3660, 9673, 29245, 49401, 4724, 1829, 30544, 31439, 2423, 2563, 10298, 1783, 4724, 28814, 8592, 9640, 3660, 3714, 29245, 49401, 7251, 3555, 4587, 7578, 2423, 2563, 10298, 1975, 2407, 2423, 26592, 10298, 31439, 3714, 5016, 13063, 1783, 34105, 2423, 26592, 10298, 31439, 3714, 5016, 13063, 398, 23032, 3555, 4724, 1829, 3555, 4587, 7578, 1975, 9566, 1211, 15844, 2423, 35114, 17251, 7251, 3555, 4587, 7578, 2423, 35114, 17251, 4724, 1829, 7435, 1829, 16490, 41193, 13412, 28820, 13672, 1829, 43242, 4117, 9122, 3215, 3224, 39896, 4117], "avg_logprob": -0.2184151810194765, "compression_ratio": 2.008298755186722, "no_speech_prob": 0.0, "words": [{"start": 2313.38, "end": 2313.92, "word": "خلاص", "probability": 0.6659749348958334}, {"start": 2313.92, "end": 2314.12, "word": " ما", "probability": 0.10101318359375}, {"start": 2314.12, "end": 2314.38, "word": " يبقى", "probability": 0.888671875}, {"start": 2314.38, "end": 2314.88, "word": " أجابنا", "probability": 0.78094482421875}, {"start": 2314.88, "end": 2315.4, "word": " والحمد", "probability": 0.8556315104166666}, {"start": 2315.4, "end": 2315.8, "word": " لله", "probability": 0.94873046875}, {"start": 2315.8, "end": 2316.8, "word": " يبقى", "probability": 0.9573974609375}, {"start": 2316.8, "end": 2316.92, "word": " ان", "probability": 0.375732421875}, {"start": 2316.92, "end": 2317.18, "word": " هاي", "probability": 0.696044921875}, {"start": 2317.18, "end": 2318.16, "word": " طرابولة", "probability": 0.6310302734375}, {"start": 2318.16, "end": 2318.82, "word": " بينا", "probability": 0.3042399088541667}, {"start": 2318.82, "end": 2319.4, "word": " نفرق", "probability": 0.8385009765625}, {"start": 2319.4, "end": 2319.88, "word": " بينهم", "probability": 0.96923828125}, {"start": 2319.88, "end": 2320.44, "word": " باطل", "probability": 0.7332356770833334}, {"start": 2320.44, "end": 2320.66, "word": " على", "probability": 0.80126953125}, {"start": 2320.66, "end": 2321.3, "word": " صاحب", "probability": 0.9830729166666666}, {"start": 2321.3, "end": 2322.18, "word": " الإشارة", "probability": 0.946533203125}, {"start": 2322.18, "end": 2322.88, "word": " صاحب", "probability": 0.9602864583333334}, {"start": 2322.88, "end": 2323.5, "word": " الإشارة", "probability": 0.9923095703125}, {"start": 2323.5, "end": 2324.04, "word": " الموجبة", "probability": 0.81787109375}, {"start": 2324.04, "end": 2324.64, "word": " بيكون", "probability": 0.8834635416666666}, {"start": 2324.64, "end": 2325.18, "word": " هو", "probability": 0.9619140625}, {"start": 2325.18, "end": 2325.36, "word": " ال", "probability": 0.7841796875}, {"start": 2325.36, "end": 2325.64, "word": " major", "probability": 0.86181640625}, {"start": 2325.64, "end": 2326.06, "word": " axis", "probability": 0.97265625}, {"start": 2326.06, "end": 2326.72, "word": " X", "probability": 0.7021484375}, {"start": 2326.72, "end": 2327.28, "word": " بإشارة", "probability": 0.98125}, {"start": 2327.28, "end": 2327.72, "word": " موجبة", "probability": 0.9513346354166666}, {"start": 2327.72, "end": 2327.98, "word": " يبقى", "probability": 0.970947265625}, {"start": 2327.98, "end": 2328.1, "word": " ال", "probability": 0.89111328125}, {"start": 2328.1, "end": 2328.36, "word": " major", "probability": 0.95556640625}, {"start": 2328.36, "end": 2328.8, "word": " axis", "probability": 0.96826171875}, {"start": 2328.8, "end": 2329.02, "word": " او", "probability": 0.737548828125}, {"start": 2329.02, "end": 2329.16, "word": " ال", "probability": 0.72412109375}, {"start": 2329.16, "end": 2329.44, "word": " focal", "probability": 0.544921875}, {"start": 2329.44, "end": 2330.0, "word": " axis", "probability": 0.97705078125}, {"start": 2330.0, "end": 2330.48, "word": " هو", "probability": 0.95458984375}, {"start": 2330.48, "end": 2330.86, "word": " محور", "probability": 0.9803059895833334}, {"start": 2330.86, "end": 2331.16, "word": " X", "probability": 0.966796875}, {"start": 2331.16, "end": 2331.62, "word": " هنا", "probability": 0.2437744140625}, {"start": 2331.62, "end": 2331.78, "word": " ال", "probability": 0.96484375}, {"start": 2331.78, "end": 2332.06, "word": " focal", "probability": 0.951171875}, {"start": 2332.06, "end": 2332.44, "word": " axis", "probability": 0.974609375}, {"start": 2332.44, "end": 2332.64, "word": " هو", "probability": 0.939453125}, {"start": 2332.64, "end": 2333.28, "word": " محور", "probability": 0.98828125}, {"start": 2333.28, "end": 2333.84, "word": " Y", "probability": 0.970703125}, {"start": 2333.84, "end": 2334.4, "word": " طب", "probability": 0.923828125}, {"start": 2334.4, "end": 2334.74, "word": " بيبقى", "probability": 0.80439453125}, {"start": 2334.74, "end": 2335.2, "word": " اطل", "probability": 0.8055013020833334}, {"start": 2335.2, "end": 2335.44, "word": " على", "probability": 0.9306640625}, {"start": 2335.44, "end": 2335.68, "word": " ال", "probability": 0.99169921875}, {"start": 2335.68, "end": 2336.78, "word": " asymptotes", "probability": 0.812744140625}, {"start": 2336.78, "end": 2337.56, "word": " يبقى", "probability": 0.9857177734375}, {"start": 2337.56, "end": 2337.66, "word": " ال", "probability": 0.97412109375}, {"start": 2337.66, "end": 2338.24, "word": " asymptotes", "probability": 0.938232421875}, {"start": 2338.24, "end": 2338.82, "word": " بيجي", "probability": 0.8350830078125}, {"start": 2338.82, "end": 2339.66, "word": " خاط", "probability": 0.819580078125}, {"start": 2339.66, "end": 2340.7, "word": " شكل", "probability": 0.717041015625}, {"start": 2340.7, "end": 2340.88, "word": " اللي", "probability": 0.91552734375}, {"start": 2340.88, "end": 2341.28, "word": " عندك", "probability": 0.98486328125}, {"start": 2341.28, "end": 2341.66, "word": " كده", "probability": 0.84423828125}, {"start": 2341.66, "end": 2342.22, "word": " هيك", "probability": 0.8173828125}], "temperature": 1.0}, {"id": 101, "seek": 235900, "start": 2343.26, "end": 2359.0, "text": "وهنا بده يجيلك الخط من الناحية التانية بهذا الشكل ويظل نازل يبقى هذا بده يجي ماشي معاه بشكل هذا ايه؟ او هذا بده ينزل معاه بالشكل هذا تمام؟", "tokens": [2407, 3224, 8315, 47525, 3224, 7251, 7435, 1829, 23275, 33962, 9566, 9154, 2423, 8315, 5016, 10632, 16712, 7649, 10632, 39627, 15730, 25124, 28820, 4032, 1829, 19913, 1211, 8717, 31377, 1211, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 7435, 1829, 3714, 33599, 1829, 20449, 40294, 4724, 8592, 28820, 23758, 1975, 1829, 3224, 22807, 1975, 2407, 23758, 47525, 3224, 7251, 1863, 11622, 1211, 20449, 40294, 20666, 8592, 28820, 23758, 46811, 10943, 22807], "avg_logprob": -0.19466145212451616, "compression_ratio": 1.8863636363636365, "no_speech_prob": 0.0, "words": [{"start": 2343.26, "end": 2343.92, "word": "وهنا", "probability": 0.6702473958333334}, {"start": 2343.92, "end": 2344.32, "word": " بده", "probability": 0.6126708984375}, {"start": 2344.32, "end": 2344.7, "word": " يجيلك", "probability": 0.9346923828125}, {"start": 2344.7, "end": 2345.22, "word": " الخط", "probability": 0.971923828125}, {"start": 2345.22, "end": 2345.42, "word": " من", "probability": 0.95166015625}, {"start": 2345.42, "end": 2345.98, "word": " الناحية", "probability": 0.87841796875}, {"start": 2345.98, "end": 2346.52, "word": " التانية", "probability": 0.9873046875}, {"start": 2346.52, "end": 2346.98, "word": " بهذا", "probability": 0.936279296875}, {"start": 2346.98, "end": 2347.62, "word": " الشكل", "probability": 0.986572265625}, {"start": 2347.62, "end": 2348.72, "word": " ويظل", "probability": 0.71600341796875}, {"start": 2348.72, "end": 2349.46, "word": " نازل", "probability": 0.9698893229166666}, {"start": 2349.46, "end": 2350.38, "word": " يبقى", "probability": 0.802734375}, {"start": 2350.38, "end": 2350.7, "word": " هذا", "probability": 0.78662109375}, {"start": 2350.7, "end": 2351.1, "word": " بده", "probability": 0.7059326171875}, {"start": 2351.1, "end": 2351.28, "word": " يجي", "probability": 0.8743489583333334}, {"start": 2351.28, "end": 2351.9, "word": " ماشي", "probability": 0.9474283854166666}, {"start": 2351.9, "end": 2352.66, "word": " معاه", "probability": 0.978271484375}, {"start": 2352.66, "end": 2353.44, "word": " بشكل", "probability": 0.751708984375}, {"start": 2353.44, "end": 2353.74, "word": " هذا", "probability": 0.8115234375}, {"start": 2353.74, "end": 2354.38, "word": " ايه؟", "probability": 0.6776123046875}, {"start": 2354.38, "end": 2354.54, "word": " او", "probability": 0.8427734375}, {"start": 2354.54, "end": 2354.88, "word": " هذا", "probability": 0.92138671875}, {"start": 2354.88, "end": 2355.24, "word": " بده", "probability": 0.8271484375}, {"start": 2355.24, "end": 2355.62, "word": " ينزل", "probability": 0.9842529296875}, {"start": 2355.62, "end": 2356.22, "word": " معاه", "probability": 0.987548828125}, {"start": 2356.22, "end": 2357.32, "word": " بالشكل", "probability": 0.919921875}, {"start": 2357.32, "end": 2357.68, "word": " هذا", "probability": 0.98583984375}, {"start": 2357.68, "end": 2359.0, "word": " تمام؟", "probability": 0.76416015625}], "temperature": 1.0}, {"id": 102, "seek": 238944, "start": 2360.44, "end": 2389.44, "text": "يبقى لو كمان بدي أشوف شكل ال B من هنا بروح برسم مماس و من هنا بروح برسم مماس و بوصل بين نقاط التقاطة بيصير هذه A وهذه B تمام؟ لأن هذه النقطة هي Zero و A وهذه النقطة Zero و سالب A", "tokens": [1829, 3555, 4587, 7578, 45164, 9122, 2304, 7649, 4724, 16254, 5551, 8592, 38688, 13412, 28820, 2423, 363, 9154, 34105, 4724, 32887, 5016, 4724, 2288, 38251, 3714, 15042, 3794, 4032, 9154, 34105, 4724, 32887, 5016, 4724, 2288, 38251, 3714, 15042, 3794, 4032, 4724, 2407, 36520, 49374, 8717, 4587, 41193, 16712, 4587, 41193, 3660, 4724, 1829, 9381, 13546, 29538, 316, 37037, 24192, 363, 46811, 10943, 22807, 5296, 33456, 29538, 28239, 47432, 3660, 39896, 17182, 4032, 316, 37037, 24192, 28239, 47432, 3660, 17182, 4032, 8608, 6027, 3555, 316], "avg_logprob": -0.2091206445596939, "compression_ratio": 1.8242424242424242, "no_speech_prob": 0.0, "words": [{"start": 2360.44, "end": 2360.96, "word": "يبقى", "probability": 0.7647705078125}, {"start": 2360.96, "end": 2361.16, "word": " لو", "probability": 0.9443359375}, {"start": 2361.16, "end": 2361.58, "word": " كمان", "probability": 0.9444986979166666}, {"start": 2361.58, "end": 2361.9, "word": " بدي", "probability": 0.7978515625}, {"start": 2361.9, "end": 2362.36, "word": " أشوف", "probability": 0.8771158854166666}, {"start": 2362.36, "end": 2363.1, "word": " شكل", "probability": 0.9609375}, {"start": 2363.1, "end": 2363.74, "word": " ال", "probability": 0.92626953125}, {"start": 2363.74, "end": 2364.06, "word": " B", "probability": 0.19384765625}, {"start": 2364.06, "end": 2364.88, "word": " من", "probability": 0.7373046875}, {"start": 2364.88, "end": 2365.3, "word": " هنا", "probability": 0.98486328125}, {"start": 2365.3, "end": 2365.82, "word": " بروح", "probability": 0.9518229166666666}, {"start": 2365.82, "end": 2366.38, "word": " برسم", "probability": 0.955078125}, {"start": 2366.38, "end": 2367.06, "word": " مماس", "probability": 0.8182779947916666}, {"start": 2367.06, "end": 2367.6, "word": " و", "probability": 0.70068359375}, {"start": 2367.6, "end": 2367.82, "word": " من", "probability": 0.66552734375}, {"start": 2367.82, "end": 2368.06, "word": " هنا", "probability": 0.98974609375}, {"start": 2368.06, "end": 2368.62, "word": " بروح", "probability": 0.9915364583333334}, {"start": 2368.62, "end": 2369.24, "word": " برسم", "probability": 0.9869791666666666}, {"start": 2369.24, "end": 2370.04, "word": " مماس", "probability": 0.9641927083333334}, {"start": 2370.04, "end": 2370.62, "word": " و", "probability": 0.5693359375}, {"start": 2370.62, "end": 2371.42, "word": " بوصل", "probability": 0.96240234375}, {"start": 2371.42, "end": 2371.86, "word": " بين", "probability": 0.8115234375}, {"start": 2371.86, "end": 2372.88, "word": " نقاط", "probability": 0.9609375}, {"start": 2372.88, "end": 2374.44, "word": " التقاطة", "probability": 0.8104248046875}, {"start": 2374.44, "end": 2375.84, "word": " بيصير", "probability": 0.781494140625}, {"start": 2375.84, "end": 2376.36, "word": " هذه", "probability": 0.66015625}, {"start": 2376.36, "end": 2377.02, "word": " A", "probability": 0.7294921875}, {"start": 2377.02, "end": 2378.36, "word": " وهذه", "probability": 0.761474609375}, {"start": 2378.36, "end": 2379.44, "word": " B", "probability": 0.83154296875}, {"start": 2379.44, "end": 2381.06, "word": " تمام؟", "probability": 0.8155924479166666}, {"start": 2381.06, "end": 2381.38, "word": " لأن", "probability": 0.810546875}, {"start": 2381.38, "end": 2381.72, "word": " هذه", "probability": 0.429931640625}, {"start": 2381.72, "end": 2382.3, "word": " النقطة", "probability": 0.9596354166666666}, {"start": 2382.3, "end": 2382.54, "word": " هي", "probability": 0.328369140625}, {"start": 2382.54, "end": 2383.14, "word": " Zero", "probability": 0.393798828125}, {"start": 2383.14, "end": 2383.56, "word": " و", "probability": 0.728515625}, {"start": 2383.56, "end": 2384.18, "word": " A", "probability": 0.64013671875}, {"start": 2384.18, "end": 2385.34, "word": " وهذه", "probability": 0.900146484375}, {"start": 2385.34, "end": 2386.2, "word": " النقطة", "probability": 0.9493815104166666}, {"start": 2386.2, "end": 2387.3, "word": " Zero", "probability": 0.6357421875}, {"start": 2387.3, "end": 2388.12, "word": " و", "probability": 0.62890625}, {"start": 2388.12, "end": 2389.02, "word": " سالب", "probability": 0.8279622395833334}, {"start": 2389.02, "end": 2389.44, "word": " A", "probability": 0.943359375}], "temperature": 1.0}, {"id": 103, "seek": 240969, "start": 2391.39, "end": 2409.69, "text": "الـ C يجيلك البقرة هنا يبقى هذه Zero والـ C و البقرة هذه Zero و سالب C بالشكل اللي عندنا فلو بدنا asymptotes فبجي بقوله they asymptotes", "tokens": [6027, 39184, 383, 7251, 7435, 1829, 23275, 29739, 4587, 25720, 34105, 7251, 3555, 4587, 7578, 29538, 17182, 16070, 39184, 383, 4032, 29739, 4587, 25720, 29538, 17182, 4032, 8608, 6027, 3555, 383, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 6156, 1211, 2407, 47525, 8315, 35114, 17251, 6156, 3555, 7435, 1829, 4724, 39648, 3224, 436, 35114, 17251], "avg_logprob": -0.3406808152794838, "compression_ratio": 1.5144927536231885, "no_speech_prob": 0.0, "words": [{"start": 2391.39, "end": 2391.85, "word": "الـ", "probability": 0.6630859375}, {"start": 2391.85, "end": 2392.07, "word": " C", "probability": 0.552734375}, {"start": 2392.07, "end": 2392.87, "word": " يجيلك", "probability": 0.5401611328125}, {"start": 2392.87, "end": 2393.47, "word": " البقرة", "probability": 0.8396809895833334}, {"start": 2393.47, "end": 2393.93, "word": " هنا", "probability": 0.86083984375}, {"start": 2393.93, "end": 2395.11, "word": " يبقى", "probability": 0.880859375}, {"start": 2395.11, "end": 2395.47, "word": " هذه", "probability": 0.697265625}, {"start": 2395.47, "end": 2396.07, "word": " Zero", "probability": 0.216064453125}, {"start": 2396.07, "end": 2396.87, "word": " والـ", "probability": 0.503662109375}, {"start": 2396.87, "end": 2397.17, "word": " C", "probability": 0.86279296875}, {"start": 2397.17, "end": 2397.85, "word": " و", "probability": 0.382080078125}, {"start": 2397.85, "end": 2398.43, "word": " البقرة", "probability": 0.9357096354166666}, {"start": 2398.43, "end": 2399.05, "word": " هذه", "probability": 0.775390625}, {"start": 2399.05, "end": 2400.13, "word": " Zero", "probability": 0.91552734375}, {"start": 2400.13, "end": 2400.73, "word": " و", "probability": 0.6083984375}, {"start": 2400.73, "end": 2401.19, "word": " سالب", "probability": 0.7667643229166666}, {"start": 2401.19, "end": 2401.39, "word": " C", "probability": 0.79443359375}, {"start": 2401.39, "end": 2401.95, "word": " بالشكل", "probability": 0.94287109375}, {"start": 2401.95, "end": 2402.09, "word": " اللي", "probability": 0.929931640625}, {"start": 2402.09, "end": 2402.59, "word": " عندنا", "probability": 0.83740234375}, {"start": 2402.59, "end": 2403.53, "word": " فلو", "probability": 0.8865559895833334}, {"start": 2403.53, "end": 2403.99, "word": " بدنا", "probability": 0.9013671875}, {"start": 2403.99, "end": 2404.95, "word": " asymptotes", "probability": 0.6170654296875}, {"start": 2404.95, "end": 2405.79, "word": " فبجي", "probability": 0.685546875}, {"start": 2405.79, "end": 2406.75, "word": " بقوله", "probability": 0.8426106770833334}, {"start": 2406.75, "end": 2407.35, "word": " they", "probability": 0.214599609375}, {"start": 2407.35, "end": 2409.69, "word": " asymptotes", "probability": 0.896240234375}], "temperature": 1.0}, {"id": 104, "seek": 243692, "start": 2412.26, "end": 2436.92, "text": "الـ Y تساوي زادة او نقص هنا ايش كانت؟ B على A في X هنا A على B في X بدي احصل عليها من وين؟ بشيل الواحد و بحط Zero بصير Y تساوي A تربيه على B تربيه في X وخد الجذر التربيه اللي في الطرفين بتحصل على مين؟ على ادي", "tokens": [6027, 39184, 398, 6055, 3794, 995, 45865, 30767, 18513, 3660, 1975, 2407, 8717, 4587, 9381, 34105, 1975, 1829, 8592, 25961, 2655, 22807, 363, 15844, 316, 8978, 1783, 34105, 316, 15844, 363, 8978, 1783, 4724, 16254, 1975, 5016, 36520, 25894, 11296, 9154, 4032, 9957, 22807, 4724, 8592, 26895, 2423, 14407, 24401, 4032, 4724, 5016, 9566, 17182, 4724, 9381, 13546, 398, 6055, 3794, 995, 45865, 316, 6055, 2288, 21292, 3224, 15844, 363, 6055, 2288, 21292, 3224, 8978, 1783, 4032, 9778, 3215, 25724, 8848, 2288, 16712, 2288, 21292, 3224, 13672, 1829, 8978, 41950, 28480, 9957, 39894, 5016, 36520, 15844, 3714, 9957, 22807, 15844, 1975, 16254], "avg_logprob": -0.3040048491607592, "compression_ratio": 1.837696335078534, "no_speech_prob": 0.0, "words": [{"start": 2412.2599999999998, "end": 2413.18, "word": "الـ", "probability": 0.3035888671875}, {"start": 2413.18, "end": 2413.38, "word": " Y", "probability": 0.33642578125}, {"start": 2413.38, "end": 2414.16, "word": " تساوي", "probability": 0.7042999267578125}, {"start": 2414.16, "end": 2415.34, "word": " زادة", "probability": 0.7288411458333334}, {"start": 2415.34, "end": 2415.42, "word": " او", "probability": 0.6827392578125}, {"start": 2415.42, "end": 2415.88, "word": " نقص", "probability": 0.9021809895833334}, {"start": 2415.88, "end": 2416.2, "word": " هنا", "probability": 0.412353515625}, {"start": 2416.2, "end": 2416.44, "word": " ايش", "probability": 0.7059733072916666}, {"start": 2416.44, "end": 2417.56, "word": " كانت؟", "probability": 0.81005859375}, {"start": 2417.56, "end": 2418.06, "word": " B", "probability": 0.263916015625}, {"start": 2418.06, "end": 2418.36, "word": " على", "probability": 0.525390625}, {"start": 2418.36, "end": 2418.64, "word": " A", "probability": 0.697265625}, {"start": 2418.64, "end": 2418.72, "word": " في", "probability": 0.42333984375}, {"start": 2418.72, "end": 2419.06, "word": " X", "probability": 0.8671875}, {"start": 2419.06, "end": 2419.42, "word": " هنا", "probability": 0.80517578125}, {"start": 2419.42, "end": 2420.16, "word": " A", "probability": 0.8974609375}, {"start": 2420.16, "end": 2421.42, "word": " على", "probability": 0.87060546875}, {"start": 2421.42, "end": 2421.94, "word": " B", "probability": 0.9853515625}, {"start": 2421.94, "end": 2422.62, "word": " في", "probability": 0.9306640625}, {"start": 2422.62, "end": 2423.08, "word": " X", "probability": 0.5908203125}, {"start": 2423.08, "end": 2423.78, "word": " بدي", "probability": 0.45428466796875}, {"start": 2423.78, "end": 2424.04, "word": " احصل", "probability": 0.9371744791666666}, {"start": 2424.04, "end": 2424.38, "word": " عليها", "probability": 0.98876953125}, {"start": 2424.38, "end": 2424.54, "word": " من", "probability": 0.9912109375}, {"start": 2424.54, "end": 2425.1, "word": " وين؟", "probability": 0.8553059895833334}, {"start": 2425.1, "end": 2425.8, "word": " بشيل", "probability": 0.9749348958333334}, {"start": 2425.8, "end": 2426.26, "word": " الواحد", "probability": 0.96875}, {"start": 2426.26, "end": 2426.38, "word": " و", "probability": 0.783203125}, {"start": 2426.38, "end": 2426.96, "word": " بحط", "probability": 0.9498697916666666}, {"start": 2426.96, "end": 2427.76, "word": " Zero", "probability": 0.568359375}, {"start": 2427.76, "end": 2429.2, "word": " بصير", "probability": 0.9073893229166666}, {"start": 2429.2, "end": 2429.84, "word": " Y", "probability": 0.93017578125}, {"start": 2429.84, "end": 2430.34, "word": " تساوي", "probability": 0.9503173828125}, {"start": 2430.34, "end": 2430.62, "word": " A", "probability": 0.939453125}, {"start": 2430.62, "end": 2431.06, "word": " تربيه", "probability": 0.842041015625}, {"start": 2431.06, "end": 2431.26, "word": " على", "probability": 0.89306640625}, {"start": 2431.26, "end": 2431.48, "word": " B", "probability": 0.99072265625}, {"start": 2431.48, "end": 2431.96, "word": " تربيه", "probability": 0.932861328125}, {"start": 2431.96, "end": 2432.1, "word": " في", "probability": 0.755859375}, {"start": 2432.1, "end": 2432.44, "word": " X", "probability": 0.9951171875}, {"start": 2432.44, "end": 2433.18, "word": " وخد", "probability": 0.7152506510416666}, {"start": 2433.18, "end": 2433.52, "word": " الجذر", "probability": 0.6625569661458334}, {"start": 2433.52, "end": 2434.0, "word": " التربيه", "probability": 0.9498291015625}, {"start": 2434.0, "end": 2434.1, "word": " اللي", "probability": 0.715576171875}, {"start": 2434.1, "end": 2434.22, "word": " في", "probability": 0.249267578125}, {"start": 2434.22, "end": 2434.54, "word": " الطرفين", "probability": 0.8391927083333334}, {"start": 2434.54, "end": 2435.02, "word": " بتحصل", "probability": 0.8592122395833334}, {"start": 2435.02, "end": 2435.22, "word": " على", "probability": 0.7177734375}, {"start": 2435.22, "end": 2436.04, "word": " مين؟", "probability": 0.8590494791666666}, {"start": 2436.04, "end": 2436.5, "word": " على", "probability": 0.8828125}, {"start": 2436.5, "end": 2436.92, "word": " ادي", "probability": 0.3243408203125}], "temperature": 1.0}, {"id": 105, "seek": 246431, "start": 2437.37, "end": 2464.31, "text": "بقى لنا اخر نقطة اللي هو لو عملنا له shift يبقى باقي بقوله لو كان if the center is h و k المعاملة تصبح على الشكل هذا x مقص h الكل تربيع على a تربيع y نقص k الكل تربيع على b تربيع يساوي واحد صحيح", "tokens": [3555, 4587, 7578, 5296, 8315, 1975, 34740, 8717, 47432, 3660, 13672, 1829, 31439, 45164, 6225, 42213, 8315, 46740, 5513, 7251, 3555, 4587, 7578, 4724, 995, 38436, 4724, 39648, 3224, 45164, 25961, 498, 264, 3056, 307, 276, 4032, 350, 9673, 3615, 10943, 37977, 6055, 9381, 49628, 15844, 25124, 28820, 23758, 2031, 3714, 4587, 9381, 276, 2423, 28820, 6055, 2288, 21292, 3615, 15844, 257, 6055, 2288, 21292, 3615, 288, 8717, 4587, 9381, 350, 2423, 28820, 6055, 2288, 21292, 3615, 15844, 272, 6055, 2288, 21292, 3615, 7251, 3794, 995, 45865, 36764, 24401, 20328, 5016, 1829, 5016], "avg_logprob": -0.2800864491690981, "compression_ratio": 1.695187165775401, "no_speech_prob": 0.0, "words": [{"start": 2437.37, "end": 2437.85, "word": "بقى", "probability": 0.2958577473958333}, {"start": 2437.85, "end": 2438.21, "word": " لنا", "probability": 0.83154296875}, {"start": 2438.21, "end": 2438.81, "word": " اخر", "probability": 0.6505126953125}, {"start": 2438.81, "end": 2439.59, "word": " نقطة", "probability": 0.9654947916666666}, {"start": 2439.59, "end": 2440.09, "word": " اللي", "probability": 0.5458984375}, {"start": 2440.09, "end": 2440.25, "word": " هو", "probability": 0.6669921875}, {"start": 2440.25, "end": 2440.41, "word": " لو", "probability": 0.8896484375}, {"start": 2440.41, "end": 2441.01, "word": " عملنا", "probability": 0.9503580729166666}, {"start": 2441.01, "end": 2441.21, "word": " له", "probability": 0.4453125}, {"start": 2441.21, "end": 2441.81, "word": " shift", "probability": 0.8544921875}, {"start": 2441.81, "end": 2442.61, "word": " يبقى", "probability": 0.912109375}, {"start": 2442.61, "end": 2442.97, "word": " باقي", "probability": 0.574951171875}, {"start": 2442.97, "end": 2443.65, "word": " بقوله", "probability": 0.7978515625}, {"start": 2443.65, "end": 2443.93, "word": " لو", "probability": 0.74951171875}, {"start": 2443.93, "end": 2444.53, "word": " كان", "probability": 0.92333984375}, {"start": 2444.53, "end": 2444.91, "word": " if", "probability": 0.081298828125}, {"start": 2444.91, "end": 2446.29, "word": " the", "probability": 0.6181640625}, {"start": 2446.29, "end": 2448.01, "word": " center", "probability": 0.859375}, {"start": 2448.01, "end": 2449.25, "word": " is", "probability": 0.94970703125}, {"start": 2449.25, "end": 2450.29, "word": " h", "probability": 0.334716796875}, {"start": 2450.29, "end": 2450.67, "word": " و", "probability": 0.93701171875}, {"start": 2450.67, "end": 2450.97, "word": " k", "probability": 0.513671875}, {"start": 2450.97, "end": 2452.19, "word": " المعاملة", "probability": 0.9117431640625}, {"start": 2452.19, "end": 2452.69, "word": " تصبح", "probability": 0.8557942708333334}, {"start": 2452.69, "end": 2452.91, "word": " على", "probability": 0.91064453125}, {"start": 2452.91, "end": 2453.29, "word": " الشكل", "probability": 0.961669921875}, {"start": 2453.29, "end": 2453.59, "word": " هذا", "probability": 0.83740234375}, {"start": 2453.59, "end": 2454.05, "word": " x", "probability": 0.68310546875}, {"start": 2454.05, "end": 2454.99, "word": " مقص", "probability": 0.7079264322916666}, {"start": 2454.99, "end": 2455.37, "word": " h", "probability": 0.888671875}, {"start": 2455.37, "end": 2455.93, "word": " الكل", "probability": 0.776611328125}, {"start": 2455.93, "end": 2456.49, "word": " تربيع", "probability": 0.83349609375}, {"start": 2456.49, "end": 2456.75, "word": " على", "probability": 0.64453125}, {"start": 2456.75, "end": 2456.99, "word": " a", "probability": 0.875}, {"start": 2456.99, "end": 2457.67, "word": " تربيع", "probability": 0.9429931640625}, {"start": 2457.67, "end": 2458.33, "word": " y", "probability": 0.22119140625}, {"start": 2458.33, "end": 2458.89, "word": " نقص", "probability": 0.8655598958333334}, {"start": 2458.89, "end": 2459.07, "word": " k", "probability": 0.939453125}, {"start": 2459.07, "end": 2459.45, "word": " الكل", "probability": 0.895751953125}, {"start": 2459.45, "end": 2460.15, "word": " تربيع", "probability": 0.9608154296875}, {"start": 2460.15, "end": 2460.73, "word": " على", "probability": 0.86669921875}, {"start": 2460.73, "end": 2460.99, "word": " b", "probability": 0.96142578125}, {"start": 2460.99, "end": 2461.59, "word": " تربيع", "probability": 0.968505859375}, {"start": 2461.59, "end": 2462.57, "word": " يساوي", "probability": 0.9468994140625}, {"start": 2462.57, "end": 2463.73, "word": " واحد", "probability": 0.6844482421875}, {"start": 2463.73, "end": 2464.31, "word": " صحيح", "probability": 0.89306640625}], "temperature": 1.0}, {"id": 106, "seek": 249342, "start": 2464.89, "end": 2493.43, "text": "طب لو كانت هذه عندي المعادلة و بدّي الـ asymptotes هاخد هذه ولا هذيك؟ ماجولي ولا هذه ولا هذه؟ شيل الواحد وحط zero واتلي Y ماقص K تساوي كدهش بدلالة X ماقص اللي هتش بتكون حصلت على ال asymptotes كما ستراه من بعض الأمثلة بعد قليل", "tokens": [9566, 3555, 45164, 25961, 2655, 29538, 18871, 16254, 9673, 3615, 18513, 37977, 4032, 47525, 11703, 1829, 2423, 39184, 35114, 17251, 8032, 47283, 3215, 29538, 49429, 8032, 8848, 1829, 4117, 22807, 3714, 26108, 12610, 1829, 49429, 29538, 49429, 29538, 22807, 13412, 26895, 2423, 14407, 24401, 4032, 5016, 9566, 4018, 4032, 9307, 20292, 398, 19446, 4587, 9381, 591, 6055, 3794, 995, 45865, 9122, 3215, 3224, 8592, 47525, 1211, 6027, 3660, 1783, 19446, 4587, 9381, 13672, 1829, 8032, 2655, 8592, 39894, 30544, 11331, 36520, 2655, 15844, 2423, 35114, 17251, 9122, 15042, 8608, 2655, 23557, 3224, 9154, 45030, 11242, 16247, 2304, 12984, 37977, 39182, 12174, 20292, 1211], "avg_logprob": -0.30003004836348385, "compression_ratio": 1.68, "no_speech_prob": 0.0, "words": [{"start": 2464.89, "end": 2465.15, "word": "طب", "probability": 0.54022216796875}, {"start": 2465.15, "end": 2465.35, "word": " لو", "probability": 0.97216796875}, {"start": 2465.35, "end": 2465.83, "word": " كانت", "probability": 0.842041015625}, {"start": 2465.83, "end": 2466.09, "word": " هذه", "probability": 0.8798828125}, {"start": 2466.09, "end": 2466.45, "word": " عندي", "probability": 0.6820068359375}, {"start": 2466.45, "end": 2467.25, "word": " المعادلة", "probability": 0.982666015625}, {"start": 2467.25, "end": 2467.59, "word": " و", "probability": 0.73974609375}, {"start": 2467.59, "end": 2467.91, "word": " بدّي", "probability": 0.6815592447916666}, {"start": 2467.91, "end": 2468.07, "word": " الـ", "probability": 0.291595458984375}, {"start": 2468.07, "end": 2468.93, "word": " asymptotes", "probability": 0.724853515625}, {"start": 2468.93, "end": 2471.07, "word": " هاخد", "probability": 0.6027018229166666}, {"start": 2471.07, "end": 2471.41, "word": " هذه", "probability": 0.73583984375}, {"start": 2471.41, "end": 2471.65, "word": " ولا", "probability": 0.8916015625}, {"start": 2471.65, "end": 2473.33, "word": " هذيك؟", "probability": 0.60166015625}, {"start": 2473.33, "end": 2473.75, "word": " ماجولي", "probability": 0.48614501953125}, {"start": 2473.75, "end": 2473.95, "word": " ولا", "probability": 0.9716796875}, {"start": 2473.95, "end": 2474.31, "word": " هذه", "probability": 0.7666015625}, {"start": 2474.31, "end": 2474.51, "word": " ولا", "probability": 0.96875}, {"start": 2474.51, "end": 2475.07, "word": " هذه؟", "probability": 0.745849609375}, {"start": 2475.07, "end": 2475.51, "word": " شيل", "probability": 0.824951171875}, {"start": 2475.51, "end": 2476.05, "word": " الواحد", "probability": 0.8782552083333334}, {"start": 2476.05, "end": 2476.51, "word": " وحط", "probability": 0.79345703125}, {"start": 2476.51, "end": 2477.05, "word": " zero", "probability": 0.406494140625}, {"start": 2477.05, "end": 2478.37, "word": " واتلي", "probability": 0.7317708333333334}, {"start": 2478.37, "end": 2479.41, "word": " Y", "probability": 0.369140625}, {"start": 2479.41, "end": 2480.69, "word": " ماقص", "probability": 0.6883138020833334}, {"start": 2480.69, "end": 2481.53, "word": " K", "probability": 0.380126953125}, {"start": 2481.53, "end": 2482.33, "word": " تساوي", "probability": 0.8829345703125}, {"start": 2482.33, "end": 2482.95, "word": " كدهش", "probability": 0.6495361328125}, {"start": 2482.95, "end": 2483.65, "word": " بدلالة", "probability": 0.9193115234375}, {"start": 2483.65, "end": 2484.05, "word": " X", "probability": 0.974609375}, {"start": 2484.05, "end": 2484.91, "word": " ماقص", "probability": 0.8782552083333334}, {"start": 2484.91, "end": 2485.05, "word": " اللي", "probability": 0.708251953125}, {"start": 2485.05, "end": 2485.27, "word": " هتش", "probability": 0.7683919270833334}, {"start": 2485.27, "end": 2485.65, "word": " بتكون", "probability": 0.87353515625}, {"start": 2485.65, "end": 2486.43, "word": " حصلت", "probability": 0.95458984375}, {"start": 2486.43, "end": 2486.83, "word": " على", "probability": 0.779296875}, {"start": 2486.83, "end": 2487.07, "word": " ال", "probability": 0.990234375}, {"start": 2487.07, "end": 2487.77, "word": " asymptotes", "probability": 0.947509765625}, {"start": 2487.77, "end": 2488.53, "word": " كما", "probability": 0.93310546875}, {"start": 2488.53, "end": 2489.75, "word": " ستراه", "probability": 0.913330078125}, {"start": 2489.75, "end": 2490.09, "word": " من", "probability": 0.97900390625}, {"start": 2490.09, "end": 2490.57, "word": " بعض", "probability": 0.988037109375}, {"start": 2490.57, "end": 2491.59, "word": " الأمثلة", "probability": 0.9820556640625}, {"start": 2491.59, "end": 2492.39, "word": " بعد", "probability": 0.9658203125}, {"start": 2492.39, "end": 2493.43, "word": " قليل", "probability": 0.9873046875}], "temperature": 1.0}, {"id": 107, "seek": 252460, "start": 2502.18, "end": 2524.6, "text": "نجي الأول مثال على هذا الموضوع يبقى examples أول مثال بيقول ما ياتي sketch دي هي Parabola sketch دي هي Parabola", "tokens": [1863, 7435, 1829, 2423, 10721, 12610, 50113, 6027, 15844, 23758, 9673, 2407, 11242, 45367, 7251, 3555, 4587, 7578, 5110, 5551, 12610, 50113, 6027, 4724, 1829, 39648, 19446, 7251, 9307, 1829, 12325, 11778, 1829, 39896, 3457, 455, 4711, 12325, 11778, 1829, 39896, 3457, 455, 4711], "avg_logprob": -0.2916666799121433, "compression_ratio": 1.3949579831932772, "no_speech_prob": 0.0, "words": [{"start": 2502.18, "end": 2503.58, "word": "نجي", "probability": 0.5245361328125}, {"start": 2503.58, "end": 2503.96, "word": " الأول", "probability": 0.63232421875}, {"start": 2503.96, "end": 2504.46, "word": " مثال", "probability": 0.977294921875}, {"start": 2504.46, "end": 2504.66, "word": " على", "probability": 0.71875}, {"start": 2504.66, "end": 2505.18, "word": " هذا", "probability": 0.939453125}, {"start": 2505.18, "end": 2507.06, "word": " الموضوع", "probability": 0.9984130859375}, {"start": 2507.06, "end": 2509.88, "word": " يبقى", "probability": 0.783935546875}, {"start": 2509.88, "end": 2510.9, "word": " examples", "probability": 0.6171875}, {"start": 2510.9, "end": 2514.18, "word": " أول", "probability": 0.812744140625}, {"start": 2514.18, "end": 2514.86, "word": " مثال", "probability": 0.980712890625}, {"start": 2514.86, "end": 2515.34, "word": " بيقول", "probability": 0.89892578125}, {"start": 2515.34, "end": 2515.7, "word": " ما", "probability": 0.6474609375}, {"start": 2515.7, "end": 2516.62, "word": " ياتي", "probability": 0.7928059895833334}, {"start": 2516.62, "end": 2517.68, "word": " sketch", "probability": 0.74267578125}, {"start": 2517.68, "end": 2517.92, "word": " دي", "probability": 0.6134033203125}, {"start": 2517.92, "end": 2518.12, "word": " هي", "probability": 0.666015625}, {"start": 2518.12, "end": 2518.92, "word": " Parabola", "probability": 0.6433919270833334}, {"start": 2518.92, "end": 2519.96, "word": " sketch", "probability": 0.56787109375}, {"start": 2519.96, "end": 2521.58, "word": " دي", "probability": 0.86376953125}, {"start": 2521.58, "end": 2522.92, "word": " هي", "probability": 0.89990234375}, {"start": 2522.92, "end": 2524.6, "word": " Parabola", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 108, "seek": 255509, "start": 2525.61, "end": 2555.09, "text": "على الشكل التالي لتسعة X تربيع ناقص ستاشر Y تربيع تساوي مية واربعة واربعين وبعد ذلك find the vertices فكاي البقرتين and asymptotes", "tokens": [3615, 23942, 25124, 28820, 16712, 6027, 1829, 5296, 2655, 3794, 27884, 1783, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 8608, 2655, 33599, 2288, 398, 6055, 2288, 21292, 3615, 6055, 3794, 995, 45865, 3714, 10632, 4032, 9640, 3555, 27884, 4032, 9640, 3555, 3615, 9957, 46599, 22488, 29910, 23275, 915, 264, 32053, 6156, 4117, 47302, 29739, 4587, 43500, 9957, 293, 35114, 17251], "avg_logprob": -0.2379032207592841, "compression_ratio": 1.3866666666666667, "no_speech_prob": 0.0, "words": [{"start": 2525.61, "end": 2526.13, "word": "على", "probability": 0.77734375}, {"start": 2526.13, "end": 2526.71, "word": " الشكل", "probability": 0.942626953125}, {"start": 2526.71, "end": 2527.61, "word": " التالي", "probability": 0.9617513020833334}, {"start": 2527.61, "end": 2529.07, "word": " لتسعة", "probability": 0.78253173828125}, {"start": 2529.07, "end": 2529.67, "word": " X", "probability": 0.53515625}, {"start": 2529.67, "end": 2530.51, "word": " تربيع", "probability": 0.8232421875}, {"start": 2530.51, "end": 2531.85, "word": " ناقص", "probability": 0.9296875}, {"start": 2531.85, "end": 2532.93, "word": " ستاشر", "probability": 0.7078857421875}, {"start": 2532.93, "end": 2533.37, "word": " Y", "probability": 0.98046875}, {"start": 2533.37, "end": 2534.47, "word": " تربيع", "probability": 0.972900390625}, {"start": 2534.47, "end": 2535.65, "word": " تساوي", "probability": 0.9385986328125}, {"start": 2535.65, "end": 2536.91, "word": " مية", "probability": 0.957275390625}, {"start": 2536.91, "end": 2537.87, "word": " واربعة", "probability": 0.691650390625}, {"start": 2537.87, "end": 2538.85, "word": " واربعين", "probability": 0.93759765625}, {"start": 2538.85, "end": 2539.95, "word": " وبعد", "probability": 0.737060546875}, {"start": 2539.95, "end": 2540.77, "word": " ذلك", "probability": 0.98974609375}, {"start": 2540.77, "end": 2541.97, "word": " find", "probability": 0.55419921875}, {"start": 2541.97, "end": 2544.27, "word": " the", "probability": 0.78564453125}, {"start": 2544.27, "end": 2545.39, "word": " vertices", "probability": 0.974609375}, {"start": 2545.39, "end": 2548.91, "word": " فكاي", "probability": 0.3150634765625}, {"start": 2548.91, "end": 2550.99, "word": " البقرتين", "probability": 0.81317138671875}, {"start": 2550.99, "end": 2552.37, "word": " and", "probability": 0.96533203125}, {"start": 2552.37, "end": 2555.09, "word": " asymptotes", "probability": 0.85986328125}], "temperature": 1.0}, {"id": 109, "seek": 256913, "start": 2564.25, "end": 2569.13, "text": "أول شي بيحط المعلق في ال standard form يعني شو نعمله؟", "tokens": [10721, 12610, 44049, 4724, 1829, 5016, 9566, 9673, 30241, 4587, 8978, 2423, 3832, 1254, 37495, 22653, 13412, 2407, 8717, 25957, 43761, 22807], "avg_logprob": -0.5876358436501544, "compression_ratio": 0.9882352941176471, "no_speech_prob": 0.0, "words": [{"start": 2564.25, "end": 2565.17, "word": "أول", "probability": 0.53668212890625}, {"start": 2565.17, "end": 2565.41, "word": " شي", "probability": 0.7197265625}, {"start": 2565.41, "end": 2565.95, "word": " بيحط", "probability": 0.640869140625}, {"start": 2565.95, "end": 2566.41, "word": " المعلق", "probability": 0.5900065104166666}, {"start": 2566.41, "end": 2566.57, "word": " في", "probability": 0.630859375}, {"start": 2566.57, "end": 2566.63, "word": " ال", "probability": 0.59326171875}, {"start": 2566.63, "end": 2567.13, "word": " standard", "probability": 0.427490234375}, {"start": 2567.13, "end": 2567.87, "word": " form", "probability": 0.95849609375}, {"start": 2567.87, "end": 2568.05, "word": " يعني", "probability": 0.67529296875}, {"start": 2568.05, "end": 2568.21, "word": " شو", "probability": 0.4241943359375}, {"start": 2568.21, "end": 2569.13, "word": " نعمله؟", "probability": 0.7784423828125}], "temperature": 1.0}, {"id": 110, "seek": 259213, "start": 2569.57, "end": 2592.13, "text": "نقسم على 144 يبقى لو قسمنا بالصير X تربيه على 16 مقص Y تربيه على 9 يساوي كدهش؟ واحد يبقى عندنا هنا ال A تساوي أربعة وال B تساوي كدهش؟ تلاتة بالمرة أشرعك نجيب ال C؟", "tokens": [1863, 4587, 38251, 15844, 45218, 7251, 3555, 4587, 7578, 45164, 12174, 38251, 8315, 20666, 9381, 13546, 1783, 6055, 2288, 21292, 3224, 15844, 3165, 3714, 4587, 9381, 398, 6055, 2288, 21292, 3224, 15844, 1722, 7251, 3794, 995, 45865, 9122, 3215, 3224, 8592, 22807, 36764, 24401, 7251, 3555, 4587, 7578, 43242, 8315, 34105, 2423, 316, 6055, 3794, 995, 45865, 5551, 25513, 27884, 16070, 363, 6055, 3794, 995, 45865, 9122, 3215, 3224, 8592, 22807, 6055, 1211, 9307, 3660, 20666, 2304, 25720, 5551, 46309, 3615, 4117, 8717, 7435, 1829, 3555, 2423, 383, 22807], "avg_logprob": -0.20295138839218352, "compression_ratio": 1.6867469879518073, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2569.57, "end": 2570.45, "word": "نقسم", "probability": 0.77685546875}, {"start": 2570.45, "end": 2570.67, "word": " على", "probability": 0.7578125}, {"start": 2570.67, "end": 2571.41, "word": " 144", "probability": 0.419189453125}, {"start": 2571.41, "end": 2572.25, "word": " يبقى", "probability": 0.9111328125}, {"start": 2572.25, "end": 2572.47, "word": " لو", "probability": 0.87890625}, {"start": 2572.47, "end": 2573.17, "word": " قسمنا", "probability": 0.9729817708333334}, {"start": 2573.17, "end": 2573.77, "word": " بالصير", "probability": 0.8971354166666666}, {"start": 2573.77, "end": 2574.23, "word": " X", "probability": 0.45654296875}, {"start": 2574.23, "end": 2574.85, "word": " تربيه", "probability": 0.7340087890625}, {"start": 2574.85, "end": 2575.13, "word": " على", "probability": 0.78564453125}, {"start": 2575.13, "end": 2575.97, "word": " 16", "probability": 0.88818359375}, {"start": 2575.97, "end": 2577.35, "word": " مقص", "probability": 0.592529296875}, {"start": 2577.35, "end": 2577.65, "word": " Y", "probability": 0.9580078125}, {"start": 2577.65, "end": 2578.17, "word": " تربيه", "probability": 0.9691162109375}, {"start": 2578.17, "end": 2578.39, "word": " على", "probability": 0.87939453125}, {"start": 2578.39, "end": 2578.75, "word": " 9", "probability": 0.94921875}, {"start": 2578.75, "end": 2579.23, "word": " يساوي", "probability": 0.724853515625}, {"start": 2579.23, "end": 2580.41, "word": " كدهش؟", "probability": 0.69697265625}, {"start": 2580.41, "end": 2581.31, "word": " واحد", "probability": 0.780029296875}, {"start": 2581.31, "end": 2582.27, "word": " يبقى", "probability": 0.96337890625}, {"start": 2582.27, "end": 2582.77, "word": " عندنا", "probability": 0.98876953125}, {"start": 2582.77, "end": 2583.33, "word": " هنا", "probability": 0.9677734375}, {"start": 2583.33, "end": 2584.07, "word": " ال", "probability": 0.6865234375}, {"start": 2584.07, "end": 2584.57, "word": " A", "probability": 0.8525390625}, {"start": 2584.57, "end": 2585.41, "word": " تساوي", "probability": 0.9674072265625}, {"start": 2585.41, "end": 2586.19, "word": " أربعة", "probability": 0.7548014322916666}, {"start": 2586.19, "end": 2586.85, "word": " وال", "probability": 0.78125}, {"start": 2586.85, "end": 2587.11, "word": " B", "probability": 0.7421875}, {"start": 2587.11, "end": 2587.65, "word": " تساوي", "probability": 0.983154296875}, {"start": 2587.65, "end": 2588.75, "word": " كدهش؟", "probability": 0.93056640625}, {"start": 2588.75, "end": 2589.73, "word": " تلاتة", "probability": 0.9625244140625}, {"start": 2589.73, "end": 2590.51, "word": " بالمرة", "probability": 0.837890625}, {"start": 2590.51, "end": 2590.93, "word": " أشرعك", "probability": 0.65521240234375}, {"start": 2590.93, "end": 2591.31, "word": " نجيب", "probability": 0.950439453125}, {"start": 2591.31, "end": 2591.47, "word": " ال", "probability": 0.921875}, {"start": 2591.47, "end": 2592.13, "word": " C؟", "probability": 0.880615234375}], "temperature": 1.0}, {"id": 111, "seek": 260952, "start": 2593.42, "end": 2609.52, "text": "الجذر التربية له تربية زائد بيه تربية، يعني اللي هو الجذر التربية لمين؟ إيه التربية بصت عشر، وهذا تسعة، خمسة وعشرين، يبقى عندنا جداش خمسة", "tokens": [6027, 7435, 8848, 2288, 16712, 25513, 10632, 46740, 6055, 25513, 10632, 30767, 16373, 3215, 4724, 1829, 3224, 6055, 25513, 10632, 12399, 37495, 22653, 13672, 1829, 31439, 25724, 8848, 2288, 16712, 25513, 10632, 32767, 9957, 22807, 11933, 1829, 3224, 16712, 25513, 10632, 4724, 9381, 2655, 6225, 46309, 12399, 37037, 15730, 6055, 3794, 27884, 12399, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 12399, 7251, 3555, 4587, 7578, 43242, 8315, 10874, 3215, 33599, 16490, 2304, 3794, 3660], "avg_logprob": -0.2654194047576503, "compression_ratio": 1.7985611510791366, "no_speech_prob": 0.0, "words": [{"start": 2593.42, "end": 2594.24, "word": "الجذر", "probability": 0.7650146484375}, {"start": 2594.24, "end": 2594.78, "word": " التربية", "probability": 0.91064453125}, {"start": 2594.78, "end": 2594.94, "word": " له", "probability": 0.12432861328125}, {"start": 2594.94, "end": 2595.64, "word": " تربية", "probability": 0.786865234375}, {"start": 2595.64, "end": 2596.52, "word": " زائد", "probability": 0.8079427083333334}, {"start": 2596.52, "end": 2596.94, "word": " بيه", "probability": 0.7169596354166666}, {"start": 2596.94, "end": 2597.98, "word": " تربية،", "probability": 0.8292236328125}, {"start": 2597.98, "end": 2598.82, "word": " يعني", "probability": 0.833740234375}, {"start": 2598.82, "end": 2599.4, "word": " اللي", "probability": 0.6663818359375}, {"start": 2599.4, "end": 2599.56, "word": " هو", "probability": 0.9677734375}, {"start": 2599.56, "end": 2600.16, "word": " الجذر", "probability": 0.9593098958333334}, {"start": 2600.16, "end": 2600.98, "word": " التربية", "probability": 0.9803059895833334}, {"start": 2600.98, "end": 2601.74, "word": " لمين؟", "probability": 0.78515625}, {"start": 2601.74, "end": 2601.96, "word": " إيه", "probability": 0.71728515625}, {"start": 2601.96, "end": 2602.42, "word": " التربية", "probability": 0.8092447916666666}, {"start": 2602.42, "end": 2602.92, "word": " بصت", "probability": 0.4790852864583333}, {"start": 2602.92, "end": 2603.84, "word": " عشر،", "probability": 0.5891927083333334}, {"start": 2603.84, "end": 2604.76, "word": " وهذا", "probability": 0.772705078125}, {"start": 2604.76, "end": 2605.94, "word": " تسعة،", "probability": 0.9261474609375}, {"start": 2605.94, "end": 2606.46, "word": " خمسة", "probability": 0.98486328125}, {"start": 2606.46, "end": 2607.6, "word": " وعشرين،", "probability": 0.8888671875}, {"start": 2607.6, "end": 2607.98, "word": " يبقى", "probability": 0.9818115234375}, {"start": 2607.98, "end": 2608.3, "word": " عندنا", "probability": 0.899658203125}, {"start": 2608.3, "end": 2608.88, "word": " جداش", "probability": 0.4794514973958333}, {"start": 2608.88, "end": 2609.52, "word": " خمسة", "probability": 0.9765625}], "temperature": 1.0}, {"id": 112, "seek": 263584, "start": 2610.04, "end": 2635.84, "text": "واضح ان الرسمة هذه ال major axis هو محور X لأنه بالموجة يبقى لو رسمنا الرسمة نقول هي المحاور هذا محور X هذا محور Y هذا نقطة الأصل هذا الجزء الأول وهذا هو الجزء الثاني من ال high parabola اللي عندنا تمام التمام", "tokens": [2407, 46958, 5016, 16472, 34892, 38251, 3660, 29538, 2423, 2563, 10298, 31439, 3714, 5016, 13063, 1783, 5296, 33456, 3224, 20666, 2304, 29245, 3660, 7251, 3555, 4587, 7578, 45164, 12602, 38251, 8315, 34892, 38251, 3660, 8717, 39648, 39896, 9673, 5016, 995, 13063, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 23758, 8717, 47432, 3660, 16247, 36520, 23758, 25724, 11622, 38207, 16247, 12610, 37037, 15730, 31439, 25724, 11622, 38207, 6024, 104, 7649, 1829, 9154, 2423, 1090, 45729, 4711, 13672, 1829, 43242, 8315, 46811, 10943, 16712, 2304, 10943], "avg_logprob": -0.21218039400198244, "compression_ratio": 1.7959183673469388, "no_speech_prob": 0.0, "words": [{"start": 2610.04, "end": 2610.58, "word": "واضح", "probability": 0.94580078125}, {"start": 2610.58, "end": 2610.78, "word": " ان", "probability": 0.5107421875}, {"start": 2610.78, "end": 2611.38, "word": " الرسمة", "probability": 0.7242838541666666}, {"start": 2611.38, "end": 2611.66, "word": " هذه", "probability": 0.583984375}, {"start": 2611.66, "end": 2611.84, "word": " ال", "probability": 0.4130859375}, {"start": 2611.84, "end": 2612.14, "word": " major", "probability": 0.446533203125}, {"start": 2612.14, "end": 2612.74, "word": " axis", "probability": 0.9609375}, {"start": 2612.74, "end": 2613.32, "word": " هو", "probability": 0.61474609375}, {"start": 2613.32, "end": 2614.4, "word": " محور", "probability": 0.9443359375}, {"start": 2614.4, "end": 2614.68, "word": " X", "probability": 0.888671875}, {"start": 2614.68, "end": 2615.08, "word": " لأنه", "probability": 0.7815755208333334}, {"start": 2615.08, "end": 2615.72, "word": " بالموجة", "probability": 0.962646484375}, {"start": 2615.72, "end": 2616.48, "word": " يبقى", "probability": 0.7984619140625}, {"start": 2616.48, "end": 2616.66, "word": " لو", "probability": 0.8818359375}, {"start": 2616.66, "end": 2617.72, "word": " رسمنا", "probability": 0.8154296875}, {"start": 2617.72, "end": 2618.5, "word": " الرسمة", "probability": 0.9791666666666666}, {"start": 2618.5, "end": 2619.14, "word": " نقول", "probability": 0.6002197265625}, {"start": 2619.14, "end": 2619.36, "word": " هي", "probability": 0.5673828125}, {"start": 2619.36, "end": 2620.24, "word": " المحاور", "probability": 0.978515625}, {"start": 2620.24, "end": 2620.96, "word": " هذا", "probability": 0.50537109375}, {"start": 2620.96, "end": 2621.56, "word": " محور", "probability": 0.9869791666666666}, {"start": 2621.56, "end": 2622.06, "word": " X", "probability": 0.99169921875}, {"start": 2622.06, "end": 2622.7, "word": " هذا", "probability": 0.55908203125}, {"start": 2622.7, "end": 2623.3, "word": " محور", "probability": 0.96728515625}, {"start": 2623.3, "end": 2623.7, "word": " Y", "probability": 0.99462890625}, {"start": 2623.7, "end": 2624.4, "word": " هذا", "probability": 0.5234375}, {"start": 2624.4, "end": 2624.96, "word": " نقطة", "probability": 0.98876953125}, {"start": 2624.96, "end": 2625.56, "word": " الأصل", "probability": 0.89892578125}, {"start": 2625.56, "end": 2626.66, "word": " هذا", "probability": 0.89306640625}, {"start": 2626.66, "end": 2627.38, "word": " الجزء", "probability": 0.9757486979166666}, {"start": 2627.38, "end": 2628.08, "word": " الأول", "probability": 0.985107421875}, {"start": 2628.08, "end": 2629.18, "word": " وهذا", "probability": 0.793701171875}, {"start": 2629.18, "end": 2629.5, "word": " هو", "probability": 0.81884765625}, {"start": 2629.5, "end": 2630.2, "word": " الجزء", "probability": 0.9900716145833334}, {"start": 2630.2, "end": 2631.2, "word": " الثاني", "probability": 0.9722900390625}, {"start": 2631.2, "end": 2632.04, "word": " من", "probability": 0.95556640625}, {"start": 2632.04, "end": 2632.32, "word": " ال", "probability": 0.6416015625}, {"start": 2632.32, "end": 2632.7, "word": " high", "probability": 0.44091796875}, {"start": 2632.7, "end": 2633.64, "word": " parabola", "probability": 0.58941650390625}, {"start": 2633.64, "end": 2634.02, "word": " اللي", "probability": 0.943603515625}, {"start": 2634.02, "end": 2634.48, "word": " عندنا", "probability": 0.9404296875}, {"start": 2634.48, "end": 2635.32, "word": " تمام", "probability": 0.9443359375}, {"start": 2635.32, "end": 2635.84, "word": " التمام", "probability": 0.679443359375}], "temperature": 1.0}, {"id": 113, "seek": 266193, "start": 2636.55, "end": 2661.93, "text": "هذه هي رسمة الرسم الأول قال لي هاتلي ال vertices ال a عندي بيبقى داشر يبقى بقوله the vertices are اللي هم مين زائد او ناقص اربعة وزيره يبقى ال vertex هذه اربعة وزيره وهذه سالب اربعة", "tokens": [3224, 24192, 39896, 12602, 38251, 3660, 34892, 38251, 16247, 12610, 50239, 32239, 8032, 9307, 20292, 2423, 32053, 2423, 257, 18871, 16254, 4724, 1829, 3555, 4587, 7578, 11778, 33599, 2288, 7251, 3555, 4587, 7578, 4724, 39648, 3224, 264, 32053, 366, 13672, 1829, 8032, 2304, 3714, 9957, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 1975, 25513, 27884, 4032, 11622, 13546, 3224, 7251, 3555, 4587, 7578, 2423, 28162, 29538, 1975, 25513, 27884, 4032, 11622, 13546, 3224, 37037, 24192, 8608, 6027, 3555, 1975, 25513, 27884], "avg_logprob": -0.3984374872275761, "compression_ratio": 1.7470588235294118, "no_speech_prob": 0.0, "words": [{"start": 2636.55, "end": 2637.71, "word": "هذه", "probability": 0.16845703125}, {"start": 2637.71, "end": 2637.71, "word": " هي", "probability": 0.348876953125}, {"start": 2637.71, "end": 2638.87, "word": " رسمة", "probability": 0.529541015625}, {"start": 2638.87, "end": 2639.33, "word": " الرسم", "probability": 0.895263671875}, {"start": 2639.33, "end": 2639.93, "word": " الأول", "probability": 0.917724609375}, {"start": 2639.93, "end": 2640.59, "word": " قال", "probability": 0.1168212890625}, {"start": 2640.59, "end": 2640.83, "word": " لي", "probability": 0.43212890625}, {"start": 2640.83, "end": 2641.31, "word": " هاتلي", "probability": 0.548583984375}, {"start": 2641.31, "end": 2641.57, "word": " ال", "probability": 0.87060546875}, {"start": 2641.57, "end": 2642.29, "word": " vertices", "probability": 0.880859375}, {"start": 2642.29, "end": 2643.19, "word": " ال", "probability": 0.290283203125}, {"start": 2643.19, "end": 2643.47, "word": " a", "probability": 0.460205078125}, {"start": 2643.47, "end": 2643.79, "word": " عندي", "probability": 0.5902099609375}, {"start": 2643.79, "end": 2643.97, "word": " بيبقى", "probability": 0.77109375}, {"start": 2643.97, "end": 2644.59, "word": " داشر", "probability": 0.43414306640625}, {"start": 2644.59, "end": 2645.67, "word": " يبقى", "probability": 0.9171142578125}, {"start": 2645.67, "end": 2646.53, "word": " بقوله", "probability": 0.748291015625}, {"start": 2646.53, "end": 2646.87, "word": " the", "probability": 0.456298828125}, {"start": 2646.87, "end": 2648.61, "word": " vertices", "probability": 0.97265625}, {"start": 2648.61, "end": 2650.49, "word": " are", "probability": 0.43017578125}, {"start": 2650.49, "end": 2651.35, "word": " اللي", "probability": 0.902587890625}, {"start": 2651.35, "end": 2651.63, "word": " هم", "probability": 0.6689453125}, {"start": 2651.63, "end": 2652.11, "word": " مين", "probability": 0.7265625}, {"start": 2652.11, "end": 2652.83, "word": " زائد", "probability": 0.8821614583333334}, {"start": 2652.83, "end": 2653.15, "word": " او", "probability": 0.7076416015625}, {"start": 2653.15, "end": 2653.73, "word": " ناقص", "probability": 0.9842529296875}, {"start": 2653.73, "end": 2654.29, "word": " اربعة", "probability": 0.8277994791666666}, {"start": 2654.29, "end": 2655.03, "word": " وزيره", "probability": 0.67608642578125}, {"start": 2655.03, "end": 2655.93, "word": " يبقى", "probability": 0.9649658203125}, {"start": 2655.93, "end": 2656.09, "word": " ال", "probability": 0.9853515625}, {"start": 2656.09, "end": 2656.75, "word": " vertex", "probability": 0.798828125}, {"start": 2656.75, "end": 2657.47, "word": " هذه", "probability": 0.60400390625}, {"start": 2657.47, "end": 2658.61, "word": " اربعة", "probability": 0.9055989583333334}, {"start": 2658.61, "end": 2659.55, "word": " وزيره", "probability": 0.950439453125}, {"start": 2659.55, "end": 2660.31, "word": " وهذه", "probability": 0.700927734375}, {"start": 2660.31, "end": 2661.01, "word": " سالب", "probability": 0.8688151041666666}, {"start": 2661.01, "end": 2661.93, "word": " اربعة", "probability": 0.9259440104166666}], "temperature": 1.0}, {"id": 114, "seek": 267811, "start": 2663.13, "end": 2678.11, "text": "زيرو تانية لسالب أربعة وزيرو لفورتكس التانية بعد الفورتكسيز قال لي هاتلي الفوكاي او JTC فبدي بقوله ليه فوكاي", "tokens": [11622, 13546, 2407, 6055, 7649, 10632, 5296, 3794, 6027, 3555, 5551, 25513, 27884, 4032, 11622, 13546, 2407, 5296, 5172, 13063, 2655, 4117, 3794, 16712, 7649, 10632, 39182, 27188, 13063, 2655, 4117, 3794, 1829, 11622, 50239, 32239, 8032, 9307, 20292, 27188, 2407, 4117, 47302, 1975, 2407, 508, 18238, 6156, 3555, 16254, 4724, 39648, 3224, 32239, 3224, 6156, 2407, 4117, 47302], "avg_logprob": -0.431770820915699, "compression_ratio": 1.6810344827586208, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2663.13, "end": 2664.07, "word": "زيرو", "probability": 0.4188028971354167}, {"start": 2664.07, "end": 2665.03, "word": " تانية", "probability": 0.8701171875}, {"start": 2665.03, "end": 2666.35, "word": " لسالب", "probability": 0.6666259765625}, {"start": 2666.35, "end": 2667.21, "word": " أربعة", "probability": 0.8151041666666666}, {"start": 2667.21, "end": 2668.49, "word": " وزيرو", "probability": 0.8035888671875}, {"start": 2668.49, "end": 2669.31, "word": " لفورتكس", "probability": 0.6525472005208334}, {"start": 2669.31, "end": 2669.93, "word": " التانية", "probability": 0.8992513020833334}, {"start": 2669.93, "end": 2670.83, "word": " بعد", "probability": 0.5341796875}, {"start": 2670.83, "end": 2671.63, "word": " الفورتكسيز", "probability": 0.6538260323660714}, {"start": 2671.63, "end": 2671.85, "word": " قال", "probability": 0.7197265625}, {"start": 2671.85, "end": 2672.01, "word": " لي", "probability": 0.1861572265625}, {"start": 2672.01, "end": 2672.41, "word": " هاتلي", "probability": 0.6578776041666666}, {"start": 2672.41, "end": 2673.41, "word": " الفوكاي", "probability": 0.7257080078125}, {"start": 2673.41, "end": 2673.87, "word": " او", "probability": 0.79541015625}, {"start": 2673.87, "end": 2674.69, "word": " JTC", "probability": 0.5255126953125}, {"start": 2674.69, "end": 2675.65, "word": " فبدي", "probability": 0.6736653645833334}, {"start": 2675.65, "end": 2676.35, "word": " بقوله", "probability": 0.78173828125}, {"start": 2676.35, "end": 2676.89, "word": " ليه", "probability": 0.888671875}, {"start": 2676.89, "end": 2678.11, "word": " فوكاي", "probability": 0.9249267578125}], "temperature": 1.0}, {"id": 115, "seek": 270294, "start": 2678.52, "end": 2702.94, "text": "ار اللي همين زائد او ناقص خمسة وزيرو يبقى هذه هنا خمسة وزيرو وهذه هنا سالب خمسة وزيرو جالي ياخلي ال asymptotes فبعدي بقولك كمان هنا the asymptotes", "tokens": [9640, 13672, 1829, 8032, 2304, 9957, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 4032, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 29538, 34105, 16490, 2304, 3794, 3660, 4032, 11622, 13546, 2407, 37037, 24192, 34105, 8608, 6027, 3555, 16490, 2304, 3794, 3660, 4032, 11622, 13546, 2407, 10874, 6027, 1829, 7251, 47283, 20292, 2423, 35114, 17251, 6156, 3555, 22488, 1829, 4724, 39648, 4117, 9122, 2304, 7649, 34105, 264, 35114, 17251], "avg_logprob": -0.23333332657814027, "compression_ratio": 1.6575342465753424, "no_speech_prob": 0.0, "words": [{"start": 2678.52, "end": 2679.32, "word": "ار", "probability": 0.1021728515625}, {"start": 2679.32, "end": 2680.18, "word": " اللي", "probability": 0.543212890625}, {"start": 2680.18, "end": 2680.86, "word": " همين", "probability": 0.6299641927083334}, {"start": 2680.86, "end": 2681.92, "word": " زائد", "probability": 0.7371419270833334}, {"start": 2681.92, "end": 2682.22, "word": " او", "probability": 0.76611328125}, {"start": 2682.22, "end": 2682.84, "word": " ناقص", "probability": 0.9847412109375}, {"start": 2682.84, "end": 2684.04, "word": " خمسة", "probability": 0.9237060546875}, {"start": 2684.04, "end": 2685.38, "word": " وزيرو", "probability": 0.7388916015625}, {"start": 2685.38, "end": 2686.38, "word": " يبقى", "probability": 0.9517822265625}, {"start": 2686.38, "end": 2686.76, "word": " هذه", "probability": 0.69384765625}, {"start": 2686.76, "end": 2687.32, "word": " هنا", "probability": 0.83740234375}, {"start": 2687.32, "end": 2688.8, "word": " خمسة", "probability": 0.985595703125}, {"start": 2688.8, "end": 2689.86, "word": " وزيرو", "probability": 0.961181640625}, {"start": 2689.86, "end": 2690.8, "word": " وهذه", "probability": 0.80859375}, {"start": 2690.8, "end": 2691.36, "word": " هنا", "probability": 0.9609375}, {"start": 2691.36, "end": 2692.42, "word": " سالب", "probability": 0.9283854166666666}, {"start": 2692.42, "end": 2693.38, "word": " خمسة", "probability": 0.990234375}, {"start": 2693.38, "end": 2694.56, "word": " وزيرو", "probability": 0.9833984375}, {"start": 2694.56, "end": 2695.22, "word": " جالي", "probability": 0.7589518229166666}, {"start": 2695.22, "end": 2695.6, "word": " ياخلي", "probability": 0.5033365885416666}, {"start": 2695.6, "end": 2695.84, "word": " ال", "probability": 0.84716796875}, {"start": 2695.84, "end": 2696.78, "word": " asymptotes", "probability": 0.868896484375}, {"start": 2696.78, "end": 2697.66, "word": " فبعدي", "probability": 0.78936767578125}, {"start": 2697.66, "end": 2698.28, "word": " بقولك", "probability": 0.796630859375}, {"start": 2698.28, "end": 2698.88, "word": " كمان", "probability": 0.94677734375}, {"start": 2698.88, "end": 2699.5, "word": " هنا", "probability": 0.9619140625}, {"start": 2699.5, "end": 2700.52, "word": " the", "probability": 0.5}, {"start": 2700.52, "end": 2702.94, "word": " asymptotes", "probability": 0.965087890625}], "temperature": 1.0}, {"id": 116, "seek": 272701, "start": 2705.23, "end": 2727.01, "text": "الـ Y تساوي الزائد واناقص بي على ايه؟ جبتش الـ B عندي؟ يبقى تلاتة على أربعة يبقى تلاتة على أربعة X يبقى جبتله ال asymptotes وانتهينا من السؤال لو جاني أرسمهم", "tokens": [6027, 39184, 398, 6055, 3794, 995, 45865, 6024, 110, 16373, 3215, 4032, 7649, 995, 4587, 9381, 4724, 1829, 15844, 1975, 1829, 3224, 22807, 10874, 3555, 2655, 8592, 2423, 39184, 363, 18871, 16254, 22807, 7251, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 15844, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 15844, 5551, 25513, 27884, 1783, 7251, 3555, 4587, 7578, 10874, 3555, 2655, 43761, 2423, 35114, 17251, 4032, 7649, 47395, 1829, 8315, 9154, 21136, 33604, 6027, 45164, 10874, 7649, 1829, 5551, 2288, 38251, 16095], "avg_logprob": -0.34500719007404373, "compression_ratio": 1.622754491017964, "no_speech_prob": 0.0, "words": [{"start": 2705.23, "end": 2706.63, "word": "الـ", "probability": 0.37109375}, {"start": 2706.63, "end": 2706.95, "word": " Y", "probability": 0.36083984375}, {"start": 2706.95, "end": 2707.77, "word": " تساوي", "probability": 0.76397705078125}, {"start": 2707.77, "end": 2708.59, "word": " الزائد", "probability": 0.61676025390625}, {"start": 2708.59, "end": 2709.43, "word": " واناقص", "probability": 0.66669921875}, {"start": 2709.43, "end": 2710.49, "word": " بي", "probability": 0.5723876953125}, {"start": 2710.49, "end": 2710.91, "word": " على", "probability": 0.458740234375}, {"start": 2710.91, "end": 2712.01, "word": " ايه؟", "probability": 0.73675537109375}, {"start": 2712.01, "end": 2712.57, "word": " جبتش", "probability": 0.4805908203125}, {"start": 2712.57, "end": 2712.79, "word": " الـ", "probability": 0.67333984375}, {"start": 2712.79, "end": 2712.95, "word": " B", "probability": 0.402587890625}, {"start": 2712.95, "end": 2713.75, "word": " عندي؟", "probability": 0.8289388020833334}, {"start": 2713.75, "end": 2714.33, "word": " يبقى", "probability": 0.756072998046875}, {"start": 2714.33, "end": 2715.09, "word": " تلاتة", "probability": 0.873046875}, {"start": 2715.09, "end": 2715.37, "word": " على", "probability": 0.82421875}, {"start": 2715.37, "end": 2716.03, "word": " أربعة", "probability": 0.80078125}, {"start": 2716.03, "end": 2716.93, "word": " يبقى", "probability": 0.8892822265625}, {"start": 2716.93, "end": 2717.79, "word": " تلاتة", "probability": 0.9832763671875}, {"start": 2717.79, "end": 2718.19, "word": " على", "probability": 0.8759765625}, {"start": 2718.19, "end": 2719.27, "word": " أربعة", "probability": 0.94384765625}, {"start": 2719.27, "end": 2719.83, "word": " X", "probability": 0.87890625}, {"start": 2719.83, "end": 2720.71, "word": " يبقى", "probability": 0.86431884765625}, {"start": 2720.71, "end": 2721.19, "word": " جبتله", "probability": 0.7659912109375}, {"start": 2721.19, "end": 2721.35, "word": " ال", "probability": 0.9013671875}, {"start": 2721.35, "end": 2721.91, "word": " asymptotes", "probability": 0.51300048828125}, {"start": 2721.91, "end": 2722.77, "word": " وانتهينا", "probability": 0.9197265625}, {"start": 2722.77, "end": 2723.21, "word": " من", "probability": 0.98681640625}, {"start": 2723.21, "end": 2724.71, "word": " السؤال", "probability": 0.9934895833333334}, {"start": 2724.71, "end": 2725.87, "word": " لو", "probability": 0.361083984375}, {"start": 2725.87, "end": 2726.25, "word": " جاني", "probability": 0.743896484375}, {"start": 2726.25, "end": 2727.01, "word": " أرسمهم", "probability": 0.8682861328125}], "temperature": 1.0}, {"id": 117, "seek": 275484, "start": 2727.74, "end": 2754.84, "text": "يبقى بدك تيجي تقولي هذا هيك أو تيجي تقوله هذا ال asymptotes الأول و هذا ال asymptotes من أتان فبالمثال رقم اتنين بيقولي find the equation find the equation of the hyperbola", "tokens": [1829, 3555, 4587, 7578, 47525, 4117, 6055, 1829, 7435, 1829, 6055, 39648, 1829, 23758, 39896, 4117, 34051, 6055, 1829, 7435, 1829, 6055, 39648, 3224, 23758, 2423, 35114, 17251, 16247, 12610, 4032, 23758, 2423, 35114, 17251, 9154, 5551, 2655, 7649, 6156, 3555, 45340, 12984, 6027, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 4724, 1829, 39648, 1829, 915, 264, 5367, 915, 264, 5367, 295, 264, 9848, 65, 4711], "avg_logprob": -0.23472481343283583, "compression_ratio": 1.6490066225165563, "no_speech_prob": 0.0, "words": [{"start": 2727.74, "end": 2728.56, "word": "يبقى", "probability": 0.8184814453125}, {"start": 2728.56, "end": 2729.1, "word": " بدك", "probability": 0.9287109375}, {"start": 2729.1, "end": 2729.64, "word": " تيجي", "probability": 0.9619140625}, {"start": 2729.64, "end": 2730.34, "word": " تقولي", "probability": 0.89208984375}, {"start": 2730.34, "end": 2730.74, "word": " هذا", "probability": 0.90869140625}, {"start": 2730.74, "end": 2731.52, "word": " هيك", "probability": 0.802001953125}, {"start": 2731.52, "end": 2732.06, "word": " أو", "probability": 0.630859375}, {"start": 2732.06, "end": 2732.4, "word": " تيجي", "probability": 0.95751953125}, {"start": 2732.4, "end": 2732.88, "word": " تقوله", "probability": 0.8990885416666666}, {"start": 2732.88, "end": 2733.3, "word": " هذا", "probability": 0.91455078125}, {"start": 2733.3, "end": 2733.52, "word": " ال", "probability": 0.96435546875}, {"start": 2733.52, "end": 2734.4, "word": " asymptotes", "probability": 0.49127197265625}, {"start": 2734.4, "end": 2735.24, "word": " الأول", "probability": 0.918212890625}, {"start": 2735.24, "end": 2735.8, "word": " و", "probability": 0.5673828125}, {"start": 2735.8, "end": 2736.1, "word": " هذا", "probability": 0.8505859375}, {"start": 2736.1, "end": 2736.26, "word": " ال", "probability": 0.96240234375}, {"start": 2736.26, "end": 2737.02, "word": " asymptotes", "probability": 0.94482421875}, {"start": 2737.02, "end": 2737.54, "word": " من", "probability": 0.14794921875}, {"start": 2737.54, "end": 2738.58, "word": " أتان", "probability": 0.6285807291666666}, {"start": 2738.58, "end": 2740.06, "word": " فبالمثال", "probability": 0.87138671875}, {"start": 2740.06, "end": 2740.68, "word": " رقم", "probability": 0.982421875}, {"start": 2740.68, "end": 2741.44, "word": " اتنين", "probability": 0.9464111328125}, {"start": 2741.44, "end": 2743.48, "word": " بيقولي", "probability": 0.8026123046875}, {"start": 2743.48, "end": 2743.7, "word": " find", "probability": 0.8740234375}, {"start": 2743.7, "end": 2743.98, "word": " the", "probability": 0.7578125}, {"start": 2743.98, "end": 2744.74, "word": " equation", "probability": 0.97119140625}, {"start": 2744.74, "end": 2745.78, "word": " find", "probability": 0.36083984375}, {"start": 2745.78, "end": 2747.3, "word": " the", "probability": 0.869140625}, {"start": 2747.3, "end": 2748.8, "word": " equation", "probability": 0.98193359375}, {"start": 2748.8, "end": 2750.46, "word": " of", "probability": 0.97509765625}, {"start": 2750.46, "end": 2751.76, "word": " the", "probability": 0.70654296875}, {"start": 2751.76, "end": 2754.84, "word": " hyperbola", "probability": 0.5968424479166666}], "temperature": 1.0}, {"id": 118, "seek": 277261, "start": 2764.57, "end": 2772.61, "text": "أو نقص تمانية and asymptotes", "tokens": [10721, 2407, 8717, 4587, 9381, 46811, 7649, 10632, 293, 35114, 17251], "avg_logprob": -0.735026016831398, "compression_ratio": 0.8297872340425532, "no_speech_prob": 0.0, "words": [{"start": 2764.5699999999997, "end": 2765.97, "word": "أو", "probability": 0.14208984375}, {"start": 2765.97, "end": 2767.37, "word": " نقص", "probability": 0.8047688802083334}, {"start": 2767.37, "end": 2768.35, "word": " تمانية", "probability": 0.8623046875}, {"start": 2768.35, "end": 2769.61, "word": " and", "probability": 0.0916748046875}, {"start": 2769.61, "end": 2772.61, "word": " asymptotes", "probability": 0.745849609375}], "temperature": 1.0}, {"id": 119, "seek": 278433, "start": 2774.77, "end": 2784.33, "text": "والسمتتز الهمين Y تساوي زيد أو ناقص أربعة على تلاتة X", "tokens": [2407, 6027, 3794, 2304, 2655, 2655, 11622, 2423, 16095, 9957, 398, 6055, 3794, 995, 45865, 30767, 25708, 34051, 8717, 995, 4587, 9381, 5551, 25513, 27884, 15844, 6055, 1211, 9307, 3660, 1783], "avg_logprob": -0.5429687518626451, "compression_ratio": 1.146341463414634, "no_speech_prob": 0.0, "words": [{"start": 2774.77, "end": 2776.17, "word": "والسمتتز", "probability": 0.42783900669642855}, {"start": 2776.17, "end": 2777.57, "word": " الهمين", "probability": 0.4822591145833333}, {"start": 2777.57, "end": 2778.37, "word": " Y", "probability": 0.1719970703125}, {"start": 2778.37, "end": 2779.27, "word": " تساوي", "probability": 0.7769775390625}, {"start": 2779.27, "end": 2780.31, "word": " زيد", "probability": 0.4259033203125}, {"start": 2780.31, "end": 2780.53, "word": " أو", "probability": 0.5888671875}, {"start": 2780.53, "end": 2781.19, "word": " ناقص", "probability": 0.9840087890625}, {"start": 2781.19, "end": 2782.31, "word": " أربعة", "probability": 0.704833984375}, {"start": 2782.31, "end": 2782.97, "word": " على", "probability": 0.65966796875}, {"start": 2782.97, "end": 2783.91, "word": " تلاتة", "probability": 0.94580078125}, {"start": 2783.91, "end": 2784.33, "word": " X", "probability": 0.60693359375}], "temperature": 1.0}, {"id": 120, "seek": 282661, "start": 2819.45, "end": 2826.61, "text": "قال لي هاتلي محاط اللي هاي ال parabola ميعطيني ال vertices معموله shift ولو ما هوش معموله shift", "tokens": [4587, 6027, 32239, 8032, 9307, 20292, 3714, 5016, 41193, 13672, 1829, 8032, 47302, 2423, 45729, 4711, 3714, 1829, 3615, 9566, 9957, 1829, 2423, 32053, 3714, 25957, 12610, 3224, 5513, 35525, 2407, 19446, 31439, 8592, 3714, 25957, 12610, 3224, 5513], "avg_logprob": -0.5507812589406967, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 2819.4500000000003, "end": 2820.13, "word": "قال", "probability": 0.53277587890625}, {"start": 2820.13, "end": 2820.21, "word": " لي", "probability": 0.44921875}, {"start": 2820.21, "end": 2820.61, "word": " هاتلي", "probability": 0.4645182291666667}, {"start": 2820.61, "end": 2821.03, "word": " محاط", "probability": 0.45556640625}, {"start": 2821.03, "end": 2821.19, "word": " اللي", "probability": 0.6326904296875}, {"start": 2821.19, "end": 2821.35, "word": " هاي", "probability": 0.51318359375}, {"start": 2821.35, "end": 2821.45, "word": " ال", "probability": 0.3330078125}, {"start": 2821.45, "end": 2821.93, "word": " parabola", "probability": 0.6983642578125}, {"start": 2821.93, "end": 2822.59, "word": " ميعطيني", "probability": 0.711181640625}, {"start": 2822.59, "end": 2822.73, "word": " ال", "probability": 0.98193359375}, {"start": 2822.73, "end": 2823.41, "word": " vertices", "probability": 0.84423828125}, {"start": 2823.41, "end": 2824.89, "word": " معموله", "probability": 0.6280517578125}, {"start": 2824.89, "end": 2825.17, "word": " shift", "probability": 0.689453125}, {"start": 2825.17, "end": 2825.43, "word": " ولو", "probability": 0.52227783203125}, {"start": 2825.43, "end": 2825.49, "word": " ما", "probability": 0.8349609375}, {"start": 2825.49, "end": 2825.79, "word": " هوش", "probability": 0.76025390625}, {"start": 2825.79, "end": 2826.23, "word": " معموله", "probability": 0.920166015625}, {"start": 2826.23, "end": 2826.61, "word": " shift", "probability": 0.828125}], "temperature": 1.0}, {"id": 121, "seek": 284299, "start": 2827.05, "end": 2842.99, "text": "تمام تمام بلاش هذا الرسمة بتبعتنا يبقى هذا X و هذا Y 0 8 يبقى متجيلك هنا 0 8 مثلا", "tokens": [39237, 10943, 46811, 10943, 4724, 1211, 33599, 23758, 34892, 38251, 3660, 39894, 3555, 34268, 8315, 7251, 3555, 4587, 7578, 23758, 1783, 4032, 23758, 398, 1958, 1649, 7251, 3555, 4587, 7578, 44650, 7435, 1829, 23275, 34105, 1958, 1649, 50113, 15040], "avg_logprob": -0.3869140662252903, "compression_ratio": 1.3979591836734695, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2827.05, "end": 2829.25, "word": "تمام", "probability": 0.537689208984375}, {"start": 2829.25, "end": 2829.83, "word": " تمام", "probability": 0.864990234375}, {"start": 2829.83, "end": 2830.63, "word": " بلاش", "probability": 0.7277018229166666}, {"start": 2830.63, "end": 2831.95, "word": " هذا", "probability": 0.56201171875}, {"start": 2831.95, "end": 2833.17, "word": " الرسمة", "probability": 0.7064208984375}, {"start": 2833.17, "end": 2834.05, "word": " بتبعتنا", "probability": 0.74688720703125}, {"start": 2834.05, "end": 2834.87, "word": " يبقى", "probability": 0.9327392578125}, {"start": 2834.87, "end": 2835.09, "word": " هذا", "probability": 0.66796875}, {"start": 2835.09, "end": 2835.57, "word": " X", "probability": 0.74658203125}, {"start": 2835.57, "end": 2836.05, "word": " و", "probability": 0.5146484375}, {"start": 2836.05, "end": 2836.35, "word": " هذا", "probability": 0.92041015625}, {"start": 2836.35, "end": 2836.77, "word": " Y", "probability": 0.98583984375}, {"start": 2836.77, "end": 2837.79, "word": " 0", "probability": 0.175048828125}, {"start": 2837.79, "end": 2838.63, "word": " 8", "probability": 0.447021484375}, {"start": 2838.63, "end": 2839.59, "word": " يبقى", "probability": 0.9425048828125}, {"start": 2839.59, "end": 2840.27, "word": " متجيلك", "probability": 0.7017822265625}, {"start": 2840.27, "end": 2840.89, "word": " هنا", "probability": 0.9150390625}, {"start": 2840.89, "end": 2841.67, "word": " 0", "probability": 0.638671875}, {"start": 2841.67, "end": 2842.39, "word": " 8", "probability": 0.833984375}, {"start": 2842.39, "end": 2842.99, "word": " مثلا", "probability": 0.979736328125}], "temperature": 1.0}, {"id": 122, "seek": 286160, "start": 2843.4, "end": 2861.6, "text": "زيرو سالب تمانية يبقى هاد زيرو سالب تمانية هاد ال vertex اذا بدي يكون بالشكل هذا و هاد ال vertex التاني بدي يكون بالشكل التاني يبقى هاد زيرو تمانية و هاد زيرو سالب تمانية", "tokens": [11622, 13546, 2407, 8608, 6027, 3555, 46811, 7649, 10632, 7251, 3555, 4587, 7578, 8032, 18513, 30767, 13546, 2407, 8608, 6027, 3555, 46811, 7649, 10632, 8032, 18513, 2423, 28162, 1975, 15730, 4724, 16254, 7251, 30544, 20666, 8592, 28820, 23758, 4032, 8032, 18513, 2423, 28162, 16712, 7649, 1829, 4724, 16254, 7251, 30544, 20666, 8592, 28820, 16712, 7649, 1829, 7251, 3555, 4587, 7578, 8032, 18513, 30767, 13546, 2407, 46811, 7649, 10632, 4032, 8032, 18513, 30767, 13546, 2407, 8608, 6027, 3555, 46811, 7649, 10632], "avg_logprob": -0.2652391975308642, "compression_ratio": 2.5213675213675213, "no_speech_prob": 0.0, "words": [{"start": 2843.4, "end": 2844.14, "word": "زيرو", "probability": 0.3333333333333333}, {"start": 2844.14, "end": 2844.68, "word": " سالب", "probability": 0.8899739583333334}, {"start": 2844.68, "end": 2845.4, "word": " تمانية", "probability": 0.9778645833333334}, {"start": 2845.4, "end": 2845.86, "word": " يبقى", "probability": 0.79296875}, {"start": 2845.86, "end": 2846.14, "word": " هاد", "probability": 0.178924560546875}, {"start": 2846.14, "end": 2846.58, "word": " زيرو", "probability": 0.7060953776041666}, {"start": 2846.58, "end": 2847.02, "word": " سالب", "probability": 0.9617513020833334}, {"start": 2847.02, "end": 2847.58, "word": " تمانية", "probability": 0.9866536458333334}, {"start": 2847.58, "end": 2848.4, "word": " هاد", "probability": 0.62646484375}, {"start": 2848.4, "end": 2848.6, "word": " ال", "probability": 0.82470703125}, {"start": 2848.6, "end": 2849.3, "word": " vertex", "probability": 0.65380859375}, {"start": 2849.3, "end": 2849.74, "word": " اذا", "probability": 0.57745361328125}, {"start": 2849.74, "end": 2850.14, "word": " بدي", "probability": 0.6182861328125}, {"start": 2850.14, "end": 2850.74, "word": " يكون", "probability": 0.932373046875}, {"start": 2850.74, "end": 2851.36, "word": " بالشكل", "probability": 0.9508463541666666}, {"start": 2851.36, "end": 2851.86, "word": " هذا", "probability": 0.677734375}, {"start": 2851.86, "end": 2852.5, "word": " و", "probability": 0.58984375}, {"start": 2852.5, "end": 2852.8, "word": " هاد", "probability": 0.857666015625}, {"start": 2852.8, "end": 2852.94, "word": " ال", "probability": 0.95849609375}, {"start": 2852.94, "end": 2853.42, "word": " vertex", "probability": 0.89599609375}, {"start": 2853.42, "end": 2853.98, "word": " التاني", "probability": 0.9230143229166666}, {"start": 2853.98, "end": 2854.22, "word": " بدي", "probability": 0.616455078125}, {"start": 2854.22, "end": 2854.48, "word": " يكون", "probability": 0.976806640625}, {"start": 2854.48, "end": 2855.0, "word": " بالشكل", "probability": 0.9827473958333334}, {"start": 2855.0, "end": 2855.58, "word": " التاني", "probability": 0.9695638020833334}, {"start": 2855.58, "end": 2856.68, "word": " يبقى", "probability": 0.84039306640625}, {"start": 2856.68, "end": 2856.94, "word": " هاد", "probability": 0.7509765625}, {"start": 2856.94, "end": 2857.52, "word": " زيرو", "probability": 0.8665364583333334}, {"start": 2857.52, "end": 2858.3, "word": " تمانية", "probability": 0.98583984375}, {"start": 2858.3, "end": 2858.84, "word": " و", "probability": 0.71435546875}, {"start": 2858.84, "end": 2859.12, "word": " هاد", "probability": 0.845947265625}, {"start": 2859.12, "end": 2860.04, "word": " زيرو", "probability": 0.9713541666666666}, {"start": 2860.04, "end": 2860.94, "word": " سالب", "probability": 0.931640625}, {"start": 2860.94, "end": 2861.6, "word": " تمانية", "probability": 0.9881184895833334}], "temperature": 1.0}, {"id": 123, "seek": 288458, "start": 2862.2, "end": 2884.58, "text": "جاليا الـ Symptotes اللي على الشكل اللي عندنا هذا تمام يبقى automatic بقول له هذه على الشكل التاني اليمين A على B إذا A تسوى أربعة وB تسوى تلاتة صح؟ A تسوى أربعة وB تسوى تلاتة بصبح؟", "tokens": [7435, 6027, 25528, 2423, 39184, 28877, 662, 17251, 13672, 1829, 15844, 25124, 28820, 13672, 1829, 43242, 8315, 23758, 46811, 10943, 7251, 3555, 4587, 7578, 12509, 4724, 39648, 46740, 29538, 15844, 25124, 28820, 16712, 7649, 1829, 2423, 32640, 9957, 316, 15844, 363, 11933, 15730, 316, 6055, 3794, 2407, 7578, 5551, 25513, 27884, 4032, 33, 6055, 3794, 2407, 7578, 6055, 1211, 9307, 3660, 20328, 5016, 22807, 316, 6055, 3794, 2407, 7578, 5551, 25513, 27884, 4032, 33, 6055, 3794, 2407, 7578, 6055, 1211, 9307, 3660, 4724, 9381, 3555, 5016, 22807], "avg_logprob": -0.26402697712183, "compression_ratio": 1.78698224852071, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2862.2, "end": 2862.98, "word": "جاليا", "probability": 0.4793294270833333}, {"start": 2862.98, "end": 2863.32, "word": " الـ", "probability": 0.755615234375}, {"start": 2863.32, "end": 2864.18, "word": " Symptotes", "probability": 0.5664876302083334}, {"start": 2864.18, "end": 2864.68, "word": " اللي", "probability": 0.62841796875}, {"start": 2864.68, "end": 2865.0, "word": " على", "probability": 0.72265625}, {"start": 2865.0, "end": 2865.54, "word": " الشكل", "probability": 0.955810546875}, {"start": 2865.54, "end": 2865.72, "word": " اللي", "probability": 0.9443359375}, {"start": 2865.72, "end": 2866.26, "word": " عندنا", "probability": 0.9599609375}, {"start": 2866.26, "end": 2866.68, "word": " هذا", "probability": 0.884765625}, {"start": 2866.68, "end": 2867.72, "word": " تمام", "probability": 0.6146240234375}, {"start": 2867.72, "end": 2868.76, "word": " يبقى", "probability": 0.80224609375}, {"start": 2868.76, "end": 2869.42, "word": " automatic", "probability": 0.39599609375}, {"start": 2869.42, "end": 2870.42, "word": " بقول", "probability": 0.8935546875}, {"start": 2870.42, "end": 2870.54, "word": " له", "probability": 0.568359375}, {"start": 2870.54, "end": 2870.78, "word": " هذه", "probability": 0.370361328125}, {"start": 2870.78, "end": 2871.02, "word": " على", "probability": 0.919921875}, {"start": 2871.02, "end": 2871.46, "word": " الشكل", "probability": 0.942626953125}, {"start": 2871.46, "end": 2871.9, "word": " التاني", "probability": 0.8946940104166666}, {"start": 2871.9, "end": 2872.5, "word": " اليمين", "probability": 0.87158203125}, {"start": 2872.5, "end": 2873.02, "word": " A", "probability": 0.55224609375}, {"start": 2873.02, "end": 2873.4, "word": " على", "probability": 0.724609375}, {"start": 2873.4, "end": 2873.72, "word": " B", "probability": 0.96142578125}, {"start": 2873.72, "end": 2874.48, "word": " إذا", "probability": 0.5194091796875}, {"start": 2874.48, "end": 2874.9, "word": " A", "probability": 0.79443359375}, {"start": 2874.9, "end": 2875.5, "word": " تسوى", "probability": 0.7115478515625}, {"start": 2875.5, "end": 2875.96, "word": " أربعة", "probability": 0.8429361979166666}, {"start": 2875.96, "end": 2876.26, "word": " وB", "probability": 0.705810546875}, {"start": 2876.26, "end": 2876.92, "word": " تسوى", "probability": 0.973876953125}, {"start": 2876.92, "end": 2877.58, "word": " تلاتة", "probability": 0.9171142578125}, {"start": 2877.58, "end": 2880.92, "word": " صح؟", "probability": 0.8486328125}, {"start": 2880.92, "end": 2881.24, "word": " A", "probability": 0.740234375}, {"start": 2881.24, "end": 2882.04, "word": " تسوى", "probability": 0.975341796875}, {"start": 2882.04, "end": 2882.62, "word": " أربعة", "probability": 0.94287109375}, {"start": 2882.62, "end": 2882.94, "word": " وB", "probability": 0.9453125}, {"start": 2882.94, "end": 2883.5, "word": " تسوى", "probability": 0.988037109375}, {"start": 2883.5, "end": 2883.9, "word": " تلاتة", "probability": 0.9921875}, {"start": 2883.9, "end": 2884.58, "word": " بصبح؟", "probability": 0.593994140625}], "temperature": 1.0}, {"id": 124, "seek": 289995, "start": 2887.23, "end": 2899.95, "text": "يعني كلامه مش صحيح، طب هذا كلام عمره ما كان صحيح للاربعة، هذه نسبة بعد ما دسمت صارت بالشكل اللي عندنا هذا، تمام؟ يعني قد تكون تمانية على ستة", "tokens": [40228, 22653, 28242, 10943, 3224, 37893, 20328, 5016, 1829, 5016, 12399, 23032, 3555, 23758, 28242, 10943, 6225, 29973, 3224, 19446, 25961, 20328, 5016, 1829, 5016, 24976, 9640, 3555, 27884, 12399, 29538, 8717, 35457, 3660, 39182, 19446, 11778, 38251, 2655, 20328, 9640, 2655, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 12399, 46811, 10943, 22807, 37495, 22653, 12174, 3215, 6055, 30544, 46811, 7649, 10632, 15844, 8608, 2655, 3660], "avg_logprob": -0.18301930015577988, "compression_ratio": 1.726027397260274, "no_speech_prob": 0.0, "words": [{"start": 2887.23, "end": 2887.59, "word": "يعني", "probability": 0.898193359375}, {"start": 2887.59, "end": 2888.01, "word": " كلامه", "probability": 0.6024576822916666}, {"start": 2888.01, "end": 2888.13, "word": " مش", "probability": 0.96435546875}, {"start": 2888.13, "end": 2889.31, "word": " صحيح،", "probability": 0.905078125}, {"start": 2889.31, "end": 2889.59, "word": " طب", "probability": 0.81298828125}, {"start": 2889.59, "end": 2889.77, "word": " هذا", "probability": 0.327392578125}, {"start": 2889.77, "end": 2890.11, "word": " كلام", "probability": 0.94140625}, {"start": 2890.11, "end": 2890.53, "word": " عمره", "probability": 0.9812825520833334}, {"start": 2890.53, "end": 2890.61, "word": " ما", "probability": 0.9140625}, {"start": 2890.61, "end": 2890.77, "word": " كان", "probability": 0.8330078125}, {"start": 2890.77, "end": 2891.25, "word": " صحيح", "probability": 0.9931640625}, {"start": 2891.25, "end": 2891.81, "word": " للاربعة،", "probability": 0.675390625}, {"start": 2891.81, "end": 2892.07, "word": " هذه", "probability": 0.85888671875}, {"start": 2892.07, "end": 2893.05, "word": " نسبة", "probability": 0.9200846354166666}, {"start": 2893.05, "end": 2893.61, "word": " بعد", "probability": 0.93017578125}, {"start": 2893.61, "end": 2893.89, "word": " ما", "probability": 0.8134765625}, {"start": 2893.89, "end": 2894.49, "word": " دسمت", "probability": 0.7755533854166666}, {"start": 2894.49, "end": 2894.81, "word": " صارت", "probability": 0.8152669270833334}, {"start": 2894.81, "end": 2895.29, "word": " بالشكل", "probability": 0.9853515625}, {"start": 2895.29, "end": 2895.49, "word": " اللي", "probability": 0.934326171875}, {"start": 2895.49, "end": 2895.83, "word": " عندنا", "probability": 0.481689453125}, {"start": 2895.83, "end": 2896.49, "word": " هذا،", "probability": 0.88525390625}, {"start": 2896.49, "end": 2897.17, "word": " تمام؟", "probability": 0.8199869791666666}, {"start": 2897.17, "end": 2897.49, "word": " يعني", "probability": 0.9677734375}, {"start": 2897.49, "end": 2897.99, "word": " قد", "probability": 0.99560546875}, {"start": 2897.99, "end": 2898.53, "word": " تكون", "probability": 0.97216796875}, {"start": 2898.53, "end": 2899.09, "word": " تمانية", "probability": 0.9147135416666666}, {"start": 2899.09, "end": 2899.33, "word": " على", "probability": 0.83251953125}, {"start": 2899.33, "end": 2899.95, "word": " ستة", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 125, "seek": 292413, "start": 2901.47, "end": 2924.13, "text": "يبقى بالشكل ان هذا يبقى ومن هنا من جثة ل A باربعة وB بتلاتة بقولك تاخد عليها Zero لكن قد يحدث ممكن تكون صحيحة لكن الحقيقة ماهياش صحية بقوله solution بدأت أقوله الآن ال A على B بده يسوى أربعة على ثلاثة", "tokens": [1829, 3555, 4587, 7578, 20666, 8592, 28820, 16472, 23758, 7251, 3555, 4587, 7578, 4032, 27842, 34105, 9154, 10874, 12984, 3660, 5296, 316, 4724, 9640, 3555, 27884, 4032, 33, 4724, 2655, 1211, 9307, 3660, 4724, 39648, 4117, 6055, 47283, 3215, 25894, 11296, 17182, 44381, 12174, 3215, 7251, 24401, 12984, 3714, 43020, 6055, 30544, 20328, 5016, 1829, 5016, 3660, 44381, 21542, 38436, 28671, 19446, 3224, 1829, 33599, 20328, 5016, 10632, 4724, 39648, 3224, 3827, 4724, 3215, 10721, 2655, 5551, 39648, 3224, 6024, 48506, 2423, 316, 15844, 363, 47525, 3224, 7251, 3794, 2407, 7578, 5551, 25513, 27884, 15844, 38637, 1211, 5718, 104, 3660], "avg_logprob": -0.3208539568551696, "compression_ratio": 1.698019801980198, "no_speech_prob": 0.0, "words": [{"start": 2901.47, "end": 2902.43, "word": "يبقى", "probability": 0.621337890625}, {"start": 2902.43, "end": 2902.79, "word": " بالشكل", "probability": 0.7659505208333334}, {"start": 2902.79, "end": 2903.09, "word": " ان", "probability": 0.32861328125}, {"start": 2903.09, "end": 2903.39, "word": " هذا", "probability": 0.611328125}, {"start": 2903.39, "end": 2903.79, "word": " يبقى", "probability": 0.75457763671875}, {"start": 2903.79, "end": 2904.01, "word": " ومن", "probability": 0.602783203125}, {"start": 2904.01, "end": 2904.53, "word": " هنا", "probability": 0.98046875}, {"start": 2904.53, "end": 2905.19, "word": " من", "probability": 0.7509765625}, {"start": 2905.19, "end": 2905.69, "word": " جثة", "probability": 0.4938151041666667}, {"start": 2905.69, "end": 2905.85, "word": " ل", "probability": 0.8544921875}, {"start": 2905.85, "end": 2906.09, "word": " A", "probability": 0.278564453125}, {"start": 2906.09, "end": 2906.77, "word": " باربعة", "probability": 0.69921875}, {"start": 2906.77, "end": 2907.15, "word": " وB", "probability": 0.615234375}, {"start": 2907.15, "end": 2907.91, "word": " بتلاتة", "probability": 0.8771484375}, {"start": 2907.91, "end": 2908.49, "word": " بقولك", "probability": 0.8115234375}, {"start": 2908.49, "end": 2908.85, "word": " تاخد", "probability": 0.95849609375}, {"start": 2908.85, "end": 2909.17, "word": " عليها", "probability": 0.984130859375}, {"start": 2909.17, "end": 2909.55, "word": " Zero", "probability": 0.388916015625}, {"start": 2909.55, "end": 2910.11, "word": " لكن", "probability": 0.65283203125}, {"start": 2910.11, "end": 2910.47, "word": " قد", "probability": 0.968505859375}, {"start": 2910.47, "end": 2910.81, "word": " يحدث", "probability": 0.9519856770833334}, {"start": 2910.81, "end": 2911.15, "word": " ممكن", "probability": 0.822509765625}, {"start": 2911.15, "end": 2911.49, "word": " تكون", "probability": 0.981201171875}, {"start": 2911.49, "end": 2912.25, "word": " صحيحة", "probability": 0.983203125}, {"start": 2912.25, "end": 2912.65, "word": " لكن", "probability": 0.80224609375}, {"start": 2912.65, "end": 2913.37, "word": " الحقيقة", "probability": 0.9873046875}, {"start": 2913.37, "end": 2914.09, "word": " ماهياش", "probability": 0.9234619140625}, {"start": 2914.09, "end": 2914.69, "word": " صحية", "probability": 0.9013671875}, {"start": 2914.69, "end": 2915.99, "word": " بقوله", "probability": 0.9326171875}, {"start": 2915.99, "end": 2917.15, "word": " solution", "probability": 0.69677734375}, {"start": 2917.15, "end": 2918.15, "word": " بدأت", "probability": 0.43133544921875}, {"start": 2918.15, "end": 2918.71, "word": " أقوله", "probability": 0.728515625}, {"start": 2918.71, "end": 2919.35, "word": " الآن", "probability": 0.72900390625}, {"start": 2919.35, "end": 2920.13, "word": " ال", "probability": 0.82666015625}, {"start": 2920.13, "end": 2920.73, "word": " A", "probability": 0.86376953125}, {"start": 2920.73, "end": 2921.51, "word": " على", "probability": 0.5439453125}, {"start": 2921.51, "end": 2921.85, "word": " B", "probability": 0.9384765625}, {"start": 2921.85, "end": 2922.31, "word": " بده", "probability": 0.3494873046875}, {"start": 2922.31, "end": 2922.69, "word": " يسوى", "probability": 0.6937255859375}, {"start": 2922.69, "end": 2923.15, "word": " أربعة", "probability": 0.752685546875}, {"start": 2923.15, "end": 2923.39, "word": " على", "probability": 0.90771484375}, {"start": 2923.39, "end": 2924.13, "word": " ثلاثة", "probability": 0.8990234375}], "temperature": 1.0}, {"id": 126, "seek": 295092, "start": 2924.64, "end": 2950.92, "text": "معنى هذا الكلام إنه تلاتة A بده يساوي مين؟ أربعة B طب احنا عندنا ال A قداش تساوي تمانية وعندنا ال A تساوي تمانية إذا أصار عندنا تلاتة في تمانية يساوي أربعة B ومنها B تساوي ستة", "tokens": [2304, 3615, 1863, 7578, 23758, 2423, 28820, 10943, 36145, 3224, 6055, 1211, 9307, 3660, 316, 47525, 3224, 7251, 3794, 995, 45865, 3714, 9957, 22807, 5551, 25513, 27884, 363, 23032, 3555, 1975, 5016, 8315, 43242, 8315, 2423, 316, 12174, 3215, 33599, 6055, 3794, 995, 45865, 46811, 7649, 10632, 4032, 3615, 41260, 8315, 2423, 316, 6055, 3794, 995, 45865, 46811, 7649, 10632, 11933, 15730, 5551, 9381, 9640, 43242, 8315, 6055, 1211, 9307, 3660, 8978, 46811, 7649, 10632, 7251, 3794, 995, 45865, 5551, 25513, 27884, 363, 4032, 27842, 11296, 363, 6055, 3794, 995, 45865, 8608, 2655, 3660], "avg_logprob": -0.1968749940395355, "compression_ratio": 2.0, "no_speech_prob": 0.0, "words": [{"start": 2924.64, "end": 2925.18, "word": "معنى", "probability": 0.8389892578125}, {"start": 2925.18, "end": 2925.52, "word": " هذا", "probability": 0.92138671875}, {"start": 2925.52, "end": 2926.48, "word": " الكلام", "probability": 0.9549153645833334}, {"start": 2926.48, "end": 2927.34, "word": " إنه", "probability": 0.52587890625}, {"start": 2927.34, "end": 2928.28, "word": " تلاتة", "probability": 0.9132080078125}, {"start": 2928.28, "end": 2928.62, "word": " A", "probability": 0.5419921875}, {"start": 2928.62, "end": 2929.08, "word": " بده", "probability": 0.4393310546875}, {"start": 2929.08, "end": 2929.42, "word": " يساوي", "probability": 0.8740234375}, {"start": 2929.42, "end": 2930.28, "word": " مين؟", "probability": 0.5811360677083334}, {"start": 2930.28, "end": 2931.36, "word": " أربعة", "probability": 0.8639322916666666}, {"start": 2931.36, "end": 2931.74, "word": " B", "probability": 0.7109375}, {"start": 2931.74, "end": 2932.44, "word": " طب", "probability": 0.78271484375}, {"start": 2932.44, "end": 2932.76, "word": " احنا", "probability": 0.8055826822916666}, {"start": 2932.76, "end": 2933.44, "word": " عندنا", "probability": 0.986083984375}, {"start": 2933.44, "end": 2933.7, "word": " ال", "probability": 0.951171875}, {"start": 2933.7, "end": 2933.98, "word": " A", "probability": 0.7099609375}, {"start": 2933.98, "end": 2934.4, "word": " قداش", "probability": 0.6498209635416666}, {"start": 2934.4, "end": 2935.14, "word": " تساوي", "probability": 0.9677734375}, {"start": 2935.14, "end": 2936.42, "word": " تمانية", "probability": 0.9200846354166666}, {"start": 2936.42, "end": 2937.62, "word": " وعندنا", "probability": 0.779052734375}, {"start": 2937.62, "end": 2937.92, "word": " ال", "probability": 0.98828125}, {"start": 2937.92, "end": 2938.42, "word": " A", "probability": 0.97900390625}, {"start": 2938.42, "end": 2939.42, "word": " تساوي", "probability": 0.9840087890625}, {"start": 2939.42, "end": 2940.22, "word": " تمانية", "probability": 0.9861653645833334}, {"start": 2940.22, "end": 2940.84, "word": " إذا", "probability": 0.87158203125}, {"start": 2940.84, "end": 2941.34, "word": " أصار", "probability": 0.6259765625}, {"start": 2941.34, "end": 2942.04, "word": " عندنا", "probability": 0.9921875}, {"start": 2942.04, "end": 2943.18, "word": " تلاتة", "probability": 0.9886474609375}, {"start": 2943.18, "end": 2943.44, "word": " في", "probability": 0.95556640625}, {"start": 2943.44, "end": 2944.5, "word": " تمانية", "probability": 0.9928385416666666}, {"start": 2944.5, "end": 2945.6, "word": " يساوي", "probability": 0.96728515625}, {"start": 2945.6, "end": 2946.4, "word": " أربعة", "probability": 0.9412434895833334}, {"start": 2946.4, "end": 2946.78, "word": " B", "probability": 0.9716796875}, {"start": 2946.78, "end": 2947.86, "word": " ومنها", "probability": 0.82421875}, {"start": 2947.86, "end": 2948.02, "word": " B", "probability": 0.853515625}, {"start": 2948.02, "end": 2948.88, "word": " تساوي", "probability": 0.984130859375}, {"start": 2948.88, "end": 2950.92, "word": " ستة", "probability": 0.7063395182291666}], "temperature": 1.0}, {"id": 127, "seek": 297040, "start": 2953.12, "end": 2970.4, "text": "يبقى صارت A معروفة وB معروفة، وإيش قال لي؟ قال لي بدي المعادلة، بقدر أكتب له المعادلة مباشرة، يبقى المعادلة هذه Y تربية على A تربية ناقص X تربية على B تربية يساوي واحد", "tokens": [1829, 3555, 4587, 7578, 20328, 9640, 2655, 316, 20449, 32887, 5172, 3660, 4032, 33, 20449, 32887, 5172, 3660, 12399, 4032, 28814, 1829, 8592, 50239, 32239, 22807, 50239, 32239, 4724, 16254, 9673, 3615, 18513, 37977, 12399, 4724, 28543, 2288, 5551, 4117, 2655, 3555, 46740, 9673, 3615, 18513, 37977, 3714, 3555, 33599, 25720, 12399, 7251, 3555, 4587, 7578, 9673, 3615, 18513, 37977, 29538, 398, 6055, 25513, 10632, 15844, 316, 6055, 25513, 10632, 8717, 995, 4587, 9381, 1783, 6055, 25513, 10632, 15844, 363, 6055, 25513, 10632, 7251, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.21249999354283014, "compression_ratio": 1.891025641025641, "no_speech_prob": 0.0, "words": [{"start": 2953.12, "end": 2953.5, "word": "يبقى", "probability": 0.79827880859375}, {"start": 2953.5, "end": 2954.26, "word": " صارت", "probability": 0.5838216145833334}, {"start": 2954.26, "end": 2954.76, "word": " A", "probability": 0.2958984375}, {"start": 2954.76, "end": 2955.46, "word": " معروفة", "probability": 0.8348388671875}, {"start": 2955.46, "end": 2955.64, "word": " وB", "probability": 0.7587890625}, {"start": 2955.64, "end": 2956.06, "word": " معروفة،", "probability": 0.87841796875}, {"start": 2956.06, "end": 2956.34, "word": " وإيش", "probability": 0.598419189453125}, {"start": 2956.34, "end": 2956.6, "word": " قال", "probability": 0.7841796875}, {"start": 2956.6, "end": 2956.8, "word": " لي؟", "probability": 0.6630859375}, {"start": 2956.8, "end": 2957.0, "word": " قال", "probability": 0.80322265625}, {"start": 2957.0, "end": 2957.16, "word": " لي", "probability": 0.86572265625}, {"start": 2957.16, "end": 2957.4, "word": " بدي", "probability": 0.55487060546875}, {"start": 2957.4, "end": 2958.64, "word": " المعادلة،", "probability": 0.8810546875}, {"start": 2958.64, "end": 2959.24, "word": " بقدر", "probability": 0.9822591145833334}, {"start": 2959.24, "end": 2959.68, "word": " أكتب", "probability": 0.8223876953125}, {"start": 2959.68, "end": 2959.78, "word": " له", "probability": 0.7900390625}, {"start": 2959.78, "end": 2960.48, "word": " المعادلة", "probability": 0.99462890625}, {"start": 2960.48, "end": 2961.56, "word": " مباشرة،", "probability": 0.894873046875}, {"start": 2961.56, "end": 2962.26, "word": " يبقى", "probability": 0.9803466796875}, {"start": 2962.26, "end": 2962.98, "word": " المعادلة", "probability": 0.9945068359375}, {"start": 2962.98, "end": 2963.34, "word": " هذه", "probability": 0.50439453125}, {"start": 2963.34, "end": 2963.8, "word": " Y", "probability": 0.6689453125}, {"start": 2963.8, "end": 2964.48, "word": " تربية", "probability": 0.8509114583333334}, {"start": 2964.48, "end": 2964.82, "word": " على", "probability": 0.7568359375}, {"start": 2964.82, "end": 2965.18, "word": " A", "probability": 0.95361328125}, {"start": 2965.18, "end": 2965.86, "word": " تربية", "probability": 0.97412109375}, {"start": 2965.86, "end": 2966.9, "word": " ناقص", "probability": 0.945556640625}, {"start": 2966.9, "end": 2967.28, "word": " X", "probability": 0.9794921875}, {"start": 2967.28, "end": 2967.84, "word": " تربية", "probability": 0.9737955729166666}, {"start": 2967.84, "end": 2968.14, "word": " على", "probability": 0.9130859375}, {"start": 2968.14, "end": 2968.42, "word": " B", "probability": 0.9814453125}, {"start": 2968.42, "end": 2968.98, "word": " تربية", "probability": 0.9847005208333334}, {"start": 2968.98, "end": 2969.94, "word": " يساوي", "probability": 0.9576416015625}, {"start": 2969.94, "end": 2970.4, "word": " واحد", "probability": 0.825927734375}], "temperature": 1.0}, {"id": 128, "seek": 299245, "start": 2970.69, "end": 2992.45, "text": "ليش بالشكل هذا؟ لأن ال major axis او الفوك ال axis هو محور Y يبقى بصيرة ان Y تربيه على ال A طلعناها ب8 يبقى ليه ب64 ناقص X تربيه على B ليه ب36 يساوي 1 يبقى هذه معاجلة مين؟", "tokens": [20292, 8592, 20666, 8592, 28820, 23758, 22807, 5296, 33456, 2423, 2563, 10298, 1975, 2407, 27188, 2407, 4117, 2423, 10298, 31439, 3714, 5016, 13063, 398, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 3660, 16472, 398, 6055, 2288, 21292, 3224, 15844, 2423, 316, 23032, 1211, 3615, 8315, 11296, 4724, 23, 7251, 3555, 4587, 7578, 32239, 3224, 4724, 19395, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3224, 15844, 363, 32239, 3224, 4724, 11309, 7251, 3794, 995, 45865, 502, 7251, 3555, 4587, 7578, 29538, 20449, 26108, 37977, 3714, 9957, 22807], "avg_logprob": -0.29811790450052783, "compression_ratio": 1.532967032967033, "no_speech_prob": 0.0, "words": [{"start": 2970.69, "end": 2971.31, "word": "ليش", "probability": 0.47119140625}, {"start": 2971.31, "end": 2971.87, "word": " بالشكل", "probability": 0.8759765625}, {"start": 2971.87, "end": 2972.37, "word": " هذا؟", "probability": 0.782958984375}, {"start": 2972.37, "end": 2972.67, "word": " لأن", "probability": 0.854248046875}, {"start": 2972.67, "end": 2972.83, "word": " ال", "probability": 0.55029296875}, {"start": 2972.83, "end": 2973.13, "word": " major", "probability": 0.6513671875}, {"start": 2973.13, "end": 2973.59, "word": " axis", "probability": 0.919921875}, {"start": 2973.59, "end": 2973.81, "word": " او", "probability": 0.59625244140625}, {"start": 2973.81, "end": 2974.23, "word": " الفوك", "probability": 0.6971028645833334}, {"start": 2974.23, "end": 2974.35, "word": " ال", "probability": 0.47705078125}, {"start": 2974.35, "end": 2974.61, "word": " axis", "probability": 0.6142578125}, {"start": 2974.61, "end": 2974.87, "word": " هو", "probability": 0.951171875}, {"start": 2974.87, "end": 2975.51, "word": " محور", "probability": 0.9490559895833334}, {"start": 2975.51, "end": 2976.31, "word": " Y", "probability": 0.75439453125}, {"start": 2976.31, "end": 2977.19, "word": " يبقى", "probability": 0.9530029296875}, {"start": 2977.19, "end": 2977.77, "word": " بصيرة", "probability": 0.69854736328125}, {"start": 2977.77, "end": 2978.05, "word": " ان", "probability": 0.5654296875}, {"start": 2978.05, "end": 2978.79, "word": " Y", "probability": 0.65380859375}, {"start": 2978.79, "end": 2979.65, "word": " تربيه", "probability": 0.765625}, {"start": 2979.65, "end": 2980.05, "word": " على", "probability": 0.5029296875}, {"start": 2980.05, "end": 2980.79, "word": " ال", "probability": 0.64892578125}, {"start": 2980.79, "end": 2981.05, "word": " A", "probability": 0.74365234375}, {"start": 2981.05, "end": 2981.83, "word": " طلعناها", "probability": 0.85166015625}, {"start": 2981.83, "end": 2982.39, "word": " ب8", "probability": 0.4600830078125}, {"start": 2982.39, "end": 2982.93, "word": " يبقى", "probability": 0.9635009765625}, {"start": 2982.93, "end": 2983.15, "word": " ليه", "probability": 0.69873046875}, {"start": 2983.15, "end": 2984.31, "word": " ب64", "probability": 0.5833740234375}, {"start": 2984.31, "end": 2985.67, "word": " ناقص", "probability": 0.726348876953125}, {"start": 2985.67, "end": 2985.97, "word": " X", "probability": 0.91552734375}, {"start": 2985.97, "end": 2986.47, "word": " تربيه", "probability": 0.927001953125}, {"start": 2986.47, "end": 2986.69, "word": " على", "probability": 0.9501953125}, {"start": 2986.69, "end": 2986.93, "word": " B", "probability": 0.6962890625}, {"start": 2986.93, "end": 2987.19, "word": " ليه", "probability": 0.885498046875}, {"start": 2987.19, "end": 2988.33, "word": " ب36", "probability": 0.65966796875}, {"start": 2988.33, "end": 2989.15, "word": " يساوي", "probability": 0.9034423828125}, {"start": 2989.15, "end": 2989.71, "word": " 1", "probability": 0.88818359375}, {"start": 2989.71, "end": 2990.77, "word": " يبقى", "probability": 0.924560546875}, {"start": 2990.77, "end": 2991.01, "word": " هذه", "probability": 0.8271484375}, {"start": 2991.01, "end": 2991.59, "word": " معاجلة", "probability": 0.8639322916666666}, {"start": 2991.59, "end": 2992.45, "word": " مين؟", "probability": 0.7104085286458334}], "temperature": 1.0}, {"id": 129, "seek": 302058, "start": 2993.56, "end": 3020.58, "text": "معادلة الـ hyperabula اللى عندنا اللى هو طلبها يبقى المعادلة الـ hyperabula بلقى اننا باسمين و بورتين بلزمنا C هوجبنا C؟ ماوجبناش C يبقى بدنا نروح نوجد C دى الجدر التربية اللى A تربية زايد B تربية يبقى ال A اللى يبقى اربعة و ستين و هذه ستة و تلاتين يسوى مان؟", "tokens": [2304, 3615, 18513, 37977, 2423, 39184, 9848, 455, 3780, 13672, 7578, 43242, 8315, 13672, 7578, 31439, 23032, 46152, 11296, 7251, 3555, 4587, 7578, 9673, 3615, 18513, 37977, 2423, 39184, 9848, 455, 3780, 4724, 1211, 4587, 7578, 16472, 8315, 4724, 32277, 2304, 9957, 4032, 4724, 13063, 2655, 9957, 4724, 1211, 11622, 2304, 8315, 383, 8032, 29245, 3555, 8315, 383, 22807, 19446, 29245, 3555, 1863, 33599, 383, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 32887, 5016, 8717, 29245, 3215, 383, 11778, 7578, 25724, 3215, 2288, 16712, 25513, 10632, 13672, 7578, 316, 6055, 25513, 10632, 30767, 995, 25708, 363, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 2423, 316, 13672, 7578, 7251, 3555, 4587, 7578, 1975, 25513, 27884, 4032, 8608, 2655, 9957, 4032, 29538, 8608, 2655, 3660, 4032, 6055, 1211, 9307, 9957, 7251, 3794, 2407, 7578, 3714, 7649, 22807], "avg_logprob": -0.28722426361020875, "compression_ratio": 2.0372093023255813, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2993.56, "end": 2994.38, "word": "معادلة", "probability": 0.79022216796875}, {"start": 2994.38, "end": 2994.6, "word": " الـ", "probability": 0.64453125}, {"start": 2994.6, "end": 2995.3, "word": " hyperabula", "probability": 0.5697428385416666}, {"start": 2995.3, "end": 2995.48, "word": " اللى", "probability": 0.658203125}, {"start": 2995.48, "end": 2995.82, "word": " عندنا", "probability": 0.584716796875}, {"start": 2995.82, "end": 2995.92, "word": " اللى", "probability": 0.961181640625}, {"start": 2995.92, "end": 2996.06, "word": " هو", "probability": 0.96875}, {"start": 2996.06, "end": 2996.78, "word": " طلبها", "probability": 0.9205729166666666}, {"start": 2996.78, "end": 2997.4, "word": " يبقى", "probability": 0.8695068359375}, {"start": 2997.4, "end": 2997.9, "word": " المعادلة", "probability": 0.75811767578125}, {"start": 2997.9, "end": 2998.1, "word": " الـ", "probability": 0.626220703125}, {"start": 2998.1, "end": 2998.84, "word": " hyperabula", "probability": 0.9619140625}, {"start": 2998.84, "end": 2999.5, "word": " بلقى", "probability": 0.473388671875}, {"start": 2999.5, "end": 2999.68, "word": " اننا", "probability": 0.497802734375}, {"start": 2999.68, "end": 3000.36, "word": " باسمين", "probability": 0.969970703125}, {"start": 3000.36, "end": 3000.82, "word": " و", "probability": 0.2213134765625}, {"start": 3000.82, "end": 3001.76, "word": " بورتين", "probability": 0.61126708984375}, {"start": 3001.76, "end": 3002.8, "word": " بلزمنا", "probability": 0.733447265625}, {"start": 3002.8, "end": 3003.08, "word": " C", "probability": 0.7470703125}, {"start": 3003.08, "end": 3003.78, "word": " هوجبنا", "probability": 0.745849609375}, {"start": 3003.78, "end": 3004.42, "word": " C؟", "probability": 0.841796875}, {"start": 3004.42, "end": 3005.56, "word": " ماوجبناش", "probability": 0.84755859375}, {"start": 3005.56, "end": 3006.0, "word": " C", "probability": 0.97509765625}, {"start": 3006.0, "end": 3006.76, "word": " يبقى", "probability": 0.9476318359375}, {"start": 3006.76, "end": 3007.16, "word": " بدنا", "probability": 0.6734619140625}, {"start": 3007.16, "end": 3007.86, "word": " نروح", "probability": 0.9864908854166666}, {"start": 3007.86, "end": 3008.66, "word": " نوجد", "probability": 0.8684895833333334}, {"start": 3008.66, "end": 3009.18, "word": " C", "probability": 0.98193359375}, {"start": 3009.18, "end": 3009.7, "word": " دى", "probability": 0.6121826171875}, {"start": 3009.7, "end": 3010.24, "word": " الجدر", "probability": 0.9588216145833334}, {"start": 3010.24, "end": 3010.82, "word": " التربية", "probability": 0.75146484375}, {"start": 3010.82, "end": 3011.04, "word": " اللى", "probability": 0.978759765625}, {"start": 3011.04, "end": 3011.22, "word": " A", "probability": 0.72900390625}, {"start": 3011.22, "end": 3011.78, "word": " تربية", "probability": 0.9606119791666666}, {"start": 3011.78, "end": 3012.26, "word": " زايد", "probability": 0.68310546875}, {"start": 3012.26, "end": 3012.52, "word": " B", "probability": 0.88134765625}, {"start": 3012.52, "end": 3013.24, "word": " تربية", "probability": 0.9749348958333334}, {"start": 3013.24, "end": 3014.24, "word": " يبقى", "probability": 0.9876708984375}, {"start": 3014.24, "end": 3014.42, "word": " ال", "probability": 0.908203125}, {"start": 3014.42, "end": 3015.02, "word": " A", "probability": 0.52978515625}, {"start": 3015.02, "end": 3015.5, "word": " اللى", "probability": 0.89453125}, {"start": 3015.5, "end": 3015.78, "word": " يبقى", "probability": 0.9359130859375}, {"start": 3015.78, "end": 3016.24, "word": " اربعة", "probability": 0.6914469401041666}, {"start": 3016.24, "end": 3016.42, "word": " و", "probability": 0.89892578125}, {"start": 3016.42, "end": 3017.16, "word": " ستين", "probability": 0.8709309895833334}, {"start": 3017.16, "end": 3017.68, "word": " و", "probability": 0.55078125}, {"start": 3017.68, "end": 3018.04, "word": " هذه", "probability": 0.282470703125}, {"start": 3018.04, "end": 3018.66, "word": " ستة", "probability": 0.9720052083333334}, {"start": 3018.66, "end": 3018.78, "word": " و", "probability": 0.69775390625}, {"start": 3018.78, "end": 3019.46, "word": " تلاتين", "probability": 0.9647216796875}, {"start": 3019.46, "end": 3020.02, "word": " يسوى", "probability": 0.747802734375}, {"start": 3020.02, "end": 3020.58, "word": " مان؟", "probability": 0.8014322916666666}], "temperature": 1.0}, {"id": 130, "seek": 304755, "start": 3020.71, "end": 3047.55, "text": "يساوي عشرة يبقى بروح بقول له هذا بدي يعطينا zero زي ما هو مظبوط و البقرة تانية بصير زائد او لاقص عشرة يبقى البقرة الأولى zero و عشرة و البقرة التانية zero و سالب عشرة", "tokens": [1829, 3794, 995, 45865, 6225, 8592, 25720, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 46740, 23758, 4724, 16254, 7251, 3615, 9566, 1829, 8315, 4018, 30767, 1829, 19446, 31439, 3714, 19913, 3555, 2407, 9566, 4032, 29739, 4587, 25720, 6055, 7649, 10632, 4724, 9381, 13546, 30767, 16373, 3215, 1975, 2407, 20193, 4587, 9381, 6225, 8592, 25720, 7251, 3555, 4587, 7578, 29739, 4587, 25720, 16247, 12610, 7578, 4018, 4032, 6225, 8592, 25720, 4032, 29739, 4587, 25720, 16712, 7649, 10632, 4018, 4032, 8608, 6027, 3555, 6225, 8592, 25720], "avg_logprob": -0.21910919677252058, "compression_ratio": 1.8571428571428572, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 3020.71, "end": 3021.55, "word": "يساوي", "probability": 0.7012939453125}, {"start": 3021.55, "end": 3022.17, "word": " عشرة", "probability": 0.9138997395833334}, {"start": 3022.17, "end": 3022.85, "word": " يبقى", "probability": 0.84130859375}, {"start": 3022.85, "end": 3023.29, "word": " بروح", "probability": 0.9020182291666666}, {"start": 3023.29, "end": 3023.85, "word": " بقول", "probability": 0.87548828125}, {"start": 3023.85, "end": 3024.13, "word": " له", "probability": 0.408203125}, {"start": 3024.13, "end": 3024.81, "word": " هذا", "probability": 0.78076171875}, {"start": 3024.81, "end": 3025.25, "word": " بدي", "probability": 0.599365234375}, {"start": 3025.25, "end": 3026.03, "word": " يعطينا", "probability": 0.806005859375}, {"start": 3026.03, "end": 3026.73, "word": " zero", "probability": 0.14892578125}, {"start": 3026.73, "end": 3031.03, "word": " زي", "probability": 0.579345703125}, {"start": 3031.03, "end": 3031.21, "word": " ما", "probability": 0.93408203125}, {"start": 3031.21, "end": 3031.61, "word": " هو", "probability": 0.990234375}, {"start": 3031.61, "end": 3032.63, "word": " مظبوط", "probability": 0.863330078125}, {"start": 3032.63, "end": 3033.07, "word": " و", "probability": 0.34521484375}, {"start": 3033.07, "end": 3033.59, "word": " البقرة", "probability": 0.8888346354166666}, {"start": 3033.59, "end": 3033.97, "word": " تانية", "probability": 0.8702799479166666}, {"start": 3033.97, "end": 3034.43, "word": " بصير", "probability": 0.9326171875}, {"start": 3034.43, "end": 3035.11, "word": " زائد", "probability": 0.8152669270833334}, {"start": 3035.11, "end": 3035.41, "word": " او", "probability": 0.861083984375}, {"start": 3035.41, "end": 3036.27, "word": " لاقص", "probability": 0.8323567708333334}, {"start": 3036.27, "end": 3036.95, "word": " عشرة", "probability": 0.8956705729166666}, {"start": 3036.95, "end": 3037.75, "word": " يبقى", "probability": 0.9766845703125}, {"start": 3037.75, "end": 3038.31, "word": " البقرة", "probability": 0.9900716145833334}, {"start": 3038.31, "end": 3040.01, "word": " الأولى", "probability": 0.8678385416666666}, {"start": 3040.01, "end": 3041.09, "word": " zero", "probability": 0.5615234375}, {"start": 3041.09, "end": 3041.55, "word": " و", "probability": 0.73046875}, {"start": 3041.55, "end": 3042.21, "word": " عشرة", "probability": 0.8330078125}, {"start": 3042.21, "end": 3042.73, "word": " و", "probability": 0.5859375}, {"start": 3042.73, "end": 3043.31, "word": " البقرة", "probability": 0.9864908854166666}, {"start": 3043.31, "end": 3044.19, "word": " التانية", "probability": 0.9775390625}, {"start": 3044.19, "end": 3045.15, "word": " zero", "probability": 0.736328125}, {"start": 3045.15, "end": 3045.95, "word": " و", "probability": 0.76953125}, {"start": 3045.95, "end": 3046.77, "word": " سالب", "probability": 0.8683268229166666}, {"start": 3046.77, "end": 3047.55, "word": " عشرة", "probability": 0.9430338541666666}], "temperature": 1.0}, {"id": 131, "seek": 307766, "start": 3049.4, "end": 3077.66, "text": "المثال الثالث والاخير في هذا ال section رقم تلاتة بيقول find the center find the center و البقرتين و ال vertices الرأسين and ال asymptotes", "tokens": [45340, 12984, 6027, 6024, 104, 6027, 12984, 16070, 47283, 13546, 8978, 23758, 2423, 3541, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 4724, 1829, 39648, 915, 264, 3056, 915, 264, 3056, 4032, 29739, 4587, 43500, 9957, 4032, 2423, 32053, 34892, 10721, 3794, 9957, 293, 2423, 35114, 17251], "avg_logprob": -0.23271276151880305, "compression_ratio": 1.4142857142857144, "no_speech_prob": 0.0, "words": [{"start": 3049.4, "end": 3050.06, "word": "المثال", "probability": 0.8483072916666666}, {"start": 3050.06, "end": 3050.6, "word": " الثالث", "probability": 0.8988037109375}, {"start": 3050.6, "end": 3051.28, "word": " والاخير", "probability": 0.7740885416666666}, {"start": 3051.28, "end": 3051.46, "word": " في", "probability": 0.9560546875}, {"start": 3051.46, "end": 3051.9, "word": " هذا", "probability": 0.8818359375}, {"start": 3051.9, "end": 3052.02, "word": " ال", "probability": 0.61474609375}, {"start": 3052.02, "end": 3052.46, "word": " section", "probability": 0.73388671875}, {"start": 3052.46, "end": 3054.22, "word": " رقم", "probability": 0.9207356770833334}, {"start": 3054.22, "end": 3055.28, "word": " تلاتة", "probability": 0.913818359375}, {"start": 3055.28, "end": 3055.96, "word": " بيقول", "probability": 0.7577311197916666}, {"start": 3055.96, "end": 3056.74, "word": " find", "probability": 0.29443359375}, {"start": 3056.74, "end": 3058.62, "word": " the", "probability": 0.73779296875}, {"start": 3058.62, "end": 3060.64, "word": " center", "probability": 0.84228515625}, {"start": 3060.64, "end": 3062.82, "word": " find", "probability": 0.307861328125}, {"start": 3062.82, "end": 3063.12, "word": " the", "probability": 0.87841796875}, {"start": 3063.12, "end": 3063.8, "word": " center", "probability": 0.93017578125}, {"start": 3063.8, "end": 3064.72, "word": " و", "probability": 0.353271484375}, {"start": 3064.72, "end": 3066.54, "word": " البقرتين", "probability": 0.8253173828125}, {"start": 3066.54, "end": 3068.16, "word": " و", "probability": 0.61962890625}, {"start": 3068.16, "end": 3068.44, "word": " ال", "probability": 0.96875}, {"start": 3068.44, "end": 3069.46, "word": " vertices", "probability": 0.9755859375}, {"start": 3069.46, "end": 3072.44, "word": " الرأسين", "probability": 0.919921875}, {"start": 3072.44, "end": 3074.04, "word": " and", "probability": 0.80126953125}, {"start": 3074.04, "end": 3075.58, "word": " ال", "probability": 0.9716796875}, {"start": 3075.58, "end": 3077.66, "word": " asymptotes", "probability": 0.917724609375}], "temperature": 1.0}, {"id": 132, "seek": 310067, "start": 3088.85, "end": 3100.67, "text": "مطال الشكل التالي خمسة و عشرين X تربيع ناقص تسعة Y تربيع ناقص مية X", "tokens": [2304, 9566, 6027, 25124, 28820, 16712, 6027, 1829, 16490, 2304, 3794, 3660, 4032, 6225, 46309, 9957, 1783, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 6055, 3794, 27884, 398, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 3714, 10632, 1783], "avg_logprob": -0.2858231707317073, "compression_ratio": 1.3764705882352941, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 3088.85, "end": 3090.25, "word": "مطال", "probability": 0.382476806640625}, {"start": 3090.25, "end": 3090.89, "word": " الشكل", "probability": 0.67724609375}, {"start": 3090.89, "end": 3091.59, "word": " التالي", "probability": 0.9378255208333334}, {"start": 3091.59, "end": 3092.69, "word": " خمسة", "probability": 0.8111572265625}, {"start": 3092.69, "end": 3092.81, "word": " و", "probability": 0.83251953125}, {"start": 3092.81, "end": 3093.47, "word": " عشرين", "probability": 0.7810872395833334}, {"start": 3093.47, "end": 3093.89, "word": " X", "probability": 0.61767578125}, {"start": 3093.89, "end": 3094.73, "word": " تربيع", "probability": 0.8468017578125}, {"start": 3094.73, "end": 3095.79, "word": " ناقص", "probability": 0.9185791015625}, {"start": 3095.79, "end": 3096.39, "word": " تسعة", "probability": 0.9791666666666666}, {"start": 3096.39, "end": 3096.81, "word": " Y", "probability": 0.953125}, {"start": 3096.81, "end": 3097.81, "word": " تربيع", "probability": 0.9588623046875}, {"start": 3097.81, "end": 3099.13, "word": " ناقص", "probability": 0.9873046875}, {"start": 3099.13, "end": 3099.85, "word": " مية", "probability": 0.799072265625}, {"start": 3099.85, "end": 3100.67, "word": " X", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 133, "seek": 313384, "start": 3106.54, "end": 3133.84, "text": "-206 يساوي 0 يبقى هذا السؤال شبيه بمين شبيه بسؤال ال ellipse اللي قبل قليل يبقى عملية اكمال المربع نفس التكتيك هذه X تربيع وهذه X تربيع يبقى 25 في X تربيع ناقص 4", "tokens": [12, 2009, 21, 7251, 3794, 995, 45865, 1958, 7251, 3555, 4587, 7578, 23758, 21136, 33604, 6027, 13412, 21292, 3224, 4724, 2304, 9957, 13412, 21292, 3224, 4724, 3794, 33604, 6027, 2423, 8284, 48041, 13672, 1829, 12174, 36150, 12174, 20292, 1211, 7251, 3555, 4587, 7578, 6225, 42213, 10632, 1975, 24793, 6027, 9673, 25513, 3615, 8717, 36178, 16712, 4117, 31371, 4117, 29538, 1783, 6055, 2288, 21292, 3615, 37037, 24192, 1783, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 3552, 8978, 1783, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 1017], "avg_logprob": -0.20188210836865686, "compression_ratio": 1.6832298136645962, "no_speech_prob": 0.0, "words": [{"start": 3106.5400000000004, "end": 3107.76, "word": "-206", "probability": 0.6259765625}, {"start": 3107.76, "end": 3108.62, "word": " يساوي", "probability": 0.6798629760742188}, {"start": 3108.62, "end": 3109.24, "word": " 0", "probability": 0.5419921875}, {"start": 3109.24, "end": 3116.44, "word": " يبقى", "probability": 0.8502197265625}, {"start": 3116.44, "end": 3116.8, "word": " هذا", "probability": 0.89794921875}, {"start": 3116.8, "end": 3117.58, "word": " السؤال", "probability": 0.9830729166666666}, {"start": 3117.58, "end": 3118.8, "word": " شبيه", "probability": 0.85302734375}, {"start": 3118.8, "end": 3119.4, "word": " بمين", "probability": 0.7904459635416666}, {"start": 3119.4, "end": 3120.5, "word": " شبيه", "probability": 0.6756184895833334}, {"start": 3120.5, "end": 3121.0, "word": " بسؤال", "probability": 0.881591796875}, {"start": 3121.0, "end": 3121.16, "word": " ال", "probability": 0.955078125}, {"start": 3121.16, "end": 3121.5, "word": " ellipse", "probability": 0.62353515625}, {"start": 3121.5, "end": 3121.66, "word": " اللي", "probability": 0.813232421875}, {"start": 3121.66, "end": 3122.22, "word": " قبل", "probability": 0.798828125}, {"start": 3122.22, "end": 3122.94, "word": " قليل", "probability": 0.9532877604166666}, {"start": 3122.94, "end": 3123.26, "word": " يبقى", "probability": 0.927734375}, {"start": 3123.26, "end": 3123.9, "word": " عملية", "probability": 0.9749348958333334}, {"start": 3123.9, "end": 3124.36, "word": " اكمال", "probability": 0.7974446614583334}, {"start": 3124.36, "end": 3125.04, "word": " المربع", "probability": 0.9733072916666666}, {"start": 3125.04, "end": 3125.42, "word": " نفس", "probability": 0.9921875}, {"start": 3125.42, "end": 3126.34, "word": " التكتيك", "probability": 0.85009765625}, {"start": 3126.34, "end": 3127.18, "word": " هذه", "probability": 0.391357421875}, {"start": 3127.18, "end": 3127.48, "word": " X", "probability": 0.458984375}, {"start": 3127.48, "end": 3127.86, "word": " تربيع", "probability": 0.7237548828125}, {"start": 3127.86, "end": 3128.26, "word": " وهذه", "probability": 0.8046875}, {"start": 3128.26, "end": 3128.54, "word": " X", "probability": 0.935546875}, {"start": 3128.54, "end": 3129.16, "word": " تربيع", "probability": 0.9730224609375}, {"start": 3129.16, "end": 3129.78, "word": " يبقى", "probability": 0.96826171875}, {"start": 3129.78, "end": 3130.6, "word": " 25", "probability": 0.9169921875}, {"start": 3130.6, "end": 3131.16, "word": " في", "probability": 0.35791015625}, {"start": 3131.16, "end": 3131.54, "word": " X", "probability": 0.98388671875}, {"start": 3131.54, "end": 3132.26, "word": " تربيع", "probability": 0.97216796875}, {"start": 3132.26, "end": 3133.3, "word": " ناقص", "probability": 0.797821044921875}, {"start": 3133.3, "end": 3133.84, "word": " 4", "probability": 0.84765625}], "temperature": 1.0}, {"id": 134, "seek": 314885, "start": 3134.77, "end": 3148.85, "text": "نقص اربع ياش نقص اربع اكس الباقي ناقص وعندك هنا التسعة في وي تربية ناقص ستة وي ساوي متين وستة", "tokens": [1863, 4587, 9381, 1975, 25513, 3615, 7251, 33599, 8717, 4587, 9381, 1975, 25513, 3615, 1975, 4117, 3794, 29739, 995, 38436, 8717, 995, 4587, 9381, 4032, 3615, 41260, 4117, 34105, 16712, 3794, 27884, 8978, 4032, 1829, 6055, 25513, 10632, 8717, 995, 4587, 9381, 8608, 2655, 3660, 4032, 1829, 8608, 995, 45865, 44650, 9957, 4032, 14851, 3660], "avg_logprob": -0.2882254496216774, "compression_ratio": 1.6057692307692308, "no_speech_prob": 0.0, "words": [{"start": 3134.77, "end": 3135.35, "word": "نقص", "probability": 0.7176920572916666}, {"start": 3135.35, "end": 3135.79, "word": " اربع", "probability": 0.6359049479166666}, {"start": 3135.79, "end": 3136.25, "word": " ياش", "probability": 0.56494140625}, {"start": 3136.25, "end": 3136.93, "word": " نقص", "probability": 0.8377278645833334}, {"start": 3136.93, "end": 3137.77, "word": " اربع", "probability": 0.8878580729166666}, {"start": 3137.77, "end": 3138.21, "word": " اكس", "probability": 0.8229166666666666}, {"start": 3138.21, "end": 3139.31, "word": " الباقي", "probability": 0.703125}, {"start": 3139.31, "end": 3140.51, "word": " ناقص", "probability": 0.84832763671875}, {"start": 3140.51, "end": 3141.67, "word": " وعندك", "probability": 0.6651611328125}, {"start": 3141.67, "end": 3141.99, "word": " هنا", "probability": 0.6474609375}, {"start": 3141.99, "end": 3142.95, "word": " التسعة", "probability": 0.8678385416666666}, {"start": 3142.95, "end": 3143.23, "word": " في", "probability": 0.92626953125}, {"start": 3143.23, "end": 3143.69, "word": " وي", "probability": 0.5003662109375}, {"start": 3143.69, "end": 3144.49, "word": " تربية", "probability": 0.6985677083333334}, {"start": 3144.49, "end": 3145.65, "word": " ناقص", "probability": 0.950439453125}, {"start": 3145.65, "end": 3146.67, "word": " ستة", "probability": 0.94873046875}, {"start": 3146.67, "end": 3146.97, "word": " وي", "probability": 0.87255859375}, {"start": 3146.97, "end": 3147.47, "word": " ساوي", "probability": 0.7882486979166666}, {"start": 3147.47, "end": 3147.99, "word": " متين", "probability": 0.672119140625}, {"start": 3147.99, "end": 3148.85, "word": " وستة", "probability": 0.93115234375}], "temperature": 1.0}, {"id": 135, "seek": 317147, "start": 3149.35, "end": 3171.47, "text": "بنعمل اكمال المربع يبقى هذا بيصير اللي هو خمسة وعشرين في ال X تربية ناقص اربعة X زائد اربعة وهذا ناقص تسعة في Y تربية ناقص ستة Y زائد تسعة كله يساوي متين وستة", "tokens": [3555, 1863, 25957, 1211, 1975, 24793, 6027, 9673, 25513, 3615, 7251, 3555, 4587, 7578, 23758, 4724, 1829, 9381, 13546, 13672, 1829, 31439, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 8978, 2423, 1783, 6055, 25513, 10632, 8717, 995, 4587, 9381, 1975, 25513, 27884, 1783, 30767, 16373, 3215, 1975, 25513, 27884, 37037, 15730, 8717, 995, 4587, 9381, 6055, 3794, 27884, 8978, 398, 6055, 25513, 10632, 8717, 995, 4587, 9381, 8608, 2655, 3660, 398, 30767, 16373, 3215, 6055, 3794, 27884, 28242, 3224, 7251, 3794, 995, 45865, 44650, 9957, 4032, 14851, 3660], "avg_logprob": -0.16137152430084017, "compression_ratio": 1.8355263157894737, "no_speech_prob": 0.0, "words": [{"start": 3149.35, "end": 3150.17, "word": "بنعمل", "probability": 0.79345703125}, {"start": 3150.17, "end": 3150.79, "word": " اكمال", "probability": 0.8229166666666666}, {"start": 3150.79, "end": 3151.83, "word": " المربع", "probability": 0.9296875}, {"start": 3151.83, "end": 3152.33, "word": " يبقى", "probability": 0.89111328125}, {"start": 3152.33, "end": 3152.61, "word": " هذا", "probability": 0.86669921875}, {"start": 3152.61, "end": 3153.23, "word": " بيصير", "probability": 0.8189697265625}, {"start": 3153.23, "end": 3153.41, "word": " اللي", "probability": 0.51507568359375}, {"start": 3153.41, "end": 3153.59, "word": " هو", "probability": 0.95703125}, {"start": 3153.59, "end": 3154.27, "word": " خمسة", "probability": 0.9178466796875}, {"start": 3154.27, "end": 3155.09, "word": " وعشرين", "probability": 0.8643798828125}, {"start": 3155.09, "end": 3155.73, "word": " في", "probability": 0.72607421875}, {"start": 3155.73, "end": 3155.93, "word": " ال", "probability": 0.78125}, {"start": 3155.93, "end": 3156.27, "word": " X", "probability": 0.6669921875}, {"start": 3156.27, "end": 3156.95, "word": " تربية", "probability": 0.610107421875}, {"start": 3156.95, "end": 3158.09, "word": " ناقص", "probability": 0.9456787109375}, {"start": 3158.09, "end": 3158.77, "word": " اربعة", "probability": 0.8082682291666666}, {"start": 3158.77, "end": 3159.15, "word": " X", "probability": 0.93505859375}, {"start": 3159.15, "end": 3159.91, "word": " زائد", "probability": 0.9033203125}, {"start": 3159.91, "end": 3160.73, "word": " اربعة", "probability": 0.8937174479166666}, {"start": 3160.73, "end": 3161.55, "word": " وهذا", "probability": 0.776611328125}, {"start": 3161.55, "end": 3162.25, "word": " ناقص", "probability": 0.9937744140625}, {"start": 3162.25, "end": 3162.91, "word": " تسعة", "probability": 0.98681640625}, {"start": 3162.91, "end": 3163.55, "word": " في", "probability": 0.95263671875}, {"start": 3163.55, "end": 3163.91, "word": " Y", "probability": 0.9853515625}, {"start": 3163.91, "end": 3164.49, "word": " تربية", "probability": 0.9480794270833334}, {"start": 3164.49, "end": 3165.29, "word": " ناقص", "probability": 0.9957275390625}, {"start": 3165.29, "end": 3166.05, "word": " ستة", "probability": 0.9671223958333334}, {"start": 3166.05, "end": 3166.41, "word": " Y", "probability": 0.96826171875}, {"start": 3166.41, "end": 3167.41, "word": " زائد", "probability": 0.9588216145833334}, {"start": 3167.41, "end": 3168.07, "word": " تسعة", "probability": 0.9840494791666666}, {"start": 3168.07, "end": 3168.89, "word": " كله", "probability": 0.919189453125}, {"start": 3168.89, "end": 3169.55, "word": " يساوي", "probability": 0.81182861328125}, {"start": 3169.55, "end": 3170.63, "word": " متين", "probability": 0.7152099609375}, {"start": 3170.63, "end": 3171.47, "word": " وستة", "probability": 0.9573567708333334}], "temperature": 1.0}, {"id": 136, "seek": 319870, "start": 3174.08, "end": 3198.7, "text": "يبقى يجب ان نعرف ايش نريد ان نعمل في الجزر اللي عندنا يبقى اذا اضافنا جدار مية فانت تروح و تضيف في الناحية يبقى زي ما اضافنا مية على الشمال فانت تروح و تضيف مية على اليمين بعدك تسعة فتسعة بواحد و تمانين بس بالسالب يبقى سالب واحد و تمانين", "tokens": [1829, 3555, 4587, 7578, 7251, 7435, 3555, 16472, 8717, 3615, 28480, 1975, 1829, 8592, 8717, 16572, 3215, 16472, 8717, 25957, 1211, 8978, 25724, 11622, 2288, 13672, 1829, 43242, 8315, 7251, 3555, 4587, 7578, 1975, 15730, 1975, 11242, 31845, 8315, 10874, 3215, 9640, 3714, 10632, 6156, 7649, 2655, 6055, 32887, 5016, 4032, 6055, 11242, 33911, 8978, 2423, 8315, 5016, 10632, 7251, 3555, 4587, 7578, 30767, 1829, 19446, 1975, 11242, 31845, 8315, 3714, 10632, 15844, 25124, 2304, 6027, 6156, 7649, 2655, 6055, 32887, 5016, 4032, 6055, 11242, 33911, 3714, 10632, 15844, 2423, 32640, 9957, 39182, 4117, 6055, 3794, 27884, 6156, 2655, 3794, 27884, 4724, 14407, 24401, 4032, 46811, 7649, 9957, 4724, 3794, 20666, 3794, 6027, 3555, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 36764, 24401, 4032, 46811, 7649, 9957], "avg_logprob": -0.37695312267169356, "compression_ratio": 2.272727272727273, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3174.08, "end": 3174.96, "word": "يبقى", "probability": 0.625213623046875}, {"start": 3174.96, "end": 3175.18, "word": " يجب", "probability": 0.47039794921875}, {"start": 3175.18, "end": 3175.8, "word": " ان", "probability": 0.299560546875}, {"start": 3175.8, "end": 3176.26, "word": " نعرف", "probability": 0.57684326171875}, {"start": 3176.26, "end": 3176.66, "word": " ايش", "probability": 0.7019856770833334}, {"start": 3176.66, "end": 3177.14, "word": " نريد", "probability": 0.552734375}, {"start": 3177.14, "end": 3177.14, "word": " ان", "probability": 0.57470703125}, {"start": 3177.14, "end": 3177.52, "word": " نعمل", "probability": 0.7923177083333334}, {"start": 3177.52, "end": 3178.06, "word": " في", "probability": 0.58740234375}, {"start": 3178.06, "end": 3180.22, "word": " الجزر", "probability": 0.53125}, {"start": 3180.22, "end": 3180.38, "word": " اللي", "probability": 0.6748046875}, {"start": 3180.38, "end": 3180.82, "word": " عندنا", "probability": 0.6966552734375}, {"start": 3180.82, "end": 3181.22, "word": " يبقى", "probability": 0.743011474609375}, {"start": 3181.22, "end": 3181.44, "word": " اذا", "probability": 0.57843017578125}, {"start": 3181.44, "end": 3181.9, "word": " اضافنا", "probability": 0.739990234375}, {"start": 3181.9, "end": 3182.6, "word": " جدار", "probability": 0.7342122395833334}, {"start": 3182.6, "end": 3183.72, "word": " مية", "probability": 0.6337890625}, {"start": 3183.72, "end": 3184.16, "word": " فانت", "probability": 0.5063883463541666}, {"start": 3184.16, "end": 3184.4, "word": " تروح", "probability": 0.6913248697916666}, {"start": 3184.4, "end": 3184.56, "word": " و", "probability": 0.56103515625}, {"start": 3184.56, "end": 3184.8, "word": " تضيف", "probability": 0.87451171875}, {"start": 3184.8, "end": 3184.96, "word": " في", "probability": 0.6572265625}, {"start": 3184.96, "end": 3185.4, "word": " الناحية", "probability": 0.8341064453125}, {"start": 3185.4, "end": 3186.02, "word": " يبقى", "probability": 0.9261474609375}, {"start": 3186.02, "end": 3186.24, "word": " زي", "probability": 0.553955078125}, {"start": 3186.24, "end": 3186.4, "word": " ما", "probability": 0.90478515625}, {"start": 3186.4, "end": 3186.86, "word": " اضافنا", "probability": 0.959228515625}, {"start": 3186.86, "end": 3187.16, "word": " مية", "probability": 0.95654296875}, {"start": 3187.16, "end": 3187.38, "word": " على", "probability": 0.8603515625}, {"start": 3187.38, "end": 3188.06, "word": " الشمال", "probability": 0.9339192708333334}, {"start": 3188.06, "end": 3188.52, "word": " فانت", "probability": 0.377685546875}, {"start": 3188.52, "end": 3188.76, "word": " تروح", "probability": 0.9462890625}, {"start": 3188.76, "end": 3188.9, "word": " و", "probability": 0.86279296875}, {"start": 3188.9, "end": 3189.34, "word": " تضيف", "probability": 0.9853515625}, {"start": 3189.34, "end": 3190.04, "word": " مية", "probability": 0.91455078125}, {"start": 3190.04, "end": 3190.82, "word": " على", "probability": 0.89697265625}, {"start": 3190.82, "end": 3191.44, "word": " اليمين", "probability": 0.7549641927083334}, {"start": 3191.44, "end": 3192.34, "word": " بعدك", "probability": 0.35699462890625}, {"start": 3192.34, "end": 3193.2, "word": " تسعة", "probability": 0.8219401041666666}, {"start": 3193.2, "end": 3193.66, "word": " فتسعة", "probability": 0.91064453125}, {"start": 3193.66, "end": 3193.92, "word": " بواحد", "probability": 0.8235677083333334}, {"start": 3193.92, "end": 3193.98, "word": " و", "probability": 0.591796875}, {"start": 3193.98, "end": 3194.18, "word": " تمانين", "probability": 0.8660481770833334}, {"start": 3194.18, "end": 3194.4, "word": " بس", "probability": 0.930419921875}, {"start": 3194.4, "end": 3195.52, "word": " بالسالب", "probability": 0.90625}, {"start": 3195.52, "end": 3196.58, "word": " يبقى", "probability": 0.968505859375}, {"start": 3196.58, "end": 3197.44, "word": " سالب", "probability": 0.9305013020833334}, {"start": 3197.44, "end": 3197.94, "word": " واحد", "probability": 0.899169921875}, {"start": 3197.94, "end": 3198.1, "word": " و", "probability": 0.890625}, {"start": 3198.1, "end": 3198.7, "word": " تمانين", "probability": 0.98046875}], "temperature": 1.0}, {"id": 137, "seek": 321299, "start": 3199.23, "end": 3212.99, "text": "يفجأة دي بيصير خمسة و عشرين X ناقص اتنين لكل تربية ناقص تسعة Y ناقص تلاتة لكل تربية يسوى متين و خمسة و عشرين", "tokens": [33911, 7435, 10721, 3660, 11778, 1829, 4724, 1829, 9381, 13546, 16490, 2304, 3794, 3660, 4032, 6225, 46309, 9957, 1783, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 5296, 28820, 6055, 25513, 10632, 8717, 995, 4587, 9381, 6055, 3794, 27884, 398, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632, 7251, 3794, 2407, 7578, 44650, 9957, 4032, 16490, 2304, 3794, 3660, 4032, 6225, 46309, 9957], "avg_logprob": -0.18274456694506216, "compression_ratio": 1.6754385964912282, "no_speech_prob": 0.0, "words": [{"start": 3199.23, "end": 3199.79, "word": "يفجأة", "probability": 0.5881881713867188}, {"start": 3199.79, "end": 3199.97, "word": " دي", "probability": 0.7470703125}, {"start": 3199.97, "end": 3200.43, "word": " بيصير", "probability": 0.9171142578125}, {"start": 3200.43, "end": 3201.09, "word": " خمسة", "probability": 0.8646240234375}, {"start": 3201.09, "end": 3201.21, "word": " و", "probability": 0.96533203125}, {"start": 3201.21, "end": 3201.87, "word": " عشرين", "probability": 0.8610026041666666}, {"start": 3201.87, "end": 3202.33, "word": " X", "probability": 0.48193359375}, {"start": 3202.33, "end": 3202.91, "word": " ناقص", "probability": 0.8515625}, {"start": 3202.91, "end": 3203.37, "word": " اتنين", "probability": 0.9676513671875}, {"start": 3203.37, "end": 3203.91, "word": " لكل", "probability": 0.78466796875}, {"start": 3203.91, "end": 3204.75, "word": " تربية", "probability": 0.7820638020833334}, {"start": 3204.75, "end": 3206.09, "word": " ناقص", "probability": 0.9571533203125}, {"start": 3206.09, "end": 3206.73, "word": " تسعة", "probability": 0.9869791666666666}, {"start": 3206.73, "end": 3207.11, "word": " Y", "probability": 0.96923828125}, {"start": 3207.11, "end": 3207.75, "word": " ناقص", "probability": 0.9896240234375}, {"start": 3207.75, "end": 3208.37, "word": " تلاتة", "probability": 0.9293212890625}, {"start": 3208.37, "end": 3208.77, "word": " لكل", "probability": 0.99267578125}, {"start": 3208.77, "end": 3209.45, "word": " تربية", "probability": 0.9733072916666666}, {"start": 3209.45, "end": 3210.75, "word": " يسوى", "probability": 0.811279296875}, {"start": 3210.75, "end": 3211.77, "word": " متين", "probability": 0.6112060546875}, {"start": 3211.77, "end": 3211.93, "word": " و", "probability": 0.9970703125}, {"start": 3211.93, "end": 3212.45, "word": " خمسة", "probability": 0.959716796875}, {"start": 3212.45, "end": 3212.53, "word": " و", "probability": 0.99365234375}, {"start": 3212.53, "end": 3212.99, "word": " عشرين", "probability": 0.9246419270833334}], "temperature": 1.0}, {"id": 138, "seek": 323048, "start": 3214.4, "end": 3230.48, "text": "نجسم على 225 بصير ال X ناقص اتنين الكل تربيع على تسعة ناقص Y ناقص تلاتة الكل تربيع على خمسة وعشرين يسوى جداش يسوى واحد", "tokens": [1863, 7435, 38251, 15844, 5853, 20, 4724, 9381, 13546, 2423, 1783, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 2423, 28820, 6055, 2288, 21292, 3615, 15844, 6055, 3794, 27884, 8717, 995, 4587, 9381, 398, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 2423, 28820, 6055, 2288, 21292, 3615, 15844, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 7251, 3794, 2407, 7578, 10874, 3215, 33599, 7251, 3794, 2407, 7578, 36764, 24401], "avg_logprob": -0.201804583341303, "compression_ratio": 1.6829268292682926, "no_speech_prob": 0.0, "words": [{"start": 3214.4, "end": 3215.02, "word": "نجسم", "probability": 0.6944986979166666}, {"start": 3215.02, "end": 3215.24, "word": " على", "probability": 0.80029296875}, {"start": 3215.24, "end": 3217.04, "word": " 225", "probability": 0.822998046875}, {"start": 3217.04, "end": 3218.08, "word": " بصير", "probability": 0.71142578125}, {"start": 3218.08, "end": 3218.26, "word": " ال", "probability": 0.607421875}, {"start": 3218.26, "end": 3218.66, "word": " X", "probability": 0.595703125}, {"start": 3218.66, "end": 3219.32, "word": " ناقص", "probability": 0.69146728515625}, {"start": 3219.32, "end": 3219.88, "word": " اتنين", "probability": 0.780792236328125}, {"start": 3219.88, "end": 3220.48, "word": " الكل", "probability": 0.744140625}, {"start": 3220.48, "end": 3221.24, "word": " تربيع", "probability": 0.83935546875}, {"start": 3221.24, "end": 3221.64, "word": " على", "probability": 0.73046875}, {"start": 3221.64, "end": 3222.38, "word": " تسعة", "probability": 0.927734375}, {"start": 3222.38, "end": 3223.48, "word": " ناقص", "probability": 0.9515380859375}, {"start": 3223.48, "end": 3223.74, "word": " Y", "probability": 0.9677734375}, {"start": 3223.74, "end": 3224.32, "word": " ناقص", "probability": 0.9906005859375}, {"start": 3224.32, "end": 3224.82, "word": " تلاتة", "probability": 0.9317626953125}, {"start": 3224.82, "end": 3225.14, "word": " الكل", "probability": 0.836669921875}, {"start": 3225.14, "end": 3225.74, "word": " تربيع", "probability": 0.950439453125}, {"start": 3225.74, "end": 3226.02, "word": " على", "probability": 0.87939453125}, {"start": 3226.02, "end": 3226.6, "word": " خمسة", "probability": 0.9149169921875}, {"start": 3226.6, "end": 3227.34, "word": " وعشرين", "probability": 0.892578125}, {"start": 3227.34, "end": 3228.12, "word": " يسوى", "probability": 0.77947998046875}, {"start": 3228.12, "end": 3228.86, "word": " جداش", "probability": 0.70556640625}, {"start": 3228.86, "end": 3230.12, "word": " يسوى", "probability": 0.88916015625}, {"start": 3230.12, "end": 3230.48, "word": " واحد", "probability": 0.979736328125}], "temperature": 1.0}, {"id": 139, "seek": 325956, "start": 3230.9, "end": 3259.56, "text": "اذا انا حطيت المعالج الاصلي على شكل جديد هذا الشكل الجديد استفدت منه انه ال center H وK بده يعطينا جداش اتنين او تلاتة يبقى جبت له المطلوب الاول هو ال center جاليه اتلي الفكال يبقى عندنا A تساوي تلاتة وB تساوي خمسة بقدر اوجد له ال C", "tokens": [45636, 995, 1975, 8315, 11331, 9566, 36081, 9673, 3615, 6027, 7435, 2423, 33546, 20292, 15844, 13412, 28820, 10874, 16254, 3215, 23758, 25124, 28820, 25724, 16254, 3215, 44713, 5172, 3215, 2655, 9154, 3224, 16472, 3224, 2423, 3056, 389, 4032, 42, 47525, 3224, 37495, 9566, 1829, 8315, 10874, 3215, 33599, 1975, 2655, 1863, 9957, 1975, 2407, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 10874, 3555, 2655, 46740, 9673, 9566, 1211, 37746, 42963, 12610, 31439, 2423, 3056, 10874, 6027, 1829, 3224, 1975, 2655, 20292, 27188, 4117, 6027, 7251, 3555, 4587, 7578, 43242, 8315, 316, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 4032, 33, 6055, 3794, 995, 45865, 16490, 2304, 3794, 3660, 4724, 28543, 2288, 1975, 2407, 7435, 3215, 46740, 2423, 383], "avg_logprob": -0.2727272786384772, "compression_ratio": 1.8518518518518519, "no_speech_prob": 0.0, "words": [{"start": 3230.9, "end": 3231.28, "word": "اذا", "probability": 0.5015411376953125}, {"start": 3231.28, "end": 3231.58, "word": " انا", "probability": 0.788818359375}, {"start": 3231.58, "end": 3232.16, "word": " حطيت", "probability": 0.84326171875}, {"start": 3232.16, "end": 3232.74, "word": " المعالج", "probability": 0.8551025390625}, {"start": 3232.74, "end": 3233.24, "word": " الاصلي", "probability": 0.81103515625}, {"start": 3233.24, "end": 3233.6, "word": " على", "probability": 0.83544921875}, {"start": 3233.6, "end": 3234.36, "word": " شكل", "probability": 0.958740234375}, {"start": 3234.36, "end": 3235.42, "word": " جديد", "probability": 0.9933268229166666}, {"start": 3235.42, "end": 3236.02, "word": " هذا", "probability": 0.76953125}, {"start": 3236.02, "end": 3236.54, "word": " الشكل", "probability": 0.97216796875}, {"start": 3236.54, "end": 3237.04, "word": " الجديد", "probability": 0.9801432291666666}, {"start": 3237.04, "end": 3237.9, "word": " استفدت", "probability": 0.832763671875}, {"start": 3237.9, "end": 3238.58, "word": " منه", "probability": 0.96240234375}, {"start": 3238.58, "end": 3239.64, "word": " انه", "probability": 0.6229248046875}, {"start": 3239.64, "end": 3239.86, "word": " ال", "probability": 0.75244140625}, {"start": 3239.86, "end": 3240.62, "word": " center", "probability": 0.327880859375}, {"start": 3240.62, "end": 3241.9, "word": " H", "probability": 0.350341796875}, {"start": 3241.9, "end": 3242.88, "word": " وK", "probability": 0.716064453125}, {"start": 3242.88, "end": 3243.78, "word": " بده", "probability": 0.431640625}, {"start": 3243.78, "end": 3244.16, "word": " يعطينا", "probability": 0.79022216796875}, {"start": 3244.16, "end": 3244.92, "word": " جداش", "probability": 0.7662760416666666}, {"start": 3244.92, "end": 3246.36, "word": " اتنين", "probability": 0.8516845703125}, {"start": 3246.36, "end": 3246.88, "word": " او", "probability": 0.6273193359375}, {"start": 3246.88, "end": 3247.52, "word": " تلاتة", "probability": 0.833251953125}, {"start": 3247.52, "end": 3248.22, "word": " يبقى", "probability": 0.8057861328125}, {"start": 3248.22, "end": 3248.58, "word": " جبت", "probability": 0.7724609375}, {"start": 3248.58, "end": 3248.7, "word": " له", "probability": 0.340087890625}, {"start": 3248.7, "end": 3249.22, "word": " المطلوب", "probability": 0.8681640625}, {"start": 3249.22, "end": 3249.6, "word": " الاول", "probability": 0.766845703125}, {"start": 3249.6, "end": 3249.84, "word": " هو", "probability": 0.76123046875}, {"start": 3249.84, "end": 3250.04, "word": " ال", "probability": 0.93994140625}, {"start": 3250.04, "end": 3250.54, "word": " center", "probability": 0.67138671875}, {"start": 3250.54, "end": 3251.62, "word": " جاليه", "probability": 0.64215087890625}, {"start": 3251.62, "end": 3251.94, "word": " اتلي", "probability": 0.6109212239583334}, {"start": 3251.94, "end": 3252.74, "word": " الفكال", "probability": 0.611572265625}, {"start": 3252.74, "end": 3253.44, "word": " يبقى", "probability": 0.9832763671875}, {"start": 3253.44, "end": 3254.04, "word": " عندنا", "probability": 0.900390625}, {"start": 3254.04, "end": 3254.34, "word": " A", "probability": 0.64892578125}, {"start": 3254.34, "end": 3254.98, "word": " تساوي", "probability": 0.8499755859375}, {"start": 3254.98, "end": 3255.68, "word": " تلاتة", "probability": 0.9609375}, {"start": 3255.68, "end": 3256.04, "word": " وB", "probability": 0.733642578125}, {"start": 3256.04, "end": 3256.72, "word": " تساوي", "probability": 0.9859619140625}, {"start": 3256.72, "end": 3257.54, "word": " خمسة", "probability": 0.9849853515625}, {"start": 3257.54, "end": 3258.26, "word": " بقدر", "probability": 0.9456380208333334}, {"start": 3258.26, "end": 3258.78, "word": " اوجد", "probability": 0.74371337890625}, {"start": 3258.78, "end": 3258.98, "word": " له", "probability": 0.677734375}, {"start": 3258.98, "end": 3259.22, "word": " ال", "probability": 0.80029296875}, {"start": 3259.22, "end": 3259.56, "word": " C", "probability": 0.63623046875}], "temperature": 1.0}, {"id": 140, "seek": 327660, "start": 3260.26, "end": 3276.6, "text": "اللي هو تسعة زائد خمسة و عشرين يبقى جدر من جدر الأربعة و كالتين بدنا نروح نوصل من الرسم هذه حتى نحدد باقى المعلومات اللى عندنا", "tokens": [6027, 20292, 31439, 6055, 3794, 27884, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 4032, 6225, 46309, 9957, 7251, 3555, 4587, 7578, 10874, 3215, 2288, 9154, 10874, 3215, 2288, 16247, 25513, 27884, 4032, 9122, 6027, 2655, 9957, 47525, 8315, 8717, 32887, 5016, 8717, 2407, 36520, 9154, 34892, 38251, 29538, 11331, 49975, 8717, 24401, 3215, 4724, 995, 4587, 7578, 9673, 30241, 20498, 9307, 13672, 7578, 43242, 8315], "avg_logprob": -0.18016098236495798, "compression_ratio": 1.5874125874125875, "no_speech_prob": 2.7239322662353516e-05, "words": [{"start": 3260.26, "end": 3260.76, "word": "اللي", "probability": 0.4345703125}, {"start": 3260.76, "end": 3261.12, "word": " هو", "probability": 0.984375}, {"start": 3261.12, "end": 3262.08, "word": " تسعة", "probability": 0.90478515625}, {"start": 3262.08, "end": 3262.94, "word": " زائد", "probability": 0.7827962239583334}, {"start": 3262.94, "end": 3263.54, "word": " خمسة", "probability": 0.9775390625}, {"start": 3263.54, "end": 3263.64, "word": " و", "probability": 0.95361328125}, {"start": 3263.64, "end": 3264.34, "word": " عشرين", "probability": 0.76220703125}, {"start": 3264.34, "end": 3265.22, "word": " يبقى", "probability": 0.96484375}, {"start": 3265.22, "end": 3265.7, "word": " جدر", "probability": 0.9210611979166666}, {"start": 3265.7, "end": 3266.12, "word": " من", "probability": 0.92578125}, {"start": 3266.12, "end": 3267.16, "word": " جدر", "probability": 0.9685872395833334}, {"start": 3267.16, "end": 3268.08, "word": " الأربعة", "probability": 0.9498697916666666}, {"start": 3268.08, "end": 3268.52, "word": " و", "probability": 0.9287109375}, {"start": 3268.52, "end": 3269.44, "word": " كالتين", "probability": 0.73883056640625}, {"start": 3269.44, "end": 3270.26, "word": " بدنا", "probability": 0.642822265625}, {"start": 3270.26, "end": 3270.58, "word": " نروح", "probability": 0.9783528645833334}, {"start": 3270.58, "end": 3270.96, "word": " نوصل", "probability": 0.8741861979166666}, {"start": 3270.96, "end": 3271.12, "word": " من", "probability": 0.98779296875}, {"start": 3271.12, "end": 3271.46, "word": " الرسم", "probability": 0.6466064453125}, {"start": 3271.46, "end": 3271.98, "word": " هذه", "probability": 0.50146484375}, {"start": 3271.98, "end": 3272.72, "word": " حتى", "probability": 0.83349609375}, {"start": 3272.72, "end": 3273.62, "word": " نحدد", "probability": 0.98486328125}, {"start": 3273.62, "end": 3274.4, "word": " باقى", "probability": 0.8968505859375}, {"start": 3274.4, "end": 3275.4, "word": " المعلومات", "probability": 0.9910888671875}, {"start": 3275.4, "end": 3275.92, "word": " اللى", "probability": 0.782958984375}, {"start": 3275.92, "end": 3276.6, "word": " عندنا", "probability": 0.893798828125}], "temperature": 1.0}, {"id": 141, "seek": 328858, "start": 3287.18, "end": 3288.58, "text": "Fail", "tokens": [37, 864], "avg_logprob": -0.3974609375, "compression_ratio": 0.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 3287.18, "end": 3288.58, "word": "Fail", "probability": 0.595703125}], "temperature": 1.0}, {"id": 142, "seek": 332360, "start": 3296.12, "end": 3323.6, "text": "فاني بقى كدا يبقى احنا عندنا ال center قداش اتنين و تلاتة يبقى لو روحت رسمت المحاور بالشكل هذا هذا محور X هذا محور Y ده اتحرك هنا اتنين و اطلع هنا تلاتة يبقى النقطة هذه اتنين و تلاتة وبالتالي المنحنة هياخد الشكل التالت الرقم الكبير تحت مين؟", "tokens": [5172, 7649, 1829, 4724, 4587, 7578, 9122, 28259, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 43242, 8315, 2423, 3056, 12174, 3215, 33599, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 45164, 12602, 2407, 33753, 12602, 38251, 2655, 9673, 5016, 995, 13063, 20666, 8592, 28820, 23758, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 11778, 3224, 1975, 2655, 5016, 31747, 34105, 1975, 2655, 1863, 9957, 4032, 1975, 9566, 1211, 3615, 34105, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 28239, 47432, 3660, 29538, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 3660, 46599, 6027, 2655, 6027, 1829, 9673, 1863, 5016, 1863, 3660, 39896, 47283, 3215, 25124, 28820, 16712, 6027, 2655, 34892, 4587, 2304, 33251, 3555, 13546, 6055, 33753, 3714, 9957, 22807], "avg_logprob": -0.1727294911397621, "compression_ratio": 2.043269230769231, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3296.12, "end": 3296.44, "word": "فاني", "probability": 0.4489542643229167}, {"start": 3296.44, "end": 3296.6, "word": " بقى", "probability": 0.6171875}, {"start": 3296.6, "end": 3297.02, "word": " كدا", "probability": 0.564453125}, {"start": 3297.02, "end": 3298.28, "word": " يبقى", "probability": 0.8482666015625}, {"start": 3298.28, "end": 3298.68, "word": " احنا", "probability": 0.9358723958333334}, {"start": 3298.68, "end": 3299.2, "word": " عندنا", "probability": 0.9658203125}, {"start": 3299.2, "end": 3299.36, "word": " ال", "probability": 0.92578125}, {"start": 3299.36, "end": 3299.66, "word": " center", "probability": 0.4833984375}, {"start": 3299.66, "end": 3300.32, "word": " قداش", "probability": 0.8479817708333334}, {"start": 3300.32, "end": 3301.08, "word": " اتنين", "probability": 0.8643798828125}, {"start": 3301.08, "end": 3301.44, "word": " و", "probability": 0.8466796875}, {"start": 3301.44, "end": 3302.16, "word": " تلاتة", "probability": 0.8773193359375}, {"start": 3302.16, "end": 3303.12, "word": " يبقى", "probability": 0.9674072265625}, {"start": 3303.12, "end": 3303.3, "word": " لو", "probability": 0.9345703125}, {"start": 3303.3, "end": 3303.66, "word": " روحت", "probability": 0.8162434895833334}, {"start": 3303.66, "end": 3304.22, "word": " رسمت", "probability": 0.931640625}, {"start": 3304.22, "end": 3304.92, "word": " المحاور", "probability": 0.837890625}, {"start": 3304.92, "end": 3305.86, "word": " بالشكل", "probability": 0.9339192708333334}, {"start": 3305.86, "end": 3306.12, "word": " هذا", "probability": 0.93408203125}, {"start": 3306.12, "end": 3306.38, "word": " هذا", "probability": 0.47900390625}, {"start": 3306.38, "end": 3306.88, "word": " محور", "probability": 0.9884440104166666}, {"start": 3306.88, "end": 3307.32, "word": " X", "probability": 0.81591796875}, {"start": 3307.32, "end": 3308.02, "word": " هذا", "probability": 0.7734375}, {"start": 3308.02, "end": 3308.58, "word": " محور", "probability": 0.9794921875}, {"start": 3308.58, "end": 3308.94, "word": " Y", "probability": 0.99267578125}, {"start": 3308.94, "end": 3309.36, "word": " ده", "probability": 0.645263671875}, {"start": 3309.36, "end": 3309.84, "word": " اتحرك", "probability": 0.93115234375}, {"start": 3309.84, "end": 3310.2, "word": " هنا", "probability": 0.96923828125}, {"start": 3310.2, "end": 3310.74, "word": " اتنين", "probability": 0.9832763671875}, {"start": 3310.74, "end": 3311.2, "word": " و", "probability": 0.94384765625}, {"start": 3311.2, "end": 3311.54, "word": " اطلع", "probability": 0.9117431640625}, {"start": 3311.54, "end": 3311.84, "word": " هنا", "probability": 0.9814453125}, {"start": 3311.84, "end": 3312.68, "word": " تلاتة", "probability": 0.9803466796875}, {"start": 3312.68, "end": 3313.3, "word": " يبقى", "probability": 0.986572265625}, {"start": 3313.3, "end": 3313.9, "word": " النقطة", "probability": 0.9736328125}, {"start": 3313.9, "end": 3314.34, "word": " هذه", "probability": 0.66259765625}, {"start": 3314.34, "end": 3315.32, "word": " اتنين", "probability": 0.9830322265625}, {"start": 3315.32, "end": 3315.98, "word": " و", "probability": 0.93017578125}, {"start": 3315.98, "end": 3317.22, "word": " تلاتة", "probability": 0.9814453125}, {"start": 3317.22, "end": 3318.34, "word": " وبالتالي", "probability": 0.90791015625}, {"start": 3318.34, "end": 3319.48, "word": " المنحنة", "probability": 0.92099609375}, {"start": 3319.48, "end": 3320.08, "word": " هياخد", "probability": 0.9521484375}, {"start": 3320.08, "end": 3320.64, "word": " الشكل", "probability": 0.980712890625}, {"start": 3320.64, "end": 3321.24, "word": " التالت", "probability": 0.7906087239583334}, {"start": 3321.24, "end": 3322.28, "word": " الرقم", "probability": 0.96630859375}, {"start": 3322.28, "end": 3322.72, "word": " الكبير", "probability": 0.9541015625}, {"start": 3322.72, "end": 3323.06, "word": " تحت", "probability": 0.994140625}, {"start": 3323.06, "end": 3323.6, "word": " مين؟", "probability": 0.6197102864583334}], "temperature": 1.0}, {"id": 143, "seek": 334089, "start": 3324.17, "end": 3340.89, "text": "تحت Y يبقى ال major axis هو محور Y الإشارة صحيح الإشارة محور X يبقى هو محور X صحيح يبقى هيك تصير بالشكل هنا وهذا من ناحية التانية بالشكل هذا", "tokens": [2655, 33753, 398, 7251, 3555, 4587, 7578, 2423, 2563, 10298, 31439, 3714, 5016, 13063, 398, 33688, 8592, 9640, 3660, 20328, 5016, 1829, 5016, 33688, 8592, 9640, 3660, 3714, 5016, 13063, 1783, 7251, 3555, 4587, 7578, 31439, 3714, 5016, 13063, 1783, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 39896, 4117, 6055, 9381, 13546, 20666, 8592, 28820, 34105, 37037, 15730, 9154, 8717, 39319, 10632, 16712, 7649, 10632, 20666, 8592, 28820, 23758], "avg_logprob": -0.22414172829036982, "compression_ratio": 1.7246376811594204, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3324.17, "end": 3324.73, "word": "تحت", "probability": 0.53411865234375}, {"start": 3324.73, "end": 3325.21, "word": " Y", "probability": 0.751953125}, {"start": 3325.21, "end": 3325.57, "word": " يبقى", "probability": 0.7529296875}, {"start": 3325.57, "end": 3325.67, "word": " ال", "probability": 0.37255859375}, {"start": 3325.67, "end": 3325.93, "word": " major", "probability": 0.580078125}, {"start": 3325.93, "end": 3326.47, "word": " axis", "probability": 0.97802734375}, {"start": 3326.47, "end": 3326.81, "word": " هو", "probability": 0.94287109375}, {"start": 3326.81, "end": 3327.65, "word": " محور", "probability": 0.9651692708333334}, {"start": 3327.65, "end": 3328.27, "word": " Y", "probability": 0.9765625}, {"start": 3328.27, "end": 3331.63, "word": " الإشارة", "probability": 0.787017822265625}, {"start": 3331.63, "end": 3331.85, "word": " صحيح", "probability": 0.75140380859375}, {"start": 3331.85, "end": 3332.27, "word": " الإشارة", "probability": 0.9022216796875}, {"start": 3332.27, "end": 3332.57, "word": " محور", "probability": 0.9490559895833334}, {"start": 3332.57, "end": 3332.83, "word": " X", "probability": 0.990234375}, {"start": 3332.83, "end": 3333.09, "word": " يبقى", "probability": 0.931640625}, {"start": 3333.09, "end": 3333.31, "word": " هو", "probability": 0.88623046875}, {"start": 3333.31, "end": 3333.73, "word": " محور", "probability": 0.984375}, {"start": 3333.73, "end": 3334.09, "word": " X", "probability": 0.99462890625}, {"start": 3334.09, "end": 3335.01, "word": " صحيح", "probability": 0.9298095703125}, {"start": 3335.01, "end": 3335.65, "word": " يبقى", "probability": 0.894775390625}, {"start": 3335.65, "end": 3336.17, "word": " هيك", "probability": 0.6829833984375}, {"start": 3336.17, "end": 3336.55, "word": " تصير", "probability": 0.717041015625}, {"start": 3336.55, "end": 3337.05, "word": " بالشكل", "probability": 0.9817708333333334}, {"start": 3337.05, "end": 3337.53, "word": " هنا", "probability": 0.9033203125}, {"start": 3337.53, "end": 3338.45, "word": " وهذا", "probability": 0.556640625}, {"start": 3338.45, "end": 3338.61, "word": " من", "probability": 0.97021484375}, {"start": 3338.61, "end": 3339.11, "word": " ناحية", "probability": 0.9345703125}, {"start": 3339.11, "end": 3339.55, "word": " التانية", "probability": 0.8683268229166666}, {"start": 3339.55, "end": 3340.27, "word": " بالشكل", "probability": 0.97021484375}, {"start": 3340.27, "end": 3340.89, "word": " هذا", "probability": 0.9140625}], "temperature": 1.0}, {"id": 144, "seek": 335901, "start": 3341.75, "end": 3359.01, "text": "طيب، الان بقدر أجيبله ال vertices يبقى باجي بيقول له the vertices are فليه بدأ كده ال H هي اتنين الأولى مين؟ هذه اتنين", "tokens": [9566, 1829, 3555, 12399, 2423, 7649, 4724, 28543, 2288, 5551, 7435, 1829, 3555, 43761, 2423, 32053, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 1829, 39648, 46740, 264, 32053, 366, 6156, 20292, 3224, 47525, 10721, 9122, 3215, 3224, 2423, 389, 39896, 1975, 2655, 1863, 9957, 16247, 12610, 7578, 3714, 9957, 22807, 29538, 1975, 2655, 1863, 9957], "avg_logprob": -0.3061951712558144, "compression_ratio": 1.4179104477611941, "no_speech_prob": 0.0, "words": [{"start": 3341.75, "end": 3342.75, "word": "طيب،", "probability": 0.611785888671875}, {"start": 3342.75, "end": 3343.17, "word": " الان", "probability": 0.58056640625}, {"start": 3343.17, "end": 3343.57, "word": " بقدر", "probability": 0.9562174479166666}, {"start": 3343.57, "end": 3344.01, "word": " أجيبله", "probability": 0.71962890625}, {"start": 3344.01, "end": 3344.19, "word": " ال", "probability": 0.93994140625}, {"start": 3344.19, "end": 3344.91, "word": " vertices", "probability": 0.87939453125}, {"start": 3344.91, "end": 3345.99, "word": " يبقى", "probability": 0.9102783203125}, {"start": 3345.99, "end": 3346.37, "word": " باجي", "probability": 0.8505859375}, {"start": 3346.37, "end": 3346.89, "word": " بيقول", "probability": 0.9010416666666666}, {"start": 3346.89, "end": 3347.13, "word": " له", "probability": 0.45556640625}, {"start": 3347.13, "end": 3347.63, "word": " the", "probability": 0.451416015625}, {"start": 3347.63, "end": 3349.81, "word": " vertices", "probability": 0.9765625}, {"start": 3349.81, "end": 3351.69, "word": " are", "probability": 0.671875}, {"start": 3351.69, "end": 3352.61, "word": " فليه", "probability": 0.5094807942708334}, {"start": 3352.61, "end": 3352.83, "word": " بدأ", "probability": 0.859375}, {"start": 3352.83, "end": 3353.21, "word": " كده", "probability": 0.7434895833333334}, {"start": 3353.21, "end": 3354.11, "word": " ال", "probability": 0.90185546875}, {"start": 3354.11, "end": 3354.49, "word": " H", "probability": 0.6025390625}, {"start": 3354.49, "end": 3354.91, "word": " هي", "probability": 0.91357421875}, {"start": 3354.91, "end": 3355.73, "word": " اتنين", "probability": 0.9222412109375}, {"start": 3355.73, "end": 3357.19, "word": " الأولى", "probability": 0.6526692708333334}, {"start": 3357.19, "end": 3358.05, "word": " مين؟", "probability": 0.7459309895833334}, {"start": 3358.05, "end": 3358.47, "word": " هذه", "probability": 0.5966796875}, {"start": 3358.47, "end": 3359.01, "word": " اتنين", "probability": 0.9791259765625}], "temperature": 1.0}, {"id": 145, "seek": 337467, "start": 3359.37, "end": 3374.67, "text": "يبقى بداخلها مقدار الـA بالزائد والنقص، الـA عنده يبقى الداشر، الـA بالثلاثة يبقى الزائد أو ناقص ثلاثة، والرأسي لم يتغير اللي هو من اللي هو الثلاثة", "tokens": [1829, 3555, 4587, 7578, 47525, 47283, 43761, 995, 3714, 28543, 9640, 2423, 39184, 32, 20666, 11622, 16373, 3215, 16070, 1863, 4587, 9381, 12399, 2423, 39184, 32, 43242, 3224, 7251, 3555, 4587, 7578, 32748, 33599, 2288, 12399, 2423, 39184, 32, 20666, 12984, 1211, 5718, 104, 3660, 7251, 3555, 4587, 7578, 6024, 110, 16373, 3215, 34051, 8717, 995, 4587, 9381, 38637, 1211, 5718, 104, 3660, 12399, 16070, 2288, 10721, 3794, 1829, 32767, 7251, 2655, 17082, 13546, 13672, 1829, 31439, 9154, 13672, 1829, 31439, 6024, 104, 1211, 5718, 104, 3660], "avg_logprob": -0.21910512007095598, "compression_ratio": 1.8732394366197183, "no_speech_prob": 0.0, "words": [{"start": 3359.37, "end": 3359.83, "word": "يبقى", "probability": 0.82098388671875}, {"start": 3359.83, "end": 3360.73, "word": " بداخلها", "probability": 0.4593505859375}, {"start": 3360.73, "end": 3361.49, "word": " مقدار", "probability": 0.9453125}, {"start": 3361.49, "end": 3361.95, "word": " الـA", "probability": 0.564208984375}, {"start": 3361.95, "end": 3362.63, "word": " بالزائد", "probability": 0.84625244140625}, {"start": 3362.63, "end": 3363.41, "word": " والنقص،", "probability": 0.74150390625}, {"start": 3363.41, "end": 3363.75, "word": " الـA", "probability": 0.916015625}, {"start": 3363.75, "end": 3364.31, "word": " عنده", "probability": 0.74072265625}, {"start": 3364.31, "end": 3364.39, "word": " يبقى", "probability": 0.9449462890625}, {"start": 3364.39, "end": 3365.65, "word": " الداشر،", "probability": 0.6475830078125}, {"start": 3365.65, "end": 3365.97, "word": " الـA", "probability": 0.97119140625}, {"start": 3365.97, "end": 3366.67, "word": " بالثلاثة", "probability": 0.8689778645833334}, {"start": 3366.67, "end": 3367.43, "word": " يبقى", "probability": 0.935546875}, {"start": 3367.43, "end": 3368.29, "word": " الزائد", "probability": 0.9510498046875}, {"start": 3368.29, "end": 3368.65, "word": " أو", "probability": 0.7998046875}, {"start": 3368.65, "end": 3369.29, "word": " ناقص", "probability": 0.9775390625}, {"start": 3369.29, "end": 3370.55, "word": " ثلاثة،", "probability": 0.90283203125}, {"start": 3370.55, "end": 3371.27, "word": " والرأسي", "probability": 0.80888671875}, {"start": 3371.27, "end": 3371.51, "word": " لم", "probability": 0.85302734375}, {"start": 3371.51, "end": 3372.35, "word": " يتغير", "probability": 0.9954833984375}, {"start": 3372.35, "end": 3372.57, "word": " اللي", "probability": 0.89794921875}, {"start": 3372.57, "end": 3372.75, "word": " هو", "probability": 0.98681640625}, {"start": 3372.75, "end": 3373.03, "word": " من", "probability": 0.3837890625}, {"start": 3373.03, "end": 3373.81, "word": " اللي", "probability": 0.66552734375}, {"start": 3373.81, "end": 3373.93, "word": " هو", "probability": 0.98193359375}, {"start": 3373.93, "end": 3374.67, "word": " الثلاثة", "probability": 0.9368489583333334}], "temperature": 1.0}, {"id": 146, "seek": 340220, "start": 3375.06, "end": 3402.2, "text": "يبقى بهادي بدها الساوية اما خمسة و تلاتة and التانية ناقص واحد و تلاتة يبقى هذه هنا ناقص واحد و تلاتة وهذه هنا اللي هي main خمسة و تلاتة يبقى خلاصة من ال main من ال center و ال vertices بدنا نيجي للفقاي يبقى ذي فقاي", "tokens": [1829, 3555, 4587, 7578, 4724, 11296, 16254, 47525, 11296, 21136, 995, 2407, 10632, 1975, 15042, 16490, 2304, 3794, 3660, 4032, 6055, 1211, 9307, 3660, 293, 16712, 7649, 10632, 8717, 995, 4587, 9381, 36764, 24401, 4032, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 29538, 34105, 8717, 995, 4587, 9381, 36764, 24401, 4032, 6055, 1211, 9307, 3660, 37037, 24192, 34105, 13672, 1829, 39896, 2135, 16490, 2304, 3794, 3660, 4032, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 16490, 1211, 33546, 3660, 9154, 2423, 2135, 9154, 2423, 3056, 4032, 2423, 32053, 47525, 8315, 8717, 1829, 7435, 1829, 24976, 5172, 4587, 47302, 7251, 3555, 4587, 7578, 29910, 1829, 6156, 4587, 47302], "avg_logprob": -0.19094036205099263, "compression_ratio": 2.0689655172413794, "no_speech_prob": 0.0, "words": [{"start": 3375.06, "end": 3375.64, "word": "يبقى", "probability": 0.8309326171875}, {"start": 3375.64, "end": 3376.16, "word": " بهادي", "probability": 0.5314534505208334}, {"start": 3376.16, "end": 3376.68, "word": " بدها", "probability": 0.724365234375}, {"start": 3376.68, "end": 3377.38, "word": " الساوية", "probability": 0.74713134765625}, {"start": 3377.38, "end": 3377.92, "word": " اما", "probability": 0.6817626953125}, {"start": 3377.92, "end": 3378.84, "word": " خمسة", "probability": 0.924072265625}, {"start": 3378.84, "end": 3379.0, "word": " و", "probability": 0.537109375}, {"start": 3379.0, "end": 3379.96, "word": " تلاتة", "probability": 0.9249267578125}, {"start": 3379.96, "end": 3381.24, "word": " and", "probability": 0.51416015625}, {"start": 3381.24, "end": 3382.6, "word": " التانية", "probability": 0.89794921875}, {"start": 3382.6, "end": 3383.62, "word": " ناقص", "probability": 0.9122314453125}, {"start": 3383.62, "end": 3384.12, "word": " واحد", "probability": 0.97900390625}, {"start": 3384.12, "end": 3384.3, "word": " و", "probability": 0.74169921875}, {"start": 3384.3, "end": 3384.98, "word": " تلاتة", "probability": 0.9417724609375}, {"start": 3384.98, "end": 3385.98, "word": " يبقى", "probability": 0.9652099609375}, {"start": 3385.98, "end": 3386.42, "word": " هذه", "probability": 0.6005859375}, {"start": 3386.42, "end": 3386.96, "word": " هنا", "probability": 0.94482421875}, {"start": 3386.96, "end": 3387.92, "word": " ناقص", "probability": 0.9822998046875}, {"start": 3387.92, "end": 3388.44, "word": " واحد", "probability": 0.988525390625}, {"start": 3388.44, "end": 3388.66, "word": " و", "probability": 0.984375}, {"start": 3388.66, "end": 3389.48, "word": " تلاتة", "probability": 0.973388671875}, {"start": 3389.48, "end": 3390.38, "word": " وهذه", "probability": 0.803955078125}, {"start": 3390.38, "end": 3390.64, "word": " هنا", "probability": 0.83984375}, {"start": 3390.64, "end": 3390.76, "word": " اللي", "probability": 0.73095703125}, {"start": 3390.76, "end": 3390.94, "word": " هي", "probability": 0.93701171875}, {"start": 3390.94, "end": 3391.3, "word": " main", "probability": 0.3349609375}, {"start": 3391.3, "end": 3392.34, "word": " خمسة", "probability": 0.9791259765625}, {"start": 3392.34, "end": 3392.5, "word": " و", "probability": 0.98046875}, {"start": 3392.5, "end": 3393.1, "word": " تلاتة", "probability": 0.9822998046875}, {"start": 3393.1, "end": 3394.02, "word": " يبقى", "probability": 0.9766845703125}, {"start": 3394.02, "end": 3394.6, "word": " خلاصة", "probability": 0.8778076171875}, {"start": 3394.6, "end": 3394.76, "word": " من", "probability": 0.98193359375}, {"start": 3394.76, "end": 3395.06, "word": " ال", "probability": 0.7265625}, {"start": 3395.06, "end": 3395.14, "word": " main", "probability": 0.46875}, {"start": 3395.14, "end": 3395.62, "word": " من", "probability": 0.90966796875}, {"start": 3395.62, "end": 3395.84, "word": " ال", "probability": 0.96875}, {"start": 3395.84, "end": 3396.26, "word": " center", "probability": 0.826171875}, {"start": 3396.26, "end": 3396.58, "word": " و", "probability": 0.91259765625}, {"start": 3396.58, "end": 3396.72, "word": " ال", "probability": 0.92431640625}, {"start": 3396.72, "end": 3397.26, "word": " vertices", "probability": 0.9794921875}, {"start": 3397.26, "end": 3398.26, "word": " بدنا", "probability": 0.74658203125}, {"start": 3398.26, "end": 3398.54, "word": " نيجي", "probability": 0.919189453125}, {"start": 3398.54, "end": 3399.58, "word": " للفقاي", "probability": 0.55145263671875}, {"start": 3399.58, "end": 3400.66, "word": " يبقى", "probability": 0.9853515625}, {"start": 3400.66, "end": 3400.94, "word": " ذي", "probability": 0.5743408203125}, {"start": 3400.94, "end": 3402.2, "word": " فقاي", "probability": 0.9305013020833334}], "temperature": 1.0}, {"id": 147, "seek": 342699, "start": 3402.55, "end": 3426.99, "text": "ر اتنين زيد او ناقص جدر الاربعة وتلاتين و تلاتة ماتغيرتش خلصناها مين بلعناها بس ال asymptote يبقى two to get او مش هنجيب ال asymptote ايش بدي اعمل؟ بدي اقول X ناقص اتنين لكل تربية على تسعة", "tokens": [2288, 1975, 2655, 1863, 9957, 30767, 25708, 1975, 2407, 8717, 995, 4587, 9381, 10874, 3215, 2288, 2423, 9640, 3555, 27884, 34683, 1211, 9307, 9957, 4032, 6055, 1211, 9307, 3660, 19446, 2655, 17082, 13546, 2655, 8592, 16490, 1211, 9381, 8315, 11296, 3714, 9957, 4724, 1211, 3615, 8315, 11296, 4724, 3794, 2423, 35114, 1370, 7251, 3555, 4587, 7578, 732, 281, 483, 1975, 2407, 37893, 8032, 1863, 7435, 1829, 3555, 2423, 35114, 1370, 1975, 1829, 8592, 4724, 16254, 1975, 25957, 1211, 22807, 4724, 16254, 1975, 39648, 1783, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 5296, 28820, 6055, 25513, 10632, 15844, 6055, 3794, 27884], "avg_logprob": -0.25857843546306386, "compression_ratio": 1.6507936507936507, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 3402.55, "end": 3403.27, "word": "ر", "probability": 0.10504150390625}, {"start": 3403.27, "end": 3404.67, "word": " اتنين", "probability": 0.83056640625}, {"start": 3404.67, "end": 3405.17, "word": " زيد", "probability": 0.5885009765625}, {"start": 3405.17, "end": 3405.39, "word": " او", "probability": 0.86962890625}, {"start": 3405.39, "end": 3405.95, "word": " ناقص", "probability": 0.97607421875}, {"start": 3405.95, "end": 3406.47, "word": " جدر", "probability": 0.93017578125}, {"start": 3406.47, "end": 3407.11, "word": " الاربعة", "probability": 0.77783203125}, {"start": 3407.11, "end": 3408.13, "word": " وتلاتين", "probability": 0.9052734375}, {"start": 3408.13, "end": 3408.55, "word": " و", "probability": 0.4140625}, {"start": 3408.55, "end": 3409.39, "word": " تلاتة", "probability": 0.8482666015625}, {"start": 3409.39, "end": 3410.67, "word": " ماتغيرتش", "probability": 0.7535400390625}, {"start": 3410.67, "end": 3411.67, "word": " خلصناها", "probability": 0.89072265625}, {"start": 3411.67, "end": 3411.87, "word": " مين", "probability": 0.7490234375}, {"start": 3411.87, "end": 3413.01, "word": " بلعناها", "probability": 0.5377197265625}, {"start": 3413.01, "end": 3413.43, "word": " بس", "probability": 0.8857421875}, {"start": 3413.43, "end": 3413.67, "word": " ال", "probability": 0.97021484375}, {"start": 3413.67, "end": 3414.75, "word": " asymptote", "probability": 0.737548828125}, {"start": 3414.75, "end": 3415.69, "word": " يبقى", "probability": 0.9771728515625}, {"start": 3415.69, "end": 3416.15, "word": " two", "probability": 0.81591796875}, {"start": 3416.15, "end": 3417.19, "word": " to", "probability": 0.76953125}, {"start": 3417.19, "end": 3417.73, "word": " get", "probability": 0.95458984375}, {"start": 3417.73, "end": 3418.43, "word": " او", "probability": 0.833251953125}, {"start": 3418.43, "end": 3418.59, "word": " مش", "probability": 0.623046875}, {"start": 3418.59, "end": 3419.03, "word": " هنجيب", "probability": 0.753076171875}, {"start": 3419.03, "end": 3419.19, "word": " ال", "probability": 0.9892578125}, {"start": 3419.19, "end": 3420.57, "word": " asymptote", "probability": 0.97265625}, {"start": 3420.57, "end": 3421.15, "word": " ايش", "probability": 0.7942708333333334}, {"start": 3421.15, "end": 3421.41, "word": " بدي", "probability": 0.7452392578125}, {"start": 3421.41, "end": 3422.25, "word": " اعمل؟", "probability": 0.81732177734375}, {"start": 3422.25, "end": 3422.47, "word": " بدي", "probability": 0.839599609375}, {"start": 3422.47, "end": 3422.95, "word": " اقول", "probability": 0.761474609375}, {"start": 3422.95, "end": 3423.43, "word": " X", "probability": 0.338623046875}, {"start": 3423.43, "end": 3424.09, "word": " ناقص", "probability": 0.943115234375}, {"start": 3424.09, "end": 3424.59, "word": " اتنين", "probability": 0.9818115234375}, {"start": 3424.59, "end": 3425.11, "word": " لكل", "probability": 0.78369140625}, {"start": 3425.11, "end": 3425.69, "word": " تربية", "probability": 0.792724609375}, {"start": 3425.69, "end": 3426.13, "word": " على", "probability": 0.7626953125}, {"start": 3426.13, "end": 3426.99, "word": " تسعة", "probability": 0.9747721354166666}], "temperature": 1.0}, {"id": 148, "seek": 345486, "start": 3428.46, "end": 3454.86, "text": "بدي يساوي من؟ بدي يساوي أو ناقص ال Y ناقص تلاتة لكل تربية على خمسة وعشرين بدي يساوي Zero ومنها Y ناقص تلاتة لكل تربية يساوي خمسة وعشرين على تسعة X ناقص اتنين لكل تربية يبقى Y ناقص تلاتة تساوي زاد أو ناقص", "tokens": [3555, 16254, 7251, 3794, 995, 45865, 9154, 22807, 4724, 16254, 7251, 3794, 995, 45865, 34051, 8717, 995, 4587, 9381, 2423, 398, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632, 15844, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 4724, 16254, 7251, 3794, 995, 45865, 17182, 4032, 27842, 11296, 398, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632, 7251, 3794, 995, 45865, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 15844, 6055, 3794, 27884, 1783, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 5296, 28820, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 398, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 6055, 3794, 995, 45865, 30767, 18513, 34051, 8717, 995, 4587, 9381], "avg_logprob": -0.12820184023165312, "compression_ratio": 2.3421052631578947, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3428.46, "end": 3429.08, "word": "بدي", "probability": 0.3531494140625}, {"start": 3429.08, "end": 3429.74, "word": " يساوي", "probability": 0.83526611328125}, {"start": 3429.74, "end": 3430.52, "word": " من؟", "probability": 0.4783935546875}, {"start": 3430.52, "end": 3430.94, "word": " بدي", "probability": 0.64599609375}, {"start": 3430.94, "end": 3431.52, "word": " يساوي", "probability": 0.9349365234375}, {"start": 3431.52, "end": 3431.76, "word": " أو", "probability": 0.267822265625}, {"start": 3431.76, "end": 3432.68, "word": " ناقص", "probability": 0.985107421875}, {"start": 3432.68, "end": 3433.28, "word": " ال", "probability": 0.9072265625}, {"start": 3433.28, "end": 3433.98, "word": " Y", "probability": 0.42041015625}, {"start": 3433.98, "end": 3435.06, "word": " ناقص", "probability": 0.900146484375}, {"start": 3435.06, "end": 3435.68, "word": " تلاتة", "probability": 0.863525390625}, {"start": 3435.68, "end": 3436.1, "word": " لكل", "probability": 0.903076171875}, {"start": 3436.1, "end": 3436.82, "word": " تربية", "probability": 0.80322265625}, {"start": 3436.82, "end": 3437.62, "word": " على", "probability": 0.630859375}, {"start": 3437.62, "end": 3438.3, "word": " خمسة", "probability": 0.947265625}, {"start": 3438.3, "end": 3439.08, "word": " وعشرين", "probability": 0.86181640625}, {"start": 3439.08, "end": 3439.66, "word": " بدي", "probability": 0.8818359375}, {"start": 3439.66, "end": 3440.22, "word": " يساوي", "probability": 0.9368896484375}, {"start": 3440.22, "end": 3440.74, "word": " Zero", "probability": 0.5380859375}, {"start": 3440.74, "end": 3441.78, "word": " ومنها", "probability": 0.8841145833333334}, {"start": 3441.78, "end": 3442.24, "word": " Y", "probability": 0.96875}, {"start": 3442.24, "end": 3442.84, "word": " ناقص", "probability": 0.9910888671875}, {"start": 3442.84, "end": 3443.36, "word": " تلاتة", "probability": 0.9779052734375}, {"start": 3443.36, "end": 3443.88, "word": " لكل", "probability": 0.991943359375}, {"start": 3443.88, "end": 3444.72, "word": " تربية", "probability": 0.9482421875}, {"start": 3444.72, "end": 3445.62, "word": " يساوي", "probability": 0.9742431640625}, {"start": 3445.62, "end": 3446.26, "word": " خمسة", "probability": 0.9827880859375}, {"start": 3446.26, "end": 3447.3, "word": " وعشرين", "probability": 0.9354248046875}, {"start": 3447.3, "end": 3447.84, "word": " على", "probability": 0.80322265625}, {"start": 3447.84, "end": 3448.48, "word": " تسعة", "probability": 0.98779296875}, {"start": 3448.48, "end": 3448.84, "word": " X", "probability": 0.931640625}, {"start": 3448.84, "end": 3449.42, "word": " ناقص", "probability": 0.9920654296875}, {"start": 3449.42, "end": 3449.84, "word": " اتنين", "probability": 0.971923828125}, {"start": 3449.84, "end": 3450.24, "word": " لكل", "probability": 0.99169921875}, {"start": 3450.24, "end": 3450.84, "word": " تربية", "probability": 0.9737955729166666}, {"start": 3450.84, "end": 3451.72, "word": " يبقى", "probability": 0.95361328125}, {"start": 3451.72, "end": 3451.98, "word": " Y", "probability": 0.98681640625}, {"start": 3451.98, "end": 3452.48, "word": " ناقص", "probability": 0.9947509765625}, {"start": 3452.48, "end": 3452.98, "word": " تلاتة", "probability": 0.97998046875}, {"start": 3452.98, "end": 3453.48, "word": " تساوي", "probability": 0.9775390625}, {"start": 3453.48, "end": 3454.02, "word": " زاد", "probability": 0.84765625}, {"start": 3454.02, "end": 3454.26, "word": " أو", "probability": 0.705078125}, {"start": 3454.26, "end": 3454.86, "word": " ناقص", "probability": 0.99609375}], "temperature": 1.0}, {"id": 149, "seek": 347640, "start": 3455.04, "end": 3476.4, "text": "خمسة ع تلاتة X ناقص اتنين هذا هي ال symptoms بروح للمسائل exercises exercises احداشر ستة من واحد لتمانية وستين multiple of three", "tokens": [9778, 2304, 3794, 3660, 6225, 6055, 1211, 9307, 3660, 1783, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 23758, 39896, 2423, 8332, 4724, 32887, 5016, 5296, 19528, 3794, 16373, 1211, 11900, 11900, 1975, 24401, 33599, 2288, 8608, 2655, 3660, 9154, 36764, 24401, 5296, 39237, 7649, 10632, 4032, 14851, 9957, 3866, 295, 1045], "avg_logprob": -0.19265919473935972, "compression_ratio": 1.3061224489795917, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3455.04, "end": 3455.84, "word": "خمسة", "probability": 0.8121337890625}, {"start": 3455.84, "end": 3455.94, "word": " ع", "probability": 0.7578125}, {"start": 3455.94, "end": 3456.6, "word": " تلاتة", "probability": 0.9544677734375}, {"start": 3456.6, "end": 3456.86, "word": " X", "probability": 0.3603515625}, {"start": 3456.86, "end": 3457.88, "word": " ناقص", "probability": 0.961669921875}, {"start": 3457.88, "end": 3459.18, "word": " اتنين", "probability": 0.78668212890625}, {"start": 3459.18, "end": 3459.82, "word": " هذا", "probability": 0.74560546875}, {"start": 3459.82, "end": 3460.26, "word": " هي", "probability": 0.7021484375}, {"start": 3460.26, "end": 3460.44, "word": " ال", "probability": 0.93896484375}, {"start": 3460.44, "end": 3461.24, "word": " symptoms", "probability": 0.4404296875}, {"start": 3461.24, "end": 3462.18, "word": " بروح", "probability": 0.8292643229166666}, {"start": 3462.18, "end": 3463.64, "word": " للمسائل", "probability": 0.93916015625}, {"start": 3463.64, "end": 3465.78, "word": " exercises", "probability": 0.91259765625}, {"start": 3465.78, "end": 3468.52, "word": " exercises", "probability": 0.3935546875}, {"start": 3468.52, "end": 3469.76, "word": " احداشر", "probability": 0.7923583984375}, {"start": 3469.76, "end": 3470.62, "word": " ستة", "probability": 0.9788411458333334}, {"start": 3470.62, "end": 3471.04, "word": " من", "probability": 0.9765625}, {"start": 3471.04, "end": 3471.56, "word": " واحد", "probability": 0.982421875}, {"start": 3471.56, "end": 3472.36, "word": " لتمانية", "probability": 0.913330078125}, {"start": 3472.36, "end": 3473.88, "word": " وستين", "probability": 0.8855794270833334}, {"start": 3473.88, "end": 3475.6, "word": " multiple", "probability": 0.7890625}, {"start": 3475.6, "end": 3475.92, "word": " of", "probability": 0.95263671875}, {"start": 3475.92, "end": 3476.4, "word": " three", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 150, "seek": 348858, "start": 3482.98, "end": 3488.58, "text": "بكرا ان شاء الله بنبدأ اخر section اللي هو 11-7", "tokens": [3555, 4117, 23557, 16472, 13412, 16606, 21984, 44945, 44510, 10721, 1975, 34740, 3541, 13672, 1829, 31439, 2975, 12, 22], "avg_logprob": -0.2599609509110451, "compression_ratio": 0.9866666666666667, "no_speech_prob": 0.0, "words": [{"start": 3482.98, "end": 3483.46, "word": "بكرا", "probability": 0.7529296875}, {"start": 3483.46, "end": 3483.6, "word": " ان", "probability": 0.81884765625}, {"start": 3483.6, "end": 3483.88, "word": " شاء", "probability": 0.9736328125}, {"start": 3483.88, "end": 3483.96, "word": " الله", "probability": 0.97412109375}, {"start": 3483.96, "end": 3484.9, "word": " بنبدأ", "probability": 0.9534505208333334}, {"start": 3484.9, "end": 3485.8, "word": " اخر", "probability": 0.7421875}, {"start": 3485.8, "end": 3486.6, "word": " section", "probability": 0.8603515625}, {"start": 3486.6, "end": 3487.58, "word": " اللي", "probability": 0.6474609375}, {"start": 3487.58, "end": 3487.72, "word": " هو", "probability": 0.86962890625}, {"start": 3487.72, "end": 3488.14, "word": " 11", "probability": 0.46923828125}, {"start": 3488.14, "end": 3488.58, "word": "-7", "probability": 0.6312255859375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3488.96075, "duration_after_vad": 3336.632218749991}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/gy3tuZaVa5Q_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/gy3tuZaVa5Q_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cb8f36acfbd4cca148b76635485ed4bc4ac99764
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/gy3tuZaVa5Q_raw.srt
@@ -0,0 +1,2088 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,550 --> 00:00:14,190
+بسم الله الرحمن الرحيم المرة اللى فتدأنا في
+
+3
+00:00:14,190 --> 00:00:19,390
+section 11-6 و اللى بتحدث عن ال conic sections فى
+
+4
+00:00:19,390 --> 00:00:23,310
+ال cartesian codons يعني القطوع المخروطية فى
+
+5
+00:00:23,310 --> 00:00:27,150
+الإحداثيات الكارتيزية و أخدنا أول قطع اللى هو
+
+6
+00:00:27,150 --> 00:00:30,510
+القطع المكافئة و أخدنا عليه مجموعة من الأمثلة ثم
+
+7
+00:00:30,510 --> 00:00:35,080
+اتعرضنا لجزء النظري تبع ال ellipseاللي هو القطع
+
+8
+00:00:35,080 --> 00:00:39,700
+الناقص فكانت المعادلة تبعته على الشكل X تربيع على
+
+9
+00:00:39,700 --> 00:00:44,100
+A تربيع زيد Y تربيع على B تربيع تسوى واحد
+
+10
+00:00:44,100 --> 00:00:49,060
+والمعادلة المرافقة كانت B يسوى الجدر التربيع إلى A
+
+11
+00:00:49,060 --> 00:00:55,340
+تربيعنقص C تربيع يبقى هذه المعادلة في صورتها العمب
+
+12
+00:00:55,340 --> 00:01:00,340
+نبدأ نطبق المعلومات اللي عندنا هذه بقول هات ال
+
+13
+00:01:00,340 --> 00:01:03,840
+standard form equation شكل المعادلة تبعت ال
+
+14
+00:01:03,840 --> 00:01:08,780
+ellipse اللي البقرتين zero وزاد او ناقص اربعة
+
+15
+00:01:08,780 --> 00:01:16,380
+والرأسين zero وزاد او ناقص خمسةطبعا قلنا هذا الشكل
+
+16
+00:01:16,380 --> 00:01:21,720
+إذا a أكبر من ال b يبقى ال major axis هو محور x
+
+17
+00:01:21,720 --> 00:01:26,680
+إذا b أكبر من a يبقى ال major axis هو main هو محور
+
+18
+00:01:26,680 --> 00:01:31,120
+y بناء عليه لو حبينا نرسم الرسم اللي عندنا هذه
+
+19
+00:01:31,120 --> 00:01:37,040
+فبجيب اقول هي المحاور هذا محور x هذا محور y هذا
+
+20
+00:01:37,040 --> 00:01:42,320
+نقطة الاصل اللي هو zeroقال للبقراتين 0 4 و 0 سالب
+
+21
+00:01:42,320 --> 00:01:48,500
+4 فلو قلت هذه هي النقطة 0 4 النقطة التانية اللي هي
+
+22
+00:01:48,500 --> 00:01:56,150
+0 و سالب 4 بالشكل هذا البقرتين الراسين 0 5يبقى هذا
+
+23
+00:01:56,150 --> 00:02:00,830
+zero وخمسة بالشكل اللي عندنا هذا يبقى هذه كمان
+
+24
+00:02:00,830 --> 00:02:07,230
+zero و سالب خمسة هذه zero وخمسة يبقى أصبح ال
+
+25
+00:02:07,230 --> 00:02:14,190
+ellipse على الشكل اللي عندنا هذا بهذا الشكل يبقى
+
+26
+00:02:14,190 --> 00:02:20,100
+شباب عنديالـ C تساوي كماش؟ الاربع، اللي هو المسافة
+
+27
+00:02:20,100 --> 00:02:25,560
+من الـ Center لغاية الـ Focus والـ A تساوي خمسة،
+
+28
+00:02:25,560 --> 00:02:30,120
+اللي هي المسافة من الـ Center لغاية الـ Vertex عند
+
+29
+00:02:30,120 --> 00:02:35,670
+A و C، أنا مش هنجيب له المعادلة، بدي A و Bببجيبها
+
+30
+00:02:35,670 --> 00:02:40,190
+من وين من العلاقة اللى عندنا هذه اذا بروح بقوله بي
+
+31
+00:02:40,190 --> 00:02:45,650
+تساوي الجدرى التربية الى ال a تربية ناقص c تربية
+
+32
+00:02:45,650 --> 00:02:50,990
+ال a تربية خمسة وعشرين ال c تربية الستة عشر يبقى
+
+33
+00:02:50,990 --> 00:02:55,880
+الجدرى التسعة اللى يبقى داشر بتلاتةيبقى المعادلة
+
+34
+00:02:55,880 --> 00:03:02,240
+هذه صارت X تربيع على B تربيع زائد Y تربيع على A
+
+35
+00:03:02,240 --> 00:03:09,240
+تربيع يساوي واحد يبقى صار X تربيع على تسعة زائد Y
+
+36
+00:03:09,240 --> 00:03:14,860
+تربيع على خمسة وعشرين يساوي واحد هذه المعادلة
+
+37
+00:03:14,860 --> 00:03:21,260
+المطلوبة لمن؟ لل ال ellipse قال لنا من
+
+38
+00:03:21,260 --> 00:03:26,860
+اللي بيحكي انت؟بقول X تربية على B تربية لإن ال
+
+39
+00:03:26,860 --> 00:03:32,040
+major axis هو محور Y نطلع للرقم الكبير لما يكون
+
+40
+00:03:32,040 --> 00:03:37,340
+الرقم الكبير في المقام بيكون المتغير اللي فوقه هو
+
+41
+00:03:37,340 --> 00:03:43,120
+ال Y هو ال major axis تمام؟ يبقى كلامنا صحيح بروح
+
+42
+00:03:43,120 --> 00:03:48,320
+الآن لمثال اتنين example two
+
+43
+00:03:51,320 --> 00:03:56,560
+بقول consider the
+
+44
+00:03:56,560 --> 00:04:01,620
+ellipse الوكس
+
+45
+00:04:01,620 --> 00:04:09,500
+تربيع على ستة عشر زائد ويتربيع على خمسة وعشرين
+
+46
+00:04:09,500 --> 00:04:18,960
+يساوي واحد that shifted لاربع
+
+47
+00:04:18,960 --> 00:04:28,850
+unitsاربع وحدات to the left and
+
+48
+00:04:28,850 --> 00:04:47,650
+five units وخمس وحدات down المعادلة
+
+49
+00:04:47,650 --> 00:04:49,150
+الجديدة of
+
+50
+00:05:06,410 --> 00:05:11,030
+والبقرتين فقهي و البرتسيز
+
+51
+00:05:30,060 --> 00:05:36,180
+سؤال مرة تانية، السؤال بيقول يعتبر المعادل لإن X
+
+52
+00:05:36,180 --> 00:05:39,080
+تربيه على 16 يبقى تربيه على 25 يساوي 1
+
+53
+00:05:44,520 --> 00:05:49,820
+أربع وحدات جهة الشمال يبقى شدناها جهة الشمال
+
+54
+00:05:49,820 --> 00:05:55,880
+بمقدار أربع وحدات وخمسة units down وخمس وحدات إلى
+
+55
+00:05:55,880 --> 00:06:00,740
+أسفل من وحدات الطول find a new equation هاتلي شكل
+
+56
+00:06:00,740 --> 00:06:05,090
+المعادلة الجديدة بعد ما عملت منالشفت يعني انك بدى
+
+57
+00:06:05,090 --> 00:06:10,650
+يعرف ما هو شكل هذه المعادلة بعد ال shift تمام؟ بعد
+
+58
+00:06:10,650 --> 00:06:15,950
+هيك بدى قداش المركز والبقرتين والرأسين لهذا ال
+
+59
+00:06:15,950 --> 00:06:19,870
+ellipse بدي لل ellipse اللى عندنا الرقم الكبير تحت
+
+60
+00:06:19,870 --> 00:06:23,830
+مين؟ تحت ال Y تقريبا يبقى ال major axis هو مين؟
+
+61
+00:06:24,190 --> 00:06:29,830
+محور Y يبقى لو جيت رسمت الرسمة تبعتي يبقى الرسمة
+
+62
+00:06:29,830 --> 00:06:37,350
+تبعتي الأساسية هذا محور X هذا محور Y بدي أتخيل أن
+
+63
+00:06:37,350 --> 00:06:43,650
+هذا الرسمة اللي عندي تمام؟ يبقى هذا الرسم اللي
+
+64
+00:06:43,650 --> 00:06:50,380
+تبعت للمعطاب قال ليه؟هنا طبعا واضح ان بيب اربعة و
+
+65
+00:06:50,380 --> 00:06:55,400
+ايه بيبقى كدهش بخمسة طيب عملناه اربع وحدات جهة
+
+66
+00:06:55,400 --> 00:06:59,700
+الشمال اربع وحدات جهة الشمال يبقى هاي النقطة
+
+67
+00:06:59,700 --> 00:07:05,420
+اليمين عندنا سالف اربعة ونزلناها خمس وحدات طيب ايه
+
+68
+00:07:05,420 --> 00:07:10,880
+عندي بخمسة يبقى اجتكبال النقطة هذهو تحتها مباشرة
+
+69
+00:07:10,880 --> 00:07:16,580
+يبقى صار ال center بدل ما هو 00 صار ال center له
+
+70
+00:07:16,580 --> 00:07:22,500
+سالب أربعة و سالب خمسة يبقى هاي المحاور هتصبح
+
+71
+00:07:22,500 --> 00:07:30,490
+بالشكل جديدأو بشكلها الجديد كالتالي هذا المحور
+
+72
+00:07:30,490 --> 00:07:37,610
+الراسي وهذا المحور الأفقي بالشكل هذا وبالتالي ال
+
+73
+00:07:37,610 --> 00:07:43,110
+ellipse هياخد الشكلي التالي هي من هنا هيك هيجيني
+
+74
+00:07:43,110 --> 00:07:47,950
+بالشكل هذا ومن هنا هيجيني بمين؟ بالشكل اللي عندنا
+
+75
+00:07:47,950 --> 00:07:55,220
+هذا يبقى هيجيني هك هذا الشكلتبقى هذا الشكل الجديد
+
+76
+00:07:55,220 --> 00:08:00,960
+للإليبس اللون الأزرق اللى عندك بدى أعرف طبعا ال
+
+77
+00:08:00,960 --> 00:08:05,700
+center صار سالب أربعة وسالب خمسة زى ما انت شايف
+
+78
+00:08:05,700 --> 00:08:12,850
+سالب أربعة وسالب خمسةبسيطة إذا المعادلة هذه بتصبح
+
+79
+00:08:12,850 --> 00:08:20,950
+على الشكل التالي the equation is الهمين x ناقص
+
+80
+00:08:20,950 --> 00:08:29,510
+ناقص أربعة لكل تربيع على ست عشرزائد واي ناقص ناقص
+
+81
+00:08:29,510 --> 00:08:35,390
+خمسة الكل تربيع على خمسة وعشرين يساوي كده؟ يساوي
+
+82
+00:08:35,390 --> 00:08:41,890
+واحد يبقى ها جالي هاتلي ال new question خلصنا منه
+
+83
+00:08:41,890 --> 00:08:46,590
+بعد هيك جالي هاتلي ال center تقوله بسيطة the
+
+84
+00:08:46,590 --> 00:08:48,310
+center
+
+85
+00:08:59,150 --> 00:09:04,640
+خلصنا من السنتة جالي هات للبقرة تينمش هنجيب له
+
+86
+00:09:04,640 --> 00:09:10,180
+الواردين بده اعرف قداش قيمة C طب احنا عندنا هنا ال
+
+87
+00:09:10,180 --> 00:09:17,160
+A تساوي خمسة وال B تساوي قداش أربعة بقدر اوجد C
+
+88
+00:09:17,160 --> 00:09:23,440
+يبقى هذا بده يعطيلك ان ال B اللي هي أربعة تساوي
+
+89
+00:09:23,440 --> 00:09:30,360
+الجدر التربيعي لمين؟ لخمسة وعشرين ناقص C تربيع
+
+90
+00:09:32,030 --> 00:09:38,310
+للأولاق اللي عندنا هذه مظبوط يبقى بدنا C ربيع يبقى
+
+91
+00:09:38,310 --> 00:09:44,730
+بصير عندنا C تربيع يسوى خمسة وعشرين ناقص ستة عشر
+
+92
+00:09:44,730 --> 00:09:52,790
+يبقى C تربيع يسوى تسعة يبقى C بزائد او ناقص تلاتة
+
+93
+00:09:52,790 --> 00:10:00,050
+يبقى المسافة اللي عندنا هذهبدا تكون كل هذه تلاتة
+
+94
+00:10:00,050 --> 00:10:06,150
+والمسافة التانية لهنا بدا تكون كذلك تلاتة أنا
+
+95
+00:10:06,150 --> 00:10:11,250
+مابديش مسافات، أنا مابدي إحداثيات، مابدي إحداثيات
+
+96
+00:10:11,250 --> 00:10:17,070
+البقرتين قداش وإحداثيات الرأسين قداش، فباجي بقول
+
+97
+00:10:17,070 --> 00:10:25,730
+له رفقايا خلي بالك معناه هذابنجي على يحداث المركز
+
+98
+00:10:25,730 --> 00:10:32,510
+اللي هو سالب أربعة هل سالب أربعة صار فيه تغيير؟ و
+
+99
+00:10:32,510 --> 00:10:38,210
+الله التغيير على why؟ تغيير على why؟ و سالب خمسة
+
+100
+00:10:38,210 --> 00:10:43,430
+زائد أو ناقص اللي طلعت عندك اللي هي جداش اللي هي
+
+101
+00:10:43,430 --> 00:10:48,890
+تلاتة يبقى هذا بيعطينا مين البقرتين يبقى هذه شو
+
+102
+00:10:48,890 --> 00:10:55,130
+تساوي؟يبقى هذه تساوي سالب أربعة سالب خمسة وزائد
+
+103
+00:10:55,130 --> 00:11:02,530
+تلاتة بسالب اتنين and سالب أربعة وسالب تمانية إذا
+
+104
+00:11:02,530 --> 00:11:08,430
+صارت البقرة هذه سالب أربعة وسالب تمانية والبقرة
+
+105
+00:11:08,430 --> 00:11:14,610
+اللي عندنا هذه سالب أربعة وسالب اتنينجبت له
+
+106
+00:11:14,610 --> 00:11:20,450
+إحداثيات البورتين، بدي إحداثيات الرأسين خلصنا
+
+107
+00:11:20,450 --> 00:11:25,310
+الفوكاي، بدنا نيجي لل vertices فبروح بقول له the
+
+108
+00:11:25,310 --> 00:11:34,000
+vertices areبنفس الطريقة ناقص أربعة مالاش دعوة
+
+109
+00:11:34,000 --> 00:11:41,060
+وبعد هيك اللي هو ناقص خمسة أضفنا عليها من اللي هي
+
+110
+00:11:41,060 --> 00:11:50,380
+a يبقى a اللي بيصير زائد أو ناقص خمسةيبقى هذه بدها
+
+111
+00:11:50,380 --> 00:11:59,440
+تساوي مين؟ سالب أربعة هو Zero and التانية سالب
+
+112
+00:11:59,440 --> 00:12:05,340
+أربعة و سالب عشرة يبقى هذه النقطة اللي هي سالب
+
+113
+00:12:05,340 --> 00:12:11,360
+أربعة و سالب عشرة هذه النقطة اللي هي سالب أربعة و
+
+114
+00:12:11,360 --> 00:12:16,060
+Zero اللي هو الرأسين يبقى هذا المطلوب الأخير من
+
+115
+00:12:16,060 --> 00:12:26,250
+المثلةهل يوجد أحد هنا يتساءل؟ نفسنا
+
+116
+00:12:26,250 --> 00:12:31,510
+كيف رسمنا الرسمة من المعطيات اللي موجودة و بعد ذلك
+
+117
+00:12:31,510 --> 00:12:34,590
+عملنا ال shift اللي قال عنه و فصلت الرسمة على
+
+118
+00:12:34,590 --> 00:12:39,090
+الشكل هذا بعدها بجيب أحدث ال vertices للرسمة
+
+119
+00:12:39,090 --> 00:12:44,500
+الجديدة و ال foci للرسمة الجديدةبس قبل ما اقدرش،
+
+120
+00:12:44,500 --> 00:12:48,480
+صحيح ولا لا؟ يبقى يا شباب، بدك ترسم حتى لو ما
+
+121
+00:12:48,480 --> 00:12:54,620
+جالكش ارسم، الرسم يسهل عملية الحل، وبتحط كل نقطة
+
+122
+00:12:54,620 --> 00:13:02,000
+في موقعها فعلا طيب، ابنروح لمثال تلاتة، يبقى مثال
+
+123
+00:13:02,000 --> 00:13:12,020
+تلاتة بيقول لي find the center والبورتين فكاي
+
+124
+00:13:12,920 --> 00:13:23,140
+والرأسين اللي هم and vertices of
+
+125
+00:13:23,140 --> 00:13:35,630
+the ellipse، ال ellipse اللي همينتسعة X تربيع تسعة
+
+126
+00:13:35,630 --> 00:13:44,170
+X تربيع زائد ستة عشر Y تربيع زائد اربعة و خمسين X
+
+127
+00:13:44,170 --> 00:13:53,190
+اربعة و خمسين X ناقص اتنين و تلاتين Y ناقص سبعة و
+
+128
+00:13:53,190 --> 00:13:55,570
+اربعين تساوي Zero
+
+129
+00:14:14,440 --> 00:14:21,120
+نعود لسؤالنا المعادلة في صيغتها العامة ومن خلالها
+
+130
+00:14:21,120 --> 00:14:26,440
+نقلب الدل المركز والبقرتين والرأسين للقطع الناقص
+
+131
+00:14:26,440 --> 00:14:31,000
+اللي عندنا يبقى أول شغلة بقدر أعملها أجمع ال X مع
+
+132
+00:14:31,000 --> 00:14:34,720
+بعض و أجمع ال Y مع بعض وبعدين اللي الله سبحانه
+
+133
+00:14:34,720 --> 00:14:41,480
+وتعالى يحلهافمثلا لو جيت جولت هيك اي solution هذه
+
+134
+00:14:41,480 --> 00:14:47,340
+x ثربية وهذه فيها x ممكن اخد تسعة عامل مشترك بظل
+
+135
+00:14:47,340 --> 00:14:54,740
+عندي جداش x ثربية زائد 6x تعين الواي فيهم 16 عامل
+
+136
+00:14:54,740 --> 00:15:03,240
+مشتركيبقى زائد 16 في Y تربية ناقص 2Y بل تهندس 47
+
+137
+00:15:03,240 --> 00:15:09,280
+مقدار ثابت حتى وديها على الشجة التانيةطيب شو رايك
+
+138
+00:15:09,280 --> 00:15:16,300
+كل قوس بنقدر نعمله اكمال للمربع يبقى لو عملناه
+
+139
+00:15:16,300 --> 00:15:22,380
+اكمال للمربع بصير تسعة X تربيه زائد ستة X زائد
+
+140
+00:15:22,380 --> 00:15:28,880
+تسعة زائد ستاشر Y تربيه ناقص اتنين Y زائد واحد
+
+141
+00:15:28,880 --> 00:15:34,260
+يسوى سبعة واربعين زائد اضيف هنا تسعة
+
+142
+00:15:38,830 --> 00:15:45,610
+تسعة تسعة مضروبة في تسعة دي البالة يبقى كأنه اضافت
+
+143
+00:15:45,610 --> 00:15:51,250
+واحد و تمانين يبقى باجي بقوله زائد واحد و تمانين
+
+144
+00:15:51,250 --> 00:15:57,590
+زائد ستاشر في واحد اللي هو ستاشر يبقى زائد ستاشر
+
+145
+00:15:57,590 --> 00:16:04,070
+يبقى أصبحت المسألة على الشكل التالي هي تسعة X زائد
+
+146
+00:16:04,070 --> 00:16:12,230
+تلاتة لكل تربيةزائد ست عشر و اناقص واحد لكل تربيع
+
+147
+00:16:12,230 --> 00:16:16,430
+اجمع هدولك بتلاقيهم 144
+
+148
+00:16:18,190 --> 00:16:22,850
+بنحط المعادلة في ال standard form يبقى بروح بجسم
+
+149
+00:16:22,850 --> 00:16:29,570
+كله على مين؟ على 144 بصير x زائد 3 الكولتر بي على
+
+150
+00:16:29,570 --> 00:16:37,230
+16 و y ناقص واحد الكولتر بي على 9 يسوى كده؟ واحد
+
+151
+00:16:37,230 --> 00:16:41,270
+يبقى المعادلة الأصلية بعد اللفلفة اللي عملناها
+
+152
+00:16:41,270 --> 00:16:46,330
+صارت على الشكل اللي عندنا هذا يبقى هذا عبارة عن
+
+153
+00:16:46,330 --> 00:16:58,900
+ellipsewith center H وK بده ساوي سالب تلاتة وواحد
+
+154
+00:16:58,900 --> 00:17:03,480
+يبقى حددنا ال center اللي هو المطلوب الأول اللي
+
+155
+00:17:03,480 --> 00:17:09,680
+طلبه مش ان اجيب الفكاية بال DC باجي بقوله اه الرقم
+
+156
+00:17:09,680 --> 00:17:16,500
+الكبيرتحت اللي هو ال X يبقى ال A يساوي أربعة وال B
+
+157
+00:17:16,500 --> 00:17:23,280
+يساوي تلاتة بقدر أجيب له C هذه B يساوي الجذر
+
+158
+00:17:23,280 --> 00:17:30,300
+التربية اللي A تربية ب 16 ماقص C تربية ومنها C
+
+159
+00:17:30,300 --> 00:17:36,710
+تربية تساوي ربعالـ B عندي هنا بتلاتة تسوية يعني
+
+160
+00:17:36,710 --> 00:17:43,230
+يبقى بسيط عندي هنا مابداش C تربية بسوية 16 ناقص 9
+
+161
+00:17:43,230 --> 00:17:50,970
+اللي هو بقداش 7 يبقى C بتسوية جدر من جدر السبعة
+
+162
+00:18:01,380 --> 00:18:08,120
+الرقم الكبير تحت ال X يبقى فوق ال X خط موازي لمحور
+
+163
+00:18:08,120 --> 00:18:13,500
+X لأنه عملنا له shift يبقى لو رحت وقلت ايه المحاور
+
+164
+00:18:14,000 --> 00:18:20,160
+وهذا محور X وهذا محور Y ال center عندي اللي هو
+
+165
+00:18:20,160 --> 00:18:26,420
+سالب تلاتة واحد يبقى بدي أمشي هنا هاي سالب تلاتة و
+
+166
+00:18:26,420 --> 00:18:31,960
+بدي أطلع واحد سالب تلاتة واحد هذا من هذا ال center
+
+167
+00:18:31,960 --> 00:18:37,200
+إذا المحور الجديد ده بدي تصبح بالشكل اللي عندنا
+
+168
+00:18:37,200 --> 00:18:42,960
+هذا هيك وهذا بدي يجيني بالشكل اللي هذا هيك تمام؟
+
+169
+00:18:45,120 --> 00:18:50,520
+يبقى ايه المحاول الجديدة؟ الان بالنسبة له ال
+
+170
+00:18:50,520 --> 00:18:55,260
+ellipse اللى عندنا ال a عندى بقداش؟ باربع طب هدى
+
+171
+00:18:55,260 --> 00:19:01,560
+قداش؟ تلاتة يبقى اتحرك كمان واحد على اليمين هدى
+
+172
+00:19:01,560 --> 00:19:07,660
+اتحرك لمقدار واحد وهدى بدأ تجيلك بجيت الرسمة هنا
+
+173
+00:19:07,660 --> 00:19:12,660
+بالشكل هنا يبقى بده يصير ال ellipse بالشكل هذا هيك
+
+174
+00:19:14,820 --> 00:19:23,720
+طبعاً يبقى هذا شكل ال الابس عندنا طيب
+
+175
+00:19:23,720 --> 00:19:29,530
+الآن بدنا نجيب باقى المعلومات جليهات للبقرتينفباجي
+
+176
+00:19:29,530 --> 00:19:38,630
+بقوله اضيفه كي ار من هم نيجي هاي سالب تلاتة هو
+
+177
+00:19:38,630 --> 00:19:45,130
+اللي حصله تغيير يبقى بده اضيفله و اطرح منه سبعة
+
+178
+00:19:45,130 --> 00:19:51,870
+تحت الجذر والاحداث الراسي هل تغير؟ لم يتغير، اذا
+
+179
+00:19:51,870 --> 00:19:54,530
+مين اللي بيسأل؟ ايوة؟
+
+180
+00:19:56,890 --> 00:20:03,690
+طيب هاي محور X هاي سالب تلاتة ده كتب فيها سبعة يام
+
+181
+00:20:03,690 --> 00:20:09,690
+جدر سبعة وجدر سبعة على الشمال زائد او معاقص جدر
+
+182
+00:20:09,690 --> 00:20:13,850
+سبعة و الواحد الرأسي زي ما هو ماتغيرش الواحد،
+
+183
+00:20:13,850 --> 00:20:21,390
+مصدوق؟ يا راجل هذا ال major axis محور موازي ال X
+
+184
+00:20:21,390 --> 00:20:26,330
+مال لو مال ال Y؟مش هايه اللي عندك الرقم 16 أكبر من
+
+185
+00:20:26,330 --> 00:20:30,670
+9، يبقى ال major axis هو موازي لمحوركس، اللي هو
+
+186
+00:20:30,670 --> 00:20:35,830
+main الخط هذا، هذا هو ال major axis الآن، تمام؟
+
+187
+00:20:35,830 --> 00:20:40,330
+يبقى البقرتين عليه، طيب الإحداث السيني هذا قداش،
+
+188
+00:20:40,330 --> 00:20:45,500
+هذه zero، وهذه؟هي أنا قلنا سالب تلاتة، يبقى السالب
+
+189
+00:20:45,500 --> 00:20:49,600
+تلاتة واحد المركز، على يمينه اتحرك جدر السابعة
+
+190
+00:20:49,600 --> 00:20:54,320
+وعلى شماله سالب جدر السابعة، مظبوط ولا لا؟ يبقى
+
+191
+00:20:54,320 --> 00:20:58,980
+قلنا سالب تلاتة زائد أو نقص جدر السابعة، والرأس
+
+192
+00:20:58,980 --> 00:21:05,360
+يبقى واحد كما هومظبوط؟ يعني بدى يجيلك هنا هى سالب
+
+193
+00:21:05,360 --> 00:21:11,460
+تلاتة سالب جذر سبعة وهدى لو قلنا هنا يمكن تيجي
+
+194
+00:21:11,460 --> 00:21:14,600
+اكتر شوية بعرفش كده الجذر السبعة ليه و بحق اكتر من
+
+195
+00:21:14,600 --> 00:21:19,440
+اتنين و نص اقل اكتر من اتنين و نص اتنين و نص يعني
+
+196
+00:21:19,440 --> 00:21:25,320
+قول تقريبا هنا يبقى هدى بدى يصير سالب تلاتة و زائد
+
+197
+00:21:25,320 --> 00:21:33,000
+جذر سبعة واحد صحىهذه فاصلة واحدة صحيحة يبقى هذه
+
+198
+00:21:33,000 --> 00:21:37,700
+البقرتين اللي هو طالبهم بعدها اقل ال vertices بروح
+
+199
+00:21:37,700 --> 00:21:45,140
+بقول له the vertices are نفس القصة هي ناقص ثلاثة
+
+200
+00:21:45,140 --> 00:21:52,320
+زائد او ناقص ايه ال a عندك قداشر اربعة والواحد لم
+
+201
+00:21:52,320 --> 00:21:58,800
+يتغير اللي هو بده يساوييبقى هذه اللي هي تساوي سالب
+
+202
+00:21:58,800 --> 00:22:04,140
+تلاتة وزيد أربعة بيظل جداش واحد والواحد and
+
+203
+00:22:04,140 --> 00:22:10,340
+التانية سالب تلاتة وسالب أربعة ليه؟ سالب سبعة
+
+204
+00:22:10,340 --> 00:22:16,700
+وواحد يبقى هذه سالب سبعة واحد وهذه اللي هي واحد
+
+205
+00:22:16,700 --> 00:22:25,120
+واحد خلصنا؟ اه خلصنا انت السؤال نيجي للسؤال الرابع
+
+206
+00:22:29,630 --> 00:22:44,350
+سؤال الرابع Find an equation for the ellipse with
+
+207
+00:22:44,350 --> 00:22:47,370
+فكاي
+
+208
+00:22:47,370 --> 00:22:52,310
+بُقرتين اتنين واحد
+
+209
+00:22:53,980 --> 00:23:09,120
+أتنين و واحد و أتنين و سالب تلاتة and major axis
+
+210
+00:23:09,120 --> 00:23:19,950
+و المحور الرئيسي of lengthستة قولوا يستوي ستة find
+
+211
+00:23:19,950 --> 00:23:31,810
+its center بدنا المركز تبعه and ال vertices بدنا
+
+212
+00:23:31,810 --> 00:23:34,310
+كمان الرأسين جدار
+
+213
+00:23:55,050 --> 00:23:58,630
+بنرجع لسؤالنا مرة تانية بيقول ياسي يوم اعطي ال
+
+214
+00:23:58,630 --> 00:24:03,850
+ellipse ومعطيني بؤرتين بالشكل هذا السؤال يالكم من
+
+215
+00:24:03,850 --> 00:24:07,750
+خلال البؤرتين ال ellipse معموله shift ولا ما هواش
+
+216
+00:24:07,750 --> 00:24:11,710
+معموله shift؟ معموله shift لأنه لو ماكانش معمول
+
+217
+00:24:11,710 --> 00:24:17,230
+ياما zero رقم، ياما رقم و zero، هذا مش معمول، بس
+
+218
+00:24:17,230 --> 00:24:21,790
+كونه ماعنديش zero، إذن automatic هذا معموله shift
+
+219
+00:24:22,050 --> 00:24:27,170
+الان بدى اعرف هل الرسم هذى فوق ال axis خط موازي
+
+220
+00:24:27,170 --> 00:24:32,270
+إلى محور X ولا موازي إلى محور Y؟ ابنى جيه نرسم،
+
+221
+00:24:32,270 --> 00:24:37,550
+فلو جينا رسمنا بنقول هذا المنحناه اللى عنديهذا
+
+222
+00:24:37,550 --> 00:24:44,790
+محور X هذا اللي هو بين محور Y هذه نقطة الأصل جلل
+
+223
+00:24:44,790 --> 00:24:50,670
+بغرتين اتنين و واحد و اتنين و سلب تلاتة اتنين يبقى
+
+224
+00:24:50,670 --> 00:24:56,350
+هاي اتنين و اطلع هنا واحد يبقى هذه اتنين و واحد
+
+225
+00:24:56,810 --> 00:25:01,750
+البقرة التانية اتنين و سلب تلاتة يبقى على الخط
+
+226
+00:25:01,750 --> 00:25:07,530
+اللي عندنا هذا هي اتنين و بدي أنزل سلب تلاتة اللي
+
+227
+00:25:07,530 --> 00:25:12,410
+هي النقطة اللي عندنا هذا يبقى اتنين و سلب تلاتة هي
+
+228
+00:25:12,410 --> 00:25:20,910
+البقرتين اللي موجودات عندنا طيب
+
+229
+00:25:21,820 --> 00:25:29,360
+هذه البُقرة تنقض على الرأس و تحت البُقرة الثانية و
+
+230
+00:25:29,360 --> 00:25:33,920
+بعد البُقرة الأولى يبقى لو رسمت ال ellipse سيأخذ
+
+231
+00:25:33,920 --> 00:25:41,580
+الشكل التالي بهذا الشكليبقى هذا ال ellipse هاللي
+
+232
+00:25:41,580 --> 00:25:47,480
+عندنا طيب رسمنا رسم أولي لل ellipse نجي نشوف باقى
+
+233
+00:25:47,480 --> 00:25:53,840
+المعلومات لما يقوللي هذه البقرتين بدت أطلع C ولا
+
+234
+00:25:53,840 --> 00:26:01,620
+لأ قاللي ال major axis طوله يستوي كده؟ ستة ال
+
+235
+00:26:01,620 --> 00:26:08,280
+major axis ببدأ من عند النقطة هذهلغاية النقطة هذه
+
+236
+00:26:08,280 --> 00:26:13,520
+يبقى المسافة دي ليه كداش؟ اتنين اه ممتاز يبقى باجي
+
+237
+00:26:13,520 --> 00:26:20,180
+بقوله solution عندنا اتنين ايه يساوي ستة اذا ايه
+
+238
+00:26:20,180 --> 00:26:26,580
+تساوي كداش؟ تلاتة كويس هذه معلومة كويس بدي اطلع ال
+
+239
+00:26:26,580 --> 00:26:34,250
+C فبحدا فيكم يقدر يقولي كداش بالله اتنين Cأربعة
+
+240
+00:26:34,250 --> 00:26:38,510
+يعني المسافة من النقطة هذه و هذه، هذه تلاتة و هذه
+
+241
+00:26:38,510 --> 00:26:44,570
+واحد يبقى أربعة يبقى اتنين C يساوي واحد زائد تلاتة
+
+242
+00:26:44,570 --> 00:26:51,130
+يساوي أربعة يبقى C تساوي قداش اتنين إذا A موجودة و
+
+243
+00:26:51,130 --> 00:26:57,210
+C موجودة بقدر وجد من؟ب يبقى بيبقى تساوي الجذر
+
+244
+00:26:57,210 --> 00:27:02,850
+التربيع الى a تربيع ماقص c تربيع ال a تربيع بتسعة
+
+245
+00:27:02,850 --> 00:27:09,050
+وc تربيع باربع يبقى square root له خمسة يبقى عرفنا
+
+246
+00:27:09,050 --> 00:27:14,950
+a وb اضايل علينا ال center بدي اعرف قداش ال center
+
+247
+00:27:14,950 --> 00:27:20,530
+تبعه هذااذا عرفت ال center بكون انت هنا فضعله فوق
+
+248
+00:27:20,530 --> 00:27:25,610
+المعروف اللي هو جداش، اتنين، بظلي الراسي، كيه بدي
+
+249
+00:27:25,610 --> 00:27:29,090
+اعرف الراسي؟
+
+250
+00:27:29,090 --> 00:27:33,670
+ماشي عن نص و نقسم على اتنين، المسافة ما بينهم جداش
+
+251
+00:27:34,410 --> 00:27:39,690
+اربعة تمام؟ اتنين C يساوي اربعة يبقى C يساوي اتنين
+
+252
+00:27:39,690 --> 00:27:46,150
+يعني المسافة هذه من هنا لهنا كلها بجداش طيب هذه من
+
+253
+00:27:46,150 --> 00:27:50,890
+هنا لهنا بواحد فضل هذه هنا هنا جداش إذا الإحداث
+
+254
+00:27:50,890 --> 00:28:02,570
+اتنين و سالب واحد باجي بقوله هنا لأسفر ال H و K
+
+255
+00:28:02,570 --> 00:28:03,950
+بده يساوي
+
+256
+00:28:06,570 --> 00:28:09,370
+هو ثاني بواحد، إذا قد رسول الله صلى الله عليه و
+
+257
+00:28:09,370 --> 00:28:13,830
+سلم قال الواحد هو مُعادَل، لأنه كان يحت المُعادَل،
+
+258
+00:28:13,830 --> 00:28:19,230
+فأنا روحت قدر الـ Creation الـ Creation، طبعا الـ
+
+259
+00:28:19,230 --> 00:28:21,770
+Manifestation و الـ Manifestation هو الواحد، و الـ
+
+260
+00:28:21,770 --> 00:28:27,890
+Manifestation هو الواحد، ثاني بواحد، كل ثاني بيعة،
+
+261
+00:28:27,890 --> 00:28:28,470
+تمام؟
+
+262
+00:28:36,140 --> 00:28:42,960
+نقص اتنين الكل تربيع على P تربيع خمسة كله بده
+
+263
+00:28:42,960 --> 00:28:50,000
+يستوي واحد يبقى هاد مام هاد المعادلة I مطلوبة جالي
+
+264
+00:28:50,000 --> 00:28:53,440
+هاد ال equation جيبناها له وبعدي جالي هاد لل
+
+265
+00:28:53,440 --> 00:28:57,720
+center يبقى جيبناها لل center وبعدي جالي هاد لل
+
+266
+00:28:57,720 --> 00:29:07,980
+verticesبقوله بسيطة، the vertices are بنجي على ال
+
+267
+00:29:07,980 --> 00:29:12,680
+center اللي هو الاتنين هل اتنين هذه صار فيها
+
+268
+00:29:12,680 --> 00:29:18,440
+تغيير؟ لأ، يبقى التغيير في من؟ في المركبة التانية،
+
+269
+00:29:18,440 --> 00:29:25,400
+يبقى سالب واحدبنضيف لها مقدار
+
+270
+00:29:25,400 --> 00:29:32,020
+الـ A قداش الـ A عند الـ A بثلاثة يبقى زائد او
+
+271
+00:29:32,020 --> 00:29:36,980
+ناقص اللي هو التلاتة بالشكل اللي عندنا هنا يبقى
+
+272
+00:29:36,980 --> 00:29:43,740
+هذه تساوي اتنين ناقص تلاتة او زائد تلاتة اللي هو
+
+273
+00:29:43,740 --> 00:29:53,530
+بقداش اتنين and اتنين وسالف اربعيبقى هذه اتنين و
+
+274
+00:29:53,530 --> 00:30:00,830
+سالب اربع وهذه اتنين و اتنين ال vertex الاخرى حد
+
+275
+00:30:00,830 --> 00:30:08,590
+اللي هو يتساوي هنا؟ ننتقل الان الى النقطة الثالثة
+
+276
+00:30:08,590 --> 00:30:14,350
+من هذا ال section وهي القطع المخروط الثالث اللي هو
+
+277
+00:30:14,350 --> 00:30:20,500
+القطع الزائدالقطع الزائد اللي هو الـ hyperabula
+
+278
+00:30:20,500 --> 00:30:23,860
+يبقى
+
+279
+00:30:23,860 --> 00:30:33,160
+التالت اللي هو ال hyperabula القطع الزائد شكل
+
+280
+00:30:33,160 --> 00:30:39,760
+القطع الزائد على الشكل التالي هي المحاور هذا محور
+
+281
+00:30:39,760 --> 00:30:48,650
+X هذا محور Y هذا Zالقطع الزائد شكله زي القطع
+
+282
+00:30:48,650 --> 00:30:53,210
+المكافئ بس اتنين زعلانين مع بعض كل واحد موجهه على
+
+283
+00:30:53,210 --> 00:31:00,890
+شجة يبقى هذا الجوس الأول وهذا القطع المكافئ التاني
+
+284
+00:31:00,890 --> 00:31:04,730
+اللي هو الجوس التاني من الناحية التانية على نفس
+
+285
+00:31:04,730 --> 00:31:11,910
+البط هذا بسميه ال center يبقى هذا بسميه ال center
+
+286
+00:31:13,020 --> 00:31:19,080
+المركز هذه بسميها ال vertex وهذه ال vertex التانية
+
+287
+00:31:19,080 --> 00:31:23,600
+زي ما كانت هناك ال vertex a و 0 في حالة ال ellipse
+
+288
+00:31:23,600 --> 00:31:36,270
+برضه هذه a و 0 وهذه سالب a و 0بكل قطع مكافئ له
+
+289
+00:31:36,270 --> 00:31:42,510
+بُقرة يبجى هذه بتعصير عندنا البُقرة الأولى وهذه
+
+290
+00:31:42,510 --> 00:31:48,270
+البُقرة الثانية ال focus هذه اليحداتي تبعها C و
+
+291
+00:31:48,270 --> 00:31:54,130
+Zero ال focus هذه سالب C و Zero بالشكل اللي عندنا
+
+292
+00:31:54,130 --> 00:32:00,170
+هذا يبجى عرفت ال A و ال C السؤال هو أين ال B؟
+
+293
+00:32:00,320 --> 00:32:07,160
+المعادلة تبعته هي X تربية على A تربية نقص Y تربية
+
+294
+00:32:07,160 --> 00:32:14,000
+على B تربية تساوي واحد والمعادلة
+
+295
+00:32:14,000 --> 00:32:20,240
+المرافقة هي B يسوى الجذر التربية إلى C تربية ناقص
+
+296
+00:32:20,240 --> 00:32:24,920
+A تربية في حالة اللي اللي مش كان العكس A تربية
+
+297
+00:32:24,920 --> 00:32:31,630
+ناقص C تربية لأنه A أكبر من Cبس هنا الـC أكبر من
+
+298
+00:32:31,630 --> 00:32:37,990
+مين؟ من الـA ومن هنا قلنا C تربية ناقص A تربية
+
+299
+00:32:37,990 --> 00:32:44,730
+بالشكل اللي قدامك هذا طيب السؤال هو وين الـB؟ الـC
+
+300
+00:32:44,730 --> 00:32:49,070
+موجودة بس الـB مش شايفينها بقولك بصيفة جدا، في
+
+301
+00:32:49,070 --> 00:32:55,010
+عندنا شغلة جديدة اسمها الـasymptotes خطوط التقارب
+
+302
+00:32:55,010 --> 00:33:01,170
+بالنسبة للـhyperbolaشو خطوط التقارب؟ خط التقارب خط
+
+303
+00:33:01,170 --> 00:33:08,430
+يمر بنقطة الأصل وياكاد يمس المنحنة من وين؟ من
+
+304
+00:33:08,430 --> 00:33:14,790
+الناحيتين، بالشكل اللي عندنا هذا، تمام؟ يبقى هذا
+
+305
+00:33:14,790 --> 00:33:19,730
+المنحنة بظل صحبه وياه ماشيين مع بعض بجسده
+
+306
+00:33:24,570 --> 00:33:31,770
+بنجي لخط التقارب التاني بنفس الطريقة الملتقة عند
+
+307
+00:33:31,770 --> 00:33:39,010
+نقطة الأصل بهذا الشكل طيب ماشي يبقى هذا اسمه
+
+308
+00:33:39,010 --> 00:33:42,830
+asymptote
+
+309
+00:33:42,830 --> 00:33:51,300
+خط تقارب وهذا كمان اسمه asymptoteطيب يا عزيزي،
+
+310
+00:33:51,300 --> 00:33:56,960
+الان نبحث عن الـP، ما هي شكل الـP؟ بتقولك بسيطة،
+
+311
+00:33:56,960 --> 00:34:04,220
+تجي عند الرأس هذا و بترسم مماز يمس المنحنة و يقطع
+
+312
+00:34:04,220 --> 00:34:08,870
+الـtwo asymptotesوبتيجي عند الرأس التاني وبترسم
+
+313
+00:34:08,870 --> 00:34:15,930
+مماث يقطع المنحنة ويمس المنحنة ويقطع ال symptoms
+
+314
+00:34:15,930 --> 00:34:21,630
+بتيجي بتوصل ما بين الاتنين، بتكون عندك main
+
+315
+00:34:21,630 --> 00:34:29,690
+مستطيلةمصفيل أحد الأبعاد هذا كده المسافة هذه اه
+
+316
+00:34:29,690 --> 00:34:34,770
+والتانية اه المسافة هذه بي يفجأ هذه اللي هي بي
+
+317
+00:34:34,770 --> 00:34:40,250
+وهذه التانية اللي هي مين بي يعرفنا موقع بي اللي هو
+
+318
+00:34:40,250 --> 00:34:47,380
+اتنين بي اتدلق الاخرللمستطيل يبقى A المسافة من هنا
+
+319
+00:34:47,380 --> 00:34:52,480
+لهنا B المسافة من هنا لهنا C المسافة من النقطة هذه
+
+320
+00:34:52,480 --> 00:34:57,000
+لغاية مين لغاية البقرة اللي عنانا يبقى عرفنا شكل
+
+321
+00:34:57,000 --> 00:35:03,480
+ال A وشكل ال B وشكل ال C و ال asymptotes كمان طب
+
+322
+00:35:03,480 --> 00:35:10,500
+مش هذه خطوط مستقيمة؟فعلا؟ إذا الها معادلة، بدي
+
+323
+00:35:10,500 --> 00:35:15,300
+أعرف ما هو شكل معادل ال symptoms.بنقول لك بسيطة
+
+324
+00:35:15,300 --> 00:35:26,320
+جدا، يبقى هنا to get the symptoms right
+
+325
+00:35:26,320 --> 00:35:32,830
+أكتربتجي على المعادلة X تربيع على A تربيع ناقص Y
+
+326
+00:35:32,830 --> 00:35:38,110
+تربيع على B تربيع تسوى Zero يعني شيل الواحد و حط
+
+327
+00:35:38,110 --> 00:35:43,690
+مكانه موجدهاش Zero تعالى نحل المعادلة هذه يبقى Y
+
+328
+00:35:43,690 --> 00:35:50,120
+تربيع يسوى B تربيع على A تربيع في ال X تربيعخُد
+
+329
+00:35:50,120 --> 00:35:56,840
+الجذر التربيعي للطرفين يبقى Y يسوى ز أو ناقص B على
+
+330
+00:35:56,840 --> 00:36:04,900
+A في ال X يبقى الاسمتتة الأول هذا Y يسوى B على A
+
+331
+00:36:04,900 --> 00:36:10,500
+في ال X والاسمتتة التانية Y تسوى سالب B على A في
+
+332
+00:36:10,500 --> 00:36:16,820
+ال Xطبعا ربما يسأل بعضكم السؤال التالي، ليه أخدت
+
+333
+00:36:16,820 --> 00:36:21,500
+هذا الاسم تت بالموجب و هذا بالسالب؟ أقول لهم
+
+334
+00:36:21,500 --> 00:36:26,720
+بسيطة، تطلع للمال، هل المال موجب و الله سالب؟ هذا
+
+335
+00:36:26,720 --> 00:36:31,400
+الاسم تت فيعمل ليه زاوية حادة مع الاتجاه الموجب؟
+
+336
+00:36:31,440 --> 00:36:36,820
+للـ X Axis، غُل الزاوية الحدد يساوي قيمة موجبة،
+
+337
+00:36:36,820 --> 00:36:41,040
+هذا الـ X Axis التاني بيعملي الزاوية منفرجة، غُل
+
+338
+00:36:41,040 --> 00:36:46,100
+الزاوية المنفرجة بيعطيني إشارة مين؟ إشارة سالب،
+
+339
+00:36:46,100 --> 00:36:50,990
+يبقى هذا كل ما يتعلق بالـ hyperbola الأولىلو كان
+
+340
+00:36:50,990 --> 00:36:56,830
+ال major axis أوي هنسميه ال focal axis هو محور X
+
+341
+00:36:56,830 --> 00:37:02,850
+يبقى هذا اللي اسمه ال focal axis اللي هو محور
+
+342
+00:37:02,850 --> 00:37:10,390
+القطبي ليش المحور قطبي لأنه مرة بالبقرتين يا بسميه
+
+343
+00:37:10,390 --> 00:37:15,860
+focal axis يا بسميه ال major axisوهذا التاني بسميه
+
+344
+00:37:15,860 --> 00:37:20,860
+ال minor axis اللي هو المحور الثاني طب لو كانت
+
+345
+00:37:20,860 --> 00:37:27,160
+الرسمة على محور Y يعني لو صارت الرسمة بالشكل هذا
+
+346
+00:37:27,160 --> 00:37:34,780
+هيك وده رسمنا المنحنة فصار بالشكل هذا والنصف
+
+347
+00:37:34,780 --> 00:37:41,110
+التاني بالشكل اللي عندنا هذا هيكتمام؟ هذا محور X
+
+348
+00:37:41,110 --> 00:37:48,430
+هذا محور Y المعادلة بسيطة جدا الإشارة الموجبة لل X
+
+349
+00:37:48,430 --> 00:37:54,310
+فكان فوق ال X محور X لو خلتي الإشارة الموجبة ل Y
+
+350
+00:37:54,310 --> 00:38:03,000
+بصير Y تربيع على E تربيعنقص X تربية على B تربية
+
+351
+00:38:03,000 --> 00:38:10,500
+السامة واحد والمعادلة المرافقة زي ما هي لن تتغير
+
+352
+00:38:11,490 --> 00:38:16,290
+تمام؟ كويس، يبقى بيبقى نيجي لمين؟ للاسم ده، يبقى
+
+353
+00:38:16,290 --> 00:38:21,490
+الفرق ما بين ال high parabola و ال ellipse، ال
+
+354
+00:38:21,490 --> 00:38:25,550
+ellipse بطل على صاحب المقام الكبير، لكن ال high
+
+355
+00:38:25,550 --> 00:38:30,730
+parabola بطل على صاحب الإشارة الموجبة، قولها
+
+356
+00:38:30,730 --> 00:38:35,800
+السؤال اللي زنجك هذاخلاص ما يبقى أجابنا والحمد لله
+
+357
+00:38:35,800 --> 00:38:41,300
+يبقى ان هاي طرابولة بينا نفرق بينهم باطل على صاحب
+
+358
+00:38:41,300 --> 00:38:45,640
+الإشارة صاحب الإشارة الموجبة بيكون هو ال major
+
+359
+00:38:45,640 --> 00:38:49,440
+axis X بإشارة موجبة يبقى ال major axis او ال focal
+
+360
+00:38:49,440 --> 00:38:54,400
+axis هو محور X هنا ال focal axis هو محور Y طب
+
+361
+00:38:54,400 --> 00:38:58,240
+بيبقى اطل على ال asymptotes يبقى ال asymptotes
+
+362
+00:38:58,240 --> 00:39:05,220
+بيجي خاط شكل اللي عندك كده هيكوهنا بده يجيلك الخط
+
+363
+00:39:05,220 --> 00:39:10,700
+من الناحية التانية بهذا الشكل ويظل نازل يبقى هذا
+
+364
+00:39:10,700 --> 00:39:15,620
+بده يجي ماشي معاه بشكل هذا ايه؟ او هذا بده ينزل
+
+365
+00:39:15,620 --> 00:39:23,740
+معاه بالشكل هذا تمام؟يبقى لو كمان بدي أشوف شكل ال
+
+366
+00:39:23,740 --> 00:39:30,620
+B من هنا بروح برسم مماس و من هنا بروح برسم مماس و
+
+367
+00:39:30,620 --> 00:39:41,380
+بوصل بين نقاط التقاطة بيصير هذه A وهذه B تمام؟ لأن
+
+368
+00:39:41,380 --> 00:39:49,440
+هذه النقطة هي Zero و A وهذه النقطة Zero و سالب A
+
+369
+00:39:51,390 --> 00:39:57,850
+الـ C يجيلك البقرة هنا يبقى هذه Zero والـ C و
+
+370
+00:39:57,850 --> 00:40:03,530
+البقرة هذه Zero و سالب C بالشكل اللي عندنا فلو
+
+371
+00:40:03,530 --> 00:40:09,690
+بدنا asymptotes فبجي بقوله they asymptotes
+
+372
+00:40:12,260 --> 00:40:19,060
+الـ Y تساوي زادة او نقص هنا ايش كانت؟ B على A في X
+
+373
+00:40:19,060 --> 00:40:25,800
+هنا A على B في X بدي احصل عليها من وين؟ بشيل
+
+374
+00:40:25,800 --> 00:40:31,960
+الواحد و بحط Zero بصير Y تساوي A تربيه على B تربيه
+
+375
+00:40:31,960 --> 00:40:35,220
+في X وخد الجذر التربيه اللي في الطرفين بتحصل على
+
+376
+00:40:35,220 --> 00:40:41,210
+مين؟ على اديبقى لنا اخر نقطة اللي هو لو عملنا له
+
+377
+00:40:41,210 --> 00:40:50,670
+shift يبقى باقي بقوله لو كان if the center is h و
+
+378
+00:40:50,670 --> 00:40:56,490
+k المعاملة تصبح على الشكل هذا x مقص h الكل تربيع
+
+379
+00:40:56,490 --> 00:41:02,570
+على a تربيع y نقص k الكل تربيع على b تربيع يساوي
+
+380
+00:41:02,570 --> 00:41:08,070
+واحد صحيحطب لو كانت هذه عندي المعادلة و بدّي الـ
+
+381
+00:41:08,070 --> 00:41:14,510
+asymptotes هاخد هذه ولا هذيك؟ ماجولي ولا هذه ولا
+
+382
+00:41:14,510 --> 00:41:22,950
+هذه؟ شيل الواحد وحط zero واتلي Y ماقص K تساوي كدهش
+
+383
+00:41:22,950 --> 00:41:27,070
+بدلالة X ماقص اللي هتش بتكون حصلت على ال
+
+384
+00:41:27,070 --> 00:41:33,430
+asymptotes كما ستراه من بعض الأمثلة بعد قليل
+
+385
+00:41:42,180 --> 00:41:54,180
+نجي الأول مثال على هذا الموضوع يبقى examples أول
+
+386
+00:41:54,180 --> 00:42:01,580
+مثال بيقول ما ياتي sketch دي هي Parabola sketch دي
+
+387
+00:42:01,580 --> 00:42:11,850
+هي Parabolaعلى الشكل التالي لتسعة X تربيع ناقص
+
+388
+00:42:11,850 --> 00:42:20,770
+ستاشر Y تربيع تساوي مية واربعة واربعين وبعد ذلك
+
+389
+00:42:20,770 --> 00:42:28,910
+find the vertices فكاي
+
+390
+00:42:28,910 --> 00:42:35,090
+البقرتين and asymptotes
+
+391
+00:42:44,250 --> 00:42:48,210
+أول شي بيحط المعلق في ال standard form يعني شو
+
+392
+00:42:48,210 --> 00:42:54,850
+نعمله؟نقسم على 144 يبقى لو قسمنا بالصير X تربيه
+
+393
+00:42:54,850 --> 00:43:02,270
+على 16 مقص Y تربيه على 9 يساوي كدهش؟ واحد يبقى
+
+394
+00:43:02,270 --> 00:43:09,730
+عندنا هنا ال A تساوي أربعة وال B تساوي كدهش؟ تلاتة
+
+395
+00:43:09,730 --> 00:43:16,520
+بالمرة أشرعك نجيب ال C؟الجذر التربية له تربية زائد
+
+396
+00:43:16,520 --> 00:43:21,960
+بيه تربية، يعني اللي هو الجذر التربية لمين؟ إيه
+
+397
+00:43:21,960 --> 00:43:27,980
+التربية بصت عشر، وهذا تسعة، خمسة وعشرين، يبقى
+
+398
+00:43:27,980 --> 00:43:33,320
+عندنا جداش خمسةواضح ان الرسمة هذه ال major axis هو
+
+399
+00:43:33,320 --> 00:43:39,360
+محور X لأنه بالموجة يبقى لو رسمنا الرسمة نقول هي
+
+400
+00:43:39,360 --> 00:43:46,660
+المحاور هذا محور X هذا محور Y هذا نقطة الأصل هذا
+
+401
+00:43:46,660 --> 00:43:52,700
+الجزء الأول وهذا هو الجزء الثاني من ال high
+
+402
+00:43:52,700 --> 00:43:59,330
+parabola اللي عندنا تمام التمامهذه هي رسمة الرسم
+
+403
+00:43:59,330 --> 00:44:03,970
+الأول قال لي هاتلي ال vertices ال a عندي بيبقى
+
+404
+00:44:03,970 --> 00:44:12,830
+داشر يبقى بقوله the vertices are اللي هم مين زائد
+
+405
+00:44:12,830 --> 00:44:19,550
+او ناقص اربعة وزيره يبقى ال vertex هذه اربعة وزيره
+
+406
+00:44:19,550 --> 00:44:28,490
+وهذه سالب اربعةزيرو تانية لسالب أربعة وزيرو
+
+407
+00:44:28,490 --> 00:44:32,410
+لفورتكس التانية بعد الفورتكسيز قال لي هاتلي
+
+408
+00:44:32,410 --> 00:44:40,860
+الفوكاي او JTC فبدي بقوله ليه فوكايار اللي همين
+
+409
+00:44:40,860 --> 00:44:49,860
+زائد او ناقص خمسة وزيرو يبقى هذه هنا خمسة وزيرو
+
+410
+00:44:49,860 --> 00:44:56,780
+وهذه هنا سالب خمسة وزيرو جالي ياخلي ال asymptotes
+
+411
+00:44:56,780 --> 00:45:02,940
+فبعدي بقولك كمان هنا the asymptotes
+
+412
+00:45:05,230 --> 00:45:12,950
+الـ Y تساوي الزائد واناقص بي على ايه؟ جبتش الـ B
+
+413
+00:45:12,950 --> 00:45:19,830
+عندي؟ يبقى تلاتة على أربعة يبقى تلاتة على أربعة X
+
+414
+00:45:19,830 --> 00:45:25,870
+يبقى جبتله ال asymptotes وانتهينا من السؤال لو
+
+415
+00:45:25,870 --> 00:45:32,400
+جاني أرسمهميبقى بدك تيجي تقولي هذا هيك أو تيجي
+
+416
+00:45:32,400 --> 00:45:37,020
+تقوله هذا ال asymptotes الأول و هذا ال asymptotes
+
+417
+00:45:37,020 --> 00:45:43,980
+من أتان فبالمثال رقم اتنين بيقولي find the
+
+418
+00:45:43,980 --> 00:45:54,840
+equation find the equation of the hyperbola
+
+419
+00:46:04,570 --> 00:46:12,610
+أو نقص تمانية and asymptotes
+
+420
+00:46:14,770 --> 00:46:22,970
+والسمتتز الهمين Y تساوي زيد أو ناقص أربعة على
+
+421
+00:46:22,970 --> 00:46:24,330
+تلاتة X
+
+422
+00:46:59,450 --> 00:47:02,730
+قال لي هاتلي محاط اللي هاي ال parabola ميعطيني ال
+
+423
+00:47:02,730 --> 00:47:09,250
+vertices معموله shift ولو ما هوش معموله shiftتمام
+
+424
+00:47:09,250 --> 00:47:17,790
+تمام بلاش هذا الرسمة بتبعتنا يبقى هذا X و هذا Y 0
+
+425
+00:47:17,790 --> 00:47:25,860
+8 يبقى متجيلك هنا 0 8 مثلازيرو سالب تمانية يبقى
+
+426
+00:47:25,860 --> 00:47:30,740
+هاد زيرو سالب تمانية هاد ال vertex اذا بدي يكون
+
+427
+00:47:30,740 --> 00:47:35,000
+بالشكل هذا و هاد ال vertex التاني بدي يكون بالشكل
+
+428
+00:47:35,000 --> 00:47:41,600
+التاني يبقى هاد زيرو تمانية و هاد زيرو سالب تمانية
+
+429
+00:47:42,200 --> 00:47:46,680
+جاليا الـ Symptotes اللي على الشكل اللي عندنا هذا
+
+430
+00:47:46,680 --> 00:47:51,900
+تمام يبقى automatic بقول له هذه على الشكل التاني
+
+431
+00:47:51,900 --> 00:48:00,920
+اليمين A على B إذا A تسوى أربعة وB تسوى تلاتة صح؟
+
+432
+00:48:00,920 --> 00:48:04,580
+A تسوى أربعة وB تسوى تلاتة بصبح؟
+
+433
+00:48:07,230 --> 00:48:11,250
+يعني كلامه مش صحيح، طب هذا كلام عمره ما كان صحيح
+
+434
+00:48:11,250 --> 00:48:15,490
+للاربعة، هذه نسبة بعد ما دسمت صارت بالشكل اللي
+
+435
+00:48:15,490 --> 00:48:22,430
+عندنا هذا، تمام؟ يعني قد تكون تمانية على ستةيبقى
+
+436
+00:48:22,430 --> 00:48:27,150
+بالشكل ان هذا يبقى ومن هنا من جثة ل A باربعة وB
+
+437
+00:48:27,150 --> 00:48:31,490
+بتلاتة بقولك تاخد عليها Zero لكن قد يحدث ممكن تكون
+
+438
+00:48:31,490 --> 00:48:38,150
+صحيحة لكن الحقيقة ماهياش صحية بقوله solution بدأت
+
+439
+00:48:38,150 --> 00:48:45,180
+أقوله الآن ال A على B بده يسوى أربعة على ثلاثةمعنى
+
+440
+00:48:45,180 --> 00:48:52,440
+هذا الكلام إنه تلاتة A بده يساوي مين؟ أربعة B طب
+
+441
+00:48:52,440 --> 00:48:58,420
+احنا عندنا ال A قداش تساوي تمانية وعندنا ال A
+
+442
+00:48:58,420 --> 00:49:05,600
+تساوي تمانية إذا أصار عندنا تلاتة في تمانية يساوي
+
+443
+00:49:05,600 --> 00:49:10,920
+أربعة B ومنها B تساوي ستة
+
+444
+00:49:13,120 --> 00:49:17,160
+يبقى صارت A معروفة وB معروفة، وإيش قال لي؟ قال لي
+
+445
+00:49:17,160 --> 00:49:22,260
+بدي المعادلة، بقدر أكتب له المعادلة مباشرة، يبقى
+
+446
+00:49:22,260 --> 00:49:28,140
+المعادلة هذه Y تربية على A تربية ناقص X تربية على
+
+447
+00:49:28,140 --> 00:49:33,130
+B تربية يساوي واحدليش بالشكل هذا؟ لأن ال major
+
+448
+00:49:33,130 --> 00:49:38,790
+axis او الفوك ال axis هو محور Y يبقى بصيرة ان Y
+
+449
+00:49:38,790 --> 00:49:45,970
+تربيه على ال A طلعناها ب8 يبقى ليه ب64 ناقص X
+
+450
+00:49:45,970 --> 00:49:52,450
+تربيه على B ليه ب36 يساوي 1 يبقى هذه معاجلة مين؟
+
+451
+00:49:53,560 --> 00:49:56,780
+معادلة الـ hyperabula اللى عندنا اللى هو طلبها
+
+452
+00:49:56,780 --> 00:50:00,820
+يبقى المعادلة الـ hyperabula بلقى اننا باسمين و
+
+453
+00:50:00,820 --> 00:50:07,160
+بورتين بلزمنا C هوجبنا C؟ ماوجبناش C يبقى بدنا
+
+454
+00:50:07,160 --> 00:50:12,520
+نروح نوجد C دى الجدر التربية اللى A تربية زايد B
+
+455
+00:50:12,520 --> 00:50:18,780
+تربية يبقى ال A اللى يبقى اربعة و ستين و هذه ستة و
+
+456
+00:50:18,780 --> 00:50:24,810
+تلاتين يسوى مان؟يساوي عشرة يبقى بروح بقول له هذا
+
+457
+00:50:24,810 --> 00:50:31,030
+بدي يعطينا zero زي
+
+458
+00:50:31,030 --> 00:50:36,950
+ما هو مظبوط و البقرة تانية بصير زائد او لاقص عشرة
+
+459
+00:50:36,950 --> 00:50:44,190
+يبقى البقرة الأولى zero و عشرة و البقرة التانية
+
+460
+00:50:44,190 --> 00:50:52,020
+zero و سالب عشرةالمثال الثالث والاخير في هذا ال
+
+461
+00:50:52,020 --> 00:51:03,120
+section رقم تلاتة بيقول find the center find the
+
+462
+00:51:03,120 --> 00:51:15,580
+center و البقرتين و ال vertices الرأسين and ال
+
+463
+00:51:15,580 --> 00:51:17,660
+asymptotes
+
+464
+00:51:28,850 --> 00:51:36,810
+مطال الشكل التالي خمسة و عشرين X تربيع ناقص تسعة Y
+
+465
+00:51:36,810 --> 00:51:40,670
+تربيع ناقص مية X
+
+466
+00:51:46,540 --> 00:51:56,440
+-206 يساوي 0 يبقى
+
+467
+00:51:56,440 --> 00:52:01,660
+هذا السؤال شبيه بمين شبيه بسؤال ال ellipse اللي
+
+468
+00:52:01,660 --> 00:52:07,480
+قبل قليل يبقى عملية اكمال المربع نفس التكتيك هذه X
+
+469
+00:52:07,480 --> 00:52:15,350
+تربيع وهذه X تربيع يبقى 25 في X تربيع ناقص 4نقص
+
+470
+00:52:15,350 --> 00:52:22,950
+اربع ياش نقص اربع اكس الباقي ناقص وعندك هنا التسعة
+
+471
+00:52:22,950 --> 00:52:30,790
+في وي تربية ناقص ستة وي ساوي متين وستةبنعمل اكمال
+
+472
+00:52:30,790 --> 00:52:36,270
+المربع يبقى هذا بيصير اللي هو خمسة وعشرين في ال X
+
+473
+00:52:36,270 --> 00:52:43,910
+تربية ناقص اربعة X زائد اربعة وهذا ناقص تسعة في Y
+
+474
+00:52:43,910 --> 00:52:51,470
+تربية ناقص ستة Y زائد تسعة كله يساوي متين وستة
+
+475
+00:52:54,080 --> 00:53:00,380
+يبقى يجب ان نعرف ايش نريد ان نعمل في الجزر اللي
+
+476
+00:53:00,380 --> 00:53:04,960
+عندنا يبقى اذا اضافنا جدار مية فانت تروح و تضيف في
+
+477
+00:53:04,960 --> 00:53:08,760
+الناحية يبقى زي ما اضافنا مية على الشمال فانت تروح
+
+478
+00:53:08,760 --> 00:53:13,980
+و تضيف مية على اليمين بعدك تسعة فتسعة بواحد و
+
+479
+00:53:13,980 --> 00:53:19,970
+تمانين بس بالسالب يبقى سالب واحد و تمانينيفجأة دي
+
+480
+00:53:19,970 --> 00:53:26,090
+بيصير خمسة و عشرين X ناقص اتنين لكل تربية ناقص
+
+481
+00:53:26,090 --> 00:53:32,530
+تسعة Y ناقص تلاتة لكل تربية يسوى متين و خمسة و
+
+482
+00:53:32,530 --> 00:53:41,240
+عشريننجسم على 225 بصير ال X ناقص اتنين الكل تربيع
+
+483
+00:53:41,240 --> 00:53:46,600
+على تسعة ناقص Y ناقص تلاتة الكل تربيع على خمسة
+
+484
+00:53:46,600 --> 00:53:52,740
+وعشرين يسوى جداش يسوى واحداذا انا حطيت المعالج
+
+485
+00:53:52,740 --> 00:53:58,580
+الاصلي على شكل جديد هذا الشكل الجديد استفدت منه
+
+486
+00:53:58,580 --> 00:54:07,520
+انه ال center H وK بده يعطينا جداش اتنين او تلاتة
+
+487
+00:54:07,520 --> 00:54:11,940
+يبقى جبت له المطلوب الاول هو ال center جاليه اتلي
+
+488
+00:54:11,940 --> 00:54:18,260
+الفكال يبقى عندنا A تساوي تلاتة وB تساوي خمسة بقدر
+
+489
+00:54:18,260 --> 00:54:25,220
+اوجد له ال Cاللي هو تسعة زائد خمسة و عشرين يبقى
+
+490
+00:54:25,220 --> 00:54:31,120
+جدر من جدر الأربعة و كالتين بدنا نروح نوصل من
+
+491
+00:54:31,120 --> 00:54:36,600
+الرسم هذه حتى نحدد باقى المعلومات اللى عندنا
+
+492
+00:54:47,180 --> 00:54:48,580
+Fail
+
+493
+00:54:56,120 --> 00:55:01,080
+فاني بقى كدا يبقى احنا عندنا ال center قداش اتنين
+
+494
+00:55:01,080 --> 00:55:06,380
+و تلاتة يبقى لو روحت رسمت المحاور بالشكل هذا هذا
+
+495
+00:55:06,380 --> 00:55:11,840
+محور X هذا محور Y ده اتحرك هنا اتنين و اطلع هنا
+
+496
+00:55:11,840 --> 00:55:18,340
+تلاتة يبقى النقطة هذه اتنين و تلاتة وبالتالي
+
+497
+00:55:18,340 --> 00:55:23,600
+المنحنة هياخد الشكل التالت الرقم الكبير تحت مين؟
+
+498
+00:55:24,170 --> 00:55:31,630
+تحت Y يبقى ال major axis هو محور Y الإشارة
+
+499
+00:55:31,630 --> 00:55:36,170
+صحيح الإشارة محور X يبقى هو محور X صحيح يبقى هيك
+
+500
+00:55:36,170 --> 00:55:40,890
+تصير بالشكل هنا وهذا من ناحية التانية بالشكل هذا
+
+501
+00:55:41,750 --> 00:55:46,890
+طيب، الان بقدر أجيبله ال vertices يبقى باجي بيقول
+
+502
+00:55:46,890 --> 00:55:55,730
+له the vertices are فليه بدأ كده ال H هي اتنين
+
+503
+00:55:55,730 --> 00:56:01,950
+الأولى مين؟ هذه اتنينيبقى بداخلها مقدار الـA
+
+504
+00:56:01,950 --> 00:56:05,970
+بالزائد والنقص، الـA عنده يبقى الداشر، الـA
+
+505
+00:56:05,970 --> 00:56:11,510
+بالثلاثة يبقى الزائد أو ناقص ثلاثة، والرأسي لم
+
+506
+00:56:11,510 --> 00:56:16,680
+يتغير اللي هو من اللي هو الثلاثةيبقى بهادي بدها
+
+507
+00:56:16,680 --> 00:56:24,300
+الساوية اما خمسة و تلاتة and التانية ناقص واحد و
+
+508
+00:56:24,300 --> 00:56:30,760
+تلاتة يبقى هذه هنا ناقص واحد و تلاتة وهذه هنا اللي
+
+509
+00:56:30,760 --> 00:56:35,840
+هي main خمسة و تلاتة يبقى خلاصة من ال main من ال
+
+510
+00:56:35,840 --> 00:56:42,200
+center و ال vertices بدنا نيجي للفقاي يبقى ذي فقاي
+
+511
+00:56:42,550 --> 00:56:49,390
+ر اتنين زيد او ناقص جدر الاربعة وتلاتين و تلاتة
+
+512
+00:56:49,390 --> 00:56:55,690
+ماتغيرتش خلصناها مين بلعناها بس ال asymptote يبقى
+
+513
+00:56:55,690 --> 00:57:02,250
+two to get او مش هنجيب ال asymptote ايش بدي اعمل؟
+
+514
+00:57:02,250 --> 00:57:09,740
+بدي اقول X ناقص اتنين لكل تربية على تسعةبدي يساوي
+
+515
+00:57:09,740 --> 00:57:16,820
+من؟ بدي يساوي أو ناقص ال Y ناقص تلاتة لكل تربية
+
+516
+00:57:16,820 --> 00:57:23,360
+على خمسة وعشرين بدي يساوي Zero ومنها Y ناقص تلاتة
+
+517
+00:57:23,360 --> 00:57:29,840
+لكل تربية يساوي خمسة وعشرين على تسعة X ناقص اتنين
+
+518
+00:57:29,840 --> 00:57:35,840
+لكل تربية يبقى Y ناقص تلاتة تساوي زاد أو ناقصخمسة
+
+519
+00:57:35,840 --> 00:57:42,180
+ع تلاتة X ناقص اتنين هذا هي ال symptoms بروح
+
+520
+00:57:42,180 --> 00:57:51,560
+للمسائل exercises exercises احداشر ستة من واحد
+
+521
+00:57:51,560 --> 00:57:56,400
+لتمانية وستين multiple of three
+
+522
+00:58:02,980 --> 00:58:08,580
+بكرا ان شاء الله بنبدأ اخر section اللي هو 11-7
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/hoXMX1NN0Hg_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/hoXMX1NN0Hg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..44e5216204ec08c5687a8b4ff1bf9f333980c708
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/hoXMX1NN0Hg_postprocess.srt
@@ -0,0 +1,1992 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:11,900 --> 00:00:16,980
+بسم الله الرحمن الرحيم هبنبدأ الآن في section عشرة
+
+3
+00:00:16,980 --> 00:00:22,040
+تمانية اللى بتحدث عن taylor and mclaren series
+
+4
+00:00:22,040 --> 00:00:28,320
+taylor او بعض الناس بتقول taylor taylor series او
+
+5
+00:00:28,320 --> 00:00:33,940
+taylor series التانى mclaren series اللى عندها
+
+6
+00:00:33,940 --> 00:00:38,840
+اللى على اي حالة taylor اسم انسان وكذلك اللى هو
+
+7
+00:00:38,840 --> 00:00:44,850
+mclaren اسم انسان اخرطبعا الاتنين مربطين ببعض بما
+
+8
+00:00:44,850 --> 00:00:50,610
+في المفروقة المفكوكة الاتنين مربطين ببعض كما سنرى
+
+9
+00:00:50,610 --> 00:00:55,110
+بعد قليل في ال section الماضي الشطرة الثانية من ال
+
+10
+00:00:55,110 --> 00:00:59,290
+section الماضي اتكلمنا عن ال differentiation term
+
+11
+00:00:59,290 --> 00:01:05,130
+by term كنشتق term by term وقلنا ان ال functions
+
+12
+00:01:05,130 --> 00:01:10,550
+بقدر احطها على شكل seriesأو العكس سيريز بقدر أحطه
+
+13
+00:01:10,550 --> 00:01:15,050
+على شكل function في هذا ال section سنحاول أن نضع
+
+14
+00:01:15,050 --> 00:01:22,990
+ال functions المختلفة على شكل power series تمام بد
+
+15
+00:01:22,990 --> 00:01:28,470
+الفكرة يبقى الفكرة كالتالي في عندنا definition ال
+
+16
+00:01:28,470 --> 00:01:33,710
+definition الأول بيقول little f be a function with
+
+17
+00:01:33,710 --> 00:01:39,120
+derivatives of all ordersهي عندى مشتقات من جميع
+
+18
+00:01:39,120 --> 00:01:42,260
+الرطب، إيش يعنى؟ يعني المشتقة الأولى موجودة
+
+19
+00:01:42,260 --> 00:01:45,440
+والتانية والتالتة والرابعة والمية والألف والمليون
+
+20
+00:01:45,440 --> 00:01:51,620
+إلى ما شاء الله كل المشتقات هذه موجودة exist وين
+
+21
+00:01:51,620 --> 00:01:57,820
+على فترة وهذه الفترة تحتوي النقطة A as an interior
+
+22
+00:01:57,820 --> 00:02:00,980
+point بحيث النقطة دي تبقى نقبة داخلية يعني ليست
+
+23
+00:02:00,980 --> 00:02:03,260
+على الحدود، نقبة في الداخل
+
+24
+00:02:10,670 --> 00:02:15,770
+الفنشن f of x اللي إلها مشتقات من جميع الرتب بقدر
+
+25
+00:02:15,770 --> 00:02:20,170
+أحطها على شكل power series بالشكل اللي قدامنا هذا
+
+26
+00:02:20,170 --> 00:02:24,450
+summation من n equal zero to infinity لتفاضى الرقم
+
+27
+00:02:24,450 --> 00:02:28,770
+n عند ال a ال x ناقص ال a to the power n على n
+
+28
+00:02:28,770 --> 00:02:34,850
+factorialأو لو حطيت ال N بـ 0 يبقى بيعطيني الدالة
+
+29
+00:02:34,850 --> 00:02:41,730
+قبل الاشتقاق هي F of A Zero بواحد، Zero بواحد بعد
+
+30
+00:02:41,730 --> 00:02:46,830
+Zero بيجيني واحد يبقى حط واحد تعني المشتقة الأولى
+
+31
+00:02:46,830 --> 00:02:50,270
+أُس واحد على واحد factorial المشتقة التانية عند ال
+
+32
+00:02:50,270 --> 00:02:53,930
+A في X نقص A تربيه على اتنين factorial المشتقة
+
+33
+00:02:53,930 --> 00:02:57,490
+التالتة X نقص A كل تكريبة على تلاتة فكرة زائد زائد
+
+34
+00:02:57,490 --> 00:03:04,380
+لوقت مناصلإلى الحد إنه يتفضل رقم N عند ال A في ال
+
+35
+00:03:04,380 --> 00:03:07,780
+X ناقص ال A to the power N على N factorial زائد
+
+36
+00:03:07,780 --> 00:03:12,900
+زائد إلى ما شاء الله يبقى هذه ال F عليها N بنجوسين
+
+37
+00:03:12,900 --> 00:03:18,660
+لأ تعني إنه F أُس N وانا مقصود بها من المشتقة أنه
+
+38
+00:03:18,660 --> 00:03:26,020
+يبقى المشتقة رقم N للدالة F محسبة عند النقطة A
+
+39
+00:03:26,020 --> 00:03:34,070
+اللي اتكلمنا عليها هذه فوقهذه اسمها taylor series
+
+40
+00:03:34,070 --> 00:03:41,290
+لو انا وجفت لحد هنا و قلت بدي اخد هذه بس لحد هنا
+
+41
+00:03:43,360 --> 00:03:49,000
+طبعاً، شو اسمها هذه؟ هذه كثيرة حدود صحيح ولا لأ؟
+
+42
+00:03:49,000 --> 00:03:54,760
+يبقى هذه اسمها taylor polynomial كثيرة حدود taylor
+
+43
+00:03:54,760 --> 00:04:04,060
+يبقى هذه اسمها taylor polynomial كثيرة
+
+44
+00:04:04,060 --> 00:04:10,440
+حدود taylor من حط زائد ونقط وضل ماشين يبقى هذه
+
+45
+00:04:10,440 --> 00:04:17,330
+taylor seriesهذه هي الاصل لو جيت على taylor series
+
+46
+00:04:17,330 --> 00:04:22,770
+وشيلت له وحطيت مكانها zero f التي تساوي zero بنحصل
+
+47
+00:04:22,770 --> 00:04:26,830
+على maclaurin series يعني ايش maclaurin series
+
+48
+00:04:26,830 --> 00:04:30,530
+الدالة f of x بقدر اكتبها على ال summation من n
+
+49
+00:04:30,530 --> 00:04:35,430
+equal zero to infinity للتفاضل رقم n عندي ال zero
+
+50
+00:04:35,820 --> 00:04:40,040
+بعد ذلك ال a راحت و لا تبقى الا x to the power n
+
+51
+00:04:40,040 --> 00:04:45,080
+على مين على n factorial يبقى f of zero f prime of
+
+52
+00:04:45,080 --> 00:04:49,260
+zero x على واحد factorial f double prime of zero x
+
+53
+00:04:49,260 --> 00:04:52,600
+تربيه على اتنين factorial نبقى ماشي لغاية التفاضة
+
+54
+00:04:52,600 --> 00:04:56,080
+الرقم n عند zero ل x to the power n على n
+
+55
+00:04:56,080 --> 00:05:01,210
+factorial و بزايد زايد إلى اخرهوبالتالي تمكنت من
+
+56
+00:05:01,210 --> 00:05:07,550
+كتابة ال function على شكل من؟ على شكل series بس مش
+
+57
+00:05:07,550 --> 00:05:11,270
+كل function بقدر أكتبها بالشكل هذا، وإنما ال
+
+58
+00:05:11,270 --> 00:05:16,730
+functions اللي إلها مشتقات من جميع الرتب، لكن بعض
+
+59
+00:05:16,730 --> 00:05:20,430
+ال functions بتكمل بعد مشتقتين، تلاتة، يبقى هذه
+
+60
+00:05:20,430 --> 00:05:23,930
+بيسميها Taylor polynomial وليس Taylor series مثال
+
+61
+00:05:23,930 --> 00:05:29,650
+وذلك، لو قلت لك F of X يسوي X تقعيدأول مرة بضيين
+
+62
+00:05:29,650 --> 00:05:35,250
+ثلاثة X تربيع، ثانية مرة ستة X، تالت مرة ستة الرعب
+
+63
+00:05:35,250 --> 00:05:41,190
+ع Zero، يبقى خلصنا، بخلصت، مظبوط؟ لكن لما يكون إلى
+
+64
+00:05:41,190 --> 00:05:44,270
+مشتقات من جميع الرتب، بتبقى اللي ماشية إلى مالها
+
+65
+00:05:44,270 --> 00:05:48,170
+نهاية، و بتبطل السير Polynomial وإنما بتكون مالها
+
+66
+00:05:48,170 --> 00:05:55,200
+بتكون Seriousمكلورين سيريز هي حالة خاصة من تايلور
+
+67
+00:05:55,200 --> 00:06:02,940
+سيريز تمام لما تبقى a تساوي 0 يبقى في هذا ال
+
+68
+00:06:02,940 --> 00:06:08,520
+section اننا نحاول مضع الدوال التي لها مشتقات من
+
+69
+00:06:08,520 --> 00:06:15,940
+جميع الرتب as a power series طيب تقدر تعطينا دالة
+
+70
+00:06:15,940 --> 00:06:20,530
+اللي لها مشتقات من جميع الرتب بتكملش يعني؟أقول لك
+
+71
+00:06:20,530 --> 00:06:23,970
+خد عن وجهك يا مافي دوال بدي أجيبك من الدوال اللي
+
+72
+00:06:23,970 --> 00:06:33,050
+استخدمتهم ال EOS X صح ولا لأ جوش ال X سنش ال X
+
+73
+00:06:33,050 --> 00:06:42,590
+كوصين ال X صين ال X لن ال X واحدة على X كلها دوال
+
+74
+00:06:42,590 --> 00:06:47,830
+هذه X أص نص كلها مهما تشتقها بتكملش بتبقى
+
+75
+00:06:47,830 --> 00:06:53,360
+المشتقاتها لوينإلى ما لانها يبقى بدل دالة عشر دوال
+
+76
+00:06:53,360 --> 00:06:56,620
+من هذا الدولة بس أخدناهم فيه كالكونصبيه مرضاناش
+
+77
+00:06:56,620 --> 00:07:01,680
+نكتر طبعا في غيرهم كمان كالكونصبيه بس هذا على سبيل
+
+78
+00:07:01,680 --> 00:07:07,000
+المثال تمام؟ إذا هذه الدوال بدي أحاول أجيب أجيب
+
+79
+00:07:07,000 --> 00:07:11,960
+شكلها على شكل power seriesحد اللي له اي تساؤل هي
+
+80
+00:07:11,960 --> 00:07:16,100
+اه طبعا هذه زي ما فيها عنده هنا تايلور polynomial
+
+81
+00:07:16,100 --> 00:07:21,940
+عندنا كمان مكلورين polynomial يعني لو جفت لحد هناك
+
+82
+00:07:21,940 --> 00:07:29,760
+و بس يبقى هذه اسمها من؟ اللي هو تايلور مكلورين
+
+83
+00:07:29,760 --> 00:07:33,220
+polynomial يبقى هذه اسمها مكلورين polynomial
+
+84
+00:07:39,220 --> 00:07:44,860
+كثيرة حدود macro هذا كل جزء النظري اللى موجود وان
+
+85
+00:07:44,860 --> 00:07:49,330
+في ال section اللى بناديناممكن نضيف عليها نبحث في
+
+86
+00:07:49,330 --> 00:07:53,250
+فترة التقارب لل series اللى بتطلع او ما إلى ذلك مش
+
+87
+00:07:53,250 --> 00:07:56,470
+مشكلة ال chapter اللى فات كان كله power series
+
+88
+00:07:56,470 --> 00:08:01,370
+وبعدين نبحث فيه فترة التقارب لل series وكذلك فترة
+
+89
+00:08:01,370 --> 00:08:06,790
+التباعت الان بدنا نعطي بعض الأمثلة وسابدأها بأبسط
+
+90
+00:08:06,790 --> 00:08:13,210
+أنواع الأمثلة اول مثال بقول find the teller series
+
+91
+00:08:22,680 --> 00:08:32,840
+تايلور متسلسل التايلور for the function لدالة
+
+92
+00:08:32,840 --> 00:08:42,460
+f of x بده يساوي e أس x at x يساوي واحد
+
+93
+00:08:47,660 --> 00:08:51,580
+التكتيك اللي عالي تتبعه عند حل السؤال هتروح تتبعه
+
+94
+00:08:51,580 --> 00:08:57,120
+عند حل أي سؤال آخر طبعا وهذا أبسط أنواع الأسئلة
+
+95
+00:08:57,120 --> 00:09:00,060
+فبقول ال solution كانت تالية solution
+
+96
+00:09:02,550 --> 00:09:09,230
+بنبدأ ناخد ال F of X يتساوي E وال6 انا بده احسب ال
+
+97
+00:09:09,230 --> 00:09:14,870
+series هذا وين عند X يساوي واحد اذا بلزمني اعرف
+
+98
+00:09:14,870 --> 00:09:20,680
+قداش ال F of واحديبقى E أس واحد اللي هو بقداش E
+
+99
+00:09:20,680 --> 00:09:26,440
+بعدين بلزمني أعرف من المشتقة F prime يبقى بروح
+
+100
+00:09:26,440 --> 00:09:32,700
+بقوله F prime of X ب E و ال 6 بده ال F prime of 1
+
+101
+00:09:32,700 --> 00:09:37,500
+يساوي E أس واحد اللي هي ب E بده ال F double prime
+
+102
+00:09:37,500 --> 00:09:42,560
+of X يبقى كمان E و ال 6 بدنا ال F double prime of
+
+103
+00:09:42,560 --> 00:09:47,450
+1 يبقى E أس واحد اللي هي بكمان قداش Eطب لو ضليت
+
+104
+00:09:47,450 --> 00:09:52,890
+مستمر هوصل للمشتاق قانونية بالنسبة الـ X كداش؟
+
+105
+00:09:52,890 --> 00:09:57,670
+يوسكس، يوسكس، بدأ أظل هنا نازل لما أوصل للمشتاق
+
+106
+00:09:57,670 --> 00:10:05,010
+قانونية عند الواحد، يبقى يوس واحد اللي هو بإيه؟
+
+107
+00:10:06,250 --> 00:10:11,090
+الحين بدنا نجي ل تايلور اللى عندنا هذا يبقى انا
+
+108
+00:10:11,090 --> 00:10:15,610
+بداش اقولك هو دي حفظ الصيغة هذه لأ انت هتحفظها
+
+109
+00:10:15,610 --> 00:10:19,370
+لحالك automatic بس عند كل سؤال اكتبها بتلاقي حفظها
+
+110
+00:10:19,370 --> 00:10:22,150
+لحالك من دون ماتحاول تحفظها بتلاقي انها حفظت
+
+111
+00:10:22,150 --> 00:10:27,630
+لحالها فبتجي تقولي هذا ال f of x اللي عبارة عن
+
+112
+00:10:27,630 --> 00:10:33,360
+summation من n equal zero to infinityلقى فاضل رقم
+
+113
+00:10:33,360 --> 00:10:38,720
+N عند الواحد X ناقص واحد to the power N على N
+
+114
+00:10:38,720 --> 00:10:44,140
+factorial يبقى هذا بيساوي ال F of واحد زي ال F
+
+115
+00:10:44,140 --> 00:10:51,200
+prime of واحد X ناقص واحد على واحد factorialمشتقة
+
+116
+00:10:51,200 --> 00:10:56,940
+ثانية عند الواحد X ناقص واحد لكل تربية على اتنين
+
+117
+00:10:56,940 --> 00:11:04,040
+factorial زائد المشتقة انونية عند الواحد X ناقص
+
+118
+00:11:04,040 --> 00:11:08,720
+واحد to the power N على N factorial زائد إلى اخرهم
+
+119
+00:11:08,720 --> 00:11:15,260
+الدالة F of X اللي هي مين عندنا ال E of X يبقى هذه
+
+120
+00:11:15,260 --> 00:11:21,000
+بدها تساوي بداشي اشوف F of واحد F واحد بداشيبإي
+
+121
+00:11:21,000 --> 00:11:28,480
+وال F prime بواحد كمان بإي في ال X ناقص الواحد على
+
+122
+00:11:28,480 --> 00:11:34,560
+واحد factorial ال F double prime كمان بإي في ال X
+
+123
+00:11:34,560 --> 00:11:38,980
+ناقص واحد تربيع على اتنين factorial ونظل ماشيين
+
+124
+00:11:38,980 --> 00:11:43,300
+لغاية إي في ال X ناقص واحد to the power N على N
+
+125
+00:11:43,300 --> 00:11:49,720
+factorial زائد إلى ما شاء اللهيبقى أصبحت ال EOS6
+
+126
+00:11:49,720 --> 00:11:55,820
+هي عبارة عن summation لحد أنه هي جاهز عندي بنزل
+
+127
+00:11:55,820 --> 00:12:02,060
+لحد أنه يبقى E كمقدار ثابت في ال X ناقص واحد to
+
+128
+00:12:02,060 --> 00:12:07,840
+the power N على N factorial من عند ال N equal zero
+
+129
+00:12:07,840 --> 00:12:13,760
+to infinityفعلا هذا هو الحد النوني لان لو بدأت
+
+130
+00:12:13,760 --> 00:12:18,500
+اعوض بال zero بيطلع من ال series اللي عندنا هذه
+
+131
+00:12:18,500 --> 00:12:23,140
+يبقى هذا من أبسط أنواع المسائل اللي لا فيها تفكير
+
+132
+00:12:23,140 --> 00:12:29,920
+ولا عدشغل روتيني طبيعي طيب تجلك الموضوع شوية نعطيك
+
+133
+00:12:29,920 --> 00:12:30,880
+مثال اخر
+
+134
+00:12:46,090 --> 00:12:57,010
+يبقى example two find
+
+135
+00:12:57,010 --> 00:13:07,110
+the taylor series for
+
+136
+00:13:07,110 --> 00:13:08,290
+the function
+
+137
+00:13:12,950 --> 00:13:30,270
+f of x يساوي x في لن ال x at x يساوي a خلّي
+
+138
+00:13:30,270 --> 00:13:33,490
+بريالك معناه هنا التكتيك اللي اتبعناه في المثال
+
+139
+00:13:33,490 --> 00:13:39,570
+هناك هنتبعه هنا مع فارق في النتائج كيف؟الان هى ال
+
+140
+00:13:39,570 --> 00:13:47,330
+F of X يساوي X فى لن ال X بدنا نجيب ال F of E لان
+
+141
+00:13:47,330 --> 00:13:52,990
+جالى يحسبها عند ال E يبقاش بصير E فى لن ال E لأن
+
+142
+00:13:52,990 --> 00:13:59,650
+ال E بجداش يبقى نتيجة E فقط لغيربعد ذلك بدي أخد f
+
+143
+00:13:59,650 --> 00:14:05,830
+prime of x هذا مشتقت حصل ضرب دلتين يبقى الدالة
+
+144
+00:14:05,830 --> 00:14:10,830
+الأولى في مشتقة الدالة الثانية زائد الدالة الثانية
+
+145
+00:14:10,830 --> 00:14:16,850
+في مشتقة الدالة الأولى يعني واحد زائد لن ال X يبقى
+
+146
+00:14:16,850 --> 00:14:24,250
+الصار عندي f prime of e بدي سوى من؟ بدي سوى واحد
+
+147
+00:14:24,250 --> 00:14:31,060
+زائد لن ال E لن ال E بقى 12يبقى النتيجة اتنيناللي
+
+148
+00:14:31,060 --> 00:14:36,560
+بعده ال F double prime of X مشتقة الواحد ب Zero
+
+149
+00:14:36,560 --> 00:14:39,760
+مشتقة لن ال X واحد على X
+
+150
+00:15:00,770 --> 00:15:10,490
+على E تربيع المشتقة الرابعة عند ال X يساوي 2 على X
+
+151
+00:15:10,490 --> 00:15:20,410
+تكييب المشتقة الرابعة عند ال E يساوي 2 على E تكييب
+
+152
+00:15:20,410 --> 00:15:28,470
+المشتقة الخامسة بالنسبة إلى X يبقى سالم 6 على X
+
+153
+00:15:28,470 --> 00:15:37,740
+أُص 4المشتقة الخامسة عند ال E هو يسوى سالب ستة على
+
+154
+00:15:37,740 --> 00:15:46,920
+يوسع أربعة المشتقة السادسة F V I عند ال X هو يسوى
+
+155
+00:15:46,920 --> 00:15:55,640
+أربعة وعشرين على X وخمسةالمشتقة السادسة عند ال E
+
+156
+00:15:55,640 --> 00:16:11,440
+هو يسوى أربع وعشرين على E أس خمسة خلّالي
+
+157
+00:16:11,440 --> 00:16:16,700
+في النتاج اللي توصلنا إليها من شكلها بدي أحاول
+
+158
+00:16:16,700 --> 00:16:20,000
+أعرف شكل المشتقة النونية
+
+159
+00:16:22,020 --> 00:16:25,900
+بس قبل ان تعرف شكل المشتق قانونية حاول اتبرمج
+
+160
+00:16:25,900 --> 00:16:31,440
+النتاج اللتي وصلت اليها عشان نقدر نعرف ما هو شكل
+
+161
+00:16:31,440 --> 00:16:37,580
+المشتق قانونية بقول والله كويس لو جتلي هذه اربعة و
+
+162
+00:16:37,580 --> 00:16:43,420
+عشرين مش عضارة مضروب الأربعة صح؟يبقى هذه أربعة
+
+163
+00:16:43,420 --> 00:16:51,160
+factorial على X أُس خمسة طيب هذه ستة تلاتة
+
+164
+00:16:51,160 --> 00:16:57,760
+factorial على X أُس أربعة طيب هذه اتنين factorial
+
+165
+00:16:57,760 --> 00:17:05,120
+على X تكييب هذه سالب واحد factorial على X تربيع
+
+166
+00:17:05,120 --> 00:17:13,780
+هذه zero factorial على Xيبقى هدول زيهم كمان، ماحدش
+
+167
+00:17:13,780 --> 00:17:19,900
+أحسن من حد يبقى هذه تساوي أربعة factorial على E أس
+
+168
+00:17:19,900 --> 00:17:26,440
+خمسة ناقص تلاتة factorial على E أس أربعة اتنين
+
+169
+00:17:26,440 --> 00:17:32,940
+factorial على E تكيين سالب واحد factorial على E
+
+170
+00:17:32,940 --> 00:17:41,910
+تربية Zero factorial على Eطب يشوف الان لو ضليت
+
+171
+00:17:41,910 --> 00:17:48,210
+ماشي بقدر اوصل لشكل المشتقة النونية as a function
+
+172
+00:17:48,210 --> 00:17:56,980
+of x ولا لا تعالى شوف هذا المشتقة رقم كده؟هذه ستة
+
+173
+00:17:56,980 --> 00:18:02,160
+الأُس أقل من ستة ال factorial باتنين والأُس اللي
+
+174
+00:18:02,160 --> 00:18:08,580
+عندي أقل بواحد طيب كويس ستة خمسة أربعة طيب نيجي
+
+175
+00:18:08,580 --> 00:18:14,440
+المشتقة الخامسة خمسة أربعة ثمانية الرابعة أربعة
+
+176
+00:18:14,440 --> 00:18:18,300
+ثلاثة اتنين وهكذا إذا بقدر أجيب شكل مشتقة قانونية
+
+177
+00:18:18,300 --> 00:18:23,510
+ولا لا؟يبقى من هذه إذا هذه بدأت سوى سيبونا السلب
+
+178
+00:18:23,510 --> 00:18:28,130
+نتفهم عليه ماعنداش مشكلة يبقى هذه ال N بدأت تبقى
+
+179
+00:18:28,130 --> 00:18:36,810
+أجل منها بمقدار 2 يبقى N نقص 2 factorial على X أُس
+
+180
+00:18:37,930 --> 00:18:43,870
+أقل منه بواحد يبقى N ناقص واحد بقية ان الإشارة
+
+181
+00:18:43,870 --> 00:18:49,390
+موجب سالب موجب سالب موجب و هكذا إذا بتروح تكتب لي
+
+182
+00:18:49,390 --> 00:18:55,700
+ما يأتي ناقص واحد to the power Nوبتجي ترجح حسابتك
+
+183
+00:18:55,700 --> 00:18:59,900
+إذا حسابتك دقيقة مافي مشكلة خلاص بكون انتهينا إذا
+
+184
+00:18:59,900 --> 00:19:05,840
+لجيت الإشارة غلط بس ضيف لل N واحد يبقى حلت مشكلتنا
+
+185
+00:19:05,840 --> 00:19:11,260
+يبقى يا بحط أس N يا أس N زائد واحد حسب طبيعة مين
+
+186
+00:19:11,260 --> 00:19:17,060
+المسألة اللي عندي تمام تمام طيب يبقى أنا لو بدأت
+
+187
+00:19:17,060 --> 00:19:24,240
+حطيت ال N هذه مثلا بتنينيبقى 2 بيصير هذه موجب
+
+188
+00:19:24,240 --> 00:19:29,020
+المشتقة الثانية N ب2 يعني المشتقة التانية بيصير
+
+189
+00:19:29,020 --> 00:19:33,380
+هذه ايش موجب هذه zero factorial اللي هي بواحد
+
+190
+00:19:33,380 --> 00:19:38,600
+اتنين ناقص واحد اللي هي بواحد يعني واحد على X
+
+191
+00:19:38,600 --> 00:19:42,700
+المشتقة التانية طلع للمشتقة التانية واحد ال X صحيح
+
+192
+00:19:43,240 --> 00:19:47,940
+طيب لو بدل اتنين حطيت تلاتة يبقى المشتقة التالتة
+
+193
+00:19:47,940 --> 00:19:53,360
+هذه سالب واحد تكييف بسالب هذه واحد factor لب واحد
+
+194
+00:19:53,360 --> 00:19:58,940
+وهنا X تربيع يبقى سالب واحد على X تربيع المشتقة
+
+195
+00:19:58,940 --> 00:20:03,000
+التالتة و هكذالو حسبت حساباتي الملاجئة كلها صحيحة
+
+196
+00:20:03,000 --> 00:20:07,460
+ماعندنا مشكلة يبقى بناء ان عليه بضروح أحسب التفاضل
+
+197
+00:20:07,460 --> 00:20:13,200
+الرقم M عند العدد A يبقى سالب واحد to the power N
+
+198
+00:20:13,200 --> 00:20:21,640
+مالكش دعوة وهنا N ناقص اتنين factorial وهنا E أس N
+
+199
+00:20:21,640 --> 00:20:29,600
+ناقص واحدخلصنا يبقى انا احنا
+
+200
+00:20:29,600 --> 00:20:35,180
+عندنا f of x summation من n equal zero to infinity
+
+201
+00:20:35,180 --> 00:20:42,750
+لتفاضل رقم n عند ال main عند ال aفى ال X ناقص ال E
+
+202
+00:20:42,750 --> 00:20:49,170
+to the power N على N factorial يبقى ال F of E زائد
+
+203
+00:20:49,170 --> 00:20:55,070
+ال F prime of E فى ال X ناقص ال E على واحد
+
+204
+00:20:55,070 --> 00:21:02,390
+factorial تفضل الثانى عند ال E ال X ناقص ال E لكل
+
+205
+00:21:02,390 --> 00:21:08,560
+تربيه على اتنين factorialالتفاضل التالت and ال E
+
+206
+00:21:08,560 --> 00:21:14,920
+في ال X نقص ال E لكل تكيب على 3 factorial التفاضل
+
+207
+00:21:14,920 --> 00:21:22,140
+الرابع and ال E في ال X نقص ال Eto the power four
+
+208
+00:21:22,140 --> 00:21:28,900
+على أربعة factorial زائد زائد لما نوصل لحد انوني
+
+209
+00:21:28,900 --> 00:21:35,000
+تفضل رقم N عند ال E ال X نقص ال E to the power N
+
+210
+00:21:35,000 --> 00:21:40,900
+على N factorial زائد إلى ما شاء الله ال F of X
+
+211
+00:21:40,900 --> 00:21:47,320
+عندنا اللي هي main X لإن ال X يساوي ال F of E طلع
+
+212
+00:21:47,320 --> 00:21:54,220
+ب Eوالـ F prime of E طلع بقداش ب 2 في ال X ناقص
+
+213
+00:21:54,220 --> 00:21:58,660
+اللي هي 1 factorial المهيب واحدنجرى ال F double A
+
+214
+00:21:58,660 --> 00:22:05,820
+prime اللي واحد على E يبقى زائد واحد على E ال X
+
+215
+00:22:05,820 --> 00:22:11,820
+نقص ال E تربيع على اتنين factorial المشتقة التالتة
+
+216
+00:22:11,820 --> 00:22:20,620
+سالب واحد على E تربيع فمين في ال X نقص ال E لكل
+
+217
+00:22:20,620 --> 00:22:26,350
+تكييبعلى تلاتة factorial المشتق الرابع اللي هو
+
+218
+00:22:26,350 --> 00:22:34,830
+باتنين factorial على E تكيب في mean في ال X نقص ال
+
+219
+00:22:34,830 --> 00:22:40,830
+E to the power five على mean على ات اخدنا هذه
+
+220
+00:22:40,830 --> 00:22:49,350
+اربعة على mean على اربعة factorial تفرق بواحد
+
+221
+00:22:49,350 --> 00:22:55,040
+factorial من واحدتمام؟ زاد لو بدى اجي للي بعدها
+
+222
+00:22:55,040 --> 00:22:59,140
+بدى المشتق رقم خمسة هاي المشتق رقم خمسة اللي هي
+
+223
+00:22:59,140 --> 00:23:02,980
+سالب تلاتة factorial على E أُس أربعة يبقى هذا
+
+224
+00:23:02,980 --> 00:23:10,500
+بيصير سالب تلاتة factorial على مين؟ على E أُس
+
+225
+00:23:10,500 --> 00:23:16,920
+أربعة في ال X نقص ال E أُس خمسة على خمسة factorial
+
+226
+00:23:16,920 --> 00:23:23,630
+زاد زادنوصل للاخير المشتق قانوني ياله السالب واحد
+
+227
+00:23:23,630 --> 00:23:31,550
+to the power N في ال N نقص اتنين factorial على E
+
+228
+00:23:31,550 --> 00:23:37,510
+أس N نقص واحد في مين؟ في ال X نقص ال E to the
+
+229
+00:23:37,510 --> 00:23:45,870
+power N على N factorial زائد إلى ما شاء الله طيبE
+
+230
+00:23:45,870 --> 00:23:53,770
+زائد اتنين في ال X ناقص ال E زائد واحد على E X
+
+231
+00:23:53,770 --> 00:24:00,330
+ناقص ال E لكل تربيع على اتنين factorial ناقص هذه
+
+232
+00:24:00,330 --> 00:24:06,550
+واحد على E تربيع ايش رأيك اتنين factorial هذه بدي
+
+233
+00:24:06,550 --> 00:24:14,500
+اكتبها اتنين في واحد وهذه اللي هي mainأكس ناقص E
+
+234
+00:24:14,500 --> 00:24:18,980
+لكل تكييب تلاتة factorial التي هي تلاتة في اتنين
+
+235
+00:24:18,980 --> 00:24:25,340
+زائد أربعة
+
+236
+00:24:25,340 --> 00:24:30,460
+في تلاتة في اتنين factorial بتروح معاه اتنين
+
+237
+00:24:30,460 --> 00:24:37,560
+factorial بيصير X ناقص ال E لكل أس أربعة على E
+
+238
+00:24:37,560 --> 00:24:45,850
+تكييب في أربعة في تلاتةاللي بعده ناقص هذه بنفس
+
+239
+00:24:45,850 --> 00:24:50,490
+الطريقة خمسة في أربعة في تلاتة factorial بتروح مع
+
+240
+00:24:50,490 --> 00:24:55,150
+التلاتة factorial بيظل x ناقص ال E to the power
+
+241
+00:24:55,150 --> 00:25:03,210
+five على E أس أربعة خمسة في أربعةزائد زائد هذه
+
+242
+00:25:03,210 --> 00:25:08,970
+بنفس الطريقة ناقص واحد to the power N في ال X ناقص
+
+243
+00:25:08,970 --> 00:25:16,450
+ال E to the power N على N في N ناقص واحد N ناقص
+
+244
+00:25:16,450 --> 00:25:21,670
+اتنين factorial مع N ناقص اتنين factorial زائد إلى
+
+245
+00:25:21,670 --> 00:25:32,990
+آخرين اه في ان هنا E أس N ناقص واحدطيب، هذا الكلام
+
+246
+00:25:32,990 --> 00:25:37,950
+يساوي، بدي أضع هذه على شكل power series،
+
+247
+00:25:37,950 --> 00:25:45,710
+summation، يبقى هذه ايه؟زائد اتنين في ال X ناقص ال
+
+248
+00:25:45,710 --> 00:25:50,950
+E هدول الترميات الاتنين مافيهمش واحد على E بالمرة
+
+249
+00:25:50,950 --> 00:25:55,610
+يبقى بده اخليهم لحالهم والباقية اخدهم مع بعضهم
+
+250
+00:25:55,610 --> 00:26:01,230
+وبعدين نتفاهم على هذا القصة يبقى زائد summation
+
+251
+00:26:01,230 --> 00:26:06,010
+بده احط شكل الحد النوني to the power N
+
+252
+00:26:18,850 --> 00:26:23,990
+يبقى كتبت البرج بال summation و كتبت اتنين هدول
+
+253
+00:26:24,730 --> 00:26:28,670
+يبقى روحنا و كتبنا المعادلة اللى عندنا او ال
+
+254
+00:26:28,670 --> 00:26:33,350
+series اللى عندنا على هذا الشكل تعالى نشوف هل يمكن
+
+255
+00:26:33,350 --> 00:26:37,410
+ضمى two terms لهذا ال summation ولا لأ طب ال
+
+256
+00:26:37,410 --> 00:26:41,350
+summation بده يبدأ من عند N تساوي مش عارف جداش
+
+257
+00:26:41,350 --> 00:26:47,770
+لغاية infinity من وين بده يبدأ؟ اتنين طبعا احنا
+
+258
+00:26:47,770 --> 00:26:52,710
+طلعنا اول حد Zero و واحد اذا N بده يبدأ من عند
+
+259
+00:26:52,710 --> 00:26:53,370
+اتنين
+
+260
+00:26:59,710 --> 00:27:04,890
+هل ال series معرفة عند ال zero او عند ال واحد؟
+
+261
+00:27:04,890 --> 00:27:06,850
+لازير و لا واحد
+
+262
+00:27:10,220 --> 00:27:14,120
+طلعناهم برا في القمتين اللي برا وبالتالي قال ال
+
+263
+00:27:14,120 --> 00:27:17,320
+submission إلى الشكل اللي قدامنا يبقى هذا الشكل
+
+264
+00:27:17,320 --> 00:27:23,100
+صحيح مائة بالمائة تمام؟ حد يلو أي استفسار هنا قبل
+
+265
+00:27:23,100 --> 00:27:26,000
+مفوت للمثال اللي بعده؟
+
+266
+00:27:29,560 --> 00:27:36,220
+ما اختصرناش هادى هاه هادى قصدك يعني هادى cdi ناقص
+
+267
+00:27:36,220 --> 00:27:42,360
+واحد to the power n n ناقص اتنين factorial x ناقص
+
+268
+00:27:42,360 --> 00:27:48,440
+ال e to the power n e plus n ناقص واحد لأن هذا ال
+
+269
+00:27:48,440 --> 00:27:54,360
+n factorial اللى ال n في n ناقص واحد في n ناقص
+
+270
+00:27:54,360 --> 00:28:00,640
+اتنين factorialمظبوط؟ هاي هذا بسلامته مع هذا، بيضل
+
+271
+00:28:00,640 --> 00:28:07,140
+الباقي اللي عنده، هاي، صح؟ حد اللي هو يتساوي
+
+272
+00:28:07,140 --> 00:28:13,560
+الآخر؟ طيب، كمان مثال، هاي أعطينا مثالين على
+
+273
+00:28:13,560 --> 00:28:19,860
+تايلور، ناخد مثال على ماكلورين، بلاش يزعل يعني
+
+274
+00:28:28,480 --> 00:28:34,020
+مثال رقم تلاتة
+
+275
+00:28:54,360 --> 00:28:58,520
+the following functions
+
+276
+00:28:58,520 --> 00:29:02,260
+نمرة
+
+277
+00:29:02,260 --> 00:29:16,740
+a f of x تساوي صين ال x نمرة b f of x تساوي صين 3x
+
+278
+00:29:16,740 --> 00:29:30,110
+نمرة cF of X يساوي Cos X نمره دي F of X يساوي Cos
+
+279
+00:29:30,110 --> 00:29:35,630
+تربيع X هذا
+
+280
+00:29:35,630 --> 00:29:41,050
+مش سؤال، هذا أربع أسئلة يعني
+
+281
+00:29:41,050 --> 00:29:46,410
+خلصنا
+
+282
+00:29:46,410 --> 00:29:49,630
+النحيا دي خلاص؟ للحين؟
+
+283
+00:29:53,880 --> 00:29:58,840
+طيب نرجع لسؤالنا و نقول هاتلي مكلون و سيريز لكل من
+
+284
+00:29:58,840 --> 00:30:05,740
+الدوال التالية و لم يعطيني نقطة ماعطانيش نقطة احسب
+
+285
+00:30:05,740 --> 00:30:14,160
+عندها اللي ماقلتوش اه يبقى a هنا ب zero تمام يبقى
+
+286
+00:30:14,160 --> 00:30:18,920
+لما يعطيني نقطة معناته بده مفكوك تايلورولما لم
+
+287
+00:30:18,920 --> 00:30:21,720
+يعطينا نقطة معناها، سوف نحصل على مفكوك مكلورين،
+
+288
+00:30:21,720 --> 00:30:29,040
+فهو قال و الله لم يعطينا مفكوك مكلورين، فهو
+
+289
+00:30:29,040 --> 00:30:34,720
+لم
+
+290
+00:30:34,720 --> 00:30:40,880
+يعطينا مفكوك
+
+291
+00:30:40,880 --> 00:30:44,940
+مكلورينيعني كانوش بيقولي وفاقة أخرى قتلي ما أكله
+
+292
+00:30:44,940 --> 00:30:49,960
+نصيره، تمام؟ يبقى انقلت Taylor Swift عندك 60 يقصد
+
+293
+00:30:49,960 --> 00:30:55,410
+مياهما خلّى ذلك يبقى ان اعطاني رقم غير الصفر
+
+294
+00:30:55,410 --> 00:31:00,050
+معناته تايلور سيريز ان طلب مكلونه بيقولليش هي نقطة
+
+295
+00:31:00,050 --> 00:31:05,110
+يبقى ان افهمها عند ا تساوي زيرو بدنا نيجي للنقطة
+
+296
+00:31:05,110 --> 00:31:08,690
+اللى عندنا هذا وبدنا نبدأ نحسبها زي ما حسبنا في
+
+297
+00:31:08,690 --> 00:31:15,810
+المثالين السابقين فبجي بقوله ال F of X يساوي صين
+
+298
+00:31:15,810 --> 00:31:24,310
+ال Xيبقى ال f of zero بده يسوي قداش يبقى zero بدنا
+
+299
+00:31:24,310 --> 00:31:32,380
+ال f prime of x ب cosine ال xالـ f prime of 0 cos
+
+300
+00:31:32,380 --> 00:31:38,180
+0 اللي هو بيبقى داشر بواحد بدنا ال f double prime
+
+301
+00:31:38,180 --> 00:31:47,100
+of x يبقى سالب sin x ال f double prime عند 0 سالب
+
+302
+00:31:47,100 --> 00:31:54,430
+sin 0 اللي هو بيبقى داشر 0المشتقة التالتة عند ال X
+
+303
+00:31:54,430 --> 00:32:04,090
+بسلب Cos X المشتقة التالتة عند ال Zero بسلب Cos
+
+304
+00:32:04,090 --> 00:32:10,290
+Zero اللي هو بقداش؟ بسلب واحد المشتقة الرابعة عند
+
+305
+00:32:10,290 --> 00:32:16,890
+ال X تفضل Cos بسلب Sin مع سلب بيصير موجة بSin
+
+306
+00:32:16,890 --> 00:32:25,680
+المشتقة الرابعةعند الـ zero مستقر رابع عند ال zero
+
+307
+00:32:25,680 --> 00:32:30,140
+تساوي ال sign ال zero اللي هو ب zeroالمشتقة
+
+308
+00:32:30,140 --> 00:32:37,780
+الخامسة عند ال X اللي هو ب cosine ال X المشتقة رقم
+
+309
+00:32:37,780 --> 00:32:43,040
+خمسة عند ال zero تساوي cosine صفر اللي هو بقداش
+
+310
+00:32:43,040 --> 00:32:47,840
+بواحد طيب تعالى نوقف وقف التأمل في النتائج التي
+
+311
+00:32:47,840 --> 00:32:50,100
+توصلنا اليها
+
+312
+00:32:52,300 --> 00:32:57,780
+هدول أربعة Zero واحد Zero سالب واحد بعدين تبدأ
+
+313
+00:32:57,780 --> 00:33:04,280
+Zero واحد Zero سالب واحد كل أربع مرات بتتكرر دورة
+
+314
+00:33:04,280 --> 00:33:09,200
+تبعتنا من جديد يبقى وليش اقعد اتكرر مكافئك ومنها
+
+315
+00:33:09,200 --> 00:33:14,420
+بدي أعرف ما هو شكل الحد نوني فباجي بقول لو جيب
+
+316
+00:33:14,420 --> 00:33:24,540
+ضليت ماشي لغاية تفاضل N of Xسيبك بالإشارة بس بدي
+
+317
+00:33:24,540 --> 00:33:29,800
+أعرف هل هو ال sign ولا ال cosine مين منهم؟ ال
+
+318
+00:33:29,800 --> 00:33:36,600
+cosine ايش عرفك هنا ال cosine؟ اللي بدي واحد منك
+
+319
+00:33:36,600 --> 00:33:39,580
+بس يعرف عيده مشان نتناقش احنا وياه و الكل يستفيد
+
+320
+00:33:39,580 --> 00:33:43,060
+يعني لعل يكون اهتدأ ايه اه؟
+
+321
+00:33:49,770 --> 00:33:54,870
+يعني اكتب cosine X هيك طيب هذه لو كانت N مثلا
+
+322
+00:33:54,870 --> 00:34:01,990
+بقداش لو كانت N بتلاتة او واحد او خمسة او سبعة طيب
+
+323
+00:34:01,990 --> 00:34:08,990
+لو كانت N باتنين بيصير كلامك مش مظبوط صحيح ولا لا؟
+
+324
+00:34:08,990 --> 00:34:12,730
+كويس نتناقش ماشي يتكلم الواحد حتى لو غلط من الغلط
+
+325
+00:34:12,730 --> 00:34:16,650
+لازم نعرف الصح حل
+
+326
+00:34:16,650 --> 00:34:18,390
+ليه؟ مافيش حاجة سباتين كلمة
+
+327
+00:34:21,700 --> 00:34:26,820
+هذه اللي هي تخضع للحلول الوصلة، أه مش مفاوضاتي،
+
+328
+00:34:26,820 --> 00:34:33,420
+هذا علم، والعلم حد فاصل، مش فيها تفاعلخلاص طيب لا
+
+329
+00:34:33,420 --> 00:34:38,480
+يمكن اقدر احدد انها sine او cosine على الاقل مافي
+
+330
+00:34:38,480 --> 00:34:44,100
+امكانية لكن بنقدر نحل المشكلة بنفكر شوية بنحلها طب
+
+331
+00:34:44,100 --> 00:34:49,100
+انا مدام فاصلت ان الزوجيات cosine مثلا و الفرديات
+
+332
+00:34:49,100 --> 00:34:54,190
+sine او العكسإذا خلّيني أظل ماشي لغة معصر لمشتقة
+
+333
+00:34:54,190 --> 00:34:59,830
+زوجية ومشتقة فردية، دي معنى لو ضليت ماشي للمشتقة
+
+334
+00:34:59,830 --> 00:35:06,200
+الرقم اتنين Nإذاً هذه مشتقة زوجية ولا فردية زوجية
+
+335
+00:35:06,200 --> 00:35:10,380
+تعالى نشوف المشتقات الزوجية هي قبل اشتقاق sign
+
+336
+00:35:10,380 --> 00:35:15,340
+مشتقة الزوجية سالب sign مشتقة الزوجية ال sign اللي
+
+337
+00:35:15,340 --> 00:35:18,680
+بعدها ال sign يبقى هي ال sign ال X بس بضال ال main
+
+338
+00:35:18,680 --> 00:35:23,240
+اللي إشارة نفهم عليها مش مشكلة إذا المشتقة الزوجية
+
+339
+00:35:23,240 --> 00:35:28,600
+هي ال sign ال X والإشارة هي سالب واحد to the power
+
+340
+00:35:28,600 --> 00:35:32,600
+N دلوقت ما أشوف صح ولا غلطيبقى لو جيت بالدقيقة دي
+
+341
+00:35:32,600 --> 00:35:44,580
+اخد عندي zero اتدلق قبل الاشتقاق بصين
+
+342
+00:35:44,580 --> 00:35:48,420
+ال X بعد ال zero ايش بيجيني1 اتنين في واحد في
+
+343
+00:35:48,420 --> 00:35:53,460
+اتنين تعني المشتقة الثانية يبقى سالب واحد اقصر
+
+344
+00:35:53,460 --> 00:35:58,620
+واحد يبقى سالب sign X المشتقة الثانية سالب sign X
+
+345
+00:35:58,620 --> 00:36:02,860
+بعد الواحد بيجيني اتنين في اتنين باربع يعني
+
+346
+00:36:02,860 --> 00:36:09,540
+المشتقة رقم اربع بعد المشتقة الرابع هنا سالب واحد
+
+347
+00:36:09,540 --> 00:36:14,080
+في ربيع يبقى موجة بواحد sign X المشتقة الرابعة هي
+
+348
+00:36:14,080 --> 00:36:20,230
+موجة ب sign X مية المية مافي مشكلةبدا أحسن التفاضل
+
+349
+00:36:20,230 --> 00:36:28,290
+رقم 2N عند الـ Zero يبقى هذا بده يطلع سالب واحد أس
+
+350
+00:36:28,290 --> 00:36:33,650
+N في ال sign ال Zero اللي هو بجداش ب Zero طيب
+
+351
+00:36:33,650 --> 00:36:37,690
+بالمرة هات اللي بعدها و خلاصنا يبقى هاي وصلنا
+
+352
+00:36:37,690 --> 00:36:45,890
+لتفاضل رقم 2N زائد واحد عند ال Xيبقى هذه مشتقات
+
+353
+00:36:45,890 --> 00:36:52,270
+فردية كلها وبعدها المشتقة الفردية cosine cosine
+
+354
+00:36:52,270 --> 00:36:58,250
+cosine مع الخلاف الإشارة يبقى هاي cosine ال X وهي
+
+355
+00:36:58,250 --> 00:37:03,010
+سالب واحد to the power N وبعدها نشوف هل الكلام هذا
+
+356
+00:37:03,010 --> 00:37:09,510
+صحيح ولا لا لو كانت N ب Zero يبقى هذا بطيلة مضال
+
+357
+00:37:09,510 --> 00:37:14,200
+واحد تعني المشتقة الأولىلو كان هذا بالزيرو يبقى
+
+358
+00:37:14,200 --> 00:37:18,760
+واحد فيه cosine وcos x يبقى المشتقة الأولى بcos x
+
+359
+00:37:18,760 --> 00:37:23,060
+سليم مائة بالمائة بعد زيرو حط الواحد يصير اتنين في
+
+360
+00:37:23,060 --> 00:37:29,500
+واحد باتنين وواحد يبقى المشتقة الرقم تلاتة المشتقة
+
+361
+00:37:29,500 --> 00:37:34,880
+الرقم تلاتة بداها يحط سالب واحد أس واحد يبقى سالب
+
+362
+00:37:34,880 --> 00:37:39,220
+cosine x المشتقة التالتة سالب cosine x and so on
+
+363
+00:37:39,220 --> 00:37:44,130
+يبقى شغلنا سليم مائة بالمائةبدروح احسب تفاضل رقم
+
+364
+00:37:44,130 --> 00:37:49,710
+2n زائد 1 عند ال zero يبقى هاي سالب واحد to the
+
+365
+00:37:49,710 --> 00:37:54,810
+power n cosine zero اللي هو بواحد يبقى النتيجة
+
+366
+00:37:54,810 --> 00:38:01,030
+سالب واحد to the power n يبقى شباب الصمشي لمن
+
+367
+00:38:01,030 --> 00:38:07,960
+اكتبوابديش يا يوجه فاندل N وانما هيضل غلط لوين؟
+
+368
+00:38:07,960 --> 00:38:14,160
+للي اتنين N وللي اتنين N زائد واحد طب نشوف كيف
+
+369
+00:38:14,160 --> 00:38:16,280
+بنحسب هالحسبة تبعتنا هذه
+
+370
+00:38:31,590 --> 00:38:37,750
+يبقى بنرجع هنا ال f of x يساوي summation من n
+
+371
+00:38:37,750 --> 00:38:43,530
+equal zero to infinity للتفاضل رقم n عند ال zero ل
+
+372
+00:38:43,530 --> 00:38:49,660
+x to the power n على n factorial ال f of zeroزاد f
+
+373
+00:38:49,660 --> 00:38:54,620
+prime of zero x على واحد factorial زاد ال f double
+
+374
+00:38:54,620 --> 00:38:59,020
+prime of zero x تربية على اتنين factorial زاد
+
+375
+00:38:59,020 --> 00:39:02,780
+التفاضل التالتة ان ال zero x تكيب على تلاتة
+
+376
+00:39:02,780 --> 00:39:11,080
+factorial زاد التفاضل الرابععند الـ 0x أُس 4 على 4
+
+377
+00:39:11,080 --> 00:39:16,540
+factorial زاد التفاضل رقم 5 عند الـ 0x to the
+
+378
+00:39:16,540 --> 00:39:23,340
+power 5 على 5 factorial زائد زائدمش هنقدر نقف عند
+
+379
+00:39:23,340 --> 00:39:27,780
+ال N بنعرفها أشياء دي لكن هنبقى نمشي لغاية مين؟ ل
+
+380
+00:39:27,780 --> 00:39:38,360
+2N و ل 2N زائد 1 يبقى لغاية التفاضل رقم 2N عند ال
+
+381
+00:39:38,360 --> 00:39:45,350
+0 X to the power 2Nعلى 2n factorial زاد التفاضل
+
+382
+00:39:45,350 --> 00:39:54,130
+الرقم 2n plus 1 عند 0 x to the power 2n plus 1 على
+
+383
+00:39:54,130 --> 00:40:01,270
+2n plus 1 factorial زاد إلى آخرين الف of x عند
+
+384
+00:40:01,270 --> 00:40:06,410
+اليمين صين ال x الف of zero بقداش
+
+385
+00:40:11,960 --> 00:40:16,400
+الـ F برايمه بواحد يبقى فضل ان X على واحد
+
+386
+00:40:16,400 --> 00:40:20,840
+factorial اللي هو ب X او X على واحد factorialنجي
+
+387
+00:40:20,840 --> 00:40:25,940
+لبعده ال f double prime ب zero يبقى كمان هذا راح
+
+388
+00:40:25,940 --> 00:40:31,560
+مع السلامة المشتقة التالتة بسالب واحد يبقى سالب x
+
+389
+00:40:31,560 --> 00:40:37,540
+تكيب على تلاتة factorial المشتقة الرابعة قداش zero
+
+390
+00:40:37,540 --> 00:40:42,100
+مع السلامة وصلنا للمشتقة الخامسة المشتقة الخامسة
+
+391
+00:40:42,100 --> 00:40:48,120
+بواحد بالموجب يبقى x أص خمسة على خمسة factorial
+
+392
+00:40:48,580 --> 00:40:56,220
+شفوي حد بيقدر يقولي جداش ال term اللي بعده ناقص
+
+393
+00:40:56,220 --> 00:41:01,720
+x والسبعة على سبعة factorial و هكذا طيب هاي ناقص
+
+394
+00:41:01,720 --> 00:41:06,040
+هو انه جبال الله يسهل عليكي لما انا وصل لهذه هذه
+
+395
+00:41:06,040 --> 00:41:13,360
+كمان بجداش F0 F2 هي F0 مع السلامة وصلنا للي بعدها
+
+396
+00:41:13,360 --> 00:41:19,320
+اللي بعدها بجداشبنقص واحد to the power n x أس
+
+397
+00:41:19,320 --> 00:41:26,980
+اتنين n plus one اتنين n plus one factorial زائد
+
+398
+00:41:26,980 --> 00:41:31,600
+إلى ما شاء اللهمش رايك بقدر اكتبها على شكل
+
+399
+00:41:31,600 --> 00:41:38,940
+summation يبقى هاي summation لمن يسلب واحد to the
+
+400
+00:41:38,940 --> 00:41:46,020
+power n x to n plus one to n plus one factorial من
+
+401
+00:41:46,020 --> 00:41:51,720
+عند ال n تساوي zero الى infinity رغم انه شطبنا نص
+
+402
+00:41:51,720 --> 00:41:55,960
+مبدأت من عند zero تعالى نشوف شو اللي هذا صح والله
+
+403
+00:41:55,960 --> 00:42:02,380
+كله كلام تعالى تطلع شوفلو جيت لعنا ال summation
+
+404
+00:42:02,380 --> 00:42:10,080
+لعنا هذا كله بقداش؟ بواحد هذا zero بيظل قداش أس
+
+405
+00:42:10,080 --> 00:42:14,420
+واحد يبقى X أس واحد اللي هي ب X هذا zero بيظل واحد
+
+406
+00:42:14,420 --> 00:42:20,310
+factorial يبقى X على واحد factorialبعد ال zero
+
+407
+00:42:20,310 --> 00:42:24,830
+بيجيني واحد و بيصير هذه السالم هذا بيصير تلاتة و
+
+408
+00:42:24,830 --> 00:42:27,830
+تلاتة factorial اي تلاتة و تلاتة factorial اللي
+
+409
+00:42:27,830 --> 00:42:32,550
+بعد هو هكذا يبقى الشغل سليم مائة بالمائة من هنا
+
+410
+00:42:32,550 --> 00:42:40,230
+جبنا لسه لهذه طيب بدنا نيجي ل B إذا بيه بدنا نبدأ
+
+411
+00:42:40,230 --> 00:42:45,490
+من أول و جديد واش هالزهجان هذا لكن فكري كويس شو
+
+412
+00:42:45,490 --> 00:42:52,850
+بتفرق هذه عن هذه؟بس اغير كل x بتلاتة x بيكون اه
+
+413
+00:42:52,850 --> 00:43:03,390
+خلصت المسألة يبقى استبدل replace each x by تلاتة x
+
+414
+00:43:03,390 --> 00:43:12,990
+we gethigh sin 3x نقص
+
+415
+00:43:12,990 --> 00:43:21,410
+3x الكل تكيب على 3 factorial زائد 3x أُس 5 على 5
+
+416
+00:43:21,410 --> 00:43:28,780
+factorial ناقص زائد ناقص واحد to the power nتلاتة
+
+417
+00:43:28,780 --> 00:43:34,040
+x to the power two n plus one عالى two n plus one
+
+418
+00:43:34,040 --> 00:43:38,680
+factorial زايد إلى ما شاء الله وهي على شكل
+
+419
+00:43:38,680 --> 00:43:44,000
+summation من n equal zero to infinity لسالب واحد
+
+420
+00:43:44,000 --> 00:43:49,800
+to the power n x to n plus one two n plus one
+
+421
+00:43:49,800 --> 00:43:56,370
+factorial جاي في بالي أسأل السؤال التاليلو كانت
+
+422
+00:43:56,370 --> 00:44:03,950
+المسألة هو المطلوب بيه جالي بد ايه الماكرونسيز
+
+423
+00:44:03,950 --> 00:44:10,890
+لصين تلات اكس كيف اسويه بتروح لصين ال X بتروحش
+
+424
+00:44:10,890 --> 00:44:14,290
+لصين تلات اكس كل مشتق كل مرة بده هجيبلك تلاتة
+
+425
+00:44:14,290 --> 00:44:17,730
+تلاتة تلاتة تربية تلاتة تكريه يعني بده تتكلقعي
+
+426
+00:44:17,730 --> 00:44:23,710
+شويةلذلك بنقولك روحة مفكوك sign ال X وبعد ما تخلص
+
+427
+00:44:23,710 --> 00:44:30,610
+هنا بقوله بغير كل X بتلاتة X بيقول حصلنا على
+
+428
+00:44:30,610 --> 00:44:39,090
+المطلوب مباشرة تمام هاي تلاتة تلاتة تلاتة اه هنا
+
+429
+00:44:39,090 --> 00:44:45,430
+مش مكتوبة تلاتة هاي تلاتة وهيهم تمام طيب بدنا نيجي
+
+430
+00:44:45,430 --> 00:44:46,310
+لنمرى ال C
+
+431
+00:44:52,430 --> 00:44:58,230
+قصين ال X قدام عدة طرق للحصول على ما كنا نلها
+
+432
+00:44:58,230 --> 00:45:04,320
+طريقة الأولى بدمشي زي هيكقصتنا طويلة هذه، مظبوط؟
+
+433
+00:45:04,320 --> 00:45:07,920
+واحد قال لي لأ لأ لأ احنا ال section اللي فات
+
+434
+00:45:07,920 --> 00:45:12,580
+أخدنا differentiation term by term قلت له صح قال
+
+435
+00:45:12,580 --> 00:45:16,960
+لي إذا لو جينا لهذه عملنا لها differentiation term
+
+436
+00:45:16,960 --> 00:45:21,420
+by term بنجيب ال cosine تبع ال Xمظبوط او لا؟ يبقى
+
+437
+00:45:21,420 --> 00:45:24,680
+هذه الطريقة تانية و احد قال لي لأ لأ بدي اعملها
+
+438
+00:45:24,680 --> 00:45:28,620
+integration بدل ال differentiation دوله مظبوط يبقى
+
+439
+00:45:28,620 --> 00:45:33,000
+هذي صار بجل الطريقة تلاتة للحصول على cosine ال X و
+
+440
+00:45:33,000 --> 00:45:40,860
+أبسط واحدة فيهم هي ال cosine ال X اللي هو D على DX
+
+441
+00:45:40,860 --> 00:45:46,320
+لمين لsin X يبقى بدنا نيجي هذه و نعملها
+
+442
+00:45:46,320 --> 00:45:52,160
+differentiation term by termبقول له كويس يبقى دي
+
+443
+00:45:52,160 --> 00:45:56,700
+إيش بدها تساوي؟ واحد على واحد فاكتر اللي هو بواحد
+
+444
+00:45:56,700 --> 00:46:05,640
+ناقص تلاتة x تربيع على تلاتة factorial زاد خمسة x
+
+445
+00:46:05,640 --> 00:46:12,780
+وصة أربعة على خمسة factorial ناقص زاد ناقص واحد to
+
+446
+00:46:12,780 --> 00:46:23,490
+the power n2n زائد واحد x أوس 2n على 2n زائد واحد
+
+447
+00:46:23,490 --> 00:46:30,970
+factorial زائد إلى ما شاء اللهطيب يبقى أصبحت
+
+448
+00:46:30,970 --> 00:46:35,890
+cosine ال X يساوي واحد ناقص شو رايك هذه تلاتة
+
+449
+00:46:35,890 --> 00:46:40,390
+factorial مش بقدر أشيلها و أكتبها تلاتة في اتنين
+
+450
+00:46:40,390 --> 00:46:45,990
+factorial و هذه بقدر أشيلها و أكتبها خمسة في أربعة
+
+451
+00:46:45,990 --> 00:46:51,970
+factorial و هذه بقدر أشيلها أفرق و أقول هذه اتنين
+
+452
+00:46:51,970 --> 00:46:59,610
+N زائد واحد في اتنين N factorialونبدأ نختصر اتنين
+
+453
+00:46:59,610 --> 00:47:05,490
+تلاتة مع تلاتة وخمسة مع خمسة و ال N زائد اتنين مع
+
+454
+00:47:05,490 --> 00:47:11,630
+ال N زائد اتنين يبقى آلة المسألة إلى ناقص X تربيع
+
+455
+00:47:11,630 --> 00:47:16,650
+على اتنين factorial اللي بعده X أُص أربعة على
+
+456
+00:47:16,650 --> 00:47:19,530
+أربعة factorial طب اللي بعده؟
+
+457
+00:47:31,910 --> 00:47:37,130
+يبقى هنا ناقص ونبقى المشيل لغاية ناقص واحد
+
+458
+00:47:45,420 --> 00:47:52,920
+زاد نجاة يبقى هذا كله بصير عندي cosine ال X يسوى
+
+459
+00:47:52,920 --> 00:47:59,640
+ال summation للحد النوني to the power N ال X is 2N
+
+460
+00:47:59,640 --> 00:48:06,350
+على 2N factorialمن عند n equal zero to infinity
+
+461
+00:48:06,350 --> 00:48:11,950
+ليش من عند ال zero لأنه لما جيت اشتقت ما طارش ولا
+
+462
+00:48:11,950 --> 00:48:15,610
+term ال term اللي انا اشتقته طالع واحد صحيح اذا
+
+463
+00:48:15,610 --> 00:48:22,630
+موجود وبالتالي ال summation يبقى كما هو طيب هذا هو
+
+464
+00:48:22,630 --> 00:48:28,190
+مفقوق مفقوق ال cosine شو بايل علينا مفقوق ال
+
+465
+00:48:28,190 --> 00:48:30,050
+cosine تربيع
+
+466
+00:48:38,310 --> 00:48:44,430
+واجهة نظر مش عارف هل هي وجهة نظر وجهها في النظر
+
+467
+00:48:44,430 --> 00:48:49,990
+غير وجهها في النظر الله أعلم ده سؤال انت تقدر تربع
+
+468
+00:48:49,990 --> 00:48:55,450
+سين زائد صاد دوري ولا لا سين تربية زي اتنين سين
+
+469
+00:48:55,450 --> 00:48:58,830
+صاد زي اتنين صاد تربية طب نخلط السين زي اتصاد زي
+
+470
+00:48:58,830 --> 00:49:05,240
+اتنين وربعهانقدر برضه، طب لو خلتهم أربعة، خمسة
+
+471
+00:49:05,240 --> 00:49:10,880
+توصل عندك هنا، مظبوط؟ بتبطل يتجمع طب لو كانوا مالة
+
+472
+00:49:10,880 --> 00:49:16,320
+نهاية من الحدود، كمك تربعها؟ مافيش إمكانية، مافيش
+
+473
+00:49:16,320 --> 00:49:19,740
+إمكانية خالص، يبقى أنسى الموضوع بل أنسى الموضوع
+
+474
+00:49:19,740 --> 00:49:24,100
+لهذه الجثة في ديننا بسيطة جدا يبقى هاي نمرة دي
+
+475
+00:49:24,100 --> 00:49:28,600
+cosine تربيع ال X وليه ال integration؟ وإيش جاب ال
+
+476
+00:49:28,600 --> 00:49:34,450
+integration لهذه؟بسيطة لكن في حسابي المثلثات أبو
+
+477
+00:49:34,450 --> 00:49:41,090
+كالكولاس ايه أخدنا هذه النص في واحد زائد cosine
+
+478
+00:49:41,090 --> 00:49:45,790
+اتنين ال X cosine اتنين ال X موجود عندي cosine ال
+
+479
+00:49:45,790 --> 00:49:51,210
+X بس بده يشيل X و حق ماكان اجداش اتنين يبقى هذا
+
+480
+00:49:51,210 --> 00:49:56,800
+الكلام بده يساوي النص في واحد زائدتيجي على
+
+481
+00:49:56,800 --> 00:50:03,420
+القصينها ده بتشيل كل x و بتحط مكانها 2x يبقى هاي
+
+482
+00:50:03,420 --> 00:50:13,420
+واحد نقص 2x لكل تربيع على ال 2 factorialزائد 2X
+
+483
+00:50:13,420 --> 00:50:21,080
+أُس 4 على 4 factorial ناقص زائد لما توصل للحد إنه
+
+484
+00:50:21,080 --> 00:50:31,060
+ناقص 1 أُس N لل 2X أُس 2N على 2N factorial زائد
+
+485
+00:50:31,060 --> 00:50:38,970
+إلى آخرهأظن واحد و واحد تجسم على النص هذه يبقى هذه
+
+486
+00:50:38,970 --> 00:50:45,510
+كلها باتنين نص بيصير عندي واحد وهنا ناقص وهنا
+
+487
+00:50:45,510 --> 00:50:52,090
+اتنين X تربيه على اتنين factorial وهنا اتنين تكييب
+
+488
+00:50:52,090 --> 00:50:57,010
+X أص أربع على أربع factorial جسمتها على اتنينوهنا
+
+489
+00:50:57,010 --> 00:51:02,890
+زائد زائد ناقص واحد to the power n اتنين أس اتنين
+
+490
+00:51:02,890 --> 00:51:09,130
+n ناقص واحد x أس اتنين n على اتنين n factorial
+
+491
+00:51:09,130 --> 00:51:15,850
+زائد إلى آخره يبقى صارت على صيغة summation من n
+
+492
+00:51:15,850 --> 00:51:20,450
+equal zero to infinity لسالب واحد to the power n
+
+493
+00:51:20,450 --> 00:51:24,050
+اتنين أس اتنين n ناقص واحد
+
+494
+00:51:34,540 --> 00:51:39,340
+أخر سطر اللي بدنا نكتبه في هذا ال section اللي هو
+
+495
+00:51:39,340 --> 00:51:46,290
+ال exercises على هذا ال sectionيبقى exercises عشرة
+
+496
+00:51:46,290 --> 00:51:53,210
+تمانية. Exercises عشرة تمانية من واحد لغاية سبعة
+
+497
+00:51:53,210 --> 00:52:00,610
+وتلاتين الأد. المحاضرة القادمة ان شاء الله تعالى
+
+498
+00:52:00,610 --> 00:52:02,930
+بندخل في شبطر أحداشر.
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/hoXMX1NN0Hg_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/hoXMX1NN0Hg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..f7663c9b94ebc52aa8389b2719e443746268abe0
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/hoXMX1NN0Hg_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 268, "start": 0.0, "end": 2.68, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3733723858992259, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.004276275634765625, "words": [{"start": 0.0, "end": 2.68, "word": "موسيقى", "probability": 0.7328369140625}], "temperature": 1.0}, {"id": 2, "seek": 4122, "start": 11.9, "end": 41.22, "text": "بسم الله الرحمن الرحيم هبنبدأ الآن في section عشرة تمانية اللى بتحدث عن taylor and mclaren series taylor او بعض الناس بتقول taylor taylor series او taylor series التانى mclaren series اللى عندها اللى على اي حالة taylor اسم انسان وكذلك اللى هو mclaren اسم انسان اخر", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8032, 3555, 1863, 44510, 10721, 6024, 48506, 8978, 3541, 6225, 8592, 25720, 46811, 7649, 10632, 13672, 7578, 39894, 24401, 12984, 18871, 39224, 6746, 293, 275, 3474, 4484, 2638, 39224, 6746, 1975, 2407, 45030, 11242, 2423, 8315, 3794, 39894, 39648, 39224, 6746, 39224, 6746, 2638, 1975, 2407, 39224, 6746, 2638, 16712, 7649, 7578, 275, 3474, 4484, 2638, 13672, 7578, 43242, 11296, 13672, 7578, 15844, 1975, 1829, 11331, 6027, 3660, 39224, 6746, 24525, 2304, 16472, 3794, 7649, 4032, 4117, 8848, 23275, 13672, 7578, 31439, 275, 3474, 4484, 24525, 2304, 16472, 3794, 7649, 1975, 34740], "avg_logprob": -0.21721814076105753, "compression_ratio": 1.8980582524271845, "no_speech_prob": 0.0, "words": [{"start": 11.9, "end": 12.22, "word": "بسم", "probability": 0.888671875}, {"start": 12.22, "end": 12.4, "word": " الله", "probability": 0.970703125}, {"start": 12.4, "end": 12.86, "word": " الرحمن", "probability": 0.9617513020833334}, {"start": 12.86, "end": 13.38, "word": " الرحيم", "probability": 0.9939778645833334}, {"start": 13.38, "end": 14.86, "word": " هبنبدأ", "probability": 0.7611328125}, {"start": 14.86, "end": 15.38, "word": " الآن", "probability": 0.59503173828125}, {"start": 15.38, "end": 15.84, "word": " في", "probability": 0.8916015625}, {"start": 15.84, "end": 16.28, "word": " section", "probability": 0.728515625}, {"start": 16.28, "end": 16.98, "word": " عشرة", "probability": 0.6526692708333334}, {"start": 16.98, "end": 17.72, "word": " تمانية", "probability": 0.96826171875}, {"start": 17.72, "end": 18.38, "word": " اللى", "probability": 0.754150390625}, {"start": 18.38, "end": 19.02, "word": " بتحدث", "probability": 0.9462890625}, {"start": 19.02, "end": 19.54, "word": " عن", "probability": 0.98828125}, {"start": 19.54, "end": 20.32, "word": " taylor", "probability": 0.780029296875}, {"start": 20.32, "end": 20.72, "word": " and", "probability": 0.86474609375}, {"start": 20.72, "end": 21.38, "word": " mclaren", "probability": 0.7145182291666666}, {"start": 21.38, "end": 22.04, "word": " series", "probability": 0.875}, {"start": 22.04, "end": 23.6, "word": " taylor", "probability": 0.9189453125}, {"start": 23.6, "end": 24.12, "word": " او", "probability": 0.649658203125}, {"start": 24.12, "end": 24.42, "word": " بعض", "probability": 0.949462890625}, {"start": 24.42, "end": 24.66, "word": " الناس", "probability": 0.966796875}, {"start": 24.66, "end": 25.2, "word": " بتقول", "probability": 0.5684814453125}, {"start": 25.2, "end": 25.96, "word": " taylor", "probability": 0.8251953125}, {"start": 25.96, "end": 26.88, "word": " taylor", "probability": 0.83251953125}, {"start": 26.88, "end": 27.7, "word": " series", "probability": 0.91796875}, {"start": 27.7, "end": 28.32, "word": " او", "probability": 0.870361328125}, {"start": 28.32, "end": 28.88, "word": " taylor", "probability": 0.988037109375}, {"start": 28.88, "end": 29.54, "word": " series", "probability": 0.92822265625}, {"start": 29.54, "end": 30.42, "word": " التانى", "probability": 0.8723958333333334}, {"start": 30.42, "end": 31.02, "word": " mclaren", "probability": 0.9161783854166666}, {"start": 31.02, "end": 31.92, "word": " series", "probability": 0.923828125}, {"start": 31.92, "end": 33.64, "word": " اللى", "probability": 0.662841796875}, {"start": 33.64, "end": 33.94, "word": " عندها", "probability": 0.711181640625}, {"start": 33.94, "end": 34.2, "word": " اللى", "probability": 0.533203125}, {"start": 34.2, "end": 34.72, "word": " على", "probability": 0.4951171875}, {"start": 34.72, "end": 34.86, "word": " اي", "probability": 0.763916015625}, {"start": 34.86, "end": 35.62, "word": " حالة", "probability": 0.91552734375}, {"start": 35.62, "end": 36.1, "word": " taylor", "probability": 0.976806640625}, {"start": 36.1, "end": 36.48, "word": " اسم", "probability": 0.934326171875}, {"start": 36.48, "end": 37.12, "word": " انسان", "probability": 0.8865559895833334}, {"start": 37.12, "end": 38.5, "word": " وكذلك", "probability": 0.897705078125}, {"start": 38.5, "end": 38.7, "word": " اللى", "probability": 0.84716796875}, {"start": 38.7, "end": 38.84, "word": " هو", "probability": 0.67138671875}, {"start": 38.84, "end": 39.28, "word": " mclaren", "probability": 0.9342447916666666}, {"start": 39.28, "end": 39.84, "word": " اسم", "probability": 0.955322265625}, {"start": 39.84, "end": 40.62, "word": " انسان", "probability": 0.9296875}, {"start": 40.62, "end": 41.22, "word": " اخر", "probability": 0.8056640625}], "temperature": 1.0}, {"id": 3, "seek": 6813, "start": 41.59, "end": 68.13, "text": "طبعا الاتنين مربطين ببعض بما في المفروقة المفكوكة الاتنين مربطين ببعض كما سنرى بعد قليل في ال section الماضي الشطرة الثانية من ال section الماضي اتكلمنا عن ال differentiation term by term كنشتق term by term وقلنا ان ال functions بقدر احطها على شكل series", "tokens": [9566, 3555, 3615, 995, 2423, 9307, 1863, 9957, 3714, 25513, 9566, 9957, 4724, 3555, 3615, 11242, 4724, 15042, 8978, 9673, 5172, 32887, 28671, 9673, 5172, 4117, 2407, 4117, 3660, 2423, 9307, 1863, 9957, 3714, 25513, 9566, 9957, 4724, 3555, 3615, 11242, 9122, 15042, 8608, 1863, 2288, 7578, 39182, 12174, 20292, 1211, 8978, 2423, 3541, 9673, 46958, 1829, 25124, 9566, 25720, 6024, 104, 7649, 10632, 9154, 2423, 3541, 9673, 46958, 1829, 1975, 2655, 4117, 19528, 8315, 18871, 2423, 38902, 1433, 538, 1433, 9122, 1863, 8592, 2655, 4587, 1433, 538, 1433, 4032, 4587, 1211, 8315, 16472, 2423, 6828, 4724, 28543, 2288, 1975, 5016, 9566, 11296, 15844, 13412, 28820, 2638], "avg_logprob": -0.20008680859097727, "compression_ratio": 1.932367149758454, "no_speech_prob": 0.0, "words": [{"start": 41.59, "end": 42.13, "word": "طبعا", "probability": 0.81640625}, {"start": 42.13, "end": 42.75, "word": " الاتنين", "probability": 0.8453369140625}, {"start": 42.75, "end": 43.79, "word": " مربطين", "probability": 0.8782958984375}, {"start": 43.79, "end": 44.37, "word": " ببعض", "probability": 0.8895263671875}, {"start": 44.37, "end": 44.85, "word": " بما", "probability": 0.744140625}, {"start": 44.85, "end": 45.73, "word": " في", "probability": 0.12939453125}, {"start": 45.73, "end": 46.67, "word": " المفروقة", "probability": 0.8150634765625}, {"start": 46.67, "end": 47.35, "word": " المفكوكة", "probability": 0.81787109375}, {"start": 47.35, "end": 47.83, "word": " الاتنين", "probability": 0.80535888671875}, {"start": 47.83, "end": 48.69, "word": " مربطين", "probability": 0.880615234375}, {"start": 48.69, "end": 49.15, "word": " ببعض", "probability": 0.89404296875}, {"start": 49.15, "end": 49.77, "word": " كما", "probability": 0.946533203125}, {"start": 49.77, "end": 50.61, "word": " سنرى", "probability": 0.8143310546875}, {"start": 50.61, "end": 51.17, "word": " بعد", "probability": 0.8935546875}, {"start": 51.17, "end": 52.05, "word": " قليل", "probability": 0.9915364583333334}, {"start": 52.05, "end": 52.49, "word": " في", "probability": 0.68701171875}, {"start": 52.49, "end": 52.61, "word": " ال", "probability": 0.74169921875}, {"start": 52.61, "end": 52.91, "word": " section", "probability": 0.84228515625}, {"start": 52.91, "end": 53.79, "word": " الماضي", "probability": 0.9060872395833334}, {"start": 53.79, "end": 54.43, "word": " الشطرة", "probability": 0.77685546875}, {"start": 54.43, "end": 54.83, "word": " الثانية", "probability": 0.909423828125}, {"start": 54.83, "end": 54.99, "word": " من", "probability": 0.71826171875}, {"start": 54.99, "end": 55.11, "word": " ال", "probability": 0.82861328125}, {"start": 55.11, "end": 55.41, "word": " section", "probability": 0.66650390625}, {"start": 55.41, "end": 56.07, "word": " الماضي", "probability": 0.8328450520833334}, {"start": 56.07, "end": 57.09, "word": " اتكلمنا", "probability": 0.96044921875}, {"start": 57.09, "end": 57.31, "word": " عن", "probability": 0.9892578125}, {"start": 57.31, "end": 57.47, "word": " ال", "probability": 0.74365234375}, {"start": 57.47, "end": 58.13, "word": " differentiation", "probability": 0.9423828125}, {"start": 58.13, "end": 59.29, "word": " term", "probability": 0.9638671875}, {"start": 59.29, "end": 59.69, "word": " by", "probability": 0.96826171875}, {"start": 59.69, "end": 60.23, "word": " term", "probability": 0.95849609375}, {"start": 60.23, "end": 61.47, "word": " كنشتق", "probability": 0.6572021484375}, {"start": 61.47, "end": 62.05, "word": " term", "probability": 0.9697265625}, {"start": 62.05, "end": 62.41, "word": " by", "probability": 0.98388671875}, {"start": 62.41, "end": 62.83, "word": " term", "probability": 0.95556640625}, {"start": 62.83, "end": 63.95, "word": " وقلنا", "probability": 0.81488037109375}, {"start": 63.95, "end": 64.37, "word": " ان", "probability": 0.841796875}, {"start": 64.37, "end": 64.59, "word": " ال", "probability": 0.73291015625}, {"start": 64.59, "end": 65.13, "word": " functions", "probability": 0.89404296875}, {"start": 65.13, "end": 66.09, "word": " بقدر", "probability": 0.97705078125}, {"start": 66.09, "end": 66.95, "word": " احطها", "probability": 0.9229736328125}, {"start": 66.95, "end": 67.21, "word": " على", "probability": 0.8876953125}, {"start": 67.21, "end": 67.65, "word": " شكل", "probability": 0.988525390625}, {"start": 67.65, "end": 68.13, "word": " series", "probability": 0.78955078125}], "temperature": 1.0}, {"id": 4, "seek": 9645, "start": 68.51, "end": 96.45, "text": "أو العكس سيريز بقدر أحطه على شكل function في هذا ال section سنحاول أن نضع ال functions المختلفة على شكل power series تمام بد الفكرة يبقى الفكرة كالتالي في عندنا definition ال definition الأول بيقول little f be a function with derivatives of all orders", "tokens": [10721, 2407, 18863, 4117, 3794, 8608, 13546, 1829, 11622, 4724, 28543, 2288, 5551, 5016, 9566, 3224, 15844, 13412, 28820, 2445, 8978, 23758, 2423, 3541, 8608, 1863, 5016, 995, 12610, 14739, 8717, 11242, 3615, 2423, 6828, 9673, 46456, 46538, 3660, 15844, 13412, 28820, 1347, 2638, 46811, 10943, 47525, 27188, 4117, 25720, 7251, 3555, 4587, 7578, 27188, 4117, 25720, 9122, 6027, 2655, 6027, 1829, 8978, 43242, 8315, 7123, 2423, 7123, 16247, 12610, 4724, 1829, 39648, 707, 283, 312, 257, 2445, 365, 33733, 295, 439, 9470], "avg_logprob": -0.26134673612458365, "compression_ratio": 1.6026785714285714, "no_speech_prob": 0.0, "words": [{"start": 68.51, "end": 68.89, "word": "أو", "probability": 0.627197265625}, {"start": 68.89, "end": 69.41, "word": " العكس", "probability": 0.8299153645833334}, {"start": 69.41, "end": 69.87, "word": " سيريز", "probability": 0.63690185546875}, {"start": 69.87, "end": 70.21, "word": " بقدر", "probability": 0.71484375}, {"start": 70.21, "end": 70.55, "word": " أحطه", "probability": 0.63916015625}, {"start": 70.55, "end": 70.67, "word": " على", "probability": 0.888671875}, {"start": 70.67, "end": 71.23, "word": " شكل", "probability": 0.972900390625}, {"start": 71.23, "end": 71.89, "word": " function", "probability": 0.541015625}, {"start": 71.89, "end": 72.67, "word": " في", "probability": 0.7763671875}, {"start": 72.67, "end": 73.01, "word": " هذا", "probability": 0.51904296875}, {"start": 73.01, "end": 73.15, "word": " ال", "probability": 0.46875}, {"start": 73.15, "end": 73.41, "word": " section", "probability": 0.4990234375}, {"start": 73.41, "end": 74.35, "word": " سنحاول", "probability": 0.884765625}, {"start": 74.35, "end": 74.67, "word": " أن", "probability": 0.5771484375}, {"start": 74.67, "end": 75.05, "word": " نضع", "probability": 0.9620768229166666}, {"start": 75.05, "end": 75.23, "word": " ال", "probability": 0.95947265625}, {"start": 75.23, "end": 75.95, "word": " functions", "probability": 0.87646484375}, {"start": 75.95, "end": 78.05, "word": " المختلفة", "probability": 0.9884033203125}, {"start": 78.05, "end": 78.61, "word": " على", "probability": 0.93359375}, {"start": 78.61, "end": 79.31, "word": " شكل", "probability": 0.976318359375}, {"start": 79.31, "end": 80.15, "word": " power", "probability": 0.8154296875}, {"start": 80.15, "end": 81.13, "word": " series", "probability": 0.85791015625}, {"start": 81.13, "end": 82.27, "word": " تمام", "probability": 0.879150390625}, {"start": 82.27, "end": 82.99, "word": " بد", "probability": 0.29150390625}, {"start": 82.99, "end": 83.67, "word": " الفكرة", "probability": 0.9256184895833334}, {"start": 83.67, "end": 84.35, "word": " يبقى", "probability": 0.9505615234375}, {"start": 84.35, "end": 84.95, "word": " الفكرة", "probability": 0.9573567708333334}, {"start": 84.95, "end": 86.19, "word": " كالتالي", "probability": 0.84453125}, {"start": 86.19, "end": 86.45, "word": " في", "probability": 0.64306640625}, {"start": 86.45, "end": 86.97, "word": " عندنا", "probability": 0.9267578125}, {"start": 86.97, "end": 87.55, "word": " definition", "probability": 0.89501953125}, {"start": 87.55, "end": 88.47, "word": " ال", "probability": 0.80908203125}, {"start": 88.47, "end": 88.97, "word": " definition", "probability": 0.876953125}, {"start": 88.97, "end": 90.35, "word": " الأول", "probability": 0.96484375}, {"start": 90.35, "end": 91.41, "word": " بيقول", "probability": 0.9568684895833334}, {"start": 91.41, "end": 91.81, "word": " little", "probability": 0.50048828125}, {"start": 91.81, "end": 92.23, "word": " f", "probability": 0.8408203125}, {"start": 92.23, "end": 92.45, "word": " be", "probability": 0.07061767578125}, {"start": 92.45, "end": 92.69, "word": " a", "probability": 0.89990234375}, {"start": 92.69, "end": 93.25, "word": " function", "probability": 0.97705078125}, {"start": 93.25, "end": 93.71, "word": " with", "probability": 0.919921875}, {"start": 93.71, "end": 94.49, "word": " derivatives", "probability": 0.78125}, {"start": 94.49, "end": 95.21, "word": " of", "probability": 0.974609375}, {"start": 95.21, "end": 95.75, "word": " all", "probability": 0.95654296875}, {"start": 95.75, "end": 96.45, "word": " orders", "probability": 0.82177734375}], "temperature": 1.0}, {"id": 5, "seek": 12326, "start": 96.78, "end": 123.26, "text": "هي عندى مشتقات من جميع الرطب، إيش يعنى؟ يعني المشتقة الأولى موجودة والتانية والتالتة والرابعة والمية والألف والمليون إلى ما شاء الله كل المشتقات هذه موجودة exist وين على فترة وهذه الفترة تحتوي النقطة A as an interior point بحيث النقطة دي تبقى نقبة داخلية يعني ليست على الحدود، نقبة في الداخل", "tokens": [3224, 1829, 43242, 7578, 37893, 2655, 4587, 9307, 9154, 10874, 2304, 40228, 34892, 9566, 3555, 12399, 11933, 1829, 8592, 37495, 1863, 7578, 22807, 37495, 22653, 9673, 8592, 2655, 28671, 16247, 12610, 7578, 3714, 29245, 23328, 3660, 16070, 2655, 7649, 10632, 16070, 2655, 6027, 2655, 3660, 16070, 2288, 16758, 27884, 16070, 2304, 10632, 16070, 10721, 46538, 16070, 2304, 20292, 11536, 30731, 19446, 13412, 16606, 21984, 28242, 9673, 8592, 2655, 4587, 9307, 29538, 3714, 29245, 23328, 3660, 2514, 4032, 9957, 15844, 6156, 2655, 25720, 37037, 24192, 27188, 2655, 25720, 6055, 33753, 45865, 28239, 47432, 3660, 316, 382, 364, 10636, 935, 4724, 5016, 1829, 12984, 28239, 47432, 3660, 11778, 1829, 6055, 3555, 4587, 7578, 8717, 4587, 49401, 11778, 47283, 1211, 10632, 37495, 22653, 32239, 14851, 15844, 21542, 3215, 23328, 12399, 8717, 4587, 49401, 8978, 32748, 47283, 1211], "avg_logprob": -0.18240741049801862, "compression_ratio": 1.9538461538461538, "no_speech_prob": 0.0, "words": [{"start": 96.78, "end": 97.18, "word": "هي", "probability": 0.300048828125}, {"start": 97.18, "end": 97.54, "word": " عندى", "probability": 0.55108642578125}, {"start": 97.54, "end": 98.5, "word": " مشتقات", "probability": 0.912109375}, {"start": 98.5, "end": 98.74, "word": " من", "probability": 0.9716796875}, {"start": 98.74, "end": 99.12, "word": " جميع", "probability": 0.994140625}, {"start": 99.12, "end": 99.6, "word": " الرطب،", "probability": 0.7452392578125}, {"start": 99.6, "end": 99.84, "word": " إيش", "probability": 0.6850992838541666}, {"start": 99.84, "end": 100.62, "word": " يعنى؟", "probability": 0.853515625}, {"start": 100.62, "end": 100.92, "word": " يعني", "probability": 0.6392822265625}, {"start": 100.92, "end": 101.44, "word": " المشتقة", "probability": 0.9044189453125}, {"start": 101.44, "end": 101.76, "word": " الأولى", "probability": 0.9072265625}, {"start": 101.76, "end": 102.26, "word": " موجودة", "probability": 0.981201171875}, {"start": 102.26, "end": 102.86, "word": " والتانية", "probability": 0.7047119140625}, {"start": 102.86, "end": 103.38, "word": " والتالتة", "probability": 0.95390625}, {"start": 103.38, "end": 103.88, "word": " والرابعة", "probability": 0.9541015625}, {"start": 103.88, "end": 104.34, "word": " والمية", "probability": 0.9436848958333334}, {"start": 104.34, "end": 104.8, "word": " والألف", "probability": 0.94189453125}, {"start": 104.8, "end": 105.44, "word": " والمليون", "probability": 0.9520263671875}, {"start": 105.44, "end": 106.06, "word": " إلى", "probability": 0.70849609375}, {"start": 106.06, "end": 106.36, "word": " ما", "probability": 0.97509765625}, {"start": 106.36, "end": 106.66, "word": " شاء", "probability": 0.994384765625}, {"start": 106.66, "end": 107.06, "word": " الله", "probability": 0.96435546875}, {"start": 107.06, "end": 107.76, "word": " كل", "probability": 0.492431640625}, {"start": 107.76, "end": 108.78, "word": " المشتقات", "probability": 0.995703125}, {"start": 108.78, "end": 109.28, "word": " هذه", "probability": 0.76025390625}, {"start": 109.28, "end": 110.14, "word": " موجودة", "probability": 0.990478515625}, {"start": 110.14, "end": 110.64, "word": " exist", "probability": 0.54296875}, {"start": 110.64, "end": 111.62, "word": " وين", "probability": 0.537841796875}, {"start": 111.62, "end": 112.26, "word": " على", "probability": 0.8291015625}, {"start": 112.26, "end": 112.94, "word": " فترة", "probability": 0.9943033854166666}, {"start": 112.94, "end": 113.44, "word": " وهذه", "probability": 0.751708984375}, {"start": 113.44, "end": 113.88, "word": " الفترة", "probability": 0.9830729166666666}, {"start": 113.88, "end": 114.58, "word": " تحتوي", "probability": 0.9814453125}, {"start": 114.58, "end": 116.02, "word": " النقطة", "probability": 0.9109700520833334}, {"start": 116.02, "end": 116.34, "word": " A", "probability": 0.431884765625}, {"start": 116.34, "end": 117.04, "word": " as", "probability": 0.77978515625}, {"start": 117.04, "end": 117.4, "word": " an", "probability": 0.8271484375}, {"start": 117.4, "end": 117.82, "word": " interior", "probability": 0.81494140625}, {"start": 117.82, "end": 118.22, "word": " point", "probability": 0.98828125}, {"start": 118.22, "end": 118.56, "word": " بحيث", "probability": 0.82757568359375}, {"start": 118.56, "end": 118.98, "word": " النقطة", "probability": 0.9700520833333334}, {"start": 118.98, "end": 119.08, "word": " دي", "probability": 0.589599609375}, {"start": 119.08, "end": 119.44, "word": " تبقى", "probability": 0.9639892578125}, {"start": 119.44, "end": 119.72, "word": " نقبة", "probability": 0.748779296875}, {"start": 119.72, "end": 120.12, "word": " داخلية", "probability": 0.9664306640625}, {"start": 120.12, "end": 120.32, "word": " يعني", "probability": 0.77978515625}, {"start": 120.32, "end": 120.98, "word": " ليست", "probability": 0.964111328125}, {"start": 120.98, "end": 121.26, "word": " على", "probability": 0.93115234375}, {"start": 121.26, "end": 122.28, "word": " الحدود،", "probability": 0.9166259765625}, {"start": 122.28, "end": 122.62, "word": " نقبة", "probability": 0.92333984375}, {"start": 122.62, "end": 122.8, "word": " في", "probability": 0.89892578125}, {"start": 122.8, "end": 123.26, "word": " الداخل", "probability": 0.9431966145833334}], "temperature": 1.0}, {"id": 6, "seek": 14981, "start": 130.67, "end": 149.81, "text": "الفنشن f of x اللي إلها مشتقات من جميع الرتب بقدر أحطها على شكل power series بالشكل اللي قدامنا هذا summation من n equal zero to infinity لتفاضى الرقم n عند ال a ال x ناقص ال a to the power n على n factorial", "tokens": [6027, 5172, 1863, 8592, 1863, 283, 295, 2031, 13672, 1829, 11933, 1211, 11296, 37893, 2655, 4587, 9307, 9154, 10874, 2304, 40228, 34892, 2655, 3555, 4724, 28543, 2288, 5551, 5016, 9566, 11296, 15844, 13412, 28820, 1347, 2638, 20666, 8592, 28820, 13672, 1829, 12174, 3215, 10943, 8315, 23758, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 2655, 5172, 46958, 7578, 34892, 4587, 2304, 297, 43242, 2423, 257, 2423, 2031, 8717, 995, 4587, 9381, 2423, 257, 281, 264, 1347, 297, 15844, 297, 36916], "avg_logprob": -0.3632330305782365, "compression_ratio": 1.4827586206896552, "no_speech_prob": 0.0, "words": [{"start": 130.67000000000002, "end": 131.27, "word": "الفنشن", "probability": 0.36248779296875}, {"start": 131.27, "end": 131.45, "word": " f", "probability": 0.392822265625}, {"start": 131.45, "end": 131.65, "word": " of", "probability": 0.248291015625}, {"start": 131.65, "end": 131.89, "word": " x", "probability": 0.95849609375}, {"start": 131.89, "end": 132.17, "word": " اللي", "probability": 0.70849609375}, {"start": 132.17, "end": 132.45, "word": " إلها", "probability": 0.5402018229166666}, {"start": 132.45, "end": 133.43, "word": " مشتقات", "probability": 0.76025390625}, {"start": 133.43, "end": 133.67, "word": " من", "probability": 0.9833984375}, {"start": 133.67, "end": 134.13, "word": " جميع", "probability": 0.9889322916666666}, {"start": 134.13, "end": 134.95, "word": " الرتب", "probability": 0.8889973958333334}, {"start": 134.95, "end": 135.77, "word": " بقدر", "probability": 0.9112955729166666}, {"start": 135.77, "end": 136.35, "word": " أحطها", "probability": 0.8988037109375}, {"start": 136.35, "end": 136.59, "word": " على", "probability": 0.89501953125}, {"start": 136.59, "end": 137.05, "word": " شكل", "probability": 0.956787109375}, {"start": 137.05, "end": 137.63, "word": " power", "probability": 0.76953125}, {"start": 137.63, "end": 138.49, "word": " series", "probability": 0.86279296875}, {"start": 138.49, "end": 139.33, "word": " بالشكل", "probability": 0.884765625}, {"start": 139.33, "end": 139.43, "word": " اللي", "probability": 0.984375}, {"start": 139.43, "end": 139.95, "word": " قدامنا", "probability": 0.7650146484375}, {"start": 139.95, "end": 140.17, "word": " هذا", "probability": 0.568359375}, {"start": 140.17, "end": 140.85, "word": " summation", "probability": 0.1884765625}, {"start": 140.85, "end": 141.59, "word": " من", "probability": 0.90380859375}, {"start": 141.59, "end": 141.85, "word": " n", "probability": 0.59619140625}, {"start": 141.85, "end": 142.23, "word": " equal", "probability": 0.1802978515625}, {"start": 142.23, "end": 142.53, "word": " zero", "probability": 0.463134765625}, {"start": 142.53, "end": 142.71, "word": " to", "probability": 0.9365234375}, {"start": 142.71, "end": 143.19, "word": " infinity", "probability": 0.88623046875}, {"start": 143.19, "end": 143.93, "word": " لتفاضى", "probability": 0.75009765625}, {"start": 143.93, "end": 144.45, "word": " الرقم", "probability": 0.9710286458333334}, {"start": 144.45, "end": 144.73, "word": " n", "probability": 0.73193359375}, {"start": 144.73, "end": 145.09, "word": " عند", "probability": 0.9189453125}, {"start": 145.09, "end": 145.35, "word": " ال", "probability": 0.58642578125}, {"start": 145.35, "end": 145.57, "word": " a", "probability": 0.65771484375}, {"start": 145.57, "end": 146.13, "word": " ال", "probability": 0.421875}, {"start": 146.13, "end": 146.35, "word": " x", "probability": 0.72705078125}, {"start": 146.35, "end": 146.77, "word": " ناقص", "probability": 0.8604736328125}, {"start": 146.77, "end": 146.91, "word": " ال", "probability": 0.431884765625}, {"start": 146.91, "end": 147.05, "word": " a", "probability": 0.919921875}, {"start": 147.05, "end": 147.19, "word": " to", "probability": 0.86572265625}, {"start": 147.19, "end": 147.37, "word": " the", "probability": 0.90234375}, {"start": 147.37, "end": 147.67, "word": " power", "probability": 0.90771484375}, {"start": 147.67, "end": 147.95, "word": " n", "probability": 0.75537109375}, {"start": 147.95, "end": 148.23, "word": " على", "probability": 0.70458984375}, {"start": 148.23, "end": 148.77, "word": " n", "probability": 0.8955078125}, {"start": 148.77, "end": 149.81, "word": " factorial", "probability": 0.673828125}], "temperature": 1.0}, {"id": 7, "seek": 17845, "start": 150.29, "end": 178.45, "text": "أو لو حطيت ال N بـ 0 يبقى بيعطيني الدالة قبل الاشتقاق هي F of A Zero بواحد، Zero بواحد بعد Zero بيجيني واحد يبقى حط واحد تعني المشتقة الأولى أُس واحد على واحد factorial المشتقة التانية عند ال A في X نقص A تربيه على اتنين factorial المشتقة التالتة X نقص A كل تكريبة على تلاتة فكرة زائد زائد لوقت مناصل", "tokens": [10721, 2407, 45164, 11331, 9566, 36081, 2423, 426, 4724, 39184, 1958, 7251, 3555, 4587, 7578, 4724, 40228, 9566, 1829, 22653, 32748, 6027, 3660, 12174, 36150, 2423, 33599, 2655, 4587, 995, 4587, 39896, 479, 295, 316, 17182, 4724, 14407, 24401, 12399, 17182, 4724, 14407, 24401, 39182, 17182, 4724, 1829, 7435, 9957, 1829, 36764, 24401, 7251, 3555, 4587, 7578, 11331, 9566, 36764, 24401, 37279, 22653, 9673, 8592, 2655, 28671, 16247, 12610, 7578, 5551, 10859, 3794, 36764, 24401, 15844, 36764, 24401, 36916, 9673, 8592, 2655, 28671, 16712, 7649, 10632, 43242, 2423, 316, 8978, 1783, 8717, 4587, 9381, 316, 6055, 2288, 21292, 3224, 15844, 1975, 2655, 1863, 9957, 36916, 9673, 8592, 2655, 28671, 16712, 6027, 2655, 3660, 1783, 8717, 4587, 9381, 316, 28242, 6055, 4117, 16572, 49401, 15844, 6055, 1211, 9307, 3660, 6156, 4117, 25720, 30767, 16373, 3215, 30767, 16373, 3215, 5296, 30543, 2655, 9154, 33546, 1211], "avg_logprob": -0.2595486003491614, "compression_ratio": 1.9761904761904763, "no_speech_prob": 0.0, "words": [{"start": 150.29, "end": 150.81, "word": "أو", "probability": 0.7313232421875}, {"start": 150.81, "end": 151.15, "word": " لو", "probability": 0.73974609375}, {"start": 151.15, "end": 151.63, "word": " حطيت", "probability": 0.8232421875}, {"start": 151.63, "end": 151.83, "word": " ال", "probability": 0.830078125}, {"start": 151.83, "end": 152.03, "word": " N", "probability": 0.297607421875}, {"start": 152.03, "end": 152.43, "word": " بـ", "probability": 0.56494140625}, {"start": 152.43, "end": 152.79, "word": " 0", "probability": 0.35693359375}, {"start": 152.79, "end": 153.49, "word": " يبقى", "probability": 0.9072265625}, {"start": 153.49, "end": 154.05, "word": " بيعطيني", "probability": 0.77353515625}, {"start": 154.05, "end": 154.85, "word": " الدالة", "probability": 0.9052734375}, {"start": 154.85, "end": 155.39, "word": " قبل", "probability": 0.986572265625}, {"start": 155.39, "end": 156.31, "word": " الاشتقاق", "probability": 0.8131510416666666}, {"start": 156.31, "end": 156.61, "word": " هي", "probability": 0.46240234375}, {"start": 156.61, "end": 157.51, "word": " F", "probability": 0.65869140625}, {"start": 157.51, "end": 157.89, "word": " of", "probability": 0.72998046875}, {"start": 157.89, "end": 158.17, "word": " A", "probability": 0.8818359375}, {"start": 158.17, "end": 158.99, "word": " Zero", "probability": 0.1239013671875}, {"start": 158.99, "end": 159.69, "word": " بواحد،", "probability": 0.76019287109375}, {"start": 159.69, "end": 160.13, "word": " Zero", "probability": 0.798828125}, {"start": 160.13, "end": 160.91, "word": " بواحد", "probability": 0.9938151041666666}, {"start": 160.91, "end": 161.73, "word": " بعد", "probability": 0.474853515625}, {"start": 161.73, "end": 162.05, "word": " Zero", "probability": 0.66259765625}, {"start": 162.05, "end": 162.51, "word": " بيجيني", "probability": 0.89404296875}, {"start": 162.51, "end": 162.91, "word": " واحد", "probability": 0.98779296875}, {"start": 162.91, "end": 163.45, "word": " يبقى", "probability": 0.937255859375}, {"start": 163.45, "end": 163.97, "word": " حط", "probability": 0.6143798828125}, {"start": 163.97, "end": 164.45, "word": " واحد", "probability": 0.984375}, {"start": 164.45, "end": 164.81, "word": " تعني", "probability": 0.68994140625}, {"start": 164.81, "end": 165.85, "word": " المشتقة", "probability": 0.918212890625}, {"start": 165.85, "end": 166.83, "word": " الأولى", "probability": 0.9249674479166666}, {"start": 166.83, "end": 167.19, "word": " أُس", "probability": 0.4500732421875}, {"start": 167.19, "end": 167.53, "word": " واحد", "probability": 0.964599609375}, {"start": 167.53, "end": 167.67, "word": " على", "probability": 0.336669921875}, {"start": 167.67, "end": 167.93, "word": " واحد", "probability": 0.987548828125}, {"start": 167.93, "end": 168.51, "word": " factorial", "probability": 0.61181640625}, {"start": 168.51, "end": 169.53, "word": " المشتقة", "probability": 0.9749755859375}, {"start": 169.53, "end": 169.87, "word": " التانية", "probability": 0.8271484375}, {"start": 169.87, "end": 170.09, "word": " عند", "probability": 0.89990234375}, {"start": 170.09, "end": 170.27, "word": " ال", "probability": 0.8203125}, {"start": 170.27, "end": 170.37, "word": " A", "probability": 0.515625}, {"start": 170.37, "end": 170.49, "word": " في", "probability": 0.611328125}, {"start": 170.49, "end": 170.67, "word": " X", "probability": 0.93310546875}, {"start": 170.67, "end": 171.09, "word": " نقص", "probability": 0.9563802083333334}, {"start": 171.09, "end": 171.25, "word": " A", "probability": 0.93408203125}, {"start": 171.25, "end": 171.67, "word": " تربيه", "probability": 0.780517578125}, {"start": 171.67, "end": 171.81, "word": " على", "probability": 0.89111328125}, {"start": 171.81, "end": 172.15, "word": " اتنين", "probability": 0.8536376953125}, {"start": 172.15, "end": 172.77, "word": " factorial", "probability": 0.80859375}, {"start": 172.77, "end": 173.93, "word": " المشتقة", "probability": 0.988525390625}, {"start": 173.93, "end": 174.43, "word": " التالتة", "probability": 0.9327392578125}, {"start": 174.43, "end": 174.63, "word": " X", "probability": 0.78173828125}, {"start": 174.63, "end": 175.11, "word": " نقص", "probability": 0.9886067708333334}, {"start": 175.11, "end": 175.29, "word": " A", "probability": 0.9775390625}, {"start": 175.29, "end": 175.53, "word": " كل", "probability": 0.86962890625}, {"start": 175.53, "end": 175.97, "word": " تكريبة", "probability": 0.68621826171875}, {"start": 175.97, "end": 176.19, "word": " على", "probability": 0.57568359375}, {"start": 176.19, "end": 176.41, "word": " تلاتة", "probability": 0.8428955078125}, {"start": 176.41, "end": 176.59, "word": " فكرة", "probability": 0.510009765625}, {"start": 176.59, "end": 177.15, "word": " زائد", "probability": 0.6363118489583334}, {"start": 177.15, "end": 177.49, "word": " زائد", "probability": 0.943359375}, {"start": 177.49, "end": 177.81, "word": " لوقت", "probability": 0.8102213541666666}, {"start": 177.81, "end": 178.45, "word": " مناصل", "probability": 0.8961588541666666}], "temperature": 1.0}, {"id": 8, "seek": 20834, "start": 178.84, "end": 208.34, "text": "إلى الحد إنه يتفضل رقم N عند ال A في ال X ناقص ال A to the power N على N factorial زائد زائد إلى ما شاء الله يبقى هذه ال F عليها N بنجوسين لأ تعني إنه F أُس N وانا مقصود بها من المشتقة أنه يبقى المشتقة رقم N للدالة F محسبة عند النقطة A اللي اتكلمنا عليها هذه فوق", "tokens": [28814, 23942, 21542, 3215, 36145, 3224, 7251, 2655, 5172, 11242, 1211, 12602, 4587, 2304, 426, 43242, 2423, 316, 8978, 2423, 1783, 8717, 995, 4587, 9381, 2423, 316, 281, 264, 1347, 426, 15844, 426, 36916, 30767, 16373, 3215, 30767, 16373, 3215, 30731, 19446, 13412, 16606, 21984, 7251, 3555, 4587, 7578, 29538, 2423, 479, 25894, 11296, 426, 44945, 7435, 41779, 9957, 5296, 10721, 37279, 22653, 36145, 3224, 479, 5551, 10859, 3794, 426, 4032, 7649, 995, 3714, 4587, 9381, 23328, 4724, 11296, 9154, 9673, 8592, 2655, 28671, 14739, 3224, 7251, 3555, 4587, 7578, 9673, 8592, 2655, 28671, 12602, 4587, 2304, 426, 24976, 3215, 6027, 3660, 479, 3714, 5016, 35457, 3660, 43242, 28239, 47432, 3660, 316, 13672, 1829, 1975, 2655, 4117, 19528, 8315, 25894, 11296, 29538, 6156, 30543], "avg_logprob": -0.24300000476837158, "compression_ratio": 1.7103174603174602, "no_speech_prob": 0.0, "words": [{"start": 178.84, "end": 179.16, "word": "إلى", "probability": 0.528228759765625}, {"start": 179.16, "end": 179.78, "word": " الحد", "probability": 0.89892578125}, {"start": 179.78, "end": 180.26, "word": " إنه", "probability": 0.4715576171875}, {"start": 180.26, "end": 181.22, "word": " يتفضل", "probability": 0.848828125}, {"start": 181.22, "end": 181.92, "word": " رقم", "probability": 0.9783528645833334}, {"start": 181.92, "end": 182.32, "word": " N", "probability": 0.4892578125}, {"start": 182.32, "end": 182.92, "word": " عند", "probability": 0.92626953125}, {"start": 182.92, "end": 183.26, "word": " ال", "probability": 0.77734375}, {"start": 183.26, "end": 183.68, "word": " A", "probability": 0.277587890625}, {"start": 183.68, "end": 184.22, "word": " في", "probability": 0.6015625}, {"start": 184.22, "end": 184.38, "word": " ال", "probability": 0.70458984375}, {"start": 184.38, "end": 184.56, "word": " X", "probability": 0.8984375}, {"start": 184.56, "end": 185.04, "word": " ناقص", "probability": 0.78961181640625}, {"start": 185.04, "end": 185.14, "word": " ال", "probability": 0.140869140625}, {"start": 185.14, "end": 185.24, "word": " A", "probability": 0.164306640625}, {"start": 185.24, "end": 185.4, "word": " to", "probability": 0.26953125}, {"start": 185.4, "end": 185.56, "word": " the", "probability": 0.88818359375}, {"start": 185.56, "end": 185.8, "word": " power", "probability": 0.83349609375}, {"start": 185.8, "end": 185.96, "word": " N", "probability": 0.80078125}, {"start": 185.96, "end": 186.14, "word": " على", "probability": 0.66796875}, {"start": 186.14, "end": 186.34, "word": " N", "probability": 0.92041015625}, {"start": 186.34, "end": 186.88, "word": " factorial", "probability": 0.5078125}, {"start": 186.88, "end": 187.78, "word": " زائد", "probability": 0.8035481770833334}, {"start": 187.78, "end": 188.2, "word": " زائد", "probability": 0.9363606770833334}, {"start": 188.2, "end": 188.46, "word": " إلى", "probability": 0.93115234375}, {"start": 188.46, "end": 188.7, "word": " ما", "probability": 0.98486328125}, {"start": 188.7, "end": 189.12, "word": " شاء", "probability": 0.99462890625}, {"start": 189.12, "end": 189.52, "word": " الله", "probability": 0.96923828125}, {"start": 189.52, "end": 190.52, "word": " يبقى", "probability": 0.9521484375}, {"start": 190.52, "end": 190.88, "word": " هذه", "probability": 0.83740234375}, {"start": 190.88, "end": 191.1, "word": " ال", "probability": 0.8564453125}, {"start": 191.1, "end": 191.34, "word": " F", "probability": 0.943359375}, {"start": 191.34, "end": 191.92, "word": " عليها", "probability": 0.791259765625}, {"start": 191.92, "end": 192.16, "word": " N", "probability": 0.9375}, {"start": 192.16, "end": 192.9, "word": " بنجوسين", "probability": 0.6650390625}, {"start": 192.9, "end": 193.24, "word": " لأ", "probability": 0.75}, {"start": 193.24, "end": 193.66, "word": " تعني", "probability": 0.870849609375}, {"start": 193.66, "end": 194.04, "word": " إنه", "probability": 0.600341796875}, {"start": 194.04, "end": 194.34, "word": " F", "probability": 0.94384765625}, {"start": 194.34, "end": 194.86, "word": " أُس", "probability": 0.7254231770833334}, {"start": 194.86, "end": 195.3, "word": " N", "probability": 0.96435546875}, {"start": 195.3, "end": 196.02, "word": " وانا", "probability": 0.7235514322916666}, {"start": 196.02, "end": 196.4, "word": " مقصود", "probability": 0.9827880859375}, {"start": 196.4, "end": 196.66, "word": " بها", "probability": 0.9599609375}, {"start": 196.66, "end": 196.96, "word": " من", "probability": 0.57470703125}, {"start": 196.96, "end": 198.28, "word": " المشتقة", "probability": 0.8111572265625}, {"start": 198.28, "end": 198.66, "word": " أنه", "probability": 0.7109375}, {"start": 198.66, "end": 199.06, "word": " يبقى", "probability": 0.9486083984375}, {"start": 199.06, "end": 199.8, "word": " المشتقة", "probability": 0.9578857421875}, {"start": 199.8, "end": 200.66, "word": " رقم", "probability": 0.9832356770833334}, {"start": 200.66, "end": 201.12, "word": " N", "probability": 0.96923828125}, {"start": 201.12, "end": 202.4, "word": " للدالة", "probability": 0.84136962890625}, {"start": 202.4, "end": 202.68, "word": " F", "probability": 0.98486328125}, {"start": 202.68, "end": 204.12, "word": " محسبة", "probability": 0.9046630859375}, {"start": 204.12, "end": 204.7, "word": " عند", "probability": 0.98779296875}, {"start": 204.7, "end": 205.7, "word": " النقطة", "probability": 0.98046875}, {"start": 205.7, "end": 206.02, "word": " A", "probability": 0.953125}, {"start": 206.02, "end": 206.52, "word": " اللي", "probability": 0.84619140625}, {"start": 206.52, "end": 207.18, "word": " اتكلمنا", "probability": 0.93779296875}, {"start": 207.18, "end": 207.62, "word": " عليها", "probability": 0.98095703125}, {"start": 207.62, "end": 207.94, "word": " هذه", "probability": 0.60009765625}, {"start": 207.94, "end": 208.34, "word": " فوق", "probability": 0.5936279296875}], "temperature": 1.0}, {"id": 9, "seek": 22129, "start": 210.13, "end": 221.29, "text": "هذه اسمها taylor series لو انا وجفت لحد هنا و قلت بدي اخد هذه بس لحد هنا", "tokens": [3224, 24192, 24525, 2304, 11296, 39224, 6746, 2638, 45164, 1975, 8315, 49610, 5172, 2655, 5296, 24401, 34105, 4032, 12174, 1211, 2655, 4724, 16254, 1975, 9778, 3215, 29538, 4724, 3794, 5296, 24401, 34105], "avg_logprob": -0.4112215909090909, "compression_ratio": 1.2340425531914894, "no_speech_prob": 0.0, "words": [{"start": 210.13, "end": 211.25, "word": "هذه", "probability": 0.50640869140625}, {"start": 211.25, "end": 212.37, "word": " اسمها", "probability": 0.8855794270833334}, {"start": 212.37, "end": 213.25, "word": " taylor", "probability": 0.5948486328125}, {"start": 213.25, "end": 214.07, "word": " series", "probability": 0.87060546875}, {"start": 214.07, "end": 215.11, "word": " لو", "probability": 0.451171875}, {"start": 215.11, "end": 215.45, "word": " انا", "probability": 0.6494140625}, {"start": 215.45, "end": 215.97, "word": " وجفت", "probability": 0.7528483072916666}, {"start": 215.97, "end": 216.41, "word": " لحد", "probability": 0.788330078125}, {"start": 216.41, "end": 216.75, "word": " هنا", "probability": 0.97998046875}, {"start": 216.75, "end": 217.39, "word": " و", "probability": 0.362548828125}, {"start": 217.39, "end": 218.35, "word": " قلت", "probability": 0.8313802083333334}, {"start": 218.35, "end": 218.63, "word": " بدي", "probability": 0.27655029296875}, {"start": 218.63, "end": 219.01, "word": " اخد", "probability": 0.8460286458333334}, {"start": 219.01, "end": 219.43, "word": " هذه", "probability": 0.7021484375}, {"start": 219.43, "end": 220.39, "word": " بس", "probability": 0.752685546875}, {"start": 220.39, "end": 220.95, "word": " لحد", "probability": 0.984619140625}, {"start": 220.95, "end": 221.29, "word": " هنا", "probability": 0.990234375}], "temperature": 1.0}, {"id": 10, "seek": 25160, "start": 223.36, "end": 251.6, "text": "طبعاً، شو اسمها هذه؟ هذه كثيرة حدود صحيح ولا لأ؟ يبقى هذه اسمها taylor polynomial كثيرة حدود taylor يبقى هذه اسمها taylor polynomial كثيرة حدود taylor من حط زائد ونقط وضل ماشين يبقى هذه taylor series", "tokens": [9566, 3555, 3615, 995, 14111, 12399, 13412, 2407, 24525, 2304, 11296, 29538, 22807, 29538, 9122, 12984, 48923, 11331, 3215, 23328, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 7251, 3555, 4587, 7578, 29538, 24525, 2304, 11296, 39224, 6746, 26110, 9122, 12984, 48923, 11331, 3215, 23328, 39224, 6746, 7251, 3555, 4587, 7578, 29538, 24525, 2304, 11296, 39224, 6746, 26110, 9122, 12984, 48923, 11331, 3215, 23328, 39224, 6746, 9154, 11331, 9566, 30767, 16373, 3215, 4032, 1863, 47432, 4032, 11242, 1211, 3714, 33599, 9957, 7251, 3555, 4587, 7578, 29538, 39224, 6746, 2638], "avg_logprob": -0.19843749321169324, "compression_ratio": 1.9430379746835442, "no_speech_prob": 0.0, "words": [{"start": 223.36, "end": 224.38, "word": "طبعاً،", "probability": 0.6301472981770834}, {"start": 224.38, "end": 224.64, "word": " شو", "probability": 0.661376953125}, {"start": 224.64, "end": 225.08, "word": " اسمها", "probability": 0.9093424479166666}, {"start": 225.08, "end": 225.86, "word": " هذه؟", "probability": 0.83056640625}, {"start": 225.86, "end": 226.46, "word": " هذه", "probability": 0.476806640625}, {"start": 226.46, "end": 226.96, "word": " كثيرة", "probability": 0.9532877604166666}, {"start": 226.96, "end": 227.52, "word": " حدود", "probability": 0.9855143229166666}, {"start": 227.52, "end": 228.14, "word": " صحيح", "probability": 0.83587646484375}, {"start": 228.14, "end": 228.3, "word": " ولا", "probability": 0.88232421875}, {"start": 228.3, "end": 229.0, "word": " لأ؟", "probability": 0.8268229166666666}, {"start": 229.0, "end": 229.36, "word": " يبقى", "probability": 0.9444580078125}, {"start": 229.36, "end": 229.66, "word": " هذه", "probability": 0.81005859375}, {"start": 229.66, "end": 230.56, "word": " اسمها", "probability": 0.9820963541666666}, {"start": 230.56, "end": 231.52, "word": " taylor", "probability": 0.570556640625}, {"start": 231.52, "end": 232.52, "word": " polynomial", "probability": 0.8935546875}, {"start": 232.52, "end": 233.54, "word": " كثيرة", "probability": 0.9000651041666666}, {"start": 233.54, "end": 234.18, "word": " حدود", "probability": 0.9930013020833334}, {"start": 234.18, "end": 234.76, "word": " taylor", "probability": 0.6783447265625}, {"start": 234.76, "end": 235.66, "word": " يبقى", "probability": 0.9307861328125}, {"start": 235.66, "end": 236.04, "word": " هذه", "probability": 0.92529296875}, {"start": 236.04, "end": 236.96, "word": " اسمها", "probability": 0.9879557291666666}, {"start": 236.96, "end": 238.12, "word": " taylor", "probability": 0.984375}, {"start": 238.12, "end": 239.9, "word": " polynomial", "probability": 0.95751953125}, {"start": 239.9, "end": 244.06, "word": " كثيرة", "probability": 0.9596354166666666}, {"start": 244.06, "end": 244.8, "word": " حدود", "probability": 0.9939778645833334}, {"start": 244.8, "end": 245.34, "word": " taylor", "probability": 0.98583984375}, {"start": 245.34, "end": 246.28, "word": " من", "probability": 0.446533203125}, {"start": 246.28, "end": 246.66, "word": " حط", "probability": 0.840576171875}, {"start": 246.66, "end": 247.34, "word": " زائد", "probability": 0.88037109375}, {"start": 247.34, "end": 248.16, "word": " ونقط", "probability": 0.7096354166666666}, {"start": 248.16, "end": 248.62, "word": " وضل", "probability": 0.7648111979166666}, {"start": 248.62, "end": 249.32, "word": " ماشين", "probability": 0.7117513020833334}, {"start": 249.32, "end": 250.06, "word": " يبقى", "probability": 0.9215087890625}, {"start": 250.06, "end": 250.44, "word": " هذه", "probability": 0.90576171875}, {"start": 250.44, "end": 251.1, "word": " taylor", "probability": 0.97509765625}, {"start": 251.1, "end": 251.6, "word": " series", "probability": 0.91796875}], "temperature": 1.0}, {"id": 11, "seek": 27543, "start": 253.67, "end": 275.43, "text": "هذه هي الاصل لو جيت على taylor series وشيلت له وحطيت مكانها zero f التي تساوي zero بنحصل على maclaurin series يعني ايش maclaurin series الدالة f of x بقدر اكتبها على ال summation من n equal zero to infinity للتفاضل رقم n عندي ال zero", "tokens": [3224, 24192, 39896, 2423, 33546, 1211, 45164, 10874, 36081, 15844, 39224, 6746, 2638, 4032, 8592, 26895, 2655, 46740, 4032, 5016, 9566, 36081, 3714, 41361, 11296, 4018, 283, 38392, 6055, 3794, 995, 45865, 4018, 44945, 5016, 36520, 15844, 7912, 875, 374, 259, 2638, 37495, 22653, 1975, 1829, 8592, 7912, 875, 374, 259, 2638, 32748, 6027, 3660, 283, 295, 2031, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 15844, 2423, 28811, 9154, 297, 2681, 4018, 281, 13202, 24976, 2655, 5172, 46958, 1211, 12602, 4587, 2304, 297, 43242, 1829, 2423, 4018], "avg_logprob": -0.3799157437313809, "compression_ratio": 1.544186046511628, "no_speech_prob": 0.0, "words": [{"start": 253.67000000000002, "end": 254.55, "word": "هذه", "probability": 0.34222412109375}, {"start": 254.55, "end": 254.81, "word": " هي", "probability": 0.76806640625}, {"start": 254.81, "end": 255.33, "word": " الاصل", "probability": 0.70703125}, {"start": 255.33, "end": 255.61, "word": " لو", "probability": 0.17041015625}, {"start": 255.61, "end": 256.07, "word": " جيت", "probability": 0.896484375}, {"start": 256.07, "end": 256.31, "word": " على", "probability": 0.8896484375}, {"start": 256.31, "end": 256.85, "word": " taylor", "probability": 0.6806640625}, {"start": 256.85, "end": 257.33, "word": " series", "probability": 0.8125}, {"start": 257.33, "end": 257.99, "word": " وشيلت", "probability": 0.669342041015625}, {"start": 257.99, "end": 258.19, "word": " له", "probability": 0.68798828125}, {"start": 258.19, "end": 258.77, "word": " وحطيت", "probability": 0.8228759765625}, {"start": 258.77, "end": 259.39, "word": " مكانها", "probability": 0.9765625}, {"start": 259.39, "end": 259.85, "word": " zero", "probability": 0.389892578125}, {"start": 259.85, "end": 260.59, "word": " f", "probability": 0.204345703125}, {"start": 260.59, "end": 260.89, "word": " التي", "probability": 0.348876953125}, {"start": 260.89, "end": 261.39, "word": " تساوي", "probability": 0.76806640625}, {"start": 261.39, "end": 261.75, "word": " zero", "probability": 0.419677734375}, {"start": 261.75, "end": 262.77, "word": " بنحصل", "probability": 0.8697916666666666}, {"start": 262.77, "end": 263.15, "word": " على", "probability": 0.9287109375}, {"start": 263.15, "end": 264.43, "word": " maclaurin", "probability": 0.70703125}, {"start": 264.43, "end": 265.09, "word": " series", "probability": 0.88330078125}, {"start": 265.09, "end": 265.51, "word": " يعني", "probability": 0.864990234375}, {"start": 265.51, "end": 265.77, "word": " ايش", "probability": 0.7203776041666666}, {"start": 265.77, "end": 266.37, "word": " maclaurin", "probability": 0.78875732421875}, {"start": 266.37, "end": 266.83, "word": " series", "probability": 0.91845703125}, {"start": 266.83, "end": 267.87, "word": " الدالة", "probability": 0.519775390625}, {"start": 267.87, "end": 268.07, "word": " f", "probability": 0.86474609375}, {"start": 268.07, "end": 268.25, "word": " of", "probability": 0.62109375}, {"start": 268.25, "end": 268.49, "word": " x", "probability": 0.9189453125}, {"start": 268.49, "end": 268.89, "word": " بقدر", "probability": 0.8841145833333334}, {"start": 268.89, "end": 269.25, "word": " اكتبها", "probability": 0.828173828125}, {"start": 269.25, "end": 269.39, "word": " على", "probability": 0.9208984375}, {"start": 269.39, "end": 269.53, "word": " ال", "probability": 0.78564453125}, {"start": 269.53, "end": 269.99, "word": " summation", "probability": 0.8876953125}, {"start": 269.99, "end": 270.27, "word": " من", "probability": 0.9541015625}, {"start": 270.27, "end": 270.53, "word": " n", "probability": 0.818359375}, {"start": 270.53, "end": 270.81, "word": " equal", "probability": 0.489013671875}, {"start": 270.81, "end": 271.11, "word": " zero", "probability": 0.67333984375}, {"start": 271.11, "end": 271.25, "word": " to", "probability": 0.95654296875}, {"start": 271.25, "end": 271.83, "word": " infinity", "probability": 0.90283203125}, {"start": 271.83, "end": 273.19, "word": " للتفاضل", "probability": 0.875390625}, {"start": 273.19, "end": 273.75, "word": " رقم", "probability": 0.8196614583333334}, {"start": 273.75, "end": 274.11, "word": " n", "probability": 0.642578125}, {"start": 274.11, "end": 274.77, "word": " عندي", "probability": 0.655517578125}, {"start": 274.77, "end": 274.95, "word": " ال", "probability": 0.285400390625}, {"start": 274.95, "end": 275.43, "word": " zero", "probability": 0.7041015625}], "temperature": 1.0}, {"id": 12, "seek": 29882, "start": 275.82, "end": 298.82, "text": "بعد ذلك ال a راحت و لا تبقى الا x to the power n على مين على n factorial يبقى f of zero f prime of zero x على واحد factorial f double prime of zero x تربيه على اتنين factorial نبقى ماشي لغاية التفاضة الرقم n عند zero ل x to the power n على n factorial و بزايد زايد إلى اخره", "tokens": [3555, 22488, 29910, 23275, 2423, 257, 12602, 39319, 2655, 4032, 20193, 6055, 3555, 4587, 7578, 42963, 2031, 281, 264, 1347, 297, 15844, 3714, 9957, 15844, 297, 36916, 7251, 3555, 4587, 7578, 283, 295, 4018, 283, 5835, 295, 4018, 2031, 15844, 36764, 24401, 36916, 283, 3834, 5835, 295, 4018, 2031, 6055, 2288, 21292, 3224, 15844, 1975, 2655, 1863, 9957, 36916, 8717, 3555, 4587, 7578, 3714, 33599, 1829, 5296, 17082, 995, 10632, 16712, 5172, 46958, 3660, 34892, 4587, 2304, 297, 43242, 4018, 5296, 2031, 281, 264, 1347, 297, 15844, 297, 36916, 4032, 4724, 11622, 995, 25708, 30767, 995, 25708, 30731, 1975, 34740, 3224], "avg_logprob": -0.34742648139888166, "compression_ratio": 1.8480392156862746, "no_speech_prob": 0.0, "words": [{"start": 275.82, "end": 276.34, "word": "بعد", "probability": 0.7052001953125}, {"start": 276.34, "end": 276.54, "word": " ذلك", "probability": 0.742919921875}, {"start": 276.54, "end": 276.7, "word": " ال", "probability": 0.505859375}, {"start": 276.7, "end": 276.96, "word": " a", "probability": 0.35302734375}, {"start": 276.96, "end": 277.56, "word": " راحت", "probability": 0.6883138020833334}, {"start": 277.56, "end": 277.7, "word": " و", "probability": 0.3369140625}, {"start": 277.7, "end": 277.7, "word": " لا", "probability": 0.32080078125}, {"start": 277.7, "end": 278.0, "word": " تبقى", "probability": 0.73968505859375}, {"start": 278.0, "end": 278.44, "word": " الا", "probability": 0.50927734375}, {"start": 278.44, "end": 278.94, "word": " x", "probability": 0.65625}, {"start": 278.94, "end": 279.18, "word": " to", "probability": 0.20458984375}, {"start": 279.18, "end": 279.38, "word": " the", "probability": 0.87939453125}, {"start": 279.38, "end": 279.78, "word": " power", "probability": 0.88916015625}, {"start": 279.78, "end": 280.04, "word": " n", "probability": 0.52783203125}, {"start": 280.04, "end": 280.26, "word": " على", "probability": 0.61962890625}, {"start": 280.26, "end": 280.66, "word": " مين", "probability": 0.509521484375}, {"start": 280.66, "end": 281.32, "word": " على", "probability": 0.70703125}, {"start": 281.32, "end": 281.56, "word": " n", "probability": 0.85888671875}, {"start": 281.56, "end": 282.2, "word": " factorial", "probability": 0.61083984375}, {"start": 282.2, "end": 283.0, "word": " يبقى", "probability": 0.799072265625}, {"start": 283.0, "end": 283.28, "word": " f", "probability": 0.76318359375}, {"start": 283.28, "end": 283.64, "word": " of", "probability": 0.85498046875}, {"start": 283.64, "end": 284.14, "word": " zero", "probability": 0.70166015625}, {"start": 284.14, "end": 284.46, "word": " f", "probability": 0.489013671875}, {"start": 284.46, "end": 284.9, "word": " prime", "probability": 0.87353515625}, {"start": 284.9, "end": 285.08, "word": " of", "probability": 0.3984375}, {"start": 285.08, "end": 285.4, "word": " zero", "probability": 0.8876953125}, {"start": 285.4, "end": 285.78, "word": " x", "probability": 0.91796875}, {"start": 285.78, "end": 286.04, "word": " على", "probability": 0.537109375}, {"start": 286.04, "end": 286.4, "word": " واحد", "probability": 0.969482421875}, {"start": 286.4, "end": 287.0, "word": " factorial", "probability": 0.8291015625}, {"start": 287.0, "end": 287.68, "word": " f", "probability": 0.80908203125}, {"start": 287.68, "end": 287.96, "word": " double", "probability": 0.859375}, {"start": 287.96, "end": 288.38, "word": " prime", "probability": 0.9072265625}, {"start": 288.38, "end": 288.62, "word": " of", "probability": 0.96826171875}, {"start": 288.62, "end": 288.98, "word": " zero", "probability": 0.90576171875}, {"start": 288.98, "end": 289.26, "word": " x", "probability": 0.9775390625}, {"start": 289.26, "end": 289.62, "word": " تربيه", "probability": 0.8065185546875}, {"start": 289.62, "end": 289.76, "word": " على", "probability": 0.9306640625}, {"start": 289.76, "end": 290.1, "word": " اتنين", "probability": 0.94189453125}, {"start": 290.1, "end": 290.76, "word": " factorial", "probability": 0.736328125}, {"start": 290.76, "end": 291.48, "word": " نبقى", "probability": 0.60882568359375}, {"start": 291.48, "end": 291.78, "word": " ماشي", "probability": 0.571044921875}, {"start": 291.78, "end": 292.04, "word": " لغاية", "probability": 0.965087890625}, {"start": 292.04, "end": 292.6, "word": " التفاضة", "probability": 0.715576171875}, {"start": 292.6, "end": 293.12, "word": " الرقم", "probability": 0.816650390625}, {"start": 293.12, "end": 293.32, "word": " n", "probability": 0.305419921875}, {"start": 293.32, "end": 293.6, "word": " عند", "probability": 0.60595703125}, {"start": 293.6, "end": 293.94, "word": " zero", "probability": 0.70703125}, {"start": 293.94, "end": 294.08, "word": " ل", "probability": 0.71337890625}, {"start": 294.08, "end": 294.24, "word": " x", "probability": 0.5546875}, {"start": 294.24, "end": 294.4, "word": " to", "probability": 0.95556640625}, {"start": 294.4, "end": 294.54, "word": " the", "probability": 0.88916015625}, {"start": 294.54, "end": 294.8, "word": " power", "probability": 0.88720703125}, {"start": 294.8, "end": 295.14, "word": " n", "probability": 0.85791015625}, {"start": 295.14, "end": 295.74, "word": " على", "probability": 0.802734375}, {"start": 295.74, "end": 296.08, "word": " n", "probability": 0.94873046875}, {"start": 296.08, "end": 296.7, "word": " factorial", "probability": 0.87890625}, {"start": 296.7, "end": 296.9, "word": " و", "probability": 0.84765625}, {"start": 296.9, "end": 297.64, "word": " بزايد", "probability": 0.727294921875}, {"start": 297.64, "end": 298.06, "word": " زايد", "probability": 0.95361328125}, {"start": 298.06, "end": 298.28, "word": " إلى", "probability": 0.5078125}, {"start": 298.28, "end": 298.82, "word": " اخره", "probability": 0.7716471354166666}], "temperature": 1.0}, {"id": 13, "seek": 32713, "start": 299.07, "end": 327.13, "text": "وبالتالي تمكنت من كتابة ال function على شكل من؟ على شكل series بس مش كل function بقدر أكتبها بالشكل هذا، وإنما ال functions اللي إلها مشتقات من جميع الرتب، لكن بعض ال functions بتكمل بعد مشتقتين، تلاتة، يبقى هذه بيسميها Taylor polynomial وليس Taylor series مثال وذلك، لو قلت لك F of X يسوي X تقعيد", "tokens": [37746, 6027, 2655, 6027, 1829, 46811, 19452, 2655, 9154, 9122, 2655, 16758, 3660, 2423, 2445, 15844, 13412, 28820, 9154, 22807, 15844, 13412, 28820, 2638, 4724, 3794, 37893, 28242, 2445, 4724, 28543, 2288, 5551, 4117, 2655, 3555, 11296, 20666, 8592, 28820, 23758, 12399, 4032, 28814, 1863, 15042, 2423, 6828, 13672, 1829, 11933, 1211, 11296, 37893, 2655, 4587, 9307, 9154, 10874, 2304, 40228, 34892, 2655, 3555, 12399, 44381, 45030, 11242, 2423, 6828, 39894, 24793, 1211, 39182, 37893, 2655, 38149, 9957, 12399, 6055, 1211, 9307, 3660, 12399, 7251, 3555, 4587, 7578, 29538, 4724, 1829, 38251, 1829, 11296, 12060, 26110, 4032, 20292, 3794, 12060, 2638, 50113, 6027, 4032, 8848, 23275, 12399, 45164, 12174, 1211, 2655, 5296, 4117, 479, 295, 1783, 7251, 3794, 45865, 1783, 6055, 4587, 3615, 25708], "avg_logprob": -0.22062499284744264, "compression_ratio": 1.7453183520599251, "no_speech_prob": 0.0, "words": [{"start": 299.07, "end": 299.87, "word": "وبالتالي", "probability": 0.852099609375}, {"start": 299.87, "end": 300.97, "word": " تمكنت", "probability": 0.8834635416666666}, {"start": 300.97, "end": 301.21, "word": " من", "probability": 0.984375}, {"start": 301.21, "end": 301.95, "word": " كتابة", "probability": 0.9971923828125}, {"start": 301.95, "end": 302.17, "word": " ال", "probability": 0.93994140625}, {"start": 302.17, "end": 302.59, "word": " function", "probability": 0.480712890625}, {"start": 302.59, "end": 303.29, "word": " على", "probability": 0.8642578125}, {"start": 303.29, "end": 303.89, "word": " شكل", "probability": 0.977783203125}, {"start": 303.89, "end": 304.67, "word": " من؟", "probability": 0.6710205078125}, {"start": 304.67, "end": 305.03, "word": " على", "probability": 0.83203125}, {"start": 305.03, "end": 305.73, "word": " شكل", "probability": 0.974609375}, {"start": 305.73, "end": 306.63, "word": " series", "probability": 0.7060546875}, {"start": 306.63, "end": 307.35, "word": " بس", "probability": 0.775390625}, {"start": 307.35, "end": 307.55, "word": " مش", "probability": 0.97900390625}, {"start": 307.55, "end": 307.79, "word": " كل", "probability": 0.97412109375}, {"start": 307.79, "end": 308.29, "word": " function", "probability": 0.9345703125}, {"start": 308.29, "end": 308.69, "word": " بقدر", "probability": 0.9334309895833334}, {"start": 308.69, "end": 309.07, "word": " أكتبها", "probability": 0.81533203125}, {"start": 309.07, "end": 309.53, "word": " بالشكل", "probability": 0.8883463541666666}, {"start": 309.53, "end": 309.93, "word": " هذا،", "probability": 0.541015625}, {"start": 309.93, "end": 310.57, "word": " وإنما", "probability": 0.854248046875}, {"start": 310.57, "end": 311.27, "word": " ال", "probability": 0.97119140625}, {"start": 311.27, "end": 311.99, "word": " functions", "probability": 0.91748046875}, {"start": 311.99, "end": 312.53, "word": " اللي", "probability": 0.968017578125}, {"start": 312.53, "end": 312.95, "word": " إلها", "probability": 0.68017578125}, {"start": 312.95, "end": 314.13, "word": " مشتقات", "probability": 0.92041015625}, {"start": 314.13, "end": 314.39, "word": " من", "probability": 0.9931640625}, {"start": 314.39, "end": 314.97, "word": " جميع", "probability": 0.9951171875}, {"start": 314.97, "end": 315.83, "word": " الرتب،", "probability": 0.69549560546875}, {"start": 315.83, "end": 316.33, "word": " لكن", "probability": 0.97900390625}, {"start": 316.33, "end": 316.73, "word": " بعض", "probability": 0.982421875}, {"start": 316.73, "end": 316.87, "word": " ال", "probability": 0.98828125}, {"start": 316.87, "end": 317.29, "word": " functions", "probability": 0.94091796875}, {"start": 317.29, "end": 317.97, "word": " بتكمل", "probability": 0.9189453125}, {"start": 317.97, "end": 318.23, "word": " بعد", "probability": 0.95263671875}, {"start": 318.23, "end": 319.07, "word": " مشتقتين،", "probability": 0.870703125}, {"start": 319.07, "end": 319.97, "word": " تلاتة،", "probability": 0.90087890625}, {"start": 319.97, "end": 320.21, "word": " يبقى", "probability": 0.91796875}, {"start": 320.21, "end": 320.43, "word": " هذه", "probability": 0.701171875}, {"start": 320.43, "end": 320.87, "word": " بيسميها", "probability": 0.86533203125}, {"start": 320.87, "end": 321.37, "word": " Taylor", "probability": 0.2235107421875}, {"start": 321.37, "end": 322.19, "word": " polynomial", "probability": 0.7568359375}, {"start": 322.19, "end": 322.95, "word": " وليس", "probability": 0.9410807291666666}, {"start": 322.95, "end": 323.31, "word": " Taylor", "probability": 0.654296875}, {"start": 323.31, "end": 323.55, "word": " series", "probability": 0.80322265625}, {"start": 323.55, "end": 323.93, "word": " مثال", "probability": 0.679931640625}, {"start": 323.93, "end": 324.93, "word": " وذلك،", "probability": 0.75732421875}, {"start": 324.93, "end": 325.11, "word": " لو", "probability": 0.326171875}, {"start": 325.11, "end": 325.33, "word": " قلت", "probability": 0.7913411458333334}, {"start": 325.33, "end": 325.49, "word": " لك", "probability": 0.7418212890625}, {"start": 325.49, "end": 325.65, "word": " F", "probability": 0.357666015625}, {"start": 325.65, "end": 325.83, "word": " of", "probability": 0.54931640625}, {"start": 325.83, "end": 326.01, "word": " X", "probability": 0.9619140625}, {"start": 326.01, "end": 326.35, "word": " يسوي", "probability": 0.6232096354166666}, {"start": 326.35, "end": 326.65, "word": " X", "probability": 0.98193359375}, {"start": 326.65, "end": 327.13, "word": " تقعيد", "probability": 0.64105224609375}], "temperature": 1.0}, {"id": 14, "seek": 34979, "start": 328.61, "end": 349.79, "text": "أول مرة بضيين ثلاثة X تربيع، ثانية مرة ستة X، تالت مرة ستة الرعب ع Zero، يبقى خلصنا، بخلصت، مظبوط؟ لكن لما يكون إلى مشتقات من جميع الرتب، بتبقى اللي ماشية إلى مالها نهاية، و بتبطل السير Polynomial وإنما بتكون مالها بتكون Serious", "tokens": [10721, 12610, 3714, 25720, 4724, 11242, 1829, 9957, 38637, 1211, 5718, 104, 3660, 1783, 6055, 25513, 40228, 12399, 38637, 7649, 10632, 3714, 25720, 8608, 2655, 3660, 1783, 12399, 6055, 6027, 2655, 3714, 25720, 8608, 2655, 3660, 34892, 3615, 3555, 6225, 17182, 12399, 7251, 3555, 4587, 7578, 16490, 1211, 9381, 8315, 12399, 4724, 9778, 1211, 9381, 2655, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 44381, 5296, 15042, 7251, 30544, 30731, 37893, 2655, 4587, 9307, 9154, 10874, 2304, 40228, 34892, 2655, 3555, 12399, 39894, 3555, 4587, 7578, 13672, 1829, 3714, 33599, 10632, 30731, 3714, 6027, 11296, 8717, 11296, 10632, 12399, 4032, 39894, 3555, 9566, 1211, 21136, 13546, 3635, 2534, 47429, 4032, 28814, 1863, 15042, 39894, 30544, 3714, 6027, 11296, 39894, 30544, 4210, 851], "avg_logprob": -0.3253073758277737, "compression_ratio": 1.7300884955752212, "no_speech_prob": 0.0, "words": [{"start": 328.61, "end": 329.05, "word": "أول", "probability": 0.66357421875}, {"start": 329.05, "end": 329.29, "word": " مرة", "probability": 0.985595703125}, {"start": 329.29, "end": 329.65, "word": " بضيين", "probability": 0.442626953125}, {"start": 329.65, "end": 330.03, "word": " ثلاثة", "probability": 0.761181640625}, {"start": 330.03, "end": 330.17, "word": " X", "probability": 0.419677734375}, {"start": 330.17, "end": 331.11, "word": " تربيع،", "probability": 0.61126708984375}, {"start": 331.11, "end": 331.47, "word": " ثانية", "probability": 0.8304036458333334}, {"start": 331.47, "end": 331.75, "word": " مرة", "probability": 0.978759765625}, {"start": 331.75, "end": 332.75, "word": " ستة", "probability": 0.91455078125}, {"start": 332.75, "end": 333.49, "word": " X،", "probability": 0.86767578125}, {"start": 333.49, "end": 334.01, "word": " تالت", "probability": 0.8406575520833334}, {"start": 334.01, "end": 334.39, "word": " مرة", "probability": 0.94775390625}, {"start": 334.39, "end": 334.85, "word": " ستة", "probability": 0.9798177083333334}, {"start": 334.85, "end": 335.25, "word": " الرعب", "probability": 0.63623046875}, {"start": 335.25, "end": 335.43, "word": " ع", "probability": 0.485107421875}, {"start": 335.43, "end": 336.93, "word": " Zero،", "probability": 0.55859375}, {"start": 336.93, "end": 337.23, "word": " يبقى", "probability": 0.710174560546875}, {"start": 337.23, "end": 338.11, "word": " خلصنا،", "probability": 0.890234375}, {"start": 338.11, "end": 339.23, "word": " بخلصت،", "probability": 0.8060709635416666}, {"start": 339.23, "end": 340.11, "word": " مظبوط؟", "probability": 0.7150472005208334}, {"start": 340.11, "end": 340.39, "word": " لكن", "probability": 0.8525390625}, {"start": 340.39, "end": 340.67, "word": " لما", "probability": 0.917236328125}, {"start": 340.67, "end": 340.95, "word": " يكون", "probability": 0.95361328125}, {"start": 340.95, "end": 341.19, "word": " إلى", "probability": 0.2666015625}, {"start": 341.19, "end": 341.83, "word": " مشتقات", "probability": 0.8070068359375}, {"start": 341.83, "end": 342.03, "word": " من", "probability": 0.9755859375}, {"start": 342.03, "end": 342.35, "word": " جميع", "probability": 0.99462890625}, {"start": 342.35, "end": 342.83, "word": " الرتب،", "probability": 0.697021484375}, {"start": 342.83, "end": 343.19, "word": " بتبقى", "probability": 0.9156494140625}, {"start": 343.19, "end": 343.27, "word": " اللي", "probability": 0.56109619140625}, {"start": 343.27, "end": 343.73, "word": " ماشية", "probability": 0.8562825520833334}, {"start": 343.73, "end": 344.01, "word": " إلى", "probability": 0.73681640625}, {"start": 344.01, "end": 344.27, "word": " مالها", "probability": 0.861328125}, {"start": 344.27, "end": 345.11, "word": " نهاية،", "probability": 0.7567138671875}, {"start": 345.11, "end": 345.17, "word": " و", "probability": 0.6494140625}, {"start": 345.17, "end": 345.77, "word": " بتبطل", "probability": 0.78173828125}, {"start": 345.77, "end": 346.09, "word": " السير", "probability": 0.529541015625}, {"start": 346.09, "end": 346.75, "word": " Polynomial", "probability": 0.686767578125}, {"start": 346.75, "end": 347.25, "word": " وإنما", "probability": 0.746124267578125}, {"start": 347.25, "end": 347.61, "word": " بتكون", "probability": 0.82861328125}, {"start": 347.61, "end": 348.17, "word": " مالها", "probability": 0.9500325520833334}, {"start": 348.17, "end": 349.19, "word": " بتكون", "probability": 0.6490478515625}, {"start": 349.19, "end": 349.79, "word": " Serious", "probability": 0.703857421875}], "temperature": 1.0}, {"id": 15, "seek": 37976, "start": 350.02, "end": 379.76, "text": "مكلورين سيريز هي حالة خاصة من تايلور سيريز تمام لما تبقى a تساوي 0 يبقى في هذا ال section اننا نحاول مضع الدوال التي لها مشتقات من جميع الرتب as a power series طيب تقدر تعطينا دالة اللي لها مشتقات من جميع الرتب بتكملش يعني؟", "tokens": [2304, 4117, 1211, 13063, 9957, 8608, 13546, 1829, 11622, 39896, 11331, 6027, 3660, 16490, 33546, 3660, 9154, 6055, 995, 26895, 13063, 8608, 13546, 1829, 11622, 46811, 10943, 5296, 15042, 6055, 3555, 4587, 7578, 257, 6055, 3794, 995, 45865, 1958, 7251, 3555, 4587, 7578, 8978, 23758, 2423, 3541, 16472, 8315, 8717, 5016, 995, 12610, 3714, 11242, 3615, 32748, 2407, 6027, 38392, 5296, 11296, 37893, 2655, 4587, 9307, 9154, 10874, 2304, 40228, 34892, 2655, 3555, 382, 257, 1347, 2638, 23032, 1829, 3555, 6055, 28543, 2288, 37279, 9566, 1829, 8315, 11778, 6027, 3660, 13672, 1829, 5296, 11296, 37893, 2655, 4587, 9307, 9154, 10874, 2304, 40228, 34892, 2655, 3555, 39894, 24793, 1211, 8592, 37495, 22653, 22807], "avg_logprob": -0.23396017066145366, "compression_ratio": 1.7710280373831775, "no_speech_prob": 0.0, "words": [{"start": 350.02, "end": 351.2, "word": "مكلورين", "probability": 0.6274658203125}, {"start": 351.2, "end": 351.86, "word": " سيريز", "probability": 0.8380126953125}, {"start": 351.86, "end": 352.12, "word": " هي", "probability": 0.354736328125}, {"start": 352.12, "end": 352.76, "word": " حالة", "probability": 0.9597981770833334}, {"start": 352.76, "end": 353.52, "word": " خاصة", "probability": 0.9378255208333334}, {"start": 353.52, "end": 353.98, "word": " من", "probability": 0.84619140625}, {"start": 353.98, "end": 355.2, "word": " تايلور", "probability": 0.8956298828125}, {"start": 355.2, "end": 356.24, "word": " سيريز", "probability": 0.9580078125}, {"start": 356.24, "end": 357.08, "word": " تمام", "probability": 0.7427978515625}, {"start": 357.08, "end": 357.62, "word": " لما", "probability": 0.723876953125}, {"start": 357.62, "end": 358.12, "word": " تبقى", "probability": 0.9603271484375}, {"start": 358.12, "end": 358.46, "word": " a", "probability": 0.29541015625}, {"start": 358.46, "end": 359.12, "word": " تساوي", "probability": 0.76934814453125}, {"start": 359.12, "end": 359.64, "word": " 0", "probability": 0.27880859375}, {"start": 359.64, "end": 362.34, "word": " يبقى", "probability": 0.8636474609375}, {"start": 362.34, "end": 362.46, "word": " في", "probability": 0.86376953125}, {"start": 362.46, "end": 362.8, "word": " هذا", "probability": 0.828125}, {"start": 362.8, "end": 362.94, "word": " ال", "probability": 0.740234375}, {"start": 362.94, "end": 363.16, "word": " section", "probability": 0.416015625}, {"start": 363.16, "end": 363.46, "word": " اننا", "probability": 0.464599609375}, {"start": 363.46, "end": 364.34, "word": " نحاول", "probability": 0.9864501953125}, {"start": 364.34, "end": 365.36, "word": " مضع", "probability": 0.7215983072916666}, {"start": 365.36, "end": 366.58, "word": " الدوال", "probability": 0.7903645833333334}, {"start": 366.58, "end": 367.06, "word": " التي", "probability": 0.748046875}, {"start": 367.06, "end": 367.4, "word": " لها", "probability": 0.868408203125}, {"start": 367.4, "end": 368.2, "word": " مشتقات", "probability": 0.897216796875}, {"start": 368.2, "end": 368.52, "word": " من", "probability": 0.98828125}, {"start": 368.52, "end": 369.2, "word": " جميع", "probability": 0.990234375}, {"start": 369.2, "end": 370.08, "word": " الرتب", "probability": 0.8894856770833334}, {"start": 370.08, "end": 370.88, "word": " as", "probability": 0.52490234375}, {"start": 370.88, "end": 371.28, "word": " a", "probability": 0.93212890625}, {"start": 371.28, "end": 371.8, "word": " power", "probability": 0.90478515625}, {"start": 371.8, "end": 372.98, "word": " series", "probability": 0.87109375}, {"start": 372.98, "end": 374.46, "word": " طيب", "probability": 0.7810872395833334}, {"start": 374.46, "end": 374.94, "word": " تقدر", "probability": 0.8837890625}, {"start": 374.94, "end": 375.54, "word": " تعطينا", "probability": 0.84912109375}, {"start": 375.54, "end": 375.94, "word": " دالة", "probability": 0.7936197916666666}, {"start": 375.94, "end": 376.04, "word": " اللي", "probability": 0.6243896484375}, {"start": 376.04, "end": 376.18, "word": " لها", "probability": 0.819091796875}, {"start": 376.18, "end": 376.9, "word": " مشتقات", "probability": 0.9766845703125}, {"start": 376.9, "end": 377.1, "word": " من", "probability": 0.98388671875}, {"start": 377.1, "end": 377.48, "word": " جميع", "probability": 0.9910481770833334}, {"start": 377.48, "end": 377.92, "word": " الرتب", "probability": 0.9684244791666666}, {"start": 377.92, "end": 379.12, "word": " بتكملش", "probability": 0.79510498046875}, {"start": 379.12, "end": 379.76, "word": " يعني؟", "probability": 0.8391927083333334}], "temperature": 1.0}, {"id": 16, "seek": 40909, "start": 379.89, "end": 409.09, "text": "أقول لك خد عن وجهك يا مافي دوال بدي أجيبك من الدوال اللي استخدمتهم ال EOS X صح ولا لأ جوش ال X سنش ال X كوصين ال X صين ال X لن ال X واحدة على X كلها دوال هذه X أص نص كلها مهما تشتقها بتكملش بتبقى المشتقاتها لوين", "tokens": [10721, 39648, 5296, 4117, 16490, 3215, 18871, 49610, 3224, 4117, 35186, 19446, 41185, 11778, 2407, 6027, 4724, 16254, 5551, 7435, 1829, 3555, 4117, 9154, 32748, 2407, 6027, 13672, 1829, 44713, 9778, 40448, 2655, 16095, 2423, 462, 4367, 1783, 20328, 5016, 49429, 5296, 10721, 10874, 2407, 8592, 2423, 1783, 8608, 1863, 8592, 2423, 1783, 9122, 2407, 9381, 9957, 2423, 1783, 20328, 9957, 2423, 1783, 5296, 1863, 2423, 1783, 36764, 24401, 3660, 15844, 1783, 28242, 11296, 11778, 2407, 6027, 29538, 1783, 5551, 9381, 8717, 9381, 28242, 11296, 3714, 3224, 15042, 6055, 8592, 2655, 4587, 11296, 39894, 24793, 1211, 8592, 39894, 3555, 4587, 7578, 9673, 8592, 2655, 4587, 9307, 11296, 45164, 9957], "avg_logprob": -0.2605113533410159, "compression_ratio": 1.8232323232323233, "no_speech_prob": 0.0, "words": [{"start": 379.89, "end": 380.31, "word": "أقول", "probability": 0.23577880859375}, {"start": 380.31, "end": 380.53, "word": " لك", "probability": 0.6915283203125}, {"start": 380.53, "end": 380.81, "word": " خد", "probability": 0.8603515625}, {"start": 380.81, "end": 380.95, "word": " عن", "probability": 0.6689453125}, {"start": 380.95, "end": 381.37, "word": " وجهك", "probability": 0.9710286458333334}, {"start": 381.37, "end": 381.57, "word": " يا", "probability": 0.5244140625}, {"start": 381.57, "end": 381.87, "word": " مافي", "probability": 0.7861328125}, {"start": 381.87, "end": 382.31, "word": " دوال", "probability": 0.8440755208333334}, {"start": 382.31, "end": 382.95, "word": " بدي", "probability": 0.58270263671875}, {"start": 382.95, "end": 383.31, "word": " أجيبك", "probability": 0.832470703125}, {"start": 383.31, "end": 383.45, "word": " من", "probability": 0.402099609375}, {"start": 383.45, "end": 383.81, "word": " الدوال", "probability": 0.8831380208333334}, {"start": 383.81, "end": 383.97, "word": " اللي", "probability": 0.917236328125}, {"start": 383.97, "end": 385.15, "word": " استخدمتهم", "probability": 0.787939453125}, {"start": 385.15, "end": 386.09, "word": " ال", "probability": 0.65576171875}, {"start": 386.09, "end": 386.47, "word": " EOS", "probability": 0.395751953125}, {"start": 386.47, "end": 386.95, "word": " X", "probability": 0.794921875}, {"start": 386.95, "end": 388.31, "word": " صح", "probability": 0.945556640625}, {"start": 388.31, "end": 388.55, "word": " ولا", "probability": 0.85205078125}, {"start": 388.55, "end": 388.95, "word": " لأ", "probability": 0.828369140625}, {"start": 388.95, "end": 390.01, "word": " جوش", "probability": 0.7171630859375}, {"start": 390.01, "end": 390.25, "word": " ال", "probability": 0.8330078125}, {"start": 390.25, "end": 390.69, "word": " X", "probability": 0.94384765625}, {"start": 390.69, "end": 392.25, "word": " سنش", "probability": 0.8873697916666666}, {"start": 392.25, "end": 392.55, "word": " ال", "probability": 0.78076171875}, {"start": 392.55, "end": 393.05, "word": " X", "probability": 0.9931640625}, {"start": 393.05, "end": 394.53, "word": " كوصين", "probability": 0.6453857421875}, {"start": 394.53, "end": 394.81, "word": " ال", "probability": 0.93408203125}, {"start": 394.81, "end": 395.67, "word": " X", "probability": 0.99560546875}, {"start": 395.67, "end": 396.47, "word": " صين", "probability": 0.7327880859375}, {"start": 396.47, "end": 396.75, "word": " ال", "probability": 0.9658203125}, {"start": 396.75, "end": 397.23, "word": " X", "probability": 0.99560546875}, {"start": 397.23, "end": 398.29, "word": " لن", "probability": 0.93408203125}, {"start": 398.29, "end": 398.55, "word": " ال", "probability": 0.91796875}, {"start": 398.55, "end": 399.07, "word": " X", "probability": 0.98974609375}, {"start": 399.07, "end": 400.27, "word": " واحدة", "probability": 0.8963216145833334}, {"start": 400.27, "end": 400.53, "word": " على", "probability": 0.7353515625}, {"start": 400.53, "end": 401.11, "word": " X", "probability": 0.9736328125}, {"start": 401.11, "end": 402.11, "word": " كلها", "probability": 0.890625}, {"start": 402.11, "end": 402.59, "word": " دوال", "probability": 0.966796875}, {"start": 402.59, "end": 402.91, "word": " هذه", "probability": 0.68798828125}, {"start": 402.91, "end": 403.37, "word": " X", "probability": 0.94873046875}, {"start": 403.37, "end": 403.81, "word": " أص", "probability": 0.454833984375}, {"start": 403.81, "end": 404.51, "word": " نص", "probability": 0.975830078125}, {"start": 404.51, "end": 405.65, "word": " كلها", "probability": 0.892578125}, {"start": 405.65, "end": 406.01, "word": " مهما", "probability": 0.9274088541666666}, {"start": 406.01, "end": 406.69, "word": " تشتقها", "probability": 0.93369140625}, {"start": 406.69, "end": 407.45, "word": " بتكملش", "probability": 0.84954833984375}, {"start": 407.45, "end": 407.83, "word": " بتبقى", "probability": 0.8665771484375}, {"start": 407.83, "end": 408.69, "word": " المشتقاتها", "probability": 0.819091796875}, {"start": 408.69, "end": 409.09, "word": " لوين", "probability": 0.85107421875}], "temperature": 1.0}, {"id": 17, "seek": 42990, "start": 409.4, "end": 429.9, "text": "إلى ما لانها يبقى بدل دالة عشر دوال من هذا الدولة بس أخدناهم فيه كالكونصبيه مرضاناش نكتر طبعا في غيرهم كمان كالكونصبيه بس هذا على سبيل المثال تمام؟ إذا هذه الدوال بدي أحاول أجيب أجيب شكلها على شكل power series", "tokens": [28814, 23942, 19446, 5296, 7649, 11296, 7251, 3555, 4587, 7578, 47525, 1211, 11778, 6027, 3660, 6225, 46309, 11778, 2407, 6027, 9154, 23758, 32748, 12610, 3660, 4724, 3794, 5551, 9778, 3215, 8315, 16095, 8978, 3224, 9122, 6027, 30544, 9381, 21292, 3224, 3714, 43042, 7649, 33599, 8717, 4117, 2655, 2288, 23032, 3555, 3615, 995, 8978, 32771, 13546, 16095, 9122, 2304, 7649, 9122, 6027, 30544, 9381, 21292, 3224, 4724, 3794, 23758, 15844, 8608, 21292, 1211, 9673, 12984, 6027, 46811, 10943, 22807, 11933, 15730, 29538, 32748, 2407, 6027, 4724, 16254, 5551, 5016, 995, 12610, 5551, 7435, 1829, 3555, 5551, 7435, 1829, 3555, 13412, 28820, 11296, 15844, 13412, 28820, 1347, 2638], "avg_logprob": -0.2765770905485777, "compression_ratio": 1.7692307692307692, "no_speech_prob": 0.0, "words": [{"start": 409.4, "end": 409.88, "word": "إلى", "probability": 0.45733642578125}, {"start": 409.88, "end": 410.22, "word": " ما", "probability": 0.68212890625}, {"start": 410.22, "end": 410.96, "word": " لانها", "probability": 0.6516927083333334}, {"start": 410.96, "end": 411.46, "word": " يبقى", "probability": 0.9093017578125}, {"start": 411.46, "end": 411.88, "word": " بدل", "probability": 0.823974609375}, {"start": 411.88, "end": 412.36, "word": " دالة", "probability": 0.4336751302083333}, {"start": 412.36, "end": 412.8, "word": " عشر", "probability": 0.933349609375}, {"start": 412.8, "end": 413.36, "word": " دوال", "probability": 0.95068359375}, {"start": 413.36, "end": 413.92, "word": " من", "probability": 0.736328125}, {"start": 413.92, "end": 414.14, "word": " هذا", "probability": 0.3076171875}, {"start": 414.14, "end": 414.52, "word": " الدولة", "probability": 0.714599609375}, {"start": 414.52, "end": 414.72, "word": " بس", "probability": 0.672119140625}, {"start": 414.72, "end": 415.14, "word": " أخدناهم", "probability": 0.764111328125}, {"start": 415.14, "end": 415.34, "word": " فيه", "probability": 0.7998046875}, {"start": 415.34, "end": 416.1, "word": " كالكونصبيه", "probability": 0.6273600260416666}, {"start": 416.1, "end": 416.62, "word": " مرضاناش", "probability": 0.61822509765625}, {"start": 416.62, "end": 417.2, "word": " نكتر", "probability": 0.76959228515625}, {"start": 417.2, "end": 417.76, "word": " طبعا", "probability": 0.9105224609375}, {"start": 417.76, "end": 417.9, "word": " في", "probability": 0.88818359375}, {"start": 417.9, "end": 418.38, "word": " غيرهم", "probability": 0.8697916666666666}, {"start": 418.38, "end": 418.72, "word": " كمان", "probability": 0.7147623697916666}, {"start": 418.72, "end": 419.52, "word": " كالكونصبيه", "probability": 0.9207356770833334}, {"start": 419.52, "end": 419.76, "word": " بس", "probability": 0.946533203125}, {"start": 419.76, "end": 419.96, "word": " هذا", "probability": 0.81298828125}, {"start": 419.96, "end": 420.76, "word": " على", "probability": 0.8701171875}, {"start": 420.76, "end": 421.68, "word": " سبيل", "probability": 0.9934895833333334}, {"start": 421.68, "end": 422.58, "word": " المثال", "probability": 0.9879557291666666}, {"start": 422.58, "end": 423.58, "word": " تمام؟", "probability": 0.6620279947916666}, {"start": 423.58, "end": 423.82, "word": " إذا", "probability": 0.754150390625}, {"start": 423.82, "end": 424.26, "word": " هذه", "probability": 0.607421875}, {"start": 424.26, "end": 424.62, "word": " الدوال", "probability": 0.9051106770833334}, {"start": 424.62, "end": 424.92, "word": " بدي", "probability": 0.6956787109375}, {"start": 424.92, "end": 425.36, "word": " أحاول", "probability": 0.9552001953125}, {"start": 425.36, "end": 426.14, "word": " أجيب", "probability": 0.976318359375}, {"start": 426.14, "end": 427.0, "word": " أجيب", "probability": 0.8885498046875}, {"start": 427.0, "end": 427.66, "word": " شكلها", "probability": 0.9930013020833334}, {"start": 427.66, "end": 427.92, "word": " على", "probability": 0.93310546875}, {"start": 427.92, "end": 428.38, "word": " شكل", "probability": 0.98095703125}, {"start": 428.38, "end": 429.1, "word": " power", "probability": 0.7900390625}, {"start": 429.1, "end": 429.9, "word": " series", "probability": 0.8837890625}], "temperature": 1.0}, {"id": 18, "seek": 45322, "start": 430.44, "end": 453.22, "text": "حد اللي له اي تساؤل هي اه طبعا هذه زي ما فيها عنده هنا تايلور polynomial عندنا كمان مكلورين polynomial يعني لو جفت لحد هناك و بس يبقى هذه اسمها من؟ اللي هو تايلور مكلورين polynomial يبقى هذه اسمها مكلورين polynomial", "tokens": [5016, 3215, 13672, 1829, 46740, 1975, 1829, 6055, 3794, 5718, 97, 1211, 39896, 1975, 3224, 23032, 3555, 3615, 995, 29538, 30767, 1829, 19446, 8978, 11296, 43242, 3224, 34105, 6055, 995, 26895, 13063, 26110, 43242, 8315, 9122, 2304, 7649, 3714, 4117, 1211, 13063, 9957, 26110, 37495, 22653, 45164, 10874, 5172, 2655, 5296, 24401, 34105, 4117, 4032, 4724, 3794, 7251, 3555, 4587, 7578, 29538, 24525, 2304, 11296, 9154, 22807, 13672, 1829, 31439, 6055, 995, 26895, 13063, 3714, 4117, 1211, 13063, 9957, 26110, 7251, 3555, 4587, 7578, 29538, 24525, 2304, 11296, 3714, 4117, 1211, 13063, 9957, 26110], "avg_logprob": -0.26809210463574057, "compression_ratio": 2.046783625730994, "no_speech_prob": 0.0, "words": [{"start": 430.44, "end": 430.82, "word": "حد", "probability": 0.463897705078125}, {"start": 430.82, "end": 430.96, "word": " اللي", "probability": 0.5452880859375}, {"start": 430.96, "end": 431.1, "word": " له", "probability": 0.460205078125}, {"start": 431.1, "end": 431.2, "word": " اي", "probability": 0.76416015625}, {"start": 431.2, "end": 431.76, "word": " تساؤل", "probability": 0.8927734375}, {"start": 431.76, "end": 431.96, "word": " هي", "probability": 0.266357421875}, {"start": 431.96, "end": 432.22, "word": " اه", "probability": 0.6514892578125}, {"start": 432.22, "end": 432.62, "word": " طبعا", "probability": 0.9918212890625}, {"start": 432.62, "end": 433.46, "word": " هذه", "probability": 0.2174072265625}, {"start": 433.46, "end": 434.12, "word": " زي", "probability": 0.949462890625}, {"start": 434.12, "end": 434.24, "word": " ما", "probability": 0.96630859375}, {"start": 434.24, "end": 434.56, "word": " فيها", "probability": 0.759033203125}, {"start": 434.56, "end": 434.86, "word": " عنده", "probability": 0.56005859375}, {"start": 434.86, "end": 435.06, "word": " هنا", "probability": 0.54248046875}, {"start": 435.06, "end": 435.52, "word": " تايلور", "probability": 0.665313720703125}, {"start": 435.52, "end": 436.1, "word": " polynomial", "probability": 0.385498046875}, {"start": 436.1, "end": 437.14, "word": " عندنا", "probability": 0.548828125}, {"start": 437.14, "end": 437.5, "word": " كمان", "probability": 0.9462890625}, {"start": 437.5, "end": 438.22, "word": " مكلورين", "probability": 0.78857421875}, {"start": 438.22, "end": 439.28, "word": " polynomial", "probability": 0.9072265625}, {"start": 439.28, "end": 439.8, "word": " يعني", "probability": 0.869873046875}, {"start": 439.8, "end": 440.04, "word": " لو", "probability": 0.9765625}, {"start": 440.04, "end": 440.48, "word": " جفت", "probability": 0.7665201822916666}, {"start": 440.48, "end": 440.94, "word": " لحد", "probability": 0.97021484375}, {"start": 440.94, "end": 441.94, "word": " هناك", "probability": 0.98828125}, {"start": 441.94, "end": 443.32, "word": " و", "probability": 0.6328125}, {"start": 443.32, "end": 443.9, "word": " بس", "probability": 0.966552734375}, {"start": 443.9, "end": 444.84, "word": " يبقى", "probability": 0.946533203125}, {"start": 444.84, "end": 445.08, "word": " هذه", "probability": 0.67529296875}, {"start": 445.08, "end": 445.58, "word": " اسمها", "probability": 0.9464518229166666}, {"start": 445.58, "end": 446.58, "word": " من؟", "probability": 0.5233154296875}, {"start": 446.58, "end": 446.76, "word": " اللي", "probability": 0.907470703125}, {"start": 446.76, "end": 446.94, "word": " هو", "probability": 0.9736328125}, {"start": 446.94, "end": 447.9, "word": " تايلور", "probability": 0.861572265625}, {"start": 447.9, "end": 449.76, "word": " مكلورين", "probability": 0.9421875}, {"start": 449.76, "end": 450.56, "word": " polynomial", "probability": 0.95361328125}, {"start": 450.56, "end": 451.18, "word": " يبقى", "probability": 0.94384765625}, {"start": 451.18, "end": 451.46, "word": " هذه", "probability": 0.8896484375}, {"start": 451.46, "end": 452.1, "word": " اسمها", "probability": 0.9886067708333334}, {"start": 452.1, "end": 453.22, "word": " مكلورين", "probability": 0.96044921875}, {"start": 453.22, "end": 453.22, "word": " polynomial", "probability": 0.96240234375}], "temperature": 1.0}, {"id": 19, "seek": 46708, "start": 459.22, "end": 467.08, "text": "كثيرة حدود macro هذا كل جزء النظري اللى موجود وان في ال section اللى بنادينا", "tokens": [4117, 12984, 48923, 11331, 3215, 23328, 18887, 23758, 28242, 10874, 11622, 38207, 28239, 19913, 16572, 13672, 7578, 3714, 29245, 23328, 4032, 7649, 8978, 2423, 3541, 13672, 7578, 4724, 8315, 16254, 8315], "avg_logprob": -0.27880860213190317, "compression_ratio": 1.1886792452830188, "no_speech_prob": 0.0, "words": [{"start": 459.22, "end": 459.96, "word": "كثيرة", "probability": 0.7766927083333334}, {"start": 459.96, "end": 460.82, "word": " حدود", "probability": 0.9890950520833334}, {"start": 460.82, "end": 461.46, "word": " macro", "probability": 0.6533203125}, {"start": 461.46, "end": 462.76, "word": " هذا", "probability": 0.54052734375}, {"start": 462.76, "end": 463.14, "word": " كل", "probability": 0.896484375}, {"start": 463.14, "end": 463.54, "word": " جزء", "probability": 0.9456380208333334}, {"start": 463.54, "end": 463.96, "word": " النظري", "probability": 0.77392578125}, {"start": 463.96, "end": 464.12, "word": " اللى", "probability": 0.5589599609375}, {"start": 464.12, "end": 464.44, "word": " موجود", "probability": 0.9677734375}, {"start": 464.44, "end": 464.86, "word": " وان", "probability": 0.557373046875}, {"start": 464.86, "end": 465.3, "word": " في", "probability": 0.4580078125}, {"start": 465.3, "end": 465.44, "word": " ال", "probability": 0.712890625}, {"start": 465.44, "end": 466.0, "word": " section", "probability": 0.8974609375}, {"start": 466.0, "end": 466.5, "word": " اللى", "probability": 0.9775390625}, {"start": 466.5, "end": 467.08, "word": " بنادينا", "probability": 0.65850830078125}], "temperature": 1.0}, {"id": 20, "seek": 49321, "start": 467.37, "end": 493.21, "text": "ممكن نضيف عليها نبحث في فترة التقارب لل series اللى بتطلع او ما إلى ذلك مش مشكلة ال chapter اللى فات كان كله power series وبعدين نبحث فيه فترة التقارب لل series وكذلك فترة التباعت الان بدنا نعطي بعض الأمثلة وسابدأها بأبسط أنواع الأمثلة اول مثال بقول find the teller series", "tokens": [2304, 43020, 8717, 11242, 33911, 25894, 11296, 8717, 49628, 12984, 8978, 6156, 2655, 25720, 16712, 4587, 9640, 3555, 24976, 2638, 13672, 7578, 39894, 9566, 1211, 3615, 1975, 2407, 19446, 30731, 29910, 23275, 37893, 37893, 28820, 3660, 2423, 7187, 13672, 7578, 6156, 9307, 25961, 28242, 3224, 1347, 2638, 46599, 22488, 9957, 8717, 49628, 12984, 8978, 3224, 6156, 2655, 25720, 16712, 4587, 9640, 3555, 24976, 2638, 4032, 4117, 8848, 23275, 6156, 2655, 25720, 16712, 3555, 995, 34268, 2423, 7649, 47525, 8315, 8717, 3615, 9566, 1829, 45030, 11242, 16247, 2304, 12984, 37977, 46952, 16758, 3215, 10721, 11296, 4724, 10721, 3555, 3794, 9566, 14739, 14407, 3615, 16247, 2304, 12984, 37977, 1975, 12610, 50113, 6027, 4724, 39648, 915, 264, 980, 260, 2638], "avg_logprob": -0.19743113876399349, "compression_ratio": 1.8464730290456433, "no_speech_prob": 0.0, "words": [{"start": 467.37, "end": 467.91, "word": "ممكن", "probability": 0.6800537109375}, {"start": 467.91, "end": 468.39, "word": " نضيف", "probability": 0.85009765625}, {"start": 468.39, "end": 468.75, "word": " عليها", "probability": 0.59228515625}, {"start": 468.75, "end": 469.21, "word": " نبحث", "probability": 0.9228515625}, {"start": 469.21, "end": 469.33, "word": " في", "probability": 0.5439453125}, {"start": 469.33, "end": 469.65, "word": " فترة", "probability": 0.97998046875}, {"start": 469.65, "end": 470.47, "word": " التقارب", "probability": 0.9857177734375}, {"start": 470.47, "end": 470.65, "word": " لل", "probability": 0.81884765625}, {"start": 470.65, "end": 470.89, "word": " series", "probability": 0.5439453125}, {"start": 470.89, "end": 471.11, "word": " اللى", "probability": 0.687744140625}, {"start": 471.11, "end": 471.65, "word": " بتطلع", "probability": 0.9454345703125}, {"start": 471.65, "end": 471.87, "word": " او", "probability": 0.7626953125}, {"start": 471.87, "end": 471.99, "word": " ما", "probability": 0.93359375}, {"start": 471.99, "end": 472.25, "word": " إلى", "probability": 0.53369140625}, {"start": 472.25, "end": 472.67, "word": " ذلك", "probability": 0.990478515625}, {"start": 472.67, "end": 473.25, "word": " مش", "probability": 0.90625}, {"start": 473.25, "end": 473.73, "word": " مشكلة", "probability": 0.95751953125}, {"start": 473.73, "end": 474.03, "word": " ال", "probability": 0.53955078125}, {"start": 474.03, "end": 474.45, "word": " chapter", "probability": 0.95556640625}, {"start": 474.45, "end": 474.67, "word": " اللى", "probability": 0.974365234375}, {"start": 474.67, "end": 474.91, "word": " فات", "probability": 0.951416015625}, {"start": 474.91, "end": 475.17, "word": " كان", "probability": 0.95947265625}, {"start": 475.17, "end": 475.59, "word": " كله", "probability": 0.952392578125}, {"start": 475.59, "end": 475.91, "word": " power", "probability": 0.8330078125}, {"start": 475.91, "end": 476.47, "word": " series", "probability": 0.91748046875}, {"start": 476.47, "end": 477.23, "word": " وبعدين", "probability": 0.82080078125}, {"start": 477.23, "end": 477.71, "word": " نبحث", "probability": 0.9596354166666666}, {"start": 477.71, "end": 478.11, "word": " فيه", "probability": 0.775390625}, {"start": 478.11, "end": 478.51, "word": " فترة", "probability": 0.9860026041666666}, {"start": 478.51, "end": 479.25, "word": " التقارب", "probability": 0.986328125}, {"start": 479.25, "end": 479.45, "word": " لل", "probability": 0.96630859375}, {"start": 479.45, "end": 479.69, "word": " series", "probability": 0.93505859375}, {"start": 479.69, "end": 480.49, "word": " وكذلك", "probability": 0.8914794921875}, {"start": 480.49, "end": 481.37, "word": " فترة", "probability": 0.99267578125}, {"start": 481.37, "end": 482.21, "word": " التباعت", "probability": 0.62860107421875}, {"start": 482.21, "end": 482.85, "word": " الان", "probability": 0.539794921875}, {"start": 482.85, "end": 483.13, "word": " بدنا", "probability": 0.342041015625}, {"start": 483.13, "end": 483.53, "word": " نعطي", "probability": 0.9873046875}, {"start": 483.53, "end": 484.03, "word": " بعض", "probability": 0.966796875}, {"start": 484.03, "end": 484.85, "word": " الأمثلة", "probability": 0.92919921875}, {"start": 484.85, "end": 485.91, "word": " وسابدأها", "probability": 0.87412109375}, {"start": 485.91, "end": 486.79, "word": " بأبسط", "probability": 0.98818359375}, {"start": 486.79, "end": 487.85, "word": " أنواع", "probability": 0.9622395833333334}, {"start": 487.85, "end": 489.43, "word": " الأمثلة", "probability": 0.9825439453125}, {"start": 489.43, "end": 489.99, "word": " اول", "probability": 0.725830078125}, {"start": 489.99, "end": 490.75, "word": " مثال", "probability": 0.81494140625}, {"start": 490.75, "end": 491.61, "word": " بقول", "probability": 0.5994873046875}, {"start": 491.61, "end": 491.97, "word": " find", "probability": 0.81884765625}, {"start": 491.97, "end": 492.17, "word": " the", "probability": 0.81884765625}, {"start": 492.17, "end": 492.51, "word": " teller", "probability": 0.6527099609375}, {"start": 492.51, "end": 493.21, "word": " series", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 21, "seek": 52246, "start": 502.68, "end": 522.46, "text": "تايلور متسلسل التايلور for the function لدالة f of x بده يساوي e أس x at x يساوي واحد", "tokens": [2655, 995, 26895, 13063, 44650, 3794, 1211, 3794, 1211, 16712, 995, 26895, 13063, 337, 264, 2445, 5296, 3215, 6027, 3660, 283, 295, 2031, 47525, 3224, 7251, 3794, 995, 45865, 308, 5551, 3794, 2031, 412, 2031, 7251, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.31008183317525045, "compression_ratio": 1.2524271844660195, "no_speech_prob": 0.0, "words": [{"start": 502.68, "end": 504.0, "word": "تايلور", "probability": 0.724884033203125}, {"start": 504.0, "end": 505.32, "word": " متسلسل", "probability": 0.82451171875}, {"start": 505.32, "end": 505.88, "word": " التايلور", "probability": 0.751556396484375}, {"start": 505.88, "end": 506.24, "word": " for", "probability": 0.7099609375}, {"start": 506.24, "end": 506.46, "word": " the", "probability": 0.89990234375}, {"start": 506.46, "end": 507.36, "word": " function", "probability": 0.962890625}, {"start": 507.36, "end": 512.84, "word": " لدالة", "probability": 0.68267822265625}, {"start": 512.84, "end": 513.84, "word": " f", "probability": 0.6611328125}, {"start": 513.84, "end": 514.28, "word": " of", "probability": 0.5419921875}, {"start": 514.28, "end": 514.96, "word": " x", "probability": 0.91015625}, {"start": 514.96, "end": 516.4, "word": " بده", "probability": 0.42547607421875}, {"start": 516.4, "end": 517.0, "word": " يساوي", "probability": 0.9296875}, {"start": 517.0, "end": 517.46, "word": " e", "probability": 0.46484375}, {"start": 517.46, "end": 517.92, "word": " أس", "probability": 0.5413818359375}, {"start": 517.92, "end": 518.5, "word": " x", "probability": 0.9404296875}, {"start": 518.5, "end": 519.82, "word": " at", "probability": 0.90087890625}, {"start": 519.82, "end": 521.48, "word": " x", "probability": 0.984375}, {"start": 521.48, "end": 522.14, "word": " يساوي", "probability": 0.962890625}, {"start": 522.14, "end": 522.46, "word": " واحد", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 22, "seek": 54005, "start": 527.66, "end": 540.06, "text": "التكتيك اللي عالي تتبعه عند حل السؤال هتروح تتبعه عند حل أي سؤال آخر طبعا وهذا أبسط أنواع الأسئلة فبقول ال solution كانت تالية solution", "tokens": [6027, 2655, 4117, 31371, 4117, 13672, 1829, 6225, 6027, 1829, 6055, 2655, 3555, 3615, 3224, 43242, 11331, 1211, 21136, 33604, 6027, 8032, 2655, 32887, 5016, 6055, 2655, 3555, 3615, 3224, 43242, 11331, 1211, 36632, 8608, 33604, 6027, 19753, 34740, 23032, 3555, 3615, 995, 37037, 15730, 5551, 3555, 3794, 9566, 14739, 14407, 3615, 16247, 3794, 19986, 37977, 6156, 3555, 39648, 2423, 3827, 25961, 2655, 6055, 6027, 10632, 3827], "avg_logprob": -0.2421874997808653, "compression_ratio": 1.5753424657534247, "no_speech_prob": 0.0, "words": [{"start": 527.66, "end": 528.36, "word": "التكتيك", "probability": 0.67724609375}, {"start": 528.36, "end": 528.52, "word": " اللي", "probability": 0.691162109375}, {"start": 528.52, "end": 528.68, "word": " عالي", "probability": 0.3936360677083333}, {"start": 528.68, "end": 529.08, "word": " تتبعه", "probability": 0.797265625}, {"start": 529.08, "end": 529.18, "word": " عند", "probability": 0.92333984375}, {"start": 529.18, "end": 529.6, "word": " حل", "probability": 0.97705078125}, {"start": 529.6, "end": 530.32, "word": " السؤال", "probability": 0.98193359375}, {"start": 530.32, "end": 531.06, "word": " هتروح", "probability": 0.75665283203125}, {"start": 531.06, "end": 531.58, "word": " تتبعه", "probability": 0.94716796875}, {"start": 531.58, "end": 531.68, "word": " عند", "probability": 0.98046875}, {"start": 531.68, "end": 532.22, "word": " حل", "probability": 0.993896484375}, {"start": 532.22, "end": 532.56, "word": " أي", "probability": 0.63232421875}, {"start": 532.56, "end": 533.4, "word": " سؤال", "probability": 0.994140625}, {"start": 533.4, "end": 533.86, "word": " آخر", "probability": 0.7020263671875}, {"start": 533.86, "end": 534.6, "word": " طبعا", "probability": 0.8876953125}, {"start": 534.6, "end": 534.96, "word": " وهذا", "probability": 0.831298828125}, {"start": 534.96, "end": 535.56, "word": " أبسط", "probability": 0.9842529296875}, {"start": 535.56, "end": 536.3, "word": " أنواع", "probability": 0.9744466145833334}, {"start": 536.3, "end": 537.12, "word": " الأسئلة", "probability": 0.94873046875}, {"start": 537.12, "end": 537.9, "word": " فبقول", "probability": 0.53515625}, {"start": 537.9, "end": 538.06, "word": " ال", "probability": 0.77099609375}, {"start": 538.06, "end": 538.5, "word": " solution", "probability": 0.95751953125}, {"start": 538.5, "end": 538.98, "word": " كانت", "probability": 0.86328125}, {"start": 538.98, "end": 539.42, "word": " تالية", "probability": 0.7838541666666666}, {"start": 539.42, "end": 540.06, "word": " solution", "probability": 0.8623046875}], "temperature": 1.0}, {"id": 23, "seek": 55751, "start": 542.55, "end": 557.51, "text": "بنبدأ ناخد ال F of X يتساوي E وال6 انا بده احسب ال series هذا وين عند X يساوي واحد اذا بلزمني اعرف قداش ال F of واحد", "tokens": [3555, 1863, 44510, 10721, 8717, 47283, 3215, 2423, 479, 295, 1783, 7251, 2655, 3794, 995, 45865, 462, 16070, 21, 1975, 8315, 47525, 3224, 1975, 5016, 35457, 2423, 2638, 23758, 4032, 9957, 43242, 1783, 7251, 3794, 995, 45865, 36764, 24401, 1975, 15730, 4724, 1211, 11622, 2304, 22653, 1975, 3615, 28480, 12174, 3215, 33599, 2423, 479, 295, 36764, 24401], "avg_logprob": -0.3572198414597018, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 542.55, "end": 543.15, "word": "بنبدأ", "probability": 0.61273193359375}, {"start": 543.15, "end": 543.61, "word": " ناخد", "probability": 0.7696940104166666}, {"start": 543.61, "end": 543.79, "word": " ال", "probability": 0.56982421875}, {"start": 543.79, "end": 544.17, "word": " F", "probability": 0.53125}, {"start": 544.17, "end": 544.61, "word": " of", "probability": 0.63720703125}, {"start": 544.61, "end": 545.03, "word": " X", "probability": 0.9306640625}, {"start": 545.03, "end": 546.01, "word": " يتساوي", "probability": 0.7228515625}, {"start": 546.01, "end": 546.35, "word": " E", "probability": 0.6484375}, {"start": 546.35, "end": 547.01, "word": " وال6", "probability": 0.38037109375}, {"start": 547.01, "end": 547.97, "word": " انا", "probability": 0.64501953125}, {"start": 547.97, "end": 548.29, "word": " بده", "probability": 0.364990234375}, {"start": 548.29, "end": 548.69, "word": " احسب", "probability": 0.8439127604166666}, {"start": 548.69, "end": 549.23, "word": " ال", "probability": 0.52490234375}, {"start": 549.23, "end": 549.59, "word": " series", "probability": 0.734375}, {"start": 549.59, "end": 549.87, "word": " هذا", "probability": 0.25634765625}, {"start": 549.87, "end": 550.29, "word": " وين", "probability": 0.6741943359375}, {"start": 550.29, "end": 551.21, "word": " عند", "probability": 0.91943359375}, {"start": 551.21, "end": 551.65, "word": " X", "probability": 0.95458984375}, {"start": 551.65, "end": 552.27, "word": " يساوي", "probability": 0.89111328125}, {"start": 552.27, "end": 552.61, "word": " واحد", "probability": 0.795654296875}, {"start": 552.61, "end": 553.01, "word": " اذا", "probability": 0.814208984375}, {"start": 553.01, "end": 553.93, "word": " بلزمني", "probability": 0.854296875}, {"start": 553.93, "end": 554.87, "word": " اعرف", "probability": 0.9783528645833334}, {"start": 554.87, "end": 555.43, "word": " قداش", "probability": 0.8310546875}, {"start": 555.43, "end": 555.63, "word": " ال", "probability": 0.392333984375}, {"start": 555.63, "end": 556.31, "word": " F", "probability": 0.9775390625}, {"start": 556.31, "end": 556.97, "word": " of", "probability": 0.8876953125}, {"start": 556.97, "end": 557.51, "word": " واحد", "probability": 0.939697265625}], "temperature": 1.0}, {"id": 24, "seek": 58567, "start": 557.92, "end": 585.68, "text": "يبقى E أس واحد اللي هو بقداش E بعدين بلزمني أعرف من المشتقة F prime يبقى بروح بقوله F prime of X ب E و ال 6 بده ال F prime of 1 يساوي E أس واحد اللي هي ب E بده ال F double prime of X يبقى كمان E و ال 6 بدنا ال F double prime of 1 يبقى E أس واحد اللي هي بكمان قداش E", "tokens": [1829, 3555, 4587, 7578, 462, 5551, 3794, 36764, 24401, 13672, 1829, 31439, 4724, 28543, 33599, 462, 39182, 9957, 4724, 1211, 11622, 2304, 22653, 5551, 3615, 28480, 9154, 9673, 8592, 2655, 28671, 479, 5835, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 3224, 479, 5835, 295, 1783, 4724, 462, 4032, 2423, 1386, 47525, 3224, 2423, 479, 5835, 295, 502, 7251, 3794, 995, 45865, 462, 5551, 3794, 36764, 24401, 13672, 1829, 39896, 4724, 462, 47525, 3224, 2423, 479, 3834, 5835, 295, 1783, 7251, 3555, 4587, 7578, 9122, 2304, 7649, 462, 4032, 2423, 1386, 47525, 8315, 2423, 479, 3834, 5835, 295, 502, 7251, 3555, 4587, 7578, 462, 5551, 3794, 36764, 24401, 13672, 1829, 39896, 4724, 24793, 7649, 12174, 3215, 33599, 462], "avg_logprob": -0.2509114590783914, "compression_ratio": 2.0894736842105264, "no_speech_prob": 0.0, "words": [{"start": 557.92, "end": 558.5, "word": "يبقى", "probability": 0.79827880859375}, {"start": 558.5, "end": 558.7, "word": " E", "probability": 0.489990234375}, {"start": 558.7, "end": 558.98, "word": " أس", "probability": 0.47900390625}, {"start": 558.98, "end": 559.28, "word": " واحد", "probability": 0.968505859375}, {"start": 559.28, "end": 559.38, "word": " اللي", "probability": 0.52801513671875}, {"start": 559.38, "end": 559.48, "word": " هو", "probability": 0.8349609375}, {"start": 559.48, "end": 560.18, "word": " بقداش", "probability": 0.6141764322916666}, {"start": 560.18, "end": 560.68, "word": " E", "probability": 0.68603515625}, {"start": 560.68, "end": 561.78, "word": " بعدين", "probability": 0.432373046875}, {"start": 561.78, "end": 562.3, "word": " بلزمني", "probability": 0.6404296875}, {"start": 562.3, "end": 562.76, "word": " أعرف", "probability": 0.8697916666666666}, {"start": 562.76, "end": 563.16, "word": " من", "probability": 0.88134765625}, {"start": 563.16, "end": 564.42, "word": " المشتقة", "probability": 0.837646484375}, {"start": 564.42, "end": 564.88, "word": " F", "probability": 0.85888671875}, {"start": 564.88, "end": 565.48, "word": " prime", "probability": 0.19384765625}, {"start": 565.48, "end": 566.08, "word": " يبقى", "probability": 0.891845703125}, {"start": 566.08, "end": 566.44, "word": " بروح", "probability": 0.8846028645833334}, {"start": 566.44, "end": 566.96, "word": " بقوله", "probability": 0.7919921875}, {"start": 566.96, "end": 567.42, "word": " F", "probability": 0.8994140625}, {"start": 567.42, "end": 568.06, "word": " prime", "probability": 0.85595703125}, {"start": 568.06, "end": 568.46, "word": " of", "probability": 0.9580078125}, {"start": 568.46, "end": 568.88, "word": " X", "probability": 0.9150390625}, {"start": 568.88, "end": 569.14, "word": " ب", "probability": 0.87353515625}, {"start": 569.14, "end": 569.36, "word": " E", "probability": 0.66943359375}, {"start": 569.36, "end": 569.5, "word": " و", "probability": 0.4775390625}, {"start": 569.5, "end": 569.66, "word": " ال", "probability": 0.2398681640625}, {"start": 569.66, "end": 569.96, "word": " 6", "probability": 0.7255859375}, {"start": 569.96, "end": 570.88, "word": " بده", "probability": 0.4466552734375}, {"start": 570.88, "end": 571.04, "word": " ال", "probability": 0.50732421875}, {"start": 571.04, "end": 571.4, "word": " F", "probability": 0.982421875}, {"start": 571.4, "end": 571.96, "word": " prime", "probability": 0.88916015625}, {"start": 571.96, "end": 572.36, "word": " of", "probability": 0.97314453125}, {"start": 572.36, "end": 572.7, "word": " 1", "probability": 0.69677734375}, {"start": 572.7, "end": 573.32, "word": " يساوي", "probability": 0.80291748046875}, {"start": 573.32, "end": 573.66, "word": " E", "probability": 0.98876953125}, {"start": 573.66, "end": 573.94, "word": " أس", "probability": 0.929443359375}, {"start": 573.94, "end": 574.22, "word": " واحد", "probability": 0.714599609375}, {"start": 574.22, "end": 574.44, "word": " اللي", "probability": 0.963623046875}, {"start": 574.44, "end": 574.62, "word": " هي", "probability": 0.5830078125}, {"start": 574.62, "end": 574.8, "word": " ب", "probability": 0.90234375}, {"start": 574.8, "end": 575.1, "word": " E", "probability": 0.75}, {"start": 575.1, "end": 576.0, "word": " بده", "probability": 0.960205078125}, {"start": 576.0, "end": 576.2, "word": " ال", "probability": 0.86572265625}, {"start": 576.2, "end": 576.5, "word": " F", "probability": 0.98388671875}, {"start": 576.5, "end": 576.94, "word": " double", "probability": 0.76416015625}, {"start": 576.94, "end": 577.5, "word": " prime", "probability": 0.91015625}, {"start": 577.5, "end": 577.92, "word": " of", "probability": 0.9794921875}, {"start": 577.92, "end": 578.26, "word": " X", "probability": 0.99267578125}, {"start": 578.26, "end": 578.64, "word": " يبقى", "probability": 0.974853515625}, {"start": 578.64, "end": 579.28, "word": " كمان", "probability": 0.9694010416666666}, {"start": 579.28, "end": 579.5, "word": " E", "probability": 0.99072265625}, {"start": 579.5, "end": 579.64, "word": " و", "probability": 0.71044921875}, {"start": 579.64, "end": 579.8, "word": " ال", "probability": 0.86376953125}, {"start": 579.8, "end": 580.12, "word": " 6", "probability": 0.9833984375}, {"start": 580.12, "end": 580.9, "word": " بدنا", "probability": 0.9677734375}, {"start": 580.9, "end": 581.06, "word": " ال", "probability": 0.87451171875}, {"start": 581.06, "end": 581.34, "word": " F", "probability": 0.994140625}, {"start": 581.34, "end": 581.74, "word": " double", "probability": 0.9208984375}, {"start": 581.74, "end": 582.26, "word": " prime", "probability": 0.92724609375}, {"start": 582.26, "end": 582.56, "word": " of", "probability": 0.984375}, {"start": 582.56, "end": 582.82, "word": " 1", "probability": 0.916015625}, {"start": 582.82, "end": 583.22, "word": " يبقى", "probability": 0.9920654296875}, {"start": 583.22, "end": 583.44, "word": " E", "probability": 0.99560546875}, {"start": 583.44, "end": 583.74, "word": " أس", "probability": 0.9755859375}, {"start": 583.74, "end": 584.0, "word": " واحد", "probability": 0.97998046875}, {"start": 584.0, "end": 584.12, "word": " اللي", "probability": 0.96435546875}, {"start": 584.12, "end": 584.22, "word": " هي", "probability": 0.95263671875}, {"start": 584.22, "end": 584.56, "word": " بكمان", "probability": 0.7548828125}, {"start": 584.56, "end": 585.24, "word": " قداش", "probability": 0.9104817708333334}, {"start": 585.24, "end": 585.68, "word": " E", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 25, "seek": 60501, "start": 586.23, "end": 605.01, "text": "طب لو ضليت مستمر هوصل للمشتاق قانونية بالنسبة الـ X كداش؟ يوسكس، يوسكس، بدأ أظل هنا نازل لما أوصل للمشتاق قانونية عند الواحد، يبقى يوس واحد اللي هو بإيه؟", "tokens": [9566, 3555, 45164, 48812, 20292, 2655, 3714, 14851, 29973, 8032, 2407, 36520, 5296, 19528, 8592, 2655, 995, 4587, 12174, 7649, 11536, 10632, 20666, 1863, 35457, 3660, 2423, 39184, 1783, 9122, 3215, 33599, 22807, 7251, 41779, 4117, 3794, 12399, 7251, 41779, 4117, 3794, 12399, 47525, 10721, 5551, 19913, 1211, 34105, 8717, 31377, 1211, 5296, 15042, 5551, 2407, 36520, 5296, 19528, 8592, 2655, 995, 4587, 12174, 7649, 11536, 10632, 43242, 2423, 14407, 24401, 12399, 7251, 3555, 4587, 7578, 7251, 41779, 36764, 24401, 13672, 1829, 31439, 4724, 28814, 1829, 3224, 22807], "avg_logprob": -0.26527386836791306, "compression_ratio": 1.7756410256410255, "no_speech_prob": 0.0, "words": [{"start": 586.23, "end": 586.55, "word": "طب", "probability": 0.5728759765625}, {"start": 586.55, "end": 586.83, "word": " لو", "probability": 0.97021484375}, {"start": 586.83, "end": 587.45, "word": " ضليت", "probability": 0.8323567708333334}, {"start": 587.45, "end": 588.09, "word": " مستمر", "probability": 0.9322916666666666}, {"start": 588.09, "end": 588.77, "word": " هوصل", "probability": 0.728759765625}, {"start": 588.77, "end": 589.73, "word": " للمشتاق", "probability": 0.8683268229166666}, {"start": 589.73, "end": 590.53, "word": " قانونية", "probability": 0.8150634765625}, {"start": 590.53, "end": 591.37, "word": " بالنسبة", "probability": 0.9791259765625}, {"start": 591.37, "end": 591.69, "word": " الـ", "probability": 0.40557861328125}, {"start": 591.69, "end": 591.87, "word": " X", "probability": 0.54736328125}, {"start": 591.87, "end": 592.89, "word": " كداش؟", "probability": 0.59326171875}, {"start": 592.89, "end": 593.63, "word": " يوسكس،", "probability": 0.5781494140625}, {"start": 593.63, "end": 594.21, "word": " يوسكس،", "probability": 0.82705078125}, {"start": 594.21, "end": 594.81, "word": " بدأ", "probability": 0.3848876953125}, {"start": 594.81, "end": 595.11, "word": " أظل", "probability": 0.7340494791666666}, {"start": 595.11, "end": 595.43, "word": " هنا", "probability": 0.9931640625}, {"start": 595.43, "end": 595.87, "word": " نازل", "probability": 0.9679361979166666}, {"start": 595.87, "end": 596.15, "word": " لما", "probability": 0.80908203125}, {"start": 596.15, "end": 596.71, "word": " أوصل", "probability": 0.8321940104166666}, {"start": 596.71, "end": 597.67, "word": " للمشتاق", "probability": 0.9768880208333334}, {"start": 597.67, "end": 598.87, "word": " قانونية", "probability": 0.9884033203125}, {"start": 598.87, "end": 599.35, "word": " عند", "probability": 0.96728515625}, {"start": 599.35, "end": 600.21, "word": " الواحد،", "probability": 0.8575439453125}, {"start": 600.21, "end": 600.77, "word": " يبقى", "probability": 0.9554443359375}, {"start": 600.77, "end": 601.11, "word": " يوس", "probability": 0.858642578125}, {"start": 601.11, "end": 601.65, "word": " واحد", "probability": 0.918212890625}, {"start": 601.65, "end": 601.93, "word": " اللي", "probability": 0.9462890625}, {"start": 601.93, "end": 602.21, "word": " هو", "probability": 0.9912109375}, {"start": 602.21, "end": 605.01, "word": " بإيه؟", "probability": 0.784814453125}], "temperature": 1.0}, {"id": 26, "seek": 63107, "start": 606.25, "end": 631.07, "text": "الحين بدنا نجي ل تايلور اللى عندنا هذا يبقى انا بداش اقولك هو دي حفظ الصيغة هذه لأ انت هتحفظها لحالك automatic بس عند كل سؤال اكتبها بتلاقي حفظها لحالك من دون ماتحاول تحفظها بتلاقي انها حفظت لحالها فبتجي تقولي هذا ال f of x اللي عبارة عن summation من n equal zero to infinity", "tokens": [6027, 5016, 9957, 47525, 8315, 8717, 7435, 1829, 5296, 6055, 995, 26895, 13063, 13672, 7578, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 1975, 8315, 47525, 33599, 1975, 39648, 4117, 31439, 11778, 1829, 11331, 5172, 19913, 31767, 1829, 17082, 3660, 29538, 5296, 10721, 16472, 2655, 8032, 2655, 5016, 5172, 19913, 11296, 5296, 5016, 6027, 4117, 12509, 4724, 3794, 43242, 28242, 8608, 33604, 6027, 1975, 4117, 2655, 3555, 11296, 39894, 15040, 38436, 11331, 5172, 19913, 11296, 5296, 5016, 6027, 4117, 9154, 11778, 11536, 3714, 9307, 5016, 995, 12610, 6055, 5016, 5172, 19913, 11296, 39894, 15040, 38436, 16472, 11296, 11331, 5172, 19913, 2655, 5296, 5016, 6027, 11296, 6156, 3555, 2655, 7435, 1829, 6055, 39648, 1829, 23758, 2423, 283, 295, 2031, 13672, 1829, 6225, 3555, 9640, 3660, 18871, 28811, 9154, 297, 2681, 4018, 281, 13202], "avg_logprob": -0.25284091089711047, "compression_ratio": 1.780392156862745, "no_speech_prob": 0.0, "words": [{"start": 606.25, "end": 606.69, "word": "الحين", "probability": 0.5659993489583334}, {"start": 606.69, "end": 606.97, "word": " بدنا", "probability": 0.5687255859375}, {"start": 606.97, "end": 607.21, "word": " نجي", "probability": 0.6884765625}, {"start": 607.21, "end": 607.29, "word": " ل", "probability": 0.8388671875}, {"start": 607.29, "end": 608.01, "word": " تايلور", "probability": 0.7178955078125}, {"start": 608.01, "end": 608.61, "word": " اللى", "probability": 0.63818359375}, {"start": 608.61, "end": 608.97, "word": " عندنا", "probability": 0.83154296875}, {"start": 608.97, "end": 609.29, "word": " هذا", "probability": 0.7890625}, {"start": 609.29, "end": 610.43, "word": " يبقى", "probability": 0.853271484375}, {"start": 610.43, "end": 611.09, "word": " انا", "probability": 0.72607421875}, {"start": 611.09, "end": 611.45, "word": " بداش", "probability": 0.30609130859375}, {"start": 611.45, "end": 611.87, "word": " اقولك", "probability": 0.84765625}, {"start": 611.87, "end": 612.03, "word": " هو", "probability": 0.265380859375}, {"start": 612.03, "end": 612.27, "word": " دي", "probability": 0.5191650390625}, {"start": 612.27, "end": 612.73, "word": " حفظ", "probability": 0.8419596354166666}, {"start": 612.73, "end": 614.35, "word": " الصيغة", "probability": 0.9266357421875}, {"start": 614.35, "end": 614.55, "word": " هذه", "probability": 0.377197265625}, {"start": 614.55, "end": 614.79, "word": " لأ", "probability": 0.840576171875}, {"start": 614.79, "end": 614.99, "word": " انت", "probability": 0.959716796875}, {"start": 614.99, "end": 615.61, "word": " هتحفظها", "probability": 0.9557291666666666}, {"start": 615.61, "end": 616.07, "word": " لحالك", "probability": 0.978759765625}, {"start": 616.07, "end": 616.53, "word": " automatic", "probability": 0.28369140625}, {"start": 616.53, "end": 617.07, "word": " بس", "probability": 0.98779296875}, {"start": 617.07, "end": 617.59, "word": " عند", "probability": 0.712890625}, {"start": 617.59, "end": 617.83, "word": " كل", "probability": 0.95068359375}, {"start": 617.83, "end": 618.15, "word": " سؤال", "probability": 0.9900716145833334}, {"start": 618.15, "end": 618.57, "word": " اكتبها", "probability": 0.867138671875}, {"start": 618.57, "end": 618.85, "word": " بتلاقي", "probability": 0.85009765625}, {"start": 618.85, "end": 619.37, "word": " حفظها", "probability": 0.7076416015625}, {"start": 619.37, "end": 619.89, "word": " لحالك", "probability": 0.9937744140625}, {"start": 619.89, "end": 620.03, "word": " من", "probability": 0.72314453125}, {"start": 620.03, "end": 620.19, "word": " دون", "probability": 0.863037109375}, {"start": 620.19, "end": 620.55, "word": " ماتحاول", "probability": 0.82978515625}, {"start": 620.55, "end": 621.19, "word": " تحفظها", "probability": 0.9599609375}, {"start": 621.19, "end": 621.65, "word": " بتلاقي", "probability": 0.8470052083333334}, {"start": 621.65, "end": 621.79, "word": " انها", "probability": 0.722900390625}, {"start": 621.79, "end": 622.15, "word": " حفظت", "probability": 0.96484375}, {"start": 622.15, "end": 622.69, "word": " لحالها", "probability": 0.989990234375}, {"start": 622.69, "end": 623.55, "word": " فبتجي", "probability": 0.88203125}, {"start": 623.55, "end": 624.13, "word": " تقولي", "probability": 0.7920735677083334}, {"start": 624.13, "end": 625.01, "word": " هذا", "probability": 0.90087890625}, {"start": 625.01, "end": 625.23, "word": " ال", "probability": 0.90673828125}, {"start": 625.23, "end": 625.47, "word": " f", "probability": 0.382568359375}, {"start": 625.47, "end": 625.83, "word": " of", "probability": 0.603515625}, {"start": 625.83, "end": 626.21, "word": " x", "probability": 0.91552734375}, {"start": 626.21, "end": 626.95, "word": " اللي", "probability": 0.739013671875}, {"start": 626.95, "end": 627.39, "word": " عبارة", "probability": 0.8846435546875}, {"start": 627.39, "end": 627.63, "word": " عن", "probability": 0.99462890625}, {"start": 627.63, "end": 628.35, "word": " summation", "probability": 0.8837890625}, {"start": 628.35, "end": 629.09, "word": " من", "probability": 0.947265625}, {"start": 629.09, "end": 629.47, "word": " n", "probability": 0.67919921875}, {"start": 629.47, "end": 629.87, "word": " equal", "probability": 0.476806640625}, {"start": 629.87, "end": 630.23, "word": " zero", "probability": 0.5751953125}, {"start": 630.23, "end": 630.49, "word": " to", "probability": 0.96875}, {"start": 630.49, "end": 631.07, "word": " infinity", "probability": 0.89453125}], "temperature": 1.0}, {"id": 27, "seek": 64984, "start": 631.38, "end": 649.84, "text": "لقى فاضل رقم N عند الواحد X ناقص واحد to the power N على N factorial يبقى هذا بيساوي ال F of واحد زي ال F prime of واحد X ناقص واحد على واحد factorial", "tokens": [1211, 4587, 7578, 6156, 46958, 1211, 12602, 4587, 2304, 426, 43242, 2423, 14407, 24401, 1783, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 426, 15844, 426, 36916, 7251, 3555, 4587, 7578, 23758, 4724, 1829, 3794, 995, 45865, 2423, 479, 295, 36764, 24401, 30767, 1829, 2423, 479, 5835, 295, 36764, 24401, 1783, 8717, 995, 4587, 9381, 36764, 24401, 15844, 36764, 24401, 36916], "avg_logprob": -0.20982143377500867, "compression_ratio": 1.5971223021582734, "no_speech_prob": 0.0, "words": [{"start": 631.38, "end": 632.24, "word": "لقى", "probability": 0.5648600260416666}, {"start": 632.24, "end": 632.66, "word": " فاضل", "probability": 0.87548828125}, {"start": 632.66, "end": 633.36, "word": " رقم", "probability": 0.9933268229166666}, {"start": 633.36, "end": 633.74, "word": " N", "probability": 0.38134765625}, {"start": 633.74, "end": 634.52, "word": " عند", "probability": 0.85205078125}, {"start": 634.52, "end": 635.14, "word": " الواحد", "probability": 0.87890625}, {"start": 635.14, "end": 636.0, "word": " X", "probability": 0.50732421875}, {"start": 636.0, "end": 636.6, "word": " ناقص", "probability": 0.8690185546875}, {"start": 636.6, "end": 636.98, "word": " واحد", "probability": 0.97412109375}, {"start": 636.98, "end": 637.2, "word": " to", "probability": 0.66943359375}, {"start": 637.2, "end": 637.42, "word": " the", "probability": 0.9130859375}, {"start": 637.42, "end": 637.78, "word": " power", "probability": 0.86376953125}, {"start": 637.78, "end": 638.12, "word": " N", "probability": 0.81640625}, {"start": 638.12, "end": 638.38, "word": " على", "probability": 0.61083984375}, {"start": 638.38, "end": 638.72, "word": " N", "probability": 0.9482421875}, {"start": 638.72, "end": 639.52, "word": " factorial", "probability": 0.748046875}, {"start": 639.52, "end": 640.48, "word": " يبقى", "probability": 0.957275390625}, {"start": 640.48, "end": 640.64, "word": " هذا", "probability": 0.490234375}, {"start": 640.64, "end": 641.3, "word": " بيساوي", "probability": 0.713134765625}, {"start": 641.3, "end": 641.46, "word": " ال", "probability": 0.375}, {"start": 641.46, "end": 641.78, "word": " F", "probability": 0.90478515625}, {"start": 641.78, "end": 642.1, "word": " of", "probability": 0.86865234375}, {"start": 642.1, "end": 642.64, "word": " واحد", "probability": 0.99169921875}, {"start": 642.64, "end": 643.52, "word": " زي", "probability": 0.85546875}, {"start": 643.52, "end": 643.76, "word": " ال", "probability": 0.27783203125}, {"start": 643.76, "end": 644.14, "word": " F", "probability": 0.95654296875}, {"start": 644.14, "end": 644.82, "word": " prime", "probability": 0.78955078125}, {"start": 644.82, "end": 645.24, "word": " of", "probability": 0.9736328125}, {"start": 645.24, "end": 645.88, "word": " واحد", "probability": 0.994873046875}, {"start": 645.88, "end": 646.82, "word": " X", "probability": 0.9453125}, {"start": 646.82, "end": 647.46, "word": " ناقص", "probability": 0.9884033203125}, {"start": 647.46, "end": 648.08, "word": " واحد", "probability": 0.991943359375}, {"start": 648.08, "end": 648.68, "word": " على", "probability": 0.79833984375}, {"start": 648.68, "end": 649.12, "word": " واحد", "probability": 0.990234375}, {"start": 649.12, "end": 649.84, "word": " factorial", "probability": 0.6982421875}], "temperature": 1.0}, {"id": 28, "seek": 67980, "start": 650.24, "end": 679.8, "text": "مشتقة ثانية عند الواحد X ناقص واحد لكل تربية على اتنين factorial زائد المشتقة انونية عند الواحد X ناقص واحد to the power N على N factorial زائد إلى اخرهم الدالة F of X اللي هي مين عندنا ال E of X يبقى هذه بدها تساوي بداشي اشوف F of واحد F واحد بداشي", "tokens": [2304, 8592, 2655, 28671, 38637, 7649, 10632, 43242, 2423, 14407, 24401, 1783, 8717, 995, 4587, 9381, 36764, 24401, 5296, 28820, 6055, 25513, 10632, 15844, 1975, 2655, 1863, 9957, 36916, 30767, 16373, 3215, 9673, 8592, 2655, 28671, 16472, 11536, 10632, 43242, 2423, 14407, 24401, 1783, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 426, 15844, 426, 36916, 30767, 16373, 3215, 30731, 1975, 34740, 16095, 32748, 6027, 3660, 479, 295, 1783, 13672, 1829, 39896, 3714, 9957, 43242, 8315, 2423, 462, 295, 1783, 7251, 3555, 4587, 7578, 29538, 47525, 11296, 6055, 3794, 995, 45865, 47525, 33599, 1829, 1975, 8592, 38688, 479, 295, 36764, 24401, 479, 36764, 24401, 47525, 33599, 1829], "avg_logprob": -0.22677752895092745, "compression_ratio": 1.9466019417475728, "no_speech_prob": 0.0, "words": [{"start": 650.24, "end": 651.2, "word": "مشتقة", "probability": 0.73834228515625}, {"start": 651.2, "end": 651.96, "word": " ثانية", "probability": 0.8321940104166666}, {"start": 651.96, "end": 652.64, "word": " عند", "probability": 0.8818359375}, {"start": 652.64, "end": 653.32, "word": " الواحد", "probability": 0.93408203125}, {"start": 653.32, "end": 653.78, "word": " X", "probability": 0.4716796875}, {"start": 653.78, "end": 654.4, "word": " ناقص", "probability": 0.8717041015625}, {"start": 654.4, "end": 654.78, "word": " واحد", "probability": 0.986572265625}, {"start": 654.78, "end": 655.22, "word": " لكل", "probability": 0.89453125}, {"start": 655.22, "end": 655.8, "word": " تربية", "probability": 0.8727213541666666}, {"start": 655.8, "end": 656.48, "word": " على", "probability": 0.845703125}, {"start": 656.48, "end": 656.94, "word": " اتنين", "probability": 0.8243408203125}, {"start": 656.94, "end": 657.66, "word": " factorial", "probability": 0.495361328125}, {"start": 657.66, "end": 658.78, "word": " زائد", "probability": 0.7618815104166666}, {"start": 658.78, "end": 660.14, "word": " المشتقة", "probability": 0.97314453125}, {"start": 660.14, "end": 661.46, "word": " انونية", "probability": 0.7576497395833334}, {"start": 661.46, "end": 661.94, "word": " عند", "probability": 0.98388671875}, {"start": 661.94, "end": 662.66, "word": " الواحد", "probability": 0.9939778645833334}, {"start": 662.66, "end": 663.44, "word": " X", "probability": 0.9521484375}, {"start": 663.44, "end": 664.04, "word": " ناقص", "probability": 0.9832763671875}, {"start": 664.04, "end": 664.44, "word": " واحد", "probability": 0.99169921875}, {"start": 664.44, "end": 664.66, "word": " to", "probability": 0.923828125}, {"start": 664.66, "end": 664.88, "word": " the", "probability": 0.91455078125}, {"start": 664.88, "end": 665.24, "word": " power", "probability": 0.88427734375}, {"start": 665.24, "end": 665.68, "word": " N", "probability": 0.6806640625}, {"start": 665.68, "end": 666.34, "word": " على", "probability": 0.67529296875}, {"start": 666.34, "end": 666.62, "word": " N", "probability": 0.88525390625}, {"start": 666.62, "end": 667.24, "word": " factorial", "probability": 0.8466796875}, {"start": 667.24, "end": 667.74, "word": " زائد", "probability": 0.9654947916666666}, {"start": 667.74, "end": 668.04, "word": " إلى", "probability": 0.47705078125}, {"start": 668.04, "end": 668.72, "word": " اخرهم", "probability": 0.7273763020833334}, {"start": 668.72, "end": 670.28, "word": " الدالة", "probability": 0.6667073567708334}, {"start": 670.28, "end": 670.48, "word": " F", "probability": 0.73681640625}, {"start": 670.48, "end": 670.68, "word": " of", "probability": 0.56689453125}, {"start": 670.68, "end": 670.86, "word": " X", "probability": 0.9873046875}, {"start": 670.86, "end": 671.0, "word": " اللي", "probability": 0.73046875}, {"start": 671.0, "end": 671.16, "word": " هي", "probability": 0.58349609375}, {"start": 671.16, "end": 671.34, "word": " مين", "probability": 0.822509765625}, {"start": 671.34, "end": 671.88, "word": " عندنا", "probability": 0.98876953125}, {"start": 671.88, "end": 672.6, "word": " ال", "probability": 0.66064453125}, {"start": 672.6, "end": 672.82, "word": " E", "probability": 0.77685546875}, {"start": 672.82, "end": 673.04, "word": " of", "probability": 0.36572265625}, {"start": 673.04, "end": 673.58, "word": " X", "probability": 0.60107421875}, {"start": 673.58, "end": 674.84, "word": " يبقى", "probability": 0.9189453125}, {"start": 674.84, "end": 675.26, "word": " هذه", "probability": 0.80029296875}, {"start": 675.26, "end": 675.78, "word": " بدها", "probability": 0.898681640625}, {"start": 675.78, "end": 676.58, "word": " تساوي", "probability": 0.972900390625}, {"start": 676.58, "end": 677.38, "word": " بداشي", "probability": 0.6407063802083334}, {"start": 677.38, "end": 677.72, "word": " اشوف", "probability": 0.9093424479166666}, {"start": 677.72, "end": 678.02, "word": " F", "probability": 0.9462890625}, {"start": 678.02, "end": 678.18, "word": " of", "probability": 0.53515625}, {"start": 678.18, "end": 678.38, "word": " واحد", "probability": 0.91162109375}, {"start": 678.38, "end": 678.62, "word": " F", "probability": 0.6328125}, {"start": 678.62, "end": 679.0, "word": " واحد", "probability": 0.7344970703125}, {"start": 679.0, "end": 679.8, "word": " بداشي", "probability": 0.6974283854166666}], "temperature": 1.0}, {"id": 29, "seek": 70574, "start": 680.16, "end": 705.74, "text": "بإي وال F prime بواحد كمان بإي في ال X ناقص الواحد على واحد factorial ال F double prime كمان بإي في ال X ناقص واحد تربيع على اتنين factorial ونظل ماشيين لغاية إي في ال X ناقص واحد to the power N على N factorial زائد إلى ما شاء الله", "tokens": [3555, 28814, 1829, 16070, 479, 5835, 4724, 14407, 24401, 9122, 2304, 7649, 4724, 28814, 1829, 8978, 2423, 1783, 8717, 995, 4587, 9381, 2423, 14407, 24401, 15844, 36764, 24401, 36916, 2423, 479, 3834, 5835, 9122, 2304, 7649, 4724, 28814, 1829, 8978, 2423, 1783, 8717, 995, 4587, 9381, 36764, 24401, 6055, 2288, 21292, 3615, 15844, 1975, 2655, 1863, 9957, 36916, 4032, 1863, 19913, 1211, 3714, 33599, 1829, 9957, 5296, 17082, 995, 10632, 11933, 1829, 8978, 2423, 1783, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 426, 15844, 426, 36916, 30767, 16373, 3215, 30731, 19446, 13412, 16606, 21984], "avg_logprob": -0.17622422188827672, "compression_ratio": 1.89247311827957, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 680.16, "end": 681.0, "word": "بإي", "probability": 0.4724527994791667}, {"start": 681.0, "end": 681.68, "word": " وال", "probability": 0.33544921875}, {"start": 681.68, "end": 682.12, "word": " F", "probability": 0.490234375}, {"start": 682.12, "end": 682.88, "word": " prime", "probability": 0.229248046875}, {"start": 682.88, "end": 683.9, "word": " بواحد", "probability": 0.9026692708333334}, {"start": 683.9, "end": 684.42, "word": " كمان", "probability": 0.8984375}, {"start": 684.42, "end": 685.12, "word": " بإي", "probability": 0.8211263020833334}, {"start": 685.12, "end": 685.64, "word": " في", "probability": 0.69287109375}, {"start": 685.64, "end": 685.88, "word": " ال", "probability": 0.9052734375}, {"start": 685.88, "end": 686.24, "word": " X", "probability": 0.81787109375}, {"start": 686.24, "end": 687.18, "word": " ناقص", "probability": 0.9288330078125}, {"start": 687.18, "end": 687.88, "word": " الواحد", "probability": 0.8937174479166666}, {"start": 687.88, "end": 688.48, "word": " على", "probability": 0.82958984375}, {"start": 688.48, "end": 688.92, "word": " واحد", "probability": 0.98876953125}, {"start": 688.92, "end": 689.54, "word": " factorial", "probability": 0.64501953125}, {"start": 689.54, "end": 690.26, "word": " ال", "probability": 0.6083984375}, {"start": 690.26, "end": 690.56, "word": " F", "probability": 0.962890625}, {"start": 690.56, "end": 690.94, "word": " double", "probability": 0.79541015625}, {"start": 690.94, "end": 692.34, "word": " prime", "probability": 0.8486328125}, {"start": 692.34, "end": 692.86, "word": " كمان", "probability": 0.90625}, {"start": 692.86, "end": 693.68, "word": " بإي", "probability": 0.9718424479166666}, {"start": 693.68, "end": 694.12, "word": " في", "probability": 0.9619140625}, {"start": 694.12, "end": 694.3, "word": " ال", "probability": 0.96484375}, {"start": 694.3, "end": 694.56, "word": " X", "probability": 0.98828125}, {"start": 694.56, "end": 695.14, "word": " ناقص", "probability": 0.9942626953125}, {"start": 695.14, "end": 695.52, "word": " واحد", "probability": 0.991455078125}, {"start": 695.52, "end": 696.04, "word": " تربيع", "probability": 0.73822021484375}, {"start": 696.04, "end": 696.28, "word": " على", "probability": 0.921875}, {"start": 696.28, "end": 696.68, "word": " اتنين", "probability": 0.9552001953125}, {"start": 696.68, "end": 697.42, "word": " factorial", "probability": 0.85107421875}, {"start": 697.42, "end": 698.4, "word": " ونظل", "probability": 0.7838134765625}, {"start": 698.4, "end": 698.98, "word": " ماشيين", "probability": 0.923583984375}, {"start": 698.98, "end": 699.54, "word": " لغاية", "probability": 0.9847412109375}, {"start": 699.54, "end": 699.88, "word": " إي", "probability": 0.7578125}, {"start": 699.88, "end": 700.02, "word": " في", "probability": 0.97705078125}, {"start": 700.02, "end": 700.16, "word": " ال", "probability": 0.97802734375}, {"start": 700.16, "end": 700.44, "word": " X", "probability": 0.98681640625}, {"start": 700.44, "end": 700.92, "word": " ناقص", "probability": 0.9949951171875}, {"start": 700.92, "end": 701.24, "word": " واحد", "probability": 0.99072265625}, {"start": 701.24, "end": 701.4, "word": " to", "probability": 0.9619140625}, {"start": 701.4, "end": 701.6, "word": " the", "probability": 0.9208984375}, {"start": 701.6, "end": 701.96, "word": " power", "probability": 0.88623046875}, {"start": 701.96, "end": 702.38, "word": " N", "probability": 0.491455078125}, {"start": 702.38, "end": 703.02, "word": " على", "probability": 0.7646484375}, {"start": 703.02, "end": 703.3, "word": " N", "probability": 0.83984375}, {"start": 703.3, "end": 703.92, "word": " factorial", "probability": 0.86669921875}, {"start": 703.92, "end": 704.5, "word": " زائد", "probability": 0.8932291666666666}, {"start": 704.5, "end": 704.8, "word": " إلى", "probability": 0.82861328125}, {"start": 704.8, "end": 705.12, "word": " ما", "probability": 0.98291015625}, {"start": 705.12, "end": 705.44, "word": " شاء", "probability": 0.990234375}, {"start": 705.44, "end": 705.74, "word": " الله", "probability": 0.966796875}], "temperature": 1.0}, {"id": 30, "seek": 72924, "start": 707.48, "end": 729.24, "text": "يبقى أصبحت ال EOS6 هي عبارة عن summation لحد أنه هي جاهز عندي بنزل لحد أنه يبقى E كمقدار ثابت في ال X ناقص واحد to the power N على N factorial من عند ال N equal zero to infinity", "tokens": [1829, 3555, 4587, 7578, 5551, 9381, 3555, 33753, 2423, 462, 4367, 21, 39896, 6225, 3555, 9640, 3660, 18871, 28811, 5296, 24401, 14739, 3224, 39896, 10874, 40294, 11622, 18871, 16254, 44945, 11622, 1211, 5296, 24401, 14739, 3224, 7251, 3555, 4587, 7578, 462, 9122, 2304, 28543, 9640, 38637, 16758, 2655, 8978, 2423, 1783, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 426, 15844, 426, 36916, 9154, 43242, 2423, 426, 2681, 4018, 281, 13202], "avg_logprob": -0.24978596870213338, "compression_ratio": 1.3631578947368421, "no_speech_prob": 0.0, "words": [{"start": 707.48, "end": 707.92, "word": "يبقى", "probability": 0.757568359375}, {"start": 707.92, "end": 708.64, "word": " أصبحت", "probability": 0.83056640625}, {"start": 708.64, "end": 708.86, "word": " ال", "probability": 0.67822265625}, {"start": 708.86, "end": 709.72, "word": " EOS6", "probability": 0.4801432291666667}, {"start": 709.72, "end": 710.08, "word": " هي", "probability": 0.87060546875}, {"start": 710.08, "end": 710.68, "word": " عبارة", "probability": 0.987548828125}, {"start": 710.68, "end": 710.98, "word": " عن", "probability": 0.994140625}, {"start": 710.98, "end": 711.8, "word": " summation", "probability": 0.7392578125}, {"start": 711.8, "end": 713.0, "word": " لحد", "probability": 0.568603515625}, {"start": 713.0, "end": 713.38, "word": " أنه", "probability": 0.435546875}, {"start": 713.38, "end": 713.64, "word": " هي", "probability": 0.2034912109375}, {"start": 713.64, "end": 714.24, "word": " جاهز", "probability": 0.9119466145833334}, {"start": 714.24, "end": 714.72, "word": " عندي", "probability": 0.6983642578125}, {"start": 714.72, "end": 715.82, "word": " بنزل", "probability": 0.8487955729166666}, {"start": 715.82, "end": 716.28, "word": " لحد", "probability": 0.982666015625}, {"start": 716.28, "end": 716.7, "word": " أنه", "probability": 0.8251953125}, {"start": 716.7, "end": 717.66, "word": " يبقى", "probability": 0.951416015625}, {"start": 717.66, "end": 717.92, "word": " E", "probability": 0.94384765625}, {"start": 717.92, "end": 719.14, "word": " كمقدار", "probability": 0.910888671875}, {"start": 719.14, "end": 719.94, "word": " ثابت", "probability": 0.9913736979166666}, {"start": 719.94, "end": 720.46, "word": " في", "probability": 0.740234375}, {"start": 720.46, "end": 720.62, "word": " ال", "probability": 0.422119140625}, {"start": 720.62, "end": 720.94, "word": " X", "probability": 0.84814453125}, {"start": 720.94, "end": 721.48, "word": " ناقص", "probability": 0.8814697265625}, {"start": 721.48, "end": 721.86, "word": " واحد", "probability": 0.9599609375}, {"start": 721.86, "end": 722.06, "word": " to", "probability": 0.88818359375}, {"start": 722.06, "end": 722.26, "word": " the", "probability": 0.90185546875}, {"start": 722.26, "end": 722.76, "word": " power", "probability": 0.88671875}, {"start": 722.76, "end": 723.2, "word": " N", "probability": 0.65625}, {"start": 723.2, "end": 723.92, "word": " على", "probability": 0.689453125}, {"start": 723.92, "end": 724.34, "word": " N", "probability": 0.88818359375}, {"start": 724.34, "end": 725.16, "word": " factorial", "probability": 0.62939453125}, {"start": 725.16, "end": 725.72, "word": " من", "probability": 0.9375}, {"start": 725.72, "end": 726.06, "word": " عند", "probability": 0.84130859375}, {"start": 726.06, "end": 726.3, "word": " ال", "probability": 0.93359375}, {"start": 726.3, "end": 726.58, "word": " N", "probability": 0.93994140625}, {"start": 726.58, "end": 727.18, "word": " equal", "probability": 0.51025390625}, {"start": 727.18, "end": 727.84, "word": " zero", "probability": 0.5830078125}, {"start": 727.84, "end": 728.24, "word": " to", "probability": 0.96875}, {"start": 728.24, "end": 729.24, "word": " infinity", "probability": 0.8515625}], "temperature": 1.0}, {"id": 31, "seek": 75088, "start": 729.94, "end": 750.88, "text": "فعلا هذا هو الحد النوني لان لو بدأت اعوض بال zero بيطلع من ال series اللي عندنا هذه يبقى هذا من أبسط أنواع المسائل اللي لا فيها تفكير ولا عدشغل روتيني طبيعي طيب تجلك الموضوع شوية نعطيك مثال اخر", "tokens": [5172, 3615, 15040, 23758, 31439, 21542, 3215, 28239, 11536, 1829, 5296, 7649, 45164, 47525, 10721, 2655, 1975, 3615, 2407, 11242, 20666, 4018, 4724, 1829, 9566, 1211, 3615, 9154, 2423, 2638, 13672, 1829, 43242, 8315, 29538, 7251, 3555, 4587, 7578, 23758, 9154, 5551, 3555, 3794, 9566, 14739, 14407, 3615, 9673, 3794, 16373, 1211, 13672, 1829, 20193, 8978, 11296, 6055, 5172, 4117, 13546, 49429, 6225, 3215, 8592, 17082, 1211, 12602, 35473, 9957, 1829, 23032, 21292, 3615, 1829, 23032, 1829, 3555, 6055, 7435, 1211, 4117, 9673, 2407, 11242, 45367, 13412, 2407, 10632, 8717, 3615, 9566, 1829, 4117, 50113, 6027, 1975, 34740], "avg_logprob": -0.16477272245619032, "compression_ratio": 1.69, "no_speech_prob": 0.0, "words": [{"start": 729.94, "end": 730.54, "word": "فعلا", "probability": 0.9205729166666666}, {"start": 730.54, "end": 730.88, "word": " هذا", "probability": 0.5888671875}, {"start": 730.88, "end": 731.2, "word": " هو", "probability": 0.955078125}, {"start": 731.2, "end": 731.8, "word": " الحد", "probability": 0.9833984375}, {"start": 731.8, "end": 732.44, "word": " النوني", "probability": 0.8681640625}, {"start": 732.44, "end": 733.08, "word": " لان", "probability": 0.5333251953125}, {"start": 733.08, "end": 733.26, "word": " لو", "probability": 0.77490234375}, {"start": 733.26, "end": 733.76, "word": " بدأت", "probability": 0.9296875}, {"start": 733.76, "end": 734.48, "word": " اعوض", "probability": 0.815673828125}, {"start": 734.48, "end": 734.96, "word": " بال", "probability": 0.98095703125}, {"start": 734.96, "end": 735.38, "word": " zero", "probability": 0.293701171875}, {"start": 735.38, "end": 736.0, "word": " بيطلع", "probability": 0.91279296875}, {"start": 736.0, "end": 736.32, "word": " من", "probability": 0.78076171875}, {"start": 736.32, "end": 736.94, "word": " ال", "probability": 0.78173828125}, {"start": 736.94, "end": 737.28, "word": " series", "probability": 0.919921875}, {"start": 737.28, "end": 737.58, "word": " اللي", "probability": 0.805908203125}, {"start": 737.58, "end": 738.06, "word": " عندنا", "probability": 0.9873046875}, {"start": 738.06, "end": 738.5, "word": " هذه", "probability": 0.491943359375}, {"start": 738.5, "end": 739.5, "word": " يبقى", "probability": 0.922119140625}, {"start": 739.5, "end": 739.8, "word": " هذا", "probability": 0.76708984375}, {"start": 739.8, "end": 740.0, "word": " من", "probability": 0.9736328125}, {"start": 740.0, "end": 740.52, "word": " أبسط", "probability": 0.916259765625}, {"start": 740.52, "end": 740.92, "word": " أنواع", "probability": 0.9493815104166666}, {"start": 740.92, "end": 741.62, "word": " المسائل", "probability": 0.9351806640625}, {"start": 741.62, "end": 741.84, "word": " اللي", "probability": 0.979248046875}, {"start": 741.84, "end": 742.04, "word": " لا", "probability": 0.71630859375}, {"start": 742.04, "end": 742.52, "word": " فيها", "probability": 0.947265625}, {"start": 742.52, "end": 743.14, "word": " تفكير", "probability": 0.9930419921875}, {"start": 743.14, "end": 743.34, "word": " ولا", "probability": 0.8681640625}, {"start": 743.34, "end": 744.2, "word": " عدشغل", "probability": 0.86923828125}, {"start": 744.2, "end": 744.9, "word": " روتيني", "probability": 0.9586181640625}, {"start": 744.9, "end": 745.54, "word": " طبيعي", "probability": 0.976318359375}, {"start": 745.54, "end": 746.48, "word": " طيب", "probability": 0.9381510416666666}, {"start": 746.48, "end": 747.4, "word": " تجلك", "probability": 0.47808837890625}, {"start": 747.4, "end": 747.9, "word": " الموضوع", "probability": 0.997802734375}, {"start": 747.9, "end": 748.52, "word": " شوية", "probability": 0.8795572916666666}, {"start": 748.52, "end": 749.92, "word": " نعطيك", "probability": 0.85546875}, {"start": 749.92, "end": 750.4, "word": " مثال", "probability": 0.98291015625}, {"start": 750.4, "end": 750.88, "word": " اخر", "probability": 0.727294921875}], "temperature": 1.0}, {"id": 32, "seek": 78829, "start": 766.09, "end": 788.29, "text": "يبقى example two find the taylor series for the function", "tokens": [1829, 3555, 4587, 7578, 1365, 732, 915, 264, 39224, 6746, 2638, 337, 264, 2445], "avg_logprob": -0.40859374205271404, "compression_ratio": 0.9375, "no_speech_prob": 0.0, "words": [{"start": 766.09, "end": 766.51, "word": "يبقى", "probability": 0.71759033203125}, {"start": 766.51, "end": 766.95, "word": " example", "probability": 0.44189453125}, {"start": 766.95, "end": 767.65, "word": " two", "probability": 0.54248046875}, {"start": 767.65, "end": 777.01, "word": " find", "probability": 0.60888671875}, {"start": 777.01, "end": 779.21, "word": " the", "probability": 0.8515625}, {"start": 779.21, "end": 780.15, "word": " taylor", "probability": 0.63916015625}, {"start": 780.15, "end": 782.75, "word": " series", "probability": 0.85693359375}, {"start": 782.75, "end": 787.11, "word": " for", "probability": 0.7998046875}, {"start": 787.11, "end": 787.39, "word": " the", "probability": 0.93603515625}, {"start": 787.39, "end": 788.29, "word": " function", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 33, "seek": 81795, "start": 792.95, "end": 817.95, "text": "f of x يساوي x في لن ال x at x يساوي a خلّي بريالك معناه هنا التكتيك اللي اتبعناه في المثال هناك هنتبعه هنا مع فارق في النتائج كيف؟", "tokens": [69, 295, 2031, 7251, 3794, 995, 45865, 2031, 8978, 5296, 1863, 2423, 2031, 412, 2031, 7251, 3794, 995, 45865, 257, 16490, 1211, 11703, 1829, 4724, 16572, 6027, 4117, 20449, 8315, 3224, 34105, 16712, 4117, 31371, 4117, 13672, 1829, 1975, 2655, 3555, 3615, 8315, 3224, 8978, 9673, 12984, 6027, 34105, 4117, 8032, 29399, 3555, 3615, 3224, 34105, 20449, 6156, 9640, 4587, 8978, 28239, 2655, 16373, 7435, 9122, 33911, 22807], "avg_logprob": -0.21648550811021225, "compression_ratio": 1.6159420289855073, "no_speech_prob": 0.0, "words": [{"start": 792.95, "end": 793.41, "word": "f", "probability": 0.117919921875}, {"start": 793.41, "end": 793.83, "word": " of", "probability": 0.36279296875}, {"start": 793.83, "end": 794.41, "word": " x", "probability": 0.8662109375}, {"start": 794.41, "end": 795.79, "word": " يساوي", "probability": 0.77557373046875}, {"start": 795.79, "end": 796.35, "word": " x", "probability": 0.919921875}, {"start": 796.35, "end": 796.89, "word": " في", "probability": 0.76416015625}, {"start": 796.89, "end": 797.31, "word": " لن", "probability": 0.824951171875}, {"start": 797.31, "end": 797.53, "word": " ال", "probability": 0.638671875}, {"start": 797.53, "end": 798.01, "word": " x", "probability": 0.3974609375}, {"start": 798.01, "end": 799.11, "word": " at", "probability": 0.810546875}, {"start": 799.11, "end": 799.99, "word": " x", "probability": 0.9755859375}, {"start": 799.99, "end": 800.89, "word": " يساوي", "probability": 0.9578857421875}, {"start": 800.89, "end": 801.53, "word": " a", "probability": 0.7880859375}, {"start": 801.53, "end": 810.27, "word": " خلّي", "probability": 0.6361083984375}, {"start": 810.27, "end": 810.71, "word": " بريالك", "probability": 0.542236328125}, {"start": 810.71, "end": 811.03, "word": " معناه", "probability": 0.85498046875}, {"start": 811.03, "end": 811.25, "word": " هنا", "probability": 0.91455078125}, {"start": 811.25, "end": 812.33, "word": " التكتيك", "probability": 0.8753662109375}, {"start": 812.33, "end": 812.47, "word": " اللي", "probability": 0.886474609375}, {"start": 812.47, "end": 813.01, "word": " اتبعناه", "probability": 0.9510904947916666}, {"start": 813.01, "end": 813.09, "word": " في", "probability": 0.79931640625}, {"start": 813.09, "end": 813.49, "word": " المثال", "probability": 0.9866536458333334}, {"start": 813.49, "end": 813.87, "word": " هناك", "probability": 0.9521484375}, {"start": 813.87, "end": 814.57, "word": " هنتبعه", "probability": 0.85244140625}, {"start": 814.57, "end": 814.91, "word": " هنا", "probability": 0.8974609375}, {"start": 814.91, "end": 815.63, "word": " مع", "probability": 0.97265625}, {"start": 815.63, "end": 816.27, "word": " فارق", "probability": 0.95947265625}, {"start": 816.27, "end": 816.45, "word": " في", "probability": 0.9775390625}, {"start": 816.45, "end": 817.29, "word": " النتائج", "probability": 0.9337158203125}, {"start": 817.29, "end": 817.95, "word": " كيف؟", "probability": 0.86279296875}], "temperature": 1.0}, {"id": 34, "seek": 83685, "start": 818.45, "end": 836.85, "text": "الان هى ال F of X يساوي X فى لن ال X بدنا نجيب ال F of E لان جالى يحسبها عند ال E يبقاش بصير E فى لن ال E لأن ال E بجداش يبقى نتيجة E فقط لغير", "tokens": [6027, 7649, 8032, 7578, 2423, 479, 295, 1783, 7251, 3794, 995, 45865, 1783, 6156, 7578, 5296, 1863, 2423, 1783, 47525, 8315, 8717, 7435, 1829, 3555, 2423, 479, 295, 462, 5296, 7649, 10874, 6027, 7578, 7251, 5016, 35457, 11296, 43242, 2423, 462, 7251, 3555, 4587, 33599, 4724, 9381, 13546, 462, 6156, 7578, 5296, 1863, 2423, 462, 5296, 33456, 2423, 462, 4724, 7435, 3215, 33599, 7251, 3555, 4587, 7578, 8717, 31371, 7435, 3660, 462, 6156, 47432, 5296, 17082, 13546], "avg_logprob": -0.2648237133637453, "compression_ratio": 1.6312056737588652, "no_speech_prob": 0.0, "words": [{"start": 818.45, "end": 819.03, "word": "الان", "probability": 0.719970703125}, {"start": 819.03, "end": 819.43, "word": " هى", "probability": 0.36590576171875}, {"start": 819.43, "end": 819.57, "word": " ال", "probability": 0.5185546875}, {"start": 819.57, "end": 819.89, "word": " F", "probability": 0.60693359375}, {"start": 819.89, "end": 820.31, "word": " of", "probability": 0.72509765625}, {"start": 820.31, "end": 820.67, "word": " X", "probability": 0.95166015625}, {"start": 820.67, "end": 821.45, "word": " يساوي", "probability": 0.8770751953125}, {"start": 821.45, "end": 821.87, "word": " X", "probability": 0.966796875}, {"start": 821.87, "end": 822.15, "word": " فى", "probability": 0.718505859375}, {"start": 822.15, "end": 822.47, "word": " لن", "probability": 0.90869140625}, {"start": 822.47, "end": 822.71, "word": " ال", "probability": 0.42626953125}, {"start": 822.71, "end": 823.11, "word": " X", "probability": 0.91748046875}, {"start": 823.11, "end": 824.03, "word": " بدنا", "probability": 0.68359375}, {"start": 824.03, "end": 824.53, "word": " نجيب", "probability": 0.986572265625}, {"start": 824.53, "end": 824.77, "word": " ال", "probability": 0.66259765625}, {"start": 824.77, "end": 825.39, "word": " F", "probability": 0.9765625}, {"start": 825.39, "end": 826.27, "word": " of", "probability": 0.962890625}, {"start": 826.27, "end": 826.63, "word": " E", "probability": 0.9013671875}, {"start": 826.63, "end": 827.33, "word": " لان", "probability": 0.4964599609375}, {"start": 827.33, "end": 827.57, "word": " جالى", "probability": 0.4914143880208333}, {"start": 827.57, "end": 828.07, "word": " يحسبها", "probability": 0.82470703125}, {"start": 828.07, "end": 828.27, "word": " عند", "probability": 0.95947265625}, {"start": 828.27, "end": 828.47, "word": " ال", "probability": 0.95361328125}, {"start": 828.47, "end": 828.73, "word": " E", "probability": 0.83349609375}, {"start": 828.73, "end": 829.59, "word": " يبقاش", "probability": 0.78466796875}, {"start": 829.59, "end": 830.19, "word": " بصير", "probability": 0.8287760416666666}, {"start": 830.19, "end": 830.81, "word": " E", "probability": 0.88037109375}, {"start": 830.81, "end": 831.49, "word": " فى", "probability": 0.97314453125}, {"start": 831.49, "end": 831.99, "word": " لن", "probability": 0.996826171875}, {"start": 831.99, "end": 832.33, "word": " ال", "probability": 0.89990234375}, {"start": 832.33, "end": 832.65, "word": " E", "probability": 0.99560546875}, {"start": 832.65, "end": 832.99, "word": " لأن", "probability": 0.7047119140625}, {"start": 832.99, "end": 833.09, "word": " ال", "probability": 0.884765625}, {"start": 833.09, "end": 833.17, "word": " E", "probability": 0.9931640625}, {"start": 833.17, "end": 833.87, "word": " بجداش", "probability": 0.57916259765625}, {"start": 833.87, "end": 834.87, "word": " يبقى", "probability": 0.9371337890625}, {"start": 834.87, "end": 835.39, "word": " نتيجة", "probability": 0.9288330078125}, {"start": 835.39, "end": 835.57, "word": " E", "probability": 0.953125}, {"start": 835.57, "end": 836.17, "word": " فقط", "probability": 0.989990234375}, {"start": 836.17, "end": 836.85, "word": " لغير", "probability": 0.8894856770833334}], "temperature": 1.0}, {"id": 35, "seek": 86733, "start": 837.45, "end": 867.33, "text": "بعد ذلك بدي أخد f prime of x هذا مشتقت حصل ضرب دلتين يبقى الدالة الأولى في مشتقة الدالة الثانية زائد الدالة الثانية في مشتقة الدالة الأولى يعني واحد زائد لن ال X يبقى الصار عندي f prime of e بدي سوى من؟ بدي سوى واحد زائد لن ال E لن ال E بقى 12", "tokens": [3555, 22488, 29910, 23275, 4724, 16254, 5551, 9778, 3215, 283, 5835, 295, 2031, 23758, 37893, 2655, 38149, 11331, 36520, 48812, 25513, 11778, 1211, 2655, 9957, 7251, 3555, 4587, 7578, 32748, 6027, 3660, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 6024, 104, 7649, 10632, 30767, 16373, 3215, 32748, 6027, 3660, 6024, 104, 7649, 10632, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 16247, 12610, 7578, 37495, 22653, 36764, 24401, 30767, 16373, 3215, 5296, 1863, 2423, 1783, 7251, 3555, 4587, 7578, 31767, 9640, 6225, 1863, 16254, 283, 5835, 295, 308, 4724, 16254, 8608, 2407, 7578, 9154, 22807, 4724, 16254, 8608, 2407, 7578, 36764, 24401, 30767, 16373, 3215, 5296, 1863, 2423, 462, 5296, 1863, 2423, 462, 4724, 4587, 7578, 2272], "avg_logprob": -0.23333333420256774, "compression_ratio": 2.1191709844559585, "no_speech_prob": 0.032928466796875, "words": [{"start": 837.45, "end": 837.95, "word": "بعد", "probability": 0.63818359375}, {"start": 837.95, "end": 838.17, "word": " ذلك", "probability": 0.7381591796875}, {"start": 838.17, "end": 838.45, "word": " بدي", "probability": 0.3343505859375}, {"start": 838.45, "end": 839.07, "word": " أخد", "probability": 0.614990234375}, {"start": 839.07, "end": 839.65, "word": " f", "probability": 0.404541015625}, {"start": 839.65, "end": 840.49, "word": " prime", "probability": 0.6181640625}, {"start": 840.49, "end": 840.89, "word": " of", "probability": 0.91748046875}, {"start": 840.89, "end": 841.29, "word": " x", "probability": 0.91064453125}, {"start": 841.29, "end": 842.03, "word": " هذا", "probability": 0.48828125}, {"start": 842.03, "end": 842.55, "word": " مشتقت", "probability": 0.765625}, {"start": 842.55, "end": 843.05, "word": " حصل", "probability": 0.864501953125}, {"start": 843.05, "end": 843.51, "word": " ضرب", "probability": 0.969970703125}, {"start": 843.51, "end": 844.73, "word": " دلتين", "probability": 0.6378173828125}, {"start": 844.73, "end": 845.11, "word": " يبقى", "probability": 0.95166015625}, {"start": 845.11, "end": 845.83, "word": " الدالة", "probability": 0.92138671875}, {"start": 845.83, "end": 846.65, "word": " الأولى", "probability": 0.9755859375}, {"start": 846.65, "end": 846.85, "word": " في", "probability": 0.845703125}, {"start": 846.85, "end": 847.57, "word": " مشتقة", "probability": 0.9129231770833334}, {"start": 847.57, "end": 848.29, "word": " الدالة", "probability": 0.9884440104166666}, {"start": 848.29, "end": 848.91, "word": " الثانية", "probability": 0.973876953125}, {"start": 848.91, "end": 849.81, "word": " زائد", "probability": 0.8479817708333334}, {"start": 849.81, "end": 850.43, "word": " الدالة", "probability": 0.9864908854166666}, {"start": 850.43, "end": 850.83, "word": " الثانية", "probability": 0.9661865234375}, {"start": 850.83, "end": 851.01, "word": " في", "probability": 0.97265625}, {"start": 851.01, "end": 851.63, "word": " مشتقة", "probability": 0.9723307291666666}, {"start": 851.63, "end": 852.23, "word": " الدالة", "probability": 0.9934895833333334}, {"start": 852.23, "end": 852.77, "word": " الأولى", "probability": 0.97265625}, {"start": 852.77, "end": 853.43, "word": " يعني", "probability": 0.892578125}, {"start": 853.43, "end": 854.21, "word": " واحد", "probability": 0.970947265625}, {"start": 854.21, "end": 854.83, "word": " زائد", "probability": 0.9845377604166666}, {"start": 854.83, "end": 855.25, "word": " لن", "probability": 0.75048828125}, {"start": 855.25, "end": 855.49, "word": " ال", "probability": 0.81494140625}, {"start": 855.49, "end": 855.93, "word": " X", "probability": 0.493408203125}, {"start": 855.93, "end": 856.85, "word": " يبقى", "probability": 0.9503173828125}, {"start": 856.85, "end": 857.27, "word": " الصار", "probability": 0.73095703125}, {"start": 857.27, "end": 857.79, "word": " عندي", "probability": 0.5897623697916666}, {"start": 857.79, "end": 858.39, "word": " f", "probability": 0.88720703125}, {"start": 858.39, "end": 859.27, "word": " prime", "probability": 0.9072265625}, {"start": 859.27, "end": 859.95, "word": " of", "probability": 0.98388671875}, {"start": 859.95, "end": 860.57, "word": " e", "probability": 0.443115234375}, {"start": 860.57, "end": 861.27, "word": " بدي", "probability": 0.659423828125}, {"start": 861.27, "end": 861.71, "word": " سوى", "probability": 0.6021321614583334}, {"start": 861.71, "end": 862.45, "word": " من؟", "probability": 0.6383056640625}, {"start": 862.45, "end": 862.81, "word": " بدي", "probability": 0.947998046875}, {"start": 862.81, "end": 863.31, "word": " سوى", "probability": 0.8971354166666666}, {"start": 863.31, "end": 864.25, "word": " واحد", "probability": 0.985107421875}, {"start": 864.25, "end": 865.11, "word": " زائد", "probability": 0.9861653645833334}, {"start": 865.11, "end": 865.63, "word": " لن", "probability": 0.98828125}, {"start": 865.63, "end": 865.87, "word": " ال", "probability": 0.873046875}, {"start": 865.87, "end": 866.01, "word": " E", "probability": 0.92626953125}, {"start": 866.01, "end": 866.33, "word": " لن", "probability": 0.942138671875}, {"start": 866.33, "end": 866.47, "word": " ال", "probability": 0.95458984375}, {"start": 866.47, "end": 866.57, "word": " E", "probability": 0.99365234375}, {"start": 866.57, "end": 866.83, "word": " بقى", "probability": 0.673095703125}, {"start": 866.83, "end": 867.33, "word": " 12", "probability": 0.23681640625}], "temperature": 1.0}, {"id": 36, "seek": 86997, "start": 868.01, "end": 869.97, "text": "يبقى النتيجة اتنين", "tokens": [1829, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 1975, 2655, 1863, 9957], "avg_logprob": -0.17277644689266497, "compression_ratio": 0.8292682926829268, "no_speech_prob": 0.0, "words": [{"start": 868.01, "end": 868.61, "word": "يبقى", "probability": 0.82470703125}, {"start": 868.61, "end": 869.35, "word": " النتيجة", "probability": 0.948974609375}, {"start": 869.35, "end": 869.97, "word": " اتنين", "probability": 0.77978515625}], "temperature": 1.0}, {"id": 37, "seek": 87976, "start": 870.68, "end": 879.76, "text": "اللي بعده ال F double prime of X مشتقة الواحد ب Zero مشتقة لن ال X واحد على X", "tokens": [6027, 20292, 39182, 3224, 2423, 479, 3834, 5835, 295, 1783, 37893, 2655, 28671, 2423, 14407, 24401, 4724, 17182, 37893, 2655, 28671, 5296, 1863, 2423, 1783, 36764, 24401, 15844, 1783], "avg_logprob": -0.4401041785875956, "compression_ratio": 1.2105263157894737, "no_speech_prob": 0.01396942138671875, "words": [{"start": 870.68, "end": 871.06, "word": "اللي", "probability": 0.26239013671875}, {"start": 871.06, "end": 871.6, "word": " بعده", "probability": 0.91015625}, {"start": 871.6, "end": 871.76, "word": " ال", "probability": 0.47705078125}, {"start": 871.76, "end": 872.16, "word": " F", "probability": 0.5771484375}, {"start": 872.16, "end": 872.66, "word": " double", "probability": 0.2666015625}, {"start": 872.66, "end": 873.44, "word": " prime", "probability": 0.88232421875}, {"start": 873.44, "end": 873.84, "word": " of", "probability": 0.9521484375}, {"start": 873.84, "end": 874.18, "word": " X", "probability": 0.771484375}, {"start": 874.18, "end": 874.86, "word": " مشتقة", "probability": 0.8766276041666666}, {"start": 874.86, "end": 875.48, "word": " الواحد", "probability": 0.8448893229166666}, {"start": 875.48, "end": 876.2, "word": " ب", "probability": 0.72705078125}, {"start": 876.2, "end": 876.56, "word": " Zero", "probability": 0.32861328125}, {"start": 876.56, "end": 877.28, "word": " مشتقة", "probability": 0.9466145833333334}, {"start": 877.28, "end": 877.64, "word": " لن", "probability": 0.4962158203125}, {"start": 877.64, "end": 877.86, "word": " ال", "probability": 0.69921875}, {"start": 877.86, "end": 878.28, "word": " X", "probability": 0.95361328125}, {"start": 878.28, "end": 879.14, "word": " واحد", "probability": 0.6829833984375}, {"start": 879.14, "end": 879.4, "word": " على", "probability": 0.68896484375}, {"start": 879.4, "end": 879.76, "word": " X", "probability": 0.90771484375}], "temperature": 1.0}, {"id": 38, "seek": 92923, "start": 900.77, "end": 929.23, "text": "على E تربيع المشتقة الرابعة عند ال X يساوي 2 على X تكييب المشتقة الرابعة عند ال E يساوي 2 على E تكييب المشتقة الخامسة بالنسبة إلى X يبقى سالم 6 على X أُص 4", "tokens": [3615, 23942, 462, 6055, 2288, 21292, 3615, 9673, 8592, 2655, 28671, 34892, 16758, 27884, 43242, 2423, 1783, 7251, 3794, 995, 45865, 568, 15844, 1783, 6055, 4117, 1829, 1829, 3555, 9673, 8592, 2655, 28671, 34892, 16758, 27884, 43242, 2423, 462, 7251, 3794, 995, 45865, 568, 15844, 462, 6055, 4117, 1829, 1829, 3555, 9673, 8592, 2655, 28671, 33962, 10943, 3794, 3660, 20666, 1863, 35457, 3660, 30731, 1783, 7251, 3555, 4587, 7578, 8608, 45340, 1386, 15844, 1783, 5551, 10859, 9381, 1017], "avg_logprob": -0.151898739835884, "compression_ratio": 1.9924812030075187, "no_speech_prob": 2.562999725341797e-06, "words": [{"start": 900.77, "end": 901.43, "word": "على", "probability": 0.6356201171875}, {"start": 901.43, "end": 901.65, "word": " E", "probability": 0.301025390625}, {"start": 901.65, "end": 902.39, "word": " تربيع", "probability": 0.7491455078125}, {"start": 902.39, "end": 903.75, "word": " المشتقة", "probability": 0.901123046875}, {"start": 903.75, "end": 904.67, "word": " الرابعة", "probability": 0.9737955729166666}, {"start": 904.67, "end": 905.87, "word": " عند", "probability": 0.9404296875}, {"start": 905.87, "end": 906.73, "word": " ال", "probability": 0.8896484375}, {"start": 906.73, "end": 907.19, "word": " X", "probability": 0.77880859375}, {"start": 907.19, "end": 908.41, "word": " يساوي", "probability": 0.8248291015625}, {"start": 908.41, "end": 909.29, "word": " 2", "probability": 0.5380859375}, {"start": 909.29, "end": 910.13, "word": " على", "probability": 0.8056640625}, {"start": 910.13, "end": 910.49, "word": " X", "probability": 0.97265625}, {"start": 910.49, "end": 911.17, "word": " تكييب", "probability": 0.8796875}, {"start": 911.17, "end": 912.97, "word": " المشتقة", "probability": 0.979248046875}, {"start": 912.97, "end": 914.37, "word": " الرابعة", "probability": 0.9869791666666666}, {"start": 914.37, "end": 915.37, "word": " عند", "probability": 0.974609375}, {"start": 915.37, "end": 915.83, "word": " ال", "probability": 0.951171875}, {"start": 915.83, "end": 916.13, "word": " E", "probability": 0.93212890625}, {"start": 916.13, "end": 917.33, "word": " يساوي", "probability": 0.9542236328125}, {"start": 917.33, "end": 918.13, "word": " 2", "probability": 0.99462890625}, {"start": 918.13, "end": 918.99, "word": " على", "probability": 0.90771484375}, {"start": 918.99, "end": 919.37, "word": " E", "probability": 0.9794921875}, {"start": 919.37, "end": 920.41, "word": " تكييب", "probability": 0.99130859375}, {"start": 920.41, "end": 921.33, "word": " المشتقة", "probability": 0.8553466796875}, {"start": 921.33, "end": 923.05, "word": " الخامسة", "probability": 0.9869384765625}, {"start": 923.05, "end": 923.97, "word": " بالنسبة", "probability": 0.988525390625}, {"start": 923.97, "end": 924.37, "word": " إلى", "probability": 0.33935546875}, {"start": 924.37, "end": 924.81, "word": " X", "probability": 0.9794921875}, {"start": 924.81, "end": 925.75, "word": " يبقى", "probability": 0.9765625}, {"start": 925.75, "end": 926.31, "word": " سالم", "probability": 0.90478515625}, {"start": 926.31, "end": 927.27, "word": " 6", "probability": 0.9482421875}, {"start": 927.27, "end": 928.15, "word": " على", "probability": 0.90380859375}, {"start": 928.15, "end": 928.47, "word": " X", "probability": 0.97412109375}, {"start": 928.47, "end": 928.79, "word": " أُص", "probability": 0.51318359375}, {"start": 928.79, "end": 929.23, "word": " 4", "probability": 0.8984375}], "temperature": 1.0}, {"id": 39, "seek": 95070, "start": 929.9, "end": 950.7, "text": "المشتقة الخامسة عند ال E هو يسوى سالب ستة على يوسع أربعة المشتقة السادسة F V I عند ال X هو يسوى أربعة وعشرين على X وخمسة", "tokens": [45340, 8592, 2655, 28671, 33962, 10943, 3794, 3660, 43242, 2423, 462, 31439, 7251, 3794, 2407, 7578, 8608, 6027, 3555, 8608, 2655, 3660, 15844, 7251, 41779, 3615, 5551, 25513, 27884, 9673, 8592, 2655, 28671, 21136, 18513, 3794, 3660, 479, 691, 286, 43242, 2423, 1783, 31439, 7251, 3794, 2407, 7578, 5551, 25513, 27884, 4032, 3615, 46309, 9957, 15844, 1783, 4032, 9778, 2304, 3794, 3660], "avg_logprob": -0.24640375848800417, "compression_ratio": 1.71900826446281, "no_speech_prob": 0.0, "words": [{"start": 929.9, "end": 930.96, "word": "المشتقة", "probability": 0.7960205078125}, {"start": 930.96, "end": 932.44, "word": " الخامسة", "probability": 0.956298828125}, {"start": 932.44, "end": 933.24, "word": " عند", "probability": 0.8896484375}, {"start": 933.24, "end": 933.56, "word": " ال", "probability": 0.7998046875}, {"start": 933.56, "end": 933.86, "word": " E", "probability": 0.59130859375}, {"start": 933.86, "end": 934.4, "word": " هو", "probability": 0.52294921875}, {"start": 934.4, "end": 935.04, "word": " يسوى", "probability": 0.7244873046875}, {"start": 935.04, "end": 935.88, "word": " سالب", "probability": 0.742431640625}, {"start": 935.88, "end": 937.12, "word": " ستة", "probability": 0.8746744791666666}, {"start": 937.12, "end": 937.74, "word": " على", "probability": 0.63134765625}, {"start": 937.74, "end": 938.34, "word": " يوسع", "probability": 0.7561848958333334}, {"start": 938.34, "end": 938.92, "word": " أربعة", "probability": 0.6819661458333334}, {"start": 938.92, "end": 940.44, "word": " المشتقة", "probability": 0.91455078125}, {"start": 940.44, "end": 941.44, "word": " السادسة", "probability": 0.9713134765625}, {"start": 941.44, "end": 942.24, "word": " F", "probability": 0.7666015625}, {"start": 942.24, "end": 943.4, "word": " V", "probability": 0.16552734375}, {"start": 943.4, "end": 944.24, "word": " I", "probability": 0.9404296875}, {"start": 944.24, "end": 945.02, "word": " عند", "probability": 0.9775390625}, {"start": 945.02, "end": 945.38, "word": " ال", "probability": 0.798828125}, {"start": 945.38, "end": 945.68, "word": " X", "probability": 0.98193359375}, {"start": 945.68, "end": 946.24, "word": " هو", "probability": 0.93701171875}, {"start": 946.24, "end": 946.92, "word": " يسوى", "probability": 0.921142578125}, {"start": 946.92, "end": 947.54, "word": " أربعة", "probability": 0.8533528645833334}, {"start": 947.54, "end": 948.56, "word": " وعشرين", "probability": 0.78570556640625}, {"start": 948.56, "end": 949.4, "word": " على", "probability": 0.83740234375}, {"start": 949.4, "end": 949.72, "word": " X", "probability": 0.63232421875}, {"start": 949.72, "end": 950.7, "word": " وخمسة", "probability": 0.7591552734375}], "temperature": 1.0}, {"id": 40, "seek": 98000, "start": 951.14, "end": 980.0, "text": "المشتقة السادسة عند ال E هو يسوى أربع وعشرين على E أس خمسة خلّالي في النتاج اللي توصلنا إليها من شكلها بدي أحاول أعرف شكل المشتقة النونية", "tokens": [45340, 8592, 2655, 28671, 21136, 18513, 3794, 3660, 43242, 2423, 462, 31439, 7251, 3794, 2407, 7578, 5551, 25513, 3615, 4032, 3615, 46309, 9957, 15844, 462, 5551, 3794, 16490, 2304, 3794, 3660, 16490, 1211, 11703, 6027, 1829, 8978, 28239, 2655, 26108, 13672, 1829, 33427, 36520, 8315, 11933, 20292, 11296, 9154, 13412, 28820, 11296, 4724, 16254, 5551, 5016, 995, 12610, 5551, 3615, 28480, 13412, 28820, 9673, 8592, 2655, 28671, 28239, 11536, 10632], "avg_logprob": -0.20829664779381013, "compression_ratio": 1.607843137254902, "no_speech_prob": 0.0, "words": [{"start": 951.14, "end": 952.22, "word": "المشتقة", "probability": 0.8316650390625}, {"start": 952.22, "end": 954.3, "word": " السادسة", "probability": 0.922119140625}, {"start": 954.3, "end": 955.04, "word": " عند", "probability": 0.9287109375}, {"start": 955.04, "end": 955.4, "word": " ال", "probability": 0.79736328125}, {"start": 955.4, "end": 955.64, "word": " E", "probability": 0.392578125}, {"start": 955.64, "end": 956.36, "word": " هو", "probability": 0.473876953125}, {"start": 956.36, "end": 957.02, "word": " يسوى", "probability": 0.80078125}, {"start": 957.02, "end": 957.58, "word": " أربع", "probability": 0.6451009114583334}, {"start": 957.58, "end": 958.56, "word": " وعشرين", "probability": 0.883544921875}, {"start": 958.56, "end": 959.44, "word": " على", "probability": 0.76611328125}, {"start": 959.44, "end": 960.02, "word": " E", "probability": 0.587890625}, {"start": 960.02, "end": 960.62, "word": " أس", "probability": 0.70703125}, {"start": 960.62, "end": 962.36, "word": " خمسة", "probability": 0.914794921875}, {"start": 962.36, "end": 971.44, "word": " خلّالي", "probability": 0.68896484375}, {"start": 971.44, "end": 971.48, "word": " في", "probability": 0.6455078125}, {"start": 971.48, "end": 971.98, "word": " النتاج", "probability": 0.7647298177083334}, {"start": 971.98, "end": 972.16, "word": " اللي", "probability": 0.867919921875}, {"start": 972.16, "end": 973.0, "word": " توصلنا", "probability": 0.94482421875}, {"start": 973.0, "end": 973.68, "word": " إليها", "probability": 0.8577473958333334}, {"start": 973.68, "end": 974.7, "word": " من", "probability": 0.8759765625}, {"start": 974.7, "end": 975.64, "word": " شكلها", "probability": 0.9715169270833334}, {"start": 975.64, "end": 976.24, "word": " بدي", "probability": 0.5572509765625}, {"start": 976.24, "end": 976.7, "word": " أحاول", "probability": 0.9676513671875}, {"start": 976.7, "end": 977.28, "word": " أعرف", "probability": 0.9630533854166666}, {"start": 977.28, "end": 977.82, "word": " شكل", "probability": 0.98779296875}, {"start": 977.82, "end": 978.9, "word": " المشتقة", "probability": 0.98193359375}, {"start": 978.9, "end": 980.0, "word": " النونية", "probability": 0.931640625}], "temperature": 1.0}, {"id": 41, "seek": 100106, "start": 982.02, "end": 1001.06, "text": "بس قبل ان تعرف شكل المشتق قانونية حاول اتبرمج النتاج اللتي وصلت اليها عشان نقدر نعرف ما هو شكل المشتق قانونية بقول والله كويس لو جتلي هذه اربعة و عشرين مش عضارة مضروب الأربعة صح؟", "tokens": [3555, 3794, 12174, 36150, 16472, 37279, 28480, 13412, 28820, 9673, 8592, 2655, 4587, 12174, 7649, 11536, 10632, 11331, 995, 12610, 1975, 2655, 26890, 2304, 7435, 28239, 2655, 26108, 13672, 31371, 4032, 36520, 2655, 45595, 11296, 6225, 8592, 7649, 8717, 28543, 2288, 8717, 3615, 28480, 19446, 31439, 13412, 28820, 9673, 8592, 2655, 4587, 12174, 7649, 11536, 10632, 4724, 39648, 16070, 43761, 9122, 45865, 3794, 45164, 10874, 2655, 20292, 29538, 1975, 25513, 27884, 4032, 6225, 46309, 9957, 37893, 6225, 11242, 9640, 3660, 3714, 11242, 32887, 3555, 16247, 25513, 27884, 20328, 5016, 22807], "avg_logprob": -0.19162087322591426, "compression_ratio": 1.861271676300578, "no_speech_prob": 0.0, "words": [{"start": 982.02, "end": 982.32, "word": "بس", "probability": 0.7049560546875}, {"start": 982.32, "end": 982.58, "word": " قبل", "probability": 0.953369140625}, {"start": 982.58, "end": 982.7, "word": " ان", "probability": 0.62158203125}, {"start": 982.7, "end": 983.1, "word": " تعرف", "probability": 0.7548828125}, {"start": 983.1, "end": 983.46, "word": " شكل", "probability": 0.853515625}, {"start": 983.46, "end": 984.04, "word": " المشتق", "probability": 0.764892578125}, {"start": 984.04, "end": 984.48, "word": " قانونية", "probability": 0.6912841796875}, {"start": 984.48, "end": 985.02, "word": " حاول", "probability": 0.8499348958333334}, {"start": 985.02, "end": 985.9, "word": " اتبرمج", "probability": 0.914453125}, {"start": 985.9, "end": 987.06, "word": " النتاج", "probability": 0.8543294270833334}, {"start": 987.06, "end": 987.5, "word": " اللتي", "probability": 0.559814453125}, {"start": 987.5, "end": 988.34, "word": " وصلت", "probability": 0.9659830729166666}, {"start": 988.34, "end": 989.24, "word": " اليها", "probability": 0.90966796875}, {"start": 989.24, "end": 989.88, "word": " عشان", "probability": 0.9469401041666666}, {"start": 989.88, "end": 990.26, "word": " نقدر", "probability": 0.9679361979166666}, {"start": 990.26, "end": 990.64, "word": " نعرف", "probability": 0.9934895833333334}, {"start": 990.64, "end": 990.82, "word": " ما", "probability": 0.865234375}, {"start": 990.82, "end": 991.0, "word": " هو", "probability": 0.63818359375}, {"start": 991.0, "end": 991.44, "word": " شكل", "probability": 0.96533203125}, {"start": 991.44, "end": 992.1, "word": " المشتق", "probability": 0.9940185546875}, {"start": 992.1, "end": 992.8, "word": " قانونية", "probability": 0.9913330078125}, {"start": 992.8, "end": 993.8, "word": " بقول", "probability": 0.9169921875}, {"start": 993.8, "end": 994.2, "word": " والله", "probability": 0.816162109375}, {"start": 994.2, "end": 994.88, "word": " كويس", "probability": 0.98583984375}, {"start": 994.88, "end": 995.2, "word": " لو", "probability": 0.6513671875}, {"start": 995.2, "end": 995.76, "word": " جتلي", "probability": 0.7183430989583334}, {"start": 995.76, "end": 996.24, "word": " هذه", "probability": 0.77099609375}, {"start": 996.24, "end": 997.46, "word": " اربعة", "probability": 0.745361328125}, {"start": 997.46, "end": 997.58, "word": " و", "probability": 0.91552734375}, {"start": 997.58, "end": 998.12, "word": " عشرين", "probability": 0.7716471354166666}, {"start": 998.12, "end": 998.34, "word": " مش", "probability": 0.9677734375}, {"start": 998.34, "end": 998.72, "word": " عضارة", "probability": 0.6807861328125}, {"start": 998.72, "end": 999.1, "word": " مضروب", "probability": 0.936279296875}, {"start": 999.1, "end": 999.6, "word": " الأربعة", "probability": 0.9015299479166666}, {"start": 999.6, "end": 1001.06, "word": " صح؟", "probability": 0.8548177083333334}], "temperature": 1.0}, {"id": 42, "seek": 102958, "start": 1001.36, "end": 1029.58, "text": "يبقى هذه أربعة factorial على X أُس خمسة طيب هذه ستة تلاتة factorial على X أُس أربعة طيب هذه اتنين factorial على X تكييب هذه سالب واحد factorial على X تربيع هذه zero factorial على X", "tokens": [1829, 3555, 4587, 7578, 29538, 5551, 25513, 27884, 36916, 15844, 1783, 5551, 10859, 3794, 16490, 2304, 3794, 3660, 23032, 1829, 3555, 29538, 8608, 2655, 3660, 6055, 1211, 9307, 3660, 36916, 15844, 1783, 5551, 10859, 3794, 5551, 25513, 27884, 23032, 1829, 3555, 29538, 1975, 2655, 1863, 9957, 36916, 15844, 1783, 6055, 4117, 1829, 1829, 3555, 29538, 8608, 6027, 3555, 36764, 24401, 36916, 15844, 1783, 6055, 2288, 21292, 3615, 29538, 4018, 36916, 15844, 1783], "avg_logprob": -0.1936001712328767, "compression_ratio": 1.9781021897810218, "no_speech_prob": 0.0, "words": [{"start": 1001.36, "end": 1002.04, "word": "يبقى", "probability": 0.9254150390625}, {"start": 1002.04, "end": 1002.46, "word": " هذه", "probability": 0.6640625}, {"start": 1002.46, "end": 1003.42, "word": " أربعة", "probability": 0.7554524739583334}, {"start": 1003.42, "end": 1004.62, "word": " factorial", "probability": 0.60009765625}, {"start": 1004.62, "end": 1005.78, "word": " على", "probability": 0.701171875}, {"start": 1005.78, "end": 1006.28, "word": " X", "probability": 0.427978515625}, {"start": 1006.28, "end": 1006.62, "word": " أُس", "probability": 0.4796142578125}, {"start": 1006.62, "end": 1007.3, "word": " خمسة", "probability": 0.932373046875}, {"start": 1007.3, "end": 1008.04, "word": " طيب", "probability": 0.8644205729166666}, {"start": 1008.04, "end": 1008.48, "word": " هذه", "probability": 0.70166015625}, {"start": 1008.48, "end": 1010.32, "word": " ستة", "probability": 0.9153645833333334}, {"start": 1010.32, "end": 1011.16, "word": " تلاتة", "probability": 0.909423828125}, {"start": 1011.16, "end": 1012.04, "word": " factorial", "probability": 0.81884765625}, {"start": 1012.04, "end": 1012.86, "word": " على", "probability": 0.861328125}, {"start": 1012.86, "end": 1013.18, "word": " X", "probability": 0.98681640625}, {"start": 1013.18, "end": 1013.5, "word": " أُس", "probability": 0.9119466145833334}, {"start": 1013.5, "end": 1013.98, "word": " أربعة", "probability": 0.9275716145833334}, {"start": 1013.98, "end": 1015.0, "word": " طيب", "probability": 0.9654947916666666}, {"start": 1015.0, "end": 1015.46, "word": " هذه", "probability": 0.91943359375}, {"start": 1015.46, "end": 1016.76, "word": " اتنين", "probability": 0.9376220703125}, {"start": 1016.76, "end": 1017.76, "word": " factorial", "probability": 0.79931640625}, {"start": 1017.76, "end": 1018.88, "word": " على", "probability": 0.90380859375}, {"start": 1018.88, "end": 1019.28, "word": " X", "probability": 0.99169921875}, {"start": 1019.28, "end": 1020.3, "word": " تكييب", "probability": 0.837158203125}, {"start": 1020.3, "end": 1020.94, "word": " هذه", "probability": 0.8427734375}, {"start": 1020.94, "end": 1022.0, "word": " سالب", "probability": 0.9586588541666666}, {"start": 1022.0, "end": 1022.48, "word": " واحد", "probability": 0.9833984375}, {"start": 1022.48, "end": 1023.34, "word": " factorial", "probability": 0.84423828125}, {"start": 1023.34, "end": 1024.1, "word": " على", "probability": 0.9130859375}, {"start": 1024.1, "end": 1024.48, "word": " X", "probability": 0.9951171875}, {"start": 1024.48, "end": 1025.12, "word": " تربيع", "probability": 0.7864990234375}, {"start": 1025.12, "end": 1026.04, "word": " هذه", "probability": 0.87255859375}, {"start": 1026.04, "end": 1027.14, "word": " zero", "probability": 0.42578125}, {"start": 1027.14, "end": 1028.28, "word": " factorial", "probability": 0.87451171875}, {"start": 1028.28, "end": 1029.18, "word": " على", "probability": 0.94873046875}, {"start": 1029.18, "end": 1029.58, "word": " X", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 43, "seek": 105692, "start": 1031.74, "end": 1056.92, "text": "يبقى هدول زيهم كمان، ماحدش أحسن من حد يبقى هذه تساوي أربعة factorial على E أس خمسة ناقص تلاتة factorial على E أس أربعة اتنين factorial على E تكيين سالب واحد factorial على E تربية Zero factorial على E", "tokens": [1829, 3555, 4587, 7578, 8032, 3215, 12610, 30767, 1829, 16095, 9122, 2304, 7649, 12399, 19446, 24401, 8592, 5551, 5016, 3794, 1863, 9154, 11331, 3215, 7251, 3555, 4587, 7578, 29538, 6055, 3794, 995, 45865, 5551, 25513, 27884, 36916, 15844, 462, 5551, 3794, 16490, 2304, 3794, 3660, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 36916, 15844, 462, 5551, 3794, 5551, 25513, 27884, 1975, 2655, 1863, 9957, 36916, 15844, 462, 6055, 4117, 1829, 9957, 8608, 6027, 3555, 36764, 24401, 36916, 15844, 462, 6055, 25513, 10632, 17182, 36916, 15844, 462], "avg_logprob": -0.1960227293047038, "compression_ratio": 1.8106508875739644, "no_speech_prob": 0.0, "words": [{"start": 1031.74, "end": 1032.16, "word": "يبقى", "probability": 0.8712158203125}, {"start": 1032.16, "end": 1032.52, "word": " هدول", "probability": 0.4878743489583333}, {"start": 1032.52, "end": 1033.02, "word": " زيهم", "probability": 0.93701171875}, {"start": 1033.02, "end": 1033.38, "word": " كمان،", "probability": 0.75494384765625}, {"start": 1033.38, "end": 1033.78, "word": " ماحدش", "probability": 0.8819986979166666}, {"start": 1033.78, "end": 1034.14, "word": " أحسن", "probability": 0.95166015625}, {"start": 1034.14, "end": 1034.32, "word": " من", "probability": 0.99267578125}, {"start": 1034.32, "end": 1034.68, "word": " حد", "probability": 0.916015625}, {"start": 1034.68, "end": 1035.66, "word": " يبقى", "probability": 0.91943359375}, {"start": 1035.66, "end": 1035.9, "word": " هذه", "probability": 0.418212890625}, {"start": 1035.9, "end": 1036.7, "word": " تساوي", "probability": 0.8995361328125}, {"start": 1036.7, "end": 1037.6, "word": " أربعة", "probability": 0.7403971354166666}, {"start": 1037.6, "end": 1038.4, "word": " factorial", "probability": 0.59912109375}, {"start": 1038.4, "end": 1039.36, "word": " على", "probability": 0.708984375}, {"start": 1039.36, "end": 1039.64, "word": " E", "probability": 0.464599609375}, {"start": 1039.64, "end": 1039.9, "word": " أس", "probability": 0.4039306640625}, {"start": 1039.9, "end": 1040.66, "word": " خمسة", "probability": 0.877685546875}, {"start": 1040.66, "end": 1041.6, "word": " ناقص", "probability": 0.92724609375}, {"start": 1041.6, "end": 1042.24, "word": " تلاتة", "probability": 0.846923828125}, {"start": 1042.24, "end": 1043.12, "word": " factorial", "probability": 0.8310546875}, {"start": 1043.12, "end": 1044.02, "word": " على", "probability": 0.86865234375}, {"start": 1044.02, "end": 1044.34, "word": " E", "probability": 0.99072265625}, {"start": 1044.34, "end": 1044.62, "word": " أس", "probability": 0.97021484375}, {"start": 1044.62, "end": 1045.12, "word": " أربعة", "probability": 0.89208984375}, {"start": 1045.12, "end": 1046.44, "word": " اتنين", "probability": 0.888916015625}, {"start": 1046.44, "end": 1047.5, "word": " factorial", "probability": 0.83154296875}, {"start": 1047.5, "end": 1048.42, "word": " على", "probability": 0.88720703125}, {"start": 1048.42, "end": 1048.84, "word": " E", "probability": 0.99072265625}, {"start": 1048.84, "end": 1049.56, "word": " تكيين", "probability": 0.843994140625}, {"start": 1049.56, "end": 1050.48, "word": " سالب", "probability": 0.9689127604166666}, {"start": 1050.48, "end": 1050.9, "word": " واحد", "probability": 0.987060546875}, {"start": 1050.9, "end": 1051.8, "word": " factorial", "probability": 0.86669921875}, {"start": 1051.8, "end": 1052.64, "word": " على", "probability": 0.9189453125}, {"start": 1052.64, "end": 1052.94, "word": " E", "probability": 0.99609375}, {"start": 1052.94, "end": 1053.58, "word": " تربية", "probability": 0.8375651041666666}, {"start": 1053.58, "end": 1054.36, "word": " Zero", "probability": 0.495361328125}, {"start": 1054.36, "end": 1055.28, "word": " factorial", "probability": 0.88037109375}, {"start": 1055.28, "end": 1056.38, "word": " على", "probability": 0.9443359375}, {"start": 1056.38, "end": 1056.92, "word": " E", "probability": 0.98974609375}], "temperature": 1.0}, {"id": 44, "seek": 107413, "start": 1059.31, "end": 1074.13, "text": "طب يشوف الان لو ضليت ماشي بقدر اوصل لشكل المشتقة النونية as a function of x ولا لا تعالى شوف هذا المشتقة رقم كده؟", "tokens": [9566, 3555, 7251, 8592, 38688, 2423, 7649, 45164, 48812, 20292, 2655, 3714, 33599, 1829, 4724, 28543, 2288, 1975, 2407, 36520, 5296, 8592, 28820, 9673, 8592, 2655, 28671, 28239, 11536, 10632, 382, 257, 2445, 295, 2031, 49429, 20193, 37279, 6027, 7578, 13412, 38688, 23758, 9673, 8592, 2655, 28671, 12602, 4587, 2304, 9122, 3215, 3224, 22807], "avg_logprob": -0.2573863766410134, "compression_ratio": 1.3795620437956204, "no_speech_prob": 0.0, "words": [{"start": 1059.31, "end": 1059.59, "word": "طب", "probability": 0.52142333984375}, {"start": 1059.59, "end": 1059.97, "word": " يشوف", "probability": 0.7262369791666666}, {"start": 1059.97, "end": 1060.39, "word": " الان", "probability": 0.57611083984375}, {"start": 1060.39, "end": 1061.21, "word": " لو", "probability": 0.822265625}, {"start": 1061.21, "end": 1061.91, "word": " ضليت", "probability": 0.8426106770833334}, {"start": 1061.91, "end": 1062.81, "word": " ماشي", "probability": 0.9466145833333334}, {"start": 1062.81, "end": 1063.63, "word": " بقدر", "probability": 0.9392903645833334}, {"start": 1063.63, "end": 1064.29, "word": " اوصل", "probability": 0.81591796875}, {"start": 1064.29, "end": 1065.03, "word": " لشكل", "probability": 0.95361328125}, {"start": 1065.03, "end": 1066.03, "word": " المشتقة", "probability": 0.9024658203125}, {"start": 1066.03, "end": 1066.93, "word": " النونية", "probability": 0.92919921875}, {"start": 1066.93, "end": 1067.35, "word": " as", "probability": 0.80517578125}, {"start": 1067.35, "end": 1067.73, "word": " a", "probability": 0.96728515625}, {"start": 1067.73, "end": 1068.21, "word": " function", "probability": 0.9716796875}, {"start": 1068.21, "end": 1068.49, "word": " of", "probability": 0.978515625}, {"start": 1068.49, "end": 1068.77, "word": " x", "probability": 0.6171875}, {"start": 1068.77, "end": 1069.03, "word": " ولا", "probability": 0.87744140625}, {"start": 1069.03, "end": 1069.43, "word": " لا", "probability": 0.71826171875}, {"start": 1069.43, "end": 1070.49, "word": " تعالى", "probability": 0.6583658854166666}, {"start": 1070.49, "end": 1070.85, "word": " شوف", "probability": 0.885986328125}, {"start": 1070.85, "end": 1072.27, "word": " هذا", "probability": 0.254150390625}, {"start": 1072.27, "end": 1072.85, "word": " المشتقة", "probability": 0.9599609375}, {"start": 1072.85, "end": 1073.31, "word": " رقم", "probability": 0.9912109375}, {"start": 1073.31, "end": 1074.13, "word": " كده؟", "probability": 0.7408447265625}], "temperature": 1.0}, {"id": 45, "seek": 109909, "start": 1075.0, "end": 1099.1, "text": "هذه ستة الأُس أقل من ستة ال factorial باتنين والأُس اللي عندي أقل بواحد طيب كويس ستة خمسة أربعة طيب نيجي المشتقة الخامسة خمسة أربعة ثمانية الرابعة أربعة ثلاثة اتنين وهكذا إذا بقدر أجيب شكل مشتقة قانونية ولا لا؟", "tokens": [3224, 24192, 8608, 2655, 3660, 16247, 10859, 3794, 5551, 4587, 1211, 9154, 8608, 2655, 3660, 2423, 36916, 4724, 9307, 1863, 9957, 16070, 10721, 10859, 3794, 13672, 1829, 18871, 16254, 5551, 4587, 1211, 4724, 14407, 24401, 23032, 1829, 3555, 9122, 45865, 3794, 8608, 2655, 3660, 16490, 2304, 3794, 3660, 5551, 25513, 27884, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 9673, 8592, 2655, 28671, 33962, 10943, 3794, 3660, 16490, 2304, 3794, 3660, 5551, 25513, 27884, 38637, 2304, 7649, 10632, 34892, 16758, 27884, 5551, 25513, 27884, 38637, 1211, 5718, 104, 3660, 1975, 2655, 1863, 9957, 37037, 4117, 15730, 11933, 15730, 4724, 28543, 2288, 5551, 7435, 1829, 3555, 13412, 28820, 37893, 2655, 28671, 12174, 7649, 11536, 10632, 49429, 20193, 22807], "avg_logprob": -0.20259081145637056, "compression_ratio": 1.8838383838383839, "no_speech_prob": 0.0, "words": [{"start": 1075.0, "end": 1075.58, "word": "هذه", "probability": 0.52947998046875}, {"start": 1075.58, "end": 1076.98, "word": " ستة", "probability": 0.7031656901041666}, {"start": 1076.98, "end": 1078.12, "word": " الأُس", "probability": 0.4976399739583333}, {"start": 1078.12, "end": 1078.5, "word": " أقل", "probability": 0.9435221354166666}, {"start": 1078.5, "end": 1078.68, "word": " من", "probability": 0.9912109375}, {"start": 1078.68, "end": 1079.4, "word": " ستة", "probability": 0.9171549479166666}, {"start": 1079.4, "end": 1079.66, "word": " ال", "probability": 0.57666015625}, {"start": 1079.66, "end": 1080.26, "word": " factorial", "probability": 0.66796875}, {"start": 1080.26, "end": 1081.06, "word": " باتنين", "probability": 0.7706298828125}, {"start": 1081.06, "end": 1081.98, "word": " والأُس", "probability": 0.8253173828125}, {"start": 1081.98, "end": 1082.16, "word": " اللي", "probability": 0.876220703125}, {"start": 1082.16, "end": 1082.44, "word": " عندي", "probability": 0.86572265625}, {"start": 1082.44, "end": 1082.8, "word": " أقل", "probability": 0.9728190104166666}, {"start": 1082.8, "end": 1083.4, "word": " بواحد", "probability": 0.8714192708333334}, {"start": 1083.4, "end": 1084.08, "word": " طيب", "probability": 0.7882486979166666}, {"start": 1084.08, "end": 1084.6, "word": " كويس", "probability": 0.9659830729166666}, {"start": 1084.6, "end": 1086.0, "word": " ستة", "probability": 0.966796875}, {"start": 1086.0, "end": 1087.1, "word": " خمسة", "probability": 0.9453125}, {"start": 1087.1, "end": 1087.62, "word": " أربعة", "probability": 0.8717447916666666}, {"start": 1087.62, "end": 1088.36, "word": " طيب", "probability": 0.919921875}, {"start": 1088.36, "end": 1088.58, "word": " نيجي", "probability": 0.833740234375}, {"start": 1088.58, "end": 1089.14, "word": " المشتقة", "probability": 0.8299560546875}, {"start": 1089.14, "end": 1089.88, "word": " الخامسة", "probability": 0.9818115234375}, {"start": 1089.88, "end": 1090.84, "word": " خمسة", "probability": 0.9560546875}, {"start": 1090.84, "end": 1091.6, "word": " أربعة", "probability": 0.9287109375}, {"start": 1091.6, "end": 1092.32, "word": " ثمانية", "probability": 0.8048095703125}, {"start": 1092.32, "end": 1093.46, "word": " الرابعة", "probability": 0.91845703125}, {"start": 1093.46, "end": 1094.44, "word": " أربعة", "probability": 0.8836263020833334}, {"start": 1094.44, "end": 1095.16, "word": " ثلاثة", "probability": 0.9376953125}, {"start": 1095.16, "end": 1095.48, "word": " اتنين", "probability": 0.92919921875}, {"start": 1095.48, "end": 1096.16, "word": " وهكذا", "probability": 0.7799479166666666}, {"start": 1096.16, "end": 1096.7, "word": " إذا", "probability": 0.738037109375}, {"start": 1096.7, "end": 1097.04, "word": " بقدر", "probability": 0.9436848958333334}, {"start": 1097.04, "end": 1097.18, "word": " أجيب", "probability": 0.6632080078125}, {"start": 1097.18, "end": 1097.42, "word": " شكل", "probability": 0.954833984375}, {"start": 1097.42, "end": 1097.88, "word": " مشتقة", "probability": 0.94287109375}, {"start": 1097.88, "end": 1098.3, "word": " قانونية", "probability": 0.7664794921875}, {"start": 1098.3, "end": 1098.48, "word": " ولا", "probability": 0.88671875}, {"start": 1098.48, "end": 1099.1, "word": " لا؟", "probability": 0.708251953125}], "temperature": 1.0}, {"id": 46, "seek": 111681, "start": 1099.39, "end": 1116.81, "text": "يبقى من هذه إذا هذه بدأت سوى سيبونا السلب نتفهم عليه ماعنداش مشكلة يبقى هذه ال N بدأت تبقى أجل منها بمقدار 2 يبقى N نقص 2 factorial على X أُس", "tokens": [1829, 3555, 4587, 7578, 9154, 29538, 11933, 15730, 29538, 47525, 10721, 2655, 8608, 2407, 7578, 8608, 1829, 3555, 2407, 8315, 21136, 46152, 8717, 2655, 5172, 16095, 47356, 19446, 3615, 41260, 33599, 37893, 28820, 3660, 7251, 3555, 4587, 7578, 29538, 2423, 426, 47525, 10721, 2655, 6055, 3555, 4587, 7578, 5551, 7435, 1211, 9154, 11296, 4724, 2304, 28543, 9640, 568, 7251, 3555, 4587, 7578, 426, 8717, 4587, 9381, 568, 36916, 15844, 1783, 5551, 10859, 3794], "avg_logprob": -0.24788850868070447, "compression_ratio": 1.4875, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1099.39, "end": 1099.93, "word": "يبقى", "probability": 0.77337646484375}, {"start": 1099.93, "end": 1100.11, "word": " من", "probability": 0.52587890625}, {"start": 1100.11, "end": 1100.57, "word": " هذه", "probability": 0.7158203125}, {"start": 1100.57, "end": 1100.93, "word": " إذا", "probability": 0.77587890625}, {"start": 1100.93, "end": 1101.45, "word": " هذه", "probability": 0.74267578125}, {"start": 1101.45, "end": 1101.97, "word": " بدأت", "probability": 0.5166015625}, {"start": 1101.97, "end": 1102.27, "word": " سوى", "probability": 0.6783040364583334}, {"start": 1102.27, "end": 1103.13, "word": " سيبونا", "probability": 0.692333984375}, {"start": 1103.13, "end": 1103.51, "word": " السلب", "probability": 0.55224609375}, {"start": 1103.51, "end": 1104.07, "word": " نتفهم", "probability": 0.9073486328125}, {"start": 1104.07, "end": 1104.35, "word": " عليه", "probability": 0.9462890625}, {"start": 1104.35, "end": 1104.77, "word": " ماعنداش", "probability": 0.75537109375}, {"start": 1104.77, "end": 1105.43, "word": " مشكلة", "probability": 0.98095703125}, {"start": 1105.43, "end": 1106.29, "word": " يبقى", "probability": 0.9622802734375}, {"start": 1106.29, "end": 1106.63, "word": " هذه", "probability": 0.83154296875}, {"start": 1106.63, "end": 1106.89, "word": " ال", "probability": 0.97607421875}, {"start": 1106.89, "end": 1107.15, "word": " N", "probability": 0.63916015625}, {"start": 1107.15, "end": 1107.73, "word": " بدأت", "probability": 0.7400716145833334}, {"start": 1107.73, "end": 1108.13, "word": " تبقى", "probability": 0.9178466796875}, {"start": 1108.13, "end": 1108.81, "word": " أجل", "probability": 0.8123372395833334}, {"start": 1108.81, "end": 1109.33, "word": " منها", "probability": 0.994140625}, {"start": 1109.33, "end": 1110.35, "word": " بمقدار", "probability": 0.97802734375}, {"start": 1110.35, "end": 1110.97, "word": " 2", "probability": 0.70068359375}, {"start": 1110.97, "end": 1111.97, "word": " يبقى", "probability": 0.9710693359375}, {"start": 1111.97, "end": 1112.27, "word": " N", "probability": 0.9052734375}, {"start": 1112.27, "end": 1113.11, "word": " نقص", "probability": 0.7840169270833334}, {"start": 1113.11, "end": 1113.65, "word": " 2", "probability": 0.8896484375}, {"start": 1113.65, "end": 1114.71, "word": " factorial", "probability": 0.63623046875}, {"start": 1114.71, "end": 1115.57, "word": " على", "probability": 0.8095703125}, {"start": 1115.57, "end": 1116.05, "word": " X", "probability": 0.71875}, {"start": 1116.05, "end": 1116.81, "word": " أُس", "probability": 0.7044270833333334}], "temperature": 1.0}, {"id": 47, "seek": 113303, "start": 1117.93, "end": 1133.03, "text": "أقل منه بواحد يبقى N ناقص واحد بقية ان الإشارة موجب سالب موجب سالب موجب و هكذا إذا بتروح تكتب لي ما يأتي ناقص واحد to the power N", "tokens": [10721, 4587, 1211, 9154, 3224, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 426, 8717, 995, 4587, 9381, 36764, 24401, 4724, 4587, 10632, 16472, 33688, 8592, 9640, 3660, 3714, 29245, 3555, 8608, 6027, 3555, 3714, 29245, 3555, 8608, 6027, 3555, 3714, 29245, 3555, 4032, 8032, 4117, 15730, 11933, 15730, 39894, 32887, 5016, 6055, 4117, 2655, 3555, 32239, 19446, 7251, 10721, 31371, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 426], "avg_logprob": -0.20444541539944394, "compression_ratio": 1.5797101449275361, "no_speech_prob": 0.0, "words": [{"start": 1117.93, "end": 1118.49, "word": "أقل", "probability": 0.7260335286458334}, {"start": 1118.49, "end": 1118.77, "word": " منه", "probability": 0.59454345703125}, {"start": 1118.77, "end": 1119.25, "word": " بواحد", "probability": 0.8740234375}, {"start": 1119.25, "end": 1119.75, "word": " يبقى", "probability": 0.8726806640625}, {"start": 1119.75, "end": 1120.13, "word": " N", "probability": 0.57177734375}, {"start": 1120.13, "end": 1121.19, "word": " ناقص", "probability": 0.9056396484375}, {"start": 1121.19, "end": 1121.65, "word": " واحد", "probability": 0.98876953125}, {"start": 1121.65, "end": 1122.91, "word": " بقية", "probability": 0.6328125}, {"start": 1122.91, "end": 1123.25, "word": " ان", "probability": 0.50244140625}, {"start": 1123.25, "end": 1123.87, "word": " الإشارة", "probability": 0.81488037109375}, {"start": 1123.87, "end": 1124.35, "word": " موجب", "probability": 0.9225260416666666}, {"start": 1124.35, "end": 1124.89, "word": " سالب", "probability": 0.92333984375}, {"start": 1124.89, "end": 1125.43, "word": " موجب", "probability": 0.9820963541666666}, {"start": 1125.43, "end": 1125.89, "word": " سالب", "probability": 0.9763997395833334}, {"start": 1125.89, "end": 1126.27, "word": " موجب", "probability": 0.9265950520833334}, {"start": 1126.27, "end": 1126.39, "word": " و", "probability": 0.60107421875}, {"start": 1126.39, "end": 1126.97, "word": " هكذا", "probability": 0.75927734375}, {"start": 1126.97, "end": 1127.75, "word": " إذا", "probability": 0.578369140625}, {"start": 1127.75, "end": 1128.69, "word": " بتروح", "probability": 0.8167317708333334}, {"start": 1128.69, "end": 1129.21, "word": " تكتب", "probability": 0.9488525390625}, {"start": 1129.21, "end": 1129.39, "word": " لي", "probability": 0.7060546875}, {"start": 1129.39, "end": 1129.69, "word": " ما", "probability": 0.96875}, {"start": 1129.69, "end": 1130.23, "word": " يأتي", "probability": 0.9256184895833334}, {"start": 1130.23, "end": 1131.05, "word": " ناقص", "probability": 0.9755859375}, {"start": 1131.05, "end": 1131.59, "word": " واحد", "probability": 0.990966796875}, {"start": 1131.59, "end": 1131.81, "word": " to", "probability": 0.93994140625}, {"start": 1131.81, "end": 1132.05, "word": " the", "probability": 0.8896484375}, {"start": 1132.05, "end": 1132.63, "word": " power", "probability": 0.89501953125}, {"start": 1132.63, "end": 1133.03, "word": " N", "probability": 0.6982421875}], "temperature": 1.0}, {"id": 48, "seek": 116080, "start": 1133.66, "end": 1160.8, "text": "وبتجي ترجح حسابتك إذا حسابتك دقيقة مافي مشكلة خلاص بكون انتهينا إذا لجيت الإشارة غلط بس ضيف لل N واحد يبقى حلت مشكلتنا يبقى يا بحط أس N يا أس N زائد واحد حسب طبيعة مين المسألة اللي عندي تمام تمام طيب يبقى أنا لو بدأت حطيت ال N هذه مثلا بتنين", "tokens": [37746, 2655, 7435, 1829, 6055, 47341, 5016, 11331, 3794, 16758, 2655, 4117, 11933, 15730, 11331, 3794, 16758, 2655, 4117, 11778, 38436, 28671, 19446, 41185, 37893, 28820, 3660, 16490, 1211, 33546, 4724, 30544, 16472, 47395, 1829, 8315, 11933, 15730, 5296, 7435, 36081, 33688, 8592, 9640, 3660, 32771, 1211, 9566, 4724, 3794, 48812, 33911, 24976, 426, 36764, 24401, 7251, 3555, 4587, 7578, 11331, 1211, 2655, 37893, 28820, 2655, 8315, 7251, 3555, 4587, 7578, 35186, 4724, 5016, 9566, 5551, 3794, 426, 35186, 5551, 3794, 426, 30767, 16373, 3215, 36764, 24401, 11331, 35457, 23032, 21292, 27884, 3714, 9957, 9673, 3794, 10721, 37977, 13672, 1829, 18871, 16254, 46811, 10943, 46811, 10943, 23032, 1829, 3555, 7251, 3555, 4587, 7578, 41850, 45164, 47525, 10721, 2655, 11331, 9566, 36081, 2423, 426, 29538, 50113, 15040, 39894, 1863, 9957], "avg_logprob": -0.19242788025966057, "compression_ratio": 1.881057268722467, "no_speech_prob": 0.0, "words": [{"start": 1133.66, "end": 1134.34, "word": "وبتجي", "probability": 0.672821044921875}, {"start": 1134.34, "end": 1134.86, "word": " ترجح", "probability": 0.7957356770833334}, {"start": 1134.86, "end": 1135.7, "word": " حسابتك", "probability": 0.912109375}, {"start": 1135.7, "end": 1135.92, "word": " إذا", "probability": 0.6842041015625}, {"start": 1135.92, "end": 1136.68, "word": " حسابتك", "probability": 0.976171875}, {"start": 1136.68, "end": 1137.26, "word": " دقيقة", "probability": 0.9806315104166666}, {"start": 1137.26, "end": 1137.56, "word": " مافي", "probability": 0.91552734375}, {"start": 1137.56, "end": 1137.98, "word": " مشكلة", "probability": 0.9910481770833334}, {"start": 1137.98, "end": 1138.34, "word": " خلاص", "probability": 0.9539388020833334}, {"start": 1138.34, "end": 1138.64, "word": " بكون", "probability": 0.7080078125}, {"start": 1138.64, "end": 1139.18, "word": " انتهينا", "probability": 0.828857421875}, {"start": 1139.18, "end": 1139.9, "word": " إذا", "probability": 0.902099609375}, {"start": 1139.9, "end": 1140.34, "word": " لجيت", "probability": 0.8649088541666666}, {"start": 1140.34, "end": 1140.98, "word": " الإشارة", "probability": 0.9300537109375}, {"start": 1140.98, "end": 1141.5, "word": " غلط", "probability": 0.9876302083333334}, {"start": 1141.5, "end": 1142.06, "word": " بس", "probability": 0.955322265625}, {"start": 1142.06, "end": 1142.6, "word": " ضيف", "probability": 0.937744140625}, {"start": 1142.6, "end": 1142.94, "word": " لل", "probability": 0.89990234375}, {"start": 1142.94, "end": 1143.3, "word": " N", "probability": 0.459228515625}, {"start": 1143.3, "end": 1144.0, "word": " واحد", "probability": 0.94775390625}, {"start": 1144.0, "end": 1144.48, "word": " يبقى", "probability": 0.6646728515625}, {"start": 1144.48, "end": 1145.04, "word": " حلت", "probability": 0.71337890625}, {"start": 1145.04, "end": 1145.84, "word": " مشكلتنا", "probability": 0.987060546875}, {"start": 1145.84, "end": 1146.5, "word": " يبقى", "probability": 0.9056396484375}, {"start": 1146.5, "end": 1146.62, "word": " يا", "probability": 0.270263671875}, {"start": 1146.62, "end": 1147.02, "word": " بحط", "probability": 0.81396484375}, {"start": 1147.02, "end": 1147.34, "word": " أس", "probability": 0.556396484375}, {"start": 1147.34, "end": 1147.7, "word": " N", "probability": 0.8115234375}, {"start": 1147.7, "end": 1148.4, "word": " يا", "probability": 0.2958984375}, {"start": 1148.4, "end": 1148.86, "word": " أس", "probability": 0.7449951171875}, {"start": 1148.86, "end": 1149.14, "word": " N", "probability": 0.94775390625}, {"start": 1149.14, "end": 1149.6, "word": " زائد", "probability": 0.8680013020833334}, {"start": 1149.6, "end": 1149.92, "word": " واحد", "probability": 0.9443359375}, {"start": 1149.92, "end": 1150.3, "word": " حسب", "probability": 0.988525390625}, {"start": 1150.3, "end": 1150.78, "word": " طبيعة", "probability": 0.9514973958333334}, {"start": 1150.78, "end": 1151.26, "word": " مين", "probability": 0.6534423828125}, {"start": 1151.26, "end": 1152.4, "word": " المسألة", "probability": 0.9691162109375}, {"start": 1152.4, "end": 1152.9, "word": " اللي", "probability": 0.94189453125}, {"start": 1152.9, "end": 1153.28, "word": " عندي", "probability": 0.885986328125}, {"start": 1153.28, "end": 1154.02, "word": " تمام", "probability": 0.9189453125}, {"start": 1154.02, "end": 1154.48, "word": " تمام", "probability": 0.791748046875}, {"start": 1154.48, "end": 1155.3, "word": " طيب", "probability": 0.9482421875}, {"start": 1155.3, "end": 1155.92, "word": " يبقى", "probability": 0.9703369140625}, {"start": 1155.92, "end": 1156.2, "word": " أنا", "probability": 0.53857421875}, {"start": 1156.2, "end": 1156.42, "word": " لو", "probability": 0.990234375}, {"start": 1156.42, "end": 1157.06, "word": " بدأت", "probability": 0.9547526041666666}, {"start": 1157.06, "end": 1158.06, "word": " حطيت", "probability": 0.9143880208333334}, {"start": 1158.06, "end": 1158.4, "word": " ال", "probability": 0.9853515625}, {"start": 1158.4, "end": 1158.74, "word": " N", "probability": 0.927734375}, {"start": 1158.74, "end": 1159.2, "word": " هذه", "probability": 0.4345703125}, {"start": 1159.2, "end": 1159.8, "word": " مثلا", "probability": 0.9228515625}, {"start": 1159.8, "end": 1160.8, "word": " بتنين", "probability": 0.7418619791666666}], "temperature": 1.0}, {"id": 49, "seek": 118270, "start": 1161.32, "end": 1182.7, "text": "يبقى 2 بيصير هذه موجب المشتقة الثانية N ب2 يعني المشتقة التانية بيصير هذه ايش موجب هذه zero factorial اللي هي بواحد اتنين ناقص واحد اللي هي بواحد يعني واحد على X المشتقة التانية طلع للمشتقة التانية واحد ال X صحيح", "tokens": [1829, 3555, 4587, 7578, 568, 4724, 1829, 9381, 13546, 29538, 3714, 29245, 3555, 9673, 8592, 2655, 28671, 6024, 104, 7649, 10632, 426, 4724, 17, 37495, 22653, 9673, 8592, 2655, 28671, 16712, 7649, 10632, 4724, 1829, 9381, 13546, 29538, 1975, 1829, 8592, 3714, 29245, 3555, 29538, 4018, 36916, 13672, 1829, 39896, 4724, 14407, 24401, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 36764, 24401, 13672, 1829, 39896, 4724, 14407, 24401, 37495, 22653, 36764, 24401, 15844, 1783, 9673, 8592, 2655, 28671, 16712, 7649, 10632, 23032, 1211, 3615, 5296, 19528, 8592, 2655, 28671, 16712, 7649, 10632, 36764, 24401, 2423, 1783, 20328, 5016, 1829, 5016], "avg_logprob": -0.19669118056110307, "compression_ratio": 2.1403508771929824, "no_speech_prob": 0.0, "words": [{"start": 1161.32, "end": 1162.12, "word": "يبقى", "probability": 0.868408203125}, {"start": 1162.12, "end": 1162.48, "word": " 2", "probability": 0.5576171875}, {"start": 1162.48, "end": 1162.98, "word": " بيصير", "probability": 0.7423095703125}, {"start": 1162.98, "end": 1163.36, "word": " هذه", "probability": 0.40771484375}, {"start": 1163.36, "end": 1164.24, "word": " موجب", "probability": 0.8751627604166666}, {"start": 1164.24, "end": 1165.32, "word": " المشتقة", "probability": 0.8011474609375}, {"start": 1165.32, "end": 1166.0, "word": " الثانية", "probability": 0.8994140625}, {"start": 1166.0, "end": 1166.42, "word": " N", "probability": 0.121337890625}, {"start": 1166.42, "end": 1166.84, "word": " ب2", "probability": 0.692626953125}, {"start": 1166.84, "end": 1167.1, "word": " يعني", "probability": 0.893310546875}, {"start": 1167.1, "end": 1167.7, "word": " المشتقة", "probability": 0.984619140625}, {"start": 1167.7, "end": 1168.2, "word": " التانية", "probability": 0.9095052083333334}, {"start": 1168.2, "end": 1169.02, "word": " بيصير", "probability": 0.8836669921875}, {"start": 1169.02, "end": 1169.3, "word": " هذه", "probability": 0.8310546875}, {"start": 1169.3, "end": 1169.68, "word": " ايش", "probability": 0.7191569010416666}, {"start": 1169.68, "end": 1170.22, "word": " موجب", "probability": 0.9544270833333334}, {"start": 1170.22, "end": 1171.08, "word": " هذه", "probability": 0.54833984375}, {"start": 1171.08, "end": 1171.76, "word": " zero", "probability": 0.409912109375}, {"start": 1171.76, "end": 1172.46, "word": " factorial", "probability": 0.6865234375}, {"start": 1172.46, "end": 1172.72, "word": " اللي", "probability": 0.657958984375}, {"start": 1172.72, "end": 1172.84, "word": " هي", "probability": 0.70947265625}, {"start": 1172.84, "end": 1173.38, "word": " بواحد", "probability": 0.8917643229166666}, {"start": 1173.38, "end": 1174.32, "word": " اتنين", "probability": 0.932861328125}, {"start": 1174.32, "end": 1174.9, "word": " ناقص", "probability": 0.931884765625}, {"start": 1174.9, "end": 1175.34, "word": " واحد", "probability": 0.98876953125}, {"start": 1175.34, "end": 1175.46, "word": " اللي", "probability": 0.984375}, {"start": 1175.46, "end": 1175.52, "word": " هي", "probability": 0.8037109375}, {"start": 1175.52, "end": 1176.04, "word": " بواحد", "probability": 0.9724934895833334}, {"start": 1176.04, "end": 1176.6, "word": " يعني", "probability": 0.957763671875}, {"start": 1176.6, "end": 1177.48, "word": " واحد", "probability": 0.97802734375}, {"start": 1177.48, "end": 1177.98, "word": " على", "probability": 0.451171875}, {"start": 1177.98, "end": 1178.6, "word": " X", "probability": 0.734375}, {"start": 1178.6, "end": 1179.42, "word": " المشتقة", "probability": 0.91796875}, {"start": 1179.42, "end": 1179.96, "word": " التانية", "probability": 0.9755859375}, {"start": 1179.96, "end": 1180.6, "word": " طلع", "probability": 0.9318033854166666}, {"start": 1180.6, "end": 1181.26, "word": " للمشتقة", "probability": 0.853564453125}, {"start": 1181.26, "end": 1181.58, "word": " التانية", "probability": 0.9697265625}, {"start": 1181.58, "end": 1181.84, "word": " واحد", "probability": 0.983642578125}, {"start": 1181.84, "end": 1181.98, "word": " ال", "probability": 0.320068359375}, {"start": 1181.98, "end": 1182.16, "word": " X", "probability": 0.89599609375}, {"start": 1182.16, "end": 1182.7, "word": " صحيح", "probability": 0.9888916015625}], "temperature": 1.0}, {"id": 50, "seek": 120009, "start": 1183.24, "end": 1200.1, "text": "طيب لو بدل اتنين حطيت تلاتة يبقى المشتقة التالتة هذه سالب واحد تكييف بسالب هذه واحد factor لب واحد وهنا X تربيع يبقى سالب واحد على X تربيع المشتقة التالتة و هكذا", "tokens": [9566, 1829, 3555, 45164, 47525, 1211, 1975, 2655, 1863, 9957, 11331, 9566, 36081, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 9673, 8592, 2655, 28671, 16712, 6027, 2655, 3660, 29538, 8608, 6027, 3555, 36764, 24401, 6055, 4117, 1829, 33911, 4724, 3794, 6027, 3555, 29538, 36764, 24401, 5952, 5296, 3555, 36764, 24401, 37037, 8315, 1783, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 36764, 24401, 15844, 1783, 6055, 2288, 21292, 3615, 9673, 8592, 2655, 28671, 16712, 6027, 2655, 3660, 4032, 8032, 4117, 15730], "avg_logprob": -0.18586483199236004, "compression_ratio": 1.8866666666666667, "no_speech_prob": 0.0, "words": [{"start": 1183.24, "end": 1183.74, "word": "طيب", "probability": 0.8780924479166666}, {"start": 1183.74, "end": 1184.14, "word": " لو", "probability": 0.78857421875}, {"start": 1184.14, "end": 1184.52, "word": " بدل", "probability": 0.954345703125}, {"start": 1184.52, "end": 1184.86, "word": " اتنين", "probability": 0.82275390625}, {"start": 1184.86, "end": 1185.36, "word": " حطيت", "probability": 0.8102213541666666}, {"start": 1185.36, "end": 1186.12, "word": " تلاتة", "probability": 0.9583740234375}, {"start": 1186.12, "end": 1186.66, "word": " يبقى", "probability": 0.9453125}, {"start": 1186.66, "end": 1187.36, "word": " المشتقة", "probability": 0.889404296875}, {"start": 1187.36, "end": 1187.94, "word": " التالتة", "probability": 0.9105224609375}, {"start": 1187.94, "end": 1188.44, "word": " هذه", "probability": 0.44384765625}, {"start": 1188.44, "end": 1189.18, "word": " سالب", "probability": 0.8382161458333334}, {"start": 1189.18, "end": 1189.4, "word": " واحد", "probability": 0.973388671875}, {"start": 1189.4, "end": 1189.88, "word": " تكييف", "probability": 0.7408447265625}, {"start": 1189.88, "end": 1190.7, "word": " بسالب", "probability": 0.77471923828125}, {"start": 1190.7, "end": 1191.5, "word": " هذه", "probability": 0.6318359375}, {"start": 1191.5, "end": 1191.96, "word": " واحد", "probability": 0.992919921875}, {"start": 1191.96, "end": 1192.46, "word": " factor", "probability": 0.45263671875}, {"start": 1192.46, "end": 1192.88, "word": " لب", "probability": 0.48681640625}, {"start": 1192.88, "end": 1193.36, "word": " واحد", "probability": 0.802734375}, {"start": 1193.36, "end": 1194.2, "word": " وهنا", "probability": 0.84130859375}, {"start": 1194.2, "end": 1194.64, "word": " X", "probability": 0.4990234375}, {"start": 1194.64, "end": 1195.4, "word": " تربيع", "probability": 0.8404541015625}, {"start": 1195.4, "end": 1196.2, "word": " يبقى", "probability": 0.9810791015625}, {"start": 1196.2, "end": 1196.86, "word": " سالب", "probability": 0.9423828125}, {"start": 1196.86, "end": 1197.38, "word": " واحد", "probability": 0.98095703125}, {"start": 1197.38, "end": 1197.64, "word": " على", "probability": 0.67138671875}, {"start": 1197.64, "end": 1197.92, "word": " X", "probability": 0.974609375}, {"start": 1197.92, "end": 1198.3, "word": " تربيع", "probability": 0.952880859375}, {"start": 1198.3, "end": 1198.94, "word": " المشتقة", "probability": 0.96923828125}, {"start": 1198.94, "end": 1199.44, "word": " التالتة", "probability": 0.9744873046875}, {"start": 1199.44, "end": 1199.56, "word": " و", "probability": 0.76513671875}, {"start": 1199.56, "end": 1200.1, "word": " هكذا", "probability": 0.7626953125}], "temperature": 1.0}, {"id": 51, "seek": 122328, "start": 1200.3, "end": 1223.28, "text": "لو حسبت حساباتي الملاجئة كلها صحيحة ماعندنا مشكلة يبقى بناء ان عليه بضروح أحسب التفاضل الرقم M عند العدد A يبقى سالب واحد to the power N مالكش دعوة وهنا N ناقص اتنين factorial وهنا E أس N ناقص واحد", "tokens": [1211, 2407, 11331, 35457, 2655, 11331, 3794, 16758, 9307, 1829, 9673, 1211, 26108, 19986, 3660, 28242, 11296, 20328, 5016, 1829, 5016, 3660, 19446, 3615, 41260, 8315, 37893, 28820, 3660, 7251, 3555, 4587, 7578, 44945, 16606, 16472, 47356, 4724, 11242, 32887, 5016, 5551, 5016, 35457, 16712, 5172, 46958, 1211, 34892, 4587, 2304, 376, 43242, 18863, 3215, 3215, 316, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 36764, 24401, 281, 264, 1347, 426, 3714, 6027, 4117, 8592, 11778, 3615, 2407, 3660, 37037, 8315, 426, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 36916, 37037, 8315, 462, 5551, 3794, 426, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.23285801289151015, "compression_ratio": 1.5714285714285714, "no_speech_prob": 0.0, "words": [{"start": 1200.3, "end": 1200.7, "word": "لو", "probability": 0.6475830078125}, {"start": 1200.7, "end": 1201.14, "word": " حسبت", "probability": 0.9625651041666666}, {"start": 1201.14, "end": 1201.74, "word": " حساباتي", "probability": 0.93935546875}, {"start": 1201.74, "end": 1202.14, "word": " الملاجئة", "probability": 0.543359375}, {"start": 1202.14, "end": 1202.54, "word": " كلها", "probability": 0.7890625}, {"start": 1202.54, "end": 1203.0, "word": " صحيحة", "probability": 0.90224609375}, {"start": 1203.0, "end": 1203.44, "word": " ماعندنا", "probability": 0.68804931640625}, {"start": 1203.44, "end": 1204.0, "word": " مشكلة", "probability": 0.9786783854166666}, {"start": 1204.0, "end": 1204.78, "word": " يبقى", "probability": 0.9295654296875}, {"start": 1204.78, "end": 1205.16, "word": " بناء", "probability": 0.864013671875}, {"start": 1205.16, "end": 1205.34, "word": " ان", "probability": 0.472412109375}, {"start": 1205.34, "end": 1205.58, "word": " عليه", "probability": 0.400634765625}, {"start": 1205.58, "end": 1206.08, "word": " بضروح", "probability": 0.6123046875}, {"start": 1206.08, "end": 1206.68, "word": " أحسب", "probability": 0.8621419270833334}, {"start": 1206.68, "end": 1207.46, "word": " التفاضل", "probability": 0.9329833984375}, {"start": 1207.46, "end": 1208.32, "word": " الرقم", "probability": 0.93505859375}, {"start": 1208.32, "end": 1208.66, "word": " M", "probability": 0.49755859375}, {"start": 1208.66, "end": 1209.52, "word": " عند", "probability": 0.95166015625}, {"start": 1209.52, "end": 1210.24, "word": " العدد", "probability": 0.9241536458333334}, {"start": 1210.24, "end": 1210.54, "word": " A", "probability": 0.413818359375}, {"start": 1210.54, "end": 1211.36, "word": " يبقى", "probability": 0.9849853515625}, {"start": 1211.36, "end": 1211.8, "word": " سالب", "probability": 0.672607421875}, {"start": 1211.8, "end": 1212.16, "word": " واحد", "probability": 0.94384765625}, {"start": 1212.16, "end": 1212.34, "word": " to", "probability": 0.494873046875}, {"start": 1212.34, "end": 1212.5, "word": " the", "probability": 0.93359375}, {"start": 1212.5, "end": 1212.88, "word": " power", "probability": 0.861328125}, {"start": 1212.88, "end": 1213.2, "word": " N", "probability": 0.56982421875}, {"start": 1213.2, "end": 1213.7, "word": " مالكش", "probability": 0.84228515625}, {"start": 1213.7, "end": 1214.32, "word": " دعوة", "probability": 0.81622314453125}, {"start": 1214.32, "end": 1215.28, "word": " وهنا", "probability": 0.6865234375}, {"start": 1215.28, "end": 1215.76, "word": " N", "probability": 0.837890625}, {"start": 1215.76, "end": 1216.62, "word": " ناقص", "probability": 0.96337890625}, {"start": 1216.62, "end": 1217.26, "word": " اتنين", "probability": 0.938720703125}, {"start": 1217.26, "end": 1218.26, "word": " factorial", "probability": 0.78857421875}, {"start": 1218.26, "end": 1219.64, "word": " وهنا", "probability": 0.87890625}, {"start": 1219.64, "end": 1220.48, "word": " E", "probability": 0.83056640625}, {"start": 1220.48, "end": 1221.12, "word": " أس", "probability": 0.70556640625}, {"start": 1221.12, "end": 1221.64, "word": " N", "probability": 0.88037109375}, {"start": 1221.64, "end": 1222.8, "word": " ناقص", "probability": 0.9874267578125}, {"start": 1222.8, "end": 1223.28, "word": " واحد", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 52, "seek": 124009, "start": 1224.72, "end": 1240.1, "text": "خلصنا يبقى انا احنا عندنا f of x summation من n equal zero to infinity لتفاضل رقم n عند ال main عند ال a", "tokens": [9778, 1211, 9381, 8315, 7251, 3555, 4587, 7578, 1975, 8315, 1975, 5016, 8315, 43242, 8315, 283, 295, 2031, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 2655, 5172, 46958, 1211, 12602, 4587, 2304, 297, 43242, 2423, 2135, 43242, 2423, 257], "avg_logprob": -0.38395579268292684, "compression_ratio": 1.226890756302521, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1224.72, "end": 1225.54, "word": "خلصنا", "probability": 0.7144775390625}, {"start": 1225.54, "end": 1226.14, "word": " يبقى", "probability": 0.665985107421875}, {"start": 1226.14, "end": 1226.42, "word": " انا", "probability": 0.49951171875}, {"start": 1226.42, "end": 1229.6, "word": " احنا", "probability": 0.6222330729166666}, {"start": 1229.6, "end": 1230.16, "word": " عندنا", "probability": 0.700439453125}, {"start": 1230.16, "end": 1230.62, "word": " f", "probability": 0.267333984375}, {"start": 1230.62, "end": 1231.1, "word": " of", "probability": 0.227294921875}, {"start": 1231.1, "end": 1231.5, "word": " x", "probability": 0.818359375}, {"start": 1231.5, "end": 1232.32, "word": " summation", "probability": 0.431396484375}, {"start": 1232.32, "end": 1232.98, "word": " من", "probability": 0.9189453125}, {"start": 1232.98, "end": 1233.32, "word": " n", "probability": 0.623046875}, {"start": 1233.32, "end": 1233.82, "word": " equal", "probability": 0.4404296875}, {"start": 1233.82, "end": 1234.2, "word": " zero", "probability": 0.460693359375}, {"start": 1234.2, "end": 1234.44, "word": " to", "probability": 0.94580078125}, {"start": 1234.44, "end": 1235.18, "word": " infinity", "probability": 0.87353515625}, {"start": 1235.18, "end": 1236.64, "word": " لتفاضل", "probability": 0.89912109375}, {"start": 1236.64, "end": 1237.42, "word": " رقم", "probability": 0.99169921875}, {"start": 1237.42, "end": 1237.9, "word": " n", "probability": 0.658203125}, {"start": 1237.9, "end": 1238.44, "word": " عند", "probability": 0.9521484375}, {"start": 1238.44, "end": 1238.68, "word": " ال", "probability": 0.88427734375}, {"start": 1238.68, "end": 1238.94, "word": " main", "probability": 0.63525390625}, {"start": 1238.94, "end": 1239.3, "word": " عند", "probability": 0.89208984375}, {"start": 1239.3, "end": 1239.62, "word": " ال", "probability": 0.9326171875}, {"start": 1239.62, "end": 1240.1, "word": " a", "probability": 0.70166015625}], "temperature": 1.0}, {"id": 53, "seek": 126427, "start": 1240.65, "end": 1264.27, "text": "فى ال X ناقص ال E to the power N على N factorial يبقى ال F of E زائد ال F prime of E فى ال X ناقص ال E على واحد factorial تفضل الثانى عند ال E ال X ناقص ال E لكل تربيه على اتنين factorial", "tokens": [5172, 7578, 2423, 1783, 8717, 995, 4587, 9381, 2423, 462, 281, 264, 1347, 426, 15844, 426, 36916, 7251, 3555, 4587, 7578, 2423, 479, 295, 462, 30767, 16373, 3215, 2423, 479, 5835, 295, 462, 6156, 7578, 2423, 1783, 8717, 995, 4587, 9381, 2423, 462, 15844, 36764, 24401, 36916, 6055, 5172, 11242, 1211, 6024, 104, 7649, 7578, 43242, 2423, 462, 2423, 1783, 8717, 995, 4587, 9381, 2423, 462, 5296, 28820, 6055, 2288, 21292, 3224, 15844, 1975, 2655, 1863, 9957, 36916], "avg_logprob": -0.15387657586532302, "compression_ratio": 1.6962025316455696, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1240.65, "end": 1240.95, "word": "فى", "probability": 0.54656982421875}, {"start": 1240.95, "end": 1241.15, "word": " ال", "probability": 0.66259765625}, {"start": 1241.15, "end": 1241.55, "word": " X", "probability": 0.52490234375}, {"start": 1241.55, "end": 1242.31, "word": " ناقص", "probability": 0.886962890625}, {"start": 1242.31, "end": 1242.57, "word": " ال", "probability": 0.82666015625}, {"start": 1242.57, "end": 1242.75, "word": " E", "probability": 0.9306640625}, {"start": 1242.75, "end": 1242.99, "word": " to", "probability": 0.7099609375}, {"start": 1242.99, "end": 1243.23, "word": " the", "probability": 0.9091796875}, {"start": 1243.23, "end": 1243.65, "word": " power", "probability": 0.85888671875}, {"start": 1243.65, "end": 1244.07, "word": " N", "probability": 0.62060546875}, {"start": 1244.07, "end": 1244.43, "word": " على", "probability": 0.65625}, {"start": 1244.43, "end": 1244.83, "word": " N", "probability": 0.88671875}, {"start": 1244.83, "end": 1245.67, "word": " factorial", "probability": 0.69677734375}, {"start": 1245.67, "end": 1246.81, "word": " يبقى", "probability": 0.9176025390625}, {"start": 1246.81, "end": 1246.97, "word": " ال", "probability": 0.65869140625}, {"start": 1246.97, "end": 1247.31, "word": " F", "probability": 0.916015625}, {"start": 1247.31, "end": 1247.79, "word": " of", "probability": 0.89697265625}, {"start": 1247.79, "end": 1248.35, "word": " E", "probability": 0.99365234375}, {"start": 1248.35, "end": 1249.17, "word": " زائد", "probability": 0.8152669270833334}, {"start": 1249.17, "end": 1249.43, "word": " ال", "probability": 0.8125}, {"start": 1249.43, "end": 1249.83, "word": " F", "probability": 0.978515625}, {"start": 1249.83, "end": 1250.57, "word": " prime", "probability": 0.75830078125}, {"start": 1250.57, "end": 1251.03, "word": " of", "probability": 0.97265625}, {"start": 1251.03, "end": 1251.43, "word": " E", "probability": 0.994140625}, {"start": 1251.43, "end": 1251.69, "word": " فى", "probability": 0.958984375}, {"start": 1251.69, "end": 1251.93, "word": " ال", "probability": 0.7265625}, {"start": 1251.93, "end": 1252.25, "word": " X", "probability": 0.99365234375}, {"start": 1252.25, "end": 1253.07, "word": " ناقص", "probability": 0.994384765625}, {"start": 1253.07, "end": 1253.43, "word": " ال", "probability": 0.91748046875}, {"start": 1253.43, "end": 1253.91, "word": " E", "probability": 0.99365234375}, {"start": 1253.91, "end": 1254.63, "word": " على", "probability": 0.822265625}, {"start": 1254.63, "end": 1255.07, "word": " واحد", "probability": 0.802978515625}, {"start": 1255.07, "end": 1255.91, "word": " factorial", "probability": 0.716796875}, {"start": 1255.91, "end": 1257.13, "word": " تفضل", "probability": 0.9132080078125}, {"start": 1257.13, "end": 1258.79, "word": " الثانى", "probability": 0.8922119140625}, {"start": 1258.79, "end": 1259.41, "word": " عند", "probability": 0.90283203125}, {"start": 1259.41, "end": 1259.81, "word": " ال", "probability": 0.96337890625}, {"start": 1259.81, "end": 1260.05, "word": " E", "probability": 0.9921875}, {"start": 1260.05, "end": 1260.35, "word": " ال", "probability": 0.6533203125}, {"start": 1260.35, "end": 1260.77, "word": " X", "probability": 0.98681640625}, {"start": 1260.77, "end": 1261.43, "word": " ناقص", "probability": 0.9957275390625}, {"start": 1261.43, "end": 1261.67, "word": " ال", "probability": 0.958984375}, {"start": 1261.67, "end": 1261.85, "word": " E", "probability": 0.9951171875}, {"start": 1261.85, "end": 1262.39, "word": " لكل", "probability": 0.942626953125}, {"start": 1262.39, "end": 1262.91, "word": " تربيه", "probability": 0.7633056640625}, {"start": 1262.91, "end": 1263.15, "word": " على", "probability": 0.87548828125}, {"start": 1263.15, "end": 1263.59, "word": " اتنين", "probability": 0.9549560546875}, {"start": 1263.59, "end": 1264.27, "word": " factorial", "probability": 0.78515625}], "temperature": 1.0}, {"id": 54, "seek": 127994, "start": 1265.4, "end": 1279.94, "text": "التفاضل التالت and ال E في ال X نقص ال E لكل تكيب على 3 factorial التفاضل الرابع and ال E في ال X نقص ال E", "tokens": [6027, 2655, 5172, 46958, 1211, 16712, 6027, 2655, 293, 2423, 462, 8978, 2423, 1783, 8717, 4587, 9381, 2423, 462, 5296, 28820, 6055, 4117, 1829, 3555, 15844, 805, 36916, 16712, 5172, 46958, 1211, 34892, 16758, 3615, 293, 2423, 462, 8978, 2423, 1783, 8717, 4587, 9381, 2423, 462], "avg_logprob": -0.17087765894037613, "compression_ratio": 1.7083333333333333, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1265.4, "end": 1266.16, "word": "التفاضل", "probability": 0.91533203125}, {"start": 1266.16, "end": 1266.92, "word": " التالت", "probability": 0.9246419270833334}, {"start": 1266.92, "end": 1267.88, "word": " and", "probability": 0.171142578125}, {"start": 1267.88, "end": 1268.26, "word": " ال", "probability": 0.240234375}, {"start": 1268.26, "end": 1268.56, "word": " E", "probability": 0.66357421875}, {"start": 1268.56, "end": 1268.86, "word": " في", "probability": 0.79443359375}, {"start": 1268.86, "end": 1269.1, "word": " ال", "probability": 0.69287109375}, {"start": 1269.1, "end": 1269.48, "word": " X", "probability": 0.93505859375}, {"start": 1269.48, "end": 1270.18, "word": " نقص", "probability": 0.9176432291666666}, {"start": 1270.18, "end": 1270.44, "word": " ال", "probability": 0.8349609375}, {"start": 1270.44, "end": 1270.6, "word": " E", "probability": 0.97607421875}, {"start": 1270.6, "end": 1271.08, "word": " لكل", "probability": 0.957275390625}, {"start": 1271.08, "end": 1271.72, "word": " تكيب", "probability": 0.8287353515625}, {"start": 1271.72, "end": 1271.98, "word": " على", "probability": 0.8916015625}, {"start": 1271.98, "end": 1272.52, "word": " 3", "probability": 0.5703125}, {"start": 1272.52, "end": 1273.36, "word": " factorial", "probability": 0.68212890625}, {"start": 1273.36, "end": 1274.92, "word": " التفاضل", "probability": 0.9591064453125}, {"start": 1274.92, "end": 1275.98, "word": " الرابع", "probability": 0.99267578125}, {"start": 1275.98, "end": 1277.02, "word": " and", "probability": 0.9560546875}, {"start": 1277.02, "end": 1277.4, "word": " ال", "probability": 0.8828125}, {"start": 1277.4, "end": 1277.76, "word": " E", "probability": 0.99560546875}, {"start": 1277.76, "end": 1278.02, "word": " في", "probability": 0.98486328125}, {"start": 1278.02, "end": 1278.28, "word": " ال", "probability": 0.93896484375}, {"start": 1278.28, "end": 1278.68, "word": " X", "probability": 0.9931640625}, {"start": 1278.68, "end": 1279.36, "word": " نقص", "probability": 0.99462890625}, {"start": 1279.36, "end": 1279.6, "word": " ال", "probability": 0.94970703125}, {"start": 1279.6, "end": 1279.94, "word": " E", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 55, "seek": 130785, "start": 1280.2, "end": 1307.86, "text": "to the power four على أربعة factorial زائد زائد لما نوصل لحد انوني تفضل رقم N عند ال E ال X نقص ال E to the power N على N factorial زائد إلى ما شاء الله ال F of X عندنا اللي هي main X لإن ال X يساوي ال F of E طلع ب E", "tokens": [1353, 264, 1347, 1451, 15844, 5551, 25513, 27884, 36916, 30767, 16373, 3215, 30767, 16373, 3215, 5296, 15042, 8717, 2407, 36520, 5296, 24401, 16472, 11536, 1829, 6055, 5172, 11242, 1211, 12602, 4587, 2304, 426, 43242, 2423, 462, 2423, 1783, 8717, 4587, 9381, 2423, 462, 281, 264, 1347, 426, 15844, 426, 36916, 30767, 16373, 3215, 30731, 19446, 13412, 16606, 21984, 2423, 479, 295, 1783, 43242, 8315, 13672, 1829, 39896, 2135, 1783, 5296, 28814, 1863, 2423, 1783, 7251, 3794, 995, 45865, 2423, 479, 295, 462, 23032, 1211, 3615, 4724, 462], "avg_logprob": -0.2649147761139003, "compression_ratio": 1.6269430051813472, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1280.2, "end": 1280.54, "word": "to", "probability": 0.2349853515625}, {"start": 1280.54, "end": 1280.86, "word": " the", "probability": 0.90478515625}, {"start": 1280.86, "end": 1281.44, "word": " power", "probability": 0.890625}, {"start": 1281.44, "end": 1282.14, "word": " four", "probability": 0.392578125}, {"start": 1282.14, "end": 1282.98, "word": " على", "probability": 0.486572265625}, {"start": 1282.98, "end": 1283.7, "word": " أربعة", "probability": 0.80908203125}, {"start": 1283.7, "end": 1284.5, "word": " factorial", "probability": 0.70458984375}, {"start": 1284.5, "end": 1285.82, "word": " زائد", "probability": 0.87255859375}, {"start": 1285.82, "end": 1286.56, "word": " زائد", "probability": 0.9739583333333334}, {"start": 1286.56, "end": 1286.86, "word": " لما", "probability": 0.90478515625}, {"start": 1286.86, "end": 1287.28, "word": " نوصل", "probability": 0.9703776041666666}, {"start": 1287.28, "end": 1287.92, "word": " لحد", "probability": 0.71484375}, {"start": 1287.92, "end": 1288.9, "word": " انوني", "probability": 0.4576822916666667}, {"start": 1288.9, "end": 1289.72, "word": " تفضل", "probability": 0.89892578125}, {"start": 1289.72, "end": 1290.38, "word": " رقم", "probability": 0.9899088541666666}, {"start": 1290.38, "end": 1290.72, "word": " N", "probability": 0.343505859375}, {"start": 1290.72, "end": 1291.14, "word": " عند", "probability": 0.7578125}, {"start": 1291.14, "end": 1291.5, "word": " ال", "probability": 0.66064453125}, {"start": 1291.5, "end": 1291.88, "word": " E", "probability": 0.87109375}, {"start": 1291.88, "end": 1292.54, "word": " ال", "probability": 0.71630859375}, {"start": 1292.54, "end": 1292.84, "word": " X", "probability": 0.86279296875}, {"start": 1292.84, "end": 1293.44, "word": " نقص", "probability": 0.9611002604166666}, {"start": 1293.44, "end": 1293.62, "word": " ال", "probability": 0.95068359375}, {"start": 1293.62, "end": 1293.8, "word": " E", "probability": 0.96826171875}, {"start": 1293.8, "end": 1294.02, "word": " to", "probability": 0.93994140625}, {"start": 1294.02, "end": 1294.24, "word": " the", "probability": 0.92041015625}, {"start": 1294.24, "end": 1294.62, "word": " power", "probability": 0.880859375}, {"start": 1294.62, "end": 1295.0, "word": " N", "probability": 0.85595703125}, {"start": 1295.0, "end": 1295.34, "word": " على", "probability": 0.806640625}, {"start": 1295.34, "end": 1295.72, "word": " N", "probability": 0.8935546875}, {"start": 1295.72, "end": 1296.48, "word": " factorial", "probability": 0.8291015625}, {"start": 1296.48, "end": 1297.42, "word": " زائد", "probability": 0.97021484375}, {"start": 1297.42, "end": 1297.72, "word": " إلى", "probability": 0.623046875}, {"start": 1297.72, "end": 1297.98, "word": " ما", "probability": 0.98291015625}, {"start": 1297.98, "end": 1298.32, "word": " شاء", "probability": 0.989990234375}, {"start": 1298.32, "end": 1299.3, "word": " الله", "probability": 0.96337890625}, {"start": 1299.3, "end": 1300.26, "word": " ال", "probability": 0.705078125}, {"start": 1300.26, "end": 1300.48, "word": " F", "probability": 0.83544921875}, {"start": 1300.48, "end": 1300.68, "word": " of", "probability": 0.89208984375}, {"start": 1300.68, "end": 1300.9, "word": " X", "probability": 0.98779296875}, {"start": 1300.9, "end": 1301.32, "word": " عندنا", "probability": 0.682861328125}, {"start": 1301.32, "end": 1301.42, "word": " اللي", "probability": 0.6602783203125}, {"start": 1301.42, "end": 1301.56, "word": " هي", "probability": 0.65625}, {"start": 1301.56, "end": 1301.94, "word": " main", "probability": 0.40380859375}, {"start": 1301.94, "end": 1302.92, "word": " X", "probability": 0.888671875}, {"start": 1302.92, "end": 1303.8, "word": " لإن", "probability": 0.8058268229166666}, {"start": 1303.8, "end": 1304.08, "word": " ال", "probability": 0.93701171875}, {"start": 1304.08, "end": 1304.44, "word": " X", "probability": 0.9755859375}, {"start": 1304.44, "end": 1305.26, "word": " يساوي", "probability": 0.54510498046875}, {"start": 1305.26, "end": 1306.04, "word": " ال", "probability": 0.76513671875}, {"start": 1306.04, "end": 1306.38, "word": " F", "probability": 0.97216796875}, {"start": 1306.38, "end": 1306.66, "word": " of", "probability": 0.9658203125}, {"start": 1306.66, "end": 1306.86, "word": " E", "probability": 0.982421875}, {"start": 1306.86, "end": 1307.32, "word": " طلع", "probability": 0.6512858072916666}, {"start": 1307.32, "end": 1307.54, "word": " ب", "probability": 0.53759765625}, {"start": 1307.54, "end": 1307.86, "word": " E", "probability": 0.63623046875}], "temperature": 1.0}, {"id": 56, "seek": 131620, "start": 1308.38, "end": 1316.2, "text": "والـ F prime of E طلع بقداش ب 2 في ال X ناقص اللي هي 1 factorial المهيب واحد", "tokens": [2407, 6027, 39184, 479, 5835, 295, 462, 23032, 1211, 3615, 4724, 28543, 33599, 4724, 568, 8978, 2423, 1783, 8717, 995, 4587, 9381, 13672, 1829, 39896, 502, 5952, 831, 9673, 3224, 1829, 3555, 36764, 24401], "avg_logprob": -0.45513393197740826, "compression_ratio": 1.0660377358490567, "no_speech_prob": 0.0, "words": [{"start": 1308.38, "end": 1308.88, "word": "والـ", "probability": 0.4717610677083333}, {"start": 1308.88, "end": 1309.16, "word": " F", "probability": 0.47314453125}, {"start": 1309.16, "end": 1309.72, "word": " prime", "probability": 0.239013671875}, {"start": 1309.72, "end": 1310.14, "word": " of", "probability": 0.92041015625}, {"start": 1310.14, "end": 1310.4, "word": " E", "probability": 0.94921875}, {"start": 1310.4, "end": 1310.9, "word": " طلع", "probability": 0.68701171875}, {"start": 1310.9, "end": 1311.5, "word": " بقداش", "probability": 0.7633463541666666}, {"start": 1311.5, "end": 1311.74, "word": " ب", "probability": 0.8349609375}, {"start": 1311.74, "end": 1312.42, "word": " 2", "probability": 0.276611328125}, {"start": 1312.42, "end": 1312.96, "word": " في", "probability": 0.6796875}, {"start": 1312.96, "end": 1313.12, "word": " ال", "probability": 0.52685546875}, {"start": 1313.12, "end": 1313.56, "word": " X", "probability": 0.7509765625}, {"start": 1313.56, "end": 1314.22, "word": " ناقص", "probability": 0.953369140625}, {"start": 1314.22, "end": 1314.42, "word": " اللي", "probability": 0.774169921875}, {"start": 1314.42, "end": 1314.56, "word": " هي", "probability": 0.5595703125}, {"start": 1314.56, "end": 1314.8, "word": " 1", "probability": 0.6796875}, {"start": 1314.8, "end": 1315.48, "word": " factorial", "probability": 0.48443603515625}, {"start": 1315.48, "end": 1315.84, "word": " المهيب", "probability": 0.71087646484375}, {"start": 1315.84, "end": 1316.2, "word": " واحد", "probability": 0.7017822265625}], "temperature": 1.0}, {"id": 57, "seek": 134140, "start": 1316.74, "end": 1341.4, "text": "نجرى ال F double A prime اللي واحد على E يبقى زائد واحد على E ال X نقص ال E تربيع على اتنين factorial المشتقة التالتة سالب واحد على E تربيع فمين في ال X نقص ال E لكل تكييب", "tokens": [1863, 7435, 2288, 7578, 2423, 479, 3834, 316, 5835, 13672, 1829, 36764, 24401, 15844, 462, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 36764, 24401, 15844, 462, 2423, 1783, 8717, 4587, 9381, 2423, 462, 6055, 2288, 21292, 3615, 15844, 1975, 2655, 1863, 9957, 36916, 9673, 8592, 2655, 28671, 16712, 6027, 2655, 3660, 8608, 6027, 3555, 36764, 24401, 15844, 462, 6055, 2288, 21292, 3615, 6156, 2304, 9957, 8978, 2423, 1783, 8717, 4587, 9381, 2423, 462, 5296, 28820, 6055, 4117, 1829, 1829, 3555], "avg_logprob": -0.23804012640022937, "compression_ratio": 1.6809815950920246, "no_speech_prob": 0.0, "words": [{"start": 1316.74, "end": 1317.32, "word": "نجرى", "probability": 0.69671630859375}, {"start": 1317.32, "end": 1317.42, "word": " ال", "probability": 0.68896484375}, {"start": 1317.42, "end": 1317.74, "word": " F", "probability": 0.55126953125}, {"start": 1317.74, "end": 1318.3, "word": " double", "probability": 0.10845947265625}, {"start": 1318.3, "end": 1318.66, "word": " A", "probability": 0.299072265625}, {"start": 1318.66, "end": 1319.28, "word": " prime", "probability": 0.71875}, {"start": 1319.28, "end": 1319.6, "word": " اللي", "probability": 0.4014892578125}, {"start": 1319.6, "end": 1320.36, "word": " واحد", "probability": 0.8544921875}, {"start": 1320.36, "end": 1320.84, "word": " على", "probability": 0.67138671875}, {"start": 1320.84, "end": 1321.34, "word": " E", "probability": 0.454345703125}, {"start": 1321.34, "end": 1322.36, "word": " يبقى", "probability": 0.964111328125}, {"start": 1322.36, "end": 1323.12, "word": " زائد", "probability": 0.8614908854166666}, {"start": 1323.12, "end": 1323.86, "word": " واحد", "probability": 0.973388671875}, {"start": 1323.86, "end": 1324.22, "word": " على", "probability": 0.87646484375}, {"start": 1324.22, "end": 1324.72, "word": " E", "probability": 0.9404296875}, {"start": 1324.72, "end": 1325.4, "word": " ال", "probability": 0.658203125}, {"start": 1325.4, "end": 1325.82, "word": " X", "probability": 0.9248046875}, {"start": 1325.82, "end": 1326.6, "word": " نقص", "probability": 0.8515625}, {"start": 1326.6, "end": 1326.86, "word": " ال", "probability": 0.87744140625}, {"start": 1326.86, "end": 1327.08, "word": " E", "probability": 0.97900390625}, {"start": 1327.08, "end": 1327.8, "word": " تربيع", "probability": 0.875244140625}, {"start": 1327.8, "end": 1328.14, "word": " على", "probability": 0.73779296875}, {"start": 1328.14, "end": 1328.88, "word": " اتنين", "probability": 0.789520263671875}, {"start": 1328.88, "end": 1329.7, "word": " factorial", "probability": 0.58935546875}, {"start": 1329.7, "end": 1330.96, "word": " المشتقة", "probability": 0.8795166015625}, {"start": 1330.96, "end": 1331.82, "word": " التالتة", "probability": 0.8941650390625}, {"start": 1331.82, "end": 1332.88, "word": " سالب", "probability": 0.8675130208333334}, {"start": 1332.88, "end": 1334.2, "word": " واحد", "probability": 0.970703125}, {"start": 1334.2, "end": 1335.18, "word": " على", "probability": 0.83935546875}, {"start": 1335.18, "end": 1335.84, "word": " E", "probability": 0.95263671875}, {"start": 1335.84, "end": 1337.04, "word": " تربيع", "probability": 0.9537353515625}, {"start": 1337.04, "end": 1337.86, "word": " فمين", "probability": 0.75927734375}, {"start": 1337.86, "end": 1338.1, "word": " في", "probability": 0.62646484375}, {"start": 1338.1, "end": 1338.36, "word": " ال", "probability": 0.90380859375}, {"start": 1338.36, "end": 1338.78, "word": " X", "probability": 0.986328125}, {"start": 1338.78, "end": 1339.48, "word": " نقص", "probability": 0.9925130208333334}, {"start": 1339.48, "end": 1339.74, "word": " ال", "probability": 0.95654296875}, {"start": 1339.74, "end": 1340.02, "word": " E", "probability": 0.98876953125}, {"start": 1340.02, "end": 1340.62, "word": " لكل", "probability": 0.949462890625}, {"start": 1340.62, "end": 1341.4, "word": " تكييب", "probability": 0.87587890625}], "temperature": 1.0}, {"id": 58, "seek": 137031, "start": 1341.73, "end": 1370.31, "text": "على تلاتة factorial المشتق الرابع اللي هو باتنين factorial على E تكيب في mean في ال X نقص ال E to the power five على mean على ات اخدنا هذه اربعة على mean على اربعة factorial تفرق بواحد factorial من واحد", "tokens": [3615, 23942, 6055, 1211, 9307, 3660, 36916, 9673, 8592, 2655, 4587, 34892, 16758, 3615, 13672, 1829, 31439, 4724, 9307, 1863, 9957, 36916, 15844, 462, 6055, 4117, 1829, 3555, 8978, 914, 8978, 2423, 1783, 8717, 4587, 9381, 2423, 462, 281, 264, 1347, 1732, 15844, 914, 15844, 1975, 2655, 1975, 9778, 3215, 8315, 29538, 1975, 25513, 27884, 15844, 914, 15844, 1975, 25513, 27884, 36916, 6055, 5172, 2288, 4587, 4724, 14407, 24401, 36916, 9154, 36764, 24401], "avg_logprob": -0.31946789211518056, "compression_ratio": 1.689265536723164, "no_speech_prob": 0.0, "words": [{"start": 1341.73, "end": 1342.07, "word": "على", "probability": 0.590576171875}, {"start": 1342.07, "end": 1342.71, "word": " تلاتة", "probability": 0.83892822265625}, {"start": 1342.71, "end": 1343.33, "word": " factorial", "probability": 0.68994140625}, {"start": 1343.33, "end": 1344.55, "word": " المشتق", "probability": 0.892333984375}, {"start": 1344.55, "end": 1345.35, "word": " الرابع", "probability": 0.8111979166666666}, {"start": 1345.35, "end": 1346.07, "word": " اللي", "probability": 0.834716796875}, {"start": 1346.07, "end": 1346.35, "word": " هو", "probability": 0.98681640625}, {"start": 1346.35, "end": 1347.35, "word": " باتنين", "probability": 0.74981689453125}, {"start": 1347.35, "end": 1348.55, "word": " factorial", "probability": 0.8212890625}, {"start": 1348.55, "end": 1349.75, "word": " على", "probability": 0.77490234375}, {"start": 1349.75, "end": 1350.51, "word": " E", "probability": 0.37158203125}, {"start": 1350.51, "end": 1351.67, "word": " تكيب", "probability": 0.94384765625}, {"start": 1351.67, "end": 1352.25, "word": " في", "probability": 0.91650390625}, {"start": 1352.25, "end": 1352.61, "word": " mean", "probability": 0.2880859375}, {"start": 1352.61, "end": 1353.15, "word": " في", "probability": 0.67919921875}, {"start": 1353.15, "end": 1353.43, "word": " ال", "probability": 0.84619140625}, {"start": 1353.43, "end": 1353.81, "word": " X", "probability": 0.7900390625}, {"start": 1353.81, "end": 1354.51, "word": " نقص", "probability": 0.9786783854166666}, {"start": 1354.51, "end": 1354.83, "word": " ال", "probability": 0.8623046875}, {"start": 1354.83, "end": 1355.21, "word": " E", "probability": 0.96044921875}, {"start": 1355.21, "end": 1355.51, "word": " to", "probability": 0.93017578125}, {"start": 1355.51, "end": 1355.79, "word": " the", "probability": 0.9169921875}, {"start": 1355.79, "end": 1356.37, "word": " power", "probability": 0.89453125}, {"start": 1356.37, "end": 1357.15, "word": " five", "probability": 0.5244140625}, {"start": 1357.15, "end": 1357.87, "word": " على", "probability": 0.86376953125}, {"start": 1357.87, "end": 1358.37, "word": " mean", "probability": 0.406494140625}, {"start": 1358.37, "end": 1359.41, "word": " على", "probability": 0.78759765625}, {"start": 1359.41, "end": 1359.93, "word": " ات", "probability": 0.3291015625}, {"start": 1359.93, "end": 1360.55, "word": " اخدنا", "probability": 0.691314697265625}, {"start": 1360.55, "end": 1360.83, "word": " هذه", "probability": 0.6064453125}, {"start": 1360.83, "end": 1362.47, "word": " اربعة", "probability": 0.65380859375}, {"start": 1362.47, "end": 1363.91, "word": " على", "probability": 0.720703125}, {"start": 1363.91, "end": 1364.55, "word": " mean", "probability": 0.8017578125}, {"start": 1364.55, "end": 1365.39, "word": " على", "probability": 0.8671875}, {"start": 1365.39, "end": 1366.05, "word": " اربعة", "probability": 0.849609375}, {"start": 1366.05, "end": 1366.89, "word": " factorial", "probability": 0.841796875}, {"start": 1366.89, "end": 1369.03, "word": " تفرق", "probability": 0.7867431640625}, {"start": 1369.03, "end": 1369.35, "word": " بواحد", "probability": 0.7410481770833334}, {"start": 1369.35, "end": 1369.67, "word": " factorial", "probability": 0.7392578125}, {"start": 1369.67, "end": 1369.81, "word": " من", "probability": 0.93701171875}, {"start": 1369.81, "end": 1370.31, "word": " واحد", "probability": 0.614990234375}], "temperature": 1.0}, {"id": 59, "seek": 139864, "start": 1371.18, "end": 1398.64, "text": "تمام؟ زاد لو بدى اجي للي بعدها بدى المشتق رقم خمسة هاي المشتق رقم خمسة اللي هي سالب تلاتة factorial على E أُس أربعة يبقى هذا بيصير سالب تلاتة factorial على مين؟ على E أُس أربعة في ال X نقص ال E أُس خمسة على خمسة factorial زاد زاد", "tokens": [2655, 15042, 2304, 22807, 30767, 18513, 45164, 47525, 7578, 1975, 7435, 1829, 5296, 20292, 39182, 11296, 47525, 7578, 9673, 8592, 2655, 4587, 12602, 4587, 2304, 16490, 2304, 3794, 3660, 8032, 47302, 9673, 8592, 2655, 4587, 12602, 4587, 2304, 16490, 2304, 3794, 3660, 13672, 1829, 39896, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 36916, 15844, 462, 5551, 10859, 3794, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 23758, 4724, 1829, 9381, 13546, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 36916, 15844, 3714, 9957, 22807, 15844, 462, 5551, 10859, 3794, 5551, 25513, 27884, 8978, 2423, 1783, 8717, 4587, 9381, 2423, 462, 5551, 10859, 3794, 16490, 2304, 3794, 3660, 15844, 16490, 2304, 3794, 3660, 36916, 30767, 18513, 30767, 18513], "avg_logprob": -0.21888470148731923, "compression_ratio": 2.0376344086021505, "no_speech_prob": 0.0, "words": [{"start": 1371.18, "end": 1372.22, "word": "تمام؟", "probability": 0.558074951171875}, {"start": 1372.22, "end": 1372.84, "word": " زاد", "probability": 0.732177734375}, {"start": 1372.84, "end": 1373.7, "word": " لو", "probability": 0.443115234375}, {"start": 1373.7, "end": 1374.0, "word": " بدى", "probability": 0.6072998046875}, {"start": 1374.0, "end": 1374.24, "word": " اجي", "probability": 0.6702473958333334}, {"start": 1374.24, "end": 1374.52, "word": " للي", "probability": 0.6832275390625}, {"start": 1374.52, "end": 1375.04, "word": " بعدها", "probability": 0.937255859375}, {"start": 1375.04, "end": 1375.44, "word": " بدى", "probability": 0.682373046875}, {"start": 1375.44, "end": 1375.96, "word": " المشتق", "probability": 0.8751220703125}, {"start": 1375.96, "end": 1376.48, "word": " رقم", "probability": 0.916015625}, {"start": 1376.48, "end": 1377.1, "word": " خمسة", "probability": 0.8834228515625}, {"start": 1377.1, "end": 1377.66, "word": " هاي", "probability": 0.4464111328125}, {"start": 1377.66, "end": 1378.2, "word": " المشتق", "probability": 0.9925537109375}, {"start": 1378.2, "end": 1378.54, "word": " رقم", "probability": 0.9554036458333334}, {"start": 1378.54, "end": 1378.86, "word": " خمسة", "probability": 0.9166259765625}, {"start": 1378.86, "end": 1378.98, "word": " اللي", "probability": 0.660888671875}, {"start": 1378.98, "end": 1379.14, "word": " هي", "probability": 0.75927734375}, {"start": 1379.14, "end": 1379.48, "word": " سالب", "probability": 0.7239583333333334}, {"start": 1379.48, "end": 1379.96, "word": " تلاتة", "probability": 0.9293212890625}, {"start": 1379.96, "end": 1380.46, "word": " factorial", "probability": 0.61376953125}, {"start": 1380.46, "end": 1380.78, "word": " على", "probability": 0.6328125}, {"start": 1380.78, "end": 1380.94, "word": " E", "probability": 0.3388671875}, {"start": 1380.94, "end": 1381.16, "word": " أُس", "probability": 0.6013997395833334}, {"start": 1381.16, "end": 1381.68, "word": " أربعة", "probability": 0.8629557291666666}, {"start": 1381.68, "end": 1382.68, "word": " يبقى", "probability": 0.9674072265625}, {"start": 1382.68, "end": 1382.98, "word": " هذا", "probability": 0.456298828125}, {"start": 1382.98, "end": 1383.68, "word": " بيصير", "probability": 0.8037109375}, {"start": 1383.68, "end": 1384.88, "word": " سالب", "probability": 0.9568684895833334}, {"start": 1384.88, "end": 1386.06, "word": " تلاتة", "probability": 0.976806640625}, {"start": 1386.06, "end": 1387.16, "word": " factorial", "probability": 0.79638671875}, {"start": 1387.16, "end": 1388.02, "word": " على", "probability": 0.86767578125}, {"start": 1388.02, "end": 1388.88, "word": " مين؟", "probability": 0.8419596354166666}, {"start": 1388.88, "end": 1389.48, "word": " على", "probability": 0.859375}, {"start": 1389.48, "end": 1389.98, "word": " E", "probability": 0.97998046875}, {"start": 1389.98, "end": 1390.5, "word": " أُس", "probability": 0.9532877604166666}, {"start": 1390.5, "end": 1391.16, "word": " أربعة", "probability": 0.9412434895833334}, {"start": 1391.16, "end": 1391.62, "word": " في", "probability": 0.456787109375}, {"start": 1391.62, "end": 1391.8, "word": " ال", "probability": 0.90283203125}, {"start": 1391.8, "end": 1392.12, "word": " X", "probability": 0.796875}, {"start": 1392.12, "end": 1392.82, "word": " نقص", "probability": 0.9397786458333334}, {"start": 1392.82, "end": 1393.1, "word": " ال", "probability": 0.90576171875}, {"start": 1393.1, "end": 1393.4, "word": " E", "probability": 0.93212890625}, {"start": 1393.4, "end": 1394.12, "word": " أُس", "probability": 0.9606119791666666}, {"start": 1394.12, "end": 1395.02, "word": " خمسة", "probability": 0.9815673828125}, {"start": 1395.02, "end": 1395.42, "word": " على", "probability": 0.845703125}, {"start": 1395.42, "end": 1396.14, "word": " خمسة", "probability": 0.992919921875}, {"start": 1396.14, "end": 1396.92, "word": " factorial", "probability": 0.7822265625}, {"start": 1396.92, "end": 1397.96, "word": " زاد", "probability": 0.85986328125}, {"start": 1397.96, "end": 1398.64, "word": " زاد", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 60, "seek": 142501, "start": 1399.09, "end": 1425.01, "text": "نوصل للاخير المشتق قانوني ياله السالب واحد to the power N في ال N نقص اتنين factorial على E أس N نقص واحد في مين؟ في ال X نقص ال E to the power N على N factorial زائد إلى ما شاء الله طيب", "tokens": [1863, 2407, 36520, 24976, 47283, 13546, 9673, 8592, 2655, 4587, 12174, 7649, 11536, 1829, 7251, 6027, 3224, 21136, 6027, 3555, 36764, 24401, 281, 264, 1347, 426, 8978, 2423, 426, 8717, 4587, 9381, 1975, 2655, 1863, 9957, 36916, 15844, 462, 5551, 3794, 426, 8717, 4587, 9381, 36764, 24401, 8978, 3714, 9957, 22807, 8978, 2423, 1783, 8717, 4587, 9381, 2423, 462, 281, 264, 1347, 426, 15844, 426, 36916, 30767, 16373, 3215, 30731, 19446, 13412, 16606, 21984, 23032, 1829, 3555], "avg_logprob": -0.22956730520878083, "compression_ratio": 1.6171428571428572, "no_speech_prob": 0.0, "words": [{"start": 1399.09, "end": 1399.73, "word": "نوصل", "probability": 0.85546875}, {"start": 1399.73, "end": 1400.47, "word": " للاخير", "probability": 0.7550455729166666}, {"start": 1400.47, "end": 1401.53, "word": " المشتق", "probability": 0.76123046875}, {"start": 1401.53, "end": 1402.05, "word": " قانوني", "probability": 0.9361572265625}, {"start": 1402.05, "end": 1402.29, "word": " ياله", "probability": 0.440185546875}, {"start": 1402.29, "end": 1403.09, "word": " السالب", "probability": 0.6907958984375}, {"start": 1403.09, "end": 1403.63, "word": " واحد", "probability": 0.94677734375}, {"start": 1403.63, "end": 1403.85, "word": " to", "probability": 0.89794921875}, {"start": 1403.85, "end": 1404.07, "word": " the", "probability": 0.90478515625}, {"start": 1404.07, "end": 1404.59, "word": " power", "probability": 0.90478515625}, {"start": 1404.59, "end": 1405.09, "word": " N", "probability": 0.349609375}, {"start": 1405.09, "end": 1406.09, "word": " في", "probability": 0.459228515625}, {"start": 1406.09, "end": 1406.41, "word": " ال", "probability": 0.89111328125}, {"start": 1406.41, "end": 1406.79, "word": " N", "probability": 0.826171875}, {"start": 1406.79, "end": 1407.81, "word": " نقص", "probability": 0.7880859375}, {"start": 1407.81, "end": 1408.55, "word": " اتنين", "probability": 0.9449462890625}, {"start": 1408.55, "end": 1409.41, "word": " factorial", "probability": 0.71875}, {"start": 1409.41, "end": 1410.89, "word": " على", "probability": 0.50830078125}, {"start": 1410.89, "end": 1411.55, "word": " E", "probability": 0.85791015625}, {"start": 1411.55, "end": 1412.11, "word": " أس", "probability": 0.731689453125}, {"start": 1412.11, "end": 1412.49, "word": " N", "probability": 0.77197265625}, {"start": 1412.49, "end": 1413.07, "word": " نقص", "probability": 0.9609375}, {"start": 1413.07, "end": 1413.71, "word": " واحد", "probability": 0.98291015625}, {"start": 1413.71, "end": 1414.29, "word": " في", "probability": 0.697265625}, {"start": 1414.29, "end": 1414.95, "word": " مين؟", "probability": 0.6487630208333334}, {"start": 1414.95, "end": 1415.15, "word": " في", "probability": 0.91943359375}, {"start": 1415.15, "end": 1415.37, "word": " ال", "probability": 0.89013671875}, {"start": 1415.37, "end": 1415.75, "word": " X", "probability": 0.95849609375}, {"start": 1415.75, "end": 1416.55, "word": " نقص", "probability": 0.9744466145833334}, {"start": 1416.55, "end": 1416.77, "word": " ال", "probability": 0.857421875}, {"start": 1416.77, "end": 1416.99, "word": " E", "probability": 0.97998046875}, {"start": 1416.99, "end": 1417.23, "word": " to", "probability": 0.96728515625}, {"start": 1417.23, "end": 1417.51, "word": " the", "probability": 0.92626953125}, {"start": 1417.51, "end": 1417.91, "word": " power", "probability": 0.87939453125}, {"start": 1417.91, "end": 1418.37, "word": " N", "probability": 0.9580078125}, {"start": 1418.37, "end": 1419.15, "word": " على", "probability": 0.73193359375}, {"start": 1419.15, "end": 1419.49, "word": " N", "probability": 0.9140625}, {"start": 1419.49, "end": 1420.31, "word": " factorial", "probability": 0.8603515625}, {"start": 1420.31, "end": 1421.23, "word": " زائد", "probability": 0.83251953125}, {"start": 1421.23, "end": 1421.51, "word": " إلى", "probability": 0.75439453125}, {"start": 1421.51, "end": 1421.77, "word": " ما", "probability": 0.935546875}, {"start": 1421.77, "end": 1422.09, "word": " شاء", "probability": 0.985595703125}, {"start": 1422.09, "end": 1422.47, "word": " الله", "probability": 0.96337890625}, {"start": 1422.47, "end": 1425.01, "word": " طيب", "probability": 0.951171875}], "temperature": 1.0}, {"id": 61, "seek": 145183, "start": 1425.35, "end": 1451.83, "text": "E زائد اتنين في ال X ناقص ال E زائد واحد على E X ناقص ال E لكل تربيع على اتنين factorial ناقص هذه واحد على E تربيع ايش رأيك اتنين factorial هذه بدي اكتبها اتنين في واحد وهذه اللي هي main", "tokens": [36, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 8978, 2423, 1783, 8717, 995, 4587, 9381, 2423, 462, 30767, 16373, 3215, 36764, 24401, 15844, 462, 1783, 8717, 995, 4587, 9381, 2423, 462, 5296, 28820, 6055, 2288, 21292, 3615, 15844, 1975, 2655, 1863, 9957, 36916, 8717, 995, 4587, 9381, 29538, 36764, 24401, 15844, 462, 6055, 2288, 21292, 3615, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 1975, 2655, 1863, 9957, 36916, 29538, 4724, 16254, 1975, 4117, 2655, 3555, 11296, 1975, 2655, 1863, 9957, 8978, 36764, 24401, 37037, 24192, 13672, 1829, 39896, 2135], "avg_logprob": -0.19097222089767457, "compression_ratio": 1.9483870967741936, "no_speech_prob": 0.0, "words": [{"start": 1425.35, "end": 1425.87, "word": "E", "probability": 0.189453125}, {"start": 1425.87, "end": 1426.83, "word": " زائد", "probability": 0.4594319661458333}, {"start": 1426.83, "end": 1427.43, "word": " اتنين", "probability": 0.9241943359375}, {"start": 1427.43, "end": 1428.09, "word": " في", "probability": 0.630859375}, {"start": 1428.09, "end": 1428.31, "word": " ال", "probability": 0.712890625}, {"start": 1428.31, "end": 1428.61, "word": " X", "probability": 0.8134765625}, {"start": 1428.61, "end": 1429.35, "word": " ناقص", "probability": 0.9163818359375}, {"start": 1429.35, "end": 1429.65, "word": " ال", "probability": 0.84814453125}, {"start": 1429.65, "end": 1429.99, "word": " E", "probability": 0.95654296875}, {"start": 1429.99, "end": 1431.29, "word": " زائد", "probability": 0.8933919270833334}, {"start": 1431.29, "end": 1432.13, "word": " واحد", "probability": 0.926025390625}, {"start": 1432.13, "end": 1432.53, "word": " على", "probability": 0.6748046875}, {"start": 1432.53, "end": 1432.91, "word": " E", "probability": 0.92724609375}, {"start": 1432.91, "end": 1433.77, "word": " X", "probability": 0.90771484375}, {"start": 1433.77, "end": 1434.43, "word": " ناقص", "probability": 0.98291015625}, {"start": 1434.43, "end": 1434.67, "word": " ال", "probability": 0.9248046875}, {"start": 1434.67, "end": 1434.91, "word": " E", "probability": 0.98388671875}, {"start": 1434.91, "end": 1435.37, "word": " لكل", "probability": 0.924560546875}, {"start": 1435.37, "end": 1435.83, "word": " تربيع", "probability": 0.7921142578125}, {"start": 1435.83, "end": 1436.05, "word": " على", "probability": 0.794921875}, {"start": 1436.05, "end": 1436.49, "word": " اتنين", "probability": 0.929443359375}, {"start": 1436.49, "end": 1437.35, "word": " factorial", "probability": 0.6640625}, {"start": 1437.35, "end": 1438.93, "word": " ناقص", "probability": 0.969970703125}, {"start": 1438.93, "end": 1440.33, "word": " هذه", "probability": 0.29150390625}, {"start": 1440.33, "end": 1441.37, "word": " واحد", "probability": 0.9833984375}, {"start": 1441.37, "end": 1442.41, "word": " على", "probability": 0.75830078125}, {"start": 1442.41, "end": 1442.89, "word": " E", "probability": 0.92626953125}, {"start": 1442.89, "end": 1443.97, "word": " تربيع", "probability": 0.93798828125}, {"start": 1443.97, "end": 1444.73, "word": " ايش", "probability": 0.8458658854166666}, {"start": 1444.73, "end": 1445.05, "word": " رأيك", "probability": 0.85345458984375}, {"start": 1445.05, "end": 1445.41, "word": " اتنين", "probability": 0.949462890625}, {"start": 1445.41, "end": 1446.01, "word": " factorial", "probability": 0.88671875}, {"start": 1446.01, "end": 1446.29, "word": " هذه", "probability": 0.57177734375}, {"start": 1446.29, "end": 1446.55, "word": " بدي", "probability": 0.4176025390625}, {"start": 1446.55, "end": 1447.11, "word": " اكتبها", "probability": 0.9728515625}, {"start": 1447.11, "end": 1447.79, "word": " اتنين", "probability": 0.96533203125}, {"start": 1447.79, "end": 1447.99, "word": " في", "probability": 0.9453125}, {"start": 1447.99, "end": 1448.47, "word": " واحد", "probability": 0.9931640625}, {"start": 1448.47, "end": 1450.73, "word": " وهذه", "probability": 0.843505859375}, {"start": 1450.73, "end": 1451.19, "word": " اللي", "probability": 0.925048828125}, {"start": 1451.19, "end": 1451.47, "word": " هي", "probability": 0.869140625}, {"start": 1451.47, "end": 1451.83, "word": " main", "probability": 0.413330078125}], "temperature": 1.0}, {"id": 62, "seek": 148170, "start": 1452.26, "end": 1481.7, "text": "أكس ناقص E لكل تكييب تلاتة factorial التي هي تلاتة في اتنين زائد أربعة في تلاتة في اتنين factorial بتروح معاه اتنين factorial بيصير X ناقص ال E لكل أس أربعة على E تكييب في أربعة في تلاتة", "tokens": [10721, 4117, 3794, 8717, 995, 4587, 9381, 462, 5296, 28820, 6055, 4117, 1829, 1829, 3555, 6055, 1211, 9307, 3660, 36916, 38392, 39896, 6055, 1211, 9307, 3660, 8978, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 5551, 25513, 27884, 8978, 6055, 1211, 9307, 3660, 8978, 1975, 2655, 1863, 9957, 36916, 39894, 32887, 5016, 20449, 40294, 1975, 2655, 1863, 9957, 36916, 4724, 1829, 9381, 13546, 1783, 8717, 995, 4587, 9381, 2423, 462, 5296, 28820, 5551, 3794, 5551, 25513, 27884, 15844, 462, 6055, 4117, 1829, 1829, 3555, 8978, 5551, 25513, 27884, 8978, 6055, 1211, 9307, 3660], "avg_logprob": -0.2508400409452377, "compression_ratio": 1.9869281045751634, "no_speech_prob": 0.0, "words": [{"start": 1452.26, "end": 1453.06, "word": "أكس", "probability": 0.6052958170572916}, {"start": 1453.06, "end": 1454.24, "word": " ناقص", "probability": 0.8929443359375}, {"start": 1454.24, "end": 1454.5, "word": " E", "probability": 0.4111328125}, {"start": 1454.5, "end": 1455.06, "word": " لكل", "probability": 0.88623046875}, {"start": 1455.06, "end": 1455.84, "word": " تكييب", "probability": 0.95576171875}, {"start": 1455.84, "end": 1456.84, "word": " تلاتة", "probability": 0.8502197265625}, {"start": 1456.84, "end": 1457.46, "word": " factorial", "probability": 0.49072265625}, {"start": 1457.46, "end": 1457.7, "word": " التي", "probability": 0.27490234375}, {"start": 1457.7, "end": 1457.84, "word": " هي", "probability": 0.49658203125}, {"start": 1457.84, "end": 1458.34, "word": " تلاتة", "probability": 0.942138671875}, {"start": 1458.34, "end": 1458.48, "word": " في", "probability": 0.806640625}, {"start": 1458.48, "end": 1458.98, "word": " اتنين", "probability": 0.9298095703125}, {"start": 1458.98, "end": 1460.68, "word": " زائد", "probability": 0.77001953125}, {"start": 1460.68, "end": 1465.34, "word": " أربعة", "probability": 0.498779296875}, {"start": 1465.34, "end": 1465.78, "word": " في", "probability": 0.67041015625}, {"start": 1465.78, "end": 1466.84, "word": " تلاتة", "probability": 0.9796142578125}, {"start": 1466.84, "end": 1467.28, "word": " في", "probability": 0.92138671875}, {"start": 1467.28, "end": 1467.96, "word": " اتنين", "probability": 0.9691162109375}, {"start": 1467.96, "end": 1468.78, "word": " factorial", "probability": 0.8115234375}, {"start": 1468.78, "end": 1469.66, "word": " بتروح", "probability": 0.7337239583333334}, {"start": 1469.66, "end": 1470.04, "word": " معاه", "probability": 0.56451416015625}, {"start": 1470.04, "end": 1470.46, "word": " اتنين", "probability": 0.9024658203125}, {"start": 1470.46, "end": 1471.26, "word": " factorial", "probability": 0.82763671875}, {"start": 1471.26, "end": 1472.28, "word": " بيصير", "probability": 0.7999267578125}, {"start": 1472.28, "end": 1472.8, "word": " X", "probability": 0.73828125}, {"start": 1472.8, "end": 1473.82, "word": " ناقص", "probability": 0.979248046875}, {"start": 1473.82, "end": 1474.06, "word": " ال", "probability": 0.51904296875}, {"start": 1474.06, "end": 1474.36, "word": " E", "probability": 0.87353515625}, {"start": 1474.36, "end": 1475.24, "word": " لكل", "probability": 0.931640625}, {"start": 1475.24, "end": 1475.7, "word": " أس", "probability": 0.75}, {"start": 1475.7, "end": 1476.46, "word": " أربعة", "probability": 0.7506510416666666}, {"start": 1476.46, "end": 1477.2, "word": " على", "probability": 0.73681640625}, {"start": 1477.2, "end": 1477.56, "word": " E", "probability": 0.9326171875}, {"start": 1477.56, "end": 1478.48, "word": " تكييب", "probability": 0.99228515625}, {"start": 1478.48, "end": 1479.28, "word": " في", "probability": 0.9716796875}, {"start": 1479.28, "end": 1480.46, "word": " أربعة", "probability": 0.87255859375}, {"start": 1480.46, "end": 1480.8, "word": " في", "probability": 0.98095703125}, {"start": 1480.8, "end": 1481.7, "word": " تلاتة", "probability": 0.9869384765625}], "temperature": 1.0}, {"id": 63, "seek": 150019, "start": 1482.45, "end": 1500.19, "text": "اللي بعده ناقص هذه بنفس الطريقة خمسة في أربعة في تلاتة factorial بتروح مع التلاتة factorial بيظل x ناقص ال E to the power five على E أس أربعة خمسة في أربعة", "tokens": [6027, 20292, 39182, 3224, 8717, 995, 4587, 9381, 29538, 44945, 36178, 41950, 16572, 28671, 16490, 2304, 3794, 3660, 8978, 5551, 25513, 27884, 8978, 6055, 1211, 9307, 3660, 36916, 39894, 32887, 5016, 20449, 16712, 1211, 9307, 3660, 36916, 4724, 1829, 19913, 1211, 2031, 8717, 995, 4587, 9381, 2423, 462, 281, 264, 1347, 1732, 15844, 462, 5551, 3794, 5551, 25513, 27884, 16490, 2304, 3794, 3660, 8978, 5551, 25513, 27884], "avg_logprob": -0.19542738904847817, "compression_ratio": 1.5741935483870968, "no_speech_prob": 0.0, "words": [{"start": 1482.45, "end": 1482.93, "word": "اللي", "probability": 0.3138427734375}, {"start": 1482.93, "end": 1483.49, "word": " بعده", "probability": 0.9345703125}, {"start": 1483.49, "end": 1484.61, "word": " ناقص", "probability": 0.8756103515625}, {"start": 1484.61, "end": 1485.37, "word": " هذه", "probability": 0.441162109375}, {"start": 1485.37, "end": 1485.85, "word": " بنفس", "probability": 0.95703125}, {"start": 1485.85, "end": 1486.61, "word": " الطريقة", "probability": 0.98828125}, {"start": 1486.61, "end": 1487.47, "word": " خمسة", "probability": 0.9276123046875}, {"start": 1487.47, "end": 1487.63, "word": " في", "probability": 0.95166015625}, {"start": 1487.63, "end": 1488.09, "word": " أربعة", "probability": 0.8792317708333334}, {"start": 1488.09, "end": 1488.31, "word": " في", "probability": 0.880859375}, {"start": 1488.31, "end": 1488.79, "word": " تلاتة", "probability": 0.963134765625}, {"start": 1488.79, "end": 1489.41, "word": " factorial", "probability": 0.63623046875}, {"start": 1489.41, "end": 1490.27, "word": " بتروح", "probability": 0.92578125}, {"start": 1490.27, "end": 1490.49, "word": " مع", "probability": 0.98046875}, {"start": 1490.49, "end": 1491.15, "word": " التلاتة", "probability": 0.955322265625}, {"start": 1491.15, "end": 1491.93, "word": " factorial", "probability": 0.87451171875}, {"start": 1491.93, "end": 1492.73, "word": " بيظل", "probability": 0.58404541015625}, {"start": 1492.73, "end": 1493.17, "word": " x", "probability": 0.5234375}, {"start": 1493.17, "end": 1493.87, "word": " ناقص", "probability": 0.9873046875}, {"start": 1493.87, "end": 1494.07, "word": " ال", "probability": 0.837890625}, {"start": 1494.07, "end": 1494.33, "word": " E", "probability": 0.64404296875}, {"start": 1494.33, "end": 1494.51, "word": " to", "probability": 0.86865234375}, {"start": 1494.51, "end": 1494.75, "word": " the", "probability": 0.91845703125}, {"start": 1494.75, "end": 1495.15, "word": " power", "probability": 0.8955078125}, {"start": 1495.15, "end": 1495.75, "word": " five", "probability": 0.50537109375}, {"start": 1495.75, "end": 1496.53, "word": " على", "probability": 0.7255859375}, {"start": 1496.53, "end": 1496.89, "word": " E", "probability": 0.7802734375}, {"start": 1496.89, "end": 1497.25, "word": " أس", "probability": 0.6126708984375}, {"start": 1497.25, "end": 1498.05, "word": " أربعة", "probability": 0.87158203125}, {"start": 1498.05, "end": 1499.35, "word": " خمسة", "probability": 0.9700927734375}, {"start": 1499.35, "end": 1499.59, "word": " في", "probability": 0.990234375}, {"start": 1499.59, "end": 1500.19, "word": " أربعة", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 64, "seek": 152941, "start": 1500.71, "end": 1529.41, "text": "زائد زائد هذه بنفس الطريقة ناقص واحد to the power N في ال X ناقص ال E to the power N على N في N ناقص واحد N ناقص اتنين factorial مع N ناقص اتنين factorial زائد إلى آخرين اه في ان هنا E أس N ناقص واحد", "tokens": [11622, 16373, 3215, 30767, 16373, 3215, 29538, 44945, 36178, 41950, 16572, 28671, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 426, 8978, 2423, 1783, 8717, 995, 4587, 9381, 2423, 462, 281, 264, 1347, 426, 15844, 426, 8978, 426, 8717, 995, 4587, 9381, 36764, 24401, 426, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 36916, 20449, 426, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 36916, 30767, 16373, 3215, 30731, 19753, 34740, 9957, 1975, 3224, 8978, 16472, 34105, 462, 5551, 3794, 426, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.18293539191899674, "compression_ratio": 1.8588957055214723, "no_speech_prob": 0.0, "words": [{"start": 1500.71, "end": 1501.57, "word": "زائد", "probability": 0.686767578125}, {"start": 1501.57, "end": 1502.55, "word": " زائد", "probability": 0.7623697916666666}, {"start": 1502.55, "end": 1503.21, "word": " هذه", "probability": 0.486328125}, {"start": 1503.21, "end": 1503.69, "word": " بنفس", "probability": 0.97802734375}, {"start": 1503.69, "end": 1504.35, "word": " الطريقة", "probability": 0.9900716145833334}, {"start": 1504.35, "end": 1504.85, "word": " ناقص", "probability": 0.7989501953125}, {"start": 1504.85, "end": 1505.27, "word": " واحد", "probability": 0.980224609375}, {"start": 1505.27, "end": 1505.49, "word": " to", "probability": 0.900390625}, {"start": 1505.49, "end": 1505.73, "word": " the", "probability": 0.89404296875}, {"start": 1505.73, "end": 1506.31, "word": " power", "probability": 0.89013671875}, {"start": 1506.31, "end": 1506.85, "word": " N", "probability": 0.201171875}, {"start": 1506.85, "end": 1507.57, "word": " في", "probability": 0.7822265625}, {"start": 1507.57, "end": 1507.85, "word": " ال", "probability": 0.787109375}, {"start": 1507.85, "end": 1508.21, "word": " X", "probability": 0.8134765625}, {"start": 1508.21, "end": 1508.97, "word": " ناقص", "probability": 0.9532470703125}, {"start": 1508.97, "end": 1509.29, "word": " ال", "probability": 0.75830078125}, {"start": 1509.29, "end": 1509.51, "word": " E", "probability": 0.9384765625}, {"start": 1509.51, "end": 1509.77, "word": " to", "probability": 0.95263671875}, {"start": 1509.77, "end": 1510.11, "word": " the", "probability": 0.921875}, {"start": 1510.11, "end": 1510.65, "word": " power", "probability": 0.8828125}, {"start": 1510.65, "end": 1511.23, "word": " N", "probability": 0.966796875}, {"start": 1511.23, "end": 1512.09, "word": " على", "probability": 0.76416015625}, {"start": 1512.09, "end": 1512.63, "word": " N", "probability": 0.560546875}, {"start": 1512.63, "end": 1513.29, "word": " في", "probability": 0.76953125}, {"start": 1513.29, "end": 1513.83, "word": " N", "probability": 0.9541015625}, {"start": 1513.83, "end": 1514.79, "word": " ناقص", "probability": 0.9920654296875}, {"start": 1514.79, "end": 1515.35, "word": " واحد", "probability": 0.977783203125}, {"start": 1515.35, "end": 1515.97, "word": " N", "probability": 0.5068359375}, {"start": 1515.97, "end": 1516.45, "word": " ناقص", "probability": 0.9296875}, {"start": 1516.45, "end": 1516.83, "word": " اتنين", "probability": 0.9561767578125}, {"start": 1516.83, "end": 1517.55, "word": " factorial", "probability": 0.73583984375}, {"start": 1517.55, "end": 1518.17, "word": " مع", "probability": 0.96240234375}, {"start": 1518.17, "end": 1518.45, "word": " N", "probability": 0.8369140625}, {"start": 1518.45, "end": 1518.89, "word": " ناقص", "probability": 0.990234375}, {"start": 1518.89, "end": 1519.37, "word": " اتنين", "probability": 0.990234375}, {"start": 1519.37, "end": 1520.37, "word": " factorial", "probability": 0.8759765625}, {"start": 1520.37, "end": 1521.35, "word": " زائد", "probability": 0.9729817708333334}, {"start": 1521.35, "end": 1521.67, "word": " إلى", "probability": 0.72998046875}, {"start": 1521.67, "end": 1522.37, "word": " آخرين", "probability": 0.6857096354166666}, {"start": 1522.37, "end": 1525.27, "word": " اه", "probability": 0.6065673828125}, {"start": 1525.27, "end": 1525.39, "word": " في", "probability": 0.828125}, {"start": 1525.39, "end": 1525.71, "word": " ان", "probability": 0.2259521484375}, {"start": 1525.71, "end": 1526.33, "word": " هنا", "probability": 0.986328125}, {"start": 1526.33, "end": 1527.57, "word": " E", "probability": 0.92333984375}, {"start": 1527.57, "end": 1528.17, "word": " أس", "probability": 0.667236328125}, {"start": 1528.17, "end": 1528.55, "word": " N", "probability": 0.861328125}, {"start": 1528.55, "end": 1529.07, "word": " ناقص", "probability": 0.992431640625}, {"start": 1529.07, "end": 1529.41, "word": " واحد", "probability": 0.989013671875}], "temperature": 1.0}, {"id": 65, "seek": 154133, "start": 1530.77, "end": 1541.33, "text": "طيب، هذا الكلام يساوي، بدي أضع هذه على شكل power series، summation، يبقى هذه ايه؟", "tokens": [9566, 1829, 3555, 12399, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 12399, 4724, 16254, 5551, 11242, 3615, 29538, 15844, 13412, 28820, 1347, 2638, 12399, 28811, 12399, 7251, 3555, 4587, 7578, 29538, 1975, 1829, 3224, 22807], "avg_logprob": -0.4178631692319303, "compression_ratio": 1.1327433628318584, "no_speech_prob": 0.0, "words": [{"start": 1530.77, "end": 1531.93, "word": "طيب،", "probability": 0.529571533203125}, {"start": 1531.93, "end": 1532.25, "word": " هذا", "probability": 0.8642578125}, {"start": 1532.25, "end": 1532.99, "word": " الكلام", "probability": 0.9278971354166666}, {"start": 1532.99, "end": 1533.93, "word": " يساوي،", "probability": 0.91708984375}, {"start": 1533.93, "end": 1534.29, "word": " بدي", "probability": 0.461181640625}, {"start": 1534.29, "end": 1534.63, "word": " أضع", "probability": 0.6305338541666666}, {"start": 1534.63, "end": 1535.07, "word": " هذه", "probability": 0.396484375}, {"start": 1535.07, "end": 1535.33, "word": " على", "probability": 0.86865234375}, {"start": 1535.33, "end": 1535.91, "word": " شكل", "probability": 0.972900390625}, {"start": 1535.91, "end": 1536.49, "word": " power", "probability": 0.57177734375}, {"start": 1536.49, "end": 1537.95, "word": " series،", "probability": 0.5936279296875}, {"start": 1537.95, "end": 1539.19, "word": " summation،", "probability": 0.32830810546875}, {"start": 1539.19, "end": 1540.11, "word": " يبقى", "probability": 0.8665771484375}, {"start": 1540.11, "end": 1540.55, "word": " هذه", "probability": 0.88525390625}, {"start": 1540.55, "end": 1541.33, "word": " ايه؟", "probability": 0.83587646484375}], "temperature": 1.0}, {"id": 66, "seek": 156601, "start": 1541.63, "end": 1566.01, "text": "زائد اتنين في ال X ناقص ال E هدول الترميات الاتنين مافيهمش واحد على E بالمرة يبقى بده اخليهم لحالهم والباقية اخدهم مع بعضهم وبعدين نتفاهم على هذا القصة يبقى زائد summation بده احط شكل الحد النوني to the power N", "tokens": [11622, 16373, 3215, 1975, 2655, 1863, 9957, 8978, 2423, 1783, 8717, 995, 4587, 9381, 2423, 462, 8032, 3215, 12610, 16712, 2288, 2304, 1829, 9307, 2423, 9307, 1863, 9957, 19446, 41185, 16095, 8592, 36764, 24401, 15844, 462, 20666, 2304, 25720, 7251, 3555, 4587, 7578, 47525, 3224, 1975, 9778, 20292, 16095, 5296, 5016, 6027, 16095, 16070, 3555, 995, 4587, 10632, 1975, 9778, 3215, 16095, 20449, 45030, 11242, 16095, 46599, 22488, 9957, 8717, 2655, 5172, 995, 16095, 15844, 23758, 25062, 9381, 3660, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 28811, 47525, 3224, 1975, 5016, 9566, 13412, 28820, 21542, 3215, 28239, 11536, 1829, 281, 264, 1347, 426], "avg_logprob": -0.27463940960856587, "compression_ratio": 1.7, "no_speech_prob": 0.0, "words": [{"start": 1541.63, "end": 1542.39, "word": "زائد", "probability": 0.6796875}, {"start": 1542.39, "end": 1543.29, "word": " اتنين", "probability": 0.8609619140625}, {"start": 1543.29, "end": 1543.89, "word": " في", "probability": 0.77783203125}, {"start": 1543.89, "end": 1544.11, "word": " ال", "probability": 0.80419921875}, {"start": 1544.11, "end": 1544.55, "word": " X", "probability": 0.370361328125}, {"start": 1544.55, "end": 1545.45, "word": " ناقص", "probability": 0.9471435546875}, {"start": 1545.45, "end": 1545.71, "word": " ال", "probability": 0.72998046875}, {"start": 1545.71, "end": 1545.99, "word": " E", "probability": 0.81005859375}, {"start": 1545.99, "end": 1546.87, "word": " هدول", "probability": 0.7291666666666666}, {"start": 1546.87, "end": 1547.61, "word": " الترميات", "probability": 0.74228515625}, {"start": 1547.61, "end": 1548.09, "word": " الاتنين", "probability": 0.78106689453125}, {"start": 1548.09, "end": 1548.87, "word": " مافيهمش", "probability": 0.8243408203125}, {"start": 1548.87, "end": 1549.47, "word": " واحد", "probability": 0.97216796875}, {"start": 1549.47, "end": 1549.87, "word": " على", "probability": 0.669921875}, {"start": 1549.87, "end": 1550.23, "word": " E", "probability": 0.490478515625}, {"start": 1550.23, "end": 1550.95, "word": " بالمرة", "probability": 0.9129231770833334}, {"start": 1550.95, "end": 1551.71, "word": " يبقى", "probability": 0.9237060546875}, {"start": 1551.71, "end": 1551.99, "word": " بده", "probability": 0.4906005859375}, {"start": 1551.99, "end": 1552.61, "word": " اخليهم", "probability": 0.715087890625}, {"start": 1552.61, "end": 1553.33, "word": " لحالهم", "probability": 0.9793701171875}, {"start": 1553.33, "end": 1554.25, "word": " والباقية", "probability": 0.612939453125}, {"start": 1554.25, "end": 1554.79, "word": " اخدهم", "probability": 0.8277587890625}, {"start": 1554.79, "end": 1554.97, "word": " مع", "probability": 0.986328125}, {"start": 1554.97, "end": 1555.61, "word": " بعضهم", "probability": 0.98388671875}, {"start": 1555.61, "end": 1556.45, "word": " وبعدين", "probability": 0.7332356770833334}, {"start": 1556.45, "end": 1557.17, "word": " نتفاهم", "probability": 0.84658203125}, {"start": 1557.17, "end": 1557.43, "word": " على", "probability": 0.65771484375}, {"start": 1557.43, "end": 1557.71, "word": " هذا", "probability": 0.369873046875}, {"start": 1557.71, "end": 1558.19, "word": " القصة", "probability": 0.69921875}, {"start": 1558.19, "end": 1559.53, "word": " يبقى", "probability": 0.8709716796875}, {"start": 1559.53, "end": 1560.25, "word": " زائد", "probability": 0.8800455729166666}, {"start": 1560.25, "end": 1561.23, "word": " summation", "probability": 0.5947265625}, {"start": 1561.23, "end": 1562.09, "word": " بده", "probability": 0.63427734375}, {"start": 1562.09, "end": 1562.33, "word": " احط", "probability": 0.7473958333333334}, {"start": 1562.33, "end": 1562.85, "word": " شكل", "probability": 0.97119140625}, {"start": 1562.85, "end": 1563.53, "word": " الحد", "probability": 0.98046875}, {"start": 1563.53, "end": 1564.43, "word": " النوني", "probability": 0.6965738932291666}, {"start": 1564.43, "end": 1564.75, "word": " to", "probability": 0.80615234375}, {"start": 1564.75, "end": 1564.99, "word": " the", "probability": 0.89892578125}, {"start": 1564.99, "end": 1565.51, "word": " power", "probability": 0.89599609375}, {"start": 1565.51, "end": 1566.01, "word": " N", "probability": 0.64501953125}], "temperature": 1.0}, {"id": 67, "seek": 158399, "start": 1578.85, "end": 1583.99, "text": "يبقى كتبت البرج بال summation و كتبت اتنين هدول", "tokens": [1829, 3555, 4587, 7578, 9122, 2655, 3555, 2655, 2423, 26890, 7435, 20666, 28811, 4032, 9122, 2655, 3555, 2655, 1975, 2655, 1863, 9957, 8032, 3215, 12610], "avg_logprob": -0.31069711996958804, "compression_ratio": 1.0405405405405406, "no_speech_prob": 0.0, "words": [{"start": 1578.8500000000001, "end": 1579.93, "word": "يبقى", "probability": 0.66998291015625}, {"start": 1579.93, "end": 1580.43, "word": " كتبت", "probability": 0.872802734375}, {"start": 1580.43, "end": 1580.81, "word": " البرج", "probability": 0.80224609375}, {"start": 1580.81, "end": 1580.97, "word": " بال", "probability": 0.6884765625}, {"start": 1580.97, "end": 1581.55, "word": " summation", "probability": 0.138916015625}, {"start": 1581.55, "end": 1582.15, "word": " و", "probability": 0.8427734375}, {"start": 1582.15, "end": 1582.69, "word": " كتبت", "probability": 0.86962890625}, {"start": 1582.69, "end": 1583.21, "word": " اتنين", "probability": 0.92041015625}, {"start": 1583.21, "end": 1583.99, "word": " هدول", "probability": 0.8390299479166666}], "temperature": 1.0}, {"id": 68, "seek": 161337, "start": 1584.73, "end": 1613.37, "text": "يبقى روحنا و كتبنا المعادلة اللى عندنا او ال series اللى عندنا على هذا الشكل تعالى نشوف هل يمكن ضمى two terms لهذا ال summation ولا لأ طب ال summation بده يبدأ من عند N تساوي مش عارف جداش لغاية infinity من وين بده يبدأ؟ اتنين طبعا احنا طلعنا اول حد Zero و واحد اذا N بده يبدأ من عند اتنين", "tokens": [1829, 3555, 4587, 7578, 12602, 2407, 5016, 8315, 4032, 9122, 2655, 3555, 8315, 9673, 3615, 18513, 37977, 13672, 7578, 43242, 8315, 1975, 2407, 2423, 2638, 13672, 7578, 43242, 8315, 15844, 23758, 25124, 28820, 37279, 6027, 7578, 8717, 8592, 38688, 8032, 1211, 7251, 43020, 48812, 2304, 7578, 732, 2115, 46740, 15730, 2423, 28811, 49429, 5296, 10721, 23032, 3555, 2423, 28811, 47525, 3224, 7251, 44510, 10721, 9154, 43242, 426, 6055, 3794, 995, 45865, 37893, 6225, 9640, 5172, 10874, 3215, 33599, 5296, 17082, 995, 10632, 13202, 9154, 4032, 9957, 47525, 3224, 7251, 44510, 10721, 22807, 1975, 2655, 1863, 9957, 23032, 3555, 3615, 995, 1975, 5016, 8315, 23032, 1211, 3615, 8315, 1975, 12610, 11331, 3215, 17182, 4032, 36764, 24401, 1975, 15730, 426, 47525, 3224, 7251, 44510, 10721, 9154, 43242, 1975, 2655, 1863, 9957], "avg_logprob": -0.20300480838005358, "compression_ratio": 1.8359375, "no_speech_prob": 0.0, "words": [{"start": 1584.73, "end": 1585.15, "word": "يبقى", "probability": 0.585784912109375}, {"start": 1585.15, "end": 1585.49, "word": " روحنا", "probability": 0.762939453125}, {"start": 1585.49, "end": 1585.63, "word": " و", "probability": 0.52587890625}, {"start": 1585.63, "end": 1586.03, "word": " كتبنا", "probability": 0.83026123046875}, {"start": 1586.03, "end": 1587.67, "word": " المعادلة", "probability": 0.8896484375}, {"start": 1587.67, "end": 1587.95, "word": " اللى", "probability": 0.535888671875}, {"start": 1587.95, "end": 1588.17, "word": " عندنا", "probability": 0.6683349609375}, {"start": 1588.17, "end": 1588.53, "word": " او", "probability": 0.77978515625}, {"start": 1588.53, "end": 1588.67, "word": " ال", "probability": 0.75439453125}, {"start": 1588.67, "end": 1588.93, "word": " series", "probability": 0.81103515625}, {"start": 1588.93, "end": 1589.15, "word": " اللى", "probability": 0.975341796875}, {"start": 1589.15, "end": 1589.45, "word": " عندنا", "probability": 0.890380859375}, {"start": 1589.45, "end": 1589.67, "word": " على", "probability": 0.8828125}, {"start": 1589.67, "end": 1590.19, "word": " هذا", "probability": 0.9248046875}, {"start": 1590.19, "end": 1590.87, "word": " الشكل", "probability": 0.984619140625}, {"start": 1590.87, "end": 1591.91, "word": " تعالى", "probability": 0.9104817708333334}, {"start": 1591.91, "end": 1592.29, "word": " نشوف", "probability": 0.9954427083333334}, {"start": 1592.29, "end": 1592.75, "word": " هل", "probability": 0.97802734375}, {"start": 1592.75, "end": 1593.35, "word": " يمكن", "probability": 0.976318359375}, {"start": 1593.35, "end": 1593.95, "word": " ضمى", "probability": 0.6350911458333334}, {"start": 1593.95, "end": 1594.23, "word": " two", "probability": 0.58447265625}, {"start": 1594.23, "end": 1594.91, "word": " terms", "probability": 0.87939453125}, {"start": 1594.91, "end": 1595.35, "word": " لهذا", "probability": 0.806396484375}, {"start": 1595.35, "end": 1595.49, "word": " ال", "probability": 0.9072265625}, {"start": 1595.49, "end": 1595.93, "word": " summation", "probability": 0.8427734375}, {"start": 1595.93, "end": 1596.25, "word": " ولا", "probability": 0.82861328125}, {"start": 1596.25, "end": 1596.61, "word": " لأ", "probability": 0.7578125}, {"start": 1596.61, "end": 1597.25, "word": " طب", "probability": 0.7064208984375}, {"start": 1597.25, "end": 1597.41, "word": " ال", "probability": 0.88330078125}, {"start": 1597.41, "end": 1597.93, "word": " summation", "probability": 0.95068359375}, {"start": 1597.93, "end": 1598.43, "word": " بده", "probability": 0.739013671875}, {"start": 1598.43, "end": 1598.85, "word": " يبدأ", "probability": 0.9005533854166666}, {"start": 1598.85, "end": 1599.03, "word": " من", "probability": 0.962890625}, {"start": 1599.03, "end": 1599.35, "word": " عند", "probability": 0.97265625}, {"start": 1599.35, "end": 1599.75, "word": " N", "probability": 0.414794921875}, {"start": 1599.75, "end": 1600.37, "word": " تساوي", "probability": 0.881591796875}, {"start": 1600.37, "end": 1600.55, "word": " مش", "probability": 0.9267578125}, {"start": 1600.55, "end": 1600.83, "word": " عارف", "probability": 0.9921875}, {"start": 1600.83, "end": 1601.35, "word": " جداش", "probability": 0.82275390625}, {"start": 1601.35, "end": 1601.97, "word": " لغاية", "probability": 0.97998046875}, {"start": 1601.97, "end": 1602.71, "word": " infinity", "probability": 0.66455078125}, {"start": 1602.71, "end": 1603.37, "word": " من", "probability": 0.88623046875}, {"start": 1603.37, "end": 1603.71, "word": " وين", "probability": 0.897705078125}, {"start": 1603.71, "end": 1604.09, "word": " بده", "probability": 0.932373046875}, {"start": 1604.09, "end": 1605.47, "word": " يبدأ؟", "probability": 0.888427734375}, {"start": 1605.47, "end": 1606.47, "word": " اتنين", "probability": 0.87158203125}, {"start": 1606.47, "end": 1607.51, "word": " طبعا", "probability": 0.919921875}, {"start": 1607.51, "end": 1607.77, "word": " احنا", "probability": 0.9775390625}, {"start": 1607.77, "end": 1608.51, "word": " طلعنا", "probability": 0.9791259765625}, {"start": 1608.51, "end": 1608.97, "word": " اول", "probability": 0.845458984375}, {"start": 1608.97, "end": 1609.45, "word": " حد", "probability": 0.990478515625}, {"start": 1609.45, "end": 1610.17, "word": " Zero", "probability": 0.288330078125}, {"start": 1610.17, "end": 1610.59, "word": " و", "probability": 0.81982421875}, {"start": 1610.59, "end": 1611.01, "word": " واحد", "probability": 0.9267578125}, {"start": 1611.01, "end": 1611.33, "word": " اذا", "probability": 0.78857421875}, {"start": 1611.33, "end": 1611.63, "word": " N", "probability": 0.5166015625}, {"start": 1611.63, "end": 1611.97, "word": " بده", "probability": 0.881103515625}, {"start": 1611.97, "end": 1612.23, "word": " يبدأ", "probability": 0.9827473958333334}, {"start": 1612.23, "end": 1612.35, "word": " من", "probability": 0.95361328125}, {"start": 1612.35, "end": 1612.71, "word": " عند", "probability": 0.603515625}, {"start": 1612.71, "end": 1613.37, "word": " اتنين", "probability": 0.9189453125}], "temperature": 1.0}, {"id": 69, "seek": 162685, "start": 1619.71, "end": 1626.85, "text": "هل ال series معرفة عند ال zero او عند ال واحد؟ لازير و لا واحد", "tokens": [3224, 1211, 2423, 2638, 20449, 28480, 3660, 43242, 2423, 4018, 1975, 2407, 43242, 2423, 36764, 24401, 22807, 5296, 31377, 13546, 4032, 20193, 36764, 24401], "avg_logprob": -0.47468750953674316, "compression_ratio": 1.25, "no_speech_prob": 0.0, "words": [{"start": 1619.71, "end": 1620.39, "word": "هل", "probability": 0.54345703125}, {"start": 1620.39, "end": 1620.63, "word": " ال", "probability": 0.6162109375}, {"start": 1620.63, "end": 1621.03, "word": " series", "probability": 0.432373046875}, {"start": 1621.03, "end": 1622.05, "word": " معرفة", "probability": 0.8689778645833334}, {"start": 1622.05, "end": 1622.33, "word": " عند", "probability": 0.92626953125}, {"start": 1622.33, "end": 1622.57, "word": " ال", "probability": 0.7587890625}, {"start": 1622.57, "end": 1622.99, "word": " zero", "probability": 0.392822265625}, {"start": 1622.99, "end": 1623.57, "word": " او", "probability": 0.7379150390625}, {"start": 1623.57, "end": 1623.81, "word": " عند", "probability": 0.880859375}, {"start": 1623.81, "end": 1623.97, "word": " ال", "probability": 0.96142578125}, {"start": 1623.97, "end": 1624.89, "word": " واحد؟", "probability": 0.7970377604166666}, {"start": 1624.89, "end": 1626.17, "word": " لازير", "probability": 0.4210611979166667}, {"start": 1626.17, "end": 1626.35, "word": " و", "probability": 0.53564453125}, {"start": 1626.35, "end": 1626.51, "word": " لا", "probability": 0.9423828125}, {"start": 1626.51, "end": 1626.85, "word": " واحد", "probability": 0.97509765625}], "temperature": 1.0}, {"id": 70, "seek": 164600, "start": 1630.22, "end": 1646.0, "text": "طلعناهم برا في القمتين اللي برا وبالتالي قال ال submission إلى الشكل اللي قدامنا يبقى هذا الشكل صحيح مائة بالمائة تمام؟ حد يلو أي استفسار هنا قبل مفوت للمثال اللي بعده؟", "tokens": [9566, 1211, 3615, 8315, 16095, 4724, 23557, 8978, 25062, 2304, 2655, 9957, 13672, 1829, 4724, 23557, 46599, 6027, 2655, 6027, 1829, 50239, 2423, 23689, 30731, 25124, 28820, 13672, 1829, 12174, 3215, 10943, 8315, 7251, 3555, 4587, 7578, 23758, 25124, 28820, 20328, 5016, 1829, 5016, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 46811, 10943, 22807, 11331, 3215, 7251, 1211, 2407, 36632, 44713, 36178, 9640, 34105, 12174, 36150, 3714, 5172, 35473, 24976, 2304, 12984, 6027, 13672, 1829, 39182, 3224, 22807], "avg_logprob": -0.19214795020562184, "compression_ratio": 1.6444444444444444, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1630.22, "end": 1630.98, "word": "طلعناهم", "probability": 0.789599609375}, {"start": 1630.98, "end": 1631.3, "word": " برا", "probability": 0.83837890625}, {"start": 1631.3, "end": 1631.48, "word": " في", "probability": 0.59326171875}, {"start": 1631.48, "end": 1632.18, "word": " القمتين", "probability": 0.9102783203125}, {"start": 1632.18, "end": 1632.38, "word": " اللي", "probability": 0.744140625}, {"start": 1632.38, "end": 1632.76, "word": " برا", "probability": 0.985595703125}, {"start": 1632.76, "end": 1633.74, "word": " وبالتالي", "probability": 0.9220703125}, {"start": 1633.74, "end": 1633.98, "word": " قال", "probability": 0.7275390625}, {"start": 1633.98, "end": 1634.12, "word": " ال", "probability": 0.779296875}, {"start": 1634.12, "end": 1634.52, "word": " submission", "probability": 0.63134765625}, {"start": 1634.52, "end": 1634.82, "word": " إلى", "probability": 0.333251953125}, {"start": 1634.82, "end": 1635.16, "word": " الشكل", "probability": 0.974365234375}, {"start": 1635.16, "end": 1635.26, "word": " اللي", "probability": 0.94091796875}, {"start": 1635.26, "end": 1635.8, "word": " قدامنا", "probability": 0.9730224609375}, {"start": 1635.8, "end": 1636.3, "word": " يبقى", "probability": 0.9576416015625}, {"start": 1636.3, "end": 1636.64, "word": " هذا", "probability": 0.92333984375}, {"start": 1636.64, "end": 1637.32, "word": " الشكل", "probability": 0.900390625}, {"start": 1637.32, "end": 1638.54, "word": " صحيح", "probability": 0.99755859375}, {"start": 1638.54, "end": 1639.1, "word": " مائة", "probability": 0.7919921875}, {"start": 1639.1, "end": 1639.86, "word": " بالمائة", "probability": 0.9044189453125}, {"start": 1639.86, "end": 1641.2, "word": " تمام؟", "probability": 0.69921875}, {"start": 1641.2, "end": 1641.5, "word": " حد", "probability": 0.89892578125}, {"start": 1641.5, "end": 1641.76, "word": " يلو", "probability": 0.5834147135416666}, {"start": 1641.76, "end": 1641.9, "word": " أي", "probability": 0.79638671875}, {"start": 1641.9, "end": 1642.52, "word": " استفسار", "probability": 0.9801432291666666}, {"start": 1642.52, "end": 1642.76, "word": " هنا", "probability": 0.94189453125}, {"start": 1642.76, "end": 1643.1, "word": " قبل", "probability": 0.8427734375}, {"start": 1643.1, "end": 1643.48, "word": " مفوت", "probability": 0.7731119791666666}, {"start": 1643.48, "end": 1644.04, "word": " للمثال", "probability": 0.7926025390625}, {"start": 1644.04, "end": 1644.22, "word": " اللي", "probability": 0.97412109375}, {"start": 1644.22, "end": 1646.0, "word": " بعده؟", "probability": 0.923828125}], "temperature": 1.0}, {"id": 71, "seek": 167556, "start": 1649.56, "end": 1675.56, "text": "ما اختصرناش هادى هاه هادى قصدك يعني هادى cdi ناقص واحد to the power n n ناقص اتنين factorial x ناقص ال e to the power n e plus n ناقص واحد لأن هذا ال n factorial اللى ال n في n ناقص واحد في n ناقص اتنين factorial", "tokens": [15042, 1975, 46456, 9381, 2288, 8315, 8592, 8032, 18513, 7578, 8032, 40294, 8032, 18513, 7578, 12174, 9381, 3215, 4117, 37495, 22653, 8032, 18513, 7578, 269, 4504, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 297, 297, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 36916, 2031, 8717, 995, 4587, 9381, 2423, 308, 281, 264, 1347, 297, 308, 1804, 297, 8717, 995, 4587, 9381, 36764, 24401, 5296, 33456, 23758, 2423, 297, 36916, 13672, 7578, 2423, 297, 8978, 297, 8717, 995, 4587, 9381, 36764, 24401, 8978, 297, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 36916], "avg_logprob": -0.28645833178112906, "compression_ratio": 1.94375, "no_speech_prob": 0.0, "words": [{"start": 1649.56, "end": 1649.84, "word": "ما", "probability": 0.31201171875}, {"start": 1649.84, "end": 1650.86, "word": " اختصرناش", "probability": 0.8057454427083334}, {"start": 1650.86, "end": 1651.4, "word": " هادى", "probability": 0.2547200520833333}, {"start": 1651.4, "end": 1651.9, "word": " هاه", "probability": 0.349365234375}, {"start": 1651.9, "end": 1652.8, "word": " هادى", "probability": 0.8001302083333334}, {"start": 1652.8, "end": 1653.2, "word": " قصدك", "probability": 0.79205322265625}, {"start": 1653.2, "end": 1653.52, "word": " يعني", "probability": 0.80078125}, {"start": 1653.52, "end": 1654.82, "word": " هادى", "probability": 0.8859049479166666}, {"start": 1654.82, "end": 1655.58, "word": " cdi", "probability": 0.38482666015625}, {"start": 1655.58, "end": 1656.22, "word": " ناقص", "probability": 0.938720703125}, {"start": 1656.22, "end": 1656.68, "word": " واحد", "probability": 0.974609375}, {"start": 1656.68, "end": 1656.9, "word": " to", "probability": 0.9462890625}, {"start": 1656.9, "end": 1657.08, "word": " the", "probability": 0.8818359375}, {"start": 1657.08, "end": 1657.54, "word": " power", "probability": 0.8994140625}, {"start": 1657.54, "end": 1658.04, "word": " n", "probability": 0.7666015625}, {"start": 1658.04, "end": 1658.94, "word": " n", "probability": 0.367431640625}, {"start": 1658.94, "end": 1659.48, "word": " ناقص", "probability": 0.957275390625}, {"start": 1659.48, "end": 1660.02, "word": " اتنين", "probability": 0.967041015625}, {"start": 1660.02, "end": 1660.76, "word": " factorial", "probability": 0.80712890625}, {"start": 1660.76, "end": 1661.74, "word": " x", "probability": 0.78515625}, {"start": 1661.74, "end": 1662.36, "word": " ناقص", "probability": 0.9852294921875}, {"start": 1662.36, "end": 1662.56, "word": " ال", "probability": 0.88525390625}, {"start": 1662.56, "end": 1662.78, "word": " e", "probability": 0.47509765625}, {"start": 1662.78, "end": 1662.98, "word": " to", "probability": 0.94970703125}, {"start": 1662.98, "end": 1663.24, "word": " the", "probability": 0.9208984375}, {"start": 1663.24, "end": 1663.64, "word": " power", "probability": 0.89306640625}, {"start": 1663.64, "end": 1664.16, "word": " n", "probability": 0.92724609375}, {"start": 1664.16, "end": 1664.8, "word": " e", "probability": 0.16455078125}, {"start": 1664.8, "end": 1665.2, "word": " plus", "probability": 0.084228515625}, {"start": 1665.2, "end": 1665.54, "word": " n", "probability": 0.953125}, {"start": 1665.54, "end": 1666.16, "word": " ناقص", "probability": 0.993408203125}, {"start": 1666.16, "end": 1667.02, "word": " واحد", "probability": 0.991455078125}, {"start": 1667.02, "end": 1667.52, "word": " لأن", "probability": 0.794921875}, {"start": 1667.52, "end": 1667.92, "word": " هذا", "probability": 0.7705078125}, {"start": 1667.92, "end": 1668.44, "word": " ال", "probability": 0.97314453125}, {"start": 1668.44, "end": 1668.76, "word": " n", "probability": 0.6669921875}, {"start": 1668.76, "end": 1669.54, "word": " factorial", "probability": 0.81494140625}, {"start": 1669.54, "end": 1669.88, "word": " اللى", "probability": 0.5677490234375}, {"start": 1669.88, "end": 1670.12, "word": " ال", "probability": 0.458740234375}, {"start": 1670.12, "end": 1670.6, "word": " n", "probability": 0.76220703125}, {"start": 1670.6, "end": 1671.24, "word": " في", "probability": 0.439208984375}, {"start": 1671.24, "end": 1671.68, "word": " n", "probability": 0.87353515625}, {"start": 1671.68, "end": 1672.28, "word": " ناقص", "probability": 0.9920654296875}, {"start": 1672.28, "end": 1672.98, "word": " واحد", "probability": 0.989501953125}, {"start": 1672.98, "end": 1673.56, "word": " في", "probability": 0.951171875}, {"start": 1673.56, "end": 1673.86, "word": " n", "probability": 0.830078125}, {"start": 1673.86, "end": 1674.36, "word": " ناقص", "probability": 0.994873046875}, {"start": 1674.36, "end": 1674.9, "word": " اتنين", "probability": 0.987548828125}, {"start": 1674.9, "end": 1675.56, "word": " factorial", "probability": 0.7802734375}], "temperature": 1.0}, {"id": 72, "seek": 169986, "start": 1676.28, "end": 1699.86, "text": "مظبوط؟ هاي هذا بسلامته مع هذا، بيضل الباقي اللي عنده، هاي، صح؟ حد اللي هو يتساوي الآخر؟ طيب، كمان مثال، هاي أعطينا مثالين على تايلور، ناخد مثال على ماكلورين، بلاش يزعل يعني", "tokens": [2304, 19913, 3555, 2407, 9566, 22807, 8032, 47302, 23758, 4724, 3794, 37440, 47395, 20449, 23758, 12399, 4724, 1829, 11242, 1211, 29739, 995, 38436, 13672, 1829, 43242, 3224, 12399, 8032, 47302, 12399, 20328, 5016, 22807, 11331, 3215, 13672, 1829, 31439, 7251, 2655, 3794, 995, 45865, 6024, 95, 34740, 22807, 23032, 1829, 3555, 12399, 9122, 2304, 7649, 50113, 6027, 12399, 8032, 47302, 5551, 3615, 9566, 1829, 8315, 50113, 6027, 9957, 15844, 6055, 995, 26895, 13063, 12399, 8717, 47283, 3215, 50113, 6027, 15844, 3714, 995, 4117, 1211, 13063, 9957, 12399, 4724, 1211, 33599, 7251, 11622, 30241, 37495, 22653], "avg_logprob": -0.282226571192344, "compression_ratio": 1.7885714285714285, "no_speech_prob": 0.0, "words": [{"start": 1676.28, "end": 1677.5, "word": "مظبوط؟", "probability": 0.74169921875}, {"start": 1677.5, "end": 1677.82, "word": " هاي", "probability": 0.396240234375}, {"start": 1677.82, "end": 1678.2, "word": " هذا", "probability": 0.84765625}, {"start": 1678.2, "end": 1678.96, "word": " بسلامته", "probability": 0.89697265625}, {"start": 1678.96, "end": 1679.22, "word": " مع", "probability": 0.9794921875}, {"start": 1679.22, "end": 1680.06, "word": " هذا،", "probability": 0.6087646484375}, {"start": 1680.06, "end": 1680.64, "word": " بيضل", "probability": 0.699462890625}, {"start": 1680.64, "end": 1681.14, "word": " الباقي", "probability": 0.7939453125}, {"start": 1681.14, "end": 1681.42, "word": " اللي", "probability": 0.952392578125}, {"start": 1681.42, "end": 1682.42, "word": " عنده،", "probability": 0.4556477864583333}, {"start": 1682.42, "end": 1684.24, "word": " هاي،", "probability": 0.6221516927083334}, {"start": 1684.24, "end": 1685.1, "word": " صح؟", "probability": 0.9296875}, {"start": 1685.1, "end": 1686.54, "word": " حد", "probability": 0.92724609375}, {"start": 1686.54, "end": 1686.68, "word": " اللي", "probability": 0.640869140625}, {"start": 1686.68, "end": 1686.78, "word": " هو", "probability": 0.783203125}, {"start": 1686.78, "end": 1687.14, "word": " يتساوي", "probability": 0.9021484375}, {"start": 1687.14, "end": 1688.22, "word": " الآخر؟", "probability": 0.881591796875}, {"start": 1688.22, "end": 1689.68, "word": " طيب،", "probability": 0.8468017578125}, {"start": 1689.68, "end": 1690.16, "word": " كمان", "probability": 0.9931640625}, {"start": 1690.16, "end": 1691.66, "word": " مثال،", "probability": 0.8235677083333334}, {"start": 1691.66, "end": 1691.92, "word": " هاي", "probability": 0.826171875}, {"start": 1691.92, "end": 1692.7, "word": " أعطينا", "probability": 0.720654296875}, {"start": 1692.7, "end": 1693.3, "word": " مثالين", "probability": 0.8844401041666666}, {"start": 1693.3, "end": 1693.56, "word": " على", "probability": 0.9365234375}, {"start": 1693.56, "end": 1694.76, "word": " تايلور،", "probability": 0.85234375}, {"start": 1694.76, "end": 1695.3, "word": " ناخد", "probability": 0.9871419270833334}, {"start": 1695.3, "end": 1695.64, "word": " مثال", "probability": 0.98583984375}, {"start": 1695.64, "end": 1695.9, "word": " على", "probability": 0.52197265625}, {"start": 1695.9, "end": 1697.36, "word": " ماكلورين،", "probability": 0.5984933035714286}, {"start": 1697.36, "end": 1698.9, "word": " بلاش", "probability": 0.740478515625}, {"start": 1698.9, "end": 1699.4, "word": " يزعل", "probability": 0.9757486979166666}, {"start": 1699.4, "end": 1699.86, "word": " يعني", "probability": 0.91552734375}], "temperature": 1.0}, {"id": 73, "seek": 171402, "start": 1708.48, "end": 1714.02, "text": "مثال رقم تلاتة", "tokens": [2304, 12984, 6027, 12602, 4587, 2304, 6055, 1211, 9307, 3660], "avg_logprob": -0.3093039718541232, "compression_ratio": 0.7027027027027027, "no_speech_prob": 0.0, "words": [{"start": 1708.48, "end": 1709.88, "word": "مثال", "probability": 0.81298828125}, {"start": 1709.88, "end": 1710.42, "word": " رقم", "probability": 0.96728515625}, {"start": 1710.42, "end": 1714.02, "word": " تلاتة", "probability": 0.9300537109375}], "temperature": 1.0}, {"id": 74, "seek": 175878, "start": 1734.36, "end": 1758.78, "text": "the following functions نمرة a f of x تساوي صين ال x نمرة b f of x تساوي صين 3x نمرة c", "tokens": [3322, 3480, 6828, 8717, 2304, 25720, 257, 283, 295, 2031, 6055, 3794, 995, 45865, 20328, 9957, 2423, 2031, 8717, 2304, 25720, 272, 283, 295, 2031, 6055, 3794, 995, 45865, 20328, 9957, 805, 87, 8717, 2304, 25720, 269], "avg_logprob": -0.4052220473164006, "compression_ratio": 1.380952380952381, "no_speech_prob": 0.0, "words": [{"start": 1734.36, "end": 1734.68, "word": "the", "probability": 0.11407470703125}, {"start": 1734.68, "end": 1735.44, "word": " following", "probability": 0.88671875}, {"start": 1735.44, "end": 1738.52, "word": " functions", "probability": 0.77001953125}, {"start": 1738.52, "end": 1742.26, "word": " نمرة", "probability": 0.4217122395833333}, {"start": 1742.26, "end": 1742.78, "word": " a", "probability": 0.438720703125}, {"start": 1742.78, "end": 1744.48, "word": " f", "probability": 0.5419921875}, {"start": 1744.48, "end": 1744.86, "word": " of", "probability": 0.4140625}, {"start": 1744.86, "end": 1745.42, "word": " x", "probability": 0.93359375}, {"start": 1745.42, "end": 1746.66, "word": " تساوي", "probability": 0.65301513671875}, {"start": 1746.66, "end": 1747.26, "word": " صين", "probability": 0.609619140625}, {"start": 1747.26, "end": 1747.46, "word": " ال", "probability": 0.70166015625}, {"start": 1747.46, "end": 1747.96, "word": " x", "probability": 0.335205078125}, {"start": 1747.96, "end": 1749.68, "word": " نمرة", "probability": 0.9095052083333334}, {"start": 1749.68, "end": 1750.2, "word": " b", "probability": 0.86181640625}, {"start": 1750.2, "end": 1751.64, "word": " f", "probability": 0.890625}, {"start": 1751.64, "end": 1752.12, "word": " of", "probability": 0.97509765625}, {"start": 1752.12, "end": 1752.72, "word": " x", "probability": 0.990234375}, {"start": 1752.72, "end": 1754.22, "word": " تساوي", "probability": 0.80889892578125}, {"start": 1754.22, "end": 1755.24, "word": " صين", "probability": 0.935302734375}, {"start": 1755.24, "end": 1756.74, "word": " 3x", "probability": 0.51318359375}, {"start": 1756.74, "end": 1758.18, "word": " نمرة", "probability": 0.9303385416666666}, {"start": 1758.18, "end": 1758.78, "word": " c", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 75, "seek": 178963, "start": 1760.13, "end": 1789.63, "text": "F of X يساوي Cos X نمره دي F of X يساوي Cos تربيع X هذا مش سؤال، هذا أربع أسئلة يعني خلصنا النحيا دي خلاص؟ للحين؟", "tokens": [37, 295, 1783, 7251, 3794, 995, 45865, 15855, 1783, 8717, 29973, 3224, 11778, 1829, 479, 295, 1783, 7251, 3794, 995, 45865, 15855, 6055, 2288, 21292, 3615, 1783, 23758, 37893, 8608, 33604, 6027, 12399, 23758, 5551, 25513, 3615, 5551, 3794, 19986, 37977, 37495, 22653, 16490, 1211, 9381, 8315, 28239, 5016, 25528, 11778, 1829, 16490, 1211, 33546, 22807, 5296, 1211, 5016, 9957, 22807], "avg_logprob": -0.28881046945048916, "compression_ratio": 1.4375, "no_speech_prob": 0.0, "words": [{"start": 1760.13, "end": 1760.63, "word": "F", "probability": 0.227783203125}, {"start": 1760.63, "end": 1761.03, "word": " of", "probability": 0.376708984375}, {"start": 1761.03, "end": 1761.61, "word": " X", "probability": 0.96728515625}, {"start": 1761.61, "end": 1763.09, "word": " يساوي", "probability": 0.668701171875}, {"start": 1763.09, "end": 1763.59, "word": " Cos", "probability": 0.52001953125}, {"start": 1763.59, "end": 1764.61, "word": " X", "probability": 0.7919921875}, {"start": 1764.61, "end": 1766.07, "word": " نمره", "probability": 0.4722086588541667}, {"start": 1766.07, "end": 1766.35, "word": " دي", "probability": 0.5318603515625}, {"start": 1766.35, "end": 1767.33, "word": " F", "probability": 0.853515625}, {"start": 1767.33, "end": 1767.79, "word": " of", "probability": 0.89306640625}, {"start": 1767.79, "end": 1768.37, "word": " X", "probability": 0.99658203125}, {"start": 1768.37, "end": 1769.49, "word": " يساوي", "probability": 0.965576171875}, {"start": 1769.49, "end": 1770.11, "word": " Cos", "probability": 0.94189453125}, {"start": 1770.11, "end": 1771.05, "word": " تربيع", "probability": 0.7562255859375}, {"start": 1771.05, "end": 1771.49, "word": " X", "probability": 0.962890625}, {"start": 1771.49, "end": 1775.63, "word": " هذا", "probability": 0.4697265625}, {"start": 1775.63, "end": 1775.89, "word": " مش", "probability": 0.8701171875}, {"start": 1775.89, "end": 1776.43, "word": " سؤال،", "probability": 0.83892822265625}, {"start": 1776.43, "end": 1776.53, "word": " هذا", "probability": 0.81884765625}, {"start": 1776.53, "end": 1776.87, "word": " أربع", "probability": 0.85107421875}, {"start": 1776.87, "end": 1777.33, "word": " أسئلة", "probability": 0.9913330078125}, {"start": 1777.33, "end": 1781.05, "word": " يعني", "probability": 0.848388671875}, {"start": 1781.05, "end": 1786.41, "word": " خلصنا", "probability": 0.8802490234375}, {"start": 1786.41, "end": 1786.71, "word": " النحيا", "probability": 0.5103352864583334}, {"start": 1786.71, "end": 1787.01, "word": " دي", "probability": 0.93310546875}, {"start": 1787.01, "end": 1787.57, "word": " خلاص؟", "probability": 0.77362060546875}, {"start": 1787.57, "end": 1789.63, "word": " للحين؟", "probability": 0.8025390625}], "temperature": 1.0}, {"id": 76, "seek": 181794, "start": 1793.88, "end": 1817.94, "text": "طيب نرجع لسؤالنا و نقول هاتلي مكلون و سيريز لكل من الدوال التالية و لم يعطيني نقطة ماعطانيش نقطة احسب عندها اللي ماقلتوش اه يبقى a هنا ب zero تمام يبقى لما يعطيني نقطة معناته بده مفكوك تايلور", "tokens": [9566, 1829, 3555, 8717, 47341, 3615, 5296, 3794, 33604, 6027, 8315, 4032, 8717, 39648, 8032, 9307, 20292, 3714, 28820, 11536, 4032, 8608, 13546, 1829, 11622, 5296, 28820, 9154, 32748, 2407, 6027, 16712, 6027, 10632, 4032, 32767, 37495, 9566, 9957, 1829, 8717, 47432, 3660, 19446, 3615, 9566, 7649, 1829, 8592, 8717, 47432, 3660, 1975, 5016, 35457, 43242, 11296, 13672, 1829, 19446, 4587, 1211, 2655, 2407, 8592, 1975, 3224, 7251, 3555, 4587, 7578, 257, 34105, 4724, 4018, 46811, 10943, 7251, 3555, 4587, 7578, 5296, 15042, 37495, 9566, 9957, 1829, 8717, 47432, 3660, 20449, 8315, 47395, 47525, 3224, 3714, 5172, 4117, 2407, 4117, 6055, 995, 26895, 13063], "avg_logprob": -0.2656250022706531, "compression_ratio": 1.7708333333333333, "no_speech_prob": 0.0, "words": [{"start": 1793.88, "end": 1794.3, "word": "طيب", "probability": 0.646240234375}, {"start": 1794.3, "end": 1795.4, "word": " نرجع", "probability": 0.7574869791666666}, {"start": 1795.4, "end": 1796.0, "word": " لسؤالنا", "probability": 0.86240234375}, {"start": 1796.0, "end": 1796.16, "word": " و", "probability": 0.33740234375}, {"start": 1796.16, "end": 1796.34, "word": " نقول", "probability": 0.80908203125}, {"start": 1796.34, "end": 1796.96, "word": " هاتلي", "probability": 0.84033203125}, {"start": 1796.96, "end": 1797.56, "word": " مكلون", "probability": 0.5556233723958334}, {"start": 1797.56, "end": 1797.66, "word": " و", "probability": 0.51123046875}, {"start": 1797.66, "end": 1798.1, "word": " سيريز", "probability": 0.7608642578125}, {"start": 1798.1, "end": 1798.58, "word": " لكل", "probability": 0.92431640625}, {"start": 1798.58, "end": 1798.84, "word": " من", "probability": 0.8447265625}, {"start": 1798.84, "end": 1799.6, "word": " الدوال", "probability": 0.9248046875}, {"start": 1799.6, "end": 1800.7, "word": " التالية", "probability": 0.962890625}, {"start": 1800.7, "end": 1801.5, "word": " و", "probability": 0.85009765625}, {"start": 1801.5, "end": 1801.82, "word": " لم", "probability": 0.6337890625}, {"start": 1801.82, "end": 1802.68, "word": " يعطيني", "probability": 0.83056640625}, {"start": 1802.68, "end": 1803.76, "word": " نقطة", "probability": 0.9752604166666666}, {"start": 1803.76, "end": 1804.96, "word": " ماعطانيش", "probability": 0.7215169270833334}, {"start": 1804.96, "end": 1805.34, "word": " نقطة", "probability": 0.9874674479166666}, {"start": 1805.34, "end": 1805.74, "word": " احسب", "probability": 0.8313802083333334}, {"start": 1805.74, "end": 1806.44, "word": " عندها", "probability": 0.93310546875}, {"start": 1806.44, "end": 1807.94, "word": " اللي", "probability": 0.61865234375}, {"start": 1807.94, "end": 1808.72, "word": " ماقلتوش", "probability": 0.5213826497395834}, {"start": 1808.72, "end": 1810.16, "word": " اه", "probability": 0.628173828125}, {"start": 1810.16, "end": 1810.62, "word": " يبقى", "probability": 0.8494873046875}, {"start": 1810.62, "end": 1810.98, "word": " a", "probability": 0.51806640625}, {"start": 1810.98, "end": 1811.54, "word": " هنا", "probability": 0.984375}, {"start": 1811.54, "end": 1811.78, "word": " ب", "probability": 0.91357421875}, {"start": 1811.78, "end": 1812.34, "word": " zero", "probability": 0.60400390625}, {"start": 1812.34, "end": 1813.2, "word": " تمام", "probability": 0.948974609375}, {"start": 1813.2, "end": 1814.16, "word": " يبقى", "probability": 0.8758544921875}, {"start": 1814.16, "end": 1814.42, "word": " لما", "probability": 0.918212890625}, {"start": 1814.42, "end": 1815.1, "word": " يعطيني", "probability": 0.90869140625}, {"start": 1815.1, "end": 1815.48, "word": " نقطة", "probability": 0.9835611979166666}, {"start": 1815.48, "end": 1816.0, "word": " معناته", "probability": 0.9588216145833334}, {"start": 1816.0, "end": 1816.38, "word": " بده", "probability": 0.697265625}, {"start": 1816.38, "end": 1817.18, "word": " مفكوك", "probability": 0.97861328125}, {"start": 1817.18, "end": 1817.94, "word": " تايلور", "probability": 0.7506103515625}], "temperature": 1.0}, {"id": 77, "seek": 184144, "start": 1818.2, "end": 1841.44, "text": "ولما لم يعطينا نقطة معناها، سوف نحصل على مفكوك مكلورين، فهو قال و الله لم يعطينا مفكوك مكلورين، فهو لم يعطينا مفكوك مكلورين", "tokens": [12610, 15042, 32767, 37495, 9566, 1829, 8315, 8717, 47432, 3660, 20449, 8315, 11296, 12399, 8608, 38688, 8717, 5016, 36520, 15844, 3714, 5172, 4117, 2407, 4117, 3714, 4117, 1211, 13063, 9957, 12399, 6156, 3224, 2407, 50239, 4032, 21984, 32767, 37495, 9566, 1829, 8315, 3714, 5172, 4117, 2407, 4117, 3714, 4117, 1211, 13063, 9957, 12399, 6156, 3224, 2407, 32767, 37495, 9566, 1829, 8315, 3714, 5172, 4117, 2407, 4117, 3714, 4117, 1211, 13063, 9957], "avg_logprob": -0.5421006828546524, "compression_ratio": 2.1538461538461537, "no_speech_prob": 0.0, "words": [{"start": 1818.2, "end": 1818.72, "word": "ولما", "probability": 0.36004638671875}, {"start": 1818.72, "end": 1818.92, "word": " لم", "probability": 0.278076171875}, {"start": 1818.92, "end": 1819.38, "word": " يعطينا", "probability": 0.56695556640625}, {"start": 1819.38, "end": 1819.8, "word": " نقطة", "probability": 0.8102213541666666}, {"start": 1819.8, "end": 1820.42, "word": " معناها،", "probability": 0.4862060546875}, {"start": 1820.42, "end": 1820.42, "word": " سوف", "probability": 0.249267578125}, {"start": 1820.42, "end": 1820.48, "word": " نحصل", "probability": 0.515869140625}, {"start": 1820.48, "end": 1820.48, "word": " على", "probability": 0.74267578125}, {"start": 1820.48, "end": 1821.02, "word": " مفكوك", "probability": 0.93779296875}, {"start": 1821.02, "end": 1821.72, "word": " مكلورين،", "probability": 0.6164347330729166}, {"start": 1821.72, "end": 1821.94, "word": " فهو", "probability": 0.4422607421875}, {"start": 1821.94, "end": 1822.3, "word": " قال", "probability": 0.49169921875}, {"start": 1822.3, "end": 1822.48, "word": " و", "probability": 0.10040283203125}, {"start": 1822.48, "end": 1822.64, "word": " الله", "probability": 0.59619140625}, {"start": 1822.64, "end": 1822.76, "word": " لم", "probability": 0.3466796875}, {"start": 1822.76, "end": 1823.28, "word": " يعطينا", "probability": 0.733642578125}, {"start": 1823.28, "end": 1823.28, "word": " مفكوك", "probability": 0.83896484375}, {"start": 1823.28, "end": 1823.44, "word": " مكلورين،", "probability": 0.7715657552083334}, {"start": 1823.44, "end": 1829.04, "word": " فهو", "probability": 0.5955810546875}, {"start": 1829.04, "end": 1834.72, "word": " لم", "probability": 0.2337646484375}, {"start": 1834.72, "end": 1835.9, "word": " يعطينا", "probability": 0.9541015625}, {"start": 1835.9, "end": 1840.88, "word": " مفكوك", "probability": 0.98349609375}, {"start": 1840.88, "end": 1841.44, "word": " مكلورين", "probability": 0.97109375}], "temperature": 1.0}, {"id": 78, "seek": 185028, "start": 1842.04, "end": 1850.28, "text": "يعني كانوش بيقولي وفاقة أخرى قتلي ما أكله نصيره، تمام؟ يبقى انقلت Taylor Swift عندك 60 يقصد مياه", "tokens": [40228, 22653, 25961, 2407, 8592, 4724, 1829, 39648, 1829, 4032, 5172, 995, 28671, 5551, 34740, 7578, 12174, 2655, 20292, 19446, 5551, 28820, 3224, 8717, 9381, 13546, 3224, 12399, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 16472, 4587, 1211, 2655, 12060, 25539, 43242, 4117, 4060, 7251, 4587, 9381, 3215, 3714, 25528, 3224], "avg_logprob": -0.48227164149284363, "compression_ratio": 1.1824817518248176, "no_speech_prob": 0.0, "words": [{"start": 1842.04, "end": 1842.34, "word": "يعني", "probability": 0.796875}, {"start": 1842.34, "end": 1842.78, "word": " كانوش", "probability": 0.8053385416666666}, {"start": 1842.78, "end": 1843.1, "word": " بيقولي", "probability": 0.76690673828125}, {"start": 1843.1, "end": 1843.46, "word": " وفاقة", "probability": 0.77880859375}, {"start": 1843.46, "end": 1843.98, "word": " أخرى", "probability": 0.7321370442708334}, {"start": 1843.98, "end": 1844.46, "word": " قتلي", "probability": 0.4527994791666667}, {"start": 1844.46, "end": 1844.58, "word": " ما", "probability": 0.52294921875}, {"start": 1844.58, "end": 1844.94, "word": " أكله", "probability": 0.7828776041666666}, {"start": 1844.94, "end": 1845.82, "word": " نصيره،", "probability": 0.67685546875}, {"start": 1845.82, "end": 1846.66, "word": " تمام؟", "probability": 0.7251790364583334}, {"start": 1846.66, "end": 1846.88, "word": " يبقى", "probability": 0.84521484375}, {"start": 1846.88, "end": 1847.36, "word": " انقلت", "probability": 0.49322509765625}, {"start": 1847.36, "end": 1847.66, "word": " Taylor", "probability": 0.2315673828125}, {"start": 1847.66, "end": 1847.98, "word": " Swift", "probability": 0.1839599609375}, {"start": 1847.98, "end": 1848.42, "word": " عندك", "probability": 0.93505859375}, {"start": 1848.42, "end": 1848.82, "word": " 60", "probability": 0.2042236328125}, {"start": 1848.82, "end": 1849.96, "word": " يقصد", "probability": 0.7864990234375}, {"start": 1849.96, "end": 1850.28, "word": " مياه", "probability": 0.5857747395833334}], "temperature": 1.0}, {"id": 79, "seek": 187651, "start": 1850.61, "end": 1876.51, "text": "ما خلّى ذلك يبقى ان اعطاني رقم غير الصفر معناته تايلور سيريز ان طلب مكلونه بيقولليش هي نقطة يبقى ان افهمها عند ا تساوي زيرو بدنا نيجي للنقطة اللى عندنا هذا وبدنا نبدأ نحسبها زي ما حسبنا في المثالين السابقين فبجي بقوله ال F of X يساوي صين ال X", "tokens": [15042, 16490, 1211, 11703, 7578, 29910, 23275, 7251, 3555, 4587, 7578, 16472, 1975, 3615, 9566, 7649, 1829, 12602, 4587, 2304, 32771, 13546, 31767, 5172, 2288, 20449, 8315, 47395, 6055, 995, 26895, 13063, 8608, 13546, 1829, 11622, 16472, 23032, 46152, 3714, 4117, 1211, 11536, 3224, 4724, 1829, 39648, 20292, 8592, 39896, 8717, 47432, 3660, 7251, 3555, 4587, 7578, 16472, 1975, 5172, 16095, 11296, 43242, 1975, 6055, 3794, 995, 45865, 30767, 13546, 2407, 47525, 8315, 8717, 1829, 7435, 1829, 24976, 1863, 47432, 3660, 13672, 7578, 43242, 8315, 23758, 4032, 44510, 8315, 8717, 44510, 10721, 8717, 5016, 35457, 11296, 30767, 1829, 19446, 11331, 35457, 8315, 8978, 9673, 12984, 6027, 9957, 21136, 16758, 4587, 9957, 6156, 3555, 7435, 1829, 4724, 39648, 3224, 2423, 479, 295, 1783, 7251, 3794, 995, 45865, 20328, 9957, 2423, 1783], "avg_logprob": -0.3303912099991136, "compression_ratio": 1.8777292576419213, "no_speech_prob": 0.0, "words": [{"start": 1850.61, "end": 1851.89, "word": "ما", "probability": 0.0970458984375}, {"start": 1851.89, "end": 1852.37, "word": " خلّى", "probability": 0.6033477783203125}, {"start": 1852.37, "end": 1852.83, "word": " ذلك", "probability": 0.949462890625}, {"start": 1852.83, "end": 1853.57, "word": " يبقى", "probability": 0.7659912109375}, {"start": 1853.57, "end": 1853.73, "word": " ان", "probability": 0.406005859375}, {"start": 1853.73, "end": 1854.13, "word": " اعطاني", "probability": 0.656103515625}, {"start": 1854.13, "end": 1854.53, "word": " رقم", "probability": 0.9892578125}, {"start": 1854.53, "end": 1854.91, "word": " غير", "probability": 0.989990234375}, {"start": 1854.91, "end": 1855.41, "word": " الصفر", "probability": 0.93115234375}, {"start": 1855.41, "end": 1855.87, "word": " معناته", "probability": 0.8009440104166666}, {"start": 1855.87, "end": 1856.95, "word": " تايلور", "probability": 0.59161376953125}, {"start": 1856.95, "end": 1857.61, "word": " سيريز", "probability": 0.7884521484375}, {"start": 1857.61, "end": 1858.21, "word": " ان", "probability": 0.623046875}, {"start": 1858.21, "end": 1858.57, "word": " طلب", "probability": 0.89501953125}, {"start": 1858.57, "end": 1859.09, "word": " مكلونه", "probability": 0.54951171875}, {"start": 1859.09, "end": 1859.59, "word": " بيقولليش", "probability": 0.693701171875}, {"start": 1859.59, "end": 1859.71, "word": " هي", "probability": 0.2744140625}, {"start": 1859.71, "end": 1860.05, "word": " نقطة", "probability": 0.9430338541666666}, {"start": 1860.05, "end": 1860.25, "word": " يبقى", "probability": 0.9188232421875}, {"start": 1860.25, "end": 1860.37, "word": " ان", "probability": 0.426025390625}, {"start": 1860.37, "end": 1861.03, "word": " افهمها", "probability": 0.89111328125}, {"start": 1861.03, "end": 1861.31, "word": " عند", "probability": 0.9658203125}, {"start": 1861.31, "end": 1861.63, "word": " ا", "probability": 0.492431640625}, {"start": 1861.63, "end": 1862.69, "word": " تساوي", "probability": 0.82537841796875}, {"start": 1862.69, "end": 1863.49, "word": " زيرو", "probability": 0.608642578125}, {"start": 1863.49, "end": 1864.25, "word": " بدنا", "probability": 0.58740234375}, {"start": 1864.25, "end": 1864.51, "word": " نيجي", "probability": 0.9053955078125}, {"start": 1864.51, "end": 1865.11, "word": " للنقطة", "probability": 0.8907470703125}, {"start": 1865.11, "end": 1865.25, "word": " اللى", "probability": 0.796875}, {"start": 1865.25, "end": 1865.69, "word": " عندنا", "probability": 0.990478515625}, {"start": 1865.69, "end": 1865.89, "word": " هذا", "probability": 0.1392822265625}, {"start": 1865.89, "end": 1866.65, "word": " وبدنا", "probability": 0.8229166666666666}, {"start": 1866.65, "end": 1866.91, "word": " نبدأ", "probability": 0.9295247395833334}, {"start": 1866.91, "end": 1867.43, "word": " نحسبها", "probability": 0.79248046875}, {"start": 1867.43, "end": 1867.91, "word": " زي", "probability": 0.724853515625}, {"start": 1867.91, "end": 1868.03, "word": " ما", "probability": 0.93359375}, {"start": 1868.03, "end": 1868.55, "word": " حسبنا", "probability": 0.9671223958333334}, {"start": 1868.55, "end": 1868.69, "word": " في", "probability": 0.845703125}, {"start": 1868.69, "end": 1869.57, "word": " المثالين", "probability": 0.98828125}, {"start": 1869.57, "end": 1870.97, "word": " السابقين", "probability": 0.9951171875}, {"start": 1870.97, "end": 1872.01, "word": " فبجي", "probability": 0.709320068359375}, {"start": 1872.01, "end": 1872.53, "word": " بقوله", "probability": 0.73779296875}, {"start": 1872.53, "end": 1872.75, "word": " ال", "probability": 0.50927734375}, {"start": 1872.75, "end": 1873.09, "word": " F", "probability": 0.59521484375}, {"start": 1873.09, "end": 1873.55, "word": " of", "probability": 0.900390625}, {"start": 1873.55, "end": 1874.05, "word": " X", "probability": 0.943359375}, {"start": 1874.05, "end": 1874.99, "word": " يساوي", "probability": 0.9417724609375}, {"start": 1874.99, "end": 1875.81, "word": " صين", "probability": 0.635986328125}, {"start": 1875.81, "end": 1876.03, "word": " ال", "probability": 0.556640625}, {"start": 1876.03, "end": 1876.51, "word": " X", "probability": 0.94140625}], "temperature": 1.0}, {"id": 80, "seek": 188897, "start": 1877.05, "end": 1888.97, "text": "يبقى ال f of zero بده يسوي قداش يبقى zero بدنا ال f prime of x ب cosine ال x", "tokens": [1829, 3555, 4587, 7578, 2423, 283, 295, 4018, 47525, 3224, 7251, 3794, 45865, 12174, 3215, 33599, 7251, 3555, 4587, 7578, 4018, 47525, 8315, 2423, 283, 5835, 295, 2031, 4724, 23565, 2423, 2031], "avg_logprob": -0.4562026515151515, "compression_ratio": 1.2045454545454546, "no_speech_prob": 0.0, "words": [{"start": 1877.05, "end": 1877.71, "word": "يبقى", "probability": 0.79852294921875}, {"start": 1877.71, "end": 1877.85, "word": " ال", "probability": 0.42529296875}, {"start": 1877.85, "end": 1878.29, "word": " f", "probability": 0.2724609375}, {"start": 1878.29, "end": 1878.75, "word": " of", "probability": 0.54638671875}, {"start": 1878.75, "end": 1879.29, "word": " zero", "probability": 0.51953125}, {"start": 1879.29, "end": 1879.75, "word": " بده", "probability": 0.32720947265625}, {"start": 1879.75, "end": 1880.11, "word": " يسوي", "probability": 0.8251953125}, {"start": 1880.11, "end": 1881.19, "word": " قداش", "probability": 0.75830078125}, {"start": 1881.19, "end": 1883.01, "word": " يبقى", "probability": 0.802978515625}, {"start": 1883.01, "end": 1883.37, "word": " zero", "probability": 0.65869140625}, {"start": 1883.37, "end": 1884.31, "word": " بدنا", "probability": 0.84619140625}, {"start": 1884.31, "end": 1884.51, "word": " ال", "probability": 0.884765625}, {"start": 1884.51, "end": 1884.91, "word": " f", "probability": 0.82275390625}, {"start": 1884.91, "end": 1885.95, "word": " prime", "probability": 0.79443359375}, {"start": 1885.95, "end": 1886.41, "word": " of", "probability": 0.97021484375}, {"start": 1886.41, "end": 1886.93, "word": " x", "probability": 0.912109375}, {"start": 1886.93, "end": 1887.41, "word": " ب", "probability": 0.10308837890625}, {"start": 1887.41, "end": 1888.25, "word": " cosine", "probability": 0.587890625}, {"start": 1888.25, "end": 1888.65, "word": " ال", "probability": 0.472900390625}, {"start": 1888.65, "end": 1888.97, "word": " x", "probability": 0.8466796875}], "temperature": 1.0}, {"id": 81, "seek": 190996, "start": 1889.44, "end": 1909.96, "text": "الـ f prime of 0 cos 0 اللي هو بيبقى داشر بواحد بدنا ال f double prime of x يبقى سالب sin x ال f double prime عند 0 سالب sin 0 اللي هو بيبقى داشر 0", "tokens": [6027, 39184, 283, 5835, 295, 1958, 3792, 1958, 13672, 1829, 31439, 4724, 1829, 3555, 4587, 7578, 11778, 33599, 2288, 4724, 14407, 24401, 47525, 8315, 2423, 283, 3834, 5835, 295, 2031, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 3343, 2031, 2423, 283, 3834, 5835, 43242, 1958, 8608, 6027, 3555, 3343, 1958, 13672, 1829, 31439, 4724, 1829, 3555, 4587, 7578, 11778, 33599, 2288, 1958], "avg_logprob": -0.3015873072639344, "compression_ratio": 1.6774193548387097, "no_speech_prob": 0.0, "words": [{"start": 1889.44, "end": 1889.92, "word": "الـ", "probability": 0.3765869140625}, {"start": 1889.92, "end": 1890.24, "word": " f", "probability": 0.2454833984375}, {"start": 1890.24, "end": 1890.94, "word": " prime", "probability": 0.59814453125}, {"start": 1890.94, "end": 1891.34, "word": " of", "probability": 0.91162109375}, {"start": 1891.34, "end": 1891.8, "word": " 0", "probability": 0.5595703125}, {"start": 1891.8, "end": 1892.38, "word": " cos", "probability": 0.404052734375}, {"start": 1892.38, "end": 1893.2, "word": " 0", "probability": 0.75537109375}, {"start": 1893.2, "end": 1893.36, "word": " اللي", "probability": 0.54718017578125}, {"start": 1893.36, "end": 1893.54, "word": " هو", "probability": 0.947265625}, {"start": 1893.54, "end": 1893.7, "word": " بيبقى", "probability": 0.727783203125}, {"start": 1893.7, "end": 1894.34, "word": " داشر", "probability": 0.62890625}, {"start": 1894.34, "end": 1895.48, "word": " بواحد", "probability": 0.9352213541666666}, {"start": 1895.48, "end": 1896.36, "word": " بدنا", "probability": 0.5806884765625}, {"start": 1896.36, "end": 1896.58, "word": " ال", "probability": 0.9130859375}, {"start": 1896.58, "end": 1896.96, "word": " f", "probability": 0.61083984375}, {"start": 1896.96, "end": 1897.4, "word": " double", "probability": 0.5927734375}, {"start": 1897.4, "end": 1898.18, "word": " prime", "probability": 0.89892578125}, {"start": 1898.18, "end": 1898.68, "word": " of", "probability": 0.9755859375}, {"start": 1898.68, "end": 1899.06, "word": " x", "probability": 0.9404296875}, {"start": 1899.06, "end": 1900.36, "word": " يبقى", "probability": 0.97412109375}, {"start": 1900.36, "end": 1901.12, "word": " سالب", "probability": 0.8924153645833334}, {"start": 1901.12, "end": 1901.66, "word": " sin", "probability": 0.40380859375}, {"start": 1901.66, "end": 1902.32, "word": " x", "probability": 0.33935546875}, {"start": 1902.32, "end": 1903.12, "word": " ال", "probability": 0.66357421875}, {"start": 1903.12, "end": 1903.64, "word": " f", "probability": 0.7734375}, {"start": 1903.64, "end": 1904.26, "word": " double", "probability": 0.88623046875}, {"start": 1904.26, "end": 1904.88, "word": " prime", "probability": 0.93115234375}, {"start": 1904.88, "end": 1905.3, "word": " عند", "probability": 0.9599609375}, {"start": 1905.3, "end": 1905.96, "word": " 0", "probability": 0.6611328125}, {"start": 1905.96, "end": 1907.1, "word": " سالب", "probability": 0.9461263020833334}, {"start": 1907.1, "end": 1907.66, "word": " sin", "probability": 0.95849609375}, {"start": 1907.66, "end": 1908.16, "word": " 0", "probability": 0.923828125}, {"start": 1908.16, "end": 1908.34, "word": " اللي", "probability": 0.987548828125}, {"start": 1908.34, "end": 1908.48, "word": " هو", "probability": 0.99169921875}, {"start": 1908.48, "end": 1908.64, "word": " بيبقى", "probability": 0.94228515625}, {"start": 1908.64, "end": 1909.48, "word": " داشر", "probability": 0.9527994791666666}, {"start": 1909.48, "end": 1909.96, "word": " 0", "probability": 0.475341796875}], "temperature": 1.0}, {"id": 82, "seek": 193997, "start": 1910.65, "end": 1939.97, "text": "المشتقة التالتة عند ال X بسلب Cos X المشتقة التالتة عند ال Zero بسلب Cos Zero اللي هو بقداش؟ بسلب واحد المشتقة الرابعة عند ال X تفضل Cos بسلب Sin مع سلب بيصير موجة بSin المشتقة الرابعة", "tokens": [45340, 8592, 2655, 28671, 16712, 6027, 2655, 3660, 43242, 2423, 1783, 4724, 3794, 46152, 15855, 1783, 9673, 8592, 2655, 28671, 16712, 6027, 2655, 3660, 43242, 2423, 17182, 4724, 3794, 46152, 15855, 17182, 13672, 1829, 31439, 4724, 28543, 33599, 22807, 4724, 3794, 46152, 36764, 24401, 9673, 8592, 2655, 28671, 34892, 16758, 27884, 43242, 2423, 1783, 6055, 5172, 11242, 1211, 15855, 4724, 3794, 46152, 11187, 20449, 8608, 46152, 4724, 1829, 9381, 13546, 3714, 29245, 3660, 4724, 50, 259, 9673, 8592, 2655, 28671, 34892, 16758, 27884], "avg_logprob": -0.17912946002823965, "compression_ratio": 2.0675675675675675, "no_speech_prob": 0.0, "words": [{"start": 1910.65, "end": 1911.93, "word": "المشتقة", "probability": 0.8892822265625}, {"start": 1911.93, "end": 1913.25, "word": " التالتة", "probability": 0.94677734375}, {"start": 1913.25, "end": 1913.77, "word": " عند", "probability": 0.9609375}, {"start": 1913.77, "end": 1914.07, "word": " ال", "probability": 0.74365234375}, {"start": 1914.07, "end": 1914.43, "word": " X", "probability": 0.5263671875}, {"start": 1914.43, "end": 1915.83, "word": " بسلب", "probability": 0.5986328125}, {"start": 1915.83, "end": 1916.39, "word": " Cos", "probability": 0.1810302734375}, {"start": 1916.39, "end": 1917.67, "word": " X", "probability": 0.78369140625}, {"start": 1917.67, "end": 1919.37, "word": " المشتقة", "probability": 0.9832763671875}, {"start": 1919.37, "end": 1920.59, "word": " التالتة", "probability": 0.984130859375}, {"start": 1920.59, "end": 1921.45, "word": " عند", "probability": 0.98291015625}, {"start": 1921.45, "end": 1921.77, "word": " ال", "probability": 0.5927734375}, {"start": 1921.77, "end": 1922.15, "word": " Zero", "probability": 0.70361328125}, {"start": 1922.15, "end": 1923.35, "word": " بسلب", "probability": 0.9920247395833334}, {"start": 1923.35, "end": 1924.09, "word": " Cos", "probability": 0.81005859375}, {"start": 1924.09, "end": 1924.55, "word": " Zero", "probability": 0.79443359375}, {"start": 1924.55, "end": 1924.71, "word": " اللي", "probability": 0.625}, {"start": 1924.71, "end": 1924.87, "word": " هو", "probability": 0.9814453125}, {"start": 1924.87, "end": 1925.69, "word": " بقداش؟", "probability": 0.72113037109375}, {"start": 1925.69, "end": 1926.53, "word": " بسلب", "probability": 0.9754231770833334}, {"start": 1926.53, "end": 1927.05, "word": " واحد", "probability": 0.90478515625}, {"start": 1927.05, "end": 1928.51, "word": " المشتقة", "probability": 0.9708251953125}, {"start": 1928.51, "end": 1929.41, "word": " الرابعة", "probability": 0.96240234375}, {"start": 1929.41, "end": 1930.29, "word": " عند", "probability": 0.98193359375}, {"start": 1930.29, "end": 1930.67, "word": " ال", "probability": 0.75634765625}, {"start": 1930.67, "end": 1931.09, "word": " X", "probability": 0.994140625}, {"start": 1931.09, "end": 1931.87, "word": " تفضل", "probability": 0.884033203125}, {"start": 1931.87, "end": 1932.53, "word": " Cos", "probability": 0.90576171875}, {"start": 1932.53, "end": 1934.23, "word": " بسلب", "probability": 0.9767252604166666}, {"start": 1934.23, "end": 1934.59, "word": " Sin", "probability": 0.62353515625}, {"start": 1934.59, "end": 1934.85, "word": " مع", "probability": 0.8984375}, {"start": 1934.85, "end": 1935.35, "word": " سلب", "probability": 0.6951904296875}, {"start": 1935.35, "end": 1935.75, "word": " بيصير", "probability": 0.78662109375}, {"start": 1935.75, "end": 1936.23, "word": " موجة", "probability": 0.9423828125}, {"start": 1936.23, "end": 1936.89, "word": " بSin", "probability": 0.7071533203125}, {"start": 1936.89, "end": 1938.49, "word": " المشتقة", "probability": 0.98388671875}, {"start": 1938.49, "end": 1939.97, "word": " الرابعة", "probability": 0.9820963541666666}], "temperature": 1.0}, {"id": 83, "seek": 194866, "start": 1940.66, "end": 1948.66, "text": "عند الـ zero مستقر رابع عند ال zero تساوي ال sign ال zero اللي هو ب zero", "tokens": [3615, 41260, 2423, 39184, 4018, 3714, 14851, 4587, 2288, 12602, 16758, 3615, 43242, 2423, 4018, 6055, 3794, 995, 45865, 2423, 1465, 2423, 4018, 13672, 1829, 31439, 4724, 4018], "avg_logprob": -0.47871768063512343, "compression_ratio": 1.2705882352941176, "no_speech_prob": 0.0, "words": [{"start": 1940.66, "end": 1941.18, "word": "عند", "probability": 0.515625}, {"start": 1941.18, "end": 1941.54, "word": " الـ", "probability": 0.6591796875}, {"start": 1941.54, "end": 1941.96, "word": " zero", "probability": 0.52099609375}, {"start": 1941.96, "end": 1944.82, "word": " مستقر", "probability": 0.73175048828125}, {"start": 1944.82, "end": 1945.08, "word": " رابع", "probability": 0.6803792317708334}, {"start": 1945.08, "end": 1945.3, "word": " عند", "probability": 0.8681640625}, {"start": 1945.3, "end": 1945.46, "word": " ال", "probability": 0.95458984375}, {"start": 1945.46, "end": 1945.68, "word": " zero", "probability": 0.4736328125}, {"start": 1945.68, "end": 1946.52, "word": " تساوي", "probability": 0.9476318359375}, {"start": 1946.52, "end": 1946.72, "word": " ال", "probability": 0.416015625}, {"start": 1946.72, "end": 1947.16, "word": " sign", "probability": 0.59423828125}, {"start": 1947.16, "end": 1947.42, "word": " ال", "probability": 0.413330078125}, {"start": 1947.42, "end": 1947.78, "word": " zero", "probability": 0.83203125}, {"start": 1947.78, "end": 1947.98, "word": " اللي", "probability": 0.791015625}, {"start": 1947.98, "end": 1948.18, "word": " هو", "probability": 0.40234375}, {"start": 1948.18, "end": 1948.28, "word": " ب", "probability": 0.294921875}, {"start": 1948.28, "end": 1948.66, "word": " zero", "probability": 0.345947265625}], "temperature": 1.0}, {"id": 84, "seek": 197010, "start": 1949.18, "end": 1970.1, "text": "المشتقة الخامسة عند ال X اللي هو ب cosine ال X المشتقة رقم خمسة عند ال zero تساوي cosine صفر اللي هو بقداش بواحد طيب تعالى نوقف وقف التأمل في النتائج التي توصلنا اليها", "tokens": [45340, 8592, 2655, 28671, 33962, 10943, 3794, 3660, 43242, 2423, 1783, 13672, 1829, 31439, 4724, 23565, 2423, 1783, 9673, 8592, 2655, 28671, 12602, 4587, 2304, 16490, 2304, 3794, 3660, 43242, 2423, 4018, 6055, 3794, 995, 45865, 23565, 20328, 5172, 2288, 13672, 1829, 31439, 4724, 28543, 33599, 4724, 14407, 24401, 23032, 1829, 3555, 37279, 6027, 7578, 8717, 30543, 5172, 4032, 4587, 5172, 16712, 10721, 42213, 8978, 28239, 2655, 16373, 7435, 38392, 33427, 36520, 8315, 45595, 11296], "avg_logprob": -0.20662005990743637, "compression_ratio": 1.715151515151515, "no_speech_prob": 0.0, "words": [{"start": 1949.18, "end": 1950.14, "word": "المشتقة", "probability": 0.71942138671875}, {"start": 1950.14, "end": 1951.24, "word": " الخامسة", "probability": 0.960205078125}, {"start": 1951.24, "end": 1952.16, "word": " عند", "probability": 0.95556640625}, {"start": 1952.16, "end": 1952.48, "word": " ال", "probability": 0.7919921875}, {"start": 1952.48, "end": 1952.9, "word": " X", "probability": 0.65673828125}, {"start": 1952.9, "end": 1953.54, "word": " اللي", "probability": 0.794677734375}, {"start": 1953.54, "end": 1953.68, "word": " هو", "probability": 0.9765625}, {"start": 1953.68, "end": 1953.82, "word": " ب", "probability": 0.380615234375}, {"start": 1953.82, "end": 1954.32, "word": " cosine", "probability": 0.22265625}, {"start": 1954.32, "end": 1955.52, "word": " ال", "probability": 0.39404296875}, {"start": 1955.52, "end": 1956.0, "word": " X", "probability": 0.9853515625}, {"start": 1956.0, "end": 1957.2, "word": " المشتقة", "probability": 0.955078125}, {"start": 1957.2, "end": 1957.78, "word": " رقم", "probability": 0.9798177083333334}, {"start": 1957.78, "end": 1958.62, "word": " خمسة", "probability": 0.9227294921875}, {"start": 1958.62, "end": 1958.96, "word": " عند", "probability": 0.98681640625}, {"start": 1958.96, "end": 1959.24, "word": " ال", "probability": 0.90673828125}, {"start": 1959.24, "end": 1959.64, "word": " zero", "probability": 0.4091796875}, {"start": 1959.64, "end": 1960.8, "word": " تساوي", "probability": 0.94775390625}, {"start": 1960.8, "end": 1961.34, "word": " cosine", "probability": 0.294921875}, {"start": 1961.34, "end": 1962.08, "word": " صفر", "probability": 0.9479166666666666}, {"start": 1962.08, "end": 1962.22, "word": " اللي", "probability": 0.974365234375}, {"start": 1962.22, "end": 1962.32, "word": " هو", "probability": 0.9892578125}, {"start": 1962.32, "end": 1963.04, "word": " بقداش", "probability": 0.74267578125}, {"start": 1963.04, "end": 1963.76, "word": " بواحد", "probability": 0.7355143229166666}, {"start": 1963.76, "end": 1964.54, "word": " طيب", "probability": 0.7864583333333334}, {"start": 1964.54, "end": 1964.96, "word": " تعالى", "probability": 0.8255208333333334}, {"start": 1964.96, "end": 1965.38, "word": " نوقف", "probability": 0.9718424479166666}, {"start": 1965.38, "end": 1965.8, "word": " وقف", "probability": 0.9510091145833334}, {"start": 1965.8, "end": 1966.56, "word": " التأمل", "probability": 0.9757486979166666}, {"start": 1966.56, "end": 1966.74, "word": " في", "probability": 0.80859375}, {"start": 1966.74, "end": 1967.46, "word": " النتائج", "probability": 0.8363037109375}, {"start": 1967.46, "end": 1967.84, "word": " التي", "probability": 0.63818359375}, {"start": 1967.84, "end": 1969.26, "word": " توصلنا", "probability": 0.9490559895833334}, {"start": 1969.26, "end": 1970.1, "word": " اليها", "probability": 0.767578125}], "temperature": 1.0}, {"id": 85, "seek": 200074, "start": 1972.3, "end": 2000.74, "text": "هدول أربعة Zero واحد Zero سالب واحد بعدين تبدأ Zero واحد Zero سالب واحد كل أربع مرات بتتكرر دورة تبعتنا من جديد يبقى وليش اقعد اتكرر مكافئك ومنها بدي أعرف ما هو شكل الحد نوني فباجي بقول لو جيب ضليت ماشي لغاية تفاضل N of X", "tokens": [3224, 3215, 12610, 5551, 25513, 27884, 17182, 36764, 24401, 17182, 8608, 6027, 3555, 36764, 24401, 39182, 9957, 6055, 44510, 10721, 17182, 36764, 24401, 17182, 8608, 6027, 3555, 36764, 24401, 28242, 5551, 25513, 3615, 3714, 2288, 9307, 39894, 2655, 37983, 2288, 11778, 13063, 3660, 6055, 3555, 34268, 8315, 9154, 10874, 16254, 3215, 7251, 3555, 4587, 7578, 4032, 20292, 8592, 1975, 4587, 22488, 1975, 2655, 37983, 2288, 3714, 4117, 31845, 19986, 4117, 4032, 27842, 11296, 4724, 16254, 5551, 3615, 28480, 19446, 31439, 13412, 28820, 21542, 3215, 8717, 11536, 1829, 6156, 3555, 26108, 1829, 4724, 39648, 45164, 10874, 1829, 3555, 48812, 20292, 2655, 3714, 33599, 1829, 5296, 17082, 995, 10632, 6055, 5172, 46958, 1211, 426, 295, 1783], "avg_logprob": -0.254483699798584, "compression_ratio": 1.8125, "no_speech_prob": 0.0, "words": [{"start": 1972.3, "end": 1972.78, "word": "هدول", "probability": 0.4332275390625}, {"start": 1972.78, "end": 1973.38, "word": " أربعة", "probability": 0.729736328125}, {"start": 1973.38, "end": 1974.16, "word": " Zero", "probability": 0.3486328125}, {"start": 1974.16, "end": 1975.02, "word": " واحد", "probability": 0.90673828125}, {"start": 1975.02, "end": 1975.56, "word": " Zero", "probability": 0.8193359375}, {"start": 1975.56, "end": 1976.3, "word": " سالب", "probability": 0.85546875}, {"start": 1976.3, "end": 1976.62, "word": " واحد", "probability": 0.98291015625}, {"start": 1976.62, "end": 1977.32, "word": " بعدين", "probability": 0.5504150390625}, {"start": 1977.32, "end": 1977.78, "word": " تبدأ", "probability": 0.9176432291666666}, {"start": 1977.78, "end": 1978.36, "word": " Zero", "probability": 0.791015625}, {"start": 1978.36, "end": 1979.18, "word": " واحد", "probability": 0.98388671875}, {"start": 1979.18, "end": 1979.7, "word": " Zero", "probability": 0.97802734375}, {"start": 1979.7, "end": 1980.28, "word": " سالب", "probability": 0.9881184895833334}, {"start": 1980.28, "end": 1980.42, "word": " واحد", "probability": 0.638427734375}, {"start": 1980.42, "end": 1980.84, "word": " كل", "probability": 0.63623046875}, {"start": 1980.84, "end": 1981.58, "word": " أربع", "probability": 0.9244791666666666}, {"start": 1981.58, "end": 1982.18, "word": " مرات", "probability": 0.9757486979166666}, {"start": 1982.18, "end": 1982.92, "word": " بتتكرر", "probability": 0.8629150390625}, {"start": 1982.92, "end": 1984.28, "word": " دورة", "probability": 0.8243815104166666}, {"start": 1984.28, "end": 1984.96, "word": " تبعتنا", "probability": 0.8563232421875}, {"start": 1984.96, "end": 1985.22, "word": " من", "probability": 0.9228515625}, {"start": 1985.22, "end": 1985.76, "word": " جديد", "probability": 0.9913736979166666}, {"start": 1985.76, "end": 1986.0, "word": " يبقى", "probability": 0.80908203125}, {"start": 1986.0, "end": 1986.32, "word": " وليش", "probability": 0.522705078125}, {"start": 1986.32, "end": 1986.5, "word": " اقعد", "probability": 0.7496744791666666}, {"start": 1986.5, "end": 1986.96, "word": " اتكرر", "probability": 0.83935546875}, {"start": 1986.96, "end": 1987.88, "word": " مكافئك", "probability": 0.60595703125}, {"start": 1987.88, "end": 1989.2, "word": " ومنها", "probability": 0.794921875}, {"start": 1989.2, "end": 1989.56, "word": " بدي", "probability": 0.6185302734375}, {"start": 1989.56, "end": 1989.86, "word": " أعرف", "probability": 0.8541666666666666}, {"start": 1989.86, "end": 1990.02, "word": " ما", "probability": 0.89501953125}, {"start": 1990.02, "end": 1990.24, "word": " هو", "probability": 0.84521484375}, {"start": 1990.24, "end": 1990.88, "word": " شكل", "probability": 0.762451171875}, {"start": 1990.88, "end": 1991.84, "word": " الحد", "probability": 0.966064453125}, {"start": 1991.84, "end": 1992.54, "word": " نوني", "probability": 0.7315266927083334}, {"start": 1992.54, "end": 1993.38, "word": " فباجي", "probability": 0.8277587890625}, {"start": 1993.38, "end": 1993.78, "word": " بقول", "probability": 0.951904296875}, {"start": 1993.78, "end": 1994.08, "word": " لو", "probability": 0.9599609375}, {"start": 1994.08, "end": 1994.42, "word": " جيب", "probability": 0.75146484375}, {"start": 1994.42, "end": 1994.94, "word": " ضليت", "probability": 0.72412109375}, {"start": 1994.94, "end": 1995.38, "word": " ماشي", "probability": 0.9479166666666666}, {"start": 1995.38, "end": 1996.14, "word": " لغاية", "probability": 0.9912109375}, {"start": 1996.14, "end": 1997.46, "word": " تفاضل", "probability": 0.9637451171875}, {"start": 1997.46, "end": 1998.76, "word": " N", "probability": 0.86962890625}, {"start": 1998.76, "end": 1999.96, "word": " of", "probability": 0.896484375}, {"start": 1999.96, "end": 2000.74, "word": " X", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 86, "seek": 202306, "start": 2002.56, "end": 2023.06, "text": "سيبك بالإشارة بس بدي أعرف هل هو ال sign ولا ال cosine مين منهم؟ ال cosine ايش عرفك هنا ال cosine؟ اللي بدي واحد منك بس يعرف عيده مشان نتناقش احنا وياه و الكل يستفيد يعني لعل يكون اهتدأ ايه اه؟", "tokens": [3794, 1829, 3555, 4117, 20666, 28814, 8592, 9640, 3660, 4724, 3794, 4724, 16254, 5551, 3615, 28480, 8032, 1211, 31439, 2423, 1465, 49429, 2423, 23565, 3714, 9957, 9154, 16095, 22807, 2423, 23565, 1975, 1829, 8592, 6225, 28480, 4117, 34105, 2423, 23565, 22807, 13672, 1829, 4724, 16254, 36764, 24401, 9154, 4117, 4724, 3794, 37495, 28480, 6225, 25708, 3224, 37893, 7649, 8717, 2655, 8315, 4587, 8592, 1975, 5016, 8315, 4032, 25528, 3224, 4032, 2423, 28820, 7251, 14851, 5172, 25708, 37495, 22653, 5296, 30241, 7251, 30544, 1975, 3224, 2655, 3215, 10721, 1975, 1829, 3224, 1975, 3224, 22807], "avg_logprob": -0.35804522513075077, "compression_ratio": 1.7219251336898396, "no_speech_prob": 0.0, "words": [{"start": 2002.5600000000002, "end": 2003.16, "word": "سيبك", "probability": 0.71551513671875}, {"start": 2003.16, "end": 2003.76, "word": " بالإشارة", "probability": 0.7779541015625}, {"start": 2003.76, "end": 2004.28, "word": " بس", "probability": 0.732177734375}, {"start": 2004.28, "end": 2004.54, "word": " بدي", "probability": 0.7174072265625}, {"start": 2004.54, "end": 2004.78, "word": " أعرف", "probability": 0.91943359375}, {"start": 2004.78, "end": 2005.02, "word": " هل", "probability": 0.91796875}, {"start": 2005.02, "end": 2005.22, "word": " هو", "probability": 0.98486328125}, {"start": 2005.22, "end": 2005.42, "word": " ال", "probability": 0.513671875}, {"start": 2005.42, "end": 2005.72, "word": " sign", "probability": 0.5166015625}, {"start": 2005.72, "end": 2006.1, "word": " ولا", "probability": 0.7578125}, {"start": 2006.1, "end": 2006.28, "word": " ال", "probability": 0.7138671875}, {"start": 2006.28, "end": 2006.64, "word": " cosine", "probability": 0.86865234375}, {"start": 2006.64, "end": 2007.96, "word": " مين", "probability": 0.637451171875}, {"start": 2007.96, "end": 2009.54, "word": " منهم؟", "probability": 0.8282877604166666}, {"start": 2009.54, "end": 2009.8, "word": " ال", "probability": 0.299560546875}, {"start": 2009.8, "end": 2010.08, "word": " cosine", "probability": 0.712890625}, {"start": 2010.08, "end": 2011.7, "word": " ايش", "probability": 0.6056722005208334}, {"start": 2011.7, "end": 2012.2, "word": " عرفك", "probability": 0.9235026041666666}, {"start": 2012.2, "end": 2012.34, "word": " هنا", "probability": 0.60986328125}, {"start": 2012.34, "end": 2012.46, "word": " ال", "probability": 0.381591796875}, {"start": 2012.46, "end": 2014.68, "word": " cosine؟", "probability": 0.804443359375}, {"start": 2014.68, "end": 2015.8, "word": " اللي", "probability": 0.58953857421875}, {"start": 2015.8, "end": 2016.12, "word": " بدي", "probability": 0.765625}, {"start": 2016.12, "end": 2016.38, "word": " واحد", "probability": 0.9326171875}, {"start": 2016.38, "end": 2016.6, "word": " منك", "probability": 0.408447265625}, {"start": 2016.6, "end": 2016.92, "word": " بس", "probability": 0.789306640625}, {"start": 2016.92, "end": 2017.14, "word": " يعرف", "probability": 0.862060546875}, {"start": 2017.14, "end": 2017.4, "word": " عيده", "probability": 0.8888346354166666}, {"start": 2017.4, "end": 2017.64, "word": " مشان", "probability": 0.341064453125}, {"start": 2017.64, "end": 2018.18, "word": " نتناقش", "probability": 0.92509765625}, {"start": 2018.18, "end": 2018.38, "word": " احنا", "probability": 0.8570963541666666}, {"start": 2018.38, "end": 2018.68, "word": " وياه", "probability": 0.9098307291666666}, {"start": 2018.68, "end": 2018.74, "word": " و", "probability": 0.720703125}, {"start": 2018.74, "end": 2018.96, "word": " الكل", "probability": 0.68994140625}, {"start": 2018.96, "end": 2019.58, "word": " يستفيد", "probability": 0.9886474609375}, {"start": 2019.58, "end": 2020.56, "word": " يعني", "probability": 0.9296875}, {"start": 2020.56, "end": 2020.98, "word": " لعل", "probability": 0.7138671875}, {"start": 2020.98, "end": 2021.5, "word": " يكون", "probability": 0.9619140625}, {"start": 2021.5, "end": 2022.22, "word": " اهتدأ", "probability": 0.670263671875}, {"start": 2022.22, "end": 2022.38, "word": " ايه", "probability": 0.7076822916666666}, {"start": 2022.38, "end": 2023.06, "word": " اه؟", "probability": 0.6197916666666666}], "temperature": 1.0}, {"id": 87, "seek": 205839, "start": 2029.77, "end": 2058.39, "text": "يعني اكتب cosine X هيك طيب هذه لو كانت N مثلا بقداش لو كانت N بتلاتة او واحد او خمسة او سبعة طيب لو كانت N باتنين بيصير كلامك مش مظبوط صحيح ولا لا؟ كويس نتناقش ماشي يتكلم الواحد حتى لو غلط من الغلط لازم نعرف الصح حل ليه؟ مافيش حاجة سباتين كلمة", "tokens": [40228, 22653, 1975, 4117, 2655, 3555, 23565, 1783, 39896, 4117, 23032, 1829, 3555, 29538, 45164, 25961, 2655, 426, 50113, 15040, 4724, 28543, 33599, 45164, 25961, 2655, 426, 39894, 1211, 9307, 3660, 1975, 2407, 36764, 24401, 1975, 2407, 16490, 2304, 3794, 3660, 1975, 2407, 8608, 3555, 27884, 23032, 1829, 3555, 45164, 25961, 2655, 426, 4724, 9307, 1863, 9957, 4724, 1829, 9381, 13546, 28242, 10943, 4117, 37893, 3714, 19913, 3555, 2407, 9566, 20328, 5016, 1829, 5016, 49429, 20193, 22807, 9122, 45865, 3794, 8717, 2655, 8315, 4587, 8592, 3714, 33599, 1829, 7251, 2655, 4117, 19528, 2423, 14407, 24401, 11331, 49975, 45164, 32771, 1211, 9566, 9154, 6024, 118, 1211, 9566, 5296, 31377, 2304, 8717, 3615, 28480, 31767, 5016, 11331, 1211, 32239, 3224, 22807, 19446, 41185, 8592, 11331, 26108, 3660, 8608, 3555, 9307, 9957, 9122, 19528, 3660], "avg_logprob": -0.25117481651162743, "compression_ratio": 1.7890295358649788, "no_speech_prob": 0.0, "words": [{"start": 2029.77, "end": 2030.13, "word": "يعني", "probability": 0.524169921875}, {"start": 2030.13, "end": 2030.55, "word": " اكتب", "probability": 0.89794921875}, {"start": 2030.55, "end": 2030.93, "word": " cosine", "probability": 0.46533203125}, {"start": 2030.93, "end": 2031.23, "word": " X", "probability": 0.37548828125}, {"start": 2031.23, "end": 2031.67, "word": " هيك", "probability": 0.747802734375}, {"start": 2031.67, "end": 2032.55, "word": " طيب", "probability": 0.77978515625}, {"start": 2032.55, "end": 2032.87, "word": " هذه", "probability": 0.44677734375}, {"start": 2032.87, "end": 2033.07, "word": " لو", "probability": 0.9677734375}, {"start": 2033.07, "end": 2033.57, "word": " كانت", "probability": 0.955322265625}, {"start": 2033.57, "end": 2033.93, "word": " N", "probability": 0.486328125}, {"start": 2033.93, "end": 2034.87, "word": " مثلا", "probability": 0.96435546875}, {"start": 2034.87, "end": 2036.07, "word": " بقداش", "probability": 0.6824951171875}, {"start": 2036.07, "end": 2036.71, "word": " لو", "probability": 0.7958984375}, {"start": 2036.71, "end": 2037.27, "word": " كانت", "probability": 0.98779296875}, {"start": 2037.27, "end": 2037.53, "word": " N", "probability": 0.896484375}, {"start": 2037.53, "end": 2038.55, "word": " بتلاتة", "probability": 0.76251220703125}, {"start": 2038.55, "end": 2038.79, "word": " او", "probability": 0.8076171875}, {"start": 2038.79, "end": 2039.21, "word": " واحد", "probability": 0.966552734375}, {"start": 2039.21, "end": 2040.17, "word": " او", "probability": 0.961181640625}, {"start": 2040.17, "end": 2040.77, "word": " خمسة", "probability": 0.958984375}, {"start": 2040.77, "end": 2040.95, "word": " او", "probability": 0.935546875}, {"start": 2040.95, "end": 2041.41, "word": " سبعة", "probability": 0.958984375}, {"start": 2041.41, "end": 2041.99, "word": " طيب", "probability": 0.83740234375}, {"start": 2041.99, "end": 2042.23, "word": " لو", "probability": 0.9794921875}, {"start": 2042.23, "end": 2042.59, "word": " كانت", "probability": 0.98046875}, {"start": 2042.59, "end": 2042.81, "word": " N", "probability": 0.9462890625}, {"start": 2042.81, "end": 2043.47, "word": " باتنين", "probability": 0.76812744140625}, {"start": 2043.47, "end": 2045.51, "word": " بيصير", "probability": 0.66156005859375}, {"start": 2045.51, "end": 2045.95, "word": " كلامك", "probability": 0.896484375}, {"start": 2045.95, "end": 2046.11, "word": " مش", "probability": 0.9921875}, {"start": 2046.11, "end": 2047.77, "word": " مظبوط", "probability": 0.8884765625}, {"start": 2047.77, "end": 2048.33, "word": " صحيح", "probability": 0.987060546875}, {"start": 2048.33, "end": 2048.47, "word": " ولا", "probability": 0.92822265625}, {"start": 2048.47, "end": 2048.99, "word": " لا؟", "probability": 0.70166015625}, {"start": 2048.99, "end": 2049.35, "word": " كويس", "probability": 0.9132486979166666}, {"start": 2049.35, "end": 2049.83, "word": " نتناقش", "probability": 0.939453125}, {"start": 2049.83, "end": 2050.11, "word": " ماشي", "probability": 0.9012044270833334}, {"start": 2050.11, "end": 2050.85, "word": " يتكلم", "probability": 0.9417724609375}, {"start": 2050.85, "end": 2051.13, "word": " الواحد", "probability": 0.89111328125}, {"start": 2051.13, "end": 2051.45, "word": " حتى", "probability": 0.709228515625}, {"start": 2051.45, "end": 2051.63, "word": " لو", "probability": 0.9765625}, {"start": 2051.63, "end": 2052.03, "word": " غلط", "probability": 0.9847005208333334}, {"start": 2052.03, "end": 2052.41, "word": " من", "probability": 0.802734375}, {"start": 2052.41, "end": 2052.73, "word": " الغلط", "probability": 0.9393310546875}, {"start": 2052.73, "end": 2052.87, "word": " لازم", "probability": 0.5489705403645834}, {"start": 2052.87, "end": 2053.13, "word": " نعرف", "probability": 0.9054361979166666}, {"start": 2053.13, "end": 2053.55, "word": " الصح", "probability": 0.96875}, {"start": 2053.55, "end": 2056.65, "word": " حل", "probability": 0.567626953125}, {"start": 2056.65, "end": 2057.13, "word": " ليه؟", "probability": 0.7565104166666666}, {"start": 2057.13, "end": 2057.35, "word": " مافيش", "probability": 0.8224283854166666}, {"start": 2057.35, "end": 2057.63, "word": " حاجة", "probability": 0.9920247395833334}, {"start": 2057.63, "end": 2058.07, "word": " سباتين", "probability": 0.431976318359375}, {"start": 2058.07, "end": 2058.39, "word": " كلمة", "probability": 0.8294270833333334}], "temperature": 1.0}, {"id": 88, "seek": 207058, "start": 2061.7, "end": 2070.58, "text": "هذه اللي هي تخضع للحلول الوصلة، أه مش مفاوضاتي، هذا علم، والعلم حد فاصل، مش فيها تفاعل", "tokens": [3224, 24192, 13672, 1829, 39896, 6055, 9778, 11242, 3615, 24976, 5016, 1211, 12610, 2423, 2407, 9381, 37977, 12399, 5551, 3224, 37893, 3714, 5172, 995, 2407, 11242, 9307, 1829, 12399, 23758, 11203, 2304, 12399, 16070, 3615, 19528, 11331, 3215, 6156, 33546, 1211, 12399, 37893, 8978, 11296, 6055, 5172, 995, 30241], "avg_logprob": -0.3079687601327896, "compression_ratio": 1.4857142857142858, "no_speech_prob": 1.5079975128173828e-05, "words": [{"start": 2061.7, "end": 2062.62, "word": "هذه", "probability": 0.560302734375}, {"start": 2062.62, "end": 2062.74, "word": " اللي", "probability": 0.497894287109375}, {"start": 2062.74, "end": 2062.86, "word": " هي", "probability": 0.5595703125}, {"start": 2062.86, "end": 2063.38, "word": " تخضع", "probability": 0.906982421875}, {"start": 2063.38, "end": 2063.84, "word": " للحلول", "probability": 0.9068603515625}, {"start": 2063.84, "end": 2065.3, "word": " الوصلة،", "probability": 0.70341796875}, {"start": 2065.3, "end": 2065.58, "word": " أه", "probability": 0.58038330078125}, {"start": 2065.58, "end": 2065.78, "word": " مش", "probability": 0.935546875}, {"start": 2065.78, "end": 2066.82, "word": " مفاوضاتي،", "probability": 0.844879150390625}, {"start": 2066.82, "end": 2067.0, "word": " هذا", "probability": 0.8818359375}, {"start": 2067.0, "end": 2067.66, "word": " علم،", "probability": 0.837890625}, {"start": 2067.66, "end": 2068.06, "word": " والعلم", "probability": 0.6717122395833334}, {"start": 2068.06, "end": 2068.74, "word": " حد", "probability": 0.970458984375}, {"start": 2068.74, "end": 2069.62, "word": " فاصل،", "probability": 0.9429931640625}, {"start": 2069.62, "end": 2069.78, "word": " مش", "probability": 0.41064453125}, {"start": 2069.78, "end": 2070.12, "word": " فيها", "probability": 0.9794921875}, {"start": 2070.12, "end": 2070.58, "word": " تفاعل", "probability": 0.7723388671875}], "temperature": 1.0}, {"id": 89, "seek": 209023, "start": 2071.44, "end": 2090.24, "text": "خلاص طيب لا يمكن اقدر احدد انها sine او cosine على الاقل مافي امكانية لكن بنقدر نحل المشكلة بنفكر شوية بنحلها طب انا مدام فاصلت ان الزوجيات cosine مثلا و الفرديات sine او العكس", "tokens": [9778, 1211, 33546, 23032, 1829, 3555, 20193, 7251, 43020, 1975, 28543, 2288, 1975, 24401, 3215, 16472, 11296, 18609, 1975, 2407, 23565, 15844, 42963, 4587, 1211, 19446, 41185, 1975, 2304, 41361, 10632, 44381, 44945, 28543, 2288, 8717, 5016, 1211, 9673, 8592, 28820, 3660, 44945, 5172, 37983, 13412, 2407, 10632, 44945, 5016, 1211, 11296, 23032, 3555, 1975, 8315, 3714, 3215, 10943, 6156, 33546, 1211, 2655, 16472, 6024, 110, 29245, 1829, 9307, 23565, 50113, 15040, 4032, 27188, 2288, 16254, 9307, 18609, 1975, 2407, 18863, 4117, 3794], "avg_logprob": -0.19921874361378805, "compression_ratio": 1.7183908045977012, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2071.44, "end": 2072.06, "word": "خلاص", "probability": 0.6956990559895834}, {"start": 2072.06, "end": 2073.1, "word": " طيب", "probability": 0.74462890625}, {"start": 2073.1, "end": 2073.42, "word": " لا", "probability": 0.54638671875}, {"start": 2073.42, "end": 2074.04, "word": " يمكن", "probability": 0.93505859375}, {"start": 2074.04, "end": 2074.64, "word": " اقدر", "probability": 0.8798828125}, {"start": 2074.64, "end": 2075.36, "word": " احدد", "probability": 0.9708658854166666}, {"start": 2075.36, "end": 2075.76, "word": " انها", "probability": 0.901123046875}, {"start": 2075.76, "end": 2076.22, "word": " sine", "probability": 0.11083984375}, {"start": 2076.22, "end": 2076.6, "word": " او", "probability": 0.864013671875}, {"start": 2076.6, "end": 2077.04, "word": " cosine", "probability": 0.88037109375}, {"start": 2077.04, "end": 2077.32, "word": " على", "probability": 0.822265625}, {"start": 2077.32, "end": 2077.7, "word": " الاقل", "probability": 0.7413736979166666}, {"start": 2077.7, "end": 2078.48, "word": " مافي", "probability": 0.65673828125}, {"start": 2078.48, "end": 2079.38, "word": " امكانية", "probability": 0.8841552734375}, {"start": 2079.38, "end": 2080.26, "word": " لكن", "probability": 0.603515625}, {"start": 2080.26, "end": 2080.8, "word": " بنقدر", "probability": 0.8426106770833334}, {"start": 2080.8, "end": 2081.12, "word": " نحل", "probability": 0.8899739583333334}, {"start": 2081.12, "end": 2081.72, "word": " المشكلة", "probability": 0.9815673828125}, {"start": 2081.72, "end": 2082.44, "word": " بنفكر", "probability": 0.8990885416666666}, {"start": 2082.44, "end": 2082.8, "word": " شوية", "probability": 0.8645833333333334}, {"start": 2082.8, "end": 2083.5, "word": " بنحلها", "probability": 0.9107666015625}, {"start": 2083.5, "end": 2084.1, "word": " طب", "probability": 0.89794921875}, {"start": 2084.1, "end": 2084.42, "word": " انا", "probability": 0.93359375}, {"start": 2084.42, "end": 2084.86, "word": " مدام", "probability": 0.8201497395833334}, {"start": 2084.86, "end": 2085.72, "word": " فاصلت", "probability": 0.9605712890625}, {"start": 2085.72, "end": 2085.96, "word": " ان", "probability": 0.8828125}, {"start": 2085.96, "end": 2086.92, "word": " الزوجيات", "probability": 0.91669921875}, {"start": 2086.92, "end": 2087.52, "word": " cosine", "probability": 0.953125}, {"start": 2087.52, "end": 2088.08, "word": " مثلا", "probability": 0.97802734375}, {"start": 2088.08, "end": 2088.28, "word": " و", "probability": 0.52099609375}, {"start": 2088.28, "end": 2089.1, "word": " الفرديات", "probability": 0.8475341796875}, {"start": 2089.1, "end": 2089.42, "word": " sine", "probability": 0.79541015625}, {"start": 2089.42, "end": 2089.68, "word": " او", "probability": 0.958251953125}, {"start": 2089.68, "end": 2090.24, "word": " العكس", "probability": 0.9803059895833334}], "temperature": 1.0}, {"id": 90, "seek": 210183, "start": 2090.71, "end": 2101.83, "text": "إذا خلّيني أظل ماشي لغة معصر لمشتقة زوجية ومشتقة فردية، دي معنى لو ضليت ماشي للمشتقة الرقم اتنين N", "tokens": [28814, 15730, 16490, 1211, 11703, 9957, 1829, 5551, 19913, 1211, 3714, 33599, 1829, 5296, 17082, 3660, 20449, 9381, 2288, 32767, 8592, 2655, 28671, 30767, 29245, 10632, 4032, 2304, 8592, 2655, 28671, 6156, 2288, 3215, 10632, 12399, 11778, 1829, 20449, 1863, 7578, 45164, 48812, 20292, 2655, 3714, 33599, 1829, 5296, 19528, 8592, 2655, 28671, 34892, 4587, 2304, 1975, 2655, 1863, 9957, 426], "avg_logprob": -0.21824596413681585, "compression_ratio": 1.4873949579831933, "no_speech_prob": 0.0, "words": [{"start": 2090.71, "end": 2091.01, "word": "إذا", "probability": 0.50201416015625}, {"start": 2091.01, "end": 2091.85, "word": " خلّيني", "probability": 0.778271484375}, {"start": 2091.85, "end": 2092.25, "word": " أظل", "probability": 0.6014811197916666}, {"start": 2092.25, "end": 2092.61, "word": " ماشي", "probability": 0.8662109375}, {"start": 2092.61, "end": 2092.89, "word": " لغة", "probability": 0.8850911458333334}, {"start": 2092.89, "end": 2093.37, "word": " معصر", "probability": 0.7366536458333334}, {"start": 2093.37, "end": 2094.19, "word": " لمشتقة", "probability": 0.9554443359375}, {"start": 2094.19, "end": 2094.95, "word": " زوجية", "probability": 0.9256184895833334}, {"start": 2094.95, "end": 2095.59, "word": " ومشتقة", "probability": 0.9244140625}, {"start": 2095.59, "end": 2096.63, "word": " فردية،", "probability": 0.88046875}, {"start": 2096.63, "end": 2096.85, "word": " دي", "probability": 0.5760498046875}, {"start": 2096.85, "end": 2097.41, "word": " معنى", "probability": 0.8846028645833334}, {"start": 2097.41, "end": 2097.89, "word": " لو", "probability": 0.7744140625}, {"start": 2097.89, "end": 2098.45, "word": " ضليت", "probability": 0.7545572916666666}, {"start": 2098.45, "end": 2098.87, "word": " ماشي", "probability": 0.9459635416666666}, {"start": 2098.87, "end": 2099.83, "word": " للمشتقة", "probability": 0.9720703125}, {"start": 2099.83, "end": 2100.71, "word": " الرقم", "probability": 0.96435546875}, {"start": 2100.71, "end": 2101.49, "word": " اتنين", "probability": 0.9154052734375}, {"start": 2101.49, "end": 2101.83, "word": " N", "probability": 0.460693359375}], "temperature": 1.0}, {"id": 91, "seek": 213030, "start": 2102.72, "end": 2130.3, "text": "إذاً هذه مشتقة زوجية ولا فردية زوجية تعالى نشوف المشتقات الزوجية هي قبل اشتقاق sign مشتقة الزوجية سالب sign مشتقة الزوجية ال sign اللي بعدها ال sign يبقى هي ال sign ال X بس بضال ال main اللي إشارة نفهم عليها مش مشكلة إذا المشتقة الزوجية هي ال sign ال X والإشارة هي سالب واحد to the power N دلوقت ما أشوف صح ولا غلط", "tokens": [28814, 15730, 14111, 29538, 37893, 2655, 28671, 30767, 29245, 10632, 49429, 6156, 2288, 3215, 10632, 30767, 29245, 10632, 37279, 6027, 7578, 8717, 8592, 38688, 9673, 8592, 2655, 4587, 9307, 6024, 110, 29245, 10632, 39896, 12174, 36150, 1975, 8592, 2655, 4587, 995, 4587, 1465, 37893, 2655, 28671, 6024, 110, 29245, 10632, 8608, 6027, 3555, 1465, 37893, 2655, 28671, 6024, 110, 29245, 10632, 2423, 1465, 13672, 1829, 39182, 11296, 2423, 1465, 7251, 3555, 4587, 7578, 39896, 2423, 1465, 2423, 1783, 4724, 3794, 4724, 11242, 6027, 2423, 2135, 13672, 1829, 11933, 8592, 9640, 3660, 8717, 5172, 16095, 25894, 11296, 37893, 37893, 28820, 3660, 11933, 15730, 9673, 8592, 2655, 28671, 6024, 110, 29245, 10632, 39896, 2423, 1465, 2423, 1783, 16070, 28814, 8592, 9640, 3660, 39896, 8608, 6027, 3555, 36764, 24401, 281, 264, 1347, 426, 11778, 1211, 30543, 2655, 19446, 5551, 8592, 38688, 20328, 5016, 49429, 32771, 1211, 9566], "avg_logprob": -0.2344827520436254, "compression_ratio": 2.1434426229508197, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2102.72, "end": 2103.2, "word": "إذاً", "probability": 0.4364827473958333}, {"start": 2103.2, "end": 2103.4, "word": " هذه", "probability": 0.59423828125}, {"start": 2103.4, "end": 2103.82, "word": " مشتقة", "probability": 0.8955078125}, {"start": 2103.82, "end": 2104.22, "word": " زوجية", "probability": 0.9763997395833334}, {"start": 2104.22, "end": 2104.44, "word": " ولا", "probability": 0.6611328125}, {"start": 2104.44, "end": 2105.1, "word": " فردية", "probability": 0.89501953125}, {"start": 2105.1, "end": 2106.2, "word": " زوجية", "probability": 0.8626302083333334}, {"start": 2106.2, "end": 2106.5, "word": " تعالى", "probability": 0.77197265625}, {"start": 2106.5, "end": 2106.78, "word": " نشوف", "probability": 0.9552408854166666}, {"start": 2106.78, "end": 2107.48, "word": " المشتقات", "probability": 0.93974609375}, {"start": 2107.48, "end": 2108.18, "word": " الزوجية", "probability": 0.965087890625}, {"start": 2108.18, "end": 2108.8, "word": " هي", "probability": 0.5029296875}, {"start": 2108.8, "end": 2109.2, "word": " قبل", "probability": 0.912353515625}, {"start": 2109.2, "end": 2109.9, "word": " اشتقاق", "probability": 0.9065755208333334}, {"start": 2109.9, "end": 2110.38, "word": " sign", "probability": 0.1832275390625}, {"start": 2110.38, "end": 2111.42, "word": " مشتقة", "probability": 0.9544270833333334}, {"start": 2111.42, "end": 2112.0, "word": " الزوجية", "probability": 0.9376220703125}, {"start": 2112.0, "end": 2112.54, "word": " سالب", "probability": 0.601806640625}, {"start": 2112.54, "end": 2112.98, "word": " sign", "probability": 0.75341796875}, {"start": 2112.98, "end": 2113.68, "word": " مشتقة", "probability": 0.9716796875}, {"start": 2113.68, "end": 2114.28, "word": " الزوجية", "probability": 0.9783935546875}, {"start": 2114.28, "end": 2114.5, "word": " ال", "probability": 0.5771484375}, {"start": 2114.5, "end": 2114.84, "word": " sign", "probability": 0.6240234375}, {"start": 2114.84, "end": 2115.34, "word": " اللي", "probability": 0.81103515625}, {"start": 2115.34, "end": 2115.8, "word": " بعدها", "probability": 0.90576171875}, {"start": 2115.8, "end": 2115.96, "word": " ال", "probability": 0.84326171875}, {"start": 2115.96, "end": 2116.26, "word": " sign", "probability": 0.81884765625}, {"start": 2116.26, "end": 2116.9, "word": " يبقى", "probability": 0.925537109375}, {"start": 2116.9, "end": 2117.06, "word": " هي", "probability": 0.515625}, {"start": 2117.06, "end": 2117.16, "word": " ال", "probability": 0.7529296875}, {"start": 2117.16, "end": 2117.36, "word": " sign", "probability": 0.912109375}, {"start": 2117.36, "end": 2117.52, "word": " ال", "probability": 0.75537109375}, {"start": 2117.52, "end": 2117.68, "word": " X", "probability": 0.68798828125}, {"start": 2117.68, "end": 2117.96, "word": " بس", "probability": 0.97509765625}, {"start": 2117.96, "end": 2118.3, "word": " بضال", "probability": 0.556396484375}, {"start": 2118.3, "end": 2118.46, "word": " ال", "probability": 0.79443359375}, {"start": 2118.46, "end": 2118.68, "word": " main", "probability": 0.71875}, {"start": 2118.68, "end": 2119.14, "word": " اللي", "probability": 0.7548828125}, {"start": 2119.14, "end": 2119.48, "word": " إشارة", "probability": 0.680938720703125}, {"start": 2119.48, "end": 2120.06, "word": " نفهم", "probability": 0.7566731770833334}, {"start": 2120.06, "end": 2120.4, "word": " عليها", "probability": 0.96728515625}, {"start": 2120.4, "end": 2120.56, "word": " مش", "probability": 0.44921875}, {"start": 2120.56, "end": 2121.12, "word": " مشكلة", "probability": 0.9869791666666666}, {"start": 2121.12, "end": 2121.74, "word": " إذا", "probability": 0.9638671875}, {"start": 2121.74, "end": 2122.44, "word": " المشتقة", "probability": 0.9295654296875}, {"start": 2122.44, "end": 2123.24, "word": " الزوجية", "probability": 0.97900390625}, {"start": 2123.24, "end": 2123.82, "word": " هي", "probability": 0.9443359375}, {"start": 2123.82, "end": 2124.16, "word": " ال", "probability": 0.734375}, {"start": 2124.16, "end": 2124.82, "word": " sign", "probability": 0.931640625}, {"start": 2124.82, "end": 2125.1, "word": " ال", "probability": 0.8701171875}, {"start": 2125.1, "end": 2125.52, "word": " X", "probability": 0.98681640625}, {"start": 2125.52, "end": 2126.7, "word": " والإشارة", "probability": 0.872265625}, {"start": 2126.7, "end": 2126.96, "word": " هي", "probability": 0.8359375}, {"start": 2126.96, "end": 2127.5, "word": " سالب", "probability": 0.7747395833333334}, {"start": 2127.5, "end": 2127.88, "word": " واحد", "probability": 0.6982421875}, {"start": 2127.88, "end": 2128.02, "word": " to", "probability": 0.7724609375}, {"start": 2128.02, "end": 2128.24, "word": " the", "probability": 0.927734375}, {"start": 2128.24, "end": 2128.6, "word": " power", "probability": 0.6162109375}, {"start": 2128.6, "end": 2128.8, "word": " N", "probability": 0.390625}, {"start": 2128.8, "end": 2129.22, "word": " دلوقت", "probability": 0.6221923828125}, {"start": 2129.22, "end": 2129.34, "word": " ما", "probability": 0.8701171875}, {"start": 2129.34, "end": 2129.54, "word": " أشوف", "probability": 0.8592122395833334}, {"start": 2129.54, "end": 2129.78, "word": " صح", "probability": 0.98583984375}, {"start": 2129.78, "end": 2129.98, "word": " ولا", "probability": 0.80615234375}, {"start": 2129.98, "end": 2130.3, "word": " غلط", "probability": 0.9454752604166666}], "temperature": 1.0}, {"id": 92, "seek": 214648, "start": 2130.94, "end": 2146.48, "text": "يبقى لو جيت بالدقيقة دي اخد عندي zero اتدلق قبل الاشتقاق بصين ال X بعد ال zero ايش بيجيني", "tokens": [1829, 3555, 4587, 7578, 45164, 10874, 36081, 20666, 3215, 38436, 28671, 11778, 1829, 1975, 9778, 3215, 18871, 16254, 4018, 1975, 2655, 3215, 1211, 4587, 12174, 36150, 2423, 33599, 2655, 4587, 995, 4587, 4724, 9381, 9957, 2423, 1783, 39182, 2423, 4018, 1975, 1829, 8592, 4724, 1829, 7435, 9957, 1829], "avg_logprob": -0.47034437802373147, "compression_ratio": 1.336283185840708, "no_speech_prob": 0.0, "words": [{"start": 2130.94, "end": 2131.36, "word": "يبقى", "probability": 0.6052093505859375}, {"start": 2131.36, "end": 2131.56, "word": " لو", "probability": 0.67041015625}, {"start": 2131.56, "end": 2131.86, "word": " جيت", "probability": 0.70361328125}, {"start": 2131.86, "end": 2132.48, "word": " بالدقيقة", "probability": 0.5506591796875}, {"start": 2132.48, "end": 2132.6, "word": " دي", "probability": 0.928955078125}, {"start": 2132.6, "end": 2133.22, "word": " اخد", "probability": 0.7685546875}, {"start": 2133.22, "end": 2133.8, "word": " عندي", "probability": 0.78466796875}, {"start": 2133.8, "end": 2134.56, "word": " zero", "probability": 0.152099609375}, {"start": 2134.56, "end": 2137.46, "word": " اتدلق", "probability": 0.7375}, {"start": 2137.46, "end": 2138.04, "word": " قبل", "probability": 0.958251953125}, {"start": 2138.04, "end": 2139.34, "word": " الاشتقاق", "probability": 0.84912109375}, {"start": 2139.34, "end": 2144.58, "word": " بصين", "probability": 0.5306803385416666}, {"start": 2144.58, "end": 2144.74, "word": " ال", "probability": 0.43994140625}, {"start": 2144.74, "end": 2145.0, "word": " X", "probability": 0.6435546875}, {"start": 2145.0, "end": 2145.48, "word": " بعد", "probability": 0.307373046875}, {"start": 2145.48, "end": 2145.68, "word": " ال", "probability": 0.7080078125}, {"start": 2145.68, "end": 2145.86, "word": " zero", "probability": 0.76318359375}, {"start": 2145.86, "end": 2145.98, "word": " ايش", "probability": 0.7154947916666666}, {"start": 2145.98, "end": 2146.48, "word": " بيجيني", "probability": 0.8328125}], "temperature": 1.0}, {"id": 93, "seek": 217652, "start": 2146.94, "end": 2176.52, "text": "1 اتنين في واحد في اتنين تعني المشتقة الثانية يبقى سالب واحد اقصر واحد يبقى سالب sign X المشتقة الثانية سالب sign X بعد الواحد بيجيني اتنين في اتنين باربع يعني المشتقة رقم اربع بعد المشتقة الرابع هنا سالب واحد في ربيع يبقى موجة بواحد sign X المشتقة الرابعة هي موجة ب sign X مية المية مافي مشكلة", "tokens": [16, 1975, 2655, 1863, 9957, 8978, 36764, 24401, 8978, 1975, 2655, 1863, 9957, 37279, 22653, 9673, 8592, 2655, 28671, 6024, 104, 7649, 10632, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 36764, 24401, 1975, 4587, 9381, 2288, 36764, 24401, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 1465, 1783, 9673, 8592, 2655, 28671, 6024, 104, 7649, 10632, 8608, 6027, 3555, 1465, 1783, 39182, 2423, 14407, 24401, 4724, 1829, 7435, 9957, 1829, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 4724, 9640, 3555, 3615, 37495, 22653, 9673, 8592, 2655, 28671, 12602, 4587, 2304, 1975, 25513, 3615, 39182, 9673, 8592, 2655, 28671, 34892, 16758, 3615, 34105, 8608, 6027, 3555, 36764, 24401, 8978, 12602, 21292, 3615, 7251, 3555, 4587, 7578, 3714, 29245, 3660, 4724, 14407, 24401, 1465, 1783, 9673, 8592, 2655, 28671, 34892, 16758, 27884, 39896, 3714, 29245, 3660, 4724, 1465, 1783, 3714, 10632, 9673, 10632, 19446, 41185, 37893, 28820, 3660], "avg_logprob": -0.17071368243243243, "compression_ratio": 2.6153846153846154, "no_speech_prob": 0.0, "words": [{"start": 2146.94, "end": 2147.46, "word": "1", "probability": 0.1455078125}, {"start": 2147.46, "end": 2147.92, "word": " اتنين", "probability": 0.7435150146484375}, {"start": 2147.92, "end": 2148.06, "word": " في", "probability": 0.70458984375}, {"start": 2148.06, "end": 2148.3, "word": " واحد", "probability": 0.852294921875}, {"start": 2148.3, "end": 2148.42, "word": " في", "probability": 0.392333984375}, {"start": 2148.42, "end": 2148.66, "word": " اتنين", "probability": 0.976806640625}, {"start": 2148.66, "end": 2149.02, "word": " تعني", "probability": 0.73388671875}, {"start": 2149.02, "end": 2150.08, "word": " المشتقة", "probability": 0.937744140625}, {"start": 2150.08, "end": 2151.62, "word": " الثانية", "probability": 0.8812255859375}, {"start": 2151.62, "end": 2152.3, "word": " يبقى", "probability": 0.9324951171875}, {"start": 2152.3, "end": 2152.72, "word": " سالب", "probability": 0.8478190104166666}, {"start": 2152.72, "end": 2153.12, "word": " واحد", "probability": 0.964111328125}, {"start": 2153.12, "end": 2153.46, "word": " اقصر", "probability": 0.7066650390625}, {"start": 2153.46, "end": 2153.68, "word": " واحد", "probability": 0.974609375}, {"start": 2153.68, "end": 2154.0, "word": " يبقى", "probability": 0.9405517578125}, {"start": 2154.0, "end": 2154.7, "word": " سالب", "probability": 0.9267578125}, {"start": 2154.7, "end": 2155.16, "word": " sign", "probability": 0.2607421875}, {"start": 2155.16, "end": 2155.64, "word": " X", "probability": 0.68701171875}, {"start": 2155.64, "end": 2156.74, "word": " المشتقة", "probability": 0.9732666015625}, {"start": 2156.74, "end": 2157.26, "word": " الثانية", "probability": 0.9686279296875}, {"start": 2157.26, "end": 2157.78, "word": " سالب", "probability": 0.9734700520833334}, {"start": 2157.78, "end": 2158.14, "word": " sign", "probability": 0.7744140625}, {"start": 2158.14, "end": 2158.62, "word": " X", "probability": 0.8076171875}, {"start": 2158.62, "end": 2159.54, "word": " بعد", "probability": 0.71875}, {"start": 2159.54, "end": 2159.88, "word": " الواحد", "probability": 0.7874348958333334}, {"start": 2159.88, "end": 2160.38, "word": " بيجيني", "probability": 0.786767578125}, {"start": 2160.38, "end": 2160.76, "word": " اتنين", "probability": 0.9820556640625}, {"start": 2160.76, "end": 2160.9, "word": " في", "probability": 0.9326171875}, {"start": 2160.9, "end": 2161.48, "word": " اتنين", "probability": 0.99072265625}, {"start": 2161.48, "end": 2162.6, "word": " باربع", "probability": 0.78509521484375}, {"start": 2162.6, "end": 2162.86, "word": " يعني", "probability": 0.922119140625}, {"start": 2162.86, "end": 2163.42, "word": " المشتقة", "probability": 0.924560546875}, {"start": 2163.42, "end": 2164.08, "word": " رقم", "probability": 0.9422200520833334}, {"start": 2164.08, "end": 2165.04, "word": " اربع", "probability": 0.8089192708333334}, {"start": 2165.04, "end": 2165.62, "word": " بعد", "probability": 0.219482421875}, {"start": 2165.62, "end": 2166.44, "word": " المشتقة", "probability": 0.970458984375}, {"start": 2166.44, "end": 2167.08, "word": " الرابع", "probability": 0.93994140625}, {"start": 2167.08, "end": 2167.92, "word": " هنا", "probability": 0.91796875}, {"start": 2167.92, "end": 2168.92, "word": " سالب", "probability": 0.9816080729166666}, {"start": 2168.92, "end": 2169.54, "word": " واحد", "probability": 0.991943359375}, {"start": 2169.54, "end": 2169.92, "word": " في", "probability": 0.7529296875}, {"start": 2169.92, "end": 2170.58, "word": " ربيع", "probability": 0.8279622395833334}, {"start": 2170.58, "end": 2171.14, "word": " يبقى", "probability": 0.9832763671875}, {"start": 2171.14, "end": 2171.54, "word": " موجة", "probability": 0.97509765625}, {"start": 2171.54, "end": 2171.92, "word": " بواحد", "probability": 0.9324544270833334}, {"start": 2171.92, "end": 2172.22, "word": " sign", "probability": 0.8251953125}, {"start": 2172.22, "end": 2172.52, "word": " X", "probability": 0.986328125}, {"start": 2172.52, "end": 2173.46, "word": " المشتقة", "probability": 0.9849853515625}, {"start": 2173.46, "end": 2173.84, "word": " الرابعة", "probability": 0.9173177083333334}, {"start": 2173.84, "end": 2174.08, "word": " هي", "probability": 0.8251953125}, {"start": 2174.08, "end": 2174.34, "word": " موجة", "probability": 0.9798177083333334}, {"start": 2174.34, "end": 2174.42, "word": " ب", "probability": 0.86181640625}, {"start": 2174.42, "end": 2174.64, "word": " sign", "probability": 0.331298828125}, {"start": 2174.64, "end": 2174.92, "word": " X", "probability": 0.986328125}, {"start": 2174.92, "end": 2175.28, "word": " مية", "probability": 0.81298828125}, {"start": 2175.28, "end": 2175.64, "word": " المية", "probability": 0.691650390625}, {"start": 2175.64, "end": 2175.98, "word": " مافي", "probability": 0.873046875}, {"start": 2175.98, "end": 2176.52, "word": " مشكلة", "probability": 0.9571940104166666}], "temperature": 1.0}, {"id": 94, "seek": 220315, "start": 2176.89, "end": 2203.15, "text": "بدا أحسن التفاضل رقم 2N عند الـ Zero يبقى هذا بده يطلع سالب واحد أس N في ال sign ال Zero اللي هو بجداش ب Zero طيب بالمرة هات اللي بعدها و خلاصنا يبقى هاي وصلنا لتفاضل رقم 2N زائد واحد عند ال X", "tokens": [3555, 28259, 5551, 5016, 3794, 1863, 16712, 5172, 46958, 1211, 12602, 4587, 2304, 568, 45, 43242, 2423, 39184, 17182, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 9566, 1211, 3615, 8608, 6027, 3555, 36764, 24401, 5551, 3794, 426, 8978, 2423, 1465, 2423, 17182, 13672, 1829, 31439, 4724, 7435, 3215, 33599, 4724, 17182, 23032, 1829, 3555, 20666, 2304, 25720, 8032, 9307, 13672, 1829, 39182, 11296, 4032, 16490, 1211, 33546, 8315, 7251, 3555, 4587, 7578, 8032, 47302, 4032, 36520, 8315, 5296, 2655, 5172, 46958, 1211, 12602, 4587, 2304, 568, 45, 30767, 16373, 3215, 36764, 24401, 43242, 2423, 1783], "avg_logprob": -0.3245811953987043, "compression_ratio": 1.696808510638298, "no_speech_prob": 0.0, "words": [{"start": 2176.89, "end": 2177.95, "word": "بدا", "probability": 0.22698974609375}, {"start": 2177.95, "end": 2178.87, "word": " أحسن", "probability": 0.6566162109375}, {"start": 2178.87, "end": 2180.23, "word": " التفاضل", "probability": 0.83697509765625}, {"start": 2180.23, "end": 2181.21, "word": " رقم", "probability": 0.7855631510416666}, {"start": 2181.21, "end": 2182.45, "word": " 2N", "probability": 0.701416015625}, {"start": 2182.45, "end": 2183.49, "word": " عند", "probability": 0.74755859375}, {"start": 2183.49, "end": 2183.81, "word": " الـ", "probability": 0.6009521484375}, {"start": 2183.81, "end": 2184.09, "word": " Zero", "probability": 0.259521484375}, {"start": 2184.09, "end": 2185.01, "word": " يبقى", "probability": 0.8427734375}, {"start": 2185.01, "end": 2185.35, "word": " هذا", "probability": 0.75537109375}, {"start": 2185.35, "end": 2185.79, "word": " بده", "probability": 0.3568115234375}, {"start": 2185.79, "end": 2186.43, "word": " يطلع", "probability": 0.9483642578125}, {"start": 2186.43, "end": 2187.21, "word": " سالب", "probability": 0.696044921875}, {"start": 2187.21, "end": 2187.77, "word": " واحد", "probability": 0.93115234375}, {"start": 2187.77, "end": 2188.29, "word": " أس", "probability": 0.667236328125}, {"start": 2188.29, "end": 2188.77, "word": " N", "probability": 0.5791015625}, {"start": 2188.77, "end": 2189.37, "word": " في", "probability": 0.86083984375}, {"start": 2189.37, "end": 2189.53, "word": " ال", "probability": 0.415283203125}, {"start": 2189.53, "end": 2189.85, "word": " sign", "probability": 0.2041015625}, {"start": 2189.85, "end": 2190.15, "word": " ال", "probability": 0.468017578125}, {"start": 2190.15, "end": 2190.47, "word": " Zero", "probability": 0.454833984375}, {"start": 2190.47, "end": 2190.63, "word": " اللي", "probability": 0.907470703125}, {"start": 2190.63, "end": 2190.77, "word": " هو", "probability": 0.970703125}, {"start": 2190.77, "end": 2191.61, "word": " بجداش", "probability": 0.59637451171875}, {"start": 2191.61, "end": 2192.45, "word": " ب", "probability": 0.44384765625}, {"start": 2192.45, "end": 2192.97, "word": " Zero", "probability": 0.6572265625}, {"start": 2192.97, "end": 2193.65, "word": " طيب", "probability": 0.8160807291666666}, {"start": 2193.65, "end": 2194.19, "word": " بالمرة", "probability": 0.6795247395833334}, {"start": 2194.19, "end": 2194.61, "word": " هات", "probability": 0.795654296875}, {"start": 2194.61, "end": 2194.83, "word": " اللي", "probability": 0.913818359375}, {"start": 2194.83, "end": 2195.31, "word": " بعدها", "probability": 0.935791015625}, {"start": 2195.31, "end": 2195.43, "word": " و", "probability": 0.98583984375}, {"start": 2195.43, "end": 2196.09, "word": " خلاصنا", "probability": 0.8333740234375}, {"start": 2196.09, "end": 2196.87, "word": " يبقى", "probability": 0.953369140625}, {"start": 2196.87, "end": 2197.13, "word": " هاي", "probability": 0.6004638671875}, {"start": 2197.13, "end": 2197.69, "word": " وصلنا", "probability": 0.9765625}, {"start": 2197.69, "end": 2198.59, "word": " لتفاضل", "probability": 0.85751953125}, {"start": 2198.59, "end": 2199.19, "word": " رقم", "probability": 0.9951171875}, {"start": 2199.19, "end": 2200.45, "word": " 2N", "probability": 0.9404296875}, {"start": 2200.45, "end": 2201.61, "word": " زائد", "probability": 0.8400065104166666}, {"start": 2201.61, "end": 2202.21, "word": " واحد", "probability": 0.898193359375}, {"start": 2202.21, "end": 2202.57, "word": " عند", "probability": 0.97802734375}, {"start": 2202.57, "end": 2202.83, "word": " ال", "probability": 0.890625}, {"start": 2202.83, "end": 2203.15, "word": " X", "probability": 0.8837890625}], "temperature": 1.0}, {"id": 95, "seek": 223192, "start": 2204.55, "end": 2231.93, "text": "يبقى هذه مشتقات فردية كلها وبعدها المشتقة الفردية cosine cosine cosine مع الخلاف الإشارة يبقى هاي cosine ال X وهي سالب واحد to the power N وبعدها نشوف هل الكلام هذا صحيح ولا لا لو كانت N ب Zero يبقى هذا بطيلة مضال واحد تعني المشتقة الأولى", "tokens": [1829, 3555, 4587, 7578, 29538, 37893, 2655, 4587, 9307, 6156, 2288, 3215, 10632, 28242, 11296, 46599, 22488, 11296, 9673, 8592, 2655, 28671, 27188, 2288, 3215, 10632, 23565, 23565, 23565, 20449, 33962, 15040, 5172, 33688, 8592, 9640, 3660, 7251, 3555, 4587, 7578, 8032, 47302, 23565, 2423, 1783, 37037, 1829, 8608, 6027, 3555, 36764, 24401, 281, 264, 1347, 426, 46599, 22488, 11296, 8717, 8592, 38688, 8032, 1211, 2423, 28820, 10943, 23758, 20328, 5016, 1829, 5016, 49429, 20193, 45164, 25961, 2655, 426, 4724, 17182, 7251, 3555, 4587, 7578, 23758, 4724, 9566, 26895, 3660, 3714, 11242, 6027, 36764, 24401, 37279, 22653, 9673, 8592, 2655, 28671, 16247, 12610, 7578], "avg_logprob": -0.2069940476190476, "compression_ratio": 1.768181818181818, "no_speech_prob": 0.0, "words": [{"start": 2204.55, "end": 2204.93, "word": "يبقى", "probability": 0.82666015625}, {"start": 2204.93, "end": 2205.13, "word": " هذه", "probability": 0.76171875}, {"start": 2205.13, "end": 2205.89, "word": " مشتقات", "probability": 0.811767578125}, {"start": 2205.89, "end": 2208.13, "word": " فردية", "probability": 0.9454345703125}, {"start": 2208.13, "end": 2208.93, "word": " كلها", "probability": 0.887451171875}, {"start": 2208.93, "end": 2209.57, "word": " وبعدها", "probability": 0.56982421875}, {"start": 2209.57, "end": 2210.13, "word": " المشتقة", "probability": 0.8612060546875}, {"start": 2210.13, "end": 2210.63, "word": " الفردية", "probability": 0.9755859375}, {"start": 2210.63, "end": 2211.33, "word": " cosine", "probability": 0.4140625}, {"start": 2211.33, "end": 2212.27, "word": " cosine", "probability": 0.283203125}, {"start": 2212.27, "end": 2213.09, "word": " cosine", "probability": 0.402587890625}, {"start": 2213.09, "end": 2213.29, "word": " مع", "probability": 0.92529296875}, {"start": 2213.29, "end": 2213.81, "word": " الخلاف", "probability": 0.9244791666666666}, {"start": 2213.81, "end": 2214.49, "word": " الإشارة", "probability": 0.9342041015625}, {"start": 2214.49, "end": 2215.41, "word": " يبقى", "probability": 0.96630859375}, {"start": 2215.41, "end": 2215.69, "word": " هاي", "probability": 0.544677734375}, {"start": 2215.69, "end": 2216.55, "word": " cosine", "probability": 0.84765625}, {"start": 2216.55, "end": 2217.17, "word": " ال", "probability": 0.51318359375}, {"start": 2217.17, "end": 2217.47, "word": " X", "probability": 0.52783203125}, {"start": 2217.47, "end": 2218.25, "word": " وهي", "probability": 0.820068359375}, {"start": 2218.25, "end": 2218.81, "word": " سالب", "probability": 0.7874348958333334}, {"start": 2218.81, "end": 2219.31, "word": " واحد", "probability": 0.971435546875}, {"start": 2219.31, "end": 2219.53, "word": " to", "probability": 0.92822265625}, {"start": 2219.53, "end": 2219.79, "word": " the", "probability": 0.89453125}, {"start": 2219.79, "end": 2220.37, "word": " power", "probability": 0.89599609375}, {"start": 2220.37, "end": 2220.97, "word": " N", "probability": 0.7421875}, {"start": 2220.97, "end": 2221.79, "word": " وبعدها", "probability": 0.7975260416666666}, {"start": 2221.79, "end": 2222.13, "word": " نشوف", "probability": 0.8974609375}, {"start": 2222.13, "end": 2222.33, "word": " هل", "probability": 0.8955078125}, {"start": 2222.33, "end": 2222.75, "word": " الكلام", "probability": 0.9296875}, {"start": 2222.75, "end": 2223.01, "word": " هذا", "probability": 0.712890625}, {"start": 2223.01, "end": 2223.55, "word": " صحيح", "probability": 0.9930419921875}, {"start": 2223.55, "end": 2223.79, "word": " ولا", "probability": 0.935546875}, {"start": 2223.79, "end": 2224.05, "word": " لا", "probability": 0.59912109375}, {"start": 2224.05, "end": 2224.85, "word": " لو", "probability": 0.65869140625}, {"start": 2224.85, "end": 2225.49, "word": " كانت", "probability": 0.960205078125}, {"start": 2225.49, "end": 2225.89, "word": " N", "probability": 0.78857421875}, {"start": 2225.89, "end": 2226.17, "word": " ب", "probability": 0.82080078125}, {"start": 2226.17, "end": 2226.77, "word": " Zero", "probability": 0.3984375}, {"start": 2226.77, "end": 2228.05, "word": " يبقى", "probability": 0.98583984375}, {"start": 2228.05, "end": 2228.53, "word": " هذا", "probability": 0.8837890625}, {"start": 2228.53, "end": 2229.19, "word": " بطيلة", "probability": 0.691650390625}, {"start": 2229.19, "end": 2229.51, "word": " مضال", "probability": 0.8533528645833334}, {"start": 2229.51, "end": 2229.89, "word": " واحد", "probability": 0.97216796875}, {"start": 2229.89, "end": 2230.27, "word": " تعني", "probability": 0.822021484375}, {"start": 2230.27, "end": 2231.19, "word": " المشتقة", "probability": 0.9503173828125}, {"start": 2231.19, "end": 2231.93, "word": " الأولى", "probability": 0.9710286458333334}], "temperature": 1.0}, {"id": 96, "seek": 226106, "start": 2232.12, "end": 2261.06, "text": "لو كان هذا بالزيرو يبقى واحد فيه cosine وcos x يبقى المشتقة الأولى بcos x سليم مائة بالمائة بعد زيرو حط الواحد يصير اتنين في واحد باتنين وواحد يبقى المشتقة الرقم تلاتة المشتقة الرقم تلاتة بداها يحط سالب واحد أس واحد يبقى سالب cosine x المشتقة التالتة سالب cosine x and so on يبقى شغلنا سليم مائة بالمائة", "tokens": [1211, 2407, 25961, 23758, 20666, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 36764, 24401, 8978, 3224, 23565, 4032, 6877, 2031, 7251, 3555, 4587, 7578, 9673, 8592, 2655, 28671, 16247, 12610, 7578, 4724, 6877, 2031, 8608, 20292, 2304, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 39182, 30767, 13546, 2407, 11331, 9566, 2423, 14407, 24401, 7251, 9381, 13546, 1975, 2655, 1863, 9957, 8978, 36764, 24401, 4724, 9307, 1863, 9957, 4032, 14407, 24401, 7251, 3555, 4587, 7578, 9673, 8592, 2655, 28671, 34892, 4587, 2304, 6055, 1211, 9307, 3660, 9673, 8592, 2655, 28671, 34892, 4587, 2304, 6055, 1211, 9307, 3660, 4724, 28259, 11296, 7251, 5016, 9566, 8608, 6027, 3555, 36764, 24401, 5551, 3794, 36764, 24401, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 23565, 2031, 9673, 8592, 2655, 28671, 16712, 6027, 2655, 3660, 8608, 6027, 3555, 23565, 2031, 293, 370, 322, 7251, 3555, 4587, 7578, 13412, 17082, 1211, 8315, 8608, 20292, 2304, 3714, 16373, 3660, 20666, 2304, 16373, 3660], "avg_logprob": -0.20393145699654855, "compression_ratio": 2.4131455399061035, "no_speech_prob": 0.0, "words": [{"start": 2232.12, "end": 2232.68, "word": "لو", "probability": 0.62042236328125}, {"start": 2232.68, "end": 2232.98, "word": " كان", "probability": 0.92822265625}, {"start": 2232.98, "end": 2233.36, "word": " هذا", "probability": 0.7822265625}, {"start": 2233.36, "end": 2233.9, "word": " بالزيرو", "probability": 0.441650390625}, {"start": 2233.9, "end": 2234.2, "word": " يبقى", "probability": 0.8885498046875}, {"start": 2234.2, "end": 2234.68, "word": " واحد", "probability": 0.888916015625}, {"start": 2234.68, "end": 2235.0, "word": " فيه", "probability": 0.55548095703125}, {"start": 2235.0, "end": 2235.4, "word": " cosine", "probability": 0.6337890625}, {"start": 2235.4, "end": 2235.9, "word": " وcos", "probability": 0.5069580078125}, {"start": 2235.9, "end": 2236.54, "word": " x", "probability": 0.61181640625}, {"start": 2236.54, "end": 2237.14, "word": " يبقى", "probability": 0.93603515625}, {"start": 2237.14, "end": 2237.68, "word": " المشتقة", "probability": 0.87890625}, {"start": 2237.68, "end": 2238.0, "word": " الأولى", "probability": 0.7471516927083334}, {"start": 2238.0, "end": 2238.4, "word": " بcos", "probability": 0.613037109375}, {"start": 2238.4, "end": 2238.76, "word": " x", "probability": 0.95166015625}, {"start": 2238.76, "end": 2239.16, "word": " سليم", "probability": 0.8806966145833334}, {"start": 2239.16, "end": 2239.44, "word": " مائة", "probability": 0.7771809895833334}, {"start": 2239.44, "end": 2240.2, "word": " بالمائة", "probability": 0.9324951171875}, {"start": 2240.2, "end": 2240.9, "word": " بعد", "probability": 0.859375}, {"start": 2240.9, "end": 2241.38, "word": " زيرو", "probability": 0.7452799479166666}, {"start": 2241.38, "end": 2241.82, "word": " حط", "probability": 0.610595703125}, {"start": 2241.82, "end": 2242.42, "word": " الواحد", "probability": 0.9283854166666666}, {"start": 2242.42, "end": 2242.68, "word": " يصير", "probability": 0.5933430989583334}, {"start": 2242.68, "end": 2242.94, "word": " اتنين", "probability": 0.970458984375}, {"start": 2242.94, "end": 2243.06, "word": " في", "probability": 0.7802734375}, {"start": 2243.06, "end": 2243.56, "word": " واحد", "probability": 0.95849609375}, {"start": 2243.56, "end": 2244.62, "word": " باتنين", "probability": 0.7608642578125}, {"start": 2244.62, "end": 2245.24, "word": " وواحد", "probability": 0.8294270833333334}, {"start": 2245.24, "end": 2246.1, "word": " يبقى", "probability": 0.9879150390625}, {"start": 2246.1, "end": 2246.68, "word": " المشتقة", "probability": 0.9822998046875}, {"start": 2246.68, "end": 2247.58, "word": " الرقم", "probability": 0.9825846354166666}, {"start": 2247.58, "end": 2248.46, "word": " تلاتة", "probability": 0.9373779296875}, {"start": 2248.46, "end": 2249.5, "word": " المشتقة", "probability": 0.9627685546875}, {"start": 2249.5, "end": 2250.04, "word": " الرقم", "probability": 0.9903971354166666}, {"start": 2250.04, "end": 2250.48, "word": " تلاتة", "probability": 0.9854736328125}, {"start": 2250.48, "end": 2250.86, "word": " بداها", "probability": 0.4049479166666667}, {"start": 2250.86, "end": 2251.38, "word": " يحط", "probability": 0.7386881510416666}, {"start": 2251.38, "end": 2251.88, "word": " سالب", "probability": 0.7078450520833334}, {"start": 2251.88, "end": 2252.46, "word": " واحد", "probability": 0.98876953125}, {"start": 2252.46, "end": 2252.94, "word": " أس", "probability": 0.7032470703125}, {"start": 2252.94, "end": 2253.46, "word": " واحد", "probability": 0.98876953125}, {"start": 2253.46, "end": 2254.34, "word": " يبقى", "probability": 0.984375}, {"start": 2254.34, "end": 2254.88, "word": " سالب", "probability": 0.9539388020833334}, {"start": 2254.88, "end": 2255.4, "word": " cosine", "probability": 0.65380859375}, {"start": 2255.4, "end": 2255.74, "word": " x", "probability": 0.8896484375}, {"start": 2255.74, "end": 2256.46, "word": " المشتقة", "probability": 0.9783935546875}, {"start": 2256.46, "end": 2257.02, "word": " التالتة", "probability": 0.9464111328125}, {"start": 2257.02, "end": 2257.38, "word": " سالب", "probability": 0.9440104166666666}, {"start": 2257.38, "end": 2257.76, "word": " cosine", "probability": 0.92431640625}, {"start": 2257.76, "end": 2258.14, "word": " x", "probability": 0.958984375}, {"start": 2258.14, "end": 2258.7, "word": " and", "probability": 0.794921875}, {"start": 2258.7, "end": 2258.98, "word": " so", "probability": 0.92822265625}, {"start": 2258.98, "end": 2259.22, "word": " on", "probability": 0.96044921875}, {"start": 2259.22, "end": 2259.46, "word": " يبقى", "probability": 0.98291015625}, {"start": 2259.46, "end": 2259.96, "word": " شغلنا", "probability": 0.859130859375}, {"start": 2259.96, "end": 2260.34, "word": " سليم", "probability": 0.9869791666666666}, {"start": 2260.34, "end": 2260.58, "word": " مائة", "probability": 0.9332682291666666}, {"start": 2260.58, "end": 2261.06, "word": " بالمائة", "probability": 0.978759765625}], "temperature": 1.0}, {"id": 97, "seek": 228177, "start": 2261.53, "end": 2281.77, "text": "بدروح احسب تفاضل رقم 2n زائد 1 عند ال zero يبقى هاي سالب واحد to the power n cosine zero اللي هو بواحد يبقى النتيجة سالب واحد to the power n يبقى شباب الصمشي لمن اكتبوا", "tokens": [3555, 3215, 2288, 2407, 5016, 1975, 5016, 35457, 6055, 5172, 46958, 1211, 12602, 4587, 2304, 568, 77, 30767, 16373, 3215, 502, 43242, 2423, 4018, 7251, 3555, 4587, 7578, 8032, 47302, 8608, 6027, 3555, 36764, 24401, 281, 264, 1347, 297, 23565, 4018, 13672, 1829, 31439, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 8608, 6027, 3555, 36764, 24401, 281, 264, 1347, 297, 7251, 3555, 4587, 7578, 13412, 3555, 16758, 31767, 2304, 8592, 1829, 5296, 27842, 1975, 4117, 2655, 3555, 14407], "avg_logprob": -0.21893825767988181, "compression_ratio": 1.607361963190184, "no_speech_prob": 0.0, "words": [{"start": 2261.53, "end": 2262.21, "word": "بدروح", "probability": 0.4978515625}, {"start": 2262.21, "end": 2262.83, "word": " احسب", "probability": 0.8517252604166666}, {"start": 2262.83, "end": 2263.61, "word": " تفاضل", "probability": 0.885009765625}, {"start": 2263.61, "end": 2264.13, "word": " رقم", "probability": 0.9475911458333334}, {"start": 2264.13, "end": 2265.19, "word": " 2n", "probability": 0.50054931640625}, {"start": 2265.19, "end": 2265.97, "word": " زائد", "probability": 0.7049153645833334}, {"start": 2265.97, "end": 2266.39, "word": " 1", "probability": 0.87060546875}, {"start": 2266.39, "end": 2267.27, "word": " عند", "probability": 0.86865234375}, {"start": 2267.27, "end": 2267.45, "word": " ال", "probability": 0.83544921875}, {"start": 2267.45, "end": 2267.67, "word": " zero", "probability": 0.176025390625}, {"start": 2267.67, "end": 2268.01, "word": " يبقى", "probability": 0.92919921875}, {"start": 2268.01, "end": 2268.23, "word": " هاي", "probability": 0.5040283203125}, {"start": 2268.23, "end": 2268.73, "word": " سالب", "probability": 0.8308919270833334}, {"start": 2268.73, "end": 2269.29, "word": " واحد", "probability": 0.903076171875}, {"start": 2269.29, "end": 2269.49, "word": " to", "probability": 0.95263671875}, {"start": 2269.49, "end": 2269.71, "word": " the", "probability": 0.8818359375}, {"start": 2269.71, "end": 2270.19, "word": " power", "probability": 0.89990234375}, {"start": 2270.19, "end": 2270.67, "word": " n", "probability": 0.7998046875}, {"start": 2270.67, "end": 2271.57, "word": " cosine", "probability": 0.59375}, {"start": 2271.57, "end": 2272.31, "word": " zero", "probability": 0.57666015625}, {"start": 2272.31, "end": 2272.49, "word": " اللي", "probability": 0.874755859375}, {"start": 2272.49, "end": 2272.65, "word": " هو", "probability": 0.98828125}, {"start": 2272.65, "end": 2273.27, "word": " بواحد", "probability": 0.8681640625}, {"start": 2273.27, "end": 2274.03, "word": " يبقى", "probability": 0.9700927734375}, {"start": 2274.03, "end": 2274.81, "word": " النتيجة", "probability": 0.9454345703125}, {"start": 2274.81, "end": 2275.59, "word": " سالب", "probability": 0.9684244791666666}, {"start": 2275.59, "end": 2276.25, "word": " واحد", "probability": 0.988037109375}, {"start": 2276.25, "end": 2276.57, "word": " to", "probability": 0.984375}, {"start": 2276.57, "end": 2276.85, "word": " the", "probability": 0.93212890625}, {"start": 2276.85, "end": 2277.53, "word": " power", "probability": 0.88134765625}, {"start": 2277.53, "end": 2278.45, "word": " n", "probability": 0.89599609375}, {"start": 2278.45, "end": 2279.55, "word": " يبقى", "probability": 0.9208984375}, {"start": 2279.55, "end": 2280.01, "word": " شباب", "probability": 0.9016927083333334}, {"start": 2280.01, "end": 2280.75, "word": " الصمشي", "probability": 0.763916015625}, {"start": 2280.75, "end": 2281.03, "word": " لمن", "probability": 0.869873046875}, {"start": 2281.03, "end": 2281.77, "word": " اكتبوا", "probability": 0.94267578125}], "temperature": 1.0}, {"id": 98, "seek": 229628, "start": 2282.02, "end": 2296.28, "text": "بديش يا يوجه فاندل N وانما هيضل غلط لوين؟ للي اتنين N وللي اتنين N زائد واحد طب نشوف كيف بنحسب هالحسبة تبعتنا هذه", "tokens": [3555, 16254, 8592, 35186, 7251, 29245, 3224, 6156, 7649, 3215, 1211, 426, 4032, 7649, 15042, 39896, 11242, 1211, 32771, 1211, 9566, 5296, 2407, 9957, 22807, 5296, 20292, 1975, 2655, 1863, 9957, 426, 35525, 20292, 1975, 2655, 1863, 9957, 426, 30767, 16373, 3215, 36764, 24401, 23032, 3555, 8717, 8592, 38688, 9122, 33911, 44945, 5016, 35457, 8032, 6027, 5016, 35457, 3660, 6055, 3555, 34268, 8315, 29538], "avg_logprob": -0.3747596153846154, "compression_ratio": 1.5625, "no_speech_prob": 0.0, "words": [{"start": 2282.02, "end": 2282.72, "word": "بديش", "probability": 0.5843505859375}, {"start": 2282.72, "end": 2282.94, "word": " يا", "probability": 0.2080078125}, {"start": 2282.94, "end": 2283.4, "word": " يوجه", "probability": 0.6407877604166666}, {"start": 2283.4, "end": 2284.26, "word": " فاندل", "probability": 0.802978515625}, {"start": 2284.26, "end": 2284.72, "word": " N", "probability": 0.3798828125}, {"start": 2284.72, "end": 2285.72, "word": " وانما", "probability": 0.828125}, {"start": 2285.72, "end": 2286.28, "word": " هيضل", "probability": 0.5762532552083334}, {"start": 2286.28, "end": 2286.72, "word": " غلط", "probability": 0.84521484375}, {"start": 2286.72, "end": 2287.96, "word": " لوين؟", "probability": 0.52349853515625}, {"start": 2287.96, "end": 2288.34, "word": " للي", "probability": 0.44024658203125}, {"start": 2288.34, "end": 2289.06, "word": " اتنين", "probability": 0.8651123046875}, {"start": 2289.06, "end": 2289.44, "word": " N", "probability": 0.890625}, {"start": 2289.44, "end": 2289.88, "word": " وللي", "probability": 0.623779296875}, {"start": 2289.88, "end": 2290.6, "word": " اتنين", "probability": 0.9866943359375}, {"start": 2290.6, "end": 2291.24, "word": " N", "probability": 0.53173828125}, {"start": 2291.24, "end": 2292.26, "word": " زائد", "probability": 0.8199869791666666}, {"start": 2292.26, "end": 2292.82, "word": " واحد", "probability": 0.90869140625}, {"start": 2292.82, "end": 2293.42, "word": " طب", "probability": 0.718017578125}, {"start": 2293.42, "end": 2293.9, "word": " نشوف", "probability": 0.8605143229166666}, {"start": 2293.9, "end": 2294.16, "word": " كيف", "probability": 0.98583984375}, {"start": 2294.16, "end": 2294.76, "word": " بنحسب", "probability": 0.807373046875}, {"start": 2294.76, "end": 2295.32, "word": " هالحسبة", "probability": 0.67890625}, {"start": 2295.32, "end": 2295.98, "word": " تبعتنا", "probability": 0.8878173828125}, {"start": 2295.98, "end": 2296.28, "word": " هذه", "probability": 0.4521484375}], "temperature": 1.0}, {"id": 99, "seek": 232842, "start": 2311.59, "end": 2328.43, "text": "يبقى بنرجع هنا ال f of x يساوي summation من n equal zero to infinity للتفاضل رقم n عند ال zero ل x to the power n على n factorial ال f of zero", "tokens": [1829, 3555, 4587, 7578, 44945, 47341, 3615, 34105, 2423, 283, 295, 2031, 7251, 3794, 995, 45865, 28811, 9154, 297, 2681, 4018, 281, 13202, 24976, 2655, 5172, 46958, 1211, 12602, 4587, 2304, 297, 43242, 2423, 4018, 5296, 2031, 281, 264, 1347, 297, 15844, 297, 36916, 2423, 283, 295, 4018], "avg_logprob": -0.2845982142857143, "compression_ratio": 1.251700680272109, "no_speech_prob": 0.0, "words": [{"start": 2311.59, "end": 2311.97, "word": "يبقى", "probability": 0.711639404296875}, {"start": 2311.97, "end": 2312.45, "word": " بنرجع", "probability": 0.7425130208333334}, {"start": 2312.45, "end": 2312.79, "word": " هنا", "probability": 0.2161865234375}, {"start": 2312.79, "end": 2313.33, "word": " ال", "probability": 0.4501953125}, {"start": 2313.33, "end": 2313.63, "word": " f", "probability": 0.253173828125}, {"start": 2313.63, "end": 2313.91, "word": " of", "probability": 0.2447509765625}, {"start": 2313.91, "end": 2314.31, "word": " x", "probability": 0.93017578125}, {"start": 2314.31, "end": 2315.47, "word": " يساوي", "probability": 0.8756103515625}, {"start": 2315.47, "end": 2316.79, "word": " summation", "probability": 0.6142578125}, {"start": 2316.79, "end": 2317.43, "word": " من", "probability": 0.9365234375}, {"start": 2317.43, "end": 2317.75, "word": " n", "probability": 0.69580078125}, {"start": 2317.75, "end": 2318.29, "word": " equal", "probability": 0.54052734375}, {"start": 2318.29, "end": 2318.73, "word": " zero", "probability": 0.5419921875}, {"start": 2318.73, "end": 2318.97, "word": " to", "probability": 0.97119140625}, {"start": 2318.97, "end": 2319.67, "word": " infinity", "probability": 0.8779296875}, {"start": 2319.67, "end": 2321.11, "word": " للتفاضل", "probability": 0.88671875}, {"start": 2321.11, "end": 2321.85, "word": " رقم", "probability": 0.9851888020833334}, {"start": 2321.85, "end": 2322.27, "word": " n", "probability": 0.8662109375}, {"start": 2322.27, "end": 2322.75, "word": " عند", "probability": 0.9736328125}, {"start": 2322.75, "end": 2322.99, "word": " ال", "probability": 0.83837890625}, {"start": 2322.99, "end": 2323.33, "word": " zero", "probability": 0.75341796875}, {"start": 2323.33, "end": 2323.53, "word": " ل", "probability": 0.7919921875}, {"start": 2323.53, "end": 2323.83, "word": " x", "probability": 0.62158203125}, {"start": 2323.83, "end": 2324.05, "word": " to", "probability": 0.962890625}, {"start": 2324.05, "end": 2324.31, "word": " the", "probability": 0.89697265625}, {"start": 2324.31, "end": 2324.61, "word": " power", "probability": 0.8837890625}, {"start": 2324.61, "end": 2325.03, "word": " n", "probability": 0.84423828125}, {"start": 2325.03, "end": 2325.31, "word": " على", "probability": 0.71240234375}, {"start": 2325.31, "end": 2325.67, "word": " n", "probability": 0.890625}, {"start": 2325.67, "end": 2326.43, "word": " factorial", "probability": 0.77880859375}, {"start": 2326.43, "end": 2327.23, "word": " ال", "probability": 0.4287109375}, {"start": 2327.23, "end": 2327.67, "word": " f", "probability": 0.71337890625}, {"start": 2327.67, "end": 2328.01, "word": " of", "probability": 0.96923828125}, {"start": 2328.01, "end": 2328.43, "word": " zero", "probability": 0.859375}], "temperature": 1.0}, {"id": 100, "seek": 234652, "start": 2328.66, "end": 2346.52, "text": "زاد f prime of zero x على واحد factorial زاد ال f double prime of zero x تربية على اتنين factorial زاد التفاضل التالتة ان ال zero x تكيب على تلاتة factorial زاد التفاضل الرابع", "tokens": [11622, 18513, 283, 5835, 295, 4018, 2031, 15844, 36764, 24401, 36916, 30767, 18513, 2423, 283, 3834, 5835, 295, 4018, 2031, 6055, 25513, 10632, 15844, 1975, 2655, 1863, 9957, 36916, 30767, 18513, 16712, 5172, 46958, 1211, 16712, 6027, 2655, 3660, 16472, 2423, 4018, 2031, 6055, 4117, 1829, 3555, 15844, 6055, 1211, 9307, 3660, 36916, 30767, 18513, 16712, 5172, 46958, 1211, 34892, 16758, 3615], "avg_logprob": -0.17658729449151053, "compression_ratio": 1.826086956521739, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2328.66, "end": 2329.22, "word": "زاد", "probability": 0.780517578125}, {"start": 2329.22, "end": 2329.66, "word": " f", "probability": 0.346435546875}, {"start": 2329.66, "end": 2330.26, "word": " prime", "probability": 0.64501953125}, {"start": 2330.26, "end": 2330.68, "word": " of", "probability": 0.93310546875}, {"start": 2330.68, "end": 2331.04, "word": " zero", "probability": 0.281494140625}, {"start": 2331.04, "end": 2331.42, "word": " x", "probability": 0.9697265625}, {"start": 2331.42, "end": 2331.66, "word": " على", "probability": 0.59814453125}, {"start": 2331.66, "end": 2332.04, "word": " واحد", "probability": 0.958984375}, {"start": 2332.04, "end": 2332.78, "word": " factorial", "probability": 0.63720703125}, {"start": 2332.78, "end": 2333.72, "word": " زاد", "probability": 0.885986328125}, {"start": 2333.72, "end": 2333.88, "word": " ال", "probability": 0.424560546875}, {"start": 2333.88, "end": 2334.2, "word": " f", "probability": 0.666015625}, {"start": 2334.2, "end": 2334.62, "word": " double", "probability": 0.814453125}, {"start": 2334.62, "end": 2335.1, "word": " prime", "probability": 0.90966796875}, {"start": 2335.1, "end": 2335.4, "word": " of", "probability": 0.9697265625}, {"start": 2335.4, "end": 2335.78, "word": " zero", "probability": 0.84619140625}, {"start": 2335.78, "end": 2336.16, "word": " x", "probability": 0.990234375}, {"start": 2336.16, "end": 2336.6, "word": " تربية", "probability": 0.7506510416666666}, {"start": 2336.6, "end": 2336.82, "word": " على", "probability": 0.8583984375}, {"start": 2336.82, "end": 2337.28, "word": " اتنين", "probability": 0.954833984375}, {"start": 2337.28, "end": 2338.02, "word": " factorial", "probability": 0.802734375}, {"start": 2338.02, "end": 2339.02, "word": " زاد", "probability": 0.96630859375}, {"start": 2339.02, "end": 2339.78, "word": " التفاضل", "probability": 0.96533203125}, {"start": 2339.78, "end": 2340.44, "word": " التالتة", "probability": 0.8843994140625}, {"start": 2340.44, "end": 2340.6, "word": " ان", "probability": 0.375732421875}, {"start": 2340.6, "end": 2340.8, "word": " ال", "probability": 0.748046875}, {"start": 2340.8, "end": 2341.1, "word": " zero", "probability": 0.83642578125}, {"start": 2341.1, "end": 2341.46, "word": " x", "probability": 0.98046875}, {"start": 2341.46, "end": 2341.96, "word": " تكيب", "probability": 0.903564453125}, {"start": 2341.96, "end": 2342.16, "word": " على", "probability": 0.9375}, {"start": 2342.16, "end": 2342.78, "word": " تلاتة", "probability": 0.94189453125}, {"start": 2342.78, "end": 2343.52, "word": " factorial", "probability": 0.81982421875}, {"start": 2343.52, "end": 2344.48, "word": " زاد", "probability": 0.96875}, {"start": 2344.48, "end": 2345.34, "word": " التفاضل", "probability": 0.9849853515625}, {"start": 2345.34, "end": 2346.52, "word": " الرابع", "probability": 0.9905598958333334}], "temperature": 1.0}, {"id": 101, "seek": 236112, "start": 2347.06, "end": 2361.12, "text": "عند الـ 0x أُس 4 على 4 factorial زاد التفاضل رقم 5 عند الـ 0x to the power 5 على 5 factorial زائد زائد", "tokens": [3615, 41260, 2423, 39184, 1958, 87, 5551, 10859, 3794, 1017, 15844, 1017, 36916, 30767, 18513, 16712, 5172, 46958, 1211, 12602, 4587, 2304, 1025, 43242, 2423, 39184, 1958, 87, 281, 264, 1347, 1025, 15844, 1025, 36916, 30767, 16373, 3215, 30767, 16373, 3215], "avg_logprob": -0.23642113095238096, "compression_ratio": 1.3584905660377358, "no_speech_prob": 0.0, "words": [{"start": 2347.06, "end": 2348.08, "word": "عند", "probability": 0.72021484375}, {"start": 2348.08, "end": 2348.66, "word": " الـ", "probability": 0.545166015625}, {"start": 2348.66, "end": 2349.56, "word": " 0x", "probability": 0.59814453125}, {"start": 2349.56, "end": 2349.94, "word": " أُس", "probability": 0.5702311197916666}, {"start": 2349.94, "end": 2350.34, "word": " 4", "probability": 0.82568359375}, {"start": 2350.34, "end": 2350.64, "word": " على", "probability": 0.4580078125}, {"start": 2350.64, "end": 2351.08, "word": " 4", "probability": 0.9638671875}, {"start": 2351.08, "end": 2351.94, "word": " factorial", "probability": 0.53271484375}, {"start": 2351.94, "end": 2352.8, "word": " زاد", "probability": 0.783203125}, {"start": 2352.8, "end": 2353.52, "word": " التفاضل", "probability": 0.9140625}, {"start": 2353.52, "end": 2354.16, "word": " رقم", "probability": 0.9827473958333334}, {"start": 2354.16, "end": 2354.72, "word": " 5", "probability": 0.845703125}, {"start": 2354.72, "end": 2355.16, "word": " عند", "probability": 0.9140625}, {"start": 2355.16, "end": 2355.52, "word": " الـ", "probability": 0.7021484375}, {"start": 2355.52, "end": 2356.16, "word": " 0x", "probability": 0.89697265625}, {"start": 2356.16, "end": 2356.36, "word": " to", "probability": 0.70458984375}, {"start": 2356.36, "end": 2356.54, "word": " the", "probability": 0.92333984375}, {"start": 2356.54, "end": 2356.88, "word": " power", "probability": 0.89306640625}, {"start": 2356.88, "end": 2357.28, "word": " 5", "probability": 0.83203125}, {"start": 2357.28, "end": 2357.64, "word": " على", "probability": 0.7490234375}, {"start": 2357.64, "end": 2358.06, "word": " 5", "probability": 0.98388671875}, {"start": 2358.06, "end": 2358.94, "word": " factorial", "probability": 0.88427734375}, {"start": 2358.94, "end": 2360.34, "word": " زائد", "probability": 0.75390625}, {"start": 2360.34, "end": 2361.12, "word": " زائد", "probability": 0.9654947916666666}], "temperature": 1.0}, {"id": 102, "seek": 238142, "start": 2361.64, "end": 2381.42, "text": "مش هنقدر نقف عند ال N بنعرفها أشياء دي لكن هنبقى نمشي لغاية مين؟ ل 2N و ل 2N زائد 1 يبقى لغاية التفاضل رقم 2N عند ال 0 X to the power 2N", "tokens": [2304, 8592, 8032, 1863, 28543, 2288, 8717, 4587, 5172, 43242, 2423, 426, 44945, 3615, 28480, 11296, 5551, 8592, 1829, 16606, 11778, 1829, 44381, 8032, 1863, 3555, 4587, 7578, 8717, 2304, 8592, 1829, 5296, 17082, 995, 10632, 3714, 9957, 22807, 5296, 568, 45, 4032, 5296, 568, 45, 30767, 16373, 3215, 502, 7251, 3555, 4587, 7578, 5296, 17082, 995, 10632, 16712, 5172, 46958, 1211, 12602, 4587, 2304, 568, 45, 43242, 2423, 1958, 1783, 281, 264, 1347, 568, 45], "avg_logprob": -0.28429382033162304, "compression_ratio": 1.391025641025641, "no_speech_prob": 0.0, "words": [{"start": 2361.64, "end": 2362.04, "word": "مش", "probability": 0.5076904296875}, {"start": 2362.04, "end": 2362.56, "word": " هنقدر", "probability": 0.9071044921875}, {"start": 2362.56, "end": 2363.0, "word": " نقف", "probability": 0.6539713541666666}, {"start": 2363.0, "end": 2363.34, "word": " عند", "probability": 0.9775390625}, {"start": 2363.34, "end": 2363.56, "word": " ال", "probability": 0.8916015625}, {"start": 2363.56, "end": 2363.78, "word": " N", "probability": 0.385986328125}, {"start": 2363.78, "end": 2364.46, "word": " بنعرفها", "probability": 0.7109375}, {"start": 2364.46, "end": 2364.92, "word": " أشياء", "probability": 0.55401611328125}, {"start": 2364.92, "end": 2365.12, "word": " دي", "probability": 0.9287109375}, {"start": 2365.12, "end": 2365.54, "word": " لكن", "probability": 0.428466796875}, {"start": 2365.54, "end": 2366.0, "word": " هنبقى", "probability": 0.877734375}, {"start": 2366.0, "end": 2366.36, "word": " نمشي", "probability": 0.77178955078125}, {"start": 2366.36, "end": 2366.7, "word": " لغاية", "probability": 0.9443359375}, {"start": 2366.7, "end": 2367.66, "word": " مين؟", "probability": 0.5252278645833334}, {"start": 2367.66, "end": 2367.78, "word": " ل", "probability": 0.9072265625}, {"start": 2367.78, "end": 2368.64, "word": " 2N", "probability": 0.6473388671875}, {"start": 2368.64, "end": 2368.82, "word": " و", "probability": 0.693359375}, {"start": 2368.82, "end": 2368.92, "word": " ل", "probability": 0.33984375}, {"start": 2368.92, "end": 2370.08, "word": " 2N", "probability": 0.909423828125}, {"start": 2370.08, "end": 2370.82, "word": " زائد", "probability": 0.6929117838541666}, {"start": 2370.82, "end": 2371.34, "word": " 1", "probability": 0.87109375}, {"start": 2371.34, "end": 2372.14, "word": " يبقى", "probability": 0.9527587890625}, {"start": 2372.14, "end": 2372.54, "word": " لغاية", "probability": 0.9896240234375}, {"start": 2372.54, "end": 2373.32, "word": " التفاضل", "probability": 0.933349609375}, {"start": 2373.32, "end": 2374.06, "word": " رقم", "probability": 0.9718424479166666}, {"start": 2374.06, "end": 2375.78, "word": " 2N", "probability": 0.96875}, {"start": 2375.78, "end": 2378.08, "word": " عند", "probability": 0.94140625}, {"start": 2378.08, "end": 2378.36, "word": " ال", "probability": 0.744140625}, {"start": 2378.36, "end": 2378.82, "word": " 0", "probability": 0.525390625}, {"start": 2378.82, "end": 2379.54, "word": " X", "probability": 0.80859375}, {"start": 2379.54, "end": 2379.76, "word": " to", "probability": 0.4248046875}, {"start": 2379.76, "end": 2380.02, "word": " the", "probability": 0.92041015625}, {"start": 2380.02, "end": 2380.4, "word": " power", "probability": 0.83740234375}, {"start": 2380.4, "end": 2381.42, "word": " 2N", "probability": 0.945556640625}], "temperature": 1.0}, {"id": 103, "seek": 240641, "start": 2381.53, "end": 2406.41, "text": "على 2n factorial زاد التفاضل الرقم 2n plus 1 عند 0 x to the power 2n plus 1 على 2n plus 1 factorial زاد إلى آخرين الف of x عند اليمين صين ال x الف of zero بقداش", "tokens": [3615, 23942, 568, 77, 36916, 30767, 18513, 16712, 5172, 46958, 1211, 34892, 4587, 2304, 568, 77, 1804, 502, 43242, 1958, 2031, 281, 264, 1347, 568, 77, 1804, 502, 15844, 568, 77, 1804, 502, 36916, 30767, 18513, 30731, 19753, 34740, 9957, 27188, 295, 2031, 43242, 2423, 32640, 9957, 20328, 9957, 2423, 2031, 27188, 295, 4018, 4724, 28543, 33599], "avg_logprob": -0.32866379875561286, "compression_ratio": 1.5277777777777777, "no_speech_prob": 0.0, "words": [{"start": 2381.53, "end": 2382.13, "word": "على", "probability": 0.470794677734375}, {"start": 2382.13, "end": 2382.97, "word": " 2n", "probability": 0.57275390625}, {"start": 2382.97, "end": 2383.85, "word": " factorial", "probability": 0.400390625}, {"start": 2383.85, "end": 2384.57, "word": " زاد", "probability": 0.5035400390625}, {"start": 2384.57, "end": 2385.35, "word": " التفاضل", "probability": 0.9454345703125}, {"start": 2385.35, "end": 2386.17, "word": " الرقم", "probability": 0.9527994791666666}, {"start": 2386.17, "end": 2387.29, "word": " 2n", "probability": 0.853271484375}, {"start": 2387.29, "end": 2387.99, "word": " plus", "probability": 0.57861328125}, {"start": 2387.99, "end": 2388.61, "word": " 1", "probability": 0.58984375}, {"start": 2388.61, "end": 2389.61, "word": " عند", "probability": 0.291259765625}, {"start": 2389.61, "end": 2390.35, "word": " 0", "probability": 0.541015625}, {"start": 2390.35, "end": 2390.83, "word": " x", "probability": 0.626953125}, {"start": 2390.83, "end": 2391.07, "word": " to", "probability": 0.8759765625}, {"start": 2391.07, "end": 2391.33, "word": " the", "probability": 0.8994140625}, {"start": 2391.33, "end": 2391.65, "word": " power", "probability": 0.8525390625}, {"start": 2391.65, "end": 2392.53, "word": " 2n", "probability": 0.826904296875}, {"start": 2392.53, "end": 2393.07, "word": " plus", "probability": 0.953125}, {"start": 2393.07, "end": 2393.53, "word": " 1", "probability": 0.90185546875}, {"start": 2393.53, "end": 2394.13, "word": " على", "probability": 0.68994140625}, {"start": 2394.13, "end": 2394.83, "word": " 2n", "probability": 0.968994140625}, {"start": 2394.83, "end": 2395.37, "word": " plus", "probability": 0.96923828125}, {"start": 2395.37, "end": 2395.71, "word": " 1", "probability": 0.87158203125}, {"start": 2395.71, "end": 2396.57, "word": " factorial", "probability": 0.7783203125}, {"start": 2396.57, "end": 2397.27, "word": " زاد", "probability": 0.947509765625}, {"start": 2397.27, "end": 2397.51, "word": " إلى", "probability": 0.634765625}, {"start": 2397.51, "end": 2398.35, "word": " آخرين", "probability": 0.884765625}, {"start": 2398.35, "end": 2400.55, "word": " الف", "probability": 0.1251220703125}, {"start": 2400.55, "end": 2400.75, "word": " of", "probability": 0.89501953125}, {"start": 2400.75, "end": 2400.99, "word": " x", "probability": 0.95458984375}, {"start": 2400.99, "end": 2401.27, "word": " عند", "probability": 0.75439453125}, {"start": 2401.27, "end": 2402.09, "word": " اليمين", "probability": 0.8134765625}, {"start": 2402.09, "end": 2403.55, "word": " صين", "probability": 0.5775146484375}, {"start": 2403.55, "end": 2403.77, "word": " ال", "probability": 0.89892578125}, {"start": 2403.77, "end": 2404.15, "word": " x", "probability": 0.72119140625}, {"start": 2404.15, "end": 2405.13, "word": " الف", "probability": 0.89111328125}, {"start": 2405.13, "end": 2405.37, "word": " of", "probability": 0.966796875}, {"start": 2405.37, "end": 2405.59, "word": " zero", "probability": 0.373291015625}, {"start": 2405.59, "end": 2406.41, "word": " بقداش", "probability": 0.7615559895833334}], "temperature": 1.0}, {"id": 104, "seek": 241973, "start": 2411.96, "end": 2419.74, "text": "الـ F برايمه بواحد يبقى فضل ان X على واحد factorial اللي هو ب X او X على واحد factorial", "tokens": [6027, 39184, 479, 4724, 23557, 32640, 3224, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 6156, 11242, 1211, 16472, 1783, 15844, 36764, 24401, 36916, 13672, 1829, 31439, 4724, 1783, 1975, 2407, 1783, 15844, 36764, 24401, 36916], "avg_logprob": -0.519531261589792, "compression_ratio": 1.316831683168317, "no_speech_prob": 0.0, "words": [{"start": 2411.96, "end": 2412.58, "word": "الـ", "probability": 0.136993408203125}, {"start": 2412.58, "end": 2412.74, "word": " F", "probability": 0.46533203125}, {"start": 2412.74, "end": 2413.46, "word": " برايمه", "probability": 0.5616455078125}, {"start": 2413.46, "end": 2414.14, "word": " بواحد", "probability": 0.9226888020833334}, {"start": 2414.14, "end": 2414.76, "word": " يبقى", "probability": 0.8111572265625}, {"start": 2414.76, "end": 2415.08, "word": " فضل", "probability": 0.4671223958333333}, {"start": 2415.08, "end": 2415.36, "word": " ان", "probability": 0.400390625}, {"start": 2415.36, "end": 2415.84, "word": " X", "probability": 0.640625}, {"start": 2415.84, "end": 2416.08, "word": " على", "probability": 0.63037109375}, {"start": 2416.08, "end": 2416.4, "word": " واحد", "probability": 0.967529296875}, {"start": 2416.4, "end": 2417.04, "word": " factorial", "probability": 0.306396484375}, {"start": 2417.04, "end": 2417.24, "word": " اللي", "probability": 0.5677490234375}, {"start": 2417.24, "end": 2417.42, "word": " هو", "probability": 0.95654296875}, {"start": 2417.42, "end": 2417.54, "word": " ب", "probability": 0.89306640625}, {"start": 2417.54, "end": 2417.84, "word": " X", "probability": 0.49609375}, {"start": 2417.84, "end": 2418.32, "word": " او", "probability": 0.7479248046875}, {"start": 2418.32, "end": 2418.62, "word": " X", "probability": 0.96240234375}, {"start": 2418.62, "end": 2418.86, "word": " على", "probability": 0.88232421875}, {"start": 2418.86, "end": 2419.16, "word": " واحد", "probability": 0.993896484375}, {"start": 2419.16, "end": 2419.74, "word": " factorial", "probability": 0.650390625}], "temperature": 1.0}, {"id": 105, "seek": 244812, "start": 2420.36, "end": 2448.12, "text": "نجي لبعده ال f double prime ب zero يبقى كمان هذا راح مع السلامة المشتقة التالتة بسالب واحد يبقى سالب x تكيب على تلاتة factorial المشتقة الرابعة قداش zero مع السلامة وصلنا للمشتقة الخامسة المشتقة الخامسة بواحد بالموجب يبقى x أص خمسة على خمسة factorial", "tokens": [1863, 7435, 1829, 5296, 3555, 22488, 3224, 2423, 283, 3834, 5835, 4724, 4018, 7251, 3555, 4587, 7578, 9122, 2304, 7649, 23758, 12602, 39319, 20449, 21136, 37440, 3660, 9673, 8592, 2655, 28671, 16712, 6027, 2655, 3660, 4724, 3794, 6027, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 2031, 6055, 4117, 1829, 3555, 15844, 6055, 1211, 9307, 3660, 36916, 9673, 8592, 2655, 28671, 34892, 16758, 27884, 12174, 3215, 33599, 4018, 20449, 21136, 37440, 3660, 4032, 36520, 8315, 5296, 19528, 8592, 2655, 28671, 33962, 10943, 3794, 3660, 9673, 8592, 2655, 28671, 33962, 10943, 3794, 3660, 4724, 14407, 24401, 20666, 2304, 29245, 3555, 7251, 3555, 4587, 7578, 2031, 5551, 9381, 16490, 2304, 3794, 3660, 15844, 16490, 2304, 3794, 3660, 36916], "avg_logprob": -0.17594537865213988, "compression_ratio": 2.0194174757281553, "no_speech_prob": 0.0, "words": [{"start": 2420.36, "end": 2420.84, "word": "نجي", "probability": 0.4108683268229167}, {"start": 2420.84, "end": 2421.54, "word": " لبعده", "probability": 0.7957763671875}, {"start": 2421.54, "end": 2422.0, "word": " ال", "probability": 0.54052734375}, {"start": 2422.0, "end": 2422.36, "word": " f", "probability": 0.35986328125}, {"start": 2422.36, "end": 2422.8, "word": " double", "probability": 0.4208984375}, {"start": 2422.8, "end": 2423.4, "word": " prime", "probability": 0.8837890625}, {"start": 2423.4, "end": 2423.64, "word": " ب", "probability": 0.6083984375}, {"start": 2423.64, "end": 2424.06, "word": " zero", "probability": 0.406982421875}, {"start": 2424.06, "end": 2424.98, "word": " يبقى", "probability": 0.97021484375}, {"start": 2424.98, "end": 2425.4, "word": " كمان", "probability": 0.9322916666666666}, {"start": 2425.4, "end": 2425.68, "word": " هذا", "probability": 0.87451171875}, {"start": 2425.68, "end": 2425.94, "word": " راح", "probability": 0.9482421875}, {"start": 2425.94, "end": 2426.18, "word": " مع", "probability": 0.97412109375}, {"start": 2426.18, "end": 2427.0, "word": " السلامة", "probability": 0.9549153645833334}, {"start": 2427.0, "end": 2428.04, "word": " المشتقة", "probability": 0.846923828125}, {"start": 2428.04, "end": 2428.58, "word": " التالتة", "probability": 0.931396484375}, {"start": 2428.58, "end": 2429.22, "word": " بسالب", "probability": 0.71881103515625}, {"start": 2429.22, "end": 2429.76, "word": " واحد", "probability": 0.972900390625}, {"start": 2429.76, "end": 2430.56, "word": " يبقى", "probability": 0.979736328125}, {"start": 2430.56, "end": 2431.16, "word": " سالب", "probability": 0.9539388020833334}, {"start": 2431.16, "end": 2431.56, "word": " x", "probability": 0.76171875}, {"start": 2431.56, "end": 2432.3, "word": " تكيب", "probability": 0.86669921875}, {"start": 2432.3, "end": 2432.6, "word": " على", "probability": 0.87158203125}, {"start": 2432.6, "end": 2433.26, "word": " تلاتة", "probability": 0.8975830078125}, {"start": 2433.26, "end": 2433.86, "word": " factorial", "probability": 0.68212890625}, {"start": 2433.86, "end": 2435.38, "word": " المشتقة", "probability": 0.96337890625}, {"start": 2435.38, "end": 2436.42, "word": " الرابعة", "probability": 0.95849609375}, {"start": 2436.42, "end": 2437.16, "word": " قداش", "probability": 0.7211100260416666}, {"start": 2437.16, "end": 2437.54, "word": " zero", "probability": 0.70947265625}, {"start": 2437.54, "end": 2437.82, "word": " مع", "probability": 0.98876953125}, {"start": 2437.82, "end": 2438.74, "word": " السلامة", "probability": 0.986328125}, {"start": 2438.74, "end": 2439.58, "word": " وصلنا", "probability": 0.935546875}, {"start": 2439.58, "end": 2440.34, "word": " للمشتقة", "probability": 0.9056640625}, {"start": 2440.34, "end": 2440.88, "word": " الخامسة", "probability": 0.9417724609375}, {"start": 2440.88, "end": 2441.48, "word": " المشتقة", "probability": 0.95849609375}, {"start": 2441.48, "end": 2442.1, "word": " الخامسة", "probability": 0.9752197265625}, {"start": 2442.1, "end": 2442.74, "word": " بواحد", "probability": 0.9864908854166666}, {"start": 2442.74, "end": 2443.64, "word": " بالموجب", "probability": 0.8314208984375}, {"start": 2443.64, "end": 2444.6, "word": " يبقى", "probability": 0.994873046875}, {"start": 2444.6, "end": 2445.02, "word": " x", "probability": 0.97705078125}, {"start": 2445.02, "end": 2445.42, "word": " أص", "probability": 0.68505859375}, {"start": 2445.42, "end": 2446.2, "word": " خمسة", "probability": 0.781494140625}, {"start": 2446.2, "end": 2446.82, "word": " على", "probability": 0.8837890625}, {"start": 2446.82, "end": 2447.48, "word": " خمسة", "probability": 0.9930419921875}, {"start": 2447.48, "end": 2448.12, "word": " factorial", "probability": 0.76171875}], "temperature": 1.0}, {"id": 106, "seek": 247462, "start": 2448.58, "end": 2474.62, "text": "شفوي حد بيقدر يقولي جداش ال term اللي بعده ناقص x والسبعة على سبعة factorial و هكذا طيب هاي ناقص هو انه جبال الله يسهل عليكي لما انا وصل لهذه هذه كمان بجداش F0 F2 هي F0 مع السلامة وصلنا للي بعدها اللي بعدها بجداش", "tokens": [8592, 5172, 45865, 11331, 3215, 4724, 1829, 28543, 2288, 7251, 39648, 1829, 10874, 3215, 33599, 2423, 1433, 13672, 1829, 39182, 3224, 8717, 995, 4587, 9381, 2031, 16070, 35457, 27884, 15844, 8608, 3555, 27884, 36916, 4032, 8032, 4117, 15730, 23032, 1829, 3555, 8032, 47302, 8717, 995, 4587, 9381, 31439, 16472, 3224, 10874, 3555, 6027, 21984, 7251, 3794, 3224, 1211, 25894, 4117, 1829, 5296, 15042, 1975, 8315, 4032, 36520, 46740, 24192, 8032, 8848, 3224, 9122, 2304, 7649, 4724, 7435, 3215, 33599, 479, 15, 479, 17, 39896, 479, 15, 20449, 21136, 37440, 3660, 4032, 36520, 8315, 5296, 20292, 39182, 11296, 13672, 1829, 39182, 11296, 4724, 7435, 3215, 33599], "avg_logprob": -0.30984668518012426, "compression_ratio": 1.7821782178217822, "no_speech_prob": 0.0, "words": [{"start": 2448.58, "end": 2449.4, "word": "شفوي", "probability": 0.56182861328125}, {"start": 2449.4, "end": 2450.0, "word": " حد", "probability": 0.6224365234375}, {"start": 2450.0, "end": 2450.36, "word": " بيقدر", "probability": 0.9205322265625}, {"start": 2450.36, "end": 2450.76, "word": " يقولي", "probability": 0.6991373697916666}, {"start": 2450.76, "end": 2451.16, "word": " جداش", "probability": 0.746337890625}, {"start": 2451.16, "end": 2451.36, "word": " ال", "probability": 0.7275390625}, {"start": 2451.36, "end": 2451.68, "word": " term", "probability": 0.90673828125}, {"start": 2451.68, "end": 2451.92, "word": " اللي", "probability": 0.92138671875}, {"start": 2451.92, "end": 2452.8, "word": " بعده", "probability": 0.8876953125}, {"start": 2452.8, "end": 2456.22, "word": " ناقص", "probability": 0.8887939453125}, {"start": 2456.22, "end": 2456.78, "word": " x", "probability": 0.3564453125}, {"start": 2456.78, "end": 2457.44, "word": " والسبعة", "probability": 0.71923828125}, {"start": 2457.44, "end": 2457.66, "word": " على", "probability": 0.69921875}, {"start": 2457.66, "end": 2458.0, "word": " سبعة", "probability": 0.9599609375}, {"start": 2458.0, "end": 2458.56, "word": " factorial", "probability": 0.6435546875}, {"start": 2458.56, "end": 2458.78, "word": " و", "probability": 0.74951171875}, {"start": 2458.78, "end": 2459.4, "word": " هكذا", "probability": 0.7583821614583334}, {"start": 2459.4, "end": 2460.4, "word": " طيب", "probability": 0.9436848958333334}, {"start": 2460.4, "end": 2460.82, "word": " هاي", "probability": 0.769775390625}, {"start": 2460.82, "end": 2461.72, "word": " ناقص", "probability": 0.9947509765625}, {"start": 2461.72, "end": 2462.08, "word": " هو", "probability": 0.75146484375}, {"start": 2462.08, "end": 2462.38, "word": " انه", "probability": 0.577880859375}, {"start": 2462.38, "end": 2462.6, "word": " جبال", "probability": 0.5323079427083334}, {"start": 2462.6, "end": 2462.88, "word": " الله", "probability": 0.96923828125}, {"start": 2462.88, "end": 2463.38, "word": " يسهل", "probability": 0.7451171875}, {"start": 2463.38, "end": 2463.96, "word": " عليكي", "probability": 0.84814453125}, {"start": 2463.96, "end": 2464.52, "word": " لما", "probability": 0.93994140625}, {"start": 2464.52, "end": 2464.7, "word": " انا", "probability": 0.676513671875}, {"start": 2464.7, "end": 2465.08, "word": " وصل", "probability": 0.807861328125}, {"start": 2465.08, "end": 2465.62, "word": " لهذه", "probability": 0.8056640625}, {"start": 2465.62, "end": 2466.04, "word": " هذه", "probability": 0.4812825520833333}, {"start": 2466.04, "end": 2466.36, "word": " كمان", "probability": 0.9650065104166666}, {"start": 2466.36, "end": 2467.26, "word": " بجداش", "probability": 0.75469970703125}, {"start": 2467.26, "end": 2468.96, "word": " F0", "probability": 0.5830078125}, {"start": 2468.96, "end": 2469.86, "word": " F2", "probability": 0.88720703125}, {"start": 2469.86, "end": 2470.16, "word": " هي", "probability": 0.160400390625}, {"start": 2470.16, "end": 2470.86, "word": " F0", "probability": 0.798095703125}, {"start": 2470.86, "end": 2471.12, "word": " مع", "probability": 0.95166015625}, {"start": 2471.12, "end": 2472.06, "word": " السلامة", "probability": 0.9495442708333334}, {"start": 2472.06, "end": 2472.72, "word": " وصلنا", "probability": 0.9684244791666666}, {"start": 2472.72, "end": 2473.04, "word": " للي", "probability": 0.708251953125}, {"start": 2473.04, "end": 2473.36, "word": " بعدها", "probability": 0.72705078125}, {"start": 2473.36, "end": 2473.56, "word": " اللي", "probability": 0.75439453125}, {"start": 2473.56, "end": 2473.82, "word": " بعدها", "probability": 0.81298828125}, {"start": 2473.82, "end": 2474.62, "word": " بجداش", "probability": 0.9412841796875}], "temperature": 1.0}, {"id": 107, "seek": 248848, "start": 2474.9, "end": 2488.48, "text": "بنقص واحد to the power n x أس اتنين n plus one اتنين n plus one factorial زائد إلى ما شاء الله", "tokens": [3555, 1863, 4587, 9381, 36764, 24401, 281, 264, 1347, 297, 2031, 5551, 3794, 1975, 2655, 1863, 9957, 297, 1804, 472, 1975, 2655, 1863, 9957, 297, 1804, 472, 36916, 30767, 16373, 3215, 30731, 19446, 13412, 16606, 21984], "avg_logprob": -0.27449324002137054, "compression_ratio": 1.1926605504587156, "no_speech_prob": 0.0, "words": [{"start": 2474.9, "end": 2475.84, "word": "بنقص", "probability": 0.62921142578125}, {"start": 2475.84, "end": 2476.34, "word": " واحد", "probability": 0.86376953125}, {"start": 2476.34, "end": 2476.6, "word": " to", "probability": 0.67578125}, {"start": 2476.6, "end": 2476.84, "word": " the", "probability": 0.880859375}, {"start": 2476.84, "end": 2477.44, "word": " power", "probability": 0.884765625}, {"start": 2477.44, "end": 2478.0, "word": " n", "probability": 0.409423828125}, {"start": 2478.0, "end": 2478.82, "word": " x", "probability": 0.68896484375}, {"start": 2478.82, "end": 2479.32, "word": " أس", "probability": 0.4300537109375}, {"start": 2479.32, "end": 2479.96, "word": " اتنين", "probability": 0.77020263671875}, {"start": 2479.96, "end": 2480.36, "word": " n", "probability": 0.60302734375}, {"start": 2480.36, "end": 2480.8, "word": " plus", "probability": 0.80859375}, {"start": 2480.8, "end": 2481.46, "word": " one", "probability": 0.93603515625}, {"start": 2481.46, "end": 2482.58, "word": " اتنين", "probability": 0.940673828125}, {"start": 2482.58, "end": 2482.96, "word": " n", "probability": 0.79736328125}, {"start": 2482.96, "end": 2483.66, "word": " plus", "probability": 0.96337890625}, {"start": 2483.66, "end": 2484.28, "word": " one", "probability": 0.9580078125}, {"start": 2484.28, "end": 2485.56, "word": " factorial", "probability": 0.6552734375}, {"start": 2485.56, "end": 2486.98, "word": " زائد", "probability": 0.7931315104166666}, {"start": 2486.98, "end": 2487.36, "word": " إلى", "probability": 0.65380859375}, {"start": 2487.36, "end": 2487.68, "word": " ما", "probability": 0.97119140625}, {"start": 2487.68, "end": 2488.1, "word": " شاء", "probability": 0.987060546875}, {"start": 2488.1, "end": 2488.48, "word": " الله", "probability": 0.962890625}], "temperature": 1.0}, {"id": 108, "seek": 251894, "start": 2489.8, "end": 2518.94, "text": "مش رايك بقدر اكتبها على شكل summation يبقى هاي summation لمن يسلب واحد to the power n x to n plus one to n plus one factorial من عند ال n تساوي zero الى infinity رغم انه شطبنا نص مبدأت من عند zero تعالى نشوف شو اللي هذا صح والله كله كلام تعالى تطلع شوف", "tokens": [2304, 8592, 12602, 47302, 4117, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 15844, 13412, 28820, 28811, 7251, 3555, 4587, 7578, 8032, 47302, 28811, 5296, 27842, 7251, 3794, 46152, 36764, 24401, 281, 264, 1347, 297, 2031, 281, 297, 1804, 472, 281, 297, 1804, 472, 36916, 9154, 43242, 2423, 297, 6055, 3794, 995, 45865, 4018, 2423, 7578, 13202, 12602, 17082, 2304, 16472, 3224, 13412, 9566, 3555, 8315, 8717, 9381, 3714, 44510, 10721, 2655, 9154, 43242, 4018, 37279, 6027, 7578, 8717, 8592, 38688, 13412, 2407, 13672, 1829, 23758, 20328, 5016, 16070, 43761, 28242, 3224, 28242, 10943, 37279, 6027, 7578, 6055, 9566, 1211, 3615, 13412, 38688], "avg_logprob": -0.23888221555031264, "compression_ratio": 1.6051502145922747, "no_speech_prob": 0.0, "words": [{"start": 2489.8, "end": 2490.0, "word": "مش", "probability": 0.19573974609375}, {"start": 2490.0, "end": 2490.36, "word": " رايك", "probability": 0.9344075520833334}, {"start": 2490.36, "end": 2490.72, "word": " بقدر", "probability": 0.8494466145833334}, {"start": 2490.72, "end": 2491.06, "word": " اكتبها", "probability": 0.773828125}, {"start": 2491.06, "end": 2491.24, "word": " على", "probability": 0.6962890625}, {"start": 2491.24, "end": 2491.6, "word": " شكل", "probability": 0.966796875}, {"start": 2491.6, "end": 2492.42, "word": " summation", "probability": 0.8486328125}, {"start": 2492.42, "end": 2494.0, "word": " يبقى", "probability": 0.9105224609375}, {"start": 2494.0, "end": 2494.48, "word": " هاي", "probability": 0.72216796875}, {"start": 2494.48, "end": 2496.08, "word": " summation", "probability": 0.69384765625}, {"start": 2496.08, "end": 2497.16, "word": " لمن", "probability": 0.69189453125}, {"start": 2497.16, "end": 2497.96, "word": " يسلب", "probability": 0.65673828125}, {"start": 2497.96, "end": 2498.46, "word": " واحد", "probability": 0.90576171875}, {"start": 2498.46, "end": 2498.7, "word": " to", "probability": 0.91357421875}, {"start": 2498.7, "end": 2498.94, "word": " the", "probability": 0.90625}, {"start": 2498.94, "end": 2499.5, "word": " power", "probability": 0.89990234375}, {"start": 2499.5, "end": 2499.98, "word": " n", "probability": 0.529296875}, {"start": 2499.98, "end": 2500.82, "word": " x", "probability": 0.489501953125}, {"start": 2500.82, "end": 2501.14, "word": " to", "probability": 0.401123046875}, {"start": 2501.14, "end": 2501.56, "word": " n", "probability": 0.7890625}, {"start": 2501.56, "end": 2502.1, "word": " plus", "probability": 0.72119140625}, {"start": 2502.1, "end": 2502.54, "word": " one", "probability": 0.92529296875}, {"start": 2502.54, "end": 2503.1, "word": " to", "probability": 0.76806640625}, {"start": 2503.1, "end": 2503.56, "word": " n", "probability": 0.95556640625}, {"start": 2503.56, "end": 2504.14, "word": " plus", "probability": 0.97412109375}, {"start": 2504.14, "end": 2504.54, "word": " one", "probability": 0.951171875}, {"start": 2504.54, "end": 2505.38, "word": " factorial", "probability": 0.78759765625}, {"start": 2505.38, "end": 2506.02, "word": " من", "probability": 0.9482421875}, {"start": 2506.02, "end": 2506.38, "word": " عند", "probability": 0.74462890625}, {"start": 2506.38, "end": 2506.66, "word": " ال", "probability": 0.98046875}, {"start": 2506.66, "end": 2506.9, "word": " n", "probability": 0.427490234375}, {"start": 2506.9, "end": 2507.56, "word": " تساوي", "probability": 0.8662109375}, {"start": 2507.56, "end": 2507.96, "word": " zero", "probability": 0.6650390625}, {"start": 2507.96, "end": 2508.32, "word": " الى", "probability": 0.6920166015625}, {"start": 2508.32, "end": 2509.06, "word": " infinity", "probability": 0.8125}, {"start": 2509.06, "end": 2510.4, "word": " رغم", "probability": 0.97900390625}, {"start": 2510.4, "end": 2510.62, "word": " انه", "probability": 0.891357421875}, {"start": 2510.62, "end": 2511.34, "word": " شطبنا", "probability": 0.9356689453125}, {"start": 2511.34, "end": 2511.72, "word": " نص", "probability": 0.98388671875}, {"start": 2511.72, "end": 2512.46, "word": " مبدأت", "probability": 0.76025390625}, {"start": 2512.46, "end": 2512.64, "word": " من", "probability": 0.95068359375}, {"start": 2512.64, "end": 2512.98, "word": " عند", "probability": 0.7705078125}, {"start": 2512.98, "end": 2513.48, "word": " zero", "probability": 0.505859375}, {"start": 2513.48, "end": 2514.24, "word": " تعالى", "probability": 0.9552408854166666}, {"start": 2514.24, "end": 2514.58, "word": " نشوف", "probability": 0.98486328125}, {"start": 2514.58, "end": 2514.82, "word": " شو", "probability": 0.818603515625}, {"start": 2514.82, "end": 2515.0, "word": " اللي", "probability": 0.490478515625}, {"start": 2515.0, "end": 2515.26, "word": " هذا", "probability": 0.8447265625}, {"start": 2515.26, "end": 2515.64, "word": " صح", "probability": 0.9912109375}, {"start": 2515.64, "end": 2515.96, "word": " والله", "probability": 0.7205810546875}, {"start": 2515.96, "end": 2516.38, "word": " كله", "probability": 0.952392578125}, {"start": 2516.38, "end": 2517.02, "word": " كلام", "probability": 0.964599609375}, {"start": 2517.02, "end": 2518.14, "word": " تعالى", "probability": 0.98388671875}, {"start": 2518.14, "end": 2518.6, "word": " تطلع", "probability": 0.801025390625}, {"start": 2518.6, "end": 2518.94, "word": " شوف", "probability": 0.8857421875}], "temperature": 1.0}, {"id": 109, "seek": 253738, "start": 2520.68, "end": 2537.38, "text": "لو جيت لعنا ال summation لعنا هذا كله بقداش؟ بواحد هذا zero بيظل قداش أس واحد يبقى X أس واحد اللي هي ب X هذا zero بيظل واحد factorial يبقى X على واحد factorial", "tokens": [1211, 2407, 10874, 36081, 5296, 3615, 8315, 2423, 28811, 5296, 3615, 8315, 23758, 28242, 3224, 4724, 28543, 33599, 22807, 4724, 14407, 24401, 23758, 4018, 4724, 1829, 19913, 1211, 12174, 3215, 33599, 5551, 3794, 36764, 24401, 7251, 3555, 4587, 7578, 1783, 5551, 3794, 36764, 24401, 13672, 1829, 39896, 4724, 1783, 23758, 4018, 4724, 1829, 19913, 1211, 36764, 24401, 36916, 7251, 3555, 4587, 7578, 1783, 15844, 36764, 24401, 36916], "avg_logprob": -0.3807444997570094, "compression_ratio": 1.7394366197183098, "no_speech_prob": 0.0, "words": [{"start": 2520.68, "end": 2521.08, "word": "لو", "probability": 0.626708984375}, {"start": 2521.08, "end": 2521.38, "word": " جيت", "probability": 0.669921875}, {"start": 2521.38, "end": 2521.82, "word": " لعنا", "probability": 0.4718017578125}, {"start": 2521.82, "end": 2522.0, "word": " ال", "probability": 0.25244140625}, {"start": 2522.0, "end": 2522.38, "word": " summation", "probability": 0.63720703125}, {"start": 2522.38, "end": 2522.76, "word": " لعنا", "probability": 0.8663736979166666}, {"start": 2522.76, "end": 2522.94, "word": " هذا", "probability": 0.0916748046875}, {"start": 2522.94, "end": 2524.96, "word": " كله", "probability": 0.6981201171875}, {"start": 2524.96, "end": 2525.84, "word": " بقداش؟", "probability": 0.65960693359375}, {"start": 2525.84, "end": 2526.72, "word": " بواحد", "probability": 0.89794921875}, {"start": 2526.72, "end": 2527.6, "word": " هذا", "probability": 0.481201171875}, {"start": 2527.6, "end": 2528.24, "word": " zero", "probability": 0.473388671875}, {"start": 2528.24, "end": 2529.16, "word": " بيظل", "probability": 0.660400390625}, {"start": 2529.16, "end": 2529.78, "word": " قداش", "probability": 0.767333984375}, {"start": 2529.78, "end": 2530.08, "word": " أس", "probability": 0.5604248046875}, {"start": 2530.08, "end": 2530.4, "word": " واحد", "probability": 0.96875}, {"start": 2530.4, "end": 2530.9, "word": " يبقى", "probability": 0.88134765625}, {"start": 2530.9, "end": 2531.32, "word": " X", "probability": 0.329345703125}, {"start": 2531.32, "end": 2531.72, "word": " أس", "probability": 0.9375}, {"start": 2531.72, "end": 2532.04, "word": " واحد", "probability": 0.992919921875}, {"start": 2532.04, "end": 2532.2, "word": " اللي", "probability": 0.74072265625}, {"start": 2532.2, "end": 2532.28, "word": " هي", "probability": 0.5166015625}, {"start": 2532.28, "end": 2532.38, "word": " ب", "probability": 0.63818359375}, {"start": 2532.38, "end": 2532.64, "word": " X", "probability": 0.7421875}, {"start": 2532.64, "end": 2533.38, "word": " هذا", "probability": 0.85791015625}, {"start": 2533.38, "end": 2533.72, "word": " zero", "probability": 0.56787109375}, {"start": 2533.72, "end": 2534.06, "word": " بيظل", "probability": 0.8870849609375}, {"start": 2534.06, "end": 2534.42, "word": " واحد", "probability": 0.9833984375}, {"start": 2534.42, "end": 2535.28, "word": " factorial", "probability": 0.67919921875}, {"start": 2535.28, "end": 2536.04, "word": " يبقى", "probability": 0.98388671875}, {"start": 2536.04, "end": 2536.26, "word": " X", "probability": 0.9599609375}, {"start": 2536.26, "end": 2536.46, "word": " على", "probability": 0.63623046875}, {"start": 2536.46, "end": 2536.76, "word": " واحد", "probability": 0.992431640625}, {"start": 2536.76, "end": 2537.38, "word": " factorial", "probability": 0.78173828125}], "temperature": 1.0}, {"id": 110, "seek": 256692, "start": 2538.79, "end": 2566.93, "text": "بعد ال zero بيجيني واحد و بيصير هذه السالم هذا بيصير تلاتة و تلاتة factorial اي تلاتة و تلاتة factorial اللي بعد هو هكذا يبقى الشغل سليم مائة بالمائة من هنا جبنا لسه لهذه طيب بدنا نيجي ل B إذا بيه بدنا نبدأ من أول و جديد واش هالزهجان هذا لكن فكري كويس شو بتفرق هذه عن هذه؟", "tokens": [3555, 22488, 2423, 4018, 4724, 1829, 7435, 1829, 22653, 36764, 24401, 4032, 4724, 1829, 9381, 13546, 29538, 21136, 45340, 23758, 4724, 1829, 9381, 13546, 6055, 1211, 9307, 3660, 4032, 6055, 1211, 9307, 3660, 36916, 1975, 1829, 6055, 1211, 9307, 3660, 4032, 6055, 1211, 9307, 3660, 36916, 13672, 1829, 39182, 31439, 8032, 4117, 15730, 7251, 3555, 4587, 7578, 25124, 17082, 1211, 8608, 20292, 2304, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 9154, 34105, 10874, 3555, 8315, 5296, 3794, 3224, 46740, 24192, 23032, 1829, 3555, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 363, 11933, 15730, 4724, 1829, 3224, 47525, 8315, 8717, 44510, 10721, 9154, 5551, 12610, 4032, 10874, 16254, 3215, 4032, 33599, 8032, 6027, 11622, 3224, 7435, 7649, 23758, 44381, 6156, 4117, 16572, 9122, 45865, 3794, 13412, 2407, 39894, 5172, 2288, 4587, 29538, 18871, 29538, 22807], "avg_logprob": -0.23032407230801052, "compression_ratio": 1.8938775510204082, "no_speech_prob": 0.0, "words": [{"start": 2538.79, "end": 2539.43, "word": "بعد", "probability": 0.84814453125}, {"start": 2539.43, "end": 2540.11, "word": " ال", "probability": 0.72119140625}, {"start": 2540.11, "end": 2540.31, "word": " zero", "probability": 0.24169921875}, {"start": 2540.31, "end": 2540.75, "word": " بيجيني", "probability": 0.667578125}, {"start": 2540.75, "end": 2541.23, "word": " واحد", "probability": 0.983642578125}, {"start": 2541.23, "end": 2541.51, "word": " و", "probability": 0.321044921875}, {"start": 2541.51, "end": 2541.85, "word": " بيصير", "probability": 0.7442626953125}, {"start": 2541.85, "end": 2542.11, "word": " هذه", "probability": 0.339111328125}, {"start": 2542.11, "end": 2542.67, "word": " السالم", "probability": 0.67724609375}, {"start": 2542.67, "end": 2543.43, "word": " هذا", "probability": 0.326416015625}, {"start": 2543.43, "end": 2543.87, "word": " بيصير", "probability": 0.8826904296875}, {"start": 2543.87, "end": 2544.71, "word": " تلاتة", "probability": 0.9049072265625}, {"start": 2544.71, "end": 2544.83, "word": " و", "probability": 0.68408203125}, {"start": 2544.83, "end": 2545.31, "word": " تلاتة", "probability": 0.979248046875}, {"start": 2545.31, "end": 2545.99, "word": " factorial", "probability": 0.72705078125}, {"start": 2545.99, "end": 2546.39, "word": " اي", "probability": 0.527587890625}, {"start": 2546.39, "end": 2546.87, "word": " تلاتة", "probability": 0.979248046875}, {"start": 2546.87, "end": 2546.99, "word": " و", "probability": 0.97509765625}, {"start": 2546.99, "end": 2547.37, "word": " تلاتة", "probability": 0.9901123046875}, {"start": 2547.37, "end": 2547.61, "word": " factorial", "probability": 0.453857421875}, {"start": 2547.61, "end": 2547.83, "word": " اللي", "probability": 0.84326171875}, {"start": 2547.83, "end": 2548.15, "word": " بعد", "probability": 0.748046875}, {"start": 2548.15, "end": 2548.33, "word": " هو", "probability": 0.89453125}, {"start": 2548.33, "end": 2548.97, "word": " هكذا", "probability": 0.9557291666666666}, {"start": 2548.97, "end": 2549.71, "word": " يبقى", "probability": 0.9342041015625}, {"start": 2549.71, "end": 2550.13, "word": " الشغل", "probability": 0.8271484375}, {"start": 2550.13, "end": 2550.67, "word": " سليم", "probability": 0.9586588541666666}, {"start": 2550.67, "end": 2551.05, "word": " مائة", "probability": 0.7960611979166666}, {"start": 2551.05, "end": 2551.69, "word": " بالمائة", "probability": 0.9580078125}, {"start": 2551.69, "end": 2552.21, "word": " من", "probability": 0.791015625}, {"start": 2552.21, "end": 2552.55, "word": " هنا", "probability": 0.986328125}, {"start": 2552.55, "end": 2553.29, "word": " جبنا", "probability": 0.8719075520833334}, {"start": 2553.29, "end": 2554.39, "word": " لسه", "probability": 0.9109700520833334}, {"start": 2554.39, "end": 2555.13, "word": " لهذه", "probability": 0.755859375}, {"start": 2555.13, "end": 2557.23, "word": " طيب", "probability": 0.9122721354166666}, {"start": 2557.23, "end": 2557.87, "word": " بدنا", "probability": 0.58380126953125}, {"start": 2557.87, "end": 2558.17, "word": " نيجي", "probability": 0.9615478515625}, {"start": 2558.17, "end": 2558.35, "word": " ل", "probability": 0.9111328125}, {"start": 2558.35, "end": 2558.63, "word": " B", "probability": 0.324462890625}, {"start": 2558.63, "end": 2559.35, "word": " إذا", "probability": 0.7099609375}, {"start": 2559.35, "end": 2559.59, "word": " بيه", "probability": 0.81396484375}, {"start": 2559.59, "end": 2559.87, "word": " بدنا", "probability": 0.9150390625}, {"start": 2559.87, "end": 2560.23, "word": " نبدأ", "probability": 0.9744466145833334}, {"start": 2560.23, "end": 2560.39, "word": " من", "probability": 0.95263671875}, {"start": 2560.39, "end": 2560.83, "word": " أول", "probability": 0.9287109375}, {"start": 2560.83, "end": 2561.05, "word": " و", "probability": 0.9677734375}, {"start": 2561.05, "end": 2561.55, "word": " جديد", "probability": 0.947265625}, {"start": 2561.55, "end": 2561.87, "word": " واش", "probability": 0.62353515625}, {"start": 2561.87, "end": 2562.69, "word": " هالزهجان", "probability": 0.8496907552083334}, {"start": 2562.69, "end": 2563.07, "word": " هذا", "probability": 0.884765625}, {"start": 2563.07, "end": 2564.03, "word": " لكن", "probability": 0.79296875}, {"start": 2564.03, "end": 2564.67, "word": " فكري", "probability": 0.7899576822916666}, {"start": 2564.67, "end": 2565.15, "word": " كويس", "probability": 0.9861653645833334}, {"start": 2565.15, "end": 2565.49, "word": " شو", "probability": 0.929443359375}, {"start": 2565.49, "end": 2565.97, "word": " بتفرق", "probability": 0.7747802734375}, {"start": 2565.97, "end": 2566.25, "word": " هذه", "probability": 0.625}, {"start": 2566.25, "end": 2566.45, "word": " عن", "probability": 0.96240234375}, {"start": 2566.45, "end": 2566.93, "word": " هذه؟", "probability": 0.904541015625}], "temperature": 1.0}, {"id": 111, "seek": 258465, "start": 2568.65, "end": 2584.65, "text": "بس اغير كل x بتلاتة x بيكون اه خلصت المسألة يبقى استبدل replace each x by تلاتة x we get", "tokens": [3555, 3794, 1975, 17082, 13546, 28242, 2031, 39894, 1211, 9307, 3660, 2031, 4724, 1829, 30544, 1975, 3224, 16490, 1211, 9381, 2655, 9673, 3794, 10721, 37977, 7251, 3555, 4587, 7578, 44713, 44510, 1211, 7406, 1184, 2031, 538, 6055, 1211, 9307, 3660, 2031, 321, 483], "avg_logprob": -0.31356533752246335, "compression_ratio": 1.1842105263157894, "no_speech_prob": 0.0, "words": [{"start": 2568.65, "end": 2570.03, "word": "بس", "probability": 0.35455322265625}, {"start": 2570.03, "end": 2570.61, "word": " اغير", "probability": 0.5565999348958334}, {"start": 2570.61, "end": 2570.93, "word": " كل", "probability": 0.80078125}, {"start": 2570.93, "end": 2571.25, "word": " x", "probability": 0.28515625}, {"start": 2571.25, "end": 2571.77, "word": " بتلاتة", "probability": 0.732421875}, {"start": 2571.77, "end": 2571.95, "word": " x", "probability": 0.8486328125}, {"start": 2571.95, "end": 2572.45, "word": " بيكون", "probability": 0.750732421875}, {"start": 2572.45, "end": 2572.85, "word": " اه", "probability": 0.4508056640625}, {"start": 2572.85, "end": 2573.69, "word": " خلصت", "probability": 0.9185791015625}, {"start": 2573.69, "end": 2574.39, "word": " المسألة", "probability": 0.934326171875}, {"start": 2574.39, "end": 2575.39, "word": " يبقى", "probability": 0.9405517578125}, {"start": 2575.39, "end": 2576.53, "word": " استبدل", "probability": 0.7841796875}, {"start": 2576.53, "end": 2578.13, "word": " replace", "probability": 0.896484375}, {"start": 2578.13, "end": 2579.55, "word": " each", "probability": 0.720703125}, {"start": 2579.55, "end": 2580.53, "word": " x", "probability": 0.98095703125}, {"start": 2580.53, "end": 2581.71, "word": " by", "probability": 0.9052734375}, {"start": 2581.71, "end": 2583.01, "word": " تلاتة", "probability": 0.916748046875}, {"start": 2583.01, "end": 2583.39, "word": " x", "probability": 0.96044921875}, {"start": 2583.39, "end": 2583.97, "word": " we", "probability": 0.751953125}, {"start": 2583.97, "end": 2584.65, "word": " get", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 112, "seek": 260761, "start": 2585.57, "end": 2607.61, "text": "high sin 3x نقص 3x الكل تكيب على 3 factorial زائد 3x أُس 5 على 5 factorial ناقص زائد ناقص واحد to the power n", "tokens": [21454, 3343, 805, 87, 8717, 4587, 9381, 805, 87, 2423, 28820, 6055, 4117, 1829, 3555, 15844, 805, 36916, 30767, 16373, 3215, 805, 87, 5551, 10859, 3794, 1025, 15844, 1025, 36916, 8717, 995, 4587, 9381, 30767, 16373, 3215, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 297], "avg_logprob": -0.32731120722989243, "compression_ratio": 1.2521008403361344, "no_speech_prob": 0.0, "words": [{"start": 2585.57, "end": 2586.05, "word": "high", "probability": 0.08807373046875}, {"start": 2586.05, "end": 2586.97, "word": " sin", "probability": 0.330810546875}, {"start": 2586.97, "end": 2588.65, "word": " 3x", "probability": 0.736083984375}, {"start": 2588.65, "end": 2592.99, "word": " نقص", "probability": 0.5345662434895834}, {"start": 2592.99, "end": 2593.93, "word": " 3x", "probability": 0.85595703125}, {"start": 2593.93, "end": 2594.39, "word": " الكل", "probability": 0.694091796875}, {"start": 2594.39, "end": 2595.07, "word": " تكيب", "probability": 0.9610595703125}, {"start": 2595.07, "end": 2595.33, "word": " على", "probability": 0.90771484375}, {"start": 2595.33, "end": 2595.85, "word": " 3", "probability": 0.78564453125}, {"start": 2595.85, "end": 2596.79, "word": " factorial", "probability": 0.599609375}, {"start": 2596.79, "end": 2597.97, "word": " زائد", "probability": 0.745849609375}, {"start": 2597.97, "end": 2598.99, "word": " 3x", "probability": 0.92333984375}, {"start": 2598.99, "end": 2599.35, "word": " أُس", "probability": 0.5851236979166666}, {"start": 2599.35, "end": 2599.97, "word": " 5", "probability": 0.869140625}, {"start": 2599.97, "end": 2600.89, "word": " على", "probability": 0.7119140625}, {"start": 2600.89, "end": 2601.41, "word": " 5", "probability": 0.9228515625}, {"start": 2601.41, "end": 2602.47, "word": " factorial", "probability": 0.818359375}, {"start": 2602.47, "end": 2603.91, "word": " ناقص", "probability": 0.9656982421875}, {"start": 2603.91, "end": 2605.23, "word": " زائد", "probability": 0.8543294270833334}, {"start": 2605.23, "end": 2605.99, "word": " ناقص", "probability": 0.9520263671875}, {"start": 2605.99, "end": 2606.39, "word": " واحد", "probability": 0.831787109375}, {"start": 2606.39, "end": 2606.59, "word": " to", "probability": 0.828125}, {"start": 2606.59, "end": 2606.79, "word": " the", "probability": 0.87109375}, {"start": 2606.79, "end": 2607.19, "word": " power", "probability": 0.90771484375}, {"start": 2607.19, "end": 2607.61, "word": " n", "probability": 0.65478515625}], "temperature": 1.0}, {"id": 113, "seek": 263398, "start": 2607.72, "end": 2633.98, "text": "تلاتة x to the power two n plus one عالى two n plus one factorial زايد إلى ما شاء الله وهي على شكل summation من n equal zero to infinity لسالب واحد to the power n x to n plus one two n plus one factorial جاي في بالي أسأل السؤال التالي", "tokens": [2655, 1211, 9307, 3660, 2031, 281, 264, 1347, 732, 297, 1804, 472, 6225, 6027, 7578, 732, 297, 1804, 472, 36916, 30767, 995, 25708, 30731, 19446, 13412, 16606, 21984, 37037, 1829, 15844, 13412, 28820, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 3794, 6027, 3555, 36764, 24401, 281, 264, 1347, 297, 2031, 281, 297, 1804, 472, 732, 297, 1804, 472, 36916, 10874, 47302, 8978, 20666, 1829, 5551, 3794, 10721, 1211, 21136, 33604, 6027, 16712, 6027, 1829], "avg_logprob": -0.21443256716194906, "compression_ratio": 1.6084656084656084, "no_speech_prob": 0.0, "words": [{"start": 2607.72, "end": 2608.78, "word": "تلاتة", "probability": 0.785400390625}, {"start": 2608.78, "end": 2609.04, "word": " x", "probability": 0.48486328125}, {"start": 2609.04, "end": 2609.26, "word": " to", "probability": 0.42431640625}, {"start": 2609.26, "end": 2609.46, "word": " the", "probability": 0.916015625}, {"start": 2609.46, "end": 2609.8, "word": " power", "probability": 0.89306640625}, {"start": 2609.8, "end": 2610.12, "word": " two", "probability": 0.2142333984375}, {"start": 2610.12, "end": 2610.44, "word": " n", "probability": 0.89697265625}, {"start": 2610.44, "end": 2610.78, "word": " plus", "probability": 0.94140625}, {"start": 2610.78, "end": 2611.4, "word": " one", "probability": 0.95263671875}, {"start": 2611.4, "end": 2612.32, "word": " عالى", "probability": 0.4579264322916667}, {"start": 2612.32, "end": 2612.54, "word": " two", "probability": 0.888671875}, {"start": 2612.54, "end": 2612.96, "word": " n", "probability": 0.96484375}, {"start": 2612.96, "end": 2613.56, "word": " plus", "probability": 0.9716796875}, {"start": 2613.56, "end": 2614.04, "word": " one", "probability": 0.95068359375}, {"start": 2614.04, "end": 2614.8, "word": " factorial", "probability": 0.69873046875}, {"start": 2614.8, "end": 2615.84, "word": " زايد", "probability": 0.6903483072916666}, {"start": 2615.84, "end": 2616.12, "word": " إلى", "probability": 0.495849609375}, {"start": 2616.12, "end": 2616.3, "word": " ما", "probability": 0.9150390625}, {"start": 2616.3, "end": 2616.74, "word": " شاء", "probability": 0.970947265625}, {"start": 2616.74, "end": 2617.24, "word": " الله", "probability": 0.96875}, {"start": 2617.24, "end": 2618.0, "word": " وهي", "probability": 0.811767578125}, {"start": 2618.0, "end": 2618.24, "word": " على", "probability": 0.8984375}, {"start": 2618.24, "end": 2618.68, "word": " شكل", "probability": 0.984375}, {"start": 2618.68, "end": 2619.6, "word": " summation", "probability": 0.88525390625}, {"start": 2619.6, "end": 2620.44, "word": " من", "probability": 0.97705078125}, {"start": 2620.44, "end": 2620.76, "word": " n", "probability": 0.6904296875}, {"start": 2620.76, "end": 2621.18, "word": " equal", "probability": 0.63134765625}, {"start": 2621.18, "end": 2621.52, "word": " zero", "probability": 0.791015625}, {"start": 2621.52, "end": 2621.78, "word": " to", "probability": 0.9736328125}, {"start": 2621.78, "end": 2622.48, "word": " infinity", "probability": 0.88330078125}, {"start": 2622.48, "end": 2623.62, "word": " لسالب", "probability": 0.900390625}, {"start": 2623.62, "end": 2624.0, "word": " واحد", "probability": 0.991455078125}, {"start": 2624.0, "end": 2624.18, "word": " to", "probability": 0.95654296875}, {"start": 2624.18, "end": 2624.38, "word": " the", "probability": 0.927734375}, {"start": 2624.38, "end": 2624.82, "word": " power", "probability": 0.88330078125}, {"start": 2624.82, "end": 2625.28, "word": " n", "probability": 0.81787109375}, {"start": 2625.28, "end": 2625.96, "word": " x", "probability": 0.88720703125}, {"start": 2625.96, "end": 2626.26, "word": " to", "probability": 0.8818359375}, {"start": 2626.26, "end": 2626.68, "word": " n", "probability": 0.6630859375}, {"start": 2626.68, "end": 2627.22, "word": " plus", "probability": 0.9697265625}, {"start": 2627.22, "end": 2627.68, "word": " one", "probability": 0.94921875}, {"start": 2627.68, "end": 2628.28, "word": " two", "probability": 0.69970703125}, {"start": 2628.28, "end": 2628.76, "word": " n", "probability": 0.982421875}, {"start": 2628.76, "end": 2629.38, "word": " plus", "probability": 0.97607421875}, {"start": 2629.38, "end": 2629.8, "word": " one", "probability": 0.951171875}, {"start": 2629.8, "end": 2630.8, "word": " factorial", "probability": 0.88623046875}, {"start": 2630.8, "end": 2631.98, "word": " جاي", "probability": 0.94189453125}, {"start": 2631.98, "end": 2632.14, "word": " في", "probability": 0.56591796875}, {"start": 2632.14, "end": 2632.48, "word": " بالي", "probability": 0.954345703125}, {"start": 2632.48, "end": 2632.86, "word": " أسأل", "probability": 0.74658203125}, {"start": 2632.86, "end": 2633.36, "word": " السؤال", "probability": 0.9899088541666666}, {"start": 2633.36, "end": 2633.98, "word": " التالي", "probability": 0.9031575520833334}], "temperature": 1.0}, {"id": 114, "seek": 265815, "start": 2635.49, "end": 2658.15, "text": "لو كانت المسألة هو المطلوب بيه جالي بد ايه الماكرونسيز لصين تلات اكس كيف اسويه بتروح لصين ال X بتروحش لصين تلات اكس كل مشتق كل مرة بده هجيبلك تلاتة تلاتة تلاتة تربية تلاتة تكريه يعني بده تتكلقعي شوية", "tokens": [1211, 2407, 25961, 2655, 9673, 3794, 10721, 37977, 31439, 9673, 9566, 1211, 37746, 4724, 1829, 3224, 10874, 6027, 1829, 47525, 1975, 1829, 3224, 9673, 995, 4117, 32887, 1863, 3794, 1829, 11622, 5296, 9381, 9957, 6055, 1211, 9307, 1975, 4117, 3794, 9122, 33911, 24525, 45865, 3224, 39894, 32887, 5016, 5296, 9381, 9957, 2423, 1783, 39894, 32887, 5016, 8592, 5296, 9381, 9957, 6055, 1211, 9307, 1975, 4117, 3794, 28242, 37893, 2655, 4587, 28242, 3714, 25720, 47525, 3224, 8032, 7435, 1829, 3555, 23275, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 6055, 25513, 10632, 6055, 1211, 9307, 3660, 6055, 4117, 16572, 3224, 37495, 22653, 47525, 3224, 6055, 2655, 28820, 4587, 3615, 1829, 13412, 2407, 10632], "avg_logprob": -0.3111645227823502, "compression_ratio": 2.0514285714285716, "no_speech_prob": 0.0, "words": [{"start": 2635.49, "end": 2635.91, "word": "لو", "probability": 0.7069091796875}, {"start": 2635.91, "end": 2636.37, "word": " كانت", "probability": 0.7880859375}, {"start": 2636.37, "end": 2637.23, "word": " المسألة", "probability": 0.83612060546875}, {"start": 2637.23, "end": 2637.77, "word": " هو", "probability": 0.8046875}, {"start": 2637.77, "end": 2638.53, "word": " المطلوب", "probability": 0.9676513671875}, {"start": 2638.53, "end": 2639.43, "word": " بيه", "probability": 0.7459309895833334}, {"start": 2639.43, "end": 2641.99, "word": " جالي", "probability": 0.465087890625}, {"start": 2641.99, "end": 2642.27, "word": " بد", "probability": 0.376220703125}, {"start": 2642.27, "end": 2642.89, "word": " ايه", "probability": 0.791259765625}, {"start": 2642.89, "end": 2643.95, "word": " الماكرونسيز", "probability": 0.49063873291015625}, {"start": 2643.95, "end": 2644.63, "word": " لصين", "probability": 0.548583984375}, {"start": 2644.63, "end": 2645.13, "word": " تلات", "probability": 0.8063151041666666}, {"start": 2645.13, "end": 2645.43, "word": " اكس", "probability": 0.8665364583333334}, {"start": 2645.43, "end": 2645.69, "word": " كيف", "probability": 0.8720703125}, {"start": 2645.69, "end": 2646.71, "word": " اسويه", "probability": 0.5933430989583334}, {"start": 2646.71, "end": 2649.33, "word": " بتروح", "probability": 0.8837890625}, {"start": 2649.33, "end": 2649.93, "word": " لصين", "probability": 0.9729817708333334}, {"start": 2649.93, "end": 2650.13, "word": " ال", "probability": 0.7568359375}, {"start": 2650.13, "end": 2650.49, "word": " X", "probability": 0.67431640625}, {"start": 2650.49, "end": 2650.89, "word": " بتروحش", "probability": 0.817138671875}, {"start": 2650.89, "end": 2651.21, "word": " لصين", "probability": 0.9461263020833334}, {"start": 2651.21, "end": 2651.51, "word": " تلات", "probability": 0.970703125}, {"start": 2651.51, "end": 2651.69, "word": " اكس", "probability": 0.9698893229166666}, {"start": 2651.69, "end": 2652.03, "word": " كل", "probability": 0.27783203125}, {"start": 2652.03, "end": 2652.57, "word": " مشتق", "probability": 0.8642578125}, {"start": 2652.57, "end": 2652.79, "word": " كل", "probability": 0.89306640625}, {"start": 2652.79, "end": 2653.11, "word": " مرة", "probability": 0.95556640625}, {"start": 2653.11, "end": 2653.27, "word": " بده", "probability": 0.525146484375}, {"start": 2653.27, "end": 2653.71, "word": " هجيبلك", "probability": 0.81962890625}, {"start": 2653.71, "end": 2654.29, "word": " تلاتة", "probability": 0.96044921875}, {"start": 2654.29, "end": 2655.11, "word": " تلاتة", "probability": 0.9468994140625}, {"start": 2655.11, "end": 2655.47, "word": " تلاتة", "probability": 0.9833984375}, {"start": 2655.47, "end": 2655.89, "word": " تربية", "probability": 0.8069661458333334}, {"start": 2655.89, "end": 2656.31, "word": " تلاتة", "probability": 0.9276123046875}, {"start": 2656.31, "end": 2656.65, "word": " تكريه", "probability": 0.56494140625}, {"start": 2656.65, "end": 2656.83, "word": " يعني", "probability": 0.954833984375}, {"start": 2656.83, "end": 2657.03, "word": " بده", "probability": 0.742431640625}, {"start": 2657.03, "end": 2657.73, "word": " تتكلقعي", "probability": 0.7146809895833334}, {"start": 2657.73, "end": 2658.15, "word": " شوية", "probability": 0.8849283854166666}], "temperature": 1.0}, {"id": 115, "seek": 268631, "start": 2658.47, "end": 2686.31, "text": "لذلك بنقولك روحة مفكوك sign ال X وبعد ما تخلص هنا بقوله بغير كل X بتلاتة X بيقول حصلنا على المطلوب مباشرة تمام هاي تلاتة تلاتة تلاتة اه هنا مش مكتوبة تلاتة هاي تلاتة وهيهم تمام طيب بدنا نيجي لنمرى ال C", "tokens": [1211, 8848, 23275, 4724, 1863, 39648, 4117, 12602, 2407, 5016, 3660, 3714, 5172, 4117, 2407, 4117, 1465, 2423, 1783, 46599, 22488, 19446, 6055, 9778, 1211, 9381, 34105, 4724, 39648, 3224, 4724, 17082, 13546, 28242, 1783, 39894, 1211, 9307, 3660, 1783, 4724, 1829, 39648, 11331, 36520, 8315, 15844, 9673, 9566, 1211, 37746, 3714, 3555, 33599, 25720, 46811, 10943, 8032, 47302, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 1975, 3224, 34105, 37893, 3714, 4117, 2655, 37746, 3660, 6055, 1211, 9307, 3660, 8032, 47302, 6055, 1211, 9307, 3660, 37037, 1829, 16095, 46811, 10943, 23032, 1829, 3555, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 1863, 29973, 7578, 2423, 383], "avg_logprob": -0.22086148997684857, "compression_ratio": 1.8677248677248677, "no_speech_prob": 0.0, "words": [{"start": 2658.47, "end": 2659.09, "word": "لذلك", "probability": 0.793701171875}, {"start": 2659.09, "end": 2659.61, "word": " بنقولك", "probability": 0.618408203125}, {"start": 2659.61, "end": 2660.15, "word": " روحة", "probability": 0.68048095703125}, {"start": 2660.15, "end": 2660.73, "word": " مفكوك", "probability": 0.96279296875}, {"start": 2660.73, "end": 2661.21, "word": " sign", "probability": 0.34033203125}, {"start": 2661.21, "end": 2661.47, "word": " ال", "probability": 0.384033203125}, {"start": 2661.47, "end": 2661.81, "word": " X", "probability": 0.595703125}, {"start": 2661.81, "end": 2662.71, "word": " وبعد", "probability": 0.738037109375}, {"start": 2662.71, "end": 2662.87, "word": " ما", "probability": 0.943359375}, {"start": 2662.87, "end": 2663.71, "word": " تخلص", "probability": 0.9747314453125}, {"start": 2663.71, "end": 2664.29, "word": " هنا", "probability": 0.94482421875}, {"start": 2664.29, "end": 2665.67, "word": " بقوله", "probability": 0.734375}, {"start": 2665.67, "end": 2667.57, "word": " بغير", "probability": 0.8308919270833334}, {"start": 2667.57, "end": 2667.89, "word": " كل", "probability": 0.96533203125}, {"start": 2667.89, "end": 2668.19, "word": " X", "probability": 0.9619140625}, {"start": 2668.19, "end": 2668.87, "word": " بتلاتة", "probability": 0.79827880859375}, {"start": 2668.87, "end": 2669.17, "word": " X", "probability": 0.8984375}, {"start": 2669.17, "end": 2669.67, "word": " بيقول", "probability": 0.58154296875}, {"start": 2669.67, "end": 2670.31, "word": " حصلنا", "probability": 0.9527994791666666}, {"start": 2670.31, "end": 2670.61, "word": " على", "probability": 0.896484375}, {"start": 2670.61, "end": 2671.47, "word": " المطلوب", "probability": 0.983642578125}, {"start": 2671.47, "end": 2672.33, "word": " مباشرة", "probability": 0.9881591796875}, {"start": 2672.33, "end": 2673.63, "word": " تمام", "probability": 0.6500244140625}, {"start": 2673.63, "end": 2676.57, "word": " هاي", "probability": 0.48779296875}, {"start": 2676.57, "end": 2677.11, "word": " تلاتة", "probability": 0.974365234375}, {"start": 2677.11, "end": 2677.83, "word": " تلاتة", "probability": 0.9671630859375}, {"start": 2677.83, "end": 2678.57, "word": " تلاتة", "probability": 0.9400634765625}, {"start": 2678.57, "end": 2678.89, "word": " اه", "probability": 0.6258544921875}, {"start": 2678.89, "end": 2679.09, "word": " هنا", "probability": 0.7451171875}, {"start": 2679.09, "end": 2679.31, "word": " مش", "probability": 0.97119140625}, {"start": 2679.31, "end": 2679.81, "word": " مكتوبة", "probability": 0.91943359375}, {"start": 2679.81, "end": 2680.37, "word": " تلاتة", "probability": 0.9847412109375}, {"start": 2680.37, "end": 2680.83, "word": " هاي", "probability": 0.7705078125}, {"start": 2680.83, "end": 2681.51, "word": " تلاتة", "probability": 0.9888916015625}, {"start": 2681.51, "end": 2682.07, "word": " وهيهم", "probability": 0.7234700520833334}, {"start": 2682.07, "end": 2683.65, "word": " تمام", "probability": 0.926513671875}, {"start": 2683.65, "end": 2684.87, "word": " طيب", "probability": 0.8135579427083334}, {"start": 2684.87, "end": 2685.17, "word": " بدنا", "probability": 0.919921875}, {"start": 2685.17, "end": 2685.43, "word": " نيجي", "probability": 0.8935546875}, {"start": 2685.43, "end": 2686.01, "word": " لنمرى", "probability": 0.7916259765625}, {"start": 2686.01, "end": 2686.15, "word": " ال", "probability": 0.67333984375}, {"start": 2686.15, "end": 2686.31, "word": " C", "probability": 0.81298828125}], "temperature": 1.0}, {"id": 116, "seek": 270067, "start": 2692.43, "end": 2700.67, "text": "قصين ال X قدام عدة طرق للحصول على ما كنا نلها طريقة الأولى بدمشي زي هيك", "tokens": [4587, 9381, 9957, 2423, 1783, 12174, 3215, 10943, 6225, 41891, 23032, 2288, 4587, 24976, 5016, 9381, 12610, 15844, 19446, 9122, 8315, 8717, 1211, 11296, 23032, 16572, 28671, 16247, 12610, 7578, 4724, 40448, 8592, 1829, 30767, 1829, 39896, 4117], "avg_logprob": -0.3808093086267129, "compression_ratio": 1.2857142857142858, "no_speech_prob": 0.0, "words": [{"start": 2692.43, "end": 2693.33, "word": "قصين", "probability": 0.3124186197916667}, {"start": 2693.33, "end": 2693.51, "word": " ال", "probability": 0.66064453125}, {"start": 2693.51, "end": 2693.91, "word": " X", "probability": 0.414794921875}, {"start": 2693.91, "end": 2694.55, "word": " قدام", "probability": 0.822265625}, {"start": 2694.55, "end": 2695.09, "word": " عدة", "probability": 0.856201171875}, {"start": 2695.09, "end": 2695.83, "word": " طرق", "probability": 0.9900716145833334}, {"start": 2695.83, "end": 2696.97, "word": " للحصول", "probability": 0.9049072265625}, {"start": 2696.97, "end": 2697.23, "word": " على", "probability": 0.84912109375}, {"start": 2697.23, "end": 2697.39, "word": " ما", "probability": 0.38525390625}, {"start": 2697.39, "end": 2697.73, "word": " كنا", "probability": 0.3990478515625}, {"start": 2697.73, "end": 2698.23, "word": " نلها", "probability": 0.8372395833333334}, {"start": 2698.23, "end": 2699.19, "word": " طريقة", "probability": 0.744384765625}, {"start": 2699.19, "end": 2699.53, "word": " الأولى", "probability": 0.8653971354166666}, {"start": 2699.53, "end": 2700.11, "word": " بدمشي", "probability": 0.72137451171875}, {"start": 2700.11, "end": 2700.33, "word": " زي", "probability": 0.765380859375}, {"start": 2700.33, "end": 2700.67, "word": " هيك", "probability": 0.863037109375}], "temperature": 1.0}, {"id": 117, "seek": 271918, "start": 2701.48, "end": 2719.18, "text": "قصتنا طويلة هذه، مظبوط؟ واحد قال لي لأ لأ لأ احنا ال section اللي فات أخدنا differentiation term by term قلت له صح قال لي إذا لو جينا لهذه عملنا لها differentiation term by term بنجيب ال cosine تبع ال X", "tokens": [4587, 9381, 2655, 8315, 23032, 2407, 26895, 3660, 29538, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 36764, 24401, 50239, 32239, 5296, 10721, 5296, 10721, 5296, 10721, 1975, 5016, 8315, 2423, 3541, 13672, 1829, 6156, 9307, 5551, 9778, 3215, 8315, 38902, 1433, 538, 1433, 12174, 1211, 2655, 46740, 20328, 5016, 50239, 32239, 11933, 15730, 45164, 10874, 1829, 8315, 46740, 24192, 6225, 42213, 8315, 5296, 11296, 38902, 1433, 538, 1433, 44945, 7435, 1829, 3555, 2423, 23565, 6055, 3555, 3615, 2423, 1783], "avg_logprob": -0.17412109281867744, "compression_ratio": 1.6483516483516483, "no_speech_prob": 0.0, "words": [{"start": 2701.48, "end": 2702.16, "word": "قصتنا", "probability": 0.746337890625}, {"start": 2702.16, "end": 2702.7, "word": " طويلة", "probability": 0.9476318359375}, {"start": 2702.7, "end": 2703.26, "word": " هذه،", "probability": 0.6083984375}, {"start": 2703.26, "end": 2704.32, "word": " مظبوط؟", "probability": 0.8255208333333334}, {"start": 2704.32, "end": 2705.1, "word": " واحد", "probability": 0.88623046875}, {"start": 2705.1, "end": 2705.32, "word": " قال", "probability": 0.96875}, {"start": 2705.32, "end": 2705.48, "word": " لي", "probability": 0.58154296875}, {"start": 2705.48, "end": 2705.78, "word": " لأ", "probability": 0.54541015625}, {"start": 2705.78, "end": 2705.96, "word": " لأ", "probability": 0.95263671875}, {"start": 2705.96, "end": 2706.12, "word": " لأ", "probability": 0.943359375}, {"start": 2706.12, "end": 2706.48, "word": " احنا", "probability": 0.9073893229166666}, {"start": 2706.48, "end": 2706.62, "word": " ال", "probability": 0.9091796875}, {"start": 2706.62, "end": 2707.04, "word": " section", "probability": 0.849609375}, {"start": 2707.04, "end": 2707.4, "word": " اللي", "probability": 0.856689453125}, {"start": 2707.4, "end": 2707.92, "word": " فات", "probability": 0.984375}, {"start": 2707.92, "end": 2708.78, "word": " أخدنا", "probability": 0.89501953125}, {"start": 2708.78, "end": 2709.36, "word": " differentiation", "probability": 0.92822265625}, {"start": 2709.36, "end": 2710.34, "word": " term", "probability": 0.970703125}, {"start": 2710.34, "end": 2710.66, "word": " by", "probability": 0.95654296875}, {"start": 2710.66, "end": 2711.14, "word": " term", "probability": 0.9716796875}, {"start": 2711.14, "end": 2711.54, "word": " قلت", "probability": 0.5841471354166666}, {"start": 2711.54, "end": 2711.62, "word": " له", "probability": 0.67138671875}, {"start": 2711.62, "end": 2711.96, "word": " صح", "probability": 0.99072265625}, {"start": 2711.96, "end": 2712.58, "word": " قال", "probability": 0.67333984375}, {"start": 2712.58, "end": 2712.72, "word": " لي", "probability": 0.77294921875}, {"start": 2712.72, "end": 2712.98, "word": " إذا", "probability": 0.915283203125}, {"start": 2712.98, "end": 2713.32, "word": " لو", "probability": 0.97412109375}, {"start": 2713.32, "end": 2713.72, "word": " جينا", "probability": 0.9928385416666666}, {"start": 2713.72, "end": 2714.46, "word": " لهذه", "probability": 0.9375}, {"start": 2714.46, "end": 2715.46, "word": " عملنا", "probability": 0.9324544270833334}, {"start": 2715.46, "end": 2715.66, "word": " لها", "probability": 0.778076171875}, {"start": 2715.66, "end": 2716.2, "word": " differentiation", "probability": 0.9638671875}, {"start": 2716.2, "end": 2716.96, "word": " term", "probability": 0.95361328125}, {"start": 2716.96, "end": 2717.2, "word": " by", "probability": 0.986328125}, {"start": 2717.2, "end": 2717.48, "word": " term", "probability": 0.97314453125}, {"start": 2717.48, "end": 2717.9, "word": " بنجيب", "probability": 0.9232177734375}, {"start": 2717.9, "end": 2718.04, "word": " ال", "probability": 0.86767578125}, {"start": 2718.04, "end": 2718.44, "word": " cosine", "probability": 0.90771484375}, {"start": 2718.44, "end": 2718.8, "word": " تبع", "probability": 0.9039713541666666}, {"start": 2718.8, "end": 2718.94, "word": " ال", "probability": 0.9404296875}, {"start": 2718.94, "end": 2719.18, "word": " X", "probability": 0.67919921875}], "temperature": 1.0}, {"id": 118, "seek": 274932, "start": 2719.66, "end": 2749.32, "text": "مظبوط او لا؟ يبقى هذه الطريقة تانية و احد قال لي لأ لأ بدي اعملها integration بدل ال differentiation دوله مظبوط يبقى هذي صار بجل الطريقة تلاتة للحصول على cosine ال X و أبسط واحدة فيهم هي ال cosine ال X اللي هو D على DX لمين لsin X يبقى بدنا نيجي هذه و نعملها differentiation term by term", "tokens": [2304, 19913, 3555, 2407, 9566, 1975, 2407, 20193, 22807, 7251, 3555, 4587, 7578, 8032, 8848, 3224, 41950, 16572, 28671, 6055, 7649, 10632, 4032, 1975, 24401, 50239, 32239, 5296, 10721, 5296, 10721, 4724, 16254, 1975, 25957, 1211, 11296, 10980, 47525, 1211, 2423, 38902, 11778, 12610, 3224, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 8032, 8848, 1829, 20328, 9640, 4724, 7435, 1211, 41950, 16572, 28671, 6055, 1211, 9307, 3660, 24976, 5016, 9381, 12610, 15844, 23565, 2423, 1783, 4032, 5551, 3555, 3794, 9566, 36764, 24401, 3660, 8978, 16095, 39896, 2423, 23565, 2423, 1783, 13672, 1829, 31439, 413, 15844, 48817, 32767, 9957, 5296, 19767, 1783, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 1829, 7435, 1829, 29538, 4032, 8717, 25957, 1211, 11296, 38902, 1433, 538, 1433], "avg_logprob": -0.33669355247289906, "compression_ratio": 1.783132530120482, "no_speech_prob": 4.410743713378906e-06, "words": [{"start": 2719.66, "end": 2720.18, "word": "مظبوط", "probability": 0.697119140625}, {"start": 2720.18, "end": 2720.34, "word": " او", "probability": 0.614501953125}, {"start": 2720.34, "end": 2720.76, "word": " لا؟", "probability": 0.62890625}, {"start": 2720.76, "end": 2721.42, "word": " يبقى", "probability": 0.70751953125}, {"start": 2721.42, "end": 2722.12, "word": " هذه", "probability": 0.2898356119791667}, {"start": 2722.12, "end": 2722.72, "word": " الطريقة", "probability": 0.9033203125}, {"start": 2722.72, "end": 2723.02, "word": " تانية", "probability": 0.9591471354166666}, {"start": 2723.02, "end": 2723.14, "word": " و", "probability": 0.12548828125}, {"start": 2723.14, "end": 2723.36, "word": " احد", "probability": 0.3377685546875}, {"start": 2723.36, "end": 2723.52, "word": " قال", "probability": 0.462646484375}, {"start": 2723.52, "end": 2723.8, "word": " لي", "probability": 0.42724609375}, {"start": 2723.8, "end": 2724.06, "word": " لأ", "probability": 0.6065673828125}, {"start": 2724.06, "end": 2724.2, "word": " لأ", "probability": 0.825439453125}, {"start": 2724.2, "end": 2724.38, "word": " بدي", "probability": 0.5904541015625}, {"start": 2724.38, "end": 2724.68, "word": " اعملها", "probability": 0.835205078125}, {"start": 2724.68, "end": 2725.42, "word": " integration", "probability": 0.939453125}, {"start": 2725.42, "end": 2726.3, "word": " بدل", "probability": 0.967041015625}, {"start": 2726.3, "end": 2726.42, "word": " ال", "probability": 0.85546875}, {"start": 2726.42, "end": 2726.94, "word": " differentiation", "probability": 0.7119140625}, {"start": 2726.94, "end": 2727.5, "word": " دوله", "probability": 0.5181477864583334}, {"start": 2727.5, "end": 2728.1, "word": " مظبوط", "probability": 0.98408203125}, {"start": 2728.1, "end": 2728.62, "word": " يبقى", "probability": 0.929931640625}, {"start": 2728.62, "end": 2728.82, "word": " هذي", "probability": 0.7908528645833334}, {"start": 2728.82, "end": 2729.08, "word": " صار", "probability": 0.7109375}, {"start": 2729.08, "end": 2729.4, "word": " بجل", "probability": 0.4388834635416667}, {"start": 2729.4, "end": 2729.9, "word": " الطريقة", "probability": 0.9775390625}, {"start": 2729.9, "end": 2730.3, "word": " تلاتة", "probability": 0.85107421875}, {"start": 2730.3, "end": 2731.18, "word": " للحصول", "probability": 0.9349365234375}, {"start": 2731.18, "end": 2731.88, "word": " على", "probability": 0.93017578125}, {"start": 2731.88, "end": 2732.34, "word": " cosine", "probability": 0.45458984375}, {"start": 2732.34, "end": 2732.56, "word": " ال", "probability": 0.36865234375}, {"start": 2732.56, "end": 2732.74, "word": " X", "probability": 0.69091796875}, {"start": 2732.74, "end": 2733.0, "word": " و", "probability": 0.71337890625}, {"start": 2733.0, "end": 2733.68, "word": " أبسط", "probability": 0.86761474609375}, {"start": 2733.68, "end": 2734.24, "word": " واحدة", "probability": 0.9713541666666666}, {"start": 2734.24, "end": 2734.8, "word": " فيهم", "probability": 0.91455078125}, {"start": 2734.8, "end": 2735.76, "word": " هي", "probability": 0.73828125}, {"start": 2735.76, "end": 2736.56, "word": " ال", "probability": 0.83642578125}, {"start": 2736.56, "end": 2736.98, "word": " cosine", "probability": 0.8681640625}, {"start": 2736.98, "end": 2737.8, "word": " ال", "probability": 0.72802734375}, {"start": 2737.8, "end": 2738.2, "word": " X", "probability": 0.9736328125}, {"start": 2738.2, "end": 2738.66, "word": " اللي", "probability": 0.794677734375}, {"start": 2738.66, "end": 2738.88, "word": " هو", "probability": 0.9248046875}, {"start": 2738.88, "end": 2739.28, "word": " D", "probability": 0.447021484375}, {"start": 2739.28, "end": 2740.2, "word": " على", "probability": 0.71240234375}, {"start": 2740.2, "end": 2740.86, "word": " DX", "probability": 0.85595703125}, {"start": 2740.86, "end": 2741.58, "word": " لمين", "probability": 0.771484375}, {"start": 2741.58, "end": 2742.86, "word": " لsin", "probability": 0.5010986328125}, {"start": 2742.86, "end": 2743.38, "word": " X", "probability": 0.60205078125}, {"start": 2743.38, "end": 2743.86, "word": " يبقى", "probability": 0.9508056640625}, {"start": 2743.86, "end": 2744.22, "word": " بدنا", "probability": 0.81591796875}, {"start": 2744.22, "end": 2744.58, "word": " نيجي", "probability": 0.9549560546875}, {"start": 2744.58, "end": 2745.1, "word": " هذه", "probability": 0.79150390625}, {"start": 2745.1, "end": 2745.68, "word": " و", "probability": 0.98046875}, {"start": 2745.68, "end": 2746.32, "word": " نعملها", "probability": 0.835693359375}, {"start": 2746.32, "end": 2746.9, "word": " differentiation", "probability": 0.92919921875}, {"start": 2746.9, "end": 2748.06, "word": " term", "probability": 0.9677734375}, {"start": 2748.06, "end": 2748.58, "word": " by", "probability": 0.9697265625}, {"start": 2748.58, "end": 2749.32, "word": " term", "probability": 0.95703125}], "temperature": 1.0}, {"id": 119, "seek": 277414, "start": 2749.64, "end": 2774.14, "text": "بقول له كويس يبقى دي إيش بدها تساوي؟ واحد على واحد فاكتر اللي هو بواحد ناقص تلاتة x تربيع على تلاتة factorial زاد خمسة x وصة أربعة على خمسة factorial ناقص زاد ناقص واحد to the power n", "tokens": [3555, 39648, 46740, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 11778, 1829, 11933, 1829, 8592, 47525, 11296, 6055, 3794, 995, 45865, 22807, 36764, 24401, 15844, 36764, 24401, 6156, 995, 4117, 2655, 2288, 13672, 1829, 31439, 4724, 14407, 24401, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 2031, 6055, 25513, 40228, 15844, 6055, 1211, 9307, 3660, 36916, 30767, 18513, 16490, 2304, 3794, 3660, 2031, 4032, 9381, 3660, 5551, 25513, 27884, 15844, 16490, 2304, 3794, 3660, 36916, 8717, 995, 4587, 9381, 30767, 18513, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 297], "avg_logprob": -0.17730978309460307, "compression_ratio": 1.6836158192090396, "no_speech_prob": 0.0, "words": [{"start": 2749.64, "end": 2750.4, "word": "بقول", "probability": 0.8466796875}, {"start": 2750.4, "end": 2750.6, "word": " له", "probability": 0.394775390625}, {"start": 2750.6, "end": 2751.2, "word": " كويس", "probability": 0.93212890625}, {"start": 2751.2, "end": 2751.9, "word": " يبقى", "probability": 0.8172607421875}, {"start": 2751.9, "end": 2752.16, "word": " دي", "probability": 0.7353515625}, {"start": 2752.16, "end": 2752.3, "word": " إيش", "probability": 0.745361328125}, {"start": 2752.3, "end": 2752.62, "word": " بدها", "probability": 0.83935546875}, {"start": 2752.62, "end": 2753.72, "word": " تساوي؟", "probability": 0.87119140625}, {"start": 2753.72, "end": 2754.38, "word": " واحد", "probability": 0.80126953125}, {"start": 2754.38, "end": 2755.16, "word": " على", "probability": 0.73681640625}, {"start": 2755.16, "end": 2755.46, "word": " واحد", "probability": 0.9892578125}, {"start": 2755.46, "end": 2755.86, "word": " فاكتر", "probability": 0.820703125}, {"start": 2755.86, "end": 2756.04, "word": " اللي", "probability": 0.94677734375}, {"start": 2756.04, "end": 2756.16, "word": " هو", "probability": 0.97119140625}, {"start": 2756.16, "end": 2756.7, "word": " بواحد", "probability": 0.9241536458333334}, {"start": 2756.7, "end": 2757.9, "word": " ناقص", "probability": 0.91162109375}, {"start": 2757.9, "end": 2759.1, "word": " تلاتة", "probability": 0.9334716796875}, {"start": 2759.1, "end": 2759.58, "word": " x", "probability": 0.4296875}, {"start": 2759.58, "end": 2760.38, "word": " تربيع", "probability": 0.6126302083333334}, {"start": 2760.38, "end": 2761.1, "word": " على", "probability": 0.78173828125}, {"start": 2761.1, "end": 2761.8, "word": " تلاتة", "probability": 0.9697265625}, {"start": 2761.8, "end": 2762.5, "word": " factorial", "probability": 0.783203125}, {"start": 2762.5, "end": 2763.82, "word": " زاد", "probability": 0.760986328125}, {"start": 2763.82, "end": 2765.04, "word": " خمسة", "probability": 0.9814453125}, {"start": 2765.04, "end": 2765.64, "word": " x", "probability": 0.97900390625}, {"start": 2765.64, "end": 2766.14, "word": " وصة", "probability": 0.4969075520833333}, {"start": 2766.14, "end": 2766.74, "word": " أربعة", "probability": 0.8834635416666666}, {"start": 2766.74, "end": 2767.48, "word": " على", "probability": 0.8896484375}, {"start": 2767.48, "end": 2768.24, "word": " خمسة", "probability": 0.9932861328125}, {"start": 2768.24, "end": 2769.08, "word": " factorial", "probability": 0.87890625}, {"start": 2769.08, "end": 2770.34, "word": " ناقص", "probability": 0.98046875}, {"start": 2770.34, "end": 2771.16, "word": " زاد", "probability": 0.814208984375}, {"start": 2771.16, "end": 2772.18, "word": " ناقص", "probability": 0.9852294921875}, {"start": 2772.18, "end": 2772.6, "word": " واحد", "probability": 0.986328125}, {"start": 2772.6, "end": 2772.78, "word": " to", "probability": 0.85595703125}, {"start": 2772.78, "end": 2773.02, "word": " the", "probability": 0.92333984375}, {"start": 2773.02, "end": 2773.56, "word": " power", "probability": 0.9072265625}, {"start": 2773.56, "end": 2774.14, "word": " n", "probability": 0.71875}], "temperature": 1.0}, {"id": 120, "seek": 278667, "start": 2774.59, "end": 2786.67, "text": "2n زائد واحد x أوس 2n على 2n زائد واحد factorial زائد إلى ما شاء الله", "tokens": [17, 77, 30767, 16373, 3215, 36764, 24401, 2031, 34051, 3794, 568, 77, 15844, 568, 77, 30767, 16373, 3215, 36764, 24401, 36916, 30767, 16373, 3215, 30731, 19446, 13412, 16606, 21984], "avg_logprob": -0.2361979141831398, "compression_ratio": 1.3048780487804879, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2774.59, "end": 2776.01, "word": "2n", "probability": 0.59326171875}, {"start": 2776.01, "end": 2776.75, "word": " زائد", "probability": 0.618408203125}, {"start": 2776.75, "end": 2777.37, "word": " واحد", "probability": 0.803466796875}, {"start": 2777.37, "end": 2778.21, "word": " x", "probability": 0.68798828125}, {"start": 2778.21, "end": 2778.71, "word": " أوس", "probability": 0.53466796875}, {"start": 2778.71, "end": 2779.95, "word": " 2n", "probability": 0.733154296875}, {"start": 2779.95, "end": 2780.87, "word": " على", "probability": 0.491943359375}, {"start": 2780.87, "end": 2782.25, "word": " 2n", "probability": 0.9384765625}, {"start": 2782.25, "end": 2782.95, "word": " زائد", "probability": 0.9571940104166666}, {"start": 2782.95, "end": 2783.49, "word": " واحد", "probability": 0.97021484375}, {"start": 2783.49, "end": 2784.37, "word": " factorial", "probability": 0.78564453125}, {"start": 2784.37, "end": 2785.41, "word": " زائد", "probability": 0.9620768229166666}, {"start": 2785.41, "end": 2785.71, "word": " إلى", "probability": 0.63916015625}, {"start": 2785.71, "end": 2785.99, "word": " ما", "probability": 0.9765625}, {"start": 2785.99, "end": 2786.35, "word": " شاء", "probability": 0.991455078125}, {"start": 2786.35, "end": 2786.67, "word": " الله", "probability": 0.95458984375}], "temperature": 1.0}, {"id": 121, "seek": 281623, "start": 2789.01, "end": 2816.23, "text": "طيب يبقى أصبحت cosine ال X يساوي واحد ناقص شو رايك هذه تلاتة factorial مش بقدر أشيلها و أكتبها تلاتة في اتنين factorial و هذه بقدر أشيلها و أكتبها خمسة في أربعة factorial و هذه بقدر أشيلها أفرق و أقول هذه اتنين N زائد واحد في اتنين N factorial", "tokens": [9566, 1829, 3555, 7251, 3555, 4587, 7578, 5551, 9381, 3555, 33753, 23565, 2423, 1783, 7251, 3794, 995, 45865, 36764, 24401, 8717, 995, 4587, 9381, 13412, 2407, 12602, 47302, 4117, 29538, 6055, 1211, 9307, 3660, 36916, 37893, 4724, 28543, 2288, 5551, 8592, 26895, 11296, 4032, 5551, 4117, 2655, 3555, 11296, 6055, 1211, 9307, 3660, 8978, 1975, 2655, 1863, 9957, 36916, 4032, 29538, 4724, 28543, 2288, 5551, 8592, 26895, 11296, 4032, 5551, 4117, 2655, 3555, 11296, 16490, 2304, 3794, 3660, 8978, 5551, 25513, 27884, 36916, 4032, 29538, 4724, 28543, 2288, 5551, 8592, 26895, 11296, 5551, 5172, 2288, 4587, 4032, 5551, 39648, 29538, 1975, 2655, 1863, 9957, 426, 30767, 16373, 3215, 36764, 24401, 8978, 1975, 2655, 1863, 9957, 426, 36916], "avg_logprob": -0.14790783847792674, "compression_ratio": 2.0153846153846153, "no_speech_prob": 0.0, "words": [{"start": 2789.01, "end": 2789.83, "word": "طيب", "probability": 0.76953125}, {"start": 2789.83, "end": 2790.27, "word": " يبقى", "probability": 0.9249267578125}, {"start": 2790.27, "end": 2790.97, "word": " أصبحت", "probability": 0.8760986328125}, {"start": 2790.97, "end": 2791.43, "word": " cosine", "probability": 0.267578125}, {"start": 2791.43, "end": 2791.91, "word": " ال", "probability": 0.58154296875}, {"start": 2791.91, "end": 2792.21, "word": " X", "probability": 0.5517578125}, {"start": 2792.21, "end": 2792.95, "word": " يساوي", "probability": 0.92919921875}, {"start": 2792.95, "end": 2793.47, "word": " واحد", "probability": 0.914306640625}, {"start": 2793.47, "end": 2794.05, "word": " ناقص", "probability": 0.9625244140625}, {"start": 2794.05, "end": 2794.73, "word": " شو", "probability": 0.736328125}, {"start": 2794.73, "end": 2795.13, "word": " رايك", "probability": 0.9095052083333334}, {"start": 2795.13, "end": 2795.37, "word": " هذه", "probability": 0.517578125}, {"start": 2795.37, "end": 2795.89, "word": " تلاتة", "probability": 0.81622314453125}, {"start": 2795.89, "end": 2796.55, "word": " factorial", "probability": 0.6982421875}, {"start": 2796.55, "end": 2797.27, "word": " مش", "probability": 0.62939453125}, {"start": 2797.27, "end": 2797.81, "word": " بقدر", "probability": 0.9807942708333334}, {"start": 2797.81, "end": 2798.25, "word": " أشيلها", "probability": 0.8934326171875}, {"start": 2798.25, "end": 2798.41, "word": " و", "probability": 0.8525390625}, {"start": 2798.41, "end": 2799.07, "word": " أكتبها", "probability": 0.9376953125}, {"start": 2799.07, "end": 2799.89, "word": " تلاتة", "probability": 0.9566650390625}, {"start": 2799.89, "end": 2800.05, "word": " في", "probability": 0.69384765625}, {"start": 2800.05, "end": 2800.39, "word": " اتنين", "probability": 0.9622802734375}, {"start": 2800.39, "end": 2801.13, "word": " factorial", "probability": 0.85888671875}, {"start": 2801.13, "end": 2802.21, "word": " و", "probability": 0.3955078125}, {"start": 2802.21, "end": 2802.65, "word": " هذه", "probability": 0.6787109375}, {"start": 2802.65, "end": 2803.19, "word": " بقدر", "probability": 0.9915364583333334}, {"start": 2803.19, "end": 2803.59, "word": " أشيلها", "probability": 0.9561767578125}, {"start": 2803.59, "end": 2803.73, "word": " و", "probability": 0.96826171875}, {"start": 2803.73, "end": 2804.13, "word": " أكتبها", "probability": 0.94951171875}, {"start": 2804.13, "end": 2805.21, "word": " خمسة", "probability": 0.9302978515625}, {"start": 2805.21, "end": 2805.39, "word": " في", "probability": 0.990234375}, {"start": 2805.39, "end": 2805.99, "word": " أربعة", "probability": 0.8229166666666666}, {"start": 2805.99, "end": 2806.91, "word": " factorial", "probability": 0.87109375}, {"start": 2806.91, "end": 2807.61, "word": " و", "probability": 0.78955078125}, {"start": 2807.61, "end": 2807.99, "word": " هذه", "probability": 0.875}, {"start": 2807.99, "end": 2808.65, "word": " بقدر", "probability": 0.9952799479166666}, {"start": 2808.65, "end": 2809.29, "word": " أشيلها", "probability": 0.975341796875}, {"start": 2809.29, "end": 2810.11, "word": " أفرق", "probability": 0.66741943359375}, {"start": 2810.11, "end": 2810.55, "word": " و", "probability": 0.9580078125}, {"start": 2810.55, "end": 2810.91, "word": " أقول", "probability": 0.92333984375}, {"start": 2810.91, "end": 2811.35, "word": " هذه", "probability": 0.7919921875}, {"start": 2811.35, "end": 2811.97, "word": " اتنين", "probability": 0.9447021484375}, {"start": 2811.97, "end": 2812.41, "word": " N", "probability": 0.68359375}, {"start": 2812.41, "end": 2813.13, "word": " زائد", "probability": 0.9345703125}, {"start": 2813.13, "end": 2813.75, "word": " واحد", "probability": 0.989013671875}, {"start": 2813.75, "end": 2814.17, "word": " في", "probability": 0.935546875}, {"start": 2814.17, "end": 2814.89, "word": " اتنين", "probability": 0.981201171875}, {"start": 2814.89, "end": 2815.49, "word": " N", "probability": 0.9453125}, {"start": 2815.49, "end": 2816.23, "word": " factorial", "probability": 0.8515625}], "temperature": 1.0}, {"id": 122, "seek": 283953, "start": 2817.21, "end": 2839.53, "text": "ونبدأ نختصر اتنين تلاتة مع تلاتة وخمسة مع خمسة و ال N زائد اتنين مع ال N زائد اتنين يبقى آلة المسألة إلى ناقص X تربيع على اتنين factorial اللي بعده X أُص أربعة على أربعة factorial طب اللي بعده؟", "tokens": [2407, 1863, 44510, 10721, 8717, 46456, 9381, 2288, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 20449, 6055, 1211, 9307, 3660, 4032, 9778, 2304, 3794, 3660, 20449, 16490, 2304, 3794, 3660, 4032, 2423, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 20449, 2423, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 19753, 37977, 9673, 3794, 10721, 37977, 30731, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3615, 15844, 1975, 2655, 1863, 9957, 36916, 13672, 1829, 39182, 3224, 1783, 5551, 10859, 9381, 5551, 25513, 27884, 15844, 5551, 25513, 27884, 36916, 23032, 3555, 13672, 1829, 39182, 3224, 22807], "avg_logprob": -0.22633044731498944, "compression_ratio": 1.8895348837209303, "no_speech_prob": 0.0, "words": [{"start": 2817.21, "end": 2817.89, "word": "ونبدأ", "probability": 0.52911376953125}, {"start": 2817.89, "end": 2818.59, "word": " نختصر", "probability": 0.82061767578125}, {"start": 2818.59, "end": 2819.61, "word": " اتنين", "probability": 0.659576416015625}, {"start": 2819.61, "end": 2820.41, "word": " تلاتة", "probability": 0.85986328125}, {"start": 2820.41, "end": 2820.61, "word": " مع", "probability": 0.962890625}, {"start": 2820.61, "end": 2821.37, "word": " تلاتة", "probability": 0.9859619140625}, {"start": 2821.37, "end": 2822.47, "word": " وخمسة", "probability": 0.9033203125}, {"start": 2822.47, "end": 2822.63, "word": " مع", "probability": 0.9833984375}, {"start": 2822.63, "end": 2823.51, "word": " خمسة", "probability": 0.9951171875}, {"start": 2823.51, "end": 2823.85, "word": " و", "probability": 0.73193359375}, {"start": 2823.85, "end": 2824.03, "word": " ال", "probability": 0.77392578125}, {"start": 2824.03, "end": 2824.33, "word": " N", "probability": 0.4404296875}, {"start": 2824.33, "end": 2824.81, "word": " زائد", "probability": 0.8232421875}, {"start": 2824.81, "end": 2825.27, "word": " اتنين", "probability": 0.9884033203125}, {"start": 2825.27, "end": 2825.49, "word": " مع", "probability": 0.98388671875}, {"start": 2825.49, "end": 2825.67, "word": " ال", "probability": 0.9111328125}, {"start": 2825.67, "end": 2825.99, "word": " N", "probability": 0.97412109375}, {"start": 2825.99, "end": 2826.61, "word": " زائد", "probability": 0.9728190104166666}, {"start": 2826.61, "end": 2827.19, "word": " اتنين", "probability": 0.991943359375}, {"start": 2827.19, "end": 2828.07, "word": " يبقى", "probability": 0.9276123046875}, {"start": 2828.07, "end": 2828.47, "word": " آلة", "probability": 0.52490234375}, {"start": 2828.47, "end": 2829.27, "word": " المسألة", "probability": 0.9307861328125}, {"start": 2829.27, "end": 2829.57, "word": " إلى", "probability": 0.52587890625}, {"start": 2829.57, "end": 2830.57, "word": " ناقص", "probability": 0.90283203125}, {"start": 2830.57, "end": 2830.95, "word": " X", "probability": 0.68994140625}, {"start": 2830.95, "end": 2831.63, "word": " تربيع", "probability": 0.7879638671875}, {"start": 2831.63, "end": 2831.85, "word": " على", "probability": 0.7783203125}, {"start": 2831.85, "end": 2832.27, "word": " اتنين", "probability": 0.9517822265625}, {"start": 2832.27, "end": 2833.01, "word": " factorial", "probability": 0.5654296875}, {"start": 2833.01, "end": 2833.83, "word": " اللي", "probability": 0.8857421875}, {"start": 2833.83, "end": 2834.37, "word": " بعده", "probability": 0.92333984375}, {"start": 2834.37, "end": 2834.85, "word": " X", "probability": 0.9677734375}, {"start": 2834.85, "end": 2835.41, "word": " أُص", "probability": 0.47900390625}, {"start": 2835.41, "end": 2836.19, "word": " أربعة", "probability": 0.7019856770833334}, {"start": 2836.19, "end": 2836.65, "word": " على", "probability": 0.4892578125}, {"start": 2836.65, "end": 2837.35, "word": " أربعة", "probability": 0.86328125}, {"start": 2837.35, "end": 2838.15, "word": " factorial", "probability": 0.84619140625}, {"start": 2838.15, "end": 2838.71, "word": " طب", "probability": 0.83544921875}, {"start": 2838.71, "end": 2838.89, "word": " اللي", "probability": 0.97998046875}, {"start": 2838.89, "end": 2839.53, "word": " بعده؟", "probability": 0.90283203125}], "temperature": 1.0}, {"id": 123, "seek": 285713, "start": 2851.91, "end": 2857.13, "text": "يبقى هنا ناقص ونبقى المشيل لغاية ناقص واحد", "tokens": [1829, 3555, 4587, 7578, 34105, 8717, 995, 4587, 9381, 4032, 1863, 3555, 4587, 7578, 9673, 8592, 26895, 5296, 17082, 995, 10632, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.4243861511349678, "compression_ratio": 1.1492537313432836, "no_speech_prob": 0.0, "words": [{"start": 2851.91, "end": 2852.99, "word": "يبقى", "probability": 0.611236572265625}, {"start": 2852.99, "end": 2853.29, "word": " هنا", "probability": 0.88916015625}, {"start": 2853.29, "end": 2854.25, "word": " ناقص", "probability": 0.9285888671875}, {"start": 2854.25, "end": 2855.11, "word": " ونبقى", "probability": 0.610400390625}, {"start": 2855.11, "end": 2855.63, "word": " المشيل", "probability": 0.6455485026041666}, {"start": 2855.63, "end": 2856.11, "word": " لغاية", "probability": 0.9493408203125}, {"start": 2856.11, "end": 2856.67, "word": " ناقص", "probability": 0.9830322265625}, {"start": 2856.67, "end": 2857.13, "word": " واحد", "probability": 0.892333984375}], "temperature": 1.0}, {"id": 124, "seek": 288216, "start": 2865.42, "end": 2882.16, "text": "زاد نجاة يبقى هذا كله بصير عندي cosine ال X يسوى ال summation للحد النوني to the power N ال X is 2N على 2N factorial", "tokens": [11622, 18513, 8717, 7435, 995, 3660, 7251, 3555, 4587, 7578, 23758, 28242, 3224, 4724, 9381, 13546, 18871, 16254, 23565, 2423, 1783, 7251, 3794, 2407, 7578, 2423, 28811, 24976, 24401, 28239, 11536, 1829, 281, 264, 1347, 426, 2423, 1783, 307, 568, 45, 15844, 568, 45, 36916], "avg_logprob": -0.29211955873862555, "compression_ratio": 1.1631205673758864, "no_speech_prob": 0.0, "words": [{"start": 2865.42, "end": 2866.58, "word": "زاد", "probability": 0.6455078125}, {"start": 2866.58, "end": 2867.74, "word": " نجاة", "probability": 0.6885986328125}, {"start": 2867.74, "end": 2868.34, "word": " يبقى", "probability": 0.8809814453125}, {"start": 2868.34, "end": 2868.66, "word": " هذا", "probability": 0.79296875}, {"start": 2868.66, "end": 2869.22, "word": " كله", "probability": 0.951171875}, {"start": 2869.22, "end": 2869.68, "word": " بصير", "probability": 0.892578125}, {"start": 2869.68, "end": 2870.16, "word": " عندي", "probability": 0.7188720703125}, {"start": 2870.16, "end": 2870.98, "word": " cosine", "probability": 0.404296875}, {"start": 2870.98, "end": 2871.44, "word": " ال", "probability": 0.51708984375}, {"start": 2871.44, "end": 2871.8, "word": " X", "probability": 0.63037109375}, {"start": 2871.8, "end": 2872.92, "word": " يسوى", "probability": 0.84912109375}, {"start": 2872.92, "end": 2873.08, "word": " ال", "probability": 0.7626953125}, {"start": 2873.08, "end": 2874.0, "word": " summation", "probability": 0.9345703125}, {"start": 2874.0, "end": 2875.32, "word": " للحد", "probability": 0.86376953125}, {"start": 2875.32, "end": 2876.1, "word": " النوني", "probability": 0.8805338541666666}, {"start": 2876.1, "end": 2876.28, "word": " to", "probability": 0.77294921875}, {"start": 2876.28, "end": 2876.54, "word": " the", "probability": 0.90869140625}, {"start": 2876.54, "end": 2877.0, "word": " power", "probability": 0.88916015625}, {"start": 2877.0, "end": 2877.42, "word": " N", "probability": 0.685546875}, {"start": 2877.42, "end": 2878.06, "word": " ال", "probability": 0.201171875}, {"start": 2878.06, "end": 2878.46, "word": " X", "probability": 0.9462890625}, {"start": 2878.46, "end": 2878.84, "word": " is", "probability": 0.55126953125}, {"start": 2878.84, "end": 2879.64, "word": " 2N", "probability": 0.764404296875}, {"start": 2879.64, "end": 2880.4, "word": " على", "probability": 0.61865234375}, {"start": 2880.4, "end": 2881.44, "word": " 2N", "probability": 0.90087890625}, {"start": 2881.44, "end": 2882.16, "word": " factorial", "probability": 0.6552734375}], "temperature": 1.0}, {"id": 125, "seek": 291005, "start": 2882.45, "end": 2910.05, "text": "من عند n equal zero to infinity ليش من عند ال zero لأنه لما جيت اشتقت ما طارش ولا term ال term اللي انا اشتقته طالع واحد صحيح اذا موجود وبالتالي ال summation يبقى كما هو طيب هذا هو مفقوق مفقوق ال cosine شو بايل علينا مفقوق ال cosine تربيع", "tokens": [27842, 43242, 297, 2681, 4018, 281, 13202, 32239, 8592, 9154, 43242, 2423, 4018, 5296, 33456, 3224, 5296, 15042, 10874, 36081, 1975, 8592, 2655, 38149, 19446, 23032, 9640, 8592, 49429, 1433, 2423, 1433, 13672, 1829, 1975, 8315, 1975, 8592, 2655, 38149, 3224, 23032, 6027, 3615, 36764, 24401, 20328, 5016, 1829, 5016, 1975, 15730, 3714, 29245, 23328, 46599, 6027, 2655, 6027, 1829, 2423, 28811, 7251, 3555, 4587, 7578, 9122, 15042, 31439, 23032, 1829, 3555, 23758, 31439, 3714, 5172, 4587, 30543, 3714, 5172, 4587, 30543, 2423, 23565, 13412, 2407, 4724, 995, 26895, 25894, 8315, 3714, 5172, 4587, 30543, 2423, 23565, 6055, 2288, 21292, 3615], "avg_logprob": -0.253829663290697, "compression_ratio": 1.7235023041474655, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2882.45, "end": 2882.93, "word": "من", "probability": 0.37646484375}, {"start": 2882.93, "end": 2883.31, "word": " عند", "probability": 0.96875}, {"start": 2883.31, "end": 2883.69, "word": " n", "probability": 0.1800537109375}, {"start": 2883.69, "end": 2884.21, "word": " equal", "probability": 0.08355712890625}, {"start": 2884.21, "end": 2884.91, "word": " zero", "probability": 0.5625}, {"start": 2884.91, "end": 2885.29, "word": " to", "probability": 0.9404296875}, {"start": 2885.29, "end": 2886.35, "word": " infinity", "probability": 0.859375}, {"start": 2886.35, "end": 2887.45, "word": " ليش", "probability": 0.56512451171875}, {"start": 2887.45, "end": 2887.65, "word": " من", "probability": 0.90869140625}, {"start": 2887.65, "end": 2887.97, "word": " عند", "probability": 0.978515625}, {"start": 2887.97, "end": 2888.21, "word": " ال", "probability": 0.53662109375}, {"start": 2888.21, "end": 2888.71, "word": " zero", "probability": 0.6640625}, {"start": 2888.71, "end": 2889.51, "word": " لأنه", "probability": 0.5669759114583334}, {"start": 2889.51, "end": 2889.71, "word": " لما", "probability": 0.839111328125}, {"start": 2889.71, "end": 2889.97, "word": " جيت", "probability": 0.863037109375}, {"start": 2889.97, "end": 2890.63, "word": " اشتقت", "probability": 0.905029296875}, {"start": 2890.63, "end": 2890.89, "word": " ما", "probability": 0.318359375}, {"start": 2890.89, "end": 2891.59, "word": " طارش", "probability": 0.8250325520833334}, {"start": 2891.59, "end": 2891.95, "word": " ولا", "probability": 0.82177734375}, {"start": 2891.95, "end": 2892.53, "word": " term", "probability": 0.9599609375}, {"start": 2892.53, "end": 2892.75, "word": " ال", "probability": 0.325927734375}, {"start": 2892.75, "end": 2892.95, "word": " term", "probability": 0.7744140625}, {"start": 2892.95, "end": 2893.11, "word": " اللي", "probability": 0.892578125}, {"start": 2893.11, "end": 2893.21, "word": " انا", "probability": 0.479736328125}, {"start": 2893.21, "end": 2893.77, "word": " اشتقته", "probability": 0.873046875}, {"start": 2893.77, "end": 2894.03, "word": " طالع", "probability": 0.7538248697916666}, {"start": 2894.03, "end": 2894.39, "word": " واحد", "probability": 0.8974609375}, {"start": 2894.39, "end": 2895.03, "word": " صحيح", "probability": 0.9832763671875}, {"start": 2895.03, "end": 2895.61, "word": " اذا", "probability": 0.710693359375}, {"start": 2895.61, "end": 2896.41, "word": " موجود", "probability": 0.9698893229166666}, {"start": 2896.41, "end": 2897.15, "word": " وبالتالي", "probability": 0.93583984375}, {"start": 2897.15, "end": 2897.31, "word": " ال", "probability": 0.849609375}, {"start": 2897.31, "end": 2897.69, "word": " summation", "probability": 0.96044921875}, {"start": 2897.69, "end": 2898.93, "word": " يبقى", "probability": 0.9923095703125}, {"start": 2898.93, "end": 2899.55, "word": " كما", "probability": 0.965576171875}, {"start": 2899.55, "end": 2900.19, "word": " هو", "probability": 0.99462890625}, {"start": 2900.19, "end": 2901.67, "word": " طيب", "probability": 0.9112955729166666}, {"start": 2901.67, "end": 2902.25, "word": " هذا", "probability": 0.54638671875}, {"start": 2902.25, "end": 2902.63, "word": " هو", "probability": 0.52099609375}, {"start": 2902.63, "end": 2903.39, "word": " مفقوق", "probability": 0.805419921875}, {"start": 2903.39, "end": 2903.95, "word": " مفقوق", "probability": 0.853271484375}, {"start": 2903.95, "end": 2904.21, "word": " ال", "probability": 0.8037109375}, {"start": 2904.21, "end": 2904.87, "word": " cosine", "probability": 0.8779296875}, {"start": 2904.87, "end": 2905.61, "word": " شو", "probability": 0.8837890625}, {"start": 2905.61, "end": 2905.91, "word": " بايل", "probability": 0.5968424479166666}, {"start": 2905.91, "end": 2906.43, "word": " علينا", "probability": 0.9501953125}, {"start": 2906.43, "end": 2908.01, "word": " مفقوق", "probability": 0.920654296875}, {"start": 2908.01, "end": 2908.19, "word": " ال", "probability": 0.89892578125}, {"start": 2908.19, "end": 2908.57, "word": " cosine", "probability": 0.96337890625}, {"start": 2908.57, "end": 2910.05, "word": " تربيع", "probability": 0.8746337890625}], "temperature": 1.0}, {"id": 126, "seek": 293973, "start": 2918.31, "end": 2939.73, "text": "واجهة نظر مش عارف هل هي وجهة نظر وجهها في النظر غير وجهها في النظر الله أعلم ده سؤال انت تقدر تربع سين زائد صاد دوري ولا لا سين تربية زي اتنين سين صاد زي اتنين صاد تربية طب نخلط السين زي اتصاد زي اتنين وربعها", "tokens": [2407, 26108, 3224, 3660, 8717, 19913, 2288, 37893, 6225, 9640, 5172, 8032, 1211, 39896, 49610, 3224, 3660, 8717, 19913, 2288, 49610, 3224, 11296, 8978, 28239, 19913, 2288, 32771, 13546, 49610, 3224, 11296, 8978, 28239, 19913, 2288, 21984, 5551, 3615, 19528, 11778, 3224, 8608, 33604, 6027, 16472, 2655, 6055, 28543, 2288, 6055, 25513, 3615, 8608, 9957, 30767, 16373, 3215, 20328, 18513, 11778, 13063, 1829, 49429, 20193, 8608, 9957, 6055, 25513, 10632, 30767, 1829, 1975, 2655, 1863, 9957, 8608, 9957, 20328, 18513, 30767, 1829, 1975, 2655, 1863, 9957, 20328, 18513, 6055, 25513, 10632, 23032, 3555, 8717, 9778, 1211, 9566, 21136, 9957, 30767, 1829, 1975, 2655, 9381, 18513, 30767, 1829, 1975, 2655, 1863, 9957, 4032, 2288, 3555, 3615, 11296], "avg_logprob": -0.2505341737698286, "compression_ratio": 2.1695906432748537, "no_speech_prob": 0.0, "words": [{"start": 2918.31, "end": 2919.15, "word": "واجهة", "probability": 0.5805816650390625}, {"start": 2919.15, "end": 2919.75, "word": " نظر", "probability": 0.8362630208333334}, {"start": 2919.75, "end": 2920.37, "word": " مش", "probability": 0.1490478515625}, {"start": 2920.37, "end": 2920.93, "word": " عارف", "probability": 0.9892578125}, {"start": 2920.93, "end": 2921.21, "word": " هل", "probability": 0.77685546875}, {"start": 2921.21, "end": 2921.43, "word": " هي", "probability": 0.72412109375}, {"start": 2921.43, "end": 2921.95, "word": " وجهة", "probability": 0.89208984375}, {"start": 2921.95, "end": 2922.53, "word": " نظر", "probability": 0.9842122395833334}, {"start": 2922.53, "end": 2923.59, "word": " وجهها", "probability": 0.8512369791666666}, {"start": 2923.59, "end": 2923.81, "word": " في", "probability": 0.92626953125}, {"start": 2923.81, "end": 2924.43, "word": " النظر", "probability": 0.9754231770833334}, {"start": 2924.43, "end": 2924.79, "word": " غير", "probability": 0.8564453125}, {"start": 2924.79, "end": 2925.31, "word": " وجهها", "probability": 0.9728190104166666}, {"start": 2925.31, "end": 2925.47, "word": " في", "probability": 0.9541015625}, {"start": 2925.47, "end": 2925.81, "word": " النظر", "probability": 0.98779296875}, {"start": 2925.81, "end": 2926.23, "word": " الله", "probability": 0.72314453125}, {"start": 2926.23, "end": 2926.81, "word": " أعلم", "probability": 0.736328125}, {"start": 2926.81, "end": 2927.59, "word": " ده", "probability": 0.69091796875}, {"start": 2927.59, "end": 2927.79, "word": " سؤال", "probability": 0.9241536458333334}, {"start": 2927.79, "end": 2928.27, "word": " انت", "probability": 0.5693359375}, {"start": 2928.27, "end": 2929.27, "word": " تقدر", "probability": 0.9069010416666666}, {"start": 2929.27, "end": 2929.99, "word": " تربع", "probability": 0.9371744791666666}, {"start": 2929.99, "end": 2930.69, "word": " سين", "probability": 0.691162109375}, {"start": 2930.69, "end": 2931.13, "word": " زائد", "probability": 0.7980143229166666}, {"start": 2931.13, "end": 2931.89, "word": " صاد", "probability": 0.7705078125}, {"start": 2931.89, "end": 2933.35, "word": " دوري", "probability": 0.9046223958333334}, {"start": 2933.35, "end": 2933.53, "word": " ولا", "probability": 0.8154296875}, {"start": 2933.53, "end": 2933.87, "word": " لا", "probability": 0.73779296875}, {"start": 2933.87, "end": 2934.43, "word": " سين", "probability": 0.72314453125}, {"start": 2934.43, "end": 2934.71, "word": " تربية", "probability": 0.8712565104166666}, {"start": 2934.71, "end": 2934.91, "word": " زي", "probability": 0.698974609375}, {"start": 2934.91, "end": 2935.17, "word": " اتنين", "probability": 0.9013671875}, {"start": 2935.17, "end": 2935.45, "word": " سين", "probability": 0.852294921875}, {"start": 2935.45, "end": 2935.69, "word": " صاد", "probability": 0.95556640625}, {"start": 2935.69, "end": 2935.85, "word": " زي", "probability": 0.88671875}, {"start": 2935.85, "end": 2935.93, "word": " اتنين", "probability": 0.886962890625}, {"start": 2935.93, "end": 2936.17, "word": " صاد", "probability": 0.82177734375}, {"start": 2936.17, "end": 2936.59, "word": " تربية", "probability": 0.9596354166666666}, {"start": 2936.59, "end": 2937.11, "word": " طب", "probability": 0.69775390625}, {"start": 2937.11, "end": 2937.49, "word": " نخلط", "probability": 0.50262451171875}, {"start": 2937.49, "end": 2937.95, "word": " السين", "probability": 0.755859375}, {"start": 2937.95, "end": 2938.25, "word": " زي", "probability": 0.869140625}, {"start": 2938.25, "end": 2938.61, "word": " اتصاد", "probability": 0.765625}, {"start": 2938.61, "end": 2938.83, "word": " زي", "probability": 0.916015625}, {"start": 2938.83, "end": 2939.01, "word": " اتنين", "probability": 0.879150390625}, {"start": 2939.01, "end": 2939.73, "word": " وربعها", "probability": 0.725830078125}], "temperature": 1.0}, {"id": 127, "seek": 296980, "start": 2941.78, "end": 2969.8, "text": "نقدر برضه، طب لو خلتهم أربعة، خمسة توصل عندك هنا، مظبوط؟ بتبطل يتجمع طب لو كانوا مالة نهاية من الحدود، كمك تربعها؟ مافيش إمكانية، مافيش إمكانية خالص، يبقى أنسى الموضوع بل أنسى الموضوع لهذه الجثة في ديننا بسيطة جدا يبقى هاي نمرة دي cosine تربيع ال X وليه ال integration؟ وإيش جاب ال integration لهذه؟", "tokens": [1863, 28543, 2288, 4724, 43042, 3224, 12399, 23032, 3555, 45164, 16490, 1211, 2655, 16095, 5551, 25513, 27884, 12399, 16490, 2304, 3794, 3660, 33427, 36520, 43242, 4117, 34105, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 39894, 3555, 9566, 1211, 7251, 2655, 7435, 2304, 3615, 23032, 3555, 45164, 25961, 14407, 3714, 6027, 3660, 8717, 11296, 10632, 9154, 21542, 3215, 23328, 12399, 9122, 2304, 4117, 6055, 25513, 3615, 11296, 22807, 19446, 41185, 8592, 11933, 2304, 41361, 10632, 12399, 19446, 41185, 8592, 11933, 2304, 41361, 10632, 16490, 6027, 9381, 12399, 7251, 3555, 4587, 7578, 14739, 3794, 7578, 9673, 2407, 11242, 45367, 4724, 1211, 14739, 3794, 7578, 9673, 2407, 11242, 45367, 46740, 24192, 25724, 12984, 3660, 8978, 11778, 9957, 8315, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 7251, 3555, 4587, 7578, 8032, 47302, 8717, 2304, 25720, 11778, 1829, 23565, 6055, 2288, 21292, 3615, 2423, 1783, 4032, 20292, 3224, 2423, 10980, 22807, 4032, 28814, 1829, 8592, 10874, 16758, 2423, 10980, 46740, 24192, 22807], "avg_logprob": -0.23338607387452187, "compression_ratio": 1.8392857142857142, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2941.78, "end": 2942.48, "word": "نقدر", "probability": 0.770263671875}, {"start": 2942.48, "end": 2943.08, "word": " برضه،", "probability": 0.8221435546875}, {"start": 2943.08, "end": 2943.3, "word": " طب", "probability": 0.89306640625}, {"start": 2943.3, "end": 2943.44, "word": " لو", "probability": 0.986328125}, {"start": 2943.44, "end": 2944.02, "word": " خلتهم", "probability": 0.8162841796875}, {"start": 2944.02, "end": 2944.58, "word": " أربعة،", "probability": 0.687255859375}, {"start": 2944.58, "end": 2945.24, "word": " خمسة", "probability": 0.9776611328125}, {"start": 2945.24, "end": 2946.68, "word": " توصل", "probability": 0.562744140625}, {"start": 2946.68, "end": 2947.12, "word": " عندك", "probability": 0.8505859375}, {"start": 2947.12, "end": 2947.36, "word": " هنا،", "probability": 0.673583984375}, {"start": 2947.36, "end": 2948.22, "word": " مظبوط؟", "probability": 0.8256022135416666}, {"start": 2948.22, "end": 2948.76, "word": " بتبطل", "probability": 0.7767333984375}, {"start": 2948.76, "end": 2949.32, "word": " يتجمع", "probability": 0.98759765625}, {"start": 2949.32, "end": 2949.84, "word": " طب", "probability": 0.813720703125}, {"start": 2949.84, "end": 2950.08, "word": " لو", "probability": 0.98876953125}, {"start": 2950.08, "end": 2950.56, "word": " كانوا", "probability": 0.98681640625}, {"start": 2950.56, "end": 2950.88, "word": " مالة", "probability": 0.78564453125}, {"start": 2950.88, "end": 2951.32, "word": " نهاية", "probability": 0.8802083333333334}, {"start": 2951.32, "end": 2951.5, "word": " من", "probability": 0.9892578125}, {"start": 2951.5, "end": 2952.08, "word": " الحدود،", "probability": 0.780242919921875}, {"start": 2952.08, "end": 2952.32, "word": " كمك", "probability": 0.85107421875}, {"start": 2952.32, "end": 2954.16, "word": " تربعها؟", "probability": 0.88291015625}, {"start": 2954.16, "end": 2954.5, "word": " مافيش", "probability": 0.4712727864583333}, {"start": 2954.5, "end": 2955.68, "word": " إمكانية،", "probability": 0.87958984375}, {"start": 2955.68, "end": 2956.32, "word": " مافيش", "probability": 0.8668619791666666}, {"start": 2956.32, "end": 2956.76, "word": " إمكانية", "probability": 0.989990234375}, {"start": 2956.76, "end": 2957.28, "word": " خالص،", "probability": 0.886962890625}, {"start": 2957.28, "end": 2957.42, "word": " يبقى", "probability": 0.892578125}, {"start": 2957.42, "end": 2957.76, "word": " أنسى", "probability": 0.8723958333333334}, {"start": 2957.76, "end": 2958.28, "word": " الموضوع", "probability": 0.9984130859375}, {"start": 2958.28, "end": 2959.12, "word": " بل", "probability": 0.6925048828125}, {"start": 2959.12, "end": 2959.42, "word": " أنسى", "probability": 0.8844401041666666}, {"start": 2959.42, "end": 2959.74, "word": " الموضوع", "probability": 0.9979248046875}, {"start": 2959.74, "end": 2960.08, "word": " لهذه", "probability": 0.744140625}, {"start": 2960.08, "end": 2960.38, "word": " الجثة", "probability": 0.706787109375}, {"start": 2960.38, "end": 2960.54, "word": " في", "probability": 0.75341796875}, {"start": 2960.54, "end": 2960.86, "word": " ديننا", "probability": 0.7185872395833334}, {"start": 2960.86, "end": 2961.4, "word": " بسيطة", "probability": 0.9576171875}, {"start": 2961.4, "end": 2961.74, "word": " جدا", "probability": 0.971435546875}, {"start": 2961.74, "end": 2962.62, "word": " يبقى", "probability": 0.85565185546875}, {"start": 2962.62, "end": 2962.86, "word": " هاي", "probability": 0.73046875}, {"start": 2962.86, "end": 2963.32, "word": " نمرة", "probability": 0.8050130208333334}, {"start": 2963.32, "end": 2964.1, "word": " دي", "probability": 0.9521484375}, {"start": 2964.1, "end": 2965.64, "word": " cosine", "probability": 0.3125}, {"start": 2965.64, "end": 2966.66, "word": " تربيع", "probability": 0.77691650390625}, {"start": 2966.66, "end": 2966.86, "word": " ال", "probability": 0.73828125}, {"start": 2966.86, "end": 2967.1, "word": " X", "probability": 0.51171875}, {"start": 2967.1, "end": 2967.54, "word": " وليه", "probability": 0.4692179361979167}, {"start": 2967.54, "end": 2967.66, "word": " ال", "probability": 0.9697265625}, {"start": 2967.66, "end": 2968.08, "word": " integration؟", "probability": 0.88134765625}, {"start": 2968.08, "end": 2968.3, "word": " وإيش", "probability": 0.8031005859375}, {"start": 2968.3, "end": 2968.48, "word": " جاب", "probability": 0.7939453125}, {"start": 2968.48, "end": 2968.6, "word": " ال", "probability": 0.97509765625}, {"start": 2968.6, "end": 2969.06, "word": " integration", "probability": 0.98388671875}, {"start": 2969.06, "end": 2969.8, "word": " لهذه؟", "probability": 0.7858072916666666}], "temperature": 1.0}, {"id": 128, "seek": 299583, "start": 2971.69, "end": 2995.83, "text": "بسيطة لكن في حسابي المثلثات أبو كالكولاس ايه أخدنا هذه النص في واحد زائد cosine اتنين ال X cosine اتنين ال X موجود عندي cosine ال X بس بده يشيل X و حق ماكان اجداش اتنين يبقى هذا الكلام بده يساوي النص في واحد زائد", "tokens": [3555, 3794, 1829, 9566, 3660, 44381, 8978, 11331, 3794, 16758, 1829, 9673, 12984, 1211, 12984, 9307, 5551, 3555, 2407, 9122, 6027, 4117, 12610, 32277, 1975, 1829, 3224, 5551, 9778, 3215, 8315, 29538, 28239, 9381, 8978, 36764, 24401, 30767, 16373, 3215, 23565, 1975, 2655, 1863, 9957, 2423, 1783, 23565, 1975, 2655, 1863, 9957, 2423, 1783, 3714, 29245, 23328, 18871, 16254, 23565, 2423, 1783, 4724, 3794, 47525, 3224, 7251, 8592, 26895, 1783, 4032, 11331, 4587, 19446, 41361, 1975, 7435, 3215, 33599, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 28239, 9381, 8978, 36764, 24401, 30767, 16373, 3215], "avg_logprob": -0.2336379660750335, "compression_ratio": 1.8645833333333333, "no_speech_prob": 0.0, "words": [{"start": 2971.69, "end": 2972.35, "word": "بسيطة", "probability": 0.811669921875}, {"start": 2972.35, "end": 2972.51, "word": " لكن", "probability": 0.6435546875}, {"start": 2972.51, "end": 2972.63, "word": " في", "probability": 0.56591796875}, {"start": 2972.63, "end": 2973.13, "word": " حسابي", "probability": 0.834716796875}, {"start": 2973.13, "end": 2974.13, "word": " المثلثات", "probability": 0.9666015625}, {"start": 2974.13, "end": 2974.45, "word": " أبو", "probability": 0.5445963541666666}, {"start": 2974.45, "end": 2975.19, "word": " كالكولاس", "probability": 0.687939453125}, {"start": 2975.19, "end": 2975.93, "word": " ايه", "probability": 0.7722981770833334}, {"start": 2975.93, "end": 2976.83, "word": " أخدنا", "probability": 0.8292236328125}, {"start": 2976.83, "end": 2977.43, "word": " هذه", "probability": 0.8544921875}, {"start": 2977.43, "end": 2978.27, "word": " النص", "probability": 0.825927734375}, {"start": 2978.27, "end": 2978.93, "word": " في", "probability": 0.87060546875}, {"start": 2978.93, "end": 2979.55, "word": " واحد", "probability": 0.912841796875}, {"start": 2979.55, "end": 2980.29, "word": " زائد", "probability": 0.9358723958333334}, {"start": 2980.29, "end": 2981.09, "word": " cosine", "probability": 0.76416015625}, {"start": 2981.09, "end": 2982.07, "word": " اتنين", "probability": 0.88916015625}, {"start": 2982.07, "end": 2982.31, "word": " ال", "probability": 0.65625}, {"start": 2982.31, "end": 2982.57, "word": " X", "probability": 0.65283203125}, {"start": 2982.57, "end": 2983.43, "word": " cosine", "probability": 0.3974609375}, {"start": 2983.43, "end": 2983.85, "word": " اتنين", "probability": 0.9580078125}, {"start": 2983.85, "end": 2983.99, "word": " ال", "probability": 0.87158203125}, {"start": 2983.99, "end": 2984.23, "word": " X", "probability": 0.98291015625}, {"start": 2984.23, "end": 2984.73, "word": " موجود", "probability": 0.97119140625}, {"start": 2984.73, "end": 2985.09, "word": " عندي", "probability": 0.742919921875}, {"start": 2985.09, "end": 2985.47, "word": " cosine", "probability": 0.52587890625}, {"start": 2985.47, "end": 2985.79, "word": " ال", "probability": 0.88427734375}, {"start": 2985.79, "end": 2986.03, "word": " X", "probability": 0.99365234375}, {"start": 2986.03, "end": 2986.35, "word": " بس", "probability": 0.959228515625}, {"start": 2986.35, "end": 2986.63, "word": " بده", "probability": 0.55419921875}, {"start": 2986.63, "end": 2986.79, "word": " يشيل", "probability": 0.8453776041666666}, {"start": 2986.79, "end": 2987.07, "word": " X", "probability": 0.7216796875}, {"start": 2987.07, "end": 2987.19, "word": " و", "probability": 0.9091796875}, {"start": 2987.19, "end": 2987.35, "word": " حق", "probability": 0.779541015625}, {"start": 2987.35, "end": 2987.61, "word": " ماكان", "probability": 0.5030517578125}, {"start": 2987.61, "end": 2988.25, "word": " اجداش", "probability": 0.664794921875}, {"start": 2988.25, "end": 2989.59, "word": " اتنين", "probability": 0.9677734375}, {"start": 2989.59, "end": 2990.93, "word": " يبقى", "probability": 0.808349609375}, {"start": 2990.93, "end": 2991.21, "word": " هذا", "probability": 0.95947265625}, {"start": 2991.21, "end": 2991.73, "word": " الكلام", "probability": 0.9765625}, {"start": 2991.73, "end": 2992.11, "word": " بده", "probability": 0.790283203125}, {"start": 2992.11, "end": 2992.67, "word": " يساوي", "probability": 0.9530029296875}, {"start": 2992.67, "end": 2993.37, "word": " النص", "probability": 0.945556640625}, {"start": 2993.37, "end": 2993.87, "word": " في", "probability": 0.96533203125}, {"start": 2993.87, "end": 2994.59, "word": " واحد", "probability": 0.985107421875}, {"start": 2994.59, "end": 2995.83, "word": " زائد", "probability": 0.9811197916666666}], "temperature": 1.0}, {"id": 129, "seek": 301114, "start": 2996.0, "end": 3011.14, "text": "تيجي على القصينها ده بتشيل كل x و بتحط مكانها 2x يبقى هاي واحد نقص 2x لكل تربيع على ال 2 factorial", "tokens": [2655, 1829, 7435, 1829, 15844, 25062, 9381, 9957, 11296, 11778, 3224, 39894, 8592, 26895, 28242, 2031, 4032, 39894, 5016, 9566, 3714, 41361, 11296, 568, 87, 7251, 3555, 4587, 7578, 8032, 47302, 36764, 24401, 8717, 4587, 9381, 568, 87, 5296, 28820, 6055, 2288, 21292, 3615, 15844, 2423, 568, 36916], "avg_logprob": -0.2721619897959184, "compression_ratio": 1.3008130081300813, "no_speech_prob": 0.0, "words": [{"start": 2996.0, "end": 2996.56, "word": "تيجي", "probability": 0.58795166015625}, {"start": 2996.56, "end": 2996.8, "word": " على", "probability": 0.837890625}, {"start": 2996.8, "end": 2997.8, "word": " القصينها", "probability": 0.54766845703125}, {"start": 2997.8, "end": 2998.02, "word": " ده", "probability": 0.85888671875}, {"start": 2998.02, "end": 2998.68, "word": " بتشيل", "probability": 0.7860514322916666}, {"start": 2998.68, "end": 2999.08, "word": " كل", "probability": 0.98486328125}, {"start": 2999.08, "end": 2999.36, "word": " x", "probability": 0.459716796875}, {"start": 2999.36, "end": 2999.48, "word": " و", "probability": 0.7265625}, {"start": 2999.48, "end": 2999.86, "word": " بتحط", "probability": 0.8761393229166666}, {"start": 2999.86, "end": 3000.58, "word": " مكانها", "probability": 0.9879557291666666}, {"start": 3000.58, "end": 3002.26, "word": " 2x", "probability": 0.87841796875}, {"start": 3002.26, "end": 3003.14, "word": " يبقى", "probability": 0.9261474609375}, {"start": 3003.14, "end": 3003.42, "word": " هاي", "probability": 0.763916015625}, {"start": 3003.42, "end": 3004.12, "word": " واحد", "probability": 0.97802734375}, {"start": 3004.12, "end": 3005.22, "word": " نقص", "probability": 0.822265625}, {"start": 3005.22, "end": 3007.06, "word": " 2x", "probability": 0.854736328125}, {"start": 3007.06, "end": 3007.74, "word": " لكل", "probability": 0.869873046875}, {"start": 3007.74, "end": 3008.58, "word": " تربيع", "probability": 0.870361328125}, {"start": 3008.58, "end": 3009.38, "word": " على", "probability": 0.61376953125}, {"start": 3009.38, "end": 3009.6, "word": " ال", "probability": 0.8056640625}, {"start": 3009.6, "end": 3010.22, "word": " 2", "probability": 0.63916015625}, {"start": 3010.22, "end": 3011.14, "word": " factorial", "probability": 0.63525390625}], "temperature": 1.0}, {"id": 130, "seek": 303234, "start": 3011.58, "end": 3032.34, "text": "زائد 2X أُس 4 على 4 factorial ناقص زائد لما توصل للحد إنه ناقص 1 أُس N لل 2X أُس 2N على 2N factorial زائد إلى آخره", "tokens": [11622, 16373, 3215, 568, 55, 5551, 10859, 3794, 1017, 15844, 1017, 36916, 8717, 995, 4587, 9381, 30767, 16373, 3215, 5296, 15042, 6055, 2407, 36520, 24976, 24401, 36145, 3224, 8717, 995, 4587, 9381, 502, 5551, 10859, 3794, 426, 24976, 568, 55, 5551, 10859, 3794, 568, 45, 15844, 568, 45, 36916, 30767, 16373, 3215, 30731, 19753, 34740, 3224], "avg_logprob": -0.24904058272378488, "compression_ratio": 1.3983739837398375, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 3011.58, "end": 3012.24, "word": "زائد", "probability": 0.6187744140625}, {"start": 3012.24, "end": 3013.42, "word": " 2X", "probability": 0.5130615234375}, {"start": 3013.42, "end": 3013.94, "word": " أُس", "probability": 0.65771484375}, {"start": 3013.94, "end": 3014.56, "word": " 4", "probability": 0.9375}, {"start": 3014.56, "end": 3015.7, "word": " على", "probability": 0.49560546875}, {"start": 3015.7, "end": 3016.38, "word": " 4", "probability": 0.91796875}, {"start": 3016.38, "end": 3017.4, "word": " factorial", "probability": 0.57958984375}, {"start": 3017.4, "end": 3018.46, "word": " ناقص", "probability": 0.9271240234375}, {"start": 3018.46, "end": 3018.88, "word": " زائد", "probability": 0.9495442708333334}, {"start": 3018.88, "end": 3019.14, "word": " لما", "probability": 0.9130859375}, {"start": 3019.14, "end": 3019.64, "word": " توصل", "probability": 0.8557942708333334}, {"start": 3019.64, "end": 3020.3, "word": " للحد", "probability": 0.84716796875}, {"start": 3020.3, "end": 3021.08, "word": " إنه", "probability": 0.56561279296875}, {"start": 3021.08, "end": 3022.16, "word": " ناقص", "probability": 0.9849853515625}, {"start": 3022.16, "end": 3022.54, "word": " 1", "probability": 0.64990234375}, {"start": 3022.54, "end": 3023.28, "word": " أُس", "probability": 0.8352864583333334}, {"start": 3023.28, "end": 3023.74, "word": " N", "probability": 0.82470703125}, {"start": 3023.74, "end": 3024.48, "word": " لل", "probability": 0.58154296875}, {"start": 3024.48, "end": 3025.8, "word": " 2X", "probability": 0.630126953125}, {"start": 3025.8, "end": 3026.3, "word": " أُس", "probability": 0.9724934895833334}, {"start": 3026.3, "end": 3027.42, "word": " 2N", "probability": 0.951171875}, {"start": 3027.42, "end": 3028.08, "word": " على", "probability": 0.7177734375}, {"start": 3028.08, "end": 3029.16, "word": " 2N", "probability": 0.843994140625}, {"start": 3029.16, "end": 3030.08, "word": " factorial", "probability": 0.84765625}, {"start": 3030.08, "end": 3031.06, "word": " زائد", "probability": 0.9666341145833334}, {"start": 3031.06, "end": 3031.42, "word": " إلى", "probability": 0.86865234375}, {"start": 3031.42, "end": 3032.34, "word": " آخره", "probability": 0.8567708333333334}], "temperature": 1.0}, {"id": 131, "seek": 305569, "start": 3033.11, "end": 3055.69, "text": "أظن واحد و واحد تجسم على النص هذه يبقى هذه كلها باتنين نص بيصير عندي واحد وهنا ناقص وهنا اتنين X تربيه على اتنين factorial وهنا اتنين تكييب X أص أربع على أربع factorial جسمتها على اتنين", "tokens": [10721, 19913, 1863, 36764, 24401, 4032, 36764, 24401, 6055, 7435, 38251, 15844, 28239, 9381, 29538, 7251, 3555, 4587, 7578, 29538, 28242, 11296, 4724, 9307, 1863, 9957, 8717, 9381, 4724, 1829, 9381, 13546, 18871, 16254, 36764, 24401, 37037, 8315, 8717, 995, 4587, 9381, 37037, 8315, 1975, 2655, 1863, 9957, 1783, 6055, 2288, 21292, 3224, 15844, 1975, 2655, 1863, 9957, 36916, 37037, 8315, 1975, 2655, 1863, 9957, 6055, 4117, 1829, 1829, 3555, 1783, 5551, 9381, 5551, 25513, 3615, 15844, 5551, 25513, 3615, 36916, 10874, 38251, 2655, 11296, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.21634615384615385, "compression_ratio": 1.9146341463414633, "no_speech_prob": 0.0, "words": [{"start": 3033.11, "end": 3033.93, "word": "أظن", "probability": 0.6690266927083334}, {"start": 3033.93, "end": 3034.27, "word": " واحد", "probability": 0.666015625}, {"start": 3034.27, "end": 3034.41, "word": " و", "probability": 0.66796875}, {"start": 3034.41, "end": 3035.03, "word": " واحد", "probability": 0.849853515625}, {"start": 3035.03, "end": 3036.33, "word": " تجسم", "probability": 0.9480794270833334}, {"start": 3036.33, "end": 3036.59, "word": " على", "probability": 0.90576171875}, {"start": 3036.59, "end": 3037.13, "word": " النص", "probability": 0.795166015625}, {"start": 3037.13, "end": 3037.57, "word": " هذه", "probability": 0.48291015625}, {"start": 3037.57, "end": 3038.55, "word": " يبقى", "probability": 0.90234375}, {"start": 3038.55, "end": 3038.97, "word": " هذه", "probability": 0.73291015625}, {"start": 3038.97, "end": 3039.91, "word": " كلها", "probability": 0.9833984375}, {"start": 3039.91, "end": 3040.63, "word": " باتنين", "probability": 0.76708984375}, {"start": 3040.63, "end": 3041.73, "word": " نص", "probability": 0.889404296875}, {"start": 3041.73, "end": 3042.19, "word": " بيصير", "probability": 0.77667236328125}, {"start": 3042.19, "end": 3042.53, "word": " عندي", "probability": 0.71044921875}, {"start": 3042.53, "end": 3043.03, "word": " واحد", "probability": 0.9931640625}, {"start": 3043.03, "end": 3043.95, "word": " وهنا", "probability": 0.748291015625}, {"start": 3043.95, "end": 3044.61, "word": " ناقص", "probability": 0.9786376953125}, {"start": 3044.61, "end": 3045.51, "word": " وهنا", "probability": 0.906494140625}, {"start": 3045.51, "end": 3046.35, "word": " اتنين", "probability": 0.943359375}, {"start": 3046.35, "end": 3046.83, "word": " X", "probability": 0.4873046875}, {"start": 3046.83, "end": 3047.47, "word": " تربيه", "probability": 0.799560546875}, {"start": 3047.47, "end": 3047.69, "word": " على", "probability": 0.7939453125}, {"start": 3047.69, "end": 3048.13, "word": " اتنين", "probability": 0.9669189453125}, {"start": 3048.13, "end": 3048.93, "word": " factorial", "probability": 0.73583984375}, {"start": 3048.93, "end": 3050.11, "word": " وهنا", "probability": 0.861328125}, {"start": 3050.11, "end": 3050.97, "word": " اتنين", "probability": 0.967041015625}, {"start": 3050.97, "end": 3052.09, "word": " تكييب", "probability": 0.92587890625}, {"start": 3052.09, "end": 3052.53, "word": " X", "probability": 0.96923828125}, {"start": 3052.53, "end": 3052.87, "word": " أص", "probability": 0.5137939453125}, {"start": 3052.87, "end": 3053.35, "word": " أربع", "probability": 0.63623046875}, {"start": 3053.35, "end": 3053.49, "word": " على", "probability": 0.783203125}, {"start": 3053.49, "end": 3053.81, "word": " أربع", "probability": 0.8079427083333334}, {"start": 3053.81, "end": 3054.37, "word": " factorial", "probability": 0.875}, {"start": 3054.37, "end": 3055.03, "word": " جسمتها", "probability": 0.82177734375}, {"start": 3055.03, "end": 3055.21, "word": " على", "probability": 0.93408203125}, {"start": 3055.21, "end": 3055.69, "word": " اتنين", "probability": 0.9788818359375}], "temperature": 1.0}, {"id": 132, "seek": 308405, "start": 3056.11, "end": 3084.05, "text": "وهنا زائد زائد ناقص واحد to the power n اتنين أس اتنين n ناقص واحد x أس اتنين n على اتنين n factorial زائد إلى آخره يبقى صارت على صيغة summation من n equal zero to infinity لسالب واحد to the power n اتنين أس اتنين n ناقص واحد", "tokens": [2407, 3224, 8315, 30767, 16373, 3215, 30767, 16373, 3215, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 297, 1975, 2655, 1863, 9957, 5551, 3794, 1975, 2655, 1863, 9957, 297, 8717, 995, 4587, 9381, 36764, 24401, 2031, 5551, 3794, 1975, 2655, 1863, 9957, 297, 15844, 1975, 2655, 1863, 9957, 297, 36916, 30767, 16373, 3215, 30731, 19753, 34740, 3224, 7251, 3555, 4587, 7578, 20328, 9640, 2655, 15844, 20328, 1829, 17082, 3660, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 3794, 6027, 3555, 36764, 24401, 281, 264, 1347, 297, 1975, 2655, 1863, 9957, 5551, 3794, 1975, 2655, 1863, 9957, 297, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.18586308842613583, "compression_ratio": 1.9823529411764707, "no_speech_prob": 0.0, "words": [{"start": 3056.11, "end": 3057.01, "word": "وهنا", "probability": 0.7345377604166666}, {"start": 3057.01, "end": 3057.99, "word": " زائد", "probability": 0.6357828776041666}, {"start": 3057.99, "end": 3058.83, "word": " زائد", "probability": 0.67022705078125}, {"start": 3058.83, "end": 3059.35, "word": " ناقص", "probability": 0.910888671875}, {"start": 3059.35, "end": 3059.77, "word": " واحد", "probability": 0.971923828125}, {"start": 3059.77, "end": 3059.93, "word": " to", "probability": 0.7763671875}, {"start": 3059.93, "end": 3060.11, "word": " the", "probability": 0.91650390625}, {"start": 3060.11, "end": 3060.47, "word": " power", "probability": 0.8818359375}, {"start": 3060.47, "end": 3060.83, "word": " n", "probability": 0.33642578125}, {"start": 3060.83, "end": 3061.77, "word": " اتنين", "probability": 0.73211669921875}, {"start": 3061.77, "end": 3062.25, "word": " أس", "probability": 0.4686279296875}, {"start": 3062.25, "end": 3062.89, "word": " اتنين", "probability": 0.9508056640625}, {"start": 3062.89, "end": 3063.31, "word": " n", "probability": 0.685546875}, {"start": 3063.31, "end": 3063.91, "word": " ناقص", "probability": 0.989990234375}, {"start": 3063.91, "end": 3064.39, "word": " واحد", "probability": 0.98828125}, {"start": 3064.39, "end": 3065.15, "word": " x", "probability": 0.65966796875}, {"start": 3065.15, "end": 3065.55, "word": " أس", "probability": 0.8583984375}, {"start": 3065.55, "end": 3066.23, "word": " اتنين", "probability": 0.96630859375}, {"start": 3066.23, "end": 3066.63, "word": " n", "probability": 0.8857421875}, {"start": 3066.63, "end": 3067.37, "word": " على", "probability": 0.59716796875}, {"start": 3067.37, "end": 3068.01, "word": " اتنين", "probability": 0.95654296875}, {"start": 3068.01, "end": 3068.35, "word": " n", "probability": 0.90771484375}, {"start": 3068.35, "end": 3069.13, "word": " factorial", "probability": 0.79443359375}, {"start": 3069.13, "end": 3070.27, "word": " زائد", "probability": 0.97119140625}, {"start": 3070.27, "end": 3070.59, "word": " إلى", "probability": 0.7158203125}, {"start": 3070.59, "end": 3071.39, "word": " آخره", "probability": 0.8282877604166666}, {"start": 3071.39, "end": 3072.25, "word": " يبقى", "probability": 0.9046630859375}, {"start": 3072.25, "end": 3072.83, "word": " صارت", "probability": 0.59423828125}, {"start": 3072.83, "end": 3073.19, "word": " على", "probability": 0.92333984375}, {"start": 3073.19, "end": 3073.89, "word": " صيغة", "probability": 0.8929443359375}, {"start": 3073.89, "end": 3074.73, "word": " summation", "probability": 0.85693359375}, {"start": 3074.73, "end": 3075.57, "word": " من", "probability": 0.9462890625}, {"start": 3075.57, "end": 3075.85, "word": " n", "probability": 0.8974609375}, {"start": 3075.85, "end": 3076.25, "word": " equal", "probability": 0.5029296875}, {"start": 3076.25, "end": 3076.61, "word": " zero", "probability": 0.6806640625}, {"start": 3076.61, "end": 3076.87, "word": " to", "probability": 0.970703125}, {"start": 3076.87, "end": 3077.57, "word": " infinity", "probability": 0.86328125}, {"start": 3077.57, "end": 3078.71, "word": " لسالب", "probability": 0.816162109375}, {"start": 3078.71, "end": 3079.11, "word": " واحد", "probability": 0.9892578125}, {"start": 3079.11, "end": 3079.29, "word": " to", "probability": 0.98046875}, {"start": 3079.29, "end": 3079.51, "word": " the", "probability": 0.92578125}, {"start": 3079.51, "end": 3079.97, "word": " power", "probability": 0.880859375}, {"start": 3079.97, "end": 3080.45, "word": " n", "probability": 0.9033203125}, {"start": 3080.45, "end": 3081.47, "word": " اتنين", "probability": 0.9573974609375}, {"start": 3081.47, "end": 3082.03, "word": " أس", "probability": 0.82080078125}, {"start": 3082.03, "end": 3082.69, "word": " اتنين", "probability": 0.9771728515625}, {"start": 3082.69, "end": 3082.99, "word": " n", "probability": 0.8857421875}, {"start": 3082.99, "end": 3083.51, "word": " ناقص", "probability": 0.994140625}, {"start": 3083.51, "end": 3084.05, "word": " واحد", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 133, "seek": 310152, "start": 3094.54, "end": 3101.52, "text": "أخر سطر اللي بدنا نكتبه في هذا ال section اللي هو ال exercises على هذا ال section", "tokens": [10721, 34740, 8608, 9566, 2288, 13672, 1829, 47525, 8315, 8717, 4117, 2655, 3555, 3224, 8978, 23758, 2423, 3541, 13672, 1829, 31439, 2423, 11900, 15844, 23758, 2423, 3541], "avg_logprob": -0.3337053486279079, "compression_ratio": 1.28125, "no_speech_prob": 0.0, "words": [{"start": 3094.54, "end": 3095.38, "word": "أخر", "probability": 0.522216796875}, {"start": 3095.38, "end": 3095.9, "word": " سطر", "probability": 0.958984375}, {"start": 3095.9, "end": 3096.1, "word": " اللي", "probability": 0.55718994140625}, {"start": 3096.1, "end": 3096.24, "word": " بدنا", "probability": 0.57550048828125}, {"start": 3096.24, "end": 3096.86, "word": " نكتبه", "probability": 0.97255859375}, {"start": 3096.86, "end": 3096.96, "word": " في", "probability": 0.83984375}, {"start": 3096.96, "end": 3097.42, "word": " هذا", "probability": 0.78125}, {"start": 3097.42, "end": 3097.58, "word": " ال", "probability": 0.728515625}, {"start": 3097.58, "end": 3098.02, "word": " section", "probability": 0.6337890625}, {"start": 3098.02, "end": 3099.2, "word": " اللي", "probability": 0.878173828125}, {"start": 3099.2, "end": 3099.34, "word": " هو", "probability": 0.92724609375}, {"start": 3099.34, "end": 3099.5, "word": " ال", "probability": 0.86083984375}, {"start": 3099.5, "end": 3100.2, "word": " exercises", "probability": 0.9365234375}, {"start": 3100.2, "end": 3100.62, "word": " على", "probability": 0.796875}, {"start": 3100.62, "end": 3100.94, "word": " هذا", "probability": 0.9677734375}, {"start": 3100.94, "end": 3101.08, "word": " ال", "probability": 0.8603515625}, {"start": 3101.08, "end": 3101.52, "word": " section", "probability": 0.6572265625}], "temperature": 1.0}, {"id": 134, "seek": 312293, "start": 3102.65, "end": 3122.93, "text": "يبقى exercises عشرة تمانية. Exercises عشرة تمانية من واحد لغاية سبعة وتلاتين الأد. المحاضرة القادمة ان شاء الله تعالى بندخل في شبطر أحداشر.", "tokens": [1829, 3555, 4587, 7578, 11900, 6225, 8592, 25720, 46811, 7649, 10632, 13, 37502, 3598, 6225, 8592, 25720, 46811, 7649, 10632, 9154, 36764, 24401, 5296, 17082, 995, 10632, 8608, 3555, 27884, 34683, 1211, 9307, 9957, 16247, 3215, 13, 9673, 5016, 46958, 25720, 25062, 18513, 46007, 16472, 13412, 16606, 21984, 37279, 6027, 7578, 44945, 3215, 9778, 1211, 8978, 13412, 3555, 9566, 2288, 5551, 24401, 33599, 2288, 13], "avg_logprob": -0.1676136300419316, "compression_ratio": 1.5161290322580645, "no_speech_prob": 0.0, "words": [{"start": 3102.65, "end": 3103.29, "word": "يبقى", "probability": 0.93798828125}, {"start": 3103.29, "end": 3104.37, "word": " exercises", "probability": 0.84423828125}, {"start": 3104.37, "end": 3106.29, "word": " عشرة", "probability": 0.94140625}, {"start": 3106.29, "end": 3107.09, "word": " تمانية.", "probability": 0.9806315104166666}, {"start": 3107.23, "end": 3108.59, "word": " Exercises", "probability": 0.77197265625}, {"start": 3108.59, "end": 3109.25, "word": " عشرة", "probability": 0.9680989583333334}, {"start": 3109.25, "end": 3110.15, "word": " تمانية", "probability": 0.9934895833333334}, {"start": 3110.15, "end": 3110.81, "word": " من", "probability": 0.95751953125}, {"start": 3110.81, "end": 3111.79, "word": " واحد", "probability": 0.985595703125}, {"start": 3111.79, "end": 3112.69, "word": " لغاية", "probability": 0.9910888671875}, {"start": 3112.69, "end": 3113.21, "word": " سبعة", "probability": 0.9130859375}, {"start": 3113.21, "end": 3114.37, "word": " وتلاتين", "probability": 0.860595703125}, {"start": 3114.37, "end": 3115.49, "word": " الأد.", "probability": 0.5595703125}, {"start": 3117.19, "end": 3118.59, "word": " المحاضرة", "probability": 0.9381103515625}, {"start": 3118.59, "end": 3119.29, "word": " القادمة", "probability": 0.99365234375}, {"start": 3119.29, "end": 3119.53, "word": " ان", "probability": 0.61962890625}, {"start": 3119.53, "end": 3119.91, "word": " شاء", "probability": 0.959228515625}, {"start": 3119.91, "end": 3120.07, "word": " الله", "probability": 0.95703125}, {"start": 3120.07, "end": 3120.61, "word": " تعالى", "probability": 0.8414713541666666}, {"start": 3120.61, "end": 3121.31, "word": " بندخل", "probability": 0.821044921875}, {"start": 3121.31, "end": 3121.49, "word": " في", "probability": 0.98828125}, {"start": 3121.49, "end": 3122.07, "word": " شبطر", "probability": 0.8369140625}, {"start": 3122.07, "end": 3122.93, "word": " أحداشر.", "probability": 0.7347412109375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3123.618, "duration_after_vad": 3017.439718749991}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/i8FDb_nVBfE_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/i8FDb_nVBfE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2257b88361a23635a40ef1a8566907e408fbafb6
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/i8FDb_nVBfE_postprocess.srt
@@ -0,0 +1,1840 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,560 --> 00:00:14,260
+بسم الله الرحمن الرحيم نكمل ما ابتدأناه في
+
+3
+00:00:14,260 --> 00:00:19,280
+المحاضرات الماضية و هي موضوع ال alternating series
+
+4
+00:00:19,280 --> 00:00:24,460
+بذكر قبل أن نبدأ بالامثلة المرة اللي فاتت شرحنا
+
+5
+00:00:24,460 --> 00:00:28,620
+الموضوع و أعطينا سبعة أمثلة و لازم نواصل الأمثلة
+
+6
+00:00:28,620 --> 00:00:29,920
+على نفس الموضوع
+
+7
+00:00:36,170 --> 00:00:40,830
+وانتقلت من ال alternating إلى series كل حدودها
+
+8
+00:00:40,830 --> 00:00:45,490
+موجبة إذا بإمكاني استخدم أي اختبار من الاختبارات
+
+9
+00:00:45,490 --> 00:00:49,730
+السابقة التي سبقت دراستها بالإضافة إلى تلاتة
+
+10
+00:00:49,730 --> 00:00:53,490
+series المشهورة وهي ال geometric وال harmonic وال
+
+11
+00:00:53,490 --> 00:00:59,480
+P seriesباروح أخد ال series of absolute values
+
+12
+00:00:59,480 --> 00:01:02,120
+والله إذا ال series of absolute values كانت
+
+13
+00:01:02,120 --> 00:01:05,680
+converge يبقى بقول ال series الأصلية converged
+
+14
+00:01:05,680 --> 00:01:10,720
+absolutely إذا ال series طلعت diverged يبقى بقول
+
+15
+00:01:10,720 --> 00:01:15,660
+ال series اللي عندي مالهااللي هي بقدرش أقول ال
+
+16
+00:01:15,660 --> 00:01:20,600
+series الأصلية بقدرش أقول ال series الأصلية هي
+
+17
+00:01:20,600 --> 00:01:24,920
+diverge وإنما بروح على مين؟ بروح على الشروط
+
+18
+00:01:24,920 --> 00:01:29,020
+التلاتة إذا تحققت الشروط التلاتة بقول ال series
+
+19
+00:01:29,020 --> 00:01:34,120
+converge إذا فشل الشرط التالت أو لم يتحقق الشرط
+
+20
+00:01:34,120 --> 00:01:38,260
+التالت بقول ال series diverge ولماذا الشرط التالت؟
+
+21
+00:01:38,260 --> 00:01:45,280
+لأن الشرط التالت هو الوهو نهاية الحد النوني لما ال
+
+22
+00:01:45,280 --> 00:01:50,040
+N بتروح للمالة نهاية لا يساوي Zero لكن ان ساوى
+
+23
+00:01:50,040 --> 00:01:54,860
+Zero بتحقق برج على الشرطين اتنين اتنين المثال
+
+24
+00:01:54,860 --> 00:01:58,600
+الرقم تمانية بيقول فحصل هل ال series هذي converge
+
+25
+00:01:58,600 --> 00:02:02,640
+absolutely converge conditionally diverge او ما
+
+26
+00:02:02,640 --> 00:02:09,040
+إلى ذلك يبقى الخطوة الأولى في الحل بياخد ال series
+
+27
+00:02:10,590 --> 00:02:19,670
+of absolute values as summation من N equal one to
+
+28
+00:02:19,670 --> 00:02:26,690
+infinity لمن؟ لل N factorial تربيع تلتة to the
+
+29
+00:02:26,690 --> 00:02:32,930
+power N على اتنين N plus one factorial بهذا الشكل
+
+30
+00:02:33,730 --> 00:02:38,590
+بعد ذلك استخدم الاختبار الذي تراه مناسبة، كون
+
+31
+00:02:38,590 --> 00:02:42,710
+المثلة فيها factorial يبقى أفضل اختبار عندي اختبار
+
+32
+00:02:42,710 --> 00:02:47,850
+ذاشه او اختبار النسبة يبقى R to سوى ال limit لما
+
+33
+00:02:47,850 --> 00:02:53,180
+ال int tends to infinityللحد انوني زائد واحد يبقى
+
+34
+00:02:53,180 --> 00:02:59,440
+n plus one factorial لكل تربية تلاتة to the power
+
+35
+00:02:59,440 --> 00:03:06,260
+n plus one على اتنين في n plus one plus one
+
+36
+00:03:06,260 --> 00:03:14,580
+factorial تقسيماللي هو N factorial تربية تلاتة to
+
+37
+00:03:14,580 --> 00:03:21,200
+the power N اتنين N plus one factorial بهذا الشكل
+
+38
+00:03:22,530 --> 00:03:26,650
+يبقى هذه بدها تساوي ال limit لما ال N tends to
+
+39
+00:03:26,650 --> 00:03:32,410
+infinity هذا بدالي أفك ال factorial هذا يبقى N
+
+40
+00:03:32,410 --> 00:03:38,990
+زائد واحد في ال N factorial الآن تربيع بيصير الجثث
+
+41
+00:03:38,990 --> 00:03:44,190
+هذا تربيع وال factorial هذا تربيع التلاتة بقدر
+
+42
+00:03:44,190 --> 00:03:49,930
+أقول تلاتة to the power N في تلاتة نيجي على المقام
+
+43
+00:03:50,270 --> 00:03:58,190
+المقامة شبه بـ 2n زائد 2 زائد 1 يعني 2n زائد 3
+
+44
+00:03:58,190 --> 00:04:08,770
+يبقى لو فكته بصير 2n زائد 3 2n زائد 2 مضروب في 2n
+
+45
+00:04:08,770 --> 00:04:15,730
+زائد 1 factorial بالشكل هذا إذا فكنا الحد النوني
+
+46
+00:04:15,730 --> 00:04:22,010
+زائد 1الحد من اني هنشجل بو يبقى مصير مضروبا في 2n
+
+47
+00:04:22,010 --> 00:04:28,370
+plus one factorial على مين؟ على n factorial الكل
+
+48
+00:04:28,370 --> 00:04:33,450
+تربية في تلاتة to the power n نيجي نختصر
+
+49
+00:04:33,450 --> 00:04:38,590
+الاختصارات تلاتة وس ان مع تلاتة وس ان هذا factor
+
+50
+00:04:38,590 --> 00:04:41,750
+2n زاد واحد مع 2n زاد واحد
+
+51
+00:04:46,750 --> 00:04:52,730
+بنجي للجث هذا، هذا يا شباب الجث بقدر اكتب 2 في N
+
+52
+00:04:52,730 --> 00:04:59,350
+زائد 1 يبقى N زائد 1 بتروح مع مين؟ مع التربيع اللي
+
+53
+00:04:59,350 --> 00:05:04,410
+عندها، يبقى قامة المسأ مائلةتلاتة مقدار ثابت
+
+54
+00:05:04,410 --> 00:05:08,410
+واتنين مقدار ثابت خلّيكوا برا هاي تلاتة تبعت ال
+
+55
+00:05:08,410 --> 00:05:13,270
+bus واتنين تبعت المقام وهذا ال limit لما ال N
+
+56
+00:05:13,270 --> 00:05:18,310
+tends to infinity ال bus ضايل فيه بس N زائد واحد
+
+57
+00:05:18,310 --> 00:05:23,630
+مافيش غيره والمقام ضايل فيه اتنين N زائد تلاتة
+
+58
+00:05:23,630 --> 00:05:29,530
+يبقى على اتنين N زائد تلاتة يبقى هذا الكلام بدي
+
+59
+00:05:29,530 --> 00:05:34,970
+يسوي تلاتة على اتنينباللغة الرول النتيجة تستخدم كم
+
+60
+00:05:34,970 --> 00:05:40,930
+هنا نص يبقى تلاتة على اتنين في نص يبقى النتيجة
+
+61
+00:05:40,930 --> 00:05:47,010
+تلات تربع تلات تربع ما لها اقل من الواحد الصحيح
+
+62
+00:05:47,010 --> 00:05:52,010
+يبقى بال ratio test the series of absolute values
+
+63
+00:05:52,010 --> 00:06:01,690
+converged بروح بقوله by the ratio testthe series
+
+64
+00:06:01,690 --> 00:06:04,870
+of
+
+65
+00:06:04,870 --> 00:06:12,690
+absolute values converged
+
+66
+00:06:23,500 --> 00:06:28,800
+اللي هي من summation من N equal one to infinity
+
+67
+00:06:28,800 --> 00:06:36,460
+لسالب واحد to the power N لل N factorial square فى
+
+68
+00:06:36,460 --> 00:06:42,220
+تلاتة to the power N على اتنين N plus one
+
+69
+00:06:42,220 --> 00:06:48,740
+factorial مالها converge absolutely
+
+70
+00:06:55,970 --> 00:07:01,190
+طيب السؤال التاسع مثال
+
+71
+00:07:01,190 --> 00:07:08,430
+رقم تسعة بيقول لي summation summation من وين؟ من N
+
+72
+00:07:08,720 --> 00:07:15,580
+equal one to infinity لمن؟ لسالب واحد to the power
+
+73
+00:07:15,580 --> 00:07:24,300
+N لsquare root لل N plus ال square root لل N ناقص
+
+74
+00:07:24,300 --> 00:07:34,060
+ال square root لل N إذن
+
+75
+00:07:34,060 --> 00:07:39,960
+احنا بدنا ناخد series of absolute valuesفبجي بقوله
+
+76
+00:07:39,960 --> 00:07:53,640
+هنا the series of absolute values is summation
+
+77
+00:07:53,640 --> 00:08:03,160
+لجذر التربية ل N زائد جذر ال N ناقص جذر ال N من
+
+78
+00:08:03,160 --> 00:08:10,280
+عند ال N equal one to infinityأظن ان لو جيت اخد ال
+
+79
+00:08:10,280 --> 00:08:16,260
+limit مباشرة بيصير infinity ناقص انفنتي بنعرفاش
+
+80
+00:08:16,260 --> 00:08:21,260
+هذه يبقى كمية غير معينة لكن كونها فيها جذور
+
+81
+00:08:21,260 --> 00:08:25,980
+اتعلمنا من الثانوية وفي calculus ا احط المسألة في
+
+82
+00:08:25,980 --> 00:08:32,090
+شكل جديدعن طريق الضرب في المرافق يبقى لو ضربنا في
+
+83
+00:08:32,090 --> 00:08:37,630
+هذا المرافق ال series هتاخد الشكل التالي جذر
+
+84
+00:08:37,630 --> 00:08:45,170
+النوني ل N زائد جذر ال N زائد جذر ال N مقسوما على
+
+85
+00:08:45,170 --> 00:08:52,970
+جذر ال N زائد جذر ال N زائد جذر ال N بالشكل اللي
+
+86
+00:08:52,970 --> 00:08:58,450
+عندنا هذايبقى أصله شكل ال series summation من n
+
+87
+00:08:58,450 --> 00:09:02,910
+equal one to infinity اللي هو البس هو فرق بين
+
+88
+00:09:02,910 --> 00:09:07,870
+المربعين بدي أرجعه إلى أصله يبقى مربع الكيمية
+
+89
+00:09:07,870 --> 00:09:13,730
+الأولى اللي هو n زائد جذر ال n ناقص مربع الكيمية
+
+90
+00:09:13,730 --> 00:09:22,000
+الثانية على المقام جذر ال nزائد جذر ال N زائد جذر
+
+91
+00:09:22,000 --> 00:09:27,560
+ال N يبقى آلة ال series إلى الشكل التالي summation
+
+92
+00:09:27,560 --> 00:09:32,260
+من N equal one to infinity سالب N موجب N مع
+
+93
+00:09:32,260 --> 00:09:38,700
+السلامة يبقى جذر ال N على الجذر التربيع ل N زائد
+
+94
+00:09:38,700 --> 00:09:43,900
+جذر ال N زائد جذر ال N بالشكل اللي لنا هذا
+
+95
+00:09:46,710 --> 00:09:49,890
+حطينا series و absolute values في الشكل الجديد
+
+96
+00:09:49,890 --> 00:09:53,390
+اللي عدنا، الآن بدنا نيجي نبحث هل ال series هذي
+
+97
+00:09:53,390 --> 00:10:00,250
+convert ولا diverse يبقى بمجرد النظر بلاحظ أن كل
+
+98
+00:10:00,250 --> 00:10:05,630
+من البس و المقام له نفس الدرجة اللي فوق N أص نص و
+
+99
+00:10:05,630 --> 00:10:11,190
+اللي تحت N أص نص و هنا N أص نص يبقى لو أخدم ال
+
+100
+00:10:11,190 --> 00:10:16,730
+limit و دي مجددشمقدار ثابت بغض النظر واحدة المهم
+
+101
+00:10:16,730 --> 00:10:20,850
+مقدار ثابت.إذا خد الجذر وان شاء الله الله بفرجها
+
+102
+00:10:20,850 --> 00:10:28,280
+.يبقى باجي بقوله اخد الان limit لل AMلما ال N تنسى
+
+103
+00:10:28,280 --> 00:10:33,860
+الانفينيتي يبقى limit لما ال N تنسى الانفينيتي لحد
+
+104
+00:10:33,860 --> 00:10:41,760
+انه جذر ال N على الجذر التربيعي ل N زائد جذر ال N
+
+105
+00:10:41,760 --> 00:10:48,760
+زائد جذر ال N بالشكل اللي عندنا هذاطيب، تعويض
+
+106
+00:10:48,760 --> 00:10:53,400
+مباشر بيجيب لي infinity على infinity و قدامك
+
+107
+00:10:53,400 --> 00:10:57,140
+طريقين، الطريق الأول انه تشتق البص على مشتقة
+
+108
+00:10:57,140 --> 00:11:01,200
+المقام و ما شاء الله عليها مكلة عجر شكل او نقسم كل
+
+109
+00:11:01,200 --> 00:11:05,280
+من البص والمقام على ان المرفوعة لأكبر أس في
+
+110
+00:11:05,280 --> 00:11:11,190
+المقام، طبعا أكبر أس في المقام هو جداشن أص نص.
+
+111
+00:11:11,370 --> 00:11:15,430
+لأنه لو شيلنا هذا بيصير الجذر التربيع لأنه جذر ال
+
+112
+00:11:15,430 --> 00:11:20,730
+N يبقى بدي أجسم كل من البص والمقام على جذر ال M
+
+113
+00:11:20,730 --> 00:11:25,690
+يبقى هذا الكلام بده يساوي ال limit لما ال N tends
+
+114
+00:11:25,690 --> 00:11:31,260
+to infinity لواحد عالىهذه اللي هما نجسمها على جذر
+
+115
+00:11:31,260 --> 00:11:38,020
+ال N بصير بها كبار و جذر واحد كله ل N زائد جذر ال
+
+116
+00:11:38,020 --> 00:11:46,030
+N على N زائد واحديبقى آلة المسألة إلى الشكل التالي
+
+117
+00:11:46,030 --> 00:11:51,590
+limit لما ال N tends to infinity لواحد على الجذر
+
+118
+00:11:51,590 --> 00:11:57,830
+الترابيعي N على N بواحد زائد لما نجسم هذه على هذه
+
+119
+00:11:57,830 --> 00:12:06,270
+بصير واحد على جذر ال N زائد واحد واحد على infinity
+
+120
+00:12:06,270 --> 00:12:12,430
+ب zero بظل واحد زاد واحد زي اتنين اللي هو يساوي
+
+121
+00:12:15,310 --> 00:12:26,270
+لا يساوي زيرو لا يساوي زيرو لا يساوي زيرو لا يساوي
+
+122
+00:12:26,270 --> 00:12:37,350
+زيرو لا يساوي زيرو لا يساوي
+
+123
+00:12:37,350 --> 00:12:41,150
+زيرو
+
+124
+00:12:42,800 --> 00:12:45,920
+إذاً الـ Series الأصلية الله أعلم قد تكون
+
+125
+00:12:45,920 --> 00:12:51,360
+converged و قد تكون diverged لكن هذا مش هو عبارة
+
+126
+00:12:51,360 --> 00:12:54,820
+عن ال condition التالف الشرف التالف في النظرية
+
+127
+00:12:54,820 --> 00:12:59,240
+صحيحة ولا لأ الشرف التالف بيقول إنه غير متحقق هيو
+
+128
+00:12:59,240 --> 00:13:02,840
+يسوى نص لا يسوى zero يبقى مالها تمامًا ال Series
+
+129
+00:13:02,840 --> 00:13:10,220
+الأصلية مالها diverged باجي بقوله but the third
+
+130
+00:13:10,220 --> 00:13:12,000
+condition
+
+131
+00:13:14,730 --> 00:13:26,450
+is not satisfied الشرط التالت مش متحقق that is اي
+
+132
+00:13:26,450 --> 00:13:33,690
+ان limit لل a n لما ال n tends to infinity يسوى نص
+
+133
+00:13:33,690 --> 00:13:45,640
+لا يسوى zero معناته therefore ولهذا the seriesاللي
+
+134
+00:13:45,640 --> 00:13:52,080
+هي summation من N equal one to infinity لمين لسالب
+
+135
+00:13:52,080 --> 00:13:58,180
+واحد to the power N الجدر التربية ل N زائد جدر ال
+
+136
+00:13:58,180 --> 00:14:06,720
+N ناقص جدر ال N diverse وانتهينا من هذه المسألة
+
+137
+00:14:21,790 --> 00:14:31,890
+المثال العاشر والاخير يقول ما يأتي summation
+
+138
+00:14:31,890 --> 00:14:35,650
+برضه من n equal one
+
+139
+00:14:54,640 --> 00:15:02,760
+من هنا نرى هل هذه السيريوز مرتبطة او مختلفة
+
+140
+00:15:08,160 --> 00:15:17,160
+بنروح ناخد the series of absolute values as
+
+141
+00:15:17,160 --> 00:15:23,840
+summation من N equal one to infinity للإثنين N
+
+142
+00:15:23,840 --> 00:15:30,280
+factorial عالميا على الإثنين أُس N في ال N
+
+143
+00:15:30,280 --> 00:15:35,700
+factorial في ال N بالشكل اللي قلنا هذا مين أفضل
+
+144
+00:15:35,700 --> 00:15:41,750
+اختبار لهذا الشغل؟الراتيو يبجره تساوي ال limit لما
+
+145
+00:15:41,750 --> 00:15:46,510
+ال N tends to infinity اه بده اشيل كل N واحق
+
+146
+00:15:46,510 --> 00:15:53,510
+مكانها N زائد واحد يمشي بصير اتنين في N زائد واحد
+
+147
+00:15:53,510 --> 00:16:02,030
+factorial على اتنين أس N زائد واحد في N زائد واحد
+
+148
+00:16:02,030 --> 00:16:09,880
+factorial في N زائد واحد تقسيمإتنين in factorial
+
+149
+00:16:09,880 --> 00:16:18,220
+اتنين to the power in in factorial في ال in يبقى
+
+150
+00:16:18,220 --> 00:16:23,780
+هذا بده يساوي limit لما ال in tends to infinity
+
+151
+00:16:23,780 --> 00:16:29,300
+هذا يا شباب اللي هو عبارة عن اتنين in زائد اتنين
+
+152
+00:16:29,300 --> 00:16:36,120
+factorialبدي افك هذا يبقى بدي يصير اللي هو اتنين N
+
+153
+00:16:36,120 --> 00:16:44,040
+زائد اتنين اتنين N زائد واحد اتنين N factorial
+
+154
+00:16:44,040 --> 00:16:51,960
+مقسوما على الاتنين في الاتنين أس M في ال N زائد
+
+155
+00:16:51,960 --> 00:16:57,440
+واحد في ال N factorial في ال N زائد واحد
+
+156
+00:17:16,410 --> 00:17:22,630
+يجب اختصار الاختصارات الموجودة في المسألة
+
+157
+00:17:41,370 --> 00:17:45,630
+تعني اختصر الاختصارات يبقى هذا مع هذا الله يسهل
+
+158
+00:17:45,630 --> 00:17:51,710
+عليه و ال in factorial مع ال in factorial و اتنين
+
+159
+00:17:51,710 --> 00:17:56,450
+to the power in مع اتنين to the power in فلعله
+
+160
+00:17:56,450 --> 00:18:02,770
+للجثة ده هذا اللي هو اتنين في in زائد واحد يبقى in
+
+161
+00:18:02,770 --> 00:18:07,630
+زائد واحد مع اتنين مع اتنين في in زائد واحد يعني
+
+162
+00:18:07,630 --> 00:18:12,790
+الجثة ده راح كله بالمرة نهائيةفي اختصارات تانية
+
+163
+00:18:12,790 --> 00:18:19,330
+يبعد الله يبقى صارة المسألة هي limit لما ال N
+
+164
+00:18:19,330 --> 00:18:25,050
+tends to infinity ضايل عند هنا N على N زائد واحد
+
+165
+00:18:25,050 --> 00:18:33,170
+يبقى هذه N على N زائد واحد وضايل عند هنا 2N زائد
+
+166
+00:18:33,170 --> 00:18:38,390
+واحد في غيرهم مافيش اكتر من هيك قداش ال limit لهذا
+
+167
+00:18:38,390 --> 00:18:44,210
+المقداروقداش ال limit لهذا المقدار ب infinity يبقى
+
+168
+00:18:44,210 --> 00:18:49,690
+هذا بيساوي واحد في infinity اللي هو القداش يبقى
+
+169
+00:18:49,690 --> 00:18:54,450
+روز سوية قداش يبقى ال series of absolute values
+
+170
+00:18:54,450 --> 00:19:03,590
+مالها by there يبقى هنا ال series of absolute
+
+171
+00:19:03,590 --> 00:19:12,260
+values by thereيبقى أين بدنا نروح؟ على الشروط
+
+172
+00:19:12,260 --> 00:19:18,080
+الثلاثة خلّينا نجرب الشرط التالت أولا يبقى لو جينا
+
+173
+00:19:18,080 --> 00:19:25,440
+للشرط التالت أنا عندي اتنين N factorial على اتنين
+
+174
+00:19:25,440 --> 00:19:34,360
+أس N في ال N factorial في ال Nبدي ال limit له لما
+
+175
+00:19:34,360 --> 00:19:38,140
+ال n بدها تروح للمعلى نهائيا خلي بالكوا قعد هنا
+
+176
+00:19:38,140 --> 00:19:43,300
+كويس الآن بدنا نبدأ نفكفك هالمثلة هذه مشان نقدر
+
+177
+00:19:43,300 --> 00:19:47,340
+ناخد ال limit والله هي كده في غاية التعقيد ليش؟ ان
+
+178
+00:19:47,340 --> 00:19:51,740
+في عندي factorial فوق وعندي factorial تحت وال
+
+179
+00:19:51,740 --> 00:19:56,500
+factorial تبعد عن بعض كتير جاب المبدأ بتبسطك
+
+180
+00:19:56,500 --> 00:20:01,960
+المثلة لو جينا يقولنا إن factorial ليه عشرة؟مش هي
+
+181
+00:20:01,960 --> 00:20:08,200
+عبارة عن factorial ال 2 في خمسة في خمسة، مظبوط ولا
+
+182
+00:20:08,200 --> 00:20:13,820
+لا؟ يبقى تبصير كأنه 2N، ال N مين قادر مكانها؟ اللي
+
+183
+00:20:13,820 --> 00:20:18,320
+هو الخمسة، صحيح ولا لا؟ يبقى بقدر أقول عشرة في
+
+184
+00:20:18,320 --> 00:20:23,540
+تسعة في تمانية في سبعة في ستة في مضروب الخمسة،
+
+185
+00:20:23,540 --> 00:20:27,840
+مظبوط؟خُد بالك كويس، أنا بقول مضروب العشرة، يعني
+
+186
+00:20:27,840 --> 00:20:33,980
+مضروب اتنين في خمسة، يعني زي مضروب اتنين M، بدي
+
+187
+00:20:33,980 --> 00:20:38,960
+أوصلها إلى مضروب ال M فلما أقول مضروب العشرة، بقول
+
+188
+00:20:38,960 --> 00:20:44,340
+مضروب اتنين في خمسة، تسعة في تمانية في سبعة في ستة
+
+189
+00:20:44,340 --> 00:20:50,010
+في مضروب الخمسةيرجع مضروب اتنين ان بقدر افكفه
+
+190
+00:20:50,010 --> 00:20:54,430
+لغاية ما اوصل لمين؟ لل N factorial اللي هو مضروب
+
+191
+00:20:54,430 --> 00:21:00,720
+ال Nطب بدأ اكتب وشوفوا الكتاب دي صح وحطر عليكم بعض
+
+192
+00:21:00,720 --> 00:21:06,600
+الأسئلة كذلك يبجى هذا اللي اجيت قلت اتنين N فاتنين
+
+193
+00:21:06,600 --> 00:21:12,760
+N ناقص واحد فاتنين N ناقص اتنين وضليت ماشي لغاية
+
+194
+00:21:12,760 --> 00:21:19,980
+ال N زائد واحد في ال N factorial على الشغل هذا صح
+
+195
+00:21:19,980 --> 00:21:28,350
+هيك؟تنين N نقص واحد تنين N نقص اتنين تنين N نقص
+
+196
+00:21:28,350 --> 00:21:33,790
+ثلاثة تنين N نقص اربعة بليت ماشي لغاية جابل ال N
+
+197
+00:21:33,790 --> 00:21:37,990
+factorial المقدار واحد اللي هو مين N زي واحد كيف
+
+198
+00:21:37,990 --> 00:21:48,820
+زي واحد؟ اتنين في خمسةعشرة تسعة تمانية سبعة هدف
+
+199
+00:21:48,820 --> 00:21:53,680
+ستة في مضمون الخمسة مظبوط يبقى ضليت أنزل أنزل
+
+200
+00:21:53,680 --> 00:21:57,960
+لغاية ما وصلت قبل ال N برقم له N زاد واحد اللي
+
+201
+00:21:57,960 --> 00:22:03,040
+بعده بيجي N factorial طب ليش سويت هيك؟لأن في
+
+202
+00:22:03,040 --> 00:22:08,300
+المقام في عندي N factorial لكي تتم الاختصارات فيما
+
+203
+00:22:08,300 --> 00:22:15,180
+بينهم طيب بدي أجي للمقام المقام هذا اتنين في اتنين
+
+204
+00:22:15,180 --> 00:22:19,900
+أس N ناقص واحد ليش عملت هيك؟ لكي الاتنين تدعي
+
+205
+00:22:19,900 --> 00:22:24,400
+أختصرهم مع بعض في اتنين N ناقص واحد في ال N
+
+206
+00:22:24,400 --> 00:22:26,600
+factorial في ال N
+
+207
+00:22:30,730 --> 00:22:37,130
+سؤال اللي بتقفحه، كم عدد هذه العناصر من هنا لغاية
+
+208
+00:22:37,130 --> 00:22:42,890
+هنا؟ سيبك من ال N factorial، جبل ال N factorial،
+
+209
+00:22:42,890 --> 00:22:49,010
+عندك ال N زائد واحد للخلق، جدش عددهم هدول؟ ان زائد
+
+210
+00:22:49,010 --> 00:22:54,230
+واحد ولا N؟نقص واحد يعني واحد بيقول ان زي الواحد
+
+211
+00:22:54,230 --> 00:22:57,690
+وواحد بيقول ان واحد بيقول ان ناقص واحد، ماتترش على
+
+212
+00:22:57,690 --> 00:23:02,330
+حل حق ان بخمسة زي ما قولت على كل بده عدلي عشرة
+
+213
+00:23:02,330 --> 00:23:08,620
+تسعة تمانية سبعة ستةوصلنا لمبادئه بالخمسة يبقى قد
+
+214
+00:23:08,620 --> 00:23:12,700
+إيش عددهم؟ خمسة اللي هو نصهم يبقى هذول قد إيش
+
+215
+00:23:12,700 --> 00:23:20,940
+عددهم؟ in terms يبقى هذول عددهم in terms يبقى هذول
+
+216
+00:23:20,940 --> 00:23:27,270
+in من الحدودطبعا هذا كلام له وما بعده إذا عرفت أن
+
+217
+00:23:27,270 --> 00:23:32,850
+عددهم يستوي N يبقى مشكلتي شبه الحلة يبقى فاجي بقول
+
+218
+00:23:32,850 --> 00:23:40,170
+N factorial مع N factorial اتنين N علي اتنين N هنا
+
+219
+00:23:40,920 --> 00:23:47,600
+تمام؟ يبقى هذا الكلام بده يساوي اتنين M ناقص واحد
+
+220
+00:23:47,600 --> 00:23:55,800
+في اتنين N ناقص اتنين وضلت ماشي لغاية ال N زائد
+
+221
+00:23:55,800 --> 00:24:02,860
+واحد على الاتنين أس M ماقص واحد لا يزال السؤال
+
+222
+00:24:02,860 --> 00:24:11,470
+قائم كم عدد الأقوس اللي في ال bus هذيإن ناقص واحد،
+
+223
+00:24:11,470 --> 00:24:16,750
+ليش؟ لأنه طار أول ترمى، دول عددهم لغاية تنقل، راح
+
+224
+00:24:16,750 --> 00:24:22,410
+واحد فيهم معناته نقصه مقدار واحد، تمام؟ طيب، إيش
+
+225
+00:24:22,410 --> 00:24:30,680
+رأيك في هذه كالتالي؟ مثلالو قلت لك هنا N زائد واحد
+
+226
+00:24:30,680 --> 00:24:38,820
+في N زائد واحد وضلت ماشي في N زائد واحد على اتنين
+
+227
+00:24:38,820 --> 00:24:45,170
+أس N ماقص واحدمن الأكبر؟ الحد الأول ولا اللي بعده؟
+
+228
+00:24:45,170 --> 00:24:50,990
+اليمين. اليمين هذا أكبر؟ الشمال. الشمال. الأولاني
+
+229
+00:24:50,990 --> 00:24:55,030
+هذا أكبر، لأنه البسطى بقى أكبر. أنا جيت عند أخر حد
+
+230
+00:24:55,030 --> 00:25:00,090
+وكتبت الباقي زيه. يبقى هذا أكبر من هذا، هذا أكبر
+
+231
+00:25:00,090 --> 00:25:04,360
+من هذا، واللي بعده ..أخر واحد بس هو اللي بيسويهم،
+
+232
+00:25:04,360 --> 00:25:10,240
+إذا و المقام ثابت، إذا هذا المقدار أكبر من هذا
+
+233
+00:25:10,240 --> 00:25:15,880
+المقدار، طب ليش سويت هيك؟ مش هندبر أجمعهم كلهم
+
+234
+00:25:15,880 --> 00:25:20,600
+اللي مضربات في بعض على شكل series وبالتالي يكون
+
+235
+00:25:20,600 --> 00:25:25,740
+سهل اللي هو المقارنة معاه، هدول كام حد اللي فوق
+
+236
+00:25:25,740 --> 00:25:33,200
+برضه هدول؟ه يبجى هدول N ناقص واحد عددهم يبجى هذا
+
+237
+00:25:33,200 --> 00:25:41,340
+كأنه مين اللي هو N زائد واحد على الاتنين كله N
+
+238
+00:25:41,340 --> 00:25:47,320
+ناقص واحد طيب
+
+239
+00:25:47,320 --> 00:25:55,050
+احنا مشينا هنا اكبر منبدي أمشي أكبر منه السؤال هو
+
+240
+00:25:55,050 --> 00:26:00,170
+مين اللي أكبر؟ العدد ولا لغرتم العدد؟ العدد أكبر
+
+241
+00:26:00,170 --> 00:26:08,870
+كتير، إذا هذا أكبر من لن M زائد واحد على اتنين قص
+
+242
+00:26:08,870 --> 00:26:15,470
+M ناقص واحد هذا اللي هو بيساوي مين؟ بيساوي M ناقص
+
+243
+00:26:15,470 --> 00:26:19,590
+واحد لن ال M زائد واحد على الاتنين
+
+244
+00:26:27,130 --> 00:26:33,450
+هذا الحد النوني في ال series الأصلية صحيح أنا من
+
+245
+00:26:33,450 --> 00:26:36,510
+ال series الأصلية مش قادر أجيب لا geometric ولا
+
+246
+00:26:36,510 --> 00:26:41,110
+harmonic ولا P روحت دورت على series ثانية هذا
+
+247
+00:26:41,110 --> 00:26:46,950
+يعتبر حد نونيفي سيريز ثانية، مظبوط ولا لا؟ باجي
+
+248
+00:26:46,950 --> 00:26:51,090
+يقول والله إذا طلعت السيريز هذه divert، يبقى
+
+249
+00:26:51,090 --> 00:26:55,250
+الأصلية عندي divert لأنها أكبر منها، وإذا طلعت
+
+250
+00:26:55,250 --> 00:27:00,130
+converge مشورنا زي بعض، كل شغلنا راح أوي، مظبوط؟
+
+251
+00:27:00,130 --> 00:27:02,290
+يبقى باجي يقولهم بقى
+
+252
+00:27:05,030 --> 00:27:11,670
+Limit لل N ناقص واحد لإن ال N زائد واحد على اتنين
+
+253
+00:27:11,670 --> 00:27:14,370
+لما ال N tends to infinity
+
+254
+00:27:19,050 --> 00:27:24,530
+الأولى مقدش والتانية ما لا نهاية في ما لا نهاية في
+
+255
+00:27:24,530 --> 00:27:29,610
+ما لا نهاية يبقى بالإنث تيرم تست ال series هذي ما
+
+256
+00:27:29,610 --> 00:27:35,130
+لها by this هذا بدي يعطيلك by the
+
+257
+00:27:44,400 --> 00:27:51,300
+اللي هي summation من N equal one to infinity لل N
+
+258
+00:27:51,300 --> 00:27:57,200
+minus ال one لإن ال N plus one على اتنين مالها
+
+259
+00:27:57,200 --> 00:28:03,640
+diverged الآن بال comparison test اللي أكبر منها
+
+260
+00:28:03,640 --> 00:28:07,820
+مالها فاحنا مش بدنا في الشغل هذه ماحنا اللي أكبر
+
+261
+00:28:07,820 --> 00:28:12,650
+منها قلناها diverged من الأولمظبوط؟ يبقى انا كل
+
+262
+00:28:12,650 --> 00:28:16,010
+اللي عندي ال limit هذي ما لابد يسوى ال infinity،
+
+263
+00:28:16,010 --> 00:28:22,200
+إذا هذا اللي كتبته كلام زيادة مالزمنيشالـ limit كل
+
+264
+00:28:22,200 --> 00:28:27,280
+اللي بقدر أقوله أنه هذا بدي يعطيني دغري summation
+
+265
+00:28:27,280 --> 00:28:32,520
+طبعا limit لما ال N tends to infinity كل اللي بديه
+
+266
+00:28:32,520 --> 00:28:39,020
+summation N ناقص واحد لإن ال N زائد واحد على اتنين
+
+267
+00:28:39,020 --> 00:28:48,740
+ما لها هذي اللي هو ال series هذيقلنا هذا ضعيف، هذا
+
+268
+00:28:48,740 --> 00:28:54,780
+ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا
+
+269
+00:28:54,780 --> 00:29:01,500
+ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا
+
+270
+00:29:01,500 --> 00:29:05,980
+ضعيفهذا ال limit له بمعنى لا نهاية، هذا ال limit
+
+271
+00:29:05,980 --> 00:29:12,060
+للي فوق يبقى دياشر، بمعنى لا نهاية يبقى سا اللي هو
+
+272
+00:29:12,060 --> 00:29:17,820
+ال limit لما ال n tends to infinity للإتنين N
+
+273
+00:29:17,820 --> 00:29:24,660
+factorial على اتنين أس N في ال N factorial في ال N
+
+274
+00:29:24,870 --> 00:29:31,230
+بدي يساوي infinity هذا بدي يعطيك انه summation
+
+275
+00:29:31,230 --> 00:29:39,010
+لسالب واحد to the power N للاتنين N factorial على
+
+276
+00:29:39,010 --> 00:29:45,470
+الاتنين أس N في ال N factorial في ال N مالها
+
+277
+00:29:45,470 --> 00:29:50,190
+divergence تانية من نفسي يعني ايش الشرط التالت لم
+
+278
+00:29:50,190 --> 00:29:55,220
+يتحققفلذلك ال series طالة ان دي معلها diverse طبعا
+
+279
+00:29:55,220 --> 00:29:59,200
+هذا السؤال يعتبر من المسألة الصعبة لإنه بده تفكير
+
+280
+00:29:59,200 --> 00:30:04,770
+كثير و كما اتعودنافى ال section الماضى أعطيتك
+
+281
+00:30:04,770 --> 00:30:09,230
+بالنسبال أربعة فى أخر الأسئلة ولا واحد زى التانى
+
+282
+00:30:09,230 --> 00:30:13,510
+وكل واحد بفكرة وكانت أعتبر أسئلة صعبة إذا قُرنت
+
+283
+00:30:13,510 --> 00:30:18,130
+بالمجموعة من المسائل اللى قبلها وصلنا إلى
+
+284
+00:30:18,130 --> 00:30:27,590
+exercises اللى هي عاشرة ستةExercises عشرة ستة من
+
+285
+00:30:27,590 --> 00:30:34,170
+واحد لتمانية واربعين اللي هي multiple of three
+
+286
+00:30:34,170 --> 00:30:42,970
+بدنا
+
+287
+00:30:42,970 --> 00:30:48,290
+الأن نيجي ل section عشرة سبعة اللي هو أهم section
+
+288
+00:30:48,290 --> 00:30:50,710
+موجود في هذا الشرطر
+
+289
+00:31:08,890 --> 00:31:15,090
+تبقى عشرة سبعة هو ال power series
+
+290
+00:31:19,400 --> 00:31:23,600
+بتعرف ما هي ال power series وبعد هيك نبحث ال
+
+291
+00:31:23,600 --> 00:31:27,240
+convergence و ال divergence لل power series
+
+292
+00:31:27,240 --> 00:31:32,560
+definition power
+
+293
+00:31:32,560 --> 00:31:41,020
+series is
+
+294
+00:31:41,020 --> 00:31:51,590
+a series andThe fourth الشكل التالي summation من n
+
+295
+00:31:51,590 --> 00:31:57,830
+equal zero to infinity ل c n x لأقصى a to the
+
+296
+00:31:57,830 --> 00:32:00,010
+power m يعني
+
+297
+00:32:18,160 --> 00:32:21,980
+زاد إلى آخره
+
+298
+00:32:25,820 --> 00:32:36,180
+الـA والـC0 والـC1 والـC2 والـCN وكذلك هدول كلهم
+
+299
+00:32:36,180 --> 00:32:49,200
+are constants هدول كلهم ثوابت and الـA is the
+
+300
+00:32:49,200 --> 00:32:49,860
+center
+
+301
+00:32:53,770 --> 00:33:05,070
+of the power series مركز ال power series نقطة
+
+302
+00:33:05,070 --> 00:33:15,410
+مهمة لو كان ال a تساوي zero then the power series
+
+303
+00:33:15,410 --> 00:33:17,250
+becomes
+
+304
+00:33:19,130 --> 00:33:25,190
+تصبح على الشكل التالي summation من n equal zero to
+
+305
+00:33:25,190 --> 00:33:35,810
+infinity ل cn x to the power m وتساوي c0, c1x, c2x
+
+306
+00:33:35,810 --> 00:33:41,290
+تربية, cn xn زائد إلى آخرين
+
+307
+00:34:11,430 --> 00:34:18,560
+Power Series يعني متسلسلات القوةكويس إذا هذه
+
+308
+00:34:18,560 --> 00:34:23,200
+بتختلف عن ما سبقها من ناحية الشكل ال X عندي
+
+309
+00:34:23,200 --> 00:34:29,120
+variable متغير مش مقدار ف فبقول ال power series هي
+
+310
+00:34:29,120 --> 00:34:32,620
+أدارة عن series في الشكل التالي summation من N
+
+311
+00:34:32,620 --> 00:34:38,260
+equal zero to infinity لCNX ناقص ال A to the power
+
+312
+00:34:38,260 --> 00:34:41,740
+M ممكن نفكر ال summation و نكتبها على الشكل اللي
+
+313
+00:34:41,740 --> 00:34:47,640
+قدامنا هذا C9 C1 مضروبة في X ناقص ال AC2 في الـ X
+
+314
+00:34:47,640 --> 00:34:53,640
+ناقص A لكل تربيع زائد زائد C X ناقص A to the power
+
+315
+00:34:53,640 --> 00:35:00,540
+N كل السيهات اللي عندي هدول و ال A معاهم ثوابت ال
+
+316
+00:35:00,540 --> 00:35:05,260
+A بسميها مركز ال power series ليش مركز ال power
+
+317
+00:35:05,260 --> 00:35:10,900
+series و الله ايش معناه هذا ما سنوضحه بعد قليل ان
+
+318
+00:35:10,900 --> 00:35:15,300
+شاء اللهلكن ممكن اخد حالة خاصة من هنا شو الحالة
+
+319
+00:35:15,300 --> 00:35:21,260
+الخاصة لو كانت ال a تساوي zero إذا بدها تطير كل ال
+
+320
+00:35:21,260 --> 00:35:25,320
+a من ال series اللي عندنا وتصبح ال series اللي
+
+321
+00:35:25,320 --> 00:35:31,560
+عندنا على الشكل التالي Cn x to the power n يبقى C0
+
+322
+00:35:31,560 --> 00:35:38,080
+زائد C1x زائد C2x تربيع زائد زائد Cn xn زائد إلى
+
+323
+00:35:38,080 --> 00:35:44,520
+آخرين يبقى هذه اسمها power seriesوهذه اسمها power
+
+324
+00:35:44,520 --> 00:35:48,080
+series مادام ال power series و احنا من اول ال
+
+325
+00:35:48,080 --> 00:35:51,400
+chapter و احنا ماشيين converge و diverge اذا ال
+
+326
+00:35:51,400 --> 00:35:55,840
+series هذه بدي اعرف هل هي converge او diverge او
+
+327
+00:35:55,840 --> 00:36:01,320
+اكتشف تبقى converge و ما إلى ذلك طبعا x متغير على
+
+328
+00:36:01,320 --> 00:36:06,430
+ال real lineوبالتالي بدي ابحث ال convergence لل
+
+329
+00:36:06,430 --> 00:36:14,570
+power series يبقى احط لهنوان جانبي convergence of
+
+330
+00:36:14,570 --> 00:36:23,650
+the power series summation من n equal zero to
+
+331
+00:36:23,650 --> 00:36:32,600
+infinity ل cn x نقص ال a to the power nبنجي للـ
+
+332
+00:36:32,600 --> 00:36:38,300
+Power Series. تمام؟ قد تكون Converge وقد تكون
+
+333
+00:36:38,300 --> 00:36:43,260
+Divergence. بده يشوف وين فترة ال Convergence وين
+
+334
+00:36:43,260 --> 00:36:48,280
+فترة ال Divergence لل Power Series. شوف يا سيدي،
+
+335
+00:36:48,280 --> 00:36:53,280
+أي Power Series إلها إحدى الحالات التلاتة، مش
+
+336
+00:36:53,280 --> 00:36:56,240
+الحالات التلاتة مرة واحدة، لأ، ال Series واحدة
+
+337
+00:36:56,240 --> 00:37:00,140
+اللي هي واحدة من التلات حالته، بنذكرها. الحالة
+
+338
+00:37:00,140 --> 00:37:04,460
+الأولى.إن ال power series ممكن تكون بس converge
+
+339
+00:37:04,460 --> 00:37:12,700
+عند نقطة و diverge على كل ال real line الباقى ال
+
+340
+00:37:12,700 --> 00:37:16,260
+series
+
+341
+00:37:16,260 --> 00:37:21,140
+قد تكون converge على كل ال real line بلا استثناء و
+
+342
+00:37:21,140 --> 00:37:25,930
+divergence ماعنديشالحالات التالتة ممكن تبقى
+
+343
+00:37:25,930 --> 00:37:31,090
+converge على فترة و diverge برا هذه الفترة،
+
+344
+00:37:31,090 --> 00:37:35,270
+اتفاهم؟ اذا احنا بدنا نرجع لكل حالة من الحالات
+
+345
+00:37:35,270 --> 00:37:40,150
+التلاتة، فيها هنا يا شباب حاجة اسمها فترة التقارب
+
+346
+00:37:40,150 --> 00:37:46,450
+للمتسلسلة، وفي حاجة اسمها نصف قطر التقارب لمن؟
+
+347
+00:37:46,450 --> 00:37:50,090
+للفترة، طبعا لو ارسم دائرة، في عندك حاجة اسم نصف
+
+348
+00:37:50,090 --> 00:37:54,200
+القطر تبقى دائرةبقى الدائرة نقول تقارب يبقى بدى
+
+349
+00:37:54,200 --> 00:38:00,480
+يعرف كده نصف قطرة تقارب، تمام؟ الدائرة إليها مركز
+
+350
+00:38:00,480 --> 00:38:05,140
+بقول إنها مركز الدائرة، يبقى هنا إيش قولنا؟ مركز
+
+351
+00:38:05,140 --> 00:38:09,080
+ال power series، مركز ال power series هو مين؟ هو
+
+352
+00:38:09,080 --> 00:38:13,660
+النقطة إيه اللي عندنا ال X بتبقى على مينها؟ وعلى
+
+353
+00:38:13,660 --> 00:38:18,240
+شمالها ال series converge حواليهايبقى هي بتيجي في
+
+354
+00:38:18,240 --> 00:38:23,280
+مركز التقارب اللي بسميه مركز ال power series الان
+
+355
+00:38:23,280 --> 00:38:25,080
+هاوريكي بالرسم
+
+356
+00:38:28,280 --> 00:38:32,800
+السيريز نمروحها قد تكون converge عندها نقطة، إذا
+
+357
+00:38:32,800 --> 00:38:37,120
+كانت converge عندها نقطة، يبقى كم نصف قطر التقارب؟
+
+358
+00:38:37,120 --> 00:38:40,860
+صفر، تمام، لإن ماعنديش إلا نقطة، كم طول النقطة؟
+
+359
+00:38:40,860 --> 00:38:45,620
+صفر، يبقى نصف القطر التقارب يسوء صفر، الحالة
+
+360
+00:38:45,620 --> 00:38:49,620
+التانية، السيريز تكون converge على كل ال real line
+
+361
+00:38:58,940 --> 00:39:03,760
+الحالة التالتة ممكن تبقى ال series converge على
+
+362
+00:39:03,760 --> 00:39:10,600
+فترة معينةيبقى خارج هذه الفترة الـ series diverse،
+
+363
+00:39:10,600 --> 00:39:14,620
+بدي نصف القطر، بشوف قداش طول الفترة أو مجسمه على
+
+364
+00:39:14,620 --> 00:39:20,160
+مين؟ على الأتنين طب عند طرفين الفترة هذه، ممكن ال
+
+365
+00:39:20,160 --> 00:39:24,690
+series converge عند الطرفينيمكن ان يكون مختلف عند
+
+366
+00:39:24,690 --> 00:39:29,230
+الطرفين ويمكن ان يكون مختلف عن طرفه ومختلف عن طرفه
+
+367
+00:39:29,230 --> 00:39:35,370
+عند الطرف الآخر لذلك هذا ما سنبحثه في كل مسألة على
+
+368
+00:39:35,370 --> 00:39:40,410
+حدد الكلام اللي انت سمعته بدي اروح الخصه حتى نبدأ
+
+369
+00:39:40,410 --> 00:39:45,820
+ناخد عليه امثلةفبجي بقول ما ياتي four any power
+
+370
+00:39:45,820 --> 00:39:53,560
+series يبقى four لأي power series summation من N
+
+371
+00:39:53,560 --> 00:40:02,560
+equal zero to infinity لمين؟ لCN X ناقص ال A to
+
+372
+00:40:02,560 --> 00:40:05,460
+the power N exactly
+
+373
+00:40:09,930 --> 00:40:18,450
+واحد من التالي هو حقيقة واحد من التالي
+
+374
+00:40:18,450 --> 00:40:22,250
+هو
+
+375
+00:40:22,250 --> 00:40:32,670
+حقيقة النقطة الأولى السلسلة
+
+376
+00:40:32,670 --> 00:40:35,830
+تتعامل
+
+377
+00:40:35,830 --> 00:40:49,490
+فقطفقط at x يساوي a and diverge
+
+378
+00:40:49,490 --> 00:40:56,810
+elsewhere تبقى convergence عند نقطة و diverge عند
+
+379
+00:40:56,810 --> 00:41:01,650
+أي مكان آخر في أي نقطة في هذه الحالة بقول the
+
+380
+00:41:01,650 --> 00:41:08,150
+radius of convergence is
+
+381
+00:41:09,350 --> 00:41:17,550
+ر تساوي زيرو نمرة اتنين the series converge
+
+382
+00:41:17,550 --> 00:41:25,510
+absolutely for
+
+383
+00:41:25,510 --> 00:41:34,190
+all x يبقى على كل ال real line بالاستثناء في هذه
+
+384
+00:41:34,190 --> 00:41:47,240
+الحالةبقول the radius of convergence as R تسوى
+
+385
+00:41:47,240 --> 00:41:55,440
+نمرة تلاتة نمرة تلاتة there is a positive real
+
+386
+00:41:55,440 --> 00:41:56,080
+number
+
+387
+00:42:07,230 --> 00:42:17,910
+capital R اللي بدي أسميه the radius of convergence
+
+388
+00:42:17,910 --> 00:42:29,730
+نصف قطرة التقارب such
+
+389
+00:42:29,730 --> 00:42:36,270
+that بحيث أن the series
+
+390
+00:42:40,870 --> 00:42:50,390
+converge absolutely for absolute value ل X ناقص ال
+
+391
+00:42:50,390 --> 00:43:00,130
+A أقل من R and diverge for absolute value ل X ناقص
+
+392
+00:43:00,130 --> 00:43:03,030
+ال A greater than R
+
+393
+00:43:07,460 --> 00:43:18,860
+بعض الملاحظات، نمرا واحد The series may or
+
+394
+00:43:18,860 --> 00:43:28,160
+may not converge at the points
+
+395
+00:43:35,570 --> 00:43:55,090
+X يساوي A ناقص R و X يساوي A زائد R نمرة اتنين For
+
+396
+00:43:55,090 --> 00:43:58,190
+convergence
+
+397
+00:43:58,190 --> 00:44:03,330
+of the power
+
+398
+00:44:21,220 --> 00:44:24,480
+يبقى اما هذا او هذا
+
+399
+00:44:43,420 --> 00:44:45,060
+السلام عليكم
+
+400
+00:45:16,200 --> 00:45:20,940
+الامر يرجع للنقاط الثلاثة التي أشرنا إليها قبل
+
+401
+00:45:20,940 --> 00:45:27,090
+قليلبقول ليش؟ for any power series على الشكل هذا
+
+402
+00:45:27,090 --> 00:45:30,250
+أو الشكل التاني، لأن الشكل التاني حالة خاصة من
+
+403
+00:45:30,250 --> 00:45:34,190
+الشكل الأول. إذا ما ينطبق على هذه ال power series،
+
+404
+00:45:34,190 --> 00:45:37,530
+ينطبق على مين؟ على ال series التانية اللي عندنا،
+
+405
+00:45:37,530 --> 00:45:41,110
+لأنها حالة خاصة منها. يبقى exactly one of the
+
+406
+00:45:41,110 --> 00:45:45,710
+following is true، يبقى واحد من التلاتة هدول سيكون
+
+407
+00:45:45,710 --> 00:45:49,790
+عندي صحيح.النقطة الأولى بيقول ال series converge
+
+408
+00:45:49,790 --> 00:45:56,510
+only at x يساوي undiverged elsewhere في أي مكان
+
+409
+00:45:56,510 --> 00:46:04,170
+آخر يعني شباب لو جيت اتخيلت هذا ال real line كلهفي
+
+410
+00:46:04,170 --> 00:46:09,890
+عندى نقطة هنا اليمين النقطة ايه ال series عندها
+
+411
+00:46:09,890 --> 00:46:16,630
+converge لكن لو جيت على اليمين بتبقى diverge و لو
+
+412
+00:46:16,630 --> 00:46:21,570
+جيت على الشمال مالها بتبقى diverge يبقى ال series
+
+413
+00:46:21,570 --> 00:46:26,430
+converge فقط عند نقطة و عند باقى ال real line كله
+
+414
+00:46:26,430 --> 00:46:31,440
+diverge بلا استثناءفي مثل هذه الحالة بيكون نصف قطر
+
+415
+00:46:31,440 --> 00:46:36,580
+التقارب للنقطة اللي هو زيه، والحظين، بنجي للنقطة
+
+416
+00:46:36,580 --> 00:46:41,020
+الثانية، بيقولوا the series converge absolutely
+
+417
+00:46:41,020 --> 00:46:45,920
+for all x يبقى أي قيمة ال X على كل الريالين ال
+
+418
+00:46:45,920 --> 00:46:50,480
+series converge absolutely يبقى قداش طول ال
+
+419
+00:46:50,480 --> 00:46:55,720
+interval of convergenceمن سالب infinity إلى
+
+420
+00:46:55,720 --> 00:47:01,340
+infinity و ال series بتبقى converge على كل ال real
+
+421
+00:47:01,340 --> 00:47:06,560
+line بلا استثناء يبقى لو قلت هذه zero بتبقى ال
+
+422
+00:47:06,560 --> 00:47:12,240
+series هنا converge absolutely على كل real line و
+
+423
+00:47:12,240 --> 00:47:16,590
+ماعنديش divergenceيبقى في هذه الحالة ال interval
+
+424
+00:47:16,590 --> 00:47:20,610
+of convergence بتكون من سالب infinity إلى infinity
+
+425
+00:47:20,610 --> 00:47:26,010
+وال radius of convergence بيكون قداش infinity حالة
+
+426
+00:47:26,010 --> 00:47:31,640
+التالتة بيقول لازم تلاقي عدد موجد Rاللي هو بنسميه
+
+427
+00:47:31,640 --> 00:47:35,640
+the radius of convergence بحيث ان ال series
+
+428
+00:47:35,640 --> 00:47:40,260
+converge for الفترة اللي عندنا هذه بقول استنى شوية
+
+429
+00:47:40,260 --> 00:47:46,000
+هذه لو حبيت احلها ال inequality يبقى انا عند ايه
+
+430
+00:47:46,000 --> 00:47:54,140
+ناقص ال ايه ناقص ال ايه الجصدي ال x ناقص ال aX نقص
+
+431
+00:47:54,140 --> 00:47:59,920
+الـ A أقل من R وأكبر من من؟ من سلب R، لو أضفنا A
+
+432
+00:47:59,920 --> 00:48:05,640
+إلى ثلاثة أطراف، بيصير الـ A نقص الـ R أقل من X
+
+433
+00:48:05,640 --> 00:48:11,840
+أقل من الـ A زائد الـ R، يعني أنا عندي فترة، هي
+
+434
+00:48:11,840 --> 00:48:17,880
+الفترةهذه النقطة ايه؟ طبعاً هذا الـ real line وهذا
+
+435
+00:48:17,880 --> 00:48:23,480
+الـ real line جت عندي مسافة من هنا لهنا اسمها R
+
+436
+00:48:23,480 --> 00:48:29,520
+ليه المسافة دي؟ وهنا مسافة جدها اسمها كذلك R إذاً
+
+437
+00:48:29,520 --> 00:48:34,440
+النقطة هذه اللي احدثي تبعها A زائد الـ R والنقطة
+
+438
+00:48:34,440 --> 00:48:40,400
+هذه اللي احدثي تبعها A ناقص الـ Rيبقى الفترة
+
+439
+00:48:40,400 --> 00:48:45,060
+تتقارب تبقى الفترة اللى عندنا هادى اللى بتبقى
+
+440
+00:48:45,060 --> 00:48:49,820
+converge absolutely لكن بعد الفترة هادى بتكون
+
+441
+00:48:49,820 --> 00:48:56,180
+diverge وقبلها هيك بتكون مالها diverge كذلك إذا ال
+
+442
+00:48:56,180 --> 00:49:02,280
+series converge absolutely على الفترة من A سالب R
+
+443
+00:49:04,640 --> 00:49:10,220
+بعد ال A زائد R Diverge وقبل ال A سالب R مالها
+
+444
+00:49:10,220 --> 00:49:15,760
+Diverge يبقى هذي Converge على الفترة هذي هذي لو جت
+
+445
+00:49:15,760 --> 00:49:23,160
+أحلها معناته A نقص R greater than R يعني X أكبر من
+
+446
+00:49:23,160 --> 00:49:30,390
+مين من A زائد Rأو الـ X نقص الـ A أقل من سالب R
+
+447
+00:49:30,390 --> 00:49:37,290
+يبقى بيصير الـ X أقل من الـ A نقص R اللي هي
+
+448
+00:49:37,290 --> 00:49:41,750
+جاملها، يبقى هذا حل هذا و هذا، احنا على أي حال،
+
+449
+00:49:41,750 --> 00:49:46,820
+هذا ملزمنيش حلهابالزمن هذه لو حلتها دي جبت فترة ال
+
+450
+00:49:46,820 --> 00:49:50,020
+convergence إذا باقى الفترة اللي بضال على الجانبين
+
+451
+00:49:50,020 --> 00:49:55,920
+معاها diverse تمام تمام المضاحفات بيقول لي عند
+
+452
+00:49:55,920 --> 00:50:00,020
+الطرفين اللي عند النقطة هذه و عند النقطة هذه ال
+
+453
+00:50:00,020 --> 00:50:05,460
+series يمكن تبقى converge ويمكن تبقى diverse طيب
+
+454
+00:50:05,460 --> 00:50:10,100
+ماشي العيب جبنبحث كل واحدة فيهم على حدة بعدك four
+
+455
+00:50:10,100 --> 00:50:13,830
+convergence of the four seriesبنستخدم احد
+
+456
+00:50:13,830 --> 00:50:17,990
+اختبارين، يا اما اختبار النسبة، يا اما اختبار
+
+457
+00:50:17,990 --> 00:50:23,290
+الجذر ان انا باطلع في شكل المسألة، وبناء عليه بحكم
+
+458
+00:50:23,290 --> 00:50:27,270
+الاختبار النسبة او اختبار الجذر ان انا وكون X
+
+459
+00:50:27,270 --> 00:50:31,970
+ماعرفاش موجب والله سالب اذا لازم ااخد ال absolute
+
+460
+00:50:31,970 --> 00:50:35,050
+يعني the series of absolute values
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/i8FDb_nVBfE_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/i8FDb_nVBfE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..af640c38f2da771ae2dd34eace736f456236a0f7
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/i8FDb_nVBfE_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 270, "start": 0.0, "end": 2.7, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3798828025658925, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.003993988037109375, "words": [{"start": 0.0, "end": 2.7, "word": "موسيقى", "probability": 0.73380126953125}], "temperature": 1.0}, {"id": 2, "seek": 2992, "start": 10.56, "end": 29.92, "text": "بسم الله الرحمن الرحيم نكمل ما ابتدأناه في المحاضرات الماضية و هي موضوع ال alternating series بذكر قبل أن نبدأ بالامثلة المرة اللي فاتت شرحنا الموضوع و أعطينا سبعة أمثلة و لازم نواصل الأمثلة على نفس الموضوع", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 24793, 1211, 19446, 48127, 2655, 3215, 10721, 8315, 3224, 8978, 9673, 5016, 46958, 2288, 9307, 9673, 46958, 10632, 4032, 39896, 3714, 2407, 11242, 45367, 2423, 40062, 2638, 4724, 8848, 37983, 12174, 36150, 14739, 8717, 44510, 10721, 20666, 10943, 12984, 37977, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 13412, 2288, 5016, 8315, 9673, 2407, 11242, 45367, 4032, 5551, 3615, 9566, 1829, 8315, 8608, 3555, 27884, 5551, 2304, 12984, 37977, 4032, 5296, 31377, 2304, 8717, 2407, 33546, 1211, 16247, 2304, 12984, 37977, 15844, 8717, 36178, 9673, 2407, 11242, 45367], "avg_logprob": -0.1308195189553864, "compression_ratio": 1.7259615384615385, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 10.56, "end": 10.84, "word": "بسم", "probability": 0.886962890625}, {"start": 10.84, "end": 11.04, "word": " الله", "probability": 0.982421875}, {"start": 11.04, "end": 11.42, "word": " الرحمن", "probability": 0.9651692708333334}, {"start": 11.42, "end": 12.04, "word": " الرحيم", "probability": 0.9928385416666666}, {"start": 12.04, "end": 13.38, "word": " نكمل", "probability": 0.8458658854166666}, {"start": 13.38, "end": 13.48, "word": " ما", "probability": 0.78125}, {"start": 13.48, "end": 14.16, "word": " ابتدأناه", "probability": 0.8535970052083334}, {"start": 14.16, "end": 14.26, "word": " في", "probability": 0.9599609375}, {"start": 14.26, "end": 15.04, "word": " المحاضرات", "probability": 0.95322265625}, {"start": 15.04, "end": 15.6, "word": " الماضية", "probability": 0.9913736979166666}, {"start": 15.6, "end": 15.74, "word": " و", "probability": 0.25}, {"start": 15.74, "end": 15.88, "word": " هي", "probability": 0.90771484375}, {"start": 15.88, "end": 16.68, "word": " موضوع", "probability": 0.9244384765625}, {"start": 16.68, "end": 17.3, "word": " ال", "probability": 0.8876953125}, {"start": 17.3, "end": 18.24, "word": " alternating", "probability": 0.84033203125}, {"start": 18.24, "end": 19.28, "word": " series", "probability": 0.86865234375}, {"start": 19.28, "end": 20.44, "word": " بذكر", "probability": 0.710205078125}, {"start": 20.44, "end": 20.92, "word": " قبل", "probability": 0.989013671875}, {"start": 20.92, "end": 21.18, "word": " أن", "probability": 0.76513671875}, {"start": 21.18, "end": 21.66, "word": " نبدأ", "probability": 0.9384765625}, {"start": 21.66, "end": 22.34, "word": " بالامثلة", "probability": 0.9188232421875}, {"start": 22.34, "end": 23.24, "word": " المرة", "probability": 0.75244140625}, {"start": 23.24, "end": 23.36, "word": " اللي", "probability": 0.6102294921875}, {"start": 23.36, "end": 23.78, "word": " فاتت", "probability": 0.9431966145833334}, {"start": 23.78, "end": 24.46, "word": " شرحنا", "probability": 0.9300537109375}, {"start": 24.46, "end": 24.94, "word": " الموضوع", "probability": 0.88330078125}, {"start": 24.94, "end": 25.16, "word": " و", "probability": 0.84912109375}, {"start": 25.16, "end": 25.52, "word": " أعطينا", "probability": 0.8853515625}, {"start": 25.52, "end": 25.98, "word": " سبعة", "probability": 0.9041341145833334}, {"start": 25.98, "end": 26.46, "word": " أمثلة", "probability": 0.9552001953125}, {"start": 26.46, "end": 26.62, "word": " و", "probability": 0.6064453125}, {"start": 26.62, "end": 27.02, "word": " لازم", "probability": 0.7991536458333334}, {"start": 27.02, "end": 27.92, "word": " نواصل", "probability": 0.9622802734375}, {"start": 27.92, "end": 28.62, "word": " الأمثلة", "probability": 0.969970703125}, {"start": 28.62, "end": 28.84, "word": " على", "probability": 0.92333984375}, {"start": 28.84, "end": 29.22, "word": " نفس", "probability": 0.995849609375}, {"start": 29.22, "end": 29.92, "word": " الموضوع", "probability": 0.9979248046875}], "temperature": 1.0}, {"id": 3, "seek": 5487, "start": 36.17, "end": 54.87, "text": "وانتقلت من ال alternating إلى series كل حدودها موجبة إذا بإمكاني استخدم أي اختبار من الاختبارات السابقة التي سبقت دراستها بالإضافة إلى تلاتة series المشهورة وهي ال geometric وال harmonic وال P series", "tokens": [2407, 7649, 2655, 4587, 1211, 2655, 9154, 2423, 40062, 30731, 2638, 28242, 11331, 3215, 23328, 11296, 3714, 29245, 49401, 11933, 15730, 4724, 28814, 2304, 41361, 1829, 44713, 9778, 40448, 36632, 1975, 46456, 3555, 9640, 9154, 2423, 47283, 2655, 3555, 9640, 9307, 21136, 16758, 28671, 38392, 8608, 3555, 38149, 11778, 23557, 14851, 11296, 20666, 28814, 11242, 31845, 3660, 30731, 6055, 1211, 9307, 3660, 2638, 9673, 8592, 3224, 13063, 3660, 37037, 1829, 2423, 33246, 16070, 32270, 16070, 430, 2638], "avg_logprob": -0.24939903387656578, "compression_ratio": 1.6275510204081634, "no_speech_prob": 0.0, "words": [{"start": 36.17, "end": 37.25, "word": "وانتقلت", "probability": 0.5694376627604166}, {"start": 37.25, "end": 37.39, "word": " من", "probability": 0.912109375}, {"start": 37.39, "end": 37.55, "word": " ال", "probability": 0.53173828125}, {"start": 37.55, "end": 38.21, "word": " alternating", "probability": 0.4560546875}, {"start": 38.21, "end": 38.89, "word": " إلى", "probability": 0.57177734375}, {"start": 38.89, "end": 39.63, "word": " series", "probability": 0.57470703125}, {"start": 39.63, "end": 40.05, "word": " كل", "probability": 0.701171875}, {"start": 40.05, "end": 40.83, "word": " حدودها", "probability": 0.9893798828125}, {"start": 40.83, "end": 41.37, "word": " موجبة", "probability": 0.95947265625}, {"start": 41.37, "end": 41.67, "word": " إذا", "probability": 0.59344482421875}, {"start": 41.67, "end": 42.53, "word": " بإمكاني", "probability": 0.93955078125}, {"start": 42.53, "end": 43.61, "word": " استخدم", "probability": 0.7681477864583334}, {"start": 43.61, "end": 44.03, "word": " أي", "probability": 0.5263671875}, {"start": 44.03, "end": 44.65, "word": " اختبار", "probability": 0.9642333984375}, {"start": 44.65, "end": 44.81, "word": " من", "probability": 0.97509765625}, {"start": 44.81, "end": 45.49, "word": " الاختبارات", "probability": 0.8807779947916666}, {"start": 45.49, "end": 46.11, "word": " السابقة", "probability": 0.9915364583333334}, {"start": 46.11, "end": 46.45, "word": " التي", "probability": 0.8583984375}, {"start": 46.45, "end": 46.95, "word": " سبقت", "probability": 0.88671875}, {"start": 46.95, "end": 47.75, "word": " دراستها", "probability": 0.975341796875}, {"start": 47.75, "end": 48.87, "word": " بالإضافة", "probability": 0.89423828125}, {"start": 48.87, "end": 49.15, "word": " إلى", "probability": 0.93310546875}, {"start": 49.15, "end": 49.73, "word": " تلاتة", "probability": 0.8226318359375}, {"start": 49.73, "end": 50.13, "word": " series", "probability": 0.92919921875}, {"start": 50.13, "end": 50.99, "word": " المشهورة", "probability": 0.9896484375}, {"start": 50.99, "end": 51.55, "word": " وهي", "probability": 0.751953125}, {"start": 51.55, "end": 51.65, "word": " ال", "probability": 0.8857421875}, {"start": 51.65, "end": 52.17, "word": " geometric", "probability": 0.77490234375}, {"start": 52.17, "end": 52.57, "word": " وال", "probability": 0.732421875}, {"start": 52.57, "end": 53.11, "word": " harmonic", "probability": 0.59130859375}, {"start": 53.11, "end": 53.49, "word": " وال", "probability": 0.76513671875}, {"start": 53.49, "end": 53.95, "word": " P", "probability": 0.39990234375}, {"start": 53.95, "end": 54.87, "word": " series", "probability": 0.433349609375}], "temperature": 1.0}, {"id": 4, "seek": 7290, "start": 56.54, "end": 72.9, "text": "باروح أخد ال series of absolute values والله إذا ال series of absolute values كانت converge يبقى بقول ال series الأصلية converged absolutely إذا ال series طلعت diverged يبقى بقول ال series اللي عندي مالها", "tokens": [3555, 9640, 2407, 5016, 5551, 9778, 3215, 2423, 2638, 295, 8236, 4190, 16070, 43761, 11933, 15730, 2423, 2638, 295, 8236, 4190, 25961, 2655, 41881, 7251, 3555, 4587, 7578, 4724, 39648, 2423, 2638, 16247, 36520, 10632, 9652, 3004, 3122, 11933, 15730, 2423, 2638, 23032, 1211, 34268, 18558, 3004, 7251, 3555, 4587, 7578, 4724, 39648, 2423, 2638, 13672, 1829, 18871, 16254, 3714, 6027, 11296], "avg_logprob": -0.23722718727020992, "compression_ratio": 1.8344370860927153, "no_speech_prob": 0.0, "words": [{"start": 56.54, "end": 57.42, "word": "باروح", "probability": 0.6402587890625}, {"start": 57.42, "end": 57.96, "word": " أخد", "probability": 0.68701171875}, {"start": 57.96, "end": 58.16, "word": " ال", "probability": 0.5810546875}, {"start": 58.16, "end": 58.36, "word": " series", "probability": 0.85693359375}, {"start": 58.36, "end": 58.52, "word": " of", "probability": 0.76416015625}, {"start": 58.52, "end": 58.96, "word": " absolute", "probability": 0.9287109375}, {"start": 58.96, "end": 59.48, "word": " values", "probability": 0.923828125}, {"start": 59.48, "end": 60.02, "word": " والله", "probability": 0.673095703125}, {"start": 60.02, "end": 60.26, "word": " إذا", "probability": 0.94189453125}, {"start": 60.26, "end": 60.38, "word": " ال", "probability": 0.826171875}, {"start": 60.38, "end": 60.58, "word": " series", "probability": 0.92041015625}, {"start": 60.58, "end": 60.7, "word": " of", "probability": 0.9375}, {"start": 60.7, "end": 61.08, "word": " absolute", "probability": 0.95947265625}, {"start": 61.08, "end": 61.56, "word": " values", "probability": 0.95556640625}, {"start": 61.56, "end": 62.12, "word": " كانت", "probability": 0.729248046875}, {"start": 62.12, "end": 62.8, "word": " converge", "probability": 0.66845703125}, {"start": 62.8, "end": 63.48, "word": " يبقى", "probability": 0.8966064453125}, {"start": 63.48, "end": 63.78, "word": " بقول", "probability": 0.9541015625}, {"start": 63.78, "end": 63.94, "word": " ال", "probability": 0.7646484375}, {"start": 63.94, "end": 64.14, "word": " series", "probability": 0.94384765625}, {"start": 64.14, "end": 64.78, "word": " الأصلية", "probability": 0.8201497395833334}, {"start": 64.78, "end": 65.68, "word": " converged", "probability": 0.67236328125}, {"start": 65.68, "end": 66.72, "word": " absolutely", "probability": 0.6591796875}, {"start": 66.72, "end": 67.62, "word": " إذا", "probability": 0.902099609375}, {"start": 67.62, "end": 67.74, "word": " ال", "probability": 0.95166015625}, {"start": 67.74, "end": 68.06, "word": " series", "probability": 0.94775390625}, {"start": 68.06, "end": 68.5, "word": " طلعت", "probability": 0.6554361979166666}, {"start": 68.5, "end": 69.5, "word": " diverged", "probability": 0.5712890625}, {"start": 69.5, "end": 70.06, "word": " يبقى", "probability": 0.9764404296875}, {"start": 70.06, "end": 70.72, "word": " بقول", "probability": 0.9892578125}, {"start": 70.72, "end": 71.16, "word": " ال", "probability": 0.9541015625}, {"start": 71.16, "end": 71.76, "word": " series", "probability": 0.94921875}, {"start": 71.76, "end": 72.08, "word": " اللي", "probability": 0.889404296875}, {"start": 72.08, "end": 72.42, "word": " عندي", "probability": 0.928466796875}, {"start": 72.42, "end": 72.9, "word": " مالها", "probability": 0.8089192708333334}], "temperature": 1.0}, {"id": 5, "seek": 10008, "start": 73.1, "end": 100.08, "text": "اللي هي بقدرش أقول ال series الأصلية بقدرش أقول ال series الأصلية هي diverge وإنما بروح على مين؟ بروح على الشروط التلاتة إذا تحققت الشروط التلاتة بقول ال series converge إذا فشل الشرط التالت أو لم يتحقق الشرط التالت بقول ال series diverge ولماذا الشرط التالت؟ لأن الشرط التالت هو ال", "tokens": [6027, 20292, 39896, 4724, 28543, 2288, 8592, 5551, 39648, 2423, 2638, 16247, 36520, 10632, 4724, 28543, 2288, 8592, 5551, 39648, 2423, 2638, 16247, 36520, 10632, 39896, 18558, 432, 4032, 28814, 1863, 15042, 4724, 32887, 5016, 15844, 3714, 9957, 22807, 4724, 32887, 5016, 15844, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 11933, 15730, 6055, 5016, 4587, 38149, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 4724, 39648, 2423, 2638, 41881, 11933, 15730, 6156, 8592, 1211, 25124, 2288, 9566, 16712, 6027, 2655, 34051, 32767, 7251, 2655, 5016, 4587, 4587, 25124, 2288, 9566, 16712, 6027, 2655, 4724, 39648, 2423, 2638, 18558, 432, 4032, 19528, 45636, 995, 25124, 2288, 9566, 16712, 6027, 2655, 22807, 5296, 33456, 25124, 2288, 9566, 16712, 6027, 2655, 31439, 2423], "avg_logprob": -0.16614582712451617, "compression_ratio": 2.4761904761904763, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 73.1, "end": 73.7, "word": "اللي", "probability": 0.25726318359375}, {"start": 73.7, "end": 74.4, "word": " هي", "probability": 0.7880859375}, {"start": 74.4, "end": 74.88, "word": " بقدرش", "probability": 0.7674560546875}, {"start": 74.88, "end": 75.34, "word": " أقول", "probability": 0.875732421875}, {"start": 75.34, "end": 75.66, "word": " ال", "probability": 0.84521484375}, {"start": 75.66, "end": 75.9, "word": " series", "probability": 0.6240234375}, {"start": 75.9, "end": 77.1, "word": " الأصلية", "probability": 0.7792154947916666}, {"start": 77.1, "end": 78.4, "word": " بقدرش", "probability": 0.83746337890625}, {"start": 78.4, "end": 78.68, "word": " أقول", "probability": 0.979736328125}, {"start": 78.68, "end": 78.86, "word": " ال", "probability": 0.9580078125}, {"start": 78.86, "end": 79.14, "word": " series", "probability": 0.947265625}, {"start": 79.14, "end": 80.16, "word": " الأصلية", "probability": 0.9158528645833334}, {"start": 80.16, "end": 80.6, "word": " هي", "probability": 0.88232421875}, {"start": 80.6, "end": 81.3, "word": " diverge", "probability": 0.4940185546875}, {"start": 81.3, "end": 81.92, "word": " وإنما", "probability": 0.9000244140625}, {"start": 81.92, "end": 82.66, "word": " بروح", "probability": 0.98388671875}, {"start": 82.66, "end": 82.86, "word": " على", "probability": 0.87890625}, {"start": 82.86, "end": 83.4, "word": " مين؟", "probability": 0.6673177083333334}, {"start": 83.4, "end": 83.78, "word": " بروح", "probability": 0.9905598958333334}, {"start": 83.78, "end": 84.08, "word": " على", "probability": 0.9658203125}, {"start": 84.08, "end": 84.92, "word": " الشروط", "probability": 0.9371744791666666}, {"start": 84.92, "end": 85.78, "word": " التلاتة", "probability": 0.8792724609375}, {"start": 85.78, "end": 86.54, "word": " إذا", "probability": 0.838623046875}, {"start": 86.54, "end": 87.24, "word": " تحققت", "probability": 0.8663330078125}, {"start": 87.24, "end": 87.76, "word": " الشروط", "probability": 0.97412109375}, {"start": 87.76, "end": 88.3, "word": " التلاتة", "probability": 0.9771728515625}, {"start": 88.3, "end": 88.62, "word": " بقول", "probability": 0.8466796875}, {"start": 88.62, "end": 88.8, "word": " ال", "probability": 0.97314453125}, {"start": 88.8, "end": 89.02, "word": " series", "probability": 0.95947265625}, {"start": 89.02, "end": 89.74, "word": " converge", "probability": 0.6455078125}, {"start": 89.74, "end": 90.58, "word": " إذا", "probability": 0.959716796875}, {"start": 90.58, "end": 91.3, "word": " فشل", "probability": 0.9742838541666666}, {"start": 91.3, "end": 91.98, "word": " الشرط", "probability": 0.9729817708333334}, {"start": 91.98, "end": 92.7, "word": " التالت", "probability": 0.9601236979166666}, {"start": 92.7, "end": 92.92, "word": " أو", "probability": 0.7001953125}, {"start": 92.92, "end": 93.1, "word": " لم", "probability": 0.72900390625}, {"start": 93.1, "end": 93.72, "word": " يتحقق", "probability": 0.9916015625}, {"start": 93.72, "end": 94.12, "word": " الشرط", "probability": 0.9718424479166666}, {"start": 94.12, "end": 94.68, "word": " التالت", "probability": 0.9913736979166666}, {"start": 94.68, "end": 95.36, "word": " بقول", "probability": 0.96826171875}, {"start": 95.36, "end": 95.54, "word": " ال", "probability": 0.95361328125}, {"start": 95.54, "end": 95.8, "word": " series", "probability": 0.93798828125}, {"start": 95.8, "end": 96.48, "word": " diverge", "probability": 0.92822265625}, {"start": 96.48, "end": 97.04, "word": " ولماذا", "probability": 0.9312744140625}, {"start": 97.04, "end": 97.44, "word": " الشرط", "probability": 0.9715169270833334}, {"start": 97.44, "end": 98.26, "word": " التالت؟", "probability": 0.9744873046875}, {"start": 98.26, "end": 98.54, "word": " لأن", "probability": 0.847412109375}, {"start": 98.54, "end": 98.96, "word": " الشرط", "probability": 0.9397786458333334}, {"start": 98.96, "end": 99.46, "word": " التالت", "probability": 0.98828125}, {"start": 99.46, "end": 99.8, "word": " هو", "probability": 0.9892578125}, {"start": 99.8, "end": 100.08, "word": " ال", "probability": 0.9375}], "temperature": 1.0}, {"id": 6, "seek": 12904, "start": 102.14, "end": 129.04, "text": "وهو نهاية الحد النوني لما ال N بتروح للمالة نهاية لا يساوي Zero لكن ان ساوى Zero بتحقق برج على الشرطين اتنين اتنين المثال الرقم تمانية بيقول فحصل هل ال series هذي converge absolutely converge conditionally diverge او ما إلى ذلك يبقى الخطوة الأولى في الحل بياخد ال series", "tokens": [2407, 3224, 2407, 8717, 11296, 10632, 21542, 3215, 28239, 11536, 1829, 5296, 15042, 2423, 426, 39894, 32887, 5016, 5296, 19528, 6027, 3660, 8717, 11296, 10632, 20193, 7251, 3794, 995, 45865, 17182, 44381, 16472, 8608, 995, 2407, 7578, 17182, 39894, 5016, 4587, 4587, 4724, 47341, 15844, 25124, 2288, 9566, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 9673, 12984, 6027, 34892, 4587, 2304, 46811, 7649, 10632, 4724, 1829, 39648, 6156, 5016, 36520, 8032, 1211, 2423, 2638, 8032, 8848, 1829, 41881, 3122, 41881, 4188, 379, 18558, 432, 1975, 2407, 19446, 30731, 29910, 23275, 7251, 3555, 4587, 7578, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 8978, 21542, 1211, 4724, 1829, 47283, 3215, 2423, 2638], "avg_logprob": -0.2665929076945887, "compression_ratio": 1.7418032786885247, "no_speech_prob": 0.0, "words": [{"start": 102.14, "end": 102.76, "word": "وهو", "probability": 0.7167154947916666}, {"start": 102.76, "end": 103.5, "word": " نهاية", "probability": 0.9215494791666666}, {"start": 103.5, "end": 104.4, "word": " الحد", "probability": 0.67431640625}, {"start": 104.4, "end": 104.88, "word": " النوني", "probability": 0.6511637369791666}, {"start": 104.88, "end": 105.14, "word": " لما", "probability": 0.747802734375}, {"start": 105.14, "end": 105.28, "word": " ال", "probability": 0.81787109375}, {"start": 105.28, "end": 105.44, "word": " N", "probability": 0.299560546875}, {"start": 105.44, "end": 105.88, "word": " بتروح", "probability": 0.8533528645833334}, {"start": 105.88, "end": 106.38, "word": " للمالة", "probability": 0.6077880859375}, {"start": 106.38, "end": 106.92, "word": " نهاية", "probability": 0.9197591145833334}, {"start": 106.92, "end": 107.64, "word": " لا", "probability": 0.626953125}, {"start": 107.64, "end": 108.74, "word": " يساوي", "probability": 0.964599609375}, {"start": 108.74, "end": 109.16, "word": " Zero", "probability": 0.333984375}, {"start": 109.16, "end": 109.44, "word": " لكن", "probability": 0.4794921875}, {"start": 109.44, "end": 109.66, "word": " ان", "probability": 0.445556640625}, {"start": 109.66, "end": 110.04, "word": " ساوى", "probability": 0.828369140625}, {"start": 110.04, "end": 110.38, "word": " Zero", "probability": 0.9365234375}, {"start": 110.38, "end": 111.38, "word": " بتحقق", "probability": 0.8114013671875}, {"start": 111.38, "end": 111.68, "word": " برج", "probability": 0.847412109375}, {"start": 111.68, "end": 111.88, "word": " على", "probability": 0.6123046875}, {"start": 111.88, "end": 112.48, "word": " الشرطين", "probability": 0.9129638671875}, {"start": 112.48, "end": 113.04, "word": " اتنين", "probability": 0.810546875}, {"start": 113.04, "end": 113.82, "word": " اتنين", "probability": 0.7666015625}, {"start": 113.82, "end": 114.86, "word": " المثال", "probability": 0.92333984375}, {"start": 114.86, "end": 115.24, "word": " الرقم", "probability": 0.8494466145833334}, {"start": 115.24, "end": 115.68, "word": " تمانية", "probability": 0.93212890625}, {"start": 115.68, "end": 116.06, "word": " بيقول", "probability": 0.85546875}, {"start": 116.06, "end": 116.7, "word": " فحصل", "probability": 0.7490234375}, {"start": 116.7, "end": 117.02, "word": " هل", "probability": 0.941650390625}, {"start": 117.02, "end": 117.14, "word": " ال", "probability": 0.90869140625}, {"start": 117.14, "end": 117.4, "word": " series", "probability": 0.76611328125}, {"start": 117.4, "end": 118.0, "word": " هذي", "probability": 0.7069498697916666}, {"start": 118.0, "end": 118.6, "word": " converge", "probability": 0.765625}, {"start": 118.6, "end": 119.48, "word": " absolutely", "probability": 0.5869140625}, {"start": 119.48, "end": 120.36, "word": " converge", "probability": 0.2227783203125}, {"start": 120.36, "end": 121.36, "word": " conditionally", "probability": 0.876708984375}, {"start": 121.36, "end": 122.16, "word": " diverge", "probability": 0.689453125}, {"start": 122.16, "end": 122.48, "word": " او", "probability": 0.893798828125}, {"start": 122.48, "end": 122.64, "word": " ما", "probability": 0.9619140625}, {"start": 122.64, "end": 122.92, "word": " إلى", "probability": 0.82568359375}, {"start": 122.92, "end": 123.4, "word": " ذلك", "probability": 0.994384765625}, {"start": 123.4, "end": 124.48, "word": " يبقى", "probability": 0.9718017578125}, {"start": 124.48, "end": 125.24, "word": " الخطوة", "probability": 0.98828125}, {"start": 125.24, "end": 125.98, "word": " الأولى", "probability": 0.9568684895833334}, {"start": 125.98, "end": 126.14, "word": " في", "probability": 0.875}, {"start": 126.14, "end": 126.7, "word": " الحل", "probability": 0.9873046875}, {"start": 126.7, "end": 128.0, "word": " بياخد", "probability": 0.69122314453125}, {"start": 128.0, "end": 128.3, "word": " ال", "probability": 0.529296875}, {"start": 128.3, "end": 129.04, "word": " series", "probability": 0.89111328125}], "temperature": 1.0}, {"id": 7, "seek": 15293, "start": 130.59, "end": 152.93, "text": "of absolute values as summation من N equal one to infinity لمن؟ لل N factorial تربيع تلتة to the power N على اتنين N plus one factorial بهذا الشكل", "tokens": [2670, 8236, 4190, 382, 28811, 9154, 426, 2681, 472, 281, 13202, 5296, 27842, 22807, 24976, 426, 36916, 6055, 2288, 21292, 3615, 6055, 1211, 2655, 3660, 281, 264, 1347, 426, 15844, 1975, 2655, 1863, 9957, 426, 1804, 472, 36916, 39627, 15730, 25124, 28820], "avg_logprob": -0.23237645487452663, "compression_ratio": 1.2328767123287672, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 130.59, "end": 131.27, "word": "of", "probability": 0.142578125}, {"start": 131.27, "end": 133.13, "word": " absolute", "probability": 0.91064453125}, {"start": 133.13, "end": 134.91, "word": " values", "probability": 0.943359375}, {"start": 134.91, "end": 135.69, "word": " as", "probability": 0.67236328125}, {"start": 135.69, "end": 137.13, "word": " summation", "probability": 0.857421875}, {"start": 137.13, "end": 138.09, "word": " من", "probability": 0.75146484375}, {"start": 138.09, "end": 138.45, "word": " N", "probability": 0.340087890625}, {"start": 138.45, "end": 138.99, "word": " equal", "probability": 0.44921875}, {"start": 138.99, "end": 139.37, "word": " one", "probability": 0.7763671875}, {"start": 139.37, "end": 139.67, "word": " to", "probability": 0.95361328125}, {"start": 139.67, "end": 140.63, "word": " infinity", "probability": 0.84375}, {"start": 140.63, "end": 141.93, "word": " لمن؟", "probability": 0.6767578125}, {"start": 141.93, "end": 142.31, "word": " لل", "probability": 0.52197265625}, {"start": 142.31, "end": 142.77, "word": " N", "probability": 0.7861328125}, {"start": 142.77, "end": 143.81, "word": " factorial", "probability": 0.83740234375}, {"start": 143.81, "end": 145.03, "word": " تربيع", "probability": 0.79931640625}, {"start": 145.03, "end": 146.21, "word": " تلتة", "probability": 0.865966796875}, {"start": 146.21, "end": 146.45, "word": " to", "probability": 0.96142578125}, {"start": 146.45, "end": 146.69, "word": " the", "probability": 0.91845703125}, {"start": 146.69, "end": 147.39, "word": " power", "probability": 0.8818359375}, {"start": 147.39, "end": 147.95, "word": " N", "probability": 0.93505859375}, {"start": 147.95, "end": 148.73, "word": " على", "probability": 0.80517578125}, {"start": 148.73, "end": 149.39, "word": " اتنين", "probability": 0.9625244140625}, {"start": 149.39, "end": 149.81, "word": " N", "probability": 0.94189453125}, {"start": 149.81, "end": 150.41, "word": " plus", "probability": 0.95703125}, {"start": 150.41, "end": 151.01, "word": " one", "probability": 0.9453125}, {"start": 151.01, "end": 152.07, "word": " factorial", "probability": 0.794921875}, {"start": 152.07, "end": 152.53, "word": " بهذا", "probability": 0.87353515625}, {"start": 152.53, "end": 152.93, "word": " الشكل", "probability": 0.9921875}], "temperature": 1.0}, {"id": 8, "seek": 16957, "start": 153.73, "end": 169.57, "text": "بعد ذلك استخدم الاختبار الذي تراه مناسبة، كون المثلة فيها factorial يبقى أفضل اختبار عندي اختبار ذاشه او اختبار النسبة يبقى R to سوى ال limit لما ال int tends to infinity", "tokens": [3555, 22488, 29910, 23275, 44713, 9778, 40448, 2423, 47283, 2655, 3555, 9640, 43527, 6055, 2288, 40294, 3714, 8315, 35457, 3660, 12399, 9122, 11536, 9673, 12984, 37977, 8978, 11296, 36916, 7251, 3555, 4587, 7578, 5551, 5172, 11242, 1211, 1975, 46456, 3555, 9640, 18871, 16254, 1975, 46456, 3555, 9640, 29910, 33599, 3224, 1975, 2407, 1975, 46456, 3555, 9640, 28239, 35457, 3660, 7251, 3555, 4587, 7578, 497, 281, 8608, 2407, 7578, 2423, 4948, 5296, 15042, 2423, 560, 12258, 281, 13202], "avg_logprob": -0.4010416666666667, "compression_ratio": 1.5657142857142856, "no_speech_prob": 0.0, "words": [{"start": 153.73, "end": 154.15, "word": "بعد", "probability": 0.6318359375}, {"start": 154.15, "end": 154.45, "word": " ذلك", "probability": 0.8505859375}, {"start": 154.45, "end": 155.41, "word": " استخدم", "probability": 0.6695353190104166}, {"start": 155.41, "end": 156.07, "word": " الاختبار", "probability": 0.862451171875}, {"start": 156.07, "end": 156.37, "word": " الذي", "probability": 0.4638671875}, {"start": 156.37, "end": 157.01, "word": " تراه", "probability": 0.7900390625}, {"start": 157.01, "end": 158.13, "word": " مناسبة،", "probability": 0.7283203125}, {"start": 158.13, "end": 158.59, "word": " كون", "probability": 0.61279296875}, {"start": 158.59, "end": 159.13, "word": " المثلة", "probability": 0.575927734375}, {"start": 159.13, "end": 159.49, "word": " فيها", "probability": 0.880615234375}, {"start": 159.49, "end": 160.01, "word": " factorial", "probability": 0.45849609375}, {"start": 160.01, "end": 160.39, "word": " يبقى", "probability": 0.76422119140625}, {"start": 160.39, "end": 160.75, "word": " أفضل", "probability": 0.80560302734375}, {"start": 160.75, "end": 161.21, "word": " اختبار", "probability": 0.9761962890625}, {"start": 161.21, "end": 161.69, "word": " عندي", "probability": 0.643310546875}, {"start": 161.69, "end": 162.71, "word": " اختبار", "probability": 0.9656982421875}, {"start": 162.71, "end": 163.27, "word": " ذاشه", "probability": 0.4266764322916667}, {"start": 163.27, "end": 163.53, "word": " او", "probability": 0.750244140625}, {"start": 163.53, "end": 164.05, "word": " اختبار", "probability": 0.9803466796875}, {"start": 164.05, "end": 164.75, "word": " النسبة", "probability": 0.96875}, {"start": 164.75, "end": 165.67, "word": " يبقى", "probability": 0.8980712890625}, {"start": 165.67, "end": 165.89, "word": " R", "probability": 0.1351318359375}, {"start": 165.89, "end": 166.23, "word": " to", "probability": 0.08526611328125}, {"start": 166.23, "end": 166.75, "word": " سوى", "probability": 0.75634765625}, {"start": 166.75, "end": 166.95, "word": " ال", "probability": 0.46240234375}, {"start": 166.95, "end": 167.39, "word": " limit", "probability": 0.92333984375}, {"start": 167.39, "end": 167.85, "word": " لما", "probability": 0.830810546875}, {"start": 167.85, "end": 168.03, "word": " ال", "probability": 0.94921875}, {"start": 168.03, "end": 168.43, "word": " int", "probability": 0.07208251953125}, {"start": 168.43, "end": 168.79, "word": " tends", "probability": 0.67333984375}, {"start": 168.79, "end": 168.97, "word": " to", "probability": 0.95849609375}, {"start": 168.97, "end": 169.57, "word": " infinity", "probability": 0.85888671875}], "temperature": 1.0}, {"id": 9, "seek": 18940, "start": 169.98, "end": 189.4, "text": "للحد انوني زائد واحد يبقى n plus one factorial لكل تربية تلاتة to the power n plus one على اتنين في n plus one plus one factorial تقسيم", "tokens": [1211, 1211, 24401, 16472, 11536, 1829, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 297, 1804, 472, 36916, 5296, 28820, 6055, 25513, 10632, 6055, 1211, 9307, 3660, 281, 264, 1347, 297, 1804, 472, 15844, 1975, 2655, 1863, 9957, 8978, 297, 1804, 472, 1804, 472, 36916, 6055, 4587, 3794, 32640], "avg_logprob": -0.21093750701231115, "compression_ratio": 1.4045801526717556, "no_speech_prob": 0.0, "words": [{"start": 169.98, "end": 170.86, "word": "للحد", "probability": 0.7184244791666666}, {"start": 170.86, "end": 171.54, "word": " انوني", "probability": 0.5271809895833334}, {"start": 171.54, "end": 172.14, "word": " زائد", "probability": 0.8050130208333334}, {"start": 172.14, "end": 172.68, "word": " واحد", "probability": 0.9736328125}, {"start": 172.68, "end": 173.18, "word": " يبقى", "probability": 0.939697265625}, {"start": 173.18, "end": 173.5, "word": " n", "probability": 0.359130859375}, {"start": 173.5, "end": 174.16, "word": " plus", "probability": 0.45556640625}, {"start": 174.16, "end": 174.72, "word": " one", "probability": 0.93701171875}, {"start": 174.72, "end": 175.96, "word": " factorial", "probability": 0.7626953125}, {"start": 175.96, "end": 176.7, "word": " لكل", "probability": 0.7119140625}, {"start": 176.7, "end": 177.5, "word": " تربية", "probability": 0.8404947916666666}, {"start": 177.5, "end": 178.66, "word": " تلاتة", "probability": 0.881103515625}, {"start": 178.66, "end": 178.84, "word": " to", "probability": 0.88671875}, {"start": 178.84, "end": 179.06, "word": " the", "probability": 0.9326171875}, {"start": 179.06, "end": 179.44, "word": " power", "probability": 0.81494140625}, {"start": 179.44, "end": 179.86, "word": " n", "probability": 0.626953125}, {"start": 179.86, "end": 180.42, "word": " plus", "probability": 0.9658203125}, {"start": 180.42, "end": 180.96, "word": " one", "probability": 0.95751953125}, {"start": 180.96, "end": 181.92, "word": " على", "probability": 0.449951171875}, {"start": 181.92, "end": 182.72, "word": " اتنين", "probability": 0.968017578125}, {"start": 182.72, "end": 183.02, "word": " في", "probability": 0.576171875}, {"start": 183.02, "end": 183.46, "word": " n", "probability": 0.880859375}, {"start": 183.46, "end": 184.14, "word": " plus", "probability": 0.97021484375}, {"start": 184.14, "end": 184.7, "word": " one", "probability": 0.96142578125}, {"start": 184.7, "end": 185.16, "word": " plus", "probability": 0.9697265625}, {"start": 185.16, "end": 186.26, "word": " one", "probability": 0.962890625}, {"start": 186.26, "end": 187.86, "word": " factorial", "probability": 0.88134765625}, {"start": 187.86, "end": 189.4, "word": " تقسيم", "probability": 0.9183349609375}], "temperature": 1.0}, {"id": 10, "seek": 20120, "start": 189.6, "end": 201.2, "text": "اللي هو N factorial تربية تلاتة to the power N اتنين N plus one factorial بهذا الشكل", "tokens": [6027, 20292, 31439, 426, 36916, 6055, 2288, 21292, 3660, 6055, 1211, 9307, 3660, 281, 264, 1347, 426, 1975, 2655, 1863, 9957, 426, 1804, 472, 36916, 39627, 15730, 25124, 28820], "avg_logprob": -0.26080727875232695, "compression_ratio": 1.1176470588235294, "no_speech_prob": 0.0, "words": [{"start": 189.6, "end": 190.16, "word": "اللي", "probability": 0.43414306640625}, {"start": 190.16, "end": 190.52, "word": " هو", "probability": 0.97119140625}, {"start": 190.52, "end": 190.88, "word": " N", "probability": 0.463134765625}, {"start": 190.88, "end": 192.0, "word": " factorial", "probability": 0.556640625}, {"start": 192.0, "end": 193.4, "word": " تربية", "probability": 0.654541015625}, {"start": 193.4, "end": 194.4, "word": " تلاتة", "probability": 0.852783203125}, {"start": 194.4, "end": 194.58, "word": " to", "probability": 0.87451171875}, {"start": 194.58, "end": 194.74, "word": " the", "probability": 0.923828125}, {"start": 194.74, "end": 195.24, "word": " power", "probability": 0.900390625}, {"start": 195.24, "end": 195.74, "word": " N", "probability": 0.8251953125}, {"start": 195.74, "end": 196.78, "word": " اتنين", "probability": 0.902587890625}, {"start": 196.78, "end": 197.2, "word": " N", "probability": 0.90673828125}, {"start": 197.2, "end": 197.82, "word": " plus", "probability": 0.90087890625}, {"start": 197.82, "end": 198.36, "word": " one", "probability": 0.9345703125}, {"start": 198.36, "end": 199.44, "word": " factorial", "probability": 0.71240234375}, {"start": 199.44, "end": 200.52, "word": " بهذا", "probability": 0.91748046875}, {"start": 200.52, "end": 201.2, "word": " الشكل", "probability": 0.99267578125}], "temperature": 1.0}, {"id": 11, "seek": 22993, "start": 202.53, "end": 229.93, "text": "يبقى هذه بدها تساوي ال limit لما ال N tends to infinity هذا بدالي أفك ال factorial هذا يبقى N زائد واحد في ال N factorial الآن تربيع بيصير الجثث هذا تربيع وال factorial هذا تربيع التلاتة بقدر أقول تلاتة to the power N في تلاتة نيجي على المقام", "tokens": [1829, 3555, 4587, 7578, 29538, 47525, 11296, 6055, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 23758, 47525, 6027, 1829, 5551, 5172, 4117, 2423, 36916, 23758, 7251, 3555, 4587, 7578, 426, 30767, 16373, 3215, 36764, 24401, 8978, 2423, 426, 36916, 6024, 48506, 6055, 2288, 21292, 3615, 4724, 1829, 9381, 13546, 25724, 12984, 12984, 23758, 6055, 2288, 21292, 3615, 16070, 36916, 23758, 6055, 2288, 21292, 3615, 16712, 1211, 9307, 3660, 4724, 28543, 2288, 5551, 39648, 6055, 1211, 9307, 3660, 281, 264, 1347, 426, 8978, 6055, 1211, 9307, 3660, 8717, 1829, 7435, 1829, 15844, 9673, 4587, 10943], "avg_logprob": -0.23249999955296516, "compression_ratio": 1.7523364485981308, "no_speech_prob": 0.0, "words": [{"start": 202.53, "end": 202.95, "word": "يبقى", "probability": 0.718505859375}, {"start": 202.95, "end": 203.17, "word": " هذه", "probability": 0.412841796875}, {"start": 203.17, "end": 203.57, "word": " بدها", "probability": 0.5548095703125}, {"start": 203.57, "end": 204.09, "word": " تساوي", "probability": 0.8948974609375}, {"start": 204.09, "end": 204.27, "word": " ال", "probability": 0.40087890625}, {"start": 204.27, "end": 204.67, "word": " limit", "probability": 0.73583984375}, {"start": 204.67, "end": 205.49, "word": " لما", "probability": 0.841796875}, {"start": 205.49, "end": 205.73, "word": " ال", "probability": 0.953125}, {"start": 205.73, "end": 205.95, "word": " N", "probability": 0.43310546875}, {"start": 205.95, "end": 206.37, "word": " tends", "probability": 0.4609375}, {"start": 206.37, "end": 206.65, "word": " to", "probability": 0.9560546875}, {"start": 206.65, "end": 207.29, "word": " infinity", "probability": 0.8251953125}, {"start": 207.29, "end": 208.55, "word": " هذا", "probability": 0.53759765625}, {"start": 208.55, "end": 209.21, "word": " بدالي", "probability": 0.6503499348958334}, {"start": 209.21, "end": 209.55, "word": " أفك", "probability": 0.7887369791666666}, {"start": 209.55, "end": 209.71, "word": " ال", "probability": 0.58935546875}, {"start": 209.71, "end": 210.27, "word": " factorial", "probability": 0.88134765625}, {"start": 210.27, "end": 210.83, "word": " هذا", "probability": 0.89453125}, {"start": 210.83, "end": 211.97, "word": " يبقى", "probability": 0.9610595703125}, {"start": 211.97, "end": 212.41, "word": " N", "probability": 0.8955078125}, {"start": 212.41, "end": 213.45, "word": " زائد", "probability": 0.8304036458333334}, {"start": 213.45, "end": 214.19, "word": " واحد", "probability": 0.937255859375}, {"start": 214.19, "end": 214.57, "word": " في", "probability": 0.87109375}, {"start": 214.57, "end": 214.93, "word": " ال", "probability": 0.84033203125}, {"start": 214.93, "end": 215.31, "word": " N", "probability": 0.9384765625}, {"start": 215.31, "end": 216.27, "word": " factorial", "probability": 0.78173828125}, {"start": 216.27, "end": 217.31, "word": " الآن", "probability": 0.6231689453125}, {"start": 217.31, "end": 217.87, "word": " تربيع", "probability": 0.82525634765625}, {"start": 217.87, "end": 218.33, "word": " بيصير", "probability": 0.77587890625}, {"start": 218.33, "end": 218.99, "word": " الجثث", "probability": 0.5509440104166666}, {"start": 218.99, "end": 219.21, "word": " هذا", "probability": 0.900390625}, {"start": 219.21, "end": 219.79, "word": " تربيع", "probability": 0.885498046875}, {"start": 219.79, "end": 220.09, "word": " وال", "probability": 0.49169921875}, {"start": 220.09, "end": 220.79, "word": " factorial", "probability": 0.916015625}, {"start": 220.79, "end": 221.45, "word": " هذا", "probability": 0.93212890625}, {"start": 221.45, "end": 222.27, "word": " تربيع", "probability": 0.9267578125}, {"start": 222.27, "end": 223.75, "word": " التلاتة", "probability": 0.9483642578125}, {"start": 223.75, "end": 224.19, "word": " بقدر", "probability": 0.9384765625}, {"start": 224.19, "end": 224.51, "word": " أقول", "probability": 0.877685546875}, {"start": 224.51, "end": 225.27, "word": " تلاتة", "probability": 0.9149169921875}, {"start": 225.27, "end": 225.47, "word": " to", "probability": 0.93798828125}, {"start": 225.47, "end": 225.73, "word": " the", "probability": 0.923828125}, {"start": 225.73, "end": 226.29, "word": " power", "probability": 0.90234375}, {"start": 226.29, "end": 226.91, "word": " N", "probability": 0.859375}, {"start": 226.91, "end": 227.27, "word": " في", "probability": 0.94189453125}, {"start": 227.27, "end": 228.23, "word": " تلاتة", "probability": 0.9791259765625}, {"start": 228.23, "end": 229.03, "word": " نيجي", "probability": 0.876953125}, {"start": 229.03, "end": 229.27, "word": " على", "probability": 0.92724609375}, {"start": 229.27, "end": 229.93, "word": " المقام", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 12, "seek": 25633, "start": 230.27, "end": 256.33, "text": "المقامة شبه بـ 2n زائد 2 زائد 1 يعني 2n زائد 3 يبقى لو فكته بصير 2n زائد 3 2n زائد 2 مضروب في 2n زائد 1 factorial بالشكل هذا إذا فكنا الحد النوني زائد 1", "tokens": [45340, 4587, 10943, 3660, 13412, 3555, 3224, 4724, 39184, 568, 77, 30767, 16373, 3215, 568, 30767, 16373, 3215, 502, 37495, 22653, 568, 77, 30767, 16373, 3215, 805, 7251, 3555, 4587, 7578, 45164, 6156, 4117, 47395, 4724, 9381, 13546, 568, 77, 30767, 16373, 3215, 805, 568, 77, 30767, 16373, 3215, 568, 3714, 11242, 32887, 3555, 8978, 568, 77, 30767, 16373, 3215, 502, 36916, 20666, 8592, 28820, 23758, 11933, 15730, 6156, 4117, 8315, 21542, 3215, 28239, 11536, 1829, 30767, 16373, 3215, 502], "avg_logprob": -0.19212962668619038, "compression_ratio": 1.6418918918918919, "no_speech_prob": 0.0, "words": [{"start": 230.27, "end": 231.03, "word": "المقامة", "probability": 0.57708740234375}, {"start": 231.03, "end": 231.23, "word": " شبه", "probability": 0.84619140625}, {"start": 231.23, "end": 231.49, "word": " بـ", "probability": 0.611328125}, {"start": 231.49, "end": 232.29, "word": " 2n", "probability": 0.474365234375}, {"start": 232.29, "end": 233.29, "word": " زائد", "probability": 0.5620930989583334}, {"start": 233.29, "end": 234.11, "word": " 2", "probability": 0.92919921875}, {"start": 234.11, "end": 234.99, "word": " زائد", "probability": 0.9348958333333334}, {"start": 234.99, "end": 235.33, "word": " 1", "probability": 0.97607421875}, {"start": 235.33, "end": 235.71, "word": " يعني", "probability": 0.6900634765625}, {"start": 235.71, "end": 236.85, "word": " 2n", "probability": 0.891845703125}, {"start": 236.85, "end": 237.69, "word": " زائد", "probability": 0.9044596354166666}, {"start": 237.69, "end": 238.19, "word": " 3", "probability": 0.8447265625}, {"start": 238.19, "end": 239.03, "word": " يبقى", "probability": 0.940185546875}, {"start": 239.03, "end": 239.17, "word": " لو", "probability": 0.9091796875}, {"start": 239.17, "end": 239.83, "word": " فكته", "probability": 0.8046061197916666}, {"start": 239.83, "end": 240.35, "word": " بصير", "probability": 0.88720703125}, {"start": 240.35, "end": 241.73, "word": " 2n", "probability": 0.962646484375}, {"start": 241.73, "end": 242.67, "word": " زائد", "probability": 0.9571940104166666}, {"start": 242.67, "end": 243.31, "word": " 3", "probability": 0.95751953125}, {"start": 243.31, "end": 244.75, "word": " 2n", "probability": 0.831298828125}, {"start": 244.75, "end": 245.61, "word": " زائد", "probability": 0.9763997395833334}, {"start": 245.61, "end": 246.27, "word": " 2", "probability": 0.98974609375}, {"start": 246.27, "end": 247.47, "word": " مضروب", "probability": 0.92822265625}, {"start": 247.47, "end": 247.65, "word": " في", "probability": 0.78466796875}, {"start": 247.65, "end": 248.77, "word": " 2n", "probability": 0.973388671875}, {"start": 248.77, "end": 249.77, "word": " زائد", "probability": 0.9820963541666666}, {"start": 249.77, "end": 250.37, "word": " 1", "probability": 0.9580078125}, {"start": 250.37, "end": 251.31, "word": " factorial", "probability": 0.751953125}, {"start": 251.31, "end": 251.89, "word": " بالشكل", "probability": 0.9723307291666666}, {"start": 251.89, "end": 252.23, "word": " هذا", "probability": 0.978515625}, {"start": 252.23, "end": 253.77, "word": " إذا", "probability": 0.505126953125}, {"start": 253.77, "end": 254.59, "word": " فكنا", "probability": 0.8138020833333334}, {"start": 254.59, "end": 255.23, "word": " الحد", "probability": 0.98193359375}, {"start": 255.23, "end": 255.73, "word": " النوني", "probability": 0.7604166666666666}, {"start": 255.73, "end": 256.11, "word": " زائد", "probability": 0.9306640625}, {"start": 256.11, "end": 256.33, "word": " 1", "probability": 0.74267578125}], "temperature": 1.0}, {"id": 13, "seek": 28175, "start": 256.67, "end": 281.75, "text": "الحد من اني هنشجل بو يبقى مصير مضروبا في 2n plus one factorial على مين؟ على n factorial الكل تربية في تلاتة to the power n نيجي نختصر الاختصارات تلاتة وس ان مع تلاتة وس ان هذا factor 2n زاد واحد مع 2n زاد واحد", "tokens": [6027, 5016, 3215, 9154, 16472, 1829, 8032, 1863, 8592, 7435, 1211, 4724, 2407, 7251, 3555, 4587, 7578, 3714, 9381, 13546, 3714, 11242, 32887, 3555, 995, 8978, 568, 77, 1804, 472, 36916, 15844, 3714, 9957, 22807, 15844, 297, 36916, 2423, 28820, 6055, 2288, 21292, 3660, 8978, 6055, 1211, 9307, 3660, 281, 264, 1347, 297, 8717, 1829, 7435, 1829, 8717, 46456, 9381, 2288, 2423, 47283, 2655, 9381, 9640, 9307, 6055, 1211, 9307, 3660, 46952, 16472, 20449, 6055, 1211, 9307, 3660, 46952, 16472, 23758, 5952, 568, 77, 30767, 18513, 36764, 24401, 20449, 568, 77, 30767, 18513, 36764, 24401], "avg_logprob": -0.3356119788562258, "compression_ratio": 1.6581632653061225, "no_speech_prob": 0.012115478515625, "words": [{"start": 256.67, "end": 257.31, "word": "الحد", "probability": 0.4744059244791667}, {"start": 257.31, "end": 257.53, "word": " من", "probability": 0.5947265625}, {"start": 257.53, "end": 257.81, "word": " اني", "probability": 0.323211669921875}, {"start": 257.81, "end": 258.57, "word": " هنشجل", "probability": 0.707763671875}, {"start": 258.57, "end": 258.83, "word": " بو", "probability": 0.5279541015625}, {"start": 258.83, "end": 259.57, "word": " يبقى", "probability": 0.937744140625}, {"start": 259.57, "end": 260.03, "word": " مصير", "probability": 0.86328125}, {"start": 260.03, "end": 260.87, "word": " مضروبا", "probability": 0.9208984375}, {"start": 260.87, "end": 261.11, "word": " في", "probability": 0.6650390625}, {"start": 261.11, "end": 262.01, "word": " 2n", "probability": 0.681396484375}, {"start": 262.01, "end": 262.65, "word": " plus", "probability": 0.1943359375}, {"start": 262.65, "end": 263.13, "word": " one", "probability": 0.460205078125}, {"start": 263.13, "end": 264.13, "word": " factorial", "probability": 0.69189453125}, {"start": 264.13, "end": 265.09, "word": " على", "probability": 0.7265625}, {"start": 265.09, "end": 265.91, "word": " مين؟", "probability": 0.5922037760416666}, {"start": 265.91, "end": 266.27, "word": " على", "probability": 0.84765625}, {"start": 266.27, "end": 266.79, "word": " n", "probability": 0.873046875}, {"start": 266.79, "end": 267.77, "word": " factorial", "probability": 0.8330078125}, {"start": 267.77, "end": 268.37, "word": " الكل", "probability": 0.6834716796875}, {"start": 268.37, "end": 269.13, "word": " تربية", "probability": 0.7135009765625}, {"start": 269.13, "end": 269.69, "word": " في", "probability": 0.8994140625}, {"start": 269.69, "end": 270.55, "word": " تلاتة", "probability": 0.9073486328125}, {"start": 270.55, "end": 270.77, "word": " to", "probability": 0.943359375}, {"start": 270.77, "end": 270.95, "word": " the", "probability": 0.92578125}, {"start": 270.95, "end": 271.49, "word": " power", "probability": 0.8876953125}, {"start": 271.49, "end": 271.95, "word": " n", "probability": 0.478515625}, {"start": 271.95, "end": 272.81, "word": " نيجي", "probability": 0.7940673828125}, {"start": 272.81, "end": 273.45, "word": " نختصر", "probability": 0.965576171875}, {"start": 273.45, "end": 274.43, "word": " الاختصارات", "probability": 0.88134765625}, {"start": 274.43, "end": 275.27, "word": " تلاتة", "probability": 0.90771484375}, {"start": 275.27, "end": 275.51, "word": " وس", "probability": 0.35595703125}, {"start": 275.51, "end": 275.87, "word": " ان", "probability": 0.416748046875}, {"start": 275.87, "end": 276.19, "word": " مع", "probability": 0.98388671875}, {"start": 276.19, "end": 276.73, "word": " تلاتة", "probability": 0.9888916015625}, {"start": 276.73, "end": 276.99, "word": " وس", "probability": 0.85888671875}, {"start": 276.99, "end": 277.33, "word": " ان", "probability": 0.65478515625}, {"start": 277.33, "end": 278.15, "word": " هذا", "probability": 0.82763671875}, {"start": 278.15, "end": 278.59, "word": " factor", "probability": 0.387451171875}, {"start": 278.59, "end": 279.33, "word": " 2n", "probability": 0.5836181640625}, {"start": 279.33, "end": 279.71, "word": " زاد", "probability": 0.444091796875}, {"start": 279.71, "end": 280.05, "word": " واحد", "probability": 0.915283203125}, {"start": 280.05, "end": 280.27, "word": " مع", "probability": 0.98291015625}, {"start": 280.27, "end": 280.95, "word": " 2n", "probability": 0.850830078125}, {"start": 280.95, "end": 281.31, "word": " زاد", "probability": 0.95458984375}, {"start": 281.31, "end": 281.75, "word": " واحد", "probability": 0.989501953125}], "temperature": 1.0}, {"id": 14, "seek": 30179, "start": 286.75, "end": 301.79, "text": "بنجي للجث هذا، هذا يا شباب الجث بقدر اكتب 2 في N زائد 1 يبقى N زائد 1 بتروح مع مين؟ مع التربيع اللي عندها، يبقى قامة المسأ مائلة", "tokens": [3555, 1863, 7435, 1829, 24976, 7435, 12984, 23758, 12399, 23758, 35186, 13412, 3555, 16758, 25724, 12984, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 568, 8978, 426, 30767, 16373, 3215, 502, 7251, 3555, 4587, 7578, 426, 30767, 16373, 3215, 502, 39894, 32887, 5016, 20449, 3714, 9957, 22807, 20449, 16712, 2288, 21292, 3615, 13672, 1829, 43242, 11296, 12399, 7251, 3555, 4587, 7578, 12174, 10943, 3660, 9673, 3794, 10721, 3714, 16373, 37977], "avg_logprob": -0.24866072109767368, "compression_ratio": 1.5594405594405594, "no_speech_prob": 0.0, "words": [{"start": 286.75, "end": 287.71, "word": "بنجي", "probability": 0.6331787109375}, {"start": 287.71, "end": 288.23, "word": " للجث", "probability": 0.82080078125}, {"start": 288.23, "end": 288.75, "word": " هذا،", "probability": 0.3511962890625}, {"start": 288.75, "end": 289.09, "word": " هذا", "probability": 0.580078125}, {"start": 289.09, "end": 289.31, "word": " يا", "probability": 0.50537109375}, {"start": 289.31, "end": 289.45, "word": " شباب", "probability": 0.9794921875}, {"start": 289.45, "end": 289.81, "word": " الجث", "probability": 0.943115234375}, {"start": 289.81, "end": 290.27, "word": " بقدر", "probability": 0.8870442708333334}, {"start": 290.27, "end": 290.95, "word": " اكتب", "probability": 0.90966796875}, {"start": 290.95, "end": 291.73, "word": " 2", "probability": 0.56884765625}, {"start": 291.73, "end": 292.23, "word": " في", "probability": 0.49755859375}, {"start": 292.23, "end": 292.73, "word": " N", "probability": 0.51708984375}, {"start": 292.73, "end": 293.55, "word": " زائد", "probability": 0.75537109375}, {"start": 293.55, "end": 293.85, "word": " 1", "probability": 0.93798828125}, {"start": 293.85, "end": 295.21, "word": " يبقى", "probability": 0.8492431640625}, {"start": 295.21, "end": 295.57, "word": " N", "probability": 0.90673828125}, {"start": 295.57, "end": 296.23, "word": " زائد", "probability": 0.9474283854166666}, {"start": 296.23, "end": 296.55, "word": " 1", "probability": 0.77490234375}, {"start": 296.55, "end": 297.07, "word": " بتروح", "probability": 0.9427083333333334}, {"start": 297.07, "end": 297.25, "word": " مع", "probability": 0.99072265625}, {"start": 297.25, "end": 298.07, "word": " مين؟", "probability": 0.8313802083333334}, {"start": 298.07, "end": 298.31, "word": " مع", "probability": 0.94580078125}, {"start": 298.31, "end": 298.99, "word": " التربيع", "probability": 0.764892578125}, {"start": 298.99, "end": 299.35, "word": " اللي", "probability": 0.878662109375}, {"start": 299.35, "end": 299.61, "word": " عندها،", "probability": 0.736328125}, {"start": 299.61, "end": 299.93, "word": " يبقى", "probability": 0.9913330078125}, {"start": 299.93, "end": 300.43, "word": " قامة", "probability": 0.7166341145833334}, {"start": 300.43, "end": 301.17, "word": " المسأ", "probability": 0.6695963541666666}, {"start": 301.17, "end": 301.79, "word": " مائلة", "probability": 0.8759765625}], "temperature": 1.0}, {"id": 15, "seek": 33135, "start": 302.41, "end": 331.35, "text": "تلاتة مقدار ثابت واتنين مقدار ثابت خلّيكوا برا هاي تلاتة تبعت ال bus واتنين تبعت المقام وهذا ال limit لما ال N tends to infinity ال bus ضايل فيه بس N زائد واحد مافيش غيره والمقام ضايل فيه اتنين N زائد تلاتة يبقى على اتنين N زائد تلاتة يبقى هذا الكلام بدي يسوي تلاتة على اتنين", "tokens": [2655, 1211, 9307, 3660, 3714, 28543, 9640, 38637, 16758, 2655, 4032, 9307, 1863, 9957, 3714, 28543, 9640, 38637, 16758, 2655, 16490, 1211, 11703, 1829, 4117, 14407, 4724, 23557, 8032, 47302, 6055, 1211, 9307, 3660, 6055, 3555, 34268, 2423, 1255, 4032, 9307, 1863, 9957, 6055, 3555, 34268, 9673, 4587, 10943, 37037, 15730, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 2423, 1255, 48812, 995, 26895, 8978, 3224, 4724, 3794, 426, 30767, 16373, 3215, 36764, 24401, 19446, 41185, 8592, 32771, 13546, 3224, 4032, 45340, 4587, 10943, 48812, 995, 26895, 8978, 3224, 1975, 2655, 1863, 9957, 426, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 15844, 1975, 2655, 1863, 9957, 426, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 4724, 16254, 7251, 3794, 45865, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.16703345668567737, "compression_ratio": 2.183098591549296, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 302.41, "end": 303.17, "word": "تلاتة", "probability": 0.82177734375}, {"start": 303.17, "end": 303.79, "word": " مقدار", "probability": 0.90087890625}, {"start": 303.79, "end": 304.41, "word": " ثابت", "probability": 0.9928385416666666}, {"start": 304.41, "end": 305.19, "word": " واتنين", "probability": 0.7330322265625}, {"start": 305.19, "end": 305.67, "word": " مقدار", "probability": 0.95947265625}, {"start": 305.67, "end": 306.01, "word": " ثابت", "probability": 0.9923502604166666}, {"start": 306.01, "end": 306.55, "word": " خلّيكوا", "probability": 0.6907145182291666}, {"start": 306.55, "end": 306.89, "word": " برا", "probability": 0.907470703125}, {"start": 306.89, "end": 307.45, "word": " هاي", "probability": 0.298980712890625}, {"start": 307.45, "end": 307.91, "word": " تلاتة", "probability": 0.876708984375}, {"start": 307.91, "end": 308.23, "word": " تبعت", "probability": 0.8050130208333334}, {"start": 308.23, "end": 308.41, "word": " ال", "probability": 0.78173828125}, {"start": 308.41, "end": 308.61, "word": " bus", "probability": 0.8369140625}, {"start": 308.61, "end": 309.53, "word": " واتنين", "probability": 0.8878173828125}, {"start": 309.53, "end": 309.97, "word": " تبعت", "probability": 0.9856770833333334}, {"start": 309.97, "end": 310.75, "word": " المقام", "probability": 0.9850260416666666}, {"start": 310.75, "end": 311.71, "word": " وهذا", "probability": 0.775390625}, {"start": 311.71, "end": 311.87, "word": " ال", "probability": 0.6318359375}, {"start": 311.87, "end": 312.27, "word": " limit", "probability": 0.85546875}, {"start": 312.27, "end": 312.73, "word": " لما", "probability": 0.848876953125}, {"start": 312.73, "end": 312.97, "word": " ال", "probability": 0.9765625}, {"start": 312.97, "end": 313.27, "word": " N", "probability": 0.304443359375}, {"start": 313.27, "end": 313.61, "word": " tends", "probability": 0.68310546875}, {"start": 313.61, "end": 313.83, "word": " to", "probability": 0.943359375}, {"start": 313.83, "end": 314.41, "word": " infinity", "probability": 0.7900390625}, {"start": 314.41, "end": 315.05, "word": " ال", "probability": 0.853515625}, {"start": 315.05, "end": 315.33, "word": " bus", "probability": 0.9130859375}, {"start": 315.33, "end": 315.81, "word": " ضايل", "probability": 0.8131510416666666}, {"start": 315.81, "end": 316.15, "word": " فيه", "probability": 0.815673828125}, {"start": 316.15, "end": 316.61, "word": " بس", "probability": 0.9267578125}, {"start": 316.61, "end": 317.27, "word": " N", "probability": 0.80224609375}, {"start": 317.27, "end": 317.87, "word": " زائد", "probability": 0.86376953125}, {"start": 317.87, "end": 318.31, "word": " واحد", "probability": 0.90771484375}, {"start": 318.31, "end": 318.77, "word": " مافيش", "probability": 0.8225911458333334}, {"start": 318.77, "end": 319.15, "word": " غيره", "probability": 0.9952799479166666}, {"start": 319.15, "end": 320.51, "word": " والمقام", "probability": 0.8271484375}, {"start": 320.51, "end": 320.87, "word": " ضايل", "probability": 0.96435546875}, {"start": 320.87, "end": 321.21, "word": " فيه", "probability": 0.977783203125}, {"start": 321.21, "end": 321.95, "word": " اتنين", "probability": 0.947998046875}, {"start": 321.95, "end": 322.37, "word": " N", "probability": 0.974609375}, {"start": 322.37, "end": 322.99, "word": " زائد", "probability": 0.9674479166666666}, {"start": 322.99, "end": 323.63, "word": " تلاتة", "probability": 0.956298828125}, {"start": 323.63, "end": 324.15, "word": " يبقى", "probability": 0.896728515625}, {"start": 324.15, "end": 324.49, "word": " على", "probability": 0.84326171875}, {"start": 324.49, "end": 325.17, "word": " اتنين", "probability": 0.9693603515625}, {"start": 325.17, "end": 325.69, "word": " N", "probability": 0.9755859375}, {"start": 325.69, "end": 326.95, "word": " زائد", "probability": 0.9733072916666666}, {"start": 326.95, "end": 327.67, "word": " تلاتة", "probability": 0.9716796875}, {"start": 327.67, "end": 328.39, "word": " يبقى", "probability": 0.9349365234375}, {"start": 328.39, "end": 328.67, "word": " هذا", "probability": 0.9716796875}, {"start": 328.67, "end": 329.19, "word": " الكلام", "probability": 0.9635416666666666}, {"start": 329.19, "end": 329.53, "word": " بدي", "probability": 0.5736083984375}, {"start": 329.53, "end": 330.03, "word": " يسوي", "probability": 0.6094563802083334}, {"start": 330.03, "end": 330.69, "word": " تلاتة", "probability": 0.9652099609375}, {"start": 330.69, "end": 330.91, "word": " على", "probability": 0.87451171875}, {"start": 330.91, "end": 331.35, "word": " اتنين", "probability": 0.9847412109375}], "temperature": 1.0}, {"id": 16, "seek": 35955, "start": 332.13, "end": 359.55, "text": "باللغة الرول النتيجة تستخدم كم هنا نص يبقى تلاتة على اتنين في نص يبقى النتيجة تلات تربع تلات تربع ما لها اقل من الواحد الصحيح يبقى بال ratio test the series of absolute values converged بروح بقوله by the ratio test", "tokens": [3555, 6027, 1211, 17082, 3660, 34892, 12610, 28239, 31371, 7435, 3660, 6055, 14851, 9778, 40448, 9122, 2304, 34105, 8717, 9381, 7251, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 8978, 8717, 9381, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 6055, 1211, 9307, 6055, 25513, 3615, 6055, 1211, 9307, 6055, 25513, 3615, 19446, 5296, 11296, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 20666, 8509, 1500, 264, 2638, 295, 8236, 4190, 9652, 3004, 4724, 32887, 5016, 4724, 39648, 3224, 538, 264, 8509, 1500], "avg_logprob": -0.19226974248886108, "compression_ratio": 1.6633165829145728, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 332.13, "end": 332.83, "word": "باللغة", "probability": 0.757421875}, {"start": 332.83, "end": 333.43, "word": " الرول", "probability": 0.47509765625}, {"start": 333.43, "end": 334.33, "word": " النتيجة", "probability": 0.8839111328125}, {"start": 334.33, "end": 334.75, "word": " تستخدم", "probability": 0.69879150390625}, {"start": 334.75, "end": 334.97, "word": " كم", "probability": 0.594482421875}, {"start": 334.97, "end": 335.55, "word": " هنا", "probability": 0.630859375}, {"start": 335.55, "end": 336.67, "word": " نص", "probability": 0.777587890625}, {"start": 336.67, "end": 337.13, "word": " يبقى", "probability": 0.9049072265625}, {"start": 337.13, "end": 337.67, "word": " تلاتة", "probability": 0.8939208984375}, {"start": 337.67, "end": 337.91, "word": " على", "probability": 0.66455078125}, {"start": 337.91, "end": 338.49, "word": " اتنين", "probability": 0.9639892578125}, {"start": 338.49, "end": 338.79, "word": " في", "probability": 0.91357421875}, {"start": 338.79, "end": 339.31, "word": " نص", "probability": 0.992919921875}, {"start": 339.31, "end": 340.13, "word": " يبقى", "probability": 0.9552001953125}, {"start": 340.13, "end": 340.93, "word": " النتيجة", "probability": 0.931396484375}, {"start": 340.93, "end": 341.59, "word": " تلات", "probability": 0.84716796875}, {"start": 341.59, "end": 342.09, "word": " تربع", "probability": 0.79296875}, {"start": 342.09, "end": 342.93, "word": " تلات", "probability": 0.94189453125}, {"start": 342.93, "end": 343.29, "word": " تربع", "probability": 0.9908854166666666}, {"start": 343.29, "end": 343.53, "word": " ما", "probability": 0.77392578125}, {"start": 343.53, "end": 343.97, "word": " لها", "probability": 0.63525390625}, {"start": 343.97, "end": 345.23, "word": " اقل", "probability": 0.9361979166666666}, {"start": 345.23, "end": 345.47, "word": " من", "probability": 0.99267578125}, {"start": 345.47, "end": 346.23, "word": " الواحد", "probability": 0.9736328125}, {"start": 346.23, "end": 347.01, "word": " الصحيح", "probability": 0.903076171875}, {"start": 347.01, "end": 347.85, "word": " يبقى", "probability": 0.975341796875}, {"start": 347.85, "end": 348.11, "word": " بال", "probability": 0.890625}, {"start": 348.11, "end": 348.61, "word": " ratio", "probability": 0.94580078125}, {"start": 348.61, "end": 349.35, "word": " test", "probability": 0.89453125}, {"start": 349.35, "end": 349.61, "word": " the", "probability": 0.54931640625}, {"start": 349.61, "end": 350.09, "word": " series", "probability": 0.90234375}, {"start": 350.09, "end": 350.47, "word": " of", "probability": 0.9775390625}, {"start": 350.47, "end": 351.19, "word": " absolute", "probability": 0.92578125}, {"start": 351.19, "end": 352.01, "word": " values", "probability": 0.9208984375}, {"start": 352.01, "end": 353.39, "word": " converged", "probability": 0.6385498046875}, {"start": 353.39, "end": 354.01, "word": " بروح", "probability": 0.9558919270833334}, {"start": 354.01, "end": 354.73, "word": " بقوله", "probability": 0.8518880208333334}, {"start": 354.73, "end": 355.25, "word": " by", "probability": 0.59326171875}, {"start": 355.25, "end": 356.35, "word": " the", "probability": 0.83349609375}, {"start": 356.35, "end": 358.03, "word": " ratio", "probability": 0.97900390625}, {"start": 358.03, "end": 359.55, "word": " test", "probability": 0.92041015625}], "temperature": 1.0}, {"id": 17, "seek": 37269, "start": 360.67, "end": 372.69, "text": "the series of absolute values converged", "tokens": [3322, 2638, 295, 8236, 4190, 9652, 3004], "avg_logprob": -0.5839843899011612, "compression_ratio": 0.8478260869565217, "no_speech_prob": 0.0, "words": [{"start": 360.67, "end": 361.03, "word": "the", "probability": 0.23193359375}, {"start": 361.03, "end": 361.69, "word": " series", "probability": 0.888671875}, {"start": 361.69, "end": 364.87, "word": " of", "probability": 0.97265625}, {"start": 364.87, "end": 366.41, "word": " absolute", "probability": 0.9189453125}, {"start": 366.41, "end": 368.55, "word": " values", "probability": 0.9482421875}, {"start": 368.55, "end": 372.69, "word": " converged", "probability": 0.4957275390625}], "temperature": 1.0}, {"id": 18, "seek": 40874, "start": 383.5, "end": 408.74, "text": "اللي هي من summation من N equal one to infinity لسالب واحد to the power N لل N factorial square فى تلاتة to the power N على اتنين N plus one factorial مالها converge absolutely", "tokens": [6027, 20292, 39896, 9154, 28811, 9154, 426, 2681, 472, 281, 13202, 5296, 3794, 6027, 3555, 36764, 24401, 281, 264, 1347, 426, 24976, 426, 36916, 3732, 6156, 7578, 6055, 1211, 9307, 3660, 281, 264, 1347, 426, 15844, 1975, 2655, 1863, 9957, 426, 1804, 472, 36916, 3714, 6027, 11296, 41881, 3122], "avg_logprob": -0.2198437437415123, "compression_ratio": 1.3395061728395061, "no_speech_prob": 0.0, "words": [{"start": 383.5, "end": 383.98, "word": "اللي", "probability": 0.701171875}, {"start": 383.98, "end": 384.18, "word": " هي", "probability": 0.84912109375}, {"start": 384.18, "end": 384.48, "word": " من", "probability": 0.34375}, {"start": 384.48, "end": 385.62, "word": " summation", "probability": 0.354248046875}, {"start": 385.62, "end": 386.5, "word": " من", "probability": 0.9755859375}, {"start": 386.5, "end": 386.84, "word": " N", "probability": 0.3583984375}, {"start": 386.84, "end": 387.34, "word": " equal", "probability": 0.21533203125}, {"start": 387.34, "end": 387.74, "word": " one", "probability": 0.81005859375}, {"start": 387.74, "end": 388.02, "word": " to", "probability": 0.96435546875}, {"start": 388.02, "end": 388.8, "word": " infinity", "probability": 0.85400390625}, {"start": 388.8, "end": 390.2, "word": " لسالب", "probability": 0.75146484375}, {"start": 390.2, "end": 390.72, "word": " واحد", "probability": 0.97705078125}, {"start": 390.72, "end": 390.98, "word": " to", "probability": 0.96435546875}, {"start": 390.98, "end": 391.24, "word": " the", "probability": 0.9248046875}, {"start": 391.24, "end": 391.88, "word": " power", "probability": 0.8984375}, {"start": 391.88, "end": 392.44, "word": " N", "probability": 0.865234375}, {"start": 392.44, "end": 393.22, "word": " لل", "probability": 0.904296875}, {"start": 393.22, "end": 393.7, "word": " N", "probability": 0.72607421875}, {"start": 393.7, "end": 394.5, "word": " factorial", "probability": 0.84228515625}, {"start": 394.5, "end": 395.36, "word": " square", "probability": 0.6162109375}, {"start": 395.36, "end": 396.46, "word": " فى", "probability": 0.741455078125}, {"start": 396.46, "end": 397.28, "word": " تلاتة", "probability": 0.906982421875}, {"start": 397.28, "end": 397.52, "word": " to", "probability": 0.97900390625}, {"start": 397.52, "end": 397.8, "word": " the", "probability": 0.9326171875}, {"start": 397.8, "end": 398.4, "word": " power", "probability": 0.8828125}, {"start": 398.4, "end": 399.06, "word": " N", "probability": 0.9541015625}, {"start": 399.06, "end": 399.84, "word": " على", "probability": 0.767578125}, {"start": 399.84, "end": 400.56, "word": " اتنين", "probability": 0.9658203125}, {"start": 400.56, "end": 401.0, "word": " N", "probability": 0.943359375}, {"start": 401.0, "end": 401.64, "word": " plus", "probability": 0.9384765625}, {"start": 401.64, "end": 402.22, "word": " one", "probability": 0.94384765625}, {"start": 402.22, "end": 403.28, "word": " factorial", "probability": 0.81640625}, {"start": 403.28, "end": 404.4, "word": " مالها", "probability": 0.792236328125}, {"start": 404.4, "end": 406.18, "word": " converge", "probability": 0.7763671875}, {"start": 406.18, "end": 408.74, "word": " absolutely", "probability": 0.74755859375}], "temperature": 1.0}, {"id": 19, "seek": 42843, "start": 415.97, "end": 428.43, "text": "طيب السؤال التاسع مثال رقم تسعة بيقول لي summation summation من وين؟ من N", "tokens": [9566, 1829, 3555, 21136, 33604, 6027, 16712, 32277, 3615, 50113, 6027, 12602, 4587, 2304, 6055, 3794, 27884, 4724, 1829, 39648, 32239, 28811, 28811, 9154, 4032, 9957, 22807, 9154, 426], "avg_logprob": -0.2794270833333333, "compression_ratio": 1.2, "no_speech_prob": 0.0, "words": [{"start": 415.97, "end": 416.29, "word": "طيب", "probability": 0.6483561197916666}, {"start": 416.29, "end": 416.73, "word": " السؤال", "probability": 0.9462890625}, {"start": 416.73, "end": 417.53, "word": " التاسع", "probability": 0.9855143229166666}, {"start": 417.53, "end": 421.19, "word": " مثال", "probability": 0.94873046875}, {"start": 421.19, "end": 421.65, "word": " رقم", "probability": 0.9886067708333334}, {"start": 421.65, "end": 422.13, "word": " تسعة", "probability": 0.93505859375}, {"start": 422.13, "end": 422.59, "word": " بيقول", "probability": 0.9090169270833334}, {"start": 422.59, "end": 422.79, "word": " لي", "probability": 0.45947265625}, {"start": 422.79, "end": 423.39, "word": " summation", "probability": 0.5966796875}, {"start": 423.39, "end": 426.25, "word": " summation", "probability": 0.22265625}, {"start": 426.25, "end": 426.77, "word": " من", "probability": 0.97705078125}, {"start": 426.77, "end": 427.71, "word": " وين؟", "probability": 0.75439453125}, {"start": 427.71, "end": 427.95, "word": " من", "probability": 0.9765625}, {"start": 427.95, "end": 428.43, "word": " N", "probability": 0.3125}], "temperature": 1.0}, {"id": 20, "seek": 45810, "start": 428.72, "end": 458.1, "text": "equal one to infinity لمن؟ لسالب واحد to the power N لsquare root لل N plus ال square root لل N ناقص ال square root لل N إذن احنا بدنا ناخد series of absolute values", "tokens": [12816, 304, 472, 281, 13202, 5296, 27842, 22807, 5296, 3794, 6027, 3555, 36764, 24401, 281, 264, 1347, 426, 5296, 33292, 543, 5593, 24976, 426, 1804, 2423, 3732, 5593, 24976, 426, 8717, 995, 4587, 9381, 2423, 3732, 5593, 24976, 426, 11933, 8848, 1863, 1975, 5016, 8315, 47525, 8315, 8717, 47283, 3215, 2638, 295, 8236, 4190], "avg_logprob": -0.36960226730866863, "compression_ratio": 1.4444444444444444, "no_speech_prob": 0.0, "words": [{"start": 428.72, "end": 429.56, "word": "equal", "probability": 0.4935417175292969}, {"start": 429.56, "end": 429.96, "word": " one", "probability": 0.7421875}, {"start": 429.96, "end": 430.4, "word": " to", "probability": 0.9208984375}, {"start": 430.4, "end": 431.46, "word": " infinity", "probability": 0.8564453125}, {"start": 431.46, "end": 433.04, "word": " لمن؟", "probability": 0.6280110677083334}, {"start": 433.04, "end": 433.96, "word": " لسالب", "probability": 0.734832763671875}, {"start": 433.96, "end": 434.5, "word": " واحد", "probability": 0.9892578125}, {"start": 434.5, "end": 434.76, "word": " to", "probability": 0.93896484375}, {"start": 434.76, "end": 435.0, "word": " the", "probability": 0.904296875}, {"start": 435.0, "end": 435.58, "word": " power", "probability": 0.8935546875}, {"start": 435.58, "end": 436.14, "word": " N", "probability": 0.433837890625}, {"start": 436.14, "end": 437.7, "word": " لsquare", "probability": 0.5203450520833334}, {"start": 437.7, "end": 438.6, "word": " root", "probability": 0.91748046875}, {"start": 438.6, "end": 439.4, "word": " لل", "probability": 0.49169921875}, {"start": 439.4, "end": 439.82, "word": " N", "probability": 0.41064453125}, {"start": 439.82, "end": 440.38, "word": " plus", "probability": 0.79833984375}, {"start": 440.38, "end": 440.68, "word": " ال", "probability": 0.473876953125}, {"start": 440.68, "end": 441.14, "word": " square", "probability": 0.68310546875}, {"start": 441.14, "end": 441.74, "word": " root", "probability": 0.9443359375}, {"start": 441.74, "end": 442.1, "word": " لل", "probability": 0.9287109375}, {"start": 442.1, "end": 442.76, "word": " N", "probability": 0.94384765625}, {"start": 442.76, "end": 444.3, "word": " ناقص", "probability": 0.90185546875}, {"start": 444.3, "end": 444.54, "word": " ال", "probability": 0.916015625}, {"start": 444.54, "end": 445.0, "word": " square", "probability": 0.8701171875}, {"start": 445.0, "end": 445.82, "word": " root", "probability": 0.93701171875}, {"start": 445.82, "end": 446.44, "word": " لل", "probability": 0.9609375}, {"start": 446.44, "end": 447.5, "word": " N", "probability": 0.9560546875}, {"start": 447.5, "end": 454.06, "word": " إذن", "probability": 0.591796875}, {"start": 454.06, "end": 454.36, "word": " احنا", "probability": 0.7999674479166666}, {"start": 454.36, "end": 454.64, "word": " بدنا", "probability": 0.5335693359375}, {"start": 454.64, "end": 455.08, "word": " ناخد", "probability": 0.9861653645833334}, {"start": 455.08, "end": 455.78, "word": " series", "probability": 0.409423828125}, {"start": 455.78, "end": 456.46, "word": " of", "probability": 0.97119140625}, {"start": 456.46, "end": 457.34, "word": " absolute", "probability": 0.93505859375}, {"start": 457.34, "end": 458.1, "word": " values", "probability": 0.724609375}], "temperature": 1.0}, {"id": 21, "seek": 48662, "start": 458.76, "end": 486.62, "text": "فبجي بقوله هنا the series of absolute values is summation لجذر التربية ل N زائد جذر ال N ناقص جذر ال N من عند ال N equal one to infinity", "tokens": [5172, 3555, 7435, 1829, 4724, 39648, 3224, 34105, 264, 2638, 295, 8236, 4190, 307, 28811, 5296, 7435, 8848, 2288, 16712, 25513, 10632, 5296, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 8717, 995, 4587, 9381, 10874, 8848, 2288, 2423, 426, 9154, 43242, 2423, 426, 2681, 472, 281, 13202], "avg_logprob": -0.23875000298023225, "compression_ratio": 1.2847222222222223, "no_speech_prob": 0.0, "words": [{"start": 458.76, "end": 459.38, "word": "فبجي", "probability": 0.50286865234375}, {"start": 459.38, "end": 459.96, "word": " بقوله", "probability": 0.86669921875}, {"start": 459.96, "end": 460.7, "word": " هنا", "probability": 0.982421875}, {"start": 460.7, "end": 461.68, "word": " the", "probability": 0.367431640625}, {"start": 461.68, "end": 462.86, "word": " series", "probability": 0.900390625}, {"start": 462.86, "end": 465.58, "word": " of", "probability": 0.96875}, {"start": 465.58, "end": 467.42, "word": " absolute", "probability": 0.93115234375}, {"start": 467.42, "end": 469.76, "word": " values", "probability": 0.9541015625}, {"start": 469.76, "end": 472.16, "word": " is", "probability": 0.828125}, {"start": 472.16, "end": 473.64, "word": " summation", "probability": 0.77685546875}, {"start": 473.64, "end": 475.58, "word": " لجذر", "probability": 0.723388671875}, {"start": 475.58, "end": 476.24, "word": " التربية", "probability": 0.8201497395833334}, {"start": 476.24, "end": 476.54, "word": " ل", "probability": 0.380126953125}, {"start": 476.54, "end": 476.92, "word": " N", "probability": 0.51904296875}, {"start": 476.92, "end": 477.82, "word": " زائد", "probability": 0.8243815104166666}, {"start": 477.82, "end": 478.28, "word": " جذر", "probability": 0.9778645833333334}, {"start": 478.28, "end": 478.56, "word": " ال", "probability": 0.7822265625}, {"start": 478.56, "end": 478.86, "word": " N", "probability": 0.9423828125}, {"start": 478.86, "end": 480.32, "word": " ناقص", "probability": 0.9835205078125}, {"start": 480.32, "end": 481.04, "word": " جذر", "probability": 0.9890950520833334}, {"start": 481.04, "end": 481.4, "word": " ال", "probability": 0.9609375}, {"start": 481.4, "end": 481.94, "word": " N", "probability": 0.9892578125}, {"start": 481.94, "end": 483.16, "word": " من", "probability": 0.86669921875}, {"start": 483.16, "end": 483.48, "word": " عند", "probability": 0.98974609375}, {"start": 483.48, "end": 483.7, "word": " ال", "probability": 0.97607421875}, {"start": 483.7, "end": 484.02, "word": " N", "probability": 0.9794921875}, {"start": 484.02, "end": 484.7, "word": " equal", "probability": 0.6318359375}, {"start": 484.7, "end": 485.48, "word": " one", "probability": 0.70361328125}, {"start": 485.48, "end": 486.0, "word": " to", "probability": 0.9658203125}, {"start": 486.0, "end": 486.62, "word": " infinity", "probability": 0.8662109375}], "temperature": 1.0}, {"id": 22, "seek": 50712, "start": 488.66, "end": 507.12, "text": "أظن ان لو جيت اخد ال limit مباشرة بيصير infinity ناقص انفنتي بنعرفاش هذه يبقى كمية غير معينة لكن كونها فيها جذور اتعلمنا من الثانوية وفي calculus ا احط المسألة في شكل جديد", "tokens": [10721, 19913, 1863, 16472, 45164, 10874, 36081, 1975, 9778, 3215, 2423, 4948, 3714, 3555, 33599, 25720, 4724, 1829, 9381, 13546, 13202, 8717, 995, 4587, 9381, 16472, 5172, 29399, 1829, 44945, 3615, 28480, 33599, 29538, 7251, 3555, 4587, 7578, 9122, 2304, 10632, 32771, 13546, 20449, 9957, 3660, 44381, 9122, 11536, 11296, 8978, 11296, 10874, 8848, 13063, 1975, 2655, 3615, 19528, 8315, 9154, 6024, 104, 7649, 2407, 10632, 4032, 41185, 33400, 1975, 1975, 5016, 9566, 9673, 3794, 10721, 37977, 8978, 13412, 28820, 10874, 16254, 3215], "avg_logprob": -0.28180803039244245, "compression_ratio": 1.467005076142132, "no_speech_prob": 0.0, "words": [{"start": 488.66, "end": 489.1, "word": "أظن", "probability": 0.802734375}, {"start": 489.1, "end": 489.2, "word": " ان", "probability": 0.324462890625}, {"start": 489.2, "end": 489.52, "word": " لو", "probability": 0.11895751953125}, {"start": 489.52, "end": 489.8, "word": " جيت", "probability": 0.69873046875}, {"start": 489.8, "end": 490.14, "word": " اخد", "probability": 0.577392578125}, {"start": 490.14, "end": 490.28, "word": " ال", "probability": 0.2032470703125}, {"start": 490.28, "end": 490.62, "word": " limit", "probability": 0.413818359375}, {"start": 490.62, "end": 491.82, "word": " مباشرة", "probability": 0.9727783203125}, {"start": 491.82, "end": 492.88, "word": " بيصير", "probability": 0.71746826171875}, {"start": 492.88, "end": 493.5, "word": " infinity", "probability": 0.6064453125}, {"start": 493.5, "end": 494.34, "word": " ناقص", "probability": 0.963623046875}, {"start": 494.34, "end": 495.42, "word": " انفنتي", "probability": 0.5091552734375}, {"start": 495.42, "end": 496.26, "word": " بنعرفاش", "probability": 0.74371337890625}, {"start": 496.26, "end": 496.6, "word": " هذه", "probability": 0.384033203125}, {"start": 496.6, "end": 497.56, "word": " يبقى", "probability": 0.8702392578125}, {"start": 497.56, "end": 498.08, "word": " كمية", "probability": 0.9913736979166666}, {"start": 498.08, "end": 498.54, "word": " غير", "probability": 0.98876953125}, {"start": 498.54, "end": 499.14, "word": " معينة", "probability": 0.9830729166666666}, {"start": 499.14, "end": 499.6, "word": " لكن", "probability": 0.744140625}, {"start": 499.6, "end": 500.58, "word": " كونها", "probability": 0.7137858072916666}, {"start": 500.58, "end": 500.88, "word": " فيها", "probability": 0.98583984375}, {"start": 500.88, "end": 501.26, "word": " جذور", "probability": 0.95703125}, {"start": 501.26, "end": 501.96, "word": " اتعلمنا", "probability": 0.96923828125}, {"start": 501.96, "end": 502.14, "word": " من", "probability": 0.98388671875}, {"start": 502.14, "end": 502.86, "word": " الثانوية", "probability": 0.9279296875}, {"start": 502.86, "end": 503.16, "word": " وفي", "probability": 0.686767578125}, {"start": 503.16, "end": 503.64, "word": " calculus", "probability": 0.89453125}, {"start": 503.64, "end": 504.12, "word": " ا", "probability": 0.413818359375}, {"start": 504.12, "end": 505.12, "word": " احط", "probability": 0.75341796875}, {"start": 505.12, "end": 505.74, "word": " المسألة", "probability": 0.9598388671875}, {"start": 505.74, "end": 505.98, "word": " في", "probability": 0.90673828125}, {"start": 505.98, "end": 506.42, "word": " شكل", "probability": 0.9794921875}, {"start": 506.42, "end": 507.12, "word": " جديد", "probability": 0.9957682291666666}], "temperature": 1.0}, {"id": 23, "seek": 53375, "start": 507.21, "end": 533.75, "text": "عن طريق الضرب في المرافق يبقى لو ضربنا في هذا المرافق ال series هتاخد الشكل التالي جذر النوني ل N زائد جذر ال N زائد جذر ال N مقسوما على جذر ال N زائد جذر ال N زائد جذر ال N بالشكل اللي عندنا هذا", "tokens": [3615, 1863, 23032, 16572, 4587, 6024, 114, 25513, 8978, 9673, 23557, 5172, 4587, 7251, 3555, 4587, 7578, 45164, 48812, 25513, 8315, 8978, 23758, 9673, 23557, 5172, 4587, 2423, 2638, 8032, 2655, 47283, 3215, 25124, 28820, 16712, 6027, 1829, 10874, 8848, 2288, 28239, 11536, 1829, 5296, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 3714, 4587, 3794, 2407, 15042, 15844, 10874, 8848, 2288, 2423, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.11774553305336408, "compression_ratio": 2.1139240506329116, "no_speech_prob": 0.0, "words": [{"start": 507.21, "end": 507.85, "word": "عن", "probability": 0.772216796875}, {"start": 507.85, "end": 508.23, "word": " طريق", "probability": 0.9728190104166666}, {"start": 508.23, "end": 508.87, "word": " الضرب", "probability": 0.8527018229166666}, {"start": 508.87, "end": 509.29, "word": " في", "probability": 0.95947265625}, {"start": 509.29, "end": 510.25, "word": " المرافق", "probability": 0.973876953125}, {"start": 510.25, "end": 511.05, "word": " يبقى", "probability": 0.599761962890625}, {"start": 511.05, "end": 511.27, "word": " لو", "probability": 0.8837890625}, {"start": 511.27, "end": 511.89, "word": " ضربنا", "probability": 0.99462890625}, {"start": 511.89, "end": 512.09, "word": " في", "probability": 0.9775390625}, {"start": 512.09, "end": 512.55, "word": " هذا", "probability": 0.9599609375}, {"start": 512.55, "end": 513.47, "word": " المرافق", "probability": 0.9930419921875}, {"start": 513.47, "end": 513.71, "word": " ال", "probability": 0.78564453125}, {"start": 513.71, "end": 514.01, "word": " series", "probability": 0.78564453125}, {"start": 514.01, "end": 514.79, "word": " هتاخد", "probability": 0.8380126953125}, {"start": 514.79, "end": 515.33, "word": " الشكل", "probability": 0.980224609375}, {"start": 515.33, "end": 516.05, "word": " التالي", "probability": 0.9814453125}, {"start": 516.05, "end": 517.63, "word": " جذر", "probability": 0.7940266927083334}, {"start": 517.63, "end": 518.53, "word": " النوني", "probability": 0.8582356770833334}, {"start": 518.53, "end": 518.77, "word": " ل", "probability": 0.88427734375}, {"start": 518.77, "end": 519.13, "word": " N", "probability": 0.318115234375}, {"start": 519.13, "end": 519.77, "word": " زائد", "probability": 0.8097330729166666}, {"start": 519.77, "end": 520.27, "word": " جذر", "probability": 0.9925130208333334}, {"start": 520.27, "end": 520.57, "word": " ال", "probability": 0.9072265625}, {"start": 520.57, "end": 520.87, "word": " N", "probability": 0.8212890625}, {"start": 520.87, "end": 521.83, "word": " زائد", "probability": 0.8907877604166666}, {"start": 521.83, "end": 522.29, "word": " جذر", "probability": 0.9930013020833334}, {"start": 522.29, "end": 522.53, "word": " ال", "probability": 0.982421875}, {"start": 522.53, "end": 522.89, "word": " N", "probability": 0.9677734375}, {"start": 522.89, "end": 524.39, "word": " مقسوما", "probability": 0.87236328125}, {"start": 524.39, "end": 525.17, "word": " على", "probability": 0.8681640625}, {"start": 525.17, "end": 525.83, "word": " جذر", "probability": 0.99267578125}, {"start": 525.83, "end": 526.11, "word": " ال", "probability": 0.9794921875}, {"start": 526.11, "end": 526.51, "word": " N", "probability": 0.98291015625}, {"start": 526.51, "end": 527.93, "word": " زائد", "probability": 0.9767252604166666}, {"start": 527.93, "end": 528.65, "word": " جذر", "probability": 0.99609375}, {"start": 528.65, "end": 529.05, "word": " ال", "probability": 0.9833984375}, {"start": 529.05, "end": 529.51, "word": " N", "probability": 0.9921875}, {"start": 529.51, "end": 531.09, "word": " زائد", "probability": 0.9373372395833334}, {"start": 531.09, "end": 531.65, "word": " جذر", "probability": 0.9957682291666666}, {"start": 531.65, "end": 531.87, "word": " ال", "probability": 0.99072265625}, {"start": 531.87, "end": 532.15, "word": " N", "probability": 0.990234375}, {"start": 532.15, "end": 532.79, "word": " بالشكل", "probability": 0.97802734375}, {"start": 532.79, "end": 532.97, "word": " اللي", "probability": 0.959228515625}, {"start": 532.97, "end": 533.39, "word": " عندنا", "probability": 0.84765625}, {"start": 533.39, "end": 533.75, "word": " هذا", "probability": 0.93212890625}], "temperature": 1.0}, {"id": 24, "seek": 55789, "start": 534.29, "end": 557.89, "text": "يبقى أصله شكل ال series summation من n equal one to infinity اللي هو البس هو فرق بين المربعين بدي أرجعه إلى أصله يبقى مربع الكيمية الأولى اللي هو n زائد جذر ال n ناقص مربع الكيمية الثانية على المقام جذر ال n", "tokens": [1829, 3555, 4587, 7578, 5551, 36520, 3224, 13412, 28820, 2423, 2638, 28811, 9154, 297, 2681, 472, 281, 13202, 13672, 1829, 31439, 29739, 3794, 31439, 6156, 2288, 4587, 49374, 9673, 25513, 3615, 9957, 4724, 16254, 5551, 47341, 3615, 3224, 30731, 5551, 36520, 3224, 7251, 3555, 4587, 7578, 3714, 25513, 3615, 33251, 32640, 10632, 16247, 12610, 7578, 13672, 1829, 31439, 297, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 297, 8717, 995, 4587, 9381, 3714, 25513, 3615, 33251, 32640, 10632, 6024, 104, 7649, 10632, 15844, 9673, 4587, 10943, 10874, 8848, 2288, 2423, 297], "avg_logprob": -0.18818682039177026, "compression_ratio": 1.7539267015706805, "no_speech_prob": 0.0, "words": [{"start": 534.29, "end": 534.83, "word": "يبقى", "probability": 0.840087890625}, {"start": 534.83, "end": 535.41, "word": " أصله", "probability": 0.84130859375}, {"start": 535.41, "end": 535.95, "word": " شكل", "probability": 0.929931640625}, {"start": 535.95, "end": 536.25, "word": " ال", "probability": 0.8388671875}, {"start": 536.25, "end": 536.75, "word": " series", "probability": 0.28759765625}, {"start": 536.75, "end": 537.55, "word": " summation", "probability": 0.402099609375}, {"start": 537.55, "end": 538.19, "word": " من", "probability": 0.9697265625}, {"start": 538.19, "end": 538.45, "word": " n", "probability": 0.399658203125}, {"start": 538.45, "end": 538.87, "word": " equal", "probability": 0.220458984375}, {"start": 538.87, "end": 539.23, "word": " one", "probability": 0.77685546875}, {"start": 539.23, "end": 539.47, "word": " to", "probability": 0.93408203125}, {"start": 539.47, "end": 540.15, "word": " infinity", "probability": 0.861328125}, {"start": 540.15, "end": 540.65, "word": " اللي", "probability": 0.640869140625}, {"start": 540.65, "end": 540.81, "word": " هو", "probability": 0.513671875}, {"start": 540.81, "end": 541.81, "word": " البس", "probability": 0.48297119140625}, {"start": 541.81, "end": 541.99, "word": " هو", "probability": 0.85400390625}, {"start": 541.99, "end": 542.53, "word": " فرق", "probability": 0.9186197916666666}, {"start": 542.53, "end": 542.91, "word": " بين", "probability": 0.98095703125}, {"start": 542.91, "end": 543.85, "word": " المربعين", "probability": 0.9632568359375}, {"start": 543.85, "end": 544.21, "word": " بدي", "probability": 0.47393798828125}, {"start": 544.21, "end": 544.81, "word": " أرجعه", "probability": 0.8638916015625}, {"start": 544.81, "end": 544.93, "word": " إلى", "probability": 0.7998046875}, {"start": 544.93, "end": 545.45, "word": " أصله", "probability": 0.9837239583333334}, {"start": 545.45, "end": 546.31, "word": " يبقى", "probability": 0.974853515625}, {"start": 546.31, "end": 546.91, "word": " مربع", "probability": 0.9353841145833334}, {"start": 546.91, "end": 547.87, "word": " الكيمية", "probability": 0.8416341145833334}, {"start": 547.87, "end": 548.61, "word": " الأولى", "probability": 0.9890950520833334}, {"start": 548.61, "end": 548.73, "word": " اللي", "probability": 0.777587890625}, {"start": 548.73, "end": 548.91, "word": " هو", "probability": 0.951171875}, {"start": 548.91, "end": 549.29, "word": " n", "probability": 0.671875}, {"start": 549.29, "end": 549.99, "word": " زائد", "probability": 0.9192708333333334}, {"start": 549.99, "end": 550.53, "word": " جذر", "probability": 0.9446614583333334}, {"start": 550.53, "end": 550.77, "word": " ال", "probability": 0.951171875}, {"start": 550.77, "end": 551.13, "word": " n", "probability": 0.459228515625}, {"start": 551.13, "end": 552.21, "word": " ناقص", "probability": 0.97998046875}, {"start": 552.21, "end": 552.85, "word": " مربع", "probability": 0.98974609375}, {"start": 552.85, "end": 553.73, "word": " الكيمية", "probability": 0.9423828125}, {"start": 553.73, "end": 554.61, "word": " الثانية", "probability": 0.9595947265625}, {"start": 554.61, "end": 555.37, "word": " على", "probability": 0.88818359375}, {"start": 555.37, "end": 556.35, "word": " المقام", "probability": 0.8837890625}, {"start": 556.35, "end": 557.31, "word": " جذر", "probability": 0.9912109375}, {"start": 557.31, "end": 557.55, "word": " ال", "probability": 0.96923828125}, {"start": 557.55, "end": 557.89, "word": " n", "probability": 0.7861328125}], "temperature": 1.0}, {"id": 25, "seek": 58390, "start": 558.22, "end": 583.9, "text": "زائد جذر ال N زائد جذر ال N يبقى آلة ال series إلى الشكل التالي summation من N equal one to infinity سالب N موجب N مع السلامة يبقى جذر ال N على الجذر التربيع ل N زائد جذر ال N زائد جذر ال N بالشكل اللي لنا هذا", "tokens": [11622, 16373, 3215, 10874, 8848, 2288, 2423, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 7251, 3555, 4587, 7578, 19753, 37977, 2423, 2638, 30731, 25124, 28820, 16712, 6027, 1829, 28811, 9154, 426, 2681, 472, 281, 13202, 8608, 6027, 3555, 426, 3714, 29245, 3555, 426, 20449, 21136, 37440, 3660, 7251, 3555, 4587, 7578, 10874, 8848, 2288, 2423, 426, 15844, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 5296, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 20666, 8592, 28820, 13672, 1829, 5296, 8315, 23758], "avg_logprob": -0.1553259402193049, "compression_ratio": 1.9069767441860466, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 558.22, "end": 559.12, "word": "زائد", "probability": 0.6609700520833334}, {"start": 559.12, "end": 559.58, "word": " جذر", "probability": 0.9684244791666666}, {"start": 559.58, "end": 559.88, "word": " ال", "probability": 0.9248046875}, {"start": 559.88, "end": 560.2, "word": " N", "probability": 0.292236328125}, {"start": 560.2, "end": 561.36, "word": " زائد", "probability": 0.8538411458333334}, {"start": 561.36, "end": 562.0, "word": " جذر", "probability": 0.9920247395833334}, {"start": 562.0, "end": 562.38, "word": " ال", "probability": 0.90771484375}, {"start": 562.38, "end": 562.72, "word": " N", "probability": 0.8857421875}, {"start": 562.72, "end": 563.78, "word": " يبقى", "probability": 0.9521484375}, {"start": 563.78, "end": 564.22, "word": " آلة", "probability": 0.605712890625}, {"start": 564.22, "end": 564.46, "word": " ال", "probability": 0.9375}, {"start": 564.46, "end": 564.88, "word": " series", "probability": 0.77734375}, {"start": 564.88, "end": 565.34, "word": " إلى", "probability": 0.72509765625}, {"start": 565.34, "end": 566.04, "word": " الشكل", "probability": 0.97509765625}, {"start": 566.04, "end": 566.82, "word": " التالي", "probability": 0.9697265625}, {"start": 566.82, "end": 567.56, "word": " summation", "probability": 0.57275390625}, {"start": 567.56, "end": 568.16, "word": " من", "probability": 0.9638671875}, {"start": 568.16, "end": 568.44, "word": " N", "probability": 0.91552734375}, {"start": 568.44, "end": 568.88, "word": " equal", "probability": 0.339599609375}, {"start": 568.88, "end": 569.22, "word": " one", "probability": 0.62109375}, {"start": 569.22, "end": 569.44, "word": " to", "probability": 0.94189453125}, {"start": 569.44, "end": 570.02, "word": " infinity", "probability": 0.8486328125}, {"start": 570.02, "end": 570.96, "word": " سالب", "probability": 0.8343098958333334}, {"start": 570.96, "end": 571.24, "word": " N", "probability": 0.869140625}, {"start": 571.24, "end": 571.74, "word": " موجب", "probability": 0.7652994791666666}, {"start": 571.74, "end": 572.02, "word": " N", "probability": 0.6826171875}, {"start": 572.02, "end": 572.26, "word": " مع", "probability": 0.98583984375}, {"start": 572.26, "end": 573.36, "word": " السلامة", "probability": 0.9275716145833334}, {"start": 573.36, "end": 574.04, "word": " يبقى", "probability": 0.979248046875}, {"start": 574.04, "end": 574.6, "word": " جذر", "probability": 0.9920247395833334}, {"start": 574.6, "end": 574.86, "word": " ال", "probability": 0.97119140625}, {"start": 574.86, "end": 575.28, "word": " N", "probability": 0.986328125}, {"start": 575.28, "end": 576.02, "word": " على", "probability": 0.86474609375}, {"start": 576.02, "end": 576.62, "word": " الجذر", "probability": 0.9803059895833334}, {"start": 576.62, "end": 577.36, "word": " التربيع", "probability": 0.808837890625}, {"start": 577.36, "end": 577.62, "word": " ل", "probability": 0.430419921875}, {"start": 577.62, "end": 577.98, "word": " N", "probability": 0.70361328125}, {"start": 577.98, "end": 578.7, "word": " زائد", "probability": 0.9825846354166666}, {"start": 578.7, "end": 579.18, "word": " جذر", "probability": 0.994140625}, {"start": 579.18, "end": 579.44, "word": " ال", "probability": 0.9658203125}, {"start": 579.44, "end": 579.84, "word": " N", "probability": 0.994140625}, {"start": 579.84, "end": 581.18, "word": " زائد", "probability": 0.97119140625}, {"start": 581.18, "end": 581.72, "word": " جذر", "probability": 0.9933268229166666}, {"start": 581.72, "end": 581.96, "word": " ال", "probability": 0.984375}, {"start": 581.96, "end": 582.18, "word": " N", "probability": 0.99267578125}, {"start": 582.18, "end": 582.74, "word": " بالشكل", "probability": 0.9694010416666666}, {"start": 582.74, "end": 582.94, "word": " اللي", "probability": 0.9423828125}, {"start": 582.94, "end": 583.3, "word": " لنا", "probability": 0.4842529296875}, {"start": 583.3, "end": 583.9, "word": " هذا", "probability": 0.8369140625}], "temperature": 1.0}, {"id": 26, "seek": 61337, "start": 586.71, "end": 613.37, "text": "حطينا series و absolute values في الشكل الجديد اللي عدنا، الآن بدنا نيجي نبحث هل ال series هذي convert ولا diverse يبقى بمجرد النظر بلاحظ أن كل من البس و المقام له نفس الدرجة اللي فوق N أص نص و اللي تحت N أص نص و هنا N أص نص يبقى لو أخدم ال limit و دي مجددش", "tokens": [5016, 9566, 1829, 8315, 2638, 4032, 8236, 4190, 8978, 25124, 28820, 25724, 16254, 3215, 13672, 1829, 6225, 3215, 8315, 12399, 6024, 48506, 47525, 8315, 8717, 1829, 7435, 1829, 8717, 49628, 12984, 8032, 1211, 2423, 2638, 8032, 8848, 1829, 7620, 49429, 9521, 7251, 3555, 4587, 7578, 4724, 2304, 7435, 2288, 3215, 28239, 19913, 2288, 4724, 15040, 5016, 19913, 14739, 28242, 9154, 29739, 3794, 4032, 9673, 4587, 10943, 46740, 8717, 36178, 32748, 47341, 3660, 13672, 1829, 6156, 30543, 426, 5551, 9381, 8717, 9381, 4032, 13672, 1829, 6055, 33753, 426, 5551, 9381, 8717, 9381, 4032, 34105, 426, 5551, 9381, 8717, 9381, 7251, 3555, 4587, 7578, 45164, 5551, 9778, 40448, 2423, 4948, 4032, 11778, 1829, 3714, 7435, 3215, 3215, 8592], "avg_logprob": -0.2500000122265938, "compression_ratio": 1.683127572016461, "no_speech_prob": 0.0, "words": [{"start": 586.71, "end": 587.33, "word": "حطينا", "probability": 0.651092529296875}, {"start": 587.33, "end": 587.65, "word": " series", "probability": 0.564453125}, {"start": 587.65, "end": 587.81, "word": " و", "probability": 0.896484375}, {"start": 587.81, "end": 588.19, "word": " absolute", "probability": 0.9140625}, {"start": 588.19, "end": 588.73, "word": " values", "probability": 0.9267578125}, {"start": 588.73, "end": 588.91, "word": " في", "probability": 0.77783203125}, {"start": 588.91, "end": 589.35, "word": " الشكل", "probability": 0.955810546875}, {"start": 589.35, "end": 589.89, "word": " الجديد", "probability": 0.97412109375}, {"start": 589.89, "end": 590.01, "word": " اللي", "probability": 0.729736328125}, {"start": 590.01, "end": 590.63, "word": " عدنا،", "probability": 0.568359375}, {"start": 590.63, "end": 591.37, "word": " الآن", "probability": 0.619873046875}, {"start": 591.37, "end": 591.75, "word": " بدنا", "probability": 0.860107421875}, {"start": 591.75, "end": 591.95, "word": " نيجي", "probability": 0.9031982421875}, {"start": 591.95, "end": 592.43, "word": " نبحث", "probability": 0.99072265625}, {"start": 592.43, "end": 592.65, "word": " هل", "probability": 0.85595703125}, {"start": 592.65, "end": 592.77, "word": " ال", "probability": 0.939453125}, {"start": 592.77, "end": 593.03, "word": " series", "probability": 0.91357421875}, {"start": 593.03, "end": 593.39, "word": " هذي", "probability": 0.7466634114583334}, {"start": 593.39, "end": 593.89, "word": " convert", "probability": 0.05230712890625}, {"start": 593.89, "end": 594.93, "word": " ولا", "probability": 0.59521484375}, {"start": 594.93, "end": 595.97, "word": " diverse", "probability": 0.497802734375}, {"start": 595.97, "end": 596.97, "word": " يبقى", "probability": 0.84368896484375}, {"start": 596.97, "end": 597.99, "word": " بمجرد", "probability": 0.992578125}, {"start": 597.99, "end": 598.89, "word": " النظر", "probability": 0.99365234375}, {"start": 598.89, "end": 599.61, "word": " بلاحظ", "probability": 0.8690185546875}, {"start": 599.61, "end": 599.83, "word": " أن", "probability": 0.66064453125}, {"start": 599.83, "end": 600.25, "word": " كل", "probability": 0.95361328125}, {"start": 600.25, "end": 600.49, "word": " من", "probability": 0.93359375}, {"start": 600.49, "end": 600.87, "word": " البس", "probability": 0.637939453125}, {"start": 600.87, "end": 600.99, "word": " و", "probability": 0.393310546875}, {"start": 600.99, "end": 601.63, "word": " المقام", "probability": 0.947265625}, {"start": 601.63, "end": 601.97, "word": " له", "probability": 0.95654296875}, {"start": 601.97, "end": 602.55, "word": " نفس", "probability": 0.997314453125}, {"start": 602.55, "end": 603.61, "word": " الدرجة", "probability": 0.9602864583333334}, {"start": 603.61, "end": 603.83, "word": " اللي", "probability": 0.822998046875}, {"start": 603.83, "end": 604.23, "word": " فوق", "probability": 0.972900390625}, {"start": 604.23, "end": 604.51, "word": " N", "probability": 0.60009765625}, {"start": 604.51, "end": 604.75, "word": " أص", "probability": 0.5869140625}, {"start": 604.75, "end": 605.17, "word": " نص", "probability": 0.9794921875}, {"start": 605.17, "end": 605.63, "word": " و", "probability": 0.5224609375}, {"start": 605.63, "end": 605.81, "word": " اللي", "probability": 0.97607421875}, {"start": 605.81, "end": 606.23, "word": " تحت", "probability": 0.98974609375}, {"start": 606.23, "end": 606.61, "word": " N", "probability": 0.8916015625}, {"start": 606.61, "end": 606.95, "word": " أص", "probability": 0.9658203125}, {"start": 606.95, "end": 607.35, "word": " نص", "probability": 0.997314453125}, {"start": 607.35, "end": 607.69, "word": " و", "probability": 0.7998046875}, {"start": 607.69, "end": 607.97, "word": " هنا", "probability": 0.9248046875}, {"start": 607.97, "end": 608.51, "word": " N", "probability": 0.9462890625}, {"start": 608.51, "end": 609.07, "word": " أص", "probability": 0.97314453125}, {"start": 609.07, "end": 609.49, "word": " نص", "probability": 0.998291015625}, {"start": 609.49, "end": 610.13, "word": " يبقى", "probability": 0.904541015625}, {"start": 610.13, "end": 610.33, "word": " لو", "probability": 0.95703125}, {"start": 610.33, "end": 610.85, "word": " أخدم", "probability": 0.8160807291666666}, {"start": 610.85, "end": 611.19, "word": " ال", "probability": 0.89404296875}, {"start": 611.19, "end": 611.71, "word": " limit", "probability": 0.96044921875}, {"start": 611.71, "end": 612.23, "word": " و", "probability": 0.30859375}, {"start": 612.23, "end": 612.39, "word": " دي", "probability": 0.717041015625}, {"start": 612.39, "end": 613.37, "word": " مجددش", "probability": 0.607666015625}], "temperature": 1.0}, {"id": 27, "seek": 62615, "start": 614.11, "end": 626.15, "text": "مقدار ثابت بغض النظر واحدة المهم مقدار ثابت.إذا خد الجذر وان شاء الله الله بفرجها.يبقى باجي بقوله اخد الان limit لل AM", "tokens": [2304, 28543, 9640, 38637, 16758, 2655, 4724, 17082, 11242, 28239, 19913, 2288, 36764, 24401, 3660, 9673, 16095, 3714, 28543, 9640, 38637, 16758, 2655, 13, 28814, 15730, 16490, 3215, 25724, 8848, 2288, 4032, 7649, 13412, 16606, 21984, 21984, 4724, 5172, 47341, 11296, 13, 1829, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 1975, 9778, 3215, 2423, 7649, 4948, 24976, 6475], "avg_logprob": -0.36962088991384034, "compression_ratio": 1.4820143884892085, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 614.11, "end": 614.85, "word": "مقدار", "probability": 0.6566975911458334}, {"start": 614.85, "end": 615.33, "word": " ثابت", "probability": 0.9905598958333334}, {"start": 615.33, "end": 615.63, "word": " بغض", "probability": 0.6040852864583334}, {"start": 615.63, "end": 615.99, "word": " النظر", "probability": 0.8806966145833334}, {"start": 615.99, "end": 616.41, "word": " واحدة", "probability": 0.8777669270833334}, {"start": 616.41, "end": 616.73, "word": " المهم", "probability": 0.59375}, {"start": 616.73, "end": 617.37, "word": " مقدار", "probability": 0.9508463541666666}, {"start": 617.37, "end": 617.77, "word": " ثابت", "probability": 0.9967447916666666}, {"start": 617.77, "end": 618.21, "word": ".إذا", "probability": 0.51220703125}, {"start": 618.21, "end": 618.59, "word": " خد", "probability": 0.565185546875}, {"start": 618.59, "end": 619.19, "word": " الجذر", "probability": 0.830078125}, {"start": 619.19, "end": 619.65, "word": " وان", "probability": 0.7841796875}, {"start": 619.65, "end": 619.91, "word": " شاء", "probability": 0.935546875}, {"start": 619.91, "end": 620.01, "word": " الله", "probability": 0.9482421875}, {"start": 620.01, "end": 620.23, "word": " الله", "probability": 0.67724609375}, {"start": 620.23, "end": 620.85, "word": " بفرجها", "probability": 0.68560791015625}, {"start": 620.85, "end": 621.61, "word": ".يبقى", "probability": 0.83203125}, {"start": 621.61, "end": 621.97, "word": " باجي", "probability": 0.7245279947916666}, {"start": 621.97, "end": 622.45, "word": " بقوله", "probability": 0.5938720703125}, {"start": 622.45, "end": 623.37, "word": " اخد", "probability": 0.7819010416666666}, {"start": 623.37, "end": 623.97, "word": " الان", "probability": 0.45361328125}, {"start": 623.97, "end": 624.79, "word": " limit", "probability": 0.80615234375}, {"start": 624.79, "end": 625.55, "word": " لل", "probability": 0.81884765625}, {"start": 625.55, "end": 626.15, "word": " AM", "probability": 0.3623046875}], "temperature": 1.0}, {"id": 28, "seek": 64579, "start": 626.72, "end": 645.8, "text": "لما ال N تنسى الانفينيتي يبقى limit لما ال N تنسى الانفينيتي لحد انه جذر ال N على الجذر التربيعي ل N زائد جذر ال N زائد جذر ال N بالشكل اللي عندنا هذا", "tokens": [1211, 15042, 2423, 426, 6055, 1863, 3794, 7578, 2423, 7649, 5172, 9957, 1829, 31371, 7251, 3555, 4587, 7578, 4948, 5296, 15042, 2423, 426, 6055, 1863, 3794, 7578, 2423, 7649, 5172, 9957, 1829, 31371, 5296, 24401, 16472, 3224, 10874, 8848, 2288, 2423, 426, 15844, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 1829, 5296, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.21394230329837555, "compression_ratio": 1.9393939393939394, "no_speech_prob": 0.0, "words": [{"start": 626.72, "end": 627.22, "word": "لما", "probability": 0.5701904296875}, {"start": 627.22, "end": 627.46, "word": " ال", "probability": 0.9072265625}, {"start": 627.46, "end": 627.7, "word": " N", "probability": 0.46484375}, {"start": 627.7, "end": 628.28, "word": " تنسى", "probability": 0.762451171875}, {"start": 628.28, "end": 628.98, "word": " الانفينيتي", "probability": 0.7007649739583334}, {"start": 628.98, "end": 630.02, "word": " يبقى", "probability": 0.9072265625}, {"start": 630.02, "end": 630.52, "word": " limit", "probability": 0.56982421875}, {"start": 630.52, "end": 630.88, "word": " لما", "probability": 0.7548828125}, {"start": 630.88, "end": 631.1, "word": " ال", "probability": 0.93701171875}, {"start": 631.1, "end": 631.44, "word": " N", "probability": 0.974609375}, {"start": 631.44, "end": 631.92, "word": " تنسى", "probability": 0.994873046875}, {"start": 631.92, "end": 632.74, "word": " الانفينيتي", "probability": 0.9629720052083334}, {"start": 632.74, "end": 633.86, "word": " لحد", "probability": 0.70166015625}, {"start": 633.86, "end": 634.36, "word": " انه", "probability": 0.428955078125}, {"start": 634.36, "end": 635.5, "word": " جذر", "probability": 0.8221028645833334}, {"start": 635.5, "end": 635.76, "word": " ال", "probability": 0.83154296875}, {"start": 635.76, "end": 636.2, "word": " N", "probability": 0.5078125}, {"start": 636.2, "end": 637.02, "word": " على", "probability": 0.740234375}, {"start": 637.02, "end": 637.76, "word": " الجذر", "probability": 0.8942057291666666}, {"start": 637.76, "end": 638.74, "word": " التربيعي", "probability": 0.8009765625}, {"start": 638.74, "end": 638.94, "word": " ل", "probability": 0.91064453125}, {"start": 638.94, "end": 639.3, "word": " N", "probability": 0.7236328125}, {"start": 639.3, "end": 640.56, "word": " زائد", "probability": 0.74755859375}, {"start": 640.56, "end": 641.08, "word": " جذر", "probability": 0.9920247395833334}, {"start": 641.08, "end": 641.36, "word": " ال", "probability": 0.93017578125}, {"start": 641.36, "end": 641.76, "word": " N", "probability": 0.99267578125}, {"start": 641.76, "end": 643.04, "word": " زائد", "probability": 0.89453125}, {"start": 643.04, "end": 643.58, "word": " جذر", "probability": 0.9928385416666666}, {"start": 643.58, "end": 643.82, "word": " ال", "probability": 0.974609375}, {"start": 643.82, "end": 644.02, "word": " N", "probability": 0.9931640625}, {"start": 644.02, "end": 644.58, "word": " بالشكل", "probability": 0.9443359375}, {"start": 644.58, "end": 644.8, "word": " اللي", "probability": 0.945068359375}, {"start": 644.8, "end": 645.24, "word": " عندنا", "probability": 0.782958984375}, {"start": 645.24, "end": 645.8, "word": " هذا", "probability": 0.921875}], "temperature": 1.0}, {"id": 29, "seek": 66896, "start": 647.56, "end": 668.96, "text": "طيب، تعويض مباشر بيجيب لي infinity على infinity و قدامك طريقين، الطريق الأول انه تشتق البص على مشتقة المقام و ما شاء الله عليها مكلة عجر شكل او نقسم كل من البص والمقام على ان المرفوعة لأكبر أس في المقام، طبعا أكبر أس في المقام هو جداش", "tokens": [9566, 1829, 3555, 12399, 37279, 45865, 11242, 3714, 3555, 33599, 2288, 4724, 1829, 7435, 1829, 3555, 32239, 13202, 15844, 13202, 4032, 12174, 3215, 10943, 4117, 23032, 16572, 4587, 9957, 12399, 41950, 16572, 4587, 16247, 12610, 16472, 3224, 6055, 8592, 2655, 4587, 29739, 9381, 15844, 37893, 2655, 28671, 9673, 4587, 10943, 4032, 19446, 13412, 16606, 21984, 25894, 11296, 3714, 28820, 3660, 6225, 7435, 2288, 13412, 28820, 1975, 2407, 8717, 4587, 38251, 28242, 9154, 29739, 9381, 16070, 2304, 4587, 10943, 15844, 16472, 9673, 28480, 2407, 27884, 5296, 10721, 4117, 26890, 5551, 3794, 8978, 9673, 4587, 10943, 12399, 23032, 3555, 3615, 995, 5551, 4117, 26890, 5551, 3794, 8978, 9673, 4587, 10943, 31439, 10874, 3215, 33599], "avg_logprob": -0.20741151075447556, "compression_ratio": 1.9061032863849765, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 647.56, "end": 648.4, "word": "طيب،", "probability": 0.66082763671875}, {"start": 648.4, "end": 648.76, "word": " تعويض", "probability": 0.5376790364583334}, {"start": 648.76, "end": 649.32, "word": " مباشر", "probability": 0.972412109375}, {"start": 649.32, "end": 649.68, "word": " بيجيب", "probability": 0.9466796875}, {"start": 649.68, "end": 649.82, "word": " لي", "probability": 0.47314453125}, {"start": 649.82, "end": 650.62, "word": " infinity", "probability": 0.521484375}, {"start": 650.62, "end": 651.22, "word": " على", "probability": 0.7763671875}, {"start": 651.22, "end": 651.9, "word": " infinity", "probability": 0.873046875}, {"start": 651.9, "end": 652.14, "word": " و", "probability": 0.5390625}, {"start": 652.14, "end": 653.4, "word": " قدامك", "probability": 0.863525390625}, {"start": 653.4, "end": 654.1, "word": " طريقين،", "probability": 0.808154296875}, {"start": 654.1, "end": 654.52, "word": " الطريق", "probability": 0.9873046875}, {"start": 654.52, "end": 655.0, "word": " الأول", "probability": 0.93896484375}, {"start": 655.0, "end": 655.56, "word": " انه", "probability": 0.5963134765625}, {"start": 655.56, "end": 656.02, "word": " تشتق", "probability": 0.9404296875}, {"start": 656.02, "end": 656.36, "word": " البص", "probability": 0.924560546875}, {"start": 656.36, "end": 656.58, "word": " على", "probability": 0.8408203125}, {"start": 656.58, "end": 657.14, "word": " مشتقة", "probability": 0.9326171875}, {"start": 657.14, "end": 657.64, "word": " المقام", "probability": 0.9923502604166666}, {"start": 657.64, "end": 657.78, "word": " و", "probability": 0.97119140625}, {"start": 657.78, "end": 657.94, "word": " ما", "probability": 0.56787109375}, {"start": 657.94, "end": 658.2, "word": " شاء", "probability": 0.9658203125}, {"start": 658.2, "end": 658.26, "word": " الله", "probability": 0.95849609375}, {"start": 658.26, "end": 658.62, "word": " عليها", "probability": 0.950439453125}, {"start": 658.62, "end": 659.04, "word": " مكلة", "probability": 0.76123046875}, {"start": 659.04, "end": 659.32, "word": " عجر", "probability": 0.516357421875}, {"start": 659.32, "end": 659.76, "word": " شكل", "probability": 0.889404296875}, {"start": 659.76, "end": 660.48, "word": " او", "probability": 0.703125}, {"start": 660.48, "end": 660.9, "word": " نقسم", "probability": 0.99462890625}, {"start": 660.9, "end": 661.2, "word": " كل", "probability": 0.9951171875}, {"start": 661.2, "end": 661.4, "word": " من", "probability": 0.82568359375}, {"start": 661.4, "end": 661.74, "word": " البص", "probability": 0.9736328125}, {"start": 661.74, "end": 662.5, "word": " والمقام", "probability": 0.8804931640625}, {"start": 662.5, "end": 663.2, "word": " على", "probability": 0.89404296875}, {"start": 663.2, "end": 663.54, "word": " ان", "probability": 0.66796875}, {"start": 663.54, "end": 664.16, "word": " المرفوعة", "probability": 0.847412109375}, {"start": 664.16, "end": 664.7, "word": " لأكبر", "probability": 0.83880615234375}, {"start": 664.7, "end": 665.06, "word": " أس", "probability": 0.622802734375}, {"start": 665.06, "end": 665.28, "word": " في", "probability": 0.87548828125}, {"start": 665.28, "end": 666.32, "word": " المقام،", "probability": 0.8690185546875}, {"start": 666.32, "end": 666.66, "word": " طبعا", "probability": 0.9765625}, {"start": 666.66, "end": 667.12, "word": " أكبر", "probability": 0.8727213541666666}, {"start": 667.12, "end": 667.5, "word": " أس", "probability": 0.959716796875}, {"start": 667.5, "end": 667.64, "word": " في", "probability": 0.9775390625}, {"start": 667.64, "end": 668.08, "word": " المقام", "probability": 0.9967447916666666}, {"start": 668.08, "end": 668.26, "word": " هو", "probability": 0.50439453125}, {"start": 668.26, "end": 668.96, "word": " جداش", "probability": 0.88671875}], "temperature": 1.0}, {"id": 30, "seek": 68845, "start": 669.51, "end": 688.45, "text": "ن أص نص. لأنه لو شيلنا هذا بيصير الجذر التربيع لأنه جذر ال N يبقى بدي أجسم كل من البص والمقام على جذر ال M يبقى هذا الكلام بده يساوي ال limit لما ال N tends to infinity لواحد عالى", "tokens": [1863, 5551, 9381, 8717, 9381, 13, 5296, 33456, 3224, 45164, 13412, 26895, 8315, 23758, 4724, 1829, 9381, 13546, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 5296, 33456, 3224, 10874, 8848, 2288, 2423, 426, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 7435, 38251, 28242, 9154, 29739, 9381, 16070, 2304, 4587, 10943, 15844, 10874, 8848, 2288, 2423, 376, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 14407, 24401, 6225, 6027, 7578], "avg_logprob": -0.28815406179705333, "compression_ratio": 1.6120218579234973, "no_speech_prob": 0.0, "words": [{"start": 669.51, "end": 670.17, "word": "ن", "probability": 0.263671875}, {"start": 670.17, "end": 670.77, "word": " أص", "probability": 0.5115966796875}, {"start": 670.77, "end": 671.19, "word": " نص.", "probability": 0.98583984375}, {"start": 671.37, "end": 671.95, "word": " لأنه", "probability": 0.5590006510416666}, {"start": 671.95, "end": 672.03, "word": " لو", "probability": 0.6181640625}, {"start": 672.03, "end": 672.57, "word": " شيلنا", "probability": 0.8603515625}, {"start": 672.57, "end": 672.85, "word": " هذا", "probability": 0.61767578125}, {"start": 672.85, "end": 673.35, "word": " بيصير", "probability": 0.7218017578125}, {"start": 673.35, "end": 673.79, "word": " الجذر", "probability": 0.8987630208333334}, {"start": 673.79, "end": 674.37, "word": " التربيع", "probability": 0.74005126953125}, {"start": 674.37, "end": 674.91, "word": " لأنه", "probability": 0.8165690104166666}, {"start": 674.91, "end": 675.25, "word": " جذر", "probability": 0.9641927083333334}, {"start": 675.25, "end": 675.43, "word": " ال", "probability": 0.9443359375}, {"start": 675.43, "end": 675.67, "word": " N", "probability": 0.264404296875}, {"start": 675.67, "end": 676.29, "word": " يبقى", "probability": 0.83038330078125}, {"start": 676.29, "end": 676.57, "word": " بدي", "probability": 0.722900390625}, {"start": 676.57, "end": 676.97, "word": " أجسم", "probability": 0.7687174479166666}, {"start": 676.97, "end": 677.25, "word": " كل", "probability": 0.98828125}, {"start": 677.25, "end": 677.45, "word": " من", "probability": 0.57373046875}, {"start": 677.45, "end": 677.79, "word": " البص", "probability": 0.5914306640625}, {"start": 677.79, "end": 678.49, "word": " والمقام", "probability": 0.9334716796875}, {"start": 678.49, "end": 679.03, "word": " على", "probability": 0.88671875}, {"start": 679.03, "end": 679.95, "word": " جذر", "probability": 0.990234375}, {"start": 679.95, "end": 680.27, "word": " ال", "probability": 0.92822265625}, {"start": 680.27, "end": 680.73, "word": " M", "probability": 0.9716796875}, {"start": 680.73, "end": 681.67, "word": " يبقى", "probability": 0.86639404296875}, {"start": 681.67, "end": 681.93, "word": " هذا", "probability": 0.96923828125}, {"start": 681.93, "end": 682.47, "word": " الكلام", "probability": 0.9679361979166666}, {"start": 682.47, "end": 682.83, "word": " بده", "probability": 0.6810302734375}, {"start": 682.83, "end": 683.31, "word": " يساوي", "probability": 0.8968505859375}, {"start": 683.31, "end": 683.49, "word": " ال", "probability": 0.442626953125}, {"start": 683.49, "end": 683.97, "word": " limit", "probability": 0.955078125}, {"start": 683.97, "end": 684.79, "word": " لما", "probability": 0.91015625}, {"start": 684.79, "end": 684.99, "word": " ال", "probability": 0.98193359375}, {"start": 684.99, "end": 685.39, "word": " N", "probability": 0.8828125}, {"start": 685.39, "end": 685.69, "word": " tends", "probability": 0.6689453125}, {"start": 685.69, "end": 685.91, "word": " to", "probability": 0.96240234375}, {"start": 685.91, "end": 686.53, "word": " infinity", "probability": 0.81103515625}, {"start": 686.53, "end": 687.83, "word": " لواحد", "probability": 0.7425130208333334}, {"start": 687.83, "end": 688.45, "word": " عالى", "probability": 0.6578776041666666}], "temperature": 1.0}, {"id": 31, "seek": 70144, "start": 689.02, "end": 701.44, "text": "هذه اللي هما نجسمها على جذر ال N بصير بها كبار و جذر واحد كله ل N زائد جذر ال N على N زائد واحد", "tokens": [3224, 24192, 13672, 1829, 8032, 15042, 8717, 7435, 38251, 11296, 15844, 10874, 8848, 2288, 2423, 426, 4724, 9381, 13546, 4724, 11296, 9122, 3555, 9640, 4032, 10874, 8848, 2288, 36764, 24401, 28242, 3224, 5296, 426, 30767, 16373, 3215, 10874, 8848, 2288, 2423, 426, 15844, 426, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.224062502682209, "compression_ratio": 1.62, "no_speech_prob": 0.0, "words": [{"start": 689.02, "end": 689.48, "word": "هذه", "probability": 0.78662109375}, {"start": 689.48, "end": 689.58, "word": " اللي", "probability": 0.515716552734375}, {"start": 689.58, "end": 689.76, "word": " هما", "probability": 0.29473876953125}, {"start": 689.76, "end": 690.34, "word": " نجسمها", "probability": 0.9256591796875}, {"start": 690.34, "end": 690.64, "word": " على", "probability": 0.88134765625}, {"start": 690.64, "end": 691.26, "word": " جذر", "probability": 0.85888671875}, {"start": 691.26, "end": 691.56, "word": " ال", "probability": 0.93212890625}, {"start": 691.56, "end": 691.78, "word": " N", "probability": 0.3916015625}, {"start": 691.78, "end": 692.28, "word": " بصير", "probability": 0.9129231770833334}, {"start": 692.28, "end": 692.54, "word": " بها", "probability": 0.8828125}, {"start": 692.54, "end": 693.0, "word": " كبار", "probability": 0.9440104166666666}, {"start": 693.0, "end": 693.16, "word": " و", "probability": 0.388916015625}, {"start": 693.16, "end": 693.9, "word": " جذر", "probability": 0.9640299479166666}, {"start": 693.9, "end": 694.5, "word": " واحد", "probability": 0.968994140625}, {"start": 694.5, "end": 695.36, "word": " كله", "probability": 0.9150390625}, {"start": 695.36, "end": 695.62, "word": " ل", "probability": 0.83837890625}, {"start": 695.62, "end": 696.08, "word": " N", "probability": 0.72021484375}, {"start": 696.08, "end": 697.18, "word": " زائد", "probability": 0.7998046875}, {"start": 697.18, "end": 697.76, "word": " جذر", "probability": 0.9949544270833334}, {"start": 697.76, "end": 698.02, "word": " ال", "probability": 0.947265625}, {"start": 698.02, "end": 698.4, "word": " N", "probability": 0.98388671875}, {"start": 698.4, "end": 699.24, "word": " على", "probability": 0.68994140625}, {"start": 699.24, "end": 699.86, "word": " N", "probability": 0.97119140625}, {"start": 699.86, "end": 701.02, "word": " زائد", "probability": 0.97021484375}, {"start": 701.02, "end": 701.44, "word": " واحد", "probability": 0.947265625}], "temperature": 1.0}, {"id": 32, "seek": 73243, "start": 702.83, "end": 732.43, "text": "يبقى آلة المسألة إلى الشكل التالي limit لما ال N tends to infinity لواحد على الجذر الترابيعي N على N بواحد زائد لما نجسم هذه على هذه بصير واحد على جذر ال N زائد واحد واحد على infinity ب zero بظل واحد زاد واحد زي اتنين اللي هو يساوي", "tokens": [1829, 3555, 4587, 7578, 19753, 37977, 9673, 3794, 10721, 37977, 30731, 25124, 28820, 16712, 6027, 1829, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 14407, 24401, 15844, 25724, 8848, 2288, 16712, 2288, 16758, 40228, 1829, 426, 15844, 426, 4724, 14407, 24401, 30767, 16373, 3215, 5296, 15042, 8717, 7435, 38251, 29538, 15844, 29538, 4724, 9381, 13546, 36764, 24401, 15844, 10874, 8848, 2288, 2423, 426, 30767, 16373, 3215, 36764, 24401, 36764, 24401, 15844, 13202, 4724, 4018, 4724, 19913, 1211, 36764, 24401, 30767, 18513, 36764, 24401, 30767, 1829, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 7251, 3794, 995, 45865], "avg_logprob": -0.18478954537790648, "compression_ratio": 1.899497487437186, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 702.83, "end": 703.39, "word": "يبقى", "probability": 0.802001953125}, {"start": 703.39, "end": 703.83, "word": " آلة", "probability": 0.749267578125}, {"start": 703.83, "end": 704.49, "word": " المسألة", "probability": 0.954833984375}, {"start": 704.49, "end": 704.75, "word": " إلى", "probability": 0.53955078125}, {"start": 704.75, "end": 705.33, "word": " الشكل", "probability": 0.971923828125}, {"start": 705.33, "end": 706.03, "word": " التالي", "probability": 0.98828125}, {"start": 706.03, "end": 706.71, "word": " limit", "probability": 0.53125}, {"start": 706.71, "end": 707.11, "word": " لما", "probability": 0.86474609375}, {"start": 707.11, "end": 707.31, "word": " ال", "probability": 0.95166015625}, {"start": 707.31, "end": 707.53, "word": " N", "probability": 0.33740234375}, {"start": 707.53, "end": 707.85, "word": " tends", "probability": 0.65185546875}, {"start": 707.85, "end": 708.07, "word": " to", "probability": 0.939453125}, {"start": 708.07, "end": 708.69, "word": " infinity", "probability": 0.77734375}, {"start": 708.69, "end": 709.97, "word": " لواحد", "probability": 0.806640625}, {"start": 709.97, "end": 710.45, "word": " على", "probability": 0.830078125}, {"start": 710.45, "end": 711.59, "word": " الجذر", "probability": 0.9099934895833334}, {"start": 711.59, "end": 712.77, "word": " الترابيعي", "probability": 0.898046875}, {"start": 712.77, "end": 713.33, "word": " N", "probability": 0.6005859375}, {"start": 713.33, "end": 713.61, "word": " على", "probability": 0.74169921875}, {"start": 713.61, "end": 714.03, "word": " N", "probability": 0.92724609375}, {"start": 714.03, "end": 714.95, "word": " بواحد", "probability": 0.9669596354166666}, {"start": 714.95, "end": 715.91, "word": " زائد", "probability": 0.8806966145833334}, {"start": 715.91, "end": 716.19, "word": " لما", "probability": 0.76806640625}, {"start": 716.19, "end": 716.67, "word": " نجسم", "probability": 0.8206380208333334}, {"start": 716.67, "end": 717.05, "word": " هذه", "probability": 0.63818359375}, {"start": 717.05, "end": 717.29, "word": " على", "probability": 0.89111328125}, {"start": 717.29, "end": 717.83, "word": " هذه", "probability": 0.9619140625}, {"start": 717.83, "end": 718.67, "word": " بصير", "probability": 0.7493489583333334}, {"start": 718.67, "end": 719.79, "word": " واحد", "probability": 0.982666015625}, {"start": 719.79, "end": 720.41, "word": " على", "probability": 0.8564453125}, {"start": 720.41, "end": 721.15, "word": " جذر", "probability": 0.9593098958333334}, {"start": 721.15, "end": 721.47, "word": " ال", "probability": 0.96044921875}, {"start": 721.47, "end": 721.83, "word": " N", "probability": 0.97412109375}, {"start": 721.83, "end": 723.29, "word": " زائد", "probability": 0.9661458333333334}, {"start": 723.29, "end": 723.99, "word": " واحد", "probability": 0.9716796875}, {"start": 723.99, "end": 725.27, "word": " واحد", "probability": 0.892822265625}, {"start": 725.27, "end": 725.51, "word": " على", "probability": 0.81005859375}, {"start": 725.51, "end": 726.27, "word": " infinity", "probability": 0.5400390625}, {"start": 726.27, "end": 726.89, "word": " ب", "probability": 0.931640625}, {"start": 726.89, "end": 727.51, "word": " zero", "probability": 0.37890625}, {"start": 727.51, "end": 728.59, "word": " بظل", "probability": 0.7970377604166666}, {"start": 728.59, "end": 729.35, "word": " واحد", "probability": 0.9853515625}, {"start": 729.35, "end": 729.69, "word": " زاد", "probability": 0.6365966796875}, {"start": 729.69, "end": 730.17, "word": " واحد", "probability": 0.985107421875}, {"start": 730.17, "end": 730.43, "word": " زي", "probability": 0.68994140625}, {"start": 730.43, "end": 730.99, "word": " اتنين", "probability": 0.9681396484375}, {"start": 730.99, "end": 731.49, "word": " اللي", "probability": 0.890625}, {"start": 731.49, "end": 731.73, "word": " هو", "probability": 0.958984375}, {"start": 731.73, "end": 732.43, "word": " يساوي", "probability": 0.8502197265625}], "temperature": 1.0}, {"id": 33, "seek": 76115, "start": 735.31, "end": 761.15, "text": "لا يساوي زيرو لا يساوي زيرو لا يساوي زيرو لا يساوي زيرو لا يساوي زيرو لا يساوي زيرو", "tokens": [15040, 7251, 3794, 995, 45865, 30767, 13546, 2407, 20193, 7251, 3794, 995, 45865, 30767, 13546, 2407, 20193, 7251, 3794, 995, 45865, 30767, 13546, 2407, 20193, 7251, 3794, 995, 45865, 30767, 13546, 2407, 20193, 7251, 3794, 995, 45865, 30767, 13546, 2407, 20193, 7251, 3794, 995, 45865, 30767, 13546, 2407], "avg_logprob": -0.2743941423844318, "compression_ratio": 4.027027027027027, "no_speech_prob": 0.0, "words": [{"start": 735.31, "end": 735.87, "word": "لا", "probability": 0.52880859375}, {"start": 735.87, "end": 736.89, "word": " يساوي", "probability": 0.96044921875}, {"start": 736.89, "end": 737.35, "word": " زيرو", "probability": 0.6581624348958334}, {"start": 737.35, "end": 738.29, "word": " لا", "probability": 0.11968994140625}, {"start": 738.29, "end": 740.75, "word": " يساوي", "probability": 0.932861328125}, {"start": 740.75, "end": 741.23, "word": " زيرو", "probability": 0.7967936197916666}, {"start": 741.23, "end": 742.03, "word": " لا", "probability": 0.302001953125}, {"start": 742.03, "end": 743.09, "word": " يساوي", "probability": 0.9310302734375}, {"start": 743.09, "end": 745.07, "word": " زيرو", "probability": 0.8445638020833334}, {"start": 745.07, "end": 745.25, "word": " لا", "probability": 0.473388671875}, {"start": 745.25, "end": 746.27, "word": " يساوي", "probability": 0.9481201171875}, {"start": 746.27, "end": 746.75, "word": " زيرو", "probability": 0.9235026041666666}, {"start": 746.75, "end": 747.79, "word": " لا", "probability": 0.6142578125}, {"start": 747.79, "end": 750.09, "word": " يساوي", "probability": 0.9619140625}, {"start": 750.09, "end": 750.45, "word": " زيرو", "probability": 0.9532877604166666}, {"start": 750.45, "end": 752.95, "word": " لا", "probability": 0.67138671875}, {"start": 752.95, "end": 757.35, "word": " يساوي", "probability": 0.96826171875}, {"start": 757.35, "end": 761.15, "word": " زيرو", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 34, "seek": 79200, "start": 762.8, "end": 792.0, "text": "إذاً الـ Series الأصلية الله أعلم قد تكون converged و قد تكون diverged لكن هذا مش هو عبارة عن ال condition التالف الشرف التالف في النظرية صحيحة ولا لأ الشرف التالف بيقول إنه غير متحقق هيو يسوى نص لا يسوى zero يبقى مالها تمامًا ال Series الأصلية مالها diverged باجي بقوله but the third condition", "tokens": [28814, 15730, 14111, 2423, 39184, 13934, 16247, 36520, 10632, 21984, 5551, 3615, 19528, 12174, 3215, 6055, 30544, 9652, 3004, 4032, 12174, 3215, 6055, 30544, 18558, 3004, 44381, 23758, 37893, 31439, 6225, 3555, 9640, 3660, 18871, 2423, 4188, 16712, 6027, 5172, 25124, 28480, 16712, 6027, 5172, 8978, 28239, 19913, 2288, 10632, 20328, 5016, 1829, 5016, 3660, 49429, 5296, 10721, 25124, 28480, 16712, 6027, 5172, 4724, 1829, 39648, 36145, 3224, 32771, 13546, 44650, 5016, 4587, 4587, 39896, 2407, 7251, 3794, 2407, 7578, 8717, 9381, 20193, 7251, 3794, 2407, 7578, 4018, 7251, 3555, 4587, 7578, 3714, 6027, 11296, 46811, 10943, 14111, 995, 2423, 13934, 16247, 36520, 10632, 3714, 6027, 11296, 18558, 3004, 4724, 26108, 1829, 4724, 39648, 3224, 457, 264, 2636, 4188], "avg_logprob": -0.28828124205271405, "compression_ratio": 1.8412698412698412, "no_speech_prob": 0.0, "words": [{"start": 762.8, "end": 763.34, "word": "إذاً", "probability": 0.3966471354166667}, {"start": 763.34, "end": 763.36, "word": " الـ", "probability": 0.78857421875}, {"start": 763.36, "end": 763.58, "word": " Series", "probability": 0.61279296875}, {"start": 763.58, "end": 764.3, "word": " الأصلية", "probability": 0.8179524739583334}, {"start": 764.3, "end": 764.68, "word": " الله", "probability": 0.64697265625}, {"start": 764.68, "end": 765.2, "word": " أعلم", "probability": 0.9677734375}, {"start": 765.2, "end": 765.56, "word": " قد", "probability": 0.959716796875}, {"start": 765.56, "end": 765.92, "word": " تكون", "probability": 0.9931640625}, {"start": 765.92, "end": 766.48, "word": " converged", "probability": 0.5440673828125}, {"start": 766.48, "end": 766.66, "word": " و", "probability": 0.95556640625}, {"start": 766.66, "end": 766.94, "word": " قد", "probability": 0.6943359375}, {"start": 766.94, "end": 767.86, "word": " تكون", "probability": 0.99462890625}, {"start": 767.86, "end": 768.5, "word": " diverged", "probability": 0.81787109375}, {"start": 768.5, "end": 768.84, "word": " لكن", "probability": 0.52978515625}, {"start": 768.84, "end": 769.56, "word": " هذا", "probability": 0.822265625}, {"start": 769.56, "end": 770.58, "word": " مش", "probability": 0.1456298828125}, {"start": 770.58, "end": 770.86, "word": " هو", "probability": 0.82177734375}, {"start": 770.86, "end": 771.36, "word": " عبارة", "probability": 0.9893798828125}, {"start": 771.36, "end": 771.54, "word": " عن", "probability": 0.99462890625}, {"start": 771.54, "end": 771.68, "word": " ال", "probability": 0.93115234375}, {"start": 771.68, "end": 772.08, "word": " condition", "probability": 0.91845703125}, {"start": 772.08, "end": 772.82, "word": " التالف", "probability": 0.8251953125}, {"start": 772.82, "end": 773.88, "word": " الشرف", "probability": 0.39013671875}, {"start": 773.88, "end": 774.24, "word": " التالف", "probability": 0.9378255208333334}, {"start": 774.24, "end": 774.38, "word": " في", "probability": 0.6630859375}, {"start": 774.38, "end": 774.82, "word": " النظرية", "probability": 0.82879638671875}, {"start": 774.82, "end": 775.24, "word": " صحيحة", "probability": 0.6614990234375}, {"start": 775.24, "end": 775.4, "word": " ولا", "probability": 0.759765625}, {"start": 775.4, "end": 775.62, "word": " لأ", "probability": 0.6900634765625}, {"start": 775.62, "end": 776.32, "word": " الشرف", "probability": 0.7264404296875}, {"start": 776.32, "end": 776.72, "word": " التالف", "probability": 0.98193359375}, {"start": 776.72, "end": 777.12, "word": " بيقول", "probability": 0.89453125}, {"start": 777.12, "end": 777.62, "word": " إنه", "probability": 0.76123046875}, {"start": 777.62, "end": 777.9, "word": " غير", "probability": 0.9970703125}, {"start": 777.9, "end": 778.9, "word": " متحقق", "probability": 0.98974609375}, {"start": 778.9, "end": 779.24, "word": " هيو", "probability": 0.629638671875}, {"start": 779.24, "end": 779.6, "word": " يسوى", "probability": 0.787841796875}, {"start": 779.6, "end": 779.88, "word": " نص", "probability": 0.959716796875}, {"start": 779.88, "end": 780.1, "word": " لا", "probability": 0.74951171875}, {"start": 780.1, "end": 780.72, "word": " يسوى", "probability": 0.897216796875}, {"start": 780.72, "end": 781.1, "word": " zero", "probability": 0.4638671875}, {"start": 781.1, "end": 781.88, "word": " يبقى", "probability": 0.95068359375}, {"start": 781.88, "end": 782.16, "word": " مالها", "probability": 0.7145182291666666}, {"start": 782.16, "end": 782.58, "word": " تمامًا", "probability": 0.73590087890625}, {"start": 782.58, "end": 782.66, "word": " ال", "probability": 0.86865234375}, {"start": 782.66, "end": 782.84, "word": " Series", "probability": 0.5712890625}, {"start": 782.84, "end": 783.48, "word": " الأصلية", "probability": 0.9274088541666666}, {"start": 783.48, "end": 783.98, "word": " مالها", "probability": 0.91259765625}, {"start": 783.98, "end": 785.18, "word": " diverged", "probability": 0.59344482421875}, {"start": 785.18, "end": 785.68, "word": " باجي", "probability": 0.75}, {"start": 785.68, "end": 786.52, "word": " بقوله", "probability": 0.91064453125}, {"start": 786.52, "end": 787.36, "word": " but", "probability": 0.349365234375}, {"start": 787.36, "end": 789.02, "word": " the", "probability": 0.91845703125}, {"start": 789.02, "end": 790.22, "word": " third", "probability": 0.91796875}, {"start": 790.22, "end": 792.0, "word": " condition", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 35, "seek": 82333, "start": 794.73, "end": 823.33, "text": "is not satisfied الشرط التالت مش متحقق that is اي ان limit لل a n لما ال n tends to infinity يسوى نص لا يسوى zero معناته therefore ولهذا the series", "tokens": [271, 406, 11239, 25124, 2288, 9566, 16712, 6027, 2655, 37893, 44650, 5016, 4587, 4587, 300, 307, 1975, 1829, 16472, 4948, 24976, 257, 297, 5296, 15042, 2423, 297, 12258, 281, 13202, 7251, 3794, 2407, 7578, 8717, 9381, 20193, 7251, 3794, 2407, 7578, 4018, 20449, 8315, 47395, 4412, 35525, 3224, 15730, 264, 2638], "avg_logprob": -0.3242187425494194, "compression_ratio": 1.3355704697986577, "no_speech_prob": 0.0, "words": [{"start": 794.73, "end": 795.47, "word": "is", "probability": 0.221923828125}, {"start": 795.47, "end": 797.05, "word": " not", "probability": 0.9384765625}, {"start": 797.05, "end": 798.97, "word": " satisfied", "probability": 0.8330078125}, {"start": 798.97, "end": 801.43, "word": " الشرط", "probability": 0.7945963541666666}, {"start": 801.43, "end": 801.99, "word": " التالت", "probability": 0.9677734375}, {"start": 801.99, "end": 802.21, "word": " مش", "probability": 0.7685546875}, {"start": 802.21, "end": 803.33, "word": " متحقق", "probability": 0.974853515625}, {"start": 803.33, "end": 804.15, "word": " that", "probability": 0.60400390625}, {"start": 804.15, "end": 805.75, "word": " is", "probability": 0.9453125}, {"start": 805.75, "end": 806.45, "word": " اي", "probability": 0.59912109375}, {"start": 806.45, "end": 806.81, "word": " ان", "probability": 0.646484375}, {"start": 806.81, "end": 808.11, "word": " limit", "probability": 0.22509765625}, {"start": 808.11, "end": 808.55, "word": " لل", "probability": 0.82568359375}, {"start": 808.55, "end": 809.01, "word": " a", "probability": 0.155517578125}, {"start": 809.01, "end": 809.41, "word": " n", "probability": 0.368408203125}, {"start": 809.41, "end": 810.17, "word": " لما", "probability": 0.92578125}, {"start": 810.17, "end": 810.37, "word": " ال", "probability": 0.958984375}, {"start": 810.37, "end": 810.59, "word": " n", "probability": 0.341064453125}, {"start": 810.59, "end": 810.97, "word": " tends", "probability": 0.6689453125}, {"start": 810.97, "end": 811.17, "word": " to", "probability": 0.89599609375}, {"start": 811.17, "end": 811.89, "word": " infinity", "probability": 0.79931640625}, {"start": 811.89, "end": 813.19, "word": " يسوى", "probability": 0.833251953125}, {"start": 813.19, "end": 813.69, "word": " نص", "probability": 0.923828125}, {"start": 813.69, "end": 814.51, "word": " لا", "probability": 0.60009765625}, {"start": 814.51, "end": 815.25, "word": " يسوى", "probability": 0.92724609375}, {"start": 815.25, "end": 815.77, "word": " zero", "probability": 0.69189453125}, {"start": 815.77, "end": 817.19, "word": " معناته", "probability": 0.8824869791666666}, {"start": 817.19, "end": 819.35, "word": " therefore", "probability": 0.68701171875}, {"start": 819.35, "end": 821.89, "word": " ولهذا", "probability": 0.7281901041666666}, {"start": 821.89, "end": 822.83, "word": " the", "probability": 0.80419921875}, {"start": 822.83, "end": 823.33, "word": " series", "probability": 0.7822265625}], "temperature": 1.0}, {"id": 36, "seek": 84672, "start": 825.3, "end": 846.72, "text": "اللي هي summation من N equal one to infinity لمين لسالب واحد to the power N الجدر التربية ل N زائد جدر ال N ناقص جدر ال N diverse وانتهينا من هذه المسألة", "tokens": [6027, 20292, 39896, 28811, 9154, 426, 2681, 472, 281, 13202, 32767, 9957, 5296, 3794, 6027, 3555, 36764, 24401, 281, 264, 1347, 426, 25724, 3215, 2288, 16712, 25513, 10632, 5296, 426, 30767, 16373, 3215, 10874, 3215, 2288, 2423, 426, 8717, 995, 4587, 9381, 10874, 3215, 2288, 2423, 426, 9521, 4032, 7649, 47395, 1829, 8315, 9154, 29538, 9673, 3794, 10721, 37977], "avg_logprob": -0.21236979141831397, "compression_ratio": 1.3888888888888888, "no_speech_prob": 0.0, "words": [{"start": 825.3, "end": 825.64, "word": "اللي", "probability": 0.25146484375}, {"start": 825.64, "end": 825.88, "word": " هي", "probability": 0.88623046875}, {"start": 825.88, "end": 826.36, "word": " summation", "probability": 0.85693359375}, {"start": 826.36, "end": 827.0, "word": " من", "probability": 0.970703125}, {"start": 827.0, "end": 827.28, "word": " N", "probability": 0.4375}, {"start": 827.28, "end": 827.76, "word": " equal", "probability": 0.2086181640625}, {"start": 827.76, "end": 828.18, "word": " one", "probability": 0.76220703125}, {"start": 828.18, "end": 828.44, "word": " to", "probability": 0.95166015625}, {"start": 828.44, "end": 829.22, "word": " infinity", "probability": 0.859375}, {"start": 829.22, "end": 830.46, "word": " لمين", "probability": 0.694580078125}, {"start": 830.46, "end": 832.08, "word": " لسالب", "probability": 0.689697265625}, {"start": 832.08, "end": 832.72, "word": " واحد", "probability": 0.98876953125}, {"start": 832.72, "end": 832.98, "word": " to", "probability": 0.94921875}, {"start": 832.98, "end": 833.2, "word": " the", "probability": 0.9052734375}, {"start": 833.2, "end": 833.68, "word": " power", "probability": 0.88916015625}, {"start": 833.68, "end": 834.16, "word": " N", "probability": 0.89599609375}, {"start": 834.16, "end": 835.28, "word": " الجدر", "probability": 0.80517578125}, {"start": 835.28, "end": 835.94, "word": " التربية", "probability": 0.7931315104166666}, {"start": 835.94, "end": 836.24, "word": " ل", "probability": 0.95849609375}, {"start": 836.24, "end": 836.58, "word": " N", "probability": 0.58349609375}, {"start": 836.58, "end": 837.52, "word": " زائد", "probability": 0.9153645833333334}, {"start": 837.52, "end": 837.94, "word": " جدر", "probability": 0.9684244791666666}, {"start": 837.94, "end": 838.18, "word": " ال", "probability": 0.8544921875}, {"start": 838.18, "end": 838.52, "word": " N", "probability": 0.8603515625}, {"start": 838.52, "end": 839.78, "word": " ناقص", "probability": 0.9765625}, {"start": 839.78, "end": 840.28, "word": " جدر", "probability": 0.9837239583333334}, {"start": 840.28, "end": 840.54, "word": " ال", "probability": 0.97509765625}, {"start": 840.54, "end": 840.96, "word": " N", "probability": 0.99267578125}, {"start": 840.96, "end": 842.04, "word": " diverse", "probability": 0.2215576171875}, {"start": 842.04, "end": 843.38, "word": " وانتهينا", "probability": 0.93994140625}, {"start": 843.38, "end": 843.92, "word": " من", "probability": 0.99169921875}, {"start": 843.92, "end": 844.96, "word": " هذه", "probability": 0.9794921875}, {"start": 844.96, "end": 846.72, "word": " المسألة", "probability": 0.9635009765625}], "temperature": 1.0}, {"id": 37, "seek": 87565, "start": 861.79, "end": 875.65, "text": "المثال العاشر والاخير يقول ما يأتي summation برضه من n equal one", "tokens": [45340, 12984, 6027, 18863, 33599, 2288, 16070, 47283, 13546, 7251, 39648, 19446, 7251, 10721, 31371, 28811, 4724, 43042, 3224, 9154, 297, 2681, 472], "avg_logprob": -0.3115234399835269, "compression_ratio": 1.0421052631578946, "no_speech_prob": 0.0, "words": [{"start": 861.7900000000001, "end": 863.19, "word": "المثال", "probability": 0.84423828125}, {"start": 863.19, "end": 863.75, "word": " العاشر", "probability": 0.8302408854166666}, {"start": 863.75, "end": 864.53, "word": " والاخير", "probability": 0.85546875}, {"start": 864.53, "end": 866.43, "word": " يقول", "probability": 0.656005859375}, {"start": 866.43, "end": 866.75, "word": " ما", "probability": 0.6953125}, {"start": 866.75, "end": 867.43, "word": " يأتي", "probability": 0.8616536458333334}, {"start": 867.43, "end": 871.89, "word": " summation", "probability": 0.82275390625}, {"start": 871.89, "end": 873.53, "word": " برضه", "probability": 0.7439778645833334}, {"start": 873.53, "end": 873.77, "word": " من", "probability": 0.96875}, {"start": 873.77, "end": 874.13, "word": " n", "probability": 0.3115234375}, {"start": 874.13, "end": 874.73, "word": " equal", "probability": 0.412109375}, {"start": 874.73, "end": 875.65, "word": " one", "probability": 0.85986328125}], "temperature": 1.0}, {"id": 38, "seek": 90276, "start": 894.64, "end": 902.76, "text": "من هنا نرى هل هذه السيريوز مرتبطة او مختلفة", "tokens": [27842, 34105, 8717, 2288, 7578, 8032, 1211, 29538, 21136, 13546, 1829, 2407, 11622, 3714, 43500, 3555, 9566, 3660, 1975, 2407, 3714, 46456, 46538, 3660], "avg_logprob": -0.7493749809265137, "compression_ratio": 1.1142857142857143, "no_speech_prob": 0.0, "words": [{"start": 894.6400000000001, "end": 896.0400000000001, "word": "من", "probability": 0.060394287109375}, {"start": 896.0400000000001, "end": 897.44, "word": " هنا", "probability": 0.8876953125}, {"start": 897.44, "end": 897.76, "word": " نرى", "probability": 0.6236572265625}, {"start": 897.76, "end": 897.88, "word": " هل", "probability": 0.5296630859375}, {"start": 897.88, "end": 897.96, "word": " هذه", "probability": 0.7880859375}, {"start": 897.96, "end": 898.52, "word": " السيريوز", "probability": 0.647119140625}, {"start": 898.52, "end": 899.78, "word": " مرتبطة", "probability": 0.6115966796875}, {"start": 899.78, "end": 900.6, "word": " او", "probability": 0.54345703125}, {"start": 900.6, "end": 902.76, "word": " مختلفة", "probability": 0.4969482421875}], "temperature": 1.0}, {"id": 39, "seek": 93702, "start": 908.16, "end": 937.02, "text": "بنروح ناخد the series of absolute values as summation من N equal one to infinity للإثنين N factorial عالميا على الإثنين أُس N في ال N factorial في ال N بالشكل اللي قلنا هذا مين أفضل اختبار لهذا الشغل؟", "tokens": [3555, 1863, 32887, 5016, 8717, 47283, 3215, 264, 2638, 295, 8236, 4190, 382, 28811, 9154, 426, 2681, 472, 281, 13202, 24976, 28814, 12984, 1863, 9957, 426, 36916, 6225, 45340, 25528, 15844, 33688, 12984, 1863, 9957, 5551, 10859, 3794, 426, 8978, 2423, 426, 36916, 8978, 2423, 426, 20666, 8592, 28820, 13672, 1829, 12174, 1211, 8315, 23758, 3714, 9957, 5551, 5172, 11242, 1211, 1975, 46456, 3555, 9640, 46740, 15730, 25124, 17082, 1211, 22807], "avg_logprob": -0.2868923648364014, "compression_ratio": 1.4766839378238341, "no_speech_prob": 0.0, "words": [{"start": 908.16, "end": 908.66, "word": "بنروح", "probability": 0.7027587890625}, {"start": 908.66, "end": 909.32, "word": " ناخد", "probability": 0.978515625}, {"start": 909.32, "end": 909.78, "word": " the", "probability": 0.1737060546875}, {"start": 909.78, "end": 910.74, "word": " series", "probability": 0.908203125}, {"start": 910.74, "end": 912.5, "word": " of", "probability": 0.9599609375}, {"start": 912.5, "end": 914.02, "word": " absolute", "probability": 0.92724609375}, {"start": 914.02, "end": 916.4, "word": " values", "probability": 0.93994140625}, {"start": 916.4, "end": 917.16, "word": " as", "probability": 0.56982421875}, {"start": 917.16, "end": 918.46, "word": " summation", "probability": 0.8173828125}, {"start": 918.46, "end": 919.48, "word": " من", "probability": 0.966796875}, {"start": 919.48, "end": 919.76, "word": " N", "probability": 0.376220703125}, {"start": 919.76, "end": 920.28, "word": " equal", "probability": 0.341796875}, {"start": 920.28, "end": 920.64, "word": " one", "probability": 0.8232421875}, {"start": 920.64, "end": 920.88, "word": " to", "probability": 0.9580078125}, {"start": 920.88, "end": 921.66, "word": " infinity", "probability": 0.8564453125}, {"start": 921.66, "end": 923.38, "word": " للإثنين", "probability": 0.756640625}, {"start": 923.38, "end": 923.84, "word": " N", "probability": 0.88427734375}, {"start": 923.84, "end": 925.12, "word": " factorial", "probability": 0.69189453125}, {"start": 925.12, "end": 926.54, "word": " عالميا", "probability": 0.7522786458333334}, {"start": 926.54, "end": 927.36, "word": " على", "probability": 0.67626953125}, {"start": 927.36, "end": 928.16, "word": " الإثنين", "probability": 0.9202880859375}, {"start": 928.16, "end": 928.6, "word": " أُس", "probability": 0.6217447916666666}, {"start": 928.6, "end": 929.06, "word": " N", "probability": 0.94677734375}, {"start": 929.06, "end": 929.72, "word": " في", "probability": 0.767578125}, {"start": 929.72, "end": 929.98, "word": " ال", "probability": 0.88623046875}, {"start": 929.98, "end": 930.28, "word": " N", "probability": 0.7724609375}, {"start": 930.28, "end": 931.08, "word": " factorial", "probability": 0.7666015625}, {"start": 931.08, "end": 931.96, "word": " في", "probability": 0.75244140625}, {"start": 931.96, "end": 932.18, "word": " ال", "probability": 0.884765625}, {"start": 932.18, "end": 932.44, "word": " N", "probability": 0.40185546875}, {"start": 932.44, "end": 933.04, "word": " بالشكل", "probability": 0.9632161458333334}, {"start": 933.04, "end": 933.2, "word": " اللي", "probability": 0.96923828125}, {"start": 933.2, "end": 933.44, "word": " قلنا", "probability": 0.5263671875}, {"start": 933.44, "end": 933.84, "word": " هذا", "probability": 0.87939453125}, {"start": 933.84, "end": 935.38, "word": " مين", "probability": 0.813232421875}, {"start": 935.38, "end": 935.7, "word": " أفضل", "probability": 0.82366943359375}, {"start": 935.7, "end": 936.14, "word": " اختبار", "probability": 0.9569091796875}, {"start": 936.14, "end": 936.38, "word": " لهذا", "probability": 0.4378662109375}, {"start": 936.38, "end": 937.02, "word": " الشغل؟", "probability": 0.8876953125}], "temperature": 1.0}, {"id": 40, "seek": 96717, "start": 937.83, "end": 967.17, "text": "الراتيو يبجره تساوي ال limit لما ال N tends to infinity اه بده اشيل كل N واحق مكانها N زائد واحد يمشي بصير اتنين في N زائد واحد factorial على اتنين أس N زائد واحد في N زائد واحد factorial في N زائد واحد تقسيم", "tokens": [6027, 2288, 9307, 1829, 2407, 7251, 3555, 7435, 2288, 3224, 6055, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 1975, 3224, 47525, 3224, 1975, 8592, 26895, 28242, 426, 4032, 39319, 4587, 3714, 41361, 11296, 426, 30767, 16373, 3215, 36764, 24401, 7251, 2304, 8592, 1829, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 8978, 426, 30767, 16373, 3215, 36764, 24401, 36916, 15844, 1975, 2655, 1863, 9957, 5551, 3794, 426, 30767, 16373, 3215, 36764, 24401, 8978, 426, 30767, 16373, 3215, 36764, 24401, 36916, 8978, 426, 30767, 16373, 3215, 36764, 24401, 6055, 4587, 3794, 32640], "avg_logprob": -0.23600260339056453, "compression_ratio": 1.8579545454545454, "no_speech_prob": 0.0, "words": [{"start": 937.83, "end": 938.71, "word": "الراتيو", "probability": 0.5396728515625}, {"start": 938.71, "end": 939.89, "word": " يبجره", "probability": 0.8158203125}, {"start": 939.89, "end": 940.47, "word": " تساوي", "probability": 0.7333984375}, {"start": 940.47, "end": 940.61, "word": " ال", "probability": 0.50341796875}, {"start": 940.61, "end": 940.99, "word": " limit", "probability": 0.7666015625}, {"start": 940.99, "end": 941.75, "word": " لما", "probability": 0.871826171875}, {"start": 941.75, "end": 942.01, "word": " ال", "probability": 0.9658203125}, {"start": 942.01, "end": 942.19, "word": " N", "probability": 0.40087890625}, {"start": 942.19, "end": 942.57, "word": " tends", "probability": 0.56591796875}, {"start": 942.57, "end": 942.79, "word": " to", "probability": 0.9013671875}, {"start": 942.79, "end": 943.53, "word": " infinity", "probability": 0.828125}, {"start": 943.53, "end": 944.51, "word": " اه", "probability": 0.4727783203125}, {"start": 944.51, "end": 944.85, "word": " بده", "probability": 0.623046875}, {"start": 944.85, "end": 945.07, "word": " اشيل", "probability": 0.88232421875}, {"start": 945.07, "end": 945.39, "word": " كل", "probability": 0.95849609375}, {"start": 945.39, "end": 945.79, "word": " N", "probability": 0.95166015625}, {"start": 945.79, "end": 946.51, "word": " واحق", "probability": 0.67724609375}, {"start": 946.51, "end": 947.17, "word": " مكانها", "probability": 0.9827473958333334}, {"start": 947.17, "end": 947.69, "word": " N", "probability": 0.93359375}, {"start": 947.69, "end": 948.25, "word": " زائد", "probability": 0.7639973958333334}, {"start": 948.25, "end": 948.65, "word": " واحد", "probability": 0.905029296875}, {"start": 948.65, "end": 949.37, "word": " يمشي", "probability": 0.75128173828125}, {"start": 949.37, "end": 949.85, "word": " بصير", "probability": 0.77978515625}, {"start": 949.85, "end": 950.71, "word": " اتنين", "probability": 0.9544677734375}, {"start": 950.71, "end": 951.29, "word": " في", "probability": 0.646484375}, {"start": 951.29, "end": 951.75, "word": " N", "probability": 0.90869140625}, {"start": 951.75, "end": 952.75, "word": " زائد", "probability": 0.9754231770833334}, {"start": 952.75, "end": 953.51, "word": " واحد", "probability": 0.990966796875}, {"start": 953.51, "end": 954.41, "word": " factorial", "probability": 0.70166015625}, {"start": 954.41, "end": 955.65, "word": " على", "probability": 0.75146484375}, {"start": 955.65, "end": 957.11, "word": " اتنين", "probability": 0.98388671875}, {"start": 957.11, "end": 957.63, "word": " أس", "probability": 0.54443359375}, {"start": 957.63, "end": 958.01, "word": " N", "probability": 0.5380859375}, {"start": 958.01, "end": 958.67, "word": " زائد", "probability": 0.9698893229166666}, {"start": 958.67, "end": 959.33, "word": " واحد", "probability": 0.992919921875}, {"start": 959.33, "end": 959.97, "word": " في", "probability": 0.92822265625}, {"start": 959.97, "end": 960.47, "word": " N", "probability": 0.97216796875}, {"start": 960.47, "end": 961.49, "word": " زائد", "probability": 0.98779296875}, {"start": 961.49, "end": 962.03, "word": " واحد", "probability": 0.99560546875}, {"start": 962.03, "end": 962.95, "word": " factorial", "probability": 0.77880859375}, {"start": 962.95, "end": 963.63, "word": " في", "probability": 0.9384765625}, {"start": 963.63, "end": 964.11, "word": " N", "probability": 0.9775390625}, {"start": 964.11, "end": 965.19, "word": " زائد", "probability": 0.98681640625}, {"start": 965.19, "end": 965.83, "word": " واحد", "probability": 0.994140625}, {"start": 965.83, "end": 967.17, "word": " تقسيم", "probability": 0.9669189453125}], "temperature": 1.0}, {"id": 41, "seek": 98996, "start": 967.66, "end": 989.96, "text": "إتنين in factorial اتنين to the power in in factorial في ال in يبقى هذا بده يساوي limit لما ال in tends to infinity هذا يا شباب اللي هو عبارة عن اتنين in زائد اتنين factorial", "tokens": [28814, 2655, 1863, 9957, 294, 36916, 1975, 2655, 1863, 9957, 281, 264, 1347, 294, 294, 36916, 8978, 2423, 294, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3794, 995, 45865, 4948, 5296, 15042, 2423, 294, 12258, 281, 13202, 23758, 35186, 13412, 3555, 16758, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 1975, 2655, 1863, 9957, 294, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 36916], "avg_logprob": -0.2814903846153846, "compression_ratio": 1.5443037974683544, "no_speech_prob": 0.0, "words": [{"start": 967.66, "end": 968.52, "word": "إتنين", "probability": 0.6978607177734375}, {"start": 968.52, "end": 968.94, "word": " in", "probability": 0.06658935546875}, {"start": 968.94, "end": 969.88, "word": " factorial", "probability": 0.7744140625}, {"start": 969.88, "end": 971.22, "word": " اتنين", "probability": 0.86163330078125}, {"start": 971.22, "end": 971.46, "word": " to", "probability": 0.69970703125}, {"start": 971.46, "end": 971.72, "word": " the", "probability": 0.91650390625}, {"start": 971.72, "end": 972.18, "word": " power", "probability": 0.89013671875}, {"start": 972.18, "end": 972.74, "word": " in", "probability": 0.62060546875}, {"start": 972.74, "end": 973.54, "word": " in", "probability": 0.68798828125}, {"start": 973.54, "end": 974.48, "word": " factorial", "probability": 0.84619140625}, {"start": 974.48, "end": 975.18, "word": " في", "probability": 0.67919921875}, {"start": 975.18, "end": 975.36, "word": " ال", "probability": 0.94189453125}, {"start": 975.36, "end": 975.68, "word": " in", "probability": 0.2548828125}, {"start": 975.68, "end": 978.22, "word": " يبقى", "probability": 0.7154541015625}, {"start": 978.22, "end": 978.54, "word": " هذا", "probability": 0.95947265625}, {"start": 978.54, "end": 978.92, "word": " بده", "probability": 0.5062255859375}, {"start": 978.92, "end": 979.44, "word": " يساوي", "probability": 0.9296875}, {"start": 979.44, "end": 980.94, "word": " limit", "probability": 0.82763671875}, {"start": 980.94, "end": 981.96, "word": " لما", "probability": 0.946044921875}, {"start": 981.96, "end": 982.2, "word": " ال", "probability": 0.96337890625}, {"start": 982.2, "end": 982.52, "word": " in", "probability": 0.8310546875}, {"start": 982.52, "end": 982.92, "word": " tends", "probability": 0.77392578125}, {"start": 982.92, "end": 983.16, "word": " to", "probability": 0.9453125}, {"start": 983.16, "end": 983.78, "word": " infinity", "probability": 0.8701171875}, {"start": 983.78, "end": 984.78, "word": " هذا", "probability": 0.75537109375}, {"start": 984.78, "end": 984.96, "word": " يا", "probability": 0.68701171875}, {"start": 984.96, "end": 985.16, "word": " شباب", "probability": 0.9288736979166666}, {"start": 985.16, "end": 985.34, "word": " اللي", "probability": 0.796875}, {"start": 985.34, "end": 985.46, "word": " هو", "probability": 0.9716796875}, {"start": 985.46, "end": 985.84, "word": " عبارة", "probability": 0.97802734375}, {"start": 985.84, "end": 986.3, "word": " عن", "probability": 0.98388671875}, {"start": 986.3, "end": 987.18, "word": " اتنين", "probability": 0.857421875}, {"start": 987.18, "end": 987.66, "word": " in", "probability": 0.93359375}, {"start": 987.66, "end": 988.62, "word": " زائد", "probability": 0.744873046875}, {"start": 988.62, "end": 989.3, "word": " اتنين", "probability": 0.9813232421875}, {"start": 989.3, "end": 989.96, "word": " factorial", "probability": 0.71240234375}], "temperature": 1.0}, {"id": 42, "seek": 101744, "start": 990.56, "end": 1017.44, "text": "بدي افك هذا يبقى بدي يصير اللي هو اتنين N زائد اتنين اتنين N زائد واحد اتنين N factorial مقسوما على الاتنين في الاتنين أس M في ال N زائد واحد في ال N factorial في ال N زائد واحد", "tokens": [3555, 16254, 1975, 5172, 4117, 23758, 7251, 3555, 4587, 7578, 4724, 16254, 7251, 9381, 13546, 13672, 1829, 31439, 1975, 2655, 1863, 9957, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 426, 30767, 16373, 3215, 36764, 24401, 1975, 2655, 1863, 9957, 426, 36916, 3714, 4587, 3794, 2407, 15042, 15844, 2423, 9307, 1863, 9957, 8978, 2423, 9307, 1863, 9957, 5551, 3794, 376, 8978, 2423, 426, 30767, 16373, 3215, 36764, 24401, 8978, 2423, 426, 36916, 8978, 2423, 426, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.18805147479562198, "compression_ratio": 2.101449275362319, "no_speech_prob": 0.0, "words": [{"start": 990.56, "end": 991.0, "word": "بدي", "probability": 0.4893798828125}, {"start": 991.0, "end": 991.52, "word": " افك", "probability": 0.8219401041666666}, {"start": 991.52, "end": 992.06, "word": " هذا", "probability": 0.66552734375}, {"start": 992.06, "end": 992.98, "word": " يبقى", "probability": 0.8131103515625}, {"start": 992.98, "end": 993.32, "word": " بدي", "probability": 0.718994140625}, {"start": 993.32, "end": 994.02, "word": " يصير", "probability": 0.80224609375}, {"start": 994.02, "end": 994.7, "word": " اللي", "probability": 0.59033203125}, {"start": 994.7, "end": 994.9, "word": " هو", "probability": 0.93359375}, {"start": 994.9, "end": 995.62, "word": " اتنين", "probability": 0.79705810546875}, {"start": 995.62, "end": 996.12, "word": " N", "probability": 0.41748046875}, {"start": 996.12, "end": 997.4, "word": " زائد", "probability": 0.89013671875}, {"start": 997.4, "end": 998.08, "word": " اتنين", "probability": 0.986083984375}, {"start": 998.08, "end": 999.0, "word": " اتنين", "probability": 0.9295654296875}, {"start": 999.0, "end": 999.46, "word": " N", "probability": 0.96240234375}, {"start": 999.46, "end": 1000.6, "word": " زائد", "probability": 0.9674479166666666}, {"start": 1000.6, "end": 1001.28, "word": " واحد", "probability": 0.98779296875}, {"start": 1001.28, "end": 1002.36, "word": " اتنين", "probability": 0.989013671875}, {"start": 1002.36, "end": 1002.86, "word": " N", "probability": 0.93408203125}, {"start": 1002.86, "end": 1004.04, "word": " factorial", "probability": 0.6171875}, {"start": 1004.04, "end": 1005.28, "word": " مقسوما", "probability": 0.783203125}, {"start": 1005.28, "end": 1005.72, "word": " على", "probability": 0.7568359375}, {"start": 1005.72, "end": 1007.24, "word": " الاتنين", "probability": 0.841552734375}, {"start": 1007.24, "end": 1007.86, "word": " في", "probability": 0.6630859375}, {"start": 1007.86, "end": 1008.6, "word": " الاتنين", "probability": 0.9454345703125}, {"start": 1008.6, "end": 1009.14, "word": " أس", "probability": 0.4632568359375}, {"start": 1009.14, "end": 1009.6, "word": " M", "probability": 0.8720703125}, {"start": 1009.6, "end": 1010.38, "word": " في", "probability": 0.8603515625}, {"start": 1010.38, "end": 1010.64, "word": " ال", "probability": 0.927734375}, {"start": 1010.64, "end": 1011.0, "word": " N", "probability": 0.9423828125}, {"start": 1011.0, "end": 1011.96, "word": " زائد", "probability": 0.9807942708333334}, {"start": 1011.96, "end": 1012.64, "word": " واحد", "probability": 0.983642578125}, {"start": 1012.64, "end": 1013.24, "word": " في", "probability": 0.9677734375}, {"start": 1013.24, "end": 1013.54, "word": " ال", "probability": 0.9501953125}, {"start": 1013.54, "end": 1013.84, "word": " N", "probability": 0.830078125}, {"start": 1013.84, "end": 1014.9, "word": " factorial", "probability": 0.830078125}, {"start": 1014.9, "end": 1015.5, "word": " في", "probability": 0.974609375}, {"start": 1015.5, "end": 1015.72, "word": " ال", "probability": 0.9697265625}, {"start": 1015.72, "end": 1016.12, "word": " N", "probability": 0.92138671875}, {"start": 1016.12, "end": 1017.06, "word": " زائد", "probability": 0.98291015625}, {"start": 1017.06, "end": 1017.44, "word": " واحد", "probability": 0.988525390625}], "temperature": 1.0}, {"id": 43, "seek": 104263, "start": 1036.41, "end": 1042.63, "text": "يجب اختصار الاختصارات الموجودة في المسألة", "tokens": [1829, 7435, 3555, 1975, 46456, 9381, 9640, 2423, 47283, 2655, 9381, 9640, 9307, 9673, 29245, 23328, 3660, 8978, 9673, 3794, 10721, 37977], "avg_logprob": -0.34324050208796625, "compression_ratio": 1.203125, "no_speech_prob": 0.0, "words": [{"start": 1036.4099999999999, "end": 1037.81, "word": "يجب", "probability": 0.708984375}, {"start": 1037.81, "end": 1039.21, "word": " اختصار", "probability": 0.570159912109375}, {"start": 1039.21, "end": 1040.45, "word": " الاختصارات", "probability": 0.8411051432291666}, {"start": 1040.45, "end": 1041.53, "word": " الموجودة", "probability": 0.858642578125}, {"start": 1041.53, "end": 1041.79, "word": " في", "probability": 0.90966796875}, {"start": 1041.79, "end": 1042.63, "word": " المسألة", "probability": 0.88818359375}], "temperature": 1.0}, {"id": 44, "seek": 109081, "start": 1061.37, "end": 1090.81, "text": "تعني اختصر الاختصارات يبقى هذا مع هذا الله يسهل عليه و ال in factorial مع ال in factorial و اتنين to the power in مع اتنين to the power in فلعله للجثة ده هذا اللي هو اتنين في in زائد واحد يبقى in زائد واحد مع اتنين مع اتنين في in زائد واحد يعني الجثة ده راح كله بالمرة نهائية", "tokens": [2655, 3615, 22653, 1975, 46456, 9381, 2288, 42963, 46456, 9381, 9640, 9307, 7251, 3555, 4587, 7578, 23758, 20449, 23758, 21984, 7251, 3794, 3224, 1211, 47356, 4032, 2423, 294, 36916, 20449, 2423, 294, 36916, 4032, 1975, 2655, 1863, 9957, 281, 264, 1347, 294, 20449, 1975, 2655, 1863, 9957, 281, 264, 1347, 294, 6156, 1211, 30241, 3224, 24976, 7435, 12984, 3660, 11778, 3224, 23758, 13672, 1829, 31439, 1975, 2655, 1863, 9957, 8978, 294, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 294, 30767, 16373, 3215, 36764, 24401, 20449, 1975, 2655, 1863, 9957, 20449, 1975, 2655, 1863, 9957, 8978, 294, 30767, 16373, 3215, 36764, 24401, 37495, 22653, 25724, 12984, 3660, 11778, 3224, 12602, 39319, 28242, 3224, 20666, 2304, 25720, 8717, 3224, 16373, 10632], "avg_logprob": -0.19979508086794712, "compression_ratio": 2.217171717171717, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1061.37, "end": 1061.75, "word": "تعني", "probability": 0.51611328125}, {"start": 1061.75, "end": 1062.19, "word": " اختصر", "probability": 0.8756103515625}, {"start": 1062.19, "end": 1063.05, "word": " الاختصارات", "probability": 0.89814453125}, {"start": 1063.05, "end": 1063.89, "word": " يبقى", "probability": 0.8414306640625}, {"start": 1063.89, "end": 1064.35, "word": " هذا", "probability": 0.8095703125}, {"start": 1064.35, "end": 1064.81, "word": " مع", "probability": 0.8984375}, {"start": 1064.81, "end": 1065.05, "word": " هذا", "probability": 0.8994140625}, {"start": 1065.05, "end": 1065.23, "word": " الله", "probability": 0.83837890625}, {"start": 1065.23, "end": 1065.63, "word": " يسهل", "probability": 0.7818603515625}, {"start": 1065.63, "end": 1066.07, "word": " عليه", "probability": 0.98095703125}, {"start": 1066.07, "end": 1066.65, "word": " و", "probability": 0.371826171875}, {"start": 1066.65, "end": 1066.81, "word": " ال", "probability": 0.69482421875}, {"start": 1066.81, "end": 1067.01, "word": " in", "probability": 0.2734375}, {"start": 1067.01, "end": 1067.93, "word": " factorial", "probability": 0.814453125}, {"start": 1067.93, "end": 1068.63, "word": " مع", "probability": 0.9365234375}, {"start": 1068.63, "end": 1069.03, "word": " ال", "probability": 0.9423828125}, {"start": 1069.03, "end": 1069.33, "word": " in", "probability": 0.8125}, {"start": 1069.33, "end": 1070.43, "word": " factorial", "probability": 0.8505859375}, {"start": 1070.43, "end": 1071.19, "word": " و", "probability": 0.8681640625}, {"start": 1071.19, "end": 1071.71, "word": " اتنين", "probability": 0.8240966796875}, {"start": 1071.71, "end": 1071.99, "word": " to", "probability": 0.9150390625}, {"start": 1071.99, "end": 1072.25, "word": " the", "probability": 0.923828125}, {"start": 1072.25, "end": 1072.65, "word": " power", "probability": 0.9150390625}, {"start": 1072.65, "end": 1073.11, "word": " in", "probability": 0.57177734375}, {"start": 1073.11, "end": 1073.75, "word": " مع", "probability": 0.955078125}, {"start": 1073.75, "end": 1074.29, "word": " اتنين", "probability": 0.97509765625}, {"start": 1074.29, "end": 1074.53, "word": " to", "probability": 0.9521484375}, {"start": 1074.53, "end": 1074.81, "word": " the", "probability": 0.93310546875}, {"start": 1074.81, "end": 1075.19, "word": " power", "probability": 0.888671875}, {"start": 1075.19, "end": 1075.59, "word": " in", "probability": 0.8671875}, {"start": 1075.59, "end": 1076.45, "word": " فلعله", "probability": 0.55584716796875}, {"start": 1076.45, "end": 1077.03, "word": " للجثة", "probability": 0.82666015625}, {"start": 1077.03, "end": 1077.27, "word": " ده", "probability": 0.5240478515625}, {"start": 1077.27, "end": 1077.53, "word": " هذا", "probability": 0.324462890625}, {"start": 1077.53, "end": 1077.71, "word": " اللي", "probability": 0.9453125}, {"start": 1077.71, "end": 1077.89, "word": " هو", "probability": 0.955078125}, {"start": 1077.89, "end": 1078.69, "word": " اتنين", "probability": 0.9749755859375}, {"start": 1078.69, "end": 1079.01, "word": " في", "probability": 0.9140625}, {"start": 1079.01, "end": 1079.41, "word": " in", "probability": 0.607421875}, {"start": 1079.41, "end": 1080.03, "word": " زائد", "probability": 0.9283854166666666}, {"start": 1080.03, "end": 1080.57, "word": " واحد", "probability": 0.990234375}, {"start": 1080.57, "end": 1082.49, "word": " يبقى", "probability": 0.814697265625}, {"start": 1082.49, "end": 1082.77, "word": " in", "probability": 0.65625}, {"start": 1082.77, "end": 1083.23, "word": " زائد", "probability": 0.8655598958333334}, {"start": 1083.23, "end": 1083.69, "word": " واحد", "probability": 0.992919921875}, {"start": 1083.69, "end": 1084.01, "word": " مع", "probability": 0.98486328125}, {"start": 1084.01, "end": 1084.79, "word": " اتنين", "probability": 0.9892578125}, {"start": 1084.79, "end": 1085.43, "word": " مع", "probability": 0.837890625}, {"start": 1085.43, "end": 1086.05, "word": " اتنين", "probability": 0.991455078125}, {"start": 1086.05, "end": 1086.27, "word": " في", "probability": 0.9619140625}, {"start": 1086.27, "end": 1086.47, "word": " in", "probability": 0.85791015625}, {"start": 1086.47, "end": 1086.91, "word": " زائد", "probability": 0.8649088541666666}, {"start": 1086.91, "end": 1087.25, "word": " واحد", "probability": 0.993896484375}, {"start": 1087.25, "end": 1087.63, "word": " يعني", "probability": 0.904541015625}, {"start": 1087.63, "end": 1088.13, "word": " الجثة", "probability": 0.9794921875}, {"start": 1088.13, "end": 1088.43, "word": " ده", "probability": 0.920166015625}, {"start": 1088.43, "end": 1088.69, "word": " راح", "probability": 0.963134765625}, {"start": 1088.69, "end": 1089.07, "word": " كله", "probability": 0.9052734375}, {"start": 1089.07, "end": 1089.73, "word": " بالمرة", "probability": 0.8359375}, {"start": 1089.73, "end": 1090.81, "word": " نهائية", "probability": 0.9840087890625}], "temperature": 1.0}, {"id": 45, "seek": 111913, "start": 1091.35, "end": 1119.13, "text": "في اختصارات تانية يبعد الله يبقى صارة المسألة هي limit لما ال N tends to infinity ضايل عند هنا N على N زائد واحد يبقى هذه N على N زائد واحد وضايل عند هنا 2N زائد واحد في غيرهم مافيش اكتر من هيك قداش ال limit لهذا المقدار", "tokens": [41185, 1975, 46456, 9381, 9640, 9307, 6055, 7649, 10632, 7251, 3555, 22488, 21984, 7251, 3555, 4587, 7578, 20328, 9640, 3660, 9673, 3794, 10721, 37977, 39896, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 48812, 995, 26895, 43242, 34105, 426, 15844, 426, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 29538, 426, 15844, 426, 30767, 16373, 3215, 36764, 24401, 4032, 11242, 995, 26895, 43242, 34105, 568, 45, 30767, 16373, 3215, 36764, 24401, 8978, 32771, 13546, 16095, 19446, 41185, 8592, 1975, 4117, 2655, 2288, 9154, 39896, 4117, 12174, 3215, 33599, 2423, 4948, 46740, 15730, 9673, 28543, 9640], "avg_logprob": -0.20006443298969073, "compression_ratio": 1.814070351758794, "no_speech_prob": 0.0, "words": [{"start": 1091.35, "end": 1091.57, "word": "في", "probability": 0.2264404296875}, {"start": 1091.57, "end": 1092.29, "word": " اختصارات", "probability": 0.94619140625}, {"start": 1092.29, "end": 1092.79, "word": " تانية", "probability": 0.990234375}, {"start": 1092.79, "end": 1093.75, "word": " يبعد", "probability": 0.583984375}, {"start": 1093.75, "end": 1094.15, "word": " الله", "probability": 0.91748046875}, {"start": 1094.15, "end": 1094.91, "word": " يبقى", "probability": 0.863037109375}, {"start": 1094.91, "end": 1095.57, "word": " صارة", "probability": 0.7272135416666666}, {"start": 1095.57, "end": 1096.69, "word": " المسألة", "probability": 0.9678955078125}, {"start": 1096.69, "end": 1097.33, "word": " هي", "probability": 0.90087890625}, {"start": 1097.33, "end": 1097.87, "word": " limit", "probability": 0.79296875}, {"start": 1097.87, "end": 1098.75, "word": " لما", "probability": 0.88427734375}, {"start": 1098.75, "end": 1099.01, "word": " ال", "probability": 0.9658203125}, {"start": 1099.01, "end": 1099.33, "word": " N", "probability": 0.40625}, {"start": 1099.33, "end": 1099.81, "word": " tends", "probability": 0.6845703125}, {"start": 1099.81, "end": 1100.03, "word": " to", "probability": 0.92919921875}, {"start": 1100.03, "end": 1100.73, "word": " infinity", "probability": 0.833984375}, {"start": 1100.73, "end": 1101.79, "word": " ضايل", "probability": 0.7394205729166666}, {"start": 1101.79, "end": 1102.17, "word": " عند", "probability": 0.7607421875}, {"start": 1102.17, "end": 1102.65, "word": " هنا", "probability": 0.8037109375}, {"start": 1102.65, "end": 1103.27, "word": " N", "probability": 0.9052734375}, {"start": 1103.27, "end": 1103.85, "word": " على", "probability": 0.7802734375}, {"start": 1103.85, "end": 1104.17, "word": " N", "probability": 0.9697265625}, {"start": 1104.17, "end": 1104.61, "word": " زائد", "probability": 0.7693684895833334}, {"start": 1104.61, "end": 1105.05, "word": " واحد", "probability": 0.7880859375}, {"start": 1105.05, "end": 1105.55, "word": " يبقى", "probability": 0.9573974609375}, {"start": 1105.55, "end": 1105.87, "word": " هذه", "probability": 0.44677734375}, {"start": 1105.87, "end": 1106.29, "word": " N", "probability": 0.91748046875}, {"start": 1106.29, "end": 1107.03, "word": " على", "probability": 0.87451171875}, {"start": 1107.03, "end": 1107.53, "word": " N", "probability": 0.98828125}, {"start": 1107.53, "end": 1108.33, "word": " زائد", "probability": 0.8994140625}, {"start": 1108.33, "end": 1108.73, "word": " واحد", "probability": 0.97998046875}, {"start": 1108.73, "end": 1109.77, "word": " وضايل", "probability": 0.845703125}, {"start": 1109.77, "end": 1110.11, "word": " عند", "probability": 0.84716796875}, {"start": 1110.11, "end": 1110.67, "word": " هنا", "probability": 0.96875}, {"start": 1110.67, "end": 1111.97, "word": " 2N", "probability": 0.728271484375}, {"start": 1111.97, "end": 1113.17, "word": " زائد", "probability": 0.9620768229166666}, {"start": 1113.17, "end": 1113.65, "word": " واحد", "probability": 0.9765625}, {"start": 1113.65, "end": 1113.89, "word": " في", "probability": 0.432861328125}, {"start": 1113.89, "end": 1114.47, "word": " غيرهم", "probability": 0.97314453125}, {"start": 1114.47, "end": 1115.61, "word": " مافيش", "probability": 0.768798828125}, {"start": 1115.61, "end": 1115.93, "word": " اكتر", "probability": 0.919189453125}, {"start": 1115.93, "end": 1116.13, "word": " من", "probability": 0.982421875}, {"start": 1116.13, "end": 1116.51, "word": " هيك", "probability": 0.83251953125}, {"start": 1116.51, "end": 1117.33, "word": " قداش", "probability": 0.6680501302083334}, {"start": 1117.33, "end": 1117.55, "word": " ال", "probability": 0.69873046875}, {"start": 1117.55, "end": 1117.87, "word": " limit", "probability": 0.97314453125}, {"start": 1117.87, "end": 1118.39, "word": " لهذا", "probability": 0.97216796875}, {"start": 1118.39, "end": 1119.13, "word": " المقدار", "probability": 0.91845703125}], "temperature": 1.0}, {"id": 46, "seek": 114733, "start": 1119.91, "end": 1147.33, "text": "وقداش ال limit لهذا المقدار ب infinity يبقى هذا بيساوي واحد في infinity اللي هو القداش يبقى روز سوية قداش يبقى ال series of absolute values مالها by there يبقى هنا ال series of absolute values by there", "tokens": [2407, 28543, 33599, 2423, 4948, 46740, 15730, 9673, 28543, 9640, 4724, 13202, 7251, 3555, 4587, 7578, 23758, 4724, 1829, 3794, 995, 45865, 36764, 24401, 8978, 13202, 13672, 1829, 31439, 25062, 3215, 33599, 7251, 3555, 4587, 7578, 12602, 2407, 11622, 8608, 2407, 10632, 12174, 3215, 33599, 7251, 3555, 4587, 7578, 2423, 2638, 295, 8236, 4190, 19446, 1211, 11296, 538, 456, 7251, 3555, 4587, 7578, 34105, 2423, 2638, 295, 8236, 4190, 538, 456], "avg_logprob": -0.3248697908388244, "compression_ratio": 1.7654320987654322, "no_speech_prob": 0.0, "words": [{"start": 1119.91, "end": 1120.49, "word": "وقداش", "probability": 0.5479329427083334}, {"start": 1120.49, "end": 1120.67, "word": " ال", "probability": 0.1019287109375}, {"start": 1120.67, "end": 1120.93, "word": " limit", "probability": 0.44921875}, {"start": 1120.93, "end": 1121.35, "word": " لهذا", "probability": 0.950439453125}, {"start": 1121.35, "end": 1122.09, "word": " المقدار", "probability": 0.845703125}, {"start": 1122.09, "end": 1122.91, "word": " ب", "probability": 0.513671875}, {"start": 1122.91, "end": 1123.65, "word": " infinity", "probability": 0.333984375}, {"start": 1123.65, "end": 1124.21, "word": " يبقى", "probability": 0.899658203125}, {"start": 1124.21, "end": 1124.61, "word": " هذا", "probability": 0.8583984375}, {"start": 1124.61, "end": 1125.41, "word": " بيساوي", "probability": 0.597509765625}, {"start": 1125.41, "end": 1126.07, "word": " واحد", "probability": 0.942138671875}, {"start": 1126.07, "end": 1126.73, "word": " في", "probability": 0.6767578125}, {"start": 1126.73, "end": 1127.37, "word": " infinity", "probability": 0.7080078125}, {"start": 1127.37, "end": 1127.65, "word": " اللي", "probability": 0.8310546875}, {"start": 1127.65, "end": 1127.75, "word": " هو", "probability": 0.9765625}, {"start": 1127.75, "end": 1128.43, "word": " القداش", "probability": 0.753173828125}, {"start": 1128.43, "end": 1129.69, "word": " يبقى", "probability": 0.9249267578125}, {"start": 1129.69, "end": 1130.11, "word": " روز", "probability": 0.5919596354166666}, {"start": 1130.11, "end": 1130.39, "word": " سوية", "probability": 0.6617838541666666}, {"start": 1130.39, "end": 1131.13, "word": " قداش", "probability": 0.9552408854166666}, {"start": 1131.13, "end": 1132.27, "word": " يبقى", "probability": 0.965576171875}, {"start": 1132.27, "end": 1132.43, "word": " ال", "probability": 0.208984375}, {"start": 1132.43, "end": 1132.71, "word": " series", "probability": 0.91552734375}, {"start": 1132.71, "end": 1133.03, "word": " of", "probability": 0.970703125}, {"start": 1133.03, "end": 1133.87, "word": " absolute", "probability": 0.92626953125}, {"start": 1133.87, "end": 1134.45, "word": " values", "probability": 0.90673828125}, {"start": 1134.45, "end": 1135.01, "word": " مالها", "probability": 0.6834309895833334}, {"start": 1135.01, "end": 1135.87, "word": " by", "probability": 0.82177734375}, {"start": 1135.87, "end": 1136.37, "word": " there", "probability": 0.2359619140625}, {"start": 1136.37, "end": 1137.33, "word": " يبقى", "probability": 0.9818115234375}, {"start": 1137.33, "end": 1137.65, "word": " هنا", "probability": 0.984375}, {"start": 1137.65, "end": 1138.39, "word": " ال", "probability": 0.45166015625}, {"start": 1138.39, "end": 1139.81, "word": " series", "probability": 0.810546875}, {"start": 1139.81, "end": 1142.07, "word": " of", "probability": 0.953125}, {"start": 1142.07, "end": 1143.59, "word": " absolute", "probability": 0.95166015625}, {"start": 1143.59, "end": 1146.09, "word": " values", "probability": 0.96484375}, {"start": 1146.09, "end": 1146.99, "word": " by", "probability": 0.89013671875}, {"start": 1146.99, "end": 1147.33, "word": " there", "probability": 0.9072265625}], "temperature": 1.0}, {"id": 47, "seek": 116988, "start": 1148.58, "end": 1169.88, "text": "يبقى أين بدنا نروح؟ على الشروط الثلاثة خلّينا نجرب الشرط التالت أولا يبقى لو جينا للشرط التالت أنا عندي اتنين N factorial على اتنين أس N في ال N factorial في ال N", "tokens": [1829, 3555, 4587, 7578, 5551, 9957, 47525, 8315, 8717, 32887, 5016, 22807, 15844, 25124, 32887, 9566, 6024, 104, 1211, 5718, 104, 3660, 16490, 1211, 11703, 9957, 995, 8717, 7435, 25513, 25124, 2288, 9566, 16712, 6027, 2655, 5551, 12610, 995, 7251, 3555, 4587, 7578, 45164, 10874, 1829, 8315, 24976, 46309, 9566, 16712, 6027, 2655, 41850, 18871, 16254, 1975, 2655, 1863, 9957, 426, 36916, 15844, 1975, 2655, 1863, 9957, 5551, 3794, 426, 8978, 2423, 426, 36916, 8978, 2423, 426], "avg_logprob": -0.21394230329837555, "compression_ratio": 1.7532467532467533, "no_speech_prob": 0.0, "words": [{"start": 1148.58, "end": 1148.96, "word": "يبقى", "probability": 0.8292236328125}, {"start": 1148.96, "end": 1149.14, "word": " أين", "probability": 0.673583984375}, {"start": 1149.14, "end": 1149.42, "word": " بدنا", "probability": 0.892822265625}, {"start": 1149.42, "end": 1150.26, "word": " نروح؟", "probability": 0.9561767578125}, {"start": 1150.26, "end": 1151.54, "word": " على", "probability": 0.5947265625}, {"start": 1151.54, "end": 1152.26, "word": " الشروط", "probability": 0.92431640625}, {"start": 1152.26, "end": 1153.04, "word": " الثلاثة", "probability": 0.7956136067708334}, {"start": 1153.04, "end": 1153.62, "word": " خلّينا", "probability": 0.6775390625}, {"start": 1153.62, "end": 1154.3, "word": " نجرب", "probability": 0.9943033854166666}, {"start": 1154.3, "end": 1155.24, "word": " الشرط", "probability": 0.97021484375}, {"start": 1155.24, "end": 1155.9, "word": " التالت", "probability": 0.9352213541666666}, {"start": 1155.9, "end": 1156.72, "word": " أولا", "probability": 0.91845703125}, {"start": 1156.72, "end": 1157.56, "word": " يبقى", "probability": 0.8985595703125}, {"start": 1157.56, "end": 1157.78, "word": " لو", "probability": 0.9033203125}, {"start": 1157.78, "end": 1158.08, "word": " جينا", "probability": 0.7428385416666666}, {"start": 1158.08, "end": 1158.84, "word": " للشرط", "probability": 0.8846028645833334}, {"start": 1158.84, "end": 1159.56, "word": " التالت", "probability": 0.98828125}, {"start": 1159.56, "end": 1159.94, "word": " أنا", "probability": 0.60302734375}, {"start": 1159.94, "end": 1160.46, "word": " عندي", "probability": 0.7176513671875}, {"start": 1160.46, "end": 1161.2, "word": " اتنين", "probability": 0.83978271484375}, {"start": 1161.2, "end": 1161.76, "word": " N", "probability": 0.491455078125}, {"start": 1161.76, "end": 1162.84, "word": " factorial", "probability": 0.50244140625}, {"start": 1162.84, "end": 1164.12, "word": " على", "probability": 0.59716796875}, {"start": 1164.12, "end": 1165.44, "word": " اتنين", "probability": 0.9814453125}, {"start": 1165.44, "end": 1165.98, "word": " أس", "probability": 0.5419921875}, {"start": 1165.98, "end": 1166.46, "word": " N", "probability": 0.81640625}, {"start": 1166.46, "end": 1167.12, "word": " في", "probability": 0.7490234375}, {"start": 1167.12, "end": 1167.36, "word": " ال", "probability": 0.9130859375}, {"start": 1167.36, "end": 1167.72, "word": " N", "probability": 0.8037109375}, {"start": 1167.72, "end": 1168.62, "word": " factorial", "probability": 0.806640625}, {"start": 1168.62, "end": 1169.46, "word": " في", "probability": 0.95654296875}, {"start": 1169.46, "end": 1169.64, "word": " ال", "probability": 0.974609375}, {"start": 1169.64, "end": 1169.88, "word": " N", "probability": 0.95556640625}], "temperature": 1.0}, {"id": 48, "seek": 120061, "start": 1172.2, "end": 1200.62, "text": "بدي ال limit له لما ال n بدها تروح للمعلى نهائيا خلي بالكوا قعد هنا كويس الآن بدنا نبدأ نفكفك هالمثلة هذه مشان نقدر ناخد ال limit والله هي كده في غاية التعقيد ليش؟ ان في عندي factorial فوق وعندي factorial تحت وال factorial تبعد عن بعض كتير جاب المبدأ بتبسطك المثلة لو جينا يقولنا إن factorial ليه عشرة؟", "tokens": [3555, 16254, 2423, 4948, 46740, 5296, 15042, 2423, 297, 47525, 11296, 6055, 32887, 5016, 5296, 19528, 30241, 7578, 8717, 3224, 16373, 25528, 16490, 20292, 20666, 4117, 14407, 12174, 22488, 34105, 9122, 45865, 3794, 6024, 48506, 47525, 8315, 8717, 44510, 10721, 8717, 5172, 4117, 5172, 4117, 8032, 45340, 12984, 37977, 29538, 37893, 7649, 8717, 28543, 2288, 8717, 47283, 3215, 2423, 4948, 16070, 43761, 39896, 9122, 3215, 3224, 8978, 32771, 995, 10632, 16712, 3615, 4587, 25708, 32239, 8592, 22807, 16472, 8978, 18871, 16254, 36916, 6156, 30543, 4032, 3615, 1863, 16254, 36916, 6055, 33753, 16070, 36916, 6055, 3555, 22488, 18871, 45030, 11242, 9122, 2655, 13546, 10874, 16758, 9673, 44510, 10721, 39894, 3555, 3794, 9566, 4117, 9673, 12984, 37977, 45164, 10874, 1829, 8315, 7251, 39648, 8315, 36145, 36916, 32239, 3224, 6225, 8592, 25720, 22807], "avg_logprob": -0.3055820733536291, "compression_ratio": 1.8619402985074627, "no_speech_prob": 0.0, "words": [{"start": 1172.2, "end": 1172.6, "word": "بدي", "probability": 0.19073486328125}, {"start": 1172.6, "end": 1172.72, "word": " ال", "probability": 0.3515625}, {"start": 1172.72, "end": 1173.04, "word": " limit", "probability": 0.6943359375}, {"start": 1173.04, "end": 1173.5, "word": " له", "probability": 0.218994140625}, {"start": 1173.5, "end": 1174.36, "word": " لما", "probability": 0.86865234375}, {"start": 1174.36, "end": 1174.56, "word": " ال", "probability": 0.94384765625}, {"start": 1174.56, "end": 1174.74, "word": " n", "probability": 0.30224609375}, {"start": 1174.74, "end": 1175.1, "word": " بدها", "probability": 0.86328125}, {"start": 1175.1, "end": 1175.66, "word": " تروح", "probability": 0.9275716145833334}, {"start": 1175.66, "end": 1176.26, "word": " للمعلى", "probability": 0.518096923828125}, {"start": 1176.26, "end": 1176.72, "word": " نهائيا", "probability": 0.704833984375}, {"start": 1176.72, "end": 1177.42, "word": " خلي", "probability": 0.526123046875}, {"start": 1177.42, "end": 1177.8, "word": " بالكوا", "probability": 0.74755859375}, {"start": 1177.8, "end": 1177.96, "word": " قعد", "probability": 0.766845703125}, {"start": 1177.96, "end": 1178.14, "word": " هنا", "probability": 0.98486328125}, {"start": 1178.14, "end": 1178.58, "word": " كويس", "probability": 0.9892578125}, {"start": 1178.58, "end": 1179.7, "word": " الآن", "probability": 0.59979248046875}, {"start": 1179.7, "end": 1180.42, "word": " بدنا", "probability": 0.791015625}, {"start": 1180.42, "end": 1180.86, "word": " نبدأ", "probability": 0.9513346354166666}, {"start": 1180.86, "end": 1181.58, "word": " نفكفك", "probability": 0.7494140625}, {"start": 1181.58, "end": 1182.28, "word": " هالمثلة", "probability": 0.625}, {"start": 1182.28, "end": 1182.66, "word": " هذه", "probability": 0.46728515625}, {"start": 1182.66, "end": 1182.98, "word": " مشان", "probability": 0.39208984375}, {"start": 1182.98, "end": 1183.3, "word": " نقدر", "probability": 0.9510091145833334}, {"start": 1183.3, "end": 1183.6, "word": " ناخد", "probability": 0.9734700520833334}, {"start": 1183.6, "end": 1183.72, "word": " ال", "probability": 0.9482421875}, {"start": 1183.72, "end": 1183.98, "word": " limit", "probability": 0.97216796875}, {"start": 1183.98, "end": 1184.74, "word": " والله", "probability": 0.813720703125}, {"start": 1184.74, "end": 1184.96, "word": " هي", "probability": 0.9033203125}, {"start": 1184.96, "end": 1185.12, "word": " كده", "probability": 0.9109700520833334}, {"start": 1185.12, "end": 1185.3, "word": " في", "probability": 0.93310546875}, {"start": 1185.3, "end": 1185.78, "word": " غاية", "probability": 0.9827473958333334}, {"start": 1185.78, "end": 1186.52, "word": " التعقيد", "probability": 0.9722900390625}, {"start": 1186.52, "end": 1187.24, "word": " ليش؟", "probability": 0.71630859375}, {"start": 1187.24, "end": 1187.34, "word": " ان", "probability": 0.55224609375}, {"start": 1187.34, "end": 1187.54, "word": " في", "probability": 0.85498046875}, {"start": 1187.54, "end": 1187.9, "word": " عندي", "probability": 0.84375}, {"start": 1187.9, "end": 1188.46, "word": " factorial", "probability": 0.8662109375}, {"start": 1188.46, "end": 1189.06, "word": " فوق", "probability": 0.6282958984375}, {"start": 1189.06, "end": 1189.76, "word": " وعندي", "probability": 0.86279296875}, {"start": 1189.76, "end": 1190.42, "word": " factorial", "probability": 0.83349609375}, {"start": 1190.42, "end": 1190.96, "word": " تحت", "probability": 0.95751953125}, {"start": 1190.96, "end": 1191.74, "word": " وال", "probability": 0.51953125}, {"start": 1191.74, "end": 1192.42, "word": " factorial", "probability": 0.86279296875}, {"start": 1192.42, "end": 1193.1, "word": " تبعد", "probability": 0.7204996744791666}, {"start": 1193.1, "end": 1193.34, "word": " عن", "probability": 0.9921875}, {"start": 1193.34, "end": 1193.74, "word": " بعض", "probability": 0.997802734375}, {"start": 1193.74, "end": 1194.56, "word": " كتير", "probability": 0.9454752604166666}, {"start": 1194.56, "end": 1195.22, "word": " جاب", "probability": 0.67529296875}, {"start": 1195.22, "end": 1195.7, "word": " المبدأ", "probability": 0.85791015625}, {"start": 1195.7, "end": 1196.5, "word": " بتبسطك", "probability": 0.82431640625}, {"start": 1196.5, "end": 1197.12, "word": " المثلة", "probability": 0.97265625}, {"start": 1197.12, "end": 1198.02, "word": " لو", "probability": 0.86181640625}, {"start": 1198.02, "end": 1198.28, "word": " جينا", "probability": 0.98291015625}, {"start": 1198.28, "end": 1198.62, "word": " يقولنا", "probability": 0.8079427083333334}, {"start": 1198.62, "end": 1198.84, "word": " إن", "probability": 0.27001953125}, {"start": 1198.84, "end": 1199.5, "word": " factorial", "probability": 0.7587890625}, {"start": 1199.5, "end": 1199.92, "word": " ليه", "probability": 0.621337890625}, {"start": 1199.92, "end": 1200.62, "word": " عشرة؟", "probability": 0.8878173828125}], "temperature": 1.0}, {"id": 49, "seek": 122402, "start": 1201.36, "end": 1224.02, "text": "مش هي عبارة عن factorial ال 2 في خمسة في خمسة، مظبوط ولا لا؟ يبقى تبصير كأنه 2N، ال N مين قادر مكانها؟ اللي هو الخمسة، صحيح ولا لا؟ يبقى بقدر أقول عشرة في تسعة في تمانية في سبعة في ستة في مضروب الخمسة، مظبوط؟", "tokens": [2304, 8592, 39896, 6225, 3555, 9640, 3660, 18871, 36916, 2423, 568, 8978, 16490, 2304, 3794, 3660, 8978, 16490, 2304, 3794, 3660, 12399, 3714, 19913, 3555, 2407, 9566, 49429, 20193, 22807, 7251, 3555, 4587, 7578, 6055, 3555, 9381, 13546, 9122, 33456, 3224, 568, 45, 12399, 2423, 426, 3714, 9957, 12174, 18513, 2288, 3714, 41361, 11296, 22807, 13672, 1829, 31439, 33962, 2304, 3794, 3660, 12399, 20328, 5016, 1829, 5016, 49429, 20193, 22807, 7251, 3555, 4587, 7578, 4724, 28543, 2288, 5551, 39648, 6225, 8592, 25720, 8978, 6055, 3794, 27884, 8978, 46811, 7649, 10632, 8978, 8608, 3555, 27884, 8978, 8608, 2655, 3660, 8978, 3714, 11242, 32887, 3555, 33962, 2304, 3794, 3660, 12399, 3714, 19913, 3555, 2407, 9566, 22807], "avg_logprob": -0.18872282997421597, "compression_ratio": 1.8223350253807107, "no_speech_prob": 0.0, "words": [{"start": 1201.36, "end": 1201.7, "word": "مش", "probability": 0.4609375}, {"start": 1201.7, "end": 1201.96, "word": " هي", "probability": 0.90185546875}, {"start": 1201.96, "end": 1202.68, "word": " عبارة", "probability": 0.993408203125}, {"start": 1202.68, "end": 1203.2, "word": " عن", "probability": 0.99267578125}, {"start": 1203.2, "end": 1203.88, "word": " factorial", "probability": 0.467041015625}, {"start": 1203.88, "end": 1204.16, "word": " ال", "probability": 0.256591796875}, {"start": 1204.16, "end": 1204.46, "word": " 2", "probability": 0.3740234375}, {"start": 1204.46, "end": 1204.62, "word": " في", "probability": 0.52099609375}, {"start": 1204.62, "end": 1205.4, "word": " خمسة", "probability": 0.779449462890625}, {"start": 1205.4, "end": 1206.66, "word": " في", "probability": 0.287353515625}, {"start": 1206.66, "end": 1207.7, "word": " خمسة،", "probability": 0.841748046875}, {"start": 1207.7, "end": 1208.08, "word": " مظبوط", "probability": 0.8865234375}, {"start": 1208.08, "end": 1208.2, "word": " ولا", "probability": 0.85888671875}, {"start": 1208.2, "end": 1208.96, "word": " لا؟", "probability": 0.778564453125}, {"start": 1208.96, "end": 1209.38, "word": " يبقى", "probability": 0.863037109375}, {"start": 1209.38, "end": 1209.86, "word": " تبصير", "probability": 0.619140625}, {"start": 1209.86, "end": 1210.34, "word": " كأنه", "probability": 0.9280598958333334}, {"start": 1210.34, "end": 1211.74, "word": " 2N،", "probability": 0.57421875}, {"start": 1211.74, "end": 1211.86, "word": " ال", "probability": 0.9892578125}, {"start": 1211.86, "end": 1212.12, "word": " N", "probability": 0.59130859375}, {"start": 1212.12, "end": 1212.36, "word": " مين", "probability": 0.77392578125}, {"start": 1212.36, "end": 1212.66, "word": " قادر", "probability": 0.71630859375}, {"start": 1212.66, "end": 1213.72, "word": " مكانها؟", "probability": 0.9627685546875}, {"start": 1213.72, "end": 1213.82, "word": " اللي", "probability": 0.7447509765625}, {"start": 1213.82, "end": 1213.9, "word": " هو", "probability": 0.98486328125}, {"start": 1213.9, "end": 1214.8, "word": " الخمسة،", "probability": 0.942578125}, {"start": 1214.8, "end": 1215.14, "word": " صحيح", "probability": 0.9842529296875}, {"start": 1215.14, "end": 1215.28, "word": " ولا", "probability": 0.97705078125}, {"start": 1215.28, "end": 1216.06, "word": " لا؟", "probability": 0.860595703125}, {"start": 1216.06, "end": 1216.36, "word": " يبقى", "probability": 0.9901123046875}, {"start": 1216.36, "end": 1216.72, "word": " بقدر", "probability": 0.9329427083333334}, {"start": 1216.72, "end": 1217.18, "word": " أقول", "probability": 0.799072265625}, {"start": 1217.18, "end": 1218.12, "word": " عشرة", "probability": 0.86328125}, {"start": 1218.12, "end": 1218.32, "word": " في", "probability": 0.88330078125}, {"start": 1218.32, "end": 1218.88, "word": " تسعة", "probability": 0.98828125}, {"start": 1218.88, "end": 1219.08, "word": " في", "probability": 0.99267578125}, {"start": 1219.08, "end": 1219.62, "word": " تمانية", "probability": 0.9724934895833334}, {"start": 1219.62, "end": 1219.8, "word": " في", "probability": 0.99609375}, {"start": 1219.8, "end": 1220.26, "word": " سبعة", "probability": 0.9830729166666666}, {"start": 1220.26, "end": 1220.52, "word": " في", "probability": 0.99609375}, {"start": 1220.52, "end": 1221.18, "word": " ستة", "probability": 0.953125}, {"start": 1221.18, "end": 1221.38, "word": " في", "probability": 0.96337890625}, {"start": 1221.38, "end": 1222.0, "word": " مضروب", "probability": 0.9600830078125}, {"start": 1222.0, "end": 1223.54, "word": " الخمسة،", "probability": 0.97275390625}, {"start": 1223.54, "end": 1224.02, "word": " مظبوط؟", "probability": 0.9772135416666666}], "temperature": 1.0}, {"id": 50, "seek": 124614, "start": 1224.72, "end": 1246.14, "text": "خُد بالك كويس، أنا بقول مضروب العشرة، يعني مضروب اتنين في خمسة، يعني زي مضروب اتنين M، بدي أوصلها إلى مضروب ال M فلما أقول مضروب العشرة، بقول مضروب اتنين في خمسة، تسعة في تمانية في سبعة في ستة في مضروب الخمسة", "tokens": [9778, 10859, 3215, 20666, 4117, 9122, 45865, 3794, 12399, 41850, 4724, 39648, 3714, 11242, 32887, 3555, 18863, 8592, 25720, 12399, 37495, 22653, 3714, 11242, 32887, 3555, 1975, 2655, 1863, 9957, 8978, 16490, 2304, 3794, 3660, 12399, 37495, 22653, 30767, 1829, 3714, 11242, 32887, 3555, 1975, 2655, 1863, 9957, 376, 12399, 4724, 16254, 34051, 36520, 11296, 30731, 3714, 11242, 32887, 3555, 2423, 376, 6156, 1211, 15042, 5551, 39648, 3714, 11242, 32887, 3555, 18863, 8592, 25720, 12399, 4724, 39648, 3714, 11242, 32887, 3555, 1975, 2655, 1863, 9957, 8978, 16490, 2304, 3794, 3660, 12399, 6055, 3794, 27884, 8978, 46811, 7649, 10632, 8978, 8608, 3555, 27884, 8978, 8608, 2655, 3660, 8978, 3714, 11242, 32887, 3555, 33962, 2304, 3794, 3660], "avg_logprob": -0.10546875218379087, "compression_ratio": 2.391025641025641, "no_speech_prob": 0.0, "words": [{"start": 1224.72, "end": 1225.08, "word": "خُد", "probability": 0.5157063802083334}, {"start": 1225.08, "end": 1225.46, "word": " بالك", "probability": 0.8935546875}, {"start": 1225.46, "end": 1226.12, "word": " كويس،", "probability": 0.8778076171875}, {"start": 1226.12, "end": 1226.3, "word": " أنا", "probability": 0.6943359375}, {"start": 1226.3, "end": 1226.62, "word": " بقول", "probability": 0.97900390625}, {"start": 1226.62, "end": 1227.0, "word": " مضروب", "probability": 0.96728515625}, {"start": 1227.0, "end": 1227.7, "word": " العشرة،", "probability": 0.866943359375}, {"start": 1227.7, "end": 1227.84, "word": " يعني", "probability": 0.938720703125}, {"start": 1227.84, "end": 1228.3, "word": " مضروب", "probability": 0.975341796875}, {"start": 1228.3, "end": 1229.06, "word": " اتنين", "probability": 0.84283447265625}, {"start": 1229.06, "end": 1229.28, "word": " في", "probability": 0.98095703125}, {"start": 1229.28, "end": 1230.3, "word": " خمسة،", "probability": 0.92177734375}, {"start": 1230.3, "end": 1230.72, "word": " يعني", "probability": 0.93701171875}, {"start": 1230.72, "end": 1231.04, "word": " زي", "probability": 0.980224609375}, {"start": 1231.04, "end": 1231.6, "word": " مضروب", "probability": 0.9862060546875}, {"start": 1231.6, "end": 1232.6, "word": " اتنين", "probability": 0.9791259765625}, {"start": 1232.6, "end": 1233.6, "word": " M،", "probability": 0.703125}, {"start": 1233.6, "end": 1233.98, "word": " بدي", "probability": 0.78466796875}, {"start": 1233.98, "end": 1234.88, "word": " أوصلها", "probability": 0.8308919270833334}, {"start": 1234.88, "end": 1235.18, "word": " إلى", "probability": 0.5517578125}, {"start": 1235.18, "end": 1235.86, "word": " مضروب", "probability": 0.9849853515625}, {"start": 1235.86, "end": 1236.08, "word": " ال", "probability": 0.9833984375}, {"start": 1236.08, "end": 1236.46, "word": " M", "probability": 0.52978515625}, {"start": 1236.46, "end": 1237.36, "word": " فلما", "probability": 0.7613932291666666}, {"start": 1237.36, "end": 1237.62, "word": " أقول", "probability": 0.7880859375}, {"start": 1237.62, "end": 1238.08, "word": " مضروب", "probability": 0.97509765625}, {"start": 1238.08, "end": 1238.66, "word": " العشرة،", "probability": 0.93798828125}, {"start": 1238.66, "end": 1238.96, "word": " بقول", "probability": 0.96484375}, {"start": 1238.96, "end": 1239.46, "word": " مضروب", "probability": 0.982421875}, {"start": 1239.46, "end": 1239.92, "word": " اتنين", "probability": 0.9874267578125}, {"start": 1239.92, "end": 1240.08, "word": " في", "probability": 0.99658203125}, {"start": 1240.08, "end": 1241.06, "word": " خمسة،", "probability": 0.97392578125}, {"start": 1241.06, "end": 1241.66, "word": " تسعة", "probability": 0.9259440104166666}, {"start": 1241.66, "end": 1241.9, "word": " في", "probability": 0.87060546875}, {"start": 1241.9, "end": 1242.62, "word": " تمانية", "probability": 0.9791666666666666}, {"start": 1242.62, "end": 1242.88, "word": " في", "probability": 0.9580078125}, {"start": 1242.88, "end": 1243.52, "word": " سبعة", "probability": 0.97998046875}, {"start": 1243.52, "end": 1243.78, "word": " في", "probability": 0.97998046875}, {"start": 1243.78, "end": 1244.34, "word": " ستة", "probability": 0.9923502604166666}, {"start": 1244.34, "end": 1244.52, "word": " في", "probability": 0.91796875}, {"start": 1244.52, "end": 1245.24, "word": " مضروب", "probability": 0.9901123046875}, {"start": 1245.24, "end": 1246.14, "word": " الخمسة", "probability": 0.984375}], "temperature": 1.0}, {"id": 51, "seek": 125484, "start": 1246.57, "end": 1254.85, "text": "يرجع مضروب اتنين ان بقدر افكفه لغاية ما اوصل لمين؟ لل N factorial اللي هو مضروب ال N", "tokens": [1829, 47341, 3615, 3714, 11242, 32887, 3555, 1975, 2655, 1863, 9957, 16472, 4724, 28543, 2288, 1975, 5172, 4117, 5172, 3224, 5296, 17082, 995, 10632, 19446, 1975, 2407, 36520, 5296, 2304, 9957, 22807, 24976, 426, 36916, 13672, 1829, 31439, 3714, 11242, 32887, 3555, 2423, 426], "avg_logprob": -0.3597222142749362, "compression_ratio": 1.2727272727272727, "no_speech_prob": 0.0, "words": [{"start": 1246.57, "end": 1247.05, "word": "يرجع", "probability": 0.4274088541666667}, {"start": 1247.05, "end": 1247.53, "word": " مضروب", "probability": 0.8250732421875}, {"start": 1247.53, "end": 1248.13, "word": " اتنين", "probability": 0.82855224609375}, {"start": 1248.13, "end": 1248.47, "word": " ان", "probability": 0.244140625}, {"start": 1248.47, "end": 1249.11, "word": " بقدر", "probability": 0.88427734375}, {"start": 1249.11, "end": 1250.01, "word": " افكفه", "probability": 0.72685546875}, {"start": 1250.01, "end": 1250.47, "word": " لغاية", "probability": 0.9764404296875}, {"start": 1250.47, "end": 1250.61, "word": " ما", "probability": 0.83349609375}, {"start": 1250.61, "end": 1250.97, "word": " اوصل", "probability": 0.85009765625}, {"start": 1250.97, "end": 1251.93, "word": " لمين؟", "probability": 0.58447265625}, {"start": 1251.93, "end": 1252.39, "word": " لل", "probability": 0.68505859375}, {"start": 1252.39, "end": 1252.91, "word": " N", "probability": 0.392822265625}, {"start": 1252.91, "end": 1253.63, "word": " factorial", "probability": 0.35986328125}, {"start": 1253.63, "end": 1253.85, "word": " اللي", "probability": 0.7119140625}, {"start": 1253.85, "end": 1253.97, "word": " هو", "probability": 0.95849609375}, {"start": 1253.97, "end": 1254.43, "word": " مضروب", "probability": 0.986083984375}, {"start": 1254.43, "end": 1254.59, "word": " ال", "probability": 0.93212890625}, {"start": 1254.59, "end": 1254.85, "word": " N", "probability": 0.85205078125}], "temperature": 1.0}, {"id": 52, "seek": 128058, "start": 1256.22, "end": 1280.58, "text": "طب بدأ اكتب وشوفوا الكتاب دي صح وحطر عليكم بعض الأسئلة كذلك يبجى هذا اللي اجيت قلت اتنين N فاتنين N ناقص واحد فاتنين N ناقص اتنين وضليت ماشي لغاية ال N زائد واحد في ال N factorial على الشغل هذا صح هيك؟", "tokens": [9566, 3555, 47525, 10721, 1975, 4117, 2655, 3555, 4032, 8592, 38688, 14407, 33251, 2655, 16758, 11778, 1829, 20328, 5016, 4032, 5016, 9566, 2288, 25894, 24793, 45030, 11242, 16247, 3794, 19986, 37977, 9122, 8848, 23275, 7251, 3555, 7435, 7578, 23758, 13672, 1829, 1975, 7435, 36081, 12174, 1211, 2655, 1975, 2655, 1863, 9957, 426, 6156, 9307, 1863, 9957, 426, 8717, 995, 4587, 9381, 36764, 24401, 6156, 9307, 1863, 9957, 426, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4032, 11242, 20292, 2655, 3714, 33599, 1829, 5296, 17082, 995, 10632, 2423, 426, 30767, 16373, 3215, 36764, 24401, 8978, 2423, 426, 36916, 15844, 25124, 17082, 1211, 23758, 20328, 5016, 39896, 4117, 22807], "avg_logprob": -0.2214736205722214, "compression_ratio": 1.7213930348258706, "no_speech_prob": 0.0, "words": [{"start": 1256.22, "end": 1256.54, "word": "طب", "probability": 0.582763671875}, {"start": 1256.54, "end": 1256.86, "word": " بدأ", "probability": 0.6063232421875}, {"start": 1256.86, "end": 1257.42, "word": " اكتب", "probability": 0.9188232421875}, {"start": 1257.42, "end": 1257.8, "word": " وشوفوا", "probability": 0.720703125}, {"start": 1257.8, "end": 1258.24, "word": " الكتاب", "probability": 0.8135579427083334}, {"start": 1258.24, "end": 1258.42, "word": " دي", "probability": 0.6297607421875}, {"start": 1258.42, "end": 1258.86, "word": " صح", "probability": 0.966064453125}, {"start": 1258.86, "end": 1259.78, "word": " وحطر", "probability": 0.66265869140625}, {"start": 1259.78, "end": 1260.28, "word": " عليكم", "probability": 0.856201171875}, {"start": 1260.28, "end": 1260.72, "word": " بعض", "probability": 0.947265625}, {"start": 1260.72, "end": 1261.3, "word": " الأسئلة", "probability": 0.9459228515625}, {"start": 1261.3, "end": 1261.98, "word": " كذلك", "probability": 0.9638671875}, {"start": 1261.98, "end": 1263.0, "word": " يبجى", "probability": 0.62640380859375}, {"start": 1263.0, "end": 1263.24, "word": " هذا", "probability": 0.40869140625}, {"start": 1263.24, "end": 1263.44, "word": " اللي", "probability": 0.593017578125}, {"start": 1263.44, "end": 1263.8, "word": " اجيت", "probability": 0.60498046875}, {"start": 1263.8, "end": 1264.5, "word": " قلت", "probability": 0.8689778645833334}, {"start": 1264.5, "end": 1265.26, "word": " اتنين", "probability": 0.85430908203125}, {"start": 1265.26, "end": 1265.66, "word": " N", "probability": 0.4169921875}, {"start": 1265.66, "end": 1266.6, "word": " فاتنين", "probability": 0.74383544921875}, {"start": 1266.6, "end": 1266.9, "word": " N", "probability": 0.94189453125}, {"start": 1266.9, "end": 1267.38, "word": " ناقص", "probability": 0.9464111328125}, {"start": 1267.38, "end": 1267.86, "word": " واحد", "probability": 0.98486328125}, {"start": 1267.86, "end": 1268.88, "word": " فاتنين", "probability": 0.9185791015625}, {"start": 1268.88, "end": 1269.32, "word": " N", "probability": 0.97021484375}, {"start": 1269.32, "end": 1270.0, "word": " ناقص", "probability": 0.99365234375}, {"start": 1270.0, "end": 1270.52, "word": " اتنين", "probability": 0.9840087890625}, {"start": 1270.52, "end": 1271.7, "word": " وضليت", "probability": 0.84423828125}, {"start": 1271.7, "end": 1272.24, "word": " ماشي", "probability": 0.9529622395833334}, {"start": 1272.24, "end": 1272.76, "word": " لغاية", "probability": 0.9881591796875}, {"start": 1272.76, "end": 1273.08, "word": " ال", "probability": 0.94873046875}, {"start": 1273.08, "end": 1273.4, "word": " N", "probability": 0.939453125}, {"start": 1273.4, "end": 1274.08, "word": " زائد", "probability": 0.8844401041666666}, {"start": 1274.08, "end": 1274.74, "word": " واحد", "probability": 0.95849609375}, {"start": 1274.74, "end": 1275.02, "word": " في", "probability": 0.5400390625}, {"start": 1275.02, "end": 1275.24, "word": " ال", "probability": 0.8984375}, {"start": 1275.24, "end": 1275.62, "word": " N", "probability": 0.93603515625}, {"start": 1275.62, "end": 1276.48, "word": " factorial", "probability": 0.63525390625}, {"start": 1276.48, "end": 1276.92, "word": " على", "probability": 0.39892578125}, {"start": 1276.92, "end": 1279.44, "word": " الشغل", "probability": 0.8889973958333334}, {"start": 1279.44, "end": 1279.66, "word": " هذا", "probability": 0.83642578125}, {"start": 1279.66, "end": 1279.98, "word": " صح", "probability": 0.98974609375}, {"start": 1279.98, "end": 1280.58, "word": " هيك؟", "probability": 0.8870442708333334}], "temperature": 1.0}, {"id": 53, "seek": 130201, "start": 1282.85, "end": 1302.01, "text": "تنين N نقص واحد تنين N نقص اتنين تنين N نقص ثلاثة تنين N نقص اربعة بليت ماشي لغاية جابل ال N factorial المقدار واحد اللي هو مين N زي واحد كيف زي واحد؟ اتنين في خمسة", "tokens": [2655, 1863, 9957, 426, 8717, 4587, 9381, 36764, 24401, 6055, 1863, 9957, 426, 8717, 4587, 9381, 1975, 2655, 1863, 9957, 6055, 1863, 9957, 426, 8717, 4587, 9381, 38637, 1211, 5718, 104, 3660, 6055, 1863, 9957, 426, 8717, 4587, 9381, 1975, 25513, 27884, 4724, 20292, 2655, 3714, 33599, 1829, 5296, 17082, 995, 10632, 10874, 16758, 1211, 2423, 426, 36916, 9673, 28543, 9640, 36764, 24401, 13672, 1829, 31439, 3714, 9957, 426, 30767, 1829, 36764, 24401, 9122, 33911, 30767, 1829, 36764, 24401, 22807, 1975, 2655, 1863, 9957, 8978, 16490, 2304, 3794, 3660], "avg_logprob": -0.2447916598783599, "compression_ratio": 1.8466666666666667, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1282.85, "end": 1283.41, "word": "تنين", "probability": 0.4375}, {"start": 1283.41, "end": 1283.75, "word": " N", "probability": 0.283447265625}, {"start": 1283.75, "end": 1285.13, "word": " نقص", "probability": 0.8260091145833334}, {"start": 1285.13, "end": 1285.69, "word": " واحد", "probability": 0.904296875}, {"start": 1285.69, "end": 1286.41, "word": " تنين", "probability": 0.7942708333333334}, {"start": 1286.41, "end": 1286.55, "word": " N", "probability": 0.9033203125}, {"start": 1286.55, "end": 1286.99, "word": " نقص", "probability": 0.9778645833333334}, {"start": 1286.99, "end": 1287.47, "word": " اتنين", "probability": 0.9522705078125}, {"start": 1287.47, "end": 1287.85, "word": " تنين", "probability": 0.9430338541666666}, {"start": 1287.85, "end": 1287.97, "word": " N", "probability": 0.93798828125}, {"start": 1287.97, "end": 1288.35, "word": " نقص", "probability": 0.97802734375}, {"start": 1288.35, "end": 1288.89, "word": " ثلاثة", "probability": 0.91328125}, {"start": 1288.89, "end": 1289.19, "word": " تنين", "probability": 0.9695638020833334}, {"start": 1289.19, "end": 1289.33, "word": " N", "probability": 0.986328125}, {"start": 1289.33, "end": 1289.69, "word": " نقص", "probability": 0.9905598958333334}, {"start": 1289.69, "end": 1290.15, "word": " اربعة", "probability": 0.7486979166666666}, {"start": 1290.15, "end": 1291.17, "word": " بليت", "probability": 0.5299479166666666}, {"start": 1291.17, "end": 1291.65, "word": " ماشي", "probability": 0.9254557291666666}, {"start": 1291.65, "end": 1292.31, "word": " لغاية", "probability": 0.98583984375}, {"start": 1292.31, "end": 1292.93, "word": " جابل", "probability": 0.7103678385416666}, {"start": 1292.93, "end": 1293.51, "word": " ال", "probability": 0.9599609375}, {"start": 1293.51, "end": 1293.79, "word": " N", "probability": 0.84716796875}, {"start": 1293.79, "end": 1294.35, "word": " factorial", "probability": 0.52099609375}, {"start": 1294.35, "end": 1294.93, "word": " المقدار", "probability": 0.8199869791666666}, {"start": 1294.93, "end": 1295.23, "word": " واحد", "probability": 0.9873046875}, {"start": 1295.23, "end": 1295.37, "word": " اللي", "probability": 0.91357421875}, {"start": 1295.37, "end": 1295.53, "word": " هو", "probability": 0.92041015625}, {"start": 1295.53, "end": 1295.97, "word": " مين", "probability": 0.90478515625}, {"start": 1295.97, "end": 1296.67, "word": " N", "probability": 0.5146484375}, {"start": 1296.67, "end": 1297.03, "word": " زي", "probability": 0.62890625}, {"start": 1297.03, "end": 1297.39, "word": " واحد", "probability": 0.853759765625}, {"start": 1297.39, "end": 1297.99, "word": " كيف", "probability": 0.6075439453125}, {"start": 1297.99, "end": 1298.17, "word": " زي", "probability": 0.9189453125}, {"start": 1298.17, "end": 1298.55, "word": " واحد؟", "probability": 0.6907958984375}, {"start": 1298.55, "end": 1301.03, "word": " اتنين", "probability": 0.64605712890625}, {"start": 1301.03, "end": 1301.21, "word": " في", "probability": 0.89697265625}, {"start": 1301.21, "end": 1302.01, "word": " خمسة", "probability": 0.986083984375}], "temperature": 1.0}, {"id": 54, "seek": 132230, "start": 1304.18, "end": 1322.3, "text": "عشرة تسعة تمانية سبعة هدف ستة في مضمون الخمسة مظبوط يبقى ضليت أنزل أنزل لغاية ما وصلت قبل ال N برقم له N زاد واحد اللي بعده بيجي N factorial طب ليش سويت هيك؟", "tokens": [3615, 8592, 25720, 6055, 3794, 27884, 46811, 7649, 10632, 8608, 3555, 27884, 8032, 3215, 5172, 8608, 2655, 3660, 8978, 3714, 11242, 2304, 11536, 33962, 2304, 3794, 3660, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 48812, 20292, 2655, 14739, 11622, 1211, 14739, 11622, 1211, 5296, 17082, 995, 10632, 19446, 4032, 36520, 2655, 12174, 36150, 2423, 426, 4724, 2288, 4587, 2304, 46740, 426, 30767, 18513, 36764, 24401, 13672, 1829, 39182, 3224, 4724, 1829, 7435, 1829, 426, 36916, 23032, 3555, 32239, 8592, 8608, 2407, 36081, 39896, 4117, 22807], "avg_logprob": -0.19992897710339588, "compression_ratio": 1.469945355191257, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1304.18, "end": 1304.9, "word": "عشرة", "probability": 0.6868489583333334}, {"start": 1304.9, "end": 1305.9, "word": " تسعة", "probability": 0.8473307291666666}, {"start": 1305.9, "end": 1306.96, "word": " تمانية", "probability": 0.9562174479166666}, {"start": 1306.96, "end": 1307.92, "word": " سبعة", "probability": 0.8800455729166666}, {"start": 1307.92, "end": 1308.82, "word": " هدف", "probability": 0.7032063802083334}, {"start": 1308.82, "end": 1309.64, "word": " ستة", "probability": 0.9723307291666666}, {"start": 1309.64, "end": 1309.76, "word": " في", "probability": 0.65234375}, {"start": 1309.76, "end": 1310.16, "word": " مضمون", "probability": 0.7178955078125}, {"start": 1310.16, "end": 1311.1, "word": " الخمسة", "probability": 0.9666748046875}, {"start": 1311.1, "end": 1311.7, "word": " مظبوط", "probability": 0.760546875}, {"start": 1311.7, "end": 1312.34, "word": " يبقى", "probability": 0.8604736328125}, {"start": 1312.34, "end": 1312.88, "word": " ضليت", "probability": 0.6272786458333334}, {"start": 1312.88, "end": 1313.3, "word": " أنزل", "probability": 0.8527018229166666}, {"start": 1313.3, "end": 1313.68, "word": " أنزل", "probability": 0.8631184895833334}, {"start": 1313.68, "end": 1314.0, "word": " لغاية", "probability": 0.9866943359375}, {"start": 1314.0, "end": 1314.14, "word": " ما", "probability": 0.66650390625}, {"start": 1314.14, "end": 1314.68, "word": " وصلت", "probability": 0.9679361979166666}, {"start": 1314.68, "end": 1315.04, "word": " قبل", "probability": 0.79443359375}, {"start": 1315.04, "end": 1315.28, "word": " ال", "probability": 0.97705078125}, {"start": 1315.28, "end": 1315.54, "word": " N", "probability": 0.48291015625}, {"start": 1315.54, "end": 1316.3, "word": " برقم", "probability": 0.992431640625}, {"start": 1316.3, "end": 1316.78, "word": " له", "probability": 0.378173828125}, {"start": 1316.78, "end": 1317.18, "word": " N", "probability": 0.8994140625}, {"start": 1317.18, "end": 1317.52, "word": " زاد", "probability": 0.626220703125}, {"start": 1317.52, "end": 1317.7, "word": " واحد", "probability": 0.973388671875}, {"start": 1317.7, "end": 1317.96, "word": " اللي", "probability": 0.9140625}, {"start": 1317.96, "end": 1318.54, "word": " بعده", "probability": 0.9423828125}, {"start": 1318.54, "end": 1319.18, "word": " بيجي", "probability": 0.977783203125}, {"start": 1319.18, "end": 1319.48, "word": " N", "probability": 0.96240234375}, {"start": 1319.48, "end": 1320.34, "word": " factorial", "probability": 0.634765625}, {"start": 1320.34, "end": 1321.0, "word": " طب", "probability": 0.837890625}, {"start": 1321.0, "end": 1321.3, "word": " ليش", "probability": 0.884765625}, {"start": 1321.3, "end": 1321.76, "word": " سويت", "probability": 0.87890625}, {"start": 1321.76, "end": 1322.3, "word": " هيك؟", "probability": 0.86572265625}], "temperature": 1.0}, {"id": 55, "seek": 134660, "start": 1322.34, "end": 1346.6, "text": "لأن في المقام في عندي N factorial لكي تتم الاختصارات فيما بينهم طيب بدي أجي للمقام المقام هذا اتنين في اتنين أس N ناقص واحد ليش عملت هيك؟ لكي الاتنين تدعي أختصرهم مع بعض في اتنين N ناقص واحد في ال N factorial في ال N", "tokens": [1211, 33456, 8978, 9673, 4587, 10943, 8978, 18871, 16254, 426, 36916, 5296, 4117, 1829, 6055, 39237, 2423, 47283, 2655, 9381, 9640, 9307, 8978, 15042, 49374, 16095, 23032, 1829, 3555, 4724, 16254, 5551, 7435, 1829, 5296, 19528, 4587, 10943, 9673, 4587, 10943, 23758, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 5551, 3794, 426, 8717, 995, 4587, 9381, 36764, 24401, 32239, 8592, 6225, 42213, 2655, 39896, 4117, 22807, 5296, 4117, 1829, 2423, 9307, 1863, 9957, 6055, 3215, 3615, 1829, 5551, 46456, 9381, 2288, 16095, 20449, 45030, 11242, 8978, 1975, 2655, 1863, 9957, 426, 8717, 995, 4587, 9381, 36764, 24401, 8978, 2423, 426, 36916, 8978, 2423, 426], "avg_logprob": -0.3066588863034115, "compression_ratio": 1.905759162303665, "no_speech_prob": 0.0, "words": [{"start": 1322.34, "end": 1322.84, "word": "لأن", "probability": 0.5948486328125}, {"start": 1322.84, "end": 1323.04, "word": " في", "probability": 0.8408203125}, {"start": 1323.04, "end": 1323.72, "word": " المقام", "probability": 0.9695638020833334}, {"start": 1323.72, "end": 1323.94, "word": " في", "probability": 0.26025390625}, {"start": 1323.94, "end": 1324.4, "word": " عندي", "probability": 0.679931640625}, {"start": 1324.4, "end": 1324.78, "word": " N", "probability": 0.426025390625}, {"start": 1324.78, "end": 1325.56, "word": " factorial", "probability": 0.368896484375}, {"start": 1325.56, "end": 1326.26, "word": " لكي", "probability": 0.6314290364583334}, {"start": 1326.26, "end": 1326.68, "word": " تتم", "probability": 0.5211181640625}, {"start": 1326.68, "end": 1327.78, "word": " الاختصارات", "probability": 0.8741455078125}, {"start": 1327.78, "end": 1328.3, "word": " فيما", "probability": 0.594970703125}, {"start": 1328.3, "end": 1329.22, "word": " بينهم", "probability": 0.969970703125}, {"start": 1329.22, "end": 1330.02, "word": " طيب", "probability": 0.5836588541666666}, {"start": 1330.02, "end": 1330.26, "word": " بدي", "probability": 0.33245849609375}, {"start": 1330.26, "end": 1330.5, "word": " أجي", "probability": 0.6541341145833334}, {"start": 1330.5, "end": 1331.34, "word": " للمقام", "probability": 0.864990234375}, {"start": 1331.34, "end": 1332.74, "word": " المقام", "probability": 0.9036458333333334}, {"start": 1332.74, "end": 1333.58, "word": " هذا", "probability": 0.6845703125}, {"start": 1333.58, "end": 1334.34, "word": " اتنين", "probability": 0.8251953125}, {"start": 1334.34, "end": 1334.62, "word": " في", "probability": 0.7099609375}, {"start": 1334.62, "end": 1335.18, "word": " اتنين", "probability": 0.96826171875}, {"start": 1335.18, "end": 1335.64, "word": " أس", "probability": 0.6165771484375}, {"start": 1335.64, "end": 1335.96, "word": " N", "probability": 0.67041015625}, {"start": 1335.96, "end": 1336.48, "word": " ناقص", "probability": 0.9388427734375}, {"start": 1336.48, "end": 1336.9, "word": " واحد", "probability": 0.9853515625}, {"start": 1336.9, "end": 1337.82, "word": " ليش", "probability": 0.6597900390625}, {"start": 1337.82, "end": 1338.32, "word": " عملت", "probability": 0.9337565104166666}, {"start": 1338.32, "end": 1338.74, "word": " هيك؟", "probability": 0.67431640625}, {"start": 1338.74, "end": 1338.98, "word": " لكي", "probability": 0.8798828125}, {"start": 1338.98, "end": 1339.44, "word": " الاتنين", "probability": 0.75238037109375}, {"start": 1339.44, "end": 1339.9, "word": " تدعي", "probability": 0.63690185546875}, {"start": 1339.9, "end": 1340.88, "word": " أختصرهم", "probability": 0.7953125}, {"start": 1340.88, "end": 1341.06, "word": " مع", "probability": 0.91015625}, {"start": 1341.06, "end": 1341.5, "word": " بعض", "probability": 0.993408203125}, {"start": 1341.5, "end": 1341.96, "word": " في", "probability": 0.61328125}, {"start": 1341.96, "end": 1342.36, "word": " اتنين", "probability": 0.9359130859375}, {"start": 1342.36, "end": 1342.6, "word": " N", "probability": 0.93798828125}, {"start": 1342.6, "end": 1343.08, "word": " ناقص", "probability": 0.9891357421875}, {"start": 1343.08, "end": 1343.56, "word": " واحد", "probability": 0.9853515625}, {"start": 1343.56, "end": 1343.88, "word": " في", "probability": 0.83056640625}, {"start": 1343.88, "end": 1344.12, "word": " ال", "probability": 0.68310546875}, {"start": 1344.12, "end": 1344.4, "word": " N", "probability": 0.93115234375}, {"start": 1344.4, "end": 1345.3, "word": " factorial", "probability": 0.84326171875}, {"start": 1345.3, "end": 1345.86, "word": " في", "probability": 0.93701171875}, {"start": 1345.86, "end": 1346.24, "word": " ال", "probability": 0.943359375}, {"start": 1346.24, "end": 1346.6, "word": " N", "probability": 0.9267578125}], "temperature": 1.0}, {"id": 56, "seek": 137007, "start": 1350.73, "end": 1370.07, "text": "سؤال اللي بتقفحه، كم عدد هذه العناصر من هنا لغاية هنا؟ سيبك من ال N factorial، جبل ال N factorial، عندك ال N زائد واحد للخلق، جدش عددهم هدول؟ ان زائد واحد ولا N؟", "tokens": [3794, 33604, 6027, 13672, 1829, 39894, 4587, 5172, 5016, 3224, 12399, 9122, 2304, 6225, 3215, 3215, 29538, 18863, 8315, 9381, 2288, 9154, 34105, 5296, 17082, 995, 10632, 34105, 22807, 8608, 1829, 3555, 4117, 9154, 2423, 426, 36916, 12399, 10874, 36150, 2423, 426, 36916, 12399, 43242, 4117, 2423, 426, 30767, 16373, 3215, 36764, 24401, 24976, 9778, 1211, 4587, 12399, 10874, 3215, 8592, 6225, 3215, 3215, 16095, 8032, 3215, 12610, 22807, 16472, 30767, 16373, 3215, 36764, 24401, 49429, 426, 22807], "avg_logprob": -0.2996439828148371, "compression_ratio": 1.6181818181818182, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1350.73, "end": 1351.55, "word": "سؤال", "probability": 0.6948649088541666}, {"start": 1351.55, "end": 1351.65, "word": " اللي", "probability": 0.5687255859375}, {"start": 1351.65, "end": 1352.65, "word": " بتقفحه،", "probability": 0.6360677083333334}, {"start": 1352.65, "end": 1353.45, "word": " كم", "probability": 0.827880859375}, {"start": 1353.45, "end": 1354.03, "word": " عدد", "probability": 0.9873046875}, {"start": 1354.03, "end": 1354.55, "word": " هذه", "probability": 0.97314453125}, {"start": 1354.55, "end": 1355.59, "word": " العناصر", "probability": 0.8648681640625}, {"start": 1355.59, "end": 1355.99, "word": " من", "probability": 0.82568359375}, {"start": 1355.99, "end": 1356.47, "word": " هنا", "probability": 0.99072265625}, {"start": 1356.47, "end": 1357.13, "word": " لغاية", "probability": 0.9791259765625}, {"start": 1357.13, "end": 1359.99, "word": " هنا؟", "probability": 0.888671875}, {"start": 1359.99, "end": 1360.63, "word": " سيبك", "probability": 0.8289794921875}, {"start": 1360.63, "end": 1360.79, "word": " من", "probability": 0.9814453125}, {"start": 1360.79, "end": 1360.99, "word": " ال", "probability": 0.324462890625}, {"start": 1360.99, "end": 1361.01, "word": " N", "probability": 0.400390625}, {"start": 1361.01, "end": 1361.81, "word": " factorial،", "probability": 0.5321044921875}, {"start": 1361.81, "end": 1362.13, "word": " جبل", "probability": 0.7841796875}, {"start": 1362.13, "end": 1362.29, "word": " ال", "probability": 0.919921875}, {"start": 1362.29, "end": 1362.47, "word": " N", "probability": 0.95849609375}, {"start": 1362.47, "end": 1362.89, "word": " factorial،", "probability": 0.802490234375}, {"start": 1362.89, "end": 1363.25, "word": " عندك", "probability": 0.41656494140625}, {"start": 1363.25, "end": 1363.33, "word": " ال", "probability": 0.7841796875}, {"start": 1363.33, "end": 1363.59, "word": " N", "probability": 0.90966796875}, {"start": 1363.59, "end": 1364.07, "word": " زائد", "probability": 0.80078125}, {"start": 1364.07, "end": 1364.47, "word": " واحد", "probability": 0.90234375}, {"start": 1364.47, "end": 1365.43, "word": " للخلق،", "probability": 0.866015625}, {"start": 1365.43, "end": 1365.73, "word": " جدش", "probability": 0.626708984375}, {"start": 1365.73, "end": 1366.19, "word": " عددهم", "probability": 0.9815673828125}, {"start": 1366.19, "end": 1368.41, "word": " هدول؟", "probability": 0.8377685546875}, {"start": 1368.41, "end": 1368.69, "word": " ان", "probability": 0.306884765625}, {"start": 1368.69, "end": 1369.01, "word": " زائد", "probability": 0.76513671875}, {"start": 1369.01, "end": 1369.31, "word": " واحد", "probability": 0.993896484375}, {"start": 1369.31, "end": 1369.51, "word": " ولا", "probability": 0.59228515625}, {"start": 1369.51, "end": 1370.07, "word": " N؟", "probability": 0.871826171875}], "temperature": 1.0}, {"id": 57, "seek": 138667, "start": 1371.45, "end": 1386.67, "text": "نقص واحد يعني واحد بيقول ان زي الواحد وواحد بيقول ان واحد بيقول ان ناقص واحد، ماتترش على حل حق ان بخمسة زي ما قولت على كل بده عدلي عشرة تسعة تمانية سبعة ستة", "tokens": [1863, 4587, 9381, 36764, 24401, 37495, 22653, 36764, 24401, 4724, 1829, 39648, 16472, 30767, 1829, 2423, 14407, 24401, 4032, 14407, 24401, 4724, 1829, 39648, 16472, 36764, 24401, 4724, 1829, 39648, 16472, 8717, 995, 4587, 9381, 36764, 24401, 12399, 3714, 9307, 2655, 2288, 8592, 15844, 11331, 1211, 11331, 4587, 16472, 4724, 9778, 2304, 3794, 3660, 30767, 1829, 19446, 12174, 12610, 2655, 15844, 28242, 47525, 3224, 6225, 3215, 20292, 6225, 8592, 25720, 6055, 3794, 27884, 46811, 7649, 10632, 8608, 3555, 27884, 8608, 2655, 3660], "avg_logprob": -0.2737198687461485, "compression_ratio": 1.9928571428571429, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1371.4499999999998, "end": 1372.09, "word": "نقص", "probability": 0.6389567057291666}, {"start": 1372.09, "end": 1372.51, "word": " واحد", "probability": 0.95849609375}, {"start": 1372.51, "end": 1372.93, "word": " يعني", "probability": 0.891845703125}, {"start": 1372.93, "end": 1373.23, "word": " واحد", "probability": 0.97021484375}, {"start": 1373.23, "end": 1373.49, "word": " بيقول", "probability": 0.8326822916666666}, {"start": 1373.49, "end": 1373.63, "word": " ان", "probability": 0.462646484375}, {"start": 1373.63, "end": 1373.89, "word": " زي", "probability": 0.9013671875}, {"start": 1373.89, "end": 1374.23, "word": " الواحد", "probability": 0.9373372395833334}, {"start": 1374.23, "end": 1374.61, "word": " وواحد", "probability": 0.69384765625}, {"start": 1374.61, "end": 1374.89, "word": " بيقول", "probability": 0.9850260416666666}, {"start": 1374.89, "end": 1375.11, "word": " ان", "probability": 0.8818359375}, {"start": 1375.11, "end": 1375.37, "word": " واحد", "probability": 0.8671875}, {"start": 1375.37, "end": 1375.67, "word": " بيقول", "probability": 0.9798177083333334}, {"start": 1375.67, "end": 1375.91, "word": " ان", "probability": 0.77587890625}, {"start": 1375.91, "end": 1376.31, "word": " ناقص", "probability": 0.8675537109375}, {"start": 1376.31, "end": 1376.97, "word": " واحد،", "probability": 0.7633463541666666}, {"start": 1376.97, "end": 1377.49, "word": " ماتترش", "probability": 0.6541015625}, {"start": 1377.49, "end": 1377.69, "word": " على", "probability": 0.76708984375}, {"start": 1377.69, "end": 1378.07, "word": " حل", "probability": 0.89453125}, {"start": 1378.07, "end": 1378.91, "word": " حق", "probability": 0.57373046875}, {"start": 1378.91, "end": 1379.15, "word": " ان", "probability": 0.8359375}, {"start": 1379.15, "end": 1379.73, "word": " بخمسة", "probability": 0.9693359375}, {"start": 1379.73, "end": 1379.85, "word": " زي", "probability": 0.97021484375}, {"start": 1379.85, "end": 1379.95, "word": " ما", "probability": 0.806640625}, {"start": 1379.95, "end": 1380.13, "word": " قولت", "probability": 0.5375162760416666}, {"start": 1380.13, "end": 1380.25, "word": " على", "probability": 0.1993408203125}, {"start": 1380.25, "end": 1380.35, "word": " كل", "probability": 0.8330078125}, {"start": 1380.35, "end": 1380.61, "word": " بده", "probability": 0.27862548828125}, {"start": 1380.61, "end": 1381.05, "word": " عدلي", "probability": 0.7691243489583334}, {"start": 1381.05, "end": 1382.33, "word": " عشرة", "probability": 0.82275390625}, {"start": 1382.33, "end": 1383.59, "word": " تسعة", "probability": 0.92822265625}, {"start": 1383.59, "end": 1384.83, "word": " تمانية", "probability": 0.9816080729166666}, {"start": 1384.83, "end": 1385.73, "word": " سبعة", "probability": 0.94921875}, {"start": 1385.73, "end": 1386.67, "word": " ستة", "probability": 0.9856770833333334}], "temperature": 1.0}, {"id": 58, "seek": 140270, "start": 1387.02, "end": 1402.7, "text": "وصلنا لمبادئه بالخمسة يبقى قد إيش عددهم؟ خمسة اللي هو نصهم يبقى هذول قد إيش عددهم؟ in terms يبقى هذول عددهم in terms يبقى هذول in من الحدود", "tokens": [2407, 36520, 8315, 5296, 2304, 3555, 18513, 19986, 3224, 20666, 9778, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 12174, 3215, 11933, 1829, 8592, 6225, 3215, 3215, 16095, 22807, 16490, 2304, 3794, 3660, 13672, 1829, 31439, 8717, 9381, 16095, 7251, 3555, 4587, 7578, 8032, 8848, 12610, 12174, 3215, 11933, 1829, 8592, 6225, 3215, 3215, 16095, 22807, 294, 2115, 7251, 3555, 4587, 7578, 8032, 8848, 12610, 6225, 3215, 3215, 16095, 294, 2115, 7251, 3555, 4587, 7578, 8032, 8848, 12610, 294, 9154, 21542, 3215, 23328], "avg_logprob": -0.21743223501975278, "compression_ratio": 1.8359375, "no_speech_prob": 0.0, "words": [{"start": 1387.02, "end": 1387.64, "word": "وصلنا", "probability": 0.6993815104166666}, {"start": 1387.64, "end": 1388.06, "word": " لمبادئه", "probability": 0.4202677408854167}, {"start": 1388.06, "end": 1388.46, "word": " بالخمسة", "probability": 0.8818359375}, {"start": 1388.46, "end": 1388.54, "word": " يبقى", "probability": 0.64898681640625}, {"start": 1388.54, "end": 1388.62, "word": " قد", "probability": 0.578857421875}, {"start": 1388.62, "end": 1388.76, "word": " إيش", "probability": 0.673095703125}, {"start": 1388.76, "end": 1389.48, "word": " عددهم؟", "probability": 0.9501953125}, {"start": 1389.48, "end": 1390.3, "word": " خمسة", "probability": 0.936767578125}, {"start": 1390.3, "end": 1390.44, "word": " اللي", "probability": 0.958251953125}, {"start": 1390.44, "end": 1390.58, "word": " هو", "probability": 0.8759765625}, {"start": 1390.58, "end": 1391.32, "word": " نصهم", "probability": 0.8294270833333334}, {"start": 1391.32, "end": 1392.04, "word": " يبقى", "probability": 0.8175048828125}, {"start": 1392.04, "end": 1392.32, "word": " هذول", "probability": 0.8133138020833334}, {"start": 1392.32, "end": 1392.52, "word": " قد", "probability": 0.94921875}, {"start": 1392.52, "end": 1392.7, "word": " إيش", "probability": 0.9913736979166666}, {"start": 1392.7, "end": 1394.2, "word": " عددهم؟", "probability": 0.976953125}, {"start": 1394.2, "end": 1394.58, "word": " in", "probability": 0.8310546875}, {"start": 1394.58, "end": 1395.62, "word": " terms", "probability": 0.912109375}, {"start": 1395.62, "end": 1396.5, "word": " يبقى", "probability": 0.967041015625}, {"start": 1396.5, "end": 1397.0, "word": " هذول", "probability": 0.9840494791666666}, {"start": 1397.0, "end": 1397.82, "word": " عددهم", "probability": 0.926025390625}, {"start": 1397.82, "end": 1398.52, "word": " in", "probability": 0.89453125}, {"start": 1398.52, "end": 1399.56, "word": " terms", "probability": 0.94580078125}, {"start": 1399.56, "end": 1400.44, "word": " يبقى", "probability": 0.9813232421875}, {"start": 1400.44, "end": 1400.94, "word": " هذول", "probability": 0.994140625}, {"start": 1400.94, "end": 1401.6, "word": " in", "probability": 0.72216796875}, {"start": 1401.6, "end": 1401.96, "word": " من", "probability": 0.96435546875}, {"start": 1401.96, "end": 1402.7, "word": " الحدود", "probability": 0.9925130208333334}], "temperature": 1.0}, {"id": 59, "seek": 142017, "start": 1403.31, "end": 1420.17, "text": "طبعا هذا كلام له وما بعده إذا عرفت أن عددهم يستوي N يبقى مشكلتي شبه الحلة يبقى فاجي بقول N factorial مع N factorial اتنين N علي اتنين N هنا", "tokens": [9566, 3555, 3615, 995, 23758, 28242, 10943, 46740, 4032, 15042, 39182, 3224, 11933, 15730, 6225, 28480, 2655, 14739, 6225, 3215, 3215, 16095, 7251, 14851, 45865, 426, 7251, 3555, 4587, 7578, 37893, 28820, 31371, 13412, 3555, 3224, 21542, 1211, 3660, 7251, 3555, 4587, 7578, 6156, 26108, 1829, 4724, 39648, 426, 36916, 20449, 426, 36916, 1975, 2655, 1863, 9957, 426, 25894, 1975, 2655, 1863, 9957, 426, 34105], "avg_logprob": -0.22999526199066278, "compression_ratio": 1.516778523489933, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1403.31, "end": 1404.67, "word": "طبعا", "probability": 0.76922607421875}, {"start": 1404.67, "end": 1404.85, "word": " هذا", "probability": 0.84130859375}, {"start": 1404.85, "end": 1405.27, "word": " كلام", "probability": 0.743896484375}, {"start": 1405.27, "end": 1405.49, "word": " له", "probability": 0.88818359375}, {"start": 1405.49, "end": 1405.69, "word": " وما", "probability": 0.73486328125}, {"start": 1405.69, "end": 1406.25, "word": " بعده", "probability": 0.95361328125}, {"start": 1406.25, "end": 1406.79, "word": " إذا", "probability": 0.7015380859375}, {"start": 1406.79, "end": 1407.15, "word": " عرفت", "probability": 0.9690755208333334}, {"start": 1407.15, "end": 1407.27, "word": " أن", "probability": 0.45751953125}, {"start": 1407.27, "end": 1407.75, "word": " عددهم", "probability": 0.73248291015625}, {"start": 1407.75, "end": 1408.43, "word": " يستوي", "probability": 0.7298177083333334}, {"start": 1408.43, "end": 1408.59, "word": " N", "probability": 0.42333984375}, {"start": 1408.59, "end": 1408.95, "word": " يبقى", "probability": 0.9310302734375}, {"start": 1408.95, "end": 1409.69, "word": " مشكلتي", "probability": 0.96142578125}, {"start": 1409.69, "end": 1410.49, "word": " شبه", "probability": 0.9700520833333334}, {"start": 1410.49, "end": 1411.17, "word": " الحلة", "probability": 0.700439453125}, {"start": 1411.17, "end": 1411.99, "word": " يبقى", "probability": 0.93896484375}, {"start": 1411.99, "end": 1412.37, "word": " فاجي", "probability": 0.5552571614583334}, {"start": 1412.37, "end": 1412.85, "word": " بقول", "probability": 0.943603515625}, {"start": 1412.85, "end": 1413.41, "word": " N", "probability": 0.8056640625}, {"start": 1413.41, "end": 1414.27, "word": " factorial", "probability": 0.61962890625}, {"start": 1414.27, "end": 1414.63, "word": " مع", "probability": 0.95263671875}, {"start": 1414.63, "end": 1414.97, "word": " N", "probability": 0.974609375}, {"start": 1414.97, "end": 1415.75, "word": " factorial", "probability": 0.85498046875}, {"start": 1415.75, "end": 1417.27, "word": " اتنين", "probability": 0.882568359375}, {"start": 1417.27, "end": 1417.89, "word": " N", "probability": 0.78173828125}, {"start": 1417.89, "end": 1418.47, "word": " علي", "probability": 0.434326171875}, {"start": 1418.47, "end": 1419.25, "word": " اتنين", "probability": 0.9769287109375}, {"start": 1419.25, "end": 1419.75, "word": " N", "probability": 0.900390625}, {"start": 1419.75, "end": 1420.17, "word": " هنا", "probability": 0.986328125}], "temperature": 1.0}, {"id": 60, "seek": 144906, "start": 1420.92, "end": 1449.06, "text": "تمام؟ يبقى هذا الكلام بده يساوي اتنين M ناقص واحد في اتنين N ناقص اتنين وضلت ماشي لغاية ال N زائد واحد على الاتنين أس M ماقص واحد لا يزال السؤال قائم كم عدد الأقوس اللي في ال bus هذي", "tokens": [2655, 15042, 2304, 22807, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 376, 8717, 995, 4587, 9381, 36764, 24401, 8978, 1975, 2655, 1863, 9957, 426, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4032, 11242, 1211, 2655, 3714, 33599, 1829, 5296, 17082, 995, 10632, 2423, 426, 30767, 16373, 3215, 36764, 24401, 15844, 2423, 9307, 1863, 9957, 5551, 3794, 376, 19446, 4587, 9381, 36764, 24401, 20193, 7251, 11622, 6027, 21136, 33604, 6027, 12174, 16373, 2304, 9122, 2304, 6225, 3215, 3215, 16247, 4587, 41779, 13672, 1829, 8978, 2423, 1255, 8032, 8848, 1829], "avg_logprob": -0.20173267267718173, "compression_ratio": 1.7666666666666666, "no_speech_prob": 0.0, "words": [{"start": 1420.92, "end": 1421.94, "word": "تمام؟", "probability": 0.554229736328125}, {"start": 1421.94, "end": 1422.42, "word": " يبقى", "probability": 0.923828125}, {"start": 1422.42, "end": 1422.7, "word": " هذا", "probability": 0.9033203125}, {"start": 1422.7, "end": 1423.32, "word": " الكلام", "probability": 0.95751953125}, {"start": 1423.32, "end": 1423.9, "word": " بده", "probability": 0.547119140625}, {"start": 1423.9, "end": 1424.62, "word": " يساوي", "probability": 0.9678955078125}, {"start": 1424.62, "end": 1425.74, "word": " اتنين", "probability": 0.825439453125}, {"start": 1425.74, "end": 1426.12, "word": " M", "probability": 0.432861328125}, {"start": 1426.12, "end": 1426.94, "word": " ناقص", "probability": 0.956787109375}, {"start": 1426.94, "end": 1427.6, "word": " واحد", "probability": 0.988525390625}, {"start": 1427.6, "end": 1428.5, "word": " في", "probability": 0.89111328125}, {"start": 1428.5, "end": 1429.54, "word": " اتنين", "probability": 0.9840087890625}, {"start": 1429.54, "end": 1430.04, "word": " N", "probability": 0.6591796875}, {"start": 1430.04, "end": 1431.12, "word": " ناقص", "probability": 0.9849853515625}, {"start": 1431.12, "end": 1431.88, "word": " اتنين", "probability": 0.983154296875}, {"start": 1431.88, "end": 1432.96, "word": " وضلت", "probability": 0.7850341796875}, {"start": 1432.96, "end": 1433.42, "word": " ماشي", "probability": 0.9391276041666666}, {"start": 1433.42, "end": 1433.9, "word": " لغاية", "probability": 0.984130859375}, {"start": 1433.9, "end": 1434.18, "word": " ال", "probability": 0.90673828125}, {"start": 1434.18, "end": 1434.54, "word": " N", "probability": 0.492919921875}, {"start": 1434.54, "end": 1435.8, "word": " زائد", "probability": 0.9420572916666666}, {"start": 1435.8, "end": 1436.5, "word": " واحد", "probability": 0.989013671875}, {"start": 1436.5, "end": 1437.3, "word": " على", "probability": 0.61474609375}, {"start": 1437.3, "end": 1438.14, "word": " الاتنين", "probability": 0.8555908203125}, {"start": 1438.14, "end": 1438.6, "word": " أس", "probability": 0.48980712890625}, {"start": 1438.6, "end": 1438.94, "word": " M", "probability": 0.8193359375}, {"start": 1438.94, "end": 1439.44, "word": " ماقص", "probability": 0.8235677083333334}, {"start": 1439.44, "end": 1439.92, "word": " واحد", "probability": 0.988037109375}, {"start": 1439.92, "end": 1441.72, "word": " لا", "probability": 0.6904296875}, {"start": 1441.72, "end": 1442.24, "word": " يزال", "probability": 0.9737955729166666}, {"start": 1442.24, "end": 1442.86, "word": " السؤال", "probability": 0.9757486979166666}, {"start": 1442.86, "end": 1443.8, "word": " قائم", "probability": 0.9833984375}, {"start": 1443.8, "end": 1444.86, "word": " كم", "probability": 0.808837890625}, {"start": 1444.86, "end": 1445.82, "word": " عدد", "probability": 0.9650065104166666}, {"start": 1445.82, "end": 1447.96, "word": " الأقوس", "probability": 0.6610514322916666}, {"start": 1447.96, "end": 1448.14, "word": " اللي", "probability": 0.869140625}, {"start": 1448.14, "end": 1448.22, "word": " في", "probability": 0.923828125}, {"start": 1448.22, "end": 1448.36, "word": " ال", "probability": 0.71240234375}, {"start": 1448.36, "end": 1448.6, "word": " bus", "probability": 0.420654296875}, {"start": 1448.6, "end": 1449.06, "word": " هذي", "probability": 0.5789388020833334}], "temperature": 1.0}, {"id": 61, "seek": 146583, "start": 1450.13, "end": 1465.83, "text": "إن ناقص واحد، ليش؟ لأنه طار أول ترمى، دول عددهم لغاية تنقل، راح واحد فيهم معناته نقصه مقدار واحد، تمام؟ طيب، إيش رأيك في هذه كالتالي؟ مثلا", "tokens": [28814, 1863, 8717, 995, 4587, 9381, 36764, 24401, 12399, 32239, 8592, 22807, 5296, 33456, 3224, 23032, 9640, 5551, 12610, 6055, 2288, 2304, 7578, 12399, 11778, 12610, 6225, 3215, 3215, 16095, 5296, 17082, 995, 10632, 6055, 1863, 4587, 1211, 12399, 12602, 39319, 36764, 24401, 8978, 16095, 20449, 8315, 47395, 8717, 4587, 9381, 3224, 3714, 28543, 9640, 36764, 24401, 12399, 46811, 10943, 22807, 23032, 1829, 3555, 12399, 11933, 1829, 8592, 12602, 10721, 1829, 4117, 8978, 29538, 9122, 6027, 2655, 6027, 1829, 22807, 50113, 15040], "avg_logprob": -0.21159638985093818, "compression_ratio": 1.5822784810126582, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1450.13, "end": 1450.53, "word": "إن", "probability": 0.5377197265625}, {"start": 1450.53, "end": 1450.97, "word": " ناقص", "probability": 0.8880615234375}, {"start": 1450.97, "end": 1451.47, "word": " واحد،", "probability": 0.746337890625}, {"start": 1451.47, "end": 1452.25, "word": " ليش؟", "probability": 0.76708984375}, {"start": 1452.25, "end": 1452.75, "word": " لأنه", "probability": 0.837890625}, {"start": 1452.75, "end": 1453.11, "word": " طار", "probability": 0.6748046875}, {"start": 1453.11, "end": 1453.63, "word": " أول", "probability": 0.8525390625}, {"start": 1453.63, "end": 1454.13, "word": " ترمى،", "probability": 0.67216796875}, {"start": 1454.13, "end": 1454.25, "word": " دول", "probability": 0.576171875}, {"start": 1454.25, "end": 1454.89, "word": " عددهم", "probability": 0.9700927734375}, {"start": 1454.89, "end": 1455.39, "word": " لغاية", "probability": 0.9849853515625}, {"start": 1455.39, "end": 1456.37, "word": " تنقل،", "probability": 0.859765625}, {"start": 1456.37, "end": 1456.75, "word": " راح", "probability": 0.978271484375}, {"start": 1456.75, "end": 1457.11, "word": " واحد", "probability": 0.9775390625}, {"start": 1457.11, "end": 1457.37, "word": " فيهم", "probability": 0.912109375}, {"start": 1457.37, "end": 1457.81, "word": " معناته", "probability": 0.8123372395833334}, {"start": 1457.81, "end": 1458.23, "word": " نقصه", "probability": 0.90478515625}, {"start": 1458.23, "end": 1459.07, "word": " مقدار", "probability": 0.7976888020833334}, {"start": 1459.07, "end": 1460.07, "word": " واحد،", "probability": 0.8382161458333334}, {"start": 1460.07, "end": 1461.23, "word": " تمام؟", "probability": 0.9073893229166666}, {"start": 1461.23, "end": 1462.07, "word": " طيب،", "probability": 0.90380859375}, {"start": 1462.07, "end": 1462.41, "word": " إيش", "probability": 0.8733723958333334}, {"start": 1462.41, "end": 1463.05, "word": " رأيك", "probability": 0.990966796875}, {"start": 1463.05, "end": 1463.55, "word": " في", "probability": 0.900390625}, {"start": 1463.55, "end": 1464.01, "word": " هذه", "probability": 0.62109375}, {"start": 1464.01, "end": 1465.31, "word": " كالتالي؟", "probability": 0.88330078125}, {"start": 1465.31, "end": 1465.83, "word": " مثلا", "probability": 0.9208984375}], "temperature": 1.0}, {"id": 62, "seek": 148074, "start": 1467.38, "end": 1480.74, "text": "لو قلت لك هنا N زائد واحد في N زائد واحد وضلت ماشي في N زائد واحد على اتنين أس N ماقص واحد", "tokens": [1211, 2407, 12174, 1211, 2655, 5296, 4117, 34105, 426, 30767, 16373, 3215, 36764, 24401, 8978, 426, 30767, 16373, 3215, 36764, 24401, 4032, 11242, 1211, 2655, 3714, 33599, 1829, 8978, 426, 30767, 16373, 3215, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 5551, 3794, 426, 19446, 4587, 9381, 36764, 24401], "avg_logprob": -0.22098214285714285, "compression_ratio": 1.6210526315789473, "no_speech_prob": 0.0, "words": [{"start": 1467.38, "end": 1467.82, "word": "لو", "probability": 0.6888427734375}, {"start": 1467.82, "end": 1468.1, "word": " قلت", "probability": 0.8779296875}, {"start": 1468.1, "end": 1468.34, "word": " لك", "probability": 0.84912109375}, {"start": 1468.34, "end": 1468.72, "word": " هنا", "probability": 0.93359375}, {"start": 1468.72, "end": 1469.16, "word": " N", "probability": 0.39013671875}, {"start": 1469.16, "end": 1470.2, "word": " زائد", "probability": 0.6724039713541666}, {"start": 1470.2, "end": 1470.68, "word": " واحد", "probability": 0.94921875}, {"start": 1470.68, "end": 1471.2, "word": " في", "probability": 0.305419921875}, {"start": 1471.2, "end": 1471.72, "word": " N", "probability": 0.86279296875}, {"start": 1471.72, "end": 1472.74, "word": " زائد", "probability": 0.9495442708333334}, {"start": 1472.74, "end": 1473.3, "word": " واحد", "probability": 0.987548828125}, {"start": 1473.3, "end": 1474.36, "word": " وضلت", "probability": 0.7725830078125}, {"start": 1474.36, "end": 1475.04, "word": " ماشي", "probability": 0.9334309895833334}, {"start": 1475.04, "end": 1475.54, "word": " في", "probability": 0.93017578125}, {"start": 1475.54, "end": 1475.92, "word": " N", "probability": 0.88623046875}, {"start": 1475.92, "end": 1476.64, "word": " زائد", "probability": 0.9796549479166666}, {"start": 1476.64, "end": 1477.32, "word": " واحد", "probability": 0.987548828125}, {"start": 1477.32, "end": 1478.06, "word": " على", "probability": 0.7197265625}, {"start": 1478.06, "end": 1478.82, "word": " اتنين", "probability": 0.8748779296875}, {"start": 1478.82, "end": 1479.26, "word": " أس", "probability": 0.5771484375}, {"start": 1479.26, "end": 1479.74, "word": " N", "probability": 0.381591796875}, {"start": 1479.74, "end": 1480.3, "word": " ماقص", "probability": 0.7506510416666666}, {"start": 1480.3, "end": 1480.74, "word": " واحد", "probability": 0.98828125}], "temperature": 1.0}, {"id": 63, "seek": 150135, "start": 1482.47, "end": 1501.35, "text": "من الأكبر؟ الحد الأول ولا اللي بعده؟ اليمين. اليمين هذا أكبر؟ الشمال. الشمال. الأولاني هذا أكبر، لأنه البسطى بقى أكبر. أنا جيت عند أخر حد وكتبت الباقي زيه. يبقى هذا أكبر من هذا، هذا أكبر من هذا، واللي بعده ..", "tokens": [27842, 16247, 4117, 26890, 22807, 21542, 3215, 16247, 12610, 49429, 13672, 1829, 39182, 3224, 22807, 2423, 32640, 9957, 13, 2423, 32640, 9957, 23758, 5551, 4117, 26890, 22807, 25124, 2304, 6027, 13, 25124, 2304, 6027, 13, 16247, 12610, 7649, 1829, 23758, 5551, 4117, 26890, 12399, 5296, 33456, 3224, 29739, 3794, 9566, 7578, 4724, 4587, 7578, 5551, 4117, 26890, 13, 41850, 10874, 36081, 43242, 5551, 34740, 11331, 3215, 4032, 4117, 2655, 3555, 2655, 29739, 995, 38436, 30767, 1829, 3224, 13, 7251, 3555, 4587, 7578, 23758, 5551, 4117, 26890, 9154, 23758, 12399, 23758, 5551, 4117, 26890, 9154, 23758, 12399, 16070, 20292, 39182, 3224, 4386], "avg_logprob": -0.20925245317173938, "compression_ratio": 2.1893491124260356, "no_speech_prob": 0.0, "words": [{"start": 1482.47, "end": 1482.77, "word": "من", "probability": 0.62548828125}, {"start": 1482.77, "end": 1483.63, "word": " الأكبر؟", "probability": 0.8399658203125}, {"start": 1483.63, "end": 1484.01, "word": " الحد", "probability": 0.86572265625}, {"start": 1484.01, "end": 1484.33, "word": " الأول", "probability": 0.94482421875}, {"start": 1484.33, "end": 1484.53, "word": " ولا", "probability": 0.459228515625}, {"start": 1484.53, "end": 1484.69, "word": " اللي", "probability": 0.949951171875}, {"start": 1484.69, "end": 1485.17, "word": " بعده؟", "probability": 0.9539388020833334}, {"start": 1485.17, "end": 1485.61, "word": " اليمين.", "probability": 0.7764485677083334}, {"start": 1486.85, "end": 1487.55, "word": " اليمين", "probability": 0.7733561197916666}, {"start": 1487.55, "end": 1487.69, "word": " هذا", "probability": 0.595703125}, {"start": 1487.69, "end": 1488.35, "word": " أكبر؟", "probability": 0.9127197265625}, {"start": 1488.35, "end": 1488.67, "word": " الشمال.", "probability": 0.7655436197916666}, {"start": 1489.49, "end": 1490.19, "word": " الشمال.", "probability": 0.8518880208333334}, {"start": 1490.29, "end": 1490.99, "word": " الأولاني", "probability": 0.8541259765625}, {"start": 1490.99, "end": 1491.19, "word": " هذا", "probability": 0.90576171875}, {"start": 1491.19, "end": 1491.75, "word": " أكبر،", "probability": 0.82977294921875}, {"start": 1491.75, "end": 1492.07, "word": " لأنه", "probability": 0.7052408854166666}, {"start": 1492.07, "end": 1492.67, "word": " البسطى", "probability": 0.6563720703125}, {"start": 1492.67, "end": 1492.85, "word": " بقى", "probability": 0.8849283854166666}, {"start": 1492.85, "end": 1493.27, "word": " أكبر.", "probability": 0.9816080729166666}, {"start": 1493.65, "end": 1493.87, "word": " أنا", "probability": 0.9052734375}, {"start": 1493.87, "end": 1494.19, "word": " جيت", "probability": 0.871337890625}, {"start": 1494.19, "end": 1494.45, "word": " عند", "probability": 0.5029296875}, {"start": 1494.45, "end": 1494.71, "word": " أخر", "probability": 0.7427978515625}, {"start": 1494.71, "end": 1495.03, "word": " حد", "probability": 0.957763671875}, {"start": 1495.03, "end": 1495.63, "word": " وكتبت", "probability": 0.92763671875}, {"start": 1495.63, "end": 1496.11, "word": " الباقي", "probability": 0.8551432291666666}, {"start": 1496.11, "end": 1496.59, "word": " زيه.", "probability": 0.9900716145833334}, {"start": 1496.97, "end": 1497.49, "word": " يبقى", "probability": 0.9810791015625}, {"start": 1497.49, "end": 1497.83, "word": " هذا", "probability": 0.9365234375}, {"start": 1497.83, "end": 1498.39, "word": " أكبر", "probability": 0.9739583333333334}, {"start": 1498.39, "end": 1498.61, "word": " من", "probability": 0.99609375}, {"start": 1498.61, "end": 1499.19, "word": " هذا،", "probability": 0.90966796875}, {"start": 1499.19, "end": 1499.55, "word": " هذا", "probability": 0.9716796875}, {"start": 1499.55, "end": 1500.09, "word": " أكبر", "probability": 0.9806315104166666}, {"start": 1500.09, "end": 1500.29, "word": " من", "probability": 0.99755859375}, {"start": 1500.29, "end": 1500.61, "word": " هذا،", "probability": 0.816650390625}, {"start": 1500.61, "end": 1500.89, "word": " واللي", "probability": 0.745361328125}, {"start": 1500.89, "end": 1501.27, "word": " بعده", "probability": 0.886962890625}, {"start": 1501.27, "end": 1501.35, "word": " ..", "probability": 0.271484375}], "temperature": 1.0}, {"id": 64, "seek": 152692, "start": 1501.48, "end": 1526.92, "text": "أخر واحد بس هو اللي بيسويهم، إذا و المقام ثابت، إذا هذا المقدار أكبر من هذا المقدار، طب ليش سويت هيك؟ مش هندبر أجمعهم كلهم اللي مضربات في بعض على شكل series وبالتالي يكون سهل اللي هو المقارنة معاه، هدول كام حد اللي فوق برضه هدول؟", "tokens": [10721, 34740, 36764, 24401, 4724, 3794, 31439, 13672, 1829, 4724, 1829, 3794, 45865, 16095, 12399, 11933, 15730, 4032, 9673, 4587, 10943, 38637, 16758, 2655, 12399, 11933, 15730, 23758, 9673, 28543, 9640, 5551, 4117, 26890, 9154, 23758, 9673, 28543, 9640, 12399, 23032, 3555, 32239, 8592, 8608, 2407, 36081, 39896, 4117, 22807, 37893, 8032, 1863, 3215, 26890, 5551, 7435, 2304, 3615, 16095, 28242, 16095, 13672, 1829, 3714, 11242, 25513, 9307, 8978, 45030, 11242, 15844, 13412, 28820, 2638, 46599, 6027, 2655, 6027, 1829, 7251, 30544, 8608, 3224, 1211, 13672, 1829, 31439, 9673, 4587, 9640, 1863, 3660, 20449, 40294, 12399, 8032, 3215, 12610, 9122, 10943, 11331, 3215, 13672, 1829, 6156, 30543, 4724, 43042, 3224, 8032, 3215, 12610, 22807], "avg_logprob": -0.16630434860353885, "compression_ratio": 1.8755760368663594, "no_speech_prob": 0.0, "words": [{"start": 1501.48, "end": 1502.3, "word": "أخر", "probability": 0.74609375}, {"start": 1502.3, "end": 1502.78, "word": " واحد", "probability": 0.99658203125}, {"start": 1502.78, "end": 1503.12, "word": " بس", "probability": 0.968994140625}, {"start": 1503.12, "end": 1503.24, "word": " هو", "probability": 0.87890625}, {"start": 1503.24, "end": 1503.38, "word": " اللي", "probability": 0.933837890625}, {"start": 1503.38, "end": 1504.36, "word": " بيسويهم،", "probability": 0.8043212890625}, {"start": 1504.36, "end": 1504.92, "word": " إذا", "probability": 0.5230712890625}, {"start": 1504.92, "end": 1505.16, "word": " و", "probability": 0.404296875}, {"start": 1505.16, "end": 1506.12, "word": " المقام", "probability": 0.87841796875}, {"start": 1506.12, "end": 1506.96, "word": " ثابت،", "probability": 0.9520263671875}, {"start": 1506.96, "end": 1507.22, "word": " إذا", "probability": 0.923828125}, {"start": 1507.22, "end": 1507.64, "word": " هذا", "probability": 0.91259765625}, {"start": 1507.64, "end": 1508.5, "word": " المقدار", "probability": 0.9117838541666666}, {"start": 1508.5, "end": 1509.38, "word": " أكبر", "probability": 0.9537760416666666}, {"start": 1509.38, "end": 1509.64, "word": " من", "probability": 0.994140625}, {"start": 1509.64, "end": 1510.24, "word": " هذا", "probability": 0.98046875}, {"start": 1510.24, "end": 1512.14, "word": " المقدار،", "probability": 0.80462646484375}, {"start": 1512.14, "end": 1512.3, "word": " طب", "probability": 0.900146484375}, {"start": 1512.3, "end": 1512.56, "word": " ليش", "probability": 0.96533203125}, {"start": 1512.56, "end": 1512.96, "word": " سويت", "probability": 0.8440755208333334}, {"start": 1512.96, "end": 1513.84, "word": " هيك؟", "probability": 0.9602864583333334}, {"start": 1513.84, "end": 1514.0, "word": " مش", "probability": 0.6337890625}, {"start": 1514.0, "end": 1514.54, "word": " هندبر", "probability": 0.511199951171875}, {"start": 1514.54, "end": 1515.42, "word": " أجمعهم", "probability": 0.92431640625}, {"start": 1515.42, "end": 1515.88, "word": " كلهم", "probability": 0.9267578125}, {"start": 1515.88, "end": 1516.06, "word": " اللي", "probability": 0.98291015625}, {"start": 1516.06, "end": 1516.66, "word": " مضربات", "probability": 0.8848876953125}, {"start": 1516.66, "end": 1516.8, "word": " في", "probability": 0.9814453125}, {"start": 1516.8, "end": 1517.24, "word": " بعض", "probability": 0.945556640625}, {"start": 1517.24, "end": 1517.96, "word": " على", "probability": 0.8623046875}, {"start": 1517.96, "end": 1518.66, "word": " شكل", "probability": 0.984619140625}, {"start": 1518.66, "end": 1519.42, "word": " series", "probability": 0.6708984375}, {"start": 1519.42, "end": 1520.34, "word": " وبالتالي", "probability": 0.8865234375}, {"start": 1520.34, "end": 1520.6, "word": " يكون", "probability": 0.78662109375}, {"start": 1520.6, "end": 1521.36, "word": " سهل", "probability": 0.9248046875}, {"start": 1521.36, "end": 1521.98, "word": " اللي", "probability": 0.9892578125}, {"start": 1521.98, "end": 1522.1, "word": " هو", "probability": 0.9775390625}, {"start": 1522.1, "end": 1522.96, "word": " المقارنة", "probability": 0.99453125}, {"start": 1522.96, "end": 1524.0, "word": " معاه،", "probability": 0.7054850260416666}, {"start": 1524.0, "end": 1524.46, "word": " هدول", "probability": 0.9278971354166666}, {"start": 1524.46, "end": 1524.82, "word": " كام", "probability": 0.762451171875}, {"start": 1524.82, "end": 1525.16, "word": " حد", "probability": 0.98193359375}, {"start": 1525.16, "end": 1525.38, "word": " اللي", "probability": 0.974365234375}, {"start": 1525.38, "end": 1525.74, "word": " فوق", "probability": 0.95458984375}, {"start": 1525.74, "end": 1526.16, "word": " برضه", "probability": 0.9365234375}, {"start": 1526.16, "end": 1526.92, "word": " هدول؟", "probability": 0.9879150390625}], "temperature": 1.0}, {"id": 65, "seek": 155056, "start": 1527.64, "end": 1550.56, "text": "ه يبجى هدول N ناقص واحد عددهم يبجى هذا كأنه مين اللي هو N زائد واحد على الاتنين كله N ناقص واحد طيب احنا مشينا هنا اكبر من", "tokens": [3224, 7251, 3555, 7435, 7578, 8032, 3215, 12610, 426, 8717, 995, 4587, 9381, 36764, 24401, 6225, 3215, 3215, 16095, 7251, 3555, 7435, 7578, 23758, 9122, 33456, 3224, 3714, 9957, 13672, 1829, 31439, 426, 30767, 16373, 3215, 36764, 24401, 15844, 2423, 9307, 1863, 9957, 28242, 3224, 426, 8717, 995, 4587, 9381, 36764, 24401, 23032, 1829, 3555, 1975, 5016, 8315, 37893, 1829, 8315, 34105, 1975, 4117, 26890, 9154], "avg_logprob": -0.24253731699132208, "compression_ratio": 1.646153846153846, "no_speech_prob": 0.0, "words": [{"start": 1527.64, "end": 1528.08, "word": "ه", "probability": 0.296630859375}, {"start": 1528.08, "end": 1529.22, "word": " يبجى", "probability": 0.7086181640625}, {"start": 1529.22, "end": 1529.64, "word": " هدول", "probability": 0.72265625}, {"start": 1529.64, "end": 1530.28, "word": " N", "probability": 0.338134765625}, {"start": 1530.28, "end": 1530.92, "word": " ناقص", "probability": 0.84814453125}, {"start": 1530.92, "end": 1531.32, "word": " واحد", "probability": 0.9716796875}, {"start": 1531.32, "end": 1531.9, "word": " عددهم", "probability": 0.9400634765625}, {"start": 1531.9, "end": 1532.92, "word": " يبجى", "probability": 0.9598388671875}, {"start": 1532.92, "end": 1533.2, "word": " هذا", "probability": 0.66064453125}, {"start": 1533.2, "end": 1535.2, "word": " كأنه", "probability": 0.8875325520833334}, {"start": 1535.2, "end": 1535.5, "word": " مين", "probability": 0.5712890625}, {"start": 1535.5, "end": 1535.8, "word": " اللي", "probability": 0.54986572265625}, {"start": 1535.8, "end": 1536.04, "word": " هو", "probability": 0.85107421875}, {"start": 1536.04, "end": 1536.44, "word": " N", "probability": 0.880859375}, {"start": 1536.44, "end": 1537.38, "word": " زائد", "probability": 0.76953125}, {"start": 1537.38, "end": 1538.0, "word": " واحد", "probability": 0.969970703125}, {"start": 1538.0, "end": 1538.78, "word": " على", "probability": 0.484375}, {"start": 1538.78, "end": 1539.82, "word": " الاتنين", "probability": 0.818603515625}, {"start": 1539.82, "end": 1540.82, "word": " كله", "probability": 0.93603515625}, {"start": 1540.82, "end": 1541.34, "word": " N", "probability": 0.6904296875}, {"start": 1541.34, "end": 1541.92, "word": " ناقص", "probability": 0.9921875}, {"start": 1541.92, "end": 1542.36, "word": " واحد", "probability": 0.98876953125}, {"start": 1542.36, "end": 1547.32, "word": " طيب", "probability": 0.7980143229166666}, {"start": 1547.32, "end": 1548.06, "word": " احنا", "probability": 0.9309895833333334}, {"start": 1548.06, "end": 1548.56, "word": " مشينا", "probability": 0.875}, {"start": 1548.56, "end": 1548.84, "word": " هنا", "probability": 0.92041015625}, {"start": 1548.84, "end": 1550.24, "word": " اكبر", "probability": 0.876953125}, {"start": 1550.24, "end": 1550.56, "word": " من", "probability": 0.98193359375}], "temperature": 1.0}, {"id": 66, "seek": 157959, "start": 1550.91, "end": 1579.59, "text": "بدي أمشي أكبر منه السؤال هو مين اللي أكبر؟ العدد ولا لغرتم العدد؟ العدد أكبر كتير، إذا هذا أكبر من لن M زائد واحد على اتنين قص M ناقص واحد هذا اللي هو بيساوي مين؟ بيساوي M ناقص واحد لن ال M زائد واحد على الاتنين", "tokens": [3555, 16254, 5551, 2304, 8592, 1829, 5551, 4117, 26890, 9154, 3224, 21136, 33604, 6027, 31439, 3714, 9957, 13672, 1829, 5551, 4117, 26890, 22807, 18863, 3215, 3215, 49429, 5296, 17082, 2288, 39237, 18863, 3215, 3215, 22807, 18863, 3215, 3215, 5551, 4117, 26890, 9122, 2655, 13546, 12399, 11933, 15730, 23758, 5551, 4117, 26890, 9154, 5296, 1863, 376, 30767, 16373, 3215, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 12174, 9381, 376, 8717, 995, 4587, 9381, 36764, 24401, 23758, 13672, 1829, 31439, 4724, 1829, 3794, 995, 45865, 3714, 9957, 22807, 4724, 1829, 3794, 995, 45865, 376, 8717, 995, 4587, 9381, 36764, 24401, 5296, 1863, 2423, 376, 30767, 16373, 3215, 36764, 24401, 15844, 2423, 9307, 1863, 9957], "avg_logprob": -0.17422566371681417, "compression_ratio": 2.1686046511627906, "no_speech_prob": 0.0, "words": [{"start": 1550.91, "end": 1551.33, "word": "بدي", "probability": 0.5328369140625}, {"start": 1551.33, "end": 1551.97, "word": " أمشي", "probability": 0.785919189453125}, {"start": 1551.97, "end": 1552.79, "word": " أكبر", "probability": 0.9410807291666666}, {"start": 1552.79, "end": 1553.57, "word": " منه", "probability": 0.796630859375}, {"start": 1553.57, "end": 1554.69, "word": " السؤال", "probability": 0.8138020833333334}, {"start": 1554.69, "end": 1555.05, "word": " هو", "probability": 0.9873046875}, {"start": 1555.05, "end": 1555.93, "word": " مين", "probability": 0.767578125}, {"start": 1555.93, "end": 1556.15, "word": " اللي", "probability": 0.902099609375}, {"start": 1556.15, "end": 1556.75, "word": " أكبر؟", "probability": 0.786865234375}, {"start": 1556.75, "end": 1557.33, "word": " العدد", "probability": 0.9114583333333334}, {"start": 1557.33, "end": 1557.61, "word": " ولا", "probability": 0.353759765625}, {"start": 1557.61, "end": 1558.25, "word": " لغرتم", "probability": 0.73748779296875}, {"start": 1558.25, "end": 1559.03, "word": " العدد؟", "probability": 0.9237060546875}, {"start": 1559.03, "end": 1559.85, "word": " العدد", "probability": 0.8743489583333334}, {"start": 1559.85, "end": 1560.17, "word": " أكبر", "probability": 0.9625651041666666}, {"start": 1560.17, "end": 1561.05, "word": " كتير،", "probability": 0.8065185546875}, {"start": 1561.05, "end": 1561.35, "word": " إذا", "probability": 0.813232421875}, {"start": 1561.35, "end": 1561.93, "word": " هذا", "probability": 0.70654296875}, {"start": 1561.93, "end": 1562.81, "word": " أكبر", "probability": 0.9749348958333334}, {"start": 1562.81, "end": 1563.75, "word": " من", "probability": 0.98779296875}, {"start": 1563.75, "end": 1564.73, "word": " لن", "probability": 0.66943359375}, {"start": 1564.73, "end": 1565.51, "word": " M", "probability": 0.64013671875}, {"start": 1565.51, "end": 1566.51, "word": " زائد", "probability": 0.6388346354166666}, {"start": 1566.51, "end": 1567.07, "word": " واحد", "probability": 0.879150390625}, {"start": 1567.07, "end": 1567.65, "word": " على", "probability": 0.75048828125}, {"start": 1567.65, "end": 1568.31, "word": " اتنين", "probability": 0.949951171875}, {"start": 1568.31, "end": 1568.87, "word": " قص", "probability": 0.5994873046875}, {"start": 1568.87, "end": 1569.15, "word": " M", "probability": 0.76708984375}, {"start": 1569.15, "end": 1569.67, "word": " ناقص", "probability": 0.98388671875}, {"start": 1569.67, "end": 1570.11, "word": " واحد", "probability": 0.9892578125}, {"start": 1570.11, "end": 1571.35, "word": " هذا", "probability": 0.69287109375}, {"start": 1571.35, "end": 1571.57, "word": " اللي", "probability": 0.97900390625}, {"start": 1571.57, "end": 1571.79, "word": " هو", "probability": 0.97998046875}, {"start": 1571.79, "end": 1572.31, "word": " بيساوي", "probability": 0.88486328125}, {"start": 1572.31, "end": 1573.11, "word": " مين؟", "probability": 0.9484049479166666}, {"start": 1573.11, "end": 1573.85, "word": " بيساوي", "probability": 0.9830078125}, {"start": 1573.85, "end": 1574.43, "word": " M", "probability": 0.96337890625}, {"start": 1574.43, "end": 1575.47, "word": " ناقص", "probability": 0.9927978515625}, {"start": 1575.47, "end": 1576.11, "word": " واحد", "probability": 0.99462890625}, {"start": 1576.11, "end": 1577.01, "word": " لن", "probability": 0.942626953125}, {"start": 1577.01, "end": 1577.21, "word": " ال", "probability": 0.73388671875}, {"start": 1577.21, "end": 1577.65, "word": " M", "probability": 0.880859375}, {"start": 1577.65, "end": 1578.29, "word": " زائد", "probability": 0.9635416666666666}, {"start": 1578.29, "end": 1578.81, "word": " واحد", "probability": 0.994384765625}, {"start": 1578.81, "end": 1579.07, "word": " على", "probability": 0.91162109375}, {"start": 1579.07, "end": 1579.59, "word": " الاتنين", "probability": 0.8411865234375}], "temperature": 1.0}, {"id": 67, "seek": 160329, "start": 1587.13, "end": 1603.29, "text": "هذا الحد النوني في ال series الأصلية صحيح أنا من ال series الأصلية مش قادر أجيب لا geometric ولا harmonic ولا P روحت دورت على series ثانية هذا يعتبر حد نوني", "tokens": [3224, 15730, 21542, 3215, 28239, 11536, 1829, 8978, 2423, 2638, 16247, 36520, 10632, 20328, 5016, 1829, 5016, 41850, 9154, 2423, 2638, 16247, 36520, 10632, 37893, 12174, 18513, 2288, 5551, 7435, 1829, 3555, 20193, 33246, 49429, 32270, 49429, 430, 12602, 2407, 33753, 11778, 13063, 2655, 15844, 2638, 38637, 7649, 10632, 23758, 7251, 34268, 26890, 11331, 3215, 8717, 11536, 1829], "avg_logprob": -0.23159427915589284, "compression_ratio": 1.5569620253164558, "no_speech_prob": 0.0, "words": [{"start": 1587.1299999999999, "end": 1588.09, "word": "هذا", "probability": 0.44378662109375}, {"start": 1588.09, "end": 1588.65, "word": " الحد", "probability": 0.77587890625}, {"start": 1588.65, "end": 1589.57, "word": " النوني", "probability": 0.8268229166666666}, {"start": 1589.57, "end": 1589.97, "word": " في", "probability": 0.8125}, {"start": 1589.97, "end": 1590.11, "word": " ال", "probability": 0.63525390625}, {"start": 1590.11, "end": 1590.37, "word": " series", "probability": 0.54833984375}, {"start": 1590.37, "end": 1591.49, "word": " الأصلية", "probability": 0.74560546875}, {"start": 1591.49, "end": 1592.61, "word": " صحيح", "probability": 0.8223876953125}, {"start": 1592.61, "end": 1593.31, "word": " أنا", "probability": 0.235107421875}, {"start": 1593.31, "end": 1593.45, "word": " من", "probability": 0.85986328125}, {"start": 1593.45, "end": 1593.57, "word": " ال", "probability": 0.91162109375}, {"start": 1593.57, "end": 1593.77, "word": " series", "probability": 0.9267578125}, {"start": 1593.77, "end": 1594.27, "word": " الأصلية", "probability": 0.8419596354166666}, {"start": 1594.27, "end": 1594.49, "word": " مش", "probability": 0.89990234375}, {"start": 1594.49, "end": 1594.97, "word": " قادر", "probability": 0.9728190104166666}, {"start": 1594.97, "end": 1595.37, "word": " أجيب", "probability": 0.921142578125}, {"start": 1595.37, "end": 1595.59, "word": " لا", "probability": 0.65185546875}, {"start": 1595.59, "end": 1596.17, "word": " geometric", "probability": 0.5537109375}, {"start": 1596.17, "end": 1596.51, "word": " ولا", "probability": 0.97021484375}, {"start": 1596.51, "end": 1597.07, "word": " harmonic", "probability": 0.86181640625}, {"start": 1597.07, "end": 1597.51, "word": " ولا", "probability": 0.97607421875}, {"start": 1597.51, "end": 1597.99, "word": " P", "probability": 0.892578125}, {"start": 1597.99, "end": 1599.09, "word": " روحت", "probability": 0.8634440104166666}, {"start": 1599.09, "end": 1599.65, "word": " دورت", "probability": 0.9420572916666666}, {"start": 1599.65, "end": 1599.85, "word": " على", "probability": 0.91162109375}, {"start": 1599.85, "end": 1600.21, "word": " series", "probability": 0.82763671875}, {"start": 1600.21, "end": 1600.67, "word": " ثانية", "probability": 0.919921875}, {"start": 1600.67, "end": 1601.11, "word": " هذا", "probability": 0.77197265625}, {"start": 1601.11, "end": 1601.81, "word": " يعتبر", "probability": 0.9757486979166666}, {"start": 1601.81, "end": 1602.43, "word": " حد", "probability": 0.993896484375}, {"start": 1602.43, "end": 1603.29, "word": " نوني", "probability": 0.9835611979166666}], "temperature": 1.0}, {"id": 68, "seek": 162229, "start": 1603.65, "end": 1622.29, "text": "في سيريز ثانية، مظبوط ولا لا؟ باجي يقول والله إذا طلعت السيريز هذه divert، يبقى الأصلية عندي divert لأنها أكبر منها، وإذا طلعت converge مشورنا زي بعض، كل شغلنا راح أوي، مظبوط؟ يبقى باجي يقولهم بقى", "tokens": [41185, 8608, 13546, 1829, 11622, 38637, 7649, 10632, 12399, 3714, 19913, 3555, 2407, 9566, 49429, 20193, 22807, 4724, 26108, 1829, 7251, 39648, 16070, 43761, 11933, 15730, 23032, 1211, 34268, 21136, 13546, 1829, 11622, 29538, 9192, 17721, 12399, 7251, 3555, 4587, 7578, 16247, 36520, 10632, 18871, 16254, 9192, 17721, 5296, 33456, 11296, 5551, 4117, 26890, 9154, 11296, 12399, 4032, 28814, 15730, 23032, 1211, 34268, 41881, 37893, 13063, 8315, 30767, 1829, 45030, 11242, 12399, 28242, 13412, 17082, 1211, 8315, 12602, 39319, 34051, 1829, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 7251, 39648, 16095, 4724, 4587, 7578], "avg_logprob": -0.23253676733549902, "compression_ratio": 1.7106598984771573, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1603.65, "end": 1603.85, "word": "في", "probability": 0.58349609375}, {"start": 1603.85, "end": 1604.45, "word": " سيريز", "probability": 0.7421875}, {"start": 1604.45, "end": 1605.37, "word": " ثانية،", "probability": 0.8695068359375}, {"start": 1605.37, "end": 1605.83, "word": " مظبوط", "probability": 0.8986328125}, {"start": 1605.83, "end": 1605.95, "word": " ولا", "probability": 0.64306640625}, {"start": 1605.95, "end": 1606.71, "word": " لا؟", "probability": 0.84375}, {"start": 1606.71, "end": 1606.95, "word": " باجي", "probability": 0.685302734375}, {"start": 1606.95, "end": 1607.17, "word": " يقول", "probability": 0.745849609375}, {"start": 1607.17, "end": 1607.77, "word": " والله", "probability": 0.7039794921875}, {"start": 1607.77, "end": 1608.07, "word": " إذا", "probability": 0.903076171875}, {"start": 1608.07, "end": 1608.47, "word": " طلعت", "probability": 0.97705078125}, {"start": 1608.47, "end": 1609.11, "word": " السيريز", "probability": 0.884521484375}, {"start": 1609.11, "end": 1609.53, "word": " هذه", "probability": 0.7451171875}, {"start": 1609.53, "end": 1610.57, "word": " divert،", "probability": 0.3332722981770833}, {"start": 1610.57, "end": 1611.09, "word": " يبقى", "probability": 0.961669921875}, {"start": 1611.09, "end": 1611.71, "word": " الأصلية", "probability": 0.775390625}, {"start": 1611.71, "end": 1612.01, "word": " عندي", "probability": 0.79833984375}, {"start": 1612.01, "end": 1612.53, "word": " divert", "probability": 0.6627197265625}, {"start": 1612.53, "end": 1612.97, "word": " لأنها", "probability": 0.85205078125}, {"start": 1612.97, "end": 1613.83, "word": " أكبر", "probability": 0.9749348958333334}, {"start": 1613.83, "end": 1614.53, "word": " منها،", "probability": 0.7879231770833334}, {"start": 1614.53, "end": 1614.89, "word": " وإذا", "probability": 0.9794921875}, {"start": 1614.89, "end": 1615.25, "word": " طلعت", "probability": 0.9944661458333334}, {"start": 1615.25, "end": 1615.77, "word": " converge", "probability": 0.91943359375}, {"start": 1615.77, "end": 1616.29, "word": " مشورنا", "probability": 0.68115234375}, {"start": 1616.29, "end": 1616.51, "word": " زي", "probability": 0.956787109375}, {"start": 1616.51, "end": 1616.85, "word": " بعض،", "probability": 0.8426106770833334}, {"start": 1616.85, "end": 1617.05, "word": " كل", "probability": 0.96044921875}, {"start": 1617.05, "end": 1617.55, "word": " شغلنا", "probability": 0.9910888671875}, {"start": 1617.55, "end": 1617.81, "word": " راح", "probability": 0.975830078125}, {"start": 1617.81, "end": 1618.93, "word": " أوي،", "probability": 0.810546875}, {"start": 1618.93, "end": 1620.13, "word": " مظبوط؟", "probability": 0.970703125}, {"start": 1620.13, "end": 1620.43, "word": " يبقى", "probability": 0.979248046875}, {"start": 1620.43, "end": 1620.83, "word": " باجي", "probability": 0.9772135416666666}, {"start": 1620.83, "end": 1621.51, "word": " يقولهم", "probability": 0.6298014322916666}, {"start": 1621.51, "end": 1622.29, "word": " بقى", "probability": 0.6383056640625}], "temperature": 1.0}, {"id": 69, "seek": 163437, "start": 1625.03, "end": 1634.37, "text": "Limit لل N ناقص واحد لإن ال N زائد واحد على اتنين لما ال N tends to infinity", "tokens": [43, 332, 270, 24976, 426, 8717, 995, 4587, 9381, 36764, 24401, 5296, 28814, 1863, 2423, 426, 30767, 16373, 3215, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 5296, 15042, 2423, 426, 12258, 281, 13202], "avg_logprob": -0.22909007922691457, "compression_ratio": 1.1428571428571428, "no_speech_prob": 0.0, "words": [{"start": 1625.03, "end": 1626.01, "word": "Limit", "probability": 0.6737060546875}, {"start": 1626.01, "end": 1626.69, "word": " لل", "probability": 0.70947265625}, {"start": 1626.69, "end": 1627.13, "word": " N", "probability": 0.338623046875}, {"start": 1627.13, "end": 1627.87, "word": " ناقص", "probability": 0.944580078125}, {"start": 1627.87, "end": 1628.43, "word": " واحد", "probability": 0.97216796875}, {"start": 1628.43, "end": 1629.15, "word": " لإن", "probability": 0.8123372395833334}, {"start": 1629.15, "end": 1629.39, "word": " ال", "probability": 0.70654296875}, {"start": 1629.39, "end": 1629.77, "word": " N", "probability": 0.91845703125}, {"start": 1629.77, "end": 1630.37, "word": " زائد", "probability": 0.90869140625}, {"start": 1630.37, "end": 1630.81, "word": " واحد", "probability": 0.96533203125}, {"start": 1630.81, "end": 1631.13, "word": " على", "probability": 0.751953125}, {"start": 1631.13, "end": 1631.67, "word": " اتنين", "probability": 0.960693359375}, {"start": 1631.67, "end": 1632.53, "word": " لما", "probability": 0.905029296875}, {"start": 1632.53, "end": 1632.73, "word": " ال", "probability": 0.9677734375}, {"start": 1632.73, "end": 1633.07, "word": " N", "probability": 0.8583984375}, {"start": 1633.07, "end": 1633.41, "word": " tends", "probability": 0.470703125}, {"start": 1633.41, "end": 1633.65, "word": " to", "probability": 0.95068359375}, {"start": 1633.65, "end": 1634.37, "word": " infinity", "probability": 0.84130859375}], "temperature": 1.0}, {"id": 70, "seek": 165513, "start": 1639.05, "end": 1655.13, "text": "الأولى مقدش والتانية ما لا نهاية في ما لا نهاية في ما لا نهاية يبقى بالإنث تيرم تست ال series هذي ما لها by this هذا بدي يعطيلك by the", "tokens": [6027, 10721, 12610, 7578, 3714, 28543, 8592, 16070, 2655, 7649, 10632, 19446, 20193, 8717, 11296, 10632, 8978, 19446, 20193, 8717, 11296, 10632, 8978, 19446, 20193, 8717, 11296, 10632, 7251, 3555, 4587, 7578, 20666, 28814, 1863, 12984, 6055, 13546, 2304, 6055, 14851, 2423, 2638, 8032, 8848, 1829, 19446, 5296, 11296, 538, 341, 23758, 4724, 16254, 37495, 9566, 1829, 23275, 538, 264], "avg_logprob": -0.4298155815874944, "compression_ratio": 1.6818181818181819, "no_speech_prob": 0.0, "words": [{"start": 1639.05, "end": 1639.57, "word": "الأولى", "probability": 0.66790771484375}, {"start": 1639.57, "end": 1640.21, "word": " مقدش", "probability": 0.4818115234375}, {"start": 1640.21, "end": 1641.99, "word": " والتانية", "probability": 0.77392578125}, {"start": 1641.99, "end": 1642.85, "word": " ما", "probability": 0.63916015625}, {"start": 1642.85, "end": 1642.95, "word": " لا", "probability": 0.509765625}, {"start": 1642.95, "end": 1643.33, "word": " نهاية", "probability": 0.9031575520833334}, {"start": 1643.33, "end": 1643.49, "word": " في", "probability": 0.77978515625}, {"start": 1643.49, "end": 1643.59, "word": " ما", "probability": 0.75341796875}, {"start": 1643.59, "end": 1643.77, "word": " لا", "probability": 0.95556640625}, {"start": 1643.77, "end": 1644.35, "word": " نهاية", "probability": 0.8419596354166666}, {"start": 1644.35, "end": 1644.53, "word": " في", "probability": 0.52099609375}, {"start": 1644.53, "end": 1644.75, "word": " ما", "probability": 0.98779296875}, {"start": 1644.75, "end": 1645.25, "word": " لا", "probability": 0.96826171875}, {"start": 1645.25, "end": 1645.95, "word": " نهاية", "probability": 0.984375}, {"start": 1645.95, "end": 1647.19, "word": " يبقى", "probability": 0.9095458984375}, {"start": 1647.19, "end": 1647.89, "word": " بالإنث", "probability": 0.458526611328125}, {"start": 1647.89, "end": 1648.27, "word": " تيرم", "probability": 0.8802083333333334}, {"start": 1648.27, "end": 1648.61, "word": " تست", "probability": 0.78857421875}, {"start": 1648.61, "end": 1648.81, "word": " ال", "probability": 0.419189453125}, {"start": 1648.81, "end": 1649.03, "word": " series", "probability": 0.380126953125}, {"start": 1649.03, "end": 1649.43, "word": " هذي", "probability": 0.46923828125}, {"start": 1649.43, "end": 1649.61, "word": " ما", "probability": 0.771484375}, {"start": 1649.61, "end": 1650.07, "word": " لها", "probability": 0.833740234375}, {"start": 1650.07, "end": 1650.75, "word": " by", "probability": 0.42626953125}, {"start": 1650.75, "end": 1651.19, "word": " this", "probability": 0.38818359375}, {"start": 1651.19, "end": 1652.03, "word": " هذا", "probability": 0.61474609375}, {"start": 1652.03, "end": 1652.41, "word": " بدي", "probability": 0.65673828125}, {"start": 1652.41, "end": 1653.23, "word": " يعطيلك", "probability": 0.85595703125}, {"start": 1653.23, "end": 1653.97, "word": " by", "probability": 0.84814453125}, {"start": 1653.97, "end": 1655.13, "word": " the", "probability": 0.89013671875}], "temperature": 1.0}, {"id": 71, "seek": 168982, "start": 1664.4, "end": 1689.82, "text": "اللي هي summation من N equal one to infinity لل N minus ال one لإن ال N plus one على اتنين مالها diverged الآن بال comparison test اللي أكبر منها مالها فاحنا مش بدنا في الشغل هذه ماحنا اللي أكبر منها قلناها diverged من الأول", "tokens": [6027, 20292, 39896, 28811, 9154, 426, 2681, 472, 281, 13202, 24976, 426, 3175, 2423, 472, 5296, 28814, 1863, 2423, 426, 1804, 472, 15844, 1975, 2655, 1863, 9957, 3714, 6027, 11296, 18558, 3004, 6024, 48506, 20666, 9660, 1500, 13672, 1829, 5551, 4117, 26890, 9154, 11296, 3714, 6027, 11296, 6156, 39319, 8315, 37893, 47525, 8315, 8978, 25124, 17082, 1211, 29538, 19446, 5016, 8315, 13672, 1829, 5551, 4117, 26890, 9154, 11296, 12174, 1211, 8315, 11296, 18558, 3004, 9154, 16247, 12610], "avg_logprob": -0.28545671701431274, "compression_ratio": 1.645, "no_speech_prob": 0.0, "words": [{"start": 1664.4, "end": 1664.84, "word": "اللي", "probability": 0.3814697265625}, {"start": 1664.84, "end": 1665.22, "word": " هي", "probability": 0.9306640625}, {"start": 1665.22, "end": 1666.5, "word": " summation", "probability": 0.568359375}, {"start": 1666.5, "end": 1667.48, "word": " من", "probability": 0.95556640625}, {"start": 1667.48, "end": 1667.84, "word": " N", "probability": 0.3271484375}, {"start": 1667.84, "end": 1668.38, "word": " equal", "probability": 0.1297607421875}, {"start": 1668.38, "end": 1668.88, "word": " one", "probability": 0.6982421875}, {"start": 1668.88, "end": 1669.2, "word": " to", "probability": 0.94775390625}, {"start": 1669.2, "end": 1670.06, "word": " infinity", "probability": 0.8564453125}, {"start": 1670.06, "end": 1670.86, "word": " لل", "probability": 0.68701171875}, {"start": 1670.86, "end": 1671.3, "word": " N", "probability": 0.69482421875}, {"start": 1671.3, "end": 1671.86, "word": " minus", "probability": 0.91357421875}, {"start": 1671.86, "end": 1672.18, "word": " ال", "probability": 0.814453125}, {"start": 1672.18, "end": 1672.46, "word": " one", "probability": 0.689453125}, {"start": 1672.46, "end": 1673.44, "word": " لإن", "probability": 0.7561848958333334}, {"start": 1673.44, "end": 1673.72, "word": " ال", "probability": 0.9560546875}, {"start": 1673.72, "end": 1674.02, "word": " N", "probability": 0.95703125}, {"start": 1674.02, "end": 1674.58, "word": " plus", "probability": 0.95166015625}, {"start": 1674.58, "end": 1675.14, "word": " one", "probability": 0.95361328125}, {"start": 1675.14, "end": 1676.02, "word": " على", "probability": 0.6953125}, {"start": 1676.02, "end": 1676.6, "word": " اتنين", "probability": 0.9378662109375}, {"start": 1676.6, "end": 1677.2, "word": " مالها", "probability": 0.7589518229166666}, {"start": 1677.2, "end": 1678.66, "word": " diverged", "probability": 0.38433837890625}, {"start": 1678.66, "end": 1680.1, "word": " الآن", "probability": 0.6190185546875}, {"start": 1680.1, "end": 1680.42, "word": " بال", "probability": 0.96337890625}, {"start": 1680.42, "end": 1681.48, "word": " comparison", "probability": 0.7587890625}, {"start": 1681.48, "end": 1682.28, "word": " test", "probability": 0.9013671875}, {"start": 1682.28, "end": 1682.58, "word": " اللي", "probability": 0.821044921875}, {"start": 1682.58, "end": 1683.28, "word": " أكبر", "probability": 0.9342447916666666}, {"start": 1683.28, "end": 1683.64, "word": " منها", "probability": 0.9833984375}, {"start": 1683.64, "end": 1684.26, "word": " مالها", "probability": 0.9462890625}, {"start": 1684.26, "end": 1685.38, "word": " فاحنا", "probability": 0.5209147135416666}, {"start": 1685.38, "end": 1685.5, "word": " مش", "probability": 0.5830078125}, {"start": 1685.5, "end": 1685.76, "word": " بدنا", "probability": 0.946533203125}, {"start": 1685.76, "end": 1685.9, "word": " في", "probability": 0.473388671875}, {"start": 1685.9, "end": 1686.38, "word": " الشغل", "probability": 0.7999674479166666}, {"start": 1686.38, "end": 1686.76, "word": " هذه", "probability": 0.493408203125}, {"start": 1686.76, "end": 1687.38, "word": " ماحنا", "probability": 0.6697591145833334}, {"start": 1687.38, "end": 1687.5, "word": " اللي", "probability": 0.91796875}, {"start": 1687.5, "end": 1687.82, "word": " أكبر", "probability": 0.9637044270833334}, {"start": 1687.82, "end": 1688.06, "word": " منها", "probability": 0.984130859375}, {"start": 1688.06, "end": 1688.56, "word": " قلناها", "probability": 0.854736328125}, {"start": 1688.56, "end": 1689.06, "word": " diverged", "probability": 0.860595703125}, {"start": 1689.06, "end": 1689.22, "word": " من", "probability": 0.990234375}, {"start": 1689.22, "end": 1689.82, "word": " الأول", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 72, "seek": 169917, "start": 1690.79, "end": 1699.17, "text": "مظبوط؟ يبقى انا كل اللي عندي ال limit هذي ما لابد يسوى ال infinity، إذا هذا اللي كتبته كلام زيادة مالزمنيش", "tokens": [2304, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 1975, 8315, 28242, 13672, 1829, 18871, 16254, 2423, 4948, 8032, 8848, 1829, 19446, 5296, 16758, 3215, 7251, 3794, 2407, 7578, 2423, 13202, 12399, 11933, 15730, 23758, 13672, 1829, 9122, 2655, 3555, 47395, 28242, 10943, 30767, 1829, 18513, 3660, 3714, 6027, 11622, 2304, 22653, 8592], "avg_logprob": -0.3264204675501043, "compression_ratio": 1.335820895522388, "no_speech_prob": 0.0, "words": [{"start": 1690.79, "end": 1691.47, "word": "مظبوط؟", "probability": 0.7043863932291666}, {"start": 1691.47, "end": 1691.99, "word": " يبقى", "probability": 0.8992919921875}, {"start": 1691.99, "end": 1692.33, "word": " انا", "probability": 0.639892578125}, {"start": 1692.33, "end": 1692.65, "word": " كل", "probability": 0.9072265625}, {"start": 1692.65, "end": 1692.87, "word": " اللي", "probability": 0.924560546875}, {"start": 1692.87, "end": 1693.19, "word": " عندي", "probability": 0.813720703125}, {"start": 1693.19, "end": 1693.37, "word": " ال", "probability": 0.58056640625}, {"start": 1693.37, "end": 1693.93, "word": " limit", "probability": 0.9306640625}, {"start": 1693.93, "end": 1694.37, "word": " هذي", "probability": 0.5963541666666666}, {"start": 1694.37, "end": 1694.47, "word": " ما", "probability": 0.77490234375}, {"start": 1694.47, "end": 1694.81, "word": " لابد", "probability": 0.6687215169270834}, {"start": 1694.81, "end": 1695.11, "word": " يسوى", "probability": 0.6741943359375}, {"start": 1695.11, "end": 1695.19, "word": " ال", "probability": 0.65380859375}, {"start": 1695.19, "end": 1696.01, "word": " infinity،", "probability": 0.675537109375}, {"start": 1696.01, "end": 1696.25, "word": " إذا", "probability": 0.5848388671875}, {"start": 1696.25, "end": 1696.53, "word": " هذا", "probability": 0.299560546875}, {"start": 1696.53, "end": 1696.73, "word": " اللي", "probability": 0.978515625}, {"start": 1696.73, "end": 1697.25, "word": " كتبته", "probability": 0.984375}, {"start": 1697.25, "end": 1697.71, "word": " كلام", "probability": 0.927978515625}, {"start": 1697.71, "end": 1698.27, "word": " زيادة", "probability": 0.9737548828125}, {"start": 1698.27, "end": 1699.17, "word": " مالزمنيش", "probability": 0.734130859375}], "temperature": 1.0}, {"id": 73, "seek": 172554, "start": 1700.6, "end": 1725.54, "text": "الـ limit كل اللي بقدر أقوله أنه هذا بدي يعطيني دغري summation طبعا limit لما ال N tends to infinity كل اللي بديه summation N ناقص واحد لإن ال N زائد واحد على اتنين ما لها هذي اللي هو ال series هذي", "tokens": [6027, 39184, 4948, 28242, 13672, 1829, 4724, 28543, 2288, 5551, 39648, 3224, 14739, 3224, 23758, 4724, 16254, 37495, 9566, 1829, 22653, 11778, 17082, 16572, 28811, 23032, 3555, 3615, 995, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 28242, 13672, 1829, 4724, 16254, 3224, 28811, 426, 8717, 995, 4587, 9381, 36764, 24401, 5296, 28814, 1863, 2423, 426, 30767, 16373, 3215, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 19446, 5296, 11296, 8032, 8848, 1829, 13672, 1829, 31439, 2423, 2638, 8032, 8848, 1829], "avg_logprob": -0.36863427103301627, "compression_ratio": 1.5595854922279793, "no_speech_prob": 0.0, "words": [{"start": 1700.6000000000001, "end": 1701.7, "word": "الـ", "probability": 0.235595703125}, {"start": 1701.7, "end": 1701.86, "word": " limit", "probability": 0.482421875}, {"start": 1701.86, "end": 1702.2, "word": " كل", "probability": 0.7919921875}, {"start": 1702.2, "end": 1702.38, "word": " اللي", "probability": 0.690673828125}, {"start": 1702.38, "end": 1702.78, "word": " بقدر", "probability": 0.9547526041666666}, {"start": 1702.78, "end": 1703.3, "word": " أقوله", "probability": 0.80810546875}, {"start": 1703.3, "end": 1703.98, "word": " أنه", "probability": 0.2906494140625}, {"start": 1703.98, "end": 1704.24, "word": " هذا", "probability": 0.7578125}, {"start": 1704.24, "end": 1704.64, "word": " بدي", "probability": 0.665283203125}, {"start": 1704.64, "end": 1705.28, "word": " يعطيني", "probability": 0.7874755859375}, {"start": 1705.28, "end": 1705.9, "word": " دغري", "probability": 0.5614013671875}, {"start": 1705.9, "end": 1707.28, "word": " summation", "probability": 0.75244140625}, {"start": 1707.28, "end": 1708.66, "word": " طبعا", "probability": 0.8475341796875}, {"start": 1708.66, "end": 1709.08, "word": " limit", "probability": 0.8232421875}, {"start": 1709.08, "end": 1709.42, "word": " لما", "probability": 0.880859375}, {"start": 1709.42, "end": 1709.58, "word": " ال", "probability": 0.93408203125}, {"start": 1709.58, "end": 1709.82, "word": " N", "probability": 0.479736328125}, {"start": 1709.82, "end": 1710.14, "word": " tends", "probability": 0.72802734375}, {"start": 1710.14, "end": 1710.36, "word": " to", "probability": 0.9306640625}, {"start": 1710.36, "end": 1710.98, "word": " infinity", "probability": 0.8388671875}, {"start": 1710.98, "end": 1711.7, "word": " كل", "probability": 0.896484375}, {"start": 1711.7, "end": 1711.88, "word": " اللي", "probability": 0.99072265625}, {"start": 1711.88, "end": 1712.52, "word": " بديه", "probability": 0.8416341145833334}, {"start": 1712.52, "end": 1713.36, "word": " summation", "probability": 0.12060546875}, {"start": 1713.36, "end": 1714.28, "word": " N", "probability": 0.642578125}, {"start": 1714.28, "end": 1714.84, "word": " ناقص", "probability": 0.77850341796875}, {"start": 1714.84, "end": 1715.42, "word": " واحد", "probability": 0.935791015625}, {"start": 1715.42, "end": 1716.28, "word": " لإن", "probability": 0.89892578125}, {"start": 1716.28, "end": 1716.5, "word": " ال", "probability": 0.8369140625}, {"start": 1716.5, "end": 1716.9, "word": " N", "probability": 0.95751953125}, {"start": 1716.9, "end": 1717.48, "word": " زائد", "probability": 0.7721354166666666}, {"start": 1717.48, "end": 1718.06, "word": " واحد", "probability": 0.971923828125}, {"start": 1718.06, "end": 1718.48, "word": " على", "probability": 0.6005859375}, {"start": 1718.48, "end": 1719.02, "word": " اتنين", "probability": 0.9456787109375}, {"start": 1719.02, "end": 1719.24, "word": " ما", "probability": 0.5751953125}, {"start": 1719.24, "end": 1719.6, "word": " لها", "probability": 0.7449951171875}, {"start": 1719.6, "end": 1720.66, "word": " هذي", "probability": 0.5400390625}, {"start": 1720.66, "end": 1722.66, "word": " اللي", "probability": 0.5926513671875}, {"start": 1722.66, "end": 1723.08, "word": " هو", "probability": 0.97705078125}, {"start": 1723.08, "end": 1723.68, "word": " ال", "probability": 0.1884765625}, {"start": 1723.68, "end": 1724.9, "word": " series", "probability": 0.689453125}, {"start": 1724.9, "end": 1725.54, "word": " هذي", "probability": 0.7763671875}], "temperature": 1.0}, {"id": 74, "seek": 174198, "start": 1726.58, "end": 1741.98, "text": "قلنا هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف، هذا ضعيف", "tokens": [4587, 1211, 8315, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911, 12399, 23758, 48812, 3615, 33911], "avg_logprob": -0.2862103231369503, "compression_ratio": 6.0, "no_speech_prob": 0.0, "words": [{"start": 1726.58, "end": 1727.02, "word": "قلنا", "probability": 0.549560546875}, {"start": 1727.02, "end": 1727.24, "word": " هذا", "probability": 0.1737060546875}, {"start": 1727.24, "end": 1727.98, "word": " ضعيف،", "probability": 0.68353271484375}, {"start": 1727.98, "end": 1728.74, "word": " هذا", "probability": 0.2744140625}, {"start": 1728.74, "end": 1730.86, "word": " ضعيف،", "probability": 0.7486572265625}, {"start": 1730.86, "end": 1732.72, "word": " هذا", "probability": 0.409912109375}, {"start": 1732.72, "end": 1734.72, "word": " ضعيف،", "probability": 0.865478515625}, {"start": 1734.72, "end": 1734.72, "word": " هذا", "probability": 0.83984375}, {"start": 1734.72, "end": 1734.72, "word": " ضعيف،", "probability": 0.89501953125}, {"start": 1734.72, "end": 1734.72, "word": " هذا", "probability": 0.90283203125}, {"start": 1734.72, "end": 1734.72, "word": " ضعيف،", "probability": 0.9075927734375}, {"start": 1734.72, "end": 1734.72, "word": " هذا", "probability": 0.9267578125}, {"start": 1734.72, "end": 1734.72, "word": " ضعيف،", "probability": 0.9169921875}, {"start": 1734.72, "end": 1734.78, "word": " هذا", "probability": 0.9404296875}, {"start": 1734.78, "end": 1734.78, "word": " ضعيف،", "probability": 0.926513671875}, {"start": 1734.78, "end": 1734.84, "word": " هذا", "probability": 0.9453125}, {"start": 1734.84, "end": 1734.84, "word": " ضعيف،", "probability": 0.9364013671875}, {"start": 1734.84, "end": 1734.84, "word": " هذا", "probability": 0.94677734375}, {"start": 1734.84, "end": 1734.84, "word": " ضعيف،", "probability": 0.9447021484375}, {"start": 1734.84, "end": 1735.48, "word": " هذا", "probability": 0.94921875}, {"start": 1735.48, "end": 1736.56, "word": " ضعيف،", "probability": 0.951171875}, {"start": 1736.56, "end": 1738.76, "word": " هذا", "probability": 0.9541015625}, {"start": 1738.76, "end": 1740.48, "word": " ضعيف،", "probability": 0.9564208984375}, {"start": 1740.48, "end": 1741.5, "word": " هذا", "probability": 0.9580078125}, {"start": 1741.5, "end": 1741.98, "word": " ضعيف", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 75, "seek": 176466, "start": 1743.72, "end": 1764.66, "text": "هذا ال limit له بمعنى لا نهاية، هذا ال limit للي فوق يبقى دياشر، بمعنى لا نهاية يبقى سا اللي هو ال limit لما ال n tends to infinity للإتنين N factorial على اتنين أس N في ال N factorial في ال N", "tokens": [3224, 15730, 2423, 4948, 46740, 4724, 2304, 3615, 1863, 7578, 20193, 8717, 11296, 10632, 12399, 23758, 2423, 4948, 5296, 20292, 6156, 30543, 7251, 3555, 4587, 7578, 11778, 1829, 33599, 2288, 12399, 4724, 2304, 3615, 1863, 7578, 20193, 8717, 11296, 10632, 7251, 3555, 4587, 7578, 8608, 995, 13672, 1829, 31439, 2423, 4948, 5296, 15042, 2423, 297, 12258, 281, 13202, 24976, 28814, 2655, 1863, 9957, 426, 36916, 15844, 1975, 2655, 1863, 9957, 5551, 3794, 426, 8978, 2423, 426, 36916, 8978, 2423, 426], "avg_logprob": -0.3364197413126628, "compression_ratio": 1.7730061349693251, "no_speech_prob": 0.0, "words": [{"start": 1743.72, "end": 1744.18, "word": "هذا", "probability": 0.85986328125}, {"start": 1744.18, "end": 1744.32, "word": " ال", "probability": 0.61376953125}, {"start": 1744.32, "end": 1744.52, "word": " limit", "probability": 0.49560546875}, {"start": 1744.52, "end": 1744.8, "word": " له", "probability": 0.3544921875}, {"start": 1744.8, "end": 1745.1, "word": " بمعنى", "probability": 0.87021484375}, {"start": 1745.1, "end": 1745.26, "word": " لا", "probability": 0.312255859375}, {"start": 1745.26, "end": 1745.52, "word": " نهاية،", "probability": 0.76300048828125}, {"start": 1745.52, "end": 1745.7, "word": " هذا", "probability": 0.4267578125}, {"start": 1745.7, "end": 1745.82, "word": " ال", "probability": 0.7919921875}, {"start": 1745.82, "end": 1745.98, "word": " limit", "probability": 0.9775390625}, {"start": 1745.98, "end": 1746.24, "word": " للي", "probability": 0.5994873046875}, {"start": 1746.24, "end": 1746.48, "word": " فوق", "probability": 0.7724609375}, {"start": 1746.48, "end": 1746.64, "word": " يبقى", "probability": 0.7401123046875}, {"start": 1746.64, "end": 1747.58, "word": " دياشر،", "probability": 0.5489990234375}, {"start": 1747.58, "end": 1748.0, "word": " بمعنى", "probability": 0.97109375}, {"start": 1748.0, "end": 1748.2, "word": " لا", "probability": 0.92333984375}, {"start": 1748.2, "end": 1748.78, "word": " نهاية", "probability": 0.9737955729166666}, {"start": 1748.78, "end": 1750.26, "word": " يبقى", "probability": 0.9068603515625}, {"start": 1750.26, "end": 1750.9, "word": " سا", "probability": 0.353759765625}, {"start": 1750.9, "end": 1751.66, "word": " اللي", "probability": 0.927978515625}, {"start": 1751.66, "end": 1752.06, "word": " هو", "probability": 0.9931640625}, {"start": 1752.06, "end": 1752.7, "word": " ال", "probability": 0.7607421875}, {"start": 1752.7, "end": 1753.24, "word": " limit", "probability": 0.97900390625}, {"start": 1753.24, "end": 1753.98, "word": " لما", "probability": 0.885986328125}, {"start": 1753.98, "end": 1754.16, "word": " ال", "probability": 0.9609375}, {"start": 1754.16, "end": 1754.5, "word": " n", "probability": 0.38916015625}, {"start": 1754.5, "end": 1754.78, "word": " tends", "probability": 0.7626953125}, {"start": 1754.78, "end": 1755.04, "word": " to", "probability": 0.9609375}, {"start": 1755.04, "end": 1755.86, "word": " infinity", "probability": 0.88037109375}, {"start": 1755.86, "end": 1757.36, "word": " للإتنين", "probability": 0.7014892578125}, {"start": 1757.36, "end": 1757.82, "word": " N", "probability": 0.2783203125}, {"start": 1757.82, "end": 1758.8, "word": " factorial", "probability": 0.728515625}, {"start": 1758.8, "end": 1759.84, "word": " على", "probability": 0.560546875}, {"start": 1759.84, "end": 1760.52, "word": " اتنين", "probability": 0.9110107421875}, {"start": 1760.52, "end": 1760.98, "word": " أس", "probability": 0.4874267578125}, {"start": 1760.98, "end": 1761.46, "word": " N", "probability": 0.94189453125}, {"start": 1761.46, "end": 1762.02, "word": " في", "probability": 0.84375}, {"start": 1762.02, "end": 1762.22, "word": " ال", "probability": 0.96728515625}, {"start": 1762.22, "end": 1762.52, "word": " N", "probability": 0.962890625}, {"start": 1762.52, "end": 1763.44, "word": " factorial", "probability": 0.85400390625}, {"start": 1763.44, "end": 1764.08, "word": " في", "probability": 0.966796875}, {"start": 1764.08, "end": 1764.36, "word": " ال", "probability": 0.97265625}, {"start": 1764.36, "end": 1764.66, "word": " N", "probability": 0.94873046875}], "temperature": 1.0}, {"id": 76, "seek": 179155, "start": 1764.87, "end": 1791.55, "text": "بدي يساوي infinity هذا بدي يعطيك انه summation لسالب واحد to the power N للاتنين N factorial على الاتنين أس N في ال N factorial في ال N مالها divergence تانية من نفسي يعني ايش الشرط التالت لم يتحقق", "tokens": [3555, 16254, 7251, 3794, 995, 45865, 13202, 23758, 4724, 16254, 37495, 9566, 1829, 4117, 16472, 3224, 28811, 5296, 3794, 6027, 3555, 36764, 24401, 281, 264, 1347, 426, 24976, 9307, 1863, 9957, 426, 36916, 15844, 2423, 9307, 1863, 9957, 5551, 3794, 426, 8978, 2423, 426, 36916, 8978, 2423, 426, 3714, 6027, 11296, 47387, 6055, 7649, 10632, 9154, 8717, 36178, 1829, 37495, 22653, 1975, 1829, 8592, 25124, 2288, 9566, 16712, 6027, 2655, 32767, 7251, 2655, 5016, 4587, 4587], "avg_logprob": -0.3015422046958626, "compression_ratio": 1.5179487179487179, "no_speech_prob": 0.0, "words": [{"start": 1764.87, "end": 1765.37, "word": "بدي", "probability": 0.22607421875}, {"start": 1765.37, "end": 1766.01, "word": " يساوي", "probability": 0.7760009765625}, {"start": 1766.01, "end": 1767.05, "word": " infinity", "probability": 0.6435546875}, {"start": 1767.05, "end": 1767.87, "word": " هذا", "probability": 0.587890625}, {"start": 1767.87, "end": 1768.21, "word": " بدي", "probability": 0.857666015625}, {"start": 1768.21, "end": 1769.11, "word": " يعطيك", "probability": 0.8233642578125}, {"start": 1769.11, "end": 1770.15, "word": " انه", "probability": 0.59033203125}, {"start": 1770.15, "end": 1771.23, "word": " summation", "probability": 0.87353515625}, {"start": 1771.23, "end": 1772.83, "word": " لسالب", "probability": 0.686767578125}, {"start": 1772.83, "end": 1773.39, "word": " واحد", "probability": 0.97265625}, {"start": 1773.39, "end": 1773.61, "word": " to", "probability": 0.92724609375}, {"start": 1773.61, "end": 1773.83, "word": " the", "probability": 0.912109375}, {"start": 1773.83, "end": 1774.41, "word": " power", "probability": 0.8740234375}, {"start": 1774.41, "end": 1774.99, "word": " N", "probability": 0.365234375}, {"start": 1774.99, "end": 1776.37, "word": " للاتنين", "probability": 0.70709228515625}, {"start": 1776.37, "end": 1776.85, "word": " N", "probability": 0.87158203125}, {"start": 1776.85, "end": 1777.93, "word": " factorial", "probability": 0.63134765625}, {"start": 1777.93, "end": 1779.01, "word": " على", "probability": 0.5390625}, {"start": 1779.01, "end": 1780.01, "word": " الاتنين", "probability": 0.80963134765625}, {"start": 1780.01, "end": 1780.55, "word": " أس", "probability": 0.634765625}, {"start": 1780.55, "end": 1781.03, "word": " N", "probability": 0.92822265625}, {"start": 1781.03, "end": 1781.63, "word": " في", "probability": 0.7666015625}, {"start": 1781.63, "end": 1781.97, "word": " ال", "probability": 0.9150390625}, {"start": 1781.97, "end": 1782.39, "word": " N", "probability": 0.92578125}, {"start": 1782.39, "end": 1783.63, "word": " factorial", "probability": 0.8037109375}, {"start": 1783.63, "end": 1784.31, "word": " في", "probability": 0.62109375}, {"start": 1784.31, "end": 1784.53, "word": " ال", "probability": 0.958984375}, {"start": 1784.53, "end": 1784.75, "word": " N", "probability": 0.943359375}, {"start": 1784.75, "end": 1785.47, "word": " مالها", "probability": 0.7655436197916666}, {"start": 1785.47, "end": 1786.59, "word": " divergence", "probability": 0.724609375}, {"start": 1786.59, "end": 1787.11, "word": " تانية", "probability": 0.771484375}, {"start": 1787.11, "end": 1787.21, "word": " من", "probability": 0.97607421875}, {"start": 1787.21, "end": 1787.47, "word": " نفسي", "probability": 0.7958984375}, {"start": 1787.47, "end": 1787.81, "word": " يعني", "probability": 0.903076171875}, {"start": 1787.81, "end": 1788.17, "word": " ايش", "probability": 0.558349609375}, {"start": 1788.17, "end": 1789.03, "word": " الشرط", "probability": 0.8841145833333334}, {"start": 1789.03, "end": 1789.69, "word": " التالت", "probability": 0.98046875}, {"start": 1789.69, "end": 1790.19, "word": " لم", "probability": 0.953125}, {"start": 1790.19, "end": 1791.55, "word": " يتحقق", "probability": 0.993359375}], "temperature": 1.0}, {"id": 77, "seek": 180162, "start": 1791.7, "end": 1801.62, "text": "فلذلك ال series طالة ان دي معلها diverse طبعا هذا السؤال يعتبر من المسألة الصعبة لإنه بده تفكير كثير و كما اتعودنا", "tokens": [5172, 1211, 8848, 23275, 2423, 2638, 23032, 6027, 3660, 16472, 11778, 1829, 20449, 1211, 11296, 9521, 23032, 3555, 3615, 995, 23758, 21136, 33604, 6027, 7251, 34268, 26890, 9154, 9673, 3794, 10721, 37977, 31767, 3615, 49401, 5296, 28814, 1863, 3224, 47525, 3224, 6055, 5172, 4117, 13546, 9122, 12984, 13546, 4032, 9122, 15042, 1975, 2655, 3615, 23328, 8315], "avg_logprob": -0.232593203845777, "compression_ratio": 1.4057971014492754, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1791.7, "end": 1792.32, "word": "فلذلك", "probability": 0.7955322265625}, {"start": 1792.32, "end": 1792.48, "word": " ال", "probability": 0.8740234375}, {"start": 1792.48, "end": 1792.72, "word": " series", "probability": 0.49560546875}, {"start": 1792.72, "end": 1793.1, "word": " طالة", "probability": 0.4853515625}, {"start": 1793.1, "end": 1793.28, "word": " ان", "probability": 0.476318359375}, {"start": 1793.28, "end": 1793.42, "word": " دي", "probability": 0.7020263671875}, {"start": 1793.42, "end": 1793.92, "word": " معلها", "probability": 0.76953125}, {"start": 1793.92, "end": 1794.74, "word": " diverse", "probability": 0.88623046875}, {"start": 1794.74, "end": 1795.22, "word": " طبعا", "probability": 0.8863525390625}, {"start": 1795.22, "end": 1795.5, "word": " هذا", "probability": 0.84716796875}, {"start": 1795.5, "end": 1796.24, "word": " السؤال", "probability": 0.9930013020833334}, {"start": 1796.24, "end": 1797.02, "word": " يعتبر", "probability": 0.9580078125}, {"start": 1797.02, "end": 1797.16, "word": " من", "probability": 0.8359375}, {"start": 1797.16, "end": 1797.56, "word": " المسألة", "probability": 0.66033935546875}, {"start": 1797.56, "end": 1797.98, "word": " الصعبة", "probability": 0.9793294270833334}, {"start": 1797.98, "end": 1798.26, "word": " لإنه", "probability": 0.8236083984375}, {"start": 1798.26, "end": 1798.48, "word": " بده", "probability": 0.82568359375}, {"start": 1798.48, "end": 1799.2, "word": " تفكير", "probability": 0.9951171875}, {"start": 1799.2, "end": 1800.34, "word": " كثير", "probability": 0.8665364583333334}, {"start": 1800.34, "end": 1800.46, "word": " و", "probability": 0.765625}, {"start": 1800.46, "end": 1800.8, "word": " كما", "probability": 0.830322265625}, {"start": 1800.8, "end": 1801.62, "word": " اتعودنا", "probability": 0.88125}], "temperature": 1.0}, {"id": 78, "seek": 182279, "start": 1802.03, "end": 1822.79, "text": "فى ال section الماضى أعطيتك بالنسبال أربعة فى أخر الأسئلة ولا واحد زى التانى وكل واحد بفكرة وكانت أعتبر أسئلة صعبة إذا قُرنت بالمجموعة من المسائل اللى قبلها وصلنا إلى exercises اللى هي عاشرة ستة", "tokens": [5172, 7578, 2423, 3541, 9673, 46958, 7578, 5551, 3615, 9566, 36081, 4117, 20666, 1863, 35457, 6027, 5551, 25513, 27884, 6156, 7578, 5551, 34740, 16247, 3794, 19986, 37977, 49429, 36764, 24401, 30767, 7578, 16712, 7649, 7578, 4032, 28820, 36764, 24401, 4724, 5172, 4117, 25720, 4032, 41361, 2655, 5551, 34268, 26890, 5551, 3794, 19986, 37977, 20328, 3615, 49401, 11933, 15730, 12174, 10859, 2288, 29399, 20666, 2304, 7435, 2304, 45367, 3660, 9154, 9673, 3794, 16373, 1211, 13672, 7578, 12174, 36150, 11296, 4032, 36520, 8315, 30731, 11900, 13672, 7578, 39896, 6225, 33599, 25720, 8608, 2655, 3660], "avg_logprob": -0.21404569764291087, "compression_ratio": 1.69, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 1802.03, "end": 1802.25, "word": "فى", "probability": 0.4466552734375}, {"start": 1802.25, "end": 1802.37, "word": " ال", "probability": 0.6845703125}, {"start": 1802.37, "end": 1802.71, "word": " section", "probability": 0.5107421875}, {"start": 1802.71, "end": 1803.67, "word": " الماضى", "probability": 0.9762369791666666}, {"start": 1803.67, "end": 1804.77, "word": " أعطيتك", "probability": 0.840869140625}, {"start": 1804.77, "end": 1805.51, "word": " بالنسبال", "probability": 0.60858154296875}, {"start": 1805.51, "end": 1806.07, "word": " أربعة", "probability": 0.7222493489583334}, {"start": 1806.07, "end": 1806.31, "word": " فى", "probability": 0.6654052734375}, {"start": 1806.31, "end": 1806.59, "word": " أخر", "probability": 0.831298828125}, {"start": 1806.59, "end": 1807.25, "word": " الأسئلة", "probability": 0.9754638671875}, {"start": 1807.25, "end": 1808.09, "word": " ولا", "probability": 0.6376953125}, {"start": 1808.09, "end": 1808.59, "word": " واحد", "probability": 0.994873046875}, {"start": 1808.59, "end": 1808.83, "word": " زى", "probability": 0.94091796875}, {"start": 1808.83, "end": 1809.23, "word": " التانى", "probability": 0.90087890625}, {"start": 1809.23, "end": 1809.63, "word": " وكل", "probability": 0.74658203125}, {"start": 1809.63, "end": 1810.07, "word": " واحد", "probability": 0.99755859375}, {"start": 1810.07, "end": 1810.71, "word": " بفكرة", "probability": 0.9822998046875}, {"start": 1810.71, "end": 1811.51, "word": " وكانت", "probability": 0.9352213541666666}, {"start": 1811.51, "end": 1811.87, "word": " أعتبر", "probability": 0.6898600260416666}, {"start": 1811.87, "end": 1812.19, "word": " أسئلة", "probability": 0.8953857421875}, {"start": 1812.19, "end": 1812.61, "word": " صعبة", "probability": 0.9944661458333334}, {"start": 1812.61, "end": 1812.89, "word": " إذا", "probability": 0.951171875}, {"start": 1812.89, "end": 1813.51, "word": " قُرنت", "probability": 0.75775146484375}, {"start": 1813.51, "end": 1814.57, "word": " بالمجموعة", "probability": 0.895751953125}, {"start": 1814.57, "end": 1814.67, "word": " من", "probability": 0.96875}, {"start": 1814.67, "end": 1815.45, "word": " المسائل", "probability": 0.94775390625}, {"start": 1815.45, "end": 1815.81, "word": " اللى", "probability": 0.936279296875}, {"start": 1815.81, "end": 1816.43, "word": " قبلها", "probability": 0.9944661458333334}, {"start": 1816.43, "end": 1817.65, "word": " وصلنا", "probability": 0.8826497395833334}, {"start": 1817.65, "end": 1818.13, "word": " إلى", "probability": 0.69775390625}, {"start": 1818.13, "end": 1819.09, "word": " exercises", "probability": 0.7294921875}, {"start": 1819.09, "end": 1820.87, "word": " اللى", "probability": 0.940185546875}, {"start": 1820.87, "end": 1821.09, "word": " هي", "probability": 0.450927734375}, {"start": 1821.09, "end": 1822.01, "word": " عاشرة", "probability": 0.7838541666666666}, {"start": 1822.01, "end": 1822.79, "word": " ستة", "probability": 0.9456380208333334}], "temperature": 1.0}, {"id": 79, "seek": 185071, "start": 1824.27, "end": 1850.71, "text": "Exercises عشرة ستة من واحد لتمانية واربعين اللي هي multiple of three بدنا الأن نيجي ل section عشرة سبعة اللي هو أهم section موجود في هذا الشرطر", "tokens": [11149, 2869, 3598, 6225, 8592, 25720, 8608, 2655, 3660, 9154, 36764, 24401, 5296, 39237, 7649, 10632, 4032, 9640, 3555, 3615, 9957, 13672, 1829, 39896, 3866, 295, 1045, 47525, 8315, 16247, 1863, 8717, 1829, 7435, 1829, 5296, 3541, 6225, 8592, 25720, 8608, 3555, 27884, 13672, 1829, 31439, 5551, 16095, 3541, 3714, 29245, 23328, 8978, 23758, 25124, 2288, 9566, 2288], "avg_logprob": -0.2963453500957812, "compression_ratio": 1.4230769230769231, "no_speech_prob": 0.0, "words": [{"start": 1824.27, "end": 1825.29, "word": "Exercises", "probability": 0.54058837890625}, {"start": 1825.29, "end": 1825.95, "word": " عشرة", "probability": 0.79248046875}, {"start": 1825.95, "end": 1826.93, "word": " ستة", "probability": 0.7457682291666666}, {"start": 1826.93, "end": 1827.59, "word": " من", "probability": 0.91357421875}, {"start": 1827.59, "end": 1828.43, "word": " واحد", "probability": 0.97900390625}, {"start": 1828.43, "end": 1830.01, "word": " لتمانية", "probability": 0.8447265625}, {"start": 1830.01, "end": 1831.23, "word": " واربعين", "probability": 0.9140625}, {"start": 1831.23, "end": 1832.29, "word": " اللي", "probability": 0.50335693359375}, {"start": 1832.29, "end": 1832.51, "word": " هي", "probability": 0.484619140625}, {"start": 1832.51, "end": 1833.07, "word": " multiple", "probability": 0.498046875}, {"start": 1833.07, "end": 1833.55, "word": " of", "probability": 0.63134765625}, {"start": 1833.55, "end": 1834.17, "word": " three", "probability": 0.89794921875}, {"start": 1834.17, "end": 1842.97, "word": " بدنا", "probability": 0.681640625}, {"start": 1842.97, "end": 1843.21, "word": " الأن", "probability": 0.68310546875}, {"start": 1843.21, "end": 1843.57, "word": " نيجي", "probability": 0.82763671875}, {"start": 1843.57, "end": 1843.69, "word": " ل", "probability": 0.89599609375}, {"start": 1843.69, "end": 1844.19, "word": " section", "probability": 0.6767578125}, {"start": 1844.19, "end": 1845.57, "word": " عشرة", "probability": 0.884765625}, {"start": 1845.57, "end": 1846.27, "word": " سبعة", "probability": 0.9680989583333334}, {"start": 1846.27, "end": 1846.93, "word": " اللي", "probability": 0.98046875}, {"start": 1846.93, "end": 1847.13, "word": " هو", "probability": 0.94580078125}, {"start": 1847.13, "end": 1847.67, "word": " أهم", "probability": 0.9619140625}, {"start": 1847.67, "end": 1848.29, "word": " section", "probability": 0.88330078125}, {"start": 1848.29, "end": 1849.23, "word": " موجود", "probability": 0.9840494791666666}, {"start": 1849.23, "end": 1849.49, "word": " في", "probability": 0.984375}, {"start": 1849.49, "end": 1849.91, "word": " هذا", "probability": 0.96826171875}, {"start": 1849.91, "end": 1850.71, "word": " الشرطر", "probability": 0.73614501953125}], "temperature": 1.0}, {"id": 80, "seek": 187509, "start": 1868.89, "end": 1875.09, "text": "تبقى عشرة سبعة هو ال power series", "tokens": [2655, 3555, 4587, 7578, 6225, 8592, 25720, 8608, 3555, 27884, 31439, 2423, 1347, 2638], "avg_logprob": -0.31484373807907107, "compression_ratio": 0.8448275862068966, "no_speech_prob": 0.0, "words": [{"start": 1868.89, "end": 1870.25, "word": "تبقى", "probability": 0.71124267578125}, {"start": 1870.25, "end": 1870.73, "word": " عشرة", "probability": 0.8733723958333334}, {"start": 1870.73, "end": 1871.41, "word": " سبعة", "probability": 0.7605794270833334}, {"start": 1871.41, "end": 1872.45, "word": " هو", "probability": 0.29833984375}, {"start": 1872.45, "end": 1872.75, "word": " ال", "probability": 0.8505859375}, {"start": 1872.75, "end": 1873.15, "word": " power", "probability": 0.87890625}, {"start": 1873.15, "end": 1875.09, "word": " series", "probability": 0.865234375}], "temperature": 1.0}, {"id": 81, "seek": 190504, "start": 1879.4, "end": 1905.04, "text": "بتعرف ما هي ال power series وبعد هيك نبحث ال convergence و ال divergence لل power series definition power series is a series and", "tokens": [3555, 2655, 3615, 28480, 19446, 39896, 2423, 1347, 2638, 46599, 22488, 39896, 4117, 8717, 49628, 12984, 2423, 32181, 4032, 2423, 47387, 24976, 1347, 2638, 7123, 1347, 2638, 307, 257, 2638, 293], "avg_logprob": -0.5351562593132257, "compression_ratio": 1.3893805309734513, "no_speech_prob": 0.0, "words": [{"start": 1879.4, "end": 1880.1, "word": "بتعرف", "probability": 0.38592529296875}, {"start": 1880.1, "end": 1880.34, "word": " ما", "probability": 0.76611328125}, {"start": 1880.34, "end": 1880.8, "word": " هي", "probability": 0.8173828125}, {"start": 1880.8, "end": 1881.18, "word": " ال", "probability": 0.78662109375}, {"start": 1881.18, "end": 1881.42, "word": " power", "probability": 0.7080078125}, {"start": 1881.42, "end": 1881.98, "word": " series", "probability": 0.87939453125}, {"start": 1881.98, "end": 1882.82, "word": " وبعد", "probability": 0.68310546875}, {"start": 1882.82, "end": 1883.14, "word": " هيك", "probability": 0.4832763671875}, {"start": 1883.14, "end": 1883.46, "word": " نبحث", "probability": 0.951171875}, {"start": 1883.46, "end": 1883.6, "word": " ال", "probability": 0.36328125}, {"start": 1883.6, "end": 1884.1, "word": " convergence", "probability": 0.79736328125}, {"start": 1884.1, "end": 1884.44, "word": " و", "probability": 0.54296875}, {"start": 1884.44, "end": 1884.5, "word": " ال", "probability": 0.76416015625}, {"start": 1884.5, "end": 1885.06, "word": " divergence", "probability": 0.9912109375}, {"start": 1885.06, "end": 1885.98, "word": " لل", "probability": 0.892578125}, {"start": 1885.98, "end": 1886.46, "word": " power", "probability": 0.66650390625}, {"start": 1886.46, "end": 1887.24, "word": " series", "probability": 0.8974609375}, {"start": 1887.24, "end": 1888.54, "word": " definition", "probability": 0.30419921875}, {"start": 1888.54, "end": 1892.56, "word": " power", "probability": 0.2491455078125}, {"start": 1892.56, "end": 1893.7, "word": " series", "probability": 0.90673828125}, {"start": 1893.7, "end": 1901.02, "word": " is", "probability": 0.3837890625}, {"start": 1901.02, "end": 1902.46, "word": " a", "probability": 0.916015625}, {"start": 1902.46, "end": 1903.6, "word": " series", "probability": 0.89111328125}, {"start": 1903.6, "end": 1905.04, "word": " and", "probability": 0.361083984375}], "temperature": 1.0}, {"id": 82, "seek": 192001, "start": 1906.11, "end": 1920.01, "text": "The fourth الشكل التالي summation من n equal zero to infinity ل c n x لأقصى a to the power m يعني", "tokens": [2278, 6409, 25124, 28820, 16712, 6027, 1829, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 269, 297, 2031, 5296, 10721, 4587, 9381, 7578, 257, 281, 264, 1347, 275, 37495, 22653], "avg_logprob": -0.5403225844906222, "compression_ratio": 1.0434782608695652, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1906.11, "end": 1906.41, "word": "The", "probability": 0.10888671875}, {"start": 1906.41, "end": 1906.97, "word": " fourth", "probability": 0.267578125}, {"start": 1906.97, "end": 1907.99, "word": " الشكل", "probability": 0.626708984375}, {"start": 1907.99, "end": 1908.77, "word": " التالي", "probability": 0.9529622395833334}, {"start": 1908.77, "end": 1910.17, "word": " summation", "probability": 0.316650390625}, {"start": 1910.17, "end": 1911.25, "word": " من", "probability": 0.43994140625}, {"start": 1911.25, "end": 1911.59, "word": " n", "probability": 0.458984375}, {"start": 1911.59, "end": 1912.15, "word": " equal", "probability": 0.298828125}, {"start": 1912.15, "end": 1912.63, "word": " zero", "probability": 0.6171875}, {"start": 1912.63, "end": 1912.95, "word": " to", "probability": 0.93359375}, {"start": 1912.95, "end": 1913.75, "word": " infinity", "probability": 0.8583984375}, {"start": 1913.75, "end": 1914.61, "word": " ل", "probability": 0.783203125}, {"start": 1914.61, "end": 1915.09, "word": " c", "probability": 0.383056640625}, {"start": 1915.09, "end": 1915.69, "word": " n", "probability": 0.317626953125}, {"start": 1915.69, "end": 1916.25, "word": " x", "probability": 0.83154296875}, {"start": 1916.25, "end": 1916.99, "word": " لأقصى", "probability": 0.65703125}, {"start": 1916.99, "end": 1917.37, "word": " a", "probability": 0.7333984375}, {"start": 1917.37, "end": 1917.57, "word": " to", "probability": 0.82470703125}, {"start": 1917.57, "end": 1917.83, "word": " the", "probability": 0.8974609375}, {"start": 1917.83, "end": 1918.29, "word": " power", "probability": 0.865234375}, {"start": 1918.29, "end": 1918.79, "word": " m", "probability": 0.498779296875}, {"start": 1918.79, "end": 1920.01, "word": " يعني", "probability": 0.817138671875}], "temperature": 1.0}, {"id": 83, "seek": 194198, "start": 1938.16, "end": 1941.98, "text": "زاد إلى آخره", "tokens": [11622, 18513, 30731, 19753, 34740, 3224], "avg_logprob": -0.7873884098870414, "compression_ratio": 0.6666666666666666, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1938.1599999999999, "end": 1939.56, "word": "زاد", "probability": 0.268829345703125}, {"start": 1939.56, "end": 1940.96, "word": " إلى", "probability": 0.50439453125}, {"start": 1940.96, "end": 1941.98, "word": " آخره", "probability": 0.7897135416666666}], "temperature": 1.0}, {"id": 84, "seek": 196986, "start": 1945.82, "end": 1969.86, "text": "الـA والـC0 والـC1 والـC2 والـCN وكذلك هدول كلهم are constants هدول كلهم ثوابت and الـA is the center", "tokens": [6027, 39184, 32, 16070, 39184, 34, 15, 16070, 39184, 34, 16, 16070, 39184, 34, 17, 16070, 39184, 34, 45, 4032, 4117, 8848, 23275, 8032, 3215, 12610, 28242, 16095, 366, 35870, 8032, 3215, 12610, 28242, 16095, 38637, 14407, 3555, 2655, 293, 2423, 39184, 32, 307, 264, 3056], "avg_logprob": -0.1536735365999506, "compression_ratio": 1.4607843137254901, "no_speech_prob": 0.0, "words": [{"start": 1945.82, "end": 1946.74, "word": "الـA", "probability": 0.4611002604166667}, {"start": 1946.74, "end": 1948.22, "word": " والـC0", "probability": 0.72540283203125}, {"start": 1948.22, "end": 1949.58, "word": " والـC1", "probability": 0.9327392578125}, {"start": 1949.58, "end": 1951.24, "word": " والـC2", "probability": 0.9490966796875}, {"start": 1951.24, "end": 1953.06, "word": " والـCN", "probability": 0.90234375}, {"start": 1953.06, "end": 1954.78, "word": " وكذلك", "probability": 0.9576416015625}, {"start": 1954.78, "end": 1955.34, "word": " هدول", "probability": 0.8971354166666666}, {"start": 1955.34, "end": 1956.18, "word": " كلهم", "probability": 0.9423828125}, {"start": 1956.18, "end": 1957.24, "word": " are", "probability": 0.771484375}, {"start": 1957.24, "end": 1958.9, "word": " constants", "probability": 0.9814453125}, {"start": 1958.9, "end": 1960.56, "word": " هدول", "probability": 0.9674479166666666}, {"start": 1960.56, "end": 1961.06, "word": " كلهم", "probability": 0.968017578125}, {"start": 1961.06, "end": 1961.8, "word": " ثوابت", "probability": 0.931884765625}, {"start": 1961.8, "end": 1963.34, "word": " and", "probability": 0.77880859375}, {"start": 1963.34, "end": 1966.06, "word": " الـA", "probability": 0.9376627604166666}, {"start": 1966.06, "end": 1967.62, "word": " is", "probability": 0.943359375}, {"start": 1967.62, "end": 1969.2, "word": " the", "probability": 0.93017578125}, {"start": 1969.2, "end": 1969.86, "word": " center", "probability": 0.83349609375}], "temperature": 1.0}, {"id": 85, "seek": 199725, "start": 1973.77, "end": 1997.25, "text": "of the power series مركز ال power series نقطة مهمة لو كان ال a تساوي zero then the power series becomes", "tokens": [2670, 264, 1347, 2638, 3714, 31747, 11622, 2423, 1347, 2638, 8717, 47432, 3660, 3714, 16095, 3660, 45164, 25961, 2423, 257, 6055, 3794, 995, 45865, 4018, 550, 264, 1347, 2638, 3643], "avg_logprob": -0.21333165707126742, "compression_ratio": 1.303030303030303, "no_speech_prob": 0.0, "words": [{"start": 1973.77, "end": 1974.43, "word": "of", "probability": 0.1414794921875}, {"start": 1974.43, "end": 1975.59, "word": " the", "probability": 0.841796875}, {"start": 1975.59, "end": 1976.45, "word": " power", "probability": 0.9033203125}, {"start": 1976.45, "end": 1978.37, "word": " series", "probability": 0.890625}, {"start": 1978.37, "end": 1980.25, "word": " مركز", "probability": 0.8766276041666666}, {"start": 1980.25, "end": 1980.43, "word": " ال", "probability": 0.92724609375}, {"start": 1980.43, "end": 1980.75, "word": " power", "probability": 0.77978515625}, {"start": 1980.75, "end": 1981.47, "word": " series", "probability": 0.919921875}, {"start": 1981.47, "end": 1985.07, "word": " نقطة", "probability": 0.9119466145833334}, {"start": 1985.07, "end": 1985.89, "word": " مهمة", "probability": 0.9912109375}, {"start": 1985.89, "end": 1986.81, "word": " لو", "probability": 0.697265625}, {"start": 1986.81, "end": 1987.39, "word": " كان", "probability": 0.9921875}, {"start": 1987.39, "end": 1988.27, "word": " ال", "probability": 0.89501953125}, {"start": 1988.27, "end": 1988.67, "word": " a", "probability": 0.7412109375}, {"start": 1988.67, "end": 1989.29, "word": " تساوي", "probability": 0.748931884765625}, {"start": 1989.29, "end": 1989.77, "word": " zero", "probability": 0.356689453125}, {"start": 1989.77, "end": 1991.01, "word": " then", "probability": 0.787109375}, {"start": 1991.01, "end": 1992.41, "word": " the", "probability": 0.84423828125}, {"start": 1992.41, "end": 1993.19, "word": " power", "probability": 0.91259765625}, {"start": 1993.19, "end": 1995.41, "word": " series", "probability": 0.88916015625}, {"start": 1995.41, "end": 1997.25, "word": " becomes", "probability": 0.9091796875}], "temperature": 1.0}, {"id": 86, "seek": 202129, "start": 1999.13, "end": 2021.29, "text": "تصبح على الشكل التالي summation من n equal zero to infinity ل cn x to the power m وتساوي c0, c1x, c2x تربية, cn xn زائد إلى آخرين", "tokens": [2655, 9381, 49628, 15844, 25124, 28820, 16712, 6027, 1829, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 269, 77, 2031, 281, 264, 1347, 275, 34683, 3794, 995, 45865, 269, 15, 11, 269, 16, 87, 11, 269, 17, 87, 6055, 25513, 10632, 11, 269, 77, 2031, 77, 30767, 16373, 3215, 30731, 19753, 34740, 9957], "avg_logprob": -0.30353010694185895, "compression_ratio": 1.1533333333333333, "no_speech_prob": 0.0, "words": [{"start": 1999.13, "end": 1999.67, "word": "تصبح", "probability": 0.6045735677083334}, {"start": 1999.67, "end": 1999.89, "word": " على", "probability": 0.830078125}, {"start": 1999.89, "end": 2000.45, "word": " الشكل", "probability": 0.96826171875}, {"start": 2000.45, "end": 2001.11, "word": " التالي", "probability": 0.92529296875}, {"start": 2001.11, "end": 2002.57, "word": " summation", "probability": 0.4462890625}, {"start": 2002.57, "end": 2003.59, "word": " من", "probability": 0.796875}, {"start": 2003.59, "end": 2003.93, "word": " n", "probability": 0.59326171875}, {"start": 2003.93, "end": 2004.47, "word": " equal", "probability": 0.1878662109375}, {"start": 2004.47, "end": 2004.89, "word": " zero", "probability": 0.564453125}, {"start": 2004.89, "end": 2005.19, "word": " to", "probability": 0.9638671875}, {"start": 2005.19, "end": 2005.97, "word": " infinity", "probability": 0.865234375}, {"start": 2005.97, "end": 2006.83, "word": " ل", "probability": 0.81298828125}, {"start": 2006.83, "end": 2007.93, "word": " cn", "probability": 0.6011962890625}, {"start": 2007.93, "end": 2008.79, "word": " x", "probability": 0.88427734375}, {"start": 2008.79, "end": 2009.03, "word": " to", "probability": 0.90771484375}, {"start": 2009.03, "end": 2009.27, "word": " the", "probability": 0.8876953125}, {"start": 2009.27, "end": 2009.67, "word": " power", "probability": 0.8798828125}, {"start": 2009.67, "end": 2010.19, "word": " m", "probability": 0.488037109375}, {"start": 2010.19, "end": 2011.57, "word": " وتساوي", "probability": 0.70941162109375}, {"start": 2011.57, "end": 2012.47, "word": " c0,", "probability": 0.5687255859375}, {"start": 2012.99, "end": 2014.19, "word": " c1x,", "probability": 0.8302408854166666}, {"start": 2014.65, "end": 2015.81, "word": " c2x", "probability": 0.9337565104166666}, {"start": 2015.81, "end": 2016.47, "word": " تربية,", "probability": 0.66796875}, {"start": 2017.07, "end": 2018.11, "word": " cn", "probability": 0.751220703125}, {"start": 2018.11, "end": 2019.47, "word": " xn", "probability": 0.85400390625}, {"start": 2019.47, "end": 2020.37, "word": " زائد", "probability": 0.8408203125}, {"start": 2020.37, "end": 2020.65, "word": " إلى", "probability": 0.52587890625}, {"start": 2020.65, "end": 2021.29, "word": " آخرين", "probability": 0.8898111979166666}], "temperature": 1.0}, {"id": 87, "seek": 205631, "start": 2051.43, "end": 2056.31, "text": "Power Series يعني متسلسلات القوة", "tokens": [46057, 13934, 37495, 22653, 44650, 3794, 1211, 3794, 1211, 9307, 25062, 2407, 3660], "avg_logprob": -0.0888671875, "compression_ratio": 0.875, "no_speech_prob": 0.0, "words": [{"start": 2051.43, "end": 2052.83, "word": "Power", "probability": 0.76904296875}, {"start": 2052.83, "end": 2053.39, "word": " Series", "probability": 0.677734375}, {"start": 2053.39, "end": 2053.87, "word": " يعني", "probability": 0.85595703125}, {"start": 2053.87, "end": 2055.45, "word": " متسلسلات", "probability": 0.9903157552083334}, {"start": 2055.45, "end": 2056.31, "word": " القوة", "probability": 0.9715169270833334}], "temperature": 1.0}, {"id": 88, "seek": 208628, "start": 2057.2, "end": 2086.28, "text": "كويس إذا هذه بتختلف عن ما سبقها من ناحية الشكل ال X عندي variable متغير مش مقدار ف فبقول ال power series هي أدارة عن series في الشكل التالي summation من N equal zero to infinity لCNX ناقص ال A to the power M ممكن نفكر ال summation و نكتبها على الشكل اللي قدامنا هذا C9 C1 مضروبة في X ناقص ال A", "tokens": [4117, 45865, 3794, 11933, 15730, 29538, 39894, 46456, 46538, 18871, 19446, 8608, 3555, 4587, 11296, 9154, 8717, 39319, 10632, 25124, 28820, 2423, 1783, 18871, 16254, 7006, 44650, 17082, 13546, 37893, 3714, 28543, 9640, 6156, 6156, 3555, 39648, 2423, 1347, 2638, 39896, 5551, 3215, 9640, 3660, 18871, 2638, 8978, 25124, 28820, 16712, 6027, 1829, 28811, 9154, 426, 2681, 4018, 281, 13202, 5296, 34, 45, 55, 8717, 995, 4587, 9381, 2423, 316, 281, 264, 1347, 376, 3714, 43020, 8717, 5172, 37983, 2423, 28811, 4032, 8717, 4117, 2655, 3555, 11296, 15844, 25124, 28820, 13672, 1829, 12174, 3215, 10943, 8315, 23758, 383, 24, 383, 16, 3714, 11242, 32887, 49401, 8978, 1783, 8717, 995, 4587, 9381, 2423, 316], "avg_logprob": -0.2631578863712779, "compression_ratio": 1.6199261992619927, "no_speech_prob": 0.0, "words": [{"start": 2057.2, "end": 2057.72, "word": "كويس", "probability": 0.5166422526041666}, {"start": 2057.72, "end": 2058.2, "word": " إذا", "probability": 0.5302734375}, {"start": 2058.2, "end": 2058.56, "word": " هذه", "probability": 0.51513671875}, {"start": 2058.56, "end": 2059.22, "word": " بتختلف", "probability": 0.7511393229166666}, {"start": 2059.22, "end": 2059.46, "word": " عن", "probability": 0.7958984375}, {"start": 2059.46, "end": 2059.58, "word": " ما", "probability": 0.73974609375}, {"start": 2059.58, "end": 2060.32, "word": " سبقها", "probability": 0.9779052734375}, {"start": 2060.32, "end": 2060.6, "word": " من", "probability": 0.94287109375}, {"start": 2060.6, "end": 2061.26, "word": " ناحية", "probability": 0.9864908854166666}, {"start": 2061.26, "end": 2061.82, "word": " الشكل", "probability": 0.97998046875}, {"start": 2061.82, "end": 2062.58, "word": " ال", "probability": 0.72607421875}, {"start": 2062.58, "end": 2062.78, "word": " X", "probability": 0.6103515625}, {"start": 2062.78, "end": 2063.2, "word": " عندي", "probability": 0.87548828125}, {"start": 2063.2, "end": 2064.06, "word": " variable", "probability": 0.74267578125}, {"start": 2064.06, "end": 2065.14, "word": " متغير", "probability": 0.9658203125}, {"start": 2065.14, "end": 2065.38, "word": " مش", "probability": 0.9287109375}, {"start": 2065.38, "end": 2066.24, "word": " مقدار", "probability": 0.8787434895833334}, {"start": 2066.24, "end": 2066.6, "word": " ف", "probability": 0.92626953125}, {"start": 2066.6, "end": 2068.1, "word": " فبقول", "probability": 0.5843098958333334}, {"start": 2068.1, "end": 2068.3, "word": " ال", "probability": 0.79052734375}, {"start": 2068.3, "end": 2068.52, "word": " power", "probability": 0.84326171875}, {"start": 2068.52, "end": 2068.88, "word": " series", "probability": 0.5791015625}, {"start": 2068.88, "end": 2069.12, "word": " هي", "probability": 0.88134765625}, {"start": 2069.12, "end": 2069.5, "word": " أدارة", "probability": 0.665802001953125}, {"start": 2069.5, "end": 2069.64, "word": " عن", "probability": 0.472900390625}, {"start": 2069.64, "end": 2069.9, "word": " series", "probability": 0.435302734375}, {"start": 2069.9, "end": 2070.08, "word": " في", "probability": 0.82666015625}, {"start": 2070.08, "end": 2070.6, "word": " الشكل", "probability": 0.972412109375}, {"start": 2070.6, "end": 2071.28, "word": " التالي", "probability": 0.9806315104166666}, {"start": 2071.28, "end": 2071.8, "word": " summation", "probability": 0.66845703125}, {"start": 2071.8, "end": 2072.34, "word": " من", "probability": 0.94775390625}, {"start": 2072.34, "end": 2072.62, "word": " N", "probability": 0.478271484375}, {"start": 2072.62, "end": 2072.96, "word": " equal", "probability": 0.203857421875}, {"start": 2072.96, "end": 2073.28, "word": " zero", "probability": 0.50439453125}, {"start": 2073.28, "end": 2073.52, "word": " to", "probability": 0.94775390625}, {"start": 2073.52, "end": 2074.06, "word": " infinity", "probability": 0.87890625}, {"start": 2074.06, "end": 2075.94, "word": " لCNX", "probability": 0.613525390625}, {"start": 2075.94, "end": 2076.58, "word": " ناقص", "probability": 0.9034423828125}, {"start": 2076.58, "end": 2076.8, "word": " ال", "probability": 0.77099609375}, {"start": 2076.8, "end": 2077.18, "word": " A", "probability": 0.7119140625}, {"start": 2077.18, "end": 2077.5, "word": " to", "probability": 0.91357421875}, {"start": 2077.5, "end": 2077.82, "word": " the", "probability": 0.89013671875}, {"start": 2077.82, "end": 2078.26, "word": " power", "probability": 0.88671875}, {"start": 2078.26, "end": 2078.66, "word": " M", "probability": 0.60595703125}, {"start": 2078.66, "end": 2079.56, "word": " ممكن", "probability": 0.97265625}, {"start": 2079.56, "end": 2080.0, "word": " نفكر", "probability": 0.8621419270833334}, {"start": 2080.0, "end": 2080.16, "word": " ال", "probability": 0.78857421875}, {"start": 2080.16, "end": 2080.54, "word": " summation", "probability": 0.9580078125}, {"start": 2080.54, "end": 2080.76, "word": " و", "probability": 0.78369140625}, {"start": 2080.76, "end": 2081.1, "word": " نكتبها", "probability": 0.804833984375}, {"start": 2081.1, "end": 2081.26, "word": " على", "probability": 0.7724609375}, {"start": 2081.26, "end": 2081.58, "word": " الشكل", "probability": 0.9853515625}, {"start": 2081.58, "end": 2081.74, "word": " اللي", "probability": 0.90771484375}, {"start": 2081.74, "end": 2082.38, "word": " قدامنا", "probability": 0.917724609375}, {"start": 2082.38, "end": 2082.68, "word": " هذا", "probability": 0.6611328125}, {"start": 2082.68, "end": 2083.6, "word": " C9", "probability": 0.633056640625}, {"start": 2083.6, "end": 2084.52, "word": " C1", "probability": 0.81640625}, {"start": 2084.52, "end": 2084.98, "word": " مضروبة", "probability": 0.865234375}, {"start": 2084.98, "end": 2085.16, "word": " في", "probability": 0.92529296875}, {"start": 2085.16, "end": 2085.38, "word": " X", "probability": 0.97802734375}, {"start": 2085.38, "end": 2085.82, "word": " ناقص", "probability": 0.9769287109375}, {"start": 2085.82, "end": 2086.0, "word": " ال", "probability": 0.90625}, {"start": 2086.0, "end": 2086.28, "word": " A", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 89, "seek": 211148, "start": 2086.54, "end": 2111.48, "text": "C2 في الـ X ناقص A لكل تربيع زائد زائد C X ناقص A to the power N كل السيهات اللي عندي هدول و ال A معاهم ثوابت ال A بسميها مركز ال power series ليش مركز ال power series و الله ايش معناه هذا ما سنوضحه بعد قليل ان شاء الله", "tokens": [34, 17, 8978, 2423, 39184, 1783, 8717, 995, 4587, 9381, 316, 5296, 28820, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 30767, 16373, 3215, 383, 1783, 8717, 995, 4587, 9381, 316, 281, 264, 1347, 426, 28242, 21136, 1829, 3224, 9307, 13672, 1829, 18871, 16254, 8032, 3215, 12610, 4032, 2423, 316, 20449, 995, 16095, 38637, 14407, 3555, 2655, 2423, 316, 4724, 38251, 1829, 11296, 3714, 31747, 11622, 2423, 1347, 2638, 32239, 8592, 3714, 31747, 11622, 2423, 1347, 2638, 4032, 21984, 1975, 1829, 8592, 20449, 8315, 3224, 23758, 19446, 8608, 1863, 2407, 11242, 5016, 3224, 39182, 12174, 20292, 1211, 16472, 13412, 16606, 21984], "avg_logprob": -0.26516088164678897, "compression_ratio": 1.725, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2086.54, "end": 2087.2, "word": "C2", "probability": 0.4935302734375}, {"start": 2087.2, "end": 2087.36, "word": " في", "probability": 0.212158203125}, {"start": 2087.36, "end": 2087.48, "word": " الـ", "probability": 0.412109375}, {"start": 2087.48, "end": 2087.64, "word": " X", "probability": 0.60400390625}, {"start": 2087.64, "end": 2088.3, "word": " ناقص", "probability": 0.89306640625}, {"start": 2088.3, "end": 2088.6, "word": " A", "probability": 0.82421875}, {"start": 2088.6, "end": 2088.98, "word": " لكل", "probability": 0.9482421875}, {"start": 2088.98, "end": 2089.56, "word": " تربيع", "probability": 0.78662109375}, {"start": 2089.56, "end": 2090.36, "word": " زائد", "probability": 0.561279296875}, {"start": 2090.36, "end": 2090.72, "word": " زائد", "probability": 0.90234375}, {"start": 2090.72, "end": 2090.96, "word": " C", "probability": 0.68017578125}, {"start": 2090.96, "end": 2091.36, "word": " X", "probability": 0.17578125}, {"start": 2091.36, "end": 2092.02, "word": " ناقص", "probability": 0.97265625}, {"start": 2092.02, "end": 2092.48, "word": " A", "probability": 0.68603515625}, {"start": 2092.48, "end": 2093.04, "word": " to", "probability": 0.1494140625}, {"start": 2093.04, "end": 2093.26, "word": " the", "probability": 0.845703125}, {"start": 2093.26, "end": 2093.64, "word": " power", "probability": 0.8779296875}, {"start": 2093.64, "end": 2094.02, "word": " N", "probability": 0.5654296875}, {"start": 2094.02, "end": 2094.72, "word": " كل", "probability": 0.5771484375}, {"start": 2094.72, "end": 2095.46, "word": " السيهات", "probability": 0.68109130859375}, {"start": 2095.46, "end": 2095.68, "word": " اللي", "probability": 0.8662109375}, {"start": 2095.68, "end": 2096.06, "word": " عندي", "probability": 0.6455078125}, {"start": 2096.06, "end": 2096.58, "word": " هدول", "probability": 0.85693359375}, {"start": 2096.58, "end": 2097.34, "word": " و", "probability": 0.495849609375}, {"start": 2097.34, "end": 2097.64, "word": " ال", "probability": 0.52490234375}, {"start": 2097.64, "end": 2097.88, "word": " A", "probability": 0.61279296875}, {"start": 2097.88, "end": 2098.64, "word": " معاهم", "probability": 0.9737955729166666}, {"start": 2098.64, "end": 2099.86, "word": " ثوابت", "probability": 0.9029541015625}, {"start": 2099.86, "end": 2100.54, "word": " ال", "probability": 0.75732421875}, {"start": 2100.54, "end": 2100.9, "word": " A", "probability": 0.94384765625}, {"start": 2100.9, "end": 2101.6, "word": " بسميها", "probability": 0.9736328125}, {"start": 2101.6, "end": 2102.22, "word": " مركز", "probability": 0.98974609375}, {"start": 2102.22, "end": 2102.42, "word": " ال", "probability": 0.8916015625}, {"start": 2102.42, "end": 2102.74, "word": " power", "probability": 0.75390625}, {"start": 2102.74, "end": 2103.4, "word": " series", "probability": 0.88623046875}, {"start": 2103.4, "end": 2104.32, "word": " ليش", "probability": 0.842529296875}, {"start": 2104.32, "end": 2104.8, "word": " مركز", "probability": 0.9933268229166666}, {"start": 2104.8, "end": 2104.98, "word": " ال", "probability": 0.96630859375}, {"start": 2104.98, "end": 2105.26, "word": " power", "probability": 0.890625}, {"start": 2105.26, "end": 2105.7, "word": " series", "probability": 0.8984375}, {"start": 2105.7, "end": 2105.84, "word": " و", "probability": 0.56396484375}, {"start": 2105.84, "end": 2106.0, "word": " الله", "probability": 0.5458984375}, {"start": 2106.0, "end": 2106.36, "word": " ايش", "probability": 0.8001302083333334}, {"start": 2106.36, "end": 2107.12, "word": " معناه", "probability": 0.93408203125}, {"start": 2107.12, "end": 2107.64, "word": " هذا", "probability": 0.8671875}, {"start": 2107.64, "end": 2107.92, "word": " ما", "probability": 0.90576171875}, {"start": 2107.92, "end": 2108.74, "word": " سنوضحه", "probability": 0.9596354166666666}, {"start": 2108.74, "end": 2109.76, "word": " بعد", "probability": 0.9423828125}, {"start": 2109.76, "end": 2110.6, "word": " قليل", "probability": 0.9949544270833334}, {"start": 2110.6, "end": 2110.9, "word": " ان", "probability": 0.8525390625}, {"start": 2110.9, "end": 2111.24, "word": " شاء", "probability": 0.986328125}, {"start": 2111.24, "end": 2111.48, "word": " الله", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 90, "seek": 214171, "start": 2112.44, "end": 2141.72, "text": "لكن ممكن اخد حالة خاصة من هنا شو الحالة الخاصة لو كانت ال a تساوي zero إذا بدها تطير كل ال a من ال series اللي عندنا وتصبح ال series اللي عندنا على الشكل التالي Cn x to the power n يبقى C0 زائد C1x زائد C2x تربيع زائد زائد Cn xn زائد إلى آخرين يبقى هذه اسمها power series", "tokens": [1211, 19452, 3714, 43020, 1975, 9778, 3215, 11331, 6027, 3660, 16490, 33546, 3660, 9154, 34105, 13412, 2407, 21542, 6027, 3660, 33962, 33546, 3660, 45164, 25961, 2655, 2423, 257, 6055, 3794, 995, 45865, 4018, 11933, 15730, 47525, 11296, 6055, 9566, 13546, 28242, 2423, 257, 9154, 2423, 2638, 13672, 1829, 43242, 8315, 34683, 9381, 49628, 2423, 2638, 13672, 1829, 43242, 8315, 15844, 25124, 28820, 16712, 6027, 1829, 383, 77, 2031, 281, 264, 1347, 297, 7251, 3555, 4587, 7578, 383, 15, 30767, 16373, 3215, 383, 16, 87, 30767, 16373, 3215, 383, 17, 87, 6055, 25513, 40228, 30767, 16373, 3215, 30767, 16373, 3215, 383, 77, 2031, 77, 30767, 16373, 3215, 30731, 19753, 34740, 9957, 7251, 3555, 4587, 7578, 29538, 24525, 2304, 11296, 1347, 2638], "avg_logprob": -0.20389980028483493, "compression_ratio": 1.790794979079498, "no_speech_prob": 0.0, "words": [{"start": 2112.44, "end": 2112.82, "word": "لكن", "probability": 0.55242919921875}, {"start": 2112.82, "end": 2113.18, "word": " ممكن", "probability": 0.791015625}, {"start": 2113.18, "end": 2113.58, "word": " اخد", "probability": 0.6810709635416666}, {"start": 2113.58, "end": 2114.06, "word": " حالة", "probability": 0.9754231770833334}, {"start": 2114.06, "end": 2114.52, "word": " خاصة", "probability": 0.9788411458333334}, {"start": 2114.52, "end": 2114.64, "word": " من", "probability": 0.71630859375}, {"start": 2114.64, "end": 2114.78, "word": " هنا", "probability": 0.390380859375}, {"start": 2114.78, "end": 2114.92, "word": " شو", "probability": 0.559814453125}, {"start": 2114.92, "end": 2115.3, "word": " الحالة", "probability": 0.93505859375}, {"start": 2115.3, "end": 2115.94, "word": " الخاصة", "probability": 0.8836263020833334}, {"start": 2115.94, "end": 2116.58, "word": " لو", "probability": 0.408447265625}, {"start": 2116.58, "end": 2117.24, "word": " كانت", "probability": 0.924560546875}, {"start": 2117.24, "end": 2117.5, "word": " ال", "probability": 0.92724609375}, {"start": 2117.5, "end": 2117.9, "word": " a", "probability": 0.4794921875}, {"start": 2117.9, "end": 2118.78, "word": " تساوي", "probability": 0.79620361328125}, {"start": 2118.78, "end": 2119.18, "word": " zero", "probability": 0.405029296875}, {"start": 2119.18, "end": 2119.54, "word": " إذا", "probability": 0.6182861328125}, {"start": 2119.54, "end": 2119.96, "word": " بدها", "probability": 0.7470703125}, {"start": 2119.96, "end": 2120.46, "word": " تطير", "probability": 0.89697265625}, {"start": 2120.46, "end": 2120.96, "word": " كل", "probability": 0.9755859375}, {"start": 2120.96, "end": 2121.26, "word": " ال", "probability": 0.9814453125}, {"start": 2121.26, "end": 2121.66, "word": " a", "probability": 0.935546875}, {"start": 2121.66, "end": 2122.28, "word": " من", "probability": 0.98291015625}, {"start": 2122.28, "end": 2122.46, "word": " ال", "probability": 0.90087890625}, {"start": 2122.46, "end": 2122.74, "word": " series", "probability": 0.9580078125}, {"start": 2122.74, "end": 2123.04, "word": " اللي", "probability": 0.898193359375}, {"start": 2123.04, "end": 2123.5, "word": " عندنا", "probability": 0.967529296875}, {"start": 2123.5, "end": 2124.5, "word": " وتصبح", "probability": 0.8984375}, {"start": 2124.5, "end": 2124.7, "word": " ال", "probability": 0.953125}, {"start": 2124.7, "end": 2125.0, "word": " series", "probability": 0.9501953125}, {"start": 2125.0, "end": 2125.32, "word": " اللي", "probability": 0.978759765625}, {"start": 2125.32, "end": 2126.0, "word": " عندنا", "probability": 0.98974609375}, {"start": 2126.0, "end": 2126.74, "word": " على", "probability": 0.93603515625}, {"start": 2126.74, "end": 2127.34, "word": " الشكل", "probability": 0.98583984375}, {"start": 2127.34, "end": 2127.94, "word": " التالي", "probability": 0.9915364583333334}, {"start": 2127.94, "end": 2128.64, "word": " Cn", "probability": 0.32257080078125}, {"start": 2128.64, "end": 2129.04, "word": " x", "probability": 0.58203125}, {"start": 2129.04, "end": 2129.26, "word": " to", "probability": 0.452880859375}, {"start": 2129.26, "end": 2129.42, "word": " the", "probability": 0.88330078125}, {"start": 2129.42, "end": 2129.72, "word": " power", "probability": 0.8896484375}, {"start": 2129.72, "end": 2130.06, "word": " n", "probability": 0.66943359375}, {"start": 2130.06, "end": 2130.84, "word": " يبقى", "probability": 0.9342041015625}, {"start": 2130.84, "end": 2131.56, "word": " C0", "probability": 0.69873046875}, {"start": 2131.56, "end": 2132.24, "word": " زائد", "probability": 0.6524251302083334}, {"start": 2132.24, "end": 2133.12, "word": " C1x", "probability": 0.8761393229166666}, {"start": 2133.12, "end": 2133.48, "word": " زائد", "probability": 0.9298502604166666}, {"start": 2133.48, "end": 2134.22, "word": " C2x", "probability": 0.9005533854166666}, {"start": 2134.22, "end": 2134.74, "word": " تربيع", "probability": 0.7112630208333334}, {"start": 2134.74, "end": 2135.5, "word": " زائد", "probability": 0.9287109375}, {"start": 2135.5, "end": 2135.88, "word": " زائد", "probability": 0.9830729166666666}, {"start": 2135.88, "end": 2136.52, "word": " Cn", "probability": 0.91064453125}, {"start": 2136.52, "end": 2137.2, "word": " xn", "probability": 0.815185546875}, {"start": 2137.2, "end": 2137.8, "word": " زائد", "probability": 0.9728190104166666}, {"start": 2137.8, "end": 2138.08, "word": " إلى", "probability": 0.6083984375}, {"start": 2138.08, "end": 2138.76, "word": " آخرين", "probability": 0.7808430989583334}, {"start": 2138.76, "end": 2139.76, "word": " يبقى", "probability": 0.9798583984375}, {"start": 2139.76, "end": 2140.14, "word": " هذه", "probability": 0.8134765625}, {"start": 2140.14, "end": 2140.68, "word": " اسمها", "probability": 0.9698893229166666}, {"start": 2140.68, "end": 2141.12, "word": " power", "probability": 0.826171875}, {"start": 2141.12, "end": 2141.72, "word": " series", "probability": 0.916015625}], "temperature": 1.0}, {"id": 91, "seek": 216254, "start": 2142.08, "end": 2162.54, "text": "وهذه اسمها power series مادام ال power series و احنا من اول ال chapter و احنا ماشيين converge و diverge اذا ال series هذه بدي اعرف هل هي converge او diverge او اكتشف تبقى converge و ما إلى ذلك طبعا x متغير على ال real line", "tokens": [2407, 3224, 24192, 24525, 2304, 11296, 1347, 2638, 3714, 18513, 10943, 2423, 1347, 2638, 4032, 1975, 5016, 8315, 9154, 1975, 12610, 2423, 7187, 4032, 1975, 5016, 8315, 3714, 33599, 1829, 9957, 41881, 4032, 18558, 432, 1975, 15730, 2423, 2638, 29538, 4724, 16254, 1975, 3615, 28480, 8032, 1211, 39896, 41881, 1975, 2407, 18558, 432, 1975, 2407, 1975, 4117, 2655, 8592, 5172, 6055, 3555, 4587, 7578, 41881, 4032, 19446, 30731, 29910, 23275, 23032, 3555, 3615, 995, 2031, 44650, 17082, 13546, 15844, 2423, 957, 1622], "avg_logprob": -0.2772966946463987, "compression_ratio": 1.6861702127659575, "no_speech_prob": 0.0, "words": [{"start": 2142.08, "end": 2142.7, "word": "وهذه", "probability": 0.4776204427083333}, {"start": 2142.7, "end": 2143.6, "word": " اسمها", "probability": 0.84326171875}, {"start": 2143.6, "end": 2144.52, "word": " power", "probability": 0.56787109375}, {"start": 2144.52, "end": 2145.36, "word": " series", "probability": 0.89013671875}, {"start": 2145.36, "end": 2146.3, "word": " مادام", "probability": 0.475830078125}, {"start": 2146.3, "end": 2146.46, "word": " ال", "probability": 0.356201171875}, {"start": 2146.46, "end": 2146.7, "word": " power", "probability": 0.6220703125}, {"start": 2146.7, "end": 2147.18, "word": " series", "probability": 0.91943359375}, {"start": 2147.18, "end": 2147.34, "word": " و", "probability": 0.6796875}, {"start": 2147.34, "end": 2147.5, "word": " احنا", "probability": 0.82421875}, {"start": 2147.5, "end": 2147.62, "word": " من", "probability": 0.9619140625}, {"start": 2147.62, "end": 2147.92, "word": " اول", "probability": 0.829833984375}, {"start": 2147.92, "end": 2148.08, "word": " ال", "probability": 0.433837890625}, {"start": 2148.08, "end": 2148.38, "word": " chapter", "probability": 0.89013671875}, {"start": 2148.38, "end": 2148.56, "word": " و", "probability": 0.693359375}, {"start": 2148.56, "end": 2148.74, "word": " احنا", "probability": 0.9391276041666666}, {"start": 2148.74, "end": 2149.26, "word": " ماشيين", "probability": 0.9139404296875}, {"start": 2149.26, "end": 2149.82, "word": " converge", "probability": 0.8583984375}, {"start": 2149.82, "end": 2150.04, "word": " و", "probability": 0.97900390625}, {"start": 2150.04, "end": 2150.74, "word": " diverge", "probability": 0.80126953125}, {"start": 2150.74, "end": 2151.22, "word": " اذا", "probability": 0.72509765625}, {"start": 2151.22, "end": 2151.4, "word": " ال", "probability": 0.74267578125}, {"start": 2151.4, "end": 2151.72, "word": " series", "probability": 0.9423828125}, {"start": 2151.72, "end": 2152.06, "word": " هذه", "probability": 0.544921875}, {"start": 2152.06, "end": 2152.36, "word": " بدي", "probability": 0.520263671875}, {"start": 2152.36, "end": 2152.7, "word": " اعرف", "probability": 0.90869140625}, {"start": 2152.7, "end": 2153.04, "word": " هل", "probability": 0.966064453125}, {"start": 2153.04, "end": 2153.24, "word": " هي", "probability": 0.8369140625}, {"start": 2153.24, "end": 2153.94, "word": " converge", "probability": 0.92626953125}, {"start": 2153.94, "end": 2154.6, "word": " او", "probability": 0.976318359375}, {"start": 2154.6, "end": 2155.36, "word": " diverge", "probability": 0.805419921875}, {"start": 2155.36, "end": 2155.84, "word": " او", "probability": 0.9658203125}, {"start": 2155.84, "end": 2156.5, "word": " اكتشف", "probability": 0.764794921875}, {"start": 2156.5, "end": 2157.22, "word": " تبقى", "probability": 0.9654541015625}, {"start": 2157.22, "end": 2158.26, "word": " converge", "probability": 0.95947265625}, {"start": 2158.26, "end": 2158.56, "word": " و", "probability": 0.96533203125}, {"start": 2158.56, "end": 2158.7, "word": " ما", "probability": 0.69482421875}, {"start": 2158.7, "end": 2158.9, "word": " إلى", "probability": 0.362060546875}, {"start": 2158.9, "end": 2159.12, "word": " ذلك", "probability": 0.5882568359375}, {"start": 2159.12, "end": 2159.56, "word": " طبعا", "probability": 0.9332275390625}, {"start": 2159.56, "end": 2160.04, "word": " x", "probability": 0.390380859375}, {"start": 2160.04, "end": 2161.06, "word": " متغير", "probability": 0.9680989583333334}, {"start": 2161.06, "end": 2161.32, "word": " على", "probability": 0.81982421875}, {"start": 2161.32, "end": 2161.54, "word": " ال", "probability": 0.94189453125}, {"start": 2161.54, "end": 2161.84, "word": " real", "probability": 0.947265625}, {"start": 2161.84, "end": 2162.54, "word": " line", "probability": 0.97119140625}], "temperature": 1.0}, {"id": 92, "seek": 219051, "start": 2162.83, "end": 2190.51, "text": "وبالتالي بدي ابحث ال convergence لل power series يبقى احط لهنوان جانبي convergence of the power series summation من n equal zero to infinity ل cn x نقص ال a to the power n", "tokens": [37746, 6027, 2655, 6027, 1829, 4724, 16254, 48127, 5016, 12984, 2423, 32181, 24976, 1347, 2638, 7251, 3555, 4587, 7578, 1975, 5016, 9566, 46740, 1863, 2407, 7649, 10874, 7649, 21292, 32181, 295, 264, 1347, 2638, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 269, 77, 2031, 8717, 4587, 9381, 2423, 257, 281, 264, 1347, 297], "avg_logprob": -0.2762784231792797, "compression_ratio": 1.4210526315789473, "no_speech_prob": 0.0, "words": [{"start": 2162.83, "end": 2163.89, "word": "وبالتالي", "probability": 0.86845703125}, {"start": 2163.89, "end": 2164.23, "word": " بدي", "probability": 0.7071533203125}, {"start": 2164.23, "end": 2164.75, "word": " ابحث", "probability": 0.9029947916666666}, {"start": 2164.75, "end": 2164.93, "word": " ال", "probability": 0.41845703125}, {"start": 2164.93, "end": 2165.55, "word": " convergence", "probability": 0.880859375}, {"start": 2165.55, "end": 2166.43, "word": " لل", "probability": 0.38671875}, {"start": 2166.43, "end": 2167.53, "word": " power", "probability": 0.470458984375}, {"start": 2167.53, "end": 2168.27, "word": " series", "probability": 0.8994140625}, {"start": 2168.27, "end": 2168.97, "word": " يبقى", "probability": 0.8768310546875}, {"start": 2168.97, "end": 2169.33, "word": " احط", "probability": 0.7815755208333334}, {"start": 2169.33, "end": 2169.99, "word": " لهنوان", "probability": 0.752197265625}, {"start": 2169.99, "end": 2170.87, "word": " جانبي", "probability": 0.9900716145833334}, {"start": 2170.87, "end": 2172.99, "word": " convergence", "probability": 0.96240234375}, {"start": 2172.99, "end": 2174.57, "word": " of", "probability": 0.8916015625}, {"start": 2174.57, "end": 2175.57, "word": " the", "probability": 0.80029296875}, {"start": 2175.57, "end": 2177.13, "word": " power", "probability": 0.869140625}, {"start": 2177.13, "end": 2179.19, "word": " series", "probability": 0.9013671875}, {"start": 2179.19, "end": 2180.61, "word": " summation", "probability": 0.87548828125}, {"start": 2180.61, "end": 2181.99, "word": " من", "probability": 0.794921875}, {"start": 2181.99, "end": 2182.33, "word": " n", "probability": 0.55029296875}, {"start": 2182.33, "end": 2182.89, "word": " equal", "probability": 0.392822265625}, {"start": 2182.89, "end": 2183.35, "word": " zero", "probability": 0.63427734375}, {"start": 2183.35, "end": 2183.65, "word": " to", "probability": 0.96240234375}, {"start": 2183.65, "end": 2184.37, "word": " infinity", "probability": 0.86376953125}, {"start": 2184.37, "end": 2185.15, "word": " ل", "probability": 0.3583984375}, {"start": 2185.15, "end": 2186.21, "word": " cn", "probability": 0.4000244140625}, {"start": 2186.21, "end": 2186.97, "word": " x", "probability": 0.79638671875}, {"start": 2186.97, "end": 2187.71, "word": " نقص", "probability": 0.84521484375}, {"start": 2187.71, "end": 2188.01, "word": " ال", "probability": 0.57568359375}, {"start": 2188.01, "end": 2188.45, "word": " a", "probability": 0.767578125}, {"start": 2188.45, "end": 2189.01, "word": " to", "probability": 0.9150390625}, {"start": 2189.01, "end": 2189.25, "word": " the", "probability": 0.8955078125}, {"start": 2189.25, "end": 2189.89, "word": " power", "probability": 0.90625}, {"start": 2189.89, "end": 2190.51, "word": " n", "probability": 0.91796875}], "temperature": 1.0}, {"id": 93, "seek": 222058, "start": 2191.74, "end": 2220.58, "text": "بنجي للـ Power Series. تمام؟ قد تكون Converge وقد تكون Divergence. بده يشوف وين فترة ال Convergence وين فترة ال Divergence لل Power Series. شوف يا سيدي، أي Power Series إلها إحدى الحالات التلاتة، مش الحالات التلاتة مرة واحدة، لأ، ال Series واحدة اللي هي واحدة من التلات حالته، بنذكرها. الحالة الأولى.", "tokens": [3555, 1863, 7435, 1829, 24976, 39184, 7086, 13934, 13, 46811, 10943, 22807, 12174, 3215, 6055, 30544, 2656, 331, 432, 4032, 28543, 6055, 30544, 413, 1837, 15260, 13, 47525, 3224, 7251, 8592, 38688, 4032, 9957, 6156, 2655, 25720, 2423, 2656, 331, 15260, 4032, 9957, 6156, 2655, 25720, 2423, 413, 1837, 15260, 24976, 7086, 13934, 13, 13412, 38688, 35186, 8608, 1829, 16254, 12399, 36632, 7086, 13934, 11933, 1211, 11296, 11933, 24401, 7578, 21542, 6027, 9307, 16712, 1211, 9307, 3660, 12399, 37893, 21542, 6027, 9307, 16712, 1211, 9307, 3660, 3714, 25720, 36764, 24401, 3660, 12399, 5296, 10721, 12399, 2423, 13934, 36764, 24401, 3660, 13672, 1829, 39896, 36764, 24401, 3660, 9154, 16712, 1211, 9307, 11331, 6027, 47395, 12399, 44945, 8848, 37983, 11296, 13, 21542, 6027, 3660, 16247, 12610, 7578, 13], "avg_logprob": -0.2701771695782819, "compression_ratio": 2.0, "no_speech_prob": 0.0, "words": [{"start": 2191.74, "end": 2192.28, "word": "بنجي", "probability": 0.475433349609375}, {"start": 2192.28, "end": 2192.6, "word": " للـ", "probability": 0.672119140625}, {"start": 2192.6, "end": 2192.9, "word": " Power", "probability": 0.326416015625}, {"start": 2192.9, "end": 2193.48, "word": " Series.", "probability": 0.85791015625}, {"start": 2194.72, "end": 2195.6, "word": " تمام؟", "probability": 0.83251953125}, {"start": 2195.6, "end": 2195.9, "word": " قد", "probability": 0.783203125}, {"start": 2195.9, "end": 2196.28, "word": " تكون", "probability": 0.9853515625}, {"start": 2196.28, "end": 2197.02, "word": " Converge", "probability": 0.6920572916666666}, {"start": 2197.02, "end": 2197.42, "word": " وقد", "probability": 0.831298828125}, {"start": 2197.42, "end": 2198.3, "word": " تكون", "probability": 0.99365234375}, {"start": 2198.3, "end": 2199.62, "word": " Divergence.", "probability": 0.7582194010416666}, {"start": 2199.66, "end": 2199.8, "word": " بده", "probability": 0.353759765625}, {"start": 2199.8, "end": 2200.06, "word": " يشوف", "probability": 0.8888346354166666}, {"start": 2200.06, "end": 2200.6, "word": " وين", "probability": 0.849365234375}, {"start": 2200.6, "end": 2201.2, "word": " فترة", "probability": 0.9913736979166666}, {"start": 2201.2, "end": 2201.52, "word": " ال", "probability": 0.9853515625}, {"start": 2201.52, "end": 2202.44, "word": " Convergence", "probability": 0.76171875}, {"start": 2202.44, "end": 2203.26, "word": " وين", "probability": 0.889892578125}, {"start": 2203.26, "end": 2203.88, "word": " فترة", "probability": 0.9876302083333334}, {"start": 2203.88, "end": 2204.32, "word": " ال", "probability": 0.98828125}, {"start": 2204.32, "end": 2205.12, "word": " Divergence", "probability": 0.8919270833333334}, {"start": 2205.12, "end": 2205.4, "word": " لل", "probability": 0.85986328125}, {"start": 2205.4, "end": 2205.84, "word": " Power", "probability": 0.494140625}, {"start": 2205.84, "end": 2206.44, "word": " Series.", "probability": 0.96826171875}, {"start": 2206.78, "end": 2207.12, "word": " شوف", "probability": 0.861572265625}, {"start": 2207.12, "end": 2207.26, "word": " يا", "probability": 0.9462890625}, {"start": 2207.26, "end": 2208.28, "word": " سيدي،", "probability": 0.7864990234375}, {"start": 2208.28, "end": 2208.56, "word": " أي", "probability": 0.67529296875}, {"start": 2208.56, "end": 2209.0, "word": " Power", "probability": 0.89990234375}, {"start": 2209.0, "end": 2209.42, "word": " Series", "probability": 0.96826171875}, {"start": 2209.42, "end": 2210.12, "word": " إلها", "probability": 0.6969401041666666}, {"start": 2210.12, "end": 2211.32, "word": " إحدى", "probability": 0.947265625}, {"start": 2211.32, "end": 2212.06, "word": " الحالات", "probability": 0.8854166666666666}, {"start": 2212.06, "end": 2212.98, "word": " التلاتة،", "probability": 0.8611328125}, {"start": 2212.98, "end": 2213.28, "word": " مش", "probability": 0.91552734375}, {"start": 2213.28, "end": 2213.72, "word": " الحالات", "probability": 0.98095703125}, {"start": 2213.72, "end": 2214.16, "word": " التلاتة", "probability": 0.9658203125}, {"start": 2214.16, "end": 2214.36, "word": " مرة", "probability": 0.97900390625}, {"start": 2214.36, "end": 2215.2, "word": " واحدة،", "probability": 0.9366455078125}, {"start": 2215.2, "end": 2215.5, "word": " لأ،", "probability": 0.7197265625}, {"start": 2215.5, "end": 2215.64, "word": " ال", "probability": 0.7421875}, {"start": 2215.64, "end": 2215.8, "word": " Series", "probability": 0.328369140625}, {"start": 2215.8, "end": 2216.24, "word": " واحدة", "probability": 0.750732421875}, {"start": 2216.24, "end": 2216.38, "word": " اللي", "probability": 0.57452392578125}, {"start": 2216.38, "end": 2216.46, "word": " هي", "probability": 0.54248046875}, {"start": 2216.46, "end": 2217.06, "word": " واحدة", "probability": 0.9895833333333334}, {"start": 2217.06, "end": 2217.5, "word": " من", "probability": 0.95556640625}, {"start": 2217.5, "end": 2217.86, "word": " التلات", "probability": 0.7049153645833334}, {"start": 2217.86, "end": 2218.32, "word": " حالته،", "probability": 0.699676513671875}, {"start": 2218.32, "end": 2218.84, "word": " بنذكرها.", "probability": 0.781982421875}, {"start": 2219.46, "end": 2220.14, "word": " الحالة", "probability": 0.98779296875}, {"start": 2220.14, "end": 2220.58, "word": " الأولى.", "probability": 0.9871419270833334}], "temperature": 1.0}, {"id": 94, "seek": 224262, "start": 2221.32, "end": 2242.62, "text": "إن ال power series ممكن تكون بس converge عند نقطة و diverge على كل ال real line الباقى ال series قد تكون converge على كل ال real line بلا استثناء و divergence ماعنديش", "tokens": [28814, 1863, 2423, 1347, 2638, 3714, 43020, 6055, 30544, 4724, 3794, 41881, 43242, 8717, 47432, 3660, 4032, 18558, 432, 15844, 28242, 2423, 957, 1622, 29739, 995, 4587, 7578, 2423, 2638, 12174, 3215, 6055, 30544, 41881, 15844, 28242, 2423, 957, 1622, 4724, 15040, 44713, 12984, 1863, 16606, 4032, 47387, 19446, 3615, 1863, 16254, 8592], "avg_logprob": -0.26171875607084344, "compression_ratio": 1.56, "no_speech_prob": 0.0, "words": [{"start": 2221.32, "end": 2221.66, "word": "إن", "probability": 0.60052490234375}, {"start": 2221.66, "end": 2221.84, "word": " ال", "probability": 0.67431640625}, {"start": 2221.84, "end": 2222.14, "word": " power", "probability": 0.373046875}, {"start": 2222.14, "end": 2222.56, "word": " series", "probability": 0.87060546875}, {"start": 2222.56, "end": 2223.02, "word": " ممكن", "probability": 0.9736328125}, {"start": 2223.02, "end": 2223.34, "word": " تكون", "probability": 0.992431640625}, {"start": 2223.34, "end": 2223.84, "word": " بس", "probability": 0.77392578125}, {"start": 2223.84, "end": 2224.46, "word": " converge", "probability": 0.6875}, {"start": 2224.46, "end": 2224.78, "word": " عند", "probability": 0.9658203125}, {"start": 2224.78, "end": 2225.38, "word": " نقطة", "probability": 0.9775390625}, {"start": 2225.38, "end": 2226.16, "word": " و", "probability": 0.69287109375}, {"start": 2226.16, "end": 2226.9, "word": " diverge", "probability": 0.772216796875}, {"start": 2226.9, "end": 2227.12, "word": " على", "probability": 0.775390625}, {"start": 2227.12, "end": 2227.74, "word": " كل", "probability": 0.98583984375}, {"start": 2227.74, "end": 2227.96, "word": " ال", "probability": 0.90185546875}, {"start": 2227.96, "end": 2228.26, "word": " real", "probability": 0.876953125}, {"start": 2228.26, "end": 2228.76, "word": " line", "probability": 0.93115234375}, {"start": 2228.76, "end": 2230.12, "word": " الباقى", "probability": 0.61767578125}, {"start": 2230.12, "end": 2232.7, "word": " ال", "probability": 0.339599609375}, {"start": 2232.7, "end": 2236.26, "word": " series", "probability": 0.73095703125}, {"start": 2236.26, "end": 2236.7, "word": " قد", "probability": 0.98291015625}, {"start": 2236.7, "end": 2237.22, "word": " تكون", "probability": 0.98974609375}, {"start": 2237.22, "end": 2238.02, "word": " converge", "probability": 0.84912109375}, {"start": 2238.02, "end": 2238.3, "word": " على", "probability": 0.859375}, {"start": 2238.3, "end": 2238.78, "word": " كل", "probability": 0.99267578125}, {"start": 2238.78, "end": 2239.02, "word": " ال", "probability": 0.7294921875}, {"start": 2239.02, "end": 2239.26, "word": " real", "probability": 0.9638671875}, {"start": 2239.26, "end": 2239.64, "word": " line", "probability": 0.9609375}, {"start": 2239.64, "end": 2239.96, "word": " بلا", "probability": 0.780517578125}, {"start": 2239.96, "end": 2240.78, "word": " استثناء", "probability": 0.8470458984375}, {"start": 2240.78, "end": 2241.14, "word": " و", "probability": 0.7705078125}, {"start": 2241.14, "end": 2241.66, "word": " divergence", "probability": 0.370361328125}, {"start": 2241.66, "end": 2242.62, "word": " ماعنديش", "probability": 0.928125}], "temperature": 1.0}, {"id": 95, "seek": 227125, "start": 2243.21, "end": 2271.25, "text": "الحالات التالتة ممكن تبقى converge على فترة و diverge برا هذه الفترة، اتفاهم؟ اذا احنا بدنا نرجع لكل حالة من الحالات التلاتة، فيها هنا يا شباب حاجة اسمها فترة التقارب للمتسلسلة، وفي حاجة اسمها نصف قطر التقارب لمن؟ للفترة، طبعا لو ارسم دائرة، في عندك حاجة اسم نصف القطر تبقى دائرة", "tokens": [6027, 5016, 6027, 9307, 16712, 6027, 2655, 3660, 3714, 43020, 6055, 3555, 4587, 7578, 41881, 15844, 6156, 2655, 25720, 4032, 18558, 432, 4724, 23557, 29538, 27188, 2655, 25720, 12399, 1975, 2655, 5172, 995, 16095, 22807, 1975, 15730, 1975, 5016, 8315, 47525, 8315, 8717, 47341, 3615, 5296, 28820, 11331, 6027, 3660, 9154, 21542, 6027, 9307, 16712, 1211, 9307, 3660, 12399, 8978, 11296, 34105, 35186, 13412, 3555, 16758, 11331, 26108, 3660, 24525, 2304, 11296, 6156, 2655, 25720, 16712, 4587, 9640, 3555, 5296, 19528, 2655, 3794, 1211, 3794, 37977, 12399, 4032, 41185, 11331, 26108, 3660, 24525, 2304, 11296, 8717, 9381, 5172, 12174, 9566, 2288, 16712, 4587, 9640, 3555, 5296, 27842, 22807, 24976, 5172, 2655, 25720, 12399, 23032, 3555, 3615, 995, 45164, 1975, 2288, 38251, 11778, 16373, 25720, 12399, 8978, 43242, 4117, 11331, 26108, 3660, 24525, 2304, 8717, 9381, 5172, 25062, 9566, 2288, 6055, 3555, 4587, 7578, 11778, 16373, 25720], "avg_logprob": -0.16879252430533065, "compression_ratio": 2.0889830508474576, "no_speech_prob": 0.0, "words": [{"start": 2243.21, "end": 2243.95, "word": "الحالات", "probability": 0.873779296875}, {"start": 2243.95, "end": 2244.43, "word": " التالتة", "probability": 0.93115234375}, {"start": 2244.43, "end": 2245.29, "word": " ممكن", "probability": 0.867919921875}, {"start": 2245.29, "end": 2245.93, "word": " تبقى", "probability": 0.9788818359375}, {"start": 2245.93, "end": 2246.57, "word": " converge", "probability": 0.3115234375}, {"start": 2246.57, "end": 2246.91, "word": " على", "probability": 0.90087890625}, {"start": 2246.91, "end": 2247.39, "word": " فترة", "probability": 0.9881184895833334}, {"start": 2247.39, "end": 2247.53, "word": " و", "probability": 0.92529296875}, {"start": 2247.53, "end": 2248.59, "word": " diverge", "probability": 0.80078125}, {"start": 2248.59, "end": 2249.23, "word": " برا", "probability": 0.659423828125}, {"start": 2249.23, "end": 2249.65, "word": " هذه", "probability": 0.98779296875}, {"start": 2249.65, "end": 2251.09, "word": " الفترة،", "probability": 0.7908935546875}, {"start": 2251.09, "end": 2252.17, "word": " اتفاهم؟", "probability": 0.7421468098958334}, {"start": 2252.17, "end": 2252.45, "word": " اذا", "probability": 0.80322265625}, {"start": 2252.45, "end": 2252.97, "word": " احنا", "probability": 0.9677734375}, {"start": 2252.97, "end": 2253.35, "word": " بدنا", "probability": 0.856689453125}, {"start": 2253.35, "end": 2253.71, "word": " نرجع", "probability": 0.8489583333333334}, {"start": 2253.71, "end": 2254.15, "word": " لكل", "probability": 0.951904296875}, {"start": 2254.15, "end": 2254.53, "word": " حالة", "probability": 0.9944661458333334}, {"start": 2254.53, "end": 2254.65, "word": " من", "probability": 0.9921875}, {"start": 2254.65, "end": 2255.27, "word": " الحالات", "probability": 0.9612630208333334}, {"start": 2255.27, "end": 2256.43, "word": " التلاتة،", "probability": 0.88896484375}, {"start": 2256.43, "end": 2256.65, "word": " فيها", "probability": 0.7568359375}, {"start": 2256.65, "end": 2256.81, "word": " هنا", "probability": 0.0924072265625}, {"start": 2256.81, "end": 2256.97, "word": " يا", "probability": 0.484375}, {"start": 2256.97, "end": 2257.29, "word": " شباب", "probability": 0.9899088541666666}, {"start": 2257.29, "end": 2257.95, "word": " حاجة", "probability": 0.9111328125}, {"start": 2257.95, "end": 2258.29, "word": " اسمها", "probability": 0.7763671875}, {"start": 2258.29, "end": 2258.95, "word": " فترة", "probability": 0.9876302083333334}, {"start": 2258.95, "end": 2260.15, "word": " التقارب", "probability": 0.9962158203125}, {"start": 2260.15, "end": 2261.99, "word": " للمتسلسلة،", "probability": 0.89715576171875}, {"start": 2261.99, "end": 2262.23, "word": " وفي", "probability": 0.8310546875}, {"start": 2262.23, "end": 2262.63, "word": " حاجة", "probability": 0.9378255208333334}, {"start": 2262.63, "end": 2263.07, "word": " اسمها", "probability": 0.9420572916666666}, {"start": 2263.07, "end": 2263.81, "word": " نصف", "probability": 0.9928385416666666}, {"start": 2263.81, "end": 2264.19, "word": " قطر", "probability": 0.9591471354166666}, {"start": 2264.19, "end": 2265.33, "word": " التقارب", "probability": 0.9945068359375}, {"start": 2265.33, "end": 2266.45, "word": " لمن؟", "probability": 0.7794596354166666}, {"start": 2266.45, "end": 2267.45, "word": " للفترة،", "probability": 0.82431640625}, {"start": 2267.45, "end": 2267.77, "word": " طبعا", "probability": 0.9853515625}, {"start": 2267.77, "end": 2267.89, "word": " لو", "probability": 0.8173828125}, {"start": 2267.89, "end": 2268.35, "word": " ارسم", "probability": 0.6888834635416666}, {"start": 2268.35, "end": 2269.05, "word": " دائرة،", "probability": 0.8594970703125}, {"start": 2269.05, "end": 2269.13, "word": " في", "probability": 0.884765625}, {"start": 2269.13, "end": 2269.39, "word": " عندك", "probability": 0.811767578125}, {"start": 2269.39, "end": 2269.63, "word": " حاجة", "probability": 0.994140625}, {"start": 2269.63, "end": 2269.73, "word": " اسم", "probability": 0.8896484375}, {"start": 2269.73, "end": 2270.09, "word": " نصف", "probability": 0.775390625}, {"start": 2270.09, "end": 2270.47, "word": " القطر", "probability": 0.8509114583333334}, {"start": 2270.47, "end": 2270.77, "word": " تبقى", "probability": 0.93017578125}, {"start": 2270.77, "end": 2271.25, "word": " دائرة", "probability": 0.8233235677083334}], "temperature": 1.0}, {"id": 96, "seek": 229654, "start": 2271.64, "end": 2296.54, "text": "بقى الدائرة نقول تقارب يبقى بدى يعرف كده نصف قطرة تقارب، تمام؟ الدائرة إليها مركز بقول إنها مركز الدائرة، يبقى هنا إيش قولنا؟ مركز ال power series، مركز ال power series هو مين؟ هو النقطة إيه اللي عندنا ال X بتبقى على مينها؟ وعلى شمالها ال series converge حواليها", "tokens": [3555, 4587, 7578, 32748, 16373, 25720, 8717, 39648, 6055, 4587, 9640, 3555, 7251, 3555, 4587, 7578, 47525, 7578, 37495, 28480, 9122, 3215, 3224, 8717, 9381, 5172, 12174, 9566, 25720, 6055, 4587, 9640, 3555, 12399, 46811, 10943, 22807, 32748, 16373, 25720, 11933, 20292, 11296, 3714, 31747, 11622, 4724, 39648, 36145, 11296, 3714, 31747, 11622, 32748, 16373, 25720, 12399, 7251, 3555, 4587, 7578, 34105, 11933, 1829, 8592, 12174, 12610, 8315, 22807, 3714, 31747, 11622, 2423, 1347, 2638, 12399, 3714, 31747, 11622, 2423, 1347, 2638, 31439, 3714, 9957, 22807, 31439, 28239, 47432, 3660, 11933, 1829, 3224, 13672, 1829, 43242, 8315, 2423, 1783, 39894, 3555, 4587, 7578, 15844, 3714, 9957, 11296, 22807, 4032, 3615, 23942, 13412, 2304, 6027, 11296, 2423, 2638, 41881, 11331, 2407, 6027, 1829, 11296], "avg_logprob": -0.28251007728038297, "compression_ratio": 1.968609865470852, "no_speech_prob": 0.0, "words": [{"start": 2271.64, "end": 2272.04, "word": "بقى", "probability": 0.6809895833333334}, {"start": 2272.04, "end": 2272.32, "word": " الدائرة", "probability": 0.8312174479166666}, {"start": 2272.32, "end": 2272.76, "word": " نقول", "probability": 0.298065185546875}, {"start": 2272.76, "end": 2273.44, "word": " تقارب", "probability": 0.9468994140625}, {"start": 2273.44, "end": 2274.0, "word": " يبقى", "probability": 0.6785888671875}, {"start": 2274.0, "end": 2274.2, "word": " بدى", "probability": 0.45172119140625}, {"start": 2274.2, "end": 2274.4, "word": " يعرف", "probability": 0.925048828125}, {"start": 2274.4, "end": 2274.96, "word": " كده", "probability": 0.7091471354166666}, {"start": 2274.96, "end": 2275.76, "word": " نصف", "probability": 0.9378255208333334}, {"start": 2275.76, "end": 2276.28, "word": " قطرة", "probability": 0.8196614583333334}, {"start": 2276.28, "end": 2277.7, "word": " تقارب،", "probability": 0.72890625}, {"start": 2277.7, "end": 2278.96, "word": " تمام؟", "probability": 0.6980794270833334}, {"start": 2278.96, "end": 2279.58, "word": " الدائرة", "probability": 0.9680989583333334}, {"start": 2279.58, "end": 2279.9, "word": " إليها", "probability": 0.48492431640625}, {"start": 2279.9, "end": 2280.48, "word": " مركز", "probability": 0.9900716145833334}, {"start": 2280.48, "end": 2281.1, "word": " بقول", "probability": 0.6231689453125}, {"start": 2281.1, "end": 2281.34, "word": " إنها", "probability": 0.42584228515625}, {"start": 2281.34, "end": 2281.72, "word": " مركز", "probability": 0.9931640625}, {"start": 2281.72, "end": 2282.28, "word": " الدائرة،", "probability": 0.8642578125}, {"start": 2282.28, "end": 2282.54, "word": " يبقى", "probability": 0.9578857421875}, {"start": 2282.54, "end": 2282.78, "word": " هنا", "probability": 0.9873046875}, {"start": 2282.78, "end": 2282.94, "word": " إيش", "probability": 0.7416178385416666}, {"start": 2282.94, "end": 2284.1, "word": " قولنا؟", "probability": 0.787841796875}, {"start": 2284.1, "end": 2285.14, "word": " مركز", "probability": 0.9920247395833334}, {"start": 2285.14, "end": 2285.54, "word": " ال", "probability": 0.9638671875}, {"start": 2285.54, "end": 2286.1, "word": " power", "probability": 0.65673828125}, {"start": 2286.1, "end": 2286.78, "word": " series،", "probability": 0.6739501953125}, {"start": 2286.78, "end": 2287.2, "word": " مركز", "probability": 0.9454752604166666}, {"start": 2287.2, "end": 2287.32, "word": " ال", "probability": 0.9697265625}, {"start": 2287.32, "end": 2287.54, "word": " power", "probability": 0.8779296875}, {"start": 2287.54, "end": 2287.88, "word": " series", "probability": 0.9091796875}, {"start": 2287.88, "end": 2288.08, "word": " هو", "probability": 0.98681640625}, {"start": 2288.08, "end": 2288.78, "word": " مين؟", "probability": 0.7058919270833334}, {"start": 2288.78, "end": 2289.08, "word": " هو", "probability": 0.974609375}, {"start": 2289.08, "end": 2290.04, "word": " النقطة", "probability": 0.9755859375}, {"start": 2290.04, "end": 2290.36, "word": " إيه", "probability": 0.7750651041666666}, {"start": 2290.36, "end": 2290.5, "word": " اللي", "probability": 0.894775390625}, {"start": 2290.5, "end": 2291.08, "word": " عندنا", "probability": 0.984130859375}, {"start": 2291.08, "end": 2291.6, "word": " ال", "probability": 0.46875}, {"start": 2291.6, "end": 2291.86, "word": " X", "probability": 0.72607421875}, {"start": 2291.86, "end": 2292.46, "word": " بتبقى", "probability": 0.943603515625}, {"start": 2292.46, "end": 2292.62, "word": " على", "probability": 0.65185546875}, {"start": 2292.62, "end": 2293.34, "word": " مينها؟", "probability": 0.74951171875}, {"start": 2293.34, "end": 2293.66, "word": " وعلى", "probability": 0.828125}, {"start": 2293.66, "end": 2294.34, "word": " شمالها", "probability": 0.9837646484375}, {"start": 2294.34, "end": 2294.88, "word": " ال", "probability": 0.472412109375}, {"start": 2294.88, "end": 2295.14, "word": " series", "probability": 0.9228515625}, {"start": 2295.14, "end": 2295.82, "word": " converge", "probability": 0.88916015625}, {"start": 2295.82, "end": 2296.54, "word": " حواليها", "probability": 0.8646484375}], "temperature": 1.0}, {"id": 97, "seek": 230508, "start": 2296.8, "end": 2305.08, "text": "يبقى هي بتيجي في مركز التقارب اللي بسميه مركز ال power series الان هاوريكي بالرسم", "tokens": [1829, 3555, 4587, 7578, 39896, 39894, 1829, 7435, 1829, 8978, 3714, 31747, 11622, 16712, 4587, 9640, 3555, 13672, 1829, 4724, 38251, 1829, 3224, 3714, 31747, 11622, 2423, 1347, 2638, 2423, 7649, 8032, 995, 13063, 1829, 4117, 1829, 20666, 2288, 38251], "avg_logprob": -0.26733994483947754, "compression_ratio": 1.3431372549019607, "no_speech_prob": 0.0, "words": [{"start": 2296.8, "end": 2297.32, "word": "يبقى", "probability": 0.691650390625}, {"start": 2297.32, "end": 2297.46, "word": " هي", "probability": 0.36669921875}, {"start": 2297.46, "end": 2297.98, "word": " بتيجي", "probability": 0.8111572265625}, {"start": 2297.98, "end": 2298.24, "word": " في", "probability": 0.77978515625}, {"start": 2298.24, "end": 2299.18, "word": " مركز", "probability": 0.9889322916666666}, {"start": 2299.18, "end": 2300.3, "word": " التقارب", "probability": 0.9764404296875}, {"start": 2300.3, "end": 2300.76, "word": " اللي", "probability": 0.72802734375}, {"start": 2300.76, "end": 2301.28, "word": " بسميه", "probability": 0.9661865234375}, {"start": 2301.28, "end": 2301.68, "word": " مركز", "probability": 0.98486328125}, {"start": 2301.68, "end": 2301.82, "word": " ال", "probability": 0.888671875}, {"start": 2301.82, "end": 2302.14, "word": " power", "probability": 0.8466796875}, {"start": 2302.14, "end": 2302.72, "word": " series", "probability": 0.8955078125}, {"start": 2302.72, "end": 2303.28, "word": " الان", "probability": 0.5604248046875}, {"start": 2303.28, "end": 2303.94, "word": " هاوريكي", "probability": 0.8297526041666666}, {"start": 2303.94, "end": 2305.08, "word": " بالرسم", "probability": 0.8466796875}], "temperature": 1.0}, {"id": 98, "seek": 232962, "start": 2308.28, "end": 2329.62, "text": "السيريز نمروحها قد تكون converge عندها نقطة، إذا كانت converge عندها نقطة، يبقى كم نصف قطر التقارب؟ صفر، تمام، لإن ماعنديش إلا نقطة، كم طول النقطة؟ صفر، يبقى نصف القطر التقارب يسوء صفر، الحالة التانية، السيريز تكون converge على كل ال real line", "tokens": [6027, 3794, 13546, 1829, 11622, 8717, 29973, 2407, 5016, 11296, 12174, 3215, 6055, 30544, 41881, 43242, 11296, 8717, 47432, 3660, 12399, 11933, 15730, 25961, 2655, 41881, 43242, 11296, 8717, 47432, 3660, 12399, 7251, 3555, 4587, 7578, 9122, 2304, 8717, 9381, 5172, 12174, 9566, 2288, 16712, 4587, 9640, 3555, 22807, 20328, 5172, 2288, 12399, 46811, 10943, 12399, 5296, 28814, 1863, 19446, 3615, 1863, 16254, 8592, 11933, 15040, 8717, 47432, 3660, 12399, 9122, 2304, 23032, 12610, 28239, 47432, 3660, 22807, 20328, 5172, 2288, 12399, 7251, 3555, 4587, 7578, 8717, 9381, 5172, 25062, 9566, 2288, 16712, 4587, 9640, 3555, 7251, 3794, 2407, 38207, 20328, 5172, 2288, 12399, 21542, 6027, 3660, 16712, 7649, 10632, 12399, 2423, 3794, 13546, 1829, 11622, 6055, 30544, 41881, 15844, 28242, 2423, 957, 1622], "avg_logprob": -0.25275000286102295, "compression_ratio": 2.0, "no_speech_prob": 0.0, "words": [{"start": 2308.2799999999997, "end": 2309.14, "word": "السيريز", "probability": 0.653955078125}, {"start": 2309.14, "end": 2310.0, "word": " نمروحها", "probability": 0.4176025390625}, {"start": 2310.0, "end": 2310.34, "word": " قد", "probability": 0.7236328125}, {"start": 2310.34, "end": 2310.66, "word": " تكون", "probability": 0.9873046875}, {"start": 2310.66, "end": 2311.1, "word": " converge", "probability": 0.30810546875}, {"start": 2311.1, "end": 2311.48, "word": " عندها", "probability": 0.84521484375}, {"start": 2311.48, "end": 2312.44, "word": " نقطة،", "probability": 0.869873046875}, {"start": 2312.44, "end": 2312.8, "word": " إذا", "probability": 0.837646484375}, {"start": 2312.8, "end": 2313.2, "word": " كانت", "probability": 0.89501953125}, {"start": 2313.2, "end": 2313.58, "word": " converge", "probability": 0.7333984375}, {"start": 2313.58, "end": 2313.98, "word": " عندها", "probability": 0.974609375}, {"start": 2313.98, "end": 2314.42, "word": " نقطة،", "probability": 0.8992919921875}, {"start": 2314.42, "end": 2314.92, "word": " يبقى", "probability": 0.9444580078125}, {"start": 2314.92, "end": 2314.92, "word": " كم", "probability": 0.788330078125}, {"start": 2314.92, "end": 2315.3, "word": " نصف", "probability": 0.96044921875}, {"start": 2315.3, "end": 2315.58, "word": " قطر", "probability": 0.7442220052083334}, {"start": 2315.58, "end": 2317.12, "word": " التقارب؟", "probability": 0.9814453125}, {"start": 2317.12, "end": 2318.12, "word": " صفر،", "probability": 0.7469482421875}, {"start": 2318.12, "end": 2318.74, "word": " تمام،", "probability": 0.7815755208333334}, {"start": 2318.74, "end": 2318.84, "word": " لإن", "probability": 0.7142740885416666}, {"start": 2318.84, "end": 2319.24, "word": " ماعنديش", "probability": 0.8248046875}, {"start": 2319.24, "end": 2319.42, "word": " إلا", "probability": 0.865234375}, {"start": 2319.42, "end": 2319.9, "word": " نقطة،", "probability": 0.96484375}, {"start": 2319.9, "end": 2320.18, "word": " كم", "probability": 0.930419921875}, {"start": 2320.18, "end": 2320.4, "word": " طول", "probability": 0.70556640625}, {"start": 2320.4, "end": 2320.86, "word": " النقطة؟", "probability": 0.8905029296875}, {"start": 2320.86, "end": 2321.6, "word": " صفر،", "probability": 0.9034423828125}, {"start": 2321.6, "end": 2322.14, "word": " يبقى", "probability": 0.9842529296875}, {"start": 2322.14, "end": 2322.56, "word": " نصف", "probability": 0.99755859375}, {"start": 2322.56, "end": 2323.04, "word": " القطر", "probability": 0.8673502604166666}, {"start": 2323.04, "end": 2323.68, "word": " التقارب", "probability": 0.998046875}, {"start": 2323.68, "end": 2324.1, "word": " يسوء", "probability": 0.759765625}, {"start": 2324.1, "end": 2325.04, "word": " صفر،", "probability": 0.8675537109375}, {"start": 2325.04, "end": 2325.62, "word": " الحالة", "probability": 0.9353841145833334}, {"start": 2325.62, "end": 2325.98, "word": " التانية،", "probability": 0.8323974609375}, {"start": 2325.98, "end": 2326.16, "word": " السيريز", "probability": 0.835302734375}, {"start": 2326.16, "end": 2326.36, "word": " تكون", "probability": 0.382080078125}, {"start": 2326.36, "end": 2327.1, "word": " converge", "probability": 0.53369140625}, {"start": 2327.1, "end": 2327.78, "word": " على", "probability": 0.806640625}, {"start": 2327.78, "end": 2328.32, "word": " كل", "probability": 0.9873046875}, {"start": 2328.32, "end": 2328.6, "word": " ال", "probability": 0.58837890625}, {"start": 2328.6, "end": 2328.88, "word": " real", "probability": 0.2452392578125}, {"start": 2328.88, "end": 2329.62, "word": " line", "probability": 0.9296875}], "temperature": 1.0}, {"id": 99, "seek": 234538, "start": 2338.94, "end": 2345.38, "text": "الحالة التالتة ممكن تبقى ال series converge على فترة معينة", "tokens": [6027, 5016, 6027, 3660, 16712, 6027, 2655, 3660, 3714, 43020, 6055, 3555, 4587, 7578, 2423, 2638, 41881, 15844, 6156, 2655, 25720, 20449, 9957, 3660], "avg_logprob": -0.26218749046325684, "compression_ratio": 1.1625, "no_speech_prob": 0.0, "words": [{"start": 2338.94, "end": 2340.34, "word": "الحالة", "probability": 0.5166015625}, {"start": 2340.34, "end": 2341.1, "word": " التالتة", "probability": 0.9171142578125}, {"start": 2341.1, "end": 2341.74, "word": " ممكن", "probability": 0.787353515625}, {"start": 2341.74, "end": 2342.24, "word": " تبقى", "probability": 0.9385986328125}, {"start": 2342.24, "end": 2342.26, "word": " ال", "probability": 0.80078125}, {"start": 2342.26, "end": 2342.52, "word": " series", "probability": 0.52001953125}, {"start": 2342.52, "end": 2343.34, "word": " converge", "probability": 0.93359375}, {"start": 2343.34, "end": 2343.76, "word": " على", "probability": 0.7734375}, {"start": 2343.76, "end": 2344.52, "word": " فترة", "probability": 0.9879557291666666}, {"start": 2344.52, "end": 2345.38, "word": " معينة", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 100, "seek": 236206, "start": 2346.58, "end": 2362.06, "text": "يبقى خارج هذه الفترة الـ series diverse، بدي نصف القطر، بشوف قداش طول الفترة أو مجسمه على مين؟ على الأتنين طب عند طرفين الفترة هذه، ممكن ال series converge عند الطرفين", "tokens": [1829, 3555, 4587, 7578, 16490, 9640, 7435, 29538, 27188, 2655, 25720, 2423, 39184, 2638, 6111, 68, 12399, 4724, 16254, 8717, 9381, 5172, 25062, 9566, 2288, 12399, 4724, 8592, 38688, 12174, 3215, 33599, 23032, 12610, 27188, 2655, 25720, 34051, 3714, 7435, 38251, 3224, 15844, 3714, 9957, 22807, 15844, 16247, 2655, 1863, 9957, 23032, 3555, 43242, 23032, 28480, 9957, 27188, 2655, 25720, 29538, 12399, 3714, 43020, 2423, 2638, 41881, 43242, 41950, 28480, 9957], "avg_logprob": -0.278645832505491, "compression_ratio": 1.6294117647058823, "no_speech_prob": 0.0, "words": [{"start": 2346.58, "end": 2347.36, "word": "يبقى", "probability": 0.7515869140625}, {"start": 2347.36, "end": 2348.12, "word": " خارج", "probability": 0.9728190104166666}, {"start": 2348.12, "end": 2348.44, "word": " هذه", "probability": 0.94580078125}, {"start": 2348.44, "end": 2348.92, "word": " الفترة", "probability": 0.9886067708333334}, {"start": 2348.92, "end": 2349.1, "word": " الـ", "probability": 0.625244140625}, {"start": 2349.1, "end": 2349.52, "word": " series", "probability": 0.58544921875}, {"start": 2349.52, "end": 2350.6, "word": " diverse،", "probability": 0.22904459635416666}, {"start": 2350.6, "end": 2351.02, "word": " بدي", "probability": 0.587890625}, {"start": 2351.02, "end": 2351.36, "word": " نصف", "probability": 0.9031575520833334}, {"start": 2351.36, "end": 2352.14, "word": " القطر،", "probability": 0.8660888671875}, {"start": 2352.14, "end": 2352.5, "word": " بشوف", "probability": 0.9593098958333334}, {"start": 2352.5, "end": 2353.12, "word": " قداش", "probability": 0.640380859375}, {"start": 2353.12, "end": 2353.52, "word": " طول", "probability": 0.986572265625}, {"start": 2353.52, "end": 2353.94, "word": " الفترة", "probability": 0.99169921875}, {"start": 2353.94, "end": 2354.08, "word": " أو", "probability": 0.5634765625}, {"start": 2354.08, "end": 2354.5, "word": " مجسمه", "probability": 0.77392578125}, {"start": 2354.5, "end": 2354.62, "word": " على", "probability": 0.798828125}, {"start": 2354.62, "end": 2355.24, "word": " مين؟", "probability": 0.7159016927083334}, {"start": 2355.24, "end": 2355.7, "word": " على", "probability": 0.8408203125}, {"start": 2355.7, "end": 2356.28, "word": " الأتنين", "probability": 0.82421875}, {"start": 2356.28, "end": 2356.82, "word": " طب", "probability": 0.7734375}, {"start": 2356.82, "end": 2357.16, "word": " عند", "probability": 0.98486328125}, {"start": 2357.16, "end": 2358.1, "word": " طرفين", "probability": 0.6946614583333334}, {"start": 2358.1, "end": 2358.74, "word": " الفترة", "probability": 0.9796549479166666}, {"start": 2358.74, "end": 2359.66, "word": " هذه،", "probability": 0.70751953125}, {"start": 2359.66, "end": 2359.98, "word": " ممكن", "probability": 0.98779296875}, {"start": 2359.98, "end": 2360.16, "word": " ال", "probability": 0.97900390625}, {"start": 2360.16, "end": 2360.36, "word": " series", "probability": 0.6572265625}, {"start": 2360.36, "end": 2361.08, "word": " converge", "probability": 0.89208984375}, {"start": 2361.08, "end": 2361.38, "word": " عند", "probability": 0.97265625}, {"start": 2361.38, "end": 2362.06, "word": " الطرفين", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 101, "seek": 238198, "start": 2362.65, "end": 2381.99, "text": "يمكن ان يكون مختلف عند الطرفين ويمكن ان يكون مختلف عن طرفه ومختلف عن طرفه عند الطرف الآخر لذلك هذا ما سنبحثه في كل مسألة على حدد الكلام اللي انت سمعته بدي اروح الخصه حتى نبدأ ناخد عليه امثلة", "tokens": [32640, 19452, 16472, 7251, 30544, 3714, 46456, 46538, 43242, 41950, 28480, 9957, 4032, 32640, 19452, 16472, 7251, 30544, 3714, 46456, 46538, 18871, 23032, 28480, 3224, 4032, 2304, 46456, 46538, 18871, 23032, 28480, 3224, 43242, 41950, 28480, 6024, 95, 34740, 5296, 8848, 23275, 23758, 19446, 8608, 1863, 49628, 12984, 3224, 8978, 28242, 47524, 10721, 37977, 15844, 11331, 3215, 3215, 2423, 28820, 10943, 13672, 1829, 16472, 2655, 8608, 2304, 34268, 3224, 4724, 16254, 1975, 32887, 5016, 1975, 1211, 9778, 9381, 3224, 11331, 49975, 8717, 44510, 10721, 8717, 47283, 3215, 47356, 1975, 2304, 12984, 37977], "avg_logprob": -0.35047044420755036, "compression_ratio": 2.0727272727272728, "no_speech_prob": 0.0, "words": [{"start": 2362.65, "end": 2363.29, "word": "يمكن", "probability": 0.5841064453125}, {"start": 2363.29, "end": 2363.51, "word": " ان", "probability": 0.44580078125}, {"start": 2363.51, "end": 2363.95, "word": " يكون", "probability": 0.67626953125}, {"start": 2363.95, "end": 2364.23, "word": " مختلف", "probability": 0.3207194010416667}, {"start": 2364.23, "end": 2364.69, "word": " عند", "probability": 0.42919921875}, {"start": 2364.69, "end": 2365.61, "word": " الطرفين", "probability": 0.8479817708333334}, {"start": 2365.61, "end": 2366.59, "word": " ويمكن", "probability": 0.68115234375}, {"start": 2366.59, "end": 2366.67, "word": " ان", "probability": 0.787109375}, {"start": 2366.67, "end": 2366.93, "word": " يكون", "probability": 0.9306640625}, {"start": 2366.93, "end": 2367.27, "word": " مختلف", "probability": 0.7985026041666666}, {"start": 2367.27, "end": 2367.53, "word": " عن", "probability": 0.65283203125}, {"start": 2367.53, "end": 2368.01, "word": " طرفه", "probability": 0.97265625}, {"start": 2368.01, "end": 2368.59, "word": " ومختلف", "probability": 0.68536376953125}, {"start": 2368.59, "end": 2368.99, "word": " عن", "probability": 0.65478515625}, {"start": 2368.99, "end": 2369.23, "word": " طرفه", "probability": 0.7183430989583334}, {"start": 2369.23, "end": 2369.67, "word": " عند", "probability": 0.4453125}, {"start": 2369.67, "end": 2370.15, "word": " الطرف", "probability": 0.94140625}, {"start": 2370.15, "end": 2370.73, "word": " الآخر", "probability": 0.86767578125}, {"start": 2370.73, "end": 2371.61, "word": " لذلك", "probability": 0.6680501302083334}, {"start": 2371.61, "end": 2372.07, "word": " هذا", "probability": 0.857421875}, {"start": 2372.07, "end": 2372.71, "word": " ما", "probability": 0.8271484375}, {"start": 2372.71, "end": 2373.57, "word": " سنبحثه", "probability": 0.91953125}, {"start": 2373.57, "end": 2373.97, "word": " في", "probability": 0.96142578125}, {"start": 2373.97, "end": 2374.41, "word": " كل", "probability": 0.9814453125}, {"start": 2374.41, "end": 2375.09, "word": " مسألة", "probability": 0.9716796875}, {"start": 2375.09, "end": 2375.37, "word": " على", "probability": 0.403076171875}, {"start": 2375.37, "end": 2375.93, "word": " حدد", "probability": 0.7264811197916666}, {"start": 2375.93, "end": 2376.95, "word": " الكلام", "probability": 0.7959798177083334}, {"start": 2376.95, "end": 2377.09, "word": " اللي", "probability": 0.754638671875}, {"start": 2377.09, "end": 2377.31, "word": " انت", "probability": 0.6866455078125}, {"start": 2377.31, "end": 2378.01, "word": " سمعته", "probability": 0.96826171875}, {"start": 2378.01, "end": 2378.67, "word": " بدي", "probability": 0.380615234375}, {"start": 2378.67, "end": 2378.97, "word": " اروح", "probability": 0.66845703125}, {"start": 2378.97, "end": 2379.57, "word": " الخصه", "probability": 0.666845703125}, {"start": 2379.57, "end": 2380.07, "word": " حتى", "probability": 0.7744140625}, {"start": 2380.07, "end": 2380.41, "word": " نبدأ", "probability": 0.8917643229166666}, {"start": 2380.41, "end": 2380.79, "word": " ناخد", "probability": 0.97119140625}, {"start": 2380.79, "end": 2381.29, "word": " عليه", "probability": 0.99365234375}, {"start": 2381.29, "end": 2381.99, "word": " امثلة", "probability": 0.8638916015625}], "temperature": 1.0}, {"id": 102, "seek": 240546, "start": 2382.48, "end": 2405.46, "text": "فبجي بقول ما ياتي four any power series يبقى four لأي power series summation من N equal zero to infinity لمين؟ لCN X ناقص ال A to the power N exactly", "tokens": [5172, 3555, 7435, 1829, 4724, 39648, 19446, 7251, 9307, 1829, 1451, 604, 1347, 2638, 7251, 3555, 4587, 7578, 1451, 5296, 10721, 1829, 1347, 2638, 28811, 9154, 426, 2681, 4018, 281, 13202, 32767, 9957, 22807, 5296, 34, 45, 1783, 8717, 995, 4587, 9381, 2423, 316, 281, 264, 1347, 426, 2293], "avg_logprob": -0.2970312434434891, "compression_ratio": 1.2348993288590604, "no_speech_prob": 0.0, "words": [{"start": 2382.48, "end": 2383.14, "word": "فبجي", "probability": 0.53582763671875}, {"start": 2383.14, "end": 2383.62, "word": " بقول", "probability": 0.9833984375}, {"start": 2383.62, "end": 2383.96, "word": " ما", "probability": 0.36328125}, {"start": 2383.96, "end": 2384.44, "word": " ياتي", "probability": 0.70654296875}, {"start": 2384.44, "end": 2384.86, "word": " four", "probability": 0.414306640625}, {"start": 2384.86, "end": 2385.3, "word": " any", "probability": 0.6103515625}, {"start": 2385.3, "end": 2385.82, "word": " power", "probability": 0.91357421875}, {"start": 2385.82, "end": 2386.6, "word": " series", "probability": 0.90869140625}, {"start": 2386.6, "end": 2387.42, "word": " يبقى", "probability": 0.966552734375}, {"start": 2387.42, "end": 2387.96, "word": " four", "probability": 0.88330078125}, {"start": 2387.96, "end": 2389.52, "word": " لأي", "probability": 0.92333984375}, {"start": 2389.52, "end": 2390.04, "word": " power", "probability": 0.90234375}, {"start": 2390.04, "end": 2390.86, "word": " series", "probability": 0.9052734375}, {"start": 2390.86, "end": 2392.2, "word": " summation", "probability": 0.8271484375}, {"start": 2392.2, "end": 2393.14, "word": " من", "probability": 0.98046875}, {"start": 2393.14, "end": 2393.56, "word": " N", "probability": 0.434814453125}, {"start": 2393.56, "end": 2394.12, "word": " equal", "probability": 0.58203125}, {"start": 2394.12, "end": 2394.76, "word": " zero", "probability": 0.77197265625}, {"start": 2394.76, "end": 2395.1, "word": " to", "probability": 0.97216796875}, {"start": 2395.1, "end": 2396.22, "word": " infinity", "probability": 0.87646484375}, {"start": 2396.22, "end": 2398.28, "word": " لمين؟", "probability": 0.6595052083333334}, {"start": 2398.28, "end": 2399.82, "word": " لCN", "probability": 0.6680501302083334}, {"start": 2399.82, "end": 2400.72, "word": " X", "probability": 0.63134765625}, {"start": 2400.72, "end": 2401.54, "word": " ناقص", "probability": 0.93798828125}, {"start": 2401.54, "end": 2401.78, "word": " ال", "probability": 0.72314453125}, {"start": 2401.78, "end": 2402.24, "word": " A", "probability": 0.40869140625}, {"start": 2402.24, "end": 2402.56, "word": " to", "probability": 0.9560546875}, {"start": 2402.56, "end": 2402.86, "word": " the", "probability": 0.91552734375}, {"start": 2402.86, "end": 2403.36, "word": " power", "probability": 0.8935546875}, {"start": 2403.36, "end": 2403.94, "word": " N", "probability": 0.89990234375}, {"start": 2403.94, "end": 2405.46, "word": " exactly", "probability": 0.82568359375}], "temperature": 1.0}, {"id": 103, "seek": 243737, "start": 2409.93, "end": 2437.37, "text": "واحد من التالي هو حقيقة واحد من التالي هو حقيقة النقطة الأولى السلسلة تتعامل فقط", "tokens": [14407, 24401, 9154, 16712, 6027, 1829, 31439, 11331, 38436, 28671, 36764, 24401, 9154, 16712, 6027, 1829, 31439, 11331, 38436, 28671, 28239, 47432, 3660, 16247, 12610, 7578, 21136, 1211, 3794, 37977, 6055, 2655, 3615, 10943, 1211, 6156, 47432], "avg_logprob": -0.5448190679675654, "compression_ratio": 1.7176470588235293, "no_speech_prob": 0.0, "words": [{"start": 2409.93, "end": 2410.55, "word": "واحد", "probability": 0.538970947265625}, {"start": 2410.55, "end": 2410.79, "word": " من", "probability": 0.77978515625}, {"start": 2410.79, "end": 2411.39, "word": " التالي", "probability": 0.24580891927083334}, {"start": 2411.39, "end": 2411.67, "word": " هو", "probability": 0.85302734375}, {"start": 2411.67, "end": 2412.43, "word": " حقيقة", "probability": 0.6162923177083334}, {"start": 2412.43, "end": 2413.33, "word": " واحد", "probability": 0.609619140625}, {"start": 2413.33, "end": 2414.61, "word": " من", "probability": 0.962890625}, {"start": 2414.61, "end": 2418.45, "word": " التالي", "probability": 0.94189453125}, {"start": 2418.45, "end": 2422.25, "word": " هو", "probability": 0.9599609375}, {"start": 2422.25, "end": 2424.47, "word": " حقيقة", "probability": 0.9794921875}, {"start": 2424.47, "end": 2427.23, "word": " النقطة", "probability": 0.786376953125}, {"start": 2427.23, "end": 2428.73, "word": " الأولى", "probability": 0.9586588541666666}, {"start": 2428.73, "end": 2432.67, "word": " السلسلة", "probability": 0.5152435302734375}, {"start": 2432.67, "end": 2435.83, "word": " تتعامل", "probability": 0.5968505859375}, {"start": 2435.83, "end": 2437.37, "word": " فقط", "probability": 0.834716796875}], "temperature": 1.0}, {"id": 104, "seek": 246815, "start": 2438.67, "end": 2468.15, "text": "فقط at x يساوي a and diverge elsewhere تبقى convergence عند نقطة و diverge عند أي مكان آخر في أي نقطة في هذه الحالة بقول the radius of convergence is", "tokens": [5172, 47432, 412, 2031, 7251, 3794, 995, 45865, 257, 293, 18558, 432, 14517, 6055, 3555, 4587, 7578, 32181, 43242, 8717, 47432, 3660, 4032, 18558, 432, 43242, 36632, 3714, 41361, 19753, 34740, 8978, 36632, 8717, 47432, 3660, 8978, 29538, 21542, 6027, 3660, 4724, 39648, 264, 15845, 295, 32181, 307], "avg_logprob": -0.24792728618699678, "compression_ratio": 1.36, "no_speech_prob": 0.0, "words": [{"start": 2438.67, "end": 2439.51, "word": "فقط", "probability": 0.532623291015625}, {"start": 2439.51, "end": 2440.93, "word": " at", "probability": 0.66845703125}, {"start": 2440.93, "end": 2442.65, "word": " x", "probability": 0.67578125}, {"start": 2442.65, "end": 2443.77, "word": " يساوي", "probability": 0.81744384765625}, {"start": 2443.77, "end": 2444.21, "word": " a", "probability": 0.67529296875}, {"start": 2444.21, "end": 2446.41, "word": " and", "probability": 0.74755859375}, {"start": 2446.41, "end": 2449.49, "word": " diverge", "probability": 0.859130859375}, {"start": 2449.49, "end": 2450.99, "word": " elsewhere", "probability": 0.787109375}, {"start": 2450.99, "end": 2453.55, "word": " تبقى", "probability": 0.713104248046875}, {"start": 2453.55, "end": 2454.09, "word": " convergence", "probability": 0.58544921875}, {"start": 2454.09, "end": 2454.33, "word": " عند", "probability": 0.94140625}, {"start": 2454.33, "end": 2454.89, "word": " نقطة", "probability": 0.94775390625}, {"start": 2454.89, "end": 2455.03, "word": " و", "probability": 0.900390625}, {"start": 2455.03, "end": 2455.97, "word": " diverge", "probability": 0.7308349609375}, {"start": 2455.97, "end": 2456.81, "word": " عند", "probability": 0.97216796875}, {"start": 2456.81, "end": 2457.27, "word": " أي", "probability": 0.7646484375}, {"start": 2457.27, "end": 2457.79, "word": " مكان", "probability": 0.9931640625}, {"start": 2457.79, "end": 2458.23, "word": " آخر", "probability": 0.7130126953125}, {"start": 2458.23, "end": 2458.51, "word": " في", "probability": 0.96044921875}, {"start": 2458.51, "end": 2458.77, "word": " أي", "probability": 0.833984375}, {"start": 2458.77, "end": 2459.27, "word": " نقطة", "probability": 0.9886067708333334}, {"start": 2459.27, "end": 2459.47, "word": " في", "probability": 0.82470703125}, {"start": 2459.47, "end": 2459.87, "word": " هذه", "probability": 0.982421875}, {"start": 2459.87, "end": 2460.59, "word": " الحالة", "probability": 0.9944661458333334}, {"start": 2460.59, "end": 2461.43, "word": " بقول", "probability": 0.951416015625}, {"start": 2461.43, "end": 2461.65, "word": " the", "probability": 0.4736328125}, {"start": 2461.65, "end": 2462.43, "word": " radius", "probability": 0.927734375}, {"start": 2462.43, "end": 2463.69, "word": " of", "probability": 0.94970703125}, {"start": 2463.69, "end": 2466.09, "word": " convergence", "probability": 0.94775390625}, {"start": 2466.09, "end": 2468.15, "word": " is", "probability": 0.9404296875}], "temperature": 1.0}, {"id": 105, "seek": 249492, "start": 2469.35, "end": 2494.93, "text": "ر تساوي زيرو نمرة اتنين the series converge absolutely for all x يبقى على كل ال real line بالاستثناء في هذه الحالة", "tokens": [2288, 6055, 3794, 995, 45865, 30767, 13546, 2407, 8717, 2304, 25720, 1975, 2655, 1863, 9957, 264, 2638, 41881, 3122, 337, 439, 2031, 7251, 3555, 4587, 7578, 15844, 28242, 2423, 957, 1622, 20666, 995, 14851, 12984, 1863, 16606, 8978, 29538, 21542, 6027, 3660], "avg_logprob": -0.328125, "compression_ratio": 1.1785714285714286, "no_speech_prob": 0.0, "words": [{"start": 2469.35, "end": 2469.83, "word": "ر", "probability": 0.186279296875}, {"start": 2469.83, "end": 2470.57, "word": " تساوي", "probability": 0.716461181640625}, {"start": 2470.57, "end": 2471.11, "word": " زيرو", "probability": 0.743408203125}, {"start": 2471.11, "end": 2472.95, "word": " نمرة", "probability": 0.45166015625}, {"start": 2472.95, "end": 2473.57, "word": " اتنين", "probability": 0.9014892578125}, {"start": 2473.57, "end": 2474.69, "word": " the", "probability": 0.0780029296875}, {"start": 2474.69, "end": 2475.55, "word": " series", "probability": 0.88916015625}, {"start": 2475.55, "end": 2477.55, "word": " converge", "probability": 0.888671875}, {"start": 2477.55, "end": 2480.29, "word": " absolutely", "probability": 0.640625}, {"start": 2480.29, "end": 2485.51, "word": " for", "probability": 0.73779296875}, {"start": 2485.51, "end": 2487.53, "word": " all", "probability": 0.951171875}, {"start": 2487.53, "end": 2488.15, "word": " x", "probability": 0.7529296875}, {"start": 2488.15, "end": 2489.33, "word": " يبقى", "probability": 0.8795166015625}, {"start": 2489.33, "end": 2489.55, "word": " على", "probability": 0.87353515625}, {"start": 2489.55, "end": 2490.11, "word": " كل", "probability": 0.978515625}, {"start": 2490.11, "end": 2490.33, "word": " ال", "probability": 0.67041015625}, {"start": 2490.33, "end": 2490.59, "word": " real", "probability": 0.65771484375}, {"start": 2490.59, "end": 2491.25, "word": " line", "probability": 0.9453125}, {"start": 2491.25, "end": 2492.91, "word": " بالاستثناء", "probability": 0.82568359375}, {"start": 2492.91, "end": 2493.77, "word": " في", "probability": 0.81103515625}, {"start": 2493.77, "end": 2494.19, "word": " هذه", "probability": 0.9599609375}, {"start": 2494.19, "end": 2494.93, "word": " الحالة", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 106, "seek": 251608, "start": 2495.54, "end": 2516.08, "text": "بقول the radius of convergence as R تسوى نمرة تلاتة نمرة تلاتة there is a positive real number", "tokens": [3555, 39648, 264, 15845, 295, 32181, 382, 497, 6055, 3794, 2407, 7578, 8717, 2304, 25720, 6055, 1211, 9307, 3660, 8717, 2304, 25720, 6055, 1211, 9307, 3660, 456, 307, 257, 3353, 957, 1230], "avg_logprob": -0.43394886363636365, "compression_ratio": 1.188118811881188, "no_speech_prob": 0.0, "words": [{"start": 2495.54, "end": 2496.2, "word": "بقول", "probability": 0.747314453125}, {"start": 2496.2, "end": 2497.0, "word": " the", "probability": 0.12310791015625}, {"start": 2497.0, "end": 2498.84, "word": " radius", "probability": 0.8955078125}, {"start": 2498.84, "end": 2500.48, "word": " of", "probability": 0.955078125}, {"start": 2500.48, "end": 2503.08, "word": " convergence", "probability": 0.9677734375}, {"start": 2503.08, "end": 2505.36, "word": " as", "probability": 0.476318359375}, {"start": 2505.36, "end": 2506.76, "word": " R", "probability": 0.6748046875}, {"start": 2506.76, "end": 2507.24, "word": " تسوى", "probability": 0.6748046875}, {"start": 2507.24, "end": 2507.66, "word": " نمرة", "probability": 0.4271647135416667}, {"start": 2507.66, "end": 2508.06, "word": " تلاتة", "probability": 0.89990234375}, {"start": 2508.06, "end": 2510.62, "word": " نمرة", "probability": 0.6472574869791666}, {"start": 2510.62, "end": 2511.52, "word": " تلاتة", "probability": 0.9862060546875}, {"start": 2511.52, "end": 2514.16, "word": " there", "probability": 0.38525390625}, {"start": 2514.16, "end": 2514.4, "word": " is", "probability": 0.94384765625}, {"start": 2514.4, "end": 2514.6, "word": " a", "probability": 0.91357421875}, {"start": 2514.6, "end": 2515.02, "word": " positive", "probability": 0.94140625}, {"start": 2515.02, "end": 2515.44, "word": " real", "probability": 0.9423828125}, {"start": 2515.44, "end": 2516.08, "word": " number", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 107, "seek": 255627, "start": 2527.23, "end": 2556.27, "text": "capital R اللي بدي أسميه the radius of convergence نصف قطرة التقارب such that بحيث أن the series", "tokens": [9485, 1686, 497, 13672, 1829, 4724, 16254, 5551, 38251, 1829, 3224, 264, 15845, 295, 32181, 8717, 9381, 5172, 12174, 9566, 25720, 16712, 4587, 9640, 3555, 1270, 300, 4724, 5016, 1829, 12984, 14739, 264, 2638], "avg_logprob": -0.2890624897820609, "compression_ratio": 1.0666666666666667, "no_speech_prob": 0.0, "words": [{"start": 2527.23, "end": 2527.93, "word": "capital", "probability": 0.5162353515625}, {"start": 2527.93, "end": 2528.47, "word": " R", "probability": 0.9326171875}, {"start": 2528.47, "end": 2530.23, "word": " اللي", "probability": 0.635498046875}, {"start": 2530.23, "end": 2530.49, "word": " بدي", "probability": 0.73193359375}, {"start": 2530.49, "end": 2531.77, "word": " أسميه", "probability": 0.88525390625}, {"start": 2531.77, "end": 2532.27, "word": " the", "probability": 0.218017578125}, {"start": 2532.27, "end": 2533.79, "word": " radius", "probability": 0.86572265625}, {"start": 2533.79, "end": 2535.61, "word": " of", "probability": 0.97021484375}, {"start": 2535.61, "end": 2537.91, "word": " convergence", "probability": 0.96240234375}, {"start": 2537.91, "end": 2540.37, "word": " نصف", "probability": 0.9679361979166666}, {"start": 2540.37, "end": 2540.89, "word": " قطرة", "probability": 0.81689453125}, {"start": 2540.89, "end": 2542.05, "word": " التقارب", "probability": 0.91943359375}, {"start": 2542.05, "end": 2549.73, "word": " such", "probability": 0.5712890625}, {"start": 2549.73, "end": 2550.65, "word": " that", "probability": 0.958984375}, {"start": 2550.65, "end": 2553.49, "word": " بحيث", "probability": 0.991455078125}, {"start": 2553.49, "end": 2553.93, "word": " أن", "probability": 0.5439453125}, {"start": 2553.93, "end": 2555.65, "word": " the", "probability": 0.72509765625}, {"start": 2555.65, "end": 2556.27, "word": " series", "probability": 0.9267578125}], "temperature": 1.0}, {"id": 108, "seek": 258303, "start": 2560.87, "end": 2583.03, "text": "converge absolutely for absolute value ل X ناقص ال A أقل من R and diverge for absolute value ل X ناقص ال A greater than R", "tokens": [1671, 331, 432, 3122, 337, 8236, 2158, 5296, 1783, 8717, 995, 4587, 9381, 2423, 316, 5551, 4587, 1211, 9154, 497, 293, 18558, 432, 337, 8236, 2158, 5296, 1783, 8717, 995, 4587, 9381, 2423, 316, 5044, 813, 497], "avg_logprob": -0.25513978929896103, "compression_ratio": 1.4285714285714286, "no_speech_prob": 0.0, "words": [{"start": 2560.8700000000003, "end": 2562.11, "word": "converge", "probability": 0.7652994791666666}, {"start": 2562.11, "end": 2563.35, "word": " absolutely", "probability": 0.66259765625}, {"start": 2563.35, "end": 2566.15, "word": " for", "probability": 0.919921875}, {"start": 2566.15, "end": 2568.41, "word": " absolute", "probability": 0.9052734375}, {"start": 2568.41, "end": 2569.07, "word": " value", "probability": 0.98388671875}, {"start": 2569.07, "end": 2569.21, "word": " ل", "probability": 0.66650390625}, {"start": 2569.21, "end": 2569.55, "word": " X", "probability": 0.203369140625}, {"start": 2569.55, "end": 2570.15, "word": " ناقص", "probability": 0.84765625}, {"start": 2570.15, "end": 2570.39, "word": " ال", "probability": 0.603515625}, {"start": 2570.39, "end": 2570.65, "word": " A", "probability": 0.241455078125}, {"start": 2570.65, "end": 2571.33, "word": " أقل", "probability": 0.8932291666666666}, {"start": 2571.33, "end": 2571.67, "word": " من", "probability": 0.98681640625}, {"start": 2571.67, "end": 2572.17, "word": " R", "probability": 0.89990234375}, {"start": 2572.17, "end": 2573.61, "word": " and", "probability": 0.74560546875}, {"start": 2573.61, "end": 2575.81, "word": " diverge", "probability": 0.845947265625}, {"start": 2575.81, "end": 2577.09, "word": " for", "probability": 0.9677734375}, {"start": 2577.09, "end": 2578.43, "word": " absolute", "probability": 0.9287109375}, {"start": 2578.43, "end": 2578.83, "word": " value", "probability": 0.97900390625}, {"start": 2578.83, "end": 2578.97, "word": " ل", "probability": 0.7236328125}, {"start": 2578.97, "end": 2579.45, "word": " X", "probability": 0.87060546875}, {"start": 2579.45, "end": 2580.13, "word": " ناقص", "probability": 0.9910888671875}, {"start": 2580.13, "end": 2580.33, "word": " ال", "probability": 0.92626953125}, {"start": 2580.33, "end": 2580.75, "word": " A", "probability": 0.97607421875}, {"start": 2580.75, "end": 2581.87, "word": " greater", "probability": 0.5361328125}, {"start": 2581.87, "end": 2582.51, "word": " than", "probability": 0.9560546875}, {"start": 2582.51, "end": 2583.03, "word": " R", "probability": 0.9873046875}], "temperature": 1.0}, {"id": 109, "seek": 260816, "start": 2587.46, "end": 2608.16, "text": "بعض الملاحظات، نمرا واحد The series may or may not converge at the points", "tokens": [3555, 3615, 11242, 9673, 15040, 5016, 19913, 9307, 12399, 8717, 2304, 23557, 36764, 24401, 440, 2638, 815, 420, 815, 406, 41881, 412, 264, 2793], "avg_logprob": -0.26546874046325686, "compression_ratio": 0.9894736842105263, "no_speech_prob": 0.0, "words": [{"start": 2587.46, "end": 2587.98, "word": "بعض", "probability": 0.97021484375}, {"start": 2587.98, "end": 2589.44, "word": " الملاحظات،", "probability": 0.8163655598958334}, {"start": 2589.44, "end": 2590.72, "word": " نمرا", "probability": 0.5227864583333334}, {"start": 2590.72, "end": 2591.34, "word": " واحد", "probability": 0.97998046875}, {"start": 2591.34, "end": 2592.6, "word": " The", "probability": 0.1385498046875}, {"start": 2592.6, "end": 2593.58, "word": " series", "probability": 0.89208984375}, {"start": 2593.58, "end": 2595.56, "word": " may", "probability": 0.92236328125}, {"start": 2595.56, "end": 2598.86, "word": " or", "probability": 0.93115234375}, {"start": 2598.86, "end": 2600.96, "word": " may", "probability": 0.958984375}, {"start": 2600.96, "end": 2602.7, "word": " not", "probability": 0.95849609375}, {"start": 2602.7, "end": 2604.94, "word": " converge", "probability": 0.9931640625}, {"start": 2604.94, "end": 2607.16, "word": " at", "probability": 0.96923828125}, {"start": 2607.16, "end": 2607.34, "word": " the", "probability": 0.91015625}, {"start": 2607.34, "end": 2608.16, "word": " points", "probability": 0.90478515625}], "temperature": 1.0}, {"id": 110, "seek": 264333, "start": 2615.57, "end": 2643.33, "text": "X يساوي A ناقص R و X يساوي A زائد R نمرة اتنين For convergence of the power", "tokens": [55, 7251, 3794, 995, 45865, 316, 8717, 995, 4587, 9381, 497, 4032, 1783, 7251, 3794, 995, 45865, 316, 30767, 16373, 3215, 497, 8717, 2304, 25720, 1975, 2655, 1863, 9957, 1171, 32181, 295, 264, 1347], "avg_logprob": -0.27053572620664323, "compression_ratio": 1.0842105263157895, "no_speech_prob": 0.0, "words": [{"start": 2615.57, "end": 2616.09, "word": "X", "probability": 0.333984375}, {"start": 2616.09, "end": 2616.85, "word": " يساوي", "probability": 0.674652099609375}, {"start": 2616.85, "end": 2617.33, "word": " A", "probability": 0.791015625}, {"start": 2617.33, "end": 2618.33, "word": " ناقص", "probability": 0.9368896484375}, {"start": 2618.33, "end": 2618.89, "word": " R", "probability": 0.92578125}, {"start": 2618.89, "end": 2619.81, "word": " و", "probability": 0.263916015625}, {"start": 2619.81, "end": 2620.53, "word": " X", "probability": 0.734375}, {"start": 2620.53, "end": 2621.83, "word": " يساوي", "probability": 0.973388671875}, {"start": 2621.83, "end": 2622.47, "word": " A", "probability": 0.98095703125}, {"start": 2622.47, "end": 2623.37, "word": " زائد", "probability": 0.8802083333333334}, {"start": 2623.37, "end": 2623.93, "word": " R", "probability": 0.85107421875}, {"start": 2623.93, "end": 2626.31, "word": " نمرة", "probability": 0.4341227213541667}, {"start": 2626.31, "end": 2627.47, "word": " اتنين", "probability": 0.918701171875}, {"start": 2627.47, "end": 2635.09, "word": " For", "probability": 0.287109375}, {"start": 2635.09, "end": 2638.19, "word": " convergence", "probability": 0.9775390625}, {"start": 2638.19, "end": 2640.57, "word": " of", "probability": 0.90185546875}, {"start": 2640.57, "end": 2642.59, "word": " the", "probability": 0.89208984375}, {"start": 2642.59, "end": 2643.33, "word": " power", "probability": 0.87890625}], "temperature": 1.0}, {"id": 111, "seek": 266448, "start": 2661.22, "end": 2664.48, "text": "يبقى اما هذا او هذا", "tokens": [1829, 3555, 4587, 7578, 1975, 15042, 23758, 1975, 2407, 23758], "avg_logprob": -0.5593039772727273, "compression_ratio": 0.9714285714285714, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2661.2200000000003, "end": 2662.38, "word": "يبقى", "probability": 0.5703582763671875}, {"start": 2662.38, "end": 2662.68, "word": " اما", "probability": 0.6820068359375}, {"start": 2662.68, "end": 2663.26, "word": " هذا", "probability": 0.8505859375}, {"start": 2663.26, "end": 2664.12, "word": " او", "probability": 0.947998046875}, {"start": 2664.12, "end": 2664.48, "word": " هذا", "probability": 0.98046875}], "temperature": 1.0}, {"id": 112, "seek": 268506, "start": 2683.42, "end": 2685.06, "text": "السلام عليكم", "tokens": [6027, 3794, 37440, 25894, 24793], "avg_logprob": -1.0384114583333333, "compression_ratio": 0.7419354838709677, "no_speech_prob": 0.024383544921875, "words": [{"start": 2683.42, "end": 2684.82, "word": "السلام", "probability": 0.20745849609375}, {"start": 2684.82, "end": 2685.06, "word": " عليكم", "probability": 0.934814453125}], "temperature": 1.0}, {"id": 113, "seek": 272156, "start": 2716.2, "end": 2721.56, "text": "الامر يرجع للنقاط الثلاثة التي أشرنا إليها قبل قليل", "tokens": [6027, 10943, 2288, 7251, 47341, 3615, 24976, 1863, 4587, 41193, 6024, 104, 1211, 5718, 104, 3660, 38392, 5551, 8592, 2288, 8315, 11933, 20292, 11296, 12174, 36150, 12174, 20292, 1211], "avg_logprob": -0.21067707886298498, "compression_ratio": 1.205128205128205, "no_speech_prob": 0.0, "words": [{"start": 2716.2, "end": 2716.76, "word": "الامر", "probability": 0.647216796875}, {"start": 2716.76, "end": 2717.14, "word": " يرجع", "probability": 0.9288736979166666}, {"start": 2717.14, "end": 2717.72, "word": " للنقاط", "probability": 0.8262939453125}, {"start": 2717.72, "end": 2718.42, "word": " الثلاثة", "probability": 0.9527180989583334}, {"start": 2718.42, "end": 2718.72, "word": " التي", "probability": 0.88525390625}, {"start": 2718.72, "end": 2719.54, "word": " أشرنا", "probability": 0.74755859375}, {"start": 2719.54, "end": 2720.3, "word": " إليها", "probability": 0.7904459635416666}, {"start": 2720.3, "end": 2720.94, "word": " قبل", "probability": 0.992919921875}, {"start": 2720.94, "end": 2721.56, "word": " قليل", "probability": 0.9777018229166666}], "temperature": 1.0}, {"id": 114, "seek": 274675, "start": 2722.41, "end": 2746.75, "text": "بقول ليش؟ for any power series على الشكل هذا أو الشكل التاني، لأن الشكل التاني حالة خاصة من الشكل الأول. إذا ما ينطبق على هذه ال power series، ينطبق على مين؟ على ال series التانية اللي عندنا، لأنها حالة خاصة منها. يبقى exactly one of the following is true، يبقى واحد من التلاتة هدول سيكون عندي صحيح.", "tokens": [3555, 39648, 32239, 8592, 22807, 337, 604, 1347, 2638, 15844, 25124, 28820, 23758, 34051, 25124, 28820, 16712, 7649, 1829, 12399, 5296, 33456, 25124, 28820, 16712, 7649, 1829, 11331, 6027, 3660, 16490, 33546, 3660, 9154, 25124, 28820, 16247, 12610, 13, 11933, 15730, 19446, 7251, 1863, 9566, 3555, 4587, 15844, 29538, 2423, 1347, 2638, 12399, 7251, 1863, 9566, 3555, 4587, 15844, 3714, 9957, 22807, 15844, 2423, 2638, 16712, 7649, 10632, 13672, 1829, 43242, 8315, 12399, 5296, 33456, 11296, 11331, 6027, 3660, 16490, 33546, 3660, 9154, 11296, 13, 7251, 3555, 4587, 7578, 2293, 472, 295, 264, 3480, 307, 2074, 12399, 7251, 3555, 4587, 7578, 36764, 24401, 9154, 16712, 1211, 9307, 3660, 8032, 3215, 12610, 8608, 1829, 30544, 18871, 16254, 20328, 5016, 1829, 5016, 13], "avg_logprob": -0.18954918496921414, "compression_ratio": 1.9153225806451613, "no_speech_prob": 0.0, "words": [{"start": 2722.41, "end": 2722.89, "word": "بقول", "probability": 0.4412841796875}, {"start": 2722.89, "end": 2723.67, "word": " ليش؟", "probability": 0.6136881510416666}, {"start": 2723.67, "end": 2723.91, "word": " for", "probability": 0.498046875}, {"start": 2723.91, "end": 2724.37, "word": " any", "probability": 0.91650390625}, {"start": 2724.37, "end": 2724.91, "word": " power", "probability": 0.87939453125}, {"start": 2724.91, "end": 2725.77, "word": " series", "probability": 0.90966796875}, {"start": 2725.77, "end": 2726.43, "word": " على", "probability": 0.335205078125}, {"start": 2726.43, "end": 2726.83, "word": " الشكل", "probability": 0.966064453125}, {"start": 2726.83, "end": 2727.09, "word": " هذا", "probability": 0.88671875}, {"start": 2727.09, "end": 2727.33, "word": " أو", "probability": 0.63818359375}, {"start": 2727.33, "end": 2727.79, "word": " الشكل", "probability": 0.94970703125}, {"start": 2727.79, "end": 2728.17, "word": " التاني،", "probability": 0.80950927734375}, {"start": 2728.17, "end": 2728.37, "word": " لأن", "probability": 0.901123046875}, {"start": 2728.37, "end": 2728.71, "word": " الشكل", "probability": 0.964111328125}, {"start": 2728.71, "end": 2729.05, "word": " التاني", "probability": 0.9694010416666666}, {"start": 2729.05, "end": 2729.59, "word": " حالة", "probability": 0.9440104166666666}, {"start": 2729.59, "end": 2730.09, "word": " خاصة", "probability": 0.9811197916666666}, {"start": 2730.09, "end": 2730.25, "word": " من", "probability": 0.9833984375}, {"start": 2730.25, "end": 2730.79, "word": " الشكل", "probability": 0.96533203125}, {"start": 2730.79, "end": 2731.29, "word": " الأول.", "probability": 0.971435546875}, {"start": 2731.65, "end": 2732.01, "word": " إذا", "probability": 0.795654296875}, {"start": 2732.01, "end": 2732.15, "word": " ما", "probability": 0.921875}, {"start": 2732.15, "end": 2732.77, "word": " ينطبق", "probability": 0.9615234375}, {"start": 2732.77, "end": 2732.97, "word": " على", "probability": 0.93310546875}, {"start": 2732.97, "end": 2733.29, "word": " هذه", "probability": 0.90966796875}, {"start": 2733.29, "end": 2733.45, "word": " ال", "probability": 0.919921875}, {"start": 2733.45, "end": 2733.69, "word": " power", "probability": 0.7548828125}, {"start": 2733.69, "end": 2734.19, "word": " series،", "probability": 0.811279296875}, {"start": 2734.19, "end": 2734.69, "word": " ينطبق", "probability": 0.97255859375}, {"start": 2734.69, "end": 2734.85, "word": " على", "probability": 0.90771484375}, {"start": 2734.85, "end": 2735.51, "word": " مين؟", "probability": 0.7989908854166666}, {"start": 2735.51, "end": 2735.89, "word": " على", "probability": 0.8896484375}, {"start": 2735.89, "end": 2736.05, "word": " ال", "probability": 0.81982421875}, {"start": 2736.05, "end": 2736.39, "word": " series", "probability": 0.947265625}, {"start": 2736.39, "end": 2737.03, "word": " التانية", "probability": 0.9376627604166666}, {"start": 2737.03, "end": 2737.23, "word": " اللي", "probability": 0.89208984375}, {"start": 2737.23, "end": 2737.53, "word": " عندنا،", "probability": 0.8229166666666666}, {"start": 2737.53, "end": 2737.83, "word": " لأنها", "probability": 0.8486328125}, {"start": 2737.83, "end": 2738.19, "word": " حالة", "probability": 0.99462890625}, {"start": 2738.19, "end": 2738.61, "word": " خاصة", "probability": 0.9650065104166666}, {"start": 2738.61, "end": 2738.89, "word": " منها.", "probability": 0.96923828125}, {"start": 2739.47, "end": 2739.79, "word": " يبقى", "probability": 0.938232421875}, {"start": 2739.79, "end": 2740.23, "word": " exactly", "probability": 0.9248046875}, {"start": 2740.23, "end": 2740.67, "word": " one", "probability": 0.95458984375}, {"start": 2740.67, "end": 2740.93, "word": " of", "probability": 0.982421875}, {"start": 2740.93, "end": 2741.11, "word": " the", "probability": 0.9326171875}, {"start": 2741.11, "end": 2741.57, "word": " following", "probability": 0.89111328125}, {"start": 2741.57, "end": 2741.93, "word": " is", "probability": 0.63232421875}, {"start": 2741.93, "end": 2742.81, "word": " true،", "probability": 0.5869140625}, {"start": 2742.81, "end": 2743.23, "word": " يبقى", "probability": 0.9822998046875}, {"start": 2743.23, "end": 2743.81, "word": " واحد", "probability": 0.9912109375}, {"start": 2743.81, "end": 2744.09, "word": " من", "probability": 0.9794921875}, {"start": 2744.09, "end": 2744.93, "word": " التلاتة", "probability": 0.85382080078125}, {"start": 2744.93, "end": 2745.25, "word": " هدول", "probability": 0.80908203125}, {"start": 2745.25, "end": 2745.71, "word": " سيكون", "probability": 0.6982421875}, {"start": 2745.71, "end": 2746.11, "word": " عندي", "probability": 0.628662109375}, {"start": 2746.11, "end": 2746.75, "word": " صحيح.", "probability": 0.8138427734375}], "temperature": 1.0}, {"id": 115, "seek": 276221, "start": 2747.37, "end": 2762.21, "text": "النقطة الأولى بيقول ال series converge only at x يساوي undiverged elsewhere في أي مكان آخر يعني شباب لو جيت اتخيلت هذا ال real line كله", "tokens": [6027, 1863, 47432, 3660, 16247, 12610, 7578, 4724, 1829, 39648, 2423, 2638, 41881, 787, 412, 2031, 7251, 3794, 995, 45865, 674, 1837, 3004, 14517, 8978, 36632, 3714, 41361, 19753, 34740, 37495, 22653, 13412, 3555, 16758, 45164, 10874, 36081, 1975, 2655, 9778, 26895, 2655, 23758, 2423, 957, 1622, 28242, 3224], "avg_logprob": -0.20218749850988388, "compression_ratio": 1.2875816993464053, "no_speech_prob": 0.0, "words": [{"start": 2747.37, "end": 2747.97, "word": "النقطة", "probability": 0.859619140625}, {"start": 2747.97, "end": 2748.21, "word": " الأولى", "probability": 0.9459635416666666}, {"start": 2748.21, "end": 2748.49, "word": " بيقول", "probability": 0.7420247395833334}, {"start": 2748.49, "end": 2748.65, "word": " ال", "probability": 0.68115234375}, {"start": 2748.65, "end": 2748.93, "word": " series", "probability": 0.802734375}, {"start": 2748.93, "end": 2749.79, "word": " converge", "probability": 0.93359375}, {"start": 2749.79, "end": 2750.43, "word": " only", "probability": 0.849609375}, {"start": 2750.43, "end": 2750.95, "word": " at", "probability": 0.93994140625}, {"start": 2750.95, "end": 2751.35, "word": " x", "probability": 0.65869140625}, {"start": 2751.35, "end": 2752.01, "word": " يساوي", "probability": 0.8773193359375}, {"start": 2752.01, "end": 2753.83, "word": " undiverged", "probability": 0.6184895833333334}, {"start": 2753.83, "end": 2755.13, "word": " elsewhere", "probability": 0.689453125}, {"start": 2755.13, "end": 2755.63, "word": " في", "probability": 0.93896484375}, {"start": 2755.63, "end": 2755.95, "word": " أي", "probability": 0.8056640625}, {"start": 2755.95, "end": 2756.51, "word": " مكان", "probability": 0.9912109375}, {"start": 2756.51, "end": 2757.13, "word": " آخر", "probability": 0.806884765625}, {"start": 2757.13, "end": 2757.93, "word": " يعني", "probability": 0.73583984375}, {"start": 2757.93, "end": 2758.41, "word": " شباب", "probability": 0.8771158854166666}, {"start": 2758.41, "end": 2758.61, "word": " لو", "probability": 0.97900390625}, {"start": 2758.61, "end": 2758.97, "word": " جيت", "probability": 0.8232421875}, {"start": 2758.97, "end": 2759.99, "word": " اتخيلت", "probability": 0.867578125}, {"start": 2759.99, "end": 2760.35, "word": " هذا", "probability": 0.7294921875}, {"start": 2760.35, "end": 2760.57, "word": " ال", "probability": 0.951171875}, {"start": 2760.57, "end": 2760.89, "word": " real", "probability": 0.87646484375}, {"start": 2760.89, "end": 2761.57, "word": " line", "probability": 0.93994140625}, {"start": 2761.57, "end": 2762.21, "word": " كله", "probability": 0.983154296875}], "temperature": 1.0}, {"id": 116, "seek": 278821, "start": 2762.57, "end": 2788.21, "text": "في عندى نقطة هنا اليمين النقطة ايه ال series عندها converge لكن لو جيت على اليمين بتبقى diverge و لو جيت على الشمال مالها بتبقى diverge يبقى ال series converge فقط عند نقطة و عند باقى ال real line كله diverge بلا استثناء", "tokens": [41185, 43242, 7578, 8717, 47432, 3660, 34105, 2423, 32640, 9957, 28239, 47432, 3660, 1975, 1829, 3224, 2423, 2638, 43242, 11296, 41881, 44381, 45164, 10874, 36081, 15844, 2423, 32640, 9957, 39894, 3555, 4587, 7578, 18558, 432, 4032, 45164, 10874, 36081, 15844, 25124, 2304, 6027, 3714, 6027, 11296, 39894, 3555, 4587, 7578, 18558, 432, 7251, 3555, 4587, 7578, 2423, 2638, 41881, 6156, 47432, 43242, 8717, 47432, 3660, 4032, 43242, 4724, 995, 4587, 7578, 2423, 957, 1622, 28242, 3224, 18558, 432, 4724, 15040, 44713, 12984, 1863, 16606], "avg_logprob": -0.2053308795480167, "compression_ratio": 1.9710982658959537, "no_speech_prob": 0.0, "words": [{"start": 2762.57, "end": 2764.17, "word": "في", "probability": 0.08526611328125}, {"start": 2764.17, "end": 2764.81, "word": " عندى", "probability": 0.618408203125}, {"start": 2764.81, "end": 2765.39, "word": " نقطة", "probability": 0.95556640625}, {"start": 2765.39, "end": 2765.77, "word": " هنا", "probability": 0.927734375}, {"start": 2765.77, "end": 2766.63, "word": " اليمين", "probability": 0.6620279947916666}, {"start": 2766.63, "end": 2767.63, "word": " النقطة", "probability": 0.9318033854166666}, {"start": 2767.63, "end": 2768.33, "word": " ايه", "probability": 0.8484700520833334}, {"start": 2768.33, "end": 2768.61, "word": " ال", "probability": 0.68896484375}, {"start": 2768.61, "end": 2769.03, "word": " series", "probability": 0.87646484375}, {"start": 2769.03, "end": 2769.89, "word": " عندها", "probability": 0.984130859375}, {"start": 2769.89, "end": 2771.09, "word": " converge", "probability": 0.904296875}, {"start": 2771.09, "end": 2772.31, "word": " لكن", "probability": 0.89306640625}, {"start": 2772.31, "end": 2772.65, "word": " لو", "probability": 0.98486328125}, {"start": 2772.65, "end": 2773.01, "word": " جيت", "probability": 0.961181640625}, {"start": 2773.01, "end": 2773.31, "word": " على", "probability": 0.529296875}, {"start": 2773.31, "end": 2774.15, "word": " اليمين", "probability": 0.92138671875}, {"start": 2774.15, "end": 2775.13, "word": " بتبقى", "probability": 0.8653564453125}, {"start": 2775.13, "end": 2775.89, "word": " diverge", "probability": 0.691650390625}, {"start": 2775.89, "end": 2776.39, "word": " و", "probability": 0.58447265625}, {"start": 2776.39, "end": 2776.63, "word": " لو", "probability": 0.78662109375}, {"start": 2776.63, "end": 2776.99, "word": " جيت", "probability": 0.981689453125}, {"start": 2776.99, "end": 2777.25, "word": " على", "probability": 0.8505859375}, {"start": 2777.25, "end": 2777.93, "word": " الشمال", "probability": 0.9820963541666666}, {"start": 2777.93, "end": 2778.47, "word": " مالها", "probability": 0.749267578125}, {"start": 2778.47, "end": 2779.61, "word": " بتبقى", "probability": 0.9691162109375}, {"start": 2779.61, "end": 2780.69, "word": " diverge", "probability": 0.806396484375}, {"start": 2780.69, "end": 2781.09, "word": " يبقى", "probability": 0.97216796875}, {"start": 2781.09, "end": 2781.27, "word": " ال", "probability": 0.97705078125}, {"start": 2781.27, "end": 2781.57, "word": " series", "probability": 0.9482421875}, {"start": 2781.57, "end": 2782.29, "word": " converge", "probability": 0.85693359375}, {"start": 2782.29, "end": 2783.11, "word": " فقط", "probability": 0.9931640625}, {"start": 2783.11, "end": 2783.81, "word": " عند", "probability": 0.990234375}, {"start": 2783.81, "end": 2784.29, "word": " نقطة", "probability": 0.9235026041666666}, {"start": 2784.29, "end": 2784.39, "word": " و", "probability": 0.78271484375}, {"start": 2784.39, "end": 2784.65, "word": " عند", "probability": 0.85986328125}, {"start": 2784.65, "end": 2785.03, "word": " باقى", "probability": 0.73358154296875}, {"start": 2785.03, "end": 2785.09, "word": " ال", "probability": 0.8291015625}, {"start": 2785.09, "end": 2785.29, "word": " real", "probability": 0.88671875}, {"start": 2785.29, "end": 2785.77, "word": " line", "probability": 0.9248046875}, {"start": 2785.77, "end": 2786.43, "word": " كله", "probability": 0.91259765625}, {"start": 2786.43, "end": 2787.15, "word": " diverge", "probability": 0.736328125}, {"start": 2787.15, "end": 2787.53, "word": " بلا", "probability": 0.9091796875}, {"start": 2787.53, "end": 2788.21, "word": " استثناء", "probability": 0.81109619140625}], "temperature": 1.0}, {"id": 117, "seek": 281204, "start": 2788.74, "end": 2812.04, "text": "في مثل هذه الحالة بيكون نصف قطر التقارب للنقطة اللي هو زيه، والحظين، بنجي للنقطة الثانية، بيقولوا the series converge absolutely for all x يبقى أي قيمة ال X على كل الريالين ال series converge absolutely يبقى قداش طول ال interval of convergence", "tokens": [41185, 50113, 1211, 29538, 21542, 6027, 3660, 4724, 1829, 30544, 8717, 9381, 5172, 12174, 9566, 2288, 16712, 4587, 9640, 3555, 24976, 1863, 47432, 3660, 13672, 1829, 31439, 30767, 1829, 3224, 12399, 4032, 6027, 5016, 19913, 9957, 12399, 44945, 7435, 1829, 24976, 1863, 47432, 3660, 6024, 104, 7649, 10632, 12399, 4724, 1829, 39648, 14407, 264, 2638, 41881, 3122, 337, 439, 2031, 7251, 3555, 4587, 7578, 36632, 12174, 32640, 3660, 2423, 1783, 15844, 28242, 2423, 16572, 6027, 9957, 2423, 2638, 41881, 3122, 7251, 3555, 4587, 7578, 12174, 3215, 33599, 23032, 12610, 2423, 15035, 295, 32181], "avg_logprob": -0.2661236670423061, "compression_ratio": 1.60352422907489, "no_speech_prob": 0.0, "words": [{"start": 2788.74, "end": 2788.98, "word": "في", "probability": 0.450927734375}, {"start": 2788.98, "end": 2789.36, "word": " مثل", "probability": 0.82421875}, {"start": 2789.36, "end": 2789.68, "word": " هذه", "probability": 0.98291015625}, {"start": 2789.68, "end": 2790.14, "word": " الحالة", "probability": 0.9812825520833334}, {"start": 2790.14, "end": 2790.48, "word": " بيكون", "probability": 0.7099202473958334}, {"start": 2790.48, "end": 2790.98, "word": " نصف", "probability": 0.9811197916666666}, {"start": 2790.98, "end": 2791.44, "word": " قطر", "probability": 0.7898763020833334}, {"start": 2791.44, "end": 2792.48, "word": " التقارب", "probability": 0.992431640625}, {"start": 2792.48, "end": 2793.18, "word": " للنقطة", "probability": 0.92236328125}, {"start": 2793.18, "end": 2793.34, "word": " اللي", "probability": 0.813232421875}, {"start": 2793.34, "end": 2793.52, "word": " هو", "probability": 0.91552734375}, {"start": 2793.52, "end": 2794.3, "word": " زيه،", "probability": 0.3782958984375}, {"start": 2794.3, "end": 2795.68, "word": " والحظين،", "probability": 0.575286865234375}, {"start": 2795.68, "end": 2796.06, "word": " بنجي", "probability": 0.6884765625}, {"start": 2796.06, "end": 2796.58, "word": " للنقطة", "probability": 0.92626953125}, {"start": 2796.58, "end": 2797.58, "word": " الثانية،", "probability": 0.87421875}, {"start": 2797.58, "end": 2798.0, "word": " بيقولوا", "probability": 0.9136962890625}, {"start": 2798.0, "end": 2798.32, "word": " the", "probability": 0.155517578125}, {"start": 2798.32, "end": 2799.08, "word": " series", "probability": 0.7744140625}, {"start": 2799.08, "end": 2799.86, "word": " converge", "probability": 0.92724609375}, {"start": 2799.86, "end": 2801.02, "word": " absolutely", "probability": 0.7236328125}, {"start": 2801.02, "end": 2801.72, "word": " for", "probability": 0.96923828125}, {"start": 2801.72, "end": 2802.34, "word": " all", "probability": 0.95751953125}, {"start": 2802.34, "end": 2802.78, "word": " x", "probability": 0.6923828125}, {"start": 2802.78, "end": 2803.46, "word": " يبقى", "probability": 0.82025146484375}, {"start": 2803.46, "end": 2803.78, "word": " أي", "probability": 0.82568359375}, {"start": 2803.78, "end": 2804.2, "word": " قيمة", "probability": 0.9939778645833334}, {"start": 2804.2, "end": 2804.28, "word": " ال", "probability": 0.58154296875}, {"start": 2804.28, "end": 2804.44, "word": " X", "probability": 0.42138671875}, {"start": 2804.44, "end": 2804.68, "word": " على", "probability": 0.82275390625}, {"start": 2804.68, "end": 2805.04, "word": " كل", "probability": 0.9873046875}, {"start": 2805.04, "end": 2805.78, "word": " الريالين", "probability": 0.8421630859375}, {"start": 2805.78, "end": 2805.92, "word": " ال", "probability": 0.77734375}, {"start": 2805.92, "end": 2806.14, "word": " series", "probability": 0.89892578125}, {"start": 2806.14, "end": 2807.1, "word": " converge", "probability": 0.9375}, {"start": 2807.1, "end": 2808.26, "word": " absolutely", "probability": 0.61474609375}, {"start": 2808.26, "end": 2809.0, "word": " يبقى", "probability": 0.9119873046875}, {"start": 2809.0, "end": 2809.76, "word": " قداش", "probability": 0.8396809895833334}, {"start": 2809.76, "end": 2810.28, "word": " طول", "probability": 0.9677734375}, {"start": 2810.28, "end": 2810.48, "word": " ال", "probability": 0.96240234375}, {"start": 2810.48, "end": 2811.06, "word": " interval", "probability": 0.82275390625}, {"start": 2811.06, "end": 2811.42, "word": " of", "probability": 0.9560546875}, {"start": 2811.42, "end": 2812.04, "word": " convergence", "probability": 0.96484375}], "temperature": 1.0}, {"id": 118, "seek": 283362, "start": 2813.3, "end": 2833.62, "text": "من سالب infinity إلى infinity و ال series بتبقى converge على كل ال real line بلا استثناء يبقى لو قلت هذه zero بتبقى ال series هنا converge absolutely على كل real line و ماعنديش divergence", "tokens": [27842, 8608, 6027, 3555, 13202, 30731, 13202, 4032, 2423, 2638, 39894, 3555, 4587, 7578, 41881, 15844, 28242, 2423, 957, 1622, 4724, 15040, 44713, 12984, 1863, 16606, 7251, 3555, 4587, 7578, 45164, 12174, 1211, 2655, 29538, 4018, 39894, 3555, 4587, 7578, 2423, 2638, 34105, 41881, 3122, 15844, 28242, 957, 1622, 4032, 19446, 3615, 1863, 16254, 8592, 47387], "avg_logprob": -0.22546600877192982, "compression_ratio": 1.5515151515151515, "no_speech_prob": 0.0, "words": [{"start": 2813.3, "end": 2813.64, "word": "من", "probability": 0.413330078125}, {"start": 2813.64, "end": 2814.32, "word": " سالب", "probability": 0.7081705729166666}, {"start": 2814.32, "end": 2815.06, "word": " infinity", "probability": 0.54931640625}, {"start": 2815.06, "end": 2815.72, "word": " إلى", "probability": 0.8056640625}, {"start": 2815.72, "end": 2816.94, "word": " infinity", "probability": 0.54443359375}, {"start": 2816.94, "end": 2817.66, "word": " و", "probability": 0.19580078125}, {"start": 2817.66, "end": 2817.82, "word": " ال", "probability": 0.59228515625}, {"start": 2817.82, "end": 2818.12, "word": " series", "probability": 0.92041015625}, {"start": 2818.12, "end": 2818.82, "word": " بتبقى", "probability": 0.885986328125}, {"start": 2818.82, "end": 2819.62, "word": " converge", "probability": 0.84033203125}, {"start": 2819.62, "end": 2819.98, "word": " على", "probability": 0.79443359375}, {"start": 2819.98, "end": 2820.64, "word": " كل", "probability": 0.98779296875}, {"start": 2820.64, "end": 2820.98, "word": " ال", "probability": 0.7568359375}, {"start": 2820.98, "end": 2821.34, "word": " real", "probability": 0.8056640625}, {"start": 2821.34, "end": 2822.1, "word": " line", "probability": 0.96728515625}, {"start": 2822.1, "end": 2822.64, "word": " بلا", "probability": 0.891845703125}, {"start": 2822.64, "end": 2823.46, "word": " استثناء", "probability": 0.7822265625}, {"start": 2823.46, "end": 2824.24, "word": " يبقى", "probability": 0.9154052734375}, {"start": 2824.24, "end": 2824.44, "word": " لو", "probability": 0.9580078125}, {"start": 2824.44, "end": 2824.92, "word": " قلت", "probability": 0.9427083333333334}, {"start": 2824.92, "end": 2825.22, "word": " هذه", "probability": 0.56689453125}, {"start": 2825.22, "end": 2825.64, "word": " zero", "probability": 0.59814453125}, {"start": 2825.64, "end": 2826.36, "word": " بتبقى", "probability": 0.93359375}, {"start": 2826.36, "end": 2826.56, "word": " ال", "probability": 0.796875}, {"start": 2826.56, "end": 2826.96, "word": " series", "probability": 0.94921875}, {"start": 2826.96, "end": 2827.5, "word": " هنا", "probability": 0.95068359375}, {"start": 2827.5, "end": 2828.8, "word": " converge", "probability": 0.908203125}, {"start": 2828.8, "end": 2829.98, "word": " absolutely", "probability": 0.56591796875}, {"start": 2829.98, "end": 2830.52, "word": " على", "probability": 0.876953125}, {"start": 2830.52, "end": 2830.96, "word": " كل", "probability": 0.99169921875}, {"start": 2830.96, "end": 2831.4, "word": " real", "probability": 0.62646484375}, {"start": 2831.4, "end": 2831.8, "word": " line", "probability": 0.97509765625}, {"start": 2831.8, "end": 2832.24, "word": " و", "probability": 0.97607421875}, {"start": 2832.24, "end": 2832.9, "word": " ماعنديش", "probability": 0.89365234375}, {"start": 2832.9, "end": 2833.62, "word": " divergence", "probability": 0.978515625}], "temperature": 1.0}, {"id": 119, "seek": 285033, "start": 2834.51, "end": 2850.33, "text": "يبقى في هذه الحالة ال interval of convergence بتكون من سالب infinity إلى infinity وال radius of convergence بيكون قداش infinity حالة التالتة بيقول لازم تلاقي عدد موجد R", "tokens": [1829, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 2423, 15035, 295, 32181, 39894, 30544, 9154, 8608, 6027, 3555, 13202, 30731, 13202, 16070, 15845, 295, 32181, 4724, 1829, 30544, 12174, 3215, 33599, 13202, 11331, 6027, 3660, 16712, 6027, 2655, 3660, 4724, 1829, 39648, 5296, 31377, 2304, 6055, 15040, 38436, 6225, 3215, 3215, 3714, 29245, 3215, 497], "avg_logprob": -0.2149122807017544, "compression_ratio": 1.528301886792453, "no_speech_prob": 0.0, "words": [{"start": 2834.51, "end": 2835.09, "word": "يبقى", "probability": 0.8321533203125}, {"start": 2835.09, "end": 2835.13, "word": " في", "probability": 0.6904296875}, {"start": 2835.13, "end": 2835.47, "word": " هذه", "probability": 0.8984375}, {"start": 2835.47, "end": 2835.95, "word": " الحالة", "probability": 0.9861653645833334}, {"start": 2835.95, "end": 2836.05, "word": " ال", "probability": 0.79443359375}, {"start": 2836.05, "end": 2836.59, "word": " interval", "probability": 0.2607421875}, {"start": 2836.59, "end": 2836.93, "word": " of", "probability": 0.94970703125}, {"start": 2836.93, "end": 2837.49, "word": " convergence", "probability": 0.9609375}, {"start": 2837.49, "end": 2838.13, "word": " بتكون", "probability": 0.866455078125}, {"start": 2838.13, "end": 2838.33, "word": " من", "probability": 0.9736328125}, {"start": 2838.33, "end": 2838.89, "word": " سالب", "probability": 0.634521484375}, {"start": 2838.89, "end": 2839.65, "word": " infinity", "probability": 0.8173828125}, {"start": 2839.65, "end": 2839.95, "word": " إلى", "probability": 0.75}, {"start": 2839.95, "end": 2840.61, "word": " infinity", "probability": 0.7783203125}, {"start": 2840.61, "end": 2841.39, "word": " وال", "probability": 0.7197265625}, {"start": 2841.39, "end": 2841.91, "word": " radius", "probability": 0.8544921875}, {"start": 2841.91, "end": 2842.29, "word": " of", "probability": 0.96875}, {"start": 2842.29, "end": 2843.11, "word": " convergence", "probability": 0.9609375}, {"start": 2843.11, "end": 2843.51, "word": " بيكون", "probability": 0.7755533854166666}, {"start": 2843.51, "end": 2844.25, "word": " قداش", "probability": 0.808837890625}, {"start": 2844.25, "end": 2845.35, "word": " infinity", "probability": 0.86865234375}, {"start": 2845.35, "end": 2846.01, "word": " حالة", "probability": 0.86865234375}, {"start": 2846.01, "end": 2846.91, "word": " التالتة", "probability": 0.9029541015625}, {"start": 2846.91, "end": 2847.43, "word": " بيقول", "probability": 0.7879231770833334}, {"start": 2847.43, "end": 2847.93, "word": " لازم", "probability": 0.8972981770833334}, {"start": 2847.93, "end": 2848.41, "word": " تلاقي", "probability": 0.8196614583333334}, {"start": 2848.41, "end": 2848.97, "word": " عدد", "probability": 0.9742838541666666}, {"start": 2848.97, "end": 2849.65, "word": " موجد", "probability": 0.709716796875}, {"start": 2849.65, "end": 2850.33, "word": " R", "probability": 0.59912109375}], "temperature": 1.0}, {"id": 120, "seek": 287226, "start": 2850.76, "end": 2872.26, "text": "اللي هو بنسميه the radius of convergence بحيث ان ال series converge for الفترة اللي عندنا هذه بقول استنى شوية هذه لو حبيت احلها ال inequality يبقى انا عند ايه ناقص ال ايه ناقص ال ايه الجصدي ال x ناقص ال a", "tokens": [6027, 20292, 31439, 4724, 1863, 38251, 1829, 3224, 264, 15845, 295, 32181, 4724, 5016, 1829, 12984, 16472, 2423, 2638, 41881, 337, 27188, 2655, 25720, 13672, 1829, 43242, 8315, 29538, 4724, 39648, 44713, 1863, 7578, 13412, 2407, 10632, 29538, 45164, 11331, 21292, 2655, 1975, 5016, 1211, 11296, 2423, 16970, 7251, 3555, 4587, 7578, 1975, 8315, 43242, 1975, 1829, 3224, 8717, 995, 4587, 9381, 2423, 1975, 1829, 3224, 8717, 995, 4587, 9381, 2423, 1975, 1829, 3224, 25724, 9381, 16254, 2423, 2031, 8717, 995, 4587, 9381, 2423, 257], "avg_logprob": -0.24309593231178994, "compression_ratio": 1.6288659793814433, "no_speech_prob": 0.0, "words": [{"start": 2850.76, "end": 2851.06, "word": "اللي", "probability": 0.442626953125}, {"start": 2851.06, "end": 2851.14, "word": " هو", "probability": 0.56396484375}, {"start": 2851.14, "end": 2851.64, "word": " بنسميه", "probability": 0.789599609375}, {"start": 2851.64, "end": 2851.72, "word": " the", "probability": 0.2371826171875}, {"start": 2851.72, "end": 2852.06, "word": " radius", "probability": 0.9228515625}, {"start": 2852.06, "end": 2852.36, "word": " of", "probability": 0.970703125}, {"start": 2852.36, "end": 2853.02, "word": " convergence", "probability": 0.98291015625}, {"start": 2853.02, "end": 2854.0, "word": " بحيث", "probability": 0.97412109375}, {"start": 2854.0, "end": 2854.44, "word": " ان", "probability": 0.4736328125}, {"start": 2854.44, "end": 2855.32, "word": " ال", "probability": 0.84130859375}, {"start": 2855.32, "end": 2855.64, "word": " series", "probability": 0.88134765625}, {"start": 2855.64, "end": 2856.52, "word": " converge", "probability": 0.9443359375}, {"start": 2856.52, "end": 2857.38, "word": " for", "probability": 0.89697265625}, {"start": 2857.38, "end": 2858.24, "word": " الفترة", "probability": 0.98095703125}, {"start": 2858.24, "end": 2858.44, "word": " اللي", "probability": 0.879150390625}, {"start": 2858.44, "end": 2858.84, "word": " عندنا", "probability": 0.988037109375}, {"start": 2858.84, "end": 2859.02, "word": " هذه", "probability": 0.52978515625}, {"start": 2859.02, "end": 2859.3, "word": " بقول", "probability": 0.6953125}, {"start": 2859.3, "end": 2859.8, "word": " استنى", "probability": 0.7599283854166666}, {"start": 2859.8, "end": 2860.26, "word": " شوية", "probability": 0.9615885416666666}, {"start": 2860.26, "end": 2861.08, "word": " هذه", "probability": 0.55859375}, {"start": 2861.08, "end": 2861.28, "word": " لو", "probability": 0.99169921875}, {"start": 2861.28, "end": 2861.96, "word": " حبيت", "probability": 0.9798177083333334}, {"start": 2861.96, "end": 2862.54, "word": " احلها", "probability": 0.829345703125}, {"start": 2862.54, "end": 2862.7, "word": " ال", "probability": 0.927734375}, {"start": 2862.7, "end": 2863.54, "word": " inequality", "probability": 0.8349609375}, {"start": 2863.54, "end": 2864.62, "word": " يبقى", "probability": 0.9638671875}, {"start": 2864.62, "end": 2864.92, "word": " انا", "probability": 0.861328125}, {"start": 2864.92, "end": 2865.32, "word": " عند", "probability": 0.8515625}, {"start": 2865.32, "end": 2866.0, "word": " ايه", "probability": 0.66650390625}, {"start": 2866.0, "end": 2866.68, "word": " ناقص", "probability": 0.955078125}, {"start": 2866.68, "end": 2866.94, "word": " ال", "probability": 0.6318359375}, {"start": 2866.94, "end": 2867.14, "word": " ايه", "probability": 0.55029296875}, {"start": 2867.14, "end": 2867.72, "word": " ناقص", "probability": 0.83941650390625}, {"start": 2867.72, "end": 2868.08, "word": " ال", "probability": 0.69677734375}, {"start": 2868.08, "end": 2868.4, "word": " ايه", "probability": 0.8528645833333334}, {"start": 2868.4, "end": 2869.24, "word": " الجصدي", "probability": 0.6853841145833334}, {"start": 2869.24, "end": 2869.86, "word": " ال", "probability": 0.88134765625}, {"start": 2869.86, "end": 2870.32, "word": " x", "probability": 0.3876953125}, {"start": 2870.32, "end": 2871.48, "word": " ناقص", "probability": 0.9918212890625}, {"start": 2871.48, "end": 2871.8, "word": " ال", "probability": 0.89013671875}, {"start": 2871.8, "end": 2872.26, "word": " a", "probability": 0.87353515625}], "temperature": 1.0}, {"id": 121, "seek": 289250, "start": 2872.66, "end": 2892.5, "text": "X نقص الـ A أقل من R وأكبر من من؟ من سلب R، لو أضفنا A إلى ثلاثة أطراف، بيصير الـ A نقص الـ R أقل من X أقل من الـ A زائد الـ R، يعني أنا عندي فترة، هي الفترة", "tokens": [55, 8717, 4587, 9381, 2423, 39184, 316, 5551, 4587, 1211, 9154, 497, 36725, 4117, 26890, 9154, 9154, 22807, 9154, 8608, 46152, 497, 12399, 45164, 5551, 11242, 5172, 8315, 316, 30731, 38637, 1211, 5718, 104, 3660, 5551, 9566, 23557, 5172, 12399, 4724, 1829, 9381, 13546, 2423, 39184, 316, 8717, 4587, 9381, 2423, 39184, 497, 5551, 4587, 1211, 9154, 1783, 5551, 4587, 1211, 9154, 2423, 39184, 316, 30767, 16373, 3215, 2423, 39184, 497, 12399, 37495, 22653, 41850, 18871, 16254, 6156, 2655, 25720, 12399, 39896, 27188, 2655, 25720], "avg_logprob": -0.20948401110809903, "compression_ratio": 1.7254901960784315, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2872.66, "end": 2873.22, "word": "X", "probability": 0.11126708984375}, {"start": 2873.22, "end": 2874.14, "word": " نقص", "probability": 0.6407470703125}, {"start": 2874.14, "end": 2874.32, "word": " الـ", "probability": 0.4678955078125}, {"start": 2874.32, "end": 2874.44, "word": " A", "probability": 0.525390625}, {"start": 2874.44, "end": 2875.18, "word": " أقل", "probability": 0.9728190104166666}, {"start": 2875.18, "end": 2875.46, "word": " من", "probability": 0.98974609375}, {"start": 2875.46, "end": 2875.8, "word": " R", "probability": 0.92138671875}, {"start": 2875.8, "end": 2876.46, "word": " وأكبر", "probability": 0.8041178385416666}, {"start": 2876.46, "end": 2876.7, "word": " من", "probability": 0.994140625}, {"start": 2876.7, "end": 2877.18, "word": " من؟", "probability": 0.45587158203125}, {"start": 2877.18, "end": 2877.9, "word": " من", "probability": 0.9658203125}, {"start": 2877.9, "end": 2878.28, "word": " سلب", "probability": 0.736328125}, {"start": 2878.28, "end": 2878.62, "word": " R،", "probability": 0.679931640625}, {"start": 2878.62, "end": 2878.86, "word": " لو", "probability": 0.87841796875}, {"start": 2878.86, "end": 2879.68, "word": " أضفنا", "probability": 0.944580078125}, {"start": 2879.68, "end": 2879.92, "word": " A", "probability": 0.9814453125}, {"start": 2879.92, "end": 2880.22, "word": " إلى", "probability": 0.8984375}, {"start": 2880.22, "end": 2880.94, "word": " ثلاثة", "probability": 0.95234375}, {"start": 2880.94, "end": 2881.9, "word": " أطراف،", "probability": 0.7431640625}, {"start": 2881.9, "end": 2882.44, "word": " بيصير", "probability": 0.85107421875}, {"start": 2882.44, "end": 2882.76, "word": " الـ", "probability": 0.7705078125}, {"start": 2882.76, "end": 2882.96, "word": " A", "probability": 0.7353515625}, {"start": 2882.96, "end": 2883.8, "word": " نقص", "probability": 0.94091796875}, {"start": 2883.8, "end": 2884.06, "word": " الـ", "probability": 0.889892578125}, {"start": 2884.06, "end": 2884.3, "word": " R", "probability": 0.810546875}, {"start": 2884.3, "end": 2884.98, "word": " أقل", "probability": 0.96337890625}, {"start": 2884.98, "end": 2885.2, "word": " من", "probability": 0.99560546875}, {"start": 2885.2, "end": 2885.64, "word": " X", "probability": 0.99560546875}, {"start": 2885.64, "end": 2886.58, "word": " أقل", "probability": 0.982421875}, {"start": 2886.58, "end": 2886.88, "word": " من", "probability": 0.9970703125}, {"start": 2886.88, "end": 2887.32, "word": " الـ", "probability": 0.719482421875}, {"start": 2887.32, "end": 2887.48, "word": " A", "probability": 0.896484375}, {"start": 2887.48, "end": 2888.88, "word": " زائد", "probability": 0.9305013020833334}, {"start": 2888.88, "end": 2889.02, "word": " الـ", "probability": 0.90771484375}, {"start": 2889.02, "end": 2889.22, "word": " R،", "probability": 0.742431640625}, {"start": 2889.22, "end": 2889.48, "word": " يعني", "probability": 0.968017578125}, {"start": 2889.48, "end": 2889.76, "word": " أنا", "probability": 0.72998046875}, {"start": 2889.76, "end": 2890.22, "word": " عندي", "probability": 0.875244140625}, {"start": 2890.22, "end": 2891.52, "word": " فترة،", "probability": 0.9664306640625}, {"start": 2891.52, "end": 2891.84, "word": " هي", "probability": 0.439697265625}, {"start": 2891.84, "end": 2892.5, "word": " الفترة", "probability": 0.9884440104166666}], "temperature": 1.0}, {"id": 122, "seek": 291812, "start": 2893.2, "end": 2918.12, "text": "هذه النقطة ايه؟ طبعاً هذا الـ real line وهذا الـ real line جت عندي مسافة من هنا لهنا اسمها R ليه المسافة دي؟ وهنا مسافة جدها اسمها كذلك R إذاً النقطة هذه اللي احدثي تبعها A زائد الـ R والنقطة هذه اللي احدثي تبعها A ناقص الـ R", "tokens": [3224, 24192, 28239, 47432, 3660, 1975, 1829, 3224, 22807, 23032, 3555, 3615, 995, 14111, 23758, 2423, 39184, 957, 1622, 37037, 15730, 2423, 39184, 957, 1622, 10874, 2655, 18871, 16254, 47524, 31845, 3660, 9154, 34105, 46740, 8315, 24525, 2304, 11296, 497, 32239, 3224, 9673, 3794, 31845, 3660, 11778, 1829, 22807, 37037, 8315, 47524, 31845, 3660, 10874, 3215, 11296, 24525, 2304, 11296, 9122, 8848, 23275, 497, 11933, 15730, 14111, 28239, 47432, 3660, 29538, 13672, 1829, 1975, 24401, 12984, 1829, 6055, 3555, 3615, 11296, 316, 30767, 16373, 3215, 2423, 39184, 497, 16070, 1863, 47432, 3660, 29538, 13672, 1829, 1975, 24401, 12984, 1829, 6055, 3555, 3615, 11296, 316, 8717, 995, 4587, 9381, 2423, 39184, 497], "avg_logprob": -0.19977678478296315, "compression_ratio": 2.0706521739130435, "no_speech_prob": 0.0, "words": [{"start": 2893.2, "end": 2893.8, "word": "هذه", "probability": 0.6591796875}, {"start": 2893.8, "end": 2894.6, "word": " النقطة", "probability": 0.9104817708333334}, {"start": 2894.6, "end": 2895.48, "word": " ايه؟", "probability": 0.74468994140625}, {"start": 2895.48, "end": 2896.08, "word": " طبعاً", "probability": 0.779931640625}, {"start": 2896.08, "end": 2896.34, "word": " هذا", "probability": 0.250244140625}, {"start": 2896.34, "end": 2896.52, "word": " الـ", "probability": 0.7587890625}, {"start": 2896.52, "end": 2896.74, "word": " real", "probability": 0.4833984375}, {"start": 2896.74, "end": 2897.22, "word": " line", "probability": 0.94580078125}, {"start": 2897.22, "end": 2897.88, "word": " وهذا", "probability": 0.88330078125}, {"start": 2897.88, "end": 2898.1, "word": " الـ", "probability": 0.936767578125}, {"start": 2898.1, "end": 2898.32, "word": " real", "probability": 0.9306640625}, {"start": 2898.32, "end": 2899.02, "word": " line", "probability": 0.96044921875}, {"start": 2899.02, "end": 2899.9, "word": " جت", "probability": 0.32293701171875}, {"start": 2899.9, "end": 2900.3, "word": " عندي", "probability": 0.94775390625}, {"start": 2900.3, "end": 2901.14, "word": " مسافة", "probability": 0.98583984375}, {"start": 2901.14, "end": 2901.38, "word": " من", "probability": 0.97998046875}, {"start": 2901.38, "end": 2901.7, "word": " هنا", "probability": 0.99560546875}, {"start": 2901.7, "end": 2902.24, "word": " لهنا", "probability": 0.866455078125}, {"start": 2902.24, "end": 2903.06, "word": " اسمها", "probability": 0.9752604166666666}, {"start": 2903.06, "end": 2903.48, "word": " R", "probability": 0.7783203125}, {"start": 2903.48, "end": 2903.88, "word": " ليه", "probability": 0.536865234375}, {"start": 2903.88, "end": 2904.48, "word": " المسافة", "probability": 0.9715576171875}, {"start": 2904.48, "end": 2905.22, "word": " دي؟", "probability": 0.85205078125}, {"start": 2905.22, "end": 2905.58, "word": " وهنا", "probability": 0.767822265625}, {"start": 2905.58, "end": 2906.22, "word": " مسافة", "probability": 0.98486328125}, {"start": 2906.22, "end": 2906.8, "word": " جدها", "probability": 0.9869791666666666}, {"start": 2906.8, "end": 2907.52, "word": " اسمها", "probability": 0.9840494791666666}, {"start": 2907.52, "end": 2908.2, "word": " كذلك", "probability": 0.99169921875}, {"start": 2908.2, "end": 2908.6, "word": " R", "probability": 0.9482421875}, {"start": 2908.6, "end": 2909.52, "word": " إذاً", "probability": 0.5201009114583334}, {"start": 2909.52, "end": 2910.02, "word": " النقطة", "probability": 0.9783528645833334}, {"start": 2910.02, "end": 2910.22, "word": " هذه", "probability": 0.912109375}, {"start": 2910.22, "end": 2910.4, "word": " اللي", "probability": 0.6614990234375}, {"start": 2910.4, "end": 2910.9, "word": " احدثي", "probability": 0.70703125}, {"start": 2910.9, "end": 2911.6, "word": " تبعها", "probability": 0.9639892578125}, {"start": 2911.6, "end": 2912.08, "word": " A", "probability": 0.65283203125}, {"start": 2912.08, "end": 2912.82, "word": " زائد", "probability": 0.8351236979166666}, {"start": 2912.82, "end": 2913.12, "word": " الـ", "probability": 0.692138671875}, {"start": 2913.12, "end": 2913.38, "word": " R", "probability": 0.59716796875}, {"start": 2913.38, "end": 2914.44, "word": " والنقطة", "probability": 0.8736572265625}, {"start": 2914.44, "end": 2914.66, "word": " هذه", "probability": 0.96435546875}, {"start": 2914.66, "end": 2914.76, "word": " اللي", "probability": 0.984130859375}, {"start": 2914.76, "end": 2915.02, "word": " احدثي", "probability": 0.9224853515625}, {"start": 2915.02, "end": 2915.64, "word": " تبعها", "probability": 0.9921875}, {"start": 2915.64, "end": 2916.28, "word": " A", "probability": 0.96630859375}, {"start": 2916.28, "end": 2917.5, "word": " ناقص", "probability": 0.9461669921875}, {"start": 2917.5, "end": 2917.8, "word": " الـ", "probability": 0.96923828125}, {"start": 2917.8, "end": 2918.12, "word": " R", "probability": 0.8740234375}], "temperature": 1.0}, {"id": 123, "seek": 294228, "start": 2919.36, "end": 2942.28, "text": "يبقى الفترة تتقارب تبقى الفترة اللى عندنا هادى اللى بتبقى converge absolutely لكن بعد الفترة هادى بتكون diverge وقبلها هيك بتكون مالها diverge كذلك إذا ال series converge absolutely على الفترة من A سالب R", "tokens": [1829, 3555, 4587, 7578, 27188, 2655, 25720, 6055, 2655, 4587, 9640, 3555, 6055, 3555, 4587, 7578, 27188, 2655, 25720, 13672, 7578, 43242, 8315, 8032, 18513, 7578, 13672, 7578, 39894, 3555, 4587, 7578, 41881, 3122, 44381, 39182, 27188, 2655, 25720, 8032, 18513, 7578, 39894, 30544, 18558, 432, 4032, 4587, 36150, 11296, 39896, 4117, 39894, 30544, 3714, 6027, 11296, 18558, 432, 9122, 8848, 23275, 11933, 15730, 2423, 2638, 41881, 3122, 15844, 27188, 2655, 25720, 9154, 316, 8608, 6027, 3555, 497], "avg_logprob": -0.1926424092129816, "compression_ratio": 1.8160919540229885, "no_speech_prob": 0.0, "words": [{"start": 2919.36, "end": 2919.92, "word": "يبقى", "probability": 0.8885498046875}, {"start": 2919.92, "end": 2920.4, "word": " الفترة", "probability": 0.9677734375}, {"start": 2920.4, "end": 2921.62, "word": " تتقارب", "probability": 0.73583984375}, {"start": 2921.62, "end": 2922.02, "word": " تبقى", "probability": 0.952880859375}, {"start": 2922.02, "end": 2922.6, "word": " الفترة", "probability": 0.98486328125}, {"start": 2922.6, "end": 2922.84, "word": " اللى", "probability": 0.74267578125}, {"start": 2922.84, "end": 2923.4, "word": " عندنا", "probability": 0.988037109375}, {"start": 2923.4, "end": 2924.04, "word": " هادى", "probability": 0.5977376302083334}, {"start": 2924.04, "end": 2924.5, "word": " اللى", "probability": 0.861572265625}, {"start": 2924.5, "end": 2925.06, "word": " بتبقى", "probability": 0.95849609375}, {"start": 2925.06, "end": 2925.88, "word": " converge", "probability": 0.91259765625}, {"start": 2925.88, "end": 2926.86, "word": " absolutely", "probability": 0.58984375}, {"start": 2926.86, "end": 2927.66, "word": " لكن", "probability": 0.72900390625}, {"start": 2927.66, "end": 2928.18, "word": " بعد", "probability": 0.9130859375}, {"start": 2928.18, "end": 2928.82, "word": " الفترة", "probability": 0.9908854166666666}, {"start": 2928.82, "end": 2929.24, "word": " هادى", "probability": 0.8439127604166666}, {"start": 2929.24, "end": 2929.82, "word": " بتكون", "probability": 0.960693359375}, {"start": 2929.82, "end": 2930.74, "word": " diverge", "probability": 0.572998046875}, {"start": 2930.74, "end": 2931.82, "word": " وقبلها", "probability": 0.9027099609375}, {"start": 2931.82, "end": 2932.22, "word": " هيك", "probability": 0.853515625}, {"start": 2932.22, "end": 2932.64, "word": " بتكون", "probability": 0.90380859375}, {"start": 2932.64, "end": 2933.16, "word": " مالها", "probability": 0.8265787760416666}, {"start": 2933.16, "end": 2934.54, "word": " diverge", "probability": 0.7763671875}, {"start": 2934.54, "end": 2935.2, "word": " كذلك", "probability": 0.9832356770833334}, {"start": 2935.2, "end": 2935.94, "word": " إذا", "probability": 0.5224609375}, {"start": 2935.94, "end": 2936.18, "word": " ال", "probability": 0.91064453125}, {"start": 2936.18, "end": 2936.5, "word": " series", "probability": 0.91845703125}, {"start": 2936.5, "end": 2937.32, "word": " converge", "probability": 0.93017578125}, {"start": 2937.32, "end": 2938.66, "word": " absolutely", "probability": 0.74853515625}, {"start": 2938.66, "end": 2939.42, "word": " على", "probability": 0.91259765625}, {"start": 2939.42, "end": 2940.14, "word": " الفترة", "probability": 0.98828125}, {"start": 2940.14, "end": 2940.62, "word": " من", "probability": 0.984375}, {"start": 2940.62, "end": 2941.16, "word": " A", "probability": 0.46484375}, {"start": 2941.16, "end": 2941.88, "word": " سالب", "probability": 0.7763671875}, {"start": 2941.88, "end": 2942.28, "word": " R", "probability": 0.91552734375}], "temperature": 1.0}, {"id": 124, "seek": 296476, "start": 2944.64, "end": 2964.76, "text": "بعد ال A زائد R Diverge وقبل ال A سالب R مالها Diverge يبقى هذي Converge على الفترة هذي هذي لو جت أحلها معناته A نقص R greater than R يعني X أكبر من مين من A زائد R", "tokens": [3555, 22488, 2423, 316, 30767, 16373, 3215, 497, 413, 1837, 432, 4032, 4587, 36150, 2423, 316, 8608, 6027, 3555, 497, 3714, 6027, 11296, 413, 1837, 432, 7251, 3555, 4587, 7578, 8032, 8848, 1829, 2656, 331, 432, 15844, 27188, 2655, 25720, 8032, 8848, 1829, 8032, 8848, 1829, 45164, 10874, 2655, 5551, 5016, 1211, 11296, 20449, 8315, 47395, 316, 8717, 4587, 9381, 497, 5044, 813, 497, 37495, 22653, 1783, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 316, 30767, 16373, 3215, 497], "avg_logprob": -0.2871093828231096, "compression_ratio": 1.4615384615384615, "no_speech_prob": 0.0, "words": [{"start": 2944.64, "end": 2945.6, "word": "بعد", "probability": 0.6458740234375}, {"start": 2945.6, "end": 2945.8, "word": " ال", "probability": 0.42724609375}, {"start": 2945.8, "end": 2946.02, "word": " A", "probability": 0.258544921875}, {"start": 2946.02, "end": 2946.5, "word": " زائد", "probability": 0.6045328776041666}, {"start": 2946.5, "end": 2946.76, "word": " R", "probability": 0.9111328125}, {"start": 2946.76, "end": 2947.6, "word": " Diverge", "probability": 0.5099690755208334}, {"start": 2947.6, "end": 2948.36, "word": " وقبل", "probability": 0.7132161458333334}, {"start": 2948.36, "end": 2948.64, "word": " ال", "probability": 0.94287109375}, {"start": 2948.64, "end": 2948.92, "word": " A", "probability": 0.95703125}, {"start": 2948.92, "end": 2949.44, "word": " سالب", "probability": 0.7981770833333334}, {"start": 2949.44, "end": 2949.72, "word": " R", "probability": 0.95068359375}, {"start": 2949.72, "end": 2950.22, "word": " مالها", "probability": 0.8172200520833334}, {"start": 2950.22, "end": 2951.68, "word": " Diverge", "probability": 0.7874348958333334}, {"start": 2951.68, "end": 2952.5, "word": " يبقى", "probability": 0.9326171875}, {"start": 2952.5, "end": 2952.76, "word": " هذي", "probability": 0.6682942708333334}, {"start": 2952.76, "end": 2953.4, "word": " Converge", "probability": 0.6944580078125}, {"start": 2953.4, "end": 2953.56, "word": " على", "probability": 0.78759765625}, {"start": 2953.56, "end": 2953.98, "word": " الفترة", "probability": 0.9869791666666666}, {"start": 2953.98, "end": 2954.48, "word": " هذي", "probability": 0.7364908854166666}, {"start": 2954.48, "end": 2955.18, "word": " هذي", "probability": 0.7652994791666666}, {"start": 2955.18, "end": 2955.4, "word": " لو", "probability": 0.9755859375}, {"start": 2955.4, "end": 2955.76, "word": " جت", "probability": 0.7374267578125}, {"start": 2955.76, "end": 2956.62, "word": " أحلها", "probability": 0.8238525390625}, {"start": 2956.62, "end": 2957.58, "word": " معناته", "probability": 0.8837890625}, {"start": 2957.58, "end": 2957.86, "word": " A", "probability": 0.8154296875}, {"start": 2957.86, "end": 2958.44, "word": " نقص", "probability": 0.6571044921875}, {"start": 2958.44, "end": 2958.76, "word": " R", "probability": 0.9052734375}, {"start": 2958.76, "end": 2959.18, "word": " greater", "probability": 0.410400390625}, {"start": 2959.18, "end": 2960.36, "word": " than", "probability": 0.95263671875}, {"start": 2960.36, "end": 2961.0, "word": " R", "probability": 0.88525390625}, {"start": 2961.0, "end": 2961.76, "word": " يعني", "probability": 0.93212890625}, {"start": 2961.76, "end": 2962.24, "word": " X", "probability": 0.90380859375}, {"start": 2962.24, "end": 2962.92, "word": " أكبر", "probability": 0.931640625}, {"start": 2962.92, "end": 2963.16, "word": " من", "probability": 0.97119140625}, {"start": 2963.16, "end": 2963.44, "word": " مين", "probability": 0.6566162109375}, {"start": 2963.44, "end": 2963.68, "word": " من", "probability": 0.9658203125}, {"start": 2963.68, "end": 2963.92, "word": " A", "probability": 0.939453125}, {"start": 2963.92, "end": 2964.44, "word": " زائد", "probability": 0.9658203125}, {"start": 2964.44, "end": 2964.76, "word": " R", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 125, "seek": 298331, "start": 2965.05, "end": 2983.31, "text": "أو الـ X نقص الـ A أقل من سالب R يبقى بيصير الـ X أقل من الـ A نقص R اللي هي جاملها، يبقى هذا حل هذا و هذا، احنا على أي حال، هذا ملزمنيش حلها", "tokens": [10721, 2407, 2423, 39184, 1783, 8717, 4587, 9381, 2423, 39184, 316, 5551, 4587, 1211, 9154, 8608, 6027, 3555, 497, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 2423, 39184, 1783, 5551, 4587, 1211, 9154, 2423, 39184, 316, 8717, 4587, 9381, 497, 13672, 1829, 39896, 10874, 10943, 1211, 11296, 12399, 7251, 3555, 4587, 7578, 23758, 11331, 1211, 23758, 4032, 23758, 12399, 1975, 5016, 8315, 15844, 36632, 11331, 6027, 12399, 23758, 3714, 1211, 11622, 2304, 22653, 8592, 11331, 1211, 11296], "avg_logprob": -0.2774920780447465, "compression_ratio": 1.6971830985915493, "no_speech_prob": 0.0, "words": [{"start": 2965.05, "end": 2965.81, "word": "أو", "probability": 0.65283203125}, {"start": 2965.81, "end": 2966.77, "word": " الـ", "probability": 0.3353271484375}, {"start": 2966.77, "end": 2967.01, "word": " X", "probability": 0.50830078125}, {"start": 2967.01, "end": 2967.55, "word": " نقص", "probability": 0.6697184244791666}, {"start": 2967.55, "end": 2967.75, "word": " الـ", "probability": 0.884765625}, {"start": 2967.75, "end": 2967.95, "word": " A", "probability": 0.720703125}, {"start": 2967.95, "end": 2969.03, "word": " أقل", "probability": 0.978515625}, {"start": 2969.03, "end": 2969.37, "word": " من", "probability": 0.9912109375}, {"start": 2969.37, "end": 2969.97, "word": " سالب", "probability": 0.744140625}, {"start": 2969.97, "end": 2970.39, "word": " R", "probability": 0.7890625}, {"start": 2970.39, "end": 2971.19, "word": " يبقى", "probability": 0.894775390625}, {"start": 2971.19, "end": 2971.57, "word": " بيصير", "probability": 0.82659912109375}, {"start": 2971.57, "end": 2971.77, "word": " الـ", "probability": 0.75048828125}, {"start": 2971.77, "end": 2971.99, "word": " X", "probability": 0.9296875}, {"start": 2971.99, "end": 2973.03, "word": " أقل", "probability": 0.9890950520833334}, {"start": 2973.03, "end": 2973.55, "word": " من", "probability": 0.9931640625}, {"start": 2973.55, "end": 2974.21, "word": " الـ", "probability": 0.8896484375}, {"start": 2974.21, "end": 2974.61, "word": " A", "probability": 0.94189453125}, {"start": 2974.61, "end": 2975.55, "word": " نقص", "probability": 0.9871419270833334}, {"start": 2975.55, "end": 2975.85, "word": " R", "probability": 0.66650390625}, {"start": 2975.85, "end": 2977.11, "word": " اللي", "probability": 0.6661376953125}, {"start": 2977.11, "end": 2977.29, "word": " هي", "probability": 0.8408203125}, {"start": 2977.29, "end": 2978.19, "word": " جاملها،", "probability": 0.68935546875}, {"start": 2978.19, "end": 2978.81, "word": " يبقى", "probability": 0.95751953125}, {"start": 2978.81, "end": 2979.13, "word": " هذا", "probability": 0.7548828125}, {"start": 2979.13, "end": 2979.51, "word": " حل", "probability": 0.945556640625}, {"start": 2979.51, "end": 2979.77, "word": " هذا", "probability": 0.52490234375}, {"start": 2979.77, "end": 2979.93, "word": " و", "probability": 0.8232421875}, {"start": 2979.93, "end": 2980.07, "word": " هذا،", "probability": 0.60595703125}, {"start": 2980.07, "end": 2980.43, "word": " احنا", "probability": 0.86865234375}, {"start": 2980.43, "end": 2980.61, "word": " على", "probability": 0.81396484375}, {"start": 2980.61, "end": 2980.79, "word": " أي", "probability": 0.70947265625}, {"start": 2980.79, "end": 2981.75, "word": " حال،", "probability": 0.8268229166666666}, {"start": 2981.75, "end": 2982.03, "word": " هذا", "probability": 0.450927734375}, {"start": 2982.03, "end": 2982.83, "word": " ملزمنيش", "probability": 0.6532796223958334}, {"start": 2982.83, "end": 2983.31, "word": " حلها", "probability": 0.8883463541666666}], "temperature": 1.0}, {"id": 126, "seek": 301180, "start": 2983.7, "end": 3011.8, "text": "بالزمن هذه لو حلتها دي جبت فترة ال convergence إذا باقى الفترة اللي بضال على الجانبين معاها diverse تمام تمام المضاحفات بيقول لي عند الطرفين اللي عند النقطة هذه و عند النقطة هذه ال series يمكن تبقى converge ويمكن تبقى diverse طيب ماشي العيب جبنبحث كل واحدة فيهم على حدة بعدك four convergence of the four series", "tokens": [3555, 6027, 11622, 27842, 29538, 45164, 11331, 1211, 2655, 11296, 11778, 1829, 10874, 3555, 2655, 6156, 2655, 25720, 2423, 32181, 11933, 15730, 4724, 995, 4587, 7578, 27188, 2655, 25720, 13672, 1829, 4724, 11242, 6027, 15844, 25724, 7649, 3555, 9957, 20449, 995, 11296, 9521, 46811, 10943, 46811, 10943, 9673, 11242, 39319, 5172, 9307, 4724, 1829, 39648, 32239, 43242, 41950, 28480, 9957, 13672, 1829, 43242, 28239, 47432, 3660, 29538, 4032, 43242, 28239, 47432, 3660, 29538, 2423, 2638, 7251, 43020, 6055, 3555, 4587, 7578, 41881, 4032, 32640, 19452, 6055, 3555, 4587, 7578, 9521, 23032, 1829, 3555, 3714, 33599, 1829, 18863, 1829, 3555, 10874, 3555, 1863, 3555, 5016, 12984, 28242, 36764, 24401, 3660, 8978, 16095, 15844, 11331, 3215, 3660, 39182, 4117, 1451, 32181, 295, 264, 1451, 2638], "avg_logprob": -0.22618448181498435, "compression_ratio": 1.9260700389105059, "no_speech_prob": 0.0, "words": [{"start": 2983.7, "end": 2984.32, "word": "بالزمن", "probability": 0.7154541015625}, {"start": 2984.32, "end": 2984.66, "word": " هذه", "probability": 0.7197265625}, {"start": 2984.66, "end": 2984.92, "word": " لو", "probability": 0.455078125}, {"start": 2984.92, "end": 2985.66, "word": " حلتها", "probability": 0.821044921875}, {"start": 2985.66, "end": 2985.82, "word": " دي", "probability": 0.513916015625}, {"start": 2985.82, "end": 2986.14, "word": " جبت", "probability": 0.7799479166666666}, {"start": 2986.14, "end": 2986.54, "word": " فترة", "probability": 0.9944661458333334}, {"start": 2986.54, "end": 2986.82, "word": " ال", "probability": 0.95263671875}, {"start": 2986.82, "end": 2987.38, "word": " convergence", "probability": 0.8837890625}, {"start": 2987.38, "end": 2988.18, "word": " إذا", "probability": 0.794921875}, {"start": 2988.18, "end": 2988.52, "word": " باقى", "probability": 0.802734375}, {"start": 2988.52, "end": 2988.9, "word": " الفترة", "probability": 0.9816080729166666}, {"start": 2988.9, "end": 2989.04, "word": " اللي", "probability": 0.85107421875}, {"start": 2989.04, "end": 2989.38, "word": " بضال", "probability": 0.806640625}, {"start": 2989.38, "end": 2989.54, "word": " على", "probability": 0.341064453125}, {"start": 2989.54, "end": 2990.02, "word": " الجانبين", "probability": 0.9317626953125}, {"start": 2990.02, "end": 2990.46, "word": " معاها", "probability": 0.8365885416666666}, {"start": 2990.46, "end": 2991.56, "word": " diverse", "probability": 0.62060546875}, {"start": 2991.56, "end": 2992.62, "word": " تمام", "probability": 0.957275390625}, {"start": 2992.62, "end": 2993.22, "word": " تمام", "probability": 0.860595703125}, {"start": 2993.22, "end": 2994.56, "word": " المضاحفات", "probability": 0.82626953125}, {"start": 2994.56, "end": 2995.4, "word": " بيقول", "probability": 0.9671223958333334}, {"start": 2995.4, "end": 2995.56, "word": " لي", "probability": 0.2374267578125}, {"start": 2995.56, "end": 2995.92, "word": " عند", "probability": 0.77978515625}, {"start": 2995.92, "end": 2996.68, "word": " الطرفين", "probability": 0.974609375}, {"start": 2996.68, "end": 2996.8, "word": " اللي", "probability": 0.9375}, {"start": 2996.8, "end": 2997.16, "word": " عند", "probability": 0.90771484375}, {"start": 2997.16, "end": 2997.86, "word": " النقطة", "probability": 0.9622395833333334}, {"start": 2997.86, "end": 2998.18, "word": " هذه", "probability": 0.8271484375}, {"start": 2998.18, "end": 2998.3, "word": " و", "probability": 0.9697265625}, {"start": 2998.3, "end": 2998.54, "word": " عند", "probability": 0.68115234375}, {"start": 2998.54, "end": 2999.1, "word": " النقطة", "probability": 0.99072265625}, {"start": 2999.1, "end": 2999.48, "word": " هذه", "probability": 0.861328125}, {"start": 2999.48, "end": 3000.02, "word": " ال", "probability": 0.93994140625}, {"start": 3000.02, "end": 3000.32, "word": " series", "probability": 0.94580078125}, {"start": 3000.32, "end": 3000.9, "word": " يمكن", "probability": 0.981201171875}, {"start": 3000.9, "end": 3001.36, "word": " تبقى", "probability": 0.97216796875}, {"start": 3001.36, "end": 3002.02, "word": " converge", "probability": 0.75732421875}, {"start": 3002.02, "end": 3002.96, "word": " ويمكن", "probability": 0.8893229166666666}, {"start": 3002.96, "end": 3003.72, "word": " تبقى", "probability": 0.99755859375}, {"start": 3003.72, "end": 3004.72, "word": " diverse", "probability": 0.693359375}, {"start": 3004.72, "end": 3005.46, "word": " طيب", "probability": 0.86572265625}, {"start": 3005.46, "end": 3005.74, "word": " ماشي", "probability": 0.9324544270833334}, {"start": 3005.74, "end": 3006.02, "word": " العيب", "probability": 0.7137858072916666}, {"start": 3006.02, "end": 3006.72, "word": " جبنبحث", "probability": 0.5328369140625}, {"start": 3006.72, "end": 3007.0, "word": " كل", "probability": 0.95654296875}, {"start": 3007.0, "end": 3007.4, "word": " واحدة", "probability": 0.9729817708333334}, {"start": 3007.4, "end": 3007.88, "word": " فيهم", "probability": 0.97900390625}, {"start": 3007.88, "end": 3008.5, "word": " على", "probability": 0.908203125}, {"start": 3008.5, "end": 3009.14, "word": " حدة", "probability": 0.6018473307291666}, {"start": 3009.14, "end": 3009.84, "word": " بعدك", "probability": 0.414306640625}, {"start": 3009.84, "end": 3010.1, "word": " four", "probability": 0.818359375}, {"start": 3010.1, "end": 3010.72, "word": " convergence", "probability": 0.8876953125}, {"start": 3010.72, "end": 3010.98, "word": " of", "probability": 0.95361328125}, {"start": 3010.98, "end": 3011.14, "word": " the", "probability": 0.88671875}, {"start": 3011.14, "end": 3011.42, "word": " four", "probability": 0.77197265625}, {"start": 3011.42, "end": 3011.8, "word": " series", "probability": 0.935546875}], "temperature": 1.0}, {"id": 127, "seek": 303505, "start": 3012.07, "end": 3035.05, "text": "بنستخدم احد اختبارين، يا اما اختبار النسبة، يا اما اختبار الجذر ان انا باطلع في شكل المسألة، وبناء عليه بحكم الاختبار النسبة او اختبار الجذر ان انا وكون X ماعرفاش موجب والله سالب اذا لازم ااخد ال absolute يعني the series of absolute values", "tokens": [3555, 1863, 14851, 9778, 40448, 1975, 24401, 1975, 46456, 3555, 9640, 9957, 12399, 35186, 1975, 15042, 1975, 46456, 3555, 9640, 28239, 35457, 3660, 12399, 35186, 1975, 15042, 1975, 46456, 3555, 9640, 25724, 8848, 2288, 16472, 1975, 8315, 4724, 41193, 1211, 3615, 8978, 13412, 28820, 9673, 3794, 10721, 37977, 12399, 46599, 1863, 16606, 47356, 4724, 5016, 24793, 2423, 47283, 2655, 3555, 9640, 28239, 35457, 3660, 1975, 2407, 1975, 46456, 3555, 9640, 25724, 8848, 2288, 16472, 1975, 8315, 4032, 30544, 1783, 19446, 3615, 28480, 33599, 3714, 29245, 3555, 16070, 43761, 8608, 6027, 3555, 1975, 15730, 5296, 31377, 2304, 1975, 47283, 3215, 2423, 8236, 37495, 22653, 264, 2638, 295, 8236, 4190], "avg_logprob": -0.22606077380136613, "compression_ratio": 1.9278846153846154, "no_speech_prob": 0.0, "words": [{"start": 3012.07, "end": 3013.21, "word": "بنستخدم", "probability": 0.835498046875}, {"start": 3013.21, "end": 3013.83, "word": " احد", "probability": 0.7587890625}, {"start": 3013.83, "end": 3015.19, "word": " اختبارين،", "probability": 0.8994954427083334}, {"start": 3015.19, "end": 3015.33, "word": " يا", "probability": 0.546875}, {"start": 3015.33, "end": 3015.53, "word": " اما", "probability": 0.83447265625}, {"start": 3015.53, "end": 3016.03, "word": " اختبار", "probability": 0.9769287109375}, {"start": 3016.03, "end": 3017.09, "word": " النسبة،", "probability": 0.8800048828125}, {"start": 3017.09, "end": 3017.23, "word": " يا", "probability": 0.96533203125}, {"start": 3017.23, "end": 3017.49, "word": " اما", "probability": 0.953125}, {"start": 3017.49, "end": 3017.99, "word": " اختبار", "probability": 0.9793701171875}, {"start": 3017.99, "end": 3018.43, "word": " الجذر", "probability": 0.6988118489583334}, {"start": 3018.43, "end": 3018.61, "word": " ان", "probability": 0.437255859375}, {"start": 3018.61, "end": 3018.75, "word": " انا", "probability": 0.636962890625}, {"start": 3018.75, "end": 3019.57, "word": " باطلع", "probability": 0.844482421875}, {"start": 3019.57, "end": 3019.75, "word": " في", "probability": 0.9072265625}, {"start": 3019.75, "end": 3020.15, "word": " شكل", "probability": 0.931640625}, {"start": 3020.15, "end": 3021.21, "word": " المسألة،", "probability": 0.88388671875}, {"start": 3021.21, "end": 3021.73, "word": " وبناء", "probability": 0.8263346354166666}, {"start": 3021.73, "end": 3022.35, "word": " عليه", "probability": 0.958984375}, {"start": 3022.35, "end": 3023.29, "word": " بحكم", "probability": 0.9075520833333334}, {"start": 3023.29, "end": 3023.97, "word": " الاختبار", "probability": 0.8350341796875}, {"start": 3023.97, "end": 3024.61, "word": " النسبة", "probability": 0.98486328125}, {"start": 3024.61, "end": 3025.25, "word": " او", "probability": 0.8369140625}, {"start": 3025.25, "end": 3025.73, "word": " اختبار", "probability": 0.964111328125}, {"start": 3025.73, "end": 3026.19, "word": " الجذر", "probability": 0.98828125}, {"start": 3026.19, "end": 3026.35, "word": " ان", "probability": 0.7841796875}, {"start": 3026.35, "end": 3026.51, "word": " انا", "probability": 0.789306640625}, {"start": 3026.51, "end": 3026.99, "word": " وكون", "probability": 0.584228515625}, {"start": 3026.99, "end": 3027.27, "word": " X", "probability": 0.55712890625}, {"start": 3027.27, "end": 3027.89, "word": " ماعرفاش", "probability": 0.75775146484375}, {"start": 3027.89, "end": 3028.27, "word": " موجب", "probability": 0.87060546875}, {"start": 3028.27, "end": 3028.53, "word": " والله", "probability": 0.6435546875}, {"start": 3028.53, "end": 3028.95, "word": " سالب", "probability": 0.7141927083333334}, {"start": 3028.95, "end": 3029.61, "word": " اذا", "probability": 0.619873046875}, {"start": 3029.61, "end": 3030.11, "word": " لازم", "probability": 0.98681640625}, {"start": 3030.11, "end": 3030.81, "word": " ااخد", "probability": 0.7742513020833334}, {"start": 3030.81, "end": 3031.67, "word": " ال", "probability": 0.82275390625}, {"start": 3031.67, "end": 3031.97, "word": " absolute", "probability": 0.72509765625}, {"start": 3031.97, "end": 3032.43, "word": " يعني", "probability": 0.796630859375}, {"start": 3032.43, "end": 3032.59, "word": " the", "probability": 0.322021484375}, {"start": 3032.59, "end": 3033.09, "word": " series", "probability": 0.919921875}, {"start": 3033.09, "end": 3033.59, "word": " of", "probability": 0.978515625}, {"start": 3033.59, "end": 3034.41, "word": " absolute", "probability": 0.953125}, {"start": 3034.41, "end": 3035.05, "word": " values", "probability": 0.86865234375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3035.5215, "duration_after_vad": 2868.8665937499927}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/jTcVRskg5cM_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/jTcVRskg5cM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..df2f364f9282c8a49b6424cf07f6065b95466585
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/jTcVRskg5cM_postprocess.srt
@@ -0,0 +1,1860 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:10,930 --> 00:00:15,190
+بسم الله الرحمن الرحيم اليوم ان شاء الله بنكمل عن
+
+3
+00:00:15,190 --> 00:00:18,490
+الموضوع اللى بدنا فيه المرة الماضية وهو ال inverse
+
+4
+00:00:18,490 --> 00:00:22,650
+function معكوس الدالة اخر حاجة اعطيناها المرة اللى
+
+5
+00:00:22,650 --> 00:00:28,630
+فات كان مثال على كيفية اثبات ان دالتين واحدة معكوس
+
+6
+00:00:28,630 --> 00:00:33,530
+للثانية الان بناخد مثال اخر حول نفس المفهوم لكن
+
+7
+00:00:33,530 --> 00:00:37,950
+بفكرة اخرى المثال بيقول ما يأتي let ال F of X
+
+8
+00:00:40,820 --> 00:00:48,340
+الـ f of x تساوي اللي هو الـ x تكيب زائد اتنين x
+
+9
+00:00:48,340 --> 00:00:55,700
+ناقص ثلاثة المطلوب
+
+10
+00:00:55,700 --> 00:01:05,320
+find the value of
+
+11
+00:01:05,320 --> 00:01:18,310
+a fال F inverse of A بده يساوي اتنين solution
+
+12
+00:01:26,960 --> 00:01:31,980
+هذا المثال يختلف عن المثال السابق لكن يحوم حول نفس
+
+13
+00:01:31,980 --> 00:01:36,260
+الفكرة تماما المرة اللي فاتت اعطاناك two functions
+
+14
+00:01:36,260 --> 00:01:41,400
+وقولنا اثبت ان هذه الدالة هي معكوز لدالة ثانية وقد
+
+15
+00:01:41,400 --> 00:01:45,740
+اثبتنا ذلكهذا المعطيين f of x ساوي x تكييب زايد
+
+16
+00:01:45,740 --> 00:01:50,540
+اتنين x ناقص تلاتة و قال لي هاتلي قيمة اللي هو a
+
+17
+00:01:50,540 --> 00:01:55,760
+بحيث ان ال f inverse of a بده يساوي مين تساوي
+
+18
+00:01:55,760 --> 00:02:00,300
+اتنين اذا المعطيات اللي عندنا في هذه المسألة هي f
+
+19
+00:02:00,300 --> 00:02:08,010
+inverse of a بده يساوي قداش اتنينبدنا قيمة A يعني
+
+20
+00:02:08,010 --> 00:02:12,990
+معناته بدنا نتخلص من ال F inverse تمام؟ بدك تعمل
+
+21
+00:02:12,990 --> 00:02:18,290
+أي شغلة رياضية بواسطتها تتخلص من ال F inverse واضح
+
+22
+00:02:18,290 --> 00:02:23,830
+انه من هذه المعادلة انه لو جينا أثرنا على الطرفين
+
+23
+00:02:23,830 --> 00:02:29,730
+بمين؟بدالة F ممتاز جدا يبقى لو أثرنا على الطرفين
+
+24
+00:02:29,730 --> 00:02:35,270
+بدالة F بنتخلص من مين و بنحصل على مين و بعد هيك
+
+25
+00:02:35,270 --> 00:02:41,570
+ربك بفرجها يبقى بنيجي بنقول هنا ال F لل F inverse
+
+26
+00:02:41,570 --> 00:02:49,060
+of A بده يساوي ال F of اتنينطب الخطوة اللى عملتها
+
+27
+00:02:49,060 --> 00:02:55,160
+خطوة صحيحة ولا خطوة ليست صحيحة الاجابة الخطوة خطوة
+
+28
+00:02:55,160 --> 00:03:00,880
+صحيحة لماذا لإنه لما نقول F inverse of A يساوي 2
+
+29
+00:03:00,880 --> 00:03:06,540
+معناته ال A في domain ال F inverse و 2 في ال range
+
+30
+00:03:06,540 --> 00:03:10,660
+تبع ال F inverse اللى هو domain مين domain ال F
+
+31
+00:03:10,660 --> 00:03:14,840
+ممتاز جدا يبقى مادام في domain ال F إذا ال F بتقدر
+
+32
+00:03:14,840 --> 00:03:19,330
+تأثر على 2 يبقى الخطوة اللى عملتهاخطوة صحيحة ماحدش
+
+33
+00:03:19,330 --> 00:03:24,530
+بقدر يقولي خطوة تكادى خطأ تمام تمام طيب الدالة لو
+
+34
+00:03:24,530 --> 00:03:29,350
+معكوسها هذا يعتبر ال composition ما بين الاتنين او
+
+35
+00:03:29,350 --> 00:03:34,170
+واحدة تلغى التانية يبقى بيصير عندنا ال A بده يساوي
+
+36
+00:03:34,170 --> 00:03:39,410
+ال F of اتنين يبقى ال A تساوي باجي على الدالة اللى
+
+37
+00:03:39,410 --> 00:03:45,350
+عندى و بشيل كل X و بحط مكانهاأتنين يبقى اتنين الكل
+
+38
+00:03:45,350 --> 00:03:52,130
+تكييب زائد اتنين في اتنين ناقص تلاتة هذا بده يقين
+
+39
+00:03:52,130 --> 00:03:58,710
+ان ال a تساوي تمانية واربعة اتناش شيل منهم تلاتة
+
+40
+00:03:58,710 --> 00:04:04,670
+بيظل كده؟ بيظل تسعة اذا قيمة a تساوي تسعة اللي هو
+
+41
+00:04:04,670 --> 00:04:12,060
+المطلوب تبع المثلةالان حتى الان ماقولناش كيف بدنا
+
+42
+00:04:12,060 --> 00:04:15,140
+نحسب المعكوس تبع الدالة
+
+43
+00:04:21,910 --> 00:04:33,130
+مش هنجيب شكل
+
+44
+00:04:33,130 --> 00:04:41,770
+المعكوس نعمل خطوات لا ثالث لهماما هي الخطوات
+
+45
+00:04:41,770 --> 00:04:48,330
+الأثنين؟ الخطوة الأولى نحن لدينا y كدلة في x y
+
+46
+00:04:48,330 --> 00:04:55,700
+تساوي f of x هي المعطة عندنابتروح تعمل x كدلة في y
+
+47
+00:04:55,700 --> 00:04:59,640
+يعني بدي اعمل ايه كأنه بدي اغير وضع ال variable
+
+48
+00:04:59,640 --> 00:05:05,540
+يبقى بدي اجيب x as a function of y بعد ما اجيب هذه
+
+49
+00:05:05,540 --> 00:05:10,160
+الخطوة التانية بدي اعمل interchange تغيير بين ال x
+
+50
+00:05:10,160 --> 00:05:14,540
+و ال y يعني بدي اشيل كل x و احط مكانها y و اشيل كل
+
+51
+00:05:14,540 --> 00:05:20,270
+y و احط مكانها x اللي بطلع بكون هو معكوس الدلةطبعا
+
+52
+00:05:20,270 --> 00:05:27,310
+يبقى خطوتين لثالث لهم نطرح السؤال ثم نجيب عليه how
+
+53
+00:05:27,310 --> 00:05:43,130
+to find if inverse of x from the function y تساوي
+
+54
+00:05:43,130 --> 00:05:44,670
+if of x
+
+55
+00:05:48,370 --> 00:05:55,030
+كيف بدنا نجد معكوسة دالة F من المعادلة Y تساوي F
+
+56
+00:05:55,030 --> 00:05:59,910
+of X قولنا هذا الكلام سيتم على خطوتين الخطوة
+
+57
+00:05:59,910 --> 00:06:06,190
+الأولى بدنا نحل المعادلة هذه مشان نحصل على X as a
+
+58
+00:06:06,190 --> 00:06:12,430
+function of Y يبقى الخطوة الأولى Solve the
+
+59
+00:06:12,430 --> 00:06:26,320
+equation Y تساوي F of Xto get x as a function of y
+
+60
+00:06:26,320 --> 00:06:40,540
+as a function of y اتنين interchange interchange
+
+61
+00:06:40,540 --> 00:06:45,460
+ال x and ال y
+
+62
+00:06:51,820 --> 00:06:57,840
+والترتيب هو y
+
+63
+00:06:57,840 --> 00:07:01,620
+تساوي f inverse of x
+
+64
+00:07:14,950 --> 00:07:20,090
+يبقى السؤال اللي مطروح عندنا كيف بدنا نجد معكوسة
+
+65
+00:07:20,090 --> 00:07:26,050
+دالة y تساوي f of x الإجابة خطواتين لثالثة لهم
+
+66
+00:07:26,050 --> 00:07:31,790
+خطوة الأولى بدنا نحل المعادلة y تساوي f of x بحيث
+
+67
+00:07:31,790 --> 00:07:37,730
+تصبح على الصورة x دالة في y بحيث ال x تصبح هي
+
+68
+00:07:37,730 --> 00:07:41,760
+function في مين؟ في yالـ function اللى حصلنا عليها
+
+69
+00:07:41,760 --> 00:07:46,140
+دى بدأ أبدل خطوة تانية بدأ أبدل x و y مكان بعض
+
+70
+00:07:46,140 --> 00:07:49,580
+تبدأ أشيل كل x و أحط مكانها y و أشيل كل y و أحط
+
+71
+00:07:49,580 --> 00:07:54,620
+مكانها x المعادلة النتيجة بتكون هي معكوس f ده اللى
+
+72
+00:07:54,620 --> 00:07:59,430
+طيب ممتاز جداالمرة اللي فات لما أخدنا تعريف معكوس
+
+73
+00:07:59,430 --> 00:08:05,070
+الدالة قولنا لو كانت النقطة A وB موجودة على الرسم
+
+74
+00:08:05,070 --> 00:08:10,870
+البياني للدالة يعني F of A بدأ يسمى مين؟ B طيب
+
+75
+00:08:10,870 --> 00:08:17,220
+النقطة B وA موجودة على منحنى مين؟على منحنى المعكوس
+
+76
+00:08:17,220 --> 00:08:24,920
+يبقى الحالة الأولى اذا او بي موجودة على منحنى
+
+77
+00:08:24,920 --> 00:08:30,840
+الدالة F فان بي و اي موجودة على معكوس الدالة F
+
+78
+00:08:30,840 --> 00:08:31,180
+inverse
+
+79
+00:08:33,940 --> 00:08:40,540
+انتر اتشينج X ب Y و Y منين ب X يبقى تماما اذا كان
+
+80
+00:08:40,540 --> 00:08:45,440
+A و B على منحنى F فان النقطة B و A موجودة على
+
+81
+00:08:45,440 --> 00:08:50,620
+منحنى منين على منحنى ال F inverse وهذا ينطبق تماما
+
+82
+00:08:50,620 --> 00:08:56,000
+مع الخطوات اللي احنا قلنا عليهم هدول طيب لو حبينا
+
+83
+00:08:56,000 --> 00:09:02,420
+نرسم رسم بيانيلمن؟ للمعكوس تبع الدالة يعني عندي
+
+84
+00:09:02,420 --> 00:09:07,760
+رسمة الدالة و بدى اجيب الرسم البياني لمعكوس الدالة
+
+85
+00:09:07,760 --> 00:09:13,360
+احنا بنقول لو كان a و b على منحلة دالة f يبقى b و
+
+86
+00:09:13,360 --> 00:09:18,780
+a موجودة على ال F inverse هذا معناه ان احنا بنقلب
+
+87
+00:09:18,780 --> 00:09:27,100
+رسمة الدالة F عبر الخط Y تساوي Xمظبوط؟ إذا بتذكروا
+
+88
+00:09:27,100 --> 00:09:31,400
+لما درسنا ال shift في calculus a في section واحد
+
+89
+00:09:31,400 --> 00:09:36,080
+اتنين بجينا نقول لو شيلنا ال X و حطينا مكانها
+
+90
+00:09:36,080 --> 00:09:41,140
+السالم X بنقلب الرسم عبر محور one صحيح ولا لأ؟
+
+91
+00:09:41,140 --> 00:09:44,840
+وإذا ضربنا الدالة كلها في إشارة سالم بنقلب الرسم
+
+92
+00:09:44,840 --> 00:09:50,360
+عبر محور X ممتاز إذا نيبجي هنا لأ بنقلبها عبر الخط
+
+93
+00:09:50,360 --> 00:09:57,430
+Y تساويممتاز ان نكتب الملاحظة هذه ونرسمها كدالة
+
+94
+00:09:57,430 --> 00:10:03,830
+ومعكوسة لنرى كيف يحصل هذا الإنقلاب يبقى نكتب هذه
+
+95
+00:10:03,830 --> 00:10:12,450
+الملاحظة التالية Note the graphs of
+
+96
+00:10:12,450 --> 00:10:19,590
+ال F andالـ F inverse الرسم البياني للدالة F و F
+
+97
+00:10:19,590 --> 00:10:28,210
+inverse are symmetric about
+
+98
+00:10:28,210 --> 00:10:33,810
+the
+
+99
+00:10:33,810 --> 00:10:43,810
+line Y تساوي X كمان
+
+100
+00:10:43,810 --> 00:11:00,210
+من هنا نقول FA وB is a point on the graph of F
+
+101
+00:11:00,210 --> 00:11:14,530
+then the point B وA is a point on
+
+102
+00:11:16,100 --> 00:11:22,140
+هو مقعد على
+
+103
+00:11:22,140 --> 00:11:29,660
+مقعد ف انفراد
+
+104
+00:11:33,160 --> 00:11:39,920
+يعني فرض على سبيل المثال رسمنا رسمة الدالة F فكان
+
+105
+00:11:39,920 --> 00:11:44,780
+شكل الرسمة على الشكل اللي عندنا هذا يبقى كان هذا
+
+106
+00:11:44,780 --> 00:11:52,880
+المنحنى Y تساوي F of X قطع محور أو قطع الخط Y
+
+107
+00:11:52,880 --> 00:11:59,950
+تساوي X عند هذه النقطةالان بدنا نرسم مين؟ المعكوس
+
+108
+00:11:59,950 --> 00:12:05,690
+تبع هذه الدالة يبقى بدنا نقلب هذه الرسم عبر خط Y
+
+109
+00:12:05,690 --> 00:12:11,990
+تسوى مين؟ X يبقى الجزء من الرسم اللي كان أعلى اللي
+
+110
+00:12:11,990 --> 00:12:16,270
+هو الخط Y تسوى X بيصير مين؟ أسفله و اللي كان أسفله
+
+111
+00:12:16,270 --> 00:12:22,650
+بيصير مين؟ أعلى و هكذاطيب لو جيت افترضت ان هذه
+
+112
+00:12:22,650 --> 00:12:29,270
+النقطة مثلا كانت سالي ب اتنين و Zero لما نقلب ايش
+
+113
+00:12:29,270 --> 00:12:34,490
+بده يحصل؟ Zero سالي ب اتنين يبقى Zero على محور X و
+
+114
+00:12:34,490 --> 00:12:39,450
+سالي ب اتنين بده أنزل هنا هذه المسافة جد المسافة
+
+115
+00:12:39,450 --> 00:12:44,960
+هذه بالضبط تماماهذا concave down إذا هذي بده يصير
+
+116
+00:12:44,960 --> 00:12:49,760
+concave up هذا هنا concave up بده يصير concave
+
+117
+00:12:49,760 --> 00:12:58,620
+down وهكذا يبقى يجيك المنحنة هكذا بهذا الشكل تمام؟
+
+118
+00:12:58,620 --> 00:13:06,360
+يبقى هذه اللي هي رسمة Y تساوي F inverse of X بهذا
+
+119
+00:13:06,360 --> 00:13:13,020
+الشكليبقى هاي قلبنا الرسمة عبر main عبر الخط y
+
+120
+00:13:13,020 --> 00:13:18,080
+تساوي x نبدأ نشتغل الشغل الرياضي يعني الشغل العملي
+
+121
+00:13:18,080 --> 00:13:26,220
+فاخد المثال التالي example determine
+
+122
+00:13:26,220 --> 00:13:35,640
+whether or not determine whether or not
+
+123
+00:13:38,620 --> 00:13:49,240
+أو لا فالعملاء اللي يتبعون هم
+
+124
+00:13:49,240 --> 00:13:56,620
+واحد لواحد إذا
+
+125
+00:13:56,620 --> 00:14:01,380
+كان الأمر
+
+126
+00:14:01,380 --> 00:14:07,800
+كذلك فانتج انتج انتج انتج انتج انتج
+
+127
+00:14:11,990 --> 00:14:21,530
+النقطة الأولى F of X يساوي تلاتة X تربيع زائد
+
+128
+00:14:21,530 --> 00:14:22,290
+واحدة
+
+129
+00:14:25,570 --> 00:14:30,070
+بنجي نشوف هل هذه الدالة one to one ام لا هذا
+
+130
+00:14:30,070 --> 00:14:33,890
+المطلوب الاول اذا طلعت الدالة one to one يبقى
+
+131
+00:14:33,890 --> 00:14:40,910
+المعكوس موجود يبقى بدنا هذا المعكوس تمام تمام بنجي
+
+132
+00:14:40,910 --> 00:14:45,990
+نقول F of X سوى تلاتة X تربية زي واحد بدا اتأكد هل
+
+133
+00:14:45,990 --> 00:14:50,910
+هذه one to one ام لا عندنا اكثر من طريقة زي ما
+
+134
+00:14:50,910 --> 00:14:55,980
+اتعودنا بدل الطريقة ايه تلاتةلكن بمجرد النظر إذا
+
+135
+00:14:55,980 --> 00:15:01,360
+الدالة كلها أسس زوجية automatic طبعا ماعليهاش
+
+136
+00:15:01,360 --> 00:15:06,060
+condition مايكونش فيه شرط تاني هنا خالي هيك يبقى
+
+137
+00:15:06,060 --> 00:15:10,360
+automatic هذه ليست one to one لأن القيمة الموجبة
+
+138
+00:15:10,830 --> 00:15:14,890
+بدت يعطيني نفس القيمة السلبية، يعني لما أعوض ب X
+
+139
+00:15:14,890 --> 00:15:19,610
+بقيمة موجبة تماما كما لو أعوض ب X بقيمة سلبية تطلع
+
+140
+00:15:19,610 --> 00:15:25,230
+نفس النتيجة، يعني بيصير عنصرين مختلفين واحد موجوه،
+
+141
+00:15:25,230 --> 00:15:30,130
+لهما نفس الصورة إذا ليست one to one، أنو أضح هذا
+
+142
+00:15:30,130 --> 00:15:36,990
+الكلام، فباجي بقول لو كان أخد مثلا F و B اتنينيبقى
+
+143
+00:15:36,990 --> 00:15:41,310
+F of اتنين اللي هو تلاتة في اتنين تربيه ازايد واحد
+
+144
+00:15:41,310 --> 00:15:48,510
+اربع في تلاتة في اتناش وواحد تلاتاش and ال F of
+
+145
+00:15:48,510 --> 00:15:53,850
+سالي باتنين يساوي تلاتة في سالي باتنين الكل تربيه
+
+146
+00:15:53,850 --> 00:15:59,550
+ازايد واحد يساوي كذلك تلاتاش يبقى معناه هذا الكلام
+
+147
+00:15:59,550 --> 00:16:06,280
+ما له؟ال F is not
+
+148
+00:16:06,280 --> 00:16:13,580
+one to one because ال F of اتنين بده يساوي F of
+
+149
+00:16:13,580 --> 00:16:20,620
+سالب اتنين but ولكن اتنين لا تساوي سالب اتنين يبقى
+
+150
+00:16:20,620 --> 00:16:26,360
+في عندي معكوسفيش ليست one to one فبناخد النقطة
+
+151
+00:16:26,360 --> 00:16:35,140
+التانية يبقى هنا ال F inverse does not exist مش
+
+152
+00:16:35,140 --> 00:16:42,400
+موجود خدلي النقطة الثانية نمره اتنين بدي اخد ال F
+
+153
+00:16:42,400 --> 00:16:49,640
+of X بدي ساوي اللي هو اتنين ناقص X لكل K
+
+154
+00:16:55,640 --> 00:17:00,620
+الان بناعطيك طريقة اخرى عملية غير الطريقتين اللى
+
+155
+00:17:00,620 --> 00:17:03,540
+اتعودنا عليهم المرة الماضية وفي الأمثلة السابقة
+
+156
+00:17:03,540 --> 00:17:08,720
+بدي استخدم الاشتقاق في اثبات ان هذه one to one ام
+
+157
+00:17:08,720 --> 00:17:15,200
+لا اذا هنا لو جيت قلت بدي اخد ال F prime of X يبقى
+
+158
+00:17:15,200 --> 00:17:22,950
+مشتاقة كم؟ هي تلاتةفي اثنين ناقص X لكل ترابيع في
+
+159
+00:17:22,950 --> 00:17:27,310
+مشتقة ما داخل القصر اللي هو السالب واحد يبقى بصير
+
+160
+00:17:27,310 --> 00:17:32,550
+بالشكل اللي عندنا هذا السؤال هو هدى عمرها بتاخد
+
+161
+00:17:32,550 --> 00:17:38,450
+قيمة سالبة؟ لأ لأنها كمية مربعة سالب و الله موجبة
+
+162
+00:17:38,450 --> 00:17:42,780
+لما تربعها بصير موجبة مسبوقة بإشارة مين؟إذا
+
+163
+00:17:42,780 --> 00:17:48,540
+المقدار هذا دائما وأبدا أقل من Zero بيساوي Zero
+
+164
+00:17:48,540 --> 00:17:53,800
+فقط عند X يساوي اتنين صحيح ولا لا؟ إذا هذا الكلام
+
+165
+00:17:53,800 --> 00:18:01,520
+أقل من وقد يساوي Zero for all X طب ما تفسيرك لذلك؟
+
+166
+00:18:01,520 --> 00:18:08,080
+شو الدالة F تبقى؟ decreasing ممتاز يبقى هذا يعطينا
+
+167
+00:18:08,080 --> 00:18:14,750
+أن ال F is decreasingما دام ال f is decreasing
+
+168
+00:18:14,750 --> 00:18:21,530
+يبقى هذا يعطيك ان ال f is one to one ما دام ال f
+
+169
+00:18:21,530 --> 00:18:27,310
+one to one يبقى هذا معناه ان ال f inverse exists
+
+170
+00:18:31,390 --> 00:18:36,750
+يبقى أثبتنا إن المعكوس موجود، الآن بدنا نوجد هذا
+
+171
+00:18:36,750 --> 00:18:41,810
+المعكوس، كيف؟ قال لي if so يعني إذا كانت الدالة
+
+172
+00:18:41,810 --> 00:18:46,170
+one to one يبقى المعكوس موجود، if so إن كان الأمر
+
+173
+00:18:46,170 --> 00:18:52,530
+كذلكهات لي شكل المعكوس، وطبعا هذه أول مرة بناخد
+
+174
+00:18:52,530 --> 00:18:57,230
+فيها مثال على كيفية إيجاد المعكوس، بالأن بنطبق
+
+175
+00:18:57,230 --> 00:19:00,930
+الكلام اللي قلناه هناك الخطوتين اللي حكينا عنهم
+
+176
+00:19:00,930 --> 00:19:07,860
+هنا قبل قليليبقى بداجي كتالة باجي بقول احنا عندنا
+
+177
+00:19:07,860 --> 00:19:13,620
+هذا ال F of X يعني يا شباب ممكن اكتبها Y تساوي
+
+178
+00:19:13,620 --> 00:19:21,400
+اتنين ناقص X لكل تكعيب بدي احلها بأي طريقة رياضية،
+
+179
+00:19:21,400 --> 00:19:26,880
+جامع، طرح، ضرب، قسمة، أخد جذور، تكعيب، ما بعرف بأي
+
+180
+00:19:26,880 --> 00:19:31,360
+وسيلة رياضية تقدر عليها بحيث أخل ال X في الشجرة
+
+181
+00:19:31,360 --> 00:19:36,220
+والباقي كله اين؟فى شجة تانى يبقى بقوله بسيطة جدا
+
+182
+00:19:36,220 --> 00:19:41,440
+خد الجذر التالت للطرفين مظبوط يبقى لو أخدنا الجذر
+
+183
+00:19:41,440 --> 00:19:47,220
+التالت للطرفين بصير الجذر التالت ل Y يساوي اتنين
+
+184
+00:19:47,220 --> 00:19:53,620
+ناقص ال X أنا بده X فى شجة يبقى باجى بقول هنا بصير
+
+185
+00:19:53,620 --> 00:20:00,540
+عندنا ال X يساوي اتنين ناقص الجذر التالت ل Y
+
+186
+00:20:01,940 --> 00:20:08,760
+انتهينا من الخطوة الأولى جيبنا X as a function of
+
+187
+00:20:08,760 --> 00:20:12,840
+Y اللي هي الخطوة الأولى حلينا المعادلة هذه بحيث
+
+188
+00:20:12,840 --> 00:20:17,340
+خلينا X ذلة في main في Y انتهينا من الخطوة الأولى
+
+189
+00:20:17,340 --> 00:20:22,940
+هذه الخطوة الأولى بدأجي للخطوة التانية الخطوة
+
+190
+00:20:22,940 --> 00:20:26,460
+التانية ايش بدي اعمله او بلاشي مشان الأرقام ما
+
+191
+00:20:26,460 --> 00:20:33,240
+تكونش زي بعضها حطلي هذه I و هذه double Iخطوة تانية
+
+192
+00:20:33,240 --> 00:20:37,680
+بدي اعمل interchange ما بين ال X و ما بين ال Y
+
+193
+00:20:37,680 --> 00:20:44,700
+يبقى هنا بجي بقولك interchange ال
+
+194
+00:20:44,700 --> 00:20:52,060
+X and ال Y we get نحصل على ما يأتي ال Y تساوي
+
+195
+00:20:52,060 --> 00:20:59,660
+اتنين ناقص الجذر التالت ال X مين هي هذه؟هذا هو الـ
+
+196
+00:20:59,660 --> 00:21:07,800
+F inverse of X اللي نبحث عليه طب كويسي بجان تهيرا
+
+197
+00:21:07,800 --> 00:21:14,840
+نحل السؤال هذا السؤال يعتبر تطبيق مباشر على الجزء
+
+198
+00:21:14,840 --> 00:21:21,140
+النظري اللي حكينا فيه وهو كيفية إيجاد معكوث الدلة
+
+199
+00:21:21,770 --> 00:21:26,710
+الان مش كل المثال بتيجي بهالبساطة وبهالسهولة هيك
+
+200
+00:21:26,710 --> 00:21:32,630
+يعني بعض المثال فيها ايه فكري شوية خد كمان مثال
+
+201
+00:21:32,630 --> 00:21:37,610
+ونشوف كيف بدنا نعمل فيه كمان مثال يبقى example 3
+
+202
+00:21:39,020 --> 00:21:45,880
+أول نقطة تالتة بيقول ال F of X يساوي ال X تربيع
+
+203
+00:21:45,880 --> 00:21:52,220
+ناقص اتنين X وحطلي condition ان ال X اقل من او
+
+204
+00:21:52,220 --> 00:22:00,000
+يساوي ال واحد قبل ما نبدأ الحل لو جينا سألنا وقلنا
+
+205
+00:22:00,000 --> 00:22:05,200
+لو محطليش ال condition هذا جالي واحد يساوي X تربيع
+
+206
+00:22:05,200 --> 00:22:14,190
+ناقص اتنين هذه معادلة ايش؟معادلة ايش هذه؟ why
+
+207
+00:22:14,190 --> 00:22:22,310
+ماهياش مربع، لكن ال X تاربيع، يبقى معادلتاش؟معادلة
+
+208
+00:22:22,310 --> 00:22:27,030
+فرابولة بس معمولة لها shift مظبوط؟ يبقى هذه معادلة
+
+209
+00:22:27,030 --> 00:22:31,110
+فرابولة بس معمولة لها shift فرابولة يعني لو جيت
+
+210
+00:22:31,110 --> 00:22:35,090
+رسمت horizontal line هقطعها وين؟ في نقطتين بتبطل
+
+211
+00:22:35,090 --> 00:22:39,370
+تصبح one to one لكن لما أحطلي condition زي هذا x
+
+212
+00:22:39,370 --> 00:22:44,770
+أقل من أو يسوى واحد إذا إحنا أخدنا interval من كل
+
+213
+00:22:44,770 --> 00:22:49,600
+real lineعلى هذا ال interval بأقمن ان اي
+
+214
+00:22:49,600 --> 00:22:54,240
+horizontal line لا يمكن ان يقطع المنحنة الا في
+
+215
+00:22:54,240 --> 00:22:59,520
+نقطة واحدة وبالتالي المعكوس بيكون معله بيكون موجود
+
+216
+00:22:59,520 --> 00:23:05,560
+طيب الان بدي أبين ان المعكوس موجود انه جالي ال
+
+217
+00:23:05,560 --> 00:23:09,140
+show أبينلي ان هذه الدالة one to one قبل ما تبدأ
+
+218
+00:23:09,140 --> 00:23:11,560
+مش تروح اجيبلي معكوس او انت مش عارف ان هي one to
+
+219
+00:23:11,560 --> 00:23:17,790
+one ام لاإذاً بدأتي للخطوة الأولى فبدي بقوله ال F
+
+220
+00:23:17,790 --> 00:23:25,710
+prime of X يساوي اتنين X ناقص اتنينالـ domain تبقى
+
+221
+00:23:25,710 --> 00:23:31,350
+عدالة من عند الواحد و بتاخد ال verse للخلف لو حطيت
+
+222
+00:23:31,350 --> 00:23:36,070
+x بواحد بيكون النتج كده؟ zero طب ارجع جابل الواحد
+
+223
+00:23:36,070 --> 00:23:40,730
+لو حطيت x ب zero سالب اتنين لو حطيت x بسالب واحد
+
+224
+00:23:40,730 --> 00:23:46,450
+سالب اتنين سالب تلاتة يبقى كله بتاخد قيم سالبة ما
+
+225
+00:23:46,450 --> 00:23:52,010
+عدا عند الواحديعني معناه هذا الكلام ان هذا اقل من
+
+226
+00:23:52,010 --> 00:23:58,910
+او يساوي zero for all x اللي اكبر من او تساوي واحد
+
+227
+00:23:58,910 --> 00:24:05,570
+for all x اللي اقل من او يساوي واحد كلام صحيح
+
+228
+00:24:05,570 --> 00:24:10,250
+علموكوا في الثانوية انه لما انت اشتق بتسيب اول ال
+
+229
+00:24:10,250 --> 00:24:14,730
+interval و اخر ال interval مش هيك؟صح؟ لما تشقوا
+
+230
+00:24:14,730 --> 00:24:19,310
+بدك تجيب اللي هو الدلال عليك يبقى احنا لو شيلنا
+
+231
+00:24:19,310 --> 00:24:23,350
+اللي يساوي هذا وشيلنا اللي يساوي هذا بتضلها اقل من
+
+232
+00:24:23,350 --> 00:24:26,670
+ال zero على طول الخطوة بالثالث بيصير ايش؟
+
+233
+00:24:26,670 --> 00:24:32,510
+decreasing لو اضفت نقطة للفترة بتضلها decreasing
+
+234
+00:24:32,510 --> 00:24:37,890
+بتفرجش عندنا صحيح ولا لا؟ يبقى هذا بده يعطيلك ان
+
+235
+00:24:37,890 --> 00:24:40,730
+ال F is decreasing
+
+236
+00:24:43,140 --> 00:24:50,160
+ال F is decreasing يعني معناته ان ال F is one to
+
+237
+00:24:50,160 --> 00:24:54,400
+one اللي هو المطلوب الأول من المثلة مدام one to
+
+238
+00:24:54,400 --> 00:25:00,660
+one يبقى ال F inverse exists موجود هذا بدنا نبحث
+
+239
+00:25:00,660 --> 00:25:05,720
+عن هذا اللي هو ال F inverse يبقى هذا النقطة اللي
+
+240
+00:25:05,720 --> 00:25:11,590
+هو النقطة التانيةبدي اقول له put y تساوي x ثربيه
+
+241
+00:25:11,590 --> 00:25:18,930
+ماقص اتنين x المعادلة هذه بدي احلها بها تجيب x كده
+
+242
+00:25:18,930 --> 00:25:23,990
+اللي في main في y و ال condition عليها لا يزال
+
+243
+00:25:23,990 --> 00:25:30,370
+اللي هو ال x ماله اقل من او يساوي الواحد طيب بنحل
+
+244
+00:25:30,370 --> 00:25:37,050
+هذه حد بيعرف يقولي كيف نحل هذه ايوةنكمل المربع
+
+245
+00:25:37,050 --> 00:25:41,550
+ممتاز جدا يبقى لو أكملنا المربع بصير وسيلة عملية
+
+246
+00:25:41,550 --> 00:25:48,490
+سهلة للحصول على ال X as a function of Y بنقوله
+
+247
+00:25:48,490 --> 00:25:55,190
+بسيطة يبقى Y يساوي X تربية ناقص اتنين X نرجع تاني
+
+248
+00:25:55,190 --> 00:25:58,970
+لإكمال المربع علمناكوا يا في كل كلاصية بنشوف ضايل
+
+249
+00:25:58,970 --> 00:26:05,720
+في دماغك ولا غاباتممتاز جدا يبقى المعادلة عندى
+
+250
+00:26:05,720 --> 00:26:13,160
+مشان اعملها اكمل المربع بضيف و بطرح مربع معامل x
+
+251
+00:26:13,160 --> 00:26:17,880
+على اربع امثال معامل x تربيع اللى ناس يكتب عنده
+
+252
+00:26:17,880 --> 00:26:22,240
+سجل عندك اللى عارف عارف و خلاص يبقى بنضيف للمعادلة
+
+253
+00:26:22,240 --> 00:26:28,680
+و بنطرح مربع معامل x على اربع امثال معامل x تربيع
+
+254
+00:26:29,170 --> 00:26:36,510
+نشوف هذا على أرض الواقع مربع معامل x أربعة ومعامل
+
+255
+00:26:36,510 --> 00:26:41,510
+x سربيع واحد أربعة أمثاله أربعة أربعة على أربعة
+
+256
+00:26:41,510 --> 00:26:46,830
+يبقى بنضيف واحد ونطرح واحد يبقى باجي بقول هنا زائد
+
+257
+00:26:46,830 --> 00:26:52,450
+واحد ناقص واحد هل تغير وضع المعادلة بهذه الإضافة
+
+258
+00:26:52,450 --> 00:26:55,910
+وهذه الطريقة لأ يعني كان ضايف صفر يبقى احنا
+
+259
+00:26:55,910 --> 00:27:00,530
+ماعملناش جديد ولا حاجةلكن هذا إله فائدة كبرى، ما
+
+260
+00:27:00,530 --> 00:27:04,230
+هي الفائدة الكبرى؟ لو نجلت الواحد على الشجة
+
+261
+00:27:04,230 --> 00:27:10,050
+التانية بصير Y زائد واحد يسوى X ناقص واحد لكل
+
+262
+00:27:10,050 --> 00:27:15,900
+تاربيع، أيوة، هيك صارت القصة سهلةإذا بدنا نروح
+
+263
+00:27:15,900 --> 00:27:23,240
+ناخد الجذر التربيعي للطرفين، ممتاز جدا، ها لا يزال
+
+264
+00:27:23,240 --> 00:27:27,720
+عند ال X أقل من أو يساوي الواحد، ناخد الجذر
+
+265
+00:27:27,720 --> 00:27:32,340
+التربيعي للطرفين، يبقى بيصير عند الجذر التربيعي ل
+
+266
+00:27:32,340 --> 00:27:37,220
+Y زائد واحد يساوي، قداش الجذر التربيعي لهذا
+
+267
+00:27:37,220 --> 00:27:43,050
+المقدار؟ حد بيعرف؟بدي واحد يحكي مشان نتناقش مع
+
+268
+00:27:43,050 --> 00:27:46,550
+هالكلام هو صح ولا غلط، اه مين يا مين اعرف القداش
+
+269
+00:27:46,550 --> 00:27:48,090
+الجدر التربية لهذا المقدار
+
+270
+00:27:51,790 --> 00:27:55,830
+بنقول موجب وسالب اكس ناقص واحد وموجب وسالب اكس
+
+271
+00:27:55,830 --> 00:27:59,230
+ناقص واحد وموجب وسالب اكس ناقص واحد وموجب وسالب
+
+272
+00:27:59,230 --> 00:28:00,610
+اكس ناقص واحد وموجب وسالب اكس ناقص واحد وموجب
+
+273
+00:28:00,610 --> 00:28:04,150
+وسالب اكس ناقص واحد وموجب وسالب اكس ناقص واحد
+
+274
+00:28:04,150 --> 00:28:07,550
+وموجب وسالب اكس ناقص واحد وموجب وسالب اكس ناقص
+
+275
+00:28:07,550 --> 00:28:09,270
+واحد وموجب وسالب اكس ناقص واحد وموجب وسالب اكس
+
+276
+00:28:09,270 --> 00:28:15,970
+ناقص واحد وموجب وسالب اكس ناقص واحد وموجب وسالب
+
+277
+00:28:15,970 --> 00:28:22,380
+اكس ناقص واحد ووعندك هنا ما له؟ ال X أقل من أو
+
+278
+00:28:22,380 --> 00:28:28,140
+تساوي واحد، بالداجة عند الواحد وأقل منه، اللي بين
+
+279
+00:28:28,140 --> 00:28:31,220
+الشرط ال absolute value، قيمة موجة بوالله سالبة
+
+280
+00:28:31,830 --> 00:28:36,150
+سالبة مادام سالبة اذا بقدر اتخلص من ال absolute
+
+281
+00:28:36,150 --> 00:28:41,510
+value و احط قوس و قبله اشارة سالب يبقى هذا بدي
+
+282
+00:28:41,510 --> 00:28:46,950
+اعطيلك ان الجذر التربيعي ل Y زائد واحد يسوي سالب
+
+283
+00:28:46,950 --> 00:28:53,810
+ال X ناقص الواحد او ان شئتم فقولوا ان سالب الجذر
+
+284
+00:28:53,810 --> 00:28:59,630
+التربيعي ل Y زائد واحد يسوي X ناقص الواحد
+
+285
+00:29:15,700 --> 00:29:22,320
+هذا الشغل اللى اشتغلنا من هنا لغاية هنا كله لسه
+
+286
+00:29:22,320 --> 00:29:29,620
+الخطوة الاولىإن حاولت أحل المعادلة اللى عندي فوق و
+
+287
+00:29:29,620 --> 00:29:34,660
+أعمل X as a function of Y إذا هذا بختلف عن المثال
+
+288
+00:29:34,660 --> 00:29:37,300
+اللى جابله مثل اللى جابله automatic سهل ومشي معانا
+
+289
+00:29:37,300 --> 00:29:42,380
+دغري هذا أحتاج إلى شوية شغل رياضي يبقى أنت بدك
+
+290
+00:29:42,380 --> 00:29:47,640
+تحول المعادلة X بذلالة Y بأى طريقة رياضية تعلمتها
+
+291
+00:29:47,640 --> 00:29:53,490
+قبل هيك بأى وسيلة إن كانت بس تبقى الوسيلة صحيحةمش
+
+292
+00:29:53,490 --> 00:29:57,990
+تبقى تخبيص كويس يبقى ال X صارت بالشكل اللي عندنا
+
+293
+00:29:57,990 --> 00:30:05,430
+هذا الآن بنجي للخطوة الثانية وهي اني ابدل كل X بي
+
+294
+00:30:05,430 --> 00:30:12,840
+Y وكل Y ب X ولا تزال عندنا X أقل من أو تساوي 1اذا
+
+295
+00:30:12,840 --> 00:30:17,880
+بدي اعمل interchange يبقاش بصير عند هنا بصير عند Y
+
+296
+00:30:17,880 --> 00:30:25,200
+تساوي واحد نقص الجدرى التربيه ل X زائد واحد وهنا
+
+297
+00:30:25,200 --> 00:30:31,770
+اقول X اقل من او تساوي واحد غلطلما اتغيرتش واسبت
+
+298
+00:30:31,770 --> 00:30:36,530
+تاني؟ ماينفعش، كل X بدك تغيرها بY، انا عندي هنا X
+
+299
+00:30:36,530 --> 00:30:41,990
+اقل من ساوي واحد، يبقى بالدأجي اقوله و ال Y اقل من
+
+300
+00:30:41,990 --> 00:30:48,110
+او تساوي من اقل من او تساوي الواحدطيب استنى شوية
+
+301
+00:30:48,110 --> 00:30:52,670
+احنا دايما من اول حياتنا لما نقول ال Y ده اللي في
+
+302
+00:30:52,670 --> 00:30:56,850
+X بنقول ال X بتتغير من كذا لكذا لإن هي المتغير
+
+303
+00:30:56,850 --> 00:31:01,750
+اللي هو المستقل وال Y هي المتغير التابع مظبوط ولا
+
+304
+00:31:01,750 --> 00:31:06,630
+لا؟ يبقى باجي بقول اه انا بديش Y اقل من أو يسوى
+
+305
+00:31:06,630 --> 00:31:11,290
+واحد بدي X تكونمش عارف على ان هي فترة جد ما تطلع
+
+306
+00:31:11,290 --> 00:31:16,570
+تطلع، بقول بسيطة جدا، ما انت عندك أي Y بدلالة X،
+
+307
+00:31:16,570 --> 00:31:21,230
+يبقى بدي أشيل Y هذه و أحط قيمتها و أنحل ال
+
+308
+00:31:21,230 --> 00:31:24,570
+Equality اللي عندي وبالتالي بحدد X حتى تتغير من
+
+309
+00:31:24,570 --> 00:31:32,020
+ويلة و ويلةمظبوط طيب هذه لحالها بقدر اكتبها ايش
+
+310
+00:31:32,020 --> 00:31:36,940
+اللي هو الواحد ناقص الجدري التربية ل X زائد واحد
+
+311
+00:31:36,940 --> 00:31:44,150
+اقل من او يساوي الواحدأنا شيلت ال Y و حطيت قيمتها
+
+312
+00:31:44,150 --> 00:31:46,830
+اللي هو كل القيمة اللي عندنا عليها و بدها حل ال
+
+313
+00:31:46,830 --> 00:31:52,050
+inequality يعني يبقى لو جيبنا هذه هنا وهذه هنا
+
+314
+00:31:52,050 --> 00:32:00,030
+بصير المعادلة الجذر التربيعي ل X زائد واحد أكبر من
+
+315
+00:32:00,030 --> 00:32:05,360
+أو تساوي ال zero صحيح؟طيب احنا بدنا x بالربع
+
+316
+00:32:05,360 --> 00:32:10,780
+الطرفين اذا لو ربعنا الطرفين بصير ان مين ال x زائد
+
+317
+00:32:10,780 --> 00:32:16,600
+واحد اكبر من او تساوي zero او ال x اكبر من او
+
+318
+00:32:16,600 --> 00:32:24,540
+تساوي من سالب واحد بناء عليه صار ال F inverse of x
+
+319
+00:32:24,540 --> 00:32:30,760
+يسوى واحد ناقص ل square root لل x زائد واحد والx
+
+320
+00:32:30,760 --> 00:32:37,260
+greater than or equalتسالب one يعني لو جاك سؤال
+
+321
+00:32:37,260 --> 00:32:41,480
+هيك والله قابلت في التمرين سؤال بهذا الشكل مش
+
+322
+00:32:41,480 --> 00:32:45,480
+تشتغل ع الدالة و تسيب ال domain زي ما اشتغلت ع
+
+323
+00:32:45,480 --> 00:32:47,740
+الدالة بقى تشتغل على ال domain تبعها طبعا ال
+
+324
+00:32:47,740 --> 00:32:51,220
+domain تبعها كان من و لا واين من سالب infinity
+
+325
+00:32:51,220 --> 00:32:56,600
+لغاية الواحدولع ال domain تبع ال F inverse من عند
+
+326
+00:32:56,600 --> 00:33:01,800
+السلب واحد الى infinity اكبر من او يسوى من سلب
+
+327
+00:33:01,800 --> 00:33:08,880
+واحد وهذا نتيجة لقلب المنحنى عبر الخط Y تساوي X
+
+328
+00:33:08,880 --> 00:33:16,360
+طيب مختلفناش مختلفناش بنفع
+
+329
+00:33:16,360 --> 00:33:16,960
+ايش؟
+
+330
+00:33:21,210 --> 00:33:27,190
+هذا إذا بتقدر، وإذا ماقدرتش، بصير صعب، زميلكو بطرح
+
+331
+00:33:27,190 --> 00:33:32,650
+سؤال وجيه، بقول كويس، أنا عندي الدالة هذه، وعندي
+
+332
+00:33:32,650 --> 00:33:38,110
+هذه ال domain تبعها، إذا قدرت أحدد ال range تبع
+
+333
+00:33:38,110 --> 00:33:41,250
+الدالة F يبقى هو ال domain، إلا ال F inverse
+
+334
+00:33:41,250 --> 00:33:44,630
+مايقوله والله على الروح بيوسعها، كلامك مظبوط وفوق
+
+335
+00:33:44,630 --> 00:33:48,290
+رأسنا، وبالتالي بترتاح من مين؟من الشغلة اللى
+
+336
+00:33:48,290 --> 00:33:52,110
+اشتغلناها هذى، اذا قلت حدد ال domain تبع الدالة F
+
+337
+00:33:52,110 --> 00:33:58,450
+بيكون هو ال domain تبع مين؟ بيقولوله كلامك صحيح،
+
+338
+00:33:58,450 --> 00:34:06,310
+ميا او شو اسمك انت؟أبراهيم يبقى ابراهيم جابنا وجهة
+
+339
+00:34:06,310 --> 00:34:10,690
+نظر أخرى غير وجهة النظر اللي احنا قلنالكوا وكيلة
+
+340
+00:34:10,690 --> 00:34:14,490
+الوجهتين اللي هو الصحية وجهة النظر تبعتنا وجهة
+
+341
+00:34:14,490 --> 00:34:17,750
+النظر اللي قالها وإذا فينا وجهة نظر أخرى برضه
+
+342
+00:34:17,750 --> 00:34:27,150
+مستعدين نسمعها إذا فيها آية اتفضل ماشي
+
+343
+00:34:40,010 --> 00:34:45,590
+تاني تاني احكي تاني اه
+
+344
+00:34:45,590 --> 00:34:52,590
+بطلع صفر ولا لأ ولا بطلع سالب واحد مية المية تمام
+
+345
+00:34:54,080 --> 00:34:58,940
+يبقى ايش صارت؟ صارت دمعة، بس خليك معايا صارت كده؟
+
+346
+00:34:58,940 --> 00:35:03,020
+حبيت انت يكسب واحد، يبقى صارت النقوة واحد و سالب
+
+347
+00:35:03,020 --> 00:35:08,880
+واحد، تمام؟ ما بيقلبها، ماشي، هتشوف صح هنا ولا لا؟
+
+348
+00:35:10,390 --> 00:35:17,930
+مظبوط؟ خلاص اتفجنا احنا وياك مافي مشكلة حتى
+
+349
+00:35:17,930 --> 00:35:22,610
+لان يا شباب احنا جيبنا كيفية ايجاد معكوس الدالة
+
+350
+00:35:22,610 --> 00:35:26,790
+لكن العنوان اللي مكتوب عندك في بداية ال section ال
+
+351
+00:35:26,790 --> 00:35:32,370
+inverse functions and their derivatives يبقى بدنا
+
+352
+00:35:32,370 --> 00:35:39,570
+نروح نبحث عاميا عن مشتقة معكوس الدالةيبقى الآن
+
+353
+00:35:39,570 --> 00:35:44,650
+بدنا نتكلم عن ال derivative لمين لمعكوس الدالة
+
+354
+00:35:44,650 --> 00:35:49,810
+اللى عندنا هذه خلينا
+
+355
+00:35:49,810 --> 00:35:55,370
+نطرح السؤال التالي و نشوف كيفية الإجابة عليه الآن
+
+356
+00:35:55,370 --> 00:36:01,250
+عشان أجيب مشتقة معكوس الدالة ضروري أجيب المعكوس ثم
+
+357
+00:36:01,250 --> 00:36:02,410
+أروح أشتقه؟
+
+358
+00:36:04,940 --> 00:36:13,520
+ليس بالضرورة لكن هنجيب ايه مشتقة الدالة هتجيب
+
+359
+00:36:13,520 --> 00:36:19,300
+المعكوس مش بدنا فيه بصير احنا بدنا مشتقة معكوس
+
+360
+00:36:19,300 --> 00:36:27,340
+الدالة طبعا طيب هجربكوا الفكرة انا عندي دالة و
+
+361
+00:36:27,340 --> 00:36:31,940
+اثبت ان المعكوس تبعها exist هل بقدر اوجد شكل
+
+362
+00:36:31,940 --> 00:36:39,780
+المعكوسممكن نعم بنقدر و ممكن لا اعطيك مثال بسيط لو
+
+363
+00:36:39,780 --> 00:36:45,380
+جاتي اقول خدلي f of x يساوي دقيق معايا كويس x أص
+
+364
+00:36:45,380 --> 00:36:55,720
+11 زائد 2 x أص 7 زائد 3 x أص 5 زائد 4 x تكيب زائد
+
+365
+00:36:55,720 --> 00:37:02,050
+x ناقص 1كل الأسس فردية، بده أشوف ال universe exist
+
+366
+00:37:02,050 --> 00:37:07,010
+ولا لا، بروح أشتقها، بصير الأولى أس عشرة، والتانية
+
+367
+00:37:07,010 --> 00:37:12,810
+أس ستة، واللي بعدها أس أربعة، واللي بعدها أس
+
+368
+00:37:12,810 --> 00:37:18,220
+اتنين، واللي بعدها كونستانكله أكبر من ال zero صح
+
+369
+00:37:18,220 --> 00:37:22,100
+ولا لا؟ لإن الأسس كلها زوجية يبقى هذا المئة كلها
+
+370
+00:37:22,100 --> 00:37:24,260
+أكبر من ال zero يبقى ده اللي increasing يبقى ال
+
+371
+00:37:24,260 --> 00:37:29,540
+inverse exist حد فيكوا بيقدر يحل المعادلة هذه واني
+
+372
+00:37:29,540 --> 00:37:33,160
+زيكوا بقدرش مش انت بتقول لأ لأ واني زيكوا بقدرش
+
+373
+00:37:33,160 --> 00:37:38,110
+أحل المعادلة هذه هذه المعادلة في غاية التعقيدخارج
+
+374
+00:37:38,110 --> 00:37:41,530
+نطاق شغل ما نقدرش عليها يبقى احنا اثبتنا ان
+
+375
+00:37:41,530 --> 00:37:47,130
+المعكوس موجود لكن مش قادرين نوجد هذا المعكوس وهذا
+
+376
+00:37:47,130 --> 00:37:52,490
+من القصور في العقل البشري يعني العقل البشري قاصر
+
+377
+00:37:52,490 --> 00:37:56,420
+عن إدراك مكنونات الأشياء اللي بيحس فيهافي هذا
+
+378
+00:37:56,420 --> 00:38:00,520
+الكون او في هذه الحياة وهذا من قدرة الله تبارك
+
+379
+00:38:00,520 --> 00:38:05,260
+وتعالى زي ايش مثلا زي امبارح كان فيها شوية ريح صح
+
+380
+00:38:05,260 --> 00:38:07,760
+ولا لا؟ كان ريح جو امبارح مش اليوم ساكت الريح
+
+381
+00:38:07,760 --> 00:38:12,520
+امبارح كان ريح جوي بقينا نقدر نشوف ضغط الريح اللي
+
+382
+00:38:12,520 --> 00:38:17,180
+حاليا نحس فيه ونقيس اتجاه الريح وسرعة الريح صح ولا
+
+383
+00:38:17,180 --> 00:38:21,580
+لا؟ لكن حد فينا عمره شاف الريح؟لا، ولا واحد
+
+384
+00:38:21,580 --> 00:38:25,920
+بيشوفه، بنشوف أثره على الأشجار، نلاقي الأشجار
+
+385
+00:38:25,920 --> 00:38:30,340
+بتتميل، بنشوف هذا تأثيره عليه، لكن هل في واحد عمرك
+
+386
+00:38:30,340 --> 00:38:35,520
+وشاف شكل الهواء ولا طعم الهواء ولا كده؟ أبدا،
+
+387
+00:38:35,520 --> 00:38:40,360
+العقل البشري في عنده قصور، لو بريك الكهربا هذه، لو
+
+388
+00:38:40,360 --> 00:38:43,880
+جيبنا سلخ الكهربا، مشان تعرف هي كهربا، لازم تحط
+
+389
+00:38:43,880 --> 00:38:48,910
+أصبعك عليها أو تجيب تستر وتشوفه بضج ولا لايجي هذا
+
+390
+00:38:48,910 --> 00:38:52,950
+تأثير الكهربا على اللمضة تبع تستر نوط على أصبعك
+
+391
+00:38:52,950 --> 00:38:58,990
+بتلطعك ولا لا؟ اه وربما تروح فيها الله أعلم اه و
+
+392
+00:38:58,990 --> 00:39:03,450
+بنجرى الفاتحة بعد هيك كويس يبقى في مثل هذه الحالة
+
+393
+00:39:03,450 --> 00:39:08,230
+لحتى لو جشرنا او شيلنا للغطاء البلاستيكي اللي على
+
+394
+00:39:08,230 --> 00:39:12,030
+السلك بنقدر نعرف انه فيه كهربا من دون تستر ولا من
+
+395
+00:39:12,030 --> 00:39:15,890
+دون ما نلمسها بأصبعنا؟ نقدرشإذا العقل البشري
+
+396
+00:39:15,890 --> 00:39:22,190
+والنظر البشري والحس البشري عاصر عن إدراك المكنونات
+
+397
+00:39:22,190 --> 00:39:26,950
+الأشياء الموجودة في هذا الكون وهذا من إعجاز الله
+
+398
+00:39:26,950 --> 00:39:31,830
+للبشر حتى نؤمن بالله سبحانه وتعالى الذي لا نرعى،
+
+399
+00:39:31,830 --> 00:39:35,930
+تمام؟ إذا نرجع لموضوعنا، بدناش نتشعر كتير، بلاش
+
+400
+00:39:35,930 --> 00:39:38,930
+تقولوا لهذا محاضرة في أصول الدين، في العقيدة يعني،
+
+401
+00:39:38,930 --> 00:39:44,170
+مش هناكبنقولكوا ماشي، لكن هذه لها ارتباط بموضوعنا،
+
+402
+00:39:44,170 --> 00:39:48,830
+إذا إيش رأيكوا؟ أنا ماقدرش أجيب المعكوس تبع
+
+403
+00:39:48,830 --> 00:39:53,130
+الدلالة، لكن بقدر أجيب مستقبتها كيف؟ كالتالي، طبقا
+
+404
+00:39:53,130 --> 00:40:06,870
+للنظرية التالية اكتب معايا theorem if
+
+405
+00:40:06,870 --> 00:40:09,250
+domain
+
+406
+00:40:10,340 --> 00:40:19,980
+الدالة F is the interval I
+
+407
+00:40:19,980 --> 00:40:24,280
+exists
+
+408
+00:40:24,280 --> 00:40:34,000
+and ال F prime of X does not equal to zero على
+
+409
+00:40:34,000 --> 00:40:43,560
+الفترة I on the interval I thenالـ F inverse is
+
+410
+00:40:43,560 --> 00:40:54,200
+differentiable at every point at every point عند
+
+411
+00:40:54,200 --> 00:41:02,560
+كل نقطة in its domain عند كل نقطة في ال domain
+
+412
+00:41:02,560 --> 00:41:08,100
+تبعها the value of
+
+413
+00:41:10,260 --> 00:41:16,400
+الـ F inverse prime at
+
+414
+00:41:16,400 --> 00:41:30,840
+a point at a point B اللي هي بدها تساوي F of A in
+
+415
+00:41:30,840 --> 00:41:37,980
+the domain of F inverse
+
+416
+00:42:03,550 --> 00:42:18,650
+اللي بده يساوي F inverse of Bأي ان D F انفرستعلى
+
+417
+00:42:18,650 --> 00:42:29,130
+DX عندما ال X تساوي ال B لل F of A بده يساوي واحد
+
+418
+00:42:29,130 --> 00:42:39,830
+على DF على DX لما ال X بده يساوي A ل F inverse of
+
+419
+00:42:39,830 --> 00:42:43,670
+B نرجع
+
+420
+00:42:43,670 --> 00:42:49,530
+لكلام اللي احنا كتبينه هذا نقرأكل كلامنا ككاتب ينه
+
+421
+00:42:49,530 --> 00:42:55,290
+نشرحه بتفصيل مشان نفهم كل نقطة في نص النظرية بقول
+
+422
+00:42:55,290 --> 00:43:00,610
+لو كان dominant دالة F هو الفترة اللي عندنا Iوكان
+
+423
+00:43:00,610 --> 00:43:05,250
+مشتقة الدالة exist يبقى الدالة قابلة للاشتقاء
+
+424
+00:43:05,250 --> 00:43:10,070
+اتنين المشتقة لا يمكن ان تساوي zero does not equal
+
+425
+00:43:10,070 --> 00:43:15,030
+to zero ليش هذا ما سنعرفه بعد قليل يعني ليش حطل ال
+
+426
+00:43:15,030 --> 00:43:20,150
+condition ان ال f prime of x لا تساوي zeroبقول هذا
+
+427
+00:43:20,150 --> 00:43:25,530
+الكلام على الفترة I يبقى في هذه الحالة بكون معكوسة
+
+428
+00:43:25,530 --> 00:43:30,650
+دالة هي دالة قابلة لمين للاشتراك الف انفرس is
+
+429
+00:43:30,650 --> 00:43:36,330
+differentiable عن كل نقطة في دومينهاالان قيمة
+
+430
+00:43:36,330 --> 00:43:39,570
+مشتقة معكوثة ده اللى احنا بنقول ال F
+
+431
+00:43:39,570 --> 00:43:43,710
+differentiable يعني قابلة للاشتقاء إذا مشتقة
+
+432
+00:43:43,710 --> 00:43:49,590
+معكوثة ده اللى عندنا نقطة B اللى أصلها هو A في
+
+433
+00:43:49,590 --> 00:43:54,850
+domain of the left عند B يعني B في domainالـ F
+
+434
+00:43:54,850 --> 00:43:59,290
+inverse والـ A في دومين الـ F يبقى عند النقطة B
+
+435
+00:43:59,290 --> 00:44:03,230
+لتساوي F of A in the domain of F inverse is the
+
+436
+00:44:03,230 --> 00:44:07,930
+reciprocal يعني شبه مقلوب مقلوب يعني كان في ال bus
+
+437
+00:44:07,930 --> 00:44:13,250
+بنزله في المقام يعني A بصير واحد على A عشرة بصير
+
+438
+00:44:13,250 --> 00:44:17,090
+واحد على عشرة هي مقلوبة is the reciprocal مقلوب
+
+439
+00:44:17,090 --> 00:44:25,490
+the value of F primeهو مقلوب مشتقة الدالة F عند
+
+440
+00:44:25,490 --> 00:44:31,690
+النقطة A التي هي F inverse of B التلت أسطر و نص
+
+441
+00:44:31,690 --> 00:44:38,240
+هذول بناروح نصيغهم في سطر واحد فقط لغيرفروح نقولنا
+
+442
+00:44:38,240 --> 00:44:42,080
+that is I amنا يعني التلات تاس و نص بدنا نصيحهم
+
+443
+00:44:42,080 --> 00:44:47,460
+بالصيغة رياضية عملية نشتغل بها في حال المثال ديقول
+
+444
+00:44:47,460 --> 00:44:54,740
+يبقى مشتقة معكوس الدلة D F inverse على DX وين عند
+
+445
+00:44:54,740 --> 00:45:00,680
+X تساوي B اللي موجودة في دمية الميندمن ال F انفرز
+
+446
+00:45:00,680 --> 00:45:04,680
+ال A هي اللي في دمن ال F بدل ما يساوي F of A يساوي
+
+447
+00:45:04,680 --> 00:45:10,600
+من ريس براكل يبقى مقلوب قلنا واحد على مشتقة الدلة
+
+448
+00:45:10,600 --> 00:45:16,080
+F وين عند النقطة A اللي موجودة في دمن الدلة F وال
+
+449
+00:45:16,080 --> 00:45:21,850
+A هي F inverse of Bيبقى إذا بدى أجيب مشتقة معكوس
+
+450
+00:45:21,850 --> 00:45:26,650
+الدالة عند نقطة بدى أشوف النقطة المكافئة لها أو
+
+451
+00:45:26,650 --> 00:45:32,930
+صورتها وين في domain الدالة F وبالتالي بقول واحد
+
+452
+00:45:32,930 --> 00:45:39,430
+على مشتقة الدالة F عند هذه النقطة لحظة النقطة هذه
+
+453
+00:45:39,430 --> 00:45:45,840
+هي اللي موجودة في domain الدالةأف مظبوط والإيه هي
+
+454
+00:45:45,840 --> 00:45:51,520
+صورة معكوس الدالة عند بيه في inverse of بيهامين
+
+455
+00:45:51,520 --> 00:45:58,580
+وهذا الكلام التعريف اللي قلناه يوم أمس الأول طيب
+
+456
+00:45:58,580 --> 00:46:04,680
+يبقى هذا كيفية الحصول على مشتقة معكوس الدالة دون
+
+457
+00:46:04,680 --> 00:46:09,660
+الحصول على شكل المعكوس هل يتطلب الأمر أعرف شكل
+
+458
+00:46:09,660 --> 00:46:13,030
+المعكوس؟إذا المثال اللي توسع قلنا احنا وياكوا
+
+459
+00:46:13,030 --> 00:46:16,410
+الشفوي هذا الـ Apoxys 11 المعادة الـ polynomial
+
+460
+00:46:16,410 --> 00:46:20,490
+الطويلة هذه أثبتنا إن الـ F inverse exist لكن مش
+
+461
+00:46:20,490 --> 00:46:25,150
+قادرين نجيبه لكن بقدر أجيب مشتقة معكوسة درلة
+
+462
+00:46:25,150 --> 00:46:30,850
+بواسطة مين؟ بواسطة هذه النظرية عند أي نقطة موجودة
+
+463
+00:46:30,850 --> 00:46:38,440
+في domain الـ F inverseالان لم يبقى في هذا section
+
+464
+00:46:38,440 --> 00:46:44,620
+إلا مجموعة من الأمثلة نتعرض للمحاضرة القادمة ان
+
+465
+00:46:44,620 --> 00:46:45,680
+شاء الله تعالى
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lBlN9QQyqog_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lBlN9QQyqog_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..197402189612d06c975cc1f1ae7792b93c5f9190
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lBlN9QQyqog_raw.srt
@@ -0,0 +1,1944 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:12,130 --> 00:00:16,790
+المرة اللى فاتت ابتدأنا في معكوث الدوال المثلثية
+
+3
+00:00:16,790 --> 00:00:22,710
+وقاطعناه شوطا كبيرا حتى قاربنا على نهايتها فكان
+
+4
+00:00:22,710 --> 00:00:27,350
+بدأنا بعملية الاشتقاط للأمثلة المجتملة على معكوث
+
+5
+00:00:27,350 --> 00:00:33,170
+الدوال المثلثية وعطينا على ذلك أربعة أمثلة وهذا هو
+
+6
+00:00:33,170 --> 00:00:35,150
+المثال رقم خمسة
+
+7
+00:00:41,290 --> 00:00:45,950
+بالنسبة للدلة اللي عندنا هذه واضح أن الأساس متغير
+
+8
+00:00:45,950 --> 00:00:51,490
+والأس متغير، إذا قدامي الطريقين، الطريق الأول أن
+
+9
+00:00:51,490 --> 00:00:55,390
+أخذ الليمن اللي أقرا فيهم ثم الاشتقارأو اكتبها
+
+10
+00:00:55,390 --> 00:01:00,810
+مباشرة على شكل exponential و بعدها نشتق إذا لو
+
+11
+00:01:00,810 --> 00:01:06,630
+كتبت على شكل exponential بقول هذه عبارة عن E أس
+
+12
+00:01:06,630 --> 00:01:13,030
+سيك انفرس X في مية فلن X كتبناها على شكل
+
+13
+00:01:13,030 --> 00:01:16,850
+exponential وهذه عملناها كثير قبل ذلك مش هاي أول
+
+14
+00:01:16,850 --> 00:01:24,830
+مرة بدنا نشتق يبقى Y' يساويالـ X بننشل زي ما هي في
+
+15
+00:01:24,830 --> 00:01:31,310
+لن الـ X في مشتقة مين؟ مشتقة الأس الأس حاصل ضرب
+
+16
+00:01:31,310 --> 00:01:36,730
+دالتين يبقى الدالة الأولى Sec inverse X في مشتقة
+
+17
+00:01:36,730 --> 00:01:42,890
+الدالة الثانية اللي هي مين؟ واحد على X زائد الدالة
+
+18
+00:01:42,890 --> 00:01:47,290
+الثانية اللي هي لن الـ X في مشتقة الـ Sec inverse
+
+19
+00:01:47,290 --> 00:01:52,960
+اللي هو جداش؟ واحدعلى absolute value ل X الجدري
+
+20
+00:01:52,960 --> 00:01:58,810
+التربية إلى X تربية مع قياس واحدهذا الكلام بده
+
+21
+00:01:58,810 --> 00:02:04,310
+يساوي هذي بده رجعها لأصلها يبقى أصلها x أُسك
+
+22
+00:02:04,310 --> 00:02:13,290
+inverse x فمين في سك inverse x على x زائد لن ال x
+
+23
+00:02:13,290 --> 00:02:18,210
+على absolute value ل x الجدرى التربية ل x تربية
+
+24
+00:02:18,210 --> 00:02:25,300
+ناقص واحدمثال رقم ستة يبقى المثال رقم ستة بدنا
+
+25
+00:02:25,300 --> 00:02:29,680
+مشتق ال sign inverse لإن ال Y اللي بدأ تسوي ال
+
+26
+00:02:29,680 --> 00:02:36,680
+cosecant inverse E أس XY واضح ان هذه دالة ضمنية
+
+27
+00:02:36,680 --> 00:02:41,160
+لإن هذا مش قادر أخسر ال Y في شجة و باقى ال X في
+
+28
+00:02:41,160 --> 00:02:46,180
+شجة تانية يبقى بدأ اشتق اشتقاقا ضمنيا وهو ان اشتق
+
+29
+00:02:46,570 --> 00:02:52,190
+كل دالة في مكانها مع مراعاة قواعد الاشتقاق اللي
+
+30
+00:02:52,190 --> 00:02:56,710
+درست فيك الكلاص ايه؟ بنجي للـSin inverse مشتقة
+
+31
+00:02:56,710 --> 00:03:01,990
+الـSin inverse واحد على الجدر التربيه لواحد ناقص
+
+32
+00:03:01,990 --> 00:03:08,210
+لن الواي الكل تربيع في مشتقة لن الواي، حد فيكوا
+
+33
+00:03:08,210 --> 00:03:13,780
+بيعرف يقولوا جديش مشتقة لن الواي؟لا بدناش بدناش
+
+34
+00:03:13,780 --> 00:03:17,020
+هذه الموسيقى اللي هي كده اللي فيها مهيرية تعرف
+
+35
+00:03:17,020 --> 00:03:21,900
+after فعيدك فوق نعرف أن أنت أجرت صح ولا غلط وإن مش
+
+36
+00:03:21,900 --> 00:03:25,120
+فاهم بصير ايه الفهم وإن مش عارف بصير اعرف اتفضل يا
+
+37
+00:03:25,120 --> 00:03:32,620
+ابنياكويس يبقى مشتقة لإن ال Y واحد على Y في ال Y
+
+38
+00:03:32,620 --> 00:03:37,780
+prime ليش؟ لإن Y أصلا هي ذالة في X و احنا بنشتق
+
+39
+00:03:37,780 --> 00:03:42,620
+بالنسبة لما ينبغى بالنسبة ل X يسوي نجي كوسيكنت
+
+40
+00:03:42,620 --> 00:03:49,410
+انفرز كوسيكنت انفرز اشتقاقها بإشارةسالب يبقى سالب
+
+41
+00:03:49,410 --> 00:03:55,470
+واحد على absolute value لل Exy ال X-Penential
+
+42
+00:03:55,470 --> 00:03:59,530
+دائما وابدا موجب يبقى حطيت ال absolute value و لا
+
+43
+00:03:59,530 --> 00:04:06,350
+محطيتها سنين بتفريقش انا يبقى هنا E أس XY في الجزر
+
+44
+00:04:06,350 --> 00:04:13,590
+التربية إلى E أس XY لكل تربيةماقص واحد في مشتقة
+
+45
+00:04:13,590 --> 00:04:19,050
+الزاوية مشتقة الـ exponential بالـ exponential كما
+
+46
+00:04:19,050 --> 00:04:26,450
+هي ضرب مشتقة الأس والأس حاصل ضرب دلتين يبقى الدلة
+
+47
+00:04:26,450 --> 00:04:31,570
+الأولى في مشتقة التانية زي الدانية في مشتقة الأولى
+
+48
+00:04:31,570 --> 00:04:38,050
+ليه مجداش؟ واحد صحيحواضح في اختصار ال exponential
+
+49
+00:04:38,050 --> 00:04:43,650
+مع ال exponential يبقى أصبحت المسألة اللي هي واحد
+
+50
+00:04:43,650 --> 00:04:49,790
+على وعي الجدر التربية إلى لن الوعي الكل تربيةفي
+
+51
+00:04:49,790 --> 00:04:59,230
+الـ y' بدي ساوي ناقص x y' ناقص y على الجدر
+
+52
+00:04:59,230 --> 00:05:07,340
+التربيهي ل E أس 2xy ناقص 1على اي حال اشتق منها
+
+53
+00:05:07,340 --> 00:05:11,860
+اشتقاتا سليم مضال شغل روتيني اني بدي اطلع Y prime
+
+54
+00:05:11,860 --> 00:05:15,740
+من هنا Y prime واخدهم مع بعض واخد عمل مشارك وانجلد
+
+55
+00:05:15,740 --> 00:05:19,220
+على الشجرة التانية واجسم هذا كله شغل روتيني انا
+
+56
+00:05:19,220 --> 00:05:23,860
+بهمن الاشتقاء قل صحيح ولا لا يبقى اشتقالي من أولها
+
+57
+00:05:23,860 --> 00:05:26,840
+لآخرها صحيح وإذا في اختصار اختصر وبعد ذلك روح
+
+58
+00:05:26,840 --> 00:05:31,740
+وخليها ياخد ال full mark لإن انا بدي اتشق تعرف
+
+59
+00:05:31,740 --> 00:05:35,910
+تشتقوالله بتعرف تبقى الأددية، مالهم الأددية احنا؟
+
+60
+00:05:35,910 --> 00:05:42,150
+طيب، خدلي المثال الأخير أو المجموعة الأمثلة
+
+61
+00:05:42,150 --> 00:05:47,850
+الأخيرة على هذا ال section وهي example تلاتة
+
+62
+00:05:47,850 --> 00:05:57,690
+evaluate the following integrals
+
+63
+00:06:00,700 --> 00:06:06,260
+بنعمل مجموعة التكاملات التالية تكامل الأول تكامل
+
+64
+00:06:06,260 --> 00:06:11,760
+الذي x على تسعة زائد تلاتة x تقرير
+
+65
+00:06:15,860 --> 00:06:20,720
+لو أطلعت لدبالة لإنها دي، وجود التلاتة هذه عملتلي
+
+66
+00:06:20,720 --> 00:06:25,040
+مشكلة، لو التلاتة هذه مش موجودة، لكان ماعناش
+
+67
+00:06:25,040 --> 00:06:29,120
+مشكلة، صحيح انا لأ، كان جولنا ten inverse اكسعة
+
+68
+00:06:29,120 --> 00:06:33,060
+تلاتة و جولنا جربنا جبلها في طوللكن التلاتة هذه
+
+69
+00:06:33,060 --> 00:06:40,260
+إذا ممكن أخد تلاتة عامل مشترك برا وتساوي تلت تكامل
+
+70
+00:06:40,260 --> 00:06:48,670
+لدي X على تلاتة زائد X تربيةنرجع بالذاكرة إلى
+
+71
+00:06:48,670 --> 00:06:55,030
+الجزء النوري، قلنا تكامل 1 على A تربية زائد X
+
+72
+00:06:55,030 --> 00:07:00,570
+تربية يساوي 10 inverse X على A وده اللي بنضرب في
+
+73
+00:07:00,570 --> 00:07:04,930
+الكونوستانت واحد عليا زائد كونوستانت C سؤالي هو
+
+74
+00:07:04,930 --> 00:07:09,830
+جداش الـA اسمع
+
+75
+00:07:09,830 --> 00:07:10,430
+يا عزيزي يا ابني
+
+76
+00:07:19,170 --> 00:07:27,270
+مش كاتبينه هنا؟ لبسيطة، اه معاك حق، هذا Y الجدر
+
+77
+00:07:27,270 --> 00:07:34,870
+التربية لواحد ناقص لل Y لكل تربية، كلامه صحيح طيب
+
+78
+00:07:34,870 --> 00:07:41,870
+سؤال هو قداش مقدار الـA هنا؟ تلاتة
+
+79
+00:07:43,410 --> 00:07:46,970
+الجذر التلاتة اللي نادر يعتبر ايه؟ تربية كان
+
+80
+00:07:46,970 --> 00:07:51,050
+التكامل في جزء النظر أن تكامل واحد عليا تربية زاد
+
+81
+00:07:51,050 --> 00:07:53,870
+اكس، تربية اللي يساوي واحد عليا فتان انفر سكس عليا
+
+82
+00:07:53,870 --> 00:07:59,210
+زاد كم أسبنت سي، إذا هذا هو ايه تربية يبقى؟ ايه هو
+
+83
+00:07:59,210 --> 00:08:04,110
+الجذر التلاتة؟يبقى لو روحت كاملت الدالة لأن هذه
+
+84
+00:08:04,110 --> 00:08:10,030
+بدأت تساوي تلت هيه برا مالهش دعوة وهي واحد على جدر
+
+85
+00:08:10,030 --> 00:08:16,950
+تلاتة تان inverse ل X على جدر تلاتة زائد constant
+
+86
+00:08:16,950 --> 00:08:27,180
+C تكملي التانيبنتكمل لسكتر بيها X integration ل 6
+
+87
+00:08:27,180 --> 00:08:36,480
+square X على ال square root لل 4 ماقص 10 square X
+
+88
+00:08:36,480 --> 00:08:44,280
+كله DX يبقى بعدي بطلع في المثل تبعتي هذي و بطلع
+
+89
+00:08:44,280 --> 00:08:49,840
+تان هو جداش مش تبت التانسك تربيع يعني هذه الراة
+
+90
+00:08:49,840 --> 00:08:54,180
+ممكن اتخلص منها لو شيلت التان و حطيت مكانها اي
+
+91
+00:08:54,180 --> 00:09:02,360
+متغير اذا لو حطيتي ال W يساوي تان ال X يبقى دي W
+
+92
+00:09:02,360 --> 00:09:08,270
+بده يساوي سك تربيع ال X دي X اللي مشتقتهاإذا كل
+
+93
+00:09:08,270 --> 00:09:11,550
+اللي في البسطة إن هذا بقدر أشيله و أكتب بدله،
+
+94
+00:09:11,550 --> 00:09:19,170
+كدواش؟ دي W، يبقى هذا integration لـDW على الجدرى
+
+95
+00:09:19,170 --> 00:09:25,990
+التربية لأربع ناقص W تربية. إيش تكامل هذه من المرة
+
+96
+00:09:25,990 --> 00:09:28,690
+الماضية؟ كدواش؟
+
+97
+00:09:30,160 --> 00:09:37,500
+أول واحدة sign inverse يبقى هذه ال sign inverse W
+
+98
+00:09:37,500 --> 00:09:43,540
+على 2 زائد كل الصنسيه لأن هذه ايه تربيعه؟ بتالي
+
+99
+00:09:43,540 --> 00:09:51,960
+ايه؟ باتنين ايوة اسمها ايه يا عزيزي؟ اه لو كانت
+
+100
+00:09:51,960 --> 00:09:55,580
+ايش؟ سالب ما هي سالب؟
+
+101
+00:09:59,500 --> 00:10:02,440
+هذه يعني؟ الـ DW يعني الـ DW الـ DW الـ DW الـ DW
+
+102
+00:10:02,440 --> 00:10:04,240
+الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW
+
+103
+00:10:04,240 --> 00:10:08,780
+الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW
+
+104
+00:10:08,780 --> 00:10:11,060
+الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW
+
+105
+00:10:11,060 --> 00:10:11,640
+الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW
+
+106
+00:10:11,640 --> 00:10:11,800
+الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW
+
+107
+00:10:11,800 --> 00:10:17,880
+الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ
+
+108
+00:10:17,880 --> 00:10:17,880
+DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ
+
+109
+00:10:17,880 --> 00:10:17,880
+DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ
+
+110
+00:10:17,880 --> 00:10:17,880
+DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ DW الـ
+
+111
+00:10:17,880 --> 00:10:25,600
+DW الـ DW الـ DW الـ DW الـ DW التان مُعرّفة من
+
+112
+00:10:25,600 --> 00:10:30,000
+مالة نهاية لسلب مالة نهاية، صحيح ولا لا؟ وبالتالي
+
+113
+00:10:30,000 --> 00:10:36,140
+سبب الإشكالية كبيرة جدا، أنا بدي أسألك لو كان W
+
+114
+00:10:36,140 --> 00:10:37,780
+تربية نقص أربعة
+
+115
+00:10:40,920 --> 00:10:45,020
+لأ حتى لما نبتعرفوش بعمله تربية بقى قصر أربعة
+
+116
+00:10:45,020 --> 00:10:48,740
+سيكشن القادم وعلى الخير ان شاء الله لح نبدأ أخر
+
+117
+00:10:48,740 --> 00:10:54,440
+محاضرة اليوم اه بمرحبتك فيه مش هنخليك كده بدونه
+
+118
+00:10:54,440 --> 00:10:59,860
+طيب على اي حال بده اشيل ال W و احط مكان اليمين تان
+
+119
+00:10:59,860 --> 00:11:06,390
+ال X يبقى قادي ال sign inverse لمين؟Sin inverse
+
+120
+00:11:06,390 --> 00:11:15,430
+لتان ال X على اتنين زائد constant C تكمل التالت
+
+121
+00:11:15,430 --> 00:11:23,350
+التكمل التالت اللي هو integration لل X تكييب زائد
+
+122
+00:11:23,350 --> 00:11:28,930
+تلاتة X على X أُس أربعة زائد تسعة في DX
+
+123
+00:11:32,260 --> 00:11:37,460
+نسمع مقترحات منكم، كيف بينا نكامل هذه الدالة X
+
+124
+00:11:37,460 --> 00:11:43,040
+تكامل في ال bus زي التلاتة X على X أربعة زي التسعة
+
+125
+00:11:43,040 --> 00:11:47,760
+ماذا تقترحون؟
+
+126
+00:11:47,760 --> 00:11:54,720
+يلا نشوف اي واحد رفع عيده اتنين
+
+127
+00:11:54,720 --> 00:11:56,780
+اقترح دول
+
+128
+00:12:05,690 --> 00:12:14,050
+تاني تاني عيدي الكلام اللي بتحكيه تاني؟ طيب
+
+129
+00:12:14,050 --> 00:12:23,450
+ماشي، تربية تربية، ماشي و بعدين؟ بتطلع
+
+130
+00:12:23,450 --> 00:12:30,510
+هو ياه؟ قوله و غيرطيب على هذا الحال أيوة ناخد X
+
+131
+00:12:30,510 --> 00:12:36,650
+فوق المشترات ناخد
+
+132
+00:12:36,650 --> 00:12:41,810
+X تربيه زي التلاتة كل تربيه X تربيه زي التلاتة كل
+
+133
+00:12:41,810 --> 00:12:42,270
+تربيه
+
+134
+00:12:50,050 --> 00:12:54,610
+مش ولا اقتراح تاني بالمرة هيك؟ يالا يا أولاد
+
+135
+00:12:54,610 --> 00:12:57,470
+الهندسة يا technology المعلومات، يا علوم، يا
+
+136
+00:12:57,470 --> 00:13:01,510
+تربية، و لا اي احد يقترح علينا اقتراحه كبسيط؟ اه
+
+137
+00:13:01,510 --> 00:13:08,030
+يعني
+
+138
+00:13:08,030 --> 00:13:12,670
+قلت اكمل بصحى، اكمل المقاهة، اقتراح تاني، مين يعرف
+
+139
+00:13:12,670 --> 00:13:13,270
+انا جديد؟
+
+140
+00:13:16,400 --> 00:13:20,180
+طيب، إمتاز جدا، اسمع يا مزيد من الناس. واحد بيقول
+
+141
+00:13:20,180 --> 00:13:24,420
+نقترح قسمة مطولة، بنقوله والله كلامك فكرتك كويسة،
+
+142
+00:13:24,420 --> 00:13:29,540
+لكن تعالى نشوف. القسمة المطولة نلجأ إلى إذا كان
+
+143
+00:13:29,540 --> 00:13:33,780
+درجة البصر في درجة المقام أو درجة البصر أكبر من
+
+144
+00:13:33,780 --> 00:13:41,240
+درجة المقام.افتراح جديد، ايوة.بتحل
+
+145
+00:13:41,240 --> 00:13:42,520
+المجيسين اللي بتاعك؟
+
+146
+00:13:45,240 --> 00:13:52,060
+هو اسمها ابنها انت وياه؟ كلام
+
+147
+00:13:52,060 --> 00:13:57,590
+هذا اللي كلامه صحيح شو اسمك انت ابنها؟محمد حمودة
+
+148
+00:13:57,590 --> 00:14:03,570
+محمد حمودة بيقترح ما يأتي نوزع البصة على المقام
+
+149
+00:14:03,570 --> 00:14:09,130
+يعني نعمل الكسر هذا كسرين بدلا من كسر واحد أجابته
+
+150
+00:14:09,130 --> 00:14:14,670
+صح يعني محمد تنبأ بالإجابة او اهتد اليها فكلامه
+
+151
+00:14:14,670 --> 00:14:20,450
+صحيح يبقى هذا الكلام يساوي تكامل خلّي بلا كدا،
+
+152
+00:14:20,450 --> 00:14:28,280
+خلّي بلا كدا بقوليبقى ال X تكييب على X أُس 4 زائد
+
+153
+00:14:28,280 --> 00:14:39,300
+9 DX وهنا زائد تكامل ل3X على X أُس 4 زائد 9 كله في
+
+154
+00:14:39,300 --> 00:14:45,260
+DXكلامه صحيح طب شوف ماذا استفدنا من ذلك طلعني لهذا
+
+155
+00:14:45,260 --> 00:14:50,260
+طبعا يبقى بدنا نضرب في أربعة و نقسم على أربعة يبقى
+
+156
+00:14:50,260 --> 00:14:57,680
+هذا الكلام بدي يصير يساوي هي الأربعة X تكييب على
+
+157
+00:14:57,680 --> 00:15:03,360
+مين على X أُس 4 زائد 9 و برا ضربنا في جد و جد في
+
+158
+00:15:03,360 --> 00:15:11,510
+ربع DX زائدوهذا يا تلاتة خليك برا وهذا ال X دي X
+
+159
+00:15:11,510 --> 00:15:16,670
+وال X الصاربعة بقدر أقول عليها X تربية تربية زائد
+
+160
+00:15:16,670 --> 00:15:25,860
+تسعةطبعا يبقى الرابع تكامل 4x تكييب على x أص 4
+
+161
+00:15:25,860 --> 00:15:33,280
+زائد 9 dx زائد طلعلي في هذا المقدار ممكن أشيل ال x
+
+162
+00:15:33,280 --> 00:15:39,200
+ثربيا و أحط بدلها متغير وبالتالي قد نصل إلى tan
+
+163
+00:15:39,200 --> 00:15:45,350
+inverse والله أعلماذا احنا لو احنا حطينا T تساوي X
+
+164
+00:15:45,350 --> 00:15:53,670
+تربية يبقى ال DT بتنين X DX او مص DT بده يساوي ال
+
+165
+00:15:53,670 --> 00:16:03,690
+X في DX اذا هذه تلاتة و النص برا وهي تكامل وهي DT
+
+166
+00:16:03,690 --> 00:16:11,490
+على T تربية زي التسعةطبعا يبقى هذا الرابع البسطى
+
+167
+00:16:11,490 --> 00:16:17,510
+فاضل المقام يبقى لين absolute value للمقام لكن لما
+
+168
+00:16:17,510 --> 00:16:23,890
+كان المقام موجب دائما وابدا عمره ماخد قيمة سالبة
+
+169
+00:16:23,890 --> 00:16:29,530
+او صفر يبقى موجب حققت ال absolute والله شيلت معنا
+
+170
+00:16:29,530 --> 00:16:37,310
+مشكلة يبقى x أص 4 زائد 9 زائد 3 على 2 مالهاش دعوة
+
+171
+00:16:37,480 --> 00:16:46,600
+وهذه تلت يبقى
+
+172
+00:16:46,600 --> 00:16:56,190
+تلت تان انفرس التي على تلاتة زائد كونستانسييبقى
+
+173
+00:16:56,190 --> 00:17:04,790
+رابع لين اكسوس اربعة زائد تسعة زائد نص تان inverse
+
+174
+00:17:04,790 --> 00:17:11,910
+بدنا نشيل ال T ونحط قمة اليمن X ربيع على تلاتة
+
+175
+00:17:11,910 --> 00:17:14,450
+زائد constant C
+
+176
+00:17:17,200 --> 00:17:24,260
+طيب هذا كان هو التكامل رقم 3 نجي لتكامل رقم 4 بدنا
+
+177
+00:17:24,260 --> 00:17:33,420
+تكامل لل X تربية زي 2 X ناقص 1 على X تربية زي 9
+
+178
+00:17:33,420 --> 00:17:35,280
+كذلك DX
+
+179
+00:17:37,710 --> 00:17:42,530
+المقام كان في السؤال اللي قبله X أربعة زائد تسعة
+
+180
+00:17:42,530 --> 00:17:49,710
+هذا يخلنا X تربيع زائد تسعة. يلا نشوف شو بتقترحه.
+
+181
+00:17:51,830 --> 00:17:57,770
+وقد اقترحها أحدكمفي السؤال اللي جاب الاقتراح بينفع
+
+182
+00:17:57,770 --> 00:18:05,910
+لمن؟ جسمها مطولة يبقى نظرا لإن ال bus بتحللش ودرجة
+
+183
+00:18:05,910 --> 00:18:10,290
+ال bus جاءت درجة المقام بنروح نجسم جسمها مطولة
+
+184
+00:18:10,290 --> 00:18:18,470
+يبقى باجي بقول X تربية زائد 2 X ناقص 1 على X تربية
+
+185
+00:18:18,470 --> 00:18:23,860
+زائد 9بنقسم X المرفوعة لأكبر أُس هنا على X
+
+186
+00:18:23,860 --> 00:18:28,120
+المرفوعة لأكبر أُس هنا والباقي بالحاجة وبصير من
+
+187
+00:18:28,120 --> 00:18:33,540
+التوابع يبقى X تربية على X تربية فيها كم؟ واحد X
+
+188
+00:18:33,540 --> 00:18:39,720
+تربية واحد في تسعة بتسعة زاد يصير ناقص وناقص
+
+189
+00:18:39,720 --> 00:18:46,100
+وبنروح نجمع بيبقى لعندي اتنين X ناقص تسعة وناقص
+
+190
+00:18:46,100 --> 00:18:52,840
+واحد هو ناقص عشرةالباقي من الدرجة والمقسم عليه من
+
+191
+00:18:52,840 --> 00:18:57,280
+الدرجة الثاني يبقى خلاص توقف الله يعطيك العافية
+
+192
+00:18:57,280 --> 00:19:02,040
+يبقى هذه بتقول المسألة إلى تكامل خارج القسم اللي
+
+193
+00:19:02,040 --> 00:19:07,840
+هو واحد صحيح زائد الباقي اللي هو اتنين X ناقص عشرة
+
+194
+00:19:07,840 --> 00:19:14,280
+لسه بدنا نجسمها على X تربية زائد تسعة كله في DX
+
+195
+00:19:17,500 --> 00:19:23,540
+ممكن هذه صارت المثلة زي السؤال اللي جابلها وزعنا
+
+196
+00:19:23,540 --> 00:19:29,100
+يبقى هنا بنقدر نوزع كذلك يبقى بصير تكامل الواحد DX
+
+197
+00:19:29,100 --> 00:19:35,780
+زي تكامل اتنين X على X تربية زي التسعة DX ناقص
+
+198
+00:19:35,780 --> 00:19:41,820
+عشرة خليك برا وهي تكامل واحد على X تربية زي التسعة
+
+199
+00:19:41,820 --> 00:19:49,530
+كله في DX الآن بنقدر نكامل تكامل هذهالبس تفضل
+
+200
+00:19:49,530 --> 00:19:56,030
+المقام لن ولا داعي للابسوليوت لأنها قيمة موجبة X
+
+201
+00:19:56,030 --> 00:20:04,490
+تربية زائد تسعة وهنا ناقص عشرة وهذه تلت تان انفرست
+
+202
+00:20:04,490 --> 00:20:12,430
+اللي هو مين؟ X ع تلاتة زائد constant C طب انت جلمك
+
+203
+00:20:12,430 --> 00:20:20,580
+الكل شويةيبقى هنا سؤال خمسة بدنا تكامل واحد على
+
+204
+00:20:20,580 --> 00:20:27,200
+الجذر التربيعي لإي أس اتنين اكس نقص ستة عشر اللي
+
+205
+00:20:27,200 --> 00:20:34,640
+هو DX طلعنا في السؤال كويس هذا جريب على مين من
+
+206
+00:20:34,640 --> 00:20:40,110
+التكاملات التلاتة اللي أخدناها المرة اللي فاتتالـ
+
+207
+00:20:40,110 --> 00:20:44,730
+sine constant نقص مربع المتغير، هذا لأ، المتغير
+
+208
+00:20:44,730 --> 00:20:50,050
+نقص الـconstant يبقى أقرب ما يكون على سيك انفرست،
+
+209
+00:20:50,050 --> 00:20:55,410
+بس سيك انفرست بدي يكون جاب الـH، اللي هو هذي
+
+210
+00:20:55,410 --> 00:20:58,270
+الدالة بعد ما ناخدها للجانريتر، يعني بدي يكون X
+
+211
+00:20:58,270 --> 00:21:02,330
+تقريبا بدي يكون هنا برا X E أس اتنين X بدي يكون
+
+212
+00:21:02,330 --> 00:21:07,670
+برا E أس إكس حتى نقدر نقول سيك انفرست، مظبوط؟
+
+213
+00:21:07,670 --> 00:21:13,260
+تمام؟طيب، يبقى نرجع لسؤالنا هذا، خليكم معنا تاني،
+
+214
+00:21:13,260 --> 00:21:17,960
+نرجع لسؤالنا، يبقى لو كان هنا EO6 اللي كانت جزء
+
+215
+00:21:17,960 --> 00:21:25,340
+منها محلولة، إذا اروح وضربلي في EO6 واجسم على EO6،
+
+216
+00:21:25,340 --> 00:21:28,400
+أصبحت المسألة على الشكل التالي
+
+217
+00:21:45,600 --> 00:21:49,400
+ماذا رأيكم؟ نطلع الاتنين تربية
+
+218
+00:21:52,620 --> 00:21:57,260
+ممتاز جدا يبقى بدي اخد ال EOS X بمتغير مين ما يكون
+
+219
+00:21:57,260 --> 00:22:03,860
+المتغير هذا اذا لو جيت اخدت المتغير T يساوي EOS X
+
+220
+00:22:03,860 --> 00:22:13,500
+يبقى D T بيساوي EOS X DXأذا هذا كله باصل بقدر أشيل
+
+221
+00:22:13,500 --> 00:22:18,480
+و أكتب دالة من DT يبقى آلة المثلة الى integration
+
+222
+00:22:18,480 --> 00:22:25,780
+لـ DT على T الجارية التربية التي تربية ناقص 16
+
+223
+00:22:25,780 --> 00:22:30,440
+يبقى صارت شكل شكل الـ Sec inverse اللي زعلناه قبل
+
+224
+00:22:30,440 --> 00:22:35,520
+قليل ولا لا يبقى هذا يبدو الساوية داشر رابع
+
+225
+00:22:40,610 --> 00:22:47,690
+سيك انفرس لمن؟ للقيم الواحدة التي تي على أربعة
+
+226
+00:22:47,690 --> 00:22:55,570
+زائد كونستان سي أو إن شئتم فقولوا الرابع سيك انفرس
+
+227
+00:22:55,570 --> 00:23:02,380
+بدي أشيل التي و أحط مكانها EOSXعلى أربعة شيلت ال
+
+228
+00:23:02,380 --> 00:23:06,680
+absolute و الله خلّيتها ماعناه مشكلة لإن ال X بمنش
+
+229
+00:23:06,680 --> 00:23:12,220
+القيمة موجبة والاربعة قيمة موجبة زائد ال constant
+
+230
+00:23:12,220 --> 00:23:19,000
+C السؤال السادس بدنا تكامل
+
+231
+00:23:19,000 --> 00:23:28,040
+لمين؟ لواحد على X الجدر التربيه ل X أُس 6 نقص 16
+
+232
+00:23:30,390 --> 00:23:35,970
+أه يعني شبيه بهذا، مع الفارق. 16 زي ما هي وليه شر
+
+233
+00:23:35,970 --> 00:23:40,150
+السلم زي ما هي. بس هذا بدل X منيش اللي حط X و6 مش
+
+234
+00:23:40,150 --> 00:23:44,830
+X تربية. لو كانت X تربية كان قصتي محلولة. X تربية.
+
+235
+00:23:44,990 --> 00:23:50,830
+مظبوط. احنا دائما وابدا في التكاملات اللي عندنا
+
+236
+00:23:50,830 --> 00:23:55,850
+هذه كلها X تربية. صحيح ولا لا؟ إذا لو روحت هذه
+
+237
+00:23:55,850 --> 00:24:02,330
+كتبتها بدلالة التربية، يعني إيش بكتبها؟X تكييب لكل
+
+238
+00:24:02,330 --> 00:24:11,270
+تربيع يعني بقدر أقول هذه هي تكامل من واحد على X
+
+239
+00:24:11,270 --> 00:24:20,630
+الجذري التربيع إلى X تكييب تربيع ناقص 16 كله في DX
+
+240
+00:24:21,730 --> 00:24:28,250
+بقول اه هذه مشان اطبق الكلام اللي حكيناه هنا يعني
+
+241
+00:24:28,250 --> 00:24:33,750
+بده اتخلص من جزء اثنين ال X تكييب بقول اه لو كان
+
+242
+00:24:33,750 --> 00:24:41,650
+هنا عندنا X تكييب كان صارت ايوة بيجي نعمل مضرب في
+
+243
+00:24:41,650 --> 00:24:46,430
+X تربيع و نقسم على X تربيع يبقى الفكرة تبعت السؤال
+
+244
+00:24:46,430 --> 00:24:52,260
+زي الفكرة اللي جابله باس مع الفرقلو ضربت البسط
+
+245
+00:24:52,260 --> 00:24:58,200
+والمقام في X تربية بصير X تربية على X تكييب الجدرى
+
+246
+00:24:58,200 --> 00:25:06,700
+التربية ل X تكييب تربية ناقص 16 كله بالنسبة لمن؟
+
+247
+00:25:08,300 --> 00:25:12,760
+الان بقدر اشيل الـ X تكييب بالكامل واحط بدالها any
+
+248
+00:25:12,760 --> 00:25:20,480
+variable اذا لو روحنا حقنا مثلا Z تساوي X تكييب
+
+249
+00:25:20,480 --> 00:25:27,400
+يبقى DZ يساوي تلاتة X تربية DX ماعنديش في المسألة
+
+250
+00:25:27,400 --> 00:25:34,920
+تلاتة يبقى بنقدر نقسمها تلاتة يبقى طول DZسوى X
+
+251
+00:25:34,920 --> 00:25:39,560
+تربية DX إذا بقدر أشيل كل اللي في البصد هذا و أضع
+
+252
+00:25:39,560 --> 00:25:45,100
+بدانه طول DZ يبقى هذه الطولة برا لإنها مقدار ثابت
+
+253
+00:25:45,100 --> 00:25:52,660
+وهذا الـDZ وهذا الـZ وهذا الجدر التربية لـZ تربية
+
+254
+00:25:52,660 --> 00:25:59,540
+ناقص 16 أظن صارت مثل هذه صح؟
+
+255
+00:26:01,640 --> 00:26:06,420
+زي هنا بالضبط، يبقى هذا الكلام بديه ساوي، أي تلت
+
+256
+00:26:06,420 --> 00:26:12,180
+اللي برا مالهاش دعوة و بديها كمان جداش رابع و أي
+
+257
+00:26:12,180 --> 00:26:20,810
+سك انفرس لمين لزد على أربعة زائد كونستاند سينأو ان
+
+258
+00:26:20,810 --> 00:26:27,570
+شئتم فقولوا 1 على 12 سك انفرز بدي أشيل ال z و أضع
+
+259
+00:26:27,570 --> 00:26:36,190
+مكانها x تكييب على 4 زائد constant c التكامل
+
+260
+00:26:36,190 --> 00:26:41,350
+السابع تكامل السابع بيقول لي dx
+
+261
+00:26:43,780 --> 00:26:50,220
+على الجدر التربية للإتنين X ماقص X تربيع.
+
+262
+00:26:52,600 --> 00:26:58,460
+هذه مش مبينة ولا زي واحدة من التكاملات التلاتة تبع
+
+263
+00:26:58,460 --> 00:27:03,480
+معكوسات الدول المثلثية.صحيح ولا لا؟ لا تشبه أي
+
+264
+00:27:03,480 --> 00:27:09,140
+منها.طب و شو ده نعمل؟ خد ال X عامل و مشترك، خدناه،
+
+265
+00:27:09,140 --> 00:27:13,180
+ضال اتنين ناقص X، عملنا حاجة؟ مين من الدائرة
+
+266
+00:27:13,180 --> 00:27:18,980
+المفلافية و لا؟ أيوة، يبقى الصح إنه نعمل إيش؟ أي
+
+267
+00:27:18,980 --> 00:27:27,350
+رجولةنضيف و نضح مين؟ و ما الفائدة منه؟ اه يعني
+
+268
+00:27:27,350 --> 00:27:31,970
+بدنا نعمل اكمال المربع يبدو بدنا نضيف رقم و نضح
+
+269
+00:27:31,970 --> 00:27:38,250
+هذا الرقم يبدو اكمال المربع مربع معامل x على أربع
+
+270
+00:27:38,250 --> 00:27:45,070
+أمثال أو أربعة أمثال معامل x تربية مربع هذا أربعة
+
+271
+00:27:45,340 --> 00:27:49,080
+أربعة تمثال معامل X تنبيه يبقى أربعة أربعة على
+
+272
+00:27:49,080 --> 00:27:55,380
+أربعة يبقى بنضيف واحد ونطر واحد بنكون ربما ربما
+
+273
+00:27:55,380 --> 00:28:02,040
+نكون حلنا المشكلة يساوي تكامل ل DX على ال square
+
+274
+00:28:02,040 --> 00:28:09,760
+root لواحد ناقص واحدزائد اتنين X ناقص ال X تربية
+
+275
+00:28:09,760 --> 00:28:17,180
+هذا الكلام يساوي تكامل لدي X على الجذر التربيعي
+
+276
+00:28:17,180 --> 00:28:26,250
+لواحد ناقص X تربية ناقص اتنين X زائد واحدأو إن
+
+277
+00:28:26,250 --> 00:28:33,030
+شئتم فقولوا هو تكامل لدي X على الجدرى التربيعي
+
+278
+00:28:33,030 --> 00:28:42,150
+لواحد ناقص X ناقص واحد لكل تربيع طبعا طب إيش
+
+279
+00:28:42,150 --> 00:28:47,520
+رأيكوا في هالشغل هذي؟ ده شوفوا موافقين ولا لأ؟هي
+
+280
+00:28:47,520 --> 00:28:54,380
+تكامل المقام بتخليه زي ما هو واحد ناقص اكس ناقص
+
+281
+00:28:54,380 --> 00:29:01,140
+واحد لكل تربيع وهي اديلي اشارة التفاضل هدى دى ايش
+
+282
+00:29:01,140 --> 00:29:11,160
+دى اكس لو حطيت هدى اكس ناقص واحد بنفع دى
+
+283
+00:29:11,160 --> 00:29:17,510
+اشارة ايشتفاضل اشتقاك يفضل مشتقة ال X ب DX ومشتقة
+
+284
+00:29:17,510 --> 00:29:23,230
+ال واحد Zero سويتش ايه؟ يعني سارة ال DX عندنا هذه
+
+285
+00:29:23,230 --> 00:29:28,810
+is equivalent to DX ناقص واحد طب واحد بيعرفش يسوي
+
+286
+00:29:28,810 --> 00:29:33,230
+زي هيك، كيف يسوي؟ بقول له بكل بساطة شيل ال X ناقص
+
+287
+00:29:33,230 --> 00:29:38,680
+واحد أحط بدالها Tبصينا عندك DT على 1 نقص T تربيع
+
+288
+00:29:38,680 --> 00:29:46,200
+لإن بحط T تساوي X نقص 1 لو حطيتي T تساوي X نقص 1
+
+289
+00:29:46,200 --> 00:29:52,780
+يبقى DT هي DX صحيح ولا لأ صارت DT هي DX وانا قلت
+
+290
+00:29:52,780 --> 00:30:00,770
+DX هي DX نقص 1مظبوط طب هان ايش بتخليك المثل دي ت
+
+291
+00:30:00,770 --> 00:30:05,390
+على واحد نقص ت تربيه عندك تعويض صح ولا لأ يبقى
+
+292
+00:30:05,390 --> 00:30:09,770
+عملت هيك و لا حطيت التعويض ماعملت خلتها زي ما هي و
+
+293
+00:30:09,770 --> 00:30:14,270
+روحت حطيتلي تعويضة ت ب X نقص واحد مصدر اللي عندك
+
+294
+00:30:14,270 --> 00:30:19,170
+دي ت وسوى DX يبقى بصير دي ت على واحد نقص ت تربيه
+
+295
+00:30:19,170 --> 00:30:24,490
+صحيح ولا لأ يبقى هده هه ايش بيعطينا دوري automatic
+
+296
+00:30:24,490 --> 00:30:30,880
+الجواب جديدكأن دي T على واحد ناقص T تربيها جدش
+
+297
+00:30:30,880 --> 00:30:36,380
+تكملها دي sign inverse X ناقص واحد كله على واحد
+
+298
+00:30:36,380 --> 00:30:43,730
+زائد constant Cكويسة الفكرة هذه؟ اول مرة بتشوفوها؟
+
+299
+00:30:43,730 --> 00:30:47,570
+يا ما سوناها في كل قلص ايه لكوا؟ لما نقول لما نقول
+
+300
+00:30:47,570 --> 00:30:54,170
+cos θ dθ بقول عليه dsin θ عملتالكوا كتير في كل
+
+301
+00:30:54,170 --> 00:30:58,190
+قلص، هي مظبوط؟ يا بجاب اه بقال؟ بسيبنا نتكلم الشعب
+
+302
+00:30:58,190 --> 00:31:03,030
+التاني وماشي، لكن انا عملتالكوا عدة مراتطيب هذا هو
+
+303
+00:31:03,030 --> 00:31:08,370
+المثال الرقم ستة، بدنا نروح للمثال رقم، والله هذا
+
+304
+00:31:08,370 --> 00:31:13,660
+سبعة، نروح للمثال رقم تمانيةدربلك هذا السؤال
+
+305
+00:31:13,660 --> 00:31:18,300
+الموجود في الكتاب في التمرين ومثال رقم تمانية كمان
+
+306
+00:31:18,300 --> 00:31:24,560
+سؤال موجود في التمرين يقول التكامل الذي X على X
+
+307
+00:31:24,560 --> 00:31:30,740
+ناقص اتنين الجذر التربية إلى مين؟ لا X تربية ناقص
+
+308
+00:31:30,740 --> 00:31:33,720
+اربعة X زائد تلاتة
+
+309
+00:31:41,000 --> 00:31:46,380
+يبقى بعد يبقى تقول لأ فكرة نفس الفكرة هذه بداش
+
+310
+00:31:46,380 --> 00:31:53,020
+اكمال للمربع انشوف كيف هذا الكلام يساوي تكامل الذي
+
+311
+00:31:53,020 --> 00:31:58,400
+X على X ناقص اتنين مالهاش دعوة في الجدرى التربية ل
+
+312
+00:31:58,400 --> 00:32:04,260
+X تربية ناقص اربعة X جديش بده مش هنصيح مربع كامل؟
+
+313
+00:32:05,220 --> 00:32:10,200
+أربعة صح ولا لا؟ يمكن بدي أضيف أربعة وأطرح أربعة
+
+314
+00:32:10,200 --> 00:32:13,660
+أوى التلاتة لإن الطب يفيلها واحد واطرح منها واحد
+
+315
+00:32:13,660 --> 00:32:20,880
+يعني هذه بدأت صير زائد أربعة ناقص واحد، مظبوط؟
+
+316
+00:32:21,060 --> 00:32:24,900
+أربعة ناقص واحد هي بتلاتة تمام، طب إيش استفدنا من
+
+317
+00:32:24,900 --> 00:32:32,120
+الشغل هذه؟ تكامل لدي X على X ناقص اتنين ل square
+
+318
+00:32:32,120 --> 00:32:37,580
+root هذا كل اللي هو مربع كامل له X ناقص اتنين لكل
+
+319
+00:32:37,580 --> 00:32:43,930
+تربيع ناقص واحدبقدر أسميها زي اللي قبلها؟ بدون
+
+320
+00:32:43,930 --> 00:32:52,750
+مشاكل يساوي تكامل لديه X ناقص اتنين على X ناقص
+
+321
+00:32:52,750 --> 00:32:58,270
+اتنين الجدر التربية ل X ناقص اتنين لكل تربية ناقص
+
+322
+00:32:58,270 --> 00:33:07,730
+واحدتانه DWW الجدر التربيه W تربيه ناقص واحد اللي
+
+323
+00:33:07,730 --> 00:33:12,170
+مايعرفش من هنا يقول لي حط لي W سوى X ناقص اتنين
+
+324
+00:33:12,170 --> 00:33:16,770
+يبقى DW ودي سوى DX يبقى يتحول لمثل الشكل هذا يبقى
+
+325
+00:33:16,770 --> 00:33:23,730
+هذا جداش الجواب شباب لسك انفرس absolute value لل X
+
+326
+00:33:23,730 --> 00:33:31,600
+ناقص اتنين على احد زائد constant Cطيب، سؤال
+
+327
+00:33:31,600 --> 00:33:35,500
+التاسع، هدول السؤالين موجودات في الكتاب ديربالا؟
+
+328
+00:33:35,500 --> 00:33:40,940
+مين اللي بدي أسأله؟ وين اللي بدي أسأله؟ أه، تفضل
+
+329
+00:33:40,940 --> 00:33:47,700
+هدا؟
+
+330
+00:33:47,700 --> 00:33:48,540
+أه
+
+331
+00:34:01,020 --> 00:34:06,640
+طب هل تشبهش الـ Mobile City Inverse؟ مانا عارف، بس
+
+332
+00:34:06,640 --> 00:34:10,860
+بدك ايش، بدك يكون المتغير هذا هو المتغير اللي هنا
+
+333
+00:34:10,860 --> 00:34:16,060
+هو المتغير اللي هنا يعني هذه كانت DX على X تقريرها
+
+334
+00:34:16,060 --> 00:34:19,060
+نقص واحد، بس احنا عندنا هنا X وهنا على X نقص
+
+335
+00:34:19,060 --> 00:34:24,980
+اتنين، هتكون اتنين زي بعض تماما، تمام؟ حد بدي يسأل
+
+336
+00:34:24,980 --> 00:34:31,780
+فينا يا شباب؟اه يا اتفضل اسمع انت وياه، نسمع ايش
+
+337
+00:34:31,780 --> 00:34:38,580
+بيقول؟ اه ماضربناش
+
+338
+00:34:38,580 --> 00:34:43,200
+ولا حاجة يا ابنه، بس أضفنا لاتنين وخلته داخل عملية
+
+339
+00:34:43,200 --> 00:34:50,180
+الاشتقاءبأثر مش تقتل كل أسطن بـ0، بأثرش بتاتر، إذا
+
+340
+00:34:50,180 --> 00:34:53,500
+بتعرفش تشتغل هذه الشغله دي ماعنديش مانع، من حد ما
+
+341
+00:34:53,500 --> 00:34:59,940
+توصل لهنا، حط ليقولي حط الـW سوى X ناقص 2، يبقى دي
+
+342
+00:34:59,940 --> 00:35:05,240
+الـW سوى دي الـX، يبقى قصيري المثلة، دي الـW، الـW
+
+343
+00:35:05,240 --> 00:35:09,860
+الجدرى تربية لـW تربية ناقص واحد، فلازم، بتقولي
+
+344
+00:35:09,860 --> 00:35:12,660
+second inverse W، و بعدين أشيل الـW و أحط لها X
+
+345
+00:35:12,660 --> 00:35:26,120
+ناقص 2سؤال التاسع بيقول لي تكامل لدى x على sin
+
+346
+00:35:26,120 --> 00:35:33,460
+inverse x في مين؟ في الجدرى التربية إلى واحد ناقص
+
+347
+00:35:33,460 --> 00:35:34,320
+x تربية
+
+348
+00:35:52,310 --> 00:36:00,260
+فامن مصاحب المثالات؟ sign inverse وحده اشترح دارس
+
+349
+00:36:00,260 --> 00:36:03,320
+المحاضرة قبل ما يجي دارس اللخض المحاضرة الماضية
+
+350
+00:36:03,320 --> 00:36:09,420
+قال لي ما هذا كله هو مشتقة sign inverse صح ولا لأ؟
+
+351
+00:36:09,420 --> 00:36:16,560
+يعني قال لي كان المسألة تكامل مشتقة sign inverse x
+
+352
+00:36:16,560 --> 00:36:18,820
+على sign inverse x
+
+353
+00:36:46,060 --> 00:36:48,240
+السؤال العاشر
+
+354
+00:36:51,260 --> 00:37:00,180
+بنتكامل لقصين تكييب ال X كوصين
+
+355
+00:37:00,180 --> 00:37:08,360
+تكييب لغوث اللي هو سك انفرس X كله مقسوما على X
+
+356
+00:37:08,360 --> 00:37:16,750
+الجليد التربيعي ل X تربيع ناقص واحد DXبيدك اعملها
+
+357
+00:37:16,750 --> 00:37:21,250
+زي هذا بيعملها بدكش بيقول شكلها مخيفة بيقولك ولا
+
+358
+00:37:21,250 --> 00:37:28,210
+مخيفة ولا حاجة هاي حقلي ثيتا تساوي Sec inverse X
+
+359
+00:37:28,210 --> 00:37:34,730
+يبقى دي ثيتا واحد على X طبعا تابع للسؤال يا شباب X
+
+360
+00:37:34,730 --> 00:37:39,090
+أكبر من Zero حقلي تابع للسؤال ان X is greater than
+
+361
+00:37:39,090 --> 00:37:45,800
+Zeroيبقى X الجذر التربية إلى X تربية ناقص واحد DX
+
+362
+00:37:45,800 --> 00:37:52,780
+إذا بقدر أشيل هذا المقدار كله و أحط بدله قداش D
+
+363
+00:37:52,780 --> 00:37:59,320
+ثيتا يبقى آلة المثلة تكامل لك وصين تكييب ثيتا D
+
+364
+00:37:59,320 --> 00:38:06,080
+ثيتايبقى انتقل من Calculus B إلى Calculus E هذه كل
+
+365
+00:38:06,080 --> 00:38:12,160
+الكاملة في Calculus A يعني هذه بقدر اقول تكامل
+
+366
+00:38:12,160 --> 00:38:19,760
+لcos تربيه ثيته في cos ثيته في d ثيته هذه تكامل
+
+367
+00:38:19,760 --> 00:38:27,370
+واحد ناقص sin تربيه ثيته وهذه كلهابقدر اكتب عليهم
+
+368
+00:38:27,370 --> 00:38:37,330
+مشتقة sin θ يبقى دي ل sin θ مشتقة ال sin ب cos θ
+
+369
+00:38:37,330 --> 00:38:43,270
+دي ثتا يبقى شيلت هذه و حطيت هذه المكافئة لها تماما
+
+370
+00:38:43,270 --> 00:38:50,370
+يبقى بدنان كامل الواحد بالنسبة لمين؟لصين الزاوية
+
+371
+00:38:50,370 --> 00:38:56,910
+ثيتا يبقى ايش مدينة الكون هنا جداش صين الثيتا ناقص
+
+372
+00:38:56,910 --> 00:39:03,450
+و هذا صين تكييب ثيتا ع تلاتة زائد constant C
+
+373
+00:39:03,450 --> 00:39:09,150
+السؤال بدأ بالمتغير X وانتهى بالمتغير ثيتا بانفعش
+
+374
+00:39:09,150 --> 00:39:17,560
+الا نروح نحولها كلها بدلالة ثيتا طيب عندك هذهأريد
+
+375
+00:39:17,560 --> 00:39:21,140
+أن أخرجها بدولة X يعني أريد أن أخلص محكات الـSin
+
+376
+00:39:21,140 --> 00:39:25,500
+والسك In فأريد أن أخرجها بدولة EX دوري مباشرة بدون
+
+377
+00:39:25,500 --> 00:39:29,500
+لشكل V ولا غيره اخرجني لهذا من العبارة المكافئة
+
+378
+00:39:29,500 --> 00:39:36,950
+لهذه اللي هو السكثيتا يساوي X يعني لو روحت رسمت
+
+379
+00:39:36,950 --> 00:39:41,510
+المثلث القائم الزاوية جدفل ثيتا وهذا مين اللي هو
+
+380
+00:39:41,510 --> 00:39:46,210
+الزاوية القائمة سك يساوي الوطر على المجاور لأن هذا
+
+381
+00:39:46,210 --> 00:39:52,070
+بنقدر نعتبرها X على مين على احد يعني هي الوطر وهي
+
+382
+00:39:52,070 --> 00:39:57,790
+المجاورةحسب فيثا غورف هذه x تربية ما لها ناقص
+
+383
+00:39:57,790 --> 00:40:04,170
+واحد، إذا هذا الكلام يساوي. سين الثيتا المقابل على
+
+384
+00:40:04,170 --> 00:40:09,910
+الوطر يبقى المقابل x تربية ناقص واحد على الوطر
+
+385
+00:40:09,910 --> 00:40:17,220
+اللي هو x ناقص تلت ما ليش داوهذا نفس اللي قبلها
+
+386
+00:40:17,220 --> 00:40:22,300
+الجدرى التربيه ال X تربيها ناقص واحد على X الكل
+
+387
+00:40:22,300 --> 00:40:28,280
+تكيب زائد constant Cالذي لا يريد ان يزهر ويريد ان
+
+388
+00:40:28,280 --> 00:40:32,720
+يتركها بدلات الدوالة المثلثية ومعكوذاتها يستطيع ان
+
+389
+00:40:32,720 --> 00:40:37,200
+يزيل ثيتا ويضع مكانها سك انفرس يريد ان يصبح صين
+
+390
+00:40:37,200 --> 00:40:44,980
+لسك انفرس X نقص صين تكيب لسك انفرس X احنا غيّحناك
+
+391
+00:40:44,980 --> 00:40:49,280
+من الصين والسك انفرس وطلعنا المسألة بدلات ال X
+
+392
+00:40:49,280 --> 00:40:55,520
+مباشرةلحد هنا stop intersection وإليك أرقام ال
+
+393
+00:40:55,520 --> 00:41:03,240
+exercises سبعة ستة exercises اللي همين سبعة ستة
+
+394
+00:41:03,240 --> 00:41:12,580
+المسائل التالية سبعة ستة من واحد لغاية تمانية
+
+395
+00:41:12,580 --> 00:41:19,120
+وتسعين ال multiple of three يبقى ال multiple
+
+396
+00:41:24,340 --> 00:41:32,600
+وزيادة على ذلك سؤال 112 و114
+
+397
+00:41:32,600 --> 00:41:36,900
+و115 و118.
+
+398
+00:42:07,000 --> 00:42:16,240
+خلاص بس انت وياك احنا جماعة سيكشن سبعة سبعة اللي
+
+399
+00:42:16,240 --> 00:42:20,900
+هو الـ hyperbolic functions
+
+400
+00:42:23,200 --> 00:42:31,840
+يعني الدوال الزائدية هنعرف
+
+401
+00:42:31,840 --> 00:42:36,400
+هذه الدوال بدلالة ال exponential function E وال6
+
+402
+00:42:36,400 --> 00:42:42,420
+التي درسناها سابقا فبجب اقوله هنا definition of
+
+403
+00:42:42,420 --> 00:42:47,000
+the hyperbolic
+
+404
+00:42:49,450 --> 00:42:59,650
+functions are defined as الشكل التالي طلعله كويس
+
+405
+00:42:59,650 --> 00:43:07,670
+هنا طلعله كويس بجوز أول واحدة اللي هي التوة
+
+406
+00:43:07,670 --> 00:43:12,280
+المثلثية كام واحدة يا شباب؟ستة ممتاز والدول
+
+407
+00:43:12,280 --> 00:43:18,920
+الزايدية ستة و بنكتبهم زيهم بس بنضيف الحرف H على
+
+408
+00:43:18,920 --> 00:43:22,720
+ال sign على ال cosine على التان على الكتان و
+
+409
+00:43:22,720 --> 00:43:30,540
+الاخرين فمثلا بنجي بنقول هنا sign و هذا ال H و X
+
+410
+00:43:31,290 --> 00:43:35,810
+يبقى تقرأ بطريقتين، الطريقة الأولى بقدر أقول sign
+
+411
+00:43:35,810 --> 00:43:41,890
+hyperbolic X يبقى باسم العنوان اللي احنا رافعينه
+
+412
+00:43:41,890 --> 00:43:49,950
+ولسه أولى بقول essential X هذه تسوية عمليا EO6
+
+413
+00:43:49,950 --> 00:43:58,320
+ناقص EOS ناقص X على 2طبعا الان لما نجي لرقم اتنين
+
+414
+00:43:58,320 --> 00:44:06,500
+هي cosine و بنظفلها HX cosine hyperbolic X او لسه
+
+415
+00:44:06,500 --> 00:44:14,560
+هو لجوش ال X هي ال E وال 6 زاد E والس ناقص 6 على 2
+
+416
+00:44:14,560 --> 00:44:23,280
+يبقى افرض عن بعض من باسم إشارة السالب والباقي زي
+
+417
+00:44:23,280 --> 00:44:23,660
+ما هو
+
+418
+00:44:29,010 --> 00:44:44,330
+يبقى هذا الكلام
+
+419
+00:44:44,330 --> 00:44:52,850
+يبدو يساوي سنش ال X على دوش ال Xيبقى بدنا نجسم
+
+420
+00:44:52,850 --> 00:44:57,490
+القيمتين اللي اتنا دورالهم على بعض يبقى النتيجة
+
+421
+00:44:57,490 --> 00:45:05,130
+EOS X ناقص EOS ناقص X على EOS X زائد EOS ناقص X
+
+422
+00:45:05,130 --> 00:45:10,670
+الرابع كتان
+
+423
+00:45:10,670 --> 00:45:17,350
+و بنظف ال H يبقى كتان hyperbolic X او potential X
+
+424
+00:45:18,090 --> 00:45:25,950
+بدي يساوي اللي هو جوش ال X على سنش ال X زي و لا
+
+425
+00:45:25,950 --> 00:45:33,130
+تشبه شكل الدوال المثلثية مع الفارق يبقى هذه E و
+
+426
+00:45:33,130 --> 00:45:39,850
+السكس زائد E و أس ناقص X على E و السكس ناقص E و أس
+
+427
+00:45:39,850 --> 00:45:52,010
+ناقص X الخامسة سش ال X يساوي1 على جوش الـ X يبقى
+
+428
+00:45:52,010 --> 00:46:00,450
+مقلوب من الجوش يبقى هذا الكلام 2 على يس X زي يس
+
+429
+00:46:00,450 --> 00:46:07,010
+نقص Xيبقى لاحظة الدوال كلها الزائدية كلها بالكتابة
+
+430
+00:46:07,010 --> 00:46:12,670
+بدلات ال E و ال 6 و E أصلاف ال 6 أخر حاجة نمر ال 6
+
+431
+00:46:12,670 --> 00:46:20,330
+Quotient يبقى بنقول Quotient X اللي هو بده يساوي
+
+432
+00:46:20,330 --> 00:46:28,570
+واحدعلى essential X مقلوب من مقلوب essential يبقى
+
+433
+00:46:28,570 --> 00:46:37,310
+اتنين على EOS X ناقص EOS ناقص X يبقى هذا من هذا
+
+434
+00:46:37,310 --> 00:46:44,190
+الدوال الزائدية الستة انتهينا من نقطة تعريف بدا
+
+435
+00:46:44,190 --> 00:46:48,170
+نيجي لرسم البياني لكل دالة من هذه الدوال
+
+436
+00:46:59,040 --> 00:47:04,900
+خلّيني أعمل كدهرسومات سهلة جدا، أسهل بكثير من
+
+437
+00:47:04,900 --> 00:47:11,560
+رسومات الدوال المثلثية نمسك أول واحدة فيهم، ايه؟
+
+438
+00:47:11,560 --> 00:47:18,740
+هذا محور X، محور Y، ايه الدلل اللي عندك هذا X؟
+
+439
+00:47:18,740 --> 00:47:22,100
+يبقى
+
+440
+00:47:22,100 --> 00:47:27,000
+هذه سن شل X، تشبه مين؟
+
+441
+00:47:30,020 --> 00:47:35,700
+شبهها بالضبط تماما. كويس؟ ال domain يساوي ال range
+
+442
+00:47:35,700 --> 00:47:42,310
+يساوي كل ال real line.اللي بعدها جوش ال X هذا محور
+
+443
+00:47:42,310 --> 00:47:48,730
+X هذا محور Y هذه Zero السؤال لكوا عمر هذا بياخد
+
+444
+00:47:48,730 --> 00:47:55,030
+قيمة سالبة يبقى الرأس لوين؟ فوق لو حطيت ال X ب
+
+445
+00:47:55,030 --> 00:47:58,150
+Zero ايه ال Zero بواحد؟ ايه ال Zero بواحد وواحد
+
+446
+00:47:58,150 --> 00:48:02,990
+اتنين على اتنين؟ يعني عند ال Zero قيمة الدالة
+
+447
+00:48:02,990 --> 00:48:10,040
+بقداش يبقى المنحنة بجيك زي هيكيشبه رسمة Y to say X
+
+448
+00:48:10,040 --> 00:48:15,880
+تربية يبقى هذا gosh ال X ال demand كله ال real
+
+449
+00:48:15,880 --> 00:48:22,860
+life و ال range عمرهاش بتاخد اي قيمة اقل من الواحد
+
+450
+00:48:23,260 --> 00:48:26,700
+يبقى الدنيا من سنة بالإنفينتي لإنفينتي و ال range
+
+451
+00:48:26,700 --> 00:48:35,660
+من واحد إلى إنفينتي يبقى ال range تبع جوش ال X بدي
+
+452
+00:48:35,660 --> 00:48:41,080
+ساوي closed interval واحد لغاية الإنفينتي التاش و
+
+453
+00:48:41,080 --> 00:48:46,260
+الكتاش بدي أحطهم الكبر أسمة واحدة يبقى هذا محور X
+
+454
+00:48:46,260 --> 00:48:52,890
+هذا محور Y هذا نقطة الأصل اللي هو Zero اتخيلان
+
+455
+00:48:52,890 --> 00:48:59,810
+عندك الخط y تساوي واحد و y تساوي سالب واحد بالشكل
+
+456
+00:48:59,810 --> 00:49:05,590
+اللي انا انا انا انا انا انا انا انا انا انا انا
+
+457
+00:49:05,590 --> 00:49:06,810
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+458
+00:49:06,810 --> 00:49:06,870
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+459
+00:49:06,870 --> 00:49:07,010
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+460
+00:49:07,010 --> 00:49:07,110
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+461
+00:49:07,110 --> 00:49:07,110
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+462
+00:49:07,110 --> 00:49:07,130
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+463
+00:49:07,130 --> 00:49:07,130
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+464
+00:49:07,130 --> 00:49:22,190
+انا انا
+
+465
+00:49:22,190 --> 00:49:28,900
+اناالـ Potential X لا يوجد اي تداخل بينهما.
+
+466
+00:49:29,160 --> 00:49:34,620
+Potential X بيجيك المنحلة بالشكل هذا و من هنا بيجي
+
+467
+00:49:34,620 --> 00:49:41,260
+طالع هكذا. يبقى الأزرق هذا هو Potential X وهذا هو
+
+468
+00:49:41,260 --> 00:49:47,080
+Potential X كذلك. الـ domain للـ Potentialكل الـ
+
+469
+00:49:47,080 --> 00:49:52,280
+real line تمام؟ و ال range من سنة واحدة الواحدة as
+
+470
+00:49:52,280 --> 00:49:58,900
+an open interval يبقى ضل الكتانش ال domain كل ال
+
+471
+00:49:58,900 --> 00:50:05,640
+real line ما عدا zero و ال range الواحدة ال
+
+472
+00:50:05,640 --> 00:50:12,810
+infinity و من سنة واحدة الواحدة يبقى ال domainبتبع
+
+473
+00:50:12,810 --> 00:50:18,830
+ال potential x بدي ساوي كل ال real line بدي أشيل
+
+474
+00:50:18,830 --> 00:50:28,340
+منه فقط من ال zero ال range بتبع ال potential xبدي
+
+475
+00:50:28,340 --> 00:50:33,020
+ساوي الـ Interval من سلب Infinity لغاية سلب واحد
+
+476
+00:50:33,020 --> 00:50:39,320
+اتحاد واحد و Infinity طيب هذه اربع رسومات تعلمين
+
+477
+00:50:39,320 --> 00:50:47,660
+ان الخامسة الخامسة بالشكل هذا محور X Y Zero النقطة
+
+478
+00:50:47,660 --> 00:50:55,740
+دي واحد يبقى المنحلة بيجي لكيكومن هنا بنزل هك يبقى
+
+479
+00:50:55,740 --> 00:51:03,060
+هذه رسمة social x ال domain تبعها كل ال real line
+
+480
+00:51:03,060 --> 00:51:10,840
+و ال range يزيل من الواحد بس يبقى ال range بتبع
+
+481
+00:51:10,840 --> 00:51:16,600
+social x بده يستوي من عندي ال zero لغاية واحد
+
+482
+00:51:17,140 --> 00:51:24,340
+الفترة مفتوحة لأن الواحد مغلقة بالاخر حاجة شكل ان
+
+483
+00:51:24,340 --> 00:51:33,560
+هذا محور X Y 0 جوز بالشكل هذا و جوز بالشكل هذا زي
+
+484
+00:51:33,560 --> 00:51:39,660
+رسمة مين واحدة الدمينيساوي ال range يساوي ال real
+
+485
+00:51:39,660 --> 00:51:46,800
+line كله ما عدا ما عدا ال zero طبعا لحد هنا stop
+
+486
+00:51:46,800 --> 00:51:51,980
+يعطيك العافية ان شاء الله بنكمل غدا ان شاء الله
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6e237a936cd1243b89076b8c56595046987ba02c
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ.srt
@@ -0,0 +1,1499 @@
+1
+00:00:09,820 --> 00:00:16,020
+بسم الله الرحمن الرحيم هذا الـ section يحتوي على
+
+2
+00:00:16,020 --> 00:00:21,260
+نقطتين النقطة الأولى حساب المساحة في الإحداثيات 
+
+3
+00:00:21,260 --> 00:00:28,300
+القطبية والنقطة الثانية حساب طول منحنى في الإحداثيات 
+
+4
+00:00:28,300 --> 00:00:33,110
+القطبية لذلك العنوان اللي احنا رفعينه الـ Areas and
+
+5
+00:00:33,110 --> 00:00:38,330
+Lengths يبقى المساحات وأطوال المنحنيات في 
+
+6
+00:00:38,330 --> 00:00:44,150
+الإحداثيات القطبية هنقسمه إلى نقطتين النقطة
+
+7
+00:00:44,150 --> 00:00:46,750
+الأولى اللي هي المساحات والنقطة الثانية اللي هي 
+
+8
+00:00:46,750 --> 00:00:51,360
+أطوال المنحنيات خلينا مع النقطة الأولى اللي هي الـ
+
+9
+00:00:51,360 --> 00:00:57,440
+area in the plane بدنا المساحة في المستوى بقاعدة 
+
+10
+00:00:57,440 --> 00:01:04,380
+نحسبها بدلالة الإحداثيات القطبية عطينا تعريفين نقرأ 
+
+11
+00:01:04,380 --> 00:01:11,000
+التعريف الأول نحاول نفهمه نرسم هذه المنطقة نحددها 
+
+12
+00:01:11,000 --> 00:01:15,860
+بالضبط اللي بدنا نحسب عليها فبقول لي the area 
+
+13
+00:01:15,860 --> 00:01:22,280
+على اتنب رسمنا معادلة منحنى r تساوي f of theta
+
+14
+00:01:22,280 --> 00:01:30,870
+نفترض جدلاً أن هذا المنحنى هو r تساوي f of theta هذه 
+
+15
+00:01:30,870 --> 00:01:36,050
+معادلة المنحنى المذكورة عنها جئنا رسمنا الخط θ
+
+16
+00:01:36,050 --> 00:01:41,930
+تساوي alpha فكان الخط θ تساوي alpha بالشكل هذا
+
+17
+00:01:49,570 --> 00:01:55,750
+رسمنا الخط الثاني θ تساوي Beta فكان هنا θ
+
+18
+00:01:55,750 --> 00:02:02,690
+تساوي Beta إذا انحصرت مساحة ما بين المنحنى R تساوي
+
+19
+00:02:02,690 --> 00:02:08,710
+F of Theta عند وين؟ وعند نقطة الأصل مع مين؟ مع
+
+20
+00:02:08,710 --> 00:02:13,910
+الخطين المستقيمين θ تساوي ألفا و θ تساوي بيتا
+
+21
+00:02:13,910 --> 00:02:20,070
+المساحة هذه هي المساحة المظللة اللي حددناها بالرمز
+
+22
+00:02:20,070 --> 00:02:26,930
+capital A يبقى قيمة هذه المساحة هي تكامل من Alpha
+
+23
+00:02:26,930 --> 00:02:34,650
+إلى Beta لنصف R تربيع d θ. يعني بنجي على معادلة
+
+24
+00:02:34,650 --> 00:02:39,010
+منحنى دالتها، بنربعها، نضربها في نصف ونكامل عليها من
+
+25
+00:02:39,010 --> 00:02:44,170
+Alpha إلى Beta، بنحصل على هذه المساحة. بنقول إن
+
+26
+00:02:44,170 --> 00:02:47,150
+بنجي للحالة الثانية أو التعريف الثاني لو عندي
+
+27
+00:02:47,150 --> 00:02:52,830
+منحنين، مش منحنى واحد. المنحنين حصروا بينهم مساحة
+
+28
+00:02:52,830 --> 00:03:00,090
+بدي أعرف مقدار هذه المساحة فمثلاً لو جئنا قلنا هذا
+
+29
+00:03:00,090 --> 00:03:04,310
+θ تساوي zero وهذا θ تساوي π على اثنين
+
+30
+00:03:04,310 --> 00:03:10,430
+رسمنا المنحنى الأول فكان المنحنى مثلاً بالشكل هذا
+
+31
+00:03:10,430 --> 00:03:17,350
+يبقى هذا المنحنى اللي هو R one of θ الـ ورقة of 
+
+32
+00:03:17,350 --> 00:03:23,390
+θ بيعطيني قيم موجبة R بتأخذ قيم موجبة وليس قيم 
+
+33
+00:03:23,390 --> 00:03:30,570
+سالبة يبقى أكبر من الـ zero بنفس الطريقة R اثنين of 
+
+34
+00:03:30,570 --> 00:03:37,950
+θ بدي أفترض أن هذا المنحنى هو R اثنين of θ
+
+35
+00:03:38,510 --> 00:03:46,170
+و رسمنا الخط θ تساوي Alpha يبقى هذا θ تساوي
+
+36
+00:03:46,170 --> 00:03:53,270
+Alpha وهذا الخط الثاني θ تساوي Beta الآن
+
+37
+00:03:53,270 --> 00:03:58,470
+المنحنيين مع الخطين حصروا لي مساحة اللي هي المساحة
+
+38
+00:03:58,470 --> 00:04:06,570
+المظللة بالأسود هذه هيك اللي هنسميها المساحة A قال
+
+39
+00:04:06,570 --> 00:04:14,500
+المساحة A هي عبارة عن تكامل من Alpha إلى Beta لنصف
+
+40
+00:04:14,500 --> 00:04:24,210
+R2 تربيع ناقص R1 تربيع وكله بالنسبة لمن؟ لـ dθ أو
+
+41
+00:04:24,210 --> 00:04:29,970
+نصف R اثنين تربيع الـ dθ التكامل عليها ناقص التكامل
+
+42
+00:04:29,970 --> 00:04:35,330
+على نصف R والـ dθ تعال نشوف هذه الرسمة، لو جئت
+
+43
+00:04:35,330 --> 00:04:39,090
+فقط بالتكامل الأول يبقى بيعطيني المساحة ما بين
+
+44
+00:04:39,090 --> 00:04:44,470
+المنحنى هذا عند نقطة الأصل المظللة والمنطقة البيضاء
+
+45
+00:04:44,470 --> 00:04:50,810
+هذه تمام؟ الآن المساحة الثانية هذه هي المنطقة
+
+46
+00:04:50,810 --> 00:04:55,150
+البيضاء دون المظللة إذا لو طرحت الاثنين من بعض
+
+47
+00:04:55,150 --> 00:05:00,650
+بتبقى مين؟ المساحة المظللة يبقى هذا اللي هو 
+
+48
+00:05:00,650 --> 00:05:04,570
+العلاقة اللي أردنا أن نوضحها للّي يستفسر قبل أن ندخل إلى
+
+49
+00:05:04,570 --> 00:05:12,670
+الأمثلة طيب المثال الأول المثال الأول بيقول ما يأتي
+
+50
+00:05:12,670 --> 00:05:18,950
+example one
+
+51
+00:05:18,950 --> 00:05:23,070
+بيقول
+
+52
+00:05:23,070 --> 00:05:32,710
+find the area of the region find the area of the
+
+53
+00:05:32,710 --> 00:05:37,530
+region بدنا نجد مساحة المنطقة inside
+
+54
+00:05:48,050 --> 00:05:50,850
+داخل الـ lemniscate
+
+55
+00:05:55,150 --> 00:05:58,550
+اللي وصلنا له من البارحة طبعاً في المحاضرة الماضية يوم
+
+56
+00:05:58,550 --> 00:06:06,930
+أمس اللي هو R تربيع يساوي 2 A تربيع كوساين 2 θ 
+
+57
+00:06:06,930 --> 00:06:11,410
+و الـ A greater than zero
+
+58
+00:06:19,110 --> 00:06:35,470
+هذه كانت في محاضرة أمس لما
+
+59
+00:06:35,470 --> 00:06:49,070
+رسمناها
+
+60
+00:06:49,070 --> 00:06:55,880
+كان ومن هنا طلع الشكل هذاك يبقى هذه رسمة المنحنى
+
+61
+00:06:55,880 --> 00:07:01,060
+اللي رسمناها يوم أمس طبعاً المنحنى متماثل بالنسبة 
+
+62
+00:07:01,060 --> 00:07:05,920
+لمحور X متماثل بالنسبة لمحور Y متماثل بالنسبة للـ
+
+63
+00:07:05,920 --> 00:07:11,980
+origin كذلك طب إذا أنا لو جبت مساحة ورقة واحدة فقط 
+
+64
+00:07:11,980 --> 00:07:16,360
+وضربتها في اثنين بكون حصلت على المساحة المطلوبة و
+
+65
+00:07:16,360 --> 00:07:20,460
+احنا نقول له نص ورقة ونضربها في كم؟ أربعة نقول
+
+66
+00:07:20,460 --> 00:07:25,200
+له مظبوط برضه كلامك صحيح قال لي لو رحت أخذت المساحة
+
+67
+00:07:25,200 --> 00:07:32,020
+هذه فقط لغاية وأن هنا θ تساوي zero ستتغير إلى
+
+68
+00:07:32,020 --> 00:07:37,740
+θ لغاية π على أربعة لو رجعنا بنرسم لامبارح
+
+69
+00:07:37,740 --> 00:07:41,960
+رسمت في الدائرة تلاقي عند الـ π على 4 بتأخذ كم
+
+70
+00:07:41,960 --> 00:07:49,240
+القيمة صفر وعند الصفر بتأخذ القيمة 2A تربيع، يعني 
+
+71
+00:07:49,240 --> 00:07:57,280
+إحداثيات النقطة هذه، اللي هي 2A تربيع و Zero بعدها
+
+72
+00:07:57,280 --> 00:08:01,000
+اللي بتوصل عند الـ π على أربعة بيصير كم؟ اثنين 
+
+73
+00:08:01,000 --> 00:08:06,760
+في π على أربعة بتسعين جتا تسعين بـ Zero بتكون الـ R
+
+74
+00:08:06,760 --> 00:08:11,420
+تساوي Zero عند الـ π على أربعة يبقى تكامل من صفر
+
+75
+00:08:11,420 --> 00:08:17,360
+إلى π على أربعة وضرب ربع في أربعة نحصل على مين
+
+76
+00:08:17,360 --> 00:08:21,980
+على المطلوب أو لو بدك تأخذ الورقة كلها سيكون
+
+77
+00:08:21,980 --> 00:08:30,550
+التغير من سالب π على أربعة إلى مين؟ إلى π على
+
+78
+00:08:30,550 --> 00:08:34,130
+أربعة سيئاً هذه والله هذه معناها مشكلة على أي حال
+
+79
+00:08:34,130 --> 00:08:38,730
+يبقى بدنا نجي نقول له الـ area المطلوبة بده يساوي
+
+80
+00:08:38,730 --> 00:08:44,790
+تكامل لنصف من Alpha إلى Beta يبقى من Zero لـ π على
+
+81
+00:08:44,790 --> 00:08:50,230
+أربعة يبقى هذه جابت لي ربع المساحة فبالتالي بروح
+
+82
+00:08:50,230 --> 00:08:55,690
+بضرب التكامل كله في أربعة طيب R تربيع أروح أربع هذه
+
+83
+00:08:55,690 --> 00:09:01,310
+ولا جاهزة؟ جاهزة مية المية بس لو كانت R تساوي بروح
+
+84
+00:09:01,310 --> 00:09:06,510
+أربعها لكن كونها R تربيع يبقى جاهزة وخالصة 2 A
+
+85
+00:09:06,510 --> 00:09:11,810
+تربيع كوساين 2 θ كله بالنسبة للـ d θ
+
+86
+00:09:11,810 --> 00:09:18,210
+أظن 2 مع 2 بتروح بظل يساوي 4 تكامل
+
+87
+00:09:18,210 --> 00:09:24,510
+من zero لغاية π على 4 لـ cosine 2 θ d 
+
+88
+00:09:24,510 --> 00:09:31,550
+θ و بطلع الـ A تربيع برا هيها بشكل هذا أربعة
+
+89
+00:09:31,550 --> 00:09:37,980
+A تربيع هذا الكلام بده يساوي 4 A تربيع وتفاضل
+
+90
+00:09:37,980 --> 00:09:43,260
+cosine بـ sin 2 θ على 2 والحكي هذا من
+
+91
+00:09:43,260 --> 00:09:50,500
+zero لغاية π على 4 يبقى 2 A تربيع فيه
+
+92
+00:09:50,500 --> 00:09:56,140
+sin π على 4 بيضل هنا sin π على 2 
+
+93
+00:09:56,140 --> 00:10:03,100
+جاءت تسعين بـ 1 ناقص Zero يبقى الجواب 2 A تربيع
+
+94
+00:10:05,730 --> 00:10:10,450
+طيب هذا سؤال مباشر ما فيش فيه فكرة إلا تحديد حدود
+
+95
+00:10:10,450 --> 00:10:18,170
+التكامل ننقل الكل شوية يبقى example 2 example 2
+
+96
+00:10:18,170 --> 00:10:22,970
+بيقول ما يأتي define the area of the region find the
+
+97
+00:10:22,970 --> 00:10:32,870
+area of the region بدنا مساحة المنطقة رقم كم؟
+
+98
+00:10:42,870 --> 00:11:00,930
+R يساوي 2 ناقص
+
+99
+00:11:00,930 --> 00:11:14,850
+2 في cos زاوية 2 θ رقم كم؟ inside the circle
+
+100
+00:11:14,850 --> 00:11:24,070
+داخل الدائرة and outside the cardioid
+
+101
+00:11:53,420 --> 00:11:57,120
+بنرجع لسؤالنا مرة ثانية بيقول لي هات لي مساحة
+
+102
+00:11:57,120 --> 00:12:02,980
+المنطقة المطلوبة المحصورة بين الدائرة R تساوي
+
+103
+00:12:02,980 --> 00:12:08,080
+2 والكاردويد R يساوي 2 ناقص 2 كوساين
+
+104
+00:12:08,080 --> 00:12:12,880
+الزاوية θ الأمر الثاني بيبقى المساحة اللي موجودة
+
+105
+00:12:12,880 --> 00:12:18,020
+داخل الدائرة وخارج الكاردويد يبقى هذول سالمين
+
+106
+00:12:18,020 --> 00:12:23,120
+والفاصلين عن بعض تماماً يبقى أول خطوة بدنا نعملها
+
+107
+00:12:23,530 --> 00:12:28,150
+بدنا نروح نجيب نقاط التقاطع بينهم فين حصر ما بين
+
+108
+00:12:28,150 --> 00:12:32,230
+الاثنين، معناته بدنا نجيب نقاط التقاطع كيف بنيجي
+
+109
+00:12:32,230 --> 00:12:36,510
+نجيب نقاط التقاطع بين منحنيين في الإحداثيات
+
+110
+00:12:36,510 --> 00:12:41,050
+الكارتيزية؟ بنساويهم بعض، وهنا نفس القصة، بروح
+
+111
+00:12:41,050 --> 00:12:45,590
+بنساوي المنحنيين ببعض، إذا لو ساويتهم ببعض، بصير عند
+
+112
+00:12:45,590 --> 00:12:51,510
+مين هنا؟ 2 ناقص 2 كوساين 2 θ، بده
+
+113
+00:12:51,510 --> 00:12:57,020
+يساوي 2 أو إن شيرتم نقول 2 كوساين θ 
+
+114
+00:12:57,020 --> 00:13:00,840
+بده يساوي كم؟ Zero بده أجيب هذا هنا وهذا على
+
+115
+00:13:00,840 --> 00:13:07,380
+الناحية الثانية ومنها كوساين θ بده يساوي Zero
+
+116
+00:13:07,380 --> 00:13:11,580
+يبقى هذا معناته أن θ تساوي من الـ zero اللي جبناها تماماً يساوي صفر زائد أو ناقص π على 2 يبقى
+
+117
+00:13:11,580 --> 00:13:17,630
+زائد أو ناقص π على 2 تمام إذا عند الرسم بدي 
+
+118
+00:13:17,630 --> 00:13:24,950
+ألاحظ هذا الكلام بدي يقطع عند الزاوية اللي بتبقى
+
+119
+00:13:24,950 --> 00:13:29,490
+π على 2 طيب سؤال كم بتكون R؟
+
+120
+00:13:36,530 --> 00:13:42,730
+النقطة الأساسية للدائرة R هي R المعطى للكاردويد
+
+122
+00:13:42,730 --> 00:13:47,730
+مظبوط نفس الطول فبقى R عندي يساوي 2 ففعلاً R 
+
+123
+00:13:47,730 --> 00:13:50,590
+تساوي 2 ففعلاً لو جئنا للكاردويد وحطينا π 
+
+124
+00:13:50,590 --> 00:13:54,610
+على 2 أو سالب π على 2 بيضل طولها 2 لأن
+
+125
+00:13:54,610 --> 00:13:58,450
+كوساين صفر كوساين π على 2 أو سالب π على 2 
+
+126
+00:13:58,450 --> 00:14:05,090
+بصفر بيضلش إلا إثنين يبقى التقاطع هيكون عند النقطتين
+
+127
+00:14:05,090 --> 00:14:14,810
+يبقى هنا بروح بقول له that intersections تقطعت at
+
+128
+00:14:14,810 --> 00:14:24,570
+the points عند النقطتين إثنين و by على إثنين and
+
+129
+00:14:24,570 --> 00:14:33,120
+إثنين و سالب by على إثنين هيبقى إثنين سالب باي على
+
+130
+00:14:33,120 --> 00:14:39,380
+إثنين لو حبينا نرسم الرسمة دول مشان نحدد شغلنا
+
+131
+00:14:39,380 --> 00:14:45,380
+بدقة فبجي بقول هاي المحاور الشكل اللي عندنا هذا هيك
+
+132
+00:14:45,380 --> 00:14:54,900
+و هذا θ تساوي zero و هذا θ تساوي باي على إثنين لو
+
+133
+00:14:54,900 --> 00:14:59,980
+روحنا رسمنا الكاردويد باجي بطلع مكتوب بدلالة ال
+
+134
+00:14:59,980 --> 00:15:05,050
+cosine و الإشارة السلبية لمين؟ للـ cosine إذا الرسم
+
+135
+00:15:05,050 --> 00:15:11,490
+كله جهة مين؟ جهة محور X السالب زي ما رسمنا بالأمس
+
+136
+00:15:11,490 --> 00:15:17,370
+بالضبط تماما يبقى الكاردويد هيأخذ الشكل التالي
+
+137
+00:15:17,370 --> 00:15:20,690
+بهذا
+
+138
+00:15:20,690 --> 00:15:28,050
+الشكل ابتدينا مين؟ الدائرة مركزها على نقطة الأصل و
+
+139
+00:15:28,050 --> 00:15:34,250
+نصف قطرها هي تساوي كم؟ إثنين و التقاطع سيتم وين؟
+
+140
+00:15:34,250 --> 00:15:42,630
+التقاطع سيتم عند النقطة اللي إثنين و by على إثنين
+
+141
+00:15:44,420 --> 00:15:49,780
+إثنين و باي على إثنين يبقى هذه النقطة اللي هي إثنين
+
+142
+00:15:49,780 --> 00:15:55,960
+و باي على إثنين و هذه النقطة اللي هي إثنين و سالب باي
+
+143
+00:15:55,960 --> 00:16:01,840
+على إثنين يبقى الدائرة هتجي لنص قطرها يساوي إثنين
+
+144
+00:16:01,840 --> 00:16:09,680
+الشكل اللي عندنا هذا هيك يبقى هاي الدائرة اللي
+
+145
+00:16:09,680 --> 00:16:16,750
+عندنا تمام طيب، الآن جالي بدي المساحة المطلوب الأول
+
+146
+00:16:16,750 --> 00:16:20,970
+المحصورة ما بين الإثنين، هي المساحة مين؟ ليه دي
+
+147
+00:16:20,970 --> 00:16:26,290
+عليا هذه؟ طيب، نسأل السؤال التالي، هل المنحنى
+
+148
+00:16:26,290 --> 00:16:33,520
+متمثل بالنسبة لمحور X؟ كساية من البارحة يبقى متماثل
+
+149
+00:16:33,520 --> 00:16:38,000
+تمام و الدائرة متماثلة كمان يعني النصف العلوي زي
+
+150
+00:16:38,000 --> 00:16:43,360
+النصف السفلي إذا أنا لو جبت النصف العلوي للمساحة
+
+151
+00:16:43,360 --> 00:16:46,680
+المطلوبة و ضربته في إثنين بكون خلصنا من الموضوع
+
+152
+00:16:46,680 --> 00:16:51,840
+تمام؟ وين المساحة اللي فوق ليه المساحة اللي عندنا
+
+153
+00:16:51,840 --> 00:16:58,800
+هذه كلها؟ هذا النصف العلوي، مظبوط؟ يبقى لو ضربت هذه
+
+154
+00:16:58,800 --> 00:17:03,780
+المساحة في إثنين بيتم المطلوب طيب حدد المساحة بدقة
+
+155
+00:17:03,780 --> 00:17:11,240
+أكثر بقولك اه ايش رأيك في المساحة المظللة هذه؟ اه
+
+156
+00:17:11,240 --> 00:17:17,220
+لو جيت أخذت من النقطة هذه R و جيت طالع للمحيط هذه
+
+157
+00:17:17,220 --> 00:17:23,050
+نقطة تقع على مين؟ على الكاردويد، إذا أنا لو جيت
+
+158
+00:17:23,050 --> 00:17:29,850
+قلت نص R تربيع و كملت عليها من عن θ تساوي zero لعن
+
+159
+00:17:29,850 --> 00:17:35,070
+θ تساوي بي على إثنين بكون جبت المساحة المظللة للصغيرة
+
+160
+00:17:35,070 --> 00:17:39,530
+هذه فقط، لا غير، صحيح ولا لا؟ الآن بدي أروح أجيب
+
+161
+00:17:39,530 --> 00:17:44,670
+المساحة الثانية هذه هه هه أنا أفرجتهم عن بعض في
+
+162
+00:17:44,670 --> 00:17:50,070
+الشكل المساحة الثانية هذه بدك تكامل من theta تساوي
+
+163
+00:17:50,070 --> 00:17:58,950
+ل theta تساوي كده؟ باي let me أرسم خط هيك هيك يقطع
+
+164
+00:17:58,950 --> 00:18:06,790
+المنطقة الثانية من نقطة الأصل إلى محيط الدائرة يبقى
+
+165
+00:18:06,790 --> 00:18:12,130
+المنحنى الثاني هو إثنين وليس الكاردويد إذا باجي
+
+166
+00:18:12,130 --> 00:18:20,290
+بقول له ال area المطلوبة في نمرة A هي عبارة عن تكامل
+
+167
+00:18:20,290 --> 00:18:25,070
+من Alpha إلى Beta يعني من Theta تساوي Zero إلى
+
+168
+00:18:25,070 --> 00:18:31,550
+Theta تساوي Pi على إثنين لنص جينا نقول له هذا هو
+
+169
+00:18:31,550 --> 00:18:35,600
+المنحنى الكاردويد الكاردويد اللي هو إثنين ناقص
+
+170
+00:18:35,600 --> 00:18:42,640
+إثنين كوساين ثيتا يبقى إثنين ناقص إثنين كوساين
+
+171
+00:18:42,640 --> 00:18:51,660
+ثيتا الكل تربيع هذا اليزي الأول دي ثيتا زائد تكامل
+
+172
+00:18:51,660 --> 00:18:58,200
+جينا لمين؟ للدائرة من باي على إثنين إلى باي من باي
+
+173
+00:18:58,200 --> 00:19:08,260
+على إثنين إلى باي لنص إثنين تربيع دي ثيتا أجمل
+
+174
+00:19:08,260 --> 00:19:13,940
+مساحتين نضربها في إثنين هاي بدنا نضرب التكاملات
+
+175
+00:19:13,940 --> 00:19:21,590
+الإثنين كله في إثنين و هذه في إثنين بتم المطلوب بكون
+
+176
+00:19:21,590 --> 00:19:27,730
+فعلا جيبنا المساحة الكلية المطلوبة طيب نصف إثنين
+
+177
+00:19:27,730 --> 00:19:32,970
+مع السلامة يبقى بصير تكامل من zero لغاية πاي على
+
+178
+00:19:32,970 --> 00:19:39,250
+إثنين للاربعة ناقص ثمانية كوسين الزاوية ثيتا زائد
+
+179
+00:19:39,250 --> 00:19:48,370
+اربعة كوسين تربيع ثيتا كله في دي ثيتا زائد تكامل من
+
+180
+00:19:48,370 --> 00:19:55,250
+باي على إثنين إلى باي لمن؟ لا لإثنين دي نص مع إثنين
+
+181
+00:19:55,250 --> 00:19:56,530
+لأربعة دي ثيتا
+
+182
+00:19:59,320 --> 00:20:03,960
+يبقى هذا الكلام يساوي، ايش رأيك بتاخد أربعة برا
+
+183
+00:20:03,960 --> 00:20:09,160
+عامل مشترك؟ يبقى هاي أربعة برا، بضل تكامل من zero
+
+184
+00:20:09,160 --> 00:20:14,740
+لπi على إثنين لواحد ناقص إثنين كوسين الزاوية تيتا،
+
+185
+00:20:14,740 --> 00:20:21,180
+هذه كوسين تربيع ليه النص في واحد زائد كوسين إثنين
+
+186
+00:20:21,180 --> 00:20:29,980
+ثيتا كله بالنسبة إلى D ثيتا و هذا زائد أربعة ثيتا
+
+187
+00:20:29,980 --> 00:20:36,330
+من باي على إثنين لغاية باي يبقى النتيجة هي أربعة
+
+188
+00:20:36,330 --> 00:20:42,150
+برا و هي تكمل من zero لπاية على إثنين لواحد ناقص
+
+189
+00:20:42,150 --> 00:20:47,410
+إثنين cosine الزاوية ثيتا مش واحد بيصير و نص بجهده
+
+190
+00:20:47,410 --> 00:20:53,830
+بيصير ثلاثة على إثنين واحد صحيح و هنا نص يبقى واحد و
+
+191
+00:20:53,830 --> 00:20:59,510
+نص ثلاثة على إثنين هذه نزلناها زي ما هي زائد نص
+
+192
+00:20:59,510 --> 00:21:06,510
+cosine إثنين ثيتا كله في دي ثيتا و هذه زائد أربعة
+
+193
+00:21:06,510 --> 00:21:15,210
+في باي ناقص باي على إثنين إن كامل هي أربعة برا و هي
+
+194
+00:21:15,210 --> 00:21:20,930
+ثلاثة على إثنين ثيتا ناقص إثنين في ال sign الزاوية
+
+195
+00:21:20,930 --> 00:21:29,130
+ثيتا زائد sign إثنين ثيتا على أربعة كله من zero
+
+196
+00:21:29,130 --> 00:21:35,430
+لغاية باي على إثنين زائد هذا بيظل باي على إثنين في
+
+197
+00:21:35,430 --> 00:21:40,710
+أربعة اللي هو بإثنين باي عوض بحدود التكامل و اجمع
+
+198
+00:21:40,710 --> 00:21:48,530
+و إليك النتيجة مباشرة يبقى نتيجة التكامل هذه بيصير
+
+199
+00:21:48,530 --> 00:21:57,930
+خمسة باي ناقص ثمانية يساوي خمسة باي ناقص ثمانية هذا
+
+200
+00:21:57,930 --> 00:22:02,590
+المطلوب الأول بدنا نروح للمطلوب الثاني اللي هو
+
+201
+00:22:02,590 --> 00:22:03,430
+نمرة 
+
+202
+00:22:15,990 --> 00:22:21,310
+نمرة بيه، بيقول لي ايش؟ بيقول لي بدنا المساحة اللي
+
+203
+00:22:21,310 --> 00:22:26,590
+داخل الدائرة و برا الكاردويد، هاي الكاردويد، تمام؟
+
+204
+00:22:26,590 --> 00:22:31,270
+اللي برا، يبقى المنطقة هذه، داخل الدائرة و خارج
+
+205
+00:22:31,270 --> 00:22:36,950
+مين؟ خارج الكاردويد، إذا بنفس الطريقة، بيروح يأخد
+
+206
+00:22:36,950 --> 00:22:41,450
+نصها و أضربه في إثنين بسبب التماثل، إذا لو جيت
+
+207
+00:22:41,450 --> 00:22:45,090
+لهذه المنطقة المظللة كلها، هذه
+
+208
+00:22:57,400 --> 00:23:02,040
+بنزيله لغاية باي على إثنين يبقى بدنا نكامل طيب بدي
+
+209
+00:23:02,040 --> 00:23:08,240
+أرسم خط من نقطة الأصل بحيث يقطع منطقتي التكامل
+
+210
+00:23:08,240 --> 00:23:16,010
+يبقى لو جيت قلت هذا الخط الأزرق الغامق هذا قط
+
+211
+00:23:16,010 --> 00:23:22,130
+الأزرق الغامق يبقى هذه تعتبر R واحد و هذه تعتبر R
+
+212
+00:23:22,130 --> 00:23:29,010
+إثنين و هذه θ تتغير من zero لغاية pi على
+
+213
+00:23:29,010 --> 00:23:35,830
+إثنين يبقى ال area المطلوبة يساوي إثنين في تكامل
+
+214
+00:23:35,830 --> 00:23:45,260
+من zero لغاية pi على إثنين لنص في عارف إثنين تربيع
+
+215
+00:23:45,260 --> 00:23:52,220
+لها مساحة مين؟ دائرة، يبقى هذا إثنين الكل تربيع،
+
+216
+00:23:52,220 --> 00:23:57,700
+ناقص، R تربيع اللي هو الكاردويد يبقى إثنين
+
+217
+00:23:57,700 --> 00:24:04,960
+ناقص إثنين cos θ الكل تربيع و كل هذا بنسبة إلى مين؟
+
+218
+00:24:04,960 --> 00:24:11,920
+إلى dθ هذا بده يساوي ال area ايه تساوي نص مع إثنين
+
+219
+00:24:11,920 --> 00:24:17,380
+الله يسهل عليها بظل تكامل من zero إلى πاي على مين
+
+220
+00:24:17,380 --> 00:24:26,620
+باي على إثنين للاربعة ناقص كمان أربعة زائد ثمانية
+
+221
+00:24:26,620 --> 00:24:35,100
+كوسين الزاوية ثيتا ناقص أربعة كوسين تربيع ثيتا كله
+
+222
+00:24:35,100 --> 00:24:40,260
+بالنسبة إلى مين؟ لديه تيتا هذه أربعة و هذه فكرتها
+
+223
+00:24:40,260 --> 00:24:48,240
+و دخلت إشارة السالب جوا يبقى صارت ناقص زائد ناقص
+
+224
+00:24:48,240 --> 00:24:53,720
+طيب الأربعتين هذول مع السلامة يبقى بظل عند مين
+
+225
+00:24:53,720 --> 00:25:03,950
+اللي هو تكامل من 0 ل π على 2 ل 8 cos θ ناقص 4 cos
+
+226
+00:25:03,950 --> 00:25:09,910
+تربيع هذه بنفس الطريقة هي عبارة عن نصف في مين؟ في
+
+227
+00:25:09,910 --> 00:25:16,940
+واحد زائد كوسين إثنين ثيتا كله بالنسبة إلى D ثيتا
+
+228
+00:25:16,940 --> 00:25:21,480
+يبقى آلة المثلة تكامل من zero to pi على إثنين
+
+229
+00:25:21,480 --> 00:25:30,440
+لتمانية كوسين ثيتا ناقص إثنين ناقص إثنين كوسين
+
+230
+00:25:30,440 --> 00:25:37,520
+إثنين ثيتا كله بالنسبة إلى D ثيتا نص في أربعة
+
+231
+00:25:37,520 --> 00:25:42,420
+بإثنين صار سالب بإثنين و سالب بإثنين cos مش ضايق
+
+232
+00:25:42,420 --> 00:25:49,420
+لإلا كامل يبقى لو كاملنا بصير ثمانية sin θ ناقص
+
+233
+00:25:49,420 --> 00:25:55,620
+إثنين ثيتا ناقص sin إثنين ثيتا على إثنين بتروح مع
+
+234
+00:25:55,620 --> 00:26:01,590
+الإثنين و الكلام هذا كله من zero لغاية باي على
+
+235
+00:26:01,590 --> 00:26:06,710
+إثنين هو يساوي عند ال باي على إثنين بواحد يبقى
+
+236
+00:26:06,710 --> 00:26:13,610
+بثمانية و هنا ناقص إثنين في باي على إثنين هاي باي
+
+237
+00:26:13,610 --> 00:26:19,670
+على إثنين تمام و هنا ناقص باي على إثنين بصير ال
+
+238
+00:26:19,670 --> 00:26:27,780
+sign باي ب zero و بعدها zero يبقى كله بـ zero يبقى
+
+239
+00:26:27,780 --> 00:26:33,420
+الجواب يساوي ثمانية ناقص باي هذه هي المساحة
+
+240
+00:26:33,420 --> 00:26:38,320
+المطلوبة حاجة ايه اللي يستفسر هنا قبل أن نكمل؟ بس
+
+241
+00:26:38,320 --> 00:26:42,980
+أقرر اللي حددت بي أقرر بي و لا تدبس في بي مالها
+
+242
+00:26:42,980 --> 00:26:50,970
+بي؟ مش أنت هاي المنطقة المظللة هي منطقة التكامل،
+
+243
+00:26:50,970 --> 00:26:55,890
+يعني الأولى هذه انتهينا، يعني هذه هه، كلها انتهينا
+
+244
+00:26:55,890 --> 00:27:00,470
+منها في الحالة الأولى، هذه كلها انتهينا منها،
+
+245
+00:27:00,470 --> 00:27:08,290
+شايف؟ يبقى الخط الأزرق الغامق هذا هه كويس؟ بده يقطع
+
+246
+00:27:08,290 --> 00:27:12,130
+منطقة التكامل عند النقطة الأولى هذه صحيح ولا لا؟
+
+247
+00:27:12,130 --> 00:27:17,530
+هذه عالميا على ال cardioid صحيح ولا لا؟ يبقى هذه
+
+248
+00:27:17,530 --> 00:27:23,330
+اعتبر R الصغيرة R الكوبرة اللي هو لمن يقطع المنحنى
+
+249
+00:27:23,330 --> 00:27:27,230
+الثانية عند النقطة دي اللي هي الدائرة يبقى بقول R
+
+250
+00:27:27,230 --> 00:27:33,660
+إثنين هي معادلة الدائرة و R واحد هي معادلة هذا كله 
+
+251
+00:27:33,660 --> 00:27:38,440
+نقربه في اثنين بيعطينا المساحة المطلوبة. حد يلغي
+
+252
+00:27:38,440 --> 00:27:40,720
+استفسار ثاني؟
+
+253
+00:28:02,790 --> 00:28:08,530
+ننتقل إلى النقطة الثانية من هذا الـ section وهي  نمر
+
+254
+00:28:08,530 --> 00:28:20,430
+اثنين الـ length of a polar curve
+
+255
+00:28:20,430 --> 00:28:29,650
+قول المنحنى في الإحداثيات القطبية definition f
+
+256
+00:28:31,160 --> 00:28:39,180
+الـ r تساوي f of theta has a continuous has a
+
+257
+00:28:39,180 --> 00:28:52,220
+continuous first derivative first derivative first
+
+258
+00:28:52,220 --> 00:29:01,470
+derivative for اللي هو θ أكبر من أو يساوي ألفا
+
+259
+00:29:01,470 --> 00:29:07,510
+أو أقل من أو يساوي بيتا وإذا
+
+260
+00:29:07,510 --> 00:29:13,370
+كانت
+
+261
+00:29:13,370 --> 00:29:22,770
+النقطة R و θ P of R و θ it traces the curve
+
+262
+00:29:28,300 --> 00:29:40,340
+رسمت لي L منحنى R تساوي F of θ exactly once
+
+263
+00:29:40,340 --> 00:29:54,120
+بالضبط مرة واحدة as θ runs from alpha
+
+264
+00:29:54,120 --> 00:30:01,790
+to beta then the
+
+265
+00:30:01,790 --> 00:30:15,170
+length of the curve طول المنحنى is  الـ
+
+266
+00:30:15,170 --> 00:30:23,110
+يساوي تكامل من alpha إلى beta للجذر التربيعي للـ R
+
+267
+00:30:23,110 --> 00:30:30,680
+تربيع زائد dR على d θ الكل تربيع في d
+
+268
+00:30:30,680 --> 00:30:38,080
+θ example find
+
+269
+00:30:38,080 --> 00:30:42,100
+the
+
+270
+00:30:42,100 --> 00:30:51,340
+length of the following curves
+
+271
+00:30:53,460 --> 00:31:00,480
+بنطول كل من المنحنيات التالية نمرة a r تساوي
+
+272
+00:31:00,480 --> 00:31:09,520
+cosine تكعيب لـ θ على ثلاثة و θ تتغير من
+
+273
+00:31:09,520 --> 00:31:17,960
+zero لغاية π على أربعة نمرة b r تساوي الجذر
+
+274
+00:31:17,960 --> 00:31:29,640
+التربيعي لـ واحد زائد sin 2 θ و θ تتغير من
+
+275
+00:31:29,640 --> 00:31:32,800
+zero إلى π على الجذر 2
+
+276
+00:32:08,100 --> 00:32:12,480
+بنجي الآن للنقطة الثانية من هذا الـ section وهي
+
+277
+00:32:12,480 --> 00:32:17,640
+إيجاد طول المنحنى في الإحداثيات القطبية طبعا احنا
+
+278
+00:32:17,640 --> 00:32:22,540
+في Calculus A أخذنا طول المنحنى في الإحداثيات
+
+279
+00:32:22,540 --> 00:32:27,820
+الديكارتية وإذا بتذكروا كان تكامل من a إلى b للجذر
+
+280
+00:32:27,820 --> 00:32:32,880
+التربيعي لـ 1 زائد dy على dx الكل تربيع كله تكامل
+
+281
+00:32:32,880 --> 00:32:38,620
+بالنسبة إلى dx ما يكافئ الإحداثيات القطبية هو اللي
+
+282
+00:32:38,620 --> 00:32:44,310
+عندنا هذابقول التعريف كالتالي، لو كان الـ R of θ
+
+283
+00:32:44,310 --> 00:32:50,670
+لها مشتقة أولى وهذه المشتقة متصلة، طبعا لو ما
+
+284
+00:32:50,670 --> 00:32:55,210
+كان المنحنى ما هو مش متصل يبقى في هذه الحالة،
+
+285
+00:32:55,210 --> 00:32:59,630
+ما أقدرش دي بتقول اوجد ولا حتى ما أقدر المساحة اللي
+
+286
+00:32:59,630 --> 00:33:03,470
+موجودة تحته ما أقدرش أحسبها يبقى first derivative
+
+287
+00:33:03,470 --> 00:33:07,690
+for θ من Alpha إلى Beta and، لاحظوا النقطة الثانية
+
+288
+00:33:08,210 --> 00:33:13,230
+قال لو النقطة هذه P, R و θ ترسم الـ curve يعني
+
+289
+00:33:13,230 --> 00:33:19,770
+رسمت لي المنحنى أو بيانت لي شكل المنحنى R تساوي F of
+
+290
+00:33:19,770 --> 00:33:27,230
+θ exactly once مرة واحدة as θ runs from alpha to
+
+291
+00:33:27,230 --> 00:33:32,080
+beta لما θ بتتغير من alpha إلى beta يعني أنا روحت
+
+292
+00:33:32,080 --> 00:33:35,980
+على الفترة من Alpha إلى Beta ووجدت أن ارسم المنحنى
+
+293
+00:33:35,980 --> 00:33:40,120
+مرة واحدة مش مرتين ولا ثلاث، لأن لو أعطيتك فترة
+
+294
+00:33:40,120 --> 00:33:43,780
+يمكن نرسم المنحنى مرة ونصف، يمكن مرتين، يمكن
+
+295
+00:33:43,780 --> 00:33:47,600
+ثلاث، الله أعلم، فهو بيقول لي أنا بكون بدي أجيب
+
+296
+00:33:47,600 --> 00:33:52,180
+الطول، يبقى أنا ملتزم في هذه الحالة في فترة
+
+297
+00:33:52,180 --> 00:33:58,560
+ما يكونش عندي إلا المنحنى مكرر مرة واحدة طيب ما فيش
+
+298
+00:33:58,560 --> 00:34:03,320
+تكرار يعني بالمرة بالنسبة للمنحنى يبقى هنا باجي
+
+299
+00:34:03,320 --> 00:34:09,200
+بقول إذا النقطة دي traces  درست رسمت للمنحنى R
+
+300
+00:34:09,200 --> 00:34:15,220
+تساوي F of θ بالضبط مرة واحدة لما θ تتغير من Alpha
+
+301
+00:34:15,220 --> 00:34:19,960
+إلى Beta يبقى طول المنحنى على هذه الفترة هو تكامل
+
+302
+00:34:19,960 --> 00:34:25,160
+من Alpha إلى Beta لـ R تربيع زائد dR على dθ الكل
+
+303
+00:34:25,160 --> 00:34:31,300
+تربيع dθ مشان نقوم بعملية التكامل، بدنا نربع معادلة
+
+304
+00:34:31,300 --> 00:34:37,780
+المنحنى ونربع مشتقة اللي هو معادلة المنحنى، هنجي ل
+
+305
+00:34:37,780 --> 00:34:41,880
+solution ونروح
+
+306
+00:34:41,880 --> 00:34:47,000
+ناخد نمرة A، بالنسبة لنمرة A، تربيعه سهل، يبقى
+
+307
+00:34:47,000 --> 00:34:51,820
+المشكلة في اشتقاقه، بدنا نروح نشتقه يبقى باجي بقوله
+
+308
+00:34:51,820 --> 00:35:00,140
+dR على d θ يساوي ثلاثة cosine تربيع θ على
+
+309
+00:35:00,140 --> 00:35:06,500
+ثلاثة فاهمين؟ في تفاضل الـ cosine اللي هو سالب sin
+
+310
+00:35:06,500 --> 00:35:13,040
+θ على ثلاثة ضرب مشتقة الزاوية اللي هي قد ايش اللي
+
+311
+00:35:13,040 --> 00:35:18,450
+هو ثلث إذا قالت المسألة إلى الشكل التالي ثلث مع
+
+312
+00:35:18,450 --> 00:35:24,790
+ثلاثة الله سهّل عليها بظل السالب cosine تربيع θ
+
+313
+00:35:24,790 --> 00:35:32,630
+على ثلاثة sin θ على ثلاثة الآن بدي اللي هو الـ L
+
+314
+00:35:32,630 --> 00:35:40,730
+فبروح بقوله الـ L يساوي تكامل من Zero لغاية π على
+
+315
+00:35:40,730 --> 00:35:47,370
+أربعة للجذر التربيعي R تربيع بدنا نربع هادي يبقى
+
+316
+00:35:47,370 --> 00:35:53,110
+لـ cos أس أربعة بيصير cos أس أربعة لـ θ
+
+317
+00:35:53,110 --> 00:36:01,010
+على ثلاثة زائد بدنا نربع المشتقة فبيصير cosine أس
+
+318
+00:36:01,010 --> 00:36:07,670
+أربعة θ على ثلاثة cosine تربيع θ على ثلاثة كله
+
+319
+00:36:07,670 --> 00:36:15,110
+على d θ ايش رأيك بدي اخذ cosine تربيع عامل مشترك
+
+320
+00:36:15,110 --> 00:36:20,310
+فبيصير cosine أس أربعة قصدك يبقى هنا أي تكامل من zero
+
+321
+00:36:20,310 --> 00:36:27,480
+لغاية π على أربعة لمن؟ للجذر التربيعي يعني cos
+
+322
+00:36:27,480 --> 00:36:34,060
+أس أربعة θ على ثلاثة عامل مشترك بيظل cos تربيع θ
+
+323
+00:36:34,060 --> 00:36:41,380
+على ثلاثة زائد sin تربيع θ على ثلاثة كله بالنسبة
+
+324
+00:36:41,380 --> 00:36:47,880
+لمن؟ لـ d θ يبقى بدّه يساوي تكامل من Zero لغاية π
+
+325
+00:36:47,880 --> 00:36:53,100
+على أربعة هذا المقدار بين الـ cosine كده؟ واحد واحد
+
+326
+00:36:53,100 --> 00:36:57,460
+صحيح يا مع السلامة بيظل الجذر التربيعي لـ cosine أس
+
+327
+00:36:57,460 --> 00:37:02,640
+4 يبقى cos تربيع بس absolute value وكل كمية مربعة
+
+328
+00:37:02,640 --> 00:37:07,740
+يبقى لا معنى للـ absolute value يبقى cos تربيع
+
+329
+00:37:07,740 --> 00:37:13,200
+لـ θ على ثلاثة دي θ هذه ما أقدرش أكملها إلا
+
+330
+00:37:13,200 --> 00:37:19,440
+أكتبها بدلالة ضعف الزاوية يبقى هذه النصف برا وهي
+
+331
+00:37:19,440 --> 00:37:26,060
+تكامل من zero لـ π على أربعة وهذه واحد زائد cos
+
+332
+00:37:26,060 --> 00:37:32,420
+2 θ على ثلاثة كله بالنسبة إلى d θ يبقى
+
+333
+00:37:32,420 --> 00:37:39,520
+هاي النصف برا وهي θ زائد ثلاثة على اثنين sin
+
+334
+00:37:39,520 --> 00:37:46,800
+2 θ على ثلاثة وهذا كله من zero لغاية π على
+
+335
+00:37:46,800 --> 00:37:54,530
+أربعة عوض والنتيجة كالتالي الإجابة يا سيدي باي
+
+336
+00:37:54,530 --> 00:38:01,430
+ثمانية زائد ثلاثة π يبقى يساوي باي على ثمانية
+
+337
+00:38:01,430 --> 00:38:08,490
+زائد ثلاثة على ثمانية نجي لنمر b من المثال بنفس
+
+338
+00:38:08,490 --> 00:38:15,090
+الطريقة يبقى b بدنا نروح نجيب dR على d θ يبقى
+
+339
+00:38:15,090 --> 00:38:21,390
+R يساوي الجذر التربيعي لواحد زائد sin اثنين θ
+
+340
+00:38:21,390 --> 00:38:29,900
+هذا بدّه يعطيك أن dR على d θ مشتقة الجذر 1 على 2
+
+341
+00:38:29,900 --> 00:38:37,640
+الجذر يبقى 1 على 2 الجذر التربيعي لـ 1 زائد sin 2 θ
+
+342
+00:38:37,640 --> 00:38:44,420
+في تفاضل ما داخل الجذر تفاضل الـ 1 بـ 0 تفاضل الـ sin
+
+343
+00:38:44,420 --> 00:38:54,870
+بـ cos ضرب مشتقة الزاوية يبقى 2 cos 2 θ طيب ايش رأيك
+
+344
+00:38:54,870 --> 00:39:01,450
+نربعها بالمرة يبقى هذه لو روحنا ربعناها بيصير dR
+
+345
+00:39:01,450 --> 00:39:09,770
+على d θ الكل تربيع يساوي أربعة cos تربيع اثنين
+
+346
+00:39:09,770 --> 00:39:14,830
+θ على أربعة أو اثنين هذه بتروح مع اثنين من
+
+347
+00:39:14,830 --> 00:39:21,310
+الأولى وما فيش أربعات على واحد زائد sin اثنين θ
+
+348
+00:39:22,160 --> 00:39:28,800
+الآن بدي اروح أجيب الـ length L يبقى تكامل من zero
+
+349
+00:39:28,800 --> 00:39:36,800
+لغاية π جذر 2 للجذر
+
+350
+00:39:36,800 --> 00:39:41,470
+التربيعي لـ R تربيع بأننا نروح نربع دي، لو
+
+351
+00:39:41,470 --> 00:39:47,630
+ربعنا هذا، ايش بيحصل؟ الجذر مع السلامة يبقى واحد
+
+352
+00:39:47,630 --> 00:39:56,590
+زائد sine اثنين θ زائد dR على d θ الكل تربيع
+
+353
+00:39:56,590 --> 00:40:02,470
+لو cos تربيع اثنين θ على واحد زائد sine
+
+354
+00:40:02,470 --> 00:40:12,040
+اثنين θ كله بالنسبة إلى d θ يساوي تكامل من
+
+355
+00:40:12,040 --> 00:40:17,380
+Zero لغاية π جذر 2 للجذر التربيعي بدأ واحد
+
+356
+00:40:17,380 --> 00:40:23,800
+له المقامات كله مرة واحدة يبقى له مقام كل واحد
+
+357
+00:40:23,800 --> 00:40:29,920
+زائد Sine اثنين θ هذا باعتباره كله على واحد يبقى
+
+358
+00:40:29,920 --> 00:40:36,780
+بيصير هذا كله تربيع بدي افكه يبقى واحد زائد اثنين
+
+359
+00:40:36,780 --> 00:40:45,180
+sin اثنين θ زائد sin تربيع اثنين θ وعندي
+
+360
+00:40:45,180 --> 00:40:51,780
+كمان هنا من زائد cosine تربيع اثنين θ وكل هذا
+
+361
+00:40:51,780 --> 00:40:57,750
+بالنسبة لمن إلى d θ يبقى بدّه يساوي تكامل من zero
+
+362
+00:40:57,750 --> 00:41:05,170
+لـ π جذر 2 للجذر التربيعي طلع لي هذا sin تربيع
+
+363
+00:41:05,170 --> 00:41:11,490
+زائد cos تربيع وعندي كمان واحد بيصير اثنين يبقى
+
+364
+00:41:11,490 --> 00:41:18,450
+اثنين زائد اثنين sin اثنين θ على واحد زائد sin
+
+365
+00:41:18,450 --> 00:41:24,360
+اثنين θ كله بالنسبة إلى d θ يبقى دي بدها
+
+366
+00:41:24,360 --> 00:41:31,780
+تساوي تكامل من zero لـ π جذر 2 للجذر التربيعي
+
+367
+00:41:31,780 --> 00:41:36,540
+بأخذ اثنين عامل مشترك، كده بيظل واحد زائد sin
+
+368
+00:41:36,540 --> 00:41:41,100
+اثنين θ على واحد زائد، مع السلامة بيظلش إلا جذر
+
+369
+00:41:41,100 --> 00:41:49,000
+اثنين فقط كله بالنسبة إلى d θ يبقى النتيجة جذر
+
+370
+00:41:49,000 --> 00:41:56,360
+اثنين θ والكلام هذا من zero لغاية π جذر 2
+
+371
+00:41:56,360 --> 00:42:07,340
+هو يساوي جذر 2 في π جذر 2 ناقص zero يبقى
+
+372
+00:42:07,340 --> 00:42:13,610
+الجواب قد ايش؟ 2 π اللي هو طول المنحنى لحد اني
+
+373
+00:42:13,610 --> 00:42:22,790
+أوقف إليكم أرقام المسائل الخاصة بـ section 11-5 يبقى
+
+374
+00:42:22,790 --> 00:42:35,070
+exercises 11-5 المسائل التالية من 1 ل 28 فقط
+
+375
+00:42:48,820 --> 00:42:52,460
+خلاص شرطات؟ اه باقي فيه section 2 للأسبوع الجاي إن 
+
+376
+00:42:52,460 --> 00:42:53,000
+شاء الله
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d0b697383992bea412d0f08e9445c53a39849129
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ_postprocess.srt
@@ -0,0 +1,1504 @@
+1
+00:00:09,820 --> 00:00:16,020
+بسم الله الرحمن الرحيم هذا ال section يحتوي على
+
+2
+00:00:16,020 --> 00:00:21,260
+نقطتين النقطة الأولى حساب المساحة في الإحداثيات
+
+3
+00:00:21,260 --> 00:00:28,300
+القطبية والنقطة ثانية حساب طول منحنى في الإحداثيات
+
+4
+00:00:28,300 --> 00:00:33,110
+القطبيةلذلك العناون اللي احنا رفعينه الـ Areas and
+
+5
+00:00:33,110 --> 00:00:38,330
+Lengths يبقى المساحات وأطوال المنحنيات في
+
+6
+00:00:38,330 --> 00:00:44,150
+الإحداثيات القطبية هنجي نجسمه إلى نقطتين النقطة
+
+7
+00:00:44,150 --> 00:00:46,750
+الأولى اللي هي المساحات والنقطة الثانية اللي هي
+
+8
+00:00:46,750 --> 00:00:51,360
+أطوال المنحنياتخلّينا مع النقطة الأولى اللي هي ال
+
+9
+00:00:51,360 --> 00:00:57,440
+area in the plane بدنا المساحة في المستوى بقاعد
+
+10
+00:00:57,440 --> 00:01:04,380
+نحسبها بدلالة الإحداثيات القطبيةعطينا تعريفين نقرأ
+
+11
+00:01:04,380 --> 00:01:11,000
+التعريف الأول نحاول نفهمه نرسم هذه المنطقة نحددها
+
+12
+00:01:11,000 --> 00:01:15,860
+بالضبط اللي بدنا الكامل عليها فبقولي the area y
+
+13
+00:01:15,860 --> 00:01:22,280
+على اتنب رسمنا معادل منحنى r تساوي f of theta
+
+14
+00:01:22,280 --> 00:01:30,870
+نفترض جدلا ان هذا المنحنى هو r تساوي f of thetaهذه
+
+15
+00:01:30,870 --> 00:01:36,050
+معادلة المنحنة المذكورة عنها جينا رسمنا الخط θ
+
+16
+00:01:36,050 --> 00:01:41,930
+تساوي alpha فكان الخط θ تساوي alpha بالشكل هذا
+
+17
+00:01:49,570 --> 00:01:55,750
+رسمنا الخط الثاني Alpha تساوي Beta فكان هنا Theta
+
+18
+00:01:55,750 --> 00:02:02,690
+تساوي Beta إذا انحصرت مساحة ما بين المنحنى R تساوي
+
+19
+00:02:02,690 --> 00:02:08,710
+F of Theta عند وين؟ وعند نقطة الاصل مع مين؟ مع
+
+20
+00:02:08,710 --> 00:02:13,910
+الخطين المستقيمينثيتا تساوي ألف وثيتا تساوي بيتا
+
+21
+00:02:13,910 --> 00:02:20,070
+المساحة هذه هي المساحة المظلة للي حديها الرمز
+
+22
+00:02:20,070 --> 00:02:26,930
+capital Aيبقى قيمة هذه المساحة هي تكامل من Alpha
+
+23
+00:02:26,930 --> 00:02:34,650
+إلى Beta لنص R ثربية D ثيتا.يعني بنجي على معادلة
+
+24
+00:02:34,650 --> 00:02:39,010
+منحنها دوا بنردعها، نضربها في نص كامل عليها من
+
+25
+00:02:39,010 --> 00:02:44,170
+Alpha إلى Beta، بنحصل على هذه المساحة.بنقول إن
+
+26
+00:02:44,170 --> 00:02:47,150
+بنجي الحالة التانية أو التعريف التاني لو عندي
+
+27
+00:02:47,150 --> 00:02:52,830
+منحنين، مش منحنة أحد.المنحنين حصروا بينهم مساحة
+
+28
+00:02:52,830 --> 00:03:00,090
+بدي أعرف مقدار هذه المساحة فمثلا لو جينا قولنا هذا
+
+29
+00:03:00,090 --> 00:03:04,310
+theta تساوي zero وهذا theta تساوي pi على اتنين
+
+30
+00:03:04,310 --> 00:03:10,430
+رسمنا المنحنة الأول فكان المنحنة مثلا بالشكل هذا
+
+31
+00:03:10,430 --> 00:03:17,350
+يبقى هذا المنحنة اللي هو R one of thetaالورقن of
+
+32
+00:03:17,350 --> 00:03:23,390
+theta بيعطيني قيم موجبة R بتأخذ قيم موجبة وليس قيم
+
+33
+00:03:23,390 --> 00:03:30,570
+سالبة يبقى أكبر من ال zero بنفس الطريقة R اتنين of
+
+34
+00:03:30,570 --> 00:03:37,950
+theta بدي افترض ان هذا المنحنى هو R اتنين of theta
+
+35
+00:03:38,510 --> 00:03:46,170
+و رسمنا الخط ثيتا تساوي Alpha يبقى هذا ثيتا تساوي
+
+36
+00:03:46,170 --> 00:03:53,270
+Alpha وهذا الخط التاني ثيتا تساوي Betaالان
+
+37
+00:03:53,270 --> 00:03:58,470
+المنحنيين مع الخطين حصروا لي مساحة اللي هي المساحة
+
+38
+00:03:58,470 --> 00:04:06,570
+المظللة بالأسود هذه هيك اللي هسميها المساحة A قال
+
+39
+00:04:06,570 --> 00:04:14,500
+المساحة A هي عبارة عنتكامل من Alpha إلى Beta لنص
+
+40
+00:04:14,500 --> 00:04:24,210
+R2 ترابيع ناقص R1 ترابيع وكله بالنسبة لمن؟ لـDθأو
+
+41
+00:04:24,210 --> 00:04:29,970
+نص R اتنين تربية الـ Dθ التكامل عليها نقص التكامل
+
+42
+00:04:29,970 --> 00:04:35,330
+على نص R والـ Dθ تعالى نشوف هذه الرسمة، لو جاءت
+
+43
+00:04:35,330 --> 00:04:39,090
+ختة التكامل الأول يبقى بيعطيني المساحة ما بين
+
+44
+00:04:39,090 --> 00:04:44,470
+المنحنة هذاعنده نقطة ناصر المظللة والمنطقة البيضة
+
+45
+00:04:44,470 --> 00:04:50,810
+هذه تمام؟ الآن المساحة التانية هذه هي المنطقة
+
+46
+00:04:50,810 --> 00:04:55,150
+البيضة دون المظللة إذا لو طرحت اتنين اتين من بعض
+
+47
+00:04:55,150 --> 00:05:00,650
+بتبقى مين؟ المساحة المظللة يبقى هذا اللي هو
+
+48
+00:05:00,650 --> 00:05:04,570
+العلاقة اللي أطالية حد اللي يستفسر قبل أن ندخل إلى
+
+49
+00:05:04,570 --> 00:05:12,670
+الأمثلة طيب المثال الأولالمثال الأول بيقول ما ياتي
+
+50
+00:05:12,670 --> 00:05:18,950
+example one
+
+51
+00:05:18,950 --> 00:05:23,070
+بيقول
+
+52
+00:05:23,070 --> 00:05:32,710
+find the area of the region find the area of the
+
+53
+00:05:32,710 --> 00:05:37,530
+region بدنا نجداش مساحة المنطقة inside
+
+54
+00:05:48,050 --> 00:05:50,850
+داخل المنسكيت
+
+55
+00:05:55,150 --> 00:05:58,550
+اللي وصلنا من بارح طبعا في المحاضرة الماضية يوم
+
+56
+00:05:58,550 --> 00:06:06,930
+أمس اللي هو R تربيع يسوى اتنين A تربيع كوصين اتنين
+
+57
+00:06:06,930 --> 00:06:11,410
+ثيتا وال A greater than zero
+
+58
+00:06:19,110 --> 00:06:35,470
+هذه كانت في محاضرة الأمس لما
+
+59
+00:06:35,470 --> 00:06:49,070
+رسمناها
+
+60
+00:06:49,070 --> 00:06:55,880
+كانومن هنا طلع الشكل هداك يبقى هذه رسمة المنحنة
+
+61
+00:06:55,880 --> 00:07:01,060
+اللى رسمناها يوم امس طبعا المنحنة متمثل بالنسبة
+
+62
+00:07:01,060 --> 00:07:05,920
+لمحور X متمثل بالنسبة لمحور Y متمثل بالنسبة لل
+
+63
+00:07:05,920 --> 00:07:11,980
+origin كذلك طب اذا انا لو جبت مساحة ورقة واحدة فقط
+
+64
+00:07:11,980 --> 00:07:16,360
+وضربتها في اتنين بكون حصلت على المساحة المطلوبةو
+
+65
+00:07:16,360 --> 00:07:20,460
+احنا نقول له نص ورقة و نضربها في قداش اربعة نقول
+
+66
+00:07:20,460 --> 00:07:25,200
+له مظبوط برضه كلامك صح قال لي لو روحت اخدت المساحة
+
+67
+00:07:25,200 --> 00:07:32,020
+هذه فقط لغية و ان هنا ثيتا تساوي زيرو ستتغير الى
+
+68
+00:07:32,020 --> 00:07:37,740
+ثيتا ديانها لبي على اربعة لو رجعنا بنرسم لامبارح
+
+69
+00:07:37,740 --> 00:07:41,960
+رسمت في الدارهتلاقي عند الـ pi على 4 بتاخد قداش
+
+70
+00:07:41,960 --> 00:07:49,240
+القيمة صفر و عند الصفر بتاخد القيمة 2A تربيع، يعني
+
+71
+00:07:49,240 --> 00:07:57,280
+إحداثيات النقطة هذه، اللي هي 2A تربيع و Zeroبعدها
+
+72
+00:07:57,280 --> 00:08:01,000
+اللي بتوصل عند ال باي على أربعة بيصير قداش اتنين
+
+73
+00:08:01,000 --> 00:08:06,760
+في باي على أربعة بتسعين جتا تسعين بزيرو بتكون ال R
+
+74
+00:08:06,760 --> 00:08:11,420
+تساوي زيرو عند ال باي على أربعة يبقى تكامل من صفر
+
+75
+00:08:11,420 --> 00:08:17,360
+إلى باي على أربعة وضد ربع في أربعة نحصل على مين
+
+76
+00:08:17,360 --> 00:08:21,980
+على المطابق او لو بدك تاخد الورقة كلها سيكون
+
+77
+00:08:21,980 --> 00:08:30,550
+التغير manسالة باي على أربعة إلى مين إلى باي على
+
+78
+00:08:30,550 --> 00:08:34,130
+أربعة سيئا هذه والله هذه معناها مشكلة على أي حال
+
+79
+00:08:34,130 --> 00:08:38,730
+يبقى بدنا نيجي نقوله ال area المطلوبة بده يساوي
+
+80
+00:08:38,730 --> 00:08:44,790
+تكامل لنصف Alpha إلى Beta يبقى من Zero لباي على
+
+81
+00:08:44,790 --> 00:08:50,230
+أربعة يبقى هذه جابتلي ربع المساحة فبالتالي بروح
+
+82
+00:08:50,230 --> 00:08:55,690
+بضرب التكامل كله في أربعةطيب R تربيع اروح اربع هذه
+
+83
+00:08:55,690 --> 00:09:01,310
+ولا جاهزة؟ جاهزة مية المية بس لو كانت R تساوي بروح
+
+84
+00:09:01,310 --> 00:09:06,510
+اربعها لكن كونها R تربيع يبقى جاهزة وخالصة اتنين A
+
+85
+00:09:06,510 --> 00:09:11,810
+تربيع كوسين اتنين ثيتا كله بالنسبة للعميم لديه
+
+86
+00:09:11,810 --> 00:09:18,210
+ثيتا اظن اتنين مع اتنين بتروحبظل يساوي اربعة تكامل
+
+87
+00:09:18,210 --> 00:09:24,510
+من zero لغاية pi على اربعة ل cosine اتنين theta d
+
+88
+00:09:24,510 --> 00:09:31,550
+theta و بطلع ال a تربيع برا هيها بشكل انا ده اربعة
+
+89
+00:09:31,550 --> 00:09:37,980
+a تربيعهذا الكلام بده يساوي اربعة ا تربيع و تفاضل
+
+90
+00:09:37,980 --> 00:09:43,260
+cosine بsin اتنين ثيتا على اتنين و الحكي هذا من
+
+91
+00:09:43,260 --> 00:09:50,500
+zero لغاية pi على اربعة يبقى اتنين ا تربيع فيه
+
+92
+00:09:50,500 --> 00:09:56,140
+sign pi على اربعة بيضل هنا sign pi على اتنين جه
+
+93
+00:09:56,140 --> 00:10:03,100
+تسعين بواحد ناقص zero يبقى الجواب اتنين ا تربيع
+
+94
+00:10:05,730 --> 00:10:10,450
+طيب هذا سؤال مباشر مافيش فيه فكرة إلا تحديد حدود
+
+95
+00:10:10,450 --> 00:10:18,170
+التكامل نتقل الكل شوية يبقى example 2 example 2
+
+96
+00:10:18,170 --> 00:10:22,970
+بيقول ما ي define the area of the region find the
+
+97
+00:10:22,970 --> 00:10:32,870
+area of the region بدنا مساحة المنطقة نمرى ايه؟
+
+98
+00:10:42,870 --> 00:11:00,930
+R يساوي اتنين نقص
+
+99
+00:11:00,930 --> 00:11:14,850
+اتنين في cos زاوية ثتانمرى بيه inside the circle
+
+100
+00:11:14,850 --> 00:11:24,070
+داخل الدائرة and outside the cardioid
+
+101
+00:11:53,420 --> 00:11:57,120
+بنرجع لسؤالنا مرة ثانية بيقول لي هاتلي مساحة
+
+102
+00:11:57,120 --> 00:12:02,980
+المنطقة المرأة أحد المحصورة بين الدائرة R تساوي
+
+103
+00:12:02,980 --> 00:12:08,080
+اتنين والكاردويد R يساوي اتنين نقص اتنين كوساين
+
+104
+00:12:08,080 --> 00:12:12,880
+الزاوية ثتا الأمر الثاني بيبقى المساحة اللي موجودة
+
+105
+00:12:12,880 --> 00:12:18,020
+داخل الدائرة وخارج الكاردويد يبقى هدول سالم
+
+106
+00:12:18,020 --> 00:12:23,120
+والفاصلين عن بعض تماما يبقى أول خطوة بدنا نعملها
+
+107
+00:12:23,530 --> 00:12:28,150
+بدنا نروح نجيب نقاط التقاطة مدن فين حصار ما بين
+
+108
+00:12:28,150 --> 00:12:32,230
+الاتنين، معناته بدنا نجيب نقاط التقاطة كيف بقين
+
+109
+00:12:32,230 --> 00:12:36,510
+نجيب نقاط التقاطة بين منحنيين في الأحداثيات
+
+110
+00:12:36,510 --> 00:12:41,050
+الكارتيزية؟ بسويهم بعض، و هنا نفس القصة، بروح
+
+111
+00:12:41,050 --> 00:12:45,590
+بنسوي المنحنيين ببعض، إذا لو سويتهم ببعض، بصير عند
+
+112
+00:12:45,590 --> 00:12:51,510
+مين هنا؟ اتنين ناقص اتنين كوسين اتنين ثيتا، بده
+
+113
+00:12:51,510 --> 00:12:57,020
+يساوي اتنينأو ان شيرتم فاقولوا اتنين كوصاين ثيتا
+
+114
+00:12:57,020 --> 00:13:00,840
+بده يساوي قداش؟ Zero بده اجيب هذا هنا وهذا على
+
+115
+00:13:00,840 --> 00:13:07,380
+الناحية التانية ومنها كوصاين ثيتا بده يساوي Zero
+
+116
+00:13:07,380 --> 00:13:11,580
+يبقى هذا معناته ان ثيتا تساوي من الزرع اللي جيب
+
+117
+00:13:11,580 --> 00:13:17,630
+تماما يساوي صفرزائد او ناقص باى على اتنين يبقى
+
+118
+00:13:17,630 --> 00:13:24,950
+زائد او ناقص باى على اتنين تمام اذا عند الرسم بدي
+
+119
+00:13:24,950 --> 00:13:29,490
+الاحظ هذا الكلام بدي تقطع عند الزاوية اللى بتبقى
+
+120
+00:13:29,490 --> 00:13:33,910
+باى على اتنين طيب سؤال قداش بتكون R؟
+
+121
+00:13:36,530 --> 00:13:42,730
+النقطة الاساسية للدائرة R هي R المعين للكاردويد
+
+122
+00:13:42,730 --> 00:13:47,730
+مظبوط نفس الطول فبقى R عندي يساوي اتنين ففعلا R
+
+123
+00:13:47,730 --> 00:13:50,590
+تساوي اتنين ففعلا لو جاء الكاردويد و حطنا بايع
+
+124
+00:13:50,590 --> 00:13:54,610
+اتنين او سالب بايع اتنين بيضل طول كده اتنين لان
+
+125
+00:13:54,610 --> 00:13:58,450
+كوسين صفر كوسين بايع على اتنين او سالب بايع اتنين
+
+126
+00:13:58,450 --> 00:14:05,090
+بصفر بيضلش الا اتنينيبقى التقطة هيكون عند النقطتين
+
+127
+00:14:05,090 --> 00:14:14,810
+يبقى هنا بروح بقول له that intersections تقطت at
+
+128
+00:14:14,810 --> 00:14:24,570
+the points عند النقطتين اتنين و by على اتنين and
+
+129
+00:14:24,570 --> 00:14:33,120
+اتنين و سالب by على اتنينهيبقى اتنين سالب باية على
+
+130
+00:14:33,120 --> 00:14:39,380
+اتنين لو حبينا نرسم الرسمتنا دول مشان نحدد شغلنا
+
+131
+00:14:39,380 --> 00:14:45,380
+بدقة فبجي بقول هاي المحاورالشكل اللي عندنا هذا هيك
+
+132
+00:14:45,380 --> 00:14:54,900
+وهذا θ تساوي zero وهذا θ تساوي باي على اتنين لو
+
+133
+00:14:54,900 --> 00:14:59,980
+روحنا رسمنا الكاردويد باجي بطلع مكتوب بدلالة ال
+
+134
+00:14:59,980 --> 00:15:05,050
+cosine والإشارة السلبة لمينللـ cosine إذا الرسم
+
+135
+00:15:05,050 --> 00:15:11,490
+كله جهة مين؟ جهة محور X السالم زي ما رسمنا بارح
+
+136
+00:15:11,490 --> 00:15:17,370
+بالضبط تماما يبقى الكاردويد هيأخذ الشكل التالي
+
+137
+00:15:17,370 --> 00:15:20,690
+بهذا
+
+138
+00:15:20,690 --> 00:15:28,050
+الشكل ابتدينا مين؟الدائرة مركزها على نقطة الاصل و
+
+139
+00:15:28,050 --> 00:15:34,250
+نصف قطرة هي تساوي كم؟ اتنين والتقاطع سيتم وين؟
+
+140
+00:15:34,250 --> 00:15:42,630
+التقاطع سيتم عند النقطة اللي اتنين و by على اتنين
+
+141
+00:15:44,420 --> 00:15:49,780
+إتنين وباي على اتنين يبقى هذه النقطة اللي هي اتنين
+
+142
+00:15:49,780 --> 00:15:55,960
+وباي على اتنين وهذه النقطة اللي هي اتنين وسالب باي
+
+143
+00:15:55,960 --> 00:16:01,840
+على اتنين يبقى الدائرة هتجي لنص قطرها يساوي اتنين
+
+144
+00:16:01,840 --> 00:16:09,680
+الشكل اللي عندنا هذا هيك يبقى هاي الدائرة اللي
+
+145
+00:16:09,680 --> 00:16:16,750
+عندنا تمامطيب، الان جالي بدي المساحة المطلوب الأول
+
+146
+00:16:16,750 --> 00:16:20,970
+المحصورة ما بين الاتنين، هي المساحة مين؟ ليه دي
+
+147
+00:16:20,970 --> 00:16:26,290
+عليا هذه؟ طيب، نسأل السؤال التالي، هل المنحنة
+
+148
+00:16:26,290 --> 00:16:33,520
+متمثل بالنسبة لمحور X؟كساية من البارح يبقى متماتلة
+
+149
+00:16:33,520 --> 00:16:38,000
+تمام و الدائرة متماتلة كمان يعني النصف العلوي زي
+
+150
+00:16:38,000 --> 00:16:43,360
+النصف السفلي إذا أنا لو جبت النصف العلوي للمساحة
+
+151
+00:16:43,360 --> 00:16:46,680
+المطلوبة وضربته في اتنين بكون خلصنا من الموضوع
+
+152
+00:16:46,680 --> 00:16:51,840
+تمام؟ وين المساحة اللي فوق ليه المساحة اللي عندنا
+
+153
+00:16:51,840 --> 00:16:58,800
+هذه كلها؟هذا النصف العلوي، مظبوط؟ يبقى لو ضربت هذه
+
+154
+00:16:58,800 --> 00:17:03,780
+المساحة في اتنين بيتم المطلوب طيب حدد المساحة بدقة
+
+155
+00:17:03,780 --> 00:17:11,240
+اكتر بقولك اه ايش رأيك في المساحة المظللة هذه؟ اه
+
+156
+00:17:11,240 --> 00:17:17,220
+لو جيت اخدت من النقطة هذه R و جيت طالع للمحيط هذه
+
+157
+00:17:17,220 --> 00:17:23,050
+نقطة تقع على مين؟على الكاردويد، اذا انا لو جيت
+
+158
+00:17:23,050 --> 00:17:29,850
+قولت نص R تربية وكملت عليها من عن θ تساوي zero لعن
+
+159
+00:17:29,850 --> 00:17:35,070
+θ تساوي بيعت إن بكون جيبت المساحة المظلة للصغيرة
+
+160
+00:17:35,070 --> 00:17:39,530
+هذه فقط، لا غير، صحيح ولا لا؟الان بدي اروح اجيب
+
+161
+00:17:39,530 --> 00:17:44,670
+المساحة التانية هذه هه هه انا افرجتهم عن بعض في
+
+162
+00:17:44,670 --> 00:17:50,070
+الشكل المساحة التانية هذه بدك تكامل من theta تساوي
+
+163
+00:17:50,070 --> 00:17:58,950
+ل theta تساوي كده؟ باي let me أرسم خط هيك هيك يقطع
+
+164
+00:17:58,950 --> 00:18:06,790
+المنطقة الثانية من نقطة الأصل إلى محيطالدائرة يبقى
+
+165
+00:18:06,790 --> 00:18:12,130
+المنحنى التانى هو اتنين وليس الكاردويت اذا باجي
+
+166
+00:18:12,130 --> 00:18:20,290
+بقوله ال area المطلوبة في نمرة A هي عبارة عن تكامل
+
+167
+00:18:20,290 --> 00:18:25,070
+من Alpha إلى Beta يعني من Theta تساوي Zero إلى
+
+168
+00:18:25,070 --> 00:18:31,550
+Theta تساوي Pi على اتنين لنص جينا نقول له هذا هو
+
+169
+00:18:31,550 --> 00:18:35,600
+المنحنى الكاردويتالكاردويد اللي هو اتنين ناقص
+
+170
+00:18:35,600 --> 00:18:42,640
+اتنين كوساين ثيتا يبقى اتنين ناقص اتنين كوساين
+
+171
+00:18:42,640 --> 00:18:51,660
+ثيتا لكل تربيع هذا اليزي الأول دي ثيتا زائدتكامل
+
+172
+00:18:51,660 --> 00:18:58,200
+جينا لمين للدائرة من باي على اتنين الى باي من باي
+
+173
+00:18:58,200 --> 00:19:08,260
+على اتنين الى باي لنص اتنين تربيع دي ثتر اجمل
+
+174
+00:19:08,260 --> 00:19:13,940
+مسحتين نضربها في اتنين هاي بدنا نضرب التكاملات
+
+175
+00:19:13,940 --> 00:19:21,590
+لاتنين كله في اتنين وهذه في اتنين بتم المطلببكون
+
+176
+00:19:21,590 --> 00:19:27,730
+فعلا جيبنا المساحة الكلية المطلوبة طيب نصف اتنين
+
+177
+00:19:27,730 --> 00:19:32,970
+مع السلامة يبقى بصير تكامل من zero لغاية πاي على
+
+178
+00:19:32,970 --> 00:19:39,250
+اتنين للاربعة ناقص تمانية كوصين الزاوية ثيتا زائد
+
+179
+00:19:39,250 --> 00:19:48,370
+اربعة كوصين تربية ثيتا كله في دي ثيتازائد تكامل من
+
+180
+00:19:48,370 --> 00:19:55,250
+باي على اتنين إلى باي لمن لا لاتنين دي نص مع اتنين
+
+181
+00:19:55,250 --> 00:19:56,530
+لاربعة دي ثيتا
+
+182
+00:19:59,320 --> 00:20:03,960
+يبقى هذا الكلام يساوي، إيش رايك بتاخد أربعة برا
+
+183
+00:20:03,960 --> 00:20:09,160
+عامل مشترك؟ يبقى هاي أربعة برا، بضل تكامل من zero
+
+184
+00:20:09,160 --> 00:20:14,740
+لπi على اتنين لواحد ناقص اتنين كوصين الزاوية تيتا،
+
+185
+00:20:14,740 --> 00:20:21,180
+هذه كوصين تربية ليه النص في واحدزائد كوصين اتنين
+
+186
+00:20:21,180 --> 00:20:29,980
+ثيتا كله بالنسبة الى D ثيتا وهذا زائد اربعة ثيتا
+
+187
+00:20:29,980 --> 00:20:36,330
+من باي على اتنين لغاية باييبقى النتيجة هي أربعة
+
+188
+00:20:36,330 --> 00:20:42,150
+برا وهي تكمل من zero لπاية على اتنين لواحد ناقص
+
+189
+00:20:42,150 --> 00:20:47,410
+اتنين cosine الزاوية ثيتا مش واحد بيصير و نص بجهده
+
+190
+00:20:47,410 --> 00:20:53,830
+بيصير تلاتة على اتنينواحد صحيح وهنا نص يبقى واحد و
+
+191
+00:20:53,830 --> 00:20:59,510
+نص ثلاثة على اتنين هذه نزلناها زي ما هي زائد نص
+
+192
+00:20:59,510 --> 00:21:06,510
+cosine اتنين ثيتا كله في دي ثيتا وهذه زائد اربعة
+
+193
+00:21:06,510 --> 00:21:15,210
+في باي ناقص باي على اتنينإن كامل هي أربعة برا وهي
+
+194
+00:21:15,210 --> 00:21:20,930
+تلاتة على اتنين ثيتا ناقص اتنين في ال sign الزاوية
+
+195
+00:21:20,930 --> 00:21:29,130
+ثيتا زائد sign اتنين ثيتا على أربعة كله من zero
+
+196
+00:21:29,130 --> 00:21:35,430
+لغاية باي على اتنين زائد هدا بيظل باي على اتنين في
+
+197
+00:21:35,430 --> 00:21:40,710
+أربعة اللي هو باتنين بايعوض بحدود التكامل واجمع
+
+198
+00:21:40,710 --> 00:21:48,530
+وإليك نتيجة مباشرة يبقى نتيجة التكامل هذه بيصير
+
+199
+00:21:48,530 --> 00:21:57,930
+خمسة by ناقص تمانية يساوي خمسة by ناقص تمانية هذا
+
+200
+00:21:57,930 --> 00:22:02,590
+المطلوب الأول بدنا نروح للمطلوب الثاني اللي هو
+
+201
+00:22:02,590 --> 00:22:03,430
+نمربي
+
+202
+00:22:15,990 --> 00:22:21,310
+نمرى بيه، بيقول لي ايش؟ بيقول لي بدنا المساحة اللي
+
+203
+00:22:21,310 --> 00:22:26,590
+داخل الدائرة و برا الكاردويد، هاي الكاردويد، تمام؟
+
+204
+00:22:26,590 --> 00:22:31,270
+اللي برا، يبقى المنطقة هذه، داخل الدائرة و خارج
+
+205
+00:22:31,270 --> 00:22:36,950
+مين؟ خارج الكاردويد، إذا بنفس الطريقة، بيروح أخد
+
+206
+00:22:36,950 --> 00:22:41,450
+نصها و أضربه في اتنين بسبب التماتل، إذا لو جيت
+
+207
+00:22:41,450 --> 00:22:45,090
+لهذه المنطقة المغللة كلها، هذه
+
+208
+00:22:57,400 --> 00:23:02,040
+بنزيله لغاية باية اتنين يبقى بدنا نكامل طيب بدي
+
+209
+00:23:02,040 --> 00:23:08,240
+ارسم خط من نقطة الاصل بحتي يقطع منطقتي التكامل
+
+210
+00:23:08,240 --> 00:23:16,010
+يبقى لو جيت قولت هذا الخط الأزرق الغامقهذا قط
+
+211
+00:23:16,010 --> 00:23:22,130
+الأزرق الغامق يبقى هذه تعتبر ا ر واحد وهذه تعتبر ا
+
+212
+00:23:22,130 --> 00:23:29,010
+ر اتنين وهذه theta تتغير من zero لغاية pi على
+
+213
+00:23:29,010 --> 00:23:35,830
+اتنين يبقى ال area المطلوبة يساوي اتنين في تكامل
+
+214
+00:23:35,830 --> 00:23:45,260
+من zero لغاية pi على اتنين لنص فيعارف اتنين تربية
+
+215
+00:23:45,260 --> 00:23:52,220
+ليها مساحة مين؟ دائرة، يبقى هذا اتنين لكل تربية،
+
+216
+00:23:52,220 --> 00:23:57,700
+ناقص، اراحة التربية اللي هو الكاردويد يبقى اتنين
+
+217
+00:23:57,700 --> 00:24:04,960
+ناقص اتنين cos θ لكل تربية وكل هذا بنسبة إلى مين؟
+
+218
+00:24:04,960 --> 00:24:11,920
+إلى dθهذا بده يساوي ال area ايه تساوي نص مع اتنين
+
+219
+00:24:11,920 --> 00:24:17,380
+الله يسهل عليها بظل تكمل من zero الى πاي على مين
+
+220
+00:24:17,380 --> 00:24:26,620
+باي على اتنين للاربعة ناقص كمان اربعة زائد تمانية
+
+221
+00:24:26,620 --> 00:24:35,100
+كوصين الزاوية ثيتا ناقص اربعة كوصين تربية ثيتاكله
+
+222
+00:24:35,100 --> 00:24:40,260
+بالنسبة إلى مين لديه تيتا هذه أربعة وهذه فكرتها
+
+223
+00:24:40,260 --> 00:24:48,240
+ودخلت إشارة السالب جوا يبقى صارت ناقص زائد ناقص
+
+224
+00:24:48,240 --> 00:24:53,720
+طيب الأربعتين هذول مع السلامة يبقى بظل عند مين
+
+225
+00:24:53,720 --> 00:25:03,950
+اللي هو تكاملمن 0 ل π على 2 ل 8 cos θ ناقص 4 cos
+
+226
+00:25:03,950 --> 00:25:09,910
+تربيه هذه بنفس الطريقة هي عبارة عن نصف في مين في
+
+227
+00:25:09,910 --> 00:25:16,940
+واحدزاد كوسين اتنين ثيتا كله بالنسبة الى D ثيتا
+
+228
+00:25:16,940 --> 00:25:21,480
+يبقى آلة المثلة تكامل من zero to pi على اتنين
+
+229
+00:25:21,480 --> 00:25:30,440
+لتمانية كوسين ثيتا ناقص اتنين ناقص اتنين كوسين
+
+230
+00:25:30,440 --> 00:25:37,520
+اتنين ثيتا كله بالنسبة الى D ثيتانص في أربعة
+
+231
+00:25:37,520 --> 00:25:42,420
+باتنين صار سالي باتنين و سالي باتنين cos مش ضايق
+
+232
+00:25:42,420 --> 00:25:49,420
+لإلا كامل يبقى لو كاملنا بصير تمانية sin θ ناقص
+
+233
+00:25:49,420 --> 00:25:55,620
+اتنين ثيتا ناقص sin اتنين ثيتا على اتنين بتروح مع
+
+234
+00:25:55,620 --> 00:26:01,590
+الاتنين و الكلام هذا كلهمن zero لغاية باي على
+
+235
+00:26:01,590 --> 00:26:06,710
+اتنين هو يساوي عند ال باي على اتنين بواحد يبقى
+
+236
+00:26:06,710 --> 00:26:13,610
+بتمانية وهنا ناقص اتنين في باي على اتنين هاي باي
+
+237
+00:26:13,610 --> 00:26:19,670
+على اتنين تمام وهنا ناقص باي على اتنين بصير ال
+
+238
+00:26:19,670 --> 00:26:27,780
+sign باي ب zero و بعدها zeroيبقى كله بـ zero يبقى
+
+239
+00:26:27,780 --> 00:26:33,420
+الجواب يساوي تمانية ناقص باي هذه هي المساحة
+
+240
+00:26:33,420 --> 00:26:38,320
+المطلوبة حاجة أيه اللي يستفسر هنا قبل أن نكمل؟ بس
+
+241
+00:26:38,320 --> 00:26:42,980
+اقرر اللي حددت بي اقرر بي و لا تدبس في بي مالها
+
+242
+00:26:42,980 --> 00:26:50,970
+بي؟مش انت هاي المنطقة المظلة هي منطقة التكامل،
+
+243
+00:26:50,970 --> 00:26:55,890
+يعني الأولى هذه انتهينا، يعني هذه هه، كلها انتهينا
+
+244
+00:26:55,890 --> 00:27:00,470
+منها في الحالة الأولى، هذه كلها انتهينا منها،
+
+245
+00:27:00,470 --> 00:27:08,290
+شايف؟ يبقى الخط الأزرق الغامق هذا ههكويس؟ بده يقطع
+
+246
+00:27:08,290 --> 00:27:12,130
+منطقة التكامل عند النقطة الأولى هذه صحيح ولا لا؟
+
+247
+00:27:12,130 --> 00:27:17,530
+هذه عالميا على ال cardioid صحيح ولا لا؟ يبقى هذه
+
+248
+00:27:17,530 --> 00:27:23,330
+اعتبر R الصغيرة R الكوبرة اللي هو لمن يقطع المنحنة
+
+249
+00:27:23,330 --> 00:27:27,230
+التانية عند النقطة دي اللي هي الدائرة يبقى بقول R
+
+250
+00:27:27,230 --> 00:27:33,660
+اتنين هي معادلة الدائرة وR واحد هي معادلةهذا كله
+
+251
+00:27:33,660 --> 00:27:38,440
+نقربه في اتنين بيعطينا المساحة المطلوب. حد يلغي
+
+252
+00:27:38,440 --> 00:27:40,720
+استفسار تاني؟
+
+253
+00:28:02,790 --> 00:28:08,530
+ننتقل إلى النقطة الثانية من هذا ال section وهي نمر
+
+254
+00:28:08,530 --> 00:28:20,430
+اتنين ال length of a polar curve
+
+255
+00:28:20,430 --> 00:28:29,650
+قول المنحنة في الأحداثيات القطبية definition f
+
+256
+00:28:31,160 --> 00:28:39,180
+الـ r تساوي f of theta has a continuous has a
+
+257
+00:28:39,180 --> 00:28:52,220
+continuous first derivative first derivative first
+
+258
+00:28:52,220 --> 00:29:01,470
+derivative for اللي هو thetaأكبر من أو يساوي ألف
+
+259
+00:29:01,470 --> 00:29:07,510
+أو أقل من أو يساوي Beta وإذا
+
+260
+00:29:07,510 --> 00:29:13,370
+كانت
+
+261
+00:29:13,370 --> 00:29:22,770
+النقطة R وثيتا P of R وثيتا it traces the curve
+
+262
+00:29:28,300 --> 00:29:40,340
+رسمت لي L منحنى R تساوي F of theta exactly once
+
+263
+00:29:40,340 --> 00:29:54,120
+بالضبط مرة واحدة as theta runs from alpha
+
+264
+00:29:54,120 --> 00:30:01,790
+to betathen the
+
+265
+00:30:01,790 --> 00:30:15,170
+length of the curve طول المنحنة is الو
+
+266
+00:30:15,170 --> 00:30:23,110
+يساوي تكامل من alpha إلى beta للجذر التربيعي للR
+
+267
+00:30:23,110 --> 00:30:30,680
+تربيع زائد DRعلى d theta لكل تربيع في main في d
+
+268
+00:30:30,680 --> 00:30:38,080
+theta example find
+
+269
+00:30:38,080 --> 00:30:42,100
+the
+
+270
+00:30:42,100 --> 00:30:51,340
+length of the following curves
+
+271
+00:30:53,460 --> 00:31:00,480
+بنطول كل من المنحنيات التالية نمرة a r تساوي
+
+272
+00:31:00,480 --> 00:31:09,520
+cosine تكعيب ل theta على تلاتة و theta تتغير من
+
+273
+00:31:09,520 --> 00:31:17,960
+zero لغاية pi على أربع نمرة bارتو ساوي الجدري
+
+274
+00:31:17,960 --> 00:31:29,640
+التربيعي لواحد زائد صين اتنين ثيتا وثيتا تتغير من
+
+275
+00:31:29,640 --> 00:31:32,800
+zero إلى by الجدري اتنين
+
+276
+00:32:08,100 --> 00:32:12,480
+بنجي الآن للنقطة الثانية من هذا ال section وهي
+
+277
+00:32:12,480 --> 00:32:17,640
+إيجاد طول المنحنة في الإحداثيات القطبية طبعا احنا
+
+278
+00:32:17,640 --> 00:32:22,540
+في calculus A أخدنا طول المنحنة في الإحداثيات
+
+279
+00:32:22,540 --> 00:32:27,820
+القارتزية وإذا بتذكرواكان تكامل من a إلى b الجدرى
+
+280
+00:32:27,820 --> 00:32:32,880
+التربية إلى 1 زائد dy على dx لكل تربية كله تكامل
+
+281
+00:32:32,880 --> 00:32:38,620
+بالنسبة إلى dx ما يكافف الأحداثيات القطبية هو اللي
+
+282
+00:32:38,620 --> 00:32:44,310
+عندنا هذابقول التعليف كالتالي، لو كان الـR of θ
+
+283
+00:32:44,310 --> 00:32:50,670
+إلها مشتقة أولى وهذه المشتقة متاصلة، طبعا لو ما
+
+284
+00:32:50,670 --> 00:32:55,210
+كان الملحانة ما هواش متاصل يبقى في هذه الحالة،
+
+285
+00:32:55,210 --> 00:32:59,630
+ماجدرش دي بتقول ابتدع ولا حتى ماجدر المساحة اللي
+
+286
+00:32:59,630 --> 00:33:03,470
+موجودة تحتيه ماجدرش أحسبها يبقى first derivative
+
+287
+00:33:03,470 --> 00:33:07,690
+for θ من Alpha إلى Beta and، لاحظة النقطة التانية
+
+288
+00:33:08,210 --> 00:33:13,230
+قال لو النقطة هذي P, R و θ ترسي ال curve يعني
+
+289
+00:33:13,230 --> 00:33:19,770
+رسمتلي المنحنة او بيانتلي شكل المنحنة R تساوي F of
+
+290
+00:33:19,770 --> 00:33:27,230
+θ exactly once مرة واحدة as θ runs from alpha to
+
+291
+00:33:27,230 --> 00:33:32,080
+beta لما θ بتتغير من alpha إلى betaيعني انا روحت
+
+292
+00:33:32,080 --> 00:33:35,980
+على الفترة من Alpha إلى Beta وجدت ان ارتسم المنحنى
+
+293
+00:33:35,980 --> 00:33:40,120
+مرة واحدة مش مرتين ولا تلاتة، لأن لو اعطيتك فترة
+
+294
+00:33:40,120 --> 00:33:43,780
+يمكن نرسم المنحنى مرة و نص، يمكن مرتين، يمكن
+
+295
+00:33:43,780 --> 00:33:47,600
+تلاتة، الله أعلم، فهو بيقول لي أنا بكون بدي أجيب
+
+296
+00:33:47,600 --> 00:33:52,180
+الطول، يبقى أنا ملتزم في هذه الحالة في فترة
+
+297
+00:33:52,180 --> 00:33:58,560
+مايكونش عندي إلا المنحنى مكرر مرة واحدةطيب مافيش
+
+298
+00:33:58,560 --> 00:34:03,320
+تكرار يعني بالمرة بالنسبة للمنحنة يبقى هنا باجي
+
+299
+00:34:03,320 --> 00:34:09,200
+بقول إذا النقطة دي traces دكيرة رسمت للمنحنة R
+
+300
+00:34:09,200 --> 00:34:15,220
+تساوي F of θ بضبط مرة واحدة لما كت تتغير من Alpha
+
+301
+00:34:15,220 --> 00:34:19,960
+إلى Beta يبقى طول المنحنة على هذه الفترة هو تكامل
+
+302
+00:34:19,960 --> 00:34:25,160
+من Alpha إلى Beta لR تربية زائد DR على Dθ الكل
+
+303
+00:34:25,160 --> 00:34:31,300
+تربية Dθمشان نقوم بعملية التكمل، بدنا نربع معادلة
+
+304
+00:34:31,300 --> 00:34:37,780
+المنحنة ونربع مشتقة اللي هو معادلة المنحنة، هنجي ل
+
+305
+00:34:37,780 --> 00:34:41,880
+solution ونروح
+
+306
+00:34:41,880 --> 00:34:47,000
+ناخد نمرة A، بالنسبة لنمرة A، تربيعه سهل، يبقى
+
+307
+00:34:47,000 --> 00:34:51,820
+المشكلة في اشتقاقه، بدنا نروح نشتقهيبقى باجي بقوله
+
+308
+00:34:51,820 --> 00:35:00,140
+DR على D ثيتا يساوي تلاتة cosine تربيع ثيتا على
+
+309
+00:35:00,140 --> 00:35:06,500
+تلاتة فاهمين؟ في تفاضل ال cosine اللي هو سالب sin
+
+310
+00:35:06,500 --> 00:35:13,040
+ثيتا على تلاتة ضرب مشتقة الزاوية اللي هي قداش اللي
+
+311
+00:35:13,040 --> 00:35:18,450
+هو تلتإذا قالت المسألة إلى الشكل التالي تلت مع
+
+312
+00:35:18,450 --> 00:35:24,790
+ثلاثة الله سهل عليها بظلب السالب cosine تربية ثيتا
+
+313
+00:35:24,790 --> 00:35:32,630
+ع تلاتة sin ثيتا على ثلاثةالان بدي اللى هو ال L
+
+314
+00:35:32,630 --> 00:35:40,730
+فبروح بقوله ال L يسوى تكامل من Zero لغاية Pi على
+
+315
+00:35:40,730 --> 00:35:47,370
+أربعة للجذر التربيهي R تربيه بده ربع هادي يبقى
+
+316
+00:35:47,370 --> 00:35:53,110
+لابراهيم رابعه بيصير Cos واس قداشر Cos أستة لثيتة
+
+317
+00:35:53,110 --> 00:36:01,010
+على تلاتةزائد بدنا نربع المشتقة فبصير cosine أس
+
+318
+00:36:01,010 --> 00:36:07,670
+أربعة ثيتة ع تلاتة cosine تربيع ثيتة ع تلاتة كله
+
+319
+00:36:07,670 --> 00:36:15,110
+على d ثيتا اش رايك بدي اخد cosine تربيع عامل مشترك
+
+320
+00:36:15,110 --> 00:36:20,310
+فبص cosine أس أربعة قصدك يبقى هنا اي تكامل من zero
+
+321
+00:36:20,310 --> 00:36:27,480
+لغاية pi على أربعةلمن؟ للجذر التربية يعني cos
+
+322
+00:36:27,480 --> 00:36:34,060
+أربعة ثيتة ع تلاتة عامل مشترك بظل cos تربية ثيتة
+
+323
+00:36:34,060 --> 00:36:41,380
+على تلاتة زي sin تربية ثيتة على تلاتة كله بالنسبة
+
+324
+00:36:41,380 --> 00:36:47,880
+لمن؟ ل D ثيتايبقى بده يساوي تكامل من Zero لغاية Pi
+
+325
+00:36:47,880 --> 00:36:53,100
+على أربع هذا المقدار بين ال cosine كده؟ واحد واحد
+
+326
+00:36:53,100 --> 00:36:57,460
+صحيح يا مع السلامة بضل الجذر التربيهي ل cosine أُس
+
+327
+00:36:57,460 --> 00:37:02,640
+4 يبقىقصين تربيع بس absolute value وكل كمية مربعة
+
+328
+00:37:02,640 --> 00:37:07,740
+يبقى لا معنى لل absolute value يبقى قصين تربيع
+
+329
+00:37:07,740 --> 00:37:13,200
+لثيتا على تلاتة دي ثيتا هذه بقدرش أكملها إلا
+
+330
+00:37:13,200 --> 00:37:19,440
+أكتبها بدلالة ضعف الزاوية يبقى هذه النص برا وهي
+
+331
+00:37:19,440 --> 00:37:26,060
+تكامل من zero ل pi على أربعة وهذه واحدةزائد كوصين
+
+332
+00:37:26,060 --> 00:37:32,420
+اتنين ثيتا على تلاتة كله بالنسبة الى d ثيتا يبقى
+
+333
+00:37:32,420 --> 00:37:39,520
+هاي النص برا وهي ثيتا زائد تلاتة على اتنين صين
+
+334
+00:37:39,520 --> 00:37:46,800
+اتنين ثيتا على تلاتة وهذا كله من zero لغاية pi على
+
+335
+00:37:46,800 --> 00:37:54,530
+اربععوض والنتيجة كالتالي الإجابة يا سيدي بايع
+
+336
+00:37:54,530 --> 00:38:01,430
+تمانية زائد تلات أتمام يبقى يساوي بايع على تمانية
+
+337
+00:38:01,430 --> 00:38:08,490
+زائد تلاتة على تمانيةنجل نمر بي من المثلة بنفس
+
+338
+00:38:08,490 --> 00:38:15,090
+الطريقة يبقى بي بدنا نروح نجيب DR على D ثيتا يبقى
+
+339
+00:38:15,090 --> 00:38:21,390
+R يساوي الجذر التربيه الواحد زائد صين اثنين ثيتا
+
+340
+00:38:21,390 --> 00:38:29,900
+هذا بد يعطيك انه DR على D ثيتامشتقة الجدر 1 على 2
+
+341
+00:38:29,900 --> 00:38:37,640
+الجدر يبقى 1 على 2 الجدر التربيع ل 1 زائد sin 2 θ
+
+342
+00:38:37,640 --> 00:38:44,420
+في تفاضل ما داخل الجدر تفاضل ال 1 ب 0 تفاضل ال sin
+
+343
+00:38:44,420 --> 00:38:54,870
+ب cos ضرب مشتقة الزاوية يبقى 2 cos 2 θطيب ايش رايك
+
+344
+00:38:54,870 --> 00:39:01,450
+نربعها بالمرة يبقى هذه لو روحنا ربعناها بصير DR
+
+345
+00:39:01,450 --> 00:39:09,770
+على Dθ لكل تربيع يساوي اربعة كوصين تربيع اتنين
+
+346
+00:39:09,770 --> 00:39:14,830
+ثيتا على اربعة او اتنين هذي بتروح مع اتنين من
+
+347
+00:39:14,830 --> 00:39:21,310
+الاولي و مافيش اربعات على واحد زائد صين اتنين ثيتا
+
+348
+00:39:22,160 --> 00:39:28,800
+الان بدى اروح اجيب ال length L يبقى تكامل من zero
+
+349
+00:39:28,800 --> 00:39:36,800
+لغاية by جدر اتنين للجدر
+
+350
+00:39:36,800 --> 00:39:41,470
+التربيهىلـ R تربية بإننا نروح الرابعة دي، لو
+
+351
+00:39:41,470 --> 00:39:47,630
+رابعنا هذا، إيش بيحصل؟ الجذر مع السلامة يبقى واحد
+
+352
+00:39:47,630 --> 00:39:56,590
+زائد sine اتنين ثيتا زائد DR على D ثيتا لكل تربية
+
+353
+00:39:56,590 --> 00:40:02,470
+لو cosine تربية اتنين ثيتا على واحد زائد sine
+
+354
+00:40:02,470 --> 00:40:12,040
+اتنين ثيتا كله بالنسبة إلى D ثيتايساوي تكامل من
+
+355
+00:40:12,040 --> 00:40:17,380
+Zero لغاية Pi جذري اتنين للجذر التربيهي بدا واحد
+
+356
+00:40:17,380 --> 00:40:23,800
+له المقامات كله مرة واحدة يبقى له مقام كل واحد
+
+357
+00:40:23,800 --> 00:40:29,920
+زائد Sine اتنين ثتاهذا باعتباره كله على واحد يبقى
+
+358
+00:40:29,920 --> 00:40:36,780
+بصير هذا كله تربيع بدي افكه يبقى واحد زائد اتنين
+
+359
+00:40:36,780 --> 00:40:45,180
+sin اتنين ثيتا زائد sin تربيع اتنين ثيتا وعندي
+
+360
+00:40:45,180 --> 00:40:51,780
+كمان هنا من زائد cosine تربيع اتنين ثيتا وكل هذا
+
+361
+00:40:51,780 --> 00:40:57,750
+بالنسبة لمن الى d ثيتايبقى بده يساوي تكامل من zero
+
+362
+00:40:57,750 --> 00:41:05,170
+ل by جذر اتنين للجذر التربيعي طلعلي هذا sin تربيع
+
+363
+00:41:05,170 --> 00:41:11,490
+زاد cos تربيع وكعندي كمان واحد يصير اتنين يبقى
+
+364
+00:41:11,490 --> 00:41:18,450
+اتنين زائد اتنين sin اتنين ثيتا على واحد زائد sin
+
+365
+00:41:18,450 --> 00:41:24,360
+اتنين ثيتا كله بالنسبة الى d ثيتايبقى دي بدها
+
+366
+00:41:24,360 --> 00:41:31,780
+تساوي تكامل من zero ل by جذر اتنين للجذر التربيهي
+
+367
+00:41:31,780 --> 00:41:36,540
+بداخد اتنين عامل مشترك، كدهش بيضل واحد زاد صين
+
+368
+00:41:36,540 --> 00:41:41,100
+اتنين ثيتا علي واحد زاد، مع السلامة بيضلش الا جذر
+
+369
+00:41:41,100 --> 00:41:49,000
+اتنين فقط كله بالنسبة الى d ثيتايبقى النتيجة جذر
+
+370
+00:41:49,000 --> 00:41:56,360
+اتنين ثيتا والكلام هذا من zero لغاية by جذر اتنين
+
+371
+00:41:56,360 --> 00:42:07,340
+هو يسوى جذر اتنين في by جذر اتنين ناقص zero يبقى
+
+372
+00:42:07,340 --> 00:42:13,610
+الجواب قداشر اتنين by اللي هو طول المنحدرلحد اني
+
+373
+00:42:13,610 --> 00:42:22,790
+أوقف إليكم أرقام المسائل الخاصة بsection 11-5 يبقى
+
+374
+00:42:22,790 --> 00:42:35,070
+exercises 11-5 المسائل التالية من 1 ل 28 القدم
+
+375
+00:42:48,820 --> 00:42:52,460
+خلاص شرطات؟ اه ضايل فيه section 2 للاسبوع الجاى ان
+
+376
+00:42:52,460 --> 00:42:53,000
+شاء الله
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..542b0b59e8b9a9e8e6211c0400c84b76cec7a18a
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2942, "start": 9.82, "end": 29.42, "text": "بسم الله الرحمن الرحيم هذا ال section يحتوي على نقطتين النقطة الأولى حساب المساحة في الإحداثيات القطبية والنقطة ثانية حساب طول منحنى في الإحداثيات القطبية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 23758, 2423, 3541, 7251, 33753, 45865, 15844, 8717, 47432, 2655, 9957, 28239, 47432, 3660, 16247, 12610, 7578, 11331, 3794, 16758, 9673, 3794, 39319, 3660, 8978, 33688, 24401, 5718, 104, 1829, 9307, 25062, 9566, 3555, 10632, 16070, 1863, 47432, 3660, 38637, 7649, 10632, 11331, 3794, 16758, 23032, 12610, 9154, 5016, 1863, 7578, 8978, 33688, 24401, 5718, 104, 1829, 9307, 25062, 9566, 3555, 10632], "avg_logprob": -0.06542968998352687, "compression_ratio": 1.8344370860927153, "no_speech_prob": 0.0, "words": [{"start": 9.819999999999999, "end": 11.1, "word": "بسم", "probability": 0.785400390625}, {"start": 11.1, "end": 11.32, "word": " الله", "probability": 0.97265625}, {"start": 11.32, "end": 11.8, "word": " الرحمن", "probability": 0.9676106770833334}, {"start": 11.8, "end": 12.32, "word": " الرحيم", "probability": 0.9921875}, {"start": 12.32, "end": 13.62, "word": " هذا", "probability": 0.5009765625}, {"start": 13.62, "end": 13.74, "word": " ال", "probability": 0.623046875}, {"start": 13.74, "end": 14.08, "word": " section", "probability": 0.85546875}, {"start": 14.08, "end": 15.52, "word": " يحتوي", "probability": 0.9519856770833334}, {"start": 15.52, "end": 16.02, "word": " على", "probability": 0.9111328125}, {"start": 16.02, "end": 17.26, "word": " نقطتين", "probability": 0.96826171875}, {"start": 17.26, "end": 18.38, "word": " النقطة", "probability": 0.9609375}, {"start": 18.38, "end": 18.9, "word": " الأولى", "probability": 0.97314453125}, {"start": 18.9, "end": 19.5, "word": " حساب", "probability": 0.96435546875}, {"start": 19.5, "end": 20.14, "word": " المساحة", "probability": 0.9801025390625}, {"start": 20.14, "end": 20.28, "word": " في", "probability": 0.9619140625}, {"start": 20.28, "end": 21.26, "word": " الإحداثيات", "probability": 0.9156087239583334}, {"start": 21.26, "end": 22.58, "word": " القطبية", "probability": 0.9827880859375}, {"start": 22.58, "end": 23.8, "word": " والنقطة", "probability": 0.91552734375}, {"start": 23.8, "end": 24.32, "word": " ثانية", "probability": 0.9298502604166666}, {"start": 24.32, "end": 25.1, "word": " حساب", "probability": 0.9890950520833334}, {"start": 25.1, "end": 25.72, "word": " طول", "probability": 0.98193359375}, {"start": 25.72, "end": 26.7, "word": " منحنى", "probability": 0.9049072265625}, {"start": 26.7, "end": 27.14, "word": " في", "probability": 0.978515625}, {"start": 27.14, "end": 28.3, "word": " الإحداثيات", "probability": 0.9930826822916666}, {"start": 28.3, "end": 29.42, "word": " القطبية", "probability": 0.9884033203125}], "temperature": 1.0}, {"id": 2, "seek": 4899, "start": 29.83, "end": 48.99, "text": "لذلك العناون اللي احنا رفعينه الـ Areas and Lengths يبقى المساحات وأطوال المنحنيات في الإحداثيات القطبية هنجي نجسمه إلى نقطتين النقطة الأولى اللي هي المساحات والنقطة الثانية اللي هي أطوال المنحنيات", "tokens": [1211, 8848, 23275, 18863, 8315, 2407, 1863, 13672, 1829, 1975, 5016, 8315, 12602, 5172, 3615, 9957, 3224, 2423, 39184, 2014, 296, 293, 441, 4206, 82, 7251, 3555, 4587, 7578, 9673, 3794, 39319, 9307, 36725, 9566, 2407, 6027, 9673, 1863, 5016, 22653, 9307, 8978, 33688, 24401, 5718, 104, 1829, 9307, 25062, 9566, 3555, 10632, 8032, 1863, 7435, 1829, 8717, 7435, 38251, 3224, 30731, 8717, 47432, 2655, 9957, 28239, 47432, 3660, 16247, 12610, 7578, 13672, 1829, 39896, 9673, 3794, 39319, 9307, 16070, 1863, 47432, 3660, 6024, 104, 7649, 10632, 13672, 1829, 39896, 5551, 9566, 2407, 6027, 9673, 1863, 5016, 22653, 9307], "avg_logprob": -0.1703125047683716, "compression_ratio": 1.8967391304347827, "no_speech_prob": 0.0, "words": [{"start": 29.83, "end": 30.37, "word": "لذلك", "probability": 0.8181966145833334}, {"start": 30.37, "end": 30.85, "word": " العناون", "probability": 0.59271240234375}, {"start": 30.85, "end": 31.01, "word": " اللي", "probability": 0.8330078125}, {"start": 31.01, "end": 31.17, "word": " احنا", "probability": 0.90869140625}, {"start": 31.17, "end": 31.81, "word": " رفعينه", "probability": 0.7150390625}, {"start": 31.81, "end": 32.07, "word": " الـ", "probability": 0.505859375}, {"start": 32.07, "end": 32.65, "word": " Areas", "probability": 0.744873046875}, {"start": 32.65, "end": 33.11, "word": " and", "probability": 0.8974609375}, {"start": 33.11, "end": 34.05, "word": " Lengths", "probability": 0.7367350260416666}, {"start": 34.05, "end": 34.35, "word": " يبقى", "probability": 0.831787109375}, {"start": 34.35, "end": 35.35, "word": " المساحات", "probability": 0.933837890625}, {"start": 35.35, "end": 36.61, "word": " وأطوال", "probability": 0.8238525390625}, {"start": 36.61, "end": 38.11, "word": " المنحنيات", "probability": 0.96474609375}, {"start": 38.11, "end": 38.33, "word": " في", "probability": 0.89697265625}, {"start": 38.33, "end": 39.53, "word": " الإحداثيات", "probability": 0.9386393229166666}, {"start": 39.53, "end": 40.71, "word": " القطبية", "probability": 0.9605712890625}, {"start": 40.71, "end": 41.97, "word": " هنجي", "probability": 0.89013671875}, {"start": 41.97, "end": 42.81, "word": " نجسمه", "probability": 0.81396484375}, {"start": 42.81, "end": 42.99, "word": " إلى", "probability": 0.7685546875}, {"start": 42.99, "end": 43.65, "word": " نقطتين", "probability": 0.95556640625}, {"start": 43.65, "end": 44.15, "word": " النقطة", "probability": 0.8269856770833334}, {"start": 44.15, "end": 44.47, "word": " الأولى", "probability": 0.97216796875}, {"start": 44.47, "end": 44.59, "word": " اللي", "probability": 0.757568359375}, {"start": 44.59, "end": 44.73, "word": " هي", "probability": 0.9033203125}, {"start": 44.73, "end": 45.57, "word": " المساحات", "probability": 0.9920654296875}, {"start": 45.57, "end": 46.11, "word": " والنقطة", "probability": 0.9007568359375}, {"start": 46.11, "end": 46.49, "word": " الثانية", "probability": 0.955078125}, {"start": 46.49, "end": 46.61, "word": " اللي", "probability": 0.900146484375}, {"start": 46.61, "end": 46.75, "word": " هي", "probability": 0.96435546875}, {"start": 46.75, "end": 47.41, "word": " أطوال", "probability": 0.90283203125}, {"start": 47.41, "end": 48.99, "word": " المنحنيات", "probability": 0.9916015625}], "temperature": 1.0}, {"id": 3, "seek": 6140, "start": 49.44, "end": 61.4, "text": "خلّينا مع النقطة الأولى اللي هي ال area in the plane بدنا المساحة في المستوى بقاعد نحسبها بدلالة الإحداثيات القطبية", "tokens": [9778, 1211, 11703, 9957, 995, 20449, 28239, 47432, 3660, 16247, 12610, 7578, 13672, 1829, 39896, 2423, 1859, 294, 264, 5720, 47525, 8315, 9673, 3794, 39319, 3660, 8978, 9673, 14851, 2407, 7578, 4724, 4587, 995, 22488, 8717, 5016, 35457, 11296, 47525, 1211, 6027, 3660, 33688, 24401, 5718, 104, 1829, 9307, 25062, 9566, 3555, 10632], "avg_logprob": -0.2174479122515078, "compression_ratio": 1.3873239436619718, "no_speech_prob": 0.0, "words": [{"start": 49.44, "end": 50.0, "word": "خلّينا", "probability": 0.79697265625}, {"start": 50.0, "end": 50.14, "word": " مع", "probability": 0.484130859375}, {"start": 50.14, "end": 50.64, "word": " النقطة", "probability": 0.95849609375}, {"start": 50.64, "end": 51.02, "word": " الأولى", "probability": 0.9827473958333334}, {"start": 51.02, "end": 51.12, "word": " اللي", "probability": 0.3487548828125}, {"start": 51.12, "end": 51.22, "word": " هي", "probability": 0.8544921875}, {"start": 51.22, "end": 51.36, "word": " ال", "probability": 0.443359375}, {"start": 51.36, "end": 51.82, "word": " area", "probability": 0.6376953125}, {"start": 51.82, "end": 52.36, "word": " in", "probability": 0.951171875}, {"start": 52.36, "end": 52.66, "word": " the", "probability": 0.89599609375}, {"start": 52.66, "end": 53.1, "word": " plane", "probability": 0.58544921875}, {"start": 53.1, "end": 53.72, "word": " بدنا", "probability": 0.736083984375}, {"start": 53.72, "end": 55.22, "word": " المساحة", "probability": 0.96728515625}, {"start": 55.22, "end": 55.64, "word": " في", "probability": 0.94189453125}, {"start": 55.64, "end": 56.74, "word": " المستوى", "probability": 0.97314453125}, {"start": 56.74, "end": 57.44, "word": " بقاعد", "probability": 0.6368408203125}, {"start": 57.44, "end": 58.22, "word": " نحسبها", "probability": 0.958984375}, {"start": 58.22, "end": 58.98, "word": " بدلالة", "probability": 0.9375}, {"start": 58.98, "end": 60.14, "word": " الإحداثيات", "probability": 0.9019368489583334}, {"start": 60.14, "end": 61.4, "word": " القطبية", "probability": 0.80523681640625}], "temperature": 1.0}, {"id": 4, "seek": 8968, "start": 62.18, "end": 89.68, "text": "عطينا تعريفين نقرأ التعريف الأول نحاول نفهمه نرسم هذه المنطقة نحددها بالضبط اللي بدنا الكامل عليها فبقولي the area y على اتنب رسمنا معادل منحنى r تساوي f of theta نفترض جدلا ان هذا المنحنى هو r تساوي f of theta", "tokens": [3615, 9566, 1829, 8315, 37279, 16572, 5172, 9957, 8717, 4587, 2288, 10721, 16712, 3615, 16572, 5172, 16247, 12610, 8717, 5016, 995, 12610, 8717, 5172, 16095, 3224, 8717, 2288, 38251, 29538, 9673, 1863, 9566, 28671, 8717, 24401, 3215, 11296, 20666, 11242, 3555, 9566, 13672, 1829, 47525, 8315, 33251, 10943, 1211, 25894, 11296, 6156, 3555, 39648, 1829, 264, 1859, 288, 15844, 1975, 2655, 1863, 3555, 12602, 38251, 8315, 20449, 18513, 1211, 9154, 5016, 1863, 7578, 367, 6055, 3794, 995, 45865, 283, 295, 9725, 8717, 5172, 2655, 43042, 10874, 3215, 15040, 16472, 23758, 9673, 1863, 5016, 1863, 7578, 31439, 367, 6055, 3794, 995, 45865, 283, 295, 9725], "avg_logprob": -0.2122023786817278, "compression_ratio": 1.8061224489795917, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 62.18, "end": 62.76, "word": "عطينا", "probability": 0.475067138671875}, {"start": 62.76, "end": 63.68, "word": " تعريفين", "probability": 0.9364013671875}, {"start": 63.68, "end": 64.38, "word": " نقرأ", "probability": 0.6593017578125}, {"start": 64.38, "end": 64.9, "word": " التعريف", "probability": 0.9473876953125}, {"start": 64.9, "end": 65.38, "word": " الأول", "probability": 0.777099609375}, {"start": 65.38, "end": 67.52, "word": " نحاول", "probability": 0.7474365234375}, {"start": 67.52, "end": 68.14, "word": " نفهمه", "probability": 0.8448486328125}, {"start": 68.14, "end": 68.8, "word": " نرسم", "probability": 0.7540690104166666}, {"start": 68.8, "end": 69.58, "word": " هذه", "probability": 0.89111328125}, {"start": 69.58, "end": 70.26, "word": " المنطقة", "probability": 0.949951171875}, {"start": 70.26, "end": 71.0, "word": " نحددها", "probability": 0.927490234375}, {"start": 71.0, "end": 71.68, "word": " بالضبط", "probability": 0.9625244140625}, {"start": 71.68, "end": 72.18, "word": " اللي", "probability": 0.724609375}, {"start": 72.18, "end": 72.44, "word": " بدنا", "probability": 0.890380859375}, {"start": 72.44, "end": 73.06, "word": " الكامل", "probability": 0.8125813802083334}, {"start": 73.06, "end": 73.64, "word": " عليها", "probability": 0.985107421875}, {"start": 73.64, "end": 74.72, "word": " فبقولي", "probability": 0.61151123046875}, {"start": 74.72, "end": 74.86, "word": " the", "probability": 0.5927734375}, {"start": 74.86, "end": 75.28, "word": " area", "probability": 0.8154296875}, {"start": 75.28, "end": 75.86, "word": " y", "probability": 0.30078125}, {"start": 75.86, "end": 76.72, "word": " على", "probability": 0.81884765625}, {"start": 76.72, "end": 77.58, "word": " اتنب", "probability": 0.79193115234375}, {"start": 77.58, "end": 78.88, "word": " رسمنا", "probability": 0.9501953125}, {"start": 78.88, "end": 79.44, "word": " معادل", "probability": 0.9036458333333334}, {"start": 79.44, "end": 80.14, "word": " منحنى", "probability": 0.931640625}, {"start": 80.14, "end": 80.42, "word": " r", "probability": 0.458740234375}, {"start": 80.42, "end": 81.06, "word": " تساوي", "probability": 0.8194580078125}, {"start": 81.06, "end": 81.48, "word": " f", "probability": 0.71728515625}, {"start": 81.48, "end": 81.8, "word": " of", "probability": 0.91064453125}, {"start": 81.8, "end": 82.28, "word": " theta", "probability": 0.57373046875}, {"start": 82.28, "end": 83.46, "word": " نفترض", "probability": 0.9619140625}, {"start": 83.46, "end": 84.24, "word": " جدلا", "probability": 0.9806315104166666}, {"start": 84.24, "end": 84.68, "word": " ان", "probability": 0.55078125}, {"start": 84.68, "end": 85.16, "word": " هذا", "probability": 0.9521484375}, {"start": 85.16, "end": 86.02, "word": " المنحنى", "probability": 0.97041015625}, {"start": 86.02, "end": 86.36, "word": " هو", "probability": 0.8955078125}, {"start": 86.36, "end": 87.08, "word": " r", "probability": 0.75244140625}, {"start": 87.08, "end": 88.14, "word": " تساوي", "probability": 0.952392578125}, {"start": 88.14, "end": 88.78, "word": " f", "probability": 0.94775390625}, {"start": 88.78, "end": 89.34, "word": " of", "probability": 0.96484375}, {"start": 89.34, "end": 89.68, "word": " theta", "probability": 0.83349609375}], "temperature": 1.0}, {"id": 5, "seek": 10193, "start": 90.47, "end": 101.93, "text": "هذه معادلة المنحنة المذكورة عنها جينا رسمنا الخط θ تساوي alpha فكان الخط θ تساوي alpha بالشكل هذا", "tokens": [3224, 24192, 20449, 18513, 37977, 9673, 1863, 5016, 1863, 3660, 9673, 8848, 4117, 13063, 3660, 18871, 11296, 10874, 1829, 8315, 12602, 38251, 8315, 33962, 9566, 12622, 6055, 3794, 995, 45865, 8961, 6156, 41361, 33962, 9566, 12622, 6055, 3794, 995, 45865, 8961, 20666, 8592, 28820, 23758], "avg_logprob": -0.2544157466162806, "compression_ratio": 1.4396551724137931, "no_speech_prob": 0.0, "words": [{"start": 90.47, "end": 90.87, "word": "هذه", "probability": 0.843017578125}, {"start": 90.87, "end": 91.45, "word": " معادلة", "probability": 0.88427734375}, {"start": 91.45, "end": 92.63, "word": " المنحنة", "probability": 0.8259765625}, {"start": 92.63, "end": 93.43, "word": " المذكورة", "probability": 0.8951171875}, {"start": 93.43, "end": 93.95, "word": " عنها", "probability": 0.7431640625}, {"start": 93.95, "end": 94.75, "word": " جينا", "probability": 0.60498046875}, {"start": 94.75, "end": 95.37, "word": " رسمنا", "probability": 0.7980143229166666}, {"start": 95.37, "end": 95.85, "word": " الخط", "probability": 0.86474609375}, {"start": 95.85, "end": 96.05, "word": " θ", "probability": 0.5791015625}, {"start": 96.05, "end": 97.11, "word": " تساوي", "probability": 0.9005126953125}, {"start": 97.11, "end": 97.63, "word": " alpha", "probability": 0.27294921875}, {"start": 97.63, "end": 98.19, "word": " فكان", "probability": 0.94189453125}, {"start": 98.19, "end": 98.83, "word": " الخط", "probability": 0.977294921875}, {"start": 98.83, "end": 99.25, "word": " θ", "probability": 0.498046875}, {"start": 99.25, "end": 100.33, "word": " تساوي", "probability": 0.9832763671875}, {"start": 100.33, "end": 100.95, "word": " alpha", "probability": 0.8525390625}, {"start": 100.95, "end": 101.59, "word": " بالشكل", "probability": 0.9064127604166666}, {"start": 101.59, "end": 101.93, "word": " هذا", "probability": 0.966796875}], "temperature": 1.0}, {"id": 6, "seek": 13029, "start": 109.57, "end": 130.29, "text": "رسمنا الخط الثاني Alpha تساوي Beta فكان هنا Theta تساوي Beta إذا انحصرت مساحة ما بين المنحنى R تساوي F of Theta عند وين؟ وعند نقطة الاصل مع مين؟ مع الخطين المستقيمين", "tokens": [2288, 38251, 8315, 33962, 9566, 6024, 104, 7649, 1829, 20588, 6055, 3794, 995, 45865, 33286, 6156, 41361, 34105, 334, 7664, 6055, 3794, 995, 45865, 33286, 11933, 15730, 16472, 5016, 9381, 43500, 47524, 39319, 3660, 19446, 49374, 9673, 1863, 5016, 1863, 7578, 497, 6055, 3794, 995, 45865, 479, 295, 334, 7664, 43242, 4032, 9957, 22807, 4032, 3615, 41260, 8717, 47432, 3660, 2423, 33546, 1211, 20449, 3714, 9957, 22807, 20449, 33962, 9566, 9957, 9673, 14851, 4587, 32640, 9957], "avg_logprob": -0.1353490244258534, "compression_ratio": 1.619047619047619, "no_speech_prob": 0.0, "words": [{"start": 109.57, "end": 110.35, "word": "رسمنا", "probability": 0.9256184895833334}, {"start": 110.35, "end": 110.85, "word": " الخط", "probability": 0.96142578125}, {"start": 110.85, "end": 111.47, "word": " الثاني", "probability": 0.84686279296875}, {"start": 111.47, "end": 112.01, "word": " Alpha", "probability": 0.45703125}, {"start": 112.01, "end": 112.91, "word": " تساوي", "probability": 0.84515380859375}, {"start": 112.91, "end": 113.47, "word": " Beta", "probability": 0.7958984375}, {"start": 113.47, "end": 114.55, "word": " فكان", "probability": 0.9365234375}, {"start": 114.55, "end": 114.91, "word": " هنا", "probability": 0.9736328125}, {"start": 114.91, "end": 115.75, "word": " Theta", "probability": 0.6529541015625}, {"start": 115.75, "end": 116.71, "word": " تساوي", "probability": 0.9793701171875}, {"start": 116.71, "end": 117.15, "word": " Beta", "probability": 0.86279296875}, {"start": 117.15, "end": 118.17, "word": " إذا", "probability": 0.645751953125}, {"start": 118.17, "end": 119.01, "word": " انحصرت", "probability": 0.877685546875}, {"start": 119.01, "end": 120.29, "word": " مساحة", "probability": 0.9786783854166666}, {"start": 120.29, "end": 120.61, "word": " ما", "probability": 0.90673828125}, {"start": 120.61, "end": 120.89, "word": " بين", "probability": 0.9951171875}, {"start": 120.89, "end": 121.73, "word": " المنحنى", "probability": 0.85673828125}, {"start": 121.73, "end": 121.99, "word": " R", "probability": 0.943359375}, {"start": 121.99, "end": 122.69, "word": " تساوي", "probability": 0.9627685546875}, {"start": 122.69, "end": 123.09, "word": " F", "probability": 0.953125}, {"start": 123.09, "end": 123.43, "word": " of", "probability": 0.884765625}, {"start": 123.43, "end": 124.05, "word": " Theta", "probability": 0.866455078125}, {"start": 124.05, "end": 124.73, "word": " عند", "probability": 0.9130859375}, {"start": 124.73, "end": 125.59, "word": " وين؟", "probability": 0.8780924479166666}, {"start": 125.59, "end": 126.19, "word": " وعند", "probability": 0.7770182291666666}, {"start": 126.19, "end": 126.99, "word": " نقطة", "probability": 0.9654947916666666}, {"start": 126.99, "end": 127.77, "word": " الاصل", "probability": 0.8297526041666666}, {"start": 127.77, "end": 128.05, "word": " مع", "probability": 0.9580078125}, {"start": 128.05, "end": 128.57, "word": " مين؟", "probability": 0.8133138020833334}, {"start": 128.57, "end": 128.71, "word": " مع", "probability": 0.95263671875}, {"start": 128.71, "end": 129.31, "word": " الخطين", "probability": 0.95751953125}, {"start": 129.31, "end": 130.29, "word": " المستقيمين", "probability": 0.97255859375}], "temperature": 1.0}, {"id": 7, "seek": 14133, "start": 130.49, "end": 141.33, "text": "ثيتا تساوي ألف وثيتا تساوي بيتا المساحة هذه هي المساحة المظلة للي حديها الرمز capital A", "tokens": [12984, 36081, 995, 6055, 3794, 995, 45865, 5551, 46538, 4032, 12984, 36081, 995, 6055, 3794, 995, 45865, 4724, 36081, 995, 9673, 3794, 39319, 3660, 29538, 39896, 9673, 3794, 39319, 3660, 9673, 19913, 37977, 5296, 20292, 11331, 16254, 11296, 34892, 2304, 11622, 4238, 316], "avg_logprob": -0.20703125406395306, "compression_ratio": 1.4519230769230769, "no_speech_prob": 0.0, "words": [{"start": 130.49, "end": 131.11, "word": "ثيتا", "probability": 0.6263020833333334}, {"start": 131.11, "end": 131.63, "word": " تساوي", "probability": 0.80908203125}, {"start": 131.63, "end": 131.95, "word": " ألف", "probability": 0.682373046875}, {"start": 131.95, "end": 132.75, "word": " وثيتا", "probability": 0.73583984375}, {"start": 132.75, "end": 133.33, "word": " تساوي", "probability": 0.9852294921875}, {"start": 133.33, "end": 133.91, "word": " بيتا", "probability": 0.9114583333333334}, {"start": 133.91, "end": 135.03, "word": " المساحة", "probability": 0.89892578125}, {"start": 135.03, "end": 135.37, "word": " هذه", "probability": 0.642578125}, {"start": 135.37, "end": 135.75, "word": " هي", "probability": 0.85400390625}, {"start": 135.75, "end": 137.07, "word": " المساحة", "probability": 0.974609375}, {"start": 137.07, "end": 138.47, "word": " المظلة", "probability": 0.79541015625}, {"start": 138.47, "end": 138.75, "word": " للي", "probability": 0.7265625}, {"start": 138.75, "end": 139.37, "word": " حديها", "probability": 0.81494140625}, {"start": 139.37, "end": 140.07, "word": " الرمز", "probability": 0.9873046875}, {"start": 140.07, "end": 140.71, "word": " capital", "probability": 0.55859375}, {"start": 140.71, "end": 141.33, "word": " A", "probability": 0.7197265625}], "temperature": 1.0}, {"id": 8, "seek": 16957, "start": 142.07, "end": 169.57, "text": "يبقى قيمة هذه المساحة هي تكامل من Alpha إلى Beta لنص R ثربية D ثيتا.يعني بنجي على معادلة منحنها دوا بنردعها، نضربها في نص كامل عليها من Alpha إلى Beta، بنحصل على هذه المساحة.بنقول إن بنجي الحالة التانية أو التعريف التاني لو عندي منحنين، مش منحنة أحد.", "tokens": [1829, 3555, 4587, 7578, 12174, 32640, 3660, 29538, 9673, 3794, 39319, 3660, 39896, 6055, 4117, 10943, 1211, 9154, 20588, 30731, 33286, 5296, 1863, 9381, 497, 38637, 25513, 10632, 413, 38637, 36081, 995, 13, 40228, 22653, 44945, 7435, 1829, 15844, 20449, 18513, 37977, 9154, 5016, 1863, 11296, 11778, 14407, 44945, 2288, 3215, 3615, 11296, 12399, 8717, 11242, 25513, 11296, 8978, 8717, 9381, 9122, 10943, 1211, 25894, 11296, 9154, 20588, 30731, 33286, 12399, 44945, 5016, 36520, 15844, 29538, 9673, 3794, 39319, 3660, 13, 3555, 1863, 39648, 36145, 4724, 1863, 7435, 1829, 21542, 6027, 3660, 16712, 7649, 10632, 34051, 16712, 3615, 16572, 5172, 16712, 7649, 1829, 45164, 18871, 16254, 9154, 5016, 1863, 9957, 12399, 37893, 9154, 5016, 1863, 3660, 5551, 24401, 13], "avg_logprob": -0.2464843778560559, "compression_ratio": 1.8658008658008658, "no_speech_prob": 0.0, "words": [{"start": 142.07, "end": 142.55, "word": "يبقى", "probability": 0.699462890625}, {"start": 142.55, "end": 143.21, "word": " قيمة", "probability": 0.98974609375}, {"start": 143.21, "end": 143.57, "word": " هذه", "probability": 0.9453125}, {"start": 143.57, "end": 144.45, "word": " المساحة", "probability": 0.953369140625}, {"start": 144.45, "end": 144.71, "word": " هي", "probability": 0.841796875}, {"start": 144.71, "end": 145.71, "word": " تكامل", "probability": 0.9813232421875}, {"start": 145.71, "end": 146.37, "word": " من", "probability": 0.9755859375}, {"start": 146.37, "end": 146.93, "word": " Alpha", "probability": 0.76220703125}, {"start": 146.93, "end": 147.73, "word": " إلى", "probability": 0.9443359375}, {"start": 147.73, "end": 148.69, "word": " Beta", "probability": 0.96337890625}, {"start": 148.69, "end": 150.47, "word": " لنص", "probability": 0.8024088541666666}, {"start": 150.47, "end": 150.89, "word": " R", "probability": 0.358642578125}, {"start": 150.89, "end": 151.61, "word": " ثربية", "probability": 0.5358072916666666}, {"start": 151.61, "end": 152.05, "word": " D", "probability": 0.89111328125}, {"start": 152.05, "end": 152.57, "word": " ثيتا", "probability": 0.7267252604166666}, {"start": 152.57, "end": 152.91, "word": ".يعني", "probability": 0.686767578125}, {"start": 152.91, "end": 153.49, "word": " بنجي", "probability": 0.8123372395833334}, {"start": 153.49, "end": 154.11, "word": " على", "probability": 0.9375}, {"start": 154.11, "end": 154.65, "word": " معادلة", "probability": 0.6077473958333334}, {"start": 154.65, "end": 155.23, "word": " منحنها", "probability": 0.8433837890625}, {"start": 155.23, "end": 155.51, "word": " دوا", "probability": 0.40606689453125}, {"start": 155.51, "end": 156.81, "word": " بنردعها،", "probability": 0.6681722005208334}, {"start": 156.81, "end": 157.35, "word": " نضربها", "probability": 0.9578857421875}, {"start": 157.35, "end": 157.51, "word": " في", "probability": 0.88525390625}, {"start": 157.51, "end": 157.77, "word": " نص", "probability": 0.967041015625}, {"start": 157.77, "end": 158.45, "word": " كامل", "probability": 0.99072265625}, {"start": 158.45, "end": 158.83, "word": " عليها", "probability": 0.975341796875}, {"start": 158.83, "end": 159.01, "word": " من", "probability": 0.9521484375}, {"start": 159.01, "end": 159.37, "word": " Alpha", "probability": 0.9775390625}, {"start": 159.37, "end": 159.63, "word": " إلى", "probability": 0.98974609375}, {"start": 159.63, "end": 160.07, "word": " Beta،", "probability": 0.79736328125}, {"start": 160.07, "end": 160.63, "word": " بنحصل", "probability": 0.9728190104166666}, {"start": 160.63, "end": 161.35, "word": " على", "probability": 0.94677734375}, {"start": 161.35, "end": 161.93, "word": " هذه", "probability": 0.98779296875}, {"start": 161.93, "end": 163.13, "word": " المساحة", "probability": 0.993896484375}, {"start": 163.13, "end": 164.03, "word": ".بنقول", "probability": 0.66168212890625}, {"start": 164.03, "end": 164.17, "word": " إن", "probability": 0.37890625}, {"start": 164.17, "end": 164.47, "word": " بنجي", "probability": 0.6939697265625}, {"start": 164.47, "end": 164.97, "word": " الحالة", "probability": 0.9661458333333334}, {"start": 164.97, "end": 165.37, "word": " التانية", "probability": 0.9777018229166666}, {"start": 165.37, "end": 165.55, "word": " أو", "probability": 0.76708984375}, {"start": 165.55, "end": 166.07, "word": " التعريف", "probability": 0.9830322265625}, {"start": 166.07, "end": 166.57, "word": " التاني", "probability": 0.9674479166666666}, {"start": 166.57, "end": 166.77, "word": " لو", "probability": 0.654296875}, {"start": 166.77, "end": 167.15, "word": " عندي", "probability": 0.85791015625}, {"start": 167.15, "end": 168.47, "word": " منحنين،", "probability": 0.86572265625}, {"start": 168.47, "end": 168.75, "word": " مش", "probability": 0.95654296875}, {"start": 168.75, "end": 169.29, "word": " منحنة", "probability": 0.79840087890625}, {"start": 169.29, "end": 169.57, "word": " أحد.", "probability": 0.6412353515625}], "temperature": 1.0}, {"id": 9, "seek": 19543, "start": 170.01, "end": 195.43, "text": "المنحنين حصروا بينهم مساحة بدي أعرف مقدار هذه المساحة فمثلا لو جينا قولنا هذا theta تساوي zero وهذا theta تساوي pi على اتنين رسمنا المنحنة الأول فكان المنحنة مثلا بالشكل هذا يبقى هذا المنحنة اللي هو R one of theta", "tokens": [45340, 1863, 5016, 1863, 9957, 11331, 9381, 2288, 14407, 49374, 16095, 47524, 39319, 3660, 4724, 16254, 5551, 3615, 28480, 3714, 28543, 9640, 29538, 9673, 3794, 39319, 3660, 6156, 2304, 12984, 15040, 45164, 10874, 1829, 8315, 12174, 12610, 8315, 23758, 9725, 6055, 3794, 995, 45865, 4018, 37037, 15730, 9725, 6055, 3794, 995, 45865, 3895, 15844, 1975, 2655, 1863, 9957, 12602, 38251, 8315, 9673, 1863, 5016, 1863, 3660, 16247, 12610, 6156, 41361, 9673, 1863, 5016, 1863, 3660, 50113, 15040, 20666, 8592, 28820, 23758, 7251, 3555, 4587, 7578, 23758, 9673, 1863, 5016, 1863, 3660, 13672, 1829, 31439, 497, 472, 295, 9725], "avg_logprob": -0.18513257967101204, "compression_ratio": 1.8181818181818181, "no_speech_prob": 0.0, "words": [{"start": 170.01, "end": 170.91, "word": "المنحنين", "probability": 0.85771484375}, {"start": 170.91, "end": 171.53, "word": " حصروا", "probability": 0.9263916015625}, {"start": 171.53, "end": 172.03, "word": " بينهم", "probability": 0.878173828125}, {"start": 172.03, "end": 172.83, "word": " مساحة", "probability": 0.9571940104166666}, {"start": 172.83, "end": 173.41, "word": " بدي", "probability": 0.401336669921875}, {"start": 173.41, "end": 173.73, "word": " أعرف", "probability": 0.8986002604166666}, {"start": 173.73, "end": 174.93, "word": " مقدار", "probability": 0.7850748697916666}, {"start": 174.93, "end": 175.37, "word": " هذه", "probability": 0.50048828125}, {"start": 175.37, "end": 176.85, "word": " المساحة", "probability": 0.9793701171875}, {"start": 176.85, "end": 177.49, "word": " فمثلا", "probability": 0.8209228515625}, {"start": 177.49, "end": 179.17, "word": " لو", "probability": 0.5537109375}, {"start": 179.17, "end": 179.45, "word": " جينا", "probability": 0.9611002604166666}, {"start": 179.45, "end": 179.85, "word": " قولنا", "probability": 0.7877604166666666}, {"start": 179.85, "end": 180.09, "word": " هذا", "probability": 0.873046875}, {"start": 180.09, "end": 180.45, "word": " theta", "probability": 0.267333984375}, {"start": 180.45, "end": 181.15, "word": " تساوي", "probability": 0.8922119140625}, {"start": 181.15, "end": 181.51, "word": " zero", "probability": 0.654296875}, {"start": 181.51, "end": 182.01, "word": " وهذا", "probability": 0.6851806640625}, {"start": 182.01, "end": 182.41, "word": " theta", "probability": 0.62060546875}, {"start": 182.41, "end": 183.15, "word": " تساوي", "probability": 0.977783203125}, {"start": 183.15, "end": 183.51, "word": " pi", "probability": 0.2344970703125}, {"start": 183.51, "end": 183.83, "word": " على", "probability": 0.57177734375}, {"start": 183.83, "end": 184.31, "word": " اتنين", "probability": 0.8955078125}, {"start": 184.31, "end": 185.79, "word": " رسمنا", "probability": 0.953125}, {"start": 185.79, "end": 186.55, "word": " المنحنة", "probability": 0.91416015625}, {"start": 186.55, "end": 187.19, "word": " الأول", "probability": 0.971923828125}, {"start": 187.19, "end": 188.19, "word": " فكان", "probability": 0.97265625}, {"start": 188.19, "end": 189.01, "word": " المنحنة", "probability": 0.9869140625}, {"start": 189.01, "end": 189.43, "word": " مثلا", "probability": 0.974365234375}, {"start": 189.43, "end": 190.05, "word": " بالشكل", "probability": 0.95654296875}, {"start": 190.05, "end": 190.43, "word": " هذا", "probability": 0.9794921875}, {"start": 190.43, "end": 191.35, "word": " يبقى", "probability": 0.97021484375}, {"start": 191.35, "end": 191.69, "word": " هذا", "probability": 0.9052734375}, {"start": 191.69, "end": 192.53, "word": " المنحنة", "probability": 0.98505859375}, {"start": 192.53, "end": 192.63, "word": " اللي", "probability": 0.59039306640625}, {"start": 192.63, "end": 192.83, "word": " هو", "probability": 0.96484375}, {"start": 192.83, "end": 193.51, "word": " R", "probability": 0.73583984375}, {"start": 193.51, "end": 194.11, "word": " one", "probability": 0.5107421875}, {"start": 194.11, "end": 195.03, "word": " of", "probability": 0.9677734375}, {"start": 195.03, "end": 195.43, "word": " theta", "probability": 0.92919921875}], "temperature": 1.0}, {"id": 10, "seek": 21795, "start": 196.29, "end": 217.95, "text": "الورقن of theta بيعطيني قيم موجبة R بتأخذ قيم موجبة وليس قيم سالبة يبقى أكبر من ال zero بنفس الطريقة R اتنين of theta بدي افترض ان هذا المنحنى هو R اتنين of theta", "tokens": [6027, 13063, 4587, 1863, 295, 9725, 4724, 1829, 3615, 9566, 1829, 22653, 12174, 32640, 3714, 29245, 49401, 497, 39894, 10721, 9778, 8848, 12174, 32640, 3714, 29245, 49401, 4032, 20292, 3794, 12174, 32640, 8608, 6027, 49401, 7251, 3555, 4587, 7578, 5551, 4117, 26890, 9154, 2423, 4018, 44945, 36178, 41950, 16572, 28671, 497, 1975, 2655, 1863, 9957, 295, 9725, 4724, 16254, 1975, 5172, 2655, 43042, 16472, 23758, 9673, 1863, 5016, 1863, 7578, 31439, 497, 1975, 2655, 1863, 9957, 295, 9725], "avg_logprob": -0.2616693015340008, "compression_ratio": 1.6540880503144655, "no_speech_prob": 0.0, "words": [{"start": 196.29, "end": 197.15, "word": "الورقن", "probability": 0.542144775390625}, {"start": 197.15, "end": 197.35, "word": " of", "probability": 0.7314453125}, {"start": 197.35, "end": 197.79, "word": " theta", "probability": 0.336181640625}, {"start": 197.79, "end": 198.65, "word": " بيعطيني", "probability": 0.6969401041666666}, {"start": 198.65, "end": 199.21, "word": " قيم", "probability": 0.94921875}, {"start": 199.21, "end": 199.97, "word": " موجبة", "probability": 0.9580078125}, {"start": 199.97, "end": 200.29, "word": " R", "probability": 0.26708984375}, {"start": 200.29, "end": 200.97, "word": " بتأخذ", "probability": 0.753173828125}, {"start": 200.97, "end": 201.43, "word": " قيم", "probability": 0.932861328125}, {"start": 201.43, "end": 202.13, "word": " موجبة", "probability": 0.8234049479166666}, {"start": 202.13, "end": 202.73, "word": " وليس", "probability": 0.7747395833333334}, {"start": 202.73, "end": 203.39, "word": " قيم", "probability": 0.899658203125}, {"start": 203.39, "end": 204.97, "word": " سالبة", "probability": 0.9212239583333334}, {"start": 204.97, "end": 205.77, "word": " يبقى", "probability": 0.9171142578125}, {"start": 205.77, "end": 206.29, "word": " أكبر", "probability": 0.8797200520833334}, {"start": 206.29, "end": 206.53, "word": " من", "probability": 0.9951171875}, {"start": 206.53, "end": 206.73, "word": " ال", "probability": 0.80712890625}, {"start": 206.73, "end": 207.05, "word": " zero", "probability": 0.451904296875}, {"start": 207.05, "end": 208.01, "word": " بنفس", "probability": 0.87109375}, {"start": 208.01, "end": 208.85, "word": " الطريقة", "probability": 0.9905598958333334}, {"start": 208.85, "end": 209.45, "word": " R", "probability": 0.65625}, {"start": 209.45, "end": 210.15, "word": " اتنين", "probability": 0.8697509765625}, {"start": 210.15, "end": 210.57, "word": " of", "probability": 0.9755859375}, {"start": 210.57, "end": 211.17, "word": " theta", "probability": 0.669921875}, {"start": 211.17, "end": 211.91, "word": " بدي", "probability": 0.295166015625}, {"start": 211.91, "end": 212.43, "word": " افترض", "probability": 0.956787109375}, {"start": 212.43, "end": 212.73, "word": " ان", "probability": 0.80029296875}, {"start": 212.73, "end": 213.17, "word": " هذا", "probability": 0.93359375}, {"start": 213.17, "end": 214.01, "word": " المنحنى", "probability": 0.798828125}, {"start": 214.01, "end": 214.47, "word": " هو", "probability": 0.951171875}, {"start": 214.47, "end": 215.67, "word": " R", "probability": 0.904296875}, {"start": 215.67, "end": 216.95, "word": " اتنين", "probability": 0.968017578125}, {"start": 216.95, "end": 217.53, "word": " of", "probability": 0.97900390625}, {"start": 217.53, "end": 217.95, "word": " theta", "probability": 0.7939453125}], "temperature": 1.0}, {"id": 11, "seek": 23103, "start": 218.51, "end": 231.03, "text": "و رسمنا الخط ثيتا تساوي Alpha يبقى هذا ثيتا تساوي Alpha وهذا الخط التاني ثيتا تساوي Beta", "tokens": [2407, 12602, 38251, 8315, 33962, 9566, 38637, 36081, 995, 6055, 3794, 995, 45865, 20588, 7251, 3555, 4587, 7578, 23758, 38637, 36081, 995, 6055, 3794, 995, 45865, 20588, 37037, 15730, 33962, 9566, 16712, 7649, 1829, 38637, 36081, 995, 6055, 3794, 995, 45865, 33286], "avg_logprob": -0.2788880800091943, "compression_ratio": 1.5698924731182795, "no_speech_prob": 0.0, "words": [{"start": 218.51, "end": 219.75, "word": "و", "probability": 0.210693359375}, {"start": 219.75, "end": 220.87, "word": " رسمنا", "probability": 0.7220052083333334}, {"start": 220.87, "end": 221.51, "word": " الخط", "probability": 0.86865234375}, {"start": 221.51, "end": 222.21, "word": " ثيتا", "probability": 0.6315511067708334}, {"start": 222.21, "end": 222.97, "word": " تساوي", "probability": 0.85284423828125}, {"start": 222.97, "end": 223.69, "word": " Alpha", "probability": 0.2364501953125}, {"start": 223.69, "end": 224.75, "word": " يبقى", "probability": 0.79644775390625}, {"start": 224.75, "end": 225.05, "word": " هذا", "probability": 0.489990234375}, {"start": 225.05, "end": 225.57, "word": " ثيتا", "probability": 0.8103841145833334}, {"start": 225.57, "end": 226.17, "word": " تساوي", "probability": 0.989013671875}, {"start": 226.17, "end": 226.63, "word": " Alpha", "probability": 0.9658203125}, {"start": 226.63, "end": 227.61, "word": " وهذا", "probability": 0.789306640625}, {"start": 227.61, "end": 228.17, "word": " الخط", "probability": 0.963134765625}, {"start": 228.17, "end": 228.95, "word": " التاني", "probability": 0.86962890625}, {"start": 228.95, "end": 229.71, "word": " ثيتا", "probability": 0.8616536458333334}, {"start": 229.71, "end": 230.65, "word": " تساوي", "probability": 0.989013671875}, {"start": 230.65, "end": 231.03, "word": " Beta", "probability": 0.7978515625}], "temperature": 1.0}, {"id": 12, "seek": 24941, "start": 232.67, "end": 249.41, "text": "الان المنحنيين مع الخطين حصروا لي مساحة اللي هي المساحة المظللة بالأسود هذه هيك اللي هسميها المساحة A قال المساحة A هي عبارة عن", "tokens": [6027, 7649, 9673, 1863, 5016, 22653, 9957, 20449, 33962, 9566, 9957, 11331, 9381, 2288, 14407, 32239, 47524, 39319, 3660, 13672, 1829, 39896, 9673, 3794, 39319, 3660, 9673, 19913, 1211, 37977, 20666, 10721, 3794, 23328, 29538, 39896, 4117, 13672, 1829, 8032, 38251, 1829, 11296, 9673, 3794, 39319, 3660, 316, 50239, 9673, 3794, 39319, 3660, 316, 39896, 6225, 3555, 9640, 3660, 18871], "avg_logprob": -0.17494876853755262, "compression_ratio": 1.8174603174603174, "no_speech_prob": 0.0, "words": [{"start": 232.67, "end": 233.27, "word": "الان", "probability": 0.86572265625}, {"start": 233.27, "end": 234.51, "word": " المنحنيين", "probability": 0.780078125}, {"start": 234.51, "end": 234.79, "word": " مع", "probability": 0.89697265625}, {"start": 234.79, "end": 235.45, "word": " الخطين", "probability": 0.9518229166666666}, {"start": 235.45, "end": 236.13, "word": " حصروا", "probability": 0.8515625}, {"start": 236.13, "end": 236.31, "word": " لي", "probability": 0.59130859375}, {"start": 236.31, "end": 237.03, "word": " مساحة", "probability": 0.9645182291666666}, {"start": 237.03, "end": 237.63, "word": " اللي", "probability": 0.56298828125}, {"start": 237.63, "end": 237.69, "word": " هي", "probability": 0.89599609375}, {"start": 237.69, "end": 238.47, "word": " المساحة", "probability": 0.9664306640625}, {"start": 238.47, "end": 239.37, "word": " المظللة", "probability": 0.89697265625}, {"start": 239.37, "end": 240.33, "word": " بالأسود", "probability": 0.919921875}, {"start": 240.33, "end": 240.93, "word": " هذه", "probability": 0.49365234375}, {"start": 240.93, "end": 241.75, "word": " هيك", "probability": 0.5267333984375}, {"start": 241.75, "end": 242.93, "word": " اللي", "probability": 0.92822265625}, {"start": 242.93, "end": 243.65, "word": " هسميها", "probability": 0.8822021484375}, {"start": 243.65, "end": 245.13, "word": " المساحة", "probability": 0.933837890625}, {"start": 245.13, "end": 245.39, "word": " A", "probability": 0.59033203125}, {"start": 245.39, "end": 246.57, "word": " قال", "probability": 0.489013671875}, {"start": 246.57, "end": 247.67, "word": " المساحة", "probability": 0.8974609375}, {"start": 247.67, "end": 247.89, "word": " A", "probability": 0.9375}, {"start": 247.89, "end": 248.27, "word": " هي", "probability": 0.92041015625}, {"start": 248.27, "end": 249.03, "word": " عبارة", "probability": 0.9927978515625}, {"start": 249.03, "end": 249.41, "word": " عن", "probability": 0.99609375}], "temperature": 1.0}, {"id": 13, "seek": 26294, "start": 249.8, "end": 262.94, "text": "تكامل من Alpha إلى Beta لنص R2 ترابيع ناقص R1 ترابيع وكله بالنسبة لمن؟ لـDθ", "tokens": [2655, 4117, 10943, 1211, 9154, 20588, 30731, 33286, 5296, 1863, 9381, 497, 17, 6055, 2288, 16758, 40228, 8717, 995, 4587, 9381, 497, 16, 6055, 2288, 16758, 40228, 4032, 28820, 3224, 20666, 1863, 35457, 3660, 5296, 27842, 22807, 5296, 39184, 35, 9440], "avg_logprob": -0.2498139753228142, "compression_ratio": 1.161904761904762, "no_speech_prob": 0.0, "words": [{"start": 249.8, "end": 250.86, "word": "تكامل", "probability": 0.8599853515625}, {"start": 250.86, "end": 251.24, "word": " من", "probability": 0.96630859375}, {"start": 251.24, "end": 251.82, "word": " Alpha", "probability": 0.51611328125}, {"start": 251.82, "end": 252.42, "word": " إلى", "probability": 0.814453125}, {"start": 252.42, "end": 253.18, "word": " Beta", "probability": 0.94775390625}, {"start": 253.18, "end": 254.5, "word": " لنص", "probability": 0.87158203125}, {"start": 254.5, "end": 256.12, "word": " R2", "probability": 0.659912109375}, {"start": 256.12, "end": 257.38, "word": " ترابيع", "probability": 0.8125}, {"start": 257.38, "end": 258.62, "word": " ناقص", "probability": 0.9033203125}, {"start": 258.62, "end": 259.68, "word": " R1", "probability": 0.97216796875}, {"start": 259.68, "end": 260.64, "word": " ترابيع", "probability": 0.9290771484375}, {"start": 260.64, "end": 261.14, "word": " وكله", "probability": 0.591796875}, {"start": 261.14, "end": 261.58, "word": " بالنسبة", "probability": 0.941650390625}, {"start": 261.58, "end": 262.26, "word": " لمن؟", "probability": 0.6627604166666666}, {"start": 262.26, "end": 262.94, "word": " لـDθ", "probability": 0.53961181640625}], "temperature": 1.0}, {"id": 14, "seek": 28020, "start": 263.65, "end": 280.21, "text": "أو نص R اتنين تربية الـ Dθ التكامل عليها نقص التكامل على نص R والـ Dθ تعالى نشوف هذه الرسمة، لو جاءت ختة التكامل الأول يبقى بيعطيني المساحة ما بين المنحنة هذا", "tokens": [10721, 2407, 8717, 9381, 497, 1975, 2655, 1863, 9957, 6055, 25513, 10632, 2423, 39184, 413, 9440, 16712, 4117, 10943, 1211, 25894, 11296, 8717, 4587, 9381, 16712, 4117, 10943, 1211, 15844, 8717, 9381, 497, 16070, 39184, 413, 9440, 37279, 6027, 7578, 8717, 8592, 38688, 29538, 34892, 38251, 3660, 12399, 45164, 10874, 16606, 2655, 16490, 2655, 3660, 16712, 4117, 10943, 1211, 16247, 12610, 7251, 3555, 4587, 7578, 4724, 40228, 9566, 9957, 1829, 9673, 3794, 39319, 3660, 19446, 49374, 9673, 1863, 5016, 1863, 3660, 23758], "avg_logprob": -0.24943524599075317, "compression_ratio": 1.6927710843373494, "no_speech_prob": 0.0, "words": [{"start": 263.65, "end": 264.21, "word": "أو", "probability": 0.80615234375}, {"start": 264.21, "end": 265.31, "word": " نص", "probability": 0.870849609375}, {"start": 265.31, "end": 265.81, "word": " R", "probability": 0.6650390625}, {"start": 265.81, "end": 266.35, "word": " اتنين", "probability": 0.76617431640625}, {"start": 266.35, "end": 266.93, "word": " تربية", "probability": 0.8577473958333334}, {"start": 266.93, "end": 267.09, "word": " الـ", "probability": 0.36334228515625}, {"start": 267.09, "end": 267.43, "word": " Dθ", "probability": 0.4842529296875}, {"start": 267.43, "end": 268.13, "word": " التكامل", "probability": 0.95068359375}, {"start": 268.13, "end": 268.61, "word": " عليها", "probability": 0.993408203125}, {"start": 268.61, "end": 269.15, "word": " نقص", "probability": 0.93896484375}, {"start": 269.15, "end": 269.97, "word": " التكامل", "probability": 0.9915771484375}, {"start": 269.97, "end": 270.31, "word": " على", "probability": 0.8291015625}, {"start": 270.31, "end": 271.13, "word": " نص", "probability": 0.96826171875}, {"start": 271.13, "end": 271.55, "word": " R", "probability": 0.9453125}, {"start": 271.55, "end": 272.25, "word": " والـ", "probability": 0.685791015625}, {"start": 272.25, "end": 272.73, "word": " Dθ", "probability": 0.720947265625}, {"start": 272.73, "end": 273.23, "word": " تعالى", "probability": 0.735595703125}, {"start": 273.23, "end": 273.39, "word": " نشوف", "probability": 0.7167154947916666}, {"start": 273.39, "end": 273.57, "word": " هذه", "probability": 0.474609375}, {"start": 273.57, "end": 274.37, "word": " الرسمة،", "probability": 0.7490234375}, {"start": 274.37, "end": 275.03, "word": " لو", "probability": 0.68115234375}, {"start": 275.03, "end": 275.33, "word": " جاءت", "probability": 0.7540690104166666}, {"start": 275.33, "end": 275.69, "word": " ختة", "probability": 0.7500813802083334}, {"start": 275.69, "end": 276.47, "word": " التكامل", "probability": 0.9896240234375}, {"start": 276.47, "end": 277.01, "word": " الأول", "probability": 0.8701171875}, {"start": 277.01, "end": 277.47, "word": " يبقى", "probability": 0.75592041015625}, {"start": 277.47, "end": 278.11, "word": " بيعطيني", "probability": 0.78427734375}, {"start": 278.11, "end": 278.77, "word": " المساحة", "probability": 0.96435546875}, {"start": 278.77, "end": 278.89, "word": " ما", "probability": 0.95654296875}, {"start": 278.89, "end": 279.09, "word": " بين", "probability": 0.9873046875}, {"start": 279.09, "end": 279.85, "word": " المنحنة", "probability": 0.89794921875}, {"start": 279.85, "end": 280.21, "word": " هذا", "probability": 0.7587890625}], "temperature": 1.0}, {"id": 15, "seek": 30841, "start": 280.53, "end": 308.41, "text": "عنده نقطة ناصر المظللة والمنطقة البيضة هذه تمام؟ الآن المساحة التانية هذه هي المنطقة البيضة دون المظللة إذا لو طرحت اتنين اتين من بعض بتبقى مين؟ المساحة المظللة يبقى هذا اللي هو العلاقة اللي أطالية حد اللي يستفسر قبل أن ندخل إلى الأمثلة طيب المثال الأول", "tokens": [3615, 41260, 3224, 8717, 47432, 3660, 8717, 33546, 2288, 9673, 19913, 1211, 37977, 16070, 27842, 9566, 28671, 2423, 21292, 11242, 3660, 29538, 46811, 10943, 22807, 6024, 48506, 9673, 3794, 39319, 3660, 16712, 7649, 10632, 29538, 39896, 9673, 1863, 9566, 28671, 2423, 21292, 11242, 3660, 11778, 11536, 9673, 19913, 1211, 37977, 11933, 15730, 45164, 23032, 2288, 33753, 1975, 2655, 1863, 9957, 1975, 2655, 9957, 9154, 45030, 11242, 39894, 3555, 4587, 7578, 3714, 9957, 22807, 9673, 3794, 39319, 3660, 9673, 19913, 1211, 37977, 7251, 3555, 4587, 7578, 23758, 13672, 1829, 31439, 18863, 15040, 28671, 13672, 1829, 5551, 9566, 6027, 10632, 11331, 3215, 13672, 1829, 7251, 14851, 36178, 2288, 12174, 36150, 14739, 8717, 3215, 9778, 1211, 30731, 16247, 2304, 12984, 37977, 23032, 1829, 3555, 9673, 12984, 6027, 16247, 12610], "avg_logprob": -0.2033710559522073, "compression_ratio": 2.114678899082569, "no_speech_prob": 0.0, "words": [{"start": 280.53, "end": 281.15, "word": "عنده", "probability": 0.6114095052083334}, {"start": 281.15, "end": 281.67, "word": " نقطة", "probability": 0.9806315104166666}, {"start": 281.67, "end": 282.07, "word": " ناصر", "probability": 0.5413411458333334}, {"start": 282.07, "end": 283.09, "word": " المظللة", "probability": 0.8419189453125}, {"start": 283.09, "end": 283.95, "word": " والمنطقة", "probability": 0.852294921875}, {"start": 283.95, "end": 284.47, "word": " البيضة", "probability": 0.7711181640625}, {"start": 284.47, "end": 284.85, "word": " هذه", "probability": 0.52880859375}, {"start": 284.85, "end": 286.21, "word": " تمام؟", "probability": 0.6583658854166666}, {"start": 286.21, "end": 287.05, "word": " الآن", "probability": 0.5916748046875}, {"start": 287.05, "end": 288.05, "word": " المساحة", "probability": 0.96142578125}, {"start": 288.05, "end": 288.67, "word": " التانية", "probability": 0.9689127604166666}, {"start": 288.67, "end": 289.21, "word": " هذه", "probability": 0.76318359375}, {"start": 289.21, "end": 289.81, "word": " هي", "probability": 0.94189453125}, {"start": 289.81, "end": 290.81, "word": " المنطقة", "probability": 0.97705078125}, {"start": 290.81, "end": 291.73, "word": " البيضة", "probability": 0.96142578125}, {"start": 291.73, "end": 292.07, "word": " دون", "probability": 0.945068359375}, {"start": 292.07, "end": 293.25, "word": " المظللة", "probability": 0.9808349609375}, {"start": 293.25, "end": 293.55, "word": " إذا", "probability": 0.6927490234375}, {"start": 293.55, "end": 293.83, "word": " لو", "probability": 0.9326171875}, {"start": 293.83, "end": 294.15, "word": " طرحت", "probability": 0.8328450520833334}, {"start": 294.15, "end": 294.59, "word": " اتنين", "probability": 0.67926025390625}, {"start": 294.59, "end": 294.71, "word": " اتين", "probability": 0.7379557291666666}, {"start": 294.71, "end": 294.87, "word": " من", "probability": 0.9453125}, {"start": 294.87, "end": 295.15, "word": " بعض", "probability": 0.997802734375}, {"start": 295.15, "end": 295.67, "word": " بتبقى", "probability": 0.8326416015625}, {"start": 295.67, "end": 296.09, "word": " مين؟", "probability": 0.688232421875}, {"start": 296.09, "end": 297.73, "word": " المساحة", "probability": 0.977783203125}, {"start": 297.73, "end": 298.91, "word": " المظللة", "probability": 0.9888916015625}, {"start": 298.91, "end": 299.73, "word": " يبقى", "probability": 0.9598388671875}, {"start": 299.73, "end": 300.15, "word": " هذا", "probability": 0.82373046875}, {"start": 300.15, "end": 300.51, "word": " اللي", "probability": 0.90380859375}, {"start": 300.51, "end": 300.65, "word": " هو", "probability": 0.9443359375}, {"start": 300.65, "end": 301.25, "word": " العلاقة", "probability": 0.9796549479166666}, {"start": 301.25, "end": 301.61, "word": " اللي", "probability": 0.919677734375}, {"start": 301.61, "end": 302.03, "word": " أطالية", "probability": 0.5936279296875}, {"start": 302.03, "end": 302.35, "word": " حد", "probability": 0.86767578125}, {"start": 302.35, "end": 302.51, "word": " اللي", "probability": 0.70361328125}, {"start": 302.51, "end": 303.33, "word": " يستفسر", "probability": 0.759033203125}, {"start": 303.33, "end": 303.71, "word": " قبل", "probability": 0.993896484375}, {"start": 303.71, "end": 303.91, "word": " أن", "probability": 0.80810546875}, {"start": 303.91, "end": 304.35, "word": " ندخل", "probability": 0.96875}, {"start": 304.35, "end": 304.57, "word": " إلى", "probability": 0.86181640625}, {"start": 304.57, "end": 305.35, "word": " الأمثلة", "probability": 0.984375}, {"start": 305.35, "end": 307.49, "word": " طيب", "probability": 0.8323567708333334}, {"start": 307.49, "end": 307.97, "word": " المثال", "probability": 0.8426106770833334}, {"start": 307.97, "end": 308.41, "word": " الأول", "probability": 0.966552734375}], "temperature": 1.0}, {"id": 16, "seek": 33753, "start": 310.23, "end": 337.53, "text": "المثال الأول بيقول ما ياتي example one بيقول find the area of the region find the area of the region بدنا نجداش مساحة المنطقة inside", "tokens": [45340, 12984, 6027, 16247, 12610, 4724, 1829, 39648, 19446, 7251, 9307, 1829, 1365, 472, 4724, 1829, 39648, 915, 264, 1859, 295, 264, 4458, 915, 264, 1859, 295, 264, 4458, 47525, 8315, 8717, 7435, 3215, 33599, 47524, 39319, 3660, 9673, 1863, 9566, 28671, 1854], "avg_logprob": -0.1789772706952962, "compression_ratio": 1.4173228346456692, "no_speech_prob": 0.0, "words": [{"start": 310.23, "end": 310.85, "word": "المثال", "probability": 0.927734375}, {"start": 310.85, "end": 311.27, "word": " الأول", "probability": 0.8916015625}, {"start": 311.27, "end": 311.69, "word": " بيقول", "probability": 0.8846028645833334}, {"start": 311.69, "end": 311.99, "word": " ما", "probability": 0.91357421875}, {"start": 311.99, "end": 312.67, "word": " ياتي", "probability": 0.7766927083333334}, {"start": 312.67, "end": 313.25, "word": " example", "probability": 0.765625}, {"start": 313.25, "end": 318.95, "word": " one", "probability": 0.7685546875}, {"start": 318.95, "end": 323.07, "word": " بيقول", "probability": 0.8090006510416666}, {"start": 323.07, "end": 323.35, "word": " find", "probability": 0.88720703125}, {"start": 323.35, "end": 323.61, "word": " the", "probability": 0.8779296875}, {"start": 323.61, "end": 323.93, "word": " area", "probability": 0.87939453125}, {"start": 323.93, "end": 324.17, "word": " of", "probability": 0.9814453125}, {"start": 324.17, "end": 324.31, "word": " the", "probability": 0.8212890625}, {"start": 324.31, "end": 324.87, "word": " region", "probability": 0.95703125}, {"start": 324.87, "end": 325.71, "word": " find", "probability": 0.6064453125}, {"start": 325.71, "end": 327.47, "word": " the", "probability": 0.92041015625}, {"start": 327.47, "end": 329.23, "word": " area", "probability": 0.8671875}, {"start": 329.23, "end": 330.77, "word": " of", "probability": 0.98095703125}, {"start": 330.77, "end": 332.71, "word": " the", "probability": 0.89501953125}, {"start": 332.71, "end": 333.35, "word": " region", "probability": 0.95703125}, {"start": 333.35, "end": 334.13, "word": " بدنا", "probability": 0.7119140625}, {"start": 334.13, "end": 334.55, "word": " نجداش", "probability": 0.742340087890625}, {"start": 334.55, "end": 335.25, "word": " مساحة", "probability": 0.9415690104166666}, {"start": 335.25, "end": 336.21, "word": " المنطقة", "probability": 0.9915771484375}, {"start": 336.21, "end": 337.53, "word": " inside", "probability": 0.71337890625}], "temperature": 1.0}, {"id": 17, "seek": 35085, "start": 348.05, "end": 350.85, "text": "داخل المنسكيت", "tokens": [3215, 47283, 1211, 9673, 1863, 3794, 4117, 36081], "avg_logprob": -0.7439236111111112, "compression_ratio": 0.6944444444444444, "no_speech_prob": 0.0, "words": [{"start": 348.05000000000007, "end": 349.45000000000005, "word": "داخل", "probability": 0.7372639973958334}, {"start": 349.45000000000005, "end": 350.85, "word": " المنسكيت", "probability": 0.5055908203125}], "temperature": 1.0}, {"id": 18, "seek": 37141, "start": 355.15, "end": 371.41, "text": "اللي وصلنا من بارح طبعا في المحاضرة الماضية يوم أمس اللي هو R تربيع يسوى اتنين A تربيع كوصين اتنين ثيتا وال A greater than zero", "tokens": [6027, 20292, 4032, 36520, 8315, 9154, 4724, 9640, 5016, 23032, 3555, 3615, 995, 8978, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 7251, 20498, 5551, 2304, 3794, 13672, 1829, 31439, 497, 6055, 2288, 21292, 3615, 7251, 3794, 2407, 7578, 1975, 2655, 1863, 9957, 316, 6055, 2288, 21292, 3615, 9122, 2407, 9381, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 16070, 316, 5044, 813, 4018], "avg_logprob": -0.24536133091896772, "compression_ratio": 1.4256756756756757, "no_speech_prob": 0.0, "words": [{"start": 355.15, "end": 355.51, "word": "اللي", "probability": 0.649169921875}, {"start": 355.51, "end": 356.01, "word": " وصلنا", "probability": 0.9246419270833334}, {"start": 356.01, "end": 356.17, "word": " من", "probability": 0.3671875}, {"start": 356.17, "end": 356.55, "word": " بارح", "probability": 0.8723958333333334}, {"start": 356.55, "end": 356.91, "word": " طبعا", "probability": 0.8475341796875}, {"start": 356.91, "end": 357.03, "word": " في", "probability": 0.91455078125}, {"start": 357.03, "end": 357.73, "word": " المحاضرة", "probability": 0.9678955078125}, {"start": 357.73, "end": 358.25, "word": " الماضية", "probability": 0.9580078125}, {"start": 358.25, "end": 358.55, "word": " يوم", "probability": 0.912841796875}, {"start": 358.55, "end": 359.09, "word": " أمس", "probability": 0.8299967447916666}, {"start": 359.09, "end": 359.91, "word": " اللي", "probability": 0.6441650390625}, {"start": 359.91, "end": 360.03, "word": " هو", "probability": 0.791015625}, {"start": 360.03, "end": 360.39, "word": " R", "probability": 0.66796875}, {"start": 360.39, "end": 361.33, "word": " تربيع", "probability": 0.8319091796875}, {"start": 361.33, "end": 362.61, "word": " يسوى", "probability": 0.79278564453125}, {"start": 362.61, "end": 363.35, "word": " اتنين", "probability": 0.836669921875}, {"start": 363.35, "end": 363.85, "word": " A", "probability": 0.7412109375}, {"start": 363.85, "end": 364.93, "word": " تربيع", "probability": 0.9334716796875}, {"start": 364.93, "end": 366.15, "word": " كوصين", "probability": 0.60308837890625}, {"start": 366.15, "end": 366.93, "word": " اتنين", "probability": 0.82763671875}, {"start": 366.93, "end": 367.77, "word": " ثيتا", "probability": 0.78466796875}, {"start": 367.77, "end": 368.57, "word": " وال", "probability": 0.88232421875}, {"start": 368.57, "end": 369.21, "word": " A", "probability": 0.521484375}, {"start": 369.21, "end": 369.91, "word": " greater", "probability": 0.68505859375}, {"start": 369.91, "end": 370.77, "word": " than", "probability": 0.92626953125}, {"start": 370.77, "end": 371.41, "word": " zero", "probability": 0.50048828125}], "temperature": 1.0}, {"id": 19, "seek": 40909, "start": 379.11, "end": 409.09, "text": "هذه كانت في محاضرة الأمس لما رسمناها كان", "tokens": [3224, 24192, 25961, 2655, 8978, 3714, 5016, 46958, 25720, 16247, 2304, 3794, 5296, 15042, 12602, 38251, 8315, 11296, 25961], "avg_logprob": -0.41210938841104505, "compression_ratio": 1.0579710144927537, "no_speech_prob": 0.0030765533447265625, "words": [{"start": 379.11, "end": 379.51, "word": "هذه", "probability": 0.593994140625}, {"start": 379.51, "end": 380.01, "word": " كانت", "probability": 0.54937744140625}, {"start": 380.01, "end": 380.13, "word": " في", "probability": 0.88134765625}, {"start": 380.13, "end": 380.77, "word": " محاضرة", "probability": 0.9686279296875}, {"start": 380.77, "end": 381.51, "word": " الأمس", "probability": 0.9021809895833334}, {"start": 381.51, "end": 395.47, "word": " لما", "probability": 0.6778564453125}, {"start": 395.47, "end": 409.07, "word": " رسمناها", "probability": 0.9644775390625}, {"start": 409.07, "end": 409.09, "word": " كان", "probability": 0.76806640625}], "temperature": 1.0}, {"id": 20, "seek": 43548, "start": 409.4, "end": 435.48, "text": "ومن هنا طلع الشكل هداك يبقى هذه رسمة المنحنة اللى رسمناها يوم امس طبعا المنحنة متمثل بالنسبة لمحور X متمثل بالنسبة لمحور Y متمثل بالنسبة لل origin كذلك طب اذا انا لو جبت مساحة ورقة واحدة فقط وضربتها في اتنين بكون حصلت على المساحة المطلوبة", "tokens": [2407, 27842, 34105, 23032, 1211, 3615, 25124, 28820, 8032, 28259, 4117, 7251, 3555, 4587, 7578, 29538, 12602, 38251, 3660, 9673, 1863, 5016, 1863, 3660, 13672, 7578, 12602, 38251, 8315, 11296, 7251, 20498, 1975, 2304, 3794, 23032, 3555, 3615, 995, 9673, 1863, 5016, 1863, 3660, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 398, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 24976, 4957, 9122, 8848, 23275, 23032, 3555, 1975, 15730, 1975, 8315, 45164, 10874, 3555, 2655, 47524, 39319, 3660, 4032, 2288, 28671, 36764, 24401, 3660, 6156, 47432, 4032, 11242, 25513, 2655, 11296, 8978, 1975, 2655, 1863, 9957, 4724, 30544, 11331, 36520, 2655, 15844, 9673, 3794, 39319, 3660, 9673, 9566, 1211, 37746, 3660], "avg_logprob": -0.12481689045671374, "compression_ratio": 1.962962962962963, "no_speech_prob": 0.0, "words": [{"start": 409.4, "end": 409.84, "word": "ومن", "probability": 0.546875}, {"start": 409.84, "end": 410.24, "word": " هنا", "probability": 0.97607421875}, {"start": 410.24, "end": 410.94, "word": " طلع", "probability": 0.70947265625}, {"start": 410.94, "end": 411.54, "word": " الشكل", "probability": 0.906982421875}, {"start": 411.54, "end": 412.74, "word": " هداك", "probability": 0.4286295572916667}, {"start": 412.74, "end": 413.34, "word": " يبقى", "probability": 0.8311767578125}, {"start": 413.34, "end": 413.64, "word": " هذه", "probability": 0.335693359375}, {"start": 413.64, "end": 414.54, "word": " رسمة", "probability": 0.935546875}, {"start": 414.54, "end": 415.88, "word": " المنحنة", "probability": 0.90703125}, {"start": 415.88, "end": 416.58, "word": " اللى", "probability": 0.788818359375}, {"start": 416.58, "end": 417.52, "word": " رسمناها", "probability": 0.95849609375}, {"start": 417.52, "end": 417.96, "word": " يوم", "probability": 0.97021484375}, {"start": 417.96, "end": 418.4, "word": " امس", "probability": 0.7646484375}, {"start": 418.4, "end": 419.4, "word": " طبعا", "probability": 0.903076171875}, {"start": 419.4, "end": 419.96, "word": " المنحنة", "probability": 0.98671875}, {"start": 419.96, "end": 420.56, "word": " متمثل", "probability": 0.8531494140625}, {"start": 420.56, "end": 421.06, "word": " بالنسبة", "probability": 0.9708251953125}, {"start": 421.06, "end": 421.62, "word": " لمحور", "probability": 0.9742838541666666}, {"start": 421.62, "end": 422.02, "word": " X", "probability": 0.8173828125}, {"start": 422.02, "end": 422.68, "word": " متمثل", "probability": 0.895751953125}, {"start": 422.68, "end": 423.18, "word": " بالنسبة", "probability": 0.9969482421875}, {"start": 423.18, "end": 423.74, "word": " لمحور", "probability": 0.9820963541666666}, {"start": 423.74, "end": 424.12, "word": " Y", "probability": 0.98876953125}, {"start": 424.12, "end": 425.14, "word": " متمثل", "probability": 0.944580078125}, {"start": 425.14, "end": 425.7, "word": " بالنسبة", "probability": 0.997802734375}, {"start": 425.7, "end": 425.92, "word": " لل", "probability": 0.88330078125}, {"start": 425.92, "end": 426.48, "word": " origin", "probability": 0.908203125}, {"start": 426.48, "end": 427.54, "word": " كذلك", "probability": 0.98486328125}, {"start": 427.54, "end": 428.38, "word": " طب", "probability": 0.826416015625}, {"start": 428.38, "end": 428.72, "word": " اذا", "probability": 0.750732421875}, {"start": 428.72, "end": 428.96, "word": " انا", "probability": 0.873046875}, {"start": 428.96, "end": 429.24, "word": " لو", "probability": 0.96240234375}, {"start": 429.24, "end": 429.58, "word": " جبت", "probability": 0.9510091145833334}, {"start": 429.58, "end": 430.4, "word": " مساحة", "probability": 0.9861653645833334}, {"start": 430.4, "end": 431.0, "word": " ورقة", "probability": 0.9410807291666666}, {"start": 431.0, "end": 431.66, "word": " واحدة", "probability": 0.9560546875}, {"start": 431.66, "end": 431.98, "word": " فقط", "probability": 0.9853515625}, {"start": 431.98, "end": 432.7, "word": " وضربتها", "probability": 0.9501953125}, {"start": 432.7, "end": 432.84, "word": " في", "probability": 0.736328125}, {"start": 432.84, "end": 433.24, "word": " اتنين", "probability": 0.94580078125}, {"start": 433.24, "end": 433.58, "word": " بكون", "probability": 0.910888671875}, {"start": 433.58, "end": 434.12, "word": " حصلت", "probability": 0.9820963541666666}, {"start": 434.12, "end": 434.28, "word": " على", "probability": 0.9052734375}, {"start": 434.28, "end": 434.82, "word": " المساحة", "probability": 0.984130859375}, {"start": 434.82, "end": 435.48, "word": " المطلوبة", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 21, "seek": 45912, "start": 436.12, "end": 459.12, "text": "و احنا نقول له نص ورقة و نضربها في قداش اربعة نقول له مظبوط برضه كلامك صح قال لي لو روحت اخدت المساحة هذه فقط لغية و ان هنا ثيتا تساوي زيرو ستتغير الى ثيتا ديانها لبي على اربعة لو رجعنا بنرسم لامبارح رسمت في الدار", "tokens": [2407, 1975, 5016, 8315, 8717, 39648, 46740, 8717, 9381, 4032, 2288, 28671, 4032, 8717, 11242, 25513, 11296, 8978, 12174, 3215, 33599, 1975, 25513, 27884, 8717, 39648, 46740, 3714, 19913, 3555, 2407, 9566, 4724, 43042, 3224, 28242, 10943, 4117, 20328, 5016, 50239, 32239, 45164, 12602, 2407, 33753, 1975, 9778, 3215, 2655, 9673, 3794, 39319, 3660, 29538, 6156, 47432, 5296, 17082, 10632, 4032, 16472, 34105, 38637, 36081, 995, 6055, 3794, 995, 45865, 30767, 13546, 2407, 8608, 2655, 2655, 17082, 13546, 2423, 7578, 38637, 36081, 995, 11778, 1829, 7649, 11296, 5296, 21292, 15844, 1975, 25513, 27884, 45164, 12602, 7435, 3615, 8315, 44945, 2288, 38251, 5296, 10943, 3555, 9640, 5016, 12602, 38251, 2655, 8978, 32748, 9640], "avg_logprob": -0.3304756510574206, "compression_ratio": 1.914572864321608, "no_speech_prob": 0.0, "words": [{"start": 436.12, "end": 436.36, "word": "و", "probability": 0.2015380859375}, {"start": 436.36, "end": 436.66, "word": " احنا", "probability": 0.3854573567708333}, {"start": 436.66, "end": 437.0, "word": " نقول", "probability": 0.697998046875}, {"start": 437.0, "end": 437.16, "word": " له", "probability": 0.303466796875}, {"start": 437.16, "end": 437.54, "word": " نص", "probability": 0.743408203125}, {"start": 437.54, "end": 438.12, "word": " ورقة", "probability": 0.8190104166666666}, {"start": 438.12, "end": 438.28, "word": " و", "probability": 0.7001953125}, {"start": 438.28, "end": 438.6, "word": " نضربها", "probability": 0.67547607421875}, {"start": 438.6, "end": 438.72, "word": " في", "probability": 0.55615234375}, {"start": 438.72, "end": 439.28, "word": " قداش", "probability": 0.638671875}, {"start": 439.28, "end": 440.1, "word": " اربعة", "probability": 0.6474202473958334}, {"start": 440.1, "end": 440.46, "word": " نقول", "probability": 0.7098388671875}, {"start": 440.46, "end": 440.6, "word": " له", "probability": 0.46484375}, {"start": 440.6, "end": 441.14, "word": " مظبوط", "probability": 0.9}, {"start": 441.14, "end": 441.5, "word": " برضه", "probability": 0.83837890625}, {"start": 441.5, "end": 442.04, "word": " كلامك", "probability": 0.93701171875}, {"start": 442.04, "end": 442.34, "word": " صح", "probability": 0.99658203125}, {"start": 442.34, "end": 443.06, "word": " قال", "probability": 0.85546875}, {"start": 443.06, "end": 443.2, "word": " لي", "probability": 0.2880859375}, {"start": 443.2, "end": 443.38, "word": " لو", "probability": 0.8955078125}, {"start": 443.38, "end": 443.78, "word": " روحت", "probability": 0.796875}, {"start": 443.78, "end": 444.38, "word": " اخدت", "probability": 0.8402099609375}, {"start": 444.38, "end": 445.2, "word": " المساحة", "probability": 0.9569091796875}, {"start": 445.2, "end": 445.54, "word": " هذه", "probability": 0.56640625}, {"start": 445.54, "end": 446.22, "word": " فقط", "probability": 0.98291015625}, {"start": 446.22, "end": 446.86, "word": " لغية", "probability": 0.7333984375}, {"start": 446.86, "end": 447.68, "word": " و", "probability": 0.93505859375}, {"start": 447.68, "end": 447.92, "word": " ان", "probability": 0.68701171875}, {"start": 447.92, "end": 448.28, "word": " هنا", "probability": 0.97314453125}, {"start": 448.28, "end": 448.88, "word": " ثيتا", "probability": 0.6238606770833334}, {"start": 448.88, "end": 449.58, "word": " تساوي", "probability": 0.950927734375}, {"start": 449.58, "end": 450.16, "word": " زيرو", "probability": 0.7420247395833334}, {"start": 450.16, "end": 451.28, "word": " ستتغير", "probability": 0.9798828125}, {"start": 451.28, "end": 452.02, "word": " الى", "probability": 0.81640625}, {"start": 452.02, "end": 452.7, "word": " ثيتا", "probability": 0.8992513020833334}, {"start": 452.7, "end": 454.08, "word": " ديانها", "probability": 0.492523193359375}, {"start": 454.08, "end": 454.72, "word": " لبي", "probability": 0.31591796875}, {"start": 454.72, "end": 455.14, "word": " على", "probability": 0.49755859375}, {"start": 455.14, "end": 455.64, "word": " اربعة", "probability": 0.81298828125}, {"start": 455.64, "end": 455.9, "word": " لو", "probability": 0.8369140625}, {"start": 455.9, "end": 456.46, "word": " رجعنا", "probability": 0.961669921875}, {"start": 456.46, "end": 457.02, "word": " بنرسم", "probability": 0.761962890625}, {"start": 457.02, "end": 457.74, "word": " لامبارح", "probability": 0.781201171875}, {"start": 457.74, "end": 458.48, "word": " رسمت", "probability": 0.94091796875}, {"start": 458.48, "end": 458.66, "word": " في", "probability": 0.7392578125}, {"start": 458.66, "end": 459.12, "word": " الدار", "probability": 0.950927734375}], "temperature": 1.0}, {"id": 22, "seek": 47520, "start": 459.34, "end": 475.2, "text": "هتلاقي عند الـ pi على 4 بتاخد قداش القيمة صفر و عند الصفر بتاخد القيمة 2A تربيع، يعني إحداثيات النقطة هذه، اللي هي 2A تربيع و Zero", "tokens": [3224, 2655, 15040, 38436, 43242, 2423, 39184, 3895, 15844, 1017, 39894, 47283, 3215, 12174, 3215, 33599, 25062, 32640, 3660, 20328, 5172, 2288, 4032, 43242, 31767, 5172, 2288, 39894, 47283, 3215, 25062, 32640, 3660, 568, 32, 6055, 2288, 21292, 3615, 12399, 37495, 22653, 11933, 24401, 5718, 104, 1829, 9307, 28239, 47432, 3660, 29538, 12399, 13672, 1829, 39896, 568, 32, 6055, 2288, 21292, 3615, 4032, 17182], "avg_logprob": -0.26153846153846155, "compression_ratio": 1.5379310344827586, "no_speech_prob": 0.0, "words": [{"start": 459.34, "end": 459.94, "word": "هتلاقي", "probability": 0.762451171875}, {"start": 459.94, "end": 460.16, "word": " عند", "probability": 0.91015625}, {"start": 460.16, "end": 460.36, "word": " الـ", "probability": 0.4912109375}, {"start": 460.36, "end": 460.48, "word": " pi", "probability": 0.145263671875}, {"start": 460.48, "end": 460.7, "word": " على", "probability": 0.404541015625}, {"start": 460.7, "end": 461.0, "word": " 4", "probability": 0.66162109375}, {"start": 461.0, "end": 461.46, "word": " بتاخد", "probability": 0.7837727864583334}, {"start": 461.46, "end": 461.96, "word": " قداش", "probability": 0.8094075520833334}, {"start": 461.96, "end": 462.94, "word": " القيمة", "probability": 0.9176432291666666}, {"start": 462.94, "end": 463.54, "word": " صفر", "probability": 0.8995768229166666}, {"start": 463.54, "end": 464.04, "word": " و", "probability": 0.69775390625}, {"start": 464.04, "end": 464.44, "word": " عند", "probability": 0.5673828125}, {"start": 464.44, "end": 465.06, "word": " الصفر", "probability": 0.9541015625}, {"start": 465.06, "end": 465.88, "word": " بتاخد", "probability": 0.9698893229166666}, {"start": 465.88, "end": 466.68, "word": " القيمة", "probability": 0.9143880208333334}, {"start": 466.68, "end": 467.74, "word": " 2A", "probability": 0.56298828125}, {"start": 467.74, "end": 468.62, "word": " تربيع،", "probability": 0.769775390625}, {"start": 468.62, "end": 469.24, "word": " يعني", "probability": 0.89501953125}, {"start": 469.24, "end": 470.26, "word": " إحداثيات", "probability": 0.9205729166666666}, {"start": 470.26, "end": 471.04, "word": " النقطة", "probability": 0.9886067708333334}, {"start": 471.04, "end": 471.92, "word": " هذه،", "probability": 0.591552734375}, {"start": 471.92, "end": 472.08, "word": " اللي", "probability": 0.824462890625}, {"start": 472.08, "end": 472.26, "word": " هي", "probability": 0.79541015625}, {"start": 472.26, "end": 473.54, "word": " 2A", "probability": 0.9501953125}, {"start": 473.54, "end": 474.64, "word": " تربيع", "probability": 0.95947265625}, {"start": 474.64, "end": 474.9, "word": " و", "probability": 0.9169921875}, {"start": 474.9, "end": 475.2, "word": " Zero", "probability": 0.479248046875}], "temperature": 1.0}, {"id": 23, "seek": 50348, "start": 476.62, "end": 503.48, "text": "بعدها اللي بتوصل عند ال باي على أربعة بيصير قداش اتنين في باي على أربعة بتسعين جتا تسعين بزيرو بتكون ال R تساوي زيرو عند ال باي على أربعة يبقى تكامل من صفر إلى باي على أربعة وضد ربع في أربعة نحصل على مين على المطابق او لو بدك تاخد الورقة كلها سيكون التغير man", "tokens": [3555, 22488, 11296, 13672, 1829, 39894, 2407, 36520, 43242, 2423, 4724, 47302, 15844, 5551, 25513, 27884, 4724, 1829, 9381, 13546, 12174, 3215, 33599, 1975, 2655, 1863, 9957, 8978, 4724, 47302, 15844, 5551, 25513, 27884, 4724, 2655, 3794, 3615, 9957, 10874, 2655, 995, 6055, 3794, 3615, 9957, 4724, 11622, 13546, 2407, 39894, 30544, 2423, 497, 6055, 3794, 995, 45865, 30767, 13546, 2407, 43242, 2423, 4724, 47302, 15844, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 6055, 4117, 10943, 1211, 9154, 20328, 5172, 2288, 30731, 4724, 47302, 15844, 5551, 25513, 27884, 4032, 11242, 3215, 12602, 3555, 3615, 8978, 5551, 25513, 27884, 8717, 5016, 36520, 15844, 3714, 9957, 15844, 9673, 9566, 16758, 4587, 1975, 2407, 45164, 47525, 4117, 6055, 47283, 3215, 2423, 13063, 28671, 28242, 11296, 8608, 1829, 30544, 16712, 17082, 13546, 587], "avg_logprob": -0.2176682621240616, "compression_ratio": 2.1296296296296298, "no_speech_prob": 0.0, "words": [{"start": 476.62, "end": 477.28, "word": "بعدها", "probability": 0.7526041666666666}, {"start": 477.28, "end": 477.44, "word": " اللي", "probability": 0.55908203125}, {"start": 477.44, "end": 478.1, "word": " بتوصل", "probability": 0.8079427083333334}, {"start": 478.1, "end": 478.42, "word": " عند", "probability": 0.923828125}, {"start": 478.42, "end": 478.62, "word": " ال", "probability": 0.73974609375}, {"start": 478.62, "end": 478.8, "word": " باي", "probability": 0.360504150390625}, {"start": 478.8, "end": 479.02, "word": " على", "probability": 0.775390625}, {"start": 479.02, "end": 479.58, "word": " أربعة", "probability": 0.7975260416666666}, {"start": 479.58, "end": 480.1, "word": " بيصير", "probability": 0.74029541015625}, {"start": 480.1, "end": 480.64, "word": " قداش", "probability": 0.731689453125}, {"start": 480.64, "end": 481.0, "word": " اتنين", "probability": 0.8836669921875}, {"start": 481.0, "end": 481.12, "word": " في", "probability": 0.833984375}, {"start": 481.12, "end": 481.34, "word": " باي", "probability": 0.798583984375}, {"start": 481.34, "end": 481.56, "word": " على", "probability": 0.92236328125}, {"start": 481.56, "end": 482.22, "word": " أربعة", "probability": 0.8720703125}, {"start": 482.22, "end": 483.4, "word": " بتسعين", "probability": 0.7224609375}, {"start": 483.4, "end": 483.84, "word": " جتا", "probability": 0.8748372395833334}, {"start": 483.84, "end": 484.6, "word": " تسعين", "probability": 0.9835205078125}, {"start": 484.6, "end": 485.56, "word": " بزيرو", "probability": 0.76031494140625}, {"start": 485.56, "end": 486.12, "word": " بتكون", "probability": 0.788818359375}, {"start": 486.12, "end": 486.34, "word": " ال", "probability": 0.916015625}, {"start": 486.34, "end": 486.76, "word": " R", "probability": 0.5849609375}, {"start": 486.76, "end": 487.46, "word": " تساوي", "probability": 0.79095458984375}, {"start": 487.46, "end": 487.96, "word": " زيرو", "probability": 0.86669921875}, {"start": 487.96, "end": 488.28, "word": " عند", "probability": 0.9248046875}, {"start": 488.28, "end": 488.48, "word": " ال", "probability": 0.8388671875}, {"start": 488.48, "end": 488.66, "word": " باي", "probability": 0.847900390625}, {"start": 488.66, "end": 488.9, "word": " على", "probability": 0.9169921875}, {"start": 488.9, "end": 489.4, "word": " أربعة", "probability": 0.9039713541666666}, {"start": 489.4, "end": 490.16, "word": " يبقى", "probability": 0.9105224609375}, {"start": 490.16, "end": 490.78, "word": " تكامل", "probability": 0.9034423828125}, {"start": 490.78, "end": 490.98, "word": " من", "probability": 0.99267578125}, {"start": 490.98, "end": 491.42, "word": " صفر", "probability": 0.9552408854166666}, {"start": 491.42, "end": 491.76, "word": " إلى", "probability": 0.75390625}, {"start": 491.76, "end": 492.28, "word": " باي", "probability": 0.878173828125}, {"start": 492.28, "end": 492.76, "word": " على", "probability": 0.9541015625}, {"start": 492.76, "end": 493.74, "word": " أربعة", "probability": 0.939453125}, {"start": 493.74, "end": 494.52, "word": " وضد", "probability": 0.5248209635416666}, {"start": 494.52, "end": 494.92, "word": " ربع", "probability": 0.9015299479166666}, {"start": 494.92, "end": 495.16, "word": " في", "probability": 0.9599609375}, {"start": 495.16, "end": 495.86, "word": " أربعة", "probability": 0.9396158854166666}, {"start": 495.86, "end": 496.68, "word": " نحصل", "probability": 0.92822265625}, {"start": 496.68, "end": 496.94, "word": " على", "probability": 0.84765625}, {"start": 496.94, "end": 497.36, "word": " مين", "probability": 0.8203125}, {"start": 497.36, "end": 497.92, "word": " على", "probability": 0.5439453125}, {"start": 497.92, "end": 498.68, "word": " المطابق", "probability": 0.77734375}, {"start": 498.68, "end": 498.92, "word": " او", "probability": 0.748046875}, {"start": 498.92, "end": 499.06, "word": " لو", "probability": 0.978515625}, {"start": 499.06, "end": 499.36, "word": " بدك", "probability": 0.923583984375}, {"start": 499.36, "end": 499.76, "word": " تاخد", "probability": 0.9744466145833334}, {"start": 499.76, "end": 500.36, "word": " الورقة", "probability": 0.9558919270833334}, {"start": 500.36, "end": 501.26, "word": " كلها", "probability": 0.9541015625}, {"start": 501.26, "end": 501.98, "word": " سيكون", "probability": 0.9568684895833334}, {"start": 501.98, "end": 502.8, "word": " التغير", "probability": 0.9573567708333334}, {"start": 502.8, "end": 503.48, "word": " man", "probability": 0.5458984375}], "temperature": 1.0}, {"id": 24, "seek": 53259, "start": 504.65, "end": 532.59, "text": "سالة باي على أربعة إلى مين إلى باي على أربعة سيئا هذه والله هذه معناها مشكلة على أي حال يبقى بدنا نيجي نقوله ال area المطلوبة بده يساوي تكامل لنصف Alpha إلى Beta يبقى من Zero لباي على أربعة يبقى هذه جابتلي ربع المساحة فبالتالي بروح بضرب التكامل كله في أربعة", "tokens": [3794, 6027, 3660, 4724, 47302, 15844, 5551, 25513, 27884, 30731, 3714, 9957, 30731, 4724, 47302, 15844, 5551, 25513, 27884, 8608, 1829, 19986, 995, 29538, 16070, 43761, 29538, 20449, 8315, 11296, 37893, 28820, 3660, 15844, 36632, 11331, 6027, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 1829, 7435, 1829, 8717, 39648, 3224, 2423, 1859, 9673, 9566, 1211, 37746, 3660, 47525, 3224, 7251, 3794, 995, 45865, 6055, 4117, 10943, 1211, 5296, 1863, 9381, 5172, 20588, 30731, 33286, 7251, 3555, 4587, 7578, 9154, 17182, 5296, 3555, 47302, 15844, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 29538, 10874, 16758, 2655, 20292, 12602, 3555, 3615, 9673, 3794, 39319, 3660, 6156, 3555, 6027, 2655, 6027, 1829, 4724, 32887, 5016, 4724, 11242, 25513, 16712, 4117, 10943, 1211, 28242, 3224, 8978, 5551, 25513, 27884], "avg_logprob": -0.2149057589353077, "compression_ratio": 1.9691629955947136, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 504.65, "end": 505.57, "word": "سالة", "probability": 0.4920247395833333}, {"start": 505.57, "end": 505.95, "word": " باي", "probability": 0.52880859375}, {"start": 505.95, "end": 506.33, "word": " على", "probability": 0.67333984375}, {"start": 506.33, "end": 507.31, "word": " أربعة", "probability": 0.85302734375}, {"start": 507.31, "end": 508.81, "word": " إلى", "probability": 0.66552734375}, {"start": 508.81, "end": 509.39, "word": " مين", "probability": 0.599365234375}, {"start": 509.39, "end": 509.75, "word": " إلى", "probability": 0.53271484375}, {"start": 509.75, "end": 510.27, "word": " باي", "probability": 0.839599609375}, {"start": 510.27, "end": 510.55, "word": " على", "probability": 0.93212890625}, {"start": 510.55, "end": 510.95, "word": " أربعة", "probability": 0.9404296875}, {"start": 510.95, "end": 511.49, "word": " سيئا", "probability": 0.498291015625}, {"start": 511.49, "end": 511.79, "word": " هذه", "probability": 0.463134765625}, {"start": 511.79, "end": 512.09, "word": " والله", "probability": 0.686767578125}, {"start": 512.09, "end": 512.33, "word": " هذه", "probability": 0.685546875}, {"start": 512.33, "end": 512.73, "word": " معناها", "probability": 0.7845052083333334}, {"start": 512.73, "end": 513.27, "word": " مشكلة", "probability": 0.9747721354166666}, {"start": 513.27, "end": 513.59, "word": " على", "probability": 0.89404296875}, {"start": 513.59, "end": 513.81, "word": " أي", "probability": 0.75048828125}, {"start": 513.81, "end": 514.13, "word": " حال", "probability": 0.990478515625}, {"start": 514.13, "end": 515.15, "word": " يبقى", "probability": 0.94677734375}, {"start": 515.15, "end": 515.47, "word": " بدنا", "probability": 0.411865234375}, {"start": 515.47, "end": 515.69, "word": " نيجي", "probability": 0.9013671875}, {"start": 515.69, "end": 516.11, "word": " نقوله", "probability": 0.818359375}, {"start": 516.11, "end": 516.31, "word": " ال", "probability": 0.875}, {"start": 516.31, "end": 516.77, "word": " area", "probability": 0.85107421875}, {"start": 516.77, "end": 517.89, "word": " المطلوبة", "probability": 0.9412109375}, {"start": 517.89, "end": 518.25, "word": " بده", "probability": 0.6697998046875}, {"start": 518.25, "end": 518.73, "word": " يساوي", "probability": 0.833251953125}, {"start": 518.73, "end": 519.81, "word": " تكامل", "probability": 0.9859619140625}, {"start": 519.81, "end": 520.93, "word": " لنصف", "probability": 0.79229736328125}, {"start": 520.93, "end": 521.33, "word": " Alpha", "probability": 0.53857421875}, {"start": 521.33, "end": 521.79, "word": " إلى", "probability": 0.88134765625}, {"start": 521.79, "end": 522.25, "word": " Beta", "probability": 0.76953125}, {"start": 522.25, "end": 522.81, "word": " يبقى", "probability": 0.9874267578125}, {"start": 522.81, "end": 523.09, "word": " من", "probability": 0.9921875}, {"start": 523.09, "end": 523.55, "word": " Zero", "probability": 0.5634765625}, {"start": 523.55, "end": 524.35, "word": " لباي", "probability": 0.6902669270833334}, {"start": 524.35, "end": 524.79, "word": " على", "probability": 0.95361328125}, {"start": 524.79, "end": 525.47, "word": " أربعة", "probability": 0.92724609375}, {"start": 525.47, "end": 526.27, "word": " يبقى", "probability": 0.9859619140625}, {"start": 526.27, "end": 526.59, "word": " هذه", "probability": 0.865234375}, {"start": 526.59, "end": 527.27, "word": " جابتلي", "probability": 0.9114990234375}, {"start": 527.27, "end": 527.75, "word": " ربع", "probability": 0.97314453125}, {"start": 527.75, "end": 528.85, "word": " المساحة", "probability": 0.97119140625}, {"start": 528.85, "end": 529.81, "word": " فبالتالي", "probability": 0.9781901041666666}, {"start": 529.81, "end": 530.23, "word": " بروح", "probability": 0.9803059895833334}, {"start": 530.23, "end": 530.61, "word": " بضرب", "probability": 0.752685546875}, {"start": 530.61, "end": 531.39, "word": " التكامل", "probability": 0.9847412109375}, {"start": 531.39, "end": 531.93, "word": " كله", "probability": 0.973388671875}, {"start": 531.93, "end": 532.13, "word": " في", "probability": 0.98828125}, {"start": 532.13, "end": 532.59, "word": " أربعة", "probability": 0.9459635416666666}], "temperature": 1.0}, {"id": 25, "seek": 55509, "start": 533.13, "end": 555.09, "text": "طيب R تربيع اروح اربع هذه ولا جاهزة؟ جاهزة مية المية بس لو كانت R تساوي بروح اربعها لكن كونها R تربيع يبقى جاهزة وخالصة اتنين A تربيع كوسين اتنين ثيتا كله بالنسبة للعميم لديه ثيتا اظن اتنين مع اتنين بتروح", "tokens": [9566, 1829, 3555, 497, 6055, 2288, 21292, 3615, 1975, 32887, 5016, 1975, 25513, 3615, 29538, 49429, 10874, 40294, 11622, 3660, 22807, 10874, 40294, 11622, 3660, 3714, 10632, 9673, 10632, 4724, 3794, 45164, 25961, 2655, 497, 6055, 3794, 995, 45865, 4724, 32887, 5016, 1975, 25513, 3615, 11296, 44381, 9122, 11536, 11296, 497, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 10874, 40294, 11622, 3660, 4032, 9778, 6027, 9381, 3660, 1975, 2655, 1863, 9957, 316, 6055, 2288, 21292, 3615, 9122, 41779, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 28242, 3224, 20666, 1863, 35457, 3660, 24976, 25957, 32640, 5296, 16254, 3224, 38637, 36081, 995, 1975, 19913, 1863, 1975, 2655, 1863, 9957, 20449, 1975, 2655, 1863, 9957, 39894, 32887, 5016], "avg_logprob": -0.190015892356129, "compression_ratio": 2.022222222222222, "no_speech_prob": 0.0, "words": [{"start": 533.13, "end": 533.65, "word": "طيب", "probability": 0.7781575520833334}, {"start": 533.65, "end": 533.97, "word": " R", "probability": 0.455810546875}, {"start": 533.97, "end": 534.47, "word": " تربيع", "probability": 0.8055419921875}, {"start": 534.47, "end": 534.81, "word": " اروح", "probability": 0.621337890625}, {"start": 534.81, "end": 535.27, "word": " اربع", "probability": 0.8447265625}, {"start": 535.27, "end": 535.69, "word": " هذه", "probability": 0.634765625}, {"start": 535.69, "end": 535.97, "word": " ولا", "probability": 0.5078125}, {"start": 535.97, "end": 537.15, "word": " جاهزة؟", "probability": 0.785546875}, {"start": 537.15, "end": 537.93, "word": " جاهزة", "probability": 0.97998046875}, {"start": 537.93, "end": 538.17, "word": " مية", "probability": 0.693115234375}, {"start": 538.17, "end": 538.67, "word": " المية", "probability": 0.64306640625}, {"start": 538.67, "end": 539.27, "word": " بس", "probability": 0.83203125}, {"start": 539.27, "end": 539.51, "word": " لو", "probability": 0.98876953125}, {"start": 539.51, "end": 540.15, "word": " كانت", "probability": 0.97412109375}, {"start": 540.15, "end": 540.43, "word": " R", "probability": 0.93505859375}, {"start": 540.43, "end": 540.93, "word": " تساوي", "probability": 0.8048095703125}, {"start": 540.93, "end": 541.31, "word": " بروح", "probability": 0.9235026041666666}, {"start": 541.31, "end": 541.87, "word": " اربعها", "probability": 0.91259765625}, {"start": 541.87, "end": 542.13, "word": " لكن", "probability": 0.61279296875}, {"start": 542.13, "end": 542.63, "word": " كونها", "probability": 0.9034830729166666}, {"start": 542.63, "end": 542.85, "word": " R", "probability": 0.9638671875}, {"start": 542.85, "end": 543.29, "word": " تربيع", "probability": 0.9373779296875}, {"start": 543.29, "end": 543.61, "word": " يبقى", "probability": 0.8670654296875}, {"start": 543.61, "end": 544.15, "word": " جاهزة", "probability": 0.98486328125}, {"start": 544.15, "end": 545.41, "word": " وخالصة", "probability": 0.91025390625}, {"start": 545.41, "end": 546.19, "word": " اتنين", "probability": 0.916748046875}, {"start": 546.19, "end": 546.51, "word": " A", "probability": 0.65576171875}, {"start": 546.51, "end": 547.35, "word": " تربيع", "probability": 0.9384765625}, {"start": 547.35, "end": 548.03, "word": " كوسين", "probability": 0.4768880208333333}, {"start": 548.03, "end": 548.73, "word": " اتنين", "probability": 0.98046875}, {"start": 548.73, "end": 549.37, "word": " ثيتا", "probability": 0.8702799479166666}, {"start": 549.37, "end": 549.89, "word": " كله", "probability": 0.93017578125}, {"start": 549.89, "end": 550.37, "word": " بالنسبة", "probability": 0.986083984375}, {"start": 550.37, "end": 550.89, "word": " للعميم", "probability": 0.5130208333333334}, {"start": 550.89, "end": 551.81, "word": " لديه", "probability": 0.74853515625}, {"start": 551.81, "end": 552.27, "word": " ثيتا", "probability": 0.8507486979166666}, {"start": 552.27, "end": 553.07, "word": " اظن", "probability": 0.9469401041666666}, {"start": 553.07, "end": 553.69, "word": " اتنين", "probability": 0.9864501953125}, {"start": 553.69, "end": 553.91, "word": " مع", "probability": 0.99462890625}, {"start": 553.91, "end": 554.41, "word": " اتنين", "probability": 0.990478515625}, {"start": 554.41, "end": 555.09, "word": " بتروح", "probability": 0.943359375}], "temperature": 1.0}, {"id": 26, "seek": 57237, "start": 555.29, "end": 572.37, "text": "بظل يساوي اربعة تكامل من zero لغاية pi على اربعة ل cosine اتنين theta d theta و بطلع ال a تربيع برا هيها بشكل انا ده اربعة a تربيع", "tokens": [3555, 19913, 1211, 7251, 3794, 995, 45865, 1975, 25513, 27884, 6055, 4117, 10943, 1211, 9154, 4018, 5296, 17082, 995, 10632, 3895, 15844, 1975, 25513, 27884, 5296, 23565, 1975, 2655, 1863, 9957, 9725, 274, 9725, 4032, 4724, 9566, 1211, 3615, 2423, 257, 6055, 2288, 21292, 3615, 4724, 23557, 39896, 11296, 4724, 8592, 28820, 1975, 8315, 11778, 3224, 1975, 25513, 27884, 257, 6055, 2288, 21292, 3615], "avg_logprob": -0.25841346153846156, "compression_ratio": 1.4785714285714286, "no_speech_prob": 0.0, "words": [{"start": 555.29, "end": 555.93, "word": "بظل", "probability": 0.599853515625}, {"start": 555.93, "end": 556.71, "word": " يساوي", "probability": 0.9349365234375}, {"start": 556.71, "end": 557.41, "word": " اربعة", "probability": 0.7070719401041666}, {"start": 557.41, "end": 558.21, "word": " تكامل", "probability": 0.9559326171875}, {"start": 558.21, "end": 558.43, "word": " من", "probability": 0.97900390625}, {"start": 558.43, "end": 558.79, "word": " zero", "probability": 0.447021484375}, {"start": 558.79, "end": 559.49, "word": " لغاية", "probability": 0.9686279296875}, {"start": 559.49, "end": 559.83, "word": " pi", "probability": 0.3701171875}, {"start": 559.83, "end": 560.15, "word": " على", "probability": 0.376953125}, {"start": 560.15, "end": 560.97, "word": " اربعة", "probability": 0.8751627604166666}, {"start": 560.97, "end": 561.61, "word": " ل", "probability": 0.6689453125}, {"start": 561.61, "end": 562.31, "word": " cosine", "probability": 0.3583984375}, {"start": 562.31, "end": 563.51, "word": " اتنين", "probability": 0.880126953125}, {"start": 563.51, "end": 564.11, "word": " theta", "probability": 0.494384765625}, {"start": 564.11, "end": 564.51, "word": " d", "probability": 0.63427734375}, {"start": 564.51, "end": 564.97, "word": " theta", "probability": 0.80908203125}, {"start": 564.97, "end": 565.13, "word": " و", "probability": 0.5302734375}, {"start": 565.13, "end": 565.85, "word": " بطلع", "probability": 0.89990234375}, {"start": 565.85, "end": 566.03, "word": " ال", "probability": 0.78759765625}, {"start": 566.03, "end": 566.37, "word": " a", "probability": 0.79443359375}, {"start": 566.37, "end": 567.23, "word": " تربيع", "probability": 0.82080078125}, {"start": 567.23, "end": 568.41, "word": " برا", "probability": 0.841064453125}, {"start": 568.41, "end": 569.25, "word": " هيها", "probability": 0.821044921875}, {"start": 569.25, "end": 569.85, "word": " بشكل", "probability": 0.7880859375}, {"start": 569.85, "end": 570.19, "word": " انا", "probability": 0.6287841796875}, {"start": 570.19, "end": 570.73, "word": " ده", "probability": 0.90576171875}, {"start": 570.73, "end": 571.55, "word": " اربعة", "probability": 0.84912109375}, {"start": 571.55, "end": 571.89, "word": " a", "probability": 0.9228515625}, {"start": 571.89, "end": 572.37, "word": " تربيع", "probability": 0.9417724609375}], "temperature": 1.0}, {"id": 27, "seek": 60310, "start": 573.6, "end": 603.1, "text": "هذا الكلام بده يساوي اربعة ا تربيع و تفاضل cosine بsin اتنين ثيتا على اتنين و الحكي هذا من zero لغاية pi على اربعة يبقى اتنين ا تربيع فيه sign pi على اربعة بيضل هنا sign pi على اتنين جه تسعين بواحد ناقص zero يبقى الجواب اتنين ا تربيع", "tokens": [3224, 15730, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 1975, 25513, 27884, 1975, 6055, 2288, 21292, 3615, 4032, 6055, 5172, 46958, 1211, 23565, 4724, 19767, 1975, 2655, 1863, 9957, 38637, 36081, 995, 15844, 1975, 2655, 1863, 9957, 4032, 21542, 4117, 1829, 23758, 9154, 4018, 5296, 17082, 995, 10632, 3895, 15844, 1975, 25513, 27884, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 1975, 6055, 2288, 21292, 3615, 8978, 3224, 1465, 3895, 15844, 1975, 25513, 27884, 4724, 1829, 11242, 1211, 34105, 1465, 3895, 15844, 1975, 2655, 1863, 9957, 10874, 3224, 6055, 3794, 3615, 9957, 4724, 14407, 24401, 8717, 995, 4587, 9381, 4018, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 1975, 2655, 1863, 9957, 1975, 6055, 2288, 21292, 3615], "avg_logprob": -0.20259978791244893, "compression_ratio": 2.036842105263158, "no_speech_prob": 0.0, "words": [{"start": 573.6, "end": 573.98, "word": "هذا", "probability": 0.900146484375}, {"start": 573.98, "end": 574.44, "word": " الكلام", "probability": 0.9327799479166666}, {"start": 574.44, "end": 574.8, "word": " بده", "probability": 0.49310302734375}, {"start": 574.8, "end": 575.32, "word": " يساوي", "probability": 0.85595703125}, {"start": 575.32, "end": 576.02, "word": " اربعة", "probability": 0.6432291666666666}, {"start": 576.02, "end": 576.22, "word": " ا", "probability": 0.85888671875}, {"start": 576.22, "end": 576.9, "word": " تربيع", "probability": 0.6781005859375}, {"start": 576.9, "end": 577.38, "word": " و", "probability": 0.5126953125}, {"start": 577.38, "end": 577.98, "word": " تفاضل", "probability": 0.797607421875}, {"start": 577.98, "end": 578.58, "word": " cosine", "probability": 0.330078125}, {"start": 578.58, "end": 579.34, "word": " بsin", "probability": 0.65869140625}, {"start": 579.34, "end": 580.02, "word": " اتنين", "probability": 0.941162109375}, {"start": 580.02, "end": 580.7, "word": " ثيتا", "probability": 0.7073567708333334}, {"start": 580.7, "end": 581.02, "word": " على", "probability": 0.6953125}, {"start": 581.02, "end": 581.68, "word": " اتنين", "probability": 0.9866943359375}, {"start": 581.68, "end": 582.2, "word": " و", "probability": 0.71044921875}, {"start": 582.2, "end": 582.72, "word": " الحكي", "probability": 0.7601725260416666}, {"start": 582.72, "end": 582.98, "word": " هذا", "probability": 0.8759765625}, {"start": 582.98, "end": 583.26, "word": " من", "probability": 0.9873046875}, {"start": 583.26, "end": 583.6, "word": " zero", "probability": 0.59326171875}, {"start": 583.6, "end": 584.34, "word": " لغاية", "probability": 0.9876708984375}, {"start": 584.34, "end": 584.92, "word": " pi", "probability": 0.2242431640625}, {"start": 584.92, "end": 585.72, "word": " على", "probability": 0.78857421875}, {"start": 585.72, "end": 586.42, "word": " اربعة", "probability": 0.8408203125}, {"start": 586.42, "end": 587.46, "word": " يبقى", "probability": 0.9564208984375}, {"start": 587.46, "end": 588.28, "word": " اتنين", "probability": 0.9732666015625}, {"start": 588.28, "end": 588.7, "word": " ا", "probability": 0.90380859375}, {"start": 588.7, "end": 589.8, "word": " تربيع", "probability": 0.9105224609375}, {"start": 589.8, "end": 590.5, "word": " فيه", "probability": 0.90283203125}, {"start": 590.5, "end": 591.06, "word": " sign", "probability": 0.2242431640625}, {"start": 591.06, "end": 591.44, "word": " pi", "probability": 0.87548828125}, {"start": 591.44, "end": 591.86, "word": " على", "probability": 0.87255859375}, {"start": 591.86, "end": 592.62, "word": " اربعة", "probability": 0.9070638020833334}, {"start": 592.62, "end": 593.24, "word": " بيضل", "probability": 0.685302734375}, {"start": 593.24, "end": 593.52, "word": " هنا", "probability": 0.9775390625}, {"start": 593.52, "end": 593.96, "word": " sign", "probability": 0.67529296875}, {"start": 593.96, "end": 594.3, "word": " pi", "probability": 0.93994140625}, {"start": 594.3, "end": 594.66, "word": " على", "probability": 0.94091796875}, {"start": 594.66, "end": 595.32, "word": " اتنين", "probability": 0.9893798828125}, {"start": 595.32, "end": 596.14, "word": " جه", "probability": 0.6986083984375}, {"start": 596.14, "end": 596.66, "word": " تسعين", "probability": 0.8828125}, {"start": 596.66, "end": 597.4, "word": " بواحد", "probability": 0.9140625}, {"start": 597.4, "end": 598.38, "word": " ناقص", "probability": 0.9808349609375}, {"start": 598.38, "end": 598.98, "word": " zero", "probability": 0.732421875}, {"start": 598.98, "end": 599.9, "word": " يبقى", "probability": 0.986572265625}, {"start": 599.9, "end": 600.62, "word": " الجواب", "probability": 0.9773763020833334}, {"start": 600.62, "end": 601.72, "word": " اتنين", "probability": 0.989501953125}, {"start": 601.72, "end": 602.24, "word": " ا", "probability": 0.93603515625}, {"start": 602.24, "end": 603.1, "word": " تربيع", "probability": 0.9217529296875}], "temperature": 1.0}, {"id": 28, "seek": 63287, "start": 605.73, "end": 632.87, "text": "طيب هذا سؤال مباشر مافيش فيه فكرة إلا تحديد حدود التكامل نتقل الكل شوية يبقى example 2 example 2 بيقول ما ي define the area of the region find the area of the region بدنا مساحة المنطقة نمرى ايه؟", "tokens": [9566, 1829, 3555, 23758, 8608, 33604, 6027, 3714, 3555, 33599, 2288, 19446, 41185, 8592, 8978, 3224, 6156, 4117, 25720, 11933, 15040, 6055, 5016, 16254, 3215, 11331, 3215, 23328, 16712, 4117, 10943, 1211, 8717, 2655, 4587, 1211, 2423, 28820, 13412, 2407, 10632, 7251, 3555, 4587, 7578, 1365, 568, 1365, 568, 4724, 1829, 39648, 19446, 7251, 6964, 264, 1859, 295, 264, 4458, 915, 264, 1859, 295, 264, 4458, 47525, 8315, 47524, 39319, 3660, 9673, 1863, 9566, 28671, 8717, 29973, 7578, 1975, 1829, 3224, 22807], "avg_logprob": -0.18505270366209098, "compression_ratio": 1.5483870967741935, "no_speech_prob": 0.0, "words": [{"start": 605.73, "end": 606.23, "word": "طيب", "probability": 0.766845703125}, {"start": 606.23, "end": 606.75, "word": " هذا", "probability": 0.350830078125}, {"start": 606.75, "end": 607.19, "word": " سؤال", "probability": 0.9278971354166666}, {"start": 607.19, "end": 607.73, "word": " مباشر", "probability": 0.9766845703125}, {"start": 607.73, "end": 608.19, "word": " مافيش", "probability": 0.8385416666666666}, {"start": 608.19, "end": 608.43, "word": " فيه", "probability": 0.865966796875}, {"start": 608.43, "end": 608.83, "word": " فكرة", "probability": 0.9928385416666666}, {"start": 608.83, "end": 609.29, "word": " إلا", "probability": 0.86767578125}, {"start": 609.29, "end": 610.01, "word": " تحديد", "probability": 0.993408203125}, {"start": 610.01, "end": 610.45, "word": " حدود", "probability": 0.8824869791666666}, {"start": 610.45, "end": 611.27, "word": " التكامل", "probability": 0.968505859375}, {"start": 611.27, "end": 612.73, "word": " نتقل", "probability": 0.6636962890625}, {"start": 612.73, "end": 613.11, "word": " الكل", "probability": 0.681884765625}, {"start": 613.11, "end": 613.73, "word": " شوية", "probability": 0.93896484375}, {"start": 613.73, "end": 614.35, "word": " يبقى", "probability": 0.8873291015625}, {"start": 614.35, "end": 614.87, "word": " example", "probability": 0.87939453125}, {"start": 614.87, "end": 615.47, "word": " 2", "probability": 0.49267578125}, {"start": 615.47, "end": 617.61, "word": " example", "probability": 0.7666015625}, {"start": 617.61, "end": 618.17, "word": " 2", "probability": 0.92724609375}, {"start": 618.17, "end": 618.65, "word": " بيقول", "probability": 0.9378255208333334}, {"start": 618.65, "end": 618.87, "word": " ما", "probability": 0.837890625}, {"start": 618.87, "end": 619.05, "word": " ي", "probability": 0.463134765625}, {"start": 619.05, "end": 619.41, "word": " define", "probability": 0.78271484375}, {"start": 619.41, "end": 619.65, "word": " the", "probability": 0.78515625}, {"start": 619.65, "end": 619.91, "word": " area", "probability": 0.85986328125}, {"start": 619.91, "end": 620.15, "word": " of", "probability": 0.9814453125}, {"start": 620.15, "end": 620.31, "word": " the", "probability": 0.81591796875}, {"start": 620.31, "end": 620.75, "word": " region", "probability": 0.94970703125}, {"start": 620.75, "end": 621.73, "word": " find", "probability": 0.67138671875}, {"start": 621.73, "end": 622.97, "word": " the", "probability": 0.8828125}, {"start": 622.97, "end": 624.67, "word": " area", "probability": 0.8662109375}, {"start": 624.67, "end": 626.07, "word": " of", "probability": 0.9814453125}, {"start": 626.07, "end": 627.47, "word": " the", "probability": 0.8779296875}, {"start": 627.47, "end": 628.03, "word": " region", "probability": 0.9560546875}, {"start": 628.03, "end": 629.33, "word": " بدنا", "probability": 0.87646484375}, {"start": 629.33, "end": 629.97, "word": " مساحة", "probability": 0.95703125}, {"start": 629.97, "end": 630.87, "word": " المنطقة", "probability": 0.9871826171875}, {"start": 630.87, "end": 632.13, "word": " نمرى", "probability": 0.7420247395833334}, {"start": 632.13, "end": 632.87, "word": " ايه؟", "probability": 0.79156494140625}], "temperature": 1.0}, {"id": 29, "seek": 66383, "start": 642.87, "end": 663.83, "text": "R يساوي اتنين نقص اتنين في cos زاوية ثتا", "tokens": [49, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8717, 4587, 9381, 1975, 2655, 1863, 9957, 8978, 3792, 30767, 995, 2407, 10632, 38637, 2655, 995], "avg_logprob": -0.4738581868318411, "compression_ratio": 1.096774193548387, "no_speech_prob": 0.0, "words": [{"start": 642.87, "end": 644.27, "word": "R", "probability": 0.0966796875}, {"start": 644.27, "end": 645.15, "word": " يساوي", "probability": 0.75152587890625}, {"start": 645.15, "end": 646.97, "word": " اتنين", "probability": 0.8912353515625}, {"start": 646.97, "end": 660.93, "word": " نقص", "probability": 0.63671875}, {"start": 660.93, "end": 661.59, "word": " اتنين", "probability": 0.96630859375}, {"start": 661.59, "end": 661.89, "word": " في", "probability": 0.701171875}, {"start": 661.89, "end": 662.59, "word": " cos", "probability": 0.1141357421875}, {"start": 662.59, "end": 663.31, "word": " زاوية", "probability": 0.65411376953125}, {"start": 663.31, "end": 663.83, "word": " ثتا", "probability": 0.6075846354166666}], "temperature": 1.0}, {"id": 30, "seek": 68407, "start": 664.91, "end": 684.07, "text": "نمرى بيه inside the circle داخل الدائرة and outside the cardioid", "tokens": [1863, 29973, 7578, 4724, 1829, 3224, 1854, 264, 6329, 11778, 47283, 1211, 32748, 16373, 25720, 293, 2380, 264, 34274, 327], "avg_logprob": -0.36142113662901376, "compression_ratio": 1.0123456790123457, "no_speech_prob": 0.0, "words": [{"start": 664.91, "end": 665.63, "word": "نمرى", "probability": 0.48974609375}, {"start": 665.63, "end": 666.11, "word": " بيه", "probability": 0.742919921875}, {"start": 666.11, "end": 668.67, "word": " inside", "probability": 0.64794921875}, {"start": 668.67, "end": 669.09, "word": " the", "probability": 0.9111328125}, {"start": 669.09, "end": 674.85, "word": " circle", "probability": 0.97265625}, {"start": 674.85, "end": 676.47, "word": " داخل", "probability": 0.7574869791666666}, {"start": 676.47, "end": 677.27, "word": " الدائرة", "probability": 0.9850260416666666}, {"start": 677.27, "end": 678.67, "word": " and", "probability": 0.89697265625}, {"start": 678.67, "end": 681.03, "word": " outside", "probability": 0.81201171875}, {"start": 681.03, "end": 683.27, "word": " the", "probability": 0.89306640625}, {"start": 683.27, "end": 684.07, "word": " cardioid", "probability": 0.60577392578125}], "temperature": 1.0}, {"id": 31, "seek": 74312, "start": 713.42, "end": 743.12, "text": "بنرجع لسؤالنا مرة ثانية بيقول لي هاتلي مساحة المنطقة المرأة أحد المحصورة بين الدائرة R تساوي اتنين والكاردويد R يساوي اتنين نقص اتنين كوساين الزاوية ثتا الأمر الثاني بيبقى المساحة اللي موجودة داخل الدائرة وخارج الكاردويد يبقى هدول سالم والفاصلين عن بعض تماما يبقى أول خطوة بدنا نعملها", "tokens": [3555, 1863, 47341, 3615, 5296, 3794, 33604, 6027, 8315, 3714, 25720, 38637, 7649, 10632, 4724, 1829, 39648, 32239, 8032, 9307, 20292, 47524, 39319, 3660, 9673, 1863, 9566, 28671, 9673, 2288, 10721, 3660, 5551, 24401, 9673, 5016, 9381, 13063, 3660, 49374, 32748, 16373, 25720, 497, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 16070, 4117, 9640, 3215, 2407, 25708, 497, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8717, 4587, 9381, 1975, 2655, 1863, 9957, 9122, 41779, 995, 9957, 6024, 110, 995, 2407, 10632, 38637, 2655, 995, 16247, 29973, 6024, 104, 7649, 1829, 4724, 1829, 3555, 4587, 7578, 9673, 3794, 39319, 3660, 13672, 1829, 3714, 29245, 23328, 3660, 11778, 47283, 1211, 32748, 16373, 25720, 4032, 9778, 9640, 7435, 33251, 9640, 3215, 2407, 25708, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 8608, 45340, 4032, 6027, 5172, 33546, 1211, 9957, 18871, 45030, 11242, 46811, 10943, 995, 7251, 3555, 4587, 7578, 5551, 12610, 16490, 9566, 2407, 3660, 47525, 8315, 8717, 25957, 1211, 11296], "avg_logprob": -0.20781250186264516, "compression_ratio": 2.144628099173554, "no_speech_prob": 0.0, "words": [{"start": 713.42, "end": 713.86, "word": "بنرجع", "probability": 0.6418304443359375}, {"start": 713.86, "end": 714.36, "word": " لسؤالنا", "probability": 0.8828125}, {"start": 714.36, "end": 714.6, "word": " مرة", "probability": 0.983154296875}, {"start": 714.6, "end": 714.96, "word": " ثانية", "probability": 0.8109537760416666}, {"start": 714.96, "end": 716.08, "word": " بيقول", "probability": 0.645751953125}, {"start": 716.08, "end": 716.2, "word": " لي", "probability": 0.213623046875}, {"start": 716.2, "end": 716.46, "word": " هاتلي", "probability": 0.7918294270833334}, {"start": 716.46, "end": 717.12, "word": " مساحة", "probability": 0.9798177083333334}, {"start": 717.12, "end": 718.42, "word": " المنطقة", "probability": 0.9788818359375}, {"start": 718.42, "end": 719.86, "word": " المرأة", "probability": 0.543212890625}, {"start": 719.86, "end": 720.36, "word": " أحد", "probability": 0.6055908203125}, {"start": 720.36, "end": 721.52, "word": " المحصورة", "probability": 0.97041015625}, {"start": 721.52, "end": 721.76, "word": " بين", "probability": 0.96533203125}, {"start": 721.76, "end": 722.22, "word": " الدائرة", "probability": 0.8126627604166666}, {"start": 722.22, "end": 722.48, "word": " R", "probability": 0.464599609375}, {"start": 722.48, "end": 722.98, "word": " تساوي", "probability": 0.6592864990234375}, {"start": 722.98, "end": 723.4, "word": " اتنين", "probability": 0.9169921875}, {"start": 723.4, "end": 724.46, "word": " والكاردويد", "probability": 0.7312418619791666}, {"start": 724.46, "end": 725.1, "word": " R", "probability": 0.69287109375}, {"start": 725.1, "end": 725.64, "word": " يساوي", "probability": 0.9814453125}, {"start": 725.64, "end": 726.1, "word": " اتنين", "probability": 0.986083984375}, {"start": 726.1, "end": 726.68, "word": " نقص", "probability": 0.8603515625}, {"start": 726.68, "end": 727.2, "word": " اتنين", "probability": 0.9840087890625}, {"start": 727.2, "end": 728.08, "word": " كوساين", "probability": 0.62579345703125}, {"start": 728.08, "end": 729.08, "word": " الزاوية", "probability": 0.89951171875}, {"start": 729.08, "end": 729.64, "word": " ثتا", "probability": 0.7067057291666666}, {"start": 729.64, "end": 730.6, "word": " الأمر", "probability": 0.87060546875}, {"start": 730.6, "end": 731.06, "word": " الثاني", "probability": 0.95751953125}, {"start": 731.06, "end": 731.24, "word": " بيبقى", "probability": 0.705859375}, {"start": 731.24, "end": 731.92, "word": " المساحة", "probability": 0.98046875}, {"start": 731.92, "end": 732.08, "word": " اللي", "probability": 0.626708984375}, {"start": 732.08, "end": 732.88, "word": " موجودة", "probability": 0.9892578125}, {"start": 732.88, "end": 733.9, "word": " داخل", "probability": 0.98046875}, {"start": 733.9, "end": 734.48, "word": " الدائرة", "probability": 0.990234375}, {"start": 734.48, "end": 735.44, "word": " وخارج", "probability": 0.880615234375}, {"start": 735.44, "end": 736.62, "word": " الكاردويد", "probability": 0.977734375}, {"start": 736.62, "end": 737.26, "word": " يبقى", "probability": 0.9647216796875}, {"start": 737.26, "end": 737.54, "word": " هدول", "probability": 0.8971354166666666}, {"start": 737.54, "end": 738.02, "word": " سالم", "probability": 0.60546875}, {"start": 738.02, "end": 738.8, "word": " والفاصلين", "probability": 0.7493489583333334}, {"start": 738.8, "end": 739.04, "word": " عن", "probability": 0.96826171875}, {"start": 739.04, "end": 739.48, "word": " بعض", "probability": 0.99560546875}, {"start": 739.48, "end": 740.34, "word": " تماما", "probability": 0.9923502604166666}, {"start": 740.34, "end": 741.22, "word": " يبقى", "probability": 0.9716796875}, {"start": 741.22, "end": 741.64, "word": " أول", "probability": 0.85009765625}, {"start": 741.64, "end": 742.12, "word": " خطوة", "probability": 0.9920654296875}, {"start": 742.12, "end": 742.46, "word": " بدنا", "probability": 0.809326171875}, {"start": 742.46, "end": 743.12, "word": " نعملها", "probability": 0.994140625}], "temperature": 1.0}, {"id": 32, "seek": 77257, "start": 743.53, "end": 772.57, "text": "بدنا نروح نجيب نقاط التقاطة مدن فين حصار ما بين الاتنين، معناته بدنا نجيب نقاط التقاطة كيف بقين نجيب نقاط التقاطة بين منحنيين في الأحداثيات الكارتيزية؟ بسويهم بعض، و هنا نفس القصة، بروح بنسوي المنحنيين ببعض، إذا لو سويتهم ببعض، بصير عند مين هنا؟ اتنين ناقص اتنين كوسين اتنين ثيتا، بده يساوي اتنين", "tokens": [3555, 3215, 8315, 8717, 32887, 5016, 8717, 7435, 1829, 3555, 8717, 4587, 41193, 16712, 4587, 41193, 3660, 3714, 3215, 1863, 8978, 1863, 11331, 9381, 9640, 19446, 49374, 2423, 9307, 1863, 9957, 12399, 20449, 8315, 47395, 47525, 8315, 8717, 7435, 1829, 3555, 8717, 4587, 41193, 16712, 4587, 41193, 3660, 9122, 33911, 4724, 4587, 9957, 8717, 7435, 1829, 3555, 8717, 4587, 41193, 16712, 4587, 41193, 3660, 49374, 9154, 5016, 22653, 9957, 8978, 16247, 24401, 5718, 104, 1829, 9307, 33251, 9640, 31371, 11622, 10632, 22807, 4724, 3794, 45865, 16095, 45030, 11242, 12399, 4032, 34105, 8717, 36178, 25062, 9381, 3660, 12399, 4724, 32887, 5016, 44945, 3794, 45865, 9673, 1863, 5016, 22653, 9957, 4724, 3555, 3615, 11242, 12399, 11933, 15730, 45164, 8608, 2407, 36081, 16095, 4724, 3555, 3615, 11242, 12399, 4724, 9381, 13546, 43242, 3714, 9957, 34105, 22807, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 9122, 41779, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 12399, 47525, 3224, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957], "avg_logprob": -0.22623503065394784, "compression_ratio": 2.278481012658228, "no_speech_prob": 0.0, "words": [{"start": 743.53, "end": 744.01, "word": "بدنا", "probability": 0.4137166341145833}, {"start": 744.01, "end": 744.49, "word": " نروح", "probability": 0.8211263020833334}, {"start": 744.49, "end": 745.15, "word": " نجيب", "probability": 0.84832763671875}, {"start": 745.15, "end": 745.81, "word": " نقاط", "probability": 0.9576822916666666}, {"start": 745.81, "end": 746.57, "word": " التقاطة", "probability": 0.828369140625}, {"start": 746.57, "end": 746.85, "word": " مدن", "probability": 0.388427734375}, {"start": 746.85, "end": 747.29, "word": " فين", "probability": 0.53515625}, {"start": 747.29, "end": 747.81, "word": " حصار", "probability": 0.98583984375}, {"start": 747.81, "end": 747.97, "word": " ما", "probability": 0.80224609375}, {"start": 747.97, "end": 748.15, "word": " بين", "probability": 0.986328125}, {"start": 748.15, "end": 748.61, "word": " الاتنين،", "probability": 0.6888671875}, {"start": 748.61, "end": 748.99, "word": " معناته", "probability": 0.7528483072916666}, {"start": 748.99, "end": 749.29, "word": " بدنا", "probability": 0.6834716796875}, {"start": 749.29, "end": 749.77, "word": " نجيب", "probability": 0.9967041015625}, {"start": 749.77, "end": 750.61, "word": " نقاط", "probability": 0.98974609375}, {"start": 750.61, "end": 751.31, "word": " التقاطة", "probability": 0.9661865234375}, {"start": 751.31, "end": 751.93, "word": " كيف", "probability": 0.903564453125}, {"start": 751.93, "end": 752.23, "word": " بقين", "probability": 0.593017578125}, {"start": 752.23, "end": 752.57, "word": " نجيب", "probability": 0.975830078125}, {"start": 752.57, "end": 752.97, "word": " نقاط", "probability": 0.98583984375}, {"start": 752.97, "end": 753.63, "word": " التقاطة", "probability": 0.9759521484375}, {"start": 753.63, "end": 754.53, "word": " بين", "probability": 0.970703125}, {"start": 754.53, "end": 755.43, "word": " منحنيين", "probability": 0.7608642578125}, {"start": 755.43, "end": 755.63, "word": " في", "probability": 0.921875}, {"start": 755.63, "end": 756.51, "word": " الأحداثيات", "probability": 0.8717854817708334}, {"start": 756.51, "end": 757.71, "word": " الكارتيزية؟", "probability": 0.8538411458333334}, {"start": 757.71, "end": 758.13, "word": " بسويهم", "probability": 0.58306884765625}, {"start": 758.13, "end": 759.05, "word": " بعض،", "probability": 0.7418619791666666}, {"start": 759.05, "end": 759.11, "word": " و", "probability": 0.406982421875}, {"start": 759.11, "end": 759.25, "word": " هنا", "probability": 0.51904296875}, {"start": 759.25, "end": 759.53, "word": " نفس", "probability": 0.988037109375}, {"start": 759.53, "end": 760.55, "word": " القصة،", "probability": 0.908935546875}, {"start": 760.55, "end": 761.05, "word": " بروح", "probability": 0.8317057291666666}, {"start": 761.05, "end": 761.69, "word": " بنسوي", "probability": 0.77490234375}, {"start": 761.69, "end": 762.53, "word": " المنحنيين", "probability": 0.97255859375}, {"start": 762.53, "end": 763.41, "word": " ببعض،", "probability": 0.8908203125}, {"start": 763.41, "end": 763.57, "word": " إذا", "probability": 0.7998046875}, {"start": 763.57, "end": 763.79, "word": " لو", "probability": 0.98828125}, {"start": 763.79, "end": 764.43, "word": " سويتهم", "probability": 0.8714599609375}, {"start": 764.43, "end": 764.95, "word": " ببعض،", "probability": 0.92841796875}, {"start": 764.95, "end": 765.33, "word": " بصير", "probability": 0.9265950520833334}, {"start": 765.33, "end": 765.59, "word": " عند", "probability": 0.98486328125}, {"start": 765.59, "end": 765.91, "word": " مين", "probability": 0.931640625}, {"start": 765.91, "end": 766.45, "word": " هنا؟", "probability": 0.953369140625}, {"start": 766.45, "end": 767.29, "word": " اتنين", "probability": 0.95458984375}, {"start": 767.29, "end": 768.65, "word": " ناقص", "probability": 0.8597412109375}, {"start": 768.65, "end": 769.31, "word": " اتنين", "probability": 0.978515625}, {"start": 769.31, "end": 770.13, "word": " كوسين", "probability": 0.5875651041666666}, {"start": 770.13, "end": 770.67, "word": " اتنين", "probability": 0.981201171875}, {"start": 770.67, "end": 771.17, "word": " ثيتا،", "probability": 0.7020263671875}, {"start": 771.17, "end": 771.51, "word": " بده", "probability": 0.5718994140625}, {"start": 771.51, "end": 772.07, "word": " يساوي", "probability": 0.8780517578125}, {"start": 772.07, "end": 772.57, "word": " اتنين", "probability": 0.982421875}], "temperature": 1.0}, {"id": 33, "seek": 79308, "start": 772.8, "end": 793.08, "text": "أو ان شيرتم فاقولوا اتنين كوصاين ثيتا بده يساوي قداش؟ Zero بده اجيب هذا هنا وهذا على الناحية التانية ومنها كوصاين ثيتا بده يساوي Zero يبقى هذا معناته ان ثيتا تساوي من الزرع اللي جيب تماما يساوي صفر", "tokens": [10721, 2407, 16472, 13412, 13546, 39237, 6156, 995, 39648, 14407, 1975, 2655, 1863, 9957, 9122, 2407, 9381, 995, 9957, 38637, 36081, 995, 47525, 3224, 7251, 3794, 995, 45865, 12174, 3215, 33599, 22807, 17182, 47525, 3224, 1975, 7435, 1829, 3555, 23758, 34105, 37037, 15730, 15844, 2423, 8315, 5016, 10632, 16712, 7649, 10632, 4032, 27842, 11296, 9122, 2407, 9381, 995, 9957, 38637, 36081, 995, 47525, 3224, 7251, 3794, 995, 45865, 17182, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 47395, 16472, 38637, 36081, 995, 6055, 3794, 995, 45865, 9154, 6024, 110, 2288, 3615, 13672, 1829, 10874, 1829, 3555, 46811, 10943, 995, 7251, 3794, 995, 45865, 20328, 5172, 2288], "avg_logprob": -0.24041863896374432, "compression_ratio": 1.9175824175824177, "no_speech_prob": 0.0, "words": [{"start": 772.8, "end": 773.28, "word": "أو", "probability": 0.669189453125}, {"start": 773.28, "end": 773.4, "word": " ان", "probability": 0.64501953125}, {"start": 773.4, "end": 773.94, "word": " شيرتم", "probability": 0.7180989583333334}, {"start": 773.94, "end": 774.88, "word": " فاقولوا", "probability": 0.79449462890625}, {"start": 774.88, "end": 775.82, "word": " اتنين", "probability": 0.9185791015625}, {"start": 775.82, "end": 776.58, "word": " كوصاين", "probability": 0.5631103515625}, {"start": 776.58, "end": 777.02, "word": " ثيتا", "probability": 0.7835286458333334}, {"start": 777.02, "end": 777.28, "word": " بده", "probability": 0.4251708984375}, {"start": 777.28, "end": 777.56, "word": " يساوي", "probability": 0.95654296875}, {"start": 777.56, "end": 778.32, "word": " قداش؟", "probability": 0.7738037109375}, {"start": 778.32, "end": 779.08, "word": " Zero", "probability": 0.5087890625}, {"start": 779.08, "end": 779.44, "word": " بده", "probability": 0.55963134765625}, {"start": 779.44, "end": 779.66, "word": " اجيب", "probability": 0.8709716796875}, {"start": 779.66, "end": 779.94, "word": " هذا", "probability": 0.6591796875}, {"start": 779.94, "end": 780.28, "word": " هنا", "probability": 0.962890625}, {"start": 780.28, "end": 780.66, "word": " وهذا", "probability": 0.4896240234375}, {"start": 780.66, "end": 780.84, "word": " على", "probability": 0.892578125}, {"start": 780.84, "end": 781.36, "word": " الناحية", "probability": 0.8861083984375}, {"start": 781.36, "end": 782.1, "word": " التانية", "probability": 0.9783528645833334}, {"start": 782.1, "end": 783.58, "word": " ومنها", "probability": 0.8982747395833334}, {"start": 783.58, "end": 785.2, "word": " كوصاين", "probability": 0.965234375}, {"start": 785.2, "end": 786.0, "word": " ثيتا", "probability": 0.9246419270833334}, {"start": 786.0, "end": 786.42, "word": " بده", "probability": 0.9697265625}, {"start": 786.42, "end": 786.92, "word": " يساوي", "probability": 0.989990234375}, {"start": 786.92, "end": 787.38, "word": " Zero", "probability": 0.8515625}, {"start": 787.38, "end": 788.18, "word": " يبقى", "probability": 0.9376220703125}, {"start": 788.18, "end": 788.5, "word": " هذا", "probability": 0.94384765625}, {"start": 788.5, "end": 789.08, "word": " معناته", "probability": 0.97265625}, {"start": 789.08, "end": 789.26, "word": " ان", "probability": 0.79248046875}, {"start": 789.26, "end": 789.86, "word": " ثيتا", "probability": 0.7356770833333334}, {"start": 789.86, "end": 790.42, "word": " تساوي", "probability": 0.9560546875}, {"start": 790.42, "end": 790.64, "word": " من", "probability": 0.330810546875}, {"start": 790.64, "end": 791.14, "word": " الزرع", "probability": 0.62591552734375}, {"start": 791.14, "end": 791.32, "word": " اللي", "probability": 0.903564453125}, {"start": 791.32, "end": 791.58, "word": " جيب", "probability": 0.8727213541666666}, {"start": 791.58, "end": 792.02, "word": " تماما", "probability": 0.791015625}, {"start": 792.02, "end": 792.54, "word": " يساوي", "probability": 0.9620361328125}, {"start": 792.54, "end": 793.08, "word": " صفر", "probability": 0.927734375}], "temperature": 1.0}, {"id": 34, "seek": 81391, "start": 793.93, "end": 813.91, "text": "زائد او ناقص باى على اتنين يبقى زائد او ناقص باى على اتنين تمام اذا عند الرسم بدي الاحظ هذا الكلام بدي تقطع عند الزاوية اللى بتبقى باى على اتنين طيب سؤال قداش بتكون R؟", "tokens": [11622, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 4724, 995, 7578, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 4724, 995, 7578, 15844, 1975, 2655, 1863, 9957, 46811, 10943, 1975, 15730, 43242, 34892, 38251, 4724, 16254, 1975, 15040, 5016, 19913, 23758, 2423, 28820, 10943, 4724, 16254, 6055, 47432, 3615, 43242, 6024, 110, 995, 2407, 10632, 13672, 7578, 39894, 3555, 4587, 7578, 4724, 995, 7578, 15844, 1975, 2655, 1863, 9957, 23032, 1829, 3555, 8608, 33604, 6027, 12174, 3215, 33599, 39894, 30544, 497, 22807], "avg_logprob": -0.2086103650483679, "compression_ratio": 2.0340136054421767, "no_speech_prob": 0.0, "words": [{"start": 793.93, "end": 794.51, "word": "زائد", "probability": 0.5849609375}, {"start": 794.51, "end": 794.71, "word": " او", "probability": 0.848388671875}, {"start": 794.71, "end": 795.39, "word": " ناقص", "probability": 0.9835205078125}, {"start": 795.39, "end": 795.87, "word": " باى", "probability": 0.4249674479166667}, {"start": 795.87, "end": 796.13, "word": " على", "probability": 0.736328125}, {"start": 796.13, "end": 796.67, "word": " اتنين", "probability": 0.914306640625}, {"start": 796.67, "end": 797.63, "word": " يبقى", "probability": 0.8863525390625}, {"start": 797.63, "end": 798.35, "word": " زائد", "probability": 0.8600260416666666}, {"start": 798.35, "end": 798.71, "word": " او", "probability": 0.96240234375}, {"start": 798.71, "end": 799.53, "word": " ناقص", "probability": 0.994384765625}, {"start": 799.53, "end": 800.35, "word": " باى", "probability": 0.90283203125}, {"start": 800.35, "end": 801.01, "word": " على", "probability": 0.91650390625}, {"start": 801.01, "end": 802.13, "word": " اتنين", "probability": 0.9837646484375}, {"start": 802.13, "end": 802.81, "word": " تمام", "probability": 0.780517578125}, {"start": 802.81, "end": 803.11, "word": " اذا", "probability": 0.682373046875}, {"start": 803.11, "end": 803.53, "word": " عند", "probability": 0.98046875}, {"start": 803.53, "end": 804.31, "word": " الرسم", "probability": 0.94287109375}, {"start": 804.31, "end": 804.95, "word": " بدي", "probability": 0.71923828125}, {"start": 804.95, "end": 805.63, "word": " الاحظ", "probability": 0.8260498046875}, {"start": 805.63, "end": 806.05, "word": " هذا", "probability": 0.9423828125}, {"start": 806.05, "end": 806.43, "word": " الكلام", "probability": 0.91748046875}, {"start": 806.43, "end": 806.67, "word": " بدي", "probability": 0.83740234375}, {"start": 806.67, "end": 807.69, "word": " تقطع", "probability": 0.7989908854166666}, {"start": 807.69, "end": 808.39, "word": " عند", "probability": 0.97998046875}, {"start": 808.39, "end": 808.95, "word": " الزاوية", "probability": 0.78330078125}, {"start": 808.95, "end": 809.07, "word": " اللى", "probability": 0.860107421875}, {"start": 809.07, "end": 809.49, "word": " بتبقى", "probability": 0.909423828125}, {"start": 809.49, "end": 809.77, "word": " باى", "probability": 0.8974609375}, {"start": 809.77, "end": 809.97, "word": " على", "probability": 0.88427734375}, {"start": 809.97, "end": 810.27, "word": " اتنين", "probability": 0.9874267578125}, {"start": 810.27, "end": 810.67, "word": " طيب", "probability": 0.9806315104166666}, {"start": 810.67, "end": 811.01, "word": " سؤال", "probability": 0.8328450520833334}, {"start": 811.01, "end": 811.45, "word": " قداش", "probability": 0.667724609375}, {"start": 811.45, "end": 812.07, "word": " بتكون", "probability": 0.902099609375}, {"start": 812.07, "end": 813.91, "word": " R؟", "probability": 0.59814453125}], "temperature": 1.0}, {"id": 35, "seek": 84101, "start": 816.53, "end": 841.01, "text": "النقطة الاساسية للدائرة R هي R المعين للكاردويد مظبوط نفس الطول فبقى R عندي يساوي اتنين ففعلا R تساوي اتنين ففعلا لو جاء الكاردويد و حطنا بايع اتنين او سالب بايع اتنين بيضل طول كده اتنين لان كوسين صفر كوسين بايع على اتنين او سالب بايع اتنين بصفر بيضلش الا اتنين", "tokens": [6027, 1863, 47432, 3660, 2423, 32277, 32277, 10632, 24976, 3215, 16373, 25720, 497, 39896, 497, 9673, 3615, 9957, 24976, 4117, 9640, 3215, 2407, 25708, 3714, 19913, 3555, 2407, 9566, 8717, 36178, 41950, 12610, 6156, 3555, 4587, 7578, 497, 18871, 16254, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 6156, 5172, 3615, 15040, 497, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 6156, 5172, 3615, 15040, 45164, 10874, 16606, 33251, 9640, 3215, 2407, 25708, 4032, 11331, 9566, 8315, 4724, 995, 40228, 1975, 2655, 1863, 9957, 1975, 2407, 8608, 6027, 3555, 4724, 995, 40228, 1975, 2655, 1863, 9957, 4724, 1829, 11242, 1211, 23032, 12610, 9122, 3215, 3224, 1975, 2655, 1863, 9957, 5296, 7649, 9122, 41779, 9957, 20328, 5172, 2288, 9122, 41779, 9957, 4724, 995, 40228, 15844, 1975, 2655, 1863, 9957, 1975, 2407, 8608, 6027, 3555, 4724, 995, 40228, 1975, 2655, 1863, 9957, 4724, 9381, 5172, 2288, 4724, 1829, 11242, 1211, 8592, 42963, 1975, 2655, 1863, 9957], "avg_logprob": -0.38447580145251364, "compression_ratio": 2.3168316831683167, "no_speech_prob": 0.0, "words": [{"start": 816.53, "end": 817.29, "word": "النقطة", "probability": 0.5702972412109375}, {"start": 817.29, "end": 817.51, "word": " الاساسية", "probability": 0.2847900390625}, {"start": 817.51, "end": 819.85, "word": " للدائرة", "probability": 0.591827392578125}, {"start": 819.85, "end": 820.43, "word": " R", "probability": 0.389404296875}, {"start": 820.43, "end": 820.43, "word": " هي", "probability": 0.186279296875}, {"start": 820.43, "end": 820.83, "word": " R", "probability": 0.6982421875}, {"start": 820.83, "end": 821.31, "word": " المعين", "probability": 0.3573201497395833}, {"start": 821.31, "end": 822.73, "word": " للكاردويد", "probability": 0.7530924479166666}, {"start": 822.73, "end": 823.59, "word": " مظبوط", "probability": 0.63641357421875}, {"start": 823.59, "end": 824.11, "word": " نفس", "probability": 0.85986328125}, {"start": 824.11, "end": 824.85, "word": " الطول", "probability": 0.96337890625}, {"start": 824.85, "end": 825.23, "word": " فبقى", "probability": 0.536895751953125}, {"start": 825.23, "end": 825.39, "word": " R", "probability": 0.64208984375}, {"start": 825.39, "end": 825.65, "word": " عندي", "probability": 0.54132080078125}, {"start": 825.65, "end": 826.09, "word": " يساوي", "probability": 0.7186279296875}, {"start": 826.09, "end": 826.49, "word": " اتنين", "probability": 0.83392333984375}, {"start": 826.49, "end": 827.41, "word": " ففعلا", "probability": 0.67236328125}, {"start": 827.41, "end": 827.73, "word": " R", "probability": 0.52392578125}, {"start": 827.73, "end": 828.19, "word": " تساوي", "probability": 0.9129638671875}, {"start": 828.19, "end": 828.37, "word": " اتنين", "probability": 0.9794921875}, {"start": 828.37, "end": 828.83, "word": " ففعلا", "probability": 0.7091064453125}, {"start": 828.83, "end": 828.99, "word": " لو", "probability": 0.8603515625}, {"start": 828.99, "end": 829.19, "word": " جاء", "probability": 0.6622314453125}, {"start": 829.19, "end": 829.73, "word": " الكاردويد", "probability": 0.96767578125}, {"start": 829.73, "end": 829.85, "word": " و", "probability": 0.95263671875}, {"start": 829.85, "end": 830.29, "word": " حطنا", "probability": 0.5550130208333334}, {"start": 830.29, "end": 830.59, "word": " بايع", "probability": 0.5271809895833334}, {"start": 830.59, "end": 830.93, "word": " اتنين", "probability": 0.9820556640625}, {"start": 830.93, "end": 831.15, "word": " او", "probability": 0.886962890625}, {"start": 831.15, "end": 831.45, "word": " سالب", "probability": 0.6007486979166666}, {"start": 831.45, "end": 831.63, "word": " بايع", "probability": 0.8987630208333334}, {"start": 831.63, "end": 831.95, "word": " اتنين", "probability": 0.9930419921875}, {"start": 831.95, "end": 832.29, "word": " بيضل", "probability": 0.60638427734375}, {"start": 832.29, "end": 832.55, "word": " طول", "probability": 0.905517578125}, {"start": 832.55, "end": 833.01, "word": " كده", "probability": 0.794921875}, {"start": 833.01, "end": 834.31, "word": " اتنين", "probability": 0.9058837890625}, {"start": 834.31, "end": 834.61, "word": " لان", "probability": 0.674072265625}, {"start": 834.61, "end": 835.43, "word": " كوسين", "probability": 0.49462890625}, {"start": 835.43, "end": 836.07, "word": " صفر", "probability": 0.8020833333333334}, {"start": 836.07, "end": 836.55, "word": " كوسين", "probability": 0.6753743489583334}, {"start": 836.55, "end": 836.87, "word": " بايع", "probability": 0.9261067708333334}, {"start": 836.87, "end": 837.09, "word": " على", "probability": 0.802734375}, {"start": 837.09, "end": 837.47, "word": " اتنين", "probability": 0.9857177734375}, {"start": 837.47, "end": 837.65, "word": " او", "probability": 0.935302734375}, {"start": 837.65, "end": 837.93, "word": " سالب", "probability": 0.9630533854166666}, {"start": 837.93, "end": 838.11, "word": " بايع", "probability": 0.9405924479166666}, {"start": 838.11, "end": 838.45, "word": " اتنين", "probability": 0.9290771484375}, {"start": 838.45, "end": 839.13, "word": " بصفر", "probability": 0.93115234375}, {"start": 839.13, "end": 840.05, "word": " بيضلش", "probability": 0.75791015625}, {"start": 840.05, "end": 840.43, "word": " الا", "probability": 0.68896484375}, {"start": 840.43, "end": 841.01, "word": " اتنين", "probability": 0.972412109375}], "temperature": 1.0}, {"id": 36, "seek": 86879, "start": 841.35, "end": 868.79, "text": "يبقى التقطة هيكون عند النقطتين يبقى هنا بروح بقول له that intersections تقطت at the points عند النقطتين اتنين و by على اتنين and اتنين و سالب by على اتنين", "tokens": [1829, 3555, 4587, 7578, 16712, 47432, 3660, 39896, 30544, 43242, 28239, 47432, 2655, 9957, 7251, 3555, 4587, 7578, 34105, 4724, 32887, 5016, 4724, 39648, 46740, 300, 47664, 6055, 47432, 2655, 412, 264, 2793, 43242, 28239, 47432, 2655, 9957, 1975, 2655, 1863, 9957, 4032, 538, 15844, 1975, 2655, 1863, 9957, 293, 1975, 2655, 1863, 9957, 4032, 8608, 6027, 3555, 538, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.1920673076923077, "compression_ratio": 1.6944444444444444, "no_speech_prob": 0.0, "words": [{"start": 841.35, "end": 841.81, "word": "يبقى", "probability": 0.81036376953125}, {"start": 841.81, "end": 842.67, "word": " التقطة", "probability": 0.7605794270833334}, {"start": 842.67, "end": 843.17, "word": " هيكون", "probability": 0.6832275390625}, {"start": 843.17, "end": 843.53, "word": " عند", "probability": 0.99169921875}, {"start": 843.53, "end": 845.09, "word": " النقطتين", "probability": 0.84637451171875}, {"start": 845.09, "end": 846.21, "word": " يبقى", "probability": 0.8973388671875}, {"start": 846.21, "end": 846.45, "word": " هنا", "probability": 0.931640625}, {"start": 846.45, "end": 846.89, "word": " بروح", "probability": 0.9620768229166666}, {"start": 846.89, "end": 847.43, "word": " بقول", "probability": 0.92919921875}, {"start": 847.43, "end": 847.67, "word": " له", "probability": 0.2841796875}, {"start": 847.67, "end": 848.07, "word": " that", "probability": 0.408203125}, {"start": 848.07, "end": 850.95, "word": " intersections", "probability": 0.86083984375}, {"start": 850.95, "end": 853.85, "word": " تقطت", "probability": 0.6533203125}, {"start": 853.85, "end": 854.81, "word": " at", "probability": 0.9638671875}, {"start": 854.81, "end": 855.89, "word": " the", "probability": 0.84912109375}, {"start": 855.89, "end": 857.51, "word": " points", "probability": 0.87939453125}, {"start": 857.51, "end": 858.53, "word": " عند", "probability": 0.978515625}, {"start": 858.53, "end": 859.89, "word": " النقطتين", "probability": 0.9783935546875}, {"start": 859.89, "end": 861.19, "word": " اتنين", "probability": 0.927978515625}, {"start": 861.19, "end": 861.75, "word": " و", "probability": 0.89306640625}, {"start": 861.75, "end": 862.07, "word": " by", "probability": 0.2724609375}, {"start": 862.07, "end": 862.43, "word": " على", "probability": 0.505859375}, {"start": 862.43, "end": 863.23, "word": " اتنين", "probability": 0.9720458984375}, {"start": 863.23, "end": 864.57, "word": " and", "probability": 0.89990234375}, {"start": 864.57, "end": 866.11, "word": " اتنين", "probability": 0.986328125}, {"start": 866.11, "end": 866.87, "word": " و", "probability": 0.65966796875}, {"start": 866.87, "end": 867.49, "word": " سالب", "probability": 0.8938802083333334}, {"start": 867.49, "end": 867.95, "word": " by", "probability": 0.95849609375}, {"start": 867.95, "end": 868.29, "word": " على", "probability": 0.8896484375}, {"start": 868.29, "end": 868.79, "word": " اتنين", "probability": 0.987548828125}], "temperature": 1.0}, {"id": 37, "seek": 88238, "start": 870.58, "end": 882.38, "text": "هيبقى اتنين سالب باية على اتنين لو حبينا نرسم الرسمتنا دول مشان نحدد شغلنا بدقة فبجي بقول هاي المحاور", "tokens": [3224, 1829, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 4724, 995, 10632, 15844, 1975, 2655, 1863, 9957, 45164, 11331, 21292, 8315, 8717, 2288, 38251, 34892, 38251, 2655, 8315, 11778, 12610, 37893, 7649, 8717, 24401, 3215, 13412, 17082, 1211, 8315, 47525, 28671, 6156, 3555, 7435, 1829, 4724, 39648, 8032, 47302, 9673, 5016, 995, 13063], "avg_logprob": -0.259731368014687, "compression_ratio": 1.5593220338983051, "no_speech_prob": 0.0, "words": [{"start": 870.58, "end": 871.08, "word": "هيبقى", "probability": 0.58564453125}, {"start": 871.08, "end": 871.64, "word": " اتنين", "probability": 0.892822265625}, {"start": 871.64, "end": 872.7, "word": " سالب", "probability": 0.7200520833333334}, {"start": 872.7, "end": 872.96, "word": " باية", "probability": 0.6432291666666666}, {"start": 872.96, "end": 873.12, "word": " على", "probability": 0.77880859375}, {"start": 873.12, "end": 873.6, "word": " اتنين", "probability": 0.975341796875}, {"start": 873.6, "end": 874.64, "word": " لو", "probability": 0.74755859375}, {"start": 874.64, "end": 875.18, "word": " حبينا", "probability": 0.841796875}, {"start": 875.18, "end": 875.68, "word": " نرسم", "probability": 0.9884440104166666}, {"start": 875.68, "end": 876.98, "word": " الرسمتنا", "probability": 0.64434814453125}, {"start": 876.98, "end": 877.36, "word": " دول", "probability": 0.964599609375}, {"start": 877.36, "end": 878.1, "word": " مشان", "probability": 0.6907958984375}, {"start": 878.1, "end": 878.74, "word": " نحدد", "probability": 0.9225260416666666}, {"start": 878.74, "end": 879.38, "word": " شغلنا", "probability": 0.99072265625}, {"start": 879.38, "end": 879.98, "word": " بدقة", "probability": 0.88037109375}, {"start": 879.98, "end": 881.0, "word": " فبجي", "probability": 0.676971435546875}, {"start": 881.0, "end": 881.36, "word": " بقول", "probability": 0.98095703125}, {"start": 881.36, "end": 881.64, "word": " هاي", "probability": 0.662841796875}, {"start": 881.64, "end": 882.38, "word": " المحاور", "probability": 0.9901123046875}], "temperature": 1.0}, {"id": 38, "seek": 90220, "start": 883.08, "end": 902.2, "text": "الشكل اللي عندنا هذا هيك وهذا θ تساوي zero وهذا θ تساوي باي على اتنين لو روحنا رسمنا الكاردويد باجي بطلع مكتوب بدلالة ال cosine والإشارة السلبة لمين", "tokens": [6027, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 39896, 4117, 37037, 15730, 12622, 6055, 3794, 995, 45865, 4018, 37037, 15730, 12622, 6055, 3794, 995, 45865, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 45164, 12602, 2407, 5016, 8315, 12602, 38251, 8315, 33251, 9640, 3215, 2407, 25708, 4724, 26108, 1829, 4724, 9566, 1211, 3615, 3714, 4117, 2655, 37746, 4724, 3215, 1211, 6027, 3660, 2423, 23565, 16070, 28814, 8592, 9640, 3660, 21136, 46152, 3660, 32767, 9957], "avg_logprob": -0.2183277077368788, "compression_ratio": 1.5987654320987654, "no_speech_prob": 0.0, "words": [{"start": 883.08, "end": 883.64, "word": "الشكل", "probability": 0.7345377604166666}, {"start": 883.64, "end": 883.82, "word": " اللي", "probability": 0.826904296875}, {"start": 883.82, "end": 884.2, "word": " عندنا", "probability": 0.868896484375}, {"start": 884.2, "end": 884.5, "word": " هذا", "probability": 0.77099609375}, {"start": 884.5, "end": 885.38, "word": " هيك", "probability": 0.890380859375}, {"start": 885.38, "end": 886.24, "word": " وهذا", "probability": 0.868408203125}, {"start": 886.24, "end": 886.68, "word": " θ", "probability": 0.5146484375}, {"start": 886.68, "end": 887.5, "word": " تساوي", "probability": 0.9364013671875}, {"start": 887.5, "end": 887.98, "word": " zero", "probability": 0.39794921875}, {"start": 887.98, "end": 889.06, "word": " وهذا", "probability": 0.89990234375}, {"start": 889.06, "end": 889.48, "word": " θ", "probability": 0.66796875}, {"start": 889.48, "end": 890.3, "word": " تساوي", "probability": 0.9835205078125}, {"start": 890.3, "end": 890.94, "word": " باي", "probability": 0.458740234375}, {"start": 890.94, "end": 891.84, "word": " على", "probability": 0.71826171875}, {"start": 891.84, "end": 892.84, "word": " اتنين", "probability": 0.9423828125}, {"start": 892.84, "end": 894.9, "word": " لو", "probability": 0.88623046875}, {"start": 894.9, "end": 895.3, "word": " روحنا", "probability": 0.938720703125}, {"start": 895.3, "end": 896.02, "word": " رسمنا", "probability": 0.8299153645833334}, {"start": 896.02, "end": 896.9, "word": " الكاردويد", "probability": 0.768994140625}, {"start": 896.9, "end": 897.32, "word": " باجي", "probability": 0.8707682291666666}, {"start": 897.32, "end": 898.04, "word": " بطلع", "probability": 0.8153076171875}, {"start": 898.04, "end": 899.18, "word": " مكتوب", "probability": 0.966552734375}, {"start": 899.18, "end": 899.76, "word": " بدلالة", "probability": 0.835009765625}, {"start": 899.76, "end": 899.98, "word": " ال", "probability": 0.66455078125}, {"start": 899.98, "end": 900.44, "word": " cosine", "probability": 0.6640625}, {"start": 900.44, "end": 901.22, "word": " والإشارة", "probability": 0.870703125}, {"start": 901.22, "end": 901.7, "word": " السلبة", "probability": 0.6944986979166666}, {"start": 901.7, "end": 902.2, "word": " لمين", "probability": 0.865478515625}], "temperature": 1.0}, {"id": 39, "seek": 92327, "start": 903.01, "end": 923.27, "text": "للـ cosine إذا الرسم كله جهة مين؟ جهة محور X السالم زي ما رسمنا بارح بالضبط تماما يبقى الكاردويد هيأخذ الشكل التالي بهذا الشكل ابتدينا مين؟", "tokens": [1211, 1211, 39184, 23565, 11933, 15730, 34892, 38251, 28242, 3224, 10874, 3224, 3660, 3714, 9957, 22807, 10874, 3224, 3660, 3714, 5016, 13063, 1783, 21136, 45340, 30767, 1829, 19446, 12602, 38251, 8315, 4724, 9640, 5016, 20666, 11242, 3555, 9566, 46811, 10943, 995, 7251, 3555, 4587, 7578, 33251, 9640, 3215, 2407, 25708, 39896, 10721, 9778, 8848, 25124, 28820, 16712, 6027, 1829, 39627, 15730, 25124, 28820, 48127, 2655, 16254, 8315, 3714, 9957, 22807], "avg_logprob": -0.25242076373436084, "compression_ratio": 1.5668789808917198, "no_speech_prob": 0.0, "words": [{"start": 903.01, "end": 903.57, "word": "للـ", "probability": 0.378173828125}, {"start": 903.57, "end": 904.05, "word": " cosine", "probability": 0.450439453125}, {"start": 904.05, "end": 904.45, "word": " إذا", "probability": 0.703857421875}, {"start": 904.45, "end": 905.05, "word": " الرسم", "probability": 0.935791015625}, {"start": 905.05, "end": 905.65, "word": " كله", "probability": 0.5877685546875}, {"start": 905.65, "end": 906.03, "word": " جهة", "probability": 0.9495442708333334}, {"start": 906.03, "end": 906.77, "word": " مين؟", "probability": 0.6471354166666666}, {"start": 906.77, "end": 907.47, "word": " جهة", "probability": 0.97265625}, {"start": 907.47, "end": 907.97, "word": " محور", "probability": 0.9700520833333334}, {"start": 907.97, "end": 908.57, "word": " X", "probability": 0.68701171875}, {"start": 908.57, "end": 909.97, "word": " السالم", "probability": 0.69384765625}, {"start": 909.97, "end": 910.45, "word": " زي", "probability": 0.745849609375}, {"start": 910.45, "end": 910.57, "word": " ما", "probability": 0.93505859375}, {"start": 910.57, "end": 911.09, "word": " رسمنا", "probability": 0.9842122395833334}, {"start": 911.09, "end": 911.49, "word": " بارح", "probability": 0.6782633463541666}, {"start": 911.49, "end": 912.09, "word": " بالضبط", "probability": 0.866943359375}, {"start": 912.09, "end": 912.81, "word": " تماما", "probability": 0.9851888020833334}, {"start": 912.81, "end": 913.87, "word": " يبقى", "probability": 0.9173583984375}, {"start": 913.87, "end": 915.07, "word": " الكاردويد", "probability": 0.775}, {"start": 915.07, "end": 915.89, "word": " هيأخذ", "probability": 0.7802734375}, {"start": 915.89, "end": 916.53, "word": " الشكل", "probability": 0.968505859375}, {"start": 916.53, "end": 917.37, "word": " التالي", "probability": 0.978515625}, {"start": 917.37, "end": 920.69, "word": " بهذا", "probability": 0.622802734375}, {"start": 920.69, "end": 921.21, "word": " الشكل", "probability": 0.99072265625}, {"start": 921.21, "end": 922.57, "word": " ابتدينا", "probability": 0.68408203125}, {"start": 922.57, "end": 923.27, "word": " مين؟", "probability": 0.9280598958333334}], "temperature": 1.0}, {"id": 40, "seek": 94263, "start": 923.31, "end": 942.63, "text": "الدائرة مركزها على نقطة الاصل و نصف قطرة هي تساوي كم؟ اتنين والتقاطع سيتم وين؟ التقاطع سيتم عند النقطة اللي اتنين و by على اتنين", "tokens": [6027, 3215, 16373, 25720, 3714, 31747, 11622, 11296, 15844, 8717, 47432, 3660, 2423, 33546, 1211, 4032, 8717, 9381, 5172, 12174, 9566, 25720, 39896, 6055, 3794, 995, 45865, 9122, 2304, 22807, 1975, 2655, 1863, 9957, 16070, 2655, 4587, 41193, 3615, 8608, 36081, 2304, 4032, 9957, 22807, 16712, 4587, 41193, 3615, 8608, 36081, 2304, 43242, 28239, 47432, 3660, 13672, 1829, 1975, 2655, 1863, 9957, 4032, 538, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.2808035705770765, "compression_ratio": 1.7293233082706767, "no_speech_prob": 0.0, "words": [{"start": 923.31, "end": 924.29, "word": "الدائرة", "probability": 0.830078125}, {"start": 924.29, "end": 926.69, "word": " مركزها", "probability": 0.8597412109375}, {"start": 926.69, "end": 926.85, "word": " على", "probability": 0.343017578125}, {"start": 926.85, "end": 927.39, "word": " نقطة", "probability": 0.96484375}, {"start": 927.39, "end": 927.89, "word": " الاصل", "probability": 0.7984212239583334}, {"start": 927.89, "end": 928.05, "word": " و", "probability": 0.57275390625}, {"start": 928.05, "end": 928.43, "word": " نصف", "probability": 0.9046223958333334}, {"start": 928.43, "end": 928.71, "word": " قطرة", "probability": 0.7294921875}, {"start": 928.71, "end": 928.85, "word": " هي", "probability": 0.69189453125}, {"start": 928.85, "end": 929.21, "word": " تساوي", "probability": 0.723236083984375}, {"start": 929.21, "end": 930.39, "word": " كم؟", "probability": 0.6647135416666666}, {"start": 930.39, "end": 930.99, "word": " اتنين", "probability": 0.8856201171875}, {"start": 930.99, "end": 932.21, "word": " والتقاطع", "probability": 0.86865234375}, {"start": 932.21, "end": 933.19, "word": " سيتم", "probability": 0.9466145833333334}, {"start": 933.19, "end": 934.25, "word": " وين؟", "probability": 0.6706949869791666}, {"start": 934.25, "end": 935.03, "word": " التقاطع", "probability": 0.9144287109375}, {"start": 935.03, "end": 935.87, "word": " سيتم", "probability": 0.9811197916666666}, {"start": 935.87, "end": 936.51, "word": " عند", "probability": 0.98681640625}, {"start": 936.51, "end": 938.31, "word": " النقطة", "probability": 0.9449869791666666}, {"start": 938.31, "end": 938.95, "word": " اللي", "probability": 0.5975341796875}, {"start": 938.95, "end": 940.25, "word": " اتنين", "probability": 0.9210205078125}, {"start": 940.25, "end": 940.67, "word": " و", "probability": 0.1539306640625}, {"start": 940.67, "end": 940.97, "word": " by", "probability": 0.181640625}, {"start": 940.97, "end": 941.59, "word": " على", "probability": 0.69775390625}, {"start": 941.59, "end": 942.63, "word": " اتنين", "probability": 0.983154296875}], "temperature": 1.0}, {"id": 41, "seek": 97102, "start": 944.42, "end": 971.02, "text": "إتنين وباي على اتنين يبقى هذه النقطة اللي هي اتنين وباي على اتنين وهذه النقطة اللي هي اتنين وسالب باي على اتنين يبقى الدائرة هتجي لنص قطرها يساوي اتنين الشكل اللي عندنا هذا هيك يبقى هاي الدائرة اللي عندنا تمام", "tokens": [28814, 2655, 1863, 9957, 46599, 47302, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 29538, 28239, 47432, 3660, 13672, 1829, 39896, 1975, 2655, 1863, 9957, 46599, 47302, 15844, 1975, 2655, 1863, 9957, 37037, 24192, 28239, 47432, 3660, 13672, 1829, 39896, 1975, 2655, 1863, 9957, 46952, 6027, 3555, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 32748, 16373, 25720, 8032, 2655, 7435, 1829, 5296, 1863, 9381, 12174, 9566, 2288, 11296, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 25124, 28820, 13672, 1829, 43242, 8315, 23758, 39896, 4117, 7251, 3555, 4587, 7578, 8032, 47302, 32748, 16373, 25720, 13672, 1829, 43242, 8315, 46811, 10943], "avg_logprob": -0.17128537637445163, "compression_ratio": 2.578231292517007, "no_speech_prob": 0.0, "words": [{"start": 944.42, "end": 945.28, "word": "إتنين", "probability": 0.6986007690429688}, {"start": 945.28, "end": 946.14, "word": " وباي", "probability": 0.43975830078125}, {"start": 946.14, "end": 946.42, "word": " على", "probability": 0.740234375}, {"start": 946.42, "end": 946.98, "word": " اتنين", "probability": 0.9095458984375}, {"start": 946.98, "end": 947.8, "word": " يبقى", "probability": 0.937744140625}, {"start": 947.8, "end": 948.2, "word": " هذه", "probability": 0.6201171875}, {"start": 948.2, "end": 948.78, "word": " النقطة", "probability": 0.9602864583333334}, {"start": 948.78, "end": 948.94, "word": " اللي", "probability": 0.54437255859375}, {"start": 948.94, "end": 949.1, "word": " هي", "probability": 0.85693359375}, {"start": 949.1, "end": 949.78, "word": " اتنين", "probability": 0.947265625}, {"start": 949.78, "end": 950.74, "word": " وباي", "probability": 0.771484375}, {"start": 950.74, "end": 951.08, "word": " على", "probability": 0.8994140625}, {"start": 951.08, "end": 951.66, "word": " اتنين", "probability": 0.982421875}, {"start": 951.66, "end": 952.68, "word": " وهذه", "probability": 0.854736328125}, {"start": 952.68, "end": 953.12, "word": " النقطة", "probability": 0.9736328125}, {"start": 953.12, "end": 953.28, "word": " اللي", "probability": 0.9609375}, {"start": 953.28, "end": 953.42, "word": " هي", "probability": 0.89794921875}, {"start": 953.42, "end": 954.1, "word": " اتنين", "probability": 0.9884033203125}, {"start": 954.1, "end": 955.48, "word": " وسالب", "probability": 0.8186848958333334}, {"start": 955.48, "end": 955.96, "word": " باي", "probability": 0.852783203125}, {"start": 955.96, "end": 956.48, "word": " على", "probability": 0.90380859375}, {"start": 956.48, "end": 957.4, "word": " اتنين", "probability": 0.977294921875}, {"start": 957.4, "end": 958.46, "word": " يبقى", "probability": 0.9609375}, {"start": 958.46, "end": 958.92, "word": " الدائرة", "probability": 0.9705403645833334}, {"start": 958.92, "end": 959.46, "word": " هتجي", "probability": 0.76531982421875}, {"start": 959.46, "end": 959.88, "word": " لنص", "probability": 0.7902018229166666}, {"start": 959.88, "end": 960.48, "word": " قطرها", "probability": 0.947998046875}, {"start": 960.48, "end": 961.2, "word": " يساوي", "probability": 0.964111328125}, {"start": 961.2, "end": 961.84, "word": " اتنين", "probability": 0.9766845703125}, {"start": 961.84, "end": 962.82, "word": " الشكل", "probability": 0.760009765625}, {"start": 962.82, "end": 963.02, "word": " اللي", "probability": 0.98193359375}, {"start": 963.02, "end": 963.52, "word": " عندنا", "probability": 0.986328125}, {"start": 963.52, "end": 963.86, "word": " هذا", "probability": 0.84228515625}, {"start": 963.86, "end": 966.86, "word": " هيك", "probability": 0.9111328125}, {"start": 966.86, "end": 968.04, "word": " يبقى", "probability": 0.916259765625}, {"start": 968.04, "end": 968.3, "word": " هاي", "probability": 0.5792236328125}, {"start": 968.3, "end": 969.04, "word": " الدائرة", "probability": 0.98193359375}, {"start": 969.04, "end": 969.68, "word": " اللي", "probability": 0.9775390625}, {"start": 969.68, "end": 970.12, "word": " عندنا", "probability": 0.9638671875}, {"start": 970.12, "end": 971.02, "word": " تمام", "probability": 0.908203125}], "temperature": 1.0}, {"id": 42, "seek": 98871, "start": 972.67, "end": 988.71, "text": "طيب، الان جالي بدي المساحة المطلوب الأول المحصورة ما بين الاتنين، هي المساحة مين؟ ليه دي عليا هذه؟ طيب، نسأل السؤال التالي، هل المنحنة متمثل بالنسبة لمحور X؟", "tokens": [9566, 1829, 3555, 12399, 2423, 7649, 10874, 6027, 1829, 4724, 16254, 9673, 3794, 39319, 3660, 9673, 9566, 1211, 37746, 16247, 12610, 9673, 5016, 9381, 13063, 3660, 19446, 49374, 2423, 9307, 1863, 9957, 12399, 39896, 9673, 3794, 39319, 3660, 3714, 9957, 22807, 32239, 3224, 11778, 1829, 11203, 25528, 29538, 22807, 23032, 1829, 3555, 12399, 8717, 3794, 10721, 1211, 21136, 33604, 6027, 16712, 6027, 1829, 12399, 8032, 1211, 9673, 1863, 5016, 1863, 3660, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 22807], "avg_logprob": -0.2413603011299582, "compression_ratio": 1.881578947368421, "no_speech_prob": 0.0, "words": [{"start": 972.6700000000001, "end": 973.69, "word": "طيب،", "probability": 0.685546875}, {"start": 973.69, "end": 974.07, "word": " الان", "probability": 0.595947265625}, {"start": 974.07, "end": 974.49, "word": " جالي", "probability": 0.5579833984375}, {"start": 974.49, "end": 974.69, "word": " بدي", "probability": 0.4639892578125}, {"start": 974.69, "end": 975.69, "word": " المساحة", "probability": 0.94580078125}, {"start": 975.69, "end": 976.29, "word": " المطلوب", "probability": 0.606689453125}, {"start": 976.29, "end": 976.75, "word": " الأول", "probability": 0.891357421875}, {"start": 976.75, "end": 977.55, "word": " المحصورة", "probability": 0.8943359375}, {"start": 977.55, "end": 977.69, "word": " ما", "probability": 0.7783203125}, {"start": 977.69, "end": 977.87, "word": " بين", "probability": 0.9912109375}, {"start": 977.87, "end": 978.87, "word": " الاتنين،", "probability": 0.714892578125}, {"start": 978.87, "end": 978.99, "word": " هي", "probability": 0.74951171875}, {"start": 978.99, "end": 979.69, "word": " المساحة", "probability": 0.9918212890625}, {"start": 979.69, "end": 980.61, "word": " مين؟", "probability": 0.8427734375}, {"start": 980.61, "end": 980.85, "word": " ليه", "probability": 0.9033203125}, {"start": 980.85, "end": 980.97, "word": " دي", "probability": 0.913818359375}, {"start": 980.97, "end": 981.29, "word": " عليا", "probability": 0.71826171875}, {"start": 981.29, "end": 982.07, "word": " هذه؟", "probability": 0.5257568359375}, {"start": 982.07, "end": 983.91, "word": " طيب،", "probability": 0.802490234375}, {"start": 983.91, "end": 984.31, "word": " نسأل", "probability": 0.9464111328125}, {"start": 984.31, "end": 984.73, "word": " السؤال", "probability": 0.9488932291666666}, {"start": 984.73, "end": 985.33, "word": " التالي،", "probability": 0.8980712890625}, {"start": 985.33, "end": 985.53, "word": " هل", "probability": 0.94921875}, {"start": 985.53, "end": 986.29, "word": " المنحنة", "probability": 0.95576171875}, {"start": 986.29, "end": 987.05, "word": " متمثل", "probability": 0.873291015625}, {"start": 987.05, "end": 987.57, "word": " بالنسبة", "probability": 0.9908447265625}, {"start": 987.57, "end": 988.07, "word": " لمحور", "probability": 0.9861653645833334}, {"start": 988.07, "end": 988.71, "word": " X؟", "probability": 0.8623046875}], "temperature": 1.0}, {"id": 43, "seek": 101316, "start": 990.22, "end": 1013.16, "text": "كساية من البارح يبقى متماتلة تمام و الدائرة متماتلة كمان يعني النصف العلوي زي النصف السفلي إذا أنا لو جبت النصف العلوي للمساحة المطلوبة وضربته في اتنين بكون خلصنا من الموضوع تمام؟ وين المساحة اللي فوق ليه المساحة اللي عندنا هذه كلها؟", "tokens": [4117, 3794, 995, 10632, 9154, 29739, 9640, 5016, 7251, 3555, 4587, 7578, 44650, 2304, 9307, 37977, 46811, 10943, 4032, 32748, 16373, 25720, 44650, 2304, 9307, 37977, 9122, 2304, 7649, 37495, 22653, 28239, 9381, 5172, 18863, 1211, 45865, 30767, 1829, 28239, 9381, 5172, 21136, 5172, 20292, 11933, 15730, 41850, 45164, 10874, 3555, 2655, 28239, 9381, 5172, 18863, 1211, 45865, 5296, 19528, 3794, 39319, 3660, 9673, 9566, 1211, 37746, 3660, 4032, 11242, 25513, 47395, 8978, 1975, 2655, 1863, 9957, 4724, 30544, 16490, 1211, 9381, 8315, 9154, 9673, 2407, 11242, 45367, 46811, 10943, 22807, 4032, 9957, 9673, 3794, 39319, 3660, 13672, 1829, 6156, 30543, 32239, 3224, 9673, 3794, 39319, 3660, 13672, 1829, 43242, 8315, 29538, 28242, 11296, 22807], "avg_logprob": -0.20312500475295658, "compression_ratio": 2.103960396039604, "no_speech_prob": 0.0, "words": [{"start": 990.22, "end": 990.96, "word": "كساية", "probability": 0.4654541015625}, {"start": 990.96, "end": 991.66, "word": " من", "probability": 0.4462890625}, {"start": 991.66, "end": 992.22, "word": " البارح", "probability": 0.7305501302083334}, {"start": 992.22, "end": 992.84, "word": " يبقى", "probability": 0.829345703125}, {"start": 992.84, "end": 993.52, "word": " متماتلة", "probability": 0.69140625}, {"start": 993.52, "end": 993.84, "word": " تمام", "probability": 0.739990234375}, {"start": 993.84, "end": 993.98, "word": " و", "probability": 0.27294921875}, {"start": 993.98, "end": 994.4, "word": " الدائرة", "probability": 0.7035319010416666}, {"start": 994.4, "end": 995.06, "word": " متماتلة", "probability": 0.9022216796875}, {"start": 995.06, "end": 995.66, "word": " كمان", "probability": 0.94921875}, {"start": 995.66, "end": 996.76, "word": " يعني", "probability": 0.765380859375}, {"start": 996.76, "end": 997.32, "word": " النصف", "probability": 0.7945963541666666}, {"start": 997.32, "end": 997.74, "word": " العلوي", "probability": 0.87109375}, {"start": 997.74, "end": 998.0, "word": " زي", "probability": 0.95361328125}, {"start": 998.0, "end": 998.48, "word": " النصف", "probability": 0.9728190104166666}, {"start": 998.48, "end": 999.32, "word": " السفلي", "probability": 0.9521484375}, {"start": 999.32, "end": 1000.14, "word": " إذا", "probability": 0.6898193359375}, {"start": 1000.14, "end": 1000.5, "word": " أنا", "probability": 0.63232421875}, {"start": 1000.5, "end": 1000.7, "word": " لو", "probability": 0.982421875}, {"start": 1000.7, "end": 1001.26, "word": " جبت", "probability": 0.8626302083333334}, {"start": 1001.26, "end": 1002.0, "word": " النصف", "probability": 0.953125}, {"start": 1002.0, "end": 1002.52, "word": " العلوي", "probability": 0.8990885416666666}, {"start": 1002.52, "end": 1003.36, "word": " للمساحة", "probability": 0.95185546875}, {"start": 1003.36, "end": 1003.9, "word": " المطلوبة", "probability": 0.870947265625}, {"start": 1003.9, "end": 1004.48, "word": " وضربته", "probability": 0.862548828125}, {"start": 1004.48, "end": 1004.64, "word": " في", "probability": 0.90966796875}, {"start": 1004.64, "end": 1005.12, "word": " اتنين", "probability": 0.9320068359375}, {"start": 1005.12, "end": 1005.5, "word": " بكون", "probability": 0.732177734375}, {"start": 1005.5, "end": 1006.02, "word": " خلصنا", "probability": 0.96142578125}, {"start": 1006.02, "end": 1006.14, "word": " من", "probability": 0.970703125}, {"start": 1006.14, "end": 1006.68, "word": " الموضوع", "probability": 0.998779296875}, {"start": 1006.68, "end": 1007.84, "word": " تمام؟", "probability": 0.8326822916666666}, {"start": 1007.84, "end": 1008.38, "word": " وين", "probability": 0.692626953125}, {"start": 1008.38, "end": 1009.52, "word": " المساحة", "probability": 0.9757080078125}, {"start": 1009.52, "end": 1009.86, "word": " اللي", "probability": 0.768310546875}, {"start": 1009.86, "end": 1010.2, "word": " فوق", "probability": 0.81494140625}, {"start": 1010.2, "end": 1010.5, "word": " ليه", "probability": 0.65625}, {"start": 1010.5, "end": 1011.2, "word": " المساحة", "probability": 0.948974609375}, {"start": 1011.2, "end": 1011.38, "word": " اللي", "probability": 0.959716796875}, {"start": 1011.38, "end": 1011.84, "word": " عندنا", "probability": 0.98388671875}, {"start": 1011.84, "end": 1012.22, "word": " هذه", "probability": 0.78076171875}, {"start": 1012.22, "end": 1013.16, "word": " كلها؟", "probability": 0.9734700520833334}], "temperature": 1.0}, {"id": 44, "seek": 103908, "start": 1014.56, "end": 1039.08, "text": "هذا النصف العلوي، مظبوط؟ يبقى لو ضربت هذه المساحة في اتنين بيتم المطلوب طيب حدد المساحة بدقة اكتر بقولك اه ايش رأيك في المساحة المظللة هذه؟ اه لو جيت اخدت من النقطة هذه R و جيت طالع للمحيط هذه نقطة تقع على مين؟", "tokens": [3224, 15730, 28239, 9381, 5172, 18863, 1211, 45865, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 45164, 48812, 25513, 2655, 29538, 9673, 3794, 39319, 3660, 8978, 1975, 2655, 1863, 9957, 4724, 36081, 2304, 9673, 9566, 1211, 37746, 23032, 1829, 3555, 11331, 3215, 3215, 9673, 3794, 39319, 3660, 47525, 28671, 1975, 4117, 2655, 2288, 4724, 39648, 4117, 1975, 3224, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 8978, 9673, 3794, 39319, 3660, 9673, 19913, 1211, 37977, 29538, 22807, 1975, 3224, 45164, 10874, 36081, 1975, 9778, 3215, 2655, 9154, 28239, 47432, 3660, 29538, 497, 4032, 10874, 36081, 23032, 6027, 3615, 5296, 19528, 5016, 1829, 9566, 29538, 8717, 47432, 3660, 6055, 4587, 3615, 15844, 3714, 9957, 22807], "avg_logprob": -0.15371260734704825, "compression_ratio": 1.8756218905472637, "no_speech_prob": 0.0, "words": [{"start": 1014.56, "end": 1015.0, "word": "هذا", "probability": 0.85009765625}, {"start": 1015.0, "end": 1015.56, "word": " النصف", "probability": 0.6753743489583334}, {"start": 1015.56, "end": 1016.58, "word": " العلوي،", "probability": 0.753875732421875}, {"start": 1016.58, "end": 1017.5, "word": " مظبوط؟", "probability": 0.7972005208333334}, {"start": 1017.5, "end": 1017.84, "word": " يبقى", "probability": 0.9375}, {"start": 1017.84, "end": 1018.02, "word": " لو", "probability": 0.91796875}, {"start": 1018.02, "end": 1018.5, "word": " ضربت", "probability": 0.9765625}, {"start": 1018.5, "end": 1018.8, "word": " هذه", "probability": 0.95751953125}, {"start": 1018.8, "end": 1019.42, "word": " المساحة", "probability": 0.977294921875}, {"start": 1019.42, "end": 1019.6, "word": " في", "probability": 0.79443359375}, {"start": 1019.6, "end": 1020.0, "word": " اتنين", "probability": 0.9296875}, {"start": 1020.0, "end": 1020.68, "word": " بيتم", "probability": 0.620849609375}, {"start": 1020.68, "end": 1021.32, "word": " المطلوب", "probability": 0.890380859375}, {"start": 1021.32, "end": 1021.82, "word": " طيب", "probability": 0.8365885416666666}, {"start": 1021.82, "end": 1022.58, "word": " حدد", "probability": 0.9612630208333334}, {"start": 1022.58, "end": 1023.3, "word": " المساحة", "probability": 0.98388671875}, {"start": 1023.3, "end": 1023.78, "word": " بدقة", "probability": 0.96630859375}, {"start": 1023.78, "end": 1024.32, "word": " اكتر", "probability": 0.9228515625}, {"start": 1024.32, "end": 1025.54, "word": " بقولك", "probability": 0.8756510416666666}, {"start": 1025.54, "end": 1025.94, "word": " اه", "probability": 0.739501953125}, {"start": 1025.94, "end": 1026.3, "word": " ايش", "probability": 0.91015625}, {"start": 1026.3, "end": 1026.76, "word": " رأيك", "probability": 0.9111328125}, {"start": 1026.76, "end": 1026.9, "word": " في", "probability": 0.9287109375}, {"start": 1026.9, "end": 1027.66, "word": " المساحة", "probability": 0.9893798828125}, {"start": 1027.66, "end": 1028.64, "word": " المظللة", "probability": 0.8001708984375}, {"start": 1028.64, "end": 1030.44, "word": " هذه؟", "probability": 0.4395751953125}, {"start": 1030.44, "end": 1031.24, "word": " اه", "probability": 0.7529296875}, {"start": 1031.24, "end": 1032.04, "word": " لو", "probability": 0.84619140625}, {"start": 1032.04, "end": 1032.4, "word": " جيت", "probability": 0.98876953125}, {"start": 1032.4, "end": 1033.04, "word": " اخدت", "probability": 0.826904296875}, {"start": 1033.04, "end": 1033.24, "word": " من", "probability": 0.99072265625}, {"start": 1033.24, "end": 1033.9, "word": " النقطة", "probability": 0.9700520833333334}, {"start": 1033.9, "end": 1034.36, "word": " هذه", "probability": 0.8291015625}, {"start": 1034.36, "end": 1034.78, "word": " R", "probability": 0.70361328125}, {"start": 1034.78, "end": 1035.02, "word": " و", "probability": 0.90576171875}, {"start": 1035.02, "end": 1035.36, "word": " جيت", "probability": 0.938232421875}, {"start": 1035.36, "end": 1035.94, "word": " طالع", "probability": 0.9910481770833334}, {"start": 1035.94, "end": 1036.92, "word": " للمحيط", "probability": 0.97333984375}, {"start": 1036.92, "end": 1037.22, "word": " هذه", "probability": 0.6240234375}, {"start": 1037.22, "end": 1037.6, "word": " نقطة", "probability": 0.958984375}, {"start": 1037.6, "end": 1037.96, "word": " تقع", "probability": 0.9817708333333334}, {"start": 1037.96, "end": 1038.18, "word": " على", "probability": 0.74609375}, {"start": 1038.18, "end": 1039.08, "word": " مين؟", "probability": 0.9578450520833334}], "temperature": 1.0}, {"id": 45, "seek": 105791, "start": 1039.55, "end": 1057.91, "text": "على الكاردويد، اذا انا لو جيت قولت نص R تربية وكملت عليها من عن θ تساوي zero لعن θ تساوي بيعت إن بكون جيبت المساحة المظلة للصغيرة هذه فقط، لا غير، صحيح ولا لا؟", "tokens": [3615, 23942, 33251, 9640, 3215, 2407, 25708, 12399, 1975, 15730, 1975, 8315, 45164, 10874, 36081, 12174, 12610, 2655, 8717, 9381, 497, 6055, 25513, 10632, 4032, 24793, 1211, 2655, 25894, 11296, 9154, 18871, 12622, 6055, 3794, 995, 45865, 4018, 5296, 3615, 1863, 12622, 6055, 3794, 995, 45865, 4724, 1829, 34268, 36145, 4724, 30544, 10874, 1829, 3555, 2655, 9673, 3794, 39319, 3660, 9673, 19913, 37977, 24976, 9381, 17082, 48923, 29538, 6156, 47432, 12399, 20193, 32771, 13546, 12399, 20328, 5016, 1829, 5016, 49429, 20193, 22807], "avg_logprob": -0.2799322195799954, "compression_ratio": 1.5909090909090908, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1039.55, "end": 1040.03, "word": "على", "probability": 0.599609375}, {"start": 1040.03, "end": 1041.11, "word": " الكاردويد،", "probability": 0.6689453125}, {"start": 1041.11, "end": 1041.59, "word": " اذا", "probability": 0.6787109375}, {"start": 1041.59, "end": 1042.17, "word": " انا", "probability": 0.892333984375}, {"start": 1042.17, "end": 1042.79, "word": " لو", "probability": 0.95703125}, {"start": 1042.79, "end": 1043.05, "word": " جيت", "probability": 0.781005859375}, {"start": 1043.05, "end": 1043.49, "word": " قولت", "probability": 0.6328938802083334}, {"start": 1043.49, "end": 1044.15, "word": " نص", "probability": 0.928466796875}, {"start": 1044.15, "end": 1044.91, "word": " R", "probability": 0.53173828125}, {"start": 1044.91, "end": 1045.57, "word": " تربية", "probability": 0.8365885416666666}, {"start": 1045.57, "end": 1046.53, "word": " وكملت", "probability": 0.93017578125}, {"start": 1046.53, "end": 1047.13, "word": " عليها", "probability": 0.994140625}, {"start": 1047.13, "end": 1047.45, "word": " من", "probability": 0.9140625}, {"start": 1047.45, "end": 1047.73, "word": " عن", "probability": 0.299072265625}, {"start": 1047.73, "end": 1048.15, "word": " θ", "probability": 0.367431640625}, {"start": 1048.15, "end": 1048.95, "word": " تساوي", "probability": 0.958740234375}, {"start": 1048.95, "end": 1049.37, "word": " zero", "probability": 0.327880859375}, {"start": 1049.37, "end": 1049.85, "word": " لعن", "probability": 0.93505859375}, {"start": 1049.85, "end": 1050.09, "word": " θ", "probability": 0.62890625}, {"start": 1050.09, "end": 1050.93, "word": " تساوي", "probability": 0.9876708984375}, {"start": 1050.93, "end": 1052.17, "word": " بيعت", "probability": 0.6193033854166666}, {"start": 1052.17, "end": 1052.33, "word": " إن", "probability": 0.469970703125}, {"start": 1052.33, "end": 1052.63, "word": " بكون", "probability": 0.8486328125}, {"start": 1052.63, "end": 1053.05, "word": " جيبت", "probability": 0.8597412109375}, {"start": 1053.05, "end": 1053.79, "word": " المساحة", "probability": 0.9866943359375}, {"start": 1053.79, "end": 1054.37, "word": " المظلة", "probability": 0.8372395833333334}, {"start": 1054.37, "end": 1055.07, "word": " للصغيرة", "probability": 0.85791015625}, {"start": 1055.07, "end": 1055.35, "word": " هذه", "probability": 0.414794921875}, {"start": 1055.35, "end": 1056.27, "word": " فقط،", "probability": 0.8067220052083334}, {"start": 1056.27, "end": 1056.37, "word": " لا", "probability": 0.455078125}, {"start": 1056.37, "end": 1057.01, "word": " غير،", "probability": 0.8675130208333334}, {"start": 1057.01, "end": 1057.39, "word": " صحيح", "probability": 0.991943359375}, {"start": 1057.39, "end": 1057.53, "word": " ولا", "probability": 0.90966796875}, {"start": 1057.53, "end": 1057.91, "word": " لا؟", "probability": 0.84912109375}], "temperature": 1.0}, {"id": 46, "seek": 108449, "start": 1058.03, "end": 1084.49, "text": "الان بدي اروح اجيب المساحة التانية هذه هه هه انا افرجتهم عن بعض في الشكل المساحة التانية هذه بدك تكامل من theta تساوي ل theta تساوي كده؟ باي let me أرسم خط هيك هيك يقطع المنطقة الثانية من نقطة الأصل إلى محيط", "tokens": [6027, 7649, 4724, 16254, 1975, 32887, 5016, 1975, 7435, 1829, 3555, 9673, 3794, 39319, 3660, 16712, 7649, 10632, 29538, 8032, 3224, 8032, 3224, 1975, 8315, 1975, 5172, 47341, 2655, 16095, 18871, 45030, 11242, 8978, 25124, 28820, 9673, 3794, 39319, 3660, 16712, 7649, 10632, 29538, 47525, 4117, 6055, 4117, 10943, 1211, 9154, 9725, 6055, 3794, 995, 45865, 5296, 9725, 6055, 3794, 995, 45865, 9122, 3215, 3224, 22807, 4724, 47302, 718, 385, 5551, 2288, 38251, 16490, 9566, 39896, 4117, 39896, 4117, 7251, 47432, 3615, 9673, 1863, 9566, 28671, 6024, 104, 7649, 10632, 9154, 8717, 47432, 3660, 16247, 36520, 30731, 3714, 5016, 1829, 9566], "avg_logprob": -0.23008578767379126, "compression_ratio": 1.8645833333333333, "no_speech_prob": 0.0, "words": [{"start": 1058.03, "end": 1058.65, "word": "الان", "probability": 0.78466796875}, {"start": 1058.65, "end": 1058.91, "word": " بدي", "probability": 0.3267822265625}, {"start": 1058.91, "end": 1059.17, "word": " اروح", "probability": 0.7530924479166666}, {"start": 1059.17, "end": 1059.53, "word": " اجيب", "probability": 0.84228515625}, {"start": 1059.53, "end": 1060.43, "word": " المساحة", "probability": 0.928466796875}, {"start": 1060.43, "end": 1061.17, "word": " التانية", "probability": 0.9694010416666666}, {"start": 1061.17, "end": 1061.77, "word": " هذه", "probability": 0.4833984375}, {"start": 1061.77, "end": 1062.11, "word": " هه", "probability": 0.5262451171875}, {"start": 1062.11, "end": 1062.69, "word": " هه", "probability": 0.5059814453125}, {"start": 1062.69, "end": 1063.19, "word": " انا", "probability": 0.6451416015625}, {"start": 1063.19, "end": 1063.95, "word": " افرجتهم", "probability": 0.8943359375}, {"start": 1063.95, "end": 1064.13, "word": " عن", "probability": 0.95654296875}, {"start": 1064.13, "end": 1064.53, "word": " بعض", "probability": 0.996826171875}, {"start": 1064.53, "end": 1064.67, "word": " في", "probability": 0.76171875}, {"start": 1064.67, "end": 1065.17, "word": " الشكل", "probability": 0.97021484375}, {"start": 1065.17, "end": 1066.35, "word": " المساحة", "probability": 0.9730224609375}, {"start": 1066.35, "end": 1066.81, "word": " التانية", "probability": 0.9816080729166666}, {"start": 1066.81, "end": 1067.11, "word": " هذه", "probability": 0.529296875}, {"start": 1067.11, "end": 1067.55, "word": " بدك", "probability": 0.74267578125}, {"start": 1067.55, "end": 1068.33, "word": " تكامل", "probability": 0.8348388671875}, {"start": 1068.33, "end": 1068.63, "word": " من", "probability": 0.97119140625}, {"start": 1068.63, "end": 1069.09, "word": " theta", "probability": 0.475830078125}, {"start": 1069.09, "end": 1070.07, "word": " تساوي", "probability": 0.9354248046875}, {"start": 1070.07, "end": 1071.13, "word": " ل", "probability": 0.86865234375}, {"start": 1071.13, "end": 1071.59, "word": " theta", "probability": 0.83984375}, {"start": 1071.59, "end": 1072.27, "word": " تساوي", "probability": 0.9822998046875}, {"start": 1072.27, "end": 1073.47, "word": " كده؟", "probability": 0.64715576171875}, {"start": 1073.47, "end": 1074.13, "word": " باي", "probability": 0.3641357421875}, {"start": 1074.13, "end": 1074.77, "word": " let", "probability": 0.169189453125}, {"start": 1074.77, "end": 1075.21, "word": " me", "probability": 0.83154296875}, {"start": 1075.21, "end": 1076.13, "word": " أرسم", "probability": 0.8185221354166666}, {"start": 1076.13, "end": 1076.69, "word": " خط", "probability": 0.989990234375}, {"start": 1076.69, "end": 1077.27, "word": " هيك", "probability": 0.83447265625}, {"start": 1077.27, "end": 1077.97, "word": " هيك", "probability": 0.931396484375}, {"start": 1077.97, "end": 1078.95, "word": " يقطع", "probability": 0.96875}, {"start": 1078.95, "end": 1079.75, "word": " المنطقة", "probability": 0.9854736328125}, {"start": 1079.75, "end": 1080.35, "word": " الثانية", "probability": 0.8563232421875}, {"start": 1080.35, "end": 1080.85, "word": " من", "probability": 0.97119140625}, {"start": 1080.85, "end": 1081.83, "word": " نقطة", "probability": 0.9913736979166666}, {"start": 1081.83, "end": 1082.67, "word": " الأصل", "probability": 0.861083984375}, {"start": 1082.67, "end": 1083.23, "word": " إلى", "probability": 0.740234375}, {"start": 1083.23, "end": 1084.49, "word": " محيط", "probability": 0.9931640625}], "temperature": 1.0}, {"id": 47, "seek": 111315, "start": 1085.15, "end": 1113.15, "text": "الدائرة يبقى المنحنى التانى هو اتنين وليس الكاردويت اذا باجي بقوله ال area المطلوبة في نمرة A هي عبارة عن تكامل من Alpha إلى Beta يعني من Theta تساوي Zero إلى Theta تساوي Pi على اتنين لنص جينا نقول له هذا هو المنحنى الكاردويت", "tokens": [6027, 3215, 16373, 25720, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 7578, 16712, 7649, 7578, 31439, 1975, 2655, 1863, 9957, 4032, 20292, 3794, 33251, 9640, 3215, 2407, 36081, 1975, 15730, 4724, 26108, 1829, 4724, 39648, 3224, 2423, 1859, 9673, 9566, 1211, 37746, 3660, 8978, 8717, 2304, 25720, 316, 39896, 6225, 3555, 9640, 3660, 18871, 6055, 4117, 10943, 1211, 9154, 20588, 30731, 33286, 37495, 22653, 9154, 334, 7664, 6055, 3794, 995, 45865, 17182, 30731, 334, 7664, 6055, 3794, 995, 45865, 17741, 15844, 1975, 2655, 1863, 9957, 5296, 1863, 9381, 10874, 1829, 8315, 8717, 39648, 46740, 23758, 31439, 9673, 1863, 5016, 1863, 7578, 33251, 9640, 3215, 2407, 36081], "avg_logprob": -0.18504050746560097, "compression_ratio": 1.7616822429906542, "no_speech_prob": 0.0, "words": [{"start": 1085.15, "end": 1086.19, "word": "الدائرة", "probability": 0.77001953125}, {"start": 1086.19, "end": 1086.79, "word": " يبقى", "probability": 0.9188232421875}, {"start": 1086.79, "end": 1087.45, "word": " المنحنى", "probability": 0.840234375}, {"start": 1087.45, "end": 1087.97, "word": " التانى", "probability": 0.8863932291666666}, {"start": 1087.97, "end": 1088.33, "word": " هو", "probability": 0.9296875}, {"start": 1088.33, "end": 1089.05, "word": " اتنين", "probability": 0.79779052734375}, {"start": 1089.05, "end": 1090.07, "word": " وليس", "probability": 0.9191080729166666}, {"start": 1090.07, "end": 1091.01, "word": " الكاردويت", "probability": 0.7755126953125}, {"start": 1091.01, "end": 1091.67, "word": " اذا", "probability": 0.7294921875}, {"start": 1091.67, "end": 1092.13, "word": " باجي", "probability": 0.7620442708333334}, {"start": 1092.13, "end": 1092.75, "word": " بقوله", "probability": 0.8536783854166666}, {"start": 1092.75, "end": 1092.97, "word": " ال", "probability": 0.8916015625}, {"start": 1092.97, "end": 1093.43, "word": " area", "probability": 0.859375}, {"start": 1093.43, "end": 1095.07, "word": " المطلوبة", "probability": 0.96796875}, {"start": 1095.07, "end": 1095.49, "word": " في", "probability": 0.73681640625}, {"start": 1095.49, "end": 1095.99, "word": " نمرة", "probability": 0.7610677083333334}, {"start": 1095.99, "end": 1096.45, "word": " A", "probability": 0.421142578125}, {"start": 1096.45, "end": 1097.29, "word": " هي", "probability": 0.8828125}, {"start": 1097.29, "end": 1098.09, "word": " عبارة", "probability": 0.990966796875}, {"start": 1098.09, "end": 1098.51, "word": " عن", "probability": 0.98681640625}, {"start": 1098.51, "end": 1100.29, "word": " تكامل", "probability": 0.98876953125}, {"start": 1100.29, "end": 1101.03, "word": " من", "probability": 0.986328125}, {"start": 1101.03, "end": 1101.45, "word": " Alpha", "probability": 0.5849609375}, {"start": 1101.45, "end": 1101.87, "word": " إلى", "probability": 0.7138671875}, {"start": 1101.87, "end": 1102.31, "word": " Beta", "probability": 0.9140625}, {"start": 1102.31, "end": 1102.75, "word": " يعني", "probability": 0.78173828125}, {"start": 1102.75, "end": 1103.09, "word": " من", "probability": 0.97509765625}, {"start": 1103.09, "end": 1103.57, "word": " Theta", "probability": 0.61724853515625}, {"start": 1103.57, "end": 1104.23, "word": " تساوي", "probability": 0.80908203125}, {"start": 1104.23, "end": 1104.65, "word": " Zero", "probability": 0.84423828125}, {"start": 1104.65, "end": 1105.07, "word": " إلى", "probability": 0.81298828125}, {"start": 1105.07, "end": 1105.61, "word": " Theta", "probability": 0.9111328125}, {"start": 1105.61, "end": 1106.43, "word": " تساوي", "probability": 0.96435546875}, {"start": 1106.43, "end": 1106.85, "word": " Pi", "probability": 0.4970703125}, {"start": 1106.85, "end": 1107.25, "word": " على", "probability": 0.68994140625}, {"start": 1107.25, "end": 1108.37, "word": " اتنين", "probability": 0.9736328125}, {"start": 1108.37, "end": 1109.35, "word": " لنص", "probability": 0.9254557291666666}, {"start": 1109.35, "end": 1110.37, "word": " جينا", "probability": 0.8668619791666666}, {"start": 1110.37, "end": 1110.69, "word": " نقول", "probability": 0.65966796875}, {"start": 1110.69, "end": 1110.85, "word": " له", "probability": 0.47412109375}, {"start": 1110.85, "end": 1111.23, "word": " هذا", "probability": 0.91552734375}, {"start": 1111.23, "end": 1111.55, "word": " هو", "probability": 0.97998046875}, {"start": 1111.55, "end": 1112.27, "word": " المنحنى", "probability": 0.9642578125}, {"start": 1112.27, "end": 1113.15, "word": " الكاردويت", "probability": 0.9375}], "temperature": 1.0}, {"id": 48, "seek": 113022, "start": 1113.34, "end": 1130.22, "text": "الكاردويد اللي هو اتنين ناقص اتنين كوساين ثيتا يبقى اتنين ناقص اتنين كوساين ثيتا لكل تربيع هذا اليزي الأول دي ثيتا زائد", "tokens": [6027, 4117, 9640, 3215, 2407, 25708, 13672, 1829, 31439, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 9122, 41779, 995, 9957, 38637, 36081, 995, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 9122, 41779, 995, 9957, 38637, 36081, 995, 5296, 28820, 6055, 2288, 21292, 3615, 23758, 45595, 11622, 1829, 16247, 12610, 11778, 1829, 38637, 36081, 995, 30767, 16373, 3215], "avg_logprob": -0.1937934069169892, "compression_ratio": 1.9035087719298245, "no_speech_prob": 0.0, "words": [{"start": 1113.34, "end": 1114.26, "word": "الكاردويد", "probability": 0.7735595703125}, {"start": 1114.26, "end": 1114.4, "word": " اللي", "probability": 0.5445556640625}, {"start": 1114.4, "end": 1114.6, "word": " هو", "probability": 0.96728515625}, {"start": 1114.6, "end": 1115.04, "word": " اتنين", "probability": 0.86572265625}, {"start": 1115.04, "end": 1115.6, "word": " ناقص", "probability": 0.9468994140625}, {"start": 1115.6, "end": 1116.1, "word": " اتنين", "probability": 0.983642578125}, {"start": 1116.1, "end": 1116.72, "word": " كوساين", "probability": 0.61456298828125}, {"start": 1116.72, "end": 1117.24, "word": " ثيتا", "probability": 0.8523763020833334}, {"start": 1117.24, "end": 1118.38, "word": " يبقى", "probability": 0.9427490234375}, {"start": 1118.38, "end": 1119.2, "word": " اتنين", "probability": 0.9862060546875}, {"start": 1119.2, "end": 1120.52, "word": " ناقص", "probability": 0.98828125}, {"start": 1120.52, "end": 1121.76, "word": " اتنين", "probability": 0.9857177734375}, {"start": 1121.76, "end": 1122.64, "word": " كوساين", "probability": 0.923583984375}, {"start": 1122.64, "end": 1123.3, "word": " ثيتا", "probability": 0.9147135416666666}, {"start": 1123.3, "end": 1123.92, "word": " لكل", "probability": 0.853515625}, {"start": 1123.92, "end": 1125.44, "word": " تربيع", "probability": 0.815185546875}, {"start": 1125.44, "end": 1126.66, "word": " هذا", "probability": 0.72265625}, {"start": 1126.66, "end": 1126.98, "word": " اليزي", "probability": 0.6446940104166666}, {"start": 1126.98, "end": 1127.66, "word": " الأول", "probability": 0.79248046875}, {"start": 1127.66, "end": 1128.44, "word": " دي", "probability": 0.6937255859375}, {"start": 1128.44, "end": 1129.34, "word": " ثيتا", "probability": 0.8917643229166666}, {"start": 1129.34, "end": 1130.22, "word": " زائد", "probability": 0.8455403645833334}], "temperature": 1.0}, {"id": 49, "seek": 115974, "start": 1130.52, "end": 1159.74, "text": "تكامل جينا لمين للدائرة من باي على اتنين الى باي من باي على اتنين الى باي لنص اتنين تربيع دي ثتر اجمل مسحتين نضربها في اتنين هاي بدنا نضرب التكاملات لاتنين كله في اتنين وهذه في اتنين بتم المطلب", "tokens": [2655, 4117, 10943, 1211, 10874, 1829, 8315, 32767, 9957, 24976, 3215, 16373, 25720, 9154, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 2423, 7578, 4724, 47302, 9154, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 2423, 7578, 4724, 47302, 5296, 1863, 9381, 1975, 2655, 1863, 9957, 6055, 2288, 21292, 3615, 11778, 1829, 38637, 2655, 2288, 1975, 7435, 42213, 47524, 33753, 9957, 8717, 11242, 25513, 11296, 8978, 1975, 2655, 1863, 9957, 8032, 47302, 47525, 8315, 8717, 11242, 25513, 16712, 4117, 10943, 1211, 9307, 5296, 9307, 1863, 9957, 28242, 3224, 8978, 1975, 2655, 1863, 9957, 37037, 24192, 8978, 1975, 2655, 1863, 9957, 39894, 2304, 9673, 9566, 46152], "avg_logprob": -0.19711539106300244, "compression_ratio": 2.21656050955414, "no_speech_prob": 0.0, "words": [{"start": 1130.52, "end": 1131.66, "word": "تكامل", "probability": 0.8636474609375}, {"start": 1131.66, "end": 1132.38, "word": " جينا", "probability": 0.7411295572916666}, {"start": 1132.38, "end": 1133.04, "word": " لمين", "probability": 0.598388671875}, {"start": 1133.04, "end": 1134.38, "word": " للدائرة", "probability": 0.78887939453125}, {"start": 1134.38, "end": 1134.84, "word": " من", "probability": 0.89697265625}, {"start": 1134.84, "end": 1135.1, "word": " باي", "probability": 0.548095703125}, {"start": 1135.1, "end": 1135.38, "word": " على", "probability": 0.8076171875}, {"start": 1135.38, "end": 1135.92, "word": " اتنين", "probability": 0.9697265625}, {"start": 1135.92, "end": 1136.4, "word": " الى", "probability": 0.7371826171875}, {"start": 1136.4, "end": 1136.9, "word": " باي", "probability": 0.8095703125}, {"start": 1136.9, "end": 1137.62, "word": " من", "probability": 0.69189453125}, {"start": 1137.62, "end": 1138.2, "word": " باي", "probability": 0.865234375}, {"start": 1138.2, "end": 1138.8, "word": " على", "probability": 0.9091796875}, {"start": 1138.8, "end": 1139.52, "word": " اتنين", "probability": 0.988525390625}, {"start": 1139.52, "end": 1140.38, "word": " الى", "probability": 0.984619140625}, {"start": 1140.38, "end": 1140.92, "word": " باي", "probability": 0.808837890625}, {"start": 1140.92, "end": 1142.28, "word": " لنص", "probability": 0.9371744791666666}, {"start": 1142.28, "end": 1143.86, "word": " اتنين", "probability": 0.9345703125}, {"start": 1143.86, "end": 1145.18, "word": " تربيع", "probability": 0.7098388671875}, {"start": 1145.18, "end": 1145.44, "word": " دي", "probability": 0.7939453125}, {"start": 1145.44, "end": 1146.84, "word": " ثتر", "probability": 0.5892333984375}, {"start": 1146.84, "end": 1148.26, "word": " اجمل", "probability": 0.8546549479166666}, {"start": 1148.26, "end": 1149.04, "word": " مسحتين", "probability": 0.8406575520833334}, {"start": 1149.04, "end": 1150.5, "word": " نضربها", "probability": 0.9661865234375}, {"start": 1150.5, "end": 1150.74, "word": " في", "probability": 0.69189453125}, {"start": 1150.74, "end": 1151.74, "word": " اتنين", "probability": 0.9852294921875}, {"start": 1151.74, "end": 1152.28, "word": " هاي", "probability": 0.51171875}, {"start": 1152.28, "end": 1152.52, "word": " بدنا", "probability": 0.91357421875}, {"start": 1152.52, "end": 1152.94, "word": " نضرب", "probability": 0.99609375}, {"start": 1152.94, "end": 1153.94, "word": " التكاملات", "probability": 0.96845703125}, {"start": 1153.94, "end": 1154.62, "word": " لاتنين", "probability": 0.8487548828125}, {"start": 1154.62, "end": 1155.34, "word": " كله", "probability": 0.93017578125}, {"start": 1155.34, "end": 1155.54, "word": " في", "probability": 0.9228515625}, {"start": 1155.54, "end": 1156.16, "word": " اتنين", "probability": 0.991943359375}, {"start": 1156.16, "end": 1157.36, "word": " وهذه", "probability": 0.51123046875}, {"start": 1157.36, "end": 1157.66, "word": " في", "probability": 0.9287109375}, {"start": 1157.66, "end": 1158.36, "word": " اتنين", "probability": 0.9910888671875}, {"start": 1158.36, "end": 1159.0, "word": " بتم", "probability": 0.55810546875}, {"start": 1159.0, "end": 1159.74, "word": " المطلب", "probability": 0.89208984375}], "temperature": 1.0}, {"id": 50, "seek": 118541, "start": 1161.15, "end": 1185.41, "text": "بكون فعلا جيبنا المساحة الكلية المطلوبة طيب نصف اتنين مع السلامة يبقى بصير تكامل من zero لغاية πاي على اتنين للاربعة ناقص تمانية كوصين الزاوية ثيتا زائد اربعة كوصين تربية ثيتا كله في دي ثيتا", "tokens": [3555, 30544, 6156, 3615, 15040, 10874, 1829, 3555, 8315, 9673, 3794, 39319, 3660, 33251, 1211, 10632, 9673, 9566, 1211, 37746, 3660, 23032, 1829, 3555, 8717, 9381, 5172, 1975, 2655, 1863, 9957, 20449, 21136, 37440, 3660, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 6055, 4117, 10943, 1211, 9154, 4018, 5296, 17082, 995, 10632, 4654, 47302, 15844, 1975, 2655, 1863, 9957, 24976, 9640, 3555, 27884, 8717, 995, 4587, 9381, 46811, 7649, 10632, 9122, 2407, 9381, 9957, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 30767, 16373, 3215, 1975, 25513, 27884, 9122, 2407, 9381, 9957, 6055, 25513, 10632, 38637, 36081, 995, 28242, 3224, 8978, 11778, 1829, 38637, 36081, 995], "avg_logprob": -0.18866823126222484, "compression_ratio": 1.8, "no_speech_prob": 0.0, "words": [{"start": 1161.15, "end": 1161.59, "word": "بكون", "probability": 0.43017578125}, {"start": 1161.59, "end": 1162.13, "word": " فعلا", "probability": 0.8636067708333334}, {"start": 1162.13, "end": 1162.95, "word": " جيبنا", "probability": 0.7637939453125}, {"start": 1162.95, "end": 1163.79, "word": " المساحة", "probability": 0.9566650390625}, {"start": 1163.79, "end": 1164.73, "word": " الكلية", "probability": 0.75146484375}, {"start": 1164.73, "end": 1165.65, "word": " المطلوبة", "probability": 0.89560546875}, {"start": 1165.65, "end": 1166.43, "word": " طيب", "probability": 0.8304036458333334}, {"start": 1166.43, "end": 1167.27, "word": " نصف", "probability": 0.9171549479166666}, {"start": 1167.27, "end": 1167.73, "word": " اتنين", "probability": 0.83843994140625}, {"start": 1167.73, "end": 1167.99, "word": " مع", "probability": 0.97607421875}, {"start": 1167.99, "end": 1169.29, "word": " السلامة", "probability": 0.9658203125}, {"start": 1169.29, "end": 1169.69, "word": " يبقى", "probability": 0.9521484375}, {"start": 1169.69, "end": 1170.07, "word": " بصير", "probability": 0.79833984375}, {"start": 1170.07, "end": 1170.93, "word": " تكامل", "probability": 0.9776611328125}, {"start": 1170.93, "end": 1171.21, "word": " من", "probability": 0.9892578125}, {"start": 1171.21, "end": 1171.53, "word": " zero", "probability": 0.60400390625}, {"start": 1171.53, "end": 1172.29, "word": " لغاية", "probability": 0.9696044921875}, {"start": 1172.29, "end": 1172.69, "word": " πاي", "probability": 0.31591796875}, {"start": 1172.69, "end": 1172.97, "word": " على", "probability": 0.80078125}, {"start": 1172.97, "end": 1173.61, "word": " اتنين", "probability": 0.97900390625}, {"start": 1173.61, "end": 1174.83, "word": " للاربعة", "probability": 0.836181640625}, {"start": 1174.83, "end": 1175.43, "word": " ناقص", "probability": 0.9788818359375}, {"start": 1175.43, "end": 1176.07, "word": " تمانية", "probability": 0.9763997395833334}, {"start": 1176.07, "end": 1176.75, "word": " كوصين", "probability": 0.7242431640625}, {"start": 1176.75, "end": 1177.39, "word": " الزاوية", "probability": 0.87490234375}, {"start": 1177.39, "end": 1178.07, "word": " ثيتا", "probability": 0.7181803385416666}, {"start": 1178.07, "end": 1179.25, "word": " زائد", "probability": 0.9117838541666666}, {"start": 1179.25, "end": 1180.03, "word": " اربعة", "probability": 0.8605143229166666}, {"start": 1180.03, "end": 1180.97, "word": " كوصين", "probability": 0.9847412109375}, {"start": 1180.97, "end": 1181.89, "word": " تربية", "probability": 0.7314860026041666}, {"start": 1181.89, "end": 1182.93, "word": " ثيتا", "probability": 0.9191080729166666}, {"start": 1182.93, "end": 1184.25, "word": " كله", "probability": 0.850830078125}, {"start": 1184.25, "end": 1184.47, "word": " في", "probability": 0.9169921875}, {"start": 1184.47, "end": 1184.69, "word": " دي", "probability": 0.806396484375}, {"start": 1184.69, "end": 1185.41, "word": " ثيتا", "probability": 0.81201171875}], "temperature": 1.0}, {"id": 51, "seek": 119653, "start": 1185.63, "end": 1196.53, "text": "زائد تكامل من باي على اتنين إلى باي لمن لا لاتنين دي نص مع اتنين لاربعة دي ثيتا", "tokens": [11622, 16373, 3215, 6055, 4117, 10943, 1211, 9154, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 30731, 4724, 47302, 5296, 27842, 20193, 5296, 9307, 1863, 9957, 11778, 1829, 8717, 9381, 20449, 1975, 2655, 1863, 9957, 5296, 9640, 3555, 27884, 11778, 1829, 38637, 36081, 995], "avg_logprob": -0.27965198728171264, "compression_ratio": 1.5326086956521738, "no_speech_prob": 0.0, "words": [{"start": 1185.63, "end": 1186.91, "word": "زائد", "probability": 0.7163899739583334}, {"start": 1186.91, "end": 1188.13, "word": " تكامل", "probability": 0.9571533203125}, {"start": 1188.13, "end": 1188.37, "word": " من", "probability": 0.8759765625}, {"start": 1188.37, "end": 1188.75, "word": " باي", "probability": 0.3907470703125}, {"start": 1188.75, "end": 1189.01, "word": " على", "probability": 0.654296875}, {"start": 1189.01, "end": 1189.71, "word": " اتنين", "probability": 0.9622802734375}, {"start": 1189.71, "end": 1190.11, "word": " إلى", "probability": 0.54833984375}, {"start": 1190.11, "end": 1190.83, "word": " باي", "probability": 0.760009765625}, {"start": 1190.83, "end": 1191.77, "word": " لمن", "probability": 0.83203125}, {"start": 1191.77, "end": 1192.09, "word": " لا", "probability": 0.306884765625}, {"start": 1192.09, "end": 1193.67, "word": " لاتنين", "probability": 0.92138671875}, {"start": 1193.67, "end": 1194.15, "word": " دي", "probability": 0.6142578125}, {"start": 1194.15, "end": 1194.57, "word": " نص", "probability": 0.96484375}, {"start": 1194.57, "end": 1194.89, "word": " مع", "probability": 0.6552734375}, {"start": 1194.89, "end": 1195.25, "word": " اتنين", "probability": 0.9456787109375}, {"start": 1195.25, "end": 1195.85, "word": " لاربعة", "probability": 0.86767578125}, {"start": 1195.85, "end": 1196.11, "word": " دي", "probability": 0.943115234375}, {"start": 1196.11, "end": 1196.53, "word": " ثيتا", "probability": 0.7101236979166666}], "temperature": 1.0}, {"id": 52, "seek": 121878, "start": 1199.32, "end": 1218.78, "text": "يبقى هذا الكلام يساوي، إيش رايك بتاخد أربعة برا عامل مشترك؟ يبقى هاي أربعة برا، بضل تكامل من zero لπi على اتنين لواحد ناقص اتنين كوصين الزاوية تيتا، هذه كوصين تربية ليه النص في واحد", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 12399, 11933, 1829, 8592, 12602, 47302, 4117, 39894, 47283, 3215, 5551, 25513, 27884, 4724, 23557, 6225, 10943, 1211, 37893, 2655, 31747, 22807, 7251, 3555, 4587, 7578, 8032, 47302, 5551, 25513, 27884, 4724, 23557, 12399, 4724, 11242, 1211, 6055, 4117, 10943, 1211, 9154, 4018, 5296, 4339, 72, 15844, 1975, 2655, 1863, 9957, 5296, 14407, 24401, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 9122, 2407, 9381, 9957, 6024, 110, 995, 2407, 10632, 6055, 36081, 995, 12399, 29538, 9122, 2407, 9381, 9957, 6055, 25513, 10632, 32239, 3224, 28239, 9381, 8978, 36764, 24401], "avg_logprob": -0.26168081656243036, "compression_ratio": 1.7, "no_speech_prob": 0.0, "words": [{"start": 1199.32, "end": 1199.78, "word": "يبقى", "probability": 0.80389404296875}, {"start": 1199.78, "end": 1200.02, "word": " هذا", "probability": 0.900390625}, {"start": 1200.02, "end": 1200.64, "word": " الكلام", "probability": 0.955078125}, {"start": 1200.64, "end": 1201.98, "word": " يساوي،", "probability": 0.81533203125}, {"start": 1201.98, "end": 1202.36, "word": " إيش", "probability": 0.6715087890625}, {"start": 1202.36, "end": 1202.72, "word": " رايك", "probability": 0.8460286458333334}, {"start": 1202.72, "end": 1203.24, "word": " بتاخد", "probability": 0.76123046875}, {"start": 1203.24, "end": 1203.68, "word": " أربعة", "probability": 0.8445638020833334}, {"start": 1203.68, "end": 1203.96, "word": " برا", "probability": 0.8046875}, {"start": 1203.96, "end": 1204.38, "word": " عامل", "probability": 0.8218587239583334}, {"start": 1204.38, "end": 1205.26, "word": " مشترك؟", "probability": 0.798583984375}, {"start": 1205.26, "end": 1205.78, "word": " يبقى", "probability": 0.957275390625}, {"start": 1205.78, "end": 1206.08, "word": " هاي", "probability": 0.707763671875}, {"start": 1206.08, "end": 1206.68, "word": " أربعة", "probability": 0.9549153645833334}, {"start": 1206.68, "end": 1207.52, "word": " برا،", "probability": 0.8072916666666666}, {"start": 1207.52, "end": 1207.9, "word": " بضل", "probability": 0.5869954427083334}, {"start": 1207.9, "end": 1208.6, "word": " تكامل", "probability": 0.959228515625}, {"start": 1208.6, "end": 1208.84, "word": " من", "probability": 0.9951171875}, {"start": 1208.84, "end": 1209.16, "word": " zero", "probability": 0.560546875}, {"start": 1209.16, "end": 1209.68, "word": " لπi", "probability": 0.4761555989583333}, {"start": 1209.68, "end": 1209.94, "word": " على", "probability": 0.65869140625}, {"start": 1209.94, "end": 1210.5, "word": " اتنين", "probability": 0.916748046875}, {"start": 1210.5, "end": 1211.46, "word": " لواحد", "probability": 0.8194986979166666}, {"start": 1211.46, "end": 1212.1, "word": " ناقص", "probability": 0.956787109375}, {"start": 1212.1, "end": 1212.56, "word": " اتنين", "probability": 0.9820556640625}, {"start": 1212.56, "end": 1213.22, "word": " كوصين", "probability": 0.6978759765625}, {"start": 1213.22, "end": 1213.86, "word": " الزاوية", "probability": 0.91171875}, {"start": 1213.86, "end": 1214.74, "word": " تيتا،", "probability": 0.665374755859375}, {"start": 1214.74, "end": 1215.02, "word": " هذه", "probability": 0.370361328125}, {"start": 1215.02, "end": 1215.88, "word": " كوصين", "probability": 0.9520263671875}, {"start": 1215.88, "end": 1216.6, "word": " تربية", "probability": 0.8069661458333334}, {"start": 1216.6, "end": 1216.98, "word": " ليه", "probability": 0.528076171875}, {"start": 1216.98, "end": 1217.54, "word": " النص", "probability": 0.819091796875}, {"start": 1217.54, "end": 1218.06, "word": " في", "probability": 0.79345703125}, {"start": 1218.06, "end": 1218.78, "word": " واحد", "probability": 0.98974609375}], "temperature": 1.0}, {"id": 53, "seek": 123338, "start": 1219.1, "end": 1233.38, "text": "زائد كوصين اتنين ثيتا كله بالنسبة الى D ثيتا وهذا زائد اربعة ثيتا من باي على اتنين لغاية باي", "tokens": [11622, 16373, 3215, 9122, 2407, 9381, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 413, 38637, 36081, 995, 37037, 15730, 30767, 16373, 3215, 1975, 25513, 27884, 38637, 36081, 995, 9154, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 5296, 17082, 995, 10632, 4724, 47302], "avg_logprob": -0.24819712799329025, "compression_ratio": 1.6019417475728155, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1219.1, "end": 1219.88, "word": "زائد", "probability": 0.7630208333333334}, {"start": 1219.88, "end": 1220.62, "word": " كوصين", "probability": 0.59600830078125}, {"start": 1220.62, "end": 1221.18, "word": " اتنين", "probability": 0.9532470703125}, {"start": 1221.18, "end": 1221.92, "word": " ثيتا", "probability": 0.7902018229166666}, {"start": 1221.92, "end": 1223.08, "word": " كله", "probability": 0.877197265625}, {"start": 1223.08, "end": 1223.72, "word": " بالنسبة", "probability": 0.989990234375}, {"start": 1223.72, "end": 1224.1, "word": " الى", "probability": 0.678466796875}, {"start": 1224.1, "end": 1225.34, "word": " D", "probability": 0.25830078125}, {"start": 1225.34, "end": 1226.04, "word": " ثيتا", "probability": 0.791259765625}, {"start": 1226.04, "end": 1227.04, "word": " وهذا", "probability": 0.68310546875}, {"start": 1227.04, "end": 1228.04, "word": " زائد", "probability": 0.89013671875}, {"start": 1228.04, "end": 1228.88, "word": " اربعة", "probability": 0.8601888020833334}, {"start": 1228.88, "end": 1229.98, "word": " ثيتا", "probability": 0.9443359375}, {"start": 1229.98, "end": 1230.28, "word": " من", "probability": 0.9638671875}, {"start": 1230.28, "end": 1230.62, "word": " باي", "probability": 0.4814453125}, {"start": 1230.62, "end": 1230.92, "word": " على", "probability": 0.7587890625}, {"start": 1230.92, "end": 1231.66, "word": " اتنين", "probability": 0.9832763671875}, {"start": 1231.66, "end": 1232.78, "word": " لغاية", "probability": 0.986572265625}, {"start": 1232.78, "end": 1233.38, "word": " باي", "probability": 0.794677734375}], "temperature": 1.0}, {"id": 54, "seek": 125017, "start": 1234.29, "end": 1250.17, "text": "يبقى النتيجة هي أربعة برا وهي تكمل من zero لπاية على اتنين لواحد ناقص اتنين cosine الزاوية ثيتا مش واحد بيصير و نص بجهده بيصير تلاتة على اتنين", "tokens": [1829, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 39896, 5551, 25513, 27884, 4724, 23557, 37037, 1829, 6055, 24793, 1211, 9154, 4018, 5296, 4339, 995, 10632, 15844, 1975, 2655, 1863, 9957, 5296, 14407, 24401, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 23565, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 37893, 36764, 24401, 4724, 1829, 9381, 13546, 4032, 8717, 9381, 4724, 7435, 3224, 3215, 3224, 4724, 1829, 9381, 13546, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.2323971458628208, "compression_ratio": 1.5732484076433122, "no_speech_prob": 0.0, "words": [{"start": 1234.29, "end": 1234.91, "word": "يبقى", "probability": 0.83740234375}, {"start": 1234.91, "end": 1235.55, "word": " النتيجة", "probability": 0.93896484375}, {"start": 1235.55, "end": 1235.81, "word": " هي", "probability": 0.76611328125}, {"start": 1235.81, "end": 1236.33, "word": " أربعة", "probability": 0.7471516927083334}, {"start": 1236.33, "end": 1236.85, "word": " برا", "probability": 0.779052734375}, {"start": 1236.85, "end": 1237.63, "word": " وهي", "probability": 0.6756591796875}, {"start": 1237.63, "end": 1238.29, "word": " تكمل", "probability": 0.8766276041666666}, {"start": 1238.29, "end": 1238.51, "word": " من", "probability": 0.9892578125}, {"start": 1238.51, "end": 1238.89, "word": " zero", "probability": 0.52685546875}, {"start": 1238.89, "end": 1239.47, "word": " لπاية", "probability": 0.4921875}, {"start": 1239.47, "end": 1239.71, "word": " على", "probability": 0.67138671875}, {"start": 1239.71, "end": 1240.39, "word": " اتنين", "probability": 0.9493408203125}, {"start": 1240.39, "end": 1241.49, "word": " لواحد", "probability": 0.8282877604166666}, {"start": 1241.49, "end": 1242.15, "word": " ناقص", "probability": 0.97314453125}, {"start": 1242.15, "end": 1242.67, "word": " اتنين", "probability": 0.98193359375}, {"start": 1242.67, "end": 1243.17, "word": " cosine", "probability": 0.274658203125}, {"start": 1243.17, "end": 1244.05, "word": " الزاوية", "probability": 0.866796875}, {"start": 1244.05, "end": 1244.77, "word": " ثيتا", "probability": 0.6498209635416666}, {"start": 1244.77, "end": 1245.53, "word": " مش", "probability": 0.6357421875}, {"start": 1245.53, "end": 1245.93, "word": " واحد", "probability": 0.978271484375}, {"start": 1245.93, "end": 1246.33, "word": " بيصير", "probability": 0.9183349609375}, {"start": 1246.33, "end": 1246.49, "word": " و", "probability": 0.87744140625}, {"start": 1246.49, "end": 1246.81, "word": " نص", "probability": 0.887451171875}, {"start": 1246.81, "end": 1247.41, "word": " بجهده", "probability": 0.638232421875}, {"start": 1247.41, "end": 1248.05, "word": " بيصير", "probability": 0.889892578125}, {"start": 1248.05, "end": 1249.25, "word": " تلاتة", "probability": 0.956298828125}, {"start": 1249.25, "end": 1249.55, "word": " على", "probability": 0.79638671875}, {"start": 1249.55, "end": 1250.17, "word": " اتنين", "probability": 0.9827880859375}], "temperature": 1.0}, {"id": 55, "seek": 127055, "start": 1251.13, "end": 1270.55, "text": "واحد صحيح وهنا نص يبقى واحد و نص ثلاثة على اتنين هذه نزلناها زي ما هي زائد نص cosine اتنين ثيتا كله في دي ثيتا وهذه زائد اربعة في باي ناقص باي على اتنين", "tokens": [14407, 24401, 20328, 5016, 1829, 5016, 37037, 8315, 8717, 9381, 7251, 3555, 4587, 7578, 36764, 24401, 4032, 8717, 9381, 38637, 1211, 5718, 104, 3660, 15844, 1975, 2655, 1863, 9957, 29538, 8717, 11622, 1211, 8315, 11296, 30767, 1829, 19446, 39896, 30767, 16373, 3215, 8717, 9381, 23565, 1975, 2655, 1863, 9957, 38637, 36081, 995, 28242, 3224, 8978, 11778, 1829, 38637, 36081, 995, 37037, 24192, 30767, 16373, 3215, 1975, 25513, 27884, 8978, 4724, 47302, 8717, 995, 4587, 9381, 4724, 47302, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.1828877997685628, "compression_ratio": 1.6878980891719746, "no_speech_prob": 0.0, "words": [{"start": 1251.13, "end": 1251.67, "word": "واحد", "probability": 0.55181884765625}, {"start": 1251.67, "end": 1252.17, "word": " صحيح", "probability": 0.94580078125}, {"start": 1252.17, "end": 1252.55, "word": " وهنا", "probability": 0.823486328125}, {"start": 1252.55, "end": 1252.97, "word": " نص", "probability": 0.98095703125}, {"start": 1252.97, "end": 1253.31, "word": " يبقى", "probability": 0.8370361328125}, {"start": 1253.31, "end": 1253.67, "word": " واحد", "probability": 0.95751953125}, {"start": 1253.67, "end": 1253.83, "word": " و", "probability": 0.98193359375}, {"start": 1253.83, "end": 1254.13, "word": " نص", "probability": 0.8115234375}, {"start": 1254.13, "end": 1254.67, "word": " ثلاثة", "probability": 0.822802734375}, {"start": 1254.67, "end": 1254.83, "word": " على", "probability": 0.7412109375}, {"start": 1254.83, "end": 1255.31, "word": " اتنين", "probability": 0.96484375}, {"start": 1255.31, "end": 1255.93, "word": " هذه", "probability": 0.5380859375}, {"start": 1255.93, "end": 1256.77, "word": " نزلناها", "probability": 0.9640625}, {"start": 1256.77, "end": 1257.11, "word": " زي", "probability": 0.98583984375}, {"start": 1257.11, "end": 1257.31, "word": " ما", "probability": 0.88037109375}, {"start": 1257.31, "end": 1257.67, "word": " هي", "probability": 0.78515625}, {"start": 1257.67, "end": 1258.95, "word": " زائد", "probability": 0.85107421875}, {"start": 1258.95, "end": 1259.51, "word": " نص", "probability": 0.993408203125}, {"start": 1259.51, "end": 1260.57, "word": " cosine", "probability": 0.331298828125}, {"start": 1260.57, "end": 1261.29, "word": " اتنين", "probability": 0.9306640625}, {"start": 1261.29, "end": 1262.05, "word": " ثيتا", "probability": 0.6687825520833334}, {"start": 1262.05, "end": 1262.95, "word": " كله", "probability": 0.896728515625}, {"start": 1262.95, "end": 1263.09, "word": " في", "probability": 0.9287109375}, {"start": 1263.09, "end": 1263.31, "word": " دي", "probability": 0.6668701171875}, {"start": 1263.31, "end": 1263.99, "word": " ثيتا", "probability": 0.90478515625}, {"start": 1263.99, "end": 1264.87, "word": " وهذه", "probability": 0.79833984375}, {"start": 1264.87, "end": 1265.61, "word": " زائد", "probability": 0.9228515625}, {"start": 1265.61, "end": 1266.51, "word": " اربعة", "probability": 0.7513020833333334}, {"start": 1266.51, "end": 1266.89, "word": " في", "probability": 0.9580078125}, {"start": 1266.89, "end": 1267.57, "word": " باي", "probability": 0.680419921875}, {"start": 1267.57, "end": 1268.71, "word": " ناقص", "probability": 0.9730224609375}, {"start": 1268.71, "end": 1269.17, "word": " باي", "probability": 0.84521484375}, {"start": 1269.17, "end": 1269.69, "word": " على", "probability": 0.87158203125}, {"start": 1269.69, "end": 1270.55, "word": " اتنين", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 56, "seek": 129781, "start": 1271.85, "end": 1297.81, "text": "إن كامل هي أربعة برا وهي تلاتة على اتنين ثيتا ناقص اتنين في ال sign الزاوية ثيتا زائد sign اتنين ثيتا على أربعة كله من zero لغاية باي على اتنين زائد هدا بيظل باي على اتنين في أربعة اللي هو باتنين باي", "tokens": [28814, 1863, 9122, 10943, 1211, 39896, 5551, 25513, 27884, 4724, 23557, 37037, 1829, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 38637, 36081, 995, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 8978, 2423, 1465, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 30767, 16373, 3215, 1465, 1975, 2655, 1863, 9957, 38637, 36081, 995, 15844, 5551, 25513, 27884, 28242, 3224, 9154, 4018, 5296, 17082, 995, 10632, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 8032, 28259, 4724, 1829, 19913, 1211, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 8978, 5551, 25513, 27884, 13672, 1829, 31439, 4724, 9307, 1863, 9957, 4724, 47302], "avg_logprob": -0.2343749964179901, "compression_ratio": 1.9942196531791907, "no_speech_prob": 0.0, "words": [{"start": 1271.85, "end": 1272.19, "word": "إن", "probability": 0.436004638671875}, {"start": 1272.19, "end": 1272.83, "word": " كامل", "probability": 0.9650065104166666}, {"start": 1272.83, "end": 1273.21, "word": " هي", "probability": 0.49755859375}, {"start": 1273.21, "end": 1273.73, "word": " أربعة", "probability": 0.7864583333333334}, {"start": 1273.73, "end": 1274.31, "word": " برا", "probability": 0.4984130859375}, {"start": 1274.31, "end": 1275.21, "word": " وهي", "probability": 0.744140625}, {"start": 1275.21, "end": 1275.91, "word": " تلاتة", "probability": 0.912353515625}, {"start": 1275.91, "end": 1276.13, "word": " على", "probability": 0.66259765625}, {"start": 1276.13, "end": 1276.77, "word": " اتنين", "probability": 0.9503173828125}, {"start": 1276.77, "end": 1277.59, "word": " ثيتا", "probability": 0.7115071614583334}, {"start": 1277.59, "end": 1278.85, "word": " ناقص", "probability": 0.9078369140625}, {"start": 1278.85, "end": 1279.53, "word": " اتنين", "probability": 0.978759765625}, {"start": 1279.53, "end": 1279.77, "word": " في", "probability": 0.9599609375}, {"start": 1279.77, "end": 1279.91, "word": " ال", "probability": 0.470703125}, {"start": 1279.91, "end": 1280.21, "word": " sign", "probability": 0.2919921875}, {"start": 1280.21, "end": 1280.93, "word": " الزاوية", "probability": 0.88037109375}, {"start": 1280.93, "end": 1281.71, "word": " ثيتا", "probability": 0.7733561197916666}, {"start": 1281.71, "end": 1283.05, "word": " زائد", "probability": 0.9090169270833334}, {"start": 1283.05, "end": 1283.99, "word": " sign", "probability": 0.6201171875}, {"start": 1283.99, "end": 1284.73, "word": " اتنين", "probability": 0.9713134765625}, {"start": 1284.73, "end": 1285.67, "word": " ثيتا", "probability": 0.91943359375}, {"start": 1285.67, "end": 1286.57, "word": " على", "probability": 0.8740234375}, {"start": 1286.57, "end": 1287.55, "word": " أربعة", "probability": 0.8173828125}, {"start": 1287.55, "end": 1288.37, "word": " كله", "probability": 0.911376953125}, {"start": 1288.37, "end": 1288.61, "word": " من", "probability": 0.9951171875}, {"start": 1288.61, "end": 1289.13, "word": " zero", "probability": 0.45068359375}, {"start": 1289.13, "end": 1290.29, "word": " لغاية", "probability": 0.989990234375}, {"start": 1290.29, "end": 1290.67, "word": " باي", "probability": 0.5595703125}, {"start": 1290.67, "end": 1290.99, "word": " على", "probability": 0.869140625}, {"start": 1290.99, "end": 1291.73, "word": " اتنين", "probability": 0.9830322265625}, {"start": 1291.73, "end": 1293.29, "word": " زائد", "probability": 0.97998046875}, {"start": 1293.29, "end": 1294.17, "word": " هدا", "probability": 0.455810546875}, {"start": 1294.17, "end": 1294.57, "word": " بيظل", "probability": 0.75469970703125}, {"start": 1294.57, "end": 1294.79, "word": " باي", "probability": 0.768310546875}, {"start": 1294.79, "end": 1294.93, "word": " على", "probability": 0.67333984375}, {"start": 1294.93, "end": 1295.25, "word": " اتنين", "probability": 0.97998046875}, {"start": 1295.25, "end": 1295.43, "word": " في", "probability": 0.94580078125}, {"start": 1295.43, "end": 1295.79, "word": " أربعة", "probability": 0.86279296875}, {"start": 1295.79, "end": 1295.99, "word": " اللي", "probability": 0.777587890625}, {"start": 1295.99, "end": 1296.19, "word": " هو", "probability": 0.98974609375}, {"start": 1296.19, "end": 1297.39, "word": " باتنين", "probability": 0.7928466796875}, {"start": 1297.39, "end": 1297.81, "word": " باي", "probability": 0.64111328125}], "temperature": 1.0}, {"id": 57, "seek": 132343, "start": 1298.23, "end": 1323.43, "text": "عوض بحدود التكامل واجمع وإليك نتيجة مباشرة يبقى نتيجة التكامل هذه بيصير خمسة by ناقص تمانية يساوي خمسة by ناقص تمانية هذا المطلوب الأول بدنا نروح للمطلوب الثاني اللي هو نمربي", "tokens": [3615, 2407, 11242, 4724, 24401, 23328, 16712, 4117, 10943, 1211, 4032, 26108, 2304, 3615, 4032, 28814, 20292, 4117, 8717, 31371, 7435, 3660, 3714, 3555, 33599, 25720, 7251, 3555, 4587, 7578, 8717, 31371, 7435, 3660, 16712, 4117, 10943, 1211, 29538, 4724, 1829, 9381, 13546, 16490, 2304, 3794, 3660, 538, 8717, 995, 4587, 9381, 46811, 7649, 10632, 7251, 3794, 995, 45865, 16490, 2304, 3794, 3660, 538, 8717, 995, 4587, 9381, 46811, 7649, 10632, 23758, 9673, 9566, 1211, 37746, 16247, 12610, 47525, 8315, 8717, 32887, 5016, 5296, 19528, 9566, 1211, 37746, 6024, 104, 7649, 1829, 13672, 1829, 31439, 8717, 29973, 21292], "avg_logprob": -0.12610479316326104, "compression_ratio": 1.8802395209580838, "no_speech_prob": 0.0, "words": [{"start": 1298.23, "end": 1298.83, "word": "عوض", "probability": 0.90380859375}, {"start": 1298.83, "end": 1299.25, "word": " بحدود", "probability": 0.9454752604166666}, {"start": 1299.25, "end": 1300.05, "word": " التكامل", "probability": 0.9571533203125}, {"start": 1300.05, "end": 1300.71, "word": " واجمع", "probability": 0.7467041015625}, {"start": 1300.71, "end": 1301.93, "word": " وإليك", "probability": 0.9073486328125}, {"start": 1301.93, "end": 1302.95, "word": " نتيجة", "probability": 0.955322265625}, {"start": 1302.95, "end": 1304.37, "word": " مباشرة", "probability": 0.993896484375}, {"start": 1304.37, "end": 1306.19, "word": " يبقى", "probability": 0.932861328125}, {"start": 1306.19, "end": 1306.77, "word": " نتيجة", "probability": 0.98291015625}, {"start": 1306.77, "end": 1307.51, "word": " التكامل", "probability": 0.960693359375}, {"start": 1307.51, "end": 1307.81, "word": " هذه", "probability": 0.5341796875}, {"start": 1307.81, "end": 1308.53, "word": " بيصير", "probability": 0.74346923828125}, {"start": 1308.53, "end": 1309.21, "word": " خمسة", "probability": 0.8966064453125}, {"start": 1309.21, "end": 1309.37, "word": " by", "probability": 0.55078125}, {"start": 1309.37, "end": 1309.89, "word": " ناقص", "probability": 0.974365234375}, {"start": 1309.89, "end": 1310.53, "word": " تمانية", "probability": 0.9578450520833334}, {"start": 1310.53, "end": 1311.97, "word": " يساوي", "probability": 0.91064453125}, {"start": 1311.97, "end": 1313.43, "word": " خمسة", "probability": 0.98779296875}, {"start": 1313.43, "end": 1313.85, "word": " by", "probability": 0.96484375}, {"start": 1313.85, "end": 1315.43, "word": " ناقص", "probability": 0.9940185546875}, {"start": 1315.43, "end": 1316.81, "word": " تمانية", "probability": 0.9864908854166666}, {"start": 1316.81, "end": 1317.93, "word": " هذا", "probability": 0.88916015625}, {"start": 1317.93, "end": 1318.41, "word": " المطلوب", "probability": 0.936767578125}, {"start": 1318.41, "end": 1318.87, "word": " الأول", "probability": 0.983642578125}, {"start": 1318.87, "end": 1319.49, "word": " بدنا", "probability": 0.5791015625}, {"start": 1319.49, "end": 1319.79, "word": " نروح", "probability": 0.9812825520833334}, {"start": 1319.79, "end": 1320.51, "word": " للمطلوب", "probability": 0.89208984375}, {"start": 1320.51, "end": 1321.35, "word": " الثاني", "probability": 0.968017578125}, {"start": 1321.35, "end": 1322.09, "word": " اللي", "probability": 0.809326171875}, {"start": 1322.09, "end": 1322.59, "word": " هو", "probability": 0.98876953125}, {"start": 1322.59, "end": 1323.43, "word": " نمربي", "probability": 0.6471354166666666}], "temperature": 1.0}, {"id": 58, "seek": 136509, "start": 1335.99, "end": 1365.09, "text": "نمرى بيه، بيقول لي ايش؟ بيقول لي بدنا المساحة اللي داخل الدائرة و برا الكاردويد، هاي الكاردويد، تمام؟ اللي برا، يبقى المنطقة هذه، داخل الدائرة و خارج مين؟ خارج الكاردويد، إذا بنفس الطريقة، بيروح أخد نصها و أضربه في اتنين بسبب التماتل، إذا لو جيت لهذه المنطقة المغللة كلها، هذه", "tokens": [1863, 29973, 7578, 4724, 1829, 3224, 12399, 4724, 1829, 39648, 32239, 1975, 1829, 8592, 22807, 4724, 1829, 39648, 32239, 47525, 8315, 9673, 3794, 39319, 3660, 13672, 1829, 11778, 47283, 1211, 32748, 16373, 25720, 4032, 4724, 23557, 33251, 9640, 3215, 2407, 25708, 12399, 8032, 47302, 33251, 9640, 3215, 2407, 25708, 12399, 46811, 10943, 22807, 13672, 1829, 4724, 23557, 12399, 7251, 3555, 4587, 7578, 9673, 1863, 9566, 28671, 29538, 12399, 11778, 47283, 1211, 32748, 16373, 25720, 4032, 16490, 9640, 7435, 3714, 9957, 22807, 16490, 9640, 7435, 33251, 9640, 3215, 2407, 25708, 12399, 11933, 15730, 44945, 36178, 41950, 16572, 28671, 12399, 4724, 1829, 32887, 5016, 5551, 9778, 3215, 8717, 9381, 11296, 4032, 5551, 11242, 25513, 3224, 8978, 1975, 2655, 1863, 9957, 4724, 35457, 3555, 16712, 2304, 9307, 1211, 12399, 11933, 15730, 45164, 10874, 36081, 46740, 24192, 9673, 1863, 9566, 28671, 9673, 17082, 1211, 37977, 28242, 11296, 12399, 29538], "avg_logprob": -0.17069777397260275, "compression_ratio": 2.1495726495726495, "no_speech_prob": 0.0, "words": [{"start": 1335.99, "end": 1336.71, "word": "نمرى", "probability": 0.5102132161458334}, {"start": 1336.71, "end": 1337.57, "word": " بيه،", "probability": 0.616668701171875}, {"start": 1337.57, "end": 1337.99, "word": " بيقول", "probability": 0.9248046875}, {"start": 1337.99, "end": 1338.11, "word": " لي", "probability": 0.61669921875}, {"start": 1338.11, "end": 1338.93, "word": " ايش؟", "probability": 0.742431640625}, {"start": 1338.93, "end": 1339.37, "word": " بيقول", "probability": 0.9754231770833334}, {"start": 1339.37, "end": 1339.61, "word": " لي", "probability": 0.70361328125}, {"start": 1339.61, "end": 1340.31, "word": " بدنا", "probability": 0.821533203125}, {"start": 1340.31, "end": 1341.09, "word": " المساحة", "probability": 0.965087890625}, {"start": 1341.09, "end": 1341.31, "word": " اللي", "probability": 0.84423828125}, {"start": 1341.31, "end": 1341.81, "word": " داخل", "probability": 0.97314453125}, {"start": 1341.81, "end": 1342.31, "word": " الدائرة", "probability": 0.9480794270833334}, {"start": 1342.31, "end": 1342.49, "word": " و", "probability": 0.82861328125}, {"start": 1342.49, "end": 1342.75, "word": " برا", "probability": 0.8701171875}, {"start": 1342.75, "end": 1343.59, "word": " الكاردويد،", "probability": 0.8427734375}, {"start": 1343.59, "end": 1343.79, "word": " هاي", "probability": 0.73291015625}, {"start": 1343.79, "end": 1345.53, "word": " الكاردويد،", "probability": 0.8724772135416666}, {"start": 1345.53, "end": 1346.59, "word": " تمام؟", "probability": 0.9122721354166666}, {"start": 1346.59, "end": 1346.97, "word": " اللي", "probability": 0.990966796875}, {"start": 1346.97, "end": 1347.83, "word": " برا،", "probability": 0.90625}, {"start": 1347.83, "end": 1348.17, "word": " يبقى", "probability": 0.9783935546875}, {"start": 1348.17, "end": 1348.81, "word": " المنطقة", "probability": 0.9849853515625}, {"start": 1348.81, "end": 1349.41, "word": " هذه،", "probability": 0.580810546875}, {"start": 1349.41, "end": 1349.99, "word": " داخل", "probability": 0.8196614583333334}, {"start": 1349.99, "end": 1350.65, "word": " الدائرة", "probability": 0.95654296875}, {"start": 1350.65, "end": 1350.85, "word": " و", "probability": 0.84423828125}, {"start": 1350.85, "end": 1351.27, "word": " خارج", "probability": 0.95654296875}, {"start": 1351.27, "end": 1352.13, "word": " مين؟", "probability": 0.8829752604166666}, {"start": 1352.13, "end": 1352.57, "word": " خارج", "probability": 0.9944661458333334}, {"start": 1352.57, "end": 1353.35, "word": " الكاردويد،", "probability": 0.953369140625}, {"start": 1353.35, "end": 1353.71, "word": " إذا", "probability": 0.724853515625}, {"start": 1353.71, "end": 1354.77, "word": " بنفس", "probability": 0.936767578125}, {"start": 1354.77, "end": 1356.15, "word": " الطريقة،", "probability": 0.85797119140625}, {"start": 1356.15, "end": 1356.51, "word": " بيروح", "probability": 0.68572998046875}, {"start": 1356.51, "end": 1356.95, "word": " أخد", "probability": 0.8175455729166666}, {"start": 1356.95, "end": 1357.55, "word": " نصها", "probability": 0.9464518229166666}, {"start": 1357.55, "end": 1357.73, "word": " و", "probability": 0.92626953125}, {"start": 1357.73, "end": 1358.13, "word": " أضربه", "probability": 0.8341064453125}, {"start": 1358.13, "end": 1358.23, "word": " في", "probability": 0.814453125}, {"start": 1358.23, "end": 1358.55, "word": " اتنين", "probability": 0.9439697265625}, {"start": 1358.55, "end": 1359.27, "word": " بسبب", "probability": 0.9807942708333334}, {"start": 1359.27, "end": 1360.59, "word": " التماتل،", "probability": 0.79326171875}, {"start": 1360.59, "end": 1360.81, "word": " إذا", "probability": 0.96044921875}, {"start": 1360.81, "end": 1361.11, "word": " لو", "probability": 0.98095703125}, {"start": 1361.11, "end": 1361.45, "word": " جيت", "probability": 0.905029296875}, {"start": 1361.45, "end": 1361.83, "word": " لهذه", "probability": 0.92333984375}, {"start": 1361.83, "end": 1362.59, "word": " المنطقة", "probability": 0.9876708984375}, {"start": 1362.59, "end": 1363.63, "word": " المغللة", "probability": 0.91162109375}, {"start": 1363.63, "end": 1364.73, "word": " كلها،", "probability": 0.9490559895833334}, {"start": 1364.73, "end": 1365.09, "word": " هذه", "probability": 0.409423828125}], "temperature": 1.0}, {"id": 59, "seek": 139322, "start": 1377.4, "end": 1393.22, "text": "بنزيله لغاية باية اتنين يبقى بدنا نكامل طيب بدي ارسم خط من نقطة الاصل بحتي يقطع منطقتي التكامل يبقى لو جيت قولت هذا الخط الأزرق الغامق", "tokens": [3555, 1863, 11622, 26895, 3224, 5296, 17082, 995, 10632, 4724, 995, 10632, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 4117, 10943, 1211, 23032, 1829, 3555, 4724, 16254, 1975, 2288, 38251, 16490, 9566, 9154, 8717, 47432, 3660, 2423, 33546, 1211, 4724, 5016, 31371, 7251, 47432, 3615, 9154, 9566, 4587, 31371, 16712, 4117, 10943, 1211, 7251, 3555, 4587, 7578, 45164, 10874, 36081, 12174, 12610, 2655, 23758, 33962, 9566, 16247, 11622, 2288, 4587, 6024, 118, 10943, 4587], "avg_logprob": -0.2290348157852511, "compression_ratio": 1.6875, "no_speech_prob": 0.0, "words": [{"start": 1377.4, "end": 1378.52, "word": "بنزيله", "probability": 0.384765625}, {"start": 1378.52, "end": 1378.86, "word": " لغاية", "probability": 0.938232421875}, {"start": 1378.86, "end": 1379.18, "word": " باية", "probability": 0.5728352864583334}, {"start": 1379.18, "end": 1379.7, "word": " اتنين", "probability": 0.892578125}, {"start": 1379.7, "end": 1380.2, "word": " يبقى", "probability": 0.82855224609375}, {"start": 1380.2, "end": 1380.52, "word": " بدنا", "probability": 0.7086181640625}, {"start": 1380.52, "end": 1381.04, "word": " نكامل", "probability": 0.8941650390625}, {"start": 1381.04, "end": 1381.58, "word": " طيب", "probability": 0.7648111979166666}, {"start": 1381.58, "end": 1382.04, "word": " بدي", "probability": 0.6646728515625}, {"start": 1382.04, "end": 1382.66, "word": " ارسم", "probability": 0.9054361979166666}, {"start": 1382.66, "end": 1383.24, "word": " خط", "probability": 0.976318359375}, {"start": 1383.24, "end": 1383.48, "word": " من", "probability": 0.9853515625}, {"start": 1383.48, "end": 1384.16, "word": " نقطة", "probability": 0.98779296875}, {"start": 1384.16, "end": 1384.86, "word": " الاصل", "probability": 0.86767578125}, {"start": 1384.86, "end": 1385.54, "word": " بحتي", "probability": 0.5591634114583334}, {"start": 1385.54, "end": 1386.12, "word": " يقطع", "probability": 0.9939778645833334}, {"start": 1386.12, "end": 1387.18, "word": " منطقتي", "probability": 0.9471435546875}, {"start": 1387.18, "end": 1388.24, "word": " التكامل", "probability": 0.9801025390625}, {"start": 1388.24, "end": 1389.04, "word": " يبقى", "probability": 0.933349609375}, {"start": 1389.04, "end": 1389.26, "word": " لو", "probability": 0.91015625}, {"start": 1389.26, "end": 1389.62, "word": " جيت", "probability": 0.969970703125}, {"start": 1389.62, "end": 1390.04, "word": " قولت", "probability": 0.6357421875}, {"start": 1390.04, "end": 1390.32, "word": " هذا", "probability": 0.916015625}, {"start": 1390.32, "end": 1391.26, "word": " الخط", "probability": 0.9716796875}, {"start": 1391.26, "end": 1392.3, "word": " الأزرق", "probability": 0.9305419921875}, {"start": 1392.3, "end": 1393.22, "word": " الغامق", "probability": 0.97412109375}], "temperature": 1.0}, {"id": 60, "seek": 142207, "start": 1393.89, "end": 1422.07, "text": "هذا قط الأزرق الغامق يبقى هذه تعتبر ا ر واحد وهذه تعتبر ا ر اتنين وهذه theta تتغير من zero لغاية pi على اتنين يبقى ال area المطلوبة يساوي اتنين في تكامل من zero لغاية pi على اتنين لنص في", "tokens": [3224, 15730, 12174, 9566, 16247, 11622, 2288, 4587, 6024, 118, 10943, 4587, 7251, 3555, 4587, 7578, 29538, 6055, 34268, 26890, 1975, 12602, 36764, 24401, 37037, 24192, 6055, 34268, 26890, 1975, 12602, 1975, 2655, 1863, 9957, 37037, 24192, 9725, 6055, 2655, 17082, 13546, 9154, 4018, 5296, 17082, 995, 10632, 3895, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 2423, 1859, 9673, 9566, 1211, 37746, 3660, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8978, 6055, 4117, 10943, 1211, 9154, 4018, 5296, 17082, 995, 10632, 3895, 15844, 1975, 2655, 1863, 9957, 5296, 1863, 9381, 8978], "avg_logprob": -0.2004934238760095, "compression_ratio": 1.8682634730538923, "no_speech_prob": 0.0, "words": [{"start": 1393.89, "end": 1394.49, "word": "هذا", "probability": 0.62646484375}, {"start": 1394.49, "end": 1396.01, "word": " قط", "probability": 0.6705322265625}, {"start": 1396.01, "end": 1396.67, "word": " الأزرق", "probability": 0.8458251953125}, {"start": 1396.67, "end": 1397.37, "word": " الغامق", "probability": 0.920166015625}, {"start": 1397.37, "end": 1398.31, "word": " يبقى", "probability": 0.8731689453125}, {"start": 1398.31, "end": 1398.61, "word": " هذه", "probability": 0.498046875}, {"start": 1398.61, "end": 1399.37, "word": " تعتبر", "probability": 0.93896484375}, {"start": 1399.37, "end": 1399.63, "word": " ا", "probability": 0.416748046875}, {"start": 1399.63, "end": 1399.77, "word": " ر", "probability": 0.1363525390625}, {"start": 1399.77, "end": 1400.43, "word": " واحد", "probability": 0.966064453125}, {"start": 1400.43, "end": 1400.91, "word": " وهذه", "probability": 0.833251953125}, {"start": 1400.91, "end": 1401.43, "word": " تعتبر", "probability": 0.9378255208333334}, {"start": 1401.43, "end": 1402.13, "word": " ا", "probability": 0.484130859375}, {"start": 1402.13, "end": 1403.03, "word": " ر", "probability": 0.71630859375}, {"start": 1403.03, "end": 1403.69, "word": " اتنين", "probability": 0.962646484375}, {"start": 1403.69, "end": 1404.99, "word": " وهذه", "probability": 0.912353515625}, {"start": 1404.99, "end": 1405.57, "word": " theta", "probability": 0.0875244140625}, {"start": 1405.57, "end": 1406.45, "word": " تتغير", "probability": 0.98291015625}, {"start": 1406.45, "end": 1406.73, "word": " من", "probability": 0.9921875}, {"start": 1406.73, "end": 1407.27, "word": " zero", "probability": 0.2408447265625}, {"start": 1407.27, "end": 1408.15, "word": " لغاية", "probability": 0.9283447265625}, {"start": 1408.15, "end": 1408.55, "word": " pi", "probability": 0.283447265625}, {"start": 1408.55, "end": 1409.01, "word": " على", "probability": 0.473876953125}, {"start": 1409.01, "end": 1409.85, "word": " اتنين", "probability": 0.9691162109375}, {"start": 1409.85, "end": 1410.91, "word": " يبقى", "probability": 0.941650390625}, {"start": 1410.91, "end": 1411.07, "word": " ال", "probability": 0.8603515625}, {"start": 1411.07, "end": 1411.59, "word": " area", "probability": 0.86962890625}, {"start": 1411.59, "end": 1412.81, "word": " المطلوبة", "probability": 0.9654296875}, {"start": 1412.81, "end": 1413.51, "word": " يساوي", "probability": 0.908935546875}, {"start": 1413.51, "end": 1414.43, "word": " اتنين", "probability": 0.9622802734375}, {"start": 1414.43, "end": 1414.71, "word": " في", "probability": 0.95458984375}, {"start": 1414.71, "end": 1415.83, "word": " تكامل", "probability": 0.9818115234375}, {"start": 1415.83, "end": 1416.93, "word": " من", "probability": 0.970703125}, {"start": 1416.93, "end": 1417.61, "word": " zero", "probability": 0.74755859375}, {"start": 1417.61, "end": 1418.39, "word": " لغاية", "probability": 0.9896240234375}, {"start": 1418.39, "end": 1418.91, "word": " pi", "probability": 0.9140625}, {"start": 1418.91, "end": 1419.33, "word": " على", "probability": 0.87646484375}, {"start": 1419.33, "end": 1420.01, "word": " اتنين", "probability": 0.9906005859375}, {"start": 1420.01, "end": 1421.51, "word": " لنص", "probability": 0.88916015625}, {"start": 1421.51, "end": 1422.07, "word": " في", "probability": 0.6826171875}], "temperature": 1.0}, {"id": 61, "seek": 144610, "start": 1423.74, "end": 1446.1, "text": "عارف اتنين تربية ليها مساحة مين؟ دائرة، يبقى هذا اتنين لكل تربية، ناقص، اراحة التربية اللي هو الكاردويد يبقى اتنين ناقص اتنين cos θ لكل تربية وكل هذا بنسبة إلى مين؟ إلى dθ", "tokens": [3615, 9640, 5172, 1975, 2655, 1863, 9957, 6055, 25513, 10632, 32239, 11296, 47524, 39319, 3660, 3714, 9957, 22807, 11778, 16373, 25720, 12399, 7251, 3555, 4587, 7578, 23758, 1975, 2655, 1863, 9957, 5296, 28820, 6055, 25513, 10632, 12399, 8717, 995, 4587, 9381, 12399, 1975, 23557, 5016, 3660, 16712, 25513, 10632, 13672, 1829, 31439, 33251, 9640, 3215, 2407, 25708, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 3792, 12622, 5296, 28820, 6055, 25513, 10632, 4032, 28820, 23758, 44945, 35457, 3660, 30731, 3714, 9957, 22807, 30731, 274, 9440], "avg_logprob": -0.23503989060508443, "compression_ratio": 1.8888888888888888, "no_speech_prob": 0.0, "words": [{"start": 1423.74, "end": 1424.32, "word": "عارف", "probability": 0.51507568359375}, {"start": 1424.32, "end": 1424.7, "word": " اتنين", "probability": 0.830810546875}, {"start": 1424.7, "end": 1425.26, "word": " تربية", "probability": 0.8028971354166666}, {"start": 1425.26, "end": 1425.54, "word": " ليها", "probability": 0.50634765625}, {"start": 1425.54, "end": 1426.0, "word": " مساحة", "probability": 0.9651692708333334}, {"start": 1426.0, "end": 1426.9, "word": " مين؟", "probability": 0.6651204427083334}, {"start": 1426.9, "end": 1428.12, "word": " دائرة،", "probability": 0.82275390625}, {"start": 1428.12, "end": 1428.66, "word": " يبقى", "probability": 0.9532470703125}, {"start": 1428.66, "end": 1429.24, "word": " هذا", "probability": 0.70556640625}, {"start": 1429.24, "end": 1430.76, "word": " اتنين", "probability": 0.9715576171875}, {"start": 1430.76, "end": 1431.34, "word": " لكل", "probability": 0.91650390625}, {"start": 1431.34, "end": 1432.22, "word": " تربية،", "probability": 0.8929443359375}, {"start": 1432.22, "end": 1433.34, "word": " ناقص،", "probability": 0.83876953125}, {"start": 1433.34, "end": 1434.06, "word": " اراحة", "probability": 0.725830078125}, {"start": 1434.06, "end": 1434.52, "word": " التربية", "probability": 0.9677734375}, {"start": 1434.52, "end": 1434.7, "word": " اللي", "probability": 0.795654296875}, {"start": 1434.7, "end": 1434.86, "word": " هو", "probability": 0.7373046875}, {"start": 1434.86, "end": 1435.92, "word": " الكاردويد", "probability": 0.849609375}, {"start": 1435.92, "end": 1437.14, "word": " يبقى", "probability": 0.8758544921875}, {"start": 1437.14, "end": 1437.7, "word": " اتنين", "probability": 0.9237060546875}, {"start": 1437.7, "end": 1438.46, "word": " ناقص", "probability": 0.9254150390625}, {"start": 1438.46, "end": 1439.16, "word": " اتنين", "probability": 0.98876953125}, {"start": 1439.16, "end": 1439.64, "word": " cos", "probability": 0.2406005859375}, {"start": 1439.64, "end": 1440.48, "word": " θ", "probability": 0.60205078125}, {"start": 1440.48, "end": 1441.22, "word": " لكل", "probability": 0.961669921875}, {"start": 1441.22, "end": 1442.0, "word": " تربية", "probability": 0.9786783854166666}, {"start": 1442.0, "end": 1442.94, "word": " وكل", "probability": 0.774658203125}, {"start": 1442.94, "end": 1443.34, "word": " هذا", "probability": 0.89990234375}, {"start": 1443.34, "end": 1443.96, "word": " بنسبة", "probability": 0.7891438802083334}, {"start": 1443.96, "end": 1444.18, "word": " إلى", "probability": 0.47900390625}, {"start": 1444.18, "end": 1444.96, "word": " مين؟", "probability": 0.8527018229166666}, {"start": 1444.96, "end": 1445.22, "word": " إلى", "probability": 0.77099609375}, {"start": 1445.22, "end": 1446.1, "word": " dθ", "probability": 0.64892578125}], "temperature": 1.0}, {"id": 62, "seek": 147434, "start": 1447.06, "end": 1474.34, "text": "هذا بده يساوي ال area ايه تساوي نص مع اتنين الله يسهل عليها بظل تكمل من zero الى πاي على مين باي على اتنين للاربعة ناقص كمان اربعة زائد تمانية كوصين الزاوية ثيتا ناقص اربعة كوصين تربية ثيتا", "tokens": [3224, 15730, 47525, 3224, 7251, 3794, 995, 45865, 2423, 1859, 1975, 1829, 3224, 6055, 3794, 995, 45865, 8717, 9381, 20449, 1975, 2655, 1863, 9957, 21984, 7251, 3794, 3224, 1211, 25894, 11296, 4724, 19913, 1211, 6055, 24793, 1211, 9154, 4018, 2423, 7578, 4654, 47302, 15844, 3714, 9957, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 24976, 9640, 3555, 27884, 8717, 995, 4587, 9381, 9122, 2304, 7649, 1975, 25513, 27884, 30767, 16373, 3215, 46811, 7649, 10632, 9122, 2407, 9381, 9957, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 8717, 995, 4587, 9381, 1975, 25513, 27884, 9122, 2407, 9381, 9957, 6055, 25513, 10632, 38637, 36081, 995], "avg_logprob": -0.22936892943474854, "compression_ratio": 1.9137931034482758, "no_speech_prob": 0.0, "words": [{"start": 1447.06, "end": 1447.52, "word": "هذا", "probability": 0.57769775390625}, {"start": 1447.52, "end": 1447.92, "word": " بده", "probability": 0.361572265625}, {"start": 1447.92, "end": 1448.48, "word": " يساوي", "probability": 0.9613037109375}, {"start": 1448.48, "end": 1448.68, "word": " ال", "probability": 0.70751953125}, {"start": 1448.68, "end": 1449.16, "word": " area", "probability": 0.73388671875}, {"start": 1449.16, "end": 1449.76, "word": " ايه", "probability": 0.8041178385416666}, {"start": 1449.76, "end": 1450.42, "word": " تساوي", "probability": 0.92919921875}, {"start": 1450.42, "end": 1451.3, "word": " نص", "probability": 0.87890625}, {"start": 1451.3, "end": 1451.52, "word": " مع", "probability": 0.876953125}, {"start": 1451.52, "end": 1451.92, "word": " اتنين", "probability": 0.9608154296875}, {"start": 1451.92, "end": 1452.1, "word": " الله", "probability": 0.73974609375}, {"start": 1452.1, "end": 1452.62, "word": " يسهل", "probability": 0.97802734375}, {"start": 1452.62, "end": 1453.2, "word": " عليها", "probability": 0.97802734375}, {"start": 1453.2, "end": 1453.92, "word": " بظل", "probability": 0.5336100260416666}, {"start": 1453.92, "end": 1454.54, "word": " تكمل", "probability": 0.923828125}, {"start": 1454.54, "end": 1454.8, "word": " من", "probability": 0.9931640625}, {"start": 1454.8, "end": 1455.14, "word": " zero", "probability": 0.5205078125}, {"start": 1455.14, "end": 1455.76, "word": " الى", "probability": 0.7423095703125}, {"start": 1455.76, "end": 1456.34, "word": " πاي", "probability": 0.3856201171875}, {"start": 1456.34, "end": 1456.76, "word": " على", "probability": 0.4033203125}, {"start": 1456.76, "end": 1457.38, "word": " مين", "probability": 0.78662109375}, {"start": 1457.38, "end": 1458.36, "word": " باي", "probability": 0.4688720703125}, {"start": 1458.36, "end": 1458.86, "word": " على", "probability": 0.74951171875}, {"start": 1458.86, "end": 1459.88, "word": " اتنين", "probability": 0.9737548828125}, {"start": 1459.88, "end": 1461.76, "word": " للاربعة", "probability": 0.86962890625}, {"start": 1461.76, "end": 1462.88, "word": " ناقص", "probability": 0.97265625}, {"start": 1462.88, "end": 1463.5, "word": " كمان", "probability": 0.9500325520833334}, {"start": 1463.5, "end": 1464.7, "word": " اربعة", "probability": 0.91015625}, {"start": 1464.7, "end": 1465.66, "word": " زائد", "probability": 0.81103515625}, {"start": 1465.66, "end": 1466.62, "word": " تمانية", "probability": 0.9656575520833334}, {"start": 1466.62, "end": 1467.64, "word": " كوصين", "probability": 0.6881103515625}, {"start": 1467.64, "end": 1468.48, "word": " الزاوية", "probability": 0.837109375}, {"start": 1468.48, "end": 1469.42, "word": " ثيتا", "probability": 0.70947265625}, {"start": 1469.42, "end": 1470.84, "word": " ناقص", "probability": 0.990478515625}, {"start": 1470.84, "end": 1471.78, "word": " اربعة", "probability": 0.916015625}, {"start": 1471.78, "end": 1472.62, "word": " كوصين", "probability": 0.9786376953125}, {"start": 1472.62, "end": 1473.44, "word": " تربية", "probability": 0.7660319010416666}, {"start": 1473.44, "end": 1474.34, "word": " ثيتا", "probability": 0.9264322916666666}], "temperature": 1.0}, {"id": 63, "seek": 149518, "start": 1474.62, "end": 1495.18, "text": "كله بالنسبة إلى مين لديه تيتا هذه أربعة وهذه فكرتها ودخلت إشارة السالب جوا يبقى صارت ناقص زائد ناقص طيب الأربعتين هذول مع السلامة يبقى بظل عند مين اللي هو تكامل", "tokens": [28820, 3224, 20666, 1863, 35457, 3660, 30731, 3714, 9957, 5296, 16254, 3224, 6055, 36081, 995, 29538, 5551, 25513, 27884, 37037, 24192, 6156, 4117, 43500, 11296, 4032, 3215, 9778, 1211, 2655, 11933, 8592, 9640, 3660, 21136, 6027, 3555, 10874, 14407, 7251, 3555, 4587, 7578, 20328, 9640, 2655, 8717, 995, 4587, 9381, 30767, 16373, 3215, 8717, 995, 4587, 9381, 23032, 1829, 3555, 16247, 25513, 34268, 9957, 8032, 8848, 12610, 20449, 21136, 37440, 3660, 7251, 3555, 4587, 7578, 4724, 19913, 1211, 43242, 3714, 9957, 13672, 1829, 31439, 6055, 4117, 10943, 1211], "avg_logprob": -0.18890449840031312, "compression_ratio": 1.7159763313609468, "no_speech_prob": 0.0, "words": [{"start": 1474.62, "end": 1475.1, "word": "كله", "probability": 0.634033203125}, {"start": 1475.1, "end": 1475.76, "word": " بالنسبة", "probability": 0.9879150390625}, {"start": 1475.76, "end": 1476.06, "word": " إلى", "probability": 0.53271484375}, {"start": 1476.06, "end": 1476.54, "word": " مين", "probability": 0.717041015625}, {"start": 1476.54, "end": 1477.4, "word": " لديه", "probability": 0.5944010416666666}, {"start": 1477.4, "end": 1477.68, "word": " تيتا", "probability": 0.6162923177083334}, {"start": 1477.68, "end": 1478.06, "word": " هذه", "probability": 0.31591796875}, {"start": 1478.06, "end": 1478.64, "word": " أربعة", "probability": 0.8800455729166666}, {"start": 1478.64, "end": 1479.48, "word": " وهذه", "probability": 0.6357421875}, {"start": 1479.48, "end": 1480.26, "word": " فكرتها", "probability": 0.825439453125}, {"start": 1480.26, "end": 1480.94, "word": " ودخلت", "probability": 0.9697265625}, {"start": 1480.94, "end": 1481.44, "word": " إشارة", "probability": 0.9449462890625}, {"start": 1481.44, "end": 1482.22, "word": " السالب", "probability": 0.8111979166666666}, {"start": 1482.22, "end": 1482.86, "word": " جوا", "probability": 0.73046875}, {"start": 1482.86, "end": 1483.68, "word": " يبقى", "probability": 0.916015625}, {"start": 1483.68, "end": 1484.6, "word": " صارت", "probability": 0.9679361979166666}, {"start": 1484.6, "end": 1486.64, "word": " ناقص", "probability": 0.8953857421875}, {"start": 1486.64, "end": 1487.5, "word": " زائد", "probability": 0.9010416666666666}, {"start": 1487.5, "end": 1488.24, "word": " ناقص", "probability": 0.98876953125}, {"start": 1488.24, "end": 1489.12, "word": " طيب", "probability": 0.8616536458333334}, {"start": 1489.12, "end": 1490.04, "word": " الأربعتين", "probability": 0.9632568359375}, {"start": 1490.04, "end": 1490.48, "word": " هذول", "probability": 0.8079427083333334}, {"start": 1490.48, "end": 1490.74, "word": " مع", "probability": 0.9921875}, {"start": 1490.74, "end": 1491.7, "word": " السلامة", "probability": 0.9620768229166666}, {"start": 1491.7, "end": 1492.6, "word": " يبقى", "probability": 0.9815673828125}, {"start": 1492.6, "end": 1492.96, "word": " بظل", "probability": 0.6280924479166666}, {"start": 1492.96, "end": 1493.2, "word": " عند", "probability": 0.90625}, {"start": 1493.2, "end": 1493.72, "word": " مين", "probability": 0.979736328125}, {"start": 1493.72, "end": 1494.2, "word": " اللي", "probability": 0.71533203125}, {"start": 1494.2, "end": 1494.4, "word": " هو", "probability": 0.98095703125}, {"start": 1494.4, "end": 1495.18, "word": " تكامل", "probability": 0.9635009765625}], "temperature": 1.0}, {"id": 64, "seek": 151069, "start": 1495.39, "end": 1510.69, "text": "من 0 ل π على 2 ل 8 cos θ ناقص 4 cos تربيه هذه بنفس الطريقة هي عبارة عن نصف في مين في واحد", "tokens": [27842, 1958, 5296, 4654, 15844, 568, 5296, 1649, 3792, 12622, 8717, 995, 4587, 9381, 1017, 3792, 6055, 2288, 21292, 3224, 29538, 44945, 36178, 41950, 16572, 28671, 39896, 6225, 3555, 9640, 3660, 18871, 8717, 9381, 5172, 8978, 3714, 9957, 8978, 36764, 24401], "avg_logprob": -0.28292410643327803, "compression_ratio": 1.1900826446280992, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1495.39, "end": 1495.87, "word": "من", "probability": 0.361572265625}, {"start": 1495.87, "end": 1496.35, "word": " 0", "probability": 0.2083740234375}, {"start": 1496.35, "end": 1496.61, "word": " ل", "probability": 0.88134765625}, {"start": 1496.61, "end": 1496.85, "word": " π", "probability": 0.219970703125}, {"start": 1496.85, "end": 1497.23, "word": " على", "probability": 0.1566162109375}, {"start": 1497.23, "end": 1497.87, "word": " 2", "probability": 0.9814453125}, {"start": 1497.87, "end": 1498.61, "word": " ل", "probability": 0.85888671875}, {"start": 1498.61, "end": 1499.39, "word": " 8", "probability": 0.70458984375}, {"start": 1499.39, "end": 1500.13, "word": " cos", "probability": 0.55859375}, {"start": 1500.13, "end": 1501.03, "word": " θ", "probability": 0.767578125}, {"start": 1501.03, "end": 1502.45, "word": " ناقص", "probability": 0.8653564453125}, {"start": 1502.45, "end": 1502.93, "word": " 4", "probability": 0.92822265625}, {"start": 1502.93, "end": 1503.95, "word": " cos", "probability": 0.353759765625}, {"start": 1503.95, "end": 1504.53, "word": " تربيه", "probability": 0.68212890625}, {"start": 1504.53, "end": 1504.85, "word": " هذه", "probability": 0.42431640625}, {"start": 1504.85, "end": 1505.35, "word": " بنفس", "probability": 0.968017578125}, {"start": 1505.35, "end": 1506.17, "word": " الطريقة", "probability": 0.9881184895833334}, {"start": 1506.17, "end": 1506.83, "word": " هي", "probability": 0.71240234375}, {"start": 1506.83, "end": 1507.49, "word": " عبارة", "probability": 0.9766845703125}, {"start": 1507.49, "end": 1507.81, "word": " عن", "probability": 0.99462890625}, {"start": 1507.81, "end": 1508.85, "word": " نصف", "probability": 0.9405924479166666}, {"start": 1508.85, "end": 1509.07, "word": " في", "probability": 0.67138671875}, {"start": 1509.07, "end": 1509.49, "word": " مين", "probability": 0.880615234375}, {"start": 1509.49, "end": 1509.91, "word": " في", "probability": 0.96728515625}, {"start": 1509.91, "end": 1510.69, "word": " واحد", "probability": 0.983154296875}], "temperature": 1.0}, {"id": 65, "seek": 153486, "start": 1510.88, "end": 1534.86, "text": "زاد كوسين اتنين ثيتا كله بالنسبة الى D ثيتا يبقى آلة المثلة تكامل من zero to pi على اتنين لتمانية كوسين ثيتا ناقص اتنين ناقص اتنين كوسين اتنين ثيتا كله بالنسبة الى D ثيتا", "tokens": [11622, 18513, 9122, 41779, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 413, 38637, 36081, 995, 7251, 3555, 4587, 7578, 19753, 37977, 9673, 12984, 37977, 6055, 4117, 10943, 1211, 9154, 4018, 281, 3895, 15844, 1975, 2655, 1863, 9957, 5296, 39237, 7649, 10632, 9122, 41779, 9957, 38637, 36081, 995, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 9122, 41779, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 413, 38637, 36081, 995], "avg_logprob": -0.16652960338090594, "compression_ratio": 2.167883211678832, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1510.88, "end": 1511.64, "word": "زاد", "probability": 0.513671875}, {"start": 1511.64, "end": 1512.62, "word": " كوسين", "probability": 0.5160319010416666}, {"start": 1512.62, "end": 1513.38, "word": " اتنين", "probability": 0.8416748046875}, {"start": 1513.38, "end": 1514.16, "word": " ثيتا", "probability": 0.8152669270833334}, {"start": 1514.16, "end": 1514.98, "word": " كله", "probability": 0.848876953125}, {"start": 1514.98, "end": 1515.76, "word": " بالنسبة", "probability": 0.99267578125}, {"start": 1515.76, "end": 1516.26, "word": " الى", "probability": 0.846435546875}, {"start": 1516.26, "end": 1516.42, "word": " D", "probability": 0.5166015625}, {"start": 1516.42, "end": 1516.94, "word": " ثيتا", "probability": 0.8020833333333334}, {"start": 1516.94, "end": 1517.84, "word": " يبقى", "probability": 0.95849609375}, {"start": 1517.84, "end": 1518.26, "word": " آلة", "probability": 0.881591796875}, {"start": 1518.26, "end": 1518.88, "word": " المثلة", "probability": 0.7342122395833334}, {"start": 1518.88, "end": 1519.66, "word": " تكامل", "probability": 0.9124755859375}, {"start": 1519.66, "end": 1519.84, "word": " من", "probability": 0.9921875}, {"start": 1519.84, "end": 1520.14, "word": " zero", "probability": 0.37158203125}, {"start": 1520.14, "end": 1520.36, "word": " to", "probability": 0.3134765625}, {"start": 1520.36, "end": 1520.58, "word": " pi", "probability": 0.57666015625}, {"start": 1520.58, "end": 1520.86, "word": " على", "probability": 0.52978515625}, {"start": 1520.86, "end": 1521.48, "word": " اتنين", "probability": 0.9404296875}, {"start": 1521.48, "end": 1522.84, "word": " لتمانية", "probability": 0.83782958984375}, {"start": 1522.84, "end": 1523.58, "word": " كوسين", "probability": 0.8727213541666666}, {"start": 1523.58, "end": 1524.56, "word": " ثيتا", "probability": 0.94775390625}, {"start": 1524.56, "end": 1526.02, "word": " ناقص", "probability": 0.9417724609375}, {"start": 1526.02, "end": 1526.98, "word": " اتنين", "probability": 0.989501953125}, {"start": 1526.98, "end": 1528.56, "word": " ناقص", "probability": 0.9337158203125}, {"start": 1528.56, "end": 1529.42, "word": " اتنين", "probability": 0.9908447265625}, {"start": 1529.42, "end": 1530.44, "word": " كوسين", "probability": 0.9192708333333334}, {"start": 1530.44, "end": 1531.16, "word": " اتنين", "probability": 0.9866943359375}, {"start": 1531.16, "end": 1532.1, "word": " ثيتا", "probability": 0.9666341145833334}, {"start": 1532.1, "end": 1532.9, "word": " كله", "probability": 0.964111328125}, {"start": 1532.9, "end": 1533.84, "word": " بالنسبة", "probability": 0.997314453125}, {"start": 1533.84, "end": 1534.24, "word": " الى", "probability": 0.937255859375}, {"start": 1534.24, "end": 1534.42, "word": " D", "probability": 0.9765625}, {"start": 1534.42, "end": 1534.86, "word": " ثيتا", "probability": 0.90185546875}], "temperature": 1.0}, {"id": 66, "seek": 155860, "start": 1536.42, "end": 1558.6, "text": "نص في أربعة باتنين صار سالي باتنين و سالي باتنين cos مش ضايق لإلا كامل يبقى لو كاملنا بصير تمانية sin θ ناقص اتنين ثيتا ناقص sin اتنين ثيتا على اتنين بتروح مع الاتنين و الكلام هذا كله", "tokens": [1863, 9381, 8978, 5551, 25513, 27884, 4724, 9307, 1863, 9957, 20328, 9640, 8608, 6027, 1829, 4724, 9307, 1863, 9957, 4032, 8608, 6027, 1829, 4724, 9307, 1863, 9957, 3792, 37893, 48812, 47302, 4587, 5296, 28814, 15040, 9122, 10943, 1211, 7251, 3555, 4587, 7578, 45164, 9122, 10943, 1211, 8315, 4724, 9381, 13546, 46811, 7649, 10632, 3343, 12622, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 38637, 36081, 995, 8717, 995, 4587, 9381, 3343, 1975, 2655, 1863, 9957, 38637, 36081, 995, 15844, 1975, 2655, 1863, 9957, 39894, 32887, 5016, 20449, 2423, 9307, 1863, 9957, 4032, 2423, 28820, 10943, 23758, 28242, 3224], "avg_logprob": -0.20328283460453303, "compression_ratio": 1.871345029239766, "no_speech_prob": 0.0, "words": [{"start": 1536.42, "end": 1536.92, "word": "نص", "probability": 0.66455078125}, {"start": 1536.92, "end": 1537.1, "word": " في", "probability": 0.68408203125}, {"start": 1537.1, "end": 1537.52, "word": " أربعة", "probability": 0.7696940104166666}, {"start": 1537.52, "end": 1538.04, "word": " باتنين", "probability": 0.8272705078125}, {"start": 1538.04, "end": 1538.4, "word": " صار", "probability": 0.814208984375}, {"start": 1538.4, "end": 1539.02, "word": " سالي", "probability": 0.8639322916666666}, {"start": 1539.02, "end": 1539.68, "word": " باتنين", "probability": 0.8970947265625}, {"start": 1539.68, "end": 1539.82, "word": " و", "probability": 0.56884765625}, {"start": 1539.82, "end": 1540.22, "word": " سالي", "probability": 0.8531901041666666}, {"start": 1540.22, "end": 1540.72, "word": " باتنين", "probability": 0.892578125}, {"start": 1540.72, "end": 1541.2, "word": " cos", "probability": 0.1861572265625}, {"start": 1541.2, "end": 1542.06, "word": " مش", "probability": 0.73974609375}, {"start": 1542.06, "end": 1542.42, "word": " ضايق", "probability": 0.7841796875}, {"start": 1542.42, "end": 1542.74, "word": " لإلا", "probability": 0.5314127604166666}, {"start": 1542.74, "end": 1543.5, "word": " كامل", "probability": 0.9230143229166666}, {"start": 1543.5, "end": 1544.34, "word": " يبقى", "probability": 0.9189453125}, {"start": 1544.34, "end": 1544.56, "word": " لو", "probability": 0.9794921875}, {"start": 1544.56, "end": 1545.24, "word": " كاملنا", "probability": 0.9371337890625}, {"start": 1545.24, "end": 1545.72, "word": " بصير", "probability": 0.8968098958333334}, {"start": 1545.72, "end": 1546.7, "word": " تمانية", "probability": 0.9508463541666666}, {"start": 1546.7, "end": 1547.48, "word": " sin", "probability": 0.463623046875}, {"start": 1547.48, "end": 1548.14, "word": " θ", "probability": 0.31005859375}, {"start": 1548.14, "end": 1549.42, "word": " ناقص", "probability": 0.8525390625}, {"start": 1549.42, "end": 1550.08, "word": " اتنين", "probability": 0.9559326171875}, {"start": 1550.08, "end": 1550.96, "word": " ثيتا", "probability": 0.7272135416666666}, {"start": 1550.96, "end": 1552.3, "word": " ناقص", "probability": 0.9813232421875}, {"start": 1552.3, "end": 1552.88, "word": " sin", "probability": 0.62255859375}, {"start": 1552.88, "end": 1553.58, "word": " اتنين", "probability": 0.921142578125}, {"start": 1553.58, "end": 1554.14, "word": " ثيتا", "probability": 0.8740234375}, {"start": 1554.14, "end": 1554.38, "word": " على", "probability": 0.78369140625}, {"start": 1554.38, "end": 1554.84, "word": " اتنين", "probability": 0.982421875}, {"start": 1554.84, "end": 1555.38, "word": " بتروح", "probability": 0.9309895833333334}, {"start": 1555.38, "end": 1555.62, "word": " مع", "probability": 0.99462890625}, {"start": 1555.62, "end": 1556.46, "word": " الاتنين", "probability": 0.84326171875}, {"start": 1556.46, "end": 1557.02, "word": " و", "probability": 0.451171875}, {"start": 1557.02, "end": 1557.58, "word": " الكلام", "probability": 0.92578125}, {"start": 1557.58, "end": 1557.92, "word": " هذا", "probability": 0.912109375}, {"start": 1557.92, "end": 1558.6, "word": " كله", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 67, "seek": 158325, "start": 1558.77, "end": 1583.25, "text": "من zero لغاية باي على اتنين هو يساوي عند ال باي على اتنين بواحد يبقى بتمانية وهنا ناقص اتنين في باي على اتنين هاي باي على اتنين تمام وهنا ناقص باي على اتنين بصير ال sign باي ب zero و بعدها zero", "tokens": [27842, 4018, 5296, 17082, 995, 10632, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 31439, 7251, 3794, 995, 45865, 43242, 2423, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 4724, 39237, 7649, 10632, 37037, 8315, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 8978, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 8032, 47302, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 46811, 10943, 37037, 8315, 8717, 995, 4587, 9381, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 4724, 9381, 13546, 2423, 1465, 4724, 47302, 4724, 4018, 4032, 39182, 11296, 4018], "avg_logprob": -0.25797871325878385, "compression_ratio": 2.222972972972973, "no_speech_prob": 0.0, "words": [{"start": 1558.77, "end": 1559.37, "word": "من", "probability": 0.2069091796875}, {"start": 1559.37, "end": 1560.01, "word": " zero", "probability": 0.1590576171875}, {"start": 1560.01, "end": 1561.01, "word": " لغاية", "probability": 0.954833984375}, {"start": 1561.01, "end": 1561.33, "word": " باي", "probability": 0.4228515625}, {"start": 1561.33, "end": 1561.59, "word": " على", "probability": 0.8173828125}, {"start": 1561.59, "end": 1562.21, "word": " اتنين", "probability": 0.966064453125}, {"start": 1562.21, "end": 1562.89, "word": " هو", "probability": 0.1319580078125}, {"start": 1562.89, "end": 1563.87, "word": " يساوي", "probability": 0.803955078125}, {"start": 1563.87, "end": 1564.61, "word": " عند", "probability": 0.919921875}, {"start": 1564.61, "end": 1564.77, "word": " ال", "probability": 0.71142578125}, {"start": 1564.77, "end": 1564.95, "word": " باي", "probability": 0.5362548828125}, {"start": 1564.95, "end": 1565.17, "word": " على", "probability": 0.9306640625}, {"start": 1565.17, "end": 1565.63, "word": " اتنين", "probability": 0.984375}, {"start": 1565.63, "end": 1566.25, "word": " بواحد", "probability": 0.93896484375}, {"start": 1566.25, "end": 1566.71, "word": " يبقى", "probability": 0.965087890625}, {"start": 1566.71, "end": 1567.57, "word": " بتمانية", "probability": 0.7913818359375}, {"start": 1567.57, "end": 1568.65, "word": " وهنا", "probability": 0.7364501953125}, {"start": 1568.65, "end": 1569.53, "word": " ناقص", "probability": 0.980712890625}, {"start": 1569.53, "end": 1570.49, "word": " اتنين", "probability": 0.976318359375}, {"start": 1570.49, "end": 1570.95, "word": " في", "probability": 0.356201171875}, {"start": 1570.95, "end": 1571.25, "word": " باي", "probability": 0.891357421875}, {"start": 1571.25, "end": 1571.55, "word": " على", "probability": 0.9541015625}, {"start": 1571.55, "end": 1572.57, "word": " اتنين", "probability": 0.9910888671875}, {"start": 1572.57, "end": 1573.23, "word": " هاي", "probability": 0.545654296875}, {"start": 1573.23, "end": 1573.61, "word": " باي", "probability": 0.915283203125}, {"start": 1573.61, "end": 1573.99, "word": " على", "probability": 0.9501953125}, {"start": 1573.99, "end": 1574.75, "word": " اتنين", "probability": 0.991943359375}, {"start": 1574.75, "end": 1575.77, "word": " تمام", "probability": 0.951171875}, {"start": 1575.77, "end": 1576.73, "word": " وهنا", "probability": 0.743408203125}, {"start": 1576.73, "end": 1577.87, "word": " ناقص", "probability": 0.9967041015625}, {"start": 1577.87, "end": 1578.69, "word": " باي", "probability": 0.863037109375}, {"start": 1578.69, "end": 1578.89, "word": " على", "probability": 0.9443359375}, {"start": 1578.89, "end": 1579.25, "word": " اتنين", "probability": 0.990966796875}, {"start": 1579.25, "end": 1579.55, "word": " بصير", "probability": 0.5499674479166666}, {"start": 1579.55, "end": 1579.67, "word": " ال", "probability": 0.4736328125}, {"start": 1579.67, "end": 1579.97, "word": " sign", "probability": 0.7880859375}, {"start": 1579.97, "end": 1580.49, "word": " باي", "probability": 0.866455078125}, {"start": 1580.49, "end": 1580.67, "word": " ب", "probability": 0.92578125}, {"start": 1580.67, "end": 1581.37, "word": " zero", "probability": 0.2364501953125}, {"start": 1581.37, "end": 1582.07, "word": " و", "probability": 0.6494140625}, {"start": 1582.07, "end": 1582.61, "word": " بعدها", "probability": 0.888427734375}, {"start": 1582.61, "end": 1583.25, "word": " zero", "probability": 0.67236328125}], "temperature": 1.0}, {"id": 68, "seek": 160348, "start": 1585.08, "end": 1603.48, "text": "يبقى كله بـ zero يبقى الجواب يساوي تمانية ناقص باي هذه هي المساحة المطلوبة حاجة أيه اللي يستفسر هنا قبل أن نكمل؟ بس اقرر اللي حددت بي اقرر بي و لا تدبس في بي مالها بي؟", "tokens": [1829, 3555, 4587, 7578, 28242, 3224, 4724, 39184, 4018, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 7251, 3794, 995, 45865, 46811, 7649, 10632, 8717, 995, 4587, 9381, 4724, 47302, 29538, 39896, 9673, 3794, 39319, 3660, 9673, 9566, 1211, 37746, 3660, 11331, 26108, 3660, 36632, 3224, 13672, 1829, 7251, 14851, 36178, 2288, 34105, 12174, 36150, 14739, 8717, 24793, 1211, 22807, 4724, 3794, 1975, 4587, 2288, 2288, 13672, 1829, 11331, 3215, 3215, 2655, 4724, 1829, 1975, 4587, 2288, 2288, 4724, 1829, 4032, 20193, 6055, 3215, 3555, 3794, 8978, 4724, 1829, 3714, 6027, 11296, 4724, 1829, 22807], "avg_logprob": -0.3345394761938798, "compression_ratio": 1.6761363636363635, "no_speech_prob": 0.0, "words": [{"start": 1585.08, "end": 1585.68, "word": "يبقى", "probability": 0.8004150390625}, {"start": 1585.68, "end": 1586.36, "word": " كله", "probability": 0.954833984375}, {"start": 1586.36, "end": 1586.7, "word": " بـ", "probability": 0.4158935546875}, {"start": 1586.7, "end": 1586.88, "word": " zero", "probability": 0.2413330078125}, {"start": 1586.88, "end": 1587.78, "word": " يبقى", "probability": 0.91796875}, {"start": 1587.78, "end": 1588.36, "word": " الجواب", "probability": 0.96240234375}, {"start": 1588.36, "end": 1588.94, "word": " يساوي", "probability": 0.72125244140625}, {"start": 1588.94, "end": 1589.78, "word": " تمانية", "probability": 0.9222005208333334}, {"start": 1589.78, "end": 1590.96, "word": " ناقص", "probability": 0.9677734375}, {"start": 1590.96, "end": 1591.46, "word": " باي", "probability": 0.4891357421875}, {"start": 1591.46, "end": 1592.12, "word": " هذه", "probability": 0.7861328125}, {"start": 1592.12, "end": 1592.38, "word": " هي", "probability": 0.69091796875}, {"start": 1592.38, "end": 1593.42, "word": " المساحة", "probability": 0.9818115234375}, {"start": 1593.42, "end": 1594.7, "word": " المطلوبة", "probability": 0.97568359375}, {"start": 1594.7, "end": 1595.3, "word": " حاجة", "probability": 0.6009114583333334}, {"start": 1595.3, "end": 1595.44, "word": " أيه", "probability": 0.6614990234375}, {"start": 1595.44, "end": 1595.52, "word": " اللي", "probability": 0.8544921875}, {"start": 1595.52, "end": 1596.2, "word": " يستفسر", "probability": 0.8846435546875}, {"start": 1596.2, "end": 1596.5, "word": " هنا", "probability": 0.947265625}, {"start": 1596.5, "end": 1596.86, "word": " قبل", "probability": 0.98095703125}, {"start": 1596.86, "end": 1597.06, "word": " أن", "probability": 0.56494140625}, {"start": 1597.06, "end": 1598.0, "word": " نكمل؟", "probability": 0.85284423828125}, {"start": 1598.0, "end": 1598.32, "word": " بس", "probability": 0.631591796875}, {"start": 1598.32, "end": 1598.6, "word": " اقرر", "probability": 0.547607421875}, {"start": 1598.6, "end": 1598.72, "word": " اللي", "probability": 0.88623046875}, {"start": 1598.72, "end": 1599.28, "word": " حددت", "probability": 0.445037841796875}, {"start": 1599.28, "end": 1599.7, "word": " بي", "probability": 0.852783203125}, {"start": 1599.7, "end": 1600.04, "word": " اقرر", "probability": 0.8316650390625}, {"start": 1600.04, "end": 1600.18, "word": " بي", "probability": 0.789794921875}, {"start": 1600.18, "end": 1600.3, "word": " و", "probability": 0.642578125}, {"start": 1600.3, "end": 1600.38, "word": " لا", "probability": 0.498779296875}, {"start": 1600.38, "end": 1601.0, "word": " تدبس", "probability": 0.561859130859375}, {"start": 1601.0, "end": 1602.14, "word": " في", "probability": 0.720703125}, {"start": 1602.14, "end": 1602.56, "word": " بي", "probability": 0.916259765625}, {"start": 1602.56, "end": 1602.98, "word": " مالها", "probability": 0.6292724609375}, {"start": 1602.98, "end": 1603.48, "word": " بي؟", "probability": 0.9436848958333334}], "temperature": 1.0}, {"id": 69, "seek": 162531, "start": 1605.81, "end": 1625.31, "text": "مش انت هاي المنطقة المظلة هي منطقة التكامل، يعني الأولى هذه انتهينا، يعني هذه هه، كلها انتهينا منها في الحالة الأولى، هذه كلها انتهينا منها، شايف؟ يبقى الخط الأزرق الغامق هذا هه", "tokens": [2304, 8592, 16472, 2655, 8032, 47302, 9673, 1863, 9566, 28671, 9673, 19913, 37977, 39896, 9154, 9566, 28671, 16712, 4117, 10943, 1211, 12399, 37495, 22653, 16247, 12610, 7578, 29538, 16472, 47395, 1829, 8315, 12399, 37495, 22653, 29538, 8032, 3224, 12399, 28242, 11296, 16472, 47395, 1829, 8315, 9154, 11296, 8978, 21542, 6027, 3660, 16247, 12610, 7578, 12399, 29538, 28242, 11296, 16472, 47395, 1829, 8315, 9154, 11296, 12399, 13412, 995, 33911, 22807, 7251, 3555, 4587, 7578, 33962, 9566, 16247, 11622, 2288, 4587, 6024, 118, 10943, 4587, 23758, 8032, 3224], "avg_logprob": -0.18678160988051315, "compression_ratio": 2.0974025974025974, "no_speech_prob": 0.0, "words": [{"start": 1605.81, "end": 1606.25, "word": "مش", "probability": 0.52197265625}, {"start": 1606.25, "end": 1606.59, "word": " انت", "probability": 0.68701171875}, {"start": 1606.59, "end": 1606.93, "word": " هاي", "probability": 0.5596923828125}, {"start": 1606.93, "end": 1607.83, "word": " المنطقة", "probability": 0.9754638671875}, {"start": 1607.83, "end": 1608.73, "word": " المظلة", "probability": 0.8719075520833334}, {"start": 1608.73, "end": 1609.07, "word": " هي", "probability": 0.6533203125}, {"start": 1609.07, "end": 1609.77, "word": " منطقة", "probability": 0.9620768229166666}, {"start": 1609.77, "end": 1610.97, "word": " التكامل،", "probability": 0.8537109375}, {"start": 1610.97, "end": 1611.47, "word": " يعني", "probability": 0.95751953125}, {"start": 1611.47, "end": 1611.99, "word": " الأولى", "probability": 0.9210611979166666}, {"start": 1611.99, "end": 1612.25, "word": " هذه", "probability": 0.21875}, {"start": 1612.25, "end": 1612.83, "word": " انتهينا،", "probability": 0.79384765625}, {"start": 1612.83, "end": 1613.15, "word": " يعني", "probability": 0.947998046875}, {"start": 1613.15, "end": 1613.57, "word": " هذه", "probability": 0.72314453125}, {"start": 1613.57, "end": 1614.41, "word": " هه،", "probability": 0.469482421875}, {"start": 1614.41, "end": 1615.21, "word": " كلها", "probability": 0.985595703125}, {"start": 1615.21, "end": 1615.89, "word": " انتهينا", "probability": 0.970703125}, {"start": 1615.89, "end": 1616.33, "word": " منها", "probability": 0.993896484375}, {"start": 1616.33, "end": 1616.55, "word": " في", "probability": 0.96630859375}, {"start": 1616.55, "end": 1617.23, "word": " الحالة", "probability": 0.97900390625}, {"start": 1617.23, "end": 1617.85, "word": " الأولى،", "probability": 0.96923828125}, {"start": 1617.85, "end": 1618.13, "word": " هذه", "probability": 0.62841796875}, {"start": 1618.13, "end": 1618.91, "word": " كلها", "probability": 0.99609375}, {"start": 1618.91, "end": 1619.47, "word": " انتهينا", "probability": 0.98193359375}, {"start": 1619.47, "end": 1620.47, "word": " منها،", "probability": 0.86181640625}, {"start": 1620.47, "end": 1621.59, "word": " شايف؟", "probability": 0.973388671875}, {"start": 1621.59, "end": 1621.91, "word": " يبقى", "probability": 0.927734375}, {"start": 1621.91, "end": 1622.43, "word": " الخط", "probability": 0.970458984375}, {"start": 1622.43, "end": 1623.43, "word": " الأزرق", "probability": 0.81103515625}, {"start": 1623.43, "end": 1624.27, "word": " الغامق", "probability": 0.9449462890625}, {"start": 1624.27, "end": 1624.69, "word": " هذا", "probability": 0.572265625}, {"start": 1624.69, "end": 1625.31, "word": " هه", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 70, "seek": 165127, "start": 1626.37, "end": 1651.27, "text": "كويس؟ بده يقطع منطقة التكامل عند النقطة الأولى هذه صحيح ولا لا؟ هذه عالميا على ال cardioid صحيح ولا لا؟ يبقى هذه اعتبر R الصغيرة R الكوبرة اللي هو لمن يقطع المنحنة التانية عند النقطة دي اللي هي الدائرة يبقى بقول R اتنين هي معادلة الدائرة وR واحد هي معادلة", "tokens": [4117, 45865, 3794, 22807, 47525, 3224, 7251, 47432, 3615, 9154, 9566, 28671, 16712, 4117, 10943, 1211, 43242, 28239, 47432, 3660, 16247, 12610, 7578, 29538, 20328, 5016, 1829, 5016, 49429, 20193, 22807, 29538, 6225, 45340, 25528, 15844, 2423, 34274, 327, 20328, 5016, 1829, 5016, 49429, 20193, 22807, 7251, 3555, 4587, 7578, 29538, 1975, 34268, 26890, 497, 31767, 17082, 48923, 497, 33251, 37746, 25720, 13672, 1829, 31439, 5296, 27842, 7251, 47432, 3615, 9673, 1863, 5016, 1863, 3660, 16712, 7649, 10632, 43242, 28239, 47432, 3660, 11778, 1829, 13672, 1829, 39896, 32748, 16373, 25720, 7251, 3555, 4587, 7578, 4724, 39648, 497, 1975, 2655, 1863, 9957, 39896, 20449, 18513, 37977, 32748, 16373, 25720, 4032, 49, 36764, 24401, 39896, 20449, 18513, 37977], "avg_logprob": -0.19764956602683434, "compression_ratio": 2.050228310502283, "no_speech_prob": 0.0, "words": [{"start": 1626.37, "end": 1627.29, "word": "كويس؟", "probability": 0.66815185546875}, {"start": 1627.29, "end": 1627.83, "word": " بده", "probability": 0.33544921875}, {"start": 1627.83, "end": 1628.29, "word": " يقطع", "probability": 0.9881184895833334}, {"start": 1628.29, "end": 1628.89, "word": " منطقة", "probability": 0.9793294270833334}, {"start": 1628.89, "end": 1629.71, "word": " التكامل", "probability": 0.85546875}, {"start": 1629.71, "end": 1630.03, "word": " عند", "probability": 0.990234375}, {"start": 1630.03, "end": 1630.61, "word": " النقطة", "probability": 0.9518229166666666}, {"start": 1630.61, "end": 1630.89, "word": " الأولى", "probability": 0.8201497395833334}, {"start": 1630.89, "end": 1631.21, "word": " هذه", "probability": 0.72900390625}, {"start": 1631.21, "end": 1631.67, "word": " صحيح", "probability": 0.88671875}, {"start": 1631.67, "end": 1631.81, "word": " ولا", "probability": 0.91943359375}, {"start": 1631.81, "end": 1632.13, "word": " لا؟", "probability": 0.74169921875}, {"start": 1632.13, "end": 1632.49, "word": " هذه", "probability": 0.89208984375}, {"start": 1632.49, "end": 1633.19, "word": " عالميا", "probability": 0.8279622395833334}, {"start": 1633.19, "end": 1634.37, "word": " على", "probability": 0.833984375}, {"start": 1634.37, "end": 1634.69, "word": " ال", "probability": 0.796875}, {"start": 1634.69, "end": 1635.67, "word": " cardioid", "probability": 0.50482177734375}, {"start": 1635.67, "end": 1636.29, "word": " صحيح", "probability": 0.9708251953125}, {"start": 1636.29, "end": 1636.47, "word": " ولا", "probability": 0.96875}, {"start": 1636.47, "end": 1637.01, "word": " لا؟", "probability": 0.904541015625}, {"start": 1637.01, "end": 1637.31, "word": " يبقى", "probability": 0.9324951171875}, {"start": 1637.31, "end": 1637.53, "word": " هذه", "probability": 0.60791015625}, {"start": 1637.53, "end": 1638.05, "word": " اعتبر", "probability": 0.78466796875}, {"start": 1638.05, "end": 1638.47, "word": " R", "probability": 0.72509765625}, {"start": 1638.47, "end": 1639.25, "word": " الصغيرة", "probability": 0.770263671875}, {"start": 1639.25, "end": 1640.09, "word": " R", "probability": 0.68505859375}, {"start": 1640.09, "end": 1641.13, "word": " الكوبرة", "probability": 0.71533203125}, {"start": 1641.13, "end": 1641.63, "word": " اللي", "probability": 0.815185546875}, {"start": 1641.63, "end": 1641.71, "word": " هو", "probability": 0.6494140625}, {"start": 1641.71, "end": 1641.97, "word": " لمن", "probability": 0.896484375}, {"start": 1641.97, "end": 1642.59, "word": " يقطع", "probability": 0.9944661458333334}, {"start": 1642.59, "end": 1643.33, "word": " المنحنة", "probability": 0.94375}, {"start": 1643.33, "end": 1643.79, "word": " التانية", "probability": 0.9599609375}, {"start": 1643.79, "end": 1643.99, "word": " عند", "probability": 0.94873046875}, {"start": 1643.99, "end": 1644.41, "word": " النقطة", "probability": 0.9830729166666666}, {"start": 1644.41, "end": 1644.63, "word": " دي", "probability": 0.699462890625}, {"start": 1644.63, "end": 1644.73, "word": " اللي", "probability": 0.882080078125}, {"start": 1644.73, "end": 1644.89, "word": " هي", "probability": 0.65283203125}, {"start": 1644.89, "end": 1645.43, "word": " الدائرة", "probability": 0.9661458333333334}, {"start": 1645.43, "end": 1646.29, "word": " يبقى", "probability": 0.9671630859375}, {"start": 1646.29, "end": 1646.75, "word": " بقول", "probability": 0.879150390625}, {"start": 1646.75, "end": 1647.23, "word": " R", "probability": 0.74951171875}, {"start": 1647.23, "end": 1647.99, "word": " اتنين", "probability": 0.83209228515625}, {"start": 1647.99, "end": 1648.27, "word": " هي", "probability": 0.95263671875}, {"start": 1648.27, "end": 1648.87, "word": " معادلة", "probability": 0.9845377604166666}, {"start": 1648.87, "end": 1649.43, "word": " الدائرة", "probability": 0.9899088541666666}, {"start": 1649.43, "end": 1649.83, "word": " وR", "probability": 0.705810546875}, {"start": 1649.83, "end": 1650.27, "word": " واحد", "probability": 0.9814453125}, {"start": 1650.27, "end": 1650.49, "word": " هي", "probability": 0.94873046875}, {"start": 1650.49, "end": 1651.27, "word": " معادلة", "probability": 0.9851888020833334}], "temperature": 1.0}, {"id": 71, "seek": 166072, "start": 1652.32, "end": 1660.72, "text": "هذا كله نقربه في اتنين بيعطينا المساحة المطلوب. حد يلغي استفسار تاني؟", "tokens": [3224, 15730, 28242, 3224, 8717, 4587, 25513, 3224, 8978, 1975, 2655, 1863, 9957, 4724, 1829, 3615, 9566, 1829, 8315, 9673, 3794, 39319, 3660, 9673, 9566, 1211, 37746, 13, 11331, 3215, 7251, 1211, 17082, 1829, 44713, 36178, 9640, 6055, 7649, 1829, 22807], "avg_logprob": -0.25595236959911527, "compression_ratio": 1.2857142857142858, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 1652.32, "end": 1653.28, "word": "هذا", "probability": 0.4688720703125}, {"start": 1653.28, "end": 1653.66, "word": " كله", "probability": 0.726318359375}, {"start": 1653.66, "end": 1654.14, "word": " نقربه", "probability": 0.8292236328125}, {"start": 1654.14, "end": 1654.22, "word": " في", "probability": 0.78271484375}, {"start": 1654.22, "end": 1654.66, "word": " اتنين", "probability": 0.9227294921875}, {"start": 1654.66, "end": 1655.44, "word": " بيعطينا", "probability": 0.7383626302083334}, {"start": 1655.44, "end": 1656.32, "word": " المساحة", "probability": 0.9647216796875}, {"start": 1656.32, "end": 1657.74, "word": " المطلوب.", "probability": 0.9755859375}, {"start": 1657.9, "end": 1658.14, "word": " حد", "probability": 0.6490478515625}, {"start": 1658.14, "end": 1658.44, "word": " يلغي", "probability": 0.6905517578125}, {"start": 1658.44, "end": 1658.96, "word": " استفسار", "probability": 0.9637044270833334}, {"start": 1658.96, "end": 1660.72, "word": " تاني؟", "probability": 0.956787109375}], "temperature": 1.0}, {"id": 72, "seek": 170965, "start": 1682.79, "end": 1709.65, "text": "ننتقل إلى النقطة الثانية من هذا ال section وهي نمر اتنين ال length of a polar curve قول المنحنة في الأحداثيات القطبية definition f", "tokens": [1863, 29399, 4587, 1211, 30731, 28239, 47432, 3660, 6024, 104, 7649, 10632, 9154, 23758, 2423, 3541, 37037, 1829, 8717, 29973, 1975, 2655, 1863, 9957, 2423, 4641, 295, 257, 12367, 7605, 12174, 12610, 9673, 1863, 5016, 1863, 3660, 8978, 16247, 24401, 5718, 104, 1829, 9307, 25062, 9566, 3555, 10632, 7123, 283], "avg_logprob": -0.287071074925217, "compression_ratio": 1.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 1682.79, "end": 1683.49, "word": "ننتقل", "probability": 0.8209228515625}, {"start": 1683.49, "end": 1683.65, "word": " إلى", "probability": 0.339111328125}, {"start": 1683.65, "end": 1684.13, "word": " النقطة", "probability": 0.94091796875}, {"start": 1684.13, "end": 1684.57, "word": " الثانية", "probability": 0.897216796875}, {"start": 1684.57, "end": 1684.79, "word": " من", "probability": 0.92529296875}, {"start": 1684.79, "end": 1685.15, "word": " هذا", "probability": 0.61767578125}, {"start": 1685.15, "end": 1685.33, "word": " ال", "probability": 0.736328125}, {"start": 1685.33, "end": 1685.73, "word": " section", "probability": 0.45263671875}, {"start": 1685.73, "end": 1688.01, "word": " وهي", "probability": 0.81884765625}, {"start": 1688.01, "end": 1688.53, "word": " نمر", "probability": 0.391845703125}, {"start": 1688.53, "end": 1689.39, "word": " اتنين", "probability": 0.82672119140625}, {"start": 1689.39, "end": 1690.59, "word": " ال", "probability": 0.51953125}, {"start": 1690.59, "end": 1691.23, "word": " length", "probability": 0.84130859375}, {"start": 1691.23, "end": 1694.19, "word": " of", "probability": 0.56103515625}, {"start": 1694.19, "end": 1695.87, "word": " a", "probability": 0.97314453125}, {"start": 1695.87, "end": 1696.95, "word": " polar", "probability": 0.84228515625}, {"start": 1696.95, "end": 1700.43, "word": " curve", "probability": 0.8828125}, {"start": 1700.43, "end": 1702.31, "word": " قول", "probability": 0.5677490234375}, {"start": 1702.31, "end": 1703.29, "word": " المنحنة", "probability": 0.80625}, {"start": 1703.29, "end": 1703.41, "word": " في", "probability": 0.9697265625}, {"start": 1703.41, "end": 1704.55, "word": " الأحداثيات", "probability": 0.9205729166666666}, {"start": 1704.55, "end": 1705.85, "word": " القطبية", "probability": 0.9825439453125}, {"start": 1705.85, "end": 1707.37, "word": " definition", "probability": 0.552734375}, {"start": 1707.37, "end": 1709.65, "word": " f", "probability": 0.35302734375}], "temperature": 1.0}, {"id": 73, "seek": 173828, "start": 1711.16, "end": 1738.28, "text": "الـ r تساوي f of theta has a continuous has a continuous first derivative first derivative first derivative for اللي هو theta", "tokens": [6027, 39184, 367, 6055, 3794, 995, 45865, 283, 295, 9725, 575, 257, 10957, 575, 257, 10957, 700, 13760, 700, 13760, 700, 13760, 337, 13672, 1829, 31439, 9725], "avg_logprob": -0.3175223171710968, "compression_ratio": 1.5274725274725274, "no_speech_prob": 0.0, "words": [{"start": 1711.16, "end": 1711.6, "word": "الـ", "probability": 0.579345703125}, {"start": 1711.6, "end": 1711.88, "word": " r", "probability": 0.268310546875}, {"start": 1711.88, "end": 1712.58, "word": " تساوي", "probability": 0.721923828125}, {"start": 1712.58, "end": 1713.08, "word": " f", "probability": 0.479736328125}, {"start": 1713.08, "end": 1713.6, "word": " of", "probability": 0.7119140625}, {"start": 1713.6, "end": 1714.24, "word": " theta", "probability": 0.5078125}, {"start": 1714.24, "end": 1715.3, "word": " has", "probability": 0.6171875}, {"start": 1715.3, "end": 1715.6, "word": " a", "probability": 0.9814453125}, {"start": 1715.6, "end": 1716.6, "word": " continuous", "probability": 0.81982421875}, {"start": 1716.6, "end": 1717.76, "word": " has", "probability": 0.439453125}, {"start": 1717.76, "end": 1719.18, "word": " a", "probability": 0.9814453125}, {"start": 1719.18, "end": 1721.54, "word": " continuous", "probability": 0.8642578125}, {"start": 1721.54, "end": 1723.56, "word": " first", "probability": 0.8916015625}, {"start": 1723.56, "end": 1724.5, "word": " derivative", "probability": 0.94140625}, {"start": 1724.5, "end": 1725.86, "word": " first", "probability": 0.63134765625}, {"start": 1725.86, "end": 1728.46, "word": " derivative", "probability": 0.931640625}, {"start": 1728.46, "end": 1732.22, "word": " first", "probability": 0.62744140625}, {"start": 1732.22, "end": 1732.96, "word": " derivative", "probability": 0.9462890625}, {"start": 1732.96, "end": 1735.02, "word": " for", "probability": 0.91357421875}, {"start": 1735.02, "end": 1737.52, "word": " اللي", "probability": 0.9560546875}, {"start": 1737.52, "end": 1737.74, "word": " هو", "probability": 0.990234375}, {"start": 1737.74, "end": 1738.28, "word": " theta", "probability": 0.323486328125}], "temperature": 1.0}, {"id": 74, "seek": 176277, "start": 1739.17, "end": 1762.77, "text": "أكبر من أو يساوي ألف أو أقل من أو يساوي Beta وإذا كانت النقطة R وثيتا P of R وثيتا it traces the curve", "tokens": [10721, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 5551, 46538, 34051, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 995, 45865, 33286, 4032, 28814, 15730, 25961, 2655, 28239, 47432, 3660, 497, 4032, 12984, 36081, 995, 430, 295, 497, 4032, 12984, 36081, 995, 309, 26076, 264, 7605], "avg_logprob": -0.263297882485897, "compression_ratio": 1.3, "no_speech_prob": 0.0, "words": [{"start": 1739.17, "end": 1739.83, "word": "أكبر", "probability": 0.7562662760416666}, {"start": 1739.83, "end": 1740.09, "word": " من", "probability": 0.91845703125}, {"start": 1740.09, "end": 1740.35, "word": " أو", "probability": 0.9033203125}, {"start": 1740.35, "end": 1741.01, "word": " يساوي", "probability": 0.873779296875}, {"start": 1741.01, "end": 1741.47, "word": " ألف", "probability": 0.6041259765625}, {"start": 1741.47, "end": 1741.67, "word": " أو", "probability": 0.640625}, {"start": 1741.67, "end": 1742.21, "word": " أقل", "probability": 0.9661458333333334}, {"start": 1742.21, "end": 1742.47, "word": " من", "probability": 0.990234375}, {"start": 1742.47, "end": 1742.75, "word": " أو", "probability": 0.9658203125}, {"start": 1742.75, "end": 1743.47, "word": " يساوي", "probability": 0.989013671875}, {"start": 1743.47, "end": 1743.99, "word": " Beta", "probability": 0.419677734375}, {"start": 1743.99, "end": 1747.51, "word": " وإذا", "probability": 0.672607421875}, {"start": 1747.51, "end": 1753.37, "word": " كانت", "probability": 0.95458984375}, {"start": 1753.37, "end": 1753.95, "word": " النقطة", "probability": 0.9581705729166666}, {"start": 1753.95, "end": 1754.35, "word": " R", "probability": 0.316650390625}, {"start": 1754.35, "end": 1755.29, "word": " وثيتا", "probability": 0.70526123046875}, {"start": 1755.29, "end": 1756.29, "word": " P", "probability": 0.8603515625}, {"start": 1756.29, "end": 1757.59, "word": " of", "probability": 0.7587890625}, {"start": 1757.59, "end": 1758.37, "word": " R", "probability": 0.9365234375}, {"start": 1758.37, "end": 1759.53, "word": " وثيتا", "probability": 0.9329833984375}, {"start": 1759.53, "end": 1761.43, "word": " it", "probability": 0.227294921875}, {"start": 1761.43, "end": 1761.89, "word": " traces", "probability": 0.94384765625}, {"start": 1761.89, "end": 1762.23, "word": " the", "probability": 0.896484375}, {"start": 1762.23, "end": 1762.77, "word": " curve", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 75, "seek": 179574, "start": 1768.3, "end": 1795.74, "text": "رسمت لي L منحنى R تساوي F of theta exactly once بالضبط مرة واحدة as theta runs from alpha to beta", "tokens": [2288, 38251, 2655, 32239, 441, 9154, 5016, 1863, 7578, 497, 6055, 3794, 995, 45865, 479, 295, 9725, 2293, 1564, 20666, 11242, 3555, 9566, 3714, 25720, 36764, 24401, 3660, 382, 9725, 6676, 490, 8961, 281, 9861], "avg_logprob": -0.2645399297277133, "compression_ratio": 1.0672268907563025, "no_speech_prob": 0.0, "words": [{"start": 1768.3, "end": 1769.26, "word": "رسمت", "probability": 0.85498046875}, {"start": 1769.26, "end": 1769.52, "word": " لي", "probability": 0.407958984375}, {"start": 1769.52, "end": 1769.98, "word": " L", "probability": 0.1907958984375}, {"start": 1769.98, "end": 1770.84, "word": " منحنى", "probability": 0.8978271484375}, {"start": 1770.84, "end": 1772.0, "word": " R", "probability": 0.69775390625}, {"start": 1772.0, "end": 1772.94, "word": " تساوي", "probability": 0.83984375}, {"start": 1772.94, "end": 1773.92, "word": " F", "probability": 0.441162109375}, {"start": 1773.92, "end": 1774.4, "word": " of", "probability": 0.71826171875}, {"start": 1774.4, "end": 1774.96, "word": " theta", "probability": 0.372802734375}, {"start": 1774.96, "end": 1776.74, "word": " exactly", "probability": 0.7822265625}, {"start": 1776.74, "end": 1780.34, "word": " once", "probability": 0.8193359375}, {"start": 1780.34, "end": 1781.1, "word": " بالضبط", "probability": 0.8502197265625}, {"start": 1781.1, "end": 1781.66, "word": " مرة", "probability": 0.978271484375}, {"start": 1781.66, "end": 1782.92, "word": " واحدة", "probability": 0.9410807291666666}, {"start": 1782.92, "end": 1784.3, "word": " as", "probability": 0.69384765625}, {"start": 1784.3, "end": 1785.16, "word": " theta", "probability": 0.52294921875}, {"start": 1785.16, "end": 1787.84, "word": " runs", "probability": 0.876953125}, {"start": 1787.84, "end": 1790.72, "word": " from", "probability": 0.9130859375}, {"start": 1790.72, "end": 1794.12, "word": " alpha", "probability": 0.68017578125}, {"start": 1794.12, "end": 1795.08, "word": " to", "probability": 0.9853515625}, {"start": 1795.08, "end": 1795.74, "word": " beta", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 76, "seek": 182541, "start": 1797.91, "end": 1825.41, "text": "then the length of the curve طول المنحنة is الو يساوي تكامل من alpha إلى beta للجذر التربيعي للR تربيع زائد DR", "tokens": [19096, 264, 4641, 295, 264, 7605, 23032, 12610, 9673, 1863, 5016, 1863, 3660, 307, 2423, 2407, 7251, 3794, 995, 45865, 6055, 4117, 10943, 1211, 9154, 8961, 30731, 9861, 24976, 7435, 8848, 2288, 16712, 2288, 21292, 3615, 1829, 24976, 49, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 12118], "avg_logprob": -0.2705078112582366, "compression_ratio": 1.2, "no_speech_prob": 0.0, "words": [{"start": 1797.91, "end": 1798.21, "word": "then", "probability": 0.08941650390625}, {"start": 1798.21, "end": 1801.79, "word": " the", "probability": 0.77685546875}, {"start": 1801.79, "end": 1803.69, "word": " length", "probability": 0.7890625}, {"start": 1803.69, "end": 1805.15, "word": " of", "probability": 0.98193359375}, {"start": 1805.15, "end": 1807.23, "word": " the", "probability": 0.85205078125}, {"start": 1807.23, "end": 1807.99, "word": " curve", "probability": 0.94189453125}, {"start": 1807.99, "end": 1809.51, "word": " طول", "probability": 0.77490234375}, {"start": 1809.51, "end": 1811.27, "word": " المنحنة", "probability": 0.8861328125}, {"start": 1811.27, "end": 1811.95, "word": " is", "probability": 0.412109375}, {"start": 1811.95, "end": 1815.17, "word": " الو", "probability": 0.3074951171875}, {"start": 1815.17, "end": 1816.01, "word": " يساوي", "probability": 0.935791015625}, {"start": 1816.01, "end": 1817.15, "word": " تكامل", "probability": 0.968505859375}, {"start": 1817.15, "end": 1817.79, "word": " من", "probability": 0.970703125}, {"start": 1817.79, "end": 1818.35, "word": " alpha", "probability": 0.53271484375}, {"start": 1818.35, "end": 1818.95, "word": " إلى", "probability": 0.83154296875}, {"start": 1818.95, "end": 1819.61, "word": " beta", "probability": 0.87255859375}, {"start": 1819.61, "end": 1820.91, "word": " للجذر", "probability": 0.861083984375}, {"start": 1820.91, "end": 1822.07, "word": " التربيعي", "probability": 0.90673828125}, {"start": 1822.07, "end": 1823.11, "word": " للR", "probability": 0.5797119140625}, {"start": 1823.11, "end": 1824.03, "word": " تربيع", "probability": 0.9132080078125}, {"start": 1824.03, "end": 1824.87, "word": " زائد", "probability": 0.7796223958333334}, {"start": 1824.87, "end": 1825.41, "word": " DR", "probability": 0.462890625}], "temperature": 1.0}, {"id": 77, "seek": 185134, "start": 1826.04, "end": 1851.34, "text": "على d theta لكل تربيع في main في d theta example find the length of the following curves", "tokens": [3615, 23942, 274, 9725, 5296, 28820, 6055, 2288, 21292, 3615, 8978, 2135, 8978, 274, 9725, 1365, 915, 264, 4641, 295, 264, 3480, 19490], "avg_logprob": -0.3349609486758709, "compression_ratio": 1.0957446808510638, "no_speech_prob": 0.0, "words": [{"start": 1826.04, "end": 1826.6, "word": "على", "probability": 0.726318359375}, {"start": 1826.6, "end": 1826.86, "word": " d", "probability": 0.296142578125}, {"start": 1826.86, "end": 1827.38, "word": " theta", "probability": 0.296142578125}, {"start": 1827.38, "end": 1827.94, "word": " لكل", "probability": 0.8095703125}, {"start": 1827.94, "end": 1828.82, "word": " تربيع", "probability": 0.847412109375}, {"start": 1828.82, "end": 1829.38, "word": " في", "probability": 0.8212890625}, {"start": 1829.38, "end": 1829.84, "word": " main", "probability": 0.4345703125}, {"start": 1829.84, "end": 1830.24, "word": " في", "probability": 0.77099609375}, {"start": 1830.24, "end": 1830.68, "word": " d", "probability": 0.8193359375}, {"start": 1830.68, "end": 1831.36, "word": " theta", "probability": 0.77099609375}, {"start": 1831.36, "end": 1833.3, "word": " example", "probability": 0.6064453125}, {"start": 1833.3, "end": 1838.08, "word": " find", "probability": 0.66259765625}, {"start": 1838.08, "end": 1842.1, "word": " the", "probability": 0.8896484375}, {"start": 1842.1, "end": 1844.12, "word": " length", "probability": 0.80029296875}, {"start": 1844.12, "end": 1845.58, "word": " of", "probability": 0.978515625}, {"start": 1845.58, "end": 1847.88, "word": " the", "probability": 0.87548828125}, {"start": 1847.88, "end": 1849.38, "word": " following", "probability": 0.8505859375}, {"start": 1849.38, "end": 1851.34, "word": " curves", "probability": 0.83740234375}], "temperature": 1.0}, {"id": 78, "seek": 187528, "start": 1853.46, "end": 1875.28, "text": "بنطول كل من المنحنيات التالية نمرة a r تساوي cosine تكعيب ل theta على تلاتة و theta تتغير من zero لغاية pi على أربع نمرة b", "tokens": [3555, 1863, 9566, 12610, 28242, 9154, 9673, 1863, 5016, 22653, 9307, 16712, 6027, 10632, 8717, 2304, 25720, 257, 367, 6055, 3794, 995, 45865, 23565, 6055, 4117, 3615, 1829, 3555, 5296, 9725, 15844, 6055, 1211, 9307, 3660, 4032, 9725, 6055, 2655, 17082, 13546, 9154, 4018, 5296, 17082, 995, 10632, 3895, 15844, 5551, 25513, 3615, 8717, 2304, 25720, 272], "avg_logprob": -0.2909482789450678, "compression_ratio": 1.3857142857142857, "no_speech_prob": 0.0, "words": [{"start": 1853.46, "end": 1854.2, "word": "بنطول", "probability": 0.70184326171875}, {"start": 1854.2, "end": 1854.5, "word": " كل", "probability": 0.94482421875}, {"start": 1854.5, "end": 1854.76, "word": " من", "probability": 0.6591796875}, {"start": 1854.76, "end": 1855.9, "word": " المنحنيات", "probability": 0.86220703125}, {"start": 1855.9, "end": 1856.8, "word": " التالية", "probability": 0.98681640625}, {"start": 1856.8, "end": 1858.02, "word": " نمرة", "probability": 0.4650065104166667}, {"start": 1858.02, "end": 1858.58, "word": " a", "probability": 0.56103515625}, {"start": 1858.58, "end": 1859.6, "word": " r", "probability": 0.2130126953125}, {"start": 1859.6, "end": 1860.48, "word": " تساوي", "probability": 0.822265625}, {"start": 1860.48, "end": 1861.62, "word": " cosine", "probability": 0.533203125}, {"start": 1861.62, "end": 1862.92, "word": " تكعيب", "probability": 0.8986328125}, {"start": 1862.92, "end": 1863.52, "word": " ل", "probability": 0.908203125}, {"start": 1863.52, "end": 1864.1, "word": " theta", "probability": 0.25244140625}, {"start": 1864.1, "end": 1864.8, "word": " على", "probability": 0.6748046875}, {"start": 1864.8, "end": 1866.06, "word": " تلاتة", "probability": 0.890380859375}, {"start": 1866.06, "end": 1866.74, "word": " و", "probability": 0.86279296875}, {"start": 1866.74, "end": 1867.26, "word": " theta", "probability": 0.61279296875}, {"start": 1867.26, "end": 1868.52, "word": " تتغير", "probability": 0.9835205078125}, {"start": 1868.52, "end": 1869.52, "word": " من", "probability": 0.994140625}, {"start": 1869.52, "end": 1870.24, "word": " zero", "probability": 0.66552734375}, {"start": 1870.24, "end": 1871.4, "word": " لغاية", "probability": 0.9561767578125}, {"start": 1871.4, "end": 1872.0, "word": " pi", "probability": 0.274658203125}, {"start": 1872.0, "end": 1872.94, "word": " على", "probability": 0.73876953125}, {"start": 1872.94, "end": 1873.56, "word": " أربع", "probability": 0.74365234375}, {"start": 1873.56, "end": 1874.9, "word": " نمرة", "probability": 0.89306640625}, {"start": 1874.9, "end": 1875.28, "word": " b", "probability": 0.76220703125}], "temperature": 1.0}, {"id": 79, "seek": 189280, "start": 1876.08, "end": 1892.8, "text": "ارتو ساوي الجدري التربيعي لواحد زائد صين اتنين ثيتا وثيتا تتغير من zero إلى by الجدري اتنين", "tokens": [9640, 2655, 2407, 8608, 995, 45865, 25724, 3215, 16572, 16712, 2288, 21292, 3615, 1829, 5296, 14407, 24401, 30767, 16373, 3215, 20328, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 4032, 12984, 36081, 995, 6055, 2655, 17082, 13546, 9154, 4018, 30731, 538, 25724, 3215, 16572, 1975, 2655, 1863, 9957], "avg_logprob": -0.2914540719012825, "compression_ratio": 1.4414414414414414, "no_speech_prob": 0.0, "words": [{"start": 1876.08, "end": 1876.86, "word": "ارتو", "probability": 0.5251057942708334}, {"start": 1876.86, "end": 1877.32, "word": " ساوي", "probability": 0.7119140625}, {"start": 1877.32, "end": 1877.96, "word": " الجدري", "probability": 0.6227213541666666}, {"start": 1877.96, "end": 1879.08, "word": " التربيعي", "probability": 0.84453125}, {"start": 1879.08, "end": 1880.52, "word": " لواحد", "probability": 0.709716796875}, {"start": 1880.52, "end": 1881.54, "word": " زائد", "probability": 0.89697265625}, {"start": 1881.54, "end": 1882.14, "word": " صين", "probability": 0.823974609375}, {"start": 1882.14, "end": 1883.24, "word": " اتنين", "probability": 0.966064453125}, {"start": 1883.24, "end": 1884.82, "word": " ثيتا", "probability": 0.8235677083333334}, {"start": 1884.82, "end": 1886.98, "word": " وثيتا", "probability": 0.72760009765625}, {"start": 1886.98, "end": 1888.6, "word": " تتغير", "probability": 0.9814453125}, {"start": 1888.6, "end": 1889.64, "word": " من", "probability": 0.99267578125}, {"start": 1889.64, "end": 1890.72, "word": " zero", "probability": 0.316650390625}, {"start": 1890.72, "end": 1891.46, "word": " إلى", "probability": 0.4189453125}, {"start": 1891.46, "end": 1891.82, "word": " by", "probability": 0.333984375}, {"start": 1891.82, "end": 1892.36, "word": " الجدري", "probability": 0.9226888020833334}, {"start": 1892.36, "end": 1892.8, "word": " اتنين", "probability": 0.9334716796875}], "temperature": 1.0}, {"id": 80, "seek": 194490, "start": 1928.1, "end": 1944.9, "text": "بنجي الآن للنقطة الثانية من هذا ال section وهي إيجاد طول المنحنة في الإحداثيات القطبية طبعا احنا في calculus A أخدنا طول المنحنة في الإحداثيات القارتزية وإذا بتذكروا", "tokens": [3555, 1863, 7435, 1829, 6024, 48506, 24976, 1863, 47432, 3660, 6024, 104, 7649, 10632, 9154, 23758, 2423, 3541, 37037, 1829, 11933, 1829, 7435, 18513, 23032, 12610, 9673, 1863, 5016, 1863, 3660, 8978, 33688, 24401, 5718, 104, 1829, 9307, 25062, 9566, 3555, 10632, 23032, 3555, 3615, 995, 1975, 5016, 8315, 8978, 33400, 316, 5551, 9778, 3215, 8315, 23032, 12610, 9673, 1863, 5016, 1863, 3660, 8978, 33688, 24401, 5718, 104, 1829, 9307, 25062, 9640, 2655, 11622, 10632, 4032, 28814, 15730, 39894, 8848, 37983, 14407], "avg_logprob": -0.20425452202199454, "compression_ratio": 1.7393939393939395, "no_speech_prob": 0.0, "words": [{"start": 1928.1000000000001, "end": 1929.16, "word": "بنجي", "probability": 0.476654052734375}, {"start": 1929.16, "end": 1929.4, "word": " الآن", "probability": 0.55712890625}, {"start": 1929.4, "end": 1929.96, "word": " للنقطة", "probability": 0.82891845703125}, {"start": 1929.96, "end": 1930.4, "word": " الثانية", "probability": 0.9014892578125}, {"start": 1930.4, "end": 1930.58, "word": " من", "probability": 0.84228515625}, {"start": 1930.58, "end": 1930.92, "word": " هذا", "probability": 0.619140625}, {"start": 1930.92, "end": 1930.96, "word": " ال", "probability": 0.5654296875}, {"start": 1930.96, "end": 1931.4, "word": " section", "probability": 0.5712890625}, {"start": 1931.4, "end": 1932.48, "word": " وهي", "probability": 0.745849609375}, {"start": 1932.48, "end": 1933.22, "word": " إيجاد", "probability": 0.8538818359375}, {"start": 1933.22, "end": 1933.62, "word": " طول", "probability": 0.978271484375}, {"start": 1933.62, "end": 1934.32, "word": " المنحنة", "probability": 0.8662109375}, {"start": 1934.32, "end": 1934.44, "word": " في", "probability": 0.96728515625}, {"start": 1934.44, "end": 1935.54, "word": " الإحداثيات", "probability": 0.960693359375}, {"start": 1935.54, "end": 1936.7, "word": " القطبية", "probability": 0.9393310546875}, {"start": 1936.7, "end": 1937.46, "word": " طبعا", "probability": 0.92529296875}, {"start": 1937.46, "end": 1937.64, "word": " احنا", "probability": 0.8953450520833334}, {"start": 1937.64, "end": 1937.86, "word": " في", "probability": 0.94091796875}, {"start": 1937.86, "end": 1938.36, "word": " calculus", "probability": 0.88623046875}, {"start": 1938.36, "end": 1939.1, "word": " A", "probability": 0.4931640625}, {"start": 1939.1, "end": 1940.08, "word": " أخدنا", "probability": 0.872314453125}, {"start": 1940.08, "end": 1940.32, "word": " طول", "probability": 0.99658203125}, {"start": 1940.32, "end": 1941.04, "word": " المنحنة", "probability": 0.99130859375}, {"start": 1941.04, "end": 1941.18, "word": " في", "probability": 0.9833984375}, {"start": 1941.18, "end": 1942.54, "word": " الإحداثيات", "probability": 0.9905598958333334}, {"start": 1942.54, "end": 1943.9, "word": " القارتزية", "probability": 0.694384765625}, {"start": 1943.9, "end": 1944.18, "word": " وإذا", "probability": 0.7552083333333334}, {"start": 1944.18, "end": 1944.9, "word": " بتذكروا", "probability": 0.9512939453125}], "temperature": 1.0}, {"id": 81, "seek": 195926, "start": 1945.18, "end": 1959.26, "text": "كان تكامل من a إلى b الجدرى التربية إلى 1 زائد dy على dx لكل تربية كله تكامل بالنسبة إلى dx ما يكافف الأحداثيات القطبية هو اللي عندنا هذا", "tokens": [41361, 6055, 4117, 10943, 1211, 9154, 257, 30731, 272, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 30731, 502, 30767, 16373, 3215, 14584, 15844, 30017, 5296, 28820, 6055, 25513, 10632, 28242, 3224, 6055, 4117, 10943, 1211, 20666, 1863, 35457, 3660, 30731, 30017, 19446, 7251, 4117, 31845, 5172, 16247, 24401, 5718, 104, 1829, 9307, 25062, 9566, 3555, 10632, 31439, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.22867063681284586, "compression_ratio": 1.5906040268456376, "no_speech_prob": 0.0, "words": [{"start": 1945.18, "end": 1945.54, "word": "كان", "probability": 0.427978515625}, {"start": 1945.54, "end": 1946.28, "word": " تكامل", "probability": 0.9246826171875}, {"start": 1946.28, "end": 1946.5, "word": " من", "probability": 0.916015625}, {"start": 1946.5, "end": 1946.8, "word": " a", "probability": 0.44677734375}, {"start": 1946.8, "end": 1947.04, "word": " إلى", "probability": 0.4638671875}, {"start": 1947.04, "end": 1947.3, "word": " b", "probability": 0.9658203125}, {"start": 1947.3, "end": 1947.82, "word": " الجدرى", "probability": 0.6785888671875}, {"start": 1947.82, "end": 1948.38, "word": " التربية", "probability": 0.7561848958333334}, {"start": 1948.38, "end": 1948.56, "word": " إلى", "probability": 0.9658203125}, {"start": 1948.56, "end": 1948.98, "word": " 1", "probability": 0.66796875}, {"start": 1948.98, "end": 1949.86, "word": " زائد", "probability": 0.6747233072916666}, {"start": 1949.86, "end": 1950.22, "word": " dy", "probability": 0.603515625}, {"start": 1950.22, "end": 1950.58, "word": " على", "probability": 0.8017578125}, {"start": 1950.58, "end": 1951.0, "word": " dx", "probability": 0.978515625}, {"start": 1951.0, "end": 1951.48, "word": " لكل", "probability": 0.8232421875}, {"start": 1951.48, "end": 1951.98, "word": " تربية", "probability": 0.9444986979166666}, {"start": 1951.98, "end": 1952.34, "word": " كله", "probability": 0.84033203125}, {"start": 1952.34, "end": 1952.88, "word": " تكامل", "probability": 0.937744140625}, {"start": 1952.88, "end": 1953.48, "word": " بالنسبة", "probability": 0.931640625}, {"start": 1953.48, "end": 1953.82, "word": " إلى", "probability": 0.83349609375}, {"start": 1953.82, "end": 1954.74, "word": " dx", "probability": 0.884765625}, {"start": 1954.74, "end": 1954.98, "word": " ما", "probability": 0.79296875}, {"start": 1954.98, "end": 1955.58, "word": " يكافف", "probability": 0.7230224609375}, {"start": 1955.58, "end": 1956.4, "word": " الأحداثيات", "probability": 0.8758138020833334}, {"start": 1956.4, "end": 1957.18, "word": " القطبية", "probability": 0.977783203125}, {"start": 1957.18, "end": 1957.92, "word": " هو", "probability": 0.94970703125}, {"start": 1957.92, "end": 1958.62, "word": " اللي", "probability": 0.849853515625}, {"start": 1958.62, "end": 1959.02, "word": " عندنا", "probability": 0.97802734375}, {"start": 1959.02, "end": 1959.26, "word": " هذا", "probability": 0.9267578125}], "temperature": 1.0}, {"id": 82, "seek": 198769, "start": 1961.09, "end": 1987.69, "text": "بقول التعليف كالتالي، لو كان الـR of θ إلها مشتقة أولى وهذه المشتقة متاصلة، طبعا لو ما كان الملحانة ما هواش متاصل يبقى في هذه الحالة، ماجدرش دي بتقول ابتدع ولا حتى ماجدر المساحة اللي موجودة تحتيه ماجدرش أحسبها يبقى first derivative for θ من Alpha إلى Beta and، لاحظة النقطة التانية", "tokens": [3555, 39648, 16712, 3615, 20292, 5172, 9122, 6027, 2655, 6027, 1829, 12399, 45164, 25961, 2423, 39184, 49, 295, 12622, 11933, 1211, 11296, 37893, 2655, 28671, 5551, 12610, 7578, 37037, 24192, 9673, 8592, 2655, 28671, 44650, 33546, 37977, 12399, 23032, 3555, 3615, 995, 45164, 19446, 25961, 9673, 1211, 5016, 7649, 3660, 19446, 31439, 33599, 44650, 33546, 1211, 7251, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 12399, 3714, 26108, 3215, 2288, 8592, 11778, 1829, 39894, 39648, 48127, 2655, 3215, 3615, 49429, 11331, 49975, 3714, 26108, 3215, 2288, 9673, 3794, 39319, 3660, 13672, 1829, 3714, 29245, 23328, 3660, 6055, 33753, 1829, 3224, 3714, 26108, 3215, 2288, 8592, 5551, 5016, 35457, 11296, 7251, 3555, 4587, 7578, 700, 13760, 337, 12622, 9154, 20588, 30731, 33286, 293, 12399, 20193, 5016, 19913, 3660, 28239, 47432, 3660, 16712, 7649, 10632], "avg_logprob": -0.24486940064981802, "compression_ratio": 1.7703703703703704, "no_speech_prob": 0.0, "words": [{"start": 1961.09, "end": 1961.57, "word": "بقول", "probability": 0.5416259765625}, {"start": 1961.57, "end": 1962.15, "word": " التعليف", "probability": 0.9173583984375}, {"start": 1962.15, "end": 1962.77, "word": " كالتالي،", "probability": 0.7620849609375}, {"start": 1962.77, "end": 1962.93, "word": " لو", "probability": 0.703125}, {"start": 1962.93, "end": 1963.21, "word": " كان", "probability": 0.97265625}, {"start": 1963.21, "end": 1963.65, "word": " الـR", "probability": 0.4541015625}, {"start": 1963.65, "end": 1963.93, "word": " of", "probability": 0.54296875}, {"start": 1963.93, "end": 1964.31, "word": " θ", "probability": 0.50634765625}, {"start": 1964.31, "end": 1965.51, "word": " إلها", "probability": 0.6431477864583334}, {"start": 1965.51, "end": 1966.65, "word": " مشتقة", "probability": 0.8932291666666666}, {"start": 1966.65, "end": 1967.21, "word": " أولى", "probability": 0.96826171875}, {"start": 1967.21, "end": 1967.63, "word": " وهذه", "probability": 0.618896484375}, {"start": 1967.63, "end": 1968.45, "word": " المشتقة", "probability": 0.9609375}, {"start": 1968.45, "end": 1970.05, "word": " متاصلة،", "probability": 0.71368408203125}, {"start": 1970.05, "end": 1970.37, "word": " طبعا", "probability": 0.959228515625}, {"start": 1970.37, "end": 1970.53, "word": " لو", "probability": 0.57763671875}, {"start": 1970.53, "end": 1970.67, "word": " ما", "probability": 0.80810546875}, {"start": 1970.67, "end": 1970.89, "word": " كان", "probability": 0.6552734375}, {"start": 1970.89, "end": 1971.53, "word": " الملحانة", "probability": 0.845751953125}, {"start": 1971.53, "end": 1971.65, "word": " ما", "probability": 0.9248046875}, {"start": 1971.65, "end": 1972.05, "word": " هواش", "probability": 0.740966796875}, {"start": 1972.05, "end": 1973.21, "word": " متاصل", "probability": 0.9832356770833334}, {"start": 1973.21, "end": 1974.25, "word": " يبقى", "probability": 0.951904296875}, {"start": 1974.25, "end": 1974.37, "word": " في", "probability": 0.9541015625}, {"start": 1974.37, "end": 1974.69, "word": " هذه", "probability": 0.9169921875}, {"start": 1974.69, "end": 1975.21, "word": " الحالة،", "probability": 0.908447265625}, {"start": 1975.21, "end": 1975.61, "word": " ماجدرش", "probability": 0.71015625}, {"start": 1975.61, "end": 1975.81, "word": " دي", "probability": 0.552490234375}, {"start": 1975.81, "end": 1976.21, "word": " بتقول", "probability": 0.451263427734375}, {"start": 1976.21, "end": 1976.69, "word": " ابتدع", "probability": 0.8338623046875}, {"start": 1976.69, "end": 1977.39, "word": " ولا", "probability": 0.54541015625}, {"start": 1977.39, "end": 1977.77, "word": " حتى", "probability": 0.94580078125}, {"start": 1977.77, "end": 1978.19, "word": " ماجدر", "probability": 0.902587890625}, {"start": 1978.19, "end": 1979.11, "word": " المساحة", "probability": 0.972900390625}, {"start": 1979.11, "end": 1979.63, "word": " اللي", "probability": 0.76806640625}, {"start": 1979.63, "end": 1979.99, "word": " موجودة", "probability": 0.9609375}, {"start": 1979.99, "end": 1980.33, "word": " تحتيه", "probability": 0.73321533203125}, {"start": 1980.33, "end": 1980.73, "word": " ماجدرش", "probability": 0.9125}, {"start": 1980.73, "end": 1981.25, "word": " أحسبها", "probability": 0.8931884765625}, {"start": 1981.25, "end": 1982.59, "word": " يبقى", "probability": 0.9107666015625}, {"start": 1982.59, "end": 1982.99, "word": " first", "probability": 0.6533203125}, {"start": 1982.99, "end": 1983.47, "word": " derivative", "probability": 0.95263671875}, {"start": 1983.47, "end": 1983.95, "word": " for", "probability": 0.794921875}, {"start": 1983.95, "end": 1984.37, "word": " θ", "probability": 0.931640625}, {"start": 1984.37, "end": 1984.63, "word": " من", "probability": 0.9658203125}, {"start": 1984.63, "end": 1984.99, "word": " Alpha", "probability": 0.58984375}, {"start": 1984.99, "end": 1985.25, "word": " إلى", "probability": 0.955078125}, {"start": 1985.25, "end": 1985.59, "word": " Beta", "probability": 0.966796875}, {"start": 1985.59, "end": 1986.29, "word": " and،", "probability": 0.56103515625}, {"start": 1986.29, "end": 1986.71, "word": " لاحظة", "probability": 0.8297119140625}, {"start": 1986.71, "end": 1987.17, "word": " النقطة", "probability": 0.9767252604166666}, {"start": 1987.17, "end": 1987.69, "word": " التانية", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 83, "seek": 201061, "start": 1988.21, "end": 2010.61, "text": "قال لو النقطة هذي P, R و θ ترسي ال curve يعني رسمتلي المنحنة او بيانتلي شكل المنحنة R تساوي F of θ exactly once مرة واحدة as θ runs from alpha to beta لما θ بتتغير من alpha إلى beta", "tokens": [4587, 6027, 45164, 28239, 47432, 3660, 8032, 8848, 1829, 430, 11, 497, 4032, 12622, 6055, 2288, 3794, 1829, 2423, 7605, 37495, 22653, 12602, 38251, 2655, 20292, 9673, 1863, 5016, 1863, 3660, 1975, 2407, 4724, 1829, 7649, 2655, 20292, 13412, 28820, 9673, 1863, 5016, 1863, 3660, 497, 6055, 3794, 995, 45865, 479, 295, 12622, 2293, 1564, 3714, 25720, 36764, 24401, 3660, 382, 12622, 6676, 490, 8961, 281, 9861, 5296, 15042, 12622, 39894, 2655, 17082, 13546, 9154, 8961, 30731, 9861], "avg_logprob": -0.35185916589785227, "compression_ratio": 1.4010416666666667, "no_speech_prob": 0.0, "words": [{"start": 1988.21, "end": 1988.61, "word": "قال", "probability": 0.59442138671875}, {"start": 1988.61, "end": 1988.89, "word": " لو", "probability": 0.34619140625}, {"start": 1988.89, "end": 1989.63, "word": " النقطة", "probability": 0.9505208333333334}, {"start": 1989.63, "end": 1990.03, "word": " هذي", "probability": 0.4751383463541667}, {"start": 1990.03, "end": 1990.27, "word": " P,", "probability": 0.31591796875}, {"start": 1990.35, "end": 1990.55, "word": " R", "probability": 0.599609375}, {"start": 1990.55, "end": 1990.69, "word": " و", "probability": 0.79443359375}, {"start": 1990.69, "end": 1990.85, "word": " θ", "probability": 0.271484375}, {"start": 1990.85, "end": 1991.79, "word": " ترسي", "probability": 0.54022216796875}, {"start": 1991.79, "end": 1992.01, "word": " ال", "probability": 0.3759765625}, {"start": 1992.01, "end": 1992.75, "word": " curve", "probability": 0.0821533203125}, {"start": 1992.75, "end": 1993.23, "word": " يعني", "probability": 0.57275390625}, {"start": 1993.23, "end": 1994.43, "word": " رسمتلي", "probability": 0.7677001953125}, {"start": 1994.43, "end": 1995.43, "word": " المنحنة", "probability": 0.89013671875}, {"start": 1995.43, "end": 1996.07, "word": " او", "probability": 0.82568359375}, {"start": 1996.07, "end": 1996.83, "word": " بيانتلي", "probability": 0.8171875}, {"start": 1996.83, "end": 1997.33, "word": " شكل", "probability": 0.962158203125}, {"start": 1997.33, "end": 1998.07, "word": " المنحنة", "probability": 0.99140625}, {"start": 1998.07, "end": 1998.31, "word": " R", "probability": 0.779296875}, {"start": 1998.31, "end": 1999.01, "word": " تساوي", "probability": 0.80426025390625}, {"start": 1999.01, "end": 1999.45, "word": " F", "probability": 0.88623046875}, {"start": 1999.45, "end": 1999.77, "word": " of", "probability": 0.8037109375}, {"start": 1999.77, "end": 2000.31, "word": " θ", "probability": 0.71923828125}, {"start": 2000.31, "end": 2001.67, "word": " exactly", "probability": 0.61279296875}, {"start": 2001.67, "end": 2002.79, "word": " once", "probability": 0.85205078125}, {"start": 2002.79, "end": 2003.51, "word": " مرة", "probability": 0.94091796875}, {"start": 2003.51, "end": 2004.97, "word": " واحدة", "probability": 0.97412109375}, {"start": 2004.97, "end": 2005.35, "word": " as", "probability": 0.27783203125}, {"start": 2005.35, "end": 2005.77, "word": " θ", "probability": 0.884765625}, {"start": 2005.77, "end": 2006.17, "word": " runs", "probability": 0.91845703125}, {"start": 2006.17, "end": 2006.55, "word": " from", "probability": 0.91796875}, {"start": 2006.55, "end": 2006.97, "word": " alpha", "probability": 0.403076171875}, {"start": 2006.97, "end": 2007.23, "word": " to", "probability": 0.97705078125}, {"start": 2007.23, "end": 2007.55, "word": " beta", "probability": 0.9111328125}, {"start": 2007.55, "end": 2007.93, "word": " لما", "probability": 0.9072265625}, {"start": 2007.93, "end": 2008.31, "word": " θ", "probability": 0.5009765625}, {"start": 2008.31, "end": 2009.03, "word": " بتتغير", "probability": 0.80609130859375}, {"start": 2009.03, "end": 2009.23, "word": " من", "probability": 0.99462890625}, {"start": 2009.23, "end": 2009.79, "word": " alpha", "probability": 0.73193359375}, {"start": 2009.79, "end": 2010.17, "word": " إلى", "probability": 0.8203125}, {"start": 2010.17, "end": 2010.61, "word": " beta", "probability": 0.84814453125}], "temperature": 1.0}, {"id": 84, "seek": 203712, "start": 2011.16, "end": 2037.12, "text": "يعني انا روحت على الفترة من Alpha إلى Beta وجدت ان ارتسم المنحنى مرة واحدة مش مرتين ولا تلاتة، لأن لو اعطيتك فترة يمكن نرسم المنحنى مرة و نص، يمكن مرتين، يمكن تلاتة، الله أعلم، فهو بيقول لي أنا بكون بدي أجيب الطول، يبقى أنا ملتزم في هذه الحالة في فترة مايكونش عندي إلا المنحنى مكرر مرة واحدة", "tokens": [40228, 22653, 1975, 8315, 12602, 2407, 33753, 15844, 27188, 2655, 25720, 9154, 20588, 30731, 33286, 49610, 3215, 2655, 16472, 1975, 43500, 38251, 9673, 1863, 5016, 1863, 7578, 3714, 25720, 36764, 24401, 3660, 37893, 3714, 43500, 9957, 49429, 6055, 1211, 9307, 3660, 12399, 5296, 33456, 45164, 1975, 3615, 9566, 36081, 4117, 6156, 2655, 25720, 7251, 43020, 8717, 2288, 38251, 9673, 1863, 5016, 1863, 7578, 3714, 25720, 4032, 8717, 9381, 12399, 7251, 43020, 3714, 43500, 9957, 12399, 7251, 43020, 6055, 1211, 9307, 3660, 12399, 21984, 5551, 3615, 19528, 12399, 6156, 3224, 2407, 4724, 1829, 39648, 32239, 41850, 4724, 4117, 11536, 4724, 16254, 5551, 7435, 1829, 3555, 41950, 12610, 12399, 7251, 3555, 4587, 7578, 41850, 3714, 1211, 2655, 11622, 2304, 8978, 29538, 21542, 6027, 3660, 8978, 6156, 2655, 25720, 19446, 1829, 30544, 8592, 18871, 16254, 11933, 15040, 9673, 1863, 5016, 1863, 7578, 3714, 37983, 2288, 3714, 25720, 36764, 24401, 3660], "avg_logprob": -0.17799831473746816, "compression_ratio": 2.0, "no_speech_prob": 0.0, "words": [{"start": 2011.16, "end": 2011.56, "word": "يعني", "probability": 0.59375}, {"start": 2011.56, "end": 2011.78, "word": " انا", "probability": 0.6978759765625}, {"start": 2011.78, "end": 2012.08, "word": " روحت", "probability": 0.7838541666666666}, {"start": 2012.08, "end": 2012.28, "word": " على", "probability": 0.8935546875}, {"start": 2012.28, "end": 2012.76, "word": " الفترة", "probability": 0.98046875}, {"start": 2012.76, "end": 2012.94, "word": " من", "probability": 0.96875}, {"start": 2012.94, "end": 2013.26, "word": " Alpha", "probability": 0.50244140625}, {"start": 2013.26, "end": 2013.6, "word": " إلى", "probability": 0.74609375}, {"start": 2013.6, "end": 2013.92, "word": " Beta", "probability": 0.88720703125}, {"start": 2013.92, "end": 2014.42, "word": " وجدت", "probability": 0.7159830729166666}, {"start": 2014.42, "end": 2014.52, "word": " ان", "probability": 0.424072265625}, {"start": 2014.52, "end": 2015.18, "word": " ارتسم", "probability": 0.659423828125}, {"start": 2015.18, "end": 2015.98, "word": " المنحنى", "probability": 0.91513671875}, {"start": 2015.98, "end": 2016.34, "word": " مرة", "probability": 0.981689453125}, {"start": 2016.34, "end": 2016.88, "word": " واحدة", "probability": 0.9777018229166666}, {"start": 2016.88, "end": 2017.06, "word": " مش", "probability": 0.40283203125}, {"start": 2017.06, "end": 2017.64, "word": " مرتين", "probability": 0.9827473958333334}, {"start": 2017.64, "end": 2017.86, "word": " ولا", "probability": 0.64794921875}, {"start": 2017.86, "end": 2018.88, "word": " تلاتة،", "probability": 0.8297607421875}, {"start": 2018.88, "end": 2019.08, "word": " لأن", "probability": 0.685302734375}, {"start": 2019.08, "end": 2019.3, "word": " لو", "probability": 0.767578125}, {"start": 2019.3, "end": 2019.76, "word": " اعطيتك", "probability": 0.8451171875}, {"start": 2019.76, "end": 2020.12, "word": " فترة", "probability": 0.9874674479166666}, {"start": 2020.12, "end": 2020.46, "word": " يمكن", "probability": 0.86376953125}, {"start": 2020.46, "end": 2020.86, "word": " نرسم", "probability": 0.9444986979166666}, {"start": 2020.86, "end": 2021.44, "word": " المنحنى", "probability": 0.99033203125}, {"start": 2021.44, "end": 2021.7, "word": " مرة", "probability": 0.990234375}, {"start": 2021.7, "end": 2021.88, "word": " و", "probability": 0.98681640625}, {"start": 2021.88, "end": 2022.44, "word": " نص،", "probability": 0.8414713541666666}, {"start": 2022.44, "end": 2022.74, "word": " يمكن", "probability": 0.93115234375}, {"start": 2022.74, "end": 2023.52, "word": " مرتين،", "probability": 0.9658203125}, {"start": 2023.52, "end": 2023.78, "word": " يمكن", "probability": 0.968505859375}, {"start": 2023.78, "end": 2024.42, "word": " تلاتة،", "probability": 0.96259765625}, {"start": 2024.42, "end": 2024.6, "word": " الله", "probability": 0.95166015625}, {"start": 2024.6, "end": 2025.42, "word": " أعلم،", "probability": 0.650665283203125}, {"start": 2025.42, "end": 2025.7, "word": " فهو", "probability": 0.9694010416666666}, {"start": 2025.7, "end": 2025.98, "word": " بيقول", "probability": 0.93505859375}, {"start": 2025.98, "end": 2026.12, "word": " لي", "probability": 0.482177734375}, {"start": 2026.12, "end": 2026.3, "word": " أنا", "probability": 0.497802734375}, {"start": 2026.3, "end": 2026.72, "word": " بكون", "probability": 0.5916341145833334}, {"start": 2026.72, "end": 2027.04, "word": " بدي", "probability": 0.750732421875}, {"start": 2027.04, "end": 2027.6, "word": " أجيب", "probability": 0.949462890625}, {"start": 2027.6, "end": 2028.96, "word": " الطول،", "probability": 0.86865234375}, {"start": 2028.96, "end": 2029.38, "word": " يبقى", "probability": 0.958251953125}, {"start": 2029.38, "end": 2029.7, "word": " أنا", "probability": 0.70947265625}, {"start": 2029.7, "end": 2030.34, "word": " ملتزم", "probability": 0.9837890625}, {"start": 2030.34, "end": 2030.5, "word": " في", "probability": 0.98779296875}, {"start": 2030.5, "end": 2030.8, "word": " هذه", "probability": 0.96142578125}, {"start": 2030.8, "end": 2031.44, "word": " الحالة", "probability": 0.9947916666666666}, {"start": 2031.44, "end": 2031.62, "word": " في", "probability": 0.8330078125}, {"start": 2031.62, "end": 2032.18, "word": " فترة", "probability": 0.9951171875}, {"start": 2032.18, "end": 2033.1, "word": " مايكونش", "probability": 0.8431396484375}, {"start": 2033.1, "end": 2033.48, "word": " عندي", "probability": 0.862548828125}, {"start": 2033.48, "end": 2033.92, "word": " إلا", "probability": 0.81884765625}, {"start": 2033.92, "end": 2034.6, "word": " المنحنى", "probability": 0.9927734375}, {"start": 2034.6, "end": 2035.26, "word": " مكرر", "probability": 0.9889322916666666}, {"start": 2035.26, "end": 2035.76, "word": " مرة", "probability": 0.853515625}, {"start": 2035.76, "end": 2037.12, "word": " واحدة", "probability": 0.9908854166666666}], "temperature": 1.0}, {"id": 85, "seek": 206680, "start": 2037.84, "end": 2066.8, "text": "طيب مافيش تكرار يعني بالمرة بالنسبة للمنحنة يبقى هنا باجي بقول إذا النقطة دي traces دكيرة رسمت للمنحنة R تساوي F of θ بضبط مرة واحدة لما كت تتغير من Alpha إلى Beta يبقى طول المنحنة على هذه الفترة هو تكامل من Alpha إلى Beta لR تربية زائد DR على Dθ الكل تربية Dθ", "tokens": [9566, 1829, 3555, 19446, 41185, 8592, 6055, 37983, 9640, 37495, 22653, 20666, 2304, 25720, 20666, 1863, 35457, 3660, 5296, 19528, 1863, 5016, 1863, 3660, 7251, 3555, 4587, 7578, 34105, 4724, 26108, 1829, 4724, 39648, 11933, 15730, 28239, 47432, 3660, 11778, 1829, 26076, 11778, 4117, 48923, 12602, 38251, 2655, 5296, 19528, 1863, 5016, 1863, 3660, 497, 6055, 3794, 995, 45865, 479, 295, 12622, 4724, 11242, 3555, 9566, 3714, 25720, 36764, 24401, 3660, 5296, 15042, 9122, 2655, 6055, 2655, 17082, 13546, 9154, 20588, 30731, 33286, 7251, 3555, 4587, 7578, 23032, 12610, 9673, 1863, 5016, 1863, 3660, 15844, 29538, 27188, 2655, 25720, 31439, 6055, 4117, 10943, 1211, 9154, 20588, 30731, 33286, 5296, 49, 6055, 25513, 10632, 30767, 16373, 3215, 12118, 15844, 413, 9440, 2423, 28820, 6055, 25513, 10632, 413, 9440], "avg_logprob": -0.2115478467894718, "compression_ratio": 1.7429718875502007, "no_speech_prob": 0.0, "words": [{"start": 2037.84, "end": 2038.18, "word": "طيب", "probability": 0.5813191731770834}, {"start": 2038.18, "end": 2038.56, "word": " مافيش", "probability": 0.9290364583333334}, {"start": 2038.56, "end": 2039.12, "word": " تكرار", "probability": 0.8885091145833334}, {"start": 2039.12, "end": 2039.44, "word": " يعني", "probability": 0.686279296875}, {"start": 2039.44, "end": 2040.2, "word": " بالمرة", "probability": 0.9108072916666666}, {"start": 2040.2, "end": 2040.86, "word": " بالنسبة", "probability": 0.9688720703125}, {"start": 2040.86, "end": 2041.68, "word": " للمنحنة", "probability": 0.9078776041666666}, {"start": 2041.68, "end": 2042.58, "word": " يبقى", "probability": 0.9461669921875}, {"start": 2042.58, "end": 2042.94, "word": " هنا", "probability": 0.9814453125}, {"start": 2042.94, "end": 2043.32, "word": " باجي", "probability": 0.7518717447916666}, {"start": 2043.32, "end": 2043.52, "word": " بقول", "probability": 0.913818359375}, {"start": 2043.52, "end": 2043.76, "word": " إذا", "probability": 0.7125244140625}, {"start": 2043.76, "end": 2044.38, "word": " النقطة", "probability": 0.9500325520833334}, {"start": 2044.38, "end": 2044.56, "word": " دي", "probability": 0.93798828125}, {"start": 2044.56, "end": 2045.26, "word": " traces", "probability": 0.64453125}, {"start": 2045.26, "end": 2046.24, "word": " دكيرة", "probability": 0.4967447916666667}, {"start": 2046.24, "end": 2047.34, "word": " رسمت", "probability": 0.9820963541666666}, {"start": 2047.34, "end": 2048.62, "word": " للمنحنة", "probability": 0.9065348307291666}, {"start": 2048.62, "end": 2049.2, "word": " R", "probability": 0.486328125}, {"start": 2049.2, "end": 2049.88, "word": " تساوي", "probability": 0.778076171875}, {"start": 2049.88, "end": 2050.16, "word": " F", "probability": 0.91357421875}, {"start": 2050.16, "end": 2050.4, "word": " of", "probability": 0.79833984375}, {"start": 2050.4, "end": 2050.76, "word": " θ", "probability": 0.33544921875}, {"start": 2050.76, "end": 2052.12, "word": " بضبط", "probability": 0.60211181640625}, {"start": 2052.12, "end": 2052.78, "word": " مرة", "probability": 0.96142578125}, {"start": 2052.78, "end": 2053.42, "word": " واحدة", "probability": 0.9822591145833334}, {"start": 2053.42, "end": 2053.72, "word": " لما", "probability": 0.916259765625}, {"start": 2053.72, "end": 2054.04, "word": " كت", "probability": 0.5218505859375}, {"start": 2054.04, "end": 2054.7, "word": " تتغير", "probability": 0.9482421875}, {"start": 2054.7, "end": 2054.9, "word": " من", "probability": 0.9931640625}, {"start": 2054.9, "end": 2055.22, "word": " Alpha", "probability": 0.5830078125}, {"start": 2055.22, "end": 2055.48, "word": " إلى", "probability": 0.88525390625}, {"start": 2055.48, "end": 2055.96, "word": " Beta", "probability": 0.96142578125}, {"start": 2055.96, "end": 2056.76, "word": " يبقى", "probability": 0.9808349609375}, {"start": 2056.76, "end": 2057.12, "word": " طول", "probability": 0.809326171875}, {"start": 2057.12, "end": 2057.9, "word": " المنحنة", "probability": 0.9908203125}, {"start": 2057.9, "end": 2058.14, "word": " على", "probability": 0.92578125}, {"start": 2058.14, "end": 2058.58, "word": " هذه", "probability": 0.9775390625}, {"start": 2058.58, "end": 2059.1, "word": " الفترة", "probability": 0.9931640625}, {"start": 2059.1, "end": 2059.34, "word": " هو", "probability": 0.82275390625}, {"start": 2059.34, "end": 2059.96, "word": " تكامل", "probability": 0.955322265625}, {"start": 2059.96, "end": 2060.14, "word": " من", "probability": 0.9892578125}, {"start": 2060.14, "end": 2060.46, "word": " Alpha", "probability": 0.97509765625}, {"start": 2060.46, "end": 2060.68, "word": " إلى", "probability": 0.98388671875}, {"start": 2060.68, "end": 2061.14, "word": " Beta", "probability": 0.95458984375}, {"start": 2061.14, "end": 2062.2, "word": " لR", "probability": 0.79931640625}, {"start": 2062.2, "end": 2062.66, "word": " تربية", "probability": 0.7548828125}, {"start": 2062.66, "end": 2063.32, "word": " زائد", "probability": 0.9044596354166666}, {"start": 2063.32, "end": 2063.88, "word": " DR", "probability": 0.349853515625}, {"start": 2063.88, "end": 2064.2, "word": " على", "probability": 0.84521484375}, {"start": 2064.2, "end": 2064.68, "word": " Dθ", "probability": 0.72802734375}, {"start": 2064.68, "end": 2065.16, "word": " الكل", "probability": 0.6383056640625}, {"start": 2065.16, "end": 2066.0, "word": " تربية", "probability": 0.9597981770833334}, {"start": 2066.0, "end": 2066.8, "word": " Dθ", "probability": 0.78076171875}], "temperature": 1.0}, {"id": 86, "seek": 208990, "start": 2067.76, "end": 2089.9, "text": "مشان نقوم بعملية التكمل، بدنا نربع معادلة المنحنة ونربع مشتقة اللي هو معادلة المنحنة، هنجي ل solution ونروح ناخد نمرة A، بالنسبة لنمرة A، تربيعه سهل، يبقى المشكلة في اشتقاقه، بدنا نروح نشتقه", "tokens": [2304, 8592, 7649, 8717, 4587, 20498, 4724, 25957, 1211, 10632, 16712, 24793, 1211, 12399, 47525, 8315, 8717, 25513, 3615, 20449, 18513, 37977, 9673, 1863, 5016, 1863, 3660, 4032, 1863, 25513, 3615, 37893, 2655, 28671, 13672, 1829, 31439, 20449, 18513, 37977, 9673, 1863, 5016, 1863, 3660, 12399, 8032, 1863, 7435, 1829, 5296, 3827, 4032, 1863, 32887, 5016, 8717, 47283, 3215, 8717, 2304, 25720, 316, 12399, 20666, 1863, 35457, 3660, 5296, 1863, 2304, 25720, 316, 12399, 6055, 2288, 21292, 3615, 3224, 8608, 3224, 1211, 12399, 7251, 3555, 4587, 7578, 9673, 8592, 28820, 3660, 8978, 1975, 8592, 2655, 4587, 995, 4587, 3224, 12399, 47525, 8315, 8717, 32887, 5016, 8717, 8592, 2655, 4587, 3224], "avg_logprob": -0.19369370094290725, "compression_ratio": 1.8369565217391304, "no_speech_prob": 0.0, "words": [{"start": 2067.76, "end": 2068.24, "word": "مشان", "probability": 0.5939127604166666}, {"start": 2068.24, "end": 2068.6, "word": " نقوم", "probability": 0.9558919270833334}, {"start": 2068.6, "end": 2069.2, "word": " بعملية", "probability": 0.9267578125}, {"start": 2069.2, "end": 2069.84, "word": " التكمل،", "probability": 0.6727294921875}, {"start": 2069.84, "end": 2070.18, "word": " بدنا", "probability": 0.846435546875}, {"start": 2070.18, "end": 2070.62, "word": " نربع", "probability": 0.77197265625}, {"start": 2070.62, "end": 2071.3, "word": " معادلة", "probability": 0.9591471354166666}, {"start": 2071.3, "end": 2072.18, "word": " المنحنة", "probability": 0.8837890625}, {"start": 2072.18, "end": 2073.28, "word": " ونربع", "probability": 0.67144775390625}, {"start": 2073.28, "end": 2074.42, "word": " مشتقة", "probability": 0.8175455729166666}, {"start": 2074.42, "end": 2075.02, "word": " اللي", "probability": 0.72119140625}, {"start": 2075.02, "end": 2075.2, "word": " هو", "probability": 0.8662109375}, {"start": 2075.2, "end": 2076.0, "word": " معادلة", "probability": 0.97998046875}, {"start": 2076.0, "end": 2077.0, "word": " المنحنة،", "probability": 0.8875325520833334}, {"start": 2077.0, "end": 2077.68, "word": " هنجي", "probability": 0.7772216796875}, {"start": 2077.68, "end": 2077.78, "word": " ل", "probability": 0.82177734375}, {"start": 2077.78, "end": 2078.54, "word": " solution", "probability": 0.9521484375}, {"start": 2078.54, "end": 2081.88, "word": " ونروح", "probability": 0.851318359375}, {"start": 2081.88, "end": 2082.38, "word": " ناخد", "probability": 0.9786783854166666}, {"start": 2082.38, "end": 2082.96, "word": " نمرة", "probability": 0.79296875}, {"start": 2082.96, "end": 2084.34, "word": " A،", "probability": 0.527587890625}, {"start": 2084.34, "end": 2084.96, "word": " بالنسبة", "probability": 0.9713134765625}, {"start": 2084.96, "end": 2085.36, "word": " لنمرة", "probability": 0.860595703125}, {"start": 2085.36, "end": 2085.56, "word": " A،", "probability": 0.6031494140625}, {"start": 2085.56, "end": 2086.14, "word": " تربيعه", "probability": 0.76181640625}, {"start": 2086.14, "end": 2086.76, "word": " سهل،", "probability": 0.92431640625}, {"start": 2086.76, "end": 2087.0, "word": " يبقى", "probability": 0.9730224609375}, {"start": 2087.0, "end": 2087.52, "word": " المشكلة", "probability": 0.99560546875}, {"start": 2087.52, "end": 2087.74, "word": " في", "probability": 0.423828125}, {"start": 2087.74, "end": 2088.7, "word": " اشتقاقه،", "probability": 0.8924560546875}, {"start": 2088.7, "end": 2088.98, "word": " بدنا", "probability": 0.88525390625}, {"start": 2088.98, "end": 2089.24, "word": " نروح", "probability": 0.9925130208333334}, {"start": 2089.24, "end": 2089.9, "word": " نشتقه", "probability": 0.94501953125}], "temperature": 1.0}, {"id": 87, "seek": 211378, "start": 2090.2, "end": 2113.78, "text": "يبقى باجي بقوله DR على D ثيتا يساوي تلاتة cosine تربيع ثيتا على تلاتة فاهمين؟ في تفاضل ال cosine اللي هو سالب sin ثيتا على تلاتة ضرب مشتقة الزاوية اللي هي قداش اللي هو تلت", "tokens": [1829, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 12118, 15844, 413, 38637, 36081, 995, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 23565, 6055, 2288, 21292, 3615, 38637, 36081, 995, 15844, 6055, 1211, 9307, 3660, 6156, 995, 16095, 9957, 22807, 8978, 6055, 5172, 46958, 1211, 2423, 23565, 13672, 1829, 31439, 8608, 6027, 3555, 3343, 38637, 36081, 995, 15844, 6055, 1211, 9307, 3660, 48812, 25513, 37893, 2655, 28671, 6024, 110, 995, 2407, 10632, 13672, 1829, 39896, 12174, 3215, 33599, 13672, 1829, 31439, 6055, 1211, 2655], "avg_logprob": -0.17968750650855317, "compression_ratio": 1.7575757575757576, "no_speech_prob": 0.0, "words": [{"start": 2090.2, "end": 2090.68, "word": "يبقى", "probability": 0.9139404296875}, {"start": 2090.68, "end": 2091.1, "word": " باجي", "probability": 0.84619140625}, {"start": 2091.1, "end": 2091.82, "word": " بقوله", "probability": 0.8810221354166666}, {"start": 2091.82, "end": 2092.62, "word": " DR", "probability": 0.61572265625}, {"start": 2092.62, "end": 2093.54, "word": " على", "probability": 0.59814453125}, {"start": 2093.54, "end": 2093.88, "word": " D", "probability": 0.8779296875}, {"start": 2093.88, "end": 2094.46, "word": " ثيتا", "probability": 0.6780598958333334}, {"start": 2094.46, "end": 2095.18, "word": " يساوي", "probability": 0.9517822265625}, {"start": 2095.18, "end": 2096.62, "word": " تلاتة", "probability": 0.8983154296875}, {"start": 2096.62, "end": 2097.78, "word": " cosine", "probability": 0.402099609375}, {"start": 2097.78, "end": 2098.94, "word": " تربيع", "probability": 0.9141845703125}, {"start": 2098.94, "end": 2099.78, "word": " ثيتا", "probability": 0.8338216145833334}, {"start": 2099.78, "end": 2100.14, "word": " على", "probability": 0.86328125}, {"start": 2100.14, "end": 2101.24, "word": " تلاتة", "probability": 0.9683837890625}, {"start": 2101.24, "end": 2102.88, "word": " فاهمين؟", "probability": 0.775732421875}, {"start": 2102.88, "end": 2103.26, "word": " في", "probability": 0.44873046875}, {"start": 2103.26, "end": 2103.88, "word": " تفاضل", "probability": 0.956787109375}, {"start": 2103.88, "end": 2103.98, "word": " ال", "probability": 0.65869140625}, {"start": 2103.98, "end": 2104.4, "word": " cosine", "probability": 0.8310546875}, {"start": 2104.4, "end": 2104.64, "word": " اللي", "probability": 0.900146484375}, {"start": 2104.64, "end": 2104.82, "word": " هو", "probability": 0.9873046875}, {"start": 2104.82, "end": 2105.74, "word": " سالب", "probability": 0.7711588541666666}, {"start": 2105.74, "end": 2106.5, "word": " sin", "probability": 0.1650390625}, {"start": 2106.5, "end": 2107.84, "word": " ثيتا", "probability": 0.8704427083333334}, {"start": 2107.84, "end": 2108.42, "word": " على", "probability": 0.93994140625}, {"start": 2108.42, "end": 2109.56, "word": " تلاتة", "probability": 0.9803466796875}, {"start": 2109.56, "end": 2110.16, "word": " ضرب", "probability": 0.977783203125}, {"start": 2110.16, "end": 2110.86, "word": " مشتقة", "probability": 0.9430338541666666}, {"start": 2110.86, "end": 2111.44, "word": " الزاوية", "probability": 0.89453125}, {"start": 2111.44, "end": 2111.54, "word": " اللي", "probability": 0.921630859375}, {"start": 2111.54, "end": 2111.7, "word": " هي", "probability": 0.87744140625}, {"start": 2111.7, "end": 2112.42, "word": " قداش", "probability": 0.7469075520833334}, {"start": 2112.42, "end": 2113.04, "word": " اللي", "probability": 0.930908203125}, {"start": 2113.04, "end": 2113.24, "word": " هو", "probability": 0.97705078125}, {"start": 2113.24, "end": 2113.78, "word": " تلت", "probability": 0.8987630208333334}], "temperature": 1.0}, {"id": 88, "seek": 212957, "start": 2114.45, "end": 2129.57, "text": "إذا قالت المسألة إلى الشكل التالي تلت مع ثلاثة الله سهل عليها بظلب السالب cosine تربية ثيتا ع تلاتة sin ثيتا على ثلاثة", "tokens": [28814, 15730, 50239, 2655, 9673, 3794, 10721, 37977, 30731, 25124, 28820, 16712, 6027, 1829, 6055, 1211, 2655, 20449, 38637, 1211, 5718, 104, 3660, 21984, 8608, 3224, 1211, 25894, 11296, 4724, 19913, 46152, 21136, 6027, 3555, 23565, 6055, 25513, 10632, 38637, 36081, 995, 6225, 6055, 1211, 9307, 3660, 3343, 38637, 36081, 995, 15844, 38637, 1211, 5718, 104, 3660], "avg_logprob": -0.266163802866278, "compression_ratio": 1.553030303030303, "no_speech_prob": 0.0, "words": [{"start": 2114.45, "end": 2114.89, "word": "إذا", "probability": 0.51123046875}, {"start": 2114.89, "end": 2115.49, "word": " قالت", "probability": 0.634521484375}, {"start": 2115.49, "end": 2116.23, "word": " المسألة", "probability": 0.858154296875}, {"start": 2116.23, "end": 2116.45, "word": " إلى", "probability": 0.779296875}, {"start": 2116.45, "end": 2117.05, "word": " الشكل", "probability": 0.945556640625}, {"start": 2117.05, "end": 2117.67, "word": " التالي", "probability": 0.9519856770833334}, {"start": 2117.67, "end": 2118.23, "word": " تلت", "probability": 0.8440755208333334}, {"start": 2118.23, "end": 2118.45, "word": " مع", "probability": 0.98876953125}, {"start": 2118.45, "end": 2119.05, "word": " ثلاثة", "probability": 0.89306640625}, {"start": 2119.05, "end": 2119.15, "word": " الله", "probability": 0.7060546875}, {"start": 2119.15, "end": 2119.65, "word": " سهل", "probability": 0.754150390625}, {"start": 2119.65, "end": 2120.19, "word": " عليها", "probability": 0.994140625}, {"start": 2120.19, "end": 2121.05, "word": " بظلب", "probability": 0.6758626302083334}, {"start": 2121.05, "end": 2122.13, "word": " السالب", "probability": 0.8899739583333334}, {"start": 2122.13, "end": 2122.97, "word": " cosine", "probability": 0.56103515625}, {"start": 2122.97, "end": 2124.09, "word": " تربية", "probability": 0.7852376302083334}, {"start": 2124.09, "end": 2124.79, "word": " ثيتا", "probability": 0.71337890625}, {"start": 2124.79, "end": 2124.93, "word": " ع", "probability": 0.60205078125}, {"start": 2124.93, "end": 2125.91, "word": " تلاتة", "probability": 0.8094482421875}, {"start": 2125.91, "end": 2126.73, "word": " sin", "probability": 0.462158203125}, {"start": 2126.73, "end": 2128.01, "word": " ثيتا", "probability": 0.695556640625}, {"start": 2128.01, "end": 2128.61, "word": " على", "probability": 0.7607421875}, {"start": 2128.61, "end": 2129.57, "word": " ثلاثة", "probability": 0.9216796875}], "temperature": 1.0}, {"id": 89, "seek": 215457, "start": 2130.05, "end": 2154.57, "text": "الان بدي اللى هو ال L فبروح بقوله ال L يسوى تكامل من Zero لغاية Pi على أربعة للجذر التربيهي R تربيه بده ربع هادي يبقى لابراهيم رابعه بيصير Cos واس قداشر Cos أستة لثيتة على تلاتة", "tokens": [6027, 7649, 4724, 16254, 13672, 7578, 31439, 2423, 441, 6156, 26890, 2407, 5016, 4724, 39648, 3224, 2423, 441, 7251, 3794, 2407, 7578, 6055, 4117, 10943, 1211, 9154, 17182, 5296, 17082, 995, 10632, 17741, 15844, 5551, 25513, 27884, 24976, 7435, 8848, 2288, 16712, 2288, 21292, 3224, 1829, 497, 6055, 2288, 21292, 3224, 47525, 3224, 12602, 3555, 3615, 8032, 995, 16254, 7251, 3555, 4587, 7578, 5296, 16758, 23557, 3224, 32640, 12602, 16758, 3615, 3224, 4724, 1829, 9381, 13546, 15855, 4032, 32277, 12174, 3215, 33599, 2288, 15855, 5551, 3794, 2655, 3660, 5296, 12984, 36081, 3660, 15844, 6055, 1211, 9307, 3660], "avg_logprob": -0.3469387666911495, "compression_ratio": 1.6117021276595744, "no_speech_prob": 0.0, "words": [{"start": 2130.05, "end": 2130.57, "word": "الان", "probability": 0.726318359375}, {"start": 2130.57, "end": 2131.09, "word": " بدي", "probability": 0.658447265625}, {"start": 2131.09, "end": 2131.81, "word": " اللى", "probability": 0.666259765625}, {"start": 2131.81, "end": 2132.01, "word": " هو", "probability": 0.8642578125}, {"start": 2132.01, "end": 2132.25, "word": " ال", "probability": 0.9189453125}, {"start": 2132.25, "end": 2132.63, "word": " L", "probability": 0.82275390625}, {"start": 2132.63, "end": 2133.53, "word": " فبروح", "probability": 0.8895263671875}, {"start": 2133.53, "end": 2134.19, "word": " بقوله", "probability": 0.8328450520833334}, {"start": 2134.19, "end": 2134.41, "word": " ال", "probability": 0.61083984375}, {"start": 2134.41, "end": 2134.97, "word": " L", "probability": 0.98046875}, {"start": 2134.97, "end": 2136.17, "word": " يسوى", "probability": 0.83447265625}, {"start": 2136.17, "end": 2137.25, "word": " تكامل", "probability": 0.977294921875}, {"start": 2137.25, "end": 2138.09, "word": " من", "probability": 0.99365234375}, {"start": 2138.09, "end": 2138.79, "word": " Zero", "probability": 0.33837890625}, {"start": 2138.79, "end": 2139.85, "word": " لغاية", "probability": 0.9752197265625}, {"start": 2139.85, "end": 2140.21, "word": " Pi", "probability": 0.671875}, {"start": 2140.21, "end": 2140.73, "word": " على", "probability": 0.54931640625}, {"start": 2140.73, "end": 2141.69, "word": " أربعة", "probability": 0.78857421875}, {"start": 2141.69, "end": 2142.99, "word": " للجذر", "probability": 0.8753662109375}, {"start": 2142.99, "end": 2143.97, "word": " التربيهي", "probability": 0.681396484375}, {"start": 2143.97, "end": 2144.43, "word": " R", "probability": 0.68798828125}, {"start": 2144.43, "end": 2145.15, "word": " تربيه", "probability": 0.849365234375}, {"start": 2145.15, "end": 2145.59, "word": " بده", "probability": 0.54571533203125}, {"start": 2145.59, "end": 2146.05, "word": " ربع", "probability": 0.947265625}, {"start": 2146.05, "end": 2146.59, "word": " هادي", "probability": 0.80859375}, {"start": 2146.59, "end": 2147.37, "word": " يبقى", "probability": 0.9451904296875}, {"start": 2147.37, "end": 2147.75, "word": " لابراهيم", "probability": 0.4835693359375}, {"start": 2147.75, "end": 2147.91, "word": " رابعه", "probability": 0.65252685546875}, {"start": 2147.91, "end": 2148.09, "word": " بيصير", "probability": 0.6365966796875}, {"start": 2148.09, "end": 2148.37, "word": " Cos", "probability": 0.294921875}, {"start": 2148.37, "end": 2148.75, "word": " واس", "probability": 0.32781982421875}, {"start": 2148.75, "end": 2149.65, "word": " قداشر", "probability": 0.648193359375}, {"start": 2149.65, "end": 2150.61, "word": " Cos", "probability": 0.64501953125}, {"start": 2150.61, "end": 2152.09, "word": " أستة", "probability": 0.531494140625}, {"start": 2152.09, "end": 2153.11, "word": " لثيتة", "probability": 0.7735595703125}, {"start": 2153.11, "end": 2153.61, "word": " على", "probability": 0.86328125}, {"start": 2153.61, "end": 2154.57, "word": " تلاتة", "probability": 0.961669921875}], "temperature": 1.0}, {"id": 90, "seek": 218279, "start": 2155.09, "end": 2182.79, "text": "زائد بدنا نربع المشتقة فبصير cosine أس أربعة ثيتة ع تلاتة cosine تربيع ثيتة ع تلاتة كله على d ثيتا اش رايك بدي اخد cosine تربيع عامل مشترك فبص cosine أس أربعة قصدك يبقى هنا اي تكامل من zero لغاية pi على أربعة", "tokens": [11622, 16373, 3215, 47525, 8315, 8717, 25513, 3615, 9673, 8592, 2655, 28671, 6156, 3555, 9381, 13546, 23565, 5551, 3794, 5551, 25513, 27884, 38637, 36081, 3660, 6225, 6055, 1211, 9307, 3660, 23565, 6055, 2288, 21292, 3615, 38637, 36081, 3660, 6225, 6055, 1211, 9307, 3660, 28242, 3224, 15844, 274, 38637, 36081, 995, 1975, 8592, 12602, 47302, 4117, 4724, 16254, 1975, 9778, 3215, 23565, 6055, 2288, 21292, 3615, 6225, 10943, 1211, 37893, 2655, 31747, 6156, 3555, 9381, 23565, 5551, 3794, 5551, 25513, 27884, 12174, 9381, 3215, 4117, 7251, 3555, 4587, 7578, 34105, 1975, 1829, 6055, 4117, 10943, 1211, 9154, 4018, 5296, 17082, 995, 10632, 3895, 15844, 5551, 25513, 27884], "avg_logprob": -0.25598713616344415, "compression_ratio": 1.8846153846153846, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2155.09, "end": 2156.13, "word": "زائد", "probability": 0.7010091145833334}, {"start": 2156.13, "end": 2156.83, "word": " بدنا", "probability": 0.51373291015625}, {"start": 2156.83, "end": 2157.39, "word": " نربع", "probability": 0.673095703125}, {"start": 2157.39, "end": 2158.59, "word": " المشتقة", "probability": 0.9193115234375}, {"start": 2158.59, "end": 2159.67, "word": " فبصير", "probability": 0.8668212890625}, {"start": 2159.67, "end": 2160.37, "word": " cosine", "probability": 0.286865234375}, {"start": 2160.37, "end": 2161.01, "word": " أس", "probability": 0.671875}, {"start": 2161.01, "end": 2161.71, "word": " أربعة", "probability": 0.79248046875}, {"start": 2161.71, "end": 2162.35, "word": " ثيتة", "probability": 0.6884765625}, {"start": 2162.35, "end": 2162.55, "word": " ع", "probability": 0.6806640625}, {"start": 2162.55, "end": 2163.33, "word": " تلاتة", "probability": 0.9332275390625}, {"start": 2163.33, "end": 2164.11, "word": " cosine", "probability": 0.2470703125}, {"start": 2164.11, "end": 2164.99, "word": " تربيع", "probability": 0.77099609375}, {"start": 2164.99, "end": 2165.63, "word": " ثيتة", "probability": 0.8611653645833334}, {"start": 2165.63, "end": 2165.83, "word": " ع", "probability": 0.923828125}, {"start": 2165.83, "end": 2166.67, "word": " تلاتة", "probability": 0.9825439453125}, {"start": 2166.67, "end": 2167.67, "word": " كله", "probability": 0.850341796875}, {"start": 2167.67, "end": 2168.05, "word": " على", "probability": 0.8388671875}, {"start": 2168.05, "end": 2168.61, "word": " d", "probability": 0.3779296875}, {"start": 2168.61, "end": 2169.65, "word": " ثيتا", "probability": 0.76318359375}, {"start": 2169.65, "end": 2170.51, "word": " اش", "probability": 0.414306640625}, {"start": 2170.51, "end": 2170.93, "word": " رايك", "probability": 0.9169921875}, {"start": 2170.93, "end": 2171.23, "word": " بدي", "probability": 0.7135009765625}, {"start": 2171.23, "end": 2171.59, "word": " اخد", "probability": 0.861328125}, {"start": 2171.59, "end": 2172.19, "word": " cosine", "probability": 0.92431640625}, {"start": 2172.19, "end": 2173.37, "word": " تربيع", "probability": 0.971923828125}, {"start": 2173.37, "end": 2174.21, "word": " عامل", "probability": 0.9807942708333334}, {"start": 2174.21, "end": 2175.11, "word": " مشترك", "probability": 0.9609375}, {"start": 2175.11, "end": 2176.01, "word": " فبص", "probability": 0.8650716145833334}, {"start": 2176.01, "end": 2176.41, "word": " cosine", "probability": 0.2354736328125}, {"start": 2176.41, "end": 2176.67, "word": " أس", "probability": 0.975830078125}, {"start": 2176.67, "end": 2177.03, "word": " أربعة", "probability": 0.9108072916666666}, {"start": 2177.03, "end": 2177.53, "word": " قصدك", "probability": 0.7530517578125}, {"start": 2177.53, "end": 2178.37, "word": " يبقى", "probability": 0.957763671875}, {"start": 2178.37, "end": 2178.63, "word": " هنا", "probability": 0.9833984375}, {"start": 2178.63, "end": 2178.97, "word": " اي", "probability": 0.716552734375}, {"start": 2178.97, "end": 2179.73, "word": " تكامل", "probability": 0.9599609375}, {"start": 2179.73, "end": 2180.05, "word": " من", "probability": 0.9921875}, {"start": 2180.05, "end": 2180.31, "word": " zero", "probability": 0.6572265625}, {"start": 2180.31, "end": 2180.93, "word": " لغاية", "probability": 0.982666015625}, {"start": 2180.93, "end": 2181.33, "word": " pi", "probability": 0.36474609375}, {"start": 2181.33, "end": 2181.77, "word": " على", "probability": 0.599609375}, {"start": 2181.77, "end": 2182.79, "word": " أربعة", "probability": 0.8470052083333334}], "temperature": 1.0}, {"id": 91, "seek": 220330, "start": 2183.2, "end": 2203.3, "text": "لمن؟ للجذر التربية يعني cos أربعة ثيتة ع تلاتة عامل مشترك بظل cos تربية ثيتة على تلاتة زي sin تربية ثيتة على تلاتة كله بالنسبة لمن؟ ل D ثيتا", "tokens": [1211, 27842, 22807, 24976, 7435, 8848, 2288, 16712, 25513, 10632, 37495, 22653, 3792, 5551, 25513, 27884, 38637, 36081, 3660, 6225, 6055, 1211, 9307, 3660, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 19913, 1211, 3792, 6055, 25513, 10632, 38637, 36081, 3660, 15844, 6055, 1211, 9307, 3660, 30767, 1829, 3343, 6055, 25513, 10632, 38637, 36081, 3660, 15844, 6055, 1211, 9307, 3660, 28242, 3224, 20666, 1863, 35457, 3660, 5296, 27842, 22807, 5296, 413, 38637, 36081, 995], "avg_logprob": -0.27977195059930954, "compression_ratio": 1.7664233576642336, "no_speech_prob": 0.0, "words": [{"start": 2183.2, "end": 2184.16, "word": "لمن؟", "probability": 0.5082194010416666}, {"start": 2184.16, "end": 2185.12, "word": " للجذر", "probability": 0.7540283203125}, {"start": 2185.12, "end": 2185.94, "word": " التربية", "probability": 0.6610514322916666}, {"start": 2185.94, "end": 2186.52, "word": " يعني", "probability": 0.651123046875}, {"start": 2186.52, "end": 2187.48, "word": " cos", "probability": 0.10650634765625}, {"start": 2187.48, "end": 2188.7, "word": " أربعة", "probability": 0.81982421875}, {"start": 2188.7, "end": 2189.26, "word": " ثيتة", "probability": 0.6461588541666666}, {"start": 2189.26, "end": 2189.44, "word": " ع", "probability": 0.63134765625}, {"start": 2189.44, "end": 2190.08, "word": " تلاتة", "probability": 0.9169921875}, {"start": 2190.08, "end": 2190.5, "word": " عامل", "probability": 0.8011881510416666}, {"start": 2190.5, "end": 2191.16, "word": " مشترك", "probability": 0.97119140625}, {"start": 2191.16, "end": 2192.08, "word": " بظل", "probability": 0.6631673177083334}, {"start": 2192.08, "end": 2192.66, "word": " cos", "probability": 0.83203125}, {"start": 2192.66, "end": 2193.44, "word": " تربية", "probability": 0.9039713541666666}, {"start": 2193.44, "end": 2194.06, "word": " ثيتة", "probability": 0.90185546875}, {"start": 2194.06, "end": 2194.34, "word": " على", "probability": 0.5927734375}, {"start": 2194.34, "end": 2195.28, "word": " تلاتة", "probability": 0.98486328125}, {"start": 2195.28, "end": 2196.0, "word": " زي", "probability": 0.755859375}, {"start": 2196.0, "end": 2196.48, "word": " sin", "probability": 0.4755859375}, {"start": 2196.48, "end": 2197.24, "word": " تربية", "probability": 0.9705403645833334}, {"start": 2197.24, "end": 2198.06, "word": " ثيتة", "probability": 0.9518229166666666}, {"start": 2198.06, "end": 2198.46, "word": " على", "probability": 0.90771484375}, {"start": 2198.46, "end": 2199.62, "word": " تلاتة", "probability": 0.9893798828125}, {"start": 2199.62, "end": 2200.8, "word": " كله", "probability": 0.794677734375}, {"start": 2200.8, "end": 2201.38, "word": " بالنسبة", "probability": 0.994873046875}, {"start": 2201.38, "end": 2202.28, "word": " لمن؟", "probability": 0.8855794270833334}, {"start": 2202.28, "end": 2202.52, "word": " ل", "probability": 0.970703125}, {"start": 2202.52, "end": 2202.78, "word": " D", "probability": 0.1812744140625}, {"start": 2202.78, "end": 2203.3, "word": " ثيتا", "probability": 0.6231282552083334}], "temperature": 1.0}, {"id": 92, "seek": 221850, "start": 2203.62, "end": 2218.5, "text": "يبقى بده يساوي تكامل من Zero لغاية Pi على أربع هذا المقدار بين ال cosine كده؟ واحد واحد صحيح يا مع السلامة بضل الجذر التربيهي ل cosine أُس 4 يبقى", "tokens": [1829, 3555, 4587, 7578, 47525, 3224, 7251, 3794, 995, 45865, 6055, 4117, 10943, 1211, 9154, 17182, 5296, 17082, 995, 10632, 17741, 15844, 5551, 25513, 3615, 23758, 9673, 28543, 9640, 49374, 2423, 23565, 9122, 3215, 3224, 22807, 36764, 24401, 36764, 24401, 20328, 5016, 1829, 5016, 35186, 20449, 21136, 37440, 3660, 4724, 11242, 1211, 25724, 8848, 2288, 16712, 2288, 21292, 3224, 1829, 5296, 23565, 5551, 10859, 3794, 1017, 7251, 3555, 4587, 7578], "avg_logprob": -0.3919454317697337, "compression_ratio": 1.4152046783625731, "no_speech_prob": 0.0, "words": [{"start": 2203.62, "end": 2204.32, "word": "يبقى", "probability": 0.80133056640625}, {"start": 2204.32, "end": 2204.7, "word": " بده", "probability": 0.48565673828125}, {"start": 2204.7, "end": 2205.2, "word": " يساوي", "probability": 0.8646240234375}, {"start": 2205.2, "end": 2206.24, "word": " تكامل", "probability": 0.9844970703125}, {"start": 2206.24, "end": 2206.48, "word": " من", "probability": 0.98046875}, {"start": 2206.48, "end": 2206.84, "word": " Zero", "probability": 0.2442626953125}, {"start": 2206.84, "end": 2207.54, "word": " لغاية", "probability": 0.97705078125}, {"start": 2207.54, "end": 2207.88, "word": " Pi", "probability": 0.53466796875}, {"start": 2207.88, "end": 2208.18, "word": " على", "probability": 0.62744140625}, {"start": 2208.18, "end": 2208.66, "word": " أربع", "probability": 0.78173828125}, {"start": 2208.66, "end": 2209.52, "word": " هذا", "probability": 0.6767578125}, {"start": 2209.52, "end": 2210.22, "word": " المقدار", "probability": 0.9078776041666666}, {"start": 2210.22, "end": 2210.52, "word": " بين", "probability": 0.97900390625}, {"start": 2210.52, "end": 2210.7, "word": " ال", "probability": 0.53955078125}, {"start": 2210.7, "end": 2211.16, "word": " cosine", "probability": 0.342041015625}, {"start": 2211.16, "end": 2212.02, "word": " كده؟", "probability": 0.68951416015625}, {"start": 2212.02, "end": 2212.46, "word": " واحد", "probability": 0.866455078125}, {"start": 2212.46, "end": 2213.1, "word": " واحد", "probability": 0.6279296875}, {"start": 2213.1, "end": 2213.44, "word": " صحيح", "probability": 0.761505126953125}, {"start": 2213.44, "end": 2213.6, "word": " يا", "probability": 0.56787109375}, {"start": 2213.6, "end": 2213.78, "word": " مع", "probability": 0.5732421875}, {"start": 2213.78, "end": 2214.42, "word": " السلامة", "probability": 0.7770182291666666}, {"start": 2214.42, "end": 2214.8, "word": " بضل", "probability": 0.3537190755208333}, {"start": 2214.8, "end": 2215.4, "word": " الجذر", "probability": 0.8225911458333334}, {"start": 2215.4, "end": 2216.2, "word": " التربيهي", "probability": 0.82001953125}, {"start": 2216.2, "end": 2216.34, "word": " ل", "probability": 0.8388671875}, {"start": 2216.34, "end": 2217.04, "word": " cosine", "probability": 0.65625}, {"start": 2217.04, "end": 2217.46, "word": " أُس", "probability": 0.5916748046875}, {"start": 2217.46, "end": 2217.76, "word": " 4", "probability": 0.2364501953125}, {"start": 2217.76, "end": 2218.5, "word": " يبقى", "probability": 0.9296875}], "temperature": 1.0}, {"id": 93, "seek": 224452, "start": 2218.84, "end": 2244.52, "text": "قصين تربيع بس absolute value وكل كمية مربعة يبقى لا معنى لل absolute value يبقى قصين تربيع لثيتا على تلاتة دي ثيتا هذه بقدرش أكملها إلا أكتبها بدلالة ضعف الزاوية يبقى هذه النص برا وهي تكامل من zero ل pi على أربعة وهذه واحدة", "tokens": [4587, 9381, 9957, 6055, 2288, 21292, 3615, 4724, 3794, 8236, 2158, 4032, 28820, 9122, 2304, 10632, 3714, 25513, 27884, 7251, 3555, 4587, 7578, 20193, 20449, 1863, 7578, 24976, 8236, 2158, 7251, 3555, 4587, 7578, 12174, 9381, 9957, 6055, 2288, 21292, 3615, 5296, 12984, 36081, 995, 15844, 6055, 1211, 9307, 3660, 11778, 1829, 38637, 36081, 995, 29538, 4724, 28543, 2288, 8592, 5551, 24793, 1211, 11296, 11933, 15040, 5551, 4117, 2655, 3555, 11296, 47525, 1211, 6027, 3660, 48812, 3615, 5172, 6024, 110, 995, 2407, 10632, 7251, 3555, 4587, 7578, 29538, 28239, 9381, 4724, 23557, 37037, 1829, 6055, 4117, 10943, 1211, 9154, 4018, 5296, 3895, 15844, 5551, 25513, 27884, 37037, 24192, 36764, 24401, 3660], "avg_logprob": -0.23256138007023505, "compression_ratio": 1.75, "no_speech_prob": 0.0, "words": [{"start": 2218.84, "end": 2219.6, "word": "قصين", "probability": 0.3202921549479167}, {"start": 2219.6, "end": 2219.98, "word": " تربيع", "probability": 0.8087158203125}, {"start": 2219.98, "end": 2220.22, "word": " بس", "probability": 0.757080078125}, {"start": 2220.22, "end": 2220.64, "word": " absolute", "probability": 0.79736328125}, {"start": 2220.64, "end": 2221.12, "word": " value", "probability": 0.9892578125}, {"start": 2221.12, "end": 2221.48, "word": " وكل", "probability": 0.732421875}, {"start": 2221.48, "end": 2221.96, "word": " كمية", "probability": 0.9718424479166666}, {"start": 2221.96, "end": 2222.64, "word": " مربعة", "probability": 0.92236328125}, {"start": 2222.64, "end": 2223.48, "word": " يبقى", "probability": 0.88916015625}, {"start": 2223.48, "end": 2223.6, "word": " لا", "probability": 0.796875}, {"start": 2223.6, "end": 2224.08, "word": " معنى", "probability": 0.9664713541666666}, {"start": 2224.08, "end": 2224.28, "word": " لل", "probability": 0.53125}, {"start": 2224.28, "end": 2225.04, "word": " absolute", "probability": 0.90625}, {"start": 2225.04, "end": 2225.84, "word": " value", "probability": 0.984375}, {"start": 2225.84, "end": 2226.14, "word": " يبقى", "probability": 0.938232421875}, {"start": 2226.14, "end": 2226.86, "word": " قصين", "probability": 0.7831217447916666}, {"start": 2226.86, "end": 2227.74, "word": " تربيع", "probability": 0.9725341796875}, {"start": 2227.74, "end": 2229.04, "word": " لثيتا", "probability": 0.71319580078125}, {"start": 2229.04, "end": 2229.38, "word": " على", "probability": 0.7822265625}, {"start": 2229.38, "end": 2230.3, "word": " تلاتة", "probability": 0.92724609375}, {"start": 2230.3, "end": 2230.54, "word": " دي", "probability": 0.774169921875}, {"start": 2230.54, "end": 2231.1, "word": " ثيتا", "probability": 0.8829752604166666}, {"start": 2231.1, "end": 2231.8, "word": " هذه", "probability": 0.6357421875}, {"start": 2231.8, "end": 2232.4, "word": " بقدرش", "probability": 0.79730224609375}, {"start": 2232.4, "end": 2233.0, "word": " أكملها", "probability": 0.826416015625}, {"start": 2233.0, "end": 2233.2, "word": " إلا", "probability": 0.94775390625}, {"start": 2233.2, "end": 2233.7, "word": " أكتبها", "probability": 0.951953125}, {"start": 2233.7, "end": 2234.54, "word": " بدلالة", "probability": 0.93505859375}, {"start": 2234.54, "end": 2235.46, "word": " ضعف", "probability": 0.9443359375}, {"start": 2235.46, "end": 2236.62, "word": " الزاوية", "probability": 0.974609375}, {"start": 2236.62, "end": 2237.24, "word": " يبقى", "probability": 0.974853515625}, {"start": 2237.24, "end": 2237.48, "word": " هذه", "probability": 0.3837890625}, {"start": 2237.48, "end": 2238.04, "word": " النص", "probability": 0.931640625}, {"start": 2238.04, "end": 2238.66, "word": " برا", "probability": 0.83544921875}, {"start": 2238.66, "end": 2239.44, "word": " وهي", "probability": 0.91552734375}, {"start": 2239.44, "end": 2240.1, "word": " تكامل", "probability": 0.90869140625}, {"start": 2240.1, "end": 2240.34, "word": " من", "probability": 0.9951171875}, {"start": 2240.34, "end": 2240.68, "word": " zero", "probability": 0.54150390625}, {"start": 2240.68, "end": 2240.94, "word": " ل", "probability": 0.876953125}, {"start": 2240.94, "end": 2241.26, "word": " pi", "probability": 0.0853271484375}, {"start": 2241.26, "end": 2241.84, "word": " على", "probability": 0.77197265625}, {"start": 2241.84, "end": 2242.68, "word": " أربعة", "probability": 0.70751953125}, {"start": 2242.68, "end": 2243.54, "word": " وهذه", "probability": 0.76708984375}, {"start": 2243.54, "end": 2244.52, "word": " واحدة", "probability": 0.9510091145833334}], "temperature": 1.0}, {"id": 94, "seek": 226744, "start": 2244.54, "end": 2267.44, "text": "زائد كوصين اتنين ثيتا على تلاتة كله بالنسبة الى d ثيتا يبقى هاي النص برا وهي ثيتا زائد تلاتة على اتنين صين اتنين ثيتا على تلاتة وهذا كله من zero لغاية pi على اربع", "tokens": [11622, 16373, 3215, 9122, 2407, 9381, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 15844, 6055, 1211, 9307, 3660, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 274, 38637, 36081, 995, 7251, 3555, 4587, 7578, 8032, 47302, 28239, 9381, 4724, 23557, 37037, 1829, 38637, 36081, 995, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 20328, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 15844, 6055, 1211, 9307, 3660, 37037, 15730, 28242, 3224, 9154, 4018, 5296, 17082, 995, 10632, 3895, 15844, 1975, 25513, 3615], "avg_logprob": -0.20223721912638706, "compression_ratio": 1.9722222222222223, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2244.54, "end": 2245.34, "word": "زائد", "probability": 0.7022298177083334}, {"start": 2245.34, "end": 2246.06, "word": " كوصين", "probability": 0.561065673828125}, {"start": 2246.06, "end": 2246.74, "word": " اتنين", "probability": 0.899658203125}, {"start": 2246.74, "end": 2247.5, "word": " ثيتا", "probability": 0.74755859375}, {"start": 2247.5, "end": 2247.98, "word": " على", "probability": 0.703125}, {"start": 2247.98, "end": 2249.08, "word": " تلاتة", "probability": 0.9359130859375}, {"start": 2249.08, "end": 2249.84, "word": " كله", "probability": 0.792724609375}, {"start": 2249.84, "end": 2250.52, "word": " بالنسبة", "probability": 0.9923095703125}, {"start": 2250.52, "end": 2250.88, "word": " الى", "probability": 0.757080078125}, {"start": 2250.88, "end": 2251.04, "word": " d", "probability": 0.50634765625}, {"start": 2251.04, "end": 2251.74, "word": " ثيتا", "probability": 0.7548014322916666}, {"start": 2251.74, "end": 2252.42, "word": " يبقى", "probability": 0.9482421875}, {"start": 2252.42, "end": 2252.62, "word": " هاي", "probability": 0.6689453125}, {"start": 2252.62, "end": 2253.08, "word": " النص", "probability": 0.942626953125}, {"start": 2253.08, "end": 2253.64, "word": " برا", "probability": 0.9306640625}, {"start": 2253.64, "end": 2254.58, "word": " وهي", "probability": 0.716552734375}, {"start": 2254.58, "end": 2255.48, "word": " ثيتا", "probability": 0.91748046875}, {"start": 2255.48, "end": 2256.38, "word": " زائد", "probability": 0.9571940104166666}, {"start": 2256.38, "end": 2257.28, "word": " تلاتة", "probability": 0.947021484375}, {"start": 2257.28, "end": 2257.68, "word": " على", "probability": 0.859375}, {"start": 2257.68, "end": 2258.54, "word": " اتنين", "probability": 0.977294921875}, {"start": 2258.54, "end": 2259.52, "word": " صين", "probability": 0.60650634765625}, {"start": 2259.52, "end": 2260.4, "word": " اتنين", "probability": 0.9891357421875}, {"start": 2260.4, "end": 2261.14, "word": " ثيتا", "probability": 0.9368489583333334}, {"start": 2261.14, "end": 2261.52, "word": " على", "probability": 0.93212890625}, {"start": 2261.52, "end": 2262.52, "word": " تلاتة", "probability": 0.9857177734375}, {"start": 2262.52, "end": 2263.32, "word": " وهذا", "probability": 0.802490234375}, {"start": 2263.32, "end": 2263.86, "word": " كله", "probability": 0.985595703125}, {"start": 2263.86, "end": 2264.08, "word": " من", "probability": 0.99072265625}, {"start": 2264.08, "end": 2264.42, "word": " zero", "probability": 0.4873046875}, {"start": 2264.42, "end": 2265.24, "word": " لغاية", "probability": 0.9864501953125}, {"start": 2265.24, "end": 2266.18, "word": " pi", "probability": 0.261474609375}, {"start": 2266.18, "end": 2266.8, "word": " على", "probability": 0.7333984375}, {"start": 2266.8, "end": 2267.44, "word": " اربع", "probability": 0.7687174479166666}], "temperature": 1.0}, {"id": 95, "seek": 228487, "start": 2269.11, "end": 2284.87, "text": "عوض والنتيجة كالتالي الإجابة يا سيدي بايع تمانية زائد تلات أتمام يبقى يساوي بايع على تمانية زائد تلاتة على تمانية", "tokens": [3615, 2407, 11242, 16070, 29399, 1829, 7435, 3660, 9122, 6027, 2655, 6027, 1829, 33688, 7435, 16758, 3660, 35186, 8608, 1829, 16254, 4724, 995, 40228, 46811, 7649, 10632, 30767, 16373, 3215, 6055, 1211, 9307, 5551, 39237, 10943, 7251, 3555, 4587, 7578, 7251, 3794, 995, 45865, 4724, 995, 40228, 15844, 46811, 7649, 10632, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 15844, 46811, 7649, 10632], "avg_logprob": -0.14037698223477318, "compression_ratio": 1.831858407079646, "no_speech_prob": 0.0, "words": [{"start": 2269.11, "end": 2269.89, "word": "عوض", "probability": 0.8888346354166666}, {"start": 2269.89, "end": 2270.93, "word": " والنتيجة", "probability": 0.9064453125}, {"start": 2270.93, "end": 2272.35, "word": " كالتالي", "probability": 0.860546875}, {"start": 2272.35, "end": 2273.47, "word": " الإجابة", "probability": 0.82452392578125}, {"start": 2273.47, "end": 2273.63, "word": " يا", "probability": 0.76611328125}, {"start": 2273.63, "end": 2274.03, "word": " سيدي", "probability": 0.9191080729166666}, {"start": 2274.03, "end": 2274.53, "word": " بايع", "probability": 0.636474609375}, {"start": 2274.53, "end": 2275.49, "word": " تمانية", "probability": 0.86474609375}, {"start": 2275.49, "end": 2276.39, "word": " زائد", "probability": 0.8154296875}, {"start": 2276.39, "end": 2276.95, "word": " تلات", "probability": 0.9114583333333334}, {"start": 2276.95, "end": 2277.73, "word": " أتمام", "probability": 0.78369140625}, {"start": 2277.73, "end": 2278.73, "word": " يبقى", "probability": 0.941162109375}, {"start": 2278.73, "end": 2279.47, "word": " يساوي", "probability": 0.970458984375}, {"start": 2279.47, "end": 2280.11, "word": " بايع", "probability": 0.828125}, {"start": 2280.11, "end": 2280.51, "word": " على", "probability": 0.7900390625}, {"start": 2280.51, "end": 2281.43, "word": " تمانية", "probability": 0.97314453125}, {"start": 2281.43, "end": 2282.71, "word": " زائد", "probability": 0.9772135416666666}, {"start": 2282.71, "end": 2283.63, "word": " تلاتة", "probability": 0.9757080078125}, {"start": 2283.63, "end": 2283.95, "word": " على", "probability": 0.845703125}, {"start": 2283.95, "end": 2284.87, "word": " تمانية", "probability": 0.9837239583333334}], "temperature": 1.0}, {"id": 96, "seek": 230581, "start": 2285.43, "end": 2305.81, "text": "نجل نمر بي من المثلة بنفس الطريقة يبقى بي بدنا نروح نجيب DR على D ثيتا يبقى R يساوي الجذر التربيه الواحد زائد صين اثنين ثيتا هذا بد يعطيك انه DR على D ثيتا", "tokens": [1863, 7435, 1211, 8717, 29973, 4724, 1829, 9154, 9673, 12984, 37977, 44945, 36178, 41950, 16572, 28671, 7251, 3555, 4587, 7578, 4724, 1829, 47525, 8315, 8717, 32887, 5016, 8717, 7435, 1829, 3555, 12118, 15844, 413, 38637, 36081, 995, 7251, 3555, 4587, 7578, 497, 7251, 3794, 995, 45865, 25724, 8848, 2288, 16712, 2288, 21292, 3224, 2423, 14407, 24401, 30767, 16373, 3215, 20328, 9957, 1975, 12984, 1863, 9957, 38637, 36081, 995, 23758, 47525, 37495, 9566, 1829, 4117, 16472, 3224, 12118, 15844, 413, 38637, 36081, 995], "avg_logprob": -0.2210090314767447, "compression_ratio": 1.7197452229299364, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2285.43, "end": 2285.99, "word": "نجل", "probability": 0.4685872395833333}, {"start": 2285.99, "end": 2286.39, "word": " نمر", "probability": 0.684814453125}, {"start": 2286.39, "end": 2286.79, "word": " بي", "probability": 0.71484375}, {"start": 2286.79, "end": 2286.99, "word": " من", "probability": 0.87841796875}, {"start": 2286.99, "end": 2287.71, "word": " المثلة", "probability": 0.8681640625}, {"start": 2287.71, "end": 2288.49, "word": " بنفس", "probability": 0.939208984375}, {"start": 2288.49, "end": 2289.27, "word": " الطريقة", "probability": 0.9910481770833334}, {"start": 2289.27, "end": 2290.37, "word": " يبقى", "probability": 0.9307861328125}, {"start": 2290.37, "end": 2290.61, "word": " بي", "probability": 0.8671875}, {"start": 2290.61, "end": 2290.91, "word": " بدنا", "probability": 0.6749267578125}, {"start": 2290.91, "end": 2291.19, "word": " نروح", "probability": 0.9759114583333334}, {"start": 2291.19, "end": 2291.57, "word": " نجيب", "probability": 0.9246826171875}, {"start": 2291.57, "end": 2291.97, "word": " DR", "probability": 0.5341796875}, {"start": 2291.97, "end": 2292.71, "word": " على", "probability": 0.60302734375}, {"start": 2292.71, "end": 2293.17, "word": " D", "probability": 0.84619140625}, {"start": 2293.17, "end": 2293.85, "word": " ثيتا", "probability": 0.6178792317708334}, {"start": 2293.85, "end": 2295.09, "word": " يبقى", "probability": 0.967041015625}, {"start": 2295.09, "end": 2295.67, "word": " R", "probability": 0.94580078125}, {"start": 2295.67, "end": 2296.73, "word": " يساوي", "probability": 0.8875732421875}, {"start": 2296.73, "end": 2297.29, "word": " الجذر", "probability": 0.8570963541666666}, {"start": 2297.29, "end": 2297.93, "word": " التربيه", "probability": 0.8072509765625}, {"start": 2297.93, "end": 2298.67, "word": " الواحد", "probability": 0.7213541666666666}, {"start": 2298.67, "end": 2299.61, "word": " زائد", "probability": 0.90869140625}, {"start": 2299.61, "end": 2300.13, "word": " صين", "probability": 0.740966796875}, {"start": 2300.13, "end": 2300.67, "word": " اثنين", "probability": 0.85595703125}, {"start": 2300.67, "end": 2301.39, "word": " ثيتا", "probability": 0.9521484375}, {"start": 2301.39, "end": 2302.01, "word": " هذا", "probability": 0.77685546875}, {"start": 2302.01, "end": 2302.31, "word": " بد", "probability": 0.50146484375}, {"start": 2302.31, "end": 2303.11, "word": " يعطيك", "probability": 0.7427978515625}, {"start": 2303.11, "end": 2303.55, "word": " انه", "probability": 0.7734375}, {"start": 2303.55, "end": 2304.11, "word": " DR", "probability": 0.93017578125}, {"start": 2304.11, "end": 2304.85, "word": " على", "probability": 0.83349609375}, {"start": 2304.85, "end": 2305.17, "word": " D", "probability": 0.970703125}, {"start": 2305.17, "end": 2305.81, "word": " ثيتا", "probability": 0.8951822916666666}], "temperature": 1.0}, {"id": 97, "seek": 233196, "start": 2306.0, "end": 2331.96, "text": "مشتقة الجدر 1 على 2 الجدر يبقى 1 على 2 الجدر التربيع ل 1 زائد sin 2 θ في تفاضل ما داخل الجدر تفاضل ال 1 ب 0 تفاضل ال sin ب cos ضرب مشتقة الزاوية يبقى 2 cos 2 θ", "tokens": [2304, 8592, 2655, 28671, 25724, 3215, 2288, 502, 15844, 568, 25724, 3215, 2288, 7251, 3555, 4587, 7578, 502, 15844, 568, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 5296, 502, 30767, 16373, 3215, 3343, 568, 12622, 8978, 6055, 5172, 46958, 1211, 19446, 11778, 47283, 1211, 25724, 3215, 2288, 6055, 5172, 46958, 1211, 2423, 502, 4724, 1958, 6055, 5172, 46958, 1211, 2423, 3343, 4724, 3792, 48812, 25513, 37893, 2655, 28671, 6024, 110, 995, 2407, 10632, 7251, 3555, 4587, 7578, 568, 3792, 568, 12622], "avg_logprob": -0.1829268232714839, "compression_ratio": 1.7655172413793103, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2306.0, "end": 2307.14, "word": "مشتقة", "probability": 0.763671875}, {"start": 2307.14, "end": 2307.92, "word": " الجدر", "probability": 0.8517252604166666}, {"start": 2307.92, "end": 2308.86, "word": " 1", "probability": 0.363037109375}, {"start": 2308.86, "end": 2309.4, "word": " على", "probability": 0.361572265625}, {"start": 2309.4, "end": 2309.9, "word": " 2", "probability": 0.955078125}, {"start": 2309.9, "end": 2310.64, "word": " الجدر", "probability": 0.9803059895833334}, {"start": 2310.64, "end": 2311.58, "word": " يبقى", "probability": 0.9427490234375}, {"start": 2311.58, "end": 2312.1, "word": " 1", "probability": 0.921875}, {"start": 2312.1, "end": 2313.08, "word": " على", "probability": 0.8408203125}, {"start": 2313.08, "end": 2313.68, "word": " 2", "probability": 0.98974609375}, {"start": 2313.68, "end": 2314.28, "word": " الجدر", "probability": 0.98046875}, {"start": 2314.28, "end": 2314.98, "word": " التربيع", "probability": 0.8631591796875}, {"start": 2314.98, "end": 2315.16, "word": " ل", "probability": 0.6591796875}, {"start": 2315.16, "end": 2315.52, "word": " 1", "probability": 0.53955078125}, {"start": 2315.52, "end": 2316.14, "word": " زائد", "probability": 0.8282877604166666}, {"start": 2316.14, "end": 2316.64, "word": " sin", "probability": 0.367431640625}, {"start": 2316.64, "end": 2317.16, "word": " 2", "probability": 0.6376953125}, {"start": 2317.16, "end": 2317.64, "word": " θ", "probability": 0.284912109375}, {"start": 2317.64, "end": 2318.58, "word": " في", "probability": 0.830078125}, {"start": 2318.58, "end": 2319.62, "word": " تفاضل", "probability": 0.983642578125}, {"start": 2319.62, "end": 2319.84, "word": " ما", "probability": 0.560546875}, {"start": 2319.84, "end": 2320.5, "word": " داخل", "probability": 0.953125}, {"start": 2320.5, "end": 2321.14, "word": " الجدر", "probability": 0.9921875}, {"start": 2321.14, "end": 2322.24, "word": " تفاضل", "probability": 0.966552734375}, {"start": 2322.24, "end": 2322.38, "word": " ال", "probability": 0.79931640625}, {"start": 2322.38, "end": 2322.68, "word": " 1", "probability": 0.5849609375}, {"start": 2322.68, "end": 2323.02, "word": " ب", "probability": 0.724609375}, {"start": 2323.02, "end": 2323.3, "word": " 0", "probability": 0.45263671875}, {"start": 2323.3, "end": 2324.0, "word": " تفاضل", "probability": 0.89208984375}, {"start": 2324.0, "end": 2324.14, "word": " ال", "probability": 0.6220703125}, {"start": 2324.14, "end": 2324.42, "word": " sin", "probability": 0.88134765625}, {"start": 2324.42, "end": 2324.6, "word": " ب", "probability": 0.97802734375}, {"start": 2324.6, "end": 2325.08, "word": " cos", "probability": 0.372314453125}, {"start": 2325.08, "end": 2325.68, "word": " ضرب", "probability": 0.8369140625}, {"start": 2325.68, "end": 2326.56, "word": " مشتقة", "probability": 0.9269205729166666}, {"start": 2326.56, "end": 2327.36, "word": " الزاوية", "probability": 0.97734375}, {"start": 2327.36, "end": 2328.6, "word": " يبقى", "probability": 0.9847412109375}, {"start": 2328.6, "end": 2329.42, "word": " 2", "probability": 0.9765625}, {"start": 2329.42, "end": 2330.36, "word": " cos", "probability": 0.7109375}, {"start": 2330.36, "end": 2331.28, "word": " 2", "probability": 0.94140625}, {"start": 2331.28, "end": 2331.96, "word": " θ", "probability": 0.74609375}], "temperature": 1.0}, {"id": 98, "seek": 236131, "start": 2334.03, "end": 2361.31, "text": "طيب ايش رايك نربعها بالمرة يبقى هذه لو روحنا ربعناها بصير DR على Dθ لكل تربيع يساوي اربعة كوصين تربيع اتنين ثيتا على اربعة او اتنين هذي بتروح مع اتنين من الاولي و مافيش اربعات على واحد زائد صين اتنين ثيتا", "tokens": [9566, 1829, 3555, 1975, 1829, 8592, 12602, 47302, 4117, 8717, 25513, 3615, 11296, 20666, 2304, 25720, 7251, 3555, 4587, 7578, 29538, 45164, 12602, 2407, 5016, 8315, 12602, 3555, 3615, 8315, 11296, 4724, 9381, 13546, 12118, 15844, 413, 9440, 5296, 28820, 6055, 2288, 21292, 3615, 7251, 3794, 995, 45865, 1975, 25513, 27884, 9122, 2407, 9381, 9957, 6055, 2288, 21292, 3615, 1975, 2655, 1863, 9957, 38637, 36081, 995, 15844, 1975, 25513, 27884, 1975, 2407, 1975, 2655, 1863, 9957, 8032, 8848, 1829, 39894, 32887, 5016, 20449, 1975, 2655, 1863, 9957, 9154, 42963, 12610, 1829, 4032, 19446, 41185, 8592, 1975, 25513, 3615, 9307, 15844, 36764, 24401, 30767, 16373, 3215, 20328, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995], "avg_logprob": -0.22105978131294252, "compression_ratio": 1.9623655913978495, "no_speech_prob": 0.0, "words": [{"start": 2334.03, "end": 2334.35, "word": "طيب", "probability": 0.69873046875}, {"start": 2334.35, "end": 2334.61, "word": " ايش", "probability": 0.6587320963541666}, {"start": 2334.61, "end": 2334.87, "word": " رايك", "probability": 0.8094889322916666}, {"start": 2334.87, "end": 2335.45, "word": " نربعها", "probability": 0.78076171875}, {"start": 2335.45, "end": 2336.13, "word": " بالمرة", "probability": 0.8331705729166666}, {"start": 2336.13, "end": 2337.25, "word": " يبقى", "probability": 0.890380859375}, {"start": 2337.25, "end": 2337.59, "word": " هذه", "probability": 0.4326171875}, {"start": 2337.59, "end": 2337.85, "word": " لو", "probability": 0.9599609375}, {"start": 2337.85, "end": 2338.35, "word": " روحنا", "probability": 0.9722900390625}, {"start": 2338.35, "end": 2339.61, "word": " ربعناها", "probability": 0.92236328125}, {"start": 2339.61, "end": 2340.67, "word": " بصير", "probability": 0.89306640625}, {"start": 2340.67, "end": 2341.45, "word": " DR", "probability": 0.595703125}, {"start": 2341.45, "end": 2342.21, "word": " على", "probability": 0.6630859375}, {"start": 2342.21, "end": 2343.05, "word": " Dθ", "probability": 0.65380859375}, {"start": 2343.05, "end": 2343.69, "word": " لكل", "probability": 0.82958984375}, {"start": 2343.69, "end": 2344.49, "word": " تربيع", "probability": 0.75958251953125}, {"start": 2344.49, "end": 2345.91, "word": " يساوي", "probability": 0.83154296875}, {"start": 2345.91, "end": 2346.75, "word": " اربعة", "probability": 0.7095540364583334}, {"start": 2346.75, "end": 2347.97, "word": " كوصين", "probability": 0.5782470703125}, {"start": 2347.97, "end": 2349.03, "word": " تربيع", "probability": 0.9476318359375}, {"start": 2349.03, "end": 2349.77, "word": " اتنين", "probability": 0.9696044921875}, {"start": 2349.77, "end": 2350.71, "word": " ثيتا", "probability": 0.75244140625}, {"start": 2350.71, "end": 2351.79, "word": " على", "probability": 0.82568359375}, {"start": 2351.79, "end": 2352.71, "word": " اربعة", "probability": 0.9059244791666666}, {"start": 2352.71, "end": 2352.95, "word": " او", "probability": 0.9755859375}, {"start": 2352.95, "end": 2353.31, "word": " اتنين", "probability": 0.9898681640625}, {"start": 2353.31, "end": 2353.59, "word": " هذي", "probability": 0.6730143229166666}, {"start": 2353.59, "end": 2354.01, "word": " بتروح", "probability": 0.9415690104166666}, {"start": 2354.01, "end": 2354.23, "word": " مع", "probability": 0.970703125}, {"start": 2354.23, "end": 2354.63, "word": " اتنين", "probability": 0.989013671875}, {"start": 2354.63, "end": 2354.83, "word": " من", "probability": 0.98974609375}, {"start": 2354.83, "end": 2355.37, "word": " الاولي", "probability": 0.6407063802083334}, {"start": 2355.37, "end": 2355.45, "word": " و", "probability": 0.58154296875}, {"start": 2355.45, "end": 2355.77, "word": " مافيش", "probability": 0.7000325520833334}, {"start": 2355.77, "end": 2356.59, "word": " اربعات", "probability": 0.873779296875}, {"start": 2356.59, "end": 2357.37, "word": " على", "probability": 0.85986328125}, {"start": 2357.37, "end": 2358.09, "word": " واحد", "probability": 0.98828125}, {"start": 2358.09, "end": 2358.83, "word": " زائد", "probability": 0.9772135416666666}, {"start": 2358.83, "end": 2359.63, "word": " صين", "probability": 0.7000732421875}, {"start": 2359.63, "end": 2360.75, "word": " اتنين", "probability": 0.986328125}, {"start": 2360.75, "end": 2361.31, "word": " ثيتا", "probability": 0.9685872395833334}], "temperature": 1.0}, {"id": 99, "seek": 237788, "start": 2362.16, "end": 2377.88, "text": "الان بدى اروح اجيب ال length L يبقى تكامل من zero لغاية by جدر اتنين للجدر التربيهى", "tokens": [6027, 7649, 47525, 7578, 1975, 32887, 5016, 1975, 7435, 1829, 3555, 2423, 4641, 441, 7251, 3555, 4587, 7578, 6055, 4117, 10943, 1211, 9154, 4018, 5296, 17082, 995, 10632, 538, 10874, 3215, 2288, 1975, 2655, 1863, 9957, 24976, 7435, 3215, 2288, 16712, 2288, 21292, 3224, 7578], "avg_logprob": -0.27055028340090875, "compression_ratio": 1.2017543859649122, "no_speech_prob": 0.0, "words": [{"start": 2362.16, "end": 2362.7, "word": "الان", "probability": 0.6767578125}, {"start": 2362.7, "end": 2363.08, "word": " بدى", "probability": 0.3419189453125}, {"start": 2363.08, "end": 2363.36, "word": " اروح", "probability": 0.7203776041666666}, {"start": 2363.36, "end": 2363.82, "word": " اجيب", "probability": 0.9278564453125}, {"start": 2363.82, "end": 2364.02, "word": " ال", "probability": 0.87841796875}, {"start": 2364.02, "end": 2364.58, "word": " length", "probability": 0.69677734375}, {"start": 2364.58, "end": 2365.18, "word": " L", "probability": 0.69287109375}, {"start": 2365.18, "end": 2366.1, "word": " يبقى", "probability": 0.9539794921875}, {"start": 2366.1, "end": 2367.3, "word": " تكامل", "probability": 0.9754638671875}, {"start": 2367.3, "end": 2368.16, "word": " من", "probability": 0.9794921875}, {"start": 2368.16, "end": 2368.8, "word": " zero", "probability": 0.38232421875}, {"start": 2368.8, "end": 2370.02, "word": " لغاية", "probability": 0.9793701171875}, {"start": 2370.02, "end": 2370.7, "word": " by", "probability": 0.427490234375}, {"start": 2370.7, "end": 2371.52, "word": " جدر", "probability": 0.84765625}, {"start": 2371.52, "end": 2372.18, "word": " اتنين", "probability": 0.8695068359375}, {"start": 2372.18, "end": 2376.8, "word": " للجدر", "probability": 0.766693115234375}, {"start": 2376.8, "end": 2377.88, "word": " التربيهى", "probability": 0.7380859375}], "temperature": 1.0}, {"id": 100, "seek": 240744, "start": 2378.23, "end": 2407.45, "text": "لـ R تربية بإننا نروح الرابعة دي، لو رابعنا هذا، إيش بيحصل؟ الجذر مع السلامة يبقى واحد زائد sine اتنين ثيتا زائد DR على D ثيتا لكل تربية لو cosine تربية اتنين ثيتا على واحد زائد sine اتنين ثيتا كله بالنسبة إلى D ثيتا", "tokens": [1211, 39184, 497, 6055, 25513, 10632, 4724, 28814, 1863, 8315, 8717, 32887, 5016, 34892, 16758, 27884, 11778, 1829, 12399, 45164, 12602, 16758, 3615, 8315, 23758, 12399, 11933, 1829, 8592, 4724, 1829, 5016, 36520, 22807, 25724, 8848, 2288, 20449, 21136, 37440, 3660, 7251, 3555, 4587, 7578, 36764, 24401, 30767, 16373, 3215, 18609, 1975, 2655, 1863, 9957, 38637, 36081, 995, 30767, 16373, 3215, 12118, 15844, 413, 38637, 36081, 995, 5296, 28820, 6055, 25513, 10632, 45164, 23565, 6055, 25513, 10632, 1975, 2655, 1863, 9957, 38637, 36081, 995, 15844, 36764, 24401, 30767, 16373, 3215, 18609, 1975, 2655, 1863, 9957, 38637, 36081, 995, 28242, 3224, 20666, 1863, 35457, 3660, 30731, 413, 38637, 36081, 995], "avg_logprob": -0.2541193130341443, "compression_ratio": 1.9170984455958548, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 2378.23, "end": 2378.69, "word": "لـ", "probability": 0.32861328125}, {"start": 2378.69, "end": 2378.89, "word": " R", "probability": 0.285400390625}, {"start": 2378.89, "end": 2379.65, "word": " تربية", "probability": 0.7154947916666666}, {"start": 2379.65, "end": 2380.41, "word": " بإننا", "probability": 0.454833984375}, {"start": 2380.41, "end": 2380.63, "word": " نروح", "probability": 0.7841796875}, {"start": 2380.63, "end": 2381.13, "word": " الرابعة", "probability": 0.552734375}, {"start": 2381.13, "end": 2381.33, "word": " دي،", "probability": 0.5899251302083334}, {"start": 2381.33, "end": 2381.47, "word": " لو", "probability": 0.94091796875}, {"start": 2381.47, "end": 2381.93, "word": " رابعنا", "probability": 0.85736083984375}, {"start": 2381.93, "end": 2382.17, "word": " هذا،", "probability": 0.5401611328125}, {"start": 2382.17, "end": 2382.23, "word": " إيش", "probability": 0.7347005208333334}, {"start": 2382.23, "end": 2383.11, "word": " بيحصل؟", "probability": 0.9267578125}, {"start": 2383.11, "end": 2384.31, "word": " الجذر", "probability": 0.7879231770833334}, {"start": 2384.31, "end": 2384.63, "word": " مع", "probability": 0.90673828125}, {"start": 2384.63, "end": 2386.07, "word": " السلامة", "probability": 0.9729817708333334}, {"start": 2386.07, "end": 2386.73, "word": " يبقى", "probability": 0.9110107421875}, {"start": 2386.73, "end": 2387.63, "word": " واحد", "probability": 0.7113037109375}, {"start": 2387.63, "end": 2388.67, "word": " زائد", "probability": 0.9192708333333334}, {"start": 2388.67, "end": 2389.65, "word": " sine", "probability": 0.17626953125}, {"start": 2389.65, "end": 2391.51, "word": " اتنين", "probability": 0.8848876953125}, {"start": 2391.51, "end": 2392.21, "word": " ثيتا", "probability": 0.7247721354166666}, {"start": 2392.21, "end": 2393.57, "word": " زائد", "probability": 0.9309895833333334}, {"start": 2393.57, "end": 2394.49, "word": " DR", "probability": 0.65966796875}, {"start": 2394.49, "end": 2394.83, "word": " على", "probability": 0.79248046875}, {"start": 2394.83, "end": 2395.09, "word": " D", "probability": 0.88134765625}, {"start": 2395.09, "end": 2395.51, "word": " ثيتا", "probability": 0.7384440104166666}, {"start": 2395.51, "end": 2395.93, "word": " لكل", "probability": 0.969482421875}, {"start": 2395.93, "end": 2396.59, "word": " تربية", "probability": 0.9777018229166666}, {"start": 2396.59, "end": 2397.27, "word": " لو", "probability": 0.5791015625}, {"start": 2397.27, "end": 2397.83, "word": " cosine", "probability": 0.59521484375}, {"start": 2397.83, "end": 2398.55, "word": " تربية", "probability": 0.8893229166666666}, {"start": 2398.55, "end": 2399.33, "word": " اتنين", "probability": 0.9810791015625}, {"start": 2399.33, "end": 2400.11, "word": " ثيتا", "probability": 0.9480794270833334}, {"start": 2400.11, "end": 2400.71, "word": " على", "probability": 0.81640625}, {"start": 2400.71, "end": 2401.33, "word": " واحد", "probability": 0.990234375}, {"start": 2401.33, "end": 2401.89, "word": " زائد", "probability": 0.9892578125}, {"start": 2401.89, "end": 2402.47, "word": " sine", "probability": 0.82421875}, {"start": 2402.47, "end": 2403.15, "word": " اتنين", "probability": 0.9805908203125}, {"start": 2403.15, "end": 2403.99, "word": " ثيتا", "probability": 0.96435546875}, {"start": 2403.99, "end": 2404.89, "word": " كله", "probability": 0.83984375}, {"start": 2404.89, "end": 2405.67, "word": " بالنسبة", "probability": 0.997802734375}, {"start": 2405.67, "end": 2406.13, "word": " إلى", "probability": 0.53369140625}, {"start": 2406.13, "end": 2406.73, "word": " D", "probability": 0.97412109375}, {"start": 2406.73, "end": 2407.45, "word": " ثيتا", "probability": 0.9070638020833334}], "temperature": 1.0}, {"id": 101, "seek": 242619, "start": 2408.9, "end": 2426.2, "text": "يساوي تكامل من Zero لغاية Pi جذري اتنين للجذر التربيهي بدا واحد له المقامات كله مرة واحدة يبقى له مقام كل واحد زائد Sine اتنين ثتا", "tokens": [1829, 3794, 995, 45865, 6055, 4117, 10943, 1211, 9154, 17182, 5296, 17082, 995, 10632, 17741, 10874, 8848, 16572, 1975, 2655, 1863, 9957, 24976, 7435, 8848, 2288, 16712, 2288, 21292, 3224, 1829, 4724, 28259, 36764, 24401, 46740, 9673, 4587, 10943, 9307, 28242, 3224, 3714, 25720, 36764, 24401, 3660, 7251, 3555, 4587, 7578, 46740, 3714, 4587, 10943, 28242, 36764, 24401, 30767, 16373, 3215, 318, 533, 1975, 2655, 1863, 9957, 38637, 2655, 995], "avg_logprob": -0.2605633794421881, "compression_ratio": 1.5410958904109588, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2408.9, "end": 2409.94, "word": "يساوي", "probability": 0.763916015625}, {"start": 2409.94, "end": 2411.28, "word": " تكامل", "probability": 0.951171875}, {"start": 2411.28, "end": 2412.04, "word": " من", "probability": 0.97314453125}, {"start": 2412.04, "end": 2412.42, "word": " Zero", "probability": 0.1724853515625}, {"start": 2412.42, "end": 2413.1, "word": " لغاية", "probability": 0.962890625}, {"start": 2413.1, "end": 2413.54, "word": " Pi", "probability": 0.460693359375}, {"start": 2413.54, "end": 2414.24, "word": " جذري", "probability": 0.7389322916666666}, {"start": 2414.24, "end": 2414.88, "word": " اتنين", "probability": 0.8248291015625}, {"start": 2414.88, "end": 2416.04, "word": " للجذر", "probability": 0.769287109375}, {"start": 2416.04, "end": 2416.66, "word": " التربيهي", "probability": 0.74833984375}, {"start": 2416.66, "end": 2416.92, "word": " بدا", "probability": 0.317169189453125}, {"start": 2416.92, "end": 2417.38, "word": " واحد", "probability": 0.69580078125}, {"start": 2417.38, "end": 2417.54, "word": " له", "probability": 0.330322265625}, {"start": 2417.54, "end": 2418.6, "word": " المقامات", "probability": 0.98681640625}, {"start": 2418.6, "end": 2419.18, "word": " كله", "probability": 0.825439453125}, {"start": 2419.18, "end": 2419.9, "word": " مرة", "probability": 0.962646484375}, {"start": 2419.9, "end": 2420.96, "word": " واحدة", "probability": 0.9661458333333334}, {"start": 2420.96, "end": 2421.94, "word": " يبقى", "probability": 0.941162109375}, {"start": 2421.94, "end": 2422.08, "word": " له", "probability": 0.67236328125}, {"start": 2422.08, "end": 2422.76, "word": " مقام", "probability": 0.9544270833333334}, {"start": 2422.76, "end": 2423.08, "word": " كل", "probability": 0.97900390625}, {"start": 2423.08, "end": 2423.8, "word": " واحد", "probability": 0.997314453125}, {"start": 2423.8, "end": 2424.4, "word": " زائد", "probability": 0.9205729166666666}, {"start": 2424.4, "end": 2424.96, "word": " Sine", "probability": 0.5662841796875}, {"start": 2424.96, "end": 2425.64, "word": " اتنين", "probability": 0.9007568359375}, {"start": 2425.64, "end": 2426.2, "word": " ثتا", "probability": 0.7457682291666666}], "temperature": 1.0}, {"id": 102, "seek": 245440, "start": 2426.88, "end": 2454.4, "text": "هذا باعتباره كله على واحد يبقى بصير هذا كله تربيع بدي افكه يبقى واحد زائد اتنين sin اتنين ثيتا زائد sin تربيع اتنين ثيتا وعندي كمان هنا من زائد cosine تربيع اتنين ثيتا وكل هذا بالنسبة لمن الى d ثيتا", "tokens": [3224, 15730, 4724, 995, 34268, 3555, 9640, 3224, 28242, 3224, 15844, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 23758, 28242, 3224, 6055, 2288, 21292, 3615, 4724, 16254, 1975, 5172, 4117, 3224, 7251, 3555, 4587, 7578, 36764, 24401, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 3343, 1975, 2655, 1863, 9957, 38637, 36081, 995, 30767, 16373, 3215, 3343, 6055, 2288, 21292, 3615, 1975, 2655, 1863, 9957, 38637, 36081, 995, 4032, 3615, 1863, 16254, 9122, 2304, 7649, 34105, 9154, 30767, 16373, 3215, 23565, 6055, 2288, 21292, 3615, 1975, 2655, 1863, 9957, 38637, 36081, 995, 4032, 28820, 23758, 20666, 1863, 35457, 3660, 5296, 27842, 2423, 7578, 274, 38637, 36081, 995], "avg_logprob": -0.15954701506763425, "compression_ratio": 2.023529411764706, "no_speech_prob": 0.0, "words": [{"start": 2426.88, "end": 2427.78, "word": "هذا", "probability": 0.8046875}, {"start": 2427.78, "end": 2428.42, "word": " باعتباره", "probability": 0.9031575520833334}, {"start": 2428.42, "end": 2428.78, "word": " كله", "probability": 0.967041015625}, {"start": 2428.78, "end": 2428.96, "word": " على", "probability": 0.91552734375}, {"start": 2428.96, "end": 2429.52, "word": " واحد", "probability": 0.9443359375}, {"start": 2429.52, "end": 2429.92, "word": " يبقى", "probability": 0.9344482421875}, {"start": 2429.92, "end": 2430.4, "word": " بصير", "probability": 0.93017578125}, {"start": 2430.4, "end": 2430.8, "word": " هذا", "probability": 0.9423828125}, {"start": 2430.8, "end": 2431.38, "word": " كله", "probability": 0.97900390625}, {"start": 2431.38, "end": 2431.94, "word": " تربيع", "probability": 0.899169921875}, {"start": 2431.94, "end": 2432.78, "word": " بدي", "probability": 0.4105224609375}, {"start": 2432.78, "end": 2433.56, "word": " افكه", "probability": 0.8388671875}, {"start": 2433.56, "end": 2434.46, "word": " يبقى", "probability": 0.9754638671875}, {"start": 2434.46, "end": 2435.08, "word": " واحد", "probability": 0.877685546875}, {"start": 2435.08, "end": 2435.94, "word": " زائد", "probability": 0.765625}, {"start": 2435.94, "end": 2436.78, "word": " اتنين", "probability": 0.9686279296875}, {"start": 2436.78, "end": 2437.78, "word": " sin", "probability": 0.458740234375}, {"start": 2437.78, "end": 2438.76, "word": " اتنين", "probability": 0.9111328125}, {"start": 2438.76, "end": 2439.72, "word": " ثيتا", "probability": 0.6385091145833334}, {"start": 2439.72, "end": 2441.14, "word": " زائد", "probability": 0.962890625}, {"start": 2441.14, "end": 2442.06, "word": " sin", "probability": 0.828125}, {"start": 2442.06, "end": 2443.4, "word": " تربيع", "probability": 0.9024658203125}, {"start": 2443.4, "end": 2444.32, "word": " اتنين", "probability": 0.9842529296875}, {"start": 2444.32, "end": 2444.72, "word": " ثيتا", "probability": 0.9521484375}, {"start": 2444.72, "end": 2445.18, "word": " وعندي", "probability": 0.93994140625}, {"start": 2445.18, "end": 2445.56, "word": " كمان", "probability": 0.9684244791666666}, {"start": 2445.56, "end": 2445.8, "word": " هنا", "probability": 0.9599609375}, {"start": 2445.8, "end": 2446.18, "word": " من", "probability": 0.292724609375}, {"start": 2446.18, "end": 2447.58, "word": " زائد", "probability": 0.93896484375}, {"start": 2447.58, "end": 2448.28, "word": " cosine", "probability": 0.484130859375}, {"start": 2448.28, "end": 2449.14, "word": " تربيع", "probability": 0.9505615234375}, {"start": 2449.14, "end": 2449.7, "word": " اتنين", "probability": 0.9893798828125}, {"start": 2449.7, "end": 2450.52, "word": " ثيتا", "probability": 0.9498697916666666}, {"start": 2450.52, "end": 2451.36, "word": " وكل", "probability": 0.949951171875}, {"start": 2451.36, "end": 2451.78, "word": " هذا", "probability": 0.9228515625}, {"start": 2451.78, "end": 2452.34, "word": " بالنسبة", "probability": 0.854248046875}, {"start": 2452.34, "end": 2452.88, "word": " لمن", "probability": 0.674072265625}, {"start": 2452.88, "end": 2453.74, "word": " الى", "probability": 0.6370849609375}, {"start": 2453.74, "end": 2453.88, "word": " d", "probability": 0.52880859375}, {"start": 2453.88, "end": 2454.4, "word": " ثيتا", "probability": 0.8125}], "temperature": 1.0}, {"id": 103, "seek": 248221, "start": 2454.79, "end": 2482.21, "text": "يبقى بده يساوي تكامل من zero ل by جذر اتنين للجذر التربيعي طلعلي هذا sin تربيع زاد cos تربيع وكعندي كمان واحد يصير اتنين يبقى اتنين زائد اتنين sin اتنين ثيتا على واحد زائد sin اتنين ثيتا كله بالنسبة الى d ثيتا", "tokens": [1829, 3555, 4587, 7578, 47525, 3224, 7251, 3794, 995, 45865, 6055, 4117, 10943, 1211, 9154, 4018, 5296, 538, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 24976, 7435, 8848, 2288, 16712, 2288, 21292, 3615, 1829, 23032, 1211, 3615, 20292, 23758, 3343, 6055, 2288, 21292, 3615, 30767, 18513, 3792, 6055, 2288, 21292, 3615, 4032, 4117, 3615, 1863, 16254, 9122, 2304, 7649, 36764, 24401, 7251, 9381, 13546, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 3343, 1975, 2655, 1863, 9957, 38637, 36081, 995, 15844, 36764, 24401, 30767, 16373, 3215, 3343, 1975, 2655, 1863, 9957, 38637, 36081, 995, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 274, 38637, 36081, 995], "avg_logprob": -0.24006885732129468, "compression_ratio": 1.914438502673797, "no_speech_prob": 0.0, "words": [{"start": 2454.79, "end": 2455.37, "word": "يبقى", "probability": 0.813720703125}, {"start": 2455.37, "end": 2455.93, "word": " بده", "probability": 0.5323486328125}, {"start": 2455.93, "end": 2456.27, "word": " يساوي", "probability": 0.7899169921875}, {"start": 2456.27, "end": 2457.15, "word": " تكامل", "probability": 0.935791015625}, {"start": 2457.15, "end": 2457.45, "word": " من", "probability": 0.9892578125}, {"start": 2457.45, "end": 2457.75, "word": " zero", "probability": 0.445556640625}, {"start": 2457.75, "end": 2458.03, "word": " ل", "probability": 0.88134765625}, {"start": 2458.03, "end": 2458.75, "word": " by", "probability": 0.1739501953125}, {"start": 2458.75, "end": 2459.57, "word": " جذر", "probability": 0.6985677083333334}, {"start": 2459.57, "end": 2460.31, "word": " اتنين", "probability": 0.900634765625}, {"start": 2460.31, "end": 2461.63, "word": " للجذر", "probability": 0.9161376953125}, {"start": 2461.63, "end": 2462.47, "word": " التربيعي", "probability": 0.7095703125}, {"start": 2462.47, "end": 2463.09, "word": " طلعلي", "probability": 0.7255859375}, {"start": 2463.09, "end": 2463.39, "word": " هذا", "probability": 0.416259765625}, {"start": 2463.39, "end": 2464.51, "word": " sin", "probability": 0.265625}, {"start": 2464.51, "end": 2465.17, "word": " تربيع", "probability": 0.802978515625}, {"start": 2465.17, "end": 2465.47, "word": " زاد", "probability": 0.776123046875}, {"start": 2465.47, "end": 2465.67, "word": " cos", "probability": 0.54833984375}, {"start": 2465.67, "end": 2466.55, "word": " تربيع", "probability": 0.954833984375}, {"start": 2466.55, "end": 2467.85, "word": " وكعندي", "probability": 0.6450927734375}, {"start": 2467.85, "end": 2468.29, "word": " كمان", "probability": 0.9583333333333334}, {"start": 2468.29, "end": 2469.03, "word": " واحد", "probability": 0.9775390625}, {"start": 2469.03, "end": 2469.63, "word": " يصير", "probability": 0.503173828125}, {"start": 2469.63, "end": 2470.23, "word": " اتنين", "probability": 0.97607421875}, {"start": 2470.23, "end": 2471.49, "word": " يبقى", "probability": 0.976318359375}, {"start": 2471.49, "end": 2472.21, "word": " اتنين", "probability": 0.9552001953125}, {"start": 2472.21, "end": 2472.95, "word": " زائد", "probability": 0.8924153645833334}, {"start": 2472.95, "end": 2473.81, "word": " اتنين", "probability": 0.9942626953125}, {"start": 2473.81, "end": 2474.43, "word": " sin", "probability": 0.70849609375}, {"start": 2474.43, "end": 2475.19, "word": " اتنين", "probability": 0.9639892578125}, {"start": 2475.19, "end": 2475.97, "word": " ثيتا", "probability": 0.6930338541666666}, {"start": 2475.97, "end": 2476.71, "word": " على", "probability": 0.65869140625}, {"start": 2476.71, "end": 2477.29, "word": " واحد", "probability": 0.981201171875}, {"start": 2477.29, "end": 2477.89, "word": " زائد", "probability": 0.978515625}, {"start": 2477.89, "end": 2478.45, "word": " sin", "probability": 0.9150390625}, {"start": 2478.45, "end": 2479.19, "word": " اتنين", "probability": 0.9813232421875}, {"start": 2479.19, "end": 2479.97, "word": " ثيتا", "probability": 0.9557291666666666}, {"start": 2479.97, "end": 2480.61, "word": " كله", "probability": 0.823974609375}, {"start": 2480.61, "end": 2481.23, "word": " بالنسبة", "probability": 0.9873046875}, {"start": 2481.23, "end": 2481.57, "word": " الى", "probability": 0.55682373046875}, {"start": 2481.57, "end": 2481.71, "word": " d", "probability": 0.69189453125}, {"start": 2481.71, "end": 2482.21, "word": " ثيتا", "probability": 0.8155924479166666}], "temperature": 1.0}, {"id": 104, "seek": 250617, "start": 2482.8, "end": 2506.18, "text": "يبقى دي بدها تساوي تكامل من zero ل by جذر اتنين للجذر التربيهي بداخد اتنين عامل مشترك، كدهش بيضل واحد زاد صين اتنين ثيتا علي واحد زاد، مع السلامة بيضلش الا جذر اتنين فقط كله بالنسبة الى d ثيتا", "tokens": [1829, 3555, 4587, 7578, 11778, 1829, 47525, 11296, 6055, 3794, 995, 45865, 6055, 4117, 10943, 1211, 9154, 4018, 5296, 538, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 24976, 7435, 8848, 2288, 16712, 2288, 21292, 3224, 1829, 47525, 47283, 3215, 1975, 2655, 1863, 9957, 6225, 10943, 1211, 37893, 2655, 31747, 12399, 9122, 3215, 3224, 8592, 4724, 1829, 11242, 1211, 36764, 24401, 30767, 18513, 20328, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 25894, 36764, 24401, 30767, 18513, 12399, 20449, 21136, 37440, 3660, 4724, 1829, 11242, 1211, 8592, 42963, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 6156, 47432, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 274, 38637, 36081, 995], "avg_logprob": -0.25186353101642855, "compression_ratio": 1.8626373626373627, "no_speech_prob": 0.0, "words": [{"start": 2482.8, "end": 2483.56, "word": "يبقى", "probability": 0.8211669921875}, {"start": 2483.56, "end": 2483.98, "word": " دي", "probability": 0.638916015625}, {"start": 2483.98, "end": 2484.36, "word": " بدها", "probability": 0.7034912109375}, {"start": 2484.36, "end": 2485.08, "word": " تساوي", "probability": 0.9351806640625}, {"start": 2485.08, "end": 2486.22, "word": " تكامل", "probability": 0.9808349609375}, {"start": 2486.22, "end": 2486.98, "word": " من", "probability": 0.98193359375}, {"start": 2486.98, "end": 2487.38, "word": " zero", "probability": 0.337158203125}, {"start": 2487.38, "end": 2487.6, "word": " ل", "probability": 0.94873046875}, {"start": 2487.6, "end": 2488.06, "word": " by", "probability": 0.329833984375}, {"start": 2488.06, "end": 2488.8, "word": " جذر", "probability": 0.9049479166666666}, {"start": 2488.8, "end": 2489.48, "word": " اتنين", "probability": 0.89697265625}, {"start": 2489.48, "end": 2490.74, "word": " للجذر", "probability": 0.86279296875}, {"start": 2490.74, "end": 2491.78, "word": " التربيهي", "probability": 0.6595703125}, {"start": 2491.78, "end": 2492.44, "word": " بداخد", "probability": 0.5227864583333334}, {"start": 2492.44, "end": 2492.94, "word": " اتنين", "probability": 0.988037109375}, {"start": 2492.94, "end": 2493.4, "word": " عامل", "probability": 0.9886067708333334}, {"start": 2493.4, "end": 2494.0, "word": " مشترك،", "probability": 0.82659912109375}, {"start": 2494.0, "end": 2494.34, "word": " كدهش", "probability": 0.60516357421875}, {"start": 2494.34, "end": 2494.86, "word": " بيضل", "probability": 0.71142578125}, {"start": 2494.86, "end": 2495.92, "word": " واحد", "probability": 0.674560546875}, {"start": 2495.92, "end": 2496.14, "word": " زاد", "probability": 0.6326904296875}, {"start": 2496.14, "end": 2496.54, "word": " صين", "probability": 0.5775146484375}, {"start": 2496.54, "end": 2496.9, "word": " اتنين", "probability": 0.9830322265625}, {"start": 2496.9, "end": 2497.22, "word": " ثيتا", "probability": 0.7958984375}, {"start": 2497.22, "end": 2497.36, "word": " علي", "probability": 0.414794921875}, {"start": 2497.36, "end": 2497.66, "word": " واحد", "probability": 0.990478515625}, {"start": 2497.66, "end": 2498.82, "word": " زاد،", "probability": 0.8107096354166666}, {"start": 2498.82, "end": 2499.04, "word": " مع", "probability": 0.865234375}, {"start": 2499.04, "end": 2499.7, "word": " السلامة", "probability": 0.9352213541666666}, {"start": 2499.7, "end": 2500.16, "word": " بيضلش", "probability": 0.84091796875}, {"start": 2500.16, "end": 2500.42, "word": " الا", "probability": 0.54345703125}, {"start": 2500.42, "end": 2501.1, "word": " جذر", "probability": 0.9884440104166666}, {"start": 2501.1, "end": 2502.22, "word": " اتنين", "probability": 0.9940185546875}, {"start": 2502.22, "end": 2503.46, "word": " فقط", "probability": 0.990234375}, {"start": 2503.46, "end": 2504.22, "word": " كله", "probability": 0.850341796875}, {"start": 2504.22, "end": 2505.06, "word": " بالنسبة", "probability": 0.9942626953125}, {"start": 2505.06, "end": 2505.48, "word": " الى", "probability": 0.6593017578125}, {"start": 2505.48, "end": 2505.66, "word": " d", "probability": 0.5361328125}, {"start": 2505.66, "end": 2506.18, "word": " ثيتا", "probability": 0.8092447916666666}], "temperature": 1.0}, {"id": 105, "seek": 253232, "start": 2506.68, "end": 2532.32, "text": "يبقى النتيجة جذر اتنين ثيتا والكلام هذا من zero لغاية by جذر اتنين هو يسوى جذر اتنين في by جذر اتنين ناقص zero يبقى الجواب قداشر اتنين by اللي هو طول المنحدر", "tokens": [1829, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 38637, 36081, 995, 16070, 28820, 10943, 23758, 9154, 4018, 5296, 17082, 995, 10632, 538, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 31439, 7251, 3794, 2407, 7578, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 8978, 538, 10874, 8848, 2288, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 4018, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 12174, 3215, 33599, 2288, 1975, 2655, 1863, 9957, 538, 13672, 1829, 31439, 23032, 12610, 9673, 1863, 24401, 2288], "avg_logprob": -0.1517223050309853, "compression_ratio": 1.8551724137931034, "no_speech_prob": 0.0, "words": [{"start": 2506.68, "end": 2507.34, "word": "يبقى", "probability": 0.9005126953125}, {"start": 2507.34, "end": 2508.26, "word": " النتيجة", "probability": 0.9365234375}, {"start": 2508.26, "end": 2509.0, "word": " جذر", "probability": 0.8025716145833334}, {"start": 2509.0, "end": 2509.82, "word": " اتنين", "probability": 0.83746337890625}, {"start": 2509.82, "end": 2510.64, "word": " ثيتا", "probability": 0.822265625}, {"start": 2510.64, "end": 2511.72, "word": " والكلام", "probability": 0.8372395833333334}, {"start": 2511.72, "end": 2512.1, "word": " هذا", "probability": 0.8330078125}, {"start": 2512.1, "end": 2512.36, "word": " من", "probability": 0.96337890625}, {"start": 2512.36, "end": 2512.7, "word": " zero", "probability": 0.451171875}, {"start": 2512.7, "end": 2513.48, "word": " لغاية", "probability": 0.9610595703125}, {"start": 2513.48, "end": 2514.24, "word": " by", "probability": 0.361083984375}, {"start": 2514.24, "end": 2515.52, "word": " جذر", "probability": 0.9876302083333334}, {"start": 2515.52, "end": 2516.36, "word": " اتنين", "probability": 0.9896240234375}, {"start": 2516.36, "end": 2516.88, "word": " هو", "probability": 0.50244140625}, {"start": 2516.88, "end": 2517.62, "word": " يسوى", "probability": 0.8502197265625}, {"start": 2517.62, "end": 2518.34, "word": " جذر", "probability": 0.9884440104166666}, {"start": 2518.34, "end": 2519.16, "word": " اتنين", "probability": 0.9921875}, {"start": 2519.16, "end": 2519.98, "word": " في", "probability": 0.9453125}, {"start": 2519.98, "end": 2521.32, "word": " by", "probability": 0.88916015625}, {"start": 2521.32, "end": 2522.62, "word": " جذر", "probability": 0.9763997395833334}, {"start": 2522.62, "end": 2523.42, "word": " اتنين", "probability": 0.9937744140625}, {"start": 2523.42, "end": 2525.04, "word": " ناقص", "probability": 0.9188232421875}, {"start": 2525.04, "end": 2525.9, "word": " zero", "probability": 0.82470703125}, {"start": 2525.9, "end": 2527.34, "word": " يبقى", "probability": 0.977783203125}, {"start": 2527.34, "end": 2527.8, "word": " الجواب", "probability": 0.9339192708333334}, {"start": 2527.8, "end": 2528.86, "word": " قداشر", "probability": 0.6572265625}, {"start": 2528.86, "end": 2529.6, "word": " اتنين", "probability": 0.9635009765625}, {"start": 2529.6, "end": 2530.1, "word": " by", "probability": 0.91064453125}, {"start": 2530.1, "end": 2530.46, "word": " اللي", "probability": 0.594482421875}, {"start": 2530.46, "end": 2530.72, "word": " هو", "probability": 0.99560546875}, {"start": 2530.72, "end": 2531.3, "word": " طول", "probability": 0.99072265625}, {"start": 2531.3, "end": 2532.32, "word": " المنحدر", "probability": 0.65301513671875}], "temperature": 1.0}, {"id": 106, "seek": 255507, "start": 2532.77, "end": 2555.07, "text": "لحد اني أوقف إليكم أرقام المسائل الخاصة بsection 11-5 يبقى exercises 11-5 المسائل التالية من 1 ل 28 القدم", "tokens": [1211, 24401, 16472, 1829, 5551, 30543, 5172, 11933, 20292, 24793, 5551, 2288, 4587, 10943, 9673, 3794, 16373, 1211, 33962, 33546, 3660, 4724, 11963, 2975, 12, 20, 7251, 3555, 4587, 7578, 11900, 2975, 12, 20, 9673, 3794, 16373, 1211, 16712, 6027, 10632, 9154, 502, 5296, 7562, 25062, 40448], "avg_logprob": -0.32080076945324737, "compression_ratio": 1.2790697674418605, "no_speech_prob": 0.0, "words": [{"start": 2532.77, "end": 2533.39, "word": "لحد", "probability": 0.85302734375}, {"start": 2533.39, "end": 2533.61, "word": " اني", "probability": 0.25927734375}, {"start": 2533.61, "end": 2534.21, "word": " أوقف", "probability": 0.4969889322916667}, {"start": 2534.21, "end": 2534.83, "word": " إليكم", "probability": 0.7713216145833334}, {"start": 2534.83, "end": 2535.75, "word": " أرقام", "probability": 0.97802734375}, {"start": 2535.75, "end": 2537.75, "word": " المسائل", "probability": 0.8809814453125}, {"start": 2537.75, "end": 2538.67, "word": " الخاصة", "probability": 0.97314453125}, {"start": 2538.67, "end": 2539.45, "word": " بsection", "probability": 0.4832763671875}, {"start": 2539.45, "end": 2540.63, "word": " 11", "probability": 0.8359375}, {"start": 2540.63, "end": 2541.61, "word": "-5", "probability": 0.730712890625}, {"start": 2541.61, "end": 2542.79, "word": " يبقى", "probability": 0.7694091796875}, {"start": 2542.79, "end": 2544.05, "word": " exercises", "probability": 0.88134765625}, {"start": 2544.05, "end": 2546.17, "word": " 11", "probability": 0.884765625}, {"start": 2546.17, "end": 2547.37, "word": "-5", "probability": 0.93359375}, {"start": 2547.37, "end": 2550.09, "word": " المسائل", "probability": 0.9635009765625}, {"start": 2550.09, "end": 2551.51, "word": " التالية", "probability": 0.9832356770833334}, {"start": 2551.51, "end": 2552.81, "word": " من", "probability": 0.8583984375}, {"start": 2552.81, "end": 2553.15, "word": " 1", "probability": 0.96044921875}, {"start": 2553.15, "end": 2553.39, "word": " ل", "probability": 0.63720703125}, {"start": 2553.39, "end": 2554.17, "word": " 28", "probability": 0.5478515625}, {"start": 2554.17, "end": 2555.07, "word": " القدم", "probability": 0.4251708984375}], "temperature": 1.0}, {"id": 107, "seek": 257300, "start": 2568.82, "end": 2573.0, "text": "خلاص شرطات؟ اه ضايل فيه section 2 للاسبوع الجاى ان شاء الله", "tokens": [9778, 1211, 33546, 13412, 2288, 9566, 9307, 22807, 1975, 3224, 48812, 995, 26895, 8978, 3224, 3541, 568, 5296, 1211, 32277, 3555, 45367, 25724, 995, 7578, 16472, 13412, 16606, 21984], "avg_logprob": -0.43177082637945813, "compression_ratio": 1.076086956521739, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2568.82, "end": 2569.38, "word": "خلاص", "probability": 0.6891682942708334}, {"start": 2569.38, "end": 2569.94, "word": " شرطات؟", "probability": 0.6810791015625}, {"start": 2569.94, "end": 2570.18, "word": " اه", "probability": 0.77783203125}, {"start": 2570.18, "end": 2570.44, "word": " ضايل", "probability": 0.566650390625}, {"start": 2570.44, "end": 2570.72, "word": " فيه", "probability": 0.909912109375}, {"start": 2570.72, "end": 2571.0, "word": " section", "probability": 0.83642578125}, {"start": 2571.0, "end": 2571.28, "word": " 2", "probability": 0.10162353515625}, {"start": 2571.28, "end": 2571.88, "word": " للاسبوع", "probability": 0.72587890625}, {"start": 2571.88, "end": 2572.32, "word": " الجاى", "probability": 0.7216796875}, {"start": 2572.32, "end": 2572.46, "word": " ان", "probability": 0.75244140625}, {"start": 2572.46, "end": 2572.74, "word": " شاء", "probability": 0.986328125}, {"start": 2572.74, "end": 2573.0, "word": " الله", "probability": 0.9638671875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2574.048, "duration_after_vad": 2432.0765937499905}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d0b697383992bea412d0f08e9445c53a39849129
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lCcE0iJ2NZQ_raw.srt
@@ -0,0 +1,1504 @@
+1
+00:00:09,820 --> 00:00:16,020
+بسم الله الرحمن الرحيم هذا ال section يحتوي على
+
+2
+00:00:16,020 --> 00:00:21,260
+نقطتين النقطة الأولى حساب المساحة في الإحداثيات
+
+3
+00:00:21,260 --> 00:00:28,300
+القطبية والنقطة ثانية حساب طول منحنى في الإحداثيات
+
+4
+00:00:28,300 --> 00:00:33,110
+القطبيةلذلك العناون اللي احنا رفعينه الـ Areas and
+
+5
+00:00:33,110 --> 00:00:38,330
+Lengths يبقى المساحات وأطوال المنحنيات في
+
+6
+00:00:38,330 --> 00:00:44,150
+الإحداثيات القطبية هنجي نجسمه إلى نقطتين النقطة
+
+7
+00:00:44,150 --> 00:00:46,750
+الأولى اللي هي المساحات والنقطة الثانية اللي هي
+
+8
+00:00:46,750 --> 00:00:51,360
+أطوال المنحنياتخلّينا مع النقطة الأولى اللي هي ال
+
+9
+00:00:51,360 --> 00:00:57,440
+area in the plane بدنا المساحة في المستوى بقاعد
+
+10
+00:00:57,440 --> 00:01:04,380
+نحسبها بدلالة الإحداثيات القطبيةعطينا تعريفين نقرأ
+
+11
+00:01:04,380 --> 00:01:11,000
+التعريف الأول نحاول نفهمه نرسم هذه المنطقة نحددها
+
+12
+00:01:11,000 --> 00:01:15,860
+بالضبط اللي بدنا الكامل عليها فبقولي the area y
+
+13
+00:01:15,860 --> 00:01:22,280
+على اتنب رسمنا معادل منحنى r تساوي f of theta
+
+14
+00:01:22,280 --> 00:01:30,870
+نفترض جدلا ان هذا المنحنى هو r تساوي f of thetaهذه
+
+15
+00:01:30,870 --> 00:01:36,050
+معادلة المنحنة المذكورة عنها جينا رسمنا الخط θ
+
+16
+00:01:36,050 --> 00:01:41,930
+تساوي alpha فكان الخط θ تساوي alpha بالشكل هذا
+
+17
+00:01:49,570 --> 00:01:55,750
+رسمنا الخط الثاني Alpha تساوي Beta فكان هنا Theta
+
+18
+00:01:55,750 --> 00:02:02,690
+تساوي Beta إذا انحصرت مساحة ما بين المنحنى R تساوي
+
+19
+00:02:02,690 --> 00:02:08,710
+F of Theta عند وين؟ وعند نقطة الاصل مع مين؟ مع
+
+20
+00:02:08,710 --> 00:02:13,910
+الخطين المستقيمينثيتا تساوي ألف وثيتا تساوي بيتا
+
+21
+00:02:13,910 --> 00:02:20,070
+المساحة هذه هي المساحة المظلة للي حديها الرمز
+
+22
+00:02:20,070 --> 00:02:26,930
+capital Aيبقى قيمة هذه المساحة هي تكامل من Alpha
+
+23
+00:02:26,930 --> 00:02:34,650
+إلى Beta لنص R ثربية D ثيتا.يعني بنجي على معادلة
+
+24
+00:02:34,650 --> 00:02:39,010
+منحنها دوا بنردعها، نضربها في نص كامل عليها من
+
+25
+00:02:39,010 --> 00:02:44,170
+Alpha إلى Beta، بنحصل على هذه المساحة.بنقول إن
+
+26
+00:02:44,170 --> 00:02:47,150
+بنجي الحالة التانية أو التعريف التاني لو عندي
+
+27
+00:02:47,150 --> 00:02:52,830
+منحنين، مش منحنة أحد.المنحنين حصروا بينهم مساحة
+
+28
+00:02:52,830 --> 00:03:00,090
+بدي أعرف مقدار هذه المساحة فمثلا لو جينا قولنا هذا
+
+29
+00:03:00,090 --> 00:03:04,310
+theta تساوي zero وهذا theta تساوي pi على اتنين
+
+30
+00:03:04,310 --> 00:03:10,430
+رسمنا المنحنة الأول فكان المنحنة مثلا بالشكل هذا
+
+31
+00:03:10,430 --> 00:03:17,350
+يبقى هذا المنحنة اللي هو R one of thetaالورقن of
+
+32
+00:03:17,350 --> 00:03:23,390
+theta بيعطيني قيم موجبة R بتأخذ قيم موجبة وليس قيم
+
+33
+00:03:23,390 --> 00:03:30,570
+سالبة يبقى أكبر من ال zero بنفس الطريقة R اتنين of
+
+34
+00:03:30,570 --> 00:03:37,950
+theta بدي افترض ان هذا المنحنى هو R اتنين of theta
+
+35
+00:03:38,510 --> 00:03:46,170
+و رسمنا الخط ثيتا تساوي Alpha يبقى هذا ثيتا تساوي
+
+36
+00:03:46,170 --> 00:03:53,270
+Alpha وهذا الخط التاني ثيتا تساوي Betaالان
+
+37
+00:03:53,270 --> 00:03:58,470
+المنحنيين مع الخطين حصروا لي مساحة اللي هي المساحة
+
+38
+00:03:58,470 --> 00:04:06,570
+المظللة بالأسود هذه هيك اللي هسميها المساحة A قال
+
+39
+00:04:06,570 --> 00:04:14,500
+المساحة A هي عبارة عنتكامل من Alpha إلى Beta لنص
+
+40
+00:04:14,500 --> 00:04:24,210
+R2 ترابيع ناقص R1 ترابيع وكله بالنسبة لمن؟ لـDθأو
+
+41
+00:04:24,210 --> 00:04:29,970
+نص R اتنين تربية الـ Dθ التكامل عليها نقص التكامل
+
+42
+00:04:29,970 --> 00:04:35,330
+على نص R والـ Dθ تعالى نشوف هذه الرسمة، لو جاءت
+
+43
+00:04:35,330 --> 00:04:39,090
+ختة التكامل الأول يبقى بيعطيني المساحة ما بين
+
+44
+00:04:39,090 --> 00:04:44,470
+المنحنة هذاعنده نقطة ناصر المظللة والمنطقة البيضة
+
+45
+00:04:44,470 --> 00:04:50,810
+هذه تمام؟ الآن المساحة التانية هذه هي المنطقة
+
+46
+00:04:50,810 --> 00:04:55,150
+البيضة دون المظللة إذا لو طرحت اتنين اتين من بعض
+
+47
+00:04:55,150 --> 00:05:00,650
+بتبقى مين؟ المساحة المظللة يبقى هذا اللي هو
+
+48
+00:05:00,650 --> 00:05:04,570
+العلاقة اللي أطالية حد اللي يستفسر قبل أن ندخل إلى
+
+49
+00:05:04,570 --> 00:05:12,670
+الأمثلة طيب المثال الأولالمثال الأول بيقول ما ياتي
+
+50
+00:05:12,670 --> 00:05:18,950
+example one
+
+51
+00:05:18,950 --> 00:05:23,070
+بيقول
+
+52
+00:05:23,070 --> 00:05:32,710
+find the area of the region find the area of the
+
+53
+00:05:32,710 --> 00:05:37,530
+region بدنا نجداش مساحة المنطقة inside
+
+54
+00:05:48,050 --> 00:05:50,850
+داخل المنسكيت
+
+55
+00:05:55,150 --> 00:05:58,550
+اللي وصلنا من بارح طبعا في المحاضرة الماضية يوم
+
+56
+00:05:58,550 --> 00:06:06,930
+أمس اللي هو R تربيع يسوى اتنين A تربيع كوصين اتنين
+
+57
+00:06:06,930 --> 00:06:11,410
+ثيتا وال A greater than zero
+
+58
+00:06:19,110 --> 00:06:35,470
+هذه كانت في محاضرة الأمس لما
+
+59
+00:06:35,470 --> 00:06:49,070
+رسمناها
+
+60
+00:06:49,070 --> 00:06:55,880
+كانومن هنا طلع الشكل هداك يبقى هذه رسمة المنحنة
+
+61
+00:06:55,880 --> 00:07:01,060
+اللى رسمناها يوم امس طبعا المنحنة متمثل بالنسبة
+
+62
+00:07:01,060 --> 00:07:05,920
+لمحور X متمثل بالنسبة لمحور Y متمثل بالنسبة لل
+
+63
+00:07:05,920 --> 00:07:11,980
+origin كذلك طب اذا انا لو جبت مساحة ورقة واحدة فقط
+
+64
+00:07:11,980 --> 00:07:16,360
+وضربتها في اتنين بكون حصلت على المساحة المطلوبةو
+
+65
+00:07:16,360 --> 00:07:20,460
+احنا نقول له نص ورقة و نضربها في قداش اربعة نقول
+
+66
+00:07:20,460 --> 00:07:25,200
+له مظبوط برضه كلامك صح قال لي لو روحت اخدت المساحة
+
+67
+00:07:25,200 --> 00:07:32,020
+هذه فقط لغية و ان هنا ثيتا تساوي زيرو ستتغير الى
+
+68
+00:07:32,020 --> 00:07:37,740
+ثيتا ديانها لبي على اربعة لو رجعنا بنرسم لامبارح
+
+69
+00:07:37,740 --> 00:07:41,960
+رسمت في الدارهتلاقي عند الـ pi على 4 بتاخد قداش
+
+70
+00:07:41,960 --> 00:07:49,240
+القيمة صفر و عند الصفر بتاخد القيمة 2A تربيع، يعني
+
+71
+00:07:49,240 --> 00:07:57,280
+إحداثيات النقطة هذه، اللي هي 2A تربيع و Zeroبعدها
+
+72
+00:07:57,280 --> 00:08:01,000
+اللي بتوصل عند ال باي على أربعة بيصير قداش اتنين
+
+73
+00:08:01,000 --> 00:08:06,760
+في باي على أربعة بتسعين جتا تسعين بزيرو بتكون ال R
+
+74
+00:08:06,760 --> 00:08:11,420
+تساوي زيرو عند ال باي على أربعة يبقى تكامل من صفر
+
+75
+00:08:11,420 --> 00:08:17,360
+إلى باي على أربعة وضد ربع في أربعة نحصل على مين
+
+76
+00:08:17,360 --> 00:08:21,980
+على المطابق او لو بدك تاخد الورقة كلها سيكون
+
+77
+00:08:21,980 --> 00:08:30,550
+التغير manسالة باي على أربعة إلى مين إلى باي على
+
+78
+00:08:30,550 --> 00:08:34,130
+أربعة سيئا هذه والله هذه معناها مشكلة على أي حال
+
+79
+00:08:34,130 --> 00:08:38,730
+يبقى بدنا نيجي نقوله ال area المطلوبة بده يساوي
+
+80
+00:08:38,730 --> 00:08:44,790
+تكامل لنصف Alpha إلى Beta يبقى من Zero لباي على
+
+81
+00:08:44,790 --> 00:08:50,230
+أربعة يبقى هذه جابتلي ربع المساحة فبالتالي بروح
+
+82
+00:08:50,230 --> 00:08:55,690
+بضرب التكامل كله في أربعةطيب R تربيع اروح اربع هذه
+
+83
+00:08:55,690 --> 00:09:01,310
+ولا جاهزة؟ جاهزة مية المية بس لو كانت R تساوي بروح
+
+84
+00:09:01,310 --> 00:09:06,510
+اربعها لكن كونها R تربيع يبقى جاهزة وخالصة اتنين A
+
+85
+00:09:06,510 --> 00:09:11,810
+تربيع كوسين اتنين ثيتا كله بالنسبة للعميم لديه
+
+86
+00:09:11,810 --> 00:09:18,210
+ثيتا اظن اتنين مع اتنين بتروحبظل يساوي اربعة تكامل
+
+87
+00:09:18,210 --> 00:09:24,510
+من zero لغاية pi على اربعة ل cosine اتنين theta d
+
+88
+00:09:24,510 --> 00:09:31,550
+theta و بطلع ال a تربيع برا هيها بشكل انا ده اربعة
+
+89
+00:09:31,550 --> 00:09:37,980
+a تربيعهذا الكلام بده يساوي اربعة ا تربيع و تفاضل
+
+90
+00:09:37,980 --> 00:09:43,260
+cosine بsin اتنين ثيتا على اتنين و الحكي هذا من
+
+91
+00:09:43,260 --> 00:09:50,500
+zero لغاية pi على اربعة يبقى اتنين ا تربيع فيه
+
+92
+00:09:50,500 --> 00:09:56,140
+sign pi على اربعة بيضل هنا sign pi على اتنين جه
+
+93
+00:09:56,140 --> 00:10:03,100
+تسعين بواحد ناقص zero يبقى الجواب اتنين ا تربيع
+
+94
+00:10:05,730 --> 00:10:10,450
+طيب هذا سؤال مباشر مافيش فيه فكرة إلا تحديد حدود
+
+95
+00:10:10,450 --> 00:10:18,170
+التكامل نتقل الكل شوية يبقى example 2 example 2
+
+96
+00:10:18,170 --> 00:10:22,970
+بيقول ما ي define the area of the region find the
+
+97
+00:10:22,970 --> 00:10:32,870
+area of the region بدنا مساحة المنطقة نمرى ايه؟
+
+98
+00:10:42,870 --> 00:11:00,930
+R يساوي اتنين نقص
+
+99
+00:11:00,930 --> 00:11:14,850
+اتنين في cos زاوية ثتانمرى بيه inside the circle
+
+100
+00:11:14,850 --> 00:11:24,070
+داخل الدائرة and outside the cardioid
+
+101
+00:11:53,420 --> 00:11:57,120
+بنرجع لسؤالنا مرة ثانية بيقول لي هاتلي مساحة
+
+102
+00:11:57,120 --> 00:12:02,980
+المنطقة المرأة أحد المحصورة بين الدائرة R تساوي
+
+103
+00:12:02,980 --> 00:12:08,080
+اتنين والكاردويد R يساوي اتنين نقص اتنين كوساين
+
+104
+00:12:08,080 --> 00:12:12,880
+الزاوية ثتا الأمر الثاني بيبقى المساحة اللي موجودة
+
+105
+00:12:12,880 --> 00:12:18,020
+داخل الدائرة وخارج الكاردويد يبقى هدول سالم
+
+106
+00:12:18,020 --> 00:12:23,120
+والفاصلين عن بعض تماما يبقى أول خطوة بدنا نعملها
+
+107
+00:12:23,530 --> 00:12:28,150
+بدنا نروح نجيب نقاط التقاطة مدن فين حصار ما بين
+
+108
+00:12:28,150 --> 00:12:32,230
+الاتنين، معناته بدنا نجيب نقاط التقاطة كيف بقين
+
+109
+00:12:32,230 --> 00:12:36,510
+نجيب نقاط التقاطة بين منحنيين في الأحداثيات
+
+110
+00:12:36,510 --> 00:12:41,050
+الكارتيزية؟ بسويهم بعض، و هنا نفس القصة، بروح
+
+111
+00:12:41,050 --> 00:12:45,590
+بنسوي المنحنيين ببعض، إذا لو سويتهم ببعض، بصير عند
+
+112
+00:12:45,590 --> 00:12:51,510
+مين هنا؟ اتنين ناقص اتنين كوسين اتنين ثيتا، بده
+
+113
+00:12:51,510 --> 00:12:57,020
+يساوي اتنينأو ان شيرتم فاقولوا اتنين كوصاين ثيتا
+
+114
+00:12:57,020 --> 00:13:00,840
+بده يساوي قداش؟ Zero بده اجيب هذا هنا وهذا على
+
+115
+00:13:00,840 --> 00:13:07,380
+الناحية التانية ومنها كوصاين ثيتا بده يساوي Zero
+
+116
+00:13:07,380 --> 00:13:11,580
+يبقى هذا معناته ان ثيتا تساوي من الزرع اللي جيب
+
+117
+00:13:11,580 --> 00:13:17,630
+تماما يساوي صفرزائد او ناقص باى على اتنين يبقى
+
+118
+00:13:17,630 --> 00:13:24,950
+زائد او ناقص باى على اتنين تمام اذا عند الرسم بدي
+
+119
+00:13:24,950 --> 00:13:29,490
+الاحظ هذا الكلام بدي تقطع عند الزاوية اللى بتبقى
+
+120
+00:13:29,490 --> 00:13:33,910
+باى على اتنين طيب سؤال قداش بتكون R؟
+
+121
+00:13:36,530 --> 00:13:42,730
+النقطة الاساسية للدائرة R هي R المعين للكاردويد
+
+122
+00:13:42,730 --> 00:13:47,730
+مظبوط نفس الطول فبقى R عندي يساوي اتنين ففعلا R
+
+123
+00:13:47,730 --> 00:13:50,590
+تساوي اتنين ففعلا لو جاء الكاردويد و حطنا بايع
+
+124
+00:13:50,590 --> 00:13:54,610
+اتنين او سالب بايع اتنين بيضل طول كده اتنين لان
+
+125
+00:13:54,610 --> 00:13:58,450
+كوسين صفر كوسين بايع على اتنين او سالب بايع اتنين
+
+126
+00:13:58,450 --> 00:14:05,090
+بصفر بيضلش الا اتنينيبقى التقطة هيكون عند النقطتين
+
+127
+00:14:05,090 --> 00:14:14,810
+يبقى هنا بروح بقول له that intersections تقطت at
+
+128
+00:14:14,810 --> 00:14:24,570
+the points عند النقطتين اتنين و by على اتنين and
+
+129
+00:14:24,570 --> 00:14:33,120
+اتنين و سالب by على اتنينهيبقى اتنين سالب باية على
+
+130
+00:14:33,120 --> 00:14:39,380
+اتنين لو حبينا نرسم الرسمتنا دول مشان نحدد شغلنا
+
+131
+00:14:39,380 --> 00:14:45,380
+بدقة فبجي بقول هاي المحاورالشكل اللي عندنا هذا هيك
+
+132
+00:14:45,380 --> 00:14:54,900
+وهذا θ تساوي zero وهذا θ تساوي باي على اتنين لو
+
+133
+00:14:54,900 --> 00:14:59,980
+روحنا رسمنا الكاردويد باجي بطلع مكتوب بدلالة ال
+
+134
+00:14:59,980 --> 00:15:05,050
+cosine والإشارة السلبة لمينللـ cosine إذا الرسم
+
+135
+00:15:05,050 --> 00:15:11,490
+كله جهة مين؟ جهة محور X السالم زي ما رسمنا بارح
+
+136
+00:15:11,490 --> 00:15:17,370
+بالضبط تماما يبقى الكاردويد هيأخذ الشكل التالي
+
+137
+00:15:17,370 --> 00:15:20,690
+بهذا
+
+138
+00:15:20,690 --> 00:15:28,050
+الشكل ابتدينا مين؟الدائرة مركزها على نقطة الاصل و
+
+139
+00:15:28,050 --> 00:15:34,250
+نصف قطرة هي تساوي كم؟ اتنين والتقاطع سيتم وين؟
+
+140
+00:15:34,250 --> 00:15:42,630
+التقاطع سيتم عند النقطة اللي اتنين و by على اتنين
+
+141
+00:15:44,420 --> 00:15:49,780
+إتنين وباي على اتنين يبقى هذه النقطة اللي هي اتنين
+
+142
+00:15:49,780 --> 00:15:55,960
+وباي على اتنين وهذه النقطة اللي هي اتنين وسالب باي
+
+143
+00:15:55,960 --> 00:16:01,840
+على اتنين يبقى الدائرة هتجي لنص قطرها يساوي اتنين
+
+144
+00:16:01,840 --> 00:16:09,680
+الشكل اللي عندنا هذا هيك يبقى هاي الدائرة اللي
+
+145
+00:16:09,680 --> 00:16:16,750
+عندنا تمامطيب، الان جالي بدي المساحة المطلوب الأول
+
+146
+00:16:16,750 --> 00:16:20,970
+المحصورة ما بين الاتنين، هي المساحة مين؟ ليه دي
+
+147
+00:16:20,970 --> 00:16:26,290
+عليا هذه؟ طيب، نسأل السؤال التالي، هل المنحنة
+
+148
+00:16:26,290 --> 00:16:33,520
+متمثل بالنسبة لمحور X؟كساية من البارح يبقى متماتلة
+
+149
+00:16:33,520 --> 00:16:38,000
+تمام و الدائرة متماتلة كمان يعني النصف العلوي زي
+
+150
+00:16:38,000 --> 00:16:43,360
+النصف السفلي إذا أنا لو جبت النصف العلوي للمساحة
+
+151
+00:16:43,360 --> 00:16:46,680
+المطلوبة وضربته في اتنين بكون خلصنا من الموضوع
+
+152
+00:16:46,680 --> 00:16:51,840
+تمام؟ وين المساحة اللي فوق ليه المساحة اللي عندنا
+
+153
+00:16:51,840 --> 00:16:58,800
+هذه كلها؟هذا النصف العلوي، مظبوط؟ يبقى لو ضربت هذه
+
+154
+00:16:58,800 --> 00:17:03,780
+المساحة في اتنين بيتم المطلوب طيب حدد المساحة بدقة
+
+155
+00:17:03,780 --> 00:17:11,240
+اكتر بقولك اه ايش رأيك في المساحة المظللة هذه؟ اه
+
+156
+00:17:11,240 --> 00:17:17,220
+لو جيت اخدت من النقطة هذه R و جيت طالع للمحيط هذه
+
+157
+00:17:17,220 --> 00:17:23,050
+نقطة تقع على مين؟على الكاردويد، اذا انا لو جيت
+
+158
+00:17:23,050 --> 00:17:29,850
+قولت نص R تربية وكملت عليها من عن θ تساوي zero لعن
+
+159
+00:17:29,850 --> 00:17:35,070
+θ تساوي بيعت إن بكون جيبت المساحة المظلة للصغيرة
+
+160
+00:17:35,070 --> 00:17:39,530
+هذه فقط، لا غير، صحيح ولا لا؟الان بدي اروح اجيب
+
+161
+00:17:39,530 --> 00:17:44,670
+المساحة التانية هذه هه هه انا افرجتهم عن بعض في
+
+162
+00:17:44,670 --> 00:17:50,070
+الشكل المساحة التانية هذه بدك تكامل من theta تساوي
+
+163
+00:17:50,070 --> 00:17:58,950
+ل theta تساوي كده؟ باي let me أرسم خط هيك هيك يقطع
+
+164
+00:17:58,950 --> 00:18:06,790
+المنطقة الثانية من نقطة الأصل إلى محيطالدائرة يبقى
+
+165
+00:18:06,790 --> 00:18:12,130
+المنحنى التانى هو اتنين وليس الكاردويت اذا باجي
+
+166
+00:18:12,130 --> 00:18:20,290
+بقوله ال area المطلوبة في نمرة A هي عبارة عن تكامل
+
+167
+00:18:20,290 --> 00:18:25,070
+من Alpha إلى Beta يعني من Theta تساوي Zero إلى
+
+168
+00:18:25,070 --> 00:18:31,550
+Theta تساوي Pi على اتنين لنص جينا نقول له هذا هو
+
+169
+00:18:31,550 --> 00:18:35,600
+المنحنى الكاردويتالكاردويد اللي هو اتنين ناقص
+
+170
+00:18:35,600 --> 00:18:42,640
+اتنين كوساين ثيتا يبقى اتنين ناقص اتنين كوساين
+
+171
+00:18:42,640 --> 00:18:51,660
+ثيتا لكل تربيع هذا اليزي الأول دي ثيتا زائدتكامل
+
+172
+00:18:51,660 --> 00:18:58,200
+جينا لمين للدائرة من باي على اتنين الى باي من باي
+
+173
+00:18:58,200 --> 00:19:08,260
+على اتنين الى باي لنص اتنين تربيع دي ثتر اجمل
+
+174
+00:19:08,260 --> 00:19:13,940
+مسحتين نضربها في اتنين هاي بدنا نضرب التكاملات
+
+175
+00:19:13,940 --> 00:19:21,590
+لاتنين كله في اتنين وهذه في اتنين بتم المطلببكون
+
+176
+00:19:21,590 --> 00:19:27,730
+فعلا جيبنا المساحة الكلية المطلوبة طيب نصف اتنين
+
+177
+00:19:27,730 --> 00:19:32,970
+مع السلامة يبقى بصير تكامل من zero لغاية πاي على
+
+178
+00:19:32,970 --> 00:19:39,250
+اتنين للاربعة ناقص تمانية كوصين الزاوية ثيتا زائد
+
+179
+00:19:39,250 --> 00:19:48,370
+اربعة كوصين تربية ثيتا كله في دي ثيتازائد تكامل من
+
+180
+00:19:48,370 --> 00:19:55,250
+باي على اتنين إلى باي لمن لا لاتنين دي نص مع اتنين
+
+181
+00:19:55,250 --> 00:19:56,530
+لاربعة دي ثيتا
+
+182
+00:19:59,320 --> 00:20:03,960
+يبقى هذا الكلام يساوي، إيش رايك بتاخد أربعة برا
+
+183
+00:20:03,960 --> 00:20:09,160
+عامل مشترك؟ يبقى هاي أربعة برا، بضل تكامل من zero
+
+184
+00:20:09,160 --> 00:20:14,740
+لπi على اتنين لواحد ناقص اتنين كوصين الزاوية تيتا،
+
+185
+00:20:14,740 --> 00:20:21,180
+هذه كوصين تربية ليه النص في واحدزائد كوصين اتنين
+
+186
+00:20:21,180 --> 00:20:29,980
+ثيتا كله بالنسبة الى D ثيتا وهذا زائد اربعة ثيتا
+
+187
+00:20:29,980 --> 00:20:36,330
+من باي على اتنين لغاية باييبقى النتيجة هي أربعة
+
+188
+00:20:36,330 --> 00:20:42,150
+برا وهي تكمل من zero لπاية على اتنين لواحد ناقص
+
+189
+00:20:42,150 --> 00:20:47,410
+اتنين cosine الزاوية ثيتا مش واحد بيصير و نص بجهده
+
+190
+00:20:47,410 --> 00:20:53,830
+بيصير تلاتة على اتنينواحد صحيح وهنا نص يبقى واحد و
+
+191
+00:20:53,830 --> 00:20:59,510
+نص ثلاثة على اتنين هذه نزلناها زي ما هي زائد نص
+
+192
+00:20:59,510 --> 00:21:06,510
+cosine اتنين ثيتا كله في دي ثيتا وهذه زائد اربعة
+
+193
+00:21:06,510 --> 00:21:15,210
+في باي ناقص باي على اتنينإن كامل هي أربعة برا وهي
+
+194
+00:21:15,210 --> 00:21:20,930
+تلاتة على اتنين ثيتا ناقص اتنين في ال sign الزاوية
+
+195
+00:21:20,930 --> 00:21:29,130
+ثيتا زائد sign اتنين ثيتا على أربعة كله من zero
+
+196
+00:21:29,130 --> 00:21:35,430
+لغاية باي على اتنين زائد هدا بيظل باي على اتنين في
+
+197
+00:21:35,430 --> 00:21:40,710
+أربعة اللي هو باتنين بايعوض بحدود التكامل واجمع
+
+198
+00:21:40,710 --> 00:21:48,530
+وإليك نتيجة مباشرة يبقى نتيجة التكامل هذه بيصير
+
+199
+00:21:48,530 --> 00:21:57,930
+خمسة by ناقص تمانية يساوي خمسة by ناقص تمانية هذا
+
+200
+00:21:57,930 --> 00:22:02,590
+المطلوب الأول بدنا نروح للمطلوب الثاني اللي هو
+
+201
+00:22:02,590 --> 00:22:03,430
+نمربي
+
+202
+00:22:15,990 --> 00:22:21,310
+نمرى بيه، بيقول لي ايش؟ بيقول لي بدنا المساحة اللي
+
+203
+00:22:21,310 --> 00:22:26,590
+داخل الدائرة و برا الكاردويد، هاي الكاردويد، تمام؟
+
+204
+00:22:26,590 --> 00:22:31,270
+اللي برا، يبقى المنطقة هذه، داخل الدائرة و خارج
+
+205
+00:22:31,270 --> 00:22:36,950
+مين؟ خارج الكاردويد، إذا بنفس الطريقة، بيروح أخد
+
+206
+00:22:36,950 --> 00:22:41,450
+نصها و أضربه في اتنين بسبب التماتل، إذا لو جيت
+
+207
+00:22:41,450 --> 00:22:45,090
+لهذه المنطقة المغللة كلها، هذه
+
+208
+00:22:57,400 --> 00:23:02,040
+بنزيله لغاية باية اتنين يبقى بدنا نكامل طيب بدي
+
+209
+00:23:02,040 --> 00:23:08,240
+ارسم خط من نقطة الاصل بحتي يقطع منطقتي التكامل
+
+210
+00:23:08,240 --> 00:23:16,010
+يبقى لو جيت قولت هذا الخط الأزرق الغامقهذا قط
+
+211
+00:23:16,010 --> 00:23:22,130
+الأزرق الغامق يبقى هذه تعتبر ا ر واحد وهذه تعتبر ا
+
+212
+00:23:22,130 --> 00:23:29,010
+ر اتنين وهذه theta تتغير من zero لغاية pi على
+
+213
+00:23:29,010 --> 00:23:35,830
+اتنين يبقى ال area المطلوبة يساوي اتنين في تكامل
+
+214
+00:23:35,830 --> 00:23:45,260
+من zero لغاية pi على اتنين لنص فيعارف اتنين تربية
+
+215
+00:23:45,260 --> 00:23:52,220
+ليها مساحة مين؟ دائرة، يبقى هذا اتنين لكل تربية،
+
+216
+00:23:52,220 --> 00:23:57,700
+ناقص، اراحة التربية اللي هو الكاردويد يبقى اتنين
+
+217
+00:23:57,700 --> 00:24:04,960
+ناقص اتنين cos θ لكل تربية وكل هذا بنسبة إلى مين؟
+
+218
+00:24:04,960 --> 00:24:11,920
+إلى dθهذا بده يساوي ال area ايه تساوي نص مع اتنين
+
+219
+00:24:11,920 --> 00:24:17,380
+الله يسهل عليها بظل تكمل من zero الى πاي على مين
+
+220
+00:24:17,380 --> 00:24:26,620
+باي على اتنين للاربعة ناقص كمان اربعة زائد تمانية
+
+221
+00:24:26,620 --> 00:24:35,100
+كوصين الزاوية ثيتا ناقص اربعة كوصين تربية ثيتاكله
+
+222
+00:24:35,100 --> 00:24:40,260
+بالنسبة إلى مين لديه تيتا هذه أربعة وهذه فكرتها
+
+223
+00:24:40,260 --> 00:24:48,240
+ودخلت إشارة السالب جوا يبقى صارت ناقص زائد ناقص
+
+224
+00:24:48,240 --> 00:24:53,720
+طيب الأربعتين هذول مع السلامة يبقى بظل عند مين
+
+225
+00:24:53,720 --> 00:25:03,950
+اللي هو تكاملمن 0 ل π على 2 ل 8 cos θ ناقص 4 cos
+
+226
+00:25:03,950 --> 00:25:09,910
+تربيه هذه بنفس الطريقة هي عبارة عن نصف في مين في
+
+227
+00:25:09,910 --> 00:25:16,940
+واحدزاد كوسين اتنين ثيتا كله بالنسبة الى D ثيتا
+
+228
+00:25:16,940 --> 00:25:21,480
+يبقى آلة المثلة تكامل من zero to pi على اتنين
+
+229
+00:25:21,480 --> 00:25:30,440
+لتمانية كوسين ثيتا ناقص اتنين ناقص اتنين كوسين
+
+230
+00:25:30,440 --> 00:25:37,520
+اتنين ثيتا كله بالنسبة الى D ثيتانص في أربعة
+
+231
+00:25:37,520 --> 00:25:42,420
+باتنين صار سالي باتنين و سالي باتنين cos مش ضايق
+
+232
+00:25:42,420 --> 00:25:49,420
+لإلا كامل يبقى لو كاملنا بصير تمانية sin θ ناقص
+
+233
+00:25:49,420 --> 00:25:55,620
+اتنين ثيتا ناقص sin اتنين ثيتا على اتنين بتروح مع
+
+234
+00:25:55,620 --> 00:26:01,590
+الاتنين و الكلام هذا كلهمن zero لغاية باي على
+
+235
+00:26:01,590 --> 00:26:06,710
+اتنين هو يساوي عند ال باي على اتنين بواحد يبقى
+
+236
+00:26:06,710 --> 00:26:13,610
+بتمانية وهنا ناقص اتنين في باي على اتنين هاي باي
+
+237
+00:26:13,610 --> 00:26:19,670
+على اتنين تمام وهنا ناقص باي على اتنين بصير ال
+
+238
+00:26:19,670 --> 00:26:27,780
+sign باي ب zero و بعدها zeroيبقى كله بـ zero يبقى
+
+239
+00:26:27,780 --> 00:26:33,420
+الجواب يساوي تمانية ناقص باي هذه هي المساحة
+
+240
+00:26:33,420 --> 00:26:38,320
+المطلوبة حاجة أيه اللي يستفسر هنا قبل أن نكمل؟ بس
+
+241
+00:26:38,320 --> 00:26:42,980
+اقرر اللي حددت بي اقرر بي و لا تدبس في بي مالها
+
+242
+00:26:42,980 --> 00:26:50,970
+بي؟مش انت هاي المنطقة المظلة هي منطقة التكامل،
+
+243
+00:26:50,970 --> 00:26:55,890
+يعني الأولى هذه انتهينا، يعني هذه هه، كلها انتهينا
+
+244
+00:26:55,890 --> 00:27:00,470
+منها في الحالة الأولى، هذه كلها انتهينا منها،
+
+245
+00:27:00,470 --> 00:27:08,290
+شايف؟ يبقى الخط الأزرق الغامق هذا ههكويس؟ بده يقطع
+
+246
+00:27:08,290 --> 00:27:12,130
+منطقة التكامل عند النقطة الأولى هذه صحيح ولا لا؟
+
+247
+00:27:12,130 --> 00:27:17,530
+هذه عالميا على ال cardioid صحيح ولا لا؟ يبقى هذه
+
+248
+00:27:17,530 --> 00:27:23,330
+اعتبر R الصغيرة R الكوبرة اللي هو لمن يقطع المنحنة
+
+249
+00:27:23,330 --> 00:27:27,230
+التانية عند النقطة دي اللي هي الدائرة يبقى بقول R
+
+250
+00:27:27,230 --> 00:27:33,660
+اتنين هي معادلة الدائرة وR واحد هي معادلةهذا كله
+
+251
+00:27:33,660 --> 00:27:38,440
+نقربه في اتنين بيعطينا المساحة المطلوب. حد يلغي
+
+252
+00:27:38,440 --> 00:27:40,720
+استفسار تاني؟
+
+253
+00:28:02,790 --> 00:28:08,530
+ننتقل إلى النقطة الثانية من هذا ال section وهي نمر
+
+254
+00:28:08,530 --> 00:28:20,430
+اتنين ال length of a polar curve
+
+255
+00:28:20,430 --> 00:28:29,650
+قول المنحنة في الأحداثيات القطبية definition f
+
+256
+00:28:31,160 --> 00:28:39,180
+الـ r تساوي f of theta has a continuous has a
+
+257
+00:28:39,180 --> 00:28:52,220
+continuous first derivative first derivative first
+
+258
+00:28:52,220 --> 00:29:01,470
+derivative for اللي هو thetaأكبر من أو يساوي ألف
+
+259
+00:29:01,470 --> 00:29:07,510
+أو أقل من أو يساوي Beta وإذا
+
+260
+00:29:07,510 --> 00:29:13,370
+كانت
+
+261
+00:29:13,370 --> 00:29:22,770
+النقطة R وثيتا P of R وثيتا it traces the curve
+
+262
+00:29:28,300 --> 00:29:40,340
+رسمت لي L منحنى R تساوي F of theta exactly once
+
+263
+00:29:40,340 --> 00:29:54,120
+بالضبط مرة واحدة as theta runs from alpha
+
+264
+00:29:54,120 --> 00:30:01,790
+to betathen the
+
+265
+00:30:01,790 --> 00:30:15,170
+length of the curve طول المنحنة is الو
+
+266
+00:30:15,170 --> 00:30:23,110
+يساوي تكامل من alpha إلى beta للجذر التربيعي للR
+
+267
+00:30:23,110 --> 00:30:30,680
+تربيع زائد DRعلى d theta لكل تربيع في main في d
+
+268
+00:30:30,680 --> 00:30:38,080
+theta example find
+
+269
+00:30:38,080 --> 00:30:42,100
+the
+
+270
+00:30:42,100 --> 00:30:51,340
+length of the following curves
+
+271
+00:30:53,460 --> 00:31:00,480
+بنطول كل من المنحنيات التالية نمرة a r تساوي
+
+272
+00:31:00,480 --> 00:31:09,520
+cosine تكعيب ل theta على تلاتة و theta تتغير من
+
+273
+00:31:09,520 --> 00:31:17,960
+zero لغاية pi على أربع نمرة bارتو ساوي الجدري
+
+274
+00:31:17,960 --> 00:31:29,640
+التربيعي لواحد زائد صين اتنين ثيتا وثيتا تتغير من
+
+275
+00:31:29,640 --> 00:31:32,800
+zero إلى by الجدري اتنين
+
+276
+00:32:08,100 --> 00:32:12,480
+بنجي الآن للنقطة الثانية من هذا ال section وهي
+
+277
+00:32:12,480 --> 00:32:17,640
+إيجاد طول المنحنة في الإحداثيات القطبية طبعا احنا
+
+278
+00:32:17,640 --> 00:32:22,540
+في calculus A أخدنا طول المنحنة في الإحداثيات
+
+279
+00:32:22,540 --> 00:32:27,820
+القارتزية وإذا بتذكرواكان تكامل من a إلى b الجدرى
+
+280
+00:32:27,820 --> 00:32:32,880
+التربية إلى 1 زائد dy على dx لكل تربية كله تكامل
+
+281
+00:32:32,880 --> 00:32:38,620
+بالنسبة إلى dx ما يكافف الأحداثيات القطبية هو اللي
+
+282
+00:32:38,620 --> 00:32:44,310
+عندنا هذابقول التعليف كالتالي، لو كان الـR of θ
+
+283
+00:32:44,310 --> 00:32:50,670
+إلها مشتقة أولى وهذه المشتقة متاصلة، طبعا لو ما
+
+284
+00:32:50,670 --> 00:32:55,210
+كان الملحانة ما هواش متاصل يبقى في هذه الحالة،
+
+285
+00:32:55,210 --> 00:32:59,630
+ماجدرش دي بتقول ابتدع ولا حتى ماجدر المساحة اللي
+
+286
+00:32:59,630 --> 00:33:03,470
+موجودة تحتيه ماجدرش أحسبها يبقى first derivative
+
+287
+00:33:03,470 --> 00:33:07,690
+for θ من Alpha إلى Beta and، لاحظة النقطة التانية
+
+288
+00:33:08,210 --> 00:33:13,230
+قال لو النقطة هذي P, R و θ ترسي ال curve يعني
+
+289
+00:33:13,230 --> 00:33:19,770
+رسمتلي المنحنة او بيانتلي شكل المنحنة R تساوي F of
+
+290
+00:33:19,770 --> 00:33:27,230
+θ exactly once مرة واحدة as θ runs from alpha to
+
+291
+00:33:27,230 --> 00:33:32,080
+beta لما θ بتتغير من alpha إلى betaيعني انا روحت
+
+292
+00:33:32,080 --> 00:33:35,980
+على الفترة من Alpha إلى Beta وجدت ان ارتسم المنحنى
+
+293
+00:33:35,980 --> 00:33:40,120
+مرة واحدة مش مرتين ولا تلاتة، لأن لو اعطيتك فترة
+
+294
+00:33:40,120 --> 00:33:43,780
+يمكن نرسم المنحنى مرة و نص، يمكن مرتين، يمكن
+
+295
+00:33:43,780 --> 00:33:47,600
+تلاتة، الله أعلم، فهو بيقول لي أنا بكون بدي أجيب
+
+296
+00:33:47,600 --> 00:33:52,180
+الطول، يبقى أنا ملتزم في هذه الحالة في فترة
+
+297
+00:33:52,180 --> 00:33:58,560
+مايكونش عندي إلا المنحنى مكرر مرة واحدةطيب مافيش
+
+298
+00:33:58,560 --> 00:34:03,320
+تكرار يعني بالمرة بالنسبة للمنحنة يبقى هنا باجي
+
+299
+00:34:03,320 --> 00:34:09,200
+بقول إذا النقطة دي traces دكيرة رسمت للمنحنة R
+
+300
+00:34:09,200 --> 00:34:15,220
+تساوي F of θ بضبط مرة واحدة لما كت تتغير من Alpha
+
+301
+00:34:15,220 --> 00:34:19,960
+إلى Beta يبقى طول المنحنة على هذه الفترة هو تكامل
+
+302
+00:34:19,960 --> 00:34:25,160
+من Alpha إلى Beta لR تربية زائد DR على Dθ الكل
+
+303
+00:34:25,160 --> 00:34:31,300
+تربية Dθمشان نقوم بعملية التكمل، بدنا نربع معادلة
+
+304
+00:34:31,300 --> 00:34:37,780
+المنحنة ونربع مشتقة اللي هو معادلة المنحنة، هنجي ل
+
+305
+00:34:37,780 --> 00:34:41,880
+solution ونروح
+
+306
+00:34:41,880 --> 00:34:47,000
+ناخد نمرة A، بالنسبة لنمرة A، تربيعه سهل، يبقى
+
+307
+00:34:47,000 --> 00:34:51,820
+المشكلة في اشتقاقه، بدنا نروح نشتقهيبقى باجي بقوله
+
+308
+00:34:51,820 --> 00:35:00,140
+DR على D ثيتا يساوي تلاتة cosine تربيع ثيتا على
+
+309
+00:35:00,140 --> 00:35:06,500
+تلاتة فاهمين؟ في تفاضل ال cosine اللي هو سالب sin
+
+310
+00:35:06,500 --> 00:35:13,040
+ثيتا على تلاتة ضرب مشتقة الزاوية اللي هي قداش اللي
+
+311
+00:35:13,040 --> 00:35:18,450
+هو تلتإذا قالت المسألة إلى الشكل التالي تلت مع
+
+312
+00:35:18,450 --> 00:35:24,790
+ثلاثة الله سهل عليها بظلب السالب cosine تربية ثيتا
+
+313
+00:35:24,790 --> 00:35:32,630
+ع تلاتة sin ثيتا على ثلاثةالان بدي اللى هو ال L
+
+314
+00:35:32,630 --> 00:35:40,730
+فبروح بقوله ال L يسوى تكامل من Zero لغاية Pi على
+
+315
+00:35:40,730 --> 00:35:47,370
+أربعة للجذر التربيهي R تربيه بده ربع هادي يبقى
+
+316
+00:35:47,370 --> 00:35:53,110
+لابراهيم رابعه بيصير Cos واس قداشر Cos أستة لثيتة
+
+317
+00:35:53,110 --> 00:36:01,010
+على تلاتةزائد بدنا نربع المشتقة فبصير cosine أس
+
+318
+00:36:01,010 --> 00:36:07,670
+أربعة ثيتة ع تلاتة cosine تربيع ثيتة ع تلاتة كله
+
+319
+00:36:07,670 --> 00:36:15,110
+على d ثيتا اش رايك بدي اخد cosine تربيع عامل مشترك
+
+320
+00:36:15,110 --> 00:36:20,310
+فبص cosine أس أربعة قصدك يبقى هنا اي تكامل من zero
+
+321
+00:36:20,310 --> 00:36:27,480
+لغاية pi على أربعةلمن؟ للجذر التربية يعني cos
+
+322
+00:36:27,480 --> 00:36:34,060
+أربعة ثيتة ع تلاتة عامل مشترك بظل cos تربية ثيتة
+
+323
+00:36:34,060 --> 00:36:41,380
+على تلاتة زي sin تربية ثيتة على تلاتة كله بالنسبة
+
+324
+00:36:41,380 --> 00:36:47,880
+لمن؟ ل D ثيتايبقى بده يساوي تكامل من Zero لغاية Pi
+
+325
+00:36:47,880 --> 00:36:53,100
+على أربع هذا المقدار بين ال cosine كده؟ واحد واحد
+
+326
+00:36:53,100 --> 00:36:57,460
+صحيح يا مع السلامة بضل الجذر التربيهي ل cosine أُس
+
+327
+00:36:57,460 --> 00:37:02,640
+4 يبقىقصين تربيع بس absolute value وكل كمية مربعة
+
+328
+00:37:02,640 --> 00:37:07,740
+يبقى لا معنى لل absolute value يبقى قصين تربيع
+
+329
+00:37:07,740 --> 00:37:13,200
+لثيتا على تلاتة دي ثيتا هذه بقدرش أكملها إلا
+
+330
+00:37:13,200 --> 00:37:19,440
+أكتبها بدلالة ضعف الزاوية يبقى هذه النص برا وهي
+
+331
+00:37:19,440 --> 00:37:26,060
+تكامل من zero ل pi على أربعة وهذه واحدةزائد كوصين
+
+332
+00:37:26,060 --> 00:37:32,420
+اتنين ثيتا على تلاتة كله بالنسبة الى d ثيتا يبقى
+
+333
+00:37:32,420 --> 00:37:39,520
+هاي النص برا وهي ثيتا زائد تلاتة على اتنين صين
+
+334
+00:37:39,520 --> 00:37:46,800
+اتنين ثيتا على تلاتة وهذا كله من zero لغاية pi على
+
+335
+00:37:46,800 --> 00:37:54,530
+اربععوض والنتيجة كالتالي الإجابة يا سيدي بايع
+
+336
+00:37:54,530 --> 00:38:01,430
+تمانية زائد تلات أتمام يبقى يساوي بايع على تمانية
+
+337
+00:38:01,430 --> 00:38:08,490
+زائد تلاتة على تمانيةنجل نمر بي من المثلة بنفس
+
+338
+00:38:08,490 --> 00:38:15,090
+الطريقة يبقى بي بدنا نروح نجيب DR على D ثيتا يبقى
+
+339
+00:38:15,090 --> 00:38:21,390
+R يساوي الجذر التربيه الواحد زائد صين اثنين ثيتا
+
+340
+00:38:21,390 --> 00:38:29,900
+هذا بد يعطيك انه DR على D ثيتامشتقة الجدر 1 على 2
+
+341
+00:38:29,900 --> 00:38:37,640
+الجدر يبقى 1 على 2 الجدر التربيع ل 1 زائد sin 2 θ
+
+342
+00:38:37,640 --> 00:38:44,420
+في تفاضل ما داخل الجدر تفاضل ال 1 ب 0 تفاضل ال sin
+
+343
+00:38:44,420 --> 00:38:54,870
+ب cos ضرب مشتقة الزاوية يبقى 2 cos 2 θطيب ايش رايك
+
+344
+00:38:54,870 --> 00:39:01,450
+نربعها بالمرة يبقى هذه لو روحنا ربعناها بصير DR
+
+345
+00:39:01,450 --> 00:39:09,770
+على Dθ لكل تربيع يساوي اربعة كوصين تربيع اتنين
+
+346
+00:39:09,770 --> 00:39:14,830
+ثيتا على اربعة او اتنين هذي بتروح مع اتنين من
+
+347
+00:39:14,830 --> 00:39:21,310
+الاولي و مافيش اربعات على واحد زائد صين اتنين ثيتا
+
+348
+00:39:22,160 --> 00:39:28,800
+الان بدى اروح اجيب ال length L يبقى تكامل من zero
+
+349
+00:39:28,800 --> 00:39:36,800
+لغاية by جدر اتنين للجدر
+
+350
+00:39:36,800 --> 00:39:41,470
+التربيهىلـ R تربية بإننا نروح الرابعة دي، لو
+
+351
+00:39:41,470 --> 00:39:47,630
+رابعنا هذا، إيش بيحصل؟ الجذر مع السلامة يبقى واحد
+
+352
+00:39:47,630 --> 00:39:56,590
+زائد sine اتنين ثيتا زائد DR على D ثيتا لكل تربية
+
+353
+00:39:56,590 --> 00:40:02,470
+لو cosine تربية اتنين ثيتا على واحد زائد sine
+
+354
+00:40:02,470 --> 00:40:12,040
+اتنين ثيتا كله بالنسبة إلى D ثيتايساوي تكامل من
+
+355
+00:40:12,040 --> 00:40:17,380
+Zero لغاية Pi جذري اتنين للجذر التربيهي بدا واحد
+
+356
+00:40:17,380 --> 00:40:23,800
+له المقامات كله مرة واحدة يبقى له مقام كل واحد
+
+357
+00:40:23,800 --> 00:40:29,920
+زائد Sine اتنين ثتاهذا باعتباره كله على واحد يبقى
+
+358
+00:40:29,920 --> 00:40:36,780
+بصير هذا كله تربيع بدي افكه يبقى واحد زائد اتنين
+
+359
+00:40:36,780 --> 00:40:45,180
+sin اتنين ثيتا زائد sin تربيع اتنين ثيتا وعندي
+
+360
+00:40:45,180 --> 00:40:51,780
+كمان هنا من زائد cosine تربيع اتنين ثيتا وكل هذا
+
+361
+00:40:51,780 --> 00:40:57,750
+بالنسبة لمن الى d ثيتايبقى بده يساوي تكامل من zero
+
+362
+00:40:57,750 --> 00:41:05,170
+ل by جذر اتنين للجذر التربيعي طلعلي هذا sin تربيع
+
+363
+00:41:05,170 --> 00:41:11,490
+زاد cos تربيع وكعندي كمان واحد يصير اتنين يبقى
+
+364
+00:41:11,490 --> 00:41:18,450
+اتنين زائد اتنين sin اتنين ثيتا على واحد زائد sin
+
+365
+00:41:18,450 --> 00:41:24,360
+اتنين ثيتا كله بالنسبة الى d ثيتايبقى دي بدها
+
+366
+00:41:24,360 --> 00:41:31,780
+تساوي تكامل من zero ل by جذر اتنين للجذر التربيهي
+
+367
+00:41:31,780 --> 00:41:36,540
+بداخد اتنين عامل مشترك، كدهش بيضل واحد زاد صين
+
+368
+00:41:36,540 --> 00:41:41,100
+اتنين ثيتا علي واحد زاد، مع السلامة بيضلش الا جذر
+
+369
+00:41:41,100 --> 00:41:49,000
+اتنين فقط كله بالنسبة الى d ثيتايبقى النتيجة جذر
+
+370
+00:41:49,000 --> 00:41:56,360
+اتنين ثيتا والكلام هذا من zero لغاية by جذر اتنين
+
+371
+00:41:56,360 --> 00:42:07,340
+هو يسوى جذر اتنين في by جذر اتنين ناقص zero يبقى
+
+372
+00:42:07,340 --> 00:42:13,610
+الجواب قداشر اتنين by اللي هو طول المنحدرلحد اني
+
+373
+00:42:13,610 --> 00:42:22,790
+أوقف إليكم أرقام المسائل الخاصة بsection 11-5 يبقى
+
+374
+00:42:22,790 --> 00:42:35,070
+exercises 11-5 المسائل التالية من 1 ل 28 القدم
+
+375
+00:42:48,820 --> 00:42:52,460
+خلاص شرطات؟ اه ضايل فيه section 2 للاسبوع الجاى ان
+
+376
+00:42:52,460 --> 00:42:53,000
+شاء الله
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lLbv-C3PDbo_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lLbv-C3PDbo_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9b008133b1e781e555144ea882f5e1be551ae936
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/lLbv-C3PDbo_raw.srt
@@ -0,0 +1,1672 @@
+1
+00:00:09,980 --> 00:00:15,520
+بسم الله الرحمن الرحيم المرة الماضية بدأنا في
+
+2
+00:00:15,520 --> 00:00:19,560
+حكاية ال improper integral وعرفنا ان ال improper
+
+3
+00:00:19,560 --> 00:00:25,480
+integral بتجسم الى نوعين النوع الاول لو كان احد
+
+4
+00:00:25,480 --> 00:00:31,950
+حدود التكامل او كلاهما infinityمثال ذلك تكامل على
+
+5
+00:00:31,950 --> 00:00:38,190
+f of x من a إلى infinity لل f of x dx المثال
+
+6
+00:00:38,190 --> 00:00:43,730
+الثاني من هذا
+
+7
+00:00:43,730 --> 00:00:46,110
+وهو تكامل من سلب infinity
+
+8
+00:00:49,160 --> 00:00:53,580
+المثال الثالث هو تكمل من سلب infinity إلى infinity
+
+9
+00:00:53,580 --> 00:00:58,460
+لل F of X DX وهذا ما عرفناه في المرة الماضية
+
+10
+00:00:58,460 --> 00:01:03,660
+وسمينا هذا improper integral من النوع الأول وأخدنا
+
+11
+00:01:03,660 --> 00:01:09,840
+على ذلك بدل المثال أربعة أمثلة المرة الماضيةالان
+
+12
+00:01:09,840 --> 00:01:13,140
+بنجي للنقطة اللى بقعده قبل ما ناخد ال improper
+
+13
+00:01:13,140 --> 00:01:17,260
+integral من النوع التانى، في عند نظرية، النظرية
+
+14
+00:01:17,260 --> 00:01:23,040
+موجودة عندك في الكتاب على شكل مثاللكن لما كان هذا
+
+15
+00:01:23,040 --> 00:01:27,640
+نحتاجه كثير في حل المسائل، قلنا بأن نعتمد هذا
+
+16
+00:01:27,640 --> 00:01:34,860
+المثال كنظرية و نستخدمها متى لازم الأمر. النظرية
+
+17
+00:01:34,860 --> 00:01:39,060
+بتقول لو كان a أكبر من ال zero رقم موجب يبقى
+
+18
+00:01:39,060 --> 00:01:43,540
+integration من a إلى infinity ل dx على x to the
+
+19
+00:01:43,540 --> 00:01:49,190
+power P convergeإذا كان الـP أكبر من الواحد
+
+20
+00:01:49,190 --> 00:01:54,410
+وDiverge إذا الـP أقل من أو تساوي الواحد إذا مش
+
+21
+00:01:54,410 --> 00:01:58,050
+هنحكم على تكامل من هذا القبيل هل هو Converge ولا
+
+22
+00:01:58,050 --> 00:02:03,350
+Diverge بتطلع للـS تبع الـX والله إذا الـS تبع
+
+23
+00:02:03,350 --> 00:02:06,390
+الـX كان أكبر من الواحد الصحيح يمكن التكامل
+
+24
+00:02:06,390 --> 00:02:11,070
+Converge وإذا كان الـS أقل من الواحد الصحيح أو
+
+25
+00:02:11,070 --> 00:02:16,560
+يساوي يمكن التكامل Divergeمثال و ذلك، لو قلنا
+
+26
+00:02:16,560 --> 00:02:23,600
+تكامل اها مثلا من واحد لمعنى نهاية ل DX على X أس
+
+27
+00:02:23,600 --> 00:02:28,320
+تلاتة على اتنين convert ان تلاتة على اتنين كسر
+
+28
+00:02:28,320 --> 00:02:32,540
+اكبر من الواحد الصحيح يبقى هذا التكامل convert لكن
+
+29
+00:02:32,540 --> 00:02:38,040
+لو قلت نفس التكامل واحد على X أس تلتين بدل تلاتة
+
+30
+00:02:38,040 --> 00:02:42,860
+على اتنين مشي للتكامل by both لو قلت واحد على X DX
+
+31
+00:02:43,770 --> 00:02:48,370
+بقى ضايف في يده إن القصة بقدرش بواحد صحيح طبق لمين
+
+32
+00:02:48,370 --> 00:02:52,610
+لهذه الغالة. طبعاً إلها برهان لبرهان، بقول لك مثال
+
+33
+00:02:52,610 --> 00:02:56,090
+محلول في الكتاب، بتروح الكتاب وتقرأ هذا المثال
+
+34
+00:02:56,090 --> 00:03:00,950
+وتجد الكلام اللي احنا بنقوله هذا كلام صحيح.الأن
+
+35
+00:03:00,950 --> 00:03:04,570
+ننتقل إلى النوع الثاني من أنواع الـ Improper
+
+36
+00:03:04,570 --> 00:03:08,650
+Integral النوع الثاني يقول إن إذا دالة المراد
+
+37
+00:03:08,650 --> 00:03:15,290
+تكاملها أصبحت غير معرفة عند نقطة و هذه النقطة خلال
+
+38
+00:03:15,290 --> 00:03:19,910
+فترة التكامل، إن حدث ذلك، بنقول هذا Improper
+
+39
+00:03:19,910 --> 00:03:23,110
+Integral من النوع الثاني.
+
+40
+00:03:25,380 --> 00:03:29,540
+الـ integrals of functions that become infinite
+
+41
+00:03:29,540 --> 00:03:35,600
+تصبح غير معرفة عند نقطة within the interval of
+
+42
+00:03:35,600 --> 00:03:39,780
+integration خلال فترة التكامل are called improper
+
+43
+00:03:39,780 --> 00:03:45,780
+integral of type two يبقى من النوع الثاني يبقى هذا
+
+44
+00:03:45,780 --> 00:03:50,140
+بنسميه improper integral كيف بدأ نحسبه؟ بنفس
+
+45
+00:03:50,140 --> 00:03:54,600
+الفكرة اللي حسبنا فيها المرة اللي فاتت وهي أخذ ال
+
+46
+00:03:54,600 --> 00:03:59,930
+limitكيف؟ نجيب أقول النقطة الأولى، لو كانت الدالة
+
+47
+00:03:59,930 --> 00:04:04,650
+دالة متصلة على هذه الفترة، يبقى التكامل exist.
+
+48
+00:04:04,890 --> 00:04:10,330
+لاحظ عند ال A فترة مفتوحة وعند ال B مغلقة وكانت
+
+49
+00:04:10,330 --> 00:04:16,500
+الدالة غير متصلة عند A عند أول ال intervalيبقى
+
+50
+00:04:16,500 --> 00:04:22,080
+تكامل من A إلى B إلى الـF of X DX يساوي تكامل من C
+
+51
+00:04:22,080 --> 00:04:26,340
+إلى B إلى الـF of X DX وبعد ما أقوم بعملية التكامل
+
+52
+00:04:26,340 --> 00:04:31,680
+وروح باخد ال limit لما الـC بدأ تروح إلى A من جهة
+
+53
+00:04:31,680 --> 00:04:37,020
+اليمينحسبنا هذه الـ Limit والله إذا وجدت الـ Limit
+
+54
+00:04:37,020 --> 00:04:41,660
+هذه Exist بيتكامل Converge وإذا الـ Limit does not
+
+55
+00:04:41,660 --> 00:04:46,500
+exist بيتكامل Diverge بالمثل في الحالة التانية، لو
+
+56
+00:04:46,500 --> 00:04:51,300
+كانت الدلة دلة متصلة على الفترة من A إلى B مغلقة
+
+57
+00:04:51,300 --> 00:04:57,440
+من عند الـA وافتوحة من عند الـBيبقى وكانت دالة غير
+
+58
+00:04:57,440 --> 00:05:01,800
+متصلة عند الـB يبقى التكامل من A إلى B للـF of X
+
+59
+00:05:01,800 --> 00:05:07,420
+DX وتكامل من A إلى C يعني بشيل الـB و بحط مكانها C
+
+60
+00:05:07,420 --> 00:05:11,940
+و بكمل الدالة و بعوض و حدد التكامل و بعد هيك بروح
+
+61
+00:05:11,940 --> 00:05:16,140
+باخد ال limit لما الـC بدها تروح للـB من جهة
+
+62
+00:05:16,140 --> 00:05:20,420
+الشمال والله إذا تكامل exist if limit exist يبقى
+
+63
+00:05:20,420 --> 00:05:24,140
+تكامل converge if limit does not exist يبقى تكامل
+
+64
+00:05:24,140 --> 00:05:28,280
+divergeيبقى النقطة الأولى والثانية الأولى كانت عند
+
+65
+00:05:28,280 --> 00:05:32,580
+بداية ال interval الثانية كانت عند نهاية ال
+
+66
+00:05:32,580 --> 00:05:36,360
+interval فبفرض discontinuity حصل عند نقطة وده
+
+67
+00:05:36,360 --> 00:05:40,720
+النقطة لا عند البداية ولا عند النهاية، أي نقطة
+
+68
+00:05:40,720 --> 00:05:45,000
+داخل ال interval فبجي بقول له ال discontinuity كان
+
+69
+00:05:45,000 --> 00:05:48,960
+سي اللي موجودة في الفترة المفتوحة A وB ولم أقول
+
+70
+00:05:48,960 --> 00:05:54,520
+المغلقةيعني الـ C هذه لا حتساوي ايه؟ ولا حتساوي
+
+71
+00:05:54,520 --> 00:06:01,580
+بيبقى اي نقطة بينهما and continuous على كل الفترة
+
+72
+00:06:01,580 --> 00:06:06,600
+من A إلى C ومن C إلى B يعني ال discontinuity حاصلة
+
+73
+00:06:06,600 --> 00:06:11,360
+عند C اللي موجودة داخل هذه ال intervalيبقى تكامل
+
+74
+00:06:11,360 --> 00:06:16,580
+من A إلى B للـF of X DX، هروح أجزءه إلى تكاملين،
+
+75
+00:06:16,580 --> 00:06:21,440
+هذا التكامل الأول وهذا هو التكامل الثاني. التكامل
+
+76
+00:06:21,440 --> 00:06:26,020
+الأول هو الحالة التانية والتكامل التاني هو الحالة
+
+77
+00:06:26,200 --> 00:06:31,520
+الأولى يبقى راحت كتبتهم as limits والله إذا
+
+78
+00:06:31,520 --> 00:06:35,860
+التنتين converge يبقى التكم الأصلي converge واحدة
+
+79
+00:06:35,860 --> 00:06:40,940
+converge والتانية diverge يبقى diverge إذا التنتين
+
+80
+00:06:40,940 --> 00:06:46,400
+diverge وبالموجبيبقى التكامل diverse إذا كنتان
+
+81
+00:06:46,400 --> 00:06:51,760
+diverse يوابس سالم maybe diverse or maybe converge
+
+82
+00:06:51,760 --> 00:06:56,200
+ممكن هذه و ممكن آية هذه ال definition هو الكلام
+
+83
+00:06:56,200 --> 00:06:59,940
+اللي قلناه هنا قال لي في كل حالة من الحالات هدول
+
+84
+00:07:00,120 --> 00:07:03,920
+إذا كان هناك قيمة فهي قيمة التكامل. وإذا كان هناك
+
+85
+00:07:03,920 --> 00:07:11,080
+قيمة فهي قيمة التكامل. وإذا كان هناك قيمة فهي قيمة
+
+86
+00:07:11,080 --> 00:07:17,580
+التكامل. وإذا كان هناك قيمة فهي قيمة التكامل. وإذا
+
+87
+00:07:17,580 --> 00:07:23,140
+كان هناك قيمة فهي
+
+88
+00:07:23,140 --> 00:07:26,700
+قيمة التكامل.
+
+89
+00:07:48,820 --> 00:07:53,380
+القيمة التكامل هي قيمة الـ Limit نفسها بالضبط
+
+90
+00:07:53,380 --> 00:07:58,130
+تماما.بنروح الآن إلى أمثلة على هذا الكلام بيقول
+
+91
+00:07:58,130 --> 00:08:02,330
+شوف لمين من التكامل التالي يكون VAR ومين منها
+
+92
+00:08:02,330 --> 00:08:07,750
+بيعطاني تكامل من 0 ل 1 ل 4 X على الجدرى الترابية ل
+
+93
+00:08:07,750 --> 00:08:13,590
+1 ناطس X أُس 4 بمجرد النظر بلاحظ أن الدالة هذه
+
+94
+00:08:13,590 --> 00:08:19,750
+مالهاthis continuous عند الواحد عند الواحد موجود
+
+95
+00:08:19,750 --> 00:08:25,890
+خلال فترة التكامل وهو نهاية هذه الفترة يبقى بناء
+
+96
+00:08:25,890 --> 00:08:31,690
+عليه هذا الكلام بده يصير ال limit تكامل من zero
+
+97
+00:08:31,690 --> 00:08:37,210
+لغاية B يبقى اللي عنده المشكلة بيحطه بأي رمز أخر و
+
+98
+00:08:37,210 --> 00:08:43,230
+بيخلي ال B بده تروح للواحد من جهة الشمال
+
+99
+00:08:50,190 --> 00:08:57,850
+4x يبقى 2 في 2x، لماذا هذا ما سنجيب عليه فورا واحد
+
+100
+00:08:57,850 --> 00:09:04,170
+ناقص x تربية لكل تربية دي x؟ يبقى x و 4 حطيناها x
+
+101
+00:09:04,170 --> 00:09:09,700
+تربية تربيةالمهم بدي أشيل ال X تربية و أحط بدالها
+
+102
+00:09:09,700 --> 00:09:15,080
+variable مشان نقدر نكامل يبقى بقوله حطلي T تساوي X
+
+103
+00:09:15,080 --> 00:09:22,640
+تربية يبقى DT بدي ساوي 2X DX من هنا 2X DX اللي
+
+104
+00:09:22,640 --> 00:09:28,970
+كتبناها يعذر عن DTيبقى صار عندى ال limit لما b
+
+105
+00:09:28,970 --> 00:09:33,070
+بدها تروح للواحد من جهة الشمال و هاي الاتنين
+
+106
+00:09:33,070 --> 00:09:40,610
+خلّيها برا ال limit وهذا صار تكامل لدي ت على الجذر
+
+107
+00:09:40,610 --> 00:09:47,500
+التربية لواحد ناقص ت تربيةبديش احط حدود التكامل،
+
+108
+00:09:47,500 --> 00:09:51,340
+بديش اغيرها، لإن لو غيرت من هناك، بتغير ال index
+
+109
+00:09:51,340 --> 00:09:57,880
+اللي بتاع ال limit لذلك بقول هذا اتنين limit لما
+
+110
+00:09:57,880 --> 00:10:02,430
+بيبدأ تروح للواحد من جهة الشمالتكامل هذي اللي هو
+
+111
+00:10:02,430 --> 00:10:08,370
+مين؟ sign inverse يبقى sign inverse و T اللي هي
+
+112
+00:10:08,370 --> 00:10:13,650
+مجداش بكسر بيها و الحين بحط حدود التكامل اللي هو
+
+113
+00:10:13,650 --> 00:10:19,150
+من و لا و اين من zero لغاية ال Bيبقى هذا الكلام
+
+114
+00:10:19,150 --> 00:10:24,850
+بده يساوي هاي اتنين برا وهذا ال ghost وهذا ال
+
+115
+00:10:24,850 --> 00:10:30,910
+limit لما بي بدها تروح للواحد من جهة الشمال لمين؟
+
+116
+00:10:30,910 --> 00:10:37,590
+ل sign inverse one ناقص sign inverse zero طبعا
+
+117
+00:10:37,590 --> 00:10:43,010
+sign inverse zero ب zero وهذا الكلام يساوي اتنين و
+
+118
+00:10:43,010 --> 00:10:49,340
+sign inverse one مين الزمن اللي جيبها واحد؟كداش؟
+
+119
+00:10:49,340 --> 00:10:56,580
+90 يبقى باي على 2 يبقى النتيجة تسوى باي فقط ال
+
+120
+00:10:56,580 --> 00:11:00,640
+limit سوى قيمة عددية يبقى التكامل converge وقيمة
+
+121
+00:11:00,640 --> 00:11:06,100
+التكامل يسوى هذه القيمة العددية إذا هذا بده يعطينا
+
+122
+00:11:06,100 --> 00:11:12,280
+تكامل من zero لغاية واحد للاربعة x على الجذر
+
+123
+00:11:12,280 --> 00:11:18,390
+التربيهي للواحد ماقص x اصاربعة dxconversion تهيئنا
+
+124
+00:11:18,390 --> 00:11:43,630
+من المثال مثال
+
+125
+00:11:43,630 --> 00:11:43,890
+8
+
+126
+00:12:04,400 --> 00:12:09,380
+المشكلة هنا يا عزيزيعن مين عندي اتنين يبقى دا
+
+127
+00:12:09,380 --> 00:12:13,460
+improper دا integral لإنه عندي اتنين هذه ال
+
+128
+00:12:13,460 --> 00:12:19,460
+function غير معرفة اذا بتروح اكتب هذا الكلام limit
+
+129
+00:12:19,460 --> 00:12:26,060
+و تكامل من a لغاية اربعة لما ال a بدأ تروح للي
+
+130
+00:12:26,060 --> 00:12:32,400
+اتنين من جهة اليمين لمين لواحد على x ناقص اتنين
+
+131
+00:12:32,400 --> 00:12:34,900
+لكل تربيع dx
+
+132
+00:12:41,500 --> 00:12:47,380
+سالب واحد على X ناقص اتنين يبقى هذا ال limit لما
+
+133
+00:12:47,380 --> 00:12:53,460
+ال A بدأ تروح للاتنين من جهة اليمين لسالب واحد على
+
+134
+00:12:53,460 --> 00:12:59,540
+X ناقص اتنين وكل هذا الكلام من عند ال A لغاية
+
+135
+00:12:59,540 --> 00:13:05,190
+الأربعةيبقى هذا الكلام بده يساوي ال limit لما ال a
+
+136
+00:13:05,190 --> 00:13:09,750
+بده تروح لل إثنين من جهة اليمين و أي شرط السؤال
+
+137
+00:13:09,750 --> 00:13:17,770
+برااربعة ناقص اتنين اللي هو بقداش مصر ناقص واحد
+
+138
+00:13:17,770 --> 00:13:25,290
+على ايه ناقص اتنين ويساوي هذا الناقص برا نهاية
+
+139
+00:13:25,290 --> 00:13:30,770
+المقدار الثابت بالمقدار الثابت itself وصلنا لناقص
+
+140
+00:13:30,770 --> 00:13:36,390
+هاي ناقص الان ايه بده تروح للاتنين من جهة اليامين
+
+141
+00:13:36,630 --> 00:13:40,810
+يبقى اتنين من جهة اليمين يعني اتنين وكسر بسيط جدا
+
+142
+00:13:40,810 --> 00:13:46,790
+ناقص اتنين يبقى very small positive quantity يبقى
+
+143
+00:13:46,790 --> 00:13:53,490
+واحد على very small positive quantity اللي بتعطيه
+
+144
+00:13:53,490 --> 00:13:54,370
+الجداش
+
+145
+00:14:16,880 --> 00:14:19,160
+المثال الثالث
+
+146
+00:14:25,760 --> 00:14:36,340
+بنتكامل من 0 لغاية 2 لدى x على الجبري التربيعى ل
+
+147
+00:14:36,340 --> 00:14:40,180
+absolute value ل X ناقص الواحد
+
+148
+00:15:09,070 --> 00:15:14,510
+واضح أن الدالة غير معرفة عند الـ Man والواحد موجود
+
+149
+00:15:14,510 --> 00:15:17,910
+في الفترة من Zero للاتنين، لو كان الرقم هذا برا
+
+150
+00:15:17,910 --> 00:15:21,150
+الفترة ماليش علاقة فيه، بقولش عنه improper
+
+151
+00:15:21,150 --> 00:15:25,150
+integral، بقولش improper إلا إذا كان موجود خلال
+
+152
+00:15:25,150 --> 00:15:31,010
+فترة من التكامل.يبقى هضطر اجزء المثلة الى جزءين من
+
+153
+00:15:31,010 --> 00:15:35,770
+under 0 لغاية الواحد من واحد للي اتنين و اروح اكمل
+
+154
+00:15:35,770 --> 00:15:41,030
+تمام مية المية صحيح لكن واحد اشتر مننا شوية قال لا
+
+155
+00:15:41,030 --> 00:15:45,570
+لا لا قلت له ايوة قلت لي انا ممكن اعمل تعويضة غير
+
+156
+00:15:45,570 --> 00:15:50,550
+شكل وبالتالي يتشجل بوضع المثل بيقولك اذا ال X ناقص
+
+157
+00:15:50,550 --> 00:15:56,950
+هو هتحطها باي variable اخروقال لي احط لل Y تساوي X
+
+158
+00:15:56,950 --> 00:16:02,410
+ناقص واحد يبقى ال DIY بده يساوي قداش DX يبقى صارة
+
+159
+00:16:02,410 --> 00:16:07,810
+المسألة هيها تكامل هي ال DX بده اشيل و احط بدلها
+
+160
+00:16:07,810 --> 00:16:12,590
+DIY وهذا الجدر التربيه ال absolute value ل Y
+
+161
+00:16:20,500 --> 00:16:30,780
+بعد ذلك نضع X ب2 يصبح Y ب1 نضع X ب0 يصبح Y ب-1
+
+162
+00:16:30,780 --> 00:16:36,520
+نقول والله مظبوط كلام صحيح نقلت المسألة من وضع إلى
+
+163
+00:16:36,520 --> 00:16:42,670
+وضع جديدلا يزال الـ discontinuity بيحصل وين؟ عند
+
+164
+00:16:42,670 --> 00:16:47,550
+الـ Zero والـ Zero موجود خلال هذه الفترة، لأننا لم
+
+165
+00:16:47,550 --> 00:16:53,110
+نفعل أي شيء من وجهة النظر الأولى. لكن هل هذه
+
+166
+00:16:53,110 --> 00:16:57,670
+الدالة اللي بنكملها دالة زوجية ولا فردية؟يعني لو
+
+167
+00:16:57,670 --> 00:17:00,990
+شيلنا ال Y وحطينا مكانها ناقص Y واخدنا لها ال
+
+168
+00:17:00,990 --> 00:17:05,050
+absolute value مش بتظل هي نفسها، يبقى هذه دالة
+
+169
+00:17:05,050 --> 00:17:10,410
+زوجية إذن اتنين التكامل على نصف الفترة يبقى هذا
+
+170
+00:17:10,410 --> 00:17:17,010
+الكلام بده يساوي اتنين تكامل من Zero لواحد لدي Y
+
+171
+00:17:17,010 --> 00:17:22,530
+على الجدر التربية ل absolute value ل Yطيب، هذا
+
+172
+00:17:22,530 --> 00:17:27,670
+الكلام يساوي اتنين تتامل من Zero لواحد من Zero
+
+173
+00:17:27,670 --> 00:17:33,950
+لواحد الـY بتاخد قيم سالبة؟ لأ، يبقى هذه، خلّيت
+
+174
+00:17:33,950 --> 00:17:38,810
+absolute وانشلت ال absolute value كله سيان، يبقى
+
+175
+00:17:38,810 --> 00:17:45,630
+واحد على جذر الـY دي واحد يبقى الشغل هذه إلها
+
+176
+00:17:45,630 --> 00:17:50,340
+فائدتينالفائدة الأولى اتخلصت من ال absolute value
+
+177
+00:17:50,340 --> 00:17:54,440
+اللي كنت مش عارف اتحرك و هي موجودة الشغل الثاني
+
+178
+00:17:54,440 --> 00:17:58,460
+بدل ما كنت بدي اعمل تكاملين بصير بدي اعمل ايه؟
+
+179
+00:17:58,460 --> 00:18:04,400
+تكامل واحد بقوله كويس يبجي هذي صارتي اتنين limit
+
+180
+00:18:04,400 --> 00:18:09,410
+تكامل المشكلة وين؟عند الـ zero يبقى بده اشيل ال
+
+181
+00:18:09,410 --> 00:18:17,270
+zero و احط a و هنا واحد و هنا y اص ناقص نص dy و خل
+
+182
+00:18:17,270 --> 00:18:23,500
+ال a تروح ل zero من جهات اليمينطيب، الروح الكامل
+
+183
+00:18:23,500 --> 00:18:29,880
+هذه دمج هذه تساوي اتنين برا وهي limit لما ال a
+
+184
+00:18:29,880 --> 00:18:36,460
+بدها تروح ل zero من جهة اليمين وهذه y أص نص على نص
+
+185
+00:18:36,460 --> 00:18:42,280
+والحكي من عند ال a لغاية قداش واحديبقى هذا الكلام
+
+186
+00:18:42,280 --> 00:18:48,160
+بده يساوي أربعة limit لما a بده تروح ل zero من جهة
+
+187
+00:18:48,160 --> 00:18:55,800
+اليمين لجذر الواحد ناقص جذر ال a لما ال a بده تروح
+
+188
+00:18:55,800 --> 00:19:01,040
+ل zero يبقى هذا بقداش zero جذر الواحد بواحد يبقى
+
+189
+00:19:01,040 --> 00:19:07,280
+النتج بقداش أربعة يبقى الأربعة بناء عليه التكمل
+
+190
+00:19:07,280 --> 00:19:15,410
+لأن هذا ماله convertيبقى بجي بقوله هنا س تكامل من
+
+191
+00:19:15,410 --> 00:19:22,070
+zero لغاية اتنين لل DX على الجدرى التربية لل X
+
+192
+00:19:22,070 --> 00:19:27,530
+ناقص واحد absolute value converged وانتهينا من
+
+193
+00:19:27,530 --> 00:19:36,600
+المثلخُد كمان مسألة أخرى شبيهة بالأشكال هذه تكامل
+
+194
+00:19:36,600 --> 00:19:45,320
+من صفر لغاية لإتنين ل dx على مين على x ناقص واحد
+
+195
+00:19:45,320 --> 00:19:46,480
+لكل ترابيع
+
+196
+00:19:49,370 --> 00:19:55,090
+المشكلة تكمل وين؟ عند الواحد، تمام؟ ممكن أعمل
+
+197
+00:19:55,090 --> 00:19:58,910
+تعويضة زيها، بس أنا المرة أنا مش حابب أعمل تعويضة
+
+198
+00:19:58,910 --> 00:20:02,410
+زيها، ماعرفش تجيبلي نتيجة زيها ولا مش زيها، الله
+
+199
+00:20:02,410 --> 00:20:09,120
+أعلم. المهملو جيت جزأتي التكامل من صفر لغاية واحد
+
+200
+00:20:09,120 --> 00:20:15,480
+لدي X على X ناقص واحد لكل ترابيع زائد تكامل من
+
+201
+00:20:15,480 --> 00:20:23,980
+واحد لليتنين لدي X X ناقص واحد لكل ترابيع خلّينا
+
+202
+00:20:23,980 --> 00:20:31,130
+ناكلالان بدي اتي للتكامل الاول اشوف وهل هو convert
+
+203
+00:20:31,130 --> 00:20:38,070
+ولا bivariate فبدي بقوله تكامل من صفر لواحد ل dx
+
+204
+00:20:38,070 --> 00:20:46,040
+على x ناقص واحد لكل تربية يساويالمشكلة تكمن عند
+
+205
+00:20:46,040 --> 00:20:52,660
+الواحد يبقى هذا ال limit و تكامل من zero إلى b لما
+
+206
+00:20:52,660 --> 00:20:58,860
+b بدأ تروح للواحد من جهة الشمال لواحد على x ناقص
+
+207
+00:20:58,860 --> 00:21:06,470
+واحد لكل تربيعDX يبقى limit لما B بدأ تروح إلى
+
+208
+00:21:06,470 --> 00:21:13,290
+واحد من جهة الشمال لمين لا سالب واحد على X ناقص
+
+209
+00:21:13,290 --> 00:21:20,180
+واحد كله من عند ال zero لغاية main لغاية ال Bيبقى
+
+210
+00:21:20,180 --> 00:21:25,860
+هذا الكلام بده يساوي هذا ال limit لما B بدها تروح
+
+211
+00:21:25,860 --> 00:21:31,020
+للواحد من جهة الشمال وهي السالم وبتعود بالقيمة
+
+212
+00:21:31,020 --> 00:21:38,040
+اللي فوق واحد على B ناقص واحد ناقص واحد Zero على
+
+213
+00:21:38,040 --> 00:21:44,720
+ناقص واحدتعالى نشوف النتيجة بيبدأ تروح للواحد من
+
+214
+00:21:44,720 --> 00:21:50,160
+جهة الشمال يعني أقل من واحد يبقى المقام very small
+
+215
+00:21:50,160 --> 00:21:57,880
+negative يبقى ما يساوي الناقص واحد على very small
+
+216
+00:21:57,880 --> 00:22:05,170
+negative quantity زائد واحديبقى هذا الكلام بده
+
+217
+00:22:05,170 --> 00:22:11,770
+يساوي سالب هذا بيعطيك مين؟ سالب infinity هذا
+
+218
+00:22:11,770 --> 00:22:16,810
+بيعطيك سالب infinity زائد واحد
+
+219
+00:22:24,520 --> 00:22:31,180
+يبقى التكامل الأولاني هذا ما له diverse يبقى سواء
+
+220
+00:22:31,180 --> 00:22:37,360
+تكامل من zero لواحد لديه x على x ناقص واحد لكل
+
+221
+00:22:37,360 --> 00:22:46,940
+تربية ما له diverseالان دور عليك تشك يبقى انت
+
+222
+00:22:46,940 --> 00:22:58,680
+تعملي ذات تكامل من 1 ل Y2 ل DX علي X ناقص واحدبرضه
+
+223
+00:22:58,680 --> 00:23:05,580
+بدى يساوي infinity وهذا معناه ان التكامل من واحد
+
+224
+00:23:05,580 --> 00:23:12,460
+للاتنين ل dx على x ناقص واحد لكل ترابية مالو
+
+225
+00:23:12,460 --> 00:23:12,960
+diverse
+
+226
+00:23:15,850 --> 00:23:21,930
+تكامل من Zero للإتنين للواحد على X ناقص واحد لكل
+
+227
+00:23:21,930 --> 00:23:27,330
+تربية DX ماله By Verge ماله نهاية زائد ماله نهاية
+
+228
+00:23:27,330 --> 00:23:32,670
+بماله نهاية وبالتالي تكامل ماله By Verge طيب افترض
+
+229
+00:23:32,670 --> 00:23:39,030
+انه انا جيبتلك هذا السؤال في الامتحانطبعا وانت
+
+230
+00:23:39,030 --> 00:23:43,850
+طلعت فى الامتحان وقلت هى و الله هذا سؤال سهل جدا
+
+231
+00:23:43,850 --> 00:23:50,710
+هذا يبنوه النهدية طبعا و جيت اتكامل على طول لا قلت
+
+232
+00:23:50,710 --> 00:23:54,990
+improper integral ولا اجه فى بالك ال improper
+
+233
+00:23:54,990 --> 00:23:59,850
+integral وقلت اتكامل من zero لاتنين x ناقص واحد
+
+234
+00:23:59,850 --> 00:24:04,990
+لكل تربيع dx وروحت بدل ما تسوي زينا improper
+
+235
+00:24:04,990 --> 00:24:11,010
+integral ونثبت انهبعد كامل يبقى هذا على طول الخط
+
+236
+00:24:11,010 --> 00:24:17,390
+سالب واحد على اكس ناقص واحد والكلام هذا من zero
+
+237
+00:24:17,390 --> 00:24:22,330
+للاثنينتمام؟ و جينا قولنا بينا نعوض بالقيمة اللي
+
+238
+00:24:22,330 --> 00:24:27,790
+فوق ناقص اللي تحت اتنين ناقص واحد بيبقى قداش واحد
+
+239
+00:24:27,790 --> 00:24:33,350
+ناقص نشيل ال X و نحط مكان Zero و حطينا Zero طلع
+
+240
+00:24:33,350 --> 00:24:38,810
+قداش واحد على سالب واحد يعني واحد واحد اتنين و
+
+241
+00:24:38,810 --> 00:24:46,610
+سالب صار قداش سالب اتنين ايش
+
+242
+00:24:46,610 --> 00:24:50,220
+رأيك؟ انت كام ال convert؟وشوف ال conversion هنا
+
+243
+00:24:50,220 --> 00:24:55,980
+ضعيفة، إيش رأيك في طريقة الحل هذه؟ هذه ههه، لو
+
+244
+00:24:55,980 --> 00:25:03,000
+حليت بها، تاخد عليها صفر، صفر كماما، ليش بتاخد
+
+245
+00:25:03,000 --> 00:25:08,080
+عليها صفر؟لأن هذا improper integral وانت مغفغة في
+
+246
+00:25:08,080 --> 00:25:11,800
+نايم تدريش ان هذا improper integral وروحت عملت
+
+247
+00:25:11,800 --> 00:25:17,460
+تكامل عادي من هنا هذا الفرق ما بين التكامل العادي
+
+248
+00:25:17,460 --> 00:25:22,900
+وما بين ال improper integral يفجأ لو جاءك سؤال في
+
+249
+00:25:22,900 --> 00:25:29,100
+الامتحانوشوفت التكامل محدود وما فيه infinity اللي
+
+250
+00:25:29,100 --> 00:25:32,320
+إذا فيه infinity بيكون مبين للعمل خلاص الكل شايفه
+
+251
+00:25:32,320 --> 00:25:35,480
+وعارفه لكن لما يكون تكامل محدود من صفر لإتنين
+
+252
+00:25:35,480 --> 00:25:39,140
+أرقام automatic بتروح على الدالة اللي إيه اللي
+
+253
+00:25:39,140 --> 00:25:43,640
+بناها كاملة شوف هل هي معرفة خلال فترة التكامل أو
+
+254
+00:25:43,640 --> 00:25:47,920
+لا إذا معرفة كاملة وتوكل على الله وإذا مش معرفة
+
+255
+00:25:47,920 --> 00:25:52,780
+إذا إحنا قصدين أن شوفك صح لها الشغل والله مانتش
+
+256
+00:25:52,780 --> 00:25:53,120
+صحي
+
+257
+00:25:57,100 --> 00:26:02,400
+خلّيك معاه، إذا الـ Improper Integral ويكون له
+
+258
+00:26:02,400 --> 00:26:06,720
+قيمة عددية، ممكن يقولك يحسب، واسكت، يعني ممكن يطلع
+
+259
+00:26:06,720 --> 00:26:09,760
+التكامل هذا الـ Conversion، زي ما شُفنا قبل شوية،
+
+260
+00:26:09,760 --> 00:26:11,800
+إيش الـ Conversion، وإيش الـ Divide، إذا الـ
+
+261
+00:26:11,800 --> 00:26:14,620
+Conversion ممكن يقولك يحسب التكامل، واسكت، يبقى
+
+262
+00:26:14,620 --> 00:26:19,180
+أنت بجتفت عينك وتشوف الدالة المُراد تكاملها، هل هي
+
+263
+00:26:19,180 --> 00:26:20,780
+معرفة ولا غير معرفة؟
+
+264
+00:26:23,630 --> 00:26:28,790
+يوجد نظر أخرى، هل التكامل لأنك هذا قيمة سالب أو
+
+265
+00:26:28,790 --> 00:26:33,690
+لا؟ طب ما هو المساحة؟ خلّينا نرى كده. المساحة
+
+266
+00:26:33,690 --> 00:26:36,910
+دايما هو مساحة قيمة موجب. طالع سالم، معناته في
+
+267
+00:26:36,910 --> 00:26:42,330
+علامة استفهام. يبقى علامة استفهام أمام هذه
+
+268
+00:26:42,330 --> 00:26:46,710
+النتيجة. إذن هذا بتعطيك أن مافيش تكامل يعطيك قيمة
+
+269
+00:26:46,710 --> 00:26:53,690
+سالبةوإلا إذا كانت منطقة تين، منطقة أعلى محور X
+
+270
+00:26:53,690 --> 00:26:58,650
+والتانية أسفل محور X واللي تحت محور X أكبر من اللي
+
+271
+00:26:58,650 --> 00:27:05,850
+فوق محور X، ممكن يطلع سهل. ايه؟ لو حليت مباشرة،
+
+272
+00:27:05,850 --> 00:27:10,850
+بنحط لك صفر. Converge، و لا مانعش ما تقول، هقولك
+
+273
+00:27:10,850 --> 00:27:16,530
+صفر. خلاص؟ إذا معرفة بطل، يصبح الـ Improper
+
+274
+00:27:16,530 --> 00:27:20,840
+Integra.على ما نحكي إذا هو proper or integer هو
+
+275
+00:27:20,840 --> 00:27:23,640
+يفتخر له limit، ما هو مش proper or integer يعني مش
+
+276
+00:27:23,640 --> 00:27:24,560
+حاجة يصيب له limit.
+
+277
+00:27:28,520 --> 00:27:33,540
+كل مرة نروح نكامل، ناخد limit ونسوي هذه قصة طويلة،
+
+278
+00:27:33,540 --> 00:27:39,140
+مش كل المسائل بنقدر نكاملهم.يعني في بعض المسائل
+
+279
+00:27:39,140 --> 00:27:44,440
+صعب تكاملهم.ما دام صعب، كيف بنعمل؟ بنقول لك بسيطة
+
+280
+00:27:44,440 --> 00:27:49,080
+خالص، في عندنا اختبارين بواصفتهم، بنحكم على هذا
+
+281
+00:27:49,080 --> 00:27:54,150
+التكاملهل هو converge و لا divate باستخدام النظرية
+
+282
+00:27:54,150 --> 00:27:59,950
+اللي كتبناها قبل قليل هنا كانت في رأس الصبورة من
+
+283
+00:27:59,950 --> 00:28:03,330
+فوق يبقى بإذن الله نجي للاختبارين و مكافف اليوم
+
+284
+00:28:03,330 --> 00:28:08,890
+نبدأ بس أول اختبار و بدك تفرق مخك معايا شوية هكذا
+
+285
+00:28:08,890 --> 00:28:13,190
+مشان تستطيع تفهم هذا الكلام يبقى بإذن الله نجي
+
+286
+00:28:13,190 --> 00:28:15,370
+لحاجة اسمها tests
+
+287
+00:28:17,670 --> 00:28:23,350
+اختبارات for convergence
+
+288
+00:28:23,350 --> 00:28:33,930
+for convergence of the improper integral
+
+289
+00:28:33,930 --> 00:28:37,890
+اول
+
+290
+00:28:37,890 --> 00:28:45,090
+اختبار من هذه الاختبارات اسمه direct comparison
+
+291
+00:28:49,310 --> 00:29:00,070
+بقول اختبار ما يأتي let f of x and g of x be
+
+292
+00:29:00,070 --> 00:29:03,370
+continuous
+
+293
+00:29:03,370 --> 00:29:12,730
+دالة متاصلة on الفترة a و infinity with
+
+294
+00:29:18,430 --> 00:29:26,690
+zero أقل من f of x أقل من أو يساوي g of x لكل ال x
+
+295
+00:29:26,690 --> 00:29:36,150
+اللي أكبر من أو تساوي a then النقطة الأولى تكاف
+
+296
+00:29:36,150 --> 00:29:47,800
+التكامل من a إلى infinity لل g of x dx convergeثم
+
+297
+00:29:47,800 --> 00:29:57,160
+التكامل من a إلى infinity لل f of x dx convert
+
+298
+00:30:01,640 --> 00:30:10,320
+فتكامل من a إلى infinity لل F of x dx diverge then
+
+299
+00:30:10,320 --> 00:30:18,820
+تكامل من a إلى infinity لل G of x dx diverge
+
+300
+00:30:58,600 --> 00:31:13,820
+remark let f and g be continuous functions دوا
+
+301
+00:31:13,820 --> 00:31:27,930
+المتاصلة on a وbعلى الفترة من a إلى b if ال if and
+
+302
+00:31:27,930 --> 00:31:33,750
+ال g are discontinuous
+
+303
+00:31:33,750 --> 00:31:38,770
+discontinuous
+
+304
+00:31:38,770 --> 00:31:55,160
+at aand at x يساوي a and 0 أقل من أو يساوي f of x
+
+305
+00:31:55,160 --> 00:32:02,140
+أقل من أو يساوي g of x لكل ال x اللي موجود في ال
+
+306
+00:32:02,140 --> 00:32:05,820
+interval a و b then
+
+307
+00:32:12,460 --> 00:32:25,680
+تكامل من a إلى b لل g of x dx convert then تكامل
+
+308
+00:32:25,680 --> 00:32:31,440
+من a إلى b لل f of x dx convert
+
+309
+00:32:37,580 --> 00:32:46,160
+تكامل من A إلى B للـ F of X DX diverge then تكامل
+
+310
+00:32:46,160 --> 00:32:56,360
+من A إلى B للـ G of X DX diverge examples و أنا
+
+311
+00:32:56,360 --> 00:33:01,140
+أجيب ال examples ملاحظة Note
+
+312
+00:33:11,200 --> 00:33:20,360
+the above remark is
+
+313
+00:33:20,360 --> 00:33:24,940
+true on
+
+314
+00:33:24,940 --> 00:33:37,020
+the interval a وb examples
+
+315
+00:33:41,490 --> 00:33:46,710
+It is the convergence
+
+316
+00:33:46,710 --> 00:33:54,990
+of
+
+317
+00:33:54,990 --> 00:34:03,470
+the following improper
+
+318
+00:34:03,470 --> 00:34:08,390
+integrals
+
+319
+00:34:15,050 --> 00:34:23,490
+أول تكامل تكامل من واحد إلى infinity لل E أس ناقص
+
+320
+00:34:23,490 --> 00:34:28,910
+X ترابيع DX نرجع
+
+321
+00:34:28,910 --> 00:34:34,060
+لكلام اللي احنا كاتبينه هذايبدأ في عندنا اختبارين
+
+322
+00:34:34,060 --> 00:34:39,840
+في عندنا اختبارين بدنا نتحدث عنهم في باقية هذا ال
+
+323
+00:34:39,840 --> 00:34:43,660
+section.الان بس هنتحدث عن الاختبار الأول و المرة
+
+324
+00:34:43,660 --> 00:34:46,940
+جاهزة ان شاء الله بنتحدث عن الاختبار الثاني
+
+325
+00:34:46,940 --> 00:34:52,420
+.الاختبار الأول اللي هو barry comparison test اللي
+
+326
+00:34:52,420 --> 00:34:58,840
+هو اختبار المقارنة المباشرهذا الاختبار سنضطر له
+
+327
+00:34:58,840 --> 00:35:03,200
+إذا اتدلب نستطيع ان نتكامل هذا الصعب تكامله ممكن
+
+328
+00:35:03,200 --> 00:35:08,220
+نستخدم هذا الاختبار للحكم على هذا التكامل هل هو
+
+329
+00:35:08,220 --> 00:35:14,320
+converge او divet بقول لو اني دلتين F وG والتنتين
+
+330
+00:35:14,320 --> 00:35:18,480
+كانوا دوال متصلة على الفترة من A الى Infinity
+
+331
+00:35:18,480 --> 00:35:26,080
+وكذلك الدلتين الأثنين موجبات بياخدوش إلى قيم موجبة
+
+332
+00:35:26,500 --> 00:35:32,420
+والـ F أقل من الـ G دائما و أبدا على كل الفترة من
+
+333
+00:35:32,420 --> 00:35:38,140
+A إلى Infinity، إن حدث ذلك يبقى في عنده نقطتين،
+
+334
+00:35:38,140 --> 00:35:43,670
+النقطة الأولى، مين الكبيرة فيهم، F ولا G؟إذا
+
+335
+00:35:43,670 --> 00:35:48,850
+التكامل على جي كان convert هو التكامل على حضرة و
+
+336
+00:35:48,850 --> 00:35:53,150
+مساحة، مساحة مخصورة بين المنحنة أمح و ركز، إذا
+
+337
+00:35:53,150 --> 00:35:57,970
+التكامل على الدلة الكبيرة convert، يعني حصرت مساحة
+
+338
+00:35:57,970 --> 00:36:00,810
+محدودة، إذا التكامل على الدلة اللي أقل منها
+
+339
+00:36:00,810 --> 00:36:05,370
+convert من باب الأولى، المساحة بتبقى أقل.يبقى إذا
+
+340
+00:36:05,370 --> 00:36:11,550
+التكامل على الدالة الكبرى G of X can convert، إذا
+
+341
+00:36:11,550 --> 00:36:17,050
+التكامل على الدالة الصغرى convert، نمر اتنين، إذا
+
+342
+00:36:17,050 --> 00:36:21,750
+التكامل على الدالة الصغرى divers، لصغيره المساعة
+
+343
+00:36:21,750 --> 00:36:25,550
+الكبيرة وصلت إلى ماله نهاية، يبقى بصير التكامل على
+
+344
+00:36:25,550 --> 00:36:31,620
+الدالة الكبرى ماله diversهذا هو اختبار المقارنة،
+
+345
+00:36:31,620 --> 00:36:36,620
+الكتاب ذكر هذا الاختبار و بس، لكن بعض الكتب ذكرت
+
+346
+00:36:36,620 --> 00:36:42,380
+الاختبار نفسه بس بصورة أخرى على الفترة الأخرى تبعت
+
+347
+00:36:42,380 --> 00:36:46,440
+الـ Improper Integration لكن الكتاب راح حط عليه
+
+348
+00:36:46,440 --> 00:36:50,020
+مسائل على ال remarkة، لأن كانت بالك ال remark مش
+
+349
+00:36:50,020 --> 00:36:53,260
+موجودة في الكتاب، لكن في مسائل عديدة في الكتاب
+
+350
+00:36:53,260 --> 00:36:59,210
+عليها مباشرة، تعالى نشوفلو كان الدالة F وG دالة
+
+351
+00:36:59,210 --> 00:37:04,010
+متصلة على الفترة من A إلى B والـ F وG غير قابل
+
+352
+00:37:04,010 --> 00:37:09,150
+الاتصال وين عند X يساوي A وفي نفس الطريقة F of X
+
+353
+00:37:09,150 --> 00:37:13,530
+أقل من G of X والتنتين أكبر من الـ Zero of Them
+
+354
+00:37:14,110 --> 00:37:17,270
+والله إذا التكامل على الكبرى Converge، إذا التكامل
+
+355
+00:37:17,270 --> 00:37:21,250
+على الصغرة Converge، إذا التكامل على الصغرة
+
+356
+00:37:21,250 --> 00:37:26,850
+Biverge، إذا التكامل على الكبرى Biverge، من باب أو
+
+357
+00:37:26,850 --> 00:37:31,010
+لا. يبقى الاختبار هذا هو نفسه، بس الفرق هنا حدود
+
+358
+00:37:31,010 --> 00:37:34,710
+التكامل كانت لمالة نهاية، هنا الدالة المراد
+
+359
+00:37:34,710 --> 00:37:39,640
+تكاملها غير معرفة عند نقطةوهذه النقطة موجودة خلال
+
+360
+00:37:39,640 --> 00:37:44,700
+فترات التكامل يعني قصدنا من هذا الكلام ان ال
+
+361
+00:37:44,700 --> 00:37:48,160
+comparison test بنفعل ال improper integral of type
+
+362
+00:37:48,160 --> 00:37:55,620
+1 و of type 2 على الشكتين الملاحظة هذه بيقول ليه
+
+363
+00:37:55,620 --> 00:38:00,750
+ليس بالضرورة تبقى الفترة من A لB مفتوحةو مغلقة من
+
+364
+00:38:00,750 --> 00:38:04,770
+عند ال B ممكن مغلقة من عند ال A مفتوحة من ما ينطبق
+
+365
+00:38:04,770 --> 00:38:08,670
+على و لا ينطبق على مين لحالة ثانية كما سنرى من
+
+366
+00:38:08,670 --> 00:38:15,610
+خلال الأمثلة بيقولي اختبرلي تقارب كل من التكاملات
+
+367
+00:38:15,610 --> 00:38:19,210
+التالية لما يقولي اختبر التقارب مش معناه ان
+
+368
+00:38:19,210 --> 00:38:25,520
+التكامل تقاربيقد يكون تقاربي وقد يكون تباعدي. لما
+
+369
+00:38:25,520 --> 00:38:28,860
+أقول لك test the conversion، اختبر التقارب، شوف لي
+
+370
+00:38:28,860 --> 00:38:33,280
+هل هو تقارب ولا ما هوش تقارب، يعني هل هو تقاربي
+
+371
+00:38:33,280 --> 00:38:37,400
+ولا تباعدي، بقول له ماشي. جالي تكامل واحد اللي
+
+372
+00:38:37,400 --> 00:38:42,020
+فانت تلاقيه اصناق X تربيع DX. حد فيكم يقدر يكمل
+
+373
+00:38:42,020 --> 00:38:47,790
+الدالة هذه؟إذا كنا نعرف إنه كامل، فنحكم إذا كنا
+
+374
+00:38:47,790 --> 00:38:47,990
+نحكم إذا كنا نحكم إذا كنا نحكم إذا كنا نحكم إذا
+
+375
+00:38:47,990 --> 00:38:48,250
+كنا نحكم إذا كنا نحكم إذا كنا نحكم إذا كنا نحكم
+
+376
+00:38:48,250 --> 00:38:49,390
+إذا كنا نحكم إذا كنا نحكم إذا كنا نحكم إذا كنا
+
+377
+00:38:49,390 --> 00:38:50,330
+نحكم إذا كنا نحكم إذا كنا نحكم إذا كنا نحكم إذا
+
+378
+00:38:50,330 --> 00:38:51,430
+كنا نحكم إذا كنا نحكم إذا كنا نحكم إذا كنا نحكم
+
+379
+00:38:51,430 --> 00:38:54,610
+إذا كنا نحكم إذا كنا نحكم إذا كنا نحكم إذا كنا
+
+380
+00:38:54,610 --> 00:38:59,330
+نحكم إذا كنا نحكم إذا كنا نحكم إذا كنا نحكم إذا
+
+381
+00:38:59,330 --> 00:39:05,770
+كنا نحكم إذا كنا نحكم إذا كنا نحكم إذا كناوالدالة
+
+382
+00:39:05,770 --> 00:39:08,670
+اللي بيجي تقارن معاها بيكون معروفة إليك هل هي
+
+383
+00:39:08,670 --> 00:39:14,310
+convergent و لا divergent بجي بسأل هذه عند الدالة
+
+384
+00:39:14,310 --> 00:39:20,050
+اللي هي E أس ناقص X ثربيا يعني واحد على E أس X
+
+385
+00:39:20,050 --> 00:39:26,170
+ثربيامن أقرب دالة عليها وشبيهة إيه بها؟ واحد عليها
+
+386
+00:39:26,170 --> 00:39:32,350
+والسكس. تمام تمام. يبقى هذه واحد عليها والسكس. طب
+
+387
+00:39:32,350 --> 00:39:37,670
+السؤال هل الدالة الأولى أصغر من الدالة الثانية؟
+
+388
+00:39:37,670 --> 00:39:42,370
+والله أكبر منها من عند الواحد لغاية مال نهاية.
+
+389
+00:39:43,710 --> 00:39:49,490
+الأولى أصغر لأن مقامها أكبر، كل ما يكبر المقام بجل
+
+390
+00:39:49,490 --> 00:39:56,430
+الكسب، إذن الدالة هذه أقل من هذه دائما و أبدا و قد
+
+391
+00:39:56,430 --> 00:40:03,370
+يتساوية فقط عند الواحد، طبعا يبقى هذه أقل من أو
+
+392
+00:40:03,370 --> 00:40:07,750
+تساوي الدالة اللي عندها، كويس؟ طيب إذن خلينا نشوف
+
+393
+00:40:07,750 --> 00:40:13,820
+التكامل على الدالة هذه، بيقولوا بعض، ولكنالتكامل
+
+394
+00:40:13,820 --> 00:40:19,180
+من واحد إلى انفينيتي على واحد ده الـEOS6DX يبقى
+
+395
+00:40:19,180 --> 00:40:25,200
+هذا الكلام يسوي ال limit تكامل من واحد إلى بي لما
+
+396
+00:40:25,200 --> 00:40:31,740
+بي بدها تروح إلى انفينيتي للـEOS-XDX يسوي ال limit
+
+397
+00:40:31,740 --> 00:40:36,230
+لما بي tends to infinityتكمل الـ exponential بالـ
+
+398
+00:40:36,230 --> 00:40:42,450
+exponential نفسها مقصوم على سالب واحد على سالب
+
+399
+00:40:42,450 --> 00:40:47,690
+واحد و الحكي هذا من وين؟ من واحد لغاية مين يبقى
+
+400
+00:40:47,690 --> 00:40:52,490
+هاي السالب برا وهي ال limit لما P tends to
+
+401
+00:40:52,490 --> 00:40:58,270
+infinity و بدنا نعوض بالقيمة اللي فوق واحد على E
+
+402
+00:40:58,270 --> 00:41:06,490
+Os P ناقص واحد على E Os واحدلما بيبدأ تروح للمالة
+
+403
+00:41:06,490 --> 00:41:12,030
+نهاية ال term هذا كله بروح لوين؟ للمالة نهاية واحد
+
+404
+00:41:12,030 --> 00:41:16,630
+على المالة نهاية في جداش ب zero بضل الجواب سالب
+
+405
+00:41:16,630 --> 00:41:21,170
+سالب واحد على ايه؟ يعني واحد على ايه؟ واللي هي
+
+406
+00:41:21,170 --> 00:41:27,420
+عمليا حوالي سبعة وتلاتين من ميةيبقى صار التكامل
+
+407
+00:41:27,420 --> 00:41:33,480
+هذا converge ولا diverge؟ converge اللي أقل منه،
+
+408
+00:41:33,480 --> 00:41:38,720
+لأن هذه هي الكبيرة، الكبيرة converge، تكامل عليها،
+
+409
+00:41:38,720 --> 00:41:43,520
+يبقى التكامل على هذه الصغيرة converge من باب أولى
+
+410
+00:41:43,520 --> 00:41:48,760
+طبقا للنقطة الأولىمن ال comparison test يبقى باجي
+
+411
+00:41:48,760 --> 00:41:54,740
+بقول هنا سا تكامل من واحد الى infinity ل EOS نقص X
+
+412
+00:41:54,740 --> 00:42:01,100
+DX converge و بروح بقول هنا by the direct
+
+413
+00:42:01,100 --> 00:42:06,780
+comparison test التكامل من واحد الى infinity لل
+
+414
+00:42:06,780 --> 00:42:12,340
+EOS سالب X تربية DXConverge وانتهينا منها. إذا
+
+415
+00:42:12,340 --> 00:42:17,840
+حكمنا على المسألة هل هي Converge أو Diverge بدون
+
+416
+00:42:17,840 --> 00:42:23,200
+أن نقوم بإجراء عملية التكامل. المرة القادمة ان شاء
+
+417
+00:42:23,200 --> 00:42:29,440
+الله مزيد من الأمثلة لغليك فعلا تفرط مخك ويصير فكر
+
+418
+00:42:29,440 --> 00:42:31,840
+كويس ان شاء الله تعالى.
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/nj2fWhokPK4_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/nj2fWhokPK4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e162d1092b04608f0f4c2ebec9ec16d490935118
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/nj2fWhokPK4_postprocess.srt
@@ -0,0 +1,1972 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,120 --> 00:00:15,060
+بسم الله الرحمن الرحيم فدأنا من المرة الماضية من
+
+3
+00:00:15,060 --> 00:00:19,740
+موضوع ال power series بنذكر بما قلناه لأنه بناء
+
+4
+00:00:19,740 --> 00:00:24,440
+عليه بنبدأ ناخد أمثلة فقلنا ال power series عبارة
+
+5
+00:00:24,440 --> 00:00:30,020
+عن summation على a على cin x ناقص ال a to the
+
+6
+00:00:30,020 --> 00:00:35,460
+power nالسيريز هذه قد تكون converge وقد تكون
+
+7
+00:00:35,460 --> 00:00:41,620
+diverge تفاصيلات كتالة اي power series لها احد
+
+8
+00:00:41,620 --> 00:00:46,760
+ثلاثة احتمالات الاحتمال الاول ان السيريز تكون
+
+9
+00:00:46,760 --> 00:00:51,160
+converge عند نقطة واحدة وdiverge على باق ال real
+
+10
+00:00:51,160 --> 00:00:56,120
+line كله ان حدث ذلك يبقى ال radius of convergence
+
+11
+00:00:56,120 --> 00:01:00,910
+نصف قطرة تقارب r يساوي zeroممكن تبقى ال series
+
+12
+00:01:00,910 --> 00:01:05,990
+converge absolutely على كل real line بلا استثناء
+
+13
+00:01:05,990 --> 00:01:10,150
+يبقى في هذه الحالة بقول ال interval of convergence
+
+14
+00:01:10,150 --> 00:01:14,930
+هي من سلب infinity إلى infinity وال radius of
+
+15
+00:01:14,930 --> 00:01:20,230
+convergence R بده يساوي infinity الاحتمال الثالث
+
+16
+00:01:20,230 --> 00:01:24,330
+والاخير ان ال series تبقى converge على فترة و
+
+17
+00:01:24,330 --> 00:01:29,820
+diverge خارج هذه الفترةلما تبقى converge على
+
+18
+00:01:29,820 --> 00:01:33,520
+الفترة هذه و diverge خارجها بيظلوا طرفي ال
+
+19
+00:01:33,520 --> 00:01:38,320
+interval طرفي ال interval ممكن عند الطرفين تبقى ال
+
+20
+00:01:38,320 --> 00:01:42,500
+series converge عند الطرفين او ممكن تبقى diverge
+
+21
+00:01:42,500 --> 00:01:45,660
+عند الطرفين او ممكن تبقى ال convergence عند احد
+
+22
+00:01:45,660 --> 00:01:51,580
+الأطراف و diverge عند الطرف الثاني يبقى هذا
+
+23
+00:01:51,580 --> 00:01:56,580
+الاتكلمة ضال نصف القطر اللى يسوى طول نصف الفترة
+
+24
+00:01:56,740 --> 00:01:59,720
+بتبعت التقارب تبعت ال series تبعت التقارب تبعت ال
+
+25
+00:01:59,720 --> 00:02:02,140
+series تبعت التقارب تبعت ال series تبعت التقارب
+
+26
+00:02:02,140 --> 00:02:02,600
+تبعت التقارب تبعت التقارب تبعت التقارب تبعت
+
+27
+00:02:02,600 --> 00:02:04,100
+التقارب تبعت التقارب تبعت التقارب تبعت التقارب
+
+28
+00:02:04,100 --> 00:02:08,040
+تبعت التقارب تبعت التقارب تبعت التقارب تبعت
+
+29
+00:02:08,040 --> 00:02:14,140
+التقارب تبعت التقارب تبعت التقارب تبعت التقارب
+
+30
+00:02:14,140 --> 00:02:16,180
+تبعت التقارب تبعت التقارب تبعت التقارب تبعت
+
+31
+00:02:16,180 --> 00:02:16,740
+التقارب تبعت التقارب تبعت التقارب تبعت التقارب
+
+32
+00:02:16,740 --> 00:02:20,520
+تبعت التقارب تبعت التقارب تبعت التقارب تبعت
+
+33
+00:02:20,520 --> 00:02:25,480
+التقارب تبعت التقأخذ الـ absolute value للـ series
+
+34
+00:02:25,480 --> 00:02:31,820
+لكي نستطيع ان نطبق اي اختبار من الاختبارات السابقة
+
+35
+00:02:31,820 --> 00:02:35,580
+يبقى السؤال بيجيك حتى في الامتحان النهائي بيقول لي
+
+36
+00:02:35,580 --> 00:02:40,180
+هات ال interval of convergence and the radius of
+
+37
+00:02:40,180 --> 00:02:44,680
+convergence لل power series وبيعطيني اي power
+
+38
+00:02:44,680 --> 00:02:48,540
+series مثل ال power series اللي قدناها باجي بطلع
+
+39
+00:02:48,540 --> 00:02:54,140
+انامن الاختبار المناسب لهذه ال power series بطلع
+
+40
+00:02:54,140 --> 00:02:58,280
+لطبيعتها اذا سهل اخد الجذر النوني باخد الجذر
+
+41
+00:02:58,280 --> 00:03:02,520
+النوني مش سهل اوتوماتيك بروح عالميا على ال ratio
+
+42
+00:03:02,520 --> 00:03:07,260
+يبقى لما نطلع في المثل هذه سهل انه ناخد من الجذر
+
+43
+00:03:07,260 --> 00:03:13,330
+النوني اذا بروح بقوله ال road تساوي ال limitلما ال
+
+44
+00:03:13,330 --> 00:03:17,750
+N تنسب في دي لل absolute value، ال absolute قد لك
+
+45
+00:03:17,750 --> 00:03:21,950
+بسبب وجود ال X اللي أنا مش عارف هل هي سالب أو
+
+46
+00:03:21,950 --> 00:03:29,870
+موجبة، لمن؟ للجذر النوني للحد النوني N على 2 أُس N
+
+47
+00:03:29,870 --> 00:03:34,150
+في X ناقص ثلاثة to the power N وهي ال absolute
+
+48
+00:03:34,150 --> 00:03:39,040
+valueيبقى هذا الكلام بدي يساوي ال limit لما ال N
+
+49
+00:03:39,040 --> 00:03:46,320
+tends to infinity لمين؟ لل N على 2 في ال X ناقص 3
+
+50
+00:03:46,320 --> 00:03:52,100
+هو أيه ال absolute value طلّالي كويس في المثلة، ال
+
+51
+00:03:52,100 --> 00:03:58,140
+X ناقص 3 تعتبر constant بالنسبة لمين؟ لل M، إذا
+
+52
+00:03:58,140 --> 00:04:02,840
+أنا دي فيش فيه N، مالعيش دعوة بطلعها براالمقال
+
+53
+00:04:02,840 --> 00:04:07,640
+اللي عندنا يبقى يادة absolute value لل X ناقص
+
+54
+00:04:07,640 --> 00:04:14,880
+تلاتة limit
+
+55
+00:04:14,880 --> 00:04:20,960
+لل X ناقص تلاتة في مين؟ في limit لما ال N tends to
+
+56
+00:04:20,960 --> 00:04:25,000
+infinity لل N على اتنين
+
+57
+00:04:27,210 --> 00:04:33,690
+هذا الـ Limit ممكن يتساوي 0 وممكن يتساوي مقالة
+
+58
+00:04:33,690 --> 00:04:34,170
+نهائية
+
+59
+00:04:43,240 --> 00:04:48,520
+في الـ Limit يبقى بيعطينا Zero على طول الخط ما خل
+
+60
+00:04:48,520 --> 00:04:53,240
+ذلك يبقى هذا لا يمكن أن يساوي Zero وهذا مقالة
+
+61
+00:04:53,240 --> 00:04:57,820
+نهاية على طول الخط يبقى بده يساوي قداش مقالة نهاية
+
+62
+00:04:57,820 --> 00:05:03,360
+يبقى هذا بده يساوي مرة واحدة في التاريخ صفر لما ال
+
+63
+00:05:03,360 --> 00:05:07,960
+X بده يساوي قداش تلاتة وغيرها بده تكون Infinity
+
+64
+00:05:08,470 --> 00:05:19,490
+يبقى هذا الكلام بده يساوي Zero او X ناقص تلاتة في
+
+65
+00:05:19,490 --> 00:05:25,130
+Zero اللي هو بده يساوي Zero اقل من الواحد only
+
+66
+00:05:25,130 --> 00:05:32,950
+when اللي هو ال X يساوي تلاتةيبقى فقط لغير ابعد عن
+
+67
+00:05:32,950 --> 00:05:37,250
+التلاتة يمين او شمال بصير النتيجة infinity
+
+68
+00:05:37,250 --> 00:05:41,590
+وبالتالي ال series مالها diverged لحظة الكلام اللي
+
+69
+00:05:41,590 --> 00:05:44,730
+مكتوب عندك والنظر المرة اللي فات هو اللي أشرت اليه
+
+70
+00:05:44,730 --> 00:05:50,790
+قبل قليل أول نقطة بيقول ال series converge only at
+
+71
+00:05:50,790 --> 00:05:56,630
+x يساوي aوDiverge على يمين الـA وعلى شمال الـA
+
+72
+00:05:56,630 --> 00:06:01,550
+يعني لو كان عندنا real number وقلنا هذه النقطة
+
+73
+00:06:01,550 --> 00:06:06,210
+اللي هي تلاتة عند تلاتة النتيجة تساوي Zero
+
+74
+00:06:06,210 --> 00:06:10,840
+وبالتالي SeriesConverted عند النقطة هذه بتكون
+
+75
+00:06:10,840 --> 00:06:16,180
+Converted لكن غيرها على يمينها Diverged وعلى
+
+76
+00:06:16,180 --> 00:06:22,080
+شمالها مالها Diverged طبعا الـ Zero أقل من الواحد،
+
+77
+00:06:22,080 --> 00:06:25,680
+مدام أقل من واحد يبقى الـ Series لأن هذه مالها
+
+78
+00:06:25,680 --> 00:06:36,270
+Converted فبروح بقوله The Seriesconverge only at x
+
+79
+00:06:36,270 --> 00:06:45,410
+يسوى تلاتة and diverge elsewhere في أي مكان آخر
+
+80
+00:06:45,410 --> 00:06:49,850
+وفي هذه الحالة the radius
+
+81
+00:06:51,850 --> 00:07:02,250
+of convergence is R تساوي كده؟ تساوي Zero ايوة
+
+82
+00:07:02,250 --> 00:07:06,630
+تمام
+
+83
+00:07:06,630 --> 00:07:11,490
+استنى
+
+84
+00:07:11,490 --> 00:07:18,850
+شوية هذا الكلام بده يساوي هذا بده يساوي
+
+85
+00:07:36,680 --> 00:07:41,480
+وانت لما توصل تلاتة لما ال X توصل تلاتة بتكون N
+
+86
+00:07:41,480 --> 00:07:48,780
+وصلت لما لنهايةمين اللي بوصل في الأول؟ تعرفش؟ يعني
+
+87
+00:07:48,780 --> 00:07:51,340
+واحد، اتنين، تلاتة، التلاتة بتيجي بعد ما لنهاية
+
+88
+00:07:51,340 --> 00:07:53,960
+ولا قبلها؟ طيب خلاصنا
+
+89
+00:07:57,970 --> 00:08:02,530
+يبقى في مثل هذه الحالة بقول ان ال limit ساوي zero
+
+90
+00:08:02,530 --> 00:08:07,890
+only فقط إذا كانت x يساوي تلتة ما خلال ذلك كله ب
+
+91
+00:08:07,890 --> 00:08:11,130
+infinity عن ال series by values على يمين التلاتة
+
+92
+00:08:11,130 --> 00:08:16,110
+وعلى مين على شمال التلاتة يعني الأسئلة كلها سهلة
+
+93
+00:08:16,110 --> 00:08:21,890
+وبسيطة بالشكل هذا طبعا لأ مثال اتنين هذا من أبسط
+
+94
+00:08:21,890 --> 00:08:27,810
+أنواع الأمثلة summationمن M equal one to infinity
+
+95
+00:08:27,810 --> 00:08:35,710
+لل N factorial X to the power N على اتنين N
+
+96
+00:08:35,710 --> 00:08:41,330
+factorial واضح
+
+97
+00:08:41,330 --> 00:08:47,720
+ان عنده إياشفكتوريا يبقى بدي أخد اختبار ال ratio
+
+98
+00:08:47,720 --> 00:08:52,800
+بدي أقوله هنا ال raw تساوي ال limit لما ال int
+
+99
+00:08:52,800 --> 00:08:58,660
+tends to infinity لل absolute value للحد النوني
+
+100
+00:08:58,660 --> 00:09:04,320
+زائد واحد على الحد النونييبقى هذا الكلام بده يساوي
+
+101
+00:09:04,320 --> 00:09:08,520
+ال limit لما ال N tends to infinity هو هذا ال
+
+102
+00:09:08,520 --> 00:09:13,360
+absolute value الحد النوني زائد واحد اللي هو ال N
+
+103
+00:09:13,360 --> 00:09:22,540
+زائد واحد factorial X أس N زائد واحد على اتنين في
+
+104
+00:09:22,540 --> 00:09:30,490
+N زائد واحد كله factorial تقسيمن فاكتوريال X to
+
+105
+00:09:30,490 --> 00:09:35,330
+the power of N على اتنين N فاكتوريال وهي ال
+
+106
+00:09:35,330 --> 00:09:42,330
+absolute value نبدأ نحلل ونختصر يبجع را تساوي
+
+107
+00:09:42,330 --> 00:09:49,050
+limit لما ال N tends to infinity وهي ال absolute
+
+108
+00:09:49,050 --> 00:09:57,980
+value N زائد واحد في N فاكتوريالفى ال X فى X to
+
+109
+00:09:57,980 --> 00:10:03,220
+the power N المقام هذا اتنين في N زائد واحد يعني
+
+110
+00:10:03,220 --> 00:10:11,850
+اتنين N زائد اتنين يبقى اتنينزائد اتنين اتنين in
+
+111
+00:10:11,850 --> 00:10:18,930
+زائد واحد اتنين in factorial القسم هحوله الى ضرب
+
+112
+00:10:18,930 --> 00:10:24,050
+ونشقلب المقام اللى عندنا هيصير bust و ال bust
+
+113
+00:10:24,050 --> 00:10:30,980
+هيصير مقام بالشكل ان هذا هو ال absolute valueنختصر
+
+114
+00:10:30,980 --> 00:10:36,660
+الاختصارات N factorial مع N factorial X to the
+
+115
+00:10:36,660 --> 00:10:42,900
+power N مع X to the power N 2 N factorial مع 2 N
+
+116
+00:10:42,900 --> 00:10:51,610
+factorial هذا الجزء هو عبارة عن 2 في N زائد 1ن
+
+117
+00:10:51,610 --> 00:10:57,030
+زائد واحد مع ن زائد واحد الله يسهل عليها يبقى هيك
+
+118
+00:10:57,030 --> 00:11:01,270
+بيصير عندي absolute value ل X على اتنين هذا مالوش
+
+119
+00:11:01,270 --> 00:11:06,430
+دعوة بال M و هذا ال limit لما ال N tends to
+
+120
+00:11:06,430 --> 00:11:10,310
+infinity نجي ال bus ال bus كله مش ضايق فيه الا
+
+121
+00:11:10,310 --> 00:11:20,700
+واحد صحيح المقام ضايق لنا من اتنين N زائد واحدطيب
+
+122
+00:11:20,700 --> 00:11:27,480
+قداش ال limit لهذا المقدار؟ Zero تمام فال absolute
+
+123
+00:11:27,480 --> 00:11:33,180
+value ل X على 2 يبقى هذا absolute value ل X على 2
+
+124
+00:11:33,180 --> 00:11:39,100
+في Zero اللي هو بده يسوى Zero أقل من الواحد for
+
+125
+00:11:39,100 --> 00:11:47,680
+all Xماذا يعني for all x؟ يعني هل يمكن ل x إنه لو
+
+126
+00:11:47,680 --> 00:11:52,700
+أخدت قيمة محددة من سلب infinity إلى infinity تغير
+
+127
+00:11:52,700 --> 00:11:58,000
+هذه النتيجة؟ لأ، إذن النتيجة تساوي zero for all x
+
+128
+00:11:58,450 --> 00:12:03,090
+يعني النتيجة تساوي Zero على كل real line من سالب
+
+129
+00:12:03,090 --> 00:12:07,990
+infinity إلى infinity طبعا ال Zero ما لها أقل من
+
+130
+00:12:07,990 --> 00:12:12,410
+الواحد وانا استخدمت ال ratio test يبقى معنا هذا
+
+131
+00:12:12,410 --> 00:12:16,430
+الكلام من ال series ما لها converge يبقى باجي
+
+132
+00:12:16,430 --> 00:12:26,950
+بقوله by the ratio test the series converge
+
+133
+00:12:28,050 --> 00:12:35,030
+for all x ترجمة
+
+134
+00:12:35,030 --> 00:12:46,460
+بتقول لي the intervalof convergence is من سالب
+
+135
+00:12:46,460 --> 00:12:50,920
+infinity إلى infinity بدنا ال radius of
+
+136
+00:12:50,920 --> 00:12:58,640
+convergence فبروح بقوله the radius of convergence
+
+137
+00:12:58,640 --> 00:13:09,450
+is R تسوى كدهش infinityسؤال الاتنين هدول من عندما
+
+138
+00:13:09,450 --> 00:13:15,590
+حسبنا ال limit تجب المثال خلصت دايما المثال هيك؟
+
+139
+00:13:15,590 --> 00:13:20,870
+لا مش دايما هيك تعالى ناخد المثال رقم تلاتة ونشوف
+
+140
+00:13:20,870 --> 00:13:26,090
+هل هي دايما بهذا الشكل؟ والله ما هياش بهذا الشكل
+
+141
+00:13:26,090 --> 00:13:32,930
+سؤال التالت بيقول summation من n equal zero to
+
+142
+00:13:32,930 --> 00:13:41,810
+infinity لل NX to the power M على 4 to the power M
+
+143
+00:13:41,810 --> 00:13:46,670
+في M تربيع زائد واحد بهذا الشكل
+
+144
+00:13:51,670 --> 00:13:56,430
+سهل ناخد الجذر النوني؟ سهل، سهل، بس الـ GOS يبقى
+
+145
+00:13:56,430 --> 00:14:01,930
+أفضل اختباره اختبار مين؟ اختبار الـ Ratio Test
+
+146
+00:14:01,930 --> 00:14:10,390
+فبروح بقوله solution راتو ساوي، limit لما ال N
+
+147
+00:14:10,390 --> 00:14:15,820
+tends to infinity وهي absolute valueبنشيل كل N
+
+148
+00:14:15,820 --> 00:14:26,060
+ونحط مكانها N زائد واحد على أربع أس N زائد واحد N
+
+149
+00:14:26,060 --> 00:14:35,220
+زائد واحد لكل تربية زائد واحد تقسيم N X أس N على
+
+150
+00:14:35,220 --> 00:14:41,440
+أربع أس N N تربية زائد واحد وهي ال absolute value
+
+151
+00:14:43,400 --> 00:14:47,880
+هذه الترتيبة يبقى limit لما ال in tends to
+
+152
+00:14:47,880 --> 00:14:55,100
+infinity in زائد واحد هو يد x في x to the power in
+
+153
+00:14:55,100 --> 00:15:01,490
+هو يد اربع في اربع to the power inهذه الشباب اللي
+
+154
+00:15:01,490 --> 00:15:06,130
+ان تربية زيدي اتنين ان زيدي واحد وزيدي واحد يبقى
+
+155
+00:15:06,130 --> 00:15:14,070
+زيدي اتنين يبقى ان تربية زيدي اتنين ان زيدي اتنين
+
+156
+00:15:14,070 --> 00:15:20,390
+هذه أربعة to the power of n في الان تربية plus one
+
+157
+00:15:20,390 --> 00:15:25,310
+على ان في x to the power of n وهي ال absolute
+
+158
+00:15:25,310 --> 00:15:31,290
+valueنبدأ عملية الاختصارات ونشوف هذه بدأ تصف معنا
+
+159
+00:15:31,290 --> 00:15:36,850
+لحد وين يبقى هذا الكلام بده يساوي ال limit لما ال
+
+160
+00:15:36,850 --> 00:15:41,410
+N tends to infinity خلي بالك هنا أربعة to the
+
+161
+00:15:41,410 --> 00:15:46,470
+power N مع أربعة to the power N X to the power N
+
+162
+00:15:46,470 --> 00:15:55,780
+مع X to the power Nفى كمان ولا حاجة خلصنا يبقى هذا
+
+163
+00:15:55,780 --> 00:16:00,520
+الكلام بدى يساوي ال limit لل absolute value لمن؟
+
+164
+00:16:00,520 --> 00:16:11,270
+لل N زائد واحد N زائد واحد على M8 في N تربيع زائد
+
+165
+00:16:11,270 --> 00:16:19,690
+واحد على N تربيع زائد اتنين N زائد اتنين وضعي اللي
+
+166
+00:16:19,690 --> 00:16:26,410
+عندنا هنا قداش ربع يبقى يساوي الربع في ال limit
+
+167
+00:16:26,410 --> 00:16:30,270
+اللي عندنا تمام؟ وهذه ال absolute
+
+168
+00:16:34,920 --> 00:16:38,940
+يبقى absolute value للـ X على 4
+
+169
+00:16:48,210 --> 00:16:54,670
+أبسلوت فالي لل X على أربعة في limit لما ال N turns
+
+170
+00:16:54,670 --> 00:16:59,970
+to infinity و هذا كله مالوش دعوة في ال absolute
+
+171
+00:16:59,970 --> 00:17:06,720
+value لأن كله موجبه. يبقى النتيجةهذا الـ limit له
+
+172
+00:17:06,720 --> 00:17:11,980
+بقداش؟ واحد. وهذا بقداش؟ واحد. واحد زيه؟ لأن درجة
+
+173
+00:17:11,980 --> 00:17:15,940
+البسقى درجة المقام والمعامل هنا واحد والمعامل هنا
+
+174
+00:17:15,940 --> 00:17:21,520
+واحد. يبقى هذه ال limit كلها مرة واحدة بتقنى قداش؟
+
+175
+00:17:21,520 --> 00:17:27,630
+واحد. يبقى النتيجة absolute value لل X على أربع.لو
+
+176
+00:17:27,630 --> 00:17:31,530
+طلعل إلى النتيجة هنا اختلفت عن النتيجة في كل من
+
+177
+00:17:31,530 --> 00:17:40,170
+السؤالين السابقين يبقى هذه تمثل رو لو كانت هذه اقل
+
+178
+00:17:40,170 --> 00:17:46,120
+من الواحد ال seriesوإذا كانت أكبر من واحد، وإذا
+
+179
+00:17:46,120 --> 00:17:49,800
+كانت تسوى من واحد، فهو يفشل الاختبار، انه ال ratio
+
+180
+00:17:49,800 --> 00:17:53,860
+test. مظبوط؟ فبروح بقوله ماتي من حد ما توصل
+
+181
+00:17:53,860 --> 00:17:59,260
+للنتيجة التي بتقول ماتي. The series converge.
+
+182
+00:18:01,400 --> 00:18:08,660
+absolutely إذا كان absolute value لل X على 4 أقل
+
+183
+00:18:08,660 --> 00:18:16,340
+من 1 and diverge إذا كان ال absolute value لل X
+
+184
+00:18:16,340 --> 00:18:20,240
+على 4 أكبر من 1
+
+185
+00:18:40,730 --> 00:18:45,210
+مرة تانية استخدمنا ال ratio test و وصلنا الى
+
+186
+00:18:45,210 --> 00:18:49,450
+absolute value ل X على 4 هي قيمة ال limit فبعدين
+
+187
+00:18:49,450 --> 00:18:52,630
+بقول ان ال series converge absolutely اذا كان
+
+188
+00:18:52,630 --> 00:18:56,690
+absolute value ل X على 4 اقل من 1 و diverge اذا
+
+189
+00:18:56,690 --> 00:19:02,400
+اكبر من 1 لو حلنا ال inequality هذهيكون حلنا
+
+190
+00:19:02,400 --> 00:19:05,900
+لانقلة التانية واحنا مش دارين عن أنفسنا. إذا جيبنا
+
+191
+00:19:05,900 --> 00:19:09,340
+فترة التقارب، يبقى اللي بضل هو فترة مين؟ فترة
+
+192
+00:19:09,340 --> 00:19:14,000
+التباعة، تباعة المتسلسلة. يبقى باجي بقوله The
+
+193
+00:19:14,000 --> 00:19:22,660
+SeriesConverge F إذا كان ال absolute value ل X أقل
+
+194
+00:19:22,660 --> 00:19:29,340
+من 4 يعني إيش عمل ضربت الطرفين في أربع يعني هذا
+
+195
+00:19:29,340 --> 00:19:35,780
+معناه إن ال X أقل من أربع و أكبر من مين؟ من سالب
+
+196
+00:19:35,780 --> 00:19:41,320
+أربعبنأخد القمتين الأثنين اللي عندنا هدول فبجي
+
+197
+00:19:41,320 --> 00:19:46,440
+بقوله لو كانت ال X على سبيل المثال تساوي سالب
+
+198
+00:19:46,440 --> 00:19:54,300
+أربعة the series becomes يعني إيش بدك تسوي بالظبط؟
+
+199
+00:19:54,300 --> 00:19:59,260
+أه بدي أقول أن ده طرفي ال interval تبعد التقارب له
+
+200
+00:19:59,260 --> 00:20:03,040
+سالب أربعة و أربعة هل ال series converge؟ والله
+
+201
+00:20:03,040 --> 00:20:07,330
+diverse إذا diverse بكتب له open intervalوإذا كنت
+
+202
+00:20:07,330 --> 00:20:10,290
+فارغ فأخبره بـ Close and Tear وإذا كنت فارغ فأخبره
+
+203
+00:20:10,290 --> 00:20:10,450
+بـ Close and Tear وإذا كنت فارغ فأخبره بـ Close
+
+204
+00:20:10,450 --> 00:20:12,010
+and Tear وإذا كنت فارغ فأخبره بـ Close and Tear
+
+205
+00:20:12,010 --> 00:20:13,790
+وإذا كنت فارغ فأخبره بـ Close and Tear وإذا كنت
+
+206
+00:20:13,790 --> 00:20:14,010
+فارغ فأخبره بـ Close and Tear وإذا كنت فارغ فأخبره
+
+207
+00:20:14,010 --> 00:20:14,530
+بـ Close and Tear وإذا كنت فارغ فأخبره بـ Close
+
+208
+00:20:14,530 --> 00:20:16,410
+and Tear وإذا كنت فارغ فأخبره بـ Close and Tear
+
+209
+00:20:16,410 --> 00:20:21,550
+وإذا كنت فارغ فأخبره بـ Close and Tear وإذا كنت
+
+210
+00:20:21,550 --> 00:20:26,210
+فارغ فأخبره
+
+211
+00:20:26,210 --> 00:20:34,130
+بـ Close and Tear وإذا كنت فارغ فأخبره بـ
+
+212
+00:20:35,250 --> 00:20:41,990
+لمن؟ لل N سالب أربعة to the power N على أربعة to
+
+213
+00:20:41,990 --> 00:20:47,130
+the power N N تربية زائد واحد اللي هي ال summation
+
+214
+00:20:47,130 --> 00:20:51,310
+من N equal zero to infinityهذا يا شباب اللي هو
+
+215
+00:20:51,310 --> 00:20:56,550
+سالب واحد في أربعة يعني كأنه سالب واحد to the
+
+216
+00:20:56,550 --> 00:21:03,230
+power N في ال N في الأربعة to the power N على
+
+217
+00:21:03,230 --> 00:21:09,070
+أربعة to the power N في ال N تربية زائد واحد أربعة
+
+218
+00:21:09,070 --> 00:21:14,230
+to the power Nمع أربعة to the power N يبقى صارت
+
+219
+00:21:14,230 --> 00:21:19,410
+summation من N equal zero to infinity لسالب واحد
+
+220
+00:21:19,410 --> 00:21:28,550
+to the power N لل N على N تربية زائد واحد.إذن لما
+
+221
+00:21:28,550 --> 00:21:34,270
+كانت ال X ساوية سلب أربعة تحولت المسألة من power
+
+222
+00:21:34,270 --> 00:21:39,600
+series إلىالسيريز المتعاملين يبقى بدنا نروح كأن
+
+223
+00:21:39,600 --> 00:21:44,440
+هذه مسألة جديدة تمام؟ نروح نبحث السيريز هذه هل هي
+
+224
+00:21:44,440 --> 00:21:49,700
+converged او diverged فقوله والله كويس تعالى نشوف
+
+225
+00:21:49,700 --> 00:21:53,920
+يبقى بدي اخد السيريز of absolute value زي ما كنا
+
+226
+00:21:53,920 --> 00:22:00,940
+بنعمل في ال section السابق فبروح بقوله ايش هنا؟of
+
+227
+00:22:00,940 --> 00:22:08,280
+absolute values as summation من N equal zero to
+
+228
+00:22:08,280 --> 00:22:14,960
+infinity لل N على N تربيع زائد واحد شفوي لو بدى
+
+229
+00:22:14,960 --> 00:22:19,840
+استخدم الحد النوني كداش ال limit؟ زير يبقى بفش
+
+230
+00:22:19,840 --> 00:22:24,940
+الاختبار الحد النوني تكامل بتيجيان البسطى فضل مقام
+
+231
+00:22:24,940 --> 00:22:30,140
+بس بده جداش اتنين بس بتروح ادور على مين على الشروط
+
+232
+00:22:30,140 --> 00:22:33,420
+تلاقى وفه دي قصة بتطول اذا بتروح ادور على الشروط
+
+233
+00:22:33,420 --> 00:22:37,480
+تلاقى وبعدين هو هكامل لأ شوف لك اختبار تاني بقوله
+
+234
+00:22:37,480 --> 00:22:41,280
+اه لو بده اجي لل comparison بقولش اللي واحد بيضل
+
+235
+00:22:41,280 --> 00:22:46,510
+ال N على N تاربية يعني جداشعن طريق بيوجي هارمونيك
+
+236
+00:22:46,510 --> 00:22:51,850
+يبقى بدنا نمشي من اكبر والله اقل اكبر من فاجي
+
+237
+00:22:51,850 --> 00:22:58,570
+بقوله الحد انه نقول N على N تربية زائد واحد اكبر
+
+238
+00:22:58,570 --> 00:23:07,640
+من N على N تربية صحيةغلط هذا أجل طيب إذا بدي أكتب
+
+239
+00:23:07,640 --> 00:23:13,720
+الواحد بدلالة N تربيع مشان نجمعه نختصر يبقى زائد N
+
+240
+00:23:13,720 --> 00:23:20,400
+تربيع التساوي هذا ممكن ينفعبالشكل اللي عندنا هذا
+
+241
+00:23:20,400 --> 00:23:27,560
+طبعا عندي ال zero غير معرفة يبقى سيب الحد رقم zero
+
+242
+00:23:27,560 --> 00:23:33,940
+عند الواحد بيحدث التساوي يبقى من هنا كتبنا يبقى
+
+243
+00:23:33,940 --> 00:23:39,720
+هذا أكبر من هذا لو بده يساوي ال N على 2 N تربيع
+
+244
+00:23:39,720 --> 00:23:45,720
+يعني 1 على 2 N لكل ال N اللي أكبر من أو تساوي من
+
+245
+00:23:46,090 --> 00:23:51,090
+واحد يعني اهملنا أول حد من ال series وهذا لا يؤثر
+
+246
+00:23:51,090 --> 00:23:55,670
+لا على ال convergence ولا على ال divergence بقوله
+
+247
+00:23:55,670 --> 00:24:04,590
+but ولكن مص summation لواحد على n اللي هو diverge
+
+248
+00:24:04,590 --> 00:24:07,850
+harmonic series
+
+249
+00:24:09,700 --> 00:24:19,860
+by the comparison test, the series of absolute
+
+250
+00:24:19,860 --> 00:24:28,140
+values لصميمة لإن على إن تربية زائد واحد ما لها،
+
+251
+00:24:28,140 --> 00:24:35,730
+بيكفيش؟ بيكفيش، بدك تروح على الشروط التلاتةيبقى
+
+252
+00:24:35,730 --> 00:24:42,550
+باجي بقوله الشرط الأولاني AN اللي هو بتسوى N على N
+
+253
+00:24:42,550 --> 00:24:50,630
+تربية زائد واحد أكبر من ال zero لكل ال N اللي أكبر
+
+254
+00:24:50,630 --> 00:24:57,890
+من أو تسوى واحد هذا إيش معناه؟ معناه إن كل ال AN's
+
+255
+00:24:57,890 --> 00:24:59,130
+are positive
+
+256
+00:25:02,010 --> 00:25:04,830
+مظبوط؟ ال condition الأول اتحقق، بدا يجي لل
+
+257
+00:25:04,830 --> 00:25:10,110
+condition التانيالـ condition كان البص متغير
+
+258
+00:25:10,110 --> 00:25:16,210
+والمقام متغير يبقى مافي إمكانية إلا الاشتقاق يبقى
+
+259
+00:25:16,210 --> 00:25:22,050
+باجي بقوله ال F of X بدي يساوي ال X على X تربية
+
+260
+00:25:22,050 --> 00:25:27,430
+زائد واحد هذا بدي يطيلك ان F prime of X يساوي
+
+261
+00:25:27,430 --> 00:25:35,210
+المقام في مشتقة البص اللي بواحد ناقصالبسط اللي هو
+
+262
+00:25:35,210 --> 00:25:42,070
+ال X في مشتقتي المقام اللي هو ب2X كله على مربع
+
+263
+00:25:42,070 --> 00:25:47,190
+المقام الأصلي تربية بالشكل اللي عندنا هذا يبقى هذا
+
+264
+00:25:47,190 --> 00:25:53,490
+يبدو السبب هذي ناقص 2X تربية وعندي X تربية يبقى
+
+265
+00:25:53,490 --> 00:26:00,870
+بتضل X تربية واحدة على X تربية زائد واحد لكل تربية
+
+266
+00:26:00,870 --> 00:26:06,020
+علي بالا كدهاللي هو لما أطلع للنتيجة المقام دائما
+
+267
+00:26:06,020 --> 00:26:10,720
+و أبدا موجب ماعناه مشكلة فيه يبقى اللي بده يحدد
+
+268
+00:26:10,720 --> 00:26:15,100
+الإشارة لهذا المقدار هو أمام الـBus عند الواحد
+
+269
+00:26:15,100 --> 00:26:20,080
+بيصير الناتج بـ0 لكن عند اتنين، تلاتة، أربعة،
+
+270
+00:26:20,080 --> 00:26:26,080
+خمسة، أيه فما فوق يقوله بيصير سالم يبقى هذا أقل من
+
+271
+00:26:26,080 --> 00:26:32,300
+الـ0 لكل الـX اللي أكبر من أو تسوى منإتنين
+
+272
+00:26:32,300 --> 00:26:38,100
+وبالتالي كأنه إحنا أهملنا مين حدين وليس حد واحدة،
+
+273
+00:26:38,100 --> 00:26:43,560
+بأثرش هندي، مدام طلع أقل من ال zero يبقى ال series
+
+274
+00:26:43,560 --> 00:26:50,300
+اللي عندها دماغها decreasingيبقى السواء ال F is
+
+275
+00:26:50,300 --> 00:27:00,440
+decreasing for all x أكبر من او تسوى من اتنين تمام
+
+276
+00:27:00,440 --> 00:27:07,280
+تمام يبقى بالداجلة الشرق التالف بتروح اخد limit
+
+277
+00:27:07,280 --> 00:27:09,840
+لما ال intends to infinity
+
+278
+00:27:13,500 --> 00:27:20,160
+يبقى لل N على N تربيه الزاد واحد طبعا في صمم أمن
+
+279
+00:27:20,160 --> 00:27:23,800
+للمثلة تتطلع في ال polynomial في ال bus و ال
+
+280
+00:27:23,800 --> 00:27:27,460
+polynomial اللي في المقام إذا ضرية ال bus أقل من
+
+281
+00:27:27,460 --> 00:27:31,580
+ضرية المقام فإن الناتج يساويزيرو لكن احنا مش حالة
+
+282
+00:27:31,580 --> 00:27:36,320
+ملهات بنقول infinity على infinity يا اما بتجسم
+
+283
+00:27:36,320 --> 00:27:40,360
+البسط والمقام على ان المرفوع اللي اكبر قصف المقام
+
+284
+00:27:40,360 --> 00:27:44,920
+يا بتشتق البسط على مشتقة المقام اذا لو اشتقنا
+
+285
+00:27:44,920 --> 00:27:49,860
+البسط واحد على اتنين ان واحد على ما لنهاية بزيرو
+
+286
+00:27:49,860 --> 00:27:58,740
+يبقى تحقق الشروط التلاتة so the series converge
+
+287
+00:28:03,520 --> 00:28:09,280
+Conditionally at x يساوي سالم أربع
+
+288
+00:28:16,620 --> 00:28:21,140
+إذا الـ X تساوي أربعة، إيش بدي يكون شكل الـ
+
+289
+00:28:21,140 --> 00:28:28,020
+Series؟ The Series becomes تصبح على الشكل التالي
+
+290
+00:28:28,020 --> 00:28:32,820
+summation من N equal zero to infinityبالدرجة على
+
+291
+00:28:32,820 --> 00:28:38,640
+رأس المثال اللي موجود عندنا يبقى بيصير N أربعة to
+
+292
+00:28:38,640 --> 00:28:45,040
+the power N على أربعة to the power N تربيع زائد
+
+293
+00:28:45,040 --> 00:28:50,800
+واحد نختصر يبقى صارت summation من N equal zero to
+
+294
+00:28:50,800 --> 00:28:57,160
+infinity لل N على N تربيع زائد واحد أظن هي هذه
+
+295
+00:28:57,160 --> 00:29:03,140
+التي كنا بنشتغل عليها هناتمام؟ ليش كانت؟ بروحش
+
+296
+00:29:03,140 --> 00:29:09,300
+أعيد الكلام تاني بقول له هذا diverged from above
+
+297
+00:29:09,300 --> 00:29:16,780
+أثبتنا أعلاه يبقى خلاص ماروحش بكرره يبقى أصبح بناء
+
+298
+00:29:16,780 --> 00:29:20,520
+عليه the interval
+
+299
+00:29:21,380 --> 00:29:30,760
+of convergence is سالب أربعة وأربعة من عند الأربعة
+
+300
+00:29:30,760 --> 00:29:37,680
+بيبقى open من عند سالب أربعة بيبقى closed
+
+301
+00:29:44,600 --> 00:29:53,060
+of convergence is R تساوي مص الفترة هذه من سالب
+
+302
+00:29:53,060 --> 00:29:58,460
+اربع على اربع كده اش؟ تمانية نصها اربع على طول
+
+303
+00:29:58,460 --> 00:30:04,100
+الخط يبقى هذا النتيجة الان حد يلو يتساول هنا عاد
+
+304
+00:30:04,100 --> 00:30:09,380
+يبقى هذا ههلما نقول لك very important هذا الموضوع
+
+305
+00:30:09,380 --> 00:30:14,940
+لإنه عبارة عن ثلاثة أسئلة وليس سوال واحد، بتستخدم
+
+306
+00:30:14,940 --> 00:30:18,660
+فيه ال ratio test أو ال entrope و بعد هيك ممكن
+
+307
+00:30:18,660 --> 00:30:26,200
+أستخدم اختبار أو اتنين لحال بقية المثلة،
+
+308
+00:30:26,200 --> 00:30:29,460
+قالي كويس، احنا طلعنا
+
+309
+00:30:31,990 --> 00:30:37,030
+طلعنا الـRow تساوي القيمة اللي عندنا هذه بدي بقول
+
+310
+00:30:37,030 --> 00:30:40,630
+هذه قيمة روب تبقى ال series converge إذا كان هذا
+
+311
+00:30:40,630 --> 00:30:46,230
+الكلام أقل من الواحد الصحيح و by vary لو كان أكبر
+
+312
+00:30:46,230 --> 00:30:51,950
+من وين من الواحد الصحيح تمام؟ جينا مسكنا الانقلة
+
+313
+00:30:51,950 --> 00:30:56,150
+هذه وجينا نحلها ضربنا كله في أربعة ووصلنا لمين
+
+314
+00:30:56,150 --> 00:31:01,250
+للانقلة اللي عندنابروح أفحص لو كانت ال X تساوي
+
+315
+00:31:01,250 --> 00:31:06,950
+سالب أربعة يبقى كأنه احنا بدأنا سيريز جديدة زي
+
+316
+00:31:06,950 --> 00:31:11,890
+اللي جابه هذا ال section Alternating, Ratio
+
+317
+00:31:11,890 --> 00:31:16,150
+Tester, Intrude, Comparison, Limit Comparison,
+
+318
+00:31:16,550 --> 00:31:21,450
+Integral, Interval أي واحد فيهم يبقى صورة السيريز
+
+319
+00:31:21,450 --> 00:31:25,190
+على الشكل اللي عندنا هذا لما شيلنا ال X هذه و
+
+320
+00:31:25,190 --> 00:31:31,530
+حطينا مكان هجداشسالب أربعة أيها اختصرنا فوصلنا إلى
+
+321
+00:31:31,530 --> 00:31:35,250
+الشكل اللي عندنا هذا روحنا صارت هذه alternating
+
+322
+00:31:35,250 --> 00:31:38,670
+series فروحت أخدت ال series of absolute values
+
+323
+00:31:38,670 --> 00:31:42,530
+بالشكل هذا ابحث عن ال series هذه وجدتها by virg
+
+324
+00:31:42,820 --> 00:31:48,140
+يبقى بدى أروح على مين؟ على الشروط التلاتة، لإن ال
+
+325
+00:31:48,140 --> 00:31:51,340
+series of absolute values diverged من الsection
+
+326
+00:31:51,340 --> 00:31:55,340
+الماضي، قولنا بتروح على ثلاثة شروط، روحنا على
+
+327
+00:31:55,340 --> 00:31:59,860
+ثلاثة شروط ونجيناهم محققات، مدام تحققت الشروط
+
+328
+00:31:59,860 --> 00:32:02,280
+التلاتة، إذن عند ال X يساوي
+
+329
+00:32:08,020 --> 00:32:11,320
+خلصنا اذا عند النقطة x يساوي سالب اربعة بدنا نروح
+
+330
+00:32:11,320 --> 00:32:17,520
+لمين للنقطة التانية لل x يساوي اربعة شيلت ال x و
+
+331
+00:32:17,520 --> 00:32:22,250
+حطيت مكانها اربعةسرعت على الشكل هذا، اختصرنا طلعت
+
+332
+00:32:22,250 --> 00:32:25,890
+بالشكل هذا، من الجزء الأول في الحل هذا الـserious
+
+333
+00:32:25,890 --> 00:32:30,390
+-divergent بخلصناه يبقى فترة التقارب الفترة هذه و
+
+334
+00:32:30,390 --> 00:32:33,750
+radius of convergence نصف الفترة اللي هو الجزء
+
+335
+00:32:33,750 --> 00:32:39,250
+اللي عندنا هذا حد الويتس أو الآخر؟ كمان سؤال على
+
+336
+00:32:39,250 --> 00:32:40,170
+هذا الموضوع
+
+337
+00:33:12,350 --> 00:33:20,640
+سؤال الرابعبقول الـ summation ل-1 to the power n
+
+338
+00:33:20,640 --> 00:33:34,120
+2x-3 to the power n على 2n-1 بعد بطلع في المثلة
+
+339
+00:33:34,120 --> 00:33:43,120
+برضه ال ratio و لا ال inputالـ Ratio برضه لأن
+
+340
+00:33:43,120 --> 00:33:46,580
+المشكلة في المقام و ليس في الـ Bus يبقى بجي بقوله
+
+341
+00:33:46,580 --> 00:33:51,960
+هنا ال summation من عند ال N تساوي واحد لغاية
+
+342
+00:33:51,960 --> 00:33:57,400
+Infinity من عند ال N تساوي واحد لغاية Infinity
+
+343
+00:33:57,400 --> 00:34:03,950
+يبقى بجي بقوله رو تساوي ال limitلما انت تستخدم الـ
+
+344
+00:34:03,950 --> 00:34:04,990
+absolute value لإنفانيتي للإنفانيتي للإنفانيتي
+
+345
+00:34:04,990 --> 00:34:05,590
+للإفانيتي للإفانيتي للإفانيتي للإفانيتي للإفانيتي
+
+346
+00:34:05,590 --> 00:34:07,590
+للإفانيتي للإفانيتي للإفانيتي للإفانيتي للإفانيتي
+
+347
+00:34:07,590 --> 00:34:12,110
+للإفانيتي للإفانيتي للإفانيتي للإفانيتي للإفانيتي
+
+348
+00:34:12,110 --> 00:34:16,090
+للإفانيتي للإفانيتي للإفانيتي للإفانيتي للإفانيتي
+
+349
+00:34:16,090 --> 00:34:16,690
+للإفانيتي للإفانيتي للإفانيتي للإفانيتي للإفانيتي
+
+350
+00:34:16,690 --> 00:34:17,970
+للإفانيتي للإفانيتي للإفانيتي للإفانيتي للإفانيتي
+
+351
+00:34:17,970 --> 00:34:27,120
+للإفانيتي للإفاني2 في N زائد 1 ناقص 1 تقسيم 2X
+
+352
+00:34:27,120 --> 00:34:34,660
+ناقص 3 كله to the power N 2N ناقص 1 بهذا الشكل
+
+353
+00:34:39,000 --> 00:34:48,220
+ن زائد واحد يبقى هذا الكلام يبدو يساوي limit لما
+
+354
+00:34:48,220 --> 00:34:52,760
+ال N tends to infinity ل absolute value اتنين X
+
+355
+00:34:52,760 --> 00:34:58,700
+ناقص تلاتة اتنين X ناقص تلاتة كله to the power N
+
+356
+00:34:58,700 --> 00:35:05,340
+هذا عبارة عن اتنين N زائد واحدتنين ن ناقص واحد
+
+357
+00:35:05,340 --> 00:35:12,220
+تنين ن ناقص واحد تنين ن ناقص واحد تنين ن ناقص واحد
+
+358
+00:35:12,220 --> 00:35:14,260
+تنين ن ناقص واحد تنين ن ناقص واحد تنين ن ناقص واحد
+
+359
+00:35:14,260 --> 00:35:14,540
+تنين ن ناقص واحد تنين ن ناقص واحد تنين ن ناقص واحد
+
+360
+00:35:14,540 --> 00:35:15,400
+تنين ن ناقص واحد تنين ن ناقص واحد تنين ن ناقص واحد
+
+361
+00:35:15,400 --> 00:35:17,040
+تنين ن ناقص واحد تنين ن ناقص واحد تنين ن ناقص واحد
+
+362
+00:35:17,040 --> 00:35:21,000
+تنين ن ن ناقص واحد تنين ن ن ناقص واحد تنين ن ن
+
+363
+00:35:21,000 --> 00:35:27,450
+ناقص واحد تيبقى هذا الكلام بدرساوي absolute value
+
+364
+00:35:27,450 --> 00:35:31,870
+للإتنين x ناقص ثلاثة بطلعها برا لإنها مالهاش علاقة
+
+365
+00:35:31,870 --> 00:35:37,110
+بال N في ال limit لما ال N tends to infinity
+
+366
+00:35:37,110 --> 00:35:43,830
+للإتنين N ناقص واحد على الإتنين N زائد واحد ال
+
+367
+00:35:43,830 --> 00:35:50,610
+limit هذه كلها مقداشيبقى النتيجة تساوي absolute
+
+368
+00:35:50,610 --> 00:35:57,830
+value لإتنين X ناقص ثلاثة بروح بقول له the series
+
+369
+00:35:57,830 --> 00:36:01,230
+converge
+
+370
+00:36:01,230 --> 00:36:09,880
+absolutelyلو كانت 2x ناقص 3 ك absolute value أقل
+
+371
+00:36:09,880 --> 00:36:16,980
+من واحد, and diverge إذا كان absolute value لل 2x
+
+372
+00:36:16,980 --> 00:36:24,090
+ناقص 3 greater than 1الآن الـ Series Convey
+
+373
+00:36:24,090 --> 00:36:29,330
+Absolutely إذا كام بده و هحل ال Inquality لأن هذا
+
+374
+00:36:29,330 --> 00:36:35,090
+يبقى شبه سيرة أن اتنين X ناقص ثلاثة أقل من واحد و
+
+375
+00:36:35,090 --> 00:36:41,450
+أكبر من مين من سالب واحد ضيف ثلاثة للثلاثة أطراف
+
+376
+00:36:41,450 --> 00:36:49,190
+بصير اتنين أقل من اتنين Xأقل من مين؟ من أربعة هالي
+
+377
+00:36:49,190 --> 00:36:55,210
+شو بتديلك؟ لو قسمت على اتنين بصير واحد أقل من X
+
+378
+00:36:55,210 --> 00:37:02,470
+أقل من الإتنين كويس يبقى بدنا نروح نبحث عن كل نقطة
+
+379
+00:37:02,470 --> 00:37:07,790
+من هذه النقاط هالي ال series بتبقى converge و الله
+
+380
+00:37:07,790 --> 00:37:08,410
+diverse
+
+381
+00:37:18,690 --> 00:37:24,150
+بعدين بقوله لو كانت ال X تساوي واحد the series
+
+382
+00:37:24,150 --> 00:37:27,410
+becomes
+
+383
+00:37:27,410 --> 00:37:37,330
+تصبح على الشكل التاليequal one to infinity يبقى
+
+384
+00:37:37,330 --> 00:37:44,170
+هنا ناقص واحد to the power n يبقى
+
+385
+00:37:44,170 --> 00:37:52,790
+هنا ناقص واحد
+
+386
+00:37:52,790 --> 00:37:58,600
+to the power nعلى الاتنين N ناقص واحد يبقى
+
+387
+00:37:58,600 --> 00:38:03,700
+summation من N equal one to infinity إلى ناقص واحد
+
+388
+00:38:03,700 --> 00:38:10,780
+to the power two N على two N ناقص واحد يبقى هذه ال
+
+389
+00:38:10,780 --> 00:38:13,080
+series أظن alternating series
+
+390
+00:38:19,250 --> 00:38:24,750
+ما هيش alternating هذه series with positive terms
+
+391
+00:38:24,750 --> 00:38:29,570
+لإن الأس اللي عندي أس زوجي وبالتالي كل الحدود
+
+392
+00:38:29,570 --> 00:38:35,390
+موجبة بالاستثناء يبقى هذه هي ليست alternating
+
+393
+00:38:35,390 --> 00:38:41,710
+وإنما بتصبح واحد على اتنين إن ناقص واحد مباشرة
+
+394
+00:38:41,710 --> 00:38:43,570
+تمام؟
+
+395
+00:38:45,680 --> 00:38:50,670
+السالب واحد في السالب واحد ولا تجيبوه؟سالب واحد
+
+396
+00:38:50,670 --> 00:38:56,510
+لكل تربيع كل اس ان جداش بصير واحد واس ان يعني
+
+397
+00:38:56,510 --> 00:39:01,010
+بواحد على المقام ماشي كتبت هالك جملت مش اول مرة
+
+398
+00:39:01,010 --> 00:39:06,630
+يعني كتبت لك سالب واحد اس اتنين ان يساوي موجب على
+
+399
+00:39:06,630 --> 00:39:11,290
+طول الخط وكتبت لك سالب واحد اس اتنين ان ناقص واحد
+
+400
+00:39:11,290 --> 00:39:16,310
+او زائد واحد وهذه سالبة كل الحدود على طول الخط بلا
+
+401
+00:39:16,310 --> 00:39:20,010
+استثناءكتبتك النقطة تانية دول راجع ما هو مكتوب
+
+402
+00:39:20,010 --> 00:39:23,290
+معاك طيب بدي اجي ال series الان هذي اشوفها
+
+403
+00:39:23,290 --> 00:39:31,350
+converge و لا diverse شو نستخدمها؟ مين؟ comparison
+
+404
+00:39:31,350 --> 00:39:37,810
+و ال limit comparison بنفع؟ بنفع بدي اخد summation
+
+405
+00:39:37,810 --> 00:39:41,740
+المعادلة ان diverse و اجلب عليها تطلع n foldوتحت
+
+406
+00:39:41,740 --> 00:39:44,560
+اتنين الناقص واحدة باكسم كل الوصفة المقارنة لها
+
+407
+00:39:44,560 --> 00:39:48,380
+تطلع نص تطلع ال comparative يعني ال comparison وال
+
+408
+00:39:48,380 --> 00:39:53,040
+limit comparison والتكامل كمعنى بيجيبها كل ما على
+
+409
+00:39:53,040 --> 00:39:57,380
+الحد النوني هذا بيجيبهاشالـ ratio بيجيبها بس بيفشل
+
+410
+00:39:57,380 --> 00:40:01,240
+ال in through يبقى اتنقل لإيش ان ال limit لما
+
+411
+00:40:01,240 --> 00:40:04,680
+تقوله تطلع واحد صحيح بيقول بس بيفشل يبقى عندك
+
+412
+00:40:04,680 --> 00:40:09,140
+ثلاثة اختبارات أي واحد تستخدم منها بيجيبك الإجابة
+
+413
+00:40:09,140 --> 00:40:12,060
+ال integral test لسه بكتب حد الشروط التلاتة
+
+414
+00:40:12,060 --> 00:40:15,160
+positive and continuous equation بتطول الجثة هذه
+
+415
+00:40:15,160 --> 00:40:18,580
+لكن احنا بال comparison او ال limit comparison
+
+416
+00:40:18,580 --> 00:40:23,640
+بجيبها على طول الخط فلو جيت قلتله اتنين ان ناقص
+
+417
+00:40:23,640 --> 00:40:26,620
+واحداكبر من واحد على اتنين in
+
+418
+00:40:30,020 --> 00:40:34,940
+مش صحيح؟ تأكد منها صحيح و الله ما هو مش صحيح صحيح
+
+419
+00:40:34,940 --> 00:40:40,900
+مائة بالمائة و هذه اكبر من اتنين ان لكل الان اللي
+
+420
+00:40:40,900 --> 00:40:47,340
+اكبر من او تساوي جداش واحد صحيح تمام؟ يبقى هذا
+
+421
+00:40:47,340 --> 00:40:54,660
+معناه بطء ولكن summation او نص summation واحد على
+
+422
+00:40:54,660 --> 00:40:58,520
+ان diverse harmonic
+
+423
+00:41:00,510 --> 00:41:13,650
+بروح بقوله by the comparison test the series ال
+
+424
+00:41:13,650 --> 00:41:19,440
+summation واحد على اتنين N نقص واحدمن n equal one
+
+425
+00:41:19,440 --> 00:41:24,660
+to infinity مالها ضعيفة ضعيفة يجب أن أنتهينا منها
+
+426
+00:41:24,660 --> 00:41:30,060
+بدأ أروح أخد لو كانت ال X يساوي اتنين للنقطة
+
+427
+00:41:30,060 --> 00:41:35,880
+الثانية the series becomes
+
+428
+00:41:35,880 --> 00:41:41,840
+تصبح على الشكل التالي summation من n equal one to
+
+429
+00:41:41,840 --> 00:41:45,640
+infinity فاللي عليه كويس بدي أشيل X و أحط ما كان
+
+430
+00:41:45,640 --> 00:41:52,020
+اتنين اتنين في اتنيننقص ثلاثة بظل واحد اقص ان يبقى
+
+431
+00:41:52,020 --> 00:41:57,980
+في عندي برة سالب واحد to the power in واحد على
+
+432
+00:41:57,980 --> 00:42:03,840
+اتنين in ناقص واحديبقى هذه فعلا alternating مش زي
+
+433
+00:42:03,840 --> 00:42:08,500
+اللي قبلها يبقى مادام alternating بدنا نبدأ شغل ال
+
+434
+00:42:08,500 --> 00:42:17,960
+alternating بقول له the series of absolute values
+
+435
+00:42:17,960 --> 00:42:25,090
+as summation من n equal oneنقص واحد لواحد على
+
+436
+00:42:25,090 --> 00:42:31,050
+اتنين ان ناقص واحد طبعا لتحت بظل بتبينش ال
+
+437
+00:42:31,050 --> 00:42:34,950
+absolute ليش؟ لما عند الواحد فم فوق لا تأخذ إلا
+
+438
+00:42:34,950 --> 00:42:38,810
+قيما موجة بيبقى مكتوبش اللي ال absolute value
+
+439
+00:42:38,810 --> 00:42:44,010
+والسينازان ال diverge هي بينها فوق يبقى هذه
+
+440
+00:42:44,010 --> 00:42:48,410
+diverge from above
+
+441
+00:42:50,630 --> 00:42:55,690
+طبعا يبقى الشرف
+
+442
+00:42:55,690 --> 00:43:05,310
+الأول يعني كل الحدود are positive الشرف الثانيالحد
+
+443
+00:43:05,310 --> 00:43:12,030
+النوني اللي هو واحد على اتنين N ناقص واحد اكبر من
+
+444
+00:43:12,030 --> 00:43:20,170
+الحد النوني زائد واحد اللي هو واحد على اتنين في N
+
+445
+00:43:20,170 --> 00:43:27,130
+زائد واحد ناقص واحد يعني واحد على اتنين N زائد
+
+446
+00:43:27,130 --> 00:43:30,410
+واحد يبقى هنا decreasing
+
+447
+00:43:32,430 --> 00:43:39,750
+for all n أكبر من أو تساوي واحد الشرط التالت بدأ
+
+448
+00:43:39,750 --> 00:43:46,450
+يأخذ limit لان لما ال N tends to infinity يبقى
+
+449
+00:43:46,450 --> 00:43:54,390
+limit لما ال N tends to infinity لمن؟ لواحد على
+
+450
+00:43:54,390 --> 00:44:00,870
+اتنين N ناقص واحد ويساوي Zeroيبقى بناء عليه تحقق
+
+451
+00:44:00,870 --> 00:44:05,310
+الشروط التلاتة يبقى بروح بقوله the series converge
+
+452
+00:44:05,310 --> 00:44:11,490
+conditionally هذا بدي يعطيلك انه the series
+
+453
+00:44:11,490 --> 00:44:17,670
+summation من n equal one to infinity لواحد على
+
+454
+00:44:17,670 --> 00:44:24,650
+اتنين ان ناقص واحد converge conditionally
+
+455
+00:44:28,310 --> 00:44:38,250
+أصبحت the interval of convergence
+
+456
+00:44:38,250 --> 00:44:47,580
+is من عند الواحد لغاية اتنينعند الواحد في الأول
+
+457
+00:44:47,580 --> 00:44:53,000
+فلهت ال series عندنا نعلها diverge harmonic series
+
+458
+00:44:53,000 --> 00:44:57,100
+يبقى diverge مفتوحة مين عندي اتنين converge
+
+459
+00:44:57,100 --> 00:45:03,000
+conditionally يبقى هيقفلناها بهذا الشكلالان the
+
+460
+00:45:03,000 --> 00:45:09,700
+radius of convergence
+
+461
+00:45:09,700 --> 00:45:19,360
+is R تساوي نص الفترة هذه اتنين ناقص واحد على اتنين
+
+462
+00:45:19,360 --> 00:45:26,300
+يبقى ال R تساوي نصحتى الآن يا شباب احنا انتهينا من
+
+463
+00:45:26,300 --> 00:45:38,080
+نصف هذا section وباقية نصف الآخر الآن
+
+464
+00:45:38,080 --> 00:45:47,120
+بدنا نيجي للنصف الآخر لهذا section ايوة اه
+
+465
+00:45:47,120 --> 00:45:55,110
+هذه مش كاتبينها هاي سالب واحدهاي سالب واحد كله to
+
+466
+00:45:55,110 --> 00:45:57,970
+the power n، very conditional صحيح
+
+467
+00:46:01,490 --> 00:46:05,610
+يبقى بناء عليه حددنا فترة التقارب من الواحد
+
+468
+00:46:05,610 --> 00:46:10,010
+للاثنين وحددنا ال radius of convergence اللي هو R
+
+469
+00:46:10,010 --> 00:46:17,070
+يساوي كده اش يساوي نص الان يا شباب في عندنا نقطتين
+
+470
+00:46:17,070 --> 00:46:19,930
+ضايلات في هذا ال section اللي هو الجزء الثاني من
+
+471
+00:46:19,930 --> 00:46:23,470
+هذا ال section حاجة بنسميها اللي هو
+
+472
+00:46:23,470 --> 00:46:28,640
+differentiation term by term يعني ايش؟يعني ال
+
+473
+00:46:28,640 --> 00:46:32,420
+power series لما نكون كاتبينها بتروح أشتقها
+
+474
+00:46:32,420 --> 00:46:38,300
+وبالتالي بيده أشتق كل term من هذه ال terms والنقطة
+
+475
+00:46:38,300 --> 00:46:43,130
+الثانية اسمها integration terms by termsيعني
+
+476
+00:46:43,130 --> 00:46:49,790
+اكتكامل كمان كل حد من الحدود اللي عندنا لو رجعنا
+
+477
+00:46:49,790 --> 00:46:54,210
+لليه اشتقاق لو قلنا series تبدأ منها summation من
+
+478
+00:46:54,210 --> 00:46:59,250
+n equal zero to infinity لو كان الحد الأول
+
+479
+00:46:59,250 --> 00:47:04,490
+constant واشتقت يبقى الحد الأول اللي بده يطير لأن
+
+480
+00:47:04,490 --> 00:47:08,280
+مشتقة المقدمة ثابتة تبقى دائرةوبالتالي ال series
+
+481
+00:47:08,280 --> 00:47:13,220
+الأصلية هي ال series الجديدة بس ال summation بدل
+
+482
+00:47:13,220 --> 00:47:17,140
+من كان عند zero بده يصير من وين؟ من عند ال واحد
+
+483
+00:47:17,140 --> 00:47:21,160
+إذا ال series الأصلية converge على فترة يبقى ال
+
+484
+00:47:21,160 --> 00:47:26,680
+series المشتقة converge على نفس الفترة لو جينا
+
+485
+00:47:26,680 --> 00:47:30,500
+تكامل term by term هل ال index اللي تحت ال
+
+486
+00:47:30,500 --> 00:47:36,140
+summation بتغير؟الاندكس تحت ال summation تغير فان
+
+487
+00:47:36,140 --> 00:47:40,580
+هو ولا حد ولا term بطير بصير الاولاني بدل ما بصير
+
+488
+00:47:40,580 --> 00:47:44,440
+constant fixed والتاني كان constant fixed بصير
+
+489
+00:47:44,440 --> 00:47:49,240
+constant fixed تربيه على اتنين وهكذا يعني ولا حد
+
+490
+00:47:49,240 --> 00:47:53,760
+بينشطب من من من ال series وبالتالي ال summation
+
+491
+00:47:53,760 --> 00:47:56,340
+يبقى كما هو من صفر لغاية
+
+492
+00:48:12,110 --> 00:48:15,090
+النقطة الأولى يسمى differentiation term by term
+
+493
+00:48:15,090 --> 00:48:18,370
+النقطة الثانية يسمى integration term by term
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/oU8IuansJMw_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/oU8IuansJMw_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9db627ca3062e60f17c7e98f7bdf3eceab17b006
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/oU8IuansJMw_postprocess.srt
@@ -0,0 +1,1872 @@
+1
+00:00:10,020 --> 00:00:17,020
+المره الماضية كنا بنتحدث في اللي هو integration by
+
+2
+00:00:17,020 --> 00:00:22,000
+trigonometric substitution وهي الطريقة ثانية
+
+3
+00:00:22,000 --> 00:00:28,060
+للتعويض يعني حتى هذه اللحظة أخذنا طريقتينالطريقة
+
+4
+00:00:28,060 --> 00:00:32,080
+الأولى هي طريقة ال integration by parts والطريقة
+
+5
+00:00:32,080 --> 00:00:37,540
+الثانية هي طريقة التعويض بدالة مثلثية
+
+6
+00:00:37,540 --> 00:00:42,920
+trigonometric substitution وعرفنا انه في هذه
+
+7
+00:00:42,920 --> 00:00:48,720
+الطريقة الثانيةبنلجأ لها إذا كان عندي جذر تربيعي
+
+8
+00:00:48,720 --> 00:00:54,820
+أو قوس مرفوع لقوس N الأول بنتقل إلى الطريقة
+
+9
+00:00:54,820 --> 00:00:59,840
+الثالثة من طرق التكامل التي سندرسها في هذا ال
+
+10
+00:00:59,840 --> 00:01:04,300
+chapter إن شاء الله تعالى يبقى الطريقة الثانية هو
+
+11
+00:01:04,300 --> 00:01:08,080
+العنوان اللي احنا رافعينه اليوم وهو موضوع section
+
+12
+00:01:08,080 --> 00:01:13,510
+84يبقى العنوان اللى احنا راقينه integration of
+
+13
+00:01:13,510 --> 00:01:19,850
+rational functions يبقى تكامل الدوال النسبية by
+
+14
+00:01:19,850 --> 00:01:26,030
+partial fractions بواسطة الكثور الجزئية قبل ان
+
+15
+00:01:26,030 --> 00:01:32,190
+نبدأ بنحب نذكر تذكير بشيء أخدناه قبل ذلك وشيء لم
+
+16
+00:01:32,190 --> 00:01:38,290
+نأخذهه قبل ذلكفى الرابع الابتدائى اخدنا تجمع وطرح
+
+17
+00:01:38,290 --> 00:01:44,670
+الكثور الاعتيادية مظبوط فمثلا كنا بنقدر نجمع نص
+
+18
+00:01:44,670 --> 00:01:50,830
+زائد تلت من واحد المقامات كله على ستة وبعد هيك
+
+19
+00:01:50,830 --> 00:01:56,070
+بطلع المجموع جديش خمس أسداس اليوم لأ اليوم ده نعمل
+
+20
+00:01:56,070 --> 00:02:01,030
+العملية العكسية اللى عمرناش عملناها قبل ذلك لا فى
+
+21
+00:02:01,030 --> 00:02:06,080
+الابتدائىولا في الإعدادى ولا في الثانوي الرغم انه
+
+22
+00:02:06,080 --> 00:02:11,000
+اخدته partial fraction على نطاق بيق بسيط جدا في
+
+23
+00:02:11,000 --> 00:02:17,660
+الثانوية العامة يبقى هنا موضوعنا الكسر الواحد بدي
+
+24
+00:02:17,660 --> 00:02:23,020
+اجزءه الى مجموعة كسور مجموعة كسرين مجموعة ثلاثة
+
+25
+00:02:23,020 --> 00:02:28,060
+كسور مجموعة أربعة كسور حسب نوع الكسر اللى موجود
+
+26
+00:02:28,060 --> 00:02:34,390
+عندناولذلك قبل ان ابدأ في كيف بنعمل هالشغل هذي،
+
+27
+00:02:34,390 --> 00:02:38,050
+بدي اعطي تعريف بس لل rational function اللي احنا
+
+28
+00:02:38,050 --> 00:02:42,100
+جايلين عنهايبقى ال definition بيقول a rational
+
+29
+00:02:42,100 --> 00:02:48,140
+function R of X is defined as بنعرفها على إن هي
+
+30
+00:02:48,140 --> 00:02:54,580
+خارج قسم الدالتين F of X على G of X بحيث كل من F
+
+31
+00:02:54,580 --> 00:02:59,760
+of X و G of X كل واحدة فيهم عبارة عن polynomial
+
+32
+00:02:59,760 --> 00:03:05,060
+يعني كثيرة حدود في البصر لل F of X كثيرة حدود في
+
+33
+00:03:05,060 --> 00:03:10,660
+المقام اللي هي G of Xولا يوجد بينهم عوامل مشتركة
+
+34
+00:03:10,660 --> 00:03:15,180
+with no common factor يبقى ال F والG عبارة عن
+
+35
+00:03:15,180 --> 00:03:19,860
+كثيرات حدود with no common factors بدون عوامل
+
+36
+00:03:19,860 --> 00:03:24,300
+مشتركة من ال bus والمقام يعني بعبارة أخرى ال bus و
+
+37
+00:03:24,300 --> 00:03:28,220
+المقام مختصرة و جاهزة مش لسه بده أحلل ال bus و
+
+38
+00:03:28,220 --> 00:03:31,820
+أحلل المقام و أختصر لا لا ماعنيش لا يوجد عندي
+
+39
+00:03:31,820 --> 00:03:39,400
+عوامل مشتركة في هذه الحالة بقول هذههذه هي عملية ال
+
+40
+00:03:39,400 --> 00:03:45,310
+partial fractionsطب كويس، مدام أنا عندي polynomial
+
+41
+00:03:45,310 --> 00:03:50,330
+في ال bus و polynomial في المقام، إذن احتمال درجة
+
+42
+00:03:50,330 --> 00:03:55,510
+ال bus قد درجة المقام و احتمال ان درجة ال bus أعلى
+
+43
+00:03:55,510 --> 00:04:00,930
+من درجة المقام و الاحتمال الثالث والاخير ان درجة
+
+44
+00:04:00,930 --> 00:04:06,250
+ال bus أقل من درجة المقام طب لو قابلنا سؤال في
+
+45
+00:04:06,250 --> 00:04:10,290
+الحالات الثلاث، كيف بدنا نعمل؟ بنقول لك تطلع في
+
+46
+00:04:10,290 --> 00:04:16,430
+المثل قدامكإذا كانت درجة دالة البصر أكبر من أو
+
+47
+00:04:16,430 --> 00:04:23,830
+تساوي درجة دالة المقام، فنقسم قسمة مطولة ثم بعد
+
+48
+00:04:23,830 --> 00:04:28,280
+ذلك بنعمل partial fractionsيبقى بقول المرة
+
+49
+00:04:28,280 --> 00:04:32,140
+التانية، قبل المبدأ السؤال يبقى الطلافي درجتي
+
+50
+00:04:32,140 --> 00:04:37,400
+البصد والمقام، إذا درجة البصد أكبر من درجة المقام
+
+51
+00:04:37,400 --> 00:04:42,360
+أو درجة البصد قبل درجة المقام، بقسم قسمة مطولة
+
+52
+00:04:42,810 --> 00:04:48,270
+لغاية ما يصير عندي درجة ال bus أقل من درجة المقام
+
+53
+00:04:48,270 --> 00:04:54,010
+يعني ال partial fraction بدنا نعملها لمن؟ لل
+
+54
+00:04:54,010 --> 00:04:58,310
+polynomial اللي في ال bus اللي درجته أقل من درجة
+
+55
+00:04:58,310 --> 00:05:02,590
+ال polynomial اللي في المقام أصلا واضح كلامنا؟
+
+56
+00:05:02,900 --> 00:05:09,440
+وبالسؤال كيف سيتم ذلك؟ بنقول لك هنعطيك هذا الكلام
+
+57
+00:05:09,440 --> 00:05:14,700
+على شكل أربع نقاط، الآن بدنا نبدأ بالنقطة الأولى
+
+58
+00:05:15,310 --> 00:05:20,510
+النقطة الأولى بقول لو كانت درجة ال bus أقل من درجة
+
+59
+00:05:20,510 --> 00:05:24,890
+المقام تبقى دي اختصار لكلمة degree يا شباب D E G O
+
+60
+00:05:24,890 --> 00:05:30,130
+F يعني degree لدلة F أقل من degree لدلة G يعني
+
+61
+00:05:30,130 --> 00:05:35,470
+درجة دلة ال bus أقل من درجة دلة المقاموفي نفس
+
+62
+00:05:35,470 --> 00:05:38,850
+الوقت ال GeoVix اللي هي موجودة في المقام اللي
+
+63
+00:05:38,850 --> 00:05:45,030
+عندنا هذه is written as a product of distinct
+
+64
+00:05:45,030 --> 00:05:50,810
+first degree factors يعني درجتها في المقام GeoVix
+
+65
+00:05:50,810 --> 00:05:56,790
+بدي أحللها إلى عوامل من الدرجة الأولى أولى واحد
+
+66
+00:05:56,790 --> 00:06:03,520
+فيهم زي التانيالمقام مفاصل يعني not equal يعني not
+
+67
+00:06:03,520 --> 00:06:08,460
+repeated مافيش تكرار بين ولا جوز فيهم زي التاني كل
+
+68
+00:06:08,460 --> 00:06:13,640
+أقواص مختلفة أو عوامل مختلفة يبقى أول خطوة في عمل
+
+69
+00:06:13,640 --> 00:06:18,340
+اللي هو partial fractions بدي أحل القصور تبعت
+
+70
+00:06:18,340 --> 00:06:23,080
+المقام بدي أحل ال polynomial تبعت المقام إلى عوامل
+
+71
+00:06:23,080 --> 00:06:29,230
+من الدرجة الأولىحللت و الحمد لله اتطلعت وجدتم كلهم
+
+72
+00:06:29,230 --> 00:06:35,770
+ولا واحد زي التاني يبقى بدنا نبدأ نحط الكثور و
+
+73
+00:06:35,770 --> 00:06:40,090
+لذلك هروح نحطها و نوضحها من خلال المثال اللي
+
+74
+00:06:40,090 --> 00:06:45,430
+قدامنا هذا بعدين بتطلع ال bus من الدرجة الأولى
+
+75
+00:06:45,430 --> 00:06:49,870
+المقام من الدرجة جاهزين و خالصين لا بدنا نقسم جسم
+
+76
+00:06:49,870 --> 00:06:56,220
+مطولة ولا غيره يبقى تروح أحلمدالة المقام يبقى هذا
+
+77
+00:06:56,220 --> 00:07:01,800
+الكلام بده يساوي تكامل x زائد تلاتة على طبعا واضح
+
+78
+00:07:01,800 --> 00:07:07,440
+انه في عمل مشترك اللي هو 2 2x يبقى بده ياخد 2x عمل
+
+79
+00:07:07,440 --> 00:07:14,950
+مشترك من الطرف M بضال x تربيع ناقص 4 في dxخلصنا؟
+
+80
+00:07:14,950 --> 00:07:21,270
+لا ما خلصناش الجثة ده كذلك يمكن تحليله إلى قوسينين
+
+81
+00:07:21,270 --> 00:07:27,030
+لأن هذا الفرق بين المربعين يبقى بصير تكامل x زائد
+
+82
+00:07:27,030 --> 00:07:33,930
+تلاتة على اتنين x في x ناقص اتنين في x زائد اتنين
+
+83
+00:07:33,930 --> 00:07:35,430
+كله في dx
+
+84
+00:07:38,210 --> 00:07:42,950
+أذا حللنا المقام إلى أبسط العوامل الأولية وكلها
+
+85
+00:07:42,950 --> 00:07:47,610
+الحمد لله من الدرجة الأولى وولا واحد فيهم زي
+
+86
+00:07:47,610 --> 00:07:51,790
+التاني تمام؟ يبقى الحالة الأولى اللى بدنا نبدأها
+
+87
+00:07:51,790 --> 00:07:57,770
+هذه كل العناصر تبعت المقام كلها من الدرجة الأولى
+
+88
+00:07:57,770 --> 00:08:02,430
+وكل أرض السنك يعني ولا واحد زي التاني ملفصل على
+
+89
+00:08:02,430 --> 00:08:06,890
+البعض تماما الان بدنا نعمل عملية ال partial
+
+90
+00:08:06,890 --> 00:08:11,520
+fractionsأو تحويل الكسر إلى مجموعة من الكسور
+
+91
+00:08:11,520 --> 00:08:16,700
+الجزية بقول التكمل استنى علينا شوية هيك ع بال ما
+
+92
+00:08:16,700 --> 00:08:22,860
+نحطك في شكل جديد بروح بقول له هذا ال X زائد تلاتة
+
+93
+00:08:22,860 --> 00:08:29,040
+مقسم على اتنين X في X معقص اتنين في X زائد اتنين
+
+94
+00:08:29,040 --> 00:08:36,280
+يساويعندي تلت مقادير مختلفة بدي أعمل تلت كسور يبقى
+
+95
+00:08:36,280 --> 00:08:42,580
+الكسر الأول زي الكسر التاني زي الكسر التالت هذا
+
+96
+00:08:42,580 --> 00:08:50,400
+الأول اللي هو 2x التاني x ناقص 2 التالت x زي 2
+
+97
+00:08:50,400 --> 00:08:57,740
+الآن بدنا نروح نحط ال busاللي هو بحيث يكون درجته
+
+98
+00:08:57,740 --> 00:09:04,100
+أقل من درجة المقام اللي عندي بمقدار واحد فبهذا من
+
+99
+00:09:04,100 --> 00:09:08,680
+الدرجة الأولى، بيكون هذا كمان الدرجة الصفرية، يعني
+
+100
+00:09:08,680 --> 00:09:13,820
+constant إذا بقوله constant على المقدار الأول،
+
+101
+00:09:13,820 --> 00:09:17,680
+constant تاني على المقدار التاني، constant تالت
+
+102
+00:09:17,680 --> 00:09:23,530
+على المقدار التالت بالشكل اللي عندنا هذاإذا جزأت
+
+103
+00:09:23,530 --> 00:09:27,350
+الكثر اللي عندي إلى مجموعة من الكثور زي ما انت
+
+104
+00:09:27,350 --> 00:09:32,590
+شايف لكن قيمة A وB وC أنا حتى لان مش عارف يبقى
+
+105
+00:09:32,590 --> 00:09:39,730
+الشغل الان بده يجيب قيمة الكثور التلاتة A وB وC
+
+106
+00:09:40,380 --> 00:09:44,660
+الخطوة الأولى مشان نجيب هذا الكثور بديش يخليها
+
+107
+00:09:44,660 --> 00:09:49,760
+كثور زمية بدي اتخلص من الكثور يبقى مشان اتخلص من
+
+108
+00:09:49,760 --> 00:09:54,800
+الكثور بروح بضرب الطرفين في المقدار اللي عندنا هذا
+
+109
+00:09:54,800 --> 00:09:58,900
+بدك تكتب العرب يكتب، بدك تكتب الإنقليزي يكتب
+
+110
+00:09:58,900 --> 00:10:05,660
+multiply both sides by اتنين X X ناقص اتنين في X
+
+111
+00:10:05,660 --> 00:10:11,430
+زائد اتنين يبقى بضرب الطرفينفي اتنين اكس في اكس
+
+112
+00:10:11,430 --> 00:10:15,270
+ناقص اتنين في اكس زائد اتنين بنحصل عالم لما نجي
+
+113
+00:10:15,270 --> 00:10:19,870
+اضربهم هي ناحية اختصر و بيظل قداش اكس زائد تلاتة
+
+114
+00:10:19,870 --> 00:10:25,050
+يمكن بيصير عندنا اكس زائد تلاتة يساوي لما نقضه وجه
+
+115
+00:10:25,050 --> 00:10:28,270
+المقدار هي نباطين اتنين اكس مع اتنين اكس و بيظل
+
+116
+00:10:28,270 --> 00:10:36,080
+مينحاصل ضرب القوسين يبقى بيصير عندي a x نقص اتنين
+
+117
+00:10:36,080 --> 00:10:42,660
+x زائد اتنين بدي اجي اضربه هنا بصير عندنا زائد b
+
+118
+00:10:42,660 --> 00:10:51,780
+في اتنين x x زائد اتنين وهنا زائد c في اتنين x x
+
+119
+00:10:51,780 --> 00:10:58,880
+نقص اتنينأذا جيت على المعادلة اللي عندي هذه ضربت
+
+120
+00:10:58,880 --> 00:11:03,100
+الطرفين كله في المقدار اللي هو اتنين اكس اكس نقص
+
+121
+00:11:03,100 --> 00:11:07,180
+اتنين اكس زائد اتنين حصلت على المعادلة هذه يبقى
+
+122
+00:11:07,180 --> 00:11:14,720
+بطل يصير عندها كسور يبقى سعرة معادلة عادية تمام؟
+
+123
+00:11:15,930 --> 00:11:23,470
+الان هناك اكثر من طريقة للحصول على ثوابة A وB وC
+
+124
+00:11:23,470 --> 00:11:28,070
+بدنا نعلمك الآن طريقة واحدة ومن خلال الأمثلة
+
+125
+00:11:28,070 --> 00:11:32,770
+هنجيبك كمان طريقة وها كذا الطريقة الأولى بدك تحط
+
+126
+00:11:32,770 --> 00:11:38,310
+قيم ل X من عندك بإذن الله تضيع أكبر عدد ممكن من
+
+127
+00:11:38,310 --> 00:11:45,110
+المجاهيل و تخلي مجهول واحد عندك وبالتالي بجيبه وها
+
+128
+00:11:45,110 --> 00:11:51,640
+كذافمثلا افترض انا بدي اجيب المجهول a يبقى بدي
+
+129
+00:11:51,640 --> 00:11:56,140
+اضيع ال b و ال c مش ان اضيع ال b و ال c بدي اكون
+
+130
+00:11:56,140 --> 00:12:01,720
+هنا صفر و هنا a صفر يبقى الشغل فيدي لو حطيت x ب
+
+131
+00:12:01,720 --> 00:12:07,880
+zero بتملي هذا الكلام مظبوط يبقى ماجي بقوله هنا if
+
+132
+00:12:07,880 --> 00:12:16,220
+x تساوي zero thenعشان تشوف ايش اللي بده يصير، حط
+
+133
+00:12:16,220 --> 00:12:20,640
+اكسب زيرو، بيظل قداش هناك على الشمال تلاتة Zero
+
+134
+00:12:20,640 --> 00:12:27,240
+Zero بيظل ناقص اربعة في ايه و هذا Zero Zero مع
+
+135
+00:12:27,240 --> 00:12:34,460
+السلامة و منها ا تساوي سالب تلات تربع يبقى هاي
+
+136
+00:12:34,460 --> 00:12:40,320
+الجيب في قيمة ثابت ا مباشرة بعد هيك افترض اني بدي
+
+137
+00:12:40,320 --> 00:12:48,290
+اجيب بييبقى بدي أضيع A و بدي أضيع C بقول لو أخد X
+
+138
+00:12:48,290 --> 00:12:54,930
+ب 2 تمام؟ يبقى F X تساوي 2
+
+139
+00:12:57,800 --> 00:13:02,760
+أيش اللي بده يصير؟ هحط لهناك اتنين بصير اتنين زائد
+
+140
+00:13:02,760 --> 00:13:08,360
+تلاتة لو حطيت هنا اتنين بصير zero بطير بضل هنا
+
+141
+00:13:08,360 --> 00:13:14,960
+اتنين في اتنين باربع يبقى يساوي بي في اربع في
+
+142
+00:13:14,960 --> 00:13:22,810
+اتنين زائد اتنينوانا كده احط اتنين بالطير ب zero
+
+143
+00:13:22,810 --> 00:13:29,170
+يبقى براء ان عليه بصير عند هنا خمسة يساوي ستة عشر
+
+144
+00:13:29,170 --> 00:13:37,790
+P ومنها P يساوي خمسة على ستة عشربعد هيك جيبنا ال a
+
+145
+00:13:37,790 --> 00:13:43,990
+و ال b بدنا مام ال c بقول لو حطينا ال x بسامة
+
+146
+00:13:43,990 --> 00:13:49,150
+باتنين بطيروا الترميل الاتنين هدول يبقى باشي بقوله
+
+147
+00:13:49,150 --> 00:13:58,370
+if ال x يساوي سالب اتنين thenحطله سالب اتنين بصير
+
+148
+00:13:58,370 --> 00:14:04,450
+سالب اتنين زائد تلاتة بده يساوي سالب اتنين بصير ال
+
+149
+00:14:04,450 --> 00:14:09,490
+term اللي عندنا هذا ب zero بطير ال a سالب اتنين
+
+150
+00:14:09,490 --> 00:14:14,650
+يبقى بين ال cosine ب zero بطير ال b نيجي هنا سالب
+
+151
+00:14:14,650 --> 00:14:23,770
+اتنين في اتنين بسالد اربعيبقى سالب أربعة C في سالب
+
+152
+00:14:23,770 --> 00:14:29,190
+اتنين سالب اتنين يبقى سالب اتنين سالب اتنين معناه
+
+153
+00:14:29,190 --> 00:14:34,610
+واحد يبقى يسوى هذا سالب أربعة في سالب أربعة تموجب
+
+154
+00:14:34,610 --> 00:14:42,190
+ستاشر يبقى ستاشر C ومنها C يسوى واحد على كده؟ على
+
+155
+00:14:42,190 --> 00:14:48,540
+ستاشر تمام التمامخلصنا برجع على رأس المسألة تاني
+
+156
+00:14:48,540 --> 00:14:53,300
+اللي احنا كان عندنا اللي هو هذا الهمام الكثرة اللي
+
+157
+00:14:53,300 --> 00:14:59,080
+عندنا هذا يبقى التكامل اللي كان عندنا هو تكامل x
+
+158
+00:14:59,080 --> 00:15:09,220
+زائد 3 على 2x تكييب ناقص 8x dx يساوي تكاملهذا
+
+159
+00:15:09,220 --> 00:15:14,840
+الكسر أصبح عندي عبارة عن ثلاثة كسور، الكسر الأول
+
+160
+00:15:14,840 --> 00:15:20,720
+بدي أشيل ال a و أضع مكانها تلات تربع على مين؟ على
+
+161
+00:15:20,720 --> 00:15:27,920
+الإتنين xهو يزاد ال P خمسة على ستة عشر خمسة على
+
+162
+00:15:27,920 --> 00:15:34,880
+ستة عشر كله على X ناقص اتنين ان ال C له واحد على
+
+163
+00:15:34,880 --> 00:15:41,500
+ستة عشر كله على مين؟ على X زائد اتنين وهذا التكمل
+
+164
+00:15:41,500 --> 00:15:48,160
+كله بالنسبة لمين؟ لدي Xالآن هذا التكمل كان صعد
+
+165
+00:15:48,160 --> 00:15:54,000
+عليه جزاته إلى ثلاث تكملات و كلها الحمد لله تكملات
+
+166
+00:15:54,000 --> 00:15:59,540
+سهلة. يبقى باجي بقوله هذا ناقص تلات تربع و هو مش
+
+167
+00:15:59,540 --> 00:16:05,280
+تلات تربعه بس، هنا ناقص اللي هو تلات أتمان
+
+168
+00:16:17,820 --> 00:16:22,100
+تكامل 1 على X نقص 2 DX
+
+169
+00:16:37,250 --> 00:16:43,890
+التكامل الأول بصير انجدش هيناقص تلات أتمام للبس
+
+170
+00:16:43,890 --> 00:16:51,030
+طفول المقام يبقى لن absolute value للمقام خمسة على
+
+171
+00:16:51,030 --> 00:16:58,470
+ستاشر لن absolute value للمقام زائد واحدة على
+
+172
+00:16:58,470 --> 00:17:08,920
+ستاشر لن absolute value للمقام زائد constant Cحاجة
+
+173
+00:17:08,920 --> 00:17:13,820
+اللي هي تساؤل في الطريقة اللي قدامنا هذه بدي أجمل
+
+174
+00:17:13,820 --> 00:17:20,740
+باختصار حللنا المقام إلى مجموعة من العوامل الأولية
+
+175
+00:17:20,740 --> 00:17:25,840
+فلعت في العوامل الأولية ولا واحد زي التانييبقى
+
+176
+00:17:25,840 --> 00:17:31,380
+طريقة عمل الكثور الجزئية بقول constant على الكعامل
+
+177
+00:17:31,380 --> 00:17:35,160
+الأول constant على العامل التاني constant على
+
+178
+00:17:35,160 --> 00:17:39,560
+العامل التالت بعد ذلك بروح بدرب في المقام اللي
+
+179
+00:17:39,560 --> 00:17:45,200
+عنده هذي بيبطل يصير عندي كثور بظل عملية إيجاد ال
+
+180
+00:17:45,200 --> 00:17:51,040
+constants بحط قيم ل X من عندي ومنها بطلع قيم من
+
+181
+00:17:51,040 --> 00:17:58,440
+هذه الثوابتبعد ما نطلعها بيصير التكاملات سهلة جدا
+
+182
+00:17:58,440 --> 00:18:16,420
+زي ما انت شايف نجي ناخد كمان مثال هذا
+
+183
+00:18:16,420 --> 00:18:24,330
+كان نمرا ايه خدلي نمرا بيهنمر بيه بنتكامل لمن؟ لل
+
+184
+00:18:24,330 --> 00:18:32,850
+X تربية زائد تلاتة على X تربية ماقص تلاتة X زائد
+
+185
+00:18:32,850 --> 00:18:34,470
+اتنين DX
+
+186
+00:18:40,600 --> 00:18:44,920
+السؤال اللي جابله كان المقام مقدرين، هنا ثلاثة
+
+187
+00:18:44,920 --> 00:18:49,180
+مقادير، مقدار والله مقدرين ما مشكلة، بس انت استخدم
+
+188
+00:18:49,180 --> 00:18:54,640
+التحليل اللي درسناه في الصف الثامن وكذلك في الصف
+
+189
+00:18:54,640 --> 00:19:00,280
+التاسع، استخدمناه كتير، لذا بدنا نروح نعمل تحليل
+
+190
+00:19:00,280 --> 00:19:08,310
+المقاميبقى هذا هو عبارة عن تكامل x² plus 3 على x²
+
+191
+00:19:08,310 --> 00:19:14,530
+minus 3 x plus 2 بدنا نحلل المقام اللي عندنا هذا
+
+192
+00:19:14,530 --> 00:19:21,070
+إلى حاصل ضرب قوسين يبقى هذا القوس الأول وهذا القوس
+
+193
+00:19:21,070 --> 00:19:28,900
+التاني وهذا كله بالنسبة إلى dx يبقى x وهنا xطبعا
+
+194
+00:19:28,900 --> 00:19:38,000
+وهذا واحد وهنا اتنين وهنا ناقص وهنا ناقص أي ناقص X
+
+195
+00:19:38,000 --> 00:19:44,200
+وناقص 2X بناقص 3X تبقى تحليلنا سليم بالمائة بعد
+
+196
+00:19:44,200 --> 00:19:50,030
+هيكبطلع فيه المقامة، بس احنا غلطنا يا شباب ولا لا؟
+
+197
+00:19:50,030 --> 00:19:56,190
+اه، يعني الأصل لما الجسم مطول يجيب الكل شيء، يبقى
+
+198
+00:19:56,190 --> 00:20:00,650
+اه، احنا غلطنا و بدنا شيء؟ انا كنت غلط و غلطتنا،
+
+199
+00:20:00,650 --> 00:20:05,230
+اه دي ما بقالكوا اه، يبقى أول شغلة بدك تعملها، بدك
+
+200
+00:20:05,230 --> 00:20:10,510
+تجسم جسم مطولة ثم تلجأ إلى مين؟ إلى هذا التعليم،
+
+201
+00:20:10,510 --> 00:20:16,950
+بسيطة جدا، اسمه يعلنيبقى لو رحت جسمت جسمة مطولة
+
+202
+00:20:16,950 --> 00:20:23,310
+بدي أجسم x ثربية زائد تلاتة على x ثربية ناقص ثلاثة
+
+203
+00:20:23,310 --> 00:20:25,250
+x زائد اتنين
+
+204
+00:20:28,700 --> 00:20:33,480
+واحد والباقي كله بالحجيب واحد X تربية ب X تربية
+
+205
+00:20:33,480 --> 00:20:41,160
+وهنا ناقص ثلاثة X وهنا زائد اتنين بنغير الإشارات
+
+206
+00:20:41,160 --> 00:20:47,680
+وبنجمع مع السلامة صار ان هنا تلاتة X مافيش غيرها
+
+207
+00:20:47,680 --> 00:20:53,550
+وهنا زائد واحدالباقي من الدرجة الأولى والمقصوم
+
+208
+00:20:53,550 --> 00:20:58,750
+عليه من الدرجة الثانية يبقى بيخلي كل شيء زي ما هو
+
+209
+00:20:58,750 --> 00:21:04,090
+بروح بقول هذا الكلام يسوى تكم الخارج القسمة هو
+
+210
+00:21:04,090 --> 00:21:11,070
+واحد وزائد جدش الباقي ثلاثة اكس زائد واحدعلى
+
+211
+00:21:11,070 --> 00:21:18,330
+المقام اللي هو x ناقص واحد في x ناقص اتنين dx يبقى
+
+212
+00:21:18,330 --> 00:21:22,850
+هذه هي الخطوة الثانية تغري مباشرة
+
+213
+00:21:25,080 --> 00:21:29,320
+طيب هالحين بنروح أعمل partial fraction لهذه فبقول
+
+214
+00:21:29,320 --> 00:21:34,260
+التكامل استنى شوية هنرجعلك تاني و بروح باخد
+
+215
+00:21:34,260 --> 00:21:39,480
+التلاتة x زائد واحد على x ناقص واحد في x ناقص
+
+216
+00:21:39,480 --> 00:21:45,600
+اتنين هذا الكثر الأول وهذا الكثر التاني x ناقص
+
+217
+00:21:45,600 --> 00:21:50,200
+اتنين مقامات الكثرينمن الدرجة الأولى ومن الدرجة
+
+218
+00:21:50,200 --> 00:21:55,360
+الأولى واحد زائد تاني يبقى كل صندع على الأول وكل
+
+219
+00:21:55,360 --> 00:22:01,260
+صندع على الثاني ويجب أن نجيب كله من A وB ونضرب
+
+220
+00:22:01,260 --> 00:22:06,400
+الطرفين في مين؟ في المقام اللي عندنا هنا يبقى 3X
+
+221
+00:22:06,400 --> 00:22:15,240
+زائد 1 يساوي A في X ناقص 2 زائد B في X ناقص 1باجي
+
+222
+00:22:15,240 --> 00:22:23,120
+بقوله لو كانت ال X تساوي واحد ثم تلاتة زائد واحد
+
+223
+00:22:23,120 --> 00:22:31,440
+بده يساوي ناقص A وهذا مع السلامة ومنها A تساوي
+
+224
+00:22:31,440 --> 00:22:40,190
+سالب أربعاللي بعدها، لو كانت ال X يساوي اتنين، لو
+
+225
+00:22:40,190 --> 00:22:44,670
+كانت ال X بده يساوي اتنين، ببطل ال A و بضل ال B
+
+226
+00:22:44,670 --> 00:22:53,920
+يبقى then اتنين في تلاتة، تلاتة في اتنينتلاتة في
+
+227
+00:22:53,920 --> 00:23:01,260
+اتنين زائد واحد بده يساوي اها بنا نحط اتنين و نحط
+
+228
+00:23:01,260 --> 00:23:04,960
+اتنين بالقير اتنين ناقص واحد و بيبقى الواحد اللي
+
+229
+00:23:04,960 --> 00:23:12,860
+هو جداش بيه و منها بيه تساوي سبعةيبقى صارت مثلتنا
+
+230
+00:23:12,860 --> 00:23:19,900
+هذه على الشكل التالي تكامل لل X سربيع زائد تلاتة
+
+231
+00:23:19,900 --> 00:23:26,080
+على X سربيع ناقص ثلاثة X زائد اتنين DX بده يساوي
+
+232
+00:23:26,080 --> 00:23:32,010
+تكاملالـ a عندنا بـ سالب أربعة يبقى سالب أربعة على
+
+233
+00:23:32,010 --> 00:23:38,690
+مين؟ على x ناقص واحد و هنا زائد سبعة على x ناقص
+
+234
+00:23:38,690 --> 00:23:45,810
+نسيت الواحد يساوي الواحد الأول هذا واحد و هنا ناقص
+
+235
+00:23:45,810 --> 00:23:52,910
+أربعة على x ناقص واحد زائد سبعة على x ناقص اتنين
+
+236
+00:23:52,910 --> 00:24:00,380
+كله بالنسبة لمين؟ إلى دييبقى هذا الكلام يساوي X
+
+237
+00:24:00,380 --> 00:24:06,080
+ناقص أربعة لين absolute value لل X ناقص واحد زي
+
+238
+00:24:06,080 --> 00:24:11,360
+السؤال اللي جابله مباشرة زائد سبعة لين absolute
+
+239
+00:24:11,360 --> 00:24:16,700
+value لل X ناقص اتنين زائد constant C
+
+240
+00:24:28,090 --> 00:24:34,030
+طيب انتهينا من النقطة الأولى في هذا ال section وهي
+
+241
+00:24:34,030 --> 00:24:39,690
+نقطة تحليل المقام إلى عوامل من الدرجة الأولى
+
+242
+00:24:39,690 --> 00:24:45,850
+ومختلفة ننتقل الآن إلى النقطة الثانية النقطة
+
+243
+00:24:45,850 --> 00:24:54,500
+الثانية Fالـ degree لل F أقل من ال degree لل G and
+
+244
+00:24:54,500 --> 00:25:00,860
+ال G of X is
+
+245
+00:25:00,860 --> 00:25:11,320
+written as
+
+246
+00:25:11,320 --> 00:25:12,360
+repeated
+
+247
+00:25:19,560 --> 00:25:27,040
+is written as repeated first degree first degree
+
+248
+00:25:27,040 --> 00:25:30,240
+factors
+
+249
+00:25:30,240 --> 00:25:43,160
+first degree factors يبقى example evaluate
+
+250
+00:25:43,160 --> 00:25:46,200
+the
+
+251
+00:25:46,200 --> 00:25:46,780
+following
+
+252
+00:25:52,530 --> 00:26:00,810
+انتجرالات سابلي التكاملات التالية نمر a بدنا تكامل
+
+253
+00:26:00,810 --> 00:26:10,130
+لإتنين x تربيع زائد تلاتة x زائد تلاتة كله مقسم
+
+254
+00:26:10,130 --> 00:26:15,510
+على x زائد واحد الكل تكييب dx
+
+255
+00:26:20,870 --> 00:26:25,550
+يبقى بدنا نجل النقطة الثانية في هذا ال section وهي
+
+256
+00:26:25,550 --> 00:26:32,170
+درجة البسط نزالة أقل من درجة المقام، دالة المقام
+
+257
+00:26:32,170 --> 00:26:36,830
+حللناها إلى عوامل والحمد لله كلهم طلعوا زي بعض
+
+258
+00:26:37,300 --> 00:26:42,480
+بعدها نقول as repeated مكرر first degree factor
+
+259
+00:26:42,480 --> 00:26:47,700
+كلها عوامل من الدرجة الأولى ومكررة الجثة الأولى في
+
+260
+00:26:47,700 --> 00:26:52,340
+المقام مثل الجثة التانية كلها مثل بعضها نبدأ نشوف
+
+261
+00:26:52,340 --> 00:26:56,520
+كيف نعمل في مثل هذه المسائل يعني هذه مايحانة مش
+
+262
+00:26:56,520 --> 00:27:00,480
+لسه بتروح أدور كيف تتحلل محلل أو خالص أو لو
+
+263
+00:27:00,480 --> 00:27:05,360
+حللناها نتيجة التحليل كلها طلعت أقواص مثل بعضها
+
+264
+00:27:05,360 --> 00:27:11,440
+تمامابقول كويسة ال bus من الدرجة لو فكيت المقام
+
+265
+00:27:11,440 --> 00:27:15,840
+بسير من الدرجة تالتة يبقى احنا جاهزين درجة ال bus
+
+266
+00:27:15,840 --> 00:27:23,160
+اقل من درجة المقام باجل الكسر 2x تربيه زائد 3x
+
+267
+00:27:23,160 --> 00:27:32,460
+زائد 3 على x زائد 1 الكل تكيب ويساويبدي اعمل كسور
+
+268
+00:27:32,460 --> 00:27:38,260
+جد عدد مرات التكرار جداش عدد مرات التكرار الجثة ده
+
+269
+00:27:38,260 --> 00:27:44,000
+تلت مرات يبقى بدي اعمل تلت كسور عندي يبقى هذا
+
+270
+00:27:44,000 --> 00:27:49,680
+الكسر الأول زائد الكسر التاني زائد الكسر التالت
+
+271
+00:27:49,680 --> 00:27:57,760
+نيجي لمقام الكسر الأول بحط x زائد واحدوهنا كمان x
+
+272
+00:27:57,760 --> 00:28:04,800
+زائد واحد لكل تربية وهنا x زائد واحد لكل تكييب بعد
+
+273
+00:28:04,800 --> 00:28:10,520
+ذلك هذا من الدرجة الأولى بحط مقدار ثابت هذا من
+
+274
+00:28:10,520 --> 00:28:16,300
+الدرجة الأولى ومكرر بحط مقدار ثابت هذا من الدرجة
+
+275
+00:28:16,300 --> 00:28:23,610
+الأولى ومكرر بحط مقدار ثابتالان الان انتوا وانتوا
+
+276
+00:28:23,610 --> 00:28:27,330
+قاعدين وكتبتوا هذا فيه في دماغ الكثير منكم مجموعة
+
+277
+00:28:27,330 --> 00:28:31,750
+من الأسئلة، تمام؟ السؤال الأول، بدا أسأل ورايحك،
+
+278
+00:28:31,750 --> 00:28:35,790
+نزل يدك، أنا مرايحك، بدا أسأل بدالك و اجاوب، عارف
+
+279
+00:28:35,790 --> 00:28:42,190
+ايش اللي بدك ايه؟تمام الأول ليش هدول هذا قص واحد و
+
+280
+00:28:42,190 --> 00:28:46,190
+هذا مكان خلينا مش تلاتة يبقى الجوز و نفس الجوز و
+
+281
+00:28:46,190 --> 00:28:51,050
+نفس الجوز مش هيك هذا هو السؤال الأول مظبوط يعني
+
+282
+00:28:51,050 --> 00:28:55,430
+بدل قص واحد قص اتنين قص تلاتة ما هم تكعيب بقول
+
+283
+00:28:55,430 --> 00:28:59,460
+الجوز الأول جوز التاني و الجوز ده بقولكمليح بدوافق
+
+284
+00:28:59,460 --> 00:29:04,040
+معاك طب تعالي نجمعهم كمان و مرة و نرجعهم إلى أصلهم
+
+285
+00:29:04,040 --> 00:29:09,760
+جدش المضاعف المشترك لتلاتة X زائد واحد بيصير
+
+286
+00:29:09,760 --> 00:29:14,860
+constant زائد constant زائد constant هل هو هذا؟
+
+287
+00:29:14,860 --> 00:29:20,460
+طبعا لأ يبقى سؤالك من أساسه خاطئ ماشي الحال يبقى
+
+288
+00:29:20,460 --> 00:29:24,820
+حطه على الشجرة خلصنا منه يبقى من حد ما تلاقي جوز
+
+289
+00:29:24,820 --> 00:29:30,010
+تربيه بديعمل كثرينتكعيب تلت كسور تكعيب تلت كسور
+
+290
+00:29:30,010 --> 00:29:32,690
+تكعيب تلت كسور تكعيب تلت كسور تكعيب تلت كسور تكعيب
+
+291
+00:29:32,690 --> 00:29:38,410
+تلت كسور تكعيب تلت كسور تكعيب تلت كسور تكعيب تلت
+
+292
+00:29:38,410 --> 00:29:41,330
+كسور تكعيب تلت كسور تكعيب تلت كسور تكعيب تلت كسور
+
+293
+00:29:41,330 --> 00:29:43,550
+تكعيب تلت كسور تكعيب تلت كسور تكعيب تلت كسور تكعيب
+
+294
+00:29:43,550 --> 00:29:49,210
+تلت كسور تكعيب تلت كسور تكعيب تلت كسور تكعيب تلت
+
+295
+00:29:49,210 --> 00:29:56,420
+كسور تكعيب تلت كسور تكعيهذا لو جيت فاكرته بقول من
+
+296
+00:29:56,420 --> 00:29:59,940
+الدرجة التانية بقولك صحيح بس احنا بنقول ان ال
+
+297
+00:29:59,940 --> 00:30:04,960
+ghost هدا هو نفس ال ghost هدا بس كررناه مرتين، اذا
+
+298
+00:30:04,960 --> 00:30:09,240
+بكتعمل كأنه مرتين موجودة و بحط بس constant فقط لا
+
+299
+00:30:09,240 --> 00:30:14,980
+غيروهنا نفس الطريقة من الدرجة الأولى ومكرر يبقى
+
+300
+00:30:14,980 --> 00:30:20,300
+كونستان فقط، تمام؟ يبقى هذه التساؤلات اللي طرأت
+
+301
+00:30:20,300 --> 00:30:25,200
+على أدمعك. بعد ما نكتب بهذه الطريقة كتابة صحيحة،
+
+302
+00:30:25,200 --> 00:30:29,580
+بيظل الشغل الروتيني اللي قبل قليل. مش الشغل
+
+303
+00:30:29,580 --> 00:30:34,120
+الروتيني، بدي أروح أضرب كله في مين في المقام اللي
+
+304
+00:30:34,120 --> 00:30:39,000
+عندنا هذا.لو ضربنا في هذا المقام بصير المثل على
+
+305
+00:30:39,000 --> 00:30:49,520
+الشكل التالي A فX زائد واحد لكل تربيع زائد B فX
+
+306
+00:30:49,520 --> 00:30:52,600
+زائد واحد زائد C
+
+307
+00:30:56,320 --> 00:31:02,700
+بقوله كويس بعد هيك نرجع للشغل اشتغلنا قبل قليل بدي
+
+308
+00:31:02,700 --> 00:31:08,440
+احط قيم ل X من وين من عندي فباجي بقوله لو كانت ال
+
+309
+00:31:08,440 --> 00:31:14,320
+X يساوي قداش سالب واحدسالب واحد ليش؟ مش ان اطيّر
+
+310
+00:31:14,320 --> 00:31:20,440
+هذه و هذه و بحصل على C من خطوة مباشرة دوري، لأن لو
+
+311
+00:31:20,440 --> 00:31:25,820
+حطيت ال X يساوي السالب واحد، بصير عندنا هنا قداش؟
+
+312
+00:31:25,820 --> 00:31:30,940
+اتنين في واحد باتنين، و هنا سالب تلاتة
+
+313
+00:31:37,280 --> 00:31:45,980
+يبقى هنا C ومنها C تساوي كم؟ تساوي اتنى. بعد ايش
+
+314
+00:31:45,980 --> 00:31:51,360
+ما تحط، هيظلوا التلاتة جاعدين زي ما هم.مظبوط
+
+315
+00:31:51,360 --> 00:31:55,320
+طريقتنا يعني غلط، لأ مش غلط صح ماعنداش مشكلة، هذا
+
+316
+00:31:55,320 --> 00:31:58,860
+اللي أخدته يعتبر من المكتسبات الوطنية ان ال CSW2
+
+317
+00:31:58,860 --> 00:32:03,020
+نصحت فرضه بالمكتسبات الوطنية أبدا، وين ما لازمتنا
+
+318
+00:32:03,020 --> 00:32:09,160
+بدنا نرجع لها، طب ها إيش نعمل؟قيم اخرى ل X من عندك
+
+319
+00:32:09,160 --> 00:32:14,760
+حسب ما تراه مناسبا بحيث مش تاخد رقم عشرة مثلا ولا
+
+320
+00:32:14,760 --> 00:32:19,860
+رقم مية ناخد رقم صغير يسهل عملية الحسابات وبعدين
+
+321
+00:32:19,860 --> 00:32:27,140
+أقوله أبسط شغلة لو أخدت ال X يساوي زيه مثلا يبقى
+
+322
+00:32:27,140 --> 00:32:33,940
+thenأيش بدي أصير؟ Zero Zero مع السلامة مضالش عندى
+
+323
+00:32:33,940 --> 00:32:38,100
+إيه اللي قداش؟ تلاتة Zero طارد، ضال واحد تربيه
+
+324
+00:32:38,100 --> 00:32:44,180
+اللي هو واحد يبقى بـA و هنا زيه، زائد B زائد C، C
+
+325
+00:32:44,180 --> 00:32:50,220
+بقداش؟ باتنين، باتنين، تمام؟ يبقى هذه باتنين، يبقى
+
+326
+00:32:50,220 --> 00:32:56,660
+بناء عليه الـAزائد ال P بده يساوي كده؟ بده يساوي
+
+327
+00:32:56,660 --> 00:33:00,700
+واحد يمكن هذه معادلة في مجهولين لو جيبنا كمان
+
+328
+00:33:00,700 --> 00:33:05,980
+معادلة بكون خلصنا طبعا بقول كويس أخد سالب واحد و
+
+329
+00:33:05,980 --> 00:33:12,260
+Zero خد الرقم اللي يعجبك بعد هيك انا بدي أخد سلب
+
+330
+00:33:12,260 --> 00:33:19,900
+اتنين في مشكلة؟ ولا مشكلة ولا حاجةسالب ات اخد تاخد
+
+331
+00:33:19,900 --> 00:33:25,020
+الواحد صح ماحدش بيقولها غلط لو أخدت سالب اتنين
+
+332
+00:33:25,020 --> 00:33:29,840
+برضه صح نفس الشيء ماعنديش مشكلة خالص مرة يبقى هادى
+
+333
+00:33:29,840 --> 00:33:33,920
+والله هادى سيان فمثلا لو أخدت بيه سالب واحد ايش
+
+334
+00:33:33,920 --> 00:33:38,780
+بتصير فبقى if .. if .. قصد سالب اتنين if ال X
+
+335
+00:33:38,780 --> 00:33:44,320
+يساوي سالب اتنين then طبعا اتعمدت أخدت سالب ليش ان
+
+336
+00:33:44,320 --> 00:33:47,610
+انت خلال مطبوعة في دماغك بدك تاخد الموجةلسة
+
+337
+00:33:47,610 --> 00:33:51,170
+بالضرورة الموجودة انا باخد ارقام يعني لو كان هذه
+
+338
+00:33:51,170 --> 00:33:56,590
+فيها كسور بدي اخد ال X بكسر كمان طبعا يبقى هنا في
+
+339
+00:33:56,590 --> 00:34:01,390
+ال X ساوي سالب اتنين ثم نرجع لمثالتنا سالب اتنين
+
+340
+00:34:01,390 --> 00:34:07,790
+بقداش اربعة في اتنين تمانية يبقى هاي تمانية الآن
+
+341
+00:34:07,790 --> 00:34:14,570
+سالب اتنين في تلاتة سالب ستة وهي زائد تلاتة طبعا
+
+342
+00:34:14,570 --> 00:34:20,920
+هذا ال term الأول يساويأخدت سالب اتنين و واحد كل
+
+343
+00:34:20,920 --> 00:34:27,480
+سالب واحد تربيع بإيه زي ما هي تمام؟ الآن أخدت
+
+344
+00:34:27,480 --> 00:34:32,400
+بسالب اتنين زي واحد و دول سالب واحد منين؟ سالب بي
+
+345
+00:34:32,400 --> 00:34:38,700
+تمام؟ زائد سيبقى زائد اتنين أظن على الباب وأدرك
+
+346
+00:34:38,700 --> 00:34:44,200
+الآن ليش أخدت أنا سالب اتنين ولم أخد أسل في عملية
+
+347
+00:34:44,200 --> 00:34:46,140
+حسابات ال constant ليس إلا
+
+348
+00:34:54,460 --> 00:35:01,320
+هذا الكلام بدي يعطينا ال A ناقص ال B هذا بدي
+
+349
+00:35:01,320 --> 00:35:06,820
+يعطينا ال A ناقص ال B تساوي هنا عندك ايه؟ جيب
+
+350
+00:35:06,820 --> 00:35:11,100
+اتنين على الشجة دي بيضير سالب تمانية و تمانية مع
+
+351
+00:35:11,100 --> 00:35:15,860
+السلام مابيضال قداش؟ بيضال تلاتة اجمعلي الاتنين
+
+352
+00:35:15,860 --> 00:35:20,120
+هدول بيروح سالب B وموجبين مع بعض و بيضال اتنين A
+
+353
+00:35:20,120 --> 00:35:21,320
+يساوي اربعة
+
+354
+00:35:26,760 --> 00:35:31,440
+يبقى احنا حصلنا على C وحصلنا كيف؟
+
+355
+00:35:36,610 --> 00:35:46,390
+أي يساوي اتنين صحيح برجع
+
+356
+00:35:46,390 --> 00:35:51,710
+هنا لو كان ال a يساوي اتنين يبقى b تساوي سالب واحد
+
+357
+00:35:52,120 --> 00:35:58,380
+و B تساوي سالب واحد إذا حصلت على ال constants دول
+
+358
+00:35:58,380 --> 00:36:03,940
+كلهم لم يبقى لعملية main التكامل يبقى أصبح عندي
+
+359
+00:36:03,940 --> 00:36:10,960
+تكامل للإتنين X تربيع زائد تلاتة X زائد تلاتة على
+
+360
+00:36:10,960 --> 00:36:17,530
+X زائد واحد لكل تكييب DX بده يساوي تكاملالـ a
+
+361
+00:36:17,530 --> 00:36:24,590
+طلعناها ب2 على x زائد واحد وهنا سالب واحد على x
+
+362
+00:36:24,590 --> 00:36:31,210
+زائد واحد لكل ترابيع والـ c طلعناها ب2 زائد 2 على
+
+363
+00:36:31,210 --> 00:36:37,510
+x زائد واحد لكل تكييب وكل هذا بالنسبة إلى من؟ إلى
+
+364
+00:36:37,510 --> 00:36:45,310
+x يساوي أظن الأولاني 2 then absolute value لل x
+
+365
+00:36:45,310 --> 00:36:50,840
+زائد واحدواللي بعده زائد واحد على X زائد واحد
+
+366
+00:36:50,840 --> 00:36:58,480
+مظبوط هيك ساكت الشعبه تكامل هادي و عليها فوق بصي
+
+367
+00:36:58,480 --> 00:37:03,240
+ال X ناقص اتنين اللي بين بصين من الدرجة الاولى
+
+368
+00:37:03,240 --> 00:37:07,860
+ومعامل X هو واحد صحيح يبقى كائن هزر زي معاملة ال X
+
+369
+00:37:07,860 --> 00:37:13,100
+بالضبط تماما صحيح ولا لايعني طبعا اللي مش عارف
+
+370
+00:37:13,100 --> 00:37:18,140
+نايم يقول احط ل X زادة بواحد واقب Y يبقى DX يساوي
+
+371
+00:37:18,140 --> 00:37:24,080
+DY يبقى واحد على Y تربية DY Y اص ناقص اتنين DY
+
+372
+00:37:24,080 --> 00:37:29,020
+يبقى سالب واحد على Y يبقى سالب واحد على X زاد واحد
+
+373
+00:37:29,020 --> 00:37:32,980
+معلومات كالكلاصية مش كالكلاصبية ده كلام فارع سالب
+
+374
+00:37:32,980 --> 00:37:36,710
+مع سالب ما هي سارة موجة بتفكر على اللهاللي بعد هدى
+
+375
+00:37:36,710 --> 00:37:41,550
+بيصير سالب هدى هنعملها زيها تطلع فوق بيصير اكس و
+
+376
+00:37:41,550 --> 00:37:47,010
+سالب ثلاثة اضيف له نص واحد اكس مع القص الجديد اكس
+
+377
+00:37:47,010 --> 00:37:51,210
+و سالب اتنين على سالب اتنين مع الاتنين مع السلامة
+
+378
+00:37:51,210 --> 00:37:57,030
+يبقى سالب واحد على اكس زائد واحد لكل تربيع زائد
+
+379
+00:37:57,030 --> 00:37:58,770
+constant C
+
+380
+00:38:01,340 --> 00:38:07,680
+كأن أطير على رؤوس الكثير منكم استغربت تكملته يا
+
+381
+00:38:07,680 --> 00:38:13,180
+ابني هذا فكالة كلصية مش فكالة فارقة تعرفش زيك وحط
+
+382
+00:38:13,180 --> 00:38:18,740
+ليك زائد واحد بواي بأي متغير يجي في بالك وخلص
+
+383
+00:38:18,740 --> 00:38:23,380
+اكملها زي كالة كلصية كلام فارق طبعا كملت اللي أصعب
+
+384
+00:38:23,380 --> 00:38:28,500
+منها عشرين مائة مرة حتى كملتها هذا كلام فارق طيب
+
+385
+00:38:28,500 --> 00:38:46,210
+على أي حالعلى أي حال هذه لو نمرأ A من المثلة طيب
+
+386
+00:38:46,210 --> 00:38:49,270
+نمرأ B من المثلة يبقى نمرأ B
+
+387
+00:38:52,390 --> 00:39:00,990
+نمر بيه بيقول لي بدنا تكامل ل 16x تكييب على 4x
+
+388
+00:39:00,990 --> 00:39:09,050
+تربيه ناقص 4x زائد 1 كله بالنسبة الى dx
+
+389
+00:39:28,570 --> 00:39:33,330
+باجي بتطلع في المثلة بلاحظ ان ده ال bus من الدرجة
+
+390
+00:39:34,530 --> 00:39:39,190
+تالتة هو المقام من الدرجة يبقى درجة ال bus أعلى من
+
+391
+00:39:39,190 --> 00:39:44,330
+درجة المقام سنتر إلى القسم المطولة قبل إجراء عملية
+
+392
+00:39:44,330 --> 00:39:52,210
+التكامل يبقى تروح أقسم 16x تكييب تقسيم اللي هو 4x
+
+393
+00:39:52,210 --> 00:40:01,280
+تربيع ناقص 4x زائد 1 نقسم16 على 4 فى الأربعة و X
+
+394
+00:40:01,280 --> 00:40:09,020
+تكييب على X تربية فى أقداش X يبقى هنا 16 X تكييب و
+
+395
+00:40:09,020 --> 00:40:17,840
+هنا ناقص 4 فى 4 16 X تربية و هنا زائد 4 X ونغير
+
+396
+00:40:17,840 --> 00:40:25,460
+الإشارات بتروح هذه مع السلامة بظل 16 X تربية ناقص
+
+397
+00:40:25,460 --> 00:40:31,520
+4 Xالباقي من الدرجة الثانية والمقسوم عليه من
+
+398
+00:40:31,520 --> 00:40:37,020
+الدرجة الثانية بنواصل عملية القسمة يبقى 16X تربيع
+
+399
+00:40:37,020 --> 00:40:44,880
+على 4X تربيع هي قداش؟ فيها أربع 16X تربيع وهنا
+
+400
+00:40:44,880 --> 00:40:54,440
+ناقص 16Xهنا اربعة فى الستاشر اكس تربيع وناقص ستاشر
+
+401
+00:40:54,440 --> 00:41:01,920
+اكس وزائد اربع زائد صير ناقص وهد زائد وهد ناقص مع
+
+402
+00:41:01,920 --> 00:41:10,110
+السلامة بضل اتناشر اكس ناقص اربعالباقي من الدرجة
+
+403
+00:41:10,110 --> 00:41:13,950
+الأولى والمقصوم عليه من الدرجة الثانية stop الله
+
+404
+00:41:13,950 --> 00:41:17,770
+يعطيك العافية إذا النتيجة على الشكل التالي هي
+
+405
+00:41:17,770 --> 00:41:25,530
+تكامل وهي خارج القسمة 4x زائد 4 والباقي هو عبارة
+
+406
+00:41:25,530 --> 00:41:32,660
+عن 12x ناقص 4لسه بدنا نقسمه على المقام طب المقام
+
+407
+00:41:32,660 --> 00:41:39,640
+هذا مش هو عبارة عن اتنين اكس ناقص واحد لكل تربيع
+
+408
+00:41:39,640 --> 00:41:42,740
+دي اكس ولا لا؟
+
+409
+00:41:44,650 --> 00:41:51,430
+هذا مربع كامل جاهز اللي هو تحليله 2x-1 الكل تربيع
+
+410
+00:41:51,430 --> 00:41:57,490
+يبقى بنروح نعمل partial fraction لهذه يبقى هذا 12x
+
+411
+00:41:57,490 --> 00:42:07,440
+-4 على 2x-1 الكل تربيع يساويمن الدرجة الأولى و
+
+412
+00:42:07,440 --> 00:42:13,940
+مكرر يبقى بدنا نعملها مجموع كاسرين الكاسر الأول
+
+413
+00:42:13,940 --> 00:42:18,980
+اتنين اكس ناقص واحد اتنين اكس ناقص واحد لكل تربيع
+
+414
+00:42:18,980 --> 00:42:23,800
+يبقى مثل المثال اللى جابله constant الاول constant
+
+415
+00:42:23,800 --> 00:42:29,010
+على مين على الثانى زى اللى جابله تماما بالضبطهنروح
+
+416
+00:42:29,010 --> 00:42:34,290
+نضرب الطرفين في هذا المقدار بصير ان اتناشر اكس
+
+417
+00:42:34,290 --> 00:42:42,630
+ناقص اربعة يساوي ا في اتنين اكس ناقص واحد زائد بي
+
+418
+00:42:45,500 --> 00:42:50,500
+بدنا نروح نعلمك كمان طريقة لحساب الثوابط غير
+
+419
+00:42:50,500 --> 00:42:54,740
+الطريقة اللى اتعلمناها قبل قليل ايش الطريقة
+
+420
+00:42:54,740 --> 00:43:00,820
+الثانية تعال نفك المعادلة هذه يبقى لو فكناها بصير
+
+421
+00:43:00,820 --> 00:43:13,940
+جداش بصير تساوي اتنين ax ناقص a زائد ال bيبقى 12X
+
+422
+00:43:13,940 --> 00:43:25,460
+-4 يساوي 2A في X زائد B ناقص ال A يبقى اللي في
+
+423
+00:43:25,460 --> 00:43:31,870
+المتغير X خاتم مع بعض والثوابت مع بعضيبقى الطريقة
+
+424
+00:43:31,870 --> 00:43:37,150
+الجديدة بنسميها طريقة المعاملات اكتب بالعربي عندك
+
+425
+00:43:37,150 --> 00:43:44,770
+بمقارنة المعاملات في الطرفين comparing the
+
+426
+00:43:44,770 --> 00:43:50,810
+coefficients in both sides يبقى بدك اتقارن
+
+427
+00:43:50,810 --> 00:43:56,200
+المعاملات في طرفين المعادلة هذهيبقى لو جينا نقارن
+
+428
+00:43:56,200 --> 00:44:00,820
+معنى هذا الكلام ان المعامل تبع X هنا هو نفس
+
+429
+00:44:00,820 --> 00:44:05,860
+المعامل تبع X هنا والثابت هنا هو نفس الثابت هنا
+
+430
+00:44:05,860 --> 00:44:13,320
+يبقى بناء عليه بالصيرة 12 يساوي قداش 2A معامل X 12
+
+431
+00:44:13,320 --> 00:44:21,370
+مع ال X 2A ومنها A تساوي قداش تساوي 6بعد ذلك
+
+432
+00:44:21,370 --> 00:44:27,630
+الثابت اللي عندنا هذا هو بي ناقص ال a يسوى ناقص
+
+433
+00:44:27,630 --> 00:44:33,190
+الأربعة بأخد المقدار بإشارتي طب ال a عندنا هنا
+
+434
+00:44:33,190 --> 00:44:38,310
+بستة لو نجلت عليه الشجة التانية بصير موجة بستة
+
+435
+00:44:38,310 --> 00:44:45,470
+وناقص أربعة يبقى هذا بدي أقولك أن بي تسوى قداشيبقى
+
+436
+00:44:45,470 --> 00:44:49,850
+بناء عليه أصبعة المثال على الشكل التالي اللى فوق
+
+437
+00:44:49,850 --> 00:44:58,550
+هذه بدها تصير اللى هو تكامل ل 16x تكييب على 4x
+
+438
+00:44:58,550 --> 00:45:06,130
+تربية ناقص 4x زائد 1 كله بالنسبة لدى x بده يسوى
+
+439
+00:45:06,130 --> 00:45:13,340
+تكامل خارج القسمة 4x زائد 4الـ a طالعت عندي ب6
+
+440
+00:45:13,340 --> 00:45:22,100
+زائد ايش رأيك ال 6 هذي اكتبها 2 و هنا فيه 2 في 3
+
+441
+00:45:22,100 --> 00:45:34,180
+مدي اكتب ال 6 هذي اللي هي 3 في 2 على ال 2x ناقص 1
+
+442
+00:45:34,180 --> 00:45:39,220
+هيخلصها من term الأول شيلنا ال a و حطينا بدلها 6
+
+443
+00:45:39,480 --> 00:45:44,180
+ستة كتبت تلتة في اتنين لحاجة في نفس يعقوب
+
+444
+00:45:44,180 --> 00:45:50,560
+ستعرفونها بعد قليل يبقى زائد بي اللي هو باتنين على
+
+445
+00:45:50,560 --> 00:45:55,860
+الاتنين اكس ناقص واحد لكل تربيع كله بالنسبة لمين
+
+446
+00:45:55,860 --> 00:46:04,610
+الى DX يبقى الكامل يساويالترم الأول اللي هو اتنين
+
+447
+00:46:04,610 --> 00:46:11,230
+اكس تربيه على اتنين مع الأربع بظل اتنين وزائد اربع
+
+448
+00:46:11,230 --> 00:46:19,070
+اكس وهذه البس تفاضل المقاميبقى لين أبسوليوت فاليو
+
+449
+00:46:19,070 --> 00:46:24,590
+للمقام زائد تلاتة لين أبسوليوت فاليو اتنين اكس
+
+450
+00:46:24,590 --> 00:46:30,490
+ناقص واحد وهذه زائد هذه لو خلتك تعملها زي اللي تو
+
+451
+00:46:30,490 --> 00:46:35,890
+هناك مية المية هتتخربط فيها اذا بتتخربط بسيطة جدا
+
+452
+00:46:35,890 --> 00:46:44,310
+ولا حاجة قولي حطلي T مثلايساوي اتنين اكس ناقص واحد
+
+453
+00:46:44,310 --> 00:46:53,070
+يبقى دي تي باتنين دي اكس يبقى نص دي تي يبقى نص دي
+
+454
+00:46:53,070 --> 00:46:58,870
+اكس يبقى نص
+
+455
+00:46:58,870 --> 00:47:02,410
+دي اكس يبقى نص دي اكس يبقى نص دي اكس يبقى نص دي
+
+456
+00:47:02,410 --> 00:47:04,650
+اكس يبقى نص دي اكس يبقى نص دي اكس يبقى نص دي اكس
+
+457
+00:47:04,650 --> 00:47:08,650
+يبقى نص دي اكس يبقى نص دي اكس يبقى نص دي اكس يبقى
+
+458
+00:47:08,650 --> 00:47:13,160
+اكس يبقى نص دي اكس يبقىطبعا يبقى النتيجة تساوي
+
+459
+00:47:13,160 --> 00:47:19,380
+اتنين اكس تربية زائد اربع اكس زائد تلاتة لين اتنين
+
+460
+00:47:19,380 --> 00:47:25,640
+اكس ناقص واحد زائد هذه باعتبارها T و ناقص اتنين
+
+461
+00:47:25,640 --> 00:47:33,060
+يبقى تكملها بسالب واحد على T يبقى هذه سالب واحد
+
+462
+00:47:33,060 --> 00:47:40,650
+على Tزائد constant C يبقى الجواب النهائي 2X تربية
+
+463
+00:47:40,650 --> 00:47:47,150
+زائد 4X تلاتة لين absolute value 2X ناقص واحد ناقص
+
+464
+00:47:47,150 --> 00:47:55,750
+واحد على T هو 2X ناقص واحد زائد constant C يبقى
+
+465
+00:47:55,750 --> 00:47:58,850
+اللي ما قالناهاش لكن هناك اتكلمناها شفوي هي
+
+466
+00:47:58,850 --> 00:48:03,890
+عملناها تحريري وطلعتاشنفس النتيجة المرة القادمة ان
+
+467
+00:48:03,890 --> 00:48:08,630
+شاء الله بنكمل ازلنا بنفس ال section و لسه باقى
+
+468
+00:48:08,630 --> 00:48:10,690
+لعندنا نقطتين
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/qg_nRkGCnVI_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/qg_nRkGCnVI_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4867b8282066ceae49e79179c12af5a40517e020
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/qg_nRkGCnVI_raw.srt
@@ -0,0 +1,1684 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,330 --> 00:00:14,590
+بسم الله الرحمن الرحيم نكمل ما ابتدأنا به المرة
+
+3
+00:00:14,590 --> 00:00:18,250
+الماضية وهو ثاني section في ال parametric
+
+4
+00:00:18,250 --> 00:00:24,570
+equations اللى حسبنا فيه المشتقات ال tangent وكذلك
+
+5
+00:00:24,570 --> 00:00:29,450
+ال slope مشان نجيب ال tangent و ال area و طول
+
+6
+00:00:29,450 --> 00:00:33,180
+المنحنة و بقيت اخر نقطةاللي ال surface of
+
+7
+00:00:33,180 --> 00:00:36,580
+revolution أو ال areas of surface of revolution
+
+8
+00:00:36,580 --> 00:00:41,720
+وهي مساحة الأشكال الدورانية مساحة لو خلناها دورة
+
+9
+00:00:41,720 --> 00:00:45,960
+تعمل للسطح بدنا المساحة الخارجية السطحية لهذا
+
+10
+00:00:45,960 --> 00:00:49,200
+المجسم الناتج من الدوران
+
+11
+00:00:54,330 --> 00:00:59,410
+المساحة السطحية المتولدة او المتكونة من دوران
+
+12
+00:00:59,410 --> 00:01:02,490
+المنحنة الموجودة في الصيغة البرامترية
+
+13
+00:01:14,850 --> 00:01:20,110
+X ماعنديش Y سالبة Y كلها بيبقى بالموجة على محور X
+
+14
+00:01:30,160 --> 00:01:37,960
+DT لو حد مذكر كالكلص اخر سيكشن في المقرن كان نفس
+
+15
+00:01:37,960 --> 00:01:43,320
+الجثة 2 باي واي تكامل واحد زي الدي واي على دي اكس
+
+16
+00:01:43,320 --> 00:01:47,600
+كله بالنسبة الاد اكس لكن لما دخلنا ال parameter T
+
+17
+00:01:47,600 --> 00:01:52,940
+انقلبت الكمية لتحت الجدر الى DX على DT الكل تربيه
+
+18
+00:01:52,940 --> 00:01:58,400
+زي الدي واي على دي تي الكل تربيهوهذا إذا كان
+
+19
+00:01:58,400 --> 00:02:02,760
+الدوران حوالين محور X لكن إذا كان الدوران حوالين
+
+20
+00:02:02,760 --> 00:02:07,280
+محور Y فالمعادلة بيصير اللي فوق نفسها اللهم إلا
+
+21
+00:02:07,280 --> 00:02:13,980
+بنستبدل Y بمين بال X Y مين هي Y هادرة اللي هي G of
+
+22
+00:02:13,980 --> 00:02:16,780
+T نعطي مثال توضيح على ذلك
+
+23
+00:02:23,070 --> 00:02:28,290
+هذه المساحة المتولدة من دوران المنحنى المواطئ
+
+24
+00:02:28,290 --> 00:02:32,450
+بالصيغة البرامترية x يساوي لن سيك ت زائد تان ت
+
+25
+00:02:32,450 --> 00:02:37,710
+ناقص ساين ت واللي تساوي كساين ت على الفترة من zero
+
+26
+00:02:37,710 --> 00:02:43,650
+لغاية pi على تلاتة والدوران حوالين مينحوالين محور
+
+27
+00:02:43,650 --> 00:02:51,230
+X يبقى الغلاق الأولى وليست من وليست الثانية.مشان
+
+28
+00:02:51,230 --> 00:02:57,050
+هيك بدنا نروح بالزمن اي جاب DX على DT وDY على DT
+
+29
+00:02:57,050 --> 00:03:02,670
+والربع كذلك كل من هتين القيمتين.إذا لو جيت هنا بدي
+
+30
+00:03:02,670 --> 00:03:11,760
+اخد اللي هو من DX على DTY الساوي.تفاضل الانهادي
+
+31
+00:03:11,760 --> 00:03:20,240
+بواحد على سك T زائد تان ال T في تفاضل مداخل السك
+
+32
+00:03:20,240 --> 00:03:26,980
+تفاضل السك اللي هو بسك T في تان T زائد تفاضل التان
+
+33
+00:03:26,980 --> 00:03:36,810
+بسك تربيه T وتفاضل ال sine ب cos Tيبقى دي اكس على
+
+34
+00:03:36,810 --> 00:03:42,530
+دي تي بده يساوي بده ياخد سك تي عامل مشترك بيبقى
+
+35
+00:03:42,530 --> 00:03:53,390
+تان تي زائد سك تي كله مقسوم على مين على سك تي زائد
+
+36
+00:03:53,390 --> 00:04:03,650
+تان تيسيك تي زائد تان تي و هنا ناقص cos T بلّع
+
+37
+00:04:03,650 --> 00:04:08,870
+الجثث هذا بيروح مع الجثث هذا يبقى آلة المسألة إلى
+
+38
+00:04:08,870 --> 00:04:17,360
+سيك تي ناقص cos Tممكن اكتب هذا في شكل اخر الشكل
+
+39
+00:04:17,360 --> 00:04:27,500
+الاخر وهو واحد على cosine T ماقص cosine T او بمعنى
+
+40
+00:04:27,500 --> 00:04:34,580
+اخر لو حتى المقامات بصير كله على cosine Tواحد ناقص
+
+41
+00:04:34,580 --> 00:04:41,480
+كوصين تربية T من حساب المثلثات أول متطابقة واحد
+
+42
+00:04:41,480 --> 00:04:51,910
+ناقص كوصين تربية دفنها sign تربية T على كوصين Tهذا
+
+43
+00:04:51,910 --> 00:04:59,910
+مين؟ له dx على dt إذا بقدر أقول له dx على dt لكل
+
+44
+00:04:59,910 --> 00:05:08,910
+تربية يسوى sin أربعة T على cosine تربية T بعد هيك
+
+45
+00:05:08,910 --> 00:05:14,170
+بدنا نروح نجيب له مين؟ ال dy على dt تفضل cosine
+
+46
+00:05:14,170 --> 00:05:22,350
+بقداش؟بسالب صين ال T الربعة
+
+47
+00:05:22,350 --> 00:05:29,890
+بالمرة يبقى هدف يعطينا DY على DT لكل تربية يساوي
+
+48
+00:05:29,890 --> 00:05:34,970
+ال sign تربية ال T بناء على اللي بقدر أجيب له ال
+
+49
+00:05:34,970 --> 00:05:41,940
+length L يساوي تكاملمن a الى b يبقى من 0 لغاية π
+
+50
+00:05:41,940 --> 00:05:50,340
+على 3 لإتنين by y من ال y لكوصين ال T في الجدرى
+
+51
+00:05:50,340 --> 00:05:56,980
+التربية اللي DX على DT لكل تربية هيها لsin أربعة T
+
+52
+00:05:56,980 --> 00:06:05,080
+على كوصين تربية T زائد اللي هو sin تربية T كله
+
+53
+00:06:05,080 --> 00:06:11,430
+بالنسبة لDTيبقى هذه لو جينا حسبناها اتنين باي برا
+
+54
+00:06:11,430 --> 00:06:16,910
+كنستان يبقى تكامل من zero لغاية باي على تلاتة
+
+55
+00:06:16,910 --> 00:06:22,050
+لكوساين T في الجذر التربيعي بدا واحد المقامات
+
+56
+00:06:22,050 --> 00:06:29,190
+اللهم كلهم يبقى كوساين تربيع T و بصير ان هنا sin
+
+57
+00:06:29,190 --> 00:06:38,610
+أس اربعة Tزائد صين تربيع ال T فيكو صين تربيع ال T
+
+58
+00:06:38,610 --> 00:06:46,100
+كل هذا الكلام بالنسبة إلى من؟ إلى DTطيب يساوى
+
+59
+00:06:46,100 --> 00:06:51,100
+اتنين باي هيها برا وهي تكامل من zero لغاية باي على
+
+60
+00:06:51,100 --> 00:06:58,840
+تلاتة وهي cos T وهي الجذر التربيعي ممكن اخد sin
+
+61
+00:06:58,840 --> 00:07:06,020
+تربيع عامل مشترك بطلاندي قداش sin تربيع T زائد cos
+
+62
+00:07:06,020 --> 00:07:14,770
+تربيع T كل عالمين على cos تربيع T في DTالمقدور بين
+
+63
+00:07:14,770 --> 00:07:21,010
+القوسين كده؟ واحد صحيح يبقى النتيجة تساوي اتنين
+
+64
+00:07:21,010 --> 00:07:26,370
+بايتة كامل من Zero الى باية تلاتة تطلع من تحت
+
+65
+00:07:26,370 --> 00:07:35,730
+الجدر بمين؟ بصينية T على كوسينية T كله بالنسبة الى
+
+66
+00:07:35,730 --> 00:07:41,090
+DT و بدون value absolute لأنه من Zero لباية تلاتة
+
+67
+00:07:41,090 --> 00:07:47,390
+يعني في الرابعالأول كل النسبة المثلثية موجبة تغيب
+
+68
+00:07:47,390 --> 00:07:52,430
+cosine مع cosine الله سهل عليها يبقى آلة المسألة
+
+69
+00:07:52,430 --> 00:07:59,710
+إلى اتنين باي تكامل من zero لباي على تلاتةلمن؟
+
+70
+00:07:59,710 --> 00:08:09,090
+لصينة T DT يساوي سلب اتنين باي كوصينة T من عند ال
+
+71
+00:08:09,090 --> 00:08:16,070
+zero لعبة باية على تلاتة يساوي سلب اتنين باي في
+
+72
+00:08:16,070 --> 00:08:21,300
+كوصينة الستين اللي مقدش؟نص. نص.
+
+73
+00:08:27,560 --> 00:08:30,880
+نص. نص. نص. نص. نص. نص. نص. نص. نص. نص. نص. نص.
+
+74
+00:08:30,880 --> 00:08:31,660
+نص. نص. نص. نص. نص. نص. نص.
+
+75
+00:08:40,440 --> 00:08:41,040
+نص.
+
+76
+00:08:46,060 --> 00:08:54,120
+يجب نجي ال exercises احداشر اتنين المسائل التالية
+
+77
+00:08:54,120 --> 00:08:59,440
+من واحد لغاية اربعة و تلاتين الاد
+
+78
+00:09:42,190 --> 00:09:49,110
+سنذهب الآن لـ section 11-3 الو
+
+79
+00:09:49,110 --> 00:09:58,530
+عبارة عن الـ polar coordinates الاحداثيات
+
+80
+00:09:58,530 --> 00:10:04,550
+القطبية سنقسم
+
+81
+00:10:04,550 --> 00:10:07,890
+هذا ال section إلى عدة نقاط
+
+82
+00:10:10,890 --> 00:10:18,670
+الـ L لطول أو المقدار الـ S قصدي، الـ
+
+83
+00:10:18,670 --> 00:10:22,390
+L لطول المنحنى، لكن الـ S الحرف الأول من كلمة
+
+84
+00:10:22,390 --> 00:10:27,010
+Surface يعني المساحة السطحيةبنجي الى ال polar
+
+85
+00:10:27,010 --> 00:10:31,330
+coordinates اللي هي الإحداثيات القطبية هذا ال
+
+86
+00:10:31,330 --> 00:10:37,970
+section يحتوي على العديد من النقاط فبنروح نفصلهم
+
+87
+00:10:37,970 --> 00:10:43,150
+نقطة نقطة اول شي من يوم احنا ما اتعلمنا في
+
+88
+00:10:43,150 --> 00:10:48,250
+الابتدائي و الى يومنا هذاوأحنا لا نستخدم إلا نوع
+
+89
+00:10:48,250 --> 00:10:54,010
+واحد من الإحداثيات اللي هو الإحداثيات الكارتيزية
+
+90
+00:10:54,010 --> 00:10:59,250
+أو الإحداثيات المستطيلة نسبة للعالم الفرنسي
+
+91
+00:10:59,250 --> 00:11:05,630
+Descartes اللي اكتشف هذه، تمام؟ طيب، في إحداثيات
+
+92
+00:11:05,630 --> 00:11:10,030
+أنواع تانية، أه في بدل للنوع أربع، مش واحدلكن احنا
+
+93
+00:11:10,030 --> 00:11:14,530
+في Calculus B بناخد الإحداث الثاني اللي هو ال
+
+94
+00:11:14,530 --> 00:11:17,630
+polar coordinates وإن شاء الله اللي بياخد Calculus
+
+95
+00:11:17,630 --> 00:11:22,610
+C كمان فيه نوعين أخرات من الإحداثيات واحد بنسميه
+
+96
+00:11:22,610 --> 00:11:27,210
+له cylindrical coordinates الإحداثيات الأسطوانية
+
+97
+00:11:27,210 --> 00:11:33,450
+أو philosophical coordinates الإحداثيات الكروية أو
+
+98
+00:11:33,450 --> 00:11:40,250
+الإحداثيات الكورية من ناحية لغوية صحيحةيبقى
+
+99
+00:11:40,250 --> 00:11:43,130
+قالولنا اللي بيدرس كان قلصي منك و لا بدرسش
+
+100
+00:11:43,130 --> 00:11:46,950
+بياخدهمش لذلك احنا بدنا نروح لقالنا ال polar
+
+101
+00:11:46,950 --> 00:11:50,350
+coordinates قبل و نبدأ في حكاية ال polar
+
+102
+00:11:50,350 --> 00:11:54,410
+coordinates فينا حاجة اسمة positive angle و
+
+103
+00:11:54,410 --> 00:11:59,310
+negative angle الزاوية الموجبة و الزاوية السالبة
+
+104
+00:12:00,210 --> 00:12:03,950
+كيف تتكون الزاوية الموجبة وكيف تتكون الزاوية
+
+105
+00:12:03,950 --> 00:12:09,710
+السالبة لو تخيلت ان عندي خطين مستقيمين ومنطبقين
+
+106
+00:12:09,710 --> 00:12:14,950
+على بعض تمام الانطباق يبقى الزاوية بينهم جداش Zero
+
+107
+00:12:14,950 --> 00:12:19,830
+تمام هاي اللي جلام على جهتكم الشكل لأنها ده خلت
+
+108
+00:12:19,830 --> 00:12:24,130
+الخط اللي تحت ثابت وجدت الخط اللي فوق وخلته يتحرك
+
+109
+00:12:24,130 --> 00:12:29,110
+إلى أعلىيبقى متحرك counter clockwise والله
+
+110
+00:12:29,110 --> 00:12:35,920
+clockwiseيعني ضبع قارب الساعة الحركة الى اعلى ضبع
+
+111
+00:12:35,920 --> 00:12:40,340
+قارب الساعة إذا الزاوية تكونة ضبع قارب الساعة
+
+112
+00:12:40,340 --> 00:12:45,580
+بعتبرها positive angle زاوية موجبة لكن لو ثبتنا
+
+113
+00:12:45,580 --> 00:12:49,660
+الخط الأسود هذا وقلنا الخط الأسود انت تتحرك الى
+
+114
+00:12:49,660 --> 00:12:55,140
+أسفل يبقى الحركة هتصير وين؟ دائرية الى أسفل يبقى
+
+115
+00:12:55,140 --> 00:13:00,240
+المعاهاأقارب الساعة يبقى هذه بسميها زاوية سالبة
+
+116
+00:13:00,240 --> 00:13:04,780
+اللي هي negative angle يبقى لو جينا رسمنا هذا
+
+117
+00:13:04,780 --> 00:13:11,200
+الكلام وروحنا قولنا هذه المحاور يبقى طبعا هذا محور
+
+118
+00:13:11,200 --> 00:13:18,020
+X وهذا محور Y وهذا نقطة الأصل اللي هي Zeroلو جينا
+
+119
+00:13:18,020 --> 00:13:24,780
+الحركة كانت إلى أعلى بالشكل هذا يبقى theta is a
+
+120
+00:13:24,780 --> 00:13:32,800
+positive angle يبقى هذه زاوية مجرة لكن لو كانت
+
+121
+00:13:32,800 --> 00:13:39,800
+الحركة إلى أسفل بهذا الشكل يبقى theta is a
+
+122
+00:13:39,800 --> 00:13:42,980
+negative angle
+
+123
+00:13:45,050 --> 00:13:49,350
+يعني يا شباب لو بدى احسبها عمليا مثلا او عدديا
+
+124
+00:13:49,350 --> 00:13:53,170
+باجي بقول لو كانت الزاوية اللى فوق هذه خمسة
+
+125
+00:13:53,170 --> 00:13:58,010
+واربعين درجة اذا بقول الزاوية هذه positive وهي
+
+126
+00:13:58,010 --> 00:14:03,840
+خمسة واربعين درجةلو كانت الزمن هذه ستين درجة إلى
+
+127
+00:14:03,840 --> 00:14:09,200
+أسفل، فبجب أقول هذه negative angle وهي سالب ستين
+
+128
+00:14:09,200 --> 00:14:14,000
+درجة أو سالب باعي على تلاتة. يبقى الموجة بنكتب
+
+129
+00:14:14,000 --> 00:14:18,300
+إشارة موجة والسالبة بنكتبها بمية بإشارة سالبة.
+
+130
+00:14:18,740 --> 00:14:22,100
+طبعا هسأل سؤال واحد يقول طب واشدخل الموضوع هذا في
+
+131
+00:14:22,100 --> 00:14:27,280
+ال بولة؟ فأقول لك آه، هذا ما ستعرفه بعد قليل ان
+
+132
+00:14:27,280 --> 00:14:33,900
+شاء الله تعالى. طيبننتقل الان من كارتيزيان إلى
+
+133
+00:14:33,900 --> 00:14:38,760
+polar coordinates كيف الكارتيزيان إلى polar؟ احنا
+
+134
+00:14:38,760 --> 00:14:45,100
+كنا الإحداث XY في الكارتيزيان، نقول X هو الإحداث
+
+135
+00:14:45,100 --> 00:14:49,950
+الصيني وY هو الإحداث الصاليهلت على الماء طيلة
+
+136
+00:14:49,950 --> 00:14:53,990
+حياتنا من يوم ما صرنا نعرف رياضيات؟ لكن لو جيت
+
+137
+00:14:53,990 --> 00:14:58,810
+للفرن بصير عندي R و Theta الأحداث الأول بحط R
+
+138
+00:14:58,810 --> 00:15:03,250
+والأحداث الثاني بحط Theta السؤال هو وين هي R و
+
+139
+00:15:03,250 --> 00:15:06,490
+Theta على الطبيعة؟ بدنا نشوف شخ القدة هذه عشان
+
+140
+00:15:06,490 --> 00:15:12,010
+نعرف نتعامل معاها، هقولك بسيطة جدا، لو جيت قلت هده
+
+141
+00:15:12,010 --> 00:15:18,580
+هه؟بدا من نقطة الصفر اللي بيجينا نسميها ال origin
+
+142
+00:15:18,580 --> 00:15:25,500
+هذا زمان يعني نقطة في الأصل هنا هنسميها pole pole
+
+143
+00:15:25,500 --> 00:15:30,740
+يعني قاطب القاطب بيبدأ من وين أو بيكون في نقطة
+
+144
+00:15:30,740 --> 00:15:36,980
+الأصل من عنده بنبدأ نرسم هذه الاتجاهات بنقول بسيطة
+
+145
+00:15:36,980 --> 00:15:41,200
+جدا يبجي هذا شباب بنسميه ال initial
+
+146
+00:15:43,950 --> 00:15:51,510
+الشعال ابتدي أو ال polar axis المحور القطبي يبقى
+
+147
+00:15:51,510 --> 00:15:57,910
+هذا هو ال polar axis كذلكيا اما ال ام ناشيا الريا
+
+148
+00:15:57,910 --> 00:16:03,450
+يا اما اللي هو ال polar axis طيب الان انا بدى
+
+149
+00:16:03,450 --> 00:16:07,510
+اتحرك الاعلى يعني لو بدى اعمل زاوية موجبة زي ما
+
+150
+00:16:07,510 --> 00:16:13,230
+سوينا قبل قليل بالاقلام يبقى بده يجيني هات شكل
+
+151
+00:16:13,230 --> 00:16:19,570
+عندنا هذا وعملت هنا زاوية مقدارها ثيتا ووصلت الى
+
+152
+00:16:19,570 --> 00:16:27,400
+هذه النقطةلهذه النقطة PXY في الإحداثيات الكارتيزية
+
+153
+00:16:27,400 --> 00:16:34,040
+القديمة تمام وين ال X و ال Y بقوله نزل من هنا عمود
+
+154
+00:16:34,040 --> 00:16:41,160
+بيكون هذا هو X و هذا هو Y لكن احنا بنبطل نقول PXY
+
+155
+00:16:41,160 --> 00:16:49,200
+بنقول PR و Theta يبقى هذا PR و Theta وين ال R وين
+
+156
+00:16:49,200 --> 00:16:54,390
+ال Thetaالـ R يا شباب هي الـ Directed Distance من
+
+157
+00:16:54,390 --> 00:16:59,950
+نقطة الأصل اللي هي الـ Pole اللي هديها الرمز O إلى
+
+158
+00:16:59,950 --> 00:17:06,550
+النقطة P يبقى هذه المسافة اللي هديها الرمز R يبقى
+
+159
+00:17:06,550 --> 00:17:12,810
+عرفنا R أي مسافة من نقطة الأصل إلى أي نقطة موجودة
+
+160
+00:17:12,810 --> 00:17:17,870
+في اللي هو المستوى تبع R و T أو في ال Polar Plane
+
+161
+00:17:17,870 --> 00:17:23,600
+في المستوى القطبيطيب ممتاز هذي R ثيتا مين؟ ثيتا هي
+
+162
+00:17:23,600 --> 00:17:29,360
+الزاوية اللي عملتها ل R مع الاتجاه الموجب لل Polar
+
+163
+00:17:29,360 --> 00:17:34,560
+Axis يبقى عرفنا أين R وثيتا هي ثيتا والاتجاه
+
+164
+00:17:34,560 --> 00:17:40,680
+الأعلى وهي ال R يبقى هي عرفنا R وثيتا طيب هذه
+
+165
+00:17:40,680 --> 00:17:43,780
+النقفة الأولى في هذا ال section وهي ال positive
+
+166
+00:17:43,780 --> 00:17:49,530
+angle وال negative angleالنقطة ثانيه كيب تحول من
+
+167
+00:17:49,530 --> 00:17:56,110
+كارتيزيا إلى polar coordinates طبعا في علاقة بتربط
+
+168
+00:17:56,110 --> 00:18:01,450
+ما بين ال X والY والR والثيتا سنعرفها بعد قليل لكن
+
+169
+00:18:01,450 --> 00:18:07,170
+قبل ان نعرفها تعالى نسأل السؤال التالي لو جيت
+
+170
+00:18:07,170 --> 00:18:10,450
+قولتلك كلكوا جاعدين وعديت لجيتها الطلاب جد ما
+
+171
+00:18:10,450 --> 00:18:15,130
+يكونوا جاعدين خمسين ستين مية جد ما يكونوجدت كل
+
+172
+00:18:15,130 --> 00:18:20,150
+واحد يرسم ليه في الدفتر تبعه النقطة اتنين وخمسة
+
+173
+00:18:20,150 --> 00:18:25,870
+يعني ال X ساوى اتنين و ال Y ساوى قداشر خمسة وكل كه
+
+174
+00:18:25,870 --> 00:18:31,010
+رسمته صح و روحت لفيت عليكم حاجة كل كه رسمته نفس
+
+175
+00:18:31,010 --> 00:18:35,330
+النقطة وبنفس الدقة إن كان الرسم صحيح طبعا تمام؟
+
+176
+00:18:35,330 --> 00:18:40,510
+إذا معنى هذا الكلام أن التمثيل الباني للنقطة في
+
+177
+00:18:40,510 --> 00:18:45,680
+الإحداثيات الكارتيزية واحد مافيش غيرهكله برسم نفس
+
+178
+00:18:45,680 --> 00:18:49,860
+النقطة، تمام؟ سؤالنا هو هل ال representation
+
+179
+00:18:49,860 --> 00:18:56,520
+للنقطة في الإحداثيات القطبية يكون وحيدا؟ الإجابة
+
+180
+00:18:56,520 --> 00:19:01,600
+لا، تمام؟ يبقى أول نقطة بدنا نقولها هنا very
+
+181
+00:19:01,600 --> 00:19:07,080
+important the representation
+
+182
+00:19:15,210 --> 00:19:18,010
+ليس وحيدا
+
+183
+00:19:34,080 --> 00:19:41,920
+يعني ممكن النقطة نعطيها أكثر من تمثيل يعني نعطيها
+
+184
+00:19:41,920 --> 00:19:48,720
+مثلا تمثيلين، تلاتة، أربعة؟ الإجابة نعم، مش حاجات
+
+185
+00:19:48,720 --> 00:19:55,080
+أربعة، بل مالة نهاية كيف؟ تعالي نوريك كيف خد ال
+
+186
+00:19:55,080 --> 00:20:01,920
+example find
+
+187
+00:20:03,680 --> 00:20:19,240
+All polar coordinates of the point مثلا P تلاتة
+
+188
+00:20:19,240 --> 00:20:27,520
+وPi على تلاتة ده بيسؤال بيقول لي هتلي الترثيب
+
+189
+00:20:27,520 --> 00:20:34,050
+البدانيفي الاحداثية القطبية للنقطة لاحداثيها تلاتة
+
+190
+00:20:34,050 --> 00:20:38,150
+و باية على تلاتة يبقى تلاتة هو عبارة عن مين؟
+
+191
+00:20:38,810 --> 00:20:43,090
+والبيعة تلاتة عبارة عن مين؟ عبارة عن الـ Theta.
+
+192
+00:20:43,270 --> 00:20:47,850
+كلام كويس. يبقى بدنا نيجي نرسم هذا الكلام اللي
+
+193
+00:20:47,850 --> 00:20:53,050
+عندنا. طبعا ال initial ريه هذا الشباب او اللي احنا
+
+194
+00:20:53,050 --> 00:20:56,730
+قلنا عليه الشعال يبتدعو ال polar axis لما انتقل
+
+195
+00:20:56,730 --> 00:21:00,870
+الى الاحداثيات القطبية لما كان الجمالين مضبوخين
+
+196
+00:21:00,870 --> 00:21:06,140
+على بعض تماما جداش الزاوية كانت بينهمإذا هذا
+
+197
+00:21:06,140 --> 00:21:13,420
+معادلة θ تساوي zero طب لو انتقلت إلى المحور
+
+198
+00:21:13,420 --> 00:21:17,160
+الصاداتي اللي عندنا هذا بكون مشي الزمج أداش
+
+199
+00:21:17,160 --> 00:21:23,400
+مقدارها تسعين يبقى هنا θ تساوي بي على اتنين الخط
+
+200
+00:21:23,400 --> 00:21:28,720
+هذا لو استمر بيصير θ تساوي بيثيتا تساوي تلاتة باية
+
+201
+00:21:28,720 --> 00:21:35,380
+على اتنين، ثيتا تساوي اتنين باية على اتنين، ثيتا
+
+202
+00:21:35,380 --> 00:21:36,260
+تساوي تلاتة باية على اتنين، ثيتا تساوي تلاتة باية
+
+203
+00:21:36,260 --> 00:21:36,260
+على اتنين، ثيتا تساوي تلاتة باية على اتنين، ثيتا
+
+204
+00:21:36,260 --> 00:21:37,380
+تساوي تلاتة باية على اتنين، ثيتا تساوي تلاتة باية
+
+205
+00:21:37,380 --> 00:21:39,880
+على اتنين، ثيتا تساوي تلاتة باية على اتنين، ثيتا
+
+206
+00:21:39,880 --> 00:21:43,440
+تساوي تلاتة باية على اتنين، ثيتا تساوي تلاتة باية
+
+207
+00:21:43,440 --> 00:21:50,060
+على اتنين، ثيتا تساوي تلاتة باية على اتنين، ثيتا ت
+
+208
+00:21:52,420 --> 00:21:58,280
+وهذا θ تساوي zero وهذا θ تساوي باي على اتنين
+
+209
+00:21:58,280 --> 00:22:04,100
+بتماشي θ تساوي باي على تلتة يعني ستين درجة كنا
+
+210
+00:22:04,100 --> 00:22:08,680
+بنحطها المنجلة و بنرسمها ستين درجة يبقى لو رسمت
+
+211
+00:22:08,680 --> 00:22:12,620
+بيكون الخط بالشكل اللي عندنا هذا هو هذه النقطة
+
+212
+00:22:12,620 --> 00:22:18,450
+الأصل اللي هو Pol Oبعد ذلك يبقى هذه الزاوية اللي
+
+213
+00:22:18,450 --> 00:22:24,130
+رسمناها باي على تلاتة بدي عليها طول لما نوصلت إلى
+
+214
+00:22:24,130 --> 00:22:29,390
+الخط أخدت واحد اتنين تلاتة يبقى هذه النقطة اللي هي
+
+215
+00:22:29,390 --> 00:22:35,690
+تلاتة و باي على تلاتة الأصلية كويس؟ شو اسمك انت؟
+
+216
+00:22:36,820 --> 00:22:42,440
+أيوة يا خالع عربي، ما اسمك أنت؟ خالد. خالد ما رسمش
+
+217
+00:22:42,440 --> 00:22:46,000
+زي ما هذا. كويس؟ قال لي لأ، نقدر نرسمها بطريقة
+
+218
+00:22:46,000 --> 00:22:51,340
+تانية. قلت له ايوة، قال احنا في عصر الصرعة. قلت له
+
+219
+00:22:51,340 --> 00:22:55,220
+ايوة، ايش يعني في عصر الصرعة؟ قال احنا نوريك شو في
+
+220
+00:22:55,220 --> 00:23:02,980
+عصر الصرعة. قال هذا الخط اللي كنت رسمه.قلت له ايه
+
+221
+00:23:02,980 --> 00:23:06,060
+يا عزيزي؟ راح مشي زي برضه يمين زي ما كنا بيقولي
+
+222
+00:23:06,060 --> 00:23:11,320
+هاجلغر و ايه؟ لف لف و زيادة كمان شوية و وقف على
+
+223
+00:23:11,320 --> 00:23:18,020
+الخطة بعد الأساسي و راح جاس واحد اتنين تلاتة هل
+
+224
+00:23:18,020 --> 00:23:22,920
+تغير موقع النقطة هذه عن موقع النقطة هذه؟مافيش اي
+
+225
+00:23:22,920 --> 00:23:28,140
+تغيير. طب ايش اللي حصل؟ تلاتة زي ما هي لم تتغير
+
+226
+00:23:28,140 --> 00:23:34,600
+لكن قداش مش الزوايا تلاتمية وستين درجة وكمان ستين
+
+227
+00:23:34,600 --> 00:23:40,400
+يبقى أربعمية وعشرين درجة يبقى تلاتة واربعمية
+
+228
+00:23:40,400 --> 00:23:45,420
+وعشرين درجة وطلعت نفس النقطة يبقى هذه النقطة هذه
+
+229
+00:23:45,420 --> 00:23:52,830
+اعطيتها كام تمثيل؟ اتنين. شو اسمك انت؟أجى غازى
+
+230
+00:23:52,830 --> 00:23:58,790
+وقال بنا نغزي بطريقة تانية هاي تيتا تساوي zero وهي
+
+231
+00:23:58,790 --> 00:24:05,210
+تيتا تساوي باي على اتنين تمام؟ وقال لي هذا الخط
+
+232
+00:24:05,210 --> 00:24:09,590
+الأصل اللي كان عندك اللي انت راسمه هذا وهي بمر
+
+233
+00:24:09,590 --> 00:24:16,050
+بمين بنقطة الأصل وهي النقطة ده قلت له أيوا قال
+
+234
+00:24:16,050 --> 00:24:22,100
+انتم مشيتم وانا بدي أمشي سالموالله مشي موجة قال لأ
+
+235
+00:24:22,100 --> 00:24:25,180
+انا بدي اكون اصحاب اليمين بدي امشي موجة بقول لأ لو
+
+236
+00:24:25,180 --> 00:24:30,060
+فيش مشكلة راح قال زي هيك طلع كام ماشي هيك وقاجي
+
+237
+00:24:30,060 --> 00:24:36,680
+واقف هناطبعا و بدل ما يجيس عندما وصل واحد اتنين
+
+238
+00:24:36,680 --> 00:24:40,720
+تلتة اللي هو يعتبر بالنسبة انه الاتجاه الموجب راح
+
+239
+00:24:40,720 --> 00:24:45,460
+جاس وين؟ جاس في الناحية التانية نوضح لك الفكرة لو
+
+240
+00:24:45,460 --> 00:24:49,720
+انت قدامك محور X و قلت هذا الاتجاه الموجب المحور X
+
+241
+00:24:49,720 --> 00:24:53,890
+كم جدش بدي يكون؟بعد ما اقول واحد اتنين تلاتة بقول
+
+242
+00:24:53,890 --> 00:24:58,350
+سالب واحد سالب اتنين سالب تلاتة مظبوط اذا هو راح
+
+243
+00:24:58,350 --> 00:25:02,530
+ماشي موجب زي اتنين الاول انين بالضبط واجف هنا
+
+244
+00:25:02,530 --> 00:25:06,990
+وماراحش جاس هنا جاس في الخلف لكن لو جاس هنا بدي
+
+245
+00:25:06,990 --> 00:25:10,730
+اقول واحد اتنين تلاتة اذا بدي جاس في الخلف بيصير
+
+246
+00:25:10,730 --> 00:25:15,450
+سالب واحد سالب اتنين سالب تلاتةبنقول له ماشي اي
+
+247
+00:25:15,450 --> 00:25:20,510
+سالب واحد هو اي سالب اتنين هو اي سالب تلاتة يبقى
+
+248
+00:25:20,510 --> 00:25:25,670
+اعلى عندنا بسالب تلاتة تعالى شوفتي تقدش ماشي من
+
+249
+00:25:25,670 --> 00:25:30,750
+هنا الى هنا بقداش مية و تمانين مية و تمانين هذه
+
+250
+00:25:30,750 --> 00:25:35,130
+تساوي هذه بالتقابل بالراسي يبقى ستين ومية و تمانين
+
+251
+00:25:35,130 --> 00:25:41,290
+متين واربعين درجة يبقى سالب تلاتة و متين واربعين
+
+252
+00:25:41,290 --> 00:25:47,130
+درجة بقول الله له ماشيأجي اللي بعده ابراهيم اجي
+
+253
+00:25:47,130 --> 00:25:51,110
+ابراهيم وقال لي كيف؟ قال لي هاي المحاور اللي انت
+
+254
+00:25:51,110 --> 00:25:56,470
+بتقول عليها هذا theta تساوي zero و هذا theta تساوي
+
+255
+00:25:56,470 --> 00:26:01,450
+pi على اتنين و هذا الخط الأصل اللي عندك قولت له يا
+
+256
+00:26:01,450 --> 00:26:05,290
+جهل هم ماشي موجة بقى انا بدي امشي سالم قول له
+
+257
+00:26:05,290 --> 00:26:13,070
+ماعناش مشكلة قال راح لفك ووقف هناتمام؟ وراح قاس
+
+258
+00:26:13,070 --> 00:26:18,570
+واحد اتنين تلاتة يبقى عند ما وصل القاس يبقى هنا
+
+259
+00:26:18,570 --> 00:26:24,010
+التلاتة موجب ولا سالب؟ موجب لكن الزاوية سالب
+
+260
+00:26:24,010 --> 00:26:29,330
+تلتمية درجة هذه ستين يبقى هو لف سالب تلتمية درجة
+
+261
+00:26:29,330 --> 00:26:37,830
+يبقى سالب تلتمية درجة تمام؟ أجا اللي بعدهسليم قال
+
+262
+00:26:37,830 --> 00:26:43,270
+انا بدأ امشي بطريقة سليمة قلنا له كيف؟ قالك ايه
+
+263
+00:26:43,270 --> 00:26:49,050
+تيتا تساوي باية على اتنين و هذا الخاطب تبعد قلنا
+
+264
+00:26:49,050 --> 00:26:56,010
+له ايوه قال ايه الخاطب؟ و قال ايه؟ هذا مشي شمال؟
+
+265
+00:26:56,010 --> 00:26:59,530
+قال بدي امشي شمال و بدي امشي براحة step by step
+
+266
+00:26:59,530 --> 00:27:06,130
+قلنا له كيف؟ قال اه بس لحد هناقال له كويس، قال له
+
+267
+00:27:06,130 --> 00:27:09,710
+ممكن أجيس هنا، ممكن أجيس في الخلف، ليس لإنه يصلق
+
+268
+00:27:09,710 --> 00:27:13,110
+في الخلف. قال له اي واحد و اي اتنين و اي تلاتة.
+
+269
+00:27:13,550 --> 00:27:20,010
+يبقى هذه تلاتة وابصر كم زوايا. ماشي سالب تسعين
+
+270
+00:27:20,010 --> 00:27:24,930
+درجة. وهذه كم؟ تلاتين، لأن هذه ستين وهذه تلاتين.
+
+271
+00:27:24,990 --> 00:27:28,310
+تلاتين في التقابل براسي يبقى ماشي مية وعشرين درجة
+
+272
+00:27:28,310 --> 00:27:36,490
+بس بالسالب. يبقى تلاتةأقول لك تلاتة و سالب مائة و
+
+273
+00:27:36,490 --> 00:27:41,010
+عشرين درجة، لا تستعجل، لم يجاس عندما وصل، جاس في
+
+274
+00:27:41,010 --> 00:27:44,670
+الخلف بدل ما يجاس واحد او اتنين او تلاتة هنا،
+
+275
+00:27:44,670 --> 00:27:47,550
+سيجاس واحد او اتنين او تلاتة فوق، يعني لما جاس
+
+276
+00:27:47,550 --> 00:27:53,190
+واحد او تلاتة صارت سالب تلاتة تمام و سالب مائة و
+
+277
+00:27:53,190 --> 00:27:57,310
+عشرين درجة، الحمد لله تنتهي بالسالب، جيد؟ يقولوا
+
+278
+00:27:57,310 --> 00:28:01,450
+الرابع والخامس والسالق، وكل واحد فيهم حرصهم لشكل
+
+279
+00:28:01,730 --> 00:28:05,770
+هذا لف دورة اللي بعد دولف دورتين هذا لف دورة
+
+280
+00:28:05,770 --> 00:28:09,830
+بالسالب دولف دورتين بالسالب من بعشر دورات ميد دورة
+
+281
+00:28:09,830 --> 00:28:16,430
+كل مرة بطلع لزاوية شكل طب السؤال هو تقدر تجملهم في
+
+282
+00:28:16,430 --> 00:28:23,710
+شكل عام و خلاصنا نقول أه بنقدر كيف؟ كالتالي يبقى
+
+283
+00:28:23,710 --> 00:28:29,950
+باجي بقول in general the
+
+284
+00:28:29,950 --> 00:28:41,810
+pointاللي هي تلاتة وباي على تلاتة is equivalent to
+
+285
+00:28:41,810 --> 00:28:50,470
+باجلي تلاتة وبي على تلاتة لو ضفتلها دورات كاملة
+
+286
+00:28:50,470 --> 00:28:56,430
+بالموجب أو بالسالب هل تتغير القيم تبعتها؟تغير
+
+287
+00:28:56,430 --> 00:29:00,570
+القيام لو ضغطلها دورات ثانبة او مدبة طبعا لأ يبقى
+
+288
+00:29:00,570 --> 00:29:08,440
+بقوله زائد او ناقص اتنين in byو ال N هذه ممكن تاخد
+
+289
+00:29:08,440 --> 00:29:13,300
+Zero ممكن واحد و اتنين و تلاتة و إلى ما شاء الله
+
+290
+00:29:13,300 --> 00:29:19,240
+حط N زي ما بدك كل رقم بتحطه بطلالك زاوية تمام؟
+
+291
+00:29:19,240 --> 00:29:24,140
+يبقى هذا أعطاني كام زاوية؟ مال نهاية من الزوايد
+
+292
+00:29:24,140 --> 00:29:28,530
+أصبح عندي مال نهاية من النقطيبقى النقطة اللي راح
+
+293
+00:29:28,530 --> 00:29:33,010
+تمثيلها مش خمسة ولا ستة ولا تلاتة، لأ لأ، infinite
+
+294
+00:29:33,010 --> 00:29:38,070
+number يبقى بنقدر امثلها ب infinite number من مام
+
+295
+00:29:38,070 --> 00:29:43,970
+من النقاط اللي عندنا طيب استنى شوية هنا انت كدبت
+
+296
+00:29:43,970 --> 00:29:48,230
+بالموجب، لكن هنا في إيش؟ عندي هاي سالب وهي عندي
+
+297
+00:29:48,230 --> 00:29:53,170
+سالب، في غيرها؟ لأ يبقى في الارها دي ممكن تكون
+
+298
+00:29:53,170 --> 00:29:58,390
+سالبسأقول لك تعالى، انظر لهذه الشيء، عندما أقول
+
+299
+00:29:58,390 --> 00:30:04,030
+هنا موجب وهذا السلب، إذا أردت أنتقل من الموجب، من
+
+300
+00:30:04,030 --> 00:30:10,630
+آر الموجب إلى آر السلب، كم درجة مشيت؟ 180 درجة،
+
+301
+00:30:10,630 --> 00:30:15,190
+يبقى إذا الرقم عندك هذا موجب، وإذا أردت أن تكتب
+
+302
+00:30:15,190 --> 00:30:19,230
+السلب، اكتب وانت قلبك زي الحديد، لكن ماذا تفعل في
+
+303
+00:30:19,230 --> 00:30:26,120
+ثيتة؟ ضفلها 180 درجةطب لو كان سالب و بدك تكتبه
+
+304
+00:30:26,120 --> 00:30:30,580
+موجب هو كتبه موجب و روح وضيف للزاوية كمان مية و
+
+305
+00:30:30,580 --> 00:30:36,000
+تمانين درجة تمام؟ يبقى بدنا نروح نكتب لك هذه
+
+306
+00:30:36,000 --> 00:30:42,080
+الملاحظة على شكل remark يبقى بنجيب نكتب ال remark
+
+307
+00:30:42,080 --> 00:30:49,720
+التالية remark if
+
+308
+00:30:49,720 --> 00:31:02,690
+ال Ris negative او positive مثلا we can
+
+309
+00:31:02,690 --> 00:31:13,110
+write it positive ممكن نكتبها بالموجب by adding
+
+310
+00:31:13,110 --> 00:31:17,090
+باضافة
+
+311
+00:31:17,090 --> 00:31:18,590
+by
+
+312
+00:31:27,340 --> 00:31:38,560
+أي أن سالب R وثيتا is equivalent to
+
+313
+00:31:56,160 --> 00:32:01,160
+هذه الملاحظة الأولى الملاحظة الثانية
+
+314
+00:32:06,480 --> 00:32:13,860
+لو قلت لك ارسم لي المنحنى R تساوي تلاتة مثلا، R
+
+315
+00:32:13,860 --> 00:32:19,160
+تساوي تلاتة، بتروح عند أي نقطة الأصل، بقوله هاي R
+
+316
+00:32:19,160 --> 00:32:23,220
+تساوي تلاتة، وحتى ان يقول لي لا، هاي R تساوي
+
+317
+00:32:23,220 --> 00:32:28,820
+تلاتة، هاي R تساوي تلاتة، هاي R تساوي تلاتة، كلها
+
+318
+00:32:28,820 --> 00:32:32,820
+R تساوي تلاتة، يعني لو جيت النقاط هدول بيعملولي
+
+319
+00:32:32,820 --> 00:32:37,500
+إيه؟محيط دائرة
+
+320
+00:33:10,620 --> 00:33:19,260
+الرسم البذاني للمنحنة is a
+
+321
+00:33:19,260 --> 00:33:29,280
+circle with center at the
+
+322
+00:33:29,280 --> 00:33:33,680
+origin and radius
+
+323
+00:33:36,320 --> 00:33:42,440
+ارثو ساوي او Radius اللي هو absolute value لإيه؟
+
+324
+00:33:42,440 --> 00:33:48,480
+نقطة تالتة طلعنا
+
+325
+00:33:48,480 --> 00:33:52,840
+الخطوط المستقيم اللي احنا رسمينا ثيتا تساوي زيروا
+
+326
+00:33:52,840 --> 00:33:58,720
+اتفاجن علينا مين؟ Polar axis صحيح ولا لا؟ يبقى صار
+
+327
+00:33:58,720 --> 00:34:05,590
+خط مستقيمثيتا تساوي باي على اتنين خط مستقيم ثيتا
+
+328
+00:34:05,590 --> 00:34:12,710
+تساوي باي خط مستقيم اذا in general ثيتا تساوي ثيتا
+
+329
+00:34:12,710 --> 00:34:18,850
+نود مش زاوية وانما خط مستقيم بيعملي زاوية موجبة مع
+
+330
+00:34:18,850 --> 00:34:26,390
+من؟ مع ال polar axis يبقى هي النقطة الثالثة كيف؟
+
+331
+00:34:28,060 --> 00:34:32,400
+مش مشكلة بخط مستقيم برضه ومسالب ووالله موجبة فبجي
+
+332
+00:34:32,400 --> 00:34:38,620
+بقوله ايش؟ The graph of
+
+333
+00:34:38,620 --> 00:34:49,160
+θ تساوي θ نought is a line through
+
+334
+00:34:49,160 --> 00:34:54,880
+the origin والذي
+
+335
+00:34:54,880 --> 00:34:57,080
+يمر بنقطة الأصل
+
+336
+00:35:04,430 --> 00:35:12,150
+بعمل زاوية تعمل زاوية تعمل زاوية تعمل زاوية تعمل
+
+337
+00:35:12,150 --> 00:35:20,190
+زاوية تعمل زاوية تعمل زاوية
+
+338
+00:35:24,220 --> 00:35:30,260
+يعني النقطة اللي لو حبنا نرسمها بنقول هذا المحاور
+
+339
+00:35:30,260 --> 00:35:35,820
+اللي عندنا هذه ههه عبارة عن دائرة
+
+340
+00:35:43,090 --> 00:35:50,910
+هذا عبارة عن دائرة كويس هذا theta تساوي zero وهذا
+
+341
+00:35:50,910 --> 00:35:58,670
+theta تساوي باي على اتنين وهذا نصف القطر اللي هو R
+
+342
+00:35:58,670 --> 00:36:05,890
+تساوي او طوله absolute value ل A وهذه نقطة الاصل
+
+343
+00:36:05,890 --> 00:36:07,290
+او ال pole
+
+344
+00:36:18,730 --> 00:36:25,410
+أرسم أي خط يمر بنقطة الأصل فمثلا لو رسمنا هذا الخط
+
+345
+00:36:25,410 --> 00:36:31,690
+الخط اللي عندنا داعلى سبيل المثال يبقى هذا الخط
+
+346
+00:36:31,690 --> 00:36:38,390
+بيعمل ليه زاوية مقدرها theta node مع مين؟ مع ال
+
+347
+00:36:38,390 --> 00:36:43,850
+polar axis يبقى هذا الخط اللي عندنا بيصير معادله
+
+348
+00:36:43,850 --> 00:36:46,990
+theta تساوي theta node
+
+349
+00:37:06,940 --> 00:37:13,760
+طيب نعطي مثال توضيحي او مثال عملي مثال بيقول مياتي
+
+350
+00:37:13,760 --> 00:37:20,440
+example بيقول
+
+351
+00:37:20,440 --> 00:37:30,280
+is the curve is the curve هل المنحنة R يساوي اتنين
+
+352
+00:37:30,280 --> 00:37:34,480
+صين اتنين ثتا passes
+
+353
+00:37:36,780 --> 00:37:43,660
+throw هل هذا المنحنى يمر بالنقطة through the point
+
+354
+00:37:43,660 --> 00:37:54,980
+اليمين اتنين و تلاتة by على اربع ام لا يقول الله
+
+355
+00:37:54,980 --> 00:38:01,880
+اعلم solution خليني
+
+356
+00:38:01,880 --> 00:38:06,310
+ارجع بالذكر على الوراء الاحدثيات الكارتيزيةوبعد
+
+357
+00:38:06,310 --> 00:38:11,190
+ذلك نقول هل المنحنة أو الخط المستقيم يمر بالنقطة
+
+358
+00:38:11,190 --> 00:38:15,770
+الفلانية أم لا؟ لم نطرح سؤال مثل هذا؟ نقول على
+
+359
+00:38:15,770 --> 00:38:21,050
+الإجابة على هذا السؤال، نقول والله نزيل كل X ونضع
+
+360
+00:38:21,050 --> 00:38:24,930
+قيمتها، نقول عن ناتج، هي القيمة تبع طواي، نقول مية
+
+361
+00:38:24,930 --> 00:38:29,760
+لمية إذا المنحنةيمر بمين بالنقطة هذه لأن التمثيل
+
+362
+00:38:29,760 --> 00:38:34,700
+واحد مافيش غيره لكن إذا لما عوضت ب X ماطلعتش Y
+
+363
+00:38:34,700 --> 00:38:40,540
+يبقى النقطة X وY لا تقع على المنحنة فهل هذا الكلام
+
+364
+00:38:40,540 --> 00:38:45,300
+كما هو في حالة ال polar coordinates أم لا هذا ما
+
+365
+00:38:45,300 --> 00:38:53,950
+سنجيب عليه بعد قليل المنحنة لأن هذا لو شلت θوكتبنا
+
+366
+00:38:53,950 --> 00:39:00,970
+هنا تلاتة باي على أربعة وطلع الناتج اللي هو قيمة R
+
+367
+00:39:00,970 --> 00:39:05,250
+اللي هي قداش اتنين بيقول الله فعلا بمر بالنقطة دي
+
+368
+00:39:05,250 --> 00:39:12,350
+طيب لو ما طلعش ما طلعتش القيمة اتنين كده قد يمر
+
+369
+00:39:12,350 --> 00:39:18,080
+وقد لا يمربنقدر نحكم إلا بدأ الشغل كمان خطوة كيف؟
+
+370
+00:39:18,080 --> 00:39:25,620
+كالتالي يبقى احنا بدنا ناخد اتنين sign اتنين في
+
+371
+00:39:25,620 --> 00:39:31,320
+تلاتة by على اربع انطلع الجواب هو الاتنين اللي
+
+372
+00:39:31,320 --> 00:39:34,860
+عندنا هذي بيكون كافة الله المؤمنين القتال ما طلع
+
+373
+00:39:35,020 --> 00:39:39,400
+يبقى .. بدك تروح اتدبّل حالك ابنين يقولوا كويس
+
+374
+00:39:39,400 --> 00:39:43,940
+يبقى هذه ايه اتنين ما هي هذه قيمة R صحيح ولا لا
+
+375
+00:39:43,940 --> 00:39:48,080
+يبقى ال R لازم يطلع اتنين اذا كان المنحنة بمر
+
+376
+00:39:48,080 --> 00:39:54,270
+بالنقطة هذه فبدي بقوله اتنين صينتنين في أربعة وضلت
+
+377
+00:39:54,270 --> 00:40:00,650
+تلاتة باي على اتنين ويساوي اتنين. هذي متين وسبعين
+
+378
+00:40:00,650 --> 00:40:06,530
+درجة جيب ال متين وسبعين سالب واحد يساوي سالب
+
+379
+00:40:06,530 --> 00:40:12,070
+اتنين. لا يساوي اتنين. الاصل يطلع اتنين بالوجب.
+
+380
+00:40:12,270 --> 00:40:17,310
+فالان دي قداش سالب اتنين. اذا ماقدرش اقول النقطة
+
+381
+00:40:17,310 --> 00:40:19,670
+هذه اللي تقع على المنحنة.
+
+382
+00:40:21,870 --> 00:40:30,810
+بنقول له بطل ولكن النقطة هذه الهي اتنين و تلاتة بي
+
+383
+00:40:30,810 --> 00:40:34,570
+على اربعة is equivalent
+
+384
+00:40:36,330 --> 00:40:41,810
+تو النقطة اللي بدك فيها هي مين؟ سالي باتنين و
+
+385
+00:40:41,810 --> 00:40:46,750
+تلاتة باي على أربعة بده اروح أضيفلها مين؟ يبقى
+
+386
+00:40:46,750 --> 00:40:50,530
+غيرت الإشارة من موجي بقى أنا أساليب أروح أضيف مين؟
+
+387
+00:40:50,530 --> 00:40:56,990
+أروح أضيف باي يبقى هذه بدها تساوي سالي باتنين وهذه
+
+388
+00:40:56,990 --> 00:41:03,780
+أساليب اتنينهذه لو أخذتها عن مشرك بصير سبعة باي
+
+389
+00:41:03,780 --> 00:41:10,240
+على أربعة بالشكل اللي قلناه هناالان تعالى نشوف هل
+
+390
+00:41:10,240 --> 00:41:15,160
+هذه النقطة تقع على المنحنة او لا، اذا وقعت على
+
+391
+00:41:15,160 --> 00:41:20,340
+المنحنة فعلا، بتبقى النقطة الأصلية تقع على المنحنة
+
+392
+00:41:20,340 --> 00:41:25,640
+لإنها تكافئها تماما.وتو احنا بنرسم، رسمنا نقاط
+
+393
+00:41:25,640 --> 00:41:30,360
+كثيرة بزوايا مختلفة، وكلها طلعت من؟ طلعت نفس
+
+394
+00:41:30,360 --> 00:41:35,840
+النقطة.يبقى بالدرجة اقول له ارق ساوي اتنين ساين
+
+395
+00:41:35,840 --> 00:41:44,080
+اتنين سبعة باي على اربعة ويساوي اتنين ساين اتنين
+
+396
+00:41:44,080 --> 00:41:51,570
+مع الأربعة بيصير سبعة باي على اتنينيعني اتنين sign
+
+397
+00:41:51,570 --> 00:41:57,410
+أبسر جداش هذه فيها دورات كاملة اه هذه تلاتة و نص
+
+398
+00:41:57,410 --> 00:42:02,570
+تلات دورات و نص طب هو دورة ال sign جداش ال period
+
+399
+00:42:02,570 --> 00:42:08,650
+اتنين by يبقى بظل اتنين by زائد واحد و نص by يبقى
+
+400
+00:42:08,650 --> 00:42:15,180
+تلاتة على اتنين by صحيح ولا لأ؟طيب اتنين باى هذه
+
+401
+00:42:15,180 --> 00:42:20,480
+دورة كاملة اتنين باى بتأثر على القيمة خلتها والله
+
+402
+00:42:20,480 --> 00:42:26,100
+شيلتها سيانة بتفرجش عندنا يبقى هذه اتنين sign
+
+403
+00:42:26,100 --> 00:42:32,420
+تلاتة باى على اتنين يبقى هذه تساوي مين؟ تساوي
+
+404
+00:42:32,420 --> 00:42:37,760
+اتنين في جداش في سالب واحد اللي هو في جداش اذا لما
+
+405
+00:42:37,760 --> 00:42:43,490
+عوّبت بازاي هذه طلع عند مين؟معنى هذا الكلام إن
+
+406
+00:42:43,490 --> 00:42:47,770
+النقطة هذه تقع على المنحنة وبالتالي النقطة
+
+407
+00:42:47,770 --> 00:42:52,790
+المكافئة لها هذه تقع على مين؟ على نفس المنحنة. So
+
+408
+00:42:52,790 --> 00:43:00,910
+the point اللي يمين سالب اتنين وسبعة باية على
+
+409
+00:43:00,910 --> 00:43:08,750
+أربعة and it's equivalent point
+
+410
+00:43:10,780 --> 00:43:18,700
+lie on the graph of
+
+411
+00:43:18,700 --> 00:43:24,700
+Y تساوي اتنين صين اتنين ثتر
+
+412
+00:43:32,450 --> 00:43:37,390
+خلاص، بيكون وفيد، لأ تقع على المنحنة يعني إذا
+
+413
+00:43:37,390 --> 00:43:41,430
+جيبنا النقطة ولقينها لم تقع، جيبنا ال equivalent
+
+414
+00:43:41,430 --> 00:43:46,250
+لقينها تقع، بيصير أصلا تقع على المنحنة إذا لجبت
+
+415
+00:43:46,250 --> 00:43:49,690
+equivalent كمان لاتقع، بيكون وفيد، خلاص النقطة
+
+416
+00:43:49,690 --> 00:43:54,150
+لاتقع على المنحنة، كده؟ ار نواية، ار، ار، مافيش
+
+417
+00:43:54,150 --> 00:44:00,610
+هالنواية كلها، ار هذه، اي نواية صح حقكهذه R وليس Y
+
+418
+00:44:00,610 --> 00:44:07,650
+لأننا نعمل بالبولار ايوة ليس
+
+419
+00:44:07,650 --> 00:44:12,590
+بالضرورة C توا وT تانوة اي رضع احنا انا اجي هنا
+
+420
+00:44:12,590 --> 00:44:19,100
+اقول الزاوية هذه كان بإمكاني اقول الزاوية هذههذا
+
+421
+00:44:19,100 --> 00:44:22,200
+الخط هو θ تساوي سالب ثتانه
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk.srt
new file mode 100644
index 0000000000000000000000000000000000000000..dc4bbe7f47fe24dc5c259879c14ebaf7f2695982
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk.srt
@@ -0,0 +1,2175 @@
+1
+00:00:09,080 --> 00:00:15,340
+بسم الله الرحمن الرحيم المرة الماضية بدأنا في
+
+2
+00:00:15,340 --> 00:00:21,380
+section geographical in polar coordinates الرسم في 
+
+3
+00:00:21,380 --> 00:00:26,700
+الإحداثيات القطبية وقلنا في نقطتين نظري النقطة
+
+4
+00:00:26,700 --> 00:00:30,120
+الأولى دراسة اللي هي ال symmetry التماثل بالنسبة 
+
+5
+00:00:30,120 --> 00:00:35,280
+للمحاور والنقطة الثانية هي الاسلوب تبع الملحنة
+
+6
+00:00:35,280 --> 00:00:39,760
+يبقى قولنا ال symmetry هذا هو استبدال لمين
+
+7
+00:00:39,760 --> 00:00:43,260
+للمعلومات اللي كنا ناخدها في Calculus A على الـ
+
+8
+00:00:43,260 --> 00:00:46,260
+Cartesian coordinates الـ local maximum و ال local
+
+9
+00:00:46,260 --> 00:00:49,400
+minimum و ال concave up و ال concave down و ال
+
+10
+00:00:49,400 --> 00:00:53,700
+inflection points هذا كله هنستبدله بمين بالسمتري
+
+11
+00:00:53,700 --> 00:00:59,700
+عندنا في الرسم الأول مثال من ناحية الرسم بيقول
+
+12
+00:00:59,700 --> 00:01:04,410
+sketch the graph of the curve  r تساوي 2 زائد 4 كوساين ثيتا هذا المنحنى منسمي منحنى اللمسن
+
+13
+00:01:04,410 --> 00:01:10,070
+وال inner loop يعني بعروة داخلية inner loop عروة
+
+14
+00:01:10,070 --> 00:01:15,430
+داخلية طب نشوف كيف بدنا نرسمها مش هنرسمها ده نروح
+
+15
+00:01:15,430 --> 00:01:20,590
+نبحث ال symmetry يبقى أول شغلة بدي أجي أخد ال
+
+16
+00:01:20,590 --> 00:01:26,050
+symmetry تبع هذا الملحنة يبقى بدنا نبحث ال
+
+17
+00:01:26,050 --> 00:01:32,030
+symmetry تمام؟ بدأجي للنقطة الأولى المنحنى بدأ أفحص
+
+18
+00:01:32,030 --> 00:01:39,380
+هل هو متمثل بالنسبة لمحور X ولا لأ كتبنا المرة
+
+19
+00:01:39,380 --> 00:01:44,080
+الماضية بشأن نشوفه متمثل بالنسبة لمحور X بدنا نشيل
+
+20
+00:01:44,080 --> 00:01:48,320
+كل ثيتا ونحط مكانها سالب ثيتا يبقى بدأجي للمنحنى
+
+21
+00:01:48,320 --> 00:01:54,160
+2 زائد 4 كوساين لسالب ثيتا ال cosine
+
+22
+00:01:54,160 --> 00:02:00,840
+function even ولا odd؟ even يبقى cosine لسالب ثيتا
+
+23
+00:02:00,840 --> 00:02:06,290
+هو cosine ثيتا يبقى يساوي 2 زائد 4
+
+24
+00:02:06,290 --> 00:02:14,370
+في cosine الزاوية ثيتا طب هذا مش هو المنحنى الأصلي
+
+25
+00:02:14,370 --> 00:02:20,010
+اللي فوق يبقى نفس المنحنى الأصلي يبقى معنى هذا
+
+26
+00:02:20,010 --> 00:02:24,790
+الكلام ان المنحنى هذا متماثل بالنسبة لمحور X يبقى
+
+27
+00:02:24,790 --> 00:02:30,190
+باجي بقوله هنا the graph
+
+28
+00:02:30,190 --> 00:02:32,090
+اسمها symmetric about
+
+29
+00:02:35,200 --> 00:02:41,020
+the X Axis الملحنة متمثل بالنسبة لمحور X يعني لما
+
+30
+00:02:42,900 --> 00:02:49,240
+نرسم النصب اللي أعلى محور X بيكون زي النصب اللي
+
+31
+00:02:49,240 --> 00:02:53,560
+أسفل محور X النقطة الثانية، بدنا نشوف هل هناك
+
+32
+00:02:58,540 --> 00:03:02,880
+تمثل بالنسبة لمحور Y ولا لأ، كده لما نشيل كل θيتا
+
+33
+00:03:02,880 --> 00:03:09,440
+ونحط مكانها π ناقص ثيتا يبقى 2 زائد 4
+
+34
+00:03:09,440 --> 00:03:16,830
+كوساين ل π ناقص ثيتا يبقى هذه تساوي 2 زائد
+
+35
+00:03:16,830 --> 00:03:22,850
+4 فين هذه بيدفكها بوسطة حساب المثلثات يبقى
+
+36
+00:03:22,850 --> 00:03:30,190
+cos π cos θ زائد sin π sin θ
+
+37
+00:03:30,190 --> 00:03:35,370
+sin π by zero cos 180 بسالب واحد يبقى
+
+38
+00:03:35,370 --> 00:03:40,910
+صلة المثلة هي 2 ناقص 4 cos الزاوية ثيتا
+
+39
+00:03:40,910 --> 00:03:48,960
+يبقى هل هذا r؟ يبقى لا تساوي r معناته ماعرفش يكون
+
+40
+00:03:48,960 --> 00:03:53,120
+فيه تماثل لأ بدنا نروح نجيب النقطة المكافئة لها
+
+41
+00:03:53,570 --> 00:04:01,190
+يبقى النقطة المكافئة لها ها بدنا نضيف π ونحط
+
+42
+00:04:01,190 --> 00:04:05,430
+الإشارة r بالسالب يصير عندى 2π شيلناها يبقى
+
+43
+00:04:05,430 --> 00:04:10,890
+يقولنا ناقص r و ناقص ثيتا لنبحث هل هي على المنحنى
+
+44
+00:04:10,890 --> 00:04:20,250
+ولا لأ يبقى بداشي أخد 2 زائد 4 كوسايل سالب 
+
+45
+00:04:20,250 --> 00:04:26,260
+ثيتا لو في تماثل بالنسبة ل Y بدي أطلع الجواب سالب r
+
+46
+00:04:26,260 --> 00:04:33,660
+لكن هذه بدها تساوي قدرش 2 زائد 4 Cos θ يبقى هنا
+
+47
+00:04:33,660 --> 00:04:42,680
+تماثل بالنسبة لمحور Y فبروح بقوله No symmetry
+
+48
+00:04:42,680 --> 00:04:46,220
+about
+
+49
+00:04:46,220 --> 00:04:50,860
+the Y axis
+
+50
+00:04:53,560 --> 00:05:01,920
+طيب سؤال بيطرح نفسه هل تتوقع أن يكون هناك تماثل
+
+51
+00:05:01,920 --> 00:05:07,140
+بالنسبة لنقطة الأصل؟ لأ طبعا. ليش؟ إنه كان هناك
+
+52
+00:05:07,140 --> 00:05:11,320
+تماثل بالنسبة لنقطة الأصل، أصبح عندي تماثلين. وإذا
+
+53
+00:05:11,320 --> 00:05:15,380
+عندي تماثلين، يبقى التماثل الثالث موجود. يبقى
+
+54
+00:05:15,380 --> 00:05:19,600
+خليني على مين؟ بس بدنا نروح نثبت صح هذا صمم أمان
+
+55
+00:05:19,600 --> 00:05:24,080
+بالنسبة لي، أبين إنه ماعنديش تماثل بالنسبة لنقطة
+
+56
+00:05:24,080 --> 00:05:28,210
+الأصل. يبقى النقطة الأولى بالنسبة لنقطة الاصل لو
+
+57
+00:05:28,210 --> 00:05:35,250
+شيلت ال r وحطيت مكانها سالب r بدي يطلع r itself
+
+58
+00:05:35,250 --> 00:05:42,290
+هيكل تمام يبقى هذه بدي بقول ناقص r بدي يساوي ناقص
+
+59
+00:05:42,290 --> 00:05:49,250
+2 ناقص 4 كوسين الزاوية ثيتا وهذا لا يساوي
+
+60
+00:05:49,250 --> 00:05:57,580
+ال r أنا بسويش ال r بتاتا طيب بيكفي؟ بيكفيش بقوله
+
+61
+00:05:57,580 --> 00:06:05,620
+ضبط ولكن اللي هو 2 زائد 4 cosine π زائد
+
+62
+00:06:05,620 --> 00:06:11,000
+ثيتا بنروح نجيب النقطة المكافئة لها تماما وهي
+
+63
+00:06:11,000 --> 00:06:18,400
+تساوي اللي هو مين 2 زائد 4 في cosine π
+
+64
+00:06:26,100 --> 00:06:37,260
+يبقى 0 - 1 يبقى 2 - 4 cos θ
+
+65
+00:06:45,010 --> 00:06:50,550
+لا يساوي r يبقى معناته no symmetry about the
+
+66
+00:06:50,550 --> 00:06:51,070
+origin
+
+67
+00:07:04,340 --> 00:07:09,380
+ماعنديش تماثل بالنسبة لنقطة الأصل خلصنا يبقى بعتنا
+
+68
+00:07:09,380 --> 00:07:14,320
+ففحصنا التماثل يبقى لا يوجد عندي تماثل إلا بالنسبة
+
+69
+00:07:14,320 --> 00:07:19,580
+لمين لمحور X بعد هيك بناروح نعمل جدول وبعد ما
+
+70
+00:07:19,580 --> 00:07:24,280
+نعمل الجدول بنروح نرسم يبقى لو جينا عملنا جدول
+
+71
+00:07:24,280 --> 00:07:25,680
+بالشكل اللي عندنا هذا
+
+72
+00:07:30,140 --> 00:07:35,980
+أنا جيت وقلت هنا ثيتا وهنا r r اللي هي عندنا تساوي
+
+73
+00:07:35,980 --> 00:07:42,840
+2 زائد 4 في كوساين الزاوية ثيتا وبدنا نبدأ
+
+74
+00:07:42,840 --> 00:07:51,060
+بـين بالزاوية Zero كوساين صفر 4 و 2 6 كويس
+
+75
+00:07:51,060 --> 00:07:56,680
+طيب بدنا نزيد لو جينا خدنا الزاوية مثلا 30
+
+76
+00:07:56,680 --> 00:08:02,800
+درجة يبقى جتا 30 جذر 3 على 2 يبقى يصير
+
+77
+00:08:02,800 --> 00:08:07,260
+2 جذر 3 جذر 3 بـ 1.7 من عشرة يبقى
+
+78
+00:08:07,260 --> 00:08:13,200
+3 صحيح و 4 من عشرة زائد 2 5 صحيح
+
+79
+00:08:13,200 --> 00:08:22,640
+و 4 من عشرة لو جيت مثلا 60 درجة جتا 60 نص
+
+80
+00:08:22,640 --> 00:08:29,310
+في 4 بـ 2 و 2 4 لو جيت قلت 90 درجة
+
+81
+00:08:29,310 --> 00:08:36,670
+90 في 90 جتا 90 بصفر يبقى بصير 2 بعدك
+
+82
+00:08:36,670 --> 00:08:43,730
+لو رحت قلت 120 درجة يبقى 120 درجة
+
+83
+00:08:43,730 --> 00:08:51,230
+جتها جتا 60 بس بالثالث جتا 60 بنص يبقى سالب نص
+
+84
+00:08:51,230 --> 00:08:59,330
+في 4 سالب 2 و 2 بعد ذلك لو جيت عند ال
+
+85
+00:08:59,330 --> 00:09:08,350
+150 درجة هو هي عند ال 180 درجة، لو جيت جتا ال 150
+
+86
+00:09:08,350 --> 00:09:14,000
+هي جتا ال 30 جتا 30 جذر 3 على 2 بس
+
+87
+00:09:14,000 --> 00:09:22,160
+بالسالب يبقى 2 ناقص 2 جذر 3 يعني 2
+
+88
+00:09:22,160 --> 00:09:28,400
+ناقص 3 صحيح و 4 من عشرة بيطلع سالب 1 صحيح
+
+89
+00:09:28,400 --> 00:09:33,320
+و 4 من عشرة جتا 180 بسالب واحد يبقى
+
+90
+00:09:33,320 --> 00:09:40,770
+2 وسالب 4 ليه بمين بسالب 2 الآن بدنا
+
+91
+00:09:40,770 --> 00:09:48,010
+نروح للرسم ونشوف كيف بدنا نرسم هذا المنحنى يبقى
+
+92
+00:09:48,010 --> 00:09:54,230
+ماجي بقول هي المحاور هذا θ تساوي zero وهذا
+
+93
+00:09:54,230 --> 00:10:00,370
+θ تساوي π على 2 اللي هو 90 درجة وبدنا
+
+94
+00:10:00,370 --> 00:10:06,260
+نرسم لما كان θ تساوي زيرو كانت r تساوي جداش
+
+95
+00:10:06,260 --> 00:10:11,760
+تساوي 6 يبقى عندما θ تساوي زيرو بدي .. يعني
+
+96
+00:10:11,760 --> 00:10:17,180
+الخط θ تساوي زيرو بدي أخد طول عليه تساوي جداش
+
+97
+00:10:17,180 --> 00:10:23,540
+6 يبقى هذه النقطة إحداثياتها 6 و Zero بعد
+
+98
+00:10:23,540 --> 00:10:28,440
+ذلك بدي أتي 30 درجة بدي أرسم الخط θ تساوي
+
+99
+00:10:28,440 --> 00:10:34,470
+30 درجة بالشكل اللي عملنا هذا يبقى هذا الخط
+
+100
+00:10:34,470 --> 00:10:42,150
+اللي هو θ تساوي 30 درجة تمام؟ على 30
+
+101
+00:10:42,150 --> 00:10:46,690
+درجة بدي أجيس كده؟ 5 و 4 من عشرة يعني أقل من
+
+102
+00:10:46,690 --> 00:10:53,650
+6 بشوية يبقى هذا 5 و 4 من عشرة بعد
+
+103
+00:10:53,650 --> 00:11:00,810
+الـ 30 بدي أخد 60 درجة يبقى هذه 60 درجة 60
+
+104
+00:11:00,810 --> 00:11:06,470
+درجة بدي أخد عليها طول 4 يعني أقل شوية يبقى
+
+105
+00:11:06,470 --> 00:11:13,430
+أقل شوية يبقى هذه 30 درجة هذه 60 درجة عند
+
+106
+00:11:13,430 --> 00:11:18,650
+الـ 90 درجة بدي أخد الطول اللي هو قداش الـ 2
+
+107
+00:11:18,650 --> 00:11:25,530
+تمام عند الـ 120 درجة يبقى هذه الـ 120
+
+108
+00:11:25,530 --> 00:11:33,760
+درجة هذه يكون الـ 120 درجة بالشكل هذا يبقى θ
+
+109
+00:11:33,760 --> 00:11:40,900
+تساوي 120 درجة بتاخد عليها طول جداش Zero يبقى
+
+110
+00:11:40,900 --> 00:11:49,420
+وقفنا على نقطة الأصل بعد الـ 120 جينا لـ 150 150
+
+111
+00:11:49,420 --> 00:11:56,200
+بالشكل هذا يبقى θ تساوي 150 درجة بتاخد عليها
+
+112
+00:11:56,200 --> 00:12:01,200
+طول جداش يبقى السالب هي فوق الـ 105 يبقى هاي
+
+113
+00:12:01,200 --> 00:12:07,000
+يجيس وين في الخلف يبقى سالب 1 و 4 من عشرة هي
+
+114
+00:12:07,000 --> 00:12:12,540
+سالب 1 و 4 من عشرة بعد الـ 180 درجة
+
+115
+00:12:12,540 --> 00:12:17,620
+يبقى هذه الـ 180 درجة يجيس عليها وين سالب
+
+116
+00:12:17,620 --> 00:12:24,310
+2 في الخلف يبقى هاي سالب 2 الآن بدي أوصل
+
+117
+00:12:24,310 --> 00:12:29,830
+بين هذه النقاط وبدي امشي براحة شوية شوية زي ما
+
+118
+00:12:29,830 --> 00:12:36,670
+كنت ماشي في الرسم وجينا هنا ورجعنا هنا كويس؟
+
+119
+00:12:36,670 --> 00:12:43,650
+يبقى هذا الملحنة اللي احنا ماشينا مع النقاط عليه
+
+120
+00:12:45,360 --> 00:12:49,940
+جالي هنا الملحنة متمثل بالنسبة لمحور X يعني الرسم
+
+121
+00:12:49,940 --> 00:12:55,560
+اللي فوق محور X تماما مثل الرسم اللي تحت محور X
+
+122
+00:12:55,560 --> 00:13:04,000
+هذا الآن أسفل محور X إذا بيظهر جزء زيها أعلى محور
+
+123
+00:13:04,000 --> 00:13:10,900
+X بهذا الشكل تمام الجوز اللي فوق بيظهر جوز ثاني
+
+124
+00:13:10,900 --> 00:13:18,670
+زيه بهذا الشكل تمام؟ يبقى هذا الملحنة اللي هو
+
+126
+00:13:18,670 --> 00:13:23,150
+Limison with inner lob هي العروة الداخلية ظهرت
+
+127
+00:13:23,150 --> 00:13:28,010
+عندنا تمام؟ يبقى هذا اللي اسمه Limison with inner 
+
+128
+00:13:28,010 --> 00:13:34,570
+lob آخر نقطة كانت النقطة هذه اللي سالب اثنين وبعيد
+
+129
+00:13:34,570 --> 00:13:40,730
+لإحداثيات النقطة اللي عندنا هذا طيب ايش رأيك؟ هذا
+
+130
+00:13:40,730 --> 00:13:47,810
+منحنى هأطلق لك منه ستة عشر منحنى من المنحنى اللي
+
+131
+00:13:47,810 --> 00:13:54,310
+عندنا هنا من خلال ملاحظاتنا شوف يا سيدي الآن بروح
+
+132
+00:13:54,310 --> 00:14:00,890
+أعمم هذه الرسمة بدي أعممها كيف؟ كالتالي بدي أخد
+
+133
+00:14:00,890 --> 00:14:07,790
+النقطة الأولى احنا معادلتنا هذه كانت R على الشكل
+
+134
+00:14:07,790 --> 00:14:15,350
+التالي A وB بدي أخدهم أكبر من الـ zero و أجعل A أقل
+
+135
+00:14:15,350 --> 00:14:25,110
+من B والـ A أقل من B والمنحنى كان R يساوي A زائد
+
+136
+00:14:25,110 --> 00:14:32,040
+B في Cosine الزاوية هذا المنحنى هكذا هي الـ A وهي 
+
+137
+00:14:32,040 --> 00:14:37,100
+الـ B تمام؟ زي ما تلاحظ الـ A أقل من B اثنين أقل من
+
+138
+00:14:37,100 --> 00:14:41,500
+أربعة والـ A والـ B بالموجب بدنا نرسم المنحنى هذا
+
+139
+00:14:41,500 --> 00:14:49,080
+هذا المنحنى لو رحت رسمته هيأخذ الشكل التالي Iθ
+
+140
+00:14:49,080 --> 00:14:54,340
+تساوي Zero وIθ تساوي Pi على اثنين اللي همّين
+
+141
+00:14:54,340 --> 00:14:58,750
+المنحنى اللي هناك اللي عندنا يبقى بعد هيك، أيش ما
+
+142
+00:14:58,750 --> 00:15:04,770
+يكون الأرقام اثنين، ثلاثة، واحد، خمسة، جد ما يكون
+
+143
+00:15:04,770 --> 00:15:11,030
+المنحنى هيطلع شكله بالشكل هذا هيك تمام؟ والشكل
+
+144
+00:15:11,030 --> 00:15:16,720
+الثاني هيك، وتجيلك العروة الداخلية بهذا الشكل هذا
+
+145
+00:15:16,720 --> 00:15:23,440
+المنحنى اللي هو R يساوي A زائد B في Cos الزاوية
+
+146
+00:15:23,440 --> 00:15:30,920
+ثيتا طيب لو حصل أن الزائد هذه صارت ناقص بكل بساطة
+
+147
+00:15:30,920 --> 00:15:35,990
+الرسمة زي ما هي بيبتغلب وين؟ جهة المحور السالب لثيتا
+
+148
+00:15:35,990 --> 00:15:40,950
+تساوي زيرو يعني جهة ثيتا تساوي باي يبقى بيصير
+
+149
+00:15:40,950 --> 00:15:47,370
+المنحنى على الشكل التالي هذا ثيتا تساوي زيرو وهذا
+
+150
+00:15:47,370 --> 00:15:52,410
+ثيتا تساوي باي على اثنين بيصير المنحنى عنده بالشكل
+
+151
+00:15:52,410 --> 00:15:56,030
+هذا وهذا
+
+152
+00:15:56,030 --> 00:16:02,890
+الـ inner lob بالشكل اللي عندنا هذا يجب أن يكون
+
+153
+00:16:02,890 --> 00:16:09,350
+المنحنى معادلة r يساوي a ناقص b في Cosine الزاوية
+
+154
+00:16:09,350 --> 00:16:16,040
+θ طيب لو كان بدل الـ Cosine صارت Sine ما في اللي بده
+
+155
+00:16:16,040 --> 00:16:23,020
+ييحصل؟ يبقى لو كان عندي R يساوي ايه ناقص b في Sine
+
+156
+00:16:23,020 --> 00:16:28,500
+الزاوية ثيتا يبقى تقولها المنحنى بالشكل هذا I ثيتا
+
+157
+00:16:28,500 --> 00:16:33,720
+تساوي zero وI ثيتا تساوي Pi على الاثنين يبقى
+
+158
+00:16:33,720 --> 00:16:37,240
+الرسمة بدا جد ما كان فيه تمثل بالنسبة لمحور X
+
+159
+00:16:37,240 --> 00:16:41,860
+هيصير فيه تمثل بالنسبة لمحور Y للإشارة السالبة
+
+160
+00:16:41,860 --> 00:16:47,780
+يبقى الرسمة كلها تحت محور X أو غالبها يبقى بده يجي
+
+161
+00:16:47,780 --> 00:16:53,480
+كك الرسمة وهذه من الناحية الثانية وهذه الـ inner
+
+162
+00:16:53,480 --> 00:16:55,220
+lob الشكل اللي عندها
+
+163
+00:16:59,400 --> 00:17:05,440
+طيب لو بدل إشارة السالب صار موجب يبقى المنحنى هذا
+
+164
+00:17:05,440 --> 00:17:11,200
+هيأخذ الشكل التالي يبقى هذا θ تساوي zero وهذا θ
+
+165
+00:17:11,200 --> 00:17:16,540
+تساوي π على اثنين يبقى يجيك المنحنى بالشكل هذا
+
+166
+00:17:16,540 --> 00:17:22,110
+ومن هنا بالشكل هذا وهذا الـ inner lob بهذا الشكل
+
+167
+00:17:22,110 --> 00:17:28,890
+يبقى هذا R يساوي A زائد B في Sine الزاوية تيتا إذا
+
+168
+00:17:28,890 --> 00:17:32,990
+الإشارة بالموجب بيبقى الرسم غالبها على الـ X axis
+
+169
+00:17:32,990 --> 00:17:37,410
+إذا الإشارة بالسالب ومع الـ sign يبقى الرسم غالبها
+
+170
+00:17:37,410 --> 00:17:43,090
+أسفل الـ X axis إذا الإشارة بالسالب للـ Cosine يبقى
+
+171
+00:17:43,090 --> 00:17:47,370
+الجهة السالبة للـ X axis إذا الإشارة بالموجب بيقبل
+
+172
+00:17:47,370 --> 00:17:54,850
+جهة اليمين هذا لو كان الـ A أقل من B طيب لو حصل أن الـ
+
+173
+00:17:54,850 --> 00:17:59,930
+A يساوي الـ B شو بدي يكون الوضع؟ يبقى بالدّرجة هنا
+
+174
+00:17:59,930 --> 00:18:05,690
+لنمرّ اثنين لو كان الـ a يساوي الـ b في المنحنى بدي
+
+175
+00:18:05,690 --> 00:18:12,710
+يصير r يساوي a زائد b في Cosine الزاوية ثانية لو
+
+176
+00:18:12,710 --> 00:18:17,330
+رحت رسمت الرسمة بتطلع نفس الرسم هذا بالضبط بس
+
+177
+00:18:17,330 --> 00:18:25,390
+بتطير الـ inner lob بيصير منحنى الكاردويد منحنى القلب
+
+178
+00:18:25,390 --> 00:18:30,670
+بدون inner load كيف؟ كالتالي يبقى هذا المنحنى
+
+179
+00:18:30,670 --> 00:18:35,890
+بيصير بهذا الشكل I theta تساوي Zero وI theta
+
+180
+00:18:35,890 --> 00:18:44,610
+تساوي Pi على اثنين والمنحنى بيجيلك هيك بس inner
+
+181
+00:18:44,610 --> 00:18:52,170
+load ما عنديش تمام؟ طيب لو كان المعادلة R يساوي A ناقص
+
+182
+00:18:52,170 --> 00:18:57,950
+B فيه ناقص A فيه Cosine ما في اللي A تساوي الـ B يا
+
+183
+00:18:57,950 --> 00:19:06,530
+شباب كلّه A ما عنديش B A تساوي الـ B طبعًا يبقى a ناقص
+
+184
+00:19:06,530 --> 00:19:11,670
+الـ a في Cos الزاوية θ يبقى المنحنى بيصير بالشكل
+
+185
+00:19:11,670 --> 00:19:17,510
+هذا θ تساوي zero وهنا θ تساوي pi على اثنين و
+
+186
+00:19:17,510 --> 00:19:25,060
+المنحنى بيصير بالشكل اللي عندك هنا طيب لو كان
+
+187
+00:19:25,060 --> 00:19:35,980
+بدلالة الـ Sine يعني الـ a أو الـ r تساوي a ناقص a في
+
+188
+00:19:35,980 --> 00:19:39,980
+الـ Sine الزاوية theta يبقى المنحنى بالشكل اللي
+
+189
+00:19:39,980 --> 00:19:44,960
+عندنا هذا theta تساوي zero وهنا theta تساوي pi على
+
+190
+00:19:44,960 --> 00:19:52,140
+اثنين والمنحنى بيصير بالشكل اللي عندنا طيب لو كان R
+
+191
+00:19:52,140 --> 00:19:59,000
+تساوي A زائد A في Sine الزاوية ثيتا يبقى المنحنى
+
+192
+00:19:59,000 --> 00:20:03,520
+بالشكل اللي عندي هذا ثيتا تساوي Zero وهذا ثيتا
+
+193
+00:20:03,520 --> 00:20:08,280
+تساوي Pi على اثنين وهذا المنحنى بيأخذ الشكل اللي
+
+194
+00:20:08,280 --> 00:20:15,890
+عندي طبعًا يبقى حتى الآن خلصنا حالتين والحالتين
+
+195
+00:20:15,890 --> 00:20:21,090
+اللي أنها تبقى ايش؟ كل واحدة فيهم بأربع رسومات
+
+196
+00:20:21,090 --> 00:20:30,850
+يبقى عندنا صار ثمانية منحنيات وبقيت ثمانية أخرى
+
+197
+00:20:30,850 --> 00:20:37,790
+ايش
+
+198
+00:20:37,790 --> 00:20:39,570
+اللي هي الحالة الثالثة؟
+
+199
+00:20:43,100 --> 00:20:52,020
+الـ A أقل من B الـ A تساوي الـ B همّ بعدها بتاخد
+
+200
+00:20:52,020 --> 00:21:04,700
+A أكبر من B يبقى F الـ A greater than B and أو بين
+
+201
+00:21:04,700 --> 00:21:14,040
+قسيان الـ A على B greater than 1 بديش أخليها زي هيك،
+
+202
+00:21:14,040 --> 00:21:19,380
+يبقى بدي أخد الـ A على B أكبر من واحد وأجلّ من
+
+203
+00:21:19,380 --> 00:21:25,990
+إيمين من الاثنين كيف يكون شكل الرسم يبقى بداخله
+
+204
+00:21:25,990 --> 00:21:33,630
+يأخذ الحالة الأولى R يساوي A زائد B في Cos الزاوية
+
+205
+00:21:33,630 --> 00:21:40,210
+ثيتا يبقى المنحنى بهذا الشكل ثيتا تساوي Zero ثيتا
+
+206
+00:21:40,210 --> 00:21:47,990
+تساوي Pi على اثنين لاحظ الحالة الأولى لما قلنا 
+
+207
+00:21:47,990 --> 00:21:52,710
+للثانية طارت الـ inner lob وصار المنحنى بيبدأ من
+
+208
+00:21:52,710 --> 00:21:58,530
+نقطة الأصل و بيرجع لنقطة الأصل المرة هذه مش هيرجع
+
+209
+00:21:58,530 --> 00:22:03,750
+لنقطة الأصل لا يبدأ منها ولا يرجع لها بيصير هذا
+
+210
+00:22:03,750 --> 00:22:09,350
+للخارج كيف كانت تالي يعني بيصير المنحنى كان في
+
+211
+00:22:09,350 --> 00:22:15,420
+الأصل زي هيك مظبوط؟ يبقى بيجي كلمة من الحالة بيكمل
+
+212
+00:22:15,420 --> 00:22:22,840
+هيك وبيجي هيك بس ما يوصلش لنقطة الأصل تمام؟ لو جت لي
+
+213
+00:22:22,840 --> 00:22:28,120
+الحالة الثانية R تساوي ايه ناقص B في Cosine
+
+214
+00:22:28,120 --> 00:22:29,400
+الزاوية ثيتا
+
+215
+00:22:32,040 --> 00:22:37,020
+يبقى هذا theta تساوي zero وهذا theta تساوي pi على
+
+216
+00:22:37,020 --> 00:22:41,240
+اثنين خلّي أرجع لك هنا كويس يبقى المنحنى بيصير
+
+217
+00:22:41,240 --> 00:22:46,620
+علويا على الناحية الثانية بهذا الشكل وبيجيك
+
+218
+00:22:46,620 --> 00:22:52,720
+المنحنى يكمل ويجي بالشكل هذا يعني في دنت دنت
+
+219
+00:22:52,720 --> 00:23:00,140
+نتوء أو انبعاد للداخل نتوء للداخل أو انبعاد للداخل
+
+220
+00:23:00,140 --> 00:23:06,860
+طيب الحالة الثالثة لو كان الـ R يساوي A ناقص B في
+
+221
+00:23:06,860 --> 00:23:11,140
+الـ Sine الزاوية فيه يبقى المنحنى هيفضل يصير بالشكل
+
+222
+00:23:11,140 --> 00:23:17,960
+هذا تيتا تساوي zero وهنا تيتا تساوي باي على اثنين
+
+223
+00:23:17,960 --> 00:23:26,780
+يبقى المنحنى بهذا الشكل هيك وبده يجي لهيدا هيك طبعًا
+
+224
+00:23:26,780 --> 00:23:32,600
+بلّة الحالة الرابعة والأخيرة اللي هي R تساوي A
+
+225
+00:23:32,600 --> 00:23:36,520
+زائد B في Sine الزاوية تيتا
+
+226
+00:23:42,830 --> 00:23:48,450
+المنحنى هيصبح على الشكل التالي هذا theta تساوي
+
+227
+00:23:48,450 --> 00:23:54,930
+zero وهذا theta تساوي باي على اثنين المنحنى هيصبح
+
+228
+00:23:54,930 --> 00:24:03,780
+بالشكل هذا هيك وهذا يكمل هيك ويجي طالع تمام؟ يبقى
+
+229
+00:24:03,780 --> 00:24:07,500
+هذه الحالات الأربع الأخرى طيب الحالة الرابعة
+
+230
+00:24:07,500 --> 00:24:17,780
+والأخيرة لو كان الـ a greater than b and الـ a على b
+
+231
+00:24:17,780 --> 00:24:24,800
+أكبر من أو يساوي 2 النقطة هذا كلّه بيروح وبيصير تقوّس
+
+232
+00:24:24,800 --> 00:24:32,880
+للخارج بيصير Convex لماثونهذا مثلًا لماذا نسمّيه ايه
+
+233
+00:24:32,880 --> 00:24:39,540
+دنت؟ لأنّ بي عجلة يدخل دنت يعني أنّ two أو أنّ بعجلة
+
+234
+00:24:39,540 --> 00:24:46,640
+داخل الآن لو جينا لهذا سيصبح المنحنى الـ R يساوي A
+
+235
+00:24:46,640 --> 00:24:52,140
+زائد B P Cos الزاوية ثيتا يبقى المنحنى بيصير
+
+236
+00:24:52,140 --> 00:24:57,540
+بالشكل هذا هذا ثيتا تساوي Zero وهذا ثيتا تساوي Pi
+
+237
+00:24:57,540 --> 00:25:04,720
+على الاثنين هذا المنحنى هيك الشكل هذا بعد ما أقدمت
+
+238
+00:25:04,720 --> 00:25:10,260
+هذه بيصير للخارجي بيصير عندي على شكل قوس بهذا
+
+239
+00:25:10,260 --> 00:25:16,620
+الشكل من هنا مسمّيه Convex lemas lemas المحدّد طبعًا
+
+240
+00:25:16,620 --> 00:25:24,360
+طيب لو كان بالشكل اللي عندنا هذا I θ تساوي zero و
+
+241
+00:25:24,360 --> 00:25:31,240
+هنا θ تساوي π على الاثنين يبقى المنحنى بيصير
+
+242
+00:25:31,240 --> 00:25:32,080
+بالشكل هذا
+
+243
+00:25:35,670 --> 00:25:42,910
+هذا اللي هو الـ R تساوي and
+
+244
+00:25:42,910 --> 00:25:48,690
+الـ A على B greater than or equal to 2 هذا الـ R
+
+245
+00:25:48,690 --> 00:25:49,810
+تساوي
+
+246
+00:25:54,420 --> 00:26:00,300
+تساوي اللي هو الـ a ناقص الـ b في Cosine الزاوية
+
+247
+00:26:00,300 --> 00:26:06,120
+ثيتا لو جينا للـ Sine بنفس الطريقة يبقى بدي جينا
+
+248
+00:26:06,120 --> 00:26:14,060
+المنحنى بالشكل هذا R تساوي a ناقص b في Sine
+
+249
+00:26:14,060 --> 00:26:21,600
+الزاوية ثيتا يبقى المنحنى بيجينا بالشكل هذا ومن هنا
+
+250
+00:26:21,600 --> 00:26:27,240
+بيصير قوس بهذا الشكل الحالة الرابعة والأخيرة R 
+
+251
+00:26:27,240 --> 00:26:34,620
+تساوى A زائد B في جيب الزاوية ثيتا يبقى المنحنى
+
+252
+00:26:34,620 --> 00:26:40,820
+بيجينا بالشكل هذا ثيتا تساوى Zero وثيتا تساوى باي على 
+
+253
+00:26:40,820 --> 00:26:47,480
+اتنين المنحنى بالشكل هذا هيك وهذا بيجي لك قوس بهذا 
+
+254
+00:26:47,480 --> 00:26:47,920
+الشكل
+
+255
+00:26:50,890 --> 00:26:57,170
+أنا الآن يعني فهمتك تطلع على شكل المعادلة وتطلع
+
+256
+00:26:57,170 --> 00:27:02,970
+على الأرقام التابعة لها، كويس؟ بعد كده، بدك تروح تدرس
+
+257
+00:27:02,970 --> 00:27:07,430
+الـsymmetry لكل واحدة منهم يعني احنا جيبنالك على 
+
+258
+00:27:07,430 --> 00:27:12,600
+طول كاستنتاج، لكن لو جاك سؤال، بيجيك سؤال واحد بس زي
+
+259
+00:27:12,600 --> 00:27:16,440
+احنا ما بدأنا الحالة الأولى الأصلية، يجيك سؤال، لكن
+
+260
+00:27:16,440 --> 00:27:20,820
+امتى من خلال معادلة يكون طبعة في دماغك ما هو شكل
+
+261
+00:27:20,820 --> 00:27:26,360
+الرسمة؟ فبتروح تعمل الجدول وبتروح ترسم الرسمة،
+
+262
+00:27:26,360 --> 00:27:30,260
+وإذا جالك فيلم دي حال، نمرة راح ت discuss the
+
+263
+00:27:30,260 --> 00:27:34,020
+symmetry، بدك تعمل ال symmetry اللي معلناه هنا، طب
+
+264
+00:27:34,020 --> 00:27:37,620
+ما جالنيش، جاللي ارسم واسكت يبقى لا داعي
+
+265
+00:27:37,620 --> 00:27:41,720
+للـsymmetry إذا كنت عارف شكل الرسم أعمله الجدول و
+
+266
+00:27:41,720 --> 00:27:45,720
+أروح أرسمه أحيانا بنطلب الـsymmetry و بنطلبش
+
+267
+00:27:45,720 --> 00:27:50,220
+الرسمة وأحيانا بنطلب الرسمة والـsymmetry شكليين
+
+268
+00:27:50,220 --> 00:27:55,060
+يبقى أنت بتتقيد بسيط السؤال على جدر السؤال بدها
+
+269
+00:27:55,060 --> 00:28:00,440
+تكون الإجابة طيب أنا بدي أحط السؤال من عندي ها أنا
+
+270
+00:28:00,440 --> 00:28:06,370
+وياك ونتناقش إنيات من الرسومات اللي عنديلو جاء
+
+271
+00:28:06,370 --> 00:28:12,690
+تجانب سؤال في الامتحان قال لي ارسم للمنحنة R يساوي
+
+272
+00:28:12,690 --> 00:28:21,970
+مثلا أربعة زائد ثلاثة جيب الزاوية يبقى
+
+273
+00:28:21,970 --> 00:28:29,630
+هذا A زائد B بدأ أخد A على B A على B بده يساوي
+
+274
+00:28:29,630 --> 00:28:35,570
+أربعة على تلاتة أربعة على تلاتة يعني واحد وثلث أكبر
+
+275
+00:28:35,570 --> 00:28:41,370
+من واحد وأقل من منين؟ من اثنين أكبر من واحد وأقل
+
+276
+00:28:41,370 --> 00:28:47,090
+من اثنين ههه اللي هو هذي صحيح ولا لا؟ الآن يبقى
+
+277
+00:28:47,090 --> 00:28:51,750
+واحدة من الرسومات الأربعة باجي بطلة المثل عندنا
+
+278
+00:28:51,750 --> 00:28:56,390
+مطاردة من الاثنين يبقى هذه رسمتين راحوا ضلتين تين
+
+279
+00:28:56,390 --> 00:29:02,520
+هذول باجي بطلة ليه شرم الزاد؟ يبقى هذه تمام؟ يبقى
+
+280
+00:29:02,520 --> 00:29:07,280
+هي الرسمة عندك، لو كانت الإشارة بالنقص يبقى هذه،
+
+281
+00:29:07,280 --> 00:29:11,640
+لو بدل ال sign cosine يبقى الأولى، لو كان cosine
+
+282
+00:29:11,640 --> 00:29:16,000
+أو سالي بكبامين، الثانية وهكذا، يبقى من خلال
+
+283
+00:29:16,000 --> 00:29:21,160
+المعادلة بقدر لحالي أستنتج ما هي شكل الرسمة، دي
+
+284
+00:29:21,160 --> 00:29:24,200
+بالك هدول ممكن تلاقي كل واحد فيه معبرة عن سؤال في
+
+285
+00:29:24,200 --> 00:29:29,140
+الكتاب أو على الأقل عشر أسئلة من أسط الكتاب هيها
+
+286
+00:29:29,140 --> 00:29:34,500
+قدامك على اللوح، تمام؟ حد اللي هو يتسوّل قبل أن
+
+287
+00:29:34,500 --> 00:29:41,000
+نذهب إلى رسمة أخرى اسمها 111
+
+288
+00:29:44,370 --> 00:29:49,930
+قلت لك قبل قليل قلت لك حسب نص السؤال إذا قالت لك
+
+289
+00:29:49,930 --> 00:29:53,370
+نمرأي اتكلم عن سيمتري إذا قالت لك تسوي السيمتري
+
+290
+00:29:53,370 --> 00:29:55,050
+إذا قالت لك تسوي السيمتري إذا قالت لك تسوي
+
+291
+00:29:55,050 --> 00:29:55,470
+السيمتري إذا قالت لك تسوي السيمتري إذا قالت لك
+
+292
+00:29:55,470 --> 00:29:58,070
+تسوي السيمتري إذا قالت لك تسوي السيمتري إذا قالت
+
+293
+00:29:58,070 --> 00:30:00,030
+لك تسوي السيمتري إذا قالت لك تسوي السيمتري إذا
+
+294
+00:30:00,030 --> 00:30:00,330
+قالت لك تسوي السيمتري إذا قالت لك تسوي السيمتري
+
+295
+00:30:00,330 --> 00:30:03,050
+إذا قالت لك تسوي السيمتري إذا قالت لك تسوي
+
+296
+00:30:03,050 --> 00:30:05,170
+السيمتري إذا قالت لك تسوي السيمتري إذا قالت لك
+
+297
+00:30:05,170 --> 00:30:10,450
+تسوي السيمتري لكن إذا كنت من شكل المعادلة عرفتها
+
+298
+00:30:10,450 --> 00:30:14,230
+الشيء، يبقى على طول الخاطر، ماعليك أن تعمل جد ولا
+
+299
+00:30:14,230 --> 00:30:20,370
+ترسم؟ الرسمة. طبعا كل رسم من هذه الرسومات لها اسم.
+
+300
+00:30:20,710 --> 00:30:25,030
+هذا اسمنا الأول Limason و Inner Lobe. هذا اسمه شباب
+
+301
+00:30:25,030 --> 00:30:31,390
+Cardoid، منحنى القلب. هذا اسمه Cardoid.
+
+302
+00:30:35,760 --> 00:30:45,140
+لوم منحنى القلب هذا بنسميه limson with a dent يعني
+
+303
+00:30:45,140 --> 00:30:49,820
+بنطوق كتبت لك دنت هايو limson with a dent يعني
+
+304
+00:30:49,820 --> 00:30:53,000
+بنحناه
+
+305
+00:30:53,000 --> 00:30:58,500
+أو انبعاد للداخل أو نطوق للداخل هذا سميناه convex
+
+306
+00:30:58,500 --> 00:31:00,700
+هذا بتكتب لك تحت
+
+307
+00:31:11,350 --> 00:31:14,990
+ننتقل الآن إلى مثال آخر
+
+308
+00:31:43,830 --> 00:31:51,810
+مثال رقم اثنين مثال
+
+309
+00:31:51,810 --> 00:31:55,210
+رقم تلاتة لأن المرة اللي فاتت أخدنا مثال رقم واحد
+
+310
+00:31:55,210 --> 00:31:56,590
+sketch
+
+311
+00:32:01,890 --> 00:32:12,910
+of the curves المنحنيات
+
+312
+00:32:12,910 --> 00:32:24,030
+التالية نمرة A R تربيع يساوي أربعة جيب اثنين
+
+313
+00:32:24,030 --> 00:32:31,530
+ثيتا نمرة ب R تربيع يستوي أربعة في جيب تمام اثنين
+
+314
+00:32:31,530 --> 00:32:36,790
+ثيتا هذا
+
+315
+00:32:36,790 --> 00:32:39,290
+المنحنى اسمه منحنى لمنسكات
+
+316
+00:32:53,580 --> 00:32:59,040
+شوف اسمه، اتهمنيش التسمية بهذه المعادلة والشكل يبقى
+
+317
+00:32:59,040 --> 00:33:05,640
+solution وأول خطوة بنروح نعملها بدنا نبحث ال
+
+318
+00:33:05,640 --> 00:33:09,760
+symmetry النقطة الأولى تبقى بدنا نشوف المنحنى
+
+319
+00:33:09,760 --> 00:33:14,040
+متمثل بالنسبة لمحور x ولا لأ تبقى بنروح أشيل theta
+
+320
+00:33:14,040 --> 00:33:20,780
+وأحط مكانها سالب theta يبقى أربعة جيب اثنين في
+
+321
+00:33:20,780 --> 00:33:27,260
+سالب theta يبقى هذه أربعة جيب لسالب اثنين theta
+
+322
+00:33:29,710 --> 00:33:36,150
+يبقى السالب برا يبقى السالب أربعة جيب اثنين ثيتا
+
+323
+00:33:36,150 --> 00:33:43,070
+يعني سالب R تربيع يعني ما سواتش R تربيع يبقى لا
+
+324
+00:33:43,070 --> 00:33:50,070
+تساوي R تربيع إذا ما قدرش أقول في تمثل والله ما فيش
+
+325
+00:33:50,070 --> 00:33:54,070
+بده أروح أجيب النقطة المكافئة لها يبقى بده أشيل كل
+
+326
+00:33:54,070 --> 00:33:59,290
+theta وأحط مكانها باي ناقص theta يبقى بده أخد
+
+327
+00:33:59,290 --> 00:34:05,870
+الآن أربعة جيب اثنين في باي ناقص theta شيلنا theta
+
+328
+00:34:05,870 --> 00:34:11,010
+تبع الملحنة وأحط هنا مكانها باي ناقص theta يبقى
+
+329
+00:34:11,010 --> 00:34:17,340
+أربعة جيب اثنين باي ناقص اثنين theta هذا هو مقدار
+
+330
+00:34:17,340 --> 00:34:22,620
+الوقت لجيب يبقى اثنين باي مقدار الوقت يبقى
+
+331
+00:34:22,620 --> 00:34:28,880
+اثنين باي مقدار الوقت يبقى اثنين باي مقدار الوقت
+
+332
+00:34:28,880 --> 00:34:32,020
+يبقى اثنين باي مقدار الوقت يبقى اثنين باي مقدار
+
+333
+00:34:32,020 --> 00:34:38,700
+الوقت الـSin هذا يؤدي يبقى سالب برا يبقى يساوي سالب
+
+334
+00:34:38,700 --> 00:34:46,740
+أربعة سين اثنين ثيتا يبقى هذا سالب R تربيع سؤالي
+
+335
+00:34:46,740 --> 00:34:55,760
+هو إذا متمثل بالنسبة لمحور Y بالنسبة
+
+336
+00:34:55,760 --> 00:34:59,140
+لمحور X ماتش بالنسبة لمحور X اه متمثل بالنسبة
+
+337
+00:34:59,140 --> 00:34:59,940
+لمحور X
+
+338
+00:35:09,730 --> 00:35:17,850
+إبراهيم الباكي يدعي أو يزعم أن هو يزعم تحت مال
+
+339
+00:35:17,850 --> 00:35:23,150
+الوردة الشغلطية من الزعم اللي هو أبصر ومن الزعم
+
+340
+00:35:23,150 --> 00:35:28,940
+يعني من الضمانة وأنا به زعيم طبعا واللي ما فقر صواع
+
+341
+00:35:28,940 --> 00:35:33,460
+الملك في قصة سيدنا يوسف قال اللي بيجيب صواع الملك
+
+342
+00:35:33,460 --> 00:35:38,820
+إيه له حمل بعير زيادة وأنا كفيل بالكلام هذا طبعا بس
+
+343
+00:35:38,820 --> 00:35:43,710
+كلامه مش صحيح مش صحيح ليش؟ لأن احنا لما نقول إذا
+
+344
+00:35:43,710 --> 00:35:48,470
+شيلت تيتا وحطيت مكانها باي ناقص تيتا، بدي يطلع ناقص
+
+345
+00:35:48,470 --> 00:35:55,350
+R يعني احنا مشان يطلع كلامنا صحيحة، هذا لا يساوي
+
+346
+00:35:55,350 --> 00:36:02,020
+سالب R الكل تربيع يعني أنت بدي يجي مكان الـR سالب
+
+347
+00:36:02,020 --> 00:36:07,020
+R مظبوط لكن احنا اجت السالب قبل الـR يبقى هدول
+
+348
+00:36:07,020 --> 00:36:12,420
+بيسووش بعض وبالتالي no symmetry about the x axis
+
+349
+00:36:12,420 --> 00:36:24,060
+يبقى بروح بقوله هنا no symmetry about the x axis
+
+350
+00:36:24,060 --> 00:36:29,870
+ماعنديش تماثل حول محور x لو رجعت للكلام النظري اللي
+
+351
+00:36:29,870 --> 00:36:35,870
+كتبناه المرة الماضية بنروح نشيل theta ونحط مكانها
+
+352
+00:36:35,870 --> 00:36:39,750
+ناقص theta طلعت نفس المعادلة بقول theta مثل ما
+
+353
+00:36:39,750 --> 00:36:44,710
+طلعتش بنروح ندور على النقطة المكافئة لها حقنا هنا
+
+354
+00:36:44,710 --> 00:36:52,090
+ناقصتها ما طلعتش روحنا جيبنا من باي أربعة باي ناقصها
+
+355
+00:36:52,090 --> 00:36:57,910
+الأصل هنا يطلع سالب R مع الزاوية هذه تمام
+
+356
+00:36:57,910 --> 00:37:03,530
+احنا طلع ان هنا ليس سالب R الكل تربيع وإنما طلعت
+
+357
+00:37:03,530 --> 00:37:07,750
+سالب لحالها والـR تربيع لحالها هدول بيساويش بعض
+
+358
+00:37:07,750 --> 00:37:14,800
+وبالتالي أصبح أن المنحنى غير متمثل بالنسبة لمحور
+
+359
+00:37:14,800 --> 00:37:19,840
+X طيب نجي النقطة الثانية بنشوف التمثل بالنسبة
+
+360
+00:37:19,840 --> 00:37:28,100
+لمحور Y يبقى بدي أخد الأن أربعة جيب اثنين ل باي
+
+361
+00:37:28,100 --> 00:37:35,170
+ناقص theta مش هي اللي فوق هذه صح ولا لا؟ يبقى هذه
+
+362
+00:37:35,170 --> 00:37:41,950
+بدأت ساوي سالب R تربيع from above بديش أروح عيدها
+
+363
+00:37:41,950 --> 00:37:48,630
+تاني طيب هذا الأصل يطلع مين؟ R تربيع لو كان هناك
+
+364
+00:37:48,630 --> 00:37:56,980
+تماثل يبقى هذا لا يساوي R تربيع معناه مش مبين فيه
+
+365
+00:37:56,980 --> 00:38:00,460
+symmetry بس بدنا نأكد بدنا نروح على النقطة
+
+366
+00:38:00,460 --> 00:38:08,220
+المكافئة لها بقول بط ولكن أربعة جيب اثنين لسالب
+
+367
+00:38:08,220 --> 00:38:13,120
+ثيتا بنحط جيب النقطة المكافئة لهو بده يطلع الجواب
+
+368
+00:38:13,210 --> 00:38:18,870
+بدلالة سالب R بقول أن هذا الكلام يسوي سالب أربعة
+
+369
+00:38:18,870 --> 00:38:26,690
+جيب اثنين ثيتا يعني سالب R تربيع ولا يسوي كذلك
+
+370
+00:38:26,690 --> 00:38:33,290
+سالب R لكل تربيع إذا من الاثنين هذول بستنتج أنه
+
+371
+00:38:33,290 --> 00:38:40,910
+لا يوجد symmetry بالنسبة لمن؟ كويس يبقى الناس
+
+372
+00:38:40,910 --> 00:38:42,070
+symmetry
+
+373
+00:38:44,230 --> 00:38:54,010
+About مين؟ الـY Axis بعوض الله طيب، النمرة تلاتة،
+
+374
+00:38:54,010 --> 00:38:59,830
+بدنا نمثل بالنسبة لنقطة الأصل، يبقى بدنا نشيل R
+
+375
+00:38:59,830 --> 00:39:04,650
+وأحط مكانها ناقصها رأينا، طلعت نفس المعادلة، بنقول 
+
+376
+00:39:04,650 --> 00:39:08,550
+فيه تمثل، ما كانش، بدنا نروح ونجيب النقطة المكافئة
+
+377
+00:39:08,550 --> 00:39:15,650
+لها، يبقى أنا بدي أشيل R وأحط مكانها سالب R إيش 
+
+378
+00:39:15,650 --> 00:39:22,150
+طالع عندي؟ R تربيع نفسها اللي هي مين؟ اللي هي اللي
+
+379
+00:39:22,150 --> 00:39:30,970
+عندنا أربع ساين 2θ يبقى هنا the graph is
+
+380
+00:39:30,970 --> 00:39:36,430
+symmetric about
+
+381
+00:39:36,430 --> 00:39:38,270
+مين؟
+
+382
+00:39:40,620 --> 00:39:46,400
+يبقى فيه تمثل بالنسبة لنقطة الأصل يبقى خلاص بحثنا
+
+383
+00:39:46,400 --> 00:39:53,220
+السيمتري مش ضايل إلا نعمل الجدول ومن الجدول نروح
+
+384
+00:39:53,220 --> 00:39:57,060
+نرسم يبقى
+
+385
+00:39:57,060 --> 00:40:08,130
+هذا θ وهنا R ما بعرفش أحط R ولا R تربيع، بحط R صح R
+
+386
+00:40:08,130 --> 00:40:11,270
+وليس R تربيع لأنهم يقولون نقبة دائماً في ال polar
+
+387
+00:40:11,270 --> 00:40:17,770
+هي R و θ وليست R تربيع و θ يبقى احنا بدنا R
+
+388
+00:40:17,770 --> 00:40:22,990
+معناته بدنا نروح ناخد الجذر التربيعي للمقدار
+
+389
+00:40:22,990 --> 00:40:27,390
+اللي عندنا لو زائد أو ناقص 2 الجذر التربيعي اللي
+
+390
+00:40:27,390 --> 00:40:34,510
+بيساوي 2θ بهذا الشكل، أظن الشغلة انتهينا
+
+391
+00:40:34,510 --> 00:40:35,410
+منها برضه
+
+392
+00:40:50,560 --> 00:40:56,200
+لاحظ المرة هذه أنا عملت أحل السؤال بدلالة الـSin
+
+393
+00:40:56,200 --> 00:41:00,060
+وليس بدلالة الـCos لأن السؤال اللي جابله حليناه
+
+394
+00:41:00,060 --> 00:41:03,280
+بدلالة الـCos إذا نشوف الـsymmetry كيف بيصير فيه
+
+395
+00:41:03,930 --> 00:41:10,590
+طيب، بدأ أخد θ تساوي 0، ساين 0 بقد إيش؟ بـ 0،
+
+396
+00:41:10,590 --> 00:41:15,450
+يبقى بدنا نبدأ من نقطة الأصل، بعد هيك، لو قلت لك
+
+397
+00:41:15,450 --> 00:41:21,470
+مثلاً 15 درجة، طب ليش 15، ما تمشي 30 زي
+
+398
+00:41:21,470 --> 00:41:26,410
+قبل، لأن هذه مضروبة في 2، ولو كانت ساين 3 
+
+399
+00:41:26,410 --> 00:41:30,570
+θ ببدأ بـ 10 درجات يبقى أنا ببدأ حسب الزاوية
+
+400
+00:41:30,570 --> 00:41:35,250
+اللي عندي لأن 15 × 2 بـ 30، جا 30
+
+401
+00:41:35,250 --> 00:41:40,450
+بـ 1/2 تحت الجذر يبقى 2 × 1/√2
+
+402
+00:41:40,450 --> 00:41:45,030
+اضرب في √2/√2 بظل بس قد إيش √2
+
+403
+00:41:45,030 --> 00:41:50,270
+هو 1.4 يبقى زائد أو
+
+404
+00:41:50,270 --> 00:41:55,680
+ناقص 1.4 يبقى حتى أنا يا شباب
+
+405
+00:41:55,680 --> 00:42:03,420
+أنا جبت كم نقطة؟ 3، 3 زائد وناقص يبقى جبت
+
+406
+00:42:03,420 --> 00:42:08,720
+3 نقاط على المنحنى، طيب بعد الـ 15 لو قلت
+
+407
+00:42:08,720 --> 00:42:16,160
+مثلاً 30، ها 30 × 2 بـ 60، جا الـ 60 في
+
+408
+00:42:16,160 --> 00:42:21,300
+الجذر الـ 3/2 تحت الجذر، جذر جذر
+
+409
+00:42:21,300 --> 00:42:25,400
+الـ 3 يعني أنت بتشغل الـ calculator لكن إيش رأيك؟
+
+410
+00:42:25,400 --> 00:42:29,520
+بلها الـ 30، خش على الـ 45، شو بيصير
+
+411
+00:42:29,520 --> 00:42:36,700
+يعني؟ 45 × 2، جا 90، يبقى بيصير
+
+412
+00:42:36,700 --> 00:42:41,060
+زائد أو ناقص 2، ما عندناش calculator، زائد أو 
+
+413
+00:42:41,060 --> 00:42:45,180
+ناقص 2، والفرقات بسيطة، مش كثير، 1.4
+
+414
+00:42:45,180 --> 00:42:49,230
+و 1.4، 2 قيمات على بعض يبقى دي حتى لو جبت مش
+
+415
+00:42:49,230 --> 00:42:53,130
+هتأثر عندي ولو إني بعدت شوية، طب الـ 45
+
+416
+00:42:53,130 --> 00:42:58,510
+لو روحنا للـ 60 نفس المشكلة، 120 وجا الـ 120 و
+
+417
+00:42:58,510 --> 00:43:02,390
+20 وجا الـ 60 نفس القصة يبقى روح على الـ 45 و
+
+418
+00:43:02,390 --> 00:43:07,730
+70 دوري يبقى لو روحنا على الـ 75 درجة
+
+419
+00:43:09,840 --> 00:43:14,040
+75 × 2، 150، جا الـ 150 
+
+420
+00:43:14,040 --> 00:43:19,900
+و 50، وجا الـ 30، جا الـ 30 يساوي 1/2 يبقى
+
+421
+00:43:19,900 --> 00:43:25,080
+نفس القصة، هذه 1.4، يبقى زائد أو
+
+422
+00:43:25,080 --> 00:43:30,800
+ناقص، 1.4، بعدها بنجي 90 أو باي
+
+423
+00:43:30,800 --> 00:43:34,560
+على 90 × 2 بـ 180، جا الـ 180 
+
+424
+00:43:34,560 --> 00:43:40,140
+بـ 0 يبقى رجعنا للـ 0 يبقى مش ضايل إلا
+
+425
+00:43:40,140 --> 00:43:46,360
+الروح نرسم يبقى هذا θ تساوي 0 وهذا θ
+
+426
+00:43:46,360 --> 00:43:53,300
+تساوي π/2 يبقى دول طبعاً زي دو نقل زي 0
+
+427
+00:43:53,300 --> 00:43:58,430
+بتوريك إياها يبقى هاي نقطة هاي نقطة هدول الـ 6
+
+428
+00:43:58,430 --> 00:44:04,670
+يبقى 8 نقاط فبتاع نرسم الـ N00 بدنا نبدأ من
+
+429
+00:44:04,670 --> 00:44:10,430
+وين؟ من نقطة الأصل، بعدها بنرسم 15 درجة وناخد
+
+430
+00:44:10,430 --> 00:44:14,030
+طول 1.4 ومن ناحية الثانية سالب
+
+431
+00:44:14,030 --> 00:44:19,670
+1.4، 15 درجة تقريباً هكذا
+
+432
+00:44:22,330 --> 00:44:28,250
+يبقى هذه 15 درجة بناخد عليها طول 1.4 من
+
+433
+00:44:28,250 --> 00:44:36,010
+10 يبقى هذه إيه لـ 1 مثلاً 1.4 في في
+
+434
+00:44:36,010 --> 00:44:40,190
+الناحية الثانية زي ما هذه بدك تروح تمد الخط هذا
+
+435
+00:44:40,190 --> 00:44:43,070
+على استقامته بالشكل اللي عندنا هذا
+
+436
+00:44:59,880 --> 00:45:08,500
+يبقى هذه شغلة تقريبية يبقى هذه 15 درجة وهي
+
+437
+00:45:08,500 --> 00:45:13,440
+هنا 1.4 وهنا 1.4
+
+438
+00:45:13,440 --> 00:45:18,590
+بالثالث، بعد ذلك سنصل إلى 45 درجة الخط
+
+439
+00:45:18,590 --> 00:45:20,070
+بنصف الزاوية
+
+440
+00:45:28,220 --> 00:45:34,580
+بتاخد عليه طول 2 وسالب 2 يبقى هذا 2
+
+441
+00:45:34,580 --> 00:45:39,800
+وهذا مين اللي هو سالب 2 بالشكل اللي عندنا هذا
+
+442
+00:45:39,800 --> 00:45:46,880
+بعدين 75 درجة يبقى 75 درجة خط
+
+443
+00:45:46,880 --> 00:45:52,250
+اللي عندنا هذا يبقى هذا 75 درجة بدي أخذ
+
+444
+00:45:52,250 --> 00:45:57,950
+عليه طول 1.4 يبقى رجعنا لنفس
+
+445
+00:45:57,950 --> 00:46:04,510
+القصة هذه ومن هنا نفسها بعدها رجعنا لمن؟ للـ zero
+
+446
+00:46:04,510 --> 00:46:10,790
+يبقى بدنا نروح نرسم الشكل اللي وصل له يبقى منحنى قوس
+
+447
+00:46:10,790 --> 00:46:17,430
+بالشكل هذا هيك ورجع ثاني هيك ومن الناحية الثانية
+
+448
+00:46:17,430 --> 00:46:21,370
+هذه كمان أجهة هيك ورجع هيك
+
+449
+00:46:26,450 --> 00:46:32,010
+تمام؟ يبقى هذا رسمة المنحنى الأول اللي هو R تربيع
+
+450
+00:46:32,010 --> 00:46:38,550
+تساوي 4 ساين 2θ، طب لو روحنا رسمنا لو
+
+451
+00:46:38,550 --> 00:46:44,790
+سألتك أنا وقلت لك لو رسمنا هذا في الأول، عارف لو 
+
+452
+00:46:44,790 --> 00:46:49,950
+رسمنا هذا في الأول شكلها الشكل التالي، هذا θ
+
+453
+00:46:49,950 --> 00:46:57,540
+تساوي 0 وهذا θ تساوي π يبقى المنحنى هيجيك 
+
+454
+00:46:57,540 --> 00:47:03,760
+بالشكل هذا هيك قوس هيك والتاني من الناحية الثانية
+
+455
+00:47:03,760 --> 00:47:12,180
+هذا هيك، هذا اللي هو R تساوي أو R تربيع تساوي 4
+
+456
+00:47:12,180 --> 00:47:18,560
+كو ساين 2θ، السؤال اللي كنت بدي أسأله لو رسمت
+
+457
+00:47:18,560 --> 00:47:25,390
+هذا المنحنى في الأول وجيت سألتك وقولت لك، بعد هذا
+
+458
+00:47:25,390 --> 00:47:28,970
+سنقوم برسم المنحنى، هذا لن يأتي في بالك، لكنك
+
+459
+00:47:28,970 --> 00:47:33,290
+ستقول لي علامة ورواية، مظبوط؟ يبقى الشغل ليس
+
+460
+00:47:33,290 --> 00:47:38,910
+التحذير، وإنما تريد استخدام معلومات كاملة، تمام؟
+
+461
+00:47:38,910 --> 00:47:43,910
+يبقى ده احنا غششناه كرسمة، الثانية يجب أن تعملها
+
+462
+00:47:43,910 --> 00:47:48,210
+جدول وسيمتري وطبعاً كو ساين هذه، وزي ما أنت شايف
+
+463
+00:47:48,800 --> 00:47:53,980
+متمثلة بالنسبة لمحور X ومتمثلة بالنسبة لمحور Y
+
+464
+00:47:53,980 --> 00:47:59,640
+ومتمثلة بالنسبة للـ Origin، هذه لا يوجد تماثل إلا 
+
+465
+00:47:59,640 --> 00:48:04,060
+بالنسبة للـ Origin، هذه على اليمين وما فيش واحد
+
+466
+00:48:04,060 --> 00:48:07,400
+أجبالها على الشمال، هذا الجزء على الشمال وما فيش
+
+467
+00:48:07,400 --> 00:48:10,080
+واحد أجباله على اليمين، لا يوجد أي سيمتري في
+
+468
+00:48:10,080 --> 00:48:14,780
+الواقع Y طلع هذا، نوفقي، هذه فوق وما فيش أجبالها
+
+469
+00:48:14,780 --> 00:48:18,810
+واحدة تحت، وهذه تحت وما فيش واحد أجبالها فوق يبقى no
+
+470
+00:48:18,810 --> 00:48:23,710
+symmetry about the x-axis يبقى مضل علشان دي إلا
+
+471
+00:48:23,710 --> 00:48:30,890
+تمثل حوالي الـ 100 حالياً الـ origin، نعطي كمان مثال
+
+472
+00:48:30,890 --> 00:48:40,950
+هذا مثال 4 4
+
+473
+00:48:40,950 --> 00:48:50,660
+بيقول للمرة A R تساوي 4 كو ساين 2θ ونمر B
+
+474
+00:48:50,660 --> 00:49:01,140
+R تساوي 4 ساين 2θ ونمر C R
+
+475
+00:49:01,140 --> 00:49:10,640
+تساوي كو ساين 3θ ونمر D R تساوي ساين 3
+
+476
+00:49:10,640 --> 00:49:19,660
+θ خلّيني أعطيك سلوشي السيمتري
+
+477
+00:49:19,660 --> 00:49:29,720
+سيكون مجرد تجارب لك سيمتري، هذا مجرد تجارب هنا طبعاً
+
+478
+00:49:29,720 --> 00:49:34,960
+متمثل بالنسبة لـ X متمثل بالنسبة لـ Y متمثل بالنسبة
+
+479
+00:49:34,960 --> 00:49:38,980
+لنقطة الأصل، إذا ما عنديش مشكلة فيه خالص بالمرة بدنا
+
+480
+00:49:38,980 --> 00:49:42,920
+نروح نعمل جدول، طبعاً أنا بحكي لنفسي بلى نمرى A
+
+481
+00:49:42,920 --> 00:49:46,820
+يبقى لو روحنا عملنا الجدول بدي أخد الجدول الشكل
+
+482
+00:49:46,820 --> 00:49:47,520
+التالي
+
+483
+00:49:50,860 --> 00:49:57,560
+هنا θ وهنا R تساوي 4 كو ساين 2θ، دوري
+
+484
+00:49:57,560 --> 00:50:03,600
+مباشرة يبقى بالـ 0 ياخد 0، كو ساين 0 يبقى 0
+
+485
+00:50:03,600 --> 00:50:09,580
+بـ 1 يبقى الطول يساوي 4، لو جيت أخد 15
+
+486
+00:50:09,580 --> 00:50:15,160
+درجة، إيش 15 درجة × 2 بـ 30، جا 30
+
+487
+00:50:15,160 --> 00:50:20,400
+جذر 3/2 يبقى 2 جذر 3 اللي هو
+
+488
+00:50:20,400 --> 00:50:26,220
+3.4، بعد الـ 15 لو أخد
+
+489
+00:50:26,220 --> 00:50:34,460
+30 × 2 بـ 60، جتا 60 بـ 1/2 كده؟ بـ 2
+
+490
+00:50:34,460 --> 00:50:41,780
+بعد لو أخد 45 درجة بيطلع كده؟ 0، 45
+
+491
+00:50:41,780 --> 00:50:46,810
+× 2 بـ 90 اللي هو مين؟ بـ 0 بالشكل
+
+492
+00:50:46,810 --> 00:50:51,950
+اللي عندنا هذا، بعد الـ 45 لو أخدت الـ 60
+
+493
+00:50:51,950 --> 00:50:58,470
+75، 90 وخلصنا من الشغل هذه، طيب 60 ×
+
+494
+00:50:58,470 --> 00:51:05,490
+2 بـ 120، جا 60، جتا 60 بسالب 
+
+495
+00:51:05,490 --> 00:51:11,510
+1/2 يبقى سالب 2، لو كملت بظل سالب 3.4
+
+496
+00:51:11,510 --> 00:51:18,250
+من 10 وهنا سالب 4، خلّي بالك كويس يبقى بدي امسح
+
+497
+00:51:18,250 --> 00:51:30,110
+بس الجزء هذا مشان نرسم الرسم بشكل أكبر يبقى
+
+498
+00:51:30,110 --> 00:51:36,570
+الرسم هتاخد الشكل التالي، هذا θ تساوي 0 وهذا
+
+499
+00:51:36,570 --> 00:51:41,210
+θ تساوي π/2، النقطة الأولى 0
+
+500
+00:51:41,210 --> 00:51:48,380
+4، بدأ تبدأ من هنا، كمل الجدول، الجدول هتلاقي 
+
+501
+00:51:48,380 --> 00:51:56,400
+أجالك هيك تمام؟ وبعد هيك أجى ووقف هيك هذا كل
+
+502
+00:51:56,400 --> 00:52:02,940
+جدولنا طلع خمسة عشر درجة هي خمسة عشر درجة قد إيش
+
+503
+00:52:02,940 --> 00:52:06,760
+خدنا عليها طول ثلاثة صحيح وأربعة من عشرة لأن هذه
+
+504
+00:52:06,760 --> 00:52:14,390
+كانت أربعة وزيرو وبعدها ثلاثين درجة كبرناها شوية
+
+505
+00:52:14,390 --> 00:52:19,730
+ثلاثين درجة صار عندها هذه بعد الثلاثين خمسة
+
+506
+00:52:19,730 --> 00:52:25,170
+وأربعين رجعنا ووصلنا للنقطة هذه بعد الخمسة والأربعين
+
+507
+00:52:25,170 --> 00:52:31,870
+ستين درجة يبقى هذه الستين درجة أخدنا في الخلف سالب
+
+508
+00:52:31,870 --> 00:52:38,980
+باتنين يبقى لو مدناه على استقامته بدي أجيك هيك و
+
+509
+00:52:38,980 --> 00:52:43,780
+بدي أجيك سالب اثنين أما بعده سالب ثلاثة صحيح
+
+510
+00:52:43,780 --> 00:52:49,780
+أربعة من عشرة اللي بعده سالب أربعة هذه رسمناه الآن
+
+511
+00:52:49,780 --> 00:52:54,360
+في تمثل بالنسبة لـ X تمثل بالنسبة لـ Y تمثل بالنسبة
+
+512
+00:52:54,360 --> 00:52:59,520
+لنقطة الأصل تمثل بالنسبة لـ X يبقى هذا بدي يظهر جوز
+
+513
+00:52:59,520 --> 00:53:07,150
+زيّه جوز زيّه الشكل هنا تمثل بالنسبة لـ X يبقى جهد الجثة
+
+514
+00:53:07,150 --> 00:53:13,640
+بده يظهر كمان جثة ثانية زيّه وهيك الآن في تمثل
+
+515
+00:53:13,640 --> 00:53:18,820
+بالنسبة لـ Y يبقى هذا تمثل بالنسبة لـ Y معناته هذا
+
+516
+00:53:18,820 --> 00:53:25,120
+جوز بده يظهر زيّه وهذا جوز بده يظهر زيّه والورقة
+
+517
+00:53:25,120 --> 00:53:29,580
+اللي على اليمين بده يظهر زيّها وورقة على الشمال
+
+518
+00:53:29,580 --> 00:53:35,980
+يبقى منحنى الوردة دول أربع ورقات يبقى هذا اسمه
+
+519
+00:53:35,980 --> 00:53:45,020
+four petals rose منحنى الزهرة دول أربع ورقات طيب لو
+
+520
+00:53:45,020 --> 00:53:51,700
+جئنا رسمنا المنحنى الثاني اللي هو sin 2θ يبقى بدي
+
+521
+00:53:51,700 --> 00:53:57,900
+يكون شكله بالشكل هذا هذا θ تساوي zero وهذا θ
+
+522
+00:53:57,900 --> 00:54:05,490
+تساوي π على اثنين هذا θ تساوي π على أربعة
+
+523
+00:54:05,490 --> 00:54:12,250
+ومن الناحية هذه θ تساوي ثلاثة π على أربعة طلع
+
+524
+00:54:12,250 --> 00:54:18,070
+على الرسم شيء بدي يكون يبقى هذا ورقة وهذه ورقة
+
+525
+00:54:18,070 --> 00:54:24,930
+ثانية وهذه الثالثة وهذه الرابعة أقول لك زخرفة اليوم
+
+526
+00:54:24,930 --> 00:54:32,110
+عندك تمام؟ طيب، لاحظ، تماثل بالنسبة لـ X، تماثل
+
+527
+00:54:32,110 --> 00:54:36,710
+بالنسبة لـ Y، تماثل كذلك بالنسبة للـ origin. هذه
+
+528
+00:54:36,710 --> 00:54:45,060
+نمرة B، نمرة C، نمرة C هي المحاولة هي θ تساوي zero و
+
+529
+00:54:45,060 --> 00:54:52,360
+θ تساوي π على اثنين فالعلي كوساين يبقى فيه تمثل
+
+530
+00:54:52,360 --> 00:54:57,240
+بالنسبة لمحور وركز يبقى هذه ورقة ويتيجي لك ورقة
+
+531
+00:54:57,240 --> 00:55:04,260
+ثانية هنا و ورقة ثالثة هنا آخر حاجة نمرة D نمرة D
+
+532
+00:55:04,260 --> 00:55:13,490
+يبقى هذه ورقة هيك وهذه ورقة هيك وهذه هيك وهذه هيك
+
+533
+00:55:13,490 --> 00:55:20,130
+طبعا هنا تمثل فقط بالنسبة لـ Y هنا تمثل فقط بالنسبة
+
+534
+00:55:20,130 --> 00:55:26,970
+لـ X طيب هذه نمرة C وهذه نمرة D الملاحظة الأخيرة
+
+535
+00:55:26,970 --> 00:55:30,670
+اللي بدي أقولها وأطلعوا فيها كويس لما كان عندي
+
+536
+00:55:30,670 --> 00:55:37,780
+Sin 2θ أو Cos 2θ بقي عندي كم ورقة؟ أربع ورقات يعني
+
+537
+00:55:37,780 --> 00:55:41,200
+لو كان cosine 4θ أو cosine 4θ بدي
+
+538
+00:55:41,200 --> 00:55:45,700
+يطلع عندي قد إيش؟ ثمان ورقات يعني إذا الرقم اللي
+
+539
+00:55:45,700 --> 00:55:51,220
+مضروب في θ رقما زوجيا فعدد الورقات مضاعفة هذا
+
+540
+00:55:51,220 --> 00:55:55,750
+الرقم أما إن كان فردي ثلاثة خمسة سبعة تسعة أحداث
+
+541
+00:55:55,750 --> 00:56:00,490
+فعدد الورقات يساوي عدد الرقم الفردي اللي موجود
+
+542
+00:56:00,490 --> 00:56:04,890
+عندنا لحد هنا انتهى الـ section وعليكم أرقام
+
+543
+00:56:04,890 --> 00:56:14,930
+المسائل اللي هو exercises أحد عشر أربعة المسائل
+
+544
+00:56:14,930 --> 00:56:20,770
+التالية من واحد لخمسة وعشرين الأد
+
+545
+00:56:25,040 --> 00:56:27,680
+المرة الجاية إن شاء الله بنبدأ الـ section الجديد
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c53b80917455efba63c177f0f7e8a5b080203595
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk_postprocess.srt
@@ -0,0 +1,2180 @@
+1
+00:00:09,080 --> 00:00:15,340
+بسم الله الرحمن الرحيم المرة الماضية بدأنا في
+
+2
+00:00:15,340 --> 00:00:21,380
+section geographical in polar coordinates الرسم في
+
+3
+00:00:21,380 --> 00:00:26,700
+الإحداثيات القطبيةوقلنا في نقطتين نظري النقطة
+
+4
+00:00:26,700 --> 00:00:30,120
+الأولى دراسة اللي هي ال symmetry التماثل بالنسبة
+
+5
+00:00:30,120 --> 00:00:35,280
+للمحاور والنقطة التانية هي الاسلوب تبع الملحنة
+
+6
+00:00:35,280 --> 00:00:39,760
+يبقى قولنا ال symmetry هذا هو استبدال لمين
+
+7
+00:00:39,760 --> 00:00:43,260
+للمعلومات اللي كنا ناخدها في calculus Aعلى الـ
+
+8
+00:00:43,260 --> 00:00:46,260
+Cartesian coordinates الـ local maximum و ال local
+
+9
+00:00:46,260 --> 00:00:49,400
+minimum و ال concave up و ال concave down و ال
+
+10
+00:00:49,400 --> 00:00:53,700
+inflection poles هذا كله هنستبدله بمين بالسمتري
+
+11
+00:00:53,700 --> 00:00:59,700
+عندنا في الرسم الأول مثال من ناحية الرسم بيقول
+
+12
+00:00:59,700 --> 00:01:04,410
+sketch the graph of the curveبارتساوة اتنين زاد
+
+13
+00:01:04,410 --> 00:01:10,070
+اربعة كوساين ثيتا هذا المنحنى منسمي منحنى اللمسن
+
+14
+00:01:10,070 --> 00:01:15,430
+وال inner lob يعني بعروة داخلية inner lob عروة
+
+15
+00:01:15,430 --> 00:01:20,590
+داخلية طب نشوف كيف بدنا نرسمها مش هنرسمها ده نروح
+
+16
+00:01:20,590 --> 00:01:26,050
+نبحث ال symmetryيبقى أول شغلة بدي أجي أخد ال
+
+17
+00:01:26,050 --> 00:01:32,030
+symmetry تبع هذا الملحنة يبقى بدنا نبحث ال
+
+18
+00:01:32,030 --> 00:01:39,380
+symmetryتمام؟ بدأجي للنقطة الأولى المنحنى بدأ أفحص
+
+19
+00:01:39,380 --> 00:01:44,080
+هل هو متمثل بالنسبة لمحور X ولا لأ كتبنا المرة
+
+20
+00:01:44,080 --> 00:01:48,320
+الماضية بشأن نشوفه متمثل بالنسبة لمحور X بدنا نشيل
+
+21
+00:01:48,320 --> 00:01:54,160
+كل ثيتا ونحط مكانها سالب ثيتا يبقى بدأجي للمنحنى
+
+22
+00:01:54,160 --> 00:02:00,840
+اتنين زائد اربعة كوساين لسالب ثيتا ال cosine
+
+23
+00:02:00,840 --> 00:02:06,290
+function even ولا odd؟even يبقى cosine لسالب ثيتا
+
+24
+00:02:06,290 --> 00:02:14,370
+هو cosine ثيتا يبقى يساوي اتنين اتنين زائد اربعة
+
+25
+00:02:14,370 --> 00:02:20,010
+في cosine الزاوية ثيتا طب هذا مش هو المنحنى الأصلي
+
+26
+00:02:20,010 --> 00:02:24,790
+اللي فوق يبقى نفس المنحنى الأصلي يبقى معنى هذا
+
+27
+00:02:24,790 --> 00:02:30,190
+الكلام ان المنحنى هذا متماثل بالنسبة لمحور X يبقى
+
+28
+00:02:30,190 --> 00:02:32,090
+باجي بقوله هنا graph
+
+29
+00:02:35,200 --> 00:02:41,020
+اسمها symmetric about
+
+30
+00:02:42,900 --> 00:02:49,240
+هذا X Axis الملحنة متمثل بالنسبة لمحور X يعني لما
+
+31
+00:02:49,240 --> 00:02:53,560
+نرسم النصب اللي أعلى محور X بيكون زي النصب اللي
+
+32
+00:02:53,560 --> 00:02:58,540
+أسفة لمحور X النقطة الثانية، بدنا نشوف هل هناك
+
+33
+00:02:58,540 --> 00:03:02,880
+تمثل بالنسبة لمحور Y ولا لأ، كده لما نشيل كل θيتا
+
+34
+00:03:02,880 --> 00:03:09,440
+ونحط مكانهاباي ناقص ثيتا يبقى اتنين زائد اربعة
+
+35
+00:03:09,440 --> 00:03:16,830
+كوصين لباي ناقص ثيتايبقى هذه تساوي اتنين زائد
+
+36
+00:03:16,830 --> 00:03:22,850
+اربعة فين هذه بيدفكها بوسطة حساب المثلثات يبقى
+
+37
+00:03:22,850 --> 00:03:30,190
+cosine by cosine theta زائد sine by sine theta
+
+38
+00:03:30,190 --> 00:03:35,370
+sine by ب zero cosine مية و تمانين بسالب واحد يبقى
+
+39
+00:03:35,370 --> 00:03:40,910
+صلة المثلة هي اتنين ناقص اربعة cosine الزاوية ثيتا
+
+40
+00:03:40,910 --> 00:03:48,960
+يبقى هل هذا اه؟يبقى لا تساوي R معناته ماعرفش يكون
+
+41
+00:03:48,960 --> 00:03:53,120
+فيه tomato لأ بدنا نروح نجيب النقطة المكافئة لها
+
+42
+00:03:53,570 --> 00:04:01,190
+يبقى النقطة المكافئة لها ها بدنا نضيف باي ونحط
+
+43
+00:04:01,190 --> 00:04:05,430
+الإشارة R بالسالب يصير عندى اتنين باي شيلناها يبقى
+
+44
+00:04:05,430 --> 00:04:10,890
+يقولنا ناقص R وناقص ثيتا لنبحث هل هي على المنحنى
+
+45
+00:04:10,890 --> 00:04:20,250
+ولا لأ يبقى بداشي اخد اتنين زائد اربع كوسايل سالب
+
+46
+00:04:20,250 --> 00:04:26,260
+ثيتالو في تماثل بالنسبة ل Y بدي اطلع الجواب سالب R
+
+47
+00:04:26,260 --> 00:04:33,660
+لكن هذه بدها تساوي قدرش 2 زائد 4 Cos θ يبقى هنا
+
+48
+00:04:33,660 --> 00:04:42,680
+تماثل بالنسبة لمحور Y فبروح بقوله No symmetry
+
+49
+00:04:42,680 --> 00:04:46,220
+about
+
+50
+00:04:46,220 --> 00:04:50,860
+the Y axis
+
+51
+00:04:53,560 --> 00:05:01,920
+طيب سؤال بيطرح نفسههل تتوقع أن يكون هناك تماثل
+
+52
+00:05:01,920 --> 00:05:07,140
+بالنسبة لنقطة الأصل؟ لأ طبعا. ليش؟ إنه كان هناك
+
+53
+00:05:07,140 --> 00:05:11,320
+تماثل بالنسبة لنقطة الأصل، أصبح عندي تماثلين. وإذا
+
+54
+00:05:11,320 --> 00:05:15,380
+عندي تماثلين، يبقى التماثل الثالث موجود. يبقى
+
+55
+00:05:15,380 --> 00:05:19,600
+خليني على مين؟ بس بدنا نروح نثبت صح هذا صمم أمان
+
+56
+00:05:19,600 --> 00:05:24,080
+بالنسبة لي، أبين إنه ماعنديش تماثل بالنسبة لنقطة
+
+57
+00:05:24,080 --> 00:05:28,210
+الأصل.يبقى النقطة الأولى بالنسبة لنقطة الاصل لو
+
+58
+00:05:28,210 --> 00:05:35,250
+شيلت ال R وحطيت مكانها سالب R بدي يطلع R itself
+
+59
+00:05:35,250 --> 00:05:42,290
+هيكل تمام يبقى هذه بدي بقول ناقص R بدي يساوي ناقص
+
+60
+00:05:42,290 --> 00:05:49,250
+اتنين ناقص اربعة كوسين الزاوية ثيتا وهذا لا يساوي
+
+61
+00:05:49,250 --> 00:05:57,580
+ال Rأنا بسويش ال R بتاتا طيب بيكفي؟ بيكفيش بقوله
+
+62
+00:05:57,580 --> 00:06:05,620
+ضبط ولكن اللي هو اتنين زائد اربعة cosine باي زائد
+
+63
+00:06:05,620 --> 00:06:11,000
+ثيتا بنروح نجيب النقطة المكافئة لها تماما وهي
+
+64
+00:06:11,000 --> 00:06:18,400
+تساوي اللي هو مين اتنين زائد اربعة في cosine باي
+
+65
+00:06:26,100 --> 00:06:37,260
+يبقى 0-1 يبقى 2-4 cos θ
+
+66
+00:06:45,010 --> 00:06:50,550
+لا يساوي هار يبقى معناته no symmetry about the
+
+67
+00:06:50,550 --> 00:06:51,070
+origin
+
+68
+00:07:04,340 --> 00:07:09,380
+ماعنديش تماثل بالنسبة لنقطة الأصل خلصنا يبقى بعتنا
+
+69
+00:07:09,380 --> 00:07:14,320
+ففحصنا التماثل يبقى لا يوجد عندي تماثل إلا بالنسبة
+
+70
+00:07:14,320 --> 00:07:19,580
+لمين لم محور X بعد هيك بناروح نعمل جدول وبعد ما
+
+71
+00:07:19,580 --> 00:07:24,280
+نعمل الجدول بنروح نرسم يبقى لو جينا عملنا جدول
+
+72
+00:07:24,280 --> 00:07:25,680
+بالشكل اللي عندنا هذا
+
+73
+00:07:30,140 --> 00:07:35,980
+أنا جيت و قلت هنا ثيتا وهنا R ر اللي هي عنا تساوي
+
+74
+00:07:35,980 --> 00:07:42,840
+اتنين زائد اربعة في كوصين الزاوية ثيتا و بدنا نبدأ
+
+75
+00:07:42,840 --> 00:07:51,060
+بين بالزاوية Zero كوصين صفر اربعة و اتنين ستة كويس
+
+76
+00:07:51,060 --> 00:07:56,680
+طيب بدنا نزيد لو جينا خدنا الزاوية مثلا تلاتين
+
+77
+00:07:56,680 --> 00:08:02,800
+درجةيبقى جتا تلاتين جدر تلاتة على اتنين يبقى وصير
+
+78
+00:08:02,800 --> 00:08:07,260
+اتنين جدر تلاتة جدر تلاتة بواحد وسبعة من عشرة يبقى
+
+79
+00:08:07,260 --> 00:08:13,200
+تلاتة صحيحة واربعة من عشرة زائد اتنين خمسة صحيحة
+
+80
+00:08:13,200 --> 00:08:22,640
+واربعة من عشرة لو جيت مثلا ستين درجة جتا ستين نص
+
+81
+00:08:22,640 --> 00:08:29,310
+في اربعة باتنين واتنين اربعةلو جت قلت تسعين درجة
+
+82
+00:08:29,310 --> 00:08:36,670
+تسعين في تسعين جت تسعين بصفر يبقى بصير اتنين بعدك
+
+83
+00:08:36,670 --> 00:08:43,730
+لو روحت قلت مية و عشرين درجة يبقى مية و عشرين درجة
+
+84
+00:08:43,730 --> 00:08:51,230
+جتها جت ستين بس بالثالث جت ستين بنص يبقى سالب نص
+
+85
+00:08:51,230 --> 00:08:59,330
+في أربعة سالب اتنين و اتنينبعد ذلك لو جيت عند ال
+
+86
+00:08:59,330 --> 00:09:08,350
+150 درجة هو هي عند ال 180 درجة، لو جيت جات ال 150
+
+87
+00:09:08,350 --> 00:09:14,000
+هي جات ال 30جتل تلاتين جذر تلاتة على اتنين بس
+
+88
+00:09:14,000 --> 00:09:22,160
+بالسالب يبقى اتنين ناقص اتنين جذر تلاتة يعني اتنين
+
+89
+00:09:22,160 --> 00:09:28,400
+ناقص تلاتة صحيح واربع من عشرة بيطلع سالب واحد صحيح
+
+90
+00:09:28,400 --> 00:09:33,320
+واربع من عشرة جتل مية وتمانين بسالب واحد يبقى
+
+91
+00:09:33,320 --> 00:09:40,770
+اتنين وسالب اربع ليه بمين بسالب اتنينالان بدنا
+
+92
+00:09:40,770 --> 00:09:48,010
+نروح للرسم و نشوف كيف بدنا نرسم هذا المنحنى يبقى
+
+93
+00:09:48,010 --> 00:09:54,230
+ماجي بقول هي المحاور هذا theta تساوي zero وهذا
+
+94
+00:09:54,230 --> 00:10:00,370
+theta تساوي pi على اتنين اللي هو تسعين درجة و بدنا
+
+95
+00:10:00,370 --> 00:10:06,260
+نرسملما كان فيتا تساوي زيرو كانت ارض تساوي جداش
+
+96
+00:10:06,260 --> 00:10:11,760
+تساوي ستة يبقى عندما فيتا تساوي زيرو بدي .. يعني
+
+97
+00:10:11,760 --> 00:10:17,180
+الخط فيتا تساوي زيرو بدي أخد طول عليه تساوي جداش
+
+98
+00:10:17,180 --> 00:10:23,540
+ستة يبقى هذه النقطة اليحداتي تبعها ستة وزيرو بعد
+
+99
+00:10:23,540 --> 00:10:28,440
+ذلك بدي أتي تلاتين درجة بدي أرسم الخط فيتا تساوي
+
+100
+00:10:28,440 --> 00:10:34,470
+تلاتين درجةبالشكل اللي عملنا هذا يبقى هذا الخط
+
+101
+00:10:34,470 --> 00:10:42,150
+اللي هو ستة تساوي تلاتين درجة تمام؟ على تلاتين
+
+102
+00:10:42,150 --> 00:10:46,690
+درجة بدي أجيس كده؟ خمسة وأربعة من عشرة يعني أقل من
+
+103
+00:10:46,690 --> 00:10:53,650
+ستة بشوية يبقى هذا خمسة وأربعة من عشرة بعد
+
+104
+00:10:53,650 --> 00:11:00,810
+التلاتين بدي أخد ستين درجة يبقى هذه ستين درجةستين
+
+105
+00:11:00,810 --> 00:11:06,470
+درجة بدي أخد عليها طول أربعة يعني أقل شوية يبقى
+
+106
+00:11:06,470 --> 00:11:13,430
+أقل شوية يبقى هذه تلاتين درجة هذه ستين درجة عند
+
+107
+00:11:13,430 --> 00:11:18,650
+التسعين درجة بدي أخد الطول اللي هو قداشر الإتنين
+
+108
+00:11:18,650 --> 00:11:25,530
+تمام عند المية وعشرين درجة يبقى هذه المية وعشرين
+
+109
+00:11:25,530 --> 00:11:33,760
+درجة هذهيكون الـ120 درجة بالشكل هذا يبقى ثيتا
+
+110
+00:11:33,760 --> 00:11:40,900
+تساوي 120 درجة بتاخد عليها طول جداش Zero يبقى
+
+111
+00:11:40,900 --> 00:11:49,420
+وقفنا على نقطة الأصل بعد ال 120 جينا ل 150 150
+
+112
+00:11:49,420 --> 00:11:56,200
+بالشكل هذا يبقى ثيتا تساوي 150 درجة بتاخد عليها
+
+113
+00:11:56,200 --> 00:12:01,200
+طول جداشيبقى السالب هي فوق المية وخمسة يبقى هاي
+
+114
+00:12:01,200 --> 00:12:07,000
+يجيس وين في الخلف يبقى سالب واحد واربعة من عشرة هي
+
+115
+00:12:07,000 --> 00:12:12,540
+سالب واحد واربعة من عشرة بعد المية و تمانين درجة
+
+116
+00:12:12,540 --> 00:12:17,620
+يبقى هذه المية و تمانين درجة يجيس عليها وين سالب
+
+117
+00:12:17,620 --> 00:12:24,310
+اتنين في الخلف يبقى هاي سالب اتنينالان بدي اوصل
+
+118
+00:12:24,310 --> 00:12:29,830
+بين هذه النقاط و بدي امشي براحة شوية شوية زي ما
+
+119
+00:12:29,830 --> 00:12:36,670
+كنت ماشي في الرسم و جينا هنا و رجعنا هنا كويس؟
+
+120
+00:12:36,670 --> 00:12:43,650
+يبقى هذا الملحنة اللي احنا ماشينا مع النقاط عليه
+
+121
+00:12:45,360 --> 00:12:49,940
+جالي هنا الملحنة متمثل بالنسبة لمحور X يعني الرسم
+
+122
+00:12:49,940 --> 00:12:55,560
+اللي فوق محور X تماما مثل الرسم اللي تحت محور X
+
+123
+00:12:55,560 --> 00:13:04,000
+هذا الأن أسفل محور X إذا بيظهر جزء زيها أعلى محور
+
+124
+00:13:04,000 --> 00:13:10,900
+X بهذا الشكل تمام الجوز اللي فوق بيظهر جوز تاني
+
+125
+00:13:10,900 --> 00:13:18,670
+زيه بهذا الشكلتمام؟ يبقى هذا الملحنة اللي هو
+
+126
+00:13:18,670 --> 00:13:23,150
+Limison with inner lob هى العروة الداخلية ظهرت
+
+127
+00:13:23,150 --> 00:13:28,010
+عندنا تمام؟ يبقى هذا اللى اسمه Limison with inner
+
+128
+00:13:28,010 --> 00:13:34,570
+lob آخر نقطة كانت النقطة هذه اللى سالب اتنين وبعيد
+
+129
+00:13:34,570 --> 00:13:40,730
+لأحدثيات النقطة اللى عندنا هذاطب ايش رايك؟ هذا
+
+130
+00:13:40,730 --> 00:13:47,810
+منحنى هطلق لك منه ستة عشر منحنى من المنحنى اللي
+
+131
+00:13:47,810 --> 00:13:54,310
+عندنا هنا من خلال ملاحظاتنا شوف يا سيدي الآن بروح
+
+132
+00:13:54,310 --> 00:14:00,890
+أعمم هذه الرسمة بدي أعممها كيف كالتالي بدي أخد
+
+133
+00:14:00,890 --> 00:14:07,790
+النقطة الأولىأحنا معدلتنا هذه كانت R على الشكل
+
+134
+00:14:07,790 --> 00:14:15,350
+التالي A وB بدي أخدهم أكبر من ال zero واندي A أقل
+
+135
+00:14:15,350 --> 00:14:25,110
+من B و ال A أقل من B و المنحنى كان R يساوي A زائد
+
+136
+00:14:25,110 --> 00:14:32,040
+B في cosine الزاويةهذا المنحنى هكذا هى ال A و هى
+
+137
+00:14:32,040 --> 00:14:37,100
+ال B تمام؟ زى ما تلاحظ ال A أقل من B اتنين أقل من
+
+138
+00:14:37,100 --> 00:14:41,500
+أربعة و ال A و ال B بالموجة بدنا نرسم المنحنى هذا
+
+139
+00:14:41,500 --> 00:14:49,080
+هذا المنحنى لو روحت رسمته هيأخد الشكل التالي Iθ
+
+140
+00:14:49,080 --> 00:14:54,340
+تساوي Zero و Iθ تساوي Pi على اتنين اللى همين
+
+141
+00:14:54,340 --> 00:14:58,750
+المنحنى اللى هناك اللى عندنايبقى بعد هيك، أيش ما
+
+142
+00:14:58,750 --> 00:15:04,770
+يكون الأرقام، اتنين، تلاتة، واحد، خمسة، جد ما يكون
+
+143
+00:15:04,770 --> 00:15:11,030
+الملحنة هيطلع شكله بالشكل هذا هيك تمام؟ والشكل
+
+144
+00:15:11,030 --> 00:15:16,720
+التاني هيك، وتجيلك العروة الداخلية بهذا الشكلهذا
+
+145
+00:15:16,720 --> 00:15:23,440
+الملحنة اللي هو R تساوي A زائد B في Cos الزاوية
+
+146
+00:15:23,440 --> 00:15:30,920
+ثيتا طيب لو حصل ان الزايد هذه صارت ناقص بكل بساطة
+
+147
+00:15:30,920 --> 00:15:35,990
+رسمة زي ما هي بيبتغلب وين؟جهة المحور السالب لثيتا
+
+148
+00:15:35,990 --> 00:15:40,950
+تساوي زيرو يعني جهة ثيتا تساوي باي يبقى بيصير
+
+149
+00:15:40,950 --> 00:15:47,370
+المنحنة على الشكل التالي هذا ثيتا تساوي زيرو وهذا
+
+150
+00:15:47,370 --> 00:15:52,410
+ثيتا تساوي باي على اتنين بيصير المنحنة عنده بالشكل
+
+151
+00:15:52,410 --> 00:15:56,030
+هذا وهذا
+
+152
+00:15:56,030 --> 00:16:02,890
+ال inner law بالشكل اللي عندنا هذايجب ان يكون
+
+153
+00:16:02,890 --> 00:16:09,350
+المنحنة معادلة r يساوي a ناقص b في cosine الزاوية
+
+154
+00:16:09,350 --> 00:16:16,040
+θطب لو كان بدل ال cosine صارت sin مافيش اللي بده
+
+155
+00:16:16,040 --> 00:16:23,020
+يحصل؟ يبقى لو كان عندي R يساوي ايه ماقص بيه في sin
+
+156
+00:16:23,020 --> 00:16:28,500
+الزاوية ثيتا يبقى تقولها المنحنة بالشكل هذا I ثيتا
+
+157
+00:16:28,500 --> 00:16:33,720
+تساوي zero و I ثيتا تساوي Pi على الإتنينيبقى
+
+158
+00:16:33,720 --> 00:16:37,240
+الرسمة بدا جد ما كان فيه تمثل بالنسبة لمحور X
+
+159
+00:16:37,240 --> 00:16:41,860
+هيصير فيه تمثل بالنسبة لمحور Y2 الإشارة السالب
+
+160
+00:16:41,860 --> 00:16:47,780
+يبقى الرسمة كلها تحت محور X أو غالبها يبقى بده يجي
+
+161
+00:16:47,780 --> 00:16:53,480
+كك الرسمة وهذه من الناحية التانية وهذه ال inner
+
+162
+00:16:53,480 --> 00:16:55,220
+lob الشكل اللي عندها
+
+163
+00:16:59,400 --> 00:17:05,440
+طب لو بدل انشار السلب صار موجب يبقى المنحنى هذا
+
+164
+00:17:05,440 --> 00:17:11,200
+هياخد الشكل التالي يبقى هذا θ تساوي zero وهذا θ
+
+165
+00:17:11,200 --> 00:17:16,540
+تساوي πاي على اتنين يبقى يجيك المنحنى بالشكل هذا
+
+166
+00:17:16,540 --> 00:17:22,110
+ومن هنا بالشكل هذاوهذا ال inner lob بهذا الشكل
+
+167
+00:17:22,110 --> 00:17:28,890
+يبقى هذا R يساوي A زائد B في صيني الزاوية تيتا إذا
+
+168
+00:17:28,890 --> 00:17:32,990
+الإشارة بالموجة بيبقى الرسم غالبها على ال X axis
+
+169
+00:17:32,990 --> 00:17:37,410
+إذا الإشارة بالسالب و مع ال sign يبقى الرسم غالبها
+
+170
+00:17:37,410 --> 00:17:43,090
+أسفل ال X axis إذا الإشارة بالسالب لل cosine يبقى
+
+171
+00:17:43,090 --> 00:17:47,370
+الجهة السالبة لل X axis إذا الإشارة بالموجة بيقبل
+
+172
+00:17:47,370 --> 00:17:54,850
+جهة اليمنىهذا لو كان ال A أقل من B طب لو حصل أن ال
+
+173
+00:17:54,850 --> 00:17:59,930
+A يساوي ال B، شو بدي يكون الوضع؟ يبقى بالدهجي هنا
+
+174
+00:17:59,930 --> 00:18:05,690
+لنمر أتنينلو كان ال a يساوي ال b في المنحنة بدي
+
+175
+00:18:05,690 --> 00:18:12,710
+يصير r تساوي a زائد b في cosine الزاوية ثانية لو
+
+176
+00:18:12,710 --> 00:18:17,330
+رحت رسمت الرسمة بتطلع نفس الرسم هذا بالضبط بس
+
+177
+00:18:17,330 --> 00:18:25,390
+بتطير ال inner lawبصير منحنة الكاردويد منحنة القلب
+
+178
+00:18:25,390 --> 00:18:30,670
+بدون inner load كيف؟ كالتالي يبقى هذا المنحنة
+
+179
+00:18:30,670 --> 00:18:35,890
+بيصير بهذا الشكل I theta تساوي Zero و I theta
+
+180
+00:18:35,890 --> 00:18:44,610
+تساوي Pi على اتنين و المنحنة بيجيلك هيك بس inner
+
+181
+00:18:44,610 --> 00:18:52,170
+load ماعنديشتمام؟ طب لو كان الملحنة R يساوي A ناقص
+
+182
+00:18:52,170 --> 00:18:57,950
+B فيه ناقص A فيه cosine فش بيه ال A تساوي ال B يا
+
+183
+00:18:57,950 --> 00:19:06,530
+شباب كله A ماعنديش B A تساوي ال Bطبعا يبقى a ناقص
+
+184
+00:19:06,530 --> 00:19:11,670
+ال a في cos الزاوية θ يبقى المنحنة بيصير بالشكل
+
+185
+00:19:11,670 --> 00:19:17,510
+هذا θ تساوي zero و هنا θ تساوي pi على اتنين و
+
+186
+00:19:17,510 --> 00:19:25,060
+المنحنة بيصير بالشكل اللي عندك هناطيب لو كان
+
+187
+00:19:25,060 --> 00:19:35,980
+بدلالة ال sign يعني ال a او ال r تساوي a ناقص a في
+
+188
+00:19:35,980 --> 00:19:39,980
+ال sign الزاوية theta يبقى المنحنى بالشكل اللي
+
+189
+00:19:39,980 --> 00:19:44,960
+عندنا هذا theta تساوي zero وهنا theta تساوي pi على
+
+190
+00:19:44,960 --> 00:19:52,140
+اتنين والمنحنى بيصير بالشكل اللي عندناطب لو كان R
+
+191
+00:19:52,140 --> 00:19:59,000
+تساوي A زائد A في صيني الزاوية ثيتا يبقى المنحنى
+
+192
+00:19:59,000 --> 00:20:03,520
+بالشكل اللي عندي هذا ثيتا تساوي Zero وهذا ثيتا
+
+193
+00:20:03,520 --> 00:20:08,280
+تساوي Pi على اتنين وهذا المنحنى بيأخد الشكل اللي
+
+194
+00:20:08,280 --> 00:20:15,890
+عنديطبعا يبقى حتى الآن خلصنا حالتين و الحالتين
+
+195
+00:20:15,890 --> 00:20:21,090
+اللي أنها تبقى ايش؟ كل واحدة فيهم باربع رسومات
+
+196
+00:20:21,090 --> 00:20:30,850
+يبقى عندنا صار ثمانية منحنيات و بقيت ثمانية أخرى
+
+197
+00:20:30,850 --> 00:20:37,790
+ايش
+
+198
+00:20:37,790 --> 00:20:39,570
+اللي ان الحالة التالتة؟
+
+199
+00:20:43,100 --> 00:20:52,020
+الـ A أقل من B الـ A تساوي الـ B هم من بعدها بتاخد
+
+200
+00:20:52,020 --> 00:21:04,700
+A أكبر من B يبقى F الـ A greater than B and أو بين
+
+201
+00:21:04,700 --> 00:21:14,040
+قسيان الـ A على B greater than 1بديش يخليها زي هك،
+
+202
+00:21:14,040 --> 00:21:19,380
+يبقى بدي أخد ال A على B أكبر من واحد و أجل من
+
+203
+00:21:19,380 --> 00:21:25,990
+إيمينمن الاتنين كيف يكون شكل الرسم يبقى بداخله
+
+204
+00:21:25,990 --> 00:21:33,630
+ياخد الحالة الأولى R يساوي A زائد B في Cos الزاوية
+
+205
+00:21:33,630 --> 00:21:40,210
+ثيتا يبقى المنحنى بهذا الشكل ثيتا تساوي Zero ثيتا
+
+206
+00:21:40,210 --> 00:21:47,990
+تساوي Pi على اتنين لاحظ الحالة الأولىلما تقلنا
+
+207
+00:21:47,990 --> 00:21:52,710
+للثانية طارت ال inner law وصار المنحلة بيبدأ من
+
+208
+00:21:52,710 --> 00:21:58,530
+نقطة الأصل وبيرجع لنقطة الأصل المرة هذه مش هيرجع
+
+209
+00:21:58,530 --> 00:22:03,750
+لنقطة الأصل، لا يبدأ منها ولا يرجع لها، بيصير هذا
+
+210
+00:22:03,750 --> 00:22:09,350
+للخارج كيف كانت تالي يعني بيصير المنحلة كان في
+
+211
+00:22:09,350 --> 00:22:15,420
+الأصل زي هيك، مظبوط؟يبقى بيجي كلمة من الحالة بيكمل
+
+212
+00:22:15,420 --> 00:22:22,840
+هك و بيجي هك بس بوصلش نقطة الأصل تمام؟ لو جتلى
+
+213
+00:22:22,840 --> 00:22:28,120
+الحالة التانية R تساوي ايه؟ ناقص P في cosine
+
+214
+00:22:28,120 --> 00:22:29,400
+الزاوية ثتا
+
+215
+00:22:32,040 --> 00:22:37,020
+يبقى هذا theta تساوي zero وهذا theta تساوي pi على
+
+216
+00:22:37,020 --> 00:22:41,240
+اتنين خلّي أبقى لك هنا كويس يبقى الملحنة بيصير
+
+217
+00:22:41,240 --> 00:22:46,620
+علويا على الناحية التانية بهذا الشكل و بيجيك
+
+218
+00:22:46,620 --> 00:22:52,720
+الملحنة يكملك و يجي بالشكل هذايعني في دنت، دنت
+
+219
+00:22:52,720 --> 00:23:00,140
+نتوء أو انبعاد للداخل نتوء للداخل او انبعاد للداخل
+
+220
+00:23:00,140 --> 00:23:06,860
+طب الحالة التالتة، لو كان ال R يساوي A ناقص B في
+
+221
+00:23:06,860 --> 00:23:11,140
+ال sign الزاوية فيه، يبقى المنحلة هفضل يصير بالشكل
+
+222
+00:23:11,140 --> 00:23:17,960
+هذاتيتا تساوي zero وهنا تيتا تساوي باي على اتنين
+
+223
+00:23:17,960 --> 00:23:26,780
+يبقى الملحنة بهذا الشكل هك و بده يجي لهدا هك طبعا
+
+224
+00:23:26,780 --> 00:23:32,600
+بلّة الحالة الرابعة والاخيرة اللي هي R تساوي A
+
+225
+00:23:32,600 --> 00:23:36,520
+زائد B في صيني الزاوية تيتا
+
+226
+00:23:42,830 --> 00:23:48,450
+المنحنة هيصبح على الشكل التالي هذا theta تساوي
+
+227
+00:23:48,450 --> 00:23:54,930
+zero وهذا theta تساوي باي على اتنين المنحنة هيصبح
+
+228
+00:23:54,930 --> 00:24:03,780
+بالشكل هذا هيك وهذا يكمل هيك ويجي طالعتمام؟ يبقى
+
+229
+00:24:03,780 --> 00:24:07,500
+هذه الحالات الأربعة الأخرى طب الحالة الرابعة
+
+230
+00:24:07,500 --> 00:24:17,780
+والاخيرة لو كان ال a greater than b and ال a على b
+
+231
+00:24:17,780 --> 00:24:24,800
+أكبر من أو يسوى 2 النقطة هذا كله بروح و بصير تقوس
+
+232
+00:24:24,800 --> 00:24:32,880
+للخار يصير convex لماثونهذا مثلا لماذا نسميه ايه
+
+233
+00:24:32,880 --> 00:24:39,540
+دنت؟ لأن بي عاجل يدخل دنتيعني انه two او ان بعاجلة
+
+234
+00:24:39,540 --> 00:24:46,640
+داخل الان لو جينا لهذا سيصبح المنحنى اله R يساوي A
+
+235
+00:24:46,640 --> 00:24:52,140
+زائد B P Cos الزاوية ثيتا يبقى المنحنى بيصير
+
+236
+00:24:52,140 --> 00:24:57,540
+بالشكل هذا هذا ثيتا تساوي Zero وهذا ثيتا تساوي Pi
+
+237
+00:24:57,540 --> 00:25:04,720
+على الاتنين هذا المنحنى هيك الشكل هذابعد ما أقدمت
+
+238
+00:25:04,720 --> 00:25:10,260
+هذه بيصير للخارجي بيصير عندي على شكل قوس بهذا
+
+239
+00:25:10,260 --> 00:25:16,620
+الشكل من هنا مسميه convex lemas lemas المحدد طبعا
+
+240
+00:25:16,620 --> 00:25:24,360
+طيب لو كان بالشكل اللي عندنا هذا I θ تساوي zero و
+
+241
+00:25:24,360 --> 00:25:31,240
+هنا θ تساوي πي على الأتنين يبقى الملحنة بيصير
+
+242
+00:25:31,240 --> 00:25:32,080
+بالشكل هذا
+
+243
+00:25:35,670 --> 00:25:42,910
+هذا اللي هو ال R تساوي and
+
+244
+00:25:42,910 --> 00:25:48,690
+ال A على B greater than or equal to 2 هذا ال R
+
+245
+00:25:48,690 --> 00:25:49,810
+تساوي
+
+246
+00:25:54,420 --> 00:26:00,300
+تساوي اللي هو ال a ناقص ال b في cosine الزاوية
+
+247
+00:26:00,300 --> 00:26:06,120
+ثيتا لو جينا لل sign بنفس الطريقة يبقى بدي جينا
+
+248
+00:26:06,120 --> 00:26:14,060
+المنحنة بالشكل هذا R تساوي a ناقص b في sine
+
+249
+00:26:14,060 --> 00:26:21,600
+الزاوية ثيتا يبقى المنحنة بيجينا بالشكل هذاومن هنا
+
+250
+00:26:21,600 --> 00:26:27,240
+بيصير قوس بهذا الشكل الحالة الرابعة والاخيرة R
+
+251
+00:26:27,240 --> 00:26:34,620
+تسوى A زائد B في صيني الزاوية ثيتا يبقى المنحنة
+
+252
+00:26:34,620 --> 00:26:40,820
+بيجينا بالشكل هذا ثيتا تسوى Zero وثيتا تسوى Pi على
+
+253
+00:26:40,820 --> 00:26:47,480
+اتنين المنحنة بالشكل هذا هيك وهذا بيجي لك قوس بهذا
+
+254
+00:26:47,480 --> 00:26:47,920
+الشكل
+
+255
+00:26:50,890 --> 00:26:57,170
+انا الآن يعني فهمتك تطلع على شكل المعادلة و تطلع
+
+256
+00:26:57,170 --> 00:27:02,970
+على الأرقام تبعتها، كويس؟ بعد كده، بدك تروح تدرس
+
+257
+00:27:02,970 --> 00:27:07,430
+الـsymmetry لكل واحدة منهم يعني احنا جيبنالك على
+
+258
+00:27:07,430 --> 00:27:12,600
+طول كستنتاج، لكن لو جاك سؤال، بيجيك سؤال واحد بسزي
+
+259
+00:27:12,600 --> 00:27:16,440
+احنا ما بدأنا الحالة الأولى الأصلى، يجيك سؤال، لكن
+
+260
+00:27:16,440 --> 00:27:20,820
+امتى من خلال معادلة يكون طبعة في دماغك ما هو شكل
+
+261
+00:27:20,820 --> 00:27:26,360
+الرسمة؟ فبتروح تعمل الجدول وبتروح ترسم الرسمة،
+
+262
+00:27:26,360 --> 00:27:30,260
+وإذا جالك فيلم دي حال، نمره راح ت discuss the
+
+263
+00:27:30,260 --> 00:27:34,020
+symmetry، بدك تعمل ال symmetry اللي معلناه هنا، طب
+
+264
+00:27:34,020 --> 00:27:37,620
+ما جالنيش، جاللي ارسم واسكتيبقى لا داعي
+
+265
+00:27:37,620 --> 00:27:41,720
+للـsymmetry إذا كنت عارف شكل الرسم أعمله الجدول و
+
+266
+00:27:41,720 --> 00:27:45,720
+أروح أرسمه أحيانا بنطلب الـsymmetry و بنطلبش
+
+267
+00:27:45,720 --> 00:27:50,220
+الرسمة و أحيانا بنطلب الرسمة و الـsymmetry شكتين
+
+268
+00:27:50,220 --> 00:27:55,060
+يبقى أنت بتتقيد بسيط السؤال على جدر السؤال بدها
+
+269
+00:27:55,060 --> 00:28:00,440
+تكون الإجابة طيب أنا بدي أحط السؤال من عندي ها أنا
+
+270
+00:28:00,440 --> 00:28:06,370
+وياك و نتناقش إنيات من الرسومات اللي عنديلو جاء
+
+271
+00:28:06,370 --> 00:28:12,690
+تجانب سؤال في الامتحان قال لي ارسم للمنحنة R يساوي
+
+272
+00:28:12,690 --> 00:28:21,970
+مثلا اربع زائد ثلاثة فصين الزاوية يبقى
+
+273
+00:28:21,970 --> 00:28:29,630
+هذا A زائد B بدأ اخد A على B A على B بده يساوي
+
+274
+00:28:29,630 --> 00:28:35,570
+اربع على تلاتةأربعة على تلاتة يعني واحد و تلت أكبر
+
+275
+00:28:35,570 --> 00:28:41,370
+من واحد و أقل من منين؟ من اتنين أكبر من واحد و أقل
+
+276
+00:28:41,370 --> 00:28:47,090
+من اتنين ههه اللي هو هذي صحيح ولا لا؟ الان يبقى
+
+277
+00:28:47,090 --> 00:28:51,750
+واحدة من الرسومات الأربعة باجي بطلة المثل عندنا
+
+278
+00:28:51,750 --> 00:28:56,390
+مطاردة من الاتنين يبقى هذه رسمتين راحوا ضلتين تين
+
+279
+00:28:56,390 --> 00:29:02,520
+هذول باجي بطلة ليه شرم الزاد؟ يبقى هذهتمام؟ يبقى
+
+280
+00:29:02,520 --> 00:29:07,280
+هي الرسمة عندك، لو كانت الإشارة بالنقص يبقى هذه،
+
+281
+00:29:07,280 --> 00:29:11,640
+لو بدل ال sign cosine يبقى الأولى، لو كان cosine
+
+282
+00:29:11,640 --> 00:29:16,000
+او سالي بكبامين، التانية و هكذا، يبقى من خلال
+
+283
+00:29:16,000 --> 00:29:21,160
+المعادلة بقدر لحالي أستنتج ما هي شكل الرسمة، دي
+
+284
+00:29:21,160 --> 00:29:24,200
+بالك هدول ممكن تلاقي كل واحد فيه معبرة عن سؤال في
+
+285
+00:29:24,200 --> 00:29:29,140
+الكتاب أو على الأقل عشر أسئلة من أسط الكتاب هيها
+
+286
+00:29:29,140 --> 00:29:34,500
+قدامك على اللوح، تمام؟حد اللي هو يتسوّل قبل أن
+
+287
+00:29:34,500 --> 00:29:41,000
+نذهب إلى رسمة أخرى اسمها 111
+
+288
+00:29:44,370 --> 00:29:49,930
+قلت لك قبل قليل قلت لك حسب نص السؤال اذا قالت لك
+
+289
+00:29:49,930 --> 00:29:53,370
+نمرأي اتكلم عن سيمتري اذا قالت لك تسوي السيمتري
+
+290
+00:29:53,370 --> 00:29:55,050
+اذا قالت لك تسوي السيمتري اذا قالت لك تسوي
+
+291
+00:29:55,050 --> 00:29:55,470
+السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك
+
+292
+00:29:55,470 --> 00:29:58,070
+تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت
+
+293
+00:29:58,070 --> 00:30:00,030
+لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا
+
+294
+00:30:00,030 --> 00:30:00,330
+قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري
+
+295
+00:30:00,330 --> 00:30:03,050
+اذا قالت لك تسوي السيمتري اذا قالت لك تسوي
+
+296
+00:30:03,050 --> 00:30:05,170
+السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك
+
+297
+00:30:05,170 --> 00:30:10,450
+تسوي السيمتري الكن إذا كنت من شكل المعادلة عرفتها
+
+298
+00:30:10,450 --> 00:30:14,230
+الشيء، يبقى على طول الخاطر، ماعليك أن تعمل جد ولا
+
+299
+00:30:14,230 --> 00:30:20,370
+ترسم؟ الرسمة. طبعا كل رسم من هذه الرسومات لها اسم.
+
+300
+00:30:20,710 --> 00:30:25,030
+هذا صمنا الأول Limason و Inner Lobe. هذا اسمه شباب
+
+301
+00:30:25,030 --> 00:30:31,390
+Cardoid، منحنى القلب. هذا اسمه Cardoid.
+
+302
+00:30:35,760 --> 00:30:45,140
+لوم انحنى القلب هذا بنسميه limson with a dent يعني
+
+303
+00:30:45,140 --> 00:30:49,820
+بنطوق كتبتلك دنت هايو limson with a dent يعني
+
+304
+00:30:49,820 --> 00:30:53,000
+بنحناه
+
+305
+00:30:53,000 --> 00:30:58,500
+او انبعاد للداخل او نطوق للداخل هذا سميناه convex
+
+306
+00:30:58,500 --> 00:31:00,700
+هذا بتكتب لك تحت
+
+307
+00:31:11,350 --> 00:31:14,990
+بننتقل الآن إلى مثال آخر
+
+308
+00:31:43,830 --> 00:31:51,810
+مثال رقم اتنين مثال
+
+309
+00:31:51,810 --> 00:31:55,210
+رقم تلاتة لان المرة اللي فاز اخدنا مثال رقم واحد
+
+310
+00:31:55,210 --> 00:31:56,590
+sketch
+
+311
+00:32:01,890 --> 00:32:12,910
+of the curves المنحنيات
+
+312
+00:32:12,910 --> 00:32:24,030
+التالية نمرة A R ترابية يساوي اربعة كصين اتنين
+
+313
+00:32:24,030 --> 00:32:31,530
+ثيتانمر يا بي ارثر بيه يستوي اربع في كوسين اتنين
+
+314
+00:32:31,530 --> 00:32:36,790
+ثتا هذا
+
+315
+00:32:36,790 --> 00:32:39,290
+المنحنة اسمه منحنة لمنسكات
+
+316
+00:32:53,580 --> 00:32:59,040
+شوف اسمه، اتهمنيش التسمة بهم المعادلة والشكليبقى
+
+317
+00:32:59,040 --> 00:33:05,640
+solution و أول خطوة بنروح نعملها بدنا نبحث ال
+
+318
+00:33:05,640 --> 00:33:09,760
+symmetry النقطة الأولى تبقى بدنا نشوف المنحنة
+
+319
+00:33:09,760 --> 00:33:14,040
+متمثل بالنسبة لمحور x ولا لأ تبقى بنروح أشيل theta
+
+320
+00:33:14,040 --> 00:33:20,780
+و أحط مكانها سالب theta يبقى أربع sign اتنين في
+
+321
+00:33:20,780 --> 00:33:27,260
+سالب theta يبقى هذه أربع sign لسالب اتنين theta
+
+322
+00:33:29,710 --> 00:33:36,150
+يبقى الصالب برا يبقى الصالب اربع صين اتنين ثيتا
+
+323
+00:33:36,150 --> 00:33:43,070
+يعني صالب R تربيع يعني ماسواتش R تربيع يبقى لا
+
+324
+00:33:43,070 --> 00:33:50,070
+تساوي R تربيعأذا ماقدرش أقول في تمثل و الله مافيش
+
+325
+00:33:50,070 --> 00:33:54,070
+بده أروح أجيب النقطة المكافئة لها يبقى بده أشيل كل
+
+326
+00:33:54,070 --> 00:33:59,290
+theta و أحط مكانها by ناقص theta يبقى بده أاخد
+
+327
+00:33:59,290 --> 00:34:05,870
+الأن أربع sine اتنين في by ناقص theta شيلنا theta
+
+328
+00:34:05,870 --> 00:34:11,010
+تبع الملحنة و أحط هنا مكانها by ناقص theta يبقى
+
+329
+00:34:11,010 --> 00:34:17,340
+أربع sine اتنين by ناقص اتنين thetaهذا هو مقدار
+
+330
+00:34:17,340 --> 00:34:22,620
+الوقت للصينة يبقى اتنين بايا مقدار الوقت يبقى
+
+331
+00:34:22,620 --> 00:34:28,880
+اتنين بايا مقدار الوقت يبقى اتنين بايا مقدار الوقت
+
+332
+00:34:28,880 --> 00:34:32,020
+يبقى اتنين بايا مقدار الوقت يبقى اتنين بايا مقدار
+
+333
+00:34:32,020 --> 00:34:38,700
+الوقتالـSin هذا يؤدي يبقى سالب برا يبقى يساوي سالب
+
+334
+00:34:38,700 --> 00:34:46,740
+أربعة سين اتنين ثيتا يبقى هذا سالب R تربيع سؤالي
+
+335
+00:34:46,740 --> 00:34:55,760
+هو إذا متمثل بالنسبة لمحور Y بالنسبة
+
+336
+00:34:55,760 --> 00:34:59,140
+لمحور X ماتش بالنسبة لمحور X اه متمثل بالنسبة
+
+337
+00:34:59,140 --> 00:34:59,940
+لمحور X
+
+338
+00:35:09,730 --> 00:35:17,850
+أبراهيم الباكي يدعي أو يزعم ان هو يزعم تحت مال
+
+339
+00:35:17,850 --> 00:35:23,150
+الوردة الشغلطية من الزعم اللي هو أبصر ومن الزعم
+
+340
+00:35:23,150 --> 00:35:28,940
+يعني من الضمانة وانا به زعيمطبعا واللي ما فقر صواع
+
+341
+00:35:28,940 --> 00:35:33,460
+الملك في قصة سيدنا يوسف قال اللي بيجيب صواع الملك
+
+342
+00:35:33,460 --> 00:35:38,820
+ايله حمل بعير زيادة وانا كفيل بالكلام هذا طبعا بس
+
+343
+00:35:38,820 --> 00:35:43,710
+كلامه مش صحيح مش صحيح ليش؟لان احنا لما نقول اذا
+
+344
+00:35:43,710 --> 00:35:48,470
+شيلت تيتا وحطيت مكانها by ناقص تيتا، بدي يطلع ناقص
+
+345
+00:35:48,470 --> 00:35:55,350
+R يعني احنا مشان يطلع كلامنا صحية، هذا لا يساوي
+
+346
+00:35:55,350 --> 00:36:02,020
+سالب R الكل تربيةيعني انت بدى يجى مكان الار سالب
+
+347
+00:36:02,020 --> 00:36:07,020
+ار مظبوط لكن احنا اجت السالب قبل الار يبقى هدول
+
+348
+00:36:07,020 --> 00:36:12,420
+بيسووش بعض وبالتالي no symmetry about the x axis
+
+349
+00:36:12,420 --> 00:36:24,060
+يبقى بروح بقوله هنا no symmetry about the x axis
+
+350
+00:36:24,060 --> 00:36:29,870
+ماعنديش تماثل حبل محور xلو رجعت للكلام النظري اللى
+
+351
+00:36:29,870 --> 00:36:35,870
+كتبناه المرة الماضية بنروح نشيل theta ونحط مكانها
+
+352
+00:36:35,870 --> 00:36:39,750
+ناقص theta طلعت نفس المعادلة بقول theta مثل ما
+
+353
+00:36:39,750 --> 00:36:44,710
+طلعتش بنروح ندور على النقطة المكافئة لهاحقنا هنا
+
+354
+00:36:44,710 --> 00:36:52,090
+ناقصتها ما طلعتش روحنا جيبنا من با اربع باين
+
+355
+00:36:52,090 --> 00:36:57,910
+ناقصتها الاصل هنا يطلع سالب ار مع الزاوية هذه تمام
+
+356
+00:36:57,910 --> 00:37:03,530
+احنا طلع ان هنا ليس سالب ار الكل تربية وانما طلعت
+
+357
+00:37:03,530 --> 00:37:07,750
+سالب لحالها والار تربية لحالها هدول بيسويش بعض
+
+358
+00:37:07,750 --> 00:37:14,800
+وبالتالي أصبح انهاالمنحنة غير متمثل بالنسبة لمحور
+
+359
+00:37:14,800 --> 00:37:19,840
+X طيب نجي النقطة التانية بنشوف التمثل بالنسبة
+
+360
+00:37:19,840 --> 00:37:28,100
+لمحور Y يبقى بدي أخد الأن أربعة صيني اتنين ل by
+
+361
+00:37:28,100 --> 00:37:35,170
+ناقص theta مش هي اللي فوق هذهصح ولا لا؟ يبقى هذه
+
+362
+00:37:35,170 --> 00:37:41,950
+بدأت ساوي سالب R تربيع from above بديش أروح عيدها
+
+363
+00:37:41,950 --> 00:37:48,630
+تاني طيب هذا الأصل يطلع مين؟ R تربيع لو كان هناك
+
+364
+00:37:48,630 --> 00:37:56,980
+تماثل يبقى هذا لا يساوي R تربيعمعناته مش مبين فيه
+
+365
+00:37:56,980 --> 00:38:00,460
+symmetry بس بدنا نأكد بدنا نروح على النقطة
+
+366
+00:38:00,460 --> 00:38:08,220
+المكافئة لها بقول بط ولكن اربعة صين اتنين لسالب
+
+367
+00:38:08,220 --> 00:38:13,120
+ثيتا بنحط جيب النقطة المكافئة لهو بده يطلع الجواب
+
+368
+00:38:13,210 --> 00:38:18,870
+بدلالة سالب ار بقول ان هذا الكلام يسوي سالب اربعة
+
+369
+00:38:18,870 --> 00:38:26,690
+صين اتنين ثيتا يعني سالب ار تربية ولا يسوي كذلك
+
+370
+00:38:26,690 --> 00:38:33,290
+سالب ار لكل تربية اذا من الاتنين هذول بستنتج انه
+
+371
+00:38:33,290 --> 00:38:40,910
+لا يوجد symmetry بالنسبة لمن؟ كويس يبقى الناس
+
+372
+00:38:40,910 --> 00:38:42,070
+symmetry
+
+373
+00:38:44,230 --> 00:38:54,010
+About مين؟ الـ Y Axis بعوض الله طيب، النمرة تلاتة،
+
+374
+00:38:54,010 --> 00:38:59,830
+بدالي تمثل بالنسبة لنقطة الأصل، يبقى بدالي أشيل R
+
+375
+00:38:59,830 --> 00:39:04,650
+و أحط مكانها ناقصها رأينا، دلت نفس المعادلة، بنقول
+
+376
+00:39:04,650 --> 00:39:08,550
+فيه تمثل، ماكانش، بدنا نروح و نجيب النقطة المكافية
+
+377
+00:39:08,550 --> 00:39:15,650
+لهايبقى أنا بدي أشيل R و أحط مكانها سالب R إيش
+
+378
+00:39:15,650 --> 00:39:22,150
+طالع عندي؟ R تربية نفسها اللي هي مين؟ اللي هي اللي
+
+379
+00:39:22,150 --> 00:39:30,970
+عندنا أربع صين اتنين ثيتا يبقى هنا the graph is
+
+380
+00:39:30,970 --> 00:39:36,430
+symmetric about
+
+381
+00:39:36,430 --> 00:39:38,270
+مين؟
+
+382
+00:39:40,620 --> 00:39:46,400
+يبقى فيه تمثل بالنسبة لنقطة الأصل يبقى خلاص نبحثنا
+
+383
+00:39:46,400 --> 00:39:53,220
+السيمتري مش ضايل إلا نعمل الجدول ومن الجدول نروح
+
+384
+00:39:53,220 --> 00:39:57,060
+نرسم يبقى
+
+385
+00:39:57,060 --> 00:40:08,130
+هذا ثيتا وهنا R ماعرفش نحط R ولا R تربيعبحط R صح R
+
+386
+00:40:08,130 --> 00:40:11,270
+وليس أر تربية لأنهم يقولون نقبة دائما في ال polar
+
+387
+00:40:11,270 --> 00:40:17,770
+هي R وثيتا وليست R تربية وثيتا يبقى احنا بدنا R
+
+388
+00:40:17,770 --> 00:40:22,990
+معناته بدنا نروح ناخد الجذر التربية إلى المقدار
+
+389
+00:40:22,990 --> 00:40:27,390
+اللي عندنا لو زاد او ناقص اتنين الجذر التربية اللي
+
+390
+00:40:27,390 --> 00:40:34,510
+ي assign اتنين ثيتا بهذا الشكل اظن الشجهة انتهينا
+
+391
+00:40:34,510 --> 00:40:35,410
+منها برضه
+
+392
+00:40:50,560 --> 00:40:56,200
+لاحظ المرة هذه انا تعمت احل السؤال بدلالة الـSin
+
+393
+00:40:56,200 --> 00:41:00,060
+وليس بدلالة الـCos لان السؤال اللى جابله حلناه
+
+394
+00:41:00,060 --> 00:41:03,280
+بدلالة الـCos اذا نشوف الـsymmetry كيف بيصير فيه
+
+395
+00:41:03,930 --> 00:41:10,590
+طيب، بدأ أخد θ تساوي زيرو، صين زيرو بقداش؟ تزيرو،
+
+396
+00:41:10,590 --> 00:41:15,450
+يبقى بدنا نبدأ من نقطة الأصل، بعد هيك، لو قلت لك
+
+397
+00:41:15,450 --> 00:41:21,470
+مثلا خمستاشر درجة طب ليش خمستاشر، ماتمشي تلاتين زي
+
+398
+00:41:21,470 --> 00:41:26,410
+قبل، لأن هذه مضروبة في اثنين، و لو كانتسين تلاتة
+
+399
+00:41:26,410 --> 00:41:30,570
+تيته ببدأ بعشر درجات يبقى أنا ببدأ حسب الزاوية
+
+400
+00:41:30,570 --> 00:41:35,250
+اللي عندي لإن خمستاش في اتنين بتلاتين جا تلاتين
+
+401
+00:41:35,250 --> 00:41:40,450
+بنص تحت الجدر يبقى اتنين في واحد على جدر اتنين
+
+402
+00:41:40,450 --> 00:41:45,030
+اضرب في جدر اتنين على جدر اتنين بظل بس جداش جدر
+
+403
+00:41:45,030 --> 00:41:50,270
+اتنين هو واحد صحيح واربعة من عشرة يبقى زائد او
+
+404
+00:41:50,270 --> 00:41:55,680
+ناقص واحد صحيح واربعة من عشرةيبقى حتى انا يا شباب
+
+405
+00:41:55,680 --> 00:42:03,420
+انا جيبت كام نقطة تلاتة تلاتة زائد ونقص يبقى جيبت
+
+406
+00:42:03,420 --> 00:42:08,720
+تلات نقاط على المنحنة طيب بعد الخمستاشة لو قلت
+
+407
+00:42:08,720 --> 00:42:16,160
+مثلا تلاتين ها تلاتين في اتنين ستين جيب الستين في
+
+408
+00:42:16,160 --> 00:42:21,300
+الجدر التلاتة على اتنين تحت الجدر جدر الجدر
+
+409
+00:42:21,300 --> 00:42:25,400
+التلاتة يعني انت بتشغل ال calculatorلكن ايش رايك؟
+
+410
+00:42:25,400 --> 00:42:29,520
+بلها التلاتين، خش على الخمسة واربعين، شو بيصير
+
+411
+00:42:29,520 --> 00:42:36,700
+يعني؟ خمسة واربعين في اتنين، جاء تسعين، يبقى بيصير
+
+412
+00:42:36,700 --> 00:42:41,060
+زائد او ناقص اتنين، ماعناش calculator، زائد او
+
+413
+00:42:41,060 --> 00:42:45,180
+ناقص اتنين، والفرقات بسيطة، مش كتير، واحد واربع
+
+414
+00:42:45,180 --> 00:42:49,230
+واناشر، اتنين جريمات على بعضيبقى دى حتى لو جبت مش
+
+415
+00:42:49,230 --> 00:42:53,130
+هتأثر عندي و لو اني بعدت شوية طب الخمسة و أربعين
+
+416
+00:42:53,130 --> 00:42:58,510
+لو روحت للستين نفس المشكلة مية و عشرين وجت المية و
+
+417
+00:42:58,510 --> 00:43:02,390
+عشرين وجت الستين نفس القصة يبقى روح على الخمسة و
+
+418
+00:43:02,390 --> 00:43:07,730
+سبعين دوري يبقى لو روحنا على الخمسة و سبعين درجة
+
+419
+00:43:09,840 --> 00:43:14,040
+خمسة وسبعين في اتنين، مية وخمسين، جيب المية
+
+420
+00:43:14,040 --> 00:43:19,900
+وخمسين، وجيب التلاتين، جيب التلاتين يساوي نص يبقى
+
+421
+00:43:19,900 --> 00:43:25,080
+نفس القصة، هذه واحد واربع من عشرة، يبقى زاد او
+
+422
+00:43:25,080 --> 00:43:30,800
+ناقص، واحد واربع من عشرة، بعدها بنجي تسعينأو باي
+
+423
+00:43:30,800 --> 00:43:34,560
+على تسعين في اتنين مية و تمانين جيب ال مية و
+
+424
+00:43:34,560 --> 00:43:40,140
+تمانين بزيرو يبقى رجعنا للزيرو يبقى مش ضائل إلا
+
+425
+00:43:40,140 --> 00:43:46,360
+الروح نرسم يبقى هذا ثيتا تساوي زيرو وهذا ثيتا
+
+426
+00:43:46,360 --> 00:43:53,300
+تساوي باي على اتنين يبقى دول طبعا زي دو نقل زيرو
+
+427
+00:43:53,300 --> 00:43:58,430
+بتوريكش هيها يبقى هاي نقطة هاي تنتينو هدول الست
+
+428
+00:43:58,430 --> 00:44:04,670
+يبقى ثماني نقاط فبتاع نرسم ال N00 بدنا نبدأ من
+
+429
+00:44:04,670 --> 00:44:10,430
+وين؟ من نقطة الأصل بعدها بنرسم خمستاشر درجة وناخد
+
+430
+00:44:10,430 --> 00:44:14,030
+طول واحد واربعة من عشرة ومن ناحية التانية سالب
+
+431
+00:44:14,030 --> 00:44:19,670
+واحد واربعة من عشرة خمستاشر درجة تقريبا هكذا
+
+432
+00:44:22,330 --> 00:44:28,250
+يبقى هذه 15 درجة بناخد عليها طول واحد واربعة من
+
+433
+00:44:28,250 --> 00:44:36,010
+عشرة يبقى هذه ايه لواحد مثلا واربعة من عشرة في في
+
+434
+00:44:36,010 --> 00:44:40,190
+الناحية التانية زي ما هذه بدك تروح تمد الخط هذا
+
+435
+00:44:40,190 --> 00:44:43,070
+على استقامته بالشكل اللي عندنا هذا
+
+436
+00:44:59,880 --> 00:45:08,500
+يبقى هذه شغلة تقريبية يبقى هذه خمستاشر درجة وهي
+
+437
+00:45:08,500 --> 00:45:13,440
+هنا واحد واربعة من عشرة وهنا واحد واربعة من عشرة
+
+438
+00:45:13,440 --> 00:45:18,590
+بالثالثبعد ذلك سنصل إلى خمسة واربعين درجة الخط
+
+439
+00:45:18,590 --> 00:45:20,070
+بنصف الزاوية
+
+440
+00:45:28,220 --> 00:45:34,580
+بتاخد عليه طول اتنين وسالب اتنين يبقى هذا اتنين
+
+441
+00:45:34,580 --> 00:45:39,800
+وهذا مين اللي هو سالب اتنين بالشكل اللي عندنا هذا
+
+442
+00:45:39,800 --> 00:45:46,880
+بعدين خمسة وسبعين درجة يبقى خمسة وسبعين درجة خط
+
+443
+00:45:46,880 --> 00:45:52,250
+اللي عندنا هذا يبقى هذا خمسة وسبعين درجةبدي أخذ
+
+444
+00:45:52,250 --> 00:45:57,950
+عليه طول واحد و أربعة من عشرة يبقى رجعنا لنفس
+
+445
+00:45:57,950 --> 00:46:04,510
+القصة هذه و من هنا نفسها بعدها رجعنا لمن؟ لل zero
+
+446
+00:46:04,510 --> 00:46:10,790
+يبقى بدنا نروح نرسم الشكل اللي وصل له يبقى منحنقوس
+
+447
+00:46:10,790 --> 00:46:17,430
+بالشكل هذا هيك و رجع تاني هيك و من الناحية التانية
+
+448
+00:46:17,430 --> 00:46:21,370
+هذه كمان اجه هيك و رجع هيك
+
+449
+00:46:26,450 --> 00:46:32,010
+تمام؟ يبقى هذا رسمة الملحانة الأول اللي هو R تربية
+
+450
+00:46:32,010 --> 00:46:38,550
+تساوي أربع صين اتنين ثيتا طب لو روحنا رسمنا لو
+
+451
+00:46:38,550 --> 00:46:44,790
+سألتك انا و قلتلك لو رسمنا هذا في الأول عارف لو
+
+452
+00:46:44,790 --> 00:46:49,950
+رسمنا هذا في الأول شكلك الشكل التالي هذا ثيتا
+
+453
+00:46:49,950 --> 00:46:57,540
+تساوي zero وهذا ثيتا تساوي بيعتكيبقى المنحنة هيجيك
+
+454
+00:46:57,540 --> 00:47:03,760
+بالشكل هذا هيك قوس هيك والتاني من الناحية التاني
+
+455
+00:47:03,760 --> 00:47:12,180
+هذا هيك هذا اللي هو R تساوي او R ترميه يساوي اربع
+
+456
+00:47:12,180 --> 00:47:18,560
+كوصين اتنين تيتا السؤال اللي كنت بدى اسأله لو رسمت
+
+457
+00:47:18,560 --> 00:47:25,390
+هذا المنحنة في الأول وجيت سألتك وقولتلكبعد هذا
+
+458
+00:47:25,390 --> 00:47:28,970
+سنقوم برسم الملحانة، هذا لن يأتي في بالك، لكنك
+
+459
+00:47:28,970 --> 00:47:33,290
+ستقول لي علامة و رواية، مظبوط؟ يبقى الشغل ليس
+
+460
+00:47:33,290 --> 00:47:38,910
+التحذير، وإنما تريد استخدام معلومات كامة، تمام؟
+
+461
+00:47:38,910 --> 00:47:43,910
+يبقى ده احنا غششناه كرسمة، التانية يجب أن تعملها
+
+462
+00:47:43,910 --> 00:47:48,210
+جدول و symmetry وطبعا كصين هذه، وزي ما انت شايف
+
+463
+00:47:48,800 --> 00:47:53,980
+متمثلة بالنسبة لمحور X ومتمثلة بالنسبة لمحور Y
+
+464
+00:47:53,980 --> 00:47:59,640
+ومتمثلة بالنسبة للـOrigin هذه لا يوجد تماثل إلا
+
+465
+00:47:59,640 --> 00:48:04,060
+بالنسبة للـOrigin هذه على اليمين ومافيش واحد
+
+466
+00:48:04,060 --> 00:48:07,400
+أجبالها على الشمال هذا الجزء على الشمال ومافيش
+
+467
+00:48:07,400 --> 00:48:10,080
+واحد أجباله على اليمين، لا يوجد اي سيمتري في
+
+468
+00:48:10,080 --> 00:48:14,780
+الواقع Y طلع هذا نوفقي، هذه فوق ومافيش أجبالها
+
+469
+00:48:14,780 --> 00:48:18,810
+واحدة تحت وهذه تحت ومافيش واحد أجبالها فوقيبقى no
+
+470
+00:48:18,810 --> 00:48:23,710
+symmetry about the x-axis يبقى مضل علشان دي إلا
+
+471
+00:48:23,710 --> 00:48:30,890
+تمثل حوالي المية حياليا ال origin نعطي كمان مثال
+
+472
+00:48:30,890 --> 00:48:40,950
+هذا مثال أربعة أربعة
+
+473
+00:48:40,950 --> 00:48:50,660
+بيقول للمرة Aر تساوي اربعة كوصين اتنين ثيتا ونمر B
+
+474
+00:48:50,660 --> 00:49:01,140
+ر تساوي اربعة صين اتنين ثيتا ونمر C ر
+
+475
+00:49:01,140 --> 00:49:10,640
+تساوي كوصين تلاتة ثيتا ونمر D ر تساوي صين تلاتة
+
+476
+00:49:10,640 --> 00:49:19,660
+ثيتاخلّيني أعطيك سلوشي السيمتري
+
+477
+00:49:19,660 --> 00:49:29,720
+سيكون مجرد تجارب لك سيمتري هذا مجرد تجاربهنا طبعا
+
+478
+00:49:29,720 --> 00:49:34,960
+متمثل بالنسبة ل X متمثل بالنسبة ل Y متمثل بالنسبة
+
+479
+00:49:34,960 --> 00:49:38,980
+لنقطة الأصل إذا ماعنديش مشكلة فيه خالص بالمرة بدنا
+
+480
+00:49:38,980 --> 00:49:42,920
+نروح نعمل جدول طبعا أنا بحكي لنفس بلى نمرى ايه
+
+481
+00:49:42,920 --> 00:49:46,820
+يبقى لو روحت عملت الجدول بدي أخد الجدول الشكل
+
+482
+00:49:46,820 --> 00:49:47,520
+التالي
+
+483
+00:49:50,860 --> 00:49:57,560
+هنا ثيتا وهنا R تساوي اربعة كوصين اتنين ثيتا دوري
+
+484
+00:49:57,560 --> 00:50:03,600
+مباشرة يبقى بالدهش ياخد Zero كوصين صفر يبقى دهش
+
+485
+00:50:03,600 --> 00:50:09,580
+بواحد يبقى الطول يساوي اربعة لو جت اخد خمستاشر
+
+486
+00:50:09,580 --> 00:50:15,160
+درجة ايه خمستاشر درجة في اتنين تلاتين جت تلاتين
+
+487
+00:50:15,160 --> 00:50:20,400
+جدر تلاتة ع التاني يبقى اتنينجدر تلاتة اللي هو
+
+488
+00:50:20,400 --> 00:50:26,220
+تلاتة صحيح وأربعة من عشرة بعد الخمستاشر لو أخد
+
+489
+00:50:26,220 --> 00:50:34,460
+تلاتين في اتنين ستين جتا ستين بلص يفجف كده؟ باتنين
+
+490
+00:50:34,460 --> 00:50:41,780
+بعد لو أخد خمسة واربعين درجة بيطلع كده؟ Zero خمسة
+
+491
+00:50:41,780 --> 00:50:46,810
+واربعين في اتنين بتسعين اللي هو مين؟بزيرو بالشكل
+
+492
+00:50:46,810 --> 00:50:51,950
+اللي عندنا هذا بعد الخمسة وأربعين لو أخدت الستين
+
+493
+00:50:51,950 --> 00:50:58,470
+خمسة وسبعين تسعين وخلصنا من الشغل هذه طيب ستين في
+
+494
+00:50:58,470 --> 00:51:05,490
+اتنين بمية وعشرين زي جتا الستين جتا الستين بسالب
+
+495
+00:51:05,490 --> 00:51:11,510
+نص يبقى سالي باتنين لو كملت بظل سالب تلاتة واربعة
+
+496
+00:51:11,510 --> 00:51:18,250
+من عشر وهنا سالب اربعةخلّي بالك كويس يبقى بدي امسح
+
+497
+00:51:18,250 --> 00:51:30,110
+بس الجزء هذا مشان نرسم الرسم بشكل اكبر يبقى
+
+498
+00:51:30,110 --> 00:51:36,570
+الرسم هتاخد الشكل التالي هذا theta تساوي zero وهذا
+
+499
+00:51:36,570 --> 00:51:41,210
+theta تساوي πاي على الاتنين النقطة الأولى zero
+
+500
+00:51:41,210 --> 00:51:48,380
+اربعة بدأ تبدأ من هناكمّل الجدول الجدول هتلاقي
+
+501
+00:51:48,380 --> 00:51:56,400
+أجالك هيك تمام؟ وبعد هيك أجى ووقف هيك هذا كل
+
+502
+00:51:56,400 --> 00:52:02,940
+جدولنا طلع خمس تاشر درجة هي خمس تاشر درجة قداشة
+
+503
+00:52:02,940 --> 00:52:06,760
+خدنا عليها طول تلاتة صحيح وأربعة من عشرة لأن هذه
+
+504
+00:52:06,760 --> 00:52:14,390
+كانت أربعة وزيروبعدها تلاتين درجة كبرناها شوية
+
+505
+00:52:14,390 --> 00:52:19,730
+تلاتين درجة صار عندها هذه بعد التلاتين خمسة
+
+506
+00:52:19,730 --> 00:52:25,170
+واربعين رجعنا ووصلنا للنقطة هذه بعد الخمسة واربعين
+
+507
+00:52:25,170 --> 00:52:31,870
+ستين درجة يبقى هذه الستين درجة أخدنا في الخلف سالي
+
+508
+00:52:31,870 --> 00:52:38,980
+باتنين يبقى لو مدناه على استقامتهبدي اجيلك هك و
+
+509
+00:52:38,980 --> 00:52:43,780
+بدي اجيلك سالب اتنين اما بعده سالب تلاتة صحيح
+
+510
+00:52:43,780 --> 00:52:49,780
+اربعة من عشرة اللي بعده سالب اربعة هاي رسمناه الان
+
+511
+00:52:49,780 --> 00:52:54,360
+في تمثل بالنسبة ل X تمثل بالنسبة ل Y تمثل بالنسبة
+
+512
+00:52:54,360 --> 00:52:59,520
+لنقطة الاصل تمثل بالنسبة ل X يبقى هذا بدي يظهر جوز
+
+513
+00:52:59,520 --> 00:53:07,150
+زيه جوز زيه الشكل هناتمثل بالنسبة ليكسيب جهد الجثه
+
+514
+00:53:07,150 --> 00:53:13,640
+بده يظهر كمان جثه تاني زي و هيكالان في تمثل
+
+515
+00:53:13,640 --> 00:53:18,820
+بالنسبة لواي يبقى هذا تمثل بالنسبة لواي معناته هذا
+
+516
+00:53:18,820 --> 00:53:25,120
+جوس بده يظهر زيه وهذا جوس بده يظهر زيه والورقة
+
+517
+00:53:25,120 --> 00:53:29,580
+اللي على اليمين بده يظهر زيها وورقة على الشمال
+
+518
+00:53:29,580 --> 00:53:35,980
+يبقى منحنة الظهرة دول أربع ورقات يبقى هذا اسمه
+
+519
+00:53:35,980 --> 00:53:45,020
+four petals roseمنحنى الزهرة دول أربع ورقات طيب لو
+
+520
+00:53:45,020 --> 00:53:51,700
+جينا رسمنا المنحنى التاني اللي هو sin 2θ يبقى بدي
+
+521
+00:53:51,700 --> 00:53:57,900
+يكون شكله بالشكل هذا هذا θ تساوي zero و هذا θ
+
+522
+00:53:57,900 --> 00:54:05,490
+تساوي pi على اتنينهذا ثيتا تساوي باية على أربعة
+
+523
+00:54:05,490 --> 00:54:12,250
+ومن الناحية هذه ثيتا تساوي تلاتة باية على أربعة طل
+
+524
+00:54:12,250 --> 00:54:18,070
+على الرسم شيء بدي يكون يبقى هذا ورقة وهذه ورقة
+
+525
+00:54:18,070 --> 00:54:24,930
+تانية وهذه التالتة وهذه الرابعة أقولك زخرة فاليوم
+
+526
+00:54:24,930 --> 00:54:32,110
+عندك تمام؟طيب، لاحظ، تماثل بالنسبة ل X، تماثل
+
+527
+00:54:32,110 --> 00:54:36,710
+بالنسبة ل Y، تماثل كذلك بالنسبة لل origin. هذه
+
+528
+00:54:36,710 --> 00:54:45,060
+نمرة B، نمرة Cنمرى C هي المحاولة هي θ تساوي zero و
+
+529
+00:54:45,060 --> 00:54:52,360
+θ تساوي باي على اتنين فالعلي كوصين يبقى فيه تمثل
+
+530
+00:54:52,360 --> 00:54:57,240
+بالنسبة لمح و ركز يبقى هاي ورقة و يتيجي لك ورقة
+
+531
+00:54:57,240 --> 00:55:04,260
+تانية هنا و ورقة تالتة هنا اخر حاجة نمرى D نمرى D
+
+532
+00:55:04,260 --> 00:55:13,490
+يبقى هاي ورقة هيك و هاي ورقة هيكوهذه هيك وهذه هيك
+
+533
+00:55:13,490 --> 00:55:20,130
+طبعا هنا تمثل فقط بالنسبة ل Y هنا تمثل فقط بالنسبة
+
+534
+00:55:20,130 --> 00:55:26,970
+ل X طيب هذه نمرة C وهذه نمرة D الملاحظة الأخيرة
+
+535
+00:55:26,970 --> 00:55:30,670
+اللي بدي أقولها و أطلعوا فيها كويس لما كان عندي
+
+536
+00:55:30,670 --> 00:55:37,780
+Sin 2θ أو Cos 2θ بقال عندي كم ورقةأربعة ورقات يعني
+
+537
+00:55:37,780 --> 00:55:41,200
+لو كان cosine أربعة ثيتا أو cosine أربعة ثيتا بدي
+
+538
+00:55:41,200 --> 00:55:45,700
+يطلع عندي قداش تمان ورقات يعني إذا الرقم اللي
+
+539
+00:55:45,700 --> 00:55:51,220
+مضروب في ثيتا رقما زوجيا فعدل ورقات مضاعفة هذا
+
+540
+00:55:51,220 --> 00:55:55,750
+الرقمأما إن كان فردي تلاتة خمسة سبعة تسعة أحداث
+
+541
+00:55:55,750 --> 00:56:00,490
+فعدد الورقات يسوى عدد الرقم الفردي اللي موجود
+
+542
+00:56:00,490 --> 00:56:04,890
+عندنا لحد هنا انتهى ال section وعليكم أرقام
+
+543
+00:56:04,890 --> 00:56:14,930
+المسائل اللي هو exercises أحد عشر أربعة المسائل
+
+544
+00:56:14,930 --> 00:56:20,770
+التالية من واحد لخمسة وعشرين الأد
+
+545
+00:56:25,040 --> 00:56:27,680
+المرة الجاية ان شاء الله بنبدأ ال section الجديد
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..06c776be84dd8fca52ce0eef193345d25e39fa02
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2374, "start": 9.08, "end": 23.74, "text": "بسم الله الرحمن الرحيم المرة الماضية بدأنا في section geographical in polar coordinates الرسم في الإحداثيات القطبية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 9673, 46958, 10632, 47525, 10721, 8315, 8978, 22610, 313, 39872, 294, 12367, 21056, 34892, 38251, 8978, 33688, 24401, 5718, 104, 1829, 9307, 25062, 9566, 3555, 10632], "avg_logprob": -0.2224506649531816, "compression_ratio": 1.3409090909090908, "no_speech_prob": 0.0, "words": [{"start": 9.08, "end": 10.48, "word": "بسم", "probability": 0.79736328125}, {"start": 10.48, "end": 10.74, "word": " الله", "probability": 0.966796875}, {"start": 10.74, "end": 11.2, "word": " الرحمن", "probability": 0.9765625}, {"start": 11.2, "end": 11.74, "word": " الرحيم", "probability": 0.9930013020833334}, {"start": 11.74, "end": 13.32, "word": " المرة", "probability": 0.857177734375}, {"start": 13.32, "end": 13.92, "word": " الماضية", "probability": 0.9903971354166666}, {"start": 13.92, "end": 14.86, "word": " بدأنا", "probability": 0.974609375}, {"start": 14.86, "end": 15.34, "word": " في", "probability": 0.89404296875}, {"start": 15.34, "end": 16.42, "word": " section", "probability": 0.524688720703125}, {"start": 16.42, "end": 17.38, "word": " geographical", "probability": 0.04254150390625}, {"start": 17.38, "end": 18.56, "word": " in", "probability": 0.51123046875}, {"start": 18.56, "end": 19.3, "word": " polar", "probability": 0.88818359375}, {"start": 19.3, "end": 20.16, "word": " coordinates", "probability": 0.955078125}, {"start": 20.16, "end": 21.18, "word": " الرسم", "probability": 0.957275390625}, {"start": 21.18, "end": 21.38, "word": " في", "probability": 0.9521484375}, {"start": 21.38, "end": 22.54, "word": " الإحداثيات", "probability": 0.9576009114583334}, {"start": 22.54, "end": 23.74, "word": " القطبية", "probability": 0.983642578125}], "temperature": 1.0}, {"id": 2, "seek": 4232, "start": 24.28, "end": 42.32, "text": "وقلنا في نقطتين نظري النقطة الأولى دراسة اللي هي ال symmetry التماثل بالنسبة للمحاور والنقطة التانية هي الاسلوب تبع الملحنة يبقى قولنا ال symmetry هذا هو استبدال لمين للمعلومات اللي كنا ناخدها في calculus A", "tokens": [2407, 4587, 1211, 8315, 8978, 8717, 47432, 2655, 9957, 8717, 19913, 16572, 28239, 47432, 3660, 16247, 12610, 7578, 11778, 23557, 3794, 3660, 13672, 1829, 39896, 2423, 25440, 16712, 2304, 5718, 104, 1211, 20666, 1863, 35457, 3660, 5296, 19528, 5016, 995, 13063, 16070, 1863, 47432, 3660, 16712, 7649, 10632, 39896, 2423, 32277, 1211, 37746, 6055, 3555, 3615, 9673, 1211, 5016, 1863, 3660, 7251, 3555, 4587, 7578, 12174, 12610, 8315, 2423, 25440, 23758, 31439, 44713, 44510, 6027, 32767, 9957, 5296, 19528, 30241, 20498, 9307, 13672, 1829, 9122, 8315, 8717, 47283, 3215, 11296, 8978, 33400, 316], "avg_logprob": -0.21293218418004664, "compression_ratio": 1.765, "no_speech_prob": 0.0, "words": [{"start": 24.28, "end": 24.92, "word": "وقلنا", "probability": 0.594085693359375}, {"start": 24.92, "end": 25.1, "word": " في", "probability": 0.8818359375}, {"start": 25.1, "end": 25.72, "word": " نقطتين", "probability": 0.83758544921875}, {"start": 25.72, "end": 26.14, "word": " نظري", "probability": 0.8369140625}, {"start": 26.14, "end": 26.7, "word": " النقطة", "probability": 0.8347981770833334}, {"start": 26.7, "end": 27.0, "word": " الأولى", "probability": 0.9410807291666666}, {"start": 27.0, "end": 27.42, "word": " دراسة", "probability": 0.7529296875}, {"start": 27.42, "end": 27.54, "word": " اللي", "probability": 0.54638671875}, {"start": 27.54, "end": 27.66, "word": " هي", "probability": 0.9111328125}, {"start": 27.66, "end": 27.82, "word": " ال", "probability": 0.72998046875}, {"start": 27.82, "end": 28.36, "word": " symmetry", "probability": 0.75830078125}, {"start": 28.36, "end": 29.56, "word": " التماثل", "probability": 0.84560546875}, {"start": 29.56, "end": 30.12, "word": " بالنسبة", "probability": 0.99072265625}, {"start": 30.12, "end": 30.86, "word": " للمحاور", "probability": 0.88564453125}, {"start": 30.86, "end": 31.44, "word": " والنقطة", "probability": 0.9136962890625}, {"start": 31.44, "end": 31.9, "word": " التانية", "probability": 0.95654296875}, {"start": 31.9, "end": 32.44, "word": " هي", "probability": 0.966796875}, {"start": 32.44, "end": 33.58, "word": " الاسلوب", "probability": 0.732757568359375}, {"start": 33.58, "end": 34.38, "word": " تبع", "probability": 0.9274088541666666}, {"start": 34.38, "end": 35.28, "word": " الملحنة", "probability": 0.90849609375}, {"start": 35.28, "end": 35.9, "word": " يبقى", "probability": 0.7940673828125}, {"start": 35.9, "end": 36.26, "word": " قولنا", "probability": 0.8683268229166666}, {"start": 36.26, "end": 36.52, "word": " ال", "probability": 0.5849609375}, {"start": 36.52, "end": 36.98, "word": " symmetry", "probability": 0.92578125}, {"start": 36.98, "end": 37.44, "word": " هذا", "probability": 0.80517578125}, {"start": 37.44, "end": 37.76, "word": " هو", "probability": 0.97509765625}, {"start": 37.76, "end": 38.94, "word": " استبدال", "probability": 0.96484375}, {"start": 38.94, "end": 39.76, "word": " لمين", "probability": 0.6322021484375}, {"start": 39.76, "end": 40.48, "word": " للمعلومات", "probability": 0.9}, {"start": 40.48, "end": 40.64, "word": " اللي", "probability": 0.83837890625}, {"start": 40.64, "end": 40.86, "word": " كنا", "probability": 0.9677734375}, {"start": 40.86, "end": 41.3, "word": " ناخدها", "probability": 0.947021484375}, {"start": 41.3, "end": 41.48, "word": " في", "probability": 0.904296875}, {"start": 41.48, "end": 41.94, "word": " calculus", "probability": 0.68310546875}, {"start": 41.94, "end": 42.32, "word": " A", "probability": 0.39453125}], "temperature": 1.0}, {"id": 3, "seek": 6212, "start": 42.68, "end": 62.12, "text": "على الـ Cartesian coordinates الـ local maximum و ال local minimum و ال concave up و ال concave down و ال inflection poles هذا كله هنستبدله بمين بالسمتري عندنا في الرسم الأول مثال من ناحية الرسم بيقول sketch the graph of the curve", "tokens": [3615, 23942, 2423, 39184, 22478, 42434, 21056, 2423, 39184, 2654, 6674, 4032, 2423, 2654, 7285, 4032, 2423, 1588, 946, 493, 4032, 2423, 1588, 946, 760, 4032, 2423, 1536, 5450, 24760, 23758, 28242, 3224, 8032, 1863, 14851, 44510, 43761, 4724, 2304, 9957, 20666, 38251, 2655, 16572, 43242, 8315, 8978, 34892, 38251, 16247, 12610, 50113, 6027, 9154, 8717, 39319, 10632, 34892, 38251, 4724, 1829, 39648, 12325, 264, 4295, 295, 264, 7605], "avg_logprob": -0.3234375, "compression_ratio": 1.5671641791044777, "no_speech_prob": 0.0, "words": [{"start": 42.68, "end": 43.08, "word": "على", "probability": 0.4788818359375}, {"start": 43.08, "end": 43.26, "word": " الـ", "probability": 0.5462646484375}, {"start": 43.26, "end": 43.86, "word": " Cartesian", "probability": 0.6805419921875}, {"start": 43.86, "end": 44.64, "word": " coordinates", "probability": 0.515625}, {"start": 44.64, "end": 44.98, "word": " الـ", "probability": 0.654541015625}, {"start": 44.98, "end": 45.2, "word": " local", "probability": 0.400146484375}, {"start": 45.2, "end": 45.74, "word": " maximum", "probability": 0.95751953125}, {"start": 45.74, "end": 45.96, "word": " و", "probability": 0.435302734375}, {"start": 45.96, "end": 46.02, "word": " ال", "probability": 0.8515625}, {"start": 46.02, "end": 46.26, "word": " local", "probability": 0.5224609375}, {"start": 46.26, "end": 46.68, "word": " minimum", "probability": 0.9794921875}, {"start": 46.68, "end": 46.86, "word": " و", "probability": 0.451904296875}, {"start": 46.86, "end": 46.92, "word": " ال", "probability": 0.94482421875}, {"start": 46.92, "end": 47.38, "word": " concave", "probability": 0.77783203125}, {"start": 47.38, "end": 47.64, "word": " up", "probability": 0.94482421875}, {"start": 47.64, "end": 47.78, "word": " و", "probability": 0.97216796875}, {"start": 47.78, "end": 47.86, "word": " ال", "probability": 0.9482421875}, {"start": 47.86, "end": 48.34, "word": " concave", "probability": 0.956298828125}, {"start": 48.34, "end": 48.82, "word": " down", "probability": 0.89013671875}, {"start": 48.82, "end": 49.3, "word": " و", "probability": 0.8154296875}, {"start": 49.3, "end": 49.4, "word": " ال", "probability": 0.857421875}, {"start": 49.4, "end": 49.88, "word": " inflection", "probability": 0.80712890625}, {"start": 49.88, "end": 50.18, "word": " poles", "probability": 0.340087890625}, {"start": 50.18, "end": 50.36, "word": " هذا", "probability": 0.2015380859375}, {"start": 50.36, "end": 50.9, "word": " كله", "probability": 0.9462890625}, {"start": 50.9, "end": 51.8, "word": " هنستبدله", "probability": 0.7854248046875}, {"start": 51.8, "end": 52.3, "word": " بمين", "probability": 0.7672526041666666}, {"start": 52.3, "end": 53.7, "word": " بالسمتري", "probability": 0.703125}, {"start": 53.7, "end": 54.52, "word": " عندنا", "probability": 0.753662109375}, {"start": 54.52, "end": 54.86, "word": " في", "probability": 0.73291015625}, {"start": 54.86, "end": 55.26, "word": " الرسم", "probability": 0.979248046875}, {"start": 55.26, "end": 57.62, "word": " الأول", "probability": 0.60498046875}, {"start": 57.62, "end": 58.22, "word": " مثال", "probability": 0.843994140625}, {"start": 58.22, "end": 58.42, "word": " من", "probability": 0.974609375}, {"start": 58.42, "end": 58.74, "word": " ناحية", "probability": 0.8494466145833334}, {"start": 58.74, "end": 59.18, "word": " الرسم", "probability": 0.986328125}, {"start": 59.18, "end": 59.7, "word": " بيقول", "probability": 0.87890625}, {"start": 59.7, "end": 60.24, "word": " sketch", "probability": 0.72998046875}, {"start": 60.24, "end": 60.56, "word": " the", "probability": 0.869140625}, {"start": 60.56, "end": 61.14, "word": " graph", "probability": 0.939453125}, {"start": 61.14, "end": 61.42, "word": " of", "probability": 0.97607421875}, {"start": 61.42, "end": 61.72, "word": " the", "probability": 0.69921875}, {"start": 61.72, "end": 62.12, "word": " curve", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 4, "seek": 8187, "start": 62.77, "end": 81.87, "text": "بارتساوة اتنين زاد اربعة كوساين ثيتا هذا المنحنى منسمي منحنى اللمسن وال inner lob يعني بعروة داخلية inner lob عروة داخلية طب نشوف كيف بدنا نرسمها مش هنرسمها ده نروح نبحث ال symmetry", "tokens": [3555, 9640, 2655, 3794, 995, 2407, 3660, 1975, 2655, 1863, 9957, 30767, 18513, 1975, 25513, 27884, 9122, 41779, 995, 9957, 38637, 36081, 995, 23758, 9673, 1863, 5016, 1863, 7578, 9154, 38251, 1829, 9154, 5016, 1863, 7578, 13672, 2304, 3794, 1863, 16070, 7284, 14366, 37495, 22653, 45030, 2288, 2407, 3660, 11778, 47283, 1211, 10632, 7284, 14366, 6225, 32887, 3660, 11778, 47283, 1211, 10632, 23032, 3555, 8717, 8592, 38688, 9122, 33911, 47525, 8315, 8717, 2288, 38251, 11296, 37893, 8032, 1863, 2288, 38251, 11296, 11778, 3224, 8717, 32887, 5016, 8717, 49628, 12984, 2423, 25440], "avg_logprob": -0.3113111328819524, "compression_ratio": 1.7191011235955056, "no_speech_prob": 0.0, "words": [{"start": 62.77, "end": 63.59, "word": "بارتساوة", "probability": 0.5628400530133929}, {"start": 63.59, "end": 63.95, "word": " اتنين", "probability": 0.8404541015625}, {"start": 63.95, "end": 64.41, "word": " زاد", "probability": 0.4306640625}, {"start": 64.41, "end": 64.87, "word": " اربعة", "probability": 0.9225260416666666}, {"start": 64.87, "end": 65.57, "word": " كوساين", "probability": 0.68359375}, {"start": 65.57, "end": 66.15, "word": " ثيتا", "probability": 0.7858072916666666}, {"start": 66.15, "end": 66.89, "word": " هذا", "probability": 0.53857421875}, {"start": 66.89, "end": 67.79, "word": " المنحنى", "probability": 0.7619140625}, {"start": 67.79, "end": 68.87, "word": " منسمي", "probability": 0.5998942057291666}, {"start": 68.87, "end": 69.49, "word": " منحنى", "probability": 0.9432373046875}, {"start": 69.49, "end": 70.07, "word": " اللمسن", "probability": 0.768310546875}, {"start": 70.07, "end": 70.25, "word": " وال", "probability": 0.462890625}, {"start": 70.25, "end": 70.81, "word": " inner", "probability": 0.52587890625}, {"start": 70.81, "end": 71.33, "word": " lob", "probability": 0.490478515625}, {"start": 71.33, "end": 71.81, "word": " يعني", "probability": 0.85498046875}, {"start": 71.81, "end": 72.51, "word": " بعروة", "probability": 0.63775634765625}, {"start": 72.51, "end": 73.45, "word": " داخلية", "probability": 0.99072265625}, {"start": 73.45, "end": 74.11, "word": " inner", "probability": 0.64111328125}, {"start": 74.11, "end": 74.77, "word": " lob", "probability": 0.92724609375}, {"start": 74.77, "end": 75.43, "word": " عروة", "probability": 0.84912109375}, {"start": 75.43, "end": 76.41, "word": " داخلية", "probability": 0.989990234375}, {"start": 76.41, "end": 77.23, "word": " طب", "probability": 0.767333984375}, {"start": 77.23, "end": 77.69, "word": " نشوف", "probability": 0.87744140625}, {"start": 77.69, "end": 78.03, "word": " كيف", "probability": 0.964599609375}, {"start": 78.03, "end": 78.55, "word": " بدنا", "probability": 0.839111328125}, {"start": 78.55, "end": 79.39, "word": " نرسمها", "probability": 0.9224853515625}, {"start": 79.39, "end": 79.57, "word": " مش", "probability": 0.34619140625}, {"start": 79.57, "end": 80.23, "word": " هنرسمها", "probability": 0.802099609375}, {"start": 80.23, "end": 80.35, "word": " ده", "probability": 0.6558837890625}, {"start": 80.35, "end": 80.59, "word": " نروح", "probability": 0.736572265625}, {"start": 80.59, "end": 81.11, "word": " نبحث", "probability": 0.9850260416666666}, {"start": 81.11, "end": 81.35, "word": " ال", "probability": 0.63720703125}, {"start": 81.35, "end": 81.87, "word": " symmetry", "probability": 0.94921875}], "temperature": 1.0}, {"id": 5, "seek": 9271, "start": 82.47, "end": 92.71, "text": "يبقى أول شغلة بدي أجي أخد ال symmetry تبع هذا الملحنة يبقى بدنا نبحث ال symmetry", "tokens": [1829, 3555, 4587, 7578, 5551, 12610, 13412, 17082, 37977, 4724, 16254, 5551, 7435, 1829, 5551, 9778, 3215, 2423, 25440, 6055, 3555, 3615, 23758, 9673, 1211, 5016, 1863, 3660, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 49628, 12984, 2423, 25440], "avg_logprob": -0.25722655579447745, "compression_ratio": 1.2772277227722773, "no_speech_prob": 0.0, "words": [{"start": 82.47, "end": 83.07, "word": "يبقى", "probability": 0.69842529296875}, {"start": 83.07, "end": 83.49, "word": " أول", "probability": 0.822998046875}, {"start": 83.49, "end": 83.97, "word": " شغلة", "probability": 0.7267252604166666}, {"start": 83.97, "end": 84.25, "word": " بدي", "probability": 0.6090087890625}, {"start": 84.25, "end": 84.63, "word": " أجي", "probability": 0.53759765625}, {"start": 84.63, "end": 85.73, "word": " أخد", "probability": 0.8680013020833334}, {"start": 85.73, "end": 86.05, "word": " ال", "probability": 0.83935546875}, {"start": 86.05, "end": 86.77, "word": " symmetry", "probability": 0.83642578125}, {"start": 86.77, "end": 87.43, "word": " تبع", "probability": 0.9708658854166666}, {"start": 87.43, "end": 88.01, "word": " هذا", "probability": 0.927734375}, {"start": 88.01, "end": 89.07, "word": " الملحنة", "probability": 0.92607421875}, {"start": 89.07, "end": 90.43, "word": " يبقى", "probability": 0.891845703125}, {"start": 90.43, "end": 90.79, "word": " بدنا", "probability": 0.669921875}, {"start": 90.79, "end": 91.51, "word": " نبحث", "probability": 0.9881184895833334}, {"start": 91.51, "end": 92.03, "word": " ال", "probability": 0.912109375}, {"start": 92.03, "end": 92.71, "word": " symmetry", "probability": 0.97119140625}], "temperature": 1.0}, {"id": 6, "seek": 12304, "start": 94.7, "end": 123.04, "text": "تمام؟ بدأجي للنقطة الأولى المنحنى بدأ أفحص هل هو متمثل بالنسبة لمحور X ولا لأ كتبنا المرة الماضية بشأن نشوفه متمثل بالنسبة لمحور X بدنا نشيل كل ثيتا ونحط مكانها سالب ثيتا يبقى بدأجي للمنحنى اتنين زائد اربعة كوساين لسالب ثيتا ال cosine function even ولا odd؟", "tokens": [2655, 15042, 2304, 22807, 47525, 10721, 7435, 1829, 24976, 1863, 47432, 3660, 16247, 12610, 7578, 9673, 1863, 5016, 1863, 7578, 47525, 10721, 5551, 5172, 5016, 9381, 8032, 1211, 31439, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 49429, 5296, 10721, 9122, 2655, 3555, 8315, 9673, 25720, 9673, 46958, 10632, 4724, 8592, 33456, 8717, 8592, 38688, 3224, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 47525, 8315, 8717, 8592, 26895, 28242, 38637, 36081, 995, 4032, 1863, 5016, 9566, 3714, 41361, 11296, 8608, 6027, 3555, 38637, 36081, 995, 7251, 3555, 4587, 7578, 47525, 10721, 7435, 1829, 5296, 19528, 1863, 5016, 1863, 7578, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 1975, 25513, 27884, 9122, 41779, 995, 9957, 5296, 3794, 6027, 3555, 38637, 36081, 995, 2423, 23565, 2445, 754, 49429, 7401, 22807], "avg_logprob": -0.19240419011916557, "compression_ratio": 1.8619246861924685, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 94.7, "end": 95.56, "word": "تمام؟", "probability": 0.5400238037109375}, {"start": 95.56, "end": 96.3, "word": " بدأجي", "probability": 0.521514892578125}, {"start": 96.3, "end": 96.96, "word": " للنقطة", "probability": 0.8746337890625}, {"start": 96.96, "end": 97.5, "word": " الأولى", "probability": 0.9519856770833334}, {"start": 97.5, "end": 98.58, "word": " المنحنى", "probability": 0.8572265625}, {"start": 98.58, "end": 98.9, "word": " بدأ", "probability": 0.5576171875}, {"start": 98.9, "end": 99.38, "word": " أفحص", "probability": 0.7784423828125}, {"start": 99.38, "end": 99.68, "word": " هل", "probability": 0.945068359375}, {"start": 99.68, "end": 99.9, "word": " هو", "probability": 0.96923828125}, {"start": 99.9, "end": 100.56, "word": " متمثل", "probability": 0.9305419921875}, {"start": 100.56, "end": 101.06, "word": " بالنسبة", "probability": 0.992431640625}, {"start": 101.06, "end": 101.6, "word": " لمحور", "probability": 0.978515625}, {"start": 101.6, "end": 102.04, "word": " X", "probability": 0.50537109375}, {"start": 102.04, "end": 102.34, "word": " ولا", "probability": 0.83740234375}, {"start": 102.34, "end": 102.7, "word": " لأ", "probability": 0.73876953125}, {"start": 102.7, "end": 103.68, "word": " كتبنا", "probability": 0.9381103515625}, {"start": 103.68, "end": 104.08, "word": " المرة", "probability": 0.96875}, {"start": 104.08, "end": 104.76, "word": " الماضية", "probability": 0.9939778645833334}, {"start": 104.76, "end": 105.5, "word": " بشأن", "probability": 0.6428629557291666}, {"start": 105.5, "end": 105.9, "word": " نشوفه", "probability": 0.9285888671875}, {"start": 105.9, "end": 106.4, "word": " متمثل", "probability": 0.9783935546875}, {"start": 106.4, "end": 106.82, "word": " بالنسبة", "probability": 0.994873046875}, {"start": 106.82, "end": 107.28, "word": " لمحور", "probability": 0.9889322916666666}, {"start": 107.28, "end": 107.54, "word": " X", "probability": 0.98291015625}, {"start": 107.54, "end": 107.92, "word": " بدنا", "probability": 0.7470703125}, {"start": 107.92, "end": 108.32, "word": " نشيل", "probability": 0.9744466145833334}, {"start": 108.32, "end": 108.66, "word": " كل", "probability": 0.95947265625}, {"start": 108.66, "end": 109.02, "word": " ثيتا", "probability": 0.6893717447916666}, {"start": 109.02, "end": 109.42, "word": " ونحط", "probability": 0.8829345703125}, {"start": 109.42, "end": 110.12, "word": " مكانها", "probability": 0.9886067708333334}, {"start": 110.12, "end": 111.62, "word": " سالب", "probability": 0.8181966145833334}, {"start": 111.62, "end": 112.18, "word": " ثيتا", "probability": 0.9440104166666666}, {"start": 112.18, "end": 112.84, "word": " يبقى", "probability": 0.9503173828125}, {"start": 112.84, "end": 113.3, "word": " بدأجي", "probability": 0.902099609375}, {"start": 113.3, "end": 114.16, "word": " للمنحنى", "probability": 0.972412109375}, {"start": 114.16, "end": 114.74, "word": " اتنين", "probability": 0.8265380859375}, {"start": 114.74, "end": 115.5, "word": " زائد", "probability": 0.94873046875}, {"start": 115.5, "end": 116.24, "word": " اربعة", "probability": 0.7913411458333334}, {"start": 116.24, "end": 117.34, "word": " كوساين", "probability": 0.65625}, {"start": 117.34, "end": 118.32, "word": " لسالب", "probability": 0.9267578125}, {"start": 118.32, "end": 119.12, "word": " ثيتا", "probability": 0.9484049479166666}, {"start": 119.12, "end": 120.34, "word": " ال", "probability": 0.890625}, {"start": 120.34, "end": 120.84, "word": " cosine", "probability": 0.71142578125}, {"start": 120.84, "end": 121.62, "word": " function", "probability": 0.95263671875}, {"start": 121.62, "end": 121.94, "word": " even", "probability": 0.830078125}, {"start": 121.94, "end": 122.26, "word": " ولا", "probability": 0.77783203125}, {"start": 122.26, "end": 123.04, "word": " odd؟", "probability": 0.83544921875}], "temperature": 1.0}, {"id": 7, "seek": 15209, "start": 123.49, "end": 152.09, "text": "even يبقى cosine لسالب ثيتا هو cosine ثيتا يبقى يساوي اتنين اتنين زائد اربعة في cosine الزاوية ثيتا طب هذا مش هو المنحنى الأصلي اللي فوق يبقى نفس المنحنى الأصلي يبقى معنى هذا الكلام ان المنحنى هذا متماثل بالنسبة لمحور X يبقى باجي بقوله هنا graph", "tokens": [27170, 7251, 3555, 4587, 7578, 23565, 5296, 3794, 6027, 3555, 38637, 36081, 995, 31439, 23565, 38637, 36081, 995, 7251, 3555, 4587, 7578, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 1975, 25513, 27884, 8978, 23565, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 23032, 3555, 23758, 37893, 31439, 9673, 1863, 5016, 1863, 7578, 16247, 9381, 20292, 13672, 1829, 6156, 30543, 7251, 3555, 4587, 7578, 8717, 36178, 9673, 1863, 5016, 1863, 7578, 16247, 9381, 20292, 7251, 3555, 4587, 7578, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 16472, 9673, 1863, 5016, 1863, 7578, 23758, 44650, 15042, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 4295], "avg_logprob": -0.17918347423115083, "compression_ratio": 1.9395348837209303, "no_speech_prob": 0.0, "words": [{"start": 123.49, "end": 124.03, "word": "even", "probability": 0.075927734375}, {"start": 124.03, "end": 124.47, "word": " يبقى", "probability": 0.90087890625}, {"start": 124.47, "end": 124.93, "word": " cosine", "probability": 0.339111328125}, {"start": 124.93, "end": 125.75, "word": " لسالب", "probability": 0.6676025390625}, {"start": 125.75, "end": 126.29, "word": " ثيتا", "probability": 0.5337727864583334}, {"start": 126.29, "end": 126.71, "word": " هو", "probability": 0.92236328125}, {"start": 126.71, "end": 127.75, "word": " cosine", "probability": 0.8095703125}, {"start": 127.75, "end": 128.33, "word": " ثيتا", "probability": 0.8391927083333334}, {"start": 128.33, "end": 129.05, "word": " يبقى", "probability": 0.981689453125}, {"start": 129.05, "end": 129.69, "word": " يساوي", "probability": 0.8836669921875}, {"start": 129.69, "end": 130.89, "word": " اتنين", "probability": 0.9478759765625}, {"start": 130.89, "end": 132.01, "word": " اتنين", "probability": 0.9642333984375}, {"start": 132.01, "end": 133.37, "word": " زائد", "probability": 0.8758138020833334}, {"start": 133.37, "end": 134.37, "word": " اربعة", "probability": 0.87109375}, {"start": 134.37, "end": 134.75, "word": " في", "probability": 0.94921875}, {"start": 134.75, "end": 135.63, "word": " cosine", "probability": 0.68115234375}, {"start": 135.63, "end": 136.67, "word": " الزاوية", "probability": 0.9498046875}, {"start": 136.67, "end": 137.53, "word": " ثيتا", "probability": 0.85693359375}, {"start": 137.53, "end": 138.03, "word": " طب", "probability": 0.80859375}, {"start": 138.03, "end": 138.37, "word": " هذا", "probability": 0.8349609375}, {"start": 138.37, "end": 138.63, "word": " مش", "probability": 0.93798828125}, {"start": 138.63, "end": 138.83, "word": " هو", "probability": 0.97509765625}, {"start": 138.83, "end": 139.47, "word": " المنحنى", "probability": 0.791796875}, {"start": 139.47, "end": 140.01, "word": " الأصلي", "probability": 0.9021809895833334}, {"start": 140.01, "end": 140.31, "word": " اللي", "probability": 0.861083984375}, {"start": 140.31, "end": 140.71, "word": " فوق", "probability": 0.93603515625}, {"start": 140.71, "end": 141.61, "word": " يبقى", "probability": 0.9674072265625}, {"start": 141.61, "end": 141.99, "word": " نفس", "probability": 0.99609375}, {"start": 141.99, "end": 142.79, "word": " المنحنى", "probability": 0.9912109375}, {"start": 142.79, "end": 143.43, "word": " الأصلي", "probability": 0.9620768229166666}, {"start": 143.43, "end": 144.13, "word": " يبقى", "probability": 0.97802734375}, {"start": 144.13, "end": 144.53, "word": " معنى", "probability": 0.8701171875}, {"start": 144.53, "end": 144.79, "word": " هذا", "probability": 0.9697265625}, {"start": 144.79, "end": 145.41, "word": " الكلام", "probability": 0.9640299479166666}, {"start": 145.41, "end": 145.75, "word": " ان", "probability": 0.65234375}, {"start": 145.75, "end": 146.39, "word": " المنحنى", "probability": 0.9828125}, {"start": 146.39, "end": 146.69, "word": " هذا", "probability": 0.84375}, {"start": 146.69, "end": 147.71, "word": " متماثل", "probability": 0.8316650390625}, {"start": 147.71, "end": 148.41, "word": " بالنسبة", "probability": 0.9503173828125}, {"start": 148.41, "end": 149.03, "word": " لمحور", "probability": 0.9422200520833334}, {"start": 149.03, "end": 149.39, "word": " X", "probability": 0.623046875}, {"start": 149.39, "end": 150.19, "word": " يبقى", "probability": 0.9835205078125}, {"start": 150.19, "end": 150.57, "word": " باجي", "probability": 0.6979166666666666}, {"start": 150.57, "end": 151.21, "word": " بقوله", "probability": 0.72021484375}, {"start": 151.21, "end": 151.55, "word": " هنا", "probability": 0.97607421875}, {"start": 151.55, "end": 152.09, "word": " graph", "probability": 0.2166748046875}], "temperature": 1.0}, {"id": 8, "seek": 16102, "start": 155.2, "end": 161.02, "text": "اسمها symmetric about", "tokens": [32277, 2304, 11296, 32330, 466], "avg_logprob": -1.0338541865348816, "compression_ratio": 0.7428571428571429, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 155.2, "end": 156.6, "word": "اسمها", "probability": 0.5447489420572916}, {"start": 156.6, "end": 156.62, "word": " symmetric", "probability": 0.265380859375}, {"start": 156.62, "end": 161.02, "word": " about", "probability": 0.583984375}], "temperature": 1.0}, {"id": 9, "seek": 18394, "start": 162.9, "end": 183.94, "text": "هذا X Axis الملحنة متمثل بالنسبة لمحور X يعني لما نرسم النصب اللي أعلى محور X بيكون زي النصب اللي أسفة لمحور X النقطة الثانية، بدنا نشوف هل هناك تمثل بالنسبة لمحور Y ولا لأ، كده لما نشيل كل θيتا ونحط مكانها", "tokens": [3224, 15730, 1783, 20118, 271, 9673, 1211, 5016, 1863, 3660, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 37495, 22653, 5296, 15042, 8717, 2288, 38251, 28239, 9381, 3555, 13672, 1829, 5551, 3615, 23942, 3714, 5016, 13063, 1783, 4724, 1829, 30544, 30767, 1829, 28239, 9381, 3555, 13672, 1829, 5551, 3794, 5172, 3660, 32767, 5016, 13063, 1783, 28239, 47432, 3660, 6024, 104, 7649, 10632, 12399, 47525, 8315, 8717, 8592, 38688, 8032, 1211, 34105, 4117, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 398, 49429, 5296, 10721, 12399, 9122, 3215, 3224, 5296, 15042, 8717, 8592, 26895, 28242, 12622, 36081, 995, 4032, 1863, 5016, 9566, 3714, 41361, 11296], "avg_logprob": -0.24619931841755774, "compression_ratio": 1.8564102564102565, "no_speech_prob": 0.0, "words": [{"start": 162.9, "end": 163.78, "word": "هذا", "probability": 0.31951904296875}, {"start": 163.78, "end": 164.66, "word": " X", "probability": 0.343505859375}, {"start": 164.66, "end": 165.76, "word": " Axis", "probability": 0.652587890625}, {"start": 165.76, "end": 166.98, "word": " الملحنة", "probability": 0.807421875}, {"start": 166.98, "end": 167.64, "word": " متمثل", "probability": 0.9012451171875}, {"start": 167.64, "end": 168.12, "word": " بالنسبة", "probability": 0.9808349609375}, {"start": 168.12, "end": 168.52, "word": " لمحور", "probability": 0.9537760416666666}, {"start": 168.52, "end": 168.74, "word": " X", "probability": 0.96435546875}, {"start": 168.74, "end": 168.98, "word": " يعني", "probability": 0.833984375}, {"start": 168.98, "end": 169.24, "word": " لما", "probability": 0.793212890625}, {"start": 169.24, "end": 169.74, "word": " نرسم", "probability": 0.7476399739583334}, {"start": 169.74, "end": 170.38, "word": " النصب", "probability": 0.7574869791666666}, {"start": 170.38, "end": 170.6, "word": " اللي", "probability": 0.613037109375}, {"start": 170.6, "end": 170.98, "word": " أعلى", "probability": 0.94287109375}, {"start": 170.98, "end": 171.42, "word": " محور", "probability": 0.95263671875}, {"start": 171.42, "end": 171.78, "word": " X", "probability": 0.9931640625}, {"start": 171.78, "end": 172.7, "word": " بيكون", "probability": 0.6613362630208334}, {"start": 172.7, "end": 172.98, "word": " زي", "probability": 0.6446533203125}, {"start": 172.98, "end": 173.42, "word": " النصب", "probability": 0.9749348958333334}, {"start": 173.42, "end": 173.56, "word": " اللي", "probability": 0.9619140625}, {"start": 173.56, "end": 173.94, "word": " أسفة", "probability": 0.78369140625}, {"start": 173.94, "end": 174.52, "word": " لمحور", "probability": 0.8517252604166666}, {"start": 174.52, "end": 174.96, "word": " X", "probability": 0.99560546875}, {"start": 174.96, "end": 176.12, "word": " النقطة", "probability": 0.9287109375}, {"start": 176.12, "end": 177.26, "word": " الثانية،", "probability": 0.81435546875}, {"start": 177.26, "end": 177.6, "word": " بدنا", "probability": 0.666259765625}, {"start": 177.6, "end": 177.86, "word": " نشوف", "probability": 0.98046875}, {"start": 177.86, "end": 178.1, "word": " هل", "probability": 0.9296875}, {"start": 178.1, "end": 178.54, "word": " هناك", "probability": 0.96826171875}, {"start": 178.54, "end": 179.08, "word": " تمثل", "probability": 0.97802734375}, {"start": 179.08, "end": 179.56, "word": " بالنسبة", "probability": 0.9923095703125}, {"start": 179.56, "end": 180.14, "word": " لمحور", "probability": 0.9840494791666666}, {"start": 180.14, "end": 180.52, "word": " Y", "probability": 0.990234375}, {"start": 180.52, "end": 180.8, "word": " ولا", "probability": 0.8759765625}, {"start": 180.8, "end": 181.24, "word": " لأ،", "probability": 0.6551920572916666}, {"start": 181.24, "end": 181.46, "word": " كده", "probability": 0.6805013020833334}, {"start": 181.46, "end": 181.62, "word": " لما", "probability": 0.833251953125}, {"start": 181.62, "end": 182.26, "word": " نشيل", "probability": 0.9420572916666666}, {"start": 182.26, "end": 182.52, "word": " كل", "probability": 0.90966796875}, {"start": 182.52, "end": 182.88, "word": " θيتا", "probability": 0.4281412760416667}, {"start": 182.88, "end": 183.24, "word": " ونحط", "probability": 0.886962890625}, {"start": 183.24, "end": 183.94, "word": " مكانها", "probability": 0.9612630208333334}], "temperature": 1.0}, {"id": 10, "seek": 19276, "start": 184.74, "end": 192.76, "text": "باي ناقص ثيتا يبقى اتنين زائد اربعة كوصين لباي ناقص ثيتا", "tokens": [3555, 47302, 8717, 995, 4587, 9381, 38637, 36081, 995, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 1975, 25513, 27884, 9122, 2407, 9381, 9957, 5296, 3555, 47302, 8717, 995, 4587, 9381, 38637, 36081, 995], "avg_logprob": -0.22286183622322583, "compression_ratio": 1.3421052631578947, "no_speech_prob": 0.0, "words": [{"start": 184.74, "end": 185.3, "word": "باي", "probability": 0.373046875}, {"start": 185.3, "end": 185.86, "word": " ناقص", "probability": 0.9669189453125}, {"start": 185.86, "end": 186.32, "word": " ثيتا", "probability": 0.7058919270833334}, {"start": 186.32, "end": 187.4, "word": " يبقى", "probability": 0.921630859375}, {"start": 187.4, "end": 188.08, "word": " اتنين", "probability": 0.8990478515625}, {"start": 188.08, "end": 188.78, "word": " زائد", "probability": 0.7639973958333334}, {"start": 188.78, "end": 189.44, "word": " اربعة", "probability": 0.88623046875}, {"start": 189.44, "end": 190.46, "word": " كوصين", "probability": 0.6842041015625}, {"start": 190.46, "end": 191.34, "word": " لباي", "probability": 0.71923828125}, {"start": 191.34, "end": 192.22, "word": " ناقص", "probability": 0.9945068359375}, {"start": 192.22, "end": 192.76, "word": " ثيتا", "probability": 0.9464518229166666}], "temperature": 1.0}, {"id": 11, "seek": 22333, "start": 193.35, "end": 223.33, "text": "يبقى هذه تساوي اتنين زائد اربعة فين هذه بيدفكها بوسطة حساب المثلثات يبقى cosine by cosine theta زائد sine by sine theta sine by ب zero cosine مية و تمانين بسالب واحد يبقى صلة المثلة هي اتنين ناقص اربعة cosine الزاوية ثيتا يبقى هل هذا اه؟", "tokens": [1829, 3555, 4587, 7578, 29538, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 1975, 25513, 27884, 6156, 9957, 29538, 4724, 25708, 5172, 4117, 11296, 4724, 41779, 9566, 3660, 11331, 3794, 16758, 9673, 12984, 1211, 12984, 9307, 7251, 3555, 4587, 7578, 23565, 538, 23565, 9725, 30767, 16373, 3215, 18609, 538, 18609, 9725, 18609, 538, 4724, 4018, 23565, 3714, 10632, 4032, 46811, 7649, 9957, 4724, 3794, 6027, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 20328, 37977, 9673, 12984, 37977, 39896, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 1975, 25513, 27884, 23565, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 7251, 3555, 4587, 7578, 8032, 1211, 23758, 1975, 3224, 22807], "avg_logprob": -0.2262834838724562, "compression_ratio": 1.865, "no_speech_prob": 0.00899505615234375, "words": [{"start": 193.35, "end": 193.79, "word": "يبقى", "probability": 0.8602294921875}, {"start": 193.79, "end": 194.13, "word": " هذه", "probability": 0.33154296875}, {"start": 194.13, "end": 195.03, "word": " تساوي", "probability": 0.9188232421875}, {"start": 195.03, "end": 196.11, "word": " اتنين", "probability": 0.9254150390625}, {"start": 196.11, "end": 196.83, "word": " زائد", "probability": 0.87060546875}, {"start": 196.83, "end": 197.53, "word": " اربعة", "probability": 0.8606770833333334}, {"start": 197.53, "end": 197.99, "word": " فين", "probability": 0.5926513671875}, {"start": 197.99, "end": 198.95, "word": " هذه", "probability": 0.487060546875}, {"start": 198.95, "end": 199.69, "word": " بيدفكها", "probability": 0.619873046875}, {"start": 199.69, "end": 200.35, "word": " بوسطة", "probability": 0.862548828125}, {"start": 200.35, "end": 200.75, "word": " حساب", "probability": 0.98388671875}, {"start": 200.75, "end": 201.95, "word": " المثلثات", "probability": 0.96083984375}, {"start": 201.95, "end": 202.85, "word": " يبقى", "probability": 0.9400634765625}, {"start": 202.85, "end": 203.57, "word": " cosine", "probability": 0.73681640625}, {"start": 203.57, "end": 204.37, "word": " by", "probability": 0.6142578125}, {"start": 204.37, "end": 205.03, "word": " cosine", "probability": 0.8955078125}, {"start": 205.03, "end": 205.91, "word": " theta", "probability": 0.481201171875}, {"start": 205.91, "end": 206.83, "word": " زائد", "probability": 0.9767252604166666}, {"start": 206.83, "end": 207.45, "word": " sine", "probability": 0.53515625}, {"start": 207.45, "end": 208.13, "word": " by", "probability": 0.98193359375}, {"start": 208.13, "end": 209.39, "word": " sine", "probability": 0.84619140625}, {"start": 209.39, "end": 210.19, "word": " theta", "probability": 0.873046875}, {"start": 210.19, "end": 211.05, "word": " sine", "probability": 0.68603515625}, {"start": 211.05, "end": 211.33, "word": " by", "probability": 0.97412109375}, {"start": 211.33, "end": 211.57, "word": " ب", "probability": 0.30078125}, {"start": 211.57, "end": 211.91, "word": " zero", "probability": 0.5341796875}, {"start": 211.91, "end": 212.45, "word": " cosine", "probability": 0.56884765625}, {"start": 212.45, "end": 212.85, "word": " مية", "probability": 0.760498046875}, {"start": 212.85, "end": 212.97, "word": " و", "probability": 0.53076171875}, {"start": 212.97, "end": 213.43, "word": " تمانين", "probability": 0.9710286458333334}, {"start": 213.43, "end": 214.11, "word": " بسالب", "probability": 0.8897705078125}, {"start": 214.11, "end": 214.49, "word": " واحد", "probability": 0.97998046875}, {"start": 214.49, "end": 215.37, "word": " يبقى", "probability": 0.9786376953125}, {"start": 215.37, "end": 215.81, "word": " صلة", "probability": 0.64111328125}, {"start": 215.81, "end": 216.45, "word": " المثلة", "probability": 0.7605794270833334}, {"start": 216.45, "end": 216.75, "word": " هي", "probability": 0.8369140625}, {"start": 216.75, "end": 217.37, "word": " اتنين", "probability": 0.98583984375}, {"start": 217.37, "end": 218.21, "word": " ناقص", "probability": 0.9766845703125}, {"start": 218.21, "end": 219.01, "word": " اربعة", "probability": 0.8899739583333334}, {"start": 219.01, "end": 219.73, "word": " cosine", "probability": 0.90869140625}, {"start": 219.73, "end": 220.39, "word": " الزاوية", "probability": 0.880615234375}, {"start": 220.39, "end": 220.91, "word": " ثيتا", "probability": 0.6627604166666666}, {"start": 220.91, "end": 221.73, "word": " يبقى", "probability": 0.9637451171875}, {"start": 221.73, "end": 222.05, "word": " هل", "probability": 0.96630859375}, {"start": 222.05, "end": 222.47, "word": " هذا", "probability": 0.908203125}, {"start": 222.47, "end": 223.33, "word": " اه؟", "probability": 0.58154296875}], "temperature": 1.0}, {"id": 12, "seek": 23312, "start": 224.62, "end": 233.12, "text": "يبقى لا تساوي R معناته ماعرفش يكون فيه tomato لأ بدنا نروح نجيب النقطة المكافئة لها", "tokens": [1829, 3555, 4587, 7578, 20193, 6055, 3794, 995, 45865, 497, 20449, 8315, 47395, 19446, 3615, 28480, 8592, 7251, 30544, 8978, 3224, 9288, 5296, 10721, 47525, 8315, 8717, 32887, 5016, 8717, 7435, 1829, 3555, 28239, 47432, 3660, 9673, 4117, 31845, 19986, 3660, 5296, 11296], "avg_logprob": -0.24431818181818182, "compression_ratio": 1.2100840336134453, "no_speech_prob": 0.0, "words": [{"start": 224.62, "end": 225.24, "word": "يبقى", "probability": 0.768798828125}, {"start": 225.24, "end": 225.48, "word": " لا", "probability": 0.394775390625}, {"start": 225.48, "end": 226.6, "word": " تساوي", "probability": 0.931884765625}, {"start": 226.6, "end": 227.0, "word": " R", "probability": 0.240478515625}, {"start": 227.0, "end": 228.08, "word": " معناته", "probability": 0.784912109375}, {"start": 228.08, "end": 228.68, "word": " ماعرفش", "probability": 0.662750244140625}, {"start": 228.68, "end": 228.96, "word": " يكون", "probability": 0.9267578125}, {"start": 228.96, "end": 229.2, "word": " فيه", "probability": 0.853759765625}, {"start": 229.2, "end": 229.56, "word": " tomato", "probability": 0.78515625}, {"start": 229.56, "end": 229.98, "word": " لأ", "probability": 0.712646484375}, {"start": 229.98, "end": 230.28, "word": " بدنا", "probability": 0.766845703125}, {"start": 230.28, "end": 230.52, "word": " نروح", "probability": 0.9816080729166666}, {"start": 230.52, "end": 230.9, "word": " نجيب", "probability": 0.947021484375}, {"start": 230.9, "end": 231.58, "word": " النقطة", "probability": 0.9337565104166666}, {"start": 231.58, "end": 232.76, "word": " المكافئة", "probability": 0.97880859375}, {"start": 232.76, "end": 233.12, "word": " لها", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 13, "seek": 26073, "start": 233.57, "end": 260.73, "text": "يبقى النقطة المكافئة لها ها بدنا نضيف باي ونحط الإشارة R بالسالب يصير عندى اتنين باي شيلناها يبقى يقولنا ناقص R وناقص ثيتا لنبحث هل هي على المنحنى ولا لأ يبقى بداشي اخد اتنين زائد اربع كوسايل سالب ثيتا", "tokens": [1829, 3555, 4587, 7578, 28239, 47432, 3660, 9673, 4117, 31845, 19986, 3660, 5296, 11296, 8032, 995, 47525, 8315, 8717, 11242, 33911, 4724, 47302, 4032, 1863, 5016, 9566, 33688, 8592, 9640, 3660, 497, 20666, 3794, 6027, 3555, 7251, 9381, 13546, 43242, 7578, 1975, 2655, 1863, 9957, 4724, 47302, 13412, 26895, 8315, 11296, 7251, 3555, 4587, 7578, 7251, 39648, 8315, 8717, 995, 4587, 9381, 497, 4032, 8315, 4587, 9381, 38637, 36081, 995, 5296, 1863, 49628, 12984, 8032, 1211, 39896, 15844, 9673, 1863, 5016, 1863, 7578, 49429, 5296, 10721, 7251, 3555, 4587, 7578, 47525, 33599, 1829, 1975, 9778, 3215, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 1975, 25513, 3615, 9122, 41779, 995, 26895, 8608, 6027, 3555, 38637, 36081, 995], "avg_logprob": -0.22970085419141328, "compression_ratio": 1.8854166666666667, "no_speech_prob": 0.0, "words": [{"start": 233.57, "end": 234.05, "word": "يبقى", "probability": 0.71966552734375}, {"start": 234.05, "end": 234.63, "word": " النقطة", "probability": 0.92333984375}, {"start": 234.63, "end": 235.85, "word": " المكافئة", "probability": 0.9884765625}, {"start": 235.85, "end": 236.41, "word": " لها", "probability": 0.96728515625}, {"start": 236.41, "end": 237.41, "word": " ها", "probability": 0.2593994140625}, {"start": 237.41, "end": 238.75, "word": " بدنا", "probability": 0.808837890625}, {"start": 238.75, "end": 239.41, "word": " نضيف", "probability": 0.9933268229166666}, {"start": 239.41, "end": 240.19, "word": " باي", "probability": 0.5521240234375}, {"start": 240.19, "end": 241.19, "word": " ونحط", "probability": 0.9093017578125}, {"start": 241.19, "end": 241.87, "word": " الإشارة", "probability": 0.90673828125}, {"start": 241.87, "end": 242.15, "word": " R", "probability": 0.406982421875}, {"start": 242.15, "end": 242.81, "word": " بالسالب", "probability": 0.8956298828125}, {"start": 242.81, "end": 243.19, "word": " يصير", "probability": 0.5955403645833334}, {"start": 243.19, "end": 243.53, "word": " عندى", "probability": 0.617431640625}, {"start": 243.53, "end": 243.89, "word": " اتنين", "probability": 0.909423828125}, {"start": 243.89, "end": 244.31, "word": " باي", "probability": 0.74267578125}, {"start": 244.31, "end": 245.23, "word": " شيلناها", "probability": 0.8272705078125}, {"start": 245.23, "end": 245.43, "word": " يبقى", "probability": 0.964599609375}, {"start": 245.43, "end": 245.81, "word": " يقولنا", "probability": 0.768310546875}, {"start": 245.81, "end": 246.55, "word": " ناقص", "probability": 0.963623046875}, {"start": 246.55, "end": 246.97, "word": " R", "probability": 0.94677734375}, {"start": 246.97, "end": 247.81, "word": " وناقص", "probability": 0.9122314453125}, {"start": 247.81, "end": 248.47, "word": " ثيتا", "probability": 0.6880696614583334}, {"start": 248.47, "end": 249.35, "word": " لنبحث", "probability": 0.7763671875}, {"start": 249.35, "end": 249.57, "word": " هل", "probability": 0.93798828125}, {"start": 249.57, "end": 249.75, "word": " هي", "probability": 0.88134765625}, {"start": 249.75, "end": 250.01, "word": " على", "probability": 0.90771484375}, {"start": 250.01, "end": 250.89, "word": " المنحنى", "probability": 0.87783203125}, {"start": 250.89, "end": 251.39, "word": " ولا", "probability": 0.93115234375}, {"start": 251.39, "end": 251.83, "word": " لأ", "probability": 0.7115478515625}, {"start": 251.83, "end": 252.55, "word": " يبقى", "probability": 0.9766845703125}, {"start": 252.55, "end": 253.03, "word": " بداشي", "probability": 0.629638671875}, {"start": 253.03, "end": 253.63, "word": " اخد", "probability": 0.8235677083333334}, {"start": 253.63, "end": 255.45, "word": " اتنين", "probability": 0.97705078125}, {"start": 255.45, "end": 256.73, "word": " زائد", "probability": 0.8372395833333334}, {"start": 256.73, "end": 257.95, "word": " اربع", "probability": 0.7330729166666666}, {"start": 257.95, "end": 259.41, "word": " كوسايل", "probability": 0.5919189453125}, {"start": 259.41, "end": 260.25, "word": " سالب", "probability": 0.9169921875}, {"start": 260.25, "end": 260.73, "word": " ثيتا", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 14, "seek": 29086, "start": 261.38, "end": 290.86, "text": "لو في تماثل بالنسبة ل Y بدي اطلع الجواب سالب R لكن هذه بدها تساوي قدرش 2 زائد 4 Cos θ يبقى هنا تماثل بالنسبة لمحور Y فبروح بقوله No symmetry about the Y axis", "tokens": [1211, 2407, 8978, 46811, 5718, 104, 1211, 20666, 1863, 35457, 3660, 5296, 398, 4724, 16254, 1975, 9566, 1211, 3615, 25724, 14407, 3555, 8608, 6027, 3555, 497, 44381, 29538, 47525, 11296, 6055, 3794, 995, 45865, 12174, 3215, 2288, 8592, 568, 30767, 16373, 3215, 1017, 15855, 12622, 7251, 3555, 4587, 7578, 34105, 46811, 5718, 104, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 398, 6156, 26890, 2407, 5016, 4724, 39648, 3224, 883, 25440, 466, 264, 398, 10298], "avg_logprob": -0.27981086781150416, "compression_ratio": 1.3833333333333333, "no_speech_prob": 0.0, "words": [{"start": 261.38, "end": 261.74, "word": "لو", "probability": 0.60906982421875}, {"start": 261.74, "end": 261.94, "word": " في", "probability": 0.466064453125}, {"start": 261.94, "end": 262.46, "word": " تماثل", "probability": 0.9051513671875}, {"start": 262.46, "end": 263.02, "word": " بالنسبة", "probability": 0.985595703125}, {"start": 263.02, "end": 263.14, "word": " ل", "probability": 0.76708984375}, {"start": 263.14, "end": 263.32, "word": " Y", "probability": 0.37646484375}, {"start": 263.32, "end": 263.6, "word": " بدي", "probability": 0.5166015625}, {"start": 263.6, "end": 263.92, "word": " اطلع", "probability": 0.79071044921875}, {"start": 263.92, "end": 264.86, "word": " الجواب", "probability": 0.92236328125}, {"start": 264.86, "end": 265.76, "word": " سالب", "probability": 0.5636393229166666}, {"start": 265.76, "end": 266.26, "word": " R", "probability": 0.79443359375}, {"start": 266.26, "end": 267.18, "word": " لكن", "probability": 0.81787109375}, {"start": 267.18, "end": 267.72, "word": " هذه", "probability": 0.53662109375}, {"start": 267.72, "end": 268.22, "word": " بدها", "probability": 0.880859375}, {"start": 268.22, "end": 268.8, "word": " تساوي", "probability": 0.8673095703125}, {"start": 268.8, "end": 269.4, "word": " قدرش", "probability": 0.71368408203125}, {"start": 269.4, "end": 269.96, "word": " 2", "probability": 0.69384765625}, {"start": 269.96, "end": 271.2, "word": " زائد", "probability": 0.7765299479166666}, {"start": 271.2, "end": 271.76, "word": " 4", "probability": 0.85546875}, {"start": 271.76, "end": 272.44, "word": " Cos", "probability": 0.3916015625}, {"start": 272.44, "end": 273.14, "word": " θ", "probability": 0.1990966796875}, {"start": 273.14, "end": 273.46, "word": " يبقى", "probability": 0.8426513671875}, {"start": 273.46, "end": 273.66, "word": " هنا", "probability": 0.98095703125}, {"start": 273.66, "end": 276.38, "word": " تماثل", "probability": 0.85760498046875}, {"start": 276.38, "end": 277.12, "word": " بالنسبة", "probability": 0.9927978515625}, {"start": 277.12, "end": 278.4, "word": " لمحور", "probability": 0.9749348958333334}, {"start": 278.4, "end": 278.8, "word": " Y", "probability": 0.98681640625}, {"start": 278.8, "end": 279.74, "word": " فبروح", "probability": 0.8577880859375}, {"start": 279.74, "end": 280.5, "word": " بقوله", "probability": 0.775634765625}, {"start": 280.5, "end": 281.42, "word": " No", "probability": 0.490966796875}, {"start": 281.42, "end": 282.68, "word": " symmetry", "probability": 0.64599609375}, {"start": 282.68, "end": 286.22, "word": " about", "probability": 0.84228515625}, {"start": 286.22, "end": 288.32, "word": " the", "probability": 0.87744140625}, {"start": 288.32, "end": 290.08, "word": " Y", "probability": 0.8310546875}, {"start": 290.08, "end": 290.86, "word": " axis", "probability": 0.68896484375}], "temperature": 1.0}, {"id": 15, "seek": 29844, "start": 293.56, "end": 298.44, "text": "طيب سؤال بيطرح نفسه", "tokens": [9566, 1829, 3555, 8608, 33604, 6027, 4724, 1829, 9566, 2288, 5016, 8717, 36178, 3224], "avg_logprob": -0.13893229365348816, "compression_ratio": 0.7954545454545454, "no_speech_prob": 0.0, "words": [{"start": 293.56, "end": 294.68, "word": "طيب", "probability": 0.9026692708333334}, {"start": 294.68, "end": 295.46, "word": " سؤال", "probability": 0.83447265625}, {"start": 295.46, "end": 297.88, "word": " بيطرح", "probability": 0.85869140625}, {"start": 297.88, "end": 298.44, "word": " نفسه", "probability": 0.9899088541666666}], "temperature": 1.0}, {"id": 16, "seek": 32468, "start": 299.24, "end": 324.68, "text": "هل تتوقع أن يكون هناك تماثل بالنسبة لنقطة الأصل؟ لأ طبعا. ليش؟ إنه كان هناك تماثل بالنسبة لنقطة الأصل، أصبح عندي تماثلين. وإذا عندي تماثلين، يبقى التماثل الثالث موجود. يبقى خليني على مين؟ بس بدنا نروح نثبت صح هذا صمم أمان بالنسبة لي، أبين إنه ماعنديش تماثل بالنسبة لنقطة الأصل.", "tokens": [3224, 1211, 6055, 2655, 30543, 3615, 14739, 7251, 30544, 34105, 4117, 46811, 5718, 104, 1211, 20666, 1863, 35457, 3660, 5296, 1863, 47432, 3660, 16247, 36520, 22807, 5296, 10721, 23032, 3555, 3615, 995, 13, 32239, 8592, 22807, 36145, 3224, 25961, 34105, 4117, 46811, 5718, 104, 1211, 20666, 1863, 35457, 3660, 5296, 1863, 47432, 3660, 16247, 36520, 12399, 5551, 9381, 49628, 18871, 16254, 46811, 5718, 104, 1211, 9957, 13, 4032, 28814, 15730, 18871, 16254, 46811, 5718, 104, 1211, 9957, 12399, 7251, 3555, 4587, 7578, 16712, 2304, 5718, 104, 1211, 6024, 104, 6027, 12984, 3714, 29245, 23328, 13, 7251, 3555, 4587, 7578, 16490, 1211, 9957, 1829, 15844, 3714, 9957, 22807, 4724, 3794, 47525, 8315, 8717, 32887, 5016, 8717, 12984, 3555, 2655, 20328, 5016, 23758, 20328, 2304, 2304, 5551, 2304, 7649, 20666, 1863, 35457, 3660, 32239, 12399, 5551, 3555, 9957, 36145, 3224, 19446, 3615, 1863, 16254, 8592, 46811, 5718, 104, 1211, 20666, 1863, 35457, 3660, 5296, 1863, 47432, 3660, 16247, 36520, 13], "avg_logprob": -0.1345322255818349, "compression_ratio": 2.3857142857142857, "no_speech_prob": 0.0, "words": [{"start": 299.24, "end": 299.58, "word": "هل", "probability": 0.971435546875}, {"start": 299.58, "end": 300.36, "word": " تتوقع", "probability": 0.98974609375}, {"start": 300.36, "end": 300.56, "word": " أن", "probability": 0.529296875}, {"start": 300.56, "end": 300.88, "word": " يكون", "probability": 0.94091796875}, {"start": 300.88, "end": 301.36, "word": " هناك", "probability": 0.98876953125}, {"start": 301.36, "end": 301.92, "word": " تماثل", "probability": 0.952392578125}, {"start": 301.92, "end": 302.7, "word": " بالنسبة", "probability": 0.994384765625}, {"start": 302.7, "end": 303.52, "word": " لنقطة", "probability": 0.97314453125}, {"start": 303.52, "end": 304.18, "word": " الأصل؟", "probability": 0.9072265625}, {"start": 304.18, "end": 304.86, "word": " لأ", "probability": 0.70458984375}, {"start": 304.86, "end": 305.3, "word": " طبعا.", "probability": 0.979248046875}, {"start": 305.58, "end": 306.28, "word": " ليش؟", "probability": 0.8782552083333334}, {"start": 306.28, "end": 306.52, "word": " إنه", "probability": 0.58740234375}, {"start": 306.52, "end": 306.78, "word": " كان", "probability": 0.457763671875}, {"start": 306.78, "end": 307.14, "word": " هناك", "probability": 0.97705078125}, {"start": 307.14, "end": 307.6, "word": " تماثل", "probability": 0.983154296875}, {"start": 307.6, "end": 308.04, "word": " بالنسبة", "probability": 0.9951171875}, {"start": 308.04, "end": 308.5, "word": " لنقطة", "probability": 0.9378662109375}, {"start": 308.5, "end": 308.7, "word": " الأصل،", "probability": 0.8538411458333334}, {"start": 308.7, "end": 309.08, "word": " أصبح", "probability": 0.93017578125}, {"start": 309.08, "end": 309.48, "word": " عندي", "probability": 0.939208984375}, {"start": 309.48, "end": 310.58, "word": " تماثلين.", "probability": 0.98916015625}, {"start": 310.82, "end": 311.32, "word": " وإذا", "probability": 0.9471028645833334}, {"start": 311.32, "end": 311.6, "word": " عندي", "probability": 0.95751953125}, {"start": 311.6, "end": 312.3, "word": " تماثلين،", "probability": 0.9500325520833334}, {"start": 312.3, "end": 312.46, "word": " يبقى", "probability": 0.9786376953125}, {"start": 312.46, "end": 312.96, "word": " التماثل", "probability": 0.8740234375}, {"start": 312.96, "end": 313.62, "word": " الثالث", "probability": 0.9818115234375}, {"start": 313.62, "end": 314.7, "word": " موجود.", "probability": 0.9864908854166666}, {"start": 315.0, "end": 315.38, "word": " يبقى", "probability": 0.983154296875}, {"start": 315.38, "end": 315.88, "word": " خليني", "probability": 0.7353515625}, {"start": 315.88, "end": 316.02, "word": " على", "probability": 0.85400390625}, {"start": 316.02, "end": 316.88, "word": " مين؟", "probability": 0.6337076822916666}, {"start": 316.88, "end": 317.1, "word": " بس", "probability": 0.9814453125}, {"start": 317.1, "end": 317.36, "word": " بدنا", "probability": 0.844482421875}, {"start": 317.36, "end": 317.58, "word": " نروح", "probability": 0.7842610677083334}, {"start": 317.58, "end": 318.16, "word": " نثبت", "probability": 0.9754638671875}, {"start": 318.16, "end": 318.38, "word": " صح", "probability": 0.6622314453125}, {"start": 318.38, "end": 318.64, "word": " هذا", "probability": 0.1993408203125}, {"start": 318.64, "end": 319.18, "word": " صمم", "probability": 0.865234375}, {"start": 319.18, "end": 319.6, "word": " أمان", "probability": 0.695556640625}, {"start": 319.6, "end": 320.26, "word": " بالنسبة", "probability": 0.9927978515625}, {"start": 320.26, "end": 320.84, "word": " لي،", "probability": 0.6201171875}, {"start": 320.84, "end": 321.44, "word": " أبين", "probability": 0.8585611979166666}, {"start": 321.44, "end": 321.94, "word": " إنه", "probability": 0.839599609375}, {"start": 321.94, "end": 322.48, "word": " ماعنديش", "probability": 0.9427734375}, {"start": 322.48, "end": 323.0, "word": " تماثل", "probability": 0.9793701171875}, {"start": 323.0, "end": 323.44, "word": " بالنسبة", "probability": 0.995849609375}, {"start": 323.44, "end": 324.08, "word": " لنقطة", "probability": 0.9896240234375}, {"start": 324.08, "end": 324.68, "word": " الأصل.", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 17, "seek": 34985, "start": 325.21, "end": 349.85, "text": "يبقى النقطة الأولى بالنسبة لنقطة الاصل لو شيلت ال R وحطيت مكانها سالب R بدي يطلع R itself هيكل تمام يبقى هذه بدي بقول ناقص R بدي يساوي ناقص اتنين ناقص اربعة كوسين الزاوية ثيتا وهذا لا يساوي ال R", "tokens": [1829, 3555, 4587, 7578, 28239, 47432, 3660, 16247, 12610, 7578, 20666, 1863, 35457, 3660, 5296, 1863, 47432, 3660, 2423, 33546, 1211, 45164, 13412, 26895, 2655, 2423, 497, 4032, 5016, 9566, 36081, 3714, 41361, 11296, 8608, 6027, 3555, 497, 4724, 16254, 7251, 9566, 1211, 3615, 497, 2564, 39896, 28820, 46811, 10943, 7251, 3555, 4587, 7578, 29538, 4724, 16254, 4724, 39648, 8717, 995, 4587, 9381, 497, 4724, 16254, 7251, 3794, 995, 45865, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 1975, 25513, 27884, 9122, 41779, 9957, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 37037, 15730, 20193, 7251, 3794, 995, 45865, 2423, 497], "avg_logprob": -0.23584905730665856, "compression_ratio": 1.8074866310160427, "no_speech_prob": 0.0, "words": [{"start": 325.21, "end": 325.73, "word": "يبقى", "probability": 0.8028564453125}, {"start": 325.73, "end": 326.17, "word": " النقطة", "probability": 0.9449869791666666}, {"start": 326.17, "end": 326.49, "word": " الأولى", "probability": 0.9599609375}, {"start": 326.49, "end": 326.99, "word": " بالنسبة", "probability": 0.96435546875}, {"start": 326.99, "end": 327.39, "word": " لنقطة", "probability": 0.876708984375}, {"start": 327.39, "end": 327.83, "word": " الاصل", "probability": 0.7442220052083334}, {"start": 327.83, "end": 328.21, "word": " لو", "probability": 0.4326171875}, {"start": 328.21, "end": 328.83, "word": " شيلت", "probability": 0.8888346354166666}, {"start": 328.83, "end": 329.03, "word": " ال", "probability": 0.8740234375}, {"start": 329.03, "end": 329.27, "word": " R", "probability": 0.375244140625}, {"start": 329.27, "end": 330.05, "word": " وحطيت", "probability": 0.81597900390625}, {"start": 330.05, "end": 330.91, "word": " مكانها", "probability": 0.96923828125}, {"start": 330.91, "end": 331.91, "word": " سالب", "probability": 0.83056640625}, {"start": 331.91, "end": 332.61, "word": " R", "probability": 0.89697265625}, {"start": 332.61, "end": 333.41, "word": " بدي", "probability": 0.261810302734375}, {"start": 333.41, "end": 333.97, "word": " يطلع", "probability": 0.9013671875}, {"start": 333.97, "end": 334.39, "word": " R", "probability": 0.8291015625}, {"start": 334.39, "end": 335.25, "word": " itself", "probability": 0.468017578125}, {"start": 335.25, "end": 336.05, "word": " هيكل", "probability": 0.30072021484375}, {"start": 336.05, "end": 336.57, "word": " تمام", "probability": 0.99365234375}, {"start": 336.57, "end": 337.73, "word": " يبقى", "probability": 0.9542236328125}, {"start": 337.73, "end": 338.03, "word": " هذه", "probability": 0.47705078125}, {"start": 338.03, "end": 338.43, "word": " بدي", "probability": 0.4969482421875}, {"start": 338.43, "end": 338.93, "word": " بقول", "probability": 0.97021484375}, {"start": 338.93, "end": 339.89, "word": " ناقص", "probability": 0.955078125}, {"start": 339.89, "end": 340.45, "word": " R", "probability": 0.95458984375}, {"start": 340.45, "end": 340.91, "word": " بدي", "probability": 0.87158203125}, {"start": 340.91, "end": 341.47, "word": " يساوي", "probability": 0.8126220703125}, {"start": 341.47, "end": 342.29, "word": " ناقص", "probability": 0.9820556640625}, {"start": 342.29, "end": 342.99, "word": " اتنين", "probability": 0.753570556640625}, {"start": 342.99, "end": 344.13, "word": " ناقص", "probability": 0.966064453125}, {"start": 344.13, "end": 344.75, "word": " اربعة", "probability": 0.8444010416666666}, {"start": 344.75, "end": 345.47, "word": " كوسين", "probability": 0.716796875}, {"start": 345.47, "end": 346.03, "word": " الزاوية", "probability": 0.8556640625}, {"start": 346.03, "end": 346.65, "word": " ثيتا", "probability": 0.7083333333333334}, {"start": 346.65, "end": 347.53, "word": " وهذا", "probability": 0.872802734375}, {"start": 347.53, "end": 347.95, "word": " لا", "probability": 0.82275390625}, {"start": 347.95, "end": 349.25, "word": " يساوي", "probability": 0.933349609375}, {"start": 349.25, "end": 349.49, "word": " ال", "probability": 0.8720703125}, {"start": 349.49, "end": 349.85, "word": " R", "probability": 0.85791015625}], "temperature": 1.0}, {"id": 18, "seek": 37840, "start": 350.76, "end": 378.4, "text": "أنا بسويش ال R بتاتا طيب بيكفي؟ بيكفيش بقوله ضبط ولكن اللي هو اتنين زائد اربعة cosine باي زائد ثيتا بنروح نجيب النقطة المكافئة لها تماما وهي تساوي اللي هو مين اتنين زائد اربعة في cosine باي", "tokens": [10721, 8315, 4724, 3794, 45865, 8592, 2423, 497, 39894, 9307, 995, 23032, 1829, 3555, 4724, 1829, 4117, 41185, 22807, 4724, 1829, 4117, 41185, 8592, 4724, 39648, 3224, 48812, 3555, 9566, 35525, 19452, 13672, 1829, 31439, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 1975, 25513, 27884, 23565, 4724, 47302, 30767, 16373, 3215, 38637, 36081, 995, 44945, 32887, 5016, 8717, 7435, 1829, 3555, 28239, 47432, 3660, 9673, 4117, 31845, 19986, 3660, 5296, 11296, 46811, 10943, 995, 37037, 1829, 6055, 3794, 995, 45865, 13672, 1829, 31439, 3714, 9957, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 1975, 25513, 27884, 8978, 23565, 4724, 47302], "avg_logprob": -0.21546874612569808, "compression_ratio": 1.7978142076502732, "no_speech_prob": 0.0, "words": [{"start": 350.76, "end": 351.2, "word": "أنا", "probability": 0.24407958984375}, {"start": 351.2, "end": 351.88, "word": " بسويش", "probability": 0.8251953125}, {"start": 351.88, "end": 352.1, "word": " ال", "probability": 0.78662109375}, {"start": 352.1, "end": 352.44, "word": " R", "probability": 0.282470703125}, {"start": 352.44, "end": 353.64, "word": " بتاتا", "probability": 0.7685546875}, {"start": 353.64, "end": 354.74, "word": " طيب", "probability": 0.818359375}, {"start": 354.74, "end": 355.68, "word": " بيكفي؟", "probability": 0.718505859375}, {"start": 355.68, "end": 356.66, "word": " بيكفيش", "probability": 0.88837890625}, {"start": 356.66, "end": 357.58, "word": " بقوله", "probability": 0.74365234375}, {"start": 357.58, "end": 358.08, "word": " ضبط", "probability": 0.8621419270833334}, {"start": 358.08, "end": 359.14, "word": " ولكن", "probability": 0.724853515625}, {"start": 359.14, "end": 360.46, "word": " اللي", "probability": 0.856689453125}, {"start": 360.46, "end": 360.84, "word": " هو", "probability": 0.9814453125}, {"start": 360.84, "end": 361.92, "word": " اتنين", "probability": 0.9306640625}, {"start": 361.92, "end": 362.68, "word": " زائد", "probability": 0.88232421875}, {"start": 362.68, "end": 363.32, "word": " اربعة", "probability": 0.8033854166666666}, {"start": 363.32, "end": 364.12, "word": " cosine", "probability": 0.411865234375}, {"start": 364.12, "end": 364.92, "word": " باي", "probability": 0.5723876953125}, {"start": 364.92, "end": 365.62, "word": " زائد", "probability": 0.9788411458333334}, {"start": 365.62, "end": 366.18, "word": " ثيتا", "probability": 0.8077799479166666}, {"start": 366.18, "end": 366.98, "word": " بنروح", "probability": 0.8763020833333334}, {"start": 366.98, "end": 367.4, "word": " نجيب", "probability": 0.9686279296875}, {"start": 367.4, "end": 367.98, "word": " النقطة", "probability": 0.8444010416666666}, {"start": 367.98, "end": 368.78, "word": " المكافئة", "probability": 0.9642578125}, {"start": 368.78, "end": 369.2, "word": " لها", "probability": 0.96142578125}, {"start": 369.2, "end": 370.02, "word": " تماما", "probability": 0.99560546875}, {"start": 370.02, "end": 371.0, "word": " وهي", "probability": 0.78857421875}, {"start": 371.0, "end": 371.98, "word": " تساوي", "probability": 0.9736328125}, {"start": 371.98, "end": 372.48, "word": " اللي", "probability": 0.881591796875}, {"start": 372.48, "end": 372.66, "word": " هو", "probability": 0.896484375}, {"start": 372.66, "end": 372.96, "word": " مين", "probability": 0.736572265625}, {"start": 372.96, "end": 374.16, "word": " اتنين", "probability": 0.91650390625}, {"start": 374.16, "end": 375.22, "word": " زائد", "probability": 0.97998046875}, {"start": 375.22, "end": 375.88, "word": " اربعة", "probability": 0.88916015625}, {"start": 375.88, "end": 376.3, "word": " في", "probability": 0.9345703125}, {"start": 376.3, "end": 377.32, "word": " cosine", "probability": 0.5361328125}, {"start": 377.32, "end": 378.4, "word": " باي", "probability": 0.701904296875}], "temperature": 1.0}, {"id": 19, "seek": 39726, "start": 386.1, "end": 397.26, "text": "يبقى 0-1 يبقى 2-4 cos θ", "tokens": [1829, 3555, 4587, 7578, 1958, 12, 16, 7251, 3555, 4587, 7578, 568, 12, 19, 3792, 12622], "avg_logprob": -0.8175551470588235, "compression_ratio": 0.9411764705882353, "no_speech_prob": 0.0, "words": [{"start": 386.1, "end": 387.5, "word": "يبقى", "probability": 0.592437744140625}, {"start": 387.5, "end": 387.5, "word": " 0", "probability": 0.041259765625}, {"start": 387.5, "end": 390.12, "word": "-1", "probability": 0.3870849609375}, {"start": 390.12, "end": 391.32, "word": " يبقى", "probability": 0.6939163208007812}, {"start": 391.32, "end": 392.54, "word": " 2", "probability": 0.1668701171875}, {"start": 392.54, "end": 395.36, "word": "-4", "probability": 0.885009765625}, {"start": 395.36, "end": 395.78, "word": " cos", "probability": 0.453125}, {"start": 395.78, "end": 397.26, "word": " θ", "probability": 0.6044921875}], "temperature": 1.0}, {"id": 20, "seek": 41107, "start": 405.01, "end": 411.07, "text": "لا يساوي هار يبقى معناته no symmetry about the origin", "tokens": [15040, 7251, 3794, 995, 45865, 8032, 9640, 7251, 3555, 4587, 7578, 20449, 8315, 47395, 572, 25440, 466, 264, 4957], "avg_logprob": -0.3433593675494194, "compression_ratio": 0.9125, "no_speech_prob": 0.0, "words": [{"start": 405.01, "end": 405.43, "word": "لا", "probability": 0.62841796875}, {"start": 405.43, "end": 406.69, "word": " يساوي", "probability": 0.977783203125}, {"start": 406.69, "end": 407.37, "word": " هار", "probability": 0.56207275390625}, {"start": 407.37, "end": 407.95, "word": " يبقى", "probability": 0.726043701171875}, {"start": 407.95, "end": 408.49, "word": " معناته", "probability": 0.8738606770833334}, {"start": 408.49, "end": 408.89, "word": " no", "probability": 0.2314453125}, {"start": 408.89, "end": 409.73, "word": " symmetry", "probability": 0.87890625}, {"start": 409.73, "end": 410.19, "word": " about", "probability": 0.93798828125}, {"start": 410.19, "end": 410.55, "word": " the", "probability": 0.8544921875}, {"start": 410.55, "end": 411.07, "word": " origin", "probability": 0.931640625}], "temperature": 1.0}, {"id": 21, "seek": 44568, "start": 424.34, "end": 445.68, "text": "ماعنديش تماثل بالنسبة لنقطة الأصل خلصنا يبقى بعتنا ففحصنا التماثل يبقى لا يوجد عندي تماثل إلا بالنسبة لمين لم محور X بعد هيك بناروح نعمل جدول وبعد ما نعمل الجدول بنروح نرسم يبقى لو جينا عملنا جدول بالشكل اللي عندنا هذا", "tokens": [15042, 3615, 1863, 16254, 8592, 46811, 5718, 104, 1211, 20666, 1863, 35457, 3660, 5296, 1863, 47432, 3660, 16247, 36520, 16490, 1211, 9381, 8315, 7251, 3555, 4587, 7578, 4724, 34268, 8315, 6156, 5172, 5016, 9381, 8315, 16712, 2304, 5718, 104, 1211, 7251, 3555, 4587, 7578, 20193, 7251, 29245, 3215, 18871, 16254, 46811, 5718, 104, 1211, 11933, 15040, 20666, 1863, 35457, 3660, 32767, 9957, 32767, 3714, 5016, 13063, 1783, 39182, 39896, 4117, 4724, 8315, 32887, 5016, 8717, 25957, 1211, 10874, 3215, 12610, 46599, 22488, 19446, 8717, 25957, 1211, 25724, 3215, 12610, 44945, 32887, 5016, 8717, 2288, 38251, 7251, 3555, 4587, 7578, 45164, 10874, 1829, 8315, 6225, 42213, 8315, 10874, 3215, 12610, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.14525952985731222, "compression_ratio": 2.101063829787234, "no_speech_prob": 0.0, "words": [{"start": 424.34, "end": 425.06, "word": "ماعنديش", "probability": 0.87587890625}, {"start": 425.06, "end": 425.54, "word": " تماثل", "probability": 0.8526611328125}, {"start": 425.54, "end": 426.1, "word": " بالنسبة", "probability": 0.8790283203125}, {"start": 426.1, "end": 426.86, "word": " لنقطة", "probability": 0.955810546875}, {"start": 426.86, "end": 427.48, "word": " الأصل", "probability": 0.7083740234375}, {"start": 427.48, "end": 428.62, "word": " خلصنا", "probability": 0.81201171875}, {"start": 428.62, "end": 428.78, "word": " يبقى", "probability": 0.85888671875}, {"start": 428.78, "end": 429.38, "word": " بعتنا", "probability": 0.7574869791666666}, {"start": 429.38, "end": 430.14, "word": " ففحصنا", "probability": 0.89853515625}, {"start": 430.14, "end": 430.9, "word": " التماثل", "probability": 0.95185546875}, {"start": 430.9, "end": 431.72, "word": " يبقى", "probability": 0.9515380859375}, {"start": 431.72, "end": 431.9, "word": " لا", "probability": 0.9267578125}, {"start": 431.9, "end": 432.56, "word": " يوجد", "probability": 0.9026692708333334}, {"start": 432.56, "end": 432.88, "word": " عندي", "probability": 0.820556640625}, {"start": 432.88, "end": 433.46, "word": " تماثل", "probability": 0.980712890625}, {"start": 433.46, "end": 433.78, "word": " إلا", "probability": 0.87744140625}, {"start": 433.78, "end": 434.32, "word": " بالنسبة", "probability": 0.9959716796875}, {"start": 434.32, "end": 434.8, "word": " لمين", "probability": 0.665771484375}, {"start": 434.8, "end": 435.48, "word": " لم", "probability": 0.841796875}, {"start": 435.48, "end": 435.96, "word": " محور", "probability": 0.7451985677083334}, {"start": 435.96, "end": 436.26, "word": " X", "probability": 0.8447265625}, {"start": 436.26, "end": 436.86, "word": " بعد", "probability": 0.81591796875}, {"start": 436.86, "end": 437.28, "word": " هيك", "probability": 0.59912109375}, {"start": 437.28, "end": 437.82, "word": " بناروح", "probability": 0.696258544921875}, {"start": 437.82, "end": 438.22, "word": " نعمل", "probability": 0.9938151041666666}, {"start": 438.22, "end": 438.66, "word": " جدول", "probability": 0.9861653645833334}, {"start": 438.66, "end": 439.46, "word": " وبعد", "probability": 0.7318115234375}, {"start": 439.46, "end": 439.58, "word": " ما", "probability": 0.94775390625}, {"start": 439.58, "end": 439.96, "word": " نعمل", "probability": 0.9910481770833334}, {"start": 439.96, "end": 440.46, "word": " الجدول", "probability": 0.9625651041666666}, {"start": 440.46, "end": 441.18, "word": " بنروح", "probability": 0.8759765625}, {"start": 441.18, "end": 441.7, "word": " نرسم", "probability": 0.9923502604166666}, {"start": 441.7, "end": 442.7, "word": " يبقى", "probability": 0.9273681640625}, {"start": 442.7, "end": 442.92, "word": " لو", "probability": 0.96484375}, {"start": 442.92, "end": 443.26, "word": " جينا", "probability": 0.9599609375}, {"start": 443.26, "end": 443.84, "word": " عملنا", "probability": 0.86474609375}, {"start": 443.84, "end": 444.28, "word": " جدول", "probability": 0.99658203125}, {"start": 444.28, "end": 444.88, "word": " بالشكل", "probability": 0.97607421875}, {"start": 444.88, "end": 445.02, "word": " اللي", "probability": 0.933349609375}, {"start": 445.02, "end": 445.42, "word": " عندنا", "probability": 0.98486328125}, {"start": 445.42, "end": 445.68, "word": " هذا", "probability": 0.95703125}], "temperature": 1.0}, {"id": 22, "seek": 47734, "start": 450.14, "end": 477.34, "text": "أنا جيت و قلت هنا ثيتا وهنا R ر اللي هي عنا تساوي اتنين زائد اربعة في كوصين الزاوية ثيتا و بدنا نبدأ بين بالزاوية Zero كوصين صفر اربعة و اتنين ستة كويس طيب بدنا نزيد لو جينا خدنا الزاوية مثلا تلاتين درجة", "tokens": [10721, 8315, 10874, 36081, 4032, 12174, 1211, 2655, 34105, 38637, 36081, 995, 37037, 8315, 497, 12602, 13672, 1829, 39896, 6225, 8315, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 30767, 16373, 3215, 1975, 25513, 27884, 8978, 9122, 2407, 9381, 9957, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 4032, 47525, 8315, 8717, 44510, 10721, 4724, 9957, 20666, 11622, 995, 2407, 10632, 17182, 9122, 2407, 9381, 9957, 20328, 5172, 2288, 1975, 25513, 27884, 4032, 1975, 2655, 1863, 9957, 8608, 2655, 3660, 9122, 45865, 3794, 23032, 1829, 3555, 47525, 8315, 8717, 11622, 25708, 45164, 10874, 1829, 8315, 16490, 3215, 8315, 6024, 110, 995, 2407, 10632, 50113, 15040, 6055, 1211, 9307, 9957, 11778, 47341, 3660], "avg_logprob": -0.2511061820308719, "compression_ratio": 1.9405405405405405, "no_speech_prob": 0.0, "words": [{"start": 450.14, "end": 450.34, "word": "أنا", "probability": 0.2296142578125}, {"start": 450.34, "end": 450.66, "word": " جيت", "probability": 0.563720703125}, {"start": 450.66, "end": 450.82, "word": " و", "probability": 0.441650390625}, {"start": 450.82, "end": 451.08, "word": " قلت", "probability": 0.7511393229166666}, {"start": 451.08, "end": 451.42, "word": " هنا", "probability": 0.87744140625}, {"start": 451.42, "end": 452.22, "word": " ثيتا", "probability": 0.5923258463541666}, {"start": 452.22, "end": 453.1, "word": " وهنا", "probability": 0.922119140625}, {"start": 453.1, "end": 453.64, "word": " R", "probability": 0.478271484375}, {"start": 453.64, "end": 454.46, "word": " ر", "probability": 0.22216796875}, {"start": 454.46, "end": 454.72, "word": " اللي", "probability": 0.81689453125}, {"start": 454.72, "end": 454.96, "word": " هي", "probability": 0.8828125}, {"start": 454.96, "end": 455.22, "word": " عنا", "probability": 0.57989501953125}, {"start": 455.22, "end": 455.98, "word": " تساوي", "probability": 0.9193115234375}, {"start": 455.98, "end": 456.88, "word": " اتنين", "probability": 0.9364013671875}, {"start": 456.88, "end": 458.0, "word": " زائد", "probability": 0.8854166666666666}, {"start": 458.0, "end": 458.68, "word": " اربعة", "probability": 0.7683919270833334}, {"start": 458.68, "end": 459.04, "word": " في", "probability": 0.90283203125}, {"start": 459.04, "end": 459.88, "word": " كوصين", "probability": 0.549285888671875}, {"start": 459.88, "end": 460.44, "word": " الزاوية", "probability": 0.91708984375}, {"start": 460.44, "end": 461.06, "word": " ثيتا", "probability": 0.8728841145833334}, {"start": 461.06, "end": 462.06, "word": " و", "probability": 0.5859375}, {"start": 462.06, "end": 462.44, "word": " بدنا", "probability": 0.855224609375}, {"start": 462.44, "end": 462.84, "word": " نبدأ", "probability": 0.9845377604166666}, {"start": 462.84, "end": 463.32, "word": " بين", "probability": 0.3179931640625}, {"start": 463.32, "end": 464.28, "word": " بالزاوية", "probability": 0.90673828125}, {"start": 464.28, "end": 464.7, "word": " Zero", "probability": 0.564453125}, {"start": 464.7, "end": 465.34, "word": " كوصين", "probability": 0.939697265625}, {"start": 465.34, "end": 466.06, "word": " صفر", "probability": 0.98095703125}, {"start": 466.06, "end": 467.34, "word": " اربعة", "probability": 0.8478190104166666}, {"start": 467.34, "end": 467.46, "word": " و", "probability": 0.81982421875}, {"start": 467.46, "end": 468.48, "word": " اتنين", "probability": 0.973388671875}, {"start": 468.48, "end": 469.86, "word": " ستة", "probability": 0.9215494791666666}, {"start": 469.86, "end": 471.06, "word": " كويس", "probability": 0.790283203125}, {"start": 471.06, "end": 472.18, "word": " طيب", "probability": 0.9620768229166666}, {"start": 472.18, "end": 472.92, "word": " بدنا", "probability": 0.95458984375}, {"start": 472.92, "end": 473.46, "word": " نزيد", "probability": 0.99365234375}, {"start": 473.46, "end": 474.08, "word": " لو", "probability": 0.8544921875}, {"start": 474.08, "end": 474.4, "word": " جينا", "probability": 0.9796549479166666}, {"start": 474.4, "end": 474.86, "word": " خدنا", "probability": 0.8179524739583334}, {"start": 474.86, "end": 475.42, "word": " الزاوية", "probability": 0.9572265625}, {"start": 475.42, "end": 475.92, "word": " مثلا", "probability": 0.870361328125}, {"start": 475.92, "end": 476.68, "word": " تلاتين", "probability": 0.9693603515625}, {"start": 476.68, "end": 477.34, "word": " درجة", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 23, "seek": 50580, "start": 478.62, "end": 505.8, "text": "يبقى جتا تلاتين جدر تلاتة على اتنين يبقى وصير اتنين جدر تلاتة جدر تلاتة بواحد وسبعة من عشرة يبقى تلاتة صحيحة واربعة من عشرة زائد اتنين خمسة صحيحة واربعة من عشرة لو جيت مثلا ستين درجة جتا ستين نص في اربعة باتنين واتنين اربعة", "tokens": [1829, 3555, 4587, 7578, 10874, 2655, 995, 6055, 1211, 9307, 9957, 10874, 3215, 2288, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 4032, 9381, 13546, 1975, 2655, 1863, 9957, 10874, 3215, 2288, 6055, 1211, 9307, 3660, 10874, 3215, 2288, 6055, 1211, 9307, 3660, 4724, 14407, 24401, 4032, 35457, 27884, 9154, 6225, 8592, 25720, 7251, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 20328, 5016, 1829, 5016, 3660, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 20328, 5016, 1829, 5016, 3660, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 45164, 10874, 36081, 50113, 15040, 8608, 2655, 9957, 11778, 47341, 3660, 10874, 2655, 995, 8608, 2655, 9957, 8717, 9381, 8978, 1975, 25513, 27884, 4724, 9307, 1863, 9957, 4032, 9307, 1863, 9957, 1975, 25513, 27884], "avg_logprob": -0.15194745642551477, "compression_ratio": 2.5031055900621118, "no_speech_prob": 0.0, "words": [{"start": 478.62, "end": 479.0, "word": "يبقى", "probability": 0.70147705078125}, {"start": 479.0, "end": 479.44, "word": " جتا", "probability": 0.6019694010416666}, {"start": 479.44, "end": 480.32, "word": " تلاتين", "probability": 0.9453125}, {"start": 480.32, "end": 481.18, "word": " جدر", "probability": 0.9415690104166666}, {"start": 481.18, "end": 481.72, "word": " تلاتة", "probability": 0.9490966796875}, {"start": 481.72, "end": 481.94, "word": " على", "probability": 0.7724609375}, {"start": 481.94, "end": 482.24, "word": " اتنين", "probability": 0.943359375}, {"start": 482.24, "end": 482.44, "word": " يبقى", "probability": 0.865966796875}, {"start": 482.44, "end": 482.8, "word": " وصير", "probability": 0.4018961588541667}, {"start": 482.8, "end": 483.72, "word": " اتنين", "probability": 0.9676513671875}, {"start": 483.72, "end": 484.24, "word": " جدر", "probability": 0.9912109375}, {"start": 484.24, "end": 484.8, "word": " تلاتة", "probability": 0.987060546875}, {"start": 484.8, "end": 485.5, "word": " جدر", "probability": 0.9443359375}, {"start": 485.5, "end": 485.88, "word": " تلاتة", "probability": 0.985595703125}, {"start": 485.88, "end": 486.18, "word": " بواحد", "probability": 0.7859700520833334}, {"start": 486.18, "end": 486.62, "word": " وسبعة", "probability": 0.7466634114583334}, {"start": 486.62, "end": 486.78, "word": " من", "probability": 0.9892578125}, {"start": 486.78, "end": 487.06, "word": " عشرة", "probability": 0.8626302083333334}, {"start": 487.06, "end": 487.26, "word": " يبقى", "probability": 0.9598388671875}, {"start": 487.26, "end": 487.78, "word": " تلاتة", "probability": 0.9317626953125}, {"start": 487.78, "end": 488.28, "word": " صحيحة", "probability": 0.91396484375}, {"start": 488.28, "end": 488.74, "word": " واربعة", "probability": 0.80157470703125}, {"start": 488.74, "end": 488.92, "word": " من", "probability": 0.9892578125}, {"start": 488.92, "end": 489.32, "word": " عشرة", "probability": 0.9627278645833334}, {"start": 489.32, "end": 490.18, "word": " زائد", "probability": 0.8312174479166666}, {"start": 490.18, "end": 490.98, "word": " اتنين", "probability": 0.984130859375}, {"start": 490.98, "end": 492.28, "word": " خمسة", "probability": 0.82769775390625}, {"start": 492.28, "end": 493.2, "word": " صحيحة", "probability": 0.950390625}, {"start": 493.2, "end": 494.0, "word": " واربعة", "probability": 0.89697265625}, {"start": 494.0, "end": 494.44, "word": " من", "probability": 0.99169921875}, {"start": 494.44, "end": 494.94, "word": " عشرة", "probability": 0.9383138020833334}, {"start": 494.94, "end": 495.86, "word": " لو", "probability": 0.61865234375}, {"start": 495.86, "end": 496.14, "word": " جيت", "probability": 0.633544921875}, {"start": 496.14, "end": 497.06, "word": " مثلا", "probability": 0.9609375}, {"start": 497.06, "end": 498.0, "word": " ستين", "probability": 0.9231770833333334}, {"start": 498.0, "end": 498.8, "word": " درجة", "probability": 0.9944661458333334}, {"start": 498.8, "end": 500.22, "word": " جتا", "probability": 0.95263671875}, {"start": 500.22, "end": 501.5, "word": " ستين", "probability": 0.97900390625}, {"start": 501.5, "end": 502.64, "word": " نص", "probability": 0.959228515625}, {"start": 502.64, "end": 502.86, "word": " في", "probability": 0.54931640625}, {"start": 502.86, "end": 503.42, "word": " اربعة", "probability": 0.89404296875}, {"start": 503.42, "end": 504.06, "word": " باتنين", "probability": 0.8707275390625}, {"start": 504.06, "end": 505.12, "word": " واتنين", "probability": 0.9189453125}, {"start": 505.12, "end": 505.8, "word": " اربعة", "probability": 0.90966796875}], "temperature": 1.0}, {"id": 24, "seek": 53483, "start": 506.55, "end": 534.83, "text": "لو جت قلت تسعين درجة تسعين في تسعين جت تسعين بصفر يبقى بصير اتنين بعدك لو روحت قلت مية و عشرين درجة يبقى مية و عشرين درجة جتها جت ستين بس بالثالث جت ستين بنص يبقى سالب نص في أربعة سالب اتنين و اتنين", "tokens": [1211, 2407, 10874, 2655, 12174, 1211, 2655, 6055, 3794, 3615, 9957, 11778, 47341, 3660, 6055, 3794, 3615, 9957, 8978, 6055, 3794, 3615, 9957, 10874, 2655, 6055, 3794, 3615, 9957, 4724, 9381, 5172, 2288, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 39182, 4117, 45164, 12602, 2407, 33753, 12174, 1211, 2655, 3714, 10632, 4032, 6225, 46309, 9957, 11778, 47341, 3660, 7251, 3555, 4587, 7578, 3714, 10632, 4032, 6225, 46309, 9957, 11778, 47341, 3660, 10874, 2655, 11296, 10874, 2655, 8608, 2655, 9957, 4724, 3794, 20666, 12984, 6027, 12984, 10874, 2655, 8608, 2655, 9957, 44945, 9381, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 8717, 9381, 8978, 5551, 25513, 27884, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 4032, 1975, 2655, 1863, 9957], "avg_logprob": -0.1484374968243427, "compression_ratio": 2.3223684210526314, "no_speech_prob": 0.0, "words": [{"start": 506.55, "end": 506.97, "word": "لو", "probability": 0.6563720703125}, {"start": 506.97, "end": 507.31, "word": " جت", "probability": 0.6982421875}, {"start": 507.31, "end": 507.81, "word": " قلت", "probability": 0.8603515625}, {"start": 507.81, "end": 508.59, "word": " تسعين", "probability": 0.915771484375}, {"start": 508.59, "end": 509.31, "word": " درجة", "probability": 0.9791666666666666}, {"start": 509.31, "end": 509.87, "word": " تسعين", "probability": 0.84619140625}, {"start": 509.87, "end": 510.01, "word": " في", "probability": 0.400634765625}, {"start": 510.01, "end": 511.23, "word": " تسعين", "probability": 0.9205322265625}, {"start": 511.23, "end": 512.03, "word": " جت", "probability": 0.885986328125}, {"start": 512.03, "end": 512.57, "word": " تسعين", "probability": 0.994873046875}, {"start": 512.57, "end": 513.29, "word": " بصفر", "probability": 0.869140625}, {"start": 513.29, "end": 514.25, "word": " يبقى", "probability": 0.8897705078125}, {"start": 514.25, "end": 514.91, "word": " بصير", "probability": 0.9798177083333334}, {"start": 514.91, "end": 515.53, "word": " اتنين", "probability": 0.9512939453125}, {"start": 515.53, "end": 516.67, "word": " بعدك", "probability": 0.44921875}, {"start": 516.67, "end": 516.89, "word": " لو", "probability": 0.955078125}, {"start": 516.89, "end": 517.23, "word": " روحت", "probability": 0.8561197916666666}, {"start": 517.23, "end": 517.61, "word": " قلت", "probability": 0.95458984375}, {"start": 517.61, "end": 518.15, "word": " مية", "probability": 0.972900390625}, {"start": 518.15, "end": 518.37, "word": " و", "probability": 0.9853515625}, {"start": 518.37, "end": 519.13, "word": " عشرين", "probability": 0.8287760416666666}, {"start": 519.13, "end": 520.03, "word": " درجة", "probability": 0.9964192708333334}, {"start": 520.03, "end": 521.95, "word": " يبقى", "probability": 0.98486328125}, {"start": 521.95, "end": 522.27, "word": " مية", "probability": 0.97998046875}, {"start": 522.27, "end": 522.41, "word": " و", "probability": 0.98974609375}, {"start": 522.41, "end": 523.01, "word": " عشرين", "probability": 0.9573567708333334}, {"start": 523.01, "end": 523.73, "word": " درجة", "probability": 0.99755859375}, {"start": 523.73, "end": 524.31, "word": " جتها", "probability": 0.697021484375}, {"start": 524.31, "end": 524.93, "word": " جت", "probability": 0.781005859375}, {"start": 524.93, "end": 525.99, "word": " ستين", "probability": 0.791015625}, {"start": 525.99, "end": 526.35, "word": " بس", "probability": 0.979248046875}, {"start": 526.35, "end": 527.21, "word": " بالثالث", "probability": 0.8289794921875}, {"start": 527.21, "end": 528.21, "word": " جت", "probability": 0.9853515625}, {"start": 528.21, "end": 528.87, "word": " ستين", "probability": 0.98583984375}, {"start": 528.87, "end": 529.33, "word": " بنص", "probability": 0.6849365234375}, {"start": 529.33, "end": 529.77, "word": " يبقى", "probability": 0.9842529296875}, {"start": 529.77, "end": 530.67, "word": " سالب", "probability": 0.7953287760416666}, {"start": 530.67, "end": 531.23, "word": " نص", "probability": 0.988037109375}, {"start": 531.23, "end": 531.87, "word": " في", "probability": 0.884765625}, {"start": 531.87, "end": 532.51, "word": " أربعة", "probability": 0.7771809895833334}, {"start": 532.51, "end": 533.45, "word": " سالب", "probability": 0.92822265625}, {"start": 533.45, "end": 533.83, "word": " اتنين", "probability": 0.9737548828125}, {"start": 533.83, "end": 534.05, "word": " و", "probability": 0.9052734375}, {"start": 534.05, "end": 534.83, "word": " اتنين", "probability": 0.867919921875}], "temperature": 1.0}, {"id": 25, "seek": 55041, "start": 535.21, "end": 550.41, "text": "بعد ذلك لو جيت عند ال 150 درجة هو هي عند ال 180 درجة، لو جيت جات ال 150 هي جات ال 30", "tokens": [3555, 22488, 29910, 23275, 45164, 10874, 36081, 43242, 2423, 8451, 11778, 47341, 3660, 31439, 39896, 43242, 2423, 11971, 11778, 47341, 3660, 12399, 45164, 10874, 36081, 10874, 9307, 2423, 8451, 39896, 10874, 9307, 2423, 2217], "avg_logprob": -0.36049107142857145, "compression_ratio": 1.5517241379310345, "no_speech_prob": 0.0, "words": [{"start": 535.21, "end": 535.93, "word": "بعد", "probability": 0.27557373046875}, {"start": 535.93, "end": 538.01, "word": " ذلك", "probability": 0.7413330078125}, {"start": 538.01, "end": 538.27, "word": " لو", "probability": 0.1600341796875}, {"start": 538.27, "end": 538.69, "word": " جيت", "probability": 0.8056640625}, {"start": 538.69, "end": 539.09, "word": " عند", "probability": 0.7890625}, {"start": 539.09, "end": 539.33, "word": " ال", "probability": 0.64697265625}, {"start": 539.33, "end": 540.29, "word": " 150", "probability": 0.41796875}, {"start": 540.29, "end": 541.69, "word": " درجة", "probability": 0.9720052083333334}, {"start": 541.69, "end": 542.29, "word": " هو", "probability": 0.282958984375}, {"start": 542.29, "end": 542.65, "word": " هي", "probability": 0.71630859375}, {"start": 542.65, "end": 543.09, "word": " عند", "probability": 0.9609375}, {"start": 543.09, "end": 543.61, "word": " ال", "probability": 0.87646484375}, {"start": 543.61, "end": 544.85, "word": " 180", "probability": 0.84912109375}, {"start": 544.85, "end": 546.13, "word": " درجة،", "probability": 0.84417724609375}, {"start": 546.13, "end": 547.07, "word": " لو", "probability": 0.86328125}, {"start": 547.07, "end": 547.33, "word": " جيت", "probability": 0.927001953125}, {"start": 547.33, "end": 547.59, "word": " جات", "probability": 0.6639404296875}, {"start": 547.59, "end": 547.71, "word": " ال", "probability": 0.83935546875}, {"start": 547.71, "end": 548.35, "word": " 150", "probability": 0.93505859375}, {"start": 548.35, "end": 548.73, "word": " هي", "probability": 0.8759765625}, {"start": 548.73, "end": 549.47, "word": " جات", "probability": 0.9296875}, {"start": 549.47, "end": 549.69, "word": " ال", "probability": 0.70166015625}, {"start": 549.69, "end": 550.41, "word": " 30", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 26, "seek": 57805, "start": 551.02, "end": 578.06, "text": "جتل تلاتين جذر تلاتة على اتنين بس بالسالب يبقى اتنين ناقص اتنين جذر تلاتة يعني اتنين ناقص تلاتة صحيح واربع من عشرة بيطلع سالب واحد صحيح واربع من عشرة جتل مية وتمانين بسالب واحد يبقى اتنين وسالب اربع ليه بمين بسالب اتنين", "tokens": [7435, 2655, 1211, 6055, 1211, 9307, 9957, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 4724, 3794, 20666, 3794, 6027, 3555, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 37495, 22653, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 20328, 5016, 1829, 5016, 4032, 9640, 3555, 3615, 9154, 6225, 8592, 25720, 4724, 1829, 9566, 1211, 3615, 8608, 6027, 3555, 36764, 24401, 20328, 5016, 1829, 5016, 4032, 9640, 3555, 3615, 9154, 6225, 8592, 25720, 10874, 2655, 1211, 3714, 10632, 34683, 2304, 7649, 9957, 4724, 3794, 6027, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 4032, 3794, 6027, 3555, 1975, 25513, 3615, 32239, 3224, 4724, 2304, 9957, 4724, 3794, 6027, 3555, 1975, 2655, 1863, 9957], "avg_logprob": -0.1393973277083465, "compression_ratio": 2.5947712418300655, "no_speech_prob": 0.0, "words": [{"start": 551.02, "end": 551.6, "word": "جتل", "probability": 0.4017740885416667}, {"start": 551.6, "end": 552.16, "word": " تلاتين", "probability": 0.9000244140625}, {"start": 552.16, "end": 552.6, "word": " جذر", "probability": 0.6328531901041666}, {"start": 552.6, "end": 553.1, "word": " تلاتة", "probability": 0.9349365234375}, {"start": 553.1, "end": 553.3, "word": " على", "probability": 0.7119140625}, {"start": 553.3, "end": 553.7, "word": " اتنين", "probability": 0.938232421875}, {"start": 553.7, "end": 554.0, "word": " بس", "probability": 0.841064453125}, {"start": 554.0, "end": 554.76, "word": " بالسالب", "probability": 0.8543701171875}, {"start": 554.76, "end": 555.54, "word": " يبقى", "probability": 0.9365234375}, {"start": 555.54, "end": 556.24, "word": " اتنين", "probability": 0.967041015625}, {"start": 556.24, "end": 557.32, "word": " ناقص", "probability": 0.85833740234375}, {"start": 557.32, "end": 558.28, "word": " اتنين", "probability": 0.9896240234375}, {"start": 558.28, "end": 560.24, "word": " جذر", "probability": 0.9710286458333334}, {"start": 560.24, "end": 561.08, "word": " تلاتة", "probability": 0.98388671875}, {"start": 561.08, "end": 561.52, "word": " يعني", "probability": 0.910888671875}, {"start": 561.52, "end": 562.16, "word": " اتنين", "probability": 0.98193359375}, {"start": 562.16, "end": 562.64, "word": " ناقص", "probability": 0.986328125}, {"start": 562.64, "end": 563.08, "word": " تلاتة", "probability": 0.94970703125}, {"start": 563.08, "end": 563.44, "word": " صحيح", "probability": 0.988037109375}, {"start": 563.44, "end": 563.9, "word": " واربع", "probability": 0.67462158203125}, {"start": 563.9, "end": 564.12, "word": " من", "probability": 0.986328125}, {"start": 564.12, "end": 564.7, "word": " عشرة", "probability": 0.89208984375}, {"start": 564.7, "end": 565.7, "word": " بيطلع", "probability": 0.795947265625}, {"start": 565.7, "end": 566.78, "word": " سالب", "probability": 0.9326171875}, {"start": 566.78, "end": 567.52, "word": " واحد", "probability": 0.976318359375}, {"start": 567.52, "end": 568.4, "word": " صحيح", "probability": 0.9964599609375}, {"start": 568.4, "end": 569.04, "word": " واربع", "probability": 0.927734375}, {"start": 569.04, "end": 569.24, "word": " من", "probability": 0.99365234375}, {"start": 569.24, "end": 569.7, "word": " عشرة", "probability": 0.94482421875}, {"start": 569.7, "end": 571.04, "word": " جتل", "probability": 0.98193359375}, {"start": 571.04, "end": 571.28, "word": " مية", "probability": 0.9345703125}, {"start": 571.28, "end": 571.88, "word": " وتمانين", "probability": 0.84344482421875}, {"start": 571.88, "end": 572.6, "word": " بسالب", "probability": 0.948486328125}, {"start": 572.6, "end": 573.02, "word": " واحد", "probability": 0.987060546875}, {"start": 573.02, "end": 573.32, "word": " يبقى", "probability": 0.9775390625}, {"start": 573.32, "end": 573.72, "word": " اتنين", "probability": 0.9898681640625}, {"start": 573.72, "end": 574.3, "word": " وسالب", "probability": 0.83203125}, {"start": 574.3, "end": 574.64, "word": " اربع", "probability": 0.8963216145833334}, {"start": 574.64, "end": 574.86, "word": " ليه", "probability": 0.5853271484375}, {"start": 574.86, "end": 575.42, "word": " بمين", "probability": 0.7294108072916666}, {"start": 575.42, "end": 577.06, "word": " بسالب", "probability": 0.9810791015625}, {"start": 577.06, "end": 578.06, "word": " اتنين", "probability": 0.985595703125}], "temperature": 1.0}, {"id": 27, "seek": 60099, "start": 580.03, "end": 600.99, "text": "الان بدنا نروح للرسم و نشوف كيف بدنا نرسم هذا المنحنى يبقى ماجي بقول هي المحاور هذا theta تساوي zero وهذا theta تساوي pi على اتنين اللي هو تسعين درجة و بدنا نرسم", "tokens": [6027, 7649, 47525, 8315, 8717, 32887, 5016, 24976, 2288, 38251, 4032, 8717, 8592, 38688, 9122, 33911, 47525, 8315, 8717, 2288, 38251, 23758, 9673, 1863, 5016, 1863, 7578, 7251, 3555, 4587, 7578, 3714, 26108, 1829, 4724, 39648, 39896, 9673, 5016, 995, 13063, 23758, 9725, 6055, 3794, 995, 45865, 4018, 37037, 15730, 9725, 6055, 3794, 995, 45865, 3895, 15844, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 6055, 3794, 3615, 9957, 11778, 47341, 3660, 4032, 47525, 8315, 8717, 2288, 38251], "avg_logprob": -0.17948718483631426, "compression_ratio": 1.7018633540372672, "no_speech_prob": 0.0, "words": [{"start": 580.03, "end": 580.47, "word": "الان", "probability": 0.707275390625}, {"start": 580.47, "end": 580.77, "word": " بدنا", "probability": 0.66162109375}, {"start": 580.77, "end": 581.21, "word": " نروح", "probability": 0.9285481770833334}, {"start": 581.21, "end": 581.99, "word": " للرسم", "probability": 0.9368489583333334}, {"start": 581.99, "end": 582.67, "word": " و", "probability": 0.9111328125}, {"start": 582.67, "end": 583.13, "word": " نشوف", "probability": 0.7403971354166666}, {"start": 583.13, "end": 583.43, "word": " كيف", "probability": 0.979736328125}, {"start": 583.43, "end": 583.69, "word": " بدنا", "probability": 0.78271484375}, {"start": 583.69, "end": 584.11, "word": " نرسم", "probability": 0.9889322916666666}, {"start": 584.11, "end": 584.81, "word": " هذا", "probability": 0.83349609375}, {"start": 584.81, "end": 587.05, "word": " المنحنى", "probability": 0.86640625}, {"start": 587.05, "end": 588.01, "word": " يبقى", "probability": 0.9398193359375}, {"start": 588.01, "end": 588.41, "word": " ماجي", "probability": 0.8102213541666666}, {"start": 588.41, "end": 588.99, "word": " بقول", "probability": 0.941162109375}, {"start": 588.99, "end": 589.25, "word": " هي", "probability": 0.232666015625}, {"start": 589.25, "end": 590.17, "word": " المحاور", "probability": 0.9830322265625}, {"start": 590.17, "end": 591.19, "word": " هذا", "probability": 0.69970703125}, {"start": 591.19, "end": 591.71, "word": " theta", "probability": 0.30859375}, {"start": 591.71, "end": 592.51, "word": " تساوي", "probability": 0.9439697265625}, {"start": 592.51, "end": 593.01, "word": " zero", "probability": 0.6884765625}, {"start": 593.01, "end": 594.23, "word": " وهذا", "probability": 0.756103515625}, {"start": 594.23, "end": 594.85, "word": " theta", "probability": 0.6513671875}, {"start": 594.85, "end": 595.85, "word": " تساوي", "probability": 0.9840087890625}, {"start": 595.85, "end": 596.27, "word": " pi", "probability": 0.259765625}, {"start": 596.27, "end": 596.67, "word": " على", "probability": 0.53564453125}, {"start": 596.67, "end": 597.39, "word": " اتنين", "probability": 0.86151123046875}, {"start": 597.39, "end": 597.89, "word": " اللي", "probability": 0.935546875}, {"start": 597.89, "end": 598.05, "word": " هو", "probability": 0.9892578125}, {"start": 598.05, "end": 598.75, "word": " تسعين", "probability": 0.9813232421875}, {"start": 598.75, "end": 599.45, "word": " درجة", "probability": 0.9925130208333334}, {"start": 599.45, "end": 600.01, "word": " و", "probability": 0.7841796875}, {"start": 600.01, "end": 600.37, "word": " بدنا", "probability": 0.9091796875}, {"start": 600.37, "end": 600.99, "word": " نرسم", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 28, "seek": 63067, "start": 601.52, "end": 630.68, "text": "لما كان فيتا تساوي زيرو كانت ارض تساوي جداش تساوي ستة يبقى عندما فيتا تساوي زيرو بدي .. يعني الخط فيتا تساوي زيرو بدي أخد طول عليه تساوي جداش ستة يبقى هذه النقطة اليحداتي تبعها ستة وزيرو بعد ذلك بدي أتي تلاتين درجة بدي أرسم الخط فيتا تساوي تلاتين درجة", "tokens": [1211, 15042, 25961, 6156, 36081, 995, 6055, 3794, 995, 45865, 30767, 13546, 2407, 25961, 2655, 1975, 43042, 6055, 3794, 995, 45865, 10874, 3215, 33599, 6055, 3794, 995, 45865, 8608, 2655, 3660, 7251, 3555, 4587, 7578, 43242, 15042, 6156, 36081, 995, 6055, 3794, 995, 45865, 30767, 13546, 2407, 4724, 16254, 4386, 37495, 22653, 33962, 9566, 6156, 36081, 995, 6055, 3794, 995, 45865, 30767, 13546, 2407, 4724, 16254, 5551, 9778, 3215, 23032, 12610, 47356, 6055, 3794, 995, 45865, 10874, 3215, 33599, 8608, 2655, 3660, 7251, 3555, 4587, 7578, 29538, 28239, 47432, 3660, 45595, 24401, 9307, 1829, 6055, 3555, 3615, 11296, 8608, 2655, 3660, 4032, 11622, 13546, 2407, 39182, 29910, 23275, 4724, 16254, 5551, 31371, 6055, 1211, 9307, 9957, 11778, 47341, 3660, 4724, 16254, 5551, 2288, 38251, 33962, 9566, 6156, 36081, 995, 6055, 3794, 995, 45865, 6055, 1211, 9307, 9957, 11778, 47341, 3660], "avg_logprob": -0.19791666920303452, "compression_ratio": 2.478021978021978, "no_speech_prob": 0.0, "words": [{"start": 601.52, "end": 602.04, "word": "لما", "probability": 0.56414794921875}, {"start": 602.04, "end": 602.48, "word": " كان", "probability": 0.95458984375}, {"start": 602.48, "end": 603.04, "word": " فيتا", "probability": 0.5557861328125}, {"start": 603.04, "end": 603.68, "word": " تساوي", "probability": 0.838623046875}, {"start": 603.68, "end": 604.18, "word": " زيرو", "probability": 0.6703694661458334}, {"start": 604.18, "end": 604.82, "word": " كانت", "probability": 0.5933837890625}, {"start": 604.82, "end": 605.08, "word": " ارض", "probability": 0.5780029296875}, {"start": 605.08, "end": 605.52, "word": " تساوي", "probability": 0.97119140625}, {"start": 605.52, "end": 606.26, "word": " جداش", "probability": 0.8927408854166666}, {"start": 606.26, "end": 607.32, "word": " تساوي", "probability": 0.9697265625}, {"start": 607.32, "end": 607.9, "word": " ستة", "probability": 0.9495442708333334}, {"start": 607.9, "end": 608.82, "word": " يبقى", "probability": 0.83453369140625}, {"start": 608.82, "end": 609.44, "word": " عندما", "probability": 0.93017578125}, {"start": 609.44, "end": 610.08, "word": " فيتا", "probability": 0.8318684895833334}, {"start": 610.08, "end": 610.68, "word": " تساوي", "probability": 0.986083984375}, {"start": 610.68, "end": 611.04, "word": " زيرو", "probability": 0.9474283854166666}, {"start": 611.04, "end": 611.42, "word": " بدي", "probability": 0.525360107421875}, {"start": 611.42, "end": 611.6, "word": " ..", "probability": 0.31787109375}, {"start": 611.6, "end": 611.76, "word": " يعني", "probability": 0.870849609375}, {"start": 611.76, "end": 612.34, "word": " الخط", "probability": 0.860107421875}, {"start": 612.34, "end": 612.78, "word": " فيتا", "probability": 0.95263671875}, {"start": 612.78, "end": 613.38, "word": " تساوي", "probability": 0.9886474609375}, {"start": 613.38, "end": 613.92, "word": " زيرو", "probability": 0.9786783854166666}, {"start": 613.92, "end": 614.58, "word": " بدي", "probability": 0.875244140625}, {"start": 614.58, "end": 615.14, "word": " أخد", "probability": 0.755126953125}, {"start": 615.14, "end": 615.62, "word": " طول", "probability": 0.995361328125}, {"start": 615.62, "end": 616.1, "word": " عليه", "probability": 0.91943359375}, {"start": 616.1, "end": 616.52, "word": " تساوي", "probability": 0.9244384765625}, {"start": 616.52, "end": 617.18, "word": " جداش", "probability": 0.9938151041666666}, {"start": 617.18, "end": 617.92, "word": " ستة", "probability": 0.97705078125}, {"start": 617.92, "end": 618.72, "word": " يبقى", "probability": 0.946533203125}, {"start": 618.72, "end": 619.02, "word": " هذه", "probability": 0.7099609375}, {"start": 619.02, "end": 619.46, "word": " النقطة", "probability": 0.9767252604166666}, {"start": 619.46, "end": 620.06, "word": " اليحداتي", "probability": 0.7244873046875}, {"start": 620.06, "end": 620.74, "word": " تبعها", "probability": 0.8868408203125}, {"start": 620.74, "end": 621.58, "word": " ستة", "probability": 0.9641927083333334}, {"start": 621.58, "end": 622.72, "word": " وزيرو", "probability": 0.924072265625}, {"start": 622.72, "end": 623.54, "word": " بعد", "probability": 0.76708984375}, {"start": 623.54, "end": 623.78, "word": " ذلك", "probability": 0.6842041015625}, {"start": 623.78, "end": 624.04, "word": " بدي", "probability": 0.537841796875}, {"start": 624.04, "end": 624.24, "word": " أتي", "probability": 0.6068115234375}, {"start": 624.24, "end": 625.06, "word": " تلاتين", "probability": 0.959716796875}, {"start": 625.06, "end": 625.62, "word": " درجة", "probability": 0.9923502604166666}, {"start": 625.62, "end": 625.88, "word": " بدي", "probability": 0.41619873046875}, {"start": 625.88, "end": 626.6, "word": " أرسم", "probability": 0.7263997395833334}, {"start": 626.6, "end": 627.24, "word": " الخط", "probability": 0.99072265625}, {"start": 627.24, "end": 627.72, "word": " فيتا", "probability": 0.9095052083333334}, {"start": 627.72, "end": 628.44, "word": " تساوي", "probability": 0.9842529296875}, {"start": 628.44, "end": 629.98, "word": " تلاتين", "probability": 0.9864501953125}, {"start": 629.98, "end": 630.68, "word": " درجة", "probability": 0.9954427083333334}], "temperature": 1.0}, {"id": 29, "seek": 65949, "start": 631.17, "end": 659.49, "text": "بالشكل اللي عملنا هذا يبقى هذا الخط اللي هو ستة تساوي تلاتين درجة تمام؟ على تلاتين درجة بدي أجيس كده؟ خمسة وأربعة من عشرة يعني أقل من ستة بشوية يبقى هذا خمسة وأربعة من عشرة بعد التلاتين بدي أخد ستين درجة يبقى هذه ستين درجة", "tokens": [3555, 6027, 8592, 28820, 13672, 1829, 6225, 42213, 8315, 23758, 7251, 3555, 4587, 7578, 23758, 33962, 9566, 13672, 1829, 31439, 8608, 2655, 3660, 6055, 3794, 995, 45865, 6055, 1211, 9307, 9957, 11778, 47341, 3660, 46811, 10943, 22807, 15844, 6055, 1211, 9307, 9957, 11778, 47341, 3660, 4724, 16254, 5551, 7435, 1829, 3794, 9122, 3215, 3224, 22807, 16490, 2304, 3794, 3660, 36725, 25513, 27884, 9154, 6225, 8592, 25720, 37495, 22653, 5551, 4587, 1211, 9154, 8608, 2655, 3660, 4724, 8592, 2407, 10632, 7251, 3555, 4587, 7578, 23758, 16490, 2304, 3794, 3660, 36725, 25513, 27884, 9154, 6225, 8592, 25720, 39182, 16712, 1211, 9307, 9957, 4724, 16254, 5551, 9778, 3215, 8608, 2655, 9957, 11778, 47341, 3660, 7251, 3555, 4587, 7578, 29538, 8608, 2655, 9957, 11778, 47341, 3660], "avg_logprob": -0.1765751959831734, "compression_ratio": 2.247191011235955, "no_speech_prob": 0.0, "words": [{"start": 631.17, "end": 631.71, "word": "بالشكل", "probability": 0.60223388671875}, {"start": 631.71, "end": 631.85, "word": " اللي", "probability": 0.87255859375}, {"start": 631.85, "end": 632.17, "word": " عملنا", "probability": 0.673095703125}, {"start": 632.17, "end": 632.53, "word": " هذا", "probability": 0.505859375}, {"start": 632.53, "end": 633.35, "word": " يبقى", "probability": 0.67547607421875}, {"start": 633.35, "end": 633.67, "word": " هذا", "probability": 0.79443359375}, {"start": 633.67, "end": 634.47, "word": " الخط", "probability": 0.5283203125}, {"start": 634.47, "end": 635.47, "word": " اللي", "probability": 0.8291015625}, {"start": 635.47, "end": 635.99, "word": " هو", "probability": 0.94384765625}, {"start": 635.99, "end": 636.95, "word": " ستة", "probability": 0.7115071614583334}, {"start": 636.95, "end": 637.69, "word": " تساوي", "probability": 0.92041015625}, {"start": 637.69, "end": 638.95, "word": " تلاتين", "probability": 0.95654296875}, {"start": 638.95, "end": 639.87, "word": " درجة", "probability": 0.9899088541666666}, {"start": 639.87, "end": 641.31, "word": " تمام؟", "probability": 0.6363118489583334}, {"start": 641.31, "end": 641.57, "word": " على", "probability": 0.41455078125}, {"start": 641.57, "end": 642.15, "word": " تلاتين", "probability": 0.9874267578125}, {"start": 642.15, "end": 642.59, "word": " درجة", "probability": 0.9964192708333334}, {"start": 642.59, "end": 642.85, "word": " بدي", "probability": 0.597412109375}, {"start": 642.85, "end": 643.25, "word": " أجيس", "probability": 0.72216796875}, {"start": 643.25, "end": 643.93, "word": " كده؟", "probability": 0.771484375}, {"start": 643.93, "end": 644.53, "word": " خمسة", "probability": 0.909912109375}, {"start": 644.53, "end": 645.05, "word": " وأربعة", "probability": 0.8382161458333334}, {"start": 645.05, "end": 645.25, "word": " من", "probability": 0.9931640625}, {"start": 645.25, "end": 645.59, "word": " عشرة", "probability": 0.84033203125}, {"start": 645.59, "end": 646.01, "word": " يعني", "probability": 0.899169921875}, {"start": 646.01, "end": 646.47, "word": " أقل", "probability": 0.9484049479166666}, {"start": 646.47, "end": 646.69, "word": " من", "probability": 0.99365234375}, {"start": 646.69, "end": 647.19, "word": " ستة", "probability": 0.9793294270833334}, {"start": 647.19, "end": 647.89, "word": " بشوية", "probability": 0.90283203125}, {"start": 647.89, "end": 649.05, "word": " يبقى", "probability": 0.96435546875}, {"start": 649.05, "end": 649.57, "word": " هذا", "probability": 0.9384765625}, {"start": 649.57, "end": 650.39, "word": " خمسة", "probability": 0.9906005859375}, {"start": 650.39, "end": 651.27, "word": " وأربعة", "probability": 0.9637044270833334}, {"start": 651.27, "end": 651.79, "word": " من", "probability": 0.994140625}, {"start": 651.79, "end": 652.51, "word": " عشرة", "probability": 0.9306640625}, {"start": 652.51, "end": 653.65, "word": " بعد", "probability": 0.91650390625}, {"start": 653.65, "end": 654.53, "word": " التلاتين", "probability": 0.961181640625}, {"start": 654.53, "end": 654.85, "word": " بدي", "probability": 0.9384765625}, {"start": 654.85, "end": 655.21, "word": " أخد", "probability": 0.8904622395833334}, {"start": 655.21, "end": 656.07, "word": " ستين", "probability": 0.97412109375}, {"start": 656.07, "end": 656.75, "word": " درجة", "probability": 0.998046875}, {"start": 656.75, "end": 657.21, "word": " يبقى", "probability": 0.969482421875}, {"start": 657.21, "end": 657.51, "word": " هذه", "probability": 0.5107421875}, {"start": 657.51, "end": 658.85, "word": " ستين", "probability": 0.9845377604166666}, {"start": 658.85, "end": 659.49, "word": " درجة", "probability": 0.99853515625}], "temperature": 1.0}, {"id": 30, "seek": 68819, "start": 660.01, "end": 688.19, "text": "ستين درجة بدي أخد عليها طول أربعة يعني أقل شوية يبقى أقل شوية يبقى هذه تلاتين درجة هذه ستين درجة عند التسعين درجة بدي أخد الطول اللي هو قداشر الإتنين تمام عند المية وعشرين درجة يبقى هذه المية وعشرين درجة هذه", "tokens": [3794, 2655, 9957, 11778, 47341, 3660, 4724, 16254, 5551, 9778, 3215, 25894, 11296, 23032, 12610, 5551, 25513, 27884, 37495, 22653, 5551, 4587, 1211, 13412, 2407, 10632, 7251, 3555, 4587, 7578, 5551, 4587, 1211, 13412, 2407, 10632, 7251, 3555, 4587, 7578, 29538, 6055, 1211, 9307, 9957, 11778, 47341, 3660, 29538, 8608, 2655, 9957, 11778, 47341, 3660, 43242, 16712, 3794, 3615, 9957, 11778, 47341, 3660, 4724, 16254, 5551, 9778, 3215, 41950, 12610, 13672, 1829, 31439, 12174, 3215, 33599, 2288, 33688, 2655, 1863, 9957, 46811, 10943, 43242, 9673, 10632, 4032, 3615, 46309, 9957, 11778, 47341, 3660, 7251, 3555, 4587, 7578, 29538, 9673, 10632, 4032, 3615, 46309, 9957, 11778, 47341, 3660, 29538], "avg_logprob": -0.15567660222359753, "compression_ratio": 2.4285714285714284, "no_speech_prob": 0.0, "words": [{"start": 660.01, "end": 660.81, "word": "ستين", "probability": 0.6182454427083334}, {"start": 660.81, "end": 661.27, "word": " درجة", "probability": 0.9910481770833334}, {"start": 661.27, "end": 661.55, "word": " بدي", "probability": 0.503387451171875}, {"start": 661.55, "end": 661.95, "word": " أخد", "probability": 0.7469075520833334}, {"start": 661.95, "end": 662.41, "word": " عليها", "probability": 0.97900390625}, {"start": 662.41, "end": 662.95, "word": " طول", "probability": 0.827880859375}, {"start": 662.95, "end": 663.59, "word": " أربعة", "probability": 0.8411458333333334}, {"start": 663.59, "end": 663.97, "word": " يعني", "probability": 0.658935546875}, {"start": 663.97, "end": 664.51, "word": " أقل", "probability": 0.9568684895833334}, {"start": 664.51, "end": 665.27, "word": " شوية", "probability": 0.88427734375}, {"start": 665.27, "end": 666.47, "word": " يبقى", "probability": 0.896728515625}, {"start": 666.47, "end": 666.93, "word": " أقل", "probability": 0.9845377604166666}, {"start": 666.93, "end": 667.59, "word": " شوية", "probability": 0.9830729166666666}, {"start": 667.59, "end": 668.57, "word": " يبقى", "probability": 0.9486083984375}, {"start": 668.57, "end": 668.95, "word": " هذه", "probability": 0.8779296875}, {"start": 668.95, "end": 669.95, "word": " تلاتين", "probability": 0.9595947265625}, {"start": 669.95, "end": 670.65, "word": " درجة", "probability": 0.9977213541666666}, {"start": 670.65, "end": 671.05, "word": " هذه", "probability": 0.55029296875}, {"start": 671.05, "end": 671.97, "word": " ستين", "probability": 0.9816080729166666}, {"start": 671.97, "end": 672.73, "word": " درجة", "probability": 0.9977213541666666}, {"start": 672.73, "end": 673.43, "word": " عند", "probability": 0.7431640625}, {"start": 673.43, "end": 674.23, "word": " التسعين", "probability": 0.9498291015625}, {"start": 674.23, "end": 674.77, "word": " درجة", "probability": 0.9970703125}, {"start": 674.77, "end": 675.11, "word": " بدي", "probability": 0.928466796875}, {"start": 675.11, "end": 675.53, "word": " أخد", "probability": 0.9720052083333334}, {"start": 675.53, "end": 675.95, "word": " الطول", "probability": 0.76953125}, {"start": 675.95, "end": 676.11, "word": " اللي", "probability": 0.928955078125}, {"start": 676.11, "end": 676.27, "word": " هو", "probability": 0.97607421875}, {"start": 676.27, "end": 677.49, "word": " قداشر", "probability": 0.80712890625}, {"start": 677.49, "end": 678.65, "word": " الإتنين", "probability": 0.743927001953125}, {"start": 678.65, "end": 679.87, "word": " تمام", "probability": 0.82275390625}, {"start": 679.87, "end": 680.43, "word": " عند", "probability": 0.70361328125}, {"start": 680.43, "end": 680.99, "word": " المية", "probability": 0.80419921875}, {"start": 680.99, "end": 682.01, "word": " وعشرين", "probability": 0.883544921875}, {"start": 682.01, "end": 682.65, "word": " درجة", "probability": 0.9978841145833334}, {"start": 682.65, "end": 683.13, "word": " يبقى", "probability": 0.97900390625}, {"start": 683.13, "end": 683.47, "word": " هذه", "probability": 0.90966796875}, {"start": 683.47, "end": 684.13, "word": " المية", "probability": 0.953125}, {"start": 684.13, "end": 685.53, "word": " وعشرين", "probability": 0.960693359375}, {"start": 685.53, "end": 686.31, "word": " درجة", "probability": 0.9978841145833334}, {"start": 686.31, "end": 688.19, "word": " هذه", "probability": 0.64404296875}], "temperature": 1.0}, {"id": 31, "seek": 71722, "start": 688.8, "end": 717.22, "text": "يكون الـ120 درجة بالشكل هذا يبقى ثيتا تساوي 120 درجة بتاخد عليها طول جداش Zero يبقى وقفنا على نقطة الأصل بعد ال 120 جينا ل 150 150 بالشكل هذا يبقى ثيتا تساوي 150 درجة بتاخد عليها طول جداش", "tokens": [1829, 30544, 2423, 39184, 28829, 11778, 47341, 3660, 20666, 8592, 28820, 23758, 7251, 3555, 4587, 7578, 38637, 36081, 995, 6055, 3794, 995, 45865, 10411, 11778, 47341, 3660, 39894, 47283, 3215, 25894, 11296, 23032, 12610, 10874, 3215, 33599, 17182, 7251, 3555, 4587, 7578, 4032, 4587, 5172, 8315, 15844, 8717, 47432, 3660, 16247, 36520, 39182, 2423, 10411, 10874, 1829, 8315, 5296, 8451, 8451, 20666, 8592, 28820, 23758, 7251, 3555, 4587, 7578, 38637, 36081, 995, 6055, 3794, 995, 45865, 8451, 11778, 47341, 3660, 39894, 47283, 3215, 25894, 11296, 23032, 12610, 10874, 3215, 33599], "avg_logprob": -0.22424450778699184, "compression_ratio": 2.032258064516129, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 688.8, "end": 689.2, "word": "يكون", "probability": 0.331298828125}, {"start": 689.2, "end": 690.26, "word": " الـ120", "probability": 0.4794108072916667}, {"start": 690.26, "end": 691.54, "word": " درجة", "probability": 0.9344075520833334}, {"start": 691.54, "end": 692.06, "word": " بالشكل", "probability": 0.892578125}, {"start": 692.06, "end": 692.38, "word": " هذا", "probability": 0.81103515625}, {"start": 692.38, "end": 693.3, "word": " يبقى", "probability": 0.8897705078125}, {"start": 693.3, "end": 693.76, "word": " ثيتا", "probability": 0.6104736328125}, {"start": 693.76, "end": 694.42, "word": " تساوي", "probability": 0.90283203125}, {"start": 694.42, "end": 695.3, "word": " 120", "probability": 0.50732421875}, {"start": 695.3, "end": 696.24, "word": " درجة", "probability": 0.9884440104166666}, {"start": 696.24, "end": 697.14, "word": " بتاخد", "probability": 0.656982421875}, {"start": 697.14, "end": 697.54, "word": " عليها", "probability": 0.946533203125}, {"start": 697.54, "end": 697.92, "word": " طول", "probability": 0.94384765625}, {"start": 697.92, "end": 698.9, "word": " جداش", "probability": 0.71728515625}, {"start": 698.9, "end": 699.88, "word": " Zero", "probability": 0.36865234375}, {"start": 699.88, "end": 700.9, "word": " يبقى", "probability": 0.94091796875}, {"start": 700.9, "end": 701.54, "word": " وقفنا", "probability": 0.8773193359375}, {"start": 701.54, "end": 701.78, "word": " على", "probability": 0.75244140625}, {"start": 701.78, "end": 703.88, "word": " نقطة", "probability": 0.8507486979166666}, {"start": 703.88, "end": 704.5, "word": " الأصل", "probability": 0.8916015625}, {"start": 704.5, "end": 705.34, "word": " بعد", "probability": 0.712890625}, {"start": 705.34, "end": 705.58, "word": " ال", "probability": 0.70068359375}, {"start": 705.58, "end": 706.12, "word": " 120", "probability": 0.358154296875}, {"start": 706.12, "end": 706.62, "word": " جينا", "probability": 0.9192708333333334}, {"start": 706.62, "end": 706.74, "word": " ل", "probability": 0.63623046875}, {"start": 706.74, "end": 707.54, "word": " 150", "probability": 0.576171875}, {"start": 707.54, "end": 709.42, "word": " 150", "probability": 0.8037109375}, {"start": 709.42, "end": 710.94, "word": " بالشكل", "probability": 0.98388671875}, {"start": 710.94, "end": 711.32, "word": " هذا", "probability": 0.95751953125}, {"start": 711.32, "end": 712.3, "word": " يبقى", "probability": 0.9822998046875}, {"start": 712.3, "end": 712.78, "word": " ثيتا", "probability": 0.8919270833333334}, {"start": 712.78, "end": 713.44, "word": " تساوي", "probability": 0.978271484375}, {"start": 713.44, "end": 714.3, "word": " 150", "probability": 0.95947265625}, {"start": 714.3, "end": 715.14, "word": " درجة", "probability": 0.9894205729166666}, {"start": 715.14, "end": 715.9, "word": " بتاخد", "probability": 0.9088541666666666}, {"start": 715.9, "end": 716.2, "word": " عليها", "probability": 0.984375}, {"start": 716.2, "end": 716.48, "word": " طول", "probability": 0.948486328125}, {"start": 716.48, "end": 717.22, "word": " جداش", "probability": 0.9847005208333334}], "temperature": 1.0}, {"id": 32, "seek": 74152, "start": 717.88, "end": 741.52, "text": "يبقى السالب هي فوق المية وخمسة يبقى هاي يجيس وين في الخلف يبقى سالب واحد واربعة من عشرة هي سالب واحد واربعة من عشرة بعد المية و تمانين درجة يبقى هذه المية و تمانين درجة يجيس عليها وين سالب اتنين في الخلف يبقى هاي سالب اتنين", "tokens": [1829, 3555, 4587, 7578, 21136, 6027, 3555, 39896, 6156, 30543, 9673, 10632, 4032, 9778, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 8032, 47302, 7251, 7435, 1829, 3794, 4032, 9957, 8978, 33962, 46538, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 36764, 24401, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 39896, 8608, 6027, 3555, 36764, 24401, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 39182, 9673, 10632, 4032, 46811, 7649, 9957, 11778, 47341, 3660, 7251, 3555, 4587, 7578, 29538, 9673, 10632, 4032, 46811, 7649, 9957, 11778, 47341, 3660, 7251, 7435, 1829, 3794, 25894, 11296, 4032, 9957, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 8978, 33962, 46538, 7251, 3555, 4587, 7578, 8032, 47302, 8608, 6027, 3555, 1975, 2655, 1863, 9957], "avg_logprob": -0.20456933223900675, "compression_ratio": 2.587096774193548, "no_speech_prob": 0.0, "words": [{"start": 717.88, "end": 718.4, "word": "يبقى", "probability": 0.80712890625}, {"start": 718.4, "end": 719.04, "word": " السالب", "probability": 0.8142903645833334}, {"start": 719.04, "end": 719.32, "word": " هي", "probability": 0.65478515625}, {"start": 719.32, "end": 719.9, "word": " فوق", "probability": 0.904296875}, {"start": 719.9, "end": 720.32, "word": " المية", "probability": 0.36480712890625}, {"start": 720.32, "end": 720.88, "word": " وخمسة", "probability": 0.78056640625}, {"start": 720.88, "end": 721.1, "word": " يبقى", "probability": 0.75665283203125}, {"start": 721.1, "end": 721.2, "word": " هاي", "probability": 0.162078857421875}, {"start": 721.2, "end": 721.78, "word": " يجيس", "probability": 0.59747314453125}, {"start": 721.78, "end": 722.26, "word": " وين", "probability": 0.6575927734375}, {"start": 722.26, "end": 722.94, "word": " في", "probability": 0.623046875}, {"start": 722.94, "end": 723.6, "word": " الخلف", "probability": 0.947021484375}, {"start": 723.6, "end": 724.1, "word": " يبقى", "probability": 0.95361328125}, {"start": 724.1, "end": 724.58, "word": " سالب", "probability": 0.9108072916666666}, {"start": 724.58, "end": 724.96, "word": " واحد", "probability": 0.900146484375}, {"start": 724.96, "end": 725.54, "word": " واربعة", "probability": 0.880859375}, {"start": 725.54, "end": 725.78, "word": " من", "probability": 0.99169921875}, {"start": 725.78, "end": 726.32, "word": " عشرة", "probability": 0.9231770833333334}, {"start": 726.32, "end": 727.0, "word": " هي", "probability": 0.6640625}, {"start": 727.0, "end": 727.6, "word": " سالب", "probability": 0.9742838541666666}, {"start": 727.6, "end": 728.02, "word": " واحد", "probability": 0.902099609375}, {"start": 728.02, "end": 728.84, "word": " واربعة", "probability": 0.9603271484375}, {"start": 728.84, "end": 729.26, "word": " من", "probability": 0.994140625}, {"start": 729.26, "end": 729.76, "word": " عشرة", "probability": 0.95556640625}, {"start": 729.76, "end": 730.8, "word": " بعد", "probability": 0.83349609375}, {"start": 730.8, "end": 731.3, "word": " المية", "probability": 0.896728515625}, {"start": 731.3, "end": 731.46, "word": " و", "probability": 0.779296875}, {"start": 731.46, "end": 732.02, "word": " تمانين", "probability": 0.8805338541666666}, {"start": 732.02, "end": 732.54, "word": " درجة", "probability": 0.9827473958333334}, {"start": 732.54, "end": 733.02, "word": " يبقى", "probability": 0.9805908203125}, {"start": 733.02, "end": 733.3, "word": " هذه", "probability": 0.63671875}, {"start": 733.3, "end": 733.9, "word": " المية", "probability": 0.943603515625}, {"start": 733.9, "end": 734.12, "word": " و", "probability": 0.94873046875}, {"start": 734.12, "end": 734.84, "word": " تمانين", "probability": 0.97998046875}, {"start": 734.84, "end": 735.24, "word": " درجة", "probability": 0.9934895833333334}, {"start": 735.24, "end": 735.8, "word": " يجيس", "probability": 0.78607177734375}, {"start": 735.8, "end": 736.14, "word": " عليها", "probability": 0.972412109375}, {"start": 736.14, "end": 736.56, "word": " وين", "probability": 0.929443359375}, {"start": 736.56, "end": 737.62, "word": " سالب", "probability": 0.8855794270833334}, {"start": 737.62, "end": 738.18, "word": " اتنين", "probability": 0.9727783203125}, {"start": 738.18, "end": 738.4, "word": " في", "probability": 0.9287109375}, {"start": 738.4, "end": 739.0, "word": " الخلف", "probability": 0.9638671875}, {"start": 739.0, "end": 739.6, "word": " يبقى", "probability": 0.9354248046875}, {"start": 739.6, "end": 739.94, "word": " هاي", "probability": 0.791748046875}, {"start": 739.94, "end": 740.86, "word": " سالب", "probability": 0.9899088541666666}, {"start": 740.86, "end": 741.52, "word": " اتنين", "probability": 0.8511962890625}], "temperature": 1.0}, {"id": 33, "seek": 76365, "start": 742.89, "end": 763.65, "text": "الان بدي اوصل بين هذه النقاط و بدي امشي براحة شوية شوية زي ما كنت ماشي في الرسم و جينا هنا و رجعنا هنا كويس؟ يبقى هذا الملحنة اللي احنا ماشينا مع النقاط عليه", "tokens": [6027, 7649, 4724, 16254, 1975, 2407, 36520, 49374, 29538, 28239, 4587, 41193, 4032, 4724, 16254, 1975, 2304, 8592, 1829, 4724, 23557, 5016, 3660, 13412, 2407, 10632, 13412, 2407, 10632, 30767, 1829, 19446, 9122, 29399, 3714, 33599, 1829, 8978, 34892, 38251, 4032, 10874, 1829, 8315, 34105, 4032, 12602, 7435, 3615, 8315, 34105, 9122, 45865, 3794, 22807, 7251, 3555, 4587, 7578, 23758, 9673, 1211, 5016, 1863, 3660, 13672, 1829, 1975, 5016, 8315, 3714, 33599, 1829, 8315, 20449, 28239, 4587, 41193, 47356], "avg_logprob": -0.21484374534338713, "compression_ratio": 1.8986486486486487, "no_speech_prob": 0.0, "words": [{"start": 742.89, "end": 743.33, "word": "الان", "probability": 0.84375}, {"start": 743.33, "end": 743.55, "word": " بدي", "probability": 0.31396484375}, {"start": 743.55, "end": 744.31, "word": " اوصل", "probability": 0.6767578125}, {"start": 744.31, "end": 744.71, "word": " بين", "probability": 0.943359375}, {"start": 744.71, "end": 745.33, "word": " هذه", "probability": 0.93798828125}, {"start": 745.33, "end": 746.33, "word": " النقاط", "probability": 0.9088541666666666}, {"start": 746.33, "end": 746.85, "word": " و", "probability": 0.59375}, {"start": 746.85, "end": 747.15, "word": " بدي", "probability": 0.810791015625}, {"start": 747.15, "end": 747.69, "word": " امشي", "probability": 0.9293212890625}, {"start": 747.69, "end": 748.33, "word": " براحة", "probability": 0.8563232421875}, {"start": 748.33, "end": 748.79, "word": " شوية", "probability": 0.8556315104166666}, {"start": 748.79, "end": 749.35, "word": " شوية", "probability": 0.98779296875}, {"start": 749.35, "end": 749.67, "word": " زي", "probability": 0.8984375}, {"start": 749.67, "end": 749.83, "word": " ما", "probability": 0.95458984375}, {"start": 749.83, "end": 750.17, "word": " كنت", "probability": 0.97265625}, {"start": 750.17, "end": 750.59, "word": " ماشي", "probability": 0.9475911458333334}, {"start": 750.59, "end": 750.73, "word": " في", "probability": 0.6923828125}, {"start": 750.73, "end": 751.35, "word": " الرسم", "probability": 0.975341796875}, {"start": 751.35, "end": 752.95, "word": " و", "probability": 0.31591796875}, {"start": 752.95, "end": 753.43, "word": " جينا", "probability": 0.9588216145833334}, {"start": 753.43, "end": 753.91, "word": " هنا", "probability": 0.9716796875}, {"start": 753.91, "end": 754.13, "word": " و", "probability": 0.9892578125}, {"start": 754.13, "end": 754.75, "word": " رجعنا", "probability": 0.893798828125}, {"start": 754.75, "end": 755.11, "word": " هنا", "probability": 0.421630859375}, {"start": 755.11, "end": 756.67, "word": " كويس؟", "probability": 0.64495849609375}, {"start": 756.67, "end": 757.39, "word": " يبقى", "probability": 0.9462890625}, {"start": 757.39, "end": 757.69, "word": " هذا", "probability": 0.68359375}, {"start": 757.69, "end": 759.03, "word": " الملحنة", "probability": 0.7806640625}, {"start": 759.03, "end": 759.39, "word": " اللي", "probability": 0.839599609375}, {"start": 759.39, "end": 760.85, "word": " احنا", "probability": 0.9680989583333334}, {"start": 760.85, "end": 762.03, "word": " ماشينا", "probability": 0.8402099609375}, {"start": 762.03, "end": 762.31, "word": " مع", "probability": 0.97216796875}, {"start": 762.31, "end": 763.17, "word": " النقاط", "probability": 0.9632161458333334}, {"start": 763.17, "end": 763.65, "word": " عليه", "probability": 0.8876953125}], "temperature": 1.0}, {"id": 34, "seek": 79336, "start": 765.36, "end": 793.36, "text": "جالي هنا الملحنة متمثل بالنسبة لمحور X يعني الرسم اللي فوق محور X تماما مثل الرسم اللي تحت محور X هذا الأن أسفل محور X إذا بيظهر جزء زيها أعلى محور X بهذا الشكل تمام الجوز اللي فوق بيظهر جوز تاني زيه بهذا الشكل", "tokens": [7435, 6027, 1829, 34105, 9673, 1211, 5016, 1863, 3660, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 37495, 22653, 34892, 38251, 13672, 1829, 6156, 30543, 3714, 5016, 13063, 1783, 46811, 10943, 995, 50113, 1211, 34892, 38251, 13672, 1829, 6055, 33753, 3714, 5016, 13063, 1783, 23758, 16247, 1863, 5551, 3794, 5172, 1211, 3714, 5016, 13063, 1783, 11933, 15730, 4724, 1829, 19913, 3224, 2288, 10874, 11622, 38207, 30767, 1829, 11296, 5551, 3615, 23942, 3714, 5016, 13063, 1783, 39627, 15730, 25124, 28820, 46811, 10943, 25724, 2407, 11622, 13672, 1829, 6156, 30543, 4724, 1829, 19913, 3224, 2288, 10874, 2407, 11622, 6055, 7649, 1829, 30767, 1829, 3224, 39627, 15730, 25124, 28820], "avg_logprob": -0.12865990534559027, "compression_ratio": 2.1502890173410405, "no_speech_prob": 0.0, "words": [{"start": 765.36, "end": 765.96, "word": "جالي", "probability": 0.5240071614583334}, {"start": 765.96, "end": 766.24, "word": " هنا", "probability": 0.70849609375}, {"start": 766.24, "end": 766.94, "word": " الملحنة", "probability": 0.84296875}, {"start": 766.94, "end": 767.74, "word": " متمثل", "probability": 0.9254150390625}, {"start": 767.74, "end": 768.28, "word": " بالنسبة", "probability": 0.9794921875}, {"start": 768.28, "end": 768.88, "word": " لمحور", "probability": 0.9475911458333334}, {"start": 768.88, "end": 769.1, "word": " X", "probability": 0.6328125}, {"start": 769.1, "end": 769.46, "word": " يعني", "probability": 0.856689453125}, {"start": 769.46, "end": 769.94, "word": " الرسم", "probability": 0.931640625}, {"start": 769.94, "end": 770.14, "word": " اللي", "probability": 0.837890625}, {"start": 770.14, "end": 770.46, "word": " فوق", "probability": 0.978515625}, {"start": 770.46, "end": 770.9, "word": " محور", "probability": 0.96142578125}, {"start": 770.9, "end": 771.3, "word": " X", "probability": 0.98388671875}, {"start": 771.3, "end": 772.5, "word": " تماما", "probability": 0.9920247395833334}, {"start": 772.5, "end": 772.98, "word": " مثل", "probability": 0.791259765625}, {"start": 772.98, "end": 773.56, "word": " الرسم", "probability": 0.982177734375}, {"start": 773.56, "end": 774.12, "word": " اللي", "probability": 0.75390625}, {"start": 774.12, "end": 774.5, "word": " تحت", "probability": 0.978271484375}, {"start": 774.5, "end": 775.16, "word": " محور", "probability": 0.9786783854166666}, {"start": 775.16, "end": 775.56, "word": " X", "probability": 0.99609375}, {"start": 775.56, "end": 776.66, "word": " هذا", "probability": 0.41796875}, {"start": 776.66, "end": 777.32, "word": " الأن", "probability": 0.73388671875}, {"start": 777.32, "end": 778.2, "word": " أسفل", "probability": 0.9427490234375}, {"start": 778.2, "end": 778.78, "word": " محور", "probability": 0.9708658854166666}, {"start": 778.78, "end": 779.18, "word": " X", "probability": 0.9921875}, {"start": 779.18, "end": 779.56, "word": " إذا", "probability": 0.69287109375}, {"start": 779.56, "end": 781.32, "word": " بيظهر", "probability": 0.95888671875}, {"start": 781.32, "end": 781.94, "word": " جزء", "probability": 0.9871419270833334}, {"start": 781.94, "end": 782.74, "word": " زيها", "probability": 0.9095052083333334}, {"start": 782.74, "end": 783.32, "word": " أعلى", "probability": 0.95751953125}, {"start": 783.32, "end": 784.0, "word": " محور", "probability": 0.9899088541666666}, {"start": 784.0, "end": 784.52, "word": " X", "probability": 0.9931640625}, {"start": 784.52, "end": 785.0, "word": " بهذا", "probability": 0.88330078125}, {"start": 785.0, "end": 785.52, "word": " الشكل", "probability": 0.988525390625}, {"start": 785.52, "end": 787.0, "word": " تمام", "probability": 0.904296875}, {"start": 787.0, "end": 788.28, "word": " الجوز", "probability": 0.511474609375}, {"start": 788.28, "end": 788.58, "word": " اللي", "probability": 0.973388671875}, {"start": 788.58, "end": 789.1, "word": " فوق", "probability": 0.979736328125}, {"start": 789.1, "end": 789.88, "word": " بيظهر", "probability": 0.89189453125}, {"start": 789.88, "end": 790.32, "word": " جوز", "probability": 0.9466145833333334}, {"start": 790.32, "end": 790.9, "word": " تاني", "probability": 0.9558919270833334}, {"start": 790.9, "end": 791.82, "word": " زيه", "probability": 0.9806315104166666}, {"start": 791.82, "end": 792.64, "word": " بهذا", "probability": 0.979248046875}, {"start": 792.64, "end": 793.36, "word": " الشكل", "probability": 0.987548828125}], "temperature": 1.0}, {"id": 35, "seek": 81813, "start": 794.91, "end": 818.13, "text": "تمام؟ يبقى هذا الملحنة اللي هو Limison with inner lob هى العروة الداخلية ظهرت عندنا تمام؟ يبقى هذا اللى اسمه Limison with inner lob آخر نقطة كانت النقطة هذه اللى سالب اتنين وبعيد لأحدثيات النقطة اللى عندنا هذا", "tokens": [2655, 15042, 2304, 22807, 7251, 3555, 4587, 7578, 23758, 9673, 1211, 5016, 1863, 3660, 13672, 1829, 31439, 16406, 2770, 365, 7284, 14366, 8032, 7578, 18863, 32887, 3660, 32748, 47283, 1211, 10632, 1357, 116, 3224, 43500, 43242, 8315, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 23758, 13672, 7578, 24525, 2304, 3224, 16406, 2770, 365, 7284, 14366, 19753, 34740, 8717, 47432, 3660, 25961, 2655, 28239, 47432, 3660, 29538, 13672, 7578, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 4032, 3555, 3615, 25708, 5296, 10721, 24401, 12984, 1829, 9307, 28239, 47432, 3660, 13672, 7578, 43242, 8315, 23758], "avg_logprob": -0.2784242167117748, "compression_ratio": 1.8148148148148149, "no_speech_prob": 0.0, "words": [{"start": 794.91, "end": 796.03, "word": "تمام؟", "probability": 0.6389617919921875}, {"start": 796.03, "end": 796.53, "word": " يبقى", "probability": 0.8990478515625}, {"start": 796.53, "end": 796.85, "word": " هذا", "probability": 0.8876953125}, {"start": 796.85, "end": 797.95, "word": " الملحنة", "probability": 0.80908203125}, {"start": 797.95, "end": 798.49, "word": " اللي", "probability": 0.85302734375}, {"start": 798.49, "end": 798.67, "word": " هو", "probability": 0.943359375}, {"start": 798.67, "end": 799.31, "word": " Limison", "probability": 0.3719482421875}, {"start": 799.31, "end": 799.65, "word": " with", "probability": 0.8095703125}, {"start": 799.65, "end": 800.17, "word": " inner", "probability": 0.65478515625}, {"start": 800.17, "end": 800.61, "word": " lob", "probability": 0.5517578125}, {"start": 800.61, "end": 800.91, "word": " هى", "probability": 0.275634765625}, {"start": 800.91, "end": 801.59, "word": " العروة", "probability": 0.91943359375}, {"start": 801.59, "end": 802.41, "word": " الداخلية", "probability": 0.990478515625}, {"start": 802.41, "end": 803.15, "word": " ظهرت", "probability": 0.85479736328125}, {"start": 803.15, "end": 803.75, "word": " عندنا", "probability": 0.9892578125}, {"start": 803.75, "end": 804.77, "word": " تمام؟", "probability": 0.7718912760416666}, {"start": 804.77, "end": 805.51, "word": " يبقى", "probability": 0.9896240234375}, {"start": 805.51, "end": 805.89, "word": " هذا", "probability": 0.951171875}, {"start": 805.89, "end": 806.09, "word": " اللى", "probability": 0.5186767578125}, {"start": 806.09, "end": 806.35, "word": " اسمه", "probability": 0.9222005208333334}, {"start": 806.35, "end": 806.91, "word": " Limison", "probability": 0.916259765625}, {"start": 806.91, "end": 807.45, "word": " with", "probability": 0.92041015625}, {"start": 807.45, "end": 808.01, "word": " inner", "probability": 0.91845703125}, {"start": 808.01, "end": 808.45, "word": " lob", "probability": 0.92138671875}, {"start": 808.45, "end": 809.37, "word": " آخر", "probability": 0.75732421875}, {"start": 809.37, "end": 809.89, "word": " نقطة", "probability": 0.9747721354166666}, {"start": 809.89, "end": 810.35, "word": " كانت", "probability": 0.961669921875}, {"start": 810.35, "end": 810.91, "word": " النقطة", "probability": 0.96337890625}, {"start": 810.91, "end": 811.35, "word": " هذه", "probability": 0.68798828125}, {"start": 811.35, "end": 811.99, "word": " اللى", "probability": 0.844970703125}, {"start": 811.99, "end": 812.73, "word": " سالب", "probability": 0.5887858072916666}, {"start": 812.73, "end": 813.71, "word": " اتنين", "probability": 0.8961181640625}, {"start": 813.71, "end": 814.57, "word": " وبعيد", "probability": 0.5167236328125}, {"start": 814.57, "end": 815.91, "word": " لأحدثيات", "probability": 0.725341796875}, {"start": 815.91, "end": 816.85, "word": " النقطة", "probability": 0.95849609375}, {"start": 816.85, "end": 816.99, "word": " اللى", "probability": 0.979248046875}, {"start": 816.99, "end": 817.59, "word": " عندنا", "probability": 0.993896484375}, {"start": 817.59, "end": 818.13, "word": " هذا", "probability": 0.38916015625}], "temperature": 1.0}, {"id": 36, "seek": 84241, "start": 818.91, "end": 842.41, "text": "طب ايش رايك؟ هذا منحنى هطلق لك منه ستة عشر منحنى من المنحنى اللي عندنا هنا من خلال ملاحظاتنا شوف يا سيدي الآن بروح أعمم هذه الرسمة بدي أعممها كيف كالتالي بدي أخد النقطة الأولى", "tokens": [9566, 3555, 1975, 1829, 8592, 12602, 47302, 4117, 22807, 23758, 9154, 5016, 1863, 7578, 8032, 9566, 1211, 4587, 5296, 4117, 9154, 3224, 8608, 2655, 3660, 6225, 46309, 9154, 5016, 1863, 7578, 9154, 9673, 1863, 5016, 1863, 7578, 13672, 1829, 43242, 8315, 34105, 9154, 16490, 1211, 6027, 3714, 15040, 5016, 19913, 9307, 8315, 13412, 38688, 35186, 8608, 25708, 1829, 6024, 48506, 4724, 32887, 5016, 5551, 25957, 2304, 29538, 34892, 38251, 3660, 4724, 16254, 5551, 25957, 2304, 11296, 9122, 33911, 9122, 6027, 2655, 6027, 1829, 4724, 16254, 5551, 9778, 3215, 28239, 47432, 3660, 16247, 12610, 7578], "avg_logprob": -0.21430920801664655, "compression_ratio": 1.7954545454545454, "no_speech_prob": 0.0, "words": [{"start": 818.91, "end": 819.17, "word": "طب", "probability": 0.62255859375}, {"start": 819.17, "end": 819.41, "word": " ايش", "probability": 0.8046875}, {"start": 819.41, "end": 820.37, "word": " رايك؟", "probability": 0.8350830078125}, {"start": 820.37, "end": 820.73, "word": " هذا", "probability": 0.3701171875}, {"start": 820.73, "end": 821.65, "word": " منحنى", "probability": 0.8092041015625}, {"start": 821.65, "end": 822.53, "word": " هطلق", "probability": 0.82861328125}, {"start": 822.53, "end": 822.85, "word": " لك", "probability": 0.755859375}, {"start": 822.85, "end": 823.29, "word": " منه", "probability": 0.981689453125}, {"start": 823.29, "end": 823.87, "word": " ستة", "probability": 0.6441243489583334}, {"start": 823.87, "end": 824.29, "word": " عشر", "probability": 0.950927734375}, {"start": 824.29, "end": 825.07, "word": " منحنى", "probability": 0.9688720703125}, {"start": 825.07, "end": 826.97, "word": " من", "probability": 0.6650390625}, {"start": 826.97, "end": 827.67, "word": " المنحنى", "probability": 0.9611328125}, {"start": 827.67, "end": 827.81, "word": " اللي", "probability": 0.8720703125}, {"start": 827.81, "end": 828.15, "word": " عندنا", "probability": 0.666748046875}, {"start": 828.15, "end": 828.45, "word": " هنا", "probability": 0.79541015625}, {"start": 828.45, "end": 828.69, "word": " من", "probability": 0.6357421875}, {"start": 828.69, "end": 829.43, "word": " خلال", "probability": 0.9952799479166666}, {"start": 829.43, "end": 830.83, "word": " ملاحظاتنا", "probability": 0.9784342447916666}, {"start": 830.83, "end": 831.25, "word": " شوف", "probability": 0.771728515625}, {"start": 831.25, "end": 831.39, "word": " يا", "probability": 0.68994140625}, {"start": 831.39, "end": 831.73, "word": " سيدي", "probability": 0.7972005208333334}, {"start": 831.73, "end": 833.59, "word": " الآن", "probability": 0.6138916015625}, {"start": 833.59, "end": 834.31, "word": " بروح", "probability": 0.6433919270833334}, {"start": 834.31, "end": 834.91, "word": " أعمم", "probability": 0.79248046875}, {"start": 834.91, "end": 835.39, "word": " هذه", "probability": 0.96240234375}, {"start": 835.39, "end": 836.23, "word": " الرسمة", "probability": 0.96875}, {"start": 836.23, "end": 836.91, "word": " بدي", "probability": 0.6116943359375}, {"start": 836.91, "end": 837.49, "word": " أعممها", "probability": 0.95947265625}, {"start": 837.49, "end": 837.85, "word": " كيف", "probability": 0.878662109375}, {"start": 837.85, "end": 838.91, "word": " كالتالي", "probability": 0.775048828125}, {"start": 838.91, "end": 840.39, "word": " بدي", "probability": 0.844482421875}, {"start": 840.39, "end": 840.89, "word": " أخد", "probability": 0.9025065104166666}, {"start": 840.89, "end": 841.69, "word": " النقطة", "probability": 0.9697265625}, {"start": 841.69, "end": 842.41, "word": " الأولى", "probability": 0.9793294270833334}], "temperature": 1.0}, {"id": 37, "seek": 86717, "start": 843.01, "end": 867.17, "text": "أحنا معدلتنا هذه كانت R على الشكل التالي A وB بدي أخدهم أكبر من ال zero واندي A أقل من B و ال A أقل من B و المنحنى كان R يساوي A زائد B في cosine الزاوية", "tokens": [10721, 5016, 8315, 20449, 3215, 1211, 2655, 8315, 29538, 25961, 2655, 497, 15844, 25124, 28820, 16712, 6027, 1829, 316, 4032, 33, 4724, 16254, 5551, 9778, 3215, 16095, 5551, 4117, 26890, 9154, 2423, 4018, 4032, 7649, 16254, 316, 5551, 4587, 1211, 9154, 363, 4032, 2423, 316, 5551, 4587, 1211, 9154, 363, 4032, 9673, 1863, 5016, 1863, 7578, 25961, 497, 7251, 3794, 995, 45865, 316, 30767, 16373, 3215, 363, 8978, 23565, 6024, 110, 995, 2407, 10632], "avg_logprob": -0.2556250047683716, "compression_ratio": 1.585987261146497, "no_speech_prob": 0.0, "words": [{"start": 843.01, "end": 843.49, "word": "أحنا", "probability": 0.674407958984375}, {"start": 843.49, "end": 844.39, "word": " معدلتنا", "probability": 0.90380859375}, {"start": 844.39, "end": 844.83, "word": " هذه", "probability": 0.477783203125}, {"start": 844.83, "end": 845.65, "word": " كانت", "probability": 0.909423828125}, {"start": 845.65, "end": 846.23, "word": " R", "probability": 0.6611328125}, {"start": 846.23, "end": 847.07, "word": " على", "probability": 0.89599609375}, {"start": 847.07, "end": 847.79, "word": " الشكل", "probability": 0.96826171875}, {"start": 847.79, "end": 848.55, "word": " التالي", "probability": 0.9864908854166666}, {"start": 848.55, "end": 849.13, "word": " A", "probability": 0.615234375}, {"start": 849.13, "end": 850.27, "word": " وB", "probability": 0.77392578125}, {"start": 850.27, "end": 850.75, "word": " بدي", "probability": 0.4381103515625}, {"start": 850.75, "end": 851.21, "word": " أخدهم", "probability": 0.8824462890625}, {"start": 851.21, "end": 851.85, "word": " أكبر", "probability": 0.9342447916666666}, {"start": 851.85, "end": 852.13, "word": " من", "probability": 0.99462890625}, {"start": 852.13, "end": 852.39, "word": " ال", "probability": 0.86962890625}, {"start": 852.39, "end": 852.71, "word": " zero", "probability": 0.272216796875}, {"start": 852.71, "end": 853.79, "word": " واندي", "probability": 0.6625162760416666}, {"start": 853.79, "end": 854.35, "word": " A", "probability": 0.90625}, {"start": 854.35, "end": 855.35, "word": " أقل", "probability": 0.9591471354166666}, {"start": 855.35, "end": 855.71, "word": " من", "probability": 0.9921875}, {"start": 855.71, "end": 856.17, "word": " B", "probability": 0.97314453125}, {"start": 856.17, "end": 856.95, "word": " و", "probability": 0.56201171875}, {"start": 856.95, "end": 857.21, "word": " ال", "probability": 0.486083984375}, {"start": 857.21, "end": 857.75, "word": " A", "probability": 0.65966796875}, {"start": 857.75, "end": 858.97, "word": " أقل", "probability": 0.9847005208333334}, {"start": 858.97, "end": 859.31, "word": " من", "probability": 0.9970703125}, {"start": 859.31, "end": 859.71, "word": " B", "probability": 0.9873046875}, {"start": 859.71, "end": 860.35, "word": " و", "probability": 0.876953125}, {"start": 860.35, "end": 861.59, "word": " المنحنى", "probability": 0.8599609375}, {"start": 861.59, "end": 862.23, "word": " كان", "probability": 0.982421875}, {"start": 862.23, "end": 862.79, "word": " R", "probability": 0.89208984375}, {"start": 862.79, "end": 863.67, "word": " يساوي", "probability": 0.806884765625}, {"start": 863.67, "end": 864.19, "word": " A", "probability": 0.80419921875}, {"start": 864.19, "end": 865.11, "word": " زائد", "probability": 0.8414713541666666}, {"start": 865.11, "end": 865.55, "word": " B", "probability": 0.93408203125}, {"start": 865.55, "end": 865.93, "word": " في", "probability": 0.83837890625}, {"start": 865.93, "end": 866.61, "word": " cosine", "probability": 0.402099609375}, {"start": 866.61, "end": 867.17, "word": " الزاوية", "probability": 0.926171875}], "temperature": 1.0}, {"id": 38, "seek": 89646, "start": 869.2, "end": 896.46, "text": "هذا المنحنى هكذا هى ال A و هى ال B تمام؟ زى ما تلاحظ ال A أقل من B اتنين أقل من أربعة و ال A و ال B بالموجة بدنا نرسم المنحنى هذا هذا المنحنى لو روحت رسمته هيأخد الشكل التالي Iθ تساوي Zero و Iθ تساوي Pi على اتنين اللى همين المنحنى اللى هناك اللى عندنا", "tokens": [3224, 15730, 9673, 1863, 5016, 1863, 7578, 8032, 4117, 15730, 8032, 7578, 2423, 316, 4032, 8032, 7578, 2423, 363, 46811, 10943, 22807, 30767, 7578, 19446, 6055, 15040, 5016, 19913, 2423, 316, 5551, 4587, 1211, 9154, 363, 1975, 2655, 1863, 9957, 5551, 4587, 1211, 9154, 5551, 25513, 27884, 4032, 2423, 316, 4032, 2423, 363, 20666, 2304, 29245, 3660, 47525, 8315, 8717, 2288, 38251, 9673, 1863, 5016, 1863, 7578, 23758, 23758, 9673, 1863, 5016, 1863, 7578, 45164, 12602, 2407, 33753, 12602, 38251, 47395, 39896, 10721, 9778, 3215, 25124, 28820, 16712, 6027, 1829, 286, 9440, 6055, 3794, 995, 45865, 17182, 4032, 286, 9440, 6055, 3794, 995, 45865, 17741, 15844, 1975, 2655, 1863, 9957, 13672, 7578, 8032, 2304, 9957, 9673, 1863, 5016, 1863, 7578, 13672, 7578, 34105, 4117, 13672, 7578, 43242, 8315], "avg_logprob": -0.2086967054263566, "compression_ratio": 2.052380952380952, "no_speech_prob": 0.0, "words": [{"start": 869.2, "end": 869.6, "word": "هذا", "probability": 0.636962890625}, {"start": 869.6, "end": 870.1, "word": " المنحنى", "probability": 0.7912109375}, {"start": 870.1, "end": 870.92, "word": " هكذا", "probability": 0.6761881510416666}, {"start": 870.92, "end": 871.22, "word": " هى", "probability": 0.533935546875}, {"start": 871.22, "end": 871.4, "word": " ال", "probability": 0.77734375}, {"start": 871.4, "end": 871.56, "word": " A", "probability": 0.324462890625}, {"start": 871.56, "end": 871.76, "word": " و", "probability": 0.83447265625}, {"start": 871.76, "end": 872.04, "word": " هى", "probability": 0.80078125}, {"start": 872.04, "end": 872.24, "word": " ال", "probability": 0.9599609375}, {"start": 872.24, "end": 872.5, "word": " B", "probability": 0.9501953125}, {"start": 872.5, "end": 873.64, "word": " تمام؟", "probability": 0.7110188802083334}, {"start": 873.64, "end": 874.08, "word": " زى", "probability": 0.74853515625}, {"start": 874.08, "end": 874.18, "word": " ما", "probability": 0.95068359375}, {"start": 874.18, "end": 874.72, "word": " تلاحظ", "probability": 0.8992919921875}, {"start": 874.72, "end": 874.92, "word": " ال", "probability": 0.5205078125}, {"start": 874.92, "end": 875.12, "word": " A", "probability": 0.9423828125}, {"start": 875.12, "end": 875.52, "word": " أقل", "probability": 0.9344075520833334}, {"start": 875.52, "end": 875.66, "word": " من", "probability": 0.9853515625}, {"start": 875.66, "end": 875.84, "word": " B", "probability": 0.87109375}, {"start": 875.84, "end": 876.28, "word": " اتنين", "probability": 0.76416015625}, {"start": 876.28, "end": 876.84, "word": " أقل", "probability": 0.8875325520833334}, {"start": 876.84, "end": 877.1, "word": " من", "probability": 0.99609375}, {"start": 877.1, "end": 877.74, "word": " أربعة", "probability": 0.6593424479166666}, {"start": 877.74, "end": 878.22, "word": " و", "probability": 0.49462890625}, {"start": 878.22, "end": 878.38, "word": " ال", "probability": 0.75537109375}, {"start": 878.38, "end": 878.56, "word": " A", "probability": 0.9501953125}, {"start": 878.56, "end": 878.72, "word": " و", "probability": 0.98583984375}, {"start": 878.72, "end": 878.86, "word": " ال", "probability": 0.7587890625}, {"start": 878.86, "end": 879.06, "word": " B", "probability": 0.986328125}, {"start": 879.06, "end": 879.7, "word": " بالموجة", "probability": 0.9244384765625}, {"start": 879.7, "end": 880.04, "word": " بدنا", "probability": 0.91259765625}, {"start": 880.04, "end": 880.44, "word": " نرسم", "probability": 0.9928385416666666}, {"start": 880.44, "end": 881.16, "word": " المنحنى", "probability": 0.98212890625}, {"start": 881.16, "end": 881.5, "word": " هذا", "probability": 0.8857421875}, {"start": 881.5, "end": 882.2, "word": " هذا", "probability": 0.775390625}, {"start": 882.2, "end": 882.9, "word": " المنحنى", "probability": 0.98037109375}, {"start": 882.9, "end": 883.1, "word": " لو", "probability": 0.97265625}, {"start": 883.1, "end": 883.46, "word": " روحت", "probability": 0.8375651041666666}, {"start": 883.46, "end": 884.14, "word": " رسمته", "probability": 0.79443359375}, {"start": 884.14, "end": 884.9, "word": " هيأخد", "probability": 0.811767578125}, {"start": 884.9, "end": 885.58, "word": " الشكل", "probability": 0.98388671875}, {"start": 885.58, "end": 886.9, "word": " التالي", "probability": 0.87451171875}, {"start": 886.9, "end": 889.08, "word": " Iθ", "probability": 0.40576171875}, {"start": 889.08, "end": 889.78, "word": " تساوي", "probability": 0.8466796875}, {"start": 889.78, "end": 890.22, "word": " Zero", "probability": 0.6904296875}, {"start": 890.22, "end": 890.78, "word": " و", "probability": 0.7021484375}, {"start": 890.78, "end": 891.24, "word": " Iθ", "probability": 0.872802734375}, {"start": 891.24, "end": 891.96, "word": " تساوي", "probability": 0.9644775390625}, {"start": 891.96, "end": 892.44, "word": " Pi", "probability": 0.60205078125}, {"start": 892.44, "end": 892.74, "word": " على", "probability": 0.66455078125}, {"start": 892.74, "end": 893.24, "word": " اتنين", "probability": 0.932861328125}, {"start": 893.24, "end": 893.8, "word": " اللى", "probability": 0.4112548828125}, {"start": 893.8, "end": 894.34, "word": " همين", "probability": 0.7286783854166666}, {"start": 894.34, "end": 895.28, "word": " المنحنى", "probability": 0.95537109375}, {"start": 895.28, "end": 895.42, "word": " اللى", "probability": 0.9677734375}, {"start": 895.42, "end": 895.8, "word": " هناك", "probability": 0.94091796875}, {"start": 895.8, "end": 895.98, "word": " اللى", "probability": 0.96875}, {"start": 895.98, "end": 896.46, "word": " عندنا", "probability": 0.989013671875}], "temperature": 1.0}, {"id": 39, "seek": 91543, "start": 896.77, "end": 915.43, "text": "يبقى بعد هيك، أيش ما يكون الأرقام، اتنين، تلاتة، واحد، خمسة، جد ما يكون الملحنة هيطلع شكله بالشكل هذا هيك تمام؟ والشكل التاني هيك، وتجيلك العروة الداخلية بهذا الشكل", "tokens": [1829, 3555, 4587, 7578, 39182, 39896, 4117, 12399, 36632, 8592, 19446, 7251, 30544, 16247, 2288, 4587, 10943, 12399, 1975, 2655, 1863, 9957, 12399, 6055, 1211, 9307, 3660, 12399, 36764, 24401, 12399, 16490, 2304, 3794, 3660, 12399, 10874, 3215, 19446, 7251, 30544, 9673, 1211, 5016, 1863, 3660, 39896, 9566, 1211, 3615, 13412, 28820, 3224, 20666, 8592, 28820, 23758, 39896, 4117, 46811, 10943, 22807, 16070, 8592, 28820, 16712, 7649, 1829, 39896, 4117, 12399, 34683, 7435, 1829, 23275, 18863, 32887, 3660, 32748, 47283, 1211, 10632, 39627, 15730, 25124, 28820], "avg_logprob": -0.14807831076369887, "compression_ratio": 1.8072289156626506, "no_speech_prob": 0.0, "words": [{"start": 896.77, "end": 897.31, "word": "يبقى", "probability": 0.869140625}, {"start": 897.31, "end": 897.69, "word": " بعد", "probability": 0.80712890625}, {"start": 897.69, "end": 898.23, "word": " هيك،", "probability": 0.6500651041666666}, {"start": 898.23, "end": 898.61, "word": " أيش", "probability": 0.6307373046875}, {"start": 898.61, "end": 898.75, "word": " ما", "probability": 0.935546875}, {"start": 898.75, "end": 899.17, "word": " يكون", "probability": 0.968505859375}, {"start": 899.17, "end": 900.77, "word": " الأرقام،", "probability": 0.862451171875}, {"start": 900.77, "end": 901.43, "word": " اتنين،", "probability": 0.91162109375}, {"start": 901.43, "end": 902.41, "word": " تلاتة،", "probability": 0.97646484375}, {"start": 902.41, "end": 903.25, "word": " واحد،", "probability": 0.962890625}, {"start": 903.25, "end": 903.97, "word": " خمسة،", "probability": 0.95419921875}, {"start": 903.97, "end": 904.23, "word": " جد", "probability": 0.853759765625}, {"start": 904.23, "end": 904.35, "word": " ما", "probability": 0.95166015625}, {"start": 904.35, "end": 904.77, "word": " يكون", "probability": 0.976806640625}, {"start": 904.77, "end": 905.99, "word": " الملحنة", "probability": 0.7822265625}, {"start": 905.99, "end": 906.57, "word": " هيطلع", "probability": 0.9600830078125}, {"start": 906.57, "end": 907.07, "word": " شكله", "probability": 0.9547526041666666}, {"start": 907.07, "end": 907.61, "word": " بالشكل", "probability": 0.9690755208333334}, {"start": 907.61, "end": 907.99, "word": " هذا", "probability": 0.8232421875}, {"start": 907.99, "end": 908.85, "word": " هيك", "probability": 0.873291015625}, {"start": 908.85, "end": 910.39, "word": " تمام؟", "probability": 0.7462565104166666}, {"start": 910.39, "end": 911.03, "word": " والشكل", "probability": 0.853515625}, {"start": 911.03, "end": 911.65, "word": " التاني", "probability": 0.9803059895833334}, {"start": 911.65, "end": 912.55, "word": " هيك،", "probability": 0.8129069010416666}, {"start": 912.55, "end": 913.19, "word": " وتجيلك", "probability": 0.80938720703125}, {"start": 913.19, "end": 913.77, "word": " العروة", "probability": 0.7244466145833334}, {"start": 913.77, "end": 914.51, "word": " الداخلية", "probability": 0.992431640625}, {"start": 914.51, "end": 914.93, "word": " بهذا", "probability": 0.963134765625}, {"start": 914.93, "end": 915.43, "word": " الشكل", "probability": 0.98828125}], "temperature": 1.0}, {"id": 40, "seek": 93308, "start": 916.28, "end": 933.08, "text": "هذا الملحنة اللي هو R تساوي A زائد B في Cos الزاوية ثيتا طيب لو حصل ان الزايد هذه صارت ناقص بكل بساطة رسمة زي ما هي بيبتغلب وين؟", "tokens": [3224, 15730, 9673, 1211, 5016, 1863, 3660, 13672, 1829, 31439, 497, 6055, 3794, 995, 45865, 316, 30767, 16373, 3215, 363, 8978, 15855, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 23032, 1829, 3555, 45164, 11331, 36520, 16472, 6024, 110, 995, 25708, 29538, 20328, 9640, 2655, 8717, 995, 4587, 9381, 4724, 28820, 4724, 3794, 41193, 3660, 12602, 38251, 3660, 30767, 1829, 19446, 39896, 4724, 1829, 3555, 2655, 17082, 46152, 4032, 9957, 22807], "avg_logprob": -0.3233507043785519, "compression_ratio": 1.4509803921568627, "no_speech_prob": 0.0, "words": [{"start": 916.28, "end": 916.72, "word": "هذا", "probability": 0.643798828125}, {"start": 916.72, "end": 917.44, "word": " الملحنة", "probability": 0.72490234375}, {"start": 917.44, "end": 917.6, "word": " اللي", "probability": 0.427764892578125}, {"start": 917.6, "end": 917.9, "word": " هو", "probability": 0.9365234375}, {"start": 917.9, "end": 918.52, "word": " R", "probability": 0.20068359375}, {"start": 918.52, "end": 919.54, "word": " تساوي", "probability": 0.775390625}, {"start": 919.54, "end": 920.12, "word": " A", "probability": 0.6298828125}, {"start": 920.12, "end": 921.02, "word": " زائد", "probability": 0.7783203125}, {"start": 921.02, "end": 921.48, "word": " B", "probability": 0.927734375}, {"start": 921.48, "end": 922.14, "word": " في", "probability": 0.89404296875}, {"start": 922.14, "end": 922.62, "word": " Cos", "probability": 0.241943359375}, {"start": 922.62, "end": 923.44, "word": " الزاوية", "probability": 0.90234375}, {"start": 923.44, "end": 924.28, "word": " ثيتا", "probability": 0.6318359375}, {"start": 924.28, "end": 924.8, "word": " طيب", "probability": 0.7779947916666666}, {"start": 924.8, "end": 925.56, "word": " لو", "probability": 0.73291015625}, {"start": 925.56, "end": 926.02, "word": " حصل", "probability": 0.98486328125}, {"start": 926.02, "end": 926.24, "word": " ان", "probability": 0.42626953125}, {"start": 926.24, "end": 926.74, "word": " الزايد", "probability": 0.784912109375}, {"start": 926.74, "end": 927.06, "word": " هذه", "probability": 0.39794921875}, {"start": 927.06, "end": 927.66, "word": " صارت", "probability": 0.9562174479166666}, {"start": 927.66, "end": 928.96, "word": " ناقص", "probability": 0.9832763671875}, {"start": 928.96, "end": 930.38, "word": " بكل", "probability": 0.864990234375}, {"start": 930.38, "end": 930.92, "word": " بساطة", "probability": 0.9820556640625}, {"start": 930.92, "end": 931.48, "word": " رسمة", "probability": 0.65478515625}, {"start": 931.48, "end": 931.7, "word": " زي", "probability": 0.97998046875}, {"start": 931.7, "end": 931.78, "word": " ما", "probability": 0.91455078125}, {"start": 931.78, "end": 931.94, "word": " هي", "probability": 0.9384765625}, {"start": 931.94, "end": 932.58, "word": " بيبتغلب", "probability": 0.6292724609375}, {"start": 932.58, "end": 933.08, "word": " وين؟", "probability": 0.8201497395833334}], "temperature": 1.0}, {"id": 41, "seek": 95923, "start": 933.29, "end": 959.23, "text": "جهة المحور السالب لثيتا تساوي زيرو يعني جهة ثيتا تساوي باي يبقى بيصير المنحنة على الشكل التالي هذا ثيتا تساوي زيرو وهذا ثيتا تساوي باي على اتنين بيصير المنحنة عنده بالشكل هذا وهذا ال inner law بالشكل اللي عندنا هذا", "tokens": [7435, 3224, 3660, 9673, 5016, 13063, 21136, 6027, 3555, 5296, 12984, 36081, 995, 6055, 3794, 995, 45865, 30767, 13546, 2407, 37495, 22653, 10874, 3224, 3660, 38637, 36081, 995, 6055, 3794, 995, 45865, 4724, 47302, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 9673, 1863, 5016, 1863, 3660, 15844, 25124, 28820, 16712, 6027, 1829, 23758, 38637, 36081, 995, 6055, 3794, 995, 45865, 30767, 13546, 2407, 37037, 15730, 38637, 36081, 995, 6055, 3794, 995, 45865, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 4724, 1829, 9381, 13546, 9673, 1863, 5016, 1863, 3660, 43242, 3224, 20666, 8592, 28820, 23758, 37037, 15730, 2423, 7284, 2101, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.19294724989374842, "compression_ratio": 2.2951807228915664, "no_speech_prob": 0.0, "words": [{"start": 933.29, "end": 934.03, "word": "جهة", "probability": 0.6996663411458334}, {"start": 934.03, "end": 934.87, "word": " المحور", "probability": 0.95068359375}, {"start": 934.87, "end": 935.53, "word": " السالب", "probability": 0.9026692708333334}, {"start": 935.53, "end": 935.99, "word": " لثيتا", "probability": 0.652862548828125}, {"start": 935.99, "end": 936.49, "word": " تساوي", "probability": 0.910400390625}, {"start": 936.49, "end": 936.85, "word": " زيرو", "probability": 0.6148681640625}, {"start": 936.85, "end": 937.41, "word": " يعني", "probability": 0.6202392578125}, {"start": 937.41, "end": 937.75, "word": " جهة", "probability": 0.93701171875}, {"start": 937.75, "end": 938.15, "word": " ثيتا", "probability": 0.8297526041666666}, {"start": 938.15, "end": 938.95, "word": " تساوي", "probability": 0.980712890625}, {"start": 938.95, "end": 939.55, "word": " باي", "probability": 0.575927734375}, {"start": 939.55, "end": 940.37, "word": " يبقى", "probability": 0.923828125}, {"start": 940.37, "end": 940.95, "word": " بيصير", "probability": 0.71722412109375}, {"start": 940.95, "end": 941.85, "word": " المنحنة", "probability": 0.869921875}, {"start": 941.85, "end": 942.15, "word": " على", "probability": 0.822265625}, {"start": 942.15, "end": 942.89, "word": " الشكل", "probability": 0.9560546875}, {"start": 942.89, "end": 943.87, "word": " التالي", "probability": 0.9894205729166666}, {"start": 943.87, "end": 944.85, "word": " هذا", "probability": 0.697265625}, {"start": 944.85, "end": 945.49, "word": " ثيتا", "probability": 0.8855794270833334}, {"start": 945.49, "end": 946.07, "word": " تساوي", "probability": 0.9866943359375}, {"start": 946.07, "end": 946.65, "word": " زيرو", "probability": 0.939453125}, {"start": 946.65, "end": 947.37, "word": " وهذا", "probability": 0.91064453125}, {"start": 947.37, "end": 947.85, "word": " ثيتا", "probability": 0.8829752604166666}, {"start": 947.85, "end": 948.41, "word": " تساوي", "probability": 0.9798583984375}, {"start": 948.41, "end": 948.75, "word": " باي", "probability": 0.855712890625}, {"start": 948.75, "end": 949.05, "word": " على", "probability": 0.873046875}, {"start": 949.05, "end": 949.61, "word": " اتنين", "probability": 0.965087890625}, {"start": 949.61, "end": 950.65, "word": " بيصير", "probability": 0.8544921875}, {"start": 950.65, "end": 951.51, "word": " المنحنة", "probability": 0.98876953125}, {"start": 951.51, "end": 951.87, "word": " عنده", "probability": 0.51220703125}, {"start": 951.87, "end": 952.41, "word": " بالشكل", "probability": 0.93505859375}, {"start": 952.41, "end": 952.77, "word": " هذا", "probability": 0.96728515625}, {"start": 952.77, "end": 956.03, "word": " وهذا", "probability": 0.9130859375}, {"start": 956.03, "end": 957.03, "word": " ال", "probability": 0.82861328125}, {"start": 957.03, "end": 957.39, "word": " inner", "probability": 0.93505859375}, {"start": 957.39, "end": 957.87, "word": " law", "probability": 0.2763671875}, {"start": 957.87, "end": 958.45, "word": " بالشكل", "probability": 0.9661458333333334}, {"start": 958.45, "end": 958.61, "word": " اللي", "probability": 0.957763671875}, {"start": 958.61, "end": 958.97, "word": " عندنا", "probability": 0.8798828125}, {"start": 958.97, "end": 959.23, "word": " هذا", "probability": 0.6435546875}], "temperature": 1.0}, {"id": 42, "seek": 96953, "start": 961.47, "end": 969.53, "text": "يجب ان يكون المنحنة معادلة r يساوي a ناقص b في cosine الزاوية θ", "tokens": [1829, 7435, 3555, 16472, 7251, 30544, 9673, 1863, 5016, 1863, 3660, 20449, 18513, 37977, 367, 7251, 3794, 995, 45865, 257, 8717, 995, 4587, 9381, 272, 8978, 23565, 6024, 110, 995, 2407, 10632, 12622], "avg_logprob": -0.39797793767031503, "compression_ratio": 1.0947368421052632, "no_speech_prob": 0.0, "words": [{"start": 961.4699999999999, "end": 962.67, "word": "يجب", "probability": 0.64697265625}, {"start": 962.67, "end": 962.89, "word": " ان", "probability": 0.454833984375}, {"start": 962.89, "end": 962.89, "word": " يكون", "probability": 0.53656005859375}, {"start": 962.89, "end": 963.59, "word": " المنحنة", "probability": 0.738671875}, {"start": 963.59, "end": 964.45, "word": " معادلة", "probability": 0.86083984375}, {"start": 964.45, "end": 964.97, "word": " r", "probability": 0.252197265625}, {"start": 964.97, "end": 965.83, "word": " يساوي", "probability": 0.803955078125}, {"start": 965.83, "end": 966.31, "word": " a", "probability": 0.50732421875}, {"start": 966.31, "end": 967.27, "word": " ناقص", "probability": 0.870361328125}, {"start": 967.27, "end": 967.63, "word": " b", "probability": 0.60498046875}, {"start": 967.63, "end": 968.01, "word": " في", "probability": 0.8759765625}, {"start": 968.01, "end": 968.75, "word": " cosine", "probability": 0.302978515625}, {"start": 968.75, "end": 969.35, "word": " الزاوية", "probability": 0.79697265625}, {"start": 969.35, "end": 969.53, "word": " θ", "probability": 0.34423828125}], "temperature": 1.0}, {"id": 43, "seek": 99270, "start": 970.94, "end": 992.7, "text": "طب لو كان بدل ال cosine صارت sin مافيش اللي بده يحصل؟ يبقى لو كان عندي R يساوي ايه ماقص بيه في sin الزاوية ثيتا يبقى تقولها المنحنة بالشكل هذا I ثيتا تساوي zero و I ثيتا تساوي Pi على الإتنين", "tokens": [9566, 3555, 45164, 25961, 47525, 1211, 2423, 23565, 20328, 9640, 2655, 3343, 19446, 41185, 8592, 13672, 1829, 47525, 3224, 7251, 5016, 36520, 22807, 7251, 3555, 4587, 7578, 45164, 25961, 18871, 16254, 497, 7251, 3794, 995, 45865, 1975, 1829, 3224, 19446, 4587, 9381, 4724, 1829, 3224, 8978, 3343, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 7251, 3555, 4587, 7578, 6055, 39648, 11296, 9673, 1863, 5016, 1863, 3660, 20666, 8592, 28820, 23758, 286, 38637, 36081, 995, 6055, 3794, 995, 45865, 4018, 4032, 286, 38637, 36081, 995, 6055, 3794, 995, 45865, 17741, 15844, 33688, 2655, 1863, 9957], "avg_logprob": -0.30061847530305386, "compression_ratio": 1.6789473684210525, "no_speech_prob": 0.0, "words": [{"start": 970.94, "end": 971.22, "word": "طب", "probability": 0.50946044921875}, {"start": 971.22, "end": 971.52, "word": " لو", "probability": 0.9638671875}, {"start": 971.52, "end": 971.9, "word": " كان", "probability": 0.93798828125}, {"start": 971.9, "end": 972.36, "word": " بدل", "probability": 0.974609375}, {"start": 972.36, "end": 972.58, "word": " ال", "probability": 0.7470703125}, {"start": 972.58, "end": 973.02, "word": " cosine", "probability": 0.5595703125}, {"start": 973.02, "end": 973.72, "word": " صارت", "probability": 0.82470703125}, {"start": 973.72, "end": 974.36, "word": " sin", "probability": 0.34716796875}, {"start": 974.36, "end": 975.56, "word": " مافيش", "probability": 0.4646809895833333}, {"start": 975.56, "end": 975.7, "word": " اللي", "probability": 0.977783203125}, {"start": 975.7, "end": 976.04, "word": " بده", "probability": 0.689697265625}, {"start": 976.04, "end": 977.0, "word": " يحصل؟", "probability": 0.8311767578125}, {"start": 977.0, "end": 977.54, "word": " يبقى", "probability": 0.9324951171875}, {"start": 977.54, "end": 977.78, "word": " لو", "probability": 0.93603515625}, {"start": 977.78, "end": 978.16, "word": " كان", "probability": 0.986328125}, {"start": 978.16, "end": 978.74, "word": " عندي", "probability": 0.7340087890625}, {"start": 978.74, "end": 979.46, "word": " R", "probability": 0.630859375}, {"start": 979.46, "end": 980.46, "word": " يساوي", "probability": 0.89306640625}, {"start": 980.46, "end": 981.14, "word": " ايه", "probability": 0.4920247395833333}, {"start": 981.14, "end": 981.9, "word": " ماقص", "probability": 0.8136393229166666}, {"start": 981.9, "end": 982.36, "word": " بيه", "probability": 0.8194986979166666}, {"start": 982.36, "end": 982.52, "word": " في", "probability": 0.970703125}, {"start": 982.52, "end": 983.02, "word": " sin", "probability": 0.66162109375}, {"start": 983.02, "end": 983.66, "word": " الزاوية", "probability": 0.787353515625}, {"start": 983.66, "end": 984.32, "word": " ثيتا", "probability": 0.6255289713541666}, {"start": 984.32, "end": 985.2, "word": " يبقى", "probability": 0.85595703125}, {"start": 985.2, "end": 985.68, "word": " تقولها", "probability": 0.6372884114583334}, {"start": 985.68, "end": 986.38, "word": " المنحنة", "probability": 0.87509765625}, {"start": 986.38, "end": 986.9, "word": " بالشكل", "probability": 0.974609375}, {"start": 986.9, "end": 987.36, "word": " هذا", "probability": 0.93701171875}, {"start": 987.36, "end": 988.04, "word": " I", "probability": 0.8984375}, {"start": 988.04, "end": 988.5, "word": " ثيتا", "probability": 0.759765625}, {"start": 988.5, "end": 989.06, "word": " تساوي", "probability": 0.9329833984375}, {"start": 989.06, "end": 989.5, "word": " zero", "probability": 0.5712890625}, {"start": 989.5, "end": 990.08, "word": " و", "probability": 0.8359375}, {"start": 990.08, "end": 990.28, "word": " I", "probability": 0.6142578125}, {"start": 990.28, "end": 990.7, "word": " ثيتا", "probability": 0.90966796875}, {"start": 990.7, "end": 991.24, "word": " تساوي", "probability": 0.973876953125}, {"start": 991.24, "end": 991.72, "word": " Pi", "probability": 0.204833984375}, {"start": 991.72, "end": 992.06, "word": " على", "probability": 0.7431640625}, {"start": 992.06, "end": 992.7, "word": " الإتنين", "probability": 0.79266357421875}], "temperature": 1.0}, {"id": 44, "seek": 101522, "start": 993.24, "end": 1015.22, "text": "يبقى الرسمة بدا جد ما كان فيه تمثل بالنسبة لمحور X هيصير فيه تمثل بالنسبة لمحور Y2 الإشارة السالب يبقى الرسمة كلها تحت محور X أو غالبها يبقى بده يجي كك الرسمة وهذه من الناحية التانية وهذه ال inner lob الشكل اللي عندها", "tokens": [1829, 3555, 4587, 7578, 34892, 38251, 3660, 4724, 28259, 10874, 3215, 19446, 25961, 8978, 3224, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 39896, 9381, 13546, 8978, 3224, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 398, 17, 33688, 8592, 9640, 3660, 21136, 6027, 3555, 7251, 3555, 4587, 7578, 34892, 38251, 3660, 28242, 11296, 6055, 33753, 3714, 5016, 13063, 1783, 34051, 32771, 6027, 3555, 11296, 7251, 3555, 4587, 7578, 47525, 3224, 7251, 7435, 1829, 9122, 4117, 34892, 38251, 3660, 37037, 24192, 9154, 2423, 8315, 5016, 10632, 16712, 7649, 10632, 37037, 24192, 2423, 7284, 14366, 25124, 28820, 13672, 1829, 43242, 11296], "avg_logprob": -0.2302476370109702, "compression_ratio": 1.881188118811881, "no_speech_prob": 0.0, "words": [{"start": 993.24, "end": 993.72, "word": "يبقى", "probability": 0.806884765625}, {"start": 993.72, "end": 994.3, "word": " الرسمة", "probability": 0.8019205729166666}, {"start": 994.3, "end": 994.6, "word": " بدا", "probability": 0.42779541015625}, {"start": 994.6, "end": 994.82, "word": " جد", "probability": 0.405517578125}, {"start": 994.82, "end": 994.94, "word": " ما", "probability": 0.671875}, {"start": 994.94, "end": 995.28, "word": " كان", "probability": 0.97314453125}, {"start": 995.28, "end": 995.52, "word": " فيه", "probability": 0.906494140625}, {"start": 995.52, "end": 996.06, "word": " تمثل", "probability": 0.93798828125}, {"start": 996.06, "end": 996.54, "word": " بالنسبة", "probability": 0.99365234375}, {"start": 996.54, "end": 997.0, "word": " لمحور", "probability": 0.9070638020833334}, {"start": 997.0, "end": 997.24, "word": " X", "probability": 0.765625}, {"start": 997.24, "end": 997.62, "word": " هيصير", "probability": 0.5673828125}, {"start": 997.62, "end": 997.86, "word": " فيه", "probability": 0.94677734375}, {"start": 997.86, "end": 998.26, "word": " تمثل", "probability": 0.9837239583333334}, {"start": 998.26, "end": 999.08, "word": " بالنسبة", "probability": 0.993896484375}, {"start": 999.08, "end": 1000.16, "word": " لمحور", "probability": 0.9864908854166666}, {"start": 1000.16, "end": 1000.78, "word": " Y2", "probability": 0.76708984375}, {"start": 1000.78, "end": 1001.42, "word": " الإشارة", "probability": 0.9583740234375}, {"start": 1001.42, "end": 1001.86, "word": " السالب", "probability": 0.8019205729166666}, {"start": 1001.86, "end": 1002.56, "word": " يبقى", "probability": 0.871337890625}, {"start": 1002.56, "end": 1003.24, "word": " الرسمة", "probability": 0.986328125}, {"start": 1003.24, "end": 1003.72, "word": " كلها", "probability": 0.890380859375}, {"start": 1003.72, "end": 1004.1, "word": " تحت", "probability": 0.992431640625}, {"start": 1004.1, "end": 1004.8, "word": " محور", "probability": 0.9754231770833334}, {"start": 1004.8, "end": 1005.12, "word": " X", "probability": 0.98828125}, {"start": 1005.12, "end": 1005.38, "word": " أو", "probability": 0.826171875}, {"start": 1005.38, "end": 1006.06, "word": " غالبها", "probability": 0.61956787109375}, {"start": 1006.06, "end": 1006.92, "word": " يبقى", "probability": 0.9156494140625}, {"start": 1006.92, "end": 1007.44, "word": " بده", "probability": 0.4305419921875}, {"start": 1007.44, "end": 1007.78, "word": " يجي", "probability": 0.9197591145833334}, {"start": 1007.78, "end": 1008.54, "word": " كك", "probability": 0.4749755859375}, {"start": 1008.54, "end": 1009.68, "word": " الرسمة", "probability": 0.9759114583333334}, {"start": 1009.68, "end": 1010.3, "word": " وهذه", "probability": 0.791748046875}, {"start": 1010.3, "end": 1010.54, "word": " من", "probability": 0.9560546875}, {"start": 1010.54, "end": 1011.14, "word": " الناحية", "probability": 0.86956787109375}, {"start": 1011.14, "end": 1011.8, "word": " التانية", "probability": 0.9772135416666666}, {"start": 1011.8, "end": 1012.8, "word": " وهذه", "probability": 0.939208984375}, {"start": 1012.8, "end": 1013.02, "word": " ال", "probability": 0.5771484375}, {"start": 1013.02, "end": 1013.48, "word": " inner", "probability": 0.912109375}, {"start": 1013.48, "end": 1014.18, "word": " lob", "probability": 0.392822265625}, {"start": 1014.18, "end": 1014.72, "word": " الشكل", "probability": 0.694580078125}, {"start": 1014.72, "end": 1014.88, "word": " اللي", "probability": 0.917724609375}, {"start": 1014.88, "end": 1015.22, "word": " عندها", "probability": 0.56591796875}], "temperature": 1.0}, {"id": 45, "seek": 103898, "start": 1019.4, "end": 1038.98, "text": "طب لو بدل انشار السلب صار موجب يبقى المنحنى هذا هياخد الشكل التالي يبقى هذا θ تساوي zero وهذا θ تساوي πاي على اتنين يبقى يجيك المنحنى بالشكل هذا ومن هنا بالشكل هذا", "tokens": [9566, 3555, 45164, 47525, 1211, 16472, 8592, 9640, 21136, 46152, 20328, 9640, 3714, 29245, 3555, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 7578, 23758, 39896, 47283, 3215, 25124, 28820, 16712, 6027, 1829, 7251, 3555, 4587, 7578, 23758, 12622, 6055, 3794, 995, 45865, 4018, 37037, 15730, 12622, 6055, 3794, 995, 45865, 4654, 47302, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 7251, 7435, 1829, 4117, 9673, 1863, 5016, 1863, 7578, 20666, 8592, 28820, 23758, 4032, 27842, 34105, 20666, 8592, 28820, 23758], "avg_logprob": -0.22326806546693825, "compression_ratio": 1.8709677419354838, "no_speech_prob": 0.0, "words": [{"start": 1019.4, "end": 1020.52, "word": "طب", "probability": 0.4691162109375}, {"start": 1020.52, "end": 1020.76, "word": " لو", "probability": 0.87548828125}, {"start": 1020.76, "end": 1021.12, "word": " بدل", "probability": 0.798583984375}, {"start": 1021.12, "end": 1021.56, "word": " انشار", "probability": 0.8103841145833334}, {"start": 1021.56, "end": 1022.02, "word": " السلب", "probability": 0.70361328125}, {"start": 1022.02, "end": 1022.36, "word": " صار", "probability": 0.910400390625}, {"start": 1022.36, "end": 1023.3, "word": " موجب", "probability": 0.84228515625}, {"start": 1023.3, "end": 1024.34, "word": " يبقى", "probability": 0.8682861328125}, {"start": 1024.34, "end": 1025.1, "word": " المنحنى", "probability": 0.7708984375}, {"start": 1025.1, "end": 1025.44, "word": " هذا", "probability": 0.61767578125}, {"start": 1025.44, "end": 1026.1, "word": " هياخد", "probability": 0.75}, {"start": 1026.1, "end": 1026.66, "word": " الشكل", "probability": 0.9765625}, {"start": 1026.66, "end": 1027.38, "word": " التالي", "probability": 0.9039713541666666}, {"start": 1027.38, "end": 1028.22, "word": " يبقى", "probability": 0.9493408203125}, {"start": 1028.22, "end": 1028.48, "word": " هذا", "probability": 0.61474609375}, {"start": 1028.48, "end": 1028.78, "word": " θ", "probability": 0.54248046875}, {"start": 1028.78, "end": 1029.54, "word": " تساوي", "probability": 0.855712890625}, {"start": 1029.54, "end": 1029.98, "word": " zero", "probability": 0.337646484375}, {"start": 1029.98, "end": 1030.9, "word": " وهذا", "probability": 0.7044677734375}, {"start": 1030.9, "end": 1031.2, "word": " θ", "probability": 0.79296875}, {"start": 1031.2, "end": 1031.98, "word": " تساوي", "probability": 0.980712890625}, {"start": 1031.98, "end": 1032.54, "word": " πاي", "probability": 0.33807373046875}, {"start": 1032.54, "end": 1032.82, "word": " على", "probability": 0.77490234375}, {"start": 1032.82, "end": 1033.4, "word": " اتنين", "probability": 0.931884765625}, {"start": 1033.4, "end": 1034.22, "word": " يبقى", "probability": 0.9293212890625}, {"start": 1034.22, "end": 1034.8, "word": " يجيك", "probability": 0.68096923828125}, {"start": 1034.8, "end": 1035.56, "word": " المنحنى", "probability": 0.98193359375}, {"start": 1035.56, "end": 1036.12, "word": " بالشكل", "probability": 0.9220377604166666}, {"start": 1036.12, "end": 1036.54, "word": " هذا", "probability": 0.9404296875}, {"start": 1036.54, "end": 1037.44, "word": " ومن", "probability": 0.879638671875}, {"start": 1037.44, "end": 1037.84, "word": " هنا", "probability": 0.99072265625}, {"start": 1037.84, "end": 1038.52, "word": " بالشكل", "probability": 0.9786783854166666}, {"start": 1038.52, "end": 1038.98, "word": " هذا", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 46, "seek": 106915, "start": 1039.41, "end": 1069.15, "text": "وهذا ال inner lob بهذا الشكل يبقى هذا R يساوي A زائد B في صيني الزاوية تيتا إذا الإشارة بالموجة بيبقى الرسم غالبها على ال X axis إذا الإشارة بالسالب و مع ال sign يبقى الرسم غالبها أسفل ال X axis إذا الإشارة بالسالب لل cosine يبقى الجهة السالبة لل X axis إذا الإشارة بالموجة بيقبل جهة اليمنى", "tokens": [2407, 3224, 15730, 2423, 7284, 14366, 39627, 15730, 25124, 28820, 7251, 3555, 4587, 7578, 23758, 497, 7251, 3794, 995, 45865, 316, 30767, 16373, 3215, 363, 8978, 20328, 9957, 1829, 6024, 110, 995, 2407, 10632, 6055, 36081, 995, 11933, 15730, 33688, 8592, 9640, 3660, 20666, 2304, 29245, 3660, 4724, 1829, 3555, 4587, 7578, 34892, 38251, 32771, 6027, 3555, 11296, 15844, 2423, 1783, 10298, 11933, 15730, 33688, 8592, 9640, 3660, 20666, 3794, 6027, 3555, 4032, 20449, 2423, 1465, 7251, 3555, 4587, 7578, 34892, 38251, 32771, 6027, 3555, 11296, 5551, 3794, 5172, 1211, 2423, 1783, 10298, 11933, 15730, 33688, 8592, 9640, 3660, 20666, 3794, 6027, 3555, 24976, 23565, 7251, 3555, 4587, 7578, 25724, 3224, 3660, 21136, 6027, 49401, 24976, 1783, 10298, 11933, 15730, 33688, 8592, 9640, 3660, 20666, 2304, 29245, 3660, 4724, 1829, 4587, 36150, 10874, 3224, 3660, 45595, 27842, 7578], "avg_logprob": -0.17344873478944353, "compression_ratio": 2.3301435406698565, "no_speech_prob": 0.0, "words": [{"start": 1039.41, "end": 1040.07, "word": "وهذا", "probability": 0.5275472005208334}, {"start": 1040.07, "end": 1040.33, "word": " ال", "probability": 0.62890625}, {"start": 1040.33, "end": 1040.67, "word": " inner", "probability": 0.42431640625}, {"start": 1040.67, "end": 1041.19, "word": " lob", "probability": 0.5302734375}, {"start": 1041.19, "end": 1041.59, "word": " بهذا", "probability": 0.665771484375}, {"start": 1041.59, "end": 1042.11, "word": " الشكل", "probability": 0.98681640625}, {"start": 1042.11, "end": 1042.95, "word": " يبقى", "probability": 0.914794921875}, {"start": 1042.95, "end": 1043.39, "word": " هذا", "probability": 0.54931640625}, {"start": 1043.39, "end": 1043.83, "word": " R", "probability": 0.339111328125}, {"start": 1043.83, "end": 1044.57, "word": " يساوي", "probability": 0.69268798828125}, {"start": 1044.57, "end": 1045.13, "word": " A", "probability": 0.55615234375}, {"start": 1045.13, "end": 1045.93, "word": " زائد", "probability": 0.6943359375}, {"start": 1045.93, "end": 1046.37, "word": " B", "probability": 0.75244140625}, {"start": 1046.37, "end": 1046.67, "word": " في", "probability": 0.91015625}, {"start": 1046.67, "end": 1047.33, "word": " صيني", "probability": 0.7106119791666666}, {"start": 1047.33, "end": 1047.77, "word": " الزاوية", "probability": 0.87841796875}, {"start": 1047.77, "end": 1048.21, "word": " تيتا", "probability": 0.7203776041666666}, {"start": 1048.21, "end": 1048.89, "word": " إذا", "probability": 0.820556640625}, {"start": 1048.89, "end": 1049.47, "word": " الإشارة", "probability": 0.9793701171875}, {"start": 1049.47, "end": 1050.11, "word": " بالموجة", "probability": 0.9688720703125}, {"start": 1050.11, "end": 1050.41, "word": " بيبقى", "probability": 0.94423828125}, {"start": 1050.41, "end": 1050.87, "word": " الرسم", "probability": 0.897216796875}, {"start": 1050.87, "end": 1051.95, "word": " غالبها", "probability": 0.8951416015625}, {"start": 1051.95, "end": 1052.19, "word": " على", "probability": 0.88427734375}, {"start": 1052.19, "end": 1052.39, "word": " ال", "probability": 0.908203125}, {"start": 1052.39, "end": 1052.57, "word": " X", "probability": 0.64599609375}, {"start": 1052.57, "end": 1052.99, "word": " axis", "probability": 0.53076171875}, {"start": 1052.99, "end": 1053.81, "word": " إذا", "probability": 0.97412109375}, {"start": 1053.81, "end": 1054.65, "word": " الإشارة", "probability": 0.9921875}, {"start": 1054.65, "end": 1055.29, "word": " بالسالب", "probability": 0.8076171875}, {"start": 1055.29, "end": 1055.43, "word": " و", "probability": 0.84912109375}, {"start": 1055.43, "end": 1055.69, "word": " مع", "probability": 0.70263671875}, {"start": 1055.69, "end": 1055.93, "word": " ال", "probability": 0.5576171875}, {"start": 1055.93, "end": 1056.19, "word": " sign", "probability": 0.4287109375}, {"start": 1056.19, "end": 1056.51, "word": " يبقى", "probability": 0.9332275390625}, {"start": 1056.51, "end": 1056.83, "word": " الرسم", "probability": 0.987060546875}, {"start": 1056.83, "end": 1057.41, "word": " غالبها", "probability": 0.934814453125}, {"start": 1057.41, "end": 1057.79, "word": " أسفل", "probability": 0.963134765625}, {"start": 1057.79, "end": 1057.93, "word": " ال", "probability": 0.91650390625}, {"start": 1057.93, "end": 1058.19, "word": " X", "probability": 0.96923828125}, {"start": 1058.19, "end": 1058.69, "word": " axis", "probability": 0.9365234375}, {"start": 1058.69, "end": 1059.37, "word": " إذا", "probability": 0.9853515625}, {"start": 1059.37, "end": 1060.31, "word": " الإشارة", "probability": 0.9964599609375}, {"start": 1060.31, "end": 1061.07, "word": " بالسالب", "probability": 0.9066162109375}, {"start": 1061.07, "end": 1061.35, "word": " لل", "probability": 0.76123046875}, {"start": 1061.35, "end": 1062.15, "word": " cosine", "probability": 0.3994140625}, {"start": 1062.15, "end": 1063.09, "word": " يبقى", "probability": 0.9697265625}, {"start": 1063.09, "end": 1063.49, "word": " الجهة", "probability": 0.9654947916666666}, {"start": 1063.49, "end": 1064.21, "word": " السالبة", "probability": 0.9248046875}, {"start": 1064.21, "end": 1064.43, "word": " لل", "probability": 0.83837890625}, {"start": 1064.43, "end": 1064.71, "word": " X", "probability": 0.93896484375}, {"start": 1064.71, "end": 1065.23, "word": " axis", "probability": 0.93505859375}, {"start": 1065.23, "end": 1065.85, "word": " إذا", "probability": 0.97021484375}, {"start": 1065.85, "end": 1066.41, "word": " الإشارة", "probability": 0.9967041015625}, {"start": 1066.41, "end": 1067.01, "word": " بالموجة", "probability": 0.9781494140625}, {"start": 1067.01, "end": 1067.37, "word": " بيقبل", "probability": 0.876953125}, {"start": 1067.37, "end": 1067.97, "word": " جهة", "probability": 0.9557291666666666}, {"start": 1067.97, "end": 1069.15, "word": " اليمنى", "probability": 0.9197591145833334}], "temperature": 1.0}, {"id": 47, "seek": 108107, "start": 1069.35, "end": 1081.07, "text": "هذا لو كان ال A أقل من B طب لو حصل أن ال A يساوي ال B، شو بدي يكون الوضع؟ يبقى بالدهجي هنا لنمر أتنين", "tokens": [3224, 15730, 45164, 25961, 2423, 316, 5551, 4587, 1211, 9154, 363, 23032, 3555, 45164, 11331, 36520, 14739, 2423, 316, 7251, 3794, 995, 45865, 2423, 363, 12399, 13412, 2407, 4724, 16254, 7251, 30544, 2423, 2407, 11242, 3615, 22807, 7251, 3555, 4587, 7578, 20666, 3215, 3224, 7435, 1829, 34105, 5296, 1863, 29973, 5551, 2655, 1863, 9957], "avg_logprob": -0.2106534101746299, "compression_ratio": 1.4297520661157024, "no_speech_prob": 0.0, "words": [{"start": 1069.35, "end": 1069.87, "word": "هذا", "probability": 0.785400390625}, {"start": 1069.87, "end": 1070.07, "word": " لو", "probability": 0.92333984375}, {"start": 1070.07, "end": 1070.49, "word": " كان", "probability": 0.98779296875}, {"start": 1070.49, "end": 1070.75, "word": " ال", "probability": 0.83203125}, {"start": 1070.75, "end": 1071.15, "word": " A", "probability": 0.474609375}, {"start": 1071.15, "end": 1072.13, "word": " أقل", "probability": 0.9591471354166666}, {"start": 1072.13, "end": 1072.49, "word": " من", "probability": 0.97607421875}, {"start": 1072.49, "end": 1072.83, "word": " B", "probability": 0.90234375}, {"start": 1072.83, "end": 1073.63, "word": " طب", "probability": 0.65576171875}, {"start": 1073.63, "end": 1073.87, "word": " لو", "probability": 0.97509765625}, {"start": 1073.87, "end": 1074.35, "word": " حصل", "probability": 0.982177734375}, {"start": 1074.35, "end": 1074.63, "word": " أن", "probability": 0.481201171875}, {"start": 1074.63, "end": 1074.85, "word": " ال", "probability": 0.77294921875}, {"start": 1074.85, "end": 1075.17, "word": " A", "probability": 0.9853515625}, {"start": 1075.17, "end": 1075.87, "word": " يساوي", "probability": 0.74395751953125}, {"start": 1075.87, "end": 1076.01, "word": " ال", "probability": 0.89990234375}, {"start": 1076.01, "end": 1076.83, "word": " B،", "probability": 0.82470703125}, {"start": 1076.83, "end": 1077.17, "word": " شو", "probability": 0.8115234375}, {"start": 1077.17, "end": 1077.41, "word": " بدي", "probability": 0.658203125}, {"start": 1077.41, "end": 1077.69, "word": " يكون", "probability": 0.878662109375}, {"start": 1077.69, "end": 1078.67, "word": " الوضع؟", "probability": 0.974609375}, {"start": 1078.67, "end": 1079.07, "word": " يبقى", "probability": 0.934814453125}, {"start": 1079.07, "end": 1079.63, "word": " بالدهجي", "probability": 0.703515625}, {"start": 1079.63, "end": 1079.93, "word": " هنا", "probability": 0.98681640625}, {"start": 1079.93, "end": 1080.51, "word": " لنمر", "probability": 0.9070638020833334}, {"start": 1080.51, "end": 1081.07, "word": " أتنين", "probability": 0.7266845703125}], "temperature": 1.0}, {"id": 48, "seek": 109915, "start": 1082.39, "end": 1099.15, "text": "لو كان ال a يساوي ال b في المنحنة بدي يصير r تساوي a زائد b في cosine الزاوية ثانية لو رحت رسمت الرسمة بتطلع نفس الرسم هذا بالضبط بس بتطير ال inner law", "tokens": [1211, 2407, 25961, 2423, 257, 7251, 3794, 995, 45865, 2423, 272, 8978, 9673, 1863, 5016, 1863, 3660, 4724, 16254, 7251, 9381, 13546, 367, 6055, 3794, 995, 45865, 257, 30767, 16373, 3215, 272, 8978, 23565, 6024, 110, 995, 2407, 10632, 38637, 7649, 10632, 45164, 12602, 33753, 12602, 38251, 2655, 34892, 38251, 3660, 39894, 9566, 1211, 3615, 8717, 36178, 34892, 38251, 23758, 20666, 11242, 3555, 9566, 4724, 3794, 39894, 9566, 13546, 2423, 7284, 2101], "avg_logprob": -0.29023973582542106, "compression_ratio": 1.5923566878980893, "no_speech_prob": 0.0, "words": [{"start": 1082.39, "end": 1082.81, "word": "لو", "probability": 0.709228515625}, {"start": 1082.81, "end": 1083.11, "word": " كان", "probability": 0.85400390625}, {"start": 1083.11, "end": 1083.29, "word": " ال", "probability": 0.630859375}, {"start": 1083.29, "end": 1083.55, "word": " a", "probability": 0.267333984375}, {"start": 1083.55, "end": 1084.17, "word": " يساوي", "probability": 0.7860107421875}, {"start": 1084.17, "end": 1084.29, "word": " ال", "probability": 0.87841796875}, {"start": 1084.29, "end": 1084.49, "word": " b", "probability": 0.962890625}, {"start": 1084.49, "end": 1084.73, "word": " في", "probability": 0.456787109375}, {"start": 1084.73, "end": 1085.37, "word": " المنحنة", "probability": 0.791015625}, {"start": 1085.37, "end": 1085.69, "word": " بدي", "probability": 0.318603515625}, {"start": 1085.69, "end": 1086.17, "word": " يصير", "probability": 0.7604166666666666}, {"start": 1086.17, "end": 1086.75, "word": " r", "probability": 0.3544921875}, {"start": 1086.75, "end": 1087.55, "word": " تساوي", "probability": 0.82049560546875}, {"start": 1087.55, "end": 1088.09, "word": " a", "probability": 0.94482421875}, {"start": 1088.09, "end": 1089.31, "word": " زائد", "probability": 0.6974283854166666}, {"start": 1089.31, "end": 1089.69, "word": " b", "probability": 0.86767578125}, {"start": 1089.69, "end": 1090.03, "word": " في", "probability": 0.87548828125}, {"start": 1090.03, "end": 1090.71, "word": " cosine", "probability": 0.37109375}, {"start": 1090.71, "end": 1091.35, "word": " الزاوية", "probability": 0.89658203125}, {"start": 1091.35, "end": 1092.05, "word": " ثانية", "probability": 0.5595703125}, {"start": 1092.05, "end": 1092.71, "word": " لو", "probability": 0.460693359375}, {"start": 1092.71, "end": 1093.07, "word": " رحت", "probability": 0.727294921875}, {"start": 1093.07, "end": 1093.63, "word": " رسمت", "probability": 0.935546875}, {"start": 1093.63, "end": 1094.09, "word": " الرسمة", "probability": 0.9651692708333334}, {"start": 1094.09, "end": 1094.69, "word": " بتطلع", "probability": 0.8741455078125}, {"start": 1094.69, "end": 1095.05, "word": " نفس", "probability": 0.95556640625}, {"start": 1095.05, "end": 1095.59, "word": " الرسم", "probability": 0.977294921875}, {"start": 1095.59, "end": 1095.93, "word": " هذا", "probability": 0.3603515625}, {"start": 1095.93, "end": 1096.65, "word": " بالضبط", "probability": 0.957275390625}, {"start": 1096.65, "end": 1097.33, "word": " بس", "probability": 0.912109375}, {"start": 1097.33, "end": 1098.01, "word": " بتطير", "probability": 0.8199869791666666}, {"start": 1098.01, "end": 1098.19, "word": " ال", "probability": 0.70947265625}, {"start": 1098.19, "end": 1098.63, "word": " inner", "probability": 0.92529296875}, {"start": 1098.63, "end": 1099.15, "word": " law", "probability": 0.77880859375}], "temperature": 1.0}, {"id": 49, "seek": 112560, "start": 1099.77, "end": 1125.61, "text": "بصير منحنة الكاردويد منحنة القلب بدون inner load كيف؟ كالتالي يبقى هذا المنحنة بيصير بهذا الشكل I theta تساوي Zero و I theta تساوي Pi على اتنين و المنحنة بيجيلك هيك بس inner load ماعنديش", "tokens": [3555, 9381, 13546, 3714, 1863, 5016, 1863, 3660, 33251, 9640, 3215, 2407, 25708, 9154, 5016, 1863, 3660, 25062, 46152, 47525, 11536, 7284, 3677, 9122, 33911, 22807, 9122, 6027, 2655, 6027, 1829, 7251, 3555, 4587, 7578, 23758, 9673, 1863, 5016, 1863, 3660, 4724, 1829, 9381, 13546, 39627, 15730, 25124, 28820, 286, 9725, 6055, 3794, 995, 45865, 17182, 4032, 286, 9725, 6055, 3794, 995, 45865, 17741, 15844, 1975, 2655, 1863, 9957, 4032, 9673, 1863, 5016, 1863, 3660, 4724, 1829, 7435, 1829, 23275, 39896, 4117, 4724, 3794, 7284, 3677, 19446, 3615, 1863, 16254, 8592], "avg_logprob": -0.22622282365741936, "compression_ratio": 1.7062146892655368, "no_speech_prob": 0.0, "words": [{"start": 1099.77, "end": 1100.55, "word": "بصير", "probability": 0.6570638020833334}, {"start": 1100.55, "end": 1101.37, "word": " منحنة", "probability": 0.69970703125}, {"start": 1101.37, "end": 1104.01, "word": " الكاردويد", "probability": 0.780517578125}, {"start": 1104.01, "end": 1104.97, "word": " منحنة", "probability": 0.77984619140625}, {"start": 1104.97, "end": 1105.39, "word": " القلب", "probability": 0.975830078125}, {"start": 1105.39, "end": 1106.23, "word": " بدون", "probability": 0.9873046875}, {"start": 1106.23, "end": 1106.75, "word": " inner", "probability": 0.7412109375}, {"start": 1106.75, "end": 1107.23, "word": " load", "probability": 0.9111328125}, {"start": 1107.23, "end": 1108.21, "word": " كيف؟", "probability": 0.7605794270833334}, {"start": 1108.21, "end": 1108.83, "word": " كالتالي", "probability": 0.9322265625}, {"start": 1108.83, "end": 1109.67, "word": " يبقى", "probability": 0.8720703125}, {"start": 1109.67, "end": 1109.95, "word": " هذا", "probability": 0.65087890625}, {"start": 1109.95, "end": 1110.67, "word": " المنحنة", "probability": 0.9736328125}, {"start": 1110.67, "end": 1111.55, "word": " بيصير", "probability": 0.857421875}, {"start": 1111.55, "end": 1111.93, "word": " بهذا", "probability": 0.91259765625}, {"start": 1111.93, "end": 1112.39, "word": " الشكل", "probability": 0.991943359375}, {"start": 1112.39, "end": 1113.09, "word": " I", "probability": 0.7607421875}, {"start": 1113.09, "end": 1113.45, "word": " theta", "probability": 0.326416015625}, {"start": 1113.45, "end": 1114.13, "word": " تساوي", "probability": 0.7880859375}, {"start": 1114.13, "end": 1114.57, "word": " Zero", "probability": 0.283935546875}, {"start": 1114.57, "end": 1115.19, "word": " و", "probability": 0.55712890625}, {"start": 1115.19, "end": 1115.49, "word": " I", "probability": 0.70703125}, {"start": 1115.49, "end": 1115.89, "word": " theta", "probability": 0.7880859375}, {"start": 1115.89, "end": 1116.61, "word": " تساوي", "probability": 0.962890625}, {"start": 1116.61, "end": 1117.03, "word": " Pi", "probability": 0.473876953125}, {"start": 1117.03, "end": 1117.41, "word": " على", "probability": 0.59716796875}, {"start": 1117.41, "end": 1118.01, "word": " اتنين", "probability": 0.891845703125}, {"start": 1118.01, "end": 1118.51, "word": " و", "probability": 0.56787109375}, {"start": 1118.51, "end": 1119.25, "word": " المنحنة", "probability": 0.9640625}, {"start": 1119.25, "end": 1120.25, "word": " بيجيلك", "probability": 0.8537109375}, {"start": 1120.25, "end": 1122.45, "word": " هيك", "probability": 0.6339111328125}, {"start": 1122.45, "end": 1124.21, "word": " بس", "probability": 0.863525390625}, {"start": 1124.21, "end": 1124.61, "word": " inner", "probability": 0.7880859375}, {"start": 1124.61, "end": 1124.97, "word": " load", "probability": 0.9814453125}, {"start": 1124.97, "end": 1125.61, "word": " ماعنديش", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 50, "seek": 114267, "start": 1126.69, "end": 1142.67, "text": "تمام؟ طب لو كان الملحنة R يساوي A ناقص B فيه ناقص A فيه cosine فش بيه ال A تساوي ال B يا شباب كله A ماعنديش B A تساوي ال B", "tokens": [2655, 15042, 2304, 22807, 23032, 3555, 45164, 25961, 9673, 1211, 5016, 1863, 3660, 497, 7251, 3794, 995, 45865, 316, 8717, 995, 4587, 9381, 363, 8978, 3224, 8717, 995, 4587, 9381, 316, 8978, 3224, 23565, 6156, 8592, 4724, 1829, 3224, 2423, 316, 6055, 3794, 995, 45865, 2423, 363, 35186, 13412, 3555, 16758, 28242, 3224, 316, 19446, 3615, 1863, 16254, 8592, 363, 316, 6055, 3794, 995, 45865, 2423, 363], "avg_logprob": -0.25505513610208735, "compression_ratio": 1.4485294117647058, "no_speech_prob": 0.0, "words": [{"start": 1126.69, "end": 1127.51, "word": "تمام؟", "probability": 0.50726318359375}, {"start": 1127.51, "end": 1127.83, "word": " طب", "probability": 0.7529296875}, {"start": 1127.83, "end": 1128.07, "word": " لو", "probability": 0.978515625}, {"start": 1128.07, "end": 1128.39, "word": " كان", "probability": 0.9814453125}, {"start": 1128.39, "end": 1129.41, "word": " الملحنة", "probability": 0.8685546875}, {"start": 1129.41, "end": 1129.89, "word": " R", "probability": 0.388427734375}, {"start": 1129.89, "end": 1130.75, "word": " يساوي", "probability": 0.878662109375}, {"start": 1130.75, "end": 1131.21, "word": " A", "probability": 0.71923828125}, {"start": 1131.21, "end": 1132.17, "word": " ناقص", "probability": 0.940673828125}, {"start": 1132.17, "end": 1132.51, "word": " B", "probability": 0.771484375}, {"start": 1132.51, "end": 1133.25, "word": " فيه", "probability": 0.36279296875}, {"start": 1133.25, "end": 1134.01, "word": " ناقص", "probability": 0.97119140625}, {"start": 1134.01, "end": 1134.41, "word": " A", "probability": 0.89892578125}, {"start": 1134.41, "end": 1134.89, "word": " فيه", "probability": 0.882080078125}, {"start": 1134.89, "end": 1135.27, "word": " cosine", "probability": 0.60888671875}, {"start": 1135.27, "end": 1136.33, "word": " فش", "probability": 0.3333740234375}, {"start": 1136.33, "end": 1136.75, "word": " بيه", "probability": 0.6463216145833334}, {"start": 1136.75, "end": 1136.81, "word": " ال", "probability": 0.71435546875}, {"start": 1136.81, "end": 1137.07, "word": " A", "probability": 0.80126953125}, {"start": 1137.07, "end": 1137.63, "word": " تساوي", "probability": 0.957763671875}, {"start": 1137.63, "end": 1137.71, "word": " ال", "probability": 0.89794921875}, {"start": 1137.71, "end": 1137.85, "word": " B", "probability": 0.9189453125}, {"start": 1137.85, "end": 1137.95, "word": " يا", "probability": 0.97802734375}, {"start": 1137.95, "end": 1138.35, "word": " شباب", "probability": 0.98828125}, {"start": 1138.35, "end": 1139.59, "word": " كله", "probability": 0.802001953125}, {"start": 1139.59, "end": 1139.87, "word": " A", "probability": 0.9580078125}, {"start": 1139.87, "end": 1140.45, "word": " ماعنديش", "probability": 0.9462890625}, {"start": 1140.45, "end": 1140.81, "word": " B", "probability": 0.810546875}, {"start": 1140.81, "end": 1141.61, "word": " A", "probability": 0.529296875}, {"start": 1141.61, "end": 1142.39, "word": " تساوي", "probability": 0.98291015625}, {"start": 1142.39, "end": 1142.49, "word": " ال", "probability": 0.88916015625}, {"start": 1142.49, "end": 1142.67, "word": " B", "probability": 0.9921875}], "temperature": 1.0}, {"id": 51, "seek": 116123, "start": 1143.33, "end": 1161.23, "text": "طبعا يبقى a ناقص ال a في cos الزاوية θ يبقى المنحنة بيصير بالشكل هذا θ تساوي zero و هنا θ تساوي pi على اتنين و المنحنة بيصير بالشكل اللي عندك هنا", "tokens": [9566, 3555, 3615, 995, 7251, 3555, 4587, 7578, 257, 8717, 995, 4587, 9381, 2423, 257, 8978, 3792, 6024, 110, 995, 2407, 10632, 12622, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 3660, 4724, 1829, 9381, 13546, 20666, 8592, 28820, 23758, 12622, 6055, 3794, 995, 45865, 4018, 4032, 34105, 12622, 6055, 3794, 995, 45865, 3895, 15844, 1975, 2655, 1863, 9957, 4032, 9673, 1863, 5016, 1863, 3660, 4724, 1829, 9381, 13546, 20666, 8592, 28820, 13672, 1829, 43242, 4117, 34105], "avg_logprob": -0.25801280981455094, "compression_ratio": 1.6986301369863013, "no_speech_prob": 0.0, "words": [{"start": 1143.33, "end": 1143.99, "word": "طبعا", "probability": 0.73956298828125}, {"start": 1143.99, "end": 1145.13, "word": " يبقى", "probability": 0.906005859375}, {"start": 1145.13, "end": 1145.51, "word": " a", "probability": 0.5791015625}, {"start": 1145.51, "end": 1146.53, "word": " ناقص", "probability": 0.8546142578125}, {"start": 1146.53, "end": 1146.79, "word": " ال", "probability": 0.78466796875}, {"start": 1146.79, "end": 1147.21, "word": " a", "probability": 0.75634765625}, {"start": 1147.21, "end": 1147.43, "word": " في", "probability": 0.92822265625}, {"start": 1147.43, "end": 1147.93, "word": " cos", "probability": 0.287353515625}, {"start": 1147.93, "end": 1148.75, "word": " الزاوية", "probability": 0.797607421875}, {"start": 1148.75, "end": 1148.95, "word": " θ", "probability": 0.364990234375}, {"start": 1148.95, "end": 1150.07, "word": " يبقى", "probability": 0.9061279296875}, {"start": 1150.07, "end": 1150.67, "word": " المنحنة", "probability": 0.9015625}, {"start": 1150.67, "end": 1151.17, "word": " بيصير", "probability": 0.62872314453125}, {"start": 1151.17, "end": 1151.67, "word": " بالشكل", "probability": 0.9453125}, {"start": 1151.67, "end": 1152.01, "word": " هذا", "probability": 0.8310546875}, {"start": 1152.01, "end": 1152.73, "word": " θ", "probability": 0.39208984375}, {"start": 1152.73, "end": 1153.41, "word": " تساوي", "probability": 0.8050537109375}, {"start": 1153.41, "end": 1153.83, "word": " zero", "probability": 0.470458984375}, {"start": 1153.83, "end": 1154.39, "word": " و", "probability": 0.46533203125}, {"start": 1154.39, "end": 1154.63, "word": " هنا", "probability": 0.8876953125}, {"start": 1154.63, "end": 1154.99, "word": " θ", "probability": 0.52880859375}, {"start": 1154.99, "end": 1155.71, "word": " تساوي", "probability": 0.9771728515625}, {"start": 1155.71, "end": 1156.11, "word": " pi", "probability": 0.271240234375}, {"start": 1156.11, "end": 1156.43, "word": " على", "probability": 0.5322265625}, {"start": 1156.43, "end": 1156.97, "word": " اتنين", "probability": 0.8560791015625}, {"start": 1156.97, "end": 1157.51, "word": " و", "probability": 0.63037109375}, {"start": 1157.51, "end": 1158.53, "word": " المنحنة", "probability": 0.97021484375}, {"start": 1158.53, "end": 1159.65, "word": " بيصير", "probability": 0.93017578125}, {"start": 1159.65, "end": 1160.29, "word": " بالشكل", "probability": 0.9816080729166666}, {"start": 1160.29, "end": 1160.45, "word": " اللي", "probability": 0.88525390625}, {"start": 1160.45, "end": 1160.91, "word": " عندك", "probability": 0.96875}, {"start": 1160.91, "end": 1161.23, "word": " هنا", "probability": 0.55908203125}], "temperature": 1.0}, {"id": 52, "seek": 118914, "start": 1163.16, "end": 1189.14, "text": "طيب لو كان بدلالة ال sign يعني ال a او ال r تساوي a ناقص a في ال sign الزاوية theta يبقى المنحنى بالشكل اللي عندنا هذا theta تساوي zero وهنا theta تساوي pi على اتنين والمنحنى بيصير بالشكل اللي عندنا", "tokens": [9566, 1829, 3555, 45164, 25961, 47525, 1211, 6027, 3660, 2423, 1465, 37495, 22653, 2423, 257, 1975, 2407, 2423, 367, 6055, 3794, 995, 45865, 257, 8717, 995, 4587, 9381, 257, 8978, 2423, 1465, 6024, 110, 995, 2407, 10632, 9725, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 7578, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 9725, 6055, 3794, 995, 45865, 4018, 37037, 8315, 9725, 6055, 3794, 995, 45865, 3895, 15844, 1975, 2655, 1863, 9957, 16070, 27842, 5016, 1863, 7578, 4724, 1829, 9381, 13546, 20666, 8592, 28820, 13672, 1829, 43242, 8315], "avg_logprob": -0.26184753074750794, "compression_ratio": 1.8888888888888888, "no_speech_prob": 0.0, "words": [{"start": 1163.16, "end": 1164.04, "word": "طيب", "probability": 0.7211100260416666}, {"start": 1164.04, "end": 1164.74, "word": " لو", "probability": 0.69775390625}, {"start": 1164.74, "end": 1165.06, "word": " كان", "probability": 0.98681640625}, {"start": 1165.06, "end": 1165.74, "word": " بدلالة", "probability": 0.924072265625}, {"start": 1165.74, "end": 1165.96, "word": " ال", "probability": 0.841796875}, {"start": 1165.96, "end": 1166.4, "word": " sign", "probability": 0.381103515625}, {"start": 1166.4, "end": 1167.66, "word": " يعني", "probability": 0.735107421875}, {"start": 1167.66, "end": 1168.22, "word": " ال", "probability": 0.66162109375}, {"start": 1168.22, "end": 1168.84, "word": " a", "probability": 0.468017578125}, {"start": 1168.84, "end": 1169.84, "word": " او", "probability": 0.55718994140625}, {"start": 1169.84, "end": 1170.42, "word": " ال", "probability": 0.9521484375}, {"start": 1170.42, "end": 1171.0, "word": " r", "probability": 0.56201171875}, {"start": 1171.0, "end": 1172.14, "word": " تساوي", "probability": 0.8885498046875}, {"start": 1172.14, "end": 1174.0, "word": " a", "probability": 0.611328125}, {"start": 1174.0, "end": 1175.3, "word": " ناقص", "probability": 0.8193359375}, {"start": 1175.3, "end": 1175.76, "word": " a", "probability": 0.91748046875}, {"start": 1175.76, "end": 1175.98, "word": " في", "probability": 0.92578125}, {"start": 1175.98, "end": 1176.18, "word": " ال", "probability": 0.5771484375}, {"start": 1176.18, "end": 1176.5, "word": " sign", "probability": 0.861328125}, {"start": 1176.5, "end": 1177.16, "word": " الزاوية", "probability": 0.82802734375}, {"start": 1177.16, "end": 1177.64, "word": " theta", "probability": 0.2049560546875}, {"start": 1177.64, "end": 1178.54, "word": " يبقى", "probability": 0.9395751953125}, {"start": 1178.54, "end": 1179.24, "word": " المنحنى", "probability": 0.8802734375}, {"start": 1179.24, "end": 1179.82, "word": " بالشكل", "probability": 0.943359375}, {"start": 1179.82, "end": 1179.98, "word": " اللي", "probability": 0.846435546875}, {"start": 1179.98, "end": 1180.24, "word": " عندنا", "probability": 0.6171875}, {"start": 1180.24, "end": 1180.54, "word": " هذا", "probability": 0.28955078125}, {"start": 1180.54, "end": 1181.2, "word": " theta", "probability": 0.419189453125}, {"start": 1181.2, "end": 1181.86, "word": " تساوي", "probability": 0.9730224609375}, {"start": 1181.86, "end": 1182.3, "word": " zero", "probability": 0.79443359375}, {"start": 1182.3, "end": 1183.22, "word": " وهنا", "probability": 0.841796875}, {"start": 1183.22, "end": 1183.62, "word": " theta", "probability": 0.525390625}, {"start": 1183.62, "end": 1184.3, "word": " تساوي", "probability": 0.982177734375}, {"start": 1184.3, "end": 1184.64, "word": " pi", "probability": 0.29443359375}, {"start": 1184.64, "end": 1184.96, "word": " على", "probability": 0.61376953125}, {"start": 1184.96, "end": 1185.56, "word": " اتنين", "probability": 0.9205322265625}, {"start": 1185.56, "end": 1187.06, "word": " والمنحنى", "probability": 0.88466796875}, {"start": 1187.06, "end": 1188.1, "word": " بيصير", "probability": 0.7664794921875}, {"start": 1188.1, "end": 1188.76, "word": " بالشكل", "probability": 0.9775390625}, {"start": 1188.76, "end": 1188.9, "word": " اللي", "probability": 0.976806640625}, {"start": 1188.9, "end": 1189.14, "word": " عندنا", "probability": 0.879150390625}], "temperature": 1.0}, {"id": 53, "seek": 120848, "start": 1190.26, "end": 1208.48, "text": "طب لو كان R تساوي A زائد A في صيني الزاوية ثيتا يبقى المنحنى بالشكل اللي عندي هذا ثيتا تساوي Zero وهذا ثيتا تساوي Pi على اتنين وهذا المنحنى بيأخد الشكل اللي عندي", "tokens": [9566, 3555, 45164, 25961, 497, 6055, 3794, 995, 45865, 316, 30767, 16373, 3215, 316, 8978, 20328, 9957, 1829, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 7578, 20666, 8592, 28820, 13672, 1829, 18871, 16254, 23758, 38637, 36081, 995, 6055, 3794, 995, 45865, 17182, 37037, 15730, 38637, 36081, 995, 6055, 3794, 995, 45865, 17741, 15844, 1975, 2655, 1863, 9957, 37037, 15730, 9673, 1863, 5016, 1863, 7578, 4724, 1829, 10721, 9778, 3215, 25124, 28820, 13672, 1829, 18871, 16254], "avg_logprob": -0.2395220581222983, "compression_ratio": 1.8366013071895424, "no_speech_prob": 0.0, "words": [{"start": 1190.26, "end": 1190.6, "word": "طب", "probability": 0.5684814453125}, {"start": 1190.6, "end": 1190.88, "word": " لو", "probability": 0.96875}, {"start": 1190.88, "end": 1191.48, "word": " كان", "probability": 0.92626953125}, {"start": 1191.48, "end": 1192.14, "word": " R", "probability": 0.41943359375}, {"start": 1192.14, "end": 1193.1, "word": " تساوي", "probability": 0.80828857421875}, {"start": 1193.1, "end": 1193.64, "word": " A", "probability": 0.69677734375}, {"start": 1193.64, "end": 1194.54, "word": " زائد", "probability": 0.8732096354166666}, {"start": 1194.54, "end": 1195.02, "word": " A", "probability": 0.82666015625}, {"start": 1195.02, "end": 1195.36, "word": " في", "probability": 0.85693359375}, {"start": 1195.36, "end": 1196.14, "word": " صيني", "probability": 0.57861328125}, {"start": 1196.14, "end": 1196.58, "word": " الزاوية", "probability": 0.9083984375}, {"start": 1196.58, "end": 1197.08, "word": " ثيتا", "probability": 0.6497802734375}, {"start": 1197.08, "end": 1198.02, "word": " يبقى", "probability": 0.874755859375}, {"start": 1198.02, "end": 1199.0, "word": " المنحنى", "probability": 0.8638671875}, {"start": 1199.0, "end": 1199.94, "word": " بالشكل", "probability": 0.9415690104166666}, {"start": 1199.94, "end": 1200.2, "word": " اللي", "probability": 0.83935546875}, {"start": 1200.2, "end": 1200.3, "word": " عندي", "probability": 0.512054443359375}, {"start": 1200.3, "end": 1200.56, "word": " هذا", "probability": 0.39013671875}, {"start": 1200.56, "end": 1201.04, "word": " ثيتا", "probability": 0.7677408854166666}, {"start": 1201.04, "end": 1201.62, "word": " تساوي", "probability": 0.9788818359375}, {"start": 1201.62, "end": 1202.06, "word": " Zero", "probability": 0.4541015625}, {"start": 1202.06, "end": 1203.04, "word": " وهذا", "probability": 0.859130859375}, {"start": 1203.04, "end": 1203.52, "word": " ثيتا", "probability": 0.8919270833333334}, {"start": 1203.52, "end": 1204.1, "word": " تساوي", "probability": 0.9801025390625}, {"start": 1204.1, "end": 1204.42, "word": " Pi", "probability": 0.6494140625}, {"start": 1204.42, "end": 1204.74, "word": " على", "probability": 0.623046875}, {"start": 1204.74, "end": 1205.36, "word": " اتنين", "probability": 0.9088134765625}, {"start": 1205.36, "end": 1206.36, "word": " وهذا", "probability": 0.8974609375}, {"start": 1206.36, "end": 1207.14, "word": " المنحنى", "probability": 0.9822265625}, {"start": 1207.14, "end": 1207.7, "word": " بيأخد", "probability": 0.76181640625}, {"start": 1207.7, "end": 1208.14, "word": " الشكل", "probability": 0.9658203125}, {"start": 1208.14, "end": 1208.28, "word": " اللي", "probability": 0.9912109375}, {"start": 1208.28, "end": 1208.48, "word": " عندي", "probability": 0.84716796875}], "temperature": 1.0}, {"id": 54, "seek": 123957, "start": 1210.39, "end": 1239.57, "text": "طبعا يبقى حتى الآن خلصنا حالتين و الحالتين اللي أنها تبقى ايش؟ كل واحدة فيهم باربع رسومات يبقى عندنا صار ثمانية منحنيات و بقيت ثمانية أخرى ايش اللي ان الحالة التالتة؟", "tokens": [9566, 3555, 3615, 995, 7251, 3555, 4587, 7578, 11331, 49975, 6024, 48506, 16490, 1211, 9381, 8315, 11331, 6027, 2655, 9957, 4032, 21542, 6027, 2655, 9957, 13672, 1829, 14739, 11296, 6055, 3555, 4587, 7578, 1975, 1829, 8592, 22807, 28242, 36764, 24401, 3660, 8978, 16095, 4724, 9640, 3555, 3615, 12602, 3794, 20498, 9307, 7251, 3555, 4587, 7578, 43242, 8315, 20328, 9640, 38637, 2304, 7649, 10632, 9154, 5016, 22653, 9307, 4032, 4724, 4587, 36081, 38637, 2304, 7649, 10632, 5551, 34740, 7578, 1975, 1829, 8592, 13672, 1829, 16472, 21542, 6027, 3660, 16712, 6027, 2655, 3660, 22807], "avg_logprob": -0.21757392537209294, "compression_ratio": 1.852760736196319, "no_speech_prob": 0.0, "words": [{"start": 1210.39, "end": 1211.03, "word": "طبعا", "probability": 0.79254150390625}, {"start": 1211.03, "end": 1212.03, "word": " يبقى", "probability": 0.78790283203125}, {"start": 1212.03, "end": 1212.39, "word": " حتى", "probability": 0.96875}, {"start": 1212.39, "end": 1212.69, "word": " الآن", "probability": 0.7274169921875}, {"start": 1212.69, "end": 1213.49, "word": " خلصنا", "probability": 0.9736328125}, {"start": 1213.49, "end": 1214.29, "word": " حالتين", "probability": 0.94677734375}, {"start": 1214.29, "end": 1215.05, "word": " و", "probability": 0.497802734375}, {"start": 1215.05, "end": 1215.89, "word": " الحالتين", "probability": 0.918701171875}, {"start": 1215.89, "end": 1216.15, "word": " اللي", "probability": 0.861572265625}, {"start": 1216.15, "end": 1216.63, "word": " أنها", "probability": 0.44061279296875}, {"start": 1216.63, "end": 1217.07, "word": " تبقى", "probability": 0.66754150390625}, {"start": 1217.07, "end": 1217.65, "word": " ايش؟", "probability": 0.57470703125}, {"start": 1217.65, "end": 1217.97, "word": " كل", "probability": 0.93408203125}, {"start": 1217.97, "end": 1218.51, "word": " واحدة", "probability": 0.978515625}, {"start": 1218.51, "end": 1219.01, "word": " فيهم", "probability": 0.9736328125}, {"start": 1219.01, "end": 1220.15, "word": " باربع", "probability": 0.9652099609375}, {"start": 1220.15, "end": 1221.09, "word": " رسومات", "probability": 0.92236328125}, {"start": 1221.09, "end": 1221.93, "word": " يبقى", "probability": 0.9571533203125}, {"start": 1221.93, "end": 1222.35, "word": " عندنا", "probability": 0.61541748046875}, {"start": 1222.35, "end": 1222.73, "word": " صار", "probability": 0.946533203125}, {"start": 1222.73, "end": 1224.05, "word": " ثمانية", "probability": 0.9583740234375}, {"start": 1224.05, "end": 1225.41, "word": " منحنيات", "probability": 0.8199462890625}, {"start": 1225.41, "end": 1226.07, "word": " و", "probability": 0.84716796875}, {"start": 1226.07, "end": 1226.71, "word": " بقيت", "probability": 0.7257486979166666}, {"start": 1226.71, "end": 1227.71, "word": " ثمانية", "probability": 0.9927978515625}, {"start": 1227.71, "end": 1230.85, "word": " أخرى", "probability": 0.9031575520833334}, {"start": 1230.85, "end": 1237.79, "word": " ايش", "probability": 0.787841796875}, {"start": 1237.79, "end": 1237.99, "word": " اللي", "probability": 0.803955078125}, {"start": 1237.99, "end": 1238.17, "word": " ان", "probability": 0.43359375}, {"start": 1238.17, "end": 1238.69, "word": " الحالة", "probability": 0.8206380208333334}, {"start": 1238.69, "end": 1239.57, "word": " التالتة؟", "probability": 0.9552734375}], "temperature": 1.0}, {"id": 55, "seek": 127035, "start": 1243.1, "end": 1270.36, "text": "الـ A أقل من B الـ A تساوي الـ B هم من بعدها بتاخد A أكبر من B يبقى F الـ A greater than B and أو بين قسيان الـ A على B greater than 1", "tokens": [6027, 39184, 316, 5551, 4587, 1211, 9154, 363, 2423, 39184, 316, 6055, 3794, 995, 45865, 2423, 39184, 363, 8032, 2304, 9154, 39182, 11296, 39894, 47283, 3215, 316, 5551, 4117, 26890, 9154, 363, 7251, 3555, 4587, 7578, 479, 2423, 39184, 316, 5044, 813, 363, 293, 34051, 49374, 12174, 3794, 1829, 7649, 2423, 39184, 316, 15844, 363, 5044, 813, 502], "avg_logprob": -0.2894597467729601, "compression_ratio": 1.4411764705882353, "no_speech_prob": 0.0, "words": [{"start": 1243.1, "end": 1244.24, "word": "الـ", "probability": 0.373443603515625}, {"start": 1244.24, "end": 1244.44, "word": " A", "probability": 0.6240234375}, {"start": 1244.44, "end": 1245.16, "word": " أقل", "probability": 0.9088541666666666}, {"start": 1245.16, "end": 1245.44, "word": " من", "probability": 0.96533203125}, {"start": 1245.44, "end": 1245.8, "word": " B", "probability": 0.85693359375}, {"start": 1245.8, "end": 1247.02, "word": " الـ", "probability": 0.6053466796875}, {"start": 1247.02, "end": 1247.28, "word": " A", "probability": 0.8955078125}, {"start": 1247.28, "end": 1248.34, "word": " تساوي", "probability": 0.94775390625}, {"start": 1248.34, "end": 1248.66, "word": " الـ", "probability": 0.83349609375}, {"start": 1248.66, "end": 1249.08, "word": " B", "probability": 0.74609375}, {"start": 1249.08, "end": 1250.86, "word": " هم", "probability": 0.43994140625}, {"start": 1250.86, "end": 1251.02, "word": " من", "probability": 0.476318359375}, {"start": 1251.02, "end": 1251.58, "word": " بعدها", "probability": 0.586669921875}, {"start": 1251.58, "end": 1252.02, "word": " بتاخد", "probability": 0.7989095052083334}, {"start": 1252.02, "end": 1252.48, "word": " A", "probability": 0.93017578125}, {"start": 1252.48, "end": 1253.46, "word": " أكبر", "probability": 0.96875}, {"start": 1253.46, "end": 1253.84, "word": " من", "probability": 0.99365234375}, {"start": 1253.84, "end": 1254.18, "word": " B", "probability": 0.97412109375}, {"start": 1254.18, "end": 1255.56, "word": " يبقى", "probability": 0.971435546875}, {"start": 1255.56, "end": 1256.08, "word": " F", "probability": 0.80078125}, {"start": 1256.08, "end": 1258.34, "word": " الـ", "probability": 0.83837890625}, {"start": 1258.34, "end": 1258.6, "word": " A", "probability": 0.8984375}, {"start": 1258.6, "end": 1259.26, "word": " greater", "probability": 0.76611328125}, {"start": 1259.26, "end": 1259.98, "word": " than", "probability": 0.96337890625}, {"start": 1259.98, "end": 1260.36, "word": " B", "probability": 0.98486328125}, {"start": 1260.36, "end": 1261.46, "word": " and", "probability": 0.75732421875}, {"start": 1261.46, "end": 1263.74, "word": " أو", "probability": 0.533203125}, {"start": 1263.74, "end": 1264.7, "word": " بين", "probability": 0.398193359375}, {"start": 1264.7, "end": 1265.56, "word": " قسيان", "probability": 0.53753662109375}, {"start": 1265.56, "end": 1267.48, "word": " الـ", "probability": 0.9296875}, {"start": 1267.48, "end": 1267.72, "word": " A", "probability": 0.91845703125}, {"start": 1267.72, "end": 1268.36, "word": " على", "probability": 0.77880859375}, {"start": 1268.36, "end": 1268.86, "word": " B", "probability": 0.900390625}, {"start": 1268.86, "end": 1269.44, "word": " greater", "probability": 0.92724609375}, {"start": 1269.44, "end": 1270.04, "word": " than", "probability": 0.96435546875}, {"start": 1270.04, "end": 1270.36, "word": " 1", "probability": 0.5126953125}], "temperature": 1.0}, {"id": 56, "seek": 127996, "start": 1271.68, "end": 1279.96, "text": "بديش يخليها زي هك، يبقى بدي أخد ال A على B أكبر من واحد و أجل من إيمين", "tokens": [3555, 16254, 8592, 7251, 9778, 20292, 11296, 30767, 1829, 8032, 4117, 12399, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 9778, 3215, 2423, 316, 15844, 363, 5551, 4117, 26890, 9154, 36764, 24401, 4032, 5551, 7435, 1211, 9154, 11933, 32640, 9957], "avg_logprob": -0.3382812425494194, "compression_ratio": 1.2474226804123711, "no_speech_prob": 0.0, "words": [{"start": 1271.68, "end": 1272.14, "word": "بديش", "probability": 0.6521809895833334}, {"start": 1272.14, "end": 1272.68, "word": " يخليها", "probability": 0.7921142578125}, {"start": 1272.68, "end": 1272.96, "word": " زي", "probability": 0.985107421875}, {"start": 1272.96, "end": 1274.04, "word": " هك،", "probability": 0.486328125}, {"start": 1274.04, "end": 1274.38, "word": " يبقى", "probability": 0.71337890625}, {"start": 1274.38, "end": 1274.7, "word": " بدي", "probability": 0.80322265625}, {"start": 1274.7, "end": 1275.52, "word": " أخد", "probability": 0.76953125}, {"start": 1275.52, "end": 1275.86, "word": " ال", "probability": 0.82958984375}, {"start": 1275.86, "end": 1276.3, "word": " A", "probability": 0.45556640625}, {"start": 1276.3, "end": 1276.8, "word": " على", "probability": 0.791015625}, {"start": 1276.8, "end": 1277.26, "word": " B", "probability": 0.8984375}, {"start": 1277.26, "end": 1278.08, "word": " أكبر", "probability": 0.9285481770833334}, {"start": 1278.08, "end": 1278.26, "word": " من", "probability": 0.9912109375}, {"start": 1278.26, "end": 1278.64, "word": " واحد", "probability": 0.976806640625}, {"start": 1278.64, "end": 1278.78, "word": " و", "probability": 0.467041015625}, {"start": 1278.78, "end": 1279.16, "word": " أجل", "probability": 0.80078125}, {"start": 1279.16, "end": 1279.38, "word": " من", "probability": 0.986328125}, {"start": 1279.38, "end": 1279.96, "word": " إيمين", "probability": 0.6424153645833334}], "temperature": 1.0}, {"id": 57, "seek": 130615, "start": 1280.41, "end": 1306.15, "text": "من الاتنين كيف يكون شكل الرسم يبقى بداخله ياخد الحالة الأولى R يساوي A زائد B في Cos الزاوية ثيتا يبقى المنحنى بهذا الشكل ثيتا تساوي Zero ثيتا تساوي Pi على اتنين لاحظ الحالة الأولى", "tokens": [27842, 2423, 9307, 1863, 9957, 9122, 33911, 7251, 30544, 13412, 28820, 34892, 38251, 7251, 3555, 4587, 7578, 47525, 47283, 43761, 7251, 47283, 3215, 21542, 6027, 3660, 16247, 12610, 7578, 497, 7251, 3794, 995, 45865, 316, 30767, 16373, 3215, 363, 8978, 15855, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 7578, 39627, 15730, 25124, 28820, 38637, 36081, 995, 6055, 3794, 995, 45865, 17182, 38637, 36081, 995, 6055, 3794, 995, 45865, 17741, 15844, 1975, 2655, 1863, 9957, 20193, 5016, 19913, 21542, 6027, 3660, 16247, 12610, 7578], "avg_logprob": -0.26999328982445503, "compression_ratio": 1.7942857142857143, "no_speech_prob": 0.0, "words": [{"start": 1280.41, "end": 1280.83, "word": "من", "probability": 0.06622314453125}, {"start": 1280.83, "end": 1281.69, "word": " الاتنين", "probability": 0.78631591796875}, {"start": 1281.69, "end": 1282.69, "word": " كيف", "probability": 0.839111328125}, {"start": 1282.69, "end": 1283.35, "word": " يكون", "probability": 0.630615234375}, {"start": 1283.35, "end": 1283.95, "word": " شكل", "probability": 0.912353515625}, {"start": 1283.95, "end": 1284.55, "word": " الرسم", "probability": 0.97412109375}, {"start": 1284.55, "end": 1285.49, "word": " يبقى", "probability": 0.87255859375}, {"start": 1285.49, "end": 1285.99, "word": " بداخله", "probability": 0.447998046875}, {"start": 1285.99, "end": 1286.49, "word": " ياخد", "probability": 0.8033854166666666}, {"start": 1286.49, "end": 1287.07, "word": " الحالة", "probability": 0.92138671875}, {"start": 1287.07, "end": 1287.65, "word": " الأولى", "probability": 0.9376627604166666}, {"start": 1287.65, "end": 1288.09, "word": " R", "probability": 0.390625}, {"start": 1288.09, "end": 1289.35, "word": " يساوي", "probability": 0.6856689453125}, {"start": 1289.35, "end": 1289.95, "word": " A", "probability": 0.57763671875}, {"start": 1289.95, "end": 1290.83, "word": " زائد", "probability": 0.6686197916666666}, {"start": 1290.83, "end": 1291.25, "word": " B", "probability": 0.89453125}, {"start": 1291.25, "end": 1291.97, "word": " في", "probability": 0.82958984375}, {"start": 1291.97, "end": 1292.61, "word": " Cos", "probability": 0.1854248046875}, {"start": 1292.61, "end": 1293.63, "word": " الزاوية", "probability": 0.85166015625}, {"start": 1293.63, "end": 1294.23, "word": " ثيتا", "probability": 0.7698567708333334}, {"start": 1294.23, "end": 1295.21, "word": " يبقى", "probability": 0.9681396484375}, {"start": 1295.21, "end": 1295.95, "word": " المنحنى", "probability": 0.88779296875}, {"start": 1295.95, "end": 1296.41, "word": " بهذا", "probability": 0.912841796875}, {"start": 1296.41, "end": 1296.99, "word": " الشكل", "probability": 0.984375}, {"start": 1296.99, "end": 1298.05, "word": " ثيتا", "probability": 0.767333984375}, {"start": 1298.05, "end": 1298.65, "word": " تساوي", "probability": 0.963134765625}, {"start": 1298.65, "end": 1299.11, "word": " Zero", "probability": 0.728515625}, {"start": 1299.11, "end": 1300.21, "word": " ثيتا", "probability": 0.7418619791666666}, {"start": 1300.21, "end": 1300.87, "word": " تساوي", "probability": 0.9407958984375}, {"start": 1300.87, "end": 1301.57, "word": " Pi", "probability": 0.292724609375}, {"start": 1301.57, "end": 1301.97, "word": " على", "probability": 0.69384765625}, {"start": 1301.97, "end": 1302.53, "word": " اتنين", "probability": 0.9261474609375}, {"start": 1302.53, "end": 1303.87, "word": " لاحظ", "probability": 0.759765625}, {"start": 1303.87, "end": 1305.55, "word": " الحالة", "probability": 0.9777018229166666}, {"start": 1305.55, "end": 1306.15, "word": " الأولى", "probability": 0.9728190104166666}], "temperature": 1.0}, {"id": 58, "seek": 133307, "start": 1306.93, "end": 1333.07, "text": "لما تقلنا للثانية طارت ال inner law وصار المنحلة بيبدأ من نقطة الأصل وبيرجع لنقطة الأصل المرة هذه مش هيرجع لنقطة الأصل، لا يبدأ منها ولا يرجع لها، بيصير هذا للخارج كيف كانت تالي يعني بيصير المنحلة كان في الأصل زي هيك، مظبوط؟", "tokens": [1211, 15042, 6055, 4587, 1211, 8315, 24976, 12984, 7649, 10632, 23032, 9640, 2655, 2423, 7284, 2101, 4032, 9381, 9640, 9673, 1863, 5016, 37977, 4724, 1829, 44510, 10721, 9154, 8717, 47432, 3660, 16247, 36520, 4032, 21292, 47341, 3615, 5296, 1863, 47432, 3660, 16247, 36520, 9673, 25720, 29538, 37893, 39896, 47341, 3615, 5296, 1863, 47432, 3660, 16247, 36520, 12399, 20193, 7251, 44510, 10721, 9154, 11296, 49429, 7251, 47341, 3615, 5296, 11296, 12399, 4724, 1829, 9381, 13546, 23758, 24976, 9778, 9640, 7435, 9122, 33911, 25961, 2655, 6055, 6027, 1829, 37495, 22653, 4724, 1829, 9381, 13546, 9673, 1863, 5016, 37977, 25961, 8978, 16247, 36520, 30767, 1829, 39896, 4117, 12399, 3714, 19913, 3555, 2407, 9566, 22807], "avg_logprob": -0.19377790258399077, "compression_ratio": 1.9605911330049262, "no_speech_prob": 0.0, "words": [{"start": 1306.93, "end": 1307.39, "word": "لما", "probability": 0.57733154296875}, {"start": 1307.39, "end": 1307.99, "word": " تقلنا", "probability": 0.67425537109375}, {"start": 1307.99, "end": 1308.63, "word": " للثانية", "probability": 0.934814453125}, {"start": 1308.63, "end": 1309.25, "word": " طارت", "probability": 0.8942057291666666}, {"start": 1309.25, "end": 1309.43, "word": " ال", "probability": 0.654296875}, {"start": 1309.43, "end": 1309.75, "word": " inner", "probability": 0.8232421875}, {"start": 1309.75, "end": 1310.33, "word": " law", "probability": 0.274658203125}, {"start": 1310.33, "end": 1311.45, "word": " وصار", "probability": 0.7900390625}, {"start": 1311.45, "end": 1312.07, "word": " المنحلة", "probability": 0.810791015625}, {"start": 1312.07, "end": 1312.57, "word": " بيبدأ", "probability": 0.947021484375}, {"start": 1312.57, "end": 1312.71, "word": " من", "probability": 0.98974609375}, {"start": 1312.71, "end": 1313.17, "word": " نقطة", "probability": 0.98876953125}, {"start": 1313.17, "end": 1313.59, "word": " الأصل", "probability": 0.87353515625}, {"start": 1313.59, "end": 1314.45, "word": " وبيرجع", "probability": 0.823974609375}, {"start": 1314.45, "end": 1315.09, "word": " لنقطة", "probability": 0.969970703125}, {"start": 1315.09, "end": 1315.59, "word": " الأصل", "probability": 0.95556640625}, {"start": 1315.59, "end": 1316.65, "word": " المرة", "probability": 0.70751953125}, {"start": 1316.65, "end": 1317.09, "word": " هذه", "probability": 0.91064453125}, {"start": 1317.09, "end": 1317.91, "word": " مش", "probability": 0.90185546875}, {"start": 1317.91, "end": 1318.53, "word": " هيرجع", "probability": 0.9142252604166666}, {"start": 1318.53, "end": 1319.15, "word": " لنقطة", "probability": 0.9615478515625}, {"start": 1319.15, "end": 1319.67, "word": " الأصل،", "probability": 0.792724609375}, {"start": 1319.67, "end": 1319.77, "word": " لا", "probability": 0.8115234375}, {"start": 1319.77, "end": 1320.25, "word": " يبدأ", "probability": 0.9856770833333334}, {"start": 1320.25, "end": 1320.69, "word": " منها", "probability": 0.99560546875}, {"start": 1320.69, "end": 1321.43, "word": " ولا", "probability": 0.9296875}, {"start": 1321.43, "end": 1322.07, "word": " يرجع", "probability": 0.95751953125}, {"start": 1322.07, "end": 1322.73, "word": " لها،", "probability": 0.7581380208333334}, {"start": 1322.73, "end": 1323.27, "word": " بيصير", "probability": 0.82330322265625}, {"start": 1323.27, "end": 1323.75, "word": " هذا", "probability": 0.681640625}, {"start": 1323.75, "end": 1324.95, "word": " للخارج", "probability": 0.958251953125}, {"start": 1324.95, "end": 1325.43, "word": " كيف", "probability": 0.719970703125}, {"start": 1325.43, "end": 1325.81, "word": " كانت", "probability": 0.630859375}, {"start": 1325.81, "end": 1326.29, "word": " تالي", "probability": 0.7638346354166666}, {"start": 1326.29, "end": 1327.25, "word": " يعني", "probability": 0.692626953125}, {"start": 1327.25, "end": 1327.87, "word": " بيصير", "probability": 0.84136962890625}, {"start": 1327.87, "end": 1328.89, "word": " المنحلة", "probability": 0.98681640625}, {"start": 1328.89, "end": 1329.19, "word": " كان", "probability": 0.89501953125}, {"start": 1329.19, "end": 1329.35, "word": " في", "probability": 0.771484375}, {"start": 1329.35, "end": 1329.85, "word": " الأصل", "probability": 0.9482421875}, {"start": 1329.85, "end": 1330.23, "word": " زي", "probability": 0.941650390625}, {"start": 1330.23, "end": 1332.15, "word": " هيك،", "probability": 0.68603515625}, {"start": 1332.15, "end": 1333.07, "word": " مظبوط؟", "probability": 0.9329427083333334}], "temperature": 1.0}, {"id": 59, "seek": 134940, "start": 1333.26, "end": 1349.4, "text": "يبقى بيجي كلمة من الحالة بيكمل هك و بيجي هك بس بوصلش نقطة الأصل تمام؟ لو جتلى الحالة التانية R تساوي ايه؟ ناقص P في cosine الزاوية ثتا", "tokens": [1829, 3555, 4587, 7578, 4724, 1829, 7435, 1829, 9122, 19528, 3660, 9154, 21542, 6027, 3660, 4724, 1829, 24793, 1211, 8032, 4117, 4032, 4724, 1829, 7435, 1829, 8032, 4117, 4724, 3794, 4724, 2407, 36520, 8592, 8717, 47432, 3660, 16247, 36520, 46811, 10943, 22807, 45164, 10874, 2655, 23942, 21542, 6027, 3660, 16712, 7649, 10632, 497, 6055, 3794, 995, 45865, 1975, 1829, 3224, 22807, 8717, 995, 4587, 9381, 430, 8978, 23565, 6024, 110, 995, 2407, 10632, 38637, 2655, 995], "avg_logprob": -0.2936282591386275, "compression_ratio": 1.5129870129870129, "no_speech_prob": 0.0, "words": [{"start": 1333.26, "end": 1333.7, "word": "يبقى", "probability": 0.711944580078125}, {"start": 1333.7, "end": 1333.9, "word": " بيجي", "probability": 0.78192138671875}, {"start": 1333.9, "end": 1334.2, "word": " كلمة", "probability": 0.86962890625}, {"start": 1334.2, "end": 1334.28, "word": " من", "probability": 0.335693359375}, {"start": 1334.28, "end": 1334.56, "word": " الحالة", "probability": 0.8154296875}, {"start": 1334.56, "end": 1335.42, "word": " بيكمل", "probability": 0.7939453125}, {"start": 1335.42, "end": 1336.12, "word": " هك", "probability": 0.6968994140625}, {"start": 1336.12, "end": 1336.3, "word": " و", "probability": 0.5859375}, {"start": 1336.3, "end": 1336.74, "word": " بيجي", "probability": 0.87109375}, {"start": 1336.74, "end": 1337.08, "word": " هك", "probability": 0.921142578125}, {"start": 1337.08, "end": 1337.36, "word": " بس", "probability": 0.83837890625}, {"start": 1337.36, "end": 1338.28, "word": " بوصلش", "probability": 0.80743408203125}, {"start": 1338.28, "end": 1339.56, "word": " نقطة", "probability": 0.9519856770833334}, {"start": 1339.56, "end": 1340.14, "word": " الأصل", "probability": 0.836669921875}, {"start": 1340.14, "end": 1342.12, "word": " تمام؟", "probability": 0.6055094401041666}, {"start": 1342.12, "end": 1342.42, "word": " لو", "probability": 0.947265625}, {"start": 1342.42, "end": 1342.84, "word": " جتلى", "probability": 0.6304524739583334}, {"start": 1342.84, "end": 1343.42, "word": " الحالة", "probability": 0.97705078125}, {"start": 1343.42, "end": 1344.06, "word": " التانية", "probability": 0.9840494791666666}, {"start": 1344.06, "end": 1344.62, "word": " R", "probability": 0.65673828125}, {"start": 1344.62, "end": 1345.46, "word": " تساوي", "probability": 0.77642822265625}, {"start": 1345.46, "end": 1346.12, "word": " ايه؟", "probability": 0.712890625}, {"start": 1346.12, "end": 1346.84, "word": " ناقص", "probability": 0.9554443359375}, {"start": 1346.84, "end": 1347.16, "word": " P", "probability": 0.6337890625}, {"start": 1347.16, "end": 1347.42, "word": " في", "probability": 0.92578125}, {"start": 1347.42, "end": 1348.12, "word": " cosine", "probability": 0.4384765625}, {"start": 1348.12, "end": 1348.88, "word": " الزاوية", "probability": 0.90849609375}, {"start": 1348.88, "end": 1349.4, "word": " ثتا", "probability": 0.52685546875}], "temperature": 1.0}, {"id": 60, "seek": 136970, "start": 1352.04, "end": 1369.7, "text": "يبقى هذا theta تساوي zero وهذا theta تساوي pi على اتنين خلّي أبقى لك هنا كويس يبقى الملحنة بيصير علويا على الناحية التانية بهذا الشكل و بيجيك الملحنة يكملك و يجي بالشكل هذا", "tokens": [1829, 3555, 4587, 7578, 23758, 9725, 6055, 3794, 995, 45865, 4018, 37037, 15730, 9725, 6055, 3794, 995, 45865, 3895, 15844, 1975, 2655, 1863, 9957, 16490, 1211, 11703, 1829, 5551, 3555, 4587, 7578, 5296, 4117, 34105, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 9673, 1211, 5016, 1863, 3660, 4724, 1829, 9381, 13546, 11203, 2407, 25528, 15844, 2423, 8315, 5016, 10632, 16712, 7649, 10632, 39627, 15730, 25124, 28820, 4032, 4724, 1829, 7435, 1829, 4117, 9673, 1211, 5016, 1863, 3660, 7251, 24793, 1211, 4117, 4032, 7251, 7435, 1829, 20666, 8592, 28820, 23758], "avg_logprob": -0.24201388276285596, "compression_ratio": 1.783132530120482, "no_speech_prob": 0.0, "words": [{"start": 1352.04, "end": 1352.64, "word": "يبقى", "probability": 0.8389892578125}, {"start": 1352.64, "end": 1352.88, "word": " هذا", "probability": 0.62939453125}, {"start": 1352.88, "end": 1353.24, "word": " theta", "probability": 0.266845703125}, {"start": 1353.24, "end": 1353.92, "word": " تساوي", "probability": 0.8505859375}, {"start": 1353.92, "end": 1354.34, "word": " zero", "probability": 0.54931640625}, {"start": 1354.34, "end": 1355.32, "word": " وهذا", "probability": 0.7261962890625}, {"start": 1355.32, "end": 1355.7, "word": " theta", "probability": 0.65576171875}, {"start": 1355.7, "end": 1356.44, "word": " تساوي", "probability": 0.9852294921875}, {"start": 1356.44, "end": 1356.76, "word": " pi", "probability": 0.156005859375}, {"start": 1356.76, "end": 1357.02, "word": " على", "probability": 0.435546875}, {"start": 1357.02, "end": 1357.62, "word": " اتنين", "probability": 0.903564453125}, {"start": 1357.62, "end": 1358.26, "word": " خلّي", "probability": 0.6046142578125}, {"start": 1358.26, "end": 1358.44, "word": " أبقى", "probability": 0.6346435546875}, {"start": 1358.44, "end": 1358.7, "word": " لك", "probability": 0.825439453125}, {"start": 1358.7, "end": 1358.84, "word": " هنا", "probability": 0.537109375}, {"start": 1358.84, "end": 1359.28, "word": " كويس", "probability": 0.9825846354166666}, {"start": 1359.28, "end": 1360.2, "word": " يبقى", "probability": 0.9129638671875}, {"start": 1360.2, "end": 1360.74, "word": " الملحنة", "probability": 0.8685546875}, {"start": 1360.74, "end": 1361.24, "word": " بيصير", "probability": 0.75885009765625}, {"start": 1361.24, "end": 1361.9, "word": " علويا", "probability": 0.5836588541666666}, {"start": 1361.9, "end": 1362.64, "word": " على", "probability": 0.8544921875}, {"start": 1362.64, "end": 1363.36, "word": " الناحية", "probability": 0.9208984375}, {"start": 1363.36, "end": 1364.08, "word": " التانية", "probability": 0.9908854166666666}, {"start": 1364.08, "end": 1364.74, "word": " بهذا", "probability": 0.959716796875}, {"start": 1364.74, "end": 1365.28, "word": " الشكل", "probability": 0.990478515625}, {"start": 1365.28, "end": 1365.98, "word": " و", "probability": 0.71142578125}, {"start": 1365.98, "end": 1366.62, "word": " بيجيك", "probability": 0.811376953125}, {"start": 1366.62, "end": 1367.34, "word": " الملحنة", "probability": 0.990234375}, {"start": 1367.34, "end": 1368.58, "word": " يكملك", "probability": 0.7945556640625}, {"start": 1368.58, "end": 1368.72, "word": " و", "probability": 0.9140625}, {"start": 1368.72, "end": 1368.98, "word": " يجي", "probability": 0.86083984375}, {"start": 1368.98, "end": 1369.44, "word": " بالشكل", "probability": 0.9484049479166666}, {"start": 1369.44, "end": 1369.7, "word": " هذا", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 61, "seek": 139146, "start": 1370.06, "end": 1391.46, "text": "يعني في دنت، دنت نتوء أو انبعاد للداخل نتوء للداخل او انبعاد للداخل طب الحالة التالتة، لو كان ال R يساوي A ناقص B في ال sign الزاوية فيه، يبقى المنحلة هفضل يصير بالشكل هذا", "tokens": [40228, 22653, 8978, 11778, 29399, 12399, 11778, 29399, 8717, 2655, 2407, 38207, 34051, 16472, 3555, 3615, 18513, 24976, 3215, 47283, 1211, 8717, 2655, 2407, 38207, 24976, 3215, 47283, 1211, 1975, 2407, 16472, 3555, 3615, 18513, 24976, 3215, 47283, 1211, 23032, 3555, 21542, 6027, 3660, 16712, 6027, 2655, 3660, 12399, 45164, 25961, 2423, 497, 7251, 3794, 995, 45865, 316, 8717, 995, 4587, 9381, 363, 8978, 2423, 1465, 6024, 110, 995, 2407, 10632, 8978, 3224, 12399, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 37977, 8032, 5172, 11242, 1211, 7251, 9381, 13546, 20666, 8592, 28820, 23758], "avg_logprob": -0.2365358998166754, "compression_ratio": 1.72, "no_speech_prob": 0.0, "words": [{"start": 1370.06, "end": 1370.72, "word": "يعني", "probability": 0.7841796875}, {"start": 1370.72, "end": 1371.2, "word": " في", "probability": 0.74755859375}, {"start": 1371.2, "end": 1372.2, "word": " دنت،", "probability": 0.3467203776041667}, {"start": 1372.2, "end": 1372.72, "word": " دنت", "probability": 0.8212890625}, {"start": 1372.72, "end": 1373.72, "word": " نتوء", "probability": 0.7532958984375}, {"start": 1373.72, "end": 1373.98, "word": " أو", "probability": 0.8193359375}, {"start": 1373.98, "end": 1374.74, "word": " انبعاد", "probability": 0.9100341796875}, {"start": 1374.74, "end": 1375.9, "word": " للداخل", "probability": 0.9664306640625}, {"start": 1375.9, "end": 1377.62, "word": " نتوء", "probability": 0.7843017578125}, {"start": 1377.62, "end": 1378.4, "word": " للداخل", "probability": 0.982177734375}, {"start": 1378.4, "end": 1378.62, "word": " او", "probability": 0.741943359375}, {"start": 1378.62, "end": 1379.16, "word": " انبعاد", "probability": 0.9901123046875}, {"start": 1379.16, "end": 1380.14, "word": " للداخل", "probability": 0.9898681640625}, {"start": 1380.14, "end": 1380.76, "word": " طب", "probability": 0.658203125}, {"start": 1380.76, "end": 1381.52, "word": " الحالة", "probability": 0.9490559895833334}, {"start": 1381.52, "end": 1382.28, "word": " التالتة،", "probability": 0.880859375}, {"start": 1382.28, "end": 1382.52, "word": " لو", "probability": 0.96044921875}, {"start": 1382.52, "end": 1382.9, "word": " كان", "probability": 0.99267578125}, {"start": 1382.9, "end": 1383.2, "word": " ال", "probability": 0.92578125}, {"start": 1383.2, "end": 1383.6, "word": " R", "probability": 0.198974609375}, {"start": 1383.6, "end": 1384.5, "word": " يساوي", "probability": 0.8931884765625}, {"start": 1384.5, "end": 1385.04, "word": " A", "probability": 0.69482421875}, {"start": 1385.04, "end": 1386.2, "word": " ناقص", "probability": 0.870849609375}, {"start": 1386.2, "end": 1386.5, "word": " B", "probability": 0.619140625}, {"start": 1386.5, "end": 1386.86, "word": " في", "probability": 0.9794921875}, {"start": 1386.86, "end": 1387.06, "word": " ال", "probability": 0.423583984375}, {"start": 1387.06, "end": 1387.48, "word": " sign", "probability": 0.533203125}, {"start": 1387.48, "end": 1388.2, "word": " الزاوية", "probability": 0.936328125}, {"start": 1388.2, "end": 1388.68, "word": " فيه،", "probability": 0.5816243489583334}, {"start": 1388.68, "end": 1389.52, "word": " يبقى", "probability": 0.919921875}, {"start": 1389.52, "end": 1390.1, "word": " المنحلة", "probability": 0.79840087890625}, {"start": 1390.1, "end": 1390.42, "word": " هفضل", "probability": 0.7064208984375}, {"start": 1390.42, "end": 1390.66, "word": " يصير", "probability": 0.759765625}, {"start": 1390.66, "end": 1391.14, "word": " بالشكل", "probability": 0.9765625}, {"start": 1391.14, "end": 1391.46, "word": " هذا", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 62, "seek": 141652, "start": 1391.68, "end": 1416.52, "text": "تيتا تساوي zero وهنا تيتا تساوي باي على اتنين يبقى الملحنة بهذا الشكل هك و بده يجي لهدا هك طبعا بلّة الحالة الرابعة والاخيرة اللي هي R تساوي A زائد B في صيني الزاوية تيتا", "tokens": [2655, 36081, 995, 6055, 3794, 995, 45865, 4018, 37037, 8315, 6055, 36081, 995, 6055, 3794, 995, 45865, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 9673, 1211, 5016, 1863, 3660, 39627, 15730, 25124, 28820, 8032, 4117, 4032, 47525, 3224, 7251, 7435, 1829, 46740, 28259, 8032, 4117, 23032, 3555, 3615, 995, 4724, 1211, 11703, 3660, 21542, 6027, 3660, 34892, 16758, 27884, 16070, 47283, 48923, 13672, 1829, 39896, 497, 6055, 3794, 995, 45865, 316, 30767, 16373, 3215, 363, 8978, 20328, 9957, 1829, 6024, 110, 995, 2407, 10632, 6055, 36081, 995], "avg_logprob": -0.331182069428589, "compression_ratio": 1.670391061452514, "no_speech_prob": 0.0, "words": [{"start": 1391.68, "end": 1392.36, "word": "تيتا", "probability": 0.3856201171875}, {"start": 1392.36, "end": 1393.02, "word": " تساوي", "probability": 0.751708984375}, {"start": 1393.02, "end": 1393.46, "word": " zero", "probability": 0.1978759765625}, {"start": 1393.46, "end": 1394.38, "word": " وهنا", "probability": 0.6903076171875}, {"start": 1394.38, "end": 1394.86, "word": " تيتا", "probability": 0.97607421875}, {"start": 1394.86, "end": 1395.56, "word": " تساوي", "probability": 0.972900390625}, {"start": 1395.56, "end": 1396.12, "word": " باي", "probability": 0.49365234375}, {"start": 1396.12, "end": 1397.02, "word": " على", "probability": 0.71240234375}, {"start": 1397.02, "end": 1397.96, "word": " اتنين", "probability": 0.9365234375}, {"start": 1397.96, "end": 1398.82, "word": " يبقى", "probability": 0.9202880859375}, {"start": 1398.82, "end": 1399.56, "word": " الملحنة", "probability": 0.83798828125}, {"start": 1399.56, "end": 1400.0, "word": " بهذا", "probability": 0.89892578125}, {"start": 1400.0, "end": 1400.66, "word": " الشكل", "probability": 0.986572265625}, {"start": 1400.66, "end": 1401.32, "word": " هك", "probability": 0.6209716796875}, {"start": 1401.32, "end": 1401.82, "word": " و", "probability": 0.213134765625}, {"start": 1401.82, "end": 1402.16, "word": " بده", "probability": 0.4161376953125}, {"start": 1402.16, "end": 1402.42, "word": " يجي", "probability": 0.9459635416666666}, {"start": 1402.42, "end": 1402.92, "word": " لهدا", "probability": 0.546630859375}, {"start": 1402.92, "end": 1405.66, "word": " هك", "probability": 0.819580078125}, {"start": 1405.66, "end": 1406.78, "word": " طبعا", "probability": 0.81134033203125}, {"start": 1406.78, "end": 1407.94, "word": " بلّة", "probability": 0.52703857421875}, {"start": 1407.94, "end": 1408.48, "word": " الحالة", "probability": 0.8876953125}, {"start": 1408.48, "end": 1408.88, "word": " الرابعة", "probability": 0.9251302083333334}, {"start": 1408.88, "end": 1409.66, "word": " والاخيرة", "probability": 0.750732421875}, {"start": 1409.66, "end": 1409.9, "word": " اللي", "probability": 0.74853515625}, {"start": 1409.9, "end": 1410.2, "word": " هي", "probability": 0.431640625}, {"start": 1410.2, "end": 1410.68, "word": " R", "probability": 0.55810546875}, {"start": 1410.68, "end": 1412.0, "word": " تساوي", "probability": 0.967529296875}, {"start": 1412.0, "end": 1412.6, "word": " A", "probability": 0.50927734375}, {"start": 1412.6, "end": 1413.7, "word": " زائد", "probability": 0.8660481770833334}, {"start": 1413.7, "end": 1414.14, "word": " B", "probability": 0.8173828125}, {"start": 1414.14, "end": 1414.74, "word": " في", "probability": 0.90869140625}, {"start": 1414.74, "end": 1415.52, "word": " صيني", "probability": 0.6744791666666666}, {"start": 1415.52, "end": 1416.02, "word": " الزاوية", "probability": 0.90654296875}, {"start": 1416.02, "end": 1416.52, "word": " تيتا", "probability": 0.9611002604166666}], "temperature": 1.0}, {"id": 63, "seek": 144047, "start": 1422.83, "end": 1440.47, "text": "المنحنة هيصبح على الشكل التالي هذا theta تساوي zero وهذا theta تساوي باي على اتنين المنحنة هيصبح بالشكل هذا هيك وهذا يكمل هيك ويجي طالع", "tokens": [45340, 1863, 5016, 1863, 3660, 39896, 9381, 49628, 15844, 25124, 28820, 16712, 6027, 1829, 23758, 9725, 6055, 3794, 995, 45865, 4018, 37037, 15730, 9725, 6055, 3794, 995, 45865, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 9673, 1863, 5016, 1863, 3660, 39896, 9381, 49628, 20666, 8592, 28820, 23758, 39896, 4117, 37037, 15730, 7251, 24793, 1211, 39896, 4117, 4032, 1829, 7435, 1829, 23032, 6027, 3615], "avg_logprob": -0.3449707073159516, "compression_ratio": 1.7984496124031009, "no_speech_prob": 0.0, "words": [{"start": 1422.83, "end": 1423.69, "word": "المنحنة", "probability": 0.6482421875}, {"start": 1423.69, "end": 1424.21, "word": " هيصبح", "probability": 0.8287760416666666}, {"start": 1424.21, "end": 1424.45, "word": " على", "probability": 0.90087890625}, {"start": 1424.45, "end": 1424.99, "word": " الشكل", "probability": 0.956787109375}, {"start": 1424.99, "end": 1425.71, "word": " التالي", "probability": 0.97314453125}, {"start": 1425.71, "end": 1427.33, "word": " هذا", "probability": 0.54052734375}, {"start": 1427.33, "end": 1427.75, "word": " theta", "probability": 0.283935546875}, {"start": 1427.75, "end": 1428.45, "word": " تساوي", "probability": 0.8209228515625}, {"start": 1428.45, "end": 1428.87, "word": " zero", "probability": 0.53125}, {"start": 1428.87, "end": 1429.89, "word": " وهذا", "probability": 0.827392578125}, {"start": 1429.89, "end": 1430.27, "word": " theta", "probability": 0.6416015625}, {"start": 1430.27, "end": 1431.01, "word": " تساوي", "probability": 0.9642333984375}, {"start": 1431.01, "end": 1431.61, "word": " باي", "probability": 0.3836669921875}, {"start": 1431.61, "end": 1432.29, "word": " على", "probability": 0.724609375}, {"start": 1432.29, "end": 1433.09, "word": " اتنين", "probability": 0.9393310546875}, {"start": 1433.09, "end": 1434.51, "word": " المنحنة", "probability": 0.94658203125}, {"start": 1434.51, "end": 1434.93, "word": " هيصبح", "probability": 0.7742513020833334}, {"start": 1434.93, "end": 1435.47, "word": " بالشكل", "probability": 0.8642578125}, {"start": 1435.47, "end": 1435.79, "word": " هذا", "probability": 0.5625}, {"start": 1435.79, "end": 1436.45, "word": " هيك", "probability": 0.63916015625}, {"start": 1436.45, "end": 1437.51, "word": " وهذا", "probability": 0.801513671875}, {"start": 1437.51, "end": 1438.87, "word": " يكمل", "probability": 0.60498046875}, {"start": 1438.87, "end": 1439.61, "word": " هيك", "probability": 0.58642578125}, {"start": 1439.61, "end": 1440.05, "word": " ويجي", "probability": 0.654876708984375}, {"start": 1440.05, "end": 1440.47, "word": " طالع", "probability": 0.8562825520833334}], "temperature": 1.0}, {"id": 64, "seek": 146822, "start": 1442.2, "end": 1468.22, "text": "تمام؟ يبقى هذه الحالات الأربعة الأخرى طب الحالة الرابعة والاخيرة لو كان ال a greater than b and ال a على b أكبر من أو يسوى 2 النقطة هذا كله بروح و بصير تقوس للخار يصير convex لماثون", "tokens": [2655, 15042, 2304, 22807, 7251, 3555, 4587, 7578, 29538, 21542, 6027, 9307, 16247, 25513, 27884, 16247, 34740, 7578, 23032, 3555, 21542, 6027, 3660, 34892, 16758, 27884, 16070, 47283, 48923, 45164, 25961, 2423, 257, 5044, 813, 272, 293, 2423, 257, 15844, 272, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 2407, 7578, 568, 28239, 47432, 3660, 23758, 28242, 3224, 4724, 32887, 5016, 4032, 4724, 9381, 13546, 6055, 4587, 41779, 24976, 9778, 9640, 7251, 9381, 13546, 42432, 32767, 5718, 104, 11536], "avg_logprob": -0.2409019055245798, "compression_ratio": 1.5544041450777202, "no_speech_prob": 0.0, "words": [{"start": 1442.2, "end": 1443.32, "word": "تمام؟", "probability": 0.64935302734375}, {"start": 1443.32, "end": 1443.78, "word": " يبقى", "probability": 0.95458984375}, {"start": 1443.78, "end": 1444.04, "word": " هذه", "probability": 0.61767578125}, {"start": 1444.04, "end": 1444.74, "word": " الحالات", "probability": 0.9820963541666666}, {"start": 1444.74, "end": 1445.44, "word": " الأربعة", "probability": 0.8313802083333334}, {"start": 1445.44, "end": 1446.1, "word": " الأخرى", "probability": 0.9208984375}, {"start": 1446.1, "end": 1446.3, "word": " طب", "probability": 0.6539306640625}, {"start": 1446.3, "end": 1446.8, "word": " الحالة", "probability": 0.9762369791666666}, {"start": 1446.8, "end": 1447.5, "word": " الرابعة", "probability": 0.9871419270833334}, {"start": 1447.5, "end": 1449.4, "word": " والاخيرة", "probability": 0.7421875}, {"start": 1449.4, "end": 1450.2, "word": " لو", "probability": 0.5712890625}, {"start": 1450.2, "end": 1450.98, "word": " كان", "probability": 0.99462890625}, {"start": 1450.98, "end": 1451.8, "word": " ال", "probability": 0.84375}, {"start": 1451.8, "end": 1452.18, "word": " a", "probability": 0.478271484375}, {"start": 1452.18, "end": 1452.74, "word": " greater", "probability": 0.564453125}, {"start": 1452.74, "end": 1453.36, "word": " than", "probability": 0.9501953125}, {"start": 1453.36, "end": 1453.78, "word": " b", "probability": 0.82470703125}, {"start": 1453.78, "end": 1454.74, "word": " and", "probability": 0.94580078125}, {"start": 1454.74, "end": 1455.88, "word": " ال", "probability": 0.7841796875}, {"start": 1455.88, "end": 1456.4, "word": " a", "probability": 0.96044921875}, {"start": 1456.4, "end": 1457.42, "word": " على", "probability": 0.351806640625}, {"start": 1457.42, "end": 1457.78, "word": " b", "probability": 0.8447265625}, {"start": 1457.78, "end": 1458.66, "word": " أكبر", "probability": 0.9405924479166666}, {"start": 1458.66, "end": 1458.94, "word": " من", "probability": 0.9638671875}, {"start": 1458.94, "end": 1459.22, "word": " أو", "probability": 0.61474609375}, {"start": 1459.22, "end": 1459.88, "word": " يسوى", "probability": 0.849853515625}, {"start": 1459.88, "end": 1460.3, "word": " 2", "probability": 0.63330078125}, {"start": 1460.3, "end": 1462.06, "word": " النقطة", "probability": 0.833984375}, {"start": 1462.06, "end": 1462.46, "word": " هذا", "probability": 0.222412109375}, {"start": 1462.46, "end": 1462.98, "word": " كله", "probability": 0.8115234375}, {"start": 1462.98, "end": 1463.52, "word": " بروح", "probability": 0.9235026041666666}, {"start": 1463.52, "end": 1463.66, "word": " و", "probability": 0.64111328125}, {"start": 1463.66, "end": 1464.0, "word": " بصير", "probability": 0.9466145833333334}, {"start": 1464.0, "end": 1464.8, "word": " تقوس", "probability": 0.9191080729166666}, {"start": 1464.8, "end": 1465.44, "word": " للخار", "probability": 0.8837890625}, {"start": 1465.44, "end": 1465.8, "word": " يصير", "probability": 0.8447265625}, {"start": 1465.8, "end": 1466.86, "word": " convex", "probability": 0.51416015625}, {"start": 1466.86, "end": 1468.22, "word": " لماثون", "probability": 0.6788330078125}], "temperature": 1.0}, {"id": 65, "seek": 147636, "start": 1469.42, "end": 1476.36, "text": "هذا مثلا لماذا نسميه ايه دنت؟ لأن بي عاجل يدخل دنت", "tokens": [3224, 15730, 50113, 15040, 32767, 45636, 995, 8717, 38251, 1829, 3224, 1975, 1829, 3224, 11778, 29399, 22807, 5296, 33456, 4724, 1829, 6225, 26108, 1211, 7251, 3215, 9778, 1211, 11778, 29399], "avg_logprob": -0.5372983794058522, "compression_ratio": 1.2, "no_speech_prob": 0.0, "words": [{"start": 1469.42, "end": 1470.46, "word": "هذا", "probability": 0.835205078125}, {"start": 1470.46, "end": 1470.82, "word": " مثلا", "probability": 0.47821044921875}, {"start": 1470.82, "end": 1471.98, "word": " لماذا", "probability": 0.5912272135416666}, {"start": 1471.98, "end": 1472.36, "word": " نسميه", "probability": 0.72222900390625}, {"start": 1472.36, "end": 1472.88, "word": " ايه", "probability": 0.6812337239583334}, {"start": 1472.88, "end": 1473.9, "word": " دنت؟", "probability": 0.449951171875}, {"start": 1473.9, "end": 1474.3, "word": " لأن", "probability": 0.4713134765625}, {"start": 1474.3, "end": 1474.58, "word": " بي", "probability": 0.37744140625}, {"start": 1474.58, "end": 1475.02, "word": " عاجل", "probability": 0.5631510416666666}, {"start": 1475.02, "end": 1475.56, "word": " يدخل", "probability": 0.8543701171875}, {"start": 1475.56, "end": 1476.36, "word": " دنت", "probability": 0.93115234375}], "temperature": 1.0}, {"id": 66, "seek": 150308, "start": 1477.32, "end": 1503.08, "text": "يعني انه two او ان بعاجلة داخل الان لو جينا لهذا سيصبح المنحنى اله R يساوي A زائد B P Cos الزاوية ثيتا يبقى المنحنى بيصير بالشكل هذا هذا ثيتا تساوي Zero وهذا ثيتا تساوي Pi على الاتنين هذا المنحنى هيك الشكل هذا", "tokens": [40228, 22653, 16472, 3224, 732, 1975, 2407, 16472, 45030, 26108, 37977, 11778, 47283, 1211, 2423, 7649, 45164, 10874, 1829, 8315, 46740, 15730, 8608, 1829, 9381, 49628, 9673, 1863, 5016, 1863, 7578, 2423, 3224, 497, 7251, 3794, 995, 45865, 316, 30767, 16373, 3215, 363, 430, 15855, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 7578, 4724, 1829, 9381, 13546, 20666, 8592, 28820, 23758, 23758, 38637, 36081, 995, 6055, 3794, 995, 45865, 17182, 37037, 15730, 38637, 36081, 995, 6055, 3794, 995, 45865, 17741, 15844, 2423, 9307, 1863, 9957, 23758, 9673, 1863, 5016, 1863, 7578, 39896, 4117, 25124, 28820, 23758], "avg_logprob": -0.34109670176820933, "compression_ratio": 1.8556701030927836, "no_speech_prob": 0.0, "words": [{"start": 1477.32, "end": 1477.84, "word": "يعني", "probability": 0.658203125}, {"start": 1477.84, "end": 1478.22, "word": " انه", "probability": 0.65478515625}, {"start": 1478.22, "end": 1478.46, "word": " two", "probability": 0.260009765625}, {"start": 1478.46, "end": 1478.84, "word": " او", "probability": 0.69921875}, {"start": 1478.84, "end": 1478.96, "word": " ان", "probability": 0.59375}, {"start": 1478.96, "end": 1479.54, "word": " بعاجلة", "probability": 0.6917317708333334}, {"start": 1479.54, "end": 1480.12, "word": " داخل", "probability": 0.8444010416666666}, {"start": 1480.12, "end": 1481.22, "word": " الان", "probability": 0.686279296875}, {"start": 1481.22, "end": 1481.48, "word": " لو", "probability": 0.806640625}, {"start": 1481.48, "end": 1481.78, "word": " جينا", "probability": 0.752685546875}, {"start": 1481.78, "end": 1482.42, "word": " لهذا", "probability": 0.96728515625}, {"start": 1482.42, "end": 1483.28, "word": " سيصبح", "probability": 0.513885498046875}, {"start": 1483.28, "end": 1484.06, "word": " المنحنى", "probability": 0.8369140625}, {"start": 1484.06, "end": 1484.86, "word": " اله", "probability": 0.25067138671875}, {"start": 1484.86, "end": 1485.36, "word": " R", "probability": 0.369873046875}, {"start": 1485.36, "end": 1486.1, "word": " يساوي", "probability": 0.7381591796875}, {"start": 1486.1, "end": 1486.64, "word": " A", "probability": 0.58251953125}, {"start": 1486.64, "end": 1487.44, "word": " زائد", "probability": 0.6552734375}, {"start": 1487.44, "end": 1487.88, "word": " B", "probability": 0.5224609375}, {"start": 1487.88, "end": 1488.36, "word": " P", "probability": 0.315673828125}, {"start": 1488.36, "end": 1488.96, "word": " Cos", "probability": 0.259765625}, {"start": 1488.96, "end": 1489.52, "word": " الزاوية", "probability": 0.8317626953125}, {"start": 1489.52, "end": 1490.0, "word": " ثيتا", "probability": 0.6070149739583334}, {"start": 1490.0, "end": 1490.98, "word": " يبقى", "probability": 0.9393310546875}, {"start": 1490.98, "end": 1491.68, "word": " المنحنى", "probability": 0.9783203125}, {"start": 1491.68, "end": 1492.14, "word": " بيصير", "probability": 0.65069580078125}, {"start": 1492.14, "end": 1492.64, "word": " بالشكل", "probability": 0.92529296875}, {"start": 1492.64, "end": 1493.0, "word": " هذا", "probability": 0.9150390625}, {"start": 1493.0, "end": 1493.72, "word": " هذا", "probability": 0.5185546875}, {"start": 1493.72, "end": 1494.2, "word": " ثيتا", "probability": 0.8116861979166666}, {"start": 1494.2, "end": 1494.72, "word": " تساوي", "probability": 0.954345703125}, {"start": 1494.72, "end": 1495.12, "word": " Zero", "probability": 0.6337890625}, {"start": 1495.12, "end": 1496.06, "word": " وهذا", "probability": 0.8681640625}, {"start": 1496.06, "end": 1496.5, "word": " ثيتا", "probability": 0.8590494791666666}, {"start": 1496.5, "end": 1497.06, "word": " تساوي", "probability": 0.9442138671875}, {"start": 1497.06, "end": 1497.54, "word": " Pi", "probability": 0.33447265625}, {"start": 1497.54, "end": 1498.48, "word": " على", "probability": 0.75732421875}, {"start": 1498.48, "end": 1499.88, "word": " الاتنين", "probability": 0.75726318359375}, {"start": 1499.88, "end": 1500.52, "word": " هذا", "probability": 0.86572265625}, {"start": 1500.52, "end": 1501.24, "word": " المنحنى", "probability": 0.950390625}, {"start": 1501.24, "end": 1501.8, "word": " هيك", "probability": 0.6654052734375}, {"start": 1501.8, "end": 1502.82, "word": " الشكل", "probability": 0.73486328125}, {"start": 1502.82, "end": 1503.08, "word": " هذا", "probability": 0.94677734375}], "temperature": 1.0}, {"id": 67, "seek": 153208, "start": 1503.66, "end": 1532.08, "text": "بعد ما أقدمت هذه بيصير للخارجي بيصير عندي على شكل قوس بهذا الشكل من هنا مسميه convex lemas lemas المحدد طبعا طيب لو كان بالشكل اللي عندنا هذا I θ تساوي zero و هنا θ تساوي πي على الأتنين يبقى الملحنة بيصير بالشكل هذا", "tokens": [3555, 22488, 19446, 5551, 28543, 2304, 2655, 29538, 4724, 1829, 9381, 13546, 24976, 9778, 9640, 7435, 1829, 4724, 1829, 9381, 13546, 18871, 16254, 15844, 13412, 28820, 12174, 41779, 39627, 15730, 25124, 28820, 9154, 34105, 3714, 38251, 1829, 3224, 42432, 7495, 296, 7495, 296, 9673, 24401, 3215, 23032, 3555, 3615, 995, 23032, 1829, 3555, 45164, 25961, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 286, 12622, 6055, 3794, 995, 45865, 4018, 4032, 34105, 12622, 6055, 3794, 995, 45865, 4654, 1829, 15844, 16247, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 9673, 1211, 5016, 1863, 3660, 4724, 1829, 9381, 13546, 20666, 8592, 28820, 23758], "avg_logprob": -0.32077206466712205, "compression_ratio": 1.7345971563981042, "no_speech_prob": 0.0, "words": [{"start": 1503.66, "end": 1504.08, "word": "بعد", "probability": 0.352783203125}, {"start": 1504.08, "end": 1504.24, "word": " ما", "probability": 0.421142578125}, {"start": 1504.24, "end": 1504.72, "word": " أقدمت", "probability": 0.673095703125}, {"start": 1504.72, "end": 1504.94, "word": " هذه", "probability": 0.6796875}, {"start": 1504.94, "end": 1505.4, "word": " بيصير", "probability": 0.62890625}, {"start": 1505.4, "end": 1506.28, "word": " للخارجي", "probability": 0.88349609375}, {"start": 1506.28, "end": 1506.9, "word": " بيصير", "probability": 0.8150634765625}, {"start": 1506.9, "end": 1507.42, "word": " عندي", "probability": 0.912109375}, {"start": 1507.42, "end": 1508.34, "word": " على", "probability": 0.92578125}, {"start": 1508.34, "end": 1509.08, "word": " شكل", "probability": 0.98095703125}, {"start": 1509.08, "end": 1509.72, "word": " قوس", "probability": 0.95361328125}, {"start": 1509.72, "end": 1510.26, "word": " بهذا", "probability": 0.906005859375}, {"start": 1510.26, "end": 1510.8, "word": " الشكل", "probability": 0.9873046875}, {"start": 1510.8, "end": 1511.54, "word": " من", "probability": 0.75390625}, {"start": 1511.54, "end": 1511.76, "word": " هنا", "probability": 0.9873046875}, {"start": 1511.76, "end": 1512.5, "word": " مسميه", "probability": 0.680816650390625}, {"start": 1512.5, "end": 1513.24, "word": " convex", "probability": 0.7587890625}, {"start": 1513.24, "end": 1513.82, "word": " lemas", "probability": 0.610595703125}, {"start": 1513.82, "end": 1514.32, "word": " lemas", "probability": 0.53997802734375}, {"start": 1514.32, "end": 1515.52, "word": " المحدد", "probability": 0.8567708333333334}, {"start": 1515.52, "end": 1516.62, "word": " طبعا", "probability": 0.73468017578125}, {"start": 1516.62, "end": 1517.86, "word": " طيب", "probability": 0.7975260416666666}, {"start": 1517.86, "end": 1518.36, "word": " لو", "probability": 0.8251953125}, {"start": 1518.36, "end": 1518.82, "word": " كان", "probability": 0.99658203125}, {"start": 1518.82, "end": 1519.34, "word": " بالشكل", "probability": 0.9557291666666666}, {"start": 1519.34, "end": 1519.52, "word": " اللي", "probability": 0.948974609375}, {"start": 1519.52, "end": 1519.86, "word": " عندنا", "probability": 0.966552734375}, {"start": 1519.86, "end": 1520.28, "word": " هذا", "probability": 0.8125}, {"start": 1520.28, "end": 1522.22, "word": " I", "probability": 0.310546875}, {"start": 1522.22, "end": 1522.5, "word": " θ", "probability": 0.38037109375}, {"start": 1522.5, "end": 1523.28, "word": " تساوي", "probability": 0.858154296875}, {"start": 1523.28, "end": 1523.74, "word": " zero", "probability": 0.390625}, {"start": 1523.74, "end": 1524.36, "word": " و", "probability": 0.491455078125}, {"start": 1524.36, "end": 1524.58, "word": " هنا", "probability": 0.68310546875}, {"start": 1524.58, "end": 1524.92, "word": " θ", "probability": 0.84912109375}, {"start": 1524.92, "end": 1525.72, "word": " تساوي", "probability": 0.9827880859375}, {"start": 1525.72, "end": 1526.38, "word": " πي", "probability": 0.3406982421875}, {"start": 1526.38, "end": 1527.54, "word": " على", "probability": 0.7294921875}, {"start": 1527.54, "end": 1528.8, "word": " الأتنين", "probability": 0.7545166015625}, {"start": 1528.8, "end": 1529.88, "word": " يبقى", "probability": 0.961669921875}, {"start": 1529.88, "end": 1530.56, "word": " الملحنة", "probability": 0.798681640625}, {"start": 1530.56, "end": 1531.24, "word": " بيصير", "probability": 0.81390380859375}, {"start": 1531.24, "end": 1531.76, "word": " بالشكل", "probability": 0.9866536458333334}, {"start": 1531.76, "end": 1532.08, "word": " هذا", "probability": 0.80224609375}], "temperature": 1.0}, {"id": 68, "seek": 154981, "start": 1535.67, "end": 1549.81, "text": "هذا اللي هو ال R تساوي and ال A على B greater than or equal to 2 هذا ال R تساوي", "tokens": [3224, 15730, 13672, 1829, 31439, 2423, 497, 6055, 3794, 995, 45865, 293, 2423, 316, 15844, 363, 5044, 813, 420, 2681, 281, 568, 23758, 2423, 497, 6055, 3794, 995, 45865], "avg_logprob": -0.2778645743926366, "compression_ratio": 1.2359550561797752, "no_speech_prob": 0.0, "words": [{"start": 1535.67, "end": 1536.19, "word": "هذا", "probability": 0.814208984375}, {"start": 1536.19, "end": 1536.39, "word": " اللي", "probability": 0.6905517578125}, {"start": 1536.39, "end": 1536.55, "word": " هو", "probability": 0.89599609375}, {"start": 1536.55, "end": 1536.71, "word": " ال", "probability": 0.73681640625}, {"start": 1536.71, "end": 1536.99, "word": " R", "probability": 0.265625}, {"start": 1536.99, "end": 1538.05, "word": " تساوي", "probability": 0.952880859375}, {"start": 1538.05, "end": 1542.91, "word": " and", "probability": 0.2069091796875}, {"start": 1542.91, "end": 1543.55, "word": " ال", "probability": 0.44482421875}, {"start": 1543.55, "end": 1543.95, "word": " A", "probability": 0.7978515625}, {"start": 1543.95, "end": 1544.51, "word": " على", "probability": 0.54296875}, {"start": 1544.51, "end": 1544.95, "word": " B", "probability": 0.85986328125}, {"start": 1544.95, "end": 1545.47, "word": " greater", "probability": 0.6572265625}, {"start": 1545.47, "end": 1545.91, "word": " than", "probability": 0.91357421875}, {"start": 1545.91, "end": 1546.13, "word": " or", "probability": 0.94970703125}, {"start": 1546.13, "end": 1546.41, "word": " equal", "probability": 0.939453125}, {"start": 1546.41, "end": 1546.77, "word": " to", "probability": 0.98291015625}, {"start": 1546.77, "end": 1547.11, "word": " 2", "probability": 0.57568359375}, {"start": 1547.11, "end": 1547.89, "word": " هذا", "probability": 0.80615234375}, {"start": 1547.89, "end": 1548.21, "word": " ال", "probability": 0.92333984375}, {"start": 1548.21, "end": 1548.69, "word": " R", "probability": 0.96875}, {"start": 1548.69, "end": 1549.81, "word": " تساوي", "probability": 0.985107421875}], "temperature": 1.0}, {"id": 69, "seek": 157946, "start": 1554.42, "end": 1579.46, "text": "تساوي اللي هو ال a ناقص ال b في cosine الزاوية ثيتا لو جينا لل sign بنفس الطريقة يبقى بدي جينا المنحنة بالشكل هذا R تساوي a ناقص b في sine الزاوية ثيتا يبقى المنحنة بيجينا بالشكل هذا", "tokens": [2655, 3794, 995, 45865, 13672, 1829, 31439, 2423, 257, 8717, 995, 4587, 9381, 2423, 272, 8978, 23565, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 45164, 10874, 1829, 8315, 24976, 1465, 44945, 36178, 41950, 16572, 28671, 7251, 3555, 4587, 7578, 4724, 16254, 10874, 1829, 8315, 9673, 1863, 5016, 1863, 3660, 20666, 8592, 28820, 23758, 497, 6055, 3794, 995, 45865, 257, 8717, 995, 4587, 9381, 272, 8978, 18609, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 3660, 4724, 1829, 7435, 1829, 8315, 20666, 8592, 28820, 23758], "avg_logprob": -0.24551196982885928, "compression_ratio": 1.9012345679012346, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1554.42, "end": 1555.54, "word": "تساوي", "probability": 0.6994781494140625}, {"start": 1555.54, "end": 1556.26, "word": " اللي", "probability": 0.52642822265625}, {"start": 1556.26, "end": 1556.4, "word": " هو", "probability": 0.9443359375}, {"start": 1556.4, "end": 1556.68, "word": " ال", "probability": 0.170654296875}, {"start": 1556.68, "end": 1556.98, "word": " a", "probability": 0.363037109375}, {"start": 1556.98, "end": 1558.06, "word": " ناقص", "probability": 0.87255859375}, {"start": 1558.06, "end": 1558.26, "word": " ال", "probability": 0.90966796875}, {"start": 1558.26, "end": 1558.62, "word": " b", "probability": 0.72802734375}, {"start": 1558.62, "end": 1559.04, "word": " في", "probability": 0.92919921875}, {"start": 1559.04, "end": 1559.68, "word": " cosine", "probability": 0.3837890625}, {"start": 1559.68, "end": 1560.3, "word": " الزاوية", "probability": 0.9310546875}, {"start": 1560.3, "end": 1560.74, "word": " ثيتا", "probability": 0.5770263671875}, {"start": 1560.74, "end": 1561.72, "word": " لو", "probability": 0.5908203125}, {"start": 1561.72, "end": 1562.12, "word": " جينا", "probability": 0.9833984375}, {"start": 1562.12, "end": 1562.46, "word": " لل", "probability": 0.8837890625}, {"start": 1562.46, "end": 1562.8, "word": " sign", "probability": 0.57861328125}, {"start": 1562.8, "end": 1563.4, "word": " بنفس", "probability": 0.823486328125}, {"start": 1563.4, "end": 1564.34, "word": " الطريقة", "probability": 0.9894205729166666}, {"start": 1564.34, "end": 1565.44, "word": " يبقى", "probability": 0.9110107421875}, {"start": 1565.44, "end": 1565.8, "word": " بدي", "probability": 0.5167236328125}, {"start": 1565.8, "end": 1566.12, "word": " جينا", "probability": 0.78466796875}, {"start": 1566.12, "end": 1567.04, "word": " المنحنة", "probability": 0.84140625}, {"start": 1567.04, "end": 1568.0, "word": " بالشكل", "probability": 0.9500325520833334}, {"start": 1568.0, "end": 1568.44, "word": " هذا", "probability": 0.9228515625}, {"start": 1568.44, "end": 1569.4, "word": " R", "probability": 0.443115234375}, {"start": 1569.4, "end": 1570.32, "word": " تساوي", "probability": 0.9166259765625}, {"start": 1570.32, "end": 1570.96, "word": " a", "probability": 0.87353515625}, {"start": 1570.96, "end": 1572.16, "word": " ناقص", "probability": 0.9620361328125}, {"start": 1572.16, "end": 1572.62, "word": " b", "probability": 0.70654296875}, {"start": 1572.62, "end": 1573.26, "word": " في", "probability": 0.96630859375}, {"start": 1573.26, "end": 1574.06, "word": " sine", "probability": 0.310546875}, {"start": 1574.06, "end": 1575.46, "word": " الزاوية", "probability": 0.96884765625}, {"start": 1575.46, "end": 1576.2, "word": " ثيتا", "probability": 0.9182942708333334}, {"start": 1576.2, "end": 1577.0, "word": " يبقى", "probability": 0.9722900390625}, {"start": 1577.0, "end": 1577.84, "word": " المنحنة", "probability": 0.99111328125}, {"start": 1577.84, "end": 1578.64, "word": " بيجينا", "probability": 0.90390625}, {"start": 1578.64, "end": 1579.18, "word": " بالشكل", "probability": 0.95556640625}, {"start": 1579.18, "end": 1579.46, "word": " هذا", "probability": 0.94482421875}], "temperature": 1.0}, {"id": 70, "seek": 160792, "start": 1580.88, "end": 1607.92, "text": "ومن هنا بيصير قوس بهذا الشكل الحالة الرابعة والاخيرة R تسوى A زائد B في صيني الزاوية ثيتا يبقى المنحنة بيجينا بالشكل هذا ثيتا تسوى Zero وثيتا تسوى Pi على اتنين المنحنة بالشكل هذا هيك وهذا بيجي لك قوس بهذا الشكل", "tokens": [2407, 27842, 34105, 4724, 1829, 9381, 13546, 12174, 41779, 39627, 15730, 25124, 28820, 21542, 6027, 3660, 34892, 16758, 27884, 16070, 47283, 48923, 497, 6055, 3794, 2407, 7578, 316, 30767, 16373, 3215, 363, 8978, 20328, 9957, 1829, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 7251, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 3660, 4724, 1829, 7435, 1829, 8315, 20666, 8592, 28820, 23758, 38637, 36081, 995, 6055, 3794, 2407, 7578, 17182, 4032, 12984, 36081, 995, 6055, 3794, 2407, 7578, 17741, 15844, 1975, 2655, 1863, 9957, 9673, 1863, 5016, 1863, 3660, 20666, 8592, 28820, 23758, 39896, 4117, 4032, 3224, 15730, 4724, 1829, 7435, 1829, 5296, 4117, 12174, 41779, 39627, 15730, 25124, 28820], "avg_logprob": -0.29194820034611335, "compression_ratio": 1.9526315789473685, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1580.88, "end": 1581.32, "word": "ومن", "probability": 0.39599609375}, {"start": 1581.32, "end": 1581.6, "word": " هنا", "probability": 0.97021484375}, {"start": 1581.6, "end": 1582.1, "word": " بيصير", "probability": 0.61798095703125}, {"start": 1582.1, "end": 1582.94, "word": " قوس", "probability": 0.732177734375}, {"start": 1582.94, "end": 1583.64, "word": " بهذا", "probability": 0.6243896484375}, {"start": 1583.64, "end": 1584.12, "word": " الشكل", "probability": 0.986572265625}, {"start": 1584.12, "end": 1585.14, "word": " الحالة", "probability": 0.8963216145833334}, {"start": 1585.14, "end": 1585.52, "word": " الرابعة", "probability": 0.9607747395833334}, {"start": 1585.52, "end": 1586.44, "word": " والاخيرة", "probability": 0.87548828125}, {"start": 1586.44, "end": 1587.24, "word": " R", "probability": 0.363525390625}, {"start": 1587.24, "end": 1587.98, "word": " تسوى", "probability": 0.60546875}, {"start": 1587.98, "end": 1588.48, "word": " A", "probability": 0.7158203125}, {"start": 1588.48, "end": 1589.58, "word": " زائد", "probability": 0.6663411458333334}, {"start": 1589.58, "end": 1590.04, "word": " B", "probability": 0.92138671875}, {"start": 1590.04, "end": 1590.8, "word": " في", "probability": 0.85400390625}, {"start": 1590.8, "end": 1591.52, "word": " صيني", "probability": 0.67578125}, {"start": 1591.52, "end": 1592.02, "word": " الزاوية", "probability": 0.80537109375}, {"start": 1592.02, "end": 1592.72, "word": " ثيتا", "probability": 0.692626953125}, {"start": 1592.72, "end": 1593.78, "word": " يبقى", "probability": 0.9444580078125}, {"start": 1593.78, "end": 1594.62, "word": " المنحنة", "probability": 0.8443359375}, {"start": 1594.62, "end": 1595.68, "word": " بيجينا", "probability": 0.68056640625}, {"start": 1595.68, "end": 1596.24, "word": " بالشكل", "probability": 0.8072916666666666}, {"start": 1596.24, "end": 1596.66, "word": " هذا", "probability": 0.837890625}, {"start": 1596.66, "end": 1597.64, "word": " ثيتا", "probability": 0.7445475260416666}, {"start": 1597.64, "end": 1598.22, "word": " تسوى", "probability": 0.919921875}, {"start": 1598.22, "end": 1598.68, "word": " Zero", "probability": 0.658203125}, {"start": 1598.68, "end": 1599.78, "word": " وثيتا", "probability": 0.7020263671875}, {"start": 1599.78, "end": 1600.28, "word": " تسوى", "probability": 0.933349609375}, {"start": 1600.28, "end": 1600.56, "word": " Pi", "probability": 0.49169921875}, {"start": 1600.56, "end": 1600.82, "word": " على", "probability": 0.6572265625}, {"start": 1600.82, "end": 1601.9, "word": " اتنين", "probability": 0.9134521484375}, {"start": 1601.9, "end": 1602.86, "word": " المنحنة", "probability": 0.94453125}, {"start": 1602.86, "end": 1603.42, "word": " بالشكل", "probability": 0.8935546875}, {"start": 1603.42, "end": 1603.82, "word": " هذا", "probability": 0.85986328125}, {"start": 1603.82, "end": 1604.66, "word": " هيك", "probability": 0.61834716796875}, {"start": 1604.66, "end": 1605.3, "word": " وهذا", "probability": 0.6123860677083334}, {"start": 1605.3, "end": 1605.84, "word": " بيجي", "probability": 0.94921875}, {"start": 1605.84, "end": 1606.24, "word": " لك", "probability": 0.553955078125}, {"start": 1606.24, "end": 1606.88, "word": " قوس", "probability": 0.982177734375}, {"start": 1606.88, "end": 1607.48, "word": " بهذا", "probability": 0.885986328125}, {"start": 1607.48, "end": 1607.92, "word": " الشكل", "probability": 0.988037109375}], "temperature": 1.0}, {"id": 71, "seek": 163149, "start": 1610.89, "end": 1631.49, "text": "انا الآن يعني فهمتك تطلع على شكل المعادلة و تطلع على الأرقام تبعتها، كويس؟ بعد كده، بدك تروح تدرس الـsymmetry لكل واحدة منهم يعني احنا جيبنالك على طول كستنتاج، لكن لو جاك سؤال، بيجيك سؤال واحد بس", "tokens": [7649, 995, 6024, 48506, 37495, 22653, 6156, 16095, 2655, 4117, 6055, 9566, 1211, 3615, 15844, 13412, 28820, 9673, 3615, 18513, 37977, 4032, 6055, 9566, 1211, 3615, 15844, 16247, 2288, 4587, 10943, 6055, 3555, 34268, 11296, 12399, 9122, 45865, 3794, 22807, 39182, 9122, 3215, 3224, 12399, 47525, 4117, 6055, 32887, 5016, 6055, 3215, 2288, 3794, 2423, 39184, 3187, 2174, 9889, 5296, 28820, 36764, 24401, 3660, 9154, 16095, 37495, 22653, 1975, 5016, 8315, 10874, 1829, 3555, 8315, 23275, 15844, 23032, 12610, 9122, 14851, 29399, 26108, 12399, 44381, 45164, 10874, 995, 4117, 8608, 33604, 6027, 12399, 4724, 1829, 7435, 1829, 4117, 8608, 33604, 6027, 36764, 24401, 4724, 3794], "avg_logprob": -0.2004717009247474, "compression_ratio": 1.7128712871287128, "no_speech_prob": 0.0, "words": [{"start": 1610.89, "end": 1611.23, "word": "انا", "probability": 0.54241943359375}, {"start": 1611.23, "end": 1611.69, "word": " الآن", "probability": 0.6329345703125}, {"start": 1611.69, "end": 1612.79, "word": " يعني", "probability": 0.6964111328125}, {"start": 1612.79, "end": 1613.75, "word": " فهمتك", "probability": 0.986328125}, {"start": 1613.75, "end": 1615.15, "word": " تطلع", "probability": 0.71087646484375}, {"start": 1615.15, "end": 1615.33, "word": " على", "probability": 0.56298828125}, {"start": 1615.33, "end": 1615.73, "word": " شكل", "probability": 0.984619140625}, {"start": 1615.73, "end": 1616.41, "word": " المعادلة", "probability": 0.904296875}, {"start": 1616.41, "end": 1616.55, "word": " و", "probability": 0.38623046875}, {"start": 1616.55, "end": 1617.17, "word": " تطلع", "probability": 0.98193359375}, {"start": 1617.17, "end": 1617.35, "word": " على", "probability": 0.9365234375}, {"start": 1617.35, "end": 1618.17, "word": " الأرقام", "probability": 0.9730224609375}, {"start": 1618.17, "end": 1619.29, "word": " تبعتها،", "probability": 0.725732421875}, {"start": 1619.29, "end": 1620.25, "word": " كويس؟", "probability": 0.9405517578125}, {"start": 1620.25, "end": 1620.81, "word": " بعد", "probability": 0.83984375}, {"start": 1620.81, "end": 1621.67, "word": " كده،", "probability": 0.7254638671875}, {"start": 1621.67, "end": 1622.09, "word": " بدك", "probability": 0.6087646484375}, {"start": 1622.09, "end": 1622.47, "word": " تروح", "probability": 0.96044921875}, {"start": 1622.47, "end": 1622.97, "word": " تدرس", "probability": 0.988525390625}, {"start": 1622.97, "end": 1623.85, "word": " الـsymmetry", "probability": 0.764111328125}, {"start": 1623.85, "end": 1624.73, "word": " لكل", "probability": 0.965576171875}, {"start": 1624.73, "end": 1625.21, "word": " واحدة", "probability": 0.97802734375}, {"start": 1625.21, "end": 1625.73, "word": " منهم", "probability": 0.9912109375}, {"start": 1625.73, "end": 1626.43, "word": " يعني", "probability": 0.6903076171875}, {"start": 1626.43, "end": 1626.65, "word": " احنا", "probability": 0.9202473958333334}, {"start": 1626.65, "end": 1627.27, "word": " جيبنالك", "probability": 0.84013671875}, {"start": 1627.27, "end": 1627.43, "word": " على", "probability": 0.6513671875}, {"start": 1627.43, "end": 1627.55, "word": " طول", "probability": 0.986083984375}, {"start": 1627.55, "end": 1628.29, "word": " كستنتاج،", "probability": 0.725537109375}, {"start": 1628.29, "end": 1628.53, "word": " لكن", "probability": 0.9521484375}, {"start": 1628.53, "end": 1628.79, "word": " لو", "probability": 0.92333984375}, {"start": 1628.79, "end": 1629.13, "word": " جاك", "probability": 0.79833984375}, {"start": 1629.13, "end": 1630.09, "word": " سؤال،", "probability": 0.9617919921875}, {"start": 1630.09, "end": 1630.39, "word": " بيجيك", "probability": 0.917578125}, {"start": 1630.39, "end": 1630.65, "word": " سؤال", "probability": 0.9938151041666666}, {"start": 1630.65, "end": 1631.03, "word": " واحد", "probability": 0.99755859375}, {"start": 1631.03, "end": 1631.49, "word": " بس", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 72, "seek": 165602, "start": 1632.2, "end": 1656.02, "text": "زي احنا ما بدأنا الحالة الأولى الأصلى، يجيك سؤال، لكن امتى من خلال معادلة يكون طبعة في دماغك ما هو شكل الرسمة؟ فبتروح تعمل الجدول وبتروح ترسم الرسمة، وإذا جالك فيلم دي حال، نمره راح ت discuss the symmetry، بدك تعمل ال symmetry اللي معلناه هنا، طب ما جالنيش، جاللي ارسم واسكت", "tokens": [11622, 1829, 1975, 5016, 8315, 19446, 47525, 10721, 8315, 21542, 6027, 3660, 16247, 12610, 7578, 16247, 9381, 23942, 12399, 7251, 7435, 1829, 4117, 8608, 33604, 6027, 12399, 44381, 1975, 2304, 49975, 9154, 16490, 1211, 6027, 20449, 18513, 37977, 7251, 30544, 23032, 3555, 27884, 8978, 11778, 2304, 5718, 118, 4117, 19446, 31439, 13412, 28820, 34892, 38251, 3660, 22807, 6156, 3555, 2655, 32887, 5016, 6055, 25957, 1211, 25724, 3215, 12610, 46599, 2655, 32887, 5016, 6055, 2288, 38251, 34892, 38251, 3660, 12399, 4032, 28814, 15730, 10874, 6027, 4117, 8978, 19528, 11778, 1829, 11331, 6027, 12399, 8717, 29973, 3224, 12602, 39319, 6055, 2248, 264, 25440, 12399, 47525, 4117, 6055, 25957, 1211, 2423, 25440, 13672, 1829, 20449, 1211, 8315, 3224, 34105, 12399, 23032, 3555, 19446, 10874, 6027, 22653, 8592, 12399, 10874, 6027, 20292, 1975, 2288, 38251, 4032, 32277, 4117, 2655], "avg_logprob": -0.2509191248785047, "compression_ratio": 1.8045977011494252, "no_speech_prob": 0.0, "words": [{"start": 1632.2, "end": 1632.6, "word": "زي", "probability": 0.60943603515625}, {"start": 1632.6, "end": 1632.98, "word": " احنا", "probability": 0.754638671875}, {"start": 1632.98, "end": 1633.14, "word": " ما", "probability": 0.373779296875}, {"start": 1633.14, "end": 1633.54, "word": " بدأنا", "probability": 0.8846028645833334}, {"start": 1633.54, "end": 1634.04, "word": " الحالة", "probability": 0.9527994791666666}, {"start": 1634.04, "end": 1634.44, "word": " الأولى", "probability": 0.95703125}, {"start": 1634.44, "end": 1634.96, "word": " الأصلى،", "probability": 0.6365966796875}, {"start": 1634.96, "end": 1635.24, "word": " يجيك", "probability": 0.699615478515625}, {"start": 1635.24, "end": 1635.88, "word": " سؤال،", "probability": 0.86309814453125}, {"start": 1635.88, "end": 1636.44, "word": " لكن", "probability": 0.89990234375}, {"start": 1636.44, "end": 1636.96, "word": " امتى", "probability": 0.69921875}, {"start": 1636.96, "end": 1637.48, "word": " من", "probability": 0.93310546875}, {"start": 1637.48, "end": 1637.88, "word": " خلال", "probability": 0.9796549479166666}, {"start": 1637.88, "end": 1638.34, "word": " معادلة", "probability": 0.8372395833333334}, {"start": 1638.34, "end": 1638.58, "word": " يكون", "probability": 0.5408935546875}, {"start": 1638.58, "end": 1639.04, "word": " طبعة", "probability": 0.6442057291666666}, {"start": 1639.04, "end": 1639.2, "word": " في", "probability": 0.91796875}, {"start": 1639.2, "end": 1639.82, "word": " دماغك", "probability": 0.98427734375}, {"start": 1639.82, "end": 1640.04, "word": " ما", "probability": 0.96435546875}, {"start": 1640.04, "end": 1640.3, "word": " هو", "probability": 0.77783203125}, {"start": 1640.3, "end": 1640.82, "word": " شكل", "probability": 0.958251953125}, {"start": 1640.82, "end": 1641.7, "word": " الرسمة؟", "probability": 0.9124755859375}, {"start": 1641.7, "end": 1642.32, "word": " فبتروح", "probability": 0.96484375}, {"start": 1642.32, "end": 1642.84, "word": " تعمل", "probability": 0.8697916666666666}, {"start": 1642.84, "end": 1643.52, "word": " الجدول", "probability": 0.9474283854166666}, {"start": 1643.52, "end": 1644.4, "word": " وبتروح", "probability": 0.81085205078125}, {"start": 1644.4, "end": 1644.96, "word": " ترسم", "probability": 0.9794921875}, {"start": 1644.96, "end": 1646.36, "word": " الرسمة،", "probability": 0.85540771484375}, {"start": 1646.36, "end": 1646.72, "word": " وإذا", "probability": 0.91064453125}, {"start": 1646.72, "end": 1647.06, "word": " جالك", "probability": 0.7647298177083334}, {"start": 1647.06, "end": 1647.38, "word": " فيلم", "probability": 0.935302734375}, {"start": 1647.38, "end": 1647.64, "word": " دي", "probability": 0.504150390625}, {"start": 1647.64, "end": 1648.66, "word": " حال،", "probability": 0.5174153645833334}, {"start": 1648.66, "end": 1649.0, "word": " نمره", "probability": 0.5301106770833334}, {"start": 1649.0, "end": 1649.26, "word": " راح", "probability": 0.89013671875}, {"start": 1649.26, "end": 1649.44, "word": " ت", "probability": 0.51318359375}, {"start": 1649.44, "end": 1649.96, "word": " discuss", "probability": 0.76318359375}, {"start": 1649.96, "end": 1650.26, "word": " the", "probability": 0.86474609375}, {"start": 1650.26, "end": 1650.86, "word": " symmetry،", "probability": 0.885009765625}, {"start": 1650.86, "end": 1651.2, "word": " بدك", "probability": 0.8466796875}, {"start": 1651.2, "end": 1651.6, "word": " تعمل", "probability": 0.9921875}, {"start": 1651.6, "end": 1651.76, "word": " ال", "probability": 0.77197265625}, {"start": 1651.76, "end": 1652.06, "word": " symmetry", "probability": 0.798828125}, {"start": 1652.06, "end": 1652.32, "word": " اللي", "probability": 0.918212890625}, {"start": 1652.32, "end": 1653.02, "word": " معلناه", "probability": 0.68548583984375}, {"start": 1653.02, "end": 1653.8, "word": " هنا،", "probability": 0.861083984375}, {"start": 1653.8, "end": 1654.02, "word": " طب", "probability": 0.926513671875}, {"start": 1654.02, "end": 1654.14, "word": " ما", "probability": 0.8740234375}, {"start": 1654.14, "end": 1654.72, "word": " جالنيش،", "probability": 0.729931640625}, {"start": 1654.72, "end": 1654.96, "word": " جاللي", "probability": 0.837890625}, {"start": 1654.96, "end": 1655.38, "word": " ارسم", "probability": 0.8053385416666666}, {"start": 1655.38, "end": 1656.02, "word": " واسكت", "probability": 0.820556640625}], "temperature": 1.0}, {"id": 73, "seek": 168534, "start": 1656.5, "end": 1685.34, "text": "يبقى لا داعي للـsymmetry إذا كنت عارف شكل الرسم أعمله الجدول و أروح أرسمه أحيانا بنطلب الـsymmetry و بنطلبش الرسمة و أحيانا بنطلب الرسمة و الـsymmetry شكتين يبقى أنت بتتقيد بسيط السؤال على جدر السؤال بدها تكون الإجابة طيب أنا بدي أحط السؤال من عندي ها أنا وياك و نتناقش إنيات من الرسومات اللي عندي", "tokens": [1829, 3555, 4587, 7578, 20193, 11778, 45761, 1829, 24976, 39184, 3187, 2174, 9889, 11933, 15730, 9122, 29399, 6225, 9640, 5172, 13412, 28820, 34892, 38251, 5551, 25957, 43761, 25724, 3215, 12610, 4032, 5551, 32887, 5016, 5551, 2288, 38251, 3224, 5551, 5016, 1829, 7649, 995, 44945, 9566, 46152, 2423, 39184, 3187, 2174, 9889, 4032, 4724, 1863, 9566, 46152, 8592, 34892, 38251, 3660, 4032, 5551, 5016, 1829, 7649, 995, 44945, 9566, 46152, 34892, 38251, 3660, 4032, 2423, 39184, 3187, 2174, 9889, 13412, 4117, 2655, 9957, 7251, 3555, 4587, 7578, 14739, 2655, 39894, 2655, 4587, 25708, 4724, 3794, 1829, 9566, 21136, 33604, 6027, 15844, 10874, 3215, 2288, 21136, 33604, 6027, 47525, 11296, 6055, 30544, 33688, 7435, 16758, 3660, 23032, 1829, 3555, 41850, 4724, 16254, 5551, 5016, 9566, 21136, 33604, 6027, 9154, 18871, 16254, 8032, 995, 41850, 4032, 25528, 4117, 4032, 8717, 2655, 8315, 4587, 8592, 11933, 22653, 9307, 9154, 34892, 3794, 20498, 9307, 13672, 1829, 18871, 16254], "avg_logprob": -0.2072849078224851, "compression_ratio": 2.055776892430279, "no_speech_prob": 0.0, "words": [{"start": 1656.5, "end": 1656.94, "word": "يبقى", "probability": 0.650970458984375}, {"start": 1656.94, "end": 1657.1, "word": " لا", "probability": 0.6943359375}, {"start": 1657.1, "end": 1657.62, "word": " داعي", "probability": 0.95263671875}, {"start": 1657.62, "end": 1658.22, "word": " للـsymmetry", "probability": 0.675634765625}, {"start": 1658.22, "end": 1658.42, "word": " إذا", "probability": 0.836181640625}, {"start": 1658.42, "end": 1658.72, "word": " كنت", "probability": 0.9873046875}, {"start": 1658.72, "end": 1659.04, "word": " عارف", "probability": 0.9861653645833334}, {"start": 1659.04, "end": 1659.34, "word": " شكل", "probability": 0.951171875}, {"start": 1659.34, "end": 1659.56, "word": " الرسم", "probability": 0.963623046875}, {"start": 1659.56, "end": 1660.54, "word": " أعمله", "probability": 0.571533203125}, {"start": 1660.54, "end": 1661.26, "word": " الجدول", "probability": 0.9029947916666666}, {"start": 1661.26, "end": 1661.72, "word": " و", "probability": 0.904296875}, {"start": 1661.72, "end": 1662.12, "word": " أروح", "probability": 0.644287109375}, {"start": 1662.12, "end": 1663.18, "word": " أرسمه", "probability": 0.87939453125}, {"start": 1663.18, "end": 1664.14, "word": " أحيانا", "probability": 0.946875}, {"start": 1664.14, "end": 1664.6, "word": " بنطلب", "probability": 0.9152018229166666}, {"start": 1664.6, "end": 1665.14, "word": " الـsymmetry", "probability": 0.83837890625}, {"start": 1665.14, "end": 1665.3, "word": " و", "probability": 0.8681640625}, {"start": 1665.3, "end": 1665.72, "word": " بنطلبش", "probability": 0.6185302734375}, {"start": 1665.72, "end": 1666.3, "word": " الرسمة", "probability": 0.9441731770833334}, {"start": 1666.3, "end": 1666.96, "word": " و", "probability": 0.61669921875}, {"start": 1666.96, "end": 1667.24, "word": " أحيانا", "probability": 0.9923828125}, {"start": 1667.24, "end": 1667.62, "word": " بنطلب", "probability": 0.9718424479166666}, {"start": 1667.62, "end": 1668.2, "word": " الرسمة", "probability": 0.9832356770833334}, {"start": 1668.2, "end": 1668.34, "word": " و", "probability": 0.95654296875}, {"start": 1668.34, "end": 1669.16, "word": " الـsymmetry", "probability": 0.91181640625}, {"start": 1669.16, "end": 1670.22, "word": " شكتين", "probability": 0.712646484375}, {"start": 1670.22, "end": 1670.82, "word": " يبقى", "probability": 0.871826171875}, {"start": 1670.82, "end": 1671.06, "word": " أنت", "probability": 0.82470703125}, {"start": 1671.06, "end": 1671.82, "word": " بتتقيد", "probability": 0.793212890625}, {"start": 1671.82, "end": 1672.3, "word": " بسيط", "probability": 0.9771728515625}, {"start": 1672.3, "end": 1672.98, "word": " السؤال", "probability": 0.9806315104166666}, {"start": 1672.98, "end": 1673.48, "word": " على", "probability": 0.9033203125}, {"start": 1673.48, "end": 1673.8, "word": " جدر", "probability": 0.9192708333333334}, {"start": 1673.8, "end": 1674.42, "word": " السؤال", "probability": 0.9928385416666666}, {"start": 1674.42, "end": 1675.06, "word": " بدها", "probability": 0.802490234375}, {"start": 1675.06, "end": 1675.56, "word": " تكون", "probability": 0.98974609375}, {"start": 1675.56, "end": 1676.52, "word": " الإجابة", "probability": 0.949462890625}, {"start": 1676.52, "end": 1677.64, "word": " طيب", "probability": 0.947265625}, {"start": 1677.64, "end": 1677.92, "word": " أنا", "probability": 0.5283203125}, {"start": 1677.92, "end": 1678.18, "word": " بدي", "probability": 0.4830322265625}, {"start": 1678.18, "end": 1678.42, "word": " أحط", "probability": 0.9309895833333334}, {"start": 1678.42, "end": 1678.82, "word": " السؤال", "probability": 0.9734700520833334}, {"start": 1678.82, "end": 1679.04, "word": " من", "probability": 0.982421875}, {"start": 1679.04, "end": 1679.48, "word": " عندي", "probability": 0.7041015625}, {"start": 1679.48, "end": 1680.18, "word": " ها", "probability": 0.3839111328125}, {"start": 1680.18, "end": 1680.44, "word": " أنا", "probability": 0.489013671875}, {"start": 1680.44, "end": 1680.86, "word": " وياك", "probability": 0.9207356770833334}, {"start": 1680.86, "end": 1680.96, "word": " و", "probability": 0.9267578125}, {"start": 1680.96, "end": 1681.7, "word": " نتناقش", "probability": 0.95546875}, {"start": 1681.7, "end": 1682.48, "word": " إنيات", "probability": 0.6435546875}, {"start": 1682.48, "end": 1683.08, "word": " من", "probability": 0.99169921875}, {"start": 1683.08, "end": 1684.76, "word": " الرسومات", "probability": 0.8719482421875}, {"start": 1684.76, "end": 1684.96, "word": " اللي", "probability": 0.943359375}, {"start": 1684.96, "end": 1685.34, "word": " عندي", "probability": 0.904052734375}], "temperature": 1.0}, {"id": 74, "seek": 171167, "start": 1685.73, "end": 1711.67, "text": "لو جاء تجانب سؤال في الامتحان قال لي ارسم للمنحنة R يساوي مثلا اربع زائد ثلاثة فصين الزاوية يبقى هذا A زائد B بدأ اخد A على B A على B بده يساوي اربع على تلاتة", "tokens": [1211, 2407, 10874, 16606, 6055, 7435, 7649, 3555, 8608, 33604, 6027, 8978, 2423, 10943, 2655, 5016, 7649, 50239, 32239, 1975, 2288, 38251, 5296, 19528, 1863, 5016, 1863, 3660, 497, 7251, 3794, 995, 45865, 50113, 15040, 1975, 25513, 3615, 30767, 16373, 3215, 38637, 1211, 5718, 104, 3660, 6156, 9381, 9957, 6024, 110, 995, 2407, 10632, 7251, 3555, 4587, 7578, 23758, 316, 30767, 16373, 3215, 363, 47525, 10721, 1975, 9778, 3215, 316, 15844, 363, 316, 15844, 363, 47525, 3224, 7251, 3794, 995, 45865, 1975, 25513, 3615, 15844, 6055, 1211, 9307, 3660], "avg_logprob": -0.2493055697944429, "compression_ratio": 1.7452229299363058, "no_speech_prob": 0.0, "words": [{"start": 1685.73, "end": 1686.19, "word": "لو", "probability": 0.776611328125}, {"start": 1686.19, "end": 1686.37, "word": " جاء", "probability": 0.6240234375}, {"start": 1686.37, "end": 1686.87, "word": " تجانب", "probability": 0.750732421875}, {"start": 1686.87, "end": 1687.31, "word": " سؤال", "probability": 0.8434244791666666}, {"start": 1687.31, "end": 1687.47, "word": " في", "probability": 0.93701171875}, {"start": 1687.47, "end": 1688.23, "word": " الامتحان", "probability": 0.9544921875}, {"start": 1688.23, "end": 1688.99, "word": " قال", "probability": 0.78759765625}, {"start": 1688.99, "end": 1689.15, "word": " لي", "probability": 0.33642578125}, {"start": 1689.15, "end": 1689.65, "word": " ارسم", "probability": 0.8396809895833334}, {"start": 1689.65, "end": 1690.81, "word": " للمنحنة", "probability": 0.8163248697916666}, {"start": 1690.81, "end": 1691.39, "word": " R", "probability": 0.7021484375}, {"start": 1691.39, "end": 1692.69, "word": " يساوي", "probability": 0.9049072265625}, {"start": 1692.69, "end": 1693.49, "word": " مثلا", "probability": 0.88525390625}, {"start": 1693.49, "end": 1694.51, "word": " اربع", "probability": 0.746337890625}, {"start": 1694.51, "end": 1695.55, "word": " زائد", "probability": 0.8738606770833334}, {"start": 1695.55, "end": 1696.81, "word": " ثلاثة", "probability": 0.838232421875}, {"start": 1696.81, "end": 1697.39, "word": " فصين", "probability": 0.8108723958333334}, {"start": 1697.39, "end": 1697.95, "word": " الزاوية", "probability": 0.844970703125}, {"start": 1697.95, "end": 1701.97, "word": " يبقى", "probability": 0.9075927734375}, {"start": 1701.97, "end": 1702.33, "word": " هذا", "probability": 0.5771484375}, {"start": 1702.33, "end": 1702.87, "word": " A", "probability": 0.5087890625}, {"start": 1702.87, "end": 1703.93, "word": " زائد", "probability": 0.8782552083333334}, {"start": 1703.93, "end": 1704.07, "word": " B", "probability": 0.93701171875}, {"start": 1704.07, "end": 1704.41, "word": " بدأ", "probability": 0.21844482421875}, {"start": 1704.41, "end": 1704.77, "word": " اخد", "probability": 0.6754557291666666}, {"start": 1704.77, "end": 1705.05, "word": " A", "probability": 0.8876953125}, {"start": 1705.05, "end": 1705.29, "word": " على", "probability": 0.708984375}, {"start": 1705.29, "end": 1705.61, "word": " B", "probability": 0.96142578125}, {"start": 1705.61, "end": 1706.73, "word": " A", "probability": 0.541015625}, {"start": 1706.73, "end": 1707.71, "word": " على", "probability": 0.82958984375}, {"start": 1707.71, "end": 1708.35, "word": " B", "probability": 0.97802734375}, {"start": 1708.35, "end": 1709.07, "word": " بده", "probability": 0.808349609375}, {"start": 1709.07, "end": 1709.63, "word": " يساوي", "probability": 0.984130859375}, {"start": 1709.63, "end": 1710.69, "word": " اربع", "probability": 0.81884765625}, {"start": 1710.69, "end": 1711.03, "word": " على", "probability": 0.857421875}, {"start": 1711.03, "end": 1711.67, "word": " تلاتة", "probability": 0.9058837890625}], "temperature": 1.0}, {"id": 75, "seek": 174111, "start": 1712.37, "end": 1741.11, "text": "أربعة على تلاتة يعني واحد و تلت أكبر من واحد و أقل من منين؟ من اتنين أكبر من واحد و أقل من اتنين ههه اللي هو هذي صحيح ولا لا؟ الان يبقى واحدة من الرسومات الأربعة باجي بطلة المثل عندنا مطاردة من الاتنين يبقى هذه رسمتين راحوا ضلتين تين هذول باجي بطلة ليه شرم الزاد؟ يبقى هذه", "tokens": [10721, 25513, 27884, 15844, 6055, 1211, 9307, 3660, 37495, 22653, 36764, 24401, 4032, 6055, 1211, 2655, 5551, 4117, 26890, 9154, 36764, 24401, 4032, 5551, 4587, 1211, 9154, 9154, 9957, 22807, 9154, 1975, 2655, 1863, 9957, 5551, 4117, 26890, 9154, 36764, 24401, 4032, 5551, 4587, 1211, 9154, 1975, 2655, 1863, 9957, 8032, 3224, 3224, 13672, 1829, 31439, 8032, 8848, 1829, 20328, 5016, 1829, 5016, 49429, 20193, 22807, 2423, 7649, 7251, 3555, 4587, 7578, 36764, 24401, 3660, 9154, 34892, 3794, 20498, 9307, 16247, 25513, 27884, 4724, 26108, 1829, 4724, 9566, 37977, 9673, 12984, 1211, 43242, 8315, 3714, 9566, 9640, 41891, 9154, 2423, 9307, 1863, 9957, 7251, 3555, 4587, 7578, 29538, 12602, 38251, 2655, 9957, 12602, 39319, 14407, 48812, 1211, 2655, 9957, 6055, 9957, 8032, 8848, 12610, 4724, 26108, 1829, 4724, 9566, 37977, 32239, 3224, 13412, 2288, 2304, 6024, 110, 18513, 22807, 7251, 3555, 4587, 7578, 29538], "avg_logprob": -0.27866380296904464, "compression_ratio": 2.269767441860465, "no_speech_prob": 0.0, "words": [{"start": 1712.37, "end": 1712.87, "word": "أربعة", "probability": 0.6290690104166666}, {"start": 1712.87, "end": 1713.03, "word": " على", "probability": 0.626953125}, {"start": 1713.03, "end": 1713.47, "word": " تلاتة", "probability": 0.8944091796875}, {"start": 1713.47, "end": 1713.73, "word": " يعني", "probability": 0.93505859375}, {"start": 1713.73, "end": 1714.15, "word": " واحد", "probability": 0.975341796875}, {"start": 1714.15, "end": 1714.31, "word": " و", "probability": 0.7509765625}, {"start": 1714.31, "end": 1714.73, "word": " تلت", "probability": 0.767822265625}, {"start": 1714.73, "end": 1715.57, "word": " أكبر", "probability": 0.8313802083333334}, {"start": 1715.57, "end": 1715.79, "word": " من", "probability": 0.990234375}, {"start": 1715.79, "end": 1716.35, "word": " واحد", "probability": 0.9951171875}, {"start": 1716.35, "end": 1716.75, "word": " و", "probability": 0.3974609375}, {"start": 1716.75, "end": 1717.19, "word": " أقل", "probability": 0.9261067708333334}, {"start": 1717.19, "end": 1717.39, "word": " من", "probability": 0.99462890625}, {"start": 1717.39, "end": 1717.85, "word": " منين؟", "probability": 0.4921875}, {"start": 1717.85, "end": 1718.37, "word": " من", "probability": 0.90771484375}, {"start": 1718.37, "end": 1718.95, "word": " اتنين", "probability": 0.8726806640625}, {"start": 1718.95, "end": 1720.05, "word": " أكبر", "probability": 0.8424479166666666}, {"start": 1720.05, "end": 1720.25, "word": " من", "probability": 0.994140625}, {"start": 1720.25, "end": 1720.67, "word": " واحد", "probability": 0.99755859375}, {"start": 1720.67, "end": 1720.89, "word": " و", "probability": 0.814453125}, {"start": 1720.89, "end": 1721.37, "word": " أقل", "probability": 0.9065755208333334}, {"start": 1721.37, "end": 1721.67, "word": " من", "probability": 0.9970703125}, {"start": 1721.67, "end": 1722.51, "word": " اتنين", "probability": 0.9886474609375}, {"start": 1722.51, "end": 1723.55, "word": " ههه", "probability": 0.3636474609375}, {"start": 1723.55, "end": 1723.79, "word": " اللي", "probability": 0.629638671875}, {"start": 1723.79, "end": 1724.03, "word": " هو", "probability": 0.80810546875}, {"start": 1724.03, "end": 1724.69, "word": " هذي", "probability": 0.5747884114583334}, {"start": 1724.69, "end": 1725.35, "word": " صحيح", "probability": 0.9815673828125}, {"start": 1725.35, "end": 1725.51, "word": " ولا", "probability": 0.82666015625}, {"start": 1725.51, "end": 1726.31, "word": " لا؟", "probability": 0.694580078125}, {"start": 1726.31, "end": 1726.77, "word": " الان", "probability": 0.5838623046875}, {"start": 1726.77, "end": 1727.09, "word": " يبقى", "probability": 0.968017578125}, {"start": 1727.09, "end": 1727.51, "word": " واحدة", "probability": 0.9913736979166666}, {"start": 1727.51, "end": 1727.69, "word": " من", "probability": 0.990234375}, {"start": 1727.69, "end": 1728.49, "word": " الرسومات", "probability": 0.8839111328125}, {"start": 1728.49, "end": 1729.19, "word": " الأربعة", "probability": 0.9319661458333334}, {"start": 1729.19, "end": 1729.71, "word": " باجي", "probability": 0.8854166666666666}, {"start": 1729.71, "end": 1730.33, "word": " بطلة", "probability": 0.7799479166666666}, {"start": 1730.33, "end": 1731.39, "word": " المثل", "probability": 0.8974609375}, {"start": 1731.39, "end": 1731.75, "word": " عندنا", "probability": 0.5152587890625}, {"start": 1731.75, "end": 1732.25, "word": " مطاردة", "probability": 0.65948486328125}, {"start": 1732.25, "end": 1732.45, "word": " من", "probability": 0.74658203125}, {"start": 1732.45, "end": 1733.01, "word": " الاتنين", "probability": 0.705810546875}, {"start": 1733.01, "end": 1734.13, "word": " يبقى", "probability": 0.94921875}, {"start": 1734.13, "end": 1734.33, "word": " هذه", "probability": 0.53271484375}, {"start": 1734.33, "end": 1735.09, "word": " رسمتين", "probability": 0.70037841796875}, {"start": 1735.09, "end": 1735.51, "word": " راحوا", "probability": 0.9078776041666666}, {"start": 1735.51, "end": 1736.15, "word": " ضلتين", "probability": 0.55810546875}, {"start": 1736.15, "end": 1736.39, "word": " تين", "probability": 0.71923828125}, {"start": 1736.39, "end": 1736.81, "word": " هذول", "probability": 0.68359375}, {"start": 1736.81, "end": 1738.05, "word": " باجي", "probability": 0.9381510416666666}, {"start": 1738.05, "end": 1738.53, "word": " بطلة", "probability": 0.9674479166666666}, {"start": 1738.53, "end": 1738.85, "word": " ليه", "probability": 0.55328369140625}, {"start": 1738.85, "end": 1739.27, "word": " شرم", "probability": 0.5779622395833334}, {"start": 1739.27, "end": 1740.29, "word": " الزاد؟", "probability": 0.76055908203125}, {"start": 1740.29, "end": 1740.75, "word": " يبقى", "probability": 0.9884033203125}, {"start": 1740.75, "end": 1741.11, "word": " هذه", "probability": 0.9013671875}], "temperature": 1.0}, {"id": 76, "seek": 177096, "start": 1741.84, "end": 1770.96, "text": "تمام؟ يبقى هي الرسمة عندك، لو كانت الإشارة بالنقص يبقى هذه، لو بدل ال sign cosine يبقى الأولى، لو كان cosine او سالي بكبامين، التانية و هكذا، يبقى من خلال المعادلة بقدر لحالي أستنتج ما هي شكل الرسمة، دي بالك هدول ممكن تلاقي كل واحد فيه معبرة عن سؤال في الكتاب أو على الأقل عشر أسئلة من أسط الكتاب هيها قدامك على اللوح، تمام؟", "tokens": [39237, 10943, 22807, 7251, 3555, 4587, 7578, 39896, 34892, 38251, 3660, 43242, 4117, 12399, 45164, 25961, 2655, 33688, 8592, 9640, 3660, 20666, 1863, 4587, 9381, 7251, 3555, 4587, 7578, 29538, 12399, 45164, 47525, 1211, 2423, 1465, 23565, 7251, 3555, 4587, 7578, 16247, 12610, 7578, 12399, 45164, 25961, 23565, 1975, 2407, 8608, 6027, 1829, 4724, 4117, 3555, 10943, 9957, 12399, 16712, 7649, 10632, 4032, 8032, 4117, 15730, 12399, 7251, 3555, 4587, 7578, 9154, 16490, 1211, 6027, 9673, 3615, 18513, 37977, 4724, 28543, 2288, 5296, 5016, 6027, 1829, 5551, 14851, 29399, 7435, 19446, 39896, 13412, 28820, 34892, 38251, 3660, 12399, 11778, 1829, 20666, 4117, 8032, 3215, 12610, 3714, 43020, 6055, 15040, 38436, 28242, 36764, 24401, 8978, 3224, 20449, 3555, 25720, 18871, 8608, 33604, 6027, 8978, 33251, 2655, 16758, 34051, 15844, 16247, 4587, 1211, 6225, 46309, 5551, 3794, 19986, 37977, 9154, 5551, 3794, 9566, 2423, 4117, 2655, 16758, 39896, 11296, 12174, 3215, 10943, 4117, 15844, 13672, 2407, 5016, 12399, 46811, 10943, 22807], "avg_logprob": -0.2423828079365194, "compression_ratio": 1.9688581314878892, "no_speech_prob": 0.0, "words": [{"start": 1741.84, "end": 1742.32, "word": "تمام؟", "probability": 0.5491536458333334}, {"start": 1742.32, "end": 1742.52, "word": " يبقى", "probability": 0.88427734375}, {"start": 1742.52, "end": 1742.7, "word": " هي", "probability": 0.56201171875}, {"start": 1742.7, "end": 1743.24, "word": " الرسمة", "probability": 0.8025716145833334}, {"start": 1743.24, "end": 1743.94, "word": " عندك،", "probability": 0.5352376302083334}, {"start": 1743.94, "end": 1744.32, "word": " لو", "probability": 0.9072265625}, {"start": 1744.32, "end": 1744.7, "word": " كانت", "probability": 0.880859375}, {"start": 1744.7, "end": 1745.22, "word": " الإشارة", "probability": 0.958251953125}, {"start": 1745.22, "end": 1745.98, "word": " بالنقص", "probability": 0.8526611328125}, {"start": 1745.98, "end": 1746.44, "word": " يبقى", "probability": 0.85491943359375}, {"start": 1746.44, "end": 1747.28, "word": " هذه،", "probability": 0.772705078125}, {"start": 1747.28, "end": 1747.6, "word": " لو", "probability": 0.96923828125}, {"start": 1747.6, "end": 1747.96, "word": " بدل", "probability": 0.95166015625}, {"start": 1747.96, "end": 1748.16, "word": " ال", "probability": 0.810546875}, {"start": 1748.16, "end": 1748.44, "word": " sign", "probability": 0.38818359375}, {"start": 1748.44, "end": 1748.92, "word": " cosine", "probability": 0.286865234375}, {"start": 1748.92, "end": 1749.6, "word": " يبقى", "probability": 0.987060546875}, {"start": 1749.6, "end": 1750.5, "word": " الأولى،", "probability": 0.9476318359375}, {"start": 1750.5, "end": 1750.8, "word": " لو", "probability": 0.98388671875}, {"start": 1750.8, "end": 1751.1, "word": " كان", "probability": 0.986328125}, {"start": 1751.1, "end": 1751.64, "word": " cosine", "probability": 0.6015625}, {"start": 1751.64, "end": 1751.88, "word": " او", "probability": 0.52215576171875}, {"start": 1751.88, "end": 1752.22, "word": " سالي", "probability": 0.57275390625}, {"start": 1752.22, "end": 1753.12, "word": " بكبامين،", "probability": 0.6649576822916666}, {"start": 1753.12, "end": 1753.74, "word": " التانية", "probability": 0.7765299479166666}, {"start": 1753.74, "end": 1753.9, "word": " و", "probability": 0.544921875}, {"start": 1753.9, "end": 1755.04, "word": " هكذا،", "probability": 0.815673828125}, {"start": 1755.04, "end": 1755.4, "word": " يبقى", "probability": 0.9884033203125}, {"start": 1755.4, "end": 1755.6, "word": " من", "probability": 0.990234375}, {"start": 1755.6, "end": 1756.0, "word": " خلال", "probability": 0.9947916666666666}, {"start": 1756.0, "end": 1756.54, "word": " المعادلة", "probability": 0.9844970703125}, {"start": 1756.54, "end": 1757.1, "word": " بقدر", "probability": 0.79443359375}, {"start": 1757.1, "end": 1757.66, "word": " لحالي", "probability": 0.9539794921875}, {"start": 1757.66, "end": 1758.3, "word": " أستنتج", "probability": 0.887939453125}, {"start": 1758.3, "end": 1758.92, "word": " ما", "probability": 0.94189453125}, {"start": 1758.92, "end": 1759.26, "word": " هي", "probability": 0.88671875}, {"start": 1759.26, "end": 1759.82, "word": " شكل", "probability": 0.987060546875}, {"start": 1759.82, "end": 1761.06, "word": " الرسمة،", "probability": 0.926513671875}, {"start": 1761.06, "end": 1761.16, "word": " دي", "probability": 0.70361328125}, {"start": 1761.16, "end": 1761.58, "word": " بالك", "probability": 0.68505859375}, {"start": 1761.58, "end": 1761.86, "word": " هدول", "probability": 0.8834635416666666}, {"start": 1761.86, "end": 1762.12, "word": " ممكن", "probability": 0.760009765625}, {"start": 1762.12, "end": 1762.42, "word": " تلاقي", "probability": 0.95947265625}, {"start": 1762.42, "end": 1762.74, "word": " كل", "probability": 0.82275390625}, {"start": 1762.74, "end": 1763.0, "word": " واحد", "probability": 0.98974609375}, {"start": 1763.0, "end": 1763.24, "word": " فيه", "probability": 0.52490234375}, {"start": 1763.24, "end": 1763.6, "word": " معبرة", "probability": 0.426513671875}, {"start": 1763.6, "end": 1763.82, "word": " عن", "probability": 0.99072265625}, {"start": 1763.82, "end": 1764.08, "word": " سؤال", "probability": 0.9189453125}, {"start": 1764.08, "end": 1764.2, "word": " في", "probability": 0.94873046875}, {"start": 1764.2, "end": 1764.66, "word": " الكتاب", "probability": 0.9798177083333334}, {"start": 1764.66, "end": 1765.28, "word": " أو", "probability": 0.5595703125}, {"start": 1765.28, "end": 1765.5, "word": " على", "probability": 0.96923828125}, {"start": 1765.5, "end": 1765.94, "word": " الأقل", "probability": 0.7430419921875}, {"start": 1765.94, "end": 1766.8, "word": " عشر", "probability": 0.97119140625}, {"start": 1766.8, "end": 1767.36, "word": " أسئلة", "probability": 0.9820556640625}, {"start": 1767.36, "end": 1767.6, "word": " من", "probability": 0.9853515625}, {"start": 1767.6, "end": 1767.98, "word": " أسط", "probability": 0.8269856770833334}, {"start": 1767.98, "end": 1768.5, "word": " الكتاب", "probability": 0.78814697265625}, {"start": 1768.5, "end": 1769.14, "word": " هيها", "probability": 0.76220703125}, {"start": 1769.14, "end": 1769.64, "word": " قدامك", "probability": 0.969970703125}, {"start": 1769.64, "end": 1769.82, "word": " على", "probability": 0.9404296875}, {"start": 1769.82, "end": 1770.38, "word": " اللوح،", "probability": 0.7276611328125}, {"start": 1770.38, "end": 1770.96, "word": " تمام؟", "probability": 0.9827473958333334}], "temperature": 1.0}, {"id": 77, "seek": 178100, "start": 1772.8, "end": 1781.0, "text": "حد اللي هو يتسوّل قبل أن نذهب إلى رسمة أخرى اسمها 111", "tokens": [5016, 3215, 13672, 1829, 31439, 7251, 2655, 3794, 2407, 11703, 1211, 12174, 36150, 14739, 8717, 24192, 3555, 30731, 12602, 38251, 3660, 5551, 34740, 7578, 24525, 2304, 11296, 2975, 16], "avg_logprob": -0.4049479146798452, "compression_ratio": 1.108433734939759, "no_speech_prob": 0.0, "words": [{"start": 1772.8, "end": 1773.14, "word": "حد", "probability": 0.3212890625}, {"start": 1773.14, "end": 1773.28, "word": " اللي", "probability": 0.555908203125}, {"start": 1773.28, "end": 1773.4, "word": " هو", "probability": 0.744140625}, {"start": 1773.4, "end": 1773.9, "word": " يتسوّل", "probability": 0.8203125}, {"start": 1773.9, "end": 1774.3, "word": " قبل", "probability": 0.9833984375}, {"start": 1774.3, "end": 1774.5, "word": " أن", "probability": 0.84912109375}, {"start": 1774.5, "end": 1775.18, "word": " نذهب", "probability": 0.9833984375}, {"start": 1775.18, "end": 1775.58, "word": " إلى", "probability": 0.73291015625}, {"start": 1775.58, "end": 1776.14, "word": " رسمة", "probability": 0.9222005208333334}, {"start": 1776.14, "end": 1777.52, "word": " أخرى", "probability": 0.9454752604166666}, {"start": 1777.52, "end": 1780.12, "word": " اسمها", "probability": 0.7454427083333334}, {"start": 1780.12, "end": 1781.0, "word": " 111", "probability": 0.2557373046875}], "temperature": 1.0}, {"id": 78, "seek": 180729, "start": 1784.37, "end": 1807.29, "text": "قلت لك قبل قليل قلت لك حسب نص السؤال اذا قالت لك نمرأي اتكلم عن سيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري ا", "tokens": [4587, 1211, 2655, 5296, 4117, 12174, 36150, 12174, 20292, 1211, 12174, 1211, 2655, 5296, 4117, 11331, 35457, 8717, 9381, 21136, 33604, 6027, 1975, 15730, 50239, 2655, 5296, 4117, 8717, 29973, 10721, 1829, 1975, 2655, 4117, 19528, 18871, 8608, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975, 15730, 50239, 2655, 5296, 4117, 6055, 3794, 45865, 21136, 32640, 2655, 16572, 1975], "avg_logprob": -0.2061111111111111, "compression_ratio": 7.2110091743119265, "no_speech_prob": 0.0, "words": [{"start": 1784.3700000000001, "end": 1785.13, "word": "قلت", "probability": 0.58660888671875}, {"start": 1785.13, "end": 1785.57, "word": " لك", "probability": 0.6795654296875}, {"start": 1785.57, "end": 1785.91, "word": " قبل", "probability": 0.7178955078125}, {"start": 1785.91, "end": 1786.73, "word": " قليل", "probability": 0.87109375}, {"start": 1786.73, "end": 1787.21, "word": " قلت", "probability": 0.5319620768229166}, {"start": 1787.21, "end": 1787.39, "word": " لك", "probability": 0.934814453125}, {"start": 1787.39, "end": 1787.87, "word": " حسب", "probability": 0.91259765625}, {"start": 1787.87, "end": 1788.27, "word": " نص", "probability": 0.950927734375}, {"start": 1788.27, "end": 1788.89, "word": " السؤال", "probability": 0.9921875}, {"start": 1788.89, "end": 1789.55, "word": " اذا", "probability": 0.5733642578125}, {"start": 1789.55, "end": 1789.91, "word": " قالت", "probability": 0.629638671875}, {"start": 1789.91, "end": 1789.93, "word": " لك", "probability": 0.87939453125}, {"start": 1789.93, "end": 1790.43, "word": " نمرأي", "probability": 0.6798095703125}, {"start": 1790.43, "end": 1791.05, "word": " اتكلم", "probability": 0.54852294921875}, {"start": 1791.05, "end": 1791.27, "word": " عن", "probability": 0.845703125}, {"start": 1791.27, "end": 1791.85, "word": " سيمتري", "probability": 0.53912353515625}, {"start": 1791.85, "end": 1792.13, "word": " اذا", "probability": 0.185882568359375}, {"start": 1792.13, "end": 1792.13, "word": " قالت", "probability": 0.6048583984375}, {"start": 1792.13, "end": 1792.13, "word": " لك", "probability": 0.657958984375}, {"start": 1792.13, "end": 1792.59, "word": " تسوي", "probability": 0.581787109375}, {"start": 1792.59, "end": 1793.37, "word": " السيمتري", "probability": 0.9451904296875}, {"start": 1793.37, "end": 1793.97, "word": " اذا", "probability": 0.5643310546875}, {"start": 1793.97, "end": 1794.27, "word": " قالت", "probability": 0.864013671875}, {"start": 1794.27, "end": 1794.67, "word": " لك", "probability": 0.64599609375}, {"start": 1794.67, "end": 1795.05, "word": " تسوي", "probability": 0.3905436197916667}, {"start": 1795.05, "end": 1795.05, "word": " السيمتري", "probability": 0.82281494140625}, {"start": 1795.05, "end": 1795.05, "word": " اذا", "probability": 0.6473388671875}, {"start": 1795.05, "end": 1795.05, "word": " قالت", "probability": 0.833740234375}, {"start": 1795.05, "end": 1795.05, "word": " لك", "probability": 0.92626953125}, {"start": 1795.05, "end": 1795.05, "word": " تسوي", "probability": 0.7395833333333334}, {"start": 1795.05, "end": 1795.05, "word": " السيمتري", "probability": 0.88720703125}, {"start": 1795.05, "end": 1795.05, "word": " اذا", "probability": 0.6986083984375}, {"start": 1795.05, "end": 1795.05, "word": " قالت", "probability": 0.831787109375}, {"start": 1795.05, "end": 1795.05, "word": " لك", "probability": 0.961181640625}, {"start": 1795.05, "end": 1795.05, "word": " تسوي", "probability": 0.8116861979166666}, {"start": 1795.05, "end": 1795.09, "word": " السيمتري", "probability": 0.92919921875}, {"start": 1795.09, "end": 1795.47, "word": " اذا", "probability": 0.71337890625}, {"start": 1795.47, "end": 1795.47, "word": " قالت", "probability": 0.9326171875}, {"start": 1795.47, "end": 1795.47, "word": " لك", "probability": 0.97412109375}, {"start": 1795.47, "end": 1795.47, "word": " تسوي", "probability": 0.8487955729166666}, {"start": 1795.47, "end": 1796.11, "word": " السيمتري", "probability": 0.966796875}, {"start": 1796.11, "end": 1796.65, "word": " اذا", "probability": 0.8056640625}, {"start": 1796.65, "end": 1796.93, "word": " قالت", "probability": 0.974853515625}, {"start": 1796.93, "end": 1796.93, "word": " لك", "probability": 0.983642578125}, {"start": 1796.93, "end": 1797.27, "word": " تسوي", "probability": 0.8995768229166666}, {"start": 1797.27, "end": 1798.07, "word": " السيمتري", "probability": 0.9791259765625}, {"start": 1798.07, "end": 1798.07, "word": " اذا", "probability": 0.9130859375}, {"start": 1798.07, "end": 1798.07, "word": " قالت", "probability": 0.986328125}, {"start": 1798.07, "end": 1798.07, "word": " لك", "probability": 0.9892578125}, {"start": 1798.07, "end": 1798.07, "word": " تسوي", "probability": 0.9241536458333334}, {"start": 1798.07, "end": 1798.09, "word": " السيمتري", "probability": 0.983154296875}, {"start": 1798.09, "end": 1798.21, "word": " اذا", "probability": 0.962158203125}, {"start": 1798.21, "end": 1798.49, "word": " قالت", "probability": 0.989013671875}, {"start": 1798.49, "end": 1798.49, "word": " لك", "probability": 0.991943359375}, {"start": 1798.49, "end": 1798.87, "word": " تسوي", "probability": 0.9239908854166666}, {"start": 1798.87, "end": 1799.53, "word": " السيمتري", "probability": 0.984375}, {"start": 1799.53, "end": 1800.03, "word": " اذا", "probability": 0.974609375}, {"start": 1800.03, "end": 1800.03, "word": " قالت", "probability": 0.9892578125}, {"start": 1800.03, "end": 1800.21, "word": " لك", "probability": 0.993896484375}, {"start": 1800.21, "end": 1800.21, "word": " تسوي", "probability": 0.9132486979166666}, {"start": 1800.21, "end": 1800.21, "word": " السيمتري", "probability": 0.98486328125}, {"start": 1800.21, "end": 1800.33, "word": " اذا", "probability": 0.97900390625}, {"start": 1800.33, "end": 1800.33, "word": " قالت", "probability": 0.98828125}, {"start": 1800.33, "end": 1800.33, "word": " لك", "probability": 0.994873046875}, {"start": 1800.33, "end": 1800.33, "word": " تسوي", "probability": 0.90478515625}, {"start": 1800.33, "end": 1800.33, "word": " السيمتري", "probability": 0.9853515625}, {"start": 1800.33, "end": 1800.63, "word": " اذا", "probability": 0.97900390625}, {"start": 1800.63, "end": 1800.97, "word": " قالت", "probability": 0.985595703125}, {"start": 1800.97, "end": 1801.09, "word": " لك", "probability": 0.995361328125}, {"start": 1801.09, "end": 1801.75, "word": " تسوي", "probability": 0.8966471354166666}, {"start": 1801.75, "end": 1802.37, "word": " السيمتري", "probability": 0.9847412109375}, {"start": 1802.37, "end": 1803.05, "word": " اذا", "probability": 0.978271484375}, {"start": 1803.05, "end": 1803.05, "word": " قالت", "probability": 0.982177734375}, {"start": 1803.05, "end": 1803.05, "word": " لك", "probability": 0.995361328125}, {"start": 1803.05, "end": 1803.05, "word": " تسوي", "probability": 0.8942057291666666}, {"start": 1803.05, "end": 1803.29, "word": " السيمتري", "probability": 0.9852294921875}, {"start": 1803.29, "end": 1803.49, "word": " اذا", "probability": 0.9765625}, {"start": 1803.49, "end": 1803.59, "word": " قالت", "probability": 0.976318359375}, {"start": 1803.59, "end": 1803.59, "word": " لك", "probability": 0.995361328125}, {"start": 1803.59, "end": 1803.91, "word": " تسوي", "probability": 0.88134765625}, {"start": 1803.91, "end": 1804.67, "word": " السيمتري", "probability": 0.9847412109375}, {"start": 1804.67, "end": 1804.95, "word": " اذا", "probability": 0.973876953125}, {"start": 1804.95, "end": 1804.99, "word": " قالت", "probability": 0.971435546875}, {"start": 1804.99, "end": 1805.17, "word": " لك", "probability": 0.9951171875}, {"start": 1805.17, "end": 1805.69, "word": " تسوي", "probability": 0.8771158854166666}, {"start": 1805.69, "end": 1806.83, "word": " السيمتري", "probability": 0.98388671875}, {"start": 1806.83, "end": 1807.29, "word": " ا", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 79, "seek": 183139, "start": 1807.31, "end": 1831.39, "text": "لكن إذا كنت من شكل المعادلة عرفتها الشيء، يبقى على طول الخاطر، ماعليك أن تعمل جد ولا ترسم؟ الرسمة. طبعا كل رسم من هذه الرسومات لها اسم. هذا صمنا الأول Limason و Inner Lobe. هذا اسمه شباب Cardoid، منحنى القلب. هذا اسمه Cardoid.", "tokens": [1211, 19452, 11933, 15730, 9122, 29399, 9154, 13412, 28820, 9673, 3615, 18513, 37977, 6225, 28480, 2655, 11296, 25124, 1829, 38207, 12399, 7251, 3555, 4587, 7578, 15844, 23032, 12610, 33962, 41193, 2288, 12399, 19446, 3615, 20292, 4117, 14739, 6055, 25957, 1211, 10874, 3215, 49429, 6055, 2288, 38251, 22807, 34892, 38251, 3660, 13, 23032, 3555, 3615, 995, 28242, 12602, 38251, 9154, 29538, 34892, 3794, 20498, 9307, 5296, 11296, 24525, 2304, 13, 23758, 20328, 2304, 8315, 16247, 12610, 16406, 1258, 4032, 36705, 6130, 650, 13, 23758, 24525, 2304, 3224, 13412, 3555, 16758, 11877, 17079, 12399, 9154, 5016, 1863, 7578, 25062, 46152, 13, 23758, 24525, 2304, 3224, 11877, 17079, 13], "avg_logprob": -0.2567172891625734, "compression_ratio": 1.6666666666666667, "no_speech_prob": 0.0, "words": [{"start": 1807.31, "end": 1807.71, "word": "لكن", "probability": 0.654052734375}, {"start": 1807.71, "end": 1807.87, "word": " إذا", "probability": 0.80078125}, {"start": 1807.87, "end": 1808.27, "word": " كنت", "probability": 0.985107421875}, {"start": 1808.27, "end": 1808.45, "word": " من", "probability": 0.9228515625}, {"start": 1808.45, "end": 1808.87, "word": " شكل", "probability": 0.942626953125}, {"start": 1808.87, "end": 1809.63, "word": " المعادلة", "probability": 0.9656982421875}, {"start": 1809.63, "end": 1810.45, "word": " عرفتها", "probability": 0.78857421875}, {"start": 1810.45, "end": 1811.19, "word": " الشيء،", "probability": 0.74267578125}, {"start": 1811.19, "end": 1811.75, "word": " يبقى", "probability": 0.890380859375}, {"start": 1811.75, "end": 1811.87, "word": " على", "probability": 0.95458984375}, {"start": 1811.87, "end": 1812.17, "word": " طول", "probability": 0.989013671875}, {"start": 1812.17, "end": 1813.01, "word": " الخاطر،", "probability": 0.60699462890625}, {"start": 1813.01, "end": 1813.47, "word": " ماعليك", "probability": 0.8218994140625}, {"start": 1813.47, "end": 1813.53, "word": " أن", "probability": 0.423095703125}, {"start": 1813.53, "end": 1813.87, "word": " تعمل", "probability": 0.8736979166666666}, {"start": 1813.87, "end": 1814.11, "word": " جد", "probability": 0.9306640625}, {"start": 1814.11, "end": 1814.23, "word": " ولا", "probability": 0.775390625}, {"start": 1814.23, "end": 1815.05, "word": " ترسم؟", "probability": 0.83544921875}, {"start": 1815.05, "end": 1815.69, "word": " الرسمة.", "probability": 0.7459309895833334}, {"start": 1816.63, "end": 1817.43, "word": " طبعا", "probability": 0.9674072265625}, {"start": 1817.43, "end": 1817.73, "word": " كل", "probability": 0.935546875}, {"start": 1817.73, "end": 1818.11, "word": " رسم", "probability": 0.938720703125}, {"start": 1818.11, "end": 1818.27, "word": " من", "probability": 0.81884765625}, {"start": 1818.27, "end": 1818.49, "word": " هذه", "probability": 0.95947265625}, {"start": 1818.49, "end": 1819.33, "word": " الرسومات", "probability": 0.8963623046875}, {"start": 1819.33, "end": 1819.83, "word": " لها", "probability": 0.6522216796875}, {"start": 1819.83, "end": 1820.37, "word": " اسم.", "probability": 0.860595703125}, {"start": 1820.71, "end": 1821.01, "word": " هذا", "probability": 0.9716796875}, {"start": 1821.01, "end": 1821.51, "word": " صمنا", "probability": 0.7399088541666666}, {"start": 1821.51, "end": 1822.07, "word": " الأول", "probability": 0.9658203125}, {"start": 1822.07, "end": 1822.71, "word": " Limason", "probability": 0.29730224609375}, {"start": 1822.71, "end": 1822.89, "word": " و", "probability": 0.400146484375}, {"start": 1822.89, "end": 1823.27, "word": " Inner", "probability": 0.35791015625}, {"start": 1823.27, "end": 1823.79, "word": " Lobe.", "probability": 0.716552734375}, {"start": 1824.15, "end": 1824.37, "word": " هذا", "probability": 0.94482421875}, {"start": 1824.37, "end": 1824.71, "word": " اسمه", "probability": 0.8927408854166666}, {"start": 1824.71, "end": 1825.03, "word": " شباب", "probability": 0.8312174479166666}, {"start": 1825.03, "end": 1826.99, "word": " Cardoid،", "probability": 0.4536946614583333}, {"start": 1826.99, "end": 1827.63, "word": " منحنى", "probability": 0.8480224609375}, {"start": 1827.63, "end": 1828.15, "word": " القلب.", "probability": 0.99365234375}, {"start": 1828.67, "end": 1829.03, "word": " هذا", "probability": 0.9375}, {"start": 1829.03, "end": 1829.97, "word": " اسمه", "probability": 0.97998046875}, {"start": 1829.97, "end": 1831.39, "word": " Cardoid.", "probability": 0.866455078125}], "temperature": 1.0}, {"id": 80, "seek": 186070, "start": 1835.76, "end": 1860.7, "text": "لوم انحنى القلب هذا بنسميه limson with a dent يعني بنطوق كتبتلك دنت هايو limson with a dent يعني بنحناه او انبعاد للداخل او نطوق للداخل هذا سميناه convex هذا بتكتب لك تحت", "tokens": [1211, 20498, 16472, 5016, 1863, 7578, 25062, 46152, 23758, 44945, 38251, 1829, 3224, 2364, 3015, 365, 257, 7059, 37495, 22653, 44945, 9566, 2407, 4587, 9122, 2655, 3555, 2655, 23275, 11778, 29399, 8032, 995, 1829, 2407, 2364, 3015, 365, 257, 7059, 37495, 22653, 44945, 5016, 8315, 3224, 1975, 2407, 16472, 3555, 3615, 18513, 24976, 3215, 47283, 1211, 1975, 2407, 8717, 9566, 2407, 4587, 24976, 3215, 47283, 1211, 23758, 8608, 2304, 1829, 8315, 3224, 42432, 23758, 39894, 4117, 2655, 3555, 5296, 4117, 6055, 33753], "avg_logprob": -0.33829067126814144, "compression_ratio": 1.7106918238993711, "no_speech_prob": 0.0, "words": [{"start": 1835.76, "end": 1836.16, "word": "لوم", "probability": 0.30096435546875}, {"start": 1836.16, "end": 1836.8, "word": " انحنى", "probability": 0.743408203125}, {"start": 1836.8, "end": 1838.26, "word": " القلب", "probability": 0.98583984375}, {"start": 1838.26, "end": 1840.7, "word": " هذا", "probability": 0.54052734375}, {"start": 1840.7, "end": 1841.52, "word": " بنسميه", "probability": 0.819091796875}, {"start": 1841.52, "end": 1842.2, "word": " limson", "probability": 0.400360107421875}, {"start": 1842.2, "end": 1843.08, "word": " with", "probability": 0.8603515625}, {"start": 1843.08, "end": 1843.68, "word": " a", "probability": 0.87158203125}, {"start": 1843.68, "end": 1844.36, "word": " dent", "probability": 0.9423828125}, {"start": 1844.36, "end": 1845.14, "word": " يعني", "probability": 0.71044921875}, {"start": 1845.14, "end": 1845.96, "word": " بنطوق", "probability": 0.59332275390625}, {"start": 1845.96, "end": 1847.02, "word": " كتبتلك", "probability": 0.93310546875}, {"start": 1847.02, "end": 1847.5, "word": " دنت", "probability": 0.505126953125}, {"start": 1847.5, "end": 1848.02, "word": " هايو", "probability": 0.5120849609375}, {"start": 1848.02, "end": 1848.42, "word": " limson", "probability": 0.77685546875}, {"start": 1848.42, "end": 1848.68, "word": " with", "probability": 0.93896484375}, {"start": 1848.68, "end": 1848.84, "word": " a", "probability": 0.9599609375}, {"start": 1848.84, "end": 1849.14, "word": " dent", "probability": 0.97021484375}, {"start": 1849.14, "end": 1849.82, "word": " يعني", "probability": 0.776123046875}, {"start": 1849.82, "end": 1853.0, "word": " بنحناه", "probability": 0.59747314453125}, {"start": 1853.0, "end": 1853.22, "word": " او", "probability": 0.7376708984375}, {"start": 1853.22, "end": 1853.82, "word": " انبعاد", "probability": 0.795654296875}, {"start": 1853.82, "end": 1854.38, "word": " للداخل", "probability": 0.85333251953125}, {"start": 1854.38, "end": 1854.64, "word": " او", "probability": 0.809814453125}, {"start": 1854.64, "end": 1855.04, "word": " نطوق", "probability": 0.889404296875}, {"start": 1855.04, "end": 1855.84, "word": " للداخل", "probability": 0.989990234375}, {"start": 1855.84, "end": 1856.46, "word": " هذا", "probability": 0.89013671875}, {"start": 1856.46, "end": 1857.36, "word": " سميناه", "probability": 0.77607421875}, {"start": 1857.36, "end": 1858.5, "word": " convex", "probability": 0.88720703125}, {"start": 1858.5, "end": 1859.52, "word": " هذا", "probability": 0.888671875}, {"start": 1859.52, "end": 1860.1, "word": " بتكتب", "probability": 0.8582763671875}, {"start": 1860.1, "end": 1860.36, "word": " لك", "probability": 0.5213623046875}, {"start": 1860.36, "end": 1860.7, "word": " تحت", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 81, "seek": 187499, "start": 1871.35, "end": 1874.99, "text": "بننتقل الآن إلى مثال آخر", "tokens": [3555, 1863, 29399, 4587, 1211, 6024, 48506, 30731, 50113, 6027, 19753, 34740], "avg_logprob": -0.5366586355062631, "compression_ratio": 0.8461538461538461, "no_speech_prob": 0.0, "words": [{"start": 1871.3500000000001, "end": 1872.63, "word": "بننتقل", "probability": 0.6073974609375}, {"start": 1872.63, "end": 1873.07, "word": " الآن", "probability": 0.6265869140625}, {"start": 1873.07, "end": 1873.39, "word": " إلى", "probability": 0.59130859375}, {"start": 1873.39, "end": 1874.03, "word": " مثال", "probability": 0.976806640625}, {"start": 1874.03, "end": 1874.99, "word": " آخر", "probability": 0.797119140625}], "temperature": 1.0}, {"id": 82, "seek": 191659, "start": 1903.83, "end": 1916.59, "text": "مثال رقم اتنين مثال رقم تلاتة لان المرة اللي فاز اخدنا مثال رقم واحد sketch", "tokens": [2304, 12984, 6027, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 50113, 6027, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 5296, 7649, 9673, 25720, 13672, 1829, 6156, 31377, 1975, 9778, 3215, 8315, 50113, 6027, 12602, 4587, 2304, 36764, 24401, 12325], "avg_logprob": -0.2244140613824129, "compression_ratio": 1.4444444444444444, "no_speech_prob": 0.0, "words": [{"start": 1903.83, "end": 1904.79, "word": "مثال", "probability": 0.9191080729166666}, {"start": 1904.79, "end": 1905.29, "word": " رقم", "probability": 0.9567057291666666}, {"start": 1905.29, "end": 1906.27, "word": " اتنين", "probability": 0.71685791015625}, {"start": 1906.27, "end": 1911.81, "word": " مثال", "probability": 0.88916015625}, {"start": 1911.81, "end": 1912.29, "word": " رقم", "probability": 0.9943033854166666}, {"start": 1912.29, "end": 1912.89, "word": " تلاتة", "probability": 0.9613037109375}, {"start": 1912.89, "end": 1913.05, "word": " لان", "probability": 0.6357421875}, {"start": 1913.05, "end": 1913.29, "word": " المرة", "probability": 0.795166015625}, {"start": 1913.29, "end": 1913.45, "word": " اللي", "probability": 0.828369140625}, {"start": 1913.45, "end": 1913.63, "word": " فاز", "probability": 0.763916015625}, {"start": 1913.63, "end": 1913.95, "word": " اخدنا", "probability": 0.7669677734375}, {"start": 1913.95, "end": 1914.23, "word": " مثال", "probability": 0.7578125}, {"start": 1914.23, "end": 1914.67, "word": " رقم", "probability": 0.9890950520833334}, {"start": 1914.67, "end": 1915.21, "word": " واحد", "probability": 0.984130859375}, {"start": 1915.21, "end": 1916.59, "word": " sketch", "probability": 0.6796875}], "temperature": 1.0}, {"id": 83, "seek": 194473, "start": 1921.89, "end": 1944.73, "text": "of the curves المنحنيات التالية نمرة A R ترابية يساوي اربعة كصين اتنين ثيتا", "tokens": [2670, 264, 19490, 9673, 1863, 5016, 22653, 9307, 16712, 6027, 10632, 8717, 2304, 25720, 316, 497, 6055, 2288, 16758, 10632, 7251, 3794, 995, 45865, 1975, 25513, 27884, 9122, 9381, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995], "avg_logprob": -0.33408716869981664, "compression_ratio": 1.1923076923076923, "no_speech_prob": 0.0, "words": [{"start": 1921.8899999999999, "end": 1923.29, "word": "of", "probability": 0.454833984375}, {"start": 1923.29, "end": 1924.69, "word": " the", "probability": 0.83935546875}, {"start": 1924.69, "end": 1925.61, "word": " curves", "probability": 0.95263671875}, {"start": 1925.61, "end": 1932.91, "word": " المنحنيات", "probability": 0.84052734375}, {"start": 1932.91, "end": 1933.73, "word": " التالية", "probability": 0.9899088541666666}, {"start": 1933.73, "end": 1936.15, "word": " نمرة", "probability": 0.4738362630208333}, {"start": 1936.15, "end": 1936.83, "word": " A", "probability": 0.5517578125}, {"start": 1936.83, "end": 1939.71, "word": " R", "probability": 0.55615234375}, {"start": 1939.71, "end": 1940.65, "word": " ترابية", "probability": 0.5897216796875}, {"start": 1940.65, "end": 1941.99, "word": " يساوي", "probability": 0.8402099609375}, {"start": 1941.99, "end": 1942.73, "word": " اربعة", "probability": 0.73828125}, {"start": 1942.73, "end": 1943.47, "word": " كصين", "probability": 0.64306640625}, {"start": 1943.47, "end": 1944.03, "word": " اتنين", "probability": 0.9776611328125}, {"start": 1944.03, "end": 1944.73, "word": " ثيتا", "probability": 0.7350260416666666}], "temperature": 1.0}, {"id": 84, "seek": 195929, "start": 1945.11, "end": 1959.29, "text": "نمر يا بي ارثر بيه يستوي اربع في كوسين اتنين ثتا هذا المنحنة اسمه منحنة لمنسكات", "tokens": [1863, 29973, 35186, 4724, 1829, 1975, 2288, 49115, 4724, 1829, 3224, 7251, 14851, 45865, 1975, 25513, 3615, 8978, 9122, 41779, 9957, 1975, 2655, 1863, 9957, 38637, 2655, 995, 23758, 9673, 1863, 5016, 1863, 3660, 24525, 2304, 3224, 9154, 5016, 1863, 3660, 32767, 1863, 3794, 4117, 9307], "avg_logprob": -0.41356382598268226, "compression_ratio": 1.4895833333333333, "no_speech_prob": 0.0, "words": [{"start": 1945.11, "end": 1945.61, "word": "نمر", "probability": 0.3841552734375}, {"start": 1945.61, "end": 1945.77, "word": " يا", "probability": 0.08636474609375}, {"start": 1945.77, "end": 1946.23, "word": " بي", "probability": 0.772705078125}, {"start": 1946.23, "end": 1947.15, "word": " ارثر", "probability": 0.635498046875}, {"start": 1947.15, "end": 1947.45, "word": " بيه", "probability": 0.7141927083333334}, {"start": 1947.45, "end": 1947.97, "word": " يستوي", "probability": 0.8680013020833334}, {"start": 1947.97, "end": 1948.85, "word": " اربع", "probability": 0.7415364583333334}, {"start": 1948.85, "end": 1949.37, "word": " في", "probability": 0.71044921875}, {"start": 1949.37, "end": 1950.45, "word": " كوسين", "probability": 0.5298665364583334}, {"start": 1950.45, "end": 1951.53, "word": " اتنين", "probability": 0.9593505859375}, {"start": 1951.53, "end": 1953.71, "word": " ثتا", "probability": 0.6630045572916666}, {"start": 1953.71, "end": 1956.79, "word": " هذا", "probability": 0.6201171875}, {"start": 1956.79, "end": 1957.37, "word": " المنحنة", "probability": 0.713818359375}, {"start": 1957.37, "end": 1957.73, "word": " اسمه", "probability": 0.8849283854166666}, {"start": 1957.73, "end": 1958.27, "word": " منحنة", "probability": 0.9566650390625}, {"start": 1958.27, "end": 1959.29, "word": " لمنسكات", "probability": 0.6262451171875}], "temperature": 1.0}, {"id": 85, "seek": 197748, "start": 1973.58, "end": 1977.48, "text": "شوف اسمه، اتهمنيش التسمة بهم المعادلة والشكل", "tokens": [8592, 38688, 24525, 2304, 3224, 12399, 1975, 2655, 16095, 22653, 8592, 16712, 38251, 3660, 4724, 16095, 9673, 3615, 18513, 37977, 16070, 8592, 28820], "avg_logprob": -0.4964192435145378, "compression_ratio": 1.1714285714285715, "no_speech_prob": 0.0, "words": [{"start": 1973.58, "end": 1973.98, "word": "شوف", "probability": 0.566650390625}, {"start": 1973.98, "end": 1974.62, "word": " اسمه،", "probability": 0.532379150390625}, {"start": 1974.62, "end": 1975.22, "word": " اتهمنيش", "probability": 0.7267333984375}, {"start": 1975.22, "end": 1975.8, "word": " التسمة", "probability": 0.574462890625}, {"start": 1975.8, "end": 1976.06, "word": " بهم", "probability": 0.3946533203125}, {"start": 1976.06, "end": 1976.72, "word": " المعادلة", "probability": 0.8779296875}, {"start": 1976.72, "end": 1977.48, "word": " والشكل", "probability": 0.9768880208333334}], "temperature": 1.0}, {"id": 86, "seek": 200726, "start": 1978.2, "end": 2007.26, "text": "يبقى solution و أول خطوة بنروح نعملها بدنا نبحث ال symmetry النقطة الأولى تبقى بدنا نشوف المنحنة متمثل بالنسبة لمحور x ولا لأ تبقى بنروح أشيل theta و أحط مكانها سالب theta يبقى أربع sign اتنين في سالب theta يبقى هذه أربع sign لسالب اتنين theta", "tokens": [1829, 3555, 4587, 7578, 3827, 4032, 5551, 12610, 16490, 9566, 2407, 3660, 4724, 1863, 32887, 5016, 8717, 25957, 1211, 11296, 47525, 8315, 8717, 49628, 12984, 2423, 25440, 28239, 47432, 3660, 16247, 12610, 7578, 6055, 3555, 4587, 7578, 47525, 8315, 8717, 8592, 38688, 9673, 1863, 5016, 1863, 3660, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 2031, 49429, 5296, 10721, 6055, 3555, 4587, 7578, 4724, 1863, 32887, 5016, 5551, 8592, 26895, 9725, 4032, 5551, 5016, 9566, 3714, 41361, 11296, 8608, 6027, 3555, 9725, 7251, 3555, 4587, 7578, 5551, 25513, 3615, 1465, 1975, 2655, 1863, 9957, 8978, 8608, 6027, 3555, 9725, 7251, 3555, 4587, 7578, 29538, 5551, 25513, 3615, 1465, 5296, 3794, 6027, 3555, 1975, 2655, 1863, 9957, 9725], "avg_logprob": -0.2161673524162986, "compression_ratio": 1.8333333333333333, "no_speech_prob": 0.0, "words": [{"start": 1978.2, "end": 1979.04, "word": "يبقى", "probability": 0.7984619140625}, {"start": 1979.04, "end": 1980.36, "word": " solution", "probability": 0.701171875}, {"start": 1980.36, "end": 1981.5, "word": " و", "probability": 0.386474609375}, {"start": 1981.5, "end": 1981.98, "word": " أول", "probability": 0.6417236328125}, {"start": 1981.98, "end": 1982.4, "word": " خطوة", "probability": 0.96923828125}, {"start": 1982.4, "end": 1982.82, "word": " بنروح", "probability": 0.51165771484375}, {"start": 1982.82, "end": 1983.58, "word": " نعملها", "probability": 0.9853515625}, {"start": 1983.58, "end": 1984.4, "word": " بدنا", "probability": 0.6085205078125}, {"start": 1984.4, "end": 1985.08, "word": " نبحث", "probability": 0.9884440104166666}, {"start": 1985.08, "end": 1985.64, "word": " ال", "probability": 0.61962890625}, {"start": 1985.64, "end": 1986.36, "word": " symmetry", "probability": 0.86669921875}, {"start": 1986.36, "end": 1987.34, "word": " النقطة", "probability": 0.9054361979166666}, {"start": 1987.34, "end": 1988.16, "word": " الأولى", "probability": 0.986328125}, {"start": 1988.16, "end": 1988.64, "word": " تبقى", "probability": 0.7696533203125}, {"start": 1988.64, "end": 1988.9, "word": " بدنا", "probability": 0.6378173828125}, {"start": 1988.9, "end": 1989.1, "word": " نشوف", "probability": 0.9059244791666666}, {"start": 1989.1, "end": 1989.76, "word": " المنحنة", "probability": 0.91611328125}, {"start": 1989.76, "end": 1990.36, "word": " متمثل", "probability": 0.9105224609375}, {"start": 1990.36, "end": 1990.8, "word": " بالنسبة", "probability": 0.81396484375}, {"start": 1990.8, "end": 1991.38, "word": " لمحور", "probability": 0.93359375}, {"start": 1991.38, "end": 1991.74, "word": " x", "probability": 0.48193359375}, {"start": 1991.74, "end": 1991.96, "word": " ولا", "probability": 0.8935546875}, {"start": 1991.96, "end": 1992.38, "word": " لأ", "probability": 0.770751953125}, {"start": 1992.38, "end": 1992.9, "word": " تبقى", "probability": 0.9095458984375}, {"start": 1992.9, "end": 1993.34, "word": " بنروح", "probability": 0.71307373046875}, {"start": 1993.34, "end": 1993.7, "word": " أشيل", "probability": 0.8902994791666666}, {"start": 1993.7, "end": 1994.04, "word": " theta", "probability": 0.33935546875}, {"start": 1994.04, "end": 1994.2, "word": " و", "probability": 0.923828125}, {"start": 1994.2, "end": 1994.46, "word": " أحط", "probability": 0.93212890625}, {"start": 1994.46, "end": 1995.16, "word": " مكانها", "probability": 0.9873046875}, {"start": 1995.16, "end": 1996.42, "word": " سالب", "probability": 0.798828125}, {"start": 1996.42, "end": 1996.92, "word": " theta", "probability": 0.71435546875}, {"start": 1996.92, "end": 1998.08, "word": " يبقى", "probability": 0.98291015625}, {"start": 1998.08, "end": 1998.74, "word": " أربع", "probability": 0.6873372395833334}, {"start": 1998.74, "end": 1999.42, "word": " sign", "probability": 0.63037109375}, {"start": 1999.42, "end": 2000.48, "word": " اتنين", "probability": 0.886962890625}, {"start": 2000.48, "end": 2000.78, "word": " في", "probability": 0.94580078125}, {"start": 2000.78, "end": 2001.44, "word": " سالب", "probability": 0.9791666666666666}, {"start": 2001.44, "end": 2001.9, "word": " theta", "probability": 0.7734375}, {"start": 2001.9, "end": 2002.92, "word": " يبقى", "probability": 0.9739990234375}, {"start": 2002.92, "end": 2003.3, "word": " هذه", "probability": 0.74853515625}, {"start": 2003.3, "end": 2004.18, "word": " أربع", "probability": 0.9264322916666666}, {"start": 2004.18, "end": 2005.02, "word": " sign", "probability": 0.9521484375}, {"start": 2005.02, "end": 2006.08, "word": " لسالب", "probability": 0.93701171875}, {"start": 2006.08, "end": 2006.84, "word": " اتنين", "probability": 0.97607421875}, {"start": 2006.84, "end": 2007.26, "word": " theta", "probability": 0.362060546875}], "temperature": 1.0}, {"id": 87, "seek": 202625, "start": 2009.71, "end": 2026.25, "text": "يبقى الصالب برا يبقى الصالب اربع صين اتنين ثيتا يعني صالب R تربيع يعني ماسواتش R تربيع يبقى لا تساوي R تربيع", "tokens": [1829, 3555, 4587, 7578, 31767, 6027, 3555, 4724, 23557, 7251, 3555, 4587, 7578, 31767, 6027, 3555, 1975, 25513, 3615, 20328, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 37495, 22653, 20328, 6027, 3555, 497, 6055, 2288, 21292, 3615, 37495, 22653, 19446, 3794, 2407, 9307, 8592, 497, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 20193, 6055, 3794, 995, 45865, 497, 6055, 2288, 21292, 3615], "avg_logprob": -0.34759615384615383, "compression_ratio": 1.8823529411764706, "no_speech_prob": 0.0, "words": [{"start": 2009.7099999999998, "end": 2011.11, "word": "يبقى", "probability": 0.738525390625}, {"start": 2011.11, "end": 2011.61, "word": " الصالب", "probability": 0.590087890625}, {"start": 2011.61, "end": 2012.03, "word": " برا", "probability": 0.5545654296875}, {"start": 2012.03, "end": 2012.53, "word": " يبقى", "probability": 0.689666748046875}, {"start": 2012.53, "end": 2012.95, "word": " الصالب", "probability": 0.6788330078125}, {"start": 2012.95, "end": 2013.65, "word": " اربع", "probability": 0.6424153645833334}, {"start": 2013.65, "end": 2014.51, "word": " صين", "probability": 0.7388916015625}, {"start": 2014.51, "end": 2015.53, "word": " اتنين", "probability": 0.98095703125}, {"start": 2015.53, "end": 2016.15, "word": " ثيتا", "probability": 0.7345377604166666}, {"start": 2016.15, "end": 2016.97, "word": " يعني", "probability": 0.798583984375}, {"start": 2016.97, "end": 2018.05, "word": " صالب", "probability": 0.71826171875}, {"start": 2018.05, "end": 2018.47, "word": " R", "probability": 0.3154296875}, {"start": 2018.47, "end": 2019.19, "word": " تربيع", "probability": 0.8360595703125}, {"start": 2019.19, "end": 2019.95, "word": " يعني", "probability": 0.868896484375}, {"start": 2019.95, "end": 2020.71, "word": " ماسواتش", "probability": 0.627978515625}, {"start": 2020.71, "end": 2021.15, "word": " R", "probability": 0.822265625}, {"start": 2021.15, "end": 2021.95, "word": " تربيع", "probability": 0.961181640625}, {"start": 2021.95, "end": 2022.85, "word": " يبقى", "probability": 0.972412109375}, {"start": 2022.85, "end": 2023.07, "word": " لا", "probability": 0.5234375}, {"start": 2023.07, "end": 2024.71, "word": " تساوي", "probability": 0.9454345703125}, {"start": 2024.71, "end": 2025.59, "word": " R", "probability": 0.91259765625}, {"start": 2025.59, "end": 2026.25, "word": " تربيع", "probability": 0.961181640625}], "temperature": 1.0}, {"id": 88, "seek": 205589, "start": 2027.45, "end": 2055.89, "text": "أذا ماقدرش أقول في تمثل و الله مافيش بده أروح أجيب النقطة المكافئة لها يبقى بده أشيل كل theta و أحط مكانها by ناقص theta يبقى بده أاخد الأن أربع sine اتنين في by ناقص theta شيلنا theta تبع الملحنة و أحط هنا مكانها by ناقص theta يبقى أربع sine اتنين by ناقص اتنين theta", "tokens": [10721, 15730, 19446, 28543, 2288, 8592, 5551, 39648, 8978, 6055, 2304, 12984, 1211, 4032, 21984, 19446, 41185, 8592, 47525, 3224, 5551, 32887, 5016, 5551, 7435, 1829, 3555, 28239, 47432, 3660, 9673, 4117, 31845, 19986, 3660, 5296, 11296, 7251, 3555, 4587, 7578, 47525, 3224, 5551, 8592, 26895, 28242, 9725, 4032, 5551, 5016, 9566, 3714, 41361, 11296, 538, 8717, 995, 4587, 9381, 9725, 7251, 3555, 4587, 7578, 47525, 3224, 5551, 47283, 3215, 16247, 1863, 5551, 25513, 3615, 18609, 1975, 2655, 1863, 9957, 8978, 538, 8717, 995, 4587, 9381, 9725, 13412, 26895, 8315, 9725, 6055, 3555, 3615, 9673, 1211, 5016, 1863, 3660, 4032, 5551, 5016, 9566, 34105, 3714, 41361, 11296, 538, 8717, 995, 4587, 9381, 9725, 7251, 3555, 4587, 7578, 5551, 25513, 3615, 18609, 1975, 2655, 1863, 9957, 538, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 9725], "avg_logprob": -0.21105239222593167, "compression_ratio": 2.213197969543147, "no_speech_prob": 0.0, "words": [{"start": 2027.45, "end": 2027.75, "word": "أذا", "probability": 0.32720947265625}, {"start": 2027.75, "end": 2028.31, "word": " ماقدرش", "probability": 0.7242431640625}, {"start": 2028.31, "end": 2028.57, "word": " أقول", "probability": 0.73046875}, {"start": 2028.57, "end": 2028.77, "word": " في", "probability": 0.7685546875}, {"start": 2028.77, "end": 2029.39, "word": " تمثل", "probability": 0.5570068359375}, {"start": 2029.39, "end": 2029.51, "word": " و", "probability": 0.2391357421875}, {"start": 2029.51, "end": 2029.61, "word": " الله", "probability": 0.69970703125}, {"start": 2029.61, "end": 2030.07, "word": " مافيش", "probability": 0.8636067708333334}, {"start": 2030.07, "end": 2030.31, "word": " بده", "probability": 0.503173828125}, {"start": 2030.31, "end": 2030.51, "word": " أروح", "probability": 0.8673502604166666}, {"start": 2030.51, "end": 2030.83, "word": " أجيب", "probability": 0.9632568359375}, {"start": 2030.83, "end": 2031.29, "word": " النقطة", "probability": 0.9558919270833334}, {"start": 2031.29, "end": 2032.05, "word": " المكافئة", "probability": 0.9740234375}, {"start": 2032.05, "end": 2032.45, "word": " لها", "probability": 0.95556640625}, {"start": 2032.45, "end": 2033.03, "word": " يبقى", "probability": 0.931396484375}, {"start": 2033.03, "end": 2033.33, "word": " بده", "probability": 0.733642578125}, {"start": 2033.33, "end": 2033.67, "word": " أشيل", "probability": 0.9348958333333334}, {"start": 2033.67, "end": 2034.07, "word": " كل", "probability": 0.9541015625}, {"start": 2034.07, "end": 2034.35, "word": " theta", "probability": 0.37939453125}, {"start": 2034.35, "end": 2034.57, "word": " و", "probability": 0.8779296875}, {"start": 2034.57, "end": 2034.87, "word": " أحط", "probability": 0.8818359375}, {"start": 2034.87, "end": 2035.61, "word": " مكانها", "probability": 0.9850260416666666}, {"start": 2035.61, "end": 2036.59, "word": " by", "probability": 0.226318359375}, {"start": 2036.59, "end": 2037.29, "word": " ناقص", "probability": 0.85662841796875}, {"start": 2037.29, "end": 2037.73, "word": " theta", "probability": 0.859375}, {"start": 2037.73, "end": 2038.53, "word": " يبقى", "probability": 0.979248046875}, {"start": 2038.53, "end": 2038.83, "word": " بده", "probability": 0.862548828125}, {"start": 2038.83, "end": 2039.29, "word": " أاخد", "probability": 0.8074544270833334}, {"start": 2039.29, "end": 2039.93, "word": " الأن", "probability": 0.7861328125}, {"start": 2039.93, "end": 2040.77, "word": " أربع", "probability": 0.720703125}, {"start": 2040.77, "end": 2041.49, "word": " sine", "probability": 0.2470703125}, {"start": 2041.49, "end": 2042.45, "word": " اتنين", "probability": 0.8935546875}, {"start": 2042.45, "end": 2043.07, "word": " في", "probability": 0.935546875}, {"start": 2043.07, "end": 2043.51, "word": " by", "probability": 0.984375}, {"start": 2043.51, "end": 2044.15, "word": " ناقص", "probability": 0.9954833984375}, {"start": 2044.15, "end": 2044.59, "word": " theta", "probability": 0.87353515625}, {"start": 2044.59, "end": 2045.57, "word": " شيلنا", "probability": 0.9049479166666666}, {"start": 2045.57, "end": 2045.87, "word": " theta", "probability": 0.71337890625}, {"start": 2045.87, "end": 2046.25, "word": " تبع", "probability": 0.796875}, {"start": 2046.25, "end": 2046.93, "word": " الملحنة", "probability": 0.7775390625}, {"start": 2046.93, "end": 2047.01, "word": " و", "probability": 0.74755859375}, {"start": 2047.01, "end": 2047.17, "word": " أحط", "probability": 0.7734375}, {"start": 2047.17, "end": 2047.33, "word": " هنا", "probability": 0.435791015625}, {"start": 2047.33, "end": 2047.87, "word": " مكانها", "probability": 0.9759114583333334}, {"start": 2047.87, "end": 2048.47, "word": " by", "probability": 0.95263671875}, {"start": 2048.47, "end": 2049.43, "word": " ناقص", "probability": 0.9951171875}, {"start": 2049.43, "end": 2049.81, "word": " theta", "probability": 0.89794921875}, {"start": 2049.81, "end": 2051.01, "word": " يبقى", "probability": 0.9931640625}, {"start": 2051.01, "end": 2051.73, "word": " أربع", "probability": 0.9314778645833334}, {"start": 2051.73, "end": 2052.49, "word": " sine", "probability": 0.83544921875}, {"start": 2052.49, "end": 2053.39, "word": " اتنين", "probability": 0.978515625}, {"start": 2053.39, "end": 2053.99, "word": " by", "probability": 0.943359375}, {"start": 2053.99, "end": 2054.77, "word": " ناقص", "probability": 0.99658203125}, {"start": 2054.77, "end": 2055.41, "word": " اتنين", "probability": 0.9853515625}, {"start": 2055.41, "end": 2055.89, "word": " theta", "probability": 0.8251953125}], "temperature": 1.0}, {"id": 89, "seek": 207364, "start": 2056.38, "end": 2073.64, "text": "هذا هو مقدار الوقت للصينة يبقى اتنين بايا مقدار الوقت يبقى اتنين بايا مقدار الوقت يبقى اتنين بايا مقدار الوقت يبقى اتنين بايا مقدار الوقت يبقى اتنين بايا مقدار الوقت", "tokens": [3224, 15730, 31439, 3714, 28543, 9640, 2423, 30543, 2655, 24976, 9381, 9957, 3660, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 4724, 995, 25528, 3714, 28543, 9640, 2423, 30543, 2655, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 4724, 995, 25528, 3714, 28543, 9640, 2423, 30543, 2655, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 4724, 995, 25528, 3714, 28543, 9640, 2423, 30543, 2655, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 4724, 995, 25528, 3714, 28543, 9640, 2423, 30543, 2655, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 4724, 995, 25528, 3714, 28543, 9640, 2423, 30543, 2655], "avg_logprob": -0.3244949422701441, "compression_ratio": 3.960526315789474, "no_speech_prob": 0.0, "words": [{"start": 2056.38, "end": 2057.04, "word": "هذا", "probability": 0.3142852783203125}, {"start": 2057.04, "end": 2057.08, "word": " هو", "probability": 0.1844482421875}, {"start": 2057.08, "end": 2057.34, "word": " مقدار", "probability": 0.4949544270833333}, {"start": 2057.34, "end": 2057.7, "word": " الوقت", "probability": 0.6891276041666666}, {"start": 2057.7, "end": 2058.7, "word": " للصينة", "probability": 0.439788818359375}, {"start": 2058.7, "end": 2059.98, "word": " يبقى", "probability": 0.655059814453125}, {"start": 2059.98, "end": 2060.22, "word": " اتنين", "probability": 0.609130859375}, {"start": 2060.22, "end": 2060.5, "word": " بايا", "probability": 0.5201009114583334}, {"start": 2060.5, "end": 2060.96, "word": " مقدار", "probability": 0.7952473958333334}, {"start": 2060.96, "end": 2061.46, "word": " الوقت", "probability": 0.9117838541666666}, {"start": 2061.46, "end": 2062.62, "word": " يبقى", "probability": 0.710296630859375}, {"start": 2062.62, "end": 2063.56, "word": " اتنين", "probability": 0.7919921875}, {"start": 2063.56, "end": 2063.62, "word": " بايا", "probability": 0.9137369791666666}, {"start": 2063.62, "end": 2064.7, "word": " مقدار", "probability": 0.9119466145833334}, {"start": 2064.7, "end": 2066.12, "word": " الوقت", "probability": 0.8868815104166666}, {"start": 2066.12, "end": 2066.54, "word": " يبقى", "probability": 0.871826171875}, {"start": 2066.54, "end": 2067.36, "word": " اتنين", "probability": 0.970703125}, {"start": 2067.36, "end": 2068.02, "word": " بايا", "probability": 0.9759114583333334}, {"start": 2068.02, "end": 2068.88, "word": " مقدار", "probability": 0.9777018229166666}, {"start": 2068.88, "end": 2068.88, "word": " الوقت", "probability": 0.9578450520833334}, {"start": 2068.88, "end": 2068.88, "word": " يبقى", "probability": 0.8905029296875}, {"start": 2068.88, "end": 2069.64, "word": " اتنين", "probability": 0.9730224609375}, {"start": 2069.64, "end": 2069.64, "word": " بايا", "probability": 0.97412109375}, {"start": 2069.64, "end": 2069.64, "word": " مقدار", "probability": 0.9798177083333334}, {"start": 2069.64, "end": 2069.64, "word": " الوقت", "probability": 0.9684244791666666}, {"start": 2069.64, "end": 2069.64, "word": " يبقى", "probability": 0.8780517578125}, {"start": 2069.64, "end": 2070.2, "word": " اتنين", "probability": 0.9720458984375}, {"start": 2070.2, "end": 2071.28, "word": " بايا", "probability": 0.97216796875}, {"start": 2071.28, "end": 2072.02, "word": " مقدار", "probability": 0.98046875}, {"start": 2072.02, "end": 2073.64, "word": " الوقت", "probability": 0.9694010416666666}], "temperature": 1.0}, {"id": 90, "seek": 209994, "start": 2073.68, "end": 2099.94, "text": "الـSin هذا يؤدي يبقى سالب برا يبقى يساوي سالب أربعة سين اتنين ثيتا يبقى هذا سالب R تربيع سؤالي هو إذا متمثل بالنسبة لمحور Y بالنسبة لمحور X ماتش بالنسبة لمحور X اه متمثل بالنسبة لمحور X", "tokens": [6027, 39184, 50, 259, 23758, 7251, 33604, 16254, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 4724, 23557, 7251, 3555, 4587, 7578, 7251, 3794, 995, 45865, 8608, 6027, 3555, 5551, 25513, 27884, 8608, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 7251, 3555, 4587, 7578, 23758, 8608, 6027, 3555, 497, 6055, 2288, 21292, 3615, 8608, 33604, 6027, 1829, 31439, 11933, 15730, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 398, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 3714, 9307, 8592, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 1975, 3224, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783], "avg_logprob": -0.23776533539002798, "compression_ratio": 2.116883116883117, "no_speech_prob": 0.0, "words": [{"start": 2073.68, "end": 2074.36, "word": "الـSin", "probability": 0.525634765625}, {"start": 2074.36, "end": 2074.68, "word": " هذا", "probability": 0.31982421875}, {"start": 2074.68, "end": 2075.04, "word": " يؤدي", "probability": 0.6160685221354166}, {"start": 2075.04, "end": 2075.32, "word": " يبقى", "probability": 0.870361328125}, {"start": 2075.32, "end": 2075.84, "word": " سالب", "probability": 0.5699055989583334}, {"start": 2075.84, "end": 2076.36, "word": " برا", "probability": 0.688720703125}, {"start": 2076.36, "end": 2077.22, "word": " يبقى", "probability": 0.9473876953125}, {"start": 2077.22, "end": 2077.82, "word": " يساوي", "probability": 0.8448486328125}, {"start": 2077.82, "end": 2078.7, "word": " سالب", "probability": 0.8395182291666666}, {"start": 2078.7, "end": 2079.42, "word": " أربعة", "probability": 0.7527669270833334}, {"start": 2079.42, "end": 2080.04, "word": " سين", "probability": 0.5634765625}, {"start": 2080.04, "end": 2081.44, "word": " اتنين", "probability": 0.9302978515625}, {"start": 2081.44, "end": 2082.08, "word": " ثيتا", "probability": 0.7482096354166666}, {"start": 2082.08, "end": 2083.0, "word": " يبقى", "probability": 0.975830078125}, {"start": 2083.0, "end": 2083.38, "word": " هذا", "probability": 0.95361328125}, {"start": 2083.38, "end": 2084.42, "word": " سالب", "probability": 0.9788411458333334}, {"start": 2084.42, "end": 2085.04, "word": " R", "probability": 0.460205078125}, {"start": 2085.04, "end": 2085.88, "word": " تربيع", "probability": 0.8848876953125}, {"start": 2085.88, "end": 2086.74, "word": " سؤالي", "probability": 0.9017333984375}, {"start": 2086.74, "end": 2087.0, "word": " هو", "probability": 0.98974609375}, {"start": 2087.0, "end": 2087.76, "word": " إذا", "probability": 0.869873046875}, {"start": 2087.76, "end": 2088.42, "word": " متمثل", "probability": 0.9000244140625}, {"start": 2088.42, "end": 2088.92, "word": " بالنسبة", "probability": 0.9903564453125}, {"start": 2088.92, "end": 2089.52, "word": " لمحور", "probability": 0.9637044270833334}, {"start": 2089.52, "end": 2089.96, "word": " Y", "probability": 0.95361328125}, {"start": 2089.96, "end": 2095.76, "word": " بالنسبة", "probability": 0.78131103515625}, {"start": 2095.76, "end": 2096.16, "word": " لمحور", "probability": 0.9807942708333334}, {"start": 2096.16, "end": 2096.44, "word": " X", "probability": 0.994140625}, {"start": 2096.44, "end": 2096.8, "word": " ماتش", "probability": 0.576416015625}, {"start": 2096.8, "end": 2097.12, "word": " بالنسبة", "probability": 0.853271484375}, {"start": 2097.12, "end": 2097.46, "word": " لمحور", "probability": 0.966796875}, {"start": 2097.46, "end": 2097.72, "word": " X", "probability": 0.984375}, {"start": 2097.72, "end": 2098.0, "word": " اه", "probability": 0.6402587890625}, {"start": 2098.0, "end": 2098.76, "word": " متمثل", "probability": 0.92529296875}, {"start": 2098.76, "end": 2099.14, "word": " بالنسبة", "probability": 0.995361328125}, {"start": 2099.14, "end": 2099.58, "word": " لمحور", "probability": 0.97509765625}, {"start": 2099.58, "end": 2099.94, "word": " X", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 91, "seek": 212631, "start": 2109.73, "end": 2126.31, "text": "أبراهيم الباكي يدعي أو يزعم ان هو يزعم تحت مال الوردة الشغلطية من الزعم اللي هو أبصر ومن الزعم يعني من الضمانة وانا به زعيم", "tokens": [10721, 3555, 23557, 3224, 32640, 29739, 995, 4117, 1829, 7251, 3215, 3615, 1829, 34051, 7251, 11622, 25957, 16472, 31439, 7251, 11622, 25957, 6055, 33753, 3714, 6027, 2423, 13063, 41891, 25124, 17082, 1211, 9566, 10632, 9154, 6024, 110, 25957, 13672, 1829, 31439, 5551, 3555, 9381, 2288, 4032, 27842, 6024, 110, 25957, 37495, 22653, 9154, 6024, 114, 2304, 7649, 3660, 4032, 7649, 995, 39627, 30767, 3615, 32640], "avg_logprob": -0.29687498780814087, "compression_ratio": 1.734375, "no_speech_prob": 0.0, "words": [{"start": 2109.73, "end": 2111.09, "word": "أبراهيم", "probability": 0.6793212890625}, {"start": 2111.09, "end": 2112.17, "word": " الباكي", "probability": 0.5709228515625}, {"start": 2112.17, "end": 2113.83, "word": " يدعي", "probability": 0.67010498046875}, {"start": 2113.83, "end": 2114.81, "word": " أو", "probability": 0.580078125}, {"start": 2114.81, "end": 2115.69, "word": " يزعم", "probability": 0.9659830729166666}, {"start": 2115.69, "end": 2116.41, "word": " ان", "probability": 0.47412109375}, {"start": 2116.41, "end": 2116.77, "word": " هو", "probability": 0.2266845703125}, {"start": 2116.77, "end": 2117.31, "word": " يزعم", "probability": 0.9021809895833334}, {"start": 2117.31, "end": 2117.57, "word": " تحت", "probability": 0.9609375}, {"start": 2117.57, "end": 2117.85, "word": " مال", "probability": 0.785888671875}, {"start": 2117.85, "end": 2118.33, "word": " الوردة", "probability": 0.87939453125}, {"start": 2118.33, "end": 2119.15, "word": " الشغلطية", "probability": 0.724951171875}, {"start": 2119.15, "end": 2120.33, "word": " من", "probability": 0.75390625}, {"start": 2120.33, "end": 2121.07, "word": " الزعم", "probability": 0.90625}, {"start": 2121.07, "end": 2121.37, "word": " اللي", "probability": 0.88037109375}, {"start": 2121.37, "end": 2121.51, "word": " هو", "probability": 0.966796875}, {"start": 2121.51, "end": 2122.25, "word": " أبصر", "probability": 0.8839111328125}, {"start": 2122.25, "end": 2122.79, "word": " ومن", "probability": 0.5096435546875}, {"start": 2122.79, "end": 2123.15, "word": " الزعم", "probability": 0.9567057291666666}, {"start": 2123.15, "end": 2123.47, "word": " يعني", "probability": 0.953369140625}, {"start": 2123.47, "end": 2123.69, "word": " من", "probability": 0.7822265625}, {"start": 2123.69, "end": 2124.53, "word": " الضمانة", "probability": 0.80830078125}, {"start": 2124.53, "end": 2125.21, "word": " وانا", "probability": 0.8636067708333334}, {"start": 2125.21, "end": 2125.53, "word": " به", "probability": 0.52783203125}, {"start": 2125.53, "end": 2126.31, "word": " زعيم", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 92, "seek": 214221, "start": 2126.74, "end": 2142.22, "text": "طبعا واللي ما فقر صواع الملك في قصة سيدنا يوسف قال اللي بيجيب صواع الملك ايله حمل بعير زيادة وانا كفيل بالكلام هذا طبعا بس كلامه مش صحيح مش صحيح ليش؟", "tokens": [9566, 3555, 3615, 995, 4032, 6027, 20292, 19446, 6156, 4587, 2288, 20328, 14407, 3615, 9673, 23275, 8978, 12174, 9381, 3660, 8608, 25708, 8315, 7251, 41779, 5172, 50239, 13672, 1829, 4724, 1829, 7435, 1829, 3555, 20328, 14407, 3615, 9673, 23275, 1975, 26895, 3224, 11331, 42213, 45030, 13546, 30767, 1829, 18513, 3660, 4032, 7649, 995, 9122, 5172, 26895, 20666, 28820, 10943, 23758, 23032, 3555, 3615, 995, 4724, 3794, 28242, 10943, 3224, 37893, 20328, 5016, 1829, 5016, 37893, 20328, 5016, 1829, 5016, 32239, 8592, 22807], "avg_logprob": -0.16547439435878433, "compression_ratio": 1.8108108108108107, "no_speech_prob": 0.0, "words": [{"start": 2126.74, "end": 2127.28, "word": "طبعا", "probability": 0.96435546875}, {"start": 2127.28, "end": 2127.64, "word": " واللي", "probability": 0.4597574869791667}, {"start": 2127.64, "end": 2128.22, "word": " ما", "probability": 0.77587890625}, {"start": 2128.22, "end": 2128.6, "word": " فقر", "probability": 0.5418294270833334}, {"start": 2128.6, "end": 2128.94, "word": " صواع", "probability": 0.8011067708333334}, {"start": 2128.94, "end": 2129.26, "word": " الملك", "probability": 0.9755859375}, {"start": 2129.26, "end": 2129.46, "word": " في", "probability": 0.93603515625}, {"start": 2129.46, "end": 2129.88, "word": " قصة", "probability": 0.99169921875}, {"start": 2129.88, "end": 2130.44, "word": " سيدنا", "probability": 0.9884440104166666}, {"start": 2130.44, "end": 2131.04, "word": " يوسف", "probability": 0.97021484375}, {"start": 2131.04, "end": 2131.68, "word": " قال", "probability": 0.7041015625}, {"start": 2131.68, "end": 2131.94, "word": " اللي", "probability": 0.887451171875}, {"start": 2131.94, "end": 2132.5, "word": " بيجيب", "probability": 0.99375}, {"start": 2132.5, "end": 2133.0, "word": " صواع", "probability": 0.93896484375}, {"start": 2133.0, "end": 2133.46, "word": " الملك", "probability": 0.98974609375}, {"start": 2133.46, "end": 2133.82, "word": " ايله", "probability": 0.5330810546875}, {"start": 2133.82, "end": 2134.16, "word": " حمل", "probability": 0.8798828125}, {"start": 2134.16, "end": 2134.7, "word": " بعير", "probability": 0.6690673828125}, {"start": 2134.7, "end": 2135.24, "word": " زيادة", "probability": 0.9100341796875}, {"start": 2135.24, "end": 2135.62, "word": " وانا", "probability": 0.9230143229166666}, {"start": 2135.62, "end": 2136.14, "word": " كفيل", "probability": 0.8675130208333334}, {"start": 2136.14, "end": 2136.72, "word": " بالكلام", "probability": 0.9680989583333334}, {"start": 2136.72, "end": 2137.04, "word": " هذا", "probability": 0.94970703125}, {"start": 2137.04, "end": 2138.46, "word": " طبعا", "probability": 0.886474609375}, {"start": 2138.46, "end": 2138.82, "word": " بس", "probability": 0.87841796875}, {"start": 2138.82, "end": 2139.56, "word": " كلامه", "probability": 0.9773763020833334}, {"start": 2139.56, "end": 2140.14, "word": " مش", "probability": 0.98828125}, {"start": 2140.14, "end": 2140.76, "word": " صحيح", "probability": 0.996337890625}, {"start": 2140.76, "end": 2141.3, "word": " مش", "probability": 0.61181640625}, {"start": 2141.3, "end": 2141.66, "word": " صحيح", "probability": 0.99853515625}, {"start": 2141.66, "end": 2142.22, "word": " ليش؟", "probability": 0.9261067708333334}], "temperature": 1.0}, {"id": 93, "seek": 215801, "start": 2142.41, "end": 2158.01, "text": "لان احنا لما نقول اذا شيلت تيتا وحطيت مكانها by ناقص تيتا، بدي يطلع ناقص R يعني احنا مشان يطلع كلامنا صحية، هذا لا يساوي سالب R الكل تربية", "tokens": [1211, 7649, 1975, 5016, 8315, 5296, 15042, 8717, 39648, 1975, 15730, 13412, 26895, 2655, 6055, 36081, 995, 4032, 5016, 9566, 36081, 3714, 41361, 11296, 538, 8717, 995, 4587, 9381, 6055, 36081, 995, 12399, 4724, 16254, 7251, 9566, 1211, 3615, 8717, 995, 4587, 9381, 497, 37495, 22653, 1975, 5016, 8315, 37893, 7649, 7251, 9566, 1211, 3615, 28242, 10943, 8315, 20328, 5016, 10632, 12399, 23758, 20193, 7251, 3794, 995, 45865, 8608, 6027, 3555, 497, 2423, 28820, 6055, 25513, 10632], "avg_logprob": -0.2714342944897138, "compression_ratio": 1.6486486486486487, "no_speech_prob": 0.0, "words": [{"start": 2142.41, "end": 2142.71, "word": "لان", "probability": 0.364990234375}, {"start": 2142.71, "end": 2142.85, "word": " احنا", "probability": 0.6868489583333334}, {"start": 2142.85, "end": 2143.03, "word": " لما", "probability": 0.548095703125}, {"start": 2143.03, "end": 2143.29, "word": " نقول", "probability": 0.97412109375}, {"start": 2143.29, "end": 2143.71, "word": " اذا", "probability": 0.760009765625}, {"start": 2143.71, "end": 2144.59, "word": " شيلت", "probability": 0.8470052083333334}, {"start": 2144.59, "end": 2144.99, "word": " تيتا", "probability": 0.6696370442708334}, {"start": 2144.99, "end": 2145.49, "word": " وحطيت", "probability": 0.8277587890625}, {"start": 2145.49, "end": 2146.03, "word": " مكانها", "probability": 0.9659830729166666}, {"start": 2146.03, "end": 2146.23, "word": " by", "probability": 0.36572265625}, {"start": 2146.23, "end": 2146.59, "word": " ناقص", "probability": 0.94140625}, {"start": 2146.59, "end": 2146.87, "word": " تيتا،", "probability": 0.8634033203125}, {"start": 2146.87, "end": 2147.09, "word": " بدي", "probability": 0.28076171875}, {"start": 2147.09, "end": 2147.67, "word": " يطلع", "probability": 0.9527587890625}, {"start": 2147.67, "end": 2148.47, "word": " ناقص", "probability": 0.9803466796875}, {"start": 2148.47, "end": 2148.85, "word": " R", "probability": 0.51171875}, {"start": 2148.85, "end": 2149.67, "word": " يعني", "probability": 0.7158203125}, {"start": 2149.67, "end": 2150.09, "word": " احنا", "probability": 0.966796875}, {"start": 2150.09, "end": 2150.67, "word": " مشان", "probability": 0.801025390625}, {"start": 2150.67, "end": 2151.11, "word": " يطلع", "probability": 0.990478515625}, {"start": 2151.11, "end": 2151.79, "word": " كلامنا", "probability": 0.9576822916666666}, {"start": 2151.79, "end": 2152.97, "word": " صحية،", "probability": 0.68426513671875}, {"start": 2152.97, "end": 2153.47, "word": " هذا", "probability": 0.8935546875}, {"start": 2153.47, "end": 2154.13, "word": " لا", "probability": 0.85400390625}, {"start": 2154.13, "end": 2155.35, "word": " يساوي", "probability": 0.9537353515625}, {"start": 2155.35, "end": 2156.31, "word": " سالب", "probability": 0.9296875}, {"start": 2156.31, "end": 2156.77, "word": " R", "probability": 0.943359375}, {"start": 2156.77, "end": 2157.35, "word": " الكل", "probability": 0.709716796875}, {"start": 2157.35, "end": 2158.01, "word": " تربية", "probability": 0.706787109375}], "temperature": 1.0}, {"id": 94, "seek": 218730, "start": 2158.6, "end": 2187.3, "text": "يعني انت بدى يجى مكان الار سالب ار مظبوط لكن احنا اجت السالب قبل الار يبقى هدول بيسووش بعض وبالتالي no symmetry about the x axis يبقى بروح بقوله هنا no symmetry about the x axis ماعنديش تماثل حبل محور x", "tokens": [40228, 22653, 16472, 2655, 47525, 7578, 7251, 7435, 7578, 3714, 41361, 2423, 9640, 8608, 6027, 3555, 1975, 2288, 3714, 19913, 3555, 2407, 9566, 44381, 1975, 5016, 8315, 1975, 7435, 2655, 21136, 6027, 3555, 12174, 36150, 2423, 9640, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 4724, 1829, 3794, 2407, 2407, 8592, 45030, 11242, 46599, 6027, 2655, 6027, 1829, 572, 25440, 466, 264, 2031, 10298, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 3224, 34105, 572, 25440, 466, 264, 2031, 10298, 19446, 3615, 1863, 16254, 8592, 46811, 5718, 104, 1211, 11331, 36150, 3714, 5016, 13063, 2031], "avg_logprob": -0.20800781824315587, "compression_ratio": 1.6772486772486772, "no_speech_prob": 0.0, "words": [{"start": 2158.6, "end": 2159.04, "word": "يعني", "probability": 0.748779296875}, {"start": 2159.04, "end": 2159.38, "word": " انت", "probability": 0.615966796875}, {"start": 2159.38, "end": 2159.74, "word": " بدى", "probability": 0.4873046875}, {"start": 2159.74, "end": 2160.02, "word": " يجى", "probability": 0.7744140625}, {"start": 2160.02, "end": 2160.64, "word": " مكان", "probability": 0.978271484375}, {"start": 2160.64, "end": 2161.3, "word": " الار", "probability": 0.5718994140625}, {"start": 2161.3, "end": 2162.02, "word": " سالب", "probability": 0.9306640625}, {"start": 2162.02, "end": 2162.56, "word": " ار", "probability": 0.822021484375}, {"start": 2162.56, "end": 2163.48, "word": " مظبوط", "probability": 0.802001953125}, {"start": 2163.48, "end": 2163.94, "word": " لكن", "probability": 0.76806640625}, {"start": 2163.94, "end": 2164.16, "word": " احنا", "probability": 0.91259765625}, {"start": 2164.16, "end": 2164.48, "word": " اجت", "probability": 0.5318196614583334}, {"start": 2164.48, "end": 2165.12, "word": " السالب", "probability": 0.9685872395833334}, {"start": 2165.12, "end": 2165.58, "word": " قبل", "probability": 0.94384765625}, {"start": 2165.58, "end": 2166.16, "word": " الار", "probability": 0.982177734375}, {"start": 2166.16, "end": 2166.6, "word": " يبقى", "probability": 0.8936767578125}, {"start": 2166.6, "end": 2167.02, "word": " هدول", "probability": 0.93359375}, {"start": 2167.02, "end": 2167.64, "word": " بيسووش", "probability": 0.8326822916666666}, {"start": 2167.64, "end": 2168.08, "word": " بعض", "probability": 0.99365234375}, {"start": 2168.08, "end": 2169.22, "word": " وبالتالي", "probability": 0.8169921875}, {"start": 2169.22, "end": 2169.72, "word": " no", "probability": 0.421142578125}, {"start": 2169.72, "end": 2170.7, "word": " symmetry", "probability": 0.87939453125}, {"start": 2170.7, "end": 2171.3, "word": " about", "probability": 0.92333984375}, {"start": 2171.3, "end": 2171.68, "word": " the", "probability": 0.8310546875}, {"start": 2171.68, "end": 2171.92, "word": " x", "probability": 0.84326171875}, {"start": 2171.92, "end": 2172.42, "word": " axis", "probability": 0.73486328125}, {"start": 2172.42, "end": 2173.18, "word": " يبقى", "probability": 0.935546875}, {"start": 2173.18, "end": 2173.56, "word": " بروح", "probability": 0.94287109375}, {"start": 2173.56, "end": 2174.14, "word": " بقوله", "probability": 0.8963216145833334}, {"start": 2174.14, "end": 2174.48, "word": " هنا", "probability": 0.95849609375}, {"start": 2174.48, "end": 2175.16, "word": " no", "probability": 0.765625}, {"start": 2175.16, "end": 2176.74, "word": " symmetry", "probability": 0.888671875}, {"start": 2176.74, "end": 2179.72, "word": " about", "probability": 0.93701171875}, {"start": 2179.72, "end": 2181.62, "word": " the", "probability": 0.8974609375}, {"start": 2181.62, "end": 2183.22, "word": " x", "probability": 0.97607421875}, {"start": 2183.22, "end": 2184.06, "word": " axis", "probability": 0.94189453125}, {"start": 2184.06, "end": 2185.12, "word": " ماعنديش", "probability": 0.96025390625}, {"start": 2185.12, "end": 2185.7, "word": " تماثل", "probability": 0.7965087890625}, {"start": 2185.7, "end": 2186.16, "word": " حبل", "probability": 0.6246337890625}, {"start": 2186.16, "end": 2186.88, "word": " محور", "probability": 0.9749348958333334}, {"start": 2186.88, "end": 2187.3, "word": " x", "probability": 0.65673828125}], "temperature": 1.0}, {"id": 95, "seek": 220305, "start": 2187.89, "end": 2203.05, "text": "لو رجعت للكلام النظري اللى كتبناه المرة الماضية بنروح نشيل theta ونحط مكانها ناقص theta طلعت نفس المعادلة بقول theta مثل ما طلعتش بنروح ندور على النقطة المكافئة لها", "tokens": [1211, 2407, 12602, 7435, 34268, 24976, 28820, 10943, 28239, 19913, 16572, 13672, 7578, 9122, 2655, 3555, 8315, 3224, 9673, 25720, 9673, 46958, 10632, 44945, 32887, 5016, 8717, 8592, 26895, 9725, 4032, 1863, 5016, 9566, 3714, 41361, 11296, 8717, 995, 4587, 9381, 9725, 23032, 1211, 34268, 8717, 36178, 9673, 3615, 18513, 37977, 4724, 39648, 9725, 50113, 1211, 19446, 23032, 1211, 34268, 8592, 44945, 32887, 5016, 8717, 3215, 13063, 15844, 28239, 47432, 3660, 9673, 4117, 31845, 19986, 3660, 5296, 11296], "avg_logprob": -0.15981012809125683, "compression_ratio": 1.6964285714285714, "no_speech_prob": 0.0, "words": [{"start": 2187.89, "end": 2188.29, "word": "لو", "probability": 0.6246337890625}, {"start": 2188.29, "end": 2188.75, "word": " رجعت", "probability": 0.89794921875}, {"start": 2188.75, "end": 2189.29, "word": " للكلام", "probability": 0.7864583333333334}, {"start": 2189.29, "end": 2189.73, "word": " النظري", "probability": 0.875}, {"start": 2189.73, "end": 2189.87, "word": " اللى", "probability": 0.63818359375}, {"start": 2189.87, "end": 2190.43, "word": " كتبناه", "probability": 0.98427734375}, {"start": 2190.43, "end": 2190.87, "word": " المرة", "probability": 0.936767578125}, {"start": 2190.87, "end": 2191.69, "word": " الماضية", "probability": 0.9851888020833334}, {"start": 2191.69, "end": 2193.01, "word": " بنروح", "probability": 0.7333577473958334}, {"start": 2193.01, "end": 2194.01, "word": " نشيل", "probability": 0.7980143229166666}, {"start": 2194.01, "end": 2194.61, "word": " theta", "probability": 0.298095703125}, {"start": 2194.61, "end": 2195.31, "word": " ونحط", "probability": 0.90625}, {"start": 2195.31, "end": 2195.87, "word": " مكانها", "probability": 0.9905598958333334}, {"start": 2195.87, "end": 2196.35, "word": " ناقص", "probability": 0.9268798828125}, {"start": 2196.35, "end": 2196.75, "word": " theta", "probability": 0.7939453125}, {"start": 2196.75, "end": 2197.65, "word": " طلعت", "probability": 0.88671875}, {"start": 2197.65, "end": 2197.97, "word": " نفس", "probability": 0.9970703125}, {"start": 2197.97, "end": 2198.61, "word": " المعادلة", "probability": 0.9884033203125}, {"start": 2198.61, "end": 2198.93, "word": " بقول", "probability": 0.728515625}, {"start": 2198.93, "end": 2199.25, "word": " theta", "probability": 0.69580078125}, {"start": 2199.25, "end": 2199.61, "word": " مثل", "probability": 0.540283203125}, {"start": 2199.61, "end": 2199.75, "word": " ما", "probability": 0.8779296875}, {"start": 2199.75, "end": 2200.27, "word": " طلعتش", "probability": 0.970458984375}, {"start": 2200.27, "end": 2200.67, "word": " بنروح", "probability": 0.9176432291666666}, {"start": 2200.67, "end": 2201.11, "word": " ندور", "probability": 0.9495442708333334}, {"start": 2201.11, "end": 2201.33, "word": " على", "probability": 0.82763671875}, {"start": 2201.33, "end": 2202.01, "word": " النقطة", "probability": 0.9666341145833334}, {"start": 2202.01, "end": 2202.79, "word": " المكافئة", "probability": 0.94169921875}, {"start": 2202.79, "end": 2203.05, "word": " لها", "probability": 0.962646484375}], "temperature": 1.0}, {"id": 96, "seek": 223061, "start": 2203.59, "end": 2230.61, "text": "حقنا هنا ناقصتها ما طلعتش روحنا جيبنا من با اربع باين ناقصتها الاصل هنا يطلع سالب ار مع الزاوية هذه تمام احنا طلع ان هنا ليس سالب ار الكل تربية وانما طلعت سالب لحالها والار تربية لحالها هدول بيسويش بعض وبالتالي أصبح انها", "tokens": [5016, 4587, 8315, 34105, 8717, 995, 4587, 9381, 2655, 11296, 19446, 23032, 1211, 34268, 8592, 12602, 2407, 5016, 8315, 10874, 1829, 3555, 8315, 9154, 4724, 995, 1975, 25513, 3615, 4724, 995, 9957, 8717, 995, 4587, 9381, 2655, 11296, 2423, 33546, 1211, 34105, 7251, 9566, 1211, 3615, 8608, 6027, 3555, 1975, 2288, 20449, 6024, 110, 995, 2407, 10632, 29538, 46811, 10943, 1975, 5016, 8315, 23032, 1211, 3615, 16472, 34105, 32239, 3794, 8608, 6027, 3555, 1975, 2288, 2423, 28820, 6055, 25513, 10632, 4032, 7649, 15042, 23032, 1211, 34268, 8608, 6027, 3555, 5296, 5016, 6027, 11296, 16070, 9640, 6055, 25513, 10632, 5296, 5016, 6027, 11296, 8032, 3215, 12610, 4724, 1829, 3794, 45865, 8592, 45030, 11242, 46599, 6027, 2655, 6027, 1829, 5551, 9381, 49628, 16472, 11296], "avg_logprob": -0.23348577114624705, "compression_ratio": 2.128342245989305, "no_speech_prob": 0.0, "words": [{"start": 2203.59, "end": 2204.45, "word": "حقنا", "probability": 0.4989013671875}, {"start": 2204.45, "end": 2204.71, "word": " هنا", "probability": 0.912109375}, {"start": 2204.71, "end": 2205.67, "word": " ناقصتها", "probability": 0.8155924479166666}, {"start": 2205.67, "end": 2205.85, "word": " ما", "probability": 0.369384765625}, {"start": 2205.85, "end": 2206.53, "word": " طلعتش", "probability": 0.981201171875}, {"start": 2206.53, "end": 2207.57, "word": " روحنا", "probability": 0.87646484375}, {"start": 2207.57, "end": 2208.27, "word": " جيبنا", "probability": 0.911376953125}, {"start": 2208.27, "end": 2208.93, "word": " من", "probability": 0.92919921875}, {"start": 2208.93, "end": 2210.45, "word": " با", "probability": 0.39935302734375}, {"start": 2210.45, "end": 2211.51, "word": " اربع", "probability": 0.6026204427083334}, {"start": 2211.51, "end": 2212.09, "word": " باين", "probability": 0.6396077473958334}, {"start": 2212.09, "end": 2212.85, "word": " ناقصتها", "probability": 0.9779459635416666}, {"start": 2212.85, "end": 2213.47, "word": " الاصل", "probability": 0.7980143229166666}, {"start": 2213.47, "end": 2213.73, "word": " هنا", "probability": 0.951171875}, {"start": 2213.73, "end": 2214.29, "word": " يطلع", "probability": 0.9788818359375}, {"start": 2214.29, "end": 2215.09, "word": " سالب", "probability": 0.8135579427083334}, {"start": 2215.09, "end": 2215.57, "word": " ار", "probability": 0.641357421875}, {"start": 2215.57, "end": 2216.13, "word": " مع", "probability": 0.96337890625}, {"start": 2216.13, "end": 2216.77, "word": " الزاوية", "probability": 0.90712890625}, {"start": 2216.77, "end": 2217.23, "word": " هذه", "probability": 0.85400390625}, {"start": 2217.23, "end": 2217.91, "word": " تمام", "probability": 0.6422119140625}, {"start": 2217.91, "end": 2218.71, "word": " احنا", "probability": 0.8948567708333334}, {"start": 2218.71, "end": 2219.13, "word": " طلع", "probability": 0.9186197916666666}, {"start": 2219.13, "end": 2219.45, "word": " ان", "probability": 0.488525390625}, {"start": 2219.45, "end": 2219.89, "word": " هنا", "probability": 0.970703125}, {"start": 2219.89, "end": 2220.91, "word": " ليس", "probability": 0.962890625}, {"start": 2220.91, "end": 2221.59, "word": " سالب", "probability": 0.9851888020833334}, {"start": 2221.59, "end": 2221.91, "word": " ار", "probability": 0.91259765625}, {"start": 2221.91, "end": 2222.45, "word": " الكل", "probability": 0.6009521484375}, {"start": 2222.45, "end": 2222.79, "word": " تربية", "probability": 0.7755533854166666}, {"start": 2222.79, "end": 2223.13, "word": " وانما", "probability": 0.6422932942708334}, {"start": 2223.13, "end": 2223.53, "word": " طلعت", "probability": 0.9407552083333334}, {"start": 2223.53, "end": 2224.29, "word": " سالب", "probability": 0.98876953125}, {"start": 2224.29, "end": 2225.01, "word": " لحالها", "probability": 0.846435546875}, {"start": 2225.01, "end": 2225.73, "word": " والار", "probability": 0.6484375}, {"start": 2225.73, "end": 2226.11, "word": " تربية", "probability": 0.9542643229166666}, {"start": 2226.11, "end": 2226.47, "word": " لحالها", "probability": 0.981689453125}, {"start": 2226.47, "end": 2226.73, "word": " هدول", "probability": 0.8523763020833334}, {"start": 2226.73, "end": 2227.35, "word": " بيسويش", "probability": 0.786328125}, {"start": 2227.35, "end": 2227.75, "word": " بعض", "probability": 0.98681640625}, {"start": 2227.75, "end": 2229.13, "word": " وبالتالي", "probability": 0.94208984375}, {"start": 2229.13, "end": 2229.91, "word": " أصبح", "probability": 0.84716796875}, {"start": 2229.91, "end": 2230.61, "word": " انها", "probability": 0.8134765625}], "temperature": 1.0}, {"id": 97, "seek": 225162, "start": 2231.36, "end": 2251.62, "text": "المنحنة غير متمثل بالنسبة لمحور X طيب نجي النقطة التانية بنشوف التمثل بالنسبة لمحور Y يبقى بدي أخد الأن أربعة صيني اتنين ل by ناقص theta مش هي اللي فوق هذه", "tokens": [45340, 1863, 5016, 1863, 3660, 32771, 13546, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 23032, 1829, 3555, 8717, 7435, 1829, 28239, 47432, 3660, 16712, 7649, 10632, 44945, 8592, 38688, 16712, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 398, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 9778, 3215, 16247, 1863, 5551, 25513, 27884, 20328, 9957, 1829, 1975, 2655, 1863, 9957, 5296, 538, 8717, 995, 4587, 9381, 9725, 37893, 39896, 13672, 1829, 6156, 30543, 29538], "avg_logprob": -0.22103658609273957, "compression_ratio": 1.6325301204819278, "no_speech_prob": 0.0, "words": [{"start": 2231.36, "end": 2232.36, "word": "المنحنة", "probability": 0.65732421875}, {"start": 2232.36, "end": 2232.8, "word": " غير", "probability": 0.972412109375}, {"start": 2232.8, "end": 2233.62, "word": " متمثل", "probability": 0.891357421875}, {"start": 2233.62, "end": 2234.16, "word": " بالنسبة", "probability": 0.943359375}, {"start": 2234.16, "end": 2234.8, "word": " لمحور", "probability": 0.9609375}, {"start": 2234.8, "end": 2235.1, "word": " X", "probability": 0.732421875}, {"start": 2235.1, "end": 2235.98, "word": " طيب", "probability": 0.7486165364583334}, {"start": 2235.98, "end": 2236.34, "word": " نجي", "probability": 0.78662109375}, {"start": 2236.34, "end": 2236.86, "word": " النقطة", "probability": 0.7696126302083334}, {"start": 2236.86, "end": 2238.08, "word": " التانية", "probability": 0.9703776041666666}, {"start": 2238.08, "end": 2238.82, "word": " بنشوف", "probability": 0.750732421875}, {"start": 2238.82, "end": 2239.4, "word": " التمثل", "probability": 0.972900390625}, {"start": 2239.4, "end": 2239.84, "word": " بالنسبة", "probability": 0.9862060546875}, {"start": 2239.84, "end": 2240.48, "word": " لمحور", "probability": 0.9905598958333334}, {"start": 2240.48, "end": 2241.56, "word": " Y", "probability": 0.9775390625}, {"start": 2241.56, "end": 2242.4, "word": " يبقى", "probability": 0.9498291015625}, {"start": 2242.4, "end": 2242.72, "word": " بدي", "probability": 0.5283203125}, {"start": 2242.72, "end": 2243.3, "word": " أخد", "probability": 0.69970703125}, {"start": 2243.3, "end": 2244.04, "word": " الأن", "probability": 0.781005859375}, {"start": 2244.04, "end": 2245.02, "word": " أربعة", "probability": 0.7625325520833334}, {"start": 2245.02, "end": 2246.08, "word": " صيني", "probability": 0.7716471354166666}, {"start": 2246.08, "end": 2246.84, "word": " اتنين", "probability": 0.957275390625}, {"start": 2246.84, "end": 2247.6, "word": " ل", "probability": 0.94677734375}, {"start": 2247.6, "end": 2248.1, "word": " by", "probability": 0.10235595703125}, {"start": 2248.1, "end": 2248.98, "word": " ناقص", "probability": 0.97314453125}, {"start": 2248.98, "end": 2249.38, "word": " theta", "probability": 0.42724609375}, {"start": 2249.38, "end": 2250.54, "word": " مش", "probability": 0.87353515625}, {"start": 2250.54, "end": 2250.78, "word": " هي", "probability": 0.69970703125}, {"start": 2250.78, "end": 2250.94, "word": " اللي", "probability": 0.94580078125}, {"start": 2250.94, "end": 2251.28, "word": " فوق", "probability": 0.98876953125}, {"start": 2251.28, "end": 2251.62, "word": " هذه", "probability": 0.7431640625}], "temperature": 1.0}, {"id": 98, "seek": 227413, "start": 2252.93, "end": 2274.13, "text": "صح ولا لا؟ يبقى هذه بدأت ساوي سالب R تربيع from above بديش أروح عيدها تاني طيب هذا الأصل يطلع مين؟ R تربيع لو كان هناك تماثل يبقى هذا لا يساوي R تربيع", "tokens": [9381, 5016, 49429, 20193, 22807, 7251, 3555, 4587, 7578, 29538, 47525, 10721, 2655, 8608, 995, 45865, 8608, 6027, 3555, 497, 6055, 2288, 21292, 3615, 490, 3673, 4724, 16254, 8592, 5551, 32887, 5016, 6225, 25708, 11296, 6055, 7649, 1829, 23032, 1829, 3555, 23758, 16247, 36520, 7251, 9566, 1211, 3615, 3714, 9957, 22807, 497, 6055, 2288, 21292, 3615, 45164, 25961, 34105, 4117, 46811, 5718, 104, 1211, 7251, 3555, 4587, 7578, 23758, 20193, 7251, 3794, 995, 45865, 497, 6055, 2288, 21292, 3615], "avg_logprob": -0.1965820288285613, "compression_ratio": 1.5609756097560976, "no_speech_prob": 0.0, "words": [{"start": 2252.93, "end": 2253.27, "word": "صح", "probability": 0.59912109375}, {"start": 2253.27, "end": 2253.47, "word": " ولا", "probability": 0.81689453125}, {"start": 2253.47, "end": 2254.19, "word": " لا؟", "probability": 0.774658203125}, {"start": 2254.19, "end": 2254.85, "word": " يبقى", "probability": 0.9317626953125}, {"start": 2254.85, "end": 2255.17, "word": " هذه", "probability": 0.32421875}, {"start": 2255.17, "end": 2255.85, "word": " بدأت", "probability": 0.80419921875}, {"start": 2255.85, "end": 2256.25, "word": " ساوي", "probability": 0.6039225260416666}, {"start": 2256.25, "end": 2256.97, "word": " سالب", "probability": 0.85595703125}, {"start": 2256.97, "end": 2257.37, "word": " R", "probability": 0.6005859375}, {"start": 2257.37, "end": 2258.11, "word": " تربيع", "probability": 0.8768310546875}, {"start": 2258.11, "end": 2258.85, "word": " from", "probability": 0.81982421875}, {"start": 2258.85, "end": 2260.05, "word": " above", "probability": 0.9375}, {"start": 2260.05, "end": 2261.13, "word": " بديش", "probability": 0.67431640625}, {"start": 2261.13, "end": 2261.41, "word": " أروح", "probability": 0.8252766927083334}, {"start": 2261.41, "end": 2261.95, "word": " عيدها", "probability": 0.7633463541666666}, {"start": 2261.95, "end": 2262.49, "word": " تاني", "probability": 0.9025065104166666}, {"start": 2262.49, "end": 2263.35, "word": " طيب", "probability": 0.9041341145833334}, {"start": 2263.35, "end": 2263.73, "word": " هذا", "probability": 0.7705078125}, {"start": 2263.73, "end": 2264.29, "word": " الأصل", "probability": 0.826416015625}, {"start": 2264.29, "end": 2264.75, "word": " يطلع", "probability": 0.9764404296875}, {"start": 2264.75, "end": 2265.47, "word": " مين؟", "probability": 0.8263346354166666}, {"start": 2265.47, "end": 2266.39, "word": " R", "probability": 0.8232421875}, {"start": 2266.39, "end": 2267.05, "word": " تربيع", "probability": 0.8673095703125}, {"start": 2267.05, "end": 2267.37, "word": " لو", "probability": 0.87939453125}, {"start": 2267.37, "end": 2267.95, "word": " كان", "probability": 0.99609375}, {"start": 2267.95, "end": 2268.63, "word": " هناك", "probability": 0.97265625}, {"start": 2268.63, "end": 2269.65, "word": " تماثل", "probability": 0.959716796875}, {"start": 2269.65, "end": 2270.51, "word": " يبقى", "probability": 0.90234375}, {"start": 2270.51, "end": 2270.95, "word": " هذا", "probability": 0.9755859375}, {"start": 2270.95, "end": 2271.51, "word": " لا", "probability": 0.71875}, {"start": 2271.51, "end": 2272.61, "word": " يساوي", "probability": 0.9310302734375}, {"start": 2272.61, "end": 2273.31, "word": " R", "probability": 0.95556640625}, {"start": 2273.31, "end": 2274.13, "word": " تربيع", "probability": 0.9515380859375}], "temperature": 1.0}, {"id": 99, "seek": 229312, "start": 2274.56, "end": 2293.12, "text": "معناته مش مبين فيه symmetry بس بدنا نأكد بدنا نروح على النقطة المكافئة لها بقول بط ولكن اربعة صين اتنين لسالب ثيتا بنحط جيب النقطة المكافئة لهو بده يطلع الجواب", "tokens": [2304, 3615, 8315, 47395, 37893, 3714, 3555, 9957, 8978, 3224, 25440, 4724, 3794, 47525, 8315, 8717, 10721, 4117, 3215, 47525, 8315, 8717, 32887, 5016, 15844, 28239, 47432, 3660, 9673, 4117, 31845, 19986, 3660, 5296, 11296, 4724, 39648, 4724, 9566, 35525, 19452, 1975, 25513, 27884, 20328, 9957, 1975, 2655, 1863, 9957, 5296, 3794, 6027, 3555, 38637, 36081, 995, 44945, 5016, 9566, 10874, 1829, 3555, 28239, 47432, 3660, 9673, 4117, 31845, 19986, 3660, 46740, 2407, 47525, 3224, 7251, 9566, 1211, 3615, 25724, 14407, 3555], "avg_logprob": -0.23776355565312396, "compression_ratio": 1.7134146341463414, "no_speech_prob": 0.0, "words": [{"start": 2274.56, "end": 2275.5, "word": "معناته", "probability": 0.80487060546875}, {"start": 2275.5, "end": 2276.1, "word": " مش", "probability": 0.556640625}, {"start": 2276.1, "end": 2276.68, "word": " مبين", "probability": 0.8740234375}, {"start": 2276.68, "end": 2276.98, "word": " فيه", "probability": 0.757080078125}, {"start": 2276.98, "end": 2277.42, "word": " symmetry", "probability": 0.755859375}, {"start": 2277.42, "end": 2277.82, "word": " بس", "probability": 0.92236328125}, {"start": 2277.82, "end": 2278.14, "word": " بدنا", "probability": 0.90625}, {"start": 2278.14, "end": 2278.82, "word": " نأكد", "probability": 0.80242919921875}, {"start": 2278.82, "end": 2279.18, "word": " بدنا", "probability": 0.63818359375}, {"start": 2279.18, "end": 2279.46, "word": " نروح", "probability": 0.98876953125}, {"start": 2279.46, "end": 2279.66, "word": " على", "probability": 0.67041015625}, {"start": 2279.66, "end": 2280.46, "word": " النقطة", "probability": 0.95361328125}, {"start": 2280.46, "end": 2281.52, "word": " المكافئة", "probability": 0.9611328125}, {"start": 2281.52, "end": 2281.94, "word": " لها", "probability": 0.94873046875}, {"start": 2281.94, "end": 2283.02, "word": " بقول", "probability": 0.922607421875}, {"start": 2283.02, "end": 2283.92, "word": " بط", "probability": 0.25970458984375}, {"start": 2283.92, "end": 2284.72, "word": " ولكن", "probability": 0.75}, {"start": 2284.72, "end": 2285.42, "word": " اربعة", "probability": 0.6903483072916666}, {"start": 2285.42, "end": 2286.08, "word": " صين", "probability": 0.759765625}, {"start": 2286.08, "end": 2286.88, "word": " اتنين", "probability": 0.9810791015625}, {"start": 2286.88, "end": 2288.22, "word": " لسالب", "probability": 0.8690185546875}, {"start": 2288.22, "end": 2288.78, "word": " ثيتا", "probability": 0.7088216145833334}, {"start": 2288.78, "end": 2289.54, "word": " بنحط", "probability": 0.5103352864583334}, {"start": 2289.54, "end": 2289.8, "word": " جيب", "probability": 0.9309895833333334}, {"start": 2289.8, "end": 2290.32, "word": " النقطة", "probability": 0.9728190104166666}, {"start": 2290.32, "end": 2291.14, "word": " المكافئة", "probability": 0.99443359375}, {"start": 2291.14, "end": 2291.46, "word": " لهو", "probability": 0.645263671875}, {"start": 2291.46, "end": 2291.9, "word": " بده", "probability": 0.5654296875}, {"start": 2291.9, "end": 2292.4, "word": " يطلع", "probability": 0.9766845703125}, {"start": 2292.4, "end": 2293.12, "word": " الجواب", "probability": 0.951171875}], "temperature": 1.0}, {"id": 100, "seek": 232207, "start": 2293.21, "end": 2322.07, "text": "بدلالة سالب ار بقول ان هذا الكلام يسوي سالب اربعة صين اتنين ثيتا يعني سالب ار تربية ولا يسوي كذلك سالب ار لكل تربية اذا من الاتنين هذول بستنتج انه لا يوجد symmetry بالنسبة لمن؟ كويس يبقى الناس symmetry", "tokens": [3555, 3215, 1211, 6027, 3660, 8608, 6027, 3555, 1975, 2288, 4724, 39648, 16472, 23758, 2423, 28820, 10943, 7251, 3794, 45865, 8608, 6027, 3555, 1975, 25513, 27884, 20328, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 37495, 22653, 8608, 6027, 3555, 1975, 2288, 6055, 25513, 10632, 49429, 7251, 3794, 45865, 9122, 8848, 23275, 8608, 6027, 3555, 1975, 2288, 5296, 28820, 6055, 25513, 10632, 1975, 15730, 9154, 2423, 9307, 1863, 9957, 8032, 8848, 12610, 4724, 14851, 29399, 7435, 16472, 3224, 20193, 7251, 29245, 3215, 25440, 20666, 1863, 35457, 3660, 5296, 27842, 22807, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 2423, 8315, 3794, 25440], "avg_logprob": -0.2536764761396483, "compression_ratio": 1.901639344262295, "no_speech_prob": 0.0, "words": [{"start": 2293.21, "end": 2294.13, "word": "بدلالة", "probability": 0.82822265625}, {"start": 2294.13, "end": 2294.73, "word": " سالب", "probability": 0.67340087890625}, {"start": 2294.73, "end": 2295.15, "word": " ار", "probability": 0.556884765625}, {"start": 2295.15, "end": 2295.99, "word": " بقول", "probability": 0.593994140625}, {"start": 2295.99, "end": 2296.11, "word": " ان", "probability": 0.51513671875}, {"start": 2296.11, "end": 2296.43, "word": " هذا", "probability": 0.6865234375}, {"start": 2296.43, "end": 2296.95, "word": " الكلام", "probability": 0.92578125}, {"start": 2296.95, "end": 2297.39, "word": " يسوي", "probability": 0.7859700520833334}, {"start": 2297.39, "end": 2298.17, "word": " سالب", "probability": 0.8963216145833334}, {"start": 2298.17, "end": 2298.87, "word": " اربعة", "probability": 0.7936197916666666}, {"start": 2298.87, "end": 2299.51, "word": " صين", "probability": 0.65185546875}, {"start": 2299.51, "end": 2300.01, "word": " اتنين", "probability": 0.9671630859375}, {"start": 2300.01, "end": 2300.65, "word": " ثيتا", "probability": 0.6495768229166666}, {"start": 2300.65, "end": 2301.45, "word": " يعني", "probability": 0.853515625}, {"start": 2301.45, "end": 2302.41, "word": " سالب", "probability": 0.9723307291666666}, {"start": 2302.41, "end": 2302.89, "word": " ار", "probability": 0.922607421875}, {"start": 2302.89, "end": 2303.69, "word": " تربية", "probability": 0.88427734375}, {"start": 2303.69, "end": 2304.81, "word": " ولا", "probability": 0.5771484375}, {"start": 2304.81, "end": 2305.83, "word": " يسوي", "probability": 0.8898111979166666}, {"start": 2305.83, "end": 2306.69, "word": " كذلك", "probability": 0.9650065104166666}, {"start": 2306.69, "end": 2307.45, "word": " سالب", "probability": 0.9874674479166666}, {"start": 2307.45, "end": 2308.11, "word": " ار", "probability": 0.96875}, {"start": 2308.11, "end": 2308.75, "word": " لكل", "probability": 0.6195068359375}, {"start": 2308.75, "end": 2309.35, "word": " تربية", "probability": 0.9640299479166666}, {"start": 2309.35, "end": 2310.21, "word": " اذا", "probability": 0.71875}, {"start": 2310.21, "end": 2310.45, "word": " من", "probability": 0.970703125}, {"start": 2310.45, "end": 2311.25, "word": " الاتنين", "probability": 0.8629150390625}, {"start": 2311.25, "end": 2312.03, "word": " هذول", "probability": 0.7353515625}, {"start": 2312.03, "end": 2312.93, "word": " بستنتج", "probability": 0.8443603515625}, {"start": 2312.93, "end": 2313.29, "word": " انه", "probability": 0.78955078125}, {"start": 2313.29, "end": 2314.51, "word": " لا", "probability": 0.658203125}, {"start": 2314.51, "end": 2315.21, "word": " يوجد", "probability": 0.94384765625}, {"start": 2315.21, "end": 2315.93, "word": " symmetry", "probability": 0.81396484375}, {"start": 2315.93, "end": 2316.67, "word": " بالنسبة", "probability": 0.947021484375}, {"start": 2316.67, "end": 2317.59, "word": " لمن؟", "probability": 0.5992838541666666}, {"start": 2317.59, "end": 2319.25, "word": " كويس", "probability": 0.7447916666666666}, {"start": 2319.25, "end": 2319.85, "word": " يبقى", "probability": 0.937255859375}, {"start": 2319.85, "end": 2320.91, "word": " الناس", "probability": 0.7067057291666666}, {"start": 2320.91, "end": 2322.07, "word": " symmetry", "probability": 0.548828125}], "temperature": 1.0}, {"id": 101, "seek": 234887, "start": 2324.23, "end": 2348.87, "text": "About مين؟ الـ Y Axis بعوض الله طيب، النمرة تلاتة، بدالي تمثل بالنسبة لنقطة الأصل، يبقى بدالي أشيل R و أحط مكانها ناقصها رأينا، دلت نفس المعادلة، بنقول فيه تمثل، ماكانش، بدنا نروح و نجيب النقطة المكافية لها", "tokens": [23695, 346, 3714, 9957, 22807, 2423, 39184, 398, 20118, 271, 45030, 2407, 11242, 21984, 23032, 1829, 3555, 12399, 28239, 2304, 25720, 6055, 1211, 9307, 3660, 12399, 47525, 6027, 1829, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 1863, 47432, 3660, 16247, 36520, 12399, 7251, 3555, 4587, 7578, 47525, 6027, 1829, 5551, 8592, 26895, 497, 4032, 5551, 5016, 9566, 3714, 41361, 11296, 8717, 995, 4587, 9381, 11296, 12602, 10721, 1829, 8315, 12399, 11778, 1211, 2655, 8717, 36178, 9673, 3615, 18513, 37977, 12399, 44945, 39648, 8978, 3224, 46811, 12984, 1211, 12399, 19446, 41361, 8592, 12399, 47525, 8315, 8717, 32887, 5016, 4032, 8717, 7435, 1829, 3555, 28239, 47432, 3660, 9673, 4117, 31845, 10632, 5296, 11296], "avg_logprob": -0.32936946058695293, "compression_ratio": 1.6470588235294117, "no_speech_prob": 0.0, "words": [{"start": 2324.23, "end": 2325.27, "word": "About", "probability": 0.5049896240234375}, {"start": 2325.27, "end": 2326.31, "word": " مين؟", "probability": 0.607177734375}, {"start": 2326.31, "end": 2327.35, "word": " الـ", "probability": 0.586181640625}, {"start": 2327.35, "end": 2327.49, "word": " Y", "probability": 0.6630859375}, {"start": 2327.49, "end": 2328.25, "word": " Axis", "probability": 0.640380859375}, {"start": 2328.25, "end": 2329.95, "word": " بعوض", "probability": 0.6995442708333334}, {"start": 2329.95, "end": 2330.27, "word": " الله", "probability": 0.9697265625}, {"start": 2330.27, "end": 2332.37, "word": " طيب،", "probability": 0.645416259765625}, {"start": 2332.37, "end": 2332.77, "word": " النمرة", "probability": 0.766845703125}, {"start": 2332.77, "end": 2334.01, "word": " تلاتة،", "probability": 0.77607421875}, {"start": 2334.01, "end": 2334.43, "word": " بدالي", "probability": 0.6066487630208334}, {"start": 2334.43, "end": 2334.97, "word": " تمثل", "probability": 0.9508463541666666}, {"start": 2334.97, "end": 2335.53, "word": " بالنسبة", "probability": 0.9853515625}, {"start": 2335.53, "end": 2337.33, "word": " لنقطة", "probability": 0.9593505859375}, {"start": 2337.33, "end": 2338.57, "word": " الأصل،", "probability": 0.6898600260416666}, {"start": 2338.57, "end": 2338.75, "word": " يبقى", "probability": 0.79376220703125}, {"start": 2338.75, "end": 2339.27, "word": " بدالي", "probability": 0.668212890625}, {"start": 2339.27, "end": 2339.53, "word": " أشيل", "probability": 0.7566731770833334}, {"start": 2339.53, "end": 2339.83, "word": " R", "probability": 0.69482421875}, {"start": 2339.83, "end": 2340.01, "word": " و", "probability": 0.861328125}, {"start": 2340.01, "end": 2340.27, "word": " أحط", "probability": 0.7693684895833334}, {"start": 2340.27, "end": 2340.97, "word": " مكانها", "probability": 0.9925130208333334}, {"start": 2340.97, "end": 2342.01, "word": " ناقصها", "probability": 0.809912109375}, {"start": 2342.01, "end": 2342.25, "word": " رأينا،", "probability": 0.547900390625}, {"start": 2342.25, "end": 2342.89, "word": " دلت", "probability": 0.62152099609375}, {"start": 2342.89, "end": 2343.11, "word": " نفس", "probability": 0.9873046875}, {"start": 2343.11, "end": 2344.27, "word": " المعادلة،", "probability": 0.94169921875}, {"start": 2344.27, "end": 2344.65, "word": " بنقول", "probability": 0.73583984375}, {"start": 2344.65, "end": 2344.93, "word": " فيه", "probability": 0.716064453125}, {"start": 2344.93, "end": 2345.51, "word": " تمثل،", "probability": 0.935302734375}, {"start": 2345.51, "end": 2346.43, "word": " ماكانش،", "probability": 0.75384521484375}, {"start": 2346.43, "end": 2346.69, "word": " بدنا", "probability": 0.9580078125}, {"start": 2346.69, "end": 2346.99, "word": " نروح", "probability": 0.9894205729166666}, {"start": 2346.99, "end": 2347.13, "word": " و", "probability": 0.5390625}, {"start": 2347.13, "end": 2347.35, "word": " نجيب", "probability": 0.94287109375}, {"start": 2347.35, "end": 2347.87, "word": " النقطة", "probability": 0.9786783854166666}, {"start": 2347.87, "end": 2348.55, "word": " المكافية", "probability": 0.86395263671875}, {"start": 2348.55, "end": 2348.87, "word": " لها", "probability": 0.77587890625}], "temperature": 1.0}, {"id": 102, "seek": 237827, "start": 2349.17, "end": 2378.27, "text": "يبقى أنا بدي أشيل R و أحط مكانها سالب R إيش طالع عندي؟ R تربية نفسها اللي هي مين؟ اللي هي اللي عندنا أربع صين اتنين ثيتا يبقى هنا the graph is symmetric about مين؟", "tokens": [1829, 3555, 4587, 7578, 41850, 4724, 16254, 5551, 8592, 26895, 497, 4032, 5551, 5016, 9566, 3714, 41361, 11296, 8608, 6027, 3555, 497, 11933, 1829, 8592, 23032, 6027, 3615, 18871, 16254, 22807, 497, 6055, 25513, 10632, 8717, 36178, 11296, 13672, 1829, 39896, 3714, 9957, 22807, 13672, 1829, 39896, 13672, 1829, 43242, 8315, 5551, 25513, 3615, 20328, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 7251, 3555, 4587, 7578, 34105, 264, 4295, 307, 32330, 466, 3714, 9957, 22807], "avg_logprob": -0.23356331788100204, "compression_ratio": 1.4887640449438202, "no_speech_prob": 0.0, "words": [{"start": 2349.17, "end": 2349.93, "word": "يبقى", "probability": 0.78485107421875}, {"start": 2349.93, "end": 2350.27, "word": " أنا", "probability": 0.360595703125}, {"start": 2350.27, "end": 2350.73, "word": " بدي", "probability": 0.743896484375}, {"start": 2350.73, "end": 2351.37, "word": " أشيل", "probability": 0.8992513020833334}, {"start": 2351.37, "end": 2351.89, "word": " R", "probability": 0.4609375}, {"start": 2351.89, "end": 2352.11, "word": " و", "probability": 0.931640625}, {"start": 2352.11, "end": 2352.57, "word": " أحط", "probability": 0.6829427083333334}, {"start": 2352.57, "end": 2353.33, "word": " مكانها", "probability": 0.9832356770833334}, {"start": 2353.33, "end": 2354.27, "word": " سالب", "probability": 0.755859375}, {"start": 2354.27, "end": 2354.73, "word": " R", "probability": 0.880859375}, {"start": 2354.73, "end": 2355.65, "word": " إيش", "probability": 0.704345703125}, {"start": 2355.65, "end": 2355.97, "word": " طالع", "probability": 0.8831380208333334}, {"start": 2355.97, "end": 2357.21, "word": " عندي؟", "probability": 0.7058919270833334}, {"start": 2357.21, "end": 2357.65, "word": " R", "probability": 0.828125}, {"start": 2357.65, "end": 2358.67, "word": " تربية", "probability": 0.68408203125}, {"start": 2358.67, "end": 2359.75, "word": " نفسها", "probability": 0.99169921875}, {"start": 2359.75, "end": 2360.15, "word": " اللي", "probability": 0.891845703125}, {"start": 2360.15, "end": 2360.37, "word": " هي", "probability": 0.8427734375}, {"start": 2360.37, "end": 2361.33, "word": " مين؟", "probability": 0.752685546875}, {"start": 2361.33, "end": 2361.71, "word": " اللي", "probability": 0.99072265625}, {"start": 2361.71, "end": 2361.87, "word": " هي", "probability": 0.6279296875}, {"start": 2361.87, "end": 2362.15, "word": " اللي", "probability": 0.990234375}, {"start": 2362.15, "end": 2362.81, "word": " عندنا", "probability": 0.869140625}, {"start": 2362.81, "end": 2363.59, "word": " أربع", "probability": 0.7019856770833334}, {"start": 2363.59, "end": 2364.39, "word": " صين", "probability": 0.7423095703125}, {"start": 2364.39, "end": 2365.03, "word": " اتنين", "probability": 0.93603515625}, {"start": 2365.03, "end": 2365.77, "word": " ثيتا", "probability": 0.7931315104166666}, {"start": 2365.77, "end": 2366.75, "word": " يبقى", "probability": 0.968017578125}, {"start": 2366.75, "end": 2367.15, "word": " هنا", "probability": 0.9892578125}, {"start": 2367.15, "end": 2367.53, "word": " the", "probability": 0.281494140625}, {"start": 2367.53, "end": 2368.63, "word": " graph", "probability": 0.97802734375}, {"start": 2368.63, "end": 2370.97, "word": " is", "probability": 0.95458984375}, {"start": 2370.97, "end": 2372.65, "word": " symmetric", "probability": 0.87646484375}, {"start": 2372.65, "end": 2376.43, "word": " about", "probability": 0.93994140625}, {"start": 2376.43, "end": 2378.27, "word": " مين؟", "probability": 0.93701171875}], "temperature": 1.0}, {"id": 103, "seek": 240426, "start": 2380.62, "end": 2404.26, "text": "يبقى فيه تمثل بالنسبة لنقطة الأصل يبقى خلاص نبحثنا السيمتري مش ضايل إلا نعمل الجدول ومن الجدول نروح نرسم يبقى هذا ثيتا وهنا R ماعرفش نحط R ولا R تربيع", "tokens": [1829, 3555, 4587, 7578, 8978, 3224, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 1863, 47432, 3660, 16247, 36520, 7251, 3555, 4587, 7578, 16490, 1211, 33546, 8717, 49628, 12984, 8315, 21136, 32640, 2655, 16572, 37893, 48812, 995, 26895, 11933, 15040, 8717, 25957, 1211, 25724, 3215, 12610, 4032, 27842, 25724, 3215, 12610, 8717, 32887, 5016, 8717, 2288, 38251, 7251, 3555, 4587, 7578, 23758, 38637, 36081, 995, 37037, 8315, 497, 19446, 3615, 28480, 8592, 8717, 5016, 9566, 497, 49429, 497, 6055, 2288, 21292, 3615], "avg_logprob": -0.32699547187391537, "compression_ratio": 1.675, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2380.62, "end": 2381.88, "word": "يبقى", "probability": 0.733245849609375}, {"start": 2381.88, "end": 2382.26, "word": " فيه", "probability": 0.472869873046875}, {"start": 2382.26, "end": 2382.78, "word": " تمثل", "probability": 0.9169921875}, {"start": 2382.78, "end": 2383.32, "word": " بالنسبة", "probability": 0.92724609375}, {"start": 2383.32, "end": 2383.94, "word": " لنقطة", "probability": 0.9388427734375}, {"start": 2383.94, "end": 2384.44, "word": " الأصل", "probability": 0.80859375}, {"start": 2384.44, "end": 2385.4, "word": " يبقى", "probability": 0.8876953125}, {"start": 2385.4, "end": 2385.78, "word": " خلاص", "probability": 0.80078125}, {"start": 2385.78, "end": 2386.4, "word": " نبحثنا", "probability": 0.748291015625}, {"start": 2386.4, "end": 2387.04, "word": " السيمتري", "probability": 0.69964599609375}, {"start": 2387.04, "end": 2387.76, "word": " مش", "probability": 0.630859375}, {"start": 2387.76, "end": 2388.12, "word": " ضايل", "probability": 0.82958984375}, {"start": 2388.12, "end": 2388.4, "word": " إلا", "probability": 0.833251953125}, {"start": 2388.4, "end": 2388.94, "word": " نعمل", "probability": 0.98095703125}, {"start": 2388.94, "end": 2389.86, "word": " الجدول", "probability": 0.8572591145833334}, {"start": 2389.86, "end": 2390.92, "word": " ومن", "probability": 0.727783203125}, {"start": 2390.92, "end": 2391.82, "word": " الجدول", "probability": 0.9762369791666666}, {"start": 2391.82, "end": 2393.22, "word": " نروح", "probability": 0.55078125}, {"start": 2393.22, "end": 2393.76, "word": " نرسم", "probability": 0.9607747395833334}, {"start": 2393.76, "end": 2397.06, "word": " يبقى", "probability": 0.976806640625}, {"start": 2397.06, "end": 2397.58, "word": " هذا", "probability": 0.853515625}, {"start": 2397.58, "end": 2399.0, "word": " ثيتا", "probability": 0.7054850260416666}, {"start": 2399.0, "end": 2400.12, "word": " وهنا", "probability": 0.8779296875}, {"start": 2400.12, "end": 2400.8, "word": " R", "probability": 0.517578125}, {"start": 2400.8, "end": 2401.8, "word": " ماعرفش", "probability": 0.392425537109375}, {"start": 2401.8, "end": 2402.6, "word": " نحط", "probability": 0.5808919270833334}, {"start": 2402.6, "end": 2402.98, "word": " R", "probability": 0.5302734375}, {"start": 2402.98, "end": 2403.24, "word": " ولا", "probability": 0.7841796875}, {"start": 2403.24, "end": 2403.56, "word": " R", "probability": 0.630859375}, {"start": 2403.56, "end": 2404.26, "word": " تربيع", "probability": 0.7777099609375}], "temperature": 1.0}, {"id": 104, "seek": 243541, "start": 2406.49, "end": 2435.41, "text": "بحط R صح R وليس أر تربية لأنهم يقولون نقبة دائما في ال polar هي R وثيتا وليست R تربية وثيتا يبقى احنا بدنا R معناته بدنا نروح ناخد الجذر التربية إلى المقدار اللي عندنا لو زاد او ناقص اتنين الجذر التربية اللي ي assign اتنين ثيتا بهذا الشكل اظن الشجهة انتهينا منها برضه", "tokens": [3555, 5016, 9566, 497, 20328, 5016, 497, 4032, 20292, 3794, 5551, 2288, 6055, 25513, 10632, 5296, 33456, 16095, 7251, 39648, 11536, 8717, 4587, 49401, 11778, 16373, 15042, 8978, 2423, 12367, 39896, 497, 4032, 12984, 36081, 995, 4032, 20292, 14851, 497, 6055, 25513, 10632, 4032, 12984, 36081, 995, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 47525, 8315, 497, 20449, 8315, 47395, 47525, 8315, 8717, 32887, 5016, 8717, 47283, 3215, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 9673, 28543, 9640, 13672, 1829, 43242, 8315, 45164, 30767, 18513, 1975, 2407, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 25724, 8848, 2288, 16712, 25513, 10632, 13672, 1829, 7251, 6269, 1975, 2655, 1863, 9957, 38637, 36081, 995, 39627, 15730, 25124, 28820, 1975, 19913, 1863, 25124, 7435, 3224, 3660, 16472, 47395, 1829, 8315, 9154, 11296, 4724, 43042, 3224], "avg_logprob": -0.25704887845462426, "compression_ratio": 1.8825910931174088, "no_speech_prob": 0.0, "words": [{"start": 2406.49, "end": 2406.97, "word": "بحط", "probability": 0.3605753580729167}, {"start": 2406.97, "end": 2407.35, "word": " R", "probability": 0.46923828125}, {"start": 2407.35, "end": 2407.81, "word": " صح", "probability": 0.842529296875}, {"start": 2407.81, "end": 2408.13, "word": " R", "probability": 0.5146484375}, {"start": 2408.13, "end": 2408.57, "word": " وليس", "probability": 0.931640625}, {"start": 2408.57, "end": 2408.75, "word": " أر", "probability": 0.521240234375}, {"start": 2408.75, "end": 2408.91, "word": " تربية", "probability": 0.3777669270833333}, {"start": 2408.91, "end": 2409.21, "word": " لأنهم", "probability": 0.5132649739583334}, {"start": 2409.21, "end": 2409.51, "word": " يقولون", "probability": 0.82373046875}, {"start": 2409.51, "end": 2410.07, "word": " نقبة", "probability": 0.6346842447916666}, {"start": 2410.07, "end": 2410.47, "word": " دائما", "probability": 0.7638346354166666}, {"start": 2410.47, "end": 2410.73, "word": " في", "probability": 0.89404296875}, {"start": 2410.73, "end": 2410.89, "word": " ال", "probability": 0.826171875}, {"start": 2410.89, "end": 2411.27, "word": " polar", "probability": 0.544921875}, {"start": 2411.27, "end": 2411.87, "word": " هي", "probability": 0.728515625}, {"start": 2411.87, "end": 2412.43, "word": " R", "probability": 0.91943359375}, {"start": 2412.43, "end": 2413.09, "word": " وثيتا", "probability": 0.729522705078125}, {"start": 2413.09, "end": 2413.75, "word": " وليست", "probability": 0.8751627604166666}, {"start": 2413.75, "end": 2414.11, "word": " R", "probability": 0.759765625}, {"start": 2414.11, "end": 2414.83, "word": " تربية", "probability": 0.90185546875}, {"start": 2414.83, "end": 2415.99, "word": " وثيتا", "probability": 0.878173828125}, {"start": 2415.99, "end": 2416.55, "word": " يبقى", "probability": 0.662445068359375}, {"start": 2416.55, "end": 2416.95, "word": " احنا", "probability": 0.89501953125}, {"start": 2416.95, "end": 2417.47, "word": " بدنا", "probability": 0.90673828125}, {"start": 2417.47, "end": 2417.77, "word": " R", "probability": 0.880859375}, {"start": 2417.77, "end": 2418.27, "word": " معناته", "probability": 0.9070638020833334}, {"start": 2418.27, "end": 2418.63, "word": " بدنا", "probability": 0.90771484375}, {"start": 2418.63, "end": 2419.13, "word": " نروح", "probability": 0.9583333333333334}, {"start": 2419.13, "end": 2420.03, "word": " ناخد", "probability": 0.9469401041666666}, {"start": 2420.03, "end": 2420.75, "word": " الجذر", "probability": 0.7638346354166666}, {"start": 2420.75, "end": 2421.75, "word": " التربية", "probability": 0.8834635416666666}, {"start": 2421.75, "end": 2422.03, "word": " إلى", "probability": 0.7626953125}, {"start": 2422.03, "end": 2422.99, "word": " المقدار", "probability": 0.9830729166666666}, {"start": 2422.99, "end": 2423.25, "word": " اللي", "probability": 0.8427734375}, {"start": 2423.25, "end": 2423.91, "word": " عندنا", "probability": 0.98779296875}, {"start": 2423.91, "end": 2424.45, "word": " لو", "probability": 0.5166015625}, {"start": 2424.45, "end": 2424.83, "word": " زاد", "probability": 0.920654296875}, {"start": 2424.83, "end": 2425.03, "word": " او", "probability": 0.817138671875}, {"start": 2425.03, "end": 2425.53, "word": " ناقص", "probability": 0.9788818359375}, {"start": 2425.53, "end": 2425.93, "word": " اتنين", "probability": 0.8922119140625}, {"start": 2425.93, "end": 2426.47, "word": " الجذر", "probability": 0.9443359375}, {"start": 2426.47, "end": 2427.13, "word": " التربية", "probability": 0.9850260416666666}, {"start": 2427.13, "end": 2427.39, "word": " اللي", "probability": 0.79833984375}, {"start": 2427.39, "end": 2427.53, "word": " ي", "probability": 0.6572265625}, {"start": 2427.53, "end": 2428.19, "word": " assign", "probability": 0.70849609375}, {"start": 2428.19, "end": 2429.25, "word": " اتنين", "probability": 0.9688720703125}, {"start": 2429.25, "end": 2430.27, "word": " ثيتا", "probability": 0.8408203125}, {"start": 2430.27, "end": 2430.97, "word": " بهذا", "probability": 0.935302734375}, {"start": 2430.97, "end": 2431.61, "word": " الشكل", "probability": 0.9892578125}, {"start": 2431.61, "end": 2433.21, "word": " اظن", "probability": 0.8603515625}, {"start": 2433.21, "end": 2433.85, "word": " الشجهة", "probability": 0.680023193359375}, {"start": 2433.85, "end": 2434.51, "word": " انتهينا", "probability": 0.764892578125}, {"start": 2434.51, "end": 2434.85, "word": " منها", "probability": 0.98583984375}, {"start": 2434.85, "end": 2435.41, "word": " برضه", "probability": 0.9783528645833334}], "temperature": 1.0}, {"id": 105, "seek": 246328, "start": 2450.56, "end": 2463.28, "text": "لاحظ المرة هذه انا تعمت احل السؤال بدلالة الـSin وليس بدلالة الـCos لان السؤال اللى جابله حلناه بدلالة الـCos اذا نشوف الـsymmetry كيف بيصير فيه", "tokens": [15040, 5016, 19913, 9673, 25720, 29538, 1975, 8315, 37279, 2304, 2655, 1975, 5016, 1211, 21136, 33604, 6027, 47525, 1211, 6027, 3660, 2423, 39184, 50, 259, 4032, 20292, 3794, 47525, 1211, 6027, 3660, 2423, 39184, 34, 329, 5296, 7649, 21136, 33604, 6027, 13672, 7578, 10874, 16758, 43761, 11331, 1211, 8315, 3224, 47525, 1211, 6027, 3660, 2423, 39184, 34, 329, 1975, 15730, 8717, 8592, 38688, 2423, 39184, 3187, 2174, 9889, 9122, 33911, 4724, 1829, 9381, 13546, 8978, 3224], "avg_logprob": -0.27150973406704987, "compression_ratio": 1.6357615894039734, "no_speech_prob": 0.0, "words": [{"start": 2450.56, "end": 2451.48, "word": "لاحظ", "probability": 0.7274983723958334}, {"start": 2451.48, "end": 2452.4, "word": " المرة", "probability": 0.4959716796875}, {"start": 2452.4, "end": 2452.64, "word": " هذه", "probability": 0.724609375}, {"start": 2452.64, "end": 2452.96, "word": " انا", "probability": 0.7392578125}, {"start": 2452.96, "end": 2453.82, "word": " تعمت", "probability": 0.6328938802083334}, {"start": 2453.82, "end": 2454.24, "word": " احل", "probability": 0.8264973958333334}, {"start": 2454.24, "end": 2454.9, "word": " السؤال", "probability": 0.7998046875}, {"start": 2454.9, "end": 2455.58, "word": " بدلالة", "probability": 0.9232177734375}, {"start": 2455.58, "end": 2456.2, "word": " الـSin", "probability": 0.57550048828125}, {"start": 2456.2, "end": 2456.86, "word": " وليس", "probability": 0.9129231770833334}, {"start": 2456.86, "end": 2457.4, "word": " بدلالة", "probability": 0.9864501953125}, {"start": 2457.4, "end": 2457.86, "word": " الـCos", "probability": 0.820556640625}, {"start": 2457.86, "end": 2458.12, "word": " لان", "probability": 0.718994140625}, {"start": 2458.12, "end": 2458.42, "word": " السؤال", "probability": 0.99169921875}, {"start": 2458.42, "end": 2458.56, "word": " اللى", "probability": 0.708251953125}, {"start": 2458.56, "end": 2459.12, "word": " جابله", "probability": 0.8349609375}, {"start": 2459.12, "end": 2460.06, "word": " حلناه", "probability": 0.9019775390625}, {"start": 2460.06, "end": 2460.36, "word": " بدلالة", "probability": 0.985595703125}, {"start": 2460.36, "end": 2461.0, "word": " الـCos", "probability": 0.941162109375}, {"start": 2461.0, "end": 2461.36, "word": " اذا", "probability": 0.69677734375}, {"start": 2461.36, "end": 2461.74, "word": " نشوف", "probability": 0.8289388020833334}, {"start": 2461.74, "end": 2462.28, "word": " الـsymmetry", "probability": 0.669287109375}, {"start": 2462.28, "end": 2462.52, "word": " كيف", "probability": 0.961181640625}, {"start": 2462.52, "end": 2462.98, "word": " بيصير", "probability": 0.7071533203125}, {"start": 2462.98, "end": 2463.28, "word": " فيه", "probability": 0.96533203125}], "temperature": 1.0}, {"id": 106, "seek": 248501, "start": 2463.93, "end": 2485.01, "text": "طيب، بدأ أخد θ تساوي زيرو، صين زيرو بقداش؟ تزيرو، يبقى بدنا نبدأ من نقطة الأصل، بعد هيك، لو قلت لك مثلا خمستاشر درجة طب ليش خمستاشر، ماتمشي تلاتين زي قبل، لأن هذه مضروبة في اثنين، و لو كانت", "tokens": [9566, 1829, 3555, 12399, 47525, 10721, 5551, 9778, 3215, 12622, 6055, 3794, 995, 45865, 30767, 13546, 2407, 12399, 20328, 9957, 30767, 13546, 2407, 4724, 28543, 33599, 22807, 6055, 11622, 13546, 2407, 12399, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 44510, 10721, 9154, 8717, 47432, 3660, 16247, 36520, 12399, 39182, 39896, 4117, 12399, 45164, 12174, 1211, 2655, 5296, 4117, 50113, 15040, 16490, 2304, 14851, 33599, 2288, 11778, 47341, 3660, 23032, 3555, 32239, 8592, 16490, 2304, 14851, 33599, 2288, 12399, 3714, 9307, 2304, 8592, 1829, 6055, 1211, 9307, 9957, 30767, 1829, 12174, 36150, 12399, 5296, 33456, 29538, 3714, 11242, 32887, 49401, 8978, 1975, 12984, 1863, 9957, 12399, 4032, 45164, 25961, 2655], "avg_logprob": -0.2713068195364692, "compression_ratio": 1.7435897435897436, "no_speech_prob": 0.0, "words": [{"start": 2463.93, "end": 2464.85, "word": "طيب،", "probability": 0.603302001953125}, {"start": 2464.85, "end": 2465.21, "word": " بدأ", "probability": 0.4854736328125}, {"start": 2465.21, "end": 2465.49, "word": " أخد", "probability": 0.77197265625}, {"start": 2465.49, "end": 2465.77, "word": " θ", "probability": 0.46875}, {"start": 2465.77, "end": 2466.57, "word": " تساوي", "probability": 0.75958251953125}, {"start": 2466.57, "end": 2467.37, "word": " زيرو،", "probability": 0.585906982421875}, {"start": 2467.37, "end": 2467.89, "word": " صين", "probability": 0.6864013671875}, {"start": 2467.89, "end": 2468.23, "word": " زيرو", "probability": 0.92626953125}, {"start": 2468.23, "end": 2469.77, "word": " بقداش؟", "probability": 0.8460693359375}, {"start": 2469.77, "end": 2470.59, "word": " تزيرو،", "probability": 0.507958984375}, {"start": 2470.59, "end": 2470.91, "word": " يبقى", "probability": 0.78857421875}, {"start": 2470.91, "end": 2471.27, "word": " بدنا", "probability": 0.756591796875}, {"start": 2471.27, "end": 2471.63, "word": " نبدأ", "probability": 0.9505208333333334}, {"start": 2471.63, "end": 2471.75, "word": " من", "probability": 0.99560546875}, {"start": 2471.75, "end": 2472.21, "word": " نقطة", "probability": 0.9482421875}, {"start": 2472.21, "end": 2473.15, "word": " الأصل،", "probability": 0.8279622395833334}, {"start": 2473.15, "end": 2473.63, "word": " بعد", "probability": 0.88623046875}, {"start": 2473.63, "end": 2474.47, "word": " هيك،", "probability": 0.7985026041666666}, {"start": 2474.47, "end": 2474.79, "word": " لو", "probability": 0.98193359375}, {"start": 2474.79, "end": 2475.17, "word": " قلت", "probability": 0.8722330729166666}, {"start": 2475.17, "end": 2475.45, "word": " لك", "probability": 0.7266845703125}, {"start": 2475.45, "end": 2475.97, "word": " مثلا", "probability": 0.980712890625}, {"start": 2475.97, "end": 2477.07, "word": " خمستاشر", "probability": 0.742431640625}, {"start": 2477.07, "end": 2477.65, "word": " درجة", "probability": 0.99462890625}, {"start": 2477.65, "end": 2479.23, "word": " طب", "probability": 0.5963134765625}, {"start": 2479.23, "end": 2479.45, "word": " ليش", "probability": 0.902099609375}, {"start": 2479.45, "end": 2480.23, "word": " خمستاشر،", "probability": 0.8878173828125}, {"start": 2480.23, "end": 2480.71, "word": " ماتمشي", "probability": 0.8736328125}, {"start": 2480.71, "end": 2481.19, "word": " تلاتين", "probability": 0.9642333984375}, {"start": 2481.19, "end": 2481.47, "word": " زي", "probability": 0.987060546875}, {"start": 2481.47, "end": 2482.29, "word": " قبل،", "probability": 0.89453125}, {"start": 2482.29, "end": 2482.59, "word": " لأن", "probability": 0.852294921875}, {"start": 2482.59, "end": 2482.85, "word": " هذه", "probability": 0.57177734375}, {"start": 2482.85, "end": 2483.39, "word": " مضروبة", "probability": 0.950439453125}, {"start": 2483.39, "end": 2483.55, "word": " في", "probability": 0.97021484375}, {"start": 2483.55, "end": 2484.03, "word": " اثنين،", "probability": 0.87900390625}, {"start": 2484.03, "end": 2484.13, "word": " و", "probability": 0.6689453125}, {"start": 2484.13, "end": 2484.33, "word": " لو", "probability": 0.76416015625}, {"start": 2484.33, "end": 2485.01, "word": " كانت", "probability": 0.990234375}], "temperature": 1.0}, {"id": 107, "seek": 251371, "start": 2485.11, "end": 2513.71, "text": "سين تلاتة تيته ببدأ بعشر درجات يبقى أنا ببدأ حسب الزاوية اللي عندي لإن خمستاش في اتنين بتلاتين جا تلاتين بنص تحت الجدر يبقى اتنين في واحد على جدر اتنين اضرب في جدر اتنين على جدر اتنين بظل بس جداش جدر اتنين هو واحد صحيح واربعة من عشرة يبقى زائد او ناقص واحد صحيح واربعة من عشرة", "tokens": [3794, 9957, 6055, 1211, 9307, 3660, 6055, 36081, 3224, 4724, 44510, 10721, 45030, 46309, 11778, 47341, 9307, 7251, 3555, 4587, 7578, 41850, 4724, 44510, 10721, 11331, 35457, 6024, 110, 995, 2407, 10632, 13672, 1829, 18871, 16254, 5296, 28814, 1863, 16490, 2304, 14851, 33599, 8978, 1975, 2655, 1863, 9957, 4724, 2655, 1211, 9307, 9957, 10874, 995, 6055, 1211, 9307, 9957, 44945, 9381, 6055, 33753, 25724, 3215, 2288, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 8978, 36764, 24401, 15844, 10874, 3215, 2288, 1975, 2655, 1863, 9957, 1975, 11242, 25513, 8978, 10874, 3215, 2288, 1975, 2655, 1863, 9957, 15844, 10874, 3215, 2288, 1975, 2655, 1863, 9957, 4724, 19913, 1211, 4724, 3794, 10874, 3215, 33599, 10874, 3215, 2288, 1975, 2655, 1863, 9957, 31439, 36764, 24401, 20328, 5016, 1829, 5016, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 36764, 24401, 20328, 5016, 1829, 5016, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720], "avg_logprob": -0.15615354864685624, "compression_ratio": 2.3507109004739335, "no_speech_prob": 0.0, "words": [{"start": 2485.11, "end": 2485.69, "word": "سين", "probability": 0.240631103515625}, {"start": 2485.69, "end": 2486.41, "word": " تلاتة", "probability": 0.8624267578125}, {"start": 2486.41, "end": 2486.75, "word": " تيته", "probability": 0.464111328125}, {"start": 2486.75, "end": 2487.07, "word": " ببدأ", "probability": 0.6119791666666666}, {"start": 2487.07, "end": 2487.47, "word": " بعشر", "probability": 0.63671875}, {"start": 2487.47, "end": 2488.33, "word": " درجات", "probability": 0.9894205729166666}, {"start": 2488.33, "end": 2489.07, "word": " يبقى", "probability": 0.862548828125}, {"start": 2489.07, "end": 2489.21, "word": " أنا", "probability": 0.467041015625}, {"start": 2489.21, "end": 2489.57, "word": " ببدأ", "probability": 0.9705403645833334}, {"start": 2489.57, "end": 2489.99, "word": " حسب", "probability": 0.97705078125}, {"start": 2489.99, "end": 2490.57, "word": " الزاوية", "probability": 0.9337890625}, {"start": 2490.57, "end": 2490.75, "word": " اللي", "probability": 0.746337890625}, {"start": 2490.75, "end": 2491.11, "word": " عندي", "probability": 0.751953125}, {"start": 2491.11, "end": 2492.03, "word": " لإن", "probability": 0.8411458333333334}, {"start": 2492.03, "end": 2492.97, "word": " خمستاش", "probability": 0.769775390625}, {"start": 2492.97, "end": 2493.15, "word": " في", "probability": 0.78662109375}, {"start": 2493.15, "end": 2493.51, "word": " اتنين", "probability": 0.9512939453125}, {"start": 2493.51, "end": 2494.09, "word": " بتلاتين", "probability": 0.8533203125}, {"start": 2494.09, "end": 2494.39, "word": " جا", "probability": 0.6947021484375}, {"start": 2494.39, "end": 2495.25, "word": " تلاتين", "probability": 0.982666015625}, {"start": 2495.25, "end": 2496.19, "word": " بنص", "probability": 0.95458984375}, {"start": 2496.19, "end": 2497.07, "word": " تحت", "probability": 0.970947265625}, {"start": 2497.07, "end": 2497.49, "word": " الجدر", "probability": 0.8229166666666666}, {"start": 2497.49, "end": 2497.81, "word": " يبقى", "probability": 0.994140625}, {"start": 2497.81, "end": 2498.55, "word": " اتنين", "probability": 0.964111328125}, {"start": 2498.55, "end": 2498.79, "word": " في", "probability": 0.93359375}, {"start": 2498.79, "end": 2499.23, "word": " واحد", "probability": 0.987060546875}, {"start": 2499.23, "end": 2499.55, "word": " على", "probability": 0.810546875}, {"start": 2499.55, "end": 2500.01, "word": " جدر", "probability": 0.9695638020833334}, {"start": 2500.01, "end": 2500.45, "word": " اتنين", "probability": 0.98876953125}, {"start": 2500.45, "end": 2501.27, "word": " اضرب", "probability": 0.89892578125}, {"start": 2501.27, "end": 2501.47, "word": " في", "probability": 0.9599609375}, {"start": 2501.47, "end": 2501.77, "word": " جدر", "probability": 0.9822591145833334}, {"start": 2501.77, "end": 2502.07, "word": " اتنين", "probability": 0.993896484375}, {"start": 2502.07, "end": 2502.25, "word": " على", "probability": 0.876953125}, {"start": 2502.25, "end": 2502.57, "word": " جدر", "probability": 0.9973958333333334}, {"start": 2502.57, "end": 2502.77, "word": " اتنين", "probability": 0.9947509765625}, {"start": 2502.77, "end": 2503.15, "word": " بظل", "probability": 0.6874186197916666}, {"start": 2503.15, "end": 2503.37, "word": " بس", "probability": 0.91650390625}, {"start": 2503.37, "end": 2504.03, "word": " جداش", "probability": 0.7315266927083334}, {"start": 2504.03, "end": 2505.03, "word": " جدر", "probability": 0.9650065104166666}, {"start": 2505.03, "end": 2505.45, "word": " اتنين", "probability": 0.994873046875}, {"start": 2505.45, "end": 2505.65, "word": " هو", "probability": 0.425537109375}, {"start": 2505.65, "end": 2505.97, "word": " واحد", "probability": 0.990478515625}, {"start": 2505.97, "end": 2506.65, "word": " صحيح", "probability": 0.995849609375}, {"start": 2506.65, "end": 2507.53, "word": " واربعة", "probability": 0.7794189453125}, {"start": 2507.53, "end": 2507.75, "word": " من", "probability": 0.99365234375}, {"start": 2507.75, "end": 2508.33, "word": " عشرة", "probability": 0.9060872395833334}, {"start": 2508.33, "end": 2509.21, "word": " يبقى", "probability": 0.9935302734375}, {"start": 2509.21, "end": 2509.93, "word": " زائد", "probability": 0.9324544270833334}, {"start": 2509.93, "end": 2510.27, "word": " او", "probability": 0.885498046875}, {"start": 2510.27, "end": 2510.99, "word": " ناقص", "probability": 0.991943359375}, {"start": 2510.99, "end": 2511.83, "word": " واحد", "probability": 0.969482421875}, {"start": 2511.83, "end": 2512.47, "word": " صحيح", "probability": 0.99755859375}, {"start": 2512.47, "end": 2513.05, "word": " واربعة", "probability": 0.89990234375}, {"start": 2513.05, "end": 2513.25, "word": " من", "probability": 0.99658203125}, {"start": 2513.25, "end": 2513.71, "word": " عشرة", "probability": 0.8971354166666666}], "temperature": 1.0}, {"id": 108, "seek": 254358, "start": 2514.22, "end": 2543.58, "text": "يبقى حتى انا يا شباب انا جيبت كام نقطة تلاتة تلاتة زائد ونقص يبقى جيبت تلات نقاط على المنحنة طيب بعد الخمستاشة لو قلت مثلا تلاتين ها تلاتين في اتنين ستين جيب الستين في الجدر التلاتة على اتنين تحت الجدر جدر الجدر التلاتة يعني انت بتشغل ال calculator", "tokens": [1829, 3555, 4587, 7578, 11331, 49975, 1975, 8315, 35186, 13412, 3555, 16758, 1975, 8315, 10874, 1829, 3555, 2655, 9122, 10943, 8717, 47432, 3660, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 4032, 1863, 4587, 9381, 7251, 3555, 4587, 7578, 10874, 1829, 3555, 2655, 6055, 1211, 9307, 8717, 4587, 41193, 15844, 9673, 1863, 5016, 1863, 3660, 23032, 1829, 3555, 39182, 33962, 2304, 14851, 33599, 3660, 45164, 12174, 1211, 2655, 50113, 15040, 6055, 1211, 9307, 9957, 8032, 995, 6055, 1211, 9307, 9957, 8978, 1975, 2655, 1863, 9957, 8608, 2655, 9957, 10874, 1829, 3555, 21136, 2655, 9957, 8978, 25724, 3215, 2288, 16712, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 6055, 33753, 25724, 3215, 2288, 10874, 3215, 2288, 25724, 3215, 2288, 16712, 1211, 9307, 3660, 37495, 22653, 16472, 2655, 39894, 8592, 17082, 1211, 2423, 24993], "avg_logprob": -0.21897978423272862, "compression_ratio": 2.041860465116279, "no_speech_prob": 0.0, "words": [{"start": 2514.22, "end": 2514.62, "word": "يبقى", "probability": 0.683441162109375}, {"start": 2514.62, "end": 2514.96, "word": " حتى", "probability": 0.89990234375}, {"start": 2514.96, "end": 2515.28, "word": " انا", "probability": 0.5498046875}, {"start": 2515.28, "end": 2515.48, "word": " يا", "probability": 0.5576171875}, {"start": 2515.48, "end": 2515.68, "word": " شباب", "probability": 0.98779296875}, {"start": 2515.68, "end": 2515.98, "word": " انا", "probability": 0.81884765625}, {"start": 2515.98, "end": 2516.32, "word": " جيبت", "probability": 0.826904296875}, {"start": 2516.32, "end": 2516.62, "word": " كام", "probability": 0.901611328125}, {"start": 2516.62, "end": 2517.78, "word": " نقطة", "probability": 0.9820963541666666}, {"start": 2517.78, "end": 2520.1, "word": " تلاتة", "probability": 0.8529052734375}, {"start": 2520.1, "end": 2521.42, "word": " تلاتة", "probability": 0.9063720703125}, {"start": 2521.42, "end": 2522.2, "word": " زائد", "probability": 0.8922526041666666}, {"start": 2522.2, "end": 2522.88, "word": " ونقص", "probability": 0.849365234375}, {"start": 2522.88, "end": 2523.1, "word": " يبقى", "probability": 0.8538818359375}, {"start": 2523.1, "end": 2523.42, "word": " جيبت", "probability": 0.8634033203125}, {"start": 2523.42, "end": 2523.76, "word": " تلات", "probability": 0.9435221354166666}, {"start": 2523.76, "end": 2524.26, "word": " نقاط", "probability": 0.8806966145833334}, {"start": 2524.26, "end": 2524.48, "word": " على", "probability": 0.81884765625}, {"start": 2524.48, "end": 2525.2, "word": " المنحنة", "probability": 0.769921875}, {"start": 2525.2, "end": 2526.24, "word": " طيب", "probability": 0.9480794270833334}, {"start": 2526.24, "end": 2526.6, "word": " بعد", "probability": 0.79443359375}, {"start": 2526.6, "end": 2527.8, "word": " الخمستاشة", "probability": 0.6853515625}, {"start": 2527.8, "end": 2528.28, "word": " لو", "probability": 0.93408203125}, {"start": 2528.28, "end": 2528.72, "word": " قلت", "probability": 0.7428385416666666}, {"start": 2528.72, "end": 2529.32, "word": " مثلا", "probability": 0.9794921875}, {"start": 2529.32, "end": 2530.38, "word": " تلاتين", "probability": 0.9544677734375}, {"start": 2530.38, "end": 2531.56, "word": " ها", "probability": 0.41253662109375}, {"start": 2531.56, "end": 2532.02, "word": " تلاتين", "probability": 0.9810791015625}, {"start": 2532.02, "end": 2532.16, "word": " في", "probability": 0.802734375}, {"start": 2532.16, "end": 2532.66, "word": " اتنين", "probability": 0.97314453125}, {"start": 2532.66, "end": 2534.1, "word": " ستين", "probability": 0.9373372395833334}, {"start": 2534.1, "end": 2534.72, "word": " جيب", "probability": 0.9143880208333334}, {"start": 2534.72, "end": 2535.5, "word": " الستين", "probability": 0.8624674479166666}, {"start": 2535.5, "end": 2536.16, "word": " في", "probability": 0.4404296875}, {"start": 2536.16, "end": 2536.76, "word": " الجدر", "probability": 0.8099772135416666}, {"start": 2536.76, "end": 2537.46, "word": " التلاتة", "probability": 0.9443359375}, {"start": 2537.46, "end": 2537.7, "word": " على", "probability": 0.80078125}, {"start": 2537.7, "end": 2538.22, "word": " اتنين", "probability": 0.9815673828125}, {"start": 2538.22, "end": 2538.92, "word": " تحت", "probability": 0.986328125}, {"start": 2538.92, "end": 2539.86, "word": " الجدر", "probability": 0.9851888020833334}, {"start": 2539.86, "end": 2540.72, "word": " جدر", "probability": 0.8562825520833334}, {"start": 2540.72, "end": 2541.3, "word": " الجدر", "probability": 0.9820963541666666}, {"start": 2541.3, "end": 2541.92, "word": " التلاتة", "probability": 0.9713134765625}, {"start": 2541.92, "end": 2542.1, "word": " يعني", "probability": 0.541473388671875}, {"start": 2542.1, "end": 2542.26, "word": " انت", "probability": 0.466552734375}, {"start": 2542.26, "end": 2542.94, "word": " بتشغل", "probability": 0.6640625}, {"start": 2542.94, "end": 2543.08, "word": " ال", "probability": 0.82666015625}, {"start": 2543.08, "end": 2543.58, "word": " calculator", "probability": 0.7177734375}], "temperature": 1.0}, {"id": 109, "seek": 256700, "start": 2544.38, "end": 2567.0, "text": "لكن ايش رايك؟ بلها التلاتين، خش على الخمسة واربعين، شو بيصير يعني؟ خمسة واربعين في اتنين، جاء تسعين، يبقى بيصير زائد او ناقص اتنين، ماعناش calculator، زائد او ناقص اتنين، والفرقات بسيطة، مش كتير، واحد واربع واناشر، اتنين جريمات على بعض", "tokens": [1211, 19452, 1975, 1829, 8592, 12602, 47302, 4117, 22807, 4724, 1211, 11296, 16712, 1211, 9307, 9957, 12399, 16490, 8592, 15844, 33962, 2304, 3794, 3660, 4032, 9640, 3555, 3615, 9957, 12399, 13412, 2407, 4724, 1829, 9381, 13546, 37495, 22653, 22807, 16490, 2304, 3794, 3660, 4032, 9640, 3555, 3615, 9957, 8978, 1975, 2655, 1863, 9957, 12399, 10874, 16606, 6055, 3794, 3615, 9957, 12399, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 12399, 19446, 3615, 1863, 33599, 24993, 12399, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 12399, 16070, 5172, 2288, 4587, 9307, 4724, 3794, 1829, 9566, 3660, 12399, 37893, 9122, 2655, 13546, 12399, 36764, 24401, 4032, 9640, 3555, 3615, 4032, 7649, 33599, 2288, 12399, 1975, 2655, 1863, 9957, 10874, 16572, 2304, 9307, 15844, 45030, 11242], "avg_logprob": -0.16967430144128665, "compression_ratio": 1.971830985915493, "no_speech_prob": 0.0, "words": [{"start": 2544.38, "end": 2544.76, "word": "لكن", "probability": 0.6309814453125}, {"start": 2544.76, "end": 2544.98, "word": " ايش", "probability": 0.7473958333333334}, {"start": 2544.98, "end": 2545.4, "word": " رايك؟", "probability": 0.75921630859375}, {"start": 2545.4, "end": 2545.72, "word": " بلها", "probability": 0.85302734375}, {"start": 2545.72, "end": 2546.44, "word": " التلاتين،", "probability": 0.8060546875}, {"start": 2546.44, "end": 2546.78, "word": " خش", "probability": 0.900390625}, {"start": 2546.78, "end": 2546.96, "word": " على", "probability": 0.6494140625}, {"start": 2546.96, "end": 2547.46, "word": " الخمسة", "probability": 0.917724609375}, {"start": 2547.46, "end": 2548.7, "word": " واربعين،", "probability": 0.7726236979166666}, {"start": 2548.7, "end": 2549.02, "word": " شو", "probability": 0.905029296875}, {"start": 2549.02, "end": 2549.52, "word": " بيصير", "probability": 0.9193115234375}, {"start": 2549.52, "end": 2551.16, "word": " يعني؟", "probability": 0.7430013020833334}, {"start": 2551.16, "end": 2552.38, "word": " خمسة", "probability": 0.955322265625}, {"start": 2552.38, "end": 2552.92, "word": " واربعين", "probability": 0.96005859375}, {"start": 2552.92, "end": 2553.04, "word": " في", "probability": 0.91455078125}, {"start": 2553.04, "end": 2554.2, "word": " اتنين،", "probability": 0.83447265625}, {"start": 2554.2, "end": 2554.9, "word": " جاء", "probability": 0.48681640625}, {"start": 2554.9, "end": 2555.98, "word": " تسعين،", "probability": 0.9337890625}, {"start": 2555.98, "end": 2556.42, "word": " يبقى", "probability": 0.937255859375}, {"start": 2556.42, "end": 2556.7, "word": " بيصير", "probability": 0.881103515625}, {"start": 2556.7, "end": 2556.98, "word": " زائد", "probability": 0.9278971354166666}, {"start": 2556.98, "end": 2557.1, "word": " او", "probability": 0.786865234375}, {"start": 2557.1, "end": 2557.54, "word": " ناقص", "probability": 0.9481201171875}, {"start": 2557.54, "end": 2558.58, "word": " اتنين،", "probability": 0.96533203125}, {"start": 2558.58, "end": 2559.0, "word": " ماعناش", "probability": 0.70233154296875}, {"start": 2559.0, "end": 2560.04, "word": " calculator،", "probability": 0.559814453125}, {"start": 2560.04, "end": 2560.74, "word": " زائد", "probability": 0.9783528645833334}, {"start": 2560.74, "end": 2561.06, "word": " او", "probability": 0.96044921875}, {"start": 2561.06, "end": 2561.66, "word": " ناقص", "probability": 0.9967041015625}, {"start": 2561.66, "end": 2562.44, "word": " اتنين،", "probability": 0.95205078125}, {"start": 2562.44, "end": 2563.36, "word": " والفرقات", "probability": 0.8791015625}, {"start": 2563.36, "end": 2564.12, "word": " بسيطة،", "probability": 0.9041748046875}, {"start": 2564.12, "end": 2564.22, "word": " مش", "probability": 0.93310546875}, {"start": 2564.22, "end": 2564.68, "word": " كتير،", "probability": 0.9576416015625}, {"start": 2564.68, "end": 2564.88, "word": " واحد", "probability": 0.95166015625}, {"start": 2564.88, "end": 2565.18, "word": " واربع", "probability": 0.955322265625}, {"start": 2565.18, "end": 2565.56, "word": " واناشر،", "probability": 0.698046875}, {"start": 2565.56, "end": 2565.76, "word": " اتنين", "probability": 0.9698486328125}, {"start": 2565.76, "end": 2566.38, "word": " جريمات", "probability": 0.8265380859375}, {"start": 2566.38, "end": 2566.56, "word": " على", "probability": 0.76953125}, {"start": 2566.56, "end": 2567.0, "word": " بعض", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 110, "seek": 258773, "start": 2567.41, "end": 2587.73, "text": "يبقى دى حتى لو جبت مش هتأثر عندي و لو اني بعدت شوية طب الخمسة و أربعين لو روحت للستين نفس المشكلة مية و عشرين وجت المية و عشرين وجت الستين نفس القصة يبقى روح على الخمسة و سبعين دوري يبقى لو روحنا على الخمسة و سبعين درجة", "tokens": [1829, 3555, 4587, 7578, 11778, 7578, 11331, 49975, 45164, 10874, 3555, 2655, 37893, 8032, 2655, 10721, 49115, 18871, 16254, 4032, 45164, 16472, 1829, 45030, 3215, 2655, 13412, 2407, 10632, 23032, 3555, 33962, 2304, 3794, 3660, 4032, 5551, 25513, 3615, 9957, 45164, 12602, 2407, 33753, 24976, 14851, 9957, 8717, 36178, 9673, 8592, 28820, 3660, 3714, 10632, 4032, 6225, 46309, 9957, 49610, 2655, 9673, 10632, 4032, 6225, 46309, 9957, 49610, 2655, 21136, 2655, 9957, 8717, 36178, 25062, 9381, 3660, 7251, 3555, 4587, 7578, 12602, 2407, 5016, 15844, 33962, 2304, 3794, 3660, 4032, 8608, 3555, 3615, 9957, 11778, 13063, 1829, 7251, 3555, 4587, 7578, 45164, 12602, 2407, 5016, 8315, 15844, 33962, 2304, 3794, 3660, 4032, 8608, 3555, 3615, 9957, 11778, 47341, 3660], "avg_logprob": -0.11608073009798923, "compression_ratio": 2.221590909090909, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2567.41, "end": 2567.89, "word": "يبقى", "probability": 0.893798828125}, {"start": 2567.89, "end": 2568.09, "word": " دى", "probability": 0.572509765625}, {"start": 2568.09, "end": 2568.45, "word": " حتى", "probability": 0.857666015625}, {"start": 2568.45, "end": 2568.63, "word": " لو", "probability": 0.98974609375}, {"start": 2568.63, "end": 2569.03, "word": " جبت", "probability": 0.94970703125}, {"start": 2569.03, "end": 2569.23, "word": " مش", "probability": 0.88818359375}, {"start": 2569.23, "end": 2569.83, "word": " هتأثر", "probability": 0.9498291015625}, {"start": 2569.83, "end": 2570.13, "word": " عندي", "probability": 0.7998046875}, {"start": 2570.13, "end": 2570.27, "word": " و", "probability": 0.53173828125}, {"start": 2570.27, "end": 2570.37, "word": " لو", "probability": 0.92138671875}, {"start": 2570.37, "end": 2570.63, "word": " اني", "probability": 0.5872802734375}, {"start": 2570.63, "end": 2571.01, "word": " بعدت", "probability": 0.8331705729166666}, {"start": 2571.01, "end": 2571.45, "word": " شوية", "probability": 0.9358723958333334}, {"start": 2571.45, "end": 2572.23, "word": " طب", "probability": 0.8505859375}, {"start": 2572.23, "end": 2572.77, "word": " الخمسة", "probability": 0.934814453125}, {"start": 2572.77, "end": 2572.87, "word": " و", "probability": 0.9453125}, {"start": 2572.87, "end": 2573.13, "word": " أربعين", "probability": 0.78155517578125}, {"start": 2573.13, "end": 2573.31, "word": " لو", "probability": 0.9462890625}, {"start": 2573.31, "end": 2573.63, "word": " روحت", "probability": 0.9148763020833334}, {"start": 2573.63, "end": 2574.69, "word": " للستين", "probability": 0.9344075520833334}, {"start": 2574.69, "end": 2575.19, "word": " نفس", "probability": 0.982177734375}, {"start": 2575.19, "end": 2576.65, "word": " المشكلة", "probability": 0.9942626953125}, {"start": 2576.65, "end": 2576.93, "word": " مية", "probability": 0.828369140625}, {"start": 2576.93, "end": 2577.05, "word": " و", "probability": 0.9736328125}, {"start": 2577.05, "end": 2577.71, "word": " عشرين", "probability": 0.95556640625}, {"start": 2577.71, "end": 2578.15, "word": " وجت", "probability": 0.59228515625}, {"start": 2578.15, "end": 2578.43, "word": " المية", "probability": 0.72216796875}, {"start": 2578.43, "end": 2578.51, "word": " و", "probability": 0.9697265625}, {"start": 2578.51, "end": 2578.71, "word": " عشرين", "probability": 0.8790690104166666}, {"start": 2578.71, "end": 2579.01, "word": " وجت", "probability": 0.87451171875}, {"start": 2579.01, "end": 2579.61, "word": " الستين", "probability": 0.8610026041666666}, {"start": 2579.61, "end": 2579.95, "word": " نفس", "probability": 0.947265625}, {"start": 2579.95, "end": 2580.75, "word": " القصة", "probability": 0.98974609375}, {"start": 2580.75, "end": 2581.43, "word": " يبقى", "probability": 0.97021484375}, {"start": 2581.43, "end": 2581.71, "word": " روح", "probability": 0.9290364583333334}, {"start": 2581.71, "end": 2581.83, "word": " على", "probability": 0.79736328125}, {"start": 2581.83, "end": 2582.31, "word": " الخمسة", "probability": 0.9571533203125}, {"start": 2582.31, "end": 2582.39, "word": " و", "probability": 0.98779296875}, {"start": 2582.39, "end": 2582.85, "word": " سبعين", "probability": 0.976318359375}, {"start": 2582.85, "end": 2583.43, "word": " دوري", "probability": 0.9124348958333334}, {"start": 2583.43, "end": 2584.09, "word": " يبقى", "probability": 0.962646484375}, {"start": 2584.09, "end": 2584.27, "word": " لو", "probability": 0.95654296875}, {"start": 2584.27, "end": 2584.75, "word": " روحنا", "probability": 0.98388671875}, {"start": 2584.75, "end": 2585.03, "word": " على", "probability": 0.93994140625}, {"start": 2585.03, "end": 2585.85, "word": " الخمسة", "probability": 0.9896240234375}, {"start": 2585.85, "end": 2585.97, "word": " و", "probability": 0.99609375}, {"start": 2585.97, "end": 2587.03, "word": " سبعين", "probability": 0.9669189453125}, {"start": 2587.03, "end": 2587.73, "word": " درجة", "probability": 0.9967447916666666}], "temperature": 1.0}, {"id": 111, "seek": 260966, "start": 2589.84, "end": 2609.66, "text": "خمسة وسبعين في اتنين، مية وخمسين، جيب المية وخمسين، وجيب التلاتين، جيب التلاتين يساوي نص يبقى نفس القصة، هذه واحد واربع من عشرة، يبقى زاد او ناقص، واحد واربع من عشرة، بعدها بنجي تسعين", "tokens": [9778, 2304, 3794, 3660, 4032, 35457, 3615, 9957, 8978, 1975, 2655, 1863, 9957, 12399, 3714, 10632, 4032, 9778, 2304, 3794, 9957, 12399, 10874, 1829, 3555, 9673, 10632, 4032, 9778, 2304, 3794, 9957, 12399, 49610, 1829, 3555, 16712, 1211, 9307, 9957, 12399, 10874, 1829, 3555, 16712, 1211, 9307, 9957, 7251, 3794, 995, 45865, 8717, 9381, 7251, 3555, 4587, 7578, 8717, 36178, 25062, 9381, 3660, 12399, 29538, 36764, 24401, 4032, 9640, 3555, 3615, 9154, 6225, 8592, 25720, 12399, 7251, 3555, 4587, 7578, 30767, 18513, 1975, 2407, 8717, 995, 4587, 9381, 12399, 36764, 24401, 4032, 9640, 3555, 3615, 9154, 6225, 8592, 25720, 12399, 39182, 11296, 44945, 7435, 1829, 6055, 3794, 3615, 9957], "avg_logprob": -0.1882102217186581, "compression_ratio": 2.107594936708861, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2589.84, "end": 2590.9, "word": "خمسة", "probability": 0.721160888671875}, {"start": 2590.9, "end": 2591.38, "word": " وسبعين", "probability": 0.8914794921875}, {"start": 2591.38, "end": 2591.5, "word": " في", "probability": 0.62109375}, {"start": 2591.5, "end": 2592.74, "word": " اتنين،", "probability": 0.768359375}, {"start": 2592.74, "end": 2592.98, "word": " مية", "probability": 0.7841796875}, {"start": 2592.98, "end": 2593.58, "word": " وخمسين،", "probability": 0.8109537760416666}, {"start": 2593.58, "end": 2593.76, "word": " جيب", "probability": 0.9103190104166666}, {"start": 2593.76, "end": 2594.04, "word": " المية", "probability": 0.6773681640625}, {"start": 2594.04, "end": 2595.0, "word": " وخمسين،", "probability": 0.8939615885416666}, {"start": 2595.0, "end": 2595.76, "word": " وجيب", "probability": 0.8033854166666666}, {"start": 2595.76, "end": 2596.66, "word": " التلاتين،", "probability": 0.899609375}, {"start": 2596.66, "end": 2596.9, "word": " جيب", "probability": 0.8450520833333334}, {"start": 2596.9, "end": 2597.46, "word": " التلاتين", "probability": 0.9932861328125}, {"start": 2597.46, "end": 2598.22, "word": " يساوي", "probability": 0.954345703125}, {"start": 2598.22, "end": 2599.44, "word": " نص", "probability": 0.91552734375}, {"start": 2599.44, "end": 2599.9, "word": " يبقى", "probability": 0.8477783203125}, {"start": 2599.9, "end": 2600.16, "word": " نفس", "probability": 0.991455078125}, {"start": 2600.16, "end": 2600.72, "word": " القصة،", "probability": 0.85791015625}, {"start": 2600.72, "end": 2600.92, "word": " هذه", "probability": 0.49560546875}, {"start": 2600.92, "end": 2601.58, "word": " واحد", "probability": 0.975830078125}, {"start": 2601.58, "end": 2602.62, "word": " واربع", "probability": 0.72882080078125}, {"start": 2602.62, "end": 2602.86, "word": " من", "probability": 0.9951171875}, {"start": 2602.86, "end": 2603.78, "word": " عشرة،", "probability": 0.8355712890625}, {"start": 2603.78, "end": 2604.24, "word": " يبقى", "probability": 0.984375}, {"start": 2604.24, "end": 2604.78, "word": " زاد", "probability": 0.618896484375}, {"start": 2604.78, "end": 2605.08, "word": " او", "probability": 0.77783203125}, {"start": 2605.08, "end": 2606.1, "word": " ناقص،", "probability": 0.8951171875}, {"start": 2606.1, "end": 2606.48, "word": " واحد", "probability": 0.947265625}, {"start": 2606.48, "end": 2606.92, "word": " واربع", "probability": 0.8966064453125}, {"start": 2606.92, "end": 2607.12, "word": " من", "probability": 0.99609375}, {"start": 2607.12, "end": 2608.04, "word": " عشرة،", "probability": 0.964111328125}, {"start": 2608.04, "end": 2608.56, "word": " بعدها", "probability": 0.795654296875}, {"start": 2608.56, "end": 2608.96, "word": " بنجي", "probability": 0.9029947916666666}, {"start": 2608.96, "end": 2609.66, "word": " تسعين", "probability": 0.9635009765625}], "temperature": 1.0}, {"id": 112, "seek": 263732, "start": 2610.0, "end": 2637.32, "text": "أو باي على تسعين في اتنين مية و تمانين جيب ال مية و تمانين بزيرو يبقى رجعنا للزيرو يبقى مش ضائل إلا الروح نرسم يبقى هذا ثيتا تساوي زيرو وهذا ثيتا تساوي باي على اتنين يبقى دول طبعا زي دو نقل زيرو بتوريكش هيها يبقى هاي نقطة هاي تنتين", "tokens": [10721, 2407, 4724, 47302, 15844, 6055, 3794, 3615, 9957, 8978, 1975, 2655, 1863, 9957, 3714, 10632, 4032, 46811, 7649, 9957, 10874, 1829, 3555, 2423, 3714, 10632, 4032, 46811, 7649, 9957, 4724, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 12602, 7435, 3615, 8315, 24976, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 37893, 48812, 16373, 1211, 11933, 15040, 2423, 32887, 5016, 8717, 2288, 38251, 7251, 3555, 4587, 7578, 23758, 38637, 36081, 995, 6055, 3794, 995, 45865, 30767, 13546, 2407, 37037, 15730, 38637, 36081, 995, 6055, 3794, 995, 45865, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 11778, 12610, 23032, 3555, 3615, 995, 30767, 1829, 11778, 2407, 8717, 4587, 1211, 30767, 13546, 2407, 39894, 13063, 1829, 4117, 8592, 39896, 11296, 7251, 3555, 4587, 7578, 8032, 47302, 8717, 47432, 3660, 8032, 47302, 6055, 29399, 9957], "avg_logprob": -0.24814814814814815, "compression_ratio": 2.1789473684210527, "no_speech_prob": 0.0, "words": [{"start": 2610.0, "end": 2610.48, "word": "أو", "probability": 0.543121337890625}, {"start": 2610.48, "end": 2610.8, "word": " باي", "probability": 0.542724609375}, {"start": 2610.8, "end": 2610.94, "word": " على", "probability": 0.392333984375}, {"start": 2610.94, "end": 2611.4, "word": " تسعين", "probability": 0.837646484375}, {"start": 2611.4, "end": 2611.5, "word": " في", "probability": 0.66650390625}, {"start": 2611.5, "end": 2612.04, "word": " اتنين", "probability": 0.9278564453125}, {"start": 2612.04, "end": 2613.04, "word": " مية", "probability": 0.48724365234375}, {"start": 2613.04, "end": 2613.2, "word": " و", "probability": 0.59228515625}, {"start": 2613.2, "end": 2613.8, "word": " تمانين", "probability": 0.9597981770833334}, {"start": 2613.8, "end": 2614.16, "word": " جيب", "probability": 0.7449544270833334}, {"start": 2614.16, "end": 2614.28, "word": " ال", "probability": 0.7685546875}, {"start": 2614.28, "end": 2614.46, "word": " مية", "probability": 0.552978515625}, {"start": 2614.46, "end": 2614.56, "word": " و", "probability": 0.90478515625}, {"start": 2614.56, "end": 2615.26, "word": " تمانين", "probability": 0.9889322916666666}, {"start": 2615.26, "end": 2616.4, "word": " بزيرو", "probability": 0.734619140625}, {"start": 2616.4, "end": 2616.7, "word": " يبقى", "probability": 0.939208984375}, {"start": 2616.7, "end": 2617.4, "word": " رجعنا", "probability": 0.9293212890625}, {"start": 2617.4, "end": 2618.46, "word": " للزيرو", "probability": 0.8162841796875}, {"start": 2618.46, "end": 2619.16, "word": " يبقى", "probability": 0.96337890625}, {"start": 2619.16, "end": 2619.4, "word": " مش", "probability": 0.94287109375}, {"start": 2619.4, "end": 2619.8, "word": " ضائل", "probability": 0.8330078125}, {"start": 2619.8, "end": 2620.14, "word": " إلا", "probability": 0.5919189453125}, {"start": 2620.14, "end": 2620.82, "word": " الروح", "probability": 0.8567708333333334}, {"start": 2620.82, "end": 2621.54, "word": " نرسم", "probability": 0.96923828125}, {"start": 2621.54, "end": 2623.12, "word": " يبقى", "probability": 0.974609375}, {"start": 2623.12, "end": 2623.44, "word": " هذا", "probability": 0.650390625}, {"start": 2623.44, "end": 2623.94, "word": " ثيتا", "probability": 0.665283203125}, {"start": 2623.94, "end": 2624.52, "word": " تساوي", "probability": 0.9088134765625}, {"start": 2624.52, "end": 2625.08, "word": " زيرو", "probability": 0.8720703125}, {"start": 2625.08, "end": 2625.9, "word": " وهذا", "probability": 0.84521484375}, {"start": 2625.9, "end": 2626.36, "word": " ثيتا", "probability": 0.86865234375}, {"start": 2626.36, "end": 2626.96, "word": " تساوي", "probability": 0.9757080078125}, {"start": 2626.96, "end": 2627.5, "word": " باي", "probability": 0.8193359375}, {"start": 2627.5, "end": 2628.52, "word": " على", "probability": 0.92431640625}, {"start": 2628.52, "end": 2629.58, "word": " اتنين", "probability": 0.9718017578125}, {"start": 2629.58, "end": 2630.46, "word": " يبقى", "probability": 0.9732666015625}, {"start": 2630.46, "end": 2630.94, "word": " دول", "probability": 0.803466796875}, {"start": 2630.94, "end": 2632.34, "word": " طبعا", "probability": 0.8270263671875}, {"start": 2632.34, "end": 2632.62, "word": " زي", "probability": 0.935302734375}, {"start": 2632.62, "end": 2632.8, "word": " دو", "probability": 0.5054931640625}, {"start": 2632.8, "end": 2633.08, "word": " نقل", "probability": 0.7449544270833334}, {"start": 2633.08, "end": 2633.3, "word": " زيرو", "probability": 0.8797200520833334}, {"start": 2633.3, "end": 2633.78, "word": " بتوريكش", "probability": 0.575341796875}, {"start": 2633.78, "end": 2634.32, "word": " هيها", "probability": 0.92626953125}, {"start": 2634.32, "end": 2635.14, "word": " يبقى", "probability": 0.9844970703125}, {"start": 2635.14, "end": 2635.36, "word": " هاي", "probability": 0.559326171875}, {"start": 2635.36, "end": 2636.0, "word": " نقطة", "probability": 0.9656575520833334}, {"start": 2636.0, "end": 2636.56, "word": " هاي", "probability": 0.8388671875}, {"start": 2636.56, "end": 2637.32, "word": " تنتين", "probability": 0.8605143229166666}], "temperature": 1.0}, {"id": 113, "seek": 265967, "start": 2637.53, "end": 2659.67, "text": "و هدول الست يبقى ثماني نقاط فبتاع نرسم ال N00 بدنا نبدأ من وين؟ من نقطة الأصل بعدها بنرسم خمستاشر درجة وناخد طول واحد واربعة من عشرة ومن ناحية التانية سالب واحد واربعة من عشرة خمستاشر درجة تقريبا هكذا", "tokens": [2407, 8032, 3215, 12610, 2423, 14851, 7251, 3555, 4587, 7578, 38637, 2304, 7649, 1829, 8717, 4587, 41193, 6156, 3555, 2655, 45761, 8717, 2288, 38251, 2423, 426, 628, 47525, 8315, 8717, 44510, 10721, 9154, 4032, 9957, 22807, 9154, 8717, 47432, 3660, 16247, 36520, 39182, 11296, 44945, 2288, 38251, 16490, 2304, 14851, 33599, 2288, 11778, 47341, 3660, 4032, 1863, 47283, 3215, 23032, 12610, 36764, 24401, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 4032, 27842, 8717, 39319, 10632, 16712, 7649, 10632, 8608, 6027, 3555, 36764, 24401, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 16490, 2304, 14851, 33599, 2288, 11778, 47341, 3660, 6055, 4587, 16572, 3555, 995, 8032, 4117, 15730], "avg_logprob": -0.19982798711969219, "compression_ratio": 1.9197860962566844, "no_speech_prob": 0.0, "words": [{"start": 2637.53, "end": 2637.73, "word": "و", "probability": 0.47021484375}, {"start": 2637.73, "end": 2638.05, "word": " هدول", "probability": 0.459228515625}, {"start": 2638.05, "end": 2638.43, "word": " الست", "probability": 0.5146484375}, {"start": 2638.43, "end": 2638.83, "word": " يبقى", "probability": 0.8453369140625}, {"start": 2638.83, "end": 2639.51, "word": " ثماني", "probability": 0.88525390625}, {"start": 2639.51, "end": 2640.21, "word": " نقاط", "probability": 0.9015299479166666}, {"start": 2640.21, "end": 2641.53, "word": " فبتاع", "probability": 0.7784423828125}, {"start": 2641.53, "end": 2642.03, "word": " نرسم", "probability": 0.9833984375}, {"start": 2642.03, "end": 2643.07, "word": " ال", "probability": 0.81201171875}, {"start": 2643.07, "end": 2643.75, "word": " N00", "probability": 0.3497314453125}, {"start": 2643.75, "end": 2644.23, "word": " بدنا", "probability": 0.43359375}, {"start": 2644.23, "end": 2644.51, "word": " نبدأ", "probability": 0.9679361979166666}, {"start": 2644.51, "end": 2644.67, "word": " من", "probability": 0.97119140625}, {"start": 2644.67, "end": 2645.41, "word": " وين؟", "probability": 0.7350260416666666}, {"start": 2645.41, "end": 2645.69, "word": " من", "probability": 0.9638671875}, {"start": 2645.69, "end": 2646.33, "word": " نقطة", "probability": 0.9632161458333334}, {"start": 2646.33, "end": 2646.93, "word": " الأصل", "probability": 0.86181640625}, {"start": 2646.93, "end": 2648.07, "word": " بعدها", "probability": 0.593505859375}, {"start": 2648.07, "end": 2648.55, "word": " بنرسم", "probability": 0.95703125}, {"start": 2648.55, "end": 2649.61, "word": " خمستاشر", "probability": 0.87421875}, {"start": 2649.61, "end": 2649.97, "word": " درجة", "probability": 0.9835611979166666}, {"start": 2649.97, "end": 2650.43, "word": " وناخد", "probability": 0.77984619140625}, {"start": 2650.43, "end": 2650.79, "word": " طول", "probability": 0.935302734375}, {"start": 2650.79, "end": 2651.13, "word": " واحد", "probability": 0.881103515625}, {"start": 2651.13, "end": 2651.57, "word": " واربعة", "probability": 0.805419921875}, {"start": 2651.57, "end": 2651.75, "word": " من", "probability": 0.990234375}, {"start": 2651.75, "end": 2652.19, "word": " عشرة", "probability": 0.9352213541666666}, {"start": 2652.19, "end": 2652.85, "word": " ومن", "probability": 0.849609375}, {"start": 2652.85, "end": 2653.21, "word": " ناحية", "probability": 0.9313151041666666}, {"start": 2653.21, "end": 2653.59, "word": " التانية", "probability": 0.9562174479166666}, {"start": 2653.59, "end": 2654.03, "word": " سالب", "probability": 0.9235026041666666}, {"start": 2654.03, "end": 2654.61, "word": " واحد", "probability": 0.969482421875}, {"start": 2654.61, "end": 2655.47, "word": " واربعة", "probability": 0.9327392578125}, {"start": 2655.47, "end": 2655.69, "word": " من", "probability": 0.9931640625}, {"start": 2655.69, "end": 2656.13, "word": " عشرة", "probability": 0.94970703125}, {"start": 2656.13, "end": 2657.63, "word": " خمستاشر", "probability": 0.9623046875}, {"start": 2657.63, "end": 2658.15, "word": " درجة", "probability": 0.9943033854166666}, {"start": 2658.15, "end": 2659.23, "word": " تقريبا", "probability": 0.9705078125}, {"start": 2659.23, "end": 2659.67, "word": " هكذا", "probability": 0.779052734375}], "temperature": 1.0}, {"id": 114, "seek": 268307, "start": 2662.33, "end": 2683.07, "text": "يبقى هذه 15 درجة بناخد عليها طول واحد واربعة من عشرة يبقى هذه ايه لواحد مثلا واربعة من عشرة في في الناحية التانية زي ما هذه بدك تروح تمد الخط هذا على استقامته بالشكل اللي عندنا هذا", "tokens": [1829, 3555, 4587, 7578, 29538, 2119, 11778, 47341, 3660, 44945, 47283, 3215, 25894, 11296, 23032, 12610, 36764, 24401, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 7251, 3555, 4587, 7578, 29538, 1975, 1829, 3224, 5296, 14407, 24401, 50113, 15040, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 8978, 8978, 2423, 8315, 5016, 10632, 16712, 7649, 10632, 30767, 1829, 19446, 29538, 47525, 4117, 6055, 32887, 5016, 46811, 3215, 33962, 9566, 23758, 15844, 44713, 4587, 10943, 47395, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.21614583333333334, "compression_ratio": 1.861271676300578, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2662.33, "end": 2662.83, "word": "يبقى", "probability": 0.729583740234375}, {"start": 2662.83, "end": 2663.05, "word": " هذه", "probability": 0.55419921875}, {"start": 2663.05, "end": 2663.51, "word": " 15", "probability": 0.39404296875}, {"start": 2663.51, "end": 2664.49, "word": " درجة", "probability": 0.9697265625}, {"start": 2664.49, "end": 2664.93, "word": " بناخد", "probability": 0.6302490234375}, {"start": 2664.93, "end": 2665.29, "word": " عليها", "probability": 0.909912109375}, {"start": 2665.29, "end": 2665.75, "word": " طول", "probability": 0.984375}, {"start": 2665.75, "end": 2666.89, "word": " واحد", "probability": 0.691650390625}, {"start": 2666.89, "end": 2667.75, "word": " واربعة", "probability": 0.8184814453125}, {"start": 2667.75, "end": 2668.25, "word": " من", "probability": 0.982421875}, {"start": 2668.25, "end": 2668.79, "word": " عشرة", "probability": 0.8819986979166666}, {"start": 2668.79, "end": 2669.73, "word": " يبقى", "probability": 0.9212646484375}, {"start": 2669.73, "end": 2670.13, "word": " هذه", "probability": 0.8916015625}, {"start": 2670.13, "end": 2670.59, "word": " ايه", "probability": 0.9000651041666666}, {"start": 2670.59, "end": 2671.61, "word": " لواحد", "probability": 0.7140299479166666}, {"start": 2671.61, "end": 2672.21, "word": " مثلا", "probability": 0.94189453125}, {"start": 2672.21, "end": 2673.13, "word": " واربعة", "probability": 0.885986328125}, {"start": 2673.13, "end": 2673.29, "word": " من", "probability": 0.99072265625}, {"start": 2673.29, "end": 2673.83, "word": " عشرة", "probability": 0.9601236979166666}, {"start": 2673.83, "end": 2675.79, "word": " في", "probability": 0.91357421875}, {"start": 2675.79, "end": 2676.01, "word": " في", "probability": 0.693359375}, {"start": 2676.01, "end": 2676.59, "word": " الناحية", "probability": 0.852783203125}, {"start": 2676.59, "end": 2677.09, "word": " التانية", "probability": 0.9845377604166666}, {"start": 2677.09, "end": 2677.49, "word": " زي", "probability": 0.96533203125}, {"start": 2677.49, "end": 2677.67, "word": " ما", "probability": 0.91796875}, {"start": 2677.67, "end": 2677.99, "word": " هذه", "probability": 0.705078125}, {"start": 2677.99, "end": 2678.33, "word": " بدك", "probability": 0.876953125}, {"start": 2678.33, "end": 2678.65, "word": " تروح", "probability": 0.9083658854166666}, {"start": 2678.65, "end": 2679.19, "word": " تمد", "probability": 0.73095703125}, {"start": 2679.19, "end": 2679.83, "word": " الخط", "probability": 0.970947265625}, {"start": 2679.83, "end": 2680.19, "word": " هذا", "probability": 0.9375}, {"start": 2680.19, "end": 2680.53, "word": " على", "probability": 0.95458984375}, {"start": 2680.53, "end": 2681.81, "word": " استقامته", "probability": 0.9169921875}, {"start": 2681.81, "end": 2682.33, "word": " بالشكل", "probability": 0.8326822916666666}, {"start": 2682.33, "end": 2682.49, "word": " اللي", "probability": 0.956787109375}, {"start": 2682.49, "end": 2682.81, "word": " عندنا", "probability": 0.91943359375}, {"start": 2682.81, "end": 2683.07, "word": " هذا", "probability": 0.56201171875}], "temperature": 1.0}, {"id": 115, "seek": 271414, "start": 2699.88, "end": 2714.14, "text": "يبقى هذه شغلة تقريبية يبقى هذه خمستاشر درجة وهي هنا واحد واربعة من عشرة وهنا واحد واربعة من عشرة بالثالث", "tokens": [1829, 3555, 4587, 7578, 29538, 13412, 17082, 37977, 6055, 4587, 16572, 3555, 10632, 7251, 3555, 4587, 7578, 29538, 16490, 2304, 14851, 33599, 2288, 11778, 47341, 3660, 37037, 1829, 34105, 36764, 24401, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 37037, 8315, 36764, 24401, 4032, 9640, 3555, 27884, 9154, 6225, 8592, 25720, 20666, 12984, 6027, 12984], "avg_logprob": -0.13860212372882025, "compression_ratio": 1.8, "no_speech_prob": 0.0, "words": [{"start": 2699.88, "end": 2701.08, "word": "يبقى", "probability": 0.873046875}, {"start": 2701.08, "end": 2701.5, "word": " هذه", "probability": 0.75048828125}, {"start": 2701.5, "end": 2703.48, "word": " شغلة", "probability": 0.912109375}, {"start": 2703.48, "end": 2704.46, "word": " تقريبية", "probability": 0.98291015625}, {"start": 2704.46, "end": 2705.42, "word": " يبقى", "probability": 0.9346923828125}, {"start": 2705.42, "end": 2705.7, "word": " هذه", "probability": 0.9541015625}, {"start": 2705.7, "end": 2706.88, "word": " خمستاشر", "probability": 0.7856201171875}, {"start": 2706.88, "end": 2707.58, "word": " درجة", "probability": 0.99169921875}, {"start": 2707.58, "end": 2708.5, "word": " وهي", "probability": 0.81884765625}, {"start": 2708.5, "end": 2708.86, "word": " هنا", "probability": 0.9365234375}, {"start": 2708.86, "end": 2709.84, "word": " واحد", "probability": 0.96337890625}, {"start": 2709.84, "end": 2710.8, "word": " واربعة", "probability": 0.82958984375}, {"start": 2710.8, "end": 2711.06, "word": " من", "probability": 0.994140625}, {"start": 2711.06, "end": 2711.54, "word": " عشرة", "probability": 0.9420572916666666}, {"start": 2711.54, "end": 2711.9, "word": " وهنا", "probability": 0.743408203125}, {"start": 2711.9, "end": 2712.3, "word": " واحد", "probability": 0.952392578125}, {"start": 2712.3, "end": 2712.8, "word": " واربعة", "probability": 0.9661865234375}, {"start": 2712.8, "end": 2713.02, "word": " من", "probability": 0.9951171875}, {"start": 2713.02, "end": 2713.44, "word": " عشرة", "probability": 0.97119140625}, {"start": 2713.44, "end": 2714.14, "word": " بالثالث", "probability": 0.79486083984375}], "temperature": 1.0}, {"id": 116, "seek": 272007, "start": 2715.05, "end": 2720.07, "text": "بعد ذلك سنصل إلى خمسة واربعين درجة الخط بنصف الزاوية", "tokens": [3555, 22488, 29910, 23275, 8608, 1863, 36520, 30731, 16490, 2304, 3794, 3660, 4032, 9640, 3555, 3615, 9957, 11778, 47341, 3660, 33962, 9566, 44945, 9381, 5172, 6024, 110, 995, 2407, 10632], "avg_logprob": -0.37701611557314474, "compression_ratio": 1.1728395061728396, "no_speech_prob": 0.0, "words": [{"start": 2715.05, "end": 2715.63, "word": "بعد", "probability": 0.744140625}, {"start": 2715.63, "end": 2716.03, "word": " ذلك", "probability": 0.7060546875}, {"start": 2716.03, "end": 2716.55, "word": " سنصل", "probability": 0.3928629557291667}, {"start": 2716.55, "end": 2716.63, "word": " إلى", "probability": 0.275634765625}, {"start": 2716.63, "end": 2717.09, "word": " خمسة", "probability": 0.77947998046875}, {"start": 2717.09, "end": 2717.67, "word": " واربعين", "probability": 0.80537109375}, {"start": 2717.67, "end": 2718.13, "word": " درجة", "probability": 0.9544270833333334}, {"start": 2718.13, "end": 2718.59, "word": " الخط", "probability": 0.88037109375}, {"start": 2718.59, "end": 2719.33, "word": " بنصف", "probability": 0.7799479166666666}, {"start": 2719.33, "end": 2720.07, "word": " الزاوية", "probability": 0.95703125}], "temperature": 1.0}, {"id": 117, "seek": 275128, "start": 2728.22, "end": 2751.28, "text": "بتاخد عليه طول اتنين وسالب اتنين يبقى هذا اتنين وهذا مين اللي هو سالب اتنين بالشكل اللي عندنا هذا بعدين خمسة وسبعين درجة يبقى خمسة وسبعين درجة خط اللي عندنا هذا يبقى هذا خمسة وسبعين درجة", "tokens": [3555, 2655, 47283, 3215, 47356, 23032, 12610, 1975, 2655, 1863, 9957, 46952, 6027, 3555, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 23758, 1975, 2655, 1863, 9957, 37037, 15730, 3714, 9957, 13672, 1829, 31439, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 39182, 9957, 16490, 2304, 3794, 3660, 4032, 35457, 3615, 9957, 11778, 47341, 3660, 7251, 3555, 4587, 7578, 16490, 2304, 3794, 3660, 4032, 35457, 3615, 9957, 11778, 47341, 3660, 16490, 9566, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 23758, 16490, 2304, 3794, 3660, 4032, 35457, 3615, 9957, 11778, 47341, 3660], "avg_logprob": -0.15501238331936373, "compression_ratio": 2.514925373134328, "no_speech_prob": 0.0, "words": [{"start": 2728.2200000000003, "end": 2729.4, "word": "بتاخد", "probability": 0.63555908203125}, {"start": 2729.4, "end": 2729.8, "word": " عليه", "probability": 0.49169921875}, {"start": 2729.8, "end": 2730.34, "word": " طول", "probability": 0.883056640625}, {"start": 2730.34, "end": 2730.96, "word": " اتنين", "probability": 0.6895599365234375}, {"start": 2730.96, "end": 2731.58, "word": " وسالب", "probability": 0.635986328125}, {"start": 2731.58, "end": 2732.08, "word": " اتنين", "probability": 0.988037109375}, {"start": 2732.08, "end": 2733.2, "word": " يبقى", "probability": 0.8526611328125}, {"start": 2733.2, "end": 2733.6, "word": " هذا", "probability": 0.68017578125}, {"start": 2733.6, "end": 2734.58, "word": " اتنين", "probability": 0.9580078125}, {"start": 2734.58, "end": 2735.82, "word": " وهذا", "probability": 0.75341796875}, {"start": 2735.82, "end": 2736.38, "word": " مين", "probability": 0.63525390625}, {"start": 2736.38, "end": 2736.76, "word": " اللي", "probability": 0.7431640625}, {"start": 2736.76, "end": 2737.0, "word": " هو", "probability": 0.470458984375}, {"start": 2737.0, "end": 2737.84, "word": " سالب", "probability": 0.9464518229166666}, {"start": 2737.84, "end": 2738.6, "word": " اتنين", "probability": 0.991455078125}, {"start": 2738.6, "end": 2739.12, "word": " بالشكل", "probability": 0.9342447916666666}, {"start": 2739.12, "end": 2739.28, "word": " اللي", "probability": 0.953369140625}, {"start": 2739.28, "end": 2739.58, "word": " عندنا", "probability": 0.880126953125}, {"start": 2739.58, "end": 2739.8, "word": " هذا", "probability": 0.53466796875}, {"start": 2739.8, "end": 2740.9, "word": " بعدين", "probability": 0.728515625}, {"start": 2740.9, "end": 2741.34, "word": " خمسة", "probability": 0.947509765625}, {"start": 2741.34, "end": 2742.04, "word": " وسبعين", "probability": 0.9410400390625}, {"start": 2742.04, "end": 2742.76, "word": " درجة", "probability": 0.99169921875}, {"start": 2742.76, "end": 2743.54, "word": " يبقى", "probability": 0.9759521484375}, {"start": 2743.54, "end": 2744.2, "word": " خمسة", "probability": 0.9820556640625}, {"start": 2744.2, "end": 2745.1, "word": " وسبعين", "probability": 0.9901123046875}, {"start": 2745.1, "end": 2746.38, "word": " درجة", "probability": 0.9952799479166666}, {"start": 2746.38, "end": 2746.88, "word": " خط", "probability": 0.884033203125}, {"start": 2746.88, "end": 2747.14, "word": " اللي", "probability": 0.985107421875}, {"start": 2747.14, "end": 2747.58, "word": " عندنا", "probability": 0.9765625}, {"start": 2747.58, "end": 2747.86, "word": " هذا", "probability": 0.94921875}, {"start": 2747.86, "end": 2748.7, "word": " يبقى", "probability": 0.9813232421875}, {"start": 2748.7, "end": 2749.08, "word": " هذا", "probability": 0.92041015625}, {"start": 2749.08, "end": 2749.84, "word": " خمسة", "probability": 0.9915771484375}, {"start": 2749.84, "end": 2750.72, "word": " وسبعين", "probability": 0.9969482421875}, {"start": 2750.72, "end": 2751.28, "word": " درجة", "probability": 0.99755859375}], "temperature": 1.0}, {"id": 118, "seek": 278137, "start": 2751.63, "end": 2781.37, "text": "بدي أخذ عليه طول واحد و أربعة من عشرة يبقى رجعنا لنفس القصة هذه و من هنا نفسها بعدها رجعنا لمن؟ لل zero يبقى بدنا نروح نرسم الشكل اللي وصل له يبقى منحنقوس بالشكل هذا هيك و رجع تاني هيك و من الناحية التانية هذه كمان اجه هيك و رجع هيك", "tokens": [3555, 16254, 5551, 9778, 8848, 47356, 23032, 12610, 36764, 24401, 4032, 5551, 25513, 27884, 9154, 6225, 8592, 25720, 7251, 3555, 4587, 7578, 12602, 7435, 3615, 8315, 5296, 1863, 36178, 25062, 9381, 3660, 29538, 4032, 9154, 34105, 8717, 36178, 11296, 39182, 11296, 12602, 7435, 3615, 8315, 5296, 27842, 22807, 24976, 4018, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 32887, 5016, 8717, 2288, 38251, 25124, 28820, 13672, 1829, 4032, 36520, 46740, 7251, 3555, 4587, 7578, 9154, 5016, 1863, 4587, 41779, 20666, 8592, 28820, 23758, 39896, 4117, 4032, 12602, 7435, 3615, 6055, 7649, 1829, 39896, 4117, 4032, 9154, 2423, 8315, 5016, 10632, 16712, 7649, 10632, 29538, 9122, 2304, 7649, 1975, 7435, 3224, 39896, 4117, 4032, 12602, 7435, 3615, 39896, 4117], "avg_logprob": -0.1949152573943138, "compression_ratio": 1.9339622641509433, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2751.63, "end": 2751.97, "word": "بدي", "probability": 0.24462890625}, {"start": 2751.97, "end": 2752.25, "word": " أخذ", "probability": 0.64453125}, {"start": 2752.25, "end": 2752.55, "word": " عليه", "probability": 0.85205078125}, {"start": 2752.55, "end": 2753.11, "word": " طول", "probability": 0.94873046875}, {"start": 2753.11, "end": 2753.99, "word": " واحد", "probability": 0.794677734375}, {"start": 2753.99, "end": 2754.13, "word": " و", "probability": 0.7421875}, {"start": 2754.13, "end": 2754.59, "word": " أربعة", "probability": 0.7293294270833334}, {"start": 2754.59, "end": 2754.89, "word": " من", "probability": 0.99169921875}, {"start": 2754.89, "end": 2755.51, "word": " عشرة", "probability": 0.90380859375}, {"start": 2755.51, "end": 2756.49, "word": " يبقى", "probability": 0.830322265625}, {"start": 2756.49, "end": 2757.27, "word": " رجعنا", "probability": 0.9132080078125}, {"start": 2757.27, "end": 2757.95, "word": " لنفس", "probability": 0.9256184895833334}, {"start": 2757.95, "end": 2758.61, "word": " القصة", "probability": 0.9718424479166666}, {"start": 2758.61, "end": 2759.07, "word": " هذه", "probability": 0.7412109375}, {"start": 2759.07, "end": 2759.59, "word": " و", "probability": 0.89794921875}, {"start": 2759.59, "end": 2759.81, "word": " من", "probability": 0.79150390625}, {"start": 2759.81, "end": 2760.33, "word": " هنا", "probability": 0.98876953125}, {"start": 2760.33, "end": 2761.23, "word": " نفسها", "probability": 0.9903971354166666}, {"start": 2761.23, "end": 2762.07, "word": " بعدها", "probability": 0.821044921875}, {"start": 2762.07, "end": 2762.57, "word": " رجعنا", "probability": 0.9901123046875}, {"start": 2762.57, "end": 2763.29, "word": " لمن؟", "probability": 0.5247395833333334}, {"start": 2763.29, "end": 2763.97, "word": " لل", "probability": 0.57275390625}, {"start": 2763.97, "end": 2764.51, "word": " zero", "probability": 0.3798828125}, {"start": 2764.51, "end": 2765.65, "word": " يبقى", "probability": 0.9720458984375}, {"start": 2765.65, "end": 2766.01, "word": " بدنا", "probability": 0.889404296875}, {"start": 2766.01, "end": 2766.31, "word": " نروح", "probability": 0.966796875}, {"start": 2766.31, "end": 2766.79, "word": " نرسم", "probability": 0.9523111979166666}, {"start": 2766.79, "end": 2767.37, "word": " الشكل", "probability": 0.9853515625}, {"start": 2767.37, "end": 2767.59, "word": " اللي", "probability": 0.863037109375}, {"start": 2767.59, "end": 2768.13, "word": " وصل", "probability": 0.840087890625}, {"start": 2768.13, "end": 2768.47, "word": " له", "probability": 0.72802734375}, {"start": 2768.47, "end": 2769.51, "word": " يبقى", "probability": 0.953369140625}, {"start": 2769.51, "end": 2770.79, "word": " منحنقوس", "probability": 0.780859375}, {"start": 2770.79, "end": 2772.15, "word": " بالشكل", "probability": 0.857421875}, {"start": 2772.15, "end": 2772.57, "word": " هذا", "probability": 0.84619140625}, {"start": 2772.57, "end": 2773.27, "word": " هيك", "probability": 0.6663818359375}, {"start": 2773.27, "end": 2773.77, "word": " و", "probability": 0.986328125}, {"start": 2773.77, "end": 2774.25, "word": " رجع", "probability": 0.9095052083333334}, {"start": 2774.25, "end": 2774.73, "word": " تاني", "probability": 0.9244791666666666}, {"start": 2774.73, "end": 2775.31, "word": " هيك", "probability": 0.98388671875}, {"start": 2775.31, "end": 2775.89, "word": " و", "probability": 0.984375}, {"start": 2775.89, "end": 2776.11, "word": " من", "probability": 0.9755859375}, {"start": 2776.11, "end": 2776.79, "word": " الناحية", "probability": 0.8983154296875}, {"start": 2776.79, "end": 2777.43, "word": " التانية", "probability": 0.9388020833333334}, {"start": 2777.43, "end": 2777.81, "word": " هذه", "probability": 0.368896484375}, {"start": 2777.81, "end": 2778.37, "word": " كمان", "probability": 0.9046223958333334}, {"start": 2778.37, "end": 2779.11, "word": " اجه", "probability": 0.5941569010416666}, {"start": 2779.11, "end": 2779.89, "word": " هيك", "probability": 0.9716796875}, {"start": 2779.89, "end": 2780.45, "word": " و", "probability": 0.99267578125}, {"start": 2780.45, "end": 2780.91, "word": " رجع", "probability": 0.9656575520833334}, {"start": 2780.91, "end": 2781.37, "word": " هيك", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 119, "seek": 281387, "start": 2786.45, "end": 2813.87, "text": "تمام؟ يبقى هذا رسمة الملحانة الأول اللي هو R تربية تساوي أربع صين اتنين ثيتا طب لو روحنا رسمنا لو سألتك انا و قلتلك لو رسمنا هذا في الأول عارف لو رسمنا هذا في الأول شكلك الشكل التالي هذا ثيتا تساوي zero وهذا ثيتا تساوي بيعتك", "tokens": [39237, 10943, 22807, 7251, 3555, 4587, 7578, 23758, 12602, 38251, 3660, 9673, 1211, 5016, 7649, 3660, 16247, 12610, 13672, 1829, 31439, 497, 6055, 25513, 10632, 6055, 3794, 995, 45865, 5551, 25513, 3615, 20328, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 23032, 3555, 45164, 12602, 2407, 5016, 8315, 12602, 38251, 8315, 45164, 8608, 10721, 1211, 2655, 4117, 1975, 8315, 4032, 12174, 1211, 2655, 23275, 45164, 12602, 38251, 8315, 23758, 8978, 16247, 12610, 6225, 9640, 5172, 45164, 12602, 38251, 8315, 23758, 8978, 16247, 12610, 13412, 28820, 4117, 25124, 28820, 16712, 6027, 1829, 23758, 38637, 36081, 995, 6055, 3794, 995, 45865, 4018, 37037, 15730, 38637, 36081, 995, 6055, 3794, 995, 45865, 4724, 1829, 34268, 4117], "avg_logprob": -0.22121710709312506, "compression_ratio": 2.0837696335078535, "no_speech_prob": 0.0, "words": [{"start": 2786.45, "end": 2787.63, "word": "تمام؟", "probability": 0.6107991536458334}, {"start": 2787.63, "end": 2788.25, "word": " يبقى", "probability": 0.938720703125}, {"start": 2788.25, "end": 2788.55, "word": " هذا", "probability": 0.806640625}, {"start": 2788.55, "end": 2789.15, "word": " رسمة", "probability": 0.9319661458333334}, {"start": 2789.15, "end": 2789.87, "word": " الملحانة", "probability": 0.8515625}, {"start": 2789.87, "end": 2790.47, "word": " الأول", "probability": 0.97265625}, {"start": 2790.47, "end": 2791.17, "word": " اللي", "probability": 0.787353515625}, {"start": 2791.17, "end": 2791.37, "word": " هو", "probability": 0.73388671875}, {"start": 2791.37, "end": 2791.61, "word": " R", "probability": 0.541015625}, {"start": 2791.61, "end": 2792.01, "word": " تربية", "probability": 0.6845703125}, {"start": 2792.01, "end": 2792.53, "word": " تساوي", "probability": 0.62506103515625}, {"start": 2792.53, "end": 2793.17, "word": " أربع", "probability": 0.671875}, {"start": 2793.17, "end": 2794.01, "word": " صين", "probability": 0.69482421875}, {"start": 2794.01, "end": 2794.73, "word": " اتنين", "probability": 0.9356689453125}, {"start": 2794.73, "end": 2795.31, "word": " ثيتا", "probability": 0.6395670572916666}, {"start": 2795.31, "end": 2796.17, "word": " طب", "probability": 0.682373046875}, {"start": 2796.17, "end": 2796.39, "word": " لو", "probability": 0.99169921875}, {"start": 2796.39, "end": 2796.83, "word": " روحنا", "probability": 0.87109375}, {"start": 2796.83, "end": 2797.71, "word": " رسمنا", "probability": 0.84130859375}, {"start": 2797.71, "end": 2798.55, "word": " لو", "probability": 0.6396484375}, {"start": 2798.55, "end": 2799.45, "word": " سألتك", "probability": 0.93486328125}, {"start": 2799.45, "end": 2799.99, "word": " انا", "probability": 0.705078125}, {"start": 2799.99, "end": 2800.49, "word": " و", "probability": 0.95654296875}, {"start": 2800.49, "end": 2801.21, "word": " قلتلك", "probability": 0.732177734375}, {"start": 2801.21, "end": 2801.51, "word": " لو", "probability": 0.93603515625}, {"start": 2801.51, "end": 2802.31, "word": " رسمنا", "probability": 0.9856770833333334}, {"start": 2802.31, "end": 2802.67, "word": " هذا", "probability": 0.896484375}, {"start": 2802.67, "end": 2802.95, "word": " في", "probability": 0.70556640625}, {"start": 2802.95, "end": 2803.57, "word": " الأول", "probability": 0.97119140625}, {"start": 2803.57, "end": 2804.59, "word": " عارف", "probability": 0.9187825520833334}, {"start": 2804.59, "end": 2804.79, "word": " لو", "probability": 0.96142578125}, {"start": 2804.79, "end": 2805.37, "word": " رسمنا", "probability": 0.9908854166666666}, {"start": 2805.37, "end": 2805.57, "word": " هذا", "probability": 0.9736328125}, {"start": 2805.57, "end": 2805.73, "word": " في", "probability": 0.9658203125}, {"start": 2805.73, "end": 2806.07, "word": " الأول", "probability": 0.977294921875}, {"start": 2806.07, "end": 2806.73, "word": " شكلك", "probability": 0.9580078125}, {"start": 2806.73, "end": 2807.33, "word": " الشكل", "probability": 0.940673828125}, {"start": 2807.33, "end": 2808.01, "word": " التالي", "probability": 0.927734375}, {"start": 2808.01, "end": 2809.37, "word": " هذا", "probability": 0.7255859375}, {"start": 2809.37, "end": 2809.95, "word": " ثيتا", "probability": 0.8151041666666666}, {"start": 2809.95, "end": 2810.57, "word": " تساوي", "probability": 0.984375}, {"start": 2810.57, "end": 2811.03, "word": " zero", "probability": 0.427490234375}, {"start": 2811.03, "end": 2812.07, "word": " وهذا", "probability": 0.734375}, {"start": 2812.07, "end": 2812.57, "word": " ثيتا", "probability": 0.8263346354166666}, {"start": 2812.57, "end": 2813.15, "word": " تساوي", "probability": 0.985107421875}, {"start": 2813.15, "end": 2813.87, "word": " بيعتك", "probability": 0.60650634765625}], "temperature": 1.0}, {"id": 120, "seek": 284410, "start": 2814.9, "end": 2844.1, "text": "يبقى المنحنة هيجيك بالشكل هذا هيك قوس هيك والتاني من الناحية التاني هذا هيك هذا اللي هو R تساوي او R ترميه يساوي اربع كوصين اتنين تيتا السؤال اللي كنت بدى اسأله لو رسمت هذا المنحنة في الأول وجيت سألتك وقولتلك", "tokens": [1829, 3555, 4587, 7578, 9673, 1863, 5016, 1863, 3660, 39896, 7435, 1829, 4117, 20666, 8592, 28820, 23758, 39896, 4117, 12174, 41779, 39896, 4117, 16070, 2655, 7649, 1829, 9154, 2423, 8315, 5016, 10632, 16712, 7649, 1829, 23758, 39896, 4117, 23758, 13672, 1829, 31439, 497, 6055, 3794, 995, 45865, 1975, 2407, 497, 6055, 2288, 2304, 1829, 3224, 7251, 3794, 995, 45865, 1975, 25513, 3615, 9122, 2407, 9381, 9957, 1975, 2655, 1863, 9957, 6055, 36081, 995, 21136, 33604, 6027, 13672, 1829, 9122, 29399, 47525, 7578, 24525, 10721, 43761, 45164, 12602, 38251, 2655, 23758, 9673, 1863, 5016, 1863, 3660, 8978, 16247, 12610, 49610, 36081, 8608, 10721, 1211, 2655, 4117, 4032, 39648, 2655, 23275], "avg_logprob": -0.1859375005418604, "compression_ratio": 1.9788359788359788, "no_speech_prob": 0.0, "words": [{"start": 2814.9, "end": 2815.48, "word": "يبقى", "probability": 0.83013916015625}, {"start": 2815.48, "end": 2816.44, "word": " المنحنة", "probability": 0.90244140625}, {"start": 2816.44, "end": 2817.54, "word": " هيجيك", "probability": 0.9326171875}, {"start": 2817.54, "end": 2818.12, "word": " بالشكل", "probability": 0.96728515625}, {"start": 2818.12, "end": 2818.48, "word": " هذا", "probability": 0.77392578125}, {"start": 2818.48, "end": 2818.98, "word": " هيك", "probability": 0.7109375}, {"start": 2818.98, "end": 2820.56, "word": " قوس", "probability": 0.593994140625}, {"start": 2820.56, "end": 2821.32, "word": " هيك", "probability": 0.874755859375}, {"start": 2821.32, "end": 2822.48, "word": " والتاني", "probability": 0.8060302734375}, {"start": 2822.48, "end": 2822.66, "word": " من", "probability": 0.98046875}, {"start": 2822.66, "end": 2823.24, "word": " الناحية", "probability": 0.889892578125}, {"start": 2823.24, "end": 2823.76, "word": " التاني", "probability": 0.6625162760416666}, {"start": 2823.76, "end": 2824.06, "word": " هذا", "probability": 0.475341796875}, {"start": 2824.06, "end": 2825.42, "word": " هيك", "probability": 0.965576171875}, {"start": 2825.42, "end": 2827.54, "word": " هذا", "probability": 0.92822265625}, {"start": 2827.54, "end": 2827.78, "word": " اللي", "probability": 0.94140625}, {"start": 2827.78, "end": 2828.02, "word": " هو", "probability": 0.9541015625}, {"start": 2828.02, "end": 2828.5, "word": " R", "probability": 0.68994140625}, {"start": 2828.5, "end": 2829.62, "word": " تساوي", "probability": 0.9375}, {"start": 2829.62, "end": 2830.28, "word": " او", "probability": 0.839111328125}, {"start": 2830.28, "end": 2830.54, "word": " R", "probability": 0.95458984375}, {"start": 2830.54, "end": 2830.98, "word": " ترميه", "probability": 0.665283203125}, {"start": 2830.98, "end": 2831.48, "word": " يساوي", "probability": 0.9649658203125}, {"start": 2831.48, "end": 2832.18, "word": " اربع", "probability": 0.6949055989583334}, {"start": 2832.18, "end": 2832.9, "word": " كوصين", "probability": 0.68994140625}, {"start": 2832.9, "end": 2833.44, "word": " اتنين", "probability": 0.988525390625}, {"start": 2833.44, "end": 2833.94, "word": " تيتا", "probability": 0.669921875}, {"start": 2833.94, "end": 2835.42, "word": " السؤال", "probability": 0.9881184895833334}, {"start": 2835.42, "end": 2835.88, "word": " اللي", "probability": 0.900634765625}, {"start": 2835.88, "end": 2836.16, "word": " كنت", "probability": 0.9931640625}, {"start": 2836.16, "end": 2836.52, "word": " بدى", "probability": 0.59765625}, {"start": 2836.52, "end": 2837.1, "word": " اسأله", "probability": 0.9103190104166666}, {"start": 2837.1, "end": 2837.88, "word": " لو", "probability": 0.9287109375}, {"start": 2837.88, "end": 2838.56, "word": " رسمت", "probability": 0.98876953125}, {"start": 2838.56, "end": 2838.86, "word": " هذا", "probability": 0.8955078125}, {"start": 2838.86, "end": 2839.76, "word": " المنحنة", "probability": 0.981640625}, {"start": 2839.76, "end": 2839.98, "word": " في", "probability": 0.88037109375}, {"start": 2839.98, "end": 2840.72, "word": " الأول", "probability": 0.832763671875}, {"start": 2840.72, "end": 2842.06, "word": " وجيت", "probability": 0.8486328125}, {"start": 2842.06, "end": 2842.94, "word": " سألتك", "probability": 0.95625}, {"start": 2842.94, "end": 2844.1, "word": " وقولتلك", "probability": 0.8453369140625}], "temperature": 1.0}, {"id": 121, "seek": 286821, "start": 2844.43, "end": 2868.21, "text": "بعد هذا سنقوم برسم الملحانة، هذا لن يأتي في بالك، لكنك ستقول لي علامة و رواية، مظبوط؟ يبقى الشغل ليس التحذير، وإنما تريد استخدام معلومات كامة، تمام؟ يبقى ده احنا غششناه كرسمة، التانية يجب أن تعملها جدول و symmetry وطبعا كصين هذه، وزي ما انت شايف", "tokens": [3555, 22488, 23758, 8608, 1863, 4587, 20498, 4724, 2288, 38251, 9673, 1211, 5016, 7649, 3660, 12399, 23758, 5296, 1863, 7251, 10721, 31371, 8978, 20666, 4117, 12399, 44381, 4117, 8608, 2655, 39648, 32239, 11203, 10943, 3660, 4032, 12602, 14407, 10632, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 25124, 17082, 1211, 32239, 3794, 16712, 5016, 8848, 13546, 12399, 4032, 28814, 1863, 15042, 6055, 16572, 3215, 44713, 9778, 3215, 10943, 20449, 1211, 20498, 9307, 9122, 10943, 3660, 12399, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 11778, 3224, 1975, 5016, 8315, 32771, 8592, 8592, 8315, 3224, 9122, 2288, 38251, 3660, 12399, 16712, 7649, 10632, 7251, 7435, 3555, 14739, 6055, 25957, 1211, 11296, 10874, 3215, 12610, 4032, 25440, 4032, 9566, 3555, 3615, 995, 9122, 9381, 9957, 29538, 12399, 4032, 11622, 1829, 19446, 16472, 2655, 13412, 995, 33911], "avg_logprob": -0.4026003754051932, "compression_ratio": 1.7003891050583657, "no_speech_prob": 0.0, "words": [{"start": 2844.43, "end": 2845.01, "word": "بعد", "probability": 0.82470703125}, {"start": 2845.01, "end": 2845.39, "word": " هذا", "probability": 0.6513671875}, {"start": 2845.39, "end": 2845.97, "word": " سنقوم", "probability": 0.45196533203125}, {"start": 2845.97, "end": 2846.31, "word": " برسم", "probability": 0.7205403645833334}, {"start": 2846.31, "end": 2847.21, "word": " الملحانة،", "probability": 0.7593994140625}, {"start": 2847.21, "end": 2847.23, "word": " هذا", "probability": 0.1739501953125}, {"start": 2847.23, "end": 2847.39, "word": " لن", "probability": 0.6373291015625}, {"start": 2847.39, "end": 2847.77, "word": " يأتي", "probability": 0.6800740559895834}, {"start": 2847.77, "end": 2847.91, "word": " في", "probability": 0.8681640625}, {"start": 2847.91, "end": 2848.47, "word": " بالك،", "probability": 0.6365559895833334}, {"start": 2848.47, "end": 2848.97, "word": " لكنك", "probability": 0.24749755859375}, {"start": 2848.97, "end": 2849.23, "word": " ستقول", "probability": 0.8248697916666666}, {"start": 2849.23, "end": 2849.31, "word": " لي", "probability": 0.173583984375}, {"start": 2849.31, "end": 2849.65, "word": " علامة", "probability": 0.744873046875}, {"start": 2849.65, "end": 2849.89, "word": " و", "probability": 0.68115234375}, {"start": 2849.89, "end": 2850.53, "word": " رواية،", "probability": 0.785400390625}, {"start": 2850.53, "end": 2851.65, "word": " مظبوط؟", "probability": 0.7102457682291666}, {"start": 2851.65, "end": 2852.15, "word": " يبقى", "probability": 0.7464599609375}, {"start": 2852.15, "end": 2852.65, "word": " الشغل", "probability": 0.6956380208333334}, {"start": 2852.65, "end": 2853.29, "word": " ليس", "probability": 0.94775390625}, {"start": 2853.29, "end": 2854.19, "word": " التحذير،", "probability": 0.8740234375}, {"start": 2854.19, "end": 2854.77, "word": " وإنما", "probability": 0.798095703125}, {"start": 2854.77, "end": 2855.89, "word": " تريد", "probability": 0.5394694010416666}, {"start": 2855.89, "end": 2856.21, "word": " استخدام", "probability": 0.827880859375}, {"start": 2856.21, "end": 2857.21, "word": " معلومات", "probability": 0.895263671875}, {"start": 2857.21, "end": 2858.09, "word": " كامة،", "probability": 0.830078125}, {"start": 2858.09, "end": 2858.91, "word": " تمام؟", "probability": 0.88232421875}, {"start": 2858.91, "end": 2859.39, "word": " يبقى", "probability": 0.9210205078125}, {"start": 2859.39, "end": 2859.63, "word": " ده", "probability": 0.352020263671875}, {"start": 2859.63, "end": 2859.79, "word": " احنا", "probability": 0.7906901041666666}, {"start": 2859.79, "end": 2860.59, "word": " غششناه", "probability": 0.7734375}, {"start": 2860.59, "end": 2861.61, "word": " كرسمة،", "probability": 0.78994140625}, {"start": 2861.61, "end": 2862.75, "word": " التانية", "probability": 0.88427734375}, {"start": 2862.75, "end": 2863.29, "word": " يجب", "probability": 0.6211751302083334}, {"start": 2863.29, "end": 2863.35, "word": " أن", "probability": 0.39697265625}, {"start": 2863.35, "end": 2863.91, "word": " تعملها", "probability": 0.7774658203125}, {"start": 2863.91, "end": 2864.41, "word": " جدول", "probability": 0.9710286458333334}, {"start": 2864.41, "end": 2864.59, "word": " و", "probability": 0.58349609375}, {"start": 2864.59, "end": 2865.19, "word": " symmetry", "probability": 0.347412109375}, {"start": 2865.19, "end": 2866.15, "word": " وطبعا", "probability": 0.86416015625}, {"start": 2866.15, "end": 2866.87, "word": " كصين", "probability": 0.4256184895833333}, {"start": 2866.87, "end": 2867.27, "word": " هذه،", "probability": 0.4371337890625}, {"start": 2867.27, "end": 2867.53, "word": " وزي", "probability": 0.7925618489583334}, {"start": 2867.53, "end": 2867.61, "word": " ما", "probability": 0.94091796875}, {"start": 2867.61, "end": 2867.79, "word": " انت", "probability": 0.766845703125}, {"start": 2867.79, "end": 2868.21, "word": " شايف", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 122, "seek": 289798, "start": 2868.8, "end": 2897.98, "text": "متمثلة بالنسبة لمحور X ومتمثلة بالنسبة لمحور Y ومتمثلة بالنسبة للـOrigin هذه لا يوجد تماثل إلا بالنسبة للـOrigin هذه على اليمين ومافيش واحد أجبالها على الشمال هذا الجزء على الشمال ومافيش واحد أجباله على اليمين، لا يوجد اي سيمتري في الواقع Y طلع هذا نوفقي، هذه فوق ومافيش أجبالها واحدة تحت وهذه تحت ومافيش واحد أجبالها فوق", "tokens": [2304, 39237, 12984, 37977, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 1783, 4032, 2304, 39237, 12984, 37977, 20666, 1863, 35457, 3660, 32767, 5016, 13063, 398, 4032, 2304, 39237, 12984, 37977, 20666, 1863, 35457, 3660, 24976, 39184, 46, 7065, 259, 29538, 20193, 7251, 29245, 3215, 46811, 5718, 104, 1211, 11933, 15040, 20666, 1863, 35457, 3660, 24976, 39184, 46, 7065, 259, 29538, 15844, 2423, 32640, 9957, 4032, 15042, 41185, 8592, 36764, 24401, 5551, 7435, 3555, 6027, 11296, 15844, 25124, 2304, 6027, 23758, 25724, 11622, 38207, 15844, 25124, 2304, 6027, 4032, 15042, 41185, 8592, 36764, 24401, 5551, 7435, 3555, 6027, 3224, 15844, 2423, 32640, 9957, 12399, 20193, 7251, 29245, 3215, 1975, 1829, 8608, 32640, 2655, 16572, 8978, 2423, 14407, 4587, 3615, 398, 23032, 1211, 3615, 23758, 8717, 38688, 38436, 12399, 29538, 6156, 30543, 4032, 15042, 41185, 8592, 5551, 7435, 3555, 6027, 11296, 36764, 24401, 3660, 6055, 33753, 37037, 24192, 6055, 33753, 4032, 15042, 41185, 8592, 36764, 24401, 5551, 7435, 3555, 6027, 11296, 6156, 30543], "avg_logprob": -0.33410493477627085, "compression_ratio": 2.6192660550458715, "no_speech_prob": 0.0, "words": [{"start": 2868.8, "end": 2869.6, "word": "متمثلة", "probability": 0.575439453125}, {"start": 2869.6, "end": 2870.06, "word": " بالنسبة", "probability": 0.93798828125}, {"start": 2870.06, "end": 2870.66, "word": " لمحور", "probability": 0.9251302083333334}, {"start": 2870.66, "end": 2871.08, "word": " X", "probability": 0.9296875}, {"start": 2871.08, "end": 2872.52, "word": " ومتمثلة", "probability": 0.8533203125}, {"start": 2872.52, "end": 2873.02, "word": " بالنسبة", "probability": 0.99609375}, {"start": 2873.02, "end": 2873.6, "word": " لمحور", "probability": 0.982421875}, {"start": 2873.6, "end": 2873.98, "word": " Y", "probability": 0.98779296875}, {"start": 2873.98, "end": 2875.02, "word": " ومتمثلة", "probability": 0.89853515625}, {"start": 2875.02, "end": 2875.56, "word": " بالنسبة", "probability": 0.9959716796875}, {"start": 2875.56, "end": 2876.36, "word": " للـOrigin", "probability": 0.6751708984375}, {"start": 2876.36, "end": 2877.36, "word": " هذه", "probability": 0.41552734375}, {"start": 2877.36, "end": 2878.04, "word": " لا", "probability": 0.66064453125}, {"start": 2878.04, "end": 2878.7, "word": " يوجد", "probability": 0.9500325520833334}, {"start": 2878.7, "end": 2879.36, "word": " تماثل", "probability": 0.8275146484375}, {"start": 2879.36, "end": 2879.64, "word": " إلا", "probability": 0.81396484375}, {"start": 2879.64, "end": 2880.2, "word": " بالنسبة", "probability": 0.9935302734375}, {"start": 2880.2, "end": 2881.74, "word": " للـOrigin", "probability": 0.81337890625}, {"start": 2881.74, "end": 2882.56, "word": " هذه", "probability": 0.39501953125}, {"start": 2882.56, "end": 2882.94, "word": " على", "probability": 0.53466796875}, {"start": 2882.94, "end": 2883.42, "word": " اليمين", "probability": 0.8213704427083334}, {"start": 2883.42, "end": 2883.84, "word": " ومافيش", "probability": 0.4140625}, {"start": 2883.84, "end": 2884.06, "word": " واحد", "probability": 0.944091796875}, {"start": 2884.06, "end": 2884.52, "word": " أجبالها", "probability": 0.70546875}, {"start": 2884.52, "end": 2884.68, "word": " على", "probability": 0.84619140625}, {"start": 2884.68, "end": 2885.24, "word": " الشمال", "probability": 0.9723307291666666}, {"start": 2885.24, "end": 2886.02, "word": " هذا", "probability": 0.315673828125}, {"start": 2886.02, "end": 2886.34, "word": " الجزء", "probability": 0.8719075520833334}, {"start": 2886.34, "end": 2886.5, "word": " على", "probability": 0.89453125}, {"start": 2886.5, "end": 2886.9, "word": " الشمال", "probability": 0.9698893229166666}, {"start": 2886.9, "end": 2887.4, "word": " ومافيش", "probability": 0.75958251953125}, {"start": 2887.4, "end": 2887.56, "word": " واحد", "probability": 0.768798828125}, {"start": 2887.56, "end": 2887.8, "word": " أجباله", "probability": 0.92197265625}, {"start": 2887.8, "end": 2888.12, "word": " على", "probability": 0.79345703125}, {"start": 2888.12, "end": 2888.48, "word": " اليمين،", "probability": 0.68695068359375}, {"start": 2888.48, "end": 2888.92, "word": " لا", "probability": 0.270263671875}, {"start": 2888.92, "end": 2889.16, "word": " يوجد", "probability": 0.7484537760416666}, {"start": 2889.16, "end": 2889.26, "word": " اي", "probability": 0.15582275390625}, {"start": 2889.26, "end": 2889.82, "word": " سيمتري", "probability": 0.462005615234375}, {"start": 2889.82, "end": 2890.08, "word": " في", "probability": 0.24462890625}, {"start": 2890.08, "end": 2891.62, "word": " الواقع", "probability": 0.492279052734375}, {"start": 2891.62, "end": 2891.62, "word": " Y", "probability": 0.2415771484375}, {"start": 2891.62, "end": 2892.52, "word": " طلع", "probability": 0.7275390625}, {"start": 2892.52, "end": 2892.78, "word": " هذا", "probability": 0.8662109375}, {"start": 2892.78, "end": 2893.42, "word": " نوفقي،", "probability": 0.4627685546875}, {"start": 2893.42, "end": 2893.62, "word": " هذه", "probability": 0.447998046875}, {"start": 2893.62, "end": 2894.02, "word": " فوق", "probability": 0.841552734375}, {"start": 2894.02, "end": 2894.4, "word": " ومافيش", "probability": 0.923828125}, {"start": 2894.4, "end": 2894.78, "word": " أجبالها", "probability": 0.83310546875}, {"start": 2894.78, "end": 2895.12, "word": " واحدة", "probability": 0.8837890625}, {"start": 2895.12, "end": 2895.38, "word": " تحت", "probability": 0.927490234375}, {"start": 2895.38, "end": 2896.4, "word": " وهذه", "probability": 0.687744140625}, {"start": 2896.4, "end": 2896.78, "word": " تحت", "probability": 0.984375}, {"start": 2896.78, "end": 2897.08, "word": " ومافيش", "probability": 0.9375}, {"start": 2897.08, "end": 2897.3, "word": " واحد", "probability": 0.984130859375}, {"start": 2897.3, "end": 2897.7, "word": " أجبالها", "probability": 0.8845703125}, {"start": 2897.7, "end": 2897.98, "word": " فوق", "probability": 0.7861328125}], "temperature": 1.0}, {"id": 123, "seek": 292263, "start": 2898.21, "end": 2922.63, "text": "يبقى no symmetry about the x-axis يبقى مضل علشان دي إلا تمثل حوالي المية حياليا ال origin نعطي كمان مثال هذا مثال أربعة أربعة بيقول للمرة A", "tokens": [1829, 3555, 4587, 7578, 572, 25440, 466, 264, 2031, 12, 24633, 7251, 3555, 4587, 7578, 3714, 11242, 1211, 11203, 8592, 7649, 11778, 1829, 11933, 15040, 46811, 12984, 1211, 11331, 2407, 6027, 1829, 9673, 10632, 11331, 1829, 6027, 25528, 2423, 4957, 8717, 3615, 9566, 1829, 9122, 2304, 7649, 50113, 6027, 23758, 50113, 6027, 5551, 25513, 27884, 5551, 25513, 27884, 4724, 1829, 39648, 5296, 19528, 25720, 316], "avg_logprob": -0.3077651515151515, "compression_ratio": 1.38125, "no_speech_prob": 0.0, "words": [{"start": 2898.21, "end": 2898.69, "word": "يبقى", "probability": 0.79205322265625}, {"start": 2898.69, "end": 2898.81, "word": " no", "probability": 0.064208984375}, {"start": 2898.81, "end": 2899.39, "word": " symmetry", "probability": 0.82373046875}, {"start": 2899.39, "end": 2900.01, "word": " about", "probability": 0.8818359375}, {"start": 2900.01, "end": 2900.57, "word": " the", "probability": 0.6044921875}, {"start": 2900.57, "end": 2901.57, "word": " x", "probability": 0.78564453125}, {"start": 2901.57, "end": 2902.19, "word": "-axis", "probability": 0.6982421875}, {"start": 2902.19, "end": 2902.71, "word": " يبقى", "probability": 0.863037109375}, {"start": 2902.71, "end": 2903.03, "word": " مضل", "probability": 0.908203125}, {"start": 2903.03, "end": 2903.39, "word": " علشان", "probability": 0.8038736979166666}, {"start": 2903.39, "end": 2903.53, "word": " دي", "probability": 0.669189453125}, {"start": 2903.53, "end": 2903.71, "word": " إلا", "probability": 0.6080322265625}, {"start": 2903.71, "end": 2904.21, "word": " تمثل", "probability": 0.69775390625}, {"start": 2904.21, "end": 2904.51, "word": " حوالي", "probability": 0.8223876953125}, {"start": 2904.51, "end": 2904.93, "word": " المية", "probability": 0.4852294921875}, {"start": 2904.93, "end": 2906.13, "word": " حياليا", "probability": 0.76544189453125}, {"start": 2906.13, "end": 2906.41, "word": " ال", "probability": 0.890625}, {"start": 2906.41, "end": 2906.97, "word": " origin", "probability": 0.69970703125}, {"start": 2906.97, "end": 2909.17, "word": " نعطي", "probability": 0.9385986328125}, {"start": 2909.17, "end": 2909.83, "word": " كمان", "probability": 0.9622395833333334}, {"start": 2909.83, "end": 2910.89, "word": " مثال", "probability": 0.993408203125}, {"start": 2910.89, "end": 2911.83, "word": " هذا", "probability": 0.447021484375}, {"start": 2911.83, "end": 2912.53, "word": " مثال", "probability": 0.984130859375}, {"start": 2912.53, "end": 2913.73, "word": " أربعة", "probability": 0.8082682291666666}, {"start": 2913.73, "end": 2920.95, "word": " أربعة", "probability": 0.9150390625}, {"start": 2920.95, "end": 2921.43, "word": " بيقول", "probability": 0.9734700520833334}, {"start": 2921.43, "end": 2922.13, "word": " للمرة", "probability": 0.6553548177083334}, {"start": 2922.13, "end": 2922.63, "word": " A", "probability": 0.4560546875}], "temperature": 1.0}, {"id": 124, "seek": 295110, "start": 2923.66, "end": 2951.1, "text": "ر تساوي اربعة كوصين اتنين ثيتا ونمر B ر تساوي اربعة صين اتنين ثيتا ونمر C ر تساوي كوصين تلاتة ثيتا ونمر D ر تساوي صين تلاتة ثيتا", "tokens": [2288, 6055, 3794, 995, 45865, 1975, 25513, 27884, 9122, 2407, 9381, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 4032, 1863, 29973, 363, 12602, 6055, 3794, 995, 45865, 1975, 25513, 27884, 20328, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 4032, 1863, 29973, 383, 12602, 6055, 3794, 995, 45865, 9122, 2407, 9381, 9957, 6055, 1211, 9307, 3660, 38637, 36081, 995, 4032, 1863, 29973, 413, 12602, 6055, 3794, 995, 45865, 20328, 9957, 6055, 1211, 9307, 3660, 38637, 36081, 995], "avg_logprob": -0.18829114640815348, "compression_ratio": 2.4301075268817205, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2923.66, "end": 2924.9, "word": "ر", "probability": 0.2108154296875}, {"start": 2924.9, "end": 2925.88, "word": " تساوي", "probability": 0.6900787353515625}, {"start": 2925.88, "end": 2926.68, "word": " اربعة", "probability": 0.7792154947916666}, {"start": 2926.68, "end": 2927.42, "word": " كوصين", "probability": 0.59747314453125}, {"start": 2927.42, "end": 2928.04, "word": " اتنين", "probability": 0.9669189453125}, {"start": 2928.04, "end": 2928.64, "word": " ثيتا", "probability": 0.7762044270833334}, {"start": 2928.64, "end": 2930.16, "word": " ونمر", "probability": 0.5916341145833334}, {"start": 2930.16, "end": 2930.66, "word": " B", "probability": 0.1427001953125}, {"start": 2930.66, "end": 2931.96, "word": " ر", "probability": 0.424072265625}, {"start": 2931.96, "end": 2932.82, "word": " تساوي", "probability": 0.9810791015625}, {"start": 2932.82, "end": 2933.66, "word": " اربعة", "probability": 0.9423828125}, {"start": 2933.66, "end": 2934.28, "word": " صين", "probability": 0.7427978515625}, {"start": 2934.28, "end": 2934.96, "word": " اتنين", "probability": 0.9864501953125}, {"start": 2934.96, "end": 2935.78, "word": " ثيتا", "probability": 0.96630859375}, {"start": 2935.78, "end": 2936.84, "word": " ونمر", "probability": 0.9591471354166666}, {"start": 2936.84, "end": 2937.52, "word": " C", "probability": 0.9326171875}, {"start": 2937.52, "end": 2941.14, "word": " ر", "probability": 0.47265625}, {"start": 2941.14, "end": 2942.4, "word": " تساوي", "probability": 0.9881591796875}, {"start": 2942.4, "end": 2944.32, "word": " كوصين", "probability": 0.9534912109375}, {"start": 2944.32, "end": 2945.3, "word": " تلاتة", "probability": 0.97216796875}, {"start": 2945.3, "end": 2946.02, "word": " ثيتا", "probability": 0.9611002604166666}, {"start": 2946.02, "end": 2946.94, "word": " ونمر", "probability": 0.9661458333333334}, {"start": 2946.94, "end": 2947.42, "word": " D", "probability": 0.9931640625}, {"start": 2947.42, "end": 2948.2, "word": " ر", "probability": 0.82275390625}, {"start": 2948.2, "end": 2949.02, "word": " تساوي", "probability": 0.9859619140625}, {"start": 2949.02, "end": 2949.74, "word": " صين", "probability": 0.9501953125}, {"start": 2949.74, "end": 2950.64, "word": " تلاتة", "probability": 0.98681640625}, {"start": 2950.64, "end": 2951.1, "word": " ثيتا", "probability": 0.9689127604166666}], "temperature": 1.0}, {"id": 125, "seek": 296678, "start": 2953.6, "end": 2966.78, "text": "خلّيني أعطيك سلوشي السيمتري سيكون مجرد تجارب لك سيمتري هذا مجرد تجارب", "tokens": [9778, 1211, 11703, 9957, 1829, 5551, 3615, 9566, 1829, 4117, 8608, 1211, 2407, 8592, 1829, 21136, 32640, 2655, 16572, 8608, 1829, 30544, 3714, 7435, 2288, 3215, 6055, 7435, 9640, 3555, 5296, 4117, 8608, 32640, 2655, 16572, 23758, 3714, 7435, 2288, 3215, 6055, 7435, 9640, 3555], "avg_logprob": -0.5512907453205275, "compression_ratio": 1.4597701149425288, "no_speech_prob": 0.0, "words": [{"start": 2953.6, "end": 2954.08, "word": "خلّيني", "probability": 0.7418701171875}, {"start": 2954.08, "end": 2954.38, "word": " أعطيك", "probability": 0.67744140625}, {"start": 2954.38, "end": 2955.94, "word": " سلوشي", "probability": 0.62205810546875}, {"start": 2955.94, "end": 2959.66, "word": " السيمتري", "probability": 0.618499755859375}, {"start": 2959.66, "end": 2960.2, "word": " سيكون", "probability": 0.5596516927083334}, {"start": 2960.2, "end": 2960.7, "word": " مجرد", "probability": 0.53118896484375}, {"start": 2960.7, "end": 2960.98, "word": " تجارب", "probability": 0.528594970703125}, {"start": 2960.98, "end": 2961.72, "word": " لك", "probability": 0.6337890625}, {"start": 2961.72, "end": 2963.72, "word": " سيمتري", "probability": 0.7149658203125}, {"start": 2963.72, "end": 2965.38, "word": " هذا", "probability": 0.478515625}, {"start": 2965.38, "end": 2965.88, "word": " مجرد", "probability": 0.9339599609375}, {"start": 2965.88, "end": 2966.78, "word": " تجارب", "probability": 0.96484375}], "temperature": 1.0}, {"id": 126, "seek": 298752, "start": 2967.86, "end": 2987.52, "text": "هنا طبعا متمثل بالنسبة ل X متمثل بالنسبة ل Y متمثل بالنسبة لنقطة الأصل إذا ماعنديش مشكلة فيه خالص بالمرة بدنا نروح نعمل جدول طبعا أنا بحكي لنفس بلى نمرى ايه يبقى لو روحت عملت الجدول بدي أخد الجدول الشكل التالي", "tokens": [3224, 8315, 23032, 3555, 3615, 995, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 1783, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 398, 44650, 2304, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 1863, 47432, 3660, 16247, 36520, 11933, 15730, 19446, 3615, 1863, 16254, 8592, 37893, 28820, 3660, 8978, 3224, 16490, 6027, 9381, 20666, 2304, 25720, 47525, 8315, 8717, 32887, 5016, 8717, 25957, 1211, 10874, 3215, 12610, 23032, 3555, 3615, 995, 41850, 4724, 5016, 4117, 1829, 5296, 1863, 36178, 4724, 23942, 8717, 29973, 7578, 1975, 1829, 3224, 7251, 3555, 4587, 7578, 45164, 12602, 2407, 33753, 6225, 42213, 2655, 25724, 3215, 12610, 4724, 16254, 5551, 9778, 3215, 25724, 3215, 12610, 25124, 28820, 16712, 6027, 1829], "avg_logprob": -0.1781517094017094, "compression_ratio": 2.0546448087431695, "no_speech_prob": 0.0, "words": [{"start": 2967.86, "end": 2968.36, "word": "هنا", "probability": 0.366455078125}, {"start": 2968.36, "end": 2969.72, "word": " طبعا", "probability": 0.872802734375}, {"start": 2969.72, "end": 2971.04, "word": " متمثل", "probability": 0.8779296875}, {"start": 2971.04, "end": 2971.58, "word": " بالنسبة", "probability": 0.9541015625}, {"start": 2971.58, "end": 2971.7, "word": " ل", "probability": 0.81005859375}, {"start": 2971.7, "end": 2972.06, "word": " X", "probability": 0.7490234375}, {"start": 2972.06, "end": 2972.9, "word": " متمثل", "probability": 0.841796875}, {"start": 2972.9, "end": 2973.42, "word": " بالنسبة", "probability": 0.9967041015625}, {"start": 2973.42, "end": 2973.56, "word": " ل", "probability": 0.96484375}, {"start": 2973.56, "end": 2973.88, "word": " Y", "probability": 0.97998046875}, {"start": 2973.88, "end": 2974.56, "word": " متمثل", "probability": 0.948974609375}, {"start": 2974.56, "end": 2974.96, "word": " بالنسبة", "probability": 0.993408203125}, {"start": 2974.96, "end": 2975.36, "word": " لنقطة", "probability": 0.76190185546875}, {"start": 2975.36, "end": 2975.84, "word": " الأصل", "probability": 0.904541015625}, {"start": 2975.84, "end": 2976.4, "word": " إذا", "probability": 0.6497802734375}, {"start": 2976.4, "end": 2976.86, "word": " ماعنديش", "probability": 0.92314453125}, {"start": 2976.86, "end": 2977.26, "word": " مشكلة", "probability": 0.9807942708333334}, {"start": 2977.26, "end": 2977.44, "word": " فيه", "probability": 0.80322265625}, {"start": 2977.44, "end": 2977.74, "word": " خالص", "probability": 0.8816731770833334}, {"start": 2977.74, "end": 2978.22, "word": " بالمرة", "probability": 0.84423828125}, {"start": 2978.22, "end": 2978.98, "word": " بدنا", "probability": 0.667236328125}, {"start": 2978.98, "end": 2979.32, "word": " نروح", "probability": 0.9864908854166666}, {"start": 2979.32, "end": 2979.86, "word": " نعمل", "probability": 0.9547526041666666}, {"start": 2979.86, "end": 2980.34, "word": " جدول", "probability": 0.97802734375}, {"start": 2980.34, "end": 2980.64, "word": " طبعا", "probability": 0.9200439453125}, {"start": 2980.64, "end": 2980.74, "word": " أنا", "probability": 0.7158203125}, {"start": 2980.74, "end": 2980.98, "word": " بحكي", "probability": 0.93701171875}, {"start": 2980.98, "end": 2981.38, "word": " لنفس", "probability": 0.7664388020833334}, {"start": 2981.38, "end": 2981.74, "word": " بلى", "probability": 0.64111328125}, {"start": 2981.74, "end": 2982.32, "word": " نمرى", "probability": 0.7032877604166666}, {"start": 2982.32, "end": 2982.92, "word": " ايه", "probability": 0.7872721354166666}, {"start": 2982.92, "end": 2983.48, "word": " يبقى", "probability": 0.74664306640625}, {"start": 2983.48, "end": 2983.66, "word": " لو", "probability": 0.921875}, {"start": 2983.66, "end": 2983.98, "word": " روحت", "probability": 0.90087890625}, {"start": 2983.98, "end": 2984.44, "word": " عملت", "probability": 0.8776041666666666}, {"start": 2984.44, "end": 2985.08, "word": " الجدول", "probability": 0.9793294270833334}, {"start": 2985.08, "end": 2985.36, "word": " بدي", "probability": 0.6876220703125}, {"start": 2985.36, "end": 2985.68, "word": " أخد", "probability": 0.86962890625}, {"start": 2985.68, "end": 2986.16, "word": " الجدول", "probability": 0.99169921875}, {"start": 2986.16, "end": 2986.82, "word": " الشكل", "probability": 0.9404296875}, {"start": 2986.82, "end": 2987.52, "word": " التالي", "probability": 0.9117838541666666}], "temperature": 1.0}, {"id": 127, "seek": 301730, "start": 2990.86, "end": 3017.3, "text": "هنا ثيتا وهنا R تساوي اربعة كوصين اتنين ثيتا دوري مباشرة يبقى بالدهش ياخد Zero كوصين صفر يبقى دهش بواحد يبقى الطول يساوي اربعة لو جت اخد خمستاشر درجة ايه خمستاشر درجة في اتنين تلاتين جت تلاتين جدر تلاتة ع التاني يبقى اتنين", "tokens": [3224, 8315, 38637, 36081, 995, 37037, 8315, 497, 6055, 3794, 995, 45865, 1975, 25513, 27884, 9122, 2407, 9381, 9957, 1975, 2655, 1863, 9957, 38637, 36081, 995, 11778, 13063, 1829, 3714, 3555, 33599, 25720, 7251, 3555, 4587, 7578, 20666, 3215, 3224, 8592, 7251, 47283, 3215, 17182, 9122, 2407, 9381, 9957, 20328, 5172, 2288, 7251, 3555, 4587, 7578, 11778, 3224, 8592, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 41950, 12610, 7251, 3794, 995, 45865, 1975, 25513, 27884, 45164, 10874, 2655, 1975, 9778, 3215, 16490, 2304, 14851, 33599, 2288, 11778, 47341, 3660, 1975, 1829, 3224, 16490, 2304, 14851, 33599, 2288, 11778, 47341, 3660, 8978, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 9957, 10874, 2655, 6055, 1211, 9307, 9957, 10874, 3215, 2288, 6055, 1211, 9307, 3660, 6225, 16712, 7649, 1829, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957], "avg_logprob": -0.20972222840344465, "compression_ratio": 2.1117021276595747, "no_speech_prob": 0.0, "words": [{"start": 2990.86, "end": 2991.34, "word": "هنا", "probability": 0.5369873046875}, {"start": 2991.34, "end": 2992.06, "word": " ثيتا", "probability": 0.6128946940104166}, {"start": 2992.06, "end": 2993.14, "word": " وهنا", "probability": 0.957763671875}, {"start": 2993.14, "end": 2993.68, "word": " R", "probability": 0.50439453125}, {"start": 2993.68, "end": 2994.42, "word": " تساوي", "probability": 0.74237060546875}, {"start": 2994.42, "end": 2995.18, "word": " اربعة", "probability": 0.6820475260416666}, {"start": 2995.18, "end": 2995.88, "word": " كوصين", "probability": 0.7452392578125}, {"start": 2995.88, "end": 2996.38, "word": " اتنين", "probability": 0.9725341796875}, {"start": 2996.38, "end": 2996.98, "word": " ثيتا", "probability": 0.8857421875}, {"start": 2996.98, "end": 2997.56, "word": " دوري", "probability": 0.9547526041666666}, {"start": 2997.56, "end": 2998.48, "word": " مباشرة", "probability": 0.9837646484375}, {"start": 2998.48, "end": 3000.0, "word": " يبقى", "probability": 0.92578125}, {"start": 3000.0, "end": 3000.48, "word": " بالدهش", "probability": 0.58795166015625}, {"start": 3000.48, "end": 3001.02, "word": " ياخد", "probability": 0.8245442708333334}, {"start": 3001.02, "end": 3001.56, "word": " Zero", "probability": 0.437744140625}, {"start": 3001.56, "end": 3002.34, "word": " كوصين", "probability": 0.927001953125}, {"start": 3002.34, "end": 3002.72, "word": " صفر", "probability": 0.90478515625}, {"start": 3002.72, "end": 3003.0, "word": " يبقى", "probability": 0.935546875}, {"start": 3003.0, "end": 3003.6, "word": " دهش", "probability": 0.9529622395833334}, {"start": 3003.6, "end": 3004.56, "word": " بواحد", "probability": 0.7794596354166666}, {"start": 3004.56, "end": 3004.9, "word": " يبقى", "probability": 0.9801025390625}, {"start": 3004.9, "end": 3005.28, "word": " الطول", "probability": 0.917724609375}, {"start": 3005.28, "end": 3005.94, "word": " يساوي", "probability": 0.984375}, {"start": 3005.94, "end": 3006.62, "word": " اربعة", "probability": 0.8191731770833334}, {"start": 3006.62, "end": 3007.56, "word": " لو", "probability": 0.82373046875}, {"start": 3007.56, "end": 3007.86, "word": " جت", "probability": 0.85498046875}, {"start": 3007.86, "end": 3008.3, "word": " اخد", "probability": 0.75390625}, {"start": 3008.3, "end": 3009.58, "word": " خمستاشر", "probability": 0.745751953125}, {"start": 3009.58, "end": 3010.22, "word": " درجة", "probability": 0.9910481770833334}, {"start": 3010.22, "end": 3010.58, "word": " ايه", "probability": 0.489013671875}, {"start": 3010.58, "end": 3011.6, "word": " خمستاشر", "probability": 0.97060546875}, {"start": 3011.6, "end": 3012.04, "word": " درجة", "probability": 0.9952799479166666}, {"start": 3012.04, "end": 3012.22, "word": " في", "probability": 0.6064453125}, {"start": 3012.22, "end": 3012.8, "word": " اتنين", "probability": 0.980712890625}, {"start": 3012.8, "end": 3014.08, "word": " تلاتين", "probability": 0.9442138671875}, {"start": 3014.08, "end": 3014.48, "word": " جت", "probability": 0.951904296875}, {"start": 3014.48, "end": 3015.16, "word": " تلاتين", "probability": 0.971435546875}, {"start": 3015.16, "end": 3015.54, "word": " جدر", "probability": 0.7316080729166666}, {"start": 3015.54, "end": 3016.0, "word": " تلاتة", "probability": 0.83526611328125}, {"start": 3016.0, "end": 3016.14, "word": " ع", "probability": 0.68017578125}, {"start": 3016.14, "end": 3016.36, "word": " التاني", "probability": 0.6163736979166666}, {"start": 3016.36, "end": 3016.64, "word": " يبقى", "probability": 0.966552734375}, {"start": 3016.64, "end": 3017.3, "word": " اتنين", "probability": 0.987548828125}], "temperature": 1.0}, {"id": 128, "seek": 304504, "start": 3017.74, "end": 3045.04, "text": "جدر تلاتة اللي هو تلاتة صحيح وأربعة من عشرة بعد الخمستاشر لو أخد تلاتين في اتنين ستين جتا ستين بلص يفجف كده؟ باتنين بعد لو أخد خمسة واربعين درجة بيطلع كده؟ Zero خمسة واربعين في اتنين بتسعين اللي هو مين؟", "tokens": [7435, 3215, 2288, 6055, 1211, 9307, 3660, 13672, 1829, 31439, 6055, 1211, 9307, 3660, 20328, 5016, 1829, 5016, 36725, 25513, 27884, 9154, 6225, 8592, 25720, 39182, 33962, 2304, 14851, 33599, 2288, 45164, 5551, 9778, 3215, 6055, 1211, 9307, 9957, 8978, 1975, 2655, 1863, 9957, 8608, 2655, 9957, 10874, 2655, 995, 8608, 2655, 9957, 4724, 1211, 9381, 7251, 5172, 7435, 5172, 9122, 3215, 3224, 22807, 4724, 9307, 1863, 9957, 39182, 45164, 5551, 9778, 3215, 16490, 2304, 3794, 3660, 4032, 9640, 3555, 3615, 9957, 11778, 47341, 3660, 4724, 1829, 9566, 1211, 3615, 9122, 3215, 3224, 22807, 17182, 16490, 2304, 3794, 3660, 4032, 9640, 3555, 3615, 9957, 8978, 1975, 2655, 1863, 9957, 39894, 3794, 3615, 9957, 13672, 1829, 31439, 3714, 9957, 22807], "avg_logprob": -0.1295572885622581, "compression_ratio": 2.016759776536313, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3017.74, "end": 3018.46, "word": "جدر", "probability": 0.8126627604166666}, {"start": 3018.46, "end": 3019.56, "word": " تلاتة", "probability": 0.9144287109375}, {"start": 3019.56, "end": 3020.24, "word": " اللي", "probability": 0.77783203125}, {"start": 3020.24, "end": 3020.4, "word": " هو", "probability": 0.94921875}, {"start": 3020.4, "end": 3021.08, "word": " تلاتة", "probability": 0.961669921875}, {"start": 3021.08, "end": 3021.76, "word": " صحيح", "probability": 0.994384765625}, {"start": 3021.76, "end": 3022.44, "word": " وأربعة", "probability": 0.7572428385416666}, {"start": 3022.44, "end": 3022.7, "word": " من", "probability": 0.9892578125}, {"start": 3022.7, "end": 3023.52, "word": " عشرة", "probability": 0.88427734375}, {"start": 3023.52, "end": 3024.36, "word": " بعد", "probability": 0.7607421875}, {"start": 3024.36, "end": 3025.46, "word": " الخمستاشر", "probability": 0.8759765625}, {"start": 3025.46, "end": 3025.72, "word": " لو", "probability": 0.89453125}, {"start": 3025.72, "end": 3026.22, "word": " أخد", "probability": 0.91943359375}, {"start": 3026.22, "end": 3027.02, "word": " تلاتين", "probability": 0.9434814453125}, {"start": 3027.02, "end": 3027.2, "word": " في", "probability": 0.81201171875}, {"start": 3027.2, "end": 3027.98, "word": " اتنين", "probability": 0.946533203125}, {"start": 3027.98, "end": 3029.12, "word": " ستين", "probability": 0.93359375}, {"start": 3029.12, "end": 3029.96, "word": " جتا", "probability": 0.80712890625}, {"start": 3029.96, "end": 3031.0, "word": " ستين", "probability": 0.9529622395833334}, {"start": 3031.0, "end": 3032.12, "word": " بلص", "probability": 0.7762044270833334}, {"start": 3032.12, "end": 3032.64, "word": " يفجف", "probability": 0.8642578125}, {"start": 3032.64, "end": 3033.5, "word": " كده؟", "probability": 0.7646484375}, {"start": 3033.5, "end": 3034.46, "word": " باتنين", "probability": 0.8465576171875}, {"start": 3034.46, "end": 3035.38, "word": " بعد", "probability": 0.80322265625}, {"start": 3035.38, "end": 3035.7, "word": " لو", "probability": 0.9501953125}, {"start": 3035.7, "end": 3036.16, "word": " أخد", "probability": 0.9690755208333334}, {"start": 3036.16, "end": 3036.88, "word": " خمسة", "probability": 0.973388671875}, {"start": 3036.88, "end": 3038.0, "word": " واربعين", "probability": 0.9322265625}, {"start": 3038.0, "end": 3038.62, "word": " درجة", "probability": 0.9860026041666666}, {"start": 3038.62, "end": 3039.02, "word": " بيطلع", "probability": 0.87783203125}, {"start": 3039.02, "end": 3039.86, "word": " كده؟", "probability": 0.9678955078125}, {"start": 3039.86, "end": 3041.02, "word": " Zero", "probability": 0.6474609375}, {"start": 3041.02, "end": 3041.78, "word": " خمسة", "probability": 0.9588623046875}, {"start": 3041.78, "end": 3042.18, "word": " واربعين", "probability": 0.97861328125}, {"start": 3042.18, "end": 3042.34, "word": " في", "probability": 0.921875}, {"start": 3042.34, "end": 3042.66, "word": " اتنين", "probability": 0.9561767578125}, {"start": 3042.66, "end": 3043.46, "word": " بتسعين", "probability": 0.815185546875}, {"start": 3043.46, "end": 3044.12, "word": " اللي", "probability": 0.98583984375}, {"start": 3044.12, "end": 3044.36, "word": " هو", "probability": 0.8662109375}, {"start": 3044.36, "end": 3045.04, "word": " مين؟", "probability": 0.7527669270833334}], "temperature": 1.0}, {"id": 129, "seek": 307395, "start": 3045.09, "end": 3073.95, "text": "بزيرو بالشكل اللي عندنا هذا بعد الخمسة وأربعين لو أخدت الستين خمسة وسبعين تسعين وخلصنا من الشغل هذه طيب ستين في اتنين بمية وعشرين زي جتا الستين جتا الستين بسالب نص يبقى سالي باتنين لو كملت بظل سالب تلاتة واربعة من عشر وهنا سالب اربعة", "tokens": [3555, 11622, 13546, 2407, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 39182, 33962, 2304, 3794, 3660, 36725, 25513, 3615, 9957, 45164, 5551, 9778, 3215, 2655, 21136, 2655, 9957, 16490, 2304, 3794, 3660, 4032, 35457, 3615, 9957, 6055, 3794, 3615, 9957, 4032, 9778, 1211, 9381, 8315, 9154, 25124, 17082, 1211, 29538, 23032, 1829, 3555, 8608, 2655, 9957, 8978, 1975, 2655, 1863, 9957, 4724, 2304, 10632, 4032, 3615, 46309, 9957, 30767, 1829, 10874, 2655, 995, 21136, 2655, 9957, 10874, 2655, 995, 21136, 2655, 9957, 4724, 3794, 6027, 3555, 8717, 9381, 7251, 3555, 4587, 7578, 8608, 6027, 1829, 4724, 9307, 1863, 9957, 45164, 9122, 42213, 2655, 4724, 19913, 1211, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4032, 9640, 3555, 27884, 9154, 6225, 46309, 37037, 8315, 8608, 6027, 3555, 1975, 25513, 27884], "avg_logprob": -0.15324519884127838, "compression_ratio": 2.0686274509803924, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3045.09, "end": 3046.19, "word": "بزيرو", "probability": 0.6444091796875}, {"start": 3046.19, "end": 3046.81, "word": " بالشكل", "probability": 0.8079427083333334}, {"start": 3046.81, "end": 3046.99, "word": " اللي", "probability": 0.762939453125}, {"start": 3046.99, "end": 3047.53, "word": " عندنا", "probability": 0.959228515625}, {"start": 3047.53, "end": 3048.03, "word": " هذا", "probability": 0.69091796875}, {"start": 3048.03, "end": 3048.89, "word": " بعد", "probability": 0.73681640625}, {"start": 3048.89, "end": 3049.51, "word": " الخمسة", "probability": 0.884521484375}, {"start": 3049.51, "end": 3050.03, "word": " وأربعين", "probability": 0.86077880859375}, {"start": 3050.03, "end": 3050.27, "word": " لو", "probability": 0.81689453125}, {"start": 3050.27, "end": 3050.89, "word": " أخدت", "probability": 0.9393310546875}, {"start": 3050.89, "end": 3051.95, "word": " الستين", "probability": 0.776611328125}, {"start": 3051.95, "end": 3052.67, "word": " خمسة", "probability": 0.965576171875}, {"start": 3052.67, "end": 3053.71, "word": " وسبعين", "probability": 0.95361328125}, {"start": 3053.71, "end": 3054.95, "word": " تسعين", "probability": 0.9674072265625}, {"start": 3054.95, "end": 3055.73, "word": " وخلصنا", "probability": 0.95634765625}, {"start": 3055.73, "end": 3055.91, "word": " من", "probability": 0.98095703125}, {"start": 3055.91, "end": 3056.47, "word": " الشغل", "probability": 0.9103190104166666}, {"start": 3056.47, "end": 3056.81, "word": " هذه", "probability": 0.52490234375}, {"start": 3056.81, "end": 3057.91, "word": " طيب", "probability": 0.865234375}, {"start": 3057.91, "end": 3058.33, "word": " ستين", "probability": 0.9656575520833334}, {"start": 3058.33, "end": 3058.47, "word": " في", "probability": 0.71044921875}, {"start": 3058.47, "end": 3058.73, "word": " اتنين", "probability": 0.9429931640625}, {"start": 3058.73, "end": 3059.03, "word": " بمية", "probability": 0.7325846354166666}, {"start": 3059.03, "end": 3060.01, "word": " وعشرين", "probability": 0.8916015625}, {"start": 3060.01, "end": 3060.47, "word": " زي", "probability": 0.947509765625}, {"start": 3060.47, "end": 3061.03, "word": " جتا", "probability": 0.6666666666666666}, {"start": 3061.03, "end": 3062.23, "word": " الستين", "probability": 0.7964680989583334}, {"start": 3062.23, "end": 3063.91, "word": " جتا", "probability": 0.9567057291666666}, {"start": 3063.91, "end": 3064.71, "word": " الستين", "probability": 0.88916015625}, {"start": 3064.71, "end": 3065.49, "word": " بسالب", "probability": 0.8365478515625}, {"start": 3065.49, "end": 3065.93, "word": " نص", "probability": 0.98388671875}, {"start": 3065.93, "end": 3066.43, "word": " يبقى", "probability": 0.9571533203125}, {"start": 3066.43, "end": 3067.11, "word": " سالي", "probability": 0.9132486979166666}, {"start": 3067.11, "end": 3067.81, "word": " باتنين", "probability": 0.906005859375}, {"start": 3067.81, "end": 3068.73, "word": " لو", "probability": 0.96044921875}, {"start": 3068.73, "end": 3069.61, "word": " كملت", "probability": 0.9404296875}, {"start": 3069.61, "end": 3070.01, "word": " بظل", "probability": 0.8650716145833334}, {"start": 3070.01, "end": 3070.51, "word": " سالب", "probability": 0.97021484375}, {"start": 3070.51, "end": 3071.05, "word": " تلاتة", "probability": 0.950439453125}, {"start": 3071.05, "end": 3071.51, "word": " واربعة", "probability": 0.8411865234375}, {"start": 3071.51, "end": 3071.75, "word": " من", "probability": 0.9833984375}, {"start": 3071.75, "end": 3072.11, "word": " عشر", "probability": 0.75537109375}, {"start": 3072.11, "end": 3072.57, "word": " وهنا", "probability": 0.7386474609375}, {"start": 3072.57, "end": 3073.39, "word": " سالب", "probability": 0.9892578125}, {"start": 3073.39, "end": 3073.95, "word": " اربعة", "probability": 0.76513671875}], "temperature": 1.0}, {"id": 130, "seek": 310309, "start": 3075.59, "end": 3103.09, "text": "خلّي بالك كويس يبقى بدي امسح بس الجزء هذا مشان نرسم الرسم بشكل اكبر يبقى الرسم هتاخد الشكل التالي هذا theta تساوي zero وهذا theta تساوي πاي على الاتنين النقطة الأولى zero اربعة بدأ تبدأ من هنا", "tokens": [9778, 1211, 11703, 1829, 20666, 4117, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 2304, 3794, 5016, 4724, 3794, 25724, 11622, 38207, 23758, 37893, 7649, 8717, 2288, 38251, 34892, 38251, 4724, 8592, 28820, 1975, 4117, 26890, 7251, 3555, 4587, 7578, 34892, 38251, 8032, 2655, 47283, 3215, 25124, 28820, 16712, 6027, 1829, 23758, 9725, 6055, 3794, 995, 45865, 4018, 37037, 15730, 9725, 6055, 3794, 995, 45865, 4654, 47302, 15844, 2423, 9307, 1863, 9957, 28239, 47432, 3660, 16247, 12610, 7578, 4018, 1975, 25513, 27884, 47525, 10721, 6055, 44510, 10721, 9154, 34105], "avg_logprob": -0.23522418089534924, "compression_ratio": 1.7098445595854923, "no_speech_prob": 0.0, "words": [{"start": 3075.59, "end": 3075.95, "word": "خلّي", "probability": 0.6524658203125}, {"start": 3075.95, "end": 3076.25, "word": " بالك", "probability": 0.6552734375}, {"start": 3076.25, "end": 3076.75, "word": " كويس", "probability": 0.7126057942708334}, {"start": 3076.75, "end": 3077.61, "word": " يبقى", "probability": 0.86279296875}, {"start": 3077.61, "end": 3077.87, "word": " بدي", "probability": 0.6114501953125}, {"start": 3077.87, "end": 3078.25, "word": " امسح", "probability": 0.8507080078125}, {"start": 3078.25, "end": 3078.55, "word": " بس", "probability": 0.833984375}, {"start": 3078.55, "end": 3078.97, "word": " الجزء", "probability": 0.9519856770833334}, {"start": 3078.97, "end": 3079.37, "word": " هذا", "probability": 0.81494140625}, {"start": 3079.37, "end": 3079.81, "word": " مشان", "probability": 0.62060546875}, {"start": 3079.81, "end": 3080.21, "word": " نرسم", "probability": 0.9736328125}, {"start": 3080.21, "end": 3080.77, "word": " الرسم", "probability": 0.9375}, {"start": 3080.77, "end": 3082.31, "word": " بشكل", "probability": 0.9025065104166666}, {"start": 3082.31, "end": 3083.55, "word": " اكبر", "probability": 0.9090169270833334}, {"start": 3083.55, "end": 3090.11, "word": " يبقى", "probability": 0.9615478515625}, {"start": 3090.11, "end": 3090.43, "word": " الرسم", "probability": 0.957275390625}, {"start": 3090.43, "end": 3091.13, "word": " هتاخد", "probability": 0.9541015625}, {"start": 3091.13, "end": 3091.73, "word": " الشكل", "probability": 0.98046875}, {"start": 3091.73, "end": 3092.49, "word": " التالي", "probability": 0.9436848958333334}, {"start": 3092.49, "end": 3093.97, "word": " هذا", "probability": 0.75537109375}, {"start": 3093.97, "end": 3094.37, "word": " theta", "probability": 0.275634765625}, {"start": 3094.37, "end": 3095.07, "word": " تساوي", "probability": 0.8212890625}, {"start": 3095.07, "end": 3095.51, "word": " zero", "probability": 0.6630859375}, {"start": 3095.51, "end": 3096.57, "word": " وهذا", "probability": 0.79443359375}, {"start": 3096.57, "end": 3096.93, "word": " theta", "probability": 0.6845703125}, {"start": 3096.93, "end": 3097.63, "word": " تساوي", "probability": 0.9664306640625}, {"start": 3097.63, "end": 3098.31, "word": " πاي", "probability": 0.3428955078125}, {"start": 3098.31, "end": 3098.89, "word": " على", "probability": 0.7783203125}, {"start": 3098.89, "end": 3099.53, "word": " الاتنين", "probability": 0.7833251953125}, {"start": 3099.53, "end": 3100.57, "word": " النقطة", "probability": 0.8753255208333334}, {"start": 3100.57, "end": 3100.91, "word": " الأولى", "probability": 0.9140625}, {"start": 3100.91, "end": 3101.21, "word": " zero", "probability": 0.42431640625}, {"start": 3101.21, "end": 3101.83, "word": " اربعة", "probability": 0.7460123697916666}, {"start": 3101.83, "end": 3102.17, "word": " بدأ", "probability": 0.5220947265625}, {"start": 3102.17, "end": 3102.59, "word": " تبدأ", "probability": 0.9363606770833334}, {"start": 3102.59, "end": 3102.79, "word": " من", "probability": 0.9853515625}, {"start": 3102.79, "end": 3103.09, "word": " هنا", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 131, "seek": 312966, "start": 3105.08, "end": 3129.66, "text": "كمّل الجدول الجدول هتلاقي أجالك هيك تمام؟ وبعد هيك أجى ووقف هيك هذا كل جدولنا طلع خمس تاشر درجة هي خمس تاشر درجة قداشة خدنا عليها طول تلاتة صحيح وأربعة من عشرة لأن هذه كانت أربعة وزيرو", "tokens": [24793, 11703, 1211, 25724, 3215, 12610, 25724, 3215, 12610, 8032, 2655, 15040, 38436, 5551, 7435, 6027, 4117, 39896, 4117, 46811, 10943, 22807, 46599, 22488, 39896, 4117, 5551, 7435, 7578, 4032, 30543, 5172, 39896, 4117, 23758, 28242, 10874, 3215, 12610, 8315, 23032, 1211, 3615, 16490, 2304, 3794, 6055, 33599, 2288, 11778, 47341, 3660, 39896, 16490, 2304, 3794, 6055, 33599, 2288, 11778, 47341, 3660, 12174, 3215, 33599, 3660, 16490, 3215, 8315, 25894, 11296, 23032, 12610, 6055, 1211, 9307, 3660, 20328, 5016, 1829, 5016, 36725, 25513, 27884, 9154, 6225, 8592, 25720, 5296, 33456, 29538, 25961, 2655, 5551, 25513, 27884, 4032, 11622, 13546, 2407], "avg_logprob": -0.23143564415450144, "compression_ratio": 1.8444444444444446, "no_speech_prob": 0.0, "words": [{"start": 3105.08, "end": 3105.74, "word": "كمّل", "probability": 0.5789388020833334}, {"start": 3105.74, "end": 3107.18, "word": " الجدول", "probability": 0.7434895833333334}, {"start": 3107.18, "end": 3107.78, "word": " الجدول", "probability": 0.87548828125}, {"start": 3107.78, "end": 3108.38, "word": " هتلاقي", "probability": 0.8607177734375}, {"start": 3108.38, "end": 3109.44, "word": " أجالك", "probability": 0.81146240234375}, {"start": 3109.44, "end": 3110.82, "word": " هيك", "probability": 0.84912109375}, {"start": 3110.82, "end": 3111.82, "word": " تمام؟", "probability": 0.759765625}, {"start": 3111.82, "end": 3112.38, "word": " وبعد", "probability": 0.7705078125}, {"start": 3112.38, "end": 3113.1, "word": " هيك", "probability": 0.94970703125}, {"start": 3113.1, "end": 3113.54, "word": " أجى", "probability": 0.676513671875}, {"start": 3113.54, "end": 3113.94, "word": " ووقف", "probability": 0.884765625}, {"start": 3113.94, "end": 3114.4, "word": " هيك", "probability": 0.965087890625}, {"start": 3114.4, "end": 3116.04, "word": " هذا", "probability": 0.77734375}, {"start": 3116.04, "end": 3116.4, "word": " كل", "probability": 0.97607421875}, {"start": 3116.4, "end": 3117.16, "word": " جدولنا", "probability": 0.884033203125}, {"start": 3117.16, "end": 3117.82, "word": " طلع", "probability": 0.8336588541666666}, {"start": 3117.82, "end": 3118.96, "word": " خمس", "probability": 0.8733723958333334}, {"start": 3118.96, "end": 3119.54, "word": " تاشر", "probability": 0.5027262369791666}, {"start": 3119.54, "end": 3120.04, "word": " درجة", "probability": 0.9788411458333334}, {"start": 3120.04, "end": 3120.2, "word": " هي", "probability": 0.5166015625}, {"start": 3120.2, "end": 3120.62, "word": " خمس", "probability": 0.970703125}, {"start": 3120.62, "end": 3121.22, "word": " تاشر", "probability": 0.97509765625}, {"start": 3121.22, "end": 3121.84, "word": " درجة", "probability": 0.9913736979166666}, {"start": 3121.84, "end": 3122.94, "word": " قداشة", "probability": 0.7197265625}, {"start": 3122.94, "end": 3123.3, "word": " خدنا", "probability": 0.6766764322916666}, {"start": 3123.3, "end": 3123.64, "word": " عليها", "probability": 0.977294921875}, {"start": 3123.64, "end": 3123.9, "word": " طول", "probability": 0.990234375}, {"start": 3123.9, "end": 3124.48, "word": " تلاتة", "probability": 0.8931884765625}, {"start": 3124.48, "end": 3125.0, "word": " صحيح", "probability": 0.9920654296875}, {"start": 3125.0, "end": 3125.6, "word": " وأربعة", "probability": 0.8106282552083334}, {"start": 3125.6, "end": 3125.8, "word": " من", "probability": 0.99072265625}, {"start": 3125.8, "end": 3126.2, "word": " عشرة", "probability": 0.9052734375}, {"start": 3126.2, "end": 3126.46, "word": " لأن", "probability": 0.5985107421875}, {"start": 3126.46, "end": 3126.76, "word": " هذه", "probability": 0.69775390625}, {"start": 3126.76, "end": 3127.8, "word": " كانت", "probability": 0.992919921875}, {"start": 3127.8, "end": 3128.68, "word": " أربعة", "probability": 0.853515625}, {"start": 3128.68, "end": 3129.66, "word": " وزيرو", "probability": 0.73492431640625}], "temperature": 1.0}, {"id": 132, "seek": 315583, "start": 3130.21, "end": 3155.83, "text": "بعدها تلاتين درجة كبرناها شوية تلاتين درجة صار عندها هذه بعد التلاتين خمسة واربعين رجعنا ووصلنا للنقطة هذه بعد الخمسة واربعين ستين درجة يبقى هذه الستين درجة أخدنا في الخلف سالي باتنين يبقى لو مدناه على استقامته", "tokens": [3555, 22488, 11296, 6055, 1211, 9307, 9957, 11778, 47341, 3660, 9122, 26890, 8315, 11296, 13412, 2407, 10632, 6055, 1211, 9307, 9957, 11778, 47341, 3660, 20328, 9640, 43242, 11296, 29538, 39182, 16712, 1211, 9307, 9957, 16490, 2304, 3794, 3660, 4032, 9640, 3555, 3615, 9957, 12602, 7435, 3615, 8315, 4032, 2407, 36520, 8315, 24976, 1863, 47432, 3660, 29538, 39182, 33962, 2304, 3794, 3660, 4032, 9640, 3555, 3615, 9957, 8608, 2655, 9957, 11778, 47341, 3660, 7251, 3555, 4587, 7578, 29538, 21136, 2655, 9957, 11778, 47341, 3660, 5551, 9778, 3215, 8315, 8978, 33962, 46538, 8608, 6027, 1829, 4724, 9307, 1863, 9957, 7251, 3555, 4587, 7578, 45164, 3714, 3215, 8315, 3224, 15844, 44713, 4587, 10943, 47395], "avg_logprob": -0.11195591398115669, "compression_ratio": 2.2196531791907512, "no_speech_prob": 0.0, "words": [{"start": 3130.21, "end": 3131.03, "word": "بعدها", "probability": 0.9129231770833334}, {"start": 3131.03, "end": 3131.99, "word": " تلاتين", "probability": 0.9296875}, {"start": 3131.99, "end": 3132.57, "word": " درجة", "probability": 0.9913736979166666}, {"start": 3132.57, "end": 3133.73, "word": " كبرناها", "probability": 0.924072265625}, {"start": 3133.73, "end": 3134.39, "word": " شوية", "probability": 0.85986328125}, {"start": 3134.39, "end": 3135.51, "word": " تلاتين", "probability": 0.949462890625}, {"start": 3135.51, "end": 3136.05, "word": " درجة", "probability": 0.98876953125}, {"start": 3136.05, "end": 3136.45, "word": " صار", "probability": 0.915283203125}, {"start": 3136.45, "end": 3136.97, "word": " عندها", "probability": 0.9853515625}, {"start": 3136.97, "end": 3137.43, "word": " هذه", "probability": 0.34765625}, {"start": 3137.43, "end": 3138.33, "word": " بعد", "probability": 0.80322265625}, {"start": 3138.33, "end": 3139.17, "word": " التلاتين", "probability": 0.850341796875}, {"start": 3139.17, "end": 3139.73, "word": " خمسة", "probability": 0.9373779296875}, {"start": 3139.73, "end": 3140.29, "word": " واربعين", "probability": 0.760791015625}, {"start": 3140.29, "end": 3140.81, "word": " رجعنا", "probability": 0.9315185546875}, {"start": 3140.81, "end": 3141.47, "word": " ووصلنا", "probability": 0.8616943359375}, {"start": 3141.47, "end": 3142.21, "word": " للنقطة", "probability": 0.8980712890625}, {"start": 3142.21, "end": 3142.61, "word": " هذه", "probability": 0.861328125}, {"start": 3142.61, "end": 3143.73, "word": " بعد", "probability": 0.87841796875}, {"start": 3143.73, "end": 3144.49, "word": " الخمسة", "probability": 0.9654541015625}, {"start": 3144.49, "end": 3145.17, "word": " واربعين", "probability": 0.9337890625}, {"start": 3145.17, "end": 3146.33, "word": " ستين", "probability": 0.966796875}, {"start": 3146.33, "end": 3147.01, "word": " درجة", "probability": 0.9977213541666666}, {"start": 3147.01, "end": 3147.83, "word": " يبقى", "probability": 0.8887939453125}, {"start": 3147.83, "end": 3148.07, "word": " هذه", "probability": 0.3583984375}, {"start": 3148.07, "end": 3148.99, "word": " الستين", "probability": 0.8782552083333334}, {"start": 3148.99, "end": 3149.73, "word": " درجة", "probability": 0.99609375}, {"start": 3149.73, "end": 3150.53, "word": " أخدنا", "probability": 0.9339599609375}, {"start": 3150.53, "end": 3150.69, "word": " في", "probability": 0.966796875}, {"start": 3150.69, "end": 3151.19, "word": " الخلف", "probability": 0.962890625}, {"start": 3151.19, "end": 3151.87, "word": " سالي", "probability": 0.9417317708333334}, {"start": 3151.87, "end": 3152.59, "word": " باتنين", "probability": 0.9068603515625}, {"start": 3152.59, "end": 3153.41, "word": " يبقى", "probability": 0.9603271484375}, {"start": 3153.41, "end": 3153.65, "word": " لو", "probability": 0.8466796875}, {"start": 3153.65, "end": 3154.39, "word": " مدناه", "probability": 0.8470458984375}, {"start": 3154.39, "end": 3154.63, "word": " على", "probability": 0.93701171875}, {"start": 3154.63, "end": 3155.83, "word": " استقامته", "probability": 0.944580078125}], "temperature": 1.0}, {"id": 133, "seek": 318358, "start": 3156.2, "end": 3183.58, "text": "بدي اجيلك هك و بدي اجيلك سالب اتنين اما بعده سالب تلاتة صحيح اربعة من عشرة اللي بعده سالب اربعة هاي رسمناه الان في تمثل بالنسبة ل X تمثل بالنسبة ل Y تمثل بالنسبة لنقطة الاصل تمثل بالنسبة ل X يبقى هذا بدي يظهر جوز زيه جوز زيه الشكل هنا", "tokens": [3555, 16254, 1975, 7435, 1829, 23275, 8032, 4117, 4032, 4724, 16254, 1975, 7435, 1829, 23275, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 1975, 15042, 39182, 3224, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 20328, 5016, 1829, 5016, 1975, 25513, 27884, 9154, 6225, 8592, 25720, 13672, 1829, 39182, 3224, 8608, 6027, 3555, 1975, 25513, 27884, 8032, 47302, 12602, 38251, 8315, 3224, 2423, 7649, 8978, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 1783, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 398, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 1863, 47432, 3660, 2423, 33546, 1211, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 1783, 7251, 3555, 4587, 7578, 23758, 4724, 16254, 7251, 19913, 3224, 2288, 10874, 2407, 11622, 30767, 1829, 3224, 10874, 2407, 11622, 30767, 1829, 3224, 25124, 28820, 34105], "avg_logprob": -0.20670324905228069, "compression_ratio": 2.236559139784946, "no_speech_prob": 0.0, "words": [{"start": 3156.2, "end": 3156.7, "word": "بدي", "probability": 0.309814453125}, {"start": 3156.7, "end": 3157.44, "word": " اجيلك", "probability": 0.57391357421875}, {"start": 3157.44, "end": 3158.3, "word": " هك", "probability": 0.625732421875}, {"start": 3158.3, "end": 3158.98, "word": " و", "probability": 0.517578125}, {"start": 3158.98, "end": 3159.26, "word": " بدي", "probability": 0.7060546875}, {"start": 3159.26, "end": 3159.66, "word": " اجيلك", "probability": 0.948974609375}, {"start": 3159.66, "end": 3160.28, "word": " سالب", "probability": 0.7450358072916666}, {"start": 3160.28, "end": 3160.88, "word": " اتنين", "probability": 0.88134765625}, {"start": 3160.88, "end": 3161.66, "word": " اما", "probability": 0.5692138671875}, {"start": 3161.66, "end": 3162.34, "word": " بعده", "probability": 0.663330078125}, {"start": 3162.34, "end": 3162.86, "word": " سالب", "probability": 0.9046223958333334}, {"start": 3162.86, "end": 3163.38, "word": " تلاتة", "probability": 0.780517578125}, {"start": 3163.38, "end": 3163.78, "word": " صحيح", "probability": 0.957763671875}, {"start": 3163.78, "end": 3164.22, "word": " اربعة", "probability": 0.6288248697916666}, {"start": 3164.22, "end": 3164.4, "word": " من", "probability": 0.9853515625}, {"start": 3164.4, "end": 3164.78, "word": " عشرة", "probability": 0.8976236979166666}, {"start": 3164.78, "end": 3164.96, "word": " اللي", "probability": 0.91162109375}, {"start": 3164.96, "end": 3165.44, "word": " بعده", "probability": 0.830078125}, {"start": 3165.44, "end": 3166.16, "word": " سالب", "probability": 0.9822591145833334}, {"start": 3166.16, "end": 3166.86, "word": " اربعة", "probability": 0.8912760416666666}, {"start": 3166.86, "end": 3167.94, "word": " هاي", "probability": 0.4691162109375}, {"start": 3167.94, "end": 3168.76, "word": " رسمناه", "probability": 0.841796875}, {"start": 3168.76, "end": 3169.78, "word": " الان", "probability": 0.7210693359375}, {"start": 3169.78, "end": 3170.18, "word": " في", "probability": 0.69677734375}, {"start": 3170.18, "end": 3170.74, "word": " تمثل", "probability": 0.95458984375}, {"start": 3170.74, "end": 3171.24, "word": " بالنسبة", "probability": 0.989501953125}, {"start": 3171.24, "end": 3171.38, "word": " ل", "probability": 0.75048828125}, {"start": 3171.38, "end": 3171.58, "word": " X", "probability": 0.578125}, {"start": 3171.58, "end": 3172.1, "word": " تمثل", "probability": 0.9754231770833334}, {"start": 3172.1, "end": 3172.56, "word": " بالنسبة", "probability": 0.9959716796875}, {"start": 3172.56, "end": 3172.7, "word": " ل", "probability": 0.91943359375}, {"start": 3172.7, "end": 3172.86, "word": " Y", "probability": 0.94580078125}, {"start": 3172.86, "end": 3173.34, "word": " تمثل", "probability": 0.9835611979166666}, {"start": 3173.34, "end": 3174.36, "word": " بالنسبة", "probability": 0.994873046875}, {"start": 3174.36, "end": 3174.96, "word": " لنقطة", "probability": 0.85205078125}, {"start": 3174.96, "end": 3175.4, "word": " الاصل", "probability": 0.8839518229166666}, {"start": 3175.4, "end": 3175.9, "word": " تمثل", "probability": 0.9781901041666666}, {"start": 3175.9, "end": 3176.38, "word": " بالنسبة", "probability": 0.9974365234375}, {"start": 3176.38, "end": 3176.54, "word": " ل", "probability": 0.97265625}, {"start": 3176.54, "end": 3176.82, "word": " X", "probability": 0.95703125}, {"start": 3176.82, "end": 3177.54, "word": " يبقى", "probability": 0.84033203125}, {"start": 3177.54, "end": 3177.78, "word": " هذا", "probability": 0.9013671875}, {"start": 3177.78, "end": 3178.08, "word": " بدي", "probability": 0.552490234375}, {"start": 3178.08, "end": 3178.6, "word": " يظهر", "probability": 0.97021484375}, {"start": 3178.6, "end": 3179.52, "word": " جوز", "probability": 0.6551920572916666}, {"start": 3179.52, "end": 3180.22, "word": " زيه", "probability": 0.9527994791666666}, {"start": 3180.22, "end": 3182.32, "word": " جوز", "probability": 0.8125}, {"start": 3182.32, "end": 3182.8, "word": " زيه", "probability": 0.9871419270833334}, {"start": 3182.8, "end": 3183.32, "word": " الشكل", "probability": 0.781982421875}, {"start": 3183.32, "end": 3183.58, "word": " هنا", "probability": 0.89599609375}], "temperature": 1.0}, {"id": 134, "seek": 319113, "start": 3184.61, "end": 3191.13, "text": "تمثل بالنسبة ليكسيب جهد الجثه بده يظهر كمان جثه تاني زي و هيك", "tokens": [39237, 12984, 1211, 20666, 1863, 35457, 3660, 32239, 4117, 3794, 1829, 3555, 10874, 3224, 3215, 25724, 12984, 3224, 47525, 3224, 7251, 19913, 3224, 2288, 9122, 2304, 7649, 10874, 12984, 3224, 6055, 7649, 1829, 30767, 1829, 4032, 39896, 4117], "avg_logprob": -0.3764022451180678, "compression_ratio": 1.3095238095238095, "no_speech_prob": 0.0, "words": [{"start": 3184.61, "end": 3185.31, "word": "تمثل", "probability": 0.84423828125}, {"start": 3185.31, "end": 3185.83, "word": " بالنسبة", "probability": 0.9713134765625}, {"start": 3185.83, "end": 3186.27, "word": " ليكسيب", "probability": 0.730908203125}, {"start": 3186.27, "end": 3186.65, "word": " جهد", "probability": 0.4246826171875}, {"start": 3186.65, "end": 3187.15, "word": " الجثه", "probability": 0.480072021484375}, {"start": 3187.15, "end": 3187.41, "word": " بده", "probability": 0.4093017578125}, {"start": 3187.41, "end": 3188.01, "word": " يظهر", "probability": 0.9964599609375}, {"start": 3188.01, "end": 3188.79, "word": " كمان", "probability": 0.8738606770833334}, {"start": 3188.79, "end": 3189.69, "word": " جثه", "probability": 0.919921875}, {"start": 3189.69, "end": 3190.09, "word": " تاني", "probability": 0.8678385416666666}, {"start": 3190.09, "end": 3190.43, "word": " زي", "probability": 0.980712890625}, {"start": 3190.43, "end": 3190.63, "word": " و", "probability": 0.333251953125}, {"start": 3190.63, "end": 3191.13, "word": " هيك", "probability": 0.787841796875}], "temperature": 1.0}, {"id": 135, "seek": 321972, "start": 3192.48, "end": 3219.72, "text": "الان في تمثل بالنسبة لواي يبقى هذا تمثل بالنسبة لواي معناته هذا جوس بده يظهر زيه وهذا جوس بده يظهر زيه والورقة اللي على اليمين بده يظهر زيها وورقة على الشمال يبقى منحنة الظهرة دول أربع ورقات يبقى هذا اسمه four petals rose", "tokens": [6027, 7649, 8978, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 14407, 1829, 7251, 3555, 4587, 7578, 23758, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 5296, 14407, 1829, 20449, 8315, 47395, 23758, 10874, 41779, 47525, 3224, 7251, 19913, 3224, 2288, 30767, 1829, 3224, 37037, 15730, 10874, 41779, 47525, 3224, 7251, 19913, 3224, 2288, 30767, 1829, 3224, 16070, 13063, 28671, 13672, 1829, 15844, 2423, 32640, 9957, 47525, 3224, 7251, 19913, 3224, 2288, 30767, 1829, 11296, 4032, 13063, 28671, 15844, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 9154, 5016, 1863, 3660, 6024, 116, 3224, 25720, 11778, 12610, 5551, 25513, 3615, 4032, 2288, 4587, 9307, 7251, 3555, 4587, 7578, 23758, 24525, 2304, 3224, 1451, 31530, 10895], "avg_logprob": -0.16844846595797622, "compression_ratio": 2.097826086956522, "no_speech_prob": 0.0, "words": [{"start": 3192.48, "end": 3192.94, "word": "الان", "probability": 0.61962890625}, {"start": 3192.94, "end": 3193.1, "word": " في", "probability": 0.41943359375}, {"start": 3193.1, "end": 3193.64, "word": " تمثل", "probability": 0.8896484375}, {"start": 3193.64, "end": 3194.22, "word": " بالنسبة", "probability": 0.9912109375}, {"start": 3194.22, "end": 3194.88, "word": " لواي", "probability": 0.7379557291666666}, {"start": 3194.88, "end": 3195.92, "word": " يبقى", "probability": 0.646484375}, {"start": 3195.92, "end": 3196.32, "word": " هذا", "probability": 0.75}, {"start": 3196.32, "end": 3196.92, "word": " تمثل", "probability": 0.9392903645833334}, {"start": 3196.92, "end": 3197.26, "word": " بالنسبة", "probability": 0.9937744140625}, {"start": 3197.26, "end": 3197.82, "word": " لواي", "probability": 0.9065755208333334}, {"start": 3197.82, "end": 3198.4, "word": " معناته", "probability": 0.7925618489583334}, {"start": 3198.4, "end": 3198.82, "word": " هذا", "probability": 0.8466796875}, {"start": 3198.82, "end": 3199.76, "word": " جوس", "probability": 0.82177734375}, {"start": 3199.76, "end": 3200.2, "word": " بده", "probability": 0.6365966796875}, {"start": 3200.2, "end": 3200.66, "word": " يظهر", "probability": 0.996826171875}, {"start": 3200.66, "end": 3201.24, "word": " زيه", "probability": 0.9679361979166666}, {"start": 3201.24, "end": 3202.32, "word": " وهذا", "probability": 0.694580078125}, {"start": 3202.32, "end": 3202.8, "word": " جوس", "probability": 0.947998046875}, {"start": 3202.8, "end": 3203.12, "word": " بده", "probability": 0.908447265625}, {"start": 3203.12, "end": 3203.52, "word": " يظهر", "probability": 0.9981689453125}, {"start": 3203.52, "end": 3204.08, "word": " زيه", "probability": 0.9845377604166666}, {"start": 3204.08, "end": 3205.12, "word": " والورقة", "probability": 0.7623697916666666}, {"start": 3205.12, "end": 3205.44, "word": " اللي", "probability": 0.87890625}, {"start": 3205.44, "end": 3205.7, "word": " على", "probability": 0.74365234375}, {"start": 3205.7, "end": 3206.46, "word": " اليمين", "probability": 0.90771484375}, {"start": 3206.46, "end": 3206.92, "word": " بده", "probability": 0.874267578125}, {"start": 3206.92, "end": 3207.44, "word": " يظهر", "probability": 0.998291015625}, {"start": 3207.44, "end": 3208.02, "word": " زيها", "probability": 0.88232421875}, {"start": 3208.02, "end": 3208.5, "word": " وورقة", "probability": 0.8294270833333334}, {"start": 3208.5, "end": 3208.78, "word": " على", "probability": 0.7880859375}, {"start": 3208.78, "end": 3209.58, "word": " الشمال", "probability": 0.8650716145833334}, {"start": 3209.58, "end": 3211.1, "word": " يبقى", "probability": 0.9688720703125}, {"start": 3211.1, "end": 3211.74, "word": " منحنة", "probability": 0.763916015625}, {"start": 3211.74, "end": 3212.18, "word": " الظهرة", "probability": 0.7186279296875}, {"start": 3212.18, "end": 3212.5, "word": " دول", "probability": 0.924072265625}, {"start": 3212.5, "end": 3213.24, "word": " أربع", "probability": 0.8028971354166666}, {"start": 3213.24, "end": 3214.2, "word": " ورقات", "probability": 0.9556884765625}, {"start": 3214.2, "end": 3214.64, "word": " يبقى", "probability": 0.9525146484375}, {"start": 3214.64, "end": 3215.0, "word": " هذا", "probability": 0.87841796875}, {"start": 3215.0, "end": 3215.98, "word": " اسمه", "probability": 0.9710286458333334}, {"start": 3215.98, "end": 3216.72, "word": " four", "probability": 0.7158203125}, {"start": 3216.72, "end": 3218.34, "word": " petals", "probability": 0.90625}, {"start": 3218.34, "end": 3219.72, "word": " rose", "probability": 0.73291015625}], "temperature": 1.0}, {"id": 136, "seek": 324000, "start": 3221.08, "end": 3240.0, "text": "منحنى الزهرة دول أربع ورقات طيب لو جينا رسمنا المنحنى التاني اللي هو sin 2θ يبقى بدي يكون شكله بالشكل هذا هذا θ تساوي zero و هذا θ تساوي pi على اتنين", "tokens": [27842, 5016, 1863, 7578, 6024, 110, 3224, 25720, 11778, 12610, 5551, 25513, 3615, 4032, 2288, 4587, 9307, 23032, 1829, 3555, 45164, 10874, 1829, 8315, 12602, 38251, 8315, 9673, 1863, 5016, 1863, 7578, 16712, 7649, 1829, 13672, 1829, 31439, 3343, 568, 9440, 7251, 3555, 4587, 7578, 4724, 16254, 7251, 30544, 13412, 28820, 3224, 20666, 8592, 28820, 23758, 23758, 12622, 6055, 3794, 995, 45865, 4018, 4032, 23758, 12622, 6055, 3794, 995, 45865, 3895, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.2755681895590448, "compression_ratio": 1.5864197530864197, "no_speech_prob": 0.0, "words": [{"start": 3221.08, "end": 3221.84, "word": "منحنى", "probability": 0.756103515625}, {"start": 3221.84, "end": 3222.36, "word": " الزهرة", "probability": 0.8157958984375}, {"start": 3222.36, "end": 3222.62, "word": " دول", "probability": 0.660888671875}, {"start": 3222.62, "end": 3223.28, "word": " أربع", "probability": 0.8068033854166666}, {"start": 3223.28, "end": 3224.08, "word": " ورقات", "probability": 0.9697265625}, {"start": 3224.08, "end": 3224.74, "word": " طيب", "probability": 0.6143391927083334}, {"start": 3224.74, "end": 3225.02, "word": " لو", "probability": 0.95751953125}, {"start": 3225.02, "end": 3225.3, "word": " جينا", "probability": 0.9195963541666666}, {"start": 3225.3, "end": 3225.86, "word": " رسمنا", "probability": 0.8909505208333334}, {"start": 3225.86, "end": 3226.56, "word": " المنحنى", "probability": 0.9744140625}, {"start": 3226.56, "end": 3227.3, "word": " التاني", "probability": 0.8225911458333334}, {"start": 3227.3, "end": 3228.06, "word": " اللي", "probability": 0.7490234375}, {"start": 3228.06, "end": 3228.3, "word": " هو", "probability": 0.98779296875}, {"start": 3228.3, "end": 3228.9, "word": " sin", "probability": 0.3486328125}, {"start": 3228.9, "end": 3230.32, "word": " 2θ", "probability": 0.53662109375}, {"start": 3230.32, "end": 3231.44, "word": " يبقى", "probability": 0.9276123046875}, {"start": 3231.44, "end": 3231.7, "word": " بدي", "probability": 0.419189453125}, {"start": 3231.7, "end": 3232.16, "word": " يكون", "probability": 0.86376953125}, {"start": 3232.16, "end": 3232.9, "word": " شكله", "probability": 0.9793294270833334}, {"start": 3232.9, "end": 3233.52, "word": " بالشكل", "probability": 0.9033203125}, {"start": 3233.52, "end": 3233.98, "word": " هذا", "probability": 0.94921875}, {"start": 3233.98, "end": 3235.1, "word": " هذا", "probability": 0.392333984375}, {"start": 3235.1, "end": 3235.46, "word": " θ", "probability": 0.425537109375}, {"start": 3235.46, "end": 3236.18, "word": " تساوي", "probability": 0.8419189453125}, {"start": 3236.18, "end": 3236.68, "word": " zero", "probability": 0.4462890625}, {"start": 3236.68, "end": 3237.26, "word": " و", "probability": 0.494873046875}, {"start": 3237.26, "end": 3237.54, "word": " هذا", "probability": 0.849609375}, {"start": 3237.54, "end": 3237.9, "word": " θ", "probability": 0.5849609375}, {"start": 3237.9, "end": 3238.58, "word": " تساوي", "probability": 0.98291015625}, {"start": 3238.58, "end": 3238.9, "word": " pi", "probability": 0.18505859375}, {"start": 3238.9, "end": 3239.28, "word": " على", "probability": 0.430419921875}, {"start": 3239.28, "end": 3240.0, "word": " اتنين", "probability": 0.84002685546875}], "temperature": 1.0}, {"id": 137, "seek": 326705, "start": 3242.09, "end": 3267.05, "text": "هذا ثيتا تساوي باية على أربعة ومن الناحية هذه ثيتا تساوي تلاتة باية على أربعة طل على الرسم شيء بدي يكون يبقى هذا ورقة وهذه ورقة تانية وهذه التالتة وهذه الرابعة أقولك زخرة فاليوم عندك تمام؟", "tokens": [3224, 15730, 38637, 36081, 995, 6055, 3794, 995, 45865, 4724, 995, 10632, 15844, 5551, 25513, 27884, 4032, 27842, 2423, 8315, 5016, 10632, 29538, 38637, 36081, 995, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 4724, 995, 10632, 15844, 5551, 25513, 27884, 23032, 1211, 15844, 34892, 38251, 44049, 38207, 4724, 16254, 7251, 30544, 7251, 3555, 4587, 7578, 23758, 4032, 2288, 28671, 37037, 24192, 4032, 2288, 28671, 6055, 7649, 10632, 37037, 24192, 16712, 6027, 2655, 3660, 37037, 24192, 34892, 16758, 27884, 5551, 39648, 4117, 30767, 9778, 25720, 6156, 6027, 1829, 20498, 43242, 4117, 46811, 10943, 22807], "avg_logprob": -0.22171052568837216, "compression_ratio": 1.9710982658959537, "no_speech_prob": 0.0, "words": [{"start": 3242.09, "end": 3242.57, "word": "هذا", "probability": 0.6640625}, {"start": 3242.57, "end": 3243.09, "word": " ثيتا", "probability": 0.6593017578125}, {"start": 3243.09, "end": 3243.67, "word": " تساوي", "probability": 0.862548828125}, {"start": 3243.67, "end": 3244.27, "word": " باية", "probability": 0.4207356770833333}, {"start": 3244.27, "end": 3244.59, "word": " على", "probability": 0.74853515625}, {"start": 3244.59, "end": 3245.49, "word": " أربعة", "probability": 0.888671875}, {"start": 3245.49, "end": 3246.25, "word": " ومن", "probability": 0.614013671875}, {"start": 3246.25, "end": 3246.87, "word": " الناحية", "probability": 0.8939208984375}, {"start": 3246.87, "end": 3247.45, "word": " هذه", "probability": 0.9111328125}, {"start": 3247.45, "end": 3248.37, "word": " ثيتا", "probability": 0.8544921875}, {"start": 3248.37, "end": 3248.99, "word": " تساوي", "probability": 0.9725341796875}, {"start": 3248.99, "end": 3249.85, "word": " تلاتة", "probability": 0.9013671875}, {"start": 3249.85, "end": 3250.31, "word": " باية", "probability": 0.95263671875}, {"start": 3250.31, "end": 3250.65, "word": " على", "probability": 0.88623046875}, {"start": 3250.65, "end": 3251.27, "word": " أربعة", "probability": 0.9466145833333334}, {"start": 3251.27, "end": 3252.25, "word": " طل", "probability": 0.75390625}, {"start": 3252.25, "end": 3252.45, "word": " على", "probability": 0.495361328125}, {"start": 3252.45, "end": 3252.91, "word": " الرسم", "probability": 0.907470703125}, {"start": 3252.91, "end": 3253.25, "word": " شيء", "probability": 0.6158447265625}, {"start": 3253.25, "end": 3253.47, "word": " بدي", "probability": 0.556640625}, {"start": 3253.47, "end": 3253.91, "word": " يكون", "probability": 0.96875}, {"start": 3253.91, "end": 3255.03, "word": " يبقى", "probability": 0.907958984375}, {"start": 3255.03, "end": 3255.67, "word": " هذا", "probability": 0.9423828125}, {"start": 3255.67, "end": 3257.03, "word": " ورقة", "probability": 0.9720052083333334}, {"start": 3257.03, "end": 3257.59, "word": " وهذه", "probability": 0.5819091796875}, {"start": 3257.59, "end": 3258.07, "word": " ورقة", "probability": 0.9894205729166666}, {"start": 3258.07, "end": 3258.71, "word": " تانية", "probability": 0.9700520833333334}, {"start": 3258.71, "end": 3259.85, "word": " وهذه", "probability": 0.923828125}, {"start": 3259.85, "end": 3260.93, "word": " التالتة", "probability": 0.9058837890625}, {"start": 3260.93, "end": 3262.09, "word": " وهذه", "probability": 0.948486328125}, {"start": 3262.09, "end": 3262.79, "word": " الرابعة", "probability": 0.9523111979166666}, {"start": 3262.79, "end": 3263.61, "word": " أقولك", "probability": 0.5251871744791666}, {"start": 3263.61, "end": 3264.47, "word": " زخرة", "probability": 0.7916666666666666}, {"start": 3264.47, "end": 3264.93, "word": " فاليوم", "probability": 0.8363037109375}, {"start": 3264.93, "end": 3265.61, "word": " عندك", "probability": 0.97265625}, {"start": 3265.61, "end": 3267.05, "word": " تمام؟", "probability": 0.8505859375}], "temperature": 1.0}, {"id": 138, "seek": 327911, "start": 3268.03, "end": 3279.11, "text": "طيب، لاحظ، تماثل بالنسبة ل X، تماثل بالنسبة ل Y، تماثل كذلك بالنسبة لل origin. هذه نمرة B، نمرة C", "tokens": [9566, 1829, 3555, 12399, 20193, 5016, 19913, 12399, 46811, 5718, 104, 1211, 20666, 1863, 35457, 3660, 5296, 1783, 12399, 46811, 5718, 104, 1211, 20666, 1863, 35457, 3660, 5296, 398, 12399, 46811, 5718, 104, 1211, 9122, 8848, 23275, 20666, 1863, 35457, 3660, 24976, 4957, 13, 29538, 8717, 2304, 25720, 363, 12399, 8717, 2304, 25720, 383], "avg_logprob": -0.1931818127632141, "compression_ratio": 1.6565656565656566, "no_speech_prob": 0.0, "words": [{"start": 3268.03, "end": 3268.63, "word": "طيب،", "probability": 0.6988525390625}, {"start": 3268.63, "end": 3269.43, "word": " لاحظ،", "probability": 0.802734375}, {"start": 3269.43, "end": 3269.87, "word": " تماثل", "probability": 0.8314208984375}, {"start": 3269.87, "end": 3270.39, "word": " بالنسبة", "probability": 0.9554443359375}, {"start": 3270.39, "end": 3270.49, "word": " ل", "probability": 0.771484375}, {"start": 3270.49, "end": 3271.57, "word": " X،", "probability": 0.4578857421875}, {"start": 3271.57, "end": 3272.11, "word": " تماثل", "probability": 0.982177734375}, {"start": 3272.11, "end": 3272.65, "word": " بالنسبة", "probability": 0.9969482421875}, {"start": 3272.65, "end": 3272.77, "word": " ل", "probability": 0.9716796875}, {"start": 3272.77, "end": 3273.39, "word": " Y،", "probability": 0.93603515625}, {"start": 3273.39, "end": 3273.85, "word": " تماثل", "probability": 0.985595703125}, {"start": 3273.85, "end": 3274.27, "word": " كذلك", "probability": 0.9833984375}, {"start": 3274.27, "end": 3274.89, "word": " بالنسبة", "probability": 0.9974365234375}, {"start": 3274.89, "end": 3275.11, "word": " لل", "probability": 0.8603515625}, {"start": 3275.11, "end": 3275.65, "word": " origin.", "probability": 0.775390625}, {"start": 3276.19, "end": 3276.71, "word": " هذه", "probability": 0.70166015625}, {"start": 3276.71, "end": 3277.23, "word": " نمرة", "probability": 0.8400065104166666}, {"start": 3277.23, "end": 3278.15, "word": " B،", "probability": 0.637451171875}, {"start": 3278.15, "end": 3278.69, "word": " نمرة", "probability": 0.9488932291666666}, {"start": 3278.69, "end": 3279.11, "word": " C", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 139, "seek": 330896, "start": 3280.18, "end": 3308.96, "text": "نمرى C هي المحاولة هي θ تساوي zero و θ تساوي باي على اتنين فالعلي كوصين يبقى فيه تمثل بالنسبة لمح و ركز يبقى هاي ورقة و يتيجي لك ورقة تانية هنا و ورقة تالتة هنا اخر حاجة نمرى D نمرى D يبقى هاي ورقة هيك و هاي ورقة هيك", "tokens": [1863, 29973, 7578, 383, 39896, 9673, 5016, 995, 12610, 3660, 39896, 12622, 6055, 3794, 995, 45865, 4018, 4032, 12622, 6055, 3794, 995, 45865, 4724, 47302, 15844, 1975, 2655, 1863, 9957, 6156, 6027, 3615, 20292, 9122, 2407, 9381, 9957, 7251, 3555, 4587, 7578, 8978, 3224, 46811, 12984, 1211, 20666, 1863, 35457, 3660, 32767, 5016, 4032, 12602, 4117, 11622, 7251, 3555, 4587, 7578, 8032, 47302, 4032, 2288, 28671, 4032, 7251, 31371, 7435, 1829, 5296, 4117, 4032, 2288, 28671, 6055, 7649, 10632, 34105, 4032, 4032, 2288, 28671, 6055, 6027, 2655, 3660, 34105, 1975, 34740, 11331, 26108, 3660, 8717, 29973, 7578, 413, 8717, 29973, 7578, 413, 7251, 3555, 4587, 7578, 8032, 47302, 4032, 2288, 28671, 39896, 4117, 4032, 8032, 47302, 4032, 2288, 28671, 39896, 4117], "avg_logprob": -0.22143954759249923, "compression_ratio": 2.021505376344086, "no_speech_prob": 0.0, "words": [{"start": 3280.18, "end": 3280.8, "word": "نمرى", "probability": 0.428955078125}, {"start": 3280.8, "end": 3280.98, "word": " C", "probability": 0.64794921875}, {"start": 3280.98, "end": 3281.34, "word": " هي", "probability": 0.53564453125}, {"start": 3281.34, "end": 3282.6, "word": " المحاولة", "probability": 0.8609375}, {"start": 3282.6, "end": 3282.9, "word": " هي", "probability": 0.275146484375}, {"start": 3282.9, "end": 3283.2, "word": " θ", "probability": 0.63037109375}, {"start": 3283.2, "end": 3283.92, "word": " تساوي", "probability": 0.859375}, {"start": 3283.92, "end": 3284.4, "word": " zero", "probability": 0.265869140625}, {"start": 3284.4, "end": 3285.06, "word": " و", "probability": 0.79443359375}, {"start": 3285.06, "end": 3285.34, "word": " θ", "probability": 0.650390625}, {"start": 3285.34, "end": 3286.36, "word": " تساوي", "probability": 0.985107421875}, {"start": 3286.36, "end": 3287.42, "word": " باي", "probability": 0.28131103515625}, {"start": 3287.42, "end": 3288.12, "word": " على", "probability": 0.69091796875}, {"start": 3288.12, "end": 3289.24, "word": " اتنين", "probability": 0.908935546875}, {"start": 3289.24, "end": 3290.44, "word": " فالعلي", "probability": 0.7188720703125}, {"start": 3290.44, "end": 3291.26, "word": " كوصين", "probability": 0.535888671875}, {"start": 3291.26, "end": 3291.56, "word": " يبقى", "probability": 0.9320068359375}, {"start": 3291.56, "end": 3291.86, "word": " فيه", "probability": 0.902587890625}, {"start": 3291.86, "end": 3292.36, "word": " تمثل", "probability": 0.97607421875}, {"start": 3292.36, "end": 3292.88, "word": " بالنسبة", "probability": 0.9310302734375}, {"start": 3292.88, "end": 3293.24, "word": " لمح", "probability": 0.8349609375}, {"start": 3293.24, "end": 3293.4, "word": " و", "probability": 0.6328125}, {"start": 3293.4, "end": 3293.76, "word": " ركز", "probability": 0.7517903645833334}, {"start": 3293.76, "end": 3294.74, "word": " يبقى", "probability": 0.9788818359375}, {"start": 3294.74, "end": 3294.98, "word": " هاي", "probability": 0.67138671875}, {"start": 3294.98, "end": 3295.52, "word": " ورقة", "probability": 0.953125}, {"start": 3295.52, "end": 3296.2, "word": " و", "probability": 0.810546875}, {"start": 3296.2, "end": 3296.54, "word": " يتيجي", "probability": 0.7159423828125}, {"start": 3296.54, "end": 3296.8, "word": " لك", "probability": 0.7235107421875}, {"start": 3296.8, "end": 3297.24, "word": " ورقة", "probability": 0.9833984375}, {"start": 3297.24, "end": 3297.76, "word": " تانية", "probability": 0.9729817708333334}, {"start": 3297.76, "end": 3298.22, "word": " هنا", "probability": 0.9345703125}, {"start": 3298.22, "end": 3298.7, "word": " و", "probability": 0.99560546875}, {"start": 3298.7, "end": 3299.12, "word": " ورقة", "probability": 0.97802734375}, {"start": 3299.12, "end": 3299.62, "word": " تالتة", "probability": 0.97802734375}, {"start": 3299.62, "end": 3299.94, "word": " هنا", "probability": 0.9716796875}, {"start": 3299.94, "end": 3301.16, "word": " اخر", "probability": 0.79736328125}, {"start": 3301.16, "end": 3301.62, "word": " حاجة", "probability": 0.9866536458333334}, {"start": 3301.62, "end": 3302.18, "word": " نمرى", "probability": 0.9641927083333334}, {"start": 3302.18, "end": 3302.4, "word": " D", "probability": 0.9736328125}, {"start": 3302.4, "end": 3303.88, "word": " نمرى", "probability": 0.812744140625}, {"start": 3303.88, "end": 3304.26, "word": " D", "probability": 0.9814453125}, {"start": 3304.26, "end": 3305.36, "word": " يبقى", "probability": 0.991455078125}, {"start": 3305.36, "end": 3305.62, "word": " هاي", "probability": 0.827392578125}, {"start": 3305.62, "end": 3306.12, "word": " ورقة", "probability": 0.9827473958333334}, {"start": 3306.12, "end": 3306.84, "word": " هيك", "probability": 0.7283935546875}, {"start": 3306.84, "end": 3307.56, "word": " و", "probability": 0.583984375}, {"start": 3307.56, "end": 3307.78, "word": " هاي", "probability": 0.780029296875}, {"start": 3307.78, "end": 3308.34, "word": " ورقة", "probability": 0.9853515625}, {"start": 3308.34, "end": 3308.96, "word": " هيك", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 140, "seek": 333587, "start": 3309.95, "end": 3335.87, "text": "وهذه هيك وهذه هيك طبعا هنا تمثل فقط بالنسبة ل Y هنا تمثل فقط بالنسبة ل X طيب هذه نمرة C وهذه نمرة D الملاحظة الأخيرة اللي بدي أقولها و أطلعوا فيها كويس لما كان عندي Sin 2θ أو Cos 2θ بقال عندي كم ورقة", "tokens": [2407, 3224, 24192, 39896, 4117, 37037, 24192, 39896, 4117, 23032, 3555, 3615, 995, 34105, 46811, 12984, 1211, 6156, 47432, 20666, 1863, 35457, 3660, 5296, 398, 34105, 46811, 12984, 1211, 6156, 47432, 20666, 1863, 35457, 3660, 5296, 1783, 23032, 1829, 3555, 29538, 8717, 2304, 25720, 383, 37037, 24192, 8717, 2304, 25720, 413, 9673, 15040, 5016, 19913, 3660, 16247, 9778, 48923, 13672, 1829, 4724, 16254, 5551, 39648, 11296, 4032, 5551, 9566, 1211, 3615, 14407, 8978, 11296, 9122, 45865, 3794, 5296, 15042, 25961, 18871, 16254, 11187, 568, 9440, 34051, 15855, 568, 9440, 4724, 4587, 6027, 18871, 16254, 9122, 2304, 4032, 2288, 28671], "avg_logprob": -0.2490624886751175, "compression_ratio": 1.8, "no_speech_prob": 0.0, "words": [{"start": 3309.95, "end": 3310.77, "word": "وهذه", "probability": 0.4519856770833333}, {"start": 3310.77, "end": 3311.49, "word": " هيك", "probability": 0.4686279296875}, {"start": 3311.49, "end": 3312.51, "word": " وهذه", "probability": 0.849365234375}, {"start": 3312.51, "end": 3313.49, "word": " هيك", "probability": 0.95263671875}, {"start": 3313.49, "end": 3314.61, "word": " طبعا", "probability": 0.7841796875}, {"start": 3314.61, "end": 3315.39, "word": " هنا", "probability": 0.50048828125}, {"start": 3315.39, "end": 3315.95, "word": " تمثل", "probability": 0.9366861979166666}, {"start": 3315.95, "end": 3316.41, "word": " فقط", "probability": 0.962890625}, {"start": 3316.41, "end": 3316.97, "word": " بالنسبة", "probability": 0.99365234375}, {"start": 3316.97, "end": 3317.09, "word": " ل", "probability": 0.8564453125}, {"start": 3317.09, "end": 3317.43, "word": " Y", "probability": 0.6455078125}, {"start": 3317.43, "end": 3318.13, "word": " هنا", "probability": 0.88818359375}, {"start": 3318.13, "end": 3318.71, "word": " تمثل", "probability": 0.94580078125}, {"start": 3318.71, "end": 3319.21, "word": " فقط", "probability": 0.9814453125}, {"start": 3319.21, "end": 3320.13, "word": " بالنسبة", "probability": 0.996337890625}, {"start": 3320.13, "end": 3320.57, "word": " ل", "probability": 0.9677734375}, {"start": 3320.57, "end": 3320.99, "word": " X", "probability": 0.92236328125}, {"start": 3320.99, "end": 3321.89, "word": " طيب", "probability": 0.90625}, {"start": 3321.89, "end": 3322.41, "word": " هذه", "probability": 0.7841796875}, {"start": 3322.41, "end": 3322.81, "word": " نمرة", "probability": 0.8650716145833334}, {"start": 3322.81, "end": 3323.27, "word": " C", "probability": 0.9345703125}, {"start": 3323.27, "end": 3324.31, "word": " وهذه", "probability": 0.840576171875}, {"start": 3324.31, "end": 3324.79, "word": " نمرة", "probability": 0.9514973958333334}, {"start": 3324.79, "end": 3325.09, "word": " D", "probability": 0.998046875}, {"start": 3325.09, "end": 3326.47, "word": " الملاحظة", "probability": 0.98662109375}, {"start": 3326.47, "end": 3326.97, "word": " الأخيرة", "probability": 0.9544270833333334}, {"start": 3326.97, "end": 3327.13, "word": " اللي", "probability": 0.838623046875}, {"start": 3327.13, "end": 3327.39, "word": " بدي", "probability": 0.433837890625}, {"start": 3327.39, "end": 3327.77, "word": " أقولها", "probability": 0.89990234375}, {"start": 3327.77, "end": 3327.93, "word": " و", "probability": 0.85498046875}, {"start": 3327.93, "end": 3328.53, "word": " أطلعوا", "probability": 0.76044921875}, {"start": 3328.53, "end": 3328.79, "word": " فيها", "probability": 0.8642578125}, {"start": 3328.79, "end": 3329.31, "word": " كويس", "probability": 0.9361979166666666}, {"start": 3329.31, "end": 3330.03, "word": " لما", "probability": 0.895751953125}, {"start": 3330.03, "end": 3330.37, "word": " كان", "probability": 0.982421875}, {"start": 3330.37, "end": 3330.67, "word": " عندي", "probability": 0.84033203125}, {"start": 3330.67, "end": 3331.11, "word": " Sin", "probability": 0.213134765625}, {"start": 3331.11, "end": 3331.85, "word": " 2θ", "probability": 0.455810546875}, {"start": 3331.85, "end": 3332.25, "word": " أو", "probability": 0.75927734375}, {"start": 3332.25, "end": 3332.63, "word": " Cos", "probability": 0.8310546875}, {"start": 3332.63, "end": 3334.09, "word": " 2θ", "probability": 0.9345703125}, {"start": 3334.09, "end": 3334.69, "word": " بقال", "probability": 0.2792154947916667}, {"start": 3334.69, "end": 3335.03, "word": " عندي", "probability": 0.9609375}, {"start": 3335.03, "end": 3335.31, "word": " كم", "probability": 0.73046875}, {"start": 3335.31, "end": 3335.87, "word": " ورقة", "probability": 0.9827473958333334}], "temperature": 1.0}, {"id": 141, "seek": 335178, "start": 3336.62, "end": 3351.78, "text": "أربعة ورقات يعني لو كان cosine أربعة ثيتا أو cosine أربعة ثيتا بدي يطلع عندي قداش تمان ورقات يعني إذا الرقم اللي مضروب في ثيتا رقما زوجيا فعدل ورقات مضاعفة هذا الرقم", "tokens": [10721, 25513, 27884, 4032, 2288, 4587, 9307, 37495, 22653, 45164, 25961, 23565, 5551, 25513, 27884, 38637, 36081, 995, 34051, 23565, 5551, 25513, 27884, 38637, 36081, 995, 4724, 16254, 7251, 9566, 1211, 3615, 18871, 16254, 12174, 3215, 33599, 46811, 7649, 4032, 2288, 4587, 9307, 37495, 22653, 11933, 15730, 34892, 4587, 2304, 13672, 1829, 3714, 11242, 32887, 3555, 8978, 38637, 36081, 995, 12602, 4587, 15042, 30767, 29245, 25528, 6156, 22488, 1211, 4032, 2288, 4587, 9307, 3714, 11242, 45761, 5172, 3660, 23758, 34892, 4587, 2304], "avg_logprob": -0.22797439364065608, "compression_ratio": 1.8280254777070064, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3336.62, "end": 3337.18, "word": "أربعة", "probability": 0.5983479817708334}, {"start": 3337.18, "end": 3337.58, "word": " ورقات", "probability": 0.946533203125}, {"start": 3337.58, "end": 3337.78, "word": " يعني", "probability": 0.8447265625}, {"start": 3337.78, "end": 3337.98, "word": " لو", "probability": 0.53955078125}, {"start": 3337.98, "end": 3338.28, "word": " كان", "probability": 0.80322265625}, {"start": 3338.28, "end": 3338.7, "word": " cosine", "probability": 0.2025146484375}, {"start": 3338.7, "end": 3339.36, "word": " أربعة", "probability": 0.8894856770833334}, {"start": 3339.36, "end": 3339.82, "word": " ثيتا", "probability": 0.7858072916666666}, {"start": 3339.82, "end": 3339.98, "word": " أو", "probability": 0.74462890625}, {"start": 3339.98, "end": 3340.28, "word": " cosine", "probability": 0.1326904296875}, {"start": 3340.28, "end": 3340.72, "word": " أربعة", "probability": 0.9534505208333334}, {"start": 3340.72, "end": 3340.98, "word": " ثيتا", "probability": 0.9353841145833334}, {"start": 3340.98, "end": 3341.2, "word": " بدي", "probability": 0.48858642578125}, {"start": 3341.2, "end": 3341.48, "word": " يطلع", "probability": 0.85235595703125}, {"start": 3341.48, "end": 3341.7, "word": " عندي", "probability": 0.826171875}, {"start": 3341.7, "end": 3342.38, "word": " قداش", "probability": 0.8055013020833334}, {"start": 3342.38, "end": 3343.3, "word": " تمان", "probability": 0.6856689453125}, {"start": 3343.3, "end": 3344.16, "word": " ورقات", "probability": 0.9058837890625}, {"start": 3344.16, "end": 3344.58, "word": " يعني", "probability": 0.56390380859375}, {"start": 3344.58, "end": 3344.88, "word": " إذا", "probability": 0.81787109375}, {"start": 3344.88, "end": 3345.54, "word": " الرقم", "probability": 0.9698893229166666}, {"start": 3345.54, "end": 3345.7, "word": " اللي", "probability": 0.839111328125}, {"start": 3345.7, "end": 3346.12, "word": " مضروب", "probability": 0.9381103515625}, {"start": 3346.12, "end": 3346.22, "word": " في", "probability": 0.92431640625}, {"start": 3346.22, "end": 3346.72, "word": " ثيتا", "probability": 0.8460286458333334}, {"start": 3346.72, "end": 3347.24, "word": " رقما", "probability": 0.94580078125}, {"start": 3347.24, "end": 3348.22, "word": " زوجيا", "probability": 0.9558919270833334}, {"start": 3348.22, "end": 3349.12, "word": " فعدل", "probability": 0.8084309895833334}, {"start": 3349.12, "end": 3349.74, "word": " ورقات", "probability": 0.9744873046875}, {"start": 3349.74, "end": 3350.92, "word": " مضاعفة", "probability": 0.94189453125}, {"start": 3350.92, "end": 3351.22, "word": " هذا", "probability": 0.96630859375}, {"start": 3351.22, "end": 3351.78, "word": " الرقم", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 142, "seek": 338077, "start": 3352.11, "end": 3380.77, "text": "أما إن كان فردي تلاتة خمسة سبعة تسعة أحداث فعدد الورقات يسوى عدد الرقم الفردي اللي موجود عندنا لحد هنا انتهى ال section وعليكم أرقام المسائل اللي هو exercises أحد عشر أربعة المسائل التالية من واحد لخمسة وعشرين الأد", "tokens": [10721, 15042, 36145, 25961, 6156, 2288, 16254, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 8608, 3555, 27884, 6055, 3794, 27884, 5551, 24401, 5718, 104, 6156, 22488, 3215, 2423, 13063, 4587, 9307, 7251, 3794, 2407, 7578, 6225, 3215, 3215, 34892, 4587, 2304, 27188, 2288, 16254, 13672, 1829, 3714, 29245, 23328, 43242, 8315, 5296, 24401, 34105, 16472, 47395, 7578, 2423, 3541, 4032, 3615, 20292, 24793, 5551, 2288, 4587, 10943, 9673, 3794, 16373, 1211, 13672, 1829, 31439, 11900, 5551, 24401, 6225, 46309, 5551, 25513, 27884, 9673, 3794, 16373, 1211, 16712, 6027, 10632, 9154, 36764, 24401, 5296, 9778, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 16247, 3215], "avg_logprob": -0.17901785373687745, "compression_ratio": 1.7809523809523808, "no_speech_prob": 0.0, "words": [{"start": 3352.11, "end": 3352.53, "word": "أما", "probability": 0.9228515625}, {"start": 3352.53, "end": 3352.81, "word": " إن", "probability": 0.63330078125}, {"start": 3352.81, "end": 3353.03, "word": " كان", "probability": 0.98876953125}, {"start": 3353.03, "end": 3353.41, "word": " فردي", "probability": 0.8606770833333334}, {"start": 3353.41, "end": 3353.97, "word": " تلاتة", "probability": 0.83612060546875}, {"start": 3353.97, "end": 3354.47, "word": " خمسة", "probability": 0.9012451171875}, {"start": 3354.47, "end": 3354.85, "word": " سبعة", "probability": 0.9248046875}, {"start": 3354.85, "end": 3355.25, "word": " تسعة", "probability": 0.9640299479166666}, {"start": 3355.25, "end": 3355.75, "word": " أحداث", "probability": 0.70233154296875}, {"start": 3355.75, "end": 3356.61, "word": " فعدد", "probability": 0.8927408854166666}, {"start": 3356.61, "end": 3357.29, "word": " الورقات", "probability": 0.9503173828125}, {"start": 3357.29, "end": 3357.75, "word": " يسوى", "probability": 0.77349853515625}, {"start": 3357.75, "end": 3358.11, "word": " عدد", "probability": 0.9820963541666666}, {"start": 3358.11, "end": 3358.65, "word": " الرقم", "probability": 0.9759114583333334}, {"start": 3358.65, "end": 3359.35, "word": " الفردي", "probability": 0.9666341145833334}, {"start": 3359.35, "end": 3360.01, "word": " اللي", "probability": 0.85498046875}, {"start": 3360.01, "end": 3360.49, "word": " موجود", "probability": 0.98583984375}, {"start": 3360.49, "end": 3361.13, "word": " عندنا", "probability": 0.99609375}, {"start": 3361.13, "end": 3361.85, "word": " لحد", "probability": 0.780029296875}, {"start": 3361.85, "end": 3362.11, "word": " هنا", "probability": 0.97216796875}, {"start": 3362.11, "end": 3362.49, "word": " انتهى", "probability": 0.9026692708333334}, {"start": 3362.49, "end": 3362.65, "word": " ال", "probability": 0.80615234375}, {"start": 3362.65, "end": 3363.01, "word": " section", "probability": 0.8349609375}, {"start": 3363.01, "end": 3364.19, "word": " وعليكم", "probability": 0.75140380859375}, {"start": 3364.19, "end": 3364.89, "word": " أرقام", "probability": 0.9874267578125}, {"start": 3364.89, "end": 3366.33, "word": " المسائل", "probability": 0.957763671875}, {"start": 3366.33, "end": 3367.29, "word": " اللي", "probability": 0.6270751953125}, {"start": 3367.29, "end": 3367.59, "word": " هو", "probability": 0.92529296875}, {"start": 3367.59, "end": 3368.49, "word": " exercises", "probability": 0.1619873046875}, {"start": 3368.49, "end": 3370.93, "word": " أحد", "probability": 0.6705322265625}, {"start": 3370.93, "end": 3371.71, "word": " عشر", "probability": 0.6551513671875}, {"start": 3371.71, "end": 3373.35, "word": " أربعة", "probability": 0.810546875}, {"start": 3373.35, "end": 3374.93, "word": " المسائل", "probability": 0.954345703125}, {"start": 3374.93, "end": 3375.73, "word": " التالية", "probability": 0.9952799479166666}, {"start": 3375.73, "end": 3376.37, "word": " من", "probability": 0.97998046875}, {"start": 3376.37, "end": 3377.09, "word": " واحد", "probability": 0.963134765625}, {"start": 3377.09, "end": 3378.33, "word": " لخمسة", "probability": 0.95517578125}, {"start": 3378.33, "end": 3379.41, "word": " وعشرين", "probability": 0.932373046875}, {"start": 3379.41, "end": 3380.77, "word": " الأد", "probability": 0.4158935546875}], "temperature": 1.0}, {"id": 143, "seek": 338768, "start": 3385.04, "end": 3387.68, "text": "المرة الجاية ان شاء الله بنبدأ ال section الجديد", "tokens": [45340, 25720, 25724, 995, 10632, 16472, 13412, 16606, 21984, 44945, 44510, 10721, 2423, 3541, 25724, 16254, 3215], "avg_logprob": -0.23285589615503946, "compression_ratio": 1.1408450704225352, "no_speech_prob": 0.0, "words": [{"start": 3385.04, "end": 3385.5, "word": "المرة", "probability": 0.82568359375}, {"start": 3385.5, "end": 3385.9, "word": " الجاية", "probability": 0.7931315104166666}, {"start": 3385.9, "end": 3385.98, "word": " ان", "probability": 0.82470703125}, {"start": 3385.98, "end": 3386.24, "word": " شاء", "probability": 0.951416015625}, {"start": 3386.24, "end": 3386.3, "word": " الله", "probability": 0.97607421875}, {"start": 3386.3, "end": 3386.72, "word": " بنبدأ", "probability": 0.9137369791666666}, {"start": 3386.72, "end": 3386.8, "word": " ال", "probability": 0.1617431640625}, {"start": 3386.8, "end": 3387.06, "word": " section", "probability": 0.7080078125}, {"start": 3387.06, "end": 3387.68, "word": " الجديد", "probability": 0.9200846354166666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3387.954, "duration_after_vad": 3266.179093749985}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c53b80917455efba63c177f0f7e8a5b080203595
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/tjZwJZNx9Pk_raw.srt
@@ -0,0 +1,2180 @@
+1
+00:00:09,080 --> 00:00:15,340
+بسم الله الرحمن الرحيم المرة الماضية بدأنا في
+
+2
+00:00:15,340 --> 00:00:21,380
+section geographical in polar coordinates الرسم في
+
+3
+00:00:21,380 --> 00:00:26,700
+الإحداثيات القطبيةوقلنا في نقطتين نظري النقطة
+
+4
+00:00:26,700 --> 00:00:30,120
+الأولى دراسة اللي هي ال symmetry التماثل بالنسبة
+
+5
+00:00:30,120 --> 00:00:35,280
+للمحاور والنقطة التانية هي الاسلوب تبع الملحنة
+
+6
+00:00:35,280 --> 00:00:39,760
+يبقى قولنا ال symmetry هذا هو استبدال لمين
+
+7
+00:00:39,760 --> 00:00:43,260
+للمعلومات اللي كنا ناخدها في calculus Aعلى الـ
+
+8
+00:00:43,260 --> 00:00:46,260
+Cartesian coordinates الـ local maximum و ال local
+
+9
+00:00:46,260 --> 00:00:49,400
+minimum و ال concave up و ال concave down و ال
+
+10
+00:00:49,400 --> 00:00:53,700
+inflection poles هذا كله هنستبدله بمين بالسمتري
+
+11
+00:00:53,700 --> 00:00:59,700
+عندنا في الرسم الأول مثال من ناحية الرسم بيقول
+
+12
+00:00:59,700 --> 00:01:04,410
+sketch the graph of the curveبارتساوة اتنين زاد
+
+13
+00:01:04,410 --> 00:01:10,070
+اربعة كوساين ثيتا هذا المنحنى منسمي منحنى اللمسن
+
+14
+00:01:10,070 --> 00:01:15,430
+وال inner lob يعني بعروة داخلية inner lob عروة
+
+15
+00:01:15,430 --> 00:01:20,590
+داخلية طب نشوف كيف بدنا نرسمها مش هنرسمها ده نروح
+
+16
+00:01:20,590 --> 00:01:26,050
+نبحث ال symmetryيبقى أول شغلة بدي أجي أخد ال
+
+17
+00:01:26,050 --> 00:01:32,030
+symmetry تبع هذا الملحنة يبقى بدنا نبحث ال
+
+18
+00:01:32,030 --> 00:01:39,380
+symmetryتمام؟ بدأجي للنقطة الأولى المنحنى بدأ أفحص
+
+19
+00:01:39,380 --> 00:01:44,080
+هل هو متمثل بالنسبة لمحور X ولا لأ كتبنا المرة
+
+20
+00:01:44,080 --> 00:01:48,320
+الماضية بشأن نشوفه متمثل بالنسبة لمحور X بدنا نشيل
+
+21
+00:01:48,320 --> 00:01:54,160
+كل ثيتا ونحط مكانها سالب ثيتا يبقى بدأجي للمنحنى
+
+22
+00:01:54,160 --> 00:02:00,840
+اتنين زائد اربعة كوساين لسالب ثيتا ال cosine
+
+23
+00:02:00,840 --> 00:02:06,290
+function even ولا odd؟even يبقى cosine لسالب ثيتا
+
+24
+00:02:06,290 --> 00:02:14,370
+هو cosine ثيتا يبقى يساوي اتنين اتنين زائد اربعة
+
+25
+00:02:14,370 --> 00:02:20,010
+في cosine الزاوية ثيتا طب هذا مش هو المنحنى الأصلي
+
+26
+00:02:20,010 --> 00:02:24,790
+اللي فوق يبقى نفس المنحنى الأصلي يبقى معنى هذا
+
+27
+00:02:24,790 --> 00:02:30,190
+الكلام ان المنحنى هذا متماثل بالنسبة لمحور X يبقى
+
+28
+00:02:30,190 --> 00:02:32,090
+باجي بقوله هنا graph
+
+29
+00:02:35,200 --> 00:02:41,020
+اسمها symmetric about
+
+30
+00:02:42,900 --> 00:02:49,240
+هذا X Axis الملحنة متمثل بالنسبة لمحور X يعني لما
+
+31
+00:02:49,240 --> 00:02:53,560
+نرسم النصب اللي أعلى محور X بيكون زي النصب اللي
+
+32
+00:02:53,560 --> 00:02:58,540
+أسفة لمحور X النقطة الثانية، بدنا نشوف هل هناك
+
+33
+00:02:58,540 --> 00:03:02,880
+تمثل بالنسبة لمحور Y ولا لأ، كده لما نشيل كل θيتا
+
+34
+00:03:02,880 --> 00:03:09,440
+ونحط مكانهاباي ناقص ثيتا يبقى اتنين زائد اربعة
+
+35
+00:03:09,440 --> 00:03:16,830
+كوصين لباي ناقص ثيتايبقى هذه تساوي اتنين زائد
+
+36
+00:03:16,830 --> 00:03:22,850
+اربعة فين هذه بيدفكها بوسطة حساب المثلثات يبقى
+
+37
+00:03:22,850 --> 00:03:30,190
+cosine by cosine theta زائد sine by sine theta
+
+38
+00:03:30,190 --> 00:03:35,370
+sine by ب zero cosine مية و تمانين بسالب واحد يبقى
+
+39
+00:03:35,370 --> 00:03:40,910
+صلة المثلة هي اتنين ناقص اربعة cosine الزاوية ثيتا
+
+40
+00:03:40,910 --> 00:03:48,960
+يبقى هل هذا اه؟يبقى لا تساوي R معناته ماعرفش يكون
+
+41
+00:03:48,960 --> 00:03:53,120
+فيه tomato لأ بدنا نروح نجيب النقطة المكافئة لها
+
+42
+00:03:53,570 --> 00:04:01,190
+يبقى النقطة المكافئة لها ها بدنا نضيف باي ونحط
+
+43
+00:04:01,190 --> 00:04:05,430
+الإشارة R بالسالب يصير عندى اتنين باي شيلناها يبقى
+
+44
+00:04:05,430 --> 00:04:10,890
+يقولنا ناقص R وناقص ثيتا لنبحث هل هي على المنحنى
+
+45
+00:04:10,890 --> 00:04:20,250
+ولا لأ يبقى بداشي اخد اتنين زائد اربع كوسايل سالب
+
+46
+00:04:20,250 --> 00:04:26,260
+ثيتالو في تماثل بالنسبة ل Y بدي اطلع الجواب سالب R
+
+47
+00:04:26,260 --> 00:04:33,660
+لكن هذه بدها تساوي قدرش 2 زائد 4 Cos θ يبقى هنا
+
+48
+00:04:33,660 --> 00:04:42,680
+تماثل بالنسبة لمحور Y فبروح بقوله No symmetry
+
+49
+00:04:42,680 --> 00:04:46,220
+about
+
+50
+00:04:46,220 --> 00:04:50,860
+the Y axis
+
+51
+00:04:53,560 --> 00:05:01,920
+طيب سؤال بيطرح نفسههل تتوقع أن يكون هناك تماثل
+
+52
+00:05:01,920 --> 00:05:07,140
+بالنسبة لنقطة الأصل؟ لأ طبعا. ليش؟ إنه كان هناك
+
+53
+00:05:07,140 --> 00:05:11,320
+تماثل بالنسبة لنقطة الأصل، أصبح عندي تماثلين. وإذا
+
+54
+00:05:11,320 --> 00:05:15,380
+عندي تماثلين، يبقى التماثل الثالث موجود. يبقى
+
+55
+00:05:15,380 --> 00:05:19,600
+خليني على مين؟ بس بدنا نروح نثبت صح هذا صمم أمان
+
+56
+00:05:19,600 --> 00:05:24,080
+بالنسبة لي، أبين إنه ماعنديش تماثل بالنسبة لنقطة
+
+57
+00:05:24,080 --> 00:05:28,210
+الأصل.يبقى النقطة الأولى بالنسبة لنقطة الاصل لو
+
+58
+00:05:28,210 --> 00:05:35,250
+شيلت ال R وحطيت مكانها سالب R بدي يطلع R itself
+
+59
+00:05:35,250 --> 00:05:42,290
+هيكل تمام يبقى هذه بدي بقول ناقص R بدي يساوي ناقص
+
+60
+00:05:42,290 --> 00:05:49,250
+اتنين ناقص اربعة كوسين الزاوية ثيتا وهذا لا يساوي
+
+61
+00:05:49,250 --> 00:05:57,580
+ال Rأنا بسويش ال R بتاتا طيب بيكفي؟ بيكفيش بقوله
+
+62
+00:05:57,580 --> 00:06:05,620
+ضبط ولكن اللي هو اتنين زائد اربعة cosine باي زائد
+
+63
+00:06:05,620 --> 00:06:11,000
+ثيتا بنروح نجيب النقطة المكافئة لها تماما وهي
+
+64
+00:06:11,000 --> 00:06:18,400
+تساوي اللي هو مين اتنين زائد اربعة في cosine باي
+
+65
+00:06:26,100 --> 00:06:37,260
+يبقى 0-1 يبقى 2-4 cos θ
+
+66
+00:06:45,010 --> 00:06:50,550
+لا يساوي هار يبقى معناته no symmetry about the
+
+67
+00:06:50,550 --> 00:06:51,070
+origin
+
+68
+00:07:04,340 --> 00:07:09,380
+ماعنديش تماثل بالنسبة لنقطة الأصل خلصنا يبقى بعتنا
+
+69
+00:07:09,380 --> 00:07:14,320
+ففحصنا التماثل يبقى لا يوجد عندي تماثل إلا بالنسبة
+
+70
+00:07:14,320 --> 00:07:19,580
+لمين لم محور X بعد هيك بناروح نعمل جدول وبعد ما
+
+71
+00:07:19,580 --> 00:07:24,280
+نعمل الجدول بنروح نرسم يبقى لو جينا عملنا جدول
+
+72
+00:07:24,280 --> 00:07:25,680
+بالشكل اللي عندنا هذا
+
+73
+00:07:30,140 --> 00:07:35,980
+أنا جيت و قلت هنا ثيتا وهنا R ر اللي هي عنا تساوي
+
+74
+00:07:35,980 --> 00:07:42,840
+اتنين زائد اربعة في كوصين الزاوية ثيتا و بدنا نبدأ
+
+75
+00:07:42,840 --> 00:07:51,060
+بين بالزاوية Zero كوصين صفر اربعة و اتنين ستة كويس
+
+76
+00:07:51,060 --> 00:07:56,680
+طيب بدنا نزيد لو جينا خدنا الزاوية مثلا تلاتين
+
+77
+00:07:56,680 --> 00:08:02,800
+درجةيبقى جتا تلاتين جدر تلاتة على اتنين يبقى وصير
+
+78
+00:08:02,800 --> 00:08:07,260
+اتنين جدر تلاتة جدر تلاتة بواحد وسبعة من عشرة يبقى
+
+79
+00:08:07,260 --> 00:08:13,200
+تلاتة صحيحة واربعة من عشرة زائد اتنين خمسة صحيحة
+
+80
+00:08:13,200 --> 00:08:22,640
+واربعة من عشرة لو جيت مثلا ستين درجة جتا ستين نص
+
+81
+00:08:22,640 --> 00:08:29,310
+في اربعة باتنين واتنين اربعةلو جت قلت تسعين درجة
+
+82
+00:08:29,310 --> 00:08:36,670
+تسعين في تسعين جت تسعين بصفر يبقى بصير اتنين بعدك
+
+83
+00:08:36,670 --> 00:08:43,730
+لو روحت قلت مية و عشرين درجة يبقى مية و عشرين درجة
+
+84
+00:08:43,730 --> 00:08:51,230
+جتها جت ستين بس بالثالث جت ستين بنص يبقى سالب نص
+
+85
+00:08:51,230 --> 00:08:59,330
+في أربعة سالب اتنين و اتنينبعد ذلك لو جيت عند ال
+
+86
+00:08:59,330 --> 00:09:08,350
+150 درجة هو هي عند ال 180 درجة، لو جيت جات ال 150
+
+87
+00:09:08,350 --> 00:09:14,000
+هي جات ال 30جتل تلاتين جذر تلاتة على اتنين بس
+
+88
+00:09:14,000 --> 00:09:22,160
+بالسالب يبقى اتنين ناقص اتنين جذر تلاتة يعني اتنين
+
+89
+00:09:22,160 --> 00:09:28,400
+ناقص تلاتة صحيح واربع من عشرة بيطلع سالب واحد صحيح
+
+90
+00:09:28,400 --> 00:09:33,320
+واربع من عشرة جتل مية وتمانين بسالب واحد يبقى
+
+91
+00:09:33,320 --> 00:09:40,770
+اتنين وسالب اربع ليه بمين بسالب اتنينالان بدنا
+
+92
+00:09:40,770 --> 00:09:48,010
+نروح للرسم و نشوف كيف بدنا نرسم هذا المنحنى يبقى
+
+93
+00:09:48,010 --> 00:09:54,230
+ماجي بقول هي المحاور هذا theta تساوي zero وهذا
+
+94
+00:09:54,230 --> 00:10:00,370
+theta تساوي pi على اتنين اللي هو تسعين درجة و بدنا
+
+95
+00:10:00,370 --> 00:10:06,260
+نرسملما كان فيتا تساوي زيرو كانت ارض تساوي جداش
+
+96
+00:10:06,260 --> 00:10:11,760
+تساوي ستة يبقى عندما فيتا تساوي زيرو بدي .. يعني
+
+97
+00:10:11,760 --> 00:10:17,180
+الخط فيتا تساوي زيرو بدي أخد طول عليه تساوي جداش
+
+98
+00:10:17,180 --> 00:10:23,540
+ستة يبقى هذه النقطة اليحداتي تبعها ستة وزيرو بعد
+
+99
+00:10:23,540 --> 00:10:28,440
+ذلك بدي أتي تلاتين درجة بدي أرسم الخط فيتا تساوي
+
+100
+00:10:28,440 --> 00:10:34,470
+تلاتين درجةبالشكل اللي عملنا هذا يبقى هذا الخط
+
+101
+00:10:34,470 --> 00:10:42,150
+اللي هو ستة تساوي تلاتين درجة تمام؟ على تلاتين
+
+102
+00:10:42,150 --> 00:10:46,690
+درجة بدي أجيس كده؟ خمسة وأربعة من عشرة يعني أقل من
+
+103
+00:10:46,690 --> 00:10:53,650
+ستة بشوية يبقى هذا خمسة وأربعة من عشرة بعد
+
+104
+00:10:53,650 --> 00:11:00,810
+التلاتين بدي أخد ستين درجة يبقى هذه ستين درجةستين
+
+105
+00:11:00,810 --> 00:11:06,470
+درجة بدي أخد عليها طول أربعة يعني أقل شوية يبقى
+
+106
+00:11:06,470 --> 00:11:13,430
+أقل شوية يبقى هذه تلاتين درجة هذه ستين درجة عند
+
+107
+00:11:13,430 --> 00:11:18,650
+التسعين درجة بدي أخد الطول اللي هو قداشر الإتنين
+
+108
+00:11:18,650 --> 00:11:25,530
+تمام عند المية وعشرين درجة يبقى هذه المية وعشرين
+
+109
+00:11:25,530 --> 00:11:33,760
+درجة هذهيكون الـ120 درجة بالشكل هذا يبقى ثيتا
+
+110
+00:11:33,760 --> 00:11:40,900
+تساوي 120 درجة بتاخد عليها طول جداش Zero يبقى
+
+111
+00:11:40,900 --> 00:11:49,420
+وقفنا على نقطة الأصل بعد ال 120 جينا ل 150 150
+
+112
+00:11:49,420 --> 00:11:56,200
+بالشكل هذا يبقى ثيتا تساوي 150 درجة بتاخد عليها
+
+113
+00:11:56,200 --> 00:12:01,200
+طول جداشيبقى السالب هي فوق المية وخمسة يبقى هاي
+
+114
+00:12:01,200 --> 00:12:07,000
+يجيس وين في الخلف يبقى سالب واحد واربعة من عشرة هي
+
+115
+00:12:07,000 --> 00:12:12,540
+سالب واحد واربعة من عشرة بعد المية و تمانين درجة
+
+116
+00:12:12,540 --> 00:12:17,620
+يبقى هذه المية و تمانين درجة يجيس عليها وين سالب
+
+117
+00:12:17,620 --> 00:12:24,310
+اتنين في الخلف يبقى هاي سالب اتنينالان بدي اوصل
+
+118
+00:12:24,310 --> 00:12:29,830
+بين هذه النقاط و بدي امشي براحة شوية شوية زي ما
+
+119
+00:12:29,830 --> 00:12:36,670
+كنت ماشي في الرسم و جينا هنا و رجعنا هنا كويس؟
+
+120
+00:12:36,670 --> 00:12:43,650
+يبقى هذا الملحنة اللي احنا ماشينا مع النقاط عليه
+
+121
+00:12:45,360 --> 00:12:49,940
+جالي هنا الملحنة متمثل بالنسبة لمحور X يعني الرسم
+
+122
+00:12:49,940 --> 00:12:55,560
+اللي فوق محور X تماما مثل الرسم اللي تحت محور X
+
+123
+00:12:55,560 --> 00:13:04,000
+هذا الأن أسفل محور X إذا بيظهر جزء زيها أعلى محور
+
+124
+00:13:04,000 --> 00:13:10,900
+X بهذا الشكل تمام الجوز اللي فوق بيظهر جوز تاني
+
+125
+00:13:10,900 --> 00:13:18,670
+زيه بهذا الشكلتمام؟ يبقى هذا الملحنة اللي هو
+
+126
+00:13:18,670 --> 00:13:23,150
+Limison with inner lob هى العروة الداخلية ظهرت
+
+127
+00:13:23,150 --> 00:13:28,010
+عندنا تمام؟ يبقى هذا اللى اسمه Limison with inner
+
+128
+00:13:28,010 --> 00:13:34,570
+lob آخر نقطة كانت النقطة هذه اللى سالب اتنين وبعيد
+
+129
+00:13:34,570 --> 00:13:40,730
+لأحدثيات النقطة اللى عندنا هذاطب ايش رايك؟ هذا
+
+130
+00:13:40,730 --> 00:13:47,810
+منحنى هطلق لك منه ستة عشر منحنى من المنحنى اللي
+
+131
+00:13:47,810 --> 00:13:54,310
+عندنا هنا من خلال ملاحظاتنا شوف يا سيدي الآن بروح
+
+132
+00:13:54,310 --> 00:14:00,890
+أعمم هذه الرسمة بدي أعممها كيف كالتالي بدي أخد
+
+133
+00:14:00,890 --> 00:14:07,790
+النقطة الأولىأحنا معدلتنا هذه كانت R على الشكل
+
+134
+00:14:07,790 --> 00:14:15,350
+التالي A وB بدي أخدهم أكبر من ال zero واندي A أقل
+
+135
+00:14:15,350 --> 00:14:25,110
+من B و ال A أقل من B و المنحنى كان R يساوي A زائد
+
+136
+00:14:25,110 --> 00:14:32,040
+B في cosine الزاويةهذا المنحنى هكذا هى ال A و هى
+
+137
+00:14:32,040 --> 00:14:37,100
+ال B تمام؟ زى ما تلاحظ ال A أقل من B اتنين أقل من
+
+138
+00:14:37,100 --> 00:14:41,500
+أربعة و ال A و ال B بالموجة بدنا نرسم المنحنى هذا
+
+139
+00:14:41,500 --> 00:14:49,080
+هذا المنحنى لو روحت رسمته هيأخد الشكل التالي Iθ
+
+140
+00:14:49,080 --> 00:14:54,340
+تساوي Zero و Iθ تساوي Pi على اتنين اللى همين
+
+141
+00:14:54,340 --> 00:14:58,750
+المنحنى اللى هناك اللى عندنايبقى بعد هيك، أيش ما
+
+142
+00:14:58,750 --> 00:15:04,770
+يكون الأرقام، اتنين، تلاتة، واحد، خمسة، جد ما يكون
+
+143
+00:15:04,770 --> 00:15:11,030
+الملحنة هيطلع شكله بالشكل هذا هيك تمام؟ والشكل
+
+144
+00:15:11,030 --> 00:15:16,720
+التاني هيك، وتجيلك العروة الداخلية بهذا الشكلهذا
+
+145
+00:15:16,720 --> 00:15:23,440
+الملحنة اللي هو R تساوي A زائد B في Cos الزاوية
+
+146
+00:15:23,440 --> 00:15:30,920
+ثيتا طيب لو حصل ان الزايد هذه صارت ناقص بكل بساطة
+
+147
+00:15:30,920 --> 00:15:35,990
+رسمة زي ما هي بيبتغلب وين؟جهة المحور السالب لثيتا
+
+148
+00:15:35,990 --> 00:15:40,950
+تساوي زيرو يعني جهة ثيتا تساوي باي يبقى بيصير
+
+149
+00:15:40,950 --> 00:15:47,370
+المنحنة على الشكل التالي هذا ثيتا تساوي زيرو وهذا
+
+150
+00:15:47,370 --> 00:15:52,410
+ثيتا تساوي باي على اتنين بيصير المنحنة عنده بالشكل
+
+151
+00:15:52,410 --> 00:15:56,030
+هذا وهذا
+
+152
+00:15:56,030 --> 00:16:02,890
+ال inner law بالشكل اللي عندنا هذايجب ان يكون
+
+153
+00:16:02,890 --> 00:16:09,350
+المنحنة معادلة r يساوي a ناقص b في cosine الزاوية
+
+154
+00:16:09,350 --> 00:16:16,040
+θطب لو كان بدل ال cosine صارت sin مافيش اللي بده
+
+155
+00:16:16,040 --> 00:16:23,020
+يحصل؟ يبقى لو كان عندي R يساوي ايه ماقص بيه في sin
+
+156
+00:16:23,020 --> 00:16:28,500
+الزاوية ثيتا يبقى تقولها المنحنة بالشكل هذا I ثيتا
+
+157
+00:16:28,500 --> 00:16:33,720
+تساوي zero و I ثيتا تساوي Pi على الإتنينيبقى
+
+158
+00:16:33,720 --> 00:16:37,240
+الرسمة بدا جد ما كان فيه تمثل بالنسبة لمحور X
+
+159
+00:16:37,240 --> 00:16:41,860
+هيصير فيه تمثل بالنسبة لمحور Y2 الإشارة السالب
+
+160
+00:16:41,860 --> 00:16:47,780
+يبقى الرسمة كلها تحت محور X أو غالبها يبقى بده يجي
+
+161
+00:16:47,780 --> 00:16:53,480
+كك الرسمة وهذه من الناحية التانية وهذه ال inner
+
+162
+00:16:53,480 --> 00:16:55,220
+lob الشكل اللي عندها
+
+163
+00:16:59,400 --> 00:17:05,440
+طب لو بدل انشار السلب صار موجب يبقى المنحنى هذا
+
+164
+00:17:05,440 --> 00:17:11,200
+هياخد الشكل التالي يبقى هذا θ تساوي zero وهذا θ
+
+165
+00:17:11,200 --> 00:17:16,540
+تساوي πاي على اتنين يبقى يجيك المنحنى بالشكل هذا
+
+166
+00:17:16,540 --> 00:17:22,110
+ومن هنا بالشكل هذاوهذا ال inner lob بهذا الشكل
+
+167
+00:17:22,110 --> 00:17:28,890
+يبقى هذا R يساوي A زائد B في صيني الزاوية تيتا إذا
+
+168
+00:17:28,890 --> 00:17:32,990
+الإشارة بالموجة بيبقى الرسم غالبها على ال X axis
+
+169
+00:17:32,990 --> 00:17:37,410
+إذا الإشارة بالسالب و مع ال sign يبقى الرسم غالبها
+
+170
+00:17:37,410 --> 00:17:43,090
+أسفل ال X axis إذا الإشارة بالسالب لل cosine يبقى
+
+171
+00:17:43,090 --> 00:17:47,370
+الجهة السالبة لل X axis إذا الإشارة بالموجة بيقبل
+
+172
+00:17:47,370 --> 00:17:54,850
+جهة اليمنىهذا لو كان ال A أقل من B طب لو حصل أن ال
+
+173
+00:17:54,850 --> 00:17:59,930
+A يساوي ال B، شو بدي يكون الوضع؟ يبقى بالدهجي هنا
+
+174
+00:17:59,930 --> 00:18:05,690
+لنمر أتنينلو كان ال a يساوي ال b في المنحنة بدي
+
+175
+00:18:05,690 --> 00:18:12,710
+يصير r تساوي a زائد b في cosine الزاوية ثانية لو
+
+176
+00:18:12,710 --> 00:18:17,330
+رحت رسمت الرسمة بتطلع نفس الرسم هذا بالضبط بس
+
+177
+00:18:17,330 --> 00:18:25,390
+بتطير ال inner lawبصير منحنة الكاردويد منحنة القلب
+
+178
+00:18:25,390 --> 00:18:30,670
+بدون inner load كيف؟ كالتالي يبقى هذا المنحنة
+
+179
+00:18:30,670 --> 00:18:35,890
+بيصير بهذا الشكل I theta تساوي Zero و I theta
+
+180
+00:18:35,890 --> 00:18:44,610
+تساوي Pi على اتنين و المنحنة بيجيلك هيك بس inner
+
+181
+00:18:44,610 --> 00:18:52,170
+load ماعنديشتمام؟ طب لو كان الملحنة R يساوي A ناقص
+
+182
+00:18:52,170 --> 00:18:57,950
+B فيه ناقص A فيه cosine فش بيه ال A تساوي ال B يا
+
+183
+00:18:57,950 --> 00:19:06,530
+شباب كله A ماعنديش B A تساوي ال Bطبعا يبقى a ناقص
+
+184
+00:19:06,530 --> 00:19:11,670
+ال a في cos الزاوية θ يبقى المنحنة بيصير بالشكل
+
+185
+00:19:11,670 --> 00:19:17,510
+هذا θ تساوي zero و هنا θ تساوي pi على اتنين و
+
+186
+00:19:17,510 --> 00:19:25,060
+المنحنة بيصير بالشكل اللي عندك هناطيب لو كان
+
+187
+00:19:25,060 --> 00:19:35,980
+بدلالة ال sign يعني ال a او ال r تساوي a ناقص a في
+
+188
+00:19:35,980 --> 00:19:39,980
+ال sign الزاوية theta يبقى المنحنى بالشكل اللي
+
+189
+00:19:39,980 --> 00:19:44,960
+عندنا هذا theta تساوي zero وهنا theta تساوي pi على
+
+190
+00:19:44,960 --> 00:19:52,140
+اتنين والمنحنى بيصير بالشكل اللي عندناطب لو كان R
+
+191
+00:19:52,140 --> 00:19:59,000
+تساوي A زائد A في صيني الزاوية ثيتا يبقى المنحنى
+
+192
+00:19:59,000 --> 00:20:03,520
+بالشكل اللي عندي هذا ثيتا تساوي Zero وهذا ثيتا
+
+193
+00:20:03,520 --> 00:20:08,280
+تساوي Pi على اتنين وهذا المنحنى بيأخد الشكل اللي
+
+194
+00:20:08,280 --> 00:20:15,890
+عنديطبعا يبقى حتى الآن خلصنا حالتين و الحالتين
+
+195
+00:20:15,890 --> 00:20:21,090
+اللي أنها تبقى ايش؟ كل واحدة فيهم باربع رسومات
+
+196
+00:20:21,090 --> 00:20:30,850
+يبقى عندنا صار ثمانية منحنيات و بقيت ثمانية أخرى
+
+197
+00:20:30,850 --> 00:20:37,790
+ايش
+
+198
+00:20:37,790 --> 00:20:39,570
+اللي ان الحالة التالتة؟
+
+199
+00:20:43,100 --> 00:20:52,020
+الـ A أقل من B الـ A تساوي الـ B هم من بعدها بتاخد
+
+200
+00:20:52,020 --> 00:21:04,700
+A أكبر من B يبقى F الـ A greater than B and أو بين
+
+201
+00:21:04,700 --> 00:21:14,040
+قسيان الـ A على B greater than 1بديش يخليها زي هك،
+
+202
+00:21:14,040 --> 00:21:19,380
+يبقى بدي أخد ال A على B أكبر من واحد و أجل من
+
+203
+00:21:19,380 --> 00:21:25,990
+إيمينمن الاتنين كيف يكون شكل الرسم يبقى بداخله
+
+204
+00:21:25,990 --> 00:21:33,630
+ياخد الحالة الأولى R يساوي A زائد B في Cos الزاوية
+
+205
+00:21:33,630 --> 00:21:40,210
+ثيتا يبقى المنحنى بهذا الشكل ثيتا تساوي Zero ثيتا
+
+206
+00:21:40,210 --> 00:21:47,990
+تساوي Pi على اتنين لاحظ الحالة الأولىلما تقلنا
+
+207
+00:21:47,990 --> 00:21:52,710
+للثانية طارت ال inner law وصار المنحلة بيبدأ من
+
+208
+00:21:52,710 --> 00:21:58,530
+نقطة الأصل وبيرجع لنقطة الأصل المرة هذه مش هيرجع
+
+209
+00:21:58,530 --> 00:22:03,750
+لنقطة الأصل، لا يبدأ منها ولا يرجع لها، بيصير هذا
+
+210
+00:22:03,750 --> 00:22:09,350
+للخارج كيف كانت تالي يعني بيصير المنحلة كان في
+
+211
+00:22:09,350 --> 00:22:15,420
+الأصل زي هيك، مظبوط؟يبقى بيجي كلمة من الحالة بيكمل
+
+212
+00:22:15,420 --> 00:22:22,840
+هك و بيجي هك بس بوصلش نقطة الأصل تمام؟ لو جتلى
+
+213
+00:22:22,840 --> 00:22:28,120
+الحالة التانية R تساوي ايه؟ ناقص P في cosine
+
+214
+00:22:28,120 --> 00:22:29,400
+الزاوية ثتا
+
+215
+00:22:32,040 --> 00:22:37,020
+يبقى هذا theta تساوي zero وهذا theta تساوي pi على
+
+216
+00:22:37,020 --> 00:22:41,240
+اتنين خلّي أبقى لك هنا كويس يبقى الملحنة بيصير
+
+217
+00:22:41,240 --> 00:22:46,620
+علويا على الناحية التانية بهذا الشكل و بيجيك
+
+218
+00:22:46,620 --> 00:22:52,720
+الملحنة يكملك و يجي بالشكل هذايعني في دنت، دنت
+
+219
+00:22:52,720 --> 00:23:00,140
+نتوء أو انبعاد للداخل نتوء للداخل او انبعاد للداخل
+
+220
+00:23:00,140 --> 00:23:06,860
+طب الحالة التالتة، لو كان ال R يساوي A ناقص B في
+
+221
+00:23:06,860 --> 00:23:11,140
+ال sign الزاوية فيه، يبقى المنحلة هفضل يصير بالشكل
+
+222
+00:23:11,140 --> 00:23:17,960
+هذاتيتا تساوي zero وهنا تيتا تساوي باي على اتنين
+
+223
+00:23:17,960 --> 00:23:26,780
+يبقى الملحنة بهذا الشكل هك و بده يجي لهدا هك طبعا
+
+224
+00:23:26,780 --> 00:23:32,600
+بلّة الحالة الرابعة والاخيرة اللي هي R تساوي A
+
+225
+00:23:32,600 --> 00:23:36,520
+زائد B في صيني الزاوية تيتا
+
+226
+00:23:42,830 --> 00:23:48,450
+المنحنة هيصبح على الشكل التالي هذا theta تساوي
+
+227
+00:23:48,450 --> 00:23:54,930
+zero وهذا theta تساوي باي على اتنين المنحنة هيصبح
+
+228
+00:23:54,930 --> 00:24:03,780
+بالشكل هذا هيك وهذا يكمل هيك ويجي طالعتمام؟ يبقى
+
+229
+00:24:03,780 --> 00:24:07,500
+هذه الحالات الأربعة الأخرى طب الحالة الرابعة
+
+230
+00:24:07,500 --> 00:24:17,780
+والاخيرة لو كان ال a greater than b and ال a على b
+
+231
+00:24:17,780 --> 00:24:24,800
+أكبر من أو يسوى 2 النقطة هذا كله بروح و بصير تقوس
+
+232
+00:24:24,800 --> 00:24:32,880
+للخار يصير convex لماثونهذا مثلا لماذا نسميه ايه
+
+233
+00:24:32,880 --> 00:24:39,540
+دنت؟ لأن بي عاجل يدخل دنتيعني انه two او ان بعاجلة
+
+234
+00:24:39,540 --> 00:24:46,640
+داخل الان لو جينا لهذا سيصبح المنحنى اله R يساوي A
+
+235
+00:24:46,640 --> 00:24:52,140
+زائد B P Cos الزاوية ثيتا يبقى المنحنى بيصير
+
+236
+00:24:52,140 --> 00:24:57,540
+بالشكل هذا هذا ثيتا تساوي Zero وهذا ثيتا تساوي Pi
+
+237
+00:24:57,540 --> 00:25:04,720
+على الاتنين هذا المنحنى هيك الشكل هذابعد ما أقدمت
+
+238
+00:25:04,720 --> 00:25:10,260
+هذه بيصير للخارجي بيصير عندي على شكل قوس بهذا
+
+239
+00:25:10,260 --> 00:25:16,620
+الشكل من هنا مسميه convex lemas lemas المحدد طبعا
+
+240
+00:25:16,620 --> 00:25:24,360
+طيب لو كان بالشكل اللي عندنا هذا I θ تساوي zero و
+
+241
+00:25:24,360 --> 00:25:31,240
+هنا θ تساوي πي على الأتنين يبقى الملحنة بيصير
+
+242
+00:25:31,240 --> 00:25:32,080
+بالشكل هذا
+
+243
+00:25:35,670 --> 00:25:42,910
+هذا اللي هو ال R تساوي and
+
+244
+00:25:42,910 --> 00:25:48,690
+ال A على B greater than or equal to 2 هذا ال R
+
+245
+00:25:48,690 --> 00:25:49,810
+تساوي
+
+246
+00:25:54,420 --> 00:26:00,300
+تساوي اللي هو ال a ناقص ال b في cosine الزاوية
+
+247
+00:26:00,300 --> 00:26:06,120
+ثيتا لو جينا لل sign بنفس الطريقة يبقى بدي جينا
+
+248
+00:26:06,120 --> 00:26:14,060
+المنحنة بالشكل هذا R تساوي a ناقص b في sine
+
+249
+00:26:14,060 --> 00:26:21,600
+الزاوية ثيتا يبقى المنحنة بيجينا بالشكل هذاومن هنا
+
+250
+00:26:21,600 --> 00:26:27,240
+بيصير قوس بهذا الشكل الحالة الرابعة والاخيرة R
+
+251
+00:26:27,240 --> 00:26:34,620
+تسوى A زائد B في صيني الزاوية ثيتا يبقى المنحنة
+
+252
+00:26:34,620 --> 00:26:40,820
+بيجينا بالشكل هذا ثيتا تسوى Zero وثيتا تسوى Pi على
+
+253
+00:26:40,820 --> 00:26:47,480
+اتنين المنحنة بالشكل هذا هيك وهذا بيجي لك قوس بهذا
+
+254
+00:26:47,480 --> 00:26:47,920
+الشكل
+
+255
+00:26:50,890 --> 00:26:57,170
+انا الآن يعني فهمتك تطلع على شكل المعادلة و تطلع
+
+256
+00:26:57,170 --> 00:27:02,970
+على الأرقام تبعتها، كويس؟ بعد كده، بدك تروح تدرس
+
+257
+00:27:02,970 --> 00:27:07,430
+الـsymmetry لكل واحدة منهم يعني احنا جيبنالك على
+
+258
+00:27:07,430 --> 00:27:12,600
+طول كستنتاج، لكن لو جاك سؤال، بيجيك سؤال واحد بسزي
+
+259
+00:27:12,600 --> 00:27:16,440
+احنا ما بدأنا الحالة الأولى الأصلى، يجيك سؤال، لكن
+
+260
+00:27:16,440 --> 00:27:20,820
+امتى من خلال معادلة يكون طبعة في دماغك ما هو شكل
+
+261
+00:27:20,820 --> 00:27:26,360
+الرسمة؟ فبتروح تعمل الجدول وبتروح ترسم الرسمة،
+
+262
+00:27:26,360 --> 00:27:30,260
+وإذا جالك فيلم دي حال، نمره راح ت discuss the
+
+263
+00:27:30,260 --> 00:27:34,020
+symmetry، بدك تعمل ال symmetry اللي معلناه هنا، طب
+
+264
+00:27:34,020 --> 00:27:37,620
+ما جالنيش، جاللي ارسم واسكتيبقى لا داعي
+
+265
+00:27:37,620 --> 00:27:41,720
+للـsymmetry إذا كنت عارف شكل الرسم أعمله الجدول و
+
+266
+00:27:41,720 --> 00:27:45,720
+أروح أرسمه أحيانا بنطلب الـsymmetry و بنطلبش
+
+267
+00:27:45,720 --> 00:27:50,220
+الرسمة و أحيانا بنطلب الرسمة و الـsymmetry شكتين
+
+268
+00:27:50,220 --> 00:27:55,060
+يبقى أنت بتتقيد بسيط السؤال على جدر السؤال بدها
+
+269
+00:27:55,060 --> 00:28:00,440
+تكون الإجابة طيب أنا بدي أحط السؤال من عندي ها أنا
+
+270
+00:28:00,440 --> 00:28:06,370
+وياك و نتناقش إنيات من الرسومات اللي عنديلو جاء
+
+271
+00:28:06,370 --> 00:28:12,690
+تجانب سؤال في الامتحان قال لي ارسم للمنحنة R يساوي
+
+272
+00:28:12,690 --> 00:28:21,970
+مثلا اربع زائد ثلاثة فصين الزاوية يبقى
+
+273
+00:28:21,970 --> 00:28:29,630
+هذا A زائد B بدأ اخد A على B A على B بده يساوي
+
+274
+00:28:29,630 --> 00:28:35,570
+اربع على تلاتةأربعة على تلاتة يعني واحد و تلت أكبر
+
+275
+00:28:35,570 --> 00:28:41,370
+من واحد و أقل من منين؟ من اتنين أكبر من واحد و أقل
+
+276
+00:28:41,370 --> 00:28:47,090
+من اتنين ههه اللي هو هذي صحيح ولا لا؟ الان يبقى
+
+277
+00:28:47,090 --> 00:28:51,750
+واحدة من الرسومات الأربعة باجي بطلة المثل عندنا
+
+278
+00:28:51,750 --> 00:28:56,390
+مطاردة من الاتنين يبقى هذه رسمتين راحوا ضلتين تين
+
+279
+00:28:56,390 --> 00:29:02,520
+هذول باجي بطلة ليه شرم الزاد؟ يبقى هذهتمام؟ يبقى
+
+280
+00:29:02,520 --> 00:29:07,280
+هي الرسمة عندك، لو كانت الإشارة بالنقص يبقى هذه،
+
+281
+00:29:07,280 --> 00:29:11,640
+لو بدل ال sign cosine يبقى الأولى، لو كان cosine
+
+282
+00:29:11,640 --> 00:29:16,000
+او سالي بكبامين، التانية و هكذا، يبقى من خلال
+
+283
+00:29:16,000 --> 00:29:21,160
+المعادلة بقدر لحالي أستنتج ما هي شكل الرسمة، دي
+
+284
+00:29:21,160 --> 00:29:24,200
+بالك هدول ممكن تلاقي كل واحد فيه معبرة عن سؤال في
+
+285
+00:29:24,200 --> 00:29:29,140
+الكتاب أو على الأقل عشر أسئلة من أسط الكتاب هيها
+
+286
+00:29:29,140 --> 00:29:34,500
+قدامك على اللوح، تمام؟حد اللي هو يتسوّل قبل أن
+
+287
+00:29:34,500 --> 00:29:41,000
+نذهب إلى رسمة أخرى اسمها 111
+
+288
+00:29:44,370 --> 00:29:49,930
+قلت لك قبل قليل قلت لك حسب نص السؤال اذا قالت لك
+
+289
+00:29:49,930 --> 00:29:53,370
+نمرأي اتكلم عن سيمتري اذا قالت لك تسوي السيمتري
+
+290
+00:29:53,370 --> 00:29:55,050
+اذا قالت لك تسوي السيمتري اذا قالت لك تسوي
+
+291
+00:29:55,050 --> 00:29:55,470
+السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك
+
+292
+00:29:55,470 --> 00:29:58,070
+تسوي السيمتري اذا قالت لك تسوي السيمتري اذا قالت
+
+293
+00:29:58,070 --> 00:30:00,030
+لك تسوي السيمتري اذا قالت لك تسوي السيمتري اذا
+
+294
+00:30:00,030 --> 00:30:00,330
+قالت لك تسوي السيمتري اذا قالت لك تسوي السيمتري
+
+295
+00:30:00,330 --> 00:30:03,050
+اذا قالت لك تسوي السيمتري اذا قالت لك تسوي
+
+296
+00:30:03,050 --> 00:30:05,170
+السيمتري اذا قالت لك تسوي السيمتري اذا قالت لك
+
+297
+00:30:05,170 --> 00:30:10,450
+تسوي السيمتري الكن إذا كنت من شكل المعادلة عرفتها
+
+298
+00:30:10,450 --> 00:30:14,230
+الشيء، يبقى على طول الخاطر، ماعليك أن تعمل جد ولا
+
+299
+00:30:14,230 --> 00:30:20,370
+ترسم؟ الرسمة. طبعا كل رسم من هذه الرسومات لها اسم.
+
+300
+00:30:20,710 --> 00:30:25,030
+هذا صمنا الأول Limason و Inner Lobe. هذا اسمه شباب
+
+301
+00:30:25,030 --> 00:30:31,390
+Cardoid، منحنى القلب. هذا اسمه Cardoid.
+
+302
+00:30:35,760 --> 00:30:45,140
+لوم انحنى القلب هذا بنسميه limson with a dent يعني
+
+303
+00:30:45,140 --> 00:30:49,820
+بنطوق كتبتلك دنت هايو limson with a dent يعني
+
+304
+00:30:49,820 --> 00:30:53,000
+بنحناه
+
+305
+00:30:53,000 --> 00:30:58,500
+او انبعاد للداخل او نطوق للداخل هذا سميناه convex
+
+306
+00:30:58,500 --> 00:31:00,700
+هذا بتكتب لك تحت
+
+307
+00:31:11,350 --> 00:31:14,990
+بننتقل الآن إلى مثال آخر
+
+308
+00:31:43,830 --> 00:31:51,810
+مثال رقم اتنين مثال
+
+309
+00:31:51,810 --> 00:31:55,210
+رقم تلاتة لان المرة اللي فاز اخدنا مثال رقم واحد
+
+310
+00:31:55,210 --> 00:31:56,590
+sketch
+
+311
+00:32:01,890 --> 00:32:12,910
+of the curves المنحنيات
+
+312
+00:32:12,910 --> 00:32:24,030
+التالية نمرة A R ترابية يساوي اربعة كصين اتنين
+
+313
+00:32:24,030 --> 00:32:31,530
+ثيتانمر يا بي ارثر بيه يستوي اربع في كوسين اتنين
+
+314
+00:32:31,530 --> 00:32:36,790
+ثتا هذا
+
+315
+00:32:36,790 --> 00:32:39,290
+المنحنة اسمه منحنة لمنسكات
+
+316
+00:32:53,580 --> 00:32:59,040
+شوف اسمه، اتهمنيش التسمة بهم المعادلة والشكليبقى
+
+317
+00:32:59,040 --> 00:33:05,640
+solution و أول خطوة بنروح نعملها بدنا نبحث ال
+
+318
+00:33:05,640 --> 00:33:09,760
+symmetry النقطة الأولى تبقى بدنا نشوف المنحنة
+
+319
+00:33:09,760 --> 00:33:14,040
+متمثل بالنسبة لمحور x ولا لأ تبقى بنروح أشيل theta
+
+320
+00:33:14,040 --> 00:33:20,780
+و أحط مكانها سالب theta يبقى أربع sign اتنين في
+
+321
+00:33:20,780 --> 00:33:27,260
+سالب theta يبقى هذه أربع sign لسالب اتنين theta
+
+322
+00:33:29,710 --> 00:33:36,150
+يبقى الصالب برا يبقى الصالب اربع صين اتنين ثيتا
+
+323
+00:33:36,150 --> 00:33:43,070
+يعني صالب R تربيع يعني ماسواتش R تربيع يبقى لا
+
+324
+00:33:43,070 --> 00:33:50,070
+تساوي R تربيعأذا ماقدرش أقول في تمثل و الله مافيش
+
+325
+00:33:50,070 --> 00:33:54,070
+بده أروح أجيب النقطة المكافئة لها يبقى بده أشيل كل
+
+326
+00:33:54,070 --> 00:33:59,290
+theta و أحط مكانها by ناقص theta يبقى بده أاخد
+
+327
+00:33:59,290 --> 00:34:05,870
+الأن أربع sine اتنين في by ناقص theta شيلنا theta
+
+328
+00:34:05,870 --> 00:34:11,010
+تبع الملحنة و أحط هنا مكانها by ناقص theta يبقى
+
+329
+00:34:11,010 --> 00:34:17,340
+أربع sine اتنين by ناقص اتنين thetaهذا هو مقدار
+
+330
+00:34:17,340 --> 00:34:22,620
+الوقت للصينة يبقى اتنين بايا مقدار الوقت يبقى
+
+331
+00:34:22,620 --> 00:34:28,880
+اتنين بايا مقدار الوقت يبقى اتنين بايا مقدار الوقت
+
+332
+00:34:28,880 --> 00:34:32,020
+يبقى اتنين بايا مقدار الوقت يبقى اتنين بايا مقدار
+
+333
+00:34:32,020 --> 00:34:38,700
+الوقتالـSin هذا يؤدي يبقى سالب برا يبقى يساوي سالب
+
+334
+00:34:38,700 --> 00:34:46,740
+أربعة سين اتنين ثيتا يبقى هذا سالب R تربيع سؤالي
+
+335
+00:34:46,740 --> 00:34:55,760
+هو إذا متمثل بالنسبة لمحور Y بالنسبة
+
+336
+00:34:55,760 --> 00:34:59,140
+لمحور X ماتش بالنسبة لمحور X اه متمثل بالنسبة
+
+337
+00:34:59,140 --> 00:34:59,940
+لمحور X
+
+338
+00:35:09,730 --> 00:35:17,850
+أبراهيم الباكي يدعي أو يزعم ان هو يزعم تحت مال
+
+339
+00:35:17,850 --> 00:35:23,150
+الوردة الشغلطية من الزعم اللي هو أبصر ومن الزعم
+
+340
+00:35:23,150 --> 00:35:28,940
+يعني من الضمانة وانا به زعيمطبعا واللي ما فقر صواع
+
+341
+00:35:28,940 --> 00:35:33,460
+الملك في قصة سيدنا يوسف قال اللي بيجيب صواع الملك
+
+342
+00:35:33,460 --> 00:35:38,820
+ايله حمل بعير زيادة وانا كفيل بالكلام هذا طبعا بس
+
+343
+00:35:38,820 --> 00:35:43,710
+كلامه مش صحيح مش صحيح ليش؟لان احنا لما نقول اذا
+
+344
+00:35:43,710 --> 00:35:48,470
+شيلت تيتا وحطيت مكانها by ناقص تيتا، بدي يطلع ناقص
+
+345
+00:35:48,470 --> 00:35:55,350
+R يعني احنا مشان يطلع كلامنا صحية، هذا لا يساوي
+
+346
+00:35:55,350 --> 00:36:02,020
+سالب R الكل تربيةيعني انت بدى يجى مكان الار سالب
+
+347
+00:36:02,020 --> 00:36:07,020
+ار مظبوط لكن احنا اجت السالب قبل الار يبقى هدول
+
+348
+00:36:07,020 --> 00:36:12,420
+بيسووش بعض وبالتالي no symmetry about the x axis
+
+349
+00:36:12,420 --> 00:36:24,060
+يبقى بروح بقوله هنا no symmetry about the x axis
+
+350
+00:36:24,060 --> 00:36:29,870
+ماعنديش تماثل حبل محور xلو رجعت للكلام النظري اللى
+
+351
+00:36:29,870 --> 00:36:35,870
+كتبناه المرة الماضية بنروح نشيل theta ونحط مكانها
+
+352
+00:36:35,870 --> 00:36:39,750
+ناقص theta طلعت نفس المعادلة بقول theta مثل ما
+
+353
+00:36:39,750 --> 00:36:44,710
+طلعتش بنروح ندور على النقطة المكافئة لهاحقنا هنا
+
+354
+00:36:44,710 --> 00:36:52,090
+ناقصتها ما طلعتش روحنا جيبنا من با اربع باين
+
+355
+00:36:52,090 --> 00:36:57,910
+ناقصتها الاصل هنا يطلع سالب ار مع الزاوية هذه تمام
+
+356
+00:36:57,910 --> 00:37:03,530
+احنا طلع ان هنا ليس سالب ار الكل تربية وانما طلعت
+
+357
+00:37:03,530 --> 00:37:07,750
+سالب لحالها والار تربية لحالها هدول بيسويش بعض
+
+358
+00:37:07,750 --> 00:37:14,800
+وبالتالي أصبح انهاالمنحنة غير متمثل بالنسبة لمحور
+
+359
+00:37:14,800 --> 00:37:19,840
+X طيب نجي النقطة التانية بنشوف التمثل بالنسبة
+
+360
+00:37:19,840 --> 00:37:28,100
+لمحور Y يبقى بدي أخد الأن أربعة صيني اتنين ل by
+
+361
+00:37:28,100 --> 00:37:35,170
+ناقص theta مش هي اللي فوق هذهصح ولا لا؟ يبقى هذه
+
+362
+00:37:35,170 --> 00:37:41,950
+بدأت ساوي سالب R تربيع from above بديش أروح عيدها
+
+363
+00:37:41,950 --> 00:37:48,630
+تاني طيب هذا الأصل يطلع مين؟ R تربيع لو كان هناك
+
+364
+00:37:48,630 --> 00:37:56,980
+تماثل يبقى هذا لا يساوي R تربيعمعناته مش مبين فيه
+
+365
+00:37:56,980 --> 00:38:00,460
+symmetry بس بدنا نأكد بدنا نروح على النقطة
+
+366
+00:38:00,460 --> 00:38:08,220
+المكافئة لها بقول بط ولكن اربعة صين اتنين لسالب
+
+367
+00:38:08,220 --> 00:38:13,120
+ثيتا بنحط جيب النقطة المكافئة لهو بده يطلع الجواب
+
+368
+00:38:13,210 --> 00:38:18,870
+بدلالة سالب ار بقول ان هذا الكلام يسوي سالب اربعة
+
+369
+00:38:18,870 --> 00:38:26,690
+صين اتنين ثيتا يعني سالب ار تربية ولا يسوي كذلك
+
+370
+00:38:26,690 --> 00:38:33,290
+سالب ار لكل تربية اذا من الاتنين هذول بستنتج انه
+
+371
+00:38:33,290 --> 00:38:40,910
+لا يوجد symmetry بالنسبة لمن؟ كويس يبقى الناس
+
+372
+00:38:40,910 --> 00:38:42,070
+symmetry
+
+373
+00:38:44,230 --> 00:38:54,010
+About مين؟ الـ Y Axis بعوض الله طيب، النمرة تلاتة،
+
+374
+00:38:54,010 --> 00:38:59,830
+بدالي تمثل بالنسبة لنقطة الأصل، يبقى بدالي أشيل R
+
+375
+00:38:59,830 --> 00:39:04,650
+و أحط مكانها ناقصها رأينا، دلت نفس المعادلة، بنقول
+
+376
+00:39:04,650 --> 00:39:08,550
+فيه تمثل، ماكانش، بدنا نروح و نجيب النقطة المكافية
+
+377
+00:39:08,550 --> 00:39:15,650
+لهايبقى أنا بدي أشيل R و أحط مكانها سالب R إيش
+
+378
+00:39:15,650 --> 00:39:22,150
+طالع عندي؟ R تربية نفسها اللي هي مين؟ اللي هي اللي
+
+379
+00:39:22,150 --> 00:39:30,970
+عندنا أربع صين اتنين ثيتا يبقى هنا the graph is
+
+380
+00:39:30,970 --> 00:39:36,430
+symmetric about
+
+381
+00:39:36,430 --> 00:39:38,270
+مين؟
+
+382
+00:39:40,620 --> 00:39:46,400
+يبقى فيه تمثل بالنسبة لنقطة الأصل يبقى خلاص نبحثنا
+
+383
+00:39:46,400 --> 00:39:53,220
+السيمتري مش ضايل إلا نعمل الجدول ومن الجدول نروح
+
+384
+00:39:53,220 --> 00:39:57,060
+نرسم يبقى
+
+385
+00:39:57,060 --> 00:40:08,130
+هذا ثيتا وهنا R ماعرفش نحط R ولا R تربيعبحط R صح R
+
+386
+00:40:08,130 --> 00:40:11,270
+وليس أر تربية لأنهم يقولون نقبة دائما في ال polar
+
+387
+00:40:11,270 --> 00:40:17,770
+هي R وثيتا وليست R تربية وثيتا يبقى احنا بدنا R
+
+388
+00:40:17,770 --> 00:40:22,990
+معناته بدنا نروح ناخد الجذر التربية إلى المقدار
+
+389
+00:40:22,990 --> 00:40:27,390
+اللي عندنا لو زاد او ناقص اتنين الجذر التربية اللي
+
+390
+00:40:27,390 --> 00:40:34,510
+ي assign اتنين ثيتا بهذا الشكل اظن الشجهة انتهينا
+
+391
+00:40:34,510 --> 00:40:35,410
+منها برضه
+
+392
+00:40:50,560 --> 00:40:56,200
+لاحظ المرة هذه انا تعمت احل السؤال بدلالة الـSin
+
+393
+00:40:56,200 --> 00:41:00,060
+وليس بدلالة الـCos لان السؤال اللى جابله حلناه
+
+394
+00:41:00,060 --> 00:41:03,280
+بدلالة الـCos اذا نشوف الـsymmetry كيف بيصير فيه
+
+395
+00:41:03,930 --> 00:41:10,590
+طيب، بدأ أخد θ تساوي زيرو، صين زيرو بقداش؟ تزيرو،
+
+396
+00:41:10,590 --> 00:41:15,450
+يبقى بدنا نبدأ من نقطة الأصل، بعد هيك، لو قلت لك
+
+397
+00:41:15,450 --> 00:41:21,470
+مثلا خمستاشر درجة طب ليش خمستاشر، ماتمشي تلاتين زي
+
+398
+00:41:21,470 --> 00:41:26,410
+قبل، لأن هذه مضروبة في اثنين، و لو كانتسين تلاتة
+
+399
+00:41:26,410 --> 00:41:30,570
+تيته ببدأ بعشر درجات يبقى أنا ببدأ حسب الزاوية
+
+400
+00:41:30,570 --> 00:41:35,250
+اللي عندي لإن خمستاش في اتنين بتلاتين جا تلاتين
+
+401
+00:41:35,250 --> 00:41:40,450
+بنص تحت الجدر يبقى اتنين في واحد على جدر اتنين
+
+402
+00:41:40,450 --> 00:41:45,030
+اضرب في جدر اتنين على جدر اتنين بظل بس جداش جدر
+
+403
+00:41:45,030 --> 00:41:50,270
+اتنين هو واحد صحيح واربعة من عشرة يبقى زائد او
+
+404
+00:41:50,270 --> 00:41:55,680
+ناقص واحد صحيح واربعة من عشرةيبقى حتى انا يا شباب
+
+405
+00:41:55,680 --> 00:42:03,420
+انا جيبت كام نقطة تلاتة تلاتة زائد ونقص يبقى جيبت
+
+406
+00:42:03,420 --> 00:42:08,720
+تلات نقاط على المنحنة طيب بعد الخمستاشة لو قلت
+
+407
+00:42:08,720 --> 00:42:16,160
+مثلا تلاتين ها تلاتين في اتنين ستين جيب الستين في
+
+408
+00:42:16,160 --> 00:42:21,300
+الجدر التلاتة على اتنين تحت الجدر جدر الجدر
+
+409
+00:42:21,300 --> 00:42:25,400
+التلاتة يعني انت بتشغل ال calculatorلكن ايش رايك؟
+
+410
+00:42:25,400 --> 00:42:29,520
+بلها التلاتين، خش على الخمسة واربعين، شو بيصير
+
+411
+00:42:29,520 --> 00:42:36,700
+يعني؟ خمسة واربعين في اتنين، جاء تسعين، يبقى بيصير
+
+412
+00:42:36,700 --> 00:42:41,060
+زائد او ناقص اتنين، ماعناش calculator، زائد او
+
+413
+00:42:41,060 --> 00:42:45,180
+ناقص اتنين، والفرقات بسيطة، مش كتير، واحد واربع
+
+414
+00:42:45,180 --> 00:42:49,230
+واناشر، اتنين جريمات على بعضيبقى دى حتى لو جبت مش
+
+415
+00:42:49,230 --> 00:42:53,130
+هتأثر عندي و لو اني بعدت شوية طب الخمسة و أربعين
+
+416
+00:42:53,130 --> 00:42:58,510
+لو روحت للستين نفس المشكلة مية و عشرين وجت المية و
+
+417
+00:42:58,510 --> 00:43:02,390
+عشرين وجت الستين نفس القصة يبقى روح على الخمسة و
+
+418
+00:43:02,390 --> 00:43:07,730
+سبعين دوري يبقى لو روحنا على الخمسة و سبعين درجة
+
+419
+00:43:09,840 --> 00:43:14,040
+خمسة وسبعين في اتنين، مية وخمسين، جيب المية
+
+420
+00:43:14,040 --> 00:43:19,900
+وخمسين، وجيب التلاتين، جيب التلاتين يساوي نص يبقى
+
+421
+00:43:19,900 --> 00:43:25,080
+نفس القصة، هذه واحد واربع من عشرة، يبقى زاد او
+
+422
+00:43:25,080 --> 00:43:30,800
+ناقص، واحد واربع من عشرة، بعدها بنجي تسعينأو باي
+
+423
+00:43:30,800 --> 00:43:34,560
+على تسعين في اتنين مية و تمانين جيب ال مية و
+
+424
+00:43:34,560 --> 00:43:40,140
+تمانين بزيرو يبقى رجعنا للزيرو يبقى مش ضائل إلا
+
+425
+00:43:40,140 --> 00:43:46,360
+الروح نرسم يبقى هذا ثيتا تساوي زيرو وهذا ثيتا
+
+426
+00:43:46,360 --> 00:43:53,300
+تساوي باي على اتنين يبقى دول طبعا زي دو نقل زيرو
+
+427
+00:43:53,300 --> 00:43:58,430
+بتوريكش هيها يبقى هاي نقطة هاي تنتينو هدول الست
+
+428
+00:43:58,430 --> 00:44:04,670
+يبقى ثماني نقاط فبتاع نرسم ال N00 بدنا نبدأ من
+
+429
+00:44:04,670 --> 00:44:10,430
+وين؟ من نقطة الأصل بعدها بنرسم خمستاشر درجة وناخد
+
+430
+00:44:10,430 --> 00:44:14,030
+طول واحد واربعة من عشرة ومن ناحية التانية سالب
+
+431
+00:44:14,030 --> 00:44:19,670
+واحد واربعة من عشرة خمستاشر درجة تقريبا هكذا
+
+432
+00:44:22,330 --> 00:44:28,250
+يبقى هذه 15 درجة بناخد عليها طول واحد واربعة من
+
+433
+00:44:28,250 --> 00:44:36,010
+عشرة يبقى هذه ايه لواحد مثلا واربعة من عشرة في في
+
+434
+00:44:36,010 --> 00:44:40,190
+الناحية التانية زي ما هذه بدك تروح تمد الخط هذا
+
+435
+00:44:40,190 --> 00:44:43,070
+على استقامته بالشكل اللي عندنا هذا
+
+436
+00:44:59,880 --> 00:45:08,500
+يبقى هذه شغلة تقريبية يبقى هذه خمستاشر درجة وهي
+
+437
+00:45:08,500 --> 00:45:13,440
+هنا واحد واربعة من عشرة وهنا واحد واربعة من عشرة
+
+438
+00:45:13,440 --> 00:45:18,590
+بالثالثبعد ذلك سنصل إلى خمسة واربعين درجة الخط
+
+439
+00:45:18,590 --> 00:45:20,070
+بنصف الزاوية
+
+440
+00:45:28,220 --> 00:45:34,580
+بتاخد عليه طول اتنين وسالب اتنين يبقى هذا اتنين
+
+441
+00:45:34,580 --> 00:45:39,800
+وهذا مين اللي هو سالب اتنين بالشكل اللي عندنا هذا
+
+442
+00:45:39,800 --> 00:45:46,880
+بعدين خمسة وسبعين درجة يبقى خمسة وسبعين درجة خط
+
+443
+00:45:46,880 --> 00:45:52,250
+اللي عندنا هذا يبقى هذا خمسة وسبعين درجةبدي أخذ
+
+444
+00:45:52,250 --> 00:45:57,950
+عليه طول واحد و أربعة من عشرة يبقى رجعنا لنفس
+
+445
+00:45:57,950 --> 00:46:04,510
+القصة هذه و من هنا نفسها بعدها رجعنا لمن؟ لل zero
+
+446
+00:46:04,510 --> 00:46:10,790
+يبقى بدنا نروح نرسم الشكل اللي وصل له يبقى منحنقوس
+
+447
+00:46:10,790 --> 00:46:17,430
+بالشكل هذا هيك و رجع تاني هيك و من الناحية التانية
+
+448
+00:46:17,430 --> 00:46:21,370
+هذه كمان اجه هيك و رجع هيك
+
+449
+00:46:26,450 --> 00:46:32,010
+تمام؟ يبقى هذا رسمة الملحانة الأول اللي هو R تربية
+
+450
+00:46:32,010 --> 00:46:38,550
+تساوي أربع صين اتنين ثيتا طب لو روحنا رسمنا لو
+
+451
+00:46:38,550 --> 00:46:44,790
+سألتك انا و قلتلك لو رسمنا هذا في الأول عارف لو
+
+452
+00:46:44,790 --> 00:46:49,950
+رسمنا هذا في الأول شكلك الشكل التالي هذا ثيتا
+
+453
+00:46:49,950 --> 00:46:57,540
+تساوي zero وهذا ثيتا تساوي بيعتكيبقى المنحنة هيجيك
+
+454
+00:46:57,540 --> 00:47:03,760
+بالشكل هذا هيك قوس هيك والتاني من الناحية التاني
+
+455
+00:47:03,760 --> 00:47:12,180
+هذا هيك هذا اللي هو R تساوي او R ترميه يساوي اربع
+
+456
+00:47:12,180 --> 00:47:18,560
+كوصين اتنين تيتا السؤال اللي كنت بدى اسأله لو رسمت
+
+457
+00:47:18,560 --> 00:47:25,390
+هذا المنحنة في الأول وجيت سألتك وقولتلكبعد هذا
+
+458
+00:47:25,390 --> 00:47:28,970
+سنقوم برسم الملحانة، هذا لن يأتي في بالك، لكنك
+
+459
+00:47:28,970 --> 00:47:33,290
+ستقول لي علامة و رواية، مظبوط؟ يبقى الشغل ليس
+
+460
+00:47:33,290 --> 00:47:38,910
+التحذير، وإنما تريد استخدام معلومات كامة، تمام؟
+
+461
+00:47:38,910 --> 00:47:43,910
+يبقى ده احنا غششناه كرسمة، التانية يجب أن تعملها
+
+462
+00:47:43,910 --> 00:47:48,210
+جدول و symmetry وطبعا كصين هذه، وزي ما انت شايف
+
+463
+00:47:48,800 --> 00:47:53,980
+متمثلة بالنسبة لمحور X ومتمثلة بالنسبة لمحور Y
+
+464
+00:47:53,980 --> 00:47:59,640
+ومتمثلة بالنسبة للـOrigin هذه لا يوجد تماثل إلا
+
+465
+00:47:59,640 --> 00:48:04,060
+بالنسبة للـOrigin هذه على اليمين ومافيش واحد
+
+466
+00:48:04,060 --> 00:48:07,400
+أجبالها على الشمال هذا الجزء على الشمال ومافيش
+
+467
+00:48:07,400 --> 00:48:10,080
+واحد أجباله على اليمين، لا يوجد اي سيمتري في
+
+468
+00:48:10,080 --> 00:48:14,780
+الواقع Y طلع هذا نوفقي، هذه فوق ومافيش أجبالها
+
+469
+00:48:14,780 --> 00:48:18,810
+واحدة تحت وهذه تحت ومافيش واحد أجبالها فوقيبقى no
+
+470
+00:48:18,810 --> 00:48:23,710
+symmetry about the x-axis يبقى مضل علشان دي إلا
+
+471
+00:48:23,710 --> 00:48:30,890
+تمثل حوالي المية حياليا ال origin نعطي كمان مثال
+
+472
+00:48:30,890 --> 00:48:40,950
+هذا مثال أربعة أربعة
+
+473
+00:48:40,950 --> 00:48:50,660
+بيقول للمرة Aر تساوي اربعة كوصين اتنين ثيتا ونمر B
+
+474
+00:48:50,660 --> 00:49:01,140
+ر تساوي اربعة صين اتنين ثيتا ونمر C ر
+
+475
+00:49:01,140 --> 00:49:10,640
+تساوي كوصين تلاتة ثيتا ونمر D ر تساوي صين تلاتة
+
+476
+00:49:10,640 --> 00:49:19,660
+ثيتاخلّيني أعطيك سلوشي السيمتري
+
+477
+00:49:19,660 --> 00:49:29,720
+سيكون مجرد تجارب لك سيمتري هذا مجرد تجاربهنا طبعا
+
+478
+00:49:29,720 --> 00:49:34,960
+متمثل بالنسبة ل X متمثل بالنسبة ل Y متمثل بالنسبة
+
+479
+00:49:34,960 --> 00:49:38,980
+لنقطة الأصل إذا ماعنديش مشكلة فيه خالص بالمرة بدنا
+
+480
+00:49:38,980 --> 00:49:42,920
+نروح نعمل جدول طبعا أنا بحكي لنفس بلى نمرى ايه
+
+481
+00:49:42,920 --> 00:49:46,820
+يبقى لو روحت عملت الجدول بدي أخد الجدول الشكل
+
+482
+00:49:46,820 --> 00:49:47,520
+التالي
+
+483
+00:49:50,860 --> 00:49:57,560
+هنا ثيتا وهنا R تساوي اربعة كوصين اتنين ثيتا دوري
+
+484
+00:49:57,560 --> 00:50:03,600
+مباشرة يبقى بالدهش ياخد Zero كوصين صفر يبقى دهش
+
+485
+00:50:03,600 --> 00:50:09,580
+بواحد يبقى الطول يساوي اربعة لو جت اخد خمستاشر
+
+486
+00:50:09,580 --> 00:50:15,160
+درجة ايه خمستاشر درجة في اتنين تلاتين جت تلاتين
+
+487
+00:50:15,160 --> 00:50:20,400
+جدر تلاتة ع التاني يبقى اتنينجدر تلاتة اللي هو
+
+488
+00:50:20,400 --> 00:50:26,220
+تلاتة صحيح وأربعة من عشرة بعد الخمستاشر لو أخد
+
+489
+00:50:26,220 --> 00:50:34,460
+تلاتين في اتنين ستين جتا ستين بلص يفجف كده؟ باتنين
+
+490
+00:50:34,460 --> 00:50:41,780
+بعد لو أخد خمسة واربعين درجة بيطلع كده؟ Zero خمسة
+
+491
+00:50:41,780 --> 00:50:46,810
+واربعين في اتنين بتسعين اللي هو مين؟بزيرو بالشكل
+
+492
+00:50:46,810 --> 00:50:51,950
+اللي عندنا هذا بعد الخمسة وأربعين لو أخدت الستين
+
+493
+00:50:51,950 --> 00:50:58,470
+خمسة وسبعين تسعين وخلصنا من الشغل هذه طيب ستين في
+
+494
+00:50:58,470 --> 00:51:05,490
+اتنين بمية وعشرين زي جتا الستين جتا الستين بسالب
+
+495
+00:51:05,490 --> 00:51:11,510
+نص يبقى سالي باتنين لو كملت بظل سالب تلاتة واربعة
+
+496
+00:51:11,510 --> 00:51:18,250
+من عشر وهنا سالب اربعةخلّي بالك كويس يبقى بدي امسح
+
+497
+00:51:18,250 --> 00:51:30,110
+بس الجزء هذا مشان نرسم الرسم بشكل اكبر يبقى
+
+498
+00:51:30,110 --> 00:51:36,570
+الرسم هتاخد الشكل التالي هذا theta تساوي zero وهذا
+
+499
+00:51:36,570 --> 00:51:41,210
+theta تساوي πاي على الاتنين النقطة الأولى zero
+
+500
+00:51:41,210 --> 00:51:48,380
+اربعة بدأ تبدأ من هناكمّل الجدول الجدول هتلاقي
+
+501
+00:51:48,380 --> 00:51:56,400
+أجالك هيك تمام؟ وبعد هيك أجى ووقف هيك هذا كل
+
+502
+00:51:56,400 --> 00:52:02,940
+جدولنا طلع خمس تاشر درجة هي خمس تاشر درجة قداشة
+
+503
+00:52:02,940 --> 00:52:06,760
+خدنا عليها طول تلاتة صحيح وأربعة من عشرة لأن هذه
+
+504
+00:52:06,760 --> 00:52:14,390
+كانت أربعة وزيروبعدها تلاتين درجة كبرناها شوية
+
+505
+00:52:14,390 --> 00:52:19,730
+تلاتين درجة صار عندها هذه بعد التلاتين خمسة
+
+506
+00:52:19,730 --> 00:52:25,170
+واربعين رجعنا ووصلنا للنقطة هذه بعد الخمسة واربعين
+
+507
+00:52:25,170 --> 00:52:31,870
+ستين درجة يبقى هذه الستين درجة أخدنا في الخلف سالي
+
+508
+00:52:31,870 --> 00:52:38,980
+باتنين يبقى لو مدناه على استقامتهبدي اجيلك هك و
+
+509
+00:52:38,980 --> 00:52:43,780
+بدي اجيلك سالب اتنين اما بعده سالب تلاتة صحيح
+
+510
+00:52:43,780 --> 00:52:49,780
+اربعة من عشرة اللي بعده سالب اربعة هاي رسمناه الان
+
+511
+00:52:49,780 --> 00:52:54,360
+في تمثل بالنسبة ل X تمثل بالنسبة ل Y تمثل بالنسبة
+
+512
+00:52:54,360 --> 00:52:59,520
+لنقطة الاصل تمثل بالنسبة ل X يبقى هذا بدي يظهر جوز
+
+513
+00:52:59,520 --> 00:53:07,150
+زيه جوز زيه الشكل هناتمثل بالنسبة ليكسيب جهد الجثه
+
+514
+00:53:07,150 --> 00:53:13,640
+بده يظهر كمان جثه تاني زي و هيكالان في تمثل
+
+515
+00:53:13,640 --> 00:53:18,820
+بالنسبة لواي يبقى هذا تمثل بالنسبة لواي معناته هذا
+
+516
+00:53:18,820 --> 00:53:25,120
+جوس بده يظهر زيه وهذا جوس بده يظهر زيه والورقة
+
+517
+00:53:25,120 --> 00:53:29,580
+اللي على اليمين بده يظهر زيها وورقة على الشمال
+
+518
+00:53:29,580 --> 00:53:35,980
+يبقى منحنة الظهرة دول أربع ورقات يبقى هذا اسمه
+
+519
+00:53:35,980 --> 00:53:45,020
+four petals roseمنحنى الزهرة دول أربع ورقات طيب لو
+
+520
+00:53:45,020 --> 00:53:51,700
+جينا رسمنا المنحنى التاني اللي هو sin 2θ يبقى بدي
+
+521
+00:53:51,700 --> 00:53:57,900
+يكون شكله بالشكل هذا هذا θ تساوي zero و هذا θ
+
+522
+00:53:57,900 --> 00:54:05,490
+تساوي pi على اتنينهذا ثيتا تساوي باية على أربعة
+
+523
+00:54:05,490 --> 00:54:12,250
+ومن الناحية هذه ثيتا تساوي تلاتة باية على أربعة طل
+
+524
+00:54:12,250 --> 00:54:18,070
+على الرسم شيء بدي يكون يبقى هذا ورقة وهذه ورقة
+
+525
+00:54:18,070 --> 00:54:24,930
+تانية وهذه التالتة وهذه الرابعة أقولك زخرة فاليوم
+
+526
+00:54:24,930 --> 00:54:32,110
+عندك تمام؟طيب، لاحظ، تماثل بالنسبة ل X، تماثل
+
+527
+00:54:32,110 --> 00:54:36,710
+بالنسبة ل Y، تماثل كذلك بالنسبة لل origin. هذه
+
+528
+00:54:36,710 --> 00:54:45,060
+نمرة B، نمرة Cنمرى C هي المحاولة هي θ تساوي zero و
+
+529
+00:54:45,060 --> 00:54:52,360
+θ تساوي باي على اتنين فالعلي كوصين يبقى فيه تمثل
+
+530
+00:54:52,360 --> 00:54:57,240
+بالنسبة لمح و ركز يبقى هاي ورقة و يتيجي لك ورقة
+
+531
+00:54:57,240 --> 00:55:04,260
+تانية هنا و ورقة تالتة هنا اخر حاجة نمرى D نمرى D
+
+532
+00:55:04,260 --> 00:55:13,490
+يبقى هاي ورقة هيك و هاي ورقة هيكوهذه هيك وهذه هيك
+
+533
+00:55:13,490 --> 00:55:20,130
+طبعا هنا تمثل فقط بالنسبة ل Y هنا تمثل فقط بالنسبة
+
+534
+00:55:20,130 --> 00:55:26,970
+ل X طيب هذه نمرة C وهذه نمرة D الملاحظة الأخيرة
+
+535
+00:55:26,970 --> 00:55:30,670
+اللي بدي أقولها و أطلعوا فيها كويس لما كان عندي
+
+536
+00:55:30,670 --> 00:55:37,780
+Sin 2θ أو Cos 2θ بقال عندي كم ورقةأربعة ورقات يعني
+
+537
+00:55:37,780 --> 00:55:41,200
+لو كان cosine أربعة ثيتا أو cosine أربعة ثيتا بدي
+
+538
+00:55:41,200 --> 00:55:45,700
+يطلع عندي قداش تمان ورقات يعني إذا الرقم اللي
+
+539
+00:55:45,700 --> 00:55:51,220
+مضروب في ثيتا رقما زوجيا فعدل ورقات مضاعفة هذا
+
+540
+00:55:51,220 --> 00:55:55,750
+الرقمأما إن كان فردي تلاتة خمسة سبعة تسعة أحداث
+
+541
+00:55:55,750 --> 00:56:00,490
+فعدد الورقات يسوى عدد الرقم الفردي اللي موجود
+
+542
+00:56:00,490 --> 00:56:04,890
+عندنا لحد هنا انتهى ال section وعليكم أرقام
+
+543
+00:56:04,890 --> 00:56:14,930
+المسائل اللي هو exercises أحد عشر أربعة المسائل
+
+544
+00:56:14,930 --> 00:56:20,770
+التالية من واحد لخمسة وعشرين الأد
+
+545
+00:56:25,040 --> 00:56:27,680
+المرة الجاية ان شاء الله بنبدأ ال section الجديد
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/txFH1maO-1Q.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/txFH1maO-1Q.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2c68a6ad462663bcc8cff2b1973bc3ab03be1271
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/txFH1maO-1Q.srt
@@ -0,0 +1,1799 @@
+1
+00:00:10,060 --> 00:00:17,040
+نكمل ما ابتدأنا فيه المرة الماضية وهو section 11-3
+
+2
+00:00:17,040 --> 00:00:22,020
+الـ polar coordinates وصلنا بعد ما أعطينا الفرق ما
+
+3
+00:00:22,020 --> 00:00:24,800
+بين النقطة في الإحداثيات الكارتزية والنقطة في
+
+4
+00:00:24,800 --> 00:00:30,200
+الإحداثيات القطبية وصلنا إلى معادلة الدائرة فقلنا R
+
+5
+00:00:30,200 --> 00:00:34,720
+تساوي A هي معادلة دائرة مركزها نقطة الأصل ونصف 
+
+6
+00:00:34,720 --> 00:00:39,320
+قطر يساوي  absolute value لـ A ومثال ذلك لو قلنا R
+
+7
+00:00:39,320 --> 00:00:43,900
+تساوي سالب خمسة فهي عبارة عن دائرة مركزها نقطة
+
+8
+00:00:43,900 --> 00:00:47,540
+الأصل ونصف قطر يساوي absolute value لـ سالب خمسة
+
+9
+00:00:47,540 --> 00:00:53,470
+اللي هو عبارة عن خمسة ثم قلنا كيف نحول
+
+10
+00:00:53,470 --> 00:00:57,730
+من R السالبة إلى R الموجبة ونجعل R موجبة مضروبة
+
+11
+00:00:57,730 --> 00:01:03,970
+ونضيف 180 درجة للزاوية ونجلب النقطة المكافئة للنقطة
+
+12
+00:01:03,970 --> 00:01:09,490
+اللي عندنا ثم بعد ذلك قلنا أخذنا مثال المثال
+
+13
+00:01:09,490 --> 00:01:15,550
+أعطينا معادلة منحنى في الإحداثيات القطبية ونقطة
+
+14
+00:01:15,550 --> 00:01:21,080
+وسألنا هل المنحنى يمر بهذه النقطة أم لا ننتقل على
+
+15
+00:01:21,080 --> 00:01:26,700
+نفس الموضوع اللي هو مثال رقم اثنين مثال رقم اثنين
+
+16
+00:01:26,700 --> 00:01:30,300
+بيقول ارسم الـ set of points رسم لمجموعة نقاط
+
+17
+00:01:30,300 --> 00:01:34,220
+with polar coordinates اللي إحداثياتها القطبية
+
+18
+00:01:34,220 --> 00:01:41,800
+التي تحقق المعادلات والمتباينات التالية المتباينة
+
+19
+00:01:41,800 --> 00:01:44,920
+لأن الـ which are greater than or equal to one and
+
+20
+00:01:44,920 --> 00:01:50,940
+smaller than or equal to two هذول عبارة عن متباينتين
+
+21
+00:01:50,940 --> 00:01:57,260
+في آن واحد المتباينة الأولى هي R أكبر من أو تساوي
+
+22
+00:01:57,260 --> 00:02:02,960
+واحد والمتباينة الثانية هي R أقل من أو يساوي اثنين
+
+23
+00:02:02,960 --> 00:02:07,680
+إذا لو جئنا سمينا هذه المتباينات هتكون على الشكل
+
+24
+00:02:07,680 --> 00:02:13,480
+التالي هذا θ تساوي صفر وهذا θ تساوي كم π على
+
+25
+00:02:13,480 --> 00:02:19,550
+اثنين وهذه نقطة الأصل لو قلنا R تساوي واحد طبقا
+
+26
+00:02:19,550 --> 00:02:24,150
+للكلام اللي ذكرناه قبل قليل R تساوي واحد هي عبارة
+
+27
+00:02:24,150 --> 00:02:30,010
+عن دائرة مركزها نقطة الأصل ونصف قطرها يساوي واحد
+
+28
+00:02:30,010 --> 00:02:35,190
+صحيح إذا لو روحنا رسمنا دائرة بتأخذ الشكل التالي
+
+29
+00:02:35,190 --> 00:02:42,530
+اللي عندنا هذا يبقى هذه الدائرة لنصف قطرها R تساوي
+
+30
+00:02:42,530 --> 00:02:48,370
+واحد اللي هو هذا نصف القطر تبع هذه الدائرة الآن
+
+31
+00:02:48,370 --> 00:02:53,270
+أكبر من واحد يبقى كل المنطقة اللي خارج الدائرة
+
+32
+00:02:53,270 --> 00:02:57,790
+هذه تماما بس على إطلاقها والله في شيء بدي أضعه 
+
+33
+00:02:57,790 --> 00:03:01,630
+في شيء بدي أضعه اللي هو من الدائرة الثانية فلو
+
+34
+00:03:01,630 --> 00:03:06,690
+جئت للدائرة R تساوي اثنين يبقى R تساوي اثنين هي
+
+35
+00:03:06,690 --> 00:03:10,630
+عبارة عن الدائرة اللي عندنا هذه يبقى هذه R يساوي
+
+36
+00:03:10,630 --> 00:03:16,010
+اثنين لو رسمنا نصف القطر تبعها يبقى هذه المسافة
+
+37
+00:03:16,010 --> 00:03:19,830
+اللي هي اثنين وهذه المسافة اللي في الأول اللي هي
+
+38
+00:03:19,830 --> 00:03:25,960
+تساوي كم هذه واحد وهذه عبارة عن اثنين R أقل من أو
+
+39
+00:03:25,960 --> 00:03:30,120
+يساوي اثنين يبقى بترجع لوين؟ للداخل، إذا انحصرت
+
+40
+00:03:30,120 --> 00:03:36,220
+المسافة أو المساحة اللي عندنا هذه كلها فهذا يمثل
+
+41
+00:03:36,220 --> 00:03:41,120
+كم المنطقة اللي عندنا أكبر من R تساوي واحد وأقل
+
+42
+00:03:41,120 --> 00:03:46,120
+من R تساوي اثنين يبقى حصر الـ washer اللي قدامنا
+
+43
+00:03:46,120 --> 00:03:52,860
+هذه الآن لو جئنا لـ نمرة ب من هذه المثلة نمرة ب
+
+44
+00:03:52,860 --> 00:04:01,460
+بيقول لي θ تساوي π على ثلاثة وسالب واحد أقل من
+
+45
+00:04:01,460 --> 00:04:08,860
+أو يساوي R أقل من أو يساوي π على اثنين بنرسم
+
+46
+00:04:08,860 --> 00:04:13,500
+مجموعة النقاط الممثلة بهذه المعادلة الأولى
+
+47
+00:04:13,500 --> 00:04:19,600
+وبـ inequality الثانية يبقى لو روحنا للمحاور هذا R
+
+48
+00:04:19,600 --> 00:04:28,200
+تساوي θ أو هذا θ تساوي صفر وهذا θ تساوي π على
+
+49
+00:04:28,200 --> 00:04:33,100
+اثنين بيجي إلى θ تساوي π على ثلاثة زي ما أنت شايف
+
+50
+00:04:33,100 --> 00:04:37,460
+θ تساوي صفر و θ تساوي π على اثنين أو in general
+
+51
+00:04:38,050 --> 00:04:43,130
+θ تساوي θ naught بمعادلة خط؟ θ تساوي θ
+
+52
+00:04:43,130 --> 00:04:46,310
+naught، مكتوبة معك المرة اللي فاتت عبارة عن معادلة
+
+53
+00:04:46,310 --> 00:04:52,710
+خط؟ خذها قدامك، خط مستقيم، إذا θ تساوي π على
+
+54
+00:04:52,710 --> 00:04:56,830
+ثلاثة عبارة عن معادلة خط مستقيم يبقى عند زاوية
+
+55
+00:04:56,830 --> 00:05:00,530
+متساوية π على ثلاثة مع الاتجاه الموجب للـ polar
+
+56
+00:05:00,530 --> 00:05:05,250
+axis يبقى لو رحت رسمت الخط هذا بدي يكون الخط اللي
+
+57
+00:05:05,250 --> 00:05:12,110
+عندنا هذا بهذا الشكل بعمل زاوية مقدارها π على
+
+58
+00:05:12,110 --> 00:05:18,710
+ثلاثة مع الخط الغامق هذا اللي عندنا بهذا
+
+59
+00:05:18,710 --> 00:05:19,230
+الشكل
+
+60
+00:05:27,970 --> 00:05:33,110
+بس الخط هذا ليس على إطلاقه عليه قيود من الناحية
+
+61
+00:05:33,110 --> 00:05:33,690
+الثانية
+
+62
+00:05:53,830 --> 00:05:58,590
+الخط الوحيد اللي معنا ليس معادلة خط واحد، لكن الخط
+
+63
+00:05:58,590 --> 00:06:03,370
+واحد مقيد بـ كم؟ بـ inequality هذه. الآن أنا لما
+
+64
+00:06:03,370 --> 00:06:07,710
+جئت رسمت π على ثلاثة، لو قلت بدي أمشي عليه أرض
+
+65
+00:06:07,710 --> 00:06:12,730
+سوية ثلاثة، بدي أعد واحد، اثنين، ثلاثة، وبدي أوقف
+
+66
+00:06:12,730 --> 00:06:16,970
+عند النقطة هذه، يبقى النقطة هذه إحداثياتها هي
+
+67
+00:06:16,970 --> 00:06:23,260
+ثلاثة وكم؟ و π على ثلاثة، تمام تمام. الآن لو
+
+68
+00:06:23,260 --> 00:06:28,300
+قلت θ تساوي π على ثلاثة و R تساوي سالب واحد يبقى
+
+69
+00:06:28,300 --> 00:06:31,760
+بدل ما جئنا فوق وترحت جئنا وين؟ بدنا نجي تحت، بدنا
+
+70
+00:06:31,760 --> 00:06:35,890
+تجينا النقطة اللي عندنا هذه يبقى كل اللي تحت هذا
+
+71
+00:06:35,890 --> 00:06:43,690
+ما لهش لزوم بنسبة لنا نكتفي بهنا اللي هي سالب واحد و
+
+72
+00:06:43,690 --> 00:06:49,510
+π على ثلاثة يبقى هذا الخط المستقيم الذي يمثل
+
+73
+00:06:49,510 --> 00:06:55,950
+بالمعادلة اللي عندنا هذه وبالمتباينة الثانية لو
+
+74
+00:06:55,950 --> 00:07:03,190
+جئنا لنمرة ج، نمرة ج بيقول لي θ محصورة ما
+
+75
+00:07:03,190 --> 00:07:12,810
+بين صفر وما بين π والـ R تساوي سالب واحد بنرسم الـ
+
+76
+00:07:12,810 --> 00:07:16,710
+inequality هذه مع المعادلة هذه ونعرف إيه شكلها
+
+77
+00:07:16,710 --> 00:07:22,010
+فضاجي بقول هذه المحاولة اللي عندنا بهذا الشكل  θ
+
+78
+00:07:22,010 --> 00:07:30,510
+تساوي صفر و θ تساوي π على اثنين طلع لي كويسة θ
+
+79
+00:07:30,510 --> 00:07:36,550
+تتغير من صفر لغاية π يعني كدهش؟ من صفر لمية
+
+80
+00:07:36,550 --> 00:07:43,330
+وثمانين درجة وين ما يروح الخط θ تساوي θ naught دي كونه
+
+81
+00:07:43,330 --> 00:07:47,390
+الطول كم عنها سالب واحد، يعني المكان اللي أوصله
+
+82
+00:07:47,390 --> 00:07:50,710
+بدك تجيس وين؟ في الناحية الثانية، مش في الناحية
+
+83
+00:07:50,710 --> 00:07:54,470
+الموجبة اللي وصلت لها، وإنما في الناحية السالبة،
+
+84
+00:07:54,470 --> 00:07:59,780
+نبدأ بالنقطة الأولى لو أخذت الخط θ تساوي صفر، و
+
+85
+00:07:59,780 --> 00:08:04,380
+أين θ تساوي صفر؟ الخط هذا، بدك تجيس عليه R
+
+86
+00:08:04,380 --> 00:08:08,420
+تساوي سالب واحد، يبقى هذه النقطة الأصل اللي عندنا،
+
+87
+00:08:08,420 --> 00:08:12,000
+هي θ تساوي صفر، اللي هي نفس الـ polar axis، بدك
+
+88
+00:08:12,000 --> 00:08:15,220
+تجيس سالب واحد، وأين بده يجي؟ في الناحية الثانية،
+
+89
+00:08:15,220 --> 00:08:23,640
+تجيك النقطة هذه، اللي هي سالب واحد وصفر بعد الـ
+
+90
+00:08:23,640 --> 00:08:27,560
+صفر بيجيك مثلًا π على أربعة π على أربعة ليه
+
+91
+00:08:27,560 --> 00:08:32,360
+خمسة وأربعين الخط π على أربعة يعني بده ينص في
+
+92
+00:08:32,360 --> 00:08:37,520
+الزاوية اللي هنا وبدنا نمده على استقامته برضه π
+
+93
+00:08:37,520 --> 00:08:43,140
+على أربعة ليه خمسة وأربعين درجة مالك أنت بقول
+
+94
+00:08:43,140 --> 00:08:45,680
+هلا وصل π هلا وصل π هلا وصل π هلا وصل π هلا وصل
+
+95
+00:08:45,680 --> 00:08:47,240
+هلا وصل π هلا وصل π هلا وصل π هلا وصل π هلا وصل
+
+96
+00:08:47,240 --> 00:08:54,480
+π هلا وصل π هلا وصل π هلا وصل π 
+
+97
+00:08:54,480 --> 00:08:59,060
+هلا وصل π هلا وصل π هلا وصل π هلا وصل π هلا وصل
+
+98
+00:08:59,060 --> 00:09:03,640
+π هلا وصل π هلا وصل π هلا وصل π هلا وصل π
+
+99
+00:09:03,640 --> 00:09:06,060
+هلا وصل π هلا وصل π هلا وصل π هلا وصل π هلا وصل
+
+100
+00:09:06,060 --> 00:09:10,410
+π هلا وصل لو كان الـ θ بـ π يبقى هذا الخط
+
+101
+00:09:10,410 --> 00:09:17,010
+اللي هو θ تساوي π يبقى
+
+102
+00:09:17,010 --> 00:09:22,430
+هذا اللي هو سالب واحد و π اللي هي النقطة هذه لو
+
+103
+00:09:22,430 --> 00:09:27,890
+روحنا وصلنا بين النقاط هذه بهذا الشكل هتلاقيه إيش
+
+104
+00:09:27,890 --> 00:09:35,210
+النصف السفلي لمن؟ مركزها نقطة الأصل ونصف قطرها
+
+105
+00:09:35,210 --> 00:09:38,770
+يبقى
+
+106
+00:09:38,770 --> 00:09:52,010
+هذه the lower half النصف السفلي of a circle with
+
+107
+00:09:52,010 --> 00:09:59,590
+center at the origin and
+
+108
+00:10:02,430 --> 00:10:09,470
+radius absolute value لـ سالب واحد يبقى نصف سفلي
+
+109
+00:10:09,470 --> 00:10:14,470
+بعيد الشغل هذه كمان مرة صح صح معايا كويس احنا بنا
+
+110
+00:10:14,470 --> 00:10:18,790
+نأتي لـ θ تساوي صفر نبدأ فيها وناخد عليها طول
+
+111
+00:10:18,790 --> 00:10:21,930
+يساوي سالب واحد هذا هو اتجاه الموجب
+
+112
+00:10:26,250 --> 00:10:29,870
+بنمشي بعد الـ صفر بجيبنا مثلًا على سبيل المثال π على
+
+113
+00:10:29,870 --> 00:10:33,910
+أربعة خمسة وأربعين هذا الخط اللي و θ يساوي خمسة
+
+114
+00:10:33,910 --> 00:10:38,730
+وأربعين هيوصلنا خمسة وربع بنجيس في الخلف سالب واحد
+
+115
+00:10:38,730 --> 00:10:43,030
+يبقى سالب واحد و π على أربعة اللي هو النقطة
+
+116
+00:10:43,030 --> 00:10:48,810
+اللي عندنا هذه سالب واحد و π على أربعة بعد ذلك
+
+117
+00:10:48,810 --> 00:10:53,370
+سالب واحد و π على اثنين سالب واحد و π هي π
+
+118
+00:10:53,370 --> 00:10:57,830
+وجسنا سالب واحد في الخلف وصلنا فيه ما بينهم فعطاني
+
+119
+00:10:57,830 --> 00:11:03,430
+النص السفلي لهذه الدائرة حد بدي أسأل سؤال قبل ما
+
+120
+00:11:03,430 --> 00:11:14,410
+أكمل طيب لقي شيء ثاني يجلي شوية ABCD
+
+121
+00:11:14,410 --> 00:11:23,340
+سالب واحد و π آخر نقطة النمرة D بدنا سالب π على
+
+122
+00:11:23,340 --> 00:11:29,120
+أربعة أقل من أو يساوي صفر أقل من أو يساوي π على
+
+123
+00:11:29,120 --> 00:11:36,200
+أربعة وسالب واحد أقل من أو يساوي R أقل من أو
+
+124
+00:11:36,200 --> 00:11:41,340
+يساوي واحد وين الصفر والـ θ؟
+
+125
+00:11:46,040 --> 00:11:50,680
+θ محصورة بين سالب π على أربعة و π على أربعة 
+
+126
+00:11:50,680 --> 00:11:58,400
+ثيتا محصورة ما بين الاثنين والاربع محصورة كذلك ما
+
+127
+00:11:58,400 --> 00:12:02,660
+بين اللي هو سالب واحد والواحد يعني two inequalities
+
+128
+00:12:02,660 --> 00:12:08,460
+ماعنديش متساويات وإنما عندي متباينات. بنروح نرسم
+
+129
+00:12:08,460 --> 00:12:14,390
+الرسم هنا حتى تكون الصورة واضحة يبقى هذا θ تساوي
+
+130
+00:12:14,390 --> 00:12:21,440
+zero وهذا θ تساوي باي على اثنين يجب أن أجري الخطة
+
+131
+00:12:21,440 --> 00:12:29,780
+الأولى θ يساوي سالب باي على أربعة يبقى هذا لتحت
+
+132
+00:12:29,780 --> 00:12:35,100
+الدوران مع عقارب الساعة يبقى لو جئت رسمت وأريد أن
+
+133
+00:12:35,100 --> 00:12:39,660
+أخذ الشكل هذا وأنمدّه على استقامته بالشكل هذا يبقى
+
+134
+00:12:39,660 --> 00:12:45,860
+هذا اللي هو θ يساوي سالب باي على أربعة يبقى نأخذ
+
+135
+00:12:45,860 --> 00:12:51,200
+عليه طول واحد وسالب واحد احنا ماشيين الزاوية هذه
+
+136
+00:12:51,200 --> 00:12:58,060
+هيك يبقى هذا اللي هو يعتبر واحد وهذا اللي يعتبر من
+
+137
+00:12:58,060 --> 00:13:03,900
+سالب واحد اللي هو من الناحية الثانية يبقى هذا واحد
+
+138
+00:13:03,900 --> 00:13:12,540
+وسالب باي على أربعة وهذا سالب واحد وسالب باي على 
+
+139
+00:13:12,540 --> 00:13:21,560
+أربعة بعد الـ باي على 4 سنذهب لـ θ مثلاً تساوي 0. لو
+
+140
+00:13:21,560 --> 00:13:29,060
+جئنا لـ θ تساوي 0 ها هي يبقى الطول هنا 1 وهنا الطول
+
+141
+00:13:29,060 --> 00:13:36,810
+من الناحية الثانية سالب 1 يبقى هنا واحد وصفر وهنا
+
+142
+00:13:36,810 --> 00:13:43,190
+سالب واحد وصفر بعد ذلك يأتي الخط θ تساوي باي على
+
+143
+00:13:43,190 --> 00:13:48,390
+أربعة يبقى هذا الخط اللي هو θ تساوي باي على أربعة
+
+144
+00:13:48,390 --> 00:13:53,170
+تأخذ عليه الطول اللي هو واحد والطول الثاني اللي
+
+145
+00:13:53,170 --> 00:13:58,810
+هو من سالب واحد إذا النقطة دي واحد و باي على أربعة
+
+146
+00:13:58,810 --> 00:14:07,520
+وهذه سالب واحد وباي على أربعة نصل بين هذه النقاط
+
+147
+00:14:07,520 --> 00:14:13,560
+بشكل هذا بشكل عندك هذا يعني كأنه قطعتان دائريتان
+
+148
+00:14:13,560 --> 00:14:20,060
+متحدتان بمين؟ بالرأس بقطعتين دائريتين متحدتين في الرأس
+
+149
+00:14:20,060 --> 00:14:29,120
+أيوه يا رجل أنت شفت الـ inequality هذه احنا مقيدون
+
+150
+00:14:29,120 --> 00:14:33,460
+فيها مش بمزاج نكمل الدائرة ونكملهاش أنت مقيد
+
+151
+00:14:33,460 --> 00:14:37,720
+بالانقلة تهدي ومقيد بالانقلة تهدي لا نزيد على
+
+152
+00:14:37,720 --> 00:14:43,000
+الخطوط المستقيمة ولا نزيد على الزوايا هذه سالب
+
+153
+00:14:43,000 --> 00:14:47,060
+باي على أربعة وهذه باي على أربعة محصورين فيما
+
+154
+00:14:47,060 --> 00:14:52,560
+بينهم فكيف سنكمل هذه الدائرة في الشمكانية أنت مقيد
+
+155
+00:14:52,560 --> 00:14:57,120
+بالانقلة تهدي وانقلة تهدي تمام؟ أحد بدأ يسأل سؤال
+
+156
+00:14:57,120 --> 00:15:05,080
+ثاني؟ طيب هذه النقطة الرابعة نروح للنقطة الخامسة
+
+157
+00:15:05,080 --> 00:15:14,500
+نمر ماذا نمر ماذا بيقول ليه θ أكبر من أو تساوي 
+
+158
+00:15:14,500 --> 00:15:22,850
+zero وأقل من أو يساوي باي على اثنين و
+
+159
+00:15:22,850 --> 00:15:27,690
+واحد أقل من أو يساوي absolute value لـ R absolute
+
+160
+00:15:27,690 --> 00:15:35,100
+value للاثنين يبقى عندي كمان two inequalities بس
+
+161
+00:15:35,100 --> 00:15:39,240
+عاد فيها كلام هذا شوية، أيش الكلام اللي فيها؟ قال
+
+162
+00:15:39,240 --> 00:15:44,020
+لي أجد معنى هذا، هذه الانقوالات عبارة عن two
+
+163
+00:15:44,020 --> 00:15:48,300
+inequalities الانقوالات الأولى اللي هو absolute
+
+164
+00:15:48,300 --> 00:15:58,020
+value لـ R أقل من أو يساوي 2 هذا يعني إذا وفقط إذا 
+
+165
+00:15:58,020 --> 00:16:03,480
+الـ R أقل من أو يساوي اثنين أو أكبر من أو يساوي من
+
+166
+00:16:03,480 --> 00:16:08,860
+سالب اثنين الانقوالات الثانية absolute value لـ R
+
+167
+00:16:08,860 --> 00:16:15,720
+greater than or equal to one هذا يعني إذا الـ R
+
+168
+00:16:15,720 --> 00:16:21,760
+أكبر من أو يساوي اثنين أو الـ R أقل من أو يساوي من
+
+169
+00:16:23,670 --> 00:16:29,030
+خلّي هذه المعلومتين في دماغك ونبدأ نرسم رسمتنا و
+
+170
+00:16:29,030 --> 00:16:35,130
+نعرف ما هو شكلها يبقى لو جئت وقلت هذه المحاولة I
+
+171
+00:16:35,130 --> 00:16:43,610
+θ تساوي Zero و I θ تساوي باي على اثنين نبدأ بالخط
+
+172
+00:16:43,610 --> 00:16:51,190
+θ تساوي 0 على الخط θ تساوي 0 الـ R محصورة بين 2 و
+
+173
+00:16:51,190 --> 00:16:57,630
+سالب 2 يبقى هذه عند هنا 2 وهذه من الناحية الثانية
+
+174
+00:16:57,630 --> 00:17:07,300
+سالب 2 يبقى هذه 2 وصفر وهذه سالب 2 وصفر بعد ذلك نذهب
+
+175
+00:17:07,300 --> 00:17:13,300
+إلى θ تساوي باي على أربعة يبقى هذا الخط اللي عندنا
+
+176
+00:17:13,300 --> 00:17:21,060
+θ تساوي باي على أربعة آه ضاعت عندنا شغل نسيتها الـ
+
+177
+00:17:21,060 --> 00:17:26,490
+inequality الثانية الانقلة الثانية R أكبر من الواحد
+
+178
+00:17:26,490 --> 00:17:33,270
+أو R أقل من سالب واحد، أين الواحد؟ هي الواحد، يبقى
+
+179
+00:17:33,270 --> 00:17:39,690
+هذا واحد وصفر وهذا اللي عندنا هنا يمين سالب واحد
+
+180
+00:17:39,690 --> 00:17:46,780
+وصفر الـ R أكبر من الواحد وأقل من اثنين يبقى احنا
+
+181
+00:17:46,780 --> 00:17:52,300
+مرتبطين بالمسافة بين النقطتين هدول وكذلك
+
+182
+00:17:52,300 --> 00:17:57,320
+بالمسافة بين الاثنين أقل من سالب واحد وأكبر من
+
+183
+00:17:57,320 --> 00:18:04,360
+سالب اثنين يبقى بالمنطقة هذه فقط لا غير نكمل بما
+
+184
+00:18:04,360 --> 00:18:09,680
+نأتي لـ θ تساوي باي على أربعة R محصورة ما بين اثنين
+
+185
+00:18:09,680 --> 00:18:14,880
+وسالب اثنين بنفس الفكرة يبقى هي عندنا اللي هو
+
+186
+00:18:14,880 --> 00:18:20,660
+اثنين وهي عندنا هنا سالب اثنين من الناحية الثانية
+
+187
+00:18:20,660 --> 00:18:28,920
+يبقى هذه اللي هي من اللي هي الاثنين باي على أربعة
+
+188
+00:18:28,920 --> 00:18:38,280
+وهنا سالب اثنين وباي على أربعة كويس بعد هيك بيضل
+
+189
+00:18:38,280 --> 00:18:44,120
+الجزء الأخير عنها اللي هي main اللي هو theta
+
+190
+00:18:44,120 --> 00:18:51,080
+تساوي باي على اثنين نمشي نمشي جايلك الآن هذه الـ
+
+191
+00:18:51,080 --> 00:18:56,280
+النقطة اللي عندنا هذه وهذه النقطة الثانية اللي
+
+192
+00:18:56,280 --> 00:19:00,960
+عندنا هذه يعني لحد هنا تقريباً اللي نأتي بعدها
+
+193
+00:19:00,960 --> 00:19:05,800
+التي تتساوي باي على اثنين عندك محصورة ما بين اثنين
+
+194
+00:19:05,800 --> 00:19:12,830
+وما بين سالب اثنين الشكل لأن هذا تمام؟ والـ R
+
+195
+00:19:12,830 --> 00:19:17,550
+محصورة بين سالب واحد وواحد يبقى أيش سالب واحد وأيش
+
+196
+00:19:17,550 --> 00:19:22,970
+مين؟ اللي هي واحد يبقى هذا سالب واحد وباي على
+
+197
+00:19:22,970 --> 00:19:29,550
+اثنين وهذا واحد وباي على اثنين وهنا اثنين وباي
+
+198
+00:19:29,550 --> 00:19:34,830
+على اثنين وهكذا إذا لو رحنا وصلنا فيما بينهم
+
+199
+00:19:34,830 --> 00:19:42,060
+بالشكل هذا والثاني Baguito جاي بالشكل هذا وهذا جاي
+
+200
+00:19:42,060 --> 00:19:47,840
+بالشكل اللي عندنا هذا بهذا الشكل يبقى هذه المنطقة
+
+201
+00:19:47,840 --> 00:19:53,420
+المحصورة أو المحددة بالـ two inequalities اللي
+
+202
+00:19:53,420 --> 00:19:56,160
+عندنا طيب
+
+203
+00:19:57,950 --> 00:20:09,810
+لخاطر كما سأضيف لهذا النقطة F نرسم θ أو نرسم
+
+204
+00:20:09,810 --> 00:20:24,090
+الـ point θ أو Zero θ نجد المحاور ونعرف
+
+205
+00:20:24,090 --> 00:20:29,170
+مين هي هذه هي θ تساوي زيرو وهي θ تساوي باي على
+
+206
+00:20:29,170 --> 00:20:31,470
+اثنين نجد المحاور ونعرف مين هي هذه النقطة اللي
+
+207
+00:20:31,470 --> 00:20:38,430
+هي هذه والله نقط وماشي رأيك فيها هذه يالله مين
+
+208
+00:20:38,430 --> 00:20:43,270
+يعرف يقول الشيء هذه طول يساوي زيرو وثيتا تساوي
+
+209
+00:20:43,270 --> 00:20:47,680
+ثيتان يعني θ لو تحط الزاوية اللي بدك إياها نقطة
+
+210
+00:20:47,680 --> 00:20:54,880
+الأصل، يعني هذا اقتراح للحلاج بيقول نقطة الأصل، في
+
+211
+00:20:54,880 --> 00:21:00,700
+اقتراح ثانية غير هذا الاقتراح نسمع أيوه، ماشي
+
+212
+00:21:00,700 --> 00:21:05,340
+الحال يعني بتقلع وين؟ دائرة، دائرة قد ايش نسقطرها؟
+
+213
+00:21:05,340 --> 00:21:12,020
+Zero، Zero يعني نقطة الأصل حبينا من هذا السؤال نقول
+
+214
+00:21:12,020 --> 00:21:16,420
+لك ما يأتي نقطة الأصل في الإحداثيات الديكارتية
+
+215
+00:21:16,420 --> 00:21:21,840
+إحداثيها Zero و Zero هذا في الديكارتية، لكن في الـ
+
+216
+00:21:21,840 --> 00:21:26,340
+polar لا خذ إزاي اللي بدك إياه، خذ عليها طول يستوي
+
+217
+00:21:26,340 --> 00:21:31,260
+السفر، بتطلع مين؟ نقطة الأصل وقد أتيت بها قبل ذلك
+
+218
+00:21:31,260 --> 00:21:41,390
+في الخيارات المتعددة قلت لك نقطة الأصل هي 00، 0 30
+
+219
+00:21:41,390 --> 00:21:46,710
+درجة، 0 مثلاً و 70 درجة، وبعدها قلت لك all of the
+
+220
+00:21:46,710 --> 00:21:50,730
+above وحط لي خط تحت الإجابة الصحيحة، يعني الإجابة
+
+221
+00:21:50,730 --> 00:21:54,670
+الصحيحة هي مين؟ all of the above، حط Zero وحط
+
+222
+00:21:54,670 --> 00:21:58,730
+الزوايا اللي بدك إياها، ليش؟ لأن النقطة تمثل بما لا
+
+223
+00:21:58,730 --> 00:22:07,680
+نهاية من الإحداثيات يبقى هذه تمثل الـ origin اللي هي
+
+224
+00:22:07,680 --> 00:22:13,780
+نقطة الأصل لها الـ Zero وفيه tenord حط زي ما بدك
+
+225
+00:22:18,540 --> 00:22:23,240
+استخدمنا الشغلات اللي عرفناها عن الإحداثيات
+
+226
+00:22:23,240 --> 00:22:31,160
+القطبية فقط في رسم بعض الشغلات اللي تخص الإحداثيات
+
+227
+00:22:31,160 --> 00:22:37,560
+القطبية الآن نأتي ما هي العلاقة بين الإحداثيات
+
+228
+00:22:37,560 --> 00:22:42,220
+القطبية والإحداثيات الـ kartzy
+
+229
+00:22:46,600 --> 00:22:51,540
+يعني قبلني بنحط عنوان صغير هيك the relation
+
+230
+00:22:51,540 --> 00:22:57,040
+between
+
+231
+00:22:57,040 --> 00:23:09,520
+polar
+
+232
+00:23:09,520 --> 00:23:14,640
+and cartesian
+
+233
+00:23:22,700 --> 00:23:26,280
+coordinates العلاقة بين الإحداثيات القطبية
+
+234
+00:23:26,280 --> 00:23:32,100
+والإحداثيات الديكارتية خلّي بالك معاه لو جئت أخذت
+
+235
+00:23:32,100 --> 00:23:37,460
+محاور بالشكل اللي هذا عليك أو قلت هذا θ تساوي Zero
+
+236
+00:23:37,460 --> 00:23:44,240
+وهذا θ تساوي Pi على 2 أو قديمًا بقينا نقول هذا محور
+
+237
+00:23:44,240 --> 00:23:51,680
+X وهذا محور Y خذ أي نقطة في الـ plane اللي عندك
+
+238
+00:23:51,680 --> 00:23:57,960
+نفترض أخذنا النقطة هذه وتكن هذه النقطة P قديمًا
+
+239
+00:23:57,960 --> 00:24:06,380
+XY جديدًا R و θ بدنا نعرف وين الـ X وين الـ Y وين R
+
+240
+00:24:06,380 --> 00:24:12,700
+وين الـ θ فبقى بيقول لو من هنا نزلت عمود على محور X
+
+241
+00:24:12,700 --> 00:24:19,500
+بيكون هذا هو البعد X وهذا هو البعد Y لو جئت
+
+242
+00:24:19,500 --> 00:24:27,680
+وصلت من نقطة الأصل اللي هي A لنقطة P قلنا هذا هندله
+
+243
+00:24:27,680 --> 00:24:32,000
+المرة اللي فاتت الرمز R وهذه الزاوية اللي هي من
+
+244
+00:24:32,000 --> 00:24:36,660
+زاوية θ من هذه المثلث القائمة الزاوية هذه بدنا
+
+245
+00:24:36,660 --> 00:24:41,100
+نجيب العلاقات التي تربط ما بين الإحداثيات القطبية
+
+246
+00:24:41,100 --> 00:24:47,260
+والإحداثيات الديكارتية بدنا نجي إلى أول علاقة لو
+
+247
+00:24:47,260 --> 00:24:51,320
+جئت الآن قلت لك R في كوساين الزاوية θ كده أيش
+
+248
+00:24:51,320 --> 00:24:58,800
+بيعطيك؟ X يبقى R في Cos الزاوية ثيتا يعطينا
+
+249
+00:24:58,800 --> 00:25:04,960
+main X طب لو قلت لك R في Sin الزاوية ثيتا يعطيك Y
+
+250
+00:25:04,960 --> 00:25:10,400
+إذا ليش اللي حصل؟ جبت الإحداثيات الديكارتية قديمًا 
+
+251
+00:25:10,400 --> 00:25:16,700
+كل واحد فيهم بدلالة الإحداثيين الجديدين اللّذين هما R
+
+252
+00:25:16,700 --> 00:25:25,440
+وθ طيب هذا هو اللّذان ربطولي الإحداثيات
+
+253
+00:25:25,440 --> 00:25:30,600
+القطبية بالإحداثيات الديكارتية بساحداثي قديم
+
+254
+00:25:30,600 --> 00:25:35,380
+بدلالة اثنين جداد السؤال هو نقدر نعمل العملية
+
+255
+00:25:35,380 --> 00:25:40,080
+العكسية شو يعني العملية العكسية يعني نجيب إحداثي
+
+256
+00:25:40,080 --> 00:25:45,600
+قطبي جديد بدلالة الإحداثيات اثنين جداد يعني هل
+
+257
+00:25:45,600 --> 00:25:53,220
+بتقدر نجيب θ بدلالة XY وكذلك نجيب R بدلالة XY
+
+258
+00:25:53,220 --> 00:25:58,720
+بيقولوا نعم بدنا نشوف كيف النعم هذه النقطة الأولى
+
+259
+00:25:59,720 --> 00:26:05,960
+لو جيت قسمت Y على X اقسم المعادلة التحت على المعادلة
+
+260
+00:26:05,960 --> 00:26:10,160
+الفوق بتروح R مع R بظل ساين على كوساين اللي هو بمين
+
+261
+00:26:10,160 --> 00:26:16,840
+تان يبقى هذا بدي يعطينا أن تان θ بدي يساوي Y
+
+262
+00:26:16,840 --> 00:26:23,180
+على X هيا إحداثي جديد بدلالة الإحداثيات للاثنين لكذا
+
+263
+00:26:23,180 --> 00:26:26,880
+واحد بيقول لأ أنا بجيب كمان معادلة أحلى من
+
+264
+00:26:26,880 --> 00:26:31,720
+المعادلة دي بقول له كده قال لي ربع و اجمع كيف ربع
+
+265
+00:26:31,720 --> 00:26:37,740
+و اجمع يعني قال لي هاي ال X تربيع زائد ال Y تربيع
+
+266
+00:26:37,740 --> 00:26:42,600
+R تربيع و Cos تربيع زائد R تربيع و Sin تربيع لأخذ
+
+267
+00:26:42,600 --> 00:26:45,020
+R تربيع عامل مشترك بالإنصار التربيع زي الكوساين
+
+268
+00:26:45,020 --> 00:26:50,140
+التربيع اللي بقدرش بواحد يبقى النتيجة تساوي R
+
+269
+00:26:50,140 --> 00:26:56,640
+تربيع يبقى هذه جابت إحداثي جديد بدلالة اثنين لقدام
+
+270
+00:26:56,640 --> 00:27:00,600
+هذه اللي جديد اللي هو R بدلالة X وY اللي قديمة واحد
+
+271
+00:27:00,600 --> 00:27:05,950
+بيقول أنت هذول جبتهم جبريًا بقوله صحيح قلب الجد تقدر
+
+272
+00:27:05,950 --> 00:27:10,490
+تجيبه من الرسم بقوله ماشي الحال X تربيع زائد Y
+
+273
+00:27:10,490 --> 00:27:14,870
+تربيع يساوي مين R تربيع حسب في اختياراتك المعادلة
+
+274
+00:27:14,870 --> 00:27:21,110
+الثانية نقدر نجيب الأولى؟ اه قل ازاي تساوي المقابل
+
+275
+00:27:21,110 --> 00:27:26,350
+على المقام هذه يبقى بالرسم ولا بالجبر بأي واحدة
+
+276
+00:27:26,350 --> 00:27:31,430
+فيهم للاثنين هذول المعادلتين أو هذه المعادلة تربط
+
+277
+00:27:31,430 --> 00:27:38,290
+الإحداثيات الديكارتية بالإحداثيات القطبية نبدأ ناخذ
+
+278
+00:27:38,290 --> 00:27:41,610
+أمثلة، الأمثلة هنجسمها إلى أربعة أنواع
+
+279
+00:28:01,920 --> 00:28:03,900
+المثال الأول
+
+280
+00:28:13,420 --> 00:28:18,360
+بقول find the
+
+281
+00:28:18,360 --> 00:28:28,640
+cartesian coordinates of
+
+282
+00:28:28,640 --> 00:28:35,040
+the point للنقطة
+
+283
+00:28:35,040 --> 00:28:42,920
+اللّي هي ناقص جذر اثنين و باي على أربعة
+
+284
+00:28:45,890 --> 00:28:49,470
+طبعًا احنا موضوعنا موضوع ال polar coordinates سأل
+
+285
+00:28:49,470 --> 00:28:53,190
+سؤال قال لي هات ال Cartesian coordinates معناه ده
+
+286
+00:28:53,190 --> 00:28:57,750
+شو طالب ال Cartesian يبقى الموقف ايش بدي يكون في
+
+287
+00:28:57,750 --> 00:29:02,030
+ال polar من دون ما يقولي هذي polar يبقى هذي R و
+
+288
+00:29:02,030 --> 00:29:07,190
+هذي θ على طول الخط هيك بدك تفهمها إذا احنا بدنا
+
+289
+00:29:07,190 --> 00:29:12,710
+مين بدنا X و Y باجي بقوله solution
+
+290
+00:29:15,050 --> 00:29:20,410
+الـ X بدي يساوي R في Cos الزاوية θ هذا بدي
+
+291
+00:29:20,410 --> 00:29:28,050
+يعطينا X يساوي الناقص جذر اثنين في Cos باي على أربعة
+
+292
+00:29:28,050 --> 00:29:34,790
+ويساوي الناقص جذر اثنين جتا ال 45 لواحد
+
+293
+00:29:34,790 --> 00:29:41,040
+على جذر اثنين يبقى النتيجة قداش سالب واحد بالمثل Y
+
+294
+00:29:41,040 --> 00:29:47,060
+يساوي R في ساين الزاوية θ هذا بيعطيك أن Y يساوي
+
+295
+00:29:47,060 --> 00:29:54,160
+ناقص جذر اثنين في ساين ال 45 ويساوي سالب
+
+296
+00:29:54,160 --> 00:30:00,040
+جذر اثنين في واحد على جذر اثنين هو قداش برضه
+
+297
+00:30:00,040 --> 00:30:07,340
+بسالب واحد يبقى بقى دي بقوله the point النقطة اللّي
+
+298
+00:30:07,340 --> 00:30:16,000
+سالب جذر اثنين و باي على أربعة is equivalent to
+
+299
+00:30:16,000 --> 00:30:22,620
+اللي هو سالب واحد وسالب واحد in polar coordinates
+
+300
+00:30:42,050 --> 00:30:48,670
+المثال الثاني نعمل العكس يبقى example two ونشوف
+
+301
+00:30:48,670 --> 00:30:52,690
+فايل عكس زي وادي و الله بختلف طبعًا زي ما أنت شايف
+
+302
+00:30:52,690 --> 00:30:57,150
+الكارتيزيا ما طلعتش لمين نقطة واحدة مش مالة نهاية
+
+303
+00:30:57,150 --> 00:31:01,190
+من النقط زي ما ذكرنا أن ال representation للنقطة
+
+304
+00:31:01,190 --> 00:31:04,810
+في ال polar corners is not unique ليس واحدة وإنما
+
+305
+00:31:04,810 --> 00:31:12,990
+عندي مالة نهاية من تمثيل النقطة بيقول find all
+
+306
+00:31:17,680 --> 00:31:28,480
+Possible polar coordinates of the
+
+307
+00:31:28,480 --> 00:31:34,880
+point للنقطة
+
+308
+00:31:34,880 --> 00:31:40,300
+اللّي هي أربعة جذر ثلاثة وكذلك أربعة
+
+309
+00:31:53,080 --> 00:32:00,220
+سؤال مرة ثانية، السؤال بيقول هذه كل الإحداثيات
+
+310
+00:32:00,220 --> 00:32:06,300
+القطبية الممكنة لمن؟ لنقطة العلم هذه، إذا هذه
+
+311
+00:32:06,300 --> 00:32:11,760
+مطروحة في الصيغة الديكارتية بدنا نحولها إلى مين؟
+
+312
+00:32:11,760 --> 00:32:15,840
+إلى الصيغة القطبية يعني بدي كلًا من R وθ
+
+313
+00:32:15,840 --> 00:32:22,920
+بنقوله بسيطة مدام هدى X وY يبقى R تساوي الجذر
+
+314
+00:32:22,920 --> 00:32:28,500
+التربيعي لمين؟ ل X تربيع زائد Y تربيع المعادلة
+
+315
+00:32:28,500 --> 00:32:33,480
+اللّي هناك هذا الكلام يجب أن يساوي الجذر التربيعي X
+
+316
+00:32:33,480 --> 00:32:41,280
+تربيع أربعة جذر ثلاثة لكل تربيع زائد أربعة جذر
+
+317
+00:32:41,280 --> 00:32:46,100
+ثلاثة لكل تربيع أربعة جذر ثلاثة ستة عشر في ثلاثة
+
+318
+00:32:46,100 --> 00:32:51,540
+بتمانية وأربعين ثمانية وأربعين زائد ستة عشر كم؟
+
+319
+00:32:51,540 --> 00:32:58,230
+أربعة وستون يبقى يساوي كم؟ يساوي ثمانية يبقى هذه
+
+320
+00:32:58,230 --> 00:33:04,130
+يجيبنا قداش طول R اللّي عندنا ال R يساوي 8 Y لأننا
+
+321
+00:33:04,130 --> 00:33:12,050
+مين؟ θ فبجي بقوله تان θ يساوي Y على X هذا بده
+
+322
+00:33:12,050 --> 00:33:18,670
+يعطيك أن تان θ يساوي ال Y هي 4 و X اللّي هي
+
+323
+00:33:18,670 --> 00:33:25,450
+أربعة جذر الثلاثة يساوي واحد على جذر الثلاثة هذا
+
+324
+00:33:25,450 --> 00:33:31,230
+بدي يعطيك أن θ تساوي مين الزاوية اللّي ضلها يساوي
+
+325
+00:33:31,230 --> 00:33:40,550
+واحد على جذر الثلاثة اللّي هو مين؟ باي على ثلاثة
+
+326
+00:33:40,550 --> 00:33:45,940
+اللّي هي ستين درجة يعني جيب ال باي على ثلاثة على جتا
+
+327
+00:33:45,940 --> 00:33:52,000
+باي على ثلاثة اللّي هو بيعطينا مين؟ بيعطينا اللّي
+
+328
+00:33:52,000 --> 00:33:55,080
+اللي هو الزاوية اللّي عندنا هذه ال باي على ثلاثة
+
+329
+00:33:55,080 --> 00:34:04,060
+طيب إذا صارت النقطة اللّي عندنا هنا the point is
+
+330
+00:34:04,060 --> 00:34:12,460
+ثمانية ومين التانية؟ باي على ثلاثة طب استهلنا شوية
+
+331
+00:34:12,460 --> 00:34:17,660
+قال لي في السؤال هات لي كل possible polar
+
+332
+00:34:17,660 --> 00:34:22,380
+coordinates بقوله تمام النقطة هذه لو أضفنا لها
+
+333
+00:34:22,380 --> 00:34:28,660
+مضاعفات ال 360 بكون أجبنا على السؤال وربما بالكامل
+
+334
+00:34:28,660 --> 00:34:31,480
+وربما ضيف إجابة
+
+335
+00:34:49,550 --> 00:34:55,950
+خلصنا ولا لسه مخلصناش؟ مخلصناش أنت هنا جيبت كل
+
+336
+00:34:55,950 --> 00:35:02,620
+ال 8 بالموجب لكن احتمال تبقى ال 8 بمين؟ and
+
+337
+00:35:02,620 --> 00:35:11,880
+the points
+
+338
+00:35:11,880 --> 00:35:16,940
+وكذلك النقاط لسالب ثمانية
+
+339
+00:35:21,240 --> 00:35:26,460
+180 مش عارف أقول كلامك صحيح كتبت بالسالب بقى باي
+
+340
+00:35:26,460 --> 00:35:35,160
+على ثلاثة زائد باي زائد أو ناقص 2 N باي اللّي
+
+341
+00:35:35,160 --> 00:35:41,620
+هي بتساوي مين سالب ثمانية وهذه باي على ثلاثة زائد
+
+342
+00:35:41,620 --> 00:35:47,810
+باي اللّي هو مين أربعة على ثلاثة باي زائد أو ناقص
+
+343
+00:35:47,810 --> 00:35:53,590
+2 N باي و N صفر واحد اثنين ثلاثة وإلى ما
+
+344
+00:35:53,590 --> 00:35:54,530
+شاء الله
+
+345
+00:36:04,130 --> 00:36:08,690
+طب نرجع ونستنى شوية لخطأ بسيط هذه واحدة على جذر
+
+346
+00:36:08,690 --> 00:36:15,030
+ثلاثة جت ثلاثين بنص وجت ثلاثين بجذر ثلاثة على
+
+347
+00:36:15,030 --> 00:36:22,660
+اثنين اه كلامه مظبوط شو اسمك أنت؟ يوسف ايش؟ القول،
+
+348
+00:36:22,660 --> 00:36:28,120
+ما تخافش بس، كويس؟ يبقى الكلام يوسف مظبوط، هذه باي
+
+349
+00:36:28,120 --> 00:36:35,240
+على ستة وليست باي على ثلاثة وهذه باي على ستة وهذه
+
+350
+00:36:35,240 --> 00:36:43,820
+باي على ستة وهذه سبعة باي على ستة اصلحوا بس بدل
+
+351
+00:36:43,820 --> 00:36:48,740
+ثلاثة حط ستة وآخر واحدة بدل أربعة باي على ثلاثة سبعة
+
+352
+00:36:48,740 --> 00:36:53,140
+باي على ستة وبيصير كلامنا صحيح مائة بالمائة كيف؟ ليس
+
+353
+00:36:53,140 --> 00:36:58,100
+سبعة شايف
+
+354
+00:36:58,100 --> 00:37:05,180
+الرقم هذا إيش؟ موجب إيش كتب ده؟ بيعملوا سالب و
+
+355
+00:37:05,180 --> 00:37:09,260
+ما حدش يلو كلام عندي بس أروح أضيف عزاج وأقدرش 180
+
+356
+00:37:09,260 --> 00:37:14,700
+مكتوب معاك المرة الماضية ولا ما حضرتش؟ بعوض الله
+
+357
+00:37:14,700 --> 00:37:23,460
+طيب، الآن نعمل نفس الفكرة بس بطريقة أخرى سؤال
+
+358
+00:37:23,460 --> 00:37:27,620
+الثالث بقول
+
+359
+00:37:27,620 --> 00:37:33,400
+replace استبدل the following
+
+360
+00:37:37,300 --> 00:37:43,040
+اكتبه بدون صوت بقول وبعدين we replace the
+
+361
+00:37:43,040 --> 00:37:48,740
+following polar equations
+
+362
+00:37:48,740 --> 00:37:59,540
+by the equivalent by
+
+363
+00:37:59,540 --> 00:38:03,520
+the equivalent cartesian equation
+
+364
+00:38:09,090 --> 00:38:16,250
+Cartesian equations then describe
+
+365
+00:38:16,250 --> 00:38:20,250
+the
+
+366
+00:38:20,250 --> 00:38:23,950
+graph اصف
+
+367
+00:38:23,950 --> 00:38:34,310
+لما هو الرسم البياني نمر a الـ R تساوي ناقص ثلاثة
+
+368
+00:38:34,310 --> 00:38:35,590
+في سك الزاوية
+
+369
+00:38:54,870 --> 00:39:00,670
+هذه المعادلة في الصيغة القطبية نحولها إلى الصيغة
+
+370
+00:39:00,670 --> 00:39:08,390
+الديكارتية هل
+
+371
+00:39:08,390 --> 00:39:13,020
+المعادلات اللّي كتبناها متوسعة double فيهم سك؟ كله
+
+372
+00:39:13,020 --> 00:39:17,340
+ساين وكوساين إذا كنت تحول معدلاتك بدلالة main ساين وكوساين
+
+373
+00:39:17,340 --> 00:39:22,280
+يبقى هذه بقدر أكتبها R تساوي ناقص ثلاثة على main
+
+374
+00:39:22,280 --> 00:39:28,000
+على كوساين زاوية θ لو عملنا ضرب تبادل يبقى بيصير
+
+375
+00:39:28,000 --> 00:39:32,440
+R كوساين θ يساوي قداش سالب ثلاثة R كوساين θ 
+
+376
+00:39:32,440 --> 00:39:39,600
+عبارة عن مين X يبقى هذا معناته X يساوي سالب ثلاثة
+
+377
+00:39:40,110 --> 00:39:43,150
+إكس يساوي سالب ثلاثة في الكارتيزيا المعادلة
+
+378
+00:39:43,150 --> 00:39:50,870
+ايش؟ قط مستقيم بوزي مين؟ بوزي المحور و جاي على يمينه
+
+379
+00:39:50,870 --> 00:39:57,090
+طبعا على شماله؟ طب صح صحي شوية على شماله و بيبدأ عنه
+
+380
+00:39:57,090 --> 00:39:59,690
+مسافة مقدارها ثلاثة
+
+381
+00:40:23,120 --> 00:40:30,520
+على الشمال من الـ Y axis وموازي له المعادلة الثانية
+
+382
+00:40:32,920 --> 00:40:40,840
+نمر اثنين أو نمر بي ار ساين الزاوية ثيتا يساوي لن
+
+383
+00:40:40,840 --> 00:40:50,980
+الـ R زائد لن كوساين الزاوية ثيتا solution إذا الـ R
+
+384
+00:40:50,980 --> 00:40:59,240
+ساين الزاوية ثيتا لن زائد لن تعني ايه لن حصل الضرب
+
+385
+00:40:59,240 --> 00:41:02,720
+طيب كويس هذا معناه ايش؟
+
+386
+00:41:14,770 --> 00:41:23,290
+يبقى الـ logarithm
+
+387
+00:41:23,290 --> 00:41:34,910
+الطبيعي نمر الـ Cار تساوي أربعة تان ثيتا سيك ثيتا
+
+388
+00:41:37,430 --> 00:41:41,870
+من حد ما تشوف معادلة هيك يبقى و بدك تعملها ساين و
+
+389
+00:41:41,870 --> 00:41:48,330
+كوساين يبقى هاي أربع ساين ثيتا على كوساين ثيتا و
+
+390
+00:41:48,330 --> 00:41:54,590
+السيك هي واحد على كوساين لو ضربنا الطرفين في
+
+391
+00:41:54,590 --> 00:42:00,070
+كوساين تربيع بصير R كوساين تربيع ثيتا بده يساوي
+
+392
+00:42:00,070 --> 00:42:06,490
+أربع ساين ثيتا كيف بده أحول الـ Cartesian هذه؟
+
+393
+00:42:07,940 --> 00:42:14,240
+يلا استخدم صلاحيتك يلا ايو
+
+394
+00:42:14,240 --> 00:42:23,240
+يحكوا بدي واحد يحكي هيك R
+
+395
+00:42:23,240 --> 00:42:29,760
+تربيع تربيع ثيتا يساوي أربعة R في ساين الزاوية ثيتا
+
+396
+00:42:29,760 --> 00:42:35,890
+يعني ايش هامل لاضربنا الطرفين في R فقط لا غير يبقى
+
+397
+00:42:35,890 --> 00:42:41,690
+هذه كلها ضربناها في مين؟ في R R تربيع كوساين تربيع هي
+
+398
+00:42:41,690 --> 00:42:51,390
+مين؟ إكس تربيع يساوي 4Y يعني Y يساوي رابع إكس تربيع
+
+399
+00:42:53,660 --> 00:43:06,280
+برابولة يبقى هذه برابولة with vertex at the origin
+
+400
+00:43:06,280 --> 00:43:17,920
+and open when؟ up or down؟ up لأن المعادلة موجبة
+
+401
+00:43:17,920 --> 00:43:28,690
+يبقى نمرة دينمر دي بيقول لي R تربيع يساوي ناقص ستة R
+
+402
+00:43:28,690 --> 00:43:34,170
+في ساين الزاوية ثيتا، بدنا نعرف مو عادلتش،
+
+403
+00:43:34,170 --> 00:43:40,790
+solution، مين الـ R تربيع هادي؟ الـ R تربيع قداش
+
+404
+00:43:40,790 --> 00:43:48,140
+يساوي لعدتان كارتيزيا إكس تربيع زائد واي تربيع ناقص 6
+
+405
+00:43:48,140 --> 00:43:54,560
+و R ساين θ طيب نعملها معادلة صفرية يبقى إكس تربيع
+
+406
+00:43:54,560 --> 00:44:01,780
+زائد واي تربيع زائد 6Y يساوي 0 معادلة ايش الشهد؟
+
+407
+00:44:01,780 --> 00:44:07,680
+الله أعلمها ده صح بس بدها شوية شغل هيك يبقى هاد
+
+408
+00:44:07,680 --> 00:44:13,300
+نكمل لها المربع يبقى إكس تربيع زائد واي تربيع زائد ستة
+
+409
+00:44:13,300 --> 00:44:20,760
+واي زائد تسعة يساوي مين تسعة يعني معناه ان إكس تربيع
+
+410
+00:44:20,760 --> 00:44:29,480
+زائد واي زائد ثلاثة الكل تربيع يساوي تسعة
+
+411
+00:44:42,990 --> 00:44:55,870
+طيب equation of a circle with center at قداش
+
+412
+00:44:55,870 --> 00:45:05,190
+صفر و سالب ثلاثة and radius اللي هو ثلاثة
+
+413
+00:45:08,200 --> 00:45:17,680
+نمر ايه R تربيع ساين اثنين ثيتا بده يساوي اثنين أظن
+
+414
+00:45:17,680 --> 00:45:21,280
+أول مرة بنشوف ساين اثنين ثيتا ما فيش علنا في
+
+415
+00:45:21,280 --> 00:45:25,060
+التحويلات ساين اثنين ثيتا لكن الساين اثنين ثيتا بقدر
+
+416
+00:45:25,060 --> 00:45:31,540
+أكثر بدلالات الساين والكوساين يبقى هذه R تربيع في
+
+417
+00:45:31,540 --> 00:45:38,180
+اثنين ساين ثيتا كوساين ثيتا يساوي قداش اثنين و لو
+
+418
+00:45:38,180 --> 00:45:44,400
+قسمنا على الاثنين ايش بيصير عندنا؟ R تربيع في ساين
+
+419
+00:45:44,400 --> 00:45:50,160
+ثيتا كوساين ثيتا بده يساوي كده ايش؟ بده يساوي واحد
+
+420
+00:45:50,160 --> 00:45:58,400
+وهذه ممكن أوزعها كالتالي R في ساين ثيتا R في كوساين θ
+
+421
+00:45:58,400 --> 00:46:04,440
+يساوي واحد يبقى هذه واي في إكس يساوي واحد أو إكس في واي يساوي
+
+422
+00:46:04,440 --> 00:46:07,580
+قداش واحد يالله من الشاطر فيكوا اللي عرفها ليه
+
+423
+00:46:07,580 --> 00:46:13,900
+معادلتها اللي بيعرفها هي هي بس هي أشهر هي هي هي هي
+
+424
+00:46:13,900 --> 00:46:14,820
+هي هي هي هي هي هي هي هي هي هي هي هي
+
+425
+00:46:14,820 --> 00:46:22,560
+هي هي هي هي هي هي هي هي
+
+426
+00:46:22,560 --> 00:46:31,470
+ويبقى هذه هي Parabola قطعة زائدة بس معمولة دوران
+
+427
+00:46:31,470 --> 00:46:37,830
+انهمين بالشكل اللي عندك هذا جاي هيك و بالشكل هذا
+
+428
+00:46:37,830 --> 00:46:44,550
+هيك و هذا المحور هذا إكس و هذا واي و هذا واي يساوي واحد
+
+429
+00:46:44,550 --> 00:46:50,510
+على الـ إكس معمولة دوران بزاوية خمسة وأربعين درجة نمر
+
+430
+00:46:50,510 --> 00:46:59,250
+اف اللي هو آخر سؤال بيقول لي R في ساين ثيتا زائد باي
+
+431
+00:46:59,250 --> 00:47:04,630
+على ستة يساوي اثنين شفت يا حد بعقلي معادلة ايش
+
+432
+00:47:04,630 --> 00:47:10,670
+هذه؟ يلا بينا يعرفوا عن الجبل من أبدا بعوض الله
+
+433
+00:47:10,670 --> 00:47:16,650
+خلي
+
+434
+00:47:16,650 --> 00:47:20,430
+أبالك هنا وبعدين أنت وياك كل كلامك وغلط ولا
+
+435
+00:47:20,430 --> 00:47:26,590
+واحد أصاب الحقيقة من الحولة هذه ساين مجموع زاويتين
+
+436
+00:47:26,590 --> 00:47:33,790
+يبقى ساين ثيتا كوساين باي على ستة زائد كوساين ثيتا
+
+437
+00:47:33,790 --> 00:47:42,890
+ساين باي على ستة كله بيساوي قداش اثنين الآن هذه R في
+
+438
+00:47:42,890 --> 00:47:49,480
+ساين الزاوية ثيتا جتا ثلاثين اللي هي بجذر ثلاثة على
+
+439
+00:47:49,480 --> 00:47:55,380
+الاثنين زائد كوساين ثيتا في جتا ثلاثين اللي هو بنصف
+
+440
+00:47:55,380 --> 00:48:03,400
+كله بده يساوي قداش YR R بشكل أناني طب بدي أضرب في
+
+441
+00:48:03,400 --> 00:48:08,200
+اثنين وأشيل R ساينتيها وأحط مكانها واي وأشيل R
+
+442
+00:48:08,200 --> 00:48:14,680
+كوساينتيها وأحط مكانهاش إكس يبقى هذه بيصير جذر ثلاثة
+
+443
+00:48:14,680 --> 00:48:25,260
+واي وهنا زائد إكس بده يساوي قداش أربعة مرة ثانية R ساين θ واي
+
+444
+00:48:25,260 --> 00:48:30,500
+جذر ثلاثة ده ضربت في اثنين وهذه ضربت كمان في اثنين
+
+445
+00:48:30,500 --> 00:48:35,740
+وصارت هذه أربعة وظل هنا بس R كوساين θ إكس معادلة ايش هذه؟
+
+446
+00:48:35,740 --> 00:48:41,680
+برابولة برضه؟ ما عوّض الله ولكن توي إكس واي كل واحد
+
+447
+00:48:41,680 --> 00:48:46,160
+اللي استضاها راحت صحيح خط مستقيم
+
+448
+00:48:50,660 --> 00:48:59,880
+يبقى هذه equation of a line خط مستقيم اجرأ أنت و
+
+449
+00:48:59,880 --> 00:49:10,160
+اياك work hard و إلا وما أدراك ما بعدها طيب
+
+450
+00:49:10,160 --> 00:49:11,120
+أعطيكوا العافية 
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/wJct_hPexVc_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/wJct_hPexVc_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e8ad01b79117877369b6bab2cc76495b6d476666
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/wJct_hPexVc_postprocess.srt
@@ -0,0 +1,1776 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:11,670 --> 00:00:17,910
+نبدأ الآن محاضرتنا وهي استكمال لما بدأنا فيه في
+
+3
+00:00:17,910 --> 00:00:21,590
+المرة الماضية من الsection سبعة تلاتة وهو ال
+
+4
+00:00:21,590 --> 00:00:25,750
+exponential function المرة الماضية أخدنا الحلقة
+
+5
+00:00:25,750 --> 00:00:29,530
+الخاصة من ال exponential functions اللي سمنها ال
+
+6
+00:00:29,530 --> 00:00:33,890
+natural exponential functions e to the power x
+
+7
+00:00:34,350 --> 00:00:39,230
+واخدنا على هذه عدة خواص وكانت الخاصية الأخيرة هي
+
+8
+00:00:39,230 --> 00:00:44,450
+ان العدد A اللي هو بده يساوي لل inverse 1 اللي هو
+
+9
+00:00:44,450 --> 00:00:51,190
+بده يساوي 2 هو 7 من 10 تقريبا بنقدر نحسبه على صورة
+
+10
+00:00:51,190 --> 00:00:58,300
+limit limit لما ال H بده تروح ل 0 للمقدار 1زائد X
+
+11
+00:00:58,300 --> 00:01:04,500
+الكل أس واحد على X أو limit لما ال Y بدأ تروح لما
+
+12
+00:01:04,500 --> 00:01:10,460
+لا نهاية لواحد زائد واحد على Y كله أس ويتنون هدول
+
+13
+00:01:10,460 --> 00:01:14,440
+are equivalent وهذا آخر ما كتبناه في المحاضرة
+
+14
+00:01:14,440 --> 00:01:19,350
+الماضيةهذه الـ exponential function يجب أن نعمّمها
+
+15
+00:01:19,350 --> 00:01:26,250
+لعدد أتنين و سبعة من عشرة تقريبا لكن الأن ناخدها
+
+16
+00:01:26,250 --> 00:01:32,090
+for any real number a بحيث الـ a greater than zero
+
+17
+00:01:32,090 --> 00:01:38,330
+لازم يكون عدد موجببنقول هنا the general
+
+18
+00:01:38,330 --> 00:01:42,970
+exponential function اللي هنضيها الرمز a to the
+
+19
+00:01:42,970 --> 00:01:49,470
+power x بدل الرمز e to the power x.بنقضيها التعريف
+
+20
+00:01:49,470 --> 00:01:53,950
+التالي لو for any real number x greater than zero
+
+21
+00:01:53,950 --> 00:01:59,030
+and الاكس الاكس محطتش عليها قيد اي موجب الاكس ممكن
+
+22
+00:01:59,030 --> 00:02:04,020
+تكون موجبة سالبة صفر كسر ماعنديش مشكلةيبقى الـ
+
+23
+00:02:04,020 --> 00:02:08,760
+exponential function with base a اللي الأساس تبعها
+
+24
+00:02:08,760 --> 00:02:16,540
+a is defined as الـ a⁻x يبقى هي e أُس x مضروبة في
+
+25
+00:02:16,540 --> 00:02:21,620
+لِم الـ a طبعا سيقول البعض منكوا من أين أنا كهذا
+
+26
+00:02:21,620 --> 00:02:24,360
+يعني كيف هذا يا جازبين، بقولك الوصفة بسيطة جدا
+
+27
+00:02:25,160 --> 00:02:31,040
+الغطي العدد A هذي X في لن الـ A، مظبوط؟ ويعني من
+
+28
+00:02:31,040 --> 00:02:35,940
+خواص اللي بقدر اكتبه لن ال A to the power X،
+
+29
+00:02:35,940 --> 00:02:41,300
+مظبوط؟ يبقى صار هذا لن ال A to the power X، A أُس
+
+30
+00:02:41,300 --> 00:02:46,320
+لن ال Xالمرة اللي بدأت بتبنيها هي X صح هو اللي ايه
+
+31
+00:02:46,320 --> 00:02:50,200
+و اللي لم دوال كل واحدة مع كسلة تانية يبجي اعطيناك
+
+32
+00:02:50,200 --> 00:02:55,220
+خاصية E وبروزناها في مستطيل وقولنا لك دير بولك
+
+33
+00:02:55,220 --> 00:02:58,860
+هتمر معاه كده بدل المرة مائة مرة الا مائة كتر اكتر
+
+34
+00:02:58,860 --> 00:03:04,420
+خلال دراستك لCalculus B يبجي E أسلم ال X بدي أسوي
+
+35
+00:03:04,420 --> 00:03:11,230
+قداش Xهنا بيصير E أسلن A to the power X ليه بيقدش؟
+
+36
+00:03:11,230 --> 00:03:12,450
+A to the power X
+
+37
+00:03:16,910 --> 00:03:23,030
+طيب في تعريف مناظر مماثل تماما بيقول لأي x أكبر من
+
+38
+00:03:23,030 --> 00:03:31,550
+ال zero لأي عدد حقيقي n ال x to the power n هي e
+
+39
+00:03:31,550 --> 00:03:36,890
+أس n في نهر ال x إذا كان شيلنا ال x و حطيناه تماما
+
+40
+00:03:37,030 --> 00:03:43,430
+مكمل يعني كأنه احنا أخدنا حالقة خاصة من هذه هنا أي
+
+41
+00:03:43,430 --> 00:03:49,350
+عدد حقيقي هنا جملة X ما لهاش شروط تمام؟ وهنا ال M
+
+42
+00:03:49,350 --> 00:03:54,170
+جملة ال X بس أكبر من مين Zero اللي هو الأساس يبجى
+
+43
+00:03:54,170 --> 00:03:59,150
+X to the power M يبجى هي E أُس M فلن X السؤال كمان
+
+44
+00:03:59,150 --> 00:04:04,970
+مرة لماذا؟ والإجابة هي نفس الإجابة يبجى هدفها E
+
+45
+00:04:04,970 --> 00:04:06,630
+أُس لن X
+
+46
+00:04:14,360 --> 00:04:19,000
+كما تعودنا في سيكشن سبعة واحد الفنكسون الانفرس
+
+47
+00:04:19,000 --> 00:04:23,520
+الفنكسون درسنا خواصة وبعدك سبعة اتنين لان ال X
+
+48
+00:04:23,520 --> 00:04:28,080
+درسنا خواصة و ال E و ال 6 درسنا خواصة يبقى ال A to
+
+49
+00:04:28,080 --> 00:04:31,280
+the power X كمان بدنا ندرس خواصة
+
+50
+00:04:34,220 --> 00:04:40,120
+تماما مثل خواص ال E to the power X مع فوارق بسيطة
+
+51
+00:04:40,120 --> 00:04:46,580
+سنشير اليها لان ليش؟ لأن هذا A أكبر من ال zero بس
+
+52
+00:04:46,580 --> 00:04:51,640
+E to the power X رقم واحد إذا ما ينطبق هذا ينطبق
+
+53
+00:04:51,640 --> 00:04:57,320
+عالميا على ال E to the power X وكأن ال functionE
+
+54
+00:04:57,320 --> 00:05:03,040
+to the power of X هي special case حالة خاصة من الـ
+
+55
+00:05:03,040 --> 00:05:08,720
+A to the power of X.وهذا كلاني؟ طيب إذا بدنا نيجي
+
+56
+00:05:08,720 --> 00:05:12,200
+لل domain و ال range.ال domain و ال range تبع ال E
+
+57
+00:05:12,200 --> 00:05:18,120
+أس X بالضبط تماما مافيش فيها أي تغيير.ليش؟ لأن هذه
+
+58
+00:05:18,120 --> 00:05:22,600
+الدالة حالة خاصة من الدالة دي، أخدناها عند رقم
+
+59
+00:05:22,600 --> 00:05:30,480
+محدد، إذا لو بدأت أخد ال domain بتبع ال a to the
+
+60
+00:05:30,480 --> 00:05:37,480
+power xهذا الكلام لم يجد حسابه. لم يجد حساب الـ E
+
+61
+00:05:37,480 --> 00:05:42,620
+أس X المرة الماضية. من سلب Infinity يبقى هو نفسه
+
+62
+00:05:42,620 --> 00:05:48,660
+لمن لبن لهذه. يبقى من سلب Infinity لإنفينيتي. مدام
+
+63
+00:05:48,660 --> 00:05:53,480
+الـ A موجة، بحط الأس زي ما بدك. إذن هذا عدد معرف.
+
+64
+00:05:53,900 --> 00:06:00,310
+إذن الـ domain من سلب Infinity إلى Infinity.الرانج
+
+65
+00:06:00,310 --> 00:06:05,570
+لدالة a to the power x لما رسمنا المرة اللي فات a
+
+66
+00:06:05,570 --> 00:06:10,270
+وال6 كانت كلها منها أعلى ال x axis يبقى ال a وال6
+
+67
+00:06:10,270 --> 00:06:15,330
+كذلك أعلى ال x axis يبقى من عند ال zero لغاية
+
+68
+00:06:15,330 --> 00:06:21,470
+infinity as an open intervalيبقى هذه الخاصية
+
+69
+00:06:21,470 --> 00:06:26,310
+الأولى من خواصة A تغطار X زي ما أخدناها نت تماما
+
+70
+00:06:26,310 --> 00:06:33,610
+طيب نيجي هذه ده ميوسية يعني تخضع لقوانين الاسوس
+
+71
+00:06:33,610 --> 00:06:39,570
+لما نيجي نقول ال X هذه لو كانت موجبة وطبعا ال A
+
+72
+00:06:39,570 --> 00:06:45,180
+موجبة إجباري يبقى كل هذا الرقم بيكون موجبتنين لو
+
+73
+00:06:45,180 --> 00:06:51,180
+كانت ال X سالبة يعني S ناقص X بنزله يوم واحد علي S
+
+74
+00:06:51,180 --> 00:06:56,860
+X بيصير كلها موجبة. طب لو كانت ال X بيه Zero يبقى
+
+75
+00:06:56,860 --> 00:07:00,760
+S Zero بواحد برضه موجب. إذن ال eight of our X
+
+76
+00:07:00,760 --> 00:07:06,190
+greater than zero for all Xاللي موجودة في دمانها.
+
+77
+00:07:06,610 --> 00:07:11,610
+يبقى دمان عليها بقول له E أس X greater than zero
+
+78
+00:07:11,610 --> 00:07:20,110
+for all X. E أس X نعم. E أس X greater than zero
+
+79
+00:07:20,110 --> 00:07:24,310
+for all X. واحد يقول له منين هذه تحصيل حصل؟ بقوله
+
+80
+00:07:24,310 --> 00:07:29,130
+والله كلامك صحيح، بس يمكن تستشكل عليك. هذه هيها،
+
+81
+00:07:29,130 --> 00:07:32,730
+مش هذه ال range تبع الدقالة؟ صح ولا لا؟ منين اللي
+
+82
+00:07:32,730 --> 00:07:38,320
+وين؟يعني أكبر من الـ Zero يبقى هذا قاعد كأن صياغته
+
+83
+00:07:38,320 --> 00:07:42,600
+هنا بشكل آخر إن ال A to the power X دائما و أبدا
+
+84
+00:07:42,600 --> 00:07:47,860
+أكبر من ال Zero ومايمكن أن تساوي قيمة سالبة على
+
+85
+00:07:47,860 --> 00:07:54,630
+الأطلاقهذه تخضع لقوانين الأساس النقطة التالتة لو
+
+86
+00:07:54,630 --> 00:07:59,410
+جيت قلتلك a to the power x1 مضروبة في a to the
+
+87
+00:07:59,410 --> 00:08:06,150
+power x2 إذا تساوت الأساسات عند ضرب تجمع الأساس
+
+88
+00:08:06,150 --> 00:08:15,650
+يبقى x1 زائد x2 النقطة الثانيةA أُس X1 على A أُس
+
+89
+00:08:15,650 --> 00:08:28,350
+X2 يبقى A أُس X1 minus X2 النقطة التالتة ال A أُس
+
+90
+00:08:28,350 --> 00:08:36,560
+ناقص X يساوي واحد على A أُس X النقطة الرابعةيبقى a
+
+91
+00:08:36,560 --> 00:08:41,960
+to the power of x1 to the power of x2 يبقى a plus
+
+92
+00:08:41,960 --> 00:08:47,700
+x1 مضروبة في x2 يا نفس قوانين الأساس اللي
+
+93
+00:08:47,700 --> 00:08:54,200
+اتعلمناها قبل ذلك مافيش فيها أي جديد طيب بنروح
+
+94
+00:08:54,200 --> 00:08:59,840
+نشتق هذه الدالة ونشوف ما هو شكل المشتقة يبقى
+
+95
+00:08:59,840 --> 00:09:02,660
+بنعتبر هذه الخاصية رقم 4
+
+96
+00:09:13,110 --> 00:09:22,020
+بس مضروبة في من؟ في لن ال Aطبعا لا على الغرض
+
+97
+00:09:22,020 --> 00:09:26,920
+يستشكل من هذه الإجابة يقول إذا بتختلف عن مين؟ عن
+
+98
+00:09:26,920 --> 00:09:32,120
+ال A6 ال A6 المرأة يقول إن مشتقتها هي نفسها بالضبط
+
+99
+00:09:32,120 --> 00:09:37,840
+تماما. إحنا بنقول هذه حالة خاصة من هذه. لو بدنا
+
+100
+00:09:37,840 --> 00:09:44,970
+نجيب مشتقة ال A6 بهذه الطريقة، بنقول لك أه.يبقى E
+
+101
+00:09:44,970 --> 00:09:50,730
+أس X في لن ال E لأن ال E بجده يبقى E أس X فيها.
+
+102
+00:09:50,990 --> 00:09:54,890
+مظبوط؟ هذا يتفق مع الكلام الإغلاق اللي قال إن ال E
+
+103
+00:09:54,890 --> 00:10:00,110
+أس X حالة خاصة منين؟ من ال A تجارة power X بضيف
+
+104
+00:10:00,110 --> 00:10:06,090
+عليها و بقول لو كانت ال U is a differentiable
+
+105
+00:10:06,090 --> 00:10:19,150
+function of Xوإذا الـ y' هو أفرينشابل
+
+106
+00:10:19,150 --> 00:10:21,110
+فانكشن x
+
+107
+00:10:41,620 --> 00:10:48,500
+مثال أخر، لو قلنا Y يساوي تلاتة أُصين X، يبقى
+
+108
+00:10:48,500 --> 00:10:57,180
+مشتقتها Y يساوي تلاتة أُصين X فمن التلاتة في مشتقة
+
+109
+00:10:57,180 --> 00:11:03,400
+الـSin اللي يبقى Sin X، يبقى هذه مشتقة الدلة A to
+
+110
+00:11:03,400 --> 00:11:10,730
+the power Xنجي لتكامل هذه الدالة هذه أربعة، خمسة،
+
+111
+00:11:10,730 --> 00:11:16,830
+بدنا تكامل A to the power X DX يبقى ال A to the
+
+112
+00:11:16,830 --> 00:11:23,590
+power X كما هي نقصوم على لن ال A زائد constant C
+
+113
+00:11:23,590 --> 00:11:30,690
+طبعا ممكن أجيب هذه من وين؟ من الدم المهمة هذه
+
+114
+00:11:30,690 --> 00:11:36,830
+تماماكامل الطرفين وبالتالي بنوصل لمين؟ بنوصل
+
+115
+00:11:36,830 --> 00:11:40,470
+لمسألتنا هذه. طبعاً لمن A بقسم عليها بيصير في
+
+116
+00:11:40,470 --> 00:11:45,970
+المقام يبقى صار عنده هذا الشكل. اذا من الآن فصاعدا
+
+117
+00:11:45,970 --> 00:11:49,930
+مشتقة ال A to the power X هي A to the power X
+
+118
+00:11:49,930 --> 00:11:54,830
+مضروبة في لمن Aوتكامل هذه بجهية نفسها بس مقصومة
+
+119
+00:11:54,830 --> 00:12:00,650
+على من الـA بنظيف الوضع الطبيعي وهو الكنسان لمين
+
+120
+00:12:00,650 --> 00:12:05,970
+للاندفنايت انتجراليز يرجى هذه الخواصة الأساسية
+
+121
+00:12:05,970 --> 00:12:12,190
+لمين لهذه الدالة بقية الرسمة تبعتها لو حبنا نرسم
+
+122
+00:12:12,190 --> 00:12:18,910
+رسمة هذه الدالة يرجى هنا باجي بقول the giraffe
+
+123
+00:12:21,490 --> 00:12:29,070
+why to say a to the power x as shown كما هو مبين،
+
+124
+00:12:29,070 --> 00:12:36,980
+هي الرسم اللي عندنايبقى هذا محور X وهذا محور Y
+
+125
+00:12:36,980 --> 00:12:42,140
+وهذا نقطة الأصل اللي هي Zero عارفين احنا المرة
+
+126
+00:12:42,140 --> 00:12:47,580
+الماضية رسمت E أس X مظبوط وهي حالة خاصة من E أس X
+
+127
+00:12:47,580 --> 00:12:54,280
+هي رسمتين شكل بعض تماما يبقى لو جيت رسمت رسمة E أس
+
+128
+00:12:54,280 --> 00:13:00,580
+Xبصير اللي عندنا بالشكل هذه يبقى هذه Y مثلا تساوي
+
+129
+00:13:00,580 --> 00:13:07,080
+اتنين أُس X على سبيل المثال طب لو كانت تلاتة أُس X
+
+130
+00:13:07,080 --> 00:13:12,920
+أو أربعة أُس X بدأتيجي هنا بالضبط هذه
+
+131
+00:13:18,590 --> 00:13:22,390
+عند الواحد مثلا تبقى اتنين و اصلا واحد اللي هو
+
+132
+00:13:22,390 --> 00:13:26,090
+اتنين. لكن لما اقول تلاتة والست، عند الواحد تبقى
+
+133
+00:13:26,090 --> 00:13:31,070
+اتناش، تلاتة يبقى منها و فوق. لكن هنا بتيجي من
+
+134
+00:13:31,070 --> 00:13:38,710
+منها و تحت. يبقى هتيجي الرسم بهذا الشكل.نفس النقطة
+
+135
+00:13:38,710 --> 00:13:43,690
+هتمر بنفس النقطة هادئة وبتجيه لك ايه؟ يبقى الخضرة
+
+136
+00:13:43,690 --> 00:13:52,870
+هادي Y تساوي تلاتة أس X بهذا الشكل طب خليني أسر
+
+137
+00:13:52,870 --> 00:13:58,730
+السؤال تاني، لو قلتلك A أس لاقص واحد
+
+138
+00:14:06,440 --> 00:14:10,360
+عارف؟ طب لو قلت لك واحد أس اكس
+
+139
+00:14:12,880 --> 00:14:15,560
+بعدين الواحد بيبقى من هنا إلى هنا، إذن هو straight
+
+140
+00:14:15,560 --> 00:14:22,240
+line خط مستقيم موازن لمين؟ لمحور X يبقى الخط اللي
+
+141
+00:14:22,240 --> 00:14:28,840
+عندك كذا أي حرص ممنقط هيك هذا واحد أس X ويبقى
+
+142
+00:14:28,840 --> 00:14:35,080
+مستمر بهذا الشكل إذا لو بدأ الواحد يسجل، فنص أس X
+
+143
+00:14:37,130 --> 00:14:43,490
+نص اس إكس يعني اتنين أس سالب إكس يبقى نص يزل تحت
+
+144
+00:14:43,490 --> 00:14:47,730
+ويطلع لفوق يبقى حيجي الخط من وين من الناحية
+
+145
+00:14:47,730 --> 00:14:52,770
+التانية بهذا الشكل يبقى
+
+146
+00:14:52,770 --> 00:14:58,630
+هذا اللي هو اتنين أس سالب إكس وهكذا يبقى في حالة
+
+147
+00:14:58,630 --> 00:15:01,930
+لو كذا لو أس سالب تجي راس من وين من الناحية
+
+148
+00:15:01,930 --> 00:15:08,640
+التانية وتبدأ تنزليبقى زي ما انت شايف اتنين اص اكس
+
+149
+00:15:08,640 --> 00:15:13,000
+ولا تلاتة اص اكس ولا مية اص اكس increasing ولا
+
+150
+00:15:13,000 --> 00:15:18,600
+decreasing من الرسم increasing لكن ا ا ا ا ا ا ا ا
+
+151
+00:15:18,600 --> 00:15:19,400
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+152
+00:15:19,400 --> 00:15:20,340
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+153
+00:15:20,340 --> 00:15:21,320
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+154
+00:15:21,320 --> 00:15:22,720
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+155
+00:15:22,720 --> 00:15:24,240
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+156
+00:15:24,240 --> 00:15:32,620
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+157
+00:15:32,620 --> 00:15:35,910
+ا ا ا ا الما الـ X بدها تروح للمالة نهائية، لما
+
+158
+00:15:35,910 --> 00:15:42,290
+الـ A و الـ 6؟ للمالة نهائية. ولو نزلت جداش بالله
+
+159
+00:15:42,290 --> 00:15:47,530
+limit A و الـ 6 لما الـ X بدها تروح لسلب Infinity،
+
+160
+00:15:47,530 --> 00:15:54,330
+Zero. السؤال هو هل اختلفت هاتان النتيجتان عن الـ A
+
+161
+00:15:54,330 --> 00:15:59,370
+و الـ 6؟ نفس النتيجة بالضبط تماما، إذا لا يوجد أي
+
+162
+00:15:59,370 --> 00:16:07,150
+فارق بينهما.stop و بدنا نواصل طب علشان stop خلينا
+
+163
+00:16:07,150 --> 00:16:11,510
+نراجع حاجة بسيطة من اللي فات و نخش عليها لجديد
+
+164
+00:16:11,510 --> 00:16:15,690
+لازلنا في نفس ال section المرة اللي فاتت بدأنا بال
+
+165
+00:16:15,690 --> 00:16:25,410
+E أُس X و عرفناها هي معكوس الدالة لن ال X مصبور؟ و
+
+166
+00:16:25,410 --> 00:16:31,570
+جلنا E أُس X هي لن inverse X صحيح ولا لا؟أجتهم من
+
+167
+00:16:31,570 --> 00:16:41,760
+دم جديدة اسمها ASX مابمين معكوسةالـ E والـ X هو
+
+168
+00:16:41,760 --> 00:16:44,960
+الـ Natural Exponential Function مع كثة الـ
+
+169
+00:16:44,960 --> 00:16:48,380
+Natural Logarithmic Function اللي هو لنا الـ X،
+
+170
+00:16:48,380 --> 00:16:54,040
+مصدوم؟ طيب، أن الـ A تبقى قوة X هي مع كثة اللغارتم
+
+171
+00:16:54,040 --> 00:16:58,320
+العادى، مش اللغارتم اللي هو الخاص لنا الآن، يبقى
+
+172
+00:16:58,320 --> 00:17:03,900
+هو اللغارتم الـ X للأساس A. الأن نكتب التعريف هنا
+
+173
+00:17:03,900 --> 00:17:12,490
+ونشوف إيش بدنا نستفيد منه.يبقى definition for any
+
+174
+00:17:12,490 --> 00:17:22,250
+positive real number for any positive real number
+
+175
+00:17:22,250 --> 00:17:25,530
+a
+
+176
+00:17:25,530 --> 00:17:33,550
+does not equal to n the function اللي هو لغة رتم
+
+177
+00:17:33,550 --> 00:17:36,470
+ال X للأساس a
+
+178
+00:17:54,670 --> 00:18:00,770
+إن الـ f of x يسوي a to the power x
+
+179
+00:18:07,150 --> 00:18:11,970
+بدي أسوي لغرتم ال X للأساس A
+
+180
+00:18:42,890 --> 00:18:48,970
+يبقى بإن نجي كأنه بدنا نعمل اللي هو الدالة Y تساوي
+
+181
+00:18:48,970 --> 00:18:54,450
+لن ال X اللي أعاملها هي لغرتم ال X للأساس ايه؟
+
+182
+00:18:54,450 --> 00:18:58,670
+يعني لغرتم ال X للأساس هو لأن ال X بيجربوا لبعض
+
+183
+00:18:59,250 --> 00:19:05,210
+يجربون بعض وعصبيت بعض كمان كما سترى بعد قليل يعني
+
+184
+00:19:05,210 --> 00:19:09,430
+بعد قليل هقولك ماهو الولقة ما بين لمن ال X وما بين
+
+185
+00:19:09,430 --> 00:19:14,330
+اللي نجركه ال X للأساس A بيقول for any positive
+
+186
+00:19:14,330 --> 00:19:19,020
+real number A does not equal to oneطيب، لماذا لا
+
+187
+00:19:19,020 --> 00:19:23,860
+يقل تون؟ قبل قليل قلنا ايه أكبر من نزيل وسكتنا.
+
+188
+00:19:24,420 --> 00:19:28,200
+إذا في حالة اللغة لم تشترق مبادرة تستبدل وقعد،
+
+189
+00:19:28,200 --> 00:19:33,440
+لماذا؟ هذا ما سنجيب عليه بعد قليل. صبرك علينا
+
+190
+00:19:33,440 --> 00:19:40,310
+شوية.الـ function لغريتم X للأساس A هي عبارة عن
+
+191
+00:19:40,310 --> 00:19:46,730
+معكوس يتدالى A to the power X ذاته بمناقش سياباتها
+
+192
+00:19:46,730 --> 00:19:52,250
+رياضيا فبقول لو كان F of X يساوي A to the power X
+
+193
+00:19:52,450 --> 00:19:58,570
+يبقى ال F inverse X هي عبارة عن لغارتم ال X للأساس
+
+194
+00:19:58,570 --> 00:20:05,570
+A.بنروح نشوف برضه خواص هذه الدالة يبقى بالدالة
+
+195
+00:20:05,570 --> 00:20:15,150
+لليه ال properties of Y تساوي لغارتم ال X للأساس A
+
+196
+00:20:17,180 --> 00:20:25,700
+هو بداية الأول خاصية لهذه الدالة.شوفوا سيدي في
+
+197
+00:20:25,700 --> 00:20:32,860
+قاعدتين مناظرة للقاعدتين تماما اللي في حالة مانالـ
+
+198
+00:20:32,860 --> 00:20:36,400
+E to the power X القاعة اللي قلتلك برهزهم في
+
+199
+00:20:36,400 --> 00:20:41,800
+مستطيل الـ E to the power لن الـ X هي عبارة عن X
+
+200
+00:20:41,800 --> 00:20:47,260
+بشرط X greater than zero وتنوي لن الـ E أس X بدي
+
+201
+00:20:47,260 --> 00:20:52,540
+أساوي X for all X، مظبوط؟ في هنا كمان تنتين
+
+202
+00:20:52,540 --> 00:20:57,850
+مناظرتين لهمبعد ما اشيل ال ESX و احط مكانها power
+
+203
+00:20:57,850 --> 00:21:03,330
+X و اشيل ال LN و احط مكانها ال LOD لكن انا مابديش
+
+204
+00:21:03,330 --> 00:21:08,470
+اخليك حيران حتى تجيهم لك استنتاج اما انا اجي اقول
+
+205
+00:21:08,470 --> 00:21:14,490
+يا شباب احنا عندنا F inverse composition F as a
+
+206
+00:21:14,490 --> 00:21:20,440
+function of X قداش هذا بدي ساويمش بده يساوي ال X؟
+
+207
+00:21:20,440 --> 00:21:23,360
+ال composition بين الدلة و معكوسة بيعطينا ال
+
+208
+00:21:23,360 --> 00:21:29,000
+element واحدة تلغي التانية يعني معنى هذا الكلام ان
+
+209
+00:21:29,000 --> 00:21:36,820
+ال F inverse لل F of X بده يساوي ال Xتعريف ال
+
+210
+00:21:36,820 --> 00:21:41,840
+composition تعريف من كالكلصات نجي هنا هذا بده
+
+211
+00:21:41,840 --> 00:21:47,600
+يعطينا ان f inversely ال F of X هي عبارة عن ما؟ هي
+
+212
+00:21:47,600 --> 00:21:53,600
+to the power X يبقى ايه؟ to the power X كل هذا بده
+
+213
+00:21:53,600 --> 00:22:01,290
+يساوي كده؟ يساوي ال X هذا بده يعطينا ايه؟ نرجعالـ
+
+214
+00:22:01,290 --> 00:22:05,930
+F inverse لما اتأثر على الـ element X هو عبارة عن
+
+215
+00:22:05,930 --> 00:22:11,530
+لجّ الـ X للأساس A يبجي الـ F inverse لهذا الـ
+
+216
+00:22:11,530 --> 00:22:16,870
+element لجّ هذا الـ element للأساس A يبجي هذا
+
+217
+00:22:16,870 --> 00:22:24,980
+يطيني لجّ للأساس A للـ element A to the power Xكم
+
+218
+00:22:24,980 --> 00:22:30,760
+هذا الكلام سيعطينا؟ سيعطينا X. إذا من الآن، فصحيح
+
+219
+00:22:30,760 --> 00:22:36,560
+إذا. Log A to the power X للأساس A بدي يسوي X. كنا
+
+220
+00:22:36,560 --> 00:22:42,080
+هناك نقول إيش؟ لأن ال E وال6 بدي يسوي X. صح ولا
+
+221
+00:22:42,080 --> 00:22:48,120
+لا؟ طيب السؤال هو هذه على فترة محددة ولا for all
+
+222
+00:22:48,120 --> 00:22:55,960
+X؟For all x يبقى هذا الكلام صحيح. For all x يبقى
+
+223
+00:22:55,960 --> 00:23:01,140
+هذه المعلومة الأولى المناظرة لمعلومة الان. طب شو
+
+224
+00:23:01,140 --> 00:23:05,120
+رأيك؟ هذه بستفيد منها كمان شغلة. قبل ما أروح
+
+225
+00:23:05,120 --> 00:23:10,220
+للشغلة التانية. هذه بستفيد منها إيه؟ هذا ال x بقدر
+
+226
+00:23:10,220 --> 00:23:13,660
+أخده برا اللجة. مظبوط ولا لأ؟ خاص اللي وردناها.
+
+227
+00:23:14,080 --> 00:23:20,770
+يبقى هذه بقدر أقول xفي logarithm a للأساس a يجب أن
+
+228
+00:23:20,770 --> 00:23:25,530
+يكون ساوي x طبعا هذه خاصية خدتها في الثانوية والآن
+
+229
+00:23:25,530 --> 00:23:29,790
+بدا اكتبها لكم تاني بعد قليل لكم جيد ان نشير اليها
+
+230
+00:23:29,790 --> 00:23:34,990
+الآن بنجسم على x بشرط ان ال x ماتساويش zero لان ال
+
+231
+00:23:34,990 --> 00:23:41,100
+logarithm مش معرضلا للـ Zero ولا للقيمة السالبة.
+
+232
+00:23:41,200 --> 00:23:48,340
+يبقى الـ X دائما و أبدا for all X يبقى بس بإستثناء
+
+233
+00:23:48,340 --> 00:23:54,540
+الـ Zero. اذا لو جسمنا على X بنستنتج ميا ان لغرتم
+
+234
+00:23:54,540 --> 00:24:02,510
+A للأساس A بدي يساوي واحد صحيحة.أذا من الألف صاعدا
+
+235
+00:24:02,510 --> 00:24:08,370
+لج تلاتة للأساس تلاتة يشاوي، لج مية للأساس مية بده
+
+236
+00:24:08,370 --> 00:24:14,870
+يشاوي، لج نص للأساس نص بده يشاوي، كذلك واحد. تمام؟
+
+237
+00:24:14,870 --> 00:24:19,470
+هذه المعلومة ليها. المعلومة التانية.لا بدّي أجيب
+
+238
+00:24:19,470 --> 00:24:24,970
+الـ F composition F inverse of X طبعا بدي أسويه بـ
+
+239
+00:24:24,970 --> 00:24:30,550
+X itself هذا حسب تعريف ال composition of functions
+
+240
+00:24:30,550 --> 00:24:37,030
+يبقى F للـ F inverse of X بدي أسويه F الـ F
+
+241
+00:24:37,030 --> 00:24:43,550
+inverse of X هي مين؟ يلج الـ X للأساس A يبقى هذه
+
+242
+00:24:43,550 --> 00:24:50,250
+Log الـ X للأساس Aإذا كنا نتأثر على هذا الوضع، فإن
+
+243
+00:24:50,250 --> 00:24:57,230
+A مرفوعة لهذا الوضع يبقى هذا الكلام بده يساوي X
+
+244
+00:24:57,230 --> 00:25:05,410
+هذا بده يصير A مرفوعة لهذا الوضع بده يساوي جداش،
+
+245
+00:25:05,410 --> 00:25:10,350
+بده يساوي X اللي عندنا فبيطر على كل الـ real line
+
+246
+00:25:10,350 --> 00:25:17,790
+ولا على جزء منهكله يعني الـ Log معرّف لقيمة سالبة
+
+247
+00:25:17,790 --> 00:25:24,010
+أو صفر؟ لأ، ليس معرّف. يبقى هنا بالشرط إن X is
+
+248
+00:25:24,010 --> 00:25:30,830
+greater than 0. يبقى هذا أو القاعدة هذه، بنرفقها
+
+249
+00:25:30,830 --> 00:25:36,210
+مع القاعدة هذه وهذه التنتين المناظرتين لعلاقة الـ
+
+250
+00:25:36,210 --> 00:25:42,690
+E والـ 6 مع لن X. تمام؟يوجد تين تين هدول ضرورية
+
+251
+00:25:42,690 --> 00:25:50,730
+جدا تعرفهم عند الحسابات طيب نروح لبيننا التالتة و
+
+252
+00:25:50,730 --> 00:25:56,210
+انا ادراك اما التالتة very important بقول لغارتم
+
+253
+00:25:56,210 --> 00:26:05,120
+ال X للأساس A يسوى لن ال X على لن ال Aتوصى الماكو،
+
+254
+00:26:05,120 --> 00:26:09,000
+جو الماكو في علاقة ما بين الأتنين، جو الماكو .. مش
+
+255
+00:26:09,000 --> 00:26:15,460
+عارفين جو الماكو التنتين جرايت بعض بالعصبية بعض،
+
+256
+00:26:15,460 --> 00:26:21,390
+إذن واحدة بقدر جيفة بين الأتنين الثانيةيبقى نورتهم
+
+257
+00:26:21,390 --> 00:26:26,650
+الـ X للأساس ايه؟ هي عبارة عن واحد على لم الـ A
+
+258
+00:26:26,650 --> 00:26:32,670
+مضروب في مين؟ في لم الـ X. إذن بقدر اكتب انه لج
+
+259
+00:26:32,670 --> 00:26:37,870
+الـ X بدلان اثنين بدلالة اللم. ماجول؟ اه ماجول و
+
+260
+00:26:37,870 --> 00:26:41,210
+مفهوم، طبعا احنا هنثبتها، بس قبل نثبتها، بدي أعطيك
+
+261
+00:26:41,210 --> 00:26:49,650
+إشارة بسيطة. لو قلت لك لج ال X للأساس Eأي رقم غير
+
+262
+00:26:49,650 --> 00:26:55,630
+الواحد الصحيح يبقى بيصل لن ال X على لن ال A لن ال
+
+263
+00:26:55,630 --> 00:27:00,510
+A يبقى بادر يبقى لن ال X إذا لن ال X هي عبارة عن
+
+264
+00:27:00,510 --> 00:27:07,280
+لغرتم ال X للأساس A يبقى جمال البعض ولا لا؟وعصبية
+
+265
+00:27:07,280 --> 00:27:12,380
+وجيران وحباب ومافيش بينهم مشاكل كمان تمام؟ يبقى هي
+
+266
+00:27:12,380 --> 00:27:17,700
+اللي علاقة بين ال log X للأساس A و لمن ال X لو خلت
+
+267
+00:27:17,700 --> 00:27:22,520
+الأساس تبع ال log هو العدد A، بطل عنده ال natural
+
+268
+00:27:22,520 --> 00:27:28,390
+logarithmic functionلن ال X هاني واحدة ايه الثانية
+
+269
+00:27:28,390 --> 00:27:33,290
+لما كتبنا التعريف قبل قليل جلن ال A ممنوعة ساوي
+
+270
+00:27:33,290 --> 00:27:38,570
+واحد طب لو حصلوا ساوة واحد كان الأساس واحد بيصيح
+
+271
+00:27:38,570 --> 00:27:42,910
+لغرطب ال X الأساس واحد يصيح لن ال X على لن ال واحد
+
+272
+00:27:42,910 --> 00:27:49,170
+لن ال واحدبـ0 يبقى بنا Undefined من هنا روحنا
+
+273
+00:27:49,170 --> 00:27:53,150
+استبعدنا الواحد اللي هناك وهي نحن قد أجابنا على
+
+274
+00:27:53,150 --> 00:27:59,270
+سؤالنا الذي طرحناه قبل قليل يبقى a ممنوع تسوي واحد
+
+275
+00:27:59,270 --> 00:28:06,750
+هذا شرط ضروري لإيجستنس تبع نجل x للأساس a تمام؟
+
+276
+00:28:06,750 --> 00:28:11,230
+يبقى عرفنا ليش هذا a ممنوع تسوي واحد لأن بنا بيصير
+
+277
+00:28:11,230 --> 00:28:17,720
+Undefinedطيب هذه قرهانها very easy، very easy من
+
+278
+00:28:17,720 --> 00:28:24,500
+وين؟ بدنا نيجي على هذهاللي بينناها قبل قليل يبقى
+
+279
+00:28:24,500 --> 00:28:29,720
+باجي بقوله احنا عندنا ال a to the power logarithm
+
+280
+00:28:29,720 --> 00:28:37,400
+x للأساس a يساوي x لو تخد لن للطرفين يبقى بيصير
+
+281
+00:28:37,400 --> 00:28:45,060
+عند مين؟ لن افتح جوس a أس logarithm x للأساس a
+
+282
+00:28:45,060 --> 00:28:46,780
+بيساوي لن ال x
+
+283
+00:28:51,820 --> 00:28:58,620
+بتدرج على الخواص هذا كله أس للعدد a و لن ما أخده
+
+284
+00:28:58,620 --> 00:29:04,120
+يبقى بقول انت شرفنا بره منين اللين تبقى لمن لخواص
+
+285
+00:29:04,120 --> 00:29:10,820
+اللين يبقى بصير هذا logarithm x للأساس a فلن ال a
+
+286
+00:29:10,820 --> 00:29:17,880
+بدي سوى من لن ال xالان لن الا ا لا يمكن ان يساوي
+
+287
+00:29:17,880 --> 00:29:22,460
+zero لان الا ا بتسويش الواحد بالتالي يمكن القسم
+
+288
+00:29:22,460 --> 00:29:28,000
+على لن الا اكس without problems يبقى هذا الكلب بدي
+
+289
+00:29:28,000 --> 00:29:34,120
+يعطيك لجرتم الاكس للأساس ا بدي يساوي لن الاكس على
+
+290
+00:29:34,120 --> 00:29:43,880
+لن الا ا وهو المطلوب طيب كويس خاصية الرابعهذه هي
+
+291
+00:29:43,880 --> 00:29:48,580
+حتى حل عجلة كبيرة ومشكلة كبيرة ماهي المشكلة من
+
+292
+00:29:48,580 --> 00:29:58,040
+الـderivative لمن؟ للغرتم الـX للأساس A لا أعرف كم
+
+293
+00:29:58,040 --> 00:30:02,120
+بالضبط، بقول أنا لا أعرف فضل هذه، لكن أنا أعرف فضل
+
+294
+00:30:02,120 --> 00:30:08,500
+الـN هذه هي عبارة عن D على DX من الخاصية اللي
+
+295
+00:30:08,500 --> 00:30:13,820
+فوقها لن الـX على لن الـAلأن الـ A ثابت والـ M
+
+296
+00:30:13,820 --> 00:30:19,340
+متغيرفابت يبقى واحد على لن الا اكس كل مقدار فابت
+
+297
+00:30:19,340 --> 00:30:25,120
+يبقى واحد على اصف على شجة مالكش دعوة خليكي تتفرج
+
+298
+00:30:25,120 --> 00:30:29,600
+يبقى المشتقة منين؟ لن الاكس المشتقة من لن الاكس؟
+
+299
+00:30:29,600 --> 00:30:34,520
+واحد على اكس يبقى واحد على اكس إذا المشتقة واحد
+
+300
+00:30:34,520 --> 00:30:39,640
+على اكس في لن الا اكس إذا من الأنفا صعدت المشتقة
+
+301
+00:30:39,640 --> 00:30:43,840
+لغريتم الاكس للأساس ايه؟ اللي هو واحد على اكس في
+
+302
+00:30:43,840 --> 00:30:51,410
+لن الا اكسبدي أعلمها بروح بقول if ال U is a
+
+303
+00:30:51,410 --> 00:30:59,290
+differentiable function of X then ال D على DX
+
+304
+00:30:59,290 --> 00:31:07,710
+لنجرة من U للأساس A يبقى واحد على U في لمن ال A
+
+305
+00:31:07,710 --> 00:31:13,730
+تبقى لت شين رول في من في ال DU على DX
+
+306
+00:31:16,410 --> 00:31:21,870
+يبقى هذا ضروري جداً تكون ملم فيها وعارفها.
+
+307
+00:31:24,150 --> 00:31:30,130
+طب لو حبينا نرسم الرسمة لأن هذه ايه؟ ايه كذا power
+
+308
+00:31:30,130 --> 00:31:38,250
+X؟ ها يبقى بنفس الطريقة، باجي بقول هذا المحاور X
+
+309
+00:31:38,250 --> 00:31:46,180
+وY نقطة الاصل اللي هي زيروأو لغة رتم ال X هي حالة
+
+310
+00:31:46,180 --> 00:31:52,420
+خاصة من من؟ من لن ال X يعني constant في لن ال X
+
+311
+00:31:52,420 --> 00:31:58,700
+إذا رسمتها تشبه رسمة لن ال X تماما يقبل نزلها تحت
+
+312
+00:31:58,700 --> 00:32:02,740
+حاجة بسيطة نطلع عليها فوق حاجة بسيطة حسب قيمة X
+
+313
+00:32:02,740 --> 00:32:12,570
+المعطالة لكن تبقى تمر بنفس النقطة اليمين1.10 زي
+
+314
+00:32:12,570 --> 00:32:18,050
+منحنى لن ال X اتنين احنا بيقول انها معكوس ال A to
+
+315
+00:32:18,050 --> 00:32:24,270
+the power X يبقى اه مية المية فبرسمها دهك فبعدين
+
+316
+00:32:24,270 --> 00:32:30,530
+برسم اللي هو الخط Y تساوي X يبقى هذا الخط اللي
+
+317
+00:32:30,530 --> 00:32:38,040
+عندنا الومين Y تساوي Xالأصل تبقى هذه الدبلة هو a
+
+318
+00:32:38,040 --> 00:32:43,200
+to the power x يبقى a to the power x هو المنحدة
+
+319
+00:32:43,200 --> 00:32:49,260
+اللي عندنا y تساوي a to the power x وهذا النقطة 0
+
+320
+00:32:49,260 --> 00:32:55,370
+1الان هذه الدالة او لغريتم ال X للاساس ايه هي
+
+321
+00:32:55,370 --> 00:33:00,410
+معكوث هذه الدالة يبقى بنروح نقلب هذه الدالة عبر
+
+322
+00:33:00,410 --> 00:33:08,270
+الخط Y تساوي X من خواص الدالة و معكوثها طيب هذه
+
+323
+00:33:08,270 --> 00:33:14,530
+النقطة 01 يبقى ايش بده يصير؟ 101 يبقى بده يجيك
+
+324
+00:33:14,530 --> 00:33:18,390
+المنحنة بهذا الشكل هيك هذه النقطة
+
+325
+00:33:23,680 --> 00:33:37,500
+يبقى هذه Y تسوي لغرتم ال X للأساس A.طيب
+
+326
+00:33:37,500 --> 00:33:44,170
+النقطة الخامسةقوانين الانتباه في الدرم والقسمة
+
+327
+00:33:44,170 --> 00:33:50,330
+ورفع الأس ورفع الأس لتجعل power in كله نفسه فموجهة
+
+328
+00:33:50,330 --> 00:33:58,970
+جولسمت مجرتم ال X Y للأساس طبعا ال X greater than
+
+329
+00:33:58,970 --> 00:34:06,440
+0 وY greater than 0هذا الكلام بده يساوي طبعا هذه
+
+330
+00:34:06,440 --> 00:34:13,080
+هي النقطة الأولى يبقى هذه خمسة النقطة الأولى بده
+
+331
+00:34:13,080 --> 00:34:19,800
+يساوي لغريتم ال X للأساس A زائد لغريتم ال Y للأساس
+
+332
+00:34:19,800 --> 00:34:33,700
+A النقطة الثانيةلغرتم X على Y للأساس ايه؟ ناقص
+
+333
+00:34:33,700 --> 00:34:43,100
+لغرتم Y للأساس Aالنقطة التالتة مبنى logarithm واحد
+
+334
+00:34:43,100 --> 00:34:54,000
+على X للأساس A هو سالب logarithm X للأساس A يعني
+
+335
+00:34:54,000 --> 00:35:00,180
+logarithm الواحد للأساس A نقص logarithm X للأساس A
+
+336
+00:35:00,180 --> 00:35:06,510
+logarithm الواحد للأساس Aبـ0 بضال ناقص لغرتم
+
+337
+00:35:06,510 --> 00:35:12,250
+للنقطة الرابعة الأخيرة اللي هي مين لغرتم X to the
+
+338
+00:35:12,250 --> 00:35:20,270
+power N للأساس A يساوي M في لج ال X للأساس A نفس
+
+339
+00:35:20,270 --> 00:35:25,410
+المعلومات التابعة الثانوية العامة لم نغير فيها
+
+340
+00:35:25,410 --> 00:35:31,340
+شيئا لا يجر فيها أي شيء جديدلا حد هنا stop الله
+
+341
+00:35:31,340 --> 00:35:36,400
+يعطيك العافية انتهى الجزء النظري تبع هذا ال
+
+342
+00:35:36,400 --> 00:35:42,680
+section ولم يبقى الا مجموعة لا بأس بها من الأمثلة
+
+343
+00:35:42,680 --> 00:35:53,200
+حد
+
+344
+00:35:53,200 --> 00:35:56,300
+بدأ يسألني سؤال في الجزء النظري اللي اسمه قبل أن
+
+345
+00:35:56,300 --> 00:35:57,540
+ندخل إلى الأمثلة
+
+346
+00:36:00,220 --> 00:36:13,720
+واضح وضوح الشمس في ربيعة النهار سؤال
+
+347
+00:36:13,720 --> 00:36:24,120
+الأول Simplify the following expressions
+
+348
+00:36:26,540 --> 00:36:35,360
+بسط لي كل منصية التالية نمر ايه؟ نمر ايه؟ نمر ايه؟
+
+349
+00:36:35,360 --> 00:36:43,860
+نمر ايه؟ نمر ايه؟ نمر ايه؟ نمر
+
+350
+00:36:43,860 --> 00:36:52,960
+ايه؟ نمر ايه؟
+
+351
+00:36:54,930 --> 00:36:59,950
+بنرجع على الخواس تبع ال لن والإي ونحاول نستخدمها
+
+352
+00:36:59,950 --> 00:37:05,810
+في الحصول على شكل مبسط لهذا المقدار لو جيت لل term
+
+353
+00:37:05,810 --> 00:37:12,350
+الأول يبقى هذا EOS هذا لو كان فيش رقم قبل ال لن
+
+354
+00:37:12,350 --> 00:37:17,950
+لتخلصنا من ال E وال لن مرة واحدةبظبط؟ طب إذا اتنين
+
+355
+00:37:17,950 --> 00:37:23,190
+هذه بتقدر تدخلها دي و تصبح أصل المقدار اللي داخل
+
+356
+00:37:23,190 --> 00:37:27,730
+اللي لم تبقى للقصية ربع من خواص اللي لم يبقى هذه
+
+357
+00:37:27,730 --> 00:37:36,960
+ايش؟ ايه؟ أصلين أربع لكل تربيع تمام تمام زادهذا
+
+358
+00:37:36,960 --> 00:37:44,780
+الجذر يعتبر أُص نُص، تمام؟ يبقى بصير لم إيه أُص
+
+359
+00:37:44,780 --> 00:37:52,540
+ستة كله أُص نُصيساوي الـ E واللن مع السلامة بيصير
+
+360
+00:37:52,540 --> 00:37:58,760
+أربعة تربيه زاد هذا يعتبر أُس مُركّب يبقى نضغط
+
+361
+00:37:58,760 --> 00:38:04,520
+الأُس أُس في بعض مُص في ستة في جدواش ثلاثة يبقى لن
+
+362
+00:38:04,520 --> 00:38:11,080
+الـ E تكعيب أربعة تربيه تاني جدواش ستة عشر هذا
+
+363
+00:38:11,080 --> 00:38:17,540
+تلاتة في لن الـ Eست عشر زائد تلاتة لأن لنا الـ E
+
+364
+00:38:17,540 --> 00:38:25,720
+بقدرش واحد يبقى الجواب يساوي تسعة عشر. إيش اللي
+
+365
+00:38:25,720 --> 00:38:30,820
+تسعة عشر؟ سمعتوا في الرقم هذا قبل ذلك؟ مر علينا في
+
+366
+00:38:30,820 --> 00:38:39,170
+القرآن الكريم عليها تسعة .. من هي هذه؟ما تبقى ولا
+
+367
+00:38:39,170 --> 00:38:46,930
+تغر لوحة للبشر عليها تسعة عشر. طبعا يسأل الكافرون
+
+368
+00:38:46,930 --> 00:38:52,670
+ما سمتكم في سقر؟ قالوا لم نكن من المصلين يقدروا
+
+369
+00:38:52,670 --> 00:38:58,010
+بالك يصلوا ولم نكنوا طاهم المسكين وكنا نخوض مع
+
+370
+00:38:58,010 --> 00:39:03,040
+القائدينبنطلق لساننا في كل مجال، في كل علم، سواء
+
+371
+00:39:03,040 --> 00:39:08,180
+فاسد ولا غير فاسد، صالح ولا طالع، اه وكنا نفقده مع
+
+372
+00:39:08,180 --> 00:39:14,660
+الخيوط وكنا نكذب بيوم الدين حتى أتانا اليقين.
+
+373
+00:39:15,260 --> 00:39:19,720
+أجينا الموت وجينا المعرفة الحقيقية، لقد كنت في
+
+374
+00:39:19,720 --> 00:39:26,000
+غفلة من هذا فاتشفنا عنك غطاءك فبصروك اليوم حديد.
+
+375
+00:39:26,560 --> 00:39:33,960
+نمر بيه؟تمام؟ يبقى بدنا logarithm سبعة وعشرين
+
+376
+00:39:33,960 --> 00:39:42,660
+للأساس تسعة زائد logarithm للأساس اتنين للججر
+
+377
+00:39:42,660 --> 00:39:52,580
+التربية اللي تمانية ناقص لم إيتا كاين برضه
+
+378
+00:39:52,580 --> 00:39:59,470
+بنبسط هذا المقداربأجي بجيج هذي إيه إيش بده أعمل
+
+379
+00:39:59,470 --> 00:40:04,970
+فيها؟ ثلاث تكييب ثلاث تكييب؟ بعنوان موافقين يبجي
+
+380
+00:40:04,970 --> 00:40:14,190
+هذه ال logarithm تلات تكييب للأساس تسعة طبعا؟ طيب
+
+381
+00:40:14,190 --> 00:40:24,180
+هدها زائدهذه تعتبر تمانية اص نص يعني كأن النص
+
+382
+00:40:24,180 --> 00:40:32,980
+logarithm تمانية للاساس تلاتة وهذه ناقص تلاتة في
+
+383
+00:40:32,980 --> 00:40:40,460
+لن الايه؟ وإيه السوء؟ نبسط أكتر لو كان هذه بدلة
+
+384
+00:40:40,460 --> 00:40:48,840
+تلاتة تسعة لخلصنا من الشغل هذهيعني هذه تلاتة تكييب
+
+385
+00:40:48,840 --> 00:40:57,460
+يعني تلاتة تربيع في تلاتة
+
+386
+00:40:57,460 --> 00:41:02,920
+تلاتة مصبوط طب يجي من البداية اعمله تلاتة لج تلاتة
+
+387
+00:41:02,920 --> 00:41:11,680
+يبقى هذه بالصيرة تلاتة لج تلاتة للاساس تسعة هذه
+
+388
+00:41:11,680 --> 00:41:18,460
+بقدر اقول لن تمانية على لن اتنينتمام؟ يبقى هذه
+
+389
+00:41:18,460 --> 00:41:24,540
+زائد نص لن التمام يا جديش؟ اتنين و أصلا و أربعة
+
+390
+00:41:24,540 --> 00:41:28,920
+لها اتنين و أصلا و أربعة لها يا زلمة اتقربت الدنيا
+
+391
+00:41:28,920 --> 00:41:37,860
+يبقى لن اتنين تقيم على لن اتنين ناقص تلاتة لأن لن
+
+392
+00:41:37,860 --> 00:41:43,670
+ال E بواحد صحيح يبقى هذا الكلام يساوي تلاتةأيش
+
+393
+00:41:43,670 --> 00:41:49,850
+رأيك؟ لن التلاتة على لن التسعة. بنفعيك؟ تمام
+
+394
+00:41:49,850 --> 00:41:56,230
+خدناها و هصل لن. وبنجي نقول هنا الذائب نص لن اتنين
+
+395
+00:41:56,230 --> 00:42:03,510
+تقريبا يعني تلاتة لن اتنين يبقى تلاتة لن اتنين على
+
+396
+00:42:03,510 --> 00:42:12,160
+لن اتنينوهنا ناقص تلاتة ويسر نجي لهذه هذه تلاتة
+
+397
+00:42:12,160 --> 00:42:18,940
+وهنا لن تلاتة على تسعة ليه قداشر تلاتة تربية يعني
+
+398
+00:42:18,940 --> 00:42:26,240
+اتنين لن تلاتة نشيلها ونكتب بدلها اتنين لن تلاتة
+
+399
+00:42:26,240 --> 00:42:31,200
+خلاصنا من هذه لن اتنين مع لن اتنين الله يسهل عليها
+
+400
+00:42:31,200 --> 00:42:39,040
+بدل اني قداشر تلاتة على اتنين زائدتلاتة على اتنين
+
+401
+00:42:39,040 --> 00:42:45,640
+ناقص تلاتة طيب لين تلاتة مع لين تلاتة مع السلامة
+
+402
+00:42:45,640 --> 00:42:52,400
+يبقى آلة الى تلاتة على اتنين زائد تلاتة على اتنين
+
+403
+00:42:52,400 --> 00:42:59,700
+ناقص تلاتة ويساوي كده ايش؟ Zero يبقى الكلكة اللي
+
+404
+00:42:59,700 --> 00:43:06,370
+كلها هذهها ساوة صفر صفر حقيقة مش صفر جامعةسفر
+
+405
+00:43:06,370 --> 00:43:10,170
+الجامعة كم؟ أربعين. أربعين. هذا سفر حقيقي وليس
+
+406
+00:43:10,170 --> 00:43:12,730
+سفرا جامعيا.
+
+407
+00:43:32,770 --> 00:43:34,610
+مثال رقم اتنين.
+
+408
+00:43:50,640 --> 00:44:00,920
+الـ F of X بدأ تسوي Lim لمن؟ لـ Log للأساس تلاتة
+
+409
+00:44:00,920 --> 00:44:05,260
+للـ E أس اتنين X ناقص تلاتة
+
+410
+00:44:11,790 --> 00:44:18,070
+بنجد ايش ال domain لهذه الدالة؟ بنقوله كويس domain
+
+411
+00:44:18,070 --> 00:44:27,210
+الدالة F ب B ساوي كل العلاصر X بحيث ان استنى شوية
+
+412
+00:44:27,210 --> 00:44:34,170
+هذا لن للمقدر، لن مش معرف إلالقيمة موجبة، إذا بدّل
+
+413
+00:44:34,170 --> 00:44:38,150
+لبنجو سين هذا الكل يكون ماله موجب، يعني أكبر من
+
+414
+00:44:38,150 --> 00:44:43,430
+مين؟ من الـ zero يبقى such that logarithm للأساس
+
+415
+00:44:43,430 --> 00:44:48,930
+تلاتة للإي أس اتنين اكس ناقص تلاتة greater than
+
+416
+00:44:48,930 --> 00:44:55,230
+zeroالان بدك تشتغل اي شغل رياضي بقى هتتخلص من ال
+
+417
+00:44:55,230 --> 00:45:00,730
+log و ال exponential و بص نطلع x جداش طبعا يبقى
+
+418
+00:45:00,730 --> 00:45:05,330
+هذا الكلام بده يسوي كل العناصر x بحيث ان شرقت
+
+419
+00:45:05,330 --> 00:45:15,910
+كتابة بدلة لن نسلي يبقى لن لمن؟ لنللـ E أس اتنين X
+
+420
+00:45:15,910 --> 00:45:22,350
+ناقص ثلاثة على لن التلاتة أكبر من الـ Zero يبقى كل
+
+421
+00:45:22,350 --> 00:45:28,070
+العناصر X شروايا كدرب كله في لن التلاتة يبقى لو
+
+422
+00:45:28,070 --> 00:45:33,650
+ضربنا في لن التلاتة بيصبح ان ال لن E أس اتنين X
+
+423
+00:45:33,650 --> 00:45:39,430
+ناقص ثلاثة greater than Zero بتتخلص من اللن هذه شو
+
+424
+00:45:39,430 --> 00:45:40,550
+بعملها؟
+
+425
+00:45:52,380 --> 00:46:00,180
+يبقى كل العناصر X بحيث أن E أس لم E أس اتنين X
+
+426
+00:46:00,180 --> 00:46:06,100
+ناقص ثلاثة greater than E أس Zero يبقى كل العناصر
+
+427
+00:46:06,100 --> 00:46:12,680
+X بحيث أن E المنمع السلامة يبقى فضل جداش عندي E أس
+
+428
+00:46:12,680 --> 00:46:20,680
+اتنين X ناقص تلاتة ناقص تلاتة greater than E أس
+
+429
+00:46:20,680 --> 00:46:22,820
+Zero بواحد
+
+430
+00:46:24,320 --> 00:46:29,280
+يبقى كل العناصر X بحيث ان E أس اتنين X greater
+
+431
+00:46:29,280 --> 00:46:34,660
+than اربعة. بدنا نتخلص من exponential. يبقى ايش
+
+432
+00:46:34,660 --> 00:46:41,000
+بنعمل؟ بناخد ال len. يبقى لو أخدنا ال len للطرفين
+
+433
+00:46:41,000 --> 00:46:49,000
+بصير len اللي هو E أس اتنين X أكبر من len للاربعة.
+
+434
+00:46:49,460 --> 00:46:56,220
+يبقى كل العناصر X بحيث انتنين اكس في لن الاي لإن
+
+435
+00:46:56,220 --> 00:47:01,100
+اللي يبقى باشر بواحد لإن الأربعة اللي يبقى باشر
+
+436
+00:47:01,100 --> 00:47:07,840
+اتنين لإن اتنين اظل اتنين مع اتنين يبقى بصير كل
+
+437
+00:47:07,840 --> 00:47:15,300
+العناصر X بحيث ان ال X greater than لإن اتنين يبقى
+
+438
+00:47:15,300 --> 00:47:22,290
+كل ال real line عند لن اتنين لغاية اتنينلغاية
+
+439
+00:47:22,290 --> 00:47:28,310
+infinity سؤال لطيف جدا جاب المعلومات ال log مع ال
+
+440
+00:47:28,310 --> 00:47:33,590
+len مع ال exponential وهذا سؤال ركبناه تركيب مشان
+
+441
+00:47:33,590 --> 00:47:38,410
+نستخدم العديد من الخواص بسؤال بيجي زيه في
+
+442
+00:47:38,410 --> 00:47:43,350
+الامتحانات sometimes مش دايما يبقى ما اكتفي بهذا
+
+443
+00:47:43,350 --> 00:47:47,790
+القدر و بنكمل ان شاء الله يوم السبت اللي بيبقى على
+
+444
+00:47:47,790 --> 00:47:49,370
+قيد الحياة
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xn07vz5VVJk_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xn07vz5VVJk_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..be3fc914219f671023668a78df20482b8cab333c
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xn07vz5VVJk_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2610, "start": 10.24, "end": 26.1, "text": "بسم الله الرحمن الرحيم المرة الماضية كنا بنشتغل في ال inverse hyperbolic functions فعطينا ال inverse hyperbolic functions ومشتقاتها والتكملات المتعلقة بها", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 9673, 46958, 10632, 9122, 8315, 44945, 8592, 2655, 17082, 1211, 8978, 2423, 17340, 9848, 65, 7940, 6828, 6156, 3615, 9566, 1829, 8315, 2423, 17340, 9848, 65, 7940, 6828, 4032, 2304, 8592, 2655, 4587, 9307, 11296, 16070, 2655, 24793, 1211, 9307, 9673, 2655, 30241, 28671, 4724, 11296], "avg_logprob": -0.13106142035846052, "compression_ratio": 1.587837837837838, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 10.240000000000004, "end": 11.38, "word": "بسم", "probability": 0.5013427734375}, {"start": 11.38, "end": 11.58, "word": " الله", "probability": 0.96533203125}, {"start": 11.58, "end": 11.98, "word": " الرحمن", "probability": 0.9650065104166666}, {"start": 11.98, "end": 12.52, "word": " الرحيم", "probability": 0.9912109375}, {"start": 12.52, "end": 14.82, "word": " المرة", "probability": 0.835205078125}, {"start": 14.82, "end": 15.24, "word": " الماضية", "probability": 0.8326822916666666}, {"start": 15.24, "end": 15.48, "word": " كنا", "probability": 0.9775390625}, {"start": 15.48, "end": 15.98, "word": " بنشتغل", "probability": 0.9265625}, {"start": 15.98, "end": 16.12, "word": " في", "probability": 0.8798828125}, {"start": 16.12, "end": 16.28, "word": " ال", "probability": 0.705078125}, {"start": 16.28, "end": 16.88, "word": " inverse", "probability": 0.84716796875}, {"start": 16.88, "end": 17.84, "word": " hyperbolic", "probability": 0.9348958333333334}, {"start": 17.84, "end": 18.48, "word": " functions", "probability": 0.70947265625}, {"start": 18.48, "end": 19.66, "word": " فعطينا", "probability": 0.9189453125}, {"start": 19.66, "end": 19.78, "word": " ال", "probability": 0.68994140625}, {"start": 19.78, "end": 20.12, "word": " inverse", "probability": 0.88720703125}, {"start": 20.12, "end": 20.9, "word": " hyperbolic", "probability": 0.9767252604166666}, {"start": 20.9, "end": 21.56, "word": " functions", "probability": 0.8828125}, {"start": 21.56, "end": 23.3, "word": " ومشتقاتها", "probability": 0.9312918526785714}, {"start": 23.3, "end": 24.38, "word": " والتكملات", "probability": 0.84501953125}, {"start": 24.38, "end": 25.68, "word": " المتعلقة", "probability": 0.979736328125}, {"start": 25.68, "end": 26.1, "word": " بها", "probability": 0.809326171875}], "temperature": 1.0}, {"id": 2, "seek": 5472, "start": 26.78, "end": 54.72, "text": "وبعد ذلك بدأنا في الأمثلة فاخدنا مثالين المثال الأول كان عبارة عن حال مهادلة والمثال الثاني مجموعة من الدوالة ورحنا عملنا لها ال derivatives لغاية ما ننتقل إلى المثال التالت هو مجموعة من التكاملات فجينا للتكامل الأول integration لهو ال 6 على ال square root لE to the power 2x minus 9 كله بالنسبة الأمام إلى dx", "tokens": [37746, 22488, 29910, 23275, 47525, 10721, 8315, 8978, 16247, 2304, 12984, 37977, 6156, 47283, 3215, 8315, 50113, 6027, 9957, 9673, 12984, 6027, 16247, 12610, 25961, 6225, 3555, 9640, 3660, 18871, 11331, 6027, 3714, 3224, 18513, 37977, 16070, 2304, 12984, 6027, 6024, 104, 7649, 1829, 3714, 7435, 2304, 2407, 27884, 9154, 32748, 2407, 6027, 3660, 4032, 2288, 5016, 8315, 6225, 42213, 8315, 5296, 11296, 2423, 33733, 5296, 17082, 995, 10632, 19446, 8717, 29399, 4587, 1211, 30731, 9673, 12984, 6027, 16712, 6027, 2655, 31439, 3714, 7435, 2304, 2407, 27884, 9154, 16712, 4117, 10943, 1211, 9307, 6156, 7435, 1829, 8315, 24976, 2655, 4117, 10943, 1211, 16247, 12610, 10980, 46740, 2407, 2423, 1386, 15844, 2423, 3732, 5593, 5296, 36, 281, 264, 1347, 568, 87, 3175, 1722, 28242, 3224, 20666, 1863, 35457, 3660, 16247, 2304, 10943, 30731, 30017], "avg_logprob": -0.2756529984189503, "compression_ratio": 1.8472727272727272, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 26.78, "end": 27.2, "word": "وبعد", "probability": 0.55450439453125}, {"start": 27.2, "end": 27.34, "word": " ذلك", "probability": 0.7208251953125}, {"start": 27.34, "end": 27.76, "word": " بدأنا", "probability": 0.8683268229166666}, {"start": 27.76, "end": 27.92, "word": " في", "probability": 0.391357421875}, {"start": 27.92, "end": 28.64, "word": " الأمثلة", "probability": 0.9342041015625}, {"start": 28.64, "end": 29.76, "word": " فاخدنا", "probability": 0.819580078125}, {"start": 29.76, "end": 30.82, "word": " مثالين", "probability": 0.966796875}, {"start": 30.82, "end": 31.24, "word": " المثال", "probability": 0.77392578125}, {"start": 31.24, "end": 31.62, "word": " الأول", "probability": 0.957275390625}, {"start": 31.62, "end": 31.94, "word": " كان", "probability": 0.93798828125}, {"start": 31.94, "end": 32.24, "word": " عبارة", "probability": 0.974365234375}, {"start": 32.24, "end": 32.44, "word": " عن", "probability": 0.9951171875}, {"start": 32.44, "end": 32.7, "word": " حال", "probability": 0.853271484375}, {"start": 32.7, "end": 33.28, "word": " مهادلة", "probability": 0.8350830078125}, {"start": 33.28, "end": 34.26, "word": " والمثال", "probability": 0.917724609375}, {"start": 34.26, "end": 34.82, "word": " الثاني", "probability": 0.9283447265625}, {"start": 34.82, "end": 35.78, "word": " مجموعة", "probability": 0.9359375}, {"start": 35.78, "end": 35.98, "word": " من", "probability": 0.97802734375}, {"start": 35.98, "end": 36.54, "word": " الدوالة", "probability": 0.61334228515625}, {"start": 36.54, "end": 36.9, "word": " ورحنا", "probability": 0.63385009765625}, {"start": 36.9, "end": 37.26, "word": " عملنا", "probability": 0.8566080729166666}, {"start": 37.26, "end": 37.46, "word": " لها", "probability": 0.864013671875}, {"start": 37.46, "end": 37.6, "word": " ال", "probability": 0.72998046875}, {"start": 37.6, "end": 38.12, "word": " derivatives", "probability": 0.8544921875}, {"start": 38.12, "end": 38.86, "word": " لغاية", "probability": 0.66058349609375}, {"start": 38.86, "end": 38.96, "word": " ما", "probability": 0.203857421875}, {"start": 38.96, "end": 39.48, "word": " ننتقل", "probability": 0.9066162109375}, {"start": 39.48, "end": 39.7, "word": " إلى", "probability": 0.5458984375}, {"start": 39.7, "end": 40.1, "word": " المثال", "probability": 0.98193359375}, {"start": 40.1, "end": 40.48, "word": " التالت", "probability": 0.8238932291666666}, {"start": 40.48, "end": 40.64, "word": " هو", "probability": 0.4482421875}, {"start": 40.64, "end": 41.3, "word": " مجموعة", "probability": 0.934375}, {"start": 41.3, "end": 41.7, "word": " من", "probability": 0.98583984375}, {"start": 41.7, "end": 43.58, "word": " التكاملات", "probability": 0.9810546875}, {"start": 43.58, "end": 44.4, "word": " فجينا", "probability": 0.925048828125}, {"start": 44.4, "end": 45.12, "word": " للتكامل", "probability": 0.95537109375}, {"start": 45.12, "end": 45.7, "word": " الأول", "probability": 0.965087890625}, {"start": 45.7, "end": 46.68, "word": " integration", "probability": 0.916015625}, {"start": 46.68, "end": 47.4, "word": " لهو", "probability": 0.281341552734375}, {"start": 47.4, "end": 47.5, "word": " ال", "probability": 0.322998046875}, {"start": 47.5, "end": 47.74, "word": " 6", "probability": 0.5244140625}, {"start": 47.74, "end": 47.98, "word": " على", "probability": 0.71337890625}, {"start": 47.98, "end": 48.14, "word": " ال", "probability": 0.6552734375}, {"start": 48.14, "end": 48.44, "word": " square", "probability": 0.7880859375}, {"start": 48.44, "end": 48.92, "word": " root", "probability": 0.86865234375}, {"start": 48.92, "end": 49.74, "word": " لE", "probability": 0.3465576171875}, {"start": 49.74, "end": 49.9, "word": " to", "probability": 0.4765625}, {"start": 49.9, "end": 50.06, "word": " the", "probability": 0.91845703125}, {"start": 50.06, "end": 50.36, "word": " power", "probability": 0.86279296875}, {"start": 50.36, "end": 50.92, "word": " 2x", "probability": 0.576904296875}, {"start": 50.92, "end": 51.4, "word": " minus", "probability": 0.5810546875}, {"start": 51.4, "end": 52.3, "word": " 9", "probability": 0.93896484375}, {"start": 52.3, "end": 52.76, "word": " كله", "probability": 0.8994140625}, {"start": 52.76, "end": 53.14, "word": " بالنسبة", "probability": 0.954345703125}, {"start": 53.14, "end": 53.72, "word": " الأمام", "probability": 0.7242838541666666}, {"start": 53.72, "end": 54.34, "word": " إلى", "probability": 0.64453125}, {"start": 54.34, "end": 54.72, "word": " dx", "probability": 0.71484375}], "temperature": 1.0}, {"id": 3, "seek": 7537, "start": 55.69, "end": 75.37, "text": "طبعا لو جينا الان التكملات اللى عندك تبعد معكس الدول المثلثية ولا واحدة فيها exponential نهاية كله بدلالة مين ال X وال X ده ربيع اذا انا ممكن احط اي variable جديد بدل ال E وال6 وبالتالي اوصل لصورة", "tokens": [9566, 3555, 3615, 995, 45164, 10874, 1829, 8315, 2423, 7649, 16712, 24793, 1211, 9307, 13672, 7578, 43242, 4117, 6055, 3555, 22488, 20449, 4117, 3794, 32748, 12610, 9673, 12984, 1211, 12984, 10632, 49429, 36764, 24401, 3660, 8978, 11296, 21510, 8717, 11296, 10632, 28242, 3224, 47525, 1211, 6027, 3660, 3714, 9957, 2423, 1783, 16070, 1783, 11778, 3224, 12602, 3555, 40228, 1975, 15730, 1975, 8315, 3714, 43020, 1975, 5016, 9566, 1975, 1829, 7006, 10874, 16254, 3215, 47525, 1211, 2423, 462, 16070, 21, 46599, 6027, 2655, 6027, 1829, 1975, 2407, 36520, 5296, 9381, 13063, 3660], "avg_logprob": -0.19293478584807852, "compression_ratio": 1.5990338164251208, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 55.69, "end": 56.57, "word": "طبعا", "probability": 0.84600830078125}, {"start": 56.57, "end": 57.45, "word": " لو", "probability": 0.390625}, {"start": 57.45, "end": 57.79, "word": " جينا", "probability": 0.939453125}, {"start": 57.79, "end": 58.05, "word": " الان", "probability": 0.5469970703125}, {"start": 58.05, "end": 59.09, "word": " التكملات", "probability": 0.852783203125}, {"start": 59.09, "end": 59.29, "word": " اللى", "probability": 0.876708984375}, {"start": 59.29, "end": 59.63, "word": " عندك", "probability": 0.978515625}, {"start": 59.63, "end": 59.97, "word": " تبعد", "probability": 0.7504069010416666}, {"start": 59.97, "end": 60.45, "word": " معكس", "probability": 0.694580078125}, {"start": 60.45, "end": 60.85, "word": " الدول", "probability": 0.642822265625}, {"start": 60.85, "end": 61.63, "word": " المثلثية", "probability": 0.91259765625}, {"start": 61.63, "end": 61.91, "word": " ولا", "probability": 0.79638671875}, {"start": 61.91, "end": 62.41, "word": " واحدة", "probability": 0.96923828125}, {"start": 62.41, "end": 62.75, "word": " فيها", "probability": 0.94873046875}, {"start": 62.75, "end": 63.59, "word": " exponential", "probability": 0.875}, {"start": 63.59, "end": 64.69, "word": " نهاية", "probability": 0.713134765625}, {"start": 64.69, "end": 65.35, "word": " كله", "probability": 0.89794921875}, {"start": 65.35, "end": 65.95, "word": " بدلالة", "probability": 0.9412841796875}, {"start": 65.95, "end": 66.21, "word": " مين", "probability": 0.6923828125}, {"start": 66.21, "end": 66.37, "word": " ال", "probability": 0.951171875}, {"start": 66.37, "end": 66.71, "word": " X", "probability": 0.6357421875}, {"start": 66.71, "end": 66.99, "word": " وال", "probability": 0.52734375}, {"start": 66.99, "end": 67.45, "word": " X", "probability": 0.65234375}, {"start": 67.45, "end": 67.73, "word": " ده", "probability": 0.7060546875}, {"start": 67.73, "end": 68.07, "word": " ربيع", "probability": 0.756591796875}, {"start": 68.07, "end": 68.85, "word": " اذا", "probability": 0.8232421875}, {"start": 68.85, "end": 69.15, "word": " انا", "probability": 0.927001953125}, {"start": 69.15, "end": 69.57, "word": " ممكن", "probability": 0.989990234375}, {"start": 69.57, "end": 70.11, "word": " احط", "probability": 0.90625}, {"start": 70.11, "end": 70.53, "word": " اي", "probability": 0.83642578125}, {"start": 70.53, "end": 71.01, "word": " variable", "probability": 0.9248046875}, {"start": 71.01, "end": 71.47, "word": " جديد", "probability": 0.9581705729166666}, {"start": 71.47, "end": 71.91, "word": " بدل", "probability": 0.981201171875}, {"start": 71.91, "end": 72.11, "word": " ال", "probability": 0.9072265625}, {"start": 72.11, "end": 72.29, "word": " E", "probability": 0.92431640625}, {"start": 72.29, "end": 72.83, "word": " وال6", "probability": 0.609619140625}, {"start": 72.83, "end": 73.77, "word": " وبالتالي", "probability": 0.9595703125}, {"start": 73.77, "end": 74.55, "word": " اوصل", "probability": 0.9280598958333334}, {"start": 74.55, "end": 75.37, "word": " لصورة", "probability": 0.9639892578125}], "temperature": 1.0}, {"id": 4, "seek": 9959, "start": 75.55, "end": 99.59, "text": "يحضر تكاملات اللى موجودة عندنا لتكاملات الستة يبقى ممكن اشيل ال E و ال six و احط بدل اى variable اخر يجى فى بلد فمثلا لو حطينا ال Y تساوي E و ال six يبقى ال D Y هي E و ال six في مين؟ في ال DX اذا مسألة التكامل عندنا هتصبح على الشكل التالى", "tokens": [1829, 5016, 11242, 2288, 6055, 4117, 10943, 1211, 9307, 13672, 7578, 3714, 29245, 23328, 3660, 43242, 8315, 5296, 2655, 4117, 10943, 1211, 9307, 2423, 14851, 3660, 7251, 3555, 4587, 7578, 3714, 43020, 1975, 8592, 26895, 2423, 462, 4032, 2423, 2309, 4032, 1975, 5016, 9566, 47525, 1211, 1975, 7578, 7006, 1975, 34740, 7251, 7435, 7578, 6156, 7578, 4724, 1211, 3215, 6156, 2304, 12984, 15040, 45164, 11331, 9566, 1829, 8315, 2423, 398, 6055, 3794, 995, 45865, 462, 4032, 2423, 2309, 7251, 3555, 4587, 7578, 2423, 413, 398, 39896, 462, 4032, 2423, 2309, 8978, 3714, 9957, 22807, 8978, 2423, 48817, 1975, 15730, 47524, 10721, 37977, 16712, 4117, 10943, 1211, 43242, 8315, 8032, 2655, 9381, 49628, 15844, 25124, 28820, 16712, 6027, 7578], "avg_logprob": -0.28256301569337605, "compression_ratio": 1.8082191780821917, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 75.55, "end": 76.07, "word": "يحضر", "probability": 0.460906982421875}, {"start": 76.07, "end": 76.99, "word": " تكاملات", "probability": 0.85009765625}, {"start": 76.99, "end": 77.27, "word": " اللى", "probability": 0.4837646484375}, {"start": 77.27, "end": 77.81, "word": " موجودة", "probability": 0.91845703125}, {"start": 77.81, "end": 78.29, "word": " عندنا", "probability": 0.699462890625}, {"start": 78.29, "end": 79.41, "word": " لتكاملات", "probability": 0.8932291666666666}, {"start": 79.41, "end": 80.33, "word": " الستة", "probability": 0.7805989583333334}, {"start": 80.33, "end": 80.85, "word": " يبقى", "probability": 0.9022216796875}, {"start": 80.85, "end": 81.15, "word": " ممكن", "probability": 0.976806640625}, {"start": 81.15, "end": 81.57, "word": " اشيل", "probability": 0.84033203125}, {"start": 81.57, "end": 81.75, "word": " ال", "probability": 0.95654296875}, {"start": 81.75, "end": 81.89, "word": " E", "probability": 0.457763671875}, {"start": 81.89, "end": 82.05, "word": " و", "probability": 0.37890625}, {"start": 82.05, "end": 82.15, "word": " ال", "probability": 0.7646484375}, {"start": 82.15, "end": 82.35, "word": " six", "probability": 0.58984375}, {"start": 82.35, "end": 82.55, "word": " و", "probability": 0.8505859375}, {"start": 82.55, "end": 82.79, "word": " احط", "probability": 0.5335286458333334}, {"start": 82.79, "end": 83.11, "word": " بدل", "probability": 0.5811767578125}, {"start": 83.11, "end": 83.67, "word": " اى", "probability": 0.6767578125}, {"start": 83.67, "end": 84.29, "word": " variable", "probability": 0.93310546875}, {"start": 84.29, "end": 84.79, "word": " اخر", "probability": 0.79541015625}, {"start": 84.79, "end": 85.15, "word": " يجى", "probability": 0.7469075520833334}, {"start": 85.15, "end": 85.33, "word": " فى", "probability": 0.93701171875}, {"start": 85.33, "end": 85.69, "word": " بلد", "probability": 0.7890625}, {"start": 85.69, "end": 87.35, "word": " فمثلا", "probability": 0.857666015625}, {"start": 87.35, "end": 88.05, "word": " لو", "probability": 0.421630859375}, {"start": 88.05, "end": 88.77, "word": " حطينا", "probability": 0.801025390625}, {"start": 88.77, "end": 88.95, "word": " ال", "probability": 0.87548828125}, {"start": 88.95, "end": 89.19, "word": " Y", "probability": 0.58154296875}, {"start": 89.19, "end": 89.95, "word": " تساوي", "probability": 0.8695068359375}, {"start": 89.95, "end": 90.25, "word": " E", "probability": 0.9716796875}, {"start": 90.25, "end": 90.35, "word": " و", "probability": 0.9521484375}, {"start": 90.35, "end": 90.51, "word": " ال", "probability": 0.8759765625}, {"start": 90.51, "end": 90.79, "word": " six", "probability": 0.93505859375}, {"start": 90.79, "end": 91.71, "word": " يبقى", "probability": 0.9796142578125}, {"start": 91.71, "end": 91.87, "word": " ال", "probability": 0.8935546875}, {"start": 91.87, "end": 92.05, "word": " D", "probability": 0.2496337890625}, {"start": 92.05, "end": 92.47, "word": " Y", "probability": 0.7744140625}, {"start": 92.47, "end": 92.81, "word": " هي", "probability": 0.80859375}, {"start": 92.81, "end": 93.11, "word": " E", "probability": 0.9638671875}, {"start": 93.11, "end": 93.25, "word": " و", "probability": 0.98193359375}, {"start": 93.25, "end": 93.39, "word": " ال", "probability": 0.91162109375}, {"start": 93.39, "end": 93.65, "word": " six", "probability": 0.9501953125}, {"start": 93.65, "end": 93.91, "word": " في", "probability": 0.7451171875}, {"start": 93.91, "end": 94.57, "word": " مين؟", "probability": 0.5869140625}, {"start": 94.57, "end": 94.69, "word": " في", "probability": 0.6318359375}, {"start": 94.69, "end": 94.79, "word": " ال", "probability": 0.95068359375}, {"start": 94.79, "end": 95.23, "word": " DX", "probability": 0.646484375}, {"start": 95.23, "end": 95.93, "word": " اذا", "probability": 0.650146484375}, {"start": 95.93, "end": 96.51, "word": " مسألة", "probability": 0.978515625}, {"start": 96.51, "end": 97.25, "word": " التكامل", "probability": 0.948974609375}, {"start": 97.25, "end": 97.69, "word": " عندنا", "probability": 0.61181640625}, {"start": 97.69, "end": 98.37, "word": " هتصبح", "probability": 0.880615234375}, {"start": 98.37, "end": 98.61, "word": " على", "probability": 0.9033203125}, {"start": 98.61, "end": 99.05, "word": " الشكل", "probability": 0.794189453125}, {"start": 99.05, "end": 99.59, "word": " التالى", "probability": 0.9129231770833334}], "temperature": 1.0}, {"id": 5, "seek": 12663, "start": 99.91, "end": 126.63, "text": "هشيل ال E و ال 6 DX هدى كلها و اكتب بدلها ميم دي Y على الجذر التربية اللى Y تربية ناقص مين ناقص تسعة اذا اتخلصنا من قصة ال exponential function و حولناها الى تكامل بالشكل اللى قدامنا هذا يبقى هذا لو رجعت للتكاملات الستة المتعلقة بمعكوس الدول المتلاتية بلاجها بارعة ميم", "tokens": [3224, 8592, 26895, 2423, 462, 4032, 2423, 1386, 48817, 8032, 3215, 7578, 28242, 11296, 4032, 1975, 4117, 2655, 3555, 47525, 1211, 11296, 3714, 32640, 11778, 1829, 398, 15844, 25724, 8848, 2288, 16712, 25513, 10632, 13672, 7578, 398, 6055, 25513, 10632, 8717, 995, 4587, 9381, 3714, 9957, 8717, 995, 4587, 9381, 6055, 3794, 27884, 1975, 15730, 1975, 2655, 9778, 1211, 9381, 8315, 9154, 12174, 9381, 3660, 2423, 21510, 2445, 4032, 11331, 12610, 8315, 11296, 2423, 7578, 6055, 4117, 10943, 1211, 20666, 8592, 28820, 13672, 7578, 12174, 3215, 10943, 8315, 23758, 7251, 3555, 4587, 7578, 23758, 45164, 12602, 7435, 34268, 24976, 2655, 4117, 10943, 1211, 9307, 21136, 2655, 3660, 9673, 2655, 30241, 28671, 4724, 2304, 3615, 4117, 41779, 32748, 12610, 9673, 2655, 1211, 9307, 10632, 4724, 1211, 26108, 11296, 4724, 9640, 27884, 3714, 32640], "avg_logprob": -0.22626879564801552, "compression_ratio": 1.836, "no_speech_prob": 0.0, "words": [{"start": 99.91, "end": 100.53, "word": "هشيل", "probability": 0.5179443359375}, {"start": 100.53, "end": 100.77, "word": " ال", "probability": 0.69775390625}, {"start": 100.77, "end": 100.97, "word": " E", "probability": 0.6181640625}, {"start": 100.97, "end": 101.23, "word": " و", "probability": 0.42822265625}, {"start": 101.23, "end": 101.29, "word": " ال", "probability": 0.7060546875}, {"start": 101.29, "end": 101.57, "word": " 6", "probability": 0.75341796875}, {"start": 101.57, "end": 102.07, "word": " DX", "probability": 0.419677734375}, {"start": 102.07, "end": 102.49, "word": " هدى", "probability": 0.4931640625}, {"start": 102.49, "end": 102.83, "word": " كلها", "probability": 0.765380859375}, {"start": 102.83, "end": 102.99, "word": " و", "probability": 0.7978515625}, {"start": 102.99, "end": 103.21, "word": " اكتب", "probability": 0.913818359375}, {"start": 103.21, "end": 103.63, "word": " بدلها", "probability": 0.935546875}, {"start": 103.63, "end": 104.09, "word": " ميم", "probability": 0.5341796875}, {"start": 104.09, "end": 105.03, "word": " دي", "probability": 0.50732421875}, {"start": 105.03, "end": 105.31, "word": " Y", "probability": 0.88134765625}, {"start": 105.31, "end": 105.77, "word": " على", "probability": 0.75537109375}, {"start": 105.77, "end": 106.35, "word": " الجذر", "probability": 0.8992513020833334}, {"start": 106.35, "end": 106.91, "word": " التربية", "probability": 0.9020182291666666}, {"start": 106.91, "end": 107.09, "word": " اللى", "probability": 0.69482421875}, {"start": 107.09, "end": 107.39, "word": " Y", "probability": 0.66943359375}, {"start": 107.39, "end": 107.91, "word": " تربية", "probability": 0.9212239583333334}, {"start": 107.91, "end": 108.43, "word": " ناقص", "probability": 0.98193359375}, {"start": 108.43, "end": 108.91, "word": " مين", "probability": 0.82763671875}, {"start": 108.91, "end": 109.65, "word": " ناقص", "probability": 0.91552734375}, {"start": 109.65, "end": 110.09, "word": " تسعة", "probability": 0.7750651041666666}, {"start": 110.09, "end": 111.43, "word": " اذا", "probability": 0.6754150390625}, {"start": 111.43, "end": 112.65, "word": " اتخلصنا", "probability": 0.971435546875}, {"start": 112.65, "end": 112.81, "word": " من", "probability": 0.98974609375}, {"start": 112.81, "end": 113.21, "word": " قصة", "probability": 0.95947265625}, {"start": 113.21, "end": 113.37, "word": " ال", "probability": 0.94677734375}, {"start": 113.37, "end": 113.85, "word": " exponential", "probability": 0.9111328125}, {"start": 113.85, "end": 114.57, "word": " function", "probability": 0.95556640625}, {"start": 114.57, "end": 115.13, "word": " و", "probability": 0.91357421875}, {"start": 115.13, "end": 115.91, "word": " حولناها", "probability": 0.8817138671875}, {"start": 115.91, "end": 116.23, "word": " الى", "probability": 0.78271484375}, {"start": 116.23, "end": 116.77, "word": " تكامل", "probability": 0.8621826171875}, {"start": 116.77, "end": 117.31, "word": " بالشكل", "probability": 0.9806315104166666}, {"start": 117.31, "end": 117.47, "word": " اللى", "probability": 0.975341796875}, {"start": 117.47, "end": 118.25, "word": " قدامنا", "probability": 0.9625244140625}, {"start": 118.25, "end": 118.85, "word": " هذا", "probability": 0.81982421875}, {"start": 118.85, "end": 119.87, "word": " يبقى", "probability": 0.9798583984375}, {"start": 119.87, "end": 120.15, "word": " هذا", "probability": 0.88232421875}, {"start": 120.15, "end": 120.37, "word": " لو", "probability": 0.95703125}, {"start": 120.37, "end": 120.85, "word": " رجعت", "probability": 0.98681640625}, {"start": 120.85, "end": 121.93, "word": " للتكاملات", "probability": 0.8642578125}, {"start": 121.93, "end": 122.49, "word": " الستة", "probability": 0.7804361979166666}, {"start": 122.49, "end": 123.25, "word": " المتعلقة", "probability": 0.9742431640625}, {"start": 123.25, "end": 123.87, "word": " بمعكوس", "probability": 0.830859375}, {"start": 123.87, "end": 124.33, "word": " الدول", "probability": 0.9306640625}, {"start": 124.33, "end": 125.19, "word": " المتلاتية", "probability": 0.7474609375}, {"start": 125.19, "end": 125.73, "word": " بلاجها", "probability": 0.66607666015625}, {"start": 125.73, "end": 126.15, "word": " بارعة", "probability": 0.5309244791666666}, {"start": 126.15, "end": 126.63, "word": " ميم", "probability": 0.9697265625}], "temperature": 1.0}, {"id": 6, "seek": 14547, "start": 127.34, "end": 145.48, "text": "جوش انفرس يبقى هذا يصير جوش انفرس يبقى جوش انفرس للواعي على تلاتة زائد كونستانسين", "tokens": [7435, 2407, 8592, 16472, 5172, 2288, 3794, 7251, 3555, 4587, 7578, 23758, 7251, 9381, 13546, 10874, 2407, 8592, 16472, 5172, 2288, 3794, 7251, 3555, 4587, 7578, 10874, 2407, 8592, 16472, 5172, 2288, 3794, 24976, 14407, 3615, 1829, 15844, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 3794, 9957], "avg_logprob": -0.308293270950134, "compression_ratio": 1.6263736263736264, "no_speech_prob": 0.0, "words": [{"start": 127.34, "end": 128.46, "word": "جوش", "probability": 0.6773478190104166}, {"start": 128.46, "end": 129.16, "word": " انفرس", "probability": 0.7264404296875}, {"start": 129.16, "end": 130.78, "word": " يبقى", "probability": 0.7628173828125}, {"start": 130.78, "end": 131.04, "word": " هذا", "probability": 0.64990234375}, {"start": 131.04, "end": 132.0, "word": " يصير", "probability": 0.5956217447916666}, {"start": 132.0, "end": 132.94, "word": " جوش", "probability": 0.8746744791666666}, {"start": 132.94, "end": 138.86, "word": " انفرس", "probability": 0.7864990234375}, {"start": 138.86, "end": 139.9, "word": " يبقى", "probability": 0.771728515625}, {"start": 139.9, "end": 140.38, "word": " جوش", "probability": 0.7880045572916666}, {"start": 140.38, "end": 141.22, "word": " انفرس", "probability": 0.9765625}, {"start": 141.22, "end": 142.16, "word": " للواعي", "probability": 0.7064208984375}, {"start": 142.16, "end": 142.54, "word": " على", "probability": 0.884765625}, {"start": 142.54, "end": 143.58, "word": " تلاتة", "probability": 0.880859375}, {"start": 143.58, "end": 144.2, "word": " زائد", "probability": 0.9075520833333334}, {"start": 144.2, "end": 145.48, "word": " كونستانسين", "probability": 0.816162109375}], "temperature": 1.0}, {"id": 7, "seek": 16288, "start": 146.1, "end": 162.88, "text": "الان ممكن نشيل ال y و انهقبتها بدلالة x اللي هي EO6 يبقى هذا بده يساوي Gauss inverse لمين لل EO6 على 3 زائد constant C التكامل الثاني", "tokens": [6027, 7649, 3714, 43020, 8717, 8592, 26895, 2423, 288, 4032, 16472, 3224, 4587, 3555, 2655, 11296, 47525, 1211, 6027, 3660, 2031, 13672, 1829, 39896, 462, 46, 21, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3794, 995, 45865, 10384, 2023, 17340, 32767, 9957, 24976, 462, 46, 21, 15844, 805, 30767, 16373, 3215, 5754, 383, 16712, 4117, 10943, 1211, 6024, 104, 7649, 1829], "avg_logprob": -0.36879961074344697, "compression_ratio": 1.30625, "no_speech_prob": 0.0, "words": [{"start": 146.1, "end": 146.58, "word": "الان", "probability": 0.5849609375}, {"start": 146.58, "end": 147.0, "word": " ممكن", "probability": 0.6591796875}, {"start": 147.0, "end": 147.5, "word": " نشيل", "probability": 0.5559895833333334}, {"start": 147.5, "end": 147.64, "word": " ال", "probability": 0.91552734375}, {"start": 147.64, "end": 147.8, "word": " y", "probability": 0.373779296875}, {"start": 147.8, "end": 147.92, "word": " و", "probability": 0.65966796875}, {"start": 147.92, "end": 148.58, "word": " انهقبتها", "probability": 0.610107421875}, {"start": 148.58, "end": 149.2, "word": " بدلالة", "probability": 0.9296875}, {"start": 149.2, "end": 149.46, "word": " x", "probability": 0.88427734375}, {"start": 149.46, "end": 149.66, "word": " اللي", "probability": 0.397216796875}, {"start": 149.66, "end": 149.88, "word": " هي", "probability": 0.86279296875}, {"start": 149.88, "end": 150.62, "word": " EO6", "probability": 0.6056315104166666}, {"start": 150.62, "end": 151.52, "word": " يبقى", "probability": 0.9388427734375}, {"start": 151.52, "end": 151.84, "word": " هذا", "probability": 0.93603515625}, {"start": 151.84, "end": 152.38, "word": " بده", "probability": 0.59033203125}, {"start": 152.38, "end": 152.86, "word": " يساوي", "probability": 0.8961181640625}, {"start": 152.86, "end": 153.54, "word": " Gauss", "probability": 0.499969482421875}, {"start": 153.54, "end": 154.28, "word": " inverse", "probability": 0.78125}, {"start": 154.28, "end": 155.06, "word": " لمين", "probability": 0.750732421875}, {"start": 155.06, "end": 155.72, "word": " لل", "probability": 0.822265625}, {"start": 155.72, "end": 156.76, "word": " EO6", "probability": 0.88330078125}, {"start": 156.76, "end": 157.24, "word": " على", "probability": 0.67578125}, {"start": 157.24, "end": 157.98, "word": " 3", "probability": 0.5703125}, {"start": 157.98, "end": 159.18, "word": " زائد", "probability": 0.7840169270833334}, {"start": 159.18, "end": 159.86, "word": " constant", "probability": 0.351318359375}, {"start": 159.86, "end": 160.6, "word": " C", "probability": 0.6640625}, {"start": 160.6, "end": 162.12, "word": " التكامل", "probability": 0.878173828125}, {"start": 162.12, "end": 162.88, "word": " الثاني", "probability": 0.9544677734375}], "temperature": 1.0}, {"id": 8, "seek": 19115, "start": 165.19, "end": 191.15, "text": "ببنى integration لـ dx على ال square root الجذر التربيعى لل X² نقص عشرة X زائد اربعة و تلاتين هذا الكلام يساوي تكامل DX على الجذر التربيعى", "tokens": [3555, 3555, 1863, 7578, 10980, 5296, 39184, 30017, 15844, 2423, 3732, 5593, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 7578, 24976, 1783, 27643, 8717, 4587, 9381, 6225, 8592, 25720, 1783, 30767, 16373, 3215, 1975, 25513, 27884, 4032, 6055, 1211, 9307, 9957, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 6055, 4117, 10943, 1211, 48817, 15844, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 7578], "avg_logprob": -0.22778319963254035, "compression_ratio": 1.4203821656050954, "no_speech_prob": 0.0, "words": [{"start": 165.19, "end": 165.69, "word": "ببنى", "probability": 0.65692138671875}, {"start": 165.69, "end": 166.47, "word": " integration", "probability": 0.916015625}, {"start": 166.47, "end": 167.17, "word": " لـ", "probability": 0.654296875}, {"start": 167.17, "end": 167.69, "word": " dx", "probability": 0.53173828125}, {"start": 167.69, "end": 168.27, "word": " على", "probability": 0.62548828125}, {"start": 168.27, "end": 172.19, "word": " ال", "probability": 0.5517578125}, {"start": 172.19, "end": 172.69, "word": " square", "probability": 0.705078125}, {"start": 172.69, "end": 173.57, "word": " root", "probability": 0.8603515625}, {"start": 173.57, "end": 174.59, "word": " الجذر", "probability": 0.8154296875}, {"start": 174.59, "end": 175.67, "word": " التربيعى", "probability": 0.78115234375}, {"start": 175.67, "end": 175.95, "word": " لل", "probability": 0.448974609375}, {"start": 175.95, "end": 177.17, "word": " X²", "probability": 0.4061279296875}, {"start": 177.17, "end": 178.29, "word": " نقص", "probability": 0.7128092447916666}, {"start": 178.29, "end": 179.35, "word": " عشرة", "probability": 0.80810546875}, {"start": 179.35, "end": 179.91, "word": " X", "probability": 0.92138671875}, {"start": 179.91, "end": 181.37, "word": " زائد", "probability": 0.8816731770833334}, {"start": 181.37, "end": 182.39, "word": " اربعة", "probability": 0.8164876302083334}, {"start": 182.39, "end": 182.75, "word": " و", "probability": 0.7177734375}, {"start": 182.75, "end": 183.99, "word": " تلاتين", "probability": 0.917236328125}, {"start": 183.99, "end": 185.41, "word": " هذا", "probability": 0.888671875}, {"start": 185.41, "end": 185.99, "word": " الكلام", "probability": 0.9654947916666666}, {"start": 185.99, "end": 186.79, "word": " يساوي", "probability": 0.9166259765625}, {"start": 186.79, "end": 187.79, "word": " تكامل", "probability": 0.9813232421875}, {"start": 187.79, "end": 188.75, "word": " DX", "probability": 0.82958984375}, {"start": 188.75, "end": 189.59, "word": " على", "probability": 0.79736328125}, {"start": 189.59, "end": 190.25, "word": " الجذر", "probability": 0.9376627604166666}, {"start": 190.25, "end": 191.15, "word": " التربيعى", "probability": 0.97587890625}], "temperature": 1.0}, {"id": 9, "seek": 21972, "start": 191.82, "end": 219.72, "text": "من حد ما أشوف مقدار ثلاثي بنتسأل هل هو هذا مربع كامل ولا ما هواش مربع كامل إذا مربع كامل كان بيها مش مربع كامل بنحول مسألتنا إلى مربع كامل فباجي بقول هذه x تربيها ناقص عشرة x زائد قداش بده هذا المقدار مشان يصير مربع كامل خمسة وعشرين خمسة وعشرين موجودة عند الجران؟", "tokens": [27842, 11331, 3215, 19446, 5551, 8592, 38688, 3714, 28543, 9640, 38637, 1211, 5718, 104, 1829, 44945, 2655, 3794, 10721, 1211, 8032, 1211, 31439, 23758, 3714, 25513, 3615, 9122, 10943, 1211, 49429, 19446, 31439, 33599, 3714, 25513, 3615, 9122, 10943, 1211, 11933, 15730, 3714, 25513, 3615, 9122, 10943, 1211, 25961, 4724, 1829, 11296, 37893, 3714, 25513, 3615, 9122, 10943, 1211, 44945, 5016, 12610, 47524, 10721, 1211, 2655, 8315, 30731, 3714, 25513, 3615, 9122, 10943, 1211, 6156, 3555, 26108, 1829, 4724, 39648, 29538, 2031, 6055, 2288, 21292, 11296, 8717, 995, 4587, 9381, 6225, 8592, 25720, 2031, 30767, 16373, 3215, 12174, 3215, 33599, 47525, 3224, 23758, 9673, 28543, 9640, 37893, 7649, 7251, 9381, 13546, 3714, 25513, 3615, 9122, 10943, 1211, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 3714, 29245, 23328, 3660, 43242, 25724, 2288, 7649, 22807], "avg_logprob": -0.18509615947316577, "compression_ratio": 2.211267605633803, "no_speech_prob": 0.0, "words": [{"start": 191.82, "end": 192.1, "word": "من", "probability": 0.4755859375}, {"start": 192.1, "end": 192.42, "word": " حد", "probability": 0.5623779296875}, {"start": 192.42, "end": 192.52, "word": " ما", "probability": 0.96728515625}, {"start": 192.52, "end": 192.86, "word": " أشوف", "probability": 0.6273600260416666}, {"start": 192.86, "end": 193.46, "word": " مقدار", "probability": 0.86474609375}, {"start": 193.46, "end": 194.08, "word": " ثلاثي", "probability": 0.8916015625}, {"start": 194.08, "end": 194.9, "word": " بنتسأل", "probability": 0.729052734375}, {"start": 194.9, "end": 195.22, "word": " هل", "probability": 0.94482421875}, {"start": 195.22, "end": 195.46, "word": " هو", "probability": 0.93310546875}, {"start": 195.46, "end": 195.82, "word": " هذا", "probability": 0.79736328125}, {"start": 195.82, "end": 196.42, "word": " مربع", "probability": 0.9851888020833334}, {"start": 196.42, "end": 196.92, "word": " كامل", "probability": 0.9933268229166666}, {"start": 196.92, "end": 197.18, "word": " ولا", "probability": 0.317626953125}, {"start": 197.18, "end": 197.42, "word": " ما", "probability": 0.89013671875}, {"start": 197.42, "end": 197.88, "word": " هواش", "probability": 0.6923828125}, {"start": 197.88, "end": 198.44, "word": " مربع", "probability": 0.9951171875}, {"start": 198.44, "end": 198.92, "word": " كامل", "probability": 0.99658203125}, {"start": 198.92, "end": 199.5, "word": " إذا", "probability": 0.765380859375}, {"start": 199.5, "end": 200.04, "word": " مربع", "probability": 0.892578125}, {"start": 200.04, "end": 200.42, "word": " كامل", "probability": 0.9959309895833334}, {"start": 200.42, "end": 200.66, "word": " كان", "probability": 0.91748046875}, {"start": 200.66, "end": 200.98, "word": " بيها", "probability": 0.742431640625}, {"start": 200.98, "end": 201.16, "word": " مش", "probability": 0.9716796875}, {"start": 201.16, "end": 201.68, "word": " مربع", "probability": 0.9949544270833334}, {"start": 201.68, "end": 202.12, "word": " كامل", "probability": 0.99755859375}, {"start": 202.12, "end": 202.74, "word": " بنحول", "probability": 0.6670735677083334}, {"start": 202.74, "end": 203.66, "word": " مسألتنا", "probability": 0.9462890625}, {"start": 203.66, "end": 204.24, "word": " إلى", "probability": 0.8681640625}, {"start": 204.24, "end": 205.06, "word": " مربع", "probability": 0.99609375}, {"start": 205.06, "end": 205.68, "word": " كامل", "probability": 0.9982096354166666}, {"start": 205.68, "end": 206.66, "word": " فباجي", "probability": 0.8311767578125}, {"start": 206.66, "end": 207.04, "word": " بقول", "probability": 0.9736328125}, {"start": 207.04, "end": 207.44, "word": " هذه", "probability": 0.52685546875}, {"start": 207.44, "end": 207.9, "word": " x", "probability": 0.395263671875}, {"start": 207.9, "end": 208.58, "word": " تربيها", "probability": 0.6854248046875}, {"start": 208.58, "end": 209.24, "word": " ناقص", "probability": 0.908447265625}, {"start": 209.24, "end": 209.82, "word": " عشرة", "probability": 0.8810221354166666}, {"start": 209.82, "end": 210.2, "word": " x", "probability": 0.88720703125}, {"start": 210.2, "end": 211.52, "word": " زائد", "probability": 0.9436848958333334}, {"start": 211.52, "end": 212.38, "word": " قداش", "probability": 0.666015625}, {"start": 212.38, "end": 212.8, "word": " بده", "probability": 0.623291015625}, {"start": 212.8, "end": 213.0, "word": " هذا", "probability": 0.75927734375}, {"start": 213.0, "end": 213.52, "word": " المقدار", "probability": 0.9124348958333334}, {"start": 213.52, "end": 213.86, "word": " مشان", "probability": 0.78515625}, {"start": 213.86, "end": 214.16, "word": " يصير", "probability": 0.9694010416666666}, {"start": 214.16, "end": 214.7, "word": " مربع", "probability": 0.99560546875}, {"start": 214.7, "end": 215.32, "word": " كامل", "probability": 0.9978841145833334}, {"start": 215.32, "end": 216.34, "word": " خمسة", "probability": 0.806884765625}, {"start": 216.34, "end": 216.94, "word": " وعشرين", "probability": 0.8343505859375}, {"start": 216.94, "end": 217.78, "word": " خمسة", "probability": 0.915283203125}, {"start": 217.78, "end": 218.22, "word": " وعشرين", "probability": 0.9697265625}, {"start": 218.22, "end": 218.72, "word": " موجودة", "probability": 0.8377685546875}, {"start": 218.72, "end": 218.92, "word": " عند", "probability": 0.990234375}, {"start": 218.92, "end": 219.72, "word": " الجران؟", "probability": 0.8280029296875}], "temperature": 1.0}, {"id": 10, "seek": 23916, "start": 220.34, "end": 239.16, "text": "بنروها من إشحتها منهم و بناخدها لما نقل الله يحلها يبقى ايه؟ خمسة و عشرين بضل قداش من الاربعة و تلاتين تسعة يبقى زائد تسعة إذا كتبنا الاربعة و تلاتين هي عبارة عن خمسة و عشرين زائد تسعة", "tokens": [3555, 1863, 32887, 11296, 9154, 11933, 8592, 33753, 11296, 9154, 16095, 4032, 44945, 47283, 3215, 11296, 5296, 15042, 8717, 4587, 1211, 21984, 7251, 5016, 1211, 11296, 7251, 3555, 4587, 7578, 1975, 1829, 3224, 22807, 16490, 2304, 3794, 3660, 4032, 6225, 46309, 9957, 4724, 11242, 1211, 12174, 3215, 33599, 9154, 2423, 9640, 3555, 27884, 4032, 6055, 1211, 9307, 9957, 6055, 3794, 27884, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 6055, 3794, 27884, 11933, 15730, 9122, 2655, 3555, 8315, 2423, 9640, 3555, 27884, 4032, 6055, 1211, 9307, 9957, 39896, 6225, 3555, 9640, 3660, 18871, 16490, 2304, 3794, 3660, 4032, 6225, 46309, 9957, 30767, 16373, 3215, 6055, 3794, 27884], "avg_logprob": -0.1743574716220392, "compression_ratio": 2.0559006211180124, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 220.34, "end": 220.96, "word": "بنروها", "probability": 0.7724609375}, {"start": 220.96, "end": 221.1, "word": " من", "probability": 0.77294921875}, {"start": 221.1, "end": 221.58, "word": " إشحتها", "probability": 0.7392578125}, {"start": 221.58, "end": 222.08, "word": " منهم", "probability": 0.99267578125}, {"start": 222.08, "end": 222.62, "word": " و", "probability": 0.5048828125}, {"start": 222.62, "end": 223.5, "word": " بناخدها", "probability": 0.904541015625}, {"start": 223.5, "end": 224.1, "word": " لما", "probability": 0.883056640625}, {"start": 224.1, "end": 224.32, "word": " نقل", "probability": 0.65625}, {"start": 224.32, "end": 224.5, "word": " الله", "probability": 0.82373046875}, {"start": 224.5, "end": 225.16, "word": " يحلها", "probability": 0.9722900390625}, {"start": 225.16, "end": 225.94, "word": " يبقى", "probability": 0.926513671875}, {"start": 225.94, "end": 226.24, "word": " ايه؟", "probability": 0.701446533203125}, {"start": 226.24, "end": 226.72, "word": " خمسة", "probability": 0.915283203125}, {"start": 226.72, "end": 226.84, "word": " و", "probability": 0.9521484375}, {"start": 226.84, "end": 227.44, "word": " عشرين", "probability": 0.76513671875}, {"start": 227.44, "end": 228.34, "word": " بضل", "probability": 0.5574544270833334}, {"start": 228.34, "end": 228.72, "word": " قداش", "probability": 0.701171875}, {"start": 228.72, "end": 228.88, "word": " من", "probability": 0.91162109375}, {"start": 228.88, "end": 229.32, "word": " الاربعة", "probability": 0.7994384765625}, {"start": 229.32, "end": 229.36, "word": " و", "probability": 0.44091796875}, {"start": 229.36, "end": 230.04, "word": " تلاتين", "probability": 0.9136962890625}, {"start": 230.04, "end": 230.9, "word": " تسعة", "probability": 0.9552408854166666}, {"start": 230.9, "end": 231.96, "word": " يبقى", "probability": 0.9547119140625}, {"start": 231.96, "end": 232.66, "word": " زائد", "probability": 0.7916666666666666}, {"start": 232.66, "end": 233.06, "word": " تسعة", "probability": 0.9912109375}, {"start": 233.06, "end": 233.44, "word": " إذا", "probability": 0.599609375}, {"start": 233.44, "end": 234.06, "word": " كتبنا", "probability": 0.974365234375}, {"start": 234.06, "end": 234.56, "word": " الاربعة", "probability": 0.9365234375}, {"start": 234.56, "end": 234.64, "word": " و", "probability": 0.970703125}, {"start": 234.64, "end": 235.3, "word": " تلاتين", "probability": 0.9827880859375}, {"start": 235.3, "end": 235.9, "word": " هي", "probability": 0.88623046875}, {"start": 235.9, "end": 236.32, "word": " عبارة", "probability": 0.996826171875}, {"start": 236.32, "end": 236.5, "word": " عن", "probability": 0.98876953125}, {"start": 236.5, "end": 236.96, "word": " خمسة", "probability": 0.994140625}, {"start": 236.96, "end": 237.06, "word": " و", "probability": 0.99658203125}, {"start": 237.06, "end": 237.74, "word": " عشرين", "probability": 0.9591471354166666}, {"start": 237.74, "end": 238.56, "word": " زائد", "probability": 0.908203125}, {"start": 238.56, "end": 239.16, "word": " تسعة", "probability": 0.9944661458333334}], "temperature": 1.0}, {"id": 11, "seek": 26112, "start": 239.34, "end": 261.12, "text": "يبقى integration لدي x على الجدري التربيهي ل X ناقص خمسة لكل تربيه هذا هو المربع الكامل زائد مين زائد بصيت DW على الجدري التربيهي لW تربيه زائد تسعة هيتكملها عبارة عن ايش", "tokens": [1829, 3555, 4587, 7578, 10980, 5296, 16254, 2031, 15844, 25724, 3215, 16572, 16712, 2288, 21292, 3224, 1829, 5296, 1783, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 5296, 28820, 6055, 2288, 21292, 3224, 23758, 31439, 9673, 25513, 3615, 33251, 10943, 1211, 30767, 16373, 3215, 3714, 9957, 30767, 16373, 3215, 4724, 9381, 36081, 45318, 15844, 25724, 3215, 16572, 16712, 2288, 21292, 3224, 1829, 5296, 54, 6055, 2288, 21292, 3224, 30767, 16373, 3215, 6055, 3794, 27884, 8032, 36081, 24793, 1211, 11296, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 8592], "avg_logprob": -0.28657669438557193, "compression_ratio": 1.7380952380952381, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 239.34, "end": 240.06, "word": "يبقى", "probability": 0.771728515625}, {"start": 240.06, "end": 241.06, "word": " integration", "probability": 0.91015625}, {"start": 241.06, "end": 242.18, "word": " لدي", "probability": 0.36541748046875}, {"start": 242.18, "end": 242.72, "word": " x", "probability": 0.62255859375}, {"start": 242.72, "end": 243.4, "word": " على", "probability": 0.77490234375}, {"start": 243.4, "end": 244.06, "word": " الجدري", "probability": 0.7620442708333334}, {"start": 244.06, "end": 245.14, "word": " التربيهي", "probability": 0.7376953125}, {"start": 245.14, "end": 245.58, "word": " ل", "probability": 0.67529296875}, {"start": 245.58, "end": 245.98, "word": " X", "probability": 0.164794921875}, {"start": 245.98, "end": 246.64, "word": " ناقص", "probability": 0.89111328125}, {"start": 246.64, "end": 247.74, "word": " خمسة", "probability": 0.93994140625}, {"start": 247.74, "end": 248.28, "word": " لكل", "probability": 0.91943359375}, {"start": 248.28, "end": 249.0, "word": " تربيه", "probability": 0.77935791015625}, {"start": 249.0, "end": 249.38, "word": " هذا", "probability": 0.6162109375}, {"start": 249.38, "end": 249.8, "word": " هو", "probability": 0.96142578125}, {"start": 249.8, "end": 250.64, "word": " المربع", "probability": 0.9775390625}, {"start": 250.64, "end": 251.44, "word": " الكامل", "probability": 0.9427083333333334}, {"start": 251.44, "end": 253.12, "word": " زائد", "probability": 0.6499837239583334}, {"start": 253.12, "end": 253.6, "word": " مين", "probability": 0.689453125}, {"start": 253.6, "end": 254.62, "word": " زائد", "probability": 0.9371744791666666}, {"start": 254.62, "end": 255.16, "word": " بصيت", "probability": 0.62841796875}, {"start": 255.16, "end": 255.52, "word": " DW", "probability": 0.58251953125}, {"start": 255.52, "end": 255.98, "word": " على", "probability": 0.60986328125}, {"start": 255.98, "end": 256.3, "word": " الجدري", "probability": 0.9365234375}, {"start": 256.3, "end": 256.66, "word": " التربيهي", "probability": 0.95830078125}, {"start": 256.66, "end": 257.06, "word": " لW", "probability": 0.610107421875}, {"start": 257.06, "end": 257.56, "word": " تربيه", "probability": 0.82861328125}, {"start": 257.56, "end": 258.28, "word": " زائد", "probability": 0.9534505208333334}, {"start": 258.28, "end": 259.2, "word": " تسعة", "probability": 0.94775390625}, {"start": 259.2, "end": 260.26, "word": " هيتكملها", "probability": 0.67646484375}, {"start": 260.26, "end": 260.6, "word": " عبارة", "probability": 0.940673828125}, {"start": 260.6, "end": 260.76, "word": " عن", "probability": 0.97412109375}, {"start": 260.76, "end": 261.12, "word": " ايش", "probability": 0.7552897135416666}], "temperature": 1.0}, {"id": 12, "seek": 28904, "start": 264.02, "end": 289.04, "text": "Inverse main لل X ناقص خمسة كلها تلاتة زائد كرستان C التكامل الثالث بدنا تكامل لمين لكوتان X على الجذري التربيهي لخمسة ناقص sign تربيه ال X دي X", "tokens": [4575, 4308, 2135, 24976, 1783, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 28242, 11296, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 9122, 2288, 14851, 7649, 383, 16712, 4117, 10943, 1211, 6024, 104, 6027, 12984, 47525, 8315, 6055, 4117, 10943, 1211, 32767, 9957, 5296, 4117, 35473, 7649, 1783, 15844, 25724, 8848, 16572, 16712, 2288, 21292, 3224, 1829, 5296, 9778, 2304, 3794, 3660, 8717, 995, 4587, 9381, 1465, 6055, 2288, 21292, 3224, 2423, 1783, 11778, 1829, 1783], "avg_logprob": -0.2475649319685899, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 264.02, "end": 265.18, "word": "Inverse", "probability": 0.54736328125}, {"start": 265.18, "end": 265.62, "word": " main", "probability": 0.2493896484375}, {"start": 265.62, "end": 266.4, "word": " لل", "probability": 0.65380859375}, {"start": 266.4, "end": 266.98, "word": " X", "probability": 0.4013671875}, {"start": 266.98, "end": 267.72, "word": " ناقص", "probability": 0.9097900390625}, {"start": 267.72, "end": 268.48, "word": " خمسة", "probability": 0.9522705078125}, {"start": 268.48, "end": 269.3, "word": " كلها", "probability": 0.874267578125}, {"start": 269.3, "end": 270.2, "word": " تلاتة", "probability": 0.9437255859375}, {"start": 270.2, "end": 271.32, "word": " زائد", "probability": 0.8375651041666666}, {"start": 271.32, "end": 272.2, "word": " كرستان", "probability": 0.5419921875}, {"start": 272.2, "end": 272.62, "word": " C", "probability": 0.70263671875}, {"start": 272.62, "end": 274.26, "word": " التكامل", "probability": 0.9744873046875}, {"start": 274.26, "end": 275.2, "word": " الثالث", "probability": 0.9791259765625}, {"start": 275.2, "end": 276.08, "word": " بدنا", "probability": 0.76806640625}, {"start": 276.08, "end": 277.36, "word": " تكامل", "probability": 0.9866943359375}, {"start": 277.36, "end": 278.54, "word": " لمين", "probability": 0.6976318359375}, {"start": 278.54, "end": 280.18, "word": " لكوتان", "probability": 0.6339111328125}, {"start": 280.18, "end": 280.8, "word": " X", "probability": 0.97607421875}, {"start": 280.8, "end": 281.78, "word": " على", "probability": 0.81298828125}, {"start": 281.78, "end": 282.84, "word": " الجذري", "probability": 0.6728515625}, {"start": 282.84, "end": 283.84, "word": " التربيهي", "probability": 0.853515625}, {"start": 283.84, "end": 285.4, "word": " لخمسة", "probability": 0.94189453125}, {"start": 285.4, "end": 286.38, "word": " ناقص", "probability": 0.99267578125}, {"start": 286.38, "end": 286.78, "word": " sign", "probability": 0.20751953125}, {"start": 286.78, "end": 287.58, "word": " تربيه", "probability": 0.8831787109375}, {"start": 287.58, "end": 287.76, "word": " ال", "probability": 0.70068359375}, {"start": 287.76, "end": 288.24, "word": " X", "probability": 0.86279296875}, {"start": 288.24, "end": 288.76, "word": " دي", "probability": 0.6654052734375}, {"start": 288.76, "end": 289.04, "word": " X", "probability": 0.94873046875}], "temperature": 1.0}, {"id": 13, "seek": 31189, "start": 291.21, "end": 311.89, "text": "طبعا، على نظر للسؤال هذا لأول وهلة، بقولك طب احنا في الدوال الزائدية وهذا دوال سؤال كله دوال متلاتية، وكأنه اتنين بيقربوش لبعض تماما، بس احنا بنقول احنا بهمناش متلاتية ولا زائدية، بهمنا الجذر وما تحت الجذر", "tokens": [9566, 3555, 3615, 995, 12399, 15844, 8717, 19913, 2288, 24976, 3794, 33604, 6027, 23758, 5296, 10721, 12610, 4032, 3224, 37977, 12399, 4724, 39648, 4117, 23032, 3555, 1975, 5016, 8315, 8978, 32748, 2407, 6027, 6024, 110, 16373, 3215, 10632, 37037, 15730, 11778, 2407, 6027, 8608, 33604, 6027, 28242, 3224, 11778, 2407, 6027, 44650, 1211, 9307, 10632, 12399, 4032, 4117, 33456, 3224, 1975, 2655, 1863, 9957, 4724, 1829, 4587, 25513, 2407, 8592, 5296, 3555, 3615, 11242, 46811, 10943, 995, 12399, 4724, 3794, 1975, 5016, 8315, 44945, 39648, 1975, 5016, 8315, 4724, 16095, 1863, 33599, 44650, 1211, 9307, 10632, 49429, 30767, 16373, 3215, 10632, 12399, 4724, 16095, 8315, 25724, 8848, 2288, 4032, 15042, 6055, 33753, 25724, 8848, 2288], "avg_logprob": -0.21080280686246938, "compression_ratio": 1.9581151832460733, "no_speech_prob": 0.0, "words": [{"start": 291.21, "end": 291.67, "word": "طبعا،", "probability": 0.75703125}, {"start": 291.67, "end": 291.71, "word": " على", "probability": 0.76904296875}, {"start": 291.71, "end": 292.03, "word": " نظر", "probability": 0.876953125}, {"start": 292.03, "end": 292.61, "word": " للسؤال", "probability": 0.92578125}, {"start": 292.61, "end": 292.93, "word": " هذا", "probability": 0.9443359375}, {"start": 292.93, "end": 293.51, "word": " لأول", "probability": 0.7596028645833334}, {"start": 293.51, "end": 294.65, "word": " وهلة،", "probability": 0.677734375}, {"start": 294.65, "end": 294.95, "word": " بقولك", "probability": 0.690673828125}, {"start": 294.95, "end": 295.17, "word": " طب", "probability": 0.8466796875}, {"start": 295.17, "end": 295.41, "word": " احنا", "probability": 0.8821614583333334}, {"start": 295.41, "end": 295.63, "word": " في", "probability": 0.9208984375}, {"start": 295.63, "end": 296.05, "word": " الدوال", "probability": 0.8917643229166666}, {"start": 296.05, "end": 296.77, "word": " الزائدية", "probability": 0.81435546875}, {"start": 296.77, "end": 297.13, "word": " وهذا", "probability": 0.625244140625}, {"start": 297.13, "end": 297.47, "word": " دوال", "probability": 0.6808268229166666}, {"start": 297.47, "end": 298.11, "word": " سؤال", "probability": 0.78369140625}, {"start": 298.11, "end": 298.61, "word": " كله", "probability": 0.927734375}, {"start": 298.61, "end": 299.93, "word": " دوال", "probability": 0.7607421875}, {"start": 299.93, "end": 301.21, "word": " متلاتية،", "probability": 0.774755859375}, {"start": 301.21, "end": 301.91, "word": " وكأنه", "probability": 0.8961181640625}, {"start": 301.91, "end": 302.29, "word": " اتنين", "probability": 0.952392578125}, {"start": 302.29, "end": 302.89, "word": " بيقربوش", "probability": 0.811767578125}, {"start": 302.89, "end": 303.51, "word": " لبعض", "probability": 0.9610595703125}, {"start": 303.51, "end": 304.47, "word": " تماما،", "probability": 0.86279296875}, {"start": 304.47, "end": 305.31, "word": " بس", "probability": 0.579833984375}, {"start": 305.31, "end": 305.57, "word": " احنا", "probability": 0.9523111979166666}, {"start": 305.57, "end": 306.01, "word": " بنقول", "probability": 0.90283203125}, {"start": 306.01, "end": 306.33, "word": " احنا", "probability": 0.951171875}, {"start": 306.33, "end": 307.01, "word": " بهمناش", "probability": 0.8050537109375}, {"start": 307.01, "end": 307.71, "word": " متلاتية", "probability": 0.9022216796875}, {"start": 307.71, "end": 307.91, "word": " ولا", "probability": 0.93896484375}, {"start": 307.91, "end": 308.51, "word": " زائدية،", "probability": 0.9615234375}, {"start": 308.51, "end": 308.95, "word": " بهمنا", "probability": 0.8912760416666666}, {"start": 308.95, "end": 309.55, "word": " الجذر", "probability": 0.83544921875}, {"start": 309.55, "end": 310.55, "word": " وما", "probability": 0.91943359375}, {"start": 310.55, "end": 311.29, "word": " تحت", "probability": 0.99755859375}, {"start": 311.29, "end": 311.89, "word": " الجذر", "probability": 0.9889322916666666}], "temperature": 1.0}, {"id": 14, "seek": 33925, "start": 312.57, "end": 339.25, "text": "لكن إحنا عندنا الـSin فوق الـCot يبقى بتروح أكتب الـCot بدلالة مين؟ بدلالة الـSin وكذلك مين الـCos يبقى هذه بدها تساوي تكامل لـCos X على مين؟ على Sin X في الجدر التربية لخمسة ناقص Sin Square X كله في DX", "tokens": [1211, 19452, 11933, 5016, 8315, 43242, 8315, 2423, 39184, 50, 259, 6156, 30543, 2423, 39184, 34, 310, 7251, 3555, 4587, 7578, 39894, 32887, 5016, 5551, 4117, 2655, 3555, 2423, 39184, 34, 310, 47525, 1211, 6027, 3660, 3714, 9957, 22807, 47525, 1211, 6027, 3660, 2423, 39184, 50, 259, 4032, 4117, 8848, 23275, 3714, 9957, 2423, 39184, 34, 329, 7251, 3555, 4587, 7578, 29538, 47525, 11296, 6055, 3794, 995, 45865, 6055, 4117, 10943, 1211, 5296, 39184, 34, 329, 1783, 15844, 3714, 9957, 22807, 15844, 11187, 1783, 8978, 25724, 3215, 2288, 16712, 25513, 10632, 5296, 9778, 2304, 3794, 3660, 8717, 995, 4587, 9381, 11187, 16463, 1783, 28242, 3224, 8978, 48817], "avg_logprob": -0.2255497638274122, "compression_ratio": 1.7098445595854923, "no_speech_prob": 0.0, "words": [{"start": 312.57, "end": 313.25, "word": "لكن", "probability": 0.7298583984375}, {"start": 313.25, "end": 313.71, "word": " إحنا", "probability": 0.6627604166666666}, {"start": 313.71, "end": 314.13, "word": " عندنا", "probability": 0.7376708984375}, {"start": 314.13, "end": 314.51, "word": " الـSin", "probability": 0.60308837890625}, {"start": 314.51, "end": 314.97, "word": " فوق", "probability": 0.8056640625}, {"start": 314.97, "end": 315.27, "word": " الـCot", "probability": 0.64990234375}, {"start": 315.27, "end": 315.67, "word": " يبقى", "probability": 0.8775634765625}, {"start": 315.67, "end": 316.07, "word": " بتروح", "probability": 0.776123046875}, {"start": 316.07, "end": 316.71, "word": " أكتب", "probability": 0.9105224609375}, {"start": 316.71, "end": 317.41, "word": " الـCot", "probability": 0.9481201171875}, {"start": 317.41, "end": 318.33, "word": " بدلالة", "probability": 0.9122314453125}, {"start": 318.33, "end": 318.83, "word": " مين؟", "probability": 0.6839192708333334}, {"start": 318.83, "end": 319.99, "word": " بدلالة", "probability": 0.98828125}, {"start": 319.99, "end": 320.63, "word": " الـSin", "probability": 0.9510498046875}, {"start": 320.63, "end": 321.83, "word": " وكذلك", "probability": 0.907470703125}, {"start": 321.83, "end": 322.25, "word": " مين", "probability": 0.942138671875}, {"start": 322.25, "end": 323.59, "word": " الـCos", "probability": 0.9061279296875}, {"start": 323.59, "end": 324.53, "word": " يبقى", "probability": 0.93115234375}, {"start": 324.53, "end": 324.91, "word": " هذه", "probability": 0.357666015625}, {"start": 324.91, "end": 325.39, "word": " بدها", "probability": 0.866943359375}, {"start": 325.39, "end": 325.87, "word": " تساوي", "probability": 0.8614501953125}, {"start": 325.87, "end": 326.85, "word": " تكامل", "probability": 0.9342041015625}, {"start": 326.85, "end": 328.45, "word": " لـCos", "probability": 0.86962890625}, {"start": 328.45, "end": 329.25, "word": " X", "probability": 0.67431640625}, {"start": 329.25, "end": 329.99, "word": " على", "probability": 0.73291015625}, {"start": 329.99, "end": 330.59, "word": " مين؟", "probability": 0.9265950520833334}, {"start": 330.59, "end": 330.99, "word": " على", "probability": 0.8876953125}, {"start": 330.99, "end": 331.65, "word": " Sin", "probability": 0.360595703125}, {"start": 331.65, "end": 332.31, "word": " X", "probability": 0.98583984375}, {"start": 332.31, "end": 332.85, "word": " في", "probability": 0.8857421875}, {"start": 332.85, "end": 333.37, "word": " الجدر", "probability": 0.8997395833333334}, {"start": 333.37, "end": 334.05, "word": " التربية", "probability": 0.6708170572916666}, {"start": 334.05, "end": 334.95, "word": " لخمسة", "probability": 0.7921875}, {"start": 334.95, "end": 335.61, "word": " ناقص", "probability": 0.89697265625}, {"start": 335.61, "end": 335.99, "word": " Sin", "probability": 0.57763671875}, {"start": 335.99, "end": 336.63, "word": " Square", "probability": 0.5673828125}, {"start": 336.63, "end": 337.19, "word": " X", "probability": 0.9833984375}, {"start": 337.19, "end": 338.63, "word": " كله", "probability": 0.874267578125}, {"start": 338.63, "end": 338.81, "word": " في", "probability": 0.97998046875}, {"start": 338.81, "end": 339.25, "word": " DX", "probability": 0.80908203125}], "temperature": 1.0}, {"id": 15, "seek": 36179, "start": 340.15, "end": 361.79, "text": "ممكن الان اشيل ال sign ال X و احطها باي variable اخر فمثلا لو جينا حطينا هذا مثل ال W تساوي ال sign ال X يبقى دي W ابقى ال sign ال X دي X يبقى آلة المسألة الى التكامل التالي", "tokens": [2304, 43020, 2423, 7649, 1975, 8592, 26895, 2423, 1465, 2423, 1783, 4032, 1975, 5016, 9566, 11296, 4724, 47302, 7006, 1975, 34740, 6156, 2304, 12984, 15040, 45164, 10874, 1829, 8315, 11331, 9566, 1829, 8315, 23758, 50113, 1211, 2423, 343, 6055, 3794, 995, 45865, 2423, 1465, 2423, 1783, 7251, 3555, 4587, 7578, 11778, 1829, 343, 1975, 3555, 4587, 7578, 2423, 1465, 2423, 1783, 11778, 1829, 1783, 7251, 3555, 4587, 7578, 19753, 37977, 9673, 3794, 10721, 37977, 2423, 7578, 16712, 4117, 10943, 1211, 16712, 6027, 1829], "avg_logprob": -0.28236606113967444, "compression_ratio": 1.75, "no_speech_prob": 0.0, "words": [{"start": 340.15, "end": 340.77, "word": "ممكن", "probability": 0.7083740234375}, {"start": 340.77, "end": 341.19, "word": " الان", "probability": 0.570556640625}, {"start": 341.19, "end": 341.73, "word": " اشيل", "probability": 0.8152669270833334}, {"start": 341.73, "end": 341.89, "word": " ال", "probability": 0.3955078125}, {"start": 341.89, "end": 342.13, "word": " sign", "probability": 0.26416015625}, {"start": 342.13, "end": 342.29, "word": " ال", "probability": 0.435791015625}, {"start": 342.29, "end": 342.53, "word": " X", "probability": 0.470458984375}, {"start": 342.53, "end": 342.73, "word": " و", "probability": 0.84765625}, {"start": 342.73, "end": 343.17, "word": " احطها", "probability": 0.6566162109375}, {"start": 343.17, "end": 343.73, "word": " باي", "probability": 0.71435546875}, {"start": 343.73, "end": 344.33, "word": " variable", "probability": 0.890625}, {"start": 344.33, "end": 344.95, "word": " اخر", "probability": 0.871337890625}, {"start": 344.95, "end": 346.03, "word": " فمثلا", "probability": 0.8953857421875}, {"start": 346.03, "end": 346.85, "word": " لو", "probability": 0.92919921875}, {"start": 346.85, "end": 347.23, "word": " جينا", "probability": 0.9619140625}, {"start": 347.23, "end": 348.23, "word": " حطينا", "probability": 0.8284912109375}, {"start": 348.23, "end": 348.93, "word": " هذا", "probability": 0.179931640625}, {"start": 348.93, "end": 349.77, "word": " مثل", "probability": 0.70068359375}, {"start": 349.77, "end": 349.97, "word": " ال", "probability": 0.8251953125}, {"start": 349.97, "end": 350.61, "word": " W", "probability": 0.70166015625}, {"start": 350.61, "end": 351.75, "word": " تساوي", "probability": 0.8707275390625}, {"start": 351.75, "end": 351.97, "word": " ال", "probability": 0.890625}, {"start": 351.97, "end": 352.33, "word": " sign", "probability": 0.896484375}, {"start": 352.33, "end": 352.59, "word": " ال", "probability": 0.85107421875}, {"start": 352.59, "end": 352.89, "word": " X", "probability": 0.98388671875}, {"start": 352.89, "end": 353.79, "word": " يبقى", "probability": 0.929443359375}, {"start": 353.79, "end": 354.09, "word": " دي", "probability": 0.59765625}, {"start": 354.09, "end": 354.81, "word": " W", "probability": 0.69287109375}, {"start": 354.81, "end": 355.69, "word": " ابقى", "probability": 0.592041015625}, {"start": 355.69, "end": 355.83, "word": " ال", "probability": 0.513671875}, {"start": 355.83, "end": 356.21, "word": " sign", "probability": 0.9150390625}, {"start": 356.21, "end": 356.53, "word": " ال", "probability": 0.9130859375}, {"start": 356.53, "end": 356.91, "word": " X", "probability": 0.97314453125}, {"start": 356.91, "end": 357.25, "word": " دي", "probability": 0.860107421875}, {"start": 357.25, "end": 357.59, "word": " X", "probability": 0.97802734375}, {"start": 357.59, "end": 358.49, "word": " يبقى", "probability": 0.9688720703125}, {"start": 358.49, "end": 358.95, "word": " آلة", "probability": 0.748046875}, {"start": 358.95, "end": 359.83, "word": " المسألة", "probability": 0.9810791015625}, {"start": 359.83, "end": 360.13, "word": " الى", "probability": 0.853271484375}, {"start": 360.13, "end": 361.07, "word": " التكامل", "probability": 0.973876953125}, {"start": 361.07, "end": 361.79, "word": " التالي", "probability": 0.9147135416666666}], "temperature": 1.0}, {"id": 16, "seek": 37411, "start": 368.11, "end": 374.11, "text": "والجدري التربيهي لخمسة ماقص w تربيه", "tokens": [2407, 6027, 7435, 3215, 16572, 16712, 2288, 21292, 3224, 1829, 5296, 9778, 2304, 3794, 3660, 19446, 4587, 9381, 261, 6055, 2288, 21292, 3224], "avg_logprob": -0.5351562723517418, "compression_ratio": 1.0666666666666667, "no_speech_prob": 0.0, "words": [{"start": 368.11, "end": 369.51, "word": "والجدري", "probability": 0.4263671875}, {"start": 369.51, "end": 370.41, "word": " التربيهي", "probability": 0.66796875}, {"start": 370.41, "end": 371.83, "word": " لخمسة", "probability": 0.756787109375}, {"start": 371.83, "end": 372.77, "word": " ماقص", "probability": 0.7364908854166666}, {"start": 372.77, "end": 373.41, "word": " w", "probability": 0.432373046875}, {"start": 373.41, "end": 374.11, "word": " تربيه", "probability": 0.6976318359375}], "temperature": 1.0}, {"id": 17, "seek": 39798, "start": 374.78, "end": 397.98, "text": "مين تكابل هذه مين؟ مين من معكوس الدول الزائدية؟ Sich inverse يبقى هذا الكلام يساوي سالم واحد على جدر خمسة Sich inverse لمين؟ ل W على جدر خمسة زائد Constantin", "tokens": [2304, 9957, 6055, 4117, 16758, 1211, 29538, 3714, 9957, 22807, 3714, 9957, 9154, 20449, 4117, 41779, 32748, 12610, 6024, 110, 16373, 3215, 10632, 22807, 47135, 17340, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 8608, 45340, 36764, 24401, 15844, 10874, 3215, 2288, 16490, 2304, 3794, 3660, 47135, 17340, 32767, 9957, 22807, 5296, 343, 15844, 10874, 3215, 2288, 16490, 2304, 3794, 3660, 30767, 16373, 3215, 8574, 394, 259], "avg_logprob": -0.2578125124176343, "compression_ratio": 1.5555555555555556, "no_speech_prob": 0.0, "words": [{"start": 374.78, "end": 375.22, "word": "مين", "probability": 0.6649169921875}, {"start": 375.22, "end": 375.8, "word": " تكابل", "probability": 0.7777099609375}, {"start": 375.8, "end": 376.02, "word": " هذه", "probability": 0.599609375}, {"start": 376.02, "end": 376.86, "word": " مين؟", "probability": 0.7224934895833334}, {"start": 376.86, "end": 378.66, "word": " مين", "probability": 0.778076171875}, {"start": 378.66, "end": 378.82, "word": " من", "probability": 0.8466796875}, {"start": 378.82, "end": 379.2, "word": " معكوس", "probability": 0.68408203125}, {"start": 379.2, "end": 379.54, "word": " الدول", "probability": 0.8515625}, {"start": 379.54, "end": 381.14, "word": " الزائدية؟", "probability": 0.8789469401041666}, {"start": 381.14, "end": 381.48, "word": " Sich", "probability": 0.040802001953125}, {"start": 381.48, "end": 382.04, "word": " inverse", "probability": 0.64697265625}, {"start": 382.04, "end": 382.58, "word": " يبقى", "probability": 0.794921875}, {"start": 382.58, "end": 382.86, "word": " هذا", "probability": 0.95751953125}, {"start": 382.86, "end": 383.68, "word": " الكلام", "probability": 0.9640299479166666}, {"start": 383.68, "end": 384.78, "word": " يساوي", "probability": 0.968505859375}, {"start": 384.78, "end": 385.5, "word": " سالم", "probability": 0.69189453125}, {"start": 385.5, "end": 386.96, "word": " واحد", "probability": 0.92333984375}, {"start": 386.96, "end": 387.4, "word": " على", "probability": 0.75927734375}, {"start": 387.4, "end": 388.06, "word": " جدر", "probability": 0.98046875}, {"start": 388.06, "end": 389.08, "word": " خمسة", "probability": 0.955078125}, {"start": 389.08, "end": 389.94, "word": " Sich", "probability": 0.492431640625}, {"start": 389.94, "end": 390.96, "word": " inverse", "probability": 0.90478515625}, {"start": 390.96, "end": 392.48, "word": " لمين؟", "probability": 0.7682291666666666}, {"start": 392.48, "end": 392.6, "word": " ل", "probability": 0.8037109375}, {"start": 392.6, "end": 393.36, "word": " W", "probability": 0.464599609375}, {"start": 393.36, "end": 394.42, "word": " على", "probability": 0.90283203125}, {"start": 394.42, "end": 395.08, "word": " جدر", "probability": 0.9962565104166666}, {"start": 395.08, "end": 396.2, "word": " خمسة", "probability": 0.9927978515625}, {"start": 396.2, "end": 396.86, "word": " زائد", "probability": 0.890625}, {"start": 396.86, "end": 397.98, "word": " Constantin", "probability": 0.574951171875}], "temperature": 1.0}, {"id": 18, "seek": 42503, "start": 398.67, "end": 425.03, "text": "او ان شئتم فاقولوا سالب واحد على جدر الخمسة سيش inverse ليه؟ بده اشيل ال W و احط قمة اليمين sign ال X يبقى sign ال X على جدر الخمسة زائد constant C نمرا أربع بدنا تكامل", "tokens": [995, 2407, 16472, 13412, 19986, 39237, 6156, 995, 39648, 14407, 8608, 6027, 3555, 36764, 24401, 15844, 10874, 3215, 2288, 33962, 2304, 3794, 3660, 8608, 1829, 8592, 17340, 32239, 3224, 22807, 47525, 3224, 1975, 8592, 26895, 2423, 343, 4032, 1975, 5016, 9566, 12174, 46007, 2423, 32640, 9957, 1465, 2423, 1783, 7251, 3555, 4587, 7578, 1465, 2423, 1783, 15844, 10874, 3215, 2288, 33962, 2304, 3794, 3660, 30767, 16373, 3215, 5754, 383, 8717, 2304, 23557, 5551, 25513, 3615, 47525, 8315, 6055, 4117, 10943, 1211], "avg_logprob": -0.33174543700567105, "compression_ratio": 1.5337078651685394, "no_speech_prob": 0.0, "words": [{"start": 398.67, "end": 399.05, "word": "او", "probability": 0.55316162109375}, {"start": 399.05, "end": 399.19, "word": " ان", "probability": 0.64404296875}, {"start": 399.19, "end": 399.73, "word": " شئتم", "probability": 0.8225911458333334}, {"start": 399.73, "end": 400.83, "word": " فاقولوا", "probability": 0.7989501953125}, {"start": 400.83, "end": 401.71, "word": " سالب", "probability": 0.7063802083333334}, {"start": 401.71, "end": 402.33, "word": " واحد", "probability": 0.978515625}, {"start": 402.33, "end": 402.97, "word": " على", "probability": 0.77685546875}, {"start": 402.97, "end": 403.39, "word": " جدر", "probability": 0.9176432291666666}, {"start": 403.39, "end": 404.43, "word": " الخمسة", "probability": 0.8048095703125}, {"start": 404.43, "end": 405.11, "word": " سيش", "probability": 0.5675150553385416}, {"start": 405.11, "end": 405.91, "word": " inverse", "probability": 0.669921875}, {"start": 405.91, "end": 407.03, "word": " ليه؟", "probability": 0.7506510416666666}, {"start": 407.03, "end": 407.51, "word": " بده", "probability": 0.4000244140625}, {"start": 407.51, "end": 407.75, "word": " اشيل", "probability": 0.7962239583333334}, {"start": 407.75, "end": 407.95, "word": " ال", "probability": 0.990234375}, {"start": 407.95, "end": 408.39, "word": " W", "probability": 0.326171875}, {"start": 408.39, "end": 408.63, "word": " و", "probability": 0.88134765625}, {"start": 408.63, "end": 408.95, "word": " احط", "probability": 0.7647298177083334}, {"start": 408.95, "end": 409.29, "word": " قمة", "probability": 0.601806640625}, {"start": 409.29, "end": 410.11, "word": " اليمين", "probability": 0.7901204427083334}, {"start": 410.11, "end": 410.97, "word": " sign", "probability": 0.21435546875}, {"start": 410.97, "end": 411.33, "word": " ال", "probability": 0.66259765625}, {"start": 411.33, "end": 411.77, "word": " X", "probability": 0.80810546875}, {"start": 411.77, "end": 412.65, "word": " يبقى", "probability": 0.9476318359375}, {"start": 412.65, "end": 413.17, "word": " sign", "probability": 0.849609375}, {"start": 413.17, "end": 413.39, "word": " ال", "probability": 0.95361328125}, {"start": 413.39, "end": 413.79, "word": " X", "probability": 0.9892578125}, {"start": 413.79, "end": 414.85, "word": " على", "probability": 0.90185546875}, {"start": 414.85, "end": 415.45, "word": " جدر", "probability": 0.9879557291666666}, {"start": 415.45, "end": 416.65, "word": " الخمسة", "probability": 0.99169921875}, {"start": 416.65, "end": 417.51, "word": " زائد", "probability": 0.8367513020833334}, {"start": 417.51, "end": 418.29, "word": " constant", "probability": 0.93603515625}, {"start": 418.29, "end": 418.97, "word": " C", "probability": 0.90234375}, {"start": 418.97, "end": 420.91, "word": " نمرا", "probability": 0.4320475260416667}, {"start": 420.91, "end": 421.43, "word": " أربع", "probability": 0.7060546875}, {"start": 421.43, "end": 424.07, "word": " بدنا", "probability": 0.57763671875}, {"start": 424.07, "end": 425.03, "word": " تكامل", "probability": 0.9827880859375}], "temperature": 1.0}, {"id": 19, "seek": 45229, "start": 426.51, "end": 452.29, "text": "لمين؟ لواحد على X الجدري التربيعي لتسعة وأربعين زائد تسعة X أُص أربعة DX هذا سهل لو كانت هذه X تربية لكن هذه X أُص أربعة تمام؟", "tokens": [19528, 9957, 22807, 5296, 14407, 24401, 15844, 1783, 25724, 3215, 16572, 16712, 2288, 21292, 3615, 1829, 5296, 2655, 3794, 27884, 36725, 25513, 3615, 9957, 30767, 16373, 3215, 6055, 3794, 27884, 1783, 5551, 10859, 9381, 5551, 25513, 27884, 48817, 23758, 8608, 3224, 1211, 45164, 25961, 2655, 29538, 1783, 6055, 25513, 10632, 44381, 29538, 1783, 5551, 10859, 9381, 5551, 25513, 27884, 46811, 10943, 22807], "avg_logprob": -0.24094741448523507, "compression_ratio": 1.6058394160583942, "no_speech_prob": 0.0, "words": [{"start": 426.51, "end": 427.69, "word": "لمين؟", "probability": 0.6048177083333334}, {"start": 427.69, "end": 428.61, "word": " لواحد", "probability": 0.6515299479166666}, {"start": 428.61, "end": 429.69, "word": " على", "probability": 0.71142578125}, {"start": 429.69, "end": 430.45, "word": " X", "probability": 0.427001953125}, {"start": 430.45, "end": 431.55, "word": " الجدري", "probability": 0.8157552083333334}, {"start": 431.55, "end": 432.55, "word": " التربيعي", "probability": 0.733056640625}, {"start": 432.55, "end": 433.83, "word": " لتسعة", "probability": 0.880615234375}, {"start": 433.83, "end": 434.97, "word": " وأربعين", "probability": 0.830078125}, {"start": 434.97, "end": 436.31, "word": " زائد", "probability": 0.84033203125}, {"start": 436.31, "end": 437.37, "word": " تسعة", "probability": 0.9943033854166666}, {"start": 437.37, "end": 437.91, "word": " X", "probability": 0.94580078125}, {"start": 437.91, "end": 438.43, "word": " أُص", "probability": 0.6661783854166666}, {"start": 438.43, "end": 439.31, "word": " أربعة", "probability": 0.8427734375}, {"start": 439.31, "end": 440.85, "word": " DX", "probability": 0.90771484375}, {"start": 440.85, "end": 445.39, "word": " هذا", "probability": 0.7880859375}, {"start": 445.39, "end": 446.29, "word": " سهل", "probability": 0.9978841145833334}, {"start": 446.29, "end": 447.11, "word": " لو", "probability": 0.9765625}, {"start": 447.11, "end": 447.65, "word": " كانت", "probability": 0.959228515625}, {"start": 447.65, "end": 447.95, "word": " هذه", "probability": 0.83740234375}, {"start": 447.95, "end": 448.39, "word": " X", "probability": 0.9814453125}, {"start": 448.39, "end": 448.95, "word": " تربية", "probability": 0.7042643229166666}, {"start": 448.95, "end": 449.77, "word": " لكن", "probability": 0.68994140625}, {"start": 449.77, "end": 450.11, "word": " هذه", "probability": 0.826171875}, {"start": 450.11, "end": 450.37, "word": " X", "probability": 0.9716796875}, {"start": 450.37, "end": 450.61, "word": " أُص", "probability": 0.9835611979166666}, {"start": 450.61, "end": 451.07, "word": " أربعة", "probability": 0.9697265625}, {"start": 451.07, "end": 452.29, "word": " تمام؟", "probability": 0.8250325520833334}], "temperature": 1.0}, {"id": 20, "seek": 47220, "start": 454.44, "end": 472.2, "text": "نسمع مقترحات تفضل يا ابني نضغط في X و نقسم على X طيب هذا الكلام بناء على رأي أحد الأخوة الزملاء بيقول ما يأتي X وهنا ضربنا X صارت جداش", "tokens": [1863, 38251, 3615, 3714, 38149, 2288, 5016, 9307, 6055, 5172, 11242, 1211, 35186, 48127, 22653, 8717, 11242, 17082, 9566, 8978, 1783, 4032, 8717, 4587, 38251, 15844, 1783, 23032, 1829, 3555, 23758, 2423, 28820, 10943, 44945, 16606, 15844, 12602, 10721, 1829, 5551, 24401, 16247, 9778, 2407, 3660, 6024, 110, 42213, 16606, 4724, 1829, 39648, 19446, 7251, 10721, 31371, 1783, 37037, 8315, 48812, 25513, 8315, 1783, 20328, 9640, 2655, 10874, 3215, 33599], "avg_logprob": -0.18816021336636074, "compression_ratio": 1.5161290322580645, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 454.44, "end": 455.18, "word": "نسمع", "probability": 0.84326171875}, {"start": 455.18, "end": 455.86, "word": " مقترحات", "probability": 0.9224609375}, {"start": 455.86, "end": 456.26, "word": " تفضل", "probability": 0.6242218017578125}, {"start": 456.26, "end": 456.42, "word": " يا", "probability": 0.8408203125}, {"start": 456.42, "end": 456.64, "word": " ابني", "probability": 0.64404296875}, {"start": 456.64, "end": 458.56, "word": " نضغط", "probability": 0.9456787109375}, {"start": 458.56, "end": 458.74, "word": " في", "probability": 0.89208984375}, {"start": 458.74, "end": 458.98, "word": " X", "probability": 0.71826171875}, {"start": 458.98, "end": 459.14, "word": " و", "probability": 0.9560546875}, {"start": 459.14, "end": 459.68, "word": " نقسم", "probability": 0.8942057291666666}, {"start": 459.68, "end": 460.56, "word": " على", "probability": 0.94384765625}, {"start": 460.56, "end": 460.96, "word": " X", "probability": 0.97900390625}, {"start": 460.96, "end": 461.96, "word": " طيب", "probability": 0.8712565104166666}, {"start": 461.96, "end": 462.44, "word": " هذا", "probability": 0.71142578125}, {"start": 462.44, "end": 463.0, "word": " الكلام", "probability": 0.97119140625}, {"start": 463.0, "end": 463.52, "word": " بناء", "probability": 0.96142578125}, {"start": 463.52, "end": 464.62, "word": " على", "probability": 0.8623046875}, {"start": 464.62, "end": 465.14, "word": " رأي", "probability": 0.9768880208333334}, {"start": 465.14, "end": 465.64, "word": " أحد", "probability": 0.87646484375}, {"start": 465.64, "end": 466.26, "word": " الأخوة", "probability": 0.8626708984375}, {"start": 466.26, "end": 467.08, "word": " الزملاء", "probability": 0.83709716796875}, {"start": 467.08, "end": 467.58, "word": " بيقول", "probability": 0.9552408854166666}, {"start": 467.58, "end": 467.88, "word": " ما", "probability": 0.9736328125}, {"start": 467.88, "end": 468.42, "word": " يأتي", "probability": 0.919921875}, {"start": 468.42, "end": 469.4, "word": " X", "probability": 0.92626953125}, {"start": 469.4, "end": 470.36, "word": " وهنا", "probability": 0.835693359375}, {"start": 470.36, "end": 470.94, "word": " ضربنا", "probability": 0.9313151041666666}, {"start": 470.94, "end": 471.18, "word": " X", "probability": 0.97998046875}, {"start": 471.18, "end": 471.52, "word": " صارت", "probability": 0.6627197265625}, {"start": 471.52, "end": 472.2, "word": " جداش", "probability": 0.7789713541666666}], "temperature": 1.0}, {"id": 21, "seek": 49327, "start": 477.67, "end": 493.27, "text": "تسعة عام المشترك صار تسعة واربعين على تسعة زي اكس وصفة اربعة ل X تربيع تربيع على تسعة", "tokens": [2655, 3794, 27884, 6225, 10943, 9673, 8592, 2655, 31747, 20328, 9640, 6055, 3794, 27884, 4032, 9640, 3555, 3615, 9957, 15844, 6055, 3794, 27884, 30767, 1829, 1975, 4117, 3794, 4032, 9381, 5172, 3660, 1975, 25513, 27884, 5296, 1783, 6055, 2288, 21292, 3615, 6055, 2288, 21292, 3615, 15844, 6055, 3794, 27884], "avg_logprob": -0.4306250137090683, "compression_ratio": 1.6170212765957446, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 477.66999999999996, "end": 479.03, "word": "تسعة", "probability": 0.4655354817708333}, {"start": 479.03, "end": 479.37, "word": " عام", "probability": 0.617431640625}, {"start": 479.37, "end": 480.19, "word": " المشترك", "probability": 0.8697509765625}, {"start": 480.19, "end": 480.91, "word": " صار", "probability": 0.5252532958984375}, {"start": 480.91, "end": 481.41, "word": " تسعة", "probability": 0.8907877604166666}, {"start": 481.41, "end": 482.25, "word": " واربعين", "probability": 0.81923828125}, {"start": 482.25, "end": 482.89, "word": " على", "probability": 0.6650390625}, {"start": 482.89, "end": 483.67, "word": " تسعة", "probability": 0.9811197916666666}, {"start": 483.67, "end": 484.45, "word": " زي", "probability": 0.66650390625}, {"start": 484.45, "end": 484.97, "word": " اكس", "probability": 0.7012939453125}, {"start": 484.97, "end": 485.45, "word": " وصفة", "probability": 0.42669677734375}, {"start": 485.45, "end": 485.97, "word": " اربعة", "probability": 0.8728841145833334}, {"start": 485.97, "end": 486.47, "word": " ل", "probability": 0.75537109375}, {"start": 486.47, "end": 486.95, "word": " X", "probability": 0.189208984375}, {"start": 486.95, "end": 488.05, "word": " تربيع", "probability": 0.77459716796875}, {"start": 488.05, "end": 488.89, "word": " تربيع", "probability": 0.88720703125}, {"start": 488.89, "end": 492.71, "word": " على", "probability": 0.78662109375}, {"start": 492.71, "end": 493.27, "word": " تسعة", "probability": 0.9884440104166666}], "temperature": 1.0}, {"id": 22, "seek": 50728, "start": 497.1, "end": 507.28, "text": "أخذت تسعة من المشترك من المعادل اللي قادر صار تسعة ربعين على تسعة زاد X وصارت ربع على كتابها X تربيع تربيع", "tokens": [10721, 9778, 8848, 2655, 6055, 3794, 27884, 9154, 9673, 8592, 2655, 31747, 9154, 9673, 3615, 18513, 1211, 13672, 1829, 12174, 18513, 2288, 20328, 9640, 6055, 3794, 27884, 12602, 3555, 3615, 9957, 15844, 6055, 3794, 27884, 30767, 18513, 1783, 4032, 9381, 9640, 2655, 12602, 3555, 3615, 15844, 9122, 2655, 16758, 11296, 1783, 6055, 2288, 21292, 3615, 6055, 2288, 21292, 3615], "avg_logprob": -0.3934895967443784, "compression_ratio": 1.6434782608695653, "no_speech_prob": 0.0, "words": [{"start": 497.1, "end": 498.04, "word": "أخذت", "probability": 0.5909423828125}, {"start": 498.04, "end": 498.6, "word": " تسعة", "probability": 0.78515625}, {"start": 498.6, "end": 498.84, "word": " من", "probability": 0.5712890625}, {"start": 498.84, "end": 499.56, "word": " المشترك", "probability": 0.89306640625}, {"start": 499.56, "end": 500.2, "word": " من", "probability": 0.54736328125}, {"start": 500.2, "end": 500.84, "word": " المعادل", "probability": 0.8170166015625}, {"start": 500.84, "end": 500.96, "word": " اللي", "probability": 0.47039794921875}, {"start": 500.96, "end": 501.22, "word": " قادر", "probability": 0.57080078125}, {"start": 501.22, "end": 501.54, "word": " صار", "probability": 0.724609375}, {"start": 501.54, "end": 501.92, "word": " تسعة", "probability": 0.9326171875}, {"start": 501.92, "end": 502.38, "word": " ربعين", "probability": 0.72027587890625}, {"start": 502.38, "end": 502.54, "word": " على", "probability": 0.36865234375}, {"start": 502.54, "end": 503.16, "word": " تسعة", "probability": 0.9903971354166666}, {"start": 503.16, "end": 503.92, "word": " زاد", "probability": 0.6231689453125}, {"start": 503.92, "end": 504.14, "word": " X", "probability": 0.485107421875}, {"start": 504.14, "end": 504.62, "word": " وصارت", "probability": 0.47930908203125}, {"start": 504.62, "end": 504.74, "word": " ربع", "probability": 0.7449544270833334}, {"start": 504.74, "end": 504.88, "word": " على", "probability": 0.6875}, {"start": 504.88, "end": 505.46, "word": " كتابها", "probability": 0.7928466796875}, {"start": 505.46, "end": 505.86, "word": " X", "probability": 0.96337890625}, {"start": 505.86, "end": 506.72, "word": " تربيع", "probability": 0.8046875}, {"start": 506.72, "end": 507.28, "word": " تربيع", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 23, "seek": 53701, "start": 508.19, "end": 537.01, "text": "الان ممكن اشيل ال X تربيع و احط بدلها اي متغير يجي في بالك يبقى الاباجي بقول لو حطينا ال Y تساوي X تربيع يبقى ال DIY بده يساوي اتنين X DX او نص DIY بده يساوي ال X DX اذا ممكن اشيل ال X DX و اكتب بدلها كده نص DIY يبقى هذا النص", "tokens": [6027, 7649, 3714, 43020, 1975, 8592, 26895, 2423, 1783, 6055, 2288, 21292, 3615, 4032, 1975, 5016, 9566, 47525, 1211, 11296, 1975, 1829, 44650, 17082, 13546, 7251, 7435, 1829, 8978, 20666, 4117, 7251, 3555, 4587, 7578, 2423, 16758, 26108, 1829, 4724, 39648, 45164, 11331, 9566, 1829, 8315, 2423, 398, 6055, 3794, 995, 45865, 1783, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 2423, 22194, 47525, 3224, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 1783, 48817, 1975, 2407, 8717, 9381, 22194, 47525, 3224, 7251, 3794, 995, 45865, 2423, 1783, 48817, 1975, 15730, 3714, 43020, 1975, 8592, 26895, 2423, 1783, 48817, 4032, 1975, 4117, 2655, 3555, 47525, 1211, 11296, 9122, 3215, 3224, 8717, 9381, 22194, 7251, 3555, 4587, 7578, 23758, 28239, 9381], "avg_logprob": -0.2058367837559093, "compression_ratio": 2.0380434782608696, "no_speech_prob": 0.0, "words": [{"start": 508.19, "end": 508.83, "word": "الان", "probability": 0.53515625}, {"start": 508.83, "end": 509.31, "word": " ممكن", "probability": 0.845458984375}, {"start": 509.31, "end": 509.85, "word": " اشيل", "probability": 0.78125}, {"start": 509.85, "end": 510.03, "word": " ال", "probability": 0.671875}, {"start": 510.03, "end": 510.23, "word": " X", "probability": 0.33935546875}, {"start": 510.23, "end": 510.81, "word": " تربيع", "probability": 0.753173828125}, {"start": 510.81, "end": 511.29, "word": " و", "probability": 0.8564453125}, {"start": 511.29, "end": 511.61, "word": " احط", "probability": 0.4848225911458333}, {"start": 511.61, "end": 512.17, "word": " بدلها", "probability": 0.8536783854166666}, {"start": 512.17, "end": 512.65, "word": " اي", "probability": 0.86962890625}, {"start": 512.65, "end": 513.45, "word": " متغير", "probability": 0.9671223958333334}, {"start": 513.45, "end": 513.79, "word": " يجي", "probability": 0.8722330729166666}, {"start": 513.79, "end": 513.93, "word": " في", "probability": 0.70751953125}, {"start": 513.93, "end": 514.41, "word": " بالك", "probability": 0.802734375}, {"start": 514.41, "end": 515.29, "word": " يبقى", "probability": 0.9212646484375}, {"start": 515.29, "end": 515.87, "word": " الاباجي", "probability": 0.6282958984375}, {"start": 515.87, "end": 516.21, "word": " بقول", "probability": 0.73681640625}, {"start": 516.21, "end": 516.51, "word": " لو", "probability": 0.94970703125}, {"start": 516.51, "end": 517.21, "word": " حطينا", "probability": 0.928955078125}, {"start": 517.21, "end": 517.51, "word": " ال", "probability": 0.89404296875}, {"start": 517.51, "end": 517.87, "word": " Y", "probability": 0.953125}, {"start": 517.87, "end": 518.73, "word": " تساوي", "probability": 0.87255859375}, {"start": 518.73, "end": 519.15, "word": " X", "probability": 0.99169921875}, {"start": 519.15, "end": 519.75, "word": " تربيع", "probability": 0.9129638671875}, {"start": 519.75, "end": 520.67, "word": " يبقى", "probability": 0.9752197265625}, {"start": 520.67, "end": 520.87, "word": " ال", "probability": 0.82373046875}, {"start": 520.87, "end": 521.27, "word": " DIY", "probability": 0.2376708984375}, {"start": 521.27, "end": 522.21, "word": " بده", "probability": 0.6435546875}, {"start": 522.21, "end": 522.65, "word": " يساوي", "probability": 0.89501953125}, {"start": 522.65, "end": 523.25, "word": " اتنين", "probability": 0.8680419921875}, {"start": 523.25, "end": 523.71, "word": " X", "probability": 0.63623046875}, {"start": 523.71, "end": 524.29, "word": " DX", "probability": 0.97265625}, {"start": 524.29, "end": 525.01, "word": " او", "probability": 0.890869140625}, {"start": 525.01, "end": 525.39, "word": " نص", "probability": 0.989501953125}, {"start": 525.39, "end": 525.99, "word": " DIY", "probability": 0.50830078125}, {"start": 525.99, "end": 526.95, "word": " بده", "probability": 0.939697265625}, {"start": 526.95, "end": 527.45, "word": " يساوي", "probability": 0.9876708984375}, {"start": 527.45, "end": 527.65, "word": " ال", "probability": 0.83837890625}, {"start": 527.65, "end": 527.95, "word": " X", "probability": 0.955078125}, {"start": 527.95, "end": 528.45, "word": " DX", "probability": 0.95458984375}, {"start": 528.45, "end": 529.09, "word": " اذا", "probability": 0.701904296875}, {"start": 529.09, "end": 529.49, "word": " ممكن", "probability": 0.98681640625}, {"start": 529.49, "end": 530.13, "word": " اشيل", "probability": 0.9462890625}, {"start": 530.13, "end": 530.51, "word": " ال", "probability": 0.96337890625}, {"start": 530.51, "end": 530.79, "word": " X", "probability": 0.91845703125}, {"start": 530.79, "end": 531.37, "word": " DX", "probability": 0.97900390625}, {"start": 531.37, "end": 531.91, "word": " و", "probability": 0.74951171875}, {"start": 531.91, "end": 532.15, "word": " اكتب", "probability": 0.9638671875}, {"start": 532.15, "end": 532.59, "word": " بدلها", "probability": 0.95751953125}, {"start": 532.59, "end": 533.03, "word": " كده", "probability": 0.7626953125}, {"start": 533.03, "end": 534.27, "word": " نص", "probability": 0.6907958984375}, {"start": 534.27, "end": 534.91, "word": " DIY", "probability": 0.73193359375}, {"start": 534.91, "end": 535.89, "word": " يبقى", "probability": 0.970947265625}, {"start": 535.89, "end": 536.45, "word": " هذا", "probability": 0.9404296875}, {"start": 536.45, "end": 537.01, "word": " النص", "probability": 0.86962890625}], "temperature": 1.0}, {"id": 24, "seek": 56354, "start": 537.6, "end": 563.54, "text": "وهي تكامل وهي صار عندي DY وهنا Y وهنا الجذر التربية شو رأيك التسعة دي؟ طلع برا الجذر تطلع وبرا تكامل بالمرة يبقى في طول بل عند مين؟ تسعة واربعين على تسعة تسعة واربعين على تسعة زي ما تشايف", "tokens": [2407, 3224, 1829, 6055, 4117, 10943, 1211, 4032, 3224, 1829, 20328, 9640, 18871, 16254, 48427, 37037, 8315, 398, 37037, 8315, 25724, 8848, 2288, 16712, 25513, 10632, 13412, 2407, 12602, 10721, 1829, 4117, 16712, 3794, 27884, 11778, 1829, 22807, 23032, 1211, 3615, 4724, 23557, 25724, 8848, 2288, 6055, 9566, 1211, 3615, 46599, 23557, 6055, 4117, 10943, 1211, 20666, 2304, 25720, 7251, 3555, 4587, 7578, 8978, 23032, 12610, 4724, 1211, 43242, 3714, 9957, 22807, 6055, 3794, 27884, 4032, 9640, 3555, 3615, 9957, 15844, 6055, 3794, 27884, 6055, 3794, 27884, 4032, 9640, 3555, 3615, 9957, 15844, 6055, 3794, 27884, 30767, 1829, 19446, 6055, 8592, 995, 33911], "avg_logprob": -0.2435396699091563, "compression_ratio": 1.9940119760479043, "no_speech_prob": 0.0, "words": [{"start": 537.6, "end": 538.26, "word": "وهي", "probability": 0.6090494791666666}, {"start": 538.26, "end": 539.04, "word": " تكامل", "probability": 0.9676513671875}, {"start": 539.04, "end": 540.08, "word": " وهي", "probability": 0.6053059895833334}, {"start": 540.08, "end": 540.56, "word": " صار", "probability": 0.807861328125}, {"start": 540.56, "end": 541.14, "word": " عندي", "probability": 0.755859375}, {"start": 541.14, "end": 541.9, "word": " DY", "probability": 0.15625}, {"start": 541.9, "end": 543.5, "word": " وهنا", "probability": 0.7177734375}, {"start": 543.5, "end": 544.02, "word": " Y", "probability": 0.974609375}, {"start": 544.02, "end": 544.86, "word": " وهنا", "probability": 0.90380859375}, {"start": 544.86, "end": 545.36, "word": " الجذر", "probability": 0.78662109375}, {"start": 545.36, "end": 545.92, "word": " التربية", "probability": 0.7447102864583334}, {"start": 545.92, "end": 546.18, "word": " شو", "probability": 0.6724853515625}, {"start": 546.18, "end": 546.54, "word": " رأيك", "probability": 0.8712158203125}, {"start": 546.54, "end": 547.04, "word": " التسعة", "probability": 0.8753255208333334}, {"start": 547.04, "end": 547.64, "word": " دي؟", "probability": 0.6315104166666666}, {"start": 547.64, "end": 548.22, "word": " طلع", "probability": 0.74658203125}, {"start": 548.22, "end": 548.6, "word": " برا", "probability": 0.7353515625}, {"start": 548.6, "end": 548.96, "word": " الجذر", "probability": 0.9729817708333334}, {"start": 548.96, "end": 549.66, "word": " تطلع", "probability": 0.966064453125}, {"start": 549.66, "end": 550.72, "word": " وبرا", "probability": 0.6121826171875}, {"start": 550.72, "end": 551.52, "word": " تكامل", "probability": 0.8985595703125}, {"start": 551.52, "end": 552.42, "word": " بالمرة", "probability": 0.7757161458333334}, {"start": 552.42, "end": 553.2, "word": " يبقى", "probability": 0.981201171875}, {"start": 553.2, "end": 553.72, "word": " في", "probability": 0.93310546875}, {"start": 553.72, "end": 554.52, "word": " طول", "probability": 0.778564453125}, {"start": 554.52, "end": 555.6, "word": " بل", "probability": 0.56396484375}, {"start": 555.6, "end": 555.86, "word": " عند", "probability": 0.5146484375}, {"start": 555.86, "end": 556.7, "word": " مين؟", "probability": 0.8263346354166666}, {"start": 556.7, "end": 557.2, "word": " تسعة", "probability": 0.9415690104166666}, {"start": 557.2, "end": 558.2, "word": " واربعين", "probability": 0.86767578125}, {"start": 558.2, "end": 559.02, "word": " على", "probability": 0.52587890625}, {"start": 559.02, "end": 560.02, "word": " تسعة", "probability": 0.9928385416666666}, {"start": 560.02, "end": 560.86, "word": " تسعة", "probability": 0.9298502604166666}, {"start": 560.86, "end": 561.54, "word": " واربعين", "probability": 0.98525390625}, {"start": 561.54, "end": 561.92, "word": " على", "probability": 0.7861328125}, {"start": 561.92, "end": 562.44, "word": " تسعة", "probability": 0.9943033854166666}, {"start": 562.44, "end": 562.7, "word": " زي", "probability": 0.9462890625}, {"start": 562.7, "end": 562.8, "word": " ما", "probability": 0.9736328125}, {"start": 562.8, "end": 563.54, "word": " تشايف", "probability": 0.67230224609375}], "temperature": 1.0}, {"id": 25, "seek": 58085, "start": 566.27, "end": 580.85, "text": "زائد والتربية. واضح انها المين؟ اخر واحدة، اخر تكمل عندك اللي هو مين؟ بس مش inverse، يبقى هذا الكلام بده يساوي", "tokens": [11622, 16373, 3215, 16070, 2655, 25513, 10632, 13, 4032, 46958, 5016, 16472, 11296, 9673, 9957, 22807, 1975, 34740, 36764, 24401, 3660, 12399, 1975, 34740, 6055, 24793, 1211, 43242, 4117, 13672, 1829, 31439, 3714, 9957, 22807, 4724, 3794, 37893, 17340, 12399, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.35397726839238947, "compression_ratio": 1.3714285714285714, "no_speech_prob": 0.0, "words": [{"start": 566.27, "end": 567.49, "word": "زائد", "probability": 0.7859700520833334}, {"start": 567.49, "end": 568.71, "word": " والتربية.", "probability": 0.73870849609375}, {"start": 569.79, "end": 570.41, "word": " واضح", "probability": 0.896484375}, {"start": 570.41, "end": 570.81, "word": " انها", "probability": 0.488525390625}, {"start": 570.81, "end": 571.95, "word": " المين؟", "probability": 0.3641764322916667}, {"start": 571.95, "end": 573.23, "word": " اخر", "probability": 0.682861328125}, {"start": 573.23, "end": 574.05, "word": " واحدة،", "probability": 0.866943359375}, {"start": 574.05, "end": 574.41, "word": " اخر", "probability": 0.9716796875}, {"start": 574.41, "end": 575.01, "word": " تكمل", "probability": 0.8318684895833334}, {"start": 575.01, "end": 575.47, "word": " عندك", "probability": 0.9814453125}, {"start": 575.47, "end": 575.95, "word": " اللي", "probability": 0.7166748046875}, {"start": 575.95, "end": 576.09, "word": " هو", "probability": 0.943359375}, {"start": 576.09, "end": 576.87, "word": " مين؟", "probability": 0.8245442708333334}, {"start": 576.87, "end": 577.49, "word": " بس", "probability": 0.217010498046875}, {"start": 577.49, "end": 577.71, "word": " مش", "probability": 0.390625}, {"start": 577.71, "end": 578.65, "word": " inverse،", "probability": 0.626953125}, {"start": 578.65, "end": 579.03, "word": " يبقى", "probability": 0.959716796875}, {"start": 579.03, "end": 579.33, "word": " هذا", "probability": 0.98193359375}, {"start": 579.33, "end": 579.85, "word": " الكلام", "probability": 0.9806315104166666}, {"start": 579.85, "end": 580.23, "word": " بده", "probability": 0.79248046875}, {"start": 580.23, "end": 580.85, "word": " يساوي", "probability": 0.9840087890625}], "temperature": 1.0}, {"id": 26, "seek": 59824, "start": 581.56, "end": 598.24, "text": "هذا نص، وهذا طول، وهذا فيه، هذه إيه؟ يبقى واحد على سبع أتلات، في واحد على سبعة على تلاتة، فمين؟", "tokens": [3224, 15730, 8717, 9381, 12399, 37037, 15730, 23032, 12610, 12399, 37037, 15730, 8978, 3224, 12399, 29538, 11933, 1829, 3224, 22807, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 8608, 3555, 3615, 5551, 2655, 1211, 9307, 12399, 8978, 36764, 24401, 15844, 8608, 3555, 27884, 15844, 6055, 1211, 9307, 3660, 12399, 6156, 2304, 9957, 22807], "avg_logprob": -0.24012382300394886, "compression_ratio": 1.6442307692307692, "no_speech_prob": 0.0, "words": [{"start": 581.56, "end": 582.16, "word": "هذا", "probability": 0.87109375}, {"start": 582.16, "end": 583.4, "word": " نص،", "probability": 0.7887369791666666}, {"start": 583.4, "end": 584.24, "word": " وهذا", "probability": 0.896728515625}, {"start": 584.24, "end": 585.38, "word": " طول،", "probability": 0.74951171875}, {"start": 585.38, "end": 586.24, "word": " وهذا", "probability": 0.940673828125}, {"start": 586.24, "end": 587.18, "word": " فيه،", "probability": 0.703857421875}, {"start": 587.18, "end": 587.68, "word": " هذه", "probability": 0.505859375}, {"start": 587.68, "end": 588.58, "word": " إيه؟", "probability": 0.830322265625}, {"start": 588.58, "end": 589.16, "word": " يبقى", "probability": 0.98095703125}, {"start": 589.16, "end": 589.7, "word": " واحد", "probability": 0.96630859375}, {"start": 589.7, "end": 590.1, "word": " على", "probability": 0.8203125}, {"start": 590.1, "end": 590.8, "word": " سبع", "probability": 0.9015299479166666}, {"start": 590.8, "end": 591.94, "word": " أتلات،", "probability": 0.745751953125}, {"start": 591.94, "end": 592.1, "word": " في", "probability": 0.712890625}, {"start": 592.1, "end": 592.88, "word": " واحد", "probability": 0.988037109375}, {"start": 592.88, "end": 593.76, "word": " على", "probability": 0.92236328125}, {"start": 593.76, "end": 595.0, "word": " سبعة", "probability": 0.859375}, {"start": 595.0, "end": 595.78, "word": " على", "probability": 0.9150390625}, {"start": 595.78, "end": 597.18, "word": " تلاتة،", "probability": 0.877880859375}, {"start": 597.18, "end": 598.24, "word": " فمين؟", "probability": 0.8009033203125}], "temperature": 1.0}, {"id": 27, "seek": 62199, "start": 599.67, "end": 621.99, "text": "إنفرس بس بده شرط ايه؟ سالم في الأول يبقى ويساوي و أي شرط سالم يبقى قبله فكسيش انفرس مين؟ Y على اللي هو سبعة على تلاتة زائد كونستانسي هذا الكلام بده يساوي", "tokens": [28814, 1863, 5172, 2288, 3794, 4724, 3794, 47525, 3224, 13412, 2288, 9566, 1975, 1829, 3224, 22807, 8608, 45340, 8978, 16247, 12610, 7251, 3555, 4587, 7578, 4032, 1829, 3794, 995, 45865, 4032, 36632, 13412, 2288, 9566, 8608, 45340, 7251, 3555, 4587, 7578, 12174, 36150, 3224, 6156, 4117, 3794, 1829, 8592, 16472, 5172, 2288, 3794, 3714, 9957, 22807, 398, 15844, 13672, 1829, 31439, 8608, 3555, 27884, 15844, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 3794, 1829, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.3081109577350402, "compression_ratio": 1.7232704402515724, "no_speech_prob": 0.0, "words": [{"start": 599.67, "end": 600.55, "word": "إنفرس", "probability": 0.689544677734375}, {"start": 600.55, "end": 601.17, "word": " بس", "probability": 0.739013671875}, {"start": 601.17, "end": 601.51, "word": " بده", "probability": 0.7802734375}, {"start": 601.51, "end": 601.99, "word": " شرط", "probability": 0.9697265625}, {"start": 601.99, "end": 602.69, "word": " ايه؟", "probability": 0.71929931640625}, {"start": 602.69, "end": 603.55, "word": " سالم", "probability": 0.67626953125}, {"start": 603.55, "end": 603.75, "word": " في", "probability": 0.865234375}, {"start": 603.75, "end": 604.35, "word": " الأول", "probability": 0.941650390625}, {"start": 604.35, "end": 605.31, "word": " يبقى", "probability": 0.93115234375}, {"start": 605.31, "end": 606.15, "word": " ويساوي", "probability": 0.781298828125}, {"start": 606.15, "end": 606.65, "word": " و", "probability": 0.58203125}, {"start": 606.65, "end": 606.91, "word": " أي", "probability": 0.4384765625}, {"start": 606.91, "end": 607.35, "word": " شرط", "probability": 0.9915364583333334}, {"start": 607.35, "end": 607.81, "word": " سالم", "probability": 0.759033203125}, {"start": 607.81, "end": 608.05, "word": " يبقى", "probability": 0.826904296875}, {"start": 608.05, "end": 608.49, "word": " قبله", "probability": 0.8512369791666666}, {"start": 608.49, "end": 609.73, "word": " فكسيش", "probability": 0.56171875}, {"start": 609.73, "end": 610.37, "word": " انفرس", "probability": 0.782470703125}, {"start": 610.37, "end": 611.23, "word": " مين؟", "probability": 0.8546549479166666}, {"start": 611.23, "end": 612.03, "word": " Y", "probability": 0.3720703125}, {"start": 612.03, "end": 613.03, "word": " على", "probability": 0.381591796875}, {"start": 613.03, "end": 613.79, "word": " اللي", "probability": 0.57269287109375}, {"start": 613.79, "end": 614.03, "word": " هو", "probability": 0.97119140625}, {"start": 614.03, "end": 614.87, "word": " سبعة", "probability": 0.8238932291666666}, {"start": 614.87, "end": 616.03, "word": " على", "probability": 0.771484375}, {"start": 616.03, "end": 617.47, "word": " تلاتة", "probability": 0.9375}, {"start": 617.47, "end": 618.17, "word": " زائد", "probability": 0.83544921875}, {"start": 618.17, "end": 619.15, "word": " كونستانسي", "probability": 0.6888834635416666}, {"start": 619.15, "end": 620.45, "word": " هذا", "probability": 0.81591796875}, {"start": 620.45, "end": 620.97, "word": " الكلام", "probability": 0.9763997395833334}, {"start": 620.97, "end": 621.37, "word": " بده", "probability": 0.974365234375}, {"start": 621.37, "end": 621.99, "word": " يساوي", "probability": 0.9886474609375}], "temperature": 1.0}, {"id": 28, "seek": 65347, "start": 624.81, "end": 653.47, "text": "هنا تلاتة تطلع فوق تروح مع التلاتة بضل اتنين في سبعة باربعتاش يبقى سالب واحد على اربعتاشر وهنا كوسيش inverse التلاتة تطلع فوق يبقى هي تلاتة وال Y هي ب X تربيع وعلى سبعة زائد constant C نجي للتكامل الخامس", "tokens": [3224, 8315, 6055, 1211, 9307, 3660, 6055, 9566, 1211, 3615, 6156, 30543, 6055, 32887, 5016, 20449, 16712, 1211, 9307, 3660, 4724, 11242, 1211, 1975, 2655, 1863, 9957, 8978, 8608, 3555, 27884, 4724, 9640, 3555, 34268, 33599, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 36764, 24401, 15844, 1975, 25513, 34268, 33599, 2288, 37037, 8315, 9122, 41779, 1829, 8592, 17340, 16712, 1211, 9307, 3660, 6055, 9566, 1211, 3615, 6156, 30543, 7251, 3555, 4587, 7578, 39896, 6055, 1211, 9307, 3660, 16070, 398, 39896, 4724, 1783, 6055, 2288, 21292, 3615, 4032, 3615, 23942, 8608, 3555, 27884, 30767, 16373, 3215, 5754, 383, 8717, 7435, 1829, 24976, 2655, 4117, 10943, 1211, 33962, 10943, 3794], "avg_logprob": -0.1903669697429062, "compression_ratio": 1.7715736040609138, "no_speech_prob": 0.0, "words": [{"start": 624.81, "end": 625.39, "word": "هنا", "probability": 0.697265625}, {"start": 625.39, "end": 626.37, "word": " تلاتة", "probability": 0.724365234375}, {"start": 626.37, "end": 626.79, "word": " تطلع", "probability": 0.931884765625}, {"start": 626.79, "end": 627.01, "word": " فوق", "probability": 0.95556640625}, {"start": 627.01, "end": 627.35, "word": " تروح", "probability": 0.6869303385416666}, {"start": 627.35, "end": 627.53, "word": " مع", "probability": 0.97509765625}, {"start": 627.53, "end": 627.99, "word": " التلاتة", "probability": 0.9599609375}, {"start": 627.99, "end": 628.27, "word": " بضل", "probability": 0.5390625}, {"start": 628.27, "end": 628.63, "word": " اتنين", "probability": 0.83953857421875}, {"start": 628.63, "end": 628.75, "word": " في", "probability": 0.87548828125}, {"start": 628.75, "end": 629.29, "word": " سبعة", "probability": 0.9397786458333334}, {"start": 629.29, "end": 630.99, "word": " باربعتاش", "probability": 0.79521484375}, {"start": 630.99, "end": 631.41, "word": " يبقى", "probability": 0.9425048828125}, {"start": 631.41, "end": 632.03, "word": " سالب", "probability": 0.92333984375}, {"start": 632.03, "end": 632.73, "word": " واحد", "probability": 0.98876953125}, {"start": 632.73, "end": 633.57, "word": " على", "probability": 0.76171875}, {"start": 633.57, "end": 634.85, "word": " اربعتاشر", "probability": 0.869140625}, {"start": 634.85, "end": 635.89, "word": " وهنا", "probability": 0.6500244140625}, {"start": 635.89, "end": 636.85, "word": " كوسيش", "probability": 0.7164306640625}, {"start": 636.85, "end": 637.71, "word": " inverse", "probability": 0.56591796875}, {"start": 637.71, "end": 639.21, "word": " التلاتة", "probability": 0.9781494140625}, {"start": 639.21, "end": 639.81, "word": " تطلع", "probability": 0.99169921875}, {"start": 639.81, "end": 640.37, "word": " فوق", "probability": 0.985107421875}, {"start": 640.37, "end": 640.99, "word": " يبقى", "probability": 0.9791259765625}, {"start": 640.99, "end": 641.31, "word": " هي", "probability": 0.52392578125}, {"start": 641.31, "end": 642.35, "word": " تلاتة", "probability": 0.96923828125}, {"start": 642.35, "end": 643.05, "word": " وال", "probability": 0.68310546875}, {"start": 643.05, "end": 643.39, "word": " Y", "probability": 0.43359375}, {"start": 643.39, "end": 643.73, "word": " هي", "probability": 0.96533203125}, {"start": 643.73, "end": 644.01, "word": " ب", "probability": 0.4609375}, {"start": 644.01, "end": 644.33, "word": " X", "probability": 0.67041015625}, {"start": 644.33, "end": 645.13, "word": " تربيع", "probability": 0.8345947265625}, {"start": 645.13, "end": 646.07, "word": " وعلى", "probability": 0.9182942708333334}, {"start": 646.07, "end": 646.77, "word": " سبعة", "probability": 0.9762369791666666}, {"start": 646.77, "end": 647.99, "word": " زائد", "probability": 0.9088541666666666}, {"start": 647.99, "end": 648.67, "word": " constant", "probability": 0.61669921875}, {"start": 648.67, "end": 649.47, "word": " C", "probability": 0.8955078125}, {"start": 649.47, "end": 651.85, "word": " نجي", "probability": 0.759765625}, {"start": 651.85, "end": 652.69, "word": " للتكامل", "probability": 0.84375}, {"start": 652.69, "end": 653.47, "word": " الخامس", "probability": 0.9930013020833334}], "temperature": 1.0}, {"id": 29, "seek": 69644, "start": 674.18, "end": 696.44, "text": "التكامل الخامس بيقول ما يأتي نمرة خمسة بيقول لتكامل من اتنين لخمسة على اتنين ل دي اكس على مين ناقص اكس تربية زائد اربعة اكس زائد خمسة", "tokens": [6027, 2655, 4117, 10943, 1211, 33962, 10943, 3794, 4724, 1829, 39648, 19446, 7251, 10721, 31371, 8717, 2304, 25720, 16490, 2304, 3794, 3660, 4724, 1829, 39648, 5296, 2655, 4117, 10943, 1211, 9154, 1975, 2655, 1863, 9957, 5296, 9778, 2304, 3794, 3660, 15844, 1975, 2655, 1863, 9957, 5296, 11778, 1829, 1975, 4117, 3794, 15844, 3714, 9957, 8717, 995, 4587, 9381, 1975, 4117, 3794, 6055, 25513, 10632, 30767, 16373, 3215, 1975, 25513, 27884, 1975, 4117, 3794, 30767, 16373, 3215, 16490, 2304, 3794, 3660], "avg_logprob": -0.15461034244961208, "compression_ratio": 1.875, "no_speech_prob": 0.0, "words": [{"start": 674.1800000000001, "end": 675.58, "word": "التكامل", "probability": 0.88525390625}, {"start": 675.58, "end": 676.16, "word": " الخامس", "probability": 0.97900390625}, {"start": 676.16, "end": 676.88, "word": " بيقول", "probability": 0.9230143229166666}, {"start": 676.88, "end": 677.48, "word": " ما", "probability": 0.86767578125}, {"start": 677.48, "end": 678.34, "word": " يأتي", "probability": 0.7586263020833334}, {"start": 678.34, "end": 679.92, "word": " نمرة", "probability": 0.6165364583333334}, {"start": 679.92, "end": 680.78, "word": " خمسة", "probability": 0.873291015625}, {"start": 680.78, "end": 682.46, "word": " بيقول", "probability": 0.92724609375}, {"start": 682.46, "end": 683.5, "word": " لتكامل", "probability": 0.89560546875}, {"start": 683.5, "end": 683.98, "word": " من", "probability": 0.9619140625}, {"start": 683.98, "end": 684.76, "word": " اتنين", "probability": 0.8848876953125}, {"start": 684.76, "end": 685.98, "word": " لخمسة", "probability": 0.9505859375}, {"start": 685.98, "end": 686.26, "word": " على", "probability": 0.81787109375}, {"start": 686.26, "end": 687.0, "word": " اتنين", "probability": 0.9864501953125}, {"start": 687.0, "end": 687.74, "word": " ل", "probability": 0.88427734375}, {"start": 687.74, "end": 688.28, "word": " دي", "probability": 0.548583984375}, {"start": 688.28, "end": 688.82, "word": " اكس", "probability": 0.92138671875}, {"start": 688.82, "end": 689.34, "word": " على", "probability": 0.91552734375}, {"start": 689.34, "end": 689.86, "word": " مين", "probability": 0.896484375}, {"start": 689.86, "end": 691.08, "word": " ناقص", "probability": 0.9737548828125}, {"start": 691.08, "end": 691.54, "word": " اكس", "probability": 0.89599609375}, {"start": 691.54, "end": 692.14, "word": " تربية", "probability": 0.633544921875}, {"start": 692.14, "end": 693.12, "word": " زائد", "probability": 0.8310546875}, {"start": 693.12, "end": 693.8, "word": " اربعة", "probability": 0.8623046875}, {"start": 693.8, "end": 694.3, "word": " اكس", "probability": 0.9716796875}, {"start": 694.3, "end": 695.72, "word": " زائد", "probability": 0.9763997395833334}, {"start": 695.72, "end": 696.44, "word": " خمسة", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 30, "seek": 71331, "start": 700.67, "end": 713.31, "text": "واضح إن المقام هذا مقدار ثلاثي، لكنه ليس مربعا كاملا، يبقى مشان يصير مربع كامل، لأنها تسعة ناقص أربعة", "tokens": [2407, 46958, 5016, 36145, 9673, 4587, 10943, 23758, 3714, 28543, 9640, 38637, 1211, 5718, 104, 1829, 12399, 44381, 3224, 32239, 3794, 3714, 25513, 3615, 995, 9122, 10943, 15040, 12399, 7251, 3555, 4587, 7578, 37893, 7649, 7251, 9381, 13546, 3714, 25513, 3615, 9122, 10943, 1211, 12399, 5296, 33456, 11296, 6055, 3794, 27884, 8717, 995, 4587, 9381, 5551, 25513, 27884], "avg_logprob": -0.18551377068131658, "compression_ratio": 1.4959349593495934, "no_speech_prob": 0.0, "words": [{"start": 700.67, "end": 701.19, "word": "واضح", "probability": 0.96533203125}, {"start": 701.19, "end": 701.37, "word": " إن", "probability": 0.335205078125}, {"start": 701.37, "end": 701.93, "word": " المقام", "probability": 0.9895833333333334}, {"start": 701.93, "end": 702.25, "word": " هذا", "probability": 0.767578125}, {"start": 702.25, "end": 702.93, "word": " مقدار", "probability": 0.95263671875}, {"start": 702.93, "end": 704.31, "word": " ثلاثي،", "probability": 0.8839518229166666}, {"start": 704.31, "end": 705.25, "word": " لكنه", "probability": 0.953857421875}, {"start": 705.25, "end": 705.83, "word": " ليس", "probability": 0.985107421875}, {"start": 705.83, "end": 706.85, "word": " مربعا", "probability": 0.864501953125}, {"start": 706.85, "end": 708.63, "word": " كاملا،", "probability": 0.8558349609375}, {"start": 708.63, "end": 708.97, "word": " يبقى", "probability": 0.66363525390625}, {"start": 708.97, "end": 709.41, "word": " مشان", "probability": 0.6175537109375}, {"start": 709.41, "end": 709.89, "word": " يصير", "probability": 0.98681640625}, {"start": 709.89, "end": 710.53, "word": " مربع", "probability": 0.990234375}, {"start": 710.53, "end": 710.91, "word": " كامل،", "probability": 0.9088134765625}, {"start": 710.91, "end": 711.39, "word": " لأنها", "probability": 0.755859375}, {"start": 711.39, "end": 711.99, "word": " تسعة", "probability": 0.9373372395833334}, {"start": 711.99, "end": 712.79, "word": " ناقص", "probability": 0.86279296875}, {"start": 712.79, "end": 713.31, "word": " أربعة", "probability": 0.7734375}], "temperature": 1.0}, {"id": 31, "seek": 73371, "start": 713.83, "end": 733.71, "text": "هذا الآن الجزء ممكن اخد منه سالب عام المشترك وبالتالي تقول المسألة من اتنين لخمسة علي اتنين لدي اكس علي تسعة ناقص اكس ثربية ناقص اربعة اكس زائد اربعة", "tokens": [3224, 15730, 6024, 48506, 25724, 11622, 38207, 3714, 43020, 1975, 9778, 3215, 9154, 3224, 8608, 6027, 3555, 6225, 10943, 9673, 8592, 2655, 31747, 46599, 6027, 2655, 6027, 1829, 6055, 39648, 9673, 3794, 10721, 37977, 9154, 1975, 2655, 1863, 9957, 5296, 9778, 2304, 3794, 3660, 25894, 1975, 2655, 1863, 9957, 5296, 16254, 1975, 4117, 3794, 25894, 6055, 3794, 27884, 8717, 995, 4587, 9381, 1975, 4117, 3794, 38637, 25513, 10632, 8717, 995, 4587, 9381, 1975, 25513, 27884, 1975, 4117, 3794, 30767, 16373, 3215, 1975, 25513, 27884], "avg_logprob": -0.18860294328016394, "compression_ratio": 1.875, "no_speech_prob": 0.0, "words": [{"start": 713.83, "end": 714.39, "word": "هذا", "probability": 0.885009765625}, {"start": 714.39, "end": 714.95, "word": " الآن", "probability": 0.54290771484375}, {"start": 714.95, "end": 715.99, "word": " الجزء", "probability": 0.9251302083333334}, {"start": 715.99, "end": 716.83, "word": " ممكن", "probability": 0.96826171875}, {"start": 716.83, "end": 717.35, "word": " اخد", "probability": 0.6809895833333334}, {"start": 717.35, "end": 717.69, "word": " منه", "probability": 0.989501953125}, {"start": 717.69, "end": 718.25, "word": " سالب", "probability": 0.8668619791666666}, {"start": 718.25, "end": 718.59, "word": " عام", "probability": 0.97265625}, {"start": 718.59, "end": 719.45, "word": " المشترك", "probability": 0.8829345703125}, {"start": 719.45, "end": 720.49, "word": " وبالتالي", "probability": 0.91875}, {"start": 720.49, "end": 721.03, "word": " تقول", "probability": 0.718017578125}, {"start": 721.03, "end": 721.81, "word": " المسألة", "probability": 0.9630126953125}, {"start": 721.81, "end": 722.13, "word": " من", "probability": 0.89892578125}, {"start": 722.13, "end": 723.01, "word": " اتنين", "probability": 0.781097412109375}, {"start": 723.01, "end": 724.27, "word": " لخمسة", "probability": 0.948046875}, {"start": 724.27, "end": 724.47, "word": " علي", "probability": 0.322265625}, {"start": 724.47, "end": 725.33, "word": " اتنين", "probability": 0.883056640625}, {"start": 725.33, "end": 726.19, "word": " لدي", "probability": 0.5020751953125}, {"start": 726.19, "end": 726.77, "word": " اكس", "probability": 0.7875162760416666}, {"start": 726.77, "end": 727.37, "word": " علي", "probability": 0.80322265625}, {"start": 727.37, "end": 728.07, "word": " تسعة", "probability": 0.9934895833333334}, {"start": 728.07, "end": 728.85, "word": " ناقص", "probability": 0.9857177734375}, {"start": 728.85, "end": 729.47, "word": " اكس", "probability": 0.91748046875}, {"start": 729.47, "end": 730.11, "word": " ثربية", "probability": 0.6617838541666666}, {"start": 730.11, "end": 731.15, "word": " ناقص", "probability": 0.982666015625}, {"start": 731.15, "end": 731.79, "word": " اربعة", "probability": 0.8245442708333334}, {"start": 731.79, "end": 732.27, "word": " اكس", "probability": 0.9705403645833334}, {"start": 732.27, "end": 733.15, "word": " زائد", "probability": 0.9420572916666666}, {"start": 733.15, "end": 733.71, "word": " اربعة", "probability": 0.8639322916666666}], "temperature": 1.0}, {"id": 32, "seek": 75837, "start": 734.65, "end": 758.37, "text": "يبقى هؤلاء كل ما أخذت منهم إشارة ناقص عامل مشترك اضطررت من 2 ل 5 على 2 لدي x على 9 ناقص هذا مربع كامل هو x ناقص 2 لكل تربيع اللي هو نص و لما تبقى ال x ب 2 بصير ب 0", "tokens": [1829, 3555, 4587, 7578, 8032, 33604, 1211, 16606, 28242, 19446, 5551, 9778, 8848, 2655, 9154, 16095, 11933, 8592, 9640, 3660, 8717, 995, 4587, 9381, 6225, 10943, 1211, 37893, 2655, 31747, 1975, 11242, 9566, 2288, 43500, 9154, 568, 5296, 1025, 15844, 568, 5296, 16254, 2031, 15844, 1722, 8717, 995, 4587, 9381, 23758, 3714, 25513, 3615, 9122, 10943, 1211, 31439, 2031, 8717, 995, 4587, 9381, 568, 5296, 28820, 6055, 2288, 21292, 3615, 13672, 1829, 31439, 8717, 9381, 4032, 5296, 15042, 6055, 3555, 4587, 7578, 2423, 2031, 4724, 568, 4724, 9381, 13546, 4724, 1958], "avg_logprob": -0.2827785332565722, "compression_ratio": 1.625, "no_speech_prob": 0.0, "words": [{"start": 734.65, "end": 735.07, "word": "يبقى", "probability": 0.7156982421875}, {"start": 735.07, "end": 735.45, "word": " هؤلاء", "probability": 0.645111083984375}, {"start": 735.45, "end": 735.75, "word": " كل", "probability": 0.90234375}, {"start": 735.75, "end": 735.93, "word": " ما", "probability": 0.8603515625}, {"start": 735.93, "end": 736.33, "word": " أخذت", "probability": 0.7271728515625}, {"start": 736.33, "end": 736.57, "word": " منهم", "probability": 0.7216796875}, {"start": 736.57, "end": 737.11, "word": " إشارة", "probability": 0.9476318359375}, {"start": 737.11, "end": 737.67, "word": " ناقص", "probability": 0.9285888671875}, {"start": 737.67, "end": 738.13, "word": " عامل", "probability": 0.9150390625}, {"start": 738.13, "end": 738.77, "word": " مشترك", "probability": 0.9404296875}, {"start": 738.77, "end": 739.59, "word": " اضطررت", "probability": 0.5512939453125}, {"start": 739.59, "end": 739.79, "word": " من", "probability": 0.77685546875}, {"start": 739.79, "end": 740.51, "word": " 2", "probability": 0.6640625}, {"start": 740.51, "end": 741.11, "word": " ل", "probability": 0.65966796875}, {"start": 741.11, "end": 741.59, "word": " 5", "probability": 0.463134765625}, {"start": 741.59, "end": 742.01, "word": " على", "probability": 0.3818359375}, {"start": 742.01, "end": 742.75, "word": " 2", "probability": 0.93798828125}, {"start": 742.75, "end": 743.75, "word": " لدي", "probability": 0.591796875}, {"start": 743.75, "end": 744.29, "word": " x", "probability": 0.66455078125}, {"start": 744.29, "end": 744.93, "word": " على", "probability": 0.68408203125}, {"start": 744.93, "end": 745.49, "word": " 9", "probability": 0.9072265625}, {"start": 745.49, "end": 746.13, "word": " ناقص", "probability": 0.9454345703125}, {"start": 746.13, "end": 746.91, "word": " هذا", "probability": 0.76220703125}, {"start": 746.91, "end": 747.67, "word": " مربع", "probability": 0.9431966145833334}, {"start": 747.67, "end": 748.25, "word": " كامل", "probability": 0.9913736979166666}, {"start": 748.25, "end": 748.41, "word": " هو", "probability": 0.44189453125}, {"start": 748.41, "end": 748.87, "word": " x", "probability": 0.9248046875}, {"start": 748.87, "end": 749.55, "word": " ناقص", "probability": 0.9683837890625}, {"start": 749.55, "end": 749.95, "word": " 2", "probability": 0.91455078125}, {"start": 749.95, "end": 750.85, "word": " لكل", "probability": 0.9111328125}, {"start": 750.85, "end": 752.05, "word": " تربيع", "probability": 0.7122802734375}, {"start": 752.05, "end": 753.41, "word": " اللي", "probability": 0.7020263671875}, {"start": 753.41, "end": 753.57, "word": " هو", "probability": 0.97705078125}, {"start": 753.57, "end": 754.05, "word": " نص", "probability": 0.959228515625}, {"start": 754.05, "end": 754.53, "word": " و", "probability": 0.45263671875}, {"start": 754.53, "end": 754.77, "word": " لما", "probability": 0.79052734375}, {"start": 754.77, "end": 755.27, "word": " تبقى", "probability": 0.94775390625}, {"start": 755.27, "end": 755.39, "word": " ال", "probability": 0.82177734375}, {"start": 755.39, "end": 755.73, "word": " x", "probability": 0.72021484375}, {"start": 755.73, "end": 755.95, "word": " ب", "probability": 0.607421875}, {"start": 755.95, "end": 756.43, "word": " 2", "probability": 0.46240234375}, {"start": 756.43, "end": 757.71, "word": " بصير", "probability": 0.7620442708333334}, {"start": 757.71, "end": 758.03, "word": " ب", "probability": 0.77001953125}, {"start": 758.03, "end": 758.37, "word": " 0", "probability": 0.420654296875}], "temperature": 1.0}, {"id": 33, "seek": 78299, "start": 758.99, "end": 782.99, "text": "يبقى صارت هذه المسألة تكامل من Zero لغاية نص ل DT على تسعة ناقص T تربيع للمرة الماضية لما خدنا تكامل واحد على ايه تربيع ناقص X تربيع DT قلنا الجواب واحد على ايه؟ يا تانش انفرس يا اما كتانش انفرس واحدة منهم", "tokens": [1829, 3555, 4587, 7578, 20328, 9640, 2655, 29538, 9673, 3794, 10721, 37977, 6055, 4117, 10943, 1211, 9154, 17182, 5296, 17082, 995, 10632, 8717, 9381, 5296, 413, 51, 15844, 6055, 3794, 27884, 8717, 995, 4587, 9381, 314, 6055, 2288, 21292, 3615, 5296, 19528, 25720, 9673, 46958, 10632, 5296, 15042, 16490, 3215, 8315, 6055, 4117, 10943, 1211, 36764, 24401, 15844, 1975, 1829, 3224, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3615, 413, 51, 12174, 1211, 8315, 25724, 14407, 3555, 36764, 24401, 15844, 1975, 1829, 3224, 22807, 7251, 995, 6055, 7649, 8592, 16472, 5172, 2288, 3794, 35186, 1975, 15042, 9122, 2655, 7649, 8592, 16472, 5172, 2288, 3794, 36764, 24401, 3660, 9154, 16095], "avg_logprob": -0.23913043841071752, "compression_ratio": 1.854922279792746, "no_speech_prob": 0.0, "words": [{"start": 758.99, "end": 759.59, "word": "يبقى", "probability": 0.8944091796875}, {"start": 759.59, "end": 760.15, "word": " صارت", "probability": 0.7176106770833334}, {"start": 760.15, "end": 760.51, "word": " هذه", "probability": 0.93798828125}, {"start": 760.51, "end": 761.39, "word": " المسألة", "probability": 0.9617919921875}, {"start": 761.39, "end": 762.11, "word": " تكامل", "probability": 0.94677734375}, {"start": 762.11, "end": 762.29, "word": " من", "probability": 0.98681640625}, {"start": 762.29, "end": 762.59, "word": " Zero", "probability": 0.2318115234375}, {"start": 762.59, "end": 763.07, "word": " لغاية", "probability": 0.955810546875}, {"start": 763.07, "end": 763.47, "word": " نص", "probability": 0.985595703125}, {"start": 763.47, "end": 763.97, "word": " ل", "probability": 0.7724609375}, {"start": 763.97, "end": 764.49, "word": " DT", "probability": 0.4593505859375}, {"start": 764.49, "end": 764.71, "word": " على", "probability": 0.55712890625}, {"start": 764.71, "end": 765.23, "word": " تسعة", "probability": 0.8435872395833334}, {"start": 765.23, "end": 766.05, "word": " ناقص", "probability": 0.9517822265625}, {"start": 766.05, "end": 766.51, "word": " T", "probability": 0.79833984375}, {"start": 766.51, "end": 767.41, "word": " تربيع", "probability": 0.7691650390625}, {"start": 767.41, "end": 768.41, "word": " للمرة", "probability": 0.6847941080729166}, {"start": 768.41, "end": 769.09, "word": " الماضية", "probability": 0.9923502604166666}, {"start": 769.09, "end": 769.83, "word": " لما", "probability": 0.8720703125}, {"start": 769.83, "end": 770.25, "word": " خدنا", "probability": 0.9327799479166666}, {"start": 770.25, "end": 771.37, "word": " تكامل", "probability": 0.99169921875}, {"start": 771.37, "end": 771.97, "word": " واحد", "probability": 0.965576171875}, {"start": 771.97, "end": 772.19, "word": " على", "probability": 0.84326171875}, {"start": 772.19, "end": 772.53, "word": " ايه", "probability": 0.6712239583333334}, {"start": 772.53, "end": 772.99, "word": " تربيع", "probability": 0.919189453125}, {"start": 772.99, "end": 773.51, "word": " ناقص", "probability": 0.9765625}, {"start": 773.51, "end": 773.85, "word": " X", "probability": 0.92138671875}, {"start": 773.85, "end": 774.67, "word": " تربيع", "probability": 0.9500732421875}, {"start": 774.67, "end": 775.51, "word": " DT", "probability": 0.788330078125}, {"start": 775.51, "end": 776.23, "word": " قلنا", "probability": 0.5916748046875}, {"start": 776.23, "end": 776.53, "word": " الجواب", "probability": 0.5442708333333334}, {"start": 776.53, "end": 776.99, "word": " واحد", "probability": 0.96142578125}, {"start": 776.99, "end": 777.23, "word": " على", "probability": 0.9345703125}, {"start": 777.23, "end": 777.79, "word": " ايه؟", "probability": 0.7808837890625}, {"start": 777.79, "end": 778.19, "word": " يا", "probability": 0.2786865234375}, {"start": 778.19, "end": 778.87, "word": " تانش", "probability": 0.6702473958333334}, {"start": 778.87, "end": 779.67, "word": " انفرس", "probability": 0.76971435546875}, {"start": 779.67, "end": 780.21, "word": " يا", "probability": 0.39697265625}, {"start": 780.21, "end": 780.49, "word": " اما", "probability": 0.71630859375}, {"start": 780.49, "end": 781.57, "word": " كتانش", "probability": 0.9051513671875}, {"start": 781.57, "end": 782.13, "word": " انفرس", "probability": 0.98486328125}, {"start": 782.13, "end": 782.67, "word": " واحدة", "probability": 0.92578125}, {"start": 782.67, "end": 782.99, "word": " منهم", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 34, "seek": 80414, "start": 783.54, "end": 804.14, "text": "بس اشتراك مالا مين؟ ال domain الان التكمل من وين لوين؟ من صفر لغاية نصف يعني في domain التانش inverse و لا ال quotient inverse التانش inverse من سنة واحد لغاية واحد إذا ال automatic إجباري", "tokens": [3555, 3794, 1975, 8592, 2655, 23557, 4117, 3714, 6027, 995, 3714, 9957, 22807, 2423, 9274, 2423, 7649, 16712, 24793, 1211, 9154, 4032, 9957, 5296, 2407, 9957, 22807, 9154, 20328, 5172, 2288, 5296, 17082, 995, 10632, 8717, 9381, 5172, 37495, 22653, 8978, 9274, 16712, 7649, 8592, 17340, 4032, 20193, 2423, 421, 310, 1196, 17340, 16712, 7649, 8592, 17340, 9154, 8608, 1863, 3660, 36764, 24401, 5296, 17082, 995, 10632, 36764, 24401, 11933, 15730, 2423, 12509, 11933, 7435, 3555, 9640, 1829], "avg_logprob": -0.2875791124150723, "compression_ratio": 1.6820809248554913, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 783.54, "end": 783.98, "word": "بس", "probability": 0.863037109375}, {"start": 783.98, "end": 784.68, "word": " اشتراك", "probability": 0.91279296875}, {"start": 784.68, "end": 785.02, "word": " مالا", "probability": 0.463134765625}, {"start": 785.02, "end": 785.62, "word": " مين؟", "probability": 0.8038736979166666}, {"start": 785.62, "end": 785.76, "word": " ال", "probability": 0.72021484375}, {"start": 785.76, "end": 786.08, "word": " domain", "probability": 0.947265625}, {"start": 786.08, "end": 787.0, "word": " الان", "probability": 0.6162109375}, {"start": 787.0, "end": 787.6, "word": " التكمل", "probability": 0.9166666666666666}, {"start": 787.6, "end": 787.74, "word": " من", "probability": 0.98095703125}, {"start": 787.74, "end": 788.0, "word": " وين", "probability": 0.735595703125}, {"start": 788.0, "end": 788.72, "word": " لوين؟", "probability": 0.780029296875}, {"start": 788.72, "end": 790.02, "word": " من", "probability": 0.912109375}, {"start": 790.02, "end": 790.52, "word": " صفر", "probability": 0.9287109375}, {"start": 790.52, "end": 791.08, "word": " لغاية", "probability": 0.977783203125}, {"start": 791.08, "end": 791.64, "word": " نصف", "probability": 0.8655598958333334}, {"start": 791.64, "end": 792.04, "word": " يعني", "probability": 0.797119140625}, {"start": 792.04, "end": 792.28, "word": " في", "probability": 0.87890625}, {"start": 792.28, "end": 793.1, "word": " domain", "probability": 0.90966796875}, {"start": 793.1, "end": 794.34, "word": " التانش", "probability": 0.7184244791666666}, {"start": 794.34, "end": 794.92, "word": " inverse", "probability": 0.794921875}, {"start": 794.92, "end": 795.16, "word": " و", "probability": 0.294921875}, {"start": 795.16, "end": 795.32, "word": " لا", "probability": 0.94677734375}, {"start": 795.32, "end": 795.46, "word": " ال", "probability": 0.6298828125}, {"start": 795.46, "end": 795.96, "word": " quotient", "probability": 0.5365193684895834}, {"start": 795.96, "end": 796.56, "word": " inverse", "probability": 0.93310546875}, {"start": 796.56, "end": 797.76, "word": " التانش", "probability": 0.7242024739583334}, {"start": 797.76, "end": 798.24, "word": " inverse", "probability": 0.93115234375}, {"start": 798.24, "end": 799.34, "word": " من", "probability": 0.5556640625}, {"start": 799.34, "end": 799.72, "word": " سنة", "probability": 0.61376953125}, {"start": 799.72, "end": 800.28, "word": " واحد", "probability": 0.869384765625}, {"start": 800.28, "end": 801.44, "word": " لغاية", "probability": 0.9818115234375}, {"start": 801.44, "end": 801.94, "word": " واحد", "probability": 0.9833984375}, {"start": 801.94, "end": 802.54, "word": " إذا", "probability": 0.531494140625}, {"start": 802.54, "end": 802.72, "word": " ال", "probability": 0.6171875}, {"start": 802.72, "end": 803.2, "word": " automatic", "probability": 0.88232421875}, {"start": 803.2, "end": 804.14, "word": " إجباري", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 35, "seek": 82952, "start": 804.4, "end": 829.52, "text": "هذه النتيجة ستعطينا تلت تانش انفرس T على تلاتة كله من عند ال zero لغاية ميم لغاية نص تمام يبقى هذا يستوي تلت تانش انفرس لميم لمص على تلت اللي هو بقداش بست", "tokens": [3224, 24192, 28239, 31371, 7435, 3660, 8608, 2655, 3615, 9566, 1829, 8315, 6055, 1211, 2655, 6055, 7649, 8592, 16472, 5172, 2288, 3794, 314, 15844, 6055, 1211, 9307, 3660, 28242, 3224, 9154, 43242, 2423, 4018, 5296, 17082, 995, 10632, 3714, 32640, 5296, 17082, 995, 10632, 8717, 9381, 46811, 10943, 7251, 3555, 4587, 7578, 23758, 7251, 14851, 45865, 6055, 1211, 2655, 6055, 7649, 8592, 16472, 5172, 2288, 3794, 32767, 32640, 32767, 9381, 15844, 6055, 1211, 2655, 13672, 1829, 31439, 4724, 28543, 33599, 4724, 14851], "avg_logprob": -0.3533508978694318, "compression_ratio": 1.7151898734177216, "no_speech_prob": 0.0, "words": [{"start": 804.4, "end": 804.94, "word": "هذه", "probability": 0.5362548828125}, {"start": 804.94, "end": 805.6, "word": " النتيجة", "probability": 0.927490234375}, {"start": 805.6, "end": 807.06, "word": " ستعطينا", "probability": 0.5684611002604166}, {"start": 807.06, "end": 808.04, "word": " تلت", "probability": 0.8465169270833334}, {"start": 808.04, "end": 809.9, "word": " تانش", "probability": 0.7056884765625}, {"start": 809.9, "end": 811.04, "word": " انفرس", "probability": 0.7369384765625}, {"start": 811.04, "end": 811.82, "word": " T", "probability": 0.435302734375}, {"start": 811.82, "end": 812.58, "word": " على", "probability": 0.619140625}, {"start": 812.58, "end": 813.72, "word": " تلاتة", "probability": 0.8642578125}, {"start": 813.72, "end": 814.38, "word": " كله", "probability": 0.7607421875}, {"start": 814.38, "end": 814.54, "word": " من", "probability": 0.89404296875}, {"start": 814.54, "end": 814.88, "word": " عند", "probability": 0.29443359375}, {"start": 814.88, "end": 815.12, "word": " ال", "probability": 0.64111328125}, {"start": 815.12, "end": 815.46, "word": " zero", "probability": 0.26123046875}, {"start": 815.46, "end": 816.18, "word": " لغاية", "probability": 0.9688720703125}, {"start": 816.18, "end": 816.6, "word": " ميم", "probability": 0.33270263671875}, {"start": 816.6, "end": 817.64, "word": " لغاية", "probability": 0.8995361328125}, {"start": 817.64, "end": 818.18, "word": " نص", "probability": 0.9853515625}, {"start": 818.18, "end": 819.24, "word": " تمام", "probability": 0.59747314453125}, {"start": 819.24, "end": 820.14, "word": " يبقى", "probability": 0.81817626953125}, {"start": 820.14, "end": 820.52, "word": " هذا", "probability": 0.90234375}, {"start": 820.52, "end": 821.44, "word": " يستوي", "probability": 0.5704752604166666}, {"start": 821.44, "end": 822.26, "word": " تلت", "probability": 0.9270833333333334}, {"start": 822.26, "end": 823.12, "word": " تانش", "probability": 0.9581705729166666}, {"start": 823.12, "end": 824.38, "word": " انفرس", "probability": 0.9825439453125}, {"start": 824.38, "end": 825.42, "word": " لميم", "probability": 0.873779296875}, {"start": 825.42, "end": 827.38, "word": " لمص", "probability": 0.705810546875}, {"start": 827.38, "end": 827.7, "word": " على", "probability": 0.8466796875}, {"start": 827.7, "end": 828.14, "word": " تلت", "probability": 0.9853515625}, {"start": 828.14, "end": 828.28, "word": " اللي", "probability": 0.63232421875}, {"start": 828.28, "end": 828.42, "word": " هو", "probability": 0.98486328125}, {"start": 828.42, "end": 829.08, "word": " بقداش", "probability": 0.6975911458333334}, {"start": 829.08, "end": 829.52, "word": " بست", "probability": 0.58135986328125}], "temperature": 1.0}, {"id": 36, "seek": 85367, "start": 830.47, "end": 853.67, "text": "نقص تانش اللتي حطلهم ست دوال لغارتمية كل واحدة بيقابلها واحدة على النحو التالي اذا بنروح على ال exercises تبعت التمرين و بنيجي بناخد منها العنوان التالي اللي هو logarithm formulas", "tokens": [1863, 4587, 9381, 6055, 7649, 8592, 13672, 31371, 11331, 9566, 1211, 16095, 8608, 2655, 11778, 2407, 6027, 5296, 17082, 9640, 39237, 10632, 28242, 36764, 24401, 3660, 4724, 1829, 4587, 16758, 1211, 11296, 36764, 24401, 3660, 15844, 28239, 5016, 2407, 16712, 6027, 1829, 1975, 15730, 44945, 32887, 5016, 15844, 2423, 11900, 6055, 3555, 34268, 16712, 29973, 9957, 4032, 44945, 1829, 7435, 1829, 44945, 47283, 3215, 9154, 11296, 18863, 1863, 2407, 7649, 16712, 6027, 1829, 13672, 1829, 31439, 41473, 32674, 30546], "avg_logprob": -0.2074218751862645, "compression_ratio": 1.6149732620320856, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 830.47, "end": 831.53, "word": "نقص", "probability": 0.6648763020833334}, {"start": 831.53, "end": 832.79, "word": " تانش", "probability": 0.8671875}, {"start": 832.79, "end": 833.31, "word": " اللتي", "probability": 0.421142578125}, {"start": 833.31, "end": 834.65, "word": " حطلهم", "probability": 0.7564697265625}, {"start": 834.65, "end": 835.41, "word": " ست", "probability": 0.76025390625}, {"start": 835.41, "end": 836.17, "word": " دوال", "probability": 0.5927734375}, {"start": 836.17, "end": 837.35, "word": " لغارتمية", "probability": 0.743212890625}, {"start": 837.35, "end": 837.93, "word": " كل", "probability": 0.80712890625}, {"start": 837.93, "end": 838.49, "word": " واحدة", "probability": 0.9788411458333334}, {"start": 838.49, "end": 839.17, "word": " بيقابلها", "probability": 0.892822265625}, {"start": 839.17, "end": 839.59, "word": " واحدة", "probability": 0.9737955729166666}, {"start": 839.59, "end": 839.79, "word": " على", "probability": 0.9306640625}, {"start": 839.79, "end": 840.41, "word": " النحو", "probability": 0.90380859375}, {"start": 840.41, "end": 841.07, "word": " التالي", "probability": 0.982421875}, {"start": 841.07, "end": 841.83, "word": " اذا", "probability": 0.7237548828125}, {"start": 841.83, "end": 842.43, "word": " بنروح", "probability": 0.8797200520833334}, {"start": 842.43, "end": 842.67, "word": " على", "probability": 0.8330078125}, {"start": 842.67, "end": 842.85, "word": " ال", "probability": 0.96728515625}, {"start": 842.85, "end": 843.57, "word": " exercises", "probability": 0.923828125}, {"start": 843.57, "end": 844.13, "word": " تبعت", "probability": 0.6617838541666666}, {"start": 844.13, "end": 844.87, "word": " التمرين", "probability": 0.9143880208333334}, {"start": 844.87, "end": 845.57, "word": " و", "probability": 0.693359375}, {"start": 845.57, "end": 846.03, "word": " بنيجي", "probability": 0.78662109375}, {"start": 846.03, "end": 846.57, "word": " بناخد", "probability": 0.9541015625}, {"start": 846.57, "end": 846.83, "word": " منها", "probability": 0.9892578125}, {"start": 846.83, "end": 847.63, "word": " العنوان", "probability": 0.9697265625}, {"start": 847.63, "end": 848.85, "word": " التالي", "probability": 0.9884440104166666}, {"start": 848.85, "end": 849.41, "word": " اللي", "probability": 0.974853515625}, {"start": 849.41, "end": 849.63, "word": " هو", "probability": 0.98583984375}, {"start": 849.63, "end": 850.91, "word": " logarithm", "probability": 0.961669921875}, {"start": 850.91, "end": 853.67, "word": " formulas", "probability": 0.7529296875}], "temperature": 1.0}, {"id": 37, "seek": 86332, "start": 855.88, "end": 863.32, "text": "القواعد اللغريتمية for inverse hyperbolic functions", "tokens": [6027, 4587, 14407, 22488, 13672, 17082, 16572, 39237, 10632, 337, 17340, 9848, 65, 7940, 6828], "avg_logprob": -0.2467041090130806, "compression_ratio": 0.9066666666666666, "no_speech_prob": 0.0, "words": [{"start": 855.88, "end": 856.76, "word": "القواعد", "probability": 0.9345703125}, {"start": 856.76, "end": 857.96, "word": " اللغريتمية", "probability": 0.745166015625}, {"start": 857.96, "end": 859.14, "word": " for", "probability": 0.52490234375}, {"start": 859.14, "end": 860.56, "word": " inverse", "probability": 0.91357421875}, {"start": 860.56, "end": 862.28, "word": " hyperbolic", "probability": 0.9456380208333334}, {"start": 862.28, "end": 863.32, "word": " functions", "probability": 0.783203125}], "temperature": 1.0}, {"id": 38, "seek": 89038, "start": 868.88, "end": 890.38, "text": "في عندنا ست قواعد القاعدة الأولى بيقول لي sin inverse x يساوي ln x زائد الجذر التربية إلى x تربية زائد واحد وال x greater سالب infinity وأقل من ال infinity", "tokens": [41185, 43242, 8315, 8608, 2655, 12174, 14407, 22488, 25062, 995, 22488, 3660, 16247, 12610, 7578, 4724, 1829, 39648, 32239, 3343, 17340, 2031, 7251, 3794, 995, 45865, 44166, 2031, 30767, 16373, 3215, 25724, 8848, 2288, 16712, 25513, 10632, 30731, 2031, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 16070, 2031, 5044, 8608, 6027, 3555, 13202, 36725, 4587, 1211, 9154, 2423, 13202], "avg_logprob": -0.3627049238955388, "compression_ratio": 1.4968944099378882, "no_speech_prob": 0.0, "words": [{"start": 868.88, "end": 869.18, "word": "في", "probability": 0.07659912109375}, {"start": 869.18, "end": 870.12, "word": " عندنا", "probability": 0.5545654296875}, {"start": 870.12, "end": 870.66, "word": " ست", "probability": 0.73583984375}, {"start": 870.66, "end": 871.3, "word": " قواعد", "probability": 0.9103190104166666}, {"start": 871.3, "end": 872.1, "word": " القاعدة", "probability": 0.9517822265625}, {"start": 872.1, "end": 872.78, "word": " الأولى", "probability": 0.9558919270833334}, {"start": 872.78, "end": 873.52, "word": " بيقول", "probability": 0.8212890625}, {"start": 873.52, "end": 873.74, "word": " لي", "probability": 0.037261962890625}, {"start": 873.74, "end": 874.24, "word": " sin", "probability": 0.3837890625}, {"start": 874.24, "end": 875.48, "word": " inverse", "probability": 0.4248046875}, {"start": 875.48, "end": 876.2, "word": " x", "probability": 0.6572265625}, {"start": 876.2, "end": 877.42, "word": " يساوي", "probability": 0.7984619140625}, {"start": 877.42, "end": 877.94, "word": " ln", "probability": 0.3134765625}, {"start": 877.94, "end": 878.7, "word": " x", "probability": 0.97509765625}, {"start": 878.7, "end": 879.52, "word": " زائد", "probability": 0.85791015625}, {"start": 879.52, "end": 880.06, "word": " الجذر", "probability": 0.7928059895833334}, {"start": 880.06, "end": 880.78, "word": " التربية", "probability": 0.8185221354166666}, {"start": 880.78, "end": 881.04, "word": " إلى", "probability": 0.73046875}, {"start": 881.04, "end": 881.38, "word": " x", "probability": 0.95751953125}, {"start": 881.38, "end": 882.0, "word": " تربية", "probability": 0.9104817708333334}, {"start": 882.0, "end": 882.64, "word": " زائد", "probability": 0.9519856770833334}, {"start": 882.64, "end": 883.2, "word": " واحد", "probability": 0.940185546875}, {"start": 883.2, "end": 883.92, "word": " وال", "probability": 0.63720703125}, {"start": 883.92, "end": 884.36, "word": " x", "probability": 0.362060546875}, {"start": 884.36, "end": 884.92, "word": " greater", "probability": 0.75146484375}, {"start": 884.92, "end": 885.66, "word": " سالب", "probability": 0.8907877604166666}, {"start": 885.66, "end": 886.48, "word": " infinity", "probability": 0.798828125}, {"start": 886.48, "end": 887.42, "word": " وأقل", "probability": 0.7181803385416666}, {"start": 887.42, "end": 888.24, "word": " من", "probability": 0.986328125}, {"start": 888.24, "end": 888.52, "word": " ال", "probability": 0.873046875}, {"start": 888.52, "end": 890.38, "word": " infinity", "probability": 0.1243896484375}], "temperature": 1.0}, {"id": 39, "seek": 91529, "start": 891.35, "end": 915.29, "text": "يبقى هاي كتابة معكوس essential بدل الاثنين ال natural لغة رتم نمر اتنين ال gosh inverse x يساوي الان x زائد الجدرى التربية الى x تربية ناقص واحد بالشكل ان هذا و ال x greater than or equal to one", "tokens": [1829, 3555, 4587, 7578, 8032, 47302, 9122, 2655, 16758, 3660, 20449, 4117, 41779, 7115, 47525, 1211, 2423, 5718, 104, 1863, 9957, 2423, 3303, 5296, 17082, 3660, 12602, 39237, 8717, 29973, 1975, 2655, 1863, 9957, 2423, 6502, 17340, 2031, 7251, 3794, 995, 45865, 2423, 7649, 2031, 30767, 16373, 3215, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 2423, 7578, 2031, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401, 20666, 8592, 28820, 16472, 23758, 4032, 2423, 2031, 5044, 813, 420, 2681, 281, 472], "avg_logprob": -0.3382240806410952, "compression_ratio": 1.4824120603015076, "no_speech_prob": 0.0, "words": [{"start": 891.35, "end": 892.03, "word": "يبقى", "probability": 0.88134765625}, {"start": 892.03, "end": 892.35, "word": " هاي", "probability": 0.52490234375}, {"start": 892.35, "end": 893.01, "word": " كتابة", "probability": 0.9879150390625}, {"start": 893.01, "end": 893.87, "word": " معكوس", "probability": 0.7620442708333334}, {"start": 893.87, "end": 894.75, "word": " essential", "probability": 0.08209228515625}, {"start": 894.75, "end": 895.51, "word": " بدل", "probability": 0.6875}, {"start": 895.51, "end": 896.15, "word": " الاثنين", "probability": 0.6958740234375}, {"start": 896.15, "end": 896.45, "word": " ال", "probability": 0.7412109375}, {"start": 896.45, "end": 896.91, "word": " natural", "probability": 0.299072265625}, {"start": 896.91, "end": 897.49, "word": " لغة", "probability": 0.875}, {"start": 897.49, "end": 897.87, "word": " رتم", "probability": 0.4703369140625}, {"start": 897.87, "end": 898.57, "word": " نمر", "probability": 0.342041015625}, {"start": 898.57, "end": 899.57, "word": " اتنين", "probability": 0.9332275390625}, {"start": 899.57, "end": 900.17, "word": " ال", "probability": 0.49462890625}, {"start": 900.17, "end": 900.81, "word": " gosh", "probability": 0.34619140625}, {"start": 900.81, "end": 901.95, "word": " inverse", "probability": 0.9267578125}, {"start": 901.95, "end": 902.59, "word": " x", "probability": 0.77490234375}, {"start": 902.59, "end": 903.39, "word": " يساوي", "probability": 0.771728515625}, {"start": 903.39, "end": 903.93, "word": " الان", "probability": 0.263916015625}, {"start": 903.93, "end": 904.91, "word": " x", "probability": 0.87109375}, {"start": 904.91, "end": 905.55, "word": " زائد", "probability": 0.9226888020833334}, {"start": 905.55, "end": 906.17, "word": " الجدرى", "probability": 0.6978759765625}, {"start": 906.17, "end": 906.75, "word": " التربية", "probability": 0.8362630208333334}, {"start": 906.75, "end": 907.05, "word": " الى", "probability": 0.762939453125}, {"start": 907.05, "end": 907.35, "word": " x", "probability": 0.9482421875}, {"start": 907.35, "end": 907.91, "word": " تربية", "probability": 0.84912109375}, {"start": 907.91, "end": 909.13, "word": " ناقص", "probability": 0.982177734375}, {"start": 909.13, "end": 909.83, "word": " واحد", "probability": 0.9443359375}, {"start": 909.83, "end": 910.35, "word": " بالشكل", "probability": 0.9689127604166666}, {"start": 910.35, "end": 910.65, "word": " ان", "probability": 0.51611328125}, {"start": 910.65, "end": 911.07, "word": " هذا", "probability": 0.828125}, {"start": 911.07, "end": 911.81, "word": " و", "probability": 0.339599609375}, {"start": 911.81, "end": 912.09, "word": " ال", "probability": 0.74462890625}, {"start": 912.09, "end": 912.57, "word": " x", "probability": 0.78564453125}, {"start": 912.57, "end": 913.17, "word": " greater", "probability": 0.61181640625}, {"start": 913.17, "end": 913.81, "word": " than", "probability": 0.93359375}, {"start": 913.81, "end": 914.25, "word": " or", "probability": 0.91943359375}, {"start": 914.25, "end": 914.59, "word": " equal", "probability": 0.93408203125}, {"start": 914.59, "end": 915.05, "word": " to", "probability": 0.96728515625}, {"start": 915.05, "end": 915.29, "word": " one", "probability": 0.85498046875}], "temperature": 1.0}, {"id": 40, "seek": 93170, "start": 915.94, "end": 931.7, "text": "نمر تلاتة بدنا تانش inverse x يبقى نص لين واحد زايد x على واحد ناقص x وال absolute value لل x أقل من الواحد", "tokens": [1863, 29973, 6055, 1211, 9307, 3660, 47525, 8315, 6055, 7649, 8592, 17340, 2031, 7251, 3555, 4587, 7578, 8717, 9381, 5296, 9957, 36764, 24401, 30767, 995, 25708, 2031, 15844, 36764, 24401, 8717, 995, 4587, 9381, 2031, 16070, 8236, 2158, 24976, 2031, 5551, 4587, 1211, 9154, 2423, 14407, 24401], "avg_logprob": -0.23974609343955913, "compression_ratio": 1.2945736434108528, "no_speech_prob": 0.0, "words": [{"start": 915.94, "end": 916.44, "word": "نمر", "probability": 0.603271484375}, {"start": 916.44, "end": 917.44, "word": " تلاتة", "probability": 0.84625244140625}, {"start": 917.44, "end": 918.08, "word": " بدنا", "probability": 0.65625}, {"start": 918.08, "end": 919.28, "word": " تانش", "probability": 0.708984375}, {"start": 919.28, "end": 920.34, "word": " inverse", "probability": 0.896484375}, {"start": 920.34, "end": 921.08, "word": " x", "probability": 0.71923828125}, {"start": 921.08, "end": 922.08, "word": " يبقى", "probability": 0.9735107421875}, {"start": 922.08, "end": 922.54, "word": " نص", "probability": 0.93359375}, {"start": 922.54, "end": 923.22, "word": " لين", "probability": 0.380859375}, {"start": 923.22, "end": 924.18, "word": " واحد", "probability": 0.930908203125}, {"start": 924.18, "end": 924.78, "word": " زايد", "probability": 0.7945963541666666}, {"start": 924.78, "end": 925.12, "word": " x", "probability": 0.94091796875}, {"start": 925.12, "end": 925.86, "word": " على", "probability": 0.5556640625}, {"start": 925.86, "end": 926.4, "word": " واحد", "probability": 0.986083984375}, {"start": 926.4, "end": 927.04, "word": " ناقص", "probability": 0.9779052734375}, {"start": 927.04, "end": 927.48, "word": " x", "probability": 0.97998046875}, {"start": 927.48, "end": 928.08, "word": " وال", "probability": 0.69970703125}, {"start": 928.08, "end": 928.74, "word": " absolute", "probability": 0.529296875}, {"start": 928.74, "end": 929.36, "word": " value", "probability": 0.9921875}, {"start": 929.36, "end": 929.6, "word": " لل", "probability": 0.71435546875}, {"start": 929.6, "end": 930.0, "word": " x", "probability": 0.78662109375}, {"start": 930.0, "end": 930.9, "word": " أقل", "probability": 0.9124348958333334}, {"start": 930.9, "end": 931.16, "word": " من", "probability": 0.9931640625}, {"start": 931.16, "end": 931.7, "word": " الواحد", "probability": 0.82177734375}], "temperature": 1.0}, {"id": 41, "seek": 95671, "start": 932.43, "end": 956.71, "text": "نمرا أربعة بدنا cot inverse x يساوي نص len x زائد واحد على x ناقص واحد وال absolute value x greater than one نمرا خمسة بدنا sich inverse x يساوي len", "tokens": [1863, 2304, 23557, 5551, 25513, 27884, 47525, 8315, 26529, 17340, 2031, 7251, 3794, 995, 45865, 8717, 9381, 40116, 2031, 30767, 16373, 3215, 36764, 24401, 15844, 2031, 8717, 995, 4587, 9381, 36764, 24401, 16070, 8236, 2158, 2031, 5044, 813, 472, 8717, 2304, 23557, 16490, 2304, 3794, 3660, 47525, 8315, 3041, 17340, 2031, 7251, 3794, 995, 45865, 40116], "avg_logprob": -0.3061951712558144, "compression_ratio": 1.4081632653061225, "no_speech_prob": 0.0, "words": [{"start": 932.43, "end": 933.11, "word": "نمرا", "probability": 0.3662109375}, {"start": 933.11, "end": 934.09, "word": " أربعة", "probability": 0.7618815104166666}, {"start": 934.09, "end": 935.07, "word": " بدنا", "probability": 0.688232421875}, {"start": 935.07, "end": 935.47, "word": " cot", "probability": 0.4384765625}, {"start": 935.47, "end": 936.63, "word": " inverse", "probability": 0.499267578125}, {"start": 936.63, "end": 937.45, "word": " x", "probability": 0.77734375}, {"start": 937.45, "end": 938.59, "word": " يساوي", "probability": 0.792724609375}, {"start": 938.59, "end": 939.11, "word": " نص", "probability": 0.980712890625}, {"start": 939.11, "end": 940.07, "word": " len", "probability": 0.53271484375}, {"start": 940.07, "end": 940.91, "word": " x", "probability": 0.951171875}, {"start": 940.91, "end": 941.61, "word": " زائد", "probability": 0.87890625}, {"start": 941.61, "end": 942.23, "word": " واحد", "probability": 0.959716796875}, {"start": 942.23, "end": 942.99, "word": " على", "probability": 0.426513671875}, {"start": 942.99, "end": 943.41, "word": " x", "probability": 0.939453125}, {"start": 943.41, "end": 943.97, "word": " ناقص", "probability": 0.9517822265625}, {"start": 943.97, "end": 944.59, "word": " واحد", "probability": 0.986572265625}, {"start": 944.59, "end": 945.13, "word": " وال", "probability": 0.488525390625}, {"start": 945.13, "end": 945.67, "word": " absolute", "probability": 0.64013671875}, {"start": 945.67, "end": 946.25, "word": " value", "probability": 0.9833984375}, {"start": 946.25, "end": 946.69, "word": " x", "probability": 0.1795654296875}, {"start": 946.69, "end": 947.21, "word": " greater", "probability": 0.77197265625}, {"start": 947.21, "end": 947.89, "word": " than", "probability": 0.9423828125}, {"start": 947.89, "end": 948.33, "word": " one", "probability": 0.83251953125}, {"start": 948.33, "end": 949.67, "word": " نمرا", "probability": 0.8727213541666666}, {"start": 949.67, "end": 950.97, "word": " خمسة", "probability": 0.9261474609375}, {"start": 950.97, "end": 952.11, "word": " بدنا", "probability": 0.974609375}, {"start": 952.11, "end": 952.61, "word": " sich", "probability": 0.097900390625}, {"start": 952.61, "end": 953.79, "word": " inverse", "probability": 0.9404296875}, {"start": 953.79, "end": 954.59, "word": " x", "probability": 0.9931640625}, {"start": 954.59, "end": 955.91, "word": " يساوي", "probability": 0.9749755859375}, {"start": 955.91, "end": 956.71, "word": " len", "probability": 0.57861328125}], "temperature": 1.0}, {"id": 42, "seek": 97682, "start": 957.84, "end": 976.82, "text": "قص واحد زائد الجدري التربيعي لمن؟ لواحد ناقص x تربيع كله مقسوما على x و ال x هذه اكبر من zero اقل من او تساوي واحد", "tokens": [4587, 9381, 36764, 24401, 30767, 16373, 3215, 25724, 3215, 16572, 16712, 2288, 21292, 3615, 1829, 5296, 27842, 22807, 5296, 14407, 24401, 8717, 995, 4587, 9381, 2031, 6055, 2288, 21292, 3615, 28242, 3224, 3714, 4587, 3794, 2407, 15042, 15844, 2031, 4032, 2423, 2031, 29538, 1975, 4117, 26890, 9154, 4018, 1975, 4587, 1211, 9154, 1975, 2407, 6055, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.2710040964064051, "compression_ratio": 1.4961832061068703, "no_speech_prob": 0.0, "words": [{"start": 957.84, "end": 958.6, "word": "قص", "probability": 0.36260986328125}, {"start": 958.6, "end": 959.22, "word": " واحد", "probability": 0.7132568359375}, {"start": 959.22, "end": 959.72, "word": " زائد", "probability": 0.8287760416666666}, {"start": 959.72, "end": 960.42, "word": " الجدري", "probability": 0.87255859375}, {"start": 960.42, "end": 961.56, "word": " التربيعي", "probability": 0.827392578125}, {"start": 961.56, "end": 963.02, "word": " لمن؟", "probability": 0.6360677083333334}, {"start": 963.02, "end": 964.44, "word": " لواحد", "probability": 0.8546549479166666}, {"start": 964.44, "end": 965.18, "word": " ناقص", "probability": 0.9832763671875}, {"start": 965.18, "end": 965.54, "word": " x", "probability": 0.43408203125}, {"start": 965.54, "end": 966.36, "word": " تربيع", "probability": 0.853759765625}, {"start": 966.36, "end": 967.14, "word": " كله", "probability": 0.92822265625}, {"start": 967.14, "end": 967.98, "word": " مقسوما", "probability": 0.789306640625}, {"start": 967.98, "end": 969.24, "word": " على", "probability": 0.78662109375}, {"start": 969.24, "end": 969.94, "word": " x", "probability": 0.91845703125}, {"start": 969.94, "end": 970.52, "word": " و", "probability": 0.31787109375}, {"start": 970.52, "end": 970.72, "word": " ال", "probability": 0.58154296875}, {"start": 970.72, "end": 971.22, "word": " x", "probability": 0.63232421875}, {"start": 971.22, "end": 971.8, "word": " هذه", "probability": 0.4609375}, {"start": 971.8, "end": 972.86, "word": " اكبر", "probability": 0.8086751302083334}, {"start": 972.86, "end": 973.1, "word": " من", "probability": 0.99462890625}, {"start": 973.1, "end": 973.54, "word": " zero", "probability": 0.240478515625}, {"start": 973.54, "end": 974.42, "word": " اقل", "probability": 0.9547526041666666}, {"start": 974.42, "end": 974.66, "word": " من", "probability": 0.97216796875}, {"start": 974.66, "end": 975.02, "word": " او", "probability": 0.91162109375}, {"start": 975.02, "end": 975.86, "word": " تساوي", "probability": 0.96728515625}, {"start": 975.86, "end": 976.82, "word": " واحد", "probability": 0.974853515625}], "temperature": 1.0}, {"id": 43, "seek": 99970, "start": 977.06, "end": 999.7, "text": "نمره 6 و سيش inverse x يساوي لم 1 على x زائد الجذر التربيعي ل 1 زائد x تربيع على absolute value ل x بالشكل أن هذا و ال x لا تساوي 0", "tokens": [1863, 29973, 3224, 1386, 4032, 8608, 1829, 8592, 17340, 2031, 7251, 3794, 995, 45865, 32767, 502, 15844, 2031, 30767, 16373, 3215, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 1829, 5296, 502, 30767, 16373, 3215, 2031, 6055, 2288, 21292, 3615, 15844, 8236, 2158, 5296, 2031, 20666, 8592, 28820, 14739, 23758, 4032, 2423, 2031, 20193, 6055, 3794, 995, 45865, 1958], "avg_logprob": -0.326800842406386, "compression_ratio": 1.3958333333333333, "no_speech_prob": 0.0, "words": [{"start": 977.06, "end": 977.84, "word": "نمره", "probability": 0.5897623697916666}, {"start": 977.84, "end": 978.36, "word": " 6", "probability": 0.66650390625}, {"start": 978.36, "end": 979.02, "word": " و", "probability": 0.4765625}, {"start": 979.02, "end": 979.5, "word": " سيش", "probability": 0.5845540364583334}, {"start": 979.5, "end": 980.24, "word": " inverse", "probability": 0.92138671875}, {"start": 980.24, "end": 980.86, "word": " x", "probability": 0.67724609375}, {"start": 980.86, "end": 982.02, "word": " يساوي", "probability": 0.7606201171875}, {"start": 982.02, "end": 982.54, "word": " لم", "probability": 0.65283203125}, {"start": 982.54, "end": 983.72, "word": " 1", "probability": 0.63818359375}, {"start": 983.72, "end": 984.42, "word": " على", "probability": 0.51611328125}, {"start": 984.42, "end": 985.0, "word": " x", "probability": 0.9697265625}, {"start": 985.0, "end": 985.98, "word": " زائد", "probability": 0.7762044270833334}, {"start": 985.98, "end": 986.62, "word": " الجذر", "probability": 0.623779296875}, {"start": 986.62, "end": 987.76, "word": " التربيعي", "probability": 0.8138671875}, {"start": 987.76, "end": 988.28, "word": " ل", "probability": 0.7685546875}, {"start": 988.28, "end": 988.8, "word": " 1", "probability": 0.6806640625}, {"start": 988.8, "end": 989.88, "word": " زائد", "probability": 0.760986328125}, {"start": 989.88, "end": 990.2, "word": " x", "probability": 0.9453125}, {"start": 990.2, "end": 990.96, "word": " تربيع", "probability": 0.8662109375}, {"start": 990.96, "end": 991.52, "word": " على", "probability": 0.859375}, {"start": 991.52, "end": 992.02, "word": " absolute", "probability": 0.92626953125}, {"start": 992.02, "end": 992.94, "word": " value", "probability": 0.994140625}, {"start": 992.94, "end": 993.66, "word": " ل", "probability": 0.908203125}, {"start": 993.66, "end": 994.26, "word": " x", "probability": 0.7412109375}, {"start": 994.26, "end": 995.2, "word": " بالشكل", "probability": 0.9396158854166666}, {"start": 995.2, "end": 995.54, "word": " أن", "probability": 0.3154296875}, {"start": 995.54, "end": 996.04, "word": " هذا", "probability": 0.93408203125}, {"start": 996.04, "end": 996.58, "word": " و", "probability": 0.42626953125}, {"start": 996.58, "end": 996.72, "word": " ال", "probability": 0.74853515625}, {"start": 996.72, "end": 997.24, "word": " x", "probability": 0.80517578125}, {"start": 997.24, "end": 997.94, "word": " لا", "probability": 0.6640625}, {"start": 997.94, "end": 999.18, "word": " تساوي", "probability": 0.967041015625}, {"start": 999.18, "end": 999.7, "word": " 0", "probability": 0.57958984375}], "temperature": 1.0}, {"id": 44, "seek": 101424, "start": 1005.88, "end": 1014.24, "text": "إذا لو روحنا على الكتاب و لجينا كان السؤال هذا في الكتاب ممكن مالاجيش الإجابة هذه", "tokens": [28814, 15730, 45164, 12602, 2407, 5016, 8315, 15844, 33251, 2655, 16758, 4032, 5296, 7435, 1829, 8315, 25961, 21136, 33604, 6027, 23758, 8978, 33251, 2655, 16758, 3714, 43020, 19446, 1211, 26108, 1829, 8592, 33688, 7435, 16758, 3660, 29538], "avg_logprob": -0.18421053258996262, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 1005.88, "end": 1006.24, "word": "إذا", "probability": 0.740234375}, {"start": 1006.24, "end": 1006.48, "word": " لو", "probability": 0.98193359375}, {"start": 1006.48, "end": 1007.1, "word": " روحنا", "probability": 0.9161376953125}, {"start": 1007.1, "end": 1007.84, "word": " على", "probability": 0.89599609375}, {"start": 1007.84, "end": 1008.54, "word": " الكتاب", "probability": 0.89501953125}, {"start": 1008.54, "end": 1009.32, "word": " و", "probability": 0.63037109375}, {"start": 1009.32, "end": 1009.84, "word": " لجينا", "probability": 0.74041748046875}, {"start": 1009.84, "end": 1010.12, "word": " كان", "probability": 0.923828125}, {"start": 1010.12, "end": 1010.7, "word": " السؤال", "probability": 0.990234375}, {"start": 1010.7, "end": 1011.04, "word": " هذا", "probability": 0.8349609375}, {"start": 1011.04, "end": 1011.22, "word": " في", "probability": 0.93994140625}, {"start": 1011.22, "end": 1011.86, "word": " الكتاب", "probability": 0.9609375}, {"start": 1011.86, "end": 1012.62, "word": " ممكن", "probability": 0.8369140625}, {"start": 1012.62, "end": 1013.26, "word": " مالاجيش", "probability": 0.689306640625}, {"start": 1013.26, "end": 1013.94, "word": " الإجابة", "probability": 0.9783935546875}, {"start": 1013.94, "end": 1014.24, "word": " هذه", "probability": 0.771484375}], "temperature": 1.0}, {"id": 45, "seek": 103893, "start": 1014.91, "end": 1038.93, "text": "ممكن نجدها بدلالة الـLin يبقى هذه كإنها مين نجي هنا ونشيل ال X ونحط 6 يبقى 1 زي 6 سبعة أسداس وإن واحد نقص 6 اللي هو خمس أسداس يبقى ضل جداش Lin 7 على خمسة يبقى ممكن تجد الجواب نصف Lin 7 على خمسة وليس مثال", "tokens": [2304, 43020, 8717, 7435, 3215, 11296, 47525, 1211, 6027, 3660, 2423, 39184, 43, 259, 7251, 3555, 4587, 7578, 29538, 9122, 28814, 1863, 11296, 3714, 9957, 8717, 7435, 1829, 34105, 4032, 1863, 8592, 26895, 2423, 1783, 4032, 1863, 5016, 9566, 1386, 7251, 3555, 4587, 7578, 502, 30767, 1829, 1386, 8608, 3555, 27884, 5551, 3794, 3215, 32277, 4032, 28814, 1863, 36764, 24401, 8717, 4587, 9381, 1386, 13672, 1829, 31439, 16490, 2304, 3794, 5551, 3794, 28259, 3794, 7251, 3555, 4587, 7578, 48812, 1211, 10874, 3215, 33599, 9355, 1614, 15844, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 3714, 43020, 6055, 7435, 3215, 25724, 14407, 3555, 8717, 9381, 5172, 9355, 1614, 15844, 16490, 2304, 3794, 3660, 4032, 20292, 3794, 50113, 6027], "avg_logprob": -0.322033908660129, "compression_ratio": 1.7731958762886597, "no_speech_prob": 0.0, "words": [{"start": 1014.91, "end": 1015.33, "word": "ممكن", "probability": 0.58575439453125}, {"start": 1015.33, "end": 1015.89, "word": " نجدها", "probability": 0.61993408203125}, {"start": 1015.89, "end": 1016.51, "word": " بدلالة", "probability": 0.9100341796875}, {"start": 1016.51, "end": 1016.91, "word": " الـLin", "probability": 0.4178466796875}, {"start": 1016.91, "end": 1017.55, "word": " يبقى", "probability": 0.80828857421875}, {"start": 1017.55, "end": 1017.93, "word": " هذه", "probability": 0.626953125}, {"start": 1017.93, "end": 1018.65, "word": " كإنها", "probability": 0.92236328125}, {"start": 1018.65, "end": 1019.17, "word": " مين", "probability": 0.515380859375}, {"start": 1019.17, "end": 1020.03, "word": " نجي", "probability": 0.6568196614583334}, {"start": 1020.03, "end": 1020.21, "word": " هنا", "probability": 0.8876953125}, {"start": 1020.21, "end": 1020.67, "word": " ونشيل", "probability": 0.69805908203125}, {"start": 1020.67, "end": 1020.79, "word": " ال", "probability": 0.89990234375}, {"start": 1020.79, "end": 1020.97, "word": " X", "probability": 0.47119140625}, {"start": 1020.97, "end": 1021.55, "word": " ونحط", "probability": 0.92529296875}, {"start": 1021.55, "end": 1022.07, "word": " 6", "probability": 0.497802734375}, {"start": 1022.07, "end": 1022.77, "word": " يبقى", "probability": 0.981689453125}, {"start": 1022.77, "end": 1023.09, "word": " 1", "probability": 0.748046875}, {"start": 1023.09, "end": 1023.35, "word": " زي", "probability": 0.326171875}, {"start": 1023.35, "end": 1023.71, "word": " 6", "probability": 0.33203125}, {"start": 1023.71, "end": 1024.55, "word": " سبعة", "probability": 0.5603434244791666}, {"start": 1024.55, "end": 1025.21, "word": " أسداس", "probability": 0.7545166015625}, {"start": 1025.21, "end": 1025.97, "word": " وإن", "probability": 0.8868815104166666}, {"start": 1025.97, "end": 1026.51, "word": " واحد", "probability": 0.851806640625}, {"start": 1026.51, "end": 1027.11, "word": " نقص", "probability": 0.8310546875}, {"start": 1027.11, "end": 1027.53, "word": " 6", "probability": 0.91748046875}, {"start": 1027.53, "end": 1027.99, "word": " اللي", "probability": 0.646484375}, {"start": 1027.99, "end": 1028.13, "word": " هو", "probability": 0.96630859375}, {"start": 1028.13, "end": 1028.67, "word": " خمس", "probability": 0.9568684895833334}, {"start": 1028.67, "end": 1029.49, "word": " أسداس", "probability": 0.866455078125}, {"start": 1029.49, "end": 1029.95, "word": " يبقى", "probability": 0.9716796875}, {"start": 1029.95, "end": 1030.15, "word": " ضل", "probability": 0.300537109375}, {"start": 1030.15, "end": 1030.59, "word": " جداش", "probability": 0.8172200520833334}, {"start": 1030.59, "end": 1031.01, "word": " Lin", "probability": 0.31494140625}, {"start": 1031.01, "end": 1031.63, "word": " 7", "probability": 0.71533203125}, {"start": 1031.63, "end": 1032.17, "word": " على", "probability": 0.353515625}, {"start": 1032.17, "end": 1033.07, "word": " خمسة", "probability": 0.86334228515625}, {"start": 1033.07, "end": 1033.61, "word": " يبقى", "probability": 0.9613037109375}, {"start": 1033.61, "end": 1033.99, "word": " ممكن", "probability": 0.946044921875}, {"start": 1033.99, "end": 1034.33, "word": " تجد", "probability": 0.7088216145833334}, {"start": 1034.33, "end": 1034.75, "word": " الجواب", "probability": 0.732666015625}, {"start": 1034.75, "end": 1035.63, "word": " نصف", "probability": 0.5624186197916666}, {"start": 1035.63, "end": 1035.99, "word": " Lin", "probability": 0.6162109375}, {"start": 1035.99, "end": 1036.51, "word": " 7", "probability": 0.89208984375}, {"start": 1036.51, "end": 1036.81, "word": " على", "probability": 0.80615234375}, {"start": 1036.81, "end": 1037.55, "word": " خمسة", "probability": 0.9869384765625}, {"start": 1037.55, "end": 1038.43, "word": " وليس", "probability": 0.97265625}, {"start": 1038.43, "end": 1038.93, "word": " مثال", "probability": 0.863525390625}], "temperature": 1.0}, {"id": 46, "seek": 105311, "start": 1039.68, "end": 1053.12, "text": "خلّي بالك هنا والله يبقى احنا عندنا y تساوي sin inverse x تمام؟ بنثبت ان sin inverse x يساوي لإن ال x زايد ال square root", "tokens": [9778, 1211, 11703, 1829, 20666, 4117, 34105, 16070, 43761, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 43242, 8315, 288, 6055, 3794, 995, 45865, 3343, 17340, 2031, 46811, 10943, 22807, 4724, 1863, 12984, 3555, 2655, 16472, 3343, 17340, 2031, 7251, 3794, 995, 45865, 5296, 28814, 1863, 2423, 2031, 30767, 995, 25708, 2423, 3732, 5593], "avg_logprob": -0.40104167218561526, "compression_ratio": 1.3455882352941178, "no_speech_prob": 0.0, "words": [{"start": 1039.68, "end": 1040.22, "word": "خلّي", "probability": 0.650482177734375}, {"start": 1040.22, "end": 1040.5, "word": " بالك", "probability": 0.88525390625}, {"start": 1040.5, "end": 1040.64, "word": " هنا", "probability": 0.615234375}, {"start": 1040.64, "end": 1040.9, "word": " والله", "probability": 0.5283203125}, {"start": 1040.9, "end": 1043.02, "word": " يبقى", "probability": 0.8863525390625}, {"start": 1043.02, "end": 1043.36, "word": " احنا", "probability": 0.8798828125}, {"start": 1043.36, "end": 1043.86, "word": " عندنا", "probability": 0.858642578125}, {"start": 1043.86, "end": 1044.08, "word": " y", "probability": 0.468505859375}, {"start": 1044.08, "end": 1044.8, "word": " تساوي", "probability": 0.5775604248046875}, {"start": 1044.8, "end": 1045.38, "word": " sin", "probability": 0.3759765625}, {"start": 1045.38, "end": 1046.52, "word": " inverse", "probability": 0.78271484375}, {"start": 1046.52, "end": 1047.32, "word": " x", "probability": 0.84375}, {"start": 1047.32, "end": 1048.44, "word": " تمام؟", "probability": 0.68798828125}, {"start": 1048.44, "end": 1049.28, "word": " بنثبت", "probability": 0.71318359375}, {"start": 1049.28, "end": 1049.4, "word": " ان", "probability": 0.55029296875}, {"start": 1049.4, "end": 1049.84, "word": " sin", "probability": 0.7119140625}, {"start": 1049.84, "end": 1050.44, "word": " inverse", "probability": 0.87060546875}, {"start": 1050.44, "end": 1050.68, "word": " x", "probability": 0.91650390625}, {"start": 1050.68, "end": 1051.2, "word": " يساوي", "probability": 0.9212646484375}, {"start": 1051.2, "end": 1051.56, "word": " لإن", "probability": 0.6815592447916666}, {"start": 1051.56, "end": 1051.72, "word": " ال", "probability": 0.52490234375}, {"start": 1051.72, "end": 1051.96, "word": " x", "probability": 0.4150390625}, {"start": 1051.96, "end": 1052.3, "word": " زايد", "probability": 0.7269694010416666}, {"start": 1052.3, "end": 1052.4, "word": " ال", "probability": 0.485595703125}, {"start": 1052.4, "end": 1052.68, "word": " square", "probability": 0.8564453125}, {"start": 1052.68, "end": 1053.12, "word": " root", "probability": 0.87841796875}], "temperature": 1.0}, {"id": 47, "seek": 107646, "start": 1053.42, "end": 1076.46, "text": "للاكس تربية زائد واحد تمام من معلوماتنا في معكوس الدالة بقدر اجيب العبارة المكافئة لهذه العبارة يبقى العبارة المكافئة لهذه العبارة هيم هيم يسنش يساوي اكس ممتاز جدا برضه ما خلصاش احنا بدنا Y لكن السنش بقدر اكتبها بدلالة", "tokens": [1211, 15040, 4117, 3794, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 46811, 10943, 9154, 20449, 1211, 20498, 9307, 8315, 8978, 20449, 4117, 41779, 32748, 6027, 3660, 4724, 28543, 2288, 1975, 7435, 1829, 3555, 18863, 3555, 9640, 3660, 9673, 4117, 31845, 19986, 3660, 46740, 24192, 18863, 3555, 9640, 3660, 7251, 3555, 4587, 7578, 18863, 3555, 9640, 3660, 9673, 4117, 31845, 19986, 3660, 46740, 24192, 18863, 3555, 9640, 3660, 8032, 32640, 8032, 32640, 7251, 3794, 1863, 8592, 7251, 3794, 995, 45865, 1975, 4117, 3794, 3714, 2304, 2655, 31377, 10874, 28259, 4724, 43042, 3224, 19446, 16490, 1211, 9381, 33599, 1975, 5016, 8315, 47525, 8315, 398, 44381, 21136, 1863, 8592, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 47525, 1211, 6027, 3660], "avg_logprob": -0.17382813033958275, "compression_ratio": 2.05699481865285, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 1053.42, "end": 1053.98, "word": "للاكس", "probability": 0.511810302734375}, {"start": 1053.98, "end": 1054.46, "word": " تربية", "probability": 0.9270833333333334}, {"start": 1054.46, "end": 1055.18, "word": " زائد", "probability": 0.8111165364583334}, {"start": 1055.18, "end": 1055.48, "word": " واحد", "probability": 0.964111328125}, {"start": 1055.48, "end": 1056.16, "word": " تمام", "probability": 0.68212890625}, {"start": 1056.16, "end": 1056.78, "word": " من", "probability": 0.88134765625}, {"start": 1056.78, "end": 1057.44, "word": " معلوماتنا", "probability": 0.94130859375}, {"start": 1057.44, "end": 1057.58, "word": " في", "probability": 0.94775390625}, {"start": 1057.58, "end": 1058.1, "word": " معكوس", "probability": 0.7122395833333334}, {"start": 1058.1, "end": 1058.64, "word": " الدالة", "probability": 0.765625}, {"start": 1058.64, "end": 1059.16, "word": " بقدر", "probability": 0.9508463541666666}, {"start": 1059.16, "end": 1059.6, "word": " اجيب", "probability": 0.9224853515625}, {"start": 1059.6, "end": 1060.2, "word": " العبارة", "probability": 0.9708251953125}, {"start": 1060.2, "end": 1060.98, "word": " المكافئة", "probability": 0.87197265625}, {"start": 1060.98, "end": 1061.52, "word": " لهذه", "probability": 0.857421875}, {"start": 1061.52, "end": 1062.4, "word": " العبارة", "probability": 0.9833984375}, {"start": 1062.4, "end": 1063.08, "word": " يبقى", "probability": 0.953125}, {"start": 1063.08, "end": 1063.64, "word": " العبارة", "probability": 0.988037109375}, {"start": 1063.64, "end": 1064.54, "word": " المكافئة", "probability": 0.9876953125}, {"start": 1064.54, "end": 1065.06, "word": " لهذه", "probability": 0.974609375}, {"start": 1065.06, "end": 1065.64, "word": " العبارة", "probability": 0.98046875}, {"start": 1065.64, "end": 1066.06, "word": " هيم", "probability": 0.4105224609375}, {"start": 1066.06, "end": 1066.5, "word": " هيم", "probability": 0.694091796875}, {"start": 1066.5, "end": 1068.22, "word": " يسنش", "probability": 0.802978515625}, {"start": 1068.22, "end": 1069.06, "word": " يساوي", "probability": 0.955322265625}, {"start": 1069.06, "end": 1069.66, "word": " اكس", "probability": 0.8042805989583334}, {"start": 1069.66, "end": 1070.62, "word": " ممتاز", "probability": 0.958984375}, {"start": 1070.62, "end": 1071.0, "word": " جدا", "probability": 0.859375}, {"start": 1071.0, "end": 1071.86, "word": " برضه", "probability": 0.9007161458333334}, {"start": 1071.86, "end": 1071.98, "word": " ما", "probability": 0.77197265625}, {"start": 1071.98, "end": 1072.54, "word": " خلصاش", "probability": 0.836181640625}, {"start": 1072.54, "end": 1072.82, "word": " احنا", "probability": 0.9762369791666666}, {"start": 1072.82, "end": 1073.3, "word": " بدنا", "probability": 0.95068359375}, {"start": 1073.3, "end": 1073.6, "word": " Y", "probability": 0.44970703125}, {"start": 1073.6, "end": 1074.32, "word": " لكن", "probability": 0.876953125}, {"start": 1074.32, "end": 1074.92, "word": " السنش", "probability": 0.769775390625}, {"start": 1074.92, "end": 1075.3, "word": " بقدر", "probability": 0.9788411458333334}, {"start": 1075.3, "end": 1075.66, "word": " اكتبها", "probability": 0.966015625}, {"start": 1075.66, "end": 1076.46, "word": " بدلالة", "probability": 0.8680419921875}], "temperature": 1.0}, {"id": 48, "seek": 109699, "start": 1078.39, "end": 1096.99, "text": "يبقى E أس Y ناقص E أس ناقص Y على 2 يساوي X نضرب ضرب التبادل أو نضرب الطرفين في اتنين يبقى E أس Y ناقص E أس ناقص Y يساوي 2X", "tokens": [1829, 3555, 4587, 7578, 462, 5551, 3794, 398, 8717, 995, 4587, 9381, 462, 5551, 3794, 8717, 995, 4587, 9381, 398, 15844, 568, 7251, 3794, 995, 45865, 1783, 8717, 11242, 25513, 48812, 25513, 16712, 3555, 18513, 1211, 34051, 8717, 11242, 25513, 41950, 28480, 9957, 8978, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 462, 5551, 3794, 398, 8717, 995, 4587, 9381, 462, 5551, 3794, 8717, 995, 4587, 9381, 398, 7251, 3794, 995, 45865, 568, 55], "avg_logprob": -0.18395832935969034, "compression_ratio": 1.8440366972477065, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1078.39, "end": 1079.41, "word": "يبقى", "probability": 0.73590087890625}, {"start": 1079.41, "end": 1080.33, "word": " E", "probability": 0.111328125}, {"start": 1080.33, "end": 1080.95, "word": " أس", "probability": 0.271392822265625}, {"start": 1080.95, "end": 1081.37, "word": " Y", "probability": 0.9306640625}, {"start": 1081.37, "end": 1082.15, "word": " ناقص", "probability": 0.8570556640625}, {"start": 1082.15, "end": 1082.41, "word": " E", "probability": 0.88037109375}, {"start": 1082.41, "end": 1082.71, "word": " أس", "probability": 0.905029296875}, {"start": 1082.71, "end": 1083.25, "word": " ناقص", "probability": 0.95947265625}, {"start": 1083.25, "end": 1083.59, "word": " Y", "probability": 0.9814453125}, {"start": 1083.59, "end": 1083.97, "word": " على", "probability": 0.71826171875}, {"start": 1083.97, "end": 1084.57, "word": " 2", "probability": 0.6689453125}, {"start": 1084.57, "end": 1085.75, "word": " يساوي", "probability": 0.8323974609375}, {"start": 1085.75, "end": 1086.11, "word": " X", "probability": 0.91455078125}, {"start": 1086.11, "end": 1087.25, "word": " نضرب", "probability": 0.9031575520833334}, {"start": 1087.25, "end": 1087.57, "word": " ضرب", "probability": 0.914306640625}, {"start": 1087.57, "end": 1088.21, "word": " التبادل", "probability": 0.9083251953125}, {"start": 1088.21, "end": 1088.47, "word": " أو", "probability": 0.44482421875}, {"start": 1088.47, "end": 1088.85, "word": " نضرب", "probability": 0.9759114583333334}, {"start": 1088.85, "end": 1089.51, "word": " الطرفين", "probability": 0.9583333333333334}, {"start": 1089.51, "end": 1089.71, "word": " في", "probability": 0.7919921875}, {"start": 1089.71, "end": 1090.27, "word": " اتنين", "probability": 0.8653564453125}, {"start": 1090.27, "end": 1091.11, "word": " يبقى", "probability": 0.960693359375}, {"start": 1091.11, "end": 1091.33, "word": " E", "probability": 0.966796875}, {"start": 1091.33, "end": 1091.69, "word": " أس", "probability": 0.970947265625}, {"start": 1091.69, "end": 1092.13, "word": " Y", "probability": 0.9921875}, {"start": 1092.13, "end": 1093.15, "word": " ناقص", "probability": 0.9866943359375}, {"start": 1093.15, "end": 1093.51, "word": " E", "probability": 0.9931640625}, {"start": 1093.51, "end": 1093.99, "word": " أس", "probability": 0.9814453125}, {"start": 1093.99, "end": 1094.67, "word": " ناقص", "probability": 0.983154296875}, {"start": 1094.67, "end": 1094.93, "word": " Y", "probability": 0.9912109375}, {"start": 1094.93, "end": 1095.67, "word": " يساوي", "probability": 0.971435546875}, {"start": 1095.67, "end": 1096.99, "word": " 2X", "probability": 0.746826171875}], "temperature": 1.0}, {"id": 49, "seek": 110133, "start": 1097.72, "end": 1101.34, "text": "المعادلة هيك شكل مش عاجبني بهذا الشكل", "tokens": [45340, 3615, 18513, 37977, 39896, 4117, 13412, 28820, 37893, 6225, 26108, 3555, 22653, 39627, 15730, 25124, 28820], "avg_logprob": -0.325954869389534, "compression_ratio": 1.0625, "no_speech_prob": 0.0, "words": [{"start": 1097.72, "end": 1098.44, "word": "المعادلة", "probability": 0.884521484375}, {"start": 1098.44, "end": 1098.64, "word": " هيك", "probability": 0.626953125}, {"start": 1098.64, "end": 1098.98, "word": " شكل", "probability": 0.886962890625}, {"start": 1098.98, "end": 1099.3, "word": " مش", "probability": 0.34130859375}, {"start": 1099.3, "end": 1099.92, "word": " عاجبني", "probability": 0.8839111328125}, {"start": 1099.92, "end": 1100.4, "word": " بهذا", "probability": 0.822021484375}, {"start": 1100.4, "end": 1101.34, "word": " الشكل", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 50, "seek": 113675, "start": 1110.07, "end": 1136.75, "text": "نضرب الطرفين في E أس Y بيصير E أس Y الكل تربية ناقص واحد يساوي اتنين X E أس Y او لو عملناها معادلة صفرية بيصير E أس Y الكل تربية ناقص اتنين X E أس Y ناقص واحد يساوي قداش يساوي Zero", "tokens": [1863, 11242, 25513, 41950, 28480, 9957, 8978, 462, 5551, 3794, 398, 4724, 1829, 9381, 13546, 462, 5551, 3794, 398, 2423, 28820, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 1783, 462, 5551, 3794, 398, 1975, 2407, 45164, 6225, 42213, 8315, 11296, 20449, 18513, 37977, 20328, 5172, 2288, 10632, 4724, 1829, 9381, 13546, 462, 5551, 3794, 398, 2423, 28820, 6055, 25513, 10632, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 1783, 462, 5551, 3794, 398, 8717, 995, 4587, 9381, 36764, 24401, 7251, 3794, 995, 45865, 12174, 3215, 33599, 7251, 3794, 995, 45865, 17182], "avg_logprob": -0.13717831174532572, "compression_ratio": 2.054421768707483, "no_speech_prob": 0.0, "words": [{"start": 1110.07, "end": 1110.71, "word": "نضرب", "probability": 0.7775065104166666}, {"start": 1110.71, "end": 1111.41, "word": " الطرفين", "probability": 0.9358723958333334}, {"start": 1111.41, "end": 1111.63, "word": " في", "probability": 0.77978515625}, {"start": 1111.63, "end": 1111.93, "word": " E", "probability": 0.27783203125}, {"start": 1111.93, "end": 1112.21, "word": " أس", "probability": 0.377105712890625}, {"start": 1112.21, "end": 1112.41, "word": " Y", "probability": 0.9775390625}, {"start": 1112.41, "end": 1113.03, "word": " بيصير", "probability": 0.733642578125}, {"start": 1113.03, "end": 1113.61, "word": " E", "probability": 0.89013671875}, {"start": 1113.61, "end": 1114.27, "word": " أس", "probability": 0.97314453125}, {"start": 1114.27, "end": 1114.73, "word": " Y", "probability": 0.98583984375}, {"start": 1114.73, "end": 1115.87, "word": " الكل", "probability": 0.81005859375}, {"start": 1115.87, "end": 1116.63, "word": " تربية", "probability": 0.8013509114583334}, {"start": 1116.63, "end": 1117.79, "word": " ناقص", "probability": 0.891845703125}, {"start": 1117.79, "end": 1118.39, "word": " واحد", "probability": 0.93505859375}, {"start": 1118.39, "end": 1119.35, "word": " يساوي", "probability": 0.9139404296875}, {"start": 1119.35, "end": 1120.07, "word": " اتنين", "probability": 0.85406494140625}, {"start": 1120.07, "end": 1120.65, "word": " X", "probability": 0.81005859375}, {"start": 1120.65, "end": 1121.27, "word": " E", "probability": 0.94873046875}, {"start": 1121.27, "end": 1122.13, "word": " أس", "probability": 0.9677734375}, {"start": 1122.13, "end": 1122.55, "word": " Y", "probability": 0.99365234375}, {"start": 1122.55, "end": 1123.39, "word": " او", "probability": 0.759521484375}, {"start": 1123.39, "end": 1124.15, "word": " لو", "probability": 0.96435546875}, {"start": 1124.15, "end": 1124.79, "word": " عملناها", "probability": 0.9761962890625}, {"start": 1124.79, "end": 1125.49, "word": " معادلة", "probability": 0.9869791666666666}, {"start": 1125.49, "end": 1126.35, "word": " صفرية", "probability": 0.973876953125}, {"start": 1126.35, "end": 1127.39, "word": " بيصير", "probability": 0.97021484375}, {"start": 1127.39, "end": 1127.85, "word": " E", "probability": 0.98486328125}, {"start": 1127.85, "end": 1128.33, "word": " أس", "probability": 0.980712890625}, {"start": 1128.33, "end": 1128.65, "word": " Y", "probability": 0.99609375}, {"start": 1128.65, "end": 1129.25, "word": " الكل", "probability": 0.88037109375}, {"start": 1129.25, "end": 1129.87, "word": " تربية", "probability": 0.96533203125}, {"start": 1129.87, "end": 1131.03, "word": " ناقص", "probability": 0.9873046875}, {"start": 1131.03, "end": 1131.69, "word": " اتنين", "probability": 0.9808349609375}, {"start": 1131.69, "end": 1132.15, "word": " X", "probability": 0.99169921875}, {"start": 1132.15, "end": 1132.51, "word": " E", "probability": 0.98193359375}, {"start": 1132.51, "end": 1132.83, "word": " أس", "probability": 0.973876953125}, {"start": 1132.83, "end": 1133.07, "word": " Y", "probability": 0.99658203125}, {"start": 1133.07, "end": 1133.55, "word": " ناقص", "probability": 0.99072265625}, {"start": 1133.55, "end": 1133.83, "word": " واحد", "probability": 0.98828125}, {"start": 1133.83, "end": 1134.19, "word": " يساوي", "probability": 0.9652099609375}, {"start": 1134.19, "end": 1134.89, "word": " قداش", "probability": 0.7062174479166666}, {"start": 1134.89, "end": 1136.23, "word": " يساوي", "probability": 0.883056640625}, {"start": 1136.23, "end": 1136.75, "word": " Zero", "probability": 0.62841796875}], "temperature": 1.0}, {"id": 51, "seek": 115881, "start": 1138.13, "end": 1158.81, "text": "هذه معادلة من أي درجة؟ من الدرجة الثانية في E أقص Y يعني E أقص Y كأنه من المتغير يبقى هذه بنقدر نحللها تحليل بنقدر؟ تقدر؟ اللي بنقدر يقوللي", "tokens": [3224, 24192, 20449, 18513, 37977, 9154, 36632, 11778, 47341, 3660, 22807, 9154, 32748, 47341, 3660, 6024, 104, 7649, 10632, 8978, 462, 5551, 4587, 9381, 398, 37495, 22653, 462, 5551, 4587, 9381, 398, 9122, 33456, 3224, 9154, 9673, 2655, 17082, 13546, 7251, 3555, 4587, 7578, 29538, 44945, 28543, 2288, 8717, 5016, 1211, 1211, 11296, 6055, 5016, 20292, 1211, 44945, 28543, 2288, 22807, 6055, 28543, 2288, 22807, 13672, 1829, 44945, 28543, 2288, 7251, 39648, 20292], "avg_logprob": -0.18918918777961988, "compression_ratio": 1.7697841726618706, "no_speech_prob": 0.0, "words": [{"start": 1138.13, "end": 1138.53, "word": "هذه", "probability": 0.8681640625}, {"start": 1138.53, "end": 1139.03, "word": " معادلة", "probability": 0.7760416666666666}, {"start": 1139.03, "end": 1139.19, "word": " من", "probability": 0.95751953125}, {"start": 1139.19, "end": 1139.45, "word": " أي", "probability": 0.79541015625}, {"start": 1139.45, "end": 1140.33, "word": " درجة؟", "probability": 0.83160400390625}, {"start": 1140.33, "end": 1141.45, "word": " من", "probability": 0.90673828125}, {"start": 1141.45, "end": 1142.23, "word": " الدرجة", "probability": 0.9762369791666666}, {"start": 1142.23, "end": 1142.81, "word": " الثانية", "probability": 0.9654541015625}, {"start": 1142.81, "end": 1143.25, "word": " في", "probability": 0.9541015625}, {"start": 1143.25, "end": 1143.67, "word": " E", "probability": 0.80859375}, {"start": 1143.67, "end": 1144.31, "word": " أقص", "probability": 0.66375732421875}, {"start": 1144.31, "end": 1144.97, "word": " Y", "probability": 0.861328125}, {"start": 1144.97, "end": 1145.93, "word": " يعني", "probability": 0.85546875}, {"start": 1145.93, "end": 1146.39, "word": " E", "probability": 0.95361328125}, {"start": 1146.39, "end": 1146.73, "word": " أقص", "probability": 0.9420572916666666}, {"start": 1146.73, "end": 1146.97, "word": " Y", "probability": 0.9892578125}, {"start": 1146.97, "end": 1147.51, "word": " كأنه", "probability": 0.8037109375}, {"start": 1147.51, "end": 1147.89, "word": " من", "probability": 0.4951171875}, {"start": 1147.89, "end": 1149.91, "word": " المتغير", "probability": 0.9462890625}, {"start": 1149.91, "end": 1150.97, "word": " يبقى", "probability": 0.8582763671875}, {"start": 1150.97, "end": 1151.31, "word": " هذه", "probability": 0.8310546875}, {"start": 1151.31, "end": 1152.11, "word": " بنقدر", "probability": 0.8701171875}, {"start": 1152.11, "end": 1153.37, "word": " نحللها", "probability": 0.8556640625}, {"start": 1153.37, "end": 1155.15, "word": " تحليل", "probability": 0.8140869140625}, {"start": 1155.15, "end": 1155.87, "word": " بنقدر؟", "probability": 0.75897216796875}, {"start": 1155.87, "end": 1157.39, "word": " تقدر؟", "probability": 0.885498046875}, {"start": 1157.39, "end": 1157.97, "word": " اللي", "probability": 0.966796875}, {"start": 1157.97, "end": 1158.33, "word": " بنقدر", "probability": 0.85986328125}, {"start": 1158.33, "end": 1158.81, "word": " يقوللي", "probability": 0.7910970052083334}], "temperature": 1.0}, {"id": 52, "seek": 117104, "start": 1159.78, "end": 1171.04, "text": "انسى مانقدرش نحلله، لكن أن القانون العام تبع حال معادلة الدرجة الثانية اللى قدتهوا في الصف السابعة والثامن، واحد منهم", "tokens": [7649, 3794, 7578, 19446, 1863, 28543, 2288, 8592, 8717, 5016, 1211, 43761, 12399, 44381, 14739, 25062, 7649, 11536, 18863, 10943, 6055, 3555, 3615, 11331, 6027, 20449, 18513, 37977, 32748, 47341, 3660, 6024, 104, 7649, 10632, 13672, 7578, 12174, 3215, 47395, 14407, 8978, 31767, 5172, 21136, 16758, 27884, 16070, 12984, 10943, 1863, 12399, 36764, 24401, 9154, 16095], "avg_logprob": -0.1988761027654012, "compression_ratio": 1.6412213740458015, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1159.78, "end": 1160.66, "word": "انسى", "probability": 0.684814453125}, {"start": 1160.66, "end": 1161.18, "word": " مانقدرش", "probability": 0.7890625}, {"start": 1161.18, "end": 1162.02, "word": " نحلله،", "probability": 0.666064453125}, {"start": 1162.02, "end": 1162.14, "word": " لكن", "probability": 0.9638671875}, {"start": 1162.14, "end": 1162.54, "word": " أن", "probability": 0.50146484375}, {"start": 1162.54, "end": 1163.52, "word": " القانون", "probability": 0.9962565104166666}, {"start": 1163.52, "end": 1164.28, "word": " العام", "probability": 0.990234375}, {"start": 1164.28, "end": 1165.1, "word": " تبع", "probability": 0.9134114583333334}, {"start": 1165.1, "end": 1165.38, "word": " حال", "probability": 0.7802734375}, {"start": 1165.38, "end": 1166.0, "word": " معادلة", "probability": 0.9744466145833334}, {"start": 1166.0, "end": 1166.62, "word": " الدرجة", "probability": 0.958984375}, {"start": 1166.62, "end": 1166.96, "word": " الثانية", "probability": 0.9534912109375}, {"start": 1166.96, "end": 1167.1, "word": " اللى", "probability": 0.840087890625}, {"start": 1167.1, "end": 1167.58, "word": " قدتهوا", "probability": 0.68145751953125}, {"start": 1167.58, "end": 1167.68, "word": " في", "probability": 0.673828125}, {"start": 1167.68, "end": 1168.06, "word": " الصف", "probability": 0.975341796875}, {"start": 1168.06, "end": 1168.72, "word": " السابعة", "probability": 0.7962239583333334}, {"start": 1168.72, "end": 1170.18, "word": " والثامن،", "probability": 0.86416015625}, {"start": 1170.18, "end": 1170.6, "word": " واحد", "probability": 0.993408203125}, {"start": 1170.6, "end": 1171.04, "word": " منهم", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 53, "seek": 118970, "start": 1171.38, "end": 1189.7, "text": "ماعناش مشكلة هيبقى بنحل بطريقة المرحلة الإعدادية، إذا القانون بيقول E أُس Y بدها تساوي الجدرد بدها تساوي، ناقص بناقص مع ناقص بصير زائد", "tokens": [15042, 3615, 1863, 33599, 37893, 28820, 3660, 39896, 3555, 4587, 7578, 44945, 5016, 1211, 4724, 9566, 16572, 28671, 9673, 2288, 5016, 37977, 33688, 22488, 18513, 10632, 12399, 11933, 15730, 25062, 7649, 11536, 4724, 1829, 39648, 462, 5551, 10859, 3794, 398, 47525, 11296, 6055, 3794, 995, 45865, 25724, 3215, 2288, 3215, 47525, 11296, 6055, 3794, 995, 45865, 12399, 8717, 995, 4587, 9381, 4724, 8315, 4587, 9381, 20449, 8717, 995, 4587, 9381, 4724, 9381, 13546, 30767, 16373, 3215], "avg_logprob": -0.2836850711277553, "compression_ratio": 1.609271523178808, "no_speech_prob": 0.0, "words": [{"start": 1171.38, "end": 1171.94, "word": "ماعناش", "probability": 0.5706787109375}, {"start": 1171.94, "end": 1172.4, "word": " مشكلة", "probability": 0.9755859375}, {"start": 1172.4, "end": 1172.72, "word": " هيبقى", "probability": 0.637115478515625}, {"start": 1172.72, "end": 1173.22, "word": " بنحل", "probability": 0.7828776041666666}, {"start": 1173.22, "end": 1173.8, "word": " بطريقة", "probability": 0.908203125}, {"start": 1173.8, "end": 1174.48, "word": " المرحلة", "probability": 0.9833984375}, {"start": 1174.48, "end": 1176.94, "word": " الإعدادية،", "probability": 0.724462890625}, {"start": 1176.94, "end": 1177.3, "word": " إذا", "probability": 0.681396484375}, {"start": 1177.3, "end": 1178.52, "word": " القانون", "probability": 0.9607747395833334}, {"start": 1178.52, "end": 1178.98, "word": " بيقول", "probability": 0.9373372395833334}, {"start": 1178.98, "end": 1179.58, "word": " E", "probability": 0.322265625}, {"start": 1179.58, "end": 1180.24, "word": " أُس", "probability": 0.5009765625}, {"start": 1180.24, "end": 1180.74, "word": " Y", "probability": 0.9736328125}, {"start": 1180.74, "end": 1181.5, "word": " بدها", "probability": 0.4825439453125}, {"start": 1181.5, "end": 1182.18, "word": " تساوي", "probability": 0.8450927734375}, {"start": 1182.18, "end": 1183.6, "word": " الجدرد", "probability": 0.559234619140625}, {"start": 1183.6, "end": 1184.34, "word": " بدها", "probability": 0.64453125}, {"start": 1184.34, "end": 1185.0, "word": " تساوي،", "probability": 0.89453125}, {"start": 1185.0, "end": 1185.84, "word": " ناقص", "probability": 0.977294921875}, {"start": 1185.84, "end": 1187.42, "word": " بناقص", "probability": 0.8240966796875}, {"start": 1187.42, "end": 1187.68, "word": " مع", "probability": 0.95947265625}, {"start": 1187.68, "end": 1188.26, "word": " ناقص", "probability": 0.995361328125}, {"start": 1188.26, "end": 1188.78, "word": " بصير", "probability": 0.9568684895833334}, {"start": 1188.78, "end": 1189.7, "word": " زائد", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 54, "seek": 120789, "start": 1192.19, "end": 1207.89, "text": "الجدر التربية لباء تربية يبقى أربعة x تربية و ناقص أربعة ألف اللي هي بواحد جيم اللي هي سالب واحد كله على اتنين ألف اتنين في واحد", "tokens": [6027, 7435, 3215, 2288, 16712, 25513, 10632, 5296, 3555, 16606, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 5551, 25513, 27884, 2031, 6055, 25513, 10632, 4032, 8717, 995, 4587, 9381, 5551, 25513, 27884, 5551, 46538, 13672, 1829, 39896, 4724, 14407, 24401, 10874, 32640, 13672, 1829, 39896, 8608, 6027, 3555, 36764, 24401, 28242, 3224, 15844, 1975, 2655, 1863, 9957, 5551, 46538, 1975, 2655, 1863, 9957, 8978, 36764, 24401], "avg_logprob": -0.2151352651973269, "compression_ratio": 1.7890625, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1192.19, "end": 1193.39, "word": "الجدر", "probability": 0.6297607421875}, {"start": 1193.39, "end": 1193.99, "word": " التربية", "probability": 0.8356119791666666}, {"start": 1193.99, "end": 1194.51, "word": " لباء", "probability": 0.4961751302083333}, {"start": 1194.51, "end": 1195.01, "word": " تربية", "probability": 0.93798828125}, {"start": 1195.01, "end": 1195.57, "word": " يبقى", "probability": 0.970458984375}, {"start": 1195.57, "end": 1196.17, "word": " أربعة", "probability": 0.7159830729166666}, {"start": 1196.17, "end": 1196.47, "word": " x", "probability": 0.287109375}, {"start": 1196.47, "end": 1197.03, "word": " تربية", "probability": 0.9384765625}, {"start": 1197.03, "end": 1197.19, "word": " و", "probability": 0.7392578125}, {"start": 1197.19, "end": 1197.79, "word": " ناقص", "probability": 0.82342529296875}, {"start": 1197.79, "end": 1198.69, "word": " أربعة", "probability": 0.90625}, {"start": 1198.69, "end": 1199.51, "word": " ألف", "probability": 0.806884765625}, {"start": 1199.51, "end": 1199.71, "word": " اللي", "probability": 0.873291015625}, {"start": 1199.71, "end": 1199.87, "word": " هي", "probability": 0.78271484375}, {"start": 1199.87, "end": 1200.57, "word": " بواحد", "probability": 0.9415690104166666}, {"start": 1200.57, "end": 1201.47, "word": " جيم", "probability": 0.818359375}, {"start": 1201.47, "end": 1201.81, "word": " اللي", "probability": 0.97705078125}, {"start": 1201.81, "end": 1202.09, "word": " هي", "probability": 0.9453125}, {"start": 1202.09, "end": 1202.99, "word": " سالب", "probability": 0.8317057291666666}, {"start": 1202.99, "end": 1203.75, "word": " واحد", "probability": 0.99072265625}, {"start": 1203.75, "end": 1204.59, "word": " كله", "probability": 0.904296875}, {"start": 1204.59, "end": 1204.83, "word": " على", "probability": 0.8388671875}, {"start": 1204.83, "end": 1205.47, "word": " اتنين", "probability": 0.8321533203125}, {"start": 1205.47, "end": 1205.95, "word": " ألف", "probability": 0.799072265625}, {"start": 1205.95, "end": 1206.77, "word": " اتنين", "probability": 0.981201171875}, {"start": 1206.77, "end": 1207.07, "word": " في", "probability": 0.9130859375}, {"start": 1207.07, "end": 1207.89, "word": " واحد", "probability": 0.962890625}], "temperature": 1.0}, {"id": 55, "seek": 122711, "start": 1208.06, "end": 1227.12, "text": "الف طبعا اللي هو المعامل تبع ميم تبع ال E أُس Y يبدأ بناء عليه ال E أُس Y بده يساوي 2X زيد أو ناقص طبعا ناقص في ناقص بقداش بزايد 4 مع 4 تسعة مرة الجدر بقداش", "tokens": [6027, 5172, 23032, 3555, 3615, 995, 13672, 1829, 31439, 9673, 3615, 10943, 1211, 6055, 3555, 3615, 3714, 32640, 6055, 3555, 3615, 2423, 462, 5551, 10859, 3794, 398, 7251, 44510, 10721, 44945, 16606, 47356, 2423, 462, 5551, 10859, 3794, 398, 47525, 3224, 7251, 3794, 995, 45865, 568, 55, 30767, 1829, 3215, 34051, 8717, 995, 4587, 9381, 23032, 3555, 3615, 995, 8717, 995, 4587, 9381, 8978, 8717, 995, 4587, 9381, 4724, 28543, 33599, 4724, 11622, 995, 25708, 1017, 20449, 1017, 6055, 3794, 27884, 3714, 25720, 25724, 3215, 2288, 4724, 28543, 33599], "avg_logprob": -0.2670138915379842, "compression_ratio": 1.7337662337662338, "no_speech_prob": 0.0, "words": [{"start": 1208.06, "end": 1208.56, "word": "الف", "probability": 0.529052734375}, {"start": 1208.56, "end": 1208.92, "word": " طبعا", "probability": 0.8389892578125}, {"start": 1208.92, "end": 1209.04, "word": " اللي", "probability": 0.4140625}, {"start": 1209.04, "end": 1209.14, "word": " هو", "probability": 0.98388671875}, {"start": 1209.14, "end": 1209.62, "word": " المعامل", "probability": 0.9549560546875}, {"start": 1209.62, "end": 1209.9, "word": " تبع", "probability": 0.7587890625}, {"start": 1209.9, "end": 1210.32, "word": " ميم", "probability": 0.46221923828125}, {"start": 1210.32, "end": 1211.08, "word": " تبع", "probability": 0.8251953125}, {"start": 1211.08, "end": 1211.3, "word": " ال", "probability": 0.67822265625}, {"start": 1211.3, "end": 1211.76, "word": " E", "probability": 0.374267578125}, {"start": 1211.76, "end": 1212.38, "word": " أُس", "probability": 0.6131184895833334}, {"start": 1212.38, "end": 1212.72, "word": " Y", "probability": 0.9462890625}, {"start": 1212.72, "end": 1213.62, "word": " يبدأ", "probability": 0.9327799479166666}, {"start": 1213.62, "end": 1214.02, "word": " بناء", "probability": 0.9375}, {"start": 1214.02, "end": 1214.48, "word": " عليه", "probability": 0.900390625}, {"start": 1214.48, "end": 1214.76, "word": " ال", "probability": 0.783203125}, {"start": 1214.76, "end": 1215.24, "word": " E", "probability": 0.9677734375}, {"start": 1215.24, "end": 1215.94, "word": " أُس", "probability": 0.9627278645833334}, {"start": 1215.94, "end": 1216.5, "word": " Y", "probability": 0.98291015625}, {"start": 1216.5, "end": 1216.92, "word": " بده", "probability": 0.417724609375}, {"start": 1216.92, "end": 1217.54, "word": " يساوي", "probability": 0.9747314453125}, {"start": 1217.54, "end": 1218.64, "word": " 2X", "probability": 0.589599609375}, {"start": 1218.64, "end": 1219.16, "word": " زيد", "probability": 0.5485026041666666}, {"start": 1219.16, "end": 1219.3, "word": " أو", "probability": 0.65283203125}, {"start": 1219.3, "end": 1219.78, "word": " ناقص", "probability": 0.9498291015625}, {"start": 1219.78, "end": 1220.64, "word": " طبعا", "probability": 0.9576416015625}, {"start": 1220.64, "end": 1221.26, "word": " ناقص", "probability": 0.9759521484375}, {"start": 1221.26, "end": 1221.42, "word": " في", "probability": 0.7421875}, {"start": 1221.42, "end": 1221.82, "word": " ناقص", "probability": 0.9930419921875}, {"start": 1221.82, "end": 1222.56, "word": " بقداش", "probability": 0.771484375}, {"start": 1222.56, "end": 1223.44, "word": " بزايد", "probability": 0.7900390625}, {"start": 1223.44, "end": 1224.26, "word": " 4", "probability": 0.408935546875}, {"start": 1224.26, "end": 1224.5, "word": " مع", "probability": 0.7314453125}, {"start": 1224.5, "end": 1224.92, "word": " 4", "probability": 0.96337890625}, {"start": 1224.92, "end": 1225.5, "word": " تسعة", "probability": 0.6800130208333334}, {"start": 1225.5, "end": 1225.88, "word": " مرة", "probability": 0.547119140625}, {"start": 1225.88, "end": 1226.34, "word": " الجدر", "probability": 0.93359375}, {"start": 1226.34, "end": 1227.12, "word": " بقداش", "probability": 0.9114583333333334}], "temperature": 1.0}, {"id": 56, "seek": 124993, "start": 1227.45, "end": 1249.93, "text": "باتنين بيظل الجدرى التربية ل X تربية زائد واحد على مين؟ على الاتنين نقسم ناخد اتنين لبس عامل مشترك مع المقام هذا بدي اعطيلك ان E اص Y يساوي X زائد او ناقص الجدرى التربية ل X تربية زائد واحد واتنين هذه", "tokens": [3555, 9307, 1863, 9957, 4724, 1829, 19913, 1211, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 5296, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 15844, 3714, 9957, 22807, 15844, 2423, 9307, 1863, 9957, 8717, 4587, 38251, 8717, 47283, 3215, 1975, 2655, 1863, 9957, 5296, 3555, 3794, 6225, 10943, 1211, 37893, 2655, 31747, 20449, 9673, 4587, 10943, 23758, 4724, 16254, 1975, 3615, 9566, 1829, 23275, 16472, 462, 1975, 9381, 398, 7251, 3794, 995, 45865, 1783, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 5296, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 4032, 9307, 1863, 9957, 29538], "avg_logprob": -0.27409461168485266, "compression_ratio": 2.094674556213018, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1227.45, "end": 1228.33, "word": "باتنين", "probability": 0.684478759765625}, {"start": 1228.33, "end": 1228.97, "word": " بيظل", "probability": 0.6954345703125}, {"start": 1228.97, "end": 1229.53, "word": " الجدرى", "probability": 0.7578125}, {"start": 1229.53, "end": 1230.15, "word": " التربية", "probability": 0.9142252604166666}, {"start": 1230.15, "end": 1230.37, "word": " ل", "probability": 0.724609375}, {"start": 1230.37, "end": 1230.63, "word": " X", "probability": 0.441162109375}, {"start": 1230.63, "end": 1231.15, "word": " تربية", "probability": 0.8831380208333334}, {"start": 1231.15, "end": 1231.57, "word": " زائد", "probability": 0.5799967447916666}, {"start": 1231.57, "end": 1231.85, "word": " واحد", "probability": 0.913818359375}, {"start": 1231.85, "end": 1232.07, "word": " على", "probability": 0.69921875}, {"start": 1232.07, "end": 1232.73, "word": " مين؟", "probability": 0.5772705078125}, {"start": 1232.73, "end": 1233.71, "word": " على", "probability": 0.7373046875}, {"start": 1233.71, "end": 1234.61, "word": " الاتنين", "probability": 0.8555908203125}, {"start": 1234.61, "end": 1236.07, "word": " نقسم", "probability": 0.7976888020833334}, {"start": 1236.07, "end": 1236.67, "word": " ناخد", "probability": 0.8291015625}, {"start": 1236.67, "end": 1237.21, "word": " اتنين", "probability": 0.9365234375}, {"start": 1237.21, "end": 1237.61, "word": " لبس", "probability": 0.5015055338541666}, {"start": 1237.61, "end": 1237.99, "word": " عامل", "probability": 0.890625}, {"start": 1237.99, "end": 1238.45, "word": " مشترك", "probability": 0.7626139322916666}, {"start": 1238.45, "end": 1238.71, "word": " مع", "probability": 0.97802734375}, {"start": 1238.71, "end": 1239.49, "word": " المقام", "probability": 0.9759114583333334}, {"start": 1239.49, "end": 1240.09, "word": " هذا", "probability": 0.7392578125}, {"start": 1240.09, "end": 1240.43, "word": " بدي", "probability": 0.56787109375}, {"start": 1240.43, "end": 1240.95, "word": " اعطيلك", "probability": 0.74248046875}, {"start": 1240.95, "end": 1241.25, "word": " ان", "probability": 0.9013671875}, {"start": 1241.25, "end": 1241.77, "word": " E", "probability": 0.5419921875}, {"start": 1241.77, "end": 1242.17, "word": " اص", "probability": 0.6380615234375}, {"start": 1242.17, "end": 1242.61, "word": " Y", "probability": 0.52392578125}, {"start": 1242.61, "end": 1243.71, "word": " يساوي", "probability": 0.81689453125}, {"start": 1243.71, "end": 1244.15, "word": " X", "probability": 0.9638671875}, {"start": 1244.15, "end": 1244.65, "word": " زائد", "probability": 0.8304036458333334}, {"start": 1244.65, "end": 1244.91, "word": " او", "probability": 0.963623046875}, {"start": 1244.91, "end": 1245.59, "word": " ناقص", "probability": 0.9912109375}, {"start": 1245.59, "end": 1246.41, "word": " الجدرى", "probability": 0.9122314453125}, {"start": 1246.41, "end": 1246.93, "word": " التربية", "probability": 0.98291015625}, {"start": 1246.93, "end": 1247.13, "word": " ل", "probability": 0.97607421875}, {"start": 1247.13, "end": 1247.33, "word": " X", "probability": 0.8544921875}, {"start": 1247.33, "end": 1247.93, "word": " تربية", "probability": 0.96142578125}, {"start": 1247.93, "end": 1248.49, "word": " زائد", "probability": 0.90283203125}, {"start": 1248.49, "end": 1248.89, "word": " واحد", "probability": 0.96044921875}, {"start": 1248.89, "end": 1249.47, "word": " واتنين", "probability": 0.8482666015625}, {"start": 1249.47, "end": 1249.93, "word": " هذه", "probability": 0.5419921875}], "temperature": 1.0}, {"id": 57, "seek": 127795, "start": 1250.27, "end": 1277.95, "text": "راحت بهذا الشكل معناه هذا الكلام ان E of Y بدأ تاخد قيمتين القيمة الأولى E of Y يساوي X ناقص الجذر التربيعي ل X تربيع زائد واحد بنشوف هل ممكن المعادلة تبقى صحيحة و الله ما هياش صحيحة السؤال الأول ال E of Y عمرها بتاخد قيمة سالبة؟", "tokens": [23557, 33753, 39627, 15730, 25124, 28820, 20449, 8315, 3224, 23758, 2423, 28820, 10943, 16472, 462, 295, 398, 47525, 10721, 6055, 47283, 3215, 12174, 32640, 2655, 9957, 25062, 32640, 3660, 16247, 12610, 7578, 462, 295, 398, 7251, 3794, 995, 45865, 1783, 8717, 995, 4587, 9381, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 1829, 5296, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 44945, 8592, 38688, 8032, 1211, 3714, 43020, 9673, 3615, 18513, 37977, 6055, 3555, 4587, 7578, 20328, 5016, 1829, 5016, 3660, 4032, 21984, 19446, 39896, 33599, 20328, 5016, 1829, 5016, 3660, 21136, 33604, 6027, 16247, 12610, 2423, 462, 295, 398, 6225, 29973, 11296, 39894, 47283, 3215, 12174, 32640, 3660, 8608, 6027, 49401, 22807], "avg_logprob": -0.20891702701819354, "compression_ratio": 1.81651376146789, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1250.27, "end": 1251.01, "word": "راحت", "probability": 0.637451171875}, {"start": 1251.01, "end": 1251.73, "word": " بهذا", "probability": 0.82080078125}, {"start": 1251.73, "end": 1252.23, "word": " الشكل", "probability": 0.980712890625}, {"start": 1252.23, "end": 1253.09, "word": " معناه", "probability": 0.7620442708333334}, {"start": 1253.09, "end": 1253.35, "word": " هذا", "probability": 0.71142578125}, {"start": 1253.35, "end": 1253.91, "word": " الكلام", "probability": 0.9319661458333334}, {"start": 1253.91, "end": 1254.29, "word": " ان", "probability": 0.74755859375}, {"start": 1254.29, "end": 1254.77, "word": " E", "probability": 0.513671875}, {"start": 1254.77, "end": 1255.17, "word": " of", "probability": 0.09344482421875}, {"start": 1255.17, "end": 1255.47, "word": " Y", "probability": 0.93701171875}, {"start": 1255.47, "end": 1255.85, "word": " بدأ", "probability": 0.3409423828125}, {"start": 1255.85, "end": 1256.29, "word": " تاخد", "probability": 0.94091796875}, {"start": 1256.29, "end": 1257.57, "word": " قيمتين", "probability": 0.78106689453125}, {"start": 1257.57, "end": 1258.95, "word": " القيمة", "probability": 0.80029296875}, {"start": 1258.95, "end": 1259.59, "word": " الأولى", "probability": 0.9296875}, {"start": 1259.59, "end": 1259.89, "word": " E", "probability": 0.9287109375}, {"start": 1259.89, "end": 1260.23, "word": " of", "probability": 0.95361328125}, {"start": 1260.23, "end": 1260.57, "word": " Y", "probability": 0.9775390625}, {"start": 1260.57, "end": 1261.17, "word": " يساوي", "probability": 0.628662109375}, {"start": 1261.17, "end": 1261.61, "word": " X", "probability": 0.9169921875}, {"start": 1261.61, "end": 1262.33, "word": " ناقص", "probability": 0.8917236328125}, {"start": 1262.33, "end": 1262.91, "word": " الجذر", "probability": 0.8502604166666666}, {"start": 1262.91, "end": 1263.93, "word": " التربيعي", "probability": 0.82705078125}, {"start": 1263.93, "end": 1264.47, "word": " ل", "probability": 0.9130859375}, {"start": 1264.47, "end": 1264.79, "word": " X", "probability": 0.79931640625}, {"start": 1264.79, "end": 1265.53, "word": " تربيع", "probability": 0.860107421875}, {"start": 1265.53, "end": 1266.17, "word": " زائد", "probability": 0.8006184895833334}, {"start": 1266.17, "end": 1266.59, "word": " واحد", "probability": 0.930908203125}, {"start": 1266.59, "end": 1267.49, "word": " بنشوف", "probability": 0.8270670572916666}, {"start": 1267.49, "end": 1267.95, "word": " هل", "probability": 0.876220703125}, {"start": 1267.95, "end": 1268.77, "word": " ممكن", "probability": 0.95166015625}, {"start": 1268.77, "end": 1270.01, "word": " المعادلة", "probability": 0.9771728515625}, {"start": 1270.01, "end": 1270.71, "word": " تبقى", "probability": 0.9595947265625}, {"start": 1270.71, "end": 1271.41, "word": " صحيحة", "probability": 0.97119140625}, {"start": 1271.41, "end": 1271.51, "word": " و", "probability": 0.5078125}, {"start": 1271.51, "end": 1271.71, "word": " الله", "probability": 0.84814453125}, {"start": 1271.71, "end": 1271.83, "word": " ما", "probability": 0.91357421875}, {"start": 1271.83, "end": 1272.55, "word": " هياش", "probability": 0.6090087890625}, {"start": 1272.55, "end": 1273.43, "word": " صحيحة", "probability": 0.8458984375}, {"start": 1273.43, "end": 1273.89, "word": " السؤال", "probability": 0.9490559895833334}, {"start": 1273.89, "end": 1274.37, "word": " الأول", "probability": 0.943115234375}, {"start": 1274.37, "end": 1275.23, "word": " ال", "probability": 0.75}, {"start": 1275.23, "end": 1275.41, "word": " E", "probability": 0.97509765625}, {"start": 1275.41, "end": 1275.63, "word": " of", "probability": 0.9755859375}, {"start": 1275.63, "end": 1275.83, "word": " Y", "probability": 0.98486328125}, {"start": 1275.83, "end": 1276.21, "word": " عمرها", "probability": 0.6984049479166666}, {"start": 1276.21, "end": 1276.67, "word": " بتاخد", "probability": 0.93212890625}, {"start": 1276.67, "end": 1277.21, "word": " قيمة", "probability": 0.9698893229166666}, {"start": 1277.21, "end": 1277.95, "word": " سالبة؟", "probability": 0.8258056640625}], "temperature": 1.0}, {"id": 58, "seek": 128989, "start": 1278.87, "end": 1289.89, "text": "في الشمكانية دايما موجب هل هذا قيمة سالبة و الله موجبة تعالى نشوف شيل الواحد بصير القمتين جت بعض", "tokens": [41185, 25124, 2304, 41361, 10632, 11778, 47302, 15042, 3714, 29245, 3555, 8032, 1211, 23758, 12174, 32640, 3660, 8608, 6027, 49401, 4032, 21984, 3714, 29245, 49401, 37279, 6027, 7578, 8717, 8592, 38688, 13412, 26895, 2423, 14407, 24401, 4724, 9381, 13546, 25062, 2304, 2655, 9957, 10874, 2655, 45030, 11242], "avg_logprob": -0.286621102442344, "compression_ratio": 1.4745762711864407, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1278.87, "end": 1279.07, "word": "في", "probability": 0.2022705078125}, {"start": 1279.07, "end": 1279.77, "word": " الشمكانية", "probability": 0.858642578125}, {"start": 1279.77, "end": 1280.07, "word": " دايما", "probability": 0.79541015625}, {"start": 1280.07, "end": 1280.71, "word": " موجب", "probability": 0.671875}, {"start": 1280.71, "end": 1282.15, "word": " هل", "probability": 0.748046875}, {"start": 1282.15, "end": 1282.85, "word": " هذا", "probability": 0.947265625}, {"start": 1282.85, "end": 1283.65, "word": " قيمة", "probability": 0.9664713541666666}, {"start": 1283.65, "end": 1284.13, "word": " سالبة", "probability": 0.6329752604166666}, {"start": 1284.13, "end": 1284.29, "word": " و", "probability": 0.356201171875}, {"start": 1284.29, "end": 1284.49, "word": " الله", "probability": 0.62744140625}, {"start": 1284.49, "end": 1285.17, "word": " موجبة", "probability": 0.8515625}, {"start": 1285.17, "end": 1285.93, "word": " تعالى", "probability": 0.8271484375}, {"start": 1285.93, "end": 1286.35, "word": " نشوف", "probability": 0.99072265625}, {"start": 1286.35, "end": 1287.45, "word": " شيل", "probability": 0.881591796875}, {"start": 1287.45, "end": 1288.25, "word": " الواحد", "probability": 0.958984375}, {"start": 1288.25, "end": 1288.73, "word": " بصير", "probability": 0.8025716145833334}, {"start": 1288.73, "end": 1289.25, "word": " القمتين", "probability": 0.8642578125}, {"start": 1289.25, "end": 1289.49, "word": " جت", "probability": 0.33203125}, {"start": 1289.49, "end": 1289.89, "word": " بعض", "probability": 0.945068359375}], "temperature": 1.0}, {"id": 59, "seek": 131371, "start": 1294.23, "end": 1313.71, "text": "القيمة التانية أكبر من الأولى بإشارة مخالفة إذا المجموعة الاتنين بدي أعطيني قيمة هل هذا كلام ممكن؟ ليس ممكن يبقى هذا مرفوض يبقى هذا بقوله impossible ايش السبب؟ because", "tokens": [6027, 4587, 32640, 3660, 16712, 7649, 10632, 5551, 4117, 26890, 9154, 16247, 12610, 7578, 4724, 28814, 8592, 9640, 3660, 3714, 9778, 6027, 5172, 3660, 11933, 15730, 9673, 7435, 2304, 2407, 27884, 2423, 9307, 1863, 9957, 4724, 16254, 5551, 3615, 9566, 9957, 1829, 12174, 32640, 3660, 8032, 1211, 23758, 28242, 10943, 3714, 43020, 22807, 32239, 3794, 3714, 43020, 7251, 3555, 4587, 7578, 23758, 3714, 28480, 2407, 11242, 7251, 3555, 4587, 7578, 23758, 4724, 39648, 3224, 6243, 1975, 1829, 8592, 21136, 3555, 3555, 22807, 570], "avg_logprob": -0.27752977503197535, "compression_ratio": 1.6055555555555556, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 1294.23, "end": 1295.47, "word": "القيمة", "probability": 0.5690155029296875}, {"start": 1295.47, "end": 1295.91, "word": " التانية", "probability": 0.8644205729166666}, {"start": 1295.91, "end": 1296.57, "word": " أكبر", "probability": 0.865234375}, {"start": 1296.57, "end": 1296.79, "word": " من", "probability": 0.95849609375}, {"start": 1296.79, "end": 1297.27, "word": " الأولى", "probability": 0.94970703125}, {"start": 1297.27, "end": 1297.89, "word": " بإشارة", "probability": 0.9619140625}, {"start": 1297.89, "end": 1298.77, "word": " مخالفة", "probability": 0.9603515625}, {"start": 1298.77, "end": 1299.21, "word": " إذا", "probability": 0.911865234375}, {"start": 1299.21, "end": 1299.73, "word": " المجموعة", "probability": 0.8796875}, {"start": 1299.73, "end": 1299.97, "word": " الاتنين", "probability": 0.69830322265625}, {"start": 1299.97, "end": 1300.21, "word": " بدي", "probability": 0.55511474609375}, {"start": 1300.21, "end": 1300.57, "word": " أعطيني", "probability": 0.7043701171875}, {"start": 1300.57, "end": 1301.23, "word": " قيمة", "probability": 0.98876953125}, {"start": 1301.23, "end": 1302.25, "word": " هل", "probability": 0.775146484375}, {"start": 1302.25, "end": 1302.51, "word": " هذا", "probability": 0.92236328125}, {"start": 1302.51, "end": 1302.83, "word": " كلام", "probability": 0.799560546875}, {"start": 1302.83, "end": 1303.49, "word": " ممكن؟", "probability": 0.9064127604166666}, {"start": 1303.49, "end": 1304.03, "word": " ليس", "probability": 0.7030029296875}, {"start": 1304.03, "end": 1304.57, "word": " ممكن", "probability": 0.625732421875}, {"start": 1304.57, "end": 1305.27, "word": " يبقى", "probability": 0.786407470703125}, {"start": 1305.27, "end": 1305.49, "word": " هذا", "probability": 0.94287109375}, {"start": 1305.49, "end": 1306.13, "word": " مرفوض", "probability": 0.92578125}, {"start": 1306.13, "end": 1306.87, "word": " يبقى", "probability": 0.92578125}, {"start": 1306.87, "end": 1307.17, "word": " هذا", "probability": 0.97119140625}, {"start": 1307.17, "end": 1308.07, "word": " بقوله", "probability": 0.6920572916666666}, {"start": 1308.07, "end": 1309.47, "word": " impossible", "probability": 0.529296875}, {"start": 1309.47, "end": 1312.03, "word": " ايش", "probability": 0.7527669270833334}, {"start": 1312.03, "end": 1312.67, "word": " السبب؟", "probability": 0.9407958984375}, {"start": 1312.67, "end": 1313.71, "word": " because", "probability": 0.5712890625}], "temperature": 1.0}, {"id": 60, "seek": 132784, "start": 1317.56, "end": 1327.84, "text": "إن ال E أس Y greater than zero and X ناقص الجدرى التربية ل X تربية زايد واحدة قل من Zero", "tokens": [28814, 1863, 2423, 462, 5551, 3794, 398, 5044, 813, 4018, 293, 1783, 8717, 995, 4587, 9381, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 5296, 1783, 6055, 25513, 10632, 30767, 995, 25708, 36764, 24401, 3660, 12174, 1211, 9154, 17182], "avg_logprob": -0.46634614620453274, "compression_ratio": 1.1304347826086956, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1317.56, "end": 1317.98, "word": "إن", "probability": 0.53173828125}, {"start": 1317.98, "end": 1318.28, "word": " ال", "probability": 0.50146484375}, {"start": 1318.28, "end": 1318.58, "word": " E", "probability": 0.454833984375}, {"start": 1318.58, "end": 1319.04, "word": " أس", "probability": 0.353179931640625}, {"start": 1319.04, "end": 1319.36, "word": " Y", "probability": 0.9189453125}, {"start": 1319.36, "end": 1319.8, "word": " greater", "probability": 0.412841796875}, {"start": 1319.8, "end": 1320.34, "word": " than", "probability": 0.9326171875}, {"start": 1320.34, "end": 1320.86, "word": " zero", "probability": 0.458740234375}, {"start": 1320.86, "end": 1321.76, "word": " and", "probability": 0.77783203125}, {"start": 1321.76, "end": 1322.92, "word": " X", "probability": 0.5087890625}, {"start": 1322.92, "end": 1323.48, "word": " ناقص", "probability": 0.86328125}, {"start": 1323.48, "end": 1324.06, "word": " الجدرى", "probability": 0.6617431640625}, {"start": 1324.06, "end": 1324.58, "word": " التربية", "probability": 0.7179361979166666}, {"start": 1324.58, "end": 1324.72, "word": " ل", "probability": 0.24072265625}, {"start": 1324.72, "end": 1324.92, "word": " X", "probability": 0.376953125}, {"start": 1324.92, "end": 1325.4, "word": " تربية", "probability": 0.9000651041666666}, {"start": 1325.4, "end": 1325.78, "word": " زايد", "probability": 0.6299641927083334}, {"start": 1325.78, "end": 1326.26, "word": " واحدة", "probability": 0.9405924479166666}, {"start": 1326.26, "end": 1326.68, "word": " قل", "probability": 0.931884765625}, {"start": 1326.68, "end": 1327.44, "word": " من", "probability": 0.970703125}, {"start": 1327.44, "end": 1327.84, "word": " Zero", "probability": 0.298828125}], "temperature": 1.0}, {"id": 61, "seek": 135727, "start": 1328.99, "end": 1357.27, "text": "بنقل بعض في الإشارة إذا لا يمكن أن يحدث هذا يبقى لنا مين E أس Y يساوي X زائد الجدرى التربية إلى X تربية زائد مام زائد واحد خد لن للطرفين يبقى لو أخدنا لن للطرفين بصير ال Y تساوي لن X زائد الجدرى التربية إلى X تربية زائد واحد مين هي Y أنا فرضها", "tokens": [3555, 1863, 4587, 1211, 45030, 11242, 8978, 33688, 8592, 9640, 3660, 11933, 15730, 20193, 7251, 43020, 14739, 7251, 24401, 12984, 23758, 7251, 3555, 4587, 7578, 5296, 8315, 3714, 9957, 462, 5551, 3794, 398, 7251, 3794, 995, 45865, 1783, 30767, 16373, 3215, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 30731, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 3714, 10943, 30767, 16373, 3215, 36764, 24401, 16490, 3215, 5296, 1863, 24976, 9566, 28480, 9957, 7251, 3555, 4587, 7578, 45164, 5551, 9778, 3215, 8315, 5296, 1863, 24976, 9566, 28480, 9957, 4724, 9381, 13546, 2423, 398, 6055, 3794, 995, 45865, 5296, 1863, 1783, 30767, 16373, 3215, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 30731, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 3714, 9957, 39896, 398, 41850, 6156, 43042, 11296], "avg_logprob": -0.1963582726444785, "compression_ratio": 2.1414141414141414, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1328.99, "end": 1329.55, "word": "بنقل", "probability": 0.724609375}, {"start": 1329.55, "end": 1329.93, "word": " بعض", "probability": 0.9140625}, {"start": 1329.93, "end": 1330.05, "word": " في", "probability": 0.83935546875}, {"start": 1330.05, "end": 1330.59, "word": " الإشارة", "probability": 0.9315185546875}, {"start": 1330.59, "end": 1330.81, "word": " إذا", "probability": 0.94775390625}, {"start": 1330.81, "end": 1331.05, "word": " لا", "probability": 0.63623046875}, {"start": 1331.05, "end": 1331.49, "word": " يمكن", "probability": 0.9638671875}, {"start": 1331.49, "end": 1331.75, "word": " أن", "probability": 0.66455078125}, {"start": 1331.75, "end": 1332.41, "word": " يحدث", "probability": 0.9645182291666666}, {"start": 1332.41, "end": 1332.83, "word": " هذا", "probability": 0.91455078125}, {"start": 1332.83, "end": 1333.75, "word": " يبقى", "probability": 0.676666259765625}, {"start": 1333.75, "end": 1334.13, "word": " لنا", "probability": 0.795166015625}, {"start": 1334.13, "end": 1334.51, "word": " مين", "probability": 0.56884765625}, {"start": 1334.51, "end": 1334.97, "word": " E", "probability": 0.2476806640625}, {"start": 1334.97, "end": 1335.49, "word": " أس", "probability": 0.3717041015625}, {"start": 1335.49, "end": 1335.77, "word": " Y", "probability": 0.955078125}, {"start": 1335.77, "end": 1336.43, "word": " يساوي", "probability": 0.8607177734375}, {"start": 1336.43, "end": 1336.85, "word": " X", "probability": 0.9677734375}, {"start": 1336.85, "end": 1337.71, "word": " زائد", "probability": 0.8531901041666666}, {"start": 1337.71, "end": 1338.29, "word": " الجدرى", "probability": 0.721405029296875}, {"start": 1338.29, "end": 1338.81, "word": " التربية", "probability": 0.8981119791666666}, {"start": 1338.81, "end": 1339.03, "word": " إلى", "probability": 0.28564453125}, {"start": 1339.03, "end": 1339.29, "word": " X", "probability": 0.98974609375}, {"start": 1339.29, "end": 1339.75, "word": " تربية", "probability": 0.822265625}, {"start": 1339.75, "end": 1340.19, "word": " زائد", "probability": 0.9375}, {"start": 1340.19, "end": 1340.65, "word": " مام", "probability": 0.67724609375}, {"start": 1340.65, "end": 1341.75, "word": " زائد", "probability": 0.9169921875}, {"start": 1341.75, "end": 1342.07, "word": " واحد", "probability": 0.941650390625}, {"start": 1342.07, "end": 1343.07, "word": " خد", "probability": 0.8037109375}, {"start": 1343.07, "end": 1343.53, "word": " لن", "probability": 0.5816650390625}, {"start": 1343.53, "end": 1344.77, "word": " للطرفين", "probability": 0.9390869140625}, {"start": 1344.77, "end": 1345.57, "word": " يبقى", "probability": 0.9259033203125}, {"start": 1345.57, "end": 1345.79, "word": " لو", "probability": 0.93212890625}, {"start": 1345.79, "end": 1346.41, "word": " أخدنا", "probability": 0.92724609375}, {"start": 1346.41, "end": 1346.73, "word": " لن", "probability": 0.94482421875}, {"start": 1346.73, "end": 1347.53, "word": " للطرفين", "probability": 0.987060546875}, {"start": 1347.53, "end": 1348.11, "word": " بصير", "probability": 0.6873372395833334}, {"start": 1348.11, "end": 1348.31, "word": " ال", "probability": 0.8447265625}, {"start": 1348.31, "end": 1348.71, "word": " Y", "probability": 0.927734375}, {"start": 1348.71, "end": 1349.69, "word": " تساوي", "probability": 0.9423828125}, {"start": 1349.69, "end": 1350.25, "word": " لن", "probability": 0.940673828125}, {"start": 1350.25, "end": 1350.81, "word": " X", "probability": 0.99169921875}, {"start": 1350.81, "end": 1351.63, "word": " زائد", "probability": 0.94873046875}, {"start": 1351.63, "end": 1352.21, "word": " الجدرى", "probability": 0.9681396484375}, {"start": 1352.21, "end": 1352.79, "word": " التربية", "probability": 0.9928385416666666}, {"start": 1352.79, "end": 1353.05, "word": " إلى", "probability": 0.94970703125}, {"start": 1353.05, "end": 1353.25, "word": " X", "probability": 0.99560546875}, {"start": 1353.25, "end": 1353.77, "word": " تربية", "probability": 0.84912109375}, {"start": 1353.77, "end": 1354.49, "word": " زائد", "probability": 0.9807942708333334}, {"start": 1354.49, "end": 1354.85, "word": " واحد", "probability": 0.9814453125}, {"start": 1354.85, "end": 1355.85, "word": " مين", "probability": 0.881591796875}, {"start": 1355.85, "end": 1356.03, "word": " هي", "probability": 0.74951171875}, {"start": 1356.03, "end": 1356.37, "word": " Y", "probability": 0.89013671875}, {"start": 1356.37, "end": 1356.63, "word": " أنا", "probability": 0.5146484375}, {"start": 1356.63, "end": 1357.27, "word": " فرضها", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 62, "seek": 138362, "start": 1358.52, "end": 1383.62, "text": "سينش انفرس X جديش طلعت Y لن X اذا المعنى هذا الكلام انه سينش انفرس Y بص و هكذا سينش انفرس X بدها تساوي سينش انفرس لل X بدها تساوي لن X زائد X تربية", "tokens": [3794, 9957, 8592, 16472, 5172, 2288, 3794, 1783, 10874, 16254, 8592, 23032, 1211, 34268, 398, 5296, 1863, 1783, 1975, 15730, 9673, 3615, 1863, 7578, 23758, 2423, 28820, 10943, 16472, 3224, 8608, 9957, 8592, 16472, 5172, 2288, 3794, 398, 4724, 9381, 4032, 8032, 4117, 15730, 8608, 9957, 8592, 16472, 5172, 2288, 3794, 1783, 47525, 11296, 6055, 3794, 995, 45865, 8608, 9957, 8592, 16472, 5172, 2288, 3794, 24976, 1783, 47525, 11296, 6055, 3794, 995, 45865, 5296, 1863, 1783, 30767, 16373, 3215, 1783, 6055, 25513, 10632], "avg_logprob": -0.2730654701590538, "compression_ratio": 1.9384615384615385, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 1358.52, "end": 1359.16, "word": "سينش", "probability": 0.4900105794270833}, {"start": 1359.16, "end": 1359.72, "word": " انفرس", "probability": 0.851806640625}, {"start": 1359.72, "end": 1360.0, "word": " X", "probability": 0.52294921875}, {"start": 1360.0, "end": 1360.88, "word": " جديش", "probability": 0.593994140625}, {"start": 1360.88, "end": 1361.34, "word": " طلعت", "probability": 0.9521484375}, {"start": 1361.34, "end": 1361.88, "word": " Y", "probability": 0.9716796875}, {"start": 1361.88, "end": 1363.82, "word": " لن", "probability": 0.551025390625}, {"start": 1363.82, "end": 1364.24, "word": " X", "probability": 0.97314453125}, {"start": 1364.24, "end": 1364.5, "word": " اذا", "probability": 0.51416015625}, {"start": 1364.5, "end": 1365.0, "word": " المعنى", "probability": 0.7735595703125}, {"start": 1365.0, "end": 1365.28, "word": " هذا", "probability": 0.91357421875}, {"start": 1365.28, "end": 1365.98, "word": " الكلام", "probability": 0.92138671875}, {"start": 1365.98, "end": 1366.78, "word": " انه", "probability": 0.85107421875}, {"start": 1366.78, "end": 1367.44, "word": " سينش", "probability": 0.7605794270833334}, {"start": 1367.44, "end": 1368.56, "word": " انفرس", "probability": 0.92724609375}, {"start": 1368.56, "end": 1369.12, "word": " Y", "probability": 0.96630859375}, {"start": 1369.12, "end": 1369.92, "word": " بص", "probability": 0.31475830078125}, {"start": 1369.92, "end": 1370.16, "word": " و", "probability": 0.654296875}, {"start": 1370.16, "end": 1370.9, "word": " هكذا", "probability": 0.8909505208333334}, {"start": 1370.9, "end": 1372.12, "word": " سينش", "probability": 0.94287109375}, {"start": 1372.12, "end": 1373.44, "word": " انفرس", "probability": 0.9893798828125}, {"start": 1373.44, "end": 1373.96, "word": " X", "probability": 0.9716796875}, {"start": 1373.96, "end": 1374.82, "word": " بدها", "probability": 0.935546875}, {"start": 1374.82, "end": 1375.68, "word": " تساوي", "probability": 0.9617919921875}, {"start": 1375.68, "end": 1376.9, "word": " سينش", "probability": 0.802978515625}, {"start": 1376.9, "end": 1377.78, "word": " انفرس", "probability": 0.9869384765625}, {"start": 1377.78, "end": 1378.18, "word": " لل", "probability": 0.49951171875}, {"start": 1378.18, "end": 1378.7, "word": " X", "probability": 0.93115234375}, {"start": 1378.7, "end": 1379.48, "word": " بدها", "probability": 0.959716796875}, {"start": 1379.48, "end": 1380.1, "word": " تساوي", "probability": 0.9788818359375}, {"start": 1380.1, "end": 1380.78, "word": " لن", "probability": 0.930908203125}, {"start": 1380.78, "end": 1381.62, "word": " X", "probability": 0.99365234375}, {"start": 1381.62, "end": 1382.66, "word": " زائد", "probability": 0.90380859375}, {"start": 1382.66, "end": 1383.14, "word": " X", "probability": 0.6826171875}, {"start": 1383.14, "end": 1383.62, "word": " تربية", "probability": 0.4674479166666667}], "temperature": 1.0}, {"id": 63, "seek": 141631, "start": 1389.59, "end": 1416.31, "text": "طيب الان انتهى ال section و بدنا نوصل لمسائل التمرين فعندك المسائل من واحد لغاية اربعة وسبعين يبقى exercises سبعة سبعة المسائل من واحد لاربعة وسبعين اللي هي multiple of three", "tokens": [9566, 1829, 3555, 2423, 7649, 16472, 47395, 7578, 2423, 3541, 4032, 47525, 8315, 8717, 2407, 36520, 32767, 3794, 16373, 1211, 16712, 29973, 9957, 6156, 3615, 41260, 4117, 9673, 3794, 16373, 1211, 9154, 36764, 24401, 5296, 17082, 995, 10632, 1975, 25513, 27884, 4032, 35457, 3615, 9957, 7251, 3555, 4587, 7578, 11900, 8608, 3555, 27884, 8608, 3555, 27884, 9673, 3794, 16373, 1211, 9154, 36764, 24401, 5296, 9640, 3555, 27884, 4032, 35457, 3615, 9957, 13672, 1829, 39896, 3866, 295, 1045], "avg_logprob": -0.15444711729502067, "compression_ratio": 1.698224852071006, "no_speech_prob": 0.0, "words": [{"start": 1389.59, "end": 1390.43, "word": "طيب", "probability": 0.7191975911458334}, {"start": 1390.43, "end": 1390.89, "word": " الان", "probability": 0.6455078125}, {"start": 1390.89, "end": 1391.97, "word": " انتهى", "probability": 0.8863932291666666}, {"start": 1391.97, "end": 1392.07, "word": " ال", "probability": 0.8408203125}, {"start": 1392.07, "end": 1392.51, "word": " section", "probability": 0.85693359375}, {"start": 1392.51, "end": 1393.59, "word": " و", "probability": 0.8310546875}, {"start": 1393.59, "end": 1394.33, "word": " بدنا", "probability": 0.757080078125}, {"start": 1394.33, "end": 1394.79, "word": " نوصل", "probability": 0.9884440104166666}, {"start": 1394.79, "end": 1395.77, "word": " لمسائل", "probability": 0.888916015625}, {"start": 1395.77, "end": 1396.71, "word": " التمرين", "probability": 0.9851888020833334}, {"start": 1396.71, "end": 1397.85, "word": " فعندك", "probability": 0.802734375}, {"start": 1397.85, "end": 1398.81, "word": " المسائل", "probability": 0.981689453125}, {"start": 1398.81, "end": 1399.39, "word": " من", "probability": 0.97802734375}, {"start": 1399.39, "end": 1400.07, "word": " واحد", "probability": 0.762451171875}, {"start": 1400.07, "end": 1400.79, "word": " لغاية", "probability": 0.98388671875}, {"start": 1400.79, "end": 1401.63, "word": " اربعة", "probability": 0.7959798177083334}, {"start": 1401.63, "end": 1402.63, "word": " وسبعين", "probability": 0.8809814453125}, {"start": 1402.63, "end": 1403.81, "word": " يبقى", "probability": 0.9454345703125}, {"start": 1403.81, "end": 1404.55, "word": " exercises", "probability": 0.9560546875}, {"start": 1404.55, "end": 1406.49, "word": " سبعة", "probability": 0.80029296875}, {"start": 1406.49, "end": 1407.47, "word": " سبعة", "probability": 0.8111979166666666}, {"start": 1407.47, "end": 1408.73, "word": " المسائل", "probability": 0.971923828125}, {"start": 1408.73, "end": 1408.93, "word": " من", "probability": 0.98828125}, {"start": 1408.93, "end": 1409.61, "word": " واحد", "probability": 0.9677734375}, {"start": 1409.61, "end": 1410.73, "word": " لاربعة", "probability": 0.93603515625}, {"start": 1410.73, "end": 1411.53, "word": " وسبعين", "probability": 0.9775390625}, {"start": 1411.53, "end": 1411.79, "word": " اللي", "probability": 0.741943359375}, {"start": 1411.79, "end": 1411.95, "word": " هي", "probability": 0.625}, {"start": 1411.95, "end": 1412.77, "word": " multiple", "probability": 0.77197265625}, {"start": 1412.77, "end": 1414.89, "word": " of", "probability": 0.96142578125}, {"start": 1414.89, "end": 1416.31, "word": " three", "probability": 0.76953125}], "temperature": 1.0}, {"id": 64, "seek": 142720, "start": 1417.28, "end": 1427.2, "text": "مش عاجزاكوا بس إليكوا بعض الأسئلة التي أتينا بها في امتحانات سابقة يبقى كمان exercises", "tokens": [2304, 8592, 6225, 26108, 11622, 995, 4117, 14407, 4724, 3794, 11933, 20292, 4117, 14407, 45030, 11242, 16247, 3794, 19986, 37977, 38392, 5551, 31371, 8315, 4724, 11296, 8978, 1975, 2304, 2655, 5016, 7649, 9307, 8608, 16758, 28671, 7251, 3555, 4587, 7578, 9122, 2304, 7649, 11900], "avg_logprob": -0.1803819417953491, "compression_ratio": 1.2844827586206897, "no_speech_prob": 0.0, "words": [{"start": 1417.28, "end": 1417.58, "word": "مش", "probability": 0.702880859375}, {"start": 1417.58, "end": 1418.28, "word": " عاجزاكوا", "probability": 0.7357991536458334}, {"start": 1418.28, "end": 1418.68, "word": " بس", "probability": 0.953369140625}, {"start": 1418.68, "end": 1419.72, "word": " إليكوا", "probability": 0.79705810546875}, {"start": 1419.72, "end": 1420.04, "word": " بعض", "probability": 0.95458984375}, {"start": 1420.04, "end": 1420.62, "word": " الأسئلة", "probability": 0.9647216796875}, {"start": 1420.62, "end": 1420.98, "word": " التي", "probability": 0.483642578125}, {"start": 1420.98, "end": 1421.58, "word": " أتينا", "probability": 0.7556966145833334}, {"start": 1421.58, "end": 1421.92, "word": " بها", "probability": 0.833984375}, {"start": 1421.92, "end": 1422.12, "word": " في", "probability": 0.94287109375}, {"start": 1422.12, "end": 1423.4, "word": " امتحانات", "probability": 0.9314778645833334}, {"start": 1423.4, "end": 1424.68, "word": " سابقة", "probability": 0.9886067708333334}, {"start": 1424.68, "end": 1426.08, "word": " يبقى", "probability": 0.9024658203125}, {"start": 1426.08, "end": 1426.54, "word": " كمان", "probability": 0.9337565104166666}, {"start": 1426.54, "end": 1427.2, "word": " exercises", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 65, "seek": 145373, "start": 1431.45, "end": 1453.73, "text": "أول سؤال بيقول لي solve for x حل بالنسبة إلى x اللي هو من d على dx لمين؟ لتكامل من عشرة للإي أُس x لإتنين", "tokens": [10721, 12610, 8608, 33604, 6027, 4724, 1829, 39648, 32239, 5039, 337, 2031, 11331, 1211, 20666, 1863, 35457, 3660, 30731, 2031, 13672, 1829, 31439, 9154, 274, 15844, 30017, 32767, 9957, 22807, 5296, 2655, 4117, 10943, 1211, 9154, 6225, 8592, 25720, 24976, 28814, 1829, 5551, 10859, 3794, 2031, 5296, 28814, 2655, 1863, 9957], "avg_logprob": -0.30618990843112653, "compression_ratio": 1.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 1431.45, "end": 1432.01, "word": "أول", "probability": 0.797119140625}, {"start": 1432.01, "end": 1432.73, "word": " سؤال", "probability": 0.9873046875}, {"start": 1432.73, "end": 1433.19, "word": " بيقول", "probability": 0.8499348958333334}, {"start": 1433.19, "end": 1433.47, "word": " لي", "probability": 0.2353515625}, {"start": 1433.47, "end": 1433.99, "word": " solve", "probability": 0.78466796875}, {"start": 1433.99, "end": 1436.11, "word": " for", "probability": 0.8115234375}, {"start": 1436.11, "end": 1436.67, "word": " x", "probability": 0.8154296875}, {"start": 1436.67, "end": 1437.51, "word": " حل", "probability": 0.810302734375}, {"start": 1437.51, "end": 1438.29, "word": " بالنسبة", "probability": 0.9044189453125}, {"start": 1438.29, "end": 1438.59, "word": " إلى", "probability": 0.45361328125}, {"start": 1438.59, "end": 1439.21, "word": " x", "probability": 0.88916015625}, {"start": 1439.21, "end": 1439.95, "word": " اللي", "probability": 0.871337890625}, {"start": 1439.95, "end": 1440.21, "word": " هو", "probability": 0.92236328125}, {"start": 1440.21, "end": 1440.55, "word": " من", "probability": 0.88525390625}, {"start": 1440.55, "end": 1441.19, "word": " d", "probability": 0.48193359375}, {"start": 1441.19, "end": 1442.55, "word": " على", "probability": 0.72216796875}, {"start": 1442.55, "end": 1443.63, "word": " dx", "probability": 0.943359375}, {"start": 1443.63, "end": 1445.17, "word": " لمين؟", "probability": 0.6515299479166666}, {"start": 1445.17, "end": 1446.47, "word": " لتكامل", "probability": 0.96708984375}, {"start": 1446.47, "end": 1447.53, "word": " من", "probability": 0.99072265625}, {"start": 1447.53, "end": 1448.49, "word": " عشرة", "probability": 0.8470052083333334}, {"start": 1448.49, "end": 1449.95, "word": " للإي", "probability": 0.6065266927083334}, {"start": 1449.95, "end": 1450.47, "word": " أُس", "probability": 0.582275390625}, {"start": 1450.47, "end": 1450.99, "word": " x", "probability": 0.53271484375}, {"start": 1450.99, "end": 1453.73, "word": " لإتنين", "probability": 0.707421875}], "temperature": 1.0}, {"id": 66, "seek": 147907, "start": 1454.01, "end": 1479.07, "text": "جوش انفرس لان ال T كله على TDT بده يساوي تلاتة مرفوعة للأس لغريتم أربعة للأساس تسعة سؤال التاني برضه شهودات بييل لي ان", "tokens": [7435, 2407, 8592, 16472, 5172, 2288, 3794, 5296, 7649, 2423, 314, 28242, 3224, 15844, 314, 35, 51, 47525, 3224, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 3714, 28480, 2407, 27884, 24976, 10721, 3794, 5296, 17082, 16572, 39237, 5551, 25513, 27884, 24976, 10721, 3794, 32277, 6055, 3794, 27884, 8608, 33604, 6027, 16712, 7649, 1829, 4724, 43042, 3224, 13412, 3224, 23328, 9307, 4724, 1829, 26895, 32239, 16472], "avg_logprob": -0.30480410002950414, "compression_ratio": 1.5035971223021583, "no_speech_prob": 0.0, "words": [{"start": 1454.01, "end": 1455.21, "word": "جوش", "probability": 0.66748046875}, {"start": 1455.21, "end": 1456.57, "word": " انفرس", "probability": 0.78759765625}, {"start": 1456.57, "end": 1458.07, "word": " لان", "probability": 0.77880859375}, {"start": 1458.07, "end": 1458.57, "word": " ال", "probability": 0.419677734375}, {"start": 1458.57, "end": 1458.93, "word": " T", "probability": 0.76611328125}, {"start": 1458.93, "end": 1459.77, "word": " كله", "probability": 0.953125}, {"start": 1459.77, "end": 1460.15, "word": " على", "probability": 0.8828125}, {"start": 1460.15, "end": 1462.01, "word": " TDT", "probability": 0.6468505859375}, {"start": 1462.01, "end": 1463.19, "word": " بده", "probability": 0.703369140625}, {"start": 1463.19, "end": 1464.05, "word": " يساوي", "probability": 0.9581298828125}, {"start": 1464.05, "end": 1465.47, "word": " تلاتة", "probability": 0.9002685546875}, {"start": 1465.47, "end": 1466.27, "word": " مرفوعة", "probability": 0.916015625}, {"start": 1466.27, "end": 1466.93, "word": " للأس", "probability": 0.71142578125}, {"start": 1466.93, "end": 1468.09, "word": " لغريتم", "probability": 0.671051025390625}, {"start": 1468.09, "end": 1468.77, "word": " أربعة", "probability": 0.86865234375}, {"start": 1468.77, "end": 1470.01, "word": " للأساس", "probability": 0.941162109375}, {"start": 1470.01, "end": 1470.59, "word": " تسعة", "probability": 0.9697265625}, {"start": 1470.59, "end": 1472.19, "word": " سؤال", "probability": 0.9051106770833334}, {"start": 1472.19, "end": 1473.19, "word": " التاني", "probability": 0.8258463541666666}, {"start": 1473.19, "end": 1475.27, "word": " برضه", "probability": 0.94091796875}, {"start": 1475.27, "end": 1476.23, "word": " شهودات", "probability": 0.690185546875}, {"start": 1476.23, "end": 1478.29, "word": " بييل", "probability": 0.6087646484375}, {"start": 1478.29, "end": 1478.53, "word": " لي", "probability": 0.484619140625}, {"start": 1478.53, "end": 1479.07, "word": " ان", "probability": 0.6708984375}], "temperature": 1.0}, {"id": 67, "seek": 150512, "start": 1480.24, "end": 1505.12, "text": "D على DX لمن؟ لتكامل من E أسالب Sine X لل E Sine X لإن T DT بده يساوي اللي هو Sine 2X في سنش لSine X", "tokens": [35, 15844, 48817, 5296, 27842, 22807, 5296, 2655, 4117, 10943, 1211, 9154, 462, 5551, 3794, 6027, 3555, 318, 533, 1783, 24976, 462, 318, 533, 1783, 5296, 28814, 1863, 314, 413, 51, 47525, 3224, 7251, 3794, 995, 45865, 13672, 1829, 31439, 318, 533, 568, 55, 8978, 8608, 1863, 8592, 5296, 50, 533, 1783], "avg_logprob": -0.35259433962264153, "compression_ratio": 1.228813559322034, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1480.24, "end": 1480.88, "word": "D", "probability": 0.1884765625}, {"start": 1480.88, "end": 1482.22, "word": " على", "probability": 0.54248046875}, {"start": 1482.22, "end": 1483.02, "word": " DX", "probability": 0.92626953125}, {"start": 1483.02, "end": 1484.52, "word": " لمن؟", "probability": 0.7177734375}, {"start": 1484.52, "end": 1485.92, "word": " لتكامل", "probability": 0.9654296875}, {"start": 1485.92, "end": 1486.24, "word": " من", "probability": 0.9765625}, {"start": 1486.24, "end": 1486.6, "word": " E", "probability": 0.76953125}, {"start": 1486.6, "end": 1487.52, "word": " أسالب", "probability": 0.644622802734375}, {"start": 1487.52, "end": 1488.1, "word": " Sine", "probability": 0.3818359375}, {"start": 1488.1, "end": 1488.7, "word": " X", "probability": 0.91162109375}, {"start": 1488.7, "end": 1489.6, "word": " لل", "probability": 0.498779296875}, {"start": 1489.6, "end": 1490.18, "word": " E", "probability": 0.7802734375}, {"start": 1490.18, "end": 1491.26, "word": " Sine", "probability": 0.65576171875}, {"start": 1491.26, "end": 1491.98, "word": " X", "probability": 0.9951171875}, {"start": 1491.98, "end": 1493.52, "word": " لإن", "probability": 0.6685384114583334}, {"start": 1493.52, "end": 1494.34, "word": " T", "probability": 0.5}, {"start": 1494.34, "end": 1495.56, "word": " DT", "probability": 0.55078125}, {"start": 1495.56, "end": 1496.06, "word": " بده", "probability": 0.509033203125}, {"start": 1496.06, "end": 1496.74, "word": " يساوي", "probability": 0.9715576171875}, {"start": 1496.74, "end": 1497.82, "word": " اللي", "probability": 0.831787109375}, {"start": 1497.82, "end": 1497.94, "word": " هو", "probability": 0.9619140625}, {"start": 1497.94, "end": 1498.78, "word": " Sine", "probability": 0.898681640625}, {"start": 1498.78, "end": 1500.78, "word": " 2X", "probability": 0.796142578125}, {"start": 1500.78, "end": 1501.6, "word": " في", "probability": 0.80224609375}, {"start": 1501.6, "end": 1502.68, "word": " سنش", "probability": 0.8128255208333334}, {"start": 1502.68, "end": 1504.48, "word": " لSine", "probability": 0.8155924479166666}, {"start": 1504.48, "end": 1505.12, "word": " X", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 68, "seek": 153463, "start": 1507.51, "end": 1534.63, "text": "سؤال التالت طبعا المسائل اللي هتروح تدور كل الكتب بتلاقيهش مسائل زي هي اللي بركبهم تركيب مشان نجم عدة مواضيع بسؤال واحد وهدف الامتحان الأول السؤال الأول والسؤال التالت في ال first اللي هو midterm exam دير بلق يعني زي الامتحان اللي جاينا بعد كداش بعد أسبوعين ان شاء الله تعالى طيب", "tokens": [3794, 33604, 6027, 16712, 6027, 2655, 23032, 3555, 3615, 995, 9673, 3794, 16373, 1211, 13672, 1829, 8032, 2655, 32887, 5016, 6055, 3215, 13063, 28242, 33251, 2655, 3555, 39894, 15040, 38436, 3224, 8592, 47524, 16373, 1211, 30767, 1829, 39896, 13672, 1829, 4724, 31747, 3555, 16095, 6055, 31747, 1829, 3555, 37893, 7649, 8717, 7435, 2304, 6225, 41891, 3714, 2407, 46958, 40228, 4724, 3794, 33604, 6027, 36764, 24401, 37037, 3215, 5172, 2423, 10943, 2655, 5016, 7649, 16247, 12610, 21136, 33604, 6027, 16247, 12610, 16070, 3794, 33604, 6027, 16712, 6027, 2655, 8978, 2423, 700, 13672, 1829, 31439, 2062, 7039, 1139, 11778, 13546, 4724, 1211, 4587, 37495, 22653, 30767, 1829, 2423, 10943, 2655, 5016, 7649, 13672, 1829, 10874, 47302, 8315, 39182, 9122, 3215, 33599, 39182, 5551, 35457, 45367, 9957, 16472, 13412, 16606, 21984, 37279, 6027, 7578, 23032, 1829, 3555], "avg_logprob": -0.22129629651705424, "compression_ratio": 1.9254901960784314, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1507.51, "end": 1508.01, "word": "سؤال", "probability": 0.8728841145833334}, {"start": 1508.01, "end": 1508.61, "word": " التالت", "probability": 0.7819010416666666}, {"start": 1508.61, "end": 1509.53, "word": " طبعا", "probability": 0.8873291015625}, {"start": 1509.53, "end": 1509.99, "word": " المسائل", "probability": 0.6995849609375}, {"start": 1509.99, "end": 1510.19, "word": " اللي", "probability": 0.531494140625}, {"start": 1510.19, "end": 1510.65, "word": " هتروح", "probability": 0.736572265625}, {"start": 1510.65, "end": 1510.97, "word": " تدور", "probability": 0.9095052083333334}, {"start": 1510.97, "end": 1511.27, "word": " كل", "probability": 0.86376953125}, {"start": 1511.27, "end": 1511.67, "word": " الكتب", "probability": 0.97900390625}, {"start": 1511.67, "end": 1512.27, "word": " بتلاقيهش", "probability": 0.74423828125}, {"start": 1512.27, "end": 1512.73, "word": " مسائل", "probability": 0.9134114583333334}, {"start": 1512.73, "end": 1512.99, "word": " زي", "probability": 0.968017578125}, {"start": 1512.99, "end": 1513.29, "word": " هي", "probability": 0.86376953125}, {"start": 1513.29, "end": 1513.91, "word": " اللي", "probability": 0.536346435546875}, {"start": 1513.91, "end": 1514.51, "word": " بركبهم", "probability": 0.7237548828125}, {"start": 1514.51, "end": 1514.99, "word": " تركيب", "probability": 0.96533203125}, {"start": 1514.99, "end": 1515.31, "word": " مشان", "probability": 0.6512451171875}, {"start": 1515.31, "end": 1515.59, "word": " نجم", "probability": 0.9703776041666666}, {"start": 1515.59, "end": 1516.23, "word": " عدة", "probability": 0.647705078125}, {"start": 1516.23, "end": 1517.23, "word": " مواضيع", "probability": 0.893310546875}, {"start": 1517.23, "end": 1518.09, "word": " بسؤال", "probability": 0.991943359375}, {"start": 1518.09, "end": 1518.63, "word": " واحد", "probability": 0.98291015625}, {"start": 1518.63, "end": 1519.69, "word": " وهدف", "probability": 0.7626953125}, {"start": 1519.69, "end": 1520.45, "word": " الامتحان", "probability": 0.95654296875}, {"start": 1520.45, "end": 1521.25, "word": " الأول", "probability": 0.90087890625}, {"start": 1521.25, "end": 1522.01, "word": " السؤال", "probability": 0.90234375}, {"start": 1522.01, "end": 1522.35, "word": " الأول", "probability": 0.9697265625}, {"start": 1522.35, "end": 1522.79, "word": " والسؤال", "probability": 0.8787841796875}, {"start": 1522.79, "end": 1523.35, "word": " التالت", "probability": 0.9142252604166666}, {"start": 1523.35, "end": 1523.97, "word": " في", "probability": 0.5732421875}, {"start": 1523.97, "end": 1524.13, "word": " ال", "probability": 0.89306640625}, {"start": 1524.13, "end": 1524.89, "word": " first", "probability": 0.76025390625}, {"start": 1524.89, "end": 1525.39, "word": " اللي", "probability": 0.961669921875}, {"start": 1525.39, "end": 1525.59, "word": " هو", "probability": 0.97021484375}, {"start": 1525.59, "end": 1526.15, "word": " midterm", "probability": 0.587158203125}, {"start": 1526.15, "end": 1526.85, "word": " exam", "probability": 0.98876953125}, {"start": 1526.85, "end": 1527.45, "word": " دير", "probability": 0.5352783203125}, {"start": 1527.45, "end": 1527.83, "word": " بلق", "probability": 0.6497395833333334}, {"start": 1527.83, "end": 1528.39, "word": " يعني", "probability": 0.7890625}, {"start": 1528.39, "end": 1528.59, "word": " زي", "probability": 0.5933837890625}, {"start": 1528.59, "end": 1529.07, "word": " الامتحان", "probability": 0.98310546875}, {"start": 1529.07, "end": 1529.21, "word": " اللي", "probability": 0.97265625}, {"start": 1529.21, "end": 1529.63, "word": " جاينا", "probability": 0.8287760416666666}, {"start": 1529.63, "end": 1529.87, "word": " بعد", "probability": 0.9638671875}, {"start": 1529.87, "end": 1530.57, "word": " كداش", "probability": 0.7986653645833334}, {"start": 1530.57, "end": 1531.39, "word": " بعد", "probability": 0.779296875}, {"start": 1531.39, "end": 1532.05, "word": " أسبوعين", "probability": 0.8973388671875}, {"start": 1532.05, "end": 1532.21, "word": " ان", "probability": 0.6748046875}, {"start": 1532.21, "end": 1532.51, "word": " شاء", "probability": 0.9619140625}, {"start": 1532.51, "end": 1532.65, "word": " الله", "probability": 0.9619140625}, {"start": 1532.65, "end": 1533.31, "word": " تعالى", "probability": 0.8631184895833334}, {"start": 1533.31, "end": 1534.63, "word": " طيب", "probability": 0.9495442708333334}], "temperature": 1.0}, {"id": 69, "seek": 155670, "start": 1535.32, "end": 1556.7, "text": "السؤال التالت بيقول لي find y' for each of the following بلاش حاجة انت و اياها خلاص، احنا عم نعطيك مشان تتضرر، ييجي مايجيش هذا شأننا", "tokens": [6027, 3794, 33604, 6027, 16712, 6027, 2655, 4724, 1829, 39648, 32239, 915, 288, 6, 337, 1184, 295, 264, 3480, 4724, 1211, 33599, 11331, 26108, 3660, 16472, 2655, 4032, 1975, 25528, 11296, 16490, 1211, 33546, 12399, 1975, 5016, 8315, 6225, 2304, 8717, 3615, 9566, 1829, 4117, 37893, 7649, 6055, 2655, 11242, 2288, 2288, 12399, 7251, 1829, 7435, 1829, 19446, 1829, 7435, 1829, 8592, 23758, 13412, 33456, 8315], "avg_logprob": -0.22924439720253445, "compression_ratio": 1.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 1535.32, "end": 1535.96, "word": "السؤال", "probability": 0.8641357421875}, {"start": 1535.96, "end": 1536.74, "word": " التالت", "probability": 0.9493815104166666}, {"start": 1536.74, "end": 1537.94, "word": " بيقول", "probability": 0.8522135416666666}, {"start": 1537.94, "end": 1538.2, "word": " لي", "probability": 0.236328125}, {"start": 1538.2, "end": 1538.92, "word": " find", "probability": 0.685546875}, {"start": 1538.92, "end": 1541.12, "word": " y'", "probability": 0.61474609375}, {"start": 1541.94, "end": 1543.16, "word": " for", "probability": 0.90966796875}, {"start": 1543.16, "end": 1544.24, "word": " each", "probability": 0.9736328125}, {"start": 1544.24, "end": 1545.52, "word": " of", "probability": 0.97705078125}, {"start": 1545.52, "end": 1546.78, "word": " the", "probability": 0.92431640625}, {"start": 1546.78, "end": 1547.76, "word": " following", "probability": 0.8837890625}, {"start": 1547.76, "end": 1550.88, "word": " بلاش", "probability": 0.8333333333333334}, {"start": 1550.88, "end": 1551.12, "word": " حاجة", "probability": 0.86376953125}, {"start": 1551.12, "end": 1551.32, "word": " انت", "probability": 0.861083984375}, {"start": 1551.32, "end": 1551.46, "word": " و", "probability": 0.80224609375}, {"start": 1551.46, "end": 1551.7, "word": " اياها", "probability": 0.58837890625}, {"start": 1551.7, "end": 1552.62, "word": " خلاص،", "probability": 0.79949951171875}, {"start": 1552.62, "end": 1552.9, "word": " احنا", "probability": 0.9391276041666666}, {"start": 1552.9, "end": 1553.06, "word": " عم", "probability": 0.720458984375}, {"start": 1553.06, "end": 1553.56, "word": " نعطيك", "probability": 0.9796875}, {"start": 1553.56, "end": 1553.9, "word": " مشان", "probability": 0.71435546875}, {"start": 1553.9, "end": 1554.96, "word": " تتضرر،", "probability": 0.7950846354166666}, {"start": 1554.96, "end": 1555.34, "word": " ييجي", "probability": 0.8583984375}, {"start": 1555.34, "end": 1555.82, "word": " مايجيش", "probability": 0.86474609375}, {"start": 1555.82, "end": 1556.04, "word": " هذا", "probability": 0.81298828125}, {"start": 1556.04, "end": 1556.7, "word": " شأننا", "probability": 0.9280598958333334}], "temperature": 1.0}, {"id": 70, "seek": 158499, "start": 1558.71, "end": 1584.99, "text": "طيب النقطة الأولى اللى هو Y يساوي X أُس جوش ال X نمرة اتنين Y تساوي نمرة أربعة Y تساوي تانش inverse لواحد علي كتانش ال X نمرة خمسة", "tokens": [9566, 1829, 3555, 28239, 47432, 3660, 16247, 12610, 7578, 13672, 7578, 31439, 398, 7251, 3794, 995, 45865, 1783, 5551, 10859, 3794, 10874, 2407, 8592, 2423, 1783, 8717, 2304, 25720, 1975, 2655, 1863, 9957, 398, 6055, 3794, 995, 45865, 8717, 2304, 25720, 5551, 25513, 27884, 398, 6055, 3794, 995, 45865, 6055, 7649, 8592, 17340, 5296, 14407, 24401, 25894, 9122, 2655, 7649, 8592, 2423, 1783, 8717, 2304, 25720, 16490, 2304, 3794, 3660], "avg_logprob": -0.21478872693760295, "compression_ratio": 1.553191489361702, "no_speech_prob": 0.0, "words": [{"start": 1558.71, "end": 1559.17, "word": "طيب", "probability": 0.7201334635416666}, {"start": 1559.17, "end": 1559.87, "word": " النقطة", "probability": 0.95654296875}, {"start": 1559.87, "end": 1560.79, "word": " الأولى", "probability": 0.9384765625}, {"start": 1560.79, "end": 1561.53, "word": " اللى", "probability": 0.754150390625}, {"start": 1561.53, "end": 1561.83, "word": " هو", "probability": 0.78466796875}, {"start": 1561.83, "end": 1562.31, "word": " Y", "probability": 0.5517578125}, {"start": 1562.31, "end": 1563.41, "word": " يساوي", "probability": 0.8897705078125}, {"start": 1563.41, "end": 1564.01, "word": " X", "probability": 0.9755859375}, {"start": 1564.01, "end": 1565.03, "word": " أُس", "probability": 0.5790608723958334}, {"start": 1565.03, "end": 1566.21, "word": " جوش", "probability": 0.7738444010416666}, {"start": 1566.21, "end": 1566.53, "word": " ال", "probability": 0.65380859375}, {"start": 1566.53, "end": 1566.97, "word": " X", "probability": 0.826171875}, {"start": 1566.97, "end": 1568.05, "word": " نمرة", "probability": 0.78369140625}, {"start": 1568.05, "end": 1568.73, "word": " اتنين", "probability": 0.8843994140625}, {"start": 1568.73, "end": 1569.47, "word": " Y", "probability": 0.76611328125}, {"start": 1569.47, "end": 1570.45, "word": " تساوي", "probability": 0.95703125}, {"start": 1570.45, "end": 1572.33, "word": " نمرة", "probability": 0.875}, {"start": 1572.33, "end": 1573.35, "word": " أربعة", "probability": 0.8916015625}, {"start": 1573.35, "end": 1575.61, "word": " Y", "probability": 0.93115234375}, {"start": 1575.61, "end": 1576.73, "word": " تساوي", "probability": 0.96923828125}, {"start": 1576.73, "end": 1577.97, "word": " تانش", "probability": 0.7378743489583334}, {"start": 1577.97, "end": 1579.11, "word": " inverse", "probability": 0.484375}, {"start": 1579.11, "end": 1580.59, "word": " لواحد", "probability": 0.8626302083333334}, {"start": 1580.59, "end": 1581.05, "word": " علي", "probability": 0.329345703125}, {"start": 1581.05, "end": 1582.33, "word": " كتانش", "probability": 0.868408203125}, {"start": 1582.33, "end": 1582.55, "word": " ال", "probability": 0.7763671875}, {"start": 1582.55, "end": 1582.89, "word": " X", "probability": 0.986328125}, {"start": 1582.89, "end": 1583.99, "word": " نمرة", "probability": 0.93994140625}, {"start": 1583.99, "end": 1584.99, "word": " خمسة", "probability": 0.9246826171875}], "temperature": 1.0}, {"id": 71, "seek": 161545, "start": 1586.47, "end": 1615.45, "text": "ي تساوي غوش انفرس لمين لسنج تلاتة اكس سؤال الرابع value of the following integrals احسب للتكاملات التالية", "tokens": [1829, 6055, 3794, 995, 45865, 32771, 2407, 8592, 16472, 5172, 2288, 3794, 32767, 9957, 5296, 3794, 1863, 7435, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 8608, 33604, 6027, 34892, 16758, 3615, 2158, 295, 264, 3480, 3572, 1124, 1975, 5016, 35457, 24976, 2655, 4117, 10943, 1211, 9307, 16712, 6027, 10632], "avg_logprob": -0.27453125417232516, "compression_ratio": 1.2406015037593985, "no_speech_prob": 0.0, "words": [{"start": 1586.47, "end": 1587.05, "word": "ي", "probability": 0.35595703125}, {"start": 1587.05, "end": 1587.99, "word": " تساوي", "probability": 0.77215576171875}, {"start": 1587.99, "end": 1589.17, "word": " غوش", "probability": 0.5566813151041666}, {"start": 1589.17, "end": 1590.43, "word": " انفرس", "probability": 0.7611083984375}, {"start": 1590.43, "end": 1591.55, "word": " لمين", "probability": 0.86083984375}, {"start": 1591.55, "end": 1593.89, "word": " لسنج", "probability": 0.649658203125}, {"start": 1593.89, "end": 1595.53, "word": " تلاتة", "probability": 0.8922119140625}, {"start": 1595.53, "end": 1596.01, "word": " اكس", "probability": 0.7955729166666666}, {"start": 1596.01, "end": 1598.11, "word": " سؤال", "probability": 0.9013671875}, {"start": 1598.11, "end": 1598.89, "word": " الرابع", "probability": 0.98193359375}, {"start": 1598.89, "end": 1600.79, "word": " value", "probability": 0.10400390625}, {"start": 1600.79, "end": 1604.43, "word": " of", "probability": 0.5625}, {"start": 1604.43, "end": 1604.65, "word": " the", "probability": 0.88232421875}, {"start": 1604.65, "end": 1607.57, "word": " following", "probability": 0.7724609375}, {"start": 1607.57, "end": 1609.79, "word": " integrals", "probability": 0.926513671875}, {"start": 1609.79, "end": 1612.39, "word": " احسب", "probability": 0.8831380208333334}, {"start": 1612.39, "end": 1613.97, "word": " للتكاملات", "probability": 0.9368489583333334}, {"start": 1613.97, "end": 1615.45, "word": " التالية", "probability": 0.9562174479166666}], "temperature": 1.0}, {"id": 72, "seek": 166064, "start": 1643.94, "end": 1660.64, "text": "بنقص 2x نقص 16dx التاني تكامل ل 1 على x الجدري التربيعي ل 4 زائد x والستة dx", "tokens": [3555, 1863, 4587, 9381, 568, 87, 8717, 4587, 9381, 3165, 67, 87, 16712, 7649, 1829, 6055, 4117, 10943, 1211, 5296, 502, 15844, 2031, 25724, 3215, 16572, 16712, 2288, 21292, 3615, 1829, 5296, 1017, 30767, 16373, 3215, 2031, 16070, 14851, 3660, 30017], "avg_logprob": -0.40699403768494014, "compression_ratio": 1.2551020408163265, "no_speech_prob": 0.0, "words": [{"start": 1643.9399999999998, "end": 1645.34, "word": "بنقص", "probability": 0.371124267578125}, {"start": 1645.34, "end": 1646.48, "word": " 2x", "probability": 0.487548828125}, {"start": 1646.48, "end": 1647.76, "word": " نقص", "probability": 0.752685546875}, {"start": 1647.76, "end": 1649.64, "word": " 16dx", "probability": 0.7760416666666666}, {"start": 1649.64, "end": 1651.18, "word": " التاني", "probability": 0.8986002604166666}, {"start": 1651.18, "end": 1652.18, "word": " تكامل", "probability": 0.9542236328125}, {"start": 1652.18, "end": 1653.02, "word": " ل", "probability": 0.64306640625}, {"start": 1653.02, "end": 1653.56, "word": " 1", "probability": 0.296142578125}, {"start": 1653.56, "end": 1654.58, "word": " على", "probability": 0.53955078125}, {"start": 1654.58, "end": 1654.88, "word": " x", "probability": 0.80615234375}, {"start": 1654.88, "end": 1655.56, "word": " الجدري", "probability": 0.6636555989583334}, {"start": 1655.56, "end": 1656.58, "word": " التربيعي", "probability": 0.87509765625}, {"start": 1656.58, "end": 1657.1, "word": " ل", "probability": 0.8369140625}, {"start": 1657.1, "end": 1657.48, "word": " 4", "probability": 0.63916015625}, {"start": 1657.48, "end": 1658.24, "word": " زائد", "probability": 0.7716471354166666}, {"start": 1658.24, "end": 1658.6, "word": " x", "probability": 0.9814453125}, {"start": 1658.6, "end": 1659.9, "word": " والستة", "probability": 0.5597127278645834}, {"start": 1659.9, "end": 1660.64, "word": " dx", "probability": 0.67236328125}], "temperature": 1.0}, {"id": 73, "seek": 168996, "start": 1661.58, "end": 1689.96, "text": "التالت تكامل ل DX على الجدرى التربيعى ل E أس اتنين X ناقص سبعة وعشرين الرابع بدنا تكامل لمين من Zero لغاية نص لمين ل DX على خمسة وعشرين ناقص X تربيع", "tokens": [6027, 2655, 6027, 2655, 6055, 4117, 10943, 1211, 5296, 48817, 15844, 25724, 3215, 2288, 7578, 16712, 2288, 21292, 3615, 7578, 5296, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 8717, 995, 4587, 9381, 8608, 3555, 27884, 4032, 3615, 46309, 9957, 34892, 16758, 3615, 47525, 8315, 6055, 4117, 10943, 1211, 32767, 9957, 9154, 17182, 5296, 17082, 995, 10632, 8717, 9381, 32767, 9957, 5296, 48817, 15844, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 8717, 995, 4587, 9381, 1783, 6055, 2288, 21292, 3615], "avg_logprob": -0.20293445721632097, "compression_ratio": 1.7046979865771812, "no_speech_prob": 0.0, "words": [{"start": 1661.58, "end": 1662.64, "word": "التالت", "probability": 0.726806640625}, {"start": 1662.64, "end": 1663.7, "word": " تكامل", "probability": 0.9708251953125}, {"start": 1663.7, "end": 1664.72, "word": " ل", "probability": 0.5498046875}, {"start": 1664.72, "end": 1665.54, "word": " DX", "probability": 0.09222412109375}, {"start": 1665.54, "end": 1666.42, "word": " على", "probability": 0.8408203125}, {"start": 1666.42, "end": 1667.06, "word": " الجدرى", "probability": 0.7376708984375}, {"start": 1667.06, "end": 1668.26, "word": " التربيعى", "probability": 0.83359375}, {"start": 1668.26, "end": 1668.98, "word": " ل", "probability": 0.8291015625}, {"start": 1668.98, "end": 1669.26, "word": " E", "probability": 0.685546875}, {"start": 1669.26, "end": 1669.74, "word": " أس", "probability": 0.5238037109375}, {"start": 1669.74, "end": 1670.4, "word": " اتنين", "probability": 0.92626953125}, {"start": 1670.4, "end": 1670.84, "word": " X", "probability": 0.93701171875}, {"start": 1670.84, "end": 1671.52, "word": " ناقص", "probability": 0.962646484375}, {"start": 1671.52, "end": 1672.38, "word": " سبعة", "probability": 0.9607747395833334}, {"start": 1672.38, "end": 1673.94, "word": " وعشرين", "probability": 0.76220703125}, {"start": 1673.94, "end": 1675.8, "word": " الرابع", "probability": 0.9602864583333334}, {"start": 1675.8, "end": 1677.02, "word": " بدنا", "probability": 0.760498046875}, {"start": 1677.02, "end": 1678.16, "word": " تكامل", "probability": 0.990966796875}, {"start": 1678.16, "end": 1679.4, "word": " لمين", "probability": 0.72900390625}, {"start": 1679.4, "end": 1679.96, "word": " من", "probability": 0.7900390625}, {"start": 1679.96, "end": 1680.6, "word": " Zero", "probability": 0.5517578125}, {"start": 1680.6, "end": 1681.84, "word": " لغاية", "probability": 0.9833984375}, {"start": 1681.84, "end": 1682.52, "word": " نص", "probability": 0.986083984375}, {"start": 1682.52, "end": 1683.6, "word": " لمين", "probability": 0.58935546875}, {"start": 1683.6, "end": 1683.72, "word": " ل", "probability": 0.8447265625}, {"start": 1683.72, "end": 1684.32, "word": " DX", "probability": 0.71728515625}, {"start": 1684.32, "end": 1685.68, "word": " على", "probability": 0.8076171875}, {"start": 1685.68, "end": 1686.72, "word": " خمسة", "probability": 0.9263916015625}, {"start": 1686.72, "end": 1687.68, "word": " وعشرين", "probability": 0.8619384765625}, {"start": 1687.68, "end": 1689.0, "word": " ناقص", "probability": 0.9898681640625}, {"start": 1689.0, "end": 1689.42, "word": " X", "probability": 0.96142578125}, {"start": 1689.42, "end": 1689.96, "word": " تربيع", "probability": 0.859130859375}], "temperature": 1.0}, {"id": 74, "seek": 172195, "start": 1707.91, "end": 1721.95, "text": "بنجي ل section سبعة تمانية خد لك شويتين بس يلا اكتب relative rates of جرافة", "tokens": [3555, 1863, 7435, 1829, 5296, 3541, 8608, 3555, 27884, 46811, 7649, 10632, 16490, 3215, 5296, 4117, 13412, 2407, 36081, 9957, 4724, 3794, 7251, 15040, 1975, 4117, 2655, 3555, 4972, 6846, 295, 10874, 23557, 5172, 3660], "avg_logprob": -0.2851562574505806, "compression_ratio": 1.0857142857142856, "no_speech_prob": 0.0, "words": [{"start": 1707.9099999999999, "end": 1709.31, "word": "بنجي", "probability": 0.66375732421875}, {"start": 1709.31, "end": 1709.43, "word": " ل", "probability": 0.80078125}, {"start": 1709.43, "end": 1709.91, "word": " section", "probability": 0.572265625}, {"start": 1709.91, "end": 1711.01, "word": " سبعة", "probability": 0.756103515625}, {"start": 1711.01, "end": 1711.97, "word": " تمانية", "probability": 0.9757486979166666}, {"start": 1711.97, "end": 1713.85, "word": " خد", "probability": 0.4921875}, {"start": 1713.85, "end": 1714.07, "word": " لك", "probability": 0.7276611328125}, {"start": 1714.07, "end": 1714.87, "word": " شويتين", "probability": 0.9324951171875}, {"start": 1714.87, "end": 1715.15, "word": " بس", "probability": 0.932861328125}, {"start": 1715.15, "end": 1715.43, "word": " يلا", "probability": 0.693115234375}, {"start": 1715.43, "end": 1716.07, "word": " اكتب", "probability": 0.8804931640625}, {"start": 1716.07, "end": 1717.57, "word": " relative", "probability": 0.6337890625}, {"start": 1717.57, "end": 1718.71, "word": " rates", "probability": 0.81787109375}, {"start": 1718.71, "end": 1720.13, "word": " of", "probability": 0.96728515625}, {"start": 1720.13, "end": 1721.95, "word": " جرافة", "probability": 0.8096923828125}], "temperature": 1.0}, {"id": 75, "seek": 175872, "start": 1737.84, "end": 1758.72, "text": "من الآية؟ اتفضل هذا ما .. هذا مانو؟ تلاتة أس لق أربع لنا تسعة هذا كله أس للتلاتة تمام؟ كنتش الجواب طيب تبعه هذا؟", "tokens": [27842, 6024, 95, 10632, 22807, 1975, 2655, 5172, 11242, 1211, 23758, 19446, 4386, 23758, 3714, 7649, 2407, 22807, 6055, 1211, 9307, 3660, 5551, 3794, 5296, 4587, 5551, 25513, 3615, 5296, 8315, 6055, 3794, 27884, 23758, 28242, 3224, 5551, 3794, 24976, 2655, 1211, 9307, 3660, 46811, 10943, 22807, 9122, 29399, 8592, 25724, 14407, 3555, 23032, 1829, 3555, 6055, 3555, 3615, 3224, 23758, 22807], "avg_logprob": -0.3705357275311909, "compression_ratio": 1.5546875, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1737.84, "end": 1738.16, "word": "من", "probability": 0.55859375}, {"start": 1738.16, "end": 1738.72, "word": " الآية؟", "probability": 0.7000732421875}, {"start": 1738.72, "end": 1739.24, "word": " اتفضل", "probability": 0.8876953125}, {"start": 1739.24, "end": 1741.68, "word": " هذا", "probability": 0.386962890625}, {"start": 1741.68, "end": 1742.78, "word": " ما", "probability": 0.389892578125}, {"start": 1742.78, "end": 1743.02, "word": " ..", "probability": 0.304443359375}, {"start": 1743.02, "end": 1744.7, "word": " هذا", "probability": 0.8974609375}, {"start": 1744.7, "end": 1745.88, "word": " مانو؟", "probability": 0.69024658203125}, {"start": 1745.88, "end": 1747.8, "word": " تلاتة", "probability": 0.8992919921875}, {"start": 1747.8, "end": 1748.16, "word": " أس", "probability": 0.5496826171875}, {"start": 1748.16, "end": 1748.64, "word": " لق", "probability": 0.5751953125}, {"start": 1748.64, "end": 1749.12, "word": " أربع", "probability": 0.606689453125}, {"start": 1749.12, "end": 1749.52, "word": " لنا", "probability": 0.4776611328125}, {"start": 1749.52, "end": 1750.4, "word": " تسعة", "probability": 0.7379557291666666}, {"start": 1750.4, "end": 1750.78, "word": " هذا", "probability": 0.409912109375}, {"start": 1750.78, "end": 1751.48, "word": " كله", "probability": 0.951904296875}, {"start": 1751.48, "end": 1751.94, "word": " أس", "probability": 0.91650390625}, {"start": 1751.94, "end": 1753.86, "word": " للتلاتة", "probability": 0.8740234375}, {"start": 1753.86, "end": 1755.4, "word": " تمام؟", "probability": 0.6650797526041666}, {"start": 1755.4, "end": 1756.76, "word": " كنتش", "probability": 0.5423990885416666}, {"start": 1756.76, "end": 1757.18, "word": " الجواب", "probability": 0.9256184895833334}, {"start": 1757.18, "end": 1757.42, "word": " طيب", "probability": 0.9619140625}, {"start": 1757.42, "end": 1757.82, "word": " تبعه", "probability": 0.9071044921875}, {"start": 1757.82, "end": 1758.72, "word": " هذا؟", "probability": 0.850830078125}], "temperature": 1.0}, {"id": 76, "seek": 178413, "start": 1759.67, "end": 1784.13, "text": "على طول الخط الاربعة اتنين تربيع اتنين بتجي تقبلها تصبح تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات تربيع تلات", "tokens": [3615, 23942, 23032, 12610, 33962, 9566, 2423, 9640, 3555, 27884, 1975, 2655, 1863, 9957, 6055, 2288, 21292, 3615, 1975, 2655, 1863, 9957, 39894, 7435, 1829, 6055, 4587, 36150, 11296, 6055, 9381, 49628, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307, 6055, 2288, 21292, 3615, 6055, 1211, 9307], "avg_logprob": -0.10680555237664116, "compression_ratio": 7.142857142857143, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1759.67, "end": 1760.11, "word": "على", "probability": 0.4837646484375}, {"start": 1760.11, "end": 1760.37, "word": " طول", "probability": 0.7900390625}, {"start": 1760.37, "end": 1760.81, "word": " الخط", "probability": 0.954345703125}, {"start": 1760.81, "end": 1761.41, "word": " الاربعة", "probability": 0.7235107421875}, {"start": 1761.41, "end": 1761.79, "word": " اتنين", "probability": 0.82470703125}, {"start": 1761.79, "end": 1762.27, "word": " تربيع", "probability": 0.788330078125}, {"start": 1762.27, "end": 1762.61, "word": " اتنين", "probability": 0.9644775390625}, {"start": 1762.61, "end": 1763.01, "word": " بتجي", "probability": 0.5205485026041666}, {"start": 1763.01, "end": 1763.55, "word": " تقبلها", "probability": 0.57623291015625}, {"start": 1763.55, "end": 1764.15, "word": " تصبح", "probability": 0.6204427083333334}, {"start": 1764.15, "end": 1764.45, "word": " تلات", "probability": 0.6544596354166666}, {"start": 1764.45, "end": 1764.71, "word": " تربيع", "probability": 0.88720703125}, {"start": 1764.71, "end": 1765.51, "word": " تلات", "probability": 0.5944010416666666}, {"start": 1765.51, "end": 1765.81, "word": " تربيع", "probability": 0.788818359375}, {"start": 1765.81, "end": 1765.81, "word": " تلات", "probability": 0.71533203125}, {"start": 1765.81, "end": 1765.81, "word": " تربيع", "probability": 0.8662109375}, {"start": 1765.81, "end": 1765.81, "word": " تلات", "probability": 0.802734375}, {"start": 1765.81, "end": 1765.83, "word": " تربيع", "probability": 0.92919921875}, {"start": 1765.83, "end": 1765.83, "word": " تلات", "probability": 0.8782552083333334}, {"start": 1765.83, "end": 1766.07, "word": " تربيع", "probability": 0.9580078125}, {"start": 1766.07, "end": 1766.11, "word": " تلات", "probability": 0.9256184895833334}, {"start": 1766.11, "end": 1766.11, "word": " تربيع", "probability": 0.970458984375}, {"start": 1766.11, "end": 1766.13, "word": " تلات", "probability": 0.9484049479166666}, {"start": 1766.13, "end": 1766.17, "word": " تربيع", "probability": 0.9765625}, {"start": 1766.17, "end": 1766.33, "word": " تلات", "probability": 0.9602864583333334}, {"start": 1766.33, "end": 1766.33, "word": " تربيع", "probability": 0.9801025390625}, {"start": 1766.33, "end": 1766.57, "word": " تلات", "probability": 0.9666341145833334}, {"start": 1766.57, "end": 1766.57, "word": " تربيع", "probability": 0.9822998046875}, {"start": 1766.57, "end": 1766.59, "word": " تلات", "probability": 0.970703125}, {"start": 1766.59, "end": 1766.59, "word": " تربيع", "probability": 0.98388671875}, {"start": 1766.59, "end": 1766.91, "word": " تلات", "probability": 0.9742838541666666}, {"start": 1766.91, "end": 1768.11, "word": " تربيع", "probability": 0.984375}, {"start": 1768.11, "end": 1769.17, "word": " تلات", "probability": 0.9767252604166666}, {"start": 1769.17, "end": 1769.79, "word": " تربيع", "probability": 0.985107421875}, {"start": 1769.79, "end": 1771.05, "word": " تلات", "probability": 0.9788411458333334}, {"start": 1771.05, "end": 1771.31, "word": " تربيع", "probability": 0.985595703125}, {"start": 1771.31, "end": 1771.31, "word": " تلات", "probability": 0.9803059895833334}, {"start": 1771.31, "end": 1771.41, "word": " تربيع", "probability": 0.9864501953125}, {"start": 1771.41, "end": 1771.41, "word": " تلات", "probability": 0.9817708333333334}, {"start": 1771.41, "end": 1771.41, "word": " تربيع", "probability": 0.986572265625}, {"start": 1771.41, "end": 1771.41, "word": " تلات", "probability": 0.9825846354166666}, {"start": 1771.41, "end": 1771.43, "word": " تربيع", "probability": 0.987060546875}, {"start": 1771.43, "end": 1771.49, "word": " تلات", "probability": 0.9837239583333334}, {"start": 1771.49, "end": 1771.49, "word": " تربيع", "probability": 0.987548828125}, {"start": 1771.49, "end": 1771.49, "word": " تلات", "probability": 0.984375}, {"start": 1771.49, "end": 1771.49, "word": " تربيع", "probability": 0.9876708984375}, {"start": 1771.49, "end": 1771.57, "word": " تلات", "probability": 0.9850260416666666}, {"start": 1771.57, "end": 1771.57, "word": " تربيع", "probability": 0.98828125}, {"start": 1771.57, "end": 1771.57, "word": " تلات", "probability": 0.9855143229166666}, {"start": 1771.57, "end": 1771.57, "word": " تربيع", "probability": 0.9884033203125}, {"start": 1771.57, "end": 1771.73, "word": " تلات", "probability": 0.9861653645833334}, {"start": 1771.73, "end": 1771.73, "word": " تربيع", "probability": 0.9881591796875}, {"start": 1771.73, "end": 1771.73, "word": " تلات", "probability": 0.9864908854166666}, {"start": 1771.73, "end": 1771.73, "word": " تربيع", "probability": 0.988525390625}, {"start": 1771.73, "end": 1771.81, "word": " تلات", "probability": 0.9869791666666666}, {"start": 1771.81, "end": 1771.81, "word": " تربيع", "probability": 0.9884033203125}, {"start": 1771.81, "end": 1772.07, "word": " تلات", "probability": 0.9876302083333334}, {"start": 1772.07, "end": 1772.25, "word": " تربيع", "probability": 0.98779296875}, {"start": 1772.25, "end": 1773.27, "word": " تلات", "probability": 0.9876302083333334}, {"start": 1773.27, "end": 1774.13, "word": " تربيع", "probability": 0.9873046875}, {"start": 1774.13, "end": 1774.41, "word": " تلات", "probability": 0.9879557291666666}, {"start": 1774.41, "end": 1774.91, "word": " تربيع", "probability": 0.9869384765625}, {"start": 1774.91, "end": 1776.87, "word": " تلات", "probability": 0.9884440104166666}, {"start": 1776.87, "end": 1777.85, "word": " تربيع", "probability": 0.9857177734375}, {"start": 1777.85, "end": 1784.13, "word": " تلات", "probability": 0.9884440104166666}], "temperature": 1.0}, {"id": 77, "seek": 180237, "start": 1784.85, "end": 1802.37, "text": "أه طيب نمسح هذا خلاص؟ لأ خليلك التكملات كلها بتخليها لأ احنا منك على العمود الأول يالا ارسلها انت و لايفش وقت لتدلع احنا علمناك اكتب و افهم و ارسم في آن واحد", "tokens": [10721, 3224, 23032, 1829, 3555, 8717, 2304, 3794, 5016, 23758, 16490, 1211, 33546, 22807, 5296, 10721, 16490, 20292, 23275, 16712, 24793, 1211, 9307, 28242, 11296, 39894, 9778, 20292, 11296, 5296, 10721, 1975, 5016, 8315, 9154, 4117, 15844, 18863, 2304, 23328, 16247, 12610, 7251, 6027, 995, 1975, 2288, 3794, 1211, 11296, 16472, 2655, 4032, 20193, 33911, 8592, 4032, 38149, 5296, 2655, 3215, 1211, 3615, 1975, 5016, 8315, 11203, 2304, 8315, 4117, 1975, 4117, 2655, 3555, 4032, 1975, 5172, 16095, 4032, 1975, 2288, 38251, 8978, 19753, 1863, 36764, 24401], "avg_logprob": -0.2723721462217244, "compression_ratio": 1.7407407407407407, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1784.85, "end": 1785.37, "word": "أه", "probability": 0.5106201171875}, {"start": 1785.37, "end": 1785.93, "word": " طيب", "probability": 0.9658203125}, {"start": 1785.93, "end": 1787.19, "word": " نمسح", "probability": 0.9180908203125}, {"start": 1787.19, "end": 1787.43, "word": " هذا", "probability": 0.8671875}, {"start": 1787.43, "end": 1788.05, "word": " خلاص؟", "probability": 0.892578125}, {"start": 1788.05, "end": 1789.29, "word": " لأ", "probability": 0.670654296875}, {"start": 1789.29, "end": 1789.71, "word": " خليلك", "probability": 0.7718098958333334}, {"start": 1789.71, "end": 1790.53, "word": " التكملات", "probability": 0.838134765625}, {"start": 1790.53, "end": 1790.85, "word": " كلها", "probability": 0.8974609375}, {"start": 1790.85, "end": 1791.53, "word": " بتخليها", "probability": 0.826904296875}, {"start": 1791.53, "end": 1792.95, "word": " لأ", "probability": 0.81591796875}, {"start": 1792.95, "end": 1793.17, "word": " احنا", "probability": 0.9527994791666666}, {"start": 1793.17, "end": 1793.45, "word": " منك", "probability": 0.610107421875}, {"start": 1793.45, "end": 1793.59, "word": " على", "probability": 0.5908203125}, {"start": 1793.59, "end": 1793.91, "word": " العمود", "probability": 0.9485677083333334}, {"start": 1793.91, "end": 1794.31, "word": " الأول", "probability": 0.9443359375}, {"start": 1794.31, "end": 1795.87, "word": " يالا", "probability": 0.6923828125}, {"start": 1795.87, "end": 1796.25, "word": " ارسلها", "probability": 0.569384765625}, {"start": 1796.25, "end": 1796.49, "word": " انت", "probability": 0.693603515625}, {"start": 1796.49, "end": 1796.67, "word": " و", "probability": 0.27685546875}, {"start": 1796.67, "end": 1797.01, "word": " لايفش", "probability": 0.4663492838541667}, {"start": 1797.01, "end": 1797.23, "word": " وقت", "probability": 0.99072265625}, {"start": 1797.23, "end": 1797.87, "word": " لتدلع", "probability": 0.73193359375}, {"start": 1797.87, "end": 1798.85, "word": " احنا", "probability": 0.9661458333333334}, {"start": 1798.85, "end": 1799.53, "word": " علمناك", "probability": 0.9639892578125}, {"start": 1799.53, "end": 1800.07, "word": " اكتب", "probability": 0.973388671875}, {"start": 1800.07, "end": 1800.21, "word": " و", "probability": 0.97265625}, {"start": 1800.21, "end": 1800.65, "word": " افهم", "probability": 0.7560221354166666}, {"start": 1800.65, "end": 1800.85, "word": " و", "probability": 0.9951171875}, {"start": 1800.85, "end": 1801.19, "word": " ارسم", "probability": 0.8834635416666666}, {"start": 1801.19, "end": 1801.39, "word": " في", "probability": 0.9423828125}, {"start": 1801.39, "end": 1801.75, "word": " آن", "probability": 0.57855224609375}, {"start": 1801.75, "end": 1802.37, "word": " واحد", "probability": 0.982177734375}], "temperature": 1.0}, {"id": 78, "seek": 184623, "start": 1839.79, "end": 1846.23, "text": "هذا معناه يحسب التكاملات بس وهي التكاملات قدام", "tokens": [3224, 15730, 20449, 8315, 3224, 7251, 5016, 35457, 16712, 4117, 10943, 1211, 9307, 4724, 3794, 37037, 1829, 16712, 4117, 10943, 1211, 9307, 12174, 3215, 10943], "avg_logprob": -0.23978365441927543, "compression_ratio": 1.2686567164179106, "no_speech_prob": 0.0, "words": [{"start": 1839.79, "end": 1840.85, "word": "هذا", "probability": 0.6259765625}, {"start": 1840.85, "end": 1841.19, "word": " معناه", "probability": 0.766357421875}, {"start": 1841.19, "end": 1841.63, "word": " يحسب", "probability": 0.951171875}, {"start": 1841.63, "end": 1842.67, "word": " التكاملات", "probability": 0.884912109375}, {"start": 1842.67, "end": 1844.73, "word": " بس", "probability": 0.6910400390625}, {"start": 1844.73, "end": 1845.17, "word": " وهي", "probability": 0.614501953125}, {"start": 1845.17, "end": 1845.79, "word": " التكاملات", "probability": 0.97431640625}, {"start": 1845.79, "end": 1846.23, "word": " قدام", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 79, "seek": 186562, "start": 1847.8, "end": 1865.62, "text": "وهذا معناه يحسب المشتقات يحسب المشتقات يحسب المشتقات يحسب المشتقات يحسب المشتقات يحسب المشتقات", "tokens": [2407, 3224, 15730, 20449, 8315, 3224, 7251, 5016, 35457, 9673, 8592, 2655, 4587, 9307, 7251, 5016, 35457, 9673, 8592, 2655, 4587, 9307, 7251, 5016, 35457, 9673, 8592, 2655, 4587, 9307, 7251, 5016, 35457, 9673, 8592, 2655, 4587, 9307, 7251, 5016, 35457, 9673, 8592, 2655, 4587, 9307, 7251, 5016, 35457, 9673, 8592, 2655, 4587, 9307], "avg_logprob": -0.3048295530405912, "compression_ratio": 3.125, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1847.8, "end": 1849.2, "word": "وهذا", "probability": 0.6463216145833334}, {"start": 1849.2, "end": 1849.64, "word": " معناه", "probability": 0.764892578125}, {"start": 1849.64, "end": 1850.1, "word": " يحسب", "probability": 0.9475911458333334}, {"start": 1850.1, "end": 1851.14, "word": " المشتقات", "probability": 0.9515625}, {"start": 1851.14, "end": 1853.16, "word": " يحسب", "probability": 0.5538330078125}, {"start": 1853.16, "end": 1854.0, "word": " المشتقات", "probability": 0.8263671875}, {"start": 1854.0, "end": 1854.22, "word": " يحسب", "probability": 0.6559855143229166}, {"start": 1854.22, "end": 1854.3, "word": " المشتقات", "probability": 0.858544921875}, {"start": 1854.3, "end": 1854.3, "word": " يحسب", "probability": 0.750732421875}, {"start": 1854.3, "end": 1854.46, "word": " المشتقات", "probability": 0.9556640625}, {"start": 1854.46, "end": 1855.48, "word": " يحسب", "probability": 0.7980143229166666}, {"start": 1855.48, "end": 1856.42, "word": " المشتقات", "probability": 0.97587890625}, {"start": 1856.42, "end": 1858.68, "word": " يحسب", "probability": 0.7928873697916666}, {"start": 1858.68, "end": 1865.62, "word": " المشتقات", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 80, "seek": 188842, "start": 1865.66, "end": 1888.42, "text": "وهذا زيه وهذا اشتقق لمعكوس الدوال الزائدية يبغى هذا علشان هذا دل زائدية تانش inverse يوليو ليه واحد علاقة تانش وهذا جوش inverse يوليو بسنش تلاتة اكس", "tokens": [2407, 3224, 15730, 30767, 1829, 3224, 4032, 3224, 15730, 1975, 8592, 2655, 4587, 4587, 32767, 3615, 4117, 41779, 32748, 2407, 6027, 6024, 110, 16373, 3215, 10632, 7251, 3555, 17082, 7578, 23758, 11203, 8592, 7649, 23758, 11778, 1211, 30767, 16373, 3215, 10632, 6055, 7649, 8592, 17340, 7251, 12610, 1829, 2407, 32239, 3224, 36764, 24401, 11203, 995, 28671, 6055, 7649, 8592, 4032, 3224, 15730, 10874, 2407, 8592, 17340, 7251, 12610, 1829, 2407, 4724, 3794, 1863, 8592, 6055, 1211, 9307, 3660, 1975, 4117, 3794], "avg_logprob": -0.3088795822568056, "compression_ratio": 1.7297297297297298, "no_speech_prob": 0.0, "words": [{"start": 1865.66, "end": 1866.3, "word": "وهذا", "probability": 0.7356770833333334}, {"start": 1866.3, "end": 1866.88, "word": " زيه", "probability": 0.8094075520833334}, {"start": 1866.88, "end": 1868.2, "word": " وهذا", "probability": 0.628662109375}, {"start": 1868.2, "end": 1868.7, "word": " اشتقق", "probability": 0.740869140625}, {"start": 1868.7, "end": 1869.32, "word": " لمعكوس", "probability": 0.8231201171875}, {"start": 1869.32, "end": 1870.16, "word": " الدوال", "probability": 0.8955078125}, {"start": 1870.16, "end": 1872.1, "word": " الزائدية", "probability": 0.6646728515625}, {"start": 1872.1, "end": 1873.46, "word": " يبغى", "probability": 0.681640625}, {"start": 1873.46, "end": 1873.8, "word": " هذا", "probability": 0.9580078125}, {"start": 1873.8, "end": 1874.36, "word": " علشان", "probability": 0.7974446614583334}, {"start": 1874.36, "end": 1877.6, "word": " هذا", "probability": 0.55419921875}, {"start": 1877.6, "end": 1878.7, "word": " دل", "probability": 0.523681640625}, {"start": 1878.7, "end": 1879.42, "word": " زائدية", "probability": 0.9139404296875}, {"start": 1879.42, "end": 1879.96, "word": " تانش", "probability": 0.8850911458333334}, {"start": 1879.96, "end": 1880.52, "word": " inverse", "probability": 0.66064453125}, {"start": 1880.52, "end": 1881.32, "word": " يوليو", "probability": 0.8243408203125}, {"start": 1881.32, "end": 1881.62, "word": " ليه", "probability": 0.6962890625}, {"start": 1881.62, "end": 1882.04, "word": " واحد", "probability": 0.724853515625}, {"start": 1882.04, "end": 1882.4, "word": " علاقة", "probability": 0.6717122395833334}, {"start": 1882.4, "end": 1883.02, "word": " تانش", "probability": 0.7762858072916666}, {"start": 1883.02, "end": 1884.0, "word": " وهذا", "probability": 0.6876627604166666}, {"start": 1884.0, "end": 1884.54, "word": " جوش", "probability": 0.7157389322916666}, {"start": 1884.54, "end": 1885.2, "word": " inverse", "probability": 0.9267578125}, {"start": 1885.2, "end": 1885.96, "word": " يوليو", "probability": 0.9903564453125}, {"start": 1885.96, "end": 1886.56, "word": " بسنش", "probability": 0.78204345703125}, {"start": 1886.56, "end": 1887.82, "word": " تلاتة", "probability": 0.9559326171875}, {"start": 1887.82, "end": 1888.42, "word": " اكس", "probability": 0.756103515625}], "temperature": 1.0}, {"id": 81, "seek": 191591, "start": 1894.79, "end": 1915.91, "text": "موضوعنا اليوم هذا موضوع بسيط جدا وسهل خالص عمركوا شفتوا مسابقات رياضية؟ ممتازين يبقى هذه مسابقة بس سباق جراي تمام؟ كيف جراي هذا؟ لو جيبنا الشباب اتنين هنا على باب مبنى اللي هو طيبة اللي احنا فيه", "tokens": [2304, 2407, 11242, 45367, 8315, 45595, 20498, 23758, 3714, 2407, 11242, 45367, 4724, 3794, 1829, 9566, 10874, 28259, 46952, 3224, 1211, 16490, 6027, 9381, 6225, 29973, 4117, 14407, 13412, 5172, 2655, 14407, 47524, 16758, 4587, 9307, 12602, 1829, 46958, 10632, 22807, 3714, 2304, 2655, 31377, 9957, 7251, 3555, 4587, 7578, 29538, 47524, 16758, 28671, 4724, 3794, 8608, 3555, 995, 4587, 10874, 23557, 1829, 46811, 10943, 22807, 9122, 33911, 10874, 23557, 1829, 23758, 22807, 45164, 10874, 1829, 3555, 8315, 25124, 3555, 16758, 1975, 2655, 1863, 9957, 34105, 15844, 4724, 16758, 3714, 3555, 1863, 7578, 13672, 1829, 31439, 23032, 1829, 49401, 13672, 1829, 1975, 5016, 8315, 8978, 3224], "avg_logprob": -0.13982184885818266, "compression_ratio": 1.8333333333333333, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1894.79, "end": 1895.45, "word": "موضوعنا", "probability": 0.9912109375}, {"start": 1895.45, "end": 1895.95, "word": " اليوم", "probability": 0.976806640625}, {"start": 1895.95, "end": 1896.61, "word": " هذا", "probability": 0.6123046875}, {"start": 1896.61, "end": 1897.05, "word": " موضوع", "probability": 0.9908447265625}, {"start": 1897.05, "end": 1897.79, "word": " بسيط", "probability": 0.9935302734375}, {"start": 1897.79, "end": 1898.21, "word": " جدا", "probability": 0.98876953125}, {"start": 1898.21, "end": 1898.81, "word": " وسهل", "probability": 0.9244791666666666}, {"start": 1898.81, "end": 1899.35, "word": " خالص", "probability": 0.9959309895833334}, {"start": 1899.35, "end": 1901.29, "word": " عمركوا", "probability": 0.76373291015625}, {"start": 1901.29, "end": 1901.61, "word": " شفتوا", "probability": 0.7452392578125}, {"start": 1901.61, "end": 1902.29, "word": " مسابقات", "probability": 0.9171142578125}, {"start": 1902.29, "end": 1903.31, "word": " رياضية؟", "probability": 0.960546875}, {"start": 1903.31, "end": 1904.57, "word": " ممتازين", "probability": 0.8814453125}, {"start": 1904.57, "end": 1905.07, "word": " يبقى", "probability": 0.536102294921875}, {"start": 1905.07, "end": 1905.33, "word": " هذه", "probability": 0.361083984375}, {"start": 1905.33, "end": 1905.79, "word": " مسابقة", "probability": 0.8875325520833334}, {"start": 1905.79, "end": 1906.13, "word": " بس", "probability": 0.98193359375}, {"start": 1906.13, "end": 1906.81, "word": " سباق", "probability": 0.84100341796875}, {"start": 1906.81, "end": 1907.47, "word": " جراي", "probability": 0.77197265625}, {"start": 1907.47, "end": 1908.53, "word": " تمام؟", "probability": 0.7325846354166666}, {"start": 1908.53, "end": 1908.77, "word": " كيف", "probability": 0.965576171875}, {"start": 1908.77, "end": 1909.19, "word": " جراي", "probability": 0.9630533854166666}, {"start": 1909.19, "end": 1909.89, "word": " هذا؟", "probability": 0.96142578125}, {"start": 1909.89, "end": 1910.55, "word": " لو", "probability": 0.8388671875}, {"start": 1910.55, "end": 1910.91, "word": " جيبنا", "probability": 0.89208984375}, {"start": 1910.91, "end": 1911.33, "word": " الشباب", "probability": 0.9910481770833334}, {"start": 1911.33, "end": 1911.73, "word": " اتنين", "probability": 0.9034423828125}, {"start": 1911.73, "end": 1911.99, "word": " هنا", "probability": 0.95654296875}, {"start": 1911.99, "end": 1912.21, "word": " على", "probability": 0.93359375}, {"start": 1912.21, "end": 1912.55, "word": " باب", "probability": 0.98828125}, {"start": 1912.55, "end": 1913.91, "word": " مبنى", "probability": 0.9827880859375}, {"start": 1913.91, "end": 1914.57, "word": " اللي", "probability": 0.865966796875}, {"start": 1914.57, "end": 1914.73, "word": " هو", "probability": 0.951171875}, {"start": 1914.73, "end": 1915.09, "word": " طيبة", "probability": 0.8797200520833334}, {"start": 1915.09, "end": 1915.27, "word": " اللي", "probability": 0.98876953125}, {"start": 1915.27, "end": 1915.47, "word": " احنا", "probability": 0.9347330729166666}, {"start": 1915.47, "end": 1915.91, "word": " فيه", "probability": 0.989013671875}], "temperature": 1.0}, {"id": 82, "seek": 194443, "start": 1916.53, "end": 1944.43, "text": "وقلنا بيكوا تجروا من هنا لغاية المسجد تبع الجامعة و حددنا الساعة الصفر و جيبنا اتنين .. شو اسمك انت يا ابنيا؟ هيثم هيثم و أنت يا ابو طاجية؟ خالد خالد يبقى هذا هيثم و هذا خالد ابو طاجية تمام؟ و أقفنا اتنين هنا و ضبطنا الساعة الإيقاف و قلنا بيكوا تجروا من هنا لغاية المسجد و أقعدنا له نص تلاتة بدوا يجروا", "tokens": [2407, 4587, 1211, 8315, 4724, 1829, 4117, 14407, 6055, 7435, 2288, 14407, 9154, 34105, 5296, 17082, 995, 10632, 9673, 3794, 7435, 3215, 6055, 3555, 3615, 25724, 10943, 27884, 4032, 11331, 3215, 3215, 8315, 21136, 995, 27884, 31767, 5172, 2288, 4032, 10874, 1829, 3555, 8315, 1975, 2655, 1863, 9957, 4386, 13412, 2407, 24525, 2304, 4117, 16472, 2655, 35186, 48127, 22653, 995, 22807, 8032, 1829, 12984, 2304, 8032, 1829, 12984, 2304, 4032, 14739, 2655, 35186, 48127, 2407, 23032, 26108, 10632, 22807, 16490, 6027, 3215, 16490, 6027, 3215, 7251, 3555, 4587, 7578, 23758, 39896, 12984, 2304, 4032, 23758, 16490, 6027, 3215, 48127, 2407, 23032, 26108, 10632, 46811, 10943, 22807, 4032, 5551, 4587, 5172, 8315, 1975, 2655, 1863, 9957, 34105, 4032, 48812, 3555, 9566, 8315, 21136, 995, 27884, 33688, 1829, 4587, 31845, 4032, 12174, 1211, 8315, 4724, 1829, 4117, 14407, 6055, 7435, 2288, 14407, 9154, 34105, 5296, 17082, 995, 10632, 9673, 3794, 7435, 3215, 4032, 5551, 4587, 22488, 8315, 46740, 8717, 9381, 6055, 1211, 9307, 3660, 47525, 14407, 7251, 7435, 2288, 14407], "avg_logprob": -0.20784024374019464, "compression_ratio": 2.347826086956522, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1916.53, "end": 1917.13, "word": "وقلنا", "probability": 0.8026123046875}, {"start": 1917.13, "end": 1917.53, "word": " بيكوا", "probability": 0.72076416015625}, {"start": 1917.53, "end": 1917.83, "word": " تجروا", "probability": 0.8980712890625}, {"start": 1917.83, "end": 1918.01, "word": " من", "probability": 0.9765625}, {"start": 1918.01, "end": 1918.25, "word": " هنا", "probability": 0.99365234375}, {"start": 1918.25, "end": 1919.83, "word": " لغاية", "probability": 0.87548828125}, {"start": 1919.83, "end": 1920.43, "word": " المسجد", "probability": 0.95263671875}, {"start": 1920.43, "end": 1920.73, "word": " تبع", "probability": 0.7379557291666666}, {"start": 1920.73, "end": 1921.35, "word": " الجامعة", "probability": 0.97607421875}, {"start": 1921.35, "end": 1922.33, "word": " و", "probability": 0.72900390625}, {"start": 1922.33, "end": 1922.85, "word": " حددنا", "probability": 0.740081787109375}, {"start": 1922.85, "end": 1923.21, "word": " الساعة", "probability": 0.9563802083333334}, {"start": 1923.21, "end": 1923.77, "word": " الصفر", "probability": 0.8292643229166666}, {"start": 1923.77, "end": 1924.03, "word": " و", "probability": 0.826171875}, {"start": 1924.03, "end": 1924.51, "word": " جيبنا", "probability": 0.8475341796875}, {"start": 1924.51, "end": 1924.73, "word": " اتنين", "probability": 0.744384765625}, {"start": 1924.73, "end": 1924.77, "word": " ..", "probability": 0.417724609375}, {"start": 1924.77, "end": 1924.93, "word": " شو", "probability": 0.76708984375}, {"start": 1924.93, "end": 1925.17, "word": " اسمك", "probability": 0.90478515625}, {"start": 1925.17, "end": 1925.35, "word": " انت", "probability": 0.8232421875}, {"start": 1925.35, "end": 1925.49, "word": " يا", "probability": 0.9892578125}, {"start": 1925.49, "end": 1926.03, "word": " ابنيا؟", "probability": 0.704833984375}, {"start": 1926.03, "end": 1926.47, "word": " هيثم", "probability": 0.683349609375}, {"start": 1926.47, "end": 1927.33, "word": " هيثم", "probability": 0.74530029296875}, {"start": 1927.33, "end": 1927.41, "word": " و", "probability": 0.82470703125}, {"start": 1927.41, "end": 1927.65, "word": " أنت", "probability": 0.6861572265625}, {"start": 1927.65, "end": 1927.77, "word": " يا", "probability": 0.97265625}, {"start": 1927.77, "end": 1927.91, "word": " ابو", "probability": 0.779296875}, {"start": 1927.91, "end": 1928.71, "word": " طاجية؟", "probability": 0.6514892578125}, {"start": 1928.71, "end": 1929.07, "word": " خالد", "probability": 0.9757486979166666}, {"start": 1929.07, "end": 1929.81, "word": " خالد", "probability": 0.8976236979166666}, {"start": 1929.81, "end": 1930.65, "word": " يبقى", "probability": 0.842529296875}, {"start": 1930.65, "end": 1930.97, "word": " هذا", "probability": 0.818359375}, {"start": 1930.97, "end": 1931.37, "word": " هيثم", "probability": 0.88720703125}, {"start": 1931.37, "end": 1931.49, "word": " و", "probability": 0.673828125}, {"start": 1931.49, "end": 1931.65, "word": " هذا", "probability": 0.95849609375}, {"start": 1931.65, "end": 1932.05, "word": " خالد", "probability": 0.9900716145833334}, {"start": 1932.05, "end": 1932.37, "word": " ابو", "probability": 0.888671875}, {"start": 1932.37, "end": 1932.89, "word": " طاجية", "probability": 0.9749348958333334}, {"start": 1932.89, "end": 1934.25, "word": " تمام؟", "probability": 0.744873046875}, {"start": 1934.25, "end": 1935.17, "word": " و", "probability": 0.85205078125}, {"start": 1935.17, "end": 1935.69, "word": " أقفنا", "probability": 0.69317626953125}, {"start": 1935.69, "end": 1936.11, "word": " اتنين", "probability": 0.976318359375}, {"start": 1936.11, "end": 1936.43, "word": " هنا", "probability": 0.990234375}, {"start": 1936.43, "end": 1936.59, "word": " و", "probability": 0.99462890625}, {"start": 1936.59, "end": 1937.07, "word": " ضبطنا", "probability": 0.956787109375}, {"start": 1937.07, "end": 1937.59, "word": " الساعة", "probability": 0.92578125}, {"start": 1937.59, "end": 1938.33, "word": " الإيقاف", "probability": 0.82550048828125}, {"start": 1938.33, "end": 1938.47, "word": " و", "probability": 0.97021484375}, {"start": 1938.47, "end": 1938.83, "word": " قلنا", "probability": 0.79150390625}, {"start": 1938.83, "end": 1939.73, "word": " بيكوا", "probability": 0.819580078125}, {"start": 1939.73, "end": 1940.13, "word": " تجروا", "probability": 0.9532470703125}, {"start": 1940.13, "end": 1940.29, "word": " من", "probability": 0.97900390625}, {"start": 1940.29, "end": 1940.57, "word": " هنا", "probability": 0.99609375}, {"start": 1940.57, "end": 1940.97, "word": " لغاية", "probability": 0.995849609375}, {"start": 1940.97, "end": 1941.69, "word": " المسجد", "probability": 0.9942626953125}, {"start": 1941.69, "end": 1942.29, "word": " و", "probability": 0.5732421875}, {"start": 1942.29, "end": 1942.73, "word": " أقعدنا", "probability": 0.6353759765625}, {"start": 1942.73, "end": 1942.93, "word": " له", "probability": 0.312744140625}, {"start": 1942.93, "end": 1943.19, "word": " نص", "probability": 0.890869140625}, {"start": 1943.19, "end": 1943.65, "word": " تلاتة", "probability": 0.9512939453125}, {"start": 1943.65, "end": 1943.99, "word": " بدوا", "probability": 0.821044921875}, {"start": 1943.99, "end": 1944.43, "word": " يجروا", "probability": 0.991943359375}], "temperature": 1.0}, {"id": 83, "seek": 195197, "start": 1945.13, "end": 1951.97, "text": "طبعا واحد فيهم رجليه اقول من الثاني فجرّاي، كويس؟ وصل جبل مين؟", "tokens": [9566, 3555, 3615, 995, 36764, 24401, 8978, 16095, 12602, 7435, 20292, 3224, 1975, 4587, 2407, 1211, 9154, 6024, 104, 7649, 1829, 6156, 7435, 2288, 11703, 47302, 12399, 9122, 45865, 3794, 22807, 4032, 36520, 10874, 36150, 3714, 9957, 22807], "avg_logprob": -0.2716346245545607, "compression_ratio": 1.202127659574468, "no_speech_prob": 0.0, "words": [{"start": 1945.13, "end": 1945.69, "word": "طبعا", "probability": 0.927978515625}, {"start": 1945.69, "end": 1946.21, "word": " واحد", "probability": 0.766357421875}, {"start": 1946.21, "end": 1946.55, "word": " فيهم", "probability": 0.94580078125}, {"start": 1946.55, "end": 1946.95, "word": " رجليه", "probability": 0.9293212890625}, {"start": 1946.95, "end": 1947.31, "word": " اقول", "probability": 0.58746337890625}, {"start": 1947.31, "end": 1947.45, "word": " من", "probability": 0.99072265625}, {"start": 1947.45, "end": 1947.83, "word": " الثاني", "probability": 0.9451904296875}, {"start": 1947.83, "end": 1949.09, "word": " فجرّاي،", "probability": 0.56439208984375}, {"start": 1949.09, "end": 1950.37, "word": " كويس؟", "probability": 0.80242919921875}, {"start": 1950.37, "end": 1950.85, "word": " وصل", "probability": 0.96142578125}, {"start": 1950.85, "end": 1951.25, "word": " جبل", "probability": 0.84130859375}, {"start": 1951.25, "end": 1951.97, "word": " مين؟", "probability": 0.8019205729166666}], "temperature": 1.0}, {"id": 84, "seek": 197740, "start": 1952.64, "end": 1977.4, "text": "أبو طاجية وصل جاب الهيثم، تمان؟ فبنقول أبو طاجية أسرع من مين؟ من هيثم، وبنقول هيثم أرضى من أبو طاجية، صحيح ولا لا؟ وفي احتمال يكون هذا مش جليل هذا الولد، تمان؟ ولو انه جليل جال من هذا أكثر منه، لكن في الجراي أبدا مطور", "tokens": [10721, 3555, 2407, 23032, 26108, 10632, 4032, 36520, 10874, 16758, 2423, 3224, 1829, 12984, 2304, 12399, 46811, 7649, 22807, 6156, 3555, 1863, 39648, 5551, 3555, 2407, 23032, 26108, 10632, 5551, 3794, 2288, 3615, 9154, 3714, 9957, 22807, 9154, 8032, 1829, 12984, 2304, 12399, 4032, 3555, 1863, 39648, 8032, 1829, 12984, 2304, 5551, 43042, 7578, 9154, 5551, 3555, 2407, 23032, 26108, 10632, 12399, 20328, 5016, 1829, 5016, 49429, 20193, 22807, 4032, 41185, 1975, 33753, 2304, 6027, 7251, 30544, 23758, 37893, 10874, 20292, 1211, 23758, 2423, 12610, 3215, 12399, 46811, 7649, 22807, 4032, 1211, 2407, 16472, 3224, 10874, 20292, 1211, 10874, 6027, 9154, 23758, 5551, 4117, 49115, 9154, 3224, 12399, 44381, 8978, 25724, 23557, 1829, 5551, 3555, 28259, 3714, 9566, 13063], "avg_logprob": -0.15911458308498064, "compression_ratio": 2.0103092783505154, "no_speech_prob": 0.0, "words": [{"start": 1952.64, "end": 1953.12, "word": "أبو", "probability": 0.8257649739583334}, {"start": 1953.12, "end": 1953.46, "word": " طاجية", "probability": 0.85595703125}, {"start": 1953.46, "end": 1953.9, "word": " وصل", "probability": 0.975830078125}, {"start": 1953.9, "end": 1954.2, "word": " جاب", "probability": 0.86328125}, {"start": 1954.2, "end": 1955.5, "word": " الهيثم،", "probability": 0.6693522135416666}, {"start": 1955.5, "end": 1956.28, "word": " تمان؟", "probability": 0.7078450520833334}, {"start": 1956.28, "end": 1956.92, "word": " فبنقول", "probability": 0.884033203125}, {"start": 1956.92, "end": 1957.36, "word": " أبو", "probability": 0.8533528645833334}, {"start": 1957.36, "end": 1957.96, "word": " طاجية", "probability": 0.9269205729166666}, {"start": 1957.96, "end": 1958.72, "word": " أسرع", "probability": 0.973388671875}, {"start": 1958.72, "end": 1958.94, "word": " من", "probability": 0.98046875}, {"start": 1958.94, "end": 1959.52, "word": " مين؟", "probability": 0.9054361979166666}, {"start": 1959.52, "end": 1959.76, "word": " من", "probability": 0.9833984375}, {"start": 1959.76, "end": 1960.38, "word": " هيثم،", "probability": 0.745849609375}, {"start": 1960.38, "end": 1961.86, "word": " وبنقول", "probability": 0.729248046875}, {"start": 1961.86, "end": 1962.96, "word": " هيثم", "probability": 0.8758544921875}, {"start": 1962.96, "end": 1964.2, "word": " أرضى", "probability": 0.7923177083333334}, {"start": 1964.2, "end": 1964.82, "word": " من", "probability": 0.9013671875}, {"start": 1964.82, "end": 1965.22, "word": " أبو", "probability": 0.9339192708333334}, {"start": 1965.22, "end": 1966.2, "word": " طاجية،", "probability": 0.911865234375}, {"start": 1966.2, "end": 1966.56, "word": " صحيح", "probability": 0.97900390625}, {"start": 1966.56, "end": 1966.72, "word": " ولا", "probability": 0.86083984375}, {"start": 1966.72, "end": 1967.56, "word": " لا؟", "probability": 0.7783203125}, {"start": 1967.56, "end": 1967.82, "word": " وفي", "probability": 0.904052734375}, {"start": 1967.82, "end": 1968.6, "word": " احتمال", "probability": 0.9761962890625}, {"start": 1968.6, "end": 1969.08, "word": " يكون", "probability": 0.96142578125}, {"start": 1969.08, "end": 1969.38, "word": " هذا", "probability": 0.98193359375}, {"start": 1969.38, "end": 1969.62, "word": " مش", "probability": 0.98193359375}, {"start": 1969.62, "end": 1970.04, "word": " جليل", "probability": 0.9441731770833334}, {"start": 1970.04, "end": 1970.26, "word": " هذا", "probability": 0.9765625}, {"start": 1970.26, "end": 1971.0, "word": " الولد،", "probability": 0.952392578125}, {"start": 1971.0, "end": 1972.18, "word": " تمان؟", "probability": 0.9763997395833334}, {"start": 1972.18, "end": 1972.56, "word": " ولو", "probability": 0.8567708333333334}, {"start": 1972.56, "end": 1972.84, "word": " انه", "probability": 0.76171875}, {"start": 1972.84, "end": 1973.22, "word": " جليل", "probability": 0.9835611979166666}, {"start": 1973.22, "end": 1973.52, "word": " جال", "probability": 0.7490234375}, {"start": 1973.52, "end": 1973.68, "word": " من", "probability": 0.98486328125}, {"start": 1973.68, "end": 1973.98, "word": " هذا", "probability": 0.69873046875}, {"start": 1973.98, "end": 1974.42, "word": " أكثر", "probability": 0.9036458333333334}, {"start": 1974.42, "end": 1974.72, "word": " منه،", "probability": 0.9456380208333334}, {"start": 1974.72, "end": 1974.96, "word": " لكن", "probability": 0.9697265625}, {"start": 1974.96, "end": 1975.18, "word": " في", "probability": 0.93115234375}, {"start": 1975.18, "end": 1975.84, "word": " الجراي", "probability": 0.8203125}, {"start": 1975.84, "end": 1976.8, "word": " أبدا", "probability": 0.8670247395833334}, {"start": 1976.8, "end": 1977.4, "word": " مطور", "probability": 0.80615234375}], "temperature": 1.0}, {"id": 85, "seek": 200525, "start": 1978.53, "end": 2005.25, "text": "فقالوا اتنين يجروا ووصلوا اتنين المسجد مع بعض فأقول اتنين grow at the same rate يعني اتنين بينمو اتنين بنفس المعدل الموضوع اللي سمعته هو موضوعنا هذا بس بدنا ناخد limit مش لحد المسجد لما ال X sufficiently large يعني لغاية ما لنهاية وكأنه موضوعنا هذا ال section", "tokens": [5172, 4587, 6027, 14407, 1975, 2655, 1863, 9957, 7251, 7435, 2288, 14407, 4032, 2407, 36520, 14407, 1975, 2655, 1863, 9957, 9673, 3794, 7435, 3215, 20449, 45030, 11242, 6156, 10721, 39648, 1975, 2655, 1863, 9957, 1852, 412, 264, 912, 3314, 37495, 22653, 1975, 2655, 1863, 9957, 4724, 1829, 1863, 2304, 2407, 1975, 2655, 1863, 9957, 44945, 36178, 9673, 22488, 1211, 9673, 2407, 11242, 45367, 13672, 1829, 8608, 2304, 34268, 3224, 31439, 3714, 2407, 11242, 45367, 8315, 23758, 4724, 3794, 47525, 8315, 8717, 47283, 3215, 4948, 37893, 5296, 24401, 9673, 3794, 7435, 3215, 5296, 15042, 2423, 1783, 31868, 2416, 37495, 22653, 5296, 17082, 995, 10632, 19446, 5296, 1863, 11296, 10632, 4032, 4117, 33456, 3224, 3714, 2407, 11242, 45367, 8315, 23758, 2423, 3541], "avg_logprob": -0.16787189590044257, "compression_ratio": 1.8197424892703862, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1978.53, "end": 1979.51, "word": "فقالوا", "probability": 0.4935302734375}, {"start": 1979.51, "end": 1979.99, "word": " اتنين", "probability": 0.8525390625}, {"start": 1979.99, "end": 1980.57, "word": " يجروا", "probability": 0.9515380859375}, {"start": 1980.57, "end": 1981.25, "word": " ووصلوا", "probability": 0.9093017578125}, {"start": 1981.25, "end": 1981.63, "word": " اتنين", "probability": 0.953125}, {"start": 1981.63, "end": 1982.33, "word": " المسجد", "probability": 0.9747314453125}, {"start": 1982.33, "end": 1982.59, "word": " مع", "probability": 0.99072265625}, {"start": 1982.59, "end": 1983.05, "word": " بعض", "probability": 0.9951171875}, {"start": 1983.05, "end": 1983.81, "word": " فأقول", "probability": 0.6399739583333334}, {"start": 1983.81, "end": 1984.41, "word": " اتنين", "probability": 0.975830078125}, {"start": 1984.41, "end": 1984.93, "word": " grow", "probability": 0.638671875}, {"start": 1984.93, "end": 1985.47, "word": " at", "probability": 0.888671875}, {"start": 1985.47, "end": 1985.77, "word": " the", "probability": 0.93115234375}, {"start": 1985.77, "end": 1986.19, "word": " same", "probability": 0.919921875}, {"start": 1986.19, "end": 1986.65, "word": " rate", "probability": 0.978515625}, {"start": 1986.65, "end": 1987.49, "word": " يعني", "probability": 0.796875}, {"start": 1987.49, "end": 1988.03, "word": " اتنين", "probability": 0.979736328125}, {"start": 1988.03, "end": 1988.57, "word": " بينمو", "probability": 0.677392578125}, {"start": 1988.57, "end": 1988.93, "word": " اتنين", "probability": 0.709228515625}, {"start": 1988.93, "end": 1989.73, "word": " بنفس", "probability": 0.88134765625}, {"start": 1989.73, "end": 1990.85, "word": " المعدل", "probability": 0.9765625}, {"start": 1990.85, "end": 1992.19, "word": " الموضوع", "probability": 0.9886474609375}, {"start": 1992.19, "end": 1992.37, "word": " اللي", "probability": 0.8974609375}, {"start": 1992.37, "end": 1993.09, "word": " سمعته", "probability": 0.969970703125}, {"start": 1993.09, "end": 1993.37, "word": " هو", "probability": 0.97119140625}, {"start": 1993.37, "end": 1994.17, "word": " موضوعنا", "probability": 0.830419921875}, {"start": 1994.17, "end": 1994.67, "word": " هذا", "probability": 0.9541015625}, {"start": 1994.67, "end": 1995.41, "word": " بس", "probability": 0.936279296875}, {"start": 1995.41, "end": 1995.77, "word": " بدنا", "probability": 0.873779296875}, {"start": 1995.77, "end": 1996.25, "word": " ناخد", "probability": 0.99365234375}, {"start": 1996.25, "end": 1996.71, "word": " limit", "probability": 0.91259765625}, {"start": 1996.71, "end": 1997.07, "word": " مش", "probability": 0.91357421875}, {"start": 1997.07, "end": 1997.47, "word": " لحد", "probability": 0.9794921875}, {"start": 1997.47, "end": 1998.27, "word": " المسجد", "probability": 0.9952392578125}, {"start": 1998.27, "end": 1999.03, "word": " لما", "probability": 0.58758544921875}, {"start": 1999.03, "end": 1999.21, "word": " ال", "probability": 0.91162109375}, {"start": 1999.21, "end": 1999.31, "word": " X", "probability": 0.257568359375}, {"start": 1999.31, "end": 2000.07, "word": " sufficiently", "probability": 0.87060546875}, {"start": 2000.07, "end": 2000.49, "word": " large", "probability": 0.90869140625}, {"start": 2000.49, "end": 2000.77, "word": " يعني", "probability": 0.951904296875}, {"start": 2000.77, "end": 2001.21, "word": " لغاية", "probability": 0.9857177734375}, {"start": 2001.21, "end": 2001.47, "word": " ما", "probability": 0.86474609375}, {"start": 2001.47, "end": 2002.17, "word": " لنهاية", "probability": 0.892333984375}, {"start": 2002.17, "end": 2003.49, "word": " وكأنه", "probability": 0.8140869140625}, {"start": 2003.49, "end": 2004.45, "word": " موضوعنا", "probability": 0.9833984375}, {"start": 2004.45, "end": 2004.71, "word": " هذا", "probability": 0.95703125}, {"start": 2004.71, "end": 2004.89, "word": " ال", "probability": 0.66357421875}, {"start": 2004.89, "end": 2005.25, "word": " section", "probability": 0.83544921875}], "temperature": 1.0}, {"id": 86, "seek": 203463, "start": 2005.81, "end": 2034.63, "text": "هو تطبيق عملي عالميا على موضوع ال limits سواء كانت لوميتال ولا غير لوميتال اي منهم طبعا اذا نجي لتعريف relative radius of a growth اللي هو اخر section في الشارطة definition من قلت ال F of X and ال G of X", "tokens": [3224, 2407, 6055, 9566, 21292, 4587, 6225, 2304, 20292, 6225, 45340, 25528, 15844, 3714, 2407, 11242, 45367, 2423, 10406, 8608, 2407, 16606, 25961, 2655, 5296, 20498, 36081, 6027, 49429, 32771, 13546, 5296, 20498, 36081, 6027, 1975, 1829, 9154, 16095, 23032, 3555, 3615, 995, 1975, 15730, 8717, 7435, 1829, 5296, 2655, 3615, 16572, 5172, 4972, 15845, 295, 257, 4599, 13672, 1829, 31439, 1975, 34740, 3541, 8978, 25124, 9640, 9566, 3660, 7123, 9154, 12174, 1211, 2655, 2423, 479, 295, 1783, 293, 2423, 460, 295, 1783], "avg_logprob": -0.31677827132599695, "compression_ratio": 1.4688995215311005, "no_speech_prob": 0.0, "words": [{"start": 2005.81, "end": 2006.43, "word": "هو", "probability": 0.7266845703125}, {"start": 2006.43, "end": 2007.41, "word": " تطبيق", "probability": 0.9696044921875}, {"start": 2007.41, "end": 2007.89, "word": " عملي", "probability": 0.8299153645833334}, {"start": 2007.89, "end": 2008.43, "word": " عالميا", "probability": 0.9430338541666666}, {"start": 2008.43, "end": 2009.05, "word": " على", "probability": 0.7705078125}, {"start": 2009.05, "end": 2009.59, "word": " موضوع", "probability": 0.953125}, {"start": 2009.59, "end": 2009.75, "word": " ال", "probability": 0.79296875}, {"start": 2009.75, "end": 2010.01, "word": " limits", "probability": 0.755859375}, {"start": 2010.01, "end": 2010.39, "word": " سواء", "probability": 0.89501953125}, {"start": 2010.39, "end": 2010.81, "word": " كانت", "probability": 0.853515625}, {"start": 2010.81, "end": 2011.37, "word": " لوميتال", "probability": 0.5235137939453125}, {"start": 2011.37, "end": 2012.01, "word": " ولا", "probability": 0.310302734375}, {"start": 2012.01, "end": 2012.69, "word": " غير", "probability": 0.990234375}, {"start": 2012.69, "end": 2013.27, "word": " لوميتال", "probability": 0.910400390625}, {"start": 2013.27, "end": 2013.61, "word": " اي", "probability": 0.49615478515625}, {"start": 2013.61, "end": 2014.49, "word": " منهم", "probability": 0.962646484375}, {"start": 2014.49, "end": 2015.49, "word": " طبعا", "probability": 0.8287353515625}, {"start": 2015.49, "end": 2016.35, "word": " اذا", "probability": 0.796142578125}, {"start": 2016.35, "end": 2017.49, "word": " نجي", "probability": 0.8541666666666666}, {"start": 2017.49, "end": 2019.51, "word": " لتعريف", "probability": 0.86943359375}, {"start": 2019.51, "end": 2020.05, "word": " relative", "probability": 0.52294921875}, {"start": 2020.05, "end": 2021.21, "word": " radius", "probability": 0.305908203125}, {"start": 2021.21, "end": 2021.51, "word": " of", "probability": 0.9189453125}, {"start": 2021.51, "end": 2021.65, "word": " a", "probability": 0.86083984375}, {"start": 2021.65, "end": 2021.99, "word": " growth", "probability": 0.40283203125}, {"start": 2021.99, "end": 2022.19, "word": " اللي", "probability": 0.77685546875}, {"start": 2022.19, "end": 2022.33, "word": " هو", "probability": 0.951171875}, {"start": 2022.33, "end": 2022.67, "word": " اخر", "probability": 0.859130859375}, {"start": 2022.67, "end": 2023.11, "word": " section", "probability": 0.64404296875}, {"start": 2023.11, "end": 2023.33, "word": " في", "probability": 0.83056640625}, {"start": 2023.33, "end": 2023.95, "word": " الشارطة", "probability": 0.73358154296875}, {"start": 2023.95, "end": 2024.63, "word": " definition", "probability": 0.27197265625}, {"start": 2024.63, "end": 2028.71, "word": " من", "probability": 0.2578125}, {"start": 2028.71, "end": 2029.49, "word": " قلت", "probability": 0.645751953125}, {"start": 2029.49, "end": 2030.15, "word": " ال", "probability": 0.454345703125}, {"start": 2030.15, "end": 2030.37, "word": " F", "probability": 0.521484375}, {"start": 2030.37, "end": 2030.67, "word": " of", "probability": 0.6669921875}, {"start": 2030.67, "end": 2031.03, "word": " X", "probability": 0.96923828125}, {"start": 2031.03, "end": 2032.29, "word": " and", "probability": 0.85205078125}, {"start": 2032.29, "end": 2033.43, "word": " ال", "probability": 0.7724609375}, {"start": 2033.43, "end": 2033.67, "word": " G", "probability": 0.880859375}, {"start": 2033.67, "end": 2034.13, "word": " of", "probability": 0.9716796875}, {"start": 2034.13, "end": 2034.63, "word": " X", "probability": 0.9970703125}], "temperature": 1.0}, {"id": 87, "seek": 206404, "start": 2052.88, "end": 2064.04, "text": "الحالة التالتة والاخيرة ال F and ال G اجراء at the same rate", "tokens": [6027, 5016, 6027, 3660, 16712, 6027, 2655, 3660, 16070, 47283, 48923, 2423, 479, 293, 2423, 460, 1975, 7435, 2288, 16606, 412, 264, 912, 3314], "avg_logprob": -0.3525, "compression_ratio": 1.2162162162162162, "no_speech_prob": 0.0, "words": [{"start": 2052.88, "end": 2054.28, "word": "الحالة", "probability": 0.685028076171875}, {"start": 2054.28, "end": 2054.84, "word": " التالتة", "probability": 0.9334716796875}, {"start": 2054.84, "end": 2056.0, "word": " والاخيرة", "probability": 0.7649739583333334}, {"start": 2056.0, "end": 2056.7, "word": " ال", "probability": 0.7041015625}, {"start": 2056.7, "end": 2057.22, "word": " F", "probability": 0.4384765625}, {"start": 2057.22, "end": 2058.28, "word": " and", "probability": 0.833984375}, {"start": 2058.28, "end": 2059.24, "word": " ال", "probability": 0.40625}, {"start": 2059.24, "end": 2059.56, "word": " G", "probability": 0.80078125}, {"start": 2059.56, "end": 2061.0, "word": " اجراء", "probability": 0.6573486328125}, {"start": 2061.0, "end": 2061.88, "word": " at", "probability": 0.85791015625}, {"start": 2061.88, "end": 2062.62, "word": " the", "probability": 0.919921875}, {"start": 2062.62, "end": 2063.54, "word": " same", "probability": 0.91552734375}, {"start": 2063.54, "end": 2064.04, "word": " rate", "probability": 0.97119140625}], "temperature": 1.0}, {"id": 88, "seek": 209183, "start": 2065.49, "end": 2091.83, "text": "بنفس المعدل as X tends to infinity if limit ال F of X على ال G of X لما ال X بده يروح الى infinity بده يساوي ال L و ال L محصورة بين ال zero و ما بين ال infinity example", "tokens": [3555, 1863, 36178, 9673, 22488, 1211, 382, 1783, 12258, 281, 13202, 498, 4948, 2423, 479, 295, 1783, 15844, 2423, 460, 295, 1783, 5296, 15042, 2423, 1783, 47525, 3224, 7251, 32887, 5016, 2423, 7578, 13202, 47525, 3224, 7251, 3794, 995, 45865, 2423, 441, 4032, 2423, 441, 3714, 5016, 9381, 13063, 3660, 49374, 2423, 4018, 4032, 19446, 49374, 2423, 13202, 1365], "avg_logprob": -0.22526042386889458, "compression_ratio": 1.5064935064935066, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2065.49, "end": 2066.47, "word": "بنفس", "probability": 0.9625651041666666}, {"start": 2066.47, "end": 2067.45, "word": " المعدل", "probability": 0.96435546875}, {"start": 2067.45, "end": 2068.61, "word": " as", "probability": 0.432861328125}, {"start": 2068.61, "end": 2069.53, "word": " X", "probability": 0.375244140625}, {"start": 2069.53, "end": 2069.99, "word": " tends", "probability": 0.75}, {"start": 2069.99, "end": 2070.27, "word": " to", "probability": 0.92138671875}, {"start": 2070.27, "end": 2071.11, "word": " infinity", "probability": 0.8193359375}, {"start": 2071.11, "end": 2071.75, "word": " if", "probability": 0.736328125}, {"start": 2071.75, "end": 2073.11, "word": " limit", "probability": 0.9228515625}, {"start": 2073.11, "end": 2073.85, "word": " ال", "probability": 0.1905517578125}, {"start": 2073.85, "end": 2074.29, "word": " F", "probability": 0.76611328125}, {"start": 2074.29, "end": 2074.77, "word": " of", "probability": 0.8203125}, {"start": 2074.77, "end": 2075.37, "word": " X", "probability": 0.98828125}, {"start": 2075.37, "end": 2077.23, "word": " على", "probability": 0.650390625}, {"start": 2077.23, "end": 2078.05, "word": " ال", "probability": 0.857421875}, {"start": 2078.05, "end": 2078.27, "word": " G", "probability": 0.908203125}, {"start": 2078.27, "end": 2078.81, "word": " of", "probability": 0.95458984375}, {"start": 2078.81, "end": 2079.31, "word": " X", "probability": 0.99609375}, {"start": 2079.31, "end": 2080.23, "word": " لما", "probability": 0.87841796875}, {"start": 2080.23, "end": 2080.43, "word": " ال", "probability": 0.73095703125}, {"start": 2080.43, "end": 2080.77, "word": " X", "probability": 0.9814453125}, {"start": 2080.77, "end": 2081.21, "word": " بده", "probability": 0.612060546875}, {"start": 2081.21, "end": 2081.53, "word": " يروح", "probability": 0.9874674479166666}, {"start": 2081.53, "end": 2081.85, "word": " الى", "probability": 0.69677734375}, {"start": 2081.85, "end": 2082.53, "word": " infinity", "probability": 0.69189453125}, {"start": 2082.53, "end": 2083.51, "word": " بده", "probability": 0.865478515625}, {"start": 2083.51, "end": 2083.91, "word": " يساوي", "probability": 0.9375}, {"start": 2083.91, "end": 2084.11, "word": " ال", "probability": 0.91162109375}, {"start": 2084.11, "end": 2084.45, "word": " L", "probability": 0.8828125}, {"start": 2084.45, "end": 2085.03, "word": " و", "probability": 0.515625}, {"start": 2085.03, "end": 2085.25, "word": " ال", "probability": 0.53759765625}, {"start": 2085.25, "end": 2085.55, "word": " L", "probability": 0.97412109375}, {"start": 2085.55, "end": 2086.35, "word": " محصورة", "probability": 0.963671875}, {"start": 2086.35, "end": 2086.59, "word": " بين", "probability": 0.9814453125}, {"start": 2086.59, "end": 2086.79, "word": " ال", "probability": 0.94384765625}, {"start": 2086.79, "end": 2087.19, "word": " zero", "probability": 0.4365234375}, {"start": 2087.19, "end": 2087.71, "word": " و", "probability": 0.4248046875}, {"start": 2087.71, "end": 2087.83, "word": " ما", "probability": 0.52978515625}, {"start": 2087.83, "end": 2088.17, "word": " بين", "probability": 0.99072265625}, {"start": 2088.17, "end": 2088.41, "word": " ال", "probability": 0.9814453125}, {"start": 2088.41, "end": 2089.11, "word": " infinity", "probability": 0.88623046875}, {"start": 2089.11, "end": 2091.83, "word": " example", "probability": 0.74853515625}], "temperature": 1.0}, {"id": 89, "seek": 211771, "start": 2096.63, "end": 2117.71, "text": "discuss the growth of the following pairs of functions", "tokens": [13731, 2169, 264, 4599, 295, 264, 3480, 15494, 295, 6828], "avg_logprob": -0.3678977218541232, "compression_ratio": 0.9818181818181818, "no_speech_prob": 0.0, "words": [{"start": 2096.6299999999997, "end": 2098.0299999999997, "word": "discuss", "probability": 0.56573486328125}, {"start": 2098.0299999999997, "end": 2099.43, "word": " the", "probability": 0.89208984375}, {"start": 2099.43, "end": 2100.13, "word": " growth", "probability": 0.9599609375}, {"start": 2100.13, "end": 2103.57, "word": " of", "probability": 0.97998046875}, {"start": 2103.57, "end": 2105.43, "word": " the", "probability": 0.91796875}, {"start": 2105.43, "end": 2107.43, "word": " following", "probability": 0.8349609375}, {"start": 2107.43, "end": 2110.45, "word": " pairs", "probability": 0.83056640625}, {"start": 2110.45, "end": 2116.25, "word": " of", "probability": 0.97998046875}, {"start": 2116.25, "end": 2117.71, "word": " functions", "probability": 0.8818359375}], "temperature": 1.0}, {"id": 90, "seek": 212796, "start": 2122.22, "end": 2127.96, "text": "بناخد تلاتة و ستة و ليهو ستة مثلا", "tokens": [3555, 1863, 47283, 3215, 6055, 1211, 9307, 3660, 4032, 8608, 2655, 3660, 4032, 32239, 3224, 2407, 8608, 2655, 3660, 50113, 15040], "avg_logprob": -0.4286221455443989, "compression_ratio": 1.1568627450980393, "no_speech_prob": 0.0, "words": [{"start": 2122.22, "end": 2123.18, "word": "بناخد", "probability": 0.6591796875}, {"start": 2123.18, "end": 2123.92, "word": " تلاتة", "probability": 0.760467529296875}, {"start": 2123.92, "end": 2124.1, "word": " و", "probability": 0.74658203125}, {"start": 2124.1, "end": 2124.66, "word": " ستة", "probability": 0.716796875}, {"start": 2124.66, "end": 2125.74, "word": " و", "probability": 0.66455078125}, {"start": 2125.74, "end": 2126.78, "word": " ليهو", "probability": 0.556640625}, {"start": 2126.78, "end": 2127.26, "word": " ستة", "probability": 0.7848307291666666}, {"start": 2127.26, "end": 2127.96, "word": " مثلا", "probability": 0.916748046875}], "temperature": 1.0}, {"id": 91, "seek": 218646, "start": 2171.14, "end": 2186.46, "text": "بنرجع لماين للكلام اللي أشارنا إليه قبل قليل قبل أن نكتب اللي هو relative risk of growth بدنا نعمل مقارنة بين سلوك دالتين بين تطور دالتين بين نمو دالتين", "tokens": [3555, 1863, 47341, 3615, 5296, 15042, 9957, 24976, 28820, 10943, 13672, 1829, 5551, 8592, 9640, 8315, 11933, 20292, 3224, 12174, 36150, 12174, 20292, 1211, 12174, 36150, 14739, 8717, 4117, 2655, 3555, 13672, 1829, 31439, 4972, 3148, 295, 4599, 47525, 8315, 8717, 25957, 1211, 3714, 4587, 9640, 1863, 3660, 49374, 8608, 1211, 2407, 4117, 11778, 6027, 2655, 9957, 49374, 6055, 9566, 13063, 11778, 6027, 2655, 9957, 49374, 8717, 2304, 2407, 11778, 6027, 2655, 9957], "avg_logprob": -0.2721705988452241, "compression_ratio": 1.5900621118012421, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2171.14, "end": 2171.94, "word": "بنرجع", "probability": 0.468017578125}, {"start": 2171.94, "end": 2172.4, "word": " لماين", "probability": 0.5030110677083334}, {"start": 2172.4, "end": 2173.24, "word": " للكلام", "probability": 0.734619140625}, {"start": 2173.24, "end": 2173.42, "word": " اللي", "probability": 0.6973876953125}, {"start": 2173.42, "end": 2173.98, "word": " أشارنا", "probability": 0.7154541015625}, {"start": 2173.98, "end": 2174.46, "word": " إليه", "probability": 0.74365234375}, {"start": 2174.46, "end": 2174.88, "word": " قبل", "probability": 0.98681640625}, {"start": 2174.88, "end": 2175.44, "word": " قليل", "probability": 0.9851888020833334}, {"start": 2175.44, "end": 2175.8, "word": " قبل", "probability": 0.973388671875}, {"start": 2175.8, "end": 2176.04, "word": " أن", "probability": 0.5185546875}, {"start": 2176.04, "end": 2176.48, "word": " نكتب", "probability": 0.9927978515625}, {"start": 2176.48, "end": 2177.28, "word": " اللي", "probability": 0.52362060546875}, {"start": 2177.28, "end": 2177.46, "word": " هو", "probability": 0.36376953125}, {"start": 2177.46, "end": 2177.78, "word": " relative", "probability": 0.87158203125}, {"start": 2177.78, "end": 2178.24, "word": " risk", "probability": 0.42138671875}, {"start": 2178.24, "end": 2178.52, "word": " of", "probability": 0.73779296875}, {"start": 2178.52, "end": 2179.12, "word": " growth", "probability": 0.830078125}, {"start": 2179.12, "end": 2179.68, "word": " بدنا", "probability": 0.752685546875}, {"start": 2179.68, "end": 2180.2, "word": " نعمل", "probability": 0.9954427083333334}, {"start": 2180.2, "end": 2181.36, "word": " مقارنة", "probability": 0.991015625}, {"start": 2181.36, "end": 2181.86, "word": " بين", "probability": 0.94775390625}, {"start": 2181.86, "end": 2182.46, "word": " سلوك", "probability": 0.964599609375}, {"start": 2182.46, "end": 2183.16, "word": " دالتين", "probability": 0.896728515625}, {"start": 2183.16, "end": 2183.46, "word": " بين", "probability": 0.58935546875}, {"start": 2183.46, "end": 2184.1, "word": " تطور", "probability": 0.9728190104166666}, {"start": 2184.1, "end": 2184.86, "word": " دالتين", "probability": 0.99658203125}, {"start": 2184.86, "end": 2185.16, "word": " بين", "probability": 0.9091796875}, {"start": 2185.16, "end": 2185.58, "word": " نمو", "probability": 0.8904622395833334}, {"start": 2185.58, "end": 2186.46, "word": " دالتين", "probability": 0.9971923828125}], "temperature": 1.0}, {"id": 92, "seek": 220741, "start": 2187.71, "end": 2207.41, "text": "بعد ذلك يمكننا أن نفترض أن F of X والـG of X الاتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتن", "tokens": [3555, 22488, 29910, 23275, 7251, 43020, 8315, 14739, 8717, 5172, 2655, 43042, 14739, 479, 295, 1783, 16070, 39184, 38, 295, 1783, 2423, 9307, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 1975, 2655, 1863], "avg_logprob": -0.1656944465637207, "compression_ratio": 7.159090909090909, "no_speech_prob": 0.0, "words": [{"start": 2187.71, "end": 2188.19, "word": "بعد", "probability": 0.3365478515625}, {"start": 2188.19, "end": 2188.25, "word": " ذلك", "probability": 0.65966796875}, {"start": 2188.25, "end": 2188.55, "word": " يمكننا", "probability": 0.64306640625}, {"start": 2188.55, "end": 2188.65, "word": " أن", "probability": 0.31982421875}, {"start": 2188.65, "end": 2188.93, "word": " نفترض", "probability": 0.78155517578125}, {"start": 2188.93, "end": 2189.19, "word": " أن", "probability": 0.59619140625}, {"start": 2189.19, "end": 2189.81, "word": " F", "probability": 0.1641845703125}, {"start": 2189.81, "end": 2190.03, "word": " of", "probability": 0.1390380859375}, {"start": 2190.03, "end": 2190.27, "word": " X", "probability": 0.9638671875}, {"start": 2190.27, "end": 2190.81, "word": " والـG", "probability": 0.5465494791666666}, {"start": 2190.81, "end": 2191.05, "word": " of", "probability": 0.90380859375}, {"start": 2191.05, "end": 2191.35, "word": " X", "probability": 0.9892578125}, {"start": 2191.35, "end": 2191.85, "word": " الاتنين", "probability": 0.44915771484375}, {"start": 2191.85, "end": 2192.09, "word": " اتنين", "probability": 0.6778717041015625}, {"start": 2192.09, "end": 2192.43, "word": " اتنين", "probability": 0.567138671875}, {"start": 2192.43, "end": 2192.75, "word": " اتنين", "probability": 0.611602783203125}, {"start": 2192.75, "end": 2193.61, "word": " اتنين", "probability": 0.758453369140625}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.8135986328125}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.853271484375}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.8839111328125}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.900634765625}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.9107666015625}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.9185791015625}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.922607421875}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.9263916015625}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.931640625}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.9351806640625}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.9373779296875}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.9407958984375}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.94580078125}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.950439453125}, {"start": 2193.61, "end": 2193.61, "word": " اتنين", "probability": 0.953857421875}, {"start": 2193.61, "end": 2194.31, "word": " اتنين", "probability": 0.95751953125}, {"start": 2194.31, "end": 2194.39, "word": " اتنين", "probability": 0.9609375}, {"start": 2194.39, "end": 2194.39, "word": " اتنين", "probability": 0.96337890625}, {"start": 2194.39, "end": 2194.59, "word": " اتنين", "probability": 0.96630859375}, {"start": 2194.59, "end": 2194.59, "word": " اتنين", "probability": 0.96875}, {"start": 2194.59, "end": 2194.63, "word": " اتنين", "probability": 0.9703369140625}, {"start": 2194.63, "end": 2194.63, "word": " اتنين", "probability": 0.9732666015625}, {"start": 2194.63, "end": 2194.65, "word": " اتنين", "probability": 0.97509765625}, {"start": 2194.65, "end": 2195.21, "word": " اتنين", "probability": 0.977783203125}, {"start": 2195.21, "end": 2195.21, "word": " اتنين", "probability": 0.9791259765625}, {"start": 2195.21, "end": 2195.21, "word": " اتنين", "probability": 0.980224609375}, {"start": 2195.21, "end": 2195.21, "word": " اتنين", "probability": 0.9815673828125}, {"start": 2195.21, "end": 2195.41, "word": " اتنين", "probability": 0.982666015625}, {"start": 2195.41, "end": 2195.41, "word": " اتنين", "probability": 0.9837646484375}, {"start": 2195.41, "end": 2195.41, "word": " اتنين", "probability": 0.98486328125}, {"start": 2195.41, "end": 2195.63, "word": " اتنين", "probability": 0.9854736328125}, {"start": 2195.63, "end": 2195.65, "word": " اتنين", "probability": 0.9862060546875}, {"start": 2195.65, "end": 2196.37, "word": " اتنين", "probability": 0.9871826171875}, {"start": 2196.37, "end": 2196.81, "word": " اتنين", "probability": 0.98779296875}, {"start": 2196.81, "end": 2196.81, "word": " اتنين", "probability": 0.988525390625}, {"start": 2196.81, "end": 2197.51, "word": " اتنين", "probability": 0.9888916015625}, {"start": 2197.51, "end": 2197.51, "word": " اتنين", "probability": 0.9891357421875}, {"start": 2197.51, "end": 2197.51, "word": " اتنين", "probability": 0.98974609375}, {"start": 2197.51, "end": 2197.51, "word": " اتنين", "probability": 0.9901123046875}, {"start": 2197.51, "end": 2197.55, "word": " اتنين", "probability": 0.9903564453125}, {"start": 2197.55, "end": 2198.49, "word": " اتنين", "probability": 0.9908447265625}, {"start": 2198.49, "end": 2200.25, "word": " اتنين", "probability": 0.9912109375}, {"start": 2200.25, "end": 2201.17, "word": " اتنين", "probability": 0.9913330078125}, {"start": 2201.17, "end": 2203.15, "word": " اتنين", "probability": 0.9913330078125}, {"start": 2203.15, "end": 2204.33, "word": " اتنين", "probability": 0.99169921875}, {"start": 2204.33, "end": 2207.41, "word": " اتن", "probability": 0.9886067708333334}], "temperature": 1.0}, {"id": 93, "seek": 222192, "start": 2208.63, "end": 2221.93, "text": "الـ F بتكون دائما وابدا في نموها أسرع من G لما ال X بده تروح لما لا نهاية إذا كان limit ال F of X على G of X لما ال X بتروح لما لا نهاية بده يساوي ما لا نهاية", "tokens": [6027, 39184, 479, 39894, 30544, 11778, 16373, 15042, 4032, 16758, 28259, 8978, 8717, 2304, 2407, 11296, 5551, 3794, 2288, 3615, 9154, 460, 5296, 15042, 2423, 1783, 47525, 3224, 6055, 32887, 5016, 5296, 15042, 20193, 8717, 11296, 10632, 11933, 15730, 25961, 4948, 2423, 479, 295, 1783, 15844, 460, 295, 1783, 5296, 15042, 2423, 1783, 39894, 32887, 5016, 5296, 15042, 20193, 8717, 11296, 10632, 47525, 3224, 7251, 3794, 995, 45865, 19446, 20193, 8717, 11296, 10632], "avg_logprob": -0.24049830476979953, "compression_ratio": 1.7266666666666666, "no_speech_prob": 0.0, "words": [{"start": 2208.63, "end": 2209.23, "word": "الـ", "probability": 0.4051513671875}, {"start": 2209.23, "end": 2209.37, "word": " F", "probability": 0.50927734375}, {"start": 2209.37, "end": 2209.87, "word": " بتكون", "probability": 0.6292724609375}, {"start": 2209.87, "end": 2210.33, "word": " دائما", "probability": 0.8681640625}, {"start": 2210.33, "end": 2210.89, "word": " وابدا", "probability": 0.77392578125}, {"start": 2210.89, "end": 2211.11, "word": " في", "probability": 0.791015625}, {"start": 2211.11, "end": 2211.59, "word": " نموها", "probability": 0.960693359375}, {"start": 2211.59, "end": 2212.27, "word": " أسرع", "probability": 0.915283203125}, {"start": 2212.27, "end": 2212.43, "word": " من", "probability": 0.98974609375}, {"start": 2212.43, "end": 2212.65, "word": " G", "probability": 0.79345703125}, {"start": 2212.65, "end": 2212.97, "word": " لما", "probability": 0.80078125}, {"start": 2212.97, "end": 2213.07, "word": " ال", "probability": 0.853515625}, {"start": 2213.07, "end": 2213.33, "word": " X", "probability": 0.810546875}, {"start": 2213.33, "end": 2213.65, "word": " بده", "probability": 0.478515625}, {"start": 2213.65, "end": 2213.97, "word": " تروح", "probability": 0.8455403645833334}, {"start": 2213.97, "end": 2214.39, "word": " لما", "probability": 0.560546875}, {"start": 2214.39, "end": 2214.53, "word": " لا", "probability": 0.91796875}, {"start": 2214.53, "end": 2215.13, "word": " نهاية", "probability": 0.9138997395833334}, {"start": 2215.13, "end": 2215.87, "word": " إذا", "probability": 0.7578125}, {"start": 2215.87, "end": 2216.21, "word": " كان", "probability": 0.89404296875}, {"start": 2216.21, "end": 2216.57, "word": " limit", "probability": 0.54150390625}, {"start": 2216.57, "end": 2216.75, "word": " ال", "probability": 0.391845703125}, {"start": 2216.75, "end": 2216.97, "word": " F", "probability": 0.9423828125}, {"start": 2216.97, "end": 2217.17, "word": " of", "probability": 0.90283203125}, {"start": 2217.17, "end": 2217.41, "word": " X", "probability": 0.97802734375}, {"start": 2217.41, "end": 2217.63, "word": " على", "probability": 0.62939453125}, {"start": 2217.63, "end": 2217.87, "word": " G", "probability": 0.974609375}, {"start": 2217.87, "end": 2218.03, "word": " of", "probability": 0.9677734375}, {"start": 2218.03, "end": 2218.27, "word": " X", "probability": 0.99169921875}, {"start": 2218.27, "end": 2218.57, "word": " لما", "probability": 0.960693359375}, {"start": 2218.57, "end": 2218.63, "word": " ال", "probability": 0.88134765625}, {"start": 2218.63, "end": 2218.79, "word": " X", "probability": 0.93896484375}, {"start": 2218.79, "end": 2219.17, "word": " بتروح", "probability": 0.822021484375}, {"start": 2219.17, "end": 2219.45, "word": " لما", "probability": 0.941162109375}, {"start": 2219.45, "end": 2219.63, "word": " لا", "probability": 0.88134765625}, {"start": 2219.63, "end": 2219.89, "word": " نهاية", "probability": 0.9459635416666666}, {"start": 2219.89, "end": 2220.21, "word": " بده", "probability": 0.6656494140625}, {"start": 2220.21, "end": 2220.67, "word": " يساوي", "probability": 0.8612060546875}, {"start": 2220.67, "end": 2221.01, "word": " ما", "probability": 0.9169921875}, {"start": 2221.01, "end": 2221.33, "word": " لا", "probability": 0.94970703125}, {"start": 2221.33, "end": 2221.93, "word": " نهاية", "probability": 0.9537760416666666}], "temperature": 1.0}, {"id": 94, "seek": 224881, "start": 2222.57, "end": 2248.81, "text": "طب لو جلبتهم بيصير g of x على f of x بيستوي عدد على مالة نهائية ب zero تمام ولا لا؟ إذن النتيجة بتكون zero إذن العبرة بيهمنيش مين الدالة اللي في البسط ومين الدالة في المقام العبرة بماذا تكون النتيجة إذا النتيجة infinity بقولوا دالة البسط ت grow faster than دالة المقام as x tends to infinity", "tokens": [9566, 3555, 45164, 10874, 46152, 2655, 16095, 4724, 1829, 9381, 13546, 290, 295, 2031, 15844, 283, 295, 2031, 4724, 1829, 14851, 45865, 6225, 3215, 3215, 15844, 3714, 6027, 3660, 8717, 3224, 16373, 10632, 4724, 4018, 46811, 10943, 49429, 20193, 22807, 11933, 8848, 1863, 28239, 31371, 7435, 3660, 39894, 30544, 4018, 11933, 8848, 1863, 18863, 3555, 25720, 4724, 1829, 16095, 22653, 8592, 3714, 9957, 32748, 6027, 3660, 13672, 1829, 8978, 2423, 3555, 3794, 9566, 4032, 2304, 9957, 32748, 6027, 3660, 8978, 9673, 4587, 10943, 18863, 3555, 25720, 4724, 2304, 45636, 995, 6055, 30544, 28239, 31371, 7435, 3660, 11933, 15730, 28239, 31371, 7435, 3660, 13202, 4724, 39648, 14407, 11778, 6027, 3660, 29739, 3794, 9566, 6055, 1852, 4663, 813, 11778, 6027, 3660, 9673, 4587, 10943, 382, 2031, 12258, 281, 13202], "avg_logprob": -0.24072265974245965, "compression_ratio": 1.9221311475409837, "no_speech_prob": 0.0, "words": [{"start": 2222.57, "end": 2222.89, "word": "طب", "probability": 0.57000732421875}, {"start": 2222.89, "end": 2223.15, "word": " لو", "probability": 0.9560546875}, {"start": 2223.15, "end": 2224.09, "word": " جلبتهم", "probability": 0.8070068359375}, {"start": 2224.09, "end": 2225.23, "word": " بيصير", "probability": 0.7708740234375}, {"start": 2225.23, "end": 2225.57, "word": " g", "probability": 0.263427734375}, {"start": 2225.57, "end": 2225.83, "word": " of", "probability": 0.42822265625}, {"start": 2225.83, "end": 2226.17, "word": " x", "probability": 0.95703125}, {"start": 2226.17, "end": 2226.47, "word": " على", "probability": 0.5732421875}, {"start": 2226.47, "end": 2226.79, "word": " f", "probability": 0.951171875}, {"start": 2226.79, "end": 2227.03, "word": " of", "probability": 0.966796875}, {"start": 2227.03, "end": 2227.25, "word": " x", "probability": 0.986328125}, {"start": 2227.25, "end": 2227.91, "word": " بيستوي", "probability": 0.43841552734375}, {"start": 2227.91, "end": 2228.35, "word": " عدد", "probability": 0.916015625}, {"start": 2228.35, "end": 2228.55, "word": " على", "probability": 0.72705078125}, {"start": 2228.55, "end": 2228.95, "word": " مالة", "probability": 0.7443033854166666}, {"start": 2228.95, "end": 2229.43, "word": " نهائية", "probability": 0.7294921875}, {"start": 2229.43, "end": 2229.57, "word": " ب", "probability": 0.68408203125}, {"start": 2229.57, "end": 2229.93, "word": " zero", "probability": 0.26171875}, {"start": 2229.93, "end": 2230.67, "word": " تمام", "probability": 0.73291015625}, {"start": 2230.67, "end": 2230.81, "word": " ولا", "probability": 0.87548828125}, {"start": 2230.81, "end": 2231.47, "word": " لا؟", "probability": 0.7119140625}, {"start": 2231.47, "end": 2231.77, "word": " إذن", "probability": 0.6544596354166666}, {"start": 2231.77, "end": 2232.31, "word": " النتيجة", "probability": 0.966796875}, {"start": 2232.31, "end": 2232.87, "word": " بتكون", "probability": 0.91943359375}, {"start": 2232.87, "end": 2233.23, "word": " zero", "probability": 0.68994140625}, {"start": 2233.23, "end": 2233.69, "word": " إذن", "probability": 0.7279459635416666}, {"start": 2233.69, "end": 2234.15, "word": " العبرة", "probability": 0.9534505208333334}, {"start": 2234.15, "end": 2234.87, "word": " بيهمنيش", "probability": 0.79208984375}, {"start": 2234.87, "end": 2235.11, "word": " مين", "probability": 0.8701171875}, {"start": 2235.11, "end": 2235.59, "word": " الدالة", "probability": 0.7291666666666666}, {"start": 2235.59, "end": 2235.67, "word": " اللي", "probability": 0.90478515625}, {"start": 2235.67, "end": 2235.77, "word": " في", "probability": 0.9013671875}, {"start": 2235.77, "end": 2236.13, "word": " البسط", "probability": 0.5789794921875}, {"start": 2236.13, "end": 2236.39, "word": " ومين", "probability": 0.90966796875}, {"start": 2236.39, "end": 2236.77, "word": " الدالة", "probability": 0.9677734375}, {"start": 2236.77, "end": 2236.89, "word": " في", "probability": 0.92138671875}, {"start": 2236.89, "end": 2237.43, "word": " المقام", "probability": 0.9905598958333334}, {"start": 2237.43, "end": 2238.43, "word": " العبرة", "probability": 0.95947265625}, {"start": 2238.43, "end": 2239.23, "word": " بماذا", "probability": 0.9317626953125}, {"start": 2239.23, "end": 2239.77, "word": " تكون", "probability": 0.98828125}, {"start": 2239.77, "end": 2240.57, "word": " النتيجة", "probability": 0.9818115234375}, {"start": 2240.57, "end": 2240.89, "word": " إذا", "probability": 0.908203125}, {"start": 2240.89, "end": 2241.41, "word": " النتيجة", "probability": 0.967041015625}, {"start": 2241.41, "end": 2241.99, "word": " infinity", "probability": 0.80810546875}, {"start": 2241.99, "end": 2243.07, "word": " بقولوا", "probability": 0.7210286458333334}, {"start": 2243.07, "end": 2243.47, "word": " دالة", "probability": 0.86328125}, {"start": 2243.47, "end": 2243.93, "word": " البسط", "probability": 0.9674479166666666}, {"start": 2243.93, "end": 2244.07, "word": " ت", "probability": 0.5439453125}, {"start": 2244.07, "end": 2244.29, "word": " grow", "probability": 0.61865234375}, {"start": 2244.29, "end": 2245.03, "word": " faster", "probability": 0.90576171875}, {"start": 2245.03, "end": 2245.45, "word": " than", "probability": 0.9296875}, {"start": 2245.45, "end": 2245.97, "word": " دالة", "probability": 0.9453125}, {"start": 2245.97, "end": 2246.83, "word": " المقام", "probability": 0.9954427083333334}, {"start": 2246.83, "end": 2247.53, "word": " as", "probability": 0.9287109375}, {"start": 2247.53, "end": 2247.85, "word": " x", "probability": 0.91357421875}, {"start": 2247.85, "end": 2248.13, "word": " tends", "probability": 0.91455078125}, {"start": 2248.13, "end": 2248.31, "word": " to", "probability": 0.91943359375}, {"start": 2248.31, "end": 2248.81, "word": " infinity", "probability": 0.91650390625}], "temperature": 1.0}, {"id": 95, "seek": 227296, "start": 2249.38, "end": 2272.96, "text": "وإذا النتيجة تساوي Zero يبقى لدالة ال bus ت grow slower than أبطأ من دالة المقام as X tends to infinity طب جسمت التنتين على بعض وطلع الرقم يساوي L طلع رقم واحد ال L هذا محصور بين Zero و Infinity يعني أكبر من Zero وأقل من Infinity", "tokens": [2407, 28814, 15730, 28239, 31371, 7435, 3660, 6055, 3794, 995, 45865, 17182, 7251, 3555, 4587, 7578, 5296, 3215, 6027, 3660, 2423, 1255, 6055, 1852, 14009, 813, 5551, 3555, 9566, 10721, 9154, 11778, 6027, 3660, 9673, 4587, 10943, 382, 1783, 12258, 281, 13202, 23032, 3555, 10874, 38251, 2655, 16712, 29399, 9957, 15844, 45030, 11242, 4032, 9566, 1211, 3615, 34892, 4587, 2304, 7251, 3794, 995, 45865, 441, 23032, 1211, 3615, 12602, 4587, 2304, 36764, 24401, 2423, 441, 23758, 3714, 5016, 9381, 13063, 49374, 17182, 4032, 34762, 37495, 22653, 5551, 4117, 26890, 9154, 17182, 36725, 4587, 1211, 9154, 34762], "avg_logprob": -0.19684278842100164, "compression_ratio": 1.5585585585585586, "no_speech_prob": 0.0, "words": [{"start": 2249.38, "end": 2249.74, "word": "وإذا", "probability": 0.8372395833333334}, {"start": 2249.74, "end": 2250.34, "word": " النتيجة", "probability": 0.9205322265625}, {"start": 2250.34, "end": 2250.98, "word": " تساوي", "probability": 0.8909912109375}, {"start": 2250.98, "end": 2251.44, "word": " Zero", "probability": 0.294921875}, {"start": 2251.44, "end": 2252.18, "word": " يبقى", "probability": 0.9117431640625}, {"start": 2252.18, "end": 2252.86, "word": " لدالة", "probability": 0.79638671875}, {"start": 2252.86, "end": 2253.04, "word": " ال", "probability": 0.73681640625}, {"start": 2253.04, "end": 2253.28, "word": " bus", "probability": 0.10052490234375}, {"start": 2253.28, "end": 2253.46, "word": " ت", "probability": 0.263916015625}, {"start": 2253.46, "end": 2253.72, "word": " grow", "probability": 0.755859375}, {"start": 2253.72, "end": 2254.52, "word": " slower", "probability": 0.79736328125}, {"start": 2254.52, "end": 2255.18, "word": " than", "probability": 0.7255859375}, {"start": 2255.18, "end": 2255.96, "word": " أبطأ", "probability": 0.8917236328125}, {"start": 2255.96, "end": 2256.48, "word": " من", "probability": 0.9912109375}, {"start": 2256.48, "end": 2257.46, "word": " دالة", "probability": 0.9625651041666666}, {"start": 2257.46, "end": 2258.14, "word": " المقام", "probability": 0.9820963541666666}, {"start": 2258.14, "end": 2258.5, "word": " as", "probability": 0.82177734375}, {"start": 2258.5, "end": 2258.88, "word": " X", "probability": 0.6259765625}, {"start": 2258.88, "end": 2259.32, "word": " tends", "probability": 0.865234375}, {"start": 2259.32, "end": 2259.76, "word": " to", "probability": 0.931640625}, {"start": 2259.76, "end": 2260.48, "word": " infinity", "probability": 0.6103515625}, {"start": 2260.48, "end": 2261.3, "word": " طب", "probability": 0.6241455078125}, {"start": 2261.3, "end": 2261.8, "word": " جسمت", "probability": 0.8214518229166666}, {"start": 2261.8, "end": 2262.3, "word": " التنتين", "probability": 0.7560221354166666}, {"start": 2262.3, "end": 2262.52, "word": " على", "probability": 0.84814453125}, {"start": 2262.52, "end": 2262.9, "word": " بعض", "probability": 0.99072265625}, {"start": 2262.9, "end": 2263.4, "word": " وطلع", "probability": 0.93212890625}, {"start": 2263.4, "end": 2264.04, "word": " الرقم", "probability": 0.9807942708333334}, {"start": 2264.04, "end": 2265.02, "word": " يساوي", "probability": 0.965087890625}, {"start": 2265.02, "end": 2265.44, "word": " L", "probability": 0.75}, {"start": 2265.44, "end": 2265.9, "word": " طلع", "probability": 0.84716796875}, {"start": 2265.9, "end": 2266.34, "word": " رقم", "probability": 0.98583984375}, {"start": 2266.34, "end": 2266.92, "word": " واحد", "probability": 0.93505859375}, {"start": 2266.92, "end": 2267.44, "word": " ال", "probability": 0.8291015625}, {"start": 2267.44, "end": 2267.7, "word": " L", "probability": 0.92431640625}, {"start": 2267.7, "end": 2268.16, "word": " هذا", "probability": 0.7998046875}, {"start": 2268.16, "end": 2268.9, "word": " محصور", "probability": 0.9451904296875}, {"start": 2268.9, "end": 2269.1, "word": " بين", "probability": 0.91845703125}, {"start": 2269.1, "end": 2269.44, "word": " Zero", "probability": 0.85888671875}, {"start": 2269.44, "end": 2269.76, "word": " و", "probability": 0.95068359375}, {"start": 2269.76, "end": 2269.76, "word": " Infinity", "probability": 0.2626953125}, {"start": 2269.76, "end": 2270.12, "word": " يعني", "probability": 0.831787109375}, {"start": 2270.12, "end": 2270.62, "word": " أكبر", "probability": 0.9228515625}, {"start": 2270.62, "end": 2270.8, "word": " من", "probability": 0.98583984375}, {"start": 2270.8, "end": 2271.12, "word": " Zero", "probability": 0.9404296875}, {"start": 2271.12, "end": 2272.02, "word": " وأقل", "probability": 0.8187662760416666}, {"start": 2272.02, "end": 2272.42, "word": " من", "probability": 0.99560546875}, {"start": 2272.42, "end": 2272.96, "word": " Infinity", "probability": 0.86865234375}], "temperature": 1.0}, {"id": 96, "seek": 229265, "start": 2273.23, "end": 2292.65, "text": "إن شاء الله يكون تريليون يبقى في هذه الحالة بقول إن الدالة ال F والG grow at the same rate يعني زي ما شبهت الشباب تاوة الساعة قلنا اتنين بيوصلوا المسجد مع بعض يبقى في هذه الحالة بقول اتنين grow at the same rate as X tends to infinity", "tokens": [28814, 1863, 13412, 16606, 21984, 7251, 30544, 6055, 16572, 20292, 11536, 7251, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 4724, 39648, 36145, 32748, 6027, 3660, 2423, 479, 16070, 38, 1852, 412, 264, 912, 3314, 37495, 22653, 30767, 1829, 19446, 13412, 3555, 3224, 2655, 25124, 3555, 16758, 6055, 995, 2407, 3660, 21136, 995, 27884, 12174, 1211, 8315, 1975, 2655, 1863, 9957, 4724, 1829, 2407, 36520, 14407, 9673, 3794, 7435, 3215, 20449, 45030, 11242, 7251, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 4724, 39648, 1975, 2655, 1863, 9957, 1852, 412, 264, 912, 3314, 382, 1783, 12258, 281, 13202], "avg_logprob": -0.18229166455943174, "compression_ratio": 1.7416267942583732, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2273.23, "end": 2273.53, "word": "إن", "probability": 0.5208740234375}, {"start": 2273.53, "end": 2273.77, "word": " شاء", "probability": 0.96533203125}, {"start": 2273.77, "end": 2273.85, "word": " الله", "probability": 0.97119140625}, {"start": 2273.85, "end": 2274.11, "word": " يكون", "probability": 0.910400390625}, {"start": 2274.11, "end": 2274.77, "word": " تريليون", "probability": 0.8668212890625}, {"start": 2274.77, "end": 2275.63, "word": " يبقى", "probability": 0.7955322265625}, {"start": 2275.63, "end": 2275.71, "word": " في", "probability": 0.96533203125}, {"start": 2275.71, "end": 2275.99, "word": " هذه", "probability": 0.90087890625}, {"start": 2275.99, "end": 2276.43, "word": " الحالة", "probability": 0.9537760416666666}, {"start": 2276.43, "end": 2276.79, "word": " بقول", "probability": 0.80908203125}, {"start": 2276.79, "end": 2276.97, "word": " إن", "probability": 0.51708984375}, {"start": 2276.97, "end": 2277.49, "word": " الدالة", "probability": 0.7823893229166666}, {"start": 2277.49, "end": 2277.59, "word": " ال", "probability": 0.7080078125}, {"start": 2277.59, "end": 2277.87, "word": " F", "probability": 0.7041015625}, {"start": 2277.87, "end": 2278.63, "word": " والG", "probability": 0.5478515625}, {"start": 2278.63, "end": 2279.05, "word": " grow", "probability": 0.70849609375}, {"start": 2279.05, "end": 2279.77, "word": " at", "probability": 0.9404296875}, {"start": 2279.77, "end": 2279.99, "word": " the", "probability": 0.9365234375}, {"start": 2279.99, "end": 2280.35, "word": " same", "probability": 0.89990234375}, {"start": 2280.35, "end": 2280.71, "word": " rate", "probability": 0.97314453125}, {"start": 2280.71, "end": 2281.45, "word": " يعني", "probability": 0.83251953125}, {"start": 2281.45, "end": 2281.63, "word": " زي", "probability": 0.982421875}, {"start": 2281.63, "end": 2281.71, "word": " ما", "probability": 0.96533203125}, {"start": 2281.71, "end": 2282.21, "word": " شبهت", "probability": 0.9512939453125}, {"start": 2282.21, "end": 2282.67, "word": " الشباب", "probability": 0.9889322916666666}, {"start": 2282.67, "end": 2283.09, "word": " تاوة", "probability": 0.41650390625}, {"start": 2283.09, "end": 2283.53, "word": " الساعة", "probability": 0.8849283854166666}, {"start": 2283.53, "end": 2284.19, "word": " قلنا", "probability": 0.6273600260416666}, {"start": 2284.19, "end": 2284.53, "word": " اتنين", "probability": 0.8258056640625}, {"start": 2284.53, "end": 2285.05, "word": " بيوصلوا", "probability": 0.94736328125}, {"start": 2285.05, "end": 2285.55, "word": " المسجد", "probability": 0.9483642578125}, {"start": 2285.55, "end": 2285.79, "word": " مع", "probability": 0.99560546875}, {"start": 2285.79, "end": 2286.29, "word": " بعض", "probability": 0.99365234375}, {"start": 2286.29, "end": 2286.97, "word": " يبقى", "probability": 0.977294921875}, {"start": 2286.97, "end": 2287.09, "word": " في", "probability": 0.98291015625}, {"start": 2287.09, "end": 2287.33, "word": " هذه", "probability": 0.96533203125}, {"start": 2287.33, "end": 2287.73, "word": " الحالة", "probability": 0.9957682291666666}, {"start": 2287.73, "end": 2288.01, "word": " بقول", "probability": 0.960205078125}, {"start": 2288.01, "end": 2288.47, "word": " اتنين", "probability": 0.9610595703125}, {"start": 2288.47, "end": 2288.93, "word": " grow", "probability": 0.94384765625}, {"start": 2288.93, "end": 2289.53, "word": " at", "probability": 0.97607421875}, {"start": 2289.53, "end": 2289.79, "word": " the", "probability": 0.94140625}, {"start": 2289.79, "end": 2290.21, "word": " same", "probability": 0.904296875}, {"start": 2290.21, "end": 2290.63, "word": " rate", "probability": 0.96533203125}, {"start": 2290.63, "end": 2291.11, "word": " as", "probability": 0.94091796875}, {"start": 2291.11, "end": 2291.57, "word": " X", "probability": 0.85302734375}, {"start": 2291.57, "end": 2292.01, "word": " tends", "probability": 0.869140625}, {"start": 2292.01, "end": 2292.23, "word": " to", "probability": 0.94775390625}, {"start": 2292.23, "end": 2292.65, "word": " infinity", "probability": 0.82080078125}], "temperature": 1.0}, {"id": 97, "seek": 231209, "start": 2293.23, "end": 2312.09, "text": "الان بناروح نطبق اللي هو الكلام النظري هذا على مسائل مختلفة فجالي ناقش لسلوك كل زود من أزوادي الدوال التالية و روحنا أخدنا دالتين تلاتة و سكس و E أس X يبقى بقوله solution", "tokens": [6027, 7649, 4724, 8315, 32887, 5016, 8717, 9566, 3555, 4587, 13672, 1829, 31439, 2423, 28820, 10943, 28239, 19913, 16572, 23758, 15844, 47524, 16373, 1211, 3714, 46456, 46538, 3660, 6156, 7435, 6027, 1829, 8717, 995, 4587, 8592, 5296, 3794, 1211, 2407, 4117, 28242, 30767, 23328, 9154, 5551, 11622, 14407, 16254, 32748, 2407, 6027, 16712, 6027, 10632, 4032, 12602, 2407, 5016, 8315, 5551, 9778, 3215, 8315, 11778, 6027, 2655, 9957, 6055, 1211, 9307, 3660, 4032, 8608, 4117, 3794, 4032, 462, 5551, 3794, 1783, 7251, 3555, 4587, 7578, 4724, 39648, 3224, 3827], "avg_logprob": -0.2887152642011642, "compression_ratio": 1.6141304347826086, "no_speech_prob": 0.0, "words": [{"start": 2293.23, "end": 2293.85, "word": "الان", "probability": 0.733642578125}, {"start": 2293.85, "end": 2294.61, "word": " بناروح", "probability": 0.5950927734375}, {"start": 2294.61, "end": 2295.39, "word": " نطبق", "probability": 0.939208984375}, {"start": 2295.39, "end": 2295.79, "word": " اللي", "probability": 0.453369140625}, {"start": 2295.79, "end": 2295.87, "word": " هو", "probability": 0.919921875}, {"start": 2295.87, "end": 2296.31, "word": " الكلام", "probability": 0.9290364583333334}, {"start": 2296.31, "end": 2296.79, "word": " النظري", "probability": 0.7688802083333334}, {"start": 2296.79, "end": 2297.09, "word": " هذا", "probability": 0.20166015625}, {"start": 2297.09, "end": 2297.41, "word": " على", "probability": 0.80859375}, {"start": 2297.41, "end": 2298.15, "word": " مسائل", "probability": 0.8972981770833334}, {"start": 2298.15, "end": 2299.17, "word": " مختلفة", "probability": 0.9930419921875}, {"start": 2299.17, "end": 2299.87, "word": " فجالي", "probability": 0.719482421875}, {"start": 2299.87, "end": 2300.51, "word": " ناقش", "probability": 0.9056396484375}, {"start": 2300.51, "end": 2301.23, "word": " لسلوك", "probability": 0.90791015625}, {"start": 2301.23, "end": 2301.53, "word": " كل", "probability": 0.9619140625}, {"start": 2301.53, "end": 2301.97, "word": " زود", "probability": 0.59521484375}, {"start": 2301.97, "end": 2302.17, "word": " من", "probability": 0.98779296875}, {"start": 2302.17, "end": 2302.69, "word": " أزوادي", "probability": 0.790283203125}, {"start": 2302.69, "end": 2303.39, "word": " الدوال", "probability": 0.95556640625}, {"start": 2303.39, "end": 2304.35, "word": " التالية", "probability": 0.8720703125}, {"start": 2304.35, "end": 2304.83, "word": " و", "probability": 0.91259765625}, {"start": 2304.83, "end": 2305.15, "word": " روحنا", "probability": 0.72711181640625}, {"start": 2305.15, "end": 2305.57, "word": " أخدنا", "probability": 0.8878173828125}, {"start": 2305.57, "end": 2306.27, "word": " دالتين", "probability": 0.888916015625}, {"start": 2306.27, "end": 2307.13, "word": " تلاتة", "probability": 0.7537841796875}, {"start": 2307.13, "end": 2307.25, "word": " و", "probability": 0.587890625}, {"start": 2307.25, "end": 2307.79, "word": " سكس", "probability": 0.6191813151041666}, {"start": 2307.79, "end": 2308.03, "word": " و", "probability": 0.54443359375}, {"start": 2308.03, "end": 2308.59, "word": " E", "probability": 0.796875}, {"start": 2308.59, "end": 2309.23, "word": " أس", "probability": 0.26409912109375}, {"start": 2309.23, "end": 2309.69, "word": " X", "probability": 0.79638671875}, {"start": 2309.69, "end": 2310.59, "word": " يبقى", "probability": 0.8935546875}, {"start": 2310.59, "end": 2311.15, "word": " بقوله", "probability": 0.8230794270833334}, {"start": 2311.15, "end": 2312.09, "word": " solution", "probability": 0.85693359375}], "temperature": 1.0}, {"id": 98, "seek": 234081, "start": 2314.67, "end": 2340.81, "text": "بنى limit لما ال X tends to infinity تلاتة والسكس على ايه والسكس بهمنيش قولتك مين فى البصر ومين فى المقام اللى عبره بالنتيجة لو جيت عوّبت عويد مباشر بصير infinity على infinity قاعدة L'Hôpital ماشي قاعدة L'Hôpital بصير تلاتة والسكس لين تلاتة على ايه والسكس زى ما هى", "tokens": [3555, 1863, 7578, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 6055, 1211, 9307, 3660, 16070, 3794, 4117, 3794, 15844, 1975, 1829, 3224, 16070, 3794, 4117, 3794, 4724, 16095, 22653, 8592, 12174, 12610, 2655, 4117, 3714, 9957, 6156, 7578, 29739, 9381, 2288, 4032, 2304, 9957, 6156, 7578, 9673, 4587, 10943, 13672, 7578, 6225, 26890, 3224, 20666, 29399, 1829, 7435, 3660, 45164, 10874, 36081, 6225, 2407, 11703, 3555, 2655, 6225, 2407, 25708, 3714, 3555, 33599, 2288, 4724, 9381, 13546, 13202, 15844, 13202, 12174, 995, 22488, 3660, 441, 6, 39, 2851, 79, 1686, 3714, 33599, 1829, 12174, 995, 22488, 3660, 441, 6, 39, 2851, 79, 1686, 4724, 9381, 13546, 6055, 1211, 9307, 3660, 16070, 3794, 4117, 3794, 5296, 9957, 6055, 1211, 9307, 3660, 15844, 1975, 1829, 3224, 16070, 3794, 4117, 3794, 30767, 7578, 19446, 8032, 7578], "avg_logprob": -0.25694443340654727, "compression_ratio": 1.8893805309734513, "no_speech_prob": 0.0, "words": [{"start": 2314.67, "end": 2315.17, "word": "بنى", "probability": 0.3607584635416667}, {"start": 2315.17, "end": 2315.63, "word": " limit", "probability": 0.82470703125}, {"start": 2315.63, "end": 2316.87, "word": " لما", "probability": 0.874267578125}, {"start": 2316.87, "end": 2317.03, "word": " ال", "probability": 0.8720703125}, {"start": 2317.03, "end": 2317.25, "word": " X", "probability": 0.7275390625}, {"start": 2317.25, "end": 2317.69, "word": " tends", "probability": 0.6005859375}, {"start": 2317.69, "end": 2317.93, "word": " to", "probability": 0.9033203125}, {"start": 2317.93, "end": 2318.71, "word": " infinity", "probability": 0.78125}, {"start": 2318.71, "end": 2319.77, "word": " تلاتة", "probability": 0.84765625}, {"start": 2319.77, "end": 2320.43, "word": " والسكس", "probability": 0.7615966796875}, {"start": 2320.43, "end": 2320.81, "word": " على", "probability": 0.689453125}, {"start": 2320.81, "end": 2321.15, "word": " ايه", "probability": 0.7021484375}, {"start": 2321.15, "end": 2321.75, "word": " والسكس", "probability": 0.89892578125}, {"start": 2321.75, "end": 2322.63, "word": " بهمنيش", "probability": 0.63226318359375}, {"start": 2322.63, "end": 2323.07, "word": " قولتك", "probability": 0.64068603515625}, {"start": 2323.07, "end": 2323.23, "word": " مين", "probability": 0.934814453125}, {"start": 2323.23, "end": 2323.37, "word": " فى", "probability": 0.7548828125}, {"start": 2323.37, "end": 2323.73, "word": " البصر", "probability": 0.4884440104166667}, {"start": 2323.73, "end": 2323.93, "word": " ومين", "probability": 0.9130859375}, {"start": 2323.93, "end": 2324.03, "word": " فى", "probability": 0.9755859375}, {"start": 2324.03, "end": 2324.39, "word": " المقام", "probability": 0.8819986979166666}, {"start": 2324.39, "end": 2324.55, "word": " اللى", "probability": 0.95654296875}, {"start": 2324.55, "end": 2325.23, "word": " عبره", "probability": 0.7833658854166666}, {"start": 2325.23, "end": 2326.43, "word": " بالنتيجة", "probability": 0.90166015625}, {"start": 2326.43, "end": 2327.45, "word": " لو", "probability": 0.869140625}, {"start": 2327.45, "end": 2327.73, "word": " جيت", "probability": 0.6455078125}, {"start": 2327.73, "end": 2328.29, "word": " عوّبت", "probability": 0.65537109375}, {"start": 2328.29, "end": 2328.59, "word": " عويد", "probability": 0.89453125}, {"start": 2328.59, "end": 2329.19, "word": " مباشر", "probability": 0.994140625}, {"start": 2329.19, "end": 2329.59, "word": " بصير", "probability": 0.9737955729166666}, {"start": 2329.59, "end": 2330.17, "word": " infinity", "probability": 0.74365234375}, {"start": 2330.17, "end": 2330.87, "word": " على", "probability": 0.76171875}, {"start": 2330.87, "end": 2332.11, "word": " infinity", "probability": 0.7109375}, {"start": 2332.11, "end": 2334.07, "word": " قاعدة", "probability": 0.8968505859375}, {"start": 2334.07, "end": 2334.21, "word": " L", "probability": 0.1123046875}, {"start": 2334.21, "end": 2334.63, "word": "'Hôpital", "probability": 0.73779296875}, {"start": 2334.63, "end": 2335.93, "word": " ماشي", "probability": 0.6285807291666666}, {"start": 2335.93, "end": 2336.41, "word": " قاعدة", "probability": 0.9849853515625}, {"start": 2336.41, "end": 2336.55, "word": " L", "probability": 0.87841796875}, {"start": 2336.55, "end": 2336.81, "word": "'Hôpital", "probability": 0.9611328125}, {"start": 2336.81, "end": 2337.33, "word": " بصير", "probability": 0.9767252604166666}, {"start": 2337.33, "end": 2337.85, "word": " تلاتة", "probability": 0.986083984375}, {"start": 2337.85, "end": 2338.39, "word": " والسكس", "probability": 0.9862060546875}, {"start": 2338.39, "end": 2338.85, "word": " لين", "probability": 0.52099609375}, {"start": 2338.85, "end": 2339.37, "word": " تلاتة", "probability": 0.978759765625}, {"start": 2339.37, "end": 2339.57, "word": " على", "probability": 0.57080078125}, {"start": 2339.57, "end": 2339.77, "word": " ايه", "probability": 0.86083984375}, {"start": 2339.77, "end": 2340.17, "word": " والسكس", "probability": 0.860107421875}, {"start": 2340.17, "end": 2340.47, "word": " زى", "probability": 0.953857421875}, {"start": 2340.47, "end": 2340.63, "word": " ما", "probability": 0.83251953125}, {"start": 2340.63, "end": 2340.81, "word": " هى", "probability": 0.8076171875}], "temperature": 1.0}, {"id": 99, "seek": 236242, "start": 2357.19, "end": 2362.43, "text": "بنظرة فاحصة بسيطة جدا، بلاحظ ان القس اللى فوق هو القس اللى تحت", "tokens": [3555, 1863, 19913, 25720, 6156, 39319, 9381, 3660, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 12399, 4724, 15040, 5016, 19913, 16472, 25062, 3794, 13672, 7578, 6156, 30543, 31439, 25062, 3794, 13672, 7578, 6055, 33753], "avg_logprob": -0.42566963263920377, "compression_ratio": 1.3658536585365855, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2357.1899999999996, "end": 2357.95, "word": "بنظرة", "probability": 0.4453277587890625}, {"start": 2357.95, "end": 2358.57, "word": " فاحصة", "probability": 0.727783203125}, {"start": 2358.57, "end": 2359.11, "word": " بسيطة", "probability": 0.97431640625}, {"start": 2359.11, "end": 2359.57, "word": " جدا،", "probability": 0.611328125}, {"start": 2359.57, "end": 2359.95, "word": " بلاحظ", "probability": 0.6932373046875}, {"start": 2359.95, "end": 2360.23, "word": " ان", "probability": 0.38525390625}, {"start": 2360.23, "end": 2360.61, "word": " القس", "probability": 0.2662353515625}, {"start": 2360.61, "end": 2360.79, "word": " اللى", "probability": 0.4991455078125}, {"start": 2360.79, "end": 2361.11, "word": " فوق", "probability": 0.946044921875}, {"start": 2361.11, "end": 2361.27, "word": " هو", "probability": 0.9541015625}, {"start": 2361.27, "end": 2361.81, "word": " القس", "probability": 0.984619140625}, {"start": 2361.81, "end": 2362.13, "word": " اللى", "probability": 0.9833984375}, {"start": 2362.13, "end": 2362.43, "word": " تحت", "probability": 0.91162109375}], "temperature": 1.0}, {"id": 100, "seek": 237926, "start": 2362.92, "end": 2379.26, "text": "يبقى هذه بقدر اكتبها limit لما ال X tends to infinity ل3 على equal to the power X شكلها هنا السؤال هو المقدار بين القوسين", "tokens": [1829, 3555, 4587, 7578, 29538, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 5296, 18, 15844, 2681, 281, 264, 1347, 1783, 13412, 28820, 11296, 34105, 21136, 33604, 6027, 31439, 9673, 28543, 9640, 49374, 25062, 41779, 9957], "avg_logprob": -0.21562499470180935, "compression_ratio": 1.2587412587412588, "no_speech_prob": 0.0, "words": [{"start": 2362.92, "end": 2363.52, "word": "يبقى", "probability": 0.8563232421875}, {"start": 2363.52, "end": 2363.86, "word": " هذه", "probability": 0.79296875}, {"start": 2363.86, "end": 2364.44, "word": " بقدر", "probability": 0.85546875}, {"start": 2364.44, "end": 2365.28, "word": " اكتبها", "probability": 0.9359375}, {"start": 2365.28, "end": 2366.08, "word": " limit", "probability": 0.544921875}, {"start": 2366.08, "end": 2367.64, "word": " لما", "probability": 0.855712890625}, {"start": 2367.64, "end": 2367.82, "word": " ال", "probability": 0.67578125}, {"start": 2367.82, "end": 2368.12, "word": " X", "probability": 0.55859375}, {"start": 2368.12, "end": 2368.52, "word": " tends", "probability": 0.7294921875}, {"start": 2368.52, "end": 2368.78, "word": " to", "probability": 0.86083984375}, {"start": 2368.78, "end": 2369.5, "word": " infinity", "probability": 0.85595703125}, {"start": 2369.5, "end": 2370.78, "word": " ل3", "probability": 0.5975341796875}, {"start": 2370.78, "end": 2371.22, "word": " على", "probability": 0.75927734375}, {"start": 2371.22, "end": 2371.64, "word": " equal", "probability": 0.66455078125}, {"start": 2371.64, "end": 2372.2, "word": " to", "probability": 0.97314453125}, {"start": 2372.2, "end": 2372.46, "word": " the", "probability": 0.7783203125}, {"start": 2372.46, "end": 2372.94, "word": " power", "probability": 0.86181640625}, {"start": 2372.94, "end": 2373.54, "word": " X", "probability": 0.91943359375}, {"start": 2373.54, "end": 2374.64, "word": " شكلها", "probability": 0.6106770833333334}, {"start": 2374.64, "end": 2374.88, "word": " هنا", "probability": 0.7763671875}, {"start": 2374.88, "end": 2376.2, "word": " السؤال", "probability": 0.9456380208333334}, {"start": 2376.2, "end": 2376.46, "word": " هو", "probability": 0.95751953125}, {"start": 2376.46, "end": 2377.9, "word": " المقدار", "probability": 0.85400390625}, {"start": 2377.9, "end": 2378.28, "word": " بين", "probability": 0.99462890625}, {"start": 2378.28, "end": 2379.26, "word": " القوسين", "probability": 0.9505208333333334}], "temperature": 1.0}, {"id": 101, "seek": 240291, "start": 2380.05, "end": 2402.91, "text": "أصغر من الواحد الصحيح ولا أكبر؟ أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر، أكبر", "tokens": [10721, 9381, 17082, 2288, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 49429, 5551, 4117, 26890, 22807, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 5551, 4117, 26890], "avg_logprob": -0.05486110952165392, "compression_ratio": 8.708333333333334, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2380.05, "end": 2380.55, "word": "أصغر", "probability": 0.8936767578125}, {"start": 2380.55, "end": 2380.65, "word": " من", "probability": 0.97216796875}, {"start": 2380.65, "end": 2380.91, "word": " الواحد", "probability": 0.8279622395833334}, {"start": 2380.91, "end": 2381.31, "word": " الصحيح", "probability": 0.95166015625}, {"start": 2381.31, "end": 2381.51, "word": " ولا", "probability": 0.78125}, {"start": 2381.51, "end": 2382.13, "word": " أكبر؟", "probability": 0.91015625}, {"start": 2382.13, "end": 2383.13, "word": " أكبر،", "probability": 0.731475830078125}, {"start": 2383.13, "end": 2383.83, "word": " أكبر،", "probability": 0.67694091796875}, {"start": 2383.83, "end": 2383.93, "word": " أكبر،", "probability": 0.7913818359375}, {"start": 2383.93, "end": 2383.93, "word": " أكبر،", "probability": 0.8382568359375}, {"start": 2383.93, "end": 2383.93, "word": " أكبر،", "probability": 0.888427734375}, {"start": 2383.93, "end": 2383.93, "word": " أكبر،", "probability": 0.9228515625}, {"start": 2383.93, "end": 2383.93, "word": " أكبر،", "probability": 0.943115234375}, {"start": 2383.93, "end": 2383.93, "word": " أكبر،", "probability": 0.95361328125}, {"start": 2383.93, "end": 2383.93, "word": " أكبر،", "probability": 0.95947265625}, {"start": 2383.93, "end": 2383.99, "word": " أكبر،", "probability": 0.9630126953125}, {"start": 2383.99, "end": 2384.05, "word": " أكبر،", "probability": 0.9647216796875}, {"start": 2384.05, "end": 2384.19, "word": " أكبر،", "probability": 0.965087890625}, {"start": 2384.19, "end": 2384.23, "word": " أكبر،", "probability": 0.96484375}, {"start": 2384.23, "end": 2384.55, "word": " أكبر،", "probability": 0.966064453125}, {"start": 2384.55, "end": 2384.85, "word": " أكبر،", "probability": 0.9674072265625}, {"start": 2384.85, "end": 2385.59, "word": " أكبر،", "probability": 0.969482421875}, {"start": 2385.59, "end": 2385.81, "word": " أكبر،", "probability": 0.9713134765625}, {"start": 2385.81, "end": 2386.39, "word": " أكبر،", "probability": 0.973388671875}, {"start": 2386.39, "end": 2386.39, "word": " أكبر،", "probability": 0.9754638671875}, {"start": 2386.39, "end": 2388.01, "word": " أكبر،", "probability": 0.97705078125}, {"start": 2388.01, "end": 2388.15, "word": " أكبر،", "probability": 0.9779052734375}, {"start": 2388.15, "end": 2388.15, "word": " أكبر،", "probability": 0.9791259765625}, {"start": 2388.15, "end": 2388.43, "word": " أكبر،", "probability": 0.9796142578125}, {"start": 2388.43, "end": 2388.47, "word": " أكبر،", "probability": 0.98046875}, {"start": 2388.47, "end": 2388.47, "word": " أكبر،", "probability": 0.9808349609375}, {"start": 2388.47, "end": 2388.49, "word": " أكبر،", "probability": 0.981689453125}, {"start": 2388.49, "end": 2388.49, "word": " أكبر،", "probability": 0.9822998046875}, {"start": 2388.49, "end": 2388.73, "word": " أكبر،", "probability": 0.9830322265625}, {"start": 2388.73, "end": 2389.33, "word": " أكبر،", "probability": 0.9837646484375}, {"start": 2389.33, "end": 2390.13, "word": " أكبر،", "probability": 0.984130859375}, {"start": 2390.13, "end": 2390.73, "word": " أكبر،", "probability": 0.9849853515625}, {"start": 2390.73, "end": 2390.73, "word": " أكبر،", "probability": 0.985595703125}, {"start": 2390.73, "end": 2390.75, "word": " أكبر،", "probability": 0.9859619140625}, {"start": 2390.75, "end": 2390.75, "word": " أكبر،", "probability": 0.98681640625}, {"start": 2390.75, "end": 2390.79, "word": " أكبر،", "probability": 0.9874267578125}, {"start": 2390.79, "end": 2390.95, "word": " أكبر،", "probability": 0.9879150390625}, {"start": 2390.95, "end": 2391.01, "word": " أكبر،", "probability": 0.988525390625}, {"start": 2391.01, "end": 2391.35, "word": " أكبر،", "probability": 0.9886474609375}, {"start": 2391.35, "end": 2392.39, "word": " أكبر،", "probability": 0.9888916015625}, {"start": 2392.39, "end": 2392.45, "word": " أكبر،", "probability": 0.989013671875}, {"start": 2392.45, "end": 2392.47, "word": " أكبر،", "probability": 0.9892578125}, {"start": 2392.47, "end": 2392.47, "word": " أكبر،", "probability": 0.9892578125}, {"start": 2392.47, "end": 2392.47, "word": " أكبر،", "probability": 0.9893798828125}, {"start": 2392.47, "end": 2392.47, "word": " أكبر،", "probability": 0.9893798828125}, {"start": 2392.47, "end": 2392.81, "word": " أكبر،", "probability": 0.9892578125}, {"start": 2392.81, "end": 2392.81, "word": " أكبر،", "probability": 0.989501953125}, {"start": 2392.81, "end": 2393.59, "word": " أكبر،", "probability": 0.9892578125}, {"start": 2393.59, "end": 2393.71, "word": " أكبر،", "probability": 0.989013671875}, {"start": 2393.71, "end": 2394.47, "word": " أكبر،", "probability": 0.9891357421875}, {"start": 2394.47, "end": 2401.79, "word": " أكبر،", "probability": 0.98876953125}, {"start": 2401.79, "end": 2402.45, "word": " أكبر،", "probability": 0.9871826171875}, {"start": 2402.45, "end": 2402.91, "word": " أكبر", "probability": 0.9903971354166666}], "temperature": 1.0}, {"id": 102, "seek": 243194, "start": 2402.93, "end": 2431.95, "text": "لو كان ال bus أقل من المقام يبقى الكاسر أقل من واحد صحيح عندما يراد تربط كعب هو بيكبر ولا بيصغر؟ بيصغر بروح على وين؟ على ال zero يبقى يسوى infinity معنى هذا الكلام هو أن تلاتة X grow faster than U of X as X tends to infinity", "tokens": [1211, 2407, 25961, 2423, 1255, 5551, 4587, 1211, 9154, 9673, 4587, 10943, 7251, 3555, 4587, 7578, 33251, 32277, 2288, 5551, 4587, 1211, 9154, 36764, 24401, 20328, 5016, 1829, 5016, 43242, 15042, 7251, 2288, 18513, 6055, 25513, 9566, 9122, 3615, 3555, 31439, 4724, 1829, 4117, 26890, 49429, 4724, 1829, 9381, 17082, 2288, 22807, 4724, 1829, 9381, 17082, 2288, 4724, 32887, 5016, 15844, 4032, 9957, 22807, 15844, 2423, 4018, 7251, 3555, 4587, 7578, 7251, 3794, 2407, 7578, 13202, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 31439, 14739, 6055, 1211, 9307, 3660, 1783, 1852, 4663, 813, 624, 295, 1783, 382, 1783, 12258, 281, 13202], "avg_logprob": -0.3373161884499531, "compression_ratio": 1.6036866359447004, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2402.93, "end": 2403.47, "word": "لو", "probability": 0.729736328125}, {"start": 2403.47, "end": 2403.91, "word": " كان", "probability": 0.9794921875}, {"start": 2403.91, "end": 2404.17, "word": " ال", "probability": 0.85009765625}, {"start": 2404.17, "end": 2404.43, "word": " bus", "probability": 0.673828125}, {"start": 2404.43, "end": 2405.19, "word": " أقل", "probability": 0.8728841145833334}, {"start": 2405.19, "end": 2405.41, "word": " من", "probability": 0.96923828125}, {"start": 2405.41, "end": 2406.19, "word": " المقام", "probability": 0.95166015625}, {"start": 2406.19, "end": 2406.61, "word": " يبقى", "probability": 0.7484130859375}, {"start": 2406.61, "end": 2407.07, "word": " الكاسر", "probability": 0.6079915364583334}, {"start": 2407.07, "end": 2407.41, "word": " أقل", "probability": 0.9759114583333334}, {"start": 2407.41, "end": 2407.55, "word": " من", "probability": 0.9912109375}, {"start": 2407.55, "end": 2407.91, "word": " واحد", "probability": 0.822998046875}, {"start": 2407.91, "end": 2408.35, "word": " صحيح", "probability": 0.688720703125}, {"start": 2408.35, "end": 2409.03, "word": " عندما", "probability": 0.78662109375}, {"start": 2409.03, "end": 2409.39, "word": " يراد", "probability": 0.7560221354166666}, {"start": 2409.39, "end": 2409.83, "word": " تربط", "probability": 0.5611979166666666}, {"start": 2409.83, "end": 2410.27, "word": " كعب", "probability": 0.8567708333333334}, {"start": 2410.27, "end": 2410.33, "word": " هو", "probability": 0.110595703125}, {"start": 2410.33, "end": 2410.67, "word": " بيكبر", "probability": 0.9051513671875}, {"start": 2410.67, "end": 2410.81, "word": " ولا", "probability": 0.73681640625}, {"start": 2410.81, "end": 2411.57, "word": " بيصغر؟", "probability": 0.88720703125}, {"start": 2411.57, "end": 2412.41, "word": " بيصغر", "probability": 0.94140625}, {"start": 2412.41, "end": 2412.77, "word": " بروح", "probability": 0.82080078125}, {"start": 2412.77, "end": 2412.93, "word": " على", "probability": 0.291259765625}, {"start": 2412.93, "end": 2413.63, "word": " وين؟", "probability": 0.7594401041666666}, {"start": 2413.63, "end": 2414.11, "word": " على", "probability": 0.884765625}, {"start": 2414.11, "end": 2414.39, "word": " ال", "probability": 0.88916015625}, {"start": 2414.39, "end": 2414.75, "word": " zero", "probability": 0.52587890625}, {"start": 2414.75, "end": 2415.43, "word": " يبقى", "probability": 0.9490966796875}, {"start": 2415.43, "end": 2415.85, "word": " يسوى", "probability": 0.6622314453125}, {"start": 2415.85, "end": 2416.39, "word": " infinity", "probability": 0.57275390625}, {"start": 2416.39, "end": 2416.89, "word": " معنى", "probability": 0.6952311197916666}, {"start": 2416.89, "end": 2417.19, "word": " هذا", "probability": 0.978515625}, {"start": 2417.19, "end": 2418.03, "word": " الكلام", "probability": 0.9593098958333334}, {"start": 2418.03, "end": 2419.05, "word": " هو", "probability": 0.1878662109375}, {"start": 2419.05, "end": 2419.57, "word": " أن", "probability": 0.311767578125}, {"start": 2419.57, "end": 2420.51, "word": " تلاتة", "probability": 0.7838134765625}, {"start": 2420.51, "end": 2420.91, "word": " X", "probability": 0.2734375}, {"start": 2420.91, "end": 2421.47, "word": " grow", "probability": 0.161865234375}, {"start": 2421.47, "end": 2423.55, "word": " faster", "probability": 0.49072265625}, {"start": 2423.55, "end": 2425.07, "word": " than", "probability": 0.93505859375}, {"start": 2425.07, "end": 2429.11, "word": " U", "probability": 0.515625}, {"start": 2429.11, "end": 2429.41, "word": " of", "probability": 0.1317138671875}, {"start": 2429.41, "end": 2429.83, "word": " X", "probability": 0.99365234375}, {"start": 2429.83, "end": 2430.39, "word": " as", "probability": 0.80615234375}, {"start": 2430.39, "end": 2430.83, "word": " X", "probability": 0.99169921875}, {"start": 2430.83, "end": 2431.17, "word": " tends", "probability": 0.8564453125}, {"start": 2431.17, "end": 2431.39, "word": " to", "probability": 0.95361328125}, {"start": 2431.39, "end": 2431.95, "word": " infinity", "probability": 0.802734375}], "temperature": 1.0}, {"id": 103, "seek": 246242, "start": 2434.81, "end": 2462.43, "text": "بثالة رقم B بدنا لغرتم ال X للأساس عشرة والتانية مثلا X تربية يبقى بدنا نروح ناخد ال limit لهذا المقدار solution يبقى بدنا limit لما ال X tends to infinity لمين؟ للغرتم ال X للأساس عشرة على X تربية", "tokens": [3555, 12984, 6027, 3660, 12602, 4587, 2304, 363, 47525, 8315, 5296, 17082, 2288, 39237, 2423, 1783, 24976, 10721, 3794, 32277, 6225, 8592, 25720, 16070, 2655, 7649, 10632, 50113, 15040, 1783, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 32887, 5016, 8717, 47283, 3215, 2423, 4948, 46740, 15730, 9673, 28543, 9640, 3827, 7251, 3555, 4587, 7578, 47525, 8315, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 32767, 9957, 22807, 5296, 1211, 17082, 2288, 39237, 2423, 1783, 24976, 10721, 3794, 32277, 6225, 8592, 25720, 15844, 1783, 6055, 25513, 10632], "avg_logprob": -0.19253472420904372, "compression_ratio": 1.726775956284153, "no_speech_prob": 0.0, "words": [{"start": 2434.81, "end": 2435.39, "word": "بثالة", "probability": 0.6656494140625}, {"start": 2435.39, "end": 2435.95, "word": " رقم", "probability": 0.8912760416666666}, {"start": 2435.95, "end": 2437.29, "word": " B", "probability": 0.435546875}, {"start": 2437.29, "end": 2438.31, "word": " بدنا", "probability": 0.59735107421875}, {"start": 2438.31, "end": 2439.11, "word": " لغرتم", "probability": 0.5191650390625}, {"start": 2439.11, "end": 2439.39, "word": " ال", "probability": 0.7890625}, {"start": 2439.39, "end": 2439.75, "word": " X", "probability": 0.80712890625}, {"start": 2439.75, "end": 2440.75, "word": " للأساس", "probability": 0.943603515625}, {"start": 2440.75, "end": 2441.49, "word": " عشرة", "probability": 0.8221028645833334}, {"start": 2441.49, "end": 2442.71, "word": " والتانية", "probability": 0.8671875}, {"start": 2442.71, "end": 2443.27, "word": " مثلا", "probability": 0.97216796875}, {"start": 2443.27, "end": 2443.71, "word": " X", "probability": 0.9287109375}, {"start": 2443.71, "end": 2444.21, "word": " تربية", "probability": 0.7107747395833334}, {"start": 2444.21, "end": 2446.11, "word": " يبقى", "probability": 0.94677734375}, {"start": 2446.11, "end": 2446.43, "word": " بدنا", "probability": 0.95556640625}, {"start": 2446.43, "end": 2446.87, "word": " نروح", "probability": 0.9088541666666666}, {"start": 2446.87, "end": 2447.69, "word": " ناخد", "probability": 0.83935546875}, {"start": 2447.69, "end": 2447.91, "word": " ال", "probability": 0.6767578125}, {"start": 2447.91, "end": 2448.37, "word": " limit", "probability": 0.94580078125}, {"start": 2448.37, "end": 2449.21, "word": " لهذا", "probability": 0.9609375}, {"start": 2449.21, "end": 2450.39, "word": " المقدار", "probability": 0.9080403645833334}, {"start": 2450.39, "end": 2451.71, "word": " solution", "probability": 0.84375}, {"start": 2451.71, "end": 2452.91, "word": " يبقى", "probability": 0.978515625}, {"start": 2452.91, "end": 2453.29, "word": " بدنا", "probability": 0.974853515625}, {"start": 2453.29, "end": 2453.81, "word": " limit", "probability": 0.93994140625}, {"start": 2453.81, "end": 2454.49, "word": " لما", "probability": 0.905029296875}, {"start": 2454.49, "end": 2454.65, "word": " ال", "probability": 0.82763671875}, {"start": 2454.65, "end": 2454.95, "word": " X", "probability": 0.97314453125}, {"start": 2454.95, "end": 2455.29, "word": " tends", "probability": 0.74072265625}, {"start": 2455.29, "end": 2455.53, "word": " to", "probability": 0.89453125}, {"start": 2455.53, "end": 2456.25, "word": " infinity", "probability": 0.83251953125}, {"start": 2456.25, "end": 2457.55, "word": " لمين؟", "probability": 0.7268880208333334}, {"start": 2457.55, "end": 2458.37, "word": " للغرتم", "probability": 0.8806640625}, {"start": 2458.37, "end": 2458.69, "word": " ال", "probability": 0.455322265625}, {"start": 2458.69, "end": 2459.03, "word": " X", "probability": 0.99462890625}, {"start": 2459.03, "end": 2459.89, "word": " للأساس", "probability": 0.9766845703125}, {"start": 2459.89, "end": 2460.57, "word": " عشرة", "probability": 0.9462890625}, {"start": 2460.57, "end": 2461.49, "word": " على", "probability": 0.74755859375}, {"start": 2461.49, "end": 2461.87, "word": " X", "probability": 0.990234375}, {"start": 2461.87, "end": 2462.43, "word": " تربية", "probability": 0.9471028645833334}], "temperature": 1.0}, {"id": 104, "seek": 249071, "start": 2464.24, "end": 2490.72, "text": "يا ريت بلاش منه هذا ال .. جف اللي هي بس limit لما ال X tends to infinity اللي واحد على X لن العشرة على من؟ على اتنين X او ان شئتم فقولوا limit لما ال X tends to infinity لواحد على اتنين X تربيع لن العشرة", "tokens": [25528, 12602, 36081, 4724, 1211, 33599, 9154, 3224, 23758, 2423, 4386, 10874, 5172, 13672, 1829, 39896, 4724, 3794, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 13672, 1829, 36764, 24401, 15844, 1783, 5296, 1863, 18863, 8592, 25720, 15844, 9154, 22807, 15844, 1975, 2655, 1863, 9957, 1783, 1975, 2407, 16472, 13412, 19986, 39237, 6156, 39648, 14407, 4948, 5296, 15042, 2423, 1783, 12258, 281, 13202, 5296, 14407, 24401, 15844, 1975, 2655, 1863, 9957, 1783, 6055, 2288, 21292, 3615, 5296, 1863, 18863, 8592, 25720], "avg_logprob": -0.262576228598269, "compression_ratio": 1.7988505747126438, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2464.24, "end": 2464.52, "word": "يا", "probability": 0.10052490234375}, {"start": 2464.52, "end": 2464.78, "word": " ريت", "probability": 0.835205078125}, {"start": 2464.78, "end": 2465.2, "word": " بلاش", "probability": 0.8380533854166666}, {"start": 2465.2, "end": 2465.56, "word": " منه", "probability": 0.9033203125}, {"start": 2465.56, "end": 2465.9, "word": " هذا", "probability": 0.91015625}, {"start": 2465.9, "end": 2466.26, "word": " ال", "probability": 0.403076171875}, {"start": 2466.26, "end": 2467.78, "word": " ..", "probability": 0.422607421875}, {"start": 2467.78, "end": 2468.48, "word": " جف", "probability": 0.721923828125}, {"start": 2468.48, "end": 2468.76, "word": " اللي", "probability": 0.738037109375}, {"start": 2468.76, "end": 2468.9, "word": " هي", "probability": 0.302734375}, {"start": 2468.9, "end": 2469.44, "word": " بس", "probability": 0.82763671875}, {"start": 2469.44, "end": 2471.3, "word": " limit", "probability": 0.57080078125}, {"start": 2471.3, "end": 2472.14, "word": " لما", "probability": 0.908447265625}, {"start": 2472.14, "end": 2472.32, "word": " ال", "probability": 0.9462890625}, {"start": 2472.32, "end": 2472.6, "word": " X", "probability": 0.468017578125}, {"start": 2472.6, "end": 2472.98, "word": " tends", "probability": 0.83642578125}, {"start": 2472.98, "end": 2473.22, "word": " to", "probability": 0.9365234375}, {"start": 2473.22, "end": 2473.78, "word": " infinity", "probability": 0.8427734375}, {"start": 2473.78, "end": 2474.08, "word": " اللي", "probability": 0.6556396484375}, {"start": 2474.08, "end": 2474.64, "word": " واحد", "probability": 0.9189453125}, {"start": 2474.64, "end": 2474.94, "word": " على", "probability": 0.552734375}, {"start": 2474.94, "end": 2475.36, "word": " X", "probability": 0.9091796875}, {"start": 2475.36, "end": 2476.3, "word": " لن", "probability": 0.5020751953125}, {"start": 2476.3, "end": 2477.3, "word": " العشرة", "probability": 0.9446614583333334}, {"start": 2477.3, "end": 2478.9, "word": " على", "probability": 0.90478515625}, {"start": 2478.9, "end": 2479.5, "word": " من؟", "probability": 0.51953125}, {"start": 2479.5, "end": 2479.74, "word": " على", "probability": 0.8447265625}, {"start": 2479.74, "end": 2480.46, "word": " اتنين", "probability": 0.9466552734375}, {"start": 2480.46, "end": 2480.88, "word": " X", "probability": 0.91064453125}, {"start": 2480.88, "end": 2481.56, "word": " او", "probability": 0.85546875}, {"start": 2481.56, "end": 2481.7, "word": " ان", "probability": 0.88525390625}, {"start": 2481.7, "end": 2482.2, "word": " شئتم", "probability": 0.5650227864583334}, {"start": 2482.2, "end": 2482.98, "word": " فقولوا", "probability": 0.8829752604166666}, {"start": 2482.98, "end": 2483.56, "word": " limit", "probability": 0.9638671875}, {"start": 2483.56, "end": 2483.98, "word": " لما", "probability": 0.970458984375}, {"start": 2483.98, "end": 2484.14, "word": " ال", "probability": 0.9267578125}, {"start": 2484.14, "end": 2484.36, "word": " X", "probability": 0.99169921875}, {"start": 2484.36, "end": 2484.72, "word": " tends", "probability": 0.8515625}, {"start": 2484.72, "end": 2484.94, "word": " to", "probability": 0.9736328125}, {"start": 2484.94, "end": 2485.54, "word": " infinity", "probability": 0.86767578125}, {"start": 2485.54, "end": 2486.84, "word": " لواحد", "probability": 0.8375651041666666}, {"start": 2486.84, "end": 2487.14, "word": " على", "probability": 0.8408203125}, {"start": 2487.14, "end": 2487.96, "word": " اتنين", "probability": 0.9775390625}, {"start": 2487.96, "end": 2488.54, "word": " X", "probability": 0.98876953125}, {"start": 2488.54, "end": 2489.4, "word": " تربيع", "probability": 0.75518798828125}, {"start": 2489.4, "end": 2489.94, "word": " لن", "probability": 0.976806640625}, {"start": 2489.94, "end": 2490.72, "word": " العشرة", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 105, "seek": 251744, "start": 2491.66, "end": 2517.44, "text": "لو جدّيش واحد على ما لا نهاية جدّيش ناتج ال limit؟ Zero معناه هذا الكلام ان ال log x للأساس عشرة grow slower than أبطأ من أمين اللي هو ال x تربيع as x tends to infinity نمرى ال C بدنا من؟", "tokens": [1211, 2407, 10874, 3215, 11703, 1829, 8592, 36764, 24401, 15844, 19446, 20193, 8717, 11296, 10632, 10874, 3215, 11703, 1829, 8592, 8717, 9307, 7435, 2423, 4948, 22807, 17182, 20449, 8315, 3224, 23758, 2423, 28820, 10943, 16472, 2423, 3565, 2031, 24976, 10721, 3794, 32277, 6225, 8592, 25720, 1852, 14009, 813, 5551, 3555, 9566, 10721, 9154, 5551, 2304, 9957, 13672, 1829, 31439, 2423, 2031, 6055, 25513, 40228, 382, 2031, 12258, 281, 13202, 8717, 29973, 7578, 2423, 383, 47525, 8315, 9154, 22807], "avg_logprob": -0.3556171014339109, "compression_ratio": 1.3816425120772946, "no_speech_prob": 0.0, "words": [{"start": 2491.66, "end": 2492.06, "word": "لو", "probability": 0.605712890625}, {"start": 2492.06, "end": 2492.56, "word": " جدّيش", "probability": 0.565869140625}, {"start": 2492.56, "end": 2493.12, "word": " واحد", "probability": 0.9765625}, {"start": 2493.12, "end": 2493.42, "word": " على", "probability": 0.6826171875}, {"start": 2493.42, "end": 2493.7, "word": " ما", "probability": 0.841796875}, {"start": 2493.7, "end": 2494.06, "word": " لا", "probability": 0.689453125}, {"start": 2494.06, "end": 2494.8, "word": " نهاية", "probability": 0.9518229166666666}, {"start": 2494.8, "end": 2495.3, "word": " جدّيش", "probability": 0.82431640625}, {"start": 2495.3, "end": 2495.78, "word": " ناتج", "probability": 0.560546875}, {"start": 2495.78, "end": 2495.92, "word": " ال", "probability": 0.7451171875}, {"start": 2495.92, "end": 2496.86, "word": " limit؟", "probability": 0.541015625}, {"start": 2496.86, "end": 2497.42, "word": " Zero", "probability": 0.49658203125}, {"start": 2497.42, "end": 2498.0, "word": " معناه", "probability": 0.76708984375}, {"start": 2498.0, "end": 2498.36, "word": " هذا", "probability": 0.8291015625}, {"start": 2498.36, "end": 2499.38, "word": " الكلام", "probability": 0.94970703125}, {"start": 2499.38, "end": 2500.1, "word": " ان", "probability": 0.5615234375}, {"start": 2500.1, "end": 2500.96, "word": " ال", "probability": 0.806640625}, {"start": 2500.96, "end": 2501.5, "word": " log", "probability": 0.90478515625}, {"start": 2501.5, "end": 2502.32, "word": " x", "probability": 0.60888671875}, {"start": 2502.32, "end": 2503.16, "word": " للأساس", "probability": 0.9195556640625}, {"start": 2503.16, "end": 2503.72, "word": " عشرة", "probability": 0.9034830729166666}, {"start": 2503.72, "end": 2504.24, "word": " grow", "probability": 0.4609375}, {"start": 2504.24, "end": 2505.52, "word": " slower", "probability": 0.83544921875}, {"start": 2505.52, "end": 2506.54, "word": " than", "probability": 0.8466796875}, {"start": 2506.54, "end": 2507.5, "word": " أبطأ", "probability": 0.83056640625}, {"start": 2507.5, "end": 2508.3, "word": " من", "probability": 0.978515625}, {"start": 2508.3, "end": 2509.86, "word": " أمين", "probability": 0.5879720052083334}, {"start": 2509.86, "end": 2510.44, "word": " اللي", "probability": 0.6357421875}, {"start": 2510.44, "end": 2510.56, "word": " هو", "probability": 0.87109375}, {"start": 2510.56, "end": 2510.72, "word": " ال", "probability": 0.7724609375}, {"start": 2510.72, "end": 2511.06, "word": " x", "probability": 0.5205078125}, {"start": 2511.06, "end": 2511.76, "word": " تربيع", "probability": 0.70654296875}, {"start": 2511.76, "end": 2512.28, "word": " as", "probability": 0.5146484375}, {"start": 2512.28, "end": 2512.76, "word": " x", "probability": 0.9296875}, {"start": 2512.76, "end": 2513.16, "word": " tends", "probability": 0.82470703125}, {"start": 2513.16, "end": 2513.38, "word": " to", "probability": 0.93115234375}, {"start": 2513.38, "end": 2514.14, "word": " infinity", "probability": 0.84619140625}, {"start": 2514.14, "end": 2515.44, "word": " نمرى", "probability": 0.6582845052083334}, {"start": 2515.44, "end": 2515.5, "word": " ال", "probability": 0.495361328125}, {"start": 2515.5, "end": 2515.86, "word": " C", "probability": 0.46240234375}, {"start": 2515.86, "end": 2516.9, "word": " بدنا", "probability": 0.73046875}, {"start": 2516.9, "end": 2517.44, "word": " من؟", "probability": 0.625244140625}], "temperature": 1.0}, {"id": 106, "seek": 254303, "start": 2520.21, "end": 2543.03, "text": "بنخلصها يبقى الاكس تربيع زائد واحد بنفس الطريقة بدنا ناخد ال limit ما بين الاتنين لما الاكس tends to infinity ل الاكس تربيع على الجدرى التربية لاربعة اكس أس اربعة تلاتة اكس تربيع زائد واحد", "tokens": [3555, 1863, 9778, 1211, 9381, 11296, 7251, 3555, 4587, 7578, 42963, 4117, 3794, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 44945, 36178, 41950, 16572, 28671, 47525, 8315, 8717, 47283, 3215, 2423, 4948, 19446, 49374, 2423, 9307, 1863, 9957, 5296, 15042, 42963, 4117, 3794, 12258, 281, 13202, 5296, 42963, 4117, 3794, 6055, 2288, 21292, 3615, 15844, 25724, 3215, 2288, 7578, 16712, 2288, 21292, 3660, 5296, 9640, 3555, 27884, 1975, 4117, 3794, 5551, 3794, 1975, 25513, 27884, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.31765293218988055, "compression_ratio": 1.8505747126436782, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2520.2100000000005, "end": 2521.4500000000003, "word": "بنخلصها", "probability": 0.6443684895833334}, {"start": 2521.4500000000003, "end": 2522.69, "word": " يبقى", "probability": 0.724853515625}, {"start": 2522.69, "end": 2523.25, "word": " الاكس", "probability": 0.5956624348958334}, {"start": 2523.25, "end": 2523.89, "word": " تربيع", "probability": 0.7791748046875}, {"start": 2523.89, "end": 2524.79, "word": " زائد", "probability": 0.7037760416666666}, {"start": 2524.79, "end": 2525.37, "word": " واحد", "probability": 0.9521484375}, {"start": 2525.37, "end": 2526.49, "word": " بنفس", "probability": 0.84130859375}, {"start": 2526.49, "end": 2527.21, "word": " الطريقة", "probability": 0.9871419270833334}, {"start": 2527.21, "end": 2527.67, "word": " بدنا", "probability": 0.51593017578125}, {"start": 2527.67, "end": 2528.67, "word": " ناخد", "probability": 0.7793782552083334}, {"start": 2528.67, "end": 2528.85, "word": " ال", "probability": 0.56591796875}, {"start": 2528.85, "end": 2529.31, "word": " limit", "probability": 0.876953125}, {"start": 2529.31, "end": 2530.13, "word": " ما", "probability": 0.853515625}, {"start": 2530.13, "end": 2530.53, "word": " بين", "probability": 0.98828125}, {"start": 2530.53, "end": 2531.39, "word": " الاتنين", "probability": 0.8302001953125}, {"start": 2531.39, "end": 2532.27, "word": " لما", "probability": 0.828857421875}, {"start": 2532.27, "end": 2532.89, "word": " الاكس", "probability": 0.87060546875}, {"start": 2532.89, "end": 2533.15, "word": " tends", "probability": 0.06439208984375}, {"start": 2533.15, "end": 2533.41, "word": " to", "probability": 0.953125}, {"start": 2533.41, "end": 2534.09, "word": " infinity", "probability": 0.8955078125}, {"start": 2534.09, "end": 2534.79, "word": " ل", "probability": 0.343994140625}, {"start": 2534.79, "end": 2535.35, "word": " الاكس", "probability": 0.7928059895833334}, {"start": 2535.35, "end": 2536.01, "word": " تربيع", "probability": 0.9256591796875}, {"start": 2536.01, "end": 2536.63, "word": " على", "probability": 0.78125}, {"start": 2536.63, "end": 2537.27, "word": " الجدرى", "probability": 0.73236083984375}, {"start": 2537.27, "end": 2537.83, "word": " التربية", "probability": 0.8350830078125}, {"start": 2537.83, "end": 2538.47, "word": " لاربعة", "probability": 0.7415771484375}, {"start": 2538.47, "end": 2538.81, "word": " اكس", "probability": 0.9539388020833334}, {"start": 2538.81, "end": 2539.03, "word": " أس", "probability": 0.4122314453125}, {"start": 2539.03, "end": 2539.51, "word": " اربعة", "probability": 0.8771158854166666}, {"start": 2539.51, "end": 2540.23, "word": " تلاتة", "probability": 0.9473876953125}, {"start": 2540.23, "end": 2540.63, "word": " اكس", "probability": 0.9534505208333334}, {"start": 2540.63, "end": 2541.25, "word": " تربيع", "probability": 0.877197265625}, {"start": 2541.25, "end": 2542.61, "word": " زائد", "probability": 0.9423828125}, {"start": 2542.61, "end": 2543.03, "word": " واحد", "probability": 0.98193359375}], "temperature": 1.0}, {"id": 107, "seek": 256867, "start": 2544.09, "end": 2568.67, "text": "تعويض المراعش اللي بيجيب ل infinity على infinity يبقى مشتقة البسط على مشتقة المقام أو نقسم كله من البسط والمقام على x المرقوعة لأكبر أس في المقام أكبر أس في المقام ليه x أس أربعة تحت الجذر look at this x تربيع إذا نقسم البسط والمقام عالميا على x تربيع بيصير limit لما ال x tends to infinity", "tokens": [2655, 3615, 45865, 11242, 9673, 23557, 3615, 8592, 13672, 1829, 4724, 1829, 7435, 1829, 3555, 5296, 13202, 15844, 13202, 7251, 3555, 4587, 7578, 37893, 2655, 28671, 29739, 3794, 9566, 15844, 37893, 2655, 28671, 9673, 4587, 10943, 34051, 8717, 4587, 38251, 28242, 3224, 9154, 29739, 3794, 9566, 16070, 2304, 4587, 10943, 15844, 2031, 9673, 2288, 4587, 2407, 27884, 5296, 10721, 4117, 26890, 5551, 3794, 8978, 9673, 4587, 10943, 5551, 4117, 26890, 5551, 3794, 8978, 9673, 4587, 10943, 32239, 3224, 2031, 5551, 3794, 5551, 25513, 27884, 6055, 33753, 25724, 8848, 2288, 574, 412, 341, 2031, 6055, 2288, 21292, 3615, 11933, 15730, 8717, 4587, 38251, 29739, 3794, 9566, 16070, 2304, 4587, 10943, 6225, 45340, 25528, 15844, 2031, 6055, 2288, 21292, 3615, 4724, 1829, 9381, 13546, 4948, 5296, 15042, 2423, 2031, 12258, 281, 13202], "avg_logprob": -0.2355677446791234, "compression_ratio": 2.0432900432900434, "no_speech_prob": 0.0, "words": [{"start": 2544.09, "end": 2544.57, "word": "تعويض", "probability": 0.65374755859375}, {"start": 2544.57, "end": 2544.99, "word": " المراعش", "probability": 0.6266632080078125}, {"start": 2544.99, "end": 2545.11, "word": " اللي", "probability": 0.541748046875}, {"start": 2545.11, "end": 2545.41, "word": " بيجيب", "probability": 0.9076171875}, {"start": 2545.41, "end": 2545.51, "word": " ل", "probability": 0.216064453125}, {"start": 2545.51, "end": 2545.95, "word": " infinity", "probability": 0.43896484375}, {"start": 2545.95, "end": 2546.35, "word": " على", "probability": 0.67529296875}, {"start": 2546.35, "end": 2546.79, "word": " infinity", "probability": 0.71728515625}, {"start": 2546.79, "end": 2547.13, "word": " يبقى", "probability": 0.9088134765625}, {"start": 2547.13, "end": 2547.69, "word": " مشتقة", "probability": 0.9422200520833334}, {"start": 2547.69, "end": 2548.11, "word": " البسط", "probability": 0.7618815104166666}, {"start": 2548.11, "end": 2548.29, "word": " على", "probability": 0.609375}, {"start": 2548.29, "end": 2548.83, "word": " مشتقة", "probability": 0.96044921875}, {"start": 2548.83, "end": 2549.45, "word": " المقام", "probability": 0.9404296875}, {"start": 2549.45, "end": 2550.17, "word": " أو", "probability": 0.50048828125}, {"start": 2550.17, "end": 2551.01, "word": " نقسم", "probability": 0.84423828125}, {"start": 2551.01, "end": 2551.43, "word": " كله", "probability": 0.83203125}, {"start": 2551.43, "end": 2551.53, "word": " من", "probability": 0.9384765625}, {"start": 2551.53, "end": 2551.91, "word": " البسط", "probability": 0.9695638020833334}, {"start": 2551.91, "end": 2552.47, "word": " والمقام", "probability": 0.8990478515625}, {"start": 2552.47, "end": 2552.65, "word": " على", "probability": 0.7431640625}, {"start": 2552.65, "end": 2552.85, "word": " x", "probability": 0.56640625}, {"start": 2552.85, "end": 2553.35, "word": " المرقوعة", "probability": 0.94130859375}, {"start": 2553.35, "end": 2553.93, "word": " لأكبر", "probability": 0.8812255859375}, {"start": 2553.93, "end": 2554.29, "word": " أس", "probability": 0.619873046875}, {"start": 2554.29, "end": 2554.51, "word": " في", "probability": 0.841796875}, {"start": 2554.51, "end": 2555.21, "word": " المقام", "probability": 0.9947916666666666}, {"start": 2555.21, "end": 2556.17, "word": " أكبر", "probability": 0.9114583333333334}, {"start": 2556.17, "end": 2556.45, "word": " أس", "probability": 0.983154296875}, {"start": 2556.45, "end": 2556.61, "word": " في", "probability": 0.94384765625}, {"start": 2556.61, "end": 2557.01, "word": " المقام", "probability": 0.9959309895833334}, {"start": 2557.01, "end": 2557.29, "word": " ليه", "probability": 0.7177734375}, {"start": 2557.29, "end": 2557.55, "word": " x", "probability": 0.61376953125}, {"start": 2557.55, "end": 2558.01, "word": " أس", "probability": 0.919677734375}, {"start": 2558.01, "end": 2558.59, "word": " أربعة", "probability": 0.8116861979166666}, {"start": 2558.59, "end": 2559.19, "word": " تحت", "probability": 0.987548828125}, {"start": 2559.19, "end": 2559.87, "word": " الجذر", "probability": 0.8688151041666666}, {"start": 2559.87, "end": 2560.11, "word": " look", "probability": 0.07025146484375}, {"start": 2560.11, "end": 2560.31, "word": " at", "probability": 0.93798828125}, {"start": 2560.31, "end": 2560.63, "word": " this", "probability": 0.54541015625}, {"start": 2560.63, "end": 2561.45, "word": " x", "probability": 0.63623046875}, {"start": 2561.45, "end": 2561.95, "word": " تربيع", "probability": 0.80352783203125}, {"start": 2561.95, "end": 2562.19, "word": " إذا", "probability": 0.81640625}, {"start": 2562.19, "end": 2562.69, "word": " نقسم", "probability": 0.7877604166666666}, {"start": 2562.69, "end": 2563.09, "word": " البسط", "probability": 0.93994140625}, {"start": 2563.09, "end": 2563.63, "word": " والمقام", "probability": 0.8966064453125}, {"start": 2563.63, "end": 2564.19, "word": " عالميا", "probability": 0.8492838541666666}, {"start": 2564.19, "end": 2565.01, "word": " على", "probability": 0.7607421875}, {"start": 2565.01, "end": 2565.45, "word": " x", "probability": 0.9609375}, {"start": 2565.45, "end": 2566.03, "word": " تربيع", "probability": 0.9625244140625}, {"start": 2566.03, "end": 2566.47, "word": " بيصير", "probability": 0.87890625}, {"start": 2566.47, "end": 2566.91, "word": " limit", "probability": 0.56494140625}, {"start": 2566.91, "end": 2567.27, "word": " لما", "probability": 0.922607421875}, {"start": 2567.27, "end": 2567.41, "word": " ال", "probability": 0.86865234375}, {"start": 2567.41, "end": 2567.63, "word": " x", "probability": 0.6826171875}, {"start": 2567.63, "end": 2567.91, "word": " tends", "probability": 0.75927734375}, {"start": 2567.91, "end": 2568.11, "word": " to", "probability": 0.94140625}, {"start": 2568.11, "end": 2568.67, "word": " infinity", "probability": 0.8828125}], "temperature": 1.0}, {"id": 108, "seek": 257631, "start": 2569.15, "end": 2576.31, "text": "لواحد على الجذر التربيعي هذه لما تسمى على X تربيعي تدخله تحت الجذر", "tokens": [1211, 14407, 24401, 15844, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 1829, 29538, 5296, 15042, 6055, 38251, 7578, 15844, 1783, 6055, 2288, 21292, 3615, 1829, 6055, 3215, 9778, 43761, 6055, 33753, 25724, 8848, 2288], "avg_logprob": -0.3526785748345511, "compression_ratio": 1.4, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 2569.15, "end": 2570.15, "word": "لواحد", "probability": 0.6135660807291666}, {"start": 2570.15, "end": 2570.85, "word": " على", "probability": 0.82373046875}, {"start": 2570.85, "end": 2571.43, "word": " الجذر", "probability": 0.93798828125}, {"start": 2571.43, "end": 2572.35, "word": " التربيعي", "probability": 0.88271484375}, {"start": 2572.35, "end": 2573.17, "word": " هذه", "probability": 0.227294921875}, {"start": 2573.17, "end": 2573.47, "word": " لما", "probability": 0.6744384765625}, {"start": 2573.47, "end": 2573.87, "word": " تسمى", "probability": 0.7006022135416666}, {"start": 2573.87, "end": 2574.03, "word": " على", "probability": 0.775390625}, {"start": 2574.03, "end": 2574.23, "word": " X", "probability": 0.50244140625}, {"start": 2574.23, "end": 2574.55, "word": " تربيعي", "probability": 0.8037109375}, {"start": 2574.55, "end": 2575.13, "word": " تدخله", "probability": 0.6527099609375}, {"start": 2575.13, "end": 2575.67, "word": " تحت", "probability": 0.989990234375}, {"start": 2575.67, "end": 2576.31, "word": " الجذر", "probability": 0.9864908854166666}], "temperature": 1.0}, {"id": 109, "seek": 259892, "start": 2579.92, "end": 2598.92, "text": "أكسوس أربعة يبقى بابا اللي عنده هنا أربعة زي التلاتة على X تربية زي الواحد على X أربعة يبقى جسمنا على X تربية ودخلناها وين؟ تحت الجذر هذا ب Zero وهذا ب Zero يبقى الجواب جد نص", "tokens": [10721, 4117, 3794, 41779, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 4724, 16758, 995, 13672, 1829, 43242, 3224, 34105, 5551, 25513, 27884, 30767, 1829, 16712, 1211, 9307, 3660, 15844, 1783, 6055, 25513, 10632, 30767, 1829, 2423, 14407, 24401, 15844, 1783, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 10874, 38251, 8315, 15844, 1783, 6055, 25513, 10632, 4032, 3215, 9778, 1211, 8315, 11296, 4032, 9957, 22807, 6055, 33753, 25724, 8848, 2288, 23758, 4724, 17182, 37037, 15730, 4724, 17182, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 10874, 3215, 8717, 9381], "avg_logprob": -0.22407670014283873, "compression_ratio": 1.8466257668711656, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 2579.92, "end": 2580.66, "word": "أكسوس", "probability": 0.6524200439453125}, {"start": 2580.66, "end": 2581.22, "word": " أربعة", "probability": 0.7975260416666666}, {"start": 2581.22, "end": 2581.98, "word": " يبقى", "probability": 0.8780517578125}, {"start": 2581.98, "end": 2582.34, "word": " بابا", "probability": 0.7306315104166666}, {"start": 2582.34, "end": 2582.4, "word": " اللي", "probability": 0.844482421875}, {"start": 2582.4, "end": 2582.86, "word": " عنده", "probability": 0.8251953125}, {"start": 2582.86, "end": 2583.18, "word": " هنا", "probability": 0.77783203125}, {"start": 2583.18, "end": 2583.92, "word": " أربعة", "probability": 0.83447265625}, {"start": 2583.92, "end": 2584.46, "word": " زي", "probability": 0.888427734375}, {"start": 2584.46, "end": 2585.26, "word": " التلاتة", "probability": 0.919189453125}, {"start": 2585.26, "end": 2585.5, "word": " على", "probability": 0.57080078125}, {"start": 2585.5, "end": 2585.8, "word": " X", "probability": 0.57177734375}, {"start": 2585.8, "end": 2586.36, "word": " تربية", "probability": 0.8460286458333334}, {"start": 2586.36, "end": 2587.18, "word": " زي", "probability": 0.816650390625}, {"start": 2587.18, "end": 2587.7, "word": " الواحد", "probability": 0.833984375}, {"start": 2587.7, "end": 2587.88, "word": " على", "probability": 0.6552734375}, {"start": 2587.88, "end": 2588.1, "word": " X", "probability": 0.50390625}, {"start": 2588.1, "end": 2588.76, "word": " أربعة", "probability": 0.9205729166666666}, {"start": 2588.76, "end": 2589.64, "word": " يبقى", "probability": 0.9559326171875}, {"start": 2589.64, "end": 2590.22, "word": " جسمنا", "probability": 0.6891276041666666}, {"start": 2590.22, "end": 2590.42, "word": " على", "probability": 0.9130859375}, {"start": 2590.42, "end": 2590.66, "word": " X", "probability": 0.986328125}, {"start": 2590.66, "end": 2591.04, "word": " تربية", "probability": 0.9684244791666666}, {"start": 2591.04, "end": 2591.76, "word": " ودخلناها", "probability": 0.9560546875}, {"start": 2591.76, "end": 2592.56, "word": " وين؟", "probability": 0.535888671875}, {"start": 2592.56, "end": 2592.98, "word": " تحت", "probability": 0.982421875}, {"start": 2592.98, "end": 2593.58, "word": " الجذر", "probability": 0.8740234375}, {"start": 2593.58, "end": 2594.7, "word": " هذا", "probability": 0.7861328125}, {"start": 2594.7, "end": 2594.88, "word": " ب", "probability": 0.826171875}, {"start": 2594.88, "end": 2595.3, "word": " Zero", "probability": 0.307373046875}, {"start": 2595.3, "end": 2596.08, "word": " وهذا", "probability": 0.8173828125}, {"start": 2596.08, "end": 2596.22, "word": " ب", "probability": 0.939453125}, {"start": 2596.22, "end": 2596.46, "word": " Zero", "probability": 0.955078125}, {"start": 2596.46, "end": 2596.82, "word": " يبقى", "probability": 0.9443359375}, {"start": 2596.82, "end": 2597.32, "word": " الجواب", "probability": 0.9567057291666666}, {"start": 2597.32, "end": 2597.64, "word": " جد", "probability": 0.741943359375}, {"start": 2597.64, "end": 2598.92, "word": " نص", "probability": 0.788818359375}], "temperature": 1.0}, {"id": 110, "seek": 262566, "start": 2599.3, "end": 2625.66, "text": "يبقى يطلع رقم تبقى للنقطة التالتة اللى عندنا لاتنين grow at the same rate يبقى so ال X تربية and الجذر التربية لأربعة X قصة أربعة تلاتة X تربية زائد واحد grow at the same rate as X tends to infinity", "tokens": [1829, 3555, 4587, 7578, 7251, 9566, 1211, 3615, 12602, 4587, 2304, 6055, 3555, 4587, 7578, 24976, 1863, 47432, 3660, 16712, 6027, 2655, 3660, 13672, 7578, 43242, 8315, 5296, 9307, 1863, 9957, 1852, 412, 264, 912, 3314, 7251, 3555, 4587, 7578, 370, 2423, 1783, 6055, 25513, 10632, 293, 25724, 8848, 2288, 16712, 25513, 10632, 5296, 10721, 25513, 27884, 1783, 12174, 9381, 3660, 5551, 25513, 27884, 6055, 1211, 9307, 3660, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 1852, 412, 264, 912, 3314, 382, 1783, 12258, 281, 13202], "avg_logprob": -0.24396306462585926, "compression_ratio": 1.6444444444444444, "no_speech_prob": 0.0, "words": [{"start": 2599.3, "end": 2599.64, "word": "يبقى", "probability": 0.8443603515625}, {"start": 2599.64, "end": 2600.12, "word": " يطلع", "probability": 0.677032470703125}, {"start": 2600.12, "end": 2600.74, "word": " رقم", "probability": 0.9654947916666666}, {"start": 2600.74, "end": 2601.24, "word": " تبقى", "probability": 0.8614501953125}, {"start": 2601.24, "end": 2602.1, "word": " للنقطة", "probability": 0.8824462890625}, {"start": 2602.1, "end": 2602.54, "word": " التالتة", "probability": 0.9478759765625}, {"start": 2602.54, "end": 2602.7, "word": " اللى", "probability": 0.671142578125}, {"start": 2602.7, "end": 2603.38, "word": " عندنا", "probability": 0.724853515625}, {"start": 2603.38, "end": 2604.22, "word": " لاتنين", "probability": 0.67303466796875}, {"start": 2604.22, "end": 2604.56, "word": " grow", "probability": 0.58935546875}, {"start": 2604.56, "end": 2605.06, "word": " at", "probability": 0.9638671875}, {"start": 2605.06, "end": 2605.34, "word": " the", "probability": 0.93212890625}, {"start": 2605.34, "end": 2606.02, "word": " same", "probability": 0.9140625}, {"start": 2606.02, "end": 2606.4, "word": " rate", "probability": 0.97607421875}, {"start": 2606.4, "end": 2607.38, "word": " يبقى", "probability": 0.9658203125}, {"start": 2607.38, "end": 2607.74, "word": " so", "probability": 0.20751953125}, {"start": 2607.74, "end": 2608.3, "word": " ال", "probability": 0.6162109375}, {"start": 2608.3, "end": 2608.6, "word": " X", "probability": 0.42724609375}, {"start": 2608.6, "end": 2609.22, "word": " تربية", "probability": 0.7960611979166666}, {"start": 2609.22, "end": 2610.06, "word": " and", "probability": 0.787109375}, {"start": 2610.06, "end": 2610.96, "word": " الجذر", "probability": 0.77783203125}, {"start": 2610.96, "end": 2611.62, "word": " التربية", "probability": 0.9060872395833334}, {"start": 2611.62, "end": 2612.28, "word": " لأربعة", "probability": 0.69549560546875}, {"start": 2612.28, "end": 2612.58, "word": " X", "probability": 0.884765625}, {"start": 2612.58, "end": 2612.98, "word": " قصة", "probability": 0.5496012369791666}, {"start": 2612.98, "end": 2613.44, "word": " أربعة", "probability": 0.89990234375}, {"start": 2613.44, "end": 2614.24, "word": " تلاتة", "probability": 0.9217529296875}, {"start": 2614.24, "end": 2614.46, "word": " X", "probability": 0.94482421875}, {"start": 2614.46, "end": 2614.92, "word": " تربية", "probability": 0.9305013020833334}, {"start": 2614.92, "end": 2615.32, "word": " زائد", "probability": 0.8294270833333334}, {"start": 2615.32, "end": 2615.86, "word": " واحد", "probability": 0.9794921875}, {"start": 2615.86, "end": 2616.72, "word": " grow", "probability": 0.74072265625}, {"start": 2616.72, "end": 2618.06, "word": " at", "probability": 0.9755859375}, {"start": 2618.06, "end": 2619.02, "word": " the", "probability": 0.931640625}, {"start": 2619.02, "end": 2620.42, "word": " same", "probability": 0.90673828125}, {"start": 2620.42, "end": 2621.8, "word": " rate", "probability": 0.96533203125}, {"start": 2621.8, "end": 2623.32, "word": " as", "probability": 0.9287109375}, {"start": 2623.32, "end": 2624.28, "word": " X", "probability": 0.97216796875}, {"start": 2624.28, "end": 2624.86, "word": " tends", "probability": 0.84716796875}, {"start": 2624.86, "end": 2625.16, "word": " to", "probability": 0.97021484375}, {"start": 2625.16, "end": 2625.66, "word": " infinity", "probability": 0.546875}], "temperature": 1.0}, {"id": 111, "seek": 263780, "start": 2628.58, "end": 2637.8, "text": "لسه لا يزال عندنا نقطة ضمن هذا ال section للمرة القادمة ان شاء الله تعالى", "tokens": [1211, 3794, 3224, 20193, 7251, 11622, 6027, 43242, 8315, 8717, 47432, 3660, 48812, 27842, 23758, 2423, 3541, 5296, 19528, 25720, 25062, 18513, 46007, 16472, 13412, 16606, 21984, 37279, 6027, 7578], "avg_logprob": -0.19720262577456812, "compression_ratio": 1.2254901960784315, "no_speech_prob": 2.5033950805664062e-06, "words": [{"start": 2628.58, "end": 2629.54, "word": "لسه", "probability": 0.8714192708333334}, {"start": 2629.54, "end": 2629.66, "word": " لا", "probability": 0.8935546875}, {"start": 2629.66, "end": 2630.26, "word": " يزال", "probability": 0.9767252604166666}, {"start": 2630.26, "end": 2631.0, "word": " عندنا", "probability": 0.769775390625}, {"start": 2631.0, "end": 2632.36, "word": " نقطة", "probability": 0.9466145833333334}, {"start": 2632.36, "end": 2632.62, "word": " ضمن", "probability": 0.4661865234375}, {"start": 2632.62, "end": 2633.0, "word": " هذا", "probability": 0.440185546875}, {"start": 2633.0, "end": 2633.22, "word": " ال", "probability": 0.81494140625}, {"start": 2633.22, "end": 2633.7, "word": " section", "probability": 0.73974609375}, {"start": 2633.7, "end": 2634.94, "word": " للمرة", "probability": 0.9007161458333334}, {"start": 2634.94, "end": 2635.9, "word": " القادمة", "probability": 0.99072265625}, {"start": 2635.9, "end": 2636.2, "word": " ان", "probability": 0.546875}, {"start": 2636.2, "end": 2636.68, "word": " شاء", "probability": 0.957763671875}, {"start": 2636.68, "end": 2637.04, "word": " الله", "probability": 0.9638671875}, {"start": 2637.04, "end": 2637.8, "word": " تعالى", "probability": 0.9830729166666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2638.0655, "duration_after_vad": 2436.2834687499917}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xo7EvNzKzsM_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xo7EvNzKzsM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c210c2e444d2ec0b6e18d5e90208fc4d76213d38
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xo7EvNzKzsM_postprocess.srt
@@ -0,0 +1,1740 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:10,750 --> 00:00:15,250
+بسم الله الرحمن الرحيم الآن بنكمل على الأمثل التي
+
+3
+00:00:15,250 --> 00:00:19,690
+ابتدأنا فيها في المرة الماضية واخذنا على ذلك
+
+4
+00:00:19,690 --> 00:00:25,330
+مثالين مثال الأول تبسيط المقدار والمثال الثاني كان
+
+5
+00:00:25,330 --> 00:00:31,450
+إيجاد ال domain لدالة ما وشوفنا كيف نتخلص في هذا
+
+6
+00:00:31,450 --> 00:00:35,970
+المثال من ال exponential ونحصل على ال interval
+
+7
+00:00:35,970 --> 00:00:40,510
+اللي دال عليها معرفةبننتقل الى المثال الثالث و
+
+8
+00:00:40,510 --> 00:00:44,930
+هنقسمه كمان الى نقطتين النقطة الأولى بيقول soul
+
+9
+00:00:44,930 --> 00:00:50,180
+for whyيعني حل المسألة بالنسبة لي Y يعني بيجي تخلي
+
+10
+00:00:50,180 --> 00:00:55,640
+لي Y في شجة او في جهة و الباقي كله في جهتين اخرى
+
+11
+00:00:55,640 --> 00:01:00,980
+يعني هاتلي قيمة Y بدلالة من؟ بدلالة X نعطينا
+
+12
+00:01:00,980 --> 00:01:05,800
+المثلة M اتنين اص Y ناقص واحد زائد لن اتنين بيجي
+
+13
+00:01:05,800 --> 00:01:12,060
+يسوي X زائد لن اتنين Xبنا قيمة Y يبقى بالدخل اللي
+
+14
+00:01:12,060 --> 00:01:21,160
+فيها Y في جهة و الباقي بيوديه كله في جهة أخرى يبقى
+
+15
+00:01:21,160 --> 00:01:23,520
+هنا بقى بقول solution
+
+16
+00:01:27,390 --> 00:01:29,730
+لن اتنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+17
+00:01:29,730 --> 00:01:32,410
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+18
+00:01:32,410 --> 00:01:37,310
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+19
+00:01:37,310 --> 00:01:38,510
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+20
+00:01:38,510 --> 00:01:38,770
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+21
+00:01:38,770 --> 00:01:40,890
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+22
+00:01:40,890 --> 00:01:47,460
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثخارج
+
+23
+00:01:47,460 --> 00:01:55,180
+القسمة يبقى هذا x زائد لن اتنين x على اتنين يعني
+
+24
+00:01:55,180 --> 00:02:02,710
+يسوى x زائد لن ال xممكن الآن اتخلص من اللن اللي
+
+25
+00:02:02,710 --> 00:02:10,110
+عندى هذه بان اعمل ايه ارفع اتنين كأس للعدد a يبقى
+
+26
+00:02:10,110 --> 00:02:17,490
+ال a أس لن اتنين أس y ناقص واحد بدي يسوى e أس x
+
+27
+00:02:17,490 --> 00:02:25,050
+زائد لن ال xالـ E و Lن بيلغوا بعض حسب القاعدة اللي
+
+28
+00:02:25,050 --> 00:02:31,230
+اعطاناك إياها يبقى بضال عندي 2 أُس Y ناقص 1 يساوي
+
+29
+00:02:31,230 --> 00:02:38,460
+هذه بقدر أقول عليها E أُس X في E أُس Lن Xلأنه عند
+
+30
+00:02:38,460 --> 00:02:44,460
+الضرب إذا تساوت الأساسات بنجمع الأسس، يبقى عند
+
+31
+00:02:44,460 --> 00:02:49,520
+الأسس مجموعة بالدرجة عالمية للأصل بتباعها، يبقى
+
+32
+00:02:49,520 --> 00:02:55,710
+بصير عنده هنا اتنين أسواي ناقص واحد يساويطلعلي هذه
+
+33
+00:02:55,710 --> 00:03:00,550
+E أص لإن ال X اللي هي ب X مضغوبة في مين؟ في ال E و
+
+34
+00:03:00,550 --> 00:03:07,450
+ال 6 يبقى X في ال E و ال 6 او ان شيرتم فقولوا 2 أص
+
+35
+00:03:07,450 --> 00:03:16,730
+Y يسوى 1 زائد X في E أص Xطيب احنا بدنا y يبقى سهل
+
+36
+00:03:16,730 --> 00:03:22,930
+جدا خد ال len للطرفين يبقى لو أخدنا ال len للطرفين
+
+37
+00:03:22,930 --> 00:03:31,830
+بصير عندي y في len 2 يساوي len 1 زائد x في e أس x
+
+38
+00:03:33,250 --> 00:03:39,010
+أحنا ما بدنا لن اتنين بدنا Y لوحدها يبقى بناء عليه
+
+39
+00:03:39,010 --> 00:03:47,310
+بصير أن Y تساوي نجسم على لن اتنين لن واحد زائد X
+
+40
+00:03:47,310 --> 00:03:54,250
+في ال E of 6 كله مقسوما على لن اتنين يبقى هذا الحل
+
+41
+00:03:54,250 --> 00:04:03,480
+اللي عندي للمثلة ويمكن صياغته بصياغة أخرى وهيبقدر
+
+42
+00:04:03,480 --> 00:04:09,720
+اكتب هذا بدلالة logarithm log يبقى هذا الكلام بدى
+
+43
+00:04:09,720 --> 00:04:18,040
+يساوي logarithm للأساسي 2 لمين لواحد زائد X ا إي
+
+44
+00:04:18,040 --> 00:04:23,880
+أوس X بهذا الشكل يبقى هذا يعتبر حل المعادلة اللى
+
+45
+00:04:23,880 --> 00:04:37,780
+عندنا في هذا السؤال نمرى باهsolve for x لأن
+
+46
+00:04:37,780 --> 00:04:47,260
+ال E زائد أربعة أسالي باتنين logarithm X للأساس
+
+47
+00:04:47,260 --> 00:04:57,400
+أربعةبتساوي 1 على X log للأساس عشرة لمين للرقم 100
+
+48
+00:04:57,400 --> 00:05:02,920
+وال X هذه مالها لا تساوي Zero
+
+49
+00:05:12,410 --> 00:05:17,370
+سؤال مرة تانية بيقولي solve for x يعني حل المعادلة
+
+50
+00:05:17,370 --> 00:05:21,270
+بالنسبة ل x طبعا ماعندي شوية عندي أعداد وبالتالي
+
+51
+00:05:21,270 --> 00:05:27,830
+بدي أقرأ جداش القيمة العددية للمتغير x لإن ال a
+
+52
+00:05:27,830 --> 00:05:33,530
+زاد 4 مرفوعة للأس نقص 2 ال logarithm x للأساس 4
+
+53
+00:05:33,530 --> 00:05:40,050
+بدي أسوأ 1 على x لجمية للأساس 10.بنقوله بسيطة
+
+54
+00:05:40,050 --> 00:05:41,510
+الحال كالتالي
+
+55
+00:05:44,950 --> 00:05:50,290
+خلصنا منها، سهلة، زاد، شو رأيك؟ هنا أربعة و هنا
+
+56
+00:05:50,290 --> 00:05:54,450
+أربعة، بس هنا جبلة قداش؟ إذا لو فيش سالة و أتنين
+
+57
+00:05:54,450 --> 00:05:59,170
+كان أمري ميصور و سهل جدا، يعني بدخل سالة و أتنين
+
+58
+00:05:59,170 --> 00:06:06,540
+جوا لإن بتيجي كأس لمين؟يبقى بيصير أربعة أس لغة رتم
+
+59
+00:06:06,540 --> 00:06:12,380
+للأساس أربعة لل إكس أس سالي باتنين بالشكل اللي
+
+60
+00:06:12,380 --> 00:06:21,300
+عندنا بده يساوي واحد على إكس هذه مية عشرة تربيع
+
+61
+00:06:21,300 --> 00:06:28,120
+يعني اتنين لجة عشرة للأساس عشرة في اتنين أس لغة
+
+62
+00:06:28,120 --> 00:06:35,250
+رتم عشرة للأساس عشرةلو جينا نبسطها يبقى واحد زائد
+
+63
+00:06:35,250 --> 00:06:40,430
+إذا الأساس هذا هو الأساس هذا بيقول مين أنه بس ما
+
+64
+00:06:40,430 --> 00:06:47,390
+داخل ال log يبقى X أس سالي باتنين يساوي اتنين على
+
+65
+00:06:47,390 --> 00:06:51,890
+X و log ال X لل log عشر الأساس عشر اللي هو جداش
+
+66
+00:06:51,890 --> 00:06:59,750
+بواحد صحيحطيب بدنا نتخلص من الشغل هذه يبجى هذا أس
+
+67
+00:06:59,750 --> 00:07:05,010
+سالب شو رايك نضرب كله في X تربيع يعني لو ضربنا في
+
+68
+00:07:05,010 --> 00:07:10,510
+X تربيع نتخلص من مين؟ من الأس السالب يبجى هذا
+
+69
+00:07:10,510 --> 00:07:16,830
+الكلام بده يعطيلك ان X تربيع زائد واحد يساوي اتنين
+
+70
+00:07:16,830 --> 00:07:22,020
+XX تربيع في واحد ب X تربيع X تربيع في X السالب
+
+71
+00:07:22,020 --> 00:07:27,140
+اتنين ب X او ال zero اللي هو بواحد X تربيع مع ال X
+
+72
+00:07:27,140 --> 00:07:32,940
+بيضل X في البصر هذي لو اعاد ترتيبها بصير عندي X
+
+73
+00:07:32,940 --> 00:07:44,840
+تربيع المثال الرابع بيقولي find Y prime Y primefor
+
+74
+00:07:44,840 --> 00:07:55,620
+each of the following بدنا مشتقة كله مما يأتي نمرة
+
+75
+00:07:55,620 --> 00:08:05,820
+واحد Y تساوي E أس واحد زائد X تربية solution
+
+76
+00:08:09,320 --> 00:08:16,060
+الاشتقاق بسيط y prime يساوي ال exponential زي مهين
+
+77
+00:08:16,060 --> 00:08:22,960
+مضروبة في مين؟ في مشتقة الأس قداش مشتقة الأس؟ نقص
+
+78
+00:08:22,960 --> 00:08:32,970
+ومشتقة الأحد؟ Zero سؤال التانيY تساوي E أصين ال X
+
+79
+00:08:32,970 --> 00:08:42,390
+وكل هذا مضروب في لن X تربيع زائد واحد هذا يعتبر
+
+80
+00:08:42,390 --> 00:08:50,910
+مشتقة حاصل ضرب دالتين يبقى ال Y يساوي دالة الأولى
+
+81
+00:08:52,150 --> 00:08:57,810
+في مشتقة الدالة التانية مشتقة الان واحد على اللي
+
+82
+00:08:57,810 --> 00:09:05,130
+دخل الان في مشتقة ما دخل الان اللي هو بجداش باتنين
+
+83
+00:09:05,130 --> 00:09:11,210
+اكس الأولى مشتقة التانية الزائد التانيةفي مشتقة
+
+84
+00:09:11,210 --> 00:09:16,750
+الأول ال X بننشل زي ما هي ضرب مشتقة الأس اللي هو
+
+85
+00:09:16,750 --> 00:09:22,190
+man ب cosine ال X اختصارات مافيش خليها زي ما هي
+
+86
+00:09:22,190 --> 00:09:30,220
+واتوكل على اللهسؤال التالت بيقول لي Y تساوي تلاتة
+
+87
+00:09:30,220 --> 00:09:39,080
+logarithm للأساس تمانية لمين ل logarithm X للأساس
+
+88
+00:09:39,080 --> 00:09:43,520
+اتنين يبقى هذه مشتقة log ال log
+
+89
+00:09:48,470 --> 00:09:55,430
+وطلبنا منكم تحلوا مشتقة لن لن لن لن لن لن لن لن لن
+
+90
+00:09:55,430 --> 00:09:57,430
+لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن
+
+91
+00:09:57,430 --> 00:09:57,590
+لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن
+
+92
+00:09:57,590 --> 00:10:03,330
+لن لن لن لن لن لن لن لن لن لن لن
+
+93
+00:10:03,330 --> 00:10:03,570
+ل
+
+94
+00:10:10,500 --> 00:10:17,800
+واحد على X في لن اللي إيه؟ يبقى هذه أجتني كلها
+
+95
+00:10:17,800 --> 00:10:24,900
+اللي بين جثين كلها ده اللي كأنها U يبقى واحد على U
+
+96
+00:10:24,900 --> 00:10:32,220
+اللي هو ماني واحد على لج ال X للأساس اتنين في لن
+
+97
+00:10:32,220 --> 00:10:39,170
+التمانيةمصبوط هيك؟ في مشتقة اللي جوا ال log اللي
+
+98
+00:10:39,170 --> 00:10:43,390
+برا، يعني مشتقة ال log اللي في الداخل، مشتقة هذا
+
+99
+00:10:43,390 --> 00:10:47,870
+اللي هو 1 على X في الانتنين
+
+100
+00:10:50,010 --> 00:10:59,150
+نبسط هذا المقدار يساوي تلاتة على log X للأساس
+
+101
+00:10:59,150 --> 00:11:06,650
+اتنين لن تمانية للن اتنين تكييف يعني تلاتة في لن
+
+102
+00:11:06,650 --> 00:11:15,810
+اتنين يبقى هذا تلاتة في لن اتنينهذا واحد على اكس
+
+103
+00:11:15,810 --> 00:11:22,670
+في لن اتنين اظن تلاتة مع تلاتة طب هذا ال log x
+
+104
+00:11:22,670 --> 00:11:27,450
+للأساس اتنين مش عبارة عن لن ال X على لن اتنين يعني
+
+105
+00:11:27,450 --> 00:11:34,310
+لن اتنين بتطلع فوق يبقى بده يصير لن اتنين على لن
+
+106
+00:11:34,310 --> 00:11:42,740
+ال X هذه الأولانية بلانمينفي لن اتنين في من في اكس
+
+107
+00:11:42,740 --> 00:11:51,050
+في لن اتنينلن اتنين مع لن اتنين الله يسهل عليها
+
+108
+00:11:51,050 --> 00:11:58,370
+يبقى ضلة المسألة يساوي لن اتنين مضروبة في مين؟ في
+
+109
+00:11:58,370 --> 00:12:05,690
+X في لن ال X بس هذا المقارنة كله موجود وين؟ في
+
+110
+00:12:05,690 --> 00:12:12,130
+المقام يعني واحد على لن اتنين في X لن ال X يبقى
+
+111
+00:12:12,130 --> 00:12:21,260
+المشتقة هذه قابلةسؤال الرابع بيقول لي Y to say X
+
+112
+00:12:21,260 --> 00:12:31,200
+في خمسة أس X كله على اتنين ناقص لج ال X للأساس
+
+113
+00:12:31,200 --> 00:12:31,840
+خمسة
+
+114
+00:12:45,480 --> 00:12:53,680
+فكر طبعا هذه الدالة هي مشتقة خارج
+
+115
+00:12:53,680 --> 00:12:59,860
+قسم الدالتين يبقى هذا في calculus ايه فجينا نقول
+
+116
+00:12:59,860 --> 00:13:05,500
+مشتقة خارج قسم الدالتين والمقام في مشتقة البص ناقص
+
+117
+00:13:05,500 --> 00:13:10,960
+البص في مشتقة المقام على مربع المقام الأصلي يبقى
+
+118
+00:13:10,960 --> 00:13:12,560
+هنا solution
+
+119
+00:13:14,740 --> 00:13:24,840
+Y' تساوي المقام اتنين ناقص لج ال X للأساس خمسة في
+
+120
+00:13:24,840 --> 00:13:31,340
+مشتقة ال bus الباص خارج قص حاصل ضرب باليتين يبقى
+
+121
+00:13:31,340 --> 00:13:38,120
+الدالة الأولى مشتقة الدالة التانية خمسة كما X أس X
+
+122
+00:13:38,120 --> 00:13:43,600
+زي ما هي في لن الخمسةهي الأولى في مشتقة الدالة
+
+123
+00:13:43,600 --> 00:13:49,120
+الثانية زائد الدالة التانية في مشتقة الأولى اللي
+
+124
+00:13:49,120 --> 00:13:55,440
+هو جداش واحد صحيح لسه هذا المقام في مشتقة البصد
+
+125
+00:13:55,440 --> 00:14:05,360
+ناقص البصد اللي هو X في خمسة أس X في مشتقة المقام
+
+126
+00:14:05,820 --> 00:14:12,340
+مشتقة الاتنين بزيرو ومشتقة ال log ال X الأساس خمسة
+
+127
+00:14:12,340 --> 00:14:19,480
+بواحد على X في لن الخمسة بس بيشارات سالب السالب
+
+128
+00:14:19,480 --> 00:14:27,960
+هذا بيصير عندك ناقص واحد على X في لن الخمسة بالشكل
+
+129
+00:14:27,960 --> 00:14:35,210
+هذا كلهعلى مربع المقام الأصلي اتنين ماقص لق ال X
+
+130
+00:14:35,210 --> 00:14:41,010
+للأساس خمسة لكل كربيع لو طلعت الإشارة هادي مع هادي
+
+131
+00:14:41,010 --> 00:14:46,570
+وصارت بالموجب مافي مشكلة اختصارات مافي شيء بقى
+
+132
+00:14:46,570 --> 00:14:51,030
+بنخلي كل شيء زي ما هو بنمشي نوة ونضيع الوقت واحنا
+
+133
+00:14:51,030 --> 00:14:56,600
+بنجمع في المقدار تجميعطيب السؤال الرابع عادة هنا
+
+134
+00:14:56,600 --> 00:15:06,100
+السؤال الخامس Y تساوي تلت أس واحد أو تلتة أس واحد
+
+135
+00:15:06,100 --> 00:15:17,740
+على X تلتة أس واحد على X زائد تلتة أس تلتة X زائد
+
+136
+00:15:17,740 --> 00:15:18,260
+واحد
+
+137
+00:15:26,520 --> 00:15:31,280
+هذا مشتقت المجموعة الجابري لدالتين يبقى بيقول
+
+138
+00:15:31,280 --> 00:15:35,620
+مشتقت الدالة الأولى زائد مشتقت الدالة الثانية
+
+139
+00:15:35,620 --> 00:15:43,520
+مشتقت الدالة الأولى هي نفسها زي ما هي فاهمين؟ فلن
+
+140
+00:15:43,520 --> 00:15:49,040
+التلاتة في مشتقت الأس كدهش مشتقت واحد على اكس؟
+
+141
+00:15:56,040 --> 00:16:02,480
+بنفس التكتيك اللي اتبع مع الدالة
+
+142
+00:16:02,480 --> 00:16:08,200
+الاتانية زائد تلاتة اص تلاتة اكس زائد واحد في لن
+
+143
+00:16:08,200 --> 00:16:13,760
+التلاتة بمشتقة الاص اللي هو قداش تلاتة يبجي
+
+144
+00:16:13,760 --> 00:16:20,240
+اختصارات مافيهاش بنخليها كذلك زي ما هيسؤال السادس
+
+145
+00:16:20,240 --> 00:16:33,260
+Y تساوي تلاتة أستان ال X زائد log للأساس تلاتة
+
+146
+00:16:33,260 --> 00:16:40,580
+للجذر التالت لمين؟ لل X تكيّب زائد واحد
+
+147
+00:16:45,330 --> 00:16:50,470
+أظن يمكن تبسيط المسألة قبل إجراء عملية التفاضل
+
+148
+00:16:50,470 --> 00:16:57,110
+فبقدر أقول هذه تلاتة أستان ال X زي ما هي هذا
+
+149
+00:16:57,110 --> 00:17:05,590
+باعتبار جوز أس قداش التلف بيبقى زائد
+
+150
+00:17:05,590 --> 00:17:15,800
+تلت logarithm للأساس تلاتة لل X تكييب زائد واحدهذا
+
+151
+00:17:15,800 --> 00:17:20,080
+الحين ما نقدر نشتق بدون مشاكل يبقى هنا ال y prime
+
+152
+00:17:20,080 --> 00:17:29,560
+يساوي تلاتة أستان ال x في لن التلاتة خلصنا لسه بدك
+
+153
+00:17:29,560 --> 00:17:35,580
+تشتق من التان مشتقة التان اللي هي بستة تربيع ال x
+
+154
+00:17:35,580 --> 00:17:45,540
+زات تلت مالكش دعوةوهذه 1 على x تكيب زائد 1 في لن
+
+155
+00:17:45,540 --> 00:17:51,100
+التلاتة في مشتقة ال x تكيب ليه بالتلاتة x تربيه
+
+156
+00:17:51,100 --> 00:17:57,840
+ومشتقة الواحد بمين بزرهأذا في اختصار بنختصره تلاتة
+
+157
+00:17:57,840 --> 00:18:03,800
+أس تان ال X في لن التلاتة في سيك تربية ال X تلاتة
+
+158
+00:18:03,800 --> 00:18:08,900
+مع تلاتة الله يسهل عليها بضل عندي X تربية على X
+
+159
+00:18:08,900 --> 00:18:17,060
+تكييب زائد واحد في لن التلاتة السؤال
+
+160
+00:18:17,060 --> 00:18:23,340
+السابع بدنا Y تساوي X أس X
+
+161
+00:18:34,780 --> 00:18:40,100
+طبعا لو نظرنا لهذه الدالة بلاحظ أن الأساس متغير
+
+162
+00:18:40,100 --> 00:18:48,580
+والأس كذلك متغير تمام؟ أخدنا أمثلة قبل ذلك الأساس
+
+163
+00:18:48,580 --> 00:18:56,060
+متغير والأس متغير ال section الماضي أخدناه المرةيا
+
+164
+00:18:56,060 --> 00:18:59,040
+الله يا تاج الله أخدنا زيها وقلنا بناخد لن لأ
+
+165
+00:18:59,040 --> 00:19:03,720
+الطرفين وبعدين بنشتق، مظبوط؟ يبقى الطريقة الأولى
+
+166
+00:19:03,720 --> 00:19:08,480
+أنك تروح تاخد لن لأ الطرفين وتشتق وانا مادرسنا في
+
+167
+00:19:08,480 --> 00:19:15,540
+section 7-2، الآن 7-3 بدنا نطورك شويةبنضطر نشتغل
+
+168
+00:19:15,540 --> 00:19:19,700
+بطريقة السابعة اتنين نشتغل بطريقة اخرى و كده
+
+169
+00:19:19,700 --> 00:19:26,400
+طريقتين صحيح مافي مشكلة يبقى هذه لو حبيت احطها
+
+170
+00:19:26,400 --> 00:19:36,700
+بصيغة اخرى قلت x أس x هو تساوي e أس x في لن ال x
+
+171
+00:19:36,700 --> 00:19:44,010
+صح ولا غلطك تعالى نشوفهذا أُس جاب للن بقدر أخلي
+
+172
+00:19:44,010 --> 00:19:51,270
+أُس لمين للي جوا بيصير ايه أُس لن XO6 ليه ال لن مع
+
+173
+00:19:51,270 --> 00:19:58,750
+السلامة بضلمان XO6 يعني قعت صياغة هذه الدلة بطريقة
+
+174
+00:19:58,750 --> 00:20:04,770
+أخرى كتبتها بدللة ال exponential وماضطرتش أخد ال
+
+175
+00:20:04,770 --> 00:20:11,730
+لن زي ما كنا بنعمل في sectionسبعة اتنين يبقى هاي
+
+176
+00:20:11,730 --> 00:20:17,230
+الطريقة اخرى التنتين الطريقة تين صحيحة طيب بدأجي
+
+177
+00:20:17,230 --> 00:20:22,930
+اشتق يبقى باجي بقوله y prime يساوي مشتقة ال
+
+178
+00:20:22,930 --> 00:20:29,370
+exponential بال exponential itselfمضرب في مين؟ في
+
+179
+00:20:29,370 --> 00:20:36,630
+مشتقة الأس الأس حصل ضرب دالتين يبقى الدالة الأولى
+
+180
+00:20:36,630 --> 00:20:42,290
+في مشتقة الدالة الثانية مشتقة لإن ال X بواحد على X
+
+181
+00:20:42,290 --> 00:20:49,450
+زائد الدالة الثانية في مشتقة الأولى لهم قداش واحد
+
+182
+00:20:49,450 --> 00:20:56,290
+صحيح إذن النتيجة تساويبترجع هذه للأصل يتبعها،
+
+183
+00:20:56,290 --> 00:21:03,430
+الأصل يتبعها هو مين؟ XO6 يتجاهز XO6 هذه بتروح
+
+184
+00:21:03,430 --> 00:21:11,710
+معادي بوضع الواحد زائد لل Xإذا صرت مشتقة ال X وال6
+
+185
+00:21:11,710 --> 00:21:18,930
+هي X وال6 في 1 زائد من X يبقى هذه فريقة أخرى غير
+
+186
+00:21:18,930 --> 00:21:25,730
+تبع ال section 7-2 بناء عليه بدي أروح ل exercises
+
+187
+00:21:25,730 --> 00:21:37,170
+8Y تساوي اتنين أس X زائد واحد مرفوع للأس log X
+
+188
+00:21:37,170 --> 00:21:42,490
+للأساس اتنين يبقى
+
+189
+00:21:42,490 --> 00:21:49,090
+هذا الانجلسين متغير والأس كمانية متغير إذا يابتاخد
+
+190
+00:21:49,090 --> 00:21:53,650
+الليم للطرفين يابتروح تعمل مين الكلام اللي عملناه
+
+191
+00:21:53,650 --> 00:21:55,350
+هنا بالضبط تماما
+
+192
+00:21:58,170 --> 00:22:02,830
+يبقى بدي أحط هذه في صيغة جديدة الصيغة الجديدة وهي
+
+193
+00:22:02,830 --> 00:22:08,670
+Y تساوي E أس الـ
+
+194
+00:22:08,670 --> 00:22:18,250
+X للأساس
+
+195
+00:22:18,250 --> 00:22:27,730
+2 فلن 2 أس X زائد 1هذه ليش؟ هذه جاب لي ال len إذا
+
+196
+00:22:27,730 --> 00:22:32,750
+بقدر أخلب TGOS وE وLen عكس بعض بيصير الجوز مرفوع
+
+197
+00:22:32,750 --> 00:22:38,330
+ليه Slug هيو يبقى روحت كتبتها بشكل جديد يبقى هذا
+
+198
+00:22:38,330 --> 00:22:42,190
+التفتيك اللي عملته هنا هايا ده أنا عملته هنا تاني
+
+199
+00:22:42,190 --> 00:22:46,950
+إذا بتروح أشتق بنفس الطريقة يبقى بداجي أقوله ال Y
+
+200
+00:22:46,950 --> 00:22:52,590
+prime يسوي ال exponential زي ما هوماعنديها مشكلة
+
+201
+00:22:52,590 --> 00:23:00,250
+فاهمين؟ في لن اتنين أُس X زائد واحد في مشتقة الأُس
+
+202
+00:23:00,250 --> 00:23:05,550
+الأُس عبارة عن حاصل ضرب دالة تانية يبقى الدالة
+
+203
+00:23:05,550 --> 00:23:12,490
+الأولى في مشتقة الدالة التانية واحد على اتنين أُس
+
+204
+00:23:12,490 --> 00:23:20,610
+X زائد واحد في مشتقة مداخل اللن اللي هو بجداش2 أُس
+
+205
+00:23:20,610 --> 00:23:27,290
+X في لن 2 هذا الأولى في مشتقة الدالة الثانية زائد
+
+206
+00:23:27,290 --> 00:23:34,170
+الدالة الثانية 2 أُس X زائد 1 في مشتقة الأولى ل1
+
+207
+00:23:34,170 --> 00:23:38,310
+على X في لن 2
+
+208
+00:23:41,600 --> 00:23:46,160
+طيب يبقى هذا الكلام دي سابق دي ارجع هذه للاصل
+
+209
+00:23:46,160 --> 00:23:51,040
+بتباعها يبقى الاصل بتباعها اتنين اص اكس زائد واحد
+
+210
+00:23:51,040 --> 00:24:00,080
+اص لج الاكس للاساس اتنين في اللي هو من اتنين اص
+
+211
+00:24:00,080 --> 00:24:04,000
+اكس في الان اتنين في ال .. اه والله بتيجي فيه
+
+212
+00:24:04,000 --> 00:24:10,420
+اختصارات طب كويسبنعملها في لن اتنين هذه بقدر
+
+213
+00:24:10,420 --> 00:24:18,540
+اكتبها log ال X على من؟ على log اتنين يبجى لن ال X
+
+214
+00:24:18,540 --> 00:24:26,720
+على من؟ على لن اتنين في اتنين أُس X زائد واحد يبجى
+
+215
+00:24:26,720 --> 00:24:31,360
+هذه اتنين أُس X لن اتنين هي هذه لن ال X على لن
+
+216
+00:24:31,360 --> 00:24:37,200
+اتنين هذه الجثة نزلناها زي ما هنايبقى زائد لن
+
+217
+00:24:37,200 --> 00:24:45,120
+اتنين اص اكس زائد واحد كله مقسوما على اكس في لن
+
+218
+00:24:45,120 --> 00:24:51,580
+اتنين لن اتنين مع لن اتنين يبقى النتيجة دوري
+
+219
+00:25:13,850 --> 00:25:19,570
+سؤال التاسع تسعة
+
+220
+00:25:20,520 --> 00:25:30,860
+Y تساوي تكامل من E أس أربع جذر ال X ل E أس اتنين X
+
+221
+00:25:30,860 --> 00:25:38,760
+ل LN T DT ما
+
+222
+00:25:38,760 --> 00:25:44,640
+طلبش مني أكمل طلب أفاضل لكن لو كملت و رحت فدلت صح
+
+223
+00:25:44,640 --> 00:25:50,750
+بس حد فيكم يعرف يكمل LN T حتى هذه اللحظةطبعاً لأ،
+
+224
+00:25:50,750 --> 00:25:54,050
+لكن مرحبا بكم في الشتر الجامعي. في أول section
+
+225
+00:25:54,050 --> 00:25:59,810
+تمانية واحد، هنكامل من؟ لنا ال X DX. إذا احنا بدنا
+
+226
+00:25:59,810 --> 00:26:06,590
+نشتق اشتقاق مباشر و ليس من و ليس تكمل. إذا لو جات
+
+227
+00:26:06,590 --> 00:26:12,770
+أشتق، بدأ أقول له Y' تساوي. طبعاً هذه علاماتعلى
+
+228
+00:26:12,770 --> 00:26:16,810
+الـ Fundamental Theorem of Calculus ماعليه إلا
+
+229
+00:26:16,810 --> 00:26:21,250
+أشيل T و أضغط بدلها الدالة اللي فوق و أضغط فيه
+
+230
+00:26:21,250 --> 00:26:28,810
+مشتقة الدالة اللي فوق يبقى بصيرها دلن E أس اتنين X
+
+231
+00:26:28,810 --> 00:26:34,850
+في مشتقة الدالة اللي فوق E أس اتنين X زي ما هي في
+
+232
+00:26:34,850 --> 00:26:39,940
+اتنيناللي عملته للدل اللى فوق بيتروح تعمل لمن؟
+
+233
+00:26:39,940 --> 00:26:47,020
+للدل اللى تحت بس بإشارة سالب يبقى ناقص لان E أس
+
+234
+00:26:47,020 --> 00:26:53,740
+أربعة جذر ال X في مشتقة ال X بننشل بال X بننشل
+
+235
+00:26:53,740 --> 00:27:01,380
+نفسها ضرب مشتقة الأس أربعة وجذر ال X مشتقة واحد
+
+236
+00:27:01,380 --> 00:27:08,660
+على اتنين جذر ال Xنبسطها يبدو ايه؟ Prime تساوي
+
+237
+00:27:08,660 --> 00:27:16,560
+اتنين X في لن ال E لن ال E بقدرش؟ بواحد بصير عندك
+
+238
+00:27:16,560 --> 00:27:24,660
+اتنين X في اتنين في A أس اتنين X هذا ال term اللي
+
+239
+00:27:24,660 --> 00:27:32,570
+هوالterm التاني يبقى ناقص أربعة جذر ال X في لن ال
+
+240
+00:27:32,570 --> 00:27:39,270
+E اللي هو بواحد مع السلمة في من في E أس أربعة جذر
+
+241
+00:27:39,270 --> 00:27:48,300
+ال X على من في اتنين على جذر ال Xاختصرنا الاتنين
+
+242
+00:27:48,300 --> 00:27:52,180
+مع الأربعة بضل اتنين على جدر ال X لا يزال في
+
+243
+00:27:52,180 --> 00:27:58,220
+اختصارات جدر ال X مع جدر ال X مع السلامة يبقى بده
+
+244
+00:27:58,220 --> 00:28:07,560
+يصير عندنا اربعة X في E أس اتنين X E أس اتنين X و
+
+245
+00:28:07,560 --> 00:28:14,500
+هنا ناقص تمانية E أس اربعة جدر ال X
+
+246
+00:28:38,710 --> 00:28:48,850
+حابل ويتساول هنا قال بس يسأل يرفع يده فوق اهولا
+
+247
+00:28:48,850 --> 00:28:56,570
+واحد اللي بيعده يبقى
+
+248
+00:28:56,570 --> 00:29:01,890
+السؤال عشرة Y
+
+249
+00:29:01,890 --> 00:29:14,410
+تساوي log للأساس اتنين لل sign X على تلاتة كل هذا
+
+250
+00:29:14,410 --> 00:29:16,910
+الكلام الكل تكيب
+
+251
+00:29:26,490 --> 00:29:30,570
+أبقى هنا مافيش تبصير، بدنا نشتق مباشرة
+
+252
+00:29:42,540 --> 00:29:49,360
+يبقى هذا قوس مرفوه لأس. نقول الأس في القوس مرفوه
+
+253
+00:29:49,360 --> 00:29:54,440
+لنفس الأس، مطروح من واحد في مشتقة ما داخل القاس.
+
+254
+00:29:54,940 --> 00:30:00,500
+يبقى واحد crime تساوي هذا الأس و هذا القوس.
+
+255
+00:30:04,480 --> 00:30:09,560
+مرفوعة لنفس القص مطروح من الواحد يبقى صار تربية في
+
+256
+00:30:09,560 --> 00:30:16,100
+مشتقة مداخل القوس مداخل القوس اللي هو واحد على هذا
+
+257
+00:30:16,100 --> 00:30:20,820
+ال log ال U للأساس اتنين يبقى واحد على U في ال N
+
+258
+00:30:20,820 --> 00:30:29,400
+اتنين في DU على DX يبقى واحد على sign X على تلاتة
+
+259
+00:30:29,720 --> 00:30:36,740
+فى الـ N اتنين فى مشتقة من الـ sine اللى هو كو صين
+
+260
+00:30:36,740 --> 00:30:45,040
+X على تلاتة ضرب مشتقة الزمن اللى يبقى تلت طبعا تلت
+
+261
+00:30:45,040 --> 00:30:51,300
+مع تلاتة الله يسهل عليها يبقى صارت المسألة log
+
+262
+00:30:51,300 --> 00:30:58,160
+للأساس اتنين لصين X على تلاتة لكل تربية
+
+263
+00:31:09,570 --> 00:31:15,430
+السؤال الخامس والأخير على هذا ال section بقول
+
+264
+00:31:15,430 --> 00:31:19,730
+evaluate the following
+
+265
+00:31:28,260 --> 00:31:32,180
+أول تكامل من هذه التكاملات
+
+266
+00:31:35,260 --> 00:31:45,060
+من zero لغاية الجدري التربيعي لإن البي لإتنين X E
+
+267
+00:31:45,060 --> 00:31:53,060
+أس X تربية كوصين E أس X تربية في DX
+
+268
+00:32:01,340 --> 00:32:05,960
+طبعا اللى بشوف السؤال بالكبير هدا ايه بنخرع لكن هو
+
+269
+00:32:05,960 --> 00:32:11,600
+بسيط جدا ومافيش فيه اي اشكالية من اللى مصعب المثلة
+
+270
+00:32:11,600 --> 00:32:17,180
+او من اللى وضعها مش طبيعي في المثلة ال EO6 تربية
+
+271
+00:32:17,180 --> 00:32:20,540
+احنا بيقول cosine theta cosine X دايما مقولش
+
+272
+00:32:20,540 --> 00:32:25,340
+cosine EO6 تربية اذا هدى بدي اشيلها واحط بدلها اي
+
+273
+00:32:25,340 --> 00:32:32,870
+متغير اخرإذا لو حطيت θ تساوي E أُس X تربيع وحبيت
+
+274
+00:32:32,870 --> 00:32:40,610
+أشتقها Dθ مشتقة ال X بننشل بال X بننشل نفسها ضرب
+
+275
+00:32:40,610 --> 00:32:49,870
+مشتقة الأس اللي هو ب2X DX يبقى 2X E أُس X تربيع مع
+
+276
+00:32:49,870 --> 00:32:57,910
+ال DX هذه كلها هيبقدر أشيلها و أقبلها دي ثيتا يبقى
+
+277
+00:32:57,910 --> 00:33:06,830
+صار تكامل ل cos θ دي ثيتاحطنا تعويضة بيدغير حدود
+
+278
+00:33:06,830 --> 00:33:12,070
+التكامل طبقا للتعويضة لأن هذا الحدود للمتغير X
+
+279
+00:33:12,070 --> 00:33:17,870
+بيدشوف ما هي الحدود المناظرة للمتغير فاتا اذا
+
+280
+00:33:17,870 --> 00:33:24,970
+بيدشيل ال X وحط مكانها الجذر التربيعي لمن ال Yيبقى
+
+281
+00:33:24,970 --> 00:33:28,170
+الجدر التربيعي مع التربيع الله سبحانه وتعالى بصير
+
+282
+00:33:28,170 --> 00:33:36,250
+E أس لن ال باي ال يبقى ب باي ال سل حطها زيرو بصير
+
+283
+00:33:36,250 --> 00:33:40,250
+E أزيرو لواحد يبقى من واحد لبعض
+
+284
+00:34:04,330 --> 00:34:14,060
+تكامل الثاني نمر اتنينبعد ما تكامل E أسالب واحد
+
+285
+00:34:14,060 --> 00:34:21,380
+على X تربيع على X تكييب كله بالنسبة إلى DX
+
+286
+00:34:26,490 --> 00:34:31,730
+بارضه تجيش مباشرة في شغلة بدها تعويضها في الأول من
+
+287
+00:34:31,730 --> 00:34:36,530
+اللي وضحها مش طبيعي ايه؟ لو سالب واحد على اكس
+
+288
+00:34:36,530 --> 00:34:39,390
+ترمية احنا بقول ايه ال six دايما، مابقولش ايه سالب
+
+289
+00:34:39,390 --> 00:34:42,310
+واحد على اكس ترمية، اذا بدي اشيل سالب واحد على اكس
+
+290
+00:34:42,310 --> 00:34:47,950
+ترمية و احطها بأي متغير اخر، اذا لو حطيتي T تساوي
+
+291
+00:34:47,950 --> 00:34:54,910
+سالب واحد على اكس ترمية، يعني دي T تساوي جداكأتنين
+
+292
+00:34:54,910 --> 00:35:01,590
+على X تكييب DX يعني سالب X أث ناقص اتنين بصير
+
+293
+00:35:01,590 --> 00:35:07,130
+اتنين X أث ناقص تلاتة DX يعني اتنين على X تكييب DX
+
+294
+00:35:07,130 --> 00:35:13,250
+ماعنديش اتنينات إذا بضرب كله في نص DT بدي ساوي
+
+295
+00:35:13,250 --> 00:35:18,570
+واحد على X تكييب DX واحد على X تكييب DX اللي بدي
+
+296
+00:35:18,570 --> 00:35:25,030
+أشيله و أكتب بالهم نص DTيبقى هاي النص برا و تكامل
+
+297
+00:35:25,030 --> 00:35:31,510
+E أس T D T ولا بسيط ولا حاجة تكامل ال X بننشل بال
+
+298
+00:35:31,510 --> 00:35:36,590
+X بننشل itself زائد constant C بنشيل ال T و
+
+299
+00:35:36,590 --> 00:35:42,370
+بنكتبها بدلالة X يبقى نص E أس ماقص واحد على X
+
+300
+00:35:42,370 --> 00:35:47,730
+ترمية زائد constant C example 3
+
+301
+00:35:50,410 --> 00:35:59,670
+بيقول لي بدي تكامل واحد زائد ايه؟ أس كتان ال X كل
+
+302
+00:35:59,670 --> 00:36:05,810
+هذا في كسيكن تربيع ال X في ال DX
+
+303
+00:36:09,280 --> 00:36:15,160
+هتطلع على الدالة هذه وشوف لإيش الصعوبة فيها، يعني
+
+304
+00:36:15,160 --> 00:36:19,540
+وين الصعوبة في هذه المسألة أو مين اللي وضعها مش
+
+305
+00:36:19,540 --> 00:36:25,640
+طبيعي، عشان نتخلص منها ونحطها بمتغير جديد ونحول
+
+306
+00:36:25,640 --> 00:36:30,400
+مسألتنا كلها بدلالة هذا المتغير الجديد
+
+307
+00:36:32,820 --> 00:36:36,240
+نهيت أن تفضل كتان كتان كتان كتان كتان كتان كتان
+
+308
+00:36:36,240 --> 00:36:36,400
+كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان
+
+309
+00:36:36,400 --> 00:36:41,080
+كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان
+
+310
+00:36:41,080 --> 00:36:48,400
+كتان كتان كتان كتان كتان
+
+311
+00:36:48,400 --> 00:36:52,960
+كتان كتان
+
+312
+00:36:53,960 --> 00:37:03,580
+سالب DY يبقى هذا السالب برا ويتكامل 1 زائد E أس Y
+
+313
+00:37:03,580 --> 00:37:13,640
+في الـ DYبسيطة يبقى ناقص y ناقص e أس y زائد
+
+314
+00:37:13,640 --> 00:37:19,040
+constant c الواحد تكمله ب y و ال e أس y ب e أس y و
+
+315
+00:37:19,040 --> 00:37:23,740
+السلف دخلته على الاتنين و أضافنا زائد constant c
+
+316
+00:37:23,740 --> 00:37:28,460
+يبقى هذا الكلام يساوي النقص بدنا نشيل ال y و نحط
+
+317
+00:37:28,460 --> 00:37:30,060
+بدل قيمة الهمين
+
+318
+00:37:41,260 --> 00:37:47,560
+سؤال الرابع بيقول
+
+319
+00:37:47,560 --> 00:37:48,960
+يبدوا تكامل
+
+320
+00:37:53,300 --> 00:38:02,260
+سؤال الرابع يبدو تكامل E أس اتنين X على E أس X
+
+321
+00:38:02,260 --> 00:38:08,100
+ناقص واحد DX يلا
+
+322
+00:38:08,100 --> 00:38:16,100
+اختاروا علينا نشوف كيف نعمل في هذا السؤال اللي
+
+323
+00:38:16,100 --> 00:38:20,720
+فوق E أس اتنين X و اللي تحت E أس X ناقص واحد
+
+324
+00:38:23,790 --> 00:38:29,210
+أيش بتقترحوا؟ مين اللي بيعطي الصحوبة للبسله؟ لأ
+
+325
+00:38:29,210 --> 00:38:34,110
+بدي اللي بيعرف يرفع عيده فوق، ايه؟ فبطل حينك و
+
+326
+00:38:34,110 --> 00:38:39,750
+خلاص فكر، بطل يعرف، اه اقول يا ابن ايه؟عفر ال EOX
+
+327
+00:38:39,750 --> 00:38:46,650
+بقدرش؟ بواي يعني بدي تحط ال EO6 بمتغير جديد فاهم
+
+328
+00:38:46,650 --> 00:38:51,890
+يعني؟ بدي يصير عندك EO6 في EO6 يعني بصير Y تربيع
+
+329
+00:38:51,890 --> 00:38:58,870
+على Y ناقص واحد كلهم صح، بس في عندي أسهل من هيك
+
+330
+00:39:01,250 --> 00:39:05,330
+المقام كله بدي أشيله و أحطه بمتغير جديد وبالتالي
+
+331
+00:39:05,330 --> 00:39:09,350
+الكلام منطقي بس هلأ شوف ايش اللي بصير هذه بقدر
+
+332
+00:39:09,350 --> 00:39:16,810
+اكتبها تكامل E أس X في E أس X على E أس X ناقص واحد
+
+333
+00:39:16,810 --> 00:39:23,710
+في DX بهذا الشكل تمام؟يبقى بداية اقوله حط ال T
+
+334
+00:39:23,710 --> 00:39:29,010
+تساوي E of C T و ال E of C اسمه اكتر اكتر بقالة T
+
+335
+00:39:29,010 --> 00:39:36,410
+زائد ال واحد يبقى بصير تكامل ل T زائد ال واحد و
+
+336
+00:39:36,410 --> 00:39:43,530
+المقام كله حطيته ب T و هذا ضال عندي قداش DTأو
+
+337
+00:39:43,530 --> 00:39:48,470
+بمعنى آخر هو integration ل T على T التي هي بواحد
+
+338
+00:39:48,470 --> 00:39:53,650
+زائد واحد على T كله بالنسبة الى DT
+
+339
+00:39:58,260 --> 00:40:04,340
+تكمل الواحد هو ب T و تكمل واحد على T لن absolute
+
+340
+00:40:04,340 --> 00:40:10,160
+value ل T زائد constant C يبقى هذا الكلام
+
+341
+00:40:10,160 --> 00:40:16,720
+بالدرساوي T عمنا فرضه بمان ب EO6 ناقص واحد يبقى
+
+342
+00:40:16,720 --> 00:40:25,260
+EO6 ناقص واحد زائد لن لل EO6 ناقص واحد زائد
+
+343
+00:40:25,260 --> 00:40:31,970
+constant Cطلع لي لو كان هذا السؤال في الكتاب و
+
+344
+00:40:31,970 --> 00:40:35,610
+روحنا نشوف إجابته كان فيه إجابة بالكتاب بلّا جهاش
+
+345
+00:40:35,610 --> 00:40:39,150
+بالشك اللي عندنا أنا بتروح تقولي انت و الله حالي
+
+346
+00:40:39,150 --> 00:40:43,410
+غلط، بقولك لأ حالك صح مائة بالمائة، لكن هذا هاها
+
+347
+00:40:44,370 --> 00:40:48,670
+وهذا اتنين كل استنث يبقى ايش ده اقول اتنين كل
+
+348
+00:40:48,670 --> 00:40:52,010
+استنث و بيكفنه كل استنث واحد يبقى بشيل اتنين مكان
+
+349
+00:40:52,010 --> 00:40:57,410
+بعض مع بعض و بحط بدل ما كل استنث واحد يبقى الجواب
+
+350
+00:40:57,410 --> 00:41:05,700
+يسوي 6زائد لن absolute value of EO6-1 زائد كمصطند
+
+351
+00:41:05,700 --> 00:41:12,900
+C1 والـ C1 بدّي يساوي C-1 يبقى لو روحت على الكتاب
+
+352
+00:41:12,900 --> 00:41:18,080
+بتلاقي الإجابة هذه وبتلاقيش الإجابة اللي منها أوفر
+
+353
+00:41:18,080 --> 00:41:25,790
+حاجة بدي أسألك سؤال؟عطيك سؤال مشابه بس بفكرة أحلى
+
+354
+00:41:25,790 --> 00:41:34,210
+شوية كمان يبقى هاي سؤال خمسة بدنا تكامل لمين لواحد
+
+355
+00:41:34,210 --> 00:41:41,130
+على واحد زائد ديو سيكس دي إكس يالا
+
+356
+00:41:41,130 --> 00:41:45,950
+فكر فيه واقترح علينا كيف نحل هذا السؤال
+
+357
+00:41:55,720 --> 00:41:59,820
+هي يا شباب نضرب
+
+358
+00:41:59,820 --> 00:42:05,660
+E Os X علي E Os X بس أنا عندي E Os X علي E Os X زي
+
+359
+00:42:05,660 --> 00:42:13,560
+E Os 2X ايش استفدنا منها فكرته صح بس انا بتصليح
+
+360
+00:42:13,560 --> 00:42:18,920
+حاله بدل ما تضرب في E Os X هضرب في E Os ناقص X و
+
+361
+00:42:18,920 --> 00:42:23,300
+اجسم علي E Os ناقص Xكأنني ضرب في جداش في واحد صحيح
+
+362
+00:42:23,300 --> 00:42:29,480
+هذه بتحل الإشكالية كيف لو روحت ضربت في E أس سالب X
+
+363
+00:42:29,480 --> 00:42:34,400
+و بسمت على E أس سالب X يبقى كأنني ضرب في جداش في
+
+364
+00:42:34,400 --> 00:42:39,600
+واحد صحيح يبقى هذه بصير integration ل E أس سالب X
+
+365
+00:42:39,600 --> 00:42:45,400
+في DX على ال E أس سالب X E أس X في E أس سالب X و E
+
+366
+00:42:45,400 --> 00:42:52,210
+أس Zero في جداش بواحدطب هل ال bus هو تفاضل المقام؟
+
+367
+00:42:52,210 --> 00:42:57,810
+بس بده إشارة قداش؟ سالب، لو في إشارة سالب في ال
+
+368
+00:42:57,810 --> 00:43:02,790
+bus ما أصبح ال bus هو مشتقة المقام، يقولك بسيطة
+
+369
+00:43:02,790 --> 00:43:09,250
+هاي سالب برا وهاي سالب جوا على إيه السلب X زائد
+
+370
+00:43:09,250 --> 00:43:15,490
+واحد في الدرجة X على ال bus هو مشتقة؟المقام يبقى
+
+371
+00:43:15,490 --> 00:43:23,390
+سالب لل absolute value لل EOS نقص 6 زي 1 زي
+
+372
+00:43:23,390 --> 00:43:30,380
+constant C هل ضروري اكتب ال absolute value هذا؟ليس
+
+373
+00:43:30,380 --> 00:43:34,240
+بسبب هو ال exponential موجب زائد واحد يبقى قيمة
+
+374
+00:43:34,240 --> 00:43:38,440
+موجبة كتبت ال absolute والله ما كتبتوش مافيش مشكلة
+
+375
+00:43:38,440 --> 00:43:43,240
+واحد تاني فكر في نفسي المسألة بطريقة أخرى راح قال
+
+376
+00:43:43,240 --> 00:43:44,700
+another solution
+
+377
+00:43:48,520 --> 00:43:53,180
+قلنا له أيها قال بدل ما ضربت و قسمت انا لأ لابد
+
+378
+00:43:53,180 --> 00:43:56,980
+يضرب ولا بدي اقسم بدي اضيف و اطرح بدي اخد
+
+379
+00:43:56,980 --> 00:44:01,280
+العمليتين الجبريتين الأخرين ضربوا جسم مابديش بدي
+
+380
+00:44:01,280 --> 00:44:06,260
+اخد جامعة و اطرح بقول له أيها قال المسألة هذهها هي
+
+381
+00:44:06,260 --> 00:44:15,090
+تكامل واحد على واحد زائد EOS6قال لي بدي أضيف EO6 و
+
+382
+00:44:15,090 --> 00:44:22,570
+أطرح EO6 قلنا له مافيش مشكلة قال لي زائد EO6 ناقص
+
+383
+00:44:22,570 --> 00:44:28,620
+EO6 كله في DX قلنا له و الله تمامجالي هذا كله
+
+384
+00:44:28,620 --> 00:44:34,140
+بالدقة و ككتلة واحدة على هذا بجد ايش؟ واحد، يبقى
+
+385
+00:44:34,140 --> 00:44:39,560
+واحد، ناقص، هذه على هذه، هذا ايه والسكس على واحد
+
+386
+00:44:39,560 --> 00:44:46,000
+زائد ايه والسكس كله في dx، مظبوط هكذا؟ قلنا له
+
+387
+00:44:46,000 --> 00:44:51,440
+تمام تمام، جابت كم للواحد؟ باكس، البسطى فاجل
+
+388
+00:44:51,440 --> 00:44:59,610
+المقام؟صح ولا لأ؟ يبقى لان واحد زائد EO6 زائد
+
+389
+00:44:59,610 --> 00:45:04,430
+كونستانسيوم ما كتبتش absolutely لأن هذا موجب باق
+
+390
+00:45:04,430 --> 00:45:09,930
+منهم، بيطلع، بيقولي طب الجواب هذا مش زي هذابنقول
+
+391
+00:45:09,930 --> 00:45:14,490
+لك بسيطة تقدر تحوّل هذه الجواب إلى من؟ الإجابة هذه
+
+392
+00:45:14,490 --> 00:45:21,130
+كيف؟ good exercise لك تروح تكتب ليها توصلي الإجابة
+
+393
+00:45:21,130 --> 00:45:26,110
+هذه للإجابة هذه بتقولي هذه ناقص لين وتوصي اتفاق
+
+394
+00:45:26,110 --> 00:45:32,190
+ناحنا وياك انه لا داعي لل absolute value واحد عليه
+
+395
+00:45:32,190 --> 00:45:39,510
+ال six زائد واحد زائد constant Cأو يساوي ناقص لن
+
+396
+00:45:39,510 --> 00:45:45,410
+واحد زائد EO6 كله على EO6 زائد من constant C
+
+397
+00:45:45,410 --> 00:45:49,910
+واتروح تكمل لن البسط ناقص لن المقام مع ناقص بشيء
+
+398
+00:45:49,910 --> 00:45:54,370
+زائد و لن المقام ب X هيها طلعت و بضر ناقص لن البسط
+
+399
+00:45:54,370 --> 00:46:06,290
+يالا كملها بسهولة قبليني لسؤال السادس ستةتكامل P
+
+400
+00:46:06,290 --> 00:46:18,350
+أوسك X عالمين على cosine X في كوتان X بالنسبة الى
+
+401
+00:46:18,350 --> 00:46:22,310
+DX فكر
+
+402
+00:46:22,310 --> 00:46:26,890
+برضه شو بدنا نعمل في هذا السؤال مشان نقدر نقومله
+
+403
+00:46:26,890 --> 00:46:37,380
+بعملية ايه التكامل برضه نفس الطريقةهل يمكن كتابة
+
+404
+00:46:37,380 --> 00:46:42,540
+السؤال بطريقة أخرى يعني بدّيش اي حاجة اللي قامت ده
+
+405
+00:46:42,540 --> 00:46:50,660
+خلّيها كلها في البصر يعني هذا بقدر أقول تكامل E أو
+
+406
+00:46:50,660 --> 00:46:58,220
+سك ال X فيه واحد عكسان الهدمان بسك يبقى هذا سك ال
+
+407
+00:46:58,220 --> 00:47:06,580
+X واحد عكتان الهدمان بتان ال X DXمشكلة مع من؟ مع
+
+408
+00:47:06,580 --> 00:47:15,100
+سك يبقى لو حطينا ال U تساوي سك ال X يبقى DU بسك ال
+
+409
+00:47:15,100 --> 00:47:20,980
+X في تاني ال X في DX إذا بقدر أشيل هذا كله و أكتر
+
+410
+00:47:20,980 --> 00:47:27,620
+بدالة من DU يبقى سارة كامل A O C U DU
+
+411
+00:47:39,940 --> 00:47:45,520
+سؤال السابع بدنا
+
+412
+00:47:45,520 --> 00:47:58,210
+تكامللدي x على x في log ال x للأساس تمانية لكل
+
+413
+00:47:58,210 --> 00:47:59,510
+تربيع
+
+414
+00:48:04,980 --> 00:48:10,020
+لوك في التكامل يعني مش درجة معانا كتير لكن بقدر
+
+415
+00:48:10,020 --> 00:48:17,480
+اكتبه بدلالة main لن يبقى هذا integration ل dx على
+
+416
+00:48:17,480 --> 00:48:25,440
+x لن ال x الكل ترابيع على لن تمانية الكل ترابيع
+
+417
+00:48:26,190 --> 00:48:32,470
+يعني لن ال X على لن تمانية لكل تربيع هذا الكلام
+
+418
+00:48:32,470 --> 00:48:37,990
+بده يساوي اظن هذا الكاسر لن تمانية لكل تربيع بطلع
+
+419
+00:48:37,990 --> 00:48:44,970
+فوق وبقدر اخد مين برا التكامل يبجى لن تمانية لكل
+
+420
+00:48:44,970 --> 00:48:55,840
+تربيع في تكامل لدي X على X في لن ال X لكل تربيعلن
+
+421
+00:48:55,840 --> 00:49:02,440
+ثمانية لتنين تكييب، يعني تلاتة لن اتنين يساوي
+
+422
+00:49:02,440 --> 00:49:10,360
+تلاتة لن اتنين الكل تربيع، في تكامل هذا كمان واضح
+
+423
+00:49:10,360 --> 00:49:16,180
+مش عاجبني، ايش رأيك هذه كلها؟ دي X على X، أليست
+
+424
+00:49:16,180 --> 00:49:23,700
+مشتقة لن ال X؟يبقى بقدر اكتب هذه مشتقة لن الاكس
+
+425
+00:49:23,700 --> 00:49:29,140
+على لن الاكس لكل ترفيع عملتها لكوا في كالكلصية
+
+426
+00:49:29,140 --> 00:49:34,200
+صحيح ولا لأ يبقى نفس التكتيك خايف تغلط شيل لن
+
+427
+00:49:34,200 --> 00:49:39,140
+الاكس وحطه بأي متغيّريبقى أشيل لن ال X و أضعه بأي
+
+428
+00:49:39,140 --> 00:49:45,360
+متغير على طول الخط يعني بدك تضع لي W تساوي لن ال X
+
+429
+00:49:45,360 --> 00:49:50,880
+يبقى DW بواحد على X DX ماعناه مشكلة يبقى بصيها دي
+
+430
+00:49:50,880 --> 00:49:56,310
+DW على W تربيةصحيح ولا لأ؟ يبقى هذا الكلام بدي
+
+431
+00:49:56,310 --> 00:50:03,370
+ساوي تسعة لن اتنين لكل تربيع مشتقت هذا المقدار
+
+432
+00:50:03,370 --> 00:50:13,050
+سالب واحد على لن ال X زائد constant C خلاص؟
+
+433
+00:50:14,450 --> 00:50:18,450
+حد اللي له التساول هنا؟ اختصارات مافيش بيخليها
+
+434
+00:50:18,450 --> 00:50:24,190
+زميل، لا يزال ان بدل التتامل تلاتة للمرة القادمة
+
+435
+00:50:24,190 --> 00:50:25,930
+ان شاء الله تعالى
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xo7EvNzKzsM_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xo7EvNzKzsM_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ac8295ffb3bbcb5aceb2423b300161c6b358f5a4
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xo7EvNzKzsM_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 268, "start": 0.0, "end": 2.68, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3717447817325592, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.0029811859130859375, "words": [{"start": 0.0, "end": 2.68, "word": "موسيقى", "probability": 0.7352294921875}], "temperature": 1.0}, {"id": 2, "seek": 3797, "start": 10.75, "end": 37.97, "text": "بسم الله الرحمن الرحيم الآن بنكمل على الأمثل التي ابتدأنا فيها في المرة الماضية واخذنا على ذلك مثالين مثال الأول تبسيط المقدار والمثال الثاني كان إيجاد ال domain لدالة ما وشوفنا كيف نتخلص في هذا المثال من ال exponential ونحصل على ال interval اللي دال عليها معرفة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 6024, 48506, 44945, 24793, 1211, 15844, 16247, 2304, 12984, 1211, 38392, 48127, 2655, 3215, 10721, 8315, 8978, 11296, 8978, 9673, 25720, 9673, 46958, 10632, 4032, 47283, 8848, 8315, 15844, 29910, 23275, 50113, 6027, 9957, 50113, 6027, 16247, 12610, 6055, 3555, 3794, 1829, 9566, 9673, 28543, 9640, 16070, 2304, 12984, 6027, 6024, 104, 7649, 1829, 25961, 11933, 1829, 7435, 18513, 2423, 9274, 5296, 3215, 6027, 3660, 19446, 4032, 8592, 38688, 8315, 9122, 33911, 8717, 2655, 9778, 1211, 9381, 8978, 23758, 9673, 12984, 6027, 9154, 2423, 21510, 4032, 1863, 5016, 36520, 15844, 2423, 15035, 13672, 1829, 11778, 6027, 25894, 11296, 20449, 28480, 3660], "avg_logprob": -0.12626689699319033, "compression_ratio": 1.8266129032258065, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 10.75, "end": 11.05, "word": "بسم", "probability": 0.888671875}, {"start": 11.05, "end": 11.23, "word": " الله", "probability": 0.9677734375}, {"start": 11.23, "end": 11.61, "word": " الرحمن", "probability": 0.9568684895833334}, {"start": 11.61, "end": 12.19, "word": " الرحيم", "probability": 0.9928385416666666}, {"start": 12.19, "end": 13.41, "word": " الآن", "probability": 0.57666015625}, {"start": 13.41, "end": 14.23, "word": " بنكمل", "probability": 0.7701009114583334}, {"start": 14.23, "end": 14.59, "word": " على", "probability": 0.89013671875}, {"start": 14.59, "end": 14.99, "word": " الأمثل", "probability": 0.8717041015625}, {"start": 14.99, "end": 15.25, "word": " التي", "probability": 0.455322265625}, {"start": 15.25, "end": 15.85, "word": " ابتدأنا", "probability": 0.89765625}, {"start": 15.85, "end": 16.15, "word": " فيها", "probability": 0.812255859375}, {"start": 16.15, "end": 16.27, "word": " في", "probability": 0.82275390625}, {"start": 16.27, "end": 16.65, "word": " المرة", "probability": 0.98583984375}, {"start": 16.65, "end": 17.37, "word": " الماضية", "probability": 0.9954427083333334}, {"start": 17.37, "end": 18.63, "word": " واخذنا", "probability": 0.9266357421875}, {"start": 18.63, "end": 18.91, "word": " على", "probability": 0.8935546875}, {"start": 18.91, "end": 19.69, "word": " ذلك", "probability": 0.990234375}, {"start": 19.69, "end": 20.95, "word": " مثالين", "probability": 0.9793294270833334}, {"start": 20.95, "end": 21.59, "word": " مثال", "probability": 0.8876953125}, {"start": 21.59, "end": 22.03, "word": " الأول", "probability": 0.931640625}, {"start": 22.03, "end": 22.79, "word": " تبسيط", "probability": 0.905078125}, {"start": 22.79, "end": 23.53, "word": " المقدار", "probability": 0.9049479166666666}, {"start": 23.53, "end": 24.47, "word": " والمثال", "probability": 0.888427734375}, {"start": 24.47, "end": 24.99, "word": " الثاني", "probability": 0.9688720703125}, {"start": 24.99, "end": 25.33, "word": " كان", "probability": 0.97607421875}, {"start": 25.33, "end": 25.77, "word": " إيجاد", "probability": 0.955078125}, {"start": 25.77, "end": 25.95, "word": " ال", "probability": 0.91650390625}, {"start": 25.95, "end": 26.43, "word": " domain", "probability": 0.98046875}, {"start": 26.43, "end": 27.69, "word": " لدالة", "probability": 0.9879150390625}, {"start": 27.69, "end": 28.25, "word": " ما", "probability": 0.81982421875}, {"start": 28.25, "end": 30.05, "word": " وشوفنا", "probability": 0.87744140625}, {"start": 30.05, "end": 30.35, "word": " كيف", "probability": 0.982421875}, {"start": 30.35, "end": 31.11, "word": " نتخلص", "probability": 0.879248046875}, {"start": 31.11, "end": 31.25, "word": " في", "probability": 0.9091796875}, {"start": 31.25, "end": 31.45, "word": " هذا", "probability": 0.94384765625}, {"start": 31.45, "end": 32.03, "word": " المثال", "probability": 0.9767252604166666}, {"start": 32.03, "end": 32.23, "word": " من", "probability": 0.9873046875}, {"start": 32.23, "end": 32.37, "word": " ال", "probability": 0.85302734375}, {"start": 32.37, "end": 33.05, "word": " exponential", "probability": 0.90673828125}, {"start": 33.05, "end": 34.93, "word": " ونحصل", "probability": 0.8590087890625}, {"start": 34.93, "end": 35.17, "word": " على", "probability": 0.94189453125}, {"start": 35.17, "end": 35.35, "word": " ال", "probability": 0.982421875}, {"start": 35.35, "end": 35.97, "word": " interval", "probability": 0.962890625}, {"start": 35.97, "end": 36.23, "word": " اللي", "probability": 0.79736328125}, {"start": 36.23, "end": 36.59, "word": " دال", "probability": 0.6055908203125}, {"start": 36.59, "end": 37.23, "word": " عليها", "probability": 0.9501953125}, {"start": 37.23, "end": 37.97, "word": " معرفة", "probability": 0.9405924479166666}], "temperature": 1.0}, {"id": 3, "seek": 4633, "start": 38.49, "end": 46.33, "text": "بننتقل الى المثال الثالث و هنقسمه كمان الى نقطتين النقطة الأولى بيقول soul for why", "tokens": [3555, 1863, 29399, 4587, 1211, 2423, 7578, 9673, 12984, 6027, 6024, 104, 6027, 12984, 4032, 8032, 1863, 4587, 38251, 3224, 9122, 2304, 7649, 2423, 7578, 8717, 47432, 2655, 9957, 28239, 47432, 3660, 16247, 12610, 7578, 4724, 1829, 39648, 5133, 337, 983], "avg_logprob": -0.32849701600415365, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 38.49, "end": 39.23, "word": "بننتقل", "probability": 0.7074951171875}, {"start": 39.23, "end": 39.41, "word": " الى", "probability": 0.718017578125}, {"start": 39.41, "end": 39.89, "word": " المثال", "probability": 0.8876953125}, {"start": 39.89, "end": 40.43, "word": " الثالث", "probability": 0.9224853515625}, {"start": 40.43, "end": 40.51, "word": " و", "probability": 0.258544921875}, {"start": 40.51, "end": 41.13, "word": " هنقسمه", "probability": 0.7318359375}, {"start": 41.13, "end": 41.53, "word": " كمان", "probability": 0.7701822916666666}, {"start": 41.53, "end": 41.95, "word": " الى", "probability": 0.845703125}, {"start": 41.95, "end": 42.71, "word": " نقطتين", "probability": 0.865234375}, {"start": 42.71, "end": 43.67, "word": " النقطة", "probability": 0.9075520833333334}, {"start": 43.67, "end": 43.97, "word": " الأولى", "probability": 0.8876953125}, {"start": 43.97, "end": 44.23, "word": " بيقول", "probability": 0.8008626302083334}, {"start": 44.23, "end": 44.93, "word": " soul", "probability": 0.3359375}, {"start": 44.93, "end": 45.79, "word": " for", "probability": 0.55517578125}, {"start": 45.79, "end": 46.33, "word": " why", "probability": 0.355712890625}], "temperature": 1.0}, {"id": 4, "seek": 6872, "start": 46.66, "end": 68.72, "text": "يعني حل المسألة بالنسبة لي Y يعني بيجي تخلي لي Y في شجة او في جهة و الباقي كله في جهتين اخرى يعني هاتلي قيمة Y بدلالة من؟ بدلالة X نعطينا المثلة M اتنين اص Y ناقص واحد زائد لن اتنين بيجي يسوي X زائد لن اتنين X", "tokens": [40228, 22653, 11331, 1211, 9673, 3794, 10721, 37977, 20666, 1863, 35457, 3660, 32239, 398, 37495, 22653, 4724, 1829, 7435, 1829, 6055, 9778, 20292, 32239, 398, 8978, 13412, 7435, 3660, 1975, 2407, 8978, 10874, 3224, 3660, 4032, 29739, 995, 38436, 28242, 3224, 8978, 10874, 3224, 2655, 9957, 1975, 34740, 7578, 37495, 22653, 8032, 9307, 20292, 12174, 32640, 3660, 398, 47525, 1211, 6027, 3660, 9154, 22807, 47525, 1211, 6027, 3660, 1783, 8717, 3615, 9566, 1829, 8315, 9673, 12984, 37977, 376, 1975, 2655, 1863, 9957, 1975, 9381, 398, 8717, 995, 4587, 9381, 36764, 24401, 30767, 16373, 3215, 5296, 1863, 1975, 2655, 1863, 9957, 4724, 1829, 7435, 1829, 7251, 3794, 45865, 1783, 30767, 16373, 3215, 5296, 1863, 1975, 2655, 1863, 9957, 1783], "avg_logprob": -0.2563025330295082, "compression_ratio": 1.9728260869565217, "no_speech_prob": 0.0, "words": [{"start": 46.66, "end": 47.1, "word": "يعني", "probability": 0.534912109375}, {"start": 47.1, "end": 47.54, "word": " حل", "probability": 0.6392822265625}, {"start": 47.54, "end": 48.16, "word": " المسألة", "probability": 0.77325439453125}, {"start": 48.16, "end": 48.72, "word": " بالنسبة", "probability": 0.974609375}, {"start": 48.72, "end": 48.86, "word": " لي", "probability": 0.2406005859375}, {"start": 48.86, "end": 49.16, "word": " Y", "probability": 0.73583984375}, {"start": 49.16, "end": 49.44, "word": " يعني", "probability": 0.759521484375}, {"start": 49.44, "end": 49.68, "word": " بيجي", "probability": 0.490081787109375}, {"start": 49.68, "end": 50.18, "word": " تخلي", "probability": 0.7822265625}, {"start": 50.18, "end": 50.36, "word": " لي", "probability": 0.46826171875}, {"start": 50.36, "end": 50.74, "word": " Y", "probability": 0.80078125}, {"start": 50.74, "end": 51.18, "word": " في", "probability": 0.94287109375}, {"start": 51.18, "end": 51.94, "word": " شجة", "probability": 0.9098307291666666}, {"start": 51.94, "end": 52.1, "word": " او", "probability": 0.749755859375}, {"start": 52.1, "end": 52.26, "word": " في", "probability": 0.904296875}, {"start": 52.26, "end": 52.7, "word": " جهة", "probability": 0.9807942708333334}, {"start": 52.7, "end": 53.1, "word": " و", "probability": 0.5986328125}, {"start": 53.1, "end": 53.54, "word": " الباقي", "probability": 0.82275390625}, {"start": 53.54, "end": 53.96, "word": " كله", "probability": 0.962890625}, {"start": 53.96, "end": 54.22, "word": " في", "probability": 0.96826171875}, {"start": 54.22, "end": 54.96, "word": " جهتين", "probability": 0.855712890625}, {"start": 54.96, "end": 55.64, "word": " اخرى", "probability": 0.86279296875}, {"start": 55.64, "end": 56.24, "word": " يعني", "probability": 0.900634765625}, {"start": 56.24, "end": 56.72, "word": " هاتلي", "probability": 0.8225911458333334}, {"start": 56.72, "end": 57.38, "word": " قيمة", "probability": 0.990234375}, {"start": 57.38, "end": 57.82, "word": " Y", "probability": 0.9658203125}, {"start": 57.82, "end": 58.56, "word": " بدلالة", "probability": 0.9072265625}, {"start": 58.56, "end": 59.16, "word": " من؟", "probability": 0.4453125}, {"start": 59.16, "end": 60.18, "word": " بدلالة", "probability": 0.9801025390625}, {"start": 60.18, "end": 60.44, "word": " X", "probability": 0.90673828125}, {"start": 60.44, "end": 60.98, "word": " نعطينا", "probability": 0.808447265625}, {"start": 60.98, "end": 61.52, "word": " المثلة", "probability": 0.72314453125}, {"start": 61.52, "end": 62.02, "word": " M", "probability": 0.5419921875}, {"start": 62.02, "end": 63.14, "word": " اتنين", "probability": 0.790008544921875}, {"start": 63.14, "end": 63.46, "word": " اص", "probability": 0.64599609375}, {"start": 63.46, "end": 63.7, "word": " Y", "probability": 0.356689453125}, {"start": 63.7, "end": 64.18, "word": " ناقص", "probability": 0.9842529296875}, {"start": 64.18, "end": 64.52, "word": " واحد", "probability": 0.985595703125}, {"start": 64.52, "end": 64.92, "word": " زائد", "probability": 0.8427734375}, {"start": 64.92, "end": 65.14, "word": " لن", "probability": 0.684326171875}, {"start": 65.14, "end": 65.5, "word": " اتنين", "probability": 0.98486328125}, {"start": 65.5, "end": 65.8, "word": " بيجي", "probability": 0.78240966796875}, {"start": 65.8, "end": 66.16, "word": " يسوي", "probability": 0.6134440104166666}, {"start": 66.16, "end": 66.46, "word": " X", "probability": 0.9560546875}, {"start": 66.46, "end": 66.9, "word": " زائد", "probability": 0.96484375}, {"start": 66.9, "end": 67.26, "word": " لن", "probability": 0.980712890625}, {"start": 67.26, "end": 68.3, "word": " اتنين", "probability": 0.99072265625}, {"start": 68.3, "end": 68.72, "word": " X", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 5, "seek": 8352, "start": 69.42, "end": 83.52, "text": "بنا قيمة Y يبقى بالدخل اللي فيها Y في جهة و الباقي بيوديه كله في جهة أخرى يبقى هنا بقى بقول solution", "tokens": [3555, 1863, 995, 12174, 32640, 3660, 398, 7251, 3555, 4587, 7578, 20666, 3215, 9778, 1211, 13672, 1829, 8978, 11296, 398, 8978, 10874, 3224, 3660, 4032, 29739, 995, 38436, 4724, 1829, 23328, 1829, 3224, 28242, 3224, 8978, 10874, 3224, 3660, 5551, 34740, 7578, 7251, 3555, 4587, 7578, 34105, 4724, 4587, 7578, 4724, 39648, 3827], "avg_logprob": -0.3330439930712735, "compression_ratio": 1.4201680672268908, "no_speech_prob": 0.0, "words": [{"start": 69.42, "end": 70.12, "word": "بنا", "probability": 0.3186442057291667}, {"start": 70.12, "end": 70.74, "word": " قيمة", "probability": 0.982421875}, {"start": 70.74, "end": 70.96, "word": " Y", "probability": 0.54443359375}, {"start": 70.96, "end": 71.24, "word": " يبقى", "probability": 0.740997314453125}, {"start": 71.24, "end": 71.84, "word": " بالدخل", "probability": 0.71905517578125}, {"start": 71.84, "end": 72.06, "word": " اللي", "probability": 0.828369140625}, {"start": 72.06, "end": 72.32, "word": " فيها", "probability": 0.9423828125}, {"start": 72.32, "end": 72.6, "word": " Y", "probability": 0.83251953125}, {"start": 72.6, "end": 72.82, "word": " في", "probability": 0.951171875}, {"start": 72.82, "end": 73.24, "word": " جهة", "probability": 0.9529622395833334}, {"start": 73.24, "end": 73.36, "word": " و", "probability": 0.7646484375}, {"start": 73.36, "end": 73.8, "word": " الباقي", "probability": 0.7166341145833334}, {"start": 73.8, "end": 74.46, "word": " بيوديه", "probability": 0.601513671875}, {"start": 74.46, "end": 74.84, "word": " كله", "probability": 0.814208984375}, {"start": 74.84, "end": 75.06, "word": " في", "probability": 0.9677734375}, {"start": 75.06, "end": 75.68, "word": " جهة", "probability": 0.990234375}, {"start": 75.68, "end": 77.36, "word": " أخرى", "probability": 0.8592122395833334}, {"start": 77.36, "end": 81.16, "word": " يبقى", "probability": 0.74737548828125}, {"start": 81.16, "end": 81.38, "word": " هنا", "probability": 0.88720703125}, {"start": 81.38, "end": 81.72, "word": " بقى", "probability": 0.7339680989583334}, {"start": 81.72, "end": 82.48, "word": " بقول", "probability": 0.80224609375}, {"start": 82.48, "end": 83.52, "word": " solution", "probability": 0.90380859375}], "temperature": 1.0}, {"id": 6, "seek": 10677, "start": 87.39, "end": 106.77, "text": "لن اتنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين اث", "tokens": [1211, 1863, 1975, 2655, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 1975, 12984], "avg_logprob": -0.0672222254011366, "compression_ratio": 19.806451612903224, "no_speech_prob": 0.0, "words": [{"start": 87.38999999999999, "end": 88.14999999999999, "word": "لن", "probability": 0.49591064453125}, {"start": 88.14999999999999, "end": 88.91, "word": " اتنين", "probability": 0.746978759765625}, {"start": 88.91, "end": 89.59, "word": " اثنين", "probability": 0.522674560546875}, {"start": 89.59, "end": 89.63, "word": " اثنين", "probability": 0.749267578125}, {"start": 89.63, "end": 89.63, "word": " اثنين", "probability": 0.9195556640625}, {"start": 89.63, "end": 89.63, "word": " اثنين", "probability": 0.953369140625}, {"start": 89.63, "end": 89.65, "word": " اثنين", "probability": 0.9617919921875}, {"start": 89.65, "end": 89.65, "word": " اثنين", "probability": 0.965087890625}, {"start": 89.65, "end": 89.73, "word": " اثنين", "probability": 0.966552734375}, {"start": 89.73, "end": 89.83, "word": " اثنين", "probability": 0.9666748046875}, {"start": 89.83, "end": 90.03, "word": " اثنين", "probability": 0.965087890625}, {"start": 90.03, "end": 90.13, "word": " اثنين", "probability": 0.9638671875}, {"start": 90.13, "end": 90.67, "word": " اثنين", "probability": 0.9630126953125}, {"start": 90.67, "end": 91.37, "word": " اثنين", "probability": 0.9613037109375}, {"start": 91.37, "end": 91.37, "word": " اثنين", "probability": 0.9599609375}, {"start": 91.37, "end": 91.37, "word": " اثنين", "probability": 0.958251953125}, {"start": 91.37, "end": 92.41, "word": " اثنين", "probability": 0.959716796875}, {"start": 92.41, "end": 93.11, "word": " اثنين", "probability": 0.9609375}, {"start": 93.11, "end": 93.51, "word": " اثنين", "probability": 0.96337890625}, {"start": 93.51, "end": 93.53, "word": " اثنين", "probability": 0.966064453125}, {"start": 93.53, "end": 93.59, "word": " اثنين", "probability": 0.9686279296875}, {"start": 93.59, "end": 94.57, "word": " اثنين", "probability": 0.9703369140625}, {"start": 94.57, "end": 95.81, "word": " اثنين", "probability": 0.971435546875}, {"start": 95.81, "end": 96.89, "word": " اثنين", "probability": 0.9722900390625}, {"start": 96.89, "end": 97.31, "word": " اثنين", "probability": 0.973388671875}, {"start": 97.31, "end": 97.43, "word": " اثنين", "probability": 0.9737548828125}, {"start": 97.43, "end": 97.49, "word": " اثنين", "probability": 0.9737548828125}, {"start": 97.49, "end": 97.51, "word": " اثنين", "probability": 0.9744873046875}, {"start": 97.51, "end": 97.91, "word": " اثنين", "probability": 0.9742431640625}, {"start": 97.91, "end": 98.27, "word": " اثنين", "probability": 0.9747314453125}, {"start": 98.27, "end": 98.27, "word": " اثنين", "probability": 0.9749755859375}, {"start": 98.27, "end": 98.43, "word": " اثنين", "probability": 0.9755859375}, {"start": 98.43, "end": 98.51, "word": " اثنين", "probability": 0.97607421875}, {"start": 98.51, "end": 98.51, "word": " اثنين", "probability": 0.9766845703125}, {"start": 98.51, "end": 98.51, "word": " اثنين", "probability": 0.9769287109375}, {"start": 98.51, "end": 98.51, "word": " اثنين", "probability": 0.977294921875}, {"start": 98.51, "end": 98.61, "word": " اثنين", "probability": 0.9779052734375}, {"start": 98.61, "end": 98.61, "word": " اثنين", "probability": 0.9781494140625}, {"start": 98.61, "end": 98.77, "word": " اثنين", "probability": 0.97900390625}, {"start": 98.77, "end": 98.77, "word": " اثنين", "probability": 0.9791259765625}, {"start": 98.77, "end": 98.77, "word": " اثنين", "probability": 0.97998046875}, {"start": 98.77, "end": 99.51, "word": " اثنين", "probability": 0.9805908203125}, {"start": 99.51, "end": 99.77, "word": " اثنين", "probability": 0.9810791015625}, {"start": 99.77, "end": 99.77, "word": " اثنين", "probability": 0.9818115234375}, {"start": 99.77, "end": 99.77, "word": " اثنين", "probability": 0.9820556640625}, {"start": 99.77, "end": 99.97, "word": " اثنين", "probability": 0.982666015625}, {"start": 99.97, "end": 99.97, "word": " اثنين", "probability": 0.9833984375}, {"start": 99.97, "end": 100.01, "word": " اثنين", "probability": 0.9837646484375}, {"start": 100.01, "end": 100.89, "word": " اثنين", "probability": 0.9842529296875}, {"start": 100.89, "end": 101.21, "word": " اثنين", "probability": 0.9849853515625}, {"start": 101.21, "end": 102.03, "word": " اثنين", "probability": 0.9853515625}, {"start": 102.03, "end": 102.77, "word": " اثنين", "probability": 0.9857177734375}, {"start": 102.77, "end": 103.29, "word": " اثنين", "probability": 0.9862060546875}, {"start": 103.29, "end": 104.75, "word": " اثنين", "probability": 0.986328125}, {"start": 104.75, "end": 105.47, "word": " اثنين", "probability": 0.986572265625}, {"start": 105.47, "end": 106.61, "word": " اثنين", "probability": 0.9864501953125}, {"start": 106.61, "end": 106.77, "word": " اث", "probability": 0.9765625}], "temperature": 1.0}, {"id": 7, "seek": 11888, "start": 106.8, "end": 118.88, "text": "خارج القسمة يبقى هذا x زائد لن اتنين x على اتنين يعني يسوى x زائد لن ال x", "tokens": [9778, 9640, 7435, 25062, 38251, 3660, 7251, 3555, 4587, 7578, 23758, 2031, 30767, 16373, 3215, 5296, 1863, 1975, 2655, 1863, 9957, 2031, 15844, 1975, 2655, 1863, 9957, 37495, 22653, 7251, 3794, 2407, 7578, 2031, 30767, 16373, 3215, 5296, 1863, 2423, 2031], "avg_logprob": -0.14136904371636255, "compression_ratio": 1.4367816091954022, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 106.8, "end": 107.46, "word": "خارج", "probability": 0.7618815104166666}, {"start": 107.46, "end": 108.5, "word": " القسمة", "probability": 0.9889322916666666}, {"start": 108.5, "end": 109.12, "word": " يبقى", "probability": 0.9083251953125}, {"start": 109.12, "end": 109.52, "word": " هذا", "probability": 0.85205078125}, {"start": 109.52, "end": 110.22, "word": " x", "probability": 0.63232421875}, {"start": 110.22, "end": 111.12, "word": " زائد", "probability": 0.8263346354166666}, {"start": 111.12, "end": 111.66, "word": " لن", "probability": 0.76904296875}, {"start": 111.66, "end": 112.62, "word": " اتنين", "probability": 0.927490234375}, {"start": 112.62, "end": 113.22, "word": " x", "probability": 0.9248046875}, {"start": 113.22, "end": 113.72, "word": " على", "probability": 0.66259765625}, {"start": 113.72, "end": 114.38, "word": " اتنين", "probability": 0.973388671875}, {"start": 114.38, "end": 115.18, "word": " يعني", "probability": 0.953369140625}, {"start": 115.18, "end": 116.06, "word": " يسوى", "probability": 0.850341796875}, {"start": 116.06, "end": 116.6, "word": " x", "probability": 0.9609375}, {"start": 116.6, "end": 117.72, "word": " زائد", "probability": 0.9697265625}, {"start": 117.72, "end": 118.26, "word": " لن", "probability": 0.96533203125}, {"start": 118.26, "end": 118.48, "word": " ال", "probability": 0.82568359375}, {"start": 118.48, "end": 118.88, "word": " x", "probability": 0.6015625}], "temperature": 1.0}, {"id": 8, "seek": 13997, "start": 119.71, "end": 139.97, "text": "ممكن الآن اتخلص من اللن اللي عندى هذه بان اعمل ايه ارفع اتنين كأس للعدد a يبقى ال a أس لن اتنين أس y ناقص واحد بدي يسوى e أس x زائد لن ال x", "tokens": [2304, 43020, 6024, 48506, 1975, 2655, 9778, 1211, 9381, 9154, 13672, 1863, 13672, 1829, 43242, 7578, 29538, 4724, 7649, 1975, 25957, 1211, 1975, 1829, 3224, 1975, 28480, 3615, 1975, 2655, 1863, 9957, 9122, 10721, 3794, 24976, 22488, 3215, 257, 7251, 3555, 4587, 7578, 2423, 257, 5551, 3794, 5296, 1863, 1975, 2655, 1863, 9957, 5551, 3794, 288, 8717, 995, 4587, 9381, 36764, 24401, 4724, 16254, 7251, 3794, 2407, 7578, 308, 5551, 3794, 2031, 30767, 16373, 3215, 5296, 1863, 2423, 2031], "avg_logprob": -0.2898437637835741, "compression_ratio": 1.619047619047619, "no_speech_prob": 0.0, "words": [{"start": 119.71, "end": 120.43, "word": "ممكن", "probability": 0.7216796875}, {"start": 120.43, "end": 120.91, "word": " الآن", "probability": 0.5565185546875}, {"start": 120.91, "end": 121.69, "word": " اتخلص", "probability": 0.905078125}, {"start": 121.69, "end": 121.99, "word": " من", "probability": 0.97119140625}, {"start": 121.99, "end": 122.43, "word": " اللن", "probability": 0.4813232421875}, {"start": 122.43, "end": 122.71, "word": " اللي", "probability": 0.81298828125}, {"start": 122.71, "end": 123.19, "word": " عندى", "probability": 0.54638671875}, {"start": 123.19, "end": 123.55, "word": " هذه", "probability": 0.492431640625}, {"start": 123.55, "end": 124.39, "word": " بان", "probability": 0.615478515625}, {"start": 124.39, "end": 125.01, "word": " اعمل", "probability": 0.74951171875}, {"start": 125.01, "end": 125.39, "word": " ايه", "probability": 0.89697265625}, {"start": 125.39, "end": 126.51, "word": " ارفع", "probability": 0.849609375}, {"start": 126.51, "end": 127.09, "word": " اتنين", "probability": 0.850830078125}, {"start": 127.09, "end": 127.67, "word": " كأس", "probability": 0.6877034505208334}, {"start": 127.67, "end": 128.51, "word": " للعدد", "probability": 0.896484375}, {"start": 128.51, "end": 128.87, "word": " a", "probability": 0.42333984375}, {"start": 128.87, "end": 130.11, "word": " يبقى", "probability": 0.951416015625}, {"start": 130.11, "end": 130.35, "word": " ال", "probability": 0.76220703125}, {"start": 130.35, "end": 130.79, "word": " a", "probability": 0.438720703125}, {"start": 130.79, "end": 131.49, "word": " أس", "probability": 0.736572265625}, {"start": 131.49, "end": 132.05, "word": " لن", "probability": 0.95361328125}, {"start": 132.05, "end": 132.79, "word": " اتنين", "probability": 0.9532470703125}, {"start": 132.79, "end": 133.25, "word": " أس", "probability": 0.7470703125}, {"start": 133.25, "end": 133.59, "word": " y", "probability": 0.568359375}, {"start": 133.59, "end": 134.27, "word": " ناقص", "probability": 0.955078125}, {"start": 134.27, "end": 134.93, "word": " واحد", "probability": 0.984130859375}, {"start": 134.93, "end": 135.63, "word": " بدي", "probability": 0.478515625}, {"start": 135.63, "end": 136.27, "word": " يسوى", "probability": 0.7545166015625}, {"start": 136.27, "end": 136.53, "word": " e", "probability": 0.3056640625}, {"start": 136.53, "end": 137.01, "word": " أس", "probability": 0.9375}, {"start": 137.01, "end": 137.49, "word": " x", "probability": 0.93896484375}, {"start": 137.49, "end": 138.57, "word": " زائد", "probability": 0.78271484375}, {"start": 138.57, "end": 139.23, "word": " لن", "probability": 0.95263671875}, {"start": 139.23, "end": 139.51, "word": " ال", "probability": 0.74560546875}, {"start": 139.51, "end": 139.97, "word": " x", "probability": 0.75390625}], "temperature": 1.0}, {"id": 9, "seek": 15729, "start": 140.89, "end": 157.29, "text": "الـ E و Lن بيلغوا بعض حسب القاعدة اللي اعطاناك إياها يبقى بضال عندي 2 أُس Y ناقص 1 يساوي هذه بقدر أقول عليها E أُس X في E أُس Lن X", "tokens": [6027, 39184, 462, 4032, 441, 1863, 4724, 1829, 1211, 17082, 14407, 45030, 11242, 11331, 35457, 25062, 995, 22488, 3660, 13672, 1829, 1975, 3615, 9566, 7649, 995, 4117, 11933, 25528, 11296, 7251, 3555, 4587, 7578, 4724, 11242, 6027, 18871, 16254, 568, 5551, 10859, 3794, 398, 8717, 995, 4587, 9381, 502, 7251, 3794, 995, 45865, 29538, 4724, 28543, 2288, 5551, 39648, 25894, 11296, 462, 5551, 10859, 3794, 1783, 8978, 462, 5551, 10859, 3794, 441, 1863, 1783], "avg_logprob": -0.27104167143503827, "compression_ratio": 1.4503311258278146, "no_speech_prob": 0.0, "words": [{"start": 140.89, "end": 141.33, "word": "الـ", "probability": 0.505126953125}, {"start": 141.33, "end": 141.53, "word": " E", "probability": 0.7138671875}, {"start": 141.53, "end": 141.75, "word": " و", "probability": 0.5615234375}, {"start": 141.75, "end": 142.23, "word": " Lن", "probability": 0.4425048828125}, {"start": 142.23, "end": 143.27, "word": " بيلغوا", "probability": 0.728076171875}, {"start": 143.27, "end": 143.51, "word": " بعض", "probability": 0.985107421875}, {"start": 143.51, "end": 143.93, "word": " حسب", "probability": 0.966552734375}, {"start": 143.93, "end": 144.79, "word": " القاعدة", "probability": 0.9627685546875}, {"start": 144.79, "end": 145.05, "word": " اللي", "probability": 0.76611328125}, {"start": 145.05, "end": 145.59, "word": " اعطاناك", "probability": 0.7088216145833334}, {"start": 145.59, "end": 146.17, "word": " إياها", "probability": 0.756591796875}, {"start": 146.17, "end": 146.91, "word": " يبقى", "probability": 0.9088134765625}, {"start": 146.91, "end": 147.23, "word": " بضال", "probability": 0.6055501302083334}, {"start": 147.23, "end": 147.63, "word": " عندي", "probability": 0.6763916015625}, {"start": 147.63, "end": 148.17, "word": " 2", "probability": 0.494140625}, {"start": 148.17, "end": 148.89, "word": " أُس", "probability": 0.5626627604166666}, {"start": 148.89, "end": 149.11, "word": " Y", "probability": 0.9228515625}, {"start": 149.11, "end": 149.75, "word": " ناقص", "probability": 0.811279296875}, {"start": 149.75, "end": 150.19, "word": " 1", "probability": 0.474609375}, {"start": 150.19, "end": 151.23, "word": " يساوي", "probability": 0.9622802734375}, {"start": 151.23, "end": 151.99, "word": " هذه", "probability": 0.67626953125}, {"start": 151.99, "end": 152.51, "word": " بقدر", "probability": 0.9347330729166666}, {"start": 152.51, "end": 152.83, "word": " أقول", "probability": 0.826904296875}, {"start": 152.83, "end": 153.29, "word": " عليها", "probability": 0.984130859375}, {"start": 153.29, "end": 153.67, "word": " E", "probability": 0.91357421875}, {"start": 153.67, "end": 154.17, "word": " أُس", "probability": 0.9508463541666666}, {"start": 154.17, "end": 154.53, "word": " X", "probability": 0.986328125}, {"start": 154.53, "end": 154.95, "word": " في", "probability": 0.716796875}, {"start": 154.95, "end": 155.45, "word": " E", "probability": 0.98828125}, {"start": 155.45, "end": 156.23, "word": " أُس", "probability": 0.970703125}, {"start": 156.23, "end": 156.69, "word": " Lن", "probability": 0.6903076171875}, {"start": 156.69, "end": 157.29, "word": " X", "probability": 0.70654296875}], "temperature": 1.0}, {"id": 10, "seek": 17422, "start": 157.64, "end": 174.22, "text": "لأنه عند الضرب إذا تساوت الأساسات بنجمع الأسس، يبقى عند الأسس مجموعة بالدرجة عالمية للأصل بتباعها، يبقى بصير عنده هنا اتنين أسواي ناقص واحد يساوي", "tokens": [1211, 33456, 3224, 43242, 6024, 114, 25513, 11933, 15730, 6055, 3794, 995, 35473, 16247, 3794, 32277, 9307, 44945, 7435, 2304, 3615, 16247, 3794, 3794, 12399, 7251, 3555, 4587, 7578, 43242, 16247, 3794, 3794, 3714, 7435, 2304, 2407, 27884, 20666, 3215, 47341, 3660, 6225, 45340, 10632, 24976, 10721, 36520, 39894, 3555, 45761, 11296, 12399, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 43242, 3224, 34105, 1975, 2655, 1863, 9957, 5551, 3794, 14407, 1829, 8717, 995, 4587, 9381, 36764, 24401, 7251, 3794, 995, 45865], "avg_logprob": -0.17054116544200154, "compression_ratio": 1.7272727272727273, "no_speech_prob": 0.0, "words": [{"start": 157.64, "end": 158.22, "word": "لأنه", "probability": 0.586669921875}, {"start": 158.22, "end": 158.46, "word": " عند", "probability": 0.97998046875}, {"start": 158.46, "end": 158.94, "word": " الضرب", "probability": 0.8396809895833334}, {"start": 158.94, "end": 159.32, "word": " إذا", "probability": 0.87451171875}, {"start": 159.32, "end": 160.06, "word": " تساوت", "probability": 0.783447265625}, {"start": 160.06, "end": 161.38, "word": " الأساسات", "probability": 0.96630859375}, {"start": 161.38, "end": 162.22, "word": " بنجمع", "probability": 0.9068603515625}, {"start": 162.22, "end": 163.66, "word": " الأسس،", "probability": 0.7706298828125}, {"start": 163.66, "end": 164.2, "word": " يبقى", "probability": 0.9791259765625}, {"start": 164.2, "end": 164.46, "word": " عند", "probability": 0.912109375}, {"start": 164.46, "end": 164.98, "word": " الأسس", "probability": 0.92724609375}, {"start": 164.98, "end": 165.48, "word": " مجموعة", "probability": 0.98505859375}, {"start": 165.48, "end": 166.18, "word": " بالدرجة", "probability": 0.9234619140625}, {"start": 166.18, "end": 166.94, "word": " عالمية", "probability": 0.8513997395833334}, {"start": 166.94, "end": 168.02, "word": " للأصل", "probability": 0.8605143229166666}, {"start": 168.02, "end": 169.14, "word": " بتباعها،", "probability": 0.7150390625}, {"start": 169.14, "end": 169.52, "word": " يبقى", "probability": 0.984130859375}, {"start": 169.52, "end": 170.02, "word": " بصير", "probability": 0.7574869791666666}, {"start": 170.02, "end": 170.56, "word": " عنده", "probability": 0.90380859375}, {"start": 170.56, "end": 170.84, "word": " هنا", "probability": 0.80224609375}, {"start": 170.84, "end": 171.5, "word": " اتنين", "probability": 0.8897705078125}, {"start": 171.5, "end": 172.26, "word": " أسواي", "probability": 0.65789794921875}, {"start": 172.26, "end": 172.82, "word": " ناقص", "probability": 0.9722900390625}, {"start": 172.82, "end": 173.38, "word": " واحد", "probability": 0.9736328125}, {"start": 173.38, "end": 174.22, "word": " يساوي", "probability": 0.9715576171875}], "temperature": 1.0}, {"id": 11, "seek": 19303, "start": 174.79, "end": 193.03, "text": "طلعلي هذه E أص لإن ال X اللي هي ب X مضغوبة في مين؟ في ال E و ال 6 يبقى X في ال E و ال 6 او ان شيرتم فقولوا 2 أص Y يسوى 1 زائد X في E أص X", "tokens": [9566, 1211, 3615, 20292, 29538, 462, 5551, 9381, 5296, 28814, 1863, 2423, 1783, 13672, 1829, 39896, 4724, 1783, 3714, 11242, 17082, 37746, 3660, 8978, 3714, 9957, 22807, 8978, 2423, 462, 4032, 2423, 1386, 7251, 3555, 4587, 7578, 1783, 8978, 2423, 462, 4032, 2423, 1386, 1975, 2407, 16472, 13412, 13546, 39237, 6156, 39648, 14407, 568, 5551, 9381, 398, 7251, 3794, 2407, 7578, 502, 30767, 16373, 3215, 1783, 8978, 462, 5551, 9381, 1783], "avg_logprob": -0.3819444465140502, "compression_ratio": 1.5571428571428572, "no_speech_prob": 0.0, "words": [{"start": 174.79, "end": 175.41, "word": "طلعلي", "probability": 0.5115966796875}, {"start": 175.41, "end": 175.71, "word": " هذه", "probability": 0.1793212890625}, {"start": 175.71, "end": 176.05, "word": " E", "probability": 0.3974609375}, {"start": 176.05, "end": 176.43, "word": " أص", "probability": 0.3245849609375}, {"start": 176.43, "end": 176.79, "word": " لإن", "probability": 0.6175944010416666}, {"start": 176.79, "end": 176.95, "word": " ال", "probability": 0.64111328125}, {"start": 176.95, "end": 177.19, "word": " X", "probability": 0.77099609375}, {"start": 177.19, "end": 177.39, "word": " اللي", "probability": 0.5543212890625}, {"start": 177.39, "end": 177.55, "word": " هي", "probability": 0.56982421875}, {"start": 177.55, "end": 177.67, "word": " ب", "probability": 0.5166015625}, {"start": 177.67, "end": 178.13, "word": " X", "probability": 0.440185546875}, {"start": 178.13, "end": 178.89, "word": " مضغوبة", "probability": 0.72177734375}, {"start": 178.89, "end": 179.07, "word": " في", "probability": 0.845703125}, {"start": 179.07, "end": 179.85, "word": " مين؟", "probability": 0.5148111979166666}, {"start": 179.85, "end": 179.99, "word": " في", "probability": 0.892578125}, {"start": 179.99, "end": 180.17, "word": " ال", "probability": 0.8291015625}, {"start": 180.17, "end": 180.43, "word": " E", "probability": 0.91162109375}, {"start": 180.43, "end": 180.55, "word": " و", "probability": 0.52734375}, {"start": 180.55, "end": 180.75, "word": " ال", "probability": 0.353515625}, {"start": 180.75, "end": 181.07, "word": " 6", "probability": 0.6767578125}, {"start": 181.07, "end": 181.91, "word": " يبقى", "probability": 0.8721923828125}, {"start": 181.91, "end": 182.45, "word": " X", "probability": 0.97314453125}, {"start": 182.45, "end": 182.75, "word": " في", "probability": 0.939453125}, {"start": 182.75, "end": 182.99, "word": " ال", "probability": 0.95361328125}, {"start": 182.99, "end": 183.25, "word": " E", "probability": 0.99462890625}, {"start": 183.25, "end": 183.37, "word": " و", "probability": 0.7099609375}, {"start": 183.37, "end": 183.53, "word": " ال", "probability": 0.94189453125}, {"start": 183.53, "end": 183.85, "word": " 6", "probability": 0.97119140625}, {"start": 183.85, "end": 184.21, "word": " او", "probability": 0.7117919921875}, {"start": 184.21, "end": 184.41, "word": " ان", "probability": 0.78173828125}, {"start": 184.41, "end": 184.97, "word": " شيرتم", "probability": 0.710205078125}, {"start": 184.97, "end": 186.33, "word": " فقولوا", "probability": 0.93798828125}, {"start": 186.33, "end": 186.81, "word": " 2", "probability": 0.5380859375}, {"start": 186.81, "end": 187.45, "word": " أص", "probability": 0.858642578125}, {"start": 187.45, "end": 187.87, "word": " Y", "probability": 0.97216796875}, {"start": 187.87, "end": 188.89, "word": " يسوى", "probability": 0.845947265625}, {"start": 188.89, "end": 189.45, "word": " 1", "probability": 0.71533203125}, {"start": 189.45, "end": 190.45, "word": " زائد", "probability": 0.8927408854166666}, {"start": 190.45, "end": 190.99, "word": " X", "probability": 0.9853515625}, {"start": 190.99, "end": 191.35, "word": " في", "probability": 0.95166015625}, {"start": 191.35, "end": 192.09, "word": " E", "probability": 0.99462890625}, {"start": 192.09, "end": 192.61, "word": " أص", "probability": 0.94775390625}, {"start": 192.61, "end": 193.03, "word": " X", "probability": 0.990234375}], "temperature": 1.0}, {"id": 12, "seek": 21183, "start": 193.91, "end": 211.83, "text": "طيب احنا بدنا y يبقى سهل جدا خد ال len للطرفين يبقى لو أخدنا ال len للطرفين بصير عندي y في len 2 يساوي len 1 زائد x في e أس x", "tokens": [9566, 1829, 3555, 1975, 5016, 8315, 47525, 8315, 288, 7251, 3555, 4587, 7578, 8608, 3224, 1211, 10874, 28259, 16490, 3215, 2423, 40116, 24976, 9566, 28480, 9957, 7251, 3555, 4587, 7578, 45164, 5551, 9778, 3215, 8315, 2423, 40116, 24976, 9566, 28480, 9957, 4724, 9381, 13546, 18871, 16254, 288, 8978, 40116, 568, 7251, 3794, 995, 45865, 40116, 502, 30767, 16373, 3215, 2031, 8978, 308, 5551, 3794, 2031], "avg_logprob": -0.20300662540125125, "compression_ratio": 1.5267175572519085, "no_speech_prob": 0.0, "words": [{"start": 193.91, "end": 194.43, "word": "طيب", "probability": 0.607177734375}, {"start": 194.43, "end": 194.79, "word": " احنا", "probability": 0.9314778645833334}, {"start": 194.79, "end": 195.55, "word": " بدنا", "probability": 0.781494140625}, {"start": 195.55, "end": 195.85, "word": " y", "probability": 0.54150390625}, {"start": 195.85, "end": 196.25, "word": " يبقى", "probability": 0.946044921875}, {"start": 196.25, "end": 196.73, "word": " سهل", "probability": 0.9931640625}, {"start": 196.73, "end": 197.13, "word": " جدا", "probability": 0.985107421875}, {"start": 197.13, "end": 198.05, "word": " خد", "probability": 0.788330078125}, {"start": 198.05, "end": 198.37, "word": " ال", "probability": 0.73974609375}, {"start": 198.37, "end": 198.67, "word": " len", "probability": 0.17529296875}, {"start": 198.67, "end": 199.75, "word": " للطرفين", "probability": 0.9461669921875}, {"start": 199.75, "end": 200.59, "word": " يبقى", "probability": 0.9498291015625}, {"start": 200.59, "end": 200.77, "word": " لو", "probability": 0.94091796875}, {"start": 200.77, "end": 201.35, "word": " أخدنا", "probability": 0.92333984375}, {"start": 201.35, "end": 201.55, "word": " ال", "probability": 0.71435546875}, {"start": 201.55, "end": 201.81, "word": " len", "probability": 0.9560546875}, {"start": 201.81, "end": 202.93, "word": " للطرفين", "probability": 0.9901123046875}, {"start": 202.93, "end": 203.77, "word": " بصير", "probability": 0.9075520833333334}, {"start": 203.77, "end": 204.27, "word": " عندي", "probability": 0.705322265625}, {"start": 204.27, "end": 204.79, "word": " y", "probability": 0.9384765625}, {"start": 204.79, "end": 205.13, "word": " في", "probability": 0.51025390625}, {"start": 205.13, "end": 205.49, "word": " len", "probability": 0.84521484375}, {"start": 205.49, "end": 206.19, "word": " 2", "probability": 0.7919921875}, {"start": 206.19, "end": 207.41, "word": " يساوي", "probability": 0.8489990234375}, {"start": 207.41, "end": 207.95, "word": " len", "probability": 0.76416015625}, {"start": 207.95, "end": 208.55, "word": " 1", "probability": 0.97412109375}, {"start": 208.55, "end": 209.49, "word": " زائد", "probability": 0.8409830729166666}, {"start": 209.49, "end": 209.97, "word": " x", "probability": 0.95703125}, {"start": 209.97, "end": 210.25, "word": " في", "probability": 0.951171875}, {"start": 210.25, "end": 210.81, "word": " e", "probability": 0.44775390625}, {"start": 210.81, "end": 211.39, "word": " أس", "probability": 0.567626953125}, {"start": 211.39, "end": 211.83, "word": " x", "probability": 0.759765625}], "temperature": 1.0}, {"id": 13, "seek": 24147, "start": 213.25, "end": 241.47, "text": "أحنا ما بدنا لن اتنين بدنا Y لوحدها يبقى بناء عليه بصير أن Y تساوي نجسم على لن اتنين لن واحد زائد X في ال E of 6 كله مقسوما على لن اتنين يبقى هذا الحل اللي عندي للمثلة ويمكن صياغته بصياغة أخرى وهي", "tokens": [10721, 5016, 8315, 19446, 47525, 8315, 5296, 1863, 1975, 2655, 1863, 9957, 47525, 8315, 398, 45164, 24401, 11296, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 4724, 9381, 13546, 14739, 398, 6055, 3794, 995, 45865, 8717, 7435, 38251, 15844, 5296, 1863, 1975, 2655, 1863, 9957, 5296, 1863, 36764, 24401, 30767, 16373, 3215, 1783, 8978, 2423, 462, 295, 1386, 28242, 3224, 3714, 4587, 3794, 2407, 15042, 15844, 5296, 1863, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 23758, 21542, 1211, 13672, 1829, 18871, 16254, 5296, 19528, 12984, 37977, 4032, 32640, 19452, 20328, 1829, 5718, 118, 47395, 4724, 9381, 1829, 5718, 118, 3660, 5551, 34740, 7578, 37037, 1829], "avg_logprob": -0.17334905365165673, "compression_ratio": 1.7448979591836735, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 213.25, "end": 213.75, "word": "أحنا", "probability": 0.6844685872395834}, {"start": 213.75, "end": 213.89, "word": " ما", "probability": 0.63134765625}, {"start": 213.89, "end": 214.85, "word": " بدنا", "probability": 0.88232421875}, {"start": 214.85, "end": 215.61, "word": " لن", "probability": 0.6380615234375}, {"start": 215.61, "end": 215.95, "word": " اتنين", "probability": 0.8770751953125}, {"start": 215.95, "end": 216.35, "word": " بدنا", "probability": 0.83642578125}, {"start": 216.35, "end": 216.51, "word": " Y", "probability": 0.55322265625}, {"start": 216.51, "end": 217.23, "word": " لوحدها", "probability": 0.845703125}, {"start": 217.23, "end": 218.11, "word": " يبقى", "probability": 0.9488525390625}, {"start": 218.11, "end": 218.49, "word": " بناء", "probability": 0.819580078125}, {"start": 218.49, "end": 219.01, "word": " عليه", "probability": 0.89453125}, {"start": 219.01, "end": 219.49, "word": " بصير", "probability": 0.7360026041666666}, {"start": 219.49, "end": 219.79, "word": " أن", "probability": 0.4423828125}, {"start": 219.79, "end": 220.45, "word": " Y", "probability": 0.892578125}, {"start": 220.45, "end": 221.59, "word": " تساوي", "probability": 0.891845703125}, {"start": 221.59, "end": 222.65, "word": " نجسم", "probability": 0.8141276041666666}, {"start": 222.65, "end": 222.93, "word": " على", "probability": 0.8701171875}, {"start": 222.93, "end": 223.29, "word": " لن", "probability": 0.981201171875}, {"start": 223.29, "end": 224.01, "word": " اتنين", "probability": 0.96875}, {"start": 224.01, "end": 224.85, "word": " لن", "probability": 0.6341552734375}, {"start": 224.85, "end": 226.05, "word": " واحد", "probability": 0.95654296875}, {"start": 226.05, "end": 226.83, "word": " زائد", "probability": 0.9363606770833334}, {"start": 226.83, "end": 227.31, "word": " X", "probability": 0.9189453125}, {"start": 227.31, "end": 227.57, "word": " في", "probability": 0.861328125}, {"start": 227.57, "end": 227.73, "word": " ال", "probability": 0.9306640625}, {"start": 227.73, "end": 227.95, "word": " E", "probability": 0.65673828125}, {"start": 227.95, "end": 228.27, "word": " of", "probability": 0.390869140625}, {"start": 228.27, "end": 228.67, "word": " 6", "probability": 0.3369140625}, {"start": 228.67, "end": 229.63, "word": " كله", "probability": 0.93212890625}, {"start": 229.63, "end": 230.43, "word": " مقسوما", "probability": 0.88046875}, {"start": 230.43, "end": 230.99, "word": " على", "probability": 0.89599609375}, {"start": 230.99, "end": 231.61, "word": " لن", "probability": 0.989013671875}, {"start": 231.61, "end": 232.23, "word": " اتنين", "probability": 0.977783203125}, {"start": 232.23, "end": 233.37, "word": " يبقى", "probability": 0.97265625}, {"start": 233.37, "end": 233.73, "word": " هذا", "probability": 0.939453125}, {"start": 233.73, "end": 234.25, "word": " الحل", "probability": 0.978271484375}, {"start": 234.25, "end": 234.47, "word": " اللي", "probability": 0.910888671875}, {"start": 234.47, "end": 234.83, "word": " عندي", "probability": 0.9072265625}, {"start": 234.83, "end": 235.69, "word": " للمثلة", "probability": 0.785400390625}, {"start": 235.69, "end": 237.15, "word": " ويمكن", "probability": 0.9708658854166666}, {"start": 237.15, "end": 238.25, "word": " صياغته", "probability": 0.965625}, {"start": 238.25, "end": 239.47, "word": " بصياغة", "probability": 0.97216796875}, {"start": 239.47, "end": 240.73, "word": " أخرى", "probability": 0.9246419270833334}, {"start": 240.73, "end": 241.47, "word": " وهي", "probability": 0.8955078125}], "temperature": 1.0}, {"id": 14, "seek": 26854, "start": 242.14, "end": 268.54, "text": "بقدر اكتب هذا بدلالة logarithm log يبقى هذا الكلام بدى يساوي logarithm للأساسي 2 لمين لواحد زائد X ا إي أوس X بهذا الشكل يبقى هذا يعتبر حل المعادلة اللى عندنا في هذا السؤال نمرى باه", "tokens": [3555, 28543, 2288, 1975, 4117, 2655, 3555, 23758, 4724, 3215, 1211, 6027, 3660, 41473, 32674, 3565, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 7578, 7251, 3794, 995, 45865, 41473, 32674, 24976, 10721, 3794, 32277, 1829, 568, 32767, 9957, 5296, 14407, 24401, 30767, 16373, 3215, 1783, 1975, 11933, 1829, 5551, 41779, 1783, 4724, 3224, 15730, 25124, 28820, 7251, 3555, 4587, 7578, 23758, 7251, 34268, 26890, 11331, 1211, 9673, 3615, 18513, 37977, 13672, 7578, 43242, 8315, 8978, 23758, 21136, 33604, 6027, 8717, 29973, 7578, 4724, 40294], "avg_logprob": -0.2807112192285472, "compression_ratio": 1.702247191011236, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 242.14, "end": 243.48, "word": "بقدر", "probability": 0.7193196614583334}, {"start": 243.48, "end": 243.98, "word": " اكتب", "probability": 0.8382568359375}, {"start": 243.98, "end": 244.22, "word": " هذا", "probability": 0.392333984375}, {"start": 244.22, "end": 245.08, "word": " بدلالة", "probability": 0.8490234375}, {"start": 245.08, "end": 246.88, "word": " logarithm", "probability": 0.858154296875}, {"start": 246.88, "end": 247.64, "word": " log", "probability": 0.4765625}, {"start": 247.64, "end": 248.5, "word": " يبقى", "probability": 0.8887939453125}, {"start": 248.5, "end": 248.8, "word": " هذا", "probability": 0.89306640625}, {"start": 248.8, "end": 249.34, "word": " الكلام", "probability": 0.9256184895833334}, {"start": 249.34, "end": 249.72, "word": " بدى", "probability": 0.3448486328125}, {"start": 249.72, "end": 250.22, "word": " يساوي", "probability": 0.8460693359375}, {"start": 250.22, "end": 251.2, "word": " logarithm", "probability": 0.977783203125}, {"start": 251.2, "end": 252.7, "word": " للأساسي", "probability": 0.74609375}, {"start": 252.7, "end": 253.2, "word": " 2", "probability": 0.74951171875}, {"start": 253.2, "end": 254.38, "word": " لمين", "probability": 0.6339111328125}, {"start": 254.38, "end": 255.2, "word": " لواحد", "probability": 0.6455891927083334}, {"start": 255.2, "end": 255.94, "word": " زائد", "probability": 0.86376953125}, {"start": 255.94, "end": 256.44, "word": " X", "probability": 0.52099609375}, {"start": 256.44, "end": 257.22, "word": " ا", "probability": 0.1834716796875}, {"start": 257.22, "end": 258.04, "word": " إي", "probability": 0.5968017578125}, {"start": 258.04, "end": 258.52, "word": " أوس", "probability": 0.528076171875}, {"start": 258.52, "end": 258.96, "word": " X", "probability": 0.78515625}, {"start": 258.96, "end": 259.36, "word": " بهذا", "probability": 0.650146484375}, {"start": 259.36, "end": 259.84, "word": " الشكل", "probability": 0.988525390625}, {"start": 259.84, "end": 260.68, "word": " يبقى", "probability": 0.955078125}, {"start": 260.68, "end": 261.0, "word": " هذا", "probability": 0.96484375}, {"start": 261.0, "end": 261.52, "word": " يعتبر", "probability": 0.9737955729166666}, {"start": 261.52, "end": 261.92, "word": " حل", "probability": 0.977783203125}, {"start": 261.92, "end": 262.98, "word": " المعادلة", "probability": 0.9891357421875}, {"start": 262.98, "end": 263.88, "word": " اللى", "probability": 0.84521484375}, {"start": 263.88, "end": 264.56, "word": " عندنا", "probability": 0.982177734375}, {"start": 264.56, "end": 265.26, "word": " في", "probability": 0.89453125}, {"start": 265.26, "end": 266.02, "word": " هذا", "probability": 0.9111328125}, {"start": 266.02, "end": 266.84, "word": " السؤال", "probability": 0.9900716145833334}, {"start": 266.84, "end": 268.14, "word": " نمرى", "probability": 0.726806640625}, {"start": 268.14, "end": 268.54, "word": " باه", "probability": 0.573974609375}], "temperature": 1.0}, {"id": 15, "seek": 28806, "start": 270.88, "end": 288.06, "text": "solve for x لأن ال E زائد أربعة أسالي باتنين logarithm X للأساس أربعة", "tokens": [30926, 303, 337, 2031, 5296, 33456, 2423, 462, 30767, 16373, 3215, 5551, 25513, 27884, 5551, 3794, 6027, 1829, 4724, 9307, 1863, 9957, 41473, 32674, 1783, 24976, 10721, 3794, 32277, 5551, 25513, 27884], "avg_logprob": -0.3572443181818182, "compression_ratio": 1.0824742268041236, "no_speech_prob": 0.0, "words": [{"start": 270.88, "end": 272.08, "word": "solve", "probability": 0.58099365234375}, {"start": 272.08, "end": 273.08, "word": " for", "probability": 0.89794921875}, {"start": 273.08, "end": 273.74, "word": " x", "probability": 0.884765625}, {"start": 273.74, "end": 277.78, "word": " لأن", "probability": 0.6357421875}, {"start": 277.78, "end": 278.14, "word": " ال", "probability": 0.62939453125}, {"start": 278.14, "end": 278.58, "word": " E", "probability": 0.4599609375}, {"start": 278.58, "end": 280.36, "word": " زائد", "probability": 0.71435546875}, {"start": 280.36, "end": 281.64, "word": " أربعة", "probability": 0.7237955729166666}, {"start": 281.64, "end": 282.7, "word": " أسالي", "probability": 0.8033447265625}, {"start": 282.7, "end": 283.64, "word": " باتنين", "probability": 0.8121337890625}, {"start": 283.64, "end": 285.3, "word": " logarithm", "probability": 0.640625}, {"start": 285.3, "end": 286.08, "word": " X", "probability": 0.326904296875}, {"start": 286.08, "end": 287.26, "word": " للأساس", "probability": 0.94140625}, {"start": 287.26, "end": 288.06, "word": " أربعة", "probability": 0.8590494791666666}], "temperature": 1.0}, {"id": 16, "seek": 30292, "start": 288.34, "end": 302.92, "text": "بتساوي 1 على X log للأساس عشرة لمين للرقم 100 وال X هذه مالها لا تساوي Zero", "tokens": [3555, 2655, 3794, 995, 45865, 502, 15844, 1783, 3565, 24976, 10721, 3794, 32277, 6225, 8592, 25720, 32767, 9957, 24976, 2288, 4587, 2304, 2319, 16070, 1783, 29538, 3714, 6027, 11296, 20193, 6055, 3794, 995, 45865, 17182], "avg_logprob": -0.3496093799670537, "compression_ratio": 1.1634615384615385, "no_speech_prob": 0.0, "words": [{"start": 288.34, "end": 289.76, "word": "بتساوي", "probability": 0.63798828125}, {"start": 289.76, "end": 290.72, "word": " 1", "probability": 0.646484375}, {"start": 290.72, "end": 291.26, "word": " على", "probability": 0.40673828125}, {"start": 291.26, "end": 291.68, "word": " X", "probability": 0.361328125}, {"start": 291.68, "end": 292.64, "word": " log", "probability": 0.444091796875}, {"start": 292.64, "end": 293.72, "word": " للأساس", "probability": 0.9310302734375}, {"start": 293.72, "end": 294.54, "word": " عشرة", "probability": 0.736572265625}, {"start": 294.54, "end": 295.66, "word": " لمين", "probability": 0.8447265625}, {"start": 295.66, "end": 296.88, "word": " للرقم", "probability": 0.952392578125}, {"start": 296.88, "end": 297.4, "word": " 100", "probability": 0.51904296875}, {"start": 297.4, "end": 298.02, "word": " وال", "probability": 0.625}, {"start": 298.02, "end": 298.54, "word": " X", "probability": 0.58544921875}, {"start": 298.54, "end": 299.22, "word": " هذه", "probability": 0.5595703125}, {"start": 299.22, "end": 300.44, "word": " مالها", "probability": 0.7799479166666666}, {"start": 300.44, "end": 301.2, "word": " لا", "probability": 0.491943359375}, {"start": 301.2, "end": 302.4, "word": " تساوي", "probability": 0.9869384765625}, {"start": 302.4, "end": 302.92, "word": " Zero", "probability": 0.46240234375}], "temperature": 1.0}, {"id": 17, "seek": 34151, "start": 312.41, "end": 341.51, "text": "سؤال مرة تانية بيقولي solve for x يعني حل المعادلة بالنسبة ل x طبعا ماعندي شوية عندي أعداد وبالتالي بدي أقرأ جداش القيمة العددية للمتغير x لإن ال a زاد 4 مرفوعة للأس نقص 2 ال logarithm x للأساس 4 بدي أسوأ 1 على x لجمية للأساس 10.بنقوله بسيطة الحال كالتالي", "tokens": [3794, 33604, 6027, 3714, 25720, 6055, 7649, 10632, 4724, 1829, 39648, 1829, 5039, 337, 2031, 37495, 22653, 11331, 1211, 9673, 3615, 18513, 37977, 20666, 1863, 35457, 3660, 5296, 2031, 23032, 3555, 3615, 995, 19446, 3615, 1863, 16254, 13412, 2407, 10632, 18871, 16254, 5551, 22488, 18513, 46599, 6027, 2655, 6027, 1829, 4724, 16254, 5551, 4587, 2288, 10721, 10874, 3215, 33599, 25062, 32640, 3660, 18863, 3215, 3215, 10632, 5296, 19528, 2655, 17082, 13546, 2031, 5296, 28814, 1863, 2423, 257, 30767, 18513, 1017, 3714, 28480, 2407, 27884, 24976, 10721, 3794, 8717, 4587, 9381, 568, 2423, 41473, 32674, 2031, 24976, 10721, 3794, 32277, 1017, 4724, 16254, 5551, 3794, 2407, 10721, 502, 15844, 2031, 5296, 7435, 2304, 10632, 24976, 10721, 3794, 32277, 1266, 13, 3555, 1863, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 21542, 6027, 9122, 6027, 2655, 6027, 1829], "avg_logprob": -0.2421874991234611, "compression_ratio": 1.7269076305220883, "no_speech_prob": 0.0, "words": [{"start": 312.41, "end": 312.85, "word": "سؤال", "probability": 0.8463541666666666}, {"start": 312.85, "end": 313.15, "word": " مرة", "probability": 0.908935546875}, {"start": 313.15, "end": 313.55, "word": " تانية", "probability": 0.921875}, {"start": 313.55, "end": 314.75, "word": " بيقولي", "probability": 0.57794189453125}, {"start": 314.75, "end": 315.27, "word": " solve", "probability": 0.2119140625}, {"start": 315.27, "end": 315.75, "word": " for", "probability": 0.91552734375}, {"start": 315.75, "end": 316.07, "word": " x", "probability": 0.763671875}, {"start": 316.07, "end": 316.37, "word": " يعني", "probability": 0.863525390625}, {"start": 316.37, "end": 316.77, "word": " حل", "probability": 0.870849609375}, {"start": 316.77, "end": 317.37, "word": " المعادلة", "probability": 0.9425048828125}, {"start": 317.37, "end": 317.93, "word": " بالنسبة", "probability": 0.9749755859375}, {"start": 317.93, "end": 318.07, "word": " ل", "probability": 0.869140625}, {"start": 318.07, "end": 318.37, "word": " x", "probability": 0.4208984375}, {"start": 318.37, "end": 319.17, "word": " طبعا", "probability": 0.9493408203125}, {"start": 319.17, "end": 319.61, "word": " ماعندي", "probability": 0.9224853515625}, {"start": 319.61, "end": 320.01, "word": " شوية", "probability": 0.7439778645833334}, {"start": 320.01, "end": 320.35, "word": " عندي", "probability": 0.763427734375}, {"start": 320.35, "end": 320.75, "word": " أعداد", "probability": 0.8662109375}, {"start": 320.75, "end": 321.27, "word": " وبالتالي", "probability": 0.8935546875}, {"start": 321.27, "end": 321.57, "word": " بدي", "probability": 0.830322265625}, {"start": 321.57, "end": 321.89, "word": " أقرأ", "probability": 0.66790771484375}, {"start": 321.89, "end": 322.63, "word": " جداش", "probability": 0.5721842447916666}, {"start": 322.63, "end": 324.01, "word": " القيمة", "probability": 0.9656575520833334}, {"start": 324.01, "end": 324.83, "word": " العددية", "probability": 0.9610595703125}, {"start": 324.83, "end": 326.05, "word": " للمتغير", "probability": 0.93037109375}, {"start": 326.05, "end": 326.47, "word": " x", "probability": 0.85546875}, {"start": 326.47, "end": 327.29, "word": " لإن", "probability": 0.7755533854166666}, {"start": 327.29, "end": 327.55, "word": " ال", "probability": 0.90673828125}, {"start": 327.55, "end": 327.83, "word": " a", "probability": 0.441162109375}, {"start": 327.83, "end": 328.69, "word": " زاد", "probability": 0.69287109375}, {"start": 328.69, "end": 329.19, "word": " 4", "probability": 0.521484375}, {"start": 329.19, "end": 329.93, "word": " مرفوعة", "probability": 0.9222412109375}, {"start": 329.93, "end": 330.45, "word": " للأس", "probability": 0.7609049479166666}, {"start": 330.45, "end": 330.99, "word": " نقص", "probability": 0.8302408854166666}, {"start": 330.99, "end": 331.31, "word": " 2", "probability": 0.8896484375}, {"start": 331.31, "end": 331.49, "word": " ال", "probability": 0.245849609375}, {"start": 331.49, "end": 332.01, "word": " logarithm", "probability": 0.954345703125}, {"start": 332.01, "end": 332.41, "word": " x", "probability": 0.763671875}, {"start": 332.41, "end": 333.07, "word": " للأساس", "probability": 0.97216796875}, {"start": 333.07, "end": 333.53, "word": " 4", "probability": 0.86328125}, {"start": 333.53, "end": 334.37, "word": " بدي", "probability": 0.72216796875}, {"start": 334.37, "end": 334.71, "word": " أسوأ", "probability": 0.60400390625}, {"start": 334.71, "end": 335.01, "word": " 1", "probability": 0.64794921875}, {"start": 335.01, "end": 335.35, "word": " على", "probability": 0.5068359375}, {"start": 335.35, "end": 335.67, "word": " x", "probability": 0.7529296875}, {"start": 335.67, "end": 336.51, "word": " لجمية", "probability": 0.795654296875}, {"start": 336.51, "end": 337.55, "word": " للأساس", "probability": 0.9825439453125}, {"start": 337.55, "end": 338.17, "word": " 10", "probability": 0.65380859375}, {"start": 338.17, "end": 339.45, "word": ".بنقوله", "probability": 0.6784423828125}, {"start": 339.45, "end": 340.05, "word": " بسيطة", "probability": 0.9828125}, {"start": 340.05, "end": 340.55, "word": " الحال", "probability": 0.749267578125}, {"start": 340.55, "end": 341.51, "word": " كالتالي", "probability": 0.87578125}], "temperature": 1.0}, {"id": 18, "seek": 36175, "start": 344.95, "end": 361.75, "text": "خلصنا منها، سهلة، زاد، شو رأيك؟ هنا أربعة و هنا أربعة، بس هنا جبلة قداش؟ إذا لو فيش سالة و أتنين كان أمري ميصور و سهل جدا، يعني بدخل سالة و أتنين جوا لإن بتيجي كأس لمين؟", "tokens": [9778, 1211, 9381, 8315, 9154, 11296, 12399, 8608, 3224, 37977, 12399, 30767, 18513, 12399, 13412, 2407, 12602, 10721, 1829, 4117, 22807, 34105, 5551, 25513, 27884, 4032, 34105, 5551, 25513, 27884, 12399, 4724, 3794, 34105, 10874, 36150, 3660, 12174, 3215, 33599, 22807, 11933, 15730, 45164, 8978, 8592, 8608, 6027, 3660, 4032, 5551, 2655, 1863, 9957, 25961, 5551, 29973, 1829, 3714, 1829, 9381, 13063, 4032, 8608, 3224, 1211, 10874, 28259, 12399, 37495, 22653, 4724, 3215, 9778, 1211, 8608, 6027, 3660, 4032, 5551, 2655, 1863, 9957, 10874, 14407, 5296, 28814, 1863, 4724, 31371, 7435, 1829, 9122, 10721, 3794, 32767, 9957, 22807], "avg_logprob": -0.33585857321517637, "compression_ratio": 1.776470588235294, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 344.95000000000005, "end": 345.79, "word": "خلصنا", "probability": 0.6661376953125}, {"start": 345.79, "end": 346.23, "word": " منها،", "probability": 0.5658365885416666}, {"start": 346.23, "end": 347.15, "word": " سهلة،", "probability": 0.61724853515625}, {"start": 347.15, "end": 348.31, "word": " زاد،", "probability": 0.65478515625}, {"start": 348.31, "end": 348.65, "word": " شو", "probability": 0.8427734375}, {"start": 348.65, "end": 349.21, "word": " رأيك؟", "probability": 0.790380859375}, {"start": 349.21, "end": 349.43, "word": " هنا", "probability": 0.91748046875}, {"start": 349.43, "end": 349.95, "word": " أربعة", "probability": 0.7810872395833334}, {"start": 349.95, "end": 350.09, "word": " و", "probability": 0.5791015625}, {"start": 350.09, "end": 350.29, "word": " هنا", "probability": 0.9267578125}, {"start": 350.29, "end": 350.77, "word": " أربعة،", "probability": 0.8739013671875}, {"start": 350.77, "end": 350.95, "word": " بس", "probability": 0.93310546875}, {"start": 350.95, "end": 351.15, "word": " هنا", "probability": 0.95166015625}, {"start": 351.15, "end": 351.59, "word": " جبلة", "probability": 0.5758463541666666}, {"start": 351.59, "end": 352.39, "word": " قداش؟", "probability": 0.71734619140625}, {"start": 352.39, "end": 353.23, "word": " إذا", "probability": 0.62646484375}, {"start": 353.23, "end": 353.45, "word": " لو", "probability": 0.94091796875}, {"start": 353.45, "end": 353.75, "word": " فيش", "probability": 0.6859130859375}, {"start": 353.75, "end": 354.11, "word": " سالة", "probability": 0.8365885416666666}, {"start": 354.11, "end": 354.19, "word": " و", "probability": 0.5986328125}, {"start": 354.19, "end": 354.45, "word": " أتنين", "probability": 0.7896728515625}, {"start": 354.45, "end": 354.75, "word": " كان", "probability": 0.457763671875}, {"start": 354.75, "end": 355.31, "word": " أمري", "probability": 0.640869140625}, {"start": 355.31, "end": 355.79, "word": " ميصور", "probability": 0.7525634765625}, {"start": 355.79, "end": 355.93, "word": " و", "probability": 0.35205078125}, {"start": 355.93, "end": 356.35, "word": " سهل", "probability": 0.9646809895833334}, {"start": 356.35, "end": 357.27, "word": " جدا،", "probability": 0.9202473958333334}, {"start": 357.27, "end": 357.47, "word": " يعني", "probability": 0.777099609375}, {"start": 357.47, "end": 358.41, "word": " بدخل", "probability": 0.840576171875}, {"start": 358.41, "end": 358.77, "word": " سالة", "probability": 0.9853515625}, {"start": 358.77, "end": 358.87, "word": " و", "probability": 0.97705078125}, {"start": 358.87, "end": 359.17, "word": " أتنين", "probability": 0.900634765625}, {"start": 359.17, "end": 359.55, "word": " جوا", "probability": 0.788330078125}, {"start": 359.55, "end": 359.97, "word": " لإن", "probability": 0.6302897135416666}, {"start": 359.97, "end": 360.43, "word": " بتيجي", "probability": 0.82330322265625}, {"start": 360.43, "end": 361.01, "word": " كأس", "probability": 0.8722330729166666}, {"start": 361.01, "end": 361.75, "word": " لمين؟", "probability": 0.656494140625}], "temperature": 1.0}, {"id": 19, "seek": 39110, "start": 361.9, "end": 391.1, "text": "يبقى بيصير أربعة أس لغة رتم للأساس أربعة لل إكس أس سالي باتنين بالشكل اللي عندنا بده يساوي واحد على إكس هذه مية عشرة تربيع يعني اتنين لجة عشرة للأساس عشرة في اتنين أس لغة رتم عشرة للأساس عشرة", "tokens": [1829, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 5551, 25513, 27884, 5551, 3794, 5296, 17082, 3660, 12602, 39237, 24976, 10721, 3794, 32277, 5551, 25513, 27884, 24976, 11933, 4117, 3794, 5551, 3794, 8608, 6027, 1829, 4724, 9307, 1863, 9957, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 47525, 3224, 7251, 3794, 995, 45865, 36764, 24401, 15844, 11933, 4117, 3794, 29538, 3714, 10632, 6225, 8592, 25720, 6055, 2288, 21292, 3615, 37495, 22653, 1975, 2655, 1863, 9957, 5296, 7435, 3660, 6225, 8592, 25720, 24976, 10721, 3794, 32277, 6225, 8592, 25720, 8978, 1975, 2655, 1863, 9957, 5551, 3794, 5296, 17082, 3660, 12602, 39237, 6225, 8592, 25720, 24976, 10721, 3794, 32277, 6225, 8592, 25720], "avg_logprob": -0.24082568479240488, "compression_ratio": 2.1104294478527605, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 361.9, "end": 363.68, "word": "يبقى", "probability": 0.72869873046875}, {"start": 363.68, "end": 364.3, "word": " بيصير", "probability": 0.7127685546875}, {"start": 364.3, "end": 365.1, "word": " أربعة", "probability": 0.7549641927083334}, {"start": 365.1, "end": 365.62, "word": " أس", "probability": 0.755615234375}, {"start": 365.62, "end": 366.2, "word": " لغة", "probability": 0.89111328125}, {"start": 366.2, "end": 366.54, "word": " رتم", "probability": 0.716552734375}, {"start": 366.54, "end": 367.64, "word": " للأساس", "probability": 0.928955078125}, {"start": 367.64, "end": 368.36, "word": " أربعة", "probability": 0.9212239583333334}, {"start": 368.36, "end": 369.06, "word": " لل", "probability": 0.53076171875}, {"start": 369.06, "end": 369.66, "word": " إكس", "probability": 0.709716796875}, {"start": 369.66, "end": 370.12, "word": " أس", "probability": 0.944091796875}, {"start": 370.12, "end": 370.98, "word": " سالي", "probability": 0.6149495442708334}, {"start": 370.98, "end": 371.66, "word": " باتنين", "probability": 0.802001953125}, {"start": 371.66, "end": 372.22, "word": " بالشكل", "probability": 0.9485677083333334}, {"start": 372.22, "end": 372.38, "word": " اللي", "probability": 0.949951171875}, {"start": 372.38, "end": 372.74, "word": " عندنا", "probability": 0.6983642578125}, {"start": 372.74, "end": 373.88, "word": " بده", "probability": 0.4072265625}, {"start": 373.88, "end": 374.48, "word": " يساوي", "probability": 0.9615478515625}, {"start": 374.48, "end": 375.46, "word": " واحد", "probability": 0.975830078125}, {"start": 375.46, "end": 375.82, "word": " على", "probability": 0.69287109375}, {"start": 375.82, "end": 376.22, "word": " إكس", "probability": 0.8935546875}, {"start": 376.22, "end": 377.22, "word": " هذه", "probability": 0.4580078125}, {"start": 377.22, "end": 377.94, "word": " مية", "probability": 0.74560546875}, {"start": 377.94, "end": 380.46, "word": " عشرة", "probability": 0.631591796875}, {"start": 380.46, "end": 381.3, "word": " تربيع", "probability": 0.8558349609375}, {"start": 381.3, "end": 381.96, "word": " يعني", "probability": 0.87060546875}, {"start": 381.96, "end": 382.88, "word": " اتنين", "probability": 0.88134765625}, {"start": 382.88, "end": 383.4, "word": " لجة", "probability": 0.5646158854166666}, {"start": 383.4, "end": 383.9, "word": " عشرة", "probability": 0.9228515625}, {"start": 383.9, "end": 384.78, "word": " للأساس", "probability": 0.9757080078125}, {"start": 384.78, "end": 385.34, "word": " عشرة", "probability": 0.9620768229166666}, {"start": 385.34, "end": 386.02, "word": " في", "probability": 0.336669921875}, {"start": 386.02, "end": 386.86, "word": " اتنين", "probability": 0.945556640625}, {"start": 386.86, "end": 387.6, "word": " أس", "probability": 0.9462890625}, {"start": 387.6, "end": 388.12, "word": " لغة", "probability": 0.9736328125}, {"start": 388.12, "end": 388.58, "word": " رتم", "probability": 0.984619140625}, {"start": 388.58, "end": 389.34, "word": " عشرة", "probability": 0.9500325520833334}, {"start": 389.34, "end": 390.52, "word": " للأساس", "probability": 0.9803466796875}, {"start": 390.52, "end": 391.1, "word": " عشرة", "probability": 0.9759114583333334}], "temperature": 1.0}, {"id": 20, "seek": 41387, "start": 391.77, "end": 413.87, "text": "لو جينا نبسطها يبقى واحد زائد إذا الأساس هذا هو الأساس هذا بيقول مين أنه بس ما داخل ال log يبقى X أس سالي باتنين يساوي اتنين على X و log ال X لل log عشر الأساس عشر اللي هو جداش بواحد صحيح", "tokens": [1211, 2407, 10874, 1829, 8315, 8717, 3555, 3794, 9566, 11296, 7251, 3555, 4587, 7578, 36764, 24401, 30767, 16373, 3215, 11933, 15730, 16247, 3794, 32277, 23758, 31439, 16247, 3794, 32277, 23758, 4724, 1829, 39648, 3714, 9957, 14739, 3224, 4724, 3794, 19446, 11778, 47283, 1211, 2423, 3565, 7251, 3555, 4587, 7578, 1783, 5551, 3794, 8608, 6027, 1829, 4724, 9307, 1863, 9957, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 15844, 1783, 4032, 3565, 2423, 1783, 24976, 3565, 6225, 46309, 16247, 3794, 32277, 6225, 46309, 13672, 1829, 31439, 10874, 3215, 33599, 4724, 14407, 24401, 20328, 5016, 1829, 5016], "avg_logprob": -0.20865885152791938, "compression_ratio": 1.8285714285714285, "no_speech_prob": 0.0, "words": [{"start": 391.77, "end": 392.25, "word": "لو", "probability": 0.68408203125}, {"start": 392.25, "end": 392.53, "word": " جينا", "probability": 0.8121744791666666}, {"start": 392.53, "end": 393.35, "word": " نبسطها", "probability": 0.986328125}, {"start": 393.35, "end": 393.85, "word": " يبقى", "probability": 0.917236328125}, {"start": 393.85, "end": 394.51, "word": " واحد", "probability": 0.890869140625}, {"start": 394.51, "end": 395.25, "word": " زائد", "probability": 0.9326171875}, {"start": 395.25, "end": 395.87, "word": " إذا", "probability": 0.750732421875}, {"start": 395.87, "end": 396.61, "word": " الأساس", "probability": 0.8421223958333334}, {"start": 396.61, "end": 396.97, "word": " هذا", "probability": 0.8857421875}, {"start": 396.97, "end": 397.23, "word": " هو", "probability": 0.99072265625}, {"start": 397.23, "end": 398.01, "word": " الأساس", "probability": 0.9422200520833334}, {"start": 398.01, "end": 398.31, "word": " هذا", "probability": 0.89453125}, {"start": 398.31, "end": 398.63, "word": " بيقول", "probability": 0.6956380208333334}, {"start": 398.63, "end": 398.87, "word": " مين", "probability": 0.6959228515625}, {"start": 398.87, "end": 399.39, "word": " أنه", "probability": 0.632568359375}, {"start": 399.39, "end": 400.25, "word": " بس", "probability": 0.4794921875}, {"start": 400.25, "end": 400.43, "word": " ما", "probability": 0.845703125}, {"start": 400.43, "end": 401.03, "word": " داخل", "probability": 0.9669596354166666}, {"start": 401.03, "end": 401.25, "word": " ال", "probability": 0.90478515625}, {"start": 401.25, "end": 401.59, "word": " log", "probability": 0.666015625}, {"start": 401.59, "end": 402.65, "word": " يبقى", "probability": 0.9769287109375}, {"start": 402.65, "end": 403.13, "word": " X", "probability": 0.427001953125}, {"start": 403.13, "end": 403.77, "word": " أس", "probability": 0.666259765625}, {"start": 403.77, "end": 404.31, "word": " سالي", "probability": 0.7484537760416666}, {"start": 404.31, "end": 405.03, "word": " باتنين", "probability": 0.8564453125}, {"start": 405.03, "end": 406.23, "word": " يساوي", "probability": 0.88427734375}, {"start": 406.23, "end": 407.07, "word": " اتنين", "probability": 0.9541015625}, {"start": 407.07, "end": 407.39, "word": " على", "probability": 0.8671875}, {"start": 407.39, "end": 407.85, "word": " X", "probability": 0.9560546875}, {"start": 407.85, "end": 408.39, "word": " و", "probability": 0.58935546875}, {"start": 408.39, "end": 408.75, "word": " log", "probability": 0.740234375}, {"start": 408.75, "end": 409.01, "word": " ال", "probability": 0.499755859375}, {"start": 409.01, "end": 409.27, "word": " X", "probability": 0.97216796875}, {"start": 409.27, "end": 409.53, "word": " لل", "probability": 0.904296875}, {"start": 409.53, "end": 409.75, "word": " log", "probability": 0.83935546875}, {"start": 409.75, "end": 410.19, "word": " عشر", "probability": 0.864013671875}, {"start": 410.19, "end": 410.69, "word": " الأساس", "probability": 0.8863932291666666}, {"start": 410.69, "end": 410.99, "word": " عشر", "probability": 0.95263671875}, {"start": 410.99, "end": 411.15, "word": " اللي", "probability": 0.96240234375}, {"start": 411.15, "end": 411.25, "word": " هو", "probability": 0.9140625}, {"start": 411.25, "end": 411.89, "word": " جداش", "probability": 0.5177408854166666}, {"start": 411.89, "end": 413.25, "word": " بواحد", "probability": 0.9638671875}, {"start": 413.25, "end": 413.87, "word": " صحيح", "probability": 0.9927978515625}], "temperature": 1.0}, {"id": 21, "seek": 43721, "start": 415.01, "end": 437.21, "text": "طيب بدنا نتخلص من الشغل هذه يبجى هذا أس سالب شو رايك نضرب كله في X تربيع يعني لو ضربنا في X تربيع نتخلص من مين؟ من الأس السالب يبجى هذا الكلام بده يعطيلك ان X تربيع زائد واحد يساوي اتنين X", "tokens": [9566, 1829, 3555, 47525, 8315, 8717, 2655, 9778, 1211, 9381, 9154, 25124, 17082, 1211, 29538, 7251, 3555, 7435, 7578, 23758, 5551, 3794, 8608, 6027, 3555, 13412, 2407, 12602, 47302, 4117, 8717, 11242, 25513, 28242, 3224, 8978, 1783, 6055, 2288, 21292, 3615, 37495, 22653, 45164, 48812, 25513, 8315, 8978, 1783, 6055, 2288, 21292, 3615, 8717, 2655, 9778, 1211, 9381, 9154, 3714, 9957, 22807, 9154, 16247, 3794, 21136, 6027, 3555, 7251, 3555, 7435, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 37495, 9566, 1829, 23275, 16472, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 1783], "avg_logprob": -0.2135922350351093, "compression_ratio": 1.9022988505747127, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 415.01, "end": 416.01, "word": "طيب", "probability": 0.7088216145833334}, {"start": 416.01, "end": 416.87, "word": " بدنا", "probability": 0.57537841796875}, {"start": 416.87, "end": 417.57, "word": " نتخلص", "probability": 0.97314453125}, {"start": 417.57, "end": 417.73, "word": " من", "probability": 0.97509765625}, {"start": 417.73, "end": 418.29, "word": " الشغل", "probability": 0.6924641927083334}, {"start": 418.29, "end": 418.69, "word": " هذه", "probability": 0.2330322265625}, {"start": 418.69, "end": 419.13, "word": " يبجى", "probability": 0.7054443359375}, {"start": 419.13, "end": 419.39, "word": " هذا", "probability": 0.7197265625}, {"start": 419.39, "end": 419.75, "word": " أس", "probability": 0.472412109375}, {"start": 419.75, "end": 420.05, "word": " سالب", "probability": 0.8577473958333334}, {"start": 420.05, "end": 420.33, "word": " شو", "probability": 0.78564453125}, {"start": 420.33, "end": 420.73, "word": " رايك", "probability": 0.8492838541666666}, {"start": 420.73, "end": 421.17, "word": " نضرب", "probability": 0.9837239583333334}, {"start": 421.17, "end": 421.73, "word": " كله", "probability": 0.963134765625}, {"start": 421.73, "end": 421.95, "word": " في", "probability": 0.90625}, {"start": 421.95, "end": 422.37, "word": " X", "probability": 0.5185546875}, {"start": 422.37, "end": 423.11, "word": " تربيع", "probability": 0.8089599609375}, {"start": 423.11, "end": 423.97, "word": " يعني", "probability": 0.775390625}, {"start": 423.97, "end": 424.25, "word": " لو", "probability": 0.95458984375}, {"start": 424.25, "end": 424.85, "word": " ضربنا", "probability": 0.9930013020833334}, {"start": 424.85, "end": 425.01, "word": " في", "probability": 0.9189453125}, {"start": 425.01, "end": 425.31, "word": " X", "probability": 0.984375}, {"start": 425.31, "end": 425.75, "word": " تربيع", "probability": 0.951416015625}, {"start": 425.75, "end": 426.37, "word": " نتخلص", "probability": 0.95322265625}, {"start": 426.37, "end": 426.61, "word": " من", "probability": 0.970703125}, {"start": 426.61, "end": 427.41, "word": " مين؟", "probability": 0.6667073567708334}, {"start": 427.41, "end": 427.63, "word": " من", "probability": 0.94287109375}, {"start": 427.63, "end": 428.29, "word": " الأس", "probability": 0.922119140625}, {"start": 428.29, "end": 429.35, "word": " السالب", "probability": 0.8938802083333334}, {"start": 429.35, "end": 430.23, "word": " يبجى", "probability": 0.9583740234375}, {"start": 430.23, "end": 430.51, "word": " هذا", "probability": 0.9599609375}, {"start": 430.51, "end": 431.09, "word": " الكلام", "probability": 0.9619140625}, {"start": 431.09, "end": 431.55, "word": " بده", "probability": 0.4288330078125}, {"start": 431.55, "end": 432.25, "word": " يعطيلك", "probability": 0.8980712890625}, {"start": 432.25, "end": 432.61, "word": " ان", "probability": 0.4794921875}, {"start": 432.61, "end": 433.15, "word": " X", "probability": 0.95751953125}, {"start": 433.15, "end": 433.95, "word": " تربيع", "probability": 0.96533203125}, {"start": 433.95, "end": 434.85, "word": " زائد", "probability": 0.7527669270833334}, {"start": 434.85, "end": 435.51, "word": " واحد", "probability": 0.798583984375}, {"start": 435.51, "end": 436.29, "word": " يساوي", "probability": 0.8670654296875}, {"start": 436.29, "end": 436.83, "word": " اتنين", "probability": 0.9300537109375}, {"start": 436.83, "end": 437.21, "word": " X", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 22, "seek": 46234, "start": 437.5, "end": 462.34, "text": "X تربيع في واحد ب X تربيع X تربيع في X السالب اتنين ب X او ال zero اللي هو بواحد X تربيع مع ال X بيضل X في البصر هذي لو اعاد ترتيبها بصير عندي X تربيع المثال الرابع بيقولي find Y prime Y prime", "tokens": [55, 6055, 2288, 21292, 3615, 8978, 36764, 24401, 4724, 1783, 6055, 2288, 21292, 3615, 1783, 6055, 2288, 21292, 3615, 8978, 1783, 21136, 6027, 3555, 1975, 2655, 1863, 9957, 4724, 1783, 1975, 2407, 2423, 4018, 13672, 1829, 31439, 4724, 14407, 24401, 1783, 6055, 2288, 21292, 3615, 20449, 2423, 1783, 4724, 1829, 11242, 1211, 1783, 8978, 29739, 9381, 2288, 8032, 8848, 1829, 45164, 1975, 3615, 18513, 6055, 2288, 31371, 3555, 11296, 4724, 9381, 13546, 18871, 16254, 1783, 6055, 2288, 21292, 3615, 9673, 12984, 6027, 34892, 16758, 3615, 4724, 1829, 39648, 1829, 915, 398, 5835, 398, 5835], "avg_logprob": -0.32779604949449237, "compression_ratio": 1.8128654970760234, "no_speech_prob": 0.0, "words": [{"start": 437.5, "end": 437.92, "word": "X", "probability": 0.0826416015625}, {"start": 437.92, "end": 438.36, "word": " تربيع", "probability": 0.602294921875}, {"start": 438.36, "end": 438.5, "word": " في", "probability": 0.5400390625}, {"start": 438.5, "end": 438.8, "word": " واحد", "probability": 0.8271484375}, {"start": 438.8, "end": 438.94, "word": " ب", "probability": 0.74951171875}, {"start": 438.94, "end": 439.08, "word": " X", "probability": 0.6328125}, {"start": 439.08, "end": 439.62, "word": " تربيع", "probability": 0.94140625}, {"start": 439.62, "end": 440.3, "word": " X", "probability": 0.734375}, {"start": 440.3, "end": 440.78, "word": " تربيع", "probability": 0.9537353515625}, {"start": 440.78, "end": 441.0, "word": " في", "probability": 0.9140625}, {"start": 441.0, "end": 441.44, "word": " X", "probability": 0.94140625}, {"start": 441.44, "end": 442.02, "word": " السالب", "probability": 0.4207356770833333}, {"start": 442.02, "end": 442.54, "word": " اتنين", "probability": 0.926025390625}, {"start": 442.54, "end": 442.98, "word": " ب", "probability": 0.90625}, {"start": 442.98, "end": 443.36, "word": " X", "probability": 0.9130859375}, {"start": 443.36, "end": 443.72, "word": " او", "probability": 0.556396484375}, {"start": 443.72, "end": 443.96, "word": " ال", "probability": 0.64404296875}, {"start": 443.96, "end": 444.34, "word": " zero", "probability": 0.2088623046875}, {"start": 444.34, "end": 444.56, "word": " اللي", "probability": 0.7724609375}, {"start": 444.56, "end": 444.72, "word": " هو", "probability": 0.986328125}, {"start": 444.72, "end": 445.36, "word": " بواحد", "probability": 0.7306315104166666}, {"start": 445.36, "end": 446.06, "word": " X", "probability": 0.85693359375}, {"start": 446.06, "end": 446.6, "word": " تربيع", "probability": 0.932861328125}, {"start": 446.6, "end": 446.8, "word": " مع", "probability": 0.91845703125}, {"start": 446.8, "end": 446.96, "word": " ال", "probability": 0.74755859375}, {"start": 446.96, "end": 447.14, "word": " X", "probability": 0.9404296875}, {"start": 447.14, "end": 447.52, "word": " بيضل", "probability": 0.618408203125}, {"start": 447.52, "end": 447.9, "word": " X", "probability": 0.94873046875}, {"start": 447.9, "end": 448.06, "word": " في", "probability": 0.75634765625}, {"start": 448.06, "end": 448.88, "word": " البصر", "probability": 0.6321614583333334}, {"start": 448.88, "end": 449.32, "word": " هذي", "probability": 0.5801595052083334}, {"start": 449.32, "end": 449.54, "word": " لو", "probability": 0.98095703125}, {"start": 449.54, "end": 450.1, "word": " اعاد", "probability": 0.5556640625}, {"start": 450.1, "end": 450.98, "word": " ترتيبها", "probability": 0.9369140625}, {"start": 450.98, "end": 451.86, "word": " بصير", "probability": 0.8971354166666666}, {"start": 451.86, "end": 452.44, "word": " عندي", "probability": 0.6571044921875}, {"start": 452.44, "end": 452.94, "word": " X", "probability": 0.97607421875}, {"start": 452.94, "end": 453.84, "word": " تربيع", "probability": 0.964111328125}, {"start": 453.84, "end": 454.98, "word": " المثال", "probability": 0.9212239583333334}, {"start": 454.98, "end": 455.92, "word": " الرابع", "probability": 0.9910481770833334}, {"start": 455.92, "end": 457.56, "word": " بيقولي", "probability": 0.554534912109375}, {"start": 457.56, "end": 458.42, "word": " find", "probability": 0.73193359375}, {"start": 458.42, "end": 459.54, "word": " Y", "probability": 0.71337890625}, {"start": 459.54, "end": 460.28, "word": " prime", "probability": 0.5322265625}, {"start": 460.28, "end": 461.48, "word": " Y", "probability": 0.880859375}, {"start": 461.48, "end": 462.34, "word": " prime", "probability": 0.88134765625}], "temperature": 1.0}, {"id": 23, "seek": 48582, "start": 464.06, "end": 485.82, "text": "for each of the following بدنا مشتقة كله مما يأتي نمرة واحد Y تساوي E أس واحد زائد X تربية solution", "tokens": [2994, 1184, 295, 264, 3480, 47525, 8315, 37893, 2655, 28671, 28242, 3224, 3714, 15042, 7251, 10721, 31371, 8717, 2304, 25720, 36764, 24401, 398, 6055, 3794, 995, 45865, 462, 5551, 3794, 36764, 24401, 30767, 16373, 3215, 1783, 6055, 25513, 10632, 3827], "avg_logprob": -0.3492759204492336, "compression_ratio": 1.1587301587301588, "no_speech_prob": 0.0, "words": [{"start": 464.06, "end": 464.84, "word": "for", "probability": 0.2724609375}, {"start": 464.84, "end": 466.34, "word": " each", "probability": 0.9541015625}, {"start": 466.34, "end": 467.68, "word": " of", "probability": 0.96240234375}, {"start": 467.68, "end": 468.84, "word": " the", "probability": 0.89453125}, {"start": 468.84, "end": 470.22, "word": " following", "probability": 0.818359375}, {"start": 470.22, "end": 471.32, "word": " بدنا", "probability": 0.5704345703125}, {"start": 471.32, "end": 472.22, "word": " مشتقة", "probability": 0.8160807291666666}, {"start": 472.22, "end": 472.96, "word": " كله", "probability": 0.6500244140625}, {"start": 472.96, "end": 473.48, "word": " مما", "probability": 0.89794921875}, {"start": 473.48, "end": 474.28, "word": " يأتي", "probability": 0.523681640625}, {"start": 474.28, "end": 475.62, "word": " نمرة", "probability": 0.6868489583333334}, {"start": 475.62, "end": 476.28, "word": " واحد", "probability": 0.986572265625}, {"start": 476.28, "end": 477.22, "word": " Y", "probability": 0.195068359375}, {"start": 477.22, "end": 478.26, "word": " تساوي", "probability": 0.8682861328125}, {"start": 478.26, "end": 479.3, "word": " E", "probability": 0.525390625}, {"start": 479.3, "end": 479.72, "word": " أس", "probability": 0.7001953125}, {"start": 479.72, "end": 480.48, "word": " واحد", "probability": 0.98095703125}, {"start": 480.48, "end": 481.22, "word": " زائد", "probability": 0.9178059895833334}, {"start": 481.22, "end": 481.58, "word": " X", "probability": 0.9853515625}, {"start": 481.58, "end": 482.2, "word": " تربية", "probability": 0.6925455729166666}, {"start": 482.2, "end": 485.82, "word": " solution", "probability": 0.76025390625}], "temperature": 1.0}, {"id": 24, "seek": 50720, "start": 489.32, "end": 507.2, "text": "الاشتقاق بسيط y prime يساوي ال exponential زي مهين مضروبة في مين؟ في مشتقة الأس قداش مشتقة الأس؟ نقص ومشتقة الأحد؟ Zero سؤال التاني", "tokens": [6027, 33599, 2655, 4587, 995, 4587, 4724, 3794, 1829, 9566, 288, 5835, 7251, 3794, 995, 45865, 2423, 21510, 30767, 1829, 3714, 3224, 9957, 3714, 11242, 32887, 49401, 8978, 3714, 9957, 22807, 8978, 37893, 2655, 28671, 16247, 3794, 12174, 3215, 33599, 37893, 2655, 28671, 16247, 3794, 22807, 8717, 4587, 9381, 4032, 2304, 8592, 2655, 28671, 16247, 24401, 22807, 17182, 8608, 33604, 6027, 16712, 7649, 1829], "avg_logprob": -0.3487980769230769, "compression_ratio": 1.4829931972789117, "no_speech_prob": 0.0, "words": [{"start": 489.32, "end": 490.14, "word": "الاشتقاق", "probability": 0.6878255208333334}, {"start": 490.14, "end": 490.8, "word": " بسيط", "probability": 0.9930419921875}, {"start": 490.8, "end": 491.36, "word": " y", "probability": 0.1981201171875}, {"start": 491.36, "end": 492.0, "word": " prime", "probability": 0.27783203125}, {"start": 492.0, "end": 492.64, "word": " يساوي", "probability": 0.7989501953125}, {"start": 492.64, "end": 493.3, "word": " ال", "probability": 0.6767578125}, {"start": 493.3, "end": 494.36, "word": " exponential", "probability": 0.41259765625}, {"start": 494.36, "end": 495.5, "word": " زي", "probability": 0.944091796875}, {"start": 495.5, "end": 496.06, "word": " مهين", "probability": 0.6097819010416666}, {"start": 496.06, "end": 496.8, "word": " مضروبة", "probability": 0.931884765625}, {"start": 496.8, "end": 497.02, "word": " في", "probability": 0.8466796875}, {"start": 497.02, "end": 497.66, "word": " مين؟", "probability": 0.77001953125}, {"start": 497.66, "end": 498.38, "word": " في", "probability": 0.6416015625}, {"start": 498.38, "end": 499.08, "word": " مشتقة", "probability": 0.861328125}, {"start": 499.08, "end": 499.56, "word": " الأس", "probability": 0.728271484375}, {"start": 499.56, "end": 500.04, "word": " قداش", "probability": 0.5618489583333334}, {"start": 500.04, "end": 500.66, "word": " مشتقة", "probability": 0.9757486979166666}, {"start": 500.66, "end": 501.8, "word": " الأس؟", "probability": 0.8671875}, {"start": 501.8, "end": 502.96, "word": " نقص", "probability": 0.6092122395833334}, {"start": 502.96, "end": 503.62, "word": " ومشتقة", "probability": 0.789599609375}, {"start": 503.62, "end": 504.78, "word": " الأحد؟", "probability": 0.5719807942708334}, {"start": 504.78, "end": 506.04, "word": " Zero", "probability": 0.3974609375}, {"start": 506.04, "end": 506.66, "word": " سؤال", "probability": 0.8193359375}, {"start": 506.66, "end": 507.2, "word": " التاني", "probability": 0.7714029947916666}], "temperature": 1.0}, {"id": 25, "seek": 53091, "start": 508.91, "end": 530.91, "text": "Y تساوي E أصين ال X وكل هذا مضروب في لن X تربيع زائد واحد هذا يعتبر مشتقة حاصل ضرب دالتين يبقى ال Y يساوي دالة الأولى", "tokens": [56, 6055, 3794, 995, 45865, 462, 5551, 9381, 9957, 2423, 1783, 4032, 28820, 23758, 3714, 11242, 32887, 3555, 8978, 5296, 1863, 1783, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 23758, 7251, 34268, 26890, 37893, 2655, 28671, 11331, 33546, 1211, 48812, 25513, 11778, 6027, 2655, 9957, 7251, 3555, 4587, 7578, 2423, 398, 7251, 3794, 995, 45865, 11778, 6027, 3660, 16247, 12610, 7578], "avg_logprob": -0.29003907088190317, "compression_ratio": 1.5037037037037038, "no_speech_prob": 0.0, "words": [{"start": 508.91, "end": 509.49, "word": "Y", "probability": 0.2281494140625}, {"start": 509.49, "end": 510.27, "word": " تساوي", "probability": 0.629425048828125}, {"start": 510.27, "end": 510.85, "word": " E", "probability": 0.9111328125}, {"start": 510.85, "end": 512.05, "word": " أصين", "probability": 0.4209798177083333}, {"start": 512.05, "end": 512.39, "word": " ال", "probability": 0.477783203125}, {"start": 512.39, "end": 512.97, "word": " X", "probability": 0.81884765625}, {"start": 512.97, "end": 514.17, "word": " وكل", "probability": 0.68798828125}, {"start": 514.17, "end": 514.65, "word": " هذا", "probability": 0.9375}, {"start": 514.65, "end": 515.69, "word": " مضروب", "probability": 0.9537353515625}, {"start": 515.69, "end": 516.43, "word": " في", "probability": 0.76953125}, {"start": 516.43, "end": 517.11, "word": " لن", "probability": 0.420135498046875}, {"start": 517.11, "end": 517.77, "word": " X", "probability": 0.93359375}, {"start": 517.77, "end": 518.67, "word": " تربيع", "probability": 0.7476806640625}, {"start": 518.67, "end": 520.01, "word": " زائد", "probability": 0.89208984375}, {"start": 520.01, "end": 520.59, "word": " واحد", "probability": 0.910400390625}, {"start": 520.59, "end": 521.79, "word": " هذا", "probability": 0.80029296875}, {"start": 521.79, "end": 522.39, "word": " يعتبر", "probability": 0.73876953125}, {"start": 522.39, "end": 523.05, "word": " مشتقة", "probability": 0.75830078125}, {"start": 523.05, "end": 523.95, "word": " حاصل", "probability": 0.9358723958333334}, {"start": 523.95, "end": 524.59, "word": " ضرب", "probability": 0.9765625}, {"start": 524.59, "end": 526.51, "word": " دالتين", "probability": 0.8646240234375}, {"start": 526.51, "end": 527.49, "word": " يبقى", "probability": 0.9642333984375}, {"start": 527.49, "end": 527.63, "word": " ال", "probability": 0.8115234375}, {"start": 527.63, "end": 527.93, "word": " Y", "probability": 0.939453125}, {"start": 527.93, "end": 528.99, "word": " يساوي", "probability": 0.773193359375}, {"start": 528.99, "end": 529.95, "word": " دالة", "probability": 0.78857421875}, {"start": 529.95, "end": 530.91, "word": " الأولى", "probability": 0.9542643229166666}], "temperature": 1.0}, {"id": 26, "seek": 54973, "start": 532.15, "end": 549.73, "text": "في مشتقة الدالة التانية مشتقة الان واحد على اللي دخل الان في مشتقة ما دخل الان اللي هو بجداش باتنين اكس الأولى مشتقة التانية الزائد التانية", "tokens": [41185, 37893, 2655, 28671, 32748, 6027, 3660, 16712, 7649, 10632, 37893, 2655, 28671, 2423, 7649, 36764, 24401, 15844, 13672, 1829, 11778, 9778, 1211, 2423, 7649, 8978, 37893, 2655, 28671, 19446, 11778, 9778, 1211, 2423, 7649, 13672, 1829, 31439, 4724, 7435, 3215, 33599, 4724, 9307, 1863, 9957, 1975, 4117, 3794, 16247, 12610, 7578, 37893, 2655, 28671, 16712, 7649, 10632, 6024, 110, 16373, 3215, 16712, 7649, 10632], "avg_logprob": -0.24337121595939, "compression_ratio": 2.0569105691056913, "no_speech_prob": 0.0, "words": [{"start": 532.15, "end": 532.37, "word": "في", "probability": 0.34423828125}, {"start": 532.37, "end": 533.19, "word": " مشتقة", "probability": 0.85302734375}, {"start": 533.19, "end": 533.95, "word": " الدالة", "probability": 0.6625162760416666}, {"start": 533.95, "end": 534.35, "word": " التانية", "probability": 0.8904622395833334}, {"start": 534.35, "end": 535.03, "word": " مشتقة", "probability": 0.8321940104166666}, {"start": 535.03, "end": 535.53, "word": " الان", "probability": 0.49066162109375}, {"start": 535.53, "end": 536.63, "word": " واحد", "probability": 0.896240234375}, {"start": 536.63, "end": 537.49, "word": " على", "probability": 0.8310546875}, {"start": 537.49, "end": 537.81, "word": " اللي", "probability": 0.906494140625}, {"start": 537.81, "end": 538.51, "word": " دخل", "probability": 0.8264973958333334}, {"start": 538.51, "end": 539.27, "word": " الان", "probability": 0.84228515625}, {"start": 539.27, "end": 539.99, "word": " في", "probability": 0.7841796875}, {"start": 539.99, "end": 540.97, "word": " مشتقة", "probability": 0.9773763020833334}, {"start": 540.97, "end": 541.21, "word": " ما", "probability": 0.8994140625}, {"start": 541.21, "end": 541.81, "word": " دخل", "probability": 0.91943359375}, {"start": 541.81, "end": 542.11, "word": " الان", "probability": 0.840087890625}, {"start": 542.11, "end": 542.23, "word": " اللي", "probability": 0.92822265625}, {"start": 542.23, "end": 542.37, "word": " هو", "probability": 0.986328125}, {"start": 542.37, "end": 543.09, "word": " بجداش", "probability": 0.8369140625}, {"start": 543.09, "end": 545.13, "word": " باتنين", "probability": 0.703369140625}, {"start": 545.13, "end": 545.67, "word": " اكس", "probability": 0.81298828125}, {"start": 545.67, "end": 546.29, "word": " الأولى", "probability": 0.70654296875}, {"start": 546.29, "end": 546.83, "word": " مشتقة", "probability": 0.9680989583333334}, {"start": 546.83, "end": 547.35, "word": " التانية", "probability": 0.9586588541666666}, {"start": 547.35, "end": 548.13, "word": " الزائد", "probability": 0.78955078125}, {"start": 548.13, "end": 549.73, "word": " التانية", "probability": 0.9742838541666666}], "temperature": 1.0}, {"id": 27, "seek": 56329, "start": 550.07, "end": 563.29, "text": "في مشتقة الأول ال X بننشل زي ما هي ضرب مشتقة الأس اللي هو man ب cosine ال X اختصارات مافيش خليها زي ما هي واتوكل على الله", "tokens": [41185, 37893, 2655, 28671, 16247, 12610, 2423, 1783, 44945, 1863, 8592, 1211, 30767, 1829, 19446, 39896, 48812, 25513, 37893, 2655, 28671, 16247, 3794, 13672, 1829, 31439, 587, 4724, 23565, 2423, 1783, 1975, 46456, 9381, 9640, 9307, 19446, 41185, 8592, 16490, 20292, 11296, 30767, 1829, 19446, 39896, 4032, 9307, 2407, 28820, 15844, 21984], "avg_logprob": -0.24336674528301888, "compression_ratio": 1.5223880597014925, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 550.07, "end": 550.37, "word": "في", "probability": 0.38427734375}, {"start": 550.37, "end": 551.21, "word": " مشتقة", "probability": 0.8649088541666666}, {"start": 551.21, "end": 551.53, "word": " الأول", "probability": 0.635986328125}, {"start": 551.53, "end": 551.71, "word": " ال", "probability": 0.2978515625}, {"start": 551.71, "end": 551.89, "word": " X", "probability": 0.45068359375}, {"start": 551.89, "end": 552.81, "word": " بننشل", "probability": 0.787841796875}, {"start": 552.81, "end": 553.37, "word": " زي", "probability": 0.92578125}, {"start": 553.37, "end": 553.65, "word": " ما", "probability": 0.9560546875}, {"start": 553.65, "end": 554.09, "word": " هي", "probability": 0.71875}, {"start": 554.09, "end": 554.97, "word": " ضرب", "probability": 0.949462890625}, {"start": 554.97, "end": 555.79, "word": " مشتقة", "probability": 0.97998046875}, {"start": 555.79, "end": 556.33, "word": " الأس", "probability": 0.77099609375}, {"start": 556.33, "end": 556.55, "word": " اللي", "probability": 0.78759765625}, {"start": 556.55, "end": 556.75, "word": " هو", "probability": 0.8349609375}, {"start": 556.75, "end": 557.17, "word": " man", "probability": 0.556640625}, {"start": 557.17, "end": 557.87, "word": " ب", "probability": 0.93359375}, {"start": 557.87, "end": 558.49, "word": " cosine", "probability": 0.34375}, {"start": 558.49, "end": 558.95, "word": " ال", "probability": 0.73486328125}, {"start": 558.95, "end": 559.25, "word": " X", "probability": 0.951171875}, {"start": 559.25, "end": 560.47, "word": " اختصارات", "probability": 0.91005859375}, {"start": 560.47, "end": 560.99, "word": " مافيش", "probability": 0.8440755208333334}, {"start": 560.99, "end": 561.57, "word": " خليها", "probability": 0.9142252604166666}, {"start": 561.57, "end": 561.93, "word": " زي", "probability": 0.991455078125}, {"start": 561.93, "end": 562.05, "word": " ما", "probability": 0.96875}, {"start": 562.05, "end": 562.19, "word": " هي", "probability": 0.8740234375}, {"start": 562.19, "end": 562.75, "word": " واتوكل", "probability": 0.72216796875}, {"start": 562.75, "end": 563.03, "word": " على", "probability": 0.857421875}, {"start": 563.03, "end": 563.29, "word": " الله", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 28, "seek": 58352, "start": 564.08, "end": 583.52, "text": "سؤال التالت بيقول لي Y تساوي تلاتة logarithm للأساس تمانية لمين ل logarithm X للأساس اتنين يبقى هذه مشتقة log ال log", "tokens": [3794, 33604, 6027, 16712, 6027, 2655, 4724, 1829, 39648, 32239, 398, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 41473, 32674, 24976, 10721, 3794, 32277, 46811, 7649, 10632, 32767, 9957, 5296, 41473, 32674, 1783, 24976, 10721, 3794, 32277, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 29538, 37893, 2655, 28671, 3565, 2423, 3565], "avg_logprob": -0.19994213100936678, "compression_ratio": 1.4566929133858268, "no_speech_prob": 0.0, "words": [{"start": 564.08, "end": 564.72, "word": "سؤال", "probability": 0.9334309895833334}, {"start": 564.72, "end": 565.5, "word": " التالت", "probability": 0.8831380208333334}, {"start": 565.5, "end": 566.82, "word": " بيقول", "probability": 0.8601888020833334}, {"start": 566.82, "end": 567.04, "word": " لي", "probability": 0.495849609375}, {"start": 567.04, "end": 567.5, "word": " Y", "probability": 0.638671875}, {"start": 567.5, "end": 568.48, "word": " تساوي", "probability": 0.8555908203125}, {"start": 568.48, "end": 570.22, "word": " تلاتة", "probability": 0.872802734375}, {"start": 570.22, "end": 571.92, "word": " logarithm", "probability": 0.94384765625}, {"start": 571.92, "end": 573.26, "word": " للأساس", "probability": 0.9254150390625}, {"start": 573.26, "end": 574.46, "word": " تمانية", "probability": 0.890625}, {"start": 574.46, "end": 575.72, "word": " لمين", "probability": 0.797119140625}, {"start": 575.72, "end": 576.08, "word": " ل", "probability": 0.68896484375}, {"start": 576.08, "end": 577.26, "word": " logarithm", "probability": 0.928466796875}, {"start": 577.26, "end": 577.92, "word": " X", "probability": 0.9482421875}, {"start": 577.92, "end": 579.08, "word": " للأساس", "probability": 0.9599609375}, {"start": 579.08, "end": 579.88, "word": " اتنين", "probability": 0.9434814453125}, {"start": 579.88, "end": 581.04, "word": " يبقى", "probability": 0.8536376953125}, {"start": 581.04, "end": 581.32, "word": " هذه", "probability": 0.134765625}, {"start": 581.32, "end": 582.16, "word": " مشتقة", "probability": 0.8948567708333334}, {"start": 582.16, "end": 582.72, "word": " log", "probability": 0.300048828125}, {"start": 582.72, "end": 583.06, "word": " ال", "probability": 0.411865234375}, {"start": 583.06, "end": 583.52, "word": " log", "probability": 0.8671875}], "temperature": 1.0}, {"id": 29, "seek": 60357, "start": 588.47, "end": 603.57, "text": "وطلبنا منكم تحلوا مشتقة لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن ل", "tokens": [2407, 9566, 46152, 8315, 9154, 24793, 6055, 5016, 1211, 14407, 37893, 2655, 28671, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296, 1863, 5296], "avg_logprob": -0.11590277883741591, "compression_ratio": 9.516666666666667, "no_speech_prob": 0.0, "words": [{"start": 588.47, "end": 589.47, "word": "وطلبنا", "probability": 0.48702239990234375}, {"start": 589.47, "end": 589.97, "word": " منكم", "probability": 0.76025390625}, {"start": 589.97, "end": 590.79, "word": " تحلوا", "probability": 0.764892578125}, {"start": 590.79, "end": 591.53, "word": " مشتقة", "probability": 0.9202473958333334}, {"start": 591.53, "end": 592.09, "word": " لن", "probability": 0.5943603515625}, {"start": 592.09, "end": 592.79, "word": " لن", "probability": 0.8994140625}, {"start": 592.79, "end": 593.45, "word": " لن", "probability": 0.949462890625}, {"start": 593.45, "end": 594.75, "word": " لن", "probability": 0.73486328125}, {"start": 594.75, "end": 595.43, "word": " لن", "probability": 0.565185546875}, {"start": 595.43, "end": 595.43, "word": " لن", "probability": 0.771484375}, {"start": 595.43, "end": 595.43, "word": " لن", "probability": 0.85693359375}, {"start": 595.43, "end": 595.43, "word": " لن", "probability": 0.874267578125}, {"start": 595.43, "end": 595.43, "word": " لن", "probability": 0.875}, {"start": 595.43, "end": 595.43, "word": " لن", "probability": 0.873291015625}, {"start": 595.43, "end": 595.43, "word": " لن", "probability": 0.87060546875}, {"start": 595.43, "end": 595.43, "word": " لن", "probability": 0.86962890625}, {"start": 595.43, "end": 595.43, "word": " لن", "probability": 0.8681640625}, {"start": 595.43, "end": 595.43, "word": " لن", "probability": 0.869384765625}, {"start": 595.43, "end": 595.43, "word": " لن", "probability": 0.8662109375}, {"start": 595.43, "end": 595.77, "word": " لن", "probability": 0.869140625}, {"start": 595.77, "end": 596.13, "word": " لن", "probability": 0.87060546875}, {"start": 596.13, "end": 596.25, "word": " لن", "probability": 0.87353515625}, {"start": 596.25, "end": 596.25, "word": " لن", "probability": 0.87744140625}, {"start": 596.25, "end": 596.25, "word": " لن", "probability": 0.881103515625}, {"start": 596.25, "end": 596.25, "word": " لن", "probability": 0.885498046875}, {"start": 596.25, "end": 597.43, "word": " لن", "probability": 0.8896484375}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.892822265625}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.895751953125}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.899658203125}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.90234375}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.90380859375}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.9072265625}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.913818359375}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.913330078125}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.916259765625}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.917724609375}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.91943359375}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.922119140625}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.922119140625}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.926025390625}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.927001953125}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.928955078125}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.930908203125}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.931884765625}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.932861328125}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.93408203125}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.935546875}, {"start": 597.43, "end": 597.43, "word": " لن", "probability": 0.937255859375}, {"start": 597.43, "end": 597.45, "word": " لن", "probability": 0.937255859375}, {"start": 597.45, "end": 597.47, "word": " لن", "probability": 0.9375}, {"start": 597.47, "end": 597.49, "word": " لن", "probability": 0.938720703125}, {"start": 597.49, "end": 597.53, "word": " لن", "probability": 0.939208984375}, {"start": 597.53, "end": 597.57, "word": " لن", "probability": 0.940185546875}, {"start": 597.57, "end": 597.59, "word": " لن", "probability": 0.9404296875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94140625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94091796875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.942626953125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.9423828125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.943115234375}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.943115234375}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94189453125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.943115234375}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94140625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.941162109375}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.9404296875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.942138671875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.940185546875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94091796875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.940673828125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.940673828125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.940185546875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.939697265625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.93994140625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.93896484375}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.941650390625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.940185546875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.93798828125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.938232421875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.939697265625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.93798828125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.938232421875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.93798828125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.935791015625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.939697265625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.938720703125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.93896484375}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.9365234375}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.93798828125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94140625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.942138671875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.93896484375}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94140625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.93994140625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94091796875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.942138671875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94287109375}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94287109375}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.942138671875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.9404296875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.942138671875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.940185546875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94091796875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94140625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.941650390625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.94580078125}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.946044921875}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.947265625}, {"start": 597.59, "end": 597.59, "word": " لن", "probability": 0.95166015625}, {"start": 597.59, "end": 603.33, "word": " لن", "probability": 0.9384765625}, {"start": 603.33, "end": 603.57, "word": " ل", "probability": 0.98046875}], "temperature": 1.0}, {"id": 30, "seek": 63326, "start": 610.5, "end": 633.26, "text": "واحد على X في لن اللي إيه؟ يبقى هذه أجتني كلها اللي بين جثين كلها ده اللي كأنها U يبقى واحد على U اللي هو ماني واحد على لج ال X للأساس اتنين في لن التمانية", "tokens": [14407, 24401, 15844, 1783, 8978, 5296, 1863, 13672, 1829, 11933, 1829, 3224, 22807, 7251, 3555, 4587, 7578, 29538, 5551, 7435, 2655, 22653, 28242, 11296, 13672, 1829, 49374, 10874, 12984, 9957, 28242, 11296, 11778, 3224, 13672, 1829, 9122, 33456, 11296, 624, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 624, 13672, 1829, 31439, 3714, 7649, 1829, 36764, 24401, 15844, 5296, 7435, 2423, 1783, 24976, 10721, 3794, 32277, 1975, 2655, 1863, 9957, 8978, 5296, 1863, 16712, 2304, 7649, 10632], "avg_logprob": -0.2522321366644525, "compression_ratio": 1.8689655172413793, "no_speech_prob": 0.0, "words": [{"start": 610.5, "end": 611.28, "word": "واحد", "probability": 0.6236572265625}, {"start": 611.28, "end": 611.68, "word": " على", "probability": 0.529296875}, {"start": 611.68, "end": 613.1, "word": " X", "probability": 0.462158203125}, {"start": 613.1, "end": 613.44, "word": " في", "probability": 0.71240234375}, {"start": 613.44, "end": 613.78, "word": " لن", "probability": 0.798583984375}, {"start": 613.78, "end": 614.2, "word": " اللي", "probability": 0.67138671875}, {"start": 614.2, "end": 614.6, "word": " إيه؟", "probability": 0.6468505859375}, {"start": 614.6, "end": 616.06, "word": " يبقى", "probability": 0.88623046875}, {"start": 616.06, "end": 616.4, "word": " هذه", "probability": 0.450927734375}, {"start": 616.4, "end": 617.14, "word": " أجتني", "probability": 0.8126220703125}, {"start": 617.14, "end": 617.8, "word": " كلها", "probability": 0.7724609375}, {"start": 617.8, "end": 618.06, "word": " اللي", "probability": 0.806884765625}, {"start": 618.06, "end": 618.44, "word": " بين", "probability": 0.986328125}, {"start": 618.44, "end": 619.12, "word": " جثين", "probability": 0.755859375}, {"start": 619.12, "end": 619.82, "word": " كلها", "probability": 0.614013671875}, {"start": 619.82, "end": 620.0, "word": " ده", "probability": 0.880615234375}, {"start": 620.0, "end": 620.18, "word": " اللي", "probability": 0.987548828125}, {"start": 620.18, "end": 621.06, "word": " كأنها", "probability": 0.8357747395833334}, {"start": 621.06, "end": 621.44, "word": " U", "probability": 0.89794921875}, {"start": 621.44, "end": 622.62, "word": " يبقى", "probability": 0.9642333984375}, {"start": 622.62, "end": 623.54, "word": " واحد", "probability": 0.98828125}, {"start": 623.54, "end": 624.2, "word": " على", "probability": 0.83837890625}, {"start": 624.2, "end": 624.9, "word": " U", "probability": 0.97314453125}, {"start": 624.9, "end": 625.6, "word": " اللي", "probability": 0.940673828125}, {"start": 625.6, "end": 625.8, "word": " هو", "probability": 0.75244140625}, {"start": 625.8, "end": 626.48, "word": " ماني", "probability": 0.579345703125}, {"start": 626.48, "end": 627.3, "word": " واحد", "probability": 0.86279296875}, {"start": 627.3, "end": 627.82, "word": " على", "probability": 0.88525390625}, {"start": 627.82, "end": 628.52, "word": " لج", "probability": 0.840576171875}, {"start": 628.52, "end": 628.8, "word": " ال", "probability": 0.2666015625}, {"start": 628.8, "end": 629.24, "word": " X", "probability": 0.962890625}, {"start": 629.24, "end": 630.34, "word": " للأساس", "probability": 0.9566650390625}, {"start": 630.34, "end": 631.02, "word": " اتنين", "probability": 0.9317626953125}, {"start": 631.02, "end": 631.58, "word": " في", "probability": 0.9609375}, {"start": 631.58, "end": 632.22, "word": " لن", "probability": 0.98828125}, {"start": 632.22, "end": 633.26, "word": " التمانية", "probability": 0.869873046875}], "temperature": 1.0}, {"id": 31, "seek": 64787, "start": 634.63, "end": 647.87, "text": "مصبوط هيك؟ في مشتقة اللي جوا ال log اللي برا، يعني مشتقة ال log اللي في الداخل، مشتقة هذا اللي هو 1 على X في الانتنين", "tokens": [2304, 9381, 3555, 2407, 9566, 39896, 4117, 22807, 8978, 37893, 2655, 28671, 13672, 1829, 10874, 14407, 2423, 3565, 13672, 1829, 4724, 23557, 12399, 37495, 22653, 37893, 2655, 28671, 2423, 3565, 13672, 1829, 8978, 32748, 47283, 1211, 12399, 37893, 2655, 28671, 23758, 13672, 1829, 31439, 502, 15844, 1783, 8978, 2423, 7649, 2655, 1863, 9957], "avg_logprob": -0.23509838073341935, "compression_ratio": 1.5952380952380953, "no_speech_prob": 0.0, "words": [{"start": 634.63, "end": 635.17, "word": "مصبوط", "probability": 0.803271484375}, {"start": 635.17, "end": 635.63, "word": " هيك؟", "probability": 0.490966796875}, {"start": 635.63, "end": 636.45, "word": " في", "probability": 0.87548828125}, {"start": 636.45, "end": 637.51, "word": " مشتقة", "probability": 0.9075520833333334}, {"start": 637.51, "end": 638.33, "word": " اللي", "probability": 0.915283203125}, {"start": 638.33, "end": 638.63, "word": " جوا", "probability": 0.803955078125}, {"start": 638.63, "end": 638.77, "word": " ال", "probability": 0.48681640625}, {"start": 638.77, "end": 638.95, "word": " log", "probability": 0.58642578125}, {"start": 638.95, "end": 639.17, "word": " اللي", "probability": 0.97900390625}, {"start": 639.17, "end": 639.51, "word": " برا،", "probability": 0.8297526041666666}, {"start": 639.51, "end": 639.63, "word": " يعني", "probability": 0.8701171875}, {"start": 639.63, "end": 640.21, "word": " مشتقة", "probability": 0.962890625}, {"start": 640.21, "end": 640.33, "word": " ال", "probability": 0.8681640625}, {"start": 640.33, "end": 640.53, "word": " log", "probability": 0.96435546875}, {"start": 640.53, "end": 640.75, "word": " اللي", "probability": 0.991943359375}, {"start": 640.75, "end": 640.89, "word": " في", "probability": 0.9609375}, {"start": 640.89, "end": 641.91, "word": " الداخل،", "probability": 0.85650634765625}, {"start": 641.91, "end": 642.91, "word": " مشتقة", "probability": 0.96923828125}, {"start": 642.91, "end": 643.39, "word": " هذا", "probability": 0.8427734375}, {"start": 643.39, "end": 643.67, "word": " اللي", "probability": 0.946044921875}, {"start": 643.67, "end": 643.95, "word": " هو", "probability": 0.990234375}, {"start": 643.95, "end": 644.65, "word": " 1", "probability": 0.64404296875}, {"start": 644.65, "end": 645.67, "word": " على", "probability": 0.8017578125}, {"start": 645.67, "end": 646.33, "word": " X", "probability": 0.499267578125}, {"start": 646.33, "end": 646.75, "word": " في", "probability": 0.88818359375}, {"start": 646.75, "end": 647.87, "word": " الانتنين", "probability": 0.669677734375}], "temperature": 1.0}, {"id": 32, "seek": 67183, "start": 650.01, "end": 671.83, "text": "نبسط هذا المقدار يساوي تلاتة على log X للأساس اتنين لن تمانية للن اتنين تكييف يعني تلاتة في لن اتنين يبقى هذا تلاتة في لن اتنين", "tokens": [1863, 3555, 3794, 9566, 23758, 9673, 28543, 9640, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 15844, 3565, 1783, 24976, 10721, 3794, 32277, 1975, 2655, 1863, 9957, 5296, 1863, 46811, 7649, 10632, 5296, 1211, 1863, 1975, 2655, 1863, 9957, 6055, 4117, 1829, 33911, 37495, 22653, 6055, 1211, 9307, 3660, 8978, 5296, 1863, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 23758, 6055, 1211, 9307, 3660, 8978, 5296, 1863, 1975, 2655, 1863, 9957], "avg_logprob": -0.177011979769354, "compression_ratio": 1.7716535433070866, "no_speech_prob": 0.0, "words": [{"start": 650.01, "end": 650.83, "word": "نبسط", "probability": 0.6912841796875}, {"start": 650.83, "end": 651.09, "word": " هذا", "probability": 0.677734375}, {"start": 651.09, "end": 651.89, "word": " المقدار", "probability": 0.8699544270833334}, {"start": 651.89, "end": 653.11, "word": " يساوي", "probability": 0.8624267578125}, {"start": 653.11, "end": 654.47, "word": " تلاتة", "probability": 0.8494873046875}, {"start": 654.47, "end": 654.97, "word": " على", "probability": 0.63427734375}, {"start": 654.97, "end": 656.41, "word": " log", "probability": 0.7275390625}, {"start": 656.41, "end": 657.85, "word": " X", "probability": 0.3046875}, {"start": 657.85, "end": 659.15, "word": " للأساس", "probability": 0.900146484375}, {"start": 659.15, "end": 659.69, "word": " اتنين", "probability": 0.8951416015625}, {"start": 659.69, "end": 660.67, "word": " لن", "probability": 0.577392578125}, {"start": 660.67, "end": 661.69, "word": " تمانية", "probability": 0.9111328125}, {"start": 661.69, "end": 662.55, "word": " للن", "probability": 0.8653971354166666}, {"start": 662.55, "end": 663.47, "word": " اتنين", "probability": 0.953125}, {"start": 663.47, "end": 664.17, "word": " تكييف", "probability": 0.67724609375}, {"start": 664.17, "end": 664.81, "word": " يعني", "probability": 0.668701171875}, {"start": 664.81, "end": 666.01, "word": " تلاتة", "probability": 0.984130859375}, {"start": 666.01, "end": 666.19, "word": " في", "probability": 0.87841796875}, {"start": 666.19, "end": 666.65, "word": " لن", "probability": 0.99169921875}, {"start": 666.65, "end": 667.29, "word": " اتنين", "probability": 0.9815673828125}, {"start": 667.29, "end": 668.37, "word": " يبقى", "probability": 0.94384765625}, {"start": 668.37, "end": 668.89, "word": " هذا", "probability": 0.9130859375}, {"start": 668.89, "end": 670.35, "word": " تلاتة", "probability": 0.97900390625}, {"start": 670.35, "end": 670.71, "word": " في", "probability": 0.97412109375}, {"start": 670.71, "end": 671.29, "word": " لن", "probability": 0.99365234375}, {"start": 671.29, "end": 671.83, "word": " اتنين", "probability": 0.9876708984375}], "temperature": 1.0}, {"id": 33, "seek": 69749, "start": 672.57, "end": 697.49, "text": "هذا واحد على اكس في لن اتنين اظن تلاتة مع تلاتة طب هذا ال log x للأساس اتنين مش عبارة عن لن ال X على لن اتنين يعني لن اتنين بتطلع فوق يبقى بده يصير لن اتنين على لن ال X هذه الأولانية بلانمين", "tokens": [3224, 15730, 36764, 24401, 15844, 1975, 4117, 3794, 8978, 5296, 1863, 1975, 2655, 1863, 9957, 1975, 19913, 1863, 6055, 1211, 9307, 3660, 20449, 6055, 1211, 9307, 3660, 23032, 3555, 23758, 2423, 3565, 2031, 24976, 10721, 3794, 32277, 1975, 2655, 1863, 9957, 37893, 6225, 3555, 9640, 3660, 18871, 5296, 1863, 2423, 1783, 15844, 5296, 1863, 1975, 2655, 1863, 9957, 37495, 22653, 5296, 1863, 1975, 2655, 1863, 9957, 39894, 9566, 1211, 3615, 6156, 30543, 7251, 3555, 4587, 7578, 47525, 3224, 7251, 9381, 13546, 5296, 1863, 1975, 2655, 1863, 9957, 15844, 5296, 1863, 2423, 1783, 29538, 16247, 12610, 7649, 10632, 4724, 1211, 7649, 2304, 9957], "avg_logprob": -0.23073422937717253, "compression_ratio": 1.9470588235294117, "no_speech_prob": 0.0, "words": [{"start": 672.57, "end": 673.33, "word": "هذا", "probability": 0.6474609375}, {"start": 673.33, "end": 674.61, "word": " واحد", "probability": 0.57696533203125}, {"start": 674.61, "end": 675.13, "word": " على", "probability": 0.5380859375}, {"start": 675.13, "end": 675.81, "word": " اكس", "probability": 0.72509765625}, {"start": 675.81, "end": 676.27, "word": " في", "probability": 0.53515625}, {"start": 676.27, "end": 676.61, "word": " لن", "probability": 0.8662109375}, {"start": 676.61, "end": 677.21, "word": " اتنين", "probability": 0.945556640625}, {"start": 677.21, "end": 678.45, "word": " اظن", "probability": 0.796142578125}, {"start": 678.45, "end": 679.15, "word": " تلاتة", "probability": 0.8724365234375}, {"start": 679.15, "end": 679.33, "word": " مع", "probability": 0.9755859375}, {"start": 679.33, "end": 680.31, "word": " تلاتة", "probability": 0.985107421875}, {"start": 680.31, "end": 681.03, "word": " طب", "probability": 0.772705078125}, {"start": 681.03, "end": 681.45, "word": " هذا", "probability": 0.77734375}, {"start": 681.45, "end": 681.73, "word": " ال", "probability": 0.394287109375}, {"start": 681.73, "end": 682.09, "word": " log", "probability": 0.767578125}, {"start": 682.09, "end": 682.67, "word": " x", "probability": 0.55615234375}, {"start": 682.67, "end": 683.61, "word": " للأساس", "probability": 0.825927734375}, {"start": 683.61, "end": 684.03, "word": " اتنين", "probability": 0.96533203125}, {"start": 684.03, "end": 684.25, "word": " مش", "probability": 0.775390625}, {"start": 684.25, "end": 684.73, "word": " عبارة", "probability": 0.993896484375}, {"start": 684.73, "end": 684.89, "word": " عن", "probability": 0.84326171875}, {"start": 684.89, "end": 685.17, "word": " لن", "probability": 0.975341796875}, {"start": 685.17, "end": 685.31, "word": " ال", "probability": 0.79345703125}, {"start": 685.31, "end": 685.53, "word": " X", "probability": 0.39013671875}, {"start": 685.53, "end": 685.75, "word": " على", "probability": 0.7578125}, {"start": 685.75, "end": 686.07, "word": " لن", "probability": 0.993896484375}, {"start": 686.07, "end": 686.55, "word": " اتنين", "probability": 0.97216796875}, {"start": 686.55, "end": 687.45, "word": " يعني", "probability": 0.880615234375}, {"start": 687.45, "end": 687.77, "word": " لن", "probability": 0.769287109375}, {"start": 687.77, "end": 688.11, "word": " اتنين", "probability": 0.9813232421875}, {"start": 688.11, "end": 688.71, "word": " بتطلع", "probability": 0.83349609375}, {"start": 688.71, "end": 689.17, "word": " فوق", "probability": 0.9697265625}, {"start": 689.17, "end": 689.93, "word": " يبقى", "probability": 0.9095458984375}, {"start": 689.93, "end": 690.31, "word": " بده", "probability": 0.4884033203125}, {"start": 690.31, "end": 690.91, "word": " يصير", "probability": 0.9840494791666666}, {"start": 690.91, "end": 691.69, "word": " لن", "probability": 0.988525390625}, {"start": 691.69, "end": 692.73, "word": " اتنين", "probability": 0.9913330078125}, {"start": 692.73, "end": 693.73, "word": " على", "probability": 0.86279296875}, {"start": 693.73, "end": 694.31, "word": " لن", "probability": 0.99462890625}, {"start": 694.31, "end": 694.53, "word": " ال", "probability": 0.9091796875}, {"start": 694.53, "end": 694.83, "word": " X", "probability": 0.9609375}, {"start": 694.83, "end": 695.35, "word": " هذه", "probability": 0.27294921875}, {"start": 695.35, "end": 696.17, "word": " الأولانية", "probability": 0.8939208984375}, {"start": 696.17, "end": 697.49, "word": " بلانمين", "probability": 0.5046630859375}], "temperature": 1.0}, {"id": 34, "seek": 70422, "start": 697.86, "end": 704.22, "text": "في لن اتنين في من في اكس في لن اتنين", "tokens": [41185, 5296, 1863, 1975, 2655, 1863, 9957, 8978, 9154, 8978, 1975, 4117, 3794, 8978, 5296, 1863, 1975, 2655, 1863, 9957], "avg_logprob": -0.19754463718051002, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 697.86, "end": 698.46, "word": "في", "probability": 0.76123046875}, {"start": 698.46, "end": 699.56, "word": " لن", "probability": 0.59100341796875}, {"start": 699.56, "end": 700.5, "word": " اتنين", "probability": 0.914306640625}, {"start": 700.5, "end": 701.02, "word": " في", "probability": 0.796875}, {"start": 701.02, "end": 701.58, "word": " من", "probability": 0.56640625}, {"start": 701.58, "end": 702.14, "word": " في", "probability": 0.95654296875}, {"start": 702.14, "end": 702.74, "word": " اكس", "probability": 0.8186848958333334}, {"start": 702.74, "end": 703.18, "word": " في", "probability": 0.87744140625}, {"start": 703.18, "end": 703.64, "word": " لن", "probability": 0.9794921875}, {"start": 703.64, "end": 704.22, "word": " اتنين", "probability": 0.9801025390625}], "temperature": 1.0}, {"id": 35, "seek": 73475, "start": 706.49, "end": 734.75, "text": "لن اتنين مع لن اتنين الله يسهل عليها يبقى ضلة المسألة يساوي لن اتنين مضروبة في مين؟ في X في لن ال X بس هذا المقارنة كله موجود وين؟ في المقام يعني واحد على لن اتنين في X لن ال X يبقى المشتقة هذه قابلة", "tokens": [1211, 1863, 1975, 2655, 1863, 9957, 20449, 5296, 1863, 1975, 2655, 1863, 9957, 21984, 7251, 3794, 3224, 1211, 25894, 11296, 7251, 3555, 4587, 7578, 48812, 37977, 9673, 3794, 10721, 37977, 7251, 3794, 995, 45865, 5296, 1863, 1975, 2655, 1863, 9957, 3714, 11242, 32887, 49401, 8978, 3714, 9957, 22807, 8978, 1783, 8978, 5296, 1863, 2423, 1783, 4724, 3794, 23758, 9673, 4587, 9640, 1863, 3660, 28242, 3224, 3714, 29245, 23328, 4032, 9957, 22807, 8978, 9673, 4587, 10943, 37495, 22653, 36764, 24401, 15844, 5296, 1863, 1975, 2655, 1863, 9957, 8978, 1783, 5296, 1863, 2423, 1783, 7251, 3555, 4587, 7578, 9673, 8592, 2655, 28671, 29538, 12174, 16758, 37977], "avg_logprob": -0.17410714285714285, "compression_ratio": 2.0114942528735633, "no_speech_prob": 0.0, "words": [{"start": 706.49, "end": 707.11, "word": "لن", "probability": 0.6507568359375}, {"start": 707.11, "end": 707.93, "word": " اتنين", "probability": 0.8759765625}, {"start": 707.93, "end": 708.87, "word": " مع", "probability": 0.80029296875}, {"start": 708.87, "end": 709.33, "word": " لن", "probability": 0.975830078125}, {"start": 709.33, "end": 709.81, "word": " اتنين", "probability": 0.985107421875}, {"start": 709.81, "end": 710.05, "word": " الله", "probability": 0.64111328125}, {"start": 710.05, "end": 710.57, "word": " يسهل", "probability": 0.9808349609375}, {"start": 710.57, "end": 711.05, "word": " عليها", "probability": 0.9609375}, {"start": 711.05, "end": 711.77, "word": " يبقى", "probability": 0.948486328125}, {"start": 711.77, "end": 712.25, "word": " ضلة", "probability": 0.894775390625}, {"start": 712.25, "end": 713.21, "word": " المسألة", "probability": 0.981689453125}, {"start": 713.21, "end": 714.47, "word": " يساوي", "probability": 0.948974609375}, {"start": 714.47, "end": 715.69, "word": " لن", "probability": 0.94677734375}, {"start": 715.69, "end": 716.57, "word": " اتنين", "probability": 0.9879150390625}, {"start": 716.57, "end": 717.39, "word": " مضروبة", "probability": 0.9534912109375}, {"start": 717.39, "end": 717.65, "word": " في", "probability": 0.9326171875}, {"start": 717.65, "end": 718.17, "word": " مين؟", "probability": 0.5950520833333334}, {"start": 718.17, "end": 718.37, "word": " في", "probability": 0.865234375}, {"start": 718.37, "end": 719.01, "word": " X", "probability": 0.4091796875}, {"start": 719.01, "end": 719.61, "word": " في", "probability": 0.53662109375}, {"start": 719.61, "end": 720.59, "word": " لن", "probability": 0.986328125}, {"start": 720.59, "end": 721.29, "word": " ال", "probability": 0.6279296875}, {"start": 721.29, "end": 721.61, "word": " X", "probability": 0.8291015625}, {"start": 721.61, "end": 722.19, "word": " بس", "probability": 0.84423828125}, {"start": 722.19, "end": 722.47, "word": " هذا", "probability": 0.771484375}, {"start": 722.47, "end": 724.07, "word": " المقارنة", "probability": 0.5639892578125}, {"start": 724.07, "end": 724.31, "word": " كله", "probability": 0.5889892578125}, {"start": 724.31, "end": 724.71, "word": " موجود", "probability": 0.9900716145833334}, {"start": 724.71, "end": 725.53, "word": " وين؟", "probability": 0.7720540364583334}, {"start": 725.53, "end": 725.69, "word": " في", "probability": 0.86328125}, {"start": 725.69, "end": 726.49, "word": " المقام", "probability": 0.9736328125}, {"start": 726.49, "end": 726.81, "word": " يعني", "probability": 0.8828125}, {"start": 726.81, "end": 727.55, "word": " واحد", "probability": 0.926025390625}, {"start": 727.55, "end": 727.81, "word": " على", "probability": 0.63818359375}, {"start": 727.81, "end": 728.15, "word": " لن", "probability": 0.991943359375}, {"start": 728.15, "end": 728.81, "word": " اتنين", "probability": 0.9886474609375}, {"start": 728.81, "end": 729.37, "word": " في", "probability": 0.9453125}, {"start": 729.37, "end": 729.85, "word": " X", "probability": 0.98681640625}, {"start": 729.85, "end": 730.67, "word": " لن", "probability": 0.966552734375}, {"start": 730.67, "end": 730.91, "word": " ال", "probability": 0.80224609375}, {"start": 730.91, "end": 731.31, "word": " X", "probability": 0.9833984375}, {"start": 731.31, "end": 732.13, "word": " يبقى", "probability": 0.9808349609375}, {"start": 732.13, "end": 732.85, "word": " المشتقة", "probability": 0.89306640625}, {"start": 732.85, "end": 733.65, "word": " هذه", "probability": 0.93798828125}, {"start": 733.65, "end": 734.75, "word": " قابلة", "probability": 0.69140625}], "temperature": 1.0}, {"id": 36, "seek": 75184, "start": 735.12, "end": 751.84, "text": "سؤال الرابع بيقول لي Y to say X في خمسة أس X كله على اتنين ناقص لج ال X للأساس خمسة", "tokens": [3794, 33604, 6027, 34892, 16758, 3615, 4724, 1829, 39648, 32239, 398, 281, 584, 1783, 8978, 16490, 2304, 3794, 3660, 5551, 3794, 1783, 28242, 3224, 15844, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 5296, 7435, 2423, 1783, 24976, 10721, 3794, 32277, 16490, 2304, 3794, 3660], "avg_logprob": -0.16261889234833096, "compression_ratio": 1.2017543859649122, "no_speech_prob": 0.0, "words": [{"start": 735.12, "end": 735.72, "word": "سؤال", "probability": 0.9658203125}, {"start": 735.72, "end": 736.44, "word": " الرابع", "probability": 0.9560546875}, {"start": 736.44, "end": 738.72, "word": " بيقول", "probability": 0.8302408854166666}, {"start": 738.72, "end": 738.98, "word": " لي", "probability": 0.83544921875}, {"start": 738.98, "end": 739.4, "word": " Y", "probability": 0.1956787109375}, {"start": 739.4, "end": 740.02, "word": " to", "probability": 0.61376953125}, {"start": 740.02, "end": 740.58, "word": " say", "probability": 0.97021484375}, {"start": 740.58, "end": 741.26, "word": " X", "probability": 0.84375}, {"start": 741.26, "end": 741.92, "word": " في", "probability": 0.87109375}, {"start": 741.92, "end": 743.04, "word": " خمسة", "probability": 0.9228515625}, {"start": 743.04, "end": 743.4, "word": " أس", "probability": 0.7900390625}, {"start": 743.4, "end": 743.96, "word": " X", "probability": 0.95947265625}, {"start": 743.96, "end": 744.96, "word": " كله", "probability": 0.958251953125}, {"start": 744.96, "end": 745.32, "word": " على", "probability": 0.81689453125}, {"start": 745.32, "end": 746.28, "word": " اتنين", "probability": 0.9417724609375}, {"start": 746.28, "end": 747.76, "word": " ناقص", "probability": 0.82574462890625}, {"start": 747.76, "end": 748.68, "word": " لج", "probability": 0.815185546875}, {"start": 748.68, "end": 749.0, "word": " ال", "probability": 0.47900390625}, {"start": 749.0, "end": 749.58, "word": " X", "probability": 0.94873046875}, {"start": 749.58, "end": 751.2, "word": " للأساس", "probability": 0.9700927734375}, {"start": 751.2, "end": 751.84, "word": " خمسة", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 37, "seek": 79256, "start": 765.48, "end": 792.56, "text": "فكر طبعا هذه الدالة هي مشتقة خارج قسم الدالتين يبقى هذا في calculus ايه فجينا نقول مشتقة خارج قسم الدالتين والمقام في مشتقة البص ناقص البص في مشتقة المقام على مربع المقام الأصلي يبقى هنا solution", "tokens": [5172, 37983, 23032, 3555, 3615, 995, 29538, 32748, 6027, 3660, 39896, 37893, 2655, 28671, 16490, 9640, 7435, 12174, 38251, 32748, 6027, 2655, 9957, 7251, 3555, 4587, 7578, 23758, 8978, 33400, 1975, 1829, 3224, 6156, 7435, 1829, 8315, 8717, 39648, 37893, 2655, 28671, 16490, 9640, 7435, 12174, 38251, 32748, 6027, 2655, 9957, 16070, 2304, 4587, 10943, 8978, 37893, 2655, 28671, 29739, 9381, 8717, 995, 4587, 9381, 29739, 9381, 8978, 37893, 2655, 28671, 9673, 4587, 10943, 15844, 3714, 25513, 3615, 9673, 4587, 10943, 16247, 9381, 20292, 7251, 3555, 4587, 7578, 34105, 3827], "avg_logprob": -0.17342033130781992, "compression_ratio": 2.0059171597633134, "no_speech_prob": 0.0, "words": [{"start": 765.48, "end": 766.14, "word": "فكر", "probability": 0.6651611328125}, {"start": 766.14, "end": 767.14, "word": " طبعا", "probability": 0.8819580078125}, {"start": 767.14, "end": 767.54, "word": " هذه", "probability": 0.8701171875}, {"start": 767.54, "end": 768.34, "word": " الدالة", "probability": 0.8370768229166666}, {"start": 768.34, "end": 768.64, "word": " هي", "probability": 0.87060546875}, {"start": 768.64, "end": 769.52, "word": " مشتقة", "probability": 0.8610026041666666}, {"start": 769.52, "end": 773.68, "word": " خارج", "probability": 0.8505859375}, {"start": 773.68, "end": 774.2, "word": " قسم", "probability": 0.991943359375}, {"start": 774.2, "end": 775.38, "word": " الدالتين", "probability": 0.965087890625}, {"start": 775.38, "end": 776.66, "word": " يبقى", "probability": 0.9454345703125}, {"start": 776.66, "end": 776.98, "word": " هذا", "probability": 0.50830078125}, {"start": 776.98, "end": 777.24, "word": " في", "probability": 0.833984375}, {"start": 777.24, "end": 777.82, "word": " calculus", "probability": 0.57177734375}, {"start": 777.82, "end": 778.84, "word": " ايه", "probability": 0.6166585286458334}, {"start": 778.84, "end": 779.52, "word": " فجينا", "probability": 0.6363525390625}, {"start": 779.52, "end": 779.86, "word": " نقول", "probability": 0.980224609375}, {"start": 779.86, "end": 780.64, "word": " مشتقة", "probability": 0.9523111979166666}, {"start": 780.64, "end": 781.06, "word": " خارج", "probability": 0.98486328125}, {"start": 781.06, "end": 781.48, "word": " قسم", "probability": 0.994873046875}, {"start": 781.48, "end": 782.48, "word": " الدالتين", "probability": 0.9923095703125}, {"start": 782.48, "end": 783.76, "word": " والمقام", "probability": 0.7987060546875}, {"start": 783.76, "end": 783.94, "word": " في", "probability": 0.94140625}, {"start": 783.94, "end": 784.6, "word": " مشتقة", "probability": 0.9404296875}, {"start": 784.6, "end": 785.02, "word": " البص", "probability": 0.562744140625}, {"start": 785.02, "end": 785.5, "word": " ناقص", "probability": 0.837158203125}, {"start": 785.5, "end": 785.84, "word": " البص", "probability": 0.967529296875}, {"start": 785.84, "end": 786.0, "word": " في", "probability": 0.464111328125}, {"start": 786.0, "end": 786.42, "word": " مشتقة", "probability": 0.96044921875}, {"start": 786.42, "end": 787.1, "word": " المقام", "probability": 0.9947916666666666}, {"start": 787.1, "end": 787.84, "word": " على", "probability": 0.86474609375}, {"start": 787.84, "end": 788.44, "word": " مربع", "probability": 0.9807942708333334}, {"start": 788.44, "end": 789.1, "word": " المقام", "probability": 0.9959309895833334}, {"start": 789.1, "end": 789.86, "word": " الأصلي", "probability": 0.8907877604166666}, {"start": 789.86, "end": 790.96, "word": " يبقى", "probability": 0.982421875}, {"start": 790.96, "end": 791.4, "word": " هنا", "probability": 0.990234375}, {"start": 791.4, "end": 792.56, "word": " solution", "probability": 0.9580078125}], "temperature": 1.0}, {"id": 38, "seek": 82078, "start": 794.74, "end": 820.78, "text": "Y' تساوي المقام اتنين ناقص لج ال X للأساس خمسة في مشتقة ال bus الباص خارج قص حاصل ضرب باليتين يبقى الدالة الأولى مشتقة الدالة التانية خمسة كما X أس X زي ما هي في لن الخمسة", "tokens": [56, 6, 6055, 3794, 995, 45865, 9673, 4587, 10943, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 5296, 7435, 2423, 1783, 24976, 10721, 3794, 32277, 16490, 2304, 3794, 3660, 8978, 37893, 2655, 28671, 2423, 1255, 29739, 33546, 16490, 9640, 7435, 12174, 9381, 11331, 33546, 1211, 48812, 25513, 20666, 36081, 9957, 7251, 3555, 4587, 7578, 32748, 6027, 3660, 16247, 12610, 7578, 37893, 2655, 28671, 32748, 6027, 3660, 16712, 7649, 10632, 16490, 2304, 3794, 3660, 9122, 15042, 1783, 5551, 3794, 1783, 30767, 1829, 19446, 39896, 8978, 5296, 1863, 33962, 2304, 3794, 3660], "avg_logprob": -0.23385988814490183, "compression_ratio": 1.7633136094674555, "no_speech_prob": 0.0, "words": [{"start": 794.74, "end": 795.32, "word": "Y'", "probability": 0.2115478515625}, {"start": 796.06, "end": 796.9, "word": " تساوي", "probability": 0.575164794921875}, {"start": 796.9, "end": 798.36, "word": " المقام", "probability": 0.9537760416666666}, {"start": 798.36, "end": 799.44, "word": " اتنين", "probability": 0.8525390625}, {"start": 799.44, "end": 800.68, "word": " ناقص", "probability": 0.93310546875}, {"start": 800.68, "end": 801.18, "word": " لج", "probability": 0.7080078125}, {"start": 801.18, "end": 801.46, "word": " ال", "probability": 0.280029296875}, {"start": 801.46, "end": 801.94, "word": " X", "probability": 0.75244140625}, {"start": 801.94, "end": 803.46, "word": " للأساس", "probability": 0.8675537109375}, {"start": 803.46, "end": 804.06, "word": " خمسة", "probability": 0.9779052734375}, {"start": 804.06, "end": 804.84, "word": " في", "probability": 0.7470703125}, {"start": 804.84, "end": 805.54, "word": " مشتقة", "probability": 0.8932291666666666}, {"start": 805.54, "end": 805.76, "word": " ال", "probability": 0.7255859375}, {"start": 805.76, "end": 805.92, "word": " bus", "probability": 0.595703125}, {"start": 805.92, "end": 806.68, "word": " الباص", "probability": 0.56439208984375}, {"start": 806.68, "end": 807.94, "word": " خارج", "probability": 0.9794921875}, {"start": 807.94, "end": 808.28, "word": " قص", "probability": 0.909912109375}, {"start": 808.28, "end": 808.82, "word": " حاصل", "probability": 0.6460774739583334}, {"start": 808.82, "end": 809.28, "word": " ضرب", "probability": 0.974365234375}, {"start": 809.28, "end": 810.48, "word": " باليتين", "probability": 0.5669759114583334}, {"start": 810.48, "end": 811.34, "word": " يبقى", "probability": 0.9010009765625}, {"start": 811.34, "end": 812.0, "word": " الدالة", "probability": 0.9602864583333334}, {"start": 812.0, "end": 813.02, "word": " الأولى", "probability": 0.95654296875}, {"start": 813.02, "end": 813.9, "word": " مشتقة", "probability": 0.96435546875}, {"start": 813.9, "end": 814.74, "word": " الدالة", "probability": 0.98876953125}, {"start": 814.74, "end": 815.34, "word": " التانية", "probability": 0.9599609375}, {"start": 815.34, "end": 816.18, "word": " خمسة", "probability": 0.969482421875}, {"start": 816.18, "end": 816.66, "word": " كما", "probability": 0.904052734375}, {"start": 816.66, "end": 817.1, "word": " X", "probability": 0.87060546875}, {"start": 817.1, "end": 817.9, "word": " أس", "probability": 0.3736572265625}, {"start": 817.9, "end": 818.12, "word": " X", "probability": 0.56396484375}, {"start": 818.12, "end": 818.52, "word": " زي", "probability": 0.968017578125}, {"start": 818.52, "end": 818.7, "word": " ما", "probability": 0.873046875}, {"start": 818.7, "end": 819.06, "word": " هي", "probability": 0.4755859375}, {"start": 819.06, "end": 819.32, "word": " في", "probability": 0.8564453125}, {"start": 819.32, "end": 819.88, "word": " لن", "probability": 0.801025390625}, {"start": 819.88, "end": 820.78, "word": " الخمسة", "probability": 0.972900390625}], "temperature": 1.0}, {"id": 39, "seek": 84536, "start": 821.12, "end": 845.36, "text": "هي الأولى في مشتقة الدالة الثانية زائد الدالة التانية في مشتقة الأولى اللي هو جداش واحد صحيح لسه هذا المقام في مشتقة البصد ناقص البصد اللي هو X في خمسة أس X في مشتقة المقام", "tokens": [3224, 1829, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 6024, 104, 7649, 10632, 30767, 16373, 3215, 32748, 6027, 3660, 16712, 7649, 10632, 8978, 37893, 2655, 28671, 16247, 12610, 7578, 13672, 1829, 31439, 10874, 3215, 33599, 36764, 24401, 20328, 5016, 1829, 5016, 5296, 3794, 3224, 23758, 9673, 4587, 10943, 8978, 37893, 2655, 28671, 29739, 9381, 3215, 8717, 995, 4587, 9381, 29739, 9381, 3215, 13672, 1829, 31439, 1783, 8978, 16490, 2304, 3794, 3660, 5551, 3794, 1783, 8978, 37893, 2655, 28671, 9673, 4587, 10943], "avg_logprob": -0.17647059244268082, "compression_ratio": 2.1843971631205674, "no_speech_prob": 0.0, "words": [{"start": 821.12, "end": 821.6, "word": "هي", "probability": 0.386474609375}, {"start": 821.6, "end": 822.26, "word": " الأولى", "probability": 0.9114583333333334}, {"start": 822.26, "end": 822.4, "word": " في", "probability": 0.77734375}, {"start": 822.4, "end": 823.02, "word": " مشتقة", "probability": 0.8894856770833334}, {"start": 823.02, "end": 823.6, "word": " الدالة", "probability": 0.9287109375}, {"start": 823.6, "end": 824.08, "word": " الثانية", "probability": 0.882080078125}, {"start": 824.08, "end": 825.54, "word": " زائد", "probability": 0.5909830729166666}, {"start": 825.54, "end": 826.56, "word": " الدالة", "probability": 0.9817708333333334}, {"start": 826.56, "end": 827.26, "word": " التانية", "probability": 0.9210611979166666}, {"start": 827.26, "end": 827.76, "word": " في", "probability": 0.94873046875}, {"start": 827.76, "end": 828.5, "word": " مشتقة", "probability": 0.97265625}, {"start": 828.5, "end": 829.02, "word": " الأولى", "probability": 0.9479166666666666}, {"start": 829.02, "end": 829.12, "word": " اللي", "probability": 0.68310546875}, {"start": 829.12, "end": 829.22, "word": " هو", "probability": 0.95068359375}, {"start": 829.22, "end": 829.96, "word": " جداش", "probability": 0.5292154947916666}, {"start": 829.96, "end": 830.78, "word": " واحد", "probability": 0.748779296875}, {"start": 830.78, "end": 831.52, "word": " صحيح", "probability": 0.9210205078125}, {"start": 831.52, "end": 832.6, "word": " لسه", "probability": 0.90576171875}, {"start": 832.6, "end": 832.94, "word": " هذا", "probability": 0.89306640625}, {"start": 832.94, "end": 833.62, "word": " المقام", "probability": 0.9871419270833334}, {"start": 833.62, "end": 833.8, "word": " في", "probability": 0.955078125}, {"start": 833.8, "end": 834.58, "word": " مشتقة", "probability": 0.97412109375}, {"start": 834.58, "end": 835.44, "word": " البصد", "probability": 0.7305501302083334}, {"start": 835.44, "end": 837.5, "word": " ناقص", "probability": 0.9259033203125}, {"start": 837.5, "end": 839.08, "word": " البصد", "probability": 0.9664713541666666}, {"start": 839.08, "end": 839.3, "word": " اللي", "probability": 0.810791015625}, {"start": 839.3, "end": 839.5, "word": " هو", "probability": 0.966796875}, {"start": 839.5, "end": 839.94, "word": " X", "probability": 0.44970703125}, {"start": 839.94, "end": 840.64, "word": " في", "probability": 0.86767578125}, {"start": 840.64, "end": 841.62, "word": " خمسة", "probability": 0.942138671875}, {"start": 841.62, "end": 841.98, "word": " أس", "probability": 0.774169921875}, {"start": 841.98, "end": 842.44, "word": " X", "probability": 0.97412109375}, {"start": 842.44, "end": 843.08, "word": " في", "probability": 0.9677734375}, {"start": 843.08, "end": 844.14, "word": " مشتقة", "probability": 0.9752604166666666}, {"start": 844.14, "end": 845.36, "word": " المقام", "probability": 0.9934895833333334}], "temperature": 1.0}, {"id": 40, "seek": 86902, "start": 845.82, "end": 869.02, "text": "مشتقة الاتنين بزيرو ومشتقة ال log ال X الأساس خمسة بواحد على X في لن الخمسة بس بيشارات سالب السالب هذا بيصير عندك ناقص واحد على X في لن الخمسة بالشكل هذا كله", "tokens": [2304, 8592, 2655, 28671, 2423, 9307, 1863, 9957, 4724, 11622, 13546, 2407, 4032, 2304, 8592, 2655, 28671, 2423, 3565, 2423, 1783, 16247, 3794, 32277, 16490, 2304, 3794, 3660, 4724, 14407, 24401, 15844, 1783, 8978, 5296, 1863, 33962, 2304, 3794, 3660, 4724, 3794, 4724, 1829, 8592, 9640, 9307, 8608, 6027, 3555, 21136, 6027, 3555, 23758, 4724, 1829, 9381, 13546, 43242, 4117, 8717, 995, 4587, 9381, 36764, 24401, 15844, 1783, 8978, 5296, 1863, 33962, 2304, 3794, 3660, 20666, 8592, 28820, 23758, 28242, 3224], "avg_logprob": -0.17749618902439024, "compression_ratio": 1.864864864864865, "no_speech_prob": 0.0, "words": [{"start": 845.82, "end": 846.76, "word": "مشتقة", "probability": 0.8035888671875}, {"start": 846.76, "end": 847.68, "word": " الاتنين", "probability": 0.72491455078125}, {"start": 847.68, "end": 848.9, "word": " بزيرو", "probability": 0.66168212890625}, {"start": 848.9, "end": 850.3, "word": " ومشتقة", "probability": 0.91533203125}, {"start": 850.3, "end": 850.54, "word": " ال", "probability": 0.5400390625}, {"start": 850.54, "end": 850.76, "word": " log", "probability": 0.68017578125}, {"start": 850.76, "end": 850.96, "word": " ال", "probability": 0.5029296875}, {"start": 850.96, "end": 851.16, "word": " X", "probability": 0.60791015625}, {"start": 851.16, "end": 851.68, "word": " الأساس", "probability": 0.8611653645833334}, {"start": 851.68, "end": 852.34, "word": " خمسة", "probability": 0.934814453125}, {"start": 852.34, "end": 853.66, "word": " بواحد", "probability": 0.94189453125}, {"start": 853.66, "end": 854.34, "word": " على", "probability": 0.64794921875}, {"start": 854.34, "end": 854.8, "word": " X", "probability": 0.85546875}, {"start": 854.8, "end": 855.04, "word": " في", "probability": 0.64599609375}, {"start": 855.04, "end": 855.3, "word": " لن", "probability": 0.745849609375}, {"start": 855.3, "end": 856.0, "word": " الخمسة", "probability": 0.967529296875}, {"start": 856.0, "end": 856.26, "word": " بس", "probability": 0.803466796875}, {"start": 856.26, "end": 857.12, "word": " بيشارات", "probability": 0.80830078125}, {"start": 857.12, "end": 858.2, "word": " سالب", "probability": 0.7957356770833334}, {"start": 858.2, "end": 859.48, "word": " السالب", "probability": 0.9466145833333334}, {"start": 859.48, "end": 860.16, "word": " هذا", "probability": 0.669921875}, {"start": 860.16, "end": 860.8, "word": " بيصير", "probability": 0.8927001953125}, {"start": 860.8, "end": 861.42, "word": " عندك", "probability": 0.971923828125}, {"start": 861.42, "end": 862.6, "word": " ناقص", "probability": 0.98876953125}, {"start": 862.6, "end": 863.94, "word": " واحد", "probability": 0.943359375}, {"start": 863.94, "end": 864.72, "word": " على", "probability": 0.8564453125}, {"start": 864.72, "end": 865.3, "word": " X", "probability": 0.98388671875}, {"start": 865.3, "end": 865.8, "word": " في", "probability": 0.9296875}, {"start": 865.8, "end": 866.18, "word": " لن", "probability": 0.991943359375}, {"start": 866.18, "end": 867.22, "word": " الخمسة", "probability": 0.99560546875}, {"start": 867.22, "end": 867.96, "word": " بالشكل", "probability": 0.8995768229166666}, {"start": 867.96, "end": 868.32, "word": " هذا", "probability": 0.9677734375}, {"start": 868.32, "end": 869.02, "word": " كله", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 41, "seek": 89343, "start": 869.25, "end": 893.43, "text": "على مربع المقام الأصلي اتنين ماقص لق ال X للأساس خمسة لكل كربيع لو طلعت الإشارة هادي مع هادي وصارت بالموجب مافي مشكلة اختصارات مافي شيء بقى بنخلي كل شيء زي ما هو بنمشي نوة ونضيع الوقت واحنا بنجمع في المقدار تجميع", "tokens": [3615, 23942, 3714, 25513, 3615, 9673, 4587, 10943, 16247, 9381, 20292, 1975, 2655, 1863, 9957, 3714, 995, 4587, 9381, 5296, 4587, 2423, 1783, 24976, 10721, 3794, 32277, 16490, 2304, 3794, 3660, 5296, 28820, 9122, 2288, 21292, 3615, 45164, 23032, 1211, 34268, 33688, 8592, 9640, 3660, 8032, 995, 16254, 20449, 8032, 995, 16254, 4032, 9381, 9640, 2655, 20666, 2304, 29245, 3555, 19446, 41185, 37893, 28820, 3660, 1975, 46456, 9381, 9640, 9307, 19446, 41185, 44049, 38207, 4724, 4587, 7578, 44945, 9778, 20292, 28242, 44049, 38207, 30767, 1829, 19446, 31439, 44945, 2304, 8592, 1829, 8717, 2407, 3660, 4032, 1863, 11242, 40228, 2423, 30543, 2655, 4032, 39319, 8315, 44945, 7435, 2304, 3615, 8978, 9673, 28543, 9640, 6055, 7435, 2304, 40228], "avg_logprob": -0.2313034126901219, "compression_ratio": 1.854368932038835, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 869.25, "end": 869.77, "word": "على", "probability": 0.76513671875}, {"start": 869.77, "end": 870.39, "word": " مربع", "probability": 0.8876953125}, {"start": 870.39, "end": 871.03, "word": " المقام", "probability": 0.97900390625}, {"start": 871.03, "end": 871.87, "word": " الأصلي", "probability": 0.8795572916666666}, {"start": 871.87, "end": 873.17, "word": " اتنين", "probability": 0.802001953125}, {"start": 873.17, "end": 874.21, "word": " ماقص", "probability": 0.658935546875}, {"start": 874.21, "end": 874.59, "word": " لق", "probability": 0.662841796875}, {"start": 874.59, "end": 874.79, "word": " ال", "probability": 0.333984375}, {"start": 874.79, "end": 875.21, "word": " X", "probability": 0.52294921875}, {"start": 875.21, "end": 876.27, "word": " للأساس", "probability": 0.921142578125}, {"start": 876.27, "end": 876.97, "word": " خمسة", "probability": 0.9556884765625}, {"start": 876.97, "end": 877.47, "word": " لكل", "probability": 0.97265625}, {"start": 877.47, "end": 878.13, "word": " كربيع", "probability": 0.76361083984375}, {"start": 878.13, "end": 878.89, "word": " لو", "probability": 0.474365234375}, {"start": 878.89, "end": 879.45, "word": " طلعت", "probability": 0.96875}, {"start": 879.45, "end": 880.09, "word": " الإشارة", "probability": 0.925537109375}, {"start": 880.09, "end": 880.39, "word": " هادي", "probability": 0.77978515625}, {"start": 880.39, "end": 880.61, "word": " مع", "probability": 0.94970703125}, {"start": 880.61, "end": 881.01, "word": " هادي", "probability": 0.9275716145833334}, {"start": 881.01, "end": 881.63, "word": " وصارت", "probability": 0.72540283203125}, {"start": 881.63, "end": 882.39, "word": " بالموجب", "probability": 0.9366455078125}, {"start": 882.39, "end": 883.17, "word": " مافي", "probability": 0.865234375}, {"start": 883.17, "end": 884.09, "word": " مشكلة", "probability": 0.9796549479166666}, {"start": 884.09, "end": 885.25, "word": " اختصارات", "probability": 0.94560546875}, {"start": 885.25, "end": 886.01, "word": " مافي", "probability": 0.8359375}, {"start": 886.01, "end": 886.39, "word": " شيء", "probability": 0.587158203125}, {"start": 886.39, "end": 886.57, "word": " بقى", "probability": 0.626953125}, {"start": 886.57, "end": 887.13, "word": " بنخلي", "probability": 0.80126953125}, {"start": 887.13, "end": 887.51, "word": " كل", "probability": 0.9658203125}, {"start": 887.51, "end": 888.07, "word": " شيء", "probability": 0.837646484375}, {"start": 888.07, "end": 888.33, "word": " زي", "probability": 0.97900390625}, {"start": 888.33, "end": 888.45, "word": " ما", "probability": 0.9814453125}, {"start": 888.45, "end": 888.77, "word": " هو", "probability": 0.99169921875}, {"start": 888.77, "end": 889.61, "word": " بنمشي", "probability": 0.645751953125}, {"start": 889.61, "end": 889.83, "word": " نوة", "probability": 0.4964192708333333}, {"start": 889.83, "end": 890.27, "word": " ونضيع", "probability": 0.7408447265625}, {"start": 890.27, "end": 890.67, "word": " الوقت", "probability": 0.9619140625}, {"start": 890.67, "end": 891.03, "word": " واحنا", "probability": 0.7059733072916666}, {"start": 891.03, "end": 891.93, "word": " بنجمع", "probability": 0.9620361328125}, {"start": 891.93, "end": 892.15, "word": " في", "probability": 0.9111328125}, {"start": 892.15, "end": 892.89, "word": " المقدار", "probability": 0.96044921875}, {"start": 892.89, "end": 893.43, "word": " تجميع", "probability": 0.9041748046875}], "temperature": 1.0}, {"id": 42, "seek": 91826, "start": 894.2, "end": 918.26, "text": "طيب السؤال الرابع عادة هنا السؤال الخامس Y تساوي تلت أس واحد أو تلتة أس واحد على X تلتة أس واحد على X زائد تلتة أس تلتة X زائد واحد", "tokens": [9566, 1829, 3555, 21136, 33604, 6027, 34892, 16758, 3615, 6225, 18513, 3660, 34105, 21136, 33604, 6027, 33962, 10943, 3794, 398, 6055, 3794, 995, 45865, 6055, 1211, 2655, 5551, 3794, 36764, 24401, 34051, 6055, 1211, 2655, 3660, 5551, 3794, 36764, 24401, 15844, 1783, 6055, 1211, 2655, 3660, 5551, 3794, 36764, 24401, 15844, 1783, 30767, 16373, 3215, 6055, 1211, 2655, 3660, 5551, 3794, 6055, 1211, 2655, 3660, 1783, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.1726345515085591, "compression_ratio": 2.008771929824561, "no_speech_prob": 0.0, "words": [{"start": 894.2, "end": 894.62, "word": "طيب", "probability": 0.7676595052083334}, {"start": 894.62, "end": 895.16, "word": " السؤال", "probability": 0.9820963541666666}, {"start": 895.16, "end": 895.76, "word": " الرابع", "probability": 0.9612630208333334}, {"start": 895.76, "end": 896.34, "word": " عادة", "probability": 0.4209391276041667}, {"start": 896.34, "end": 896.6, "word": " هنا", "probability": 0.3125}, {"start": 896.6, "end": 897.46, "word": " السؤال", "probability": 0.96630859375}, {"start": 897.46, "end": 898.54, "word": " الخامس", "probability": 0.94873046875}, {"start": 898.54, "end": 899.54, "word": " Y", "probability": 0.203369140625}, {"start": 899.54, "end": 900.6, "word": " تساوي", "probability": 0.85595703125}, {"start": 900.6, "end": 901.94, "word": " تلت", "probability": 0.9654947916666666}, {"start": 901.94, "end": 902.72, "word": " أس", "probability": 0.7802734375}, {"start": 902.72, "end": 904.32, "word": " واحد", "probability": 0.93017578125}, {"start": 904.32, "end": 904.62, "word": " أو", "probability": 0.626953125}, {"start": 904.62, "end": 905.38, "word": " تلتة", "probability": 0.7874755859375}, {"start": 905.38, "end": 905.64, "word": " أس", "probability": 0.95458984375}, {"start": 905.64, "end": 906.1, "word": " واحد", "probability": 0.969482421875}, {"start": 906.1, "end": 906.38, "word": " على", "probability": 0.662109375}, {"start": 906.38, "end": 906.82, "word": " X", "probability": 0.76513671875}, {"start": 906.82, "end": 908.52, "word": " تلتة", "probability": 0.891845703125}, {"start": 908.52, "end": 909.04, "word": " أس", "probability": 0.983154296875}, {"start": 909.04, "end": 910.16, "word": " واحد", "probability": 0.97705078125}, {"start": 910.16, "end": 910.58, "word": " على", "probability": 0.8466796875}, {"start": 910.58, "end": 911.14, "word": " X", "probability": 0.9921875}, {"start": 911.14, "end": 913.04, "word": " زائد", "probability": 0.9119466145833334}, {"start": 913.04, "end": 914.32, "word": " تلتة", "probability": 0.98681640625}, {"start": 914.32, "end": 914.94, "word": " أس", "probability": 0.974365234375}, {"start": 914.94, "end": 915.84, "word": " تلتة", "probability": 0.989990234375}, {"start": 915.84, "end": 916.34, "word": " X", "probability": 0.955078125}, {"start": 916.34, "end": 917.74, "word": " زائد", "probability": 0.9767252604166666}, {"start": 917.74, "end": 918.26, "word": " واحد", "probability": 0.94921875}], "temperature": 1.0}, {"id": 43, "seek": 94904, "start": 926.52, "end": 949.04, "text": "هذا مشتقت المجموعة الجابري لدالتين يبقى بيقول مشتقت الدالة الأولى زائد مشتقت الدالة الثانية مشتقت الدالة الأولى هي نفسها زي ما هي فاهمين؟ فلن التلاتة في مشتقت الأس كدهش مشتقت واحد على اكس؟", "tokens": [3224, 15730, 37893, 2655, 38149, 9673, 7435, 2304, 2407, 27884, 25724, 16758, 16572, 5296, 3215, 6027, 2655, 9957, 7251, 3555, 4587, 7578, 4724, 1829, 39648, 37893, 2655, 38149, 32748, 6027, 3660, 16247, 12610, 7578, 30767, 16373, 3215, 37893, 2655, 38149, 32748, 6027, 3660, 6024, 104, 7649, 10632, 37893, 2655, 38149, 32748, 6027, 3660, 16247, 12610, 7578, 39896, 8717, 36178, 11296, 30767, 1829, 19446, 39896, 6156, 995, 16095, 9957, 22807, 6156, 1211, 1863, 16712, 1211, 9307, 3660, 8978, 37893, 2655, 38149, 16247, 3794, 9122, 3215, 3224, 8592, 37893, 2655, 38149, 36764, 24401, 15844, 1975, 4117, 3794, 22807], "avg_logprob": -0.17413015955502226, "compression_ratio": 2.072289156626506, "no_speech_prob": 0.0, "words": [{"start": 926.52, "end": 926.92, "word": "هذا", "probability": 0.712890625}, {"start": 926.92, "end": 927.72, "word": " مشتقت", "probability": 0.71142578125}, {"start": 927.72, "end": 928.72, "word": " المجموعة", "probability": 0.8326171875}, {"start": 928.72, "end": 929.22, "word": " الجابري", "probability": 0.8212890625}, {"start": 929.22, "end": 930.16, "word": " لدالتين", "probability": 0.9544921875}, {"start": 930.16, "end": 930.98, "word": " يبقى", "probability": 0.902587890625}, {"start": 930.98, "end": 931.28, "word": " بيقول", "probability": 0.9031575520833334}, {"start": 931.28, "end": 932.0, "word": " مشتقت", "probability": 0.9034830729166666}, {"start": 932.0, "end": 932.5, "word": " الدالة", "probability": 0.9654947916666666}, {"start": 932.5, "end": 932.92, "word": " الأولى", "probability": 0.9619140625}, {"start": 932.92, "end": 933.5, "word": " زائد", "probability": 0.8958333333333334}, {"start": 933.5, "end": 934.54, "word": " مشتقت", "probability": 0.9607747395833334}, {"start": 934.54, "end": 935.12, "word": " الدالة", "probability": 0.9912109375}, {"start": 935.12, "end": 935.62, "word": " الثانية", "probability": 0.95947265625}, {"start": 935.62, "end": 936.82, "word": " مشتقت", "probability": 0.9371744791666666}, {"start": 936.82, "end": 937.52, "word": " الدالة", "probability": 0.9850260416666666}, {"start": 937.52, "end": 938.06, "word": " الأولى", "probability": 0.9847005208333334}, {"start": 938.06, "end": 938.34, "word": " هي", "probability": 0.88623046875}, {"start": 938.34, "end": 939.46, "word": " نفسها", "probability": 0.9952799479166666}, {"start": 939.46, "end": 940.3, "word": " زي", "probability": 0.990478515625}, {"start": 940.3, "end": 940.5, "word": " ما", "probability": 0.96044921875}, {"start": 940.5, "end": 940.88, "word": " هي", "probability": 0.85693359375}, {"start": 940.88, "end": 942.28, "word": " فاهمين؟", "probability": 0.7100830078125}, {"start": 942.28, "end": 943.52, "word": " فلن", "probability": 0.7664388020833334}, {"start": 943.52, "end": 944.78, "word": " التلاتة", "probability": 0.8916015625}, {"start": 944.78, "end": 944.98, "word": " في", "probability": 0.83203125}, {"start": 944.98, "end": 945.88, "word": " مشتقت", "probability": 0.9723307291666666}, {"start": 945.88, "end": 947.0, "word": " الأس", "probability": 0.694580078125}, {"start": 947.0, "end": 947.78, "word": " كدهش", "probability": 0.52899169921875}, {"start": 947.78, "end": 948.26, "word": " مشتقت", "probability": 0.9466145833333334}, {"start": 948.26, "end": 948.54, "word": " واحد", "probability": 0.97216796875}, {"start": 948.54, "end": 948.64, "word": " على", "probability": 0.791015625}, {"start": 948.64, "end": 949.04, "word": " اكس؟", "probability": 0.78021240234375}], "temperature": 1.0}, {"id": 44, "seek": 97792, "start": 956.04, "end": 977.92, "text": "بنفس التكتيك اللي اتبع مع الدالة الاتانية زائد تلاتة اص تلاتة اكس زائد واحد في لن التلاتة بمشتقة الاص اللي هو قداش تلاتة يبجي اختصارات مافيهاش بنخليها كذلك زي ما هي", "tokens": [3555, 1863, 36178, 16712, 4117, 31371, 4117, 13672, 1829, 1975, 2655, 3555, 3615, 20449, 32748, 6027, 3660, 2423, 9307, 7649, 10632, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 1975, 9381, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 30767, 16373, 3215, 36764, 24401, 8978, 5296, 1863, 16712, 1211, 9307, 3660, 4724, 2304, 8592, 2655, 28671, 2423, 33546, 13672, 1829, 31439, 12174, 3215, 33599, 6055, 1211, 9307, 3660, 7251, 3555, 7435, 1829, 1975, 46456, 9381, 9640, 9307, 19446, 41185, 3224, 33599, 44945, 9778, 20292, 11296, 9122, 8848, 23275, 30767, 1829, 19446, 39896], "avg_logprob": -0.3288118262867351, "compression_ratio": 1.9102564102564104, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 956.0400000000001, "end": 957.2, "word": "بنفس", "probability": 0.4572347005208333}, {"start": 957.2, "end": 957.92, "word": " التكتيك", "probability": 0.814208984375}, {"start": 957.92, "end": 958.06, "word": " اللي", "probability": 0.459716796875}, {"start": 958.06, "end": 958.52, "word": " اتبع", "probability": 0.8013916015625}, {"start": 958.52, "end": 958.9, "word": " مع", "probability": 0.91943359375}, {"start": 958.9, "end": 962.48, "word": " الدالة", "probability": 0.7600911458333334}, {"start": 962.48, "end": 963.02, "word": " الاتانية", "probability": 0.5830078125}, {"start": 963.02, "end": 964.02, "word": " زائد", "probability": 0.6291097005208334}, {"start": 964.02, "end": 964.74, "word": " تلاتة", "probability": 0.8165283203125}, {"start": 964.74, "end": 965.14, "word": " اص", "probability": 0.435302734375}, {"start": 965.14, "end": 965.9, "word": " تلاتة", "probability": 0.9581298828125}, {"start": 965.9, "end": 966.26, "word": " اكس", "probability": 0.7332356770833334}, {"start": 966.26, "end": 966.84, "word": " زائد", "probability": 0.94384765625}, {"start": 966.84, "end": 967.44, "word": " واحد", "probability": 0.974609375}, {"start": 967.44, "end": 967.7, "word": " في", "probability": 0.81494140625}, {"start": 967.7, "end": 968.2, "word": " لن", "probability": 0.766845703125}, {"start": 968.2, "end": 969.42, "word": " التلاتة", "probability": 0.9022216796875}, {"start": 969.42, "end": 970.66, "word": " بمشتقة", "probability": 0.749609375}, {"start": 970.66, "end": 971.14, "word": " الاص", "probability": 0.673095703125}, {"start": 971.14, "end": 971.3, "word": " اللي", "probability": 0.81005859375}, {"start": 971.3, "end": 971.42, "word": " هو", "probability": 0.91552734375}, {"start": 971.42, "end": 972.08, "word": " قداش", "probability": 0.6688639322916666}, {"start": 972.08, "end": 973.38, "word": " تلاتة", "probability": 0.8885498046875}, {"start": 973.38, "end": 973.76, "word": " يبجي", "probability": 0.58349609375}, {"start": 973.76, "end": 974.42, "word": " اختصارات", "probability": 0.98447265625}, {"start": 974.42, "end": 975.0, "word": " مافيهاش", "probability": 0.8092041015625}, {"start": 975.0, "end": 976.06, "word": " بنخليها", "probability": 0.86865234375}, {"start": 976.06, "end": 976.74, "word": " كذلك", "probability": 0.9796549479166666}, {"start": 976.74, "end": 977.38, "word": " زي", "probability": 0.976318359375}, {"start": 977.38, "end": 977.74, "word": " ما", "probability": 0.814453125}, {"start": 977.74, "end": 977.92, "word": " هي", "probability": 0.6708984375}], "temperature": 1.0}, {"id": 45, "seek": 100058, "start": 978.68, "end": 1000.58, "text": "سؤال السادس Y تساوي تلاتة أستان ال X زائد log للأساس تلاتة للجذر التالت لمين؟ لل X تكيّب زائد واحد", "tokens": [3794, 33604, 6027, 21136, 18513, 3794, 398, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 5551, 14851, 7649, 2423, 1783, 30767, 16373, 3215, 3565, 24976, 10721, 3794, 32277, 6055, 1211, 9307, 3660, 24976, 7435, 8848, 2288, 16712, 6027, 2655, 32767, 9957, 22807, 24976, 1783, 6055, 4117, 1829, 11703, 3555, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.2335227288983085, "compression_ratio": 1.4615384615384615, "no_speech_prob": 0.0, "words": [{"start": 978.68, "end": 979.4, "word": "سؤال", "probability": 0.7989095052083334}, {"start": 979.4, "end": 980.24, "word": " السادس", "probability": 0.94091796875}, {"start": 980.24, "end": 982.22, "word": " Y", "probability": 0.302490234375}, {"start": 982.22, "end": 983.02, "word": " تساوي", "probability": 0.7003173828125}, {"start": 983.02, "end": 985.6, "word": " تلاتة", "probability": 0.8765869140625}, {"start": 985.6, "end": 987.1, "word": " أستان", "probability": 0.5218912760416666}, {"start": 987.1, "end": 987.46, "word": " ال", "probability": 0.62646484375}, {"start": 987.46, "end": 988.02, "word": " X", "probability": 0.87744140625}, {"start": 988.02, "end": 989.7, "word": " زائد", "probability": 0.9025065104166666}, {"start": 989.7, "end": 990.88, "word": " log", "probability": 0.6142578125}, {"start": 990.88, "end": 992.24, "word": " للأساس", "probability": 0.9659423828125}, {"start": 992.24, "end": 993.26, "word": " تلاتة", "probability": 0.9722900390625}, {"start": 993.26, "end": 994.64, "word": " للجذر", "probability": 0.81201171875}, {"start": 994.64, "end": 996.06, "word": " التالت", "probability": 0.9366861979166666}, {"start": 996.06, "end": 997.54, "word": " لمين؟", "probability": 0.6294759114583334}, {"start": 997.54, "end": 997.78, "word": " لل", "probability": 0.85107421875}, {"start": 997.78, "end": 998.26, "word": " X", "probability": 0.73486328125}, {"start": 998.26, "end": 999.28, "word": " تكيّب", "probability": 0.76494140625}, {"start": 999.28, "end": 1000.18, "word": " زائد", "probability": 0.95703125}, {"start": 1000.18, "end": 1000.58, "word": " واحد", "probability": 0.934814453125}], "temperature": 1.0}, {"id": 46, "seek": 103308, "start": 1005.33, "end": 1033.09, "text": "أظن يمكن تبسيط المسألة قبل إجراء عملية التفاضل فبقدر أقول هذه تلاتة أستان ال X زي ما هي هذا باعتبار جوز أس قداش التلف بيبقى زائد تلت logarithm للأساس تلاتة لل X تكييب زائد واحد", "tokens": [10721, 19913, 1863, 7251, 43020, 6055, 3555, 3794, 1829, 9566, 9673, 3794, 10721, 37977, 12174, 36150, 11933, 7435, 2288, 16606, 6225, 42213, 10632, 16712, 5172, 46958, 1211, 6156, 3555, 28543, 2288, 5551, 39648, 29538, 6055, 1211, 9307, 3660, 5551, 14851, 7649, 2423, 1783, 30767, 1829, 19446, 39896, 23758, 4724, 995, 34268, 3555, 9640, 10874, 2407, 11622, 5551, 3794, 12174, 3215, 33599, 16712, 1211, 5172, 4724, 1829, 3555, 4587, 7578, 30767, 16373, 3215, 6055, 1211, 2655, 41473, 32674, 24976, 10721, 3794, 32277, 6055, 1211, 9307, 3660, 24976, 1783, 6055, 4117, 1829, 1829, 3555, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.20790816828304406, "compression_ratio": 1.5824742268041236, "no_speech_prob": 0.0, "words": [{"start": 1005.33, "end": 1005.75, "word": "أظن", "probability": 0.7637532552083334}, {"start": 1005.75, "end": 1006.17, "word": " يمكن", "probability": 0.893310546875}, {"start": 1006.17, "end": 1006.81, "word": " تبسيط", "probability": 0.95458984375}, {"start": 1006.81, "end": 1007.53, "word": " المسألة", "probability": 0.969970703125}, {"start": 1007.53, "end": 1007.95, "word": " قبل", "probability": 0.98876953125}, {"start": 1007.95, "end": 1008.49, "word": " إجراء", "probability": 0.936279296875}, {"start": 1008.49, "end": 1009.17, "word": " عملية", "probability": 0.9892578125}, {"start": 1009.17, "end": 1010.47, "word": " التفاضل", "probability": 0.947265625}, {"start": 1010.47, "end": 1011.29, "word": " فبقدر", "probability": 0.8656005859375}, {"start": 1011.29, "end": 1011.63, "word": " أقول", "probability": 0.90673828125}, {"start": 1011.63, "end": 1012.23, "word": " هذه", "probability": 0.79345703125}, {"start": 1012.23, "end": 1013.23, "word": " تلاتة", "probability": 0.8643798828125}, {"start": 1013.23, "end": 1014.01, "word": " أستان", "probability": 0.8121744791666666}, {"start": 1014.01, "end": 1014.29, "word": " ال", "probability": 0.72265625}, {"start": 1014.29, "end": 1014.75, "word": " X", "probability": 0.7431640625}, {"start": 1014.75, "end": 1015.53, "word": " زي", "probability": 0.965087890625}, {"start": 1015.53, "end": 1015.75, "word": " ما", "probability": 0.70556640625}, {"start": 1015.75, "end": 1015.89, "word": " هي", "probability": 0.3720703125}, {"start": 1015.89, "end": 1017.11, "word": " هذا", "probability": 0.6953125}, {"start": 1017.11, "end": 1017.93, "word": " باعتبار", "probability": 0.9625}, {"start": 1017.93, "end": 1018.51, "word": " جوز", "probability": 0.4097086588541667}, {"start": 1018.51, "end": 1018.79, "word": " أس", "probability": 0.728759765625}, {"start": 1018.79, "end": 1019.57, "word": " قداش", "probability": 0.5402018229166666}, {"start": 1019.57, "end": 1020.69, "word": " التلف", "probability": 0.555908203125}, {"start": 1020.69, "end": 1020.97, "word": " بيبقى", "probability": 0.6763671875}, {"start": 1020.97, "end": 1025.59, "word": " زائد", "probability": 0.791015625}, {"start": 1025.59, "end": 1026.43, "word": " تلت", "probability": 0.9656575520833334}, {"start": 1026.43, "end": 1027.91, "word": " logarithm", "probability": 0.824462890625}, {"start": 1027.91, "end": 1028.91, "word": " للأساس", "probability": 0.9083251953125}, {"start": 1028.91, "end": 1029.85, "word": " تلاتة", "probability": 0.92724609375}, {"start": 1029.85, "end": 1030.41, "word": " لل", "probability": 0.806640625}, {"start": 1030.41, "end": 1030.85, "word": " X", "probability": 0.875}, {"start": 1030.85, "end": 1031.83, "word": " تكييب", "probability": 0.9267578125}, {"start": 1031.83, "end": 1032.61, "word": " زائد", "probability": 0.9658203125}, {"start": 1032.61, "end": 1033.09, "word": " واحد", "probability": 0.959716796875}], "temperature": 1.0}, {"id": 47, "seek": 105761, "start": 1035.52, "end": 1057.62, "text": "هذا الحين ما نقدر نشتق بدون مشاكل يبقى هنا ال y prime يساوي تلاتة أستان ال x في لن التلاتة خلصنا لسه بدك تشتق من التان مشتقة التان اللي هي بستة تربيع ال x زات تلت مالكش دعوة", "tokens": [3224, 15730, 21542, 9957, 19446, 8717, 28543, 2288, 8717, 8592, 2655, 4587, 47525, 11536, 37893, 995, 28820, 7251, 3555, 4587, 7578, 34105, 2423, 288, 5835, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 5551, 14851, 7649, 2423, 2031, 8978, 5296, 1863, 16712, 1211, 9307, 3660, 16490, 1211, 9381, 8315, 5296, 3794, 3224, 47525, 4117, 6055, 8592, 2655, 4587, 9154, 16712, 7649, 37893, 2655, 28671, 16712, 7649, 13672, 1829, 39896, 4724, 14851, 3660, 6055, 2288, 21292, 3615, 2423, 2031, 30767, 9307, 6055, 1211, 2655, 3714, 6027, 4117, 8592, 11778, 3615, 2407, 3660], "avg_logprob": -0.27411684069944464, "compression_ratio": 1.7005649717514124, "no_speech_prob": 0.0, "words": [{"start": 1035.52, "end": 1035.8, "word": "هذا", "probability": 0.32440185546875}, {"start": 1035.8, "end": 1036.02, "word": " الحين", "probability": 0.7410888671875}, {"start": 1036.02, "end": 1036.16, "word": " ما", "probability": 0.40869140625}, {"start": 1036.16, "end": 1036.42, "word": " نقدر", "probability": 0.8318684895833334}, {"start": 1036.42, "end": 1036.92, "word": " نشتق", "probability": 0.9278564453125}, {"start": 1036.92, "end": 1037.32, "word": " بدون", "probability": 0.975341796875}, {"start": 1037.32, "end": 1038.0, "word": " مشاكل", "probability": 0.98876953125}, {"start": 1038.0, "end": 1038.76, "word": " يبقى", "probability": 0.95263671875}, {"start": 1038.76, "end": 1038.96, "word": " هنا", "probability": 0.93115234375}, {"start": 1038.96, "end": 1039.2, "word": " ال", "probability": 0.83984375}, {"start": 1039.2, "end": 1039.48, "word": " y", "probability": 0.253173828125}, {"start": 1039.48, "end": 1040.08, "word": " prime", "probability": 0.326904296875}, {"start": 1040.08, "end": 1040.62, "word": " يساوي", "probability": 0.7059326171875}, {"start": 1040.62, "end": 1042.26, "word": " تلاتة", "probability": 0.8724365234375}, {"start": 1042.26, "end": 1043.22, "word": " أستان", "probability": 0.8167317708333334}, {"start": 1043.22, "end": 1043.48, "word": " ال", "probability": 0.8828125}, {"start": 1043.48, "end": 1043.98, "word": " x", "probability": 0.64794921875}, {"start": 1043.98, "end": 1044.3, "word": " في", "probability": 0.8212890625}, {"start": 1044.3, "end": 1044.82, "word": " لن", "probability": 0.785400390625}, {"start": 1044.82, "end": 1045.88, "word": " التلاتة", "probability": 0.86328125}, {"start": 1045.88, "end": 1046.58, "word": " خلصنا", "probability": 0.8291015625}, {"start": 1046.58, "end": 1049.18, "word": " لسه", "probability": 0.724609375}, {"start": 1049.18, "end": 1049.56, "word": " بدك", "probability": 0.564697265625}, {"start": 1049.56, "end": 1050.0, "word": " تشتق", "probability": 0.9185791015625}, {"start": 1050.0, "end": 1050.24, "word": " من", "probability": 0.84228515625}, {"start": 1050.24, "end": 1051.02, "word": " التان", "probability": 0.844482421875}, {"start": 1051.02, "end": 1052.22, "word": " مشتقة", "probability": 0.7887369791666666}, {"start": 1052.22, "end": 1053.0, "word": " التان", "probability": 0.9794921875}, {"start": 1053.0, "end": 1053.22, "word": " اللي", "probability": 0.856201171875}, {"start": 1053.22, "end": 1053.5, "word": " هي", "probability": 0.77734375}, {"start": 1053.5, "end": 1054.26, "word": " بستة", "probability": 0.5029296875}, {"start": 1054.26, "end": 1054.94, "word": " تربيع", "probability": 0.7841796875}, {"start": 1054.94, "end": 1055.14, "word": " ال", "probability": 0.94580078125}, {"start": 1055.14, "end": 1055.58, "word": " x", "probability": 0.8291015625}, {"start": 1055.58, "end": 1056.24, "word": " زات", "probability": 0.45074462890625}, {"start": 1056.24, "end": 1056.7, "word": " تلت", "probability": 0.888671875}, {"start": 1056.7, "end": 1057.16, "word": " مالكش", "probability": 0.8681640625}, {"start": 1057.16, "end": 1057.62, "word": " دعوة", "probability": 0.9788818359375}], "temperature": 1.0}, {"id": 48, "seek": 107411, "start": 1058.4, "end": 1074.12, "text": "وهذه 1 على x تكيب زائد 1 في لن التلاتة في مشتقة ال x تكيب ليه بالتلاتة x تربيه ومشتقة الواحد بمين بزره", "tokens": [2407, 3224, 24192, 502, 15844, 2031, 6055, 4117, 1829, 3555, 30767, 16373, 3215, 502, 8978, 5296, 1863, 16712, 1211, 9307, 3660, 8978, 37893, 2655, 28671, 2423, 2031, 6055, 4117, 1829, 3555, 32239, 3224, 20666, 2655, 1211, 9307, 3660, 2031, 6055, 2288, 21292, 3224, 4032, 2304, 8592, 2655, 28671, 2423, 14407, 24401, 4724, 2304, 9957, 4724, 11622, 2288, 3224], "avg_logprob": -0.28363347154552654, "compression_ratio": 1.6090909090909091, "no_speech_prob": 0.0, "words": [{"start": 1058.4, "end": 1059.16, "word": "وهذه", "probability": 0.4896647135416667}, {"start": 1059.16, "end": 1059.94, "word": " 1", "probability": 0.59521484375}, {"start": 1059.94, "end": 1061.22, "word": " على", "probability": 0.52880859375}, {"start": 1061.22, "end": 1061.8, "word": " x", "probability": 0.59423828125}, {"start": 1061.8, "end": 1062.58, "word": " تكيب", "probability": 0.7374267578125}, {"start": 1062.58, "end": 1063.48, "word": " زائد", "probability": 0.72314453125}, {"start": 1063.48, "end": 1064.2, "word": " 1", "probability": 0.8857421875}, {"start": 1064.2, "end": 1064.92, "word": " في", "probability": 0.6279296875}, {"start": 1064.92, "end": 1065.54, "word": " لن", "probability": 0.62841796875}, {"start": 1065.54, "end": 1066.66, "word": " التلاتة", "probability": 0.8778076171875}, {"start": 1066.66, "end": 1067.12, "word": " في", "probability": 0.80517578125}, {"start": 1067.12, "end": 1067.9, "word": " مشتقة", "probability": 0.9375}, {"start": 1067.9, "end": 1068.14, "word": " ال", "probability": 0.81201171875}, {"start": 1068.14, "end": 1068.46, "word": " x", "probability": 0.666015625}, {"start": 1068.46, "end": 1069.08, "word": " تكيب", "probability": 0.984130859375}, {"start": 1069.08, "end": 1069.36, "word": " ليه", "probability": 0.76416015625}, {"start": 1069.36, "end": 1070.22, "word": " بالتلاتة", "probability": 0.801611328125}, {"start": 1070.22, "end": 1070.58, "word": " x", "probability": 0.84228515625}, {"start": 1070.58, "end": 1071.1, "word": " تربيه", "probability": 0.8115234375}, {"start": 1071.1, "end": 1071.74, "word": " ومشتقة", "probability": 0.940234375}, {"start": 1071.74, "end": 1072.1, "word": " الواحد", "probability": 0.8035481770833334}, {"start": 1072.1, "end": 1072.72, "word": " بمين", "probability": 0.5524088541666666}, {"start": 1072.72, "end": 1074.12, "word": " بزره", "probability": 0.697509765625}], "temperature": 1.0}, {"id": 49, "seek": 110333, "start": 1074.58, "end": 1103.34, "text": "أذا في اختصار بنختصره تلاتة أس تان ال X في لن التلاتة في سيك تربية ال X تلاتة مع تلاتة الله يسهل عليها بضل عندي X تربية على X تكييب زائد واحد في لن التلاتة السؤال السابع بدنا Y تساوي X أس X", "tokens": [10721, 15730, 8978, 1975, 46456, 9381, 9640, 44945, 46456, 9381, 2288, 3224, 6055, 1211, 9307, 3660, 5551, 3794, 6055, 7649, 2423, 1783, 8978, 5296, 1863, 16712, 1211, 9307, 3660, 8978, 8608, 1829, 4117, 6055, 25513, 10632, 2423, 1783, 6055, 1211, 9307, 3660, 20449, 6055, 1211, 9307, 3660, 21984, 7251, 3794, 3224, 1211, 25894, 11296, 4724, 11242, 1211, 18871, 16254, 1783, 6055, 25513, 10632, 15844, 1783, 6055, 4117, 1829, 1829, 3555, 30767, 16373, 3215, 36764, 24401, 8978, 5296, 1863, 16712, 1211, 9307, 3660, 21136, 33604, 6027, 21136, 16758, 3615, 47525, 8315, 398, 6055, 3794, 995, 45865, 1783, 5551, 3794, 1783], "avg_logprob": -0.18218749836087228, "compression_ratio": 1.9467455621301775, "no_speech_prob": 0.0, "words": [{"start": 1074.58, "end": 1074.94, "word": "أذا", "probability": 0.4376220703125}, {"start": 1074.94, "end": 1075.14, "word": " في", "probability": 0.89892578125}, {"start": 1075.14, "end": 1075.82, "word": " اختصار", "probability": 0.94287109375}, {"start": 1075.82, "end": 1077.02, "word": " بنختصره", "probability": 0.90771484375}, {"start": 1077.02, "end": 1077.84, "word": " تلاتة", "probability": 0.8017578125}, {"start": 1077.84, "end": 1078.22, "word": " أس", "probability": 0.3848876953125}, {"start": 1078.22, "end": 1078.58, "word": " تان", "probability": 0.858642578125}, {"start": 1078.58, "end": 1078.86, "word": " ال", "probability": 0.83154296875}, {"start": 1078.86, "end": 1079.22, "word": " X", "probability": 0.689453125}, {"start": 1079.22, "end": 1079.54, "word": " في", "probability": 0.681640625}, {"start": 1079.54, "end": 1079.92, "word": " لن", "probability": 0.850341796875}, {"start": 1079.92, "end": 1081.0, "word": " التلاتة", "probability": 0.9146728515625}, {"start": 1081.0, "end": 1081.46, "word": " في", "probability": 0.78271484375}, {"start": 1081.46, "end": 1081.82, "word": " سيك", "probability": 0.5850423177083334}, {"start": 1081.82, "end": 1082.4, "word": " تربية", "probability": 0.8434244791666666}, {"start": 1082.4, "end": 1082.62, "word": " ال", "probability": 0.6669921875}, {"start": 1082.62, "end": 1082.84, "word": " X", "probability": 0.9794921875}, {"start": 1082.84, "end": 1083.8, "word": " تلاتة", "probability": 0.9532470703125}, {"start": 1083.8, "end": 1083.94, "word": " مع", "probability": 0.9892578125}, {"start": 1083.94, "end": 1084.44, "word": " تلاتة", "probability": 0.98193359375}, {"start": 1084.44, "end": 1084.6, "word": " الله", "probability": 0.85693359375}, {"start": 1084.6, "end": 1085.06, "word": " يسهل", "probability": 0.98681640625}, {"start": 1085.06, "end": 1085.62, "word": " عليها", "probability": 0.987060546875}, {"start": 1085.62, "end": 1086.36, "word": " بضل", "probability": 0.4917805989583333}, {"start": 1086.36, "end": 1086.74, "word": " عندي", "probability": 0.831787109375}, {"start": 1086.74, "end": 1087.14, "word": " X", "probability": 0.984375}, {"start": 1087.14, "end": 1087.84, "word": " تربية", "probability": 0.9111328125}, {"start": 1087.84, "end": 1088.54, "word": " على", "probability": 0.76025390625}, {"start": 1088.54, "end": 1088.9, "word": " X", "probability": 0.98291015625}, {"start": 1088.9, "end": 1089.54, "word": " تكييب", "probability": 0.93271484375}, {"start": 1089.54, "end": 1090.16, "word": " زائد", "probability": 0.9573567708333334}, {"start": 1090.16, "end": 1090.84, "word": " واحد", "probability": 0.949951171875}, {"start": 1090.84, "end": 1091.46, "word": " في", "probability": 0.94580078125}, {"start": 1091.46, "end": 1092.02, "word": " لن", "probability": 0.993408203125}, {"start": 1092.02, "end": 1094.02, "word": " التلاتة", "probability": 0.984130859375}, {"start": 1094.02, "end": 1097.06, "word": " السؤال", "probability": 0.8460286458333334}, {"start": 1097.06, "end": 1098.0, "word": " السابع", "probability": 0.9773763020833334}, {"start": 1098.0, "end": 1100.5, "word": " بدنا", "probability": 0.626708984375}, {"start": 1100.5, "end": 1100.82, "word": " Y", "probability": 0.95263671875}, {"start": 1100.82, "end": 1101.72, "word": " تساوي", "probability": 0.940673828125}, {"start": 1101.72, "end": 1102.3, "word": " X", "probability": 0.9853515625}, {"start": 1102.3, "end": 1102.84, "word": " أس", "probability": 0.831298828125}, {"start": 1102.84, "end": 1103.34, "word": " X", "probability": 0.9921875}], "temperature": 1.0}, {"id": 50, "seek": 113454, "start": 1114.78, "end": 1134.54, "text": "طبعا لو نظرنا لهذه الدالة بلاحظ أن الأساس متغير والأس كذلك متغير تمام؟ أخدنا أمثلة قبل ذلك الأساس متغير والأس متغير ال section الماضي أخدناه المرة", "tokens": [9566, 3555, 3615, 995, 45164, 8717, 19913, 2288, 8315, 46740, 24192, 32748, 6027, 3660, 4724, 15040, 5016, 19913, 14739, 16247, 3794, 32277, 44650, 17082, 13546, 16070, 10721, 3794, 9122, 8848, 23275, 44650, 17082, 13546, 46811, 10943, 22807, 5551, 9778, 3215, 8315, 5551, 2304, 12984, 37977, 12174, 36150, 29910, 23275, 16247, 3794, 32277, 44650, 17082, 13546, 16070, 10721, 3794, 44650, 17082, 13546, 2423, 3541, 9673, 46958, 1829, 5551, 9778, 3215, 8315, 3224, 9673, 25720], "avg_logprob": -0.1538217917487428, "compression_ratio": 1.7808219178082192, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1114.78, "end": 1115.22, "word": "طبعا", "probability": 0.880126953125}, {"start": 1115.22, "end": 1115.4, "word": " لو", "probability": 0.89208984375}, {"start": 1115.4, "end": 1115.96, "word": " نظرنا", "probability": 0.9942626953125}, {"start": 1115.96, "end": 1116.52, "word": " لهذه", "probability": 0.950439453125}, {"start": 1116.52, "end": 1117.02, "word": " الدالة", "probability": 0.9596354166666666}, {"start": 1117.02, "end": 1117.54, "word": " بلاحظ", "probability": 0.84039306640625}, {"start": 1117.54, "end": 1117.86, "word": " أن", "probability": 0.40966796875}, {"start": 1117.86, "end": 1118.84, "word": " الأساس", "probability": 0.8357747395833334}, {"start": 1118.84, "end": 1120.1, "word": " متغير", "probability": 0.974609375}, {"start": 1120.1, "end": 1121.32, "word": " والأس", "probability": 0.68017578125}, {"start": 1121.32, "end": 1122.32, "word": " كذلك", "probability": 0.97412109375}, {"start": 1122.32, "end": 1123.82, "word": " متغير", "probability": 0.9715169270833334}, {"start": 1123.82, "end": 1125.76, "word": " تمام؟", "probability": 0.666259765625}, {"start": 1125.76, "end": 1126.32, "word": " أخدنا", "probability": 0.9515380859375}, {"start": 1126.32, "end": 1126.94, "word": " أمثلة", "probability": 0.9693603515625}, {"start": 1126.94, "end": 1127.4, "word": " قبل", "probability": 0.991943359375}, {"start": 1127.4, "end": 1127.98, "word": " ذلك", "probability": 0.9921875}, {"start": 1127.98, "end": 1128.58, "word": " الأساس", "probability": 0.8722330729166666}, {"start": 1128.58, "end": 1129.22, "word": " متغير", "probability": 0.9866536458333334}, {"start": 1129.22, "end": 1129.64, "word": " والأس", "probability": 0.9249674479166666}, {"start": 1129.64, "end": 1130.5, "word": " متغير", "probability": 0.9910481770833334}, {"start": 1130.5, "end": 1131.7, "word": " ال", "probability": 0.462158203125}, {"start": 1131.7, "end": 1131.98, "word": " section", "probability": 0.673828125}, {"start": 1131.98, "end": 1132.54, "word": " الماضي", "probability": 0.9383138020833334}, {"start": 1132.54, "end": 1133.44, "word": " أخدناه", "probability": 0.901953125}, {"start": 1133.44, "end": 1134.54, "word": " المرة", "probability": 0.61346435546875}], "temperature": 1.0}, {"id": 51, "seek": 115404, "start": 1135.74, "end": 1154.04, "text": "يا الله يا تاج الله أخدنا زيها وقلنا بناخد لن لأ الطرفين وبعدين بنشتق، مظبوط؟ يبقى الطريقة الأولى أنك تروح تاخد لن لأ الطرفين وتشتق وانا مادرسنا في section 7-2، الآن 7-3 بدنا نطورك شوية", "tokens": [25528, 21984, 35186, 6055, 26108, 21984, 5551, 9778, 3215, 8315, 30767, 1829, 11296, 4032, 4587, 1211, 8315, 44945, 47283, 3215, 5296, 1863, 5296, 10721, 41950, 28480, 9957, 46599, 22488, 9957, 44945, 8592, 2655, 4587, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 7251, 3555, 4587, 7578, 41950, 16572, 28671, 16247, 12610, 7578, 14739, 4117, 6055, 32887, 5016, 6055, 47283, 3215, 5296, 1863, 5296, 10721, 41950, 28480, 9957, 34683, 8592, 2655, 4587, 4032, 7649, 995, 3714, 18513, 2288, 3794, 8315, 8978, 3541, 1614, 12, 17, 12399, 6024, 48506, 1614, 12, 18, 47525, 8315, 8717, 9566, 13063, 4117, 13412, 2407, 10632], "avg_logprob": -0.22758838594561875, "compression_ratio": 1.6910994764397906, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1135.74, "end": 1136.06, "word": "يا", "probability": 0.390869140625}, {"start": 1136.06, "end": 1136.24, "word": " الله", "probability": 0.93408203125}, {"start": 1136.24, "end": 1136.44, "word": " يا", "probability": 0.2607421875}, {"start": 1136.44, "end": 1136.74, "word": " تاج", "probability": 0.757568359375}, {"start": 1136.74, "end": 1136.98, "word": " الله", "probability": 0.89501953125}, {"start": 1136.98, "end": 1137.56, "word": " أخدنا", "probability": 0.770111083984375}, {"start": 1137.56, "end": 1137.92, "word": " زيها", "probability": 0.7713216145833334}, {"start": 1137.92, "end": 1138.26, "word": " وقلنا", "probability": 0.797607421875}, {"start": 1138.26, "end": 1138.64, "word": " بناخد", "probability": 0.94287109375}, {"start": 1138.64, "end": 1138.9, "word": " لن", "probability": 0.42388916015625}, {"start": 1138.9, "end": 1139.04, "word": " لأ", "probability": 0.6201171875}, {"start": 1139.04, "end": 1139.48, "word": " الطرفين", "probability": 0.9407552083333334}, {"start": 1139.48, "end": 1139.92, "word": " وبعدين", "probability": 0.7783203125}, {"start": 1139.92, "end": 1141.0, "word": " بنشتق،", "probability": 0.840478515625}, {"start": 1141.0, "end": 1142.14, "word": " مظبوط؟", "probability": 0.8433430989583334}, {"start": 1142.14, "end": 1142.5, "word": " يبقى", "probability": 0.9349365234375}, {"start": 1142.5, "end": 1143.04, "word": " الطريقة", "probability": 0.97900390625}, {"start": 1143.04, "end": 1143.72, "word": " الأولى", "probability": 0.9773763020833334}, {"start": 1143.72, "end": 1144.38, "word": " أنك", "probability": 0.686767578125}, {"start": 1144.38, "end": 1144.74, "word": " تروح", "probability": 0.9876302083333334}, {"start": 1144.74, "end": 1145.26, "word": " تاخد", "probability": 0.99072265625}, {"start": 1145.26, "end": 1145.68, "word": " لن", "probability": 0.98779296875}, {"start": 1145.68, "end": 1146.02, "word": " لأ", "probability": 0.994384765625}, {"start": 1146.02, "end": 1146.6, "word": " الطرفين", "probability": 0.9871419270833334}, {"start": 1146.6, "end": 1147.26, "word": " وتشتق", "probability": 0.884521484375}, {"start": 1147.26, "end": 1147.66, "word": " وانا", "probability": 0.8206380208333334}, {"start": 1147.66, "end": 1148.32, "word": " مادرسنا", "probability": 0.83203125}, {"start": 1148.32, "end": 1148.48, "word": " في", "probability": 0.927734375}, {"start": 1148.48, "end": 1148.86, "word": " section", "probability": 0.80712890625}, {"start": 1148.86, "end": 1150.0, "word": " 7", "probability": 0.7568359375}, {"start": 1150.0, "end": 1151.42, "word": "-2،", "probability": 0.6172688802083334}, {"start": 1151.42, "end": 1151.74, "word": " الآن", "probability": 0.68896484375}, {"start": 1151.74, "end": 1152.08, "word": " 7", "probability": 0.45751953125}, {"start": 1152.08, "end": 1152.56, "word": "-3", "probability": 0.8212890625}, {"start": 1152.56, "end": 1152.9, "word": " بدنا", "probability": 0.724365234375}, {"start": 1152.9, "end": 1153.52, "word": " نطورك", "probability": 0.979736328125}, {"start": 1153.52, "end": 1154.04, "word": " شوية", "probability": 0.9124348958333334}], "temperature": 1.0}, {"id": 52, "seek": 117994, "start": 1154.3, "end": 1179.94, "text": "بنضطر نشتغل بطريقة السابعة اتنين نشتغل بطريقة اخرى و كده طريقتين صحيح مافي مشكلة يبقى هذه لو حبيت احطها بصيغة اخرى قلت x أس x هو تساوي e أس x في لن ال x صح ولا غلطك تعالى نشوف", "tokens": [3555, 1863, 11242, 9566, 2288, 8717, 8592, 2655, 17082, 1211, 4724, 9566, 16572, 28671, 21136, 16758, 27884, 1975, 2655, 1863, 9957, 8717, 8592, 2655, 17082, 1211, 4724, 9566, 16572, 28671, 1975, 34740, 7578, 4032, 9122, 3215, 3224, 23032, 16572, 38149, 9957, 20328, 5016, 1829, 5016, 19446, 41185, 37893, 28820, 3660, 7251, 3555, 4587, 7578, 29538, 45164, 11331, 21292, 2655, 1975, 5016, 9566, 11296, 4724, 9381, 1829, 17082, 3660, 1975, 34740, 7578, 12174, 1211, 2655, 2031, 5551, 3794, 2031, 31439, 6055, 3794, 995, 45865, 308, 5551, 3794, 2031, 8978, 5296, 1863, 2423, 2031, 20328, 5016, 49429, 32771, 1211, 9566, 4117, 37279, 6027, 7578, 8717, 8592, 38688], "avg_logprob": -0.20518868177566887, "compression_ratio": 1.764367816091954, "no_speech_prob": 0.0, "words": [{"start": 1154.3, "end": 1155.18, "word": "بنضطر", "probability": 0.6501953125}, {"start": 1155.18, "end": 1155.54, "word": " نشتغل", "probability": 0.846533203125}, {"start": 1155.54, "end": 1155.96, "word": " بطريقة", "probability": 0.957763671875}, {"start": 1155.96, "end": 1156.42, "word": " السابعة", "probability": 0.88232421875}, {"start": 1156.42, "end": 1156.76, "word": " اتنين", "probability": 0.8974609375}, {"start": 1156.76, "end": 1157.7, "word": " نشتغل", "probability": 0.6797119140625}, {"start": 1157.7, "end": 1158.22, "word": " بطريقة", "probability": 0.9649658203125}, {"start": 1158.22, "end": 1158.88, "word": " اخرى", "probability": 0.84326171875}, {"start": 1158.88, "end": 1159.26, "word": " و", "probability": 0.83935546875}, {"start": 1159.26, "end": 1159.7, "word": " كده", "probability": 0.66748046875}, {"start": 1159.7, "end": 1160.7, "word": " طريقتين", "probability": 0.902099609375}, {"start": 1160.7, "end": 1161.94, "word": " صحيح", "probability": 0.9798583984375}, {"start": 1161.94, "end": 1162.78, "word": " مافي", "probability": 0.81494140625}, {"start": 1162.78, "end": 1163.54, "word": " مشكلة", "probability": 0.97998046875}, {"start": 1163.54, "end": 1164.26, "word": " يبقى", "probability": 0.889892578125}, {"start": 1164.26, "end": 1164.56, "word": " هذه", "probability": 0.69921875}, {"start": 1164.56, "end": 1164.78, "word": " لو", "probability": 0.974609375}, {"start": 1164.78, "end": 1165.5, "word": " حبيت", "probability": 0.8816731770833334}, {"start": 1165.5, "end": 1166.4, "word": " احطها", "probability": 0.89453125}, {"start": 1166.4, "end": 1167.4, "word": " بصيغة", "probability": 0.98671875}, {"start": 1167.4, "end": 1168.84, "word": " اخرى", "probability": 0.97705078125}, {"start": 1168.84, "end": 1169.46, "word": " قلت", "probability": 0.719970703125}, {"start": 1169.46, "end": 1169.98, "word": " x", "probability": 0.47265625}, {"start": 1169.98, "end": 1170.66, "word": " أس", "probability": 0.52880859375}, {"start": 1170.66, "end": 1171.24, "word": " x", "probability": 0.95556640625}, {"start": 1171.24, "end": 1171.98, "word": " هو", "probability": 0.38134765625}, {"start": 1171.98, "end": 1172.92, "word": " تساوي", "probability": 0.9300537109375}, {"start": 1172.92, "end": 1173.82, "word": " e", "probability": 0.44091796875}, {"start": 1173.82, "end": 1174.62, "word": " أس", "probability": 0.94384765625}, {"start": 1174.62, "end": 1175.34, "word": " x", "probability": 0.986328125}, {"start": 1175.34, "end": 1175.66, "word": " في", "probability": 0.75927734375}, {"start": 1175.66, "end": 1176.1, "word": " لن", "probability": 0.657958984375}, {"start": 1176.1, "end": 1176.34, "word": " ال", "probability": 0.65185546875}, {"start": 1176.34, "end": 1176.7, "word": " x", "probability": 0.64208984375}, {"start": 1176.7, "end": 1177.46, "word": " صح", "probability": 0.9794921875}, {"start": 1177.46, "end": 1177.68, "word": " ولا", "probability": 0.77099609375}, {"start": 1177.68, "end": 1178.54, "word": " غلطك", "probability": 0.8582763671875}, {"start": 1178.54, "end": 1179.44, "word": " تعالى", "probability": 0.8517252604166666}, {"start": 1179.44, "end": 1179.94, "word": " نشوف", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 53, "seek": 120723, "start": 1180.83, "end": 1207.23, "text": "هذا أُس جاب للن بقدر أخلي أُس لمين للي جوا بيصير ايه أُس لن XO6 ليه ال لن مع السلامة بضلمان XO6 يعني قعت صياغة هذه الدلة بطريقة أخرى كتبتها بدللة ال exponential وماضطرتش أخد ال لن زي ما كنا بنعمل في section", "tokens": [3224, 15730, 5551, 10859, 3794, 10874, 16758, 24976, 1863, 4724, 28543, 2288, 5551, 9778, 20292, 5551, 10859, 3794, 32767, 9957, 5296, 20292, 10874, 14407, 4724, 1829, 9381, 13546, 1975, 1829, 3224, 5551, 10859, 3794, 5296, 1863, 1783, 46, 21, 32239, 3224, 2423, 5296, 1863, 20449, 21136, 37440, 3660, 4724, 11242, 19528, 7649, 1783, 46, 21, 37495, 22653, 12174, 34268, 20328, 1829, 5718, 118, 3660, 29538, 32748, 37977, 4724, 9566, 16572, 28671, 5551, 34740, 7578, 9122, 2655, 3555, 2655, 11296, 47525, 1211, 37977, 2423, 21510, 4032, 15042, 11242, 9566, 43500, 8592, 5551, 9778, 3215, 2423, 5296, 1863, 30767, 1829, 19446, 9122, 8315, 44945, 25957, 1211, 8978, 3541], "avg_logprob": -0.2492698525713983, "compression_ratio": 1.6168224299065421, "no_speech_prob": 0.0, "words": [{"start": 1180.83, "end": 1181.41, "word": "هذا", "probability": 0.72509765625}, {"start": 1181.41, "end": 1181.77, "word": " أُس", "probability": 0.5562337239583334}, {"start": 1181.77, "end": 1182.07, "word": " جاب", "probability": 0.702392578125}, {"start": 1182.07, "end": 1182.69, "word": " للن", "probability": 0.5218505859375}, {"start": 1182.69, "end": 1183.61, "word": " بقدر", "probability": 0.67529296875}, {"start": 1183.61, "end": 1184.01, "word": " أخلي", "probability": 0.7083333333333334}, {"start": 1184.01, "end": 1184.37, "word": " أُس", "probability": 0.8798828125}, {"start": 1184.37, "end": 1184.89, "word": " لمين", "probability": 0.654541015625}, {"start": 1184.89, "end": 1185.49, "word": " للي", "probability": 0.71533203125}, {"start": 1185.49, "end": 1185.87, "word": " جوا", "probability": 0.911865234375}, {"start": 1185.87, "end": 1186.65, "word": " بيصير", "probability": 0.7862548828125}, {"start": 1186.65, "end": 1187.31, "word": " ايه", "probability": 0.7411295572916666}, {"start": 1187.31, "end": 1188.03, "word": " أُس", "probability": 0.7882486979166666}, {"start": 1188.03, "end": 1188.61, "word": " لن", "probability": 0.526611328125}, {"start": 1188.61, "end": 1189.99, "word": " XO6", "probability": 0.5751953125}, {"start": 1189.99, "end": 1190.73, "word": " ليه", "probability": 0.89697265625}, {"start": 1190.73, "end": 1190.89, "word": " ال", "probability": 0.74462890625}, {"start": 1190.89, "end": 1191.07, "word": " لن", "probability": 0.60150146484375}, {"start": 1191.07, "end": 1191.27, "word": " مع", "probability": 0.98876953125}, {"start": 1191.27, "end": 1192.23, "word": " السلامة", "probability": 0.9654947916666666}, {"start": 1192.23, "end": 1193.15, "word": " بضلمان", "probability": 0.6279296875}, {"start": 1193.15, "end": 1194.37, "word": " XO6", "probability": 0.94140625}, {"start": 1194.37, "end": 1194.77, "word": " يعني", "probability": 0.903076171875}, {"start": 1194.77, "end": 1195.45, "word": " قعت", "probability": 0.705810546875}, {"start": 1195.45, "end": 1196.59, "word": " صياغة", "probability": 0.92265625}, {"start": 1196.59, "end": 1196.99, "word": " هذه", "probability": 0.95361328125}, {"start": 1196.99, "end": 1197.67, "word": " الدلة", "probability": 0.76123046875}, {"start": 1197.67, "end": 1198.75, "word": " بطريقة", "probability": 0.980712890625}, {"start": 1198.75, "end": 1199.87, "word": " أخرى", "probability": 0.9466145833333334}, {"start": 1199.87, "end": 1200.89, "word": " كتبتها", "probability": 0.97822265625}, {"start": 1200.89, "end": 1201.47, "word": " بدللة", "probability": 0.8230794270833334}, {"start": 1201.47, "end": 1201.63, "word": " ال", "probability": 0.916015625}, {"start": 1201.63, "end": 1202.33, "word": " exponential", "probability": 0.88525390625}, {"start": 1202.33, "end": 1203.89, "word": " وماضطرتش", "probability": 0.8564453125}, {"start": 1203.89, "end": 1204.51, "word": " أخد", "probability": 0.8118489583333334}, {"start": 1204.51, "end": 1204.77, "word": " ال", "probability": 0.62646484375}, {"start": 1204.77, "end": 1205.19, "word": " لن", "probability": 0.8017578125}, {"start": 1205.19, "end": 1205.69, "word": " زي", "probability": 0.9833984375}, {"start": 1205.69, "end": 1205.81, "word": " ما", "probability": 0.98095703125}, {"start": 1205.81, "end": 1206.11, "word": " كنا", "probability": 0.985107421875}, {"start": 1206.11, "end": 1206.63, "word": " بنعمل", "probability": 0.9762369791666666}, {"start": 1206.63, "end": 1206.77, "word": " في", "probability": 0.9716796875}, {"start": 1206.77, "end": 1207.23, "word": " section", "probability": 0.8466796875}], "temperature": 1.0}, {"id": 54, "seek": 122647, "start": 1208.25, "end": 1226.47, "text": "سبعة اتنين يبقى هاي الطريقة اخرى التنتين الطريقة تين صحيحة طيب بدأجي اشتق يبقى باجي بقوله y prime يساوي مشتقة ال exponential بال exponential itself", "tokens": [3794, 3555, 27884, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 8032, 47302, 41950, 16572, 28671, 1975, 34740, 7578, 16712, 29399, 9957, 41950, 16572, 28671, 6055, 9957, 20328, 5016, 1829, 5016, 3660, 23032, 1829, 3555, 47525, 10721, 7435, 1829, 1975, 8592, 2655, 4587, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 288, 5835, 7251, 3794, 995, 45865, 37893, 2655, 28671, 2423, 21510, 20666, 21510, 2564], "avg_logprob": -0.39889706364449334, "compression_ratio": 1.5629139072847682, "no_speech_prob": 0.0, "words": [{"start": 1208.25, "end": 1209.19, "word": "سبعة", "probability": 0.5977274576822916}, {"start": 1209.19, "end": 1210.09, "word": " اتنين", "probability": 0.7520751953125}, {"start": 1210.09, "end": 1211.41, "word": " يبقى", "probability": 0.71026611328125}, {"start": 1211.41, "end": 1211.73, "word": " هاي", "probability": 0.25726318359375}, {"start": 1211.73, "end": 1212.15, "word": " الطريقة", "probability": 0.8878580729166666}, {"start": 1212.15, "end": 1212.51, "word": " اخرى", "probability": 0.8199869791666666}, {"start": 1212.51, "end": 1213.33, "word": " التنتين", "probability": 0.6409912109375}, {"start": 1213.33, "end": 1214.13, "word": " الطريقة", "probability": 0.794921875}, {"start": 1214.13, "end": 1214.41, "word": " تين", "probability": 0.4510498046875}, {"start": 1214.41, "end": 1215.23, "word": " صحيحة", "probability": 0.96796875}, {"start": 1215.23, "end": 1216.15, "word": " طيب", "probability": 0.8492838541666666}, {"start": 1216.15, "end": 1217.23, "word": " بدأجي", "probability": 0.50872802734375}, {"start": 1217.23, "end": 1218.09, "word": " اشتق", "probability": 0.800537109375}, {"start": 1218.09, "end": 1218.55, "word": " يبقى", "probability": 0.9271240234375}, {"start": 1218.55, "end": 1218.89, "word": " باجي", "probability": 0.6805826822916666}, {"start": 1218.89, "end": 1219.51, "word": " بقوله", "probability": 0.7554524739583334}, {"start": 1219.51, "end": 1219.89, "word": " y", "probability": 0.479248046875}, {"start": 1219.89, "end": 1220.51, "word": " prime", "probability": 0.388916015625}, {"start": 1220.51, "end": 1221.29, "word": " يساوي", "probability": 0.9205322265625}, {"start": 1221.29, "end": 1222.61, "word": " مشتقة", "probability": 0.8624674479166666}, {"start": 1222.61, "end": 1222.93, "word": " ال", "probability": 0.94677734375}, {"start": 1222.93, "end": 1223.37, "word": " exponential", "probability": 0.257568359375}, {"start": 1223.37, "end": 1224.49, "word": " بال", "probability": 0.962890625}, {"start": 1224.49, "end": 1225.21, "word": " exponential", "probability": 0.9150390625}, {"start": 1225.21, "end": 1226.47, "word": " itself", "probability": 0.71142578125}], "temperature": 1.0}, {"id": 55, "seek": 125249, "start": 1227.13, "end": 1252.49, "text": "مضرب في مين؟ في مشتقة الأس الأس حصل ضرب دالتين يبقى الدالة الأولى في مشتقة الدالة الثانية مشتقة لإن ال X بواحد على X زائد الدالة الثانية في مشتقة الأولى لهم قداش واحد صحيح إذن النتيجة تساوي", "tokens": [2304, 11242, 25513, 8978, 3714, 9957, 22807, 8978, 37893, 2655, 28671, 16247, 3794, 16247, 3794, 11331, 36520, 48812, 25513, 11778, 6027, 2655, 9957, 7251, 3555, 4587, 7578, 32748, 6027, 3660, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 6024, 104, 7649, 10632, 37893, 2655, 28671, 5296, 28814, 1863, 2423, 1783, 4724, 14407, 24401, 15844, 1783, 30767, 16373, 3215, 32748, 6027, 3660, 6024, 104, 7649, 10632, 8978, 37893, 2655, 28671, 16247, 12610, 7578, 5296, 16095, 12174, 3215, 33599, 36764, 24401, 20328, 5016, 1829, 5016, 11933, 8848, 1863, 28239, 31371, 7435, 3660, 6055, 3794, 995, 45865], "avg_logprob": -0.1765463966684243, "compression_ratio": 2.111801242236025, "no_speech_prob": 0.0, "words": [{"start": 1227.13, "end": 1227.87, "word": "مضرب", "probability": 0.7423502604166666}, {"start": 1227.87, "end": 1228.17, "word": " في", "probability": 0.8798828125}, {"start": 1228.17, "end": 1229.17, "word": " مين؟", "probability": 0.697509765625}, {"start": 1229.17, "end": 1229.37, "word": " في", "probability": 0.9140625}, {"start": 1229.37, "end": 1230.21, "word": " مشتقة", "probability": 0.8815104166666666}, {"start": 1230.21, "end": 1230.93, "word": " الأس", "probability": 0.783203125}, {"start": 1230.93, "end": 1232.13, "word": " الأس", "probability": 0.6279296875}, {"start": 1232.13, "end": 1233.01, "word": " حصل", "probability": 0.786865234375}, {"start": 1233.01, "end": 1233.45, "word": " ضرب", "probability": 0.900146484375}, {"start": 1233.45, "end": 1234.37, "word": " دالتين", "probability": 0.8724365234375}, {"start": 1234.37, "end": 1235.25, "word": " يبقى", "probability": 0.945556640625}, {"start": 1235.25, "end": 1235.89, "word": " الدالة", "probability": 0.9736328125}, {"start": 1235.89, "end": 1236.63, "word": " الأولى", "probability": 0.9908854166666666}, {"start": 1236.63, "end": 1236.93, "word": " في", "probability": 0.9453125}, {"start": 1236.93, "end": 1237.87, "word": " مشتقة", "probability": 0.9801432291666666}, {"start": 1237.87, "end": 1238.95, "word": " الدالة", "probability": 0.98876953125}, {"start": 1238.95, "end": 1239.47, "word": " الثانية", "probability": 0.9705810546875}, {"start": 1239.47, "end": 1240.49, "word": " مشتقة", "probability": 0.9597981770833334}, {"start": 1240.49, "end": 1240.81, "word": " لإن", "probability": 0.6437174479166666}, {"start": 1240.81, "end": 1240.99, "word": " ال", "probability": 0.83740234375}, {"start": 1240.99, "end": 1241.21, "word": " X", "probability": 0.58154296875}, {"start": 1241.21, "end": 1241.77, "word": " بواحد", "probability": 0.9095052083333334}, {"start": 1241.77, "end": 1241.93, "word": " على", "probability": 0.439208984375}, {"start": 1241.93, "end": 1242.29, "word": " X", "probability": 0.81884765625}, {"start": 1242.29, "end": 1243.77, "word": " زائد", "probability": 0.8610026041666666}, {"start": 1243.77, "end": 1244.99, "word": " الدالة", "probability": 0.9861653645833334}, {"start": 1244.99, "end": 1245.73, "word": " الثانية", "probability": 0.986328125}, {"start": 1245.73, "end": 1246.21, "word": " في", "probability": 0.96728515625}, {"start": 1246.21, "end": 1247.03, "word": " مشتقة", "probability": 0.9700520833333334}, {"start": 1247.03, "end": 1247.61, "word": " الأولى", "probability": 0.9794921875}, {"start": 1247.61, "end": 1247.85, "word": " لهم", "probability": 0.6820068359375}, {"start": 1247.85, "end": 1248.53, "word": " قداش", "probability": 0.7435709635416666}, {"start": 1248.53, "end": 1249.45, "word": " واحد", "probability": 0.707275390625}, {"start": 1249.45, "end": 1250.49, "word": " صحيح", "probability": 0.921630859375}, {"start": 1250.49, "end": 1251.05, "word": " إذن", "probability": 0.6318766276041666}, {"start": 1251.05, "end": 1251.81, "word": " النتيجة", "probability": 0.9405517578125}, {"start": 1251.81, "end": 1252.49, "word": " تساوي", "probability": 0.9578857421875}], "temperature": 1.0}, {"id": 56, "seek": 126803, "start": 1253.39, "end": 1268.03, "text": "بترجع هذه للأصل يتبعها، الأصل يتبعها هو مين؟ XO6 يتجاهز XO6 هذه بتروح معادي بوضع الواحد زائد لل X", "tokens": [3555, 2655, 47341, 3615, 29538, 24976, 10721, 36520, 7251, 2655, 3555, 3615, 11296, 12399, 16247, 36520, 7251, 2655, 3555, 3615, 11296, 31439, 3714, 9957, 22807, 1783, 46, 21, 7251, 2655, 7435, 40294, 11622, 1783, 46, 21, 29538, 39894, 32887, 5016, 20449, 995, 16254, 4724, 2407, 11242, 3615, 2423, 14407, 24401, 30767, 16373, 3215, 24976, 1783], "avg_logprob": -0.4079240986279079, "compression_ratio": 1.4444444444444444, "no_speech_prob": 0.0, "words": [{"start": 1253.39, "end": 1254.27, "word": "بترجع", "probability": 0.682861328125}, {"start": 1254.27, "end": 1254.57, "word": " هذه", "probability": 0.6064453125}, {"start": 1254.57, "end": 1255.25, "word": " للأصل", "probability": 0.74755859375}, {"start": 1255.25, "end": 1256.29, "word": " يتبعها،", "probability": 0.6074625651041666}, {"start": 1256.29, "end": 1256.67, "word": " الأصل", "probability": 0.73583984375}, {"start": 1256.67, "end": 1257.25, "word": " يتبعها", "probability": 0.9634765625}, {"start": 1257.25, "end": 1257.45, "word": " هو", "probability": 0.8251953125}, {"start": 1257.45, "end": 1258.49, "word": " مين؟", "probability": 0.669677734375}, {"start": 1258.49, "end": 1259.77, "word": " XO6", "probability": 0.5072428385416666}, {"start": 1259.77, "end": 1261.15, "word": " يتجاهز", "probability": 0.722998046875}, {"start": 1261.15, "end": 1262.29, "word": " XO6", "probability": 0.953125}, {"start": 1262.29, "end": 1263.03, "word": " هذه", "probability": 0.56640625}, {"start": 1263.03, "end": 1263.43, "word": " بتروح", "probability": 0.64892578125}, {"start": 1263.43, "end": 1263.87, "word": " معادي", "probability": 0.7054850260416666}, {"start": 1263.87, "end": 1264.31, "word": " بوضع", "probability": 0.7062835693359375}, {"start": 1264.31, "end": 1265.39, "word": " الواحد", "probability": 0.8681640625}, {"start": 1265.39, "end": 1266.83, "word": " زائد", "probability": 0.90771484375}, {"start": 1266.83, "end": 1267.33, "word": " لل", "probability": 0.53857421875}, {"start": 1267.33, "end": 1268.03, "word": " X", "probability": 0.495849609375}], "temperature": 1.0}, {"id": 57, "seek": 128647, "start": 1268.69, "end": 1286.47, "text": "إذا صرت مشتقة ال X وال6 هي X وال6 في 1 زائد من X يبقى هذه فريقة أخرى غير تبع ال section 7-2 بناء عليه بدي أروح ل exercises 8", "tokens": [28814, 15730, 20328, 43500, 37893, 2655, 28671, 2423, 1783, 16070, 21, 39896, 1783, 16070, 21, 8978, 502, 30767, 16373, 3215, 9154, 1783, 7251, 3555, 4587, 7578, 29538, 6156, 16572, 28671, 5551, 34740, 7578, 32771, 13546, 6055, 3555, 3615, 2423, 3541, 1614, 12, 17, 44945, 16606, 47356, 4724, 16254, 5551, 32887, 5016, 5296, 11900, 1649], "avg_logprob": -0.3247158993374218, "compression_ratio": 1.261437908496732, "no_speech_prob": 0.0, "words": [{"start": 1268.69, "end": 1269.31, "word": "إذا", "probability": 0.449127197265625}, {"start": 1269.31, "end": 1270.03, "word": " صرت", "probability": 0.704833984375}, {"start": 1270.03, "end": 1270.73, "word": " مشتقة", "probability": 0.9210611979166666}, {"start": 1270.73, "end": 1270.95, "word": " ال", "probability": 0.82470703125}, {"start": 1270.95, "end": 1271.15, "word": " X", "probability": 0.53564453125}, {"start": 1271.15, "end": 1271.71, "word": " وال6", "probability": 0.6083984375}, {"start": 1271.71, "end": 1271.97, "word": " هي", "probability": 0.8896484375}, {"start": 1271.97, "end": 1272.37, "word": " X", "probability": 0.9130859375}, {"start": 1272.37, "end": 1273.01, "word": " وال6", "probability": 0.8623046875}, {"start": 1273.01, "end": 1273.53, "word": " في", "probability": 0.9462890625}, {"start": 1273.53, "end": 1273.97, "word": " 1", "probability": 0.73583984375}, {"start": 1273.97, "end": 1274.99, "word": " زائد", "probability": 0.7722981770833334}, {"start": 1274.99, "end": 1275.55, "word": " من", "probability": 0.341064453125}, {"start": 1275.55, "end": 1276.49, "word": " X", "probability": 0.71484375}, {"start": 1276.49, "end": 1277.39, "word": " يبقى", "probability": 0.910400390625}, {"start": 1277.39, "end": 1277.63, "word": " هذه", "probability": 0.6943359375}, {"start": 1277.63, "end": 1278.09, "word": " فريقة", "probability": 0.6590983072916666}, {"start": 1278.09, "end": 1278.61, "word": " أخرى", "probability": 0.9671223958333334}, {"start": 1278.61, "end": 1278.93, "word": " غير", "probability": 0.97216796875}, {"start": 1278.93, "end": 1279.31, "word": " تبع", "probability": 0.72509765625}, {"start": 1279.31, "end": 1279.47, "word": " ال", "probability": 0.169677734375}, {"start": 1279.47, "end": 1279.81, "word": " section", "probability": 0.6982421875}, {"start": 1279.81, "end": 1280.37, "word": " 7", "probability": 0.681640625}, {"start": 1280.37, "end": 1280.93, "word": "-2", "probability": 0.60992431640625}, {"start": 1280.93, "end": 1281.97, "word": " بناء", "probability": 0.829345703125}, {"start": 1281.97, "end": 1282.75, "word": " عليه", "probability": 0.72607421875}, {"start": 1282.75, "end": 1283.53, "word": " بدي", "probability": 0.48193359375}, {"start": 1283.53, "end": 1284.31, "word": " أروح", "probability": 0.93408203125}, {"start": 1284.31, "end": 1284.77, "word": " ل", "probability": 0.84130859375}, {"start": 1284.77, "end": 1285.73, "word": " exercises", "probability": 0.91845703125}, {"start": 1285.73, "end": 1286.47, "word": " 8", "probability": 0.8232421875}], "temperature": 1.0}, {"id": 58, "seek": 131535, "start": 1288.13, "end": 1315.35, "text": "Y تساوي اتنين أس X زائد واحد مرفوع للأس log X للأساس اتنين يبقى هذا الانجلسين متغير والأس كمانية متغير إذا يابتاخد الليم للطرفين يابتروح تعمل مين الكلام اللي عملناه هنا بالضبط تماما", "tokens": [56, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 5551, 3794, 1783, 30767, 16373, 3215, 36764, 24401, 3714, 28480, 45367, 24976, 10721, 3794, 3565, 1783, 24976, 10721, 3794, 32277, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 23758, 2423, 7649, 7435, 1211, 3794, 9957, 44650, 17082, 13546, 16070, 10721, 3794, 9122, 2304, 7649, 10632, 44650, 17082, 13546, 11933, 15730, 7251, 16758, 2655, 47283, 3215, 13672, 32640, 24976, 9566, 28480, 9957, 7251, 16758, 2655, 32887, 5016, 6055, 25957, 1211, 3714, 9957, 2423, 28820, 10943, 13672, 1829, 6225, 42213, 8315, 3224, 34105, 20666, 11242, 3555, 9566, 46811, 10943, 995], "avg_logprob": -0.24792729318141937, "compression_ratio": 1.7513513513513514, "no_speech_prob": 0.0, "words": [{"start": 1288.1299999999999, "end": 1289.53, "word": "Y", "probability": 0.255126953125}, {"start": 1289.53, "end": 1290.45, "word": " تساوي", "probability": 0.6863784790039062}, {"start": 1290.45, "end": 1291.15, "word": " اتنين", "probability": 0.78448486328125}, {"start": 1291.15, "end": 1291.67, "word": " أس", "probability": 0.6370849609375}, {"start": 1291.67, "end": 1292.15, "word": " X", "probability": 0.8701171875}, {"start": 1292.15, "end": 1293.13, "word": " زائد", "probability": 0.92041015625}, {"start": 1293.13, "end": 1293.79, "word": " واحد", "probability": 0.98486328125}, {"start": 1293.79, "end": 1295.03, "word": " مرفوع", "probability": 0.7081705729166666}, {"start": 1295.03, "end": 1295.91, "word": " للأس", "probability": 0.73828125}, {"start": 1295.91, "end": 1296.49, "word": " log", "probability": 0.5986328125}, {"start": 1296.49, "end": 1297.17, "word": " X", "probability": 0.9755859375}, {"start": 1297.17, "end": 1298.19, "word": " للأساس", "probability": 0.9285888671875}, {"start": 1298.19, "end": 1298.93, "word": " اتنين", "probability": 0.9591064453125}, {"start": 1298.93, "end": 1302.49, "word": " يبقى", "probability": 0.8021240234375}, {"start": 1302.49, "end": 1302.73, "word": " هذا", "probability": 0.90625}, {"start": 1302.73, "end": 1303.55, "word": " الانجلسين", "probability": 0.57220458984375}, {"start": 1303.55, "end": 1304.31, "word": " متغير", "probability": 0.9666341145833334}, {"start": 1304.31, "end": 1304.77, "word": " والأس", "probability": 0.85107421875}, {"start": 1304.77, "end": 1305.51, "word": " كمانية", "probability": 0.6722869873046875}, {"start": 1305.51, "end": 1307.17, "word": " متغير", "probability": 0.9705403645833334}, {"start": 1307.17, "end": 1307.99, "word": " إذا", "probability": 0.5491943359375}, {"start": 1307.99, "end": 1309.09, "word": " يابتاخد", "probability": 0.81416015625}, {"start": 1309.09, "end": 1309.45, "word": " الليم", "probability": 0.4345703125}, {"start": 1309.45, "end": 1310.43, "word": " للطرفين", "probability": 0.959716796875}, {"start": 1310.43, "end": 1311.15, "word": " يابتروح", "probability": 0.95458984375}, {"start": 1311.15, "end": 1311.57, "word": " تعمل", "probability": 0.9822591145833334}, {"start": 1311.57, "end": 1311.99, "word": " مين", "probability": 0.820068359375}, {"start": 1311.99, "end": 1312.93, "word": " الكلام", "probability": 0.821533203125}, {"start": 1312.93, "end": 1313.11, "word": " اللي", "probability": 0.878173828125}, {"start": 1313.11, "end": 1313.65, "word": " عملناه", "probability": 0.983642578125}, {"start": 1313.65, "end": 1313.85, "word": " هنا", "probability": 0.8359375}, {"start": 1313.85, "end": 1314.49, "word": " بالضبط", "probability": 0.9405517578125}, {"start": 1314.49, "end": 1315.35, "word": " تماما", "probability": 0.9908854166666666}], "temperature": 1.0}, {"id": 59, "seek": 134343, "start": 1318.17, "end": 1343.43, "text": "يبقى بدي أحط هذه في صيغة جديدة الصيغة الجديدة وهي Y تساوي E أس الـ X للأساس 2 فلن 2 أس X زائد 1", "tokens": [1829, 3555, 4587, 7578, 4724, 16254, 5551, 5016, 9566, 29538, 8978, 20328, 1829, 17082, 3660, 10874, 16254, 41891, 31767, 1829, 17082, 3660, 25724, 16254, 41891, 37037, 1829, 398, 6055, 3794, 995, 45865, 462, 5551, 3794, 2423, 39184, 1783, 24976, 10721, 3794, 32277, 568, 6156, 1211, 1863, 568, 5551, 3794, 1783, 30767, 16373, 3215, 502], "avg_logprob": -0.3119318279353055, "compression_ratio": 1.3675213675213675, "no_speech_prob": 0.0, "words": [{"start": 1318.17, "end": 1318.67, "word": "يبقى", "probability": 0.796630859375}, {"start": 1318.67, "end": 1318.89, "word": " بدي", "probability": 0.3941650390625}, {"start": 1318.89, "end": 1319.39, "word": " أحط", "probability": 0.6939290364583334}, {"start": 1319.39, "end": 1319.83, "word": " هذه", "probability": 0.62841796875}, {"start": 1319.83, "end": 1320.05, "word": " في", "probability": 0.92724609375}, {"start": 1320.05, "end": 1320.47, "word": " صيغة", "probability": 0.9776611328125}, {"start": 1320.47, "end": 1320.99, "word": " جديدة", "probability": 0.98486328125}, {"start": 1320.99, "end": 1321.83, "word": " الصيغة", "probability": 0.973876953125}, {"start": 1321.83, "end": 1322.31, "word": " الجديدة", "probability": 0.95068359375}, {"start": 1322.31, "end": 1322.83, "word": " وهي", "probability": 0.8193359375}, {"start": 1322.83, "end": 1323.11, "word": " Y", "probability": 0.3779296875}, {"start": 1323.11, "end": 1324.07, "word": " تساوي", "probability": 0.83123779296875}, {"start": 1324.07, "end": 1324.71, "word": " E", "probability": 0.87841796875}, {"start": 1324.71, "end": 1325.41, "word": " أس", "probability": 0.5263671875}, {"start": 1325.41, "end": 1328.67, "word": " الـ", "probability": 0.24578857421875}, {"start": 1328.67, "end": 1329.07, "word": " X", "probability": 0.178466796875}, {"start": 1329.07, "end": 1338.25, "word": " للأساس", "probability": 0.81884765625}, {"start": 1338.25, "end": 1338.87, "word": " 2", "probability": 0.423583984375}, {"start": 1338.87, "end": 1340.21, "word": " فلن", "probability": 0.640625}, {"start": 1340.21, "end": 1341.07, "word": " 2", "probability": 0.8466796875}, {"start": 1341.07, "end": 1341.67, "word": " أس", "probability": 0.93603515625}, {"start": 1341.67, "end": 1342.17, "word": " X", "probability": 0.97314453125}, {"start": 1342.17, "end": 1343.11, "word": " زائد", "probability": 0.8982747395833334}, {"start": 1343.11, "end": 1343.43, "word": " 1", "probability": 0.84423828125}], "temperature": 1.0}, {"id": 60, "seek": 137079, "start": 1344.53, "end": 1370.79, "text": "هذه ليش؟ هذه جاب لي ال len إذا بقدر أخلب TGOS وE وLen عكس بعض بيصير الجوز مرفوع ليه Slug هيو يبقى روحت كتبتها بشكل جديد يبقى هذا التفتيك اللي عملته هنا هايا ده أنا عملته هنا تاني إذا بتروح أشتق بنفس الطريقة يبقى بداجي أقوله ال Y prime يسوي ال exponential زي ما هو", "tokens": [3224, 24192, 32239, 8592, 22807, 29538, 10874, 16758, 32239, 2423, 40116, 11933, 15730, 4724, 28543, 2288, 5551, 9778, 1211, 3555, 314, 38, 4367, 4032, 36, 4032, 43, 268, 6225, 4117, 3794, 45030, 11242, 4724, 1829, 9381, 13546, 2423, 7435, 2407, 11622, 3714, 28480, 45367, 32239, 3224, 6187, 697, 39896, 2407, 7251, 3555, 4587, 7578, 12602, 2407, 33753, 9122, 2655, 3555, 2655, 11296, 4724, 8592, 28820, 10874, 16254, 3215, 7251, 3555, 4587, 7578, 23758, 16712, 5172, 31371, 4117, 13672, 1829, 6225, 42213, 47395, 34105, 8032, 995, 25528, 11778, 3224, 41850, 6225, 42213, 47395, 34105, 6055, 7649, 1829, 11933, 15730, 39894, 32887, 5016, 5551, 8592, 2655, 4587, 44945, 36178, 41950, 16572, 28671, 7251, 3555, 4587, 7578, 47525, 26108, 1829, 5551, 39648, 3224, 2423, 398, 5835, 7251, 3794, 45865, 2423, 21510, 30767, 1829, 19446, 31439], "avg_logprob": -0.3106203150928469, "compression_ratio": 1.6117216117216118, "no_speech_prob": 0.0, "words": [{"start": 1344.53, "end": 1344.93, "word": "هذه", "probability": 0.5462646484375}, {"start": 1344.93, "end": 1345.85, "word": " ليش؟", "probability": 0.6435546875}, {"start": 1345.85, "end": 1346.43, "word": " هذه", "probability": 0.7197265625}, {"start": 1346.43, "end": 1346.97, "word": " جاب", "probability": 0.7607421875}, {"start": 1346.97, "end": 1347.07, "word": " لي", "probability": 0.398193359375}, {"start": 1347.07, "end": 1347.23, "word": " ال", "probability": 0.69189453125}, {"start": 1347.23, "end": 1347.37, "word": " len", "probability": 0.095947265625}, {"start": 1347.37, "end": 1347.73, "word": " إذا", "probability": 0.5859375}, {"start": 1347.73, "end": 1348.17, "word": " بقدر", "probability": 0.8896484375}, {"start": 1348.17, "end": 1348.67, "word": " أخلب", "probability": 0.74969482421875}, {"start": 1348.67, "end": 1349.49, "word": " TGOS", "probability": 0.6333821614583334}, {"start": 1349.49, "end": 1349.91, "word": " وE", "probability": 0.328857421875}, {"start": 1349.91, "end": 1350.33, "word": " وLen", "probability": 0.6002604166666666}, {"start": 1350.33, "end": 1350.65, "word": " عكس", "probability": 0.9599609375}, {"start": 1350.65, "end": 1350.89, "word": " بعض", "probability": 0.99267578125}, {"start": 1350.89, "end": 1351.29, "word": " بيصير", "probability": 0.72003173828125}, {"start": 1351.29, "end": 1351.87, "word": " الجوز", "probability": 0.64581298828125}, {"start": 1351.87, "end": 1352.75, "word": " مرفوع", "probability": 0.9207356770833334}, {"start": 1352.75, "end": 1353.07, "word": " ليه", "probability": 0.5885009765625}, {"start": 1353.07, "end": 1353.57, "word": " Slug", "probability": 0.4915771484375}, {"start": 1353.57, "end": 1354.11, "word": " هيو", "probability": 0.4942626953125}, {"start": 1354.11, "end": 1355.03, "word": " يبقى", "probability": 0.810546875}, {"start": 1355.03, "end": 1355.39, "word": " روحت", "probability": 0.826171875}, {"start": 1355.39, "end": 1355.97, "word": " كتبتها", "probability": 0.96630859375}, {"start": 1355.97, "end": 1356.53, "word": " بشكل", "probability": 0.9908854166666666}, {"start": 1356.53, "end": 1357.21, "word": " جديد", "probability": 0.99609375}, {"start": 1357.21, "end": 1358.01, "word": " يبقى", "probability": 0.967041015625}, {"start": 1358.01, "end": 1358.33, "word": " هذا", "probability": 0.916015625}, {"start": 1358.33, "end": 1358.93, "word": " التفتيك", "probability": 0.982177734375}, {"start": 1358.93, "end": 1359.13, "word": " اللي", "probability": 0.965087890625}, {"start": 1359.13, "end": 1359.69, "word": " عملته", "probability": 0.9661458333333334}, {"start": 1359.69, "end": 1360.05, "word": " هنا", "probability": 0.9853515625}, {"start": 1360.05, "end": 1360.49, "word": " هايا", "probability": 0.3868001302083333}, {"start": 1360.49, "end": 1360.65, "word": " ده", "probability": 0.800537109375}, {"start": 1360.65, "end": 1360.75, "word": " أنا", "probability": 0.453125}, {"start": 1360.75, "end": 1361.19, "word": " عملته", "probability": 0.9597981770833334}, {"start": 1361.19, "end": 1361.45, "word": " هنا", "probability": 0.94384765625}, {"start": 1361.45, "end": 1362.19, "word": " تاني", "probability": 0.8904622395833334}, {"start": 1362.19, "end": 1362.47, "word": " إذا", "probability": 0.845458984375}, {"start": 1362.47, "end": 1362.85, "word": " بتروح", "probability": 0.7711588541666666}, {"start": 1362.85, "end": 1363.35, "word": " أشتق", "probability": 0.88525390625}, {"start": 1363.35, "end": 1363.89, "word": " بنفس", "probability": 0.986083984375}, {"start": 1363.89, "end": 1364.57, "word": " الطريقة", "probability": 0.9939778645833334}, {"start": 1364.57, "end": 1365.39, "word": " يبقى", "probability": 0.9844970703125}, {"start": 1365.39, "end": 1365.95, "word": " بداجي", "probability": 0.5364990234375}, {"start": 1365.95, "end": 1366.49, "word": " أقوله", "probability": 0.8966471354166666}, {"start": 1366.49, "end": 1366.65, "word": " ال", "probability": 0.55078125}, {"start": 1366.65, "end": 1366.95, "word": " Y", "probability": 0.68896484375}, {"start": 1366.95, "end": 1367.53, "word": " prime", "probability": 0.208740234375}, {"start": 1367.53, "end": 1368.07, "word": " يسوي", "probability": 0.6709798177083334}, {"start": 1368.07, "end": 1368.27, "word": " ال", "probability": 0.84814453125}, {"start": 1368.27, "end": 1369.17, "word": " exponential", "probability": 0.68408203125}, {"start": 1369.17, "end": 1370.31, "word": " زي", "probability": 0.987060546875}, {"start": 1370.31, "end": 1370.53, "word": " ما", "probability": 0.95361328125}, {"start": 1370.53, "end": 1370.79, "word": " هو", "probability": 0.958984375}], "temperature": 1.0}, {"id": 61, "seek": 139767, "start": 1371.43, "end": 1397.67, "text": "ماعنديها مشكلة فاهمين؟ في لن اتنين أُس X زائد واحد في مشتقة الأُس الأُس عبارة عن حاصل ضرب دالة تانية يبقى الدالة الأولى في مشتقة الدالة التانية واحد على اتنين أُس X زائد واحد في مشتقة مداخل اللن اللي هو بجداش", "tokens": [15042, 3615, 1863, 16254, 11296, 37893, 28820, 3660, 6156, 995, 16095, 9957, 22807, 8978, 5296, 1863, 1975, 2655, 1863, 9957, 5551, 10859, 3794, 1783, 30767, 16373, 3215, 36764, 24401, 8978, 37893, 2655, 28671, 16247, 10859, 3794, 16247, 10859, 3794, 6225, 3555, 9640, 3660, 18871, 11331, 33546, 1211, 48812, 25513, 11778, 6027, 3660, 6055, 7649, 10632, 7251, 3555, 4587, 7578, 32748, 6027, 3660, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 16712, 7649, 10632, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 5551, 10859, 3794, 1783, 30767, 16373, 3215, 36764, 24401, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 13672, 1863, 13672, 1829, 31439, 4724, 7435, 3215, 33599], "avg_logprob": -0.21487959426477415, "compression_ratio": 2.101123595505618, "no_speech_prob": 0.0, "words": [{"start": 1371.43, "end": 1371.97, "word": "ماعنديها", "probability": 0.563037109375}, {"start": 1371.97, "end": 1372.59, "word": " مشكلة", "probability": 0.9195963541666666}, {"start": 1372.59, "end": 1373.71, "word": " فاهمين؟", "probability": 0.572998046875}, {"start": 1373.71, "end": 1373.95, "word": " في", "probability": 0.4609375}, {"start": 1373.95, "end": 1374.49, "word": " لن", "probability": 0.6751708984375}, {"start": 1374.49, "end": 1375.67, "word": " اتنين", "probability": 0.8944091796875}, {"start": 1375.67, "end": 1376.23, "word": " أُس", "probability": 0.6853841145833334}, {"start": 1376.23, "end": 1376.67, "word": " X", "probability": 0.5361328125}, {"start": 1376.67, "end": 1377.71, "word": " زائد", "probability": 0.9290364583333334}, {"start": 1377.71, "end": 1378.13, "word": " واحد", "probability": 0.98046875}, {"start": 1378.13, "end": 1378.71, "word": " في", "probability": 0.86083984375}, {"start": 1378.71, "end": 1379.49, "word": " مشتقة", "probability": 0.9036458333333334}, {"start": 1379.49, "end": 1380.25, "word": " الأُس", "probability": 0.8531901041666666}, {"start": 1380.25, "end": 1381.25, "word": " الأُس", "probability": 0.806640625}, {"start": 1381.25, "end": 1381.67, "word": " عبارة", "probability": 0.65399169921875}, {"start": 1381.67, "end": 1381.83, "word": " عن", "probability": 0.99609375}, {"start": 1381.83, "end": 1382.35, "word": " حاصل", "probability": 0.8356119791666666}, {"start": 1382.35, "end": 1382.83, "word": " ضرب", "probability": 0.97607421875}, {"start": 1382.83, "end": 1383.97, "word": " دالة", "probability": 0.5821940104166666}, {"start": 1383.97, "end": 1384.37, "word": " تانية", "probability": 0.8798828125}, {"start": 1384.37, "end": 1384.77, "word": " يبقى", "probability": 0.9444580078125}, {"start": 1384.77, "end": 1385.55, "word": " الدالة", "probability": 0.9466145833333334}, {"start": 1385.55, "end": 1387.21, "word": " الأولى", "probability": 0.9742838541666666}, {"start": 1387.21, "end": 1387.69, "word": " في", "probability": 0.89501953125}, {"start": 1387.69, "end": 1388.43, "word": " مشتقة", "probability": 0.98291015625}, {"start": 1388.43, "end": 1389.07, "word": " الدالة", "probability": 0.9876302083333334}, {"start": 1389.07, "end": 1389.57, "word": " التانية", "probability": 0.9661458333333334}, {"start": 1389.57, "end": 1390.49, "word": " واحد", "probability": 0.9521484375}, {"start": 1390.49, "end": 1391.29, "word": " على", "probability": 0.587890625}, {"start": 1391.29, "end": 1391.97, "word": " اتنين", "probability": 0.9708251953125}, {"start": 1391.97, "end": 1392.49, "word": " أُس", "probability": 0.9313151041666666}, {"start": 1392.49, "end": 1392.87, "word": " X", "probability": 0.9921875}, {"start": 1392.87, "end": 1393.51, "word": " زائد", "probability": 0.9739583333333334}, {"start": 1393.51, "end": 1394.13, "word": " واحد", "probability": 0.992431640625}, {"start": 1394.13, "end": 1394.61, "word": " في", "probability": 0.9013671875}, {"start": 1394.61, "end": 1395.39, "word": " مشتقة", "probability": 0.9835611979166666}, {"start": 1395.39, "end": 1396.13, "word": " مداخل", "probability": 0.8817138671875}, {"start": 1396.13, "end": 1396.47, "word": " اللن", "probability": 0.8701171875}, {"start": 1396.47, "end": 1396.63, "word": " اللي", "probability": 0.81640625}, {"start": 1396.63, "end": 1396.75, "word": " هو", "probability": 0.9892578125}, {"start": 1396.75, "end": 1397.67, "word": " بجداش", "probability": 0.68865966796875}], "temperature": 1.0}, {"id": 62, "seek": 141831, "start": 1399.49, "end": 1418.31, "text": "2 أُس X في لن 2 هذا الأولى في مشتقة الدالة الثانية زائد الدالة الثانية 2 أُس X زائد 1 في مشتقة الأولى ل1 على X في لن 2", "tokens": [17, 5551, 10859, 3794, 1783, 8978, 5296, 1863, 568, 23758, 16247, 12610, 7578, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 6024, 104, 7649, 10632, 30767, 16373, 3215, 32748, 6027, 3660, 6024, 104, 7649, 10632, 568, 5551, 10859, 3794, 1783, 30767, 16373, 3215, 502, 8978, 37893, 2655, 28671, 16247, 12610, 7578, 5296, 16, 15844, 1783, 8978, 5296, 1863, 568], "avg_logprob": -0.21411546812219134, "compression_ratio": 1.8773584905660377, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1399.49, "end": 1400.01, "word": "2", "probability": 0.175048828125}, {"start": 1400.01, "end": 1400.61, "word": " أُس", "probability": 0.5450032552083334}, {"start": 1400.61, "end": 1401.01, "word": " X", "probability": 0.60498046875}, {"start": 1401.01, "end": 1401.47, "word": " في", "probability": 0.2406005859375}, {"start": 1401.47, "end": 1401.83, "word": " لن", "probability": 0.848388671875}, {"start": 1401.83, "end": 1402.35, "word": " 2", "probability": 0.7978515625}, {"start": 1402.35, "end": 1403.39, "word": " هذا", "probability": 0.634765625}, {"start": 1403.39, "end": 1404.19, "word": " الأولى", "probability": 0.91259765625}, {"start": 1404.19, "end": 1404.33, "word": " في", "probability": 0.8818359375}, {"start": 1404.33, "end": 1405.01, "word": " مشتقة", "probability": 0.8844401041666666}, {"start": 1405.01, "end": 1405.67, "word": " الدالة", "probability": 0.9459635416666666}, {"start": 1405.67, "end": 1406.19, "word": " الثانية", "probability": 0.968505859375}, {"start": 1406.19, "end": 1407.29, "word": " زائد", "probability": 0.7864583333333334}, {"start": 1407.29, "end": 1408.13, "word": " الدالة", "probability": 0.97900390625}, {"start": 1408.13, "end": 1409.03, "word": " الثانية", "probability": 0.9818115234375}, {"start": 1409.03, "end": 1409.83, "word": " 2", "probability": 0.84521484375}, {"start": 1409.83, "end": 1410.39, "word": " أُس", "probability": 0.85888671875}, {"start": 1410.39, "end": 1410.71, "word": " X", "probability": 0.98974609375}, {"start": 1410.71, "end": 1411.21, "word": " زائد", "probability": 0.9513346354166666}, {"start": 1411.21, "end": 1411.69, "word": " 1", "probability": 0.86865234375}, {"start": 1411.69, "end": 1412.17, "word": " في", "probability": 0.5849609375}, {"start": 1412.17, "end": 1412.81, "word": " مشتقة", "probability": 0.97314453125}, {"start": 1412.81, "end": 1413.33, "word": " الأولى", "probability": 0.96728515625}, {"start": 1413.33, "end": 1414.17, "word": " ل1", "probability": 0.4371337890625}, {"start": 1414.17, "end": 1415.35, "word": " على", "probability": 0.798828125}, {"start": 1415.35, "end": 1416.33, "word": " X", "probability": 0.9794921875}, {"start": 1416.33, "end": 1416.97, "word": " في", "probability": 0.9560546875}, {"start": 1416.97, "end": 1417.53, "word": " لن", "probability": 0.9951171875}, {"start": 1417.53, "end": 1418.31, "word": " 2", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 63, "seek": 144632, "start": 1421.6, "end": 1446.32, "text": "طيب يبقى هذا الكلام دي سابق دي ارجع هذه للاصل بتباعها يبقى الاصل بتباعها اتنين اص اكس زائد واحد اص لج الاكس للاساس اتنين في اللي هو من اتنين اص اكس في الان اتنين في ال .. اه والله بتيجي فيه اختصارات طب كويس", "tokens": [9566, 1829, 3555, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 11778, 1829, 8608, 16758, 4587, 11778, 1829, 1975, 47341, 3615, 29538, 24976, 33546, 1211, 39894, 3555, 45761, 11296, 7251, 3555, 4587, 7578, 2423, 33546, 1211, 39894, 3555, 45761, 11296, 1975, 2655, 1863, 9957, 1975, 9381, 1975, 4117, 3794, 30767, 16373, 3215, 36764, 24401, 1975, 9381, 5296, 7435, 42963, 4117, 3794, 24976, 32277, 32277, 1975, 2655, 1863, 9957, 8978, 13672, 1829, 31439, 9154, 1975, 2655, 1863, 9957, 1975, 9381, 1975, 4117, 3794, 8978, 2423, 7649, 1975, 2655, 1863, 9957, 8978, 2423, 4386, 1975, 3224, 16070, 43761, 4724, 31371, 7435, 1829, 8978, 3224, 1975, 46456, 9381, 9640, 9307, 23032, 3555, 9122, 45865, 3794], "avg_logprob": -0.23879977243136516, "compression_ratio": 2.061797752808989, "no_speech_prob": 0.0, "words": [{"start": 1421.6, "end": 1422.16, "word": "طيب", "probability": 0.71240234375}, {"start": 1422.16, "end": 1422.92, "word": " يبقى", "probability": 0.89208984375}, {"start": 1422.92, "end": 1423.18, "word": " هذا", "probability": 0.82861328125}, {"start": 1423.18, "end": 1423.62, "word": " الكلام", "probability": 0.9529622395833334}, {"start": 1423.62, "end": 1423.84, "word": " دي", "probability": 0.900146484375}, {"start": 1423.84, "end": 1424.14, "word": " سابق", "probability": 0.633056640625}, {"start": 1424.14, "end": 1424.46, "word": " دي", "probability": 0.6439208984375}, {"start": 1424.46, "end": 1425.14, "word": " ارجع", "probability": 0.826171875}, {"start": 1425.14, "end": 1425.48, "word": " هذه", "probability": 0.204833984375}, {"start": 1425.48, "end": 1426.16, "word": " للاصل", "probability": 0.6888020833333334}, {"start": 1426.16, "end": 1426.86, "word": " بتباعها", "probability": 0.661376953125}, {"start": 1426.86, "end": 1427.6, "word": " يبقى", "probability": 0.96533203125}, {"start": 1427.6, "end": 1428.1, "word": " الاصل", "probability": 0.8623046875}, {"start": 1428.1, "end": 1428.8, "word": " بتباعها", "probability": 0.933837890625}, {"start": 1428.8, "end": 1429.24, "word": " اتنين", "probability": 0.73272705078125}, {"start": 1429.24, "end": 1429.6, "word": " اص", "probability": 0.54541015625}, {"start": 1429.6, "end": 1429.98, "word": " اكس", "probability": 0.8811848958333334}, {"start": 1429.98, "end": 1430.52, "word": " زائد", "probability": 0.9339192708333334}, {"start": 1430.52, "end": 1431.04, "word": " واحد", "probability": 0.984619140625}, {"start": 1431.04, "end": 1431.56, "word": " اص", "probability": 0.892333984375}, {"start": 1431.56, "end": 1432.48, "word": " لج", "probability": 0.64013671875}, {"start": 1432.48, "end": 1433.18, "word": " الاكس", "probability": 0.7261149088541666}, {"start": 1433.18, "end": 1434.02, "word": " للاساس", "probability": 0.8458658854166666}, {"start": 1434.02, "end": 1434.76, "word": " اتنين", "probability": 0.976318359375}, {"start": 1434.76, "end": 1435.7, "word": " في", "probability": 0.888671875}, {"start": 1435.7, "end": 1436.46, "word": " اللي", "probability": 0.845458984375}, {"start": 1436.46, "end": 1436.66, "word": " هو", "probability": 0.91943359375}, {"start": 1436.66, "end": 1437.12, "word": " من", "probability": 0.72119140625}, {"start": 1437.12, "end": 1439.56, "word": " اتنين", "probability": 0.9803466796875}, {"start": 1439.56, "end": 1440.08, "word": " اص", "probability": 0.923095703125}, {"start": 1440.08, "end": 1440.62, "word": " اكس", "probability": 0.96630859375}, {"start": 1440.62, "end": 1440.86, "word": " في", "probability": 0.85546875}, {"start": 1440.86, "end": 1441.24, "word": " الان", "probability": 0.5716552734375}, {"start": 1441.24, "end": 1442.02, "word": " اتنين", "probability": 0.846923828125}, {"start": 1442.02, "end": 1442.62, "word": " في", "probability": 0.83203125}, {"start": 1442.62, "end": 1442.86, "word": " ال", "probability": 0.69091796875}, {"start": 1442.86, "end": 1442.88, "word": " ..", "probability": 0.445556640625}, {"start": 1442.88, "end": 1443.1, "word": " اه", "probability": 0.87158203125}, {"start": 1443.1, "end": 1443.36, "word": " والله", "probability": 0.755859375}, {"start": 1443.36, "end": 1443.76, "word": " بتيجي", "probability": 0.86480712890625}, {"start": 1443.76, "end": 1444.0, "word": " فيه", "probability": 0.73974609375}, {"start": 1444.0, "end": 1445.0, "word": " اختصارات", "probability": 0.98408203125}, {"start": 1445.0, "end": 1445.62, "word": " طب", "probability": 0.59130859375}, {"start": 1445.62, "end": 1446.32, "word": " كويس", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 64, "seek": 147476, "start": 1447.18, "end": 1474.76, "text": "بنعملها في لن اتنين هذه بقدر اكتبها log ال X على من؟ على log اتنين يبجى لن ال X على من؟ على لن اتنين في اتنين أُس X زائد واحد يبجى هذه اتنين أُس X لن اتنين هي هذه لن ال X على لن اتنين هذه الجثة نزلناها زي ما هنا", "tokens": [3555, 1863, 25957, 1211, 11296, 8978, 5296, 1863, 1975, 2655, 1863, 9957, 29538, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 3565, 2423, 1783, 15844, 9154, 22807, 15844, 3565, 1975, 2655, 1863, 9957, 7251, 3555, 7435, 7578, 5296, 1863, 2423, 1783, 15844, 9154, 22807, 15844, 5296, 1863, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 5551, 10859, 3794, 1783, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 7435, 7578, 29538, 1975, 2655, 1863, 9957, 5551, 10859, 3794, 1783, 5296, 1863, 1975, 2655, 1863, 9957, 39896, 29538, 5296, 1863, 2423, 1783, 15844, 5296, 1863, 1975, 2655, 1863, 9957, 29538, 25724, 12984, 3660, 8717, 11622, 1211, 8315, 11296, 30767, 1829, 19446, 34105], "avg_logprob": -0.21593468549015285, "compression_ratio": 2.201219512195122, "no_speech_prob": 0.0, "words": [{"start": 1447.18, "end": 1448.08, "word": "بنعملها", "probability": 0.815673828125}, {"start": 1448.08, "end": 1448.24, "word": " في", "probability": 0.54296875}, {"start": 1448.24, "end": 1448.52, "word": " لن", "probability": 0.67578125}, {"start": 1448.52, "end": 1449.04, "word": " اتنين", "probability": 0.8043212890625}, {"start": 1449.04, "end": 1449.9, "word": " هذه", "probability": 0.3837890625}, {"start": 1449.9, "end": 1450.42, "word": " بقدر", "probability": 0.9039713541666666}, {"start": 1450.42, "end": 1451.06, "word": " اكتبها", "probability": 0.916796875}, {"start": 1451.06, "end": 1451.48, "word": " log", "probability": 0.859375}, {"start": 1451.48, "end": 1451.76, "word": " ال", "probability": 0.6103515625}, {"start": 1451.76, "end": 1452.1, "word": " X", "probability": 0.5244140625}, {"start": 1452.1, "end": 1452.38, "word": " على", "probability": 0.60009765625}, {"start": 1452.38, "end": 1452.86, "word": " من؟", "probability": 0.510009765625}, {"start": 1452.86, "end": 1453.58, "word": " على", "probability": 0.80029296875}, {"start": 1453.58, "end": 1453.98, "word": " log", "probability": 0.9091796875}, {"start": 1453.98, "end": 1454.64, "word": " اتنين", "probability": 0.9046630859375}, {"start": 1454.64, "end": 1455.88, "word": " يبجى", "probability": 0.8206787109375}, {"start": 1455.88, "end": 1457.04, "word": " لن", "probability": 0.7362060546875}, {"start": 1457.04, "end": 1457.92, "word": " ال", "probability": 0.90869140625}, {"start": 1457.92, "end": 1458.54, "word": " X", "probability": 0.95849609375}, {"start": 1458.54, "end": 1459.44, "word": " على", "probability": 0.833984375}, {"start": 1459.44, "end": 1460.4, "word": " من؟", "probability": 0.835693359375}, {"start": 1460.4, "end": 1460.78, "word": " على", "probability": 0.8564453125}, {"start": 1460.78, "end": 1461.32, "word": " لن", "probability": 0.97607421875}, {"start": 1461.32, "end": 1462.14, "word": " اتنين", "probability": 0.9879150390625}, {"start": 1462.14, "end": 1462.64, "word": " في", "probability": 0.5048828125}, {"start": 1462.64, "end": 1463.36, "word": " اتنين", "probability": 0.83843994140625}, {"start": 1463.36, "end": 1463.84, "word": " أُس", "probability": 0.6228841145833334}, {"start": 1463.84, "end": 1464.24, "word": " X", "probability": 0.98046875}, {"start": 1464.24, "end": 1465.08, "word": " زائد", "probability": 0.9329427083333334}, {"start": 1465.08, "end": 1465.54, "word": " واحد", "probability": 0.95947265625}, {"start": 1465.54, "end": 1466.72, "word": " يبجى", "probability": 0.973876953125}, {"start": 1466.72, "end": 1466.98, "word": " هذه", "probability": 0.255126953125}, {"start": 1466.98, "end": 1467.34, "word": " اتنين", "probability": 0.944580078125}, {"start": 1467.34, "end": 1467.56, "word": " أُس", "probability": 0.8688151041666666}, {"start": 1467.56, "end": 1467.8, "word": " X", "probability": 0.994140625}, {"start": 1467.8, "end": 1468.14, "word": " لن", "probability": 0.962646484375}, {"start": 1468.14, "end": 1468.56, "word": " اتنين", "probability": 0.98388671875}, {"start": 1468.56, "end": 1468.86, "word": " هي", "probability": 0.9052734375}, {"start": 1468.86, "end": 1469.66, "word": " هذه", "probability": 0.368408203125}, {"start": 1469.66, "end": 1470.22, "word": " لن", "probability": 0.826904296875}, {"start": 1470.22, "end": 1470.42, "word": " ال", "probability": 0.8388671875}, {"start": 1470.42, "end": 1470.74, "word": " X", "probability": 0.98681640625}, {"start": 1470.74, "end": 1471.04, "word": " على", "probability": 0.8037109375}, {"start": 1471.04, "end": 1471.36, "word": " لن", "probability": 0.9833984375}, {"start": 1471.36, "end": 1471.86, "word": " اتنين", "probability": 0.987548828125}, {"start": 1471.86, "end": 1472.44, "word": " هذه", "probability": 0.2509765625}, {"start": 1472.44, "end": 1472.88, "word": " الجثة", "probability": 0.6201171875}, {"start": 1472.88, "end": 1473.84, "word": " نزلناها", "probability": 0.9376953125}, {"start": 1473.84, "end": 1474.32, "word": " زي", "probability": 0.971435546875}, {"start": 1474.32, "end": 1474.56, "word": " ما", "probability": 0.9541015625}, {"start": 1474.56, "end": 1474.76, "word": " هنا", "probability": 0.65283203125}], "temperature": 1.0}, {"id": 65, "seek": 149158, "start": 1475.08, "end": 1491.58, "text": "يبقى زائد لن اتنين اص اكس زائد واحد كله مقسوما على اكس في لن اتنين لن اتنين مع لن اتنين يبقى النتيجة دوري", "tokens": [1829, 3555, 4587, 7578, 30767, 16373, 3215, 5296, 1863, 1975, 2655, 1863, 9957, 1975, 9381, 1975, 4117, 3794, 30767, 16373, 3215, 36764, 24401, 28242, 3224, 3714, 4587, 3794, 2407, 15042, 15844, 1975, 4117, 3794, 8978, 5296, 1863, 1975, 2655, 1863, 9957, 5296, 1863, 1975, 2655, 1863, 9957, 20449, 5296, 1863, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 11778, 13063, 1829], "avg_logprob": -0.16773200170560318, "compression_ratio": 1.825242718446602, "no_speech_prob": 0.0, "words": [{"start": 1475.08, "end": 1475.88, "word": "يبقى", "probability": 0.853515625}, {"start": 1475.88, "end": 1476.6, "word": " زائد", "probability": 0.6749674479166666}, {"start": 1476.6, "end": 1477.2, "word": " لن", "probability": 0.58563232421875}, {"start": 1477.2, "end": 1478.3, "word": " اتنين", "probability": 0.94091796875}, {"start": 1478.3, "end": 1478.86, "word": " اص", "probability": 0.392333984375}, {"start": 1478.86, "end": 1479.4, "word": " اكس", "probability": 0.8844401041666666}, {"start": 1479.4, "end": 1480.58, "word": " زائد", "probability": 0.96826171875}, {"start": 1480.58, "end": 1481.38, "word": " واحد", "probability": 0.98291015625}, {"start": 1481.38, "end": 1482.22, "word": " كله", "probability": 0.93505859375}, {"start": 1482.22, "end": 1483.0, "word": " مقسوما", "probability": 0.79990234375}, {"start": 1483.0, "end": 1483.9, "word": " على", "probability": 0.74609375}, {"start": 1483.9, "end": 1484.54, "word": " اكس", "probability": 0.8694661458333334}, {"start": 1484.54, "end": 1484.8, "word": " في", "probability": 0.5439453125}, {"start": 1484.8, "end": 1485.12, "word": " لن", "probability": 0.961181640625}, {"start": 1485.12, "end": 1485.6, "word": " اتنين", "probability": 0.9898681640625}, {"start": 1485.6, "end": 1486.48, "word": " لن", "probability": 0.9013671875}, {"start": 1486.48, "end": 1487.24, "word": " اتنين", "probability": 0.991943359375}, {"start": 1487.24, "end": 1487.9, "word": " مع", "probability": 0.9443359375}, {"start": 1487.9, "end": 1488.64, "word": " لن", "probability": 0.991455078125}, {"start": 1488.64, "end": 1489.34, "word": " اتنين", "probability": 0.993408203125}, {"start": 1489.34, "end": 1490.26, "word": " يبقى", "probability": 0.968994140625}, {"start": 1490.26, "end": 1490.98, "word": " النتيجة", "probability": 0.9561767578125}, {"start": 1490.98, "end": 1491.58, "word": " دوري", "probability": 0.7526041666666666}], "temperature": 1.0}, {"id": 66, "seek": 151957, "start": 1513.85, "end": 1519.57, "text": "سؤال التاسع تسعة", "tokens": [3794, 33604, 6027, 16712, 32277, 3615, 6055, 3794, 27884], "avg_logprob": -0.2814453184604645, "compression_ratio": 0.8571428571428571, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1513.85, "end": 1515.25, "word": "سؤال", "probability": 0.7430826822916666}, {"start": 1515.25, "end": 1516.05, "word": " التاسع", "probability": 0.8427734375}, {"start": 1516.05, "end": 1519.57, "word": " تسعة", "probability": 0.8805338541666666}], "temperature": 1.0}, {"id": 67, "seek": 154936, "start": 1520.52, "end": 1549.36, "text": "Y تساوي تكامل من E أس أربع جذر ال X ل E أس اتنين X ل LN T DT ما طلبش مني أكمل طلب أفاضل لكن لو كملت و رحت فدلت صح بس حد فيكم يعرف يكمل LN T حتى هذه اللحظة", "tokens": [56, 6055, 3794, 995, 45865, 6055, 4117, 10943, 1211, 9154, 462, 5551, 3794, 5551, 25513, 3615, 10874, 8848, 2288, 2423, 1783, 5296, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 5296, 441, 45, 314, 413, 51, 19446, 23032, 46152, 8592, 9154, 1829, 5551, 24793, 1211, 23032, 46152, 5551, 5172, 46958, 1211, 44381, 45164, 9122, 42213, 2655, 4032, 12602, 33753, 6156, 3215, 1211, 2655, 20328, 5016, 4724, 3794, 11331, 3215, 8978, 24793, 37495, 28480, 7251, 24793, 1211, 441, 45, 314, 11331, 49975, 29538, 13672, 5016, 19913, 3660], "avg_logprob": -0.187140798089148, "compression_ratio": 1.5776397515527951, "no_speech_prob": 0.0, "words": [{"start": 1520.52, "end": 1521.26, "word": "Y", "probability": 0.423828125}, {"start": 1521.26, "end": 1522.0, "word": " تساوي", "probability": 0.739166259765625}, {"start": 1522.0, "end": 1522.98, "word": " تكامل", "probability": 0.97509765625}, {"start": 1522.98, "end": 1524.16, "word": " من", "probability": 0.9111328125}, {"start": 1524.16, "end": 1524.64, "word": " E", "probability": 0.7509765625}, {"start": 1524.64, "end": 1525.18, "word": " أس", "probability": 0.5831298828125}, {"start": 1525.18, "end": 1525.96, "word": " أربع", "probability": 0.7893880208333334}, {"start": 1525.96, "end": 1526.7, "word": " جذر", "probability": 0.95849609375}, {"start": 1526.7, "end": 1527.0, "word": " ال", "probability": 0.64501953125}, {"start": 1527.0, "end": 1527.42, "word": " X", "probability": 0.72021484375}, {"start": 1527.42, "end": 1528.4, "word": " ل", "probability": 0.89501953125}, {"start": 1528.4, "end": 1528.92, "word": " E", "probability": 0.7705078125}, {"start": 1528.92, "end": 1529.56, "word": " أس", "probability": 0.969970703125}, {"start": 1529.56, "end": 1530.32, "word": " اتنين", "probability": 0.90380859375}, {"start": 1530.32, "end": 1530.86, "word": " X", "probability": 0.99267578125}, {"start": 1530.86, "end": 1531.7, "word": " ل", "probability": 0.93505859375}, {"start": 1531.7, "end": 1532.26, "word": " LN", "probability": 0.31585693359375}, {"start": 1532.26, "end": 1533.06, "word": " T", "probability": 0.82373046875}, {"start": 1533.06, "end": 1533.96, "word": " DT", "probability": 0.6441650390625}, {"start": 1533.96, "end": 1538.76, "word": " ما", "probability": 0.2476806640625}, {"start": 1538.76, "end": 1539.3, "word": " طلبش", "probability": 0.923828125}, {"start": 1539.3, "end": 1539.7, "word": " مني", "probability": 0.945556640625}, {"start": 1539.7, "end": 1540.32, "word": " أكمل", "probability": 0.8785807291666666}, {"start": 1540.32, "end": 1540.72, "word": " طلب", "probability": 0.99609375}, {"start": 1540.72, "end": 1541.5, "word": " أفاضل", "probability": 0.904052734375}, {"start": 1541.5, "end": 1542.42, "word": " لكن", "probability": 0.79052734375}, {"start": 1542.42, "end": 1542.84, "word": " لو", "probability": 0.9892578125}, {"start": 1542.84, "end": 1543.46, "word": " كملت", "probability": 0.8992513020833334}, {"start": 1543.46, "end": 1543.56, "word": " و", "probability": 0.9921875}, {"start": 1543.56, "end": 1543.78, "word": " رحت", "probability": 0.8076171875}, {"start": 1543.78, "end": 1544.32, "word": " فدلت", "probability": 0.8638916015625}, {"start": 1544.32, "end": 1544.64, "word": " صح", "probability": 0.9677734375}, {"start": 1544.64, "end": 1545.5, "word": " بس", "probability": 0.9326171875}, {"start": 1545.5, "end": 1545.76, "word": " حد", "probability": 0.772705078125}, {"start": 1545.76, "end": 1546.1, "word": " فيكم", "probability": 0.7142333984375}, {"start": 1546.1, "end": 1546.44, "word": " يعرف", "probability": 0.9326171875}, {"start": 1546.44, "end": 1547.06, "word": " يكمل", "probability": 0.9342447916666666}, {"start": 1547.06, "end": 1547.64, "word": " LN", "probability": 0.844482421875}, {"start": 1547.64, "end": 1547.92, "word": " T", "probability": 0.97314453125}, {"start": 1547.92, "end": 1548.38, "word": " حتى", "probability": 0.77978515625}, {"start": 1548.38, "end": 1548.74, "word": " هذه", "probability": 0.98193359375}, {"start": 1548.74, "end": 1549.36, "word": " اللحظة", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 68, "seek": 157129, "start": 1549.97, "end": 1571.29, "text": "طبعاً لأ، لكن مرحبا بكم في الشتر الجامعي. في أول section تمانية واحد، هنكامل من؟ لنا ال X DX. إذا احنا بدنا نشتق اشتقاق مباشر و ليس من و ليس تكمل. إذا لو جات أشتق، بدأ أقول له Y' تساوي. طبعاً هذه علامات", "tokens": [9566, 3555, 3615, 995, 14111, 5296, 10721, 12399, 44381, 3714, 2288, 5016, 3555, 995, 4724, 24793, 8978, 25124, 2655, 2288, 25724, 10943, 3615, 1829, 13, 8978, 5551, 12610, 3541, 46811, 7649, 10632, 36764, 24401, 12399, 8032, 1863, 4117, 10943, 1211, 9154, 22807, 5296, 8315, 2423, 1783, 48817, 13, 11933, 15730, 1975, 5016, 8315, 47525, 8315, 8717, 8592, 2655, 4587, 1975, 8592, 2655, 4587, 995, 4587, 3714, 3555, 33599, 2288, 4032, 32239, 3794, 9154, 4032, 32239, 3794, 6055, 24793, 1211, 13, 11933, 15730, 45164, 10874, 9307, 5551, 8592, 2655, 4587, 12399, 47525, 10721, 5551, 39648, 46740, 398, 6, 6055, 3794, 995, 45865, 13, 23032, 3555, 3615, 995, 14111, 29538, 11203, 10943, 9307], "avg_logprob": -0.2904575749167374, "compression_ratio": 1.624413145539906, "no_speech_prob": 0.0, "words": [{"start": 1549.97, "end": 1550.53, "word": "طبعاً", "probability": 0.7816162109375}, {"start": 1550.53, "end": 1550.75, "word": " لأ،", "probability": 0.6736653645833334}, {"start": 1550.75, "end": 1551.01, "word": " لكن", "probability": 0.89990234375}, {"start": 1551.01, "end": 1551.47, "word": " مرحبا", "probability": 0.96806640625}, {"start": 1551.47, "end": 1551.69, "word": " بكم", "probability": 0.52490234375}, {"start": 1551.69, "end": 1551.85, "word": " في", "probability": 0.94384765625}, {"start": 1551.85, "end": 1552.29, "word": " الشتر", "probability": 0.4077962239583333}, {"start": 1552.29, "end": 1553.05, "word": " الجامعي.", "probability": 0.8099365234375}, {"start": 1553.15, "end": 1553.29, "word": " في", "probability": 0.3994140625}, {"start": 1553.29, "end": 1553.63, "word": " أول", "probability": 0.909912109375}, {"start": 1553.63, "end": 1554.05, "word": " section", "probability": 0.7744140625}, {"start": 1554.05, "end": 1554.61, "word": " تمانية", "probability": 0.718505859375}, {"start": 1554.61, "end": 1555.29, "word": " واحد،", "probability": 0.7809244791666666}, {"start": 1555.29, "end": 1556.17, "word": " هنكامل", "probability": 0.76240234375}, {"start": 1556.17, "end": 1556.83, "word": " من؟", "probability": 0.90576171875}, {"start": 1556.83, "end": 1557.21, "word": " لنا", "probability": 0.90576171875}, {"start": 1557.21, "end": 1557.37, "word": " ال", "probability": 0.96484375}, {"start": 1557.37, "end": 1557.63, "word": " X", "probability": 0.425537109375}, {"start": 1557.63, "end": 1557.93, "word": " DX.", "probability": 0.70556640625}, {"start": 1558.09, "end": 1558.45, "word": " إذا", "probability": 0.693603515625}, {"start": 1558.45, "end": 1559.39, "word": " احنا", "probability": 0.8610026041666666}, {"start": 1559.39, "end": 1559.81, "word": " بدنا", "probability": 0.93994140625}, {"start": 1559.81, "end": 1560.37, "word": " نشتق", "probability": 0.962890625}, {"start": 1560.37, "end": 1561.29, "word": " اشتقاق", "probability": 0.9391276041666666}, {"start": 1561.29, "end": 1562.13, "word": " مباشر", "probability": 0.991943359375}, {"start": 1562.13, "end": 1562.65, "word": " و", "probability": 0.77490234375}, {"start": 1562.65, "end": 1563.01, "word": " ليس", "probability": 0.79150390625}, {"start": 1563.01, "end": 1563.41, "word": " من", "probability": 0.87255859375}, {"start": 1563.41, "end": 1563.87, "word": " و", "probability": 0.71923828125}, {"start": 1563.87, "end": 1564.21, "word": " ليس", "probability": 0.87939453125}, {"start": 1564.21, "end": 1564.79, "word": " تكمل.", "probability": 0.8626302083333334}, {"start": 1564.95, "end": 1565.33, "word": " إذا", "probability": 0.821044921875}, {"start": 1565.33, "end": 1566.27, "word": " لو", "probability": 0.94140625}, {"start": 1566.27, "end": 1566.59, "word": " جات", "probability": 0.6356201171875}, {"start": 1566.59, "end": 1567.23, "word": " أشتق،", "probability": 0.805419921875}, {"start": 1567.23, "end": 1567.55, "word": " بدأ", "probability": 0.6005859375}, {"start": 1567.55, "end": 1567.75, "word": " أقول", "probability": 0.915771484375}, {"start": 1567.75, "end": 1567.97, "word": " له", "probability": 0.3125}, {"start": 1567.97, "end": 1568.27, "word": " Y'", "probability": 0.91748046875}, {"start": 1568.77, "end": 1569.43, "word": " تساوي.", "probability": 0.81396484375}, {"start": 1569.89, "end": 1570.37, "word": " طبعاً", "probability": 0.8857421875}, {"start": 1570.37, "end": 1570.61, "word": " هذه", "probability": 0.69140625}, {"start": 1570.61, "end": 1571.29, "word": " علامات", "probability": 0.5132649739583334}], "temperature": 1.0}, {"id": 69, "seek": 159533, "start": 1572.29, "end": 1595.33, "text": "على الـ Fundamental Theorem of Calculus ماعليه إلا أشيل T و أضغط بدلها الدالة اللي فوق و أضغط فيه مشتقة الدالة اللي فوق يبقى بصيرها دلن E أس اتنين X في مشتقة الدالة اللي فوق E أس اتنين X زي ما هي في اتنين", "tokens": [3615, 23942, 2423, 39184, 13493, 44538, 440, 37956, 295, 3511, 36002, 19446, 3615, 20292, 3224, 11933, 15040, 5551, 8592, 26895, 314, 4032, 5551, 11242, 17082, 9566, 47525, 1211, 11296, 32748, 6027, 3660, 13672, 1829, 6156, 30543, 4032, 5551, 11242, 17082, 9566, 8978, 3224, 37893, 2655, 28671, 32748, 6027, 3660, 13672, 1829, 6156, 30543, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 11296, 11778, 1211, 1863, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 13672, 1829, 6156, 30543, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 30767, 1829, 19446, 39896, 8978, 1975, 2655, 1863, 9957], "avg_logprob": -0.1653774687559298, "compression_ratio": 1.8444444444444446, "no_speech_prob": 0.0, "words": [{"start": 1572.29, "end": 1572.77, "word": "على", "probability": 0.6185302734375}, {"start": 1572.77, "end": 1572.99, "word": " الـ", "probability": 0.688232421875}, {"start": 1572.99, "end": 1573.79, "word": " Fundamental", "probability": 0.89990234375}, {"start": 1573.79, "end": 1574.53, "word": " Theorem", "probability": 0.70947265625}, {"start": 1574.53, "end": 1575.13, "word": " of", "probability": 0.861328125}, {"start": 1575.13, "end": 1575.81, "word": " Calculus", "probability": 0.9462890625}, {"start": 1575.81, "end": 1576.51, "word": " ماعليه", "probability": 0.59429931640625}, {"start": 1576.51, "end": 1576.81, "word": " إلا", "probability": 0.740234375}, {"start": 1576.81, "end": 1577.33, "word": " أشيل", "probability": 0.9298502604166666}, {"start": 1577.33, "end": 1577.75, "word": " T", "probability": 0.9296875}, {"start": 1577.75, "end": 1578.31, "word": " و", "probability": 0.87109375}, {"start": 1578.31, "end": 1578.65, "word": " أضغط", "probability": 0.80908203125}, {"start": 1578.65, "end": 1579.13, "word": " بدلها", "probability": 0.8494466145833334}, {"start": 1579.13, "end": 1579.53, "word": " الدالة", "probability": 0.8499348958333334}, {"start": 1579.53, "end": 1579.65, "word": " اللي", "probability": 0.6865234375}, {"start": 1579.65, "end": 1580.11, "word": " فوق", "probability": 0.948974609375}, {"start": 1580.11, "end": 1580.57, "word": " و", "probability": 0.83544921875}, {"start": 1580.57, "end": 1581.01, "word": " أضغط", "probability": 0.969482421875}, {"start": 1581.01, "end": 1581.25, "word": " فيه", "probability": 0.83837890625}, {"start": 1581.25, "end": 1581.83, "word": " مشتقة", "probability": 0.9033203125}, {"start": 1581.83, "end": 1582.39, "word": " الدالة", "probability": 0.9915364583333334}, {"start": 1582.39, "end": 1582.59, "word": " اللي", "probability": 0.98486328125}, {"start": 1582.59, "end": 1582.95, "word": " فوق", "probability": 0.984375}, {"start": 1582.95, "end": 1583.77, "word": " يبقى", "probability": 0.9234619140625}, {"start": 1583.77, "end": 1584.51, "word": " بصيرها", "probability": 0.96630859375}, {"start": 1584.51, "end": 1585.61, "word": " دلن", "probability": 0.646240234375}, {"start": 1585.61, "end": 1586.37, "word": " E", "probability": 0.8740234375}, {"start": 1586.37, "end": 1587.07, "word": " أس", "probability": 0.5111083984375}, {"start": 1587.07, "end": 1588.35, "word": " اتنين", "probability": 0.9310302734375}, {"start": 1588.35, "end": 1588.81, "word": " X", "probability": 0.974609375}, {"start": 1588.81, "end": 1589.55, "word": " في", "probability": 0.85888671875}, {"start": 1589.55, "end": 1590.29, "word": " مشتقة", "probability": 0.9794921875}, {"start": 1590.29, "end": 1590.85, "word": " الدالة", "probability": 0.9944661458333334}, {"start": 1590.85, "end": 1591.01, "word": " اللي", "probability": 0.986328125}, {"start": 1591.01, "end": 1591.33, "word": " فوق", "probability": 0.9833984375}, {"start": 1591.33, "end": 1591.87, "word": " E", "probability": 0.98681640625}, {"start": 1591.87, "end": 1592.41, "word": " أس", "probability": 0.910888671875}, {"start": 1592.41, "end": 1593.23, "word": " اتنين", "probability": 0.974609375}, {"start": 1593.23, "end": 1593.67, "word": " X", "probability": 0.99658203125}, {"start": 1593.67, "end": 1594.19, "word": " زي", "probability": 0.981201171875}, {"start": 1594.19, "end": 1594.39, "word": " ما", "probability": 0.939453125}, {"start": 1594.39, "end": 1594.65, "word": " هي", "probability": 0.6455078125}, {"start": 1594.65, "end": 1594.85, "word": " في", "probability": 0.88134765625}, {"start": 1594.85, "end": 1595.33, "word": " اتنين", "probability": 0.833251953125}], "temperature": 1.0}, {"id": 70, "seek": 162448, "start": 1596.54, "end": 1624.48, "text": "اللي عملته للدل اللى فوق بيتروح تعمل لمن؟ للدل اللى تحت بس بإشارة سالب يبقى ناقص لان E أس أربعة جذر ال X في مشتقة ال X بننشل بال X بننشل نفسها ضرب مشتقة الأس أربعة وجذر ال X مشتقة واحد على اتنين جذر ال X", "tokens": [6027, 20292, 6225, 42213, 47395, 24976, 3215, 1211, 13672, 7578, 6156, 30543, 4724, 36081, 32887, 5016, 6055, 25957, 1211, 5296, 27842, 22807, 24976, 3215, 1211, 13672, 7578, 6055, 33753, 4724, 3794, 4724, 28814, 8592, 9640, 3660, 8608, 6027, 3555, 7251, 3555, 4587, 7578, 8717, 995, 4587, 9381, 5296, 7649, 462, 5551, 3794, 5551, 25513, 27884, 10874, 8848, 2288, 2423, 1783, 8978, 37893, 2655, 28671, 2423, 1783, 44945, 1863, 8592, 1211, 20666, 1783, 44945, 1863, 8592, 1211, 8717, 36178, 11296, 48812, 25513, 37893, 2655, 28671, 16247, 3794, 5551, 25513, 27884, 49610, 8848, 2288, 2423, 1783, 37893, 2655, 28671, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 10874, 8848, 2288, 2423, 1783], "avg_logprob": -0.19730113595724105, "compression_ratio": 1.9505494505494505, "no_speech_prob": 0.0, "words": [{"start": 1596.54, "end": 1596.9, "word": "اللي", "probability": 0.3416748046875}, {"start": 1596.9, "end": 1597.44, "word": " عملته", "probability": 0.8728841145833334}, {"start": 1597.44, "end": 1597.86, "word": " للدل", "probability": 0.6150716145833334}, {"start": 1597.86, "end": 1597.98, "word": " اللى", "probability": 0.698486328125}, {"start": 1597.98, "end": 1598.3, "word": " فوق", "probability": 0.940185546875}, {"start": 1598.3, "end": 1598.8, "word": " بيتروح", "probability": 0.621124267578125}, {"start": 1598.8, "end": 1599.14, "word": " تعمل", "probability": 0.5975748697916666}, {"start": 1599.14, "end": 1599.94, "word": " لمن؟", "probability": 0.6954752604166666}, {"start": 1599.94, "end": 1601.0, "word": " للدل", "probability": 0.93408203125}, {"start": 1601.0, "end": 1601.3, "word": " اللى", "probability": 0.977783203125}, {"start": 1601.3, "end": 1601.7, "word": " تحت", "probability": 0.97412109375}, {"start": 1601.7, "end": 1602.36, "word": " بس", "probability": 0.747802734375}, {"start": 1602.36, "end": 1603.1, "word": " بإشارة", "probability": 0.87626953125}, {"start": 1603.1, "end": 1603.56, "word": " سالب", "probability": 0.8238932291666666}, {"start": 1603.56, "end": 1604.1, "word": " يبقى", "probability": 0.9649658203125}, {"start": 1604.1, "end": 1604.88, "word": " ناقص", "probability": 0.951171875}, {"start": 1604.88, "end": 1605.7, "word": " لان", "probability": 0.5888671875}, {"start": 1605.7, "end": 1606.46, "word": " E", "probability": 0.299560546875}, {"start": 1606.46, "end": 1607.02, "word": " أس", "probability": 0.5428466796875}, {"start": 1607.02, "end": 1607.9, "word": " أربعة", "probability": 0.779296875}, {"start": 1607.9, "end": 1608.72, "word": " جذر", "probability": 0.9026692708333334}, {"start": 1608.72, "end": 1609.0, "word": " ال", "probability": 0.8798828125}, {"start": 1609.0, "end": 1609.36, "word": " X", "probability": 0.85302734375}, {"start": 1609.36, "end": 1610.04, "word": " في", "probability": 0.76220703125}, {"start": 1610.04, "end": 1610.82, "word": " مشتقة", "probability": 0.9051106770833334}, {"start": 1610.82, "end": 1611.08, "word": " ال", "probability": 0.951171875}, {"start": 1611.08, "end": 1611.32, "word": " X", "probability": 0.95751953125}, {"start": 1611.32, "end": 1612.16, "word": " بننشل", "probability": 0.8818359375}, {"start": 1612.16, "end": 1612.42, "word": " بال", "probability": 0.97119140625}, {"start": 1612.42, "end": 1612.86, "word": " X", "probability": 0.716796875}, {"start": 1612.86, "end": 1613.74, "word": " بننشل", "probability": 0.938232421875}, {"start": 1613.74, "end": 1614.58, "word": " نفسها", "probability": 0.9938151041666666}, {"start": 1614.58, "end": 1615.34, "word": " ضرب", "probability": 0.9794921875}, {"start": 1615.34, "end": 1616.24, "word": " مشتقة", "probability": 0.9827473958333334}, {"start": 1616.24, "end": 1616.88, "word": " الأس", "probability": 0.887451171875}, {"start": 1616.88, "end": 1618.06, "word": " أربعة", "probability": 0.9275716145833334}, {"start": 1618.06, "end": 1619.0, "word": " وجذر", "probability": 0.9254557291666666}, {"start": 1619.0, "end": 1619.24, "word": " ال", "probability": 0.8828125}, {"start": 1619.24, "end": 1619.66, "word": " X", "probability": 0.99560546875}, {"start": 1619.66, "end": 1620.6, "word": " مشتقة", "probability": 0.9490559895833334}, {"start": 1620.6, "end": 1621.38, "word": " واحد", "probability": 0.974853515625}, {"start": 1621.38, "end": 1622.06, "word": " على", "probability": 0.76806640625}, {"start": 1622.06, "end": 1622.96, "word": " اتنين", "probability": 0.9542236328125}, {"start": 1622.96, "end": 1623.68, "word": " جذر", "probability": 0.9967447916666666}, {"start": 1623.68, "end": 1624.0, "word": " ال", "probability": 0.97509765625}, {"start": 1624.0, "end": 1624.48, "word": " X", "probability": 0.994140625}], "temperature": 1.0}, {"id": 71, "seek": 164484, "start": 1625.58, "end": 1644.84, "text": "نبسطها يبدو ايه؟ Prime تساوي اتنين X في لن ال E لن ال E بقدرش؟ بواحد بصير عندك اتنين X في اتنين في A أس اتنين X هذا ال term اللي هو", "tokens": [1863, 3555, 3794, 9566, 11296, 7251, 44510, 2407, 1975, 1829, 3224, 22807, 9655, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 1783, 8978, 5296, 1863, 2423, 462, 5296, 1863, 2423, 462, 4724, 28543, 2288, 8592, 22807, 4724, 14407, 24401, 4724, 9381, 13546, 43242, 4117, 1975, 2655, 1863, 9957, 1783, 8978, 1975, 2655, 1863, 9957, 8978, 316, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 23758, 2423, 1433, 13672, 1829, 31439], "avg_logprob": -0.3020089336803981, "compression_ratio": 1.5319148936170213, "no_speech_prob": 0.0, "words": [{"start": 1625.58, "end": 1626.52, "word": "نبسطها", "probability": 0.786181640625}, {"start": 1626.52, "end": 1627.0, "word": " يبدو", "probability": 0.5309244791666666}, {"start": 1627.0, "end": 1627.36, "word": " ايه؟", "probability": 0.6087646484375}, {"start": 1627.36, "end": 1627.84, "word": " Prime", "probability": 0.1138916015625}, {"start": 1627.84, "end": 1628.66, "word": " تساوي", "probability": 0.847900390625}, {"start": 1628.66, "end": 1630.26, "word": " اتنين", "probability": 0.84063720703125}, {"start": 1630.26, "end": 1630.8, "word": " X", "probability": 0.548828125}, {"start": 1630.8, "end": 1631.16, "word": " في", "probability": 0.7275390625}, {"start": 1631.16, "end": 1631.64, "word": " لن", "probability": 0.846435546875}, {"start": 1631.64, "end": 1632.0, "word": " ال", "probability": 0.60205078125}, {"start": 1632.0, "end": 1632.4, "word": " E", "probability": 0.65234375}, {"start": 1632.4, "end": 1633.1, "word": " لن", "probability": 0.873291015625}, {"start": 1633.1, "end": 1633.26, "word": " ال", "probability": 0.94970703125}, {"start": 1633.26, "end": 1633.4, "word": " E", "probability": 0.9912109375}, {"start": 1633.4, "end": 1634.42, "word": " بقدرش؟", "probability": 0.70087890625}, {"start": 1634.42, "end": 1635.02, "word": " بواحد", "probability": 0.8463541666666666}, {"start": 1635.02, "end": 1635.96, "word": " بصير", "probability": 0.605224609375}, {"start": 1635.96, "end": 1636.56, "word": " عندك", "probability": 0.98681640625}, {"start": 1636.56, "end": 1637.34, "word": " اتنين", "probability": 0.973876953125}, {"start": 1637.34, "end": 1637.82, "word": " X", "probability": 0.98828125}, {"start": 1637.82, "end": 1638.52, "word": " في", "probability": 0.83642578125}, {"start": 1638.52, "end": 1639.76, "word": " اتنين", "probability": 0.9632568359375}, {"start": 1639.76, "end": 1640.24, "word": " في", "probability": 0.7822265625}, {"start": 1640.24, "end": 1640.76, "word": " A", "probability": 0.5576171875}, {"start": 1640.76, "end": 1641.34, "word": " أس", "probability": 0.4443359375}, {"start": 1641.34, "end": 1642.48, "word": " اتنين", "probability": 0.9727783203125}, {"start": 1642.48, "end": 1642.9, "word": " X", "probability": 0.99462890625}, {"start": 1642.9, "end": 1643.78, "word": " هذا", "probability": 0.77685546875}, {"start": 1643.78, "end": 1644.02, "word": " ال", "probability": 0.8603515625}, {"start": 1644.02, "end": 1644.46, "word": " term", "probability": 0.837890625}, {"start": 1644.46, "end": 1644.66, "word": " اللي", "probability": 0.703369140625}, {"start": 1644.66, "end": 1644.84, "word": " هو", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 72, "seek": 166633, "start": 1645.55, "end": 1666.33, "text": "الterm التاني يبقى ناقص أربعة جذر ال X في لن ال E اللي هو بواحد مع السلمة في من في E أس أربعة جذر ال X على من في اتنين على جذر ال X", "tokens": [6027, 7039, 16712, 7649, 1829, 7251, 3555, 4587, 7578, 8717, 995, 4587, 9381, 5551, 25513, 27884, 10874, 8848, 2288, 2423, 1783, 8978, 5296, 1863, 2423, 462, 13672, 1829, 31439, 4724, 14407, 24401, 20449, 21136, 19528, 3660, 8978, 9154, 8978, 462, 5551, 3794, 5551, 25513, 27884, 10874, 8848, 2288, 2423, 1783, 15844, 9154, 8978, 1975, 2655, 1863, 9957, 15844, 10874, 8848, 2288, 2423, 1783], "avg_logprob": -0.20471191057004035, "compression_ratio": 1.6176470588235294, "no_speech_prob": 0.0, "words": [{"start": 1645.55, "end": 1646.19, "word": "الterm", "probability": 0.5810546875}, {"start": 1646.19, "end": 1646.99, "word": " التاني", "probability": 0.9396158854166666}, {"start": 1646.99, "end": 1648.03, "word": " يبقى", "probability": 0.97900390625}, {"start": 1648.03, "end": 1648.73, "word": " ناقص", "probability": 0.958740234375}, {"start": 1648.73, "end": 1649.71, "word": " أربعة", "probability": 0.7080891927083334}, {"start": 1649.71, "end": 1650.51, "word": " جذر", "probability": 0.96728515625}, {"start": 1650.51, "end": 1650.77, "word": " ال", "probability": 0.865234375}, {"start": 1650.77, "end": 1651.25, "word": " X", "probability": 0.5107421875}, {"start": 1651.25, "end": 1651.89, "word": " في", "probability": 0.81689453125}, {"start": 1651.89, "end": 1652.31, "word": " لن", "probability": 0.8515625}, {"start": 1652.31, "end": 1652.57, "word": " ال", "probability": 0.82861328125}, {"start": 1652.57, "end": 1652.85, "word": " E", "probability": 0.61865234375}, {"start": 1652.85, "end": 1653.05, "word": " اللي", "probability": 0.74462890625}, {"start": 1653.05, "end": 1653.19, "word": " هو", "probability": 0.970703125}, {"start": 1653.19, "end": 1653.89, "word": " بواحد", "probability": 0.8525390625}, {"start": 1653.89, "end": 1654.25, "word": " مع", "probability": 0.66162109375}, {"start": 1654.25, "end": 1655.15, "word": " السلمة", "probability": 0.7236328125}, {"start": 1655.15, "end": 1655.73, "word": " في", "probability": 0.65478515625}, {"start": 1655.73, "end": 1656.05, "word": " من", "probability": 0.3154296875}, {"start": 1656.05, "end": 1656.75, "word": " في", "probability": 0.5966796875}, {"start": 1656.75, "end": 1657.17, "word": " E", "probability": 0.71484375}, {"start": 1657.17, "end": 1657.65, "word": " أس", "probability": 0.76025390625}, {"start": 1657.65, "end": 1658.47, "word": " أربعة", "probability": 0.8644205729166666}, {"start": 1658.47, "end": 1659.27, "word": " جذر", "probability": 0.9947916666666666}, {"start": 1659.27, "end": 1659.57, "word": " ال", "probability": 0.91552734375}, {"start": 1659.57, "end": 1660.09, "word": " X", "probability": 0.98779296875}, {"start": 1660.09, "end": 1661.01, "word": " على", "probability": 0.72900390625}, {"start": 1661.01, "end": 1661.55, "word": " من", "probability": 0.92041015625}, {"start": 1661.55, "end": 1662.81, "word": " في", "probability": 0.91748046875}, {"start": 1662.81, "end": 1664.59, "word": " اتنين", "probability": 0.875732421875}, {"start": 1664.59, "end": 1665.25, "word": " على", "probability": 0.7998046875}, {"start": 1665.25, "end": 1665.89, "word": " جذر", "probability": 0.9943033854166666}, {"start": 1665.89, "end": 1666.05, "word": " ال", "probability": 0.95849609375}, {"start": 1666.05, "end": 1666.33, "word": " X", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 73, "seek": 169450, "start": 1666.74, "end": 1694.5, "text": "اختصرنا الاتنين مع الأربعة بضل اتنين على جدر ال X لا يزال في اختصارات جدر ال X مع جدر ال X مع السلامة يبقى بده يصير عندنا اربعة X في E أس اتنين X E أس اتنين X و هنا ناقص تمانية E أس اربعة جدر ال X", "tokens": [47283, 2655, 9381, 2288, 8315, 2423, 9307, 1863, 9957, 20449, 16247, 25513, 27884, 4724, 11242, 1211, 1975, 2655, 1863, 9957, 15844, 10874, 3215, 2288, 2423, 1783, 20193, 7251, 11622, 6027, 8978, 1975, 46456, 9381, 9640, 9307, 10874, 3215, 2288, 2423, 1783, 20449, 10874, 3215, 2288, 2423, 1783, 20449, 21136, 37440, 3660, 7251, 3555, 4587, 7578, 47525, 3224, 7251, 9381, 13546, 43242, 8315, 1975, 25513, 27884, 1783, 8978, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 4032, 34105, 8717, 995, 4587, 9381, 46811, 7649, 10632, 462, 5551, 3794, 1975, 25513, 27884, 10874, 3215, 2288, 2423, 1783], "avg_logprob": -0.19786658195348886, "compression_ratio": 2.042682926829268, "no_speech_prob": 0.0, "words": [{"start": 1666.74, "end": 1667.74, "word": "اختصرنا", "probability": 0.7519775390625}, {"start": 1667.74, "end": 1668.3, "word": " الاتنين", "probability": 0.76202392578125}, {"start": 1668.3, "end": 1668.48, "word": " مع", "probability": 0.91015625}, {"start": 1668.48, "end": 1668.96, "word": " الأربعة", "probability": 0.8444010416666666}, {"start": 1668.96, "end": 1669.34, "word": " بضل", "probability": 0.4507649739583333}, {"start": 1669.34, "end": 1669.76, "word": " اتنين", "probability": 0.952392578125}, {"start": 1669.76, "end": 1669.98, "word": " على", "probability": 0.84130859375}, {"start": 1669.98, "end": 1670.3, "word": " جدر", "probability": 0.7134602864583334}, {"start": 1670.3, "end": 1670.42, "word": " ال", "probability": 0.51318359375}, {"start": 1670.42, "end": 1670.62, "word": " X", "probability": 0.76513671875}, {"start": 1670.62, "end": 1671.3, "word": " لا", "probability": 0.37939453125}, {"start": 1671.3, "end": 1671.96, "word": " يزال", "probability": 0.9677734375}, {"start": 1671.96, "end": 1672.18, "word": " في", "probability": 0.81640625}, {"start": 1672.18, "end": 1673.3, "word": " اختصارات", "probability": 0.9611328125}, {"start": 1673.3, "end": 1674.14, "word": " جدر", "probability": 0.837890625}, {"start": 1674.14, "end": 1674.34, "word": " ال", "probability": 0.93896484375}, {"start": 1674.34, "end": 1674.72, "word": " X", "probability": 0.97705078125}, {"start": 1674.72, "end": 1675.3, "word": " مع", "probability": 0.9736328125}, {"start": 1675.3, "end": 1675.74, "word": " جدر", "probability": 0.9853515625}, {"start": 1675.74, "end": 1675.88, "word": " ال", "probability": 0.9580078125}, {"start": 1675.88, "end": 1676.08, "word": " X", "probability": 0.98828125}, {"start": 1676.08, "end": 1676.36, "word": " مع", "probability": 0.9609375}, {"start": 1676.36, "end": 1677.14, "word": " السلامة", "probability": 0.9287109375}, {"start": 1677.14, "end": 1677.84, "word": " يبقى", "probability": 0.9541015625}, {"start": 1677.84, "end": 1678.22, "word": " بده", "probability": 0.4647216796875}, {"start": 1678.22, "end": 1678.54, "word": " يصير", "probability": 0.9303385416666666}, {"start": 1678.54, "end": 1679.46, "word": " عندنا", "probability": 0.78466796875}, {"start": 1679.46, "end": 1680.4, "word": " اربعة", "probability": 0.6583658854166666}, {"start": 1680.4, "end": 1681.0, "word": " X", "probability": 0.79833984375}, {"start": 1681.0, "end": 1681.86, "word": " في", "probability": 0.9013671875}, {"start": 1681.86, "end": 1682.26, "word": " E", "probability": 0.72314453125}, {"start": 1682.26, "end": 1682.8, "word": " أس", "probability": 0.5089111328125}, {"start": 1682.8, "end": 1683.76, "word": " اتنين", "probability": 0.981689453125}, {"start": 1683.76, "end": 1684.38, "word": " X", "probability": 0.9892578125}, {"start": 1684.38, "end": 1685.32, "word": " E", "probability": 0.865234375}, {"start": 1685.32, "end": 1685.8, "word": " أس", "probability": 0.938232421875}, {"start": 1685.8, "end": 1686.46, "word": " اتنين", "probability": 0.9837646484375}, {"start": 1686.46, "end": 1686.92, "word": " X", "probability": 0.9951171875}, {"start": 1686.92, "end": 1687.56, "word": " و", "probability": 0.48388671875}, {"start": 1687.56, "end": 1687.94, "word": " هنا", "probability": 0.82373046875}, {"start": 1687.94, "end": 1689.0, "word": " ناقص", "probability": 0.9852294921875}, {"start": 1689.0, "end": 1690.74, "word": " تمانية", "probability": 0.8951822916666666}, {"start": 1690.74, "end": 1691.64, "word": " E", "probability": 0.94921875}, {"start": 1691.64, "end": 1692.36, "word": " أس", "probability": 0.952392578125}, {"start": 1692.36, "end": 1693.16, "word": " اربعة", "probability": 0.8064778645833334}, {"start": 1693.16, "end": 1693.8, "word": " جدر", "probability": 0.9943033854166666}, {"start": 1693.8, "end": 1694.06, "word": " ال", "probability": 0.97119140625}, {"start": 1694.06, "end": 1694.5, "word": " X", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 74, "seek": 172687, "start": 1718.71, "end": 1726.87, "text": "حابل ويتساول هنا قال بس يسأل يرفع يده فوق اه", "tokens": [5016, 16758, 1211, 4032, 36081, 3794, 995, 12610, 34105, 50239, 4724, 3794, 7251, 3794, 10721, 1211, 7251, 28480, 3615, 7251, 3215, 3224, 6156, 30543, 1975, 3224], "avg_logprob": -0.5251736199414289, "compression_ratio": 1.0972222222222223, "no_speech_prob": 0.0, "words": [{"start": 1718.71, "end": 1719.71, "word": "حابل", "probability": 0.44775390625}, {"start": 1719.71, "end": 1720.35, "word": " ويتساول", "probability": 0.8201171875}, {"start": 1720.35, "end": 1720.75, "word": " هنا", "probability": 0.44873046875}, {"start": 1720.75, "end": 1723.57, "word": " قال", "probability": 0.2392578125}, {"start": 1723.57, "end": 1723.99, "word": " بس", "probability": 0.81494140625}, {"start": 1723.99, "end": 1724.43, "word": " يسأل", "probability": 0.5479736328125}, {"start": 1724.43, "end": 1724.73, "word": " يرفع", "probability": 0.57080078125}, {"start": 1724.73, "end": 1724.93, "word": " يده", "probability": 0.7068684895833334}, {"start": 1724.93, "end": 1725.49, "word": " فوق", "probability": 0.932861328125}, {"start": 1725.49, "end": 1726.87, "word": " اه", "probability": 0.78564453125}], "temperature": 1.0}, {"id": 75, "seek": 175691, "start": 1728.49, "end": 1756.91, "text": "ولا واحد اللي بيعده يبقى السؤال عشرة Y تساوي log للأساس اتنين لل sign X على تلاتة كل هذا الكلام الكل تكيب", "tokens": [12610, 995, 36764, 24401, 13672, 1829, 4724, 1829, 22488, 3224, 7251, 3555, 4587, 7578, 21136, 33604, 6027, 6225, 8592, 25720, 398, 6055, 3794, 995, 45865, 3565, 24976, 10721, 3794, 32277, 1975, 2655, 1863, 9957, 24976, 1465, 1783, 15844, 6055, 1211, 9307, 3660, 28242, 23758, 2423, 28820, 10943, 2423, 28820, 6055, 4117, 1829, 3555], "avg_logprob": -0.17853008679769658, "compression_ratio": 1.3636363636363635, "no_speech_prob": 0.0, "words": [{"start": 1728.49, "end": 1728.85, "word": "ولا", "probability": 0.900634765625}, {"start": 1728.85, "end": 1729.31, "word": " واحد", "probability": 0.9912109375}, {"start": 1729.31, "end": 1730.59, "word": " اللي", "probability": 0.583740234375}, {"start": 1730.59, "end": 1731.25, "word": " بيعده", "probability": 0.7059326171875}, {"start": 1731.25, "end": 1736.57, "word": " يبقى", "probability": 0.880615234375}, {"start": 1736.57, "end": 1737.21, "word": " السؤال", "probability": 0.8566080729166666}, {"start": 1737.21, "end": 1738.03, "word": " عشرة", "probability": 0.880859375}, {"start": 1738.03, "end": 1741.89, "word": " Y", "probability": 0.369873046875}, {"start": 1741.89, "end": 1742.89, "word": " تساوي", "probability": 0.947998046875}, {"start": 1742.89, "end": 1745.03, "word": " log", "probability": 0.70263671875}, {"start": 1745.03, "end": 1747.21, "word": " للأساس", "probability": 0.9481201171875}, {"start": 1747.21, "end": 1748.09, "word": " اتنين", "probability": 0.9459228515625}, {"start": 1748.09, "end": 1749.13, "word": " لل", "probability": 0.677734375}, {"start": 1749.13, "end": 1749.87, "word": " sign", "probability": 0.64013671875}, {"start": 1749.87, "end": 1751.19, "word": " X", "probability": 0.8037109375}, {"start": 1751.19, "end": 1751.75, "word": " على", "probability": 0.72998046875}, {"start": 1751.75, "end": 1753.01, "word": " تلاتة", "probability": 0.9200439453125}, {"start": 1753.01, "end": 1753.91, "word": " كل", "probability": 0.89892578125}, {"start": 1753.91, "end": 1754.41, "word": " هذا", "probability": 0.974609375}, {"start": 1754.41, "end": 1755.17, "word": " الكلام", "probability": 0.9625651041666666}, {"start": 1755.17, "end": 1755.85, "word": " الكل", "probability": 0.8212890625}, {"start": 1755.85, "end": 1756.91, "word": " تكيب", "probability": 0.8929443359375}], "temperature": 1.0}, {"id": 76, "seek": 177057, "start": 1766.49, "end": 1770.57, "text": "أبقى هنا مافيش تبصير، بدنا نشتق مباشرة", "tokens": [10721, 3555, 4587, 7578, 34105, 19446, 41185, 8592, 6055, 3555, 9381, 13546, 12399, 47525, 8315, 8717, 8592, 2655, 4587, 3714, 3555, 33599, 25720], "avg_logprob": -0.3339843774835269, "compression_ratio": 1.0294117647058822, "no_speech_prob": 0.0, "words": [{"start": 1766.49, "end": 1766.91, "word": "أبقى", "probability": 0.5462799072265625}, {"start": 1766.91, "end": 1767.03, "word": " هنا", "probability": 0.76611328125}, {"start": 1767.03, "end": 1767.31, "word": " مافيش", "probability": 0.8209635416666666}, {"start": 1767.31, "end": 1768.49, "word": " تبصير،", "probability": 0.786279296875}, {"start": 1768.49, "end": 1768.79, "word": " بدنا", "probability": 0.906494140625}, {"start": 1768.79, "end": 1769.37, "word": " نشتق", "probability": 0.9105224609375}, {"start": 1769.37, "end": 1770.57, "word": " مباشرة", "probability": 0.9923095703125}], "temperature": 1.0}, {"id": 77, "seek": 180050, "start": 1782.54, "end": 1800.5, "text": "يبقى هذا قوس مرفوه لأس. نقول الأس في القوس مرفوه لنفس الأس، مطروح من واحد في مشتقة ما داخل القاس. يبقى واحد crime تساوي هذا الأس و هذا القوس.", "tokens": [1829, 3555, 4587, 7578, 23758, 12174, 41779, 3714, 28480, 2407, 3224, 5296, 10721, 3794, 13, 8717, 39648, 16247, 3794, 8978, 25062, 41779, 3714, 28480, 2407, 3224, 5296, 1863, 36178, 16247, 3794, 12399, 3714, 9566, 32887, 5016, 9154, 36764, 24401, 8978, 37893, 2655, 28671, 19446, 11778, 47283, 1211, 25062, 32277, 13, 7251, 3555, 4587, 7578, 36764, 24401, 7206, 6055, 3794, 995, 45865, 23758, 16247, 3794, 4032, 23758, 25062, 41779, 13], "avg_logprob": -0.25982144006661007, "compression_ratio": 1.7202797202797202, "no_speech_prob": 0.0, "words": [{"start": 1782.54, "end": 1783.18, "word": "يبقى", "probability": 0.941162109375}, {"start": 1783.18, "end": 1783.58, "word": " هذا", "probability": 0.93115234375}, {"start": 1783.58, "end": 1784.2, "word": " قوس", "probability": 0.728759765625}, {"start": 1784.2, "end": 1785.28, "word": " مرفوه", "probability": 0.7047119140625}, {"start": 1785.28, "end": 1785.8, "word": " لأس.", "probability": 0.7251790364583334}, {"start": 1786.24, "end": 1786.9, "word": " نقول", "probability": 0.7191162109375}, {"start": 1786.9, "end": 1787.52, "word": " الأس", "probability": 0.82421875}, {"start": 1787.52, "end": 1788.24, "word": " في", "probability": 0.8291015625}, {"start": 1788.24, "end": 1788.8, "word": " القوس", "probability": 0.927490234375}, {"start": 1788.8, "end": 1789.36, "word": " مرفوه", "probability": 0.9735107421875}, {"start": 1789.36, "end": 1789.7, "word": " لنفس", "probability": 0.9742838541666666}, {"start": 1789.7, "end": 1790.1, "word": " الأس،", "probability": 0.7039388020833334}, {"start": 1790.1, "end": 1790.5, "word": " مطروح", "probability": 0.8504638671875}, {"start": 1790.5, "end": 1790.66, "word": " من", "probability": 0.96337890625}, {"start": 1790.66, "end": 1791.24, "word": " واحد", "probability": 0.956787109375}, {"start": 1791.24, "end": 1791.7, "word": " في", "probability": 0.71728515625}, {"start": 1791.7, "end": 1792.5, "word": " مشتقة", "probability": 0.7228190104166666}, {"start": 1792.5, "end": 1793.2, "word": " ما", "probability": 0.47705078125}, {"start": 1793.2, "end": 1793.88, "word": " داخل", "probability": 0.9638671875}, {"start": 1793.88, "end": 1794.44, "word": " القاس.", "probability": 0.704833984375}, {"start": 1794.94, "end": 1795.5, "word": " يبقى", "probability": 0.988525390625}, {"start": 1795.5, "end": 1795.88, "word": " واحد", "probability": 0.3135986328125}, {"start": 1795.88, "end": 1796.46, "word": " crime", "probability": 0.2054443359375}, {"start": 1796.46, "end": 1797.28, "word": " تساوي", "probability": 0.9697265625}, {"start": 1797.28, "end": 1797.92, "word": " هذا", "probability": 0.5986328125}, {"start": 1797.92, "end": 1798.44, "word": " الأس", "probability": 0.82470703125}, {"start": 1798.44, "end": 1799.2, "word": " و", "probability": 0.66552734375}, {"start": 1799.2, "end": 1799.68, "word": " هذا", "probability": 0.68505859375}, {"start": 1799.68, "end": 1800.5, "word": " القوس.", "probability": 0.981689453125}], "temperature": 1.0}, {"id": 78, "seek": 182940, "start": 1804.48, "end": 1829.4, "text": "مرفوعة لنفس القص مطروح من الواحد يبقى صار تربية في مشتقة مداخل القوس مداخل القوس اللي هو واحد على هذا ال log ال U للأساس اتنين يبقى واحد على U في ال N اتنين في DU على DX يبقى واحد على sign X على تلاتة", "tokens": [2304, 28480, 2407, 27884, 5296, 1863, 36178, 25062, 9381, 3714, 9566, 32887, 5016, 9154, 2423, 14407, 24401, 7251, 3555, 4587, 7578, 20328, 9640, 6055, 25513, 10632, 8978, 37893, 2655, 28671, 3714, 3215, 47283, 1211, 25062, 41779, 3714, 3215, 47283, 1211, 25062, 41779, 13672, 1829, 31439, 36764, 24401, 15844, 23758, 2423, 3565, 2423, 624, 24976, 10721, 3794, 32277, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 624, 8978, 2423, 426, 1975, 2655, 1863, 9957, 8978, 28423, 15844, 48817, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 1465, 1783, 15844, 6055, 1211, 9307, 3660], "avg_logprob": -0.19884868170085707, "compression_ratio": 1.8944444444444444, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1804.48, "end": 1805.46, "word": "مرفوعة", "probability": 0.717071533203125}, {"start": 1805.46, "end": 1806.14, "word": " لنفس", "probability": 0.9099934895833334}, {"start": 1806.14, "end": 1806.52, "word": " القص", "probability": 0.390625}, {"start": 1806.52, "end": 1807.12, "word": " مطروح", "probability": 0.79541015625}, {"start": 1807.12, "end": 1807.26, "word": " من", "probability": 0.88330078125}, {"start": 1807.26, "end": 1807.66, "word": " الواحد", "probability": 0.8870442708333334}, {"start": 1807.66, "end": 1807.88, "word": " يبقى", "probability": 0.9105224609375}, {"start": 1807.88, "end": 1808.3, "word": " صار", "probability": 0.654541015625}, {"start": 1808.3, "end": 1808.94, "word": " تربية", "probability": 0.7431640625}, {"start": 1808.94, "end": 1809.56, "word": " في", "probability": 0.81787109375}, {"start": 1809.56, "end": 1810.38, "word": " مشتقة", "probability": 0.8146158854166666}, {"start": 1810.38, "end": 1811.34, "word": " مداخل", "probability": 0.9124755859375}, {"start": 1811.34, "end": 1811.88, "word": " القوس", "probability": 0.86962890625}, {"start": 1811.88, "end": 1812.96, "word": " مداخل", "probability": 0.8616943359375}, {"start": 1812.96, "end": 1813.46, "word": " القوس", "probability": 0.9814453125}, {"start": 1813.46, "end": 1813.68, "word": " اللي", "probability": 0.74853515625}, {"start": 1813.68, "end": 1814.02, "word": " هو", "probability": 0.98486328125}, {"start": 1814.02, "end": 1814.8, "word": " واحد", "probability": 0.80224609375}, {"start": 1814.8, "end": 1815.16, "word": " على", "probability": 0.8857421875}, {"start": 1815.16, "end": 1816.1, "word": " هذا", "probability": 0.9140625}, {"start": 1816.1, "end": 1816.34, "word": " ال", "probability": 0.79248046875}, {"start": 1816.34, "end": 1816.68, "word": " log", "probability": 0.5078125}, {"start": 1816.68, "end": 1816.96, "word": " ال", "probability": 0.71484375}, {"start": 1816.96, "end": 1817.14, "word": " U", "probability": 0.65234375}, {"start": 1817.14, "end": 1818.02, "word": " للأساس", "probability": 0.9122314453125}, {"start": 1818.02, "end": 1818.6, "word": " اتنين", "probability": 0.917724609375}, {"start": 1818.6, "end": 1819.32, "word": " يبقى", "probability": 0.986328125}, {"start": 1819.32, "end": 1819.72, "word": " واحد", "probability": 0.979248046875}, {"start": 1819.72, "end": 1820.0, "word": " على", "probability": 0.90625}, {"start": 1820.0, "end": 1820.3, "word": " U", "probability": 0.91162109375}, {"start": 1820.3, "end": 1820.56, "word": " في", "probability": 0.70166015625}, {"start": 1820.56, "end": 1820.68, "word": " ال", "probability": 0.71533203125}, {"start": 1820.68, "end": 1820.82, "word": " N", "probability": 0.6875}, {"start": 1820.82, "end": 1821.32, "word": " اتنين", "probability": 0.9530029296875}, {"start": 1821.32, "end": 1821.48, "word": " في", "probability": 0.92236328125}, {"start": 1821.48, "end": 1821.9, "word": " DU", "probability": 0.57275390625}, {"start": 1821.9, "end": 1822.84, "word": " على", "probability": 0.88720703125}, {"start": 1822.84, "end": 1823.26, "word": " DX", "probability": 0.98583984375}, {"start": 1823.26, "end": 1824.16, "word": " يبقى", "probability": 0.9869384765625}, {"start": 1824.16, "end": 1824.78, "word": " واحد", "probability": 0.9873046875}, {"start": 1824.78, "end": 1825.72, "word": " على", "probability": 0.90869140625}, {"start": 1825.72, "end": 1826.48, "word": " sign", "probability": 0.1871337890625}, {"start": 1826.48, "end": 1827.2, "word": " X", "probability": 0.94775390625}, {"start": 1827.2, "end": 1828.26, "word": " على", "probability": 0.89697265625}, {"start": 1828.26, "end": 1829.4, "word": " تلاتة", "probability": 0.921630859375}], "temperature": 1.0}, {"id": 79, "seek": 185816, "start": 1829.72, "end": 1858.16, "text": "فى الـ N اتنين فى مشتقة من الـ sine اللى هو كو صين X على تلاتة ضرب مشتقة الزمن اللى يبقى تلت طبعا تلت مع تلاتة الله يسهل عليها يبقى صارت المسألة log للأساس اتنين لصين X على تلاتة لكل تربية", "tokens": [5172, 7578, 2423, 39184, 426, 1975, 2655, 1863, 9957, 6156, 7578, 37893, 2655, 28671, 9154, 2423, 39184, 18609, 13672, 7578, 31439, 9122, 2407, 20328, 9957, 1783, 15844, 6055, 1211, 9307, 3660, 48812, 25513, 37893, 2655, 28671, 6024, 110, 27842, 13672, 7578, 7251, 3555, 4587, 7578, 6055, 1211, 2655, 23032, 3555, 3615, 995, 6055, 1211, 2655, 20449, 6055, 1211, 9307, 3660, 21984, 7251, 3794, 3224, 1211, 25894, 11296, 7251, 3555, 4587, 7578, 20328, 9640, 2655, 9673, 3794, 10721, 37977, 3565, 24976, 10721, 3794, 32277, 1975, 2655, 1863, 9957, 5296, 9381, 9957, 1783, 15844, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632], "avg_logprob": -0.23161764442920685, "compression_ratio": 1.884393063583815, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1829.72, "end": 1830.1, "word": "فى", "probability": 0.482147216796875}, {"start": 1830.1, "end": 1830.24, "word": " الـ", "probability": 0.4661865234375}, {"start": 1830.24, "end": 1830.58, "word": " N", "probability": 0.65869140625}, {"start": 1830.58, "end": 1831.42, "word": " اتنين", "probability": 0.773406982421875}, {"start": 1831.42, "end": 1832.06, "word": " فى", "probability": 0.9365234375}, {"start": 1832.06, "end": 1832.88, "word": " مشتقة", "probability": 0.8513997395833334}, {"start": 1832.88, "end": 1833.44, "word": " من", "probability": 0.48388671875}, {"start": 1833.44, "end": 1834.12, "word": " الـ", "probability": 0.689453125}, {"start": 1834.12, "end": 1834.76, "word": " sine", "probability": 0.346435546875}, {"start": 1834.76, "end": 1835.46, "word": " اللى", "probability": 0.862060546875}, {"start": 1835.46, "end": 1835.7, "word": " هو", "probability": 0.87255859375}, {"start": 1835.7, "end": 1836.2, "word": " كو", "probability": 0.5233154296875}, {"start": 1836.2, "end": 1836.74, "word": " صين", "probability": 0.727783203125}, {"start": 1836.74, "end": 1837.3, "word": " X", "probability": 0.77783203125}, {"start": 1837.3, "end": 1837.86, "word": " على", "probability": 0.708984375}, {"start": 1837.86, "end": 1838.8, "word": " تلاتة", "probability": 0.8795166015625}, {"start": 1838.8, "end": 1839.54, "word": " ضرب", "probability": 0.970458984375}, {"start": 1839.54, "end": 1840.2, "word": " مشتقة", "probability": 0.9757486979166666}, {"start": 1840.2, "end": 1840.64, "word": " الزمن", "probability": 0.7423502604166666}, {"start": 1840.64, "end": 1840.82, "word": " اللى", "probability": 0.929931640625}, {"start": 1840.82, "end": 1841.04, "word": " يبقى", "probability": 0.8697509765625}, {"start": 1841.04, "end": 1841.72, "word": " تلت", "probability": 0.4007975260416667}, {"start": 1841.72, "end": 1844.1, "word": " طبعا", "probability": 0.9532470703125}, {"start": 1844.1, "end": 1845.04, "word": " تلت", "probability": 0.94384765625}, {"start": 1845.04, "end": 1845.76, "word": " مع", "probability": 0.9638671875}, {"start": 1845.76, "end": 1846.42, "word": " تلاتة", "probability": 0.9625244140625}, {"start": 1846.42, "end": 1846.58, "word": " الله", "probability": 0.8505859375}, {"start": 1846.58, "end": 1847.06, "word": " يسهل", "probability": 0.9781494140625}, {"start": 1847.06, "end": 1847.96, "word": " عليها", "probability": 0.986083984375}, {"start": 1847.96, "end": 1848.36, "word": " يبقى", "probability": 0.8466796875}, {"start": 1848.36, "end": 1849.02, "word": " صارت", "probability": 0.7628580729166666}, {"start": 1849.02, "end": 1850.0, "word": " المسألة", "probability": 0.977294921875}, {"start": 1850.0, "end": 1851.3, "word": " log", "probability": 0.7490234375}, {"start": 1851.3, "end": 1852.96, "word": " للأساس", "probability": 0.9132080078125}, {"start": 1852.96, "end": 1853.66, "word": " اتنين", "probability": 0.9100341796875}, {"start": 1853.66, "end": 1855.02, "word": " لصين", "probability": 0.8484700520833334}, {"start": 1855.02, "end": 1855.66, "word": " X", "probability": 0.96240234375}, {"start": 1855.66, "end": 1856.06, "word": " على", "probability": 0.92431640625}, {"start": 1856.06, "end": 1856.86, "word": " تلاتة", "probability": 0.983154296875}, {"start": 1856.86, "end": 1857.44, "word": " لكل", "probability": 0.9111328125}, {"start": 1857.44, "end": 1858.16, "word": " تربية", "probability": 0.8859049479166666}], "temperature": 1.0}, {"id": 80, "seek": 187973, "start": 1869.57, "end": 1879.73, "text": "السؤال الخامس والأخير على هذا ال section بقول evaluate the following", "tokens": [6027, 3794, 33604, 6027, 33962, 10943, 3794, 16070, 10721, 9778, 13546, 15844, 23758, 2423, 3541, 4724, 39648, 13059, 264, 3480], "avg_logprob": -0.32756697563897996, "compression_ratio": 1.0421052631578946, "no_speech_prob": 0.0, "words": [{"start": 1869.57, "end": 1870.97, "word": "السؤال", "probability": 0.75653076171875}, {"start": 1870.97, "end": 1871.75, "word": " الخامس", "probability": 0.9521484375}, {"start": 1871.75, "end": 1872.77, "word": " والأخير", "probability": 0.764892578125}, {"start": 1872.77, "end": 1873.07, "word": " على", "probability": 0.7841796875}, {"start": 1873.07, "end": 1873.61, "word": " هذا", "probability": 0.80517578125}, {"start": 1873.61, "end": 1873.73, "word": " ال", "probability": 0.6201171875}, {"start": 1873.73, "end": 1874.29, "word": " section", "probability": 0.501953125}, {"start": 1874.29, "end": 1875.43, "word": " بقول", "probability": 0.5234375}, {"start": 1875.43, "end": 1876.83, "word": " evaluate", "probability": 0.8408203125}, {"start": 1876.83, "end": 1878.17, "word": " the", "probability": 0.85791015625}, {"start": 1878.17, "end": 1879.73, "word": " following", "probability": 0.88623046875}], "temperature": 1.0}, {"id": 81, "seek": 189218, "start": 1888.26, "end": 1892.18, "text": "أول تكامل من هذه التكاملات", "tokens": [10721, 12610, 6055, 4117, 10943, 1211, 9154, 29538, 16712, 4117, 10943, 1211, 9307], "avg_logprob": -0.2968749978712627, "compression_ratio": 1.0434782608695652, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1888.26, "end": 1889.66, "word": "أول", "probability": 0.536895751953125}, {"start": 1889.66, "end": 1890.4, "word": " تكامل", "probability": 0.9744873046875}, {"start": 1890.4, "end": 1890.6, "word": " من", "probability": 0.9404296875}, {"start": 1890.6, "end": 1890.98, "word": " هذه", "probability": 0.923828125}, {"start": 1890.98, "end": 1892.18, "word": " التكاملات", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 82, "seek": 191306, "start": 1895.26, "end": 1913.06, "text": "من zero لغاية الجدري التربيعي لإن البي لإتنين X E أس X تربية كوصين E أس X تربية في DX", "tokens": [27842, 4018, 5296, 17082, 995, 10632, 25724, 3215, 16572, 16712, 2288, 21292, 3615, 1829, 5296, 28814, 1863, 2423, 21292, 5296, 28814, 2655, 1863, 9957, 1783, 462, 5551, 3794, 1783, 6055, 25513, 10632, 9122, 2407, 9381, 9957, 462, 5551, 3794, 1783, 6055, 25513, 10632, 8978, 48817], "avg_logprob": -0.3430706554132959, "compression_ratio": 1.3725490196078431, "no_speech_prob": 0.0, "words": [{"start": 1895.26, "end": 1895.86, "word": "من", "probability": 0.685546875}, {"start": 1895.86, "end": 1896.7, "word": " zero", "probability": 0.344482421875}, {"start": 1896.7, "end": 1897.88, "word": " لغاية", "probability": 0.96630859375}, {"start": 1897.88, "end": 1898.66, "word": " الجدري", "probability": 0.696533203125}, {"start": 1898.66, "end": 1899.94, "word": " التربيعي", "probability": 0.8548828125}, {"start": 1899.94, "end": 1900.72, "word": " لإن", "probability": 0.84716796875}, {"start": 1900.72, "end": 1901.7, "word": " البي", "probability": 0.4891357421875}, {"start": 1901.7, "end": 1903.82, "word": " لإتنين", "probability": 0.7324951171875}, {"start": 1903.82, "end": 1904.44, "word": " X", "probability": 0.345458984375}, {"start": 1904.44, "end": 1905.06, "word": " E", "probability": 0.66357421875}, {"start": 1905.06, "end": 1905.48, "word": " أس", "probability": 0.5379638671875}, {"start": 1905.48, "end": 1905.9, "word": " X", "probability": 0.98974609375}, {"start": 1905.9, "end": 1906.84, "word": " تربية", "probability": 0.8404947916666666}, {"start": 1906.84, "end": 1908.7, "word": " كوصين", "probability": 0.5570068359375}, {"start": 1908.7, "end": 1909.68, "word": " E", "probability": 0.96435546875}, {"start": 1909.68, "end": 1910.28, "word": " أس", "probability": 0.97607421875}, {"start": 1910.28, "end": 1910.64, "word": " X", "probability": 0.99658203125}, {"start": 1910.64, "end": 1911.74, "word": " تربية", "probability": 0.96826171875}, {"start": 1911.74, "end": 1912.6, "word": " في", "probability": 0.9013671875}, {"start": 1912.6, "end": 1913.06, "word": " DX", "probability": 0.421875}], "temperature": 1.0}, {"id": 83, "seek": 194664, "start": 1921.34, "end": 1946.64, "text": "طبعا اللى بشوف السؤال بالكبير هدا ايه بنخرع لكن هو بسيط جدا ومافيش فيه اي اشكالية من اللى مصعب المثلة او من اللى وضعها مش طبيعي في المثلة ال EO6 تربية احنا بيقول cosine theta cosine X دايما مقولش cosine EO6 تربية اذا هدى بدي اشيلها واحط بدلها اي متغير اخر", "tokens": [9566, 3555, 3615, 995, 13672, 7578, 4724, 8592, 38688, 21136, 33604, 6027, 20666, 4117, 3555, 13546, 8032, 28259, 1975, 1829, 3224, 44945, 34740, 3615, 44381, 31439, 4724, 3794, 1829, 9566, 10874, 28259, 4032, 15042, 41185, 8592, 8978, 3224, 1975, 1829, 1975, 8592, 4117, 6027, 10632, 9154, 13672, 7578, 3714, 9381, 3615, 3555, 9673, 12984, 37977, 1975, 2407, 9154, 13672, 7578, 4032, 11242, 3615, 11296, 37893, 23032, 21292, 3615, 1829, 8978, 9673, 12984, 37977, 2423, 462, 46, 21, 6055, 25513, 10632, 1975, 5016, 8315, 4724, 1829, 39648, 23565, 9725, 23565, 1783, 11778, 47302, 15042, 3714, 39648, 8592, 23565, 462, 46, 21, 6055, 25513, 10632, 1975, 15730, 8032, 3215, 7578, 4724, 16254, 1975, 8592, 26895, 11296, 4032, 39319, 9566, 47525, 1211, 11296, 1975, 1829, 44650, 17082, 13546, 1975, 34740], "avg_logprob": -0.27099608280695975, "compression_ratio": 1.8067226890756303, "no_speech_prob": 0.0, "words": [{"start": 1921.34, "end": 1921.76, "word": "طبعا", "probability": 0.8427734375}, {"start": 1921.76, "end": 1921.86, "word": " اللى", "probability": 0.3651123046875}, {"start": 1921.86, "end": 1922.24, "word": " بشوف", "probability": 0.8396809895833334}, {"start": 1922.24, "end": 1922.76, "word": " السؤال", "probability": 0.9051106770833334}, {"start": 1922.76, "end": 1923.36, "word": " بالكبير", "probability": 0.81378173828125}, {"start": 1923.36, "end": 1923.66, "word": " هدا", "probability": 0.3963623046875}, {"start": 1923.66, "end": 1923.84, "word": " ايه", "probability": 0.7561848958333334}, {"start": 1923.84, "end": 1924.54, "word": " بنخرع", "probability": 0.5254720052083334}, {"start": 1924.54, "end": 1925.62, "word": " لكن", "probability": 0.54833984375}, {"start": 1925.62, "end": 1925.96, "word": " هو", "probability": 0.89306640625}, {"start": 1925.96, "end": 1926.56, "word": " بسيط", "probability": 0.9967041015625}, {"start": 1926.56, "end": 1927.1, "word": " جدا", "probability": 0.994873046875}, {"start": 1927.1, "end": 1928.5, "word": " ومافيش", "probability": 0.8697509765625}, {"start": 1928.5, "end": 1928.74, "word": " فيه", "probability": 0.92529296875}, {"start": 1928.74, "end": 1928.94, "word": " اي", "probability": 0.841796875}, {"start": 1928.94, "end": 1929.7, "word": " اشكالية", "probability": 0.86865234375}, {"start": 1929.7, "end": 1930.22, "word": " من", "probability": 0.8623046875}, {"start": 1930.22, "end": 1930.4, "word": " اللى", "probability": 0.660400390625}, {"start": 1930.4, "end": 1930.96, "word": " مصعب", "probability": 0.8887939453125}, {"start": 1930.96, "end": 1931.6, "word": " المثلة", "probability": 0.9025065104166666}, {"start": 1931.6, "end": 1932.76, "word": " او", "probability": 0.89794921875}, {"start": 1932.76, "end": 1932.94, "word": " من", "probability": 0.98681640625}, {"start": 1932.94, "end": 1933.14, "word": " اللى", "probability": 0.842041015625}, {"start": 1933.14, "end": 1933.66, "word": " وضعها", "probability": 0.993896484375}, {"start": 1933.66, "end": 1933.92, "word": " مش", "probability": 0.97607421875}, {"start": 1933.92, "end": 1934.58, "word": " طبيعي", "probability": 0.90478515625}, {"start": 1934.58, "end": 1934.72, "word": " في", "probability": 0.76220703125}, {"start": 1934.72, "end": 1935.48, "word": " المثلة", "probability": 0.9641927083333334}, {"start": 1935.48, "end": 1936.22, "word": " ال", "probability": 0.67333984375}, {"start": 1936.22, "end": 1936.78, "word": " EO6", "probability": 0.5446370442708334}, {"start": 1936.78, "end": 1937.18, "word": " تربية", "probability": 0.7051595052083334}, {"start": 1937.18, "end": 1937.32, "word": " احنا", "probability": 0.8995768229166666}, {"start": 1937.32, "end": 1937.58, "word": " بيقول", "probability": 0.7950846354166666}, {"start": 1937.58, "end": 1938.12, "word": " cosine", "probability": 0.40673828125}, {"start": 1938.12, "end": 1938.64, "word": " theta", "probability": 0.2783203125}, {"start": 1938.64, "end": 1939.34, "word": " cosine", "probability": 0.9208984375}, {"start": 1939.34, "end": 1939.82, "word": " X", "probability": 0.6513671875}, {"start": 1939.82, "end": 1940.18, "word": " دايما", "probability": 0.7070719401041666}, {"start": 1940.18, "end": 1940.54, "word": " مقولش", "probability": 0.59716796875}, {"start": 1940.54, "end": 1940.98, "word": " cosine", "probability": 0.92138671875}, {"start": 1940.98, "end": 1941.6, "word": " EO6", "probability": 0.9005533854166666}, {"start": 1941.6, "end": 1942.06, "word": " تربية", "probability": 0.90771484375}, {"start": 1942.06, "end": 1942.82, "word": " اذا", "probability": 0.833740234375}, {"start": 1942.82, "end": 1943.2, "word": " هدى", "probability": 0.6480305989583334}, {"start": 1943.2, "end": 1943.48, "word": " بدي", "probability": 0.54833984375}, {"start": 1943.48, "end": 1943.86, "word": " اشيلها", "probability": 0.912353515625}, {"start": 1943.86, "end": 1944.3, "word": " واحط", "probability": 0.5941569010416666}, {"start": 1944.3, "end": 1944.9, "word": " بدلها", "probability": 0.9153645833333334}, {"start": 1944.9, "end": 1945.34, "word": " اي", "probability": 0.918701171875}, {"start": 1945.34, "end": 1946.18, "word": " متغير", "probability": 0.95166015625}, {"start": 1946.18, "end": 1946.64, "word": " اخر", "probability": 0.932861328125}], "temperature": 1.0}, {"id": 84, "seek": 197243, "start": 1946.95, "end": 1972.43, "text": "إذا لو حطيت θ تساوي E أُس X تربيع وحبيت أشتقها Dθ مشتقة ال X بننشل بال X بننشل نفسها ضرب مشتقة الأس اللي هو ب2X DX يبقى 2X E أُس X تربيع مع ال DX هذه كلها هي", "tokens": [28814, 15730, 45164, 11331, 9566, 36081, 12622, 6055, 3794, 995, 45865, 462, 5551, 10859, 3794, 1783, 6055, 2288, 21292, 3615, 4032, 5016, 21292, 2655, 5551, 8592, 2655, 4587, 11296, 413, 9440, 3714, 8592, 2655, 28671, 2423, 1783, 44945, 1863, 8592, 1211, 20666, 1783, 44945, 1863, 8592, 1211, 8717, 36178, 11296, 48812, 25513, 37893, 2655, 28671, 16247, 3794, 13672, 1829, 31439, 4724, 17, 55, 48817, 7251, 3555, 4587, 7578, 568, 55, 462, 5551, 10859, 3794, 1783, 6055, 2288, 21292, 3615, 20449, 2423, 48817, 29538, 28242, 11296, 39896], "avg_logprob": -0.193426716944267, "compression_ratio": 1.6838709677419355, "no_speech_prob": 0.0, "words": [{"start": 1946.95, "end": 1947.39, "word": "إذا", "probability": 0.5894775390625}, {"start": 1947.39, "end": 1947.67, "word": " لو", "probability": 0.98876953125}, {"start": 1947.67, "end": 1948.39, "word": " حطيت", "probability": 0.9586588541666666}, {"start": 1948.39, "end": 1948.89, "word": " θ", "probability": 0.564453125}, {"start": 1948.89, "end": 1949.85, "word": " تساوي", "probability": 0.826416015625}, {"start": 1949.85, "end": 1950.31, "word": " E", "probability": 0.52099609375}, {"start": 1950.31, "end": 1950.79, "word": " أُس", "probability": 0.7262369791666666}, {"start": 1950.79, "end": 1951.03, "word": " X", "probability": 0.88916015625}, {"start": 1951.03, "end": 1951.61, "word": " تربيع", "probability": 0.859375}, {"start": 1951.61, "end": 1952.87, "word": " وحبيت", "probability": 0.8558349609375}, {"start": 1952.87, "end": 1953.81, "word": " أشتقها", "probability": 0.9439453125}, {"start": 1953.81, "end": 1954.61, "word": " Dθ", "probability": 0.5423583984375}, {"start": 1954.61, "end": 1955.79, "word": " مشتقة", "probability": 0.8031005859375}, {"start": 1955.79, "end": 1956.05, "word": " ال", "probability": 0.9296875}, {"start": 1956.05, "end": 1956.25, "word": " X", "probability": 0.71484375}, {"start": 1956.25, "end": 1957.19, "word": " بننشل", "probability": 0.8533935546875}, {"start": 1957.19, "end": 1957.51, "word": " بال", "probability": 0.95751953125}, {"start": 1957.51, "end": 1958.07, "word": " X", "probability": 0.841796875}, {"start": 1958.07, "end": 1959.13, "word": " بننشل", "probability": 0.946533203125}, {"start": 1959.13, "end": 1959.95, "word": " نفسها", "probability": 0.9695638020833334}, {"start": 1959.95, "end": 1960.61, "word": " ضرب", "probability": 0.948974609375}, {"start": 1960.61, "end": 1961.61, "word": " مشتقة", "probability": 0.92138671875}, {"start": 1961.61, "end": 1962.47, "word": " الأس", "probability": 0.62939453125}, {"start": 1962.47, "end": 1962.97, "word": " اللي", "probability": 0.76171875}, {"start": 1962.97, "end": 1963.11, "word": " هو", "probability": 0.7421875}, {"start": 1963.11, "end": 1964.23, "word": " ب2X", "probability": 0.7374674479166666}, {"start": 1964.23, "end": 1964.87, "word": " DX", "probability": 0.33642578125}, {"start": 1964.87, "end": 1965.89, "word": " يبقى", "probability": 0.979248046875}, {"start": 1965.89, "end": 1967.09, "word": " 2X", "probability": 0.928955078125}, {"start": 1967.09, "end": 1967.65, "word": " E", "probability": 0.85498046875}, {"start": 1967.65, "end": 1968.11, "word": " أُس", "probability": 0.9371744791666666}, {"start": 1968.11, "end": 1968.49, "word": " X", "probability": 0.99365234375}, {"start": 1968.49, "end": 1969.39, "word": " تربيع", "probability": 0.953125}, {"start": 1969.39, "end": 1969.87, "word": " مع", "probability": 0.98486328125}, {"start": 1969.87, "end": 1970.13, "word": " ال", "probability": 0.9208984375}, {"start": 1970.13, "end": 1970.71, "word": " DX", "probability": 0.826171875}, {"start": 1970.71, "end": 1971.21, "word": " هذه", "probability": 0.5078125}, {"start": 1971.21, "end": 1972.15, "word": " كلها", "probability": 0.922607421875}, {"start": 1972.15, "end": 1972.43, "word": " هي", "probability": 0.33935546875}], "temperature": 1.0}, {"id": 85, "seek": 198257, "start": 1973.45, "end": 1982.57, "text": "بقدر أشيلها و أقبلها دي ثيتا يبقى صار تكامل ل cos θ دي ثيتا", "tokens": [3555, 28543, 2288, 5551, 8592, 26895, 11296, 4032, 5551, 4587, 36150, 11296, 11778, 1829, 38637, 36081, 995, 7251, 3555, 4587, 7578, 20328, 9640, 6055, 4117, 10943, 1211, 5296, 3792, 12622, 11778, 1829, 38637, 36081, 995], "avg_logprob": -0.3114149305555556, "compression_ratio": 1.186046511627907, "no_speech_prob": 0.0, "words": [{"start": 1973.45, "end": 1973.93, "word": "بقدر", "probability": 0.7689615885416666}, {"start": 1973.93, "end": 1974.31, "word": " أشيلها", "probability": 0.7608642578125}, {"start": 1974.31, "end": 1974.39, "word": " و", "probability": 0.8515625}, {"start": 1974.39, "end": 1975.25, "word": " أقبلها", "probability": 0.897216796875}, {"start": 1975.25, "end": 1976.37, "word": " دي", "probability": 0.5677490234375}, {"start": 1976.37, "end": 1977.05, "word": " ثيتا", "probability": 0.7000325520833334}, {"start": 1977.05, "end": 1977.91, "word": " يبقى", "probability": 0.9388427734375}, {"start": 1977.91, "end": 1978.41, "word": " صار", "probability": 0.74560546875}, {"start": 1978.41, "end": 1979.65, "word": " تكامل", "probability": 0.937744140625}, {"start": 1979.65, "end": 1979.87, "word": " ل", "probability": 0.8173828125}, {"start": 1979.87, "end": 1980.41, "word": " cos", "probability": 0.1356201171875}, {"start": 1980.41, "end": 1981.71, "word": " θ", "probability": 0.47265625}, {"start": 1981.71, "end": 1982.23, "word": " دي", "probability": 0.8935546875}, {"start": 1982.23, "end": 1982.57, "word": " ثيتا", "probability": 0.8870442708333334}], "temperature": 1.0}, {"id": 86, "seek": 200401, "start": 1983.49, "end": 2004.01, "text": "حطنا تعويضة بيدغير حدود التكامل طبقا للتعويضة لأن هذا الحدود للمتغير X بيدشوف ما هي الحدود المناظرة للمتغير فاتا اذا بيدشيل ال X وحط مكانها الجذر التربيعي لمن ال Y", "tokens": [5016, 9566, 8315, 37279, 45865, 11242, 3660, 4724, 25708, 17082, 13546, 11331, 3215, 23328, 16712, 4117, 10943, 1211, 23032, 3555, 4587, 995, 24976, 2655, 3615, 45865, 11242, 3660, 5296, 33456, 23758, 21542, 3215, 23328, 5296, 19528, 2655, 17082, 13546, 1783, 4724, 25708, 8592, 38688, 19446, 39896, 21542, 3215, 23328, 9673, 1863, 5718, 116, 25720, 5296, 19528, 2655, 17082, 13546, 6156, 9307, 995, 1975, 15730, 4724, 25708, 8592, 26895, 2423, 1783, 4032, 5016, 9566, 3714, 41361, 11296, 25724, 8848, 2288, 16712, 25513, 40228, 1829, 5296, 27842, 2423, 398], "avg_logprob": -0.21253550475971264, "compression_ratio": 1.826086956521739, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1983.49, "end": 1984.19, "word": "حطنا", "probability": 0.6953125}, {"start": 1984.19, "end": 1985.21, "word": " تعويضة", "probability": 0.92626953125}, {"start": 1985.21, "end": 1986.27, "word": " بيدغير", "probability": 0.65838623046875}, {"start": 1986.27, "end": 1986.83, "word": " حدود", "probability": 0.9563802083333334}, {"start": 1986.83, "end": 1987.71, "word": " التكامل", "probability": 0.950927734375}, {"start": 1987.71, "end": 1988.47, "word": " طبقا", "probability": 0.918212890625}, {"start": 1988.47, "end": 1989.51, "word": " للتعويضة", "probability": 0.9608561197916666}, {"start": 1989.51, "end": 1989.85, "word": " لأن", "probability": 0.700439453125}, {"start": 1989.85, "end": 1990.19, "word": " هذا", "probability": 0.459228515625}, {"start": 1990.19, "end": 1990.73, "word": " الحدود", "probability": 0.9625651041666666}, {"start": 1990.73, "end": 1991.71, "word": " للمتغير", "probability": 0.86845703125}, {"start": 1991.71, "end": 1992.07, "word": " X", "probability": 0.6611328125}, {"start": 1992.07, "end": 1993.05, "word": " بيدشوف", "probability": 0.73614501953125}, {"start": 1993.05, "end": 1993.35, "word": " ما", "probability": 0.96044921875}, {"start": 1993.35, "end": 1993.57, "word": " هي", "probability": 0.7421875}, {"start": 1993.57, "end": 1994.23, "word": " الحدود", "probability": 0.9835611979166666}, {"start": 1994.23, "end": 1995.35, "word": " المناظرة", "probability": 0.8900390625}, {"start": 1995.35, "end": 1996.57, "word": " للمتغير", "probability": 0.9654296875}, {"start": 1996.57, "end": 1997.27, "word": " فاتا", "probability": 0.5250651041666666}, {"start": 1997.27, "end": 1997.87, "word": " اذا", "probability": 0.5994873046875}, {"start": 1997.87, "end": 1998.53, "word": " بيدشيل", "probability": 0.908935546875}, {"start": 1998.53, "end": 1998.67, "word": " ال", "probability": 0.7333984375}, {"start": 1998.67, "end": 1998.89, "word": " X", "probability": 0.8994140625}, {"start": 1998.89, "end": 1999.39, "word": " وحط", "probability": 0.849609375}, {"start": 1999.39, "end": 2000.09, "word": " مكانها", "probability": 0.9874674479166666}, {"start": 2000.09, "end": 2000.67, "word": " الجذر", "probability": 0.95556640625}, {"start": 2000.67, "end": 2001.77, "word": " التربيعي", "probability": 0.8026123046875}, {"start": 2001.77, "end": 2003.31, "word": " لمن", "probability": 0.77197265625}, {"start": 2003.31, "end": 2003.67, "word": " ال", "probability": 0.66845703125}, {"start": 2003.67, "end": 2004.01, "word": " Y", "probability": 0.397705078125}], "temperature": 1.0}, {"id": 87, "seek": 202025, "start": 2004.19, "end": 2020.25, "text": "يبقى الجدر التربيعي مع التربيع الله سبحانه وتعالى بصير E أس لن ال باي ال يبقى ب باي ال سل حطها زيرو بصير E أزيرو لواحد يبقى من واحد لبعض", "tokens": [1829, 3555, 4587, 7578, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 1829, 20449, 16712, 2288, 21292, 3615, 21984, 8608, 49628, 7649, 3224, 34683, 3615, 6027, 7578, 4724, 9381, 13546, 462, 5551, 3794, 5296, 1863, 2423, 4724, 47302, 2423, 7251, 3555, 4587, 7578, 4724, 4724, 47302, 2423, 8608, 1211, 11331, 9566, 11296, 30767, 13546, 2407, 4724, 9381, 13546, 462, 5551, 11622, 13546, 2407, 5296, 14407, 24401, 7251, 3555, 4587, 7578, 9154, 36764, 24401, 5296, 3555, 3615, 11242], "avg_logprob": -0.48538961193778296, "compression_ratio": 1.8396946564885497, "no_speech_prob": 0.0, "words": [{"start": 2004.19, "end": 2004.97, "word": "يبقى", "probability": 0.655517578125}, {"start": 2004.97, "end": 2005.41, "word": " الجدر", "probability": 0.818359375}, {"start": 2005.41, "end": 2006.21, "word": " التربيعي", "probability": 0.700439453125}, {"start": 2006.21, "end": 2006.41, "word": " مع", "probability": 0.818359375}, {"start": 2006.41, "end": 2007.03, "word": " التربيع", "probability": 0.938720703125}, {"start": 2007.03, "end": 2007.29, "word": " الله", "probability": 0.341064453125}, {"start": 2007.29, "end": 2007.65, "word": " سبحانه", "probability": 0.684326171875}, {"start": 2007.65, "end": 2007.83, "word": " وتعالى", "probability": 0.8221435546875}, {"start": 2007.83, "end": 2008.17, "word": " بصير", "probability": 0.59356689453125}, {"start": 2008.17, "end": 2008.71, "word": " E", "probability": 0.39013671875}, {"start": 2008.71, "end": 2009.49, "word": " أس", "probability": 0.53271484375}, {"start": 2009.49, "end": 2010.15, "word": " لن", "probability": 0.70654296875}, {"start": 2010.15, "end": 2010.41, "word": " ال", "probability": 0.669921875}, {"start": 2010.41, "end": 2010.79, "word": " باي", "probability": 0.2987060546875}, {"start": 2010.79, "end": 2010.99, "word": " ال", "probability": 0.26171875}, {"start": 2010.99, "end": 2011.47, "word": " يبقى", "probability": 0.772491455078125}, {"start": 2011.47, "end": 2011.59, "word": " ب", "probability": 0.7470703125}, {"start": 2011.59, "end": 2013.25, "word": " باي", "probability": 0.4786376953125}, {"start": 2013.25, "end": 2013.61, "word": " ال", "probability": 0.164794921875}, {"start": 2013.61, "end": 2013.99, "word": " سل", "probability": 0.5753173828125}, {"start": 2013.99, "end": 2015.25, "word": " حطها", "probability": 0.4734293619791667}, {"start": 2015.25, "end": 2015.85, "word": " زيرو", "probability": 0.5266927083333334}, {"start": 2015.85, "end": 2016.25, "word": " بصير", "probability": 0.8863932291666666}, {"start": 2016.25, "end": 2016.65, "word": " E", "probability": 0.96728515625}, {"start": 2016.65, "end": 2017.57, "word": " أزيرو", "probability": 0.55438232421875}, {"start": 2017.57, "end": 2018.33, "word": " لواحد", "probability": 0.83349609375}, {"start": 2018.33, "end": 2018.79, "word": " يبقى", "probability": 0.9393310546875}, {"start": 2018.79, "end": 2018.95, "word": " من", "probability": 0.9794921875}, {"start": 2018.95, "end": 2019.59, "word": " واحد", "probability": 0.9853515625}, {"start": 2019.59, "end": 2020.25, "word": " لبعض", "probability": 0.7099609375}], "temperature": 1.0}, {"id": 88, "seek": 204859, "start": 2044.33, "end": 2048.59, "text": "تكامل الثاني نمر اتنين", "tokens": [2655, 4117, 10943, 1211, 2423, 12984, 7649, 1829, 8717, 29973, 1975, 2655, 1863, 9957], "avg_logprob": -0.5296875238418579, "compression_ratio": 0.9534883720930233, "no_speech_prob": 0.0, "words": [{"start": 2044.33, "end": 2045.73, "word": "تكامل", "probability": 0.7247314453125}, {"start": 2045.73, "end": 2047.13, "word": " الثاني", "probability": 0.5409088134765625}, {"start": 2047.13, "end": 2047.87, "word": " نمر", "probability": 0.4708251953125}, {"start": 2047.87, "end": 2048.59, "word": " اتنين", "probability": 0.9019775390625}], "temperature": 1.0}, {"id": 89, "seek": 206138, "start": 2049.74, "end": 2061.38, "text": "بعد ما تكامل E أسالب واحد على X تربيع على X تكييب كله بالنسبة إلى DX", "tokens": [3555, 22488, 19446, 6055, 4117, 10943, 1211, 462, 5551, 3794, 6027, 3555, 36764, 24401, 15844, 1783, 6055, 2288, 21292, 3615, 15844, 1783, 6055, 4117, 1829, 1829, 3555, 28242, 3224, 20666, 1863, 35457, 3660, 30731, 48817], "avg_logprob": -0.2591145742270682, "compression_ratio": 1.2340425531914894, "no_speech_prob": 0.0, "words": [{"start": 2049.74, "end": 2050.12, "word": "بعد", "probability": 0.3851318359375}, {"start": 2050.12, "end": 2050.22, "word": " ما", "probability": 0.33056640625}, {"start": 2050.22, "end": 2051.3, "word": " تكامل", "probability": 0.93798828125}, {"start": 2051.3, "end": 2052.22, "word": " E", "probability": 0.462158203125}, {"start": 2052.22, "end": 2053.46, "word": " أسالب", "probability": 0.645751953125}, {"start": 2053.46, "end": 2054.06, "word": " واحد", "probability": 0.917724609375}, {"start": 2054.06, "end": 2054.44, "word": " على", "probability": 0.69970703125}, {"start": 2054.44, "end": 2054.88, "word": " X", "probability": 0.89111328125}, {"start": 2054.88, "end": 2055.66, "word": " تربيع", "probability": 0.8074951171875}, {"start": 2055.66, "end": 2056.64, "word": " على", "probability": 0.78515625}, {"start": 2056.64, "end": 2057.22, "word": " X", "probability": 0.97998046875}, {"start": 2057.22, "end": 2058.16, "word": " تكييب", "probability": 0.94345703125}, {"start": 2058.16, "end": 2058.88, "word": " كله", "probability": 0.940673828125}, {"start": 2058.88, "end": 2059.82, "word": " بالنسبة", "probability": 0.9925537109375}, {"start": 2059.82, "end": 2060.34, "word": " إلى", "probability": 0.432861328125}, {"start": 2060.34, "end": 2061.38, "word": " DX", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 90, "seek": 209187, "start": 2066.49, "end": 2091.87, "text": "بارضه تجيش مباشرة في شغلة بدها تعويضها في الأول من اللي وضحها مش طبيعي ايه؟ لو سالب واحد على اكس ترمية احنا بقول ايه ال six دايما، مابقولش ايه سالب واحد على اكس ترمية، اذا بدي اشيل سالب واحد على اكس ترمية و احطها بأي متغير اخر، اذا لو حطيتي T تساوي سالب واحد على اكس ترمية، يعني دي T تساوي جداك", "tokens": [3555, 9640, 11242, 3224, 6055, 7435, 1829, 8592, 3714, 3555, 33599, 25720, 8978, 13412, 17082, 37977, 47525, 11296, 37279, 45865, 11242, 11296, 8978, 16247, 12610, 9154, 13672, 1829, 4032, 11242, 5016, 11296, 37893, 23032, 21292, 3615, 1829, 1975, 1829, 3224, 22807, 45164, 8608, 6027, 3555, 36764, 24401, 15844, 1975, 4117, 3794, 6055, 2288, 2304, 10632, 1975, 5016, 8315, 4724, 39648, 1975, 1829, 3224, 2423, 2309, 11778, 47302, 15042, 12399, 19446, 3555, 39648, 8592, 1975, 1829, 3224, 8608, 6027, 3555, 36764, 24401, 15844, 1975, 4117, 3794, 6055, 2288, 2304, 10632, 12399, 1975, 15730, 4724, 16254, 1975, 8592, 26895, 8608, 6027, 3555, 36764, 24401, 15844, 1975, 4117, 3794, 6055, 2288, 2304, 10632, 4032, 1975, 5016, 9566, 11296, 4724, 10721, 1829, 44650, 17082, 13546, 1975, 34740, 12399, 1975, 15730, 45164, 11331, 9566, 1829, 31371, 314, 6055, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401, 15844, 1975, 4117, 3794, 6055, 2288, 2304, 10632, 12399, 37495, 22653, 11778, 1829, 314, 6055, 3794, 995, 45865, 10874, 28259, 4117], "avg_logprob": -0.25632667687772975, "compression_ratio": 2.25974025974026, "no_speech_prob": 0.0, "words": [{"start": 2066.4900000000002, "end": 2067.19, "word": "بارضه", "probability": 0.6173095703125}, {"start": 2067.19, "end": 2067.89, "word": " تجيش", "probability": 0.7789306640625}, {"start": 2067.89, "end": 2068.65, "word": " مباشرة", "probability": 0.9639892578125}, {"start": 2068.65, "end": 2068.91, "word": " في", "probability": 0.794921875}, {"start": 2068.91, "end": 2069.39, "word": " شغلة", "probability": 0.7259114583333334}, {"start": 2069.39, "end": 2069.73, "word": " بدها", "probability": 0.7626953125}, {"start": 2069.73, "end": 2070.23, "word": " تعويضها", "probability": 0.8548583984375}, {"start": 2070.23, "end": 2070.33, "word": " في", "probability": 0.84130859375}, {"start": 2070.33, "end": 2070.75, "word": " الأول", "probability": 0.930908203125}, {"start": 2070.75, "end": 2071.73, "word": " من", "probability": 0.76171875}, {"start": 2071.73, "end": 2071.87, "word": " اللي", "probability": 0.903564453125}, {"start": 2071.87, "end": 2072.25, "word": " وضحها", "probability": 0.8817138671875}, {"start": 2072.25, "end": 2072.39, "word": " مش", "probability": 0.96728515625}, {"start": 2072.39, "end": 2072.99, "word": " طبيعي", "probability": 0.9622802734375}, {"start": 2072.99, "end": 2073.69, "word": " ايه؟", "probability": 0.6409912109375}, {"start": 2073.69, "end": 2074.05, "word": " لو", "probability": 0.357666015625}, {"start": 2074.05, "end": 2074.79, "word": " سالب", "probability": 0.6783040364583334}, {"start": 2074.79, "end": 2076.03, "word": " واحد", "probability": 0.9375}, {"start": 2076.03, "end": 2076.23, "word": " على", "probability": 0.6533203125}, {"start": 2076.23, "end": 2076.53, "word": " اكس", "probability": 0.6505126953125}, {"start": 2076.53, "end": 2076.71, "word": " ترمية", "probability": 0.61260986328125}, {"start": 2076.71, "end": 2076.87, "word": " احنا", "probability": 0.8336588541666666}, {"start": 2076.87, "end": 2077.11, "word": " بقول", "probability": 0.646240234375}, {"start": 2077.11, "end": 2077.51, "word": " ايه", "probability": 0.5508219401041666}, {"start": 2077.51, "end": 2077.63, "word": " ال", "probability": 0.33642578125}, {"start": 2077.63, "end": 2077.93, "word": " six", "probability": 0.464599609375}, {"start": 2077.93, "end": 2078.39, "word": " دايما،", "probability": 0.71875}, {"start": 2078.39, "end": 2078.83, "word": " مابقولش", "probability": 0.69140625}, {"start": 2078.83, "end": 2079.01, "word": " ايه", "probability": 0.9306640625}, {"start": 2079.01, "end": 2079.39, "word": " سالب", "probability": 0.6112467447916666}, {"start": 2079.39, "end": 2079.57, "word": " واحد", "probability": 0.98193359375}, {"start": 2079.57, "end": 2079.65, "word": " على", "probability": 0.8388671875}, {"start": 2079.65, "end": 2079.83, "word": " اكس", "probability": 0.9602864583333334}, {"start": 2079.83, "end": 2080.55, "word": " ترمية،", "probability": 0.877490234375}, {"start": 2080.55, "end": 2080.73, "word": " اذا", "probability": 0.86767578125}, {"start": 2080.73, "end": 2081.05, "word": " بدي", "probability": 0.79736328125}, {"start": 2081.05, "end": 2081.33, "word": " اشيل", "probability": 0.8953450520833334}, {"start": 2081.33, "end": 2081.79, "word": " سالب", "probability": 0.9410807291666666}, {"start": 2081.79, "end": 2082.01, "word": " واحد", "probability": 0.99267578125}, {"start": 2082.01, "end": 2082.15, "word": " على", "probability": 0.91259765625}, {"start": 2082.15, "end": 2082.31, "word": " اكس", "probability": 0.9607747395833334}, {"start": 2082.31, "end": 2082.43, "word": " ترمية", "probability": 0.987060546875}, {"start": 2082.43, "end": 2082.55, "word": " و", "probability": 0.420166015625}, {"start": 2082.55, "end": 2082.99, "word": " احطها", "probability": 0.77593994140625}, {"start": 2082.99, "end": 2083.57, "word": " بأي", "probability": 0.8419596354166666}, {"start": 2083.57, "end": 2084.47, "word": " متغير", "probability": 0.94580078125}, {"start": 2084.47, "end": 2085.57, "word": " اخر،", "probability": 0.7535807291666666}, {"start": 2085.57, "end": 2085.81, "word": " اذا", "probability": 0.95263671875}, {"start": 2085.81, "end": 2086.05, "word": " لو", "probability": 0.99169921875}, {"start": 2086.05, "end": 2086.89, "word": " حطيتي", "probability": 0.778076171875}, {"start": 2086.89, "end": 2087.23, "word": " T", "probability": 0.36279296875}, {"start": 2087.23, "end": 2087.95, "word": " تساوي", "probability": 0.81268310546875}, {"start": 2087.95, "end": 2088.61, "word": " سالب", "probability": 0.9220377604166666}, {"start": 2088.61, "end": 2089.07, "word": " واحد", "probability": 0.987548828125}, {"start": 2089.07, "end": 2089.29, "word": " على", "probability": 0.91650390625}, {"start": 2089.29, "end": 2089.67, "word": " اكس", "probability": 0.9622395833333334}, {"start": 2089.67, "end": 2090.07, "word": " ترمية،", "probability": 0.91904296875}, {"start": 2090.07, "end": 2090.17, "word": " يعني", "probability": 0.783203125}, {"start": 2090.17, "end": 2090.47, "word": " دي", "probability": 0.883056640625}, {"start": 2090.47, "end": 2090.65, "word": " T", "probability": 0.82763671875}, {"start": 2090.65, "end": 2091.15, "word": " تساوي", "probability": 0.9698486328125}, {"start": 2091.15, "end": 2091.87, "word": " جداك", "probability": 0.8170572916666666}], "temperature": 1.0}, {"id": 91, "seek": 212137, "start": 2093.93, "end": 2121.37, "text": "أتنين على X تكييب DX يعني سالب X أث ناقص اتنين بصير اتنين X أث ناقص تلاتة DX يعني اتنين على X تكييب DX ماعنديش اتنينات إذا بضرب كله في نص DT بدي ساوي واحد على X تكييب DX واحد على X تكييب DX اللي بدي أشيله و أكتب بالهم نص DT", "tokens": [10721, 2655, 1863, 9957, 15844, 1783, 6055, 4117, 1829, 1829, 3555, 48817, 37495, 22653, 8608, 6027, 3555, 1783, 5551, 12984, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 1783, 5551, 12984, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 48817, 37495, 22653, 1975, 2655, 1863, 9957, 15844, 1783, 6055, 4117, 1829, 1829, 3555, 48817, 19446, 3615, 1863, 16254, 8592, 1975, 2655, 1863, 9957, 9307, 11933, 15730, 4724, 11242, 25513, 28242, 3224, 8978, 8717, 9381, 413, 51, 4724, 16254, 8608, 995, 45865, 36764, 24401, 15844, 1783, 6055, 4117, 1829, 1829, 3555, 48817, 36764, 24401, 15844, 1783, 6055, 4117, 1829, 1829, 3555, 48817, 13672, 1829, 4724, 16254, 5551, 8592, 26895, 3224, 4032, 5551, 4117, 2655, 3555, 20666, 16095, 8717, 9381, 413, 51], "avg_logprob": -0.19531249557621777, "compression_ratio": 2.2189349112426036, "no_speech_prob": 0.0, "words": [{"start": 2093.93, "end": 2094.91, "word": "أتنين", "probability": 0.62701416015625}, {"start": 2094.91, "end": 2095.73, "word": " على", "probability": 0.55615234375}, {"start": 2095.73, "end": 2096.33, "word": " X", "probability": 0.28125}, {"start": 2096.33, "end": 2097.47, "word": " تكييب", "probability": 0.92099609375}, {"start": 2097.47, "end": 2097.85, "word": " DX", "probability": 0.9755859375}, {"start": 2097.85, "end": 2098.57, "word": " يعني", "probability": 0.86376953125}, {"start": 2098.57, "end": 2099.17, "word": " سالب", "probability": 0.8317057291666666}, {"start": 2099.17, "end": 2099.55, "word": " X", "probability": 0.953125}, {"start": 2099.55, "end": 2099.95, "word": " أث", "probability": 0.5303955078125}, {"start": 2099.95, "end": 2100.61, "word": " ناقص", "probability": 0.81201171875}, {"start": 2100.61, "end": 2101.13, "word": " اتنين", "probability": 0.8935546875}, {"start": 2101.13, "end": 2101.59, "word": " بصير", "probability": 0.7555338541666666}, {"start": 2101.59, "end": 2102.15, "word": " اتنين", "probability": 0.9708251953125}, {"start": 2102.15, "end": 2102.49, "word": " X", "probability": 0.974609375}, {"start": 2102.49, "end": 2102.83, "word": " أث", "probability": 0.970458984375}, {"start": 2102.83, "end": 2103.29, "word": " ناقص", "probability": 0.9881591796875}, {"start": 2103.29, "end": 2103.77, "word": " تلاتة", "probability": 0.862548828125}, {"start": 2103.77, "end": 2104.19, "word": " DX", "probability": 0.994140625}, {"start": 2104.19, "end": 2104.89, "word": " يعني", "probability": 0.9287109375}, {"start": 2104.89, "end": 2105.29, "word": " اتنين", "probability": 0.9608154296875}, {"start": 2105.29, "end": 2105.51, "word": " على", "probability": 0.83837890625}, {"start": 2105.51, "end": 2105.81, "word": " X", "probability": 0.98681640625}, {"start": 2105.81, "end": 2106.55, "word": " تكييب", "probability": 0.99345703125}, {"start": 2106.55, "end": 2107.13, "word": " DX", "probability": 0.99658203125}, {"start": 2107.13, "end": 2108.09, "word": " ماعنديش", "probability": 0.909765625}, {"start": 2108.09, "end": 2108.83, "word": " اتنينات", "probability": 0.92099609375}, {"start": 2108.83, "end": 2109.09, "word": " إذا", "probability": 0.8193359375}, {"start": 2109.09, "end": 2109.59, "word": " بضرب", "probability": 0.8733723958333334}, {"start": 2109.59, "end": 2110.17, "word": " كله", "probability": 0.9375}, {"start": 2110.17, "end": 2110.45, "word": " في", "probability": 0.91845703125}, {"start": 2110.45, "end": 2111.03, "word": " نص", "probability": 0.826171875}, {"start": 2111.03, "end": 2112.33, "word": " DT", "probability": 0.643310546875}, {"start": 2112.33, "end": 2112.75, "word": " بدي", "probability": 0.488525390625}, {"start": 2112.75, "end": 2113.25, "word": " ساوي", "probability": 0.6019694010416666}, {"start": 2113.25, "end": 2113.85, "word": " واحد", "probability": 0.907958984375}, {"start": 2113.85, "end": 2114.11, "word": " على", "probability": 0.82275390625}, {"start": 2114.11, "end": 2114.47, "word": " X", "probability": 0.9921875}, {"start": 2114.47, "end": 2115.13, "word": " تكييب", "probability": 0.98134765625}, {"start": 2115.13, "end": 2115.59, "word": " DX", "probability": 0.9951171875}, {"start": 2115.59, "end": 2116.59, "word": " واحد", "probability": 0.95068359375}, {"start": 2116.59, "end": 2116.81, "word": " على", "probability": 0.8994140625}, {"start": 2116.81, "end": 2117.11, "word": " X", "probability": 0.99365234375}, {"start": 2117.11, "end": 2117.69, "word": " تكييب", "probability": 0.99658203125}, {"start": 2117.69, "end": 2118.15, "word": " DX", "probability": 0.99658203125}, {"start": 2118.15, "end": 2118.37, "word": " اللي", "probability": 0.906982421875}, {"start": 2118.37, "end": 2118.57, "word": " بدي", "probability": 0.896484375}, {"start": 2118.57, "end": 2118.99, "word": " أشيله", "probability": 0.8123779296875}, {"start": 2118.99, "end": 2119.11, "word": " و", "probability": 0.501953125}, {"start": 2119.11, "end": 2119.31, "word": " أكتب", "probability": 0.8948974609375}, {"start": 2119.31, "end": 2119.81, "word": " بالهم", "probability": 0.3359375}, {"start": 2119.81, "end": 2120.47, "word": " نص", "probability": 0.86328125}, {"start": 2120.47, "end": 2121.37, "word": " DT", "probability": 0.778564453125}], "temperature": 1.0}, {"id": 92, "seek": 214773, "start": 2121.67, "end": 2147.73, "text": "يبقى هاي النص برا و تكامل E أس T D T ولا بسيط ولا حاجة تكامل ال X بننشل بال X بننشل itself زائد constant C بنشيل ال T و بنكتبها بدلالة X يبقى نص E أس ماقص واحد على X ترمية زائد constant C example 3", "tokens": [1829, 3555, 4587, 7578, 8032, 47302, 28239, 9381, 4724, 23557, 4032, 6055, 4117, 10943, 1211, 462, 5551, 3794, 314, 413, 314, 49429, 4724, 3794, 1829, 9566, 49429, 11331, 26108, 3660, 6055, 4117, 10943, 1211, 2423, 1783, 44945, 1863, 8592, 1211, 20666, 1783, 44945, 1863, 8592, 1211, 2564, 30767, 16373, 3215, 5754, 383, 44945, 8592, 26895, 2423, 314, 4032, 44945, 4117, 2655, 3555, 11296, 47525, 1211, 6027, 3660, 1783, 7251, 3555, 4587, 7578, 8717, 9381, 462, 5551, 3794, 3714, 995, 4587, 9381, 36764, 24401, 15844, 1783, 6055, 2288, 2304, 10632, 30767, 16373, 3215, 5754, 383, 1365, 805], "avg_logprob": -0.25579895924047097, "compression_ratio": 1.5692307692307692, "no_speech_prob": 0.0, "words": [{"start": 2121.67, "end": 2122.35, "word": "يبقى", "probability": 0.650390625}, {"start": 2122.35, "end": 2122.69, "word": " هاي", "probability": 0.4326171875}, {"start": 2122.69, "end": 2123.11, "word": " النص", "probability": 0.8544921875}, {"start": 2123.11, "end": 2123.63, "word": " برا", "probability": 0.88134765625}, {"start": 2123.63, "end": 2124.11, "word": " و", "probability": 0.2822265625}, {"start": 2124.11, "end": 2125.03, "word": " تكامل", "probability": 0.8604736328125}, {"start": 2125.03, "end": 2125.57, "word": " E", "probability": 0.349365234375}, {"start": 2125.57, "end": 2126.23, "word": " أس", "probability": 0.55413818359375}, {"start": 2126.23, "end": 2126.65, "word": " T", "probability": 0.62841796875}, {"start": 2126.65, "end": 2127.09, "word": " D", "probability": 0.379638671875}, {"start": 2127.09, "end": 2127.47, "word": " T", "probability": 0.81640625}, {"start": 2127.47, "end": 2127.77, "word": " ولا", "probability": 0.34716796875}, {"start": 2127.77, "end": 2128.33, "word": " بسيط", "probability": 0.9656982421875}, {"start": 2128.33, "end": 2128.53, "word": " ولا", "probability": 0.7236328125}, {"start": 2128.53, "end": 2129.07, "word": " حاجة", "probability": 0.984375}, {"start": 2129.07, "end": 2130.23, "word": " تكامل", "probability": 0.9422607421875}, {"start": 2130.23, "end": 2130.35, "word": " ال", "probability": 0.90673828125}, {"start": 2130.35, "end": 2130.55, "word": " X", "probability": 0.57666015625}, {"start": 2130.55, "end": 2131.27, "word": " بننشل", "probability": 0.68389892578125}, {"start": 2131.27, "end": 2131.51, "word": " بال", "probability": 0.98291015625}, {"start": 2131.51, "end": 2131.89, "word": " X", "probability": 0.82763671875}, {"start": 2131.89, "end": 2132.69, "word": " بننشل", "probability": 0.8834228515625}, {"start": 2132.69, "end": 2133.33, "word": " itself", "probability": 0.50244140625}, {"start": 2133.33, "end": 2133.99, "word": " زائد", "probability": 0.796875}, {"start": 2133.99, "end": 2134.55, "word": " constant", "probability": 0.86767578125}, {"start": 2134.55, "end": 2135.15, "word": " C", "probability": 0.87744140625}, {"start": 2135.15, "end": 2136.13, "word": " بنشيل", "probability": 0.8935546875}, {"start": 2136.13, "end": 2136.31, "word": " ال", "probability": 0.67431640625}, {"start": 2136.31, "end": 2136.47, "word": " T", "probability": 0.95947265625}, {"start": 2136.47, "end": 2136.59, "word": " و", "probability": 0.72509765625}, {"start": 2136.59, "end": 2137.11, "word": " بنكتبها", "probability": 0.95029296875}, {"start": 2137.11, "end": 2137.79, "word": " بدلالة", "probability": 0.8583984375}, {"start": 2137.79, "end": 2138.19, "word": " X", "probability": 0.98876953125}, {"start": 2138.19, "end": 2139.25, "word": " يبقى", "probability": 0.9798583984375}, {"start": 2139.25, "end": 2139.75, "word": " نص", "probability": 0.98974609375}, {"start": 2139.75, "end": 2140.19, "word": " E", "probability": 0.978515625}, {"start": 2140.19, "end": 2140.61, "word": " أس", "probability": 0.962890625}, {"start": 2140.61, "end": 2141.27, "word": " ماقص", "probability": 0.696441650390625}, {"start": 2141.27, "end": 2141.75, "word": " واحد", "probability": 0.97412109375}, {"start": 2141.75, "end": 2142.05, "word": " على", "probability": 0.71875}, {"start": 2142.05, "end": 2142.37, "word": " X", "probability": 0.95556640625}, {"start": 2142.37, "end": 2142.91, "word": " ترمية", "probability": 0.61456298828125}, {"start": 2142.91, "end": 2144.37, "word": " زائد", "probability": 0.9718424479166666}, {"start": 2144.37, "end": 2145.09, "word": " constant", "probability": 0.95458984375}, {"start": 2145.09, "end": 2145.97, "word": " C", "probability": 0.98046875}, {"start": 2145.97, "end": 2147.35, "word": " example", "probability": 0.47705078125}, {"start": 2147.35, "end": 2147.73, "word": " 3", "probability": 0.493408203125}], "temperature": 1.0}, {"id": 93, "seek": 216581, "start": 2150.41, "end": 2165.81, "text": "بيقول لي بدي تكامل واحد زائد ايه؟ أس كتان ال X كل هذا في كسيكن تربيع ال X في ال DX", "tokens": [21292, 39648, 32239, 4724, 16254, 6055, 4117, 10943, 1211, 36764, 24401, 30767, 16373, 3215, 1975, 1829, 3224, 22807, 5551, 3794, 9122, 2655, 7649, 2423, 1783, 28242, 23758, 8978, 9122, 3794, 1829, 19452, 6055, 2288, 21292, 3615, 2423, 1783, 8978, 2423, 48817], "avg_logprob": -0.42150296696594786, "compression_ratio": 1.320754716981132, "no_speech_prob": 0.0, "words": [{"start": 2150.41, "end": 2151.07, "word": "بيقول", "probability": 0.57122802734375}, {"start": 2151.07, "end": 2151.31, "word": " لي", "probability": 0.43798828125}, {"start": 2151.31, "end": 2151.95, "word": " بدي", "probability": 0.4317626953125}, {"start": 2151.95, "end": 2153.01, "word": " تكامل", "probability": 0.9837646484375}, {"start": 2153.01, "end": 2154.37, "word": " واحد", "probability": 0.7381591796875}, {"start": 2154.37, "end": 2155.27, "word": " زائد", "probability": 0.96728515625}, {"start": 2155.27, "end": 2156.25, "word": " ايه؟", "probability": 0.4949951171875}, {"start": 2156.25, "end": 2156.69, "word": " أس", "probability": 0.588134765625}, {"start": 2156.69, "end": 2157.77, "word": " كتان", "probability": 0.8561197916666666}, {"start": 2157.77, "end": 2158.09, "word": " ال", "probability": 0.90576171875}, {"start": 2158.09, "end": 2158.65, "word": " X", "probability": 0.58251953125}, {"start": 2158.65, "end": 2159.67, "word": " كل", "probability": 0.8740234375}, {"start": 2159.67, "end": 2160.35, "word": " هذا", "probability": 0.8388671875}, {"start": 2160.35, "end": 2161.09, "word": " في", "probability": 0.94921875}, {"start": 2161.09, "end": 2162.15, "word": " كسيكن", "probability": 0.49725341796875}, {"start": 2162.15, "end": 2163.23, "word": " تربيع", "probability": 0.89306640625}, {"start": 2163.23, "end": 2163.43, "word": " ال", "probability": 0.90576171875}, {"start": 2163.43, "end": 2163.85, "word": " X", "probability": 0.96435546875}, {"start": 2163.85, "end": 2164.69, "word": " في", "probability": 0.90380859375}, {"start": 2164.69, "end": 2164.83, "word": " ال", "probability": 0.3505859375}, {"start": 2164.83, "end": 2165.81, "word": " DX", "probability": 0.50146484375}], "temperature": 1.0}, {"id": 94, "seek": 219040, "start": 2169.28, "end": 2190.4, "text": "هتطلع على الدالة هذه وشوف لإيش الصعوبة فيها، يعني وين الصعوبة في هذه المسألة أو مين اللي وضعها مش طبيعي، عشان نتخلص منها ونحطها بمتغير جديد ونحول مسألتنا كلها بدلالة هذا المتغير الجديد", "tokens": [3224, 2655, 9566, 1211, 3615, 15844, 32748, 6027, 3660, 29538, 4032, 8592, 38688, 5296, 28814, 1829, 8592, 31767, 3615, 37746, 3660, 8978, 11296, 12399, 37495, 22653, 4032, 9957, 31767, 3615, 37746, 3660, 8978, 29538, 9673, 3794, 10721, 37977, 34051, 3714, 9957, 13672, 1829, 4032, 11242, 3615, 11296, 37893, 23032, 21292, 3615, 1829, 12399, 6225, 8592, 7649, 8717, 2655, 9778, 1211, 9381, 9154, 11296, 4032, 1863, 5016, 9566, 11296, 4724, 2304, 2655, 17082, 13546, 10874, 16254, 3215, 4032, 1863, 5016, 12610, 47524, 10721, 1211, 2655, 8315, 28242, 11296, 47525, 1211, 6027, 3660, 23758, 9673, 2655, 17082, 13546, 25724, 16254, 3215], "avg_logprob": -0.1455468763411045, "compression_ratio": 1.8770949720670391, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2169.28, "end": 2170.02, "word": "هتطلع", "probability": 0.69267578125}, {"start": 2170.02, "end": 2170.2, "word": " على", "probability": 0.305908203125}, {"start": 2170.2, "end": 2170.74, "word": " الدالة", "probability": 0.8541666666666666}, {"start": 2170.74, "end": 2171.26, "word": " هذه", "probability": 0.76806640625}, {"start": 2171.26, "end": 2172.3, "word": " وشوف", "probability": 0.7587890625}, {"start": 2172.3, "end": 2173.08, "word": " لإيش", "probability": 0.767822265625}, {"start": 2173.08, "end": 2174.52, "word": " الصعوبة", "probability": 0.9884033203125}, {"start": 2174.52, "end": 2174.92, "word": " فيها،", "probability": 0.7870279947916666}, {"start": 2174.92, "end": 2175.16, "word": " يعني", "probability": 0.9541015625}, {"start": 2175.16, "end": 2175.48, "word": " وين", "probability": 0.95458984375}, {"start": 2175.48, "end": 2176.24, "word": " الصعوبة", "probability": 0.9901123046875}, {"start": 2176.24, "end": 2176.4, "word": " في", "probability": 0.98291015625}, {"start": 2176.4, "end": 2176.74, "word": " هذه", "probability": 0.96044921875}, {"start": 2176.74, "end": 2177.54, "word": " المسألة", "probability": 0.833984375}, {"start": 2177.54, "end": 2178.4, "word": " أو", "probability": 0.68408203125}, {"start": 2178.4, "end": 2178.64, "word": " مين", "probability": 0.958740234375}, {"start": 2178.64, "end": 2178.8, "word": " اللي", "probability": 0.986572265625}, {"start": 2178.8, "end": 2179.26, "word": " وضعها", "probability": 0.972412109375}, {"start": 2179.26, "end": 2179.54, "word": " مش", "probability": 0.97998046875}, {"start": 2179.54, "end": 2180.5, "word": " طبيعي،", "probability": 0.919140625}, {"start": 2180.5, "end": 2181.28, "word": " عشان", "probability": 0.7607421875}, {"start": 2181.28, "end": 2182.02, "word": " نتخلص", "probability": 0.9908203125}, {"start": 2182.02, "end": 2182.34, "word": " منها", "probability": 0.99462890625}, {"start": 2182.34, "end": 2182.98, "word": " ونحطها", "probability": 0.95205078125}, {"start": 2182.98, "end": 2183.94, "word": " بمتغير", "probability": 0.98994140625}, {"start": 2183.94, "end": 2184.66, "word": " جديد", "probability": 0.9969075520833334}, {"start": 2184.66, "end": 2185.64, "word": " ونحول", "probability": 0.8560791015625}, {"start": 2185.64, "end": 2186.44, "word": " مسألتنا", "probability": 0.94384765625}, {"start": 2186.44, "end": 2187.1, "word": " كلها", "probability": 0.986328125}, {"start": 2187.1, "end": 2188.26, "word": " بدلالة", "probability": 0.9005126953125}, {"start": 2188.26, "end": 2188.56, "word": " هذا", "probability": 0.9248046875}, {"start": 2188.56, "end": 2189.46, "word": " المتغير", "probability": 0.989501953125}, {"start": 2189.46, "end": 2190.4, "word": " الجديد", "probability": 0.98828125}], "temperature": 1.0}, {"id": 95, "seek": 221296, "start": 2192.82, "end": 2212.96, "text": "نهيت أن تفضل كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان", "tokens": [1863, 3224, 36081, 14739, 6055, 5172, 11242, 1211, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649, 9122, 2655, 7649], "avg_logprob": -0.23592341993306135, "compression_ratio": 7.288888888888889, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2192.82, "end": 2193.94, "word": "نهيت", "probability": 0.5522054036458334}, {"start": 2193.94, "end": 2194.18, "word": " أن", "probability": 0.1414794921875}, {"start": 2194.18, "end": 2194.74, "word": " تفضل", "probability": 0.6590576171875}, {"start": 2194.74, "end": 2195.2, "word": " كتان", "probability": 0.684326171875}, {"start": 2195.2, "end": 2195.94, "word": " كتان", "probability": 0.5718587239583334}, {"start": 2195.94, "end": 2195.94, "word": " كتان", "probability": 0.6822102864583334}, {"start": 2195.94, "end": 2196.14, "word": " كتان", "probability": 0.752685546875}, {"start": 2196.14, "end": 2196.24, "word": " كتان", "probability": 0.8115234375}, {"start": 2196.24, "end": 2196.24, "word": " كتان", "probability": 0.8362630208333334}, {"start": 2196.24, "end": 2196.24, "word": " كتان", "probability": 0.8338216145833334}, {"start": 2196.24, "end": 2196.24, "word": " كتان", "probability": 0.8307291666666666}, {"start": 2196.24, "end": 2196.24, "word": " كتان", "probability": 0.8313802083333334}, {"start": 2196.24, "end": 2196.28, "word": " كتان", "probability": 0.8380533854166666}, {"start": 2196.28, "end": 2196.28, "word": " كتان", "probability": 0.853515625}, {"start": 2196.28, "end": 2196.28, "word": " كتان", "probability": 0.8714192708333334}, {"start": 2196.28, "end": 2196.34, "word": " كتان", "probability": 0.89111328125}, {"start": 2196.34, "end": 2196.34, "word": " كتان", "probability": 0.9065755208333334}, {"start": 2196.34, "end": 2196.4, "word": " كتان", "probability": 0.9210611979166666}, {"start": 2196.4, "end": 2196.4, "word": " كتان", "probability": 0.9334309895833334}, {"start": 2196.4, "end": 2196.4, "word": " كتان", "probability": 0.9422200520833334}, {"start": 2196.4, "end": 2196.48, "word": " كتان", "probability": 0.9490559895833334}, {"start": 2196.48, "end": 2196.48, "word": " كتان", "probability": 0.95361328125}, {"start": 2196.48, "end": 2197.08, "word": " كتان", "probability": 0.9583333333333334}, {"start": 2197.08, "end": 2197.26, "word": " كتان", "probability": 0.9606119791666666}, {"start": 2197.26, "end": 2197.26, "word": " كتان", "probability": 0.962890625}, {"start": 2197.26, "end": 2197.32, "word": " كتان", "probability": 0.9651692708333334}, {"start": 2197.32, "end": 2197.4, "word": " كتان", "probability": 0.9676106770833334}, {"start": 2197.4, "end": 2199.52, "word": " كتان", "probability": 0.9690755208333334}, {"start": 2199.52, "end": 2200.12, "word": " كتان", "probability": 0.9710286458333334}, {"start": 2200.12, "end": 2201.08, "word": " كتان", "probability": 0.9724934895833334}, {"start": 2201.08, "end": 2201.48, "word": " كتان", "probability": 0.9736328125}, {"start": 2201.48, "end": 2202.38, "word": " كتان", "probability": 0.9755859375}, {"start": 2202.38, "end": 2203.26, "word": " كتان", "probability": 0.97705078125}, {"start": 2203.26, "end": 2204.14, "word": " كتان", "probability": 0.97900390625}, {"start": 2204.14, "end": 2208.4, "word": " كتان", "probability": 0.9803059895833334}, {"start": 2208.4, "end": 2209.26, "word": " كتان", "probability": 0.9816080729166666}, {"start": 2209.26, "end": 2212.96, "word": " كتان", "probability": 0.9830729166666666}], "temperature": 1.0}, {"id": 96, "seek": 222421, "start": 2213.96, "end": 2224.22, "text": "سالب DY يبقى هذا السالب برا ويتكامل 1 زائد E أس Y في الـ DY", "tokens": [3794, 6027, 3555, 48427, 7251, 3555, 4587, 7578, 23758, 21136, 6027, 3555, 4724, 23557, 4032, 36081, 4117, 10943, 1211, 502, 30767, 16373, 3215, 462, 5551, 3794, 398, 8978, 2423, 39184, 48427], "avg_logprob": -0.30859374441206455, "compression_ratio": 1.1411764705882352, "no_speech_prob": 0.0, "words": [{"start": 2213.96, "end": 2214.98, "word": "سالب", "probability": 0.6510009765625}, {"start": 2214.98, "end": 2215.74, "word": " DY", "probability": 0.145751953125}, {"start": 2215.74, "end": 2216.9, "word": " يبقى", "probability": 0.871826171875}, {"start": 2216.9, "end": 2217.32, "word": " هذا", "probability": 0.9189453125}, {"start": 2217.32, "end": 2218.08, "word": " السالب", "probability": 0.91796875}, {"start": 2218.08, "end": 2218.66, "word": " برا", "probability": 0.810791015625}, {"start": 2218.66, "end": 2220.06, "word": " ويتكامل", "probability": 0.91337890625}, {"start": 2220.06, "end": 2220.52, "word": " 1", "probability": 0.66357421875}, {"start": 2220.52, "end": 2221.36, "word": " زائد", "probability": 0.63623046875}, {"start": 2221.36, "end": 2221.86, "word": " E", "probability": 0.90087890625}, {"start": 2221.86, "end": 2222.64, "word": " أس", "probability": 0.56787109375}, {"start": 2222.64, "end": 2223.58, "word": " Y", "probability": 0.95556640625}, {"start": 2223.58, "end": 2223.82, "word": " في", "probability": 0.89208984375}, {"start": 2223.82, "end": 2224.0, "word": " الـ", "probability": 0.780517578125}, {"start": 2224.0, "end": 2224.22, "word": " DY", "probability": 0.26611328125}], "temperature": 1.0}, {"id": 97, "seek": 225006, "start": 2226.3, "end": 2250.06, "text": "بسيطة يبقى ناقص y ناقص e أس y زائد constant c الواحد تكمله ب y و ال e أس y ب e أس y و السلف دخلته على الاتنين و أضافنا زائد constant c يبقى هذا الكلام يساوي النقص بدنا نشيل ال y و نحط بدل قيمة الهمين", "tokens": [3555, 3794, 1829, 9566, 3660, 7251, 3555, 4587, 7578, 8717, 995, 4587, 9381, 288, 8717, 995, 4587, 9381, 308, 5551, 3794, 288, 30767, 16373, 3215, 5754, 269, 2423, 14407, 24401, 6055, 24793, 43761, 4724, 288, 4032, 2423, 308, 5551, 3794, 288, 4724, 308, 5551, 3794, 288, 4032, 21136, 46538, 11778, 9778, 1211, 47395, 15844, 2423, 9307, 1863, 9957, 4032, 5551, 11242, 31845, 8315, 30767, 16373, 3215, 5754, 269, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 28239, 4587, 9381, 47525, 8315, 8717, 8592, 26895, 2423, 288, 4032, 8717, 5016, 9566, 47525, 1211, 12174, 32640, 3660, 2423, 16095, 9957], "avg_logprob": -0.1855279149361027, "compression_ratio": 1.732620320855615, "no_speech_prob": 0.0, "words": [{"start": 2226.3, "end": 2227.18, "word": "بسيطة", "probability": 0.96953125}, {"start": 2227.18, "end": 2228.16, "word": " يبقى", "probability": 0.9227294921875}, {"start": 2228.16, "end": 2228.92, "word": " ناقص", "probability": 0.80718994140625}, {"start": 2228.92, "end": 2229.52, "word": " y", "probability": 0.57666015625}, {"start": 2229.52, "end": 2230.92, "word": " ناقص", "probability": 0.96826171875}, {"start": 2230.92, "end": 2231.34, "word": " e", "probability": 0.603515625}, {"start": 2231.34, "end": 2232.02, "word": " أس", "probability": 0.5980224609375}, {"start": 2232.02, "end": 2232.64, "word": " y", "probability": 0.9619140625}, {"start": 2232.64, "end": 2233.64, "word": " زائد", "probability": 0.7799479166666666}, {"start": 2233.64, "end": 2234.18, "word": " constant", "probability": 0.7236328125}, {"start": 2234.18, "end": 2234.7, "word": " c", "probability": 0.7607421875}, {"start": 2234.7, "end": 2235.48, "word": " الواحد", "probability": 0.94482421875}, {"start": 2235.48, "end": 2236.12, "word": " تكمله", "probability": 0.7604166666666666}, {"start": 2236.12, "end": 2236.28, "word": " ب", "probability": 0.83544921875}, {"start": 2236.28, "end": 2236.58, "word": " y", "probability": 0.3447265625}, {"start": 2236.58, "end": 2237.18, "word": " و", "probability": 0.413330078125}, {"start": 2237.18, "end": 2237.34, "word": " ال", "probability": 0.83984375}, {"start": 2237.34, "end": 2237.58, "word": " e", "probability": 0.57275390625}, {"start": 2237.58, "end": 2237.84, "word": " أس", "probability": 0.912353515625}, {"start": 2237.84, "end": 2238.08, "word": " y", "probability": 0.9609375}, {"start": 2238.08, "end": 2238.22, "word": " ب", "probability": 0.9521484375}, {"start": 2238.22, "end": 2238.4, "word": " e", "probability": 0.8427734375}, {"start": 2238.4, "end": 2238.64, "word": " أس", "probability": 0.953369140625}, {"start": 2238.64, "end": 2238.88, "word": " y", "probability": 0.99072265625}, {"start": 2238.88, "end": 2239.04, "word": " و", "probability": 0.42431640625}, {"start": 2239.04, "end": 2239.44, "word": " السلف", "probability": 0.72607421875}, {"start": 2239.44, "end": 2240.04, "word": " دخلته", "probability": 0.9287109375}, {"start": 2240.04, "end": 2240.22, "word": " على", "probability": 0.85595703125}, {"start": 2240.22, "end": 2240.82, "word": " الاتنين", "probability": 0.769287109375}, {"start": 2240.82, "end": 2241.28, "word": " و", "probability": 0.62890625}, {"start": 2241.28, "end": 2241.84, "word": " أضافنا", "probability": 0.87451171875}, {"start": 2241.84, "end": 2242.46, "word": " زائد", "probability": 0.9611002604166666}, {"start": 2242.46, "end": 2243.04, "word": " constant", "probability": 0.9609375}, {"start": 2243.04, "end": 2243.74, "word": " c", "probability": 0.9453125}, {"start": 2243.74, "end": 2244.5, "word": " يبقى", "probability": 0.9754638671875}, {"start": 2244.5, "end": 2244.78, "word": " هذا", "probability": 0.97314453125}, {"start": 2244.78, "end": 2245.36, "word": " الكلام", "probability": 0.9684244791666666}, {"start": 2245.36, "end": 2246.02, "word": " يساوي", "probability": 0.95947265625}, {"start": 2246.02, "end": 2246.58, "word": " النقص", "probability": 0.7228190104166666}, {"start": 2246.58, "end": 2247.0, "word": " بدنا", "probability": 0.74609375}, {"start": 2247.0, "end": 2247.46, "word": " نشيل", "probability": 0.9739583333333334}, {"start": 2247.46, "end": 2247.64, "word": " ال", "probability": 0.98095703125}, {"start": 2247.64, "end": 2247.96, "word": " y", "probability": 0.84765625}, {"start": 2247.96, "end": 2248.1, "word": " و", "probability": 0.99072265625}, {"start": 2248.1, "end": 2248.46, "word": " نحط", "probability": 0.87255859375}, {"start": 2248.46, "end": 2248.78, "word": " بدل", "probability": 0.739013671875}, {"start": 2248.78, "end": 2249.36, "word": " قيمة", "probability": 0.8426106770833334}, {"start": 2249.36, "end": 2250.06, "word": " الهمين", "probability": 0.66259765625}], "temperature": 1.0}, {"id": 98, "seek": 226896, "start": 2261.26, "end": 2268.96, "text": "سؤال الرابع بيقول يبدوا تكامل", "tokens": [3794, 33604, 6027, 34892, 16758, 3615, 4724, 1829, 39648, 7251, 44510, 14407, 6055, 4117, 10943, 1211], "avg_logprob": -0.31502757352941174, "compression_ratio": 0.9, "no_speech_prob": 0.0, "words": [{"start": 2261.2599999999998, "end": 2262.66, "word": "سؤال", "probability": 0.8351236979166666}, {"start": 2262.66, "end": 2263.52, "word": " الرابع", "probability": 0.9759114583333334}, {"start": 2263.52, "end": 2267.56, "word": " بيقول", "probability": 0.6956787109375}, {"start": 2267.56, "end": 2268.0, "word": " يبدوا", "probability": 0.4591471354166667}, {"start": 2268.0, "end": 2268.96, "word": " تكامل", "probability": 0.970458984375}], "temperature": 1.0}, {"id": 99, "seek": 230071, "start": 2273.3, "end": 2300.72, "text": "سؤال الرابع يبدو تكامل E أس اتنين X على E أس X ناقص واحد DX يلا اختاروا علينا نشوف كيف نعمل في هذا السؤال اللي فوق E أس اتنين X و اللي تحت E أس X ناقص واحد", "tokens": [3794, 33604, 6027, 34892, 16758, 3615, 7251, 44510, 2407, 6055, 4117, 10943, 1211, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 15844, 462, 5551, 3794, 1783, 8717, 995, 4587, 9381, 36764, 24401, 48817, 7251, 15040, 1975, 46456, 9640, 14407, 25894, 8315, 8717, 8592, 38688, 9122, 33911, 8717, 25957, 1211, 8978, 23758, 21136, 33604, 6027, 13672, 1829, 6156, 30543, 462, 5551, 3794, 1975, 2655, 1863, 9957, 1783, 4032, 13672, 1829, 6055, 33753, 462, 5551, 3794, 1783, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.22103658609273957, "compression_ratio": 1.7891156462585034, "no_speech_prob": 0.0, "words": [{"start": 2273.3, "end": 2273.88, "word": "سؤال", "probability": 0.833984375}, {"start": 2273.88, "end": 2274.52, "word": " الرابع", "probability": 0.9606119791666666}, {"start": 2274.52, "end": 2275.88, "word": " يبدو", "probability": 0.38720703125}, {"start": 2275.88, "end": 2276.76, "word": " تكامل", "probability": 0.963134765625}, {"start": 2276.76, "end": 2277.32, "word": " E", "probability": 0.59375}, {"start": 2277.32, "end": 2277.88, "word": " أس", "probability": 0.271240234375}, {"start": 2277.88, "end": 2278.7, "word": " اتنين", "probability": 0.8406982421875}, {"start": 2278.7, "end": 2279.26, "word": " X", "probability": 0.9189453125}, {"start": 2279.26, "end": 2280.62, "word": " على", "probability": 0.6494140625}, {"start": 2280.62, "end": 2281.24, "word": " E", "probability": 0.98828125}, {"start": 2281.24, "end": 2281.82, "word": " أس", "probability": 0.944091796875}, {"start": 2281.82, "end": 2282.26, "word": " X", "probability": 0.97412109375}, {"start": 2282.26, "end": 2283.1, "word": " ناقص", "probability": 0.9542236328125}, {"start": 2283.1, "end": 2283.98, "word": " واحد", "probability": 0.97412109375}, {"start": 2283.98, "end": 2284.88, "word": " DX", "probability": 0.7763671875}, {"start": 2284.88, "end": 2288.1, "word": " يلا", "probability": 0.5428466796875}, {"start": 2288.1, "end": 2288.5, "word": " اختاروا", "probability": 0.70196533203125}, {"start": 2288.5, "end": 2288.96, "word": " علينا", "probability": 0.67431640625}, {"start": 2288.96, "end": 2289.28, "word": " نشوف", "probability": 0.8429361979166666}, {"start": 2289.28, "end": 2289.56, "word": " كيف", "probability": 0.96240234375}, {"start": 2289.56, "end": 2290.12, "word": " نعمل", "probability": 0.7688802083333334}, {"start": 2290.12, "end": 2290.26, "word": " في", "probability": 0.873046875}, {"start": 2290.26, "end": 2290.78, "word": " هذا", "probability": 0.94091796875}, {"start": 2290.78, "end": 2292.06, "word": " السؤال", "probability": 0.99462890625}, {"start": 2292.06, "end": 2296.1, "word": " اللي", "probability": 0.5316162109375}, {"start": 2296.1, "end": 2296.62, "word": " فوق", "probability": 0.9599609375}, {"start": 2296.62, "end": 2297.3, "word": " E", "probability": 0.96337890625}, {"start": 2297.3, "end": 2297.6, "word": " أس", "probability": 0.93896484375}, {"start": 2297.6, "end": 2298.0, "word": " اتنين", "probability": 0.9627685546875}, {"start": 2298.0, "end": 2298.3, "word": " X", "probability": 0.986328125}, {"start": 2298.3, "end": 2298.5, "word": " و", "probability": 0.48779296875}, {"start": 2298.5, "end": 2298.62, "word": " اللي", "probability": 0.882568359375}, {"start": 2298.62, "end": 2299.02, "word": " تحت", "probability": 0.98779296875}, {"start": 2299.02, "end": 2299.28, "word": " E", "probability": 0.9697265625}, {"start": 2299.28, "end": 2299.54, "word": " أس", "probability": 0.9736328125}, {"start": 2299.54, "end": 2299.78, "word": " X", "probability": 0.98779296875}, {"start": 2299.78, "end": 2300.3, "word": " ناقص", "probability": 0.9935302734375}, {"start": 2300.3, "end": 2300.72, "word": " واحد", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 100, "seek": 231648, "start": 2303.79, "end": 2316.49, "text": "أيش بتقترحوا؟ مين اللي بيعطي الصحوبة للبسله؟ لأ بدي اللي بيعرف يرفع عيده فوق، ايه؟ فبطل حينك و خلاص فكر، بطل يعرف، اه اقول يا ابن ايه؟", "tokens": [10721, 1829, 8592, 39894, 38149, 2288, 5016, 14407, 22807, 3714, 9957, 13672, 1829, 4724, 1829, 3615, 9566, 1829, 31767, 5016, 37746, 3660, 24976, 3555, 3794, 43761, 22807, 5296, 10721, 4724, 16254, 13672, 1829, 4724, 40228, 28480, 7251, 28480, 3615, 6225, 25708, 3224, 6156, 30543, 12399, 1975, 1829, 3224, 22807, 6156, 3555, 9566, 1211, 11331, 9957, 4117, 4032, 16490, 1211, 33546, 6156, 4117, 2288, 12399, 4724, 9566, 1211, 37495, 28480, 12399, 1975, 3224, 1975, 39648, 35186, 48127, 1863, 1975, 1829, 3224, 22807], "avg_logprob": -0.33307925375496467, "compression_ratio": 1.6462585034013606, "no_speech_prob": 0.0, "words": [{"start": 2303.7900000000004, "end": 2304.4300000000003, "word": "أيش", "probability": 0.5287679036458334}, {"start": 2304.4300000000003, "end": 2305.07, "word": " بتقترحوا؟", "probability": 0.8946126302083334}, {"start": 2305.07, "end": 2306.61, "word": " مين", "probability": 0.886962890625}, {"start": 2306.61, "end": 2306.75, "word": " اللي", "probability": 0.94873046875}, {"start": 2306.75, "end": 2307.09, "word": " بيعطي", "probability": 0.77783203125}, {"start": 2307.09, "end": 2307.55, "word": " الصحوبة", "probability": 0.8306884765625}, {"start": 2307.55, "end": 2309.01, "word": " للبسله؟", "probability": 0.57431640625}, {"start": 2309.01, "end": 2309.21, "word": " لأ", "probability": 0.566650390625}, {"start": 2309.21, "end": 2309.39, "word": " بدي", "probability": 0.47149658203125}, {"start": 2309.39, "end": 2309.55, "word": " اللي", "probability": 0.97216796875}, {"start": 2309.55, "end": 2309.95, "word": " بيعرف", "probability": 0.95556640625}, {"start": 2309.95, "end": 2310.29, "word": " يرفع", "probability": 0.9812825520833334}, {"start": 2310.29, "end": 2310.53, "word": " عيده", "probability": 0.7880045572916666}, {"start": 2310.53, "end": 2311.19, "word": " فوق،", "probability": 0.8292643229166666}, {"start": 2311.19, "end": 2312.29, "word": " ايه؟", "probability": 0.66259765625}, {"start": 2312.29, "end": 2313.59, "word": " فبطل", "probability": 0.739501953125}, {"start": 2313.59, "end": 2314.01, "word": " حينك", "probability": 0.6155598958333334}, {"start": 2314.01, "end": 2314.11, "word": " و", "probability": 0.92822265625}, {"start": 2314.11, "end": 2314.37, "word": " خلاص", "probability": 0.8243815104166666}, {"start": 2314.37, "end": 2314.81, "word": " فكر،", "probability": 0.6746826171875}, {"start": 2314.81, "end": 2315.11, "word": " بطل", "probability": 0.947265625}, {"start": 2315.11, "end": 2315.41, "word": " يعرف،", "probability": 0.764892578125}, {"start": 2315.41, "end": 2315.63, "word": " اه", "probability": 0.60400390625}, {"start": 2315.63, "end": 2315.81, "word": " اقول", "probability": 0.55487060546875}, {"start": 2315.81, "end": 2315.93, "word": " يا", "probability": 0.67431640625}, {"start": 2315.93, "end": 2316.13, "word": " ابن", "probability": 0.881591796875}, {"start": 2316.13, "end": 2316.49, "word": " ايه؟", "probability": 0.87158203125}], "temperature": 1.0}, {"id": 101, "seek": 233887, "start": 2318.67, "end": 2338.87, "text": "عفر ال EOX بقدرش؟ بواي يعني بدي تحط ال EO6 بمتغير جديد فاهم يعني؟ بدي يصير عندك EO6 في EO6 يعني بصير Y تربيع على Y ناقص واحد كلهم صح، بس في عندي أسهل من هيك", "tokens": [3615, 5172, 2288, 2423, 462, 46, 55, 4724, 28543, 2288, 8592, 22807, 4724, 14407, 1829, 37495, 22653, 4724, 16254, 6055, 5016, 9566, 2423, 462, 46, 21, 4724, 2304, 2655, 17082, 13546, 10874, 16254, 3215, 6156, 995, 16095, 37495, 22653, 22807, 4724, 16254, 7251, 9381, 13546, 43242, 4117, 462, 46, 21, 8978, 462, 46, 21, 37495, 22653, 4724, 9381, 13546, 398, 6055, 2288, 21292, 3615, 15844, 398, 8717, 995, 4587, 9381, 36764, 24401, 28242, 16095, 20328, 5016, 12399, 4724, 3794, 8978, 18871, 16254, 5551, 3794, 3224, 1211, 9154, 39896, 4117], "avg_logprob": -0.2968750102652444, "compression_ratio": 1.6335403726708075, "no_speech_prob": 0.0, "words": [{"start": 2318.67, "end": 2319.07, "word": "عفر", "probability": 0.4419352213541667}, {"start": 2319.07, "end": 2319.23, "word": " ال", "probability": 0.30078125}, {"start": 2319.23, "end": 2319.75, "word": " EOX", "probability": 0.5874837239583334}, {"start": 2319.75, "end": 2320.47, "word": " بقدرش؟", "probability": 0.67734375}, {"start": 2320.47, "end": 2320.77, "word": " بواي", "probability": 0.4761962890625}, {"start": 2320.77, "end": 2322.03, "word": " يعني", "probability": 0.745361328125}, {"start": 2322.03, "end": 2322.65, "word": " بدي", "probability": 0.35986328125}, {"start": 2322.65, "end": 2323.19, "word": " تحط", "probability": 0.9098307291666666}, {"start": 2323.19, "end": 2323.39, "word": " ال", "probability": 0.9208984375}, {"start": 2323.39, "end": 2324.23, "word": " EO6", "probability": 0.873046875}, {"start": 2324.23, "end": 2325.33, "word": " بمتغير", "probability": 0.975390625}, {"start": 2325.33, "end": 2325.97, "word": " جديد", "probability": 0.9913736979166666}, {"start": 2325.97, "end": 2326.65, "word": " فاهم", "probability": 0.7939453125}, {"start": 2326.65, "end": 2327.17, "word": " يعني؟", "probability": 0.4842122395833333}, {"start": 2327.17, "end": 2327.49, "word": " بدي", "probability": 0.66015625}, {"start": 2327.49, "end": 2327.97, "word": " يصير", "probability": 0.7269694010416666}, {"start": 2327.97, "end": 2328.75, "word": " عندك", "probability": 0.955322265625}, {"start": 2328.75, "end": 2329.93, "word": " EO6", "probability": 0.9607747395833334}, {"start": 2329.93, "end": 2330.07, "word": " في", "probability": 0.6201171875}, {"start": 2330.07, "end": 2330.57, "word": " EO6", "probability": 0.9788411458333334}, {"start": 2330.57, "end": 2330.81, "word": " يعني", "probability": 0.951416015625}, {"start": 2330.81, "end": 2331.11, "word": " بصير", "probability": 0.6922200520833334}, {"start": 2331.11, "end": 2331.35, "word": " Y", "probability": 0.8779296875}, {"start": 2331.35, "end": 2331.89, "word": " تربيع", "probability": 0.7542724609375}, {"start": 2331.89, "end": 2332.09, "word": " على", "probability": 0.65576171875}, {"start": 2332.09, "end": 2332.33, "word": " Y", "probability": 0.9677734375}, {"start": 2332.33, "end": 2333.11, "word": " ناقص", "probability": 0.956787109375}, {"start": 2333.11, "end": 2333.59, "word": " واحد", "probability": 0.942138671875}, {"start": 2333.59, "end": 2335.91, "word": " كلهم", "probability": 0.86865234375}, {"start": 2335.91, "end": 2336.91, "word": " صح،", "probability": 0.774658203125}, {"start": 2336.91, "end": 2337.19, "word": " بس", "probability": 0.990478515625}, {"start": 2337.19, "end": 2337.37, "word": " في", "probability": 0.82177734375}, {"start": 2337.37, "end": 2337.69, "word": " عندي", "probability": 0.811279296875}, {"start": 2337.69, "end": 2338.25, "word": " أسهل", "probability": 0.90234375}, {"start": 2338.25, "end": 2338.45, "word": " من", "probability": 0.99462890625}, {"start": 2338.45, "end": 2338.87, "word": " هيك", "probability": 0.918701171875}], "temperature": 1.0}, {"id": 102, "seek": 236053, "start": 2341.25, "end": 2360.53, "text": "المقام كله بدي أشيله و أحطه بمتغير جديد وبالتالي الكلام منطقي بس هلأ شوف ايش اللي بصير هذه بقدر اكتبها تكامل E أس X في E أس X على E أس X ناقص واحد في DX بهذا الشكل تمام؟", "tokens": [45340, 4587, 10943, 28242, 3224, 4724, 16254, 5551, 8592, 26895, 3224, 4032, 5551, 5016, 9566, 3224, 4724, 2304, 2655, 17082, 13546, 10874, 16254, 3215, 46599, 6027, 2655, 6027, 1829, 2423, 28820, 10943, 9154, 9566, 38436, 4724, 3794, 8032, 1211, 10721, 13412, 38688, 1975, 1829, 8592, 13672, 1829, 4724, 9381, 13546, 29538, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 6055, 4117, 10943, 1211, 462, 5551, 3794, 1783, 8978, 462, 5551, 3794, 1783, 15844, 462, 5551, 3794, 1783, 8717, 995, 4587, 9381, 36764, 24401, 8978, 48817, 39627, 15730, 25124, 28820, 46811, 10943, 22807], "avg_logprob": -0.22479838325131324, "compression_ratio": 1.6590909090909092, "no_speech_prob": 0.0, "words": [{"start": 2341.25, "end": 2341.89, "word": "المقام", "probability": 0.7986653645833334}, {"start": 2341.89, "end": 2342.43, "word": " كله", "probability": 0.94775390625}, {"start": 2342.43, "end": 2342.59, "word": " بدي", "probability": 0.27197265625}, {"start": 2342.59, "end": 2342.97, "word": " أشيله", "probability": 0.72235107421875}, {"start": 2342.97, "end": 2343.05, "word": " و", "probability": 0.9130859375}, {"start": 2343.05, "end": 2343.37, "word": " أحطه", "probability": 0.739349365234375}, {"start": 2343.37, "end": 2343.97, "word": " بمتغير", "probability": 0.94287109375}, {"start": 2343.97, "end": 2344.51, "word": " جديد", "probability": 0.9871419270833334}, {"start": 2344.51, "end": 2345.33, "word": " وبالتالي", "probability": 0.91298828125}, {"start": 2345.33, "end": 2345.71, "word": " الكلام", "probability": 0.8189290364583334}, {"start": 2345.71, "end": 2346.19, "word": " منطقي", "probability": 0.8486328125}, {"start": 2346.19, "end": 2346.49, "word": " بس", "probability": 0.76611328125}, {"start": 2346.49, "end": 2346.75, "word": " هلأ", "probability": 0.517578125}, {"start": 2346.75, "end": 2347.09, "word": " شوف", "probability": 0.77197265625}, {"start": 2347.09, "end": 2347.33, "word": " ايش", "probability": 0.7073567708333334}, {"start": 2347.33, "end": 2347.47, "word": " اللي", "probability": 0.97998046875}, {"start": 2347.47, "end": 2348.03, "word": " بصير", "probability": 0.8557942708333334}, {"start": 2348.03, "end": 2348.87, "word": " هذه", "probability": 0.461181640625}, {"start": 2348.87, "end": 2349.35, "word": " بقدر", "probability": 0.9705403645833334}, {"start": 2349.35, "end": 2350.03, "word": " اكتبها", "probability": 0.9025390625}, {"start": 2350.03, "end": 2350.95, "word": " تكامل", "probability": 0.9884033203125}, {"start": 2350.95, "end": 2351.37, "word": " E", "probability": 0.7470703125}, {"start": 2351.37, "end": 2351.81, "word": " أس", "probability": 0.5396728515625}, {"start": 2351.81, "end": 2352.23, "word": " X", "probability": 0.9638671875}, {"start": 2352.23, "end": 2352.57, "word": " في", "probability": 0.74658203125}, {"start": 2352.57, "end": 2352.99, "word": " E", "probability": 0.9912109375}, {"start": 2352.99, "end": 2353.35, "word": " أس", "probability": 0.984130859375}, {"start": 2353.35, "end": 2353.79, "word": " X", "probability": 0.9951171875}, {"start": 2353.79, "end": 2354.59, "word": " على", "probability": 0.79296875}, {"start": 2354.59, "end": 2354.97, "word": " E", "probability": 0.9853515625}, {"start": 2354.97, "end": 2355.31, "word": " أس", "probability": 0.97412109375}, {"start": 2355.31, "end": 2355.59, "word": " X", "probability": 0.9873046875}, {"start": 2355.59, "end": 2356.25, "word": " ناقص", "probability": 0.9554443359375}, {"start": 2356.25, "end": 2356.81, "word": " واحد", "probability": 0.919921875}, {"start": 2356.81, "end": 2357.01, "word": " في", "probability": 0.97314453125}, {"start": 2357.01, "end": 2357.57, "word": " DX", "probability": 0.440185546875}, {"start": 2357.57, "end": 2358.83, "word": " بهذا", "probability": 0.9208984375}, {"start": 2358.83, "end": 2359.31, "word": " الشكل", "probability": 0.98779296875}, {"start": 2359.31, "end": 2360.53, "word": " تمام؟", "probability": 0.837890625}], "temperature": 1.0}, {"id": 103, "seek": 238269, "start": 2360.79, "end": 2382.69, "text": "يبقى بداية اقوله حط ال T تساوي E of C T و ال E of C اسمه اكتر اكتر بقالة T زائد ال واحد يبقى بصير تكامل ل T زائد ال واحد و المقام كله حطيته ب T و هذا ضال عندي قداش DT", "tokens": [1829, 3555, 4587, 7578, 4724, 28259, 10632, 1975, 39648, 3224, 11331, 9566, 2423, 314, 6055, 3794, 995, 45865, 462, 295, 383, 314, 4032, 2423, 462, 295, 383, 24525, 2304, 3224, 1975, 4117, 2655, 2288, 1975, 4117, 2655, 2288, 4724, 4587, 6027, 3660, 314, 30767, 16373, 3215, 2423, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 6055, 4117, 10943, 1211, 5296, 314, 30767, 16373, 3215, 2423, 36764, 24401, 4032, 9673, 4587, 10943, 28242, 3224, 11331, 9566, 36081, 3224, 4724, 314, 4032, 23758, 48812, 6027, 18871, 16254, 12174, 3215, 33599, 413, 51], "avg_logprob": -0.35190216030763544, "compression_ratio": 1.7452229299363058, "no_speech_prob": 0.0, "words": [{"start": 2360.79, "end": 2361.31, "word": "يبقى", "probability": 0.843994140625}, {"start": 2361.31, "end": 2361.79, "word": " بداية", "probability": 0.4581298828125}, {"start": 2361.79, "end": 2362.35, "word": " اقوله", "probability": 0.5542805989583334}, {"start": 2362.35, "end": 2362.95, "word": " حط", "probability": 0.760009765625}, {"start": 2362.95, "end": 2363.33, "word": " ال", "probability": 0.71728515625}, {"start": 2363.33, "end": 2363.71, "word": " T", "probability": 0.68359375}, {"start": 2363.71, "end": 2364.63, "word": " تساوي", "probability": 0.82354736328125}, {"start": 2364.63, "end": 2365.01, "word": " E", "probability": 0.8134765625}, {"start": 2365.01, "end": 2365.31, "word": " of", "probability": 0.1475830078125}, {"start": 2365.31, "end": 2365.53, "word": " C", "probability": 0.78955078125}, {"start": 2365.53, "end": 2365.97, "word": " T", "probability": 0.70703125}, {"start": 2365.97, "end": 2366.53, "word": " و", "probability": 0.489013671875}, {"start": 2366.53, "end": 2366.67, "word": " ال", "probability": 0.320556640625}, {"start": 2366.67, "end": 2366.89, "word": " E", "probability": 0.98095703125}, {"start": 2366.89, "end": 2367.03, "word": " of", "probability": 0.90771484375}, {"start": 2367.03, "end": 2367.23, "word": " C", "probability": 0.38818359375}, {"start": 2367.23, "end": 2367.51, "word": " اسمه", "probability": 0.5367024739583334}, {"start": 2367.51, "end": 2367.71, "word": " اكتر", "probability": 0.6024169921875}, {"start": 2367.71, "end": 2367.93, "word": " اكتر", "probability": 0.7645263671875}, {"start": 2367.93, "end": 2368.45, "word": " بقالة", "probability": 0.430633544921875}, {"start": 2368.45, "end": 2369.01, "word": " T", "probability": 0.921875}, {"start": 2369.01, "end": 2370.17, "word": " زائد", "probability": 0.9025065104166666}, {"start": 2370.17, "end": 2370.39, "word": " ال", "probability": 0.65185546875}, {"start": 2370.39, "end": 2370.89, "word": " واحد", "probability": 0.732421875}, {"start": 2370.89, "end": 2371.65, "word": " يبقى", "probability": 0.947509765625}, {"start": 2371.65, "end": 2372.23, "word": " بصير", "probability": 0.7566731770833334}, {"start": 2372.23, "end": 2373.21, "word": " تكامل", "probability": 0.9600830078125}, {"start": 2373.21, "end": 2373.63, "word": " ل", "probability": 0.4619140625}, {"start": 2373.63, "end": 2374.19, "word": " T", "probability": 0.7373046875}, {"start": 2374.19, "end": 2375.33, "word": " زائد", "probability": 0.9567057291666666}, {"start": 2375.33, "end": 2375.51, "word": " ال", "probability": 0.96630859375}, {"start": 2375.51, "end": 2375.87, "word": " واحد", "probability": 0.92236328125}, {"start": 2375.87, "end": 2376.41, "word": " و", "probability": 0.65234375}, {"start": 2376.41, "end": 2377.15, "word": " المقام", "probability": 0.9747721354166666}, {"start": 2377.15, "end": 2377.65, "word": " كله", "probability": 0.982666015625}, {"start": 2377.65, "end": 2378.45, "word": " حطيته", "probability": 0.88134765625}, {"start": 2378.45, "end": 2378.61, "word": " ب", "probability": 0.71923828125}, {"start": 2378.61, "end": 2378.99, "word": " T", "probability": 0.74365234375}, {"start": 2378.99, "end": 2379.59, "word": " و", "probability": 0.6279296875}, {"start": 2379.59, "end": 2379.97, "word": " هذا", "probability": 0.8447265625}, {"start": 2379.97, "end": 2380.31, "word": " ضال", "probability": 0.554931640625}, {"start": 2380.31, "end": 2380.65, "word": " عندي", "probability": 0.901123046875}, {"start": 2380.65, "end": 2381.61, "word": " قداش", "probability": 0.9270833333333334}, {"start": 2381.61, "end": 2382.69, "word": " DT", "probability": 0.5771484375}], "temperature": 1.0}, {"id": 104, "seek": 239365, "start": 2383.17, "end": 2393.65, "text": "أو بمعنى آخر هو integration ل T على T التي هي بواحد زائد واحد على T كله بالنسبة الى DT", "tokens": [10721, 2407, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 31439, 10980, 5296, 314, 15844, 314, 38392, 39896, 4724, 14407, 24401, 30767, 16373, 3215, 36764, 24401, 15844, 314, 28242, 3224, 20666, 1863, 35457, 3660, 2423, 7578, 413, 51], "avg_logprob": -0.29481907188892365, "compression_ratio": 1.2017543859649122, "no_speech_prob": 0.0, "words": [{"start": 2383.17, "end": 2383.53, "word": "أو", "probability": 0.59808349609375}, {"start": 2383.53, "end": 2384.11, "word": " بمعنى", "probability": 0.96845703125}, {"start": 2384.11, "end": 2384.61, "word": " آخر", "probability": 0.740478515625}, {"start": 2384.61, "end": 2385.29, "word": " هو", "probability": 0.75341796875}, {"start": 2385.29, "end": 2386.05, "word": " integration", "probability": 0.88134765625}, {"start": 2386.05, "end": 2386.49, "word": " ل", "probability": 0.4365234375}, {"start": 2386.49, "end": 2386.87, "word": " T", "probability": 0.6494140625}, {"start": 2386.87, "end": 2387.21, "word": " على", "probability": 0.650390625}, {"start": 2387.21, "end": 2387.57, "word": " T", "probability": 0.9345703125}, {"start": 2387.57, "end": 2387.71, "word": " التي", "probability": 0.268310546875}, {"start": 2387.71, "end": 2387.91, "word": " هي", "probability": 0.6962890625}, {"start": 2387.91, "end": 2388.47, "word": " بواحد", "probability": 0.7685546875}, {"start": 2388.47, "end": 2389.49, "word": " زائد", "probability": 0.8050130208333334}, {"start": 2389.49, "end": 2390.17, "word": " واحد", "probability": 0.964599609375}, {"start": 2390.17, "end": 2390.77, "word": " على", "probability": 0.78466796875}, {"start": 2390.77, "end": 2391.57, "word": " T", "probability": 0.93017578125}, {"start": 2391.57, "end": 2392.23, "word": " كله", "probability": 0.94189453125}, {"start": 2392.23, "end": 2392.79, "word": " بالنسبة", "probability": 0.9859619140625}, {"start": 2392.79, "end": 2393.15, "word": " الى", "probability": 0.6005859375}, {"start": 2393.15, "end": 2393.65, "word": " DT", "probability": 0.817138671875}], "temperature": 1.0}, {"id": 105, "seek": 242642, "start": 2398.26, "end": 2426.42, "text": "تكمل الواحد هو ب T و تكمل واحد على T لن absolute value ل T زائد constant C يبقى هذا الكلام بالدرساوي T عمنا فرضه بمان ب EO6 ناقص واحد يبقى EO6 ناقص واحد زائد لن لل EO6 ناقص واحد زائد constant C", "tokens": [2655, 24793, 1211, 2423, 14407, 24401, 31439, 4724, 314, 4032, 6055, 24793, 1211, 36764, 24401, 15844, 314, 5296, 1863, 8236, 2158, 5296, 314, 30767, 16373, 3215, 5754, 383, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 20666, 3215, 2288, 3794, 995, 45865, 314, 6225, 2304, 8315, 6156, 43042, 3224, 4724, 2304, 7649, 4724, 462, 46, 21, 8717, 995, 4587, 9381, 36764, 24401, 7251, 3555, 4587, 7578, 462, 46, 21, 8717, 995, 4587, 9381, 36764, 24401, 30767, 16373, 3215, 5296, 1863, 24976, 462, 46, 21, 8717, 995, 4587, 9381, 36764, 24401, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.23437500543271503, "compression_ratio": 1.7341040462427746, "no_speech_prob": 0.0, "words": [{"start": 2398.26, "end": 2398.94, "word": "تكمل", "probability": 0.7682291666666666}, {"start": 2398.94, "end": 2399.46, "word": " الواحد", "probability": 0.8662109375}, {"start": 2399.46, "end": 2399.78, "word": " هو", "probability": 0.9716796875}, {"start": 2399.78, "end": 2400.04, "word": " ب", "probability": 0.08612060546875}, {"start": 2400.04, "end": 2400.34, "word": " T", "probability": 0.1729736328125}, {"start": 2400.34, "end": 2400.9, "word": " و", "probability": 0.47998046875}, {"start": 2400.9, "end": 2401.48, "word": " تكمل", "probability": 0.90966796875}, {"start": 2401.48, "end": 2401.9, "word": " واحد", "probability": 0.875244140625}, {"start": 2401.9, "end": 2402.28, "word": " على", "probability": 0.8115234375}, {"start": 2402.28, "end": 2402.8, "word": " T", "probability": 0.94384765625}, {"start": 2402.8, "end": 2403.6, "word": " لن", "probability": 0.467529296875}, {"start": 2403.6, "end": 2404.34, "word": " absolute", "probability": 0.595703125}, {"start": 2404.34, "end": 2405.26, "word": " value", "probability": 0.98388671875}, {"start": 2405.26, "end": 2405.5, "word": " ل", "probability": 0.810546875}, {"start": 2405.5, "end": 2405.9, "word": " T", "probability": 0.72216796875}, {"start": 2405.9, "end": 2407.08, "word": " زائد", "probability": 0.7537434895833334}, {"start": 2407.08, "end": 2407.8, "word": " constant", "probability": 0.8017578125}, {"start": 2407.8, "end": 2408.36, "word": " C", "probability": 0.8203125}, {"start": 2408.36, "end": 2409.34, "word": " يبقى", "probability": 0.9476318359375}, {"start": 2409.34, "end": 2409.62, "word": " هذا", "probability": 0.94140625}, {"start": 2409.62, "end": 2410.16, "word": " الكلام", "probability": 0.96044921875}, {"start": 2410.16, "end": 2411.08, "word": " بالدرساوي", "probability": 0.8101806640625}, {"start": 2411.08, "end": 2411.72, "word": " T", "probability": 0.60888671875}, {"start": 2411.72, "end": 2412.2, "word": " عمنا", "probability": 0.5882568359375}, {"start": 2412.2, "end": 2412.7, "word": " فرضه", "probability": 0.779296875}, {"start": 2412.7, "end": 2413.2, "word": " بمان", "probability": 0.6565755208333334}, {"start": 2413.2, "end": 2413.92, "word": " ب", "probability": 0.333251953125}, {"start": 2413.92, "end": 2414.58, "word": " EO6", "probability": 0.6109212239583334}, {"start": 2414.58, "end": 2415.14, "word": " ناقص", "probability": 0.850830078125}, {"start": 2415.14, "end": 2415.58, "word": " واحد", "probability": 0.963134765625}, {"start": 2415.58, "end": 2416.72, "word": " يبقى", "probability": 0.9683837890625}, {"start": 2416.72, "end": 2417.68, "word": " EO6", "probability": 0.9656575520833334}, {"start": 2417.68, "end": 2418.66, "word": " ناقص", "probability": 0.9720458984375}, {"start": 2418.66, "end": 2419.34, "word": " واحد", "probability": 0.987548828125}, {"start": 2419.34, "end": 2420.38, "word": " زائد", "probability": 0.9747721354166666}, {"start": 2420.38, "end": 2420.94, "word": " لن", "probability": 0.892822265625}, {"start": 2420.94, "end": 2421.64, "word": " لل", "probability": 0.58154296875}, {"start": 2421.64, "end": 2422.66, "word": " EO6", "probability": 0.9363606770833334}, {"start": 2422.66, "end": 2423.38, "word": " ناقص", "probability": 0.9930419921875}, {"start": 2423.38, "end": 2424.06, "word": " واحد", "probability": 0.991455078125}, {"start": 2424.06, "end": 2425.26, "word": " زائد", "probability": 0.9759114583333334}, {"start": 2425.26, "end": 2425.88, "word": " constant", "probability": 0.95263671875}, {"start": 2425.88, "end": 2426.42, "word": " C", "probability": 0.966796875}], "temperature": 1.0}, {"id": 106, "seek": 244341, "start": 2427.45, "end": 2443.41, "text": "طلع لي لو كان هذا السؤال في الكتاب و روحنا نشوف إجابته كان فيه إجابة بالكتاب بلّا جهاش بالشك اللي عندنا أنا بتروح تقولي انت و الله حالي غلط، بقولك لأ حالك صح مائة بالمائة، لكن هذا هاها", "tokens": [9566, 1211, 3615, 32239, 45164, 25961, 23758, 21136, 33604, 6027, 8978, 33251, 2655, 16758, 4032, 12602, 2407, 5016, 8315, 8717, 8592, 38688, 11933, 7435, 16758, 47395, 25961, 8978, 3224, 11933, 7435, 16758, 3660, 20666, 4117, 2655, 16758, 4724, 1211, 11703, 995, 10874, 3224, 33599, 20666, 8592, 4117, 13672, 1829, 43242, 8315, 41850, 39894, 32887, 5016, 6055, 39648, 1829, 16472, 2655, 4032, 21984, 11331, 6027, 1829, 32771, 1211, 9566, 12399, 4724, 39648, 4117, 5296, 10721, 11331, 6027, 4117, 20328, 5016, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 12399, 44381, 23758, 8032, 995, 11296], "avg_logprob": -0.2847782399064751, "compression_ratio": 1.8700564971751412, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2427.45, "end": 2428.05, "word": "طلع", "probability": 0.5891927083333334}, {"start": 2428.05, "end": 2428.25, "word": " لي", "probability": 0.467041015625}, {"start": 2428.25, "end": 2428.79, "word": " لو", "probability": 0.68896484375}, {"start": 2428.79, "end": 2429.13, "word": " كان", "probability": 0.986328125}, {"start": 2429.13, "end": 2429.45, "word": " هذا", "probability": 0.94384765625}, {"start": 2429.45, "end": 2430.15, "word": " السؤال", "probability": 0.9905598958333334}, {"start": 2430.15, "end": 2430.39, "word": " في", "probability": 0.93115234375}, {"start": 2430.39, "end": 2431.39, "word": " الكتاب", "probability": 0.9900716145833334}, {"start": 2431.39, "end": 2431.97, "word": " و", "probability": 0.90087890625}, {"start": 2431.97, "end": 2432.41, "word": " روحنا", "probability": 0.8172607421875}, {"start": 2432.41, "end": 2433.03, "word": " نشوف", "probability": 0.9959309895833334}, {"start": 2433.03, "end": 2433.83, "word": " إجابته", "probability": 0.9443359375}, {"start": 2433.83, "end": 2434.09, "word": " كان", "probability": 0.9501953125}, {"start": 2434.09, "end": 2434.35, "word": " فيه", "probability": 0.95654296875}, {"start": 2434.35, "end": 2434.67, "word": " إجابة", "probability": 0.7283935546875}, {"start": 2434.67, "end": 2435.03, "word": " بالكتاب", "probability": 0.814453125}, {"start": 2435.03, "end": 2435.29, "word": " بلّا", "probability": 0.53570556640625}, {"start": 2435.29, "end": 2435.61, "word": " جهاش", "probability": 0.8689778645833334}, {"start": 2435.61, "end": 2436.03, "word": " بالشك", "probability": 0.6541341145833334}, {"start": 2436.03, "end": 2436.15, "word": " اللي", "probability": 0.9296875}, {"start": 2436.15, "end": 2436.59, "word": " عندنا", "probability": 0.902099609375}, {"start": 2436.59, "end": 2436.77, "word": " أنا", "probability": 0.1810302734375}, {"start": 2436.77, "end": 2437.63, "word": " بتروح", "probability": 0.8077799479166666}, {"start": 2437.63, "end": 2438.01, "word": " تقولي", "probability": 0.6402180989583334}, {"start": 2438.01, "end": 2438.21, "word": " انت", "probability": 0.7418212890625}, {"start": 2438.21, "end": 2438.61, "word": " و", "probability": 0.2012939453125}, {"start": 2438.61, "end": 2438.79, "word": " الله", "probability": 0.95263671875}, {"start": 2438.79, "end": 2439.15, "word": " حالي", "probability": 0.68994140625}, {"start": 2439.15, "end": 2439.53, "word": " غلط،", "probability": 0.84185791015625}, {"start": 2439.53, "end": 2439.87, "word": " بقولك", "probability": 0.7722981770833334}, {"start": 2439.87, "end": 2440.03, "word": " لأ", "probability": 0.6849365234375}, {"start": 2440.03, "end": 2440.37, "word": " حالك", "probability": 0.9765625}, {"start": 2440.37, "end": 2440.67, "word": " صح", "probability": 0.997802734375}, {"start": 2440.67, "end": 2440.97, "word": " مائة", "probability": 0.7552083333333334}, {"start": 2440.97, "end": 2441.99, "word": " بالمائة،", "probability": 0.908203125}, {"start": 2441.99, "end": 2442.39, "word": " لكن", "probability": 0.974609375}, {"start": 2442.39, "end": 2442.95, "word": " هذا", "probability": 0.91748046875}, {"start": 2442.95, "end": 2443.41, "word": " هاها", "probability": 0.6909993489583334}], "temperature": 1.0}, {"id": 107, "seek": 245885, "start": 2444.37, "end": 2458.85, "text": "وهذا اتنين كل استنث يبقى ايش ده اقول اتنين كل استنث و بيكفنه كل استنث واحد يبقى بشيل اتنين مكان بعض مع بعض و بحط بدل ما كل استنث واحد يبقى الجواب يسوي 6", "tokens": [2407, 3224, 15730, 1975, 2655, 1863, 9957, 28242, 44713, 1863, 12984, 7251, 3555, 4587, 7578, 1975, 1829, 8592, 11778, 3224, 1975, 39648, 1975, 2655, 1863, 9957, 28242, 44713, 1863, 12984, 4032, 4724, 1829, 4117, 5172, 1863, 3224, 28242, 44713, 1863, 12984, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 8592, 26895, 1975, 2655, 1863, 9957, 3714, 41361, 45030, 11242, 20449, 45030, 11242, 4032, 4724, 5016, 9566, 47525, 1211, 19446, 28242, 44713, 1863, 12984, 36764, 24401, 7251, 3555, 4587, 7578, 25724, 14407, 3555, 7251, 3794, 45865, 1386], "avg_logprob": -0.3541060918292334, "compression_ratio": 2.076923076923077, "no_speech_prob": 0.0, "words": [{"start": 2444.37, "end": 2445.19, "word": "وهذا", "probability": 0.5646158854166666}, {"start": 2445.19, "end": 2446.01, "word": " اتنين", "probability": 0.8563232421875}, {"start": 2446.01, "end": 2446.25, "word": " كل", "probability": 0.8740234375}, {"start": 2446.25, "end": 2446.87, "word": " استنث", "probability": 0.2820027669270833}, {"start": 2446.87, "end": 2447.59, "word": " يبقى", "probability": 0.61676025390625}, {"start": 2447.59, "end": 2447.71, "word": " ايش", "probability": 0.6663411458333334}, {"start": 2447.71, "end": 2447.91, "word": " ده", "probability": 0.829833984375}, {"start": 2447.91, "end": 2448.13, "word": " اقول", "probability": 0.712646484375}, {"start": 2448.13, "end": 2448.57, "word": " اتنين", "probability": 0.9736328125}, {"start": 2448.57, "end": 2448.67, "word": " كل", "probability": 0.890625}, {"start": 2448.67, "end": 2448.69, "word": " استنث", "probability": 0.8328450520833334}, {"start": 2448.69, "end": 2448.79, "word": " و", "probability": 0.2298583984375}, {"start": 2448.79, "end": 2449.27, "word": " بيكفنه", "probability": 0.53125}, {"start": 2449.27, "end": 2449.39, "word": " كل", "probability": 0.5400390625}, {"start": 2449.39, "end": 2449.77, "word": " استنث", "probability": 0.9635416666666666}, {"start": 2449.77, "end": 2450.13, "word": " واحد", "probability": 0.98388671875}, {"start": 2450.13, "end": 2450.61, "word": " يبقى", "probability": 0.7769775390625}, {"start": 2450.61, "end": 2451.01, "word": " بشيل", "probability": 0.8440755208333334}, {"start": 2451.01, "end": 2451.63, "word": " اتنين", "probability": 0.96533203125}, {"start": 2451.63, "end": 2452.01, "word": " مكان", "probability": 0.861083984375}, {"start": 2452.01, "end": 2452.53, "word": " بعض", "probability": 0.947265625}, {"start": 2452.53, "end": 2453.07, "word": " مع", "probability": 0.9765625}, {"start": 2453.07, "end": 2453.53, "word": " بعض", "probability": 0.99462890625}, {"start": 2453.53, "end": 2453.69, "word": " و", "probability": 0.61865234375}, {"start": 2453.69, "end": 2454.09, "word": " بحط", "probability": 0.8880208333333334}, {"start": 2454.09, "end": 2454.37, "word": " بدل", "probability": 0.861328125}, {"start": 2454.37, "end": 2454.55, "word": " ما", "probability": 0.625}, {"start": 2454.55, "end": 2455.13, "word": " كل", "probability": 0.39501953125}, {"start": 2455.13, "end": 2455.55, "word": " استنث", "probability": 0.9715169270833334}, {"start": 2455.55, "end": 2455.89, "word": " واحد", "probability": 0.979248046875}, {"start": 2455.89, "end": 2456.79, "word": " يبقى", "probability": 0.967041015625}, {"start": 2456.79, "end": 2457.41, "word": " الجواب", "probability": 0.9544270833333334}, {"start": 2457.41, "end": 2458.21, "word": " يسوي", "probability": 0.5489908854166666}, {"start": 2458.21, "end": 2458.85, "word": " 6", "probability": 0.1453857421875}], "temperature": 1.0}, {"id": 108, "seek": 248152, "start": 2459.44, "end": 2481.52, "text": "زائد لن absolute value of EO6-1 زائد كمصطند C1 والـ C1 بدّي يساوي C-1 يبقى لو روحت على الكتاب بتلاقي الإجابة هذه وبتلاقيش الإجابة اللي منها أوفر حاجة بدي أسألك سؤال؟", "tokens": [11622, 16373, 3215, 5296, 1863, 8236, 2158, 295, 462, 46, 21, 12, 16, 30767, 16373, 3215, 9122, 2304, 9381, 9566, 1863, 3215, 383, 16, 16070, 39184, 383, 16, 47525, 11703, 1829, 7251, 3794, 995, 45865, 383, 12, 16, 7251, 3555, 4587, 7578, 45164, 12602, 2407, 33753, 15844, 33251, 2655, 16758, 39894, 15040, 38436, 33688, 7435, 16758, 3660, 29538, 4032, 3555, 2655, 15040, 38436, 8592, 33688, 7435, 16758, 3660, 13672, 1829, 9154, 11296, 34051, 5172, 2288, 11331, 26108, 3660, 4724, 16254, 5551, 3794, 10721, 23275, 8608, 33604, 6027, 22807], "avg_logprob": -0.3707865168539326, "compression_ratio": 1.452127659574468, "no_speech_prob": 0.0, "words": [{"start": 2459.44, "end": 2460.36, "word": "زائد", "probability": 0.5921223958333334}, {"start": 2460.36, "end": 2460.84, "word": " لن", "probability": 0.43255615234375}, {"start": 2460.84, "end": 2461.52, "word": " absolute", "probability": 0.75732421875}, {"start": 2461.52, "end": 2462.26, "word": " value", "probability": 0.98193359375}, {"start": 2462.26, "end": 2462.4, "word": " of", "probability": 0.1875}, {"start": 2462.4, "end": 2463.04, "word": " EO6", "probability": 0.69677734375}, {"start": 2463.04, "end": 2464.0, "word": "-1", "probability": 0.616943359375}, {"start": 2464.0, "end": 2464.92, "word": " زائد", "probability": 0.7320149739583334}, {"start": 2464.92, "end": 2465.7, "word": " كمصطند", "probability": 0.650634765625}, {"start": 2465.7, "end": 2466.44, "word": " C1", "probability": 0.88916015625}, {"start": 2466.44, "end": 2467.18, "word": " والـ", "probability": 0.5467529296875}, {"start": 2467.18, "end": 2467.74, "word": " C1", "probability": 0.8486328125}, {"start": 2467.74, "end": 2468.2, "word": " بدّي", "probability": 0.3568115234375}, {"start": 2468.2, "end": 2468.62, "word": " يساوي", "probability": 0.8140869140625}, {"start": 2468.62, "end": 2469.14, "word": " C", "probability": 0.5703125}, {"start": 2469.14, "end": 2471.0, "word": "-1", "probability": 0.766357421875}, {"start": 2471.0, "end": 2471.7, "word": " يبقى", "probability": 0.67266845703125}, {"start": 2471.7, "end": 2471.9, "word": " لو", "probability": 0.92431640625}, {"start": 2471.9, "end": 2472.22, "word": " روحت", "probability": 0.8974609375}, {"start": 2472.22, "end": 2472.38, "word": " على", "probability": 0.6689453125}, {"start": 2472.38, "end": 2472.9, "word": " الكتاب", "probability": 0.98681640625}, {"start": 2472.9, "end": 2473.44, "word": " بتلاقي", "probability": 0.79638671875}, {"start": 2473.44, "end": 2474.1, "word": " الإجابة", "probability": 0.96044921875}, {"start": 2474.1, "end": 2474.46, "word": " هذه", "probability": 0.69970703125}, {"start": 2474.46, "end": 2475.5, "word": " وبتلاقيش", "probability": 0.7718098958333334}, {"start": 2475.5, "end": 2476.48, "word": " الإجابة", "probability": 0.9869384765625}, {"start": 2476.48, "end": 2476.8, "word": " اللي", "probability": 0.931640625}, {"start": 2476.8, "end": 2477.46, "word": " منها", "probability": 0.995849609375}, {"start": 2477.46, "end": 2478.08, "word": " أوفر", "probability": 0.56195068359375}, {"start": 2478.08, "end": 2480.44, "word": " حاجة", "probability": 0.8045247395833334}, {"start": 2480.44, "end": 2480.62, "word": " بدي", "probability": 0.3985595703125}, {"start": 2480.62, "end": 2480.86, "word": " أسألك", "probability": 0.66241455078125}, {"start": 2480.86, "end": 2481.52, "word": " سؤال؟", "probability": 0.9337158203125}], "temperature": 1.0}, {"id": 109, "seek": 250594, "start": 2482.63, "end": 2505.95, "text": "عطيك سؤال مشابه بس بفكرة أحلى شوية كمان يبقى هاي سؤال خمسة بدنا تكامل لمين لواحد على واحد زائد ديو سيكس دي إكس يالا فكر فيه واقترح علينا كيف نحل هذا السؤال", "tokens": [3615, 9566, 1829, 4117, 8608, 33604, 6027, 37893, 16758, 3224, 4724, 3794, 4724, 5172, 4117, 25720, 5551, 5016, 23942, 13412, 2407, 10632, 9122, 2304, 7649, 7251, 3555, 4587, 7578, 8032, 47302, 8608, 33604, 6027, 16490, 2304, 3794, 3660, 47525, 8315, 6055, 4117, 10943, 1211, 5296, 2304, 9957, 5296, 14407, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 11778, 1829, 2407, 8608, 1829, 4117, 3794, 11778, 1829, 11933, 4117, 3794, 7251, 6027, 995, 6156, 37983, 8978, 3224, 36764, 38149, 2288, 5016, 25894, 8315, 9122, 33911, 8717, 5016, 1211, 23758, 21136, 33604, 6027], "avg_logprob": -0.20896291667288477, "compression_ratio": 1.6607142857142858, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 2482.63, "end": 2483.13, "word": "عطيك", "probability": 0.760833740234375}, {"start": 2483.13, "end": 2483.43, "word": " سؤال", "probability": 0.9959309895833334}, {"start": 2483.43, "end": 2484.17, "word": " مشابه", "probability": 0.982421875}, {"start": 2484.17, "end": 2484.97, "word": " بس", "probability": 0.86865234375}, {"start": 2484.97, "end": 2485.43, "word": " بفكرة", "probability": 0.8192138671875}, {"start": 2485.43, "end": 2485.79, "word": " أحلى", "probability": 0.85986328125}, {"start": 2485.79, "end": 2486.23, "word": " شوية", "probability": 0.9251302083333334}, {"start": 2486.23, "end": 2486.71, "word": " كمان", "probability": 0.89599609375}, {"start": 2486.71, "end": 2487.87, "word": " يبقى", "probability": 0.8841552734375}, {"start": 2487.87, "end": 2488.29, "word": " هاي", "probability": 0.75634765625}, {"start": 2488.29, "end": 2489.25, "word": " سؤال", "probability": 0.9173177083333334}, {"start": 2489.25, "end": 2490.05, "word": " خمسة", "probability": 0.87646484375}, {"start": 2490.05, "end": 2491.19, "word": " بدنا", "probability": 0.84814453125}, {"start": 2491.19, "end": 2492.21, "word": " تكامل", "probability": 0.98095703125}, {"start": 2492.21, "end": 2493.23, "word": " لمين", "probability": 0.72412109375}, {"start": 2493.23, "end": 2494.21, "word": " لواحد", "probability": 0.70703125}, {"start": 2494.21, "end": 2494.53, "word": " على", "probability": 0.7724609375}, {"start": 2494.53, "end": 2495.15, "word": " واحد", "probability": 0.98388671875}, {"start": 2495.15, "end": 2495.89, "word": " زائد", "probability": 0.91259765625}, {"start": 2495.89, "end": 2496.41, "word": " ديو", "probability": 0.4725443522135417}, {"start": 2496.41, "end": 2496.97, "word": " سيكس", "probability": 0.85595703125}, {"start": 2496.97, "end": 2497.19, "word": " دي", "probability": 0.893310546875}, {"start": 2497.19, "end": 2497.57, "word": " إكس", "probability": 0.8479817708333334}, {"start": 2497.57, "end": 2501.13, "word": " يالا", "probability": 0.6559244791666666}, {"start": 2501.13, "end": 2501.55, "word": " فكر", "probability": 0.90234375}, {"start": 2501.55, "end": 2502.03, "word": " فيه", "probability": 0.978759765625}, {"start": 2502.03, "end": 2503.03, "word": " واقترح", "probability": 0.76177978515625}, {"start": 2503.03, "end": 2503.57, "word": " علينا", "probability": 0.890625}, {"start": 2503.57, "end": 2503.87, "word": " كيف", "probability": 0.97705078125}, {"start": 2503.87, "end": 2504.49, "word": " نحل", "probability": 0.9744466145833334}, {"start": 2504.49, "end": 2505.01, "word": " هذا", "probability": 0.85986328125}, {"start": 2505.01, "end": 2505.95, "word": " السؤال", "probability": 0.9972330729166666}], "temperature": 1.0}, {"id": 110, "seek": 254050, "start": 2515.72, "end": 2540.5, "text": "هي يا شباب نضرب E Os X علي E Os X بس أنا عندي E Os X علي E Os X زي E Os 2X ايش استفدنا منها فكرته صح بس انا بتصليح حاله بدل ما تضرب في E Os X هضرب في E Os ناقص X و اجسم علي E Os ناقص X", "tokens": [3224, 1829, 35186, 13412, 3555, 16758, 8717, 11242, 25513, 462, 8875, 1783, 25894, 462, 8875, 1783, 4724, 3794, 41850, 18871, 16254, 462, 8875, 1783, 25894, 462, 8875, 1783, 30767, 1829, 462, 8875, 568, 55, 1975, 1829, 8592, 44713, 5172, 3215, 8315, 9154, 11296, 6156, 4117, 43500, 3224, 20328, 5016, 4724, 3794, 1975, 8315, 39894, 9381, 20292, 5016, 11331, 6027, 3224, 47525, 1211, 19446, 6055, 11242, 25513, 8978, 462, 8875, 1783, 8032, 11242, 25513, 8978, 462, 8875, 8717, 995, 4587, 9381, 1783, 4032, 1975, 7435, 38251, 25894, 462, 8875, 8717, 995, 4587, 9381, 1783], "avg_logprob": -0.2526595693953494, "compression_ratio": 1.8193548387096774, "no_speech_prob": 0.0, "words": [{"start": 2515.72, "end": 2516.06, "word": "هي", "probability": 0.500732421875}, {"start": 2516.06, "end": 2516.14, "word": " يا", "probability": 0.67236328125}, {"start": 2516.14, "end": 2516.66, "word": " شباب", "probability": 0.9571940104166666}, {"start": 2516.66, "end": 2519.82, "word": " نضرب", "probability": 0.6638590494791666}, {"start": 2519.82, "end": 2520.12, "word": " E", "probability": 0.56640625}, {"start": 2520.12, "end": 2520.36, "word": " Os", "probability": 0.063720703125}, {"start": 2520.36, "end": 2520.64, "word": " X", "probability": 0.83203125}, {"start": 2520.64, "end": 2520.84, "word": " علي", "probability": 0.2822265625}, {"start": 2520.84, "end": 2521.04, "word": " E", "probability": 0.97509765625}, {"start": 2521.04, "end": 2521.24, "word": " Os", "probability": 0.96142578125}, {"start": 2521.24, "end": 2521.6, "word": " X", "probability": 0.9609375}, {"start": 2521.6, "end": 2523.24, "word": " بس", "probability": 0.773193359375}, {"start": 2523.24, "end": 2523.42, "word": " أنا", "probability": 0.1934814453125}, {"start": 2523.42, "end": 2523.7, "word": " عندي", "probability": 0.7315673828125}, {"start": 2523.7, "end": 2523.94, "word": " E", "probability": 0.97265625}, {"start": 2523.94, "end": 2524.2, "word": " Os", "probability": 0.95263671875}, {"start": 2524.2, "end": 2524.54, "word": " X", "probability": 0.95458984375}, {"start": 2524.54, "end": 2524.76, "word": " علي", "probability": 0.896484375}, {"start": 2524.76, "end": 2524.96, "word": " E", "probability": 0.99365234375}, {"start": 2524.96, "end": 2525.14, "word": " Os", "probability": 0.984375}, {"start": 2525.14, "end": 2525.38, "word": " X", "probability": 0.94580078125}, {"start": 2525.38, "end": 2525.66, "word": " زي", "probability": 0.870849609375}, {"start": 2525.66, "end": 2526.1, "word": " E", "probability": 0.93017578125}, {"start": 2526.1, "end": 2526.66, "word": " Os", "probability": 0.55712890625}, {"start": 2526.66, "end": 2527.84, "word": " 2X", "probability": 0.72802734375}, {"start": 2527.84, "end": 2529.1, "word": " ايش", "probability": 0.64111328125}, {"start": 2529.1, "end": 2529.56, "word": " استفدنا", "probability": 0.912109375}, {"start": 2529.56, "end": 2530.12, "word": " منها", "probability": 0.98193359375}, {"start": 2530.12, "end": 2532.16, "word": " فكرته", "probability": 0.747314453125}, {"start": 2532.16, "end": 2532.5, "word": " صح", "probability": 0.9931640625}, {"start": 2532.5, "end": 2532.84, "word": " بس", "probability": 0.94091796875}, {"start": 2532.84, "end": 2532.98, "word": " انا", "probability": 0.7081298828125}, {"start": 2532.98, "end": 2533.56, "word": " بتصليح", "probability": 0.7716064453125}, {"start": 2533.56, "end": 2534.12, "word": " حاله", "probability": 0.91455078125}, {"start": 2534.12, "end": 2534.74, "word": " بدل", "probability": 0.97412109375}, {"start": 2534.74, "end": 2534.88, "word": " ما", "probability": 0.826171875}, {"start": 2534.88, "end": 2535.26, "word": " تضرب", "probability": 0.9889322916666666}, {"start": 2535.26, "end": 2535.4, "word": " في", "probability": 0.89892578125}, {"start": 2535.4, "end": 2535.54, "word": " E", "probability": 0.52587890625}, {"start": 2535.54, "end": 2535.72, "word": " Os", "probability": 0.97119140625}, {"start": 2535.72, "end": 2535.92, "word": " X", "probability": 0.939453125}, {"start": 2535.92, "end": 2536.28, "word": " هضرب", "probability": 0.794189453125}, {"start": 2536.28, "end": 2536.62, "word": " في", "probability": 0.96435546875}, {"start": 2536.62, "end": 2536.9, "word": " E", "probability": 0.99169921875}, {"start": 2536.9, "end": 2537.36, "word": " Os", "probability": 0.9384765625}, {"start": 2537.36, "end": 2537.96, "word": " ناقص", "probability": 0.81561279296875}, {"start": 2537.96, "end": 2538.4, "word": " X", "probability": 0.99072265625}, {"start": 2538.4, "end": 2538.92, "word": " و", "probability": 0.6796875}, {"start": 2538.92, "end": 2539.24, "word": " اجسم", "probability": 0.680419921875}, {"start": 2539.24, "end": 2539.46, "word": " علي", "probability": 0.83203125}, {"start": 2539.46, "end": 2539.66, "word": " E", "probability": 0.92724609375}, {"start": 2539.66, "end": 2539.84, "word": " Os", "probability": 0.9736328125}, {"start": 2539.84, "end": 2540.22, "word": " ناقص", "probability": 0.9873046875}, {"start": 2540.22, "end": 2540.5, "word": " X", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 111, "seek": 256848, "start": 2540.92, "end": 2568.48, "text": "كأنني ضرب في جداش في واحد صحيح هذه بتحل الإشكالية كيف لو روحت ضربت في E أس سالب X و بسمت على E أس سالب X يبقى كأنني ضرب في جداش في واحد صحيح يبقى هذه بصير integration ل E أس سالب X في DX على ال E أس سالب X E أس X في E أس سالب X و E أس Zero في جداش بواحد", "tokens": [4117, 33456, 22653, 48812, 25513, 8978, 10874, 3215, 33599, 8978, 36764, 24401, 20328, 5016, 1829, 5016, 29538, 39894, 5016, 1211, 33688, 8592, 4117, 6027, 10632, 9122, 33911, 45164, 12602, 2407, 33753, 48812, 25513, 2655, 8978, 462, 5551, 3794, 8608, 6027, 3555, 1783, 4032, 4724, 38251, 2655, 15844, 462, 5551, 3794, 8608, 6027, 3555, 1783, 7251, 3555, 4587, 7578, 9122, 33456, 22653, 48812, 25513, 8978, 10874, 3215, 33599, 8978, 36764, 24401, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 29538, 4724, 9381, 13546, 10980, 5296, 462, 5551, 3794, 8608, 6027, 3555, 1783, 8978, 48817, 15844, 2423, 462, 5551, 3794, 8608, 6027, 3555, 1783, 462, 5551, 3794, 1783, 8978, 462, 5551, 3794, 8608, 6027, 3555, 1783, 4032, 462, 5551, 3794, 17182, 8978, 10874, 3215, 33599, 4724, 14407, 24401], "avg_logprob": -0.23548228698452628, "compression_ratio": 2.1861702127659575, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2540.92, "end": 2541.3, "word": "كأنني", "probability": 0.3085530598958333}, {"start": 2541.3, "end": 2541.48, "word": " ضرب", "probability": 0.781494140625}, {"start": 2541.48, "end": 2541.64, "word": " في", "probability": 0.85107421875}, {"start": 2541.64, "end": 2542.1, "word": " جداش", "probability": 0.7879231770833334}, {"start": 2542.1, "end": 2542.8, "word": " في", "probability": 0.44970703125}, {"start": 2542.8, "end": 2543.0, "word": " واحد", "probability": 0.92578125}, {"start": 2543.0, "end": 2543.3, "word": " صحيح", "probability": 0.847900390625}, {"start": 2543.3, "end": 2543.54, "word": " هذه", "probability": 0.1396484375}, {"start": 2543.54, "end": 2544.12, "word": " بتحل", "probability": 0.7194010416666666}, {"start": 2544.12, "end": 2545.06, "word": " الإشكالية", "probability": 0.8236328125}, {"start": 2545.06, "end": 2545.62, "word": " كيف", "probability": 0.71484375}, {"start": 2545.62, "end": 2546.5, "word": " لو", "probability": 0.6162109375}, {"start": 2546.5, "end": 2546.9, "word": " روحت", "probability": 0.88671875}, {"start": 2546.9, "end": 2547.62, "word": " ضربت", "probability": 0.95263671875}, {"start": 2547.62, "end": 2547.94, "word": " في", "probability": 0.888671875}, {"start": 2547.94, "end": 2548.26, "word": " E", "probability": 0.41064453125}, {"start": 2548.26, "end": 2548.64, "word": " أس", "probability": 0.41015625}, {"start": 2548.64, "end": 2549.1, "word": " سالب", "probability": 0.8453776041666666}, {"start": 2549.1, "end": 2549.48, "word": " X", "probability": 0.90283203125}, {"start": 2549.48, "end": 2549.7, "word": " و", "probability": 0.6494140625}, {"start": 2549.7, "end": 2550.4, "word": " بسمت", "probability": 0.8388671875}, {"start": 2550.4, "end": 2550.7, "word": " على", "probability": 0.90380859375}, {"start": 2550.7, "end": 2551.02, "word": " E", "probability": 0.96435546875}, {"start": 2551.02, "end": 2551.3, "word": " أس", "probability": 0.97607421875}, {"start": 2551.3, "end": 2551.68, "word": " سالب", "probability": 0.95947265625}, {"start": 2551.68, "end": 2551.98, "word": " X", "probability": 0.990234375}, {"start": 2551.98, "end": 2552.62, "word": " يبقى", "probability": 0.9073486328125}, {"start": 2552.62, "end": 2552.98, "word": " كأنني", "probability": 0.6064453125}, {"start": 2552.98, "end": 2553.16, "word": " ضرب", "probability": 0.971435546875}, {"start": 2553.16, "end": 2553.34, "word": " في", "probability": 0.943359375}, {"start": 2553.34, "end": 2553.94, "word": " جداش", "probability": 0.9874674479166666}, {"start": 2553.94, "end": 2554.4, "word": " في", "probability": 0.482666015625}, {"start": 2554.4, "end": 2554.8, "word": " واحد", "probability": 0.995361328125}, {"start": 2554.8, "end": 2555.38, "word": " صحيح", "probability": 0.9930419921875}, {"start": 2555.38, "end": 2556.18, "word": " يبقى", "probability": 0.982177734375}, {"start": 2556.18, "end": 2556.42, "word": " هذه", "probability": 0.58447265625}, {"start": 2556.42, "end": 2556.78, "word": " بصير", "probability": 0.7322591145833334}, {"start": 2556.78, "end": 2557.58, "word": " integration", "probability": 0.86767578125}, {"start": 2557.58, "end": 2558.06, "word": " ل", "probability": 0.76171875}, {"start": 2558.06, "end": 2558.34, "word": " E", "probability": 0.87841796875}, {"start": 2558.34, "end": 2558.76, "word": " أس", "probability": 0.976318359375}, {"start": 2558.76, "end": 2559.24, "word": " سالب", "probability": 0.9814453125}, {"start": 2559.24, "end": 2559.6, "word": " X", "probability": 0.99072265625}, {"start": 2559.6, "end": 2559.8, "word": " في", "probability": 0.94091796875}, {"start": 2559.8, "end": 2560.44, "word": " DX", "probability": 0.67138671875}, {"start": 2560.44, "end": 2561.36, "word": " على", "probability": 0.84912109375}, {"start": 2561.36, "end": 2561.64, "word": " ال", "probability": 0.439208984375}, {"start": 2561.64, "end": 2561.9, "word": " E", "probability": 0.98193359375}, {"start": 2561.9, "end": 2562.32, "word": " أس", "probability": 0.983154296875}, {"start": 2562.32, "end": 2562.72, "word": " سالب", "probability": 0.97509765625}, {"start": 2562.72, "end": 2562.98, "word": " X", "probability": 0.994140625}, {"start": 2562.98, "end": 2563.28, "word": " E", "probability": 0.9228515625}, {"start": 2563.28, "end": 2563.72, "word": " أس", "probability": 0.982421875}, {"start": 2563.72, "end": 2563.98, "word": " X", "probability": 0.572265625}, {"start": 2563.98, "end": 2564.18, "word": " في", "probability": 0.8916015625}, {"start": 2564.18, "end": 2564.44, "word": " E", "probability": 0.9921875}, {"start": 2564.44, "end": 2564.6, "word": " أس", "probability": 0.99267578125}, {"start": 2564.6, "end": 2564.9, "word": " سالب", "probability": 0.9130859375}, {"start": 2564.9, "end": 2565.12, "word": " X", "probability": 0.99365234375}, {"start": 2565.12, "end": 2565.28, "word": " و", "probability": 0.34326171875}, {"start": 2565.28, "end": 2565.4, "word": " E", "probability": 0.80224609375}, {"start": 2565.4, "end": 2565.78, "word": " أس", "probability": 0.9794921875}, {"start": 2565.78, "end": 2565.98, "word": " Zero", "probability": 0.482421875}, {"start": 2565.98, "end": 2566.2, "word": " في", "probability": 0.55029296875}, {"start": 2566.2, "end": 2566.92, "word": " جداش", "probability": 0.9641927083333334}, {"start": 2566.92, "end": 2568.48, "word": " بواحد", "probability": 0.87841796875}], "temperature": 1.0}, {"id": 112, "seek": 259292, "start": 2569.03, "end": 2592.93, "text": "طب هل ال bus هو تفاضل المقام؟ بس بده إشارة قداش؟ سالب، لو في إشارة سالب في ال bus ما أصبح ال bus هو مشتقة المقام، يقولك بسيطة هاي سالب برا وهاي سالب جوا على إيه السلب X زائد واحد في الدرجة X على ال bus هو مشتقة؟", "tokens": [9566, 3555, 8032, 1211, 2423, 1255, 31439, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 22807, 4724, 3794, 47525, 3224, 11933, 8592, 9640, 3660, 12174, 3215, 33599, 22807, 8608, 6027, 3555, 12399, 45164, 8978, 11933, 8592, 9640, 3660, 8608, 6027, 3555, 8978, 2423, 1255, 19446, 5551, 9381, 49628, 2423, 1255, 31439, 37893, 2655, 28671, 9673, 4587, 10943, 12399, 7251, 39648, 4117, 4724, 3794, 1829, 9566, 3660, 8032, 47302, 8608, 6027, 3555, 4724, 23557, 37037, 47302, 8608, 6027, 3555, 10874, 14407, 15844, 11933, 1829, 3224, 21136, 46152, 1783, 30767, 16373, 3215, 36764, 24401, 8978, 32748, 47341, 3660, 1783, 15844, 2423, 1255, 31439, 37893, 2655, 28671, 22807], "avg_logprob": -0.23035713604518346, "compression_ratio": 1.9513513513513514, "no_speech_prob": 0.0, "words": [{"start": 2569.03, "end": 2569.33, "word": "طب", "probability": 0.518463134765625}, {"start": 2569.33, "end": 2569.63, "word": " هل", "probability": 0.94921875}, {"start": 2569.63, "end": 2569.81, "word": " ال", "probability": 0.9375}, {"start": 2569.81, "end": 2570.01, "word": " bus", "probability": 0.77734375}, {"start": 2570.01, "end": 2570.29, "word": " هو", "probability": 0.9736328125}, {"start": 2570.29, "end": 2571.01, "word": " تفاضل", "probability": 0.9737548828125}, {"start": 2571.01, "end": 2572.21, "word": " المقام؟", "probability": 0.903564453125}, {"start": 2572.21, "end": 2574.11, "word": " بس", "probability": 0.7349853515625}, {"start": 2574.11, "end": 2574.37, "word": " بده", "probability": 0.57958984375}, {"start": 2574.37, "end": 2574.79, "word": " إشارة", "probability": 0.911865234375}, {"start": 2574.79, "end": 2575.57, "word": " قداش؟", "probability": 0.7088623046875}, {"start": 2575.57, "end": 2576.33, "word": " سالب،", "probability": 0.77239990234375}, {"start": 2576.33, "end": 2576.53, "word": " لو", "probability": 0.96484375}, {"start": 2576.53, "end": 2576.79, "word": " في", "probability": 0.865234375}, {"start": 2576.79, "end": 2577.31, "word": " إشارة", "probability": 0.9173583984375}, {"start": 2577.31, "end": 2577.65, "word": " سالب", "probability": 0.8351236979166666}, {"start": 2577.65, "end": 2577.75, "word": " في", "probability": 0.57763671875}, {"start": 2577.75, "end": 2577.81, "word": " ال", "probability": 0.9814453125}, {"start": 2577.81, "end": 2578.01, "word": " bus", "probability": 0.962890625}, {"start": 2578.01, "end": 2578.25, "word": " ما", "probability": 0.253662109375}, {"start": 2578.25, "end": 2578.77, "word": " أصبح", "probability": 0.9796549479166666}, {"start": 2578.77, "end": 2578.99, "word": " ال", "probability": 0.9716796875}, {"start": 2578.99, "end": 2579.25, "word": " bus", "probability": 0.978515625}, {"start": 2579.25, "end": 2579.81, "word": " هو", "probability": 0.9609375}, {"start": 2579.81, "end": 2580.47, "word": " مشتقة", "probability": 0.90966796875}, {"start": 2580.47, "end": 2581.23, "word": " المقام،", "probability": 0.84906005859375}, {"start": 2581.23, "end": 2581.65, "word": " يقولك", "probability": 0.7950846354166666}, {"start": 2581.65, "end": 2582.79, "word": " بسيطة", "probability": 0.9830078125}, {"start": 2582.79, "end": 2583.13, "word": " هاي", "probability": 0.558837890625}, {"start": 2583.13, "end": 2583.61, "word": " سالب", "probability": 0.9900716145833334}, {"start": 2583.61, "end": 2584.09, "word": " برا", "probability": 0.938720703125}, {"start": 2584.09, "end": 2584.97, "word": " وهاي", "probability": 0.5831298828125}, {"start": 2584.97, "end": 2585.69, "word": " سالب", "probability": 0.9951171875}, {"start": 2585.69, "end": 2586.33, "word": " جوا", "probability": 0.906982421875}, {"start": 2586.33, "end": 2587.19, "word": " على", "probability": 0.71240234375}, {"start": 2587.19, "end": 2587.73, "word": " إيه", "probability": 0.7238362630208334}, {"start": 2587.73, "end": 2588.29, "word": " السلب", "probability": 0.648193359375}, {"start": 2588.29, "end": 2588.67, "word": " X", "probability": 0.4365234375}, {"start": 2588.67, "end": 2589.25, "word": " زائد", "probability": 0.8194986979166666}, {"start": 2589.25, "end": 2589.81, "word": " واحد", "probability": 0.8896484375}, {"start": 2589.81, "end": 2590.01, "word": " في", "probability": 0.9482421875}, {"start": 2590.01, "end": 2590.71, "word": " الدرجة", "probability": 0.67333984375}, {"start": 2590.71, "end": 2591.15, "word": " X", "probability": 0.72265625}, {"start": 2591.15, "end": 2591.43, "word": " على", "probability": 0.70849609375}, {"start": 2591.43, "end": 2591.57, "word": " ال", "probability": 0.9755859375}, {"start": 2591.57, "end": 2591.77, "word": " bus", "probability": 0.97265625}, {"start": 2591.77, "end": 2591.99, "word": " هو", "probability": 0.97412109375}, {"start": 2591.99, "end": 2592.93, "word": " مشتقة؟", "probability": 0.9197998046875}], "temperature": 1.0}, {"id": 113, "seek": 260894, "start": 2593.21, "end": 2608.95, "text": "المقام يبقى سالب لل absolute value لل EOS نقص 6 زي 1 زي constant C هل ضروري اكتب ال absolute value هذا؟", "tokens": [45340, 4587, 10943, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 24976, 8236, 2158, 24976, 462, 4367, 8717, 4587, 9381, 1386, 30767, 1829, 502, 30767, 1829, 5754, 383, 8032, 1211, 48812, 2288, 13063, 1829, 1975, 4117, 2655, 3555, 2423, 8236, 2158, 23758, 22807], "avg_logprob": -0.30759448228880415, "compression_ratio": 1.1693548387096775, "no_speech_prob": 0.0, "words": [{"start": 2593.21, "end": 2594.23, "word": "المقام", "probability": 0.769287109375}, {"start": 2594.23, "end": 2595.49, "word": " يبقى", "probability": 0.9407958984375}, {"start": 2595.49, "end": 2596.63, "word": " سالب", "probability": 0.8043619791666666}, {"start": 2596.63, "end": 2597.59, "word": " لل", "probability": 0.341796875}, {"start": 2597.59, "end": 2598.53, "word": " absolute", "probability": 0.677734375}, {"start": 2598.53, "end": 2599.39, "word": " value", "probability": 0.9853515625}, {"start": 2599.39, "end": 2599.65, "word": " لل", "probability": 0.303466796875}, {"start": 2599.65, "end": 2600.37, "word": " EOS", "probability": 0.56298828125}, {"start": 2600.37, "end": 2600.89, "word": " نقص", "probability": 0.55419921875}, {"start": 2600.89, "end": 2601.25, "word": " 6", "probability": 0.377197265625}, {"start": 2601.25, "end": 2602.01, "word": " زي", "probability": 0.37078857421875}, {"start": 2602.01, "end": 2602.53, "word": " 1", "probability": 0.64208984375}, {"start": 2602.53, "end": 2603.39, "word": " زي", "probability": 0.6866455078125}, {"start": 2603.39, "end": 2604.03, "word": " constant", "probability": 0.515625}, {"start": 2604.03, "end": 2604.65, "word": " C", "probability": 0.85107421875}, {"start": 2604.65, "end": 2605.51, "word": " هل", "probability": 0.913330078125}, {"start": 2605.51, "end": 2606.57, "word": " ضروري", "probability": 0.9273681640625}, {"start": 2606.57, "end": 2607.27, "word": " اكتب", "probability": 0.912353515625}, {"start": 2607.27, "end": 2607.37, "word": " ال", "probability": 0.70361328125}, {"start": 2607.37, "end": 2607.83, "word": " absolute", "probability": 0.935546875}, {"start": 2607.83, "end": 2608.41, "word": " value", "probability": 0.99365234375}, {"start": 2608.41, "end": 2608.95, "word": " هذا؟", "probability": 0.7880859375}], "temperature": 1.0}, {"id": 114, "seek": 262470, "start": 2609.9, "end": 2624.7, "text": "ليس بسبب هو ال exponential موجب زائد واحد يبقى قيمة موجبة كتبت ال absolute والله ما كتبتوش مافيش مشكلة واحد تاني فكر في نفسي المسألة بطريقة أخرى راح قال another solution", "tokens": [20292, 3794, 4724, 35457, 3555, 31439, 2423, 21510, 3714, 29245, 3555, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 12174, 32640, 3660, 3714, 29245, 49401, 9122, 2655, 3555, 2655, 2423, 8236, 16070, 43761, 19446, 9122, 2655, 3555, 2655, 2407, 8592, 19446, 41185, 8592, 37893, 28820, 3660, 36764, 24401, 6055, 7649, 1829, 6156, 37983, 8978, 8717, 36178, 1829, 9673, 3794, 10721, 37977, 4724, 9566, 16572, 28671, 5551, 34740, 7578, 12602, 39319, 50239, 1071, 3827], "avg_logprob": -0.17885417262713113, "compression_ratio": 1.5222222222222221, "no_speech_prob": 0.0, "words": [{"start": 2609.9, "end": 2610.38, "word": "ليس", "probability": 0.4554443359375}, {"start": 2610.38, "end": 2610.86, "word": " بسبب", "probability": 0.8338216145833334}, {"start": 2610.86, "end": 2610.9, "word": " هو", "probability": 0.79345703125}, {"start": 2610.9, "end": 2611.02, "word": " ال", "probability": 0.159423828125}, {"start": 2611.02, "end": 2611.76, "word": " exponential", "probability": 0.4423828125}, {"start": 2611.76, "end": 2612.58, "word": " موجب", "probability": 0.923828125}, {"start": 2612.58, "end": 2613.1, "word": " زائد", "probability": 0.8126627604166666}, {"start": 2613.1, "end": 2613.5, "word": " واحد", "probability": 0.970703125}, {"start": 2613.5, "end": 2613.84, "word": " يبقى", "probability": 0.78076171875}, {"start": 2613.84, "end": 2614.24, "word": " قيمة", "probability": 0.9459635416666666}, {"start": 2614.24, "end": 2614.76, "word": " موجبة", "probability": 0.98583984375}, {"start": 2614.76, "end": 2615.8, "word": " كتبت", "probability": 0.8826904296875}, {"start": 2615.8, "end": 2615.9, "word": " ال", "probability": 0.95654296875}, {"start": 2615.9, "end": 2616.36, "word": " absolute", "probability": 0.7734375}, {"start": 2616.36, "end": 2616.62, "word": " والله", "probability": 0.624267578125}, {"start": 2616.62, "end": 2616.7, "word": " ما", "probability": 0.82666015625}, {"start": 2616.7, "end": 2617.22, "word": " كتبتوش", "probability": 0.95068359375}, {"start": 2617.22, "end": 2617.56, "word": " مافيش", "probability": 0.89453125}, {"start": 2617.56, "end": 2618.44, "word": " مشكلة", "probability": 0.9861653645833334}, {"start": 2618.44, "end": 2618.96, "word": " واحد", "probability": 0.9365234375}, {"start": 2618.96, "end": 2619.28, "word": " تاني", "probability": 0.9443359375}, {"start": 2619.28, "end": 2619.76, "word": " فكر", "probability": 0.989501953125}, {"start": 2619.76, "end": 2619.98, "word": " في", "probability": 0.98046875}, {"start": 2619.98, "end": 2620.48, "word": " نفسي", "probability": 0.9562174479166666}, {"start": 2620.48, "end": 2620.98, "word": " المسألة", "probability": 0.97509765625}, {"start": 2620.98, "end": 2621.62, "word": " بطريقة", "probability": 0.9893798828125}, {"start": 2621.62, "end": 2622.52, "word": " أخرى", "probability": 0.8756510416666666}, {"start": 2622.52, "end": 2622.98, "word": " راح", "probability": 0.783203125}, {"start": 2622.98, "end": 2623.24, "word": " قال", "probability": 0.81298828125}, {"start": 2623.24, "end": 2623.72, "word": " another", "probability": 0.441162109375}, {"start": 2623.72, "end": 2624.7, "word": " solution", "probability": 0.953125}], "temperature": 1.0}, {"id": 115, "seek": 265176, "start": 2628.52, "end": 2651.76, "text": "قلنا له أيها قال بدل ما ضربت و قسمت انا لأ لابد يضرب ولا بدي اقسم بدي اضيف و اطرح بدي اخد العمليتين الجبريتين الأخرين ضربوا جسم مابديش بدي اخد جامعة و اطرح بقول له أيها قال المسألة هذهها هي تكامل واحد على واحد زائد EOS6", "tokens": [4587, 1211, 8315, 46740, 36632, 11296, 50239, 47525, 1211, 19446, 48812, 25513, 2655, 4032, 12174, 38251, 2655, 1975, 8315, 5296, 10721, 5296, 16758, 3215, 7251, 11242, 25513, 49429, 4724, 16254, 1975, 4587, 38251, 4724, 16254, 1975, 11242, 33911, 4032, 1975, 9566, 2288, 5016, 4724, 16254, 1975, 9778, 3215, 18863, 42213, 36081, 9957, 25724, 3555, 16572, 2655, 9957, 16247, 34740, 9957, 48812, 25513, 14407, 10874, 38251, 3714, 16758, 16254, 8592, 4724, 16254, 1975, 9778, 3215, 10874, 10943, 27884, 4032, 1975, 9566, 2288, 5016, 4724, 39648, 46740, 36632, 11296, 50239, 9673, 3794, 10721, 37977, 29538, 11296, 39896, 6055, 4117, 10943, 1211, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 462, 4367, 21], "avg_logprob": -0.2606981858476862, "compression_ratio": 2.0366492146596857, "no_speech_prob": 0.0, "words": [{"start": 2628.52, "end": 2629.02, "word": "قلنا", "probability": 0.4483235677083333}, {"start": 2629.02, "end": 2629.22, "word": " له", "probability": 0.81787109375}, {"start": 2629.22, "end": 2629.48, "word": " أيها", "probability": 0.73291015625}, {"start": 2629.48, "end": 2629.72, "word": " قال", "probability": 0.1474609375}, {"start": 2629.72, "end": 2630.18, "word": " بدل", "probability": 0.950927734375}, {"start": 2630.18, "end": 2630.34, "word": " ما", "probability": 0.916015625}, {"start": 2630.34, "end": 2630.88, "word": " ضربت", "probability": 0.9508463541666666}, {"start": 2630.88, "end": 2630.98, "word": " و", "probability": 0.9208984375}, {"start": 2630.98, "end": 2631.62, "word": " قسمت", "probability": 0.796142578125}, {"start": 2631.62, "end": 2631.96, "word": " انا", "probability": 0.7147216796875}, {"start": 2631.96, "end": 2632.7, "word": " لأ", "probability": 0.89306640625}, {"start": 2632.7, "end": 2633.18, "word": " لابد", "probability": 0.705078125}, {"start": 2633.18, "end": 2633.6, "word": " يضرب", "probability": 0.7880859375}, {"start": 2633.6, "end": 2633.8, "word": " ولا", "probability": 0.5224609375}, {"start": 2633.8, "end": 2634.06, "word": " بدي", "probability": 0.6448974609375}, {"start": 2634.06, "end": 2634.32, "word": " اقسم", "probability": 0.8133951822916666}, {"start": 2634.32, "end": 2634.7, "word": " بدي", "probability": 0.632080078125}, {"start": 2634.7, "end": 2635.38, "word": " اضيف", "probability": 0.94384765625}, {"start": 2635.38, "end": 2635.66, "word": " و", "probability": 0.96728515625}, {"start": 2635.66, "end": 2636.24, "word": " اطرح", "probability": 0.902587890625}, {"start": 2636.24, "end": 2636.78, "word": " بدي", "probability": 0.836669921875}, {"start": 2636.78, "end": 2636.98, "word": " اخد", "probability": 0.8313802083333334}, {"start": 2636.98, "end": 2637.6, "word": " العمليتين", "probability": 0.8555908203125}, {"start": 2637.6, "end": 2638.4, "word": " الجبريتين", "probability": 0.81962890625}, {"start": 2638.4, "end": 2639.44, "word": " الأخرين", "probability": 0.8922526041666666}, {"start": 2639.44, "end": 2640.14, "word": " ضربوا", "probability": 0.9825846354166666}, {"start": 2640.14, "end": 2640.42, "word": " جسم", "probability": 0.74609375}, {"start": 2640.42, "end": 2641.04, "word": " مابديش", "probability": 0.75579833984375}, {"start": 2641.04, "end": 2641.28, "word": " بدي", "probability": 0.865234375}, {"start": 2641.28, "end": 2641.5, "word": " اخد", "probability": 0.9095052083333334}, {"start": 2641.5, "end": 2641.78, "word": " جامعة", "probability": 0.55712890625}, {"start": 2641.78, "end": 2641.88, "word": " و", "probability": 0.9189453125}, {"start": 2641.88, "end": 2642.2, "word": " اطرح", "probability": 0.74542236328125}, {"start": 2642.2, "end": 2643.08, "word": " بقول", "probability": 0.945068359375}, {"start": 2643.08, "end": 2643.2, "word": " له", "probability": 0.919921875}, {"start": 2643.2, "end": 2643.52, "word": " أيها", "probability": 0.931640625}, {"start": 2643.52, "end": 2643.78, "word": " قال", "probability": 0.9755859375}, {"start": 2643.78, "end": 2644.56, "word": " المسألة", "probability": 0.94580078125}, {"start": 2644.56, "end": 2645.42, "word": " هذهها", "probability": 0.735595703125}, {"start": 2645.42, "end": 2646.26, "word": " هي", "probability": 0.88623046875}, {"start": 2646.26, "end": 2647.7, "word": " تكامل", "probability": 0.9818115234375}, {"start": 2647.7, "end": 2649.0, "word": " واحد", "probability": 0.79638671875}, {"start": 2649.0, "end": 2649.64, "word": " على", "probability": 0.77099609375}, {"start": 2649.64, "end": 2650.3, "word": " واحد", "probability": 0.984375}, {"start": 2650.3, "end": 2650.9, "word": " زائد", "probability": 0.94091796875}, {"start": 2650.9, "end": 2651.76, "word": " EOS6", "probability": 0.3365478515625}], "temperature": 1.0}, {"id": 116, "seek": 266665, "start": 2652.27, "end": 2666.65, "text": "قال لي بدي أضيف EO6 و أطرح EO6 قلنا له مافيش مشكلة قال لي زائد EO6 ناقص EO6 كله في DX قلنا له و الله تمام", "tokens": [4587, 6027, 32239, 4724, 16254, 5551, 11242, 33911, 462, 46, 21, 4032, 5551, 9566, 2288, 5016, 462, 46, 21, 12174, 1211, 8315, 46740, 19446, 41185, 8592, 37893, 28820, 3660, 50239, 32239, 30767, 16373, 3215, 462, 46, 21, 8717, 995, 4587, 9381, 462, 46, 21, 28242, 3224, 8978, 48817, 12174, 1211, 8315, 46740, 4032, 21984, 46811, 10943], "avg_logprob": -0.22203947577560157, "compression_ratio": 1.4869565217391305, "no_speech_prob": 0.0, "words": [{"start": 2652.27, "end": 2652.75, "word": "قال", "probability": 0.6463623046875}, {"start": 2652.75, "end": 2652.87, "word": " لي", "probability": 0.68115234375}, {"start": 2652.87, "end": 2653.19, "word": " بدي", "probability": 0.57806396484375}, {"start": 2653.19, "end": 2653.81, "word": " أضيف", "probability": 0.8541666666666666}, {"start": 2653.81, "end": 2654.63, "word": " EO6", "probability": 0.6454264322916666}, {"start": 2654.63, "end": 2655.09, "word": " و", "probability": 0.52392578125}, {"start": 2655.09, "end": 2655.73, "word": " أطرح", "probability": 0.85009765625}, {"start": 2655.73, "end": 2656.83, "word": " EO6", "probability": 0.9173177083333334}, {"start": 2656.83, "end": 2657.39, "word": " قلنا", "probability": 0.74365234375}, {"start": 2657.39, "end": 2657.61, "word": " له", "probability": 0.552734375}, {"start": 2657.61, "end": 2658.03, "word": " مافيش", "probability": 0.80029296875}, {"start": 2658.03, "end": 2658.69, "word": " مشكلة", "probability": 0.9851888020833334}, {"start": 2658.69, "end": 2659.33, "word": " قال", "probability": 0.75537109375}, {"start": 2659.33, "end": 2659.51, "word": " لي", "probability": 0.85791015625}, {"start": 2659.51, "end": 2660.35, "word": " زائد", "probability": 0.8372395833333334}, {"start": 2660.35, "end": 2661.55, "word": " EO6", "probability": 0.9833984375}, {"start": 2661.55, "end": 2662.57, "word": " ناقص", "probability": 0.9013671875}, {"start": 2662.57, "end": 2663.67, "word": " EO6", "probability": 0.98974609375}, {"start": 2663.67, "end": 2664.55, "word": " كله", "probability": 0.924072265625}, {"start": 2664.55, "end": 2664.67, "word": " في", "probability": 0.92919921875}, {"start": 2664.67, "end": 2665.13, "word": " DX", "probability": 0.83544921875}, {"start": 2665.13, "end": 2665.57, "word": " قلنا", "probability": 0.93359375}, {"start": 2665.57, "end": 2665.79, "word": " له", "probability": 0.86767578125}, {"start": 2665.79, "end": 2665.93, "word": " و", "probability": 0.29443359375}, {"start": 2665.93, "end": 2666.11, "word": " الله", "probability": 0.96337890625}, {"start": 2666.11, "end": 2666.65, "word": " تمام", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 117, "seek": 269292, "start": 2667.26, "end": 2692.92, "text": "جالي هذا كله بالدقة و ككتلة واحدة على هذا بجد ايش؟ واحد، يبقى واحد، ناقص، هذه على هذه، هذا ايه والسكس على واحد زائد ايه والسكس كله في dx، مظبوط هكذا؟ قلنا له تمام تمام، جابت كم للواحد؟ باكس، البسطى فاجل المقام؟", "tokens": [7435, 6027, 1829, 23758, 28242, 3224, 20666, 3215, 28671, 4032, 9122, 4117, 2655, 37977, 36764, 24401, 3660, 15844, 23758, 4724, 7435, 3215, 1975, 1829, 8592, 22807, 36764, 24401, 12399, 7251, 3555, 4587, 7578, 36764, 24401, 12399, 8717, 995, 4587, 9381, 12399, 29538, 15844, 29538, 12399, 23758, 1975, 1829, 3224, 16070, 3794, 4117, 3794, 15844, 36764, 24401, 30767, 16373, 3215, 1975, 1829, 3224, 16070, 3794, 4117, 3794, 28242, 3224, 8978, 30017, 12399, 3714, 19913, 3555, 2407, 9566, 8032, 4117, 15730, 22807, 12174, 1211, 8315, 46740, 46811, 10943, 46811, 10943, 12399, 10874, 16758, 2655, 9122, 2304, 24976, 14407, 24401, 22807, 4724, 995, 4117, 3794, 12399, 29739, 3794, 9566, 7578, 6156, 26108, 1211, 9673, 4587, 10943, 22807], "avg_logprob": -0.36929348759029224, "compression_ratio": 1.9137055837563453, "no_speech_prob": 0.0, "words": [{"start": 2667.26, "end": 2667.82, "word": "جالي", "probability": 0.4417724609375}, {"start": 2667.82, "end": 2668.18, "word": " هذا", "probability": 0.75537109375}, {"start": 2668.18, "end": 2668.62, "word": " كله", "probability": 0.938720703125}, {"start": 2668.62, "end": 2669.08, "word": " بالدقة", "probability": 0.4781087239583333}, {"start": 2669.08, "end": 2669.3, "word": " و", "probability": 0.85595703125}, {"start": 2669.3, "end": 2669.88, "word": " ككتلة", "probability": 0.90234375}, {"start": 2669.88, "end": 2670.44, "word": " واحدة", "probability": 0.9658203125}, {"start": 2670.44, "end": 2670.8, "word": " على", "probability": 0.6435546875}, {"start": 2670.8, "end": 2671.14, "word": " هذا", "probability": 0.8955078125}, {"start": 2671.14, "end": 2671.52, "word": " بجد", "probability": 0.7330729166666666}, {"start": 2671.52, "end": 2672.54, "word": " ايش؟", "probability": 0.72998046875}, {"start": 2672.54, "end": 2673.38, "word": " واحد،", "probability": 0.6961263020833334}, {"start": 2673.38, "end": 2674.14, "word": " يبقى", "probability": 0.84716796875}, {"start": 2674.14, "end": 2674.56, "word": " واحد،", "probability": 0.90185546875}, {"start": 2674.56, "end": 2675.36, "word": " ناقص،", "probability": 0.751318359375}, {"start": 2675.36, "end": 2675.82, "word": " هذه", "probability": 0.650390625}, {"start": 2675.82, "end": 2676.2, "word": " على", "probability": 0.888671875}, {"start": 2676.2, "end": 2677.06, "word": " هذه،", "probability": 0.6082763671875}, {"start": 2677.06, "end": 2677.5, "word": " هذا", "probability": 0.466552734375}, {"start": 2677.5, "end": 2677.94, "word": " ايه", "probability": 0.4893391927083333}, {"start": 2677.94, "end": 2678.56, "word": " والسكس", "probability": 0.53558349609375}, {"start": 2678.56, "end": 2678.94, "word": " على", "probability": 0.859375}, {"start": 2678.94, "end": 2679.56, "word": " واحد", "probability": 0.993408203125}, {"start": 2679.56, "end": 2680.76, "word": " زائد", "probability": 0.87939453125}, {"start": 2680.76, "end": 2681.22, "word": " ايه", "probability": 0.9290364583333334}, {"start": 2681.22, "end": 2681.98, "word": " والسكس", "probability": 0.985107421875}, {"start": 2681.98, "end": 2682.64, "word": " كله", "probability": 0.822265625}, {"start": 2682.64, "end": 2682.78, "word": " في", "probability": 0.857421875}, {"start": 2682.78, "end": 2684.04, "word": " dx،", "probability": 0.39886474609375}, {"start": 2684.04, "end": 2684.44, "word": " مظبوط", "probability": 0.761572265625}, {"start": 2684.44, "end": 2685.28, "word": " هكذا؟", "probability": 0.782470703125}, {"start": 2685.28, "end": 2685.8, "word": " قلنا", "probability": 0.690673828125}, {"start": 2685.8, "end": 2686.0, "word": " له", "probability": 0.8388671875}, {"start": 2686.0, "end": 2686.5, "word": " تمام", "probability": 0.9599609375}, {"start": 2686.5, "end": 2687.8, "word": " تمام،", "probability": 0.65478515625}, {"start": 2687.8, "end": 2688.2, "word": " جابت", "probability": 0.60595703125}, {"start": 2688.2, "end": 2688.56, "word": " كم", "probability": 0.888916015625}, {"start": 2688.56, "end": 2689.64, "word": " للواحد؟", "probability": 0.79254150390625}, {"start": 2689.64, "end": 2690.5, "word": " باكس،", "probability": 0.722802734375}, {"start": 2690.5, "end": 2691.08, "word": " البسطى", "probability": 0.74908447265625}, {"start": 2691.08, "end": 2691.44, "word": " فاجل", "probability": 0.6581217447916666}, {"start": 2691.44, "end": 2692.92, "word": " المقام؟", "probability": 0.95458984375}], "temperature": 1.0}, {"id": 118, "seek": 270823, "start": 2693.75, "end": 2708.23, "text": "صح ولا لأ؟ يبقى لان واحد زائد EO6 زائد كونستانسيوم ما كتبتش absolutely لأن هذا موجب باق منهم، بيطلع، بيقولي طب الجواب هذا مش زي هذا", "tokens": [9381, 5016, 49429, 5296, 10721, 22807, 7251, 3555, 4587, 7578, 5296, 7649, 36764, 24401, 30767, 16373, 3215, 462, 46, 21, 30767, 16373, 3215, 9122, 11536, 14851, 7649, 3794, 1829, 20498, 19446, 9122, 2655, 3555, 2655, 8592, 3122, 5296, 33456, 23758, 3714, 29245, 3555, 4724, 995, 4587, 9154, 16095, 12399, 4724, 1829, 9566, 1211, 3615, 12399, 4724, 1829, 39648, 1829, 23032, 3555, 25724, 14407, 3555, 23758, 37893, 30767, 1829, 23758], "avg_logprob": -0.34508929891245704, "compression_ratio": 1.4088050314465408, "no_speech_prob": 0.0, "words": [{"start": 2693.75, "end": 2694.09, "word": "صح", "probability": 0.627685546875}, {"start": 2694.09, "end": 2694.33, "word": " ولا", "probability": 0.97021484375}, {"start": 2694.33, "end": 2694.75, "word": " لأ؟", "probability": 0.6328125}, {"start": 2694.75, "end": 2695.33, "word": " يبقى", "probability": 0.791259765625}, {"start": 2695.33, "end": 2695.91, "word": " لان", "probability": 0.41888427734375}, {"start": 2695.91, "end": 2696.91, "word": " واحد", "probability": 0.876220703125}, {"start": 2696.91, "end": 2697.55, "word": " زائد", "probability": 0.8671875}, {"start": 2697.55, "end": 2698.47, "word": " EO6", "probability": 0.6415201822916666}, {"start": 2698.47, "end": 2699.61, "word": " زائد", "probability": 0.9388020833333334}, {"start": 2699.61, "end": 2700.51, "word": " كونستانسيوم", "probability": 0.7776925223214286}, {"start": 2700.51, "end": 2700.69, "word": " ما", "probability": 0.44677734375}, {"start": 2700.69, "end": 2701.41, "word": " كتبتش", "probability": 0.70849609375}, {"start": 2701.41, "end": 2702.07, "word": " absolutely", "probability": 0.418212890625}, {"start": 2702.07, "end": 2702.41, "word": " لأن", "probability": 0.666015625}, {"start": 2702.41, "end": 2702.73, "word": " هذا", "probability": 0.64306640625}, {"start": 2702.73, "end": 2704.07, "word": " موجب", "probability": 0.7247721354166666}, {"start": 2704.07, "end": 2704.43, "word": " باق", "probability": 0.5315755208333334}, {"start": 2704.43, "end": 2704.85, "word": " منهم،", "probability": 0.4293619791666667}, {"start": 2704.85, "end": 2705.45, "word": " بيطلع،", "probability": 0.8455403645833334}, {"start": 2705.45, "end": 2705.95, "word": " بيقولي", "probability": 0.85992431640625}, {"start": 2705.95, "end": 2706.41, "word": " طب", "probability": 0.8544921875}, {"start": 2706.41, "end": 2707.09, "word": " الجواب", "probability": 0.98291015625}, {"start": 2707.09, "end": 2707.39, "word": " هذا", "probability": 0.90576171875}, {"start": 2707.39, "end": 2707.67, "word": " مش", "probability": 0.98486328125}, {"start": 2707.67, "end": 2707.95, "word": " زي", "probability": 0.991455078125}, {"start": 2707.95, "end": 2708.23, "word": " هذا", "probability": 0.97509765625}], "temperature": 1.0}, {"id": 119, "seek": 273593, "start": 2709.47, "end": 2735.93, "text": "بنقول لك بسيطة تقدر تحوّل هذه الجواب إلى من؟ الإجابة هذه كيف؟ good exercise لك تروح تكتب ليها توصلي الإجابة هذه للإجابة هذه بتقولي هذه ناقص لين وتوصي اتفاق ناحنا وياك انه لا داعي لل absolute value واحد عليه ال six زائد واحد زائد constant C", "tokens": [3555, 1863, 39648, 5296, 4117, 4724, 3794, 1829, 9566, 3660, 6055, 28543, 2288, 6055, 5016, 2407, 11703, 1211, 29538, 25724, 14407, 3555, 30731, 9154, 22807, 33688, 7435, 16758, 3660, 29538, 9122, 33911, 22807, 665, 5380, 5296, 4117, 6055, 32887, 5016, 6055, 4117, 2655, 3555, 32239, 11296, 6055, 2407, 9381, 20292, 33688, 7435, 16758, 3660, 29538, 24976, 28814, 7435, 16758, 3660, 29538, 39894, 39648, 1829, 29538, 8717, 995, 4587, 9381, 5296, 9957, 34683, 2407, 9381, 1829, 1975, 2655, 5172, 995, 4587, 8717, 39319, 8315, 4032, 25528, 4117, 16472, 3224, 20193, 11778, 45761, 1829, 24976, 8236, 2158, 36764, 24401, 25894, 3224, 2423, 2309, 30767, 16373, 3215, 36764, 24401, 30767, 16373, 3215, 5754, 383], "avg_logprob": -0.3443080298602581, "compression_ratio": 1.6851063829787234, "no_speech_prob": 0.0, "words": [{"start": 2709.47, "end": 2709.93, "word": "بنقول", "probability": 0.5514729817708334}, {"start": 2709.93, "end": 2710.11, "word": " لك", "probability": 0.6541748046875}, {"start": 2710.11, "end": 2710.63, "word": " بسيطة", "probability": 0.9779296875}, {"start": 2710.63, "end": 2711.27, "word": " تقدر", "probability": 0.8180338541666666}, {"start": 2711.27, "end": 2712.01, "word": " تحوّل", "probability": 0.810107421875}, {"start": 2712.01, "end": 2712.25, "word": " هذه", "probability": 0.40771484375}, {"start": 2712.25, "end": 2712.71, "word": " الجواب", "probability": 0.7685546875}, {"start": 2712.71, "end": 2712.91, "word": " إلى", "probability": 0.751953125}, {"start": 2712.91, "end": 2713.45, "word": " من؟", "probability": 0.34674072265625}, {"start": 2713.45, "end": 2714.25, "word": " الإجابة", "probability": 0.84893798828125}, {"start": 2714.25, "end": 2714.49, "word": " هذه", "probability": 0.673828125}, {"start": 2714.49, "end": 2715.13, "word": " كيف؟", "probability": 0.9244791666666666}, {"start": 2715.13, "end": 2715.37, "word": " good", "probability": 0.49462890625}, {"start": 2715.37, "end": 2716.35, "word": " exercise", "probability": 0.94775390625}, {"start": 2716.35, "end": 2716.87, "word": " لك", "probability": 0.6658935546875}, {"start": 2716.87, "end": 2717.73, "word": " تروح", "probability": 0.83544921875}, {"start": 2717.73, "end": 2718.29, "word": " تكتب", "probability": 0.98193359375}, {"start": 2718.29, "end": 2718.91, "word": " ليها", "probability": 0.612060546875}, {"start": 2718.91, "end": 2720.55, "word": " توصلي", "probability": 0.5987548828125}, {"start": 2720.55, "end": 2721.13, "word": " الإجابة", "probability": 0.9766845703125}, {"start": 2721.13, "end": 2721.41, "word": " هذه", "probability": 0.93798828125}, {"start": 2721.41, "end": 2722.17, "word": " للإجابة", "probability": 0.91064453125}, {"start": 2722.17, "end": 2722.45, "word": " هذه", "probability": 0.927734375}, {"start": 2722.45, "end": 2723.35, "word": " بتقولي", "probability": 0.5968424479166666}, {"start": 2723.35, "end": 2723.63, "word": " هذه", "probability": 0.8916015625}, {"start": 2723.63, "end": 2724.37, "word": " ناقص", "probability": 0.86181640625}, {"start": 2724.37, "end": 2724.77, "word": " لين", "probability": 0.4461669921875}, {"start": 2724.77, "end": 2725.51, "word": " وتوصي", "probability": 0.50946044921875}, {"start": 2725.51, "end": 2726.11, "word": " اتفاق", "probability": 0.6890625}, {"start": 2726.11, "end": 2726.49, "word": " ناحنا", "probability": 0.6217447916666666}, {"start": 2726.49, "end": 2726.99, "word": " وياك", "probability": 0.7937825520833334}, {"start": 2726.99, "end": 2727.31, "word": " انه", "probability": 0.4178466796875}, {"start": 2727.31, "end": 2727.43, "word": " لا", "probability": 0.85791015625}, {"start": 2727.43, "end": 2728.27, "word": " داعي", "probability": 0.9581705729166666}, {"start": 2728.27, "end": 2728.69, "word": " لل", "probability": 0.2110595703125}, {"start": 2728.69, "end": 2729.35, "word": " absolute", "probability": 0.65234375}, {"start": 2729.35, "end": 2730.01, "word": " value", "probability": 0.99169921875}, {"start": 2730.01, "end": 2731.11, "word": " واحد", "probability": 0.782470703125}, {"start": 2731.11, "end": 2732.19, "word": " عليه", "probability": 0.548583984375}, {"start": 2732.19, "end": 2732.37, "word": " ال", "probability": 0.49560546875}, {"start": 2732.37, "end": 2732.75, "word": " six", "probability": 0.5732421875}, {"start": 2732.75, "end": 2733.65, "word": " زائد", "probability": 0.7647298177083334}, {"start": 2733.65, "end": 2734.13, "word": " واحد", "probability": 0.99072265625}, {"start": 2734.13, "end": 2734.69, "word": " زائد", "probability": 0.9697265625}, {"start": 2734.69, "end": 2735.25, "word": " constant", "probability": 0.79638671875}, {"start": 2735.25, "end": 2735.93, "word": " C", "probability": 0.5068359375}], "temperature": 1.0}, {"id": 120, "seek": 276409, "start": 2736.19, "end": 2764.09, "text": "أو يساوي ناقص لن واحد زائد EO6 كله على EO6 زائد من constant C واتروح تكمل لن البسط ناقص لن المقام مع ناقص بشيء زائد و لن المقام ب X هيها طلعت و بضر ناقص لن البسط يالا كملها بسهولة قبليني لسؤال السادس ستة", "tokens": [10721, 2407, 7251, 3794, 995, 45865, 8717, 995, 4587, 9381, 5296, 1863, 36764, 24401, 30767, 16373, 3215, 462, 46, 21, 28242, 3224, 15844, 462, 46, 21, 30767, 16373, 3215, 9154, 5754, 383, 4032, 9307, 32887, 5016, 6055, 24793, 1211, 5296, 1863, 29739, 3794, 9566, 8717, 995, 4587, 9381, 5296, 1863, 9673, 4587, 10943, 20449, 8717, 995, 4587, 9381, 4724, 8592, 1829, 38207, 30767, 16373, 3215, 4032, 5296, 1863, 9673, 4587, 10943, 4724, 1783, 39896, 11296, 23032, 1211, 34268, 4032, 4724, 11242, 2288, 8717, 995, 4587, 9381, 5296, 1863, 29739, 3794, 9566, 7251, 6027, 995, 9122, 42213, 11296, 4724, 3794, 3224, 12610, 3660, 12174, 36150, 9957, 1829, 5296, 3794, 33604, 6027, 21136, 18513, 3794, 8608, 2655, 3660], "avg_logprob": -0.2919337617026435, "compression_ratio": 1.7704081632653061, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2736.19, "end": 2736.95, "word": "أو", "probability": 0.6915283203125}, {"start": 2736.95, "end": 2737.97, "word": " يساوي", "probability": 0.8465576171875}, {"start": 2737.97, "end": 2738.85, "word": " ناقص", "probability": 0.9661865234375}, {"start": 2738.85, "end": 2739.51, "word": " لن", "probability": 0.39630126953125}, {"start": 2739.51, "end": 2740.33, "word": " واحد", "probability": 0.944091796875}, {"start": 2740.33, "end": 2740.97, "word": " زائد", "probability": 0.91845703125}, {"start": 2740.97, "end": 2741.95, "word": " EO6", "probability": 0.6471354166666666}, {"start": 2741.95, "end": 2742.67, "word": " كله", "probability": 0.550537109375}, {"start": 2742.67, "end": 2742.85, "word": " على", "probability": 0.783203125}, {"start": 2742.85, "end": 2743.43, "word": " EO6", "probability": 0.9484049479166666}, {"start": 2743.43, "end": 2743.85, "word": " زائد", "probability": 0.8151041666666666}, {"start": 2743.85, "end": 2744.23, "word": " من", "probability": 0.92236328125}, {"start": 2744.23, "end": 2745.03, "word": " constant", "probability": 0.2734375}, {"start": 2745.03, "end": 2745.41, "word": " C", "probability": 0.595703125}, {"start": 2745.41, "end": 2745.79, "word": " واتروح", "probability": 0.60443115234375}, {"start": 2745.79, "end": 2746.29, "word": " تكمل", "probability": 0.8250325520833334}, {"start": 2746.29, "end": 2746.63, "word": " لن", "probability": 0.8291015625}, {"start": 2746.63, "end": 2747.13, "word": " البسط", "probability": 0.610107421875}, {"start": 2747.13, "end": 2747.87, "word": " ناقص", "probability": 0.9930419921875}, {"start": 2747.87, "end": 2748.65, "word": " لن", "probability": 0.97314453125}, {"start": 2748.65, "end": 2749.13, "word": " المقام", "probability": 0.9820963541666666}, {"start": 2749.13, "end": 2749.31, "word": " مع", "probability": 0.8076171875}, {"start": 2749.31, "end": 2749.65, "word": " ناقص", "probability": 0.83837890625}, {"start": 2749.65, "end": 2749.91, "word": " بشيء", "probability": 0.47943115234375}, {"start": 2749.91, "end": 2750.27, "word": " زائد", "probability": 0.7354329427083334}, {"start": 2750.27, "end": 2750.39, "word": " و", "probability": 0.5234375}, {"start": 2750.39, "end": 2750.65, "word": " لن", "probability": 0.929931640625}, {"start": 2750.65, "end": 2751.17, "word": " المقام", "probability": 0.9661458333333334}, {"start": 2751.17, "end": 2751.33, "word": " ب", "probability": 0.66162109375}, {"start": 2751.33, "end": 2751.61, "word": " X", "probability": 0.52880859375}, {"start": 2751.61, "end": 2752.05, "word": " هيها", "probability": 0.5411376953125}, {"start": 2752.05, "end": 2752.51, "word": " طلعت", "probability": 0.93017578125}, {"start": 2752.51, "end": 2752.87, "word": " و", "probability": 0.609375}, {"start": 2752.87, "end": 2753.15, "word": " بضر", "probability": 0.5568033854166666}, {"start": 2753.15, "end": 2753.61, "word": " ناقص", "probability": 0.986083984375}, {"start": 2753.61, "end": 2753.93, "word": " لن", "probability": 0.932861328125}, {"start": 2753.93, "end": 2754.37, "word": " البسط", "probability": 0.95654296875}, {"start": 2754.37, "end": 2755.29, "word": " يالا", "probability": 0.6806640625}, {"start": 2755.29, "end": 2755.95, "word": " كملها", "probability": 0.9244791666666666}, {"start": 2755.95, "end": 2757.45, "word": " بسهولة", "probability": 0.994140625}, {"start": 2757.45, "end": 2759.21, "word": " قبليني", "probability": 0.6007080078125}, {"start": 2759.21, "end": 2760.51, "word": " لسؤال", "probability": 0.8111572265625}, {"start": 2760.51, "end": 2763.05, "word": " السادس", "probability": 0.758544921875}, {"start": 2763.05, "end": 2764.09, "word": " ستة", "probability": 0.89501953125}], "temperature": 1.0}, {"id": 121, "seek": 279401, "start": 2764.61, "end": 2794.01, "text": "تكامل P أوسك X عالمين على cosine X في كوتان X بالنسبة الى DX فكر برضه شو بدنا نعمل في هذا السؤال مشان نقدر نقومله بعملية ايه التكامل برضه نفس الطريقة", "tokens": [2655, 4117, 10943, 1211, 430, 34051, 3794, 4117, 1783, 6225, 45340, 9957, 15844, 23565, 1783, 8978, 9122, 35473, 7649, 1783, 20666, 1863, 35457, 3660, 2423, 7578, 48817, 6156, 37983, 4724, 43042, 3224, 13412, 2407, 47525, 8315, 8717, 25957, 1211, 8978, 23758, 21136, 33604, 6027, 37893, 7649, 8717, 28543, 2288, 8717, 4587, 20498, 43761, 4724, 25957, 1211, 10632, 1975, 1829, 3224, 16712, 4117, 10943, 1211, 4724, 43042, 3224, 8717, 36178, 41950, 16572, 28671], "avg_logprob": -0.21264982223510742, "compression_ratio": 1.5421686746987953, "no_speech_prob": 0.0, "words": [{"start": 2764.61, "end": 2765.55, "word": "تكامل", "probability": 0.901611328125}, {"start": 2765.55, "end": 2766.29, "word": " P", "probability": 0.1905517578125}, {"start": 2766.29, "end": 2767.13, "word": " أوسك", "probability": 0.6078084309895834}, {"start": 2767.13, "end": 2767.81, "word": " X", "probability": 0.61181640625}, {"start": 2767.81, "end": 2769.49, "word": " عالمين", "probability": 0.693603515625}, {"start": 2769.49, "end": 2770.37, "word": " على", "probability": 0.79833984375}, {"start": 2770.37, "end": 2771.41, "word": " cosine", "probability": 0.30615234375}, {"start": 2771.41, "end": 2773.13, "word": " X", "probability": 0.81689453125}, {"start": 2773.13, "end": 2773.97, "word": " في", "probability": 0.72607421875}, {"start": 2773.97, "end": 2775.25, "word": " كوتان", "probability": 0.6747233072916666}, {"start": 2775.25, "end": 2776.43, "word": " X", "probability": 0.90869140625}, {"start": 2776.43, "end": 2777.89, "word": " بالنسبة", "probability": 0.9852294921875}, {"start": 2777.89, "end": 2778.35, "word": " الى", "probability": 0.639404296875}, {"start": 2778.35, "end": 2779.25, "word": " DX", "probability": 0.78955078125}, {"start": 2779.25, "end": 2782.31, "word": " فكر", "probability": 0.91015625}, {"start": 2782.31, "end": 2782.69, "word": " برضه", "probability": 0.9114583333333334}, {"start": 2782.69, "end": 2782.93, "word": " شو", "probability": 0.8994140625}, {"start": 2782.93, "end": 2783.19, "word": " بدنا", "probability": 0.691162109375}, {"start": 2783.19, "end": 2783.57, "word": " نعمل", "probability": 0.98828125}, {"start": 2783.57, "end": 2783.73, "word": " في", "probability": 0.85693359375}, {"start": 2783.73, "end": 2784.11, "word": " هذا", "probability": 0.93701171875}, {"start": 2784.11, "end": 2784.77, "word": " السؤال", "probability": 0.99462890625}, {"start": 2784.77, "end": 2785.81, "word": " مشان", "probability": 0.7064208984375}, {"start": 2785.81, "end": 2786.27, "word": " نقدر", "probability": 0.96630859375}, {"start": 2786.27, "end": 2786.89, "word": " نقومله", "probability": 0.8536376953125}, {"start": 2786.89, "end": 2787.81, "word": " بعملية", "probability": 0.9453125}, {"start": 2787.81, "end": 2788.57, "word": " ايه", "probability": 0.8673502604166666}, {"start": 2788.57, "end": 2790.35, "word": " التكامل", "probability": 0.9268798828125}, {"start": 2790.35, "end": 2793.19, "word": " برضه", "probability": 0.9373372395833334}, {"start": 2793.19, "end": 2793.47, "word": " نفس", "probability": 0.99462890625}, {"start": 2793.47, "end": 2794.01, "word": " الطريقة", "probability": 0.9856770833333334}], "temperature": 1.0}, {"id": 122, "seek": 282338, "start": 2795.92, "end": 2823.38, "text": "هل يمكن كتابة السؤال بطريقة أخرى يعني بدّيش اي حاجة اللي قامت ده خلّيها كلها في البصر يعني هذا بقدر أقول تكامل E أو سك ال X فيه واحد عكسان الهدمان بسك يبقى هذا سك ال X واحد عكتان الهدمان بتان ال X DX", "tokens": [3224, 1211, 7251, 43020, 9122, 2655, 16758, 3660, 21136, 33604, 6027, 4724, 9566, 16572, 28671, 5551, 34740, 7578, 37495, 22653, 47525, 11703, 1829, 8592, 1975, 1829, 11331, 26108, 3660, 13672, 1829, 12174, 10943, 2655, 11778, 3224, 16490, 1211, 11703, 1829, 11296, 28242, 11296, 8978, 29739, 9381, 2288, 37495, 22653, 23758, 4724, 28543, 2288, 5551, 39648, 6055, 4117, 10943, 1211, 462, 34051, 8608, 4117, 2423, 1783, 8978, 3224, 36764, 24401, 6225, 4117, 3794, 7649, 2423, 3224, 40448, 7649, 4724, 3794, 4117, 7251, 3555, 4587, 7578, 23758, 8608, 4117, 2423, 1783, 36764, 24401, 6225, 4117, 2655, 7649, 2423, 3224, 40448, 7649, 39894, 7649, 2423, 1783, 48817], "avg_logprob": -0.26517856461661204, "compression_ratio": 1.8368421052631578, "no_speech_prob": 0.0, "words": [{"start": 2795.92, "end": 2796.34, "word": "هل", "probability": 0.95263671875}, {"start": 2796.34, "end": 2796.8, "word": " يمكن", "probability": 0.968505859375}, {"start": 2796.8, "end": 2797.38, "word": " كتابة", "probability": 0.979248046875}, {"start": 2797.38, "end": 2797.94, "word": " السؤال", "probability": 0.9905598958333334}, {"start": 2797.94, "end": 2798.78, "word": " بطريقة", "probability": 0.982421875}, {"start": 2798.78, "end": 2799.84, "word": " أخرى", "probability": 0.8933919270833334}, {"start": 2799.84, "end": 2801.06, "word": " يعني", "probability": 0.6597900390625}, {"start": 2801.06, "end": 2801.5, "word": " بدّيش", "probability": 0.56988525390625}, {"start": 2801.5, "end": 2801.64, "word": " اي", "probability": 0.3360595703125}, {"start": 2801.64, "end": 2801.86, "word": " حاجة", "probability": 0.90625}, {"start": 2801.86, "end": 2802.02, "word": " اللي", "probability": 0.7020263671875}, {"start": 2802.02, "end": 2802.4, "word": " قامت", "probability": 0.55615234375}, {"start": 2802.4, "end": 2802.54, "word": " ده", "probability": 0.677001953125}, {"start": 2802.54, "end": 2802.8, "word": " خلّيها", "probability": 0.69150390625}, {"start": 2802.8, "end": 2803.12, "word": " كلها", "probability": 0.9619140625}, {"start": 2803.12, "end": 2803.22, "word": " في", "probability": 0.765625}, {"start": 2803.22, "end": 2804.46, "word": " البصر", "probability": 0.566162109375}, {"start": 2804.46, "end": 2807.46, "word": " يعني", "probability": 0.81396484375}, {"start": 2807.46, "end": 2807.9, "word": " هذا", "probability": 0.90576171875}, {"start": 2807.9, "end": 2808.5, "word": " بقدر", "probability": 0.8982747395833334}, {"start": 2808.5, "end": 2808.92, "word": " أقول", "probability": 0.83935546875}, {"start": 2808.92, "end": 2809.82, "word": " تكامل", "probability": 0.95654296875}, {"start": 2809.82, "end": 2810.26, "word": " E", "probability": 0.6494140625}, {"start": 2810.26, "end": 2810.66, "word": " أو", "probability": 0.2279052734375}, {"start": 2810.66, "end": 2811.2, "word": " سك", "probability": 0.75830078125}, {"start": 2811.2, "end": 2811.44, "word": " ال", "probability": 0.65771484375}, {"start": 2811.44, "end": 2811.78, "word": " X", "probability": 0.7509765625}, {"start": 2811.78, "end": 2812.3, "word": " فيه", "probability": 0.808837890625}, {"start": 2812.3, "end": 2813.0, "word": " واحد", "probability": 0.875244140625}, {"start": 2813.0, "end": 2813.66, "word": " عكسان", "probability": 0.66204833984375}, {"start": 2813.66, "end": 2814.42, "word": " الهدمان", "probability": 0.55126953125}, {"start": 2814.42, "end": 2815.88, "word": " بسك", "probability": 0.92578125}, {"start": 2815.88, "end": 2816.84, "word": " يبقى", "probability": 0.8939208984375}, {"start": 2816.84, "end": 2817.36, "word": " هذا", "probability": 0.93017578125}, {"start": 2817.36, "end": 2818.0, "word": " سك", "probability": 0.953369140625}, {"start": 2818.0, "end": 2818.22, "word": " ال", "probability": 0.9287109375}, {"start": 2818.22, "end": 2818.46, "word": " X", "probability": 0.953125}, {"start": 2818.46, "end": 2819.24, "word": " واحد", "probability": 0.908203125}, {"start": 2819.24, "end": 2820.36, "word": " عكتان", "probability": 0.8692626953125}, {"start": 2820.36, "end": 2821.54, "word": " الهدمان", "probability": 0.9766845703125}, {"start": 2821.54, "end": 2822.18, "word": " بتان", "probability": 0.809814453125}, {"start": 2822.18, "end": 2822.42, "word": " ال", "probability": 0.890625}, {"start": 2822.42, "end": 2822.88, "word": " X", "probability": 0.97509765625}, {"start": 2822.88, "end": 2823.38, "word": " DX", "probability": 0.6943359375}], "temperature": 1.0}, {"id": 123, "seek": 284762, "start": 2823.96, "end": 2847.62, "text": "مشكلة مع من؟ مع سك يبقى لو حطينا ال U تساوي سك ال X يبقى DU بسك ال X في تاني ال X في DX إذا بقدر أشيل هذا كله و أكتر بدالة من DU يبقى سارة كامل A O C U DU", "tokens": [2304, 8592, 28820, 3660, 20449, 9154, 22807, 20449, 8608, 4117, 7251, 3555, 4587, 7578, 45164, 11331, 9566, 1829, 8315, 2423, 624, 6055, 3794, 995, 45865, 8608, 4117, 2423, 1783, 7251, 3555, 4587, 7578, 28423, 4724, 3794, 4117, 2423, 1783, 8978, 6055, 7649, 1829, 2423, 1783, 8978, 48817, 11933, 15730, 4724, 28543, 2288, 5551, 8592, 26895, 23758, 28242, 3224, 4032, 5551, 4117, 2655, 2288, 47525, 6027, 3660, 9154, 28423, 7251, 3555, 4587, 7578, 8608, 9640, 3660, 9122, 10943, 1211, 316, 422, 383, 624, 28423], "avg_logprob": -0.23976935091472806, "compression_ratio": 1.5723270440251573, "no_speech_prob": 0.0, "words": [{"start": 2823.96, "end": 2824.9, "word": "مشكلة", "probability": 0.75311279296875}, {"start": 2824.9, "end": 2825.16, "word": " مع", "probability": 0.85498046875}, {"start": 2825.16, "end": 2825.84, "word": " من؟", "probability": 0.5927734375}, {"start": 2825.84, "end": 2826.58, "word": " مع", "probability": 0.7021484375}, {"start": 2826.58, "end": 2827.3, "word": " سك", "probability": 0.5423583984375}, {"start": 2827.3, "end": 2828.18, "word": " يبقى", "probability": 0.862060546875}, {"start": 2828.18, "end": 2828.38, "word": " لو", "probability": 0.9462890625}, {"start": 2828.38, "end": 2829.2, "word": " حطينا", "probability": 0.865478515625}, {"start": 2829.2, "end": 2829.44, "word": " ال", "probability": 0.7890625}, {"start": 2829.44, "end": 2829.9, "word": " U", "probability": 0.5673828125}, {"start": 2829.9, "end": 2830.94, "word": " تساوي", "probability": 0.78839111328125}, {"start": 2830.94, "end": 2831.5, "word": " سك", "probability": 0.9462890625}, {"start": 2831.5, "end": 2831.72, "word": " ال", "probability": 0.58740234375}, {"start": 2831.72, "end": 2832.12, "word": " X", "probability": 0.9580078125}, {"start": 2832.12, "end": 2833.2, "word": " يبقى", "probability": 0.96533203125}, {"start": 2833.2, "end": 2833.82, "word": " DU", "probability": 0.53466796875}, {"start": 2833.82, "end": 2834.8, "word": " بسك", "probability": 0.96142578125}, {"start": 2834.8, "end": 2835.1, "word": " ال", "probability": 0.7978515625}, {"start": 2835.1, "end": 2835.48, "word": " X", "probability": 0.99365234375}, {"start": 2835.48, "end": 2836.0, "word": " في", "probability": 0.452880859375}, {"start": 2836.0, "end": 2836.66, "word": " تاني", "probability": 0.93212890625}, {"start": 2836.66, "end": 2836.82, "word": " ال", "probability": 0.81884765625}, {"start": 2836.82, "end": 2837.24, "word": " X", "probability": 0.98291015625}, {"start": 2837.24, "end": 2837.52, "word": " في", "probability": 0.826171875}, {"start": 2837.52, "end": 2838.22, "word": " DX", "probability": 0.82568359375}, {"start": 2838.22, "end": 2838.9, "word": " إذا", "probability": 0.607666015625}, {"start": 2838.9, "end": 2839.44, "word": " بقدر", "probability": 0.9220377604166666}, {"start": 2839.44, "end": 2839.92, "word": " أشيل", "probability": 0.91845703125}, {"start": 2839.92, "end": 2840.3, "word": " هذا", "probability": 0.79443359375}, {"start": 2840.3, "end": 2840.74, "word": " كله", "probability": 0.85400390625}, {"start": 2840.74, "end": 2840.88, "word": " و", "probability": 0.39990234375}, {"start": 2840.88, "end": 2840.98, "word": " أكتر", "probability": 0.8846435546875}, {"start": 2840.98, "end": 2841.4, "word": " بدالة", "probability": 0.5708821614583334}, {"start": 2841.4, "end": 2841.56, "word": " من", "probability": 0.95166015625}, {"start": 2841.56, "end": 2843.02, "word": " DU", "probability": 0.759765625}, {"start": 2843.02, "end": 2843.74, "word": " يبقى", "probability": 0.978515625}, {"start": 2843.74, "end": 2844.34, "word": " سارة", "probability": 0.661865234375}, {"start": 2844.34, "end": 2845.12, "word": " كامل", "probability": 0.9772135416666666}, {"start": 2845.12, "end": 2845.64, "word": " A", "probability": 0.5625}, {"start": 2845.64, "end": 2846.32, "word": " O", "probability": 0.59375}, {"start": 2846.32, "end": 2846.58, "word": " C", "probability": 0.81396484375}, {"start": 2846.58, "end": 2847.32, "word": " U", "probability": 0.8974609375}, {"start": 2847.32, "end": 2847.62, "word": " DU", "probability": 0.60009765625}], "temperature": 1.0}, {"id": 124, "seek": 286656, "start": 2859.94, "end": 2866.56, "text": "سؤال السابع بدنا تكامل", "tokens": [3794, 33604, 6027, 21136, 16758, 3615, 47525, 8315, 6055, 4117, 10943, 1211], "avg_logprob": -0.2546574519230769, "compression_ratio": 0.8723404255319149, "no_speech_prob": 0.0, "words": [{"start": 2859.94, "end": 2861.34, "word": "سؤال", "probability": 0.7677408854166666}, {"start": 2861.34, "end": 2862.42, "word": " السابع", "probability": 0.9627278645833334}, {"start": 2862.42, "end": 2865.52, "word": " بدنا", "probability": 0.593505859375}, {"start": 2865.52, "end": 2866.56, "word": " تكامل", "probability": 0.9844970703125}], "temperature": 1.0}, {"id": 125, "seek": 287951, "start": 2868.01, "end": 2879.51, "text": "لدي x على x في log ال x للأساس تمانية لكل تربيع", "tokens": [1211, 16254, 2031, 15844, 2031, 8978, 3565, 2423, 2031, 24976, 10721, 3794, 32277, 46811, 7649, 10632, 5296, 28820, 6055, 2288, 21292, 3615], "avg_logprob": -0.3024796143822048, "compression_ratio": 1.013157894736842, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2868.01, "end": 2868.69, "word": "لدي", "probability": 0.5902099609375}, {"start": 2868.69, "end": 2869.41, "word": " x", "probability": 0.560546875}, {"start": 2869.41, "end": 2870.57, "word": " على", "probability": 0.76220703125}, {"start": 2870.57, "end": 2871.95, "word": " x", "probability": 0.955078125}, {"start": 2871.95, "end": 2872.87, "word": " في", "probability": 0.8720703125}, {"start": 2872.87, "end": 2873.61, "word": " log", "probability": 0.409912109375}, {"start": 2873.61, "end": 2874.69, "word": " ال", "probability": 0.489990234375}, {"start": 2874.69, "end": 2875.17, "word": " x", "probability": 0.52490234375}, {"start": 2875.17, "end": 2876.19, "word": " للأساس", "probability": 0.950927734375}, {"start": 2876.19, "end": 2877.07, "word": " تمانية", "probability": 0.9342447916666666}, {"start": 2877.07, "end": 2878.21, "word": " لكل", "probability": 0.6915283203125}, {"start": 2878.21, "end": 2879.51, "word": " تربيع", "probability": 0.82489013671875}], "temperature": 1.0}, {"id": 126, "seek": 290544, "start": 2884.98, "end": 2905.44, "text": "لوك في التكامل يعني مش درجة معانا كتير لكن بقدر اكتبه بدلالة main لن يبقى هذا integration ل dx على x لن ال x الكل ترابيع على لن تمانية الكل ترابيع", "tokens": [1211, 2407, 4117, 8978, 16712, 4117, 10943, 1211, 37495, 22653, 37893, 11778, 47341, 3660, 20449, 7649, 995, 9122, 2655, 13546, 44381, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 3224, 4724, 3215, 1211, 6027, 3660, 2135, 5296, 1863, 7251, 3555, 4587, 7578, 23758, 10980, 5296, 30017, 15844, 2031, 5296, 1863, 2423, 2031, 2423, 28820, 6055, 2288, 16758, 40228, 15844, 5296, 1863, 46811, 7649, 10632, 2423, 28820, 6055, 2288, 16758, 40228], "avg_logprob": -0.24040179082325527, "compression_ratio": 1.5576923076923077, "no_speech_prob": 0.0, "words": [{"start": 2884.98, "end": 2885.42, "word": "لوك", "probability": 0.40057373046875}, {"start": 2885.42, "end": 2885.54, "word": " في", "probability": 0.80859375}, {"start": 2885.54, "end": 2886.32, "word": " التكامل", "probability": 0.9664306640625}, {"start": 2886.32, "end": 2886.92, "word": " يعني", "probability": 0.766357421875}, {"start": 2886.92, "end": 2887.24, "word": " مش", "probability": 0.97998046875}, {"start": 2887.24, "end": 2888.06, "word": " درجة", "probability": 0.8448893229166666}, {"start": 2888.06, "end": 2888.4, "word": " معانا", "probability": 0.9752604166666666}, {"start": 2888.4, "end": 2888.82, "word": " كتير", "probability": 0.9749348958333334}, {"start": 2888.82, "end": 2889.6, "word": " لكن", "probability": 0.494384765625}, {"start": 2889.6, "end": 2890.02, "word": " بقدر", "probability": 0.9775390625}, {"start": 2890.02, "end": 2890.38, "word": " اكتبه", "probability": 0.82119140625}, {"start": 2890.38, "end": 2890.88, "word": " بدلالة", "probability": 0.762548828125}, {"start": 2890.88, "end": 2891.22, "word": " main", "probability": 0.144287109375}, {"start": 2891.22, "end": 2892.26, "word": " لن", "probability": 0.67822265625}, {"start": 2892.26, "end": 2893.28, "word": " يبقى", "probability": 0.9639892578125}, {"start": 2893.28, "end": 2893.7, "word": " هذا", "probability": 0.67041015625}, {"start": 2893.7, "end": 2894.98, "word": " integration", "probability": 0.9736328125}, {"start": 2894.98, "end": 2895.52, "word": " ل", "probability": 0.8935546875}, {"start": 2895.52, "end": 2896.4, "word": " dx", "probability": 0.384765625}, {"start": 2896.4, "end": 2897.48, "word": " على", "probability": 0.5810546875}, {"start": 2897.48, "end": 2898.02, "word": " x", "probability": 0.96826171875}, {"start": 2898.02, "end": 2899.26, "word": " لن", "probability": 0.911865234375}, {"start": 2899.26, "end": 2899.5, "word": " ال", "probability": 0.85888671875}, {"start": 2899.5, "end": 2900.02, "word": " x", "probability": 0.634765625}, {"start": 2900.02, "end": 2900.78, "word": " الكل", "probability": 0.853271484375}, {"start": 2900.78, "end": 2901.74, "word": " ترابيع", "probability": 0.8455810546875}, {"start": 2901.74, "end": 2902.66, "word": " على", "probability": 0.68017578125}, {"start": 2902.66, "end": 2903.4, "word": " لن", "probability": 0.9345703125}, {"start": 2903.4, "end": 2904.4, "word": " تمانية", "probability": 0.9002278645833334}, {"start": 2904.4, "end": 2904.92, "word": " الكل", "probability": 0.860107421875}, {"start": 2904.92, "end": 2905.44, "word": " ترابيع", "probability": 0.9290771484375}], "temperature": 1.0}, {"id": 127, "seek": 293319, "start": 2906.19, "end": 2933.19, "text": "يعني لن ال X على لن تمانية لكل تربيع هذا الكلام بده يساوي اظن هذا الكاسر لن تمانية لكل تربيع بطلع فوق وبقدر اخد مين برا التكامل يبجى لن تمانية لكل تربيع في تكامل لدي X على X في لن ال X لكل تربيع", "tokens": [40228, 22653, 5296, 1863, 2423, 1783, 15844, 5296, 1863, 46811, 7649, 10632, 5296, 28820, 6055, 2288, 21292, 3615, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 1975, 19913, 1863, 23758, 33251, 32277, 2288, 5296, 1863, 46811, 7649, 10632, 5296, 28820, 6055, 2288, 21292, 3615, 4724, 9566, 1211, 3615, 6156, 30543, 46599, 28543, 2288, 1975, 9778, 3215, 3714, 9957, 4724, 23557, 16712, 4117, 10943, 1211, 7251, 3555, 7435, 7578, 5296, 1863, 46811, 7649, 10632, 5296, 28820, 6055, 2288, 21292, 3615, 8978, 6055, 4117, 10943, 1211, 5296, 16254, 1783, 15844, 1783, 8978, 5296, 1863, 2423, 1783, 5296, 28820, 6055, 2288, 21292, 3615], "avg_logprob": -0.19402306374994296, "compression_ratio": 2.2, "no_speech_prob": 0.0, "words": [{"start": 2906.19, "end": 2907.59, "word": "يعني", "probability": 0.56365966796875}, {"start": 2907.59, "end": 2907.99, "word": " لن", "probability": 0.755859375}, {"start": 2907.99, "end": 2908.15, "word": " ال", "probability": 0.7548828125}, {"start": 2908.15, "end": 2908.35, "word": " X", "probability": 0.55126953125}, {"start": 2908.35, "end": 2908.59, "word": " على", "probability": 0.67578125}, {"start": 2908.59, "end": 2908.89, "word": " لن", "probability": 0.98095703125}, {"start": 2908.89, "end": 2909.43, "word": " تمانية", "probability": 0.9143880208333334}, {"start": 2909.43, "end": 2910.01, "word": " لكل", "probability": 0.724853515625}, {"start": 2910.01, "end": 2910.95, "word": " تربيع", "probability": 0.8809814453125}, {"start": 2910.95, "end": 2911.83, "word": " هذا", "probability": 0.68798828125}, {"start": 2911.83, "end": 2912.47, "word": " الكلام", "probability": 0.9581705729166666}, {"start": 2912.47, "end": 2912.91, "word": " بده", "probability": 0.617431640625}, {"start": 2912.91, "end": 2913.45, "word": " يساوي", "probability": 0.9322509765625}, {"start": 2913.45, "end": 2914.71, "word": " اظن", "probability": 0.7334798177083334}, {"start": 2914.71, "end": 2915.19, "word": " هذا", "probability": 0.865234375}, {"start": 2915.19, "end": 2915.83, "word": " الكاسر", "probability": 0.4847412109375}, {"start": 2915.83, "end": 2916.19, "word": " لن", "probability": 0.94482421875}, {"start": 2916.19, "end": 2916.65, "word": " تمانية", "probability": 0.9851888020833334}, {"start": 2916.65, "end": 2916.97, "word": " لكل", "probability": 0.978515625}, {"start": 2916.97, "end": 2917.43, "word": " تربيع", "probability": 0.9444580078125}, {"start": 2917.43, "end": 2917.99, "word": " بطلع", "probability": 0.926025390625}, {"start": 2917.99, "end": 2918.39, "word": " فوق", "probability": 0.960693359375}, {"start": 2918.39, "end": 2919.21, "word": " وبقدر", "probability": 0.8147786458333334}, {"start": 2919.21, "end": 2919.45, "word": " اخد", "probability": 0.6585286458333334}, {"start": 2919.45, "end": 2919.93, "word": " مين", "probability": 0.7041015625}, {"start": 2919.93, "end": 2920.95, "word": " برا", "probability": 0.619384765625}, {"start": 2920.95, "end": 2921.95, "word": " التكامل", "probability": 0.9903564453125}, {"start": 2921.95, "end": 2923.07, "word": " يبجى", "probability": 0.806640625}, {"start": 2923.07, "end": 2923.55, "word": " لن", "probability": 0.981201171875}, {"start": 2923.55, "end": 2924.49, "word": " تمانية", "probability": 0.9873046875}, {"start": 2924.49, "end": 2924.97, "word": " لكل", "probability": 0.988525390625}, {"start": 2924.97, "end": 2925.85, "word": " تربيع", "probability": 0.963623046875}, {"start": 2925.85, "end": 2926.37, "word": " في", "probability": 0.83203125}, {"start": 2926.37, "end": 2927.83, "word": " تكامل", "probability": 0.989501953125}, {"start": 2927.83, "end": 2928.53, "word": " لدي", "probability": 0.701904296875}, {"start": 2928.53, "end": 2929.23, "word": " X", "probability": 0.494384765625}, {"start": 2929.23, "end": 2929.99, "word": " على", "probability": 0.822265625}, {"start": 2929.99, "end": 2930.59, "word": " X", "probability": 0.9921875}, {"start": 2930.59, "end": 2930.91, "word": " في", "probability": 0.6025390625}, {"start": 2930.91, "end": 2931.41, "word": " لن", "probability": 0.99267578125}, {"start": 2931.41, "end": 2931.69, "word": " ال", "probability": 0.62890625}, {"start": 2931.69, "end": 2932.05, "word": " X", "probability": 0.96630859375}, {"start": 2932.05, "end": 2932.65, "word": " لكل", "probability": 0.98388671875}, {"start": 2932.65, "end": 2933.19, "word": " تربيع", "probability": 0.97265625}], "temperature": 1.0}, {"id": 128, "seek": 295798, "start": 2935.34, "end": 2957.98, "text": "لن ثمانية لتنين تكييب، يعني تلاتة لن اتنين يساوي تلاتة لن اتنين الكل تربيع، في تكامل هذا كمان واضح مش عاجبني، ايش رأيك هذه كلها؟ دي X على X، أليست مشتقة لن ال X؟", "tokens": [1211, 1863, 38637, 2304, 7649, 10632, 5296, 2655, 1863, 9957, 6055, 4117, 1829, 1829, 3555, 12399, 37495, 22653, 6055, 1211, 9307, 3660, 5296, 1863, 1975, 2655, 1863, 9957, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 5296, 1863, 1975, 2655, 1863, 9957, 2423, 28820, 6055, 25513, 40228, 12399, 8978, 6055, 4117, 10943, 1211, 23758, 9122, 2304, 7649, 4032, 46958, 5016, 37893, 6225, 26108, 3555, 22653, 12399, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 29538, 28242, 11296, 22807, 11778, 1829, 1783, 15844, 1783, 12399, 5551, 20292, 14851, 37893, 2655, 28671, 5296, 1863, 2423, 1783, 22807], "avg_logprob": -0.18207237344039115, "compression_ratio": 1.7763975155279503, "no_speech_prob": 0.0, "words": [{"start": 2935.34, "end": 2935.84, "word": "لن", "probability": 0.6920166015625}, {"start": 2935.84, "end": 2936.68, "word": " ثمانية", "probability": 0.8115234375}, {"start": 2936.68, "end": 2937.6, "word": " لتنين", "probability": 0.8704833984375}, {"start": 2937.6, "end": 2938.76, "word": " تكييب،", "probability": 0.7640787760416666}, {"start": 2938.76, "end": 2939.12, "word": " يعني", "probability": 0.858642578125}, {"start": 2939.12, "end": 2940.06, "word": " تلاتة", "probability": 0.9375}, {"start": 2940.06, "end": 2940.42, "word": " لن", "probability": 0.97412109375}, {"start": 2940.42, "end": 2941.12, "word": " اتنين", "probability": 0.9376220703125}, {"start": 2941.12, "end": 2942.44, "word": " يساوي", "probability": 0.8389892578125}, {"start": 2942.44, "end": 2943.4, "word": " تلاتة", "probability": 0.9832763671875}, {"start": 2943.4, "end": 2943.84, "word": " لن", "probability": 0.98876953125}, {"start": 2943.84, "end": 2944.54, "word": " اتنين", "probability": 0.9901123046875}, {"start": 2944.54, "end": 2945.4, "word": " الكل", "probability": 0.7291259765625}, {"start": 2945.4, "end": 2946.58, "word": " تربيع،", "probability": 0.7491455078125}, {"start": 2946.58, "end": 2946.78, "word": " في", "probability": 0.89599609375}, {"start": 2946.78, "end": 2947.98, "word": " تكامل", "probability": 0.9224853515625}, {"start": 2947.98, "end": 2948.98, "word": " هذا", "probability": 0.5673828125}, {"start": 2948.98, "end": 2949.74, "word": " كمان", "probability": 0.9871419270833334}, {"start": 2949.74, "end": 2950.36, "word": " واضح", "probability": 0.88720703125}, {"start": 2950.36, "end": 2950.66, "word": " مش", "probability": 0.322998046875}, {"start": 2950.66, "end": 2951.58, "word": " عاجبني،", "probability": 0.84453125}, {"start": 2951.58, "end": 2952.0, "word": " ايش", "probability": 0.806396484375}, {"start": 2952.0, "end": 2952.66, "word": " رأيك", "probability": 0.977294921875}, {"start": 2952.66, "end": 2953.08, "word": " هذه", "probability": 0.765625}, {"start": 2953.08, "end": 2954.18, "word": " كلها؟", "probability": 0.8924153645833334}, {"start": 2954.18, "end": 2954.44, "word": " دي", "probability": 0.902587890625}, {"start": 2954.44, "end": 2954.8, "word": " X", "probability": 0.58447265625}, {"start": 2954.8, "end": 2955.06, "word": " على", "probability": 0.50048828125}, {"start": 2955.06, "end": 2955.54, "word": " X،", "probability": 0.822509765625}, {"start": 2955.54, "end": 2956.18, "word": " أليست", "probability": 0.794921875}, {"start": 2956.18, "end": 2957.0, "word": " مشتقة", "probability": 0.9314778645833334}, {"start": 2957.0, "end": 2957.38, "word": " لن", "probability": 0.981201171875}, {"start": 2957.38, "end": 2957.54, "word": " ال", "probability": 0.728515625}, {"start": 2957.54, "end": 2957.98, "word": " X؟", "probability": 0.794677734375}], "temperature": 1.0}, {"id": 129, "seek": 297650, "start": 2958.54, "end": 2976.5, "text": "يبقى بقدر اكتب هذه مشتقة لن الاكس على لن الاكس لكل ترفيع عملتها لكوا في كالكلصية صحيح ولا لأ يبقى نفس التكتيك خايف تغلط شيل لن الاكس وحطه بأي متغيّر", "tokens": [1829, 3555, 4587, 7578, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 29538, 37893, 2655, 28671, 5296, 1863, 42963, 4117, 3794, 15844, 5296, 1863, 42963, 4117, 3794, 5296, 28820, 6055, 28480, 40228, 6225, 42213, 2655, 11296, 5296, 4117, 14407, 8978, 9122, 6027, 28820, 9381, 10632, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 7251, 3555, 4587, 7578, 8717, 36178, 16712, 4117, 31371, 4117, 16490, 995, 33911, 6055, 17082, 1211, 9566, 13412, 26895, 5296, 1863, 42963, 4117, 3794, 4032, 5016, 9566, 3224, 4724, 10721, 1829, 44650, 17082, 1829, 11703, 2288], "avg_logprob": -0.24165482260286808, "compression_ratio": 1.7225806451612904, "no_speech_prob": 0.0, "words": [{"start": 2958.54, "end": 2959.12, "word": "يبقى", "probability": 0.7060546875}, {"start": 2959.12, "end": 2959.62, "word": " بقدر", "probability": 0.8063151041666666}, {"start": 2959.62, "end": 2960.22, "word": " اكتب", "probability": 0.927490234375}, {"start": 2960.22, "end": 2960.68, "word": " هذه", "probability": 0.67626953125}, {"start": 2960.68, "end": 2962.04, "word": " مشتقة", "probability": 0.8810221354166666}, {"start": 2962.04, "end": 2962.78, "word": " لن", "probability": 0.7047119140625}, {"start": 2962.78, "end": 2963.7, "word": " الاكس", "probability": 0.727294921875}, {"start": 2963.7, "end": 2964.48, "word": " على", "probability": 0.685546875}, {"start": 2964.48, "end": 2965.04, "word": " لن", "probability": 0.9921875}, {"start": 2965.04, "end": 2965.68, "word": " الاكس", "probability": 0.9889322916666666}, {"start": 2965.68, "end": 2966.16, "word": " لكل", "probability": 0.7093505859375}, {"start": 2966.16, "end": 2966.76, "word": " ترفيع", "probability": 0.7111002604166666}, {"start": 2966.76, "end": 2968.0, "word": " عملتها", "probability": 0.8125}, {"start": 2968.0, "end": 2968.18, "word": " لكوا", "probability": 0.6439615885416666}, {"start": 2968.18, "end": 2968.3, "word": " في", "probability": 0.787109375}, {"start": 2968.3, "end": 2969.14, "word": " كالكلصية", "probability": 0.640283203125}, {"start": 2969.14, "end": 2969.52, "word": " صحيح", "probability": 0.8876953125}, {"start": 2969.52, "end": 2969.64, "word": " ولا", "probability": 0.580078125}, {"start": 2969.64, "end": 2970.04, "word": " لأ", "probability": 0.737548828125}, {"start": 2970.04, "end": 2970.86, "word": " يبقى", "probability": 0.857177734375}, {"start": 2970.86, "end": 2971.18, "word": " نفس", "probability": 0.994384765625}, {"start": 2971.18, "end": 2971.74, "word": " التكتيك", "probability": 0.798828125}, {"start": 2971.74, "end": 2972.34, "word": " خايف", "probability": 0.90380859375}, {"start": 2972.34, "end": 2972.96, "word": " تغلط", "probability": 0.8450927734375}, {"start": 2972.96, "end": 2973.76, "word": " شيل", "probability": 0.901611328125}, {"start": 2973.76, "end": 2974.2, "word": " لن", "probability": 0.951904296875}, {"start": 2974.2, "end": 2974.64, "word": " الاكس", "probability": 0.9925130208333334}, {"start": 2974.64, "end": 2975.2, "word": " وحطه", "probability": 0.8812255859375}, {"start": 2975.2, "end": 2975.6, "word": " بأي", "probability": 0.81298828125}, {"start": 2975.6, "end": 2976.5, "word": " متغيّر", "probability": 0.7681640625}], "temperature": 1.0}, {"id": 130, "seek": 299320, "start": 2976.68, "end": 2993.2, "text": "يبقى أشيل لن ال X و أضعه بأي متغير على طول الخط يعني بدك تضع لي W تساوي لن ال X يبقى DW بواحد على X DX ماعناه مشكلة يبقى بصيها دي DW على W تربية", "tokens": [1829, 3555, 4587, 7578, 5551, 8592, 26895, 5296, 1863, 2423, 1783, 4032, 5551, 11242, 3615, 3224, 4724, 10721, 1829, 44650, 17082, 13546, 15844, 23032, 12610, 33962, 9566, 37495, 22653, 47525, 4117, 6055, 11242, 3615, 32239, 343, 6055, 3794, 995, 45865, 5296, 1863, 2423, 1783, 7251, 3555, 4587, 7578, 45318, 4724, 14407, 24401, 15844, 1783, 48817, 19446, 3615, 8315, 3224, 37893, 28820, 3660, 7251, 3555, 4587, 7578, 4724, 9381, 1829, 11296, 11778, 1829, 45318, 15844, 343, 6055, 25513, 10632], "avg_logprob": -0.3318829219552535, "compression_ratio": 1.5921052631578947, "no_speech_prob": 0.0, "words": [{"start": 2976.68, "end": 2977.12, "word": "يبقى", "probability": 0.589263916015625}, {"start": 2977.12, "end": 2977.54, "word": " أشيل", "probability": 0.5784098307291666}, {"start": 2977.54, "end": 2977.88, "word": " لن", "probability": 0.5511474609375}, {"start": 2977.88, "end": 2978.04, "word": " ال", "probability": 0.55419921875}, {"start": 2978.04, "end": 2978.24, "word": " X", "probability": 0.463623046875}, {"start": 2978.24, "end": 2978.4, "word": " و", "probability": 0.876953125}, {"start": 2978.4, "end": 2978.8, "word": " أضعه", "probability": 0.682861328125}, {"start": 2978.8, "end": 2979.14, "word": " بأي", "probability": 0.8704427083333334}, {"start": 2979.14, "end": 2979.92, "word": " متغير", "probability": 0.95263671875}, {"start": 2979.92, "end": 2980.22, "word": " على", "probability": 0.92822265625}, {"start": 2980.22, "end": 2980.6, "word": " طول", "probability": 0.993896484375}, {"start": 2980.6, "end": 2981.0, "word": " الخط", "probability": 0.6214599609375}, {"start": 2981.0, "end": 2981.78, "word": " يعني", "probability": 0.790283203125}, {"start": 2981.78, "end": 2982.14, "word": " بدك", "probability": 0.6046142578125}, {"start": 2982.14, "end": 2982.58, "word": " تضع", "probability": 0.8653971354166666}, {"start": 2982.58, "end": 2982.8, "word": " لي", "probability": 0.213623046875}, {"start": 2982.8, "end": 2983.56, "word": " W", "probability": 0.68994140625}, {"start": 2983.56, "end": 2984.42, "word": " تساوي", "probability": 0.75811767578125}, {"start": 2984.42, "end": 2984.88, "word": " لن", "probability": 0.97998046875}, {"start": 2984.88, "end": 2985.04, "word": " ال", "probability": 0.6005859375}, {"start": 2985.04, "end": 2985.36, "word": " X", "probability": 0.97021484375}, {"start": 2985.36, "end": 2986.28, "word": " يبقى", "probability": 0.9505615234375}, {"start": 2986.28, "end": 2986.58, "word": " DW", "probability": 0.429931640625}, {"start": 2986.58, "end": 2987.56, "word": " بواحد", "probability": 0.90771484375}, {"start": 2987.56, "end": 2987.74, "word": " على", "probability": 0.63037109375}, {"start": 2987.74, "end": 2988.0, "word": " X", "probability": 0.72998046875}, {"start": 2988.0, "end": 2988.42, "word": " DX", "probability": 0.89697265625}, {"start": 2988.42, "end": 2988.96, "word": " ماعناه", "probability": 0.6678466796875}, {"start": 2988.96, "end": 2989.58, "word": " مشكلة", "probability": 0.9737955729166666}, {"start": 2989.58, "end": 2990.24, "word": " يبقى", "probability": 0.9141845703125}, {"start": 2990.24, "end": 2990.72, "word": " بصيها", "probability": 0.622314453125}, {"start": 2990.72, "end": 2990.88, "word": " دي", "probability": 0.909423828125}, {"start": 2990.88, "end": 2991.6, "word": " DW", "probability": 0.69140625}, {"start": 2991.6, "end": 2992.34, "word": " على", "probability": 0.82421875}, {"start": 2992.34, "end": 2992.66, "word": " W", "probability": 0.64794921875}, {"start": 2992.66, "end": 2993.2, "word": " تربية", "probability": 0.625}], "temperature": 1.0}, {"id": 131, "seek": 301305, "start": 2993.49, "end": 3013.05, "text": "صحيح ولا لأ؟ يبقى هذا الكلام بدي ساوي تسعة لن اتنين لكل تربيع مشتقت هذا المقدار سالب واحد على لن ال X زائد constant C خلاص؟", "tokens": [9381, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 4724, 16254, 8608, 995, 45865, 6055, 3794, 27884, 5296, 1863, 1975, 2655, 1863, 9957, 5296, 28820, 6055, 2288, 21292, 3615, 37893, 2655, 38149, 23758, 9673, 28543, 9640, 8608, 6027, 3555, 36764, 24401, 15844, 5296, 1863, 2423, 1783, 30767, 16373, 3215, 5754, 383, 16490, 1211, 33546, 22807], "avg_logprob": -0.2087053524123298, "compression_ratio": 1.4161073825503356, "no_speech_prob": 0.0, "words": [{"start": 2993.49, "end": 2993.87, "word": "صحيح", "probability": 0.835205078125}, {"start": 2993.87, "end": 2994.05, "word": " ولا", "probability": 0.77392578125}, {"start": 2994.05, "end": 2994.73, "word": " لأ؟", "probability": 0.748046875}, {"start": 2994.73, "end": 2995.19, "word": " يبقى", "probability": 0.9222412109375}, {"start": 2995.19, "end": 2995.45, "word": " هذا", "probability": 0.962890625}, {"start": 2995.45, "end": 2995.95, "word": " الكلام", "probability": 0.9210611979166666}, {"start": 2995.95, "end": 2996.31, "word": " بدي", "probability": 0.35546875}, {"start": 2996.31, "end": 2997.03, "word": " ساوي", "probability": 0.766845703125}, {"start": 2997.03, "end": 2997.91, "word": " تسعة", "probability": 0.9150390625}, {"start": 2997.91, "end": 2998.87, "word": " لن", "probability": 0.74951171875}, {"start": 2998.87, "end": 2999.57, "word": " اتنين", "probability": 0.973876953125}, {"start": 2999.57, "end": 3000.21, "word": " لكل", "probability": 0.742431640625}, {"start": 3000.21, "end": 3001.19, "word": " تربيع", "probability": 0.859375}, {"start": 3001.19, "end": 3002.23, "word": " مشتقت", "probability": 0.7179361979166666}, {"start": 3002.23, "end": 3002.57, "word": " هذا", "probability": 0.94140625}, {"start": 3002.57, "end": 3003.37, "word": " المقدار", "probability": 0.94677734375}, {"start": 3003.37, "end": 3004.49, "word": " سالب", "probability": 0.89013671875}, {"start": 3004.49, "end": 3005.69, "word": " واحد", "probability": 0.9873046875}, {"start": 3005.69, "end": 3006.51, "word": " على", "probability": 0.74169921875}, {"start": 3006.51, "end": 3007.01, "word": " لن", "probability": 0.986083984375}, {"start": 3007.01, "end": 3007.25, "word": " ال", "probability": 0.759765625}, {"start": 3007.25, "end": 3007.69, "word": " X", "probability": 0.499267578125}, {"start": 3007.69, "end": 3009.09, "word": " زائد", "probability": 0.9230143229166666}, {"start": 3009.09, "end": 3009.83, "word": " constant", "probability": 0.88525390625}, {"start": 3009.83, "end": 3010.63, "word": " C", "probability": 0.9365234375}, {"start": 3010.63, "end": 3013.05, "word": " خلاص؟", "probability": 0.832763671875}], "temperature": 1.0}, {"id": 132, "seek": 302593, "start": 3014.45, "end": 3025.93, "text": "حد اللي له التساول هنا؟ اختصارات مافيش بيخليها زميل، لا يزال ان بدل التتامل تلاتة للمرة القادمة ان شاء الله تعالى", "tokens": [5016, 3215, 13672, 1829, 46740, 16712, 3794, 995, 12610, 34105, 22807, 1975, 46456, 9381, 9640, 9307, 19446, 41185, 8592, 4724, 1829, 9778, 20292, 11296, 30767, 2304, 26895, 12399, 20193, 7251, 11622, 6027, 16472, 47525, 1211, 16712, 2655, 10943, 1211, 6055, 1211, 9307, 3660, 5296, 19528, 25720, 25062, 18513, 46007, 16472, 13412, 16606, 21984, 37279, 6027, 7578], "avg_logprob": -0.22327302004161634, "compression_ratio": 1.5488721804511278, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3014.45, "end": 3014.77, "word": "حد", "probability": 0.503662109375}, {"start": 3014.77, "end": 3014.91, "word": " اللي", "probability": 0.6871337890625}, {"start": 3014.91, "end": 3015.05, "word": " له", "probability": 0.298583984375}, {"start": 3015.05, "end": 3015.55, "word": " التساول", "probability": 0.7708740234375}, {"start": 3015.55, "end": 3016.11, "word": " هنا؟", "probability": 0.767578125}, {"start": 3016.11, "end": 3017.59, "word": " اختصارات", "probability": 0.96494140625}, {"start": 3017.59, "end": 3017.97, "word": " مافيش", "probability": 0.85546875}, {"start": 3017.97, "end": 3018.45, "word": " بيخليها", "probability": 0.81533203125}, {"start": 3018.45, "end": 3018.81, "word": " زميل،", "probability": 0.8046875}, {"start": 3018.81, "end": 3018.93, "word": " لا", "probability": 0.7080078125}, {"start": 3018.93, "end": 3019.39, "word": " يزال", "probability": 0.96875}, {"start": 3019.39, "end": 3019.71, "word": " ان", "probability": 0.46337890625}, {"start": 3019.71, "end": 3020.69, "word": " بدل", "probability": 0.748779296875}, {"start": 3020.69, "end": 3021.43, "word": " التتامل", "probability": 0.84735107421875}, {"start": 3021.43, "end": 3022.37, "word": " تلاتة", "probability": 0.92333984375}, {"start": 3022.37, "end": 3023.29, "word": " للمرة", "probability": 0.9602864583333334}, {"start": 3023.29, "end": 3024.19, "word": " القادمة", "probability": 0.9928385416666666}, {"start": 3024.19, "end": 3024.55, "word": " ان", "probability": 0.5673828125}, {"start": 3024.55, "end": 3024.99, "word": " شاء", "probability": 0.954345703125}, {"start": 3024.99, "end": 3025.39, "word": " الله", "probability": 0.955078125}, {"start": 3025.39, "end": 3025.93, "word": " تعالى", "probability": 0.9890950520833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3026.62825, "duration_after_vad": 2872.608468749992}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xo7EvNzKzsM_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xo7EvNzKzsM_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1b0d2abf7ef7d576af7803bd84d0f3ed2f4298cf
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/xo7EvNzKzsM_raw.srt
@@ -0,0 +1,1752 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:10,750 --> 00:00:15,250
+بسم الله الرحمن الرحيم الآن بنكمل على الأمثل التي
+
+3
+00:00:15,250 --> 00:00:19,690
+ابتدأنا فيها في المرة الماضية واخذنا على ذلك
+
+4
+00:00:19,690 --> 00:00:25,330
+مثالين مثال الأول تبسيط المقدار والمثال الثاني كان
+
+5
+00:00:25,330 --> 00:00:31,450
+إيجاد ال domain لدالة ما وشوفنا كيف نتخلص في هذا
+
+6
+00:00:31,450 --> 00:00:35,970
+المثال من ال exponential ونحصل على ال interval
+
+7
+00:00:35,970 --> 00:00:40,510
+اللي دال عليها معرفةبننتقل الى المثال الثالث و
+
+8
+00:00:40,510 --> 00:00:44,930
+هنقسمه كمان الى نقطتين النقطة الأولى بيقول soul
+
+9
+00:00:44,930 --> 00:00:50,180
+for whyيعني حل المسألة بالنسبة لي Y يعني بيجي تخلي
+
+10
+00:00:50,180 --> 00:00:55,640
+لي Y في شجة او في جهة و الباقي كله في جهتين اخرى
+
+11
+00:00:55,640 --> 00:01:00,980
+يعني هاتلي قيمة Y بدلالة من؟ بدلالة X نعطينا
+
+12
+00:01:00,980 --> 00:01:05,800
+المثلة M اتنين اص Y ناقص واحد زائد لن اتنين بيجي
+
+13
+00:01:05,800 --> 00:01:12,060
+يسوي X زائد لن اتنين Xبنا قيمة Y يبقى بالدخل اللي
+
+14
+00:01:12,060 --> 00:01:21,160
+فيها Y في جهة و الباقي بيوديه كله في جهة أخرى يبقى
+
+15
+00:01:21,160 --> 00:01:23,520
+هنا بقى بقول solution
+
+16
+00:01:27,390 --> 00:01:29,730
+لن اتنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+17
+00:01:29,730 --> 00:01:32,410
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+18
+00:01:32,410 --> 00:01:37,310
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+19
+00:01:37,310 --> 00:01:38,510
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+20
+00:01:38,510 --> 00:01:38,770
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+21
+00:01:38,770 --> 00:01:40,890
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+22
+00:01:40,890 --> 00:01:47,460
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثخارج
+
+23
+00:01:47,460 --> 00:01:55,180
+القسمة يبقى هذا x زائد لن اتنين x على اتنين يعني
+
+24
+00:01:55,180 --> 00:02:02,710
+يسوى x زائد لن ال xممكن الآن اتخلص من اللن اللي
+
+25
+00:02:02,710 --> 00:02:10,110
+عندى هذه بان اعمل ايه ارفع اتنين كأس للعدد a يبقى
+
+26
+00:02:10,110 --> 00:02:17,490
+ال a أس لن اتنين أس y ناقص واحد بدي يسوى e أس x
+
+27
+00:02:17,490 --> 00:02:25,050
+زائد لن ال xالـ E و Lن بيلغوا بعض حسب القاعدة اللي
+
+28
+00:02:25,050 --> 00:02:31,230
+اعطاناك إياها يبقى بضال عندي 2 أُس Y ناقص 1 يساوي
+
+29
+00:02:31,230 --> 00:02:38,460
+هذه بقدر أقول عليها E أُس X في E أُس Lن Xلأنه عند
+
+30
+00:02:38,460 --> 00:02:44,460
+الضرب إذا تساوت الأساسات بنجمع الأسس، يبقى عند
+
+31
+00:02:44,460 --> 00:02:49,520
+الأسس مجموعة بالدرجة عالمية للأصل بتباعها، يبقى
+
+32
+00:02:49,520 --> 00:02:55,710
+بصير عنده هنا اتنين أسواي ناقص واحد يساويطلعلي هذه
+
+33
+00:02:55,710 --> 00:03:00,550
+E أص لإن ال X اللي هي ب X مضغوبة في مين؟ في ال E و
+
+34
+00:03:00,550 --> 00:03:07,450
+ال 6 يبقى X في ال E و ال 6 او ان شيرتم فقولوا 2 أص
+
+35
+00:03:07,450 --> 00:03:16,730
+Y يسوى 1 زائد X في E أص Xطيب احنا بدنا y يبقى سهل
+
+36
+00:03:16,730 --> 00:03:22,930
+جدا خد ال len للطرفين يبقى لو أخدنا ال len للطرفين
+
+37
+00:03:22,930 --> 00:03:31,830
+بصير عندي y في len 2 يساوي len 1 زائد x في e أس x
+
+38
+00:03:33,250 --> 00:03:39,010
+أحنا ما بدنا لن اتنين بدنا Y لوحدها يبقى بناء عليه
+
+39
+00:03:39,010 --> 00:03:47,310
+بصير أن Y تساوي نجسم على لن اتنين لن واحد زائد X
+
+40
+00:03:47,310 --> 00:03:54,250
+في ال E of 6 كله مقسوما على لن اتنين يبقى هذا الحل
+
+41
+00:03:54,250 --> 00:04:03,480
+اللي عندي للمثلة ويمكن صياغته بصياغة أخرى وهيبقدر
+
+42
+00:04:03,480 --> 00:04:09,720
+اكتب هذا بدلالة logarithm log يبقى هذا الكلام بدى
+
+43
+00:04:09,720 --> 00:04:18,040
+يساوي logarithm للأساسي 2 لمين لواحد زائد X ا إي
+
+44
+00:04:18,040 --> 00:04:23,880
+أوس X بهذا الشكل يبقى هذا يعتبر حل المعادلة اللى
+
+45
+00:04:23,880 --> 00:04:37,780
+عندنا في هذا السؤال نمرى باهsolve for x لأن
+
+46
+00:04:37,780 --> 00:04:47,260
+ال E زائد أربعة أسالي باتنين logarithm X للأساس
+
+47
+00:04:47,260 --> 00:04:57,400
+أربعةبتساوي 1 على X log للأساس عشرة لمين للرقم 100
+
+48
+00:04:57,400 --> 00:05:02,920
+وال X هذه مالها لا تساوي Zero
+
+49
+00:05:12,410 --> 00:05:17,370
+سؤال مرة تانية بيقولي solve for x يعني حل المعادلة
+
+50
+00:05:17,370 --> 00:05:21,270
+بالنسبة ل x طبعا ماعندي شوية عندي أعداد وبالتالي
+
+51
+00:05:21,270 --> 00:05:27,830
+بدي أقرأ جداش القيمة العددية للمتغير x لإن ال a
+
+52
+00:05:27,830 --> 00:05:33,530
+زاد 4 مرفوعة للأس نقص 2 ال logarithm x للأساس 4
+
+53
+00:05:33,530 --> 00:05:40,050
+بدي أسوأ 1 على x لجمية للأساس 10.بنقوله بسيطة
+
+54
+00:05:40,050 --> 00:05:41,510
+الحال كالتالي
+
+55
+00:05:44,950 --> 00:05:50,290
+خلصنا منها، سهلة، زاد، شو رأيك؟ هنا أربعة و هنا
+
+56
+00:05:50,290 --> 00:05:54,450
+أربعة، بس هنا جبلة قداش؟ إذا لو فيش سالة و أتنين
+
+57
+00:05:54,450 --> 00:05:59,170
+كان أمري ميصور و سهل جدا، يعني بدخل سالة و أتنين
+
+58
+00:05:59,170 --> 00:06:06,540
+جوا لإن بتيجي كأس لمين؟يبقى بيصير أربعة أس لغة رتم
+
+59
+00:06:06,540 --> 00:06:12,380
+للأساس أربعة لل إكس أس سالي باتنين بالشكل اللي
+
+60
+00:06:12,380 --> 00:06:21,300
+عندنا بده يساوي واحد على إكس هذه مية عشرة تربيع
+
+61
+00:06:21,300 --> 00:06:28,120
+يعني اتنين لجة عشرة للأساس عشرة في اتنين أس لغة
+
+62
+00:06:28,120 --> 00:06:35,250
+رتم عشرة للأساس عشرةلو جينا نبسطها يبقى واحد زائد
+
+63
+00:06:35,250 --> 00:06:40,430
+إذا الأساس هذا هو الأساس هذا بيقول مين أنه بس ما
+
+64
+00:06:40,430 --> 00:06:47,390
+داخل ال log يبقى X أس سالي باتنين يساوي اتنين على
+
+65
+00:06:47,390 --> 00:06:51,890
+X و log ال X لل log عشر الأساس عشر اللي هو جداش
+
+66
+00:06:51,890 --> 00:06:59,750
+بواحد صحيحطيب بدنا نتخلص من الشغل هذه يبجى هذا أس
+
+67
+00:06:59,750 --> 00:07:05,010
+سالب شو رايك نضرب كله في X تربيع يعني لو ضربنا في
+
+68
+00:07:05,010 --> 00:07:10,510
+X تربيع نتخلص من مين؟ من الأس السالب يبجى هذا
+
+69
+00:07:10,510 --> 00:07:16,830
+الكلام بده يعطيلك ان X تربيع زائد واحد يساوي اتنين
+
+70
+00:07:16,830 --> 00:07:22,020
+XX تربيع في واحد ب X تربيع X تربيع في X السالب
+
+71
+00:07:22,020 --> 00:07:27,140
+اتنين ب X او ال zero اللي هو بواحد X تربيع مع ال X
+
+72
+00:07:27,140 --> 00:07:32,940
+بيضل X في البصر هذي لو اعاد ترتيبها بصير عندي X
+
+73
+00:07:32,940 --> 00:07:44,840
+تربيع المثال الرابع بيقولي find Y prime Y primefor
+
+74
+00:07:44,840 --> 00:07:55,620
+each of the following بدنا مشتقة كله مما يأتي نمرة
+
+75
+00:07:55,620 --> 00:08:05,820
+واحد Y تساوي E أس واحد زائد X تربية solution
+
+76
+00:08:09,320 --> 00:08:16,060
+الاشتقاق بسيط y prime يساوي ال exponential زي مهين
+
+77
+00:08:16,060 --> 00:08:22,960
+مضروبة في مين؟ في مشتقة الأس قداش مشتقة الأس؟ نقص
+
+78
+00:08:22,960 --> 00:08:32,970
+ومشتقة الأحد؟ Zero سؤال التانيY تساوي E أصين ال X
+
+79
+00:08:32,970 --> 00:08:42,390
+وكل هذا مضروب في لن X تربيع زائد واحد هذا يعتبر
+
+80
+00:08:42,390 --> 00:08:50,910
+مشتقة حاصل ضرب دالتين يبقى ال Y يساوي دالة الأولى
+
+81
+00:08:52,150 --> 00:08:57,810
+في مشتقة الدالة التانية مشتقة الان واحد على اللي
+
+82
+00:08:57,810 --> 00:09:05,130
+دخل الان في مشتقة ما دخل الان اللي هو بجداش باتنين
+
+83
+00:09:05,130 --> 00:09:11,210
+اكس الأولى مشتقة التانية الزائد التانيةفي مشتقة
+
+84
+00:09:11,210 --> 00:09:16,750
+الأول ال X بننشل زي ما هي ضرب مشتقة الأس اللي هو
+
+85
+00:09:16,750 --> 00:09:22,190
+man ب cosine ال X اختصارات مافيش خليها زي ما هي
+
+86
+00:09:22,190 --> 00:09:30,220
+واتوكل على اللهسؤال التالت بيقول لي Y تساوي تلاتة
+
+87
+00:09:30,220 --> 00:09:39,080
+logarithm للأساس تمانية لمين ل logarithm X للأساس
+
+88
+00:09:39,080 --> 00:09:43,520
+اتنين يبقى هذه مشتقة log ال log
+
+89
+00:09:48,470 --> 00:09:55,430
+وطلبنا منكم تحلوا مشتقة لن لن لن لن لن لن لن لن لن
+
+90
+00:09:55,430 --> 00:09:57,430
+لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن
+
+91
+00:09:57,430 --> 00:09:57,430
+لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن
+
+92
+00:09:57,430 --> 00:09:57,590
+لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن
+
+93
+00:09:57,590 --> 00:09:57,590
+لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن
+
+94
+00:09:57,590 --> 00:09:57,590
+لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن لن
+
+95
+00:09:57,590 --> 00:10:03,330
+لن لن لن لن لن لن لن لن لن لن لن
+
+96
+00:10:03,330 --> 00:10:03,570
+ل
+
+97
+00:10:10,500 --> 00:10:17,800
+واحد على X في لن اللي إيه؟ يبقى هذه أجتني كلها
+
+98
+00:10:17,800 --> 00:10:24,900
+اللي بين جثين كلها ده اللي كأنها U يبقى واحد على U
+
+99
+00:10:24,900 --> 00:10:32,220
+اللي هو ماني واحد على لج ال X للأساس اتنين في لن
+
+100
+00:10:32,220 --> 00:10:39,170
+التمانيةمصبوط هيك؟ في مشتقة اللي جوا ال log اللي
+
+101
+00:10:39,170 --> 00:10:43,390
+برا، يعني مشتقة ال log اللي في الداخل، مشتقة هذا
+
+102
+00:10:43,390 --> 00:10:47,870
+اللي هو 1 على X في الانتنين
+
+103
+00:10:50,010 --> 00:10:59,150
+نبسط هذا المقدار يساوي تلاتة على log X للأساس
+
+104
+00:10:59,150 --> 00:11:06,650
+اتنين لن تمانية للن اتنين تكييف يعني تلاتة في لن
+
+105
+00:11:06,650 --> 00:11:15,810
+اتنين يبقى هذا تلاتة في لن اتنينهذا واحد على اكس
+
+106
+00:11:15,810 --> 00:11:22,670
+في لن اتنين اظن تلاتة مع تلاتة طب هذا ال log x
+
+107
+00:11:22,670 --> 00:11:27,450
+للأساس اتنين مش عبارة عن لن ال X على لن اتنين يعني
+
+108
+00:11:27,450 --> 00:11:34,310
+لن اتنين بتطلع فوق يبقى بده يصير لن اتنين على لن
+
+109
+00:11:34,310 --> 00:11:42,740
+ال X هذه الأولانية بلانمينفي لن اتنين في من في اكس
+
+110
+00:11:42,740 --> 00:11:51,050
+في لن اتنينلن اتنين مع لن اتنين الله يسهل عليها
+
+111
+00:11:51,050 --> 00:11:58,370
+يبقى ضلة المسألة يساوي لن اتنين مضروبة في مين؟ في
+
+112
+00:11:58,370 --> 00:12:05,690
+X في لن ال X بس هذا المقارنة كله موجود وين؟ في
+
+113
+00:12:05,690 --> 00:12:12,130
+المقام يعني واحد على لن اتنين في X لن ال X يبقى
+
+114
+00:12:12,130 --> 00:12:21,260
+المشتقة هذه قابلةسؤال الرابع بيقول لي Y to say X
+
+115
+00:12:21,260 --> 00:12:31,200
+في خمسة أس X كله على اتنين ناقص لج ال X للأساس
+
+116
+00:12:31,200 --> 00:12:31,840
+خمسة
+
+117
+00:12:45,480 --> 00:12:53,680
+فكر طبعا هذه الدالة هي مشتقة خارج
+
+118
+00:12:53,680 --> 00:12:59,860
+قسم الدالتين يبقى هذا في calculus ايه فجينا نقول
+
+119
+00:12:59,860 --> 00:13:05,500
+مشتقة خارج قسم الدالتين والمقام في مشتقة البص ناقص
+
+120
+00:13:05,500 --> 00:13:10,960
+البص في مشتقة المقام على مربع المقام الأصلي يبقى
+
+121
+00:13:10,960 --> 00:13:12,560
+هنا solution
+
+122
+00:13:14,740 --> 00:13:24,840
+Y' تساوي المقام اتنين ناقص لج ال X للأساس خمسة في
+
+123
+00:13:24,840 --> 00:13:31,340
+مشتقة ال bus الباص خارج قص حاصل ضرب باليتين يبقى
+
+124
+00:13:31,340 --> 00:13:38,120
+الدالة الأولى مشتقة الدالة التانية خمسة كما X أس X
+
+125
+00:13:38,120 --> 00:13:43,600
+زي ما هي في لن الخمسةهي الأولى في مشتقة الدالة
+
+126
+00:13:43,600 --> 00:13:49,120
+الثانية زائد الدالة التانية في مشتقة الأولى اللي
+
+127
+00:13:49,120 --> 00:13:55,440
+هو جداش واحد صحيح لسه هذا المقام في مشتقة البصد
+
+128
+00:13:55,440 --> 00:14:05,360
+ناقص البصد اللي هو X في خمسة أس X في مشتقة المقام
+
+129
+00:14:05,820 --> 00:14:12,340
+مشتقة الاتنين بزيرو ومشتقة ال log ال X الأساس خمسة
+
+130
+00:14:12,340 --> 00:14:19,480
+بواحد على X في لن الخمسة بس بيشارات سالب السالب
+
+131
+00:14:19,480 --> 00:14:27,960
+هذا بيصير عندك ناقص واحد على X في لن الخمسة بالشكل
+
+132
+00:14:27,960 --> 00:14:35,210
+هذا كلهعلى مربع المقام الأصلي اتنين ماقص لق ال X
+
+133
+00:14:35,210 --> 00:14:41,010
+للأساس خمسة لكل كربيع لو طلعت الإشارة هادي مع هادي
+
+134
+00:14:41,010 --> 00:14:46,570
+وصارت بالموجب مافي مشكلة اختصارات مافي شيء بقى
+
+135
+00:14:46,570 --> 00:14:51,030
+بنخلي كل شيء زي ما هو بنمشي نوة ونضيع الوقت واحنا
+
+136
+00:14:51,030 --> 00:14:56,600
+بنجمع في المقدار تجميعطيب السؤال الرابع عادة هنا
+
+137
+00:14:56,600 --> 00:15:06,100
+السؤال الخامس Y تساوي تلت أس واحد أو تلتة أس واحد
+
+138
+00:15:06,100 --> 00:15:17,740
+على X تلتة أس واحد على X زائد تلتة أس تلتة X زائد
+
+139
+00:15:17,740 --> 00:15:18,260
+واحد
+
+140
+00:15:26,520 --> 00:15:31,280
+هذا مشتقت المجموعة الجابري لدالتين يبقى بيقول
+
+141
+00:15:31,280 --> 00:15:35,620
+مشتقت الدالة الأولى زائد مشتقت الدالة الثانية
+
+142
+00:15:35,620 --> 00:15:43,520
+مشتقت الدالة الأولى هي نفسها زي ما هي فاهمين؟ فلن
+
+143
+00:15:43,520 --> 00:15:49,040
+التلاتة في مشتقت الأس كدهش مشتقت واحد على اكس؟
+
+144
+00:15:56,040 --> 00:16:02,480
+بنفس التكتيك اللي اتبع مع الدالة
+
+145
+00:16:02,480 --> 00:16:08,200
+الاتانية زائد تلاتة اص تلاتة اكس زائد واحد في لن
+
+146
+00:16:08,200 --> 00:16:13,760
+التلاتة بمشتقة الاص اللي هو قداش تلاتة يبجي
+
+147
+00:16:13,760 --> 00:16:20,240
+اختصارات مافيهاش بنخليها كذلك زي ما هيسؤال السادس
+
+148
+00:16:20,240 --> 00:16:33,260
+Y تساوي تلاتة أستان ال X زائد log للأساس تلاتة
+
+149
+00:16:33,260 --> 00:16:40,580
+للجذر التالت لمين؟ لل X تكيّب زائد واحد
+
+150
+00:16:45,330 --> 00:16:50,470
+أظن يمكن تبسيط المسألة قبل إجراء عملية التفاضل
+
+151
+00:16:50,470 --> 00:16:57,110
+فبقدر أقول هذه تلاتة أستان ال X زي ما هي هذا
+
+152
+00:16:57,110 --> 00:17:05,590
+باعتبار جوز أس قداش التلف بيبقى زائد
+
+153
+00:17:05,590 --> 00:17:15,800
+تلت logarithm للأساس تلاتة لل X تكييب زائد واحدهذا
+
+154
+00:17:15,800 --> 00:17:20,080
+الحين ما نقدر نشتق بدون مشاكل يبقى هنا ال y prime
+
+155
+00:17:20,080 --> 00:17:29,560
+يساوي تلاتة أستان ال x في لن التلاتة خلصنا لسه بدك
+
+156
+00:17:29,560 --> 00:17:35,580
+تشتق من التان مشتقة التان اللي هي بستة تربيع ال x
+
+157
+00:17:35,580 --> 00:17:45,540
+زات تلت مالكش دعوةوهذه 1 على x تكيب زائد 1 في لن
+
+158
+00:17:45,540 --> 00:17:51,100
+التلاتة في مشتقة ال x تكيب ليه بالتلاتة x تربيه
+
+159
+00:17:51,100 --> 00:17:57,840
+ومشتقة الواحد بمين بزرهأذا في اختصار بنختصره تلاتة
+
+160
+00:17:57,840 --> 00:18:03,800
+أس تان ال X في لن التلاتة في سيك تربية ال X تلاتة
+
+161
+00:18:03,800 --> 00:18:08,900
+مع تلاتة الله يسهل عليها بضل عندي X تربية على X
+
+162
+00:18:08,900 --> 00:18:17,060
+تكييب زائد واحد في لن التلاتة السؤال
+
+163
+00:18:17,060 --> 00:18:23,340
+السابع بدنا Y تساوي X أس X
+
+164
+00:18:34,780 --> 00:18:40,100
+طبعا لو نظرنا لهذه الدالة بلاحظ أن الأساس متغير
+
+165
+00:18:40,100 --> 00:18:48,580
+والأس كذلك متغير تمام؟ أخدنا أمثلة قبل ذلك الأساس
+
+166
+00:18:48,580 --> 00:18:56,060
+متغير والأس متغير ال section الماضي أخدناه المرةيا
+
+167
+00:18:56,060 --> 00:18:59,040
+الله يا تاج الله أخدنا زيها وقلنا بناخد لن لأ
+
+168
+00:18:59,040 --> 00:19:03,720
+الطرفين وبعدين بنشتق، مظبوط؟ يبقى الطريقة الأولى
+
+169
+00:19:03,720 --> 00:19:08,480
+أنك تروح تاخد لن لأ الطرفين وتشتق وانا مادرسنا في
+
+170
+00:19:08,480 --> 00:19:15,540
+section 7-2، الآن 7-3 بدنا نطورك شويةبنضطر نشتغل
+
+171
+00:19:15,540 --> 00:19:19,700
+بطريقة السابعة اتنين نشتغل بطريقة اخرى و كده
+
+172
+00:19:19,700 --> 00:19:26,400
+طريقتين صحيح مافي مشكلة يبقى هذه لو حبيت احطها
+
+173
+00:19:26,400 --> 00:19:36,700
+بصيغة اخرى قلت x أس x هو تساوي e أس x في لن ال x
+
+174
+00:19:36,700 --> 00:19:44,010
+صح ولا غلطك تعالى نشوفهذا أُس جاب للن بقدر أخلي
+
+175
+00:19:44,010 --> 00:19:51,270
+أُس لمين للي جوا بيصير ايه أُس لن XO6 ليه ال لن مع
+
+176
+00:19:51,270 --> 00:19:58,750
+السلامة بضلمان XO6 يعني قعت صياغة هذه الدلة بطريقة
+
+177
+00:19:58,750 --> 00:20:04,770
+أخرى كتبتها بدللة ال exponential وماضطرتش أخد ال
+
+178
+00:20:04,770 --> 00:20:11,730
+لن زي ما كنا بنعمل في sectionسبعة اتنين يبقى هاي
+
+179
+00:20:11,730 --> 00:20:17,230
+الطريقة اخرى التنتين الطريقة تين صحيحة طيب بدأجي
+
+180
+00:20:17,230 --> 00:20:22,930
+اشتق يبقى باجي بقوله y prime يساوي مشتقة ال
+
+181
+00:20:22,930 --> 00:20:29,370
+exponential بال exponential itselfمضرب في مين؟ في
+
+182
+00:20:29,370 --> 00:20:36,630
+مشتقة الأس الأس حصل ضرب دالتين يبقى الدالة الأولى
+
+183
+00:20:36,630 --> 00:20:42,290
+في مشتقة الدالة الثانية مشتقة لإن ال X بواحد على X
+
+184
+00:20:42,290 --> 00:20:49,450
+زائد الدالة الثانية في مشتقة الأولى لهم قداش واحد
+
+185
+00:20:49,450 --> 00:20:56,290
+صحيح إذن النتيجة تساويبترجع هذه للأصل يتبعها،
+
+186
+00:20:56,290 --> 00:21:03,430
+الأصل يتبعها هو مين؟ XO6 يتجاهز XO6 هذه بتروح
+
+187
+00:21:03,430 --> 00:21:11,710
+معادي بوضع الواحد زائد لل Xإذا صرت مشتقة ال X وال6
+
+188
+00:21:11,710 --> 00:21:18,930
+هي X وال6 في 1 زائد من X يبقى هذه فريقة أخرى غير
+
+189
+00:21:18,930 --> 00:21:25,730
+تبع ال section 7-2 بناء عليه بدي أروح ل exercises
+
+190
+00:21:25,730 --> 00:21:37,170
+8Y تساوي اتنين أس X زائد واحد مرفوع للأس log X
+
+191
+00:21:37,170 --> 00:21:42,490
+للأساس اتنين يبقى
+
+192
+00:21:42,490 --> 00:21:49,090
+هذا الانجلسين متغير والأس كمانية متغير إذا يابتاخد
+
+193
+00:21:49,090 --> 00:21:53,650
+الليم للطرفين يابتروح تعمل مين الكلام اللي عملناه
+
+194
+00:21:53,650 --> 00:21:55,350
+هنا بالضبط تماما
+
+195
+00:21:58,170 --> 00:22:02,830
+يبقى بدي أحط هذه في صيغة جديدة الصيغة الجديدة وهي
+
+196
+00:22:02,830 --> 00:22:08,670
+Y تساوي E أس الـ
+
+197
+00:22:08,670 --> 00:22:18,250
+X للأساس
+
+198
+00:22:18,250 --> 00:22:27,730
+2 فلن 2 أس X زائد 1هذه ليش؟ هذه جاب لي ال len إذا
+
+199
+00:22:27,730 --> 00:22:32,750
+بقدر أخلب TGOS وE وLen عكس بعض بيصير الجوز مرفوع
+
+200
+00:22:32,750 --> 00:22:38,330
+ليه Slug هيو يبقى روحت كتبتها بشكل جديد يبقى هذا
+
+201
+00:22:38,330 --> 00:22:42,190
+التفتيك اللي عملته هنا هايا ده أنا عملته هنا تاني
+
+202
+00:22:42,190 --> 00:22:46,950
+إذا بتروح أشتق بنفس الطريقة يبقى بداجي أقوله ال Y
+
+203
+00:22:46,950 --> 00:22:52,590
+prime يسوي ال exponential زي ما هوماعنديها مشكلة
+
+204
+00:22:52,590 --> 00:23:00,250
+فاهمين؟ في لن اتنين أُس X زائد واحد في مشتقة الأُس
+
+205
+00:23:00,250 --> 00:23:05,550
+الأُس عبارة عن حاصل ضرب دالة تانية يبقى الدالة
+
+206
+00:23:05,550 --> 00:23:12,490
+الأولى في مشتقة الدالة التانية واحد على اتنين أُس
+
+207
+00:23:12,490 --> 00:23:20,610
+X زائد واحد في مشتقة مداخل اللن اللي هو بجداش2 أُس
+
+208
+00:23:20,610 --> 00:23:27,290
+X في لن 2 هذا الأولى في مشتقة الدالة الثانية زائد
+
+209
+00:23:27,290 --> 00:23:34,170
+الدالة الثانية 2 أُس X زائد 1 في مشتقة الأولى ل1
+
+210
+00:23:34,170 --> 00:23:38,310
+على X في لن 2
+
+211
+00:23:41,600 --> 00:23:46,160
+طيب يبقى هذا الكلام دي سابق دي ارجع هذه للاصل
+
+212
+00:23:46,160 --> 00:23:51,040
+بتباعها يبقى الاصل بتباعها اتنين اص اكس زائد واحد
+
+213
+00:23:51,040 --> 00:24:00,080
+اص لج الاكس للاساس اتنين في اللي هو من اتنين اص
+
+214
+00:24:00,080 --> 00:24:04,000
+اكس في الان اتنين في ال .. اه والله بتيجي فيه
+
+215
+00:24:04,000 --> 00:24:10,420
+اختصارات طب كويسبنعملها في لن اتنين هذه بقدر
+
+216
+00:24:10,420 --> 00:24:18,540
+اكتبها log ال X على من؟ على log اتنين يبجى لن ال X
+
+217
+00:24:18,540 --> 00:24:26,720
+على من؟ على لن اتنين في اتنين أُس X زائد واحد يبجى
+
+218
+00:24:26,720 --> 00:24:31,360
+هذه اتنين أُس X لن اتنين هي هذه لن ال X على لن
+
+219
+00:24:31,360 --> 00:24:37,200
+اتنين هذه الجثة نزلناها زي ما هنايبقى زائد لن
+
+220
+00:24:37,200 --> 00:24:45,120
+اتنين اص اكس زائد واحد كله مقسوما على اكس في لن
+
+221
+00:24:45,120 --> 00:24:51,580
+اتنين لن اتنين مع لن اتنين يبقى النتيجة دوري
+
+222
+00:25:13,850 --> 00:25:19,570
+سؤال التاسع تسعة
+
+223
+00:25:20,520 --> 00:25:30,860
+Y تساوي تكامل من E أس أربع جذر ال X ل E أس اتنين X
+
+224
+00:25:30,860 --> 00:25:38,760
+ل LN T DT ما
+
+225
+00:25:38,760 --> 00:25:44,640
+طلبش مني أكمل طلب أفاضل لكن لو كملت و رحت فدلت صح
+
+226
+00:25:44,640 --> 00:25:50,750
+بس حد فيكم يعرف يكمل LN T حتى هذه اللحظةطبعاً لأ،
+
+227
+00:25:50,750 --> 00:25:54,050
+لكن مرحبا بكم في الشتر الجامعي. في أول section
+
+228
+00:25:54,050 --> 00:25:59,810
+تمانية واحد، هنكامل من؟ لنا ال X DX. إذا احنا بدنا
+
+229
+00:25:59,810 --> 00:26:06,590
+نشتق اشتقاق مباشر و ليس من و ليس تكمل. إذا لو جات
+
+230
+00:26:06,590 --> 00:26:12,770
+أشتق، بدأ أقول له Y' تساوي. طبعاً هذه علاماتعلى
+
+231
+00:26:12,770 --> 00:26:16,810
+الـ Fundamental Theorem of Calculus ماعليه إلا
+
+232
+00:26:16,810 --> 00:26:21,250
+أشيل T و أضغط بدلها الدالة اللي فوق و أضغط فيه
+
+233
+00:26:21,250 --> 00:26:28,810
+مشتقة الدالة اللي فوق يبقى بصيرها دلن E أس اتنين X
+
+234
+00:26:28,810 --> 00:26:34,850
+في مشتقة الدالة اللي فوق E أس اتنين X زي ما هي في
+
+235
+00:26:34,850 --> 00:26:39,940
+اتنيناللي عملته للدل اللى فوق بيتروح تعمل لمن؟
+
+236
+00:26:39,940 --> 00:26:47,020
+للدل اللى تحت بس بإشارة سالب يبقى ناقص لان E أس
+
+237
+00:26:47,020 --> 00:26:53,740
+أربعة جذر ال X في مشتقة ال X بننشل بال X بننشل
+
+238
+00:26:53,740 --> 00:27:01,380
+نفسها ضرب مشتقة الأس أربعة وجذر ال X مشتقة واحد
+
+239
+00:27:01,380 --> 00:27:08,660
+على اتنين جذر ال Xنبسطها يبدو ايه؟ Prime تساوي
+
+240
+00:27:08,660 --> 00:27:16,560
+اتنين X في لن ال E لن ال E بقدرش؟ بواحد بصير عندك
+
+241
+00:27:16,560 --> 00:27:24,660
+اتنين X في اتنين في A أس اتنين X هذا ال term اللي
+
+242
+00:27:24,660 --> 00:27:32,570
+هوالterm التاني يبقى ناقص أربعة جذر ال X في لن ال
+
+243
+00:27:32,570 --> 00:27:39,270
+E اللي هو بواحد مع السلمة في من في E أس أربعة جذر
+
+244
+00:27:39,270 --> 00:27:48,300
+ال X على من في اتنين على جذر ال Xاختصرنا الاتنين
+
+245
+00:27:48,300 --> 00:27:52,180
+مع الأربعة بضل اتنين على جدر ال X لا يزال في
+
+246
+00:27:52,180 --> 00:27:58,220
+اختصارات جدر ال X مع جدر ال X مع السلامة يبقى بده
+
+247
+00:27:58,220 --> 00:28:07,560
+يصير عندنا اربعة X في E أس اتنين X E أس اتنين X و
+
+248
+00:28:07,560 --> 00:28:14,500
+هنا ناقص تمانية E أس اربعة جدر ال X
+
+249
+00:28:38,710 --> 00:28:48,850
+حابل ويتساول هنا قال بس يسأل يرفع يده فوق اهولا
+
+250
+00:28:48,850 --> 00:28:56,570
+واحد اللي بيعده يبقى
+
+251
+00:28:56,570 --> 00:29:01,890
+السؤال عشرة Y
+
+252
+00:29:01,890 --> 00:29:14,410
+تساوي log للأساس اتنين لل sign X على تلاتة كل هذا
+
+253
+00:29:14,410 --> 00:29:16,910
+الكلام الكل تكيب
+
+254
+00:29:26,490 --> 00:29:30,570
+أبقى هنا مافيش تبصير، بدنا نشتق مباشرة
+
+255
+00:29:42,540 --> 00:29:49,360
+يبقى هذا قوس مرفوه لأس. نقول الأس في القوس مرفوه
+
+256
+00:29:49,360 --> 00:29:54,440
+لنفس الأس، مطروح من واحد في مشتقة ما داخل القاس.
+
+257
+00:29:54,940 --> 00:30:00,500
+يبقى واحد crime تساوي هذا الأس و هذا القوس.
+
+258
+00:30:04,480 --> 00:30:09,560
+مرفوعة لنفس القص مطروح من الواحد يبقى صار تربية في
+
+259
+00:30:09,560 --> 00:30:16,100
+مشتقة مداخل القوس مداخل القوس اللي هو واحد على هذا
+
+260
+00:30:16,100 --> 00:30:20,820
+ال log ال U للأساس اتنين يبقى واحد على U في ال N
+
+261
+00:30:20,820 --> 00:30:29,400
+اتنين في DU على DX يبقى واحد على sign X على تلاتة
+
+262
+00:30:29,720 --> 00:30:36,740
+فى الـ N اتنين فى مشتقة من الـ sine اللى هو كو صين
+
+263
+00:30:36,740 --> 00:30:45,040
+X على تلاتة ضرب مشتقة الزمن اللى يبقى تلت طبعا تلت
+
+264
+00:30:45,040 --> 00:30:51,300
+مع تلاتة الله يسهل عليها يبقى صارت المسألة log
+
+265
+00:30:51,300 --> 00:30:58,160
+للأساس اتنين لصين X على تلاتة لكل تربية
+
+266
+00:31:09,570 --> 00:31:15,430
+السؤال الخامس والأخير على هذا ال section بقول
+
+267
+00:31:15,430 --> 00:31:19,730
+evaluate the following
+
+268
+00:31:28,260 --> 00:31:32,180
+أول تكامل من هذه التكاملات
+
+269
+00:31:35,260 --> 00:31:45,060
+من zero لغاية الجدري التربيعي لإن البي لإتنين X E
+
+270
+00:31:45,060 --> 00:31:53,060
+أس X تربية كوصين E أس X تربية في DX
+
+271
+00:32:01,340 --> 00:32:05,960
+طبعا اللى بشوف السؤال بالكبير هدا ايه بنخرع لكن هو
+
+272
+00:32:05,960 --> 00:32:11,600
+بسيط جدا ومافيش فيه اي اشكالية من اللى مصعب المثلة
+
+273
+00:32:11,600 --> 00:32:17,180
+او من اللى وضعها مش طبيعي في المثلة ال EO6 تربية
+
+274
+00:32:17,180 --> 00:32:20,540
+احنا بيقول cosine theta cosine X دايما مقولش
+
+275
+00:32:20,540 --> 00:32:25,340
+cosine EO6 تربية اذا هدى بدي اشيلها واحط بدلها اي
+
+276
+00:32:25,340 --> 00:32:32,870
+متغير اخرإذا لو حطيت θ تساوي E أُس X تربيع وحبيت
+
+277
+00:32:32,870 --> 00:32:40,610
+أشتقها Dθ مشتقة ال X بننشل بال X بننشل نفسها ضرب
+
+278
+00:32:40,610 --> 00:32:49,870
+مشتقة الأس اللي هو ب2X DX يبقى 2X E أُس X تربيع مع
+
+279
+00:32:49,870 --> 00:32:57,910
+ال DX هذه كلها هيبقدر أشيلها و أقبلها دي ثيتا يبقى
+
+280
+00:32:57,910 --> 00:33:06,830
+صار تكامل ل cos θ دي ثيتاحطنا تعويضة بيدغير حدود
+
+281
+00:33:06,830 --> 00:33:12,070
+التكامل طبقا للتعويضة لأن هذا الحدود للمتغير X
+
+282
+00:33:12,070 --> 00:33:17,870
+بيدشوف ما هي الحدود المناظرة للمتغير فاتا اذا
+
+283
+00:33:17,870 --> 00:33:24,970
+بيدشيل ال X وحط مكانها الجذر التربيعي لمن ال Yيبقى
+
+284
+00:33:24,970 --> 00:33:28,170
+الجدر التربيعي مع التربيع الله سبحانه وتعالى بصير
+
+285
+00:33:28,170 --> 00:33:36,250
+E أس لن ال باي ال يبقى ب باي ال سل حطها زيرو بصير
+
+286
+00:33:36,250 --> 00:33:40,250
+E أزيرو لواحد يبقى من واحد لبعض
+
+287
+00:34:04,330 --> 00:34:14,060
+تكامل الثاني نمر اتنينبعد ما تكامل E أسالب واحد
+
+288
+00:34:14,060 --> 00:34:21,380
+على X تربيع على X تكييب كله بالنسبة إلى DX
+
+289
+00:34:26,490 --> 00:34:31,730
+بارضه تجيش مباشرة في شغلة بدها تعويضها في الأول من
+
+290
+00:34:31,730 --> 00:34:36,530
+اللي وضحها مش طبيعي ايه؟ لو سالب واحد على اكس
+
+291
+00:34:36,530 --> 00:34:39,390
+ترمية احنا بقول ايه ال six دايما، مابقولش ايه سالب
+
+292
+00:34:39,390 --> 00:34:42,310
+واحد على اكس ترمية، اذا بدي اشيل سالب واحد على اكس
+
+293
+00:34:42,310 --> 00:34:47,950
+ترمية و احطها بأي متغير اخر، اذا لو حطيتي T تساوي
+
+294
+00:34:47,950 --> 00:34:54,910
+سالب واحد على اكس ترمية، يعني دي T تساوي جداكأتنين
+
+295
+00:34:54,910 --> 00:35:01,590
+على X تكييب DX يعني سالب X أث ناقص اتنين بصير
+
+296
+00:35:01,590 --> 00:35:07,130
+اتنين X أث ناقص تلاتة DX يعني اتنين على X تكييب DX
+
+297
+00:35:07,130 --> 00:35:13,250
+ماعنديش اتنينات إذا بضرب كله في نص DT بدي ساوي
+
+298
+00:35:13,250 --> 00:35:18,570
+واحد على X تكييب DX واحد على X تكييب DX اللي بدي
+
+299
+00:35:18,570 --> 00:35:25,030
+أشيله و أكتب بالهم نص DTيبقى هاي النص برا و تكامل
+
+300
+00:35:25,030 --> 00:35:31,510
+E أس T D T ولا بسيط ولا حاجة تكامل ال X بننشل بال
+
+301
+00:35:31,510 --> 00:35:36,590
+X بننشل itself زائد constant C بنشيل ال T و
+
+302
+00:35:36,590 --> 00:35:42,370
+بنكتبها بدلالة X يبقى نص E أس ماقص واحد على X
+
+303
+00:35:42,370 --> 00:35:47,730
+ترمية زائد constant C example 3
+
+304
+00:35:50,410 --> 00:35:59,670
+بيقول لي بدي تكامل واحد زائد ايه؟ أس كتان ال X كل
+
+305
+00:35:59,670 --> 00:36:05,810
+هذا في كسيكن تربيع ال X في ال DX
+
+306
+00:36:09,280 --> 00:36:15,160
+هتطلع على الدالة هذه وشوف لإيش الصعوبة فيها، يعني
+
+307
+00:36:15,160 --> 00:36:19,540
+وين الصعوبة في هذه المسألة أو مين اللي وضعها مش
+
+308
+00:36:19,540 --> 00:36:25,640
+طبيعي، عشان نتخلص منها ونحطها بمتغير جديد ونحول
+
+309
+00:36:25,640 --> 00:36:30,400
+مسألتنا كلها بدلالة هذا المتغير الجديد
+
+310
+00:36:32,820 --> 00:36:36,240
+نهيت أن تفضل كتان كتان كتان كتان كتان كتان كتان
+
+311
+00:36:36,240 --> 00:36:36,400
+كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان
+
+312
+00:36:36,400 --> 00:36:41,080
+كتان كتان كتان كتان كتان كتان كتان كتان كتان كتان
+
+313
+00:36:41,080 --> 00:36:48,400
+كتان كتان كتان كتان كتان
+
+314
+00:36:48,400 --> 00:36:52,960
+كتان كتان
+
+315
+00:36:53,960 --> 00:37:03,580
+سالب DY يبقى هذا السالب برا ويتكامل 1 زائد E أس Y
+
+316
+00:37:03,580 --> 00:37:13,640
+في الـ DYبسيطة يبقى ناقص y ناقص e أس y زائد
+
+317
+00:37:13,640 --> 00:37:19,040
+constant c الواحد تكمله ب y و ال e أس y ب e أس y و
+
+318
+00:37:19,040 --> 00:37:23,740
+السلف دخلته على الاتنين و أضافنا زائد constant c
+
+319
+00:37:23,740 --> 00:37:28,460
+يبقى هذا الكلام يساوي النقص بدنا نشيل ال y و نحط
+
+320
+00:37:28,460 --> 00:37:30,060
+بدل قيمة الهمين
+
+321
+00:37:41,260 --> 00:37:47,560
+سؤال الرابع بيقول
+
+322
+00:37:47,560 --> 00:37:48,960
+يبدوا تكامل
+
+323
+00:37:53,300 --> 00:38:02,260
+سؤال الرابع يبدو تكامل E أس اتنين X على E أس X
+
+324
+00:38:02,260 --> 00:38:08,100
+ناقص واحد DX يلا
+
+325
+00:38:08,100 --> 00:38:16,100
+اختاروا علينا نشوف كيف نعمل في هذا السؤال اللي
+
+326
+00:38:16,100 --> 00:38:20,720
+فوق E أس اتنين X و اللي تحت E أس X ناقص واحد
+
+327
+00:38:23,790 --> 00:38:29,210
+أيش بتقترحوا؟ مين اللي بيعطي الصحوبة للبسله؟ لأ
+
+328
+00:38:29,210 --> 00:38:34,110
+بدي اللي بيعرف يرفع عيده فوق، ايه؟ فبطل حينك و
+
+329
+00:38:34,110 --> 00:38:39,750
+خلاص فكر، بطل يعرف، اه اقول يا ابن ايه؟عفر ال EOX
+
+330
+00:38:39,750 --> 00:38:46,650
+بقدرش؟ بواي يعني بدي تحط ال EO6 بمتغير جديد فاهم
+
+331
+00:38:46,650 --> 00:38:51,890
+يعني؟ بدي يصير عندك EO6 في EO6 يعني بصير Y تربيع
+
+332
+00:38:51,890 --> 00:38:58,870
+على Y ناقص واحد كلهم صح، بس في عندي أسهل من هيك
+
+333
+00:39:01,250 --> 00:39:05,330
+المقام كله بدي أشيله و أحطه بمتغير جديد وبالتالي
+
+334
+00:39:05,330 --> 00:39:09,350
+الكلام منطقي بس هلأ شوف ايش اللي بصير هذه بقدر
+
+335
+00:39:09,350 --> 00:39:16,810
+اكتبها تكامل E أس X في E أس X على E أس X ناقص واحد
+
+336
+00:39:16,810 --> 00:39:23,710
+في DX بهذا الشكل تمام؟يبقى بداية اقوله حط ال T
+
+337
+00:39:23,710 --> 00:39:29,010
+تساوي E of C T و ال E of C اسمه اكتر اكتر بقالة T
+
+338
+00:39:29,010 --> 00:39:36,410
+زائد ال واحد يبقى بصير تكامل ل T زائد ال واحد و
+
+339
+00:39:36,410 --> 00:39:43,530
+المقام كله حطيته ب T و هذا ضال عندي قداش DTأو
+
+340
+00:39:43,530 --> 00:39:48,470
+بمعنى آخر هو integration ل T على T التي هي بواحد
+
+341
+00:39:48,470 --> 00:39:53,650
+زائد واحد على T كله بالنسبة الى DT
+
+342
+00:39:58,260 --> 00:40:04,340
+تكمل الواحد هو ب T و تكمل واحد على T لن absolute
+
+343
+00:40:04,340 --> 00:40:10,160
+value ل T زائد constant C يبقى هذا الكلام
+
+344
+00:40:10,160 --> 00:40:16,720
+بالدرساوي T عمنا فرضه بمان ب EO6 ناقص واحد يبقى
+
+345
+00:40:16,720 --> 00:40:25,260
+EO6 ناقص واحد زائد لن لل EO6 ناقص واحد زائد
+
+346
+00:40:25,260 --> 00:40:31,970
+constant Cطلع لي لو كان هذا السؤال في الكتاب و
+
+347
+00:40:31,970 --> 00:40:35,610
+روحنا نشوف إجابته كان فيه إجابة بالكتاب بلّا جهاش
+
+348
+00:40:35,610 --> 00:40:39,150
+بالشك اللي عندنا أنا بتروح تقولي انت و الله حالي
+
+349
+00:40:39,150 --> 00:40:43,410
+غلط، بقولك لأ حالك صح مائة بالمائة، لكن هذا هاها
+
+350
+00:40:44,370 --> 00:40:48,670
+وهذا اتنين كل استنث يبقى ايش ده اقول اتنين كل
+
+351
+00:40:48,670 --> 00:40:52,010
+استنث و بيكفنه كل استنث واحد يبقى بشيل اتنين مكان
+
+352
+00:40:52,010 --> 00:40:57,410
+بعض مع بعض و بحط بدل ما كل استنث واحد يبقى الجواب
+
+353
+00:40:57,410 --> 00:41:05,700
+يسوي 6زائد لن absolute value of EO6-1 زائد كمصطند
+
+354
+00:41:05,700 --> 00:41:12,900
+C1 والـ C1 بدّي يساوي C-1 يبقى لو روحت على الكتاب
+
+355
+00:41:12,900 --> 00:41:18,080
+بتلاقي الإجابة هذه وبتلاقيش الإجابة اللي منها أوفر
+
+356
+00:41:18,080 --> 00:41:25,790
+حاجة بدي أسألك سؤال؟عطيك سؤال مشابه بس بفكرة أحلى
+
+357
+00:41:25,790 --> 00:41:34,210
+شوية كمان يبقى هاي سؤال خمسة بدنا تكامل لمين لواحد
+
+358
+00:41:34,210 --> 00:41:41,130
+على واحد زائد ديو سيكس دي إكس يالا
+
+359
+00:41:41,130 --> 00:41:45,950
+فكر فيه واقترح علينا كيف نحل هذا السؤال
+
+360
+00:41:55,720 --> 00:41:59,820
+هي يا شباب نضرب
+
+361
+00:41:59,820 --> 00:42:05,660
+E Os X علي E Os X بس أنا عندي E Os X علي E Os X زي
+
+362
+00:42:05,660 --> 00:42:13,560
+E Os 2X ايش استفدنا منها فكرته صح بس انا بتصليح
+
+363
+00:42:13,560 --> 00:42:18,920
+حاله بدل ما تضرب في E Os X هضرب في E Os ناقص X و
+
+364
+00:42:18,920 --> 00:42:23,300
+اجسم علي E Os ناقص Xكأنني ضرب في جداش في واحد صحيح
+
+365
+00:42:23,300 --> 00:42:29,480
+هذه بتحل الإشكالية كيف لو روحت ضربت في E أس سالب X
+
+366
+00:42:29,480 --> 00:42:34,400
+و بسمت على E أس سالب X يبقى كأنني ضرب في جداش في
+
+367
+00:42:34,400 --> 00:42:39,600
+واحد صحيح يبقى هذه بصير integration ل E أس سالب X
+
+368
+00:42:39,600 --> 00:42:45,400
+في DX على ال E أس سالب X E أس X في E أس سالب X و E
+
+369
+00:42:45,400 --> 00:42:52,210
+أس Zero في جداش بواحدطب هل ال bus هو تفاضل المقام؟
+
+370
+00:42:52,210 --> 00:42:57,810
+بس بده إشارة قداش؟ سالب، لو في إشارة سالب في ال
+
+371
+00:42:57,810 --> 00:43:02,790
+bus ما أصبح ال bus هو مشتقة المقام، يقولك بسيطة
+
+372
+00:43:02,790 --> 00:43:09,250
+هاي سالب برا وهاي سالب جوا على إيه السلب X زائد
+
+373
+00:43:09,250 --> 00:43:15,490
+واحد في الدرجة X على ال bus هو مشتقة؟المقام يبقى
+
+374
+00:43:15,490 --> 00:43:23,390
+سالب لل absolute value لل EOS نقص 6 زي 1 زي
+
+375
+00:43:23,390 --> 00:43:30,380
+constant C هل ضروري اكتب ال absolute value هذا؟ليس
+
+376
+00:43:30,380 --> 00:43:34,240
+بسبب هو ال exponential موجب زائد واحد يبقى قيمة
+
+377
+00:43:34,240 --> 00:43:38,440
+موجبة كتبت ال absolute والله ما كتبتوش مافيش مشكلة
+
+378
+00:43:38,440 --> 00:43:43,240
+واحد تاني فكر في نفسي المسألة بطريقة أخرى راح قال
+
+379
+00:43:43,240 --> 00:43:44,700
+another solution
+
+380
+00:43:48,520 --> 00:43:53,180
+قلنا له أيها قال بدل ما ضربت و قسمت انا لأ لابد
+
+381
+00:43:53,180 --> 00:43:56,980
+يضرب ولا بدي اقسم بدي اضيف و اطرح بدي اخد
+
+382
+00:43:56,980 --> 00:44:01,280
+العمليتين الجبريتين الأخرين ضربوا جسم مابديش بدي
+
+383
+00:44:01,280 --> 00:44:06,260
+اخد جامعة و اطرح بقول له أيها قال المسألة هذهها هي
+
+384
+00:44:06,260 --> 00:44:15,090
+تكامل واحد على واحد زائد EOS6قال لي بدي أضيف EO6 و
+
+385
+00:44:15,090 --> 00:44:22,570
+أطرح EO6 قلنا له مافيش مشكلة قال لي زائد EO6 ناقص
+
+386
+00:44:22,570 --> 00:44:28,620
+EO6 كله في DX قلنا له و الله تمامجالي هذا كله
+
+387
+00:44:28,620 --> 00:44:34,140
+بالدقة و ككتلة واحدة على هذا بجد ايش؟ واحد، يبقى
+
+388
+00:44:34,140 --> 00:44:39,560
+واحد، ناقص، هذه على هذه، هذا ايه والسكس على واحد
+
+389
+00:44:39,560 --> 00:44:46,000
+زائد ايه والسكس كله في dx، مظبوط هكذا؟ قلنا له
+
+390
+00:44:46,000 --> 00:44:51,440
+تمام تمام، جابت كم للواحد؟ باكس، البسطى فاجل
+
+391
+00:44:51,440 --> 00:44:59,610
+المقام؟صح ولا لأ؟ يبقى لان واحد زائد EO6 زائد
+
+392
+00:44:59,610 --> 00:45:04,430
+كونستانسيوم ما كتبتش absolutely لأن هذا موجب باق
+
+393
+00:45:04,430 --> 00:45:09,930
+منهم، بيطلع، بيقولي طب الجواب هذا مش زي هذابنقول
+
+394
+00:45:09,930 --> 00:45:14,490
+لك بسيطة تقدر تحوّل هذه الجواب إلى من؟ الإجابة هذه
+
+395
+00:45:14,490 --> 00:45:21,130
+كيف؟ good exercise لك تروح تكتب ليها توصلي الإجابة
+
+396
+00:45:21,130 --> 00:45:26,110
+هذه للإجابة هذه بتقولي هذه ناقص لين وتوصي اتفاق
+
+397
+00:45:26,110 --> 00:45:32,190
+ناحنا وياك انه لا داعي لل absolute value واحد عليه
+
+398
+00:45:32,190 --> 00:45:39,510
+ال six زائد واحد زائد constant Cأو يساوي ناقص لن
+
+399
+00:45:39,510 --> 00:45:45,410
+واحد زائد EO6 كله على EO6 زائد من constant C
+
+400
+00:45:45,410 --> 00:45:49,910
+واتروح تكمل لن البسط ناقص لن المقام مع ناقص بشيء
+
+401
+00:45:49,910 --> 00:45:54,370
+زائد و لن المقام ب X هيها طلعت و بضر ناقص لن البسط
+
+402
+00:45:54,370 --> 00:46:06,290
+يالا كملها بسهولة قبليني لسؤال السادس ستةتكامل P
+
+403
+00:46:06,290 --> 00:46:18,350
+أوسك X عالمين على cosine X في كوتان X بالنسبة الى
+
+404
+00:46:18,350 --> 00:46:22,310
+DX فكر
+
+405
+00:46:22,310 --> 00:46:26,890
+برضه شو بدنا نعمل في هذا السؤال مشان نقدر نقومله
+
+406
+00:46:26,890 --> 00:46:37,380
+بعملية ايه التكامل برضه نفس الطريقةهل يمكن كتابة
+
+407
+00:46:37,380 --> 00:46:42,540
+السؤال بطريقة أخرى يعني بدّيش اي حاجة اللي قامت ده
+
+408
+00:46:42,540 --> 00:46:50,660
+خلّيها كلها في البصر يعني هذا بقدر أقول تكامل E أو
+
+409
+00:46:50,660 --> 00:46:58,220
+سك ال X فيه واحد عكسان الهدمان بسك يبقى هذا سك ال
+
+410
+00:46:58,220 --> 00:47:06,580
+X واحد عكتان الهدمان بتان ال X DXمشكلة مع من؟ مع
+
+411
+00:47:06,580 --> 00:47:15,100
+سك يبقى لو حطينا ال U تساوي سك ال X يبقى DU بسك ال
+
+412
+00:47:15,100 --> 00:47:20,980
+X في تاني ال X في DX إذا بقدر أشيل هذا كله و أكتر
+
+413
+00:47:20,980 --> 00:47:27,620
+بدالة من DU يبقى سارة كامل A O C U DU
+
+414
+00:47:39,940 --> 00:47:45,520
+سؤال السابع بدنا
+
+415
+00:47:45,520 --> 00:47:58,210
+تكامللدي x على x في log ال x للأساس تمانية لكل
+
+416
+00:47:58,210 --> 00:47:59,510
+تربيع
+
+417
+00:48:04,980 --> 00:48:10,020
+لوك في التكامل يعني مش درجة معانا كتير لكن بقدر
+
+418
+00:48:10,020 --> 00:48:17,480
+اكتبه بدلالة main لن يبقى هذا integration ل dx على
+
+419
+00:48:17,480 --> 00:48:25,440
+x لن ال x الكل ترابيع على لن تمانية الكل ترابيع
+
+420
+00:48:26,190 --> 00:48:32,470
+يعني لن ال X على لن تمانية لكل تربيع هذا الكلام
+
+421
+00:48:32,470 --> 00:48:37,990
+بده يساوي اظن هذا الكاسر لن تمانية لكل تربيع بطلع
+
+422
+00:48:37,990 --> 00:48:44,970
+فوق وبقدر اخد مين برا التكامل يبجى لن تمانية لكل
+
+423
+00:48:44,970 --> 00:48:55,840
+تربيع في تكامل لدي X على X في لن ال X لكل تربيعلن
+
+424
+00:48:55,840 --> 00:49:02,440
+ثمانية لتنين تكييب، يعني تلاتة لن اتنين يساوي
+
+425
+00:49:02,440 --> 00:49:10,360
+تلاتة لن اتنين الكل تربيع، في تكامل هذا كمان واضح
+
+426
+00:49:10,360 --> 00:49:16,180
+مش عاجبني، ايش رأيك هذه كلها؟ دي X على X، أليست
+
+427
+00:49:16,180 --> 00:49:23,700
+مشتقة لن ال X؟يبقى بقدر اكتب هذه مشتقة لن الاكس
+
+428
+00:49:23,700 --> 00:49:29,140
+على لن الاكس لكل ترفيع عملتها لكوا في كالكلصية
+
+429
+00:49:29,140 --> 00:49:34,200
+صحيح ولا لأ يبقى نفس التكتيك خايف تغلط شيل لن
+
+430
+00:49:34,200 --> 00:49:39,140
+الاكس وحطه بأي متغيّريبقى أشيل لن ال X و أضعه بأي
+
+431
+00:49:39,140 --> 00:49:45,360
+متغير على طول الخط يعني بدك تضع لي W تساوي لن ال X
+
+432
+00:49:45,360 --> 00:49:50,880
+يبقى DW بواحد على X DX ماعناه مشكلة يبقى بصيها دي
+
+433
+00:49:50,880 --> 00:49:56,310
+DW على W تربيةصحيح ولا لأ؟ يبقى هذا الكلام بدي
+
+434
+00:49:56,310 --> 00:50:03,370
+ساوي تسعة لن اتنين لكل تربيع مشتقت هذا المقدار
+
+435
+00:50:03,370 --> 00:50:13,050
+سالب واحد على لن ال X زائد constant C خلاص؟
+
+436
+00:50:14,450 --> 00:50:18,450
+حد اللي له التساول هنا؟ اختصارات مافيش بيخليها
+
+437
+00:50:18,450 --> 00:50:24,190
+زميل، لا يزال ان بدل التتامل تلاتة للمرة القادمة
+
+438
+00:50:24,190 --> 00:50:25,930
+ان شاء الله تعالى
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/yc5RE5HwE40_postprocess.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/yc5RE5HwE40_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..23d49f43965145adaf9bab96e3b7637945b02821
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/yc5RE5HwE40_postprocess.srt
@@ -0,0 +1,1832 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,190 --> 00:00:14,890
+بسم الله الرحمن الرحيم نكمل ما ابتدأنا به في المرة
+
+3
+00:00:14,890 --> 00:00:19,670
+الماضية وهي سيكشن عشرة واحد infinite sequences
+
+4
+00:00:19,670 --> 00:00:24,610
+طبعا أخدنا غالب ال sections وبقيت نقطتان صغيرتان
+
+5
+00:00:24,610 --> 00:00:29,230
+النقطة الأولى the sequence a in is called
+
+6
+00:00:29,230 --> 00:00:30,190
+monotonic
+
+7
+00:00:34,330 --> 00:00:40,830
+بالطبع نرجع إلى ما سبق دراسته بالنسبة للفункشنز
+
+8
+00:00:40,830 --> 00:00:45,310
+نذكر في كالكولاس ايه؟ خدنا الـ monotonic function
+
+9
+00:00:49,190 --> 00:00:53,870
+إذا كانت increasing أو decreasing، لكن الأثنين مع
+
+10
+00:00:53,870 --> 00:00:58,370
+بعض، لأ ليست monotonic وهذا ما درسناه في calculus
+
+11
+00:00:58,370 --> 00:01:03,650
+A اللي هانيجي لل series نفس، ال sequences نفس
+
+12
+00:01:03,650 --> 00:01:08,250
+المفهوم ال sequence بقول عنها monotonic إن كانت
+
+13
+00:01:08,250 --> 00:01:13,790
+increasing على طولأو decreasing على طول واحدة منهم
+
+14
+00:01:13,790 --> 00:01:18,510
+مش الاتنين فمثلا لو جاتي قولت ال sequence ثلاثة
+
+15
+00:01:18,510 --> 00:01:22,730
+على ان زاد واحد بدي ابحث هل هي monotonic والله
+
+16
+00:01:22,730 --> 00:01:27,190
+ماهياش monotonic اذا بدي اشوف هل هي increasing
+
+17
+00:01:27,190 --> 00:01:31,950
+والله decreasing يبقى ال sequence هذه بقدر اقول
+
+18
+00:01:31,950 --> 00:01:40,120
+عليها is decreasing decreasing ليش؟ becauseتعالى
+
+19
+00:01:40,120 --> 00:01:45,100
+شوف الحد النونى الحد النونى اللى هو تلاتة على N
+
+20
+00:01:45,100 --> 00:01:51,980
+زائد واحد خد للحد النونى زائد واحد الحد اللى يليه
+
+21
+00:01:51,980 --> 00:01:59,200
+يبقى هو تلاتة على N زائد واحد زائد واحد يبقى تلاتة
+
+22
+00:01:59,200 --> 00:02:04,860
+على N زائد اتنين من اللى اكبر ال term الاول ولا ال
+
+23
+00:02:04,860 --> 00:02:11,080
+term التانىالأول أكبر لأن مقامه أقل كل ما يصغر
+
+24
+00:02:11,080 --> 00:02:16,700
+المقام بزيد الكثير يبقى الحد الأول هذا اللي هو An
+
+25
+00:02:16,700 --> 00:02:22,960
+أكبر من الحد التاني اللي هو An زائد واحدما دام هيك
+
+26
+00:02:22,960 --> 00:02:29,260
+يبقى ال series هادي تنازلية على تسعودية تنازلية
+
+27
+00:02:29,260 --> 00:02:34,380
+يعني decreasing تناقصية يبقى هادي decreasing
+
+28
+00:02:34,380 --> 00:02:40,560
+because الحد النوني دائما و أفدا أكبر من من الحد
+
+29
+00:02:40,560 --> 00:02:47,300
+النوني زائد واحدلكل إن اللي أكبر من أو تسوى من
+
+30
+00:02:47,300 --> 00:02:50,680
+واحد لإنه قولنا ال sequence بتبدأ من عند الواحد
+
+31
+00:02:50,680 --> 00:02:55,120
+اتنين تلاتة إلى آخرين تمام؟ يبقى هذه ال sequence
+
+32
+00:02:55,120 --> 00:03:02,140
+بناء عليه is monotonic يبقى هنا الساعة ال sequence
+
+33
+00:03:02,140 --> 00:03:09,840
+اللي هي من؟ اللي هي تلاتة على إن plus one is
+
+34
+00:03:09,840 --> 00:03:12,660
+monotonic
+
+35
+00:03:18,570 --> 00:03:23,970
+طيب نجرح اللقطة الأخيرة من هذا ال section وهي
+
+36
+00:03:23,970 --> 00:03:29,610
+نظرية، theorem النص
+
+37
+00:03:29,610 --> 00:03:42,850
+بيقول مات if a sequence a, m is both bounded
+
+38
+00:03:49,210 --> 00:03:57,970
+مو نوتونيك ومو
+
+39
+00:03:57,970 --> 00:04:02,670
+نوتونيك ثم
+
+40
+00:04:02,670 --> 00:04:06,890
+ثم
+
+41
+00:04:06,890 --> 00:04:13,490
+الترتيب يتحرك تحرك
+
+42
+00:04:13,490 --> 00:04:14,410
+كل ترتيب
+
+43
+00:04:19,130 --> 00:04:25,350
+محظو المظهر السابق ماكنتش هيك كان بيشترق شرطين انه
+
+44
+00:04:25,350 --> 00:04:31,230
+تبقى ال sequence non decreasing يعني increasing او
+
+45
+00:04:31,230 --> 00:04:36,270
+constant sequence و bounded from above إذا تحقق
+
+46
+00:04:36,270 --> 00:04:40,790
+هذان الشرطان يبقى بقول ان ال sequence convergent
+
+47
+00:04:40,790 --> 00:04:45,670
+مااشترتش لقلي increasing ولا لقلي bounded فقط
+
+48
+00:04:45,930 --> 00:04:50,510
+وكونوا bounded يعني bounded from above and bounded
+
+49
+00:04:50,510 --> 00:04:56,190
+from below من الناحيتين بقول bounded وبسكت طبعا
+
+50
+00:04:56,190 --> 00:05:01,470
+طيب إذا ال sequence هذه كانت bounded وفي نفس الوقت
+
+51
+00:05:01,470 --> 00:05:06,330
+كانت monotonic يعني إما increasing أو decreasing
+
+52
+00:05:06,330 --> 00:05:10,650
+يبقى في هذه الحالة تكون ال sequence معاها convert
+
+53
+00:05:10,650 --> 00:05:13,350
+نعطي مثال على ذلك example
+
+54
+00:05:18,180 --> 00:05:28,560
+لو أخدنا الـ sequence مثلا 1 على N² 1 على N تربية
+
+55
+00:05:28,560 --> 00:05:32,780
+بالشكل اللي عندنا هذا اللي هو main اللي هي عبارة
+
+56
+00:05:32,780 --> 00:05:42,920
+عن 1 و 4 و 9 1 على 16 و إلى ما شاء الله 1 على N
+
+57
+00:05:42,920 --> 00:05:49,100
+تربية زائد إلى ما شاء اللهطبعا يبقى بداني أشوف هل
+
+58
+00:05:49,100 --> 00:05:55,280
+ال sequence هذي convert ولا diver نشوف هل الشرقين
+
+59
+00:05:55,280 --> 00:05:59,720
+هذه المتحققات ولا لا؟ boundary يبقى بدني أشوف هل
+
+60
+00:05:59,720 --> 00:06:02,880
+boundary from above و boundary from below ولا لا؟
+
+61
+00:06:03,170 --> 00:06:10,230
+لكن الحد الأول واحد، وبعدها تبدأ تنزل أقل منه، أقل
+
+62
+00:06:10,230 --> 00:06:14,070
+منه، أقل منه، في الآخر ستصل إلى أين؟ إلى الـ Zero.
+
+63
+00:06:14,430 --> 00:06:19,090
+إذن هذه الـ Boundary from above by one و from
+
+64
+00:06:19,090 --> 00:06:23,350
+below by zero. يبقى اللي above كان في بداية ال
+
+65
+00:06:23,350 --> 00:06:27,130
+sequence و اللي below كان في نهاية ال sequence.
+
+66
+00:06:27,510 --> 00:06:33,710
+يبقى باجي بقوله thisسيق .. this sequence is
+
+67
+00:06:33,710 --> 00:06:52,610
+bounded from above by one and below and
+
+68
+00:06:52,610 --> 00:06:58,980
+below by zeroيبقى بناء عليه ال sequence هذه بتبقى
+
+69
+00:06:58,980 --> 00:07:07,140
+مالها؟ bounded يبقى so the sequence is bounded
+
+70
+00:07:07,140 --> 00:07:10,340
+يبقى
+
+71
+00:07:10,340 --> 00:07:14,200
+تحقق ال condition الأولاني أن ال sequence اللي
+
+72
+00:07:14,200 --> 00:07:20,980
+عندنا صارت bounded sequence طبعا؟ طيب يبقى نتحقق
+
+73
+00:07:20,980 --> 00:07:25,620
+الشرط الأول تبع من؟ تبع اللي هو النظرينيجي للشرط
+
+74
+00:07:25,620 --> 00:07:26,200
+التاني
+
+75
+00:07:29,350 --> 00:07:37,690
+الان الحد النوني هو واحد على ان تربية الحد النوني
+
+76
+00:07:37,690 --> 00:07:44,170
+الزائد واحد هو واحد على ان زائد واحد لكل تربية
+
+77
+00:07:46,730 --> 00:07:53,450
+الأول أكبر من الثاني إذا هذا صحيح لكل ال in من عند
+
+78
+00:07:53,450 --> 00:07:58,230
+الواحد واطلع يبقى هذا صحيح لكل ال in اللي greater
+
+79
+00:07:58,230 --> 00:08:03,690
+than or equal to one يبقى هذا شو معناه؟ معناه أن
+
+80
+00:08:03,690 --> 00:08:12,670
+ال sequence decreasing يبقى this means that the
+
+81
+00:08:12,670 --> 00:08:21,750
+sequence isdecreasing مادام decreasing هذا معناته
+
+82
+00:08:21,750 --> 00:08:32,230
+ان ال sequence is monotonic اذا انتحقق الشرطان
+
+83
+00:08:32,230 --> 00:08:39,650
+لاتنين تبعت النظرية بروح بقوله by the above
+
+84
+00:08:39,650 --> 00:08:43,550
+theorem the sequence
+
+85
+00:08:45,470 --> 00:08:52,790
+1 على انت ربيع convert وانتهينا من هذا ال section
+
+86
+00:08:52,790 --> 00:08:59,410
+وإليكم أرقام المسائل الخاصة بهذا ال section يبقى
+
+87
+00:08:59,410 --> 00:09:10,570
+exercises عشرة واحد المسائل من واحد لستة أو تسعين
+
+88
+00:09:10,570 --> 00:09:13,950
+لل multiple of
+
+89
+00:09:40,510 --> 00:09:43,370
+ننتقل الان الى section عشرة
+
+90
+00:09:46,660 --> 00:09:52,520
+اللي هو الـ M by 9 series
+
+91
+00:09:52,520 --> 00:09:56,040
+M
+
+92
+00:09:56,040 --> 00:10:03,480
+by 9 series يعني 8 سلسلات اللانهائية
+
+93
+00:10:08,530 --> 00:10:13,530
+يبقى كنا نتحدث سابقا عن ال infinite sequences في
+
+94
+00:10:13,530 --> 00:10:17,230
+ال section الأول لأن في ال section التاني نتكلم عن
+
+95
+00:10:17,230 --> 00:10:24,750
+ال infinite series يبقى المتسلسلات اللانهائية بدنا
+
+96
+00:10:24,750 --> 00:10:29,270
+نعطي تعريف وبعد التعريف نشوف كيف بدنا نحكم على ال
+
+97
+00:10:29,270 --> 00:10:34,510
+series هل هي converge او divergeلو راجعنا لتعريف
+
+98
+00:10:34,510 --> 00:10:37,650
+ال sequence بيجي نقول ال sequence على الشكل a1
+
+99
+00:10:37,650 --> 00:10:44,470
+فاصلة a2 فاصلة a3 فاصلة a4 لغاية فاصلة an ونبقى
+
+100
+00:10:44,470 --> 00:10:49,950
+الماشي ال infinite series هذه الحدود بنجمعها جامعة
+
+101
+00:10:49,950 --> 00:10:55,370
+بدل الفاصلة بنحط شعرات يبقى a1 plus a2 plus a3
+
+102
+00:10:55,370 --> 00:10:59,710
+plus plus إلى آخرىيبقى اللى بيطلع بيكون هو بنسميه
+
+103
+00:10:59,710 --> 00:11:04,770
+infinite series يبقى بدنا نكتب هذا ال definition و
+
+104
+00:11:04,770 --> 00:11:08,870
+بعد هك بدنا نشوف ال convergence اللى يبقى
+
+105
+00:11:08,870 --> 00:11:13,390
+definition an infinite series
+
+106
+00:11:20,230 --> 00:11:30,950
+متسلسل اللانهائية is the sum of an infinite
+
+107
+00:11:30,950 --> 00:11:36,090
+sequence
+
+108
+00:11:36,090 --> 00:11:43,070
+of numbers
+
+109
+00:11:48,710 --> 00:11:58,290
+of numbers that is الانفينيت
+
+110
+00:11:58,290 --> 00:12:04,470
+الانفينيت
+
+111
+00:12:04,470 --> 00:12:07,690
+series
+
+112
+00:12:07,690 --> 00:12:16,190
+is an expression in the form is an expression
+
+113
+00:12:22,630 --> 00:12:32,750
+الشكل التالي a1 plus a2 plus a3 plus an plus نقط
+
+114
+00:12:32,750 --> 00:12:33,830
+بالشكل اللي عندها
+
+115
+00:12:39,140 --> 00:12:41,980
+هذا بقدر اكتبه على الشكل التالي
+
+116
+00:12:52,180 --> 00:12:58,040
+يبقى هذا الشكل العام للسيريز أو هذا الشكل وبالتالي
+
+117
+00:12:58,040 --> 00:13:02,820
+اختلف شكله عن شكل ال man ال sequence طب الشكل لأن
+
+118
+00:13:02,820 --> 00:13:08,140
+هذا لو حطيت ان بواحد بحصل على مين على اي واحد
+
+119
+00:13:08,140 --> 00:13:12,580
+summation جاء من كلمة sum يبقى جامع يبقى plus
+
+120
+00:13:29,150 --> 00:13:38,570
+الشكل الطويل والكبير تبع من ال series الان نبحث
+
+121
+00:13:38,570 --> 00:13:40,550
+عن ال convergence
+
+122
+00:13:54,240 --> 00:14:01,360
+طيبأنا حتى الآن على ال series ماعنديش معلومات إلا
+
+123
+00:14:01,360 --> 00:14:05,720
+بس شكل الحد النوني في ال series، زي ذلك ماعنديش
+
+124
+00:14:05,720 --> 00:14:11,400
+معلومات، تمام؟ طب عايش الحل؟ آه، كويس، من ال
+
+125
+00:14:11,400 --> 00:14:17,790
+series اللي عندي، إذا جدرت أخلق sequenceوالـ
+
+126
+00:14:17,790 --> 00:14:21,970
+sequence هذه كانت convert، يبقى الـ series convert
+
+127
+00:14:21,970 --> 00:14:25,910
+وإذا الـ sequence ضيفر، يبقى الـ series هذه معلها
+
+128
+00:14:25,910 --> 00:14:30,630
+ضيفر السؤال كيف بدك تكوّن الـ sequence اللي عندك
+
+129
+00:14:30,630 --> 00:14:35,310
+هذا؟ بقولك بسيطة جدا، شوف يا سيدي، بدأتي للحد
+
+130
+00:14:35,310 --> 00:14:40,990
+الأول في الـ sequence، بدأسميه S1 مين هو الـ S1؟
+
+131
+00:14:40,990 --> 00:14:46,890
+بدأقول هو الحد الأول في الـ seriesالان بالداجل
+
+132
+00:14:46,890 --> 00:14:53,470
+الحد التاني في ال sequence S2 هو عبارة عن a1 plus
+
+133
+00:14:53,470 --> 00:15:01,470
+a2 مجموعة دين من حدود ال series بالداجل ال S3 هو
+
+134
+00:15:01,470 --> 00:15:09,440
+عبارة عن a1 زائد a2 زائد a3ونبقى مستمرين على
+
+135
+00:15:09,440 --> 00:15:15,840
+هالشغل هذه لغاية ما نوصل لمين لغاية ما نوصل ل S N
+
+136
+00:15:15,840 --> 00:15:24,640
+يبقى هذا ال S N مضاج يقول هنا ضالنا الزائد هذا ال
+
+137
+00:15:24,640 --> 00:15:29,960
+S تيدي لحد تلاتة فقط ما غير فاصلة نبقى ماشيين
+
+138
+00:15:29,960 --> 00:15:37,970
+لغاية ما نوصل ل S N S N هو عبارة عن A1 plus A2plus
+
+139
+00:15:37,970 --> 00:15:41,290
+a2 plus a3 plus a2 plus a2 plus a3 plus a2 plus a2
+
+140
+00:15:41,290 --> 00:15:43,770
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+141
+00:15:43,770 --> 00:15:45,190
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+142
+00:15:45,190 --> 00:15:45,930
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+143
+00:15:45,930 --> 00:15:46,070
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+144
+00:15:46,070 --> 00:15:52,070
+plus a2 plus aعندما تكون عندنا سيكوانس جديدة نكتب
+
+145
+00:15:52,070 --> 00:15:58,030
+هذه السيكوانس و نعرف اسم هذه السيكوانس طلعني لحدود
+
+146
+00:15:58,030 --> 00:16:05,930
+السيكوانس S1 و S2 و S3 كونهم عن طريق جامعة جزء E
+
+147
+00:16:05,930 --> 00:16:13,280
+لحدود السيريزأذا بدّي أروح أسميها متتابعة المجاميع
+
+148
+00:16:13,280 --> 00:16:19,400
+الجزئية The sequence of partial sums يبقى باجي
+
+149
+00:16:19,400 --> 00:16:29,900
+بقوله هنا The sequence of partial sums الجمع
+
+150
+00:16:29,900 --> 00:16:35,220
+الجزي، المجاميع الجزئية The sequence of partial
+
+151
+00:16:35,220 --> 00:16:43,440
+sums isبدي أسميها الـ Sn بدلالة الحد النوني فيها
+
+152
+00:16:43,440 --> 00:16:49,220
+بالشكل هذا لو بدي أكتبها بالشكل المطول يبقى S1
+
+153
+00:16:49,220 --> 00:16:57,520
+فاصلة S2 فاصلة S3 فاصلة Sn فاصلة إلى ما شاء الله
+
+154
+00:17:00,090 --> 00:17:06,030
+يبقى هذا صار شكل ال sequence الجديدة نقول اه إذا
+
+155
+00:17:06,030 --> 00:17:10,290
+والله ال sequence هذه convert يبقى ال series
+
+156
+00:17:10,290 --> 00:17:14,990
+convert وإذا ال sequence هذه diverge إذا ال series
+
+157
+00:17:14,990 --> 00:17:20,050
+هذه مالها diverge ونعرف نحكم على ال sequence اللي
+
+158
+00:17:20,050 --> 00:17:23,430
+هي converge أو diverge من خلال ال section الماضي
+
+159
+00:17:23,430 --> 00:17:28,070
+اللي هو section عشرة واحد فبعدين بحقق القاعدة عندي
+
+160
+00:17:28,070 --> 00:17:40,120
+كالتالي ifthe sequence of partial sums اللي mean
+
+161
+00:17:40,120 --> 00:17:50,280
+is in converge or diverge هدى او هدى then the
+
+162
+00:17:50,280 --> 00:17:58,440
+seriesالإيمان summation من n equal one to infinity
+
+163
+00:17:58,440 --> 00:18:08,360
+لل a and converge or divergeيعني ايه؟ يعني إذا ال
+
+164
+00:18:08,360 --> 00:18:11,780
+sequence of partial sums convert، يبقى ال series
+
+165
+00:18:11,780 --> 00:18:17,260
+convert إذا ال sequence of partial sums diverge،
+
+166
+00:18:17,260 --> 00:18:22,800
+إذا ال series لأنها دي ما لها، diverge فبفترض إن
+
+167
+00:18:22,800 --> 00:18:27,880
+ال sequence of partial sums convert يعني معناته
+
+168
+00:18:27,880 --> 00:18:33,020
+فيها، إنها limit يبقى ماجي بقوله هنا F
+
+169
+00:18:36,940 --> 00:18:47,720
+سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا
+
+170
+00:18:47,720 --> 00:18:51,560
+سيكوينس
+
+171
+00:18:51,560 --> 00:18:52,220
+اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس
+
+172
+00:18:52,220 --> 00:18:52,240
+اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس
+
+173
+00:18:52,240 --> 00:18:52,380
+اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس
+
+174
+00:18:52,380 --> 00:19:02,380
+اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا
+
+175
+00:19:04,730 --> 00:19:14,830
+بدي ساوي L كويس وال L هذه معناها أقل من infinity
+
+176
+00:19:14,830 --> 00:19:19,110
+طبعا؟
+
+177
+00:19:19,110 --> 00:19:25,750
+طيب يبقى لها limit وال limit هذه تساوي مين؟ ال L
+
+178
+00:19:25,750 --> 00:19:36,800
+في هذه الحالة بروح بقول له the sumof the series S
+
+179
+00:19:36,800 --> 00:19:43,700
+بديله capital S وبقول هو عبارة عن مين؟ عن ال L أو
+
+180
+00:19:43,700 --> 00:19:49,860
+بقول S summation من N equal one to infinity لل A N
+
+181
+00:19:49,860 --> 00:19:54,620
+هذا المجموع كله بدي سوى مين؟ اللي هو مقدار ال
+
+182
+00:19:54,620 --> 00:19:55,220
+limit
+
+183
+00:20:01,460 --> 00:20:07,680
+نعطي مثال فوضيحي على الكلام اللي بنقوله هذا
+
+184
+00:20:07,680 --> 00:20:20,000
+example discuss
+
+185
+00:20:20,000 --> 00:20:24,300
+the convergence نقش
+
+186
+00:20:24,300 --> 00:20:28,060
+لتقارب the convergence
+
+187
+00:20:37,560 --> 00:20:46,540
+من N إيقال 1 لإنفينيتي لناقص واحد to the power N
+
+188
+00:20:46,540 --> 00:20:54,480
+minus الواحد solution
+
+189
+00:20:54,480 --> 00:20:59,840
+شوفوا
+
+190
+00:20:59,840 --> 00:21:05,730
+يا شباببقول يناقش لي تقارب أو تباعد ال series اللي
+
+191
+00:21:05,730 --> 00:21:10,170
+عنها بقول ياريخ نتعرف على شكلها في الأول و بعدين
+
+192
+00:21:10,170 --> 00:21:15,390
+بنقدر نحكم هل هي convert او buy that فبجي بقوله
+
+193
+00:21:15,390 --> 00:21:20,170
+summation من n equal one to infinity the minus
+
+194
+00:21:20,170 --> 00:21:25,530
+واحد to the power n minus ال one يساوي بدي أبدأ
+
+195
+00:21:25,530 --> 00:21:31,230
+بالواحد يبقى الحد الأول واحدحُط ان بإتنين بصير
+
+196
+00:21:31,230 --> 00:21:37,770
+سالب واحد اقص واحد اللي هو كم سالب واحد حُط ان
+
+197
+00:21:37,770 --> 00:21:44,170
+بثلاثة بصير ناقص واحد تربيه اللي هو كم واحد حُط ان
+
+198
+00:21:44,170 --> 00:21:50,670
+باربعة بصير سالب واحد زائد وعلى الشكلة لغاية ما
+
+199
+00:21:50,670 --> 00:21:56,470
+نصل إلى ناقص واحد to the power ان plus one زائد
+
+200
+00:21:56,470 --> 00:22:03,870
+لانرف الله الأرض ومن عليهاتمام؟ طيب هذه مين؟ هذه
+
+201
+00:22:03,870 --> 00:22:08,730
+ال infinite series بدي أعرف هل هي converge و لا
+
+202
+00:22:08,730 --> 00:22:13,690
+diverse بقول الله أعلم لكن في الجزء النظر البسيط
+
+203
+00:22:13,690 --> 00:22:18,750
+هذا ممكن أكوّن ال sequence of partial sums لهذه ال
+
+204
+00:22:18,750 --> 00:22:23,470
+series و من ثم أحكم من خلال النتيجة اللي عندي إذا
+
+205
+00:22:23,470 --> 00:22:30,870
+لو جاتي قلت بدي أجي لل S1 يسوى قد واحدالـ S2 سيكون
+
+206
+00:22:30,870 --> 00:22:36,690
+واحد ناقص واحد سيكون واحد
+
+207
+00:22:36,690 --> 00:22:58,590
+ناقص
+
+208
+00:23:05,290 --> 00:23:12,370
+والتالت واحد والرابع مجرد وهلوم فما هي رأيك في
+
+209
+00:23:12,370 --> 00:23:16,190
+الـsequence هذي الـconverge و لا الـdiverge؟ يبقى
+
+210
+00:23:16,190 --> 00:23:25,390
+باجي بقول له هذه الـsequence مختلفة لأنها
+
+211
+00:23:25,390 --> 00:23:27,110
+تتحرك
+
+212
+00:23:31,820 --> 00:23:40,700
+between two different limits
+
+213
+00:23:42,270 --> 00:23:48,410
+مين ال two different limits اللي هو واحد and زيرو
+
+214
+00:23:48,410 --> 00:23:53,310
+لذلك ال sequence of partial sums مالها divaried
+
+215
+00:23:53,310 --> 00:23:55,850
+مدام ال sequence هي divaried يبقى ال series
+
+216
+00:23:55,850 --> 00:24:04,850
+الأصلية divaried يبقى ال series summationمن n
+
+217
+00:24:04,850 --> 00:24:09,850
+equal one to infinity لنقص واحد to the power n
+
+218
+00:24:09,850 --> 00:24:13,570
+minus one مالها by virtue
+
+219
+00:24:30,780 --> 00:24:36,240
+طيب السؤال اللى قال ممكن يدور فى دماغ البعض منكوا
+
+220
+00:24:36,240 --> 00:24:40,500
+انتوا جاعدين إيه لم يكن فى دماغ الكل؟ إذا كان كل
+
+221
+00:24:40,500 --> 00:24:43,660
+سؤال بدنا نقعد نسويله و هيك ده دي قصتنا حزينة و
+
+222
+00:24:43,660 --> 00:24:48,350
+بتطوريعني كل series لسه بدى احويلها لل sequence
+
+223
+00:24:48,350 --> 00:24:51,650
+واروح ادور على ال sequence by vary و لا by convert
+
+224
+00:24:51,650 --> 00:24:57,130
+و هدى اسقط هدى على ال series هدى قصة طويلة تمام؟
+
+225
+00:24:57,130 --> 00:25:03,070
+لذلك احنا يعني عند الضرورة بدنا نرجع للمثل اللي زي
+
+226
+00:25:03,070 --> 00:25:09,590
+هيك غير الضرورة في عندنا تلاتة series مشهورةوستة
+
+227
+00:25:09,590 --> 00:25:13,830
+اختبارات من خلالها نقدر نحكم على ال series هل هي
+
+228
+00:25:13,830 --> 00:25:17,550
+convert او buy and sell في ال section اللي بين
+
+229
+00:25:17,550 --> 00:25:22,610
+ادينا بدنا ناخد اختبار واحد ومتسلسلة واحدة ال
+
+230
+00:25:22,610 --> 00:25:28,870
+series واحدة والباقية ال sections القادمة تمام؟
+
+231
+00:25:28,870 --> 00:25:32,590
+فالمهم اول series من ال series التلاتة اللي بدنا
+
+232
+00:25:32,590 --> 00:25:36,220
+ناخدها في هذا ال sectionوحدة أخدتها في تانية
+
+233
+00:25:36,220 --> 00:25:40,700
+ثانوية أو في الصف الحادى عشر اللي هو المتسلسل
+
+234
+00:25:40,700 --> 00:25:45,900
+الهندسية مش خدته متوالية هندسية ومتوالية عددية
+
+235
+00:25:45,900 --> 00:25:50,140
+تانية ثانوية، مظبوط؟ سيبنا من العددية، خلينا مع
+
+236
+00:25:50,140 --> 00:25:56,190
+الهندسيةيبقى مع المتوالي الهندسي هادي من خلالها
+
+237
+00:25:56,190 --> 00:26:00,410
+اتحكم على بعض ال series هل هي conveyed او divided
+
+238
+00:26:00,410 --> 00:26:06,810
+كيف كتارى يبقى بدنا نيجي نذكر بمين هي ال geometric
+
+239
+00:26:06,810 --> 00:26:12,790
+series للمتسلسلة الهندسية يبقى بدنا نيجي لل
+
+240
+00:26:12,790 --> 00:26:14,550
+geometric series
+
+241
+00:26:30,320 --> 00:26:40,440
+it is a series in the form بالمناسبة
+
+242
+00:26:40,440 --> 00:26:46,240
+كلمة series هذه جامعة ومفردجمع زي المفرد نفس
+
+243
+00:26:46,240 --> 00:26:51,040
+الكتابة يبقى نقصدها المفرد أو الجمع يبقى it is a
+
+244
+00:26:51,040 --> 00:27:00,760
+series in the form ال A زائد AR زائد AR تربيع زائد
+
+245
+00:27:00,760 --> 00:27:10,300
+AR تكيب زائد AR plus N ناقص واحد زائد إلى آخرينهذه
+
+246
+00:27:10,300 --> 00:27:18,640
+ممكن اكتبها على الشكل المختصر ال A R أس N ناقص
+
+247
+00:27:18,640 --> 00:27:26,800
+واحد من عند ال N بدها تساوي واحد إلى انفلت طيب ايش
+
+248
+00:27:26,800 --> 00:27:34,160
+ال A و ايش ال R وما إلى ذلك خلّي بالك انا بقول N
+
+249
+00:27:34,160 --> 00:27:39,730
+ناقص واحد وليس زائد واحد الآن بوريك ليشالحد الأول
+
+250
+00:27:39,730 --> 00:27:47,230
+فيه R، الحد التاني الـR أس واحد، الحد التاني R
+
+251
+00:27:47,230 --> 00:27:53,310
+تربيع أقل منه بواحد، الحد الرابع A R تكييب، يعني
+
+252
+00:27:53,310 --> 00:27:58,450
+أقل من الأربع من أقل واحد، إذا الحد النوني الـR
+
+253
+00:27:58,450 --> 00:28:03,670
+بدأ يكون أس إناقص الواحد، تمام؟ كويس، يبقى هذا
+
+254
+00:28:03,670 --> 00:28:08,840
+شكلها بالشكل اللي عندنا هذاطبعا ال index اللى تحت
+
+255
+00:28:08,840 --> 00:28:12,840
+الصماش ان عند N يساوي 1 ممكن اخلهم ان عند N يساوي
+
+256
+00:28:12,840 --> 00:28:19,120
+0 كيف تخليهم عند N يساوي 0؟ يعني هذا مش الشكل هذا
+
+257
+00:28:19,120 --> 00:28:23,750
+القرآن نزل من السماء مافيش غيرهلأ لأ بقدر اقف على
+
+258
+00:28:23,750 --> 00:28:29,490
+الشكل التالي ال summation شو رايك لو شيلت كل انه
+
+259
+00:28:29,490 --> 00:28:35,210
+حطيت مكانها n زائد واحد بس يده عند يمين n زائد
+
+260
+00:28:35,210 --> 00:28:41,970
+واحد بدها تساوي واحد لمين؟ لل infinity ل A R قس N
+
+261
+00:28:41,970 --> 00:28:49,320
+زائد واحدن زائد واحد وهي الناقص واحد يعني هذه
+
+262
+00:28:49,320 --> 00:28:54,180
+الاشي بتعطينا summation من n تساوي هات للواحد على
+
+263
+00:28:54,180 --> 00:29:01,360
+الشجرة التانية بصير zero إلى infinity لل ar أس n
+
+264
+00:29:01,360 --> 00:29:07,480
+فقط لا غير طب اطلعلي في الشكل اللي عندنا هذا
+
+265
+00:29:07,480 --> 00:29:14,040
+واطلعلي في الشكل اللي عندنا هذاشكلهم مختلفين عن
+
+266
+00:29:14,040 --> 00:29:20,760
+بعض، شكلا، مظبوط، لكن في الحقيقة هذه الصيغة هي هذه
+
+267
+00:29:20,760 --> 00:29:25,260
+الصيغة بالضبط تماما، عظم الصيغة الأولى مأمنين أنها
+
+268
+00:29:25,260 --> 00:29:30,920
+هذه طب بدأ أشوف هذه، تبدأ بال M تساوي Zero، اقرأ
+
+269
+00:29:30,920 --> 00:29:36,340
+ال Zero بواحد، في أيه؟ هيه، بعد ال Zero مين
+
+270
+00:29:36,340 --> 00:29:36,980
+بيجيني؟
+
+271
+00:29:57,790 --> 00:30:03,030
+عادة تغيير الدليل لتحت الـ summation ونجيب لك بطل
+
+272
+00:30:03,030 --> 00:30:07,560
+ال summation جد ما بدك و كلهم R equivalentبتكون هم
+
+273
+00:30:07,560 --> 00:30:11,920
+بطابقوا بعض ما علينا مش هذه مشكلة الحين انا مشكلتي
+
+274
+00:30:11,920 --> 00:30:17,000
+مع ال geometric series طيب ال geometric series هذا
+
+275
+00:30:17,000 --> 00:30:22,780
+هه يا شباب له ايه بسميه ال first term ايش يعني
+
+276
+00:30:22,780 --> 00:30:27,680
+first term يعني الحد الأول في ال sequence زي ما
+
+277
+00:30:27,680 --> 00:30:32,700
+هذا بسميه الحد النوني ال nth term في ال series
+
+278
+00:30:32,700 --> 00:30:35,880
+اللي عندنا طيب و ال R؟
+
+279
+00:30:38,210 --> 00:30:42,930
+أقولكوا تستأنى شوية اقسم الحد التانى على الحد
+
+280
+00:30:42,930 --> 00:30:49,110
+الاول كدهش بطلع اقسم الحد التالت على التالت R اقسم
+
+281
+00:30:49,110 --> 00:30:53,290
+الحد الرابع على التالت R يعني في الـ Geometric
+
+282
+00:30:53,290 --> 00:30:58,850
+Series اقسم اي حد على الحد السابق له مباشرة بطلع
+
+283
+00:30:58,850 --> 00:31:03,770
+عندنا لومين R مين هي ال R بجاند نسميها في التنوية
+
+284
+00:31:03,770 --> 00:31:11,400
+أساس المتوالية مظلومهنا كمان هقول ان سميها النسبة
+
+285
+00:31:11,400 --> 00:31:16,300
+ال ratio ناشر ratio لان بنجسم كل حد على الحد اللي
+
+286
+00:31:16,300 --> 00:31:19,880
+جابله و بطلع عليها هذا الرقم يبقى كان هذه نسبة بين
+
+287
+00:31:19,880 --> 00:31:28,930
+رقمين يبقى وال R is the ratioيبقى هي النسبة أوي
+
+288
+00:31:28,930 --> 00:31:34,170
+للأساس كنا في الثانوية بنسميها الأساس طيب ال
+
+289
+00:31:34,170 --> 00:31:39,470
+geometric هذه ال series converge ولا diverge يبقى
+
+290
+00:31:39,470 --> 00:31:43,910
+باجي بقوله بدي أحط القاعدة اللي عندنا the
+
+291
+00:31:43,910 --> 00:31:51,380
+geometric series اللي هي ال summationمن n equal
+
+292
+00:31:51,380 --> 00:31:59,180
+one to infinity لل a أرقص n ناقص واحد converge if
+
+293
+00:31:59,180 --> 00:32:05,040
+ال absolute value للr أقل من الواحد الصحيح and
+
+294
+00:32:05,040 --> 00:32:11,020
+diverge if ال absolute value للr greater than or
+
+295
+00:32:11,020 --> 00:32:19,200
+equal to one كويس
+
+296
+00:32:21,260 --> 00:32:28,100
+هذا يا شباب أخدته في الثانوية والكتاب رايح مثبته
+
+297
+00:32:28,100 --> 00:32:32,620
+كمان مرة، نفس الإثبات اللي في الكتاب الثانوي،
+
+298
+00:32:32,620 --> 00:32:40,050
+ماتغيرش، ولذلك مش هروح اتبتلجبدأت تحطها في دماغها
+
+299
+00:32:40,050 --> 00:32:44,350
+القاعدة لإنه بدنا نبدأ نشتغل بها إن الـ Geometric
+
+300
+00:32:44,350 --> 00:32:49,190
+Caddy Series Converged إذا الأساس تبعها أقل من
+
+301
+00:32:49,190 --> 00:32:53,850
+واحد صحيح يعني محصور بين مين ومين، بين واحد وسالب
+
+302
+00:32:53,850 --> 00:32:59,500
+واحد وDiverged إذا كان الارتو ساوي واحد أوأكبر من
+
+303
+00:32:59,500 --> 00:33:05,860
+الواحد الصحيح أو أصغر من سالب واحد صحيح تمام؟ يبقى
+
+304
+00:33:05,860 --> 00:33:10,280
+بواسطته بنقدر نحكم على series، converts أو بذر طب
+
+305
+00:33:10,280 --> 00:33:14,380
+لو افترض ما انها convert مش اللي هى مجموعة بده
+
+306
+00:33:14,380 --> 00:33:20,840
+يكون حد مش ذاكر مثلوية كده مجموعة متسلسلة أندفية
+
+307
+00:33:20,840 --> 00:33:25,840
+لانهائية التنازلية
+
+308
+00:33:25,840 --> 00:33:35,280
+يلا بالمرة كمان كدهشواحد طب انا بقول اثنين كيف؟
+
+309
+00:33:38,280 --> 00:33:43,300
+لأ، شوف اتكلمش عن المتسلسلة العادية، انا اتكلم عن
+
+310
+00:33:43,300 --> 00:33:48,600
+المتسلسلة اللانهائية، هذه كلمة ذاكرة فيها كان دي
+
+311
+00:33:48,600 --> 00:33:51,760
+ميساوي ألف ريح و أسنون ناقص واحد على ريح ناقص واحد
+
+312
+00:33:51,760 --> 00:33:56,620
+أو ألف واحد ناقص ريح و أسنون على واحد ناقص ريح،
+
+313
+00:33:56,620 --> 00:34:01,180
+حسب ريح أكبر واحد صحيح ولا أصلا، احنا بنتكلم الآن
+
+314
+00:34:01,180 --> 00:34:07,620
+على اللانهائية، حد ميزكر؟بالمرة ولا واحد؟ يبقى ..
+
+315
+00:34:07,620 --> 00:34:12,980
+بنقول المجموع يساوي الحد الأول على واحد ما قص
+
+316
+00:34:12,980 --> 00:34:23,880
+الأساس باشي؟ يبقى F ده Geometric والله خدتوه حليته
+
+317
+00:34:23,880 --> 00:34:28,280
+مسائل كتير إذا نزلها F ده Geometric Series
+
+318
+00:34:43,100 --> 00:34:49,680
+المجموعة تبعها هديله الرمز is يساوي الحد الأول على
+
+319
+00:34:49,680 --> 00:34:56,700
+راحة ناقص الأساسبجيت و اذاكرك جيم نون يسوى ألف على
+
+320
+00:34:56,700 --> 00:35:02,000
+واحد ناقص رهب وهنا نفس الجثة S يسوى الحد الأول
+
+321
+00:35:02,000 --> 00:35:08,400
+اللي هو A على واحد ناقص الأساس طيب نعطيك بعض
+
+322
+00:35:08,400 --> 00:35:14,320
+الأمثلة على ذلك و نشوف كيف بنحل هذه الأمثلة يبقى
+
+323
+00:35:14,320 --> 00:35:14,940
+examples
+
+324
+00:35:20,710 --> 00:35:26,890
+بقول which of the following series which of the
+
+325
+00:35:26,890 --> 00:35:31,030
+following series
+
+326
+00:35:31,030 --> 00:35:34,050
+converge
+
+327
+00:35:34,050 --> 00:35:48,210
+and which by that if the series converge fine
+
+328
+00:35:49,760 --> 00:35:55,840
+its sum يبقى إذا كانت convert بدنا المجموع تبعها
+
+329
+00:35:55,840 --> 00:36:03,280
+نبره واحد summation من n equal zero to infinity ل
+
+330
+00:36:03,280 --> 00:36:10,980
+-1 to the power n خمسة على أربعة to the power n
+
+331
+00:36:10,980 --> 00:36:16,290
+بقولوا شيف ليها ال series هذي convertوالله ضايفينه
+
+332
+00:36:16,290 --> 00:36:20,650
+وإذا كانت conveyor بدي المجموع أول شغلة بدي أفحص
+
+333
+00:36:20,650 --> 00:36:25,330
+هل هي geometric و الله ماهياش geometric إذا بدي
+
+334
+00:36:25,330 --> 00:36:30,870
+أعيد صياغة هذه ال series على الشكل التالي N equal
+
+335
+00:36:30,870 --> 00:36:36,420
+zero to infinity الخمسة مقدار ثابتهذا سالب واحد أس
+
+336
+00:36:36,420 --> 00:36:42,500
+إنه وهذه أربعة أس إنه يبقى كأنه سالب واحد على
+
+337
+00:36:42,500 --> 00:36:49,400
+أربعة كله to the power n طب السؤال هو صار شكلها
+
+338
+00:36:49,400 --> 00:36:56,740
+Geometric ولا لا؟زي الشكل هذا او لا؟ اه حط النبوحة
+
+339
+00:36:56,740 --> 00:37:01,440
+ب zero واحد اتنين ثلاثة تصير خمسة خمسة فترات ربع
+
+340
+00:37:01,440 --> 00:37:05,620
+خمسة فترات ربع تقريب خمسة فترات ربع تقريب إلى ما
+
+341
+00:37:05,620 --> 00:37:08,960
+شاء الله طب هل هي ال conversion ولا ال divergence؟
+
+342
+00:37:08,960 --> 00:37:14,660
+هذا شفوي بمجرد النظر conversion ولا divergence؟
+
+343
+00:37:14,660 --> 00:37:18,160
+قداشي ratio؟ خمسة
+
+344
+00:37:20,980 --> 00:37:26,940
+خمسة إيها مثابت فيهم كلهم، يبقى ال ratio هي R،
+
+345
+00:37:26,940 --> 00:37:32,260
+مظبوط؟ R قبل داسم، ثالث وربع، absolute value لها،
+
+346
+00:37:32,260 --> 00:37:35,580
+الرابع هو الرابع أقل، يبقى convergent ولا
+
+347
+00:37:35,580 --> 00:37:42,810
+divergent، يبقى W automatic، convergentجيومتريك
+
+348
+00:37:42,810 --> 00:37:51,650
+سيريز والسبب because absolute value لل R يسوي
+
+349
+00:37:51,650 --> 00:37:57,570
+absolute value للثالث بربع يسوي ربع أقل من الواحد
+
+350
+00:37:57,570 --> 00:38:03,660
+الصحيةقال يا صاحبي ده المثل كله بدك تجيبليه
+
+351
+00:38:03,660 --> 00:38:12,480
+المجموع بقوله بسيطة يبقى باجي بقوله هنا it's some
+
+352
+00:38:12,480 --> 00:38:19,020
+asهذا ال S يساوي يبدأ يقول الحد الأول جدّيش الحد
+
+353
+00:38:19,020 --> 00:38:25,280
+الأول حط NF0 بتحصل لحد الأول بصير هذا واحد في خمسة
+
+354
+00:38:25,280 --> 00:38:31,840
+يبقى خمسة على واحد ناقص الأساس بتحط ال S الأساس
+
+355
+00:38:31,840 --> 00:38:40,390
+بإشارته يبقى هذا الكلام بده يساوي خمسة علىواحد
+
+356
+00:38:40,390 --> 00:38:47,710
+زائد ربع، واحد وربع يعني خمس أربع يبقى خمسة على
+
+357
+00:38:47,710 --> 00:38:55,470
+أربع يبقى النتج بيعطيك أربع مجموع ال series سؤال
+
+358
+00:38:55,470 --> 00:38:56,230
+الثاني
+
+359
+00:39:12,840 --> 00:39:18,840
+بقل شوف ليها ال series هذي convert والله ضيفاش
+
+360
+00:39:18,840 --> 00:39:23,220
+بقول بسيطة احنا موضوعنا موضوع ال geometric series
+
+361
+00:39:23,560 --> 00:39:29,740
+هل هذه Geometric ولا ماهياش Geometric إذا بقدر
+
+362
+00:39:29,740 --> 00:39:34,580
+أقوله summation من n equal zero to infinity هذي
+
+363
+00:39:34,580 --> 00:39:41,100
+اتنين أس ان زائد تلاتة يعني معناته اتنين تكييب في
+
+364
+00:39:41,100 --> 00:39:49,160
+الاتنين أس ان على تلاتة أس انأو ان شئتم فقولوا
+
+365
+00:39:49,160 --> 00:39:54,280
+summation من n equal zero to infinity اتنين تكعيبة
+
+366
+00:39:54,280 --> 00:40:00,920
+بقداش تمانية هذه اتنين أس ان ع تلاتة أس ان يعني
+
+367
+00:40:00,920 --> 00:40:07,480
+اتنين ع تلاتة كله to the power n صارت geometric و
+
+368
+00:40:07,480 --> 00:40:14,440
+converge كمان يبقى هذه بقول عنها convergeجيومتريك
+
+369
+00:40:14,440 --> 00:40:22,520
+سيريز السبب because ال absolute value لل R بده
+
+370
+00:40:22,520 --> 00:40:27,920
+يساوي تلتين والتلتين أقل من الواحد الصحية بدنا
+
+371
+00:40:27,920 --> 00:40:36,560
+المجموعة تبعها يبقى باجي بقوله it's some S ال S
+
+372
+00:40:36,560 --> 00:40:43,210
+يساوي الحد الأول كده الحد الأول اللي عندناتمانية
+
+373
+00:40:43,210 --> 00:40:51,090
+على مين؟ على واحد ناقص تلتين يبقى هذا الكلام بده
+
+374
+00:40:51,090 --> 00:40:56,330
+يعطينا تمانية على تلت اللي هو بقى تداشر باربع
+
+375
+00:40:56,330 --> 00:41:00,570
+وعشرين مجموع هذه ال series
+
+376
+00:41:12,070 --> 00:41:22,890
+طيب نعطي كمان مثال مثال تلاتة مثال
+
+377
+00:41:22,890 --> 00:41:28,210
+تلاتة نقول ال summation من n equal zero to
+
+378
+00:41:28,210 --> 00:41:35,770
+infinity ل cosine n pi على خمسة to the power n
+
+379
+00:41:41,260 --> 00:41:46,220
+اللي بنظر لهذا السؤال لأول وهلة بقول هذا وش جابله
+
+380
+00:41:46,220 --> 00:41:48,660
+و لا ال geometric شوفوا علاقة في ال geometric
+
+381
+00:41:48,660 --> 00:41:52,900
+بقولك تعالى نشوف هل هي geometric ولا ماهياش
+
+382
+00:41:52,900 --> 00:41:58,120
+geometric فبعدين بقوله خلينا نتعرف على الشكلة
+
+383
+00:41:58,120 --> 00:42:01,720
+وبعدين بنحكم هل هي geometric ولا غير geometric
+
+384
+00:42:01,720 --> 00:42:07,910
+فبعدين بقول لو كانت n تساوزي ل cosine سكربواحد
+
+385
+00:42:07,910 --> 00:42:14,110
+خمسة والصفر يبقى ال term الأول بواحد زائد بعد zero
+
+386
+00:42:14,110 --> 00:42:19,090
+بيجيني واحد بيصير ال cosine مية و تمانين سالب واحد
+
+387
+00:42:19,090 --> 00:42:26,970
+يبقى هاي سالب واحد على خمسة حط لي N باتنينبصير cos
+
+388
+00:42:26,970 --> 00:42:35,690
+2pi هو cos الصفر يعني مقدش بواحد على خمسة أس اتنين
+
+389
+00:42:35,690 --> 00:42:43,050
+اللي بعده بحط تلاتة بصير cos تلاتة pi هو ال period
+
+390
+00:42:43,050 --> 00:42:45,090
+لكتلة ال cosine مقدش
+
+391
+00:42:53,270 --> 00:43:00,870
+سالف واحد على خمسة كيلوزائد وضلك ماشي على هالشكل
+
+392
+00:43:00,870 --> 00:43:08,590
+هذه هتوصل لواحد على خمسة أس in زائد الله أعلم بس
+
+393
+00:43:08,590 --> 00:43:14,730
+الإشارة بقول سالب واحد أس in و بدي أتأكد هل
+
+394
+00:43:14,730 --> 00:43:19,370
+الإشارة اللي أنا كاتبها هذه صح ولا غلط فباجي بقول
+
+395
+00:43:19,370 --> 00:43:24,010
+احنا بدين من وين من عند ال zero يبقى zero zero
+
+396
+00:43:24,010 --> 00:43:30,260
+بيكون يبقى داشر واحد term الأول مظبوطحط واحد بصير
+
+397
+00:43:30,260 --> 00:43:37,560
+سالب خمس مظبوط حط n باثنين بصير واحد على خمسة
+
+398
+00:43:37,560 --> 00:43:42,940
+تربيع مظبوط وهكذا يبقى كله سليم مائة بالمائة يبقى
+
+399
+00:43:42,940 --> 00:43:48,520
+مسألة أصبحت على الشكل التالي summation من n equal
+
+400
+00:43:48,520 --> 00:43:54,460
+zero to infinity لناقص واحد على خمسة كله to the
+
+401
+00:43:54,460 --> 00:44:02,570
+power nايه اش رايك هذه؟ Geometric؟ طب حد بقدر يقول
+
+402
+00:44:02,570 --> 00:44:10,270
+يقدش الحد الاول فيها وعصا يقدش الاساس يبقى convert
+
+403
+00:44:10,270 --> 00:44:18,260
+ولا divert؟يبقى هذه converge geometric series
+
+404
+00:44:18,260 --> 00:44:26,400
+السبب because absolute value لل R يسوي absolute
+
+405
+00:44:26,400 --> 00:44:33,220
+value لسالب خمس يسوي خمس أقل من الواحدة الصحيةما
+
+406
+00:44:33,220 --> 00:44:38,220
+دام Conversion يبقى إليها مجموع يبقى باجي بقوله S
+
+407
+00:44:38,220 --> 00:44:45,220
+sum المجموع تبعها اللي هو S يسوى الحد الأول سألكوا
+
+408
+00:44:45,220 --> 00:44:52,540
+قداش قبل قليل قولتولي واحد على واحد ناقص ناقص خمس
+
+409
+00:44:52,540 --> 00:44:59,390
+يعني واحد على واحد وخمس واحد وخمس اللي هو قداش6
+
+410
+00:44:59,390 --> 00:45:05,970
+أخمس يساوي خمس أسداث هذا المجموع تبع من؟ تبع ال
+
+411
+00:45:05,970 --> 00:45:12,870
+series يعني جدرت أعرف ما هو شكل ال series و عقمت
+
+412
+00:45:12,870 --> 00:45:18,770
+عليها هل هي converge او diver النقطة الرابعة اللي
+
+413
+00:45:18,770 --> 00:45:28,730
+هي من؟ سالب تلتين تربية سالب تلتين تربية زائدسالب
+
+414
+00:45:28,730 --> 00:45:40,210
+تلتين تكيب، سالب تلتين تكيب، سالب تلتين تكيب، سالب
+
+415
+00:45:40,210 --> 00:45:46,050
+تلتين تكيب، سالب تلتين تكيب، سالب تلتين تكيب، سالب
+
+416
+00:45:46,050 --> 00:45:48,410
+تلتين تكيب، سالب تلتين تكيب،
+
+417
+00:45:58,710 --> 00:46:04,210
+خلّيني أبقى بالكم معانا حد بيقدر يجيب لجدّاه شكل
+
+418
+00:46:04,210 --> 00:46:14,190
+الحد النوني لهذه السيرة؟ ايه يقول؟ يعني
+
+419
+00:46:14,190 --> 00:46:25,340
+شكل الحد النوني هو سالب تلتين قصر تعالي شوفهنا لما
+
+420
+00:46:25,340 --> 00:46:30,180
+كانت N بواحد كانت تربية لما N باتنين صارت تكيب إلى
+
+421
+00:46:30,180 --> 00:46:38,060
+آخرها يبقى كداش N زائد واحد كده
+
+422
+00:46:41,670 --> 00:46:46,270
+ممتاز جدا يبجى لو كتبت بهذا الشكل معناته ال N
+
+423
+00:46:46,270 --> 00:46:52,370
+بيبدأ من وين؟ ممتاز جدا يبجى زائد إلى احد يعني ال
+
+424
+00:46:52,370 --> 00:46:59,490
+summation لسلب تلتين أس N زائد واحد من عند N تسوى
+
+425
+00:46:59,490 --> 00:47:05,730
+واحد إلى انفينيته ماشي الحل بدي أبدأ من عند ال
+
+426
+00:47:05,730 --> 00:47:12,210
+zero كويس يبجى بدي أشيل كل N و أحط مكانهان زائد
+
+427
+00:47:12,210 --> 00:47:19,290
+اتنين او اتن زائد واحد ان زائد واحد بيصير ن زائد
+
+428
+00:47:19,290 --> 00:47:25,270
+واحد زائد واحد بيصير ن زائد اتنين يعني هذا اذا بدك
+
+429
+00:47:25,270 --> 00:47:29,710
+شياها بالشكل هذا بقوله summation من عند n equal
+
+430
+00:47:29,710 --> 00:47:34,590
+zero to infinity لنقص اتنين على تلاتة واس ان زائد
+
+431
+00:47:34,590 --> 00:47:41,680
+اتنين بهذا الشكل طيب امتازكداش الحد الأول في هذه
+
+432
+00:47:41,680 --> 00:47:42,900
+السنة؟ واحد
+
+433
+00:47:47,180 --> 00:47:53,580
+تمام او كما قال سالب اتنين ع تلاتة لكل تربية حط ن
+
+434
+00:47:53,580 --> 00:47:58,440
+ب zero بظل سالب اتنين ع تلاتة لكل تربية مش زي اللي
+
+435
+00:47:58,440 --> 00:48:02,060
+جابله واحد وامشي و الله تمانية و الله خمسة زي ما
+
+436
+00:48:02,060 --> 00:48:06,120
+قالت في بعض المسائل يبقى دير بالك بنجيب هذا السؤال
+
+437
+00:48:06,120 --> 00:48:10,820
+في الخيارات المتعددة نعطيك geometric series ونقولك
+
+438
+00:48:10,820 --> 00:48:15,240
+المجموع تبعها يساويو نحط لك عدة خيارات يبقى إذا
+
+439
+00:48:15,240 --> 00:48:20,000
+غلطت في الحد الأول ضيعت الخيار تبعك تمام؟ يبقى
+
+440
+00:48:20,000 --> 00:48:25,120
+ضروري تدققلي على شكل الحد الأول يبقى هذا ال first
+
+441
+00:48:25,120 --> 00:48:30,460
+term هو عبارة عن سالبين ع تلاتة لكل تربية هاي
+
+442
+00:48:30,460 --> 00:48:38,260
+مظبوط؟ شكل الحد الأول؟ يبقى له أربعة أتساع يبقى
+
+443
+00:48:38,260 --> 00:48:42,740
+باجي بقوله هذه conversion لضعيفينيبقى convert
+
+444
+00:48:42,740 --> 00:48:51,340
+geometric series because absolute value للارض
+
+445
+00:48:51,340 --> 00:48:57,100
+absolute value لسالي طولتين يعني طولتين أقل من
+
+446
+00:48:57,100 --> 00:49:01,740
+الواحد الصحيح مدام أقل من الواحد الصحيح أختمنا
+
+447
+00:49:01,740 --> 00:49:07,790
+عليها بإنها convertبدا نوجد المجموعة تبعها يبقى
+
+448
+00:49:07,790 --> 00:49:14,630
+its sum المجموعة تبعها its يساوى الحد الأول بيدا
+
+449
+00:49:14,630 --> 00:49:19,790
+كسبوه لك زي ما هو مشان ماتغلطش هسالب اتنين على
+
+450
+00:49:19,790 --> 00:49:26,410
+تلاتة لكل تربية على واحد ناقص الأساس اللي هو ناقص
+
+451
+00:49:26,410 --> 00:49:34,420
+تلتين فبنقول هذا كويس هذا بيصير أربع على تسعةهذا
+
+452
+00:49:34,420 --> 00:49:42,020
+واحد زائد تلتين يعني خمسة على تلاتة يبقى هذا خمسة
+
+453
+00:49:42,020 --> 00:49:49,180
+على تلاتة يعني أربعة تسعة مضروبة في تلتة خمسة على
+
+454
+00:49:49,180 --> 00:49:53,860
+التلاتة فيها الواحد على التلاتة فيها التلاتة يبقى
+
+455
+00:49:53,860 --> 00:49:59,500
+بصير عندك أربعة على تلاتة في خمسة بخمستاشر مجموع
+
+456
+00:49:59,500 --> 00:50:05,460
+ال seriesتمام؟ لازمنا في هذا ال section و لما
+
+457
+00:50:05,460 --> 00:50:10,480
+ننتهي بعد و ان شاء الله المرة الجاية بنكمل هذا ال
+
+458
+00:50:10,480 --> 00:50:16,120
+section و بنعطيك ال exercises ان شاء الله تعالى
+
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/yc5RE5HwE40_raw.json b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/yc5RE5HwE40_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..eb6fee8a2238776b5aa3b9773a63931750831850
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/yc5RE5HwE40_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 270, "start": 0.0, "end": 2.7, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3769531349341075, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.005245208740234375, "words": [{"start": 0.0, "end": 2.7, "word": "موسيقى", "probability": 0.734765625}], "temperature": 1.0}, {"id": 2, "seek": 3019, "start": 10.19, "end": 30.19, "text": "بسم الله الرحمن الرحيم نكمل ما ابتدأنا به في المرة الماضية وهي سيكشن عشرة واحد infinite sequences طبعا أخدنا غالب ال sections وبقيت نقطتان صغيرتان النقطة الأولى the sequence a in is called monotonic", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 24793, 1211, 19446, 48127, 2655, 3215, 10721, 8315, 39627, 8978, 9673, 25720, 9673, 46958, 10632, 37037, 1829, 8608, 1829, 4117, 8592, 1863, 6225, 8592, 25720, 36764, 24401, 13785, 22978, 23032, 3555, 3615, 995, 5551, 9778, 3215, 8315, 32771, 6027, 3555, 2423, 10863, 4032, 3555, 4587, 36081, 8717, 47432, 2655, 7649, 20328, 17082, 13546, 2655, 7649, 28239, 47432, 3660, 16247, 12610, 7578, 264, 8310, 257, 294, 307, 1219, 1108, 310, 11630], "avg_logprob": -0.2170138888888889, "compression_ratio": 1.535, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 10.19, "end": 10.51, "word": "بسم", "probability": 0.764404296875}, {"start": 10.51, "end": 10.71, "word": " الله", "probability": 0.96875}, {"start": 10.71, "end": 11.15, "word": " الرحمن", "probability": 0.96728515625}, {"start": 11.15, "end": 11.65, "word": " الرحيم", "probability": 0.9933268229166666}, {"start": 11.65, "end": 13.15, "word": " نكمل", "probability": 0.8997395833333334}, {"start": 13.15, "end": 13.45, "word": " ما", "probability": 0.457275390625}, {"start": 13.45, "end": 14.11, "word": " ابتدأنا", "probability": 0.87119140625}, {"start": 14.11, "end": 14.31, "word": " به", "probability": 0.5419921875}, {"start": 14.31, "end": 14.47, "word": " في", "probability": 0.873046875}, {"start": 14.47, "end": 14.89, "word": " المرة", "probability": 0.97216796875}, {"start": 14.89, "end": 15.85, "word": " الماضية", "probability": 0.9920247395833334}, {"start": 15.85, "end": 16.17, "word": " وهي", "probability": 0.53759765625}, {"start": 16.17, "end": 16.75, "word": " سيكشن", "probability": 0.706103515625}, {"start": 16.75, "end": 17.37, "word": " عشرة", "probability": 0.7430013020833334}, {"start": 17.37, "end": 17.81, "word": " واحد", "probability": 0.9130859375}, {"start": 17.81, "end": 18.51, "word": " infinite", "probability": 0.490478515625}, {"start": 18.51, "end": 19.67, "word": " sequences", "probability": 0.69775390625}, {"start": 19.67, "end": 20.53, "word": " طبعا", "probability": 0.9302978515625}, {"start": 20.53, "end": 20.99, "word": " أخدنا", "probability": 0.82415771484375}, {"start": 20.99, "end": 21.29, "word": " غالب", "probability": 0.9425455729166666}, {"start": 21.29, "end": 21.43, "word": " ال", "probability": 0.76318359375}, {"start": 21.43, "end": 21.81, "word": " sections", "probability": 0.7216796875}, {"start": 21.81, "end": 22.53, "word": " وبقيت", "probability": 0.7470703125}, {"start": 22.53, "end": 23.49, "word": " نقطتان", "probability": 0.93115234375}, {"start": 23.49, "end": 24.61, "word": " صغيرتان", "probability": 0.9837890625}, {"start": 24.61, "end": 25.79, "word": " النقطة", "probability": 0.9625651041666666}, {"start": 25.79, "end": 26.59, "word": " الأولى", "probability": 0.9762369791666666}, {"start": 26.59, "end": 26.91, "word": " the", "probability": 0.2386474609375}, {"start": 26.91, "end": 27.67, "word": " sequence", "probability": 0.98486328125}, {"start": 27.67, "end": 28.11, "word": " a", "probability": 0.48681640625}, {"start": 28.11, "end": 28.47, "word": " in", "probability": 0.3642578125}, {"start": 28.47, "end": 28.87, "word": " is", "probability": 0.8857421875}, {"start": 28.87, "end": 29.23, "word": " called", "probability": 0.857421875}, {"start": 29.23, "end": 30.19, "word": " monotonic", "probability": 0.8478190104166666}], "temperature": 1.0}, {"id": 3, "seek": 4531, "start": 34.33, "end": 45.31, "text": "بالطبع نرجع إلى ما سبق دراسته بالنسبة للفункشنز نذكر في كالكولاس ايه؟ خدنا الـ monotonic function", "tokens": [3555, 6027, 9566, 3555, 3615, 8717, 47341, 3615, 30731, 19446, 8608, 3555, 4587, 11778, 23557, 3794, 47395, 20666, 1863, 35457, 3660, 24976, 5172, 26533, 8592, 1863, 11622, 8717, 8848, 37983, 8978, 9122, 6027, 4117, 12610, 32277, 1975, 1829, 3224, 22807, 16490, 3215, 8315, 2423, 39184, 1108, 310, 11630, 2445], "avg_logprob": -0.5368750214576721, "compression_ratio": 1.2, "no_speech_prob": 0.0, "words": [{"start": 34.330000000000005, "end": 35.59, "word": "بالطبع", "probability": 0.6374267578125}, {"start": 35.59, "end": 36.47, "word": " نرجع", "probability": 0.388427734375}, {"start": 36.47, "end": 37.25, "word": " إلى", "probability": 0.43115234375}, {"start": 37.25, "end": 37.75, "word": " ما", "probability": 0.69384765625}, {"start": 37.75, "end": 38.21, "word": " سبق", "probability": 0.9124348958333334}, {"start": 38.21, "end": 38.81, "word": " دراسته", "probability": 0.8099365234375}, {"start": 38.81, "end": 39.37, "word": " بالنسبة", "probability": 0.95361328125}, {"start": 39.37, "end": 40.83, "word": " للفункشنز", "probability": 0.5135701497395834}, {"start": 40.83, "end": 41.61, "word": " نذكر", "probability": 0.766845703125}, {"start": 41.61, "end": 41.81, "word": " في", "probability": 0.5673828125}, {"start": 41.81, "end": 42.57, "word": " كالكولاس", "probability": 0.60322265625}, {"start": 42.57, "end": 42.93, "word": " ايه؟", "probability": 0.67791748046875}, {"start": 42.93, "end": 43.53, "word": " خدنا", "probability": 0.725830078125}, {"start": 43.53, "end": 43.97, "word": " الـ", "probability": 0.54150390625}, {"start": 43.97, "end": 44.63, "word": " monotonic", "probability": 0.7841796875}, {"start": 44.63, "end": 45.31, "word": " function", "probability": 0.8447265625}], "temperature": 1.0}, {"id": 4, "seek": 6983, "start": 49.19, "end": 69.83, "text": "إذا كانت increasing أو decreasing، لكن الأثنين مع بعض، لأ ليست monotonic وهذا ما درسناه في calculus A اللي هانيجي لل series نفس، ال sequences نفس المفهوم ال sequence بقول عنها monotonic إن كانت increasing على طول", "tokens": [28814, 15730, 25961, 2655, 5662, 34051, 23223, 12399, 44381, 16247, 12984, 1863, 9957, 20449, 45030, 11242, 12399, 5296, 10721, 32239, 14851, 1108, 310, 11630, 37037, 15730, 19446, 11778, 2288, 3794, 8315, 3224, 8978, 33400, 316, 13672, 1829, 8032, 7649, 1829, 7435, 1829, 24976, 2638, 8717, 36178, 12399, 2423, 22978, 8717, 36178, 9673, 5172, 3224, 20498, 2423, 8310, 4724, 39648, 18871, 11296, 1108, 310, 11630, 36145, 25961, 2655, 5662, 15844, 23032, 12610], "avg_logprob": -0.24804686423805025, "compression_ratio": 1.5714285714285714, "no_speech_prob": 0.0, "words": [{"start": 49.19, "end": 49.65, "word": "إذا", "probability": 0.638916015625}, {"start": 49.65, "end": 50.35, "word": " كانت", "probability": 0.935791015625}, {"start": 50.35, "end": 51.13, "word": " increasing", "probability": 0.7626953125}, {"start": 51.13, "end": 52.01, "word": " أو", "probability": 0.677734375}, {"start": 52.01, "end": 52.93, "word": " decreasing،", "probability": 0.7105712890625}, {"start": 52.93, "end": 53.13, "word": " لكن", "probability": 0.95703125}, {"start": 53.13, "end": 53.63, "word": " الأثنين", "probability": 0.73052978515625}, {"start": 53.63, "end": 53.87, "word": " مع", "probability": 0.94287109375}, {"start": 53.87, "end": 54.55, "word": " بعض،", "probability": 0.85888671875}, {"start": 54.55, "end": 55.05, "word": " لأ", "probability": 0.7109375}, {"start": 55.05, "end": 55.55, "word": " ليست", "probability": 0.910400390625}, {"start": 55.55, "end": 56.31, "word": " monotonic", "probability": 0.7962239583333334}, {"start": 56.31, "end": 57.03, "word": " وهذا", "probability": 0.7342529296875}, {"start": 57.03, "end": 57.19, "word": " ما", "probability": 0.96533203125}, {"start": 57.19, "end": 57.85, "word": " درسناه", "probability": 0.89365234375}, {"start": 57.85, "end": 57.97, "word": " في", "probability": 0.90673828125}, {"start": 57.97, "end": 58.37, "word": " calculus", "probability": 0.62548828125}, {"start": 58.37, "end": 59.23, "word": " A", "probability": 0.66259765625}, {"start": 59.23, "end": 59.87, "word": " اللي", "probability": 0.7802734375}, {"start": 59.87, "end": 60.39, "word": " هانيجي", "probability": 0.830029296875}, {"start": 60.39, "end": 60.55, "word": " لل", "probability": 0.88330078125}, {"start": 60.55, "end": 61.03, "word": " series", "probability": 0.39306640625}, {"start": 61.03, "end": 61.67, "word": " نفس،", "probability": 0.62255859375}, {"start": 61.67, "end": 61.87, "word": " ال", "probability": 0.252197265625}, {"start": 61.87, "end": 62.69, "word": " sequences", "probability": 0.658203125}, {"start": 62.69, "end": 63.65, "word": " نفس", "probability": 0.857666015625}, {"start": 63.65, "end": 64.55, "word": " المفهوم", "probability": 0.970703125}, {"start": 64.55, "end": 65.03, "word": " ال", "probability": 0.482421875}, {"start": 65.03, "end": 65.71, "word": " sequence", "probability": 0.98828125}, {"start": 65.71, "end": 66.07, "word": " بقول", "probability": 0.92822265625}, {"start": 66.07, "end": 66.39, "word": " عنها", "probability": 0.986083984375}, {"start": 66.39, "end": 67.45, "word": " monotonic", "probability": 0.8899739583333334}, {"start": 67.45, "end": 67.85, "word": " إن", "probability": 0.67333984375}, {"start": 67.85, "end": 68.25, "word": " كانت", "probability": 0.98974609375}, {"start": 68.25, "end": 68.71, "word": " increasing", "probability": 0.99169921875}, {"start": 68.71, "end": 69.19, "word": " على", "probability": 0.92041015625}, {"start": 69.19, "end": 69.83, "word": " طول", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 5, "seek": 9797, "start": 70.13, "end": 97.97, "text": "أو decreasing على طول واحدة منهم مش الاتنين فمثلا لو جاتي قولت ال sequence ثلاثة على ان زاد واحد بدي ابحث هل هي monotonic والله ماهياش monotonic اذا بدي اشوف هل هي increasing والله decreasing يبقى ال sequence هذه بقدر اقول عليها is decreasing decreasing ليش؟ because", "tokens": [10721, 2407, 23223, 15844, 23032, 12610, 36764, 24401, 3660, 9154, 16095, 37893, 2423, 9307, 1863, 9957, 6156, 2304, 12984, 15040, 45164, 10874, 9307, 1829, 12174, 12610, 2655, 2423, 8310, 38637, 1211, 5718, 104, 3660, 15844, 16472, 30767, 18513, 36764, 24401, 4724, 16254, 48127, 5016, 12984, 8032, 1211, 39896, 1108, 310, 11630, 16070, 43761, 19446, 3224, 1829, 33599, 1108, 310, 11630, 1975, 15730, 4724, 16254, 1975, 8592, 38688, 8032, 1211, 39896, 5662, 16070, 43761, 23223, 7251, 3555, 4587, 7578, 2423, 8310, 29538, 4724, 28543, 2288, 1975, 39648, 25894, 11296, 307, 23223, 23223, 32239, 8592, 22807, 570], "avg_logprob": -0.2221679617650807, "compression_ratio": 1.7702702702702702, "no_speech_prob": 0.0, "words": [{"start": 70.13, "end": 70.55, "word": "أو", "probability": 0.7000732421875}, {"start": 70.55, "end": 71.25, "word": " decreasing", "probability": 0.24365234375}, {"start": 71.25, "end": 72.21, "word": " على", "probability": 0.72265625}, {"start": 72.21, "end": 72.65, "word": " طول", "probability": 0.983154296875}, {"start": 72.65, "end": 73.39, "word": " واحدة", "probability": 0.8414713541666666}, {"start": 73.39, "end": 73.79, "word": " منهم", "probability": 0.958251953125}, {"start": 73.79, "end": 74.29, "word": " مش", "probability": 0.348388671875}, {"start": 74.29, "end": 74.89, "word": " الاتنين", "probability": 0.73638916015625}, {"start": 74.89, "end": 75.75, "word": " فمثلا", "probability": 0.82293701171875}, {"start": 75.75, "end": 76.61, "word": " لو", "probability": 0.70361328125}, {"start": 76.61, "end": 76.89, "word": " جاتي", "probability": 0.7359212239583334}, {"start": 76.89, "end": 77.15, "word": " قولت", "probability": 0.7376302083333334}, {"start": 77.15, "end": 77.31, "word": " ال", "probability": 0.56591796875}, {"start": 77.31, "end": 77.69, "word": " sequence", "probability": 0.810546875}, {"start": 77.69, "end": 78.51, "word": " ثلاثة", "probability": 0.87900390625}, {"start": 78.51, "end": 78.71, "word": " على", "probability": 0.7080078125}, {"start": 78.71, "end": 79.13, "word": " ان", "probability": 0.398193359375}, {"start": 79.13, "end": 79.51, "word": " زاد", "probability": 0.833251953125}, {"start": 79.51, "end": 79.81, "word": " واحد", "probability": 0.96435546875}, {"start": 79.81, "end": 80.15, "word": " بدي", "probability": 0.6705322265625}, {"start": 80.15, "end": 80.59, "word": " ابحث", "probability": 0.8317057291666666}, {"start": 80.59, "end": 80.85, "word": " هل", "probability": 0.97412109375}, {"start": 80.85, "end": 81.09, "word": " هي", "probability": 0.9150390625}, {"start": 81.09, "end": 82.15, "word": " monotonic", "probability": 0.7517903645833334}, {"start": 82.15, "end": 82.73, "word": " والله", "probability": 0.767822265625}, {"start": 82.73, "end": 83.29, "word": " ماهياش", "probability": 0.964599609375}, {"start": 83.29, "end": 83.99, "word": " monotonic", "probability": 0.8382161458333334}, {"start": 83.99, "end": 84.57, "word": " اذا", "probability": 0.7196044921875}, {"start": 84.57, "end": 84.87, "word": " بدي", "probability": 0.968017578125}, {"start": 84.87, "end": 85.25, "word": " اشوف", "probability": 0.9142252604166666}, {"start": 85.25, "end": 85.87, "word": " هل", "probability": 0.96435546875}, {"start": 85.87, "end": 86.21, "word": " هي", "probability": 0.94091796875}, {"start": 86.21, "end": 87.19, "word": " increasing", "probability": 0.98828125}, {"start": 87.19, "end": 88.47, "word": " والله", "probability": 0.89501953125}, {"start": 88.47, "end": 89.29, "word": " decreasing", "probability": 0.95654296875}, {"start": 89.29, "end": 90.11, "word": " يبقى", "probability": 0.82470703125}, {"start": 90.11, "end": 90.27, "word": " ال", "probability": 0.96435546875}, {"start": 90.27, "end": 90.71, "word": " sequence", "probability": 0.99072265625}, {"start": 90.71, "end": 91.13, "word": " هذه", "probability": 0.6005859375}, {"start": 91.13, "end": 91.67, "word": " بقدر", "probability": 0.9793294270833334}, {"start": 91.67, "end": 91.95, "word": " اقول", "probability": 0.90869140625}, {"start": 91.95, "end": 92.53, "word": " عليها", "probability": 0.985107421875}, {"start": 92.53, "end": 93.09, "word": " is", "probability": 0.76806640625}, {"start": 93.09, "end": 94.41, "word": " decreasing", "probability": 0.95556640625}, {"start": 94.41, "end": 96.49, "word": " decreasing", "probability": 0.94873046875}, {"start": 96.49, "end": 97.51, "word": " ليش؟", "probability": 0.869140625}, {"start": 97.51, "end": 97.97, "word": " because", "probability": 0.81494140625}], "temperature": 1.0}, {"id": 6, "seek": 12574, "start": 99.7, "end": 125.74, "text": "تعالى شوف الحد النونى الحد النونى اللى هو تلاتة على N زائد واحد خد للحد النونى زائد واحد الحد اللى يليه يبقى هو تلاتة على N زائد واحد زائد واحد يبقى تلاتة على N زائد اتنين من اللى اكبر ال term الاول ولا ال term التانى", "tokens": [2655, 3615, 6027, 7578, 13412, 38688, 21542, 3215, 28239, 11536, 7578, 21542, 3215, 28239, 11536, 7578, 13672, 7578, 31439, 6055, 1211, 9307, 3660, 15844, 426, 30767, 16373, 3215, 36764, 24401, 16490, 3215, 24976, 24401, 28239, 11536, 7578, 30767, 16373, 3215, 36764, 24401, 21542, 3215, 13672, 7578, 7251, 20292, 3224, 7251, 3555, 4587, 7578, 31439, 6055, 1211, 9307, 3660, 15844, 426, 30767, 16373, 3215, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 15844, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 9154, 13672, 7578, 1975, 4117, 26890, 2423, 1433, 42963, 12610, 49429, 2423, 1433, 16712, 7649, 7578], "avg_logprob": -0.17863582361202973, "compression_ratio": 2.5369127516778525, "no_speech_prob": 0.0, "words": [{"start": 99.7, "end": 100.12, "word": "تعالى", "probability": 0.677764892578125}, {"start": 100.12, "end": 100.36, "word": " شوف", "probability": 0.55523681640625}, {"start": 100.36, "end": 101.12, "word": " الحد", "probability": 0.6849365234375}, {"start": 101.12, "end": 101.9, "word": " النونى", "probability": 0.7998046875}, {"start": 101.9, "end": 103.06, "word": " الحد", "probability": 0.79150390625}, {"start": 103.06, "end": 103.54, "word": " النونى", "probability": 0.9485677083333334}, {"start": 103.54, "end": 103.64, "word": " اللى", "probability": 0.6793212890625}, {"start": 103.64, "end": 103.8, "word": " هو", "probability": 0.93505859375}, {"start": 103.8, "end": 104.54, "word": " تلاتة", "probability": 0.84130859375}, {"start": 104.54, "end": 104.78, "word": " على", "probability": 0.7529296875}, {"start": 104.78, "end": 105.1, "word": " N", "probability": 0.332763671875}, {"start": 105.1, "end": 105.64, "word": " زائد", "probability": 0.8707682291666666}, {"start": 105.64, "end": 106.06, "word": " واحد", "probability": 0.9853515625}, {"start": 106.06, "end": 107.34, "word": " خد", "probability": 0.831298828125}, {"start": 107.34, "end": 108.16, "word": " للحد", "probability": 0.87646484375}, {"start": 108.16, "end": 109.12, "word": " النونى", "probability": 0.96533203125}, {"start": 109.12, "end": 109.72, "word": " زائد", "probability": 0.9064127604166666}, {"start": 109.72, "end": 110.18, "word": " واحد", "probability": 0.990234375}, {"start": 110.18, "end": 110.76, "word": " الحد", "probability": 0.9150390625}, {"start": 110.76, "end": 111.18, "word": " اللى", "probability": 0.91064453125}, {"start": 111.18, "end": 111.98, "word": " يليه", "probability": 0.88916015625}, {"start": 111.98, "end": 112.92, "word": " يبقى", "probability": 0.860595703125}, {"start": 112.92, "end": 113.16, "word": " هو", "probability": 0.95849609375}, {"start": 113.16, "end": 114.12, "word": " تلاتة", "probability": 0.9815673828125}, {"start": 114.12, "end": 114.72, "word": " على", "probability": 0.8984375}, {"start": 114.72, "end": 115.28, "word": " N", "probability": 0.97509765625}, {"start": 115.28, "end": 115.96, "word": " زائد", "probability": 0.9850260416666666}, {"start": 115.96, "end": 116.54, "word": " واحد", "probability": 0.99267578125}, {"start": 116.54, "end": 117.1, "word": " زائد", "probability": 0.947265625}, {"start": 117.1, "end": 117.62, "word": " واحد", "probability": 0.99169921875}, {"start": 117.62, "end": 118.48, "word": " يبقى", "probability": 0.970703125}, {"start": 118.48, "end": 119.2, "word": " تلاتة", "probability": 0.9830322265625}, {"start": 119.2, "end": 119.48, "word": " على", "probability": 0.908203125}, {"start": 119.48, "end": 120.0, "word": " N", "probability": 0.9736328125}, {"start": 120.0, "end": 120.7, "word": " زائد", "probability": 0.9851888020833334}, {"start": 120.7, "end": 121.32, "word": " اتنين", "probability": 0.913818359375}, {"start": 121.32, "end": 122.18, "word": " من", "probability": 0.5947265625}, {"start": 122.18, "end": 122.42, "word": " اللى", "probability": 0.840576171875}, {"start": 122.42, "end": 123.0, "word": " اكبر", "probability": 0.822998046875}, {"start": 123.0, "end": 123.44, "word": " ال", "probability": 0.6826171875}, {"start": 123.44, "end": 123.76, "word": " term", "probability": 0.9150390625}, {"start": 123.76, "end": 124.34, "word": " الاول", "probability": 0.7646484375}, {"start": 124.34, "end": 124.68, "word": " ولا", "probability": 0.513671875}, {"start": 124.68, "end": 124.86, "word": " ال", "probability": 0.9013671875}, {"start": 124.86, "end": 125.14, "word": " term", "probability": 0.6796875}, {"start": 125.14, "end": 125.74, "word": " التانى", "probability": 0.8857421875}], "temperature": 1.0}, {"id": 7, "seek": 14132, "start": 125.88, "end": 141.32, "text": "الأول أكبر لأن مقامه أقل كل ما يصغر المقام بزيد الكثير يبقى الحد الأول هذا اللي هو An أكبر من الحد التاني اللي هو An زائد واحد", "tokens": [6027, 10721, 12610, 5551, 4117, 26890, 5296, 33456, 3714, 4587, 10943, 3224, 5551, 4587, 1211, 28242, 19446, 7251, 9381, 17082, 2288, 9673, 4587, 10943, 4724, 11622, 25708, 33251, 12984, 13546, 7251, 3555, 4587, 7578, 21542, 3215, 16247, 12610, 23758, 13672, 1829, 31439, 1107, 5551, 4117, 26890, 9154, 21542, 3215, 16712, 7649, 1829, 13672, 1829, 31439, 1107, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.19405241526903644, "compression_ratio": 1.7076923076923076, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 125.88, "end": 126.36, "word": "الأول", "probability": 0.6750895182291666}, {"start": 126.36, "end": 127.7, "word": " أكبر", "probability": 0.83642578125}, {"start": 127.7, "end": 127.96, "word": " لأن", "probability": 0.818115234375}, {"start": 127.96, "end": 128.78, "word": " مقامه", "probability": 0.9345703125}, {"start": 128.78, "end": 129.74, "word": " أقل", "probability": 0.9659830729166666}, {"start": 129.74, "end": 130.3, "word": " كل", "probability": 0.52294921875}, {"start": 130.3, "end": 130.54, "word": " ما", "probability": 0.83056640625}, {"start": 130.54, "end": 131.08, "word": " يصغر", "probability": 0.9647216796875}, {"start": 131.08, "end": 131.72, "word": " المقام", "probability": 0.9747721354166666}, {"start": 131.72, "end": 132.5, "word": " بزيد", "probability": 0.8017578125}, {"start": 132.5, "end": 133.36, "word": " الكثير", "probability": 0.8365885416666666}, {"start": 133.36, "end": 134.24, "word": " يبقى", "probability": 0.84326171875}, {"start": 134.24, "end": 134.68, "word": " الحد", "probability": 0.984619140625}, {"start": 134.68, "end": 135.4, "word": " الأول", "probability": 0.974609375}, {"start": 135.4, "end": 135.76, "word": " هذا", "probability": 0.68505859375}, {"start": 135.76, "end": 135.92, "word": " اللي", "probability": 0.5885009765625}, {"start": 135.92, "end": 136.14, "word": " هو", "probability": 0.90283203125}, {"start": 136.14, "end": 136.7, "word": " An", "probability": 0.1990966796875}, {"start": 136.7, "end": 137.62, "word": " أكبر", "probability": 0.9632161458333334}, {"start": 137.62, "end": 137.86, "word": " من", "probability": 0.97265625}, {"start": 137.86, "end": 138.32, "word": " الحد", "probability": 0.99169921875}, {"start": 138.32, "end": 138.8, "word": " التاني", "probability": 0.9700520833333334}, {"start": 138.8, "end": 139.08, "word": " اللي", "probability": 0.911376953125}, {"start": 139.08, "end": 139.1, "word": " هو", "probability": 0.939453125}, {"start": 139.1, "end": 139.86, "word": " An", "probability": 0.89892578125}, {"start": 139.86, "end": 140.96, "word": " زائد", "probability": 0.7323404947916666}, {"start": 140.96, "end": 141.32, "word": " واحد", "probability": 0.8017578125}], "temperature": 1.0}, {"id": 8, "seek": 16294, "start": 141.8, "end": 162.94, "text": "ما دام هيك يبقى ال series هادي تنازلية على تسعودية تنازلية يعني decreasing تناقصية يبقى هادي decreasing because الحد النوني دائما و أفدا أكبر من من الحد النوني زائد واحد", "tokens": [15042, 11778, 10943, 39896, 4117, 7251, 3555, 4587, 7578, 2423, 2638, 8032, 995, 16254, 6055, 1863, 31377, 1211, 10632, 15844, 6055, 3794, 3615, 23328, 10632, 6055, 1863, 31377, 1211, 10632, 37495, 22653, 23223, 6055, 8315, 4587, 9381, 10632, 7251, 3555, 4587, 7578, 8032, 995, 16254, 23223, 570, 21542, 3215, 28239, 11536, 1829, 11778, 16373, 15042, 4032, 5551, 5172, 28259, 5551, 4117, 26890, 9154, 9154, 21542, 3215, 28239, 11536, 1829, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.2372916603088379, "compression_ratio": 1.6829268292682926, "no_speech_prob": 0.0, "words": [{"start": 141.8, "end": 142.04, "word": "ما", "probability": 0.266845703125}, {"start": 142.04, "end": 142.42, "word": " دام", "probability": 0.934814453125}, {"start": 142.42, "end": 142.96, "word": " هيك", "probability": 0.757080078125}, {"start": 142.96, "end": 143.94, "word": " يبقى", "probability": 0.8870849609375}, {"start": 143.94, "end": 144.18, "word": " ال", "probability": 0.861328125}, {"start": 144.18, "end": 144.62, "word": " series", "probability": 0.70849609375}, {"start": 144.62, "end": 145.48, "word": " هادي", "probability": 0.77392578125}, {"start": 145.48, "end": 146.5, "word": " تنازلية", "probability": 0.760205078125}, {"start": 146.5, "end": 146.7, "word": " على", "probability": 0.271240234375}, {"start": 146.7, "end": 147.86, "word": " تسعودية", "probability": 0.6251953125}, {"start": 147.86, "end": 149.26, "word": " تنازلية", "probability": 0.88388671875}, {"start": 149.26, "end": 149.72, "word": " يعني", "probability": 0.920166015625}, {"start": 149.72, "end": 150.76, "word": " decreasing", "probability": 0.9501953125}, {"start": 150.76, "end": 152.16, "word": " تناقصية", "probability": 0.87548828125}, {"start": 152.16, "end": 153.04, "word": " يبقى", "probability": 0.946044921875}, {"start": 153.04, "end": 153.46, "word": " هادي", "probability": 0.89453125}, {"start": 153.46, "end": 154.38, "word": " decreasing", "probability": 0.79248046875}, {"start": 154.38, "end": 155.14, "word": " because", "probability": 0.7705078125}, {"start": 155.14, "end": 155.74, "word": " الحد", "probability": 0.987548828125}, {"start": 155.74, "end": 156.38, "word": " النوني", "probability": 0.8824869791666666}, {"start": 156.38, "end": 156.96, "word": " دائما", "probability": 0.8396809895833334}, {"start": 156.96, "end": 157.18, "word": " و", "probability": 0.350830078125}, {"start": 157.18, "end": 157.78, "word": " أفدا", "probability": 0.7708333333333334}, {"start": 157.78, "end": 158.84, "word": " أكبر", "probability": 0.8629557291666666}, {"start": 158.84, "end": 159.12, "word": " من", "probability": 0.92919921875}, {"start": 159.12, "end": 159.4, "word": " من", "probability": 0.369140625}, {"start": 159.4, "end": 160.56, "word": " الحد", "probability": 0.912841796875}, {"start": 160.56, "end": 161.4, "word": " النوني", "probability": 0.9583333333333334}, {"start": 161.4, "end": 162.44, "word": " زائد", "probability": 0.8426106770833334}, {"start": 162.44, "end": 162.94, "word": " واحد", "probability": 0.953857421875}], "temperature": 1.0}, {"id": 9, "seek": 19266, "start": 163.04, "end": 192.66, "text": "لكل إن اللي أكبر من أو تسوى من واحد لإنه قولنا ال sequence بتبدأ من عند الواحد اتنين تلاتة إلى آخرين تمام؟ يبقى هذه ال sequence بناء عليه is monotonic يبقى هنا الساعة ال sequence اللي هي من؟ اللي هي تلاتة على إن plus one is monotonic", "tokens": [1211, 28820, 36145, 13672, 1829, 5551, 4117, 26890, 9154, 34051, 6055, 3794, 2407, 7578, 9154, 36764, 24401, 5296, 28814, 1863, 3224, 12174, 12610, 8315, 2423, 8310, 39894, 44510, 10721, 9154, 43242, 2423, 14407, 24401, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 30731, 19753, 34740, 9957, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 29538, 2423, 8310, 44945, 16606, 47356, 307, 1108, 310, 11630, 7251, 3555, 4587, 7578, 34105, 21136, 995, 27884, 2423, 8310, 13672, 1829, 39896, 9154, 22807, 13672, 1829, 39896, 6055, 1211, 9307, 3660, 15844, 36145, 1804, 472, 307, 1108, 310, 11630], "avg_logprob": -0.22190823944959234, "compression_ratio": 1.8258706467661692, "no_speech_prob": 0.0, "words": [{"start": 163.04, "end": 164.38, "word": "لكل", "probability": 0.571533203125}, {"start": 164.38, "end": 164.96, "word": " إن", "probability": 0.29931640625}, {"start": 164.96, "end": 165.26, "word": " اللي", "probability": 0.857421875}, {"start": 165.26, "end": 165.96, "word": " أكبر", "probability": 0.94970703125}, {"start": 165.96, "end": 166.26, "word": " من", "probability": 0.98388671875}, {"start": 166.26, "end": 166.6, "word": " أو", "probability": 0.87255859375}, {"start": 166.6, "end": 167.14, "word": " تسوى", "probability": 0.78466796875}, {"start": 167.14, "end": 167.3, "word": " من", "probability": 0.58984375}, {"start": 167.3, "end": 167.56, "word": " واحد", "probability": 0.9013671875}, {"start": 167.56, "end": 167.9, "word": " لإنه", "probability": 0.678955078125}, {"start": 167.9, "end": 168.1, "word": " قولنا", "probability": 0.5269775390625}, {"start": 168.1, "end": 168.26, "word": " ال", "probability": 0.806640625}, {"start": 168.26, "end": 168.74, "word": " sequence", "probability": 0.73779296875}, {"start": 168.74, "end": 169.74, "word": " بتبدأ", "probability": 0.91064453125}, {"start": 169.74, "end": 169.88, "word": " من", "probability": 0.951171875}, {"start": 169.88, "end": 170.18, "word": " عند", "probability": 0.83740234375}, {"start": 170.18, "end": 170.68, "word": " الواحد", "probability": 0.91259765625}, {"start": 170.68, "end": 171.12, "word": " اتنين", "probability": 0.81158447265625}, {"start": 171.12, "end": 171.76, "word": " تلاتة", "probability": 0.9498291015625}, {"start": 171.76, "end": 172.06, "word": " إلى", "probability": 0.7666015625}, {"start": 172.06, "end": 172.78, "word": " آخرين", "probability": 0.88330078125}, {"start": 172.78, "end": 173.9, "word": " تمام؟", "probability": 0.6931966145833334}, {"start": 173.9, "end": 174.34, "word": " يبقى", "probability": 0.968017578125}, {"start": 174.34, "end": 174.64, "word": " هذه", "probability": 0.8291015625}, {"start": 174.64, "end": 174.76, "word": " ال", "probability": 0.95849609375}, {"start": 174.76, "end": 175.12, "word": " sequence", "probability": 0.9833984375}, {"start": 175.12, "end": 175.66, "word": " بناء", "probability": 0.87841796875}, {"start": 175.66, "end": 176.08, "word": " عليه", "probability": 0.87548828125}, {"start": 176.08, "end": 176.56, "word": " is", "probability": 0.81884765625}, {"start": 176.56, "end": 177.84, "word": " monotonic", "probability": 0.9080403645833334}, {"start": 177.84, "end": 178.82, "word": " يبقى", "probability": 0.98193359375}, {"start": 178.82, "end": 179.18, "word": " هنا", "probability": 0.974609375}, {"start": 179.18, "end": 180.38, "word": " الساعة", "probability": 0.732421875}, {"start": 180.38, "end": 180.66, "word": " ال", "probability": 0.469482421875}, {"start": 180.66, "end": 182.14, "word": " sequence", "probability": 0.9794921875}, {"start": 182.14, "end": 182.86, "word": " اللي", "probability": 0.861572265625}, {"start": 182.86, "end": 183.1, "word": " هي", "probability": 0.84423828125}, {"start": 183.1, "end": 183.74, "word": " من؟", "probability": 0.659912109375}, {"start": 183.74, "end": 184.92, "word": " اللي", "probability": 0.943603515625}, {"start": 184.92, "end": 185.16, "word": " هي", "probability": 0.89306640625}, {"start": 185.16, "end": 186.42, "word": " تلاتة", "probability": 0.9769287109375}, {"start": 186.42, "end": 187.16, "word": " على", "probability": 0.7880859375}, {"start": 187.16, "end": 187.78, "word": " إن", "probability": 0.8330078125}, {"start": 187.78, "end": 188.44, "word": " plus", "probability": 0.73046875}, {"start": 188.44, "end": 188.96, "word": " one", "probability": 0.94384765625}, {"start": 188.96, "end": 189.84, "word": " is", "probability": 0.9423828125}, {"start": 189.84, "end": 192.66, "word": " monotonic", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 10, "seek": 22285, "start": 198.57, "end": 222.85, "text": "طيب نجرح اللقطة الأخيرة من هذا ال section وهي نظرية، theorem النص بيقول مات if a sequence a, m is both bounded", "tokens": [9566, 1829, 3555, 8717, 7435, 2288, 5016, 13672, 47432, 3660, 16247, 9778, 48923, 9154, 23758, 2423, 3541, 37037, 1829, 8717, 19913, 2288, 10632, 12399, 20904, 28239, 9381, 4724, 1829, 39648, 3714, 9307, 498, 257, 8310, 257, 11, 275, 307, 1293, 37498], "avg_logprob": -0.44308035643327803, "compression_ratio": 1.161764705882353, "no_speech_prob": 0.0, "words": [{"start": 198.57, "end": 198.91, "word": "طيب", "probability": 0.6545817057291666}, {"start": 198.91, "end": 199.47, "word": " نجرح", "probability": 0.856689453125}, {"start": 199.47, "end": 200.47, "word": " اللقطة", "probability": 0.5357259114583334}, {"start": 200.47, "end": 201.23, "word": " الأخيرة", "probability": 0.8943684895833334}, {"start": 201.23, "end": 201.47, "word": " من", "probability": 0.94677734375}, {"start": 201.47, "end": 201.89, "word": " هذا", "probability": 0.5205078125}, {"start": 201.89, "end": 201.99, "word": " ال", "probability": 0.791015625}, {"start": 201.99, "end": 202.45, "word": " section", "probability": 0.6884765625}, {"start": 202.45, "end": 203.97, "word": " وهي", "probability": 0.77001953125}, {"start": 203.97, "end": 205.23, "word": " نظرية،", "probability": 0.8059814453125}, {"start": 205.23, "end": 206.05, "word": " theorem", "probability": 0.76708984375}, {"start": 206.05, "end": 209.61, "word": " النص", "probability": 0.740478515625}, {"start": 209.61, "end": 210.01, "word": " بيقول", "probability": 0.705078125}, {"start": 210.01, "end": 210.51, "word": " مات", "probability": 0.43841552734375}, {"start": 210.51, "end": 211.11, "word": " if", "probability": 0.556640625}, {"start": 211.11, "end": 213.01, "word": " a", "probability": 0.83984375}, {"start": 213.01, "end": 214.11, "word": " sequence", "probability": 0.97412109375}, {"start": 214.11, "end": 215.51, "word": " a,", "probability": 0.369873046875}, {"start": 215.69, "end": 216.07, "word": " m", "probability": 0.45947265625}, {"start": 216.07, "end": 218.77, "word": " is", "probability": 0.8623046875}, {"start": 218.77, "end": 220.93, "word": " both", "probability": 0.927734375}, {"start": 220.93, "end": 222.85, "word": " bounded", "probability": 0.9130859375}], "temperature": 1.0}, {"id": 11, "seek": 25441, "start": 229.21, "end": 254.41, "text": "مو نوتونيك ومو نوتونيك ثم ثم الترتيب يتحرك تحرك كل ترتيب", "tokens": [2304, 2407, 8717, 35473, 11536, 1829, 4117, 4032, 2304, 2407, 8717, 35473, 11536, 1829, 4117, 38637, 2304, 38637, 2304, 16712, 2288, 31371, 3555, 7251, 2655, 5016, 31747, 6055, 5016, 31747, 28242, 6055, 2288, 31371, 3555], "avg_logprob": -0.5355902512868246, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 229.21, "end": 229.67, "word": "مو", "probability": 0.305023193359375}, {"start": 229.67, "end": 230.57, "word": " نوتونيك", "probability": 0.73740234375}, {"start": 230.57, "end": 237.97, "word": " ومو", "probability": 0.7263997395833334}, {"start": 237.97, "end": 239.55, "word": " نوتونيك", "probability": 0.97275390625}, {"start": 239.55, "end": 242.67, "word": " ثم", "probability": 0.779052734375}, {"start": 242.67, "end": 246.89, "word": " ثم", "probability": 0.6317138671875}, {"start": 246.89, "end": 247.61, "word": " الترتيب", "probability": 0.431640625}, {"start": 247.61, "end": 248.37, "word": " يتحرك", "probability": 0.5123291015625}, {"start": 248.37, "end": 253.49, "word": " تحرك", "probability": 0.555419921875}, {"start": 253.49, "end": 253.71, "word": " كل", "probability": 0.2303466796875}, {"start": 253.71, "end": 254.41, "word": " ترتيب", "probability": 0.90771484375}], "temperature": 1.0}, {"id": 12, "seek": 28567, "start": 259.13, "end": 285.67, "text": "محظو المظهر السابق ماكنتش هيك كان بيشترق شرطين انه تبقى ال sequence non decreasing يعني increasing او constant sequence و bounded from above إذا تحقق هذان الشرطان يبقى بقول ان ال sequence convergent مااشترتش لقلي increasing ولا لقلي bounded فقط", "tokens": [2304, 5016, 19913, 2407, 9673, 19913, 3224, 2288, 21136, 16758, 4587, 19446, 19452, 2655, 8592, 39896, 4117, 25961, 4724, 1829, 8592, 2655, 2288, 4587, 13412, 2288, 9566, 9957, 16472, 3224, 6055, 3555, 4587, 7578, 2423, 8310, 2107, 23223, 37495, 22653, 5662, 1975, 2407, 5754, 8310, 4032, 37498, 490, 3673, 11933, 15730, 6055, 5016, 4587, 4587, 8032, 8848, 7649, 25124, 2288, 9566, 7649, 7251, 3555, 4587, 7578, 4724, 39648, 16472, 2423, 8310, 9652, 6930, 19446, 33599, 2655, 43500, 8592, 5296, 4587, 20292, 5662, 49429, 5296, 4587, 20292, 37498, 6156, 47432], "avg_logprob": -0.24513888938559425, "compression_ratio": 1.6714285714285715, "no_speech_prob": 0.0, "words": [{"start": 259.13, "end": 259.67, "word": "محظو", "probability": 0.611541748046875}, {"start": 259.67, "end": 260.13, "word": " المظهر", "probability": 0.6343994140625}, {"start": 260.13, "end": 260.97, "word": " السابق", "probability": 0.8924153645833334}, {"start": 260.97, "end": 262.53, "word": " ماكنتش", "probability": 0.6581878662109375}, {"start": 262.53, "end": 262.85, "word": " هيك", "probability": 0.842041015625}, {"start": 262.85, "end": 263.09, "word": " كان", "probability": 0.615234375}, {"start": 263.09, "end": 263.67, "word": " بيشترق", "probability": 0.8578287760416666}, {"start": 263.67, "end": 264.45, "word": " شرطين", "probability": 0.8936767578125}, {"start": 264.45, "end": 265.35, "word": " انه", "probability": 0.645751953125}, {"start": 265.35, "end": 265.75, "word": " تبقى", "probability": 0.9627685546875}, {"start": 265.75, "end": 265.93, "word": " ال", "probability": 0.890625}, {"start": 265.93, "end": 266.71, "word": " sequence", "probability": 0.87548828125}, {"start": 266.71, "end": 267.63, "word": " non", "probability": 0.7158203125}, {"start": 267.63, "end": 268.59, "word": " decreasing", "probability": 0.72314453125}, {"start": 268.59, "end": 269.59, "word": " يعني", "probability": 0.870361328125}, {"start": 269.59, "end": 270.71, "word": " increasing", "probability": 0.92529296875}, {"start": 270.71, "end": 271.23, "word": " او", "probability": 0.931640625}, {"start": 271.23, "end": 271.67, "word": " constant", "probability": 0.9248046875}, {"start": 271.67, "end": 272.49, "word": " sequence", "probability": 0.91845703125}, {"start": 272.49, "end": 273.05, "word": " و", "probability": 0.79150390625}, {"start": 273.05, "end": 273.47, "word": " bounded", "probability": 0.810546875}, {"start": 273.47, "end": 273.91, "word": " from", "probability": 0.9296875}, {"start": 273.91, "end": 274.83, "word": " above", "probability": 0.92919921875}, {"start": 274.83, "end": 275.55, "word": " إذا", "probability": 0.769775390625}, {"start": 275.55, "end": 276.27, "word": " تحقق", "probability": 0.97705078125}, {"start": 276.27, "end": 276.73, "word": " هذان", "probability": 0.7630208333333334}, {"start": 276.73, "end": 277.65, "word": " الشرطان", "probability": 0.9305419921875}, {"start": 277.65, "end": 278.45, "word": " يبقى", "probability": 0.95458984375}, {"start": 278.45, "end": 279.05, "word": " بقول", "probability": 0.893310546875}, {"start": 279.05, "end": 279.45, "word": " ان", "probability": 0.71923828125}, {"start": 279.45, "end": 279.65, "word": " ال", "probability": 0.83056640625}, {"start": 279.65, "end": 280.09, "word": " sequence", "probability": 0.9873046875}, {"start": 280.09, "end": 280.79, "word": " convergent", "probability": 0.599853515625}, {"start": 280.79, "end": 281.73, "word": " مااشترتش", "probability": 0.655517578125}, {"start": 281.73, "end": 282.67, "word": " لقلي", "probability": 0.5768229166666666}, {"start": 282.67, "end": 283.31, "word": " increasing", "probability": 0.98193359375}, {"start": 283.31, "end": 283.63, "word": " ولا", "probability": 0.76904296875}, {"start": 283.63, "end": 284.15, "word": " لقلي", "probability": 0.9842122395833334}, {"start": 284.15, "end": 284.81, "word": " bounded", "probability": 0.94970703125}, {"start": 284.81, "end": 285.67, "word": " فقط", "probability": 0.996826171875}], "temperature": 1.0}, {"id": 13, "seek": 31335, "start": 285.93, "end": 313.35, "text": "وكونوا bounded يعني bounded from above and bounded from below من الناحيتين بقول bounded وبسكت طبعا طيب إذا ال sequence هذه كانت bounded وفي نفس الوقت كانت monotonic يعني إما increasing أو decreasing يبقى في هذه الحالة تكون ال sequence معاها convert نعطي مثال على ذلك example", "tokens": [2407, 30544, 14407, 37498, 37495, 22653, 37498, 490, 3673, 293, 37498, 490, 2507, 9154, 2423, 8315, 5016, 36081, 9957, 4724, 39648, 37498, 46599, 3794, 4117, 2655, 23032, 3555, 3615, 995, 23032, 1829, 3555, 11933, 15730, 2423, 8310, 29538, 25961, 2655, 37498, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 25961, 2655, 1108, 310, 11630, 37495, 22653, 11933, 15042, 5662, 34051, 23223, 7251, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 6055, 30544, 2423, 8310, 20449, 995, 11296, 7620, 8717, 3615, 9566, 1829, 50113, 6027, 15844, 29910, 23275, 1365], "avg_logprob": -0.20809659819034013, "compression_ratio": 1.6329113924050633, "no_speech_prob": 0.0, "words": [{"start": 285.93, "end": 286.69, "word": "وكونوا", "probability": 0.5138346354166666}, {"start": 286.69, "end": 287.23, "word": " bounded", "probability": 0.2197265625}, {"start": 287.23, "end": 287.71, "word": " يعني", "probability": 0.858154296875}, {"start": 287.71, "end": 288.29, "word": " bounded", "probability": 0.57568359375}, {"start": 288.29, "end": 288.81, "word": " from", "probability": 0.85693359375}, {"start": 288.81, "end": 289.61, "word": " above", "probability": 0.93359375}, {"start": 289.61, "end": 290.01, "word": " and", "probability": 0.62744140625}, {"start": 290.01, "end": 290.51, "word": " bounded", "probability": 0.9482421875}, {"start": 290.51, "end": 291.15, "word": " from", "probability": 0.9248046875}, {"start": 291.15, "end": 292.33, "word": " below", "probability": 0.9140625}, {"start": 292.33, "end": 292.83, "word": " من", "probability": 0.58447265625}, {"start": 292.83, "end": 293.79, "word": " الناحيتين", "probability": 0.86123046875}, {"start": 293.79, "end": 294.47, "word": " بقول", "probability": 0.845947265625}, {"start": 294.47, "end": 294.93, "word": " bounded", "probability": 0.9404296875}, {"start": 294.93, "end": 295.63, "word": " وبسكت", "probability": 0.787841796875}, {"start": 295.63, "end": 296.19, "word": " طبعا", "probability": 0.76995849609375}, {"start": 296.19, "end": 297.05, "word": " طيب", "probability": 0.81298828125}, {"start": 297.05, "end": 297.31, "word": " إذا", "probability": 0.90185546875}, {"start": 297.31, "end": 297.45, "word": " ال", "probability": 0.9013671875}, {"start": 297.45, "end": 297.91, "word": " sequence", "probability": 0.95751953125}, {"start": 297.91, "end": 298.27, "word": " هذه", "probability": 0.468505859375}, {"start": 298.27, "end": 298.93, "word": " كانت", "probability": 0.9833984375}, {"start": 298.93, "end": 299.61, "word": " bounded", "probability": 0.94873046875}, {"start": 299.61, "end": 300.55, "word": " وفي", "probability": 0.91845703125}, {"start": 300.55, "end": 300.93, "word": " نفس", "probability": 0.99853515625}, {"start": 300.93, "end": 301.47, "word": " الوقت", "probability": 0.98974609375}, {"start": 301.47, "end": 302.07, "word": " كانت", "probability": 0.99169921875}, {"start": 302.07, "end": 303.39, "word": " monotonic", "probability": 0.7999674479166666}, {"start": 303.39, "end": 304.01, "word": " يعني", "probability": 0.945556640625}, {"start": 304.01, "end": 304.47, "word": " إما", "probability": 0.788330078125}, {"start": 304.47, "end": 305.21, "word": " increasing", "probability": 0.98095703125}, {"start": 305.21, "end": 305.65, "word": " أو", "probability": 0.86572265625}, {"start": 305.65, "end": 306.33, "word": " decreasing", "probability": 0.9833984375}, {"start": 306.33, "end": 307.19, "word": " يبقى", "probability": 0.9476318359375}, {"start": 307.19, "end": 307.31, "word": " في", "probability": 0.9814453125}, {"start": 307.31, "end": 307.61, "word": " هذه", "probability": 0.96533203125}, {"start": 307.61, "end": 308.03, "word": " الحالة", "probability": 0.98046875}, {"start": 308.03, "end": 308.31, "word": " تكون", "probability": 0.34619140625}, {"start": 308.31, "end": 308.45, "word": " ال", "probability": 0.90625}, {"start": 308.45, "end": 308.79, "word": " sequence", "probability": 0.9833984375}, {"start": 308.79, "end": 309.35, "word": " معاها", "probability": 0.859375}, {"start": 309.35, "end": 310.65, "word": " convert", "probability": 0.396240234375}, {"start": 310.65, "end": 311.51, "word": " نعطي", "probability": 0.9862060546875}, {"start": 311.51, "end": 311.99, "word": " مثال", "probability": 0.958251953125}, {"start": 311.99, "end": 312.25, "word": " على", "probability": 0.92822265625}, {"start": 312.25, "end": 312.77, "word": " ذلك", "probability": 0.9921875}, {"start": 312.77, "end": 313.35, "word": " example", "probability": 0.767578125}], "temperature": 1.0}, {"id": 14, "seek": 34560, "start": 318.18, "end": 345.6, "text": "لو أخدنا الـ sequence مثلا 1 على N² 1 على N تربية بالشكل اللي عندنا هذا اللي هو main اللي هي عبارة عن 1 و 4 و 9 1 على 16 و إلى ما شاء الله 1 على N تربية زائد إلى ما شاء الله", "tokens": [1211, 2407, 5551, 9778, 3215, 8315, 2423, 39184, 8310, 50113, 15040, 502, 15844, 426, 27643, 502, 15844, 426, 6055, 25513, 10632, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 13672, 1829, 31439, 2135, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 502, 4032, 1017, 4032, 1722, 502, 15844, 3165, 4032, 30731, 19446, 13412, 16606, 21984, 502, 15844, 426, 6055, 25513, 10632, 30767, 16373, 3215, 30731, 19446, 13412, 16606, 21984], "avg_logprob": -0.22968749297516686, "compression_ratio": 1.7267080745341614, "no_speech_prob": 0.0, "words": [{"start": 318.18, "end": 318.6, "word": "لو", "probability": 0.732666015625}, {"start": 318.6, "end": 319.22, "word": " أخدنا", "probability": 0.85205078125}, {"start": 319.22, "end": 320.08, "word": " الـ", "probability": 0.37060546875}, {"start": 320.08, "end": 320.96, "word": " sequence", "probability": 0.5966796875}, {"start": 320.96, "end": 323.16, "word": " مثلا", "probability": 0.849609375}, {"start": 323.16, "end": 324.36, "word": " 1", "probability": 0.46044921875}, {"start": 324.36, "end": 324.9, "word": " على", "probability": 0.56298828125}, {"start": 324.9, "end": 326.46, "word": " N²", "probability": 0.3382568359375}, {"start": 326.46, "end": 327.6, "word": " 1", "probability": 0.457763671875}, {"start": 327.6, "end": 328.0, "word": " على", "probability": 0.83935546875}, {"start": 328.0, "end": 328.22, "word": " N", "probability": 0.93798828125}, {"start": 328.22, "end": 328.56, "word": " تربية", "probability": 0.8154296875}, {"start": 328.56, "end": 329.0, "word": " بالشكل", "probability": 0.8111165364583334}, {"start": 329.0, "end": 329.14, "word": " اللي", "probability": 0.923828125}, {"start": 329.14, "end": 329.38, "word": " عندنا", "probability": 0.706298828125}, {"start": 329.38, "end": 329.72, "word": " هذا", "probability": 0.7314453125}, {"start": 329.72, "end": 330.66, "word": " اللي", "probability": 0.880615234375}, {"start": 330.66, "end": 330.86, "word": " هو", "probability": 0.986328125}, {"start": 330.86, "end": 331.24, "word": " main", "probability": 0.269775390625}, {"start": 331.24, "end": 332.08, "word": " اللي", "probability": 0.951904296875}, {"start": 332.08, "end": 332.28, "word": " هي", "probability": 0.68505859375}, {"start": 332.28, "end": 332.78, "word": " عبارة", "probability": 0.9930419921875}, {"start": 332.78, "end": 333.04, "word": " عن", "probability": 0.990234375}, {"start": 333.04, "end": 333.7, "word": " 1", "probability": 0.79736328125}, {"start": 333.7, "end": 334.64, "word": " و", "probability": 0.9111328125}, {"start": 334.64, "end": 335.02, "word": " 4", "probability": 0.4931640625}, {"start": 335.02, "end": 336.02, "word": " و", "probability": 0.9013671875}, {"start": 336.02, "end": 336.52, "word": " 9", "probability": 0.8857421875}, {"start": 336.52, "end": 337.6, "word": " 1", "probability": 0.499755859375}, {"start": 337.6, "end": 337.98, "word": " على", "probability": 0.73095703125}, {"start": 337.98, "end": 338.86, "word": " 16", "probability": 0.98486328125}, {"start": 338.86, "end": 339.6, "word": " و", "probability": 0.96826171875}, {"start": 339.6, "end": 339.94, "word": " إلى", "probability": 0.9287109375}, {"start": 339.94, "end": 340.3, "word": " ما", "probability": 0.97802734375}, {"start": 340.3, "end": 340.8, "word": " شاء", "probability": 0.9970703125}, {"start": 340.8, "end": 341.28, "word": " الله", "probability": 0.95703125}, {"start": 341.28, "end": 342.18, "word": " 1", "probability": 0.89892578125}, {"start": 342.18, "end": 342.56, "word": " على", "probability": 0.92138671875}, {"start": 342.56, "end": 342.92, "word": " N", "probability": 0.982421875}, {"start": 342.92, "end": 343.48, "word": " تربية", "probability": 0.9762369791666666}, {"start": 343.48, "end": 344.46, "word": " زائد", "probability": 0.8839518229166666}, {"start": 344.46, "end": 344.7, "word": " إلى", "probability": 0.96728515625}, {"start": 344.7, "end": 345.02, "word": " ما", "probability": 0.984375}, {"start": 345.02, "end": 345.3, "word": " شاء", "probability": 0.99560546875}, {"start": 345.3, "end": 345.6, "word": " الله", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 15, "seek": 36288, "start": 346.98, "end": 362.88, "text": "طبعا يبقى بداني أشوف هل ال sequence هذي convert ولا diver نشوف هل الشرقين هذه المتحققات ولا لا؟ boundary يبقى بدني أشوف هل boundary from above و boundary from below ولا لا؟", "tokens": [9566, 3555, 3615, 995, 7251, 3555, 4587, 7578, 47525, 7649, 1829, 5551, 8592, 38688, 8032, 1211, 2423, 8310, 8032, 8848, 1829, 7620, 49429, 18558, 8717, 8592, 38688, 8032, 1211, 25124, 2288, 4587, 9957, 8032, 8848, 3224, 9673, 2655, 5016, 4587, 4587, 9307, 49429, 20193, 22807, 12866, 7251, 3555, 4587, 7578, 47525, 22653, 5551, 8592, 38688, 8032, 1211, 12866, 490, 3673, 4032, 12866, 490, 2507, 49429, 20193, 22807], "avg_logprob": -0.40119485951521816, "compression_ratio": 1.6193548387096774, "no_speech_prob": 0.0, "words": [{"start": 346.98, "end": 347.8, "word": "طبعا", "probability": 0.7207412719726562}, {"start": 347.8, "end": 348.26, "word": " يبقى", "probability": 0.6881103515625}, {"start": 348.26, "end": 348.6, "word": " بداني", "probability": 0.619384765625}, {"start": 348.6, "end": 348.88, "word": " أشوف", "probability": 0.7535807291666666}, {"start": 348.88, "end": 349.1, "word": " هل", "probability": 0.909912109375}, {"start": 349.1, "end": 349.24, "word": " ال", "probability": 0.67333984375}, {"start": 349.24, "end": 349.64, "word": " sequence", "probability": 0.470947265625}, {"start": 349.64, "end": 350.06, "word": " هذي", "probability": 0.6800130208333334}, {"start": 350.06, "end": 350.72, "word": " convert", "probability": 0.277587890625}, {"start": 350.72, "end": 351.7, "word": " ولا", "probability": 0.60791015625}, {"start": 351.7, "end": 352.64, "word": " diver", "probability": 0.3642578125}, {"start": 352.64, "end": 354.0, "word": " نشوف", "probability": 0.7081705729166666}, {"start": 354.0, "end": 354.54, "word": " هل", "probability": 0.96533203125}, {"start": 354.54, "end": 355.28, "word": " الشرقين", "probability": 0.842529296875}, {"start": 355.28, "end": 355.58, "word": " هذه", "probability": 0.5965983072916666}, {"start": 355.58, "end": 356.58, "word": " المتحققات", "probability": 0.982666015625}, {"start": 356.58, "end": 356.76, "word": " ولا", "probability": 0.61083984375}, {"start": 356.76, "end": 357.94, "word": " لا؟", "probability": 0.58544921875}, {"start": 357.94, "end": 358.52, "word": " boundary", "probability": 0.1614990234375}, {"start": 358.52, "end": 358.78, "word": " يبقى", "probability": 0.80865478515625}, {"start": 358.78, "end": 359.04, "word": " بدني", "probability": 0.540771484375}, {"start": 359.04, "end": 359.28, "word": " أشوف", "probability": 0.9736328125}, {"start": 359.28, "end": 359.72, "word": " هل", "probability": 0.927734375}, {"start": 359.72, "end": 360.06, "word": " boundary", "probability": 0.3974609375}, {"start": 360.06, "end": 360.44, "word": " from", "probability": 0.845703125}, {"start": 360.44, "end": 361.04, "word": " above", "probability": 0.9228515625}, {"start": 361.04, "end": 361.22, "word": " و", "probability": 0.6884765625}, {"start": 361.22, "end": 361.5, "word": " boundary", "probability": 0.59375}, {"start": 361.5, "end": 361.92, "word": " from", "probability": 0.92138671875}, {"start": 361.92, "end": 362.3, "word": " below", "probability": 0.91796875}, {"start": 362.3, "end": 362.46, "word": " ولا", "probability": 0.90185546875}, {"start": 362.46, "end": 362.88, "word": " لا؟", "probability": 0.8974609375}], "temperature": 1.0}, {"id": 16, "seek": 38927, "start": 363.17, "end": 389.27, "text": "لكن الحد الأول واحد، وبعدها تبدأ تنزل أقل منه، أقل منه، أقل منه، في الآخر ستصل إلى أين؟ إلى الـ Zero. إذن هذه الـ Boundary from above by one و from below by zero. يبقى اللي above كان في بداية ال sequence و اللي below كان في نهاية ال sequence. يبقى باجي بقوله this", "tokens": [1211, 19452, 21542, 3215, 16247, 12610, 36764, 24401, 12399, 46599, 22488, 11296, 6055, 44510, 10721, 6055, 1863, 11622, 1211, 5551, 4587, 1211, 9154, 3224, 12399, 5551, 4587, 1211, 9154, 3224, 12399, 5551, 4587, 1211, 9154, 3224, 12399, 8978, 6024, 95, 34740, 8608, 2655, 36520, 30731, 5551, 9957, 22807, 30731, 2423, 39184, 17182, 13, 11933, 8848, 1863, 29538, 2423, 39184, 363, 554, 822, 490, 3673, 538, 472, 4032, 490, 2507, 538, 4018, 13, 7251, 3555, 4587, 7578, 13672, 1829, 3673, 25961, 8978, 4724, 28259, 10632, 2423, 8310, 4032, 13672, 1829, 2507, 25961, 8978, 8717, 11296, 10632, 2423, 8310, 13, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 341], "avg_logprob": -0.3332386377182874, "compression_ratio": 1.7272727272727273, "no_speech_prob": 0.0, "words": [{"start": 363.17, "end": 363.61, "word": "لكن", "probability": 0.2113037109375}, {"start": 363.61, "end": 364.01, "word": " الحد", "probability": 0.754638671875}, {"start": 364.01, "end": 364.65, "word": " الأول", "probability": 0.95068359375}, {"start": 364.65, "end": 365.53, "word": " واحد،", "probability": 0.639892578125}, {"start": 365.53, "end": 365.91, "word": " وبعدها", "probability": 0.574951171875}, {"start": 365.91, "end": 366.39, "word": " تبدأ", "probability": 0.8401692708333334}, {"start": 366.39, "end": 367.51, "word": " تنزل", "probability": 0.9404296875}, {"start": 367.51, "end": 368.47, "word": " أقل", "probability": 0.91943359375}, {"start": 368.47, "end": 369.29, "word": " منه،", "probability": 0.8092447916666666}, {"start": 369.29, "end": 370.23, "word": " أقل", "probability": 0.95703125}, {"start": 370.23, "end": 370.69, "word": " منه،", "probability": 0.8209635416666666}, {"start": 370.69, "end": 371.23, "word": " أقل", "probability": 0.951171875}, {"start": 371.23, "end": 371.37, "word": " منه،", "probability": 0.8020833333333334}, {"start": 371.37, "end": 371.43, "word": " في", "probability": 0.5087890625}, {"start": 371.43, "end": 371.79, "word": " الآخر", "probability": 0.8346354166666666}, {"start": 371.79, "end": 372.35, "word": " ستصل", "probability": 0.571533203125}, {"start": 372.35, "end": 372.55, "word": " إلى", "probability": 0.82666015625}, {"start": 372.55, "end": 372.79, "word": " أين؟", "probability": 0.7367350260416666}, {"start": 372.79, "end": 373.65, "word": " إلى", "probability": 0.546875}, {"start": 373.65, "end": 373.87, "word": " الـ", "probability": 0.71484375}, {"start": 373.87, "end": 374.07, "word": " Zero.", "probability": 0.56884765625}, {"start": 374.43, "end": 374.89, "word": " إذن", "probability": 0.7097981770833334}, {"start": 374.89, "end": 375.35, "word": " هذه", "probability": 0.69921875}, {"start": 375.35, "end": 375.49, "word": " الـ", "probability": 0.1470947265625}, {"start": 375.49, "end": 375.89, "word": " Boundary", "probability": 0.7664388020833334}, {"start": 375.89, "end": 376.09, "word": " from", "probability": 0.2010498046875}, {"start": 376.09, "end": 376.85, "word": " above", "probability": 0.75146484375}, {"start": 376.85, "end": 377.39, "word": " by", "probability": 0.60546875}, {"start": 377.39, "end": 377.97, "word": " one", "probability": 0.55517578125}, {"start": 377.97, "end": 378.75, "word": " و", "probability": 0.84521484375}, {"start": 378.75, "end": 379.09, "word": " from", "probability": 0.63623046875}, {"start": 379.09, "end": 379.53, "word": " below", "probability": 0.91845703125}, {"start": 379.53, "end": 379.93, "word": " by", "probability": 0.9736328125}, {"start": 379.93, "end": 380.39, "word": " zero.", "probability": 0.56201171875}, {"start": 380.91, "end": 381.43, "word": " يبقى", "probability": 0.9072265625}, {"start": 381.43, "end": 381.61, "word": " اللي", "probability": 0.822265625}, {"start": 381.61, "end": 382.11, "word": " above", "probability": 0.728515625}, {"start": 382.11, "end": 382.41, "word": " كان", "probability": 0.98095703125}, {"start": 382.41, "end": 382.61, "word": " في", "probability": 0.98046875}, {"start": 382.61, "end": 383.09, "word": " بداية", "probability": 0.9488932291666666}, {"start": 383.09, "end": 383.35, "word": " ال", "probability": 0.80517578125}, {"start": 383.35, "end": 383.91, "word": " sequence", "probability": 0.56591796875}, {"start": 383.91, "end": 384.73, "word": " و", "probability": 0.65869140625}, {"start": 384.73, "end": 384.91, "word": " اللي", "probability": 0.922119140625}, {"start": 384.91, "end": 385.39, "word": " below", "probability": 0.9501953125}, {"start": 385.39, "end": 385.93, "word": " كان", "probability": 0.9814453125}, {"start": 385.93, "end": 386.07, "word": " في", "probability": 0.97607421875}, {"start": 386.07, "end": 386.53, "word": " نهاية", "probability": 0.9816080729166666}, {"start": 386.53, "end": 386.71, "word": " ال", "probability": 0.93994140625}, {"start": 386.71, "end": 387.13, "word": " sequence.", "probability": 0.97119140625}, {"start": 387.51, "end": 387.89, "word": " يبقى", "probability": 0.9735107421875}, {"start": 387.89, "end": 388.27, "word": " باجي", "probability": 0.8655598958333334}, {"start": 388.27, "end": 388.81, "word": " بقوله", "probability": 0.6460774739583334}, {"start": 388.81, "end": 389.27, "word": " this", "probability": 0.54248046875}], "temperature": 1.0}, {"id": 17, "seek": 41565, "start": 390.91, "end": 415.65, "text": "سيق .. this sequence is bounded from above by one and below and below by zero", "tokens": [3794, 1829, 4587, 4386, 341, 8310, 307, 37498, 490, 3673, 538, 472, 293, 2507, 293, 2507, 538, 4018], "avg_logprob": -0.4243420958518982, "compression_ratio": 1.0389610389610389, "no_speech_prob": 0.0, "words": [{"start": 390.91, "end": 391.57, "word": "سيق", "probability": 0.3758951822916667}, {"start": 391.57, "end": 391.71, "word": " ..", "probability": 0.3125}, {"start": 391.71, "end": 391.95, "word": " this", "probability": 0.173828125}, {"start": 391.95, "end": 392.83, "word": " sequence", "probability": 0.98388671875}, {"start": 392.83, "end": 393.71, "word": " is", "probability": 0.92578125}, {"start": 393.71, "end": 395.29, "word": " bounded", "probability": 0.96142578125}, {"start": 395.29, "end": 398.05, "word": " from", "probability": 0.93896484375}, {"start": 398.05, "end": 400.41, "word": " above", "probability": 0.9521484375}, {"start": 400.41, "end": 402.83, "word": " by", "probability": 0.98388671875}, {"start": 402.83, "end": 403.81, "word": " one", "probability": 0.828125}, {"start": 403.81, "end": 405.31, "word": " and", "probability": 0.91357421875}, {"start": 405.31, "end": 407.01, "word": " below", "probability": 0.9130859375}, {"start": 407.01, "end": 412.61, "word": " and", "probability": 0.53076171875}, {"start": 412.61, "end": 413.05, "word": " below", "probability": 0.93115234375}, {"start": 413.05, "end": 414.61, "word": " by", "probability": 0.98388671875}, {"start": 414.61, "end": 415.65, "word": " zero", "probability": 0.88671875}], "temperature": 1.0}, {"id": 18, "seek": 44620, "start": 416.46, "end": 446.2, "text": "يبقى بناء عليه ال sequence هذه بتبقى مالها؟ bounded يبقى so the sequence is bounded يبقى تحقق ال condition الأولاني أن ال sequence اللي عندنا صارت bounded sequence طبعا؟ طيب يبقى نتحقق الشرط الأول تبع من؟ تبع اللي هو النظرينيجي للشرط التاني", "tokens": [1829, 3555, 4587, 7578, 44945, 16606, 47356, 2423, 8310, 29538, 39894, 3555, 4587, 7578, 3714, 6027, 11296, 22807, 37498, 7251, 3555, 4587, 7578, 370, 264, 8310, 307, 37498, 7251, 3555, 4587, 7578, 6055, 5016, 4587, 4587, 2423, 4188, 16247, 12610, 7649, 1829, 14739, 2423, 8310, 13672, 1829, 43242, 8315, 20328, 9640, 2655, 37498, 8310, 23032, 3555, 3615, 995, 22807, 23032, 1829, 3555, 7251, 3555, 4587, 7578, 8717, 2655, 5016, 4587, 4587, 25124, 2288, 9566, 16247, 12610, 6055, 3555, 3615, 9154, 22807, 6055, 3555, 3615, 13672, 1829, 31439, 28239, 19913, 2288, 9957, 1829, 7435, 1829, 24976, 46309, 9566, 16712, 7649, 1829], "avg_logprob": -0.21287129066958285, "compression_ratio": 1.8686868686868687, "no_speech_prob": 0.0, "words": [{"start": 416.46, "end": 416.94, "word": "يبقى", "probability": 0.78387451171875}, {"start": 416.94, "end": 417.3, "word": " بناء", "probability": 0.8505859375}, {"start": 417.3, "end": 417.68, "word": " عليه", "probability": 0.64306640625}, {"start": 417.68, "end": 417.88, "word": " ال", "probability": 0.7490234375}, {"start": 417.88, "end": 418.18, "word": " sequence", "probability": 0.53369140625}, {"start": 418.18, "end": 418.6, "word": " هذه", "probability": 0.52392578125}, {"start": 418.6, "end": 418.98, "word": " بتبقى", "probability": 0.79168701171875}, {"start": 418.98, "end": 419.7, "word": " مالها؟", "probability": 0.6337890625}, {"start": 419.7, "end": 420.5, "word": " bounded", "probability": 0.52880859375}, {"start": 420.5, "end": 421.78, "word": " يبقى", "probability": 0.9281005859375}, {"start": 421.78, "end": 422.1, "word": " so", "probability": 0.30859375}, {"start": 422.1, "end": 423.08, "word": " the", "probability": 0.830078125}, {"start": 423.08, "end": 424.32, "word": " sequence", "probability": 0.97607421875}, {"start": 424.32, "end": 425.54, "word": " is", "probability": 0.966796875}, {"start": 425.54, "end": 427.14, "word": " bounded", "probability": 0.93994140625}, {"start": 427.14, "end": 430.34, "word": " يبقى", "probability": 0.9654541015625}, {"start": 430.34, "end": 431.02, "word": " تحقق", "probability": 0.978515625}, {"start": 431.02, "end": 431.16, "word": " ال", "probability": 0.986328125}, {"start": 431.16, "end": 431.66, "word": " condition", "probability": 0.97412109375}, {"start": 431.66, "end": 432.72, "word": " الأولاني", "probability": 0.9476318359375}, {"start": 432.72, "end": 433.32, "word": " أن", "probability": 0.4814453125}, {"start": 433.32, "end": 433.52, "word": " ال", "probability": 0.8603515625}, {"start": 433.52, "end": 433.94, "word": " sequence", "probability": 0.99609375}, {"start": 433.94, "end": 434.2, "word": " اللي", "probability": 0.836669921875}, {"start": 434.2, "end": 434.74, "word": " عندنا", "probability": 0.992919921875}, {"start": 434.74, "end": 435.66, "word": " صارت", "probability": 0.96044921875}, {"start": 435.66, "end": 436.36, "word": " bounded", "probability": 0.904296875}, {"start": 436.36, "end": 437.5, "word": " sequence", "probability": 0.97509765625}, {"start": 437.5, "end": 438.68, "word": " طبعا؟", "probability": 0.79912109375}, {"start": 438.68, "end": 439.72, "word": " طيب", "probability": 0.9440104166666666}, {"start": 439.72, "end": 440.3, "word": " يبقى", "probability": 0.9110107421875}, {"start": 440.3, "end": 440.98, "word": " نتحقق", "probability": 0.8457275390625}, {"start": 440.98, "end": 441.44, "word": " الشرط", "probability": 0.9646809895833334}, {"start": 441.44, "end": 441.98, "word": " الأول", "probability": 0.987060546875}, {"start": 441.98, "end": 442.3, "word": " تبع", "probability": 0.9093424479166666}, {"start": 442.3, "end": 443.08, "word": " من؟", "probability": 0.731689453125}, {"start": 443.08, "end": 443.72, "word": " تبع", "probability": 0.9632161458333334}, {"start": 443.72, "end": 444.14, "word": " اللي", "probability": 0.92919921875}, {"start": 444.14, "end": 444.32, "word": " هو", "probability": 0.9619140625}, {"start": 444.32, "end": 445.02, "word": " النظرينيجي", "probability": 0.6200474330357143}, {"start": 445.02, "end": 445.62, "word": " للشرط", "probability": 0.9015299479166666}, {"start": 445.62, "end": 446.2, "word": " التاني", "probability": 0.8064778645833334}], "temperature": 1.0}, {"id": 19, "seek": 46417, "start": 449.35, "end": 464.17, "text": "الان الحد النوني هو واحد على ان تربية الحد النوني الزائد واحد هو واحد على ان زائد واحد لكل تربية", "tokens": [6027, 7649, 21542, 3215, 28239, 11536, 1829, 31439, 36764, 24401, 15844, 16472, 6055, 25513, 10632, 21542, 3215, 28239, 11536, 1829, 6024, 110, 16373, 3215, 36764, 24401, 31439, 36764, 24401, 15844, 16472, 30767, 16373, 3215, 36764, 24401, 5296, 28820, 6055, 25513, 10632], "avg_logprob": -0.22191220167137327, "compression_ratio": 2.0352941176470587, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 449.35, "end": 450.69, "word": "الان", "probability": 0.34417724609375}, {"start": 450.69, "end": 451.73, "word": " الحد", "probability": 0.91552734375}, {"start": 451.73, "end": 452.97, "word": " النوني", "probability": 0.8601888020833334}, {"start": 452.97, "end": 453.69, "word": " هو", "probability": 0.9248046875}, {"start": 453.69, "end": 454.43, "word": " واحد", "probability": 0.94580078125}, {"start": 454.43, "end": 454.81, "word": " على", "probability": 0.72705078125}, {"start": 454.81, "end": 455.15, "word": " ان", "probability": 0.310302734375}, {"start": 455.15, "end": 455.83, "word": " تربية", "probability": 0.81005859375}, {"start": 455.83, "end": 457.03, "word": " الحد", "probability": 0.647216796875}, {"start": 457.03, "end": 457.69, "word": " النوني", "probability": 0.97119140625}, {"start": 457.69, "end": 458.41, "word": " الزائد", "probability": 0.83807373046875}, {"start": 458.41, "end": 459.07, "word": " واحد", "probability": 0.990234375}, {"start": 459.07, "end": 459.65, "word": " هو", "probability": 0.94384765625}, {"start": 459.65, "end": 460.27, "word": " واحد", "probability": 0.969970703125}, {"start": 460.27, "end": 460.59, "word": " على", "probability": 0.89208984375}, {"start": 460.59, "end": 461.07, "word": " ان", "probability": 0.7998046875}, {"start": 461.07, "end": 461.87, "word": " زائد", "probability": 0.9500325520833334}, {"start": 461.87, "end": 462.45, "word": " واحد", "probability": 0.989013671875}, {"start": 462.45, "end": 462.99, "word": " لكل", "probability": 0.9677734375}, {"start": 462.99, "end": 464.17, "word": " تربية", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 20, "seek": 49521, "start": 466.73, "end": 495.21, "text": "الأول أكبر من الثاني إذا هذا صحيح لكل ال in من عند الواحد واطلع يبقى هذا صحيح لكل ال in اللي greater than or equal to one يبقى هذا شو معناه؟ معناه أن ال sequence decreasing يبقى this means that the sequence is", "tokens": [6027, 10721, 12610, 5551, 4117, 26890, 9154, 6024, 104, 7649, 1829, 11933, 15730, 23758, 20328, 5016, 1829, 5016, 5296, 28820, 2423, 294, 9154, 43242, 2423, 14407, 24401, 4032, 41193, 1211, 3615, 7251, 3555, 4587, 7578, 23758, 20328, 5016, 1829, 5016, 5296, 28820, 2423, 294, 13672, 1829, 5044, 813, 420, 2681, 281, 472, 7251, 3555, 4587, 7578, 23758, 13412, 2407, 20449, 8315, 3224, 22807, 20449, 8315, 3224, 14739, 2423, 8310, 23223, 7251, 3555, 4587, 7578, 341, 1355, 300, 264, 8310, 307], "avg_logprob": -0.16049382127361533, "compression_ratio": 1.6850828729281768, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 466.73, "end": 467.59, "word": "الأول", "probability": 0.7549641927083334}, {"start": 467.59, "end": 468.27, "word": " أكبر", "probability": 0.9573567708333334}, {"start": 468.27, "end": 468.57, "word": " من", "probability": 0.9873046875}, {"start": 468.57, "end": 469.31, "word": " الثاني", "probability": 0.93798828125}, {"start": 469.31, "end": 470.17, "word": " إذا", "probability": 0.631591796875}, {"start": 470.17, "end": 470.65, "word": " هذا", "probability": 0.7470703125}, {"start": 470.65, "end": 471.39, "word": " صحيح", "probability": 0.990478515625}, {"start": 471.39, "end": 472.35, "word": " لكل", "probability": 0.96875}, {"start": 472.35, "end": 472.69, "word": " ال", "probability": 0.6494140625}, {"start": 472.69, "end": 472.89, "word": " in", "probability": 0.13671875}, {"start": 472.89, "end": 473.11, "word": " من", "probability": 0.93017578125}, {"start": 473.11, "end": 473.45, "word": " عند", "probability": 0.9609375}, {"start": 473.45, "end": 474.07, "word": " الواحد", "probability": 0.9471028645833334}, {"start": 474.07, "end": 474.97, "word": " واطلع", "probability": 0.6884765625}, {"start": 474.97, "end": 475.53, "word": " يبقى", "probability": 0.9388427734375}, {"start": 475.53, "end": 475.89, "word": " هذا", "probability": 0.96142578125}, {"start": 475.89, "end": 476.53, "word": " صحيح", "probability": 0.99169921875}, {"start": 476.53, "end": 477.15, "word": " لكل", "probability": 0.978515625}, {"start": 477.15, "end": 477.41, "word": " ال", "probability": 0.8720703125}, {"start": 477.41, "end": 477.63, "word": " in", "probability": 0.9228515625}, {"start": 477.63, "end": 477.89, "word": " اللي", "probability": 0.7236328125}, {"start": 477.89, "end": 478.23, "word": " greater", "probability": 0.763671875}, {"start": 478.23, "end": 478.73, "word": " than", "probability": 0.96533203125}, {"start": 478.73, "end": 479.07, "word": " or", "probability": 0.859375}, {"start": 479.07, "end": 479.53, "word": " equal", "probability": 0.9365234375}, {"start": 479.53, "end": 479.99, "word": " to", "probability": 0.97412109375}, {"start": 479.99, "end": 480.47, "word": " one", "probability": 0.865234375}, {"start": 480.47, "end": 481.37, "word": " يبقى", "probability": 0.951904296875}, {"start": 481.37, "end": 481.63, "word": " هذا", "probability": 0.94677734375}, {"start": 481.63, "end": 481.87, "word": " شو", "probability": 0.89013671875}, {"start": 481.87, "end": 483.09, "word": " معناه؟", "probability": 0.8951416015625}, {"start": 483.09, "end": 483.51, "word": " معناه", "probability": 0.9425455729166666}, {"start": 483.51, "end": 483.69, "word": " أن", "probability": 0.46484375}, {"start": 483.69, "end": 483.87, "word": " ال", "probability": 0.75537109375}, {"start": 483.87, "end": 484.31, "word": " sequence", "probability": 0.96240234375}, {"start": 484.31, "end": 486.17, "word": " decreasing", "probability": 0.8583984375}, {"start": 486.17, "end": 487.61, "word": " يبقى", "probability": 0.974365234375}, {"start": 487.61, "end": 488.23, "word": " this", "probability": 0.8115234375}, {"start": 488.23, "end": 489.79, "word": " means", "probability": 0.91162109375}, {"start": 489.79, "end": 491.65, "word": " that", "probability": 0.93212890625}, {"start": 491.65, "end": 492.67, "word": " the", "probability": 0.81640625}, {"start": 492.67, "end": 493.81, "word": " sequence", "probability": 0.982421875}, {"start": 493.81, "end": 495.21, "word": " is", "probability": 0.9580078125}], "temperature": 1.0}, {"id": 21, "seek": 52354, "start": 495.63, "end": 523.55, "text": "decreasing مادام decreasing هذا معناته ان ال sequence is monotonic اذا انتحقق الشرطان لاتنين تبعت النظرية بروح بقوله by the above theorem the sequence", "tokens": [1479, 14066, 3349, 3714, 18513, 10943, 23223, 23758, 20449, 8315, 47395, 16472, 2423, 8310, 307, 1108, 310, 11630, 1975, 15730, 16472, 2655, 5016, 4587, 4587, 25124, 2288, 9566, 7649, 5296, 9307, 1863, 9957, 6055, 3555, 34268, 28239, 19913, 2288, 10632, 4724, 32887, 5016, 4724, 39648, 3224, 538, 264, 3673, 20904, 264, 8310], "avg_logprob": -0.2973172034857408, "compression_ratio": 1.3636363636363635, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 495.63, "end": 497.11, "word": "decreasing", "probability": 0.6863606770833334}, {"start": 497.11, "end": 499.35, "word": " مادام", "probability": 0.4539794921875}, {"start": 499.35, "end": 500.11, "word": " decreasing", "probability": 0.515625}, {"start": 500.11, "end": 500.71, "word": " هذا", "probability": 0.55615234375}, {"start": 500.71, "end": 501.75, "word": " معناته", "probability": 0.9806315104166666}, {"start": 501.75, "end": 502.63, "word": " ان", "probability": 0.53369140625}, {"start": 502.63, "end": 503.11, "word": " ال", "probability": 0.6298828125}, {"start": 503.11, "end": 503.69, "word": " sequence", "probability": 0.14990234375}, {"start": 503.69, "end": 505.33, "word": " is", "probability": 0.669921875}, {"start": 505.33, "end": 508.27, "word": " monotonic", "probability": 0.8854166666666666}, {"start": 508.27, "end": 510.07, "word": " اذا", "probability": 0.76904296875}, {"start": 510.07, "end": 511.01, "word": " انتحقق", "probability": 0.818017578125}, {"start": 511.01, "end": 512.23, "word": " الشرطان", "probability": 0.9666748046875}, {"start": 512.23, "end": 512.83, "word": " لاتنين", "probability": 0.797607421875}, {"start": 512.83, "end": 513.35, "word": " تبعت", "probability": 0.79443359375}, {"start": 513.35, "end": 514.15, "word": " النظرية", "probability": 0.9691162109375}, {"start": 514.15, "end": 514.97, "word": " بروح", "probability": 0.9210611979166666}, {"start": 514.97, "end": 515.77, "word": " بقوله", "probability": 0.9285481770833334}, {"start": 515.77, "end": 516.33, "word": " by", "probability": 0.73291015625}, {"start": 516.33, "end": 518.11, "word": " the", "probability": 0.8818359375}, {"start": 518.11, "end": 519.65, "word": " above", "probability": 0.900390625}, {"start": 519.65, "end": 521.37, "word": " theorem", "probability": 0.8779296875}, {"start": 521.37, "end": 522.39, "word": " the", "probability": 0.75634765625}, {"start": 522.39, "end": 523.55, "word": " sequence", "probability": 0.97900390625}], "temperature": 1.0}, {"id": 22, "seek": 55395, "start": 525.47, "end": 553.95, "text": "1 على انت ربيع convert وانتهينا من هذا ال section وإليكم أرقام المسائل الخاصة بهذا ال section يبقى exercises عشرة واحد المسائل من واحد لستة أو تسعين لل multiple of", "tokens": [16, 15844, 16472, 2655, 12602, 21292, 3615, 7620, 4032, 7649, 47395, 1829, 8315, 9154, 23758, 2423, 3541, 4032, 28814, 20292, 24793, 5551, 2288, 4587, 10943, 9673, 3794, 16373, 1211, 33962, 33546, 3660, 39627, 15730, 2423, 3541, 7251, 3555, 4587, 7578, 11900, 6225, 8592, 25720, 36764, 24401, 9673, 3794, 16373, 1211, 9154, 36764, 24401, 5296, 14851, 3660, 34051, 6055, 3794, 3615, 9957, 24976, 3866, 295], "avg_logprob": -0.21466346153846153, "compression_ratio": 1.4797687861271676, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 525.47, "end": 526.01, "word": "1", "probability": 0.128662109375}, {"start": 526.01, "end": 526.91, "word": " على", "probability": 0.52880859375}, {"start": 526.91, "end": 527.47, "word": " انت", "probability": 0.4830322265625}, {"start": 527.47, "end": 528.13, "word": " ربيع", "probability": 0.8074544270833334}, {"start": 528.13, "end": 529.13, "word": " convert", "probability": 0.533203125}, {"start": 529.13, "end": 530.87, "word": " وانتهينا", "probability": 0.9337890625}, {"start": 530.87, "end": 531.75, "word": " من", "probability": 0.97607421875}, {"start": 531.75, "end": 532.21, "word": " هذا", "probability": 0.77001953125}, {"start": 532.21, "end": 532.39, "word": " ال", "probability": 0.67822265625}, {"start": 532.39, "end": 532.79, "word": " section", "probability": 0.84619140625}, {"start": 532.79, "end": 534.29, "word": " وإليكم", "probability": 0.83203125}, {"start": 534.29, "end": 534.99, "word": " أرقام", "probability": 0.9837646484375}, {"start": 534.99, "end": 535.79, "word": " المسائل", "probability": 0.9290771484375}, {"start": 535.79, "end": 536.73, "word": " الخاصة", "probability": 0.9920247395833334}, {"start": 536.73, "end": 537.47, "word": " بهذا", "probability": 0.85791015625}, {"start": 537.47, "end": 537.81, "word": " ال", "probability": 0.82177734375}, {"start": 537.81, "end": 538.27, "word": " section", "probability": 0.83740234375}, {"start": 538.27, "end": 539.41, "word": " يبقى", "probability": 0.9610595703125}, {"start": 539.41, "end": 540.63, "word": " exercises", "probability": 0.96484375}, {"start": 540.63, "end": 542.41, "word": " عشرة", "probability": 0.732421875}, {"start": 542.41, "end": 543.19, "word": " واحد", "probability": 0.914794921875}, {"start": 543.19, "end": 545.95, "word": " المسائل", "probability": 0.9727783203125}, {"start": 545.95, "end": 546.49, "word": " من", "probability": 0.94287109375}, {"start": 546.49, "end": 547.37, "word": " واحد", "probability": 0.802978515625}, {"start": 547.37, "end": 549.19, "word": " لستة", "probability": 0.8763020833333334}, {"start": 549.19, "end": 549.49, "word": " أو", "probability": 0.368408203125}, {"start": 549.49, "end": 550.57, "word": " تسعين", "probability": 0.8314208984375}, {"start": 550.57, "end": 551.45, "word": " لل", "probability": 0.435546875}, {"start": 551.45, "end": 552.41, "word": " multiple", "probability": 0.8779296875}, {"start": 552.41, "end": 553.95, "word": " of", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 23, "seek": 58337, "start": 580.51, "end": 583.37, "text": "ننتقل الان الى section عشرة", "tokens": [1863, 29399, 4587, 1211, 2423, 7649, 2423, 7578, 3541, 6225, 8592, 25720], "avg_logprob": -0.5093149038461539, "compression_ratio": 0.8958333333333334, "no_speech_prob": 0.0, "words": [{"start": 580.51, "end": 581.35, "word": "ننتقل", "probability": 0.70928955078125}, {"start": 581.35, "end": 581.71, "word": " الان", "probability": 0.7371826171875}, {"start": 581.71, "end": 582.13, "word": " الى", "probability": 0.6470947265625}, {"start": 582.13, "end": 582.45, "word": " section", "probability": 0.277099609375}, {"start": 582.45, "end": 583.37, "word": " عشرة", "probability": 0.7455240885416666}], "temperature": 1.0}, {"id": 24, "seek": 60348, "start": 586.66, "end": 603.48, "text": "اللي هو الـ M by 9 series M by 9 series يعني 8 سلسلات اللانهائية", "tokens": [6027, 20292, 31439, 2423, 39184, 376, 538, 1722, 2638, 376, 538, 1722, 2638, 37495, 22653, 1649, 8608, 1211, 3794, 1211, 9307, 13672, 7649, 3224, 16373, 10632], "avg_logprob": -0.3509838007114552, "compression_ratio": 1.273972602739726, "no_speech_prob": 0.0, "words": [{"start": 586.66, "end": 587.04, "word": "اللي", "probability": 0.4912109375}, {"start": 587.04, "end": 587.22, "word": " هو", "probability": 0.91162109375}, {"start": 587.22, "end": 587.66, "word": " الـ", "probability": 0.52557373046875}, {"start": 587.66, "end": 588.02, "word": " M", "probability": 0.591796875}, {"start": 588.02, "end": 588.64, "word": " by", "probability": 0.498779296875}, {"start": 588.64, "end": 589.5, "word": " 9", "probability": 0.7685546875}, {"start": 589.5, "end": 592.52, "word": " series", "probability": 0.50146484375}, {"start": 592.52, "end": 596.04, "word": " M", "probability": 0.6689453125}, {"start": 596.04, "end": 596.42, "word": " by", "probability": 0.958984375}, {"start": 596.42, "end": 596.74, "word": " 9", "probability": 0.94091796875}, {"start": 596.74, "end": 597.54, "word": " series", "probability": 0.91845703125}, {"start": 597.54, "end": 598.98, "word": " يعني", "probability": 0.9306640625}, {"start": 598.98, "end": 600.12, "word": " 8", "probability": 0.07965087890625}, {"start": 600.12, "end": 601.7, "word": " سلسلات", "probability": 0.984375}, {"start": 601.7, "end": 603.48, "word": " اللانهائية", "probability": 0.9138671875}], "temperature": 1.0}, {"id": 25, "seek": 63245, "start": 608.53, "end": 632.45, "text": "يبقى كنا نتحدث سابقا عن ال infinite sequences في ال section الأول لأن في ال section التاني نتكلم عن ال infinite series يبقى المتسلسلات اللانهائية بدنا نعطي تعريف وبعد التعريف نشوف كيف بدنا نحكم على ال series هل هي converge او diverge", "tokens": [1829, 3555, 4587, 7578, 9122, 8315, 8717, 2655, 24401, 12984, 8608, 16758, 4587, 995, 18871, 2423, 13785, 22978, 8978, 2423, 3541, 16247, 12610, 5296, 33456, 8978, 2423, 3541, 16712, 7649, 1829, 8717, 2655, 4117, 19528, 18871, 2423, 13785, 2638, 7251, 3555, 4587, 7578, 9673, 2655, 3794, 1211, 3794, 1211, 9307, 13672, 7649, 3224, 16373, 10632, 47525, 8315, 8717, 3615, 9566, 1829, 37279, 16572, 5172, 46599, 22488, 16712, 3615, 16572, 5172, 8717, 8592, 38688, 9122, 33911, 47525, 8315, 8717, 5016, 24793, 15844, 2423, 2638, 8032, 1211, 39896, 41881, 1975, 2407, 18558, 432], "avg_logprob": -0.2272418471782104, "compression_ratio": 1.795, "no_speech_prob": 0.0, "words": [{"start": 608.53, "end": 608.89, "word": "يبقى", "probability": 0.641937255859375}, {"start": 608.89, "end": 609.19, "word": " كنا", "probability": 0.475830078125}, {"start": 609.19, "end": 609.83, "word": " نتحدث", "probability": 0.843994140625}, {"start": 609.83, "end": 610.59, "word": " سابقا", "probability": 0.9625244140625}, {"start": 610.59, "end": 611.01, "word": " عن", "probability": 0.485107421875}, {"start": 611.01, "end": 611.21, "word": " ال", "probability": 0.873046875}, {"start": 611.21, "end": 611.77, "word": " infinite", "probability": 0.5546875}, {"start": 611.77, "end": 612.85, "word": " sequences", "probability": 0.86279296875}, {"start": 612.85, "end": 613.53, "word": " في", "probability": 0.6689453125}, {"start": 613.53, "end": 613.65, "word": " ال", "probability": 0.67041015625}, {"start": 613.65, "end": 614.01, "word": " section", "probability": 0.65478515625}, {"start": 614.01, "end": 614.57, "word": " الأول", "probability": 0.89599609375}, {"start": 614.57, "end": 614.79, "word": " لأن", "probability": 0.3087158203125}, {"start": 614.79, "end": 614.95, "word": " في", "probability": 0.86669921875}, {"start": 614.95, "end": 615.01, "word": " ال", "probability": 0.90869140625}, {"start": 615.01, "end": 615.35, "word": " section", "probability": 0.5380859375}, {"start": 615.35, "end": 616.03, "word": " التاني", "probability": 0.8291015625}, {"start": 616.03, "end": 616.99, "word": " نتكلم", "probability": 0.93701171875}, {"start": 616.99, "end": 617.23, "word": " عن", "probability": 0.9296875}, {"start": 617.23, "end": 617.49, "word": " ال", "probability": 0.916015625}, {"start": 617.49, "end": 618.33, "word": " infinite", "probability": 0.94091796875}, {"start": 618.33, "end": 619.43, "word": " series", "probability": 0.91455078125}, {"start": 619.43, "end": 620.35, "word": " يبقى", "probability": 0.9053955078125}, {"start": 620.35, "end": 622.43, "word": " المتسلسلات", "probability": 0.9764229910714286}, {"start": 622.43, "end": 623.99, "word": " اللانهائية", "probability": 0.97744140625}, {"start": 623.99, "end": 624.75, "word": " بدنا", "probability": 0.57000732421875}, {"start": 624.75, "end": 625.17, "word": " نعطي", "probability": 0.977783203125}, {"start": 625.17, "end": 625.89, "word": " تعريف", "probability": 0.9873046875}, {"start": 625.89, "end": 626.43, "word": " وبعد", "probability": 0.7666015625}, {"start": 626.43, "end": 626.95, "word": " التعريف", "probability": 0.9932861328125}, {"start": 626.95, "end": 627.35, "word": " نشوف", "probability": 0.8720703125}, {"start": 627.35, "end": 627.63, "word": " كيف", "probability": 0.976318359375}, {"start": 627.63, "end": 627.91, "word": " بدنا", "probability": 0.9189453125}, {"start": 627.91, "end": 628.37, "word": " نحكم", "probability": 0.9947916666666666}, {"start": 628.37, "end": 629.07, "word": " على", "probability": 0.82958984375}, {"start": 629.07, "end": 629.27, "word": " ال", "probability": 0.82958984375}, {"start": 629.27, "end": 629.67, "word": " series", "probability": 0.951171875}, {"start": 629.67, "end": 629.99, "word": " هل", "probability": 0.97705078125}, {"start": 629.99, "end": 630.23, "word": " هي", "probability": 0.71826171875}, {"start": 630.23, "end": 630.97, "word": " converge", "probability": 0.63525390625}, {"start": 630.97, "end": 631.59, "word": " او", "probability": 0.81884765625}, {"start": 631.59, "end": 632.45, "word": " diverge", "probability": 0.51116943359375}], "temperature": 1.0}, {"id": 26, "seek": 65719, "start": 632.93, "end": 657.19, "text": "لو راجعنا لتعريف ال sequence بيجي نقول ال sequence على الشكل a1 فاصلة a2 فاصلة a3 فاصلة a4 لغاية فاصلة an ونبقى الماشي ال infinite series هذه الحدود بنجمعها جامعة بدل الفاصلة بنحط شعرات يبقى a1 plus a2 plus a3 plus plus إلى آخرى", "tokens": [1211, 2407, 12602, 26108, 3615, 8315, 5296, 2655, 3615, 16572, 5172, 2423, 8310, 4724, 1829, 7435, 1829, 8717, 39648, 2423, 8310, 15844, 25124, 28820, 257, 16, 6156, 33546, 37977, 257, 17, 6156, 33546, 37977, 257, 18, 6156, 33546, 37977, 257, 19, 5296, 17082, 995, 10632, 6156, 33546, 37977, 364, 4032, 1863, 3555, 4587, 7578, 9673, 33599, 1829, 2423, 13785, 2638, 29538, 21542, 3215, 23328, 44945, 7435, 2304, 3615, 11296, 10874, 10943, 27884, 47525, 1211, 27188, 33546, 37977, 44945, 5016, 9566, 13412, 3615, 2288, 9307, 7251, 3555, 4587, 7578, 257, 16, 1804, 257, 17, 1804, 257, 18, 1804, 1804, 30731, 19753, 34740, 7578], "avg_logprob": -0.20175971423537986, "compression_ratio": 1.6401869158878504, "no_speech_prob": 0.0, "words": [{"start": 632.93, "end": 633.45, "word": "لو", "probability": 0.652099609375}, {"start": 633.45, "end": 633.89, "word": " راجعنا", "probability": 0.805419921875}, {"start": 633.89, "end": 634.51, "word": " لتعريف", "probability": 0.872021484375}, {"start": 634.51, "end": 634.65, "word": " ال", "probability": 0.8623046875}, {"start": 634.65, "end": 634.95, "word": " sequence", "probability": 0.556640625}, {"start": 634.95, "end": 635.33, "word": " بيجي", "probability": 0.5565185546875}, {"start": 635.33, "end": 635.61, "word": " نقول", "probability": 0.8193359375}, {"start": 635.61, "end": 635.79, "word": " ال", "probability": 0.767578125}, {"start": 635.79, "end": 636.15, "word": " sequence", "probability": 0.962890625}, {"start": 636.15, "end": 636.39, "word": " على", "probability": 0.69775390625}, {"start": 636.39, "end": 636.87, "word": " الشكل", "probability": 0.89990234375}, {"start": 636.87, "end": 637.65, "word": " a1", "probability": 0.775390625}, {"start": 637.65, "end": 638.81, "word": " فاصلة", "probability": 0.6776529947916666}, {"start": 638.81, "end": 639.53, "word": " a2", "probability": 0.95556640625}, {"start": 639.53, "end": 640.23, "word": " فاصلة", "probability": 0.9778645833333334}, {"start": 640.23, "end": 640.87, "word": " a3", "probability": 0.994873046875}, {"start": 640.87, "end": 641.49, "word": " فاصلة", "probability": 0.9850260416666666}, {"start": 641.49, "end": 642.09, "word": " a4", "probability": 0.99609375}, {"start": 642.09, "end": 643.01, "word": " لغاية", "probability": 0.9801025390625}, {"start": 643.01, "end": 643.57, "word": " فاصلة", "probability": 0.9807942708333334}, {"start": 643.57, "end": 644.09, "word": " an", "probability": 0.418212890625}, {"start": 644.09, "end": 644.47, "word": " ونبقى", "probability": 0.766796875}, {"start": 644.47, "end": 644.99, "word": " الماشي", "probability": 0.6654459635416666}, {"start": 644.99, "end": 645.99, "word": " ال", "probability": 0.77880859375}, {"start": 645.99, "end": 646.59, "word": " infinite", "probability": 0.83740234375}, {"start": 646.59, "end": 647.25, "word": " series", "probability": 0.896484375}, {"start": 647.25, "end": 647.67, "word": " هذه", "probability": 0.861328125}, {"start": 647.67, "end": 648.27, "word": " الحدود", "probability": 0.9739583333333334}, {"start": 648.27, "end": 649.19, "word": " بنجمعها", "probability": 0.95810546875}, {"start": 649.19, "end": 649.95, "word": " جامعة", "probability": 0.7999674479166666}, {"start": 649.95, "end": 650.51, "word": " بدل", "probability": 0.951416015625}, {"start": 650.51, "end": 651.11, "word": " الفاصلة", "probability": 0.9853515625}, {"start": 651.11, "end": 651.45, "word": " بنحط", "probability": 0.768798828125}, {"start": 651.45, "end": 652.35, "word": " شعرات", "probability": 0.67486572265625}, {"start": 652.35, "end": 653.07, "word": " يبقى", "probability": 0.8681640625}, {"start": 653.07, "end": 653.57, "word": " a1", "probability": 0.970947265625}, {"start": 653.57, "end": 654.01, "word": " plus", "probability": 0.5693359375}, {"start": 654.01, "end": 654.49, "word": " a2", "probability": 0.98876953125}, {"start": 654.49, "end": 654.89, "word": " plus", "probability": 0.96875}, {"start": 654.89, "end": 655.37, "word": " a3", "probability": 0.9921875}, {"start": 655.37, "end": 655.75, "word": " plus", "probability": 0.95849609375}, {"start": 655.75, "end": 656.21, "word": " plus", "probability": 0.89501953125}, {"start": 656.21, "end": 656.55, "word": " إلى", "probability": 0.3330078125}, {"start": 656.55, "end": 657.19, "word": " آخرى", "probability": 0.8214518229166666}], "temperature": 1.0}, {"id": 27, "seek": 67339, "start": 657.45, "end": 673.39, "text": "يبقى اللى بيطلع بيكون هو بنسميه infinite series يبقى بدنا نكتب هذا ال definition و بعد هك بدنا نشوف ال convergence اللى يبقى definition an infinite series", "tokens": [1829, 3555, 4587, 7578, 13672, 7578, 4724, 1829, 9566, 1211, 3615, 4724, 1829, 30544, 31439, 44945, 38251, 1829, 3224, 13785, 2638, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 4117, 2655, 3555, 23758, 2423, 7123, 4032, 39182, 8032, 4117, 47525, 8315, 8717, 8592, 38688, 2423, 32181, 13672, 7578, 7251, 3555, 4587, 7578, 7123, 364, 13785, 2638], "avg_logprob": -0.2848772385290691, "compression_ratio": 1.5673758865248226, "no_speech_prob": 0.0, "words": [{"start": 657.45, "end": 657.89, "word": "يبقى", "probability": 0.6241455078125}, {"start": 657.89, "end": 658.01, "word": " اللى", "probability": 0.4468994140625}, {"start": 658.01, "end": 658.43, "word": " بيطلع", "probability": 0.894921875}, {"start": 658.43, "end": 658.83, "word": " بيكون", "probability": 0.70166015625}, {"start": 658.83, "end": 658.99, "word": " هو", "probability": 0.56298828125}, {"start": 658.99, "end": 659.71, "word": " بنسميه", "probability": 0.8709716796875}, {"start": 659.71, "end": 660.47, "word": " infinite", "probability": 0.6240234375}, {"start": 660.47, "end": 661.71, "word": " series", "probability": 0.8994140625}, {"start": 661.71, "end": 662.51, "word": " يبقى", "probability": 0.9334716796875}, {"start": 662.51, "end": 662.77, "word": " بدنا", "probability": 0.85009765625}, {"start": 662.77, "end": 663.09, "word": " نكتب", "probability": 0.99365234375}, {"start": 663.09, "end": 663.33, "word": " هذا", "probability": 0.48486328125}, {"start": 663.33, "end": 663.49, "word": " ال", "probability": 0.91845703125}, {"start": 663.49, "end": 663.95, "word": " definition", "probability": 0.90185546875}, {"start": 663.95, "end": 664.77, "word": " و", "probability": 0.64404296875}, {"start": 664.77, "end": 665.15, "word": " بعد", "probability": 0.9453125}, {"start": 665.15, "end": 665.65, "word": " هك", "probability": 0.54388427734375}, {"start": 665.65, "end": 665.97, "word": " بدنا", "probability": 0.9423828125}, {"start": 665.97, "end": 666.27, "word": " نشوف", "probability": 0.9762369791666666}, {"start": 666.27, "end": 666.41, "word": " ال", "probability": 0.97119140625}, {"start": 666.41, "end": 667.07, "word": " convergence", "probability": 0.96826171875}, {"start": 667.07, "end": 667.89, "word": " اللى", "probability": 0.54071044921875}, {"start": 667.89, "end": 668.87, "word": " يبقى", "probability": 0.9517822265625}, {"start": 668.87, "end": 669.91, "word": " definition", "probability": 0.6943359375}, {"start": 669.91, "end": 671.69, "word": " an", "probability": 0.54833984375}, {"start": 671.69, "end": 672.23, "word": " infinite", "probability": 0.9599609375}, {"start": 672.23, "end": 673.39, "word": " series", "probability": 0.90380859375}], "temperature": 1.0}, {"id": 28, "seek": 70307, "start": 680.23, "end": 703.07, "text": "متسلسل اللانهائية is the sum of an infinite sequence of numbers", "tokens": [2304, 2655, 3794, 1211, 3794, 1211, 13672, 7649, 3224, 16373, 10632, 307, 264, 2408, 295, 364, 13785, 8310, 295, 3547], "avg_logprob": -0.29613094670431955, "compression_ratio": 0.9634146341463414, "no_speech_prob": 0.0, "words": [{"start": 680.23, "end": 681.63, "word": "متسلسل", "probability": 0.8041585286458334}, {"start": 681.63, "end": 683.03, "word": " اللانهائية", "probability": 0.8572265625}, {"start": 683.03, "end": 684.01, "word": " is", "probability": 0.12548828125}, {"start": 684.01, "end": 685.21, "word": " the", "probability": 0.66845703125}, {"start": 685.21, "end": 686.77, "word": " sum", "probability": 0.95361328125}, {"start": 686.77, "end": 688.29, "word": " of", "probability": 0.9814453125}, {"start": 688.29, "end": 689.99, "word": " an", "probability": 0.544921875}, {"start": 689.99, "end": 690.95, "word": " infinite", "probability": 0.939453125}, {"start": 690.95, "end": 696.09, "word": " sequence", "probability": 0.96435546875}, {"start": 696.09, "end": 698.21, "word": " of", "probability": 0.80712890625}, {"start": 698.21, "end": 703.07, "word": " numbers", "probability": 0.869140625}], "temperature": 1.0}, {"id": 29, "seek": 73619, "start": 708.71, "end": 736.19, "text": "of numbers that is الانفينيت الانفينيت series is an expression in the form is an expression", "tokens": [2670, 3547, 300, 307, 2423, 7649, 5172, 9957, 36081, 2423, 7649, 5172, 9957, 36081, 2638, 307, 364, 6114, 294, 264, 1254, 307, 364, 6114], "avg_logprob": -0.31749999046325683, "compression_ratio": 1.379746835443038, "no_speech_prob": 0.0, "words": [{"start": 708.71, "end": 709.07, "word": "of", "probability": 0.55615234375}, {"start": 709.07, "end": 709.81, "word": " numbers", "probability": 0.861328125}, {"start": 709.81, "end": 710.83, "word": " that", "probability": 0.83935546875}, {"start": 710.83, "end": 712.83, "word": " is", "probability": 0.95361328125}, {"start": 712.83, "end": 718.29, "word": " الانفينيت", "probability": 0.5312255859375}, {"start": 718.29, "end": 724.47, "word": " الانفينيت", "probability": 0.8533203125}, {"start": 724.47, "end": 727.69, "word": " series", "probability": 0.736328125}, {"start": 727.69, "end": 730.17, "word": " is", "probability": 0.8935546875}, {"start": 730.17, "end": 730.35, "word": " an", "probability": 0.91357421875}, {"start": 730.35, "end": 730.91, "word": " expression", "probability": 0.87890625}, {"start": 730.91, "end": 731.19, "word": " in", "probability": 0.86279296875}, {"start": 731.19, "end": 731.31, "word": " the", "probability": 0.55126953125}, {"start": 731.31, "end": 731.75, "word": " form", "probability": 0.8876953125}, {"start": 731.75, "end": 733.41, "word": " is", "probability": 0.76806640625}, {"start": 733.41, "end": 734.43, "word": " an", "probability": 0.880859375}, {"start": 734.43, "end": 736.19, "word": " expression", "probability": 0.85107421875}], "temperature": 1.0}, {"id": 30, "seek": 75383, "start": 742.63, "end": 753.83, "text": "الشكل التالي a1 plus a2 plus a3 plus an plus نقط بالشكل اللي عندها", "tokens": [6027, 8592, 28820, 16712, 6027, 1829, 257, 16, 1804, 257, 17, 1804, 257, 18, 1804, 364, 1804, 8717, 47432, 20666, 8592, 28820, 13672, 1829, 43242, 11296], "avg_logprob": -0.3773148192299737, "compression_ratio": 1.3380281690140845, "no_speech_prob": 0.0, "words": [{"start": 742.63, "end": 744.03, "word": "الشكل", "probability": 0.4770711263020833}, {"start": 744.03, "end": 744.69, "word": " التالي", "probability": 0.8388671875}, {"start": 744.69, "end": 745.43, "word": " a1", "probability": 0.491424560546875}, {"start": 745.43, "end": 746.53, "word": " plus", "probability": 0.2626953125}, {"start": 746.53, "end": 747.35, "word": " a2", "probability": 0.976318359375}, {"start": 747.35, "end": 748.37, "word": " plus", "probability": 0.9619140625}, {"start": 748.37, "end": 749.29, "word": " a3", "probability": 0.9931640625}, {"start": 749.29, "end": 750.37, "word": " plus", "probability": 0.96337890625}, {"start": 750.37, "end": 751.29, "word": " an", "probability": 0.347900390625}, {"start": 751.29, "end": 752.19, "word": " plus", "probability": 0.92333984375}, {"start": 752.19, "end": 752.75, "word": " نقط", "probability": 0.870849609375}, {"start": 752.75, "end": 753.27, "word": " بالشكل", "probability": 0.7932942708333334}, {"start": 753.27, "end": 753.43, "word": " اللي", "probability": 0.87744140625}, {"start": 753.43, "end": 753.83, "word": " عندها", "probability": 0.90185546875}], "temperature": 1.0}, {"id": 31, "seek": 76198, "start": 759.14, "end": 761.98, "text": "هذا بقدر اكتبه على الشكل التالي", "tokens": [3224, 15730, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 3224, 15844, 25124, 28820, 16712, 6027, 1829], "avg_logprob": -0.3469669117647059, "compression_ratio": 0.9827586206896551, "no_speech_prob": 0.0, "words": [{"start": 759.14, "end": 759.58, "word": "هذا", "probability": 0.618408203125}, {"start": 759.58, "end": 759.96, "word": " بقدر", "probability": 0.7068684895833334}, {"start": 759.96, "end": 760.42, "word": " اكتبه", "probability": 0.80205078125}, {"start": 760.42, "end": 760.56, "word": " على", "probability": 0.89208984375}, {"start": 760.56, "end": 761.18, "word": " الشكل", "probability": 0.93408203125}, {"start": 761.18, "end": 761.98, "word": " التالي", "probability": 0.9609375}], "temperature": 1.0}, {"id": 32, "seek": 79258, "start": 772.18, "end": 792.58, "text": "يبقى هذا الشكل العام للسيريز أو هذا الشكل وبالتالي اختلف شكله عن شكل ال man ال sequence طب الشكل لأن هذا لو حطيت ان بواحد بحصل على مين على اي واحد summation جاء من كلمة sum يبقى جامع يبقى plus", "tokens": [1829, 3555, 4587, 7578, 23758, 25124, 28820, 18863, 10943, 24976, 3794, 13546, 1829, 11622, 34051, 23758, 25124, 28820, 46599, 6027, 2655, 6027, 1829, 1975, 46456, 46538, 13412, 28820, 3224, 18871, 13412, 28820, 2423, 587, 2423, 8310, 23032, 3555, 25124, 28820, 5296, 33456, 23758, 45164, 11331, 9566, 36081, 16472, 4724, 14407, 24401, 4724, 5016, 36520, 15844, 3714, 9957, 15844, 1975, 1829, 36764, 24401, 28811, 10874, 16606, 9154, 9122, 19528, 3660, 2408, 7251, 3555, 4587, 7578, 10874, 10943, 3615, 7251, 3555, 4587, 7578, 1804], "avg_logprob": -0.25753011042813223, "compression_ratio": 1.7005347593582887, "no_speech_prob": 0.0, "words": [{"start": 772.18, "end": 772.62, "word": "يبقى", "probability": 0.64630126953125}, {"start": 772.62, "end": 772.94, "word": " هذا", "probability": 0.87744140625}, {"start": 772.94, "end": 773.54, "word": " الشكل", "probability": 0.975830078125}, {"start": 773.54, "end": 774.34, "word": " العام", "probability": 0.976806640625}, {"start": 774.34, "end": 775.26, "word": " للسيريز", "probability": 0.6964599609375}, {"start": 775.26, "end": 775.84, "word": " أو", "probability": 0.57373046875}, {"start": 775.84, "end": 776.34, "word": " هذا", "probability": 0.95166015625}, {"start": 776.34, "end": 776.78, "word": " الشكل", "probability": 0.976318359375}, {"start": 776.78, "end": 778.04, "word": " وبالتالي", "probability": 0.85703125}, {"start": 778.04, "end": 778.6, "word": " اختلف", "probability": 0.9264322916666666}, {"start": 778.6, "end": 779.04, "word": " شكله", "probability": 0.9881184895833334}, {"start": 779.04, "end": 779.18, "word": " عن", "probability": 0.95263671875}, {"start": 779.18, "end": 779.52, "word": " شكل", "probability": 0.96142578125}, {"start": 779.52, "end": 779.74, "word": " ال", "probability": 0.630859375}, {"start": 779.74, "end": 779.96, "word": " man", "probability": 0.289306640625}, {"start": 779.96, "end": 780.44, "word": " ال", "probability": 0.59033203125}, {"start": 780.44, "end": 781.04, "word": " sequence", "probability": 0.87451171875}, {"start": 781.04, "end": 781.84, "word": " طب", "probability": 0.5445556640625}, {"start": 781.84, "end": 782.34, "word": " الشكل", "probability": 0.978759765625}, {"start": 782.34, "end": 782.82, "word": " لأن", "probability": 0.55810546875}, {"start": 782.82, "end": 783.14, "word": " هذا", "probability": 0.6259765625}, {"start": 783.14, "end": 783.4, "word": " لو", "probability": 0.75634765625}, {"start": 783.4, "end": 784.1, "word": " حطيت", "probability": 0.8943684895833334}, {"start": 784.1, "end": 784.44, "word": " ان", "probability": 0.43505859375}, {"start": 784.44, "end": 785.1, "word": " بواحد", "probability": 0.8888346354166666}, {"start": 785.1, "end": 785.56, "word": " بحصل", "probability": 0.9195963541666666}, {"start": 785.56, "end": 785.8, "word": " على", "probability": 0.75537109375}, {"start": 785.8, "end": 786.26, "word": " مين", "probability": 0.719482421875}, {"start": 786.26, "end": 787.18, "word": " على", "probability": 0.44287109375}, {"start": 787.18, "end": 787.58, "word": " اي", "probability": 0.730224609375}, {"start": 787.58, "end": 788.14, "word": " واحد", "probability": 0.980224609375}, {"start": 788.14, "end": 788.7, "word": " summation", "probability": 0.443359375}, {"start": 788.7, "end": 789.48, "word": " جاء", "probability": 0.66552734375}, {"start": 789.48, "end": 789.6, "word": " من", "probability": 0.98974609375}, {"start": 789.6, "end": 790.08, "word": " كلمة", "probability": 0.9671223958333334}, {"start": 790.08, "end": 790.44, "word": " sum", "probability": 0.86376953125}, {"start": 790.44, "end": 790.86, "word": " يبقى", "probability": 0.97509765625}, {"start": 790.86, "end": 791.4, "word": " جامع", "probability": 0.6139322916666666}, {"start": 791.4, "end": 792.16, "word": " يبقى", "probability": 0.9642333984375}, {"start": 792.16, "end": 792.58, "word": " plus", "probability": 0.953125}], "temperature": 1.0}, {"id": 33, "seek": 82055, "start": 809.15, "end": 820.55, "text": "الشكل الطويل والكبير تبع من ال series الان نبحث عن ال convergence", "tokens": [6027, 8592, 28820, 41950, 2407, 26895, 16070, 4117, 3555, 13546, 6055, 3555, 3615, 9154, 2423, 2638, 2423, 7649, 8717, 49628, 12984, 18871, 2423, 32181], "avg_logprob": -0.7225000190734864, "compression_ratio": 1.120879120879121, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 809.1500000000001, "end": 810.5500000000001, "word": "الشكل", "probability": 0.3945109049479167}, {"start": 810.5500000000001, "end": 811.95, "word": " الطويل", "probability": 0.80712890625}, {"start": 811.95, "end": 812.97, "word": " والكبير", "probability": 0.77435302734375}, {"start": 812.97, "end": 813.29, "word": " تبع", "probability": 0.5670166015625}, {"start": 813.29, "end": 813.49, "word": " من", "probability": 0.096435546875}, {"start": 813.49, "end": 814.17, "word": " ال", "probability": 0.572265625}, {"start": 814.17, "end": 814.49, "word": " series", "probability": 0.46728515625}, {"start": 814.49, "end": 815.47, "word": " الان", "probability": 0.573486328125}, {"start": 815.47, "end": 818.57, "word": " نبحث", "probability": 0.5738932291666666}, {"start": 818.57, "end": 818.97, "word": " عن", "probability": 0.42724609375}, {"start": 818.97, "end": 819.05, "word": " ال", "probability": 0.513671875}, {"start": 819.05, "end": 820.55, "word": " convergence", "probability": 0.955078125}], "temperature": 1.0}, {"id": 34, "seek": 83564, "start": 834.24, "end": 835.64, "text": "طيب", "tokens": [9566, 1829, 3555], "avg_logprob": -0.767578125, "compression_ratio": 0.42857142857142855, "no_speech_prob": 0.0, "words": [{"start": 834.24, "end": 835.64, "word": "طيب", "probability": 0.6440836588541666}], "temperature": 1.0}, {"id": 35, "seek": 85596, "start": 836.64, "end": 855.96, "text": "أنا حتى الآن على ال series ماعنديش معلومات إلا بس شكل الحد النوني في ال series، زي ذلك ماعنديش معلومات، تمام؟ طب عايش الحل؟ آه، كويس، من ال series اللي عندي، إذا جدرت أخلق sequence", "tokens": [10721, 8315, 11331, 49975, 6024, 48506, 15844, 2423, 2638, 19446, 3615, 1863, 16254, 8592, 20449, 1211, 20498, 9307, 11933, 15040, 4724, 3794, 13412, 28820, 21542, 3215, 28239, 11536, 1829, 8978, 2423, 2638, 12399, 30767, 1829, 29910, 23275, 19446, 3615, 1863, 16254, 8592, 20449, 1211, 20498, 9307, 12399, 46811, 10943, 22807, 23032, 3555, 6225, 47302, 8592, 21542, 1211, 22807, 19753, 3224, 12399, 9122, 45865, 3794, 12399, 9154, 2423, 2638, 13672, 1829, 18871, 16254, 12399, 11933, 15730, 10874, 3215, 43500, 5551, 9778, 1211, 4587, 8310], "avg_logprob": -0.18712796944947468, "compression_ratio": 1.694915254237288, "no_speech_prob": 0.0, "words": [{"start": 836.64, "end": 836.98, "word": "أنا", "probability": 0.57635498046875}, {"start": 836.98, "end": 837.36, "word": " حتى", "probability": 0.95361328125}, {"start": 837.36, "end": 837.72, "word": " الآن", "probability": 0.770751953125}, {"start": 837.72, "end": 838.04, "word": " على", "probability": 0.89794921875}, {"start": 838.04, "end": 838.24, "word": " ال", "probability": 0.8447265625}, {"start": 838.24, "end": 838.58, "word": " series", "probability": 0.8720703125}, {"start": 838.58, "end": 839.8, "word": " ماعنديش", "probability": 0.9537109375}, {"start": 839.8, "end": 840.84, "word": " معلومات", "probability": 0.984130859375}, {"start": 840.84, "end": 841.36, "word": " إلا", "probability": 0.903564453125}, {"start": 841.36, "end": 841.8, "word": " بس", "probability": 0.836669921875}, {"start": 841.8, "end": 842.5, "word": " شكل", "probability": 0.954345703125}, {"start": 842.5, "end": 843.12, "word": " الحد", "probability": 0.9853515625}, {"start": 843.12, "end": 843.66, "word": " النوني", "probability": 0.8328450520833334}, {"start": 843.66, "end": 843.8, "word": " في", "probability": 0.78564453125}, {"start": 843.8, "end": 843.86, "word": " ال", "probability": 0.9462890625}, {"start": 843.86, "end": 844.64, "word": " series،", "probability": 0.6361083984375}, {"start": 844.64, "end": 844.9, "word": " زي", "probability": 0.48907470703125}, {"start": 844.9, "end": 845.16, "word": " ذلك", "probability": 0.918701171875}, {"start": 845.16, "end": 845.72, "word": " ماعنديش", "probability": 0.96689453125}, {"start": 845.72, "end": 846.52, "word": " معلومات،", "probability": 0.90234375}, {"start": 846.52, "end": 847.64, "word": " تمام؟", "probability": 0.8917643229166666}, {"start": 847.64, "end": 847.84, "word": " طب", "probability": 0.79296875}, {"start": 847.84, "end": 848.2, "word": " عايش", "probability": 0.7076009114583334}, {"start": 848.2, "end": 848.94, "word": " الحل؟", "probability": 0.9215494791666666}, {"start": 848.94, "end": 849.92, "word": " آه،", "probability": 0.709228515625}, {"start": 849.92, "end": 850.96, "word": " كويس،", "probability": 0.8638916015625}, {"start": 850.96, "end": 851.18, "word": " من", "probability": 0.9931640625}, {"start": 851.18, "end": 851.4, "word": " ال", "probability": 0.9853515625}, {"start": 851.4, "end": 851.74, "word": " series", "probability": 0.9716796875}, {"start": 851.74, "end": 852.1, "word": " اللي", "probability": 0.939453125}, {"start": 852.1, "end": 853.12, "word": " عندي،", "probability": 0.7664388020833334}, {"start": 853.12, "end": 853.42, "word": " إذا", "probability": 0.96875}, {"start": 853.42, "end": 854.0, "word": " جدرت", "probability": 0.9210611979166666}, {"start": 854.0, "end": 854.96, "word": " أخلق", "probability": 0.82958984375}, {"start": 854.96, "end": 855.96, "word": " sequence", "probability": 0.94482421875}], "temperature": 1.0}, {"id": 36, "seek": 88433, "start": 857.21, "end": 884.33, "text": "والـ sequence هذه كانت convert، يبقى الـ series convert وإذا الـ sequence ضيفر، يبقى الـ series هذه معلها ضيفر السؤال كيف بدك تكوّن الـ sequence اللي عندك هذا؟ بقولك بسيطة جدا، شوف يا سيدي، بدأتي للحد الأول في الـ sequence، بدأسميه S1 مين هو الـ S1؟ بدأقول هو الحد الأول في الـ series", "tokens": [2407, 6027, 39184, 8310, 29538, 25961, 2655, 7620, 12399, 7251, 3555, 4587, 7578, 2423, 39184, 2638, 7620, 4032, 28814, 15730, 2423, 39184, 8310, 48812, 33911, 2288, 12399, 7251, 3555, 4587, 7578, 2423, 39184, 2638, 29538, 20449, 1211, 11296, 48812, 33911, 2288, 21136, 33604, 6027, 9122, 33911, 47525, 4117, 6055, 4117, 2407, 11703, 1863, 2423, 39184, 8310, 13672, 1829, 43242, 4117, 23758, 22807, 4724, 39648, 4117, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 12399, 13412, 38688, 35186, 8608, 1829, 16254, 12399, 47525, 10721, 31371, 24976, 24401, 16247, 12610, 8978, 2423, 39184, 8310, 12399, 47525, 10721, 38251, 1829, 3224, 318, 16, 3714, 9957, 31439, 2423, 39184, 318, 16, 22807, 47525, 10721, 39648, 31439, 21542, 3215, 16247, 12610, 8978, 2423, 39184, 2638], "avg_logprob": -0.2773437611758709, "compression_ratio": 1.9478260869565218, "no_speech_prob": 0.0, "words": [{"start": 857.21, "end": 857.79, "word": "والـ", "probability": 0.503662109375}, {"start": 857.79, "end": 858.17, "word": " sequence", "probability": 0.409912109375}, {"start": 858.17, "end": 858.61, "word": " هذه", "probability": 0.37255859375}, {"start": 858.61, "end": 859.27, "word": " كانت", "probability": 0.97265625}, {"start": 859.27, "end": 860.21, "word": " convert،", "probability": 0.458740234375}, {"start": 860.21, "end": 860.53, "word": " يبقى", "probability": 0.921142578125}, {"start": 860.53, "end": 860.73, "word": " الـ", "probability": 0.728271484375}, {"start": 860.73, "end": 860.99, "word": " series", "probability": 0.755859375}, {"start": 860.99, "end": 861.97, "word": " convert", "probability": 0.6640625}, {"start": 861.97, "end": 862.89, "word": " وإذا", "probability": 0.6404622395833334}, {"start": 862.89, "end": 863.11, "word": " الـ", "probability": 0.77490234375}, {"start": 863.11, "end": 863.55, "word": " sequence", "probability": 0.9521484375}, {"start": 863.55, "end": 864.41, "word": " ضيفر،", "probability": 0.5483779907226562}, {"start": 864.41, "end": 864.77, "word": " يبقى", "probability": 0.973876953125}, {"start": 864.77, "end": 864.91, "word": " الـ", "probability": 0.8955078125}, {"start": 864.91, "end": 865.09, "word": " series", "probability": 0.9072265625}, {"start": 865.09, "end": 865.37, "word": " هذه", "probability": 0.35302734375}, {"start": 865.37, "end": 865.91, "word": " معلها", "probability": 0.724365234375}, {"start": 865.91, "end": 866.87, "word": " ضيفر", "probability": 0.97021484375}, {"start": 866.87, "end": 867.53, "word": " السؤال", "probability": 0.9586588541666666}, {"start": 867.53, "end": 868.29, "word": " كيف", "probability": 0.80322265625}, {"start": 868.29, "end": 868.59, "word": " بدك", "probability": 0.9072265625}, {"start": 868.59, "end": 869.17, "word": " تكوّن", "probability": 0.794677734375}, {"start": 869.17, "end": 869.43, "word": " الـ", "probability": 0.729248046875}, {"start": 869.43, "end": 869.87, "word": " sequence", "probability": 0.95947265625}, {"start": 869.87, "end": 870.19, "word": " اللي", "probability": 0.92822265625}, {"start": 870.19, "end": 870.63, "word": " عندك", "probability": 0.98486328125}, {"start": 870.63, "end": 871.03, "word": " هذا؟", "probability": 0.3916015625}, {"start": 871.03, "end": 871.41, "word": " بقولك", "probability": 0.8351236979166666}, {"start": 871.41, "end": 871.91, "word": " بسيطة", "probability": 0.9763671875}, {"start": 871.91, "end": 872.87, "word": " جدا،", "probability": 0.783447265625}, {"start": 872.87, "end": 873.15, "word": " شوف", "probability": 0.949462890625}, {"start": 873.15, "end": 873.33, "word": " يا", "probability": 0.86376953125}, {"start": 873.33, "end": 874.15, "word": " سيدي،", "probability": 0.821533203125}, {"start": 874.15, "end": 874.67, "word": " بدأتي", "probability": 0.3125}, {"start": 874.67, "end": 875.31, "word": " للحد", "probability": 0.79248046875}, {"start": 875.31, "end": 876.07, "word": " الأول", "probability": 0.987548828125}, {"start": 876.07, "end": 876.25, "word": " في", "probability": 0.98583984375}, {"start": 876.25, "end": 876.47, "word": " الـ", "probability": 0.886474609375}, {"start": 876.47, "end": 877.15, "word": " sequence،", "probability": 0.836669921875}, {"start": 877.15, "end": 878.07, "word": " بدأسميه", "probability": 0.779296875}, {"start": 878.07, "end": 878.89, "word": " S1", "probability": 0.905029296875}, {"start": 878.89, "end": 879.97, "word": " مين", "probability": 0.7384033203125}, {"start": 879.97, "end": 880.13, "word": " هو", "probability": 0.98486328125}, {"start": 880.13, "end": 880.35, "word": " الـ", "probability": 0.953125}, {"start": 880.35, "end": 880.99, "word": " S1؟", "probability": 0.7989908854166666}, {"start": 880.99, "end": 881.39, "word": " بدأقول", "probability": 0.8527018229166666}, {"start": 881.39, "end": 881.65, "word": " هو", "probability": 0.92724609375}, {"start": 881.65, "end": 882.45, "word": " الحد", "probability": 0.986572265625}, {"start": 882.45, "end": 883.41, "word": " الأول", "probability": 0.9892578125}, {"start": 883.41, "end": 883.65, "word": " في", "probability": 0.99365234375}, {"start": 883.65, "end": 883.89, "word": " الـ", "probability": 0.9306640625}, {"start": 883.89, "end": 884.33, "word": " series", "probability": 0.85498046875}], "temperature": 1.0}, {"id": 37, "seek": 90669, "start": 885.55, "end": 906.69, "text": "الان بالداجل الحد التاني في ال sequence S2 هو عبارة عن a1 plus a2 مجموعة دين من حدود ال series بالداجل ال S3 هو عبارة عن a1 زائد a2 زائد a3", "tokens": [6027, 7649, 20666, 3215, 26108, 1211, 21542, 3215, 16712, 7649, 1829, 8978, 2423, 8310, 318, 17, 31439, 6225, 3555, 9640, 3660, 18871, 257, 16, 1804, 257, 17, 3714, 7435, 2304, 2407, 27884, 11778, 9957, 9154, 11331, 3215, 23328, 2423, 2638, 20666, 3215, 26108, 1211, 2423, 318, 18, 31439, 6225, 3555, 9640, 3660, 18871, 257, 16, 30767, 16373, 3215, 257, 17, 30767, 16373, 3215, 257, 18], "avg_logprob": -0.13932291982751904, "compression_ratio": 1.565217391304348, "no_speech_prob": 0.0, "words": [{"start": 885.55, "end": 886.21, "word": "الان", "probability": 0.701171875}, {"start": 886.21, "end": 886.89, "word": " بالداجل", "probability": 0.598663330078125}, {"start": 886.89, "end": 887.63, "word": " الحد", "probability": 0.7861328125}, {"start": 887.63, "end": 888.37, "word": " التاني", "probability": 0.92333984375}, {"start": 888.37, "end": 888.59, "word": " في", "probability": 0.828125}, {"start": 888.59, "end": 888.79, "word": " ال", "probability": 0.86474609375}, {"start": 888.79, "end": 889.37, "word": " sequence", "probability": 0.716796875}, {"start": 889.37, "end": 890.37, "word": " S2", "probability": 0.822265625}, {"start": 890.37, "end": 891.07, "word": " هو", "probability": 0.91845703125}, {"start": 891.07, "end": 891.63, "word": " عبارة", "probability": 0.9896240234375}, {"start": 891.63, "end": 891.95, "word": " عن", "probability": 0.974609375}, {"start": 891.95, "end": 892.69, "word": " a1", "probability": 0.660888671875}, {"start": 892.69, "end": 893.47, "word": " plus", "probability": 0.40576171875}, {"start": 893.47, "end": 894.43, "word": " a2", "probability": 0.99267578125}, {"start": 894.43, "end": 895.91, "word": " مجموعة", "probability": 0.93857421875}, {"start": 895.91, "end": 896.53, "word": " دين", "probability": 0.722412109375}, {"start": 896.53, "end": 896.79, "word": " من", "probability": 0.986328125}, {"start": 896.79, "end": 897.29, "word": " حدود", "probability": 0.9767252604166666}, {"start": 897.29, "end": 897.49, "word": " ال", "probability": 0.86669921875}, {"start": 897.49, "end": 897.89, "word": " series", "probability": 0.72119140625}, {"start": 897.89, "end": 899.35, "word": " بالداجل", "probability": 0.9468994140625}, {"start": 899.35, "end": 899.63, "word": " ال", "probability": 0.91796875}, {"start": 899.63, "end": 900.83, "word": " S3", "probability": 0.953125}, {"start": 900.83, "end": 901.47, "word": " هو", "probability": 0.9013671875}, {"start": 901.47, "end": 901.97, "word": " عبارة", "probability": 0.997802734375}, {"start": 901.97, "end": 902.23, "word": " عن", "probability": 0.97119140625}, {"start": 902.23, "end": 903.23, "word": " a1", "probability": 0.987060546875}, {"start": 903.23, "end": 903.95, "word": " زائد", "probability": 0.8273111979166666}, {"start": 903.95, "end": 905.05, "word": " a2", "probability": 0.997314453125}, {"start": 905.05, "end": 905.99, "word": " زائد", "probability": 0.9739583333333334}, {"start": 905.99, "end": 906.69, "word": " a3", "probability": 0.998046875}], "temperature": 1.0}, {"id": 38, "seek": 93704, "start": 907.3, "end": 937.04, "text": "ونبقى مستمرين على هالشغل هذه لغاية ما نوصل لمين لغاية ما نوصل ل S N يبقى هذا ال S N مضاج يقول هنا ضالنا الزائد هذا ال S تيدي لحد تلاتة فقط ما غير فاصلة نبقى ماشيين لغاية ما نوصل ل S N S N هو عبارة عن A1 plus A2", "tokens": [2407, 1863, 3555, 4587, 7578, 3714, 14851, 29973, 9957, 15844, 8032, 6027, 8592, 17082, 1211, 29538, 5296, 17082, 995, 10632, 19446, 8717, 2407, 36520, 32767, 9957, 5296, 17082, 995, 10632, 19446, 8717, 2407, 36520, 5296, 318, 426, 7251, 3555, 4587, 7578, 23758, 2423, 318, 426, 3714, 11242, 26108, 7251, 39648, 34105, 48812, 6027, 8315, 6024, 110, 16373, 3215, 23758, 2423, 318, 6055, 1829, 16254, 5296, 24401, 6055, 1211, 9307, 3660, 6156, 47432, 19446, 32771, 13546, 6156, 33546, 37977, 8717, 3555, 4587, 7578, 3714, 33599, 1829, 9957, 5296, 17082, 995, 10632, 19446, 8717, 2407, 36520, 5296, 318, 426, 318, 426, 31439, 6225, 3555, 9640, 3660, 18871, 316, 16, 1804, 316, 17], "avg_logprob": -0.22550676320050214, "compression_ratio": 1.8385416666666667, "no_speech_prob": 0.0, "words": [{"start": 907.3, "end": 907.94, "word": "ونبقى", "probability": 0.676171875}, {"start": 907.94, "end": 909.14, "word": " مستمرين", "probability": 0.8878173828125}, {"start": 909.14, "end": 909.44, "word": " على", "probability": 0.89208984375}, {"start": 909.44, "end": 910.16, "word": " هالشغل", "probability": 0.734765625}, {"start": 910.16, "end": 910.6, "word": " هذه", "probability": 0.429443359375}, {"start": 910.6, "end": 911.18, "word": " لغاية", "probability": 0.9710693359375}, {"start": 911.18, "end": 911.36, "word": " ما", "probability": 0.9658203125}, {"start": 911.36, "end": 911.88, "word": " نوصل", "probability": 0.98291015625}, {"start": 911.88, "end": 912.48, "word": " لمين", "probability": 0.6744384765625}, {"start": 912.48, "end": 913.54, "word": " لغاية", "probability": 0.9188232421875}, {"start": 913.54, "end": 913.78, "word": " ما", "probability": 0.97705078125}, {"start": 913.78, "end": 914.4, "word": " نوصل", "probability": 0.98974609375}, {"start": 914.4, "end": 914.74, "word": " ل", "probability": 0.96533203125}, {"start": 914.74, "end": 915.2, "word": " S", "probability": 0.186767578125}, {"start": 915.2, "end": 915.84, "word": " N", "probability": 0.74267578125}, {"start": 915.84, "end": 917.02, "word": " يبقى", "probability": 0.947509765625}, {"start": 917.02, "end": 917.44, "word": " هذا", "probability": 0.931640625}, {"start": 917.44, "end": 917.76, "word": " ال", "probability": 0.935546875}, {"start": 917.76, "end": 918.04, "word": " S", "probability": 0.751953125}, {"start": 918.04, "end": 918.64, "word": " N", "probability": 0.96435546875}, {"start": 918.64, "end": 919.6, "word": " مضاج", "probability": 0.441650390625}, {"start": 919.6, "end": 920.36, "word": " يقول", "probability": 0.70458984375}, {"start": 920.36, "end": 920.84, "word": " هنا", "probability": 0.92236328125}, {"start": 920.84, "end": 921.66, "word": " ضالنا", "probability": 0.8155924479166666}, {"start": 921.66, "end": 923.08, "word": " الزائد", "probability": 0.85174560546875}, {"start": 923.08, "end": 924.42, "word": " هذا", "probability": 0.79052734375}, {"start": 924.42, "end": 924.64, "word": " ال", "probability": 0.8310546875}, {"start": 924.64, "end": 924.82, "word": " S", "probability": 0.9453125}, {"start": 924.82, "end": 925.14, "word": " تيدي", "probability": 0.5643717447916666}, {"start": 925.14, "end": 925.54, "word": " لحد", "probability": 0.8828125}, {"start": 925.54, "end": 926.26, "word": " تلاتة", "probability": 0.779296875}, {"start": 926.26, "end": 926.78, "word": " فقط", "probability": 0.985595703125}, {"start": 926.78, "end": 927.08, "word": " ما", "probability": 0.27490234375}, {"start": 927.08, "end": 927.34, "word": " غير", "probability": 0.924560546875}, {"start": 927.34, "end": 928.62, "word": " فاصلة", "probability": 0.951171875}, {"start": 928.62, "end": 929.36, "word": " نبقى", "probability": 0.787200927734375}, {"start": 929.36, "end": 929.96, "word": " ماشيين", "probability": 0.8330078125}, {"start": 929.96, "end": 930.26, "word": " لغاية", "probability": 0.9959716796875}, {"start": 930.26, "end": 930.48, "word": " ما", "probability": 0.96484375}, {"start": 930.48, "end": 930.98, "word": " نوصل", "probability": 0.98828125}, {"start": 930.98, "end": 931.28, "word": " ل", "probability": 0.97509765625}, {"start": 931.28, "end": 931.74, "word": " S", "probability": 0.9501953125}, {"start": 931.74, "end": 932.26, "word": " N", "probability": 0.87451171875}, {"start": 932.26, "end": 933.28, "word": " S", "probability": 0.90576171875}, {"start": 933.28, "end": 933.66, "word": " N", "probability": 0.96533203125}, {"start": 933.66, "end": 933.96, "word": " هو", "probability": 0.96923828125}, {"start": 933.96, "end": 934.48, "word": " عبارة", "probability": 0.9805908203125}, {"start": 934.48, "end": 934.74, "word": " عن", "probability": 0.98828125}, {"start": 934.74, "end": 935.78, "word": " A1", "probability": 0.79052734375}, {"start": 935.78, "end": 936.28, "word": " plus", "probability": 0.454833984375}, {"start": 936.28, "end": 937.04, "word": " A2", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 39, "seek": 94631, "start": 937.57, "end": 946.31, "text": "plus a2 plus a3 plus a2 plus a2 plus a3 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a2 plus a", "tokens": [18954, 257, 17, 1804, 257, 18, 1804, 257, 17, 1804, 257, 17, 1804, 257, 18, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257, 17, 1804, 257], "avg_logprob": -0.08930555237664117, "compression_ratio": 19.29032258064516, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 937.57, "end": 937.97, "word": "plus", "probability": 0.034088134765625}, {"start": 937.97, "end": 937.97, "word": " a2", "probability": 0.359375}, {"start": 937.97, "end": 937.97, "word": " plus", "probability": 0.931640625}, {"start": 937.97, "end": 938.79, "word": " a3", "probability": 0.969482421875}, {"start": 938.79, "end": 939.61, "word": " plus", "probability": 0.9521484375}, {"start": 939.61, "end": 941.21, "word": " a2", "probability": 0.384033203125}, {"start": 941.21, "end": 941.23, "word": " plus", "probability": 0.89697265625}, {"start": 941.23, "end": 941.23, "word": " a2", "probability": 0.5726318359375}, {"start": 941.23, "end": 941.23, "word": " plus", "probability": 0.88720703125}, {"start": 941.23, "end": 941.23, "word": " a3", "probability": 0.76123046875}, {"start": 941.23, "end": 941.29, "word": " plus", "probability": 0.8837890625}, {"start": 941.29, "end": 941.29, "word": " a2", "probability": 0.740966796875}, {"start": 941.29, "end": 941.29, "word": " plus", "probability": 0.8486328125}, {"start": 941.29, "end": 941.29, "word": " a2", "probability": 0.747314453125}, {"start": 941.29, "end": 942.33, "word": " plus", "probability": 0.83642578125}, {"start": 942.33, "end": 942.33, "word": " a2", "probability": 0.763671875}, {"start": 942.33, "end": 942.33, "word": " plus", "probability": 0.8544921875}, {"start": 942.33, "end": 942.33, "word": " a2", "probability": 0.797607421875}, {"start": 942.33, "end": 942.33, "word": " plus", "probability": 0.876953125}, {"start": 942.33, "end": 942.61, "word": " a2", "probability": 0.832275390625}, {"start": 942.61, "end": 942.61, "word": " plus", "probability": 0.8935546875}, {"start": 942.61, "end": 942.85, "word": " a2", "probability": 0.861572265625}, {"start": 942.85, "end": 942.85, "word": " plus", "probability": 0.9091796875}, {"start": 942.85, "end": 942.93, "word": " a2", "probability": 0.883056640625}, {"start": 942.93, "end": 943.77, "word": " plus", "probability": 0.9208984375}, {"start": 943.77, "end": 943.77, "word": " a2", "probability": 0.896484375}, {"start": 943.77, "end": 943.77, "word": " plus", "probability": 0.92822265625}, {"start": 943.77, "end": 943.77, "word": " a2", "probability": 0.911865234375}, {"start": 943.77, "end": 943.77, "word": " plus", "probability": 0.9345703125}, {"start": 943.77, "end": 943.77, "word": " a2", "probability": 0.92529296875}, {"start": 943.77, "end": 945.01, "word": " plus", "probability": 0.93798828125}, {"start": 945.01, "end": 945.19, "word": " a2", "probability": 0.942626953125}, {"start": 945.19, "end": 945.19, "word": " plus", "probability": 0.94140625}, {"start": 945.19, "end": 945.19, "word": " a2", "probability": 0.954833984375}, {"start": 945.19, "end": 945.19, "word": " plus", "probability": 0.943359375}, {"start": 945.19, "end": 945.19, "word": " a2", "probability": 0.967529296875}, {"start": 945.19, "end": 945.19, "word": " plus", "probability": 0.9453125}, {"start": 945.19, "end": 945.19, "word": " a2", "probability": 0.975830078125}, {"start": 945.19, "end": 945.19, "word": " plus", "probability": 0.947265625}, {"start": 945.19, "end": 945.33, "word": " a2", "probability": 0.981201171875}, {"start": 945.33, "end": 945.53, "word": " plus", "probability": 0.9482421875}, {"start": 945.53, "end": 945.61, "word": " a2", "probability": 0.984375}, {"start": 945.61, "end": 945.61, "word": " plus", "probability": 0.94970703125}, {"start": 945.61, "end": 945.61, "word": " a2", "probability": 0.98681640625}, {"start": 945.61, "end": 945.61, "word": " plus", "probability": 0.95068359375}, {"start": 945.61, "end": 945.61, "word": " a2", "probability": 0.989013671875}, {"start": 945.61, "end": 945.61, "word": " plus", "probability": 0.951171875}, {"start": 945.61, "end": 945.71, "word": " a2", "probability": 0.98974609375}, {"start": 945.71, "end": 945.93, "word": " plus", "probability": 0.9521484375}, {"start": 945.93, "end": 945.93, "word": " a2", "probability": 0.99072265625}, {"start": 945.93, "end": 945.93, "word": " plus", "probability": 0.95263671875}, {"start": 945.93, "end": 945.93, "word": " a2", "probability": 0.991455078125}, {"start": 945.93, "end": 945.93, "word": " plus", "probability": 0.95361328125}, {"start": 945.93, "end": 945.93, "word": " a2", "probability": 0.99169921875}, {"start": 945.93, "end": 945.93, "word": " plus", "probability": 0.95361328125}, {"start": 945.93, "end": 945.93, "word": " a2", "probability": 0.991943359375}, {"start": 945.93, "end": 945.93, "word": " plus", "probability": 0.95361328125}, {"start": 945.93, "end": 945.93, "word": " a2", "probability": 0.991943359375}, {"start": 945.93, "end": 945.93, "word": " plus", "probability": 0.95361328125}, {"start": 945.93, "end": 945.93, "word": " a2", "probability": 0.9921875}, {"start": 945.93, "end": 945.93, "word": " plus", "probability": 0.9541015625}, {"start": 945.93, "end": 945.93, "word": " a2", "probability": 0.992431640625}, {"start": 945.93, "end": 945.95, "word": " plus", "probability": 0.955078125}, {"start": 945.95, "end": 945.95, "word": " a2", "probability": 0.992431640625}, {"start": 945.95, "end": 945.95, "word": " plus", "probability": 0.955078125}, {"start": 945.95, "end": 945.95, "word": " a2", "probability": 0.992919921875}, {"start": 945.95, "end": 945.99, "word": " plus", "probability": 0.95556640625}, {"start": 945.99, "end": 945.99, "word": " a2", "probability": 0.992919921875}, {"start": 945.99, "end": 945.99, "word": " plus", "probability": 0.9560546875}, {"start": 945.99, "end": 945.99, "word": " a2", "probability": 0.992919921875}, {"start": 945.99, "end": 946.07, "word": " plus", "probability": 0.95654296875}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9931640625}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.95703125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9931640625}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.95751953125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9931640625}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.95849609375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9931640625}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.958984375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9931640625}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.95947265625}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.992919921875}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96044921875}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.992919921875}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96044921875}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.992919921875}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.9609375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.99267578125}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.9619140625}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.99267578125}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.9619140625}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.992431640625}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96240234375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9921875}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.962890625}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.991943359375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96337890625}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.991943359375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.9638671875}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.99169921875}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96435546875}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9912109375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96484375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9912109375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96484375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.990966796875}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96484375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.99072265625}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96533203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.990234375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.9658203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.990234375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.9658203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.989990234375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96533203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.98974609375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96533203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9892578125}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.9658203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.98876953125}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.9658203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.98876953125}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96533203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.98828125}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.9658203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.98779296875}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96533203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.987548828125}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96533203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9873046875}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.9658203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.98681640625}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96533203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.986328125}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96533203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.98583984375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96533203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.985595703125}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96484375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.9853515625}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96484375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.98486328125}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96533203125}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.984375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96484375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.984130859375}, {"start": 946.07, "end": 946.07, "word": " plus", "probability": 0.96630859375}, {"start": 946.07, "end": 946.07, "word": " a2", "probability": 0.985107421875}, {"start": 946.07, "end": 946.29, "word": " plus", "probability": 0.9638671875}, {"start": 946.29, "end": 946.31, "word": " a", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 40, "seek": 96765, "start": 946.33, "end": 967.65, "text": "عندما تكون عندنا سيكوانس جديدة نكتب هذه السيكوانس و نعرف اسم هذه السيكوانس طلعني لحدود السيكوانس S1 و S2 و S3 كونهم عن طريق جامعة جزء E لحدود السيريز", "tokens": [3615, 41260, 15042, 6055, 30544, 43242, 8315, 8608, 1829, 4117, 2407, 7649, 3794, 10874, 16254, 41891, 8717, 4117, 2655, 3555, 29538, 21136, 1829, 4117, 2407, 7649, 3794, 4032, 8717, 3615, 28480, 24525, 2304, 29538, 21136, 1829, 4117, 2407, 7649, 3794, 23032, 1211, 3615, 22653, 5296, 24401, 23328, 21136, 1829, 4117, 2407, 7649, 3794, 318, 16, 4032, 318, 17, 4032, 318, 18, 9122, 11536, 16095, 18871, 23032, 16572, 4587, 10874, 10943, 27884, 10874, 11622, 38207, 462, 5296, 24401, 23328, 21136, 13546, 1829, 11622], "avg_logprob": -0.30685239671224573, "compression_ratio": 1.8263888888888888, "no_speech_prob": 0.0, "words": [{"start": 946.33, "end": 946.75, "word": "عندما", "probability": 0.60040283203125}, {"start": 946.75, "end": 947.39, "word": " تكون", "probability": 0.848876953125}, {"start": 947.39, "end": 948.19, "word": " عندنا", "probability": 0.72119140625}, {"start": 948.19, "end": 949.17, "word": " سيكوانس", "probability": 0.7287190755208334}, {"start": 949.17, "end": 950.07, "word": " جديدة", "probability": 0.95703125}, {"start": 950.07, "end": 952.07, "word": " نكتب", "probability": 0.672515869140625}, {"start": 952.07, "end": 952.55, "word": " هذه", "probability": 0.5078125}, {"start": 952.55, "end": 953.53, "word": " السيكوانس", "probability": 0.894775390625}, {"start": 953.53, "end": 953.99, "word": " و", "probability": 0.79248046875}, {"start": 953.99, "end": 954.51, "word": " نعرف", "probability": 0.8347981770833334}, {"start": 954.51, "end": 955.45, "word": " اسم", "probability": 0.837158203125}, {"start": 955.45, "end": 955.97, "word": " هذه", "probability": 0.326904296875}, {"start": 955.97, "end": 956.21, "word": " السيكوانس", "probability": 0.9092610677083334}, {"start": 956.21, "end": 957.39, "word": " طلعني", "probability": 0.459136962890625}, {"start": 957.39, "end": 958.03, "word": " لحدود", "probability": 0.87060546875}, {"start": 958.03, "end": 958.79, "word": " السيكوانس", "probability": 0.9095052083333334}, {"start": 958.79, "end": 959.79, "word": " S1", "probability": 0.694580078125}, {"start": 959.79, "end": 960.05, "word": " و", "probability": 0.344482421875}, {"start": 960.05, "end": 960.73, "word": " S2", "probability": 0.83251953125}, {"start": 960.73, "end": 960.93, "word": " و", "probability": 0.9892578125}, {"start": 960.93, "end": 961.71, "word": " S3", "probability": 0.914306640625}, {"start": 961.71, "end": 963.11, "word": " كونهم", "probability": 0.6764322916666666}, {"start": 963.11, "end": 963.45, "word": " عن", "probability": 0.841796875}, {"start": 963.45, "end": 964.03, "word": " طريق", "probability": 0.9895833333333334}, {"start": 964.03, "end": 964.85, "word": " جامعة", "probability": 0.8155924479166666}, {"start": 964.85, "end": 965.65, "word": " جزء", "probability": 0.9270833333333334}, {"start": 965.65, "end": 965.93, "word": " E", "probability": 0.857421875}, {"start": 965.93, "end": 966.87, "word": " لحدود", "probability": 0.9576822916666666}, {"start": 966.87, "end": 967.65, "word": " السيريز", "probability": 0.71148681640625}], "temperature": 1.0}, {"id": 41, "seek": 99638, "start": 967.98, "end": 996.38, "text": "أذا بدّي أروح أسميها متتابعة المجاميع الجزئية The sequence of partial sums يبقى باجي بقوله هنا The sequence of partial sums الجمع الجزي، المجاميع الجزئية The sequence of partial sums is", "tokens": [10721, 15730, 47525, 11703, 1829, 5551, 32887, 5016, 5551, 38251, 1829, 11296, 44650, 2655, 16758, 27884, 9673, 7435, 10943, 40228, 25724, 11622, 19986, 10632, 440, 8310, 295, 14641, 34499, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 440, 8310, 295, 14641, 34499, 25724, 2304, 3615, 25724, 11622, 1829, 12399, 9673, 7435, 10943, 40228, 25724, 11622, 19986, 10632, 440, 8310, 295, 14641, 34499, 307], "avg_logprob": -0.17140858742728163, "compression_ratio": 1.7852348993288591, "no_speech_prob": 0.0, "words": [{"start": 967.98, "end": 968.62, "word": "أذا", "probability": 0.5301513671875}, {"start": 968.62, "end": 969.4, "word": " بدّي", "probability": 0.5311279296875}, {"start": 969.4, "end": 969.6, "word": " أروح", "probability": 0.8722330729166666}, {"start": 969.6, "end": 970.42, "word": " أسميها", "probability": 0.9403076171875}, {"start": 970.42, "end": 972.14, "word": " متتابعة", "probability": 0.953369140625}, {"start": 972.14, "end": 973.28, "word": " المجاميع", "probability": 0.9647216796875}, {"start": 973.28, "end": 974.2, "word": " الجزئية", "probability": 0.9488525390625}, {"start": 974.2, "end": 974.9, "word": " The", "probability": 0.1995849609375}, {"start": 974.9, "end": 975.66, "word": " sequence", "probability": 0.626953125}, {"start": 975.66, "end": 976.34, "word": " of", "probability": 0.97802734375}, {"start": 976.34, "end": 977.16, "word": " partial", "probability": 0.95654296875}, {"start": 977.16, "end": 977.98, "word": " sums", "probability": 0.9326171875}, {"start": 977.98, "end": 979.0, "word": " يبقى", "probability": 0.9613037109375}, {"start": 979.0, "end": 979.4, "word": " باجي", "probability": 0.84375}, {"start": 979.4, "end": 980.0, "word": " بقوله", "probability": 0.8440755208333334}, {"start": 980.0, "end": 980.48, "word": " هنا", "probability": 0.98876953125}, {"start": 980.48, "end": 981.28, "word": " The", "probability": 0.619140625}, {"start": 981.28, "end": 983.02, "word": " sequence", "probability": 0.98046875}, {"start": 983.02, "end": 984.14, "word": " of", "probability": 0.9814453125}, {"start": 984.14, "end": 985.76, "word": " partial", "probability": 0.9599609375}, {"start": 985.76, "end": 987.84, "word": " sums", "probability": 0.9140625}, {"start": 987.84, "end": 989.9, "word": " الجمع", "probability": 0.9059244791666666}, {"start": 989.9, "end": 990.68, "word": " الجزي،", "probability": 0.72149658203125}, {"start": 990.68, "end": 991.96, "word": " المجاميع", "probability": 0.9737548828125}, {"start": 991.96, "end": 993.38, "word": " الجزئية", "probability": 0.99365234375}, {"start": 993.38, "end": 993.98, "word": " The", "probability": 0.7939453125}, {"start": 993.98, "end": 994.54, "word": " sequence", "probability": 0.96142578125}, {"start": 994.54, "end": 994.84, "word": " of", "probability": 0.97607421875}, {"start": 994.84, "end": 995.22, "word": " partial", "probability": 0.95751953125}, {"start": 995.22, "end": 995.98, "word": " sums", "probability": 0.9345703125}, {"start": 995.98, "end": 996.38, "word": " is", "probability": 0.9716796875}], "temperature": 1.0}, {"id": 42, "seek": 101752, "start": 997.38, "end": 1017.52, "text": "بدي أسميها الـ Sn بدلالة الحد النوني فيها بالشكل هذا لو بدي أكتبها بالشكل المطول يبقى S1 فاصلة S2 فاصلة S3 فاصلة Sn فاصلة إلى ما شاء الله", "tokens": [3555, 16254, 5551, 38251, 1829, 11296, 2423, 39184, 9264, 47525, 1211, 6027, 3660, 21542, 3215, 28239, 11536, 1829, 8978, 11296, 20666, 8592, 28820, 23758, 45164, 4724, 16254, 5551, 4117, 2655, 3555, 11296, 20666, 8592, 28820, 9673, 9566, 12610, 7251, 3555, 4587, 7578, 318, 16, 6156, 33546, 37977, 318, 17, 6156, 33546, 37977, 318, 18, 6156, 33546, 37977, 9264, 6156, 33546, 37977, 30731, 19446, 13412, 16606, 21984], "avg_logprob": -0.15485074537903515, "compression_ratio": 1.7050359712230216, "no_speech_prob": 0.0, "words": [{"start": 997.38, "end": 997.9, "word": "بدي", "probability": 0.35888671875}, {"start": 997.9, "end": 998.62, "word": " أسميها", "probability": 0.8868408203125}, {"start": 998.62, "end": 998.98, "word": " الـ", "probability": 0.770263671875}, {"start": 998.98, "end": 999.92, "word": " Sn", "probability": 0.211181640625}, {"start": 999.92, "end": 1001.62, "word": " بدلالة", "probability": 0.8729248046875}, {"start": 1001.62, "end": 1002.22, "word": " الحد", "probability": 0.9775390625}, {"start": 1002.22, "end": 1003.0, "word": " النوني", "probability": 0.9280598958333334}, {"start": 1003.0, "end": 1003.44, "word": " فيها", "probability": 0.962890625}, {"start": 1003.44, "end": 1004.08, "word": " بالشكل", "probability": 0.9558919270833334}, {"start": 1004.08, "end": 1004.38, "word": " هذا", "probability": 0.88671875}, {"start": 1004.38, "end": 1005.38, "word": " لو", "probability": 0.58837890625}, {"start": 1005.38, "end": 1005.64, "word": " بدي", "probability": 0.83544921875}, {"start": 1005.64, "end": 1006.28, "word": " أكتبها", "probability": 0.9544921875}, {"start": 1006.28, "end": 1006.96, "word": " بالشكل", "probability": 0.98193359375}, {"start": 1006.96, "end": 1007.82, "word": " المطول", "probability": 0.9723307291666666}, {"start": 1007.82, "end": 1008.42, "word": " يبقى", "probability": 0.918212890625}, {"start": 1008.42, "end": 1009.22, "word": " S1", "probability": 0.837158203125}, {"start": 1009.22, "end": 1010.1, "word": " فاصلة", "probability": 0.685546875}, {"start": 1010.1, "end": 1011.22, "word": " S2", "probability": 0.97119140625}, {"start": 1011.22, "end": 1012.28, "word": " فاصلة", "probability": 0.9739583333333334}, {"start": 1012.28, "end": 1013.14, "word": " S3", "probability": 0.9951171875}, {"start": 1013.14, "end": 1014.26, "word": " فاصلة", "probability": 0.9773763020833334}, {"start": 1014.26, "end": 1015.5, "word": " Sn", "probability": 0.6953125}, {"start": 1015.5, "end": 1016.26, "word": " فاصلة", "probability": 0.9793294270833334}, {"start": 1016.26, "end": 1016.58, "word": " إلى", "probability": 0.69775390625}, {"start": 1016.58, "end": 1016.84, "word": " ما", "probability": 0.96923828125}, {"start": 1016.84, "end": 1017.22, "word": " شاء", "probability": 0.98974609375}, {"start": 1017.22, "end": 1017.52, "word": " الله", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 43, "seek": 104958, "start": 1020.09, "end": 1049.59, "text": "يبقى هذا صار شكل ال sequence الجديدة نقول اه إذا والله ال sequence هذه convert يبقى ال series convert وإذا ال sequence هذه diverge إذا ال series هذه مالها diverge ونعرف نحكم على ال sequence اللي هي converge أو diverge من خلال ال section الماضي اللي هو section عشرة واحد فبعدين بحقق القاعدة عندي كالتالي if", "tokens": [1829, 3555, 4587, 7578, 23758, 20328, 9640, 13412, 28820, 2423, 8310, 25724, 16254, 41891, 8717, 39648, 1975, 3224, 11933, 15730, 16070, 43761, 2423, 8310, 29538, 7620, 7251, 3555, 4587, 7578, 2423, 2638, 7620, 4032, 28814, 15730, 2423, 8310, 29538, 18558, 432, 11933, 15730, 2423, 2638, 29538, 19446, 1211, 11296, 18558, 432, 4032, 1863, 3615, 28480, 8717, 5016, 24793, 15844, 2423, 8310, 13672, 1829, 39896, 41881, 34051, 18558, 432, 9154, 16490, 1211, 6027, 2423, 3541, 9673, 46958, 1829, 13672, 1829, 31439, 3541, 6225, 8592, 25720, 36764, 24401, 6156, 3555, 22488, 9957, 4724, 5016, 4587, 4587, 25062, 995, 22488, 3660, 18871, 16254, 9122, 6027, 2655, 6027, 1829, 498], "avg_logprob": -0.27044393526059446, "compression_ratio": 1.9399141630901287, "no_speech_prob": 0.0, "words": [{"start": 1020.09, "end": 1020.49, "word": "يبقى", "probability": 0.60552978515625}, {"start": 1020.49, "end": 1020.81, "word": " هذا", "probability": 0.7666015625}, {"start": 1020.81, "end": 1021.45, "word": " صار", "probability": 0.915283203125}, {"start": 1021.45, "end": 1022.19, "word": " شكل", "probability": 0.962158203125}, {"start": 1022.19, "end": 1022.47, "word": " ال", "probability": 0.80859375}, {"start": 1022.47, "end": 1022.93, "word": " sequence", "probability": 0.2734375}, {"start": 1022.93, "end": 1024.05, "word": " الجديدة", "probability": 0.7300618489583334}, {"start": 1024.05, "end": 1024.69, "word": " نقول", "probability": 0.76171875}, {"start": 1024.69, "end": 1025.41, "word": " اه", "probability": 0.759765625}, {"start": 1025.41, "end": 1026.03, "word": " إذا", "probability": 0.77294921875}, {"start": 1026.03, "end": 1026.41, "word": " والله", "probability": 0.837646484375}, {"start": 1026.41, "end": 1026.59, "word": " ال", "probability": 0.8779296875}, {"start": 1026.59, "end": 1026.95, "word": " sequence", "probability": 0.9921875}, {"start": 1026.95, "end": 1027.53, "word": " هذه", "probability": 0.57568359375}, {"start": 1027.53, "end": 1028.25, "word": " convert", "probability": 0.5537109375}, {"start": 1028.25, "end": 1029.49, "word": " يبقى", "probability": 0.95703125}, {"start": 1029.49, "end": 1029.79, "word": " ال", "probability": 0.9609375}, {"start": 1029.79, "end": 1030.29, "word": " series", "probability": 0.95751953125}, {"start": 1030.29, "end": 1031.53, "word": " convert", "probability": 0.75}, {"start": 1031.53, "end": 1032.23, "word": " وإذا", "probability": 0.93505859375}, {"start": 1032.23, "end": 1032.41, "word": " ال", "probability": 0.984375}, {"start": 1032.41, "end": 1032.89, "word": " sequence", "probability": 0.99560546875}, {"start": 1032.89, "end": 1033.31, "word": " هذه", "probability": 0.677734375}, {"start": 1033.31, "end": 1034.15, "word": " diverge", "probability": 0.677978515625}, {"start": 1034.15, "end": 1034.47, "word": " إذا", "probability": 0.68603515625}, {"start": 1034.47, "end": 1034.69, "word": " ال", "probability": 0.93701171875}, {"start": 1034.69, "end": 1034.99, "word": " series", "probability": 0.8837890625}, {"start": 1034.99, "end": 1035.33, "word": " هذه", "probability": 0.83837890625}, {"start": 1035.33, "end": 1035.81, "word": " مالها", "probability": 0.806640625}, {"start": 1035.81, "end": 1036.77, "word": " diverge", "probability": 0.47454833984375}, {"start": 1036.77, "end": 1037.85, "word": " ونعرف", "probability": 0.6474609375}, {"start": 1037.85, "end": 1038.37, "word": " نحكم", "probability": 0.9749348958333334}, {"start": 1038.37, "end": 1038.83, "word": " على", "probability": 0.861328125}, {"start": 1038.83, "end": 1039.35, "word": " ال", "probability": 0.9775390625}, {"start": 1039.35, "end": 1039.79, "word": " sequence", "probability": 0.99267578125}, {"start": 1039.79, "end": 1040.05, "word": " اللي", "probability": 0.610107421875}, {"start": 1040.05, "end": 1040.23, "word": " هي", "probability": 0.5625}, {"start": 1040.23, "end": 1040.73, "word": " converge", "probability": 0.513671875}, {"start": 1040.73, "end": 1041.03, "word": " أو", "probability": 0.56689453125}, {"start": 1041.03, "end": 1041.57, "word": " diverge", "probability": 0.6771240234375}, {"start": 1041.57, "end": 1041.73, "word": " من", "probability": 0.9833984375}, {"start": 1041.73, "end": 1042.21, "word": " خلال", "probability": 0.9934895833333334}, {"start": 1042.21, "end": 1042.39, "word": " ال", "probability": 0.93603515625}, {"start": 1042.39, "end": 1042.67, "word": " section", "probability": 0.8046875}, {"start": 1042.67, "end": 1043.43, "word": " الماضي", "probability": 0.9405924479166666}, {"start": 1043.43, "end": 1043.81, "word": " اللي", "probability": 0.943359375}, {"start": 1043.81, "end": 1043.95, "word": " هو", "probability": 0.98046875}, {"start": 1043.95, "end": 1044.39, "word": " section", "probability": 0.75634765625}, {"start": 1044.39, "end": 1045.13, "word": " عشرة", "probability": 0.7552083333333334}, {"start": 1045.13, "end": 1045.89, "word": " واحد", "probability": 0.888916015625}, {"start": 1045.89, "end": 1046.73, "word": " فبعدين", "probability": 0.91357421875}, {"start": 1046.73, "end": 1047.23, "word": " بحقق", "probability": 0.78466796875}, {"start": 1047.23, "end": 1047.75, "word": " القاعدة", "probability": 0.9310302734375}, {"start": 1047.75, "end": 1048.07, "word": " عندي", "probability": 0.822265625}, {"start": 1048.07, "end": 1049.15, "word": " كالتالي", "probability": 0.8869140625}, {"start": 1049.15, "end": 1049.59, "word": " if", "probability": 0.42529296875}], "temperature": 1.0}, {"id": 44, "seek": 107192, "start": 1050.4, "end": 1071.92, "text": "the sequence of partial sums اللي mean is in converge or diverge هدى او هدى then the series", "tokens": [3322, 8310, 295, 14641, 34499, 13672, 1829, 914, 307, 294, 41881, 420, 18558, 432, 8032, 3215, 7578, 1975, 2407, 8032, 3215, 7578, 550, 264, 2638], "avg_logprob": -0.4993990636788882, "compression_ratio": 1.1195652173913044, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1050.4, "end": 1050.9, "word": "the", "probability": 0.25439453125}, {"start": 1050.9, "end": 1052.7, "word": " sequence", "probability": 0.974609375}, {"start": 1052.7, "end": 1053.86, "word": " of", "probability": 0.9775390625}, {"start": 1053.86, "end": 1055.84, "word": " partial", "probability": 0.9521484375}, {"start": 1055.84, "end": 1057.28, "word": " sums", "probability": 0.94091796875}, {"start": 1057.28, "end": 1059.7, "word": " اللي", "probability": 0.5030517578125}, {"start": 1059.7, "end": 1060.12, "word": " mean", "probability": 0.499267578125}, {"start": 1060.12, "end": 1060.9, "word": " is", "probability": 0.1385498046875}, {"start": 1060.9, "end": 1061.54, "word": " in", "probability": 0.6455078125}, {"start": 1061.54, "end": 1063.8, "word": " converge", "probability": 0.497314453125}, {"start": 1063.8, "end": 1065.12, "word": " or", "probability": 0.958984375}, {"start": 1065.12, "end": 1066.32, "word": " diverge", "probability": 0.640380859375}, {"start": 1066.32, "end": 1066.86, "word": " هدى", "probability": 0.6236979166666666}, {"start": 1066.86, "end": 1067.14, "word": " او", "probability": 0.736572265625}, {"start": 1067.14, "end": 1068.02, "word": " هدى", "probability": 0.9656575520833334}, {"start": 1068.02, "end": 1068.72, "word": " then", "probability": 0.716796875}, {"start": 1068.72, "end": 1070.28, "word": " the", "probability": 0.89111328125}, {"start": 1070.28, "end": 1071.92, "word": " series", "probability": 0.90966796875}], "temperature": 1.0}, {"id": 45, "seek": 108535, "start": 1073.0, "end": 1085.36, "text": "الإيمان summation من n equal one to infinity لل a and converge or diverge", "tokens": [6027, 28814, 1829, 15042, 1863, 28811, 9154, 297, 2681, 472, 281, 13202, 24976, 257, 293, 41881, 420, 18558, 432], "avg_logprob": -0.6082030981779099, "compression_ratio": 1.024390243902439, "no_speech_prob": 0.0, "words": [{"start": 1073.0, "end": 1074.0, "word": "الإيمان", "probability": 0.4922607421875}, {"start": 1074.0, "end": 1075.2, "word": " summation", "probability": 0.17578125}, {"start": 1075.2, "end": 1075.98, "word": " من", "probability": 0.90673828125}, {"start": 1075.98, "end": 1076.34, "word": " n", "probability": 0.41943359375}, {"start": 1076.34, "end": 1076.82, "word": " equal", "probability": 0.1328125}, {"start": 1076.82, "end": 1077.28, "word": " one", "probability": 0.8173828125}, {"start": 1077.28, "end": 1077.56, "word": " to", "probability": 0.9150390625}, {"start": 1077.56, "end": 1078.44, "word": " infinity", "probability": 0.86181640625}, {"start": 1078.44, "end": 1079.3, "word": " لل", "probability": 0.7421875}, {"start": 1079.3, "end": 1079.92, "word": " a", "probability": 0.2120361328125}, {"start": 1079.92, "end": 1080.5, "word": " and", "probability": 0.230712890625}, {"start": 1080.5, "end": 1081.86, "word": " converge", "probability": 0.87109375}, {"start": 1081.86, "end": 1083.94, "word": " or", "probability": 0.8857421875}, {"start": 1083.94, "end": 1085.36, "word": " diverge", "probability": 0.810546875}], "temperature": 1.0}, {"id": 46, "seek": 111302, "start": 1086.06, "end": 1113.02, "text": "يعني ايه؟ يعني إذا ال sequence of partial sums convert، يبقى ال series convert إذا ال sequence of partial sums diverge، إذا ال series لأنها دي ما لها، diverge فبفترض إن ال sequence of partial sums convert يعني معناته فيها، إنها limit يبقى ماجي بقوله هنا F", "tokens": [40228, 22653, 1975, 1829, 3224, 22807, 37495, 22653, 11933, 15730, 2423, 8310, 295, 14641, 34499, 7620, 12399, 7251, 3555, 4587, 7578, 2423, 2638, 7620, 11933, 15730, 2423, 8310, 295, 14641, 34499, 18558, 432, 12399, 11933, 15730, 2423, 2638, 5296, 33456, 11296, 11778, 1829, 19446, 5296, 11296, 12399, 18558, 432, 6156, 3555, 5172, 2655, 43042, 36145, 2423, 8310, 295, 14641, 34499, 7620, 37495, 22653, 20449, 8315, 47395, 8978, 11296, 12399, 36145, 11296, 4948, 7251, 3555, 4587, 7578, 3714, 26108, 1829, 4724, 39648, 3224, 34105, 479], "avg_logprob": -0.30275736135594983, "compression_ratio": 1.901639344262295, "no_speech_prob": 0.0, "words": [{"start": 1086.06, "end": 1086.56, "word": "يعني", "probability": 0.6109619140625}, {"start": 1086.56, "end": 1087.5, "word": " ايه؟", "probability": 0.635833740234375}, {"start": 1087.5, "end": 1087.92, "word": " يعني", "probability": 0.908447265625}, {"start": 1087.92, "end": 1088.16, "word": " إذا", "probability": 0.84423828125}, {"start": 1088.16, "end": 1088.36, "word": " ال", "probability": 0.73876953125}, {"start": 1088.36, "end": 1088.64, "word": " sequence", "probability": 0.54052734375}, {"start": 1088.64, "end": 1089.04, "word": " of", "probability": 0.95751953125}, {"start": 1089.04, "end": 1089.46, "word": " partial", "probability": 0.9560546875}, {"start": 1089.46, "end": 1089.98, "word": " sums", "probability": 0.96240234375}, {"start": 1089.98, "end": 1090.9, "word": " convert،", "probability": 0.34649658203125}, {"start": 1090.9, "end": 1091.26, "word": " يبقى", "probability": 0.9591064453125}, {"start": 1091.26, "end": 1091.48, "word": " ال", "probability": 0.86572265625}, {"start": 1091.48, "end": 1091.78, "word": " series", "probability": 0.88232421875}, {"start": 1091.78, "end": 1092.64, "word": " convert", "probability": 0.3916015625}, {"start": 1092.64, "end": 1093.76, "word": " إذا", "probability": 0.877197265625}, {"start": 1093.76, "end": 1093.96, "word": " ال", "probability": 0.9326171875}, {"start": 1093.96, "end": 1094.28, "word": " sequence", "probability": 0.9892578125}, {"start": 1094.28, "end": 1094.7, "word": " of", "probability": 0.9716796875}, {"start": 1094.7, "end": 1095.14, "word": " partial", "probability": 0.95849609375}, {"start": 1095.14, "end": 1095.82, "word": " sums", "probability": 0.92919921875}, {"start": 1095.82, "end": 1097.26, "word": " diverge،", "probability": 0.8162434895833334}, {"start": 1097.26, "end": 1097.58, "word": " إذا", "probability": 0.910400390625}, {"start": 1097.58, "end": 1097.82, "word": " ال", "probability": 0.91552734375}, {"start": 1097.82, "end": 1098.06, "word": " series", "probability": 0.94189453125}, {"start": 1098.06, "end": 1098.7, "word": " لأنها", "probability": 0.4510904947916667}, {"start": 1098.7, "end": 1098.88, "word": " دي", "probability": 0.8349609375}, {"start": 1098.88, "end": 1099.06, "word": " ما", "probability": 0.90087890625}, {"start": 1099.06, "end": 1099.74, "word": " لها،", "probability": 0.5942789713541666}, {"start": 1099.74, "end": 1101.22, "word": " diverge", "probability": 0.54364013671875}, {"start": 1101.22, "end": 1102.28, "word": " فبفترض", "probability": 0.818994140625}, {"start": 1102.28, "end": 1102.8, "word": " إن", "probability": 0.7900390625}, {"start": 1102.8, "end": 1103.02, "word": " ال", "probability": 0.72998046875}, {"start": 1103.02, "end": 1103.5, "word": " sequence", "probability": 0.98974609375}, {"start": 1103.5, "end": 1103.92, "word": " of", "probability": 0.978515625}, {"start": 1103.92, "end": 1104.3, "word": " partial", "probability": 0.9599609375}, {"start": 1104.3, "end": 1105.32, "word": " sums", "probability": 0.92822265625}, {"start": 1105.32, "end": 1106.46, "word": " convert", "probability": 0.52392578125}, {"start": 1106.46, "end": 1107.26, "word": " يعني", "probability": 0.770751953125}, {"start": 1107.26, "end": 1107.88, "word": " معناته", "probability": 0.9544270833333334}, {"start": 1107.88, "end": 1108.56, "word": " فيها،", "probability": 0.7950846354166666}, {"start": 1108.56, "end": 1108.84, "word": " إنها", "probability": 0.6895751953125}, {"start": 1108.84, "end": 1109.34, "word": " limit", "probability": 0.93603515625}, {"start": 1109.34, "end": 1110.28, "word": " يبقى", "probability": 0.89599609375}, {"start": 1110.28, "end": 1110.66, "word": " ماجي", "probability": 0.7350260416666666}, {"start": 1110.66, "end": 1111.26, "word": " بقوله", "probability": 0.7744140625}, {"start": 1111.26, "end": 1111.66, "word": " هنا", "probability": 0.98681640625}, {"start": 1111.66, "end": 1113.02, "word": " F", "probability": 0.69775390625}], "temperature": 1.0}, {"id": 47, "seek": 114238, "start": 1116.94, "end": 1142.38, "text": "سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا", "tokens": [3794, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730, 8608, 1829, 4117, 2407, 9957, 3794, 1975, 15730], "avg_logprob": -0.1252083396911621, "compression_ratio": 16.62162162162162, "no_speech_prob": 0.0, "words": [{"start": 1116.94, "end": 1117.98, "word": "سيكوينس", "probability": 0.4879557291666667}, {"start": 1117.98, "end": 1118.98, "word": " اذا", "probability": 0.48907470703125}, {"start": 1118.98, "end": 1120.7, "word": " سيكوينس", "probability": 0.8251139322916666}, {"start": 1120.7, "end": 1122.04, "word": " اذا", "probability": 0.51043701171875}, {"start": 1122.04, "end": 1124.26, "word": " سيكوينس", "probability": 0.9176432291666666}, {"start": 1124.26, "end": 1126.94, "word": " اذا", "probability": 0.50909423828125}, {"start": 1126.94, "end": 1127.24, "word": " سيكوينس", "probability": 0.8848470052083334}, {"start": 1127.24, "end": 1127.72, "word": " اذا", "probability": 0.58319091796875}, {"start": 1127.72, "end": 1131.56, "word": " سيكوينس", "probability": 0.8822021484375}, {"start": 1131.56, "end": 1131.56, "word": " اذا", "probability": 0.6082763671875}, {"start": 1131.56, "end": 1131.56, "word": " سيكوينس", "probability": 0.9036458333333334}, {"start": 1131.56, "end": 1131.56, "word": " اذا", "probability": 0.6217041015625}, {"start": 1131.56, "end": 1131.56, "word": " سيكوينس", "probability": 0.932373046875}, {"start": 1131.56, "end": 1131.56, "word": " اذا", "probability": 0.6558837890625}, {"start": 1131.56, "end": 1131.56, "word": " سيكوينس", "probability": 0.9644368489583334}, {"start": 1131.56, "end": 1131.56, "word": " اذا", "probability": 0.734619140625}, {"start": 1131.56, "end": 1131.56, "word": " سيكوينس", "probability": 0.9825032552083334}, {"start": 1131.56, "end": 1131.56, "word": " اذا", "probability": 0.82373046875}, {"start": 1131.56, "end": 1131.56, "word": " سيكوينس", "probability": 0.9894205729166666}, {"start": 1131.56, "end": 1131.98, "word": " اذا", "probability": 0.882568359375}, {"start": 1131.98, "end": 1131.98, "word": " سيكوينس", "probability": 0.9921061197916666}, {"start": 1131.98, "end": 1132.2, "word": " اذا", "probability": 0.91357421875}, {"start": 1132.2, "end": 1132.22, "word": " سيكوينس", "probability": 0.9937337239583334}, {"start": 1132.22, "end": 1132.22, "word": " اذا", "probability": 0.9306640625}, {"start": 1132.22, "end": 1132.22, "word": " سيكوينس", "probability": 0.9944661458333334}, {"start": 1132.22, "end": 1132.22, "word": " اذا", "probability": 0.942138671875}, {"start": 1132.22, "end": 1132.22, "word": " سيكوينس", "probability": 0.994873046875}, {"start": 1132.22, "end": 1132.22, "word": " اذا", "probability": 0.948974609375}, {"start": 1132.22, "end": 1132.22, "word": " سيكوينس", "probability": 0.9949544270833334}, {"start": 1132.22, "end": 1132.22, "word": " اذا", "probability": 0.953125}, {"start": 1132.22, "end": 1132.22, "word": " سيكوينس", "probability": 0.9951985677083334}, {"start": 1132.22, "end": 1132.22, "word": " اذا", "probability": 0.954345703125}, {"start": 1132.22, "end": 1132.22, "word": " سيكوينس", "probability": 0.9951171875}, {"start": 1132.22, "end": 1132.22, "word": " اذا", "probability": 0.954833984375}, {"start": 1132.22, "end": 1132.22, "word": " سيكوينس", "probability": 0.9951171875}, {"start": 1132.22, "end": 1132.22, "word": " اذا", "probability": 0.953857421875}, {"start": 1132.22, "end": 1132.22, "word": " سيكوينس", "probability": 0.994873046875}, {"start": 1132.22, "end": 1132.22, "word": " اذا", "probability": 0.950439453125}, {"start": 1132.22, "end": 1132.24, "word": " سيكوينس", "probability": 0.9943033854166666}, {"start": 1132.24, "end": 1132.24, "word": " اذا", "probability": 0.944091796875}, {"start": 1132.24, "end": 1132.24, "word": " سيكوينس", "probability": 0.993896484375}, {"start": 1132.24, "end": 1132.24, "word": " اذا", "probability": 0.9375}, {"start": 1132.24, "end": 1132.24, "word": " سيكوينس", "probability": 0.9934895833333334}, {"start": 1132.24, "end": 1132.24, "word": " اذا", "probability": 0.929443359375}, {"start": 1132.24, "end": 1132.28, "word": " سيكوينس", "probability": 0.9928385416666666}, {"start": 1132.28, "end": 1132.28, "word": " اذا", "probability": 0.91845703125}, {"start": 1132.28, "end": 1132.28, "word": " سيكوينس", "probability": 0.9921875}, {"start": 1132.28, "end": 1132.28, "word": " اذا", "probability": 0.90673828125}, {"start": 1132.28, "end": 1132.38, "word": " سيكوينس", "probability": 0.9912923177083334}, {"start": 1132.38, "end": 1132.94, "word": " اذا", "probability": 0.892578125}, {"start": 1132.94, "end": 1133.04, "word": " سيكوينس", "probability": 0.9905598958333334}, {"start": 1133.04, "end": 1133.24, "word": " اذا", "probability": 0.878662109375}, {"start": 1133.24, "end": 1133.4, "word": " سيكوينس", "probability": 0.989013671875}, {"start": 1133.4, "end": 1136.36, "word": " اذا", "probability": 0.863525390625}, {"start": 1136.36, "end": 1139.06, "word": " سيكوينس", "probability": 0.986328125}, {"start": 1139.06, "end": 1142.38, "word": " اذا", "probability": 0.845458984375}], "temperature": 1.0}, {"id": 48, "seek": 117029, "start": 1144.73, "end": 1170.29, "text": "بدي ساوي L كويس وال L هذه معناها أقل من infinity طبعا؟ طيب يبقى لها limit وال limit هذه تساوي مين؟ ال L في هذه الحالة بروح بقول له the sum", "tokens": [3555, 16254, 8608, 995, 45865, 441, 9122, 45865, 3794, 16070, 441, 29538, 20449, 8315, 11296, 5551, 4587, 1211, 9154, 13202, 23032, 3555, 3615, 995, 22807, 23032, 1829, 3555, 7251, 3555, 4587, 7578, 5296, 11296, 4948, 16070, 4948, 29538, 6055, 3794, 995, 45865, 3714, 9957, 22807, 2423, 441, 8978, 29538, 21542, 6027, 3660, 4724, 32887, 5016, 4724, 39648, 46740, 264, 2408], "avg_logprob": -0.3235143325367912, "compression_ratio": 1.4407894736842106, "no_speech_prob": 0.0, "words": [{"start": 1144.73, "end": 1145.21, "word": "بدي", "probability": 0.298095703125}, {"start": 1145.21, "end": 1146.21, "word": " ساوي", "probability": 0.7985026041666666}, {"start": 1146.21, "end": 1146.85, "word": " L", "probability": 0.26953125}, {"start": 1146.85, "end": 1149.45, "word": " كويس", "probability": 0.7345377604166666}, {"start": 1149.45, "end": 1150.33, "word": " وال", "probability": 0.55322265625}, {"start": 1150.33, "end": 1150.91, "word": " L", "probability": 0.57568359375}, {"start": 1150.91, "end": 1151.53, "word": " هذه", "probability": 0.68017578125}, {"start": 1151.53, "end": 1152.73, "word": " معناها", "probability": 0.6931966145833334}, {"start": 1152.73, "end": 1153.61, "word": " أقل", "probability": 0.85302734375}, {"start": 1153.61, "end": 1154.01, "word": " من", "probability": 0.99169921875}, {"start": 1154.01, "end": 1154.83, "word": " infinity", "probability": 0.50341796875}, {"start": 1154.83, "end": 1159.11, "word": " طبعا؟", "probability": 0.68974609375}, {"start": 1159.11, "end": 1160.01, "word": " طيب", "probability": 0.9168294270833334}, {"start": 1160.01, "end": 1160.47, "word": " يبقى", "probability": 0.92041015625}, {"start": 1160.47, "end": 1161.03, "word": " لها", "probability": 0.723876953125}, {"start": 1161.03, "end": 1162.87, "word": " limit", "probability": 0.80126953125}, {"start": 1162.87, "end": 1163.21, "word": " وال", "probability": 0.5419921875}, {"start": 1163.21, "end": 1163.55, "word": " limit", "probability": 0.90380859375}, {"start": 1163.55, "end": 1163.93, "word": " هذه", "probability": 0.849609375}, {"start": 1163.93, "end": 1164.51, "word": " تساوي", "probability": 0.8311767578125}, {"start": 1164.51, "end": 1165.23, "word": " مين؟", "probability": 0.7109375}, {"start": 1165.23, "end": 1165.45, "word": " ال", "probability": 0.50390625}, {"start": 1165.45, "end": 1165.75, "word": " L", "probability": 0.876953125}, {"start": 1165.75, "end": 1166.45, "word": " في", "probability": 0.86572265625}, {"start": 1166.45, "end": 1166.93, "word": " هذه", "probability": 0.9755859375}, {"start": 1166.93, "end": 1167.79, "word": " الحالة", "probability": 0.9925130208333334}, {"start": 1167.79, "end": 1168.61, "word": " بروح", "probability": 0.974609375}, {"start": 1168.61, "end": 1169.11, "word": " بقول", "probability": 0.954833984375}, {"start": 1169.11, "end": 1169.31, "word": " له", "probability": 0.465576171875}, {"start": 1169.31, "end": 1169.55, "word": " the", "probability": 0.45556640625}, {"start": 1169.55, "end": 1170.29, "word": " sum", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 49, "seek": 119522, "start": 1171.34, "end": 1195.22, "text": "of the series S بديله capital S وبقول هو عبارة عن مين؟ عن ال L أو بقول S summation من N equal one to infinity لل A N هذا المجموع كله بدي سوى مين؟ اللي هو مقدار ال limit", "tokens": [2670, 264, 2638, 318, 4724, 16254, 43761, 4238, 318, 46599, 39648, 31439, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 22807, 18871, 2423, 441, 34051, 4724, 39648, 318, 28811, 9154, 426, 2681, 472, 281, 13202, 24976, 316, 426, 23758, 9673, 7435, 2304, 45367, 28242, 3224, 4724, 16254, 8608, 2407, 7578, 3714, 9957, 22807, 13672, 1829, 31439, 3714, 28543, 9640, 2423, 4948], "avg_logprob": -0.27459016588867685, "compression_ratio": 1.3463687150837989, "no_speech_prob": 0.0, "words": [{"start": 1171.34, "end": 1171.98, "word": "of", "probability": 0.189208984375}, {"start": 1171.98, "end": 1173.24, "word": " the", "probability": 0.810546875}, {"start": 1173.24, "end": 1174.12, "word": " series", "probability": 0.9287109375}, {"start": 1174.12, "end": 1176.8, "word": " S", "probability": 0.50634765625}, {"start": 1176.8, "end": 1178.18, "word": " بديله", "probability": 0.2902425130208333}, {"start": 1178.18, "end": 1178.6, "word": " capital", "probability": 0.474365234375}, {"start": 1178.6, "end": 1179.34, "word": " S", "probability": 0.94921875}, {"start": 1179.34, "end": 1180.32, "word": " وبقول", "probability": 0.631591796875}, {"start": 1180.32, "end": 1180.66, "word": " هو", "probability": 0.89697265625}, {"start": 1180.66, "end": 1181.08, "word": " عبارة", "probability": 0.988525390625}, {"start": 1181.08, "end": 1181.34, "word": " عن", "probability": 0.96484375}, {"start": 1181.34, "end": 1182.14, "word": " مين؟", "probability": 0.6781412760416666}, {"start": 1182.14, "end": 1182.52, "word": " عن", "probability": 0.96728515625}, {"start": 1182.52, "end": 1182.8, "word": " ال", "probability": 0.97509765625}, {"start": 1182.8, "end": 1183.1, "word": " L", "probability": 0.64208984375}, {"start": 1183.1, "end": 1183.7, "word": " أو", "probability": 0.4990234375}, {"start": 1183.7, "end": 1184.68, "word": " بقول", "probability": 0.97119140625}, {"start": 1184.68, "end": 1185.2, "word": " S", "probability": 0.60986328125}, {"start": 1185.2, "end": 1186.08, "word": " summation", "probability": 0.77001953125}, {"start": 1186.08, "end": 1186.58, "word": " من", "probability": 0.9638671875}, {"start": 1186.58, "end": 1186.94, "word": " N", "probability": 0.7744140625}, {"start": 1186.94, "end": 1187.42, "word": " equal", "probability": 0.68896484375}, {"start": 1187.42, "end": 1187.84, "word": " one", "probability": 0.7734375}, {"start": 1187.84, "end": 1188.12, "word": " to", "probability": 0.9248046875}, {"start": 1188.12, "end": 1188.76, "word": " infinity", "probability": 0.8671875}, {"start": 1188.76, "end": 1189.14, "word": " لل", "probability": 0.78369140625}, {"start": 1189.14, "end": 1189.48, "word": " A", "probability": 0.5283203125}, {"start": 1189.48, "end": 1189.86, "word": " N", "probability": 0.83740234375}, {"start": 1189.86, "end": 1190.56, "word": " هذا", "probability": 0.88232421875}, {"start": 1190.56, "end": 1191.16, "word": " المجموع", "probability": 0.9581298828125}, {"start": 1191.16, "end": 1191.52, "word": " كله", "probability": 0.98046875}, {"start": 1191.52, "end": 1191.78, "word": " بدي", "probability": 0.6004638671875}, {"start": 1191.78, "end": 1192.14, "word": " سوى", "probability": 0.7277018229166666}, {"start": 1192.14, "end": 1192.84, "word": " مين؟", "probability": 0.9715169270833334}, {"start": 1192.84, "end": 1193.08, "word": " اللي", "probability": 0.911376953125}, {"start": 1193.08, "end": 1193.26, "word": " هو", "probability": 0.990234375}, {"start": 1193.26, "end": 1194.34, "word": " مقدار", "probability": 0.9775390625}, {"start": 1194.34, "end": 1194.62, "word": " ال", "probability": 0.92529296875}, {"start": 1194.62, "end": 1195.22, "word": " limit", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 50, "seek": 122806, "start": 1201.46, "end": 1228.06, "text": "نعطي مثال فوضيحي على الكلام اللي بنقوله هذا example discuss the convergence نقش لتقارب the convergence", "tokens": [1863, 3615, 9566, 1829, 50113, 6027, 6156, 2407, 11242, 1829, 5016, 1829, 15844, 2423, 28820, 10943, 13672, 1829, 44945, 39648, 3224, 23758, 1365, 2248, 264, 32181, 8717, 4587, 8592, 5296, 2655, 4587, 9640, 3555, 264, 32181], "avg_logprob": -0.21853885135135134, "compression_ratio": 1.2457627118644068, "no_speech_prob": 0.0, "words": [{"start": 1201.4599999999998, "end": 1202.86, "word": "نعطي", "probability": 0.57049560546875}, {"start": 1202.86, "end": 1203.32, "word": " مثال", "probability": 0.96826171875}, {"start": 1203.32, "end": 1204.36, "word": " فوضيحي", "probability": 0.9164225260416666}, {"start": 1204.36, "end": 1204.88, "word": " على", "probability": 0.479248046875}, {"start": 1204.88, "end": 1205.64, "word": " الكلام", "probability": 0.8748372395833334}, {"start": 1205.64, "end": 1205.98, "word": " اللي", "probability": 0.8671875}, {"start": 1205.98, "end": 1207.32, "word": " بنقوله", "probability": 0.82763671875}, {"start": 1207.32, "end": 1207.68, "word": " هذا", "probability": 0.8623046875}, {"start": 1207.68, "end": 1209.68, "word": " example", "probability": 0.5205078125}, {"start": 1209.68, "end": 1220.0, "word": " discuss", "probability": 0.6748046875}, {"start": 1220.0, "end": 1220.26, "word": " the", "probability": 0.8759765625}, {"start": 1220.26, "end": 1221.24, "word": " convergence", "probability": 0.958984375}, {"start": 1221.24, "end": 1224.3, "word": " نقش", "probability": 0.81787109375}, {"start": 1224.3, "end": 1225.86, "word": " لتقارب", "probability": 0.9642578125}, {"start": 1225.86, "end": 1226.72, "word": " the", "probability": 0.796875}, {"start": 1226.72, "end": 1228.06, "word": " convergence", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 51, "seek": 126026, "start": 1237.56, "end": 1260.26, "text": "من N إيقال 1 لإنفينيتي لناقص واحد to the power N minus الواحد solution شوفوا يا شباب", "tokens": [2304, 1863, 426, 11933, 1829, 4587, 6027, 502, 5296, 28814, 1863, 5172, 9957, 1829, 31371, 5296, 8315, 4587, 9381, 36764, 24401, 281, 264, 1347, 426, 3175, 2423, 14407, 24401, 3827, 13412, 38688, 14407, 35186, 13412, 3555, 16758], "avg_logprob": -0.47820723292074707, "compression_ratio": 1.135135135135135, "no_speech_prob": 0.0, "words": [{"start": 1237.56, "end": 1238.96, "word": "من", "probability": 0.18109130859375}, {"start": 1238.96, "end": 1239.34, "word": " N", "probability": 0.1956787109375}, {"start": 1239.34, "end": 1240.12, "word": " إيقال", "probability": 0.620697021484375}, {"start": 1240.12, "end": 1240.4, "word": " 1", "probability": 0.491455078125}, {"start": 1240.4, "end": 1242.0, "word": " لإنفينيتي", "probability": 0.72607421875}, {"start": 1242.0, "end": 1243.56, "word": " لناقص", "probability": 0.80963134765625}, {"start": 1243.56, "end": 1244.32, "word": " واحد", "probability": 0.853271484375}, {"start": 1244.32, "end": 1244.96, "word": " to", "probability": 0.458251953125}, {"start": 1244.96, "end": 1245.22, "word": " the", "probability": 0.8388671875}, {"start": 1245.22, "end": 1245.88, "word": " power", "probability": 0.88232421875}, {"start": 1245.88, "end": 1246.54, "word": " N", "probability": 0.6806640625}, {"start": 1246.54, "end": 1247.86, "word": " minus", "probability": 0.55810546875}, {"start": 1247.86, "end": 1249.1, "word": " الواحد", "probability": 0.6188557942708334}, {"start": 1249.1, "end": 1254.48, "word": " solution", "probability": 0.21630859375}, {"start": 1254.48, "end": 1259.84, "word": " شوفوا", "probability": 0.8113606770833334}, {"start": 1259.84, "end": 1259.98, "word": " يا", "probability": 0.96484375}, {"start": 1259.98, "end": 1260.26, "word": " شباب", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 52, "seek": 128883, "start": 1261.15, "end": 1288.83, "text": "بقول يناقش لي تقارب أو تباعد ال series اللي عنها بقول ياريخ نتعرف على شكلها في الأول و بعدين بنقدر نحكم هل هي convert او buy that فبجي بقوله summation من n equal one to infinity the minus واحد to the power n minus ال one يساوي بدي أبدأ بالواحد يبقى الحد الأول واحد", "tokens": [3555, 39648, 7251, 8315, 4587, 8592, 32239, 6055, 4587, 9640, 3555, 34051, 6055, 3555, 995, 22488, 2423, 2638, 13672, 1829, 18871, 11296, 4724, 39648, 7251, 9640, 1829, 9778, 8717, 2655, 3615, 28480, 15844, 13412, 28820, 11296, 8978, 16247, 12610, 4032, 39182, 9957, 44945, 28543, 2288, 8717, 5016, 24793, 8032, 1211, 39896, 7620, 1975, 2407, 2256, 300, 6156, 3555, 7435, 1829, 4724, 39648, 3224, 28811, 9154, 297, 2681, 472, 281, 13202, 264, 3175, 36764, 24401, 281, 264, 1347, 297, 3175, 2423, 472, 7251, 3794, 995, 45865, 4724, 16254, 5551, 44510, 10721, 20666, 14407, 24401, 7251, 3555, 4587, 7578, 21542, 3215, 16247, 12610, 36764, 24401], "avg_logprob": -0.2859074648183126, "compression_ratio": 1.6194331983805668, "no_speech_prob": 0.0, "words": [{"start": 1261.15, "end": 1261.61, "word": "بقول", "probability": 0.38720703125}, {"start": 1261.61, "end": 1262.35, "word": " يناقش", "probability": 0.748504638671875}, {"start": 1262.35, "end": 1262.69, "word": " لي", "probability": 0.246826171875}, {"start": 1262.69, "end": 1263.85, "word": " تقارب", "probability": 0.9876708984375}, {"start": 1263.85, "end": 1264.23, "word": " أو", "probability": 0.68359375}, {"start": 1264.23, "end": 1264.99, "word": " تباعد", "probability": 0.9227294921875}, {"start": 1264.99, "end": 1265.19, "word": " ال", "probability": 0.75732421875}, {"start": 1265.19, "end": 1265.43, "word": " series", "probability": 0.7822265625}, {"start": 1265.43, "end": 1265.73, "word": " اللي", "probability": 0.862548828125}, {"start": 1265.73, "end": 1266.17, "word": " عنها", "probability": 0.9140625}, {"start": 1266.17, "end": 1267.17, "word": " بقول", "probability": 0.693115234375}, {"start": 1267.17, "end": 1267.51, "word": " ياريخ", "probability": 0.5701904296875}, {"start": 1267.51, "end": 1268.11, "word": " نتعرف", "probability": 0.77911376953125}, {"start": 1268.11, "end": 1268.33, "word": " على", "probability": 0.72607421875}, {"start": 1268.33, "end": 1268.95, "word": " شكلها", "probability": 0.8543294270833334}, {"start": 1268.95, "end": 1269.07, "word": " في", "probability": 0.81494140625}, {"start": 1269.07, "end": 1269.43, "word": " الأول", "probability": 0.963623046875}, {"start": 1269.43, "end": 1269.59, "word": " و", "probability": 0.515625}, {"start": 1269.59, "end": 1270.17, "word": " بعدين", "probability": 0.92529296875}, {"start": 1270.17, "end": 1270.95, "word": " بنقدر", "probability": 0.8995768229166666}, {"start": 1270.95, "end": 1271.33, "word": " نحكم", "probability": 0.9884440104166666}, {"start": 1271.33, "end": 1271.61, "word": " هل", "probability": 0.94384765625}, {"start": 1271.61, "end": 1271.73, "word": " هي", "probability": 0.927734375}, {"start": 1271.73, "end": 1272.15, "word": " convert", "probability": 0.330810546875}, {"start": 1272.15, "end": 1273.01, "word": " او", "probability": 0.793701171875}, {"start": 1273.01, "end": 1273.59, "word": " buy", "probability": 0.401123046875}, {"start": 1273.59, "end": 1273.87, "word": " that", "probability": 0.280517578125}, {"start": 1273.87, "end": 1274.89, "word": " فبجي", "probability": 0.685546875}, {"start": 1274.89, "end": 1275.39, "word": " بقوله", "probability": 0.7607421875}, {"start": 1275.39, "end": 1275.93, "word": " summation", "probability": 0.609375}, {"start": 1275.93, "end": 1276.65, "word": " من", "probability": 0.9580078125}, {"start": 1276.65, "end": 1276.95, "word": " n", "probability": 0.5263671875}, {"start": 1276.95, "end": 1277.45, "word": " equal", "probability": 0.49072265625}, {"start": 1277.45, "end": 1277.85, "word": " one", "probability": 0.759765625}, {"start": 1277.85, "end": 1278.17, "word": " to", "probability": 0.9521484375}, {"start": 1278.17, "end": 1279.05, "word": " infinity", "probability": 0.8525390625}, {"start": 1279.05, "end": 1279.73, "word": " the", "probability": 0.2474365234375}, {"start": 1279.73, "end": 1280.17, "word": " minus", "probability": 0.3515625}, {"start": 1280.17, "end": 1280.65, "word": " واحد", "probability": 0.849853515625}, {"start": 1280.65, "end": 1280.91, "word": " to", "probability": 0.95654296875}, {"start": 1280.91, "end": 1281.13, "word": " the", "probability": 0.923828125}, {"start": 1281.13, "end": 1281.63, "word": " power", "probability": 0.8955078125}, {"start": 1281.63, "end": 1282.07, "word": " n", "probability": 0.73583984375}, {"start": 1282.07, "end": 1282.59, "word": " minus", "probability": 0.9208984375}, {"start": 1282.59, "end": 1282.87, "word": " ال", "probability": 0.869140625}, {"start": 1282.87, "end": 1283.15, "word": " one", "probability": 0.392333984375}, {"start": 1283.15, "end": 1284.35, "word": " يساوي", "probability": 0.9464111328125}, {"start": 1284.35, "end": 1285.19, "word": " بدي", "probability": 0.72021484375}, {"start": 1285.19, "end": 1285.53, "word": " أبدأ", "probability": 0.757080078125}, {"start": 1285.53, "end": 1286.21, "word": " بالواحد", "probability": 0.9788411458333334}, {"start": 1286.21, "end": 1286.69, "word": " يبقى", "probability": 0.8394775390625}, {"start": 1286.69, "end": 1287.11, "word": " الحد", "probability": 0.9873046875}, {"start": 1287.11, "end": 1287.75, "word": " الأول", "probability": 0.939697265625}, {"start": 1287.75, "end": 1288.83, "word": " واحد", "probability": 0.955810546875}], "temperature": 1.0}, {"id": 53, "seek": 131881, "start": 1289.25, "end": 1318.81, "text": "حُط ان بإتنين بصير سالب واحد اقص واحد اللي هو كم سالب واحد حُط ان بثلاثة بصير ناقص واحد تربيه اللي هو كم واحد حُط ان باربعة بصير سالب واحد زائد وعلى الشكلة لغاية ما نصل إلى ناقص واحد to the power ان plus one زائد لانرف الله الأرض ومن عليها", "tokens": [5016, 10859, 9566, 16472, 4724, 28814, 2655, 1863, 9957, 4724, 9381, 13546, 8608, 6027, 3555, 36764, 24401, 1975, 4587, 9381, 36764, 24401, 13672, 1829, 31439, 9122, 2304, 8608, 6027, 3555, 36764, 24401, 11331, 10859, 9566, 16472, 4724, 12984, 1211, 5718, 104, 3660, 4724, 9381, 13546, 8717, 995, 4587, 9381, 36764, 24401, 6055, 2288, 21292, 3224, 13672, 1829, 31439, 9122, 2304, 36764, 24401, 11331, 10859, 9566, 16472, 4724, 9640, 3555, 27884, 4724, 9381, 13546, 8608, 6027, 3555, 36764, 24401, 30767, 16373, 3215, 4032, 3615, 23942, 25124, 28820, 3660, 5296, 17082, 995, 10632, 19446, 8717, 36520, 30731, 8717, 995, 4587, 9381, 36764, 24401, 281, 264, 1347, 16472, 1804, 472, 30767, 16373, 3215, 5296, 7649, 28480, 21984, 16247, 43042, 4032, 27842, 25894, 11296], "avg_logprob": -0.23992768989121618, "compression_ratio": 2.140625, "no_speech_prob": 0.0, "words": [{"start": 1289.25, "end": 1289.75, "word": "حُط", "probability": 0.5357259114583334}, {"start": 1289.75, "end": 1290.13, "word": " ان", "probability": 0.177001953125}, {"start": 1290.13, "end": 1290.83, "word": " بإتنين", "probability": 0.7267333984375}, {"start": 1290.83, "end": 1291.23, "word": " بصير", "probability": 0.8626302083333334}, {"start": 1291.23, "end": 1291.75, "word": " سالب", "probability": 0.80078125}, {"start": 1291.75, "end": 1292.25, "word": " واحد", "probability": 0.977294921875}, {"start": 1292.25, "end": 1292.75, "word": " اقص", "probability": 0.5026041666666666}, {"start": 1292.75, "end": 1293.41, "word": " واحد", "probability": 0.723388671875}, {"start": 1293.41, "end": 1293.95, "word": " اللي", "probability": 0.876953125}, {"start": 1293.95, "end": 1294.13, "word": " هو", "probability": 0.9599609375}, {"start": 1294.13, "end": 1294.57, "word": " كم", "probability": 0.514404296875}, {"start": 1294.57, "end": 1295.99, "word": " سالب", "probability": 0.7835286458333334}, {"start": 1295.99, "end": 1296.33, "word": " واحد", "probability": 0.98974609375}, {"start": 1296.33, "end": 1297.37, "word": " حُط", "probability": 0.8172200520833334}, {"start": 1297.37, "end": 1297.77, "word": " ان", "probability": 0.79736328125}, {"start": 1297.77, "end": 1298.73, "word": " بثلاثة", "probability": 0.8270670572916666}, {"start": 1298.73, "end": 1299.17, "word": " بصير", "probability": 0.9347330729166666}, {"start": 1299.17, "end": 1299.81, "word": " ناقص", "probability": 0.9510498046875}, {"start": 1299.81, "end": 1300.29, "word": " واحد", "probability": 0.982177734375}, {"start": 1300.29, "end": 1300.75, "word": " تربيه", "probability": 0.7744140625}, {"start": 1300.75, "end": 1300.87, "word": " اللي", "probability": 0.9296875}, {"start": 1300.87, "end": 1301.01, "word": " هو", "probability": 0.98046875}, {"start": 1301.01, "end": 1301.99, "word": " كم", "probability": 0.98779296875}, {"start": 1301.99, "end": 1302.79, "word": " واحد", "probability": 0.6595458984375}, {"start": 1302.79, "end": 1303.77, "word": " حُط", "probability": 0.94580078125}, {"start": 1303.77, "end": 1304.17, "word": " ان", "probability": 0.7158203125}, {"start": 1304.17, "end": 1305.17, "word": " باربعة", "probability": 0.81982421875}, {"start": 1305.17, "end": 1306.01, "word": " بصير", "probability": 0.9837239583333334}, {"start": 1306.01, "end": 1306.79, "word": " سالب", "probability": 0.9855143229166666}, {"start": 1306.79, "end": 1307.33, "word": " واحد", "probability": 0.99609375}, {"start": 1307.33, "end": 1308.27, "word": " زائد", "probability": 0.6836751302083334}, {"start": 1308.27, "end": 1308.73, "word": " وعلى", "probability": 0.6624348958333334}, {"start": 1308.73, "end": 1310.03, "word": " الشكلة", "probability": 0.768798828125}, {"start": 1310.03, "end": 1310.47, "word": " لغاية", "probability": 0.9864501953125}, {"start": 1310.47, "end": 1310.67, "word": " ما", "probability": 0.95263671875}, {"start": 1310.67, "end": 1311.13, "word": " نصل", "probability": 0.976806640625}, {"start": 1311.13, "end": 1311.47, "word": " إلى", "probability": 0.689453125}, {"start": 1311.47, "end": 1312.01, "word": " ناقص", "probability": 0.983154296875}, {"start": 1312.01, "end": 1312.41, "word": " واحد", "probability": 0.993408203125}, {"start": 1312.41, "end": 1312.61, "word": " to", "probability": 0.83349609375}, {"start": 1312.61, "end": 1312.83, "word": " the", "probability": 0.91845703125}, {"start": 1312.83, "end": 1313.29, "word": " power", "probability": 0.89697265625}, {"start": 1313.29, "end": 1313.71, "word": " ان", "probability": 0.30419921875}, {"start": 1313.71, "end": 1314.23, "word": " plus", "probability": 0.85009765625}, {"start": 1314.23, "end": 1314.65, "word": " one", "probability": 0.9365234375}, {"start": 1314.65, "end": 1316.47, "word": " زائد", "probability": 0.9737955729166666}, {"start": 1316.47, "end": 1317.15, "word": " لانرف", "probability": 0.5186360677083334}, {"start": 1317.15, "end": 1317.51, "word": " الله", "probability": 0.94482421875}, {"start": 1317.51, "end": 1317.93, "word": " الأرض", "probability": 0.876708984375}, {"start": 1317.93, "end": 1318.27, "word": " ومن", "probability": 0.9619140625}, {"start": 1318.27, "end": 1318.81, "word": " عليها", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 54, "seek": 134813, "start": 1320.61, "end": 1348.13, "text": "تمام؟ طيب هذه مين؟ هذه ال infinite series بدي أعرف هل هي converge و لا diverse بقول الله أعلم لكن في الجزء النظر البسيط هذا ممكن أكوّن ال sequence of partial sums لهذه ال series و من ثم أحكم من خلال النتيجة اللي عندي إذا لو جاتي قلت بدي أجي لل S1 يسوى قد واحد", "tokens": [2655, 15042, 2304, 22807, 23032, 1829, 3555, 29538, 3714, 9957, 22807, 29538, 2423, 13785, 2638, 4724, 16254, 5551, 3615, 28480, 8032, 1211, 39896, 41881, 4032, 20193, 9521, 4724, 39648, 21984, 5551, 3615, 19528, 44381, 8978, 25724, 11622, 38207, 28239, 19913, 2288, 29739, 3794, 1829, 9566, 23758, 3714, 43020, 5551, 4117, 2407, 11703, 1863, 2423, 8310, 295, 14641, 34499, 46740, 24192, 2423, 2638, 4032, 9154, 38637, 2304, 5551, 5016, 24793, 9154, 16490, 1211, 6027, 28239, 31371, 7435, 3660, 13672, 1829, 18871, 16254, 11933, 15730, 45164, 10874, 9307, 1829, 12174, 1211, 2655, 4724, 16254, 5551, 7435, 1829, 24976, 318, 16, 7251, 3794, 2407, 7578, 12174, 3215, 36764, 24401], "avg_logprob": -0.2590537433312318, "compression_ratio": 1.5555555555555556, "no_speech_prob": 0.0, "words": [{"start": 1320.6100000000001, "end": 1321.45, "word": "تمام؟", "probability": 0.4730224609375}, {"start": 1321.45, "end": 1322.03, "word": " طيب", "probability": 0.82275390625}, {"start": 1322.03, "end": 1322.43, "word": " هذه", "probability": 0.26220703125}, {"start": 1322.43, "end": 1323.37, "word": " مين؟", "probability": 0.83154296875}, {"start": 1323.37, "end": 1323.87, "word": " هذه", "probability": 0.82080078125}, {"start": 1323.87, "end": 1324.11, "word": " ال", "probability": 0.85546875}, {"start": 1324.11, "end": 1324.69, "word": " infinite", "probability": 0.20751953125}, {"start": 1324.69, "end": 1325.95, "word": " series", "probability": 0.86962890625}, {"start": 1325.95, "end": 1326.79, "word": " بدي", "probability": 0.6356201171875}, {"start": 1326.79, "end": 1327.25, "word": " أعرف", "probability": 0.904296875}, {"start": 1327.25, "end": 1327.51, "word": " هل", "probability": 0.96337890625}, {"start": 1327.51, "end": 1327.69, "word": " هي", "probability": 0.83544921875}, {"start": 1327.69, "end": 1328.45, "word": " converge", "probability": 0.85302734375}, {"start": 1328.45, "end": 1328.61, "word": " و", "probability": 0.5625}, {"start": 1328.61, "end": 1328.73, "word": " لا", "probability": 0.955078125}, {"start": 1328.73, "end": 1329.09, "word": " diverse", "probability": 0.5234375}, {"start": 1329.09, "end": 1329.51, "word": " بقول", "probability": 0.756103515625}, {"start": 1329.51, "end": 1329.89, "word": " الله", "probability": 0.9423828125}, {"start": 1329.89, "end": 1330.49, "word": " أعلم", "probability": 0.9549153645833334}, {"start": 1330.49, "end": 1331.53, "word": " لكن", "probability": 0.81298828125}, {"start": 1331.53, "end": 1331.77, "word": " في", "probability": 0.9521484375}, {"start": 1331.77, "end": 1332.27, "word": " الجزء", "probability": 0.9689127604166666}, {"start": 1332.27, "end": 1332.91, "word": " النظر", "probability": 0.8863932291666666}, {"start": 1332.91, "end": 1333.69, "word": " البسيط", "probability": 0.9896240234375}, {"start": 1333.69, "end": 1334.01, "word": " هذا", "probability": 0.7744140625}, {"start": 1334.01, "end": 1334.63, "word": " ممكن", "probability": 0.98095703125}, {"start": 1334.63, "end": 1335.29, "word": " أكوّن", "probability": 0.69326171875}, {"start": 1335.29, "end": 1335.47, "word": " ال", "probability": 0.88916015625}, {"start": 1335.47, "end": 1336.01, "word": " sequence", "probability": 0.97998046875}, {"start": 1336.01, "end": 1336.25, "word": " of", "probability": 0.86328125}, {"start": 1336.25, "end": 1336.89, "word": " partial", "probability": 0.955078125}, {"start": 1336.89, "end": 1337.57, "word": " sums", "probability": 0.95654296875}, {"start": 1337.57, "end": 1338.55, "word": " لهذه", "probability": 0.965576171875}, {"start": 1338.55, "end": 1338.75, "word": " ال", "probability": 0.94384765625}, {"start": 1338.75, "end": 1339.05, "word": " series", "probability": 0.943359375}, {"start": 1339.05, "end": 1339.43, "word": " و", "probability": 0.95458984375}, {"start": 1339.43, "end": 1339.69, "word": " من", "probability": 0.70263671875}, {"start": 1339.69, "end": 1340.11, "word": " ثم", "probability": 0.986328125}, {"start": 1340.11, "end": 1340.91, "word": " أحكم", "probability": 0.9495442708333334}, {"start": 1340.91, "end": 1341.11, "word": " من", "probability": 0.99365234375}, {"start": 1341.11, "end": 1341.51, "word": " خلال", "probability": 0.9977213541666666}, {"start": 1341.51, "end": 1342.11, "word": " النتيجة", "probability": 0.9505615234375}, {"start": 1342.11, "end": 1342.29, "word": " اللي", "probability": 0.931640625}, {"start": 1342.29, "end": 1342.73, "word": " عندي", "probability": 0.7203369140625}, {"start": 1342.73, "end": 1343.47, "word": " إذا", "probability": 0.885986328125}, {"start": 1343.47, "end": 1343.73, "word": " لو", "probability": 0.98046875}, {"start": 1343.73, "end": 1344.13, "word": " جاتي", "probability": 0.5850830078125}, {"start": 1344.13, "end": 1344.37, "word": " قلت", "probability": 0.58154296875}, {"start": 1344.37, "end": 1344.71, "word": " بدي", "probability": 0.6239013671875}, {"start": 1344.71, "end": 1344.99, "word": " أجي", "probability": 0.9191080729166666}, {"start": 1344.99, "end": 1345.23, "word": " لل", "probability": 0.482177734375}, {"start": 1345.23, "end": 1346.19, "word": " S1", "probability": 0.7734375}, {"start": 1346.19, "end": 1346.75, "word": " يسوى", "probability": 0.79150390625}, {"start": 1346.75, "end": 1347.01, "word": " قد", "probability": 0.6800537109375}, {"start": 1347.01, "end": 1348.13, "word": " واحد", "probability": 0.822998046875}], "temperature": 1.0}, {"id": 55, "seek": 137859, "start": 1348.61, "end": 1378.59, "text": "الـ S2 سيكون واحد ناقص واحد سيكون واحد ناقص واحد", "tokens": [6027, 39184, 318, 17, 8608, 1829, 30544, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 8608, 1829, 30544, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.5283564594056871, "compression_ratio": 1.6037735849056605, "no_speech_prob": 0.025054931640625, "words": [{"start": 1348.61, "end": 1349.19, "word": "الـ", "probability": 0.3868408203125}, {"start": 1349.19, "end": 1350.03, "word": " S2", "probability": 0.8515625}, {"start": 1350.03, "end": 1350.87, "word": " سيكون", "probability": 0.3802134195963542}, {"start": 1350.87, "end": 1351.45, "word": " واحد", "probability": 0.7176513671875}, {"start": 1351.45, "end": 1352.05, "word": " ناقص", "probability": 0.8077392578125}, {"start": 1352.05, "end": 1352.43, "word": " واحد", "probability": 0.9765625}, {"start": 1352.43, "end": 1352.69, "word": " سيكون", "probability": 0.5990397135416666}, {"start": 1352.69, "end": 1356.69, "word": " واحد", "probability": 0.714599609375}, {"start": 1356.69, "end": 1378.59, "word": " ناقص", "probability": 0.928466796875}, {"start": 1378.59, "end": 1378.59, "word": " واحد", "probability": 0.787109375}], "temperature": 1.0}, {"id": 56, "seek": 140711, "start": 1385.29, "end": 1407.11, "text": "والتالت واحد والرابع مجرد وهلوم فما هي رأيك في الـsequence هذي الـconverge و لا الـdiverge؟ يبقى باجي بقول له هذه الـsequence مختلفة لأنها تتحرك", "tokens": [2407, 6027, 2655, 6027, 2655, 36764, 24401, 16070, 2288, 16758, 3615, 3714, 7435, 2288, 3215, 4032, 3224, 1211, 20498, 6156, 15042, 39896, 12602, 10721, 1829, 4117, 8978, 2423, 39184, 11834, 655, 8032, 8848, 1829, 2423, 39184, 1671, 331, 432, 4032, 20193, 2423, 39184, 67, 1837, 432, 22807, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 46740, 29538, 2423, 39184, 11834, 655, 3714, 46456, 46538, 3660, 5296, 33456, 11296, 6055, 2655, 5016, 31747], "avg_logprob": -0.6997465982630446, "compression_ratio": 1.5294117647058822, "no_speech_prob": 0.0, "words": [{"start": 1385.29, "end": 1386.59, "word": "والتالت", "probability": 0.537847900390625}, {"start": 1386.59, "end": 1387.33, "word": " واحد", "probability": 0.69580078125}, {"start": 1387.33, "end": 1388.37, "word": " والرابع", "probability": 0.8621826171875}, {"start": 1388.37, "end": 1388.97, "word": " مجرد", "probability": 0.40545654296875}, {"start": 1388.97, "end": 1389.75, "word": " وهلوم", "probability": 0.3915252685546875}, {"start": 1389.75, "end": 1391.77, "word": " فما", "probability": 0.37158203125}, {"start": 1391.77, "end": 1391.85, "word": " هي", "probability": 0.301513671875}, {"start": 1391.85, "end": 1392.21, "word": " رأيك", "probability": 0.8551025390625}, {"start": 1392.21, "end": 1392.37, "word": " في", "probability": 0.5791015625}, {"start": 1392.37, "end": 1392.93, "word": " الـsequence", "probability": 0.37371826171875}, {"start": 1392.93, "end": 1393.21, "word": " هذي", "probability": 0.4759928385416667}, {"start": 1393.21, "end": 1393.97, "word": " الـconverge", "probability": 0.513134765625}, {"start": 1393.97, "end": 1394.07, "word": " و", "probability": 0.20703125}, {"start": 1394.07, "end": 1394.19, "word": " لا", "probability": 0.9755859375}, {"start": 1394.19, "end": 1395.53, "word": " الـdiverge؟", "probability": 0.7464599609375}, {"start": 1395.53, "end": 1396.19, "word": " يبقى", "probability": 0.775848388671875}, {"start": 1396.19, "end": 1396.69, "word": " باجي", "probability": 0.8053385416666666}, {"start": 1396.69, "end": 1397.23, "word": " بقول", "probability": 0.870361328125}, {"start": 1397.23, "end": 1397.53, "word": " له", "probability": 0.5322265625}, {"start": 1397.53, "end": 1398.17, "word": " هذه", "probability": 0.22021484375}, {"start": 1398.17, "end": 1400.27, "word": " الـsequence", "probability": 0.767333984375}, {"start": 1400.27, "end": 1402.21, "word": " مختلفة", "probability": 0.68560791015625}, {"start": 1402.21, "end": 1405.39, "word": " لأنها", "probability": 0.8523763020833334}, {"start": 1405.39, "end": 1407.11, "word": " تتحرك", "probability": 0.2839508056640625}], "temperature": 1.0}, {"id": 57, "seek": 142070, "start": 1411.82, "end": 1420.7, "text": "between two different limits", "tokens": [32387, 732, 819, 10406], "avg_logprob": -0.214453125, "compression_ratio": 0.7777777777777778, "no_speech_prob": 0.0, "words": [{"start": 1411.8199999999997, "end": 1413.2199999999998, "word": "between", "probability": 0.435546875}, {"start": 1413.2199999999998, "end": 1414.62, "word": " two", "probability": 0.94189453125}, {"start": 1414.62, "end": 1416.7, "word": " different", "probability": 0.91943359375}, {"start": 1416.7, "end": 1420.7, "word": " limits", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 58, "seek": 144309, "start": 1422.27, "end": 1443.09, "text": "مين ال two different limits اللي هو واحد and زيرو لذلك ال sequence of partial sums مالها divaried مدام ال sequence هي divaried يبقى ال series الأصلية divaried يبقى ال series summation", "tokens": [2304, 9957, 2423, 732, 819, 10406, 13672, 1829, 31439, 36764, 24401, 293, 30767, 1829, 32887, 5296, 8848, 23275, 2423, 8310, 295, 14641, 34499, 3714, 6027, 11296, 3414, 289, 1091, 3714, 3215, 10943, 2423, 8310, 39896, 3414, 289, 1091, 7251, 3555, 4587, 7578, 2423, 2638, 16247, 9381, 1211, 10632, 3414, 289, 1091, 7251, 3555, 4587, 7578, 2423, 2638, 28811], "avg_logprob": -0.474311444718959, "compression_ratio": 1.5483870967741935, "no_speech_prob": 0.0, "words": [{"start": 1422.27, "end": 1422.73, "word": "مين", "probability": 0.2432861328125}, {"start": 1422.73, "end": 1422.89, "word": " ال", "probability": 0.85888671875}, {"start": 1422.89, "end": 1423.03, "word": " two", "probability": 0.355224609375}, {"start": 1423.03, "end": 1423.49, "word": " different", "probability": 0.92724609375}, {"start": 1423.49, "end": 1424.11, "word": " limits", "probability": 0.94384765625}, {"start": 1424.11, "end": 1424.81, "word": " اللي", "probability": 0.6434326171875}, {"start": 1424.81, "end": 1425.03, "word": " هو", "probability": 0.9599609375}, {"start": 1425.03, "end": 1425.83, "word": " واحد", "probability": 0.947509765625}, {"start": 1425.83, "end": 1427.01, "word": " and", "probability": 0.78466796875}, {"start": 1427.01, "end": 1428.41, "word": " زيرو", "probability": 0.3142496744791667}, {"start": 1428.41, "end": 1429.31, "word": " لذلك", "probability": 0.9259440104166666}, {"start": 1429.31, "end": 1429.57, "word": " ال", "probability": 0.86767578125}, {"start": 1429.57, "end": 1429.99, "word": " sequence", "probability": 0.9638671875}, {"start": 1429.99, "end": 1430.29, "word": " of", "probability": 0.896484375}, {"start": 1430.29, "end": 1430.79, "word": " partial", "probability": 0.9482421875}, {"start": 1430.79, "end": 1431.29, "word": " sums", "probability": 0.96240234375}, {"start": 1431.29, "end": 1431.93, "word": " مالها", "probability": 0.733642578125}, {"start": 1431.93, "end": 1433.31, "word": " divaried", "probability": 0.2511393229166667}, {"start": 1433.31, "end": 1433.65, "word": " مدام", "probability": 0.7298177083333334}, {"start": 1433.65, "end": 1433.81, "word": " ال", "probability": 0.82666015625}, {"start": 1433.81, "end": 1434.15, "word": " sequence", "probability": 0.98388671875}, {"start": 1434.15, "end": 1434.43, "word": " هي", "probability": 0.2218017578125}, {"start": 1434.43, "end": 1435.35, "word": " divaried", "probability": 0.5986328125}, {"start": 1435.35, "end": 1435.59, "word": " يبقى", "probability": 0.755340576171875}, {"start": 1435.59, "end": 1435.85, "word": " ال", "probability": 0.82275390625}, {"start": 1435.85, "end": 1435.85, "word": " series", "probability": 0.85546875}, {"start": 1435.85, "end": 1436.69, "word": " الأصلية", "probability": 0.7518310546875}, {"start": 1436.69, "end": 1438.15, "word": " divaried", "probability": 0.7858072916666666}, {"start": 1438.15, "end": 1438.77, "word": " يبقى", "probability": 0.954833984375}, {"start": 1438.77, "end": 1439.29, "word": " ال", "probability": 0.300048828125}, {"start": 1439.29, "end": 1441.53, "word": " series", "probability": 0.83203125}, {"start": 1441.53, "end": 1443.09, "word": " summation", "probability": 0.416015625}], "temperature": 1.0}, {"id": 59, "seek": 145357, "start": 1444.09, "end": 1453.57, "text": "من n equal one to infinity لنقص واحد to the power n minus one مالها by virtue", "tokens": [27842, 297, 2681, 472, 281, 13202, 5296, 1863, 4587, 9381, 36764, 24401, 281, 264, 1347, 297, 3175, 472, 3714, 6027, 11296, 538, 20816], "avg_logprob": -0.32568359375, "compression_ratio": 1.010989010989011, "no_speech_prob": 0.0, "words": [{"start": 1444.09, "end": 1444.47, "word": "من", "probability": 0.321044921875}, {"start": 1444.47, "end": 1444.85, "word": " n", "probability": 0.456298828125}, {"start": 1444.85, "end": 1445.39, "word": " equal", "probability": 0.0163726806640625}, {"start": 1445.39, "end": 1445.83, "word": " one", "probability": 0.7021484375}, {"start": 1445.83, "end": 1446.13, "word": " to", "probability": 0.94775390625}, {"start": 1446.13, "end": 1446.95, "word": " infinity", "probability": 0.875}, {"start": 1446.95, "end": 1448.17, "word": " لنقص", "probability": 0.67779541015625}, {"start": 1448.17, "end": 1448.57, "word": " واحد", "probability": 0.97119140625}, {"start": 1448.57, "end": 1448.77, "word": " to", "probability": 0.9091796875}, {"start": 1448.77, "end": 1448.97, "word": " the", "probability": 0.85546875}, {"start": 1448.97, "end": 1449.45, "word": " power", "probability": 0.89453125}, {"start": 1449.45, "end": 1449.85, "word": " n", "probability": 0.8076171875}, {"start": 1449.85, "end": 1450.41, "word": " minus", "probability": 0.931640625}, {"start": 1450.41, "end": 1450.95, "word": " one", "probability": 0.92919921875}, {"start": 1450.95, "end": 1452.37, "word": " مالها", "probability": 0.7452799479166666}, {"start": 1452.37, "end": 1453.15, "word": " by", "probability": 0.73974609375}, {"start": 1453.15, "end": 1453.57, "word": " virtue", "probability": 0.806640625}], "temperature": 1.0}, {"id": 60, "seek": 148422, "start": 1470.78, "end": 1484.22, "text": "طيب السؤال اللى قال ممكن يدور فى دماغ البعض منكوا انتوا جاعدين إيه لم يكن فى دماغ الكل؟ إذا كان كل سؤال بدنا نقعد نسويله و هيك ده دي قصتنا حزينة و بتطور", "tokens": [9566, 1829, 3555, 21136, 33604, 6027, 13672, 7578, 50239, 3714, 43020, 7251, 3215, 13063, 6156, 7578, 11778, 2304, 5718, 118, 29739, 3615, 11242, 9154, 4117, 14407, 16472, 2655, 14407, 10874, 995, 22488, 9957, 11933, 1829, 3224, 32767, 7251, 19452, 6156, 7578, 11778, 2304, 5718, 118, 2423, 28820, 22807, 11933, 15730, 25961, 28242, 8608, 33604, 6027, 47525, 8315, 8717, 4587, 22488, 8717, 3794, 45865, 43761, 4032, 39896, 4117, 11778, 3224, 11778, 1829, 12174, 9381, 2655, 8315, 11331, 11622, 9957, 3660, 4032, 39894, 9566, 2407, 2288], "avg_logprob": -0.20220587674309226, "compression_ratio": 1.7, "no_speech_prob": 0.0, "words": [{"start": 1470.7800000000002, "end": 1471.38, "word": "طيب", "probability": 0.8279622395833334}, {"start": 1471.38, "end": 1471.98, "word": " السؤال", "probability": 0.9049479166666666}, {"start": 1471.98, "end": 1472.18, "word": " اللى", "probability": 0.732666015625}, {"start": 1472.18, "end": 1472.48, "word": " قال", "probability": 0.953125}, {"start": 1472.48, "end": 1473.02, "word": " ممكن", "probability": 0.992431640625}, {"start": 1473.02, "end": 1473.6, "word": " يدور", "probability": 0.9931640625}, {"start": 1473.6, "end": 1474.0, "word": " فى", "probability": 0.78564453125}, {"start": 1474.0, "end": 1474.54, "word": " دماغ", "probability": 0.9539794921875}, {"start": 1474.54, "end": 1475.7, "word": " البعض", "probability": 0.9549153645833334}, {"start": 1475.7, "end": 1476.24, "word": " منكوا", "probability": 0.695556640625}, {"start": 1476.24, "end": 1476.4, "word": " انتوا", "probability": 0.80517578125}, {"start": 1476.4, "end": 1476.86, "word": " جاعدين", "probability": 0.869873046875}, {"start": 1476.86, "end": 1477.14, "word": " إيه", "probability": 0.7364908854166666}, {"start": 1477.14, "end": 1477.26, "word": " لم", "probability": 0.8603515625}, {"start": 1477.26, "end": 1477.54, "word": " يكن", "probability": 0.994873046875}, {"start": 1477.54, "end": 1477.74, "word": " فى", "probability": 0.9521484375}, {"start": 1477.74, "end": 1478.02, "word": " دماغ", "probability": 0.9947509765625}, {"start": 1478.02, "end": 1479.68, "word": " الكل؟", "probability": 0.7923177083333334}, {"start": 1479.68, "end": 1479.92, "word": " إذا", "probability": 0.836181640625}, {"start": 1479.92, "end": 1480.22, "word": " كان", "probability": 0.98828125}, {"start": 1480.22, "end": 1480.5, "word": " كل", "probability": 0.9814453125}, {"start": 1480.5, "end": 1480.92, "word": " سؤال", "probability": 0.9923502604166666}, {"start": 1480.92, "end": 1481.22, "word": " بدنا", "probability": 0.952880859375}, {"start": 1481.22, "end": 1481.5, "word": " نقعد", "probability": 0.9811197916666666}, {"start": 1481.5, "end": 1482.14, "word": " نسويله", "probability": 0.8929443359375}, {"start": 1482.14, "end": 1482.22, "word": " و", "probability": 0.54736328125}, {"start": 1482.22, "end": 1482.38, "word": " هيك", "probability": 0.846923828125}, {"start": 1482.38, "end": 1482.5, "word": " ده", "probability": 0.53009033203125}, {"start": 1482.5, "end": 1482.68, "word": " دي", "probability": 0.3818359375}, {"start": 1482.68, "end": 1483.16, "word": " قصتنا", "probability": 0.9349365234375}, {"start": 1483.16, "end": 1483.58, "word": " حزينة", "probability": 0.97998046875}, {"start": 1483.58, "end": 1483.66, "word": " و", "probability": 0.71630859375}, {"start": 1483.66, "end": 1484.22, "word": " بتطور", "probability": 0.59588623046875}], "temperature": 1.0}, {"id": 61, "seek": 150739, "start": 1485.07, "end": 1507.39, "text": "يعني كل series لسه بدى احويلها لل sequence واروح ادور على ال sequence by vary و لا by convert و هدى اسقط هدى على ال series هدى قصة طويلة تمام؟ لذلك احنا يعني عند الضرورة بدنا نرجع للمثل اللي زي هيك غير الضرورة في عندنا تلاتة series مشهورة", "tokens": [40228, 22653, 28242, 2638, 5296, 3794, 3224, 47525, 7578, 1975, 5016, 2407, 26895, 11296, 24976, 8310, 4032, 9640, 2407, 5016, 1975, 3215, 13063, 15844, 2423, 8310, 538, 10559, 4032, 20193, 538, 7620, 4032, 8032, 3215, 7578, 1975, 3794, 47432, 8032, 3215, 7578, 15844, 2423, 2638, 8032, 3215, 7578, 12174, 9381, 3660, 23032, 2407, 26895, 3660, 46811, 10943, 22807, 5296, 8848, 23275, 1975, 5016, 8315, 37495, 22653, 43242, 6024, 114, 2288, 13063, 3660, 47525, 8315, 8717, 47341, 3615, 5296, 19528, 12984, 1211, 13672, 1829, 30767, 1829, 39896, 4117, 32771, 13546, 6024, 114, 2288, 13063, 3660, 8978, 43242, 8315, 6055, 1211, 9307, 3660, 2638, 37893, 3224, 13063, 3660], "avg_logprob": -0.3098714886424698, "compression_ratio": 1.7757009345794392, "no_speech_prob": 0.0, "words": [{"start": 1485.07, "end": 1485.51, "word": "يعني", "probability": 0.517120361328125}, {"start": 1485.51, "end": 1485.97, "word": " كل", "probability": 0.80908203125}, {"start": 1485.97, "end": 1486.37, "word": " series", "probability": 0.5693359375}, {"start": 1486.37, "end": 1486.77, "word": " لسه", "probability": 0.8445638020833334}, {"start": 1486.77, "end": 1487.03, "word": " بدى", "probability": 0.486083984375}, {"start": 1487.03, "end": 1487.51, "word": " احويلها", "probability": 0.78740234375}, {"start": 1487.51, "end": 1487.75, "word": " لل", "probability": 0.68896484375}, {"start": 1487.75, "end": 1488.35, "word": " sequence", "probability": 0.935546875}, {"start": 1488.35, "end": 1489.13, "word": " واروح", "probability": 0.79736328125}, {"start": 1489.13, "end": 1489.53, "word": " ادور", "probability": 0.79931640625}, {"start": 1489.53, "end": 1489.79, "word": " على", "probability": 0.61572265625}, {"start": 1489.79, "end": 1489.95, "word": " ال", "probability": 0.62646484375}, {"start": 1489.95, "end": 1490.29, "word": " sequence", "probability": 0.96435546875}, {"start": 1490.29, "end": 1490.61, "word": " by", "probability": 0.10205078125}, {"start": 1490.61, "end": 1490.95, "word": " vary", "probability": 0.1761474609375}, {"start": 1490.95, "end": 1491.07, "word": " و", "probability": 0.26171875}, {"start": 1491.07, "end": 1491.19, "word": " لا", "probability": 0.74609375}, {"start": 1491.19, "end": 1491.43, "word": " by", "probability": 0.2283935546875}, {"start": 1491.43, "end": 1491.65, "word": " convert", "probability": 0.51318359375}, {"start": 1491.65, "end": 1491.89, "word": " و", "probability": 0.34228515625}, {"start": 1491.89, "end": 1492.25, "word": " هدى", "probability": 0.453369140625}, {"start": 1492.25, "end": 1492.91, "word": " اسقط", "probability": 0.7628580729166666}, {"start": 1492.91, "end": 1493.29, "word": " هدى", "probability": 0.7163899739583334}, {"start": 1493.29, "end": 1493.49, "word": " على", "probability": 0.76123046875}, {"start": 1493.49, "end": 1493.65, "word": " ال", "probability": 0.96044921875}, {"start": 1493.65, "end": 1494.03, "word": " series", "probability": 0.95849609375}, {"start": 1494.03, "end": 1494.65, "word": " هدى", "probability": 0.7508951822916666}, {"start": 1494.65, "end": 1495.01, "word": " قصة", "probability": 0.9166666666666666}, {"start": 1495.01, "end": 1496.01, "word": " طويلة", "probability": 0.969970703125}, {"start": 1496.01, "end": 1497.13, "word": " تمام؟", "probability": 0.67431640625}, {"start": 1497.13, "end": 1497.99, "word": " لذلك", "probability": 0.9617513020833334}, {"start": 1497.99, "end": 1499.35, "word": " احنا", "probability": 0.96142578125}, {"start": 1499.35, "end": 1500.15, "word": " يعني", "probability": 0.6046142578125}, {"start": 1500.15, "end": 1500.59, "word": " عند", "probability": 0.99560546875}, {"start": 1500.59, "end": 1501.37, "word": " الضرورة", "probability": 0.90556640625}, {"start": 1501.37, "end": 1501.59, "word": " بدنا", "probability": 0.784912109375}, {"start": 1501.59, "end": 1501.97, "word": " نرجع", "probability": 0.9827473958333334}, {"start": 1501.97, "end": 1502.61, "word": " للمثل", "probability": 0.8248291015625}, {"start": 1502.61, "end": 1502.79, "word": " اللي", "probability": 0.601318359375}, {"start": 1502.79, "end": 1503.07, "word": " زي", "probability": 0.947265625}, {"start": 1503.07, "end": 1503.57, "word": " هيك", "probability": 0.919189453125}, {"start": 1503.57, "end": 1503.97, "word": " غير", "probability": 0.834228515625}, {"start": 1503.97, "end": 1504.57, "word": " الضرورة", "probability": 0.96533203125}, {"start": 1504.57, "end": 1504.83, "word": " في", "probability": 0.8603515625}, {"start": 1504.83, "end": 1505.45, "word": " عندنا", "probability": 0.964599609375}, {"start": 1505.45, "end": 1506.07, "word": " تلاتة", "probability": 0.955810546875}, {"start": 1506.07, "end": 1506.51, "word": " series", "probability": 0.96240234375}, {"start": 1506.51, "end": 1507.39, "word": " مشهورة", "probability": 0.9927978515625}], "temperature": 1.0}, {"id": 62, "seek": 153389, "start": 1508.85, "end": 1533.89, "text": "وستة اختبارات من خلالها نقدر نحكم على ال series هل هي convert او buy and sell في ال section اللي بين ادينا بدنا ناخد اختبار واحد ومتسلسلة واحدة ال series واحدة والباقية ال sections القادمة تمام؟ فالمهم اول series من ال series التلاتة اللي بدنا ناخدها في هذا ال section", "tokens": [2407, 14851, 3660, 1975, 46456, 3555, 9640, 9307, 9154, 16490, 1211, 6027, 11296, 8717, 28543, 2288, 8717, 5016, 24793, 15844, 2423, 2638, 8032, 1211, 39896, 7620, 1975, 2407, 2256, 293, 3607, 8978, 2423, 3541, 13672, 1829, 49374, 1975, 16254, 8315, 47525, 8315, 8717, 47283, 3215, 1975, 46456, 3555, 9640, 36764, 24401, 4032, 2304, 2655, 3794, 1211, 3794, 37977, 36764, 24401, 3660, 2423, 2638, 36764, 24401, 3660, 16070, 3555, 995, 4587, 10632, 2423, 10863, 25062, 18513, 46007, 46811, 10943, 22807, 6156, 45340, 16095, 1975, 12610, 2638, 9154, 2423, 2638, 16712, 1211, 9307, 3660, 13672, 1829, 47525, 8315, 8717, 47283, 3215, 11296, 8978, 23758, 2423, 3541], "avg_logprob": -0.3145833378746396, "compression_ratio": 1.90990990990991, "no_speech_prob": 0.0, "words": [{"start": 1508.85, "end": 1509.59, "word": "وستة", "probability": 0.5059000651041666}, {"start": 1509.59, "end": 1510.33, "word": " اختبارات", "probability": 0.96826171875}, {"start": 1510.33, "end": 1510.85, "word": " من", "probability": 0.732421875}, {"start": 1510.85, "end": 1511.61, "word": " خلالها", "probability": 0.9906005859375}, {"start": 1511.61, "end": 1512.31, "word": " نقدر", "probability": 0.5439860026041666}, {"start": 1512.31, "end": 1512.69, "word": " نحكم", "probability": 0.7520345052083334}, {"start": 1512.69, "end": 1512.93, "word": " على", "probability": 0.7412109375}, {"start": 1512.93, "end": 1513.09, "word": " ال", "probability": 0.2435302734375}, {"start": 1513.09, "end": 1513.31, "word": " series", "probability": 0.54541015625}, {"start": 1513.31, "end": 1513.61, "word": " هل", "probability": 0.8193359375}, {"start": 1513.61, "end": 1513.83, "word": " هي", "probability": 0.6640625}, {"start": 1513.83, "end": 1514.31, "word": " convert", "probability": 0.489013671875}, {"start": 1514.31, "end": 1515.17, "word": " او", "probability": 0.7744140625}, {"start": 1515.17, "end": 1515.67, "word": " buy", "probability": 0.343017578125}, {"start": 1515.67, "end": 1515.81, "word": " and", "probability": 0.0933837890625}, {"start": 1515.81, "end": 1515.97, "word": " sell", "probability": 0.66357421875}, {"start": 1515.97, "end": 1516.57, "word": " في", "probability": 0.4873046875}, {"start": 1516.57, "end": 1516.71, "word": " ال", "probability": 0.77490234375}, {"start": 1516.71, "end": 1517.03, "word": " section", "probability": 0.681640625}, {"start": 1517.03, "end": 1517.31, "word": " اللي", "probability": 0.714111328125}, {"start": 1517.31, "end": 1517.55, "word": " بين", "probability": 0.97216796875}, {"start": 1517.55, "end": 1518.01, "word": " ادينا", "probability": 0.6653645833333334}, {"start": 1518.01, "end": 1518.29, "word": " بدنا", "probability": 0.501220703125}, {"start": 1518.29, "end": 1518.65, "word": " ناخد", "probability": 0.9798177083333334}, {"start": 1518.65, "end": 1519.51, "word": " اختبار", "probability": 0.979248046875}, {"start": 1519.51, "end": 1520.21, "word": " واحد", "probability": 0.987548828125}, {"start": 1520.21, "end": 1522.03, "word": " ومتسلسلة", "probability": 0.8552594866071429}, {"start": 1522.03, "end": 1522.49, "word": " واحدة", "probability": 0.94873046875}, {"start": 1522.49, "end": 1522.61, "word": " ال", "probability": 0.228271484375}, {"start": 1522.61, "end": 1522.89, "word": " series", "probability": 0.61572265625}, {"start": 1522.89, "end": 1523.63, "word": " واحدة", "probability": 0.9729817708333334}, {"start": 1523.63, "end": 1524.63, "word": " والباقية", "probability": 0.7880859375}, {"start": 1524.63, "end": 1524.83, "word": " ال", "probability": 0.63623046875}, {"start": 1524.83, "end": 1525.53, "word": " sections", "probability": 0.92919921875}, {"start": 1525.53, "end": 1527.69, "word": " القادمة", "probability": 0.9900716145833334}, {"start": 1527.69, "end": 1528.87, "word": " تمام؟", "probability": 0.6552734375}, {"start": 1528.87, "end": 1529.69, "word": " فالمهم", "probability": 0.5950520833333334}, {"start": 1529.69, "end": 1530.53, "word": " اول", "probability": 0.750244140625}, {"start": 1530.53, "end": 1531.01, "word": " series", "probability": 0.87548828125}, {"start": 1531.01, "end": 1531.25, "word": " من", "probability": 0.953125}, {"start": 1531.25, "end": 1531.45, "word": " ال", "probability": 0.8310546875}, {"start": 1531.45, "end": 1531.73, "word": " series", "probability": 0.84375}, {"start": 1531.73, "end": 1532.31, "word": " التلاتة", "probability": 0.83294677734375}, {"start": 1532.31, "end": 1532.41, "word": " اللي", "probability": 0.825927734375}, {"start": 1532.41, "end": 1532.59, "word": " بدنا", "probability": 0.80322265625}, {"start": 1532.59, "end": 1532.91, "word": " ناخدها", "probability": 0.980712890625}, {"start": 1532.91, "end": 1533.07, "word": " في", "probability": 0.86865234375}, {"start": 1533.07, "end": 1533.33, "word": " هذا", "probability": 0.71435546875}, {"start": 1533.33, "end": 1533.47, "word": " ال", "probability": 0.8671875}, {"start": 1533.47, "end": 1533.89, "word": " section", "probability": 0.7724609375}], "temperature": 1.0}, {"id": 63, "seek": 155118, "start": 1534.54, "end": 1551.18, "text": "وحدة أخدتها في تانية ثانوية أو في الصف الحادى عشر اللي هو المتسلسل الهندسية مش خدته متوالية هندسية ومتوالية عددية تانية ثانوية، مظبوط؟ سيبنا من العددية، خلينا مع الهندسية", "tokens": [2407, 24401, 3660, 5551, 9778, 3215, 2655, 11296, 8978, 6055, 7649, 10632, 38637, 7649, 2407, 10632, 34051, 8978, 31767, 5172, 21542, 18513, 7578, 6225, 46309, 13672, 1829, 31439, 9673, 2655, 3794, 1211, 3794, 1211, 2423, 3224, 41260, 3794, 10632, 37893, 16490, 3215, 2655, 3224, 44650, 2407, 6027, 10632, 8032, 41260, 3794, 10632, 4032, 2304, 2655, 2407, 6027, 10632, 6225, 3215, 3215, 10632, 6055, 7649, 10632, 38637, 7649, 2407, 10632, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 8608, 1829, 3555, 8315, 9154, 18863, 3215, 3215, 10632, 12399, 16490, 20292, 8315, 20449, 2423, 3224, 41260, 3794, 10632], "avg_logprob": -0.15218098415061831, "compression_ratio": 1.9746835443037976, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1534.54, "end": 1535.1, "word": "وحدة", "probability": 0.6587727864583334}, {"start": 1535.1, "end": 1535.72, "word": " أخدتها", "probability": 0.93603515625}, {"start": 1535.72, "end": 1535.9, "word": " في", "probability": 0.9326171875}, {"start": 1535.9, "end": 1536.22, "word": " تانية", "probability": 0.9249674479166666}, {"start": 1536.22, "end": 1536.8, "word": " ثانوية", "probability": 0.787933349609375}, {"start": 1536.8, "end": 1537.04, "word": " أو", "probability": 0.6708984375}, {"start": 1537.04, "end": 1537.2, "word": " في", "probability": 0.94775390625}, {"start": 1537.2, "end": 1537.48, "word": " الصف", "probability": 0.945068359375}, {"start": 1537.48, "end": 1538.06, "word": " الحادى", "probability": 0.6619466145833334}, {"start": 1538.06, "end": 1538.8, "word": " عشر", "probability": 0.924560546875}, {"start": 1538.8, "end": 1539.38, "word": " اللي", "probability": 0.7734375}, {"start": 1539.38, "end": 1539.54, "word": " هو", "probability": 0.68603515625}, {"start": 1539.54, "end": 1540.7, "word": " المتسلسل", "probability": 0.9156087239583334}, {"start": 1540.7, "end": 1542.1, "word": " الهندسية", "probability": 0.98466796875}, {"start": 1542.1, "end": 1542.48, "word": " مش", "probability": 0.441650390625}, {"start": 1542.48, "end": 1542.78, "word": " خدته", "probability": 0.6785888671875}, {"start": 1542.78, "end": 1543.28, "word": " متوالية", "probability": 0.887451171875}, {"start": 1543.28, "end": 1544.0, "word": " هندسية", "probability": 0.986572265625}, {"start": 1544.0, "end": 1545.1, "word": " ومتوالية", "probability": 0.9108072916666666}, {"start": 1545.1, "end": 1545.9, "word": " عددية", "probability": 0.95703125}, {"start": 1545.9, "end": 1547.04, "word": " تانية", "probability": 0.9583333333333334}, {"start": 1547.04, "end": 1547.58, "word": " ثانوية،", "probability": 0.902734375}, {"start": 1547.58, "end": 1548.42, "word": " مظبوط؟", "probability": 0.86376953125}, {"start": 1548.42, "end": 1548.78, "word": " سيبنا", "probability": 0.9739990234375}, {"start": 1548.78, "end": 1548.92, "word": " من", "probability": 0.91748046875}, {"start": 1548.92, "end": 1549.54, "word": " العددية،", "probability": 0.88623046875}, {"start": 1549.54, "end": 1549.92, "word": " خلينا", "probability": 0.8092447916666666}, {"start": 1549.92, "end": 1550.14, "word": " مع", "probability": 0.99462890625}, {"start": 1550.14, "end": 1551.18, "word": " الهندسية", "probability": 0.99384765625}], "temperature": 1.0}, {"id": 64, "seek": 157455, "start": 1551.79, "end": 1574.55, "text": "يبقى مع المتوالي الهندسي هادي من خلالها اتحكم على بعض ال series هل هي conveyed او divided كيف كتارى يبقى بدنا نيجي نذكر بمين هي ال geometric series للمتسلسلة الهندسية يبقى بدنا نيجي لل geometric series", "tokens": [1829, 3555, 4587, 7578, 20449, 9673, 2655, 2407, 6027, 1829, 2423, 3224, 41260, 3794, 1829, 8032, 995, 16254, 9154, 16490, 1211, 6027, 11296, 1975, 2655, 5016, 24793, 15844, 45030, 11242, 2423, 2638, 8032, 1211, 39896, 18053, 88, 292, 1975, 2407, 3414, 2112, 9122, 33911, 9122, 2655, 9640, 7578, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 1829, 7435, 1829, 8717, 8848, 37983, 4724, 2304, 9957, 39896, 2423, 33246, 2638, 5296, 19528, 2655, 3794, 1211, 3794, 37977, 2423, 3224, 41260, 3794, 10632, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 1829, 7435, 1829, 24976, 33246, 2638], "avg_logprob": -0.2017952119733425, "compression_ratio": 1.7362637362637363, "no_speech_prob": 0.0, "words": [{"start": 1551.79, "end": 1552.49, "word": "يبقى", "probability": 0.83935546875}, {"start": 1552.49, "end": 1553.11, "word": " مع", "probability": 0.8583984375}, {"start": 1553.11, "end": 1553.95, "word": " المتوالي", "probability": 0.91220703125}, {"start": 1553.95, "end": 1554.69, "word": " الهندسي", "probability": 0.879296875}, {"start": 1554.69, "end": 1555.19, "word": " هادي", "probability": 0.6244303385416666}, {"start": 1555.19, "end": 1555.43, "word": " من", "probability": 0.95654296875}, {"start": 1555.43, "end": 1556.19, "word": " خلالها", "probability": 0.9940185546875}, {"start": 1556.19, "end": 1556.97, "word": " اتحكم", "probability": 0.77325439453125}, {"start": 1556.97, "end": 1557.21, "word": " على", "probability": 0.6962890625}, {"start": 1557.21, "end": 1557.57, "word": " بعض", "probability": 0.982666015625}, {"start": 1557.57, "end": 1557.69, "word": " ال", "probability": 0.93505859375}, {"start": 1557.69, "end": 1557.97, "word": " series", "probability": 0.921875}, {"start": 1557.97, "end": 1558.29, "word": " هل", "probability": 0.921142578125}, {"start": 1558.29, "end": 1558.45, "word": " هي", "probability": 0.7822265625}, {"start": 1558.45, "end": 1559.23, "word": " conveyed", "probability": 0.567138671875}, {"start": 1559.23, "end": 1559.91, "word": " او", "probability": 0.84765625}, {"start": 1559.91, "end": 1560.41, "word": " divided", "probability": 0.429931640625}, {"start": 1560.41, "end": 1561.27, "word": " كيف", "probability": 0.61962890625}, {"start": 1561.27, "end": 1562.13, "word": " كتارى", "probability": 0.529541015625}, {"start": 1562.13, "end": 1562.71, "word": " يبقى", "probability": 0.9049072265625}, {"start": 1562.71, "end": 1562.97, "word": " بدنا", "probability": 0.927490234375}, {"start": 1562.97, "end": 1563.23, "word": " نيجي", "probability": 0.9681396484375}, {"start": 1563.23, "end": 1564.05, "word": " نذكر", "probability": 0.8990885416666666}, {"start": 1564.05, "end": 1565.17, "word": " بمين", "probability": 0.9850260416666666}, {"start": 1565.17, "end": 1565.65, "word": " هي", "probability": 0.93310546875}, {"start": 1565.65, "end": 1566.15, "word": " ال", "probability": 0.9794921875}, {"start": 1566.15, "end": 1566.81, "word": " geometric", "probability": 0.94091796875}, {"start": 1566.81, "end": 1567.69, "word": " series", "probability": 0.89404296875}, {"start": 1567.69, "end": 1569.45, "word": " للمتسلسلة", "probability": 0.8909040178571429}, {"start": 1569.45, "end": 1570.93, "word": " الهندسية", "probability": 0.99423828125}, {"start": 1570.93, "end": 1571.83, "word": " يبقى", "probability": 0.9686279296875}, {"start": 1571.83, "end": 1572.15, "word": " بدنا", "probability": 0.983642578125}, {"start": 1572.15, "end": 1572.53, "word": " نيجي", "probability": 0.9952392578125}, {"start": 1572.53, "end": 1572.79, "word": " لل", "probability": 0.595703125}, {"start": 1572.79, "end": 1573.57, "word": " geometric", "probability": 0.91064453125}, {"start": 1573.57, "end": 1574.55, "word": " series", "probability": 0.91845703125}], "temperature": 1.0}, {"id": 65, "seek": 160328, "start": 1590.32, "end": 1603.28, "text": "it is a series in the form بالمناسبة كلمة series هذه جامعة ومفرد", "tokens": [270, 307, 257, 2638, 294, 264, 1254, 20666, 2304, 8315, 35457, 3660, 9122, 19528, 3660, 2638, 29538, 10874, 10943, 27884, 4032, 2304, 5172, 2288, 3215], "avg_logprob": -0.2674278731529529, "compression_ratio": 1.0344827586206897, "no_speech_prob": 0.0, "words": [{"start": 1590.32, "end": 1591.32, "word": "it", "probability": 0.11846923828125}, {"start": 1591.32, "end": 1592.32, "word": " is", "probability": 0.9052734375}, {"start": 1592.32, "end": 1593.52, "word": " a", "probability": 0.974609375}, {"start": 1593.52, "end": 1594.4, "word": " series", "probability": 0.94384765625}, {"start": 1594.4, "end": 1596.48, "word": " in", "probability": 0.93798828125}, {"start": 1596.48, "end": 1596.82, "word": " the", "probability": 0.89990234375}, {"start": 1596.82, "end": 1597.24, "word": " form", "probability": 0.86767578125}, {"start": 1597.24, "end": 1600.44, "word": " بالمناسبة", "probability": 0.8587890625}, {"start": 1600.44, "end": 1600.94, "word": " كلمة", "probability": 0.94287109375}, {"start": 1600.94, "end": 1601.4, "word": " series", "probability": 0.89697265625}, {"start": 1601.4, "end": 1601.76, "word": " هذه", "probability": 0.40869140625}, {"start": 1601.76, "end": 1602.2, "word": " جامعة", "probability": 0.8759765625}, {"start": 1602.2, "end": 1603.28, "word": " ومفرد", "probability": 0.8306640625}], "temperature": 1.0}, {"id": 66, "seek": 162860, "start": 1604.44, "end": 1628.6, "text": "جمع زي المفرد نفس الكتابة يبقى نقصدها المفرد أو الجمع يبقى it is a series in the form ال A زائد AR زائد AR تربيع زائد AR تكيب زائد AR plus N ناقص واحد زائد إلى آخرين", "tokens": [7435, 2304, 3615, 30767, 1829, 9673, 5172, 2288, 3215, 8717, 36178, 33251, 2655, 16758, 3660, 7251, 3555, 4587, 7578, 8717, 4587, 9381, 3215, 11296, 9673, 5172, 2288, 3215, 34051, 25724, 2304, 3615, 7251, 3555, 4587, 7578, 309, 307, 257, 2638, 294, 264, 1254, 2423, 316, 30767, 16373, 3215, 8943, 30767, 16373, 3215, 8943, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 8943, 6055, 4117, 1829, 3555, 30767, 16373, 3215, 8943, 1804, 426, 8717, 995, 4587, 9381, 36764, 24401, 30767, 16373, 3215, 30731, 19753, 34740, 9957], "avg_logprob": -0.20974264215020572, "compression_ratio": 1.5568862275449102, "no_speech_prob": 0.0, "words": [{"start": 1604.44, "end": 1605.1, "word": "جمع", "probability": 0.6039632161458334}, {"start": 1605.1, "end": 1605.44, "word": " زي", "probability": 0.841796875}, {"start": 1605.44, "end": 1605.88, "word": " المفرد", "probability": 0.7999267578125}, {"start": 1605.88, "end": 1606.24, "word": " نفس", "probability": 0.726318359375}, {"start": 1606.24, "end": 1607.24, "word": " الكتابة", "probability": 0.98828125}, {"start": 1607.24, "end": 1607.82, "word": " يبقى", "probability": 0.83642578125}, {"start": 1607.82, "end": 1608.6, "word": " نقصدها", "probability": 0.794921875}, {"start": 1608.6, "end": 1609.08, "word": " المفرد", "probability": 0.952392578125}, {"start": 1609.08, "end": 1609.32, "word": " أو", "probability": 0.63232421875}, {"start": 1609.32, "end": 1609.8, "word": " الجمع", "probability": 0.9363606770833334}, {"start": 1609.8, "end": 1610.48, "word": " يبقى", "probability": 0.8985595703125}, {"start": 1610.48, "end": 1610.64, "word": " it", "probability": 0.50732421875}, {"start": 1610.64, "end": 1610.84, "word": " is", "probability": 0.890625}, {"start": 1610.84, "end": 1611.04, "word": " a", "probability": 0.9091796875}, {"start": 1611.04, "end": 1611.54, "word": " series", "probability": 0.87353515625}, {"start": 1611.54, "end": 1611.96, "word": " in", "probability": 0.95947265625}, {"start": 1611.96, "end": 1612.26, "word": " the", "probability": 0.91064453125}, {"start": 1612.26, "end": 1612.98, "word": " form", "probability": 0.94970703125}, {"start": 1612.98, "end": 1613.94, "word": " ال", "probability": 0.390380859375}, {"start": 1613.94, "end": 1614.52, "word": " A", "probability": 0.342529296875}, {"start": 1614.52, "end": 1615.88, "word": " زائد", "probability": 0.7303873697916666}, {"start": 1615.88, "end": 1616.7, "word": " AR", "probability": 0.7822265625}, {"start": 1616.7, "end": 1618.06, "word": " زائد", "probability": 0.9676106770833334}, {"start": 1618.06, "end": 1618.86, "word": " AR", "probability": 0.9658203125}, {"start": 1618.86, "end": 1619.78, "word": " تربيع", "probability": 0.92578125}, {"start": 1619.78, "end": 1620.76, "word": " زائد", "probability": 0.9811197916666666}, {"start": 1620.76, "end": 1621.56, "word": " AR", "probability": 0.974609375}, {"start": 1621.56, "end": 1622.46, "word": " تكيب", "probability": 0.858154296875}, {"start": 1622.46, "end": 1623.46, "word": " زائد", "probability": 0.98486328125}, {"start": 1623.46, "end": 1624.24, "word": " AR", "probability": 0.87451171875}, {"start": 1624.24, "end": 1624.96, "word": " plus", "probability": 0.05194091796875}, {"start": 1624.96, "end": 1625.38, "word": " N", "probability": 0.6708984375}, {"start": 1625.38, "end": 1626.0, "word": " ناقص", "probability": 0.9002685546875}, {"start": 1626.0, "end": 1626.6, "word": " واحد", "probability": 0.87890625}, {"start": 1626.6, "end": 1627.54, "word": " زائد", "probability": 0.9786783854166666}, {"start": 1627.54, "end": 1627.86, "word": " إلى", "probability": 0.494384765625}, {"start": 1627.86, "end": 1628.6, "word": " آخرين", "probability": 0.91650390625}], "temperature": 1.0}, {"id": 67, "seek": 165798, "start": 1629.8, "end": 1657.98, "text": "هذه ممكن اكتبها على الشكل المختصر ال A R أس N ناقص واحد من عند ال N بدها تساوي واحد إلى انفلت طيب ايش ال A و ايش ال R وما إلى ذلك خلّي بالك انا بقول N ناقص واحد وليس زائد واحد الآن بوريك ليش", "tokens": [3224, 24192, 3714, 43020, 1975, 4117, 2655, 3555, 11296, 15844, 25124, 28820, 9673, 46456, 9381, 2288, 2423, 316, 497, 5551, 3794, 426, 8717, 995, 4587, 9381, 36764, 24401, 9154, 43242, 2423, 426, 47525, 11296, 6055, 3794, 995, 45865, 36764, 24401, 30731, 16472, 5172, 1211, 2655, 23032, 1829, 3555, 1975, 1829, 8592, 2423, 316, 4032, 1975, 1829, 8592, 2423, 497, 4032, 15042, 30731, 29910, 23275, 16490, 1211, 11703, 1829, 20666, 4117, 16472, 995, 4724, 39648, 426, 8717, 995, 4587, 9381, 36764, 24401, 4032, 20292, 3794, 30767, 16373, 3215, 36764, 24401, 6024, 48506, 4724, 13063, 1829, 4117, 32239, 8592], "avg_logprob": -0.26147960004757864, "compression_ratio": 1.7540106951871657, "no_speech_prob": 0.0, "words": [{"start": 1629.8, "end": 1630.3, "word": "هذه", "probability": 0.778564453125}, {"start": 1630.3, "end": 1630.76, "word": " ممكن", "probability": 0.61376953125}, {"start": 1630.76, "end": 1631.56, "word": " اكتبها", "probability": 0.92705078125}, {"start": 1631.56, "end": 1631.88, "word": " على", "probability": 0.8515625}, {"start": 1631.88, "end": 1632.68, "word": " الشكل", "probability": 0.9130859375}, {"start": 1632.68, "end": 1634.62, "word": " المختصر", "probability": 0.9754638671875}, {"start": 1634.62, "end": 1635.6, "word": " ال", "probability": 0.5400390625}, {"start": 1635.6, "end": 1636.3, "word": " A", "probability": 0.185546875}, {"start": 1636.3, "end": 1637.06, "word": " R", "probability": 0.740234375}, {"start": 1637.06, "end": 1637.56, "word": " أس", "probability": 0.43682861328125}, {"start": 1637.56, "end": 1638.0, "word": " N", "probability": 0.728515625}, {"start": 1638.0, "end": 1638.64, "word": " ناقص", "probability": 0.9136962890625}, {"start": 1638.64, "end": 1639.24, "word": " واحد", "probability": 0.972900390625}, {"start": 1639.24, "end": 1639.78, "word": " من", "probability": 0.724609375}, {"start": 1639.78, "end": 1640.12, "word": " عند", "probability": 0.91845703125}, {"start": 1640.12, "end": 1640.42, "word": " ال", "probability": 0.96728515625}, {"start": 1640.42, "end": 1640.74, "word": " N", "probability": 0.87744140625}, {"start": 1640.74, "end": 1641.16, "word": " بدها", "probability": 0.85400390625}, {"start": 1641.16, "end": 1641.74, "word": " تساوي", "probability": 0.9638671875}, {"start": 1641.74, "end": 1642.54, "word": " واحد", "probability": 0.982421875}, {"start": 1642.54, "end": 1643.08, "word": " إلى", "probability": 0.7392578125}, {"start": 1643.08, "end": 1644.1, "word": " انفلت", "probability": 0.4102783203125}, {"start": 1644.1, "end": 1646.14, "word": " طيب", "probability": 0.8312174479166666}, {"start": 1646.14, "end": 1646.8, "word": " ايش", "probability": 0.789306640625}, {"start": 1646.8, "end": 1647.16, "word": " ال", "probability": 0.97802734375}, {"start": 1647.16, "end": 1647.56, "word": " A", "probability": 0.94384765625}, {"start": 1647.56, "end": 1647.9, "word": " و", "probability": 0.93115234375}, {"start": 1647.9, "end": 1648.3, "word": " ايش", "probability": 0.8743489583333334}, {"start": 1648.3, "end": 1648.58, "word": " ال", "probability": 0.9931640625}, {"start": 1648.58, "end": 1648.88, "word": " R", "probability": 0.9853515625}, {"start": 1648.88, "end": 1649.26, "word": " وما", "probability": 0.802490234375}, {"start": 1649.26, "end": 1649.54, "word": " إلى", "probability": 0.91650390625}, {"start": 1649.54, "end": 1650.02, "word": " ذلك", "probability": 0.994140625}, {"start": 1650.02, "end": 1650.5, "word": " خلّي", "probability": 0.7266845703125}, {"start": 1650.5, "end": 1650.82, "word": " بالك", "probability": 0.924072265625}, {"start": 1650.82, "end": 1651.14, "word": " انا", "probability": 0.3560791015625}, {"start": 1651.14, "end": 1653.68, "word": " بقول", "probability": 0.6888427734375}, {"start": 1653.68, "end": 1654.16, "word": " N", "probability": 0.61474609375}, {"start": 1654.16, "end": 1654.68, "word": " ناقص", "probability": 0.981689453125}, {"start": 1654.68, "end": 1655.2, "word": " واحد", "probability": 0.988037109375}, {"start": 1655.2, "end": 1655.78, "word": " وليس", "probability": 0.8709309895833334}, {"start": 1655.78, "end": 1656.26, "word": " زائد", "probability": 0.9103190104166666}, {"start": 1656.26, "end": 1656.66, "word": " واحد", "probability": 0.988525390625}, {"start": 1656.66, "end": 1657.02, "word": " الآن", "probability": 0.5927734375}, {"start": 1657.02, "end": 1657.6, "word": " بوريك", "probability": 0.9500732421875}, {"start": 1657.6, "end": 1657.98, "word": " ليش", "probability": 0.6932373046875}], "temperature": 1.0}, {"id": 68, "seek": 168541, "start": 1658.71, "end": 1685.41, "text": "الحد الأول فيه R، الحد التاني الـR أس واحد، الحد التاني R تربيع أقل منه بواحد، الحد الرابع A R تكييب، يعني أقل من الأربع من أقل واحد، إذا الحد النوني الـR بدأ يكون أس إناقص الواحد، تمام؟ كويس، يبقى هذا شكلها بالشكل اللي عندنا هذا", "tokens": [6027, 24401, 16247, 12610, 8978, 3224, 497, 12399, 21542, 3215, 16712, 7649, 1829, 2423, 39184, 49, 5551, 3794, 36764, 24401, 12399, 21542, 3215, 16712, 7649, 1829, 497, 6055, 2288, 21292, 3615, 5551, 4587, 1211, 9154, 3224, 4724, 14407, 24401, 12399, 21542, 3215, 34892, 16758, 3615, 316, 497, 6055, 4117, 1829, 1829, 3555, 12399, 37495, 22653, 5551, 4587, 1211, 9154, 16247, 25513, 3615, 9154, 5551, 4587, 1211, 36764, 24401, 12399, 11933, 15730, 21542, 3215, 28239, 11536, 1829, 2423, 39184, 49, 47525, 10721, 7251, 30544, 5551, 3794, 11933, 8315, 4587, 9381, 2423, 14407, 24401, 12399, 46811, 10943, 22807, 9122, 45865, 3794, 12399, 7251, 3555, 4587, 7578, 23758, 13412, 28820, 11296, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.2980769149258605, "compression_ratio": 2.1197916666666665, "no_speech_prob": 0.0, "words": [{"start": 1658.71, "end": 1659.19, "word": "الحد", "probability": 0.623291015625}, {"start": 1659.19, "end": 1659.73, "word": " الأول", "probability": 0.781005859375}, {"start": 1659.73, "end": 1660.17, "word": " فيه", "probability": 0.66943359375}, {"start": 1660.17, "end": 1661.83, "word": " R،", "probability": 0.331085205078125}, {"start": 1661.83, "end": 1662.67, "word": " الحد", "probability": 0.90869140625}, {"start": 1662.67, "end": 1663.55, "word": " التاني", "probability": 0.9090169270833334}, {"start": 1663.55, "end": 1664.15, "word": " الـR", "probability": 0.5353190104166666}, {"start": 1664.15, "end": 1664.43, "word": " أس", "probability": 0.5823974609375}, {"start": 1664.43, "end": 1665.23, "word": " واحد،", "probability": 0.9041341145833334}, {"start": 1665.23, "end": 1665.95, "word": " الحد", "probability": 0.98046875}, {"start": 1665.95, "end": 1666.61, "word": " التاني", "probability": 0.93115234375}, {"start": 1666.61, "end": 1667.23, "word": " R", "probability": 0.466552734375}, {"start": 1667.23, "end": 1668.17, "word": " تربيع", "probability": 0.7415771484375}, {"start": 1668.17, "end": 1668.57, "word": " أقل", "probability": 0.77783203125}, {"start": 1668.57, "end": 1668.91, "word": " منه", "probability": 0.7037353515625}, {"start": 1668.91, "end": 1669.75, "word": " بواحد،", "probability": 0.9395751953125}, {"start": 1669.75, "end": 1670.41, "word": " الحد", "probability": 0.986083984375}, {"start": 1670.41, "end": 1670.99, "word": " الرابع", "probability": 0.9889322916666666}, {"start": 1670.99, "end": 1671.33, "word": " A", "probability": 0.271728515625}, {"start": 1671.33, "end": 1671.77, "word": " R", "probability": 0.7158203125}, {"start": 1671.77, "end": 1673.07, "word": " تكييب،", "probability": 0.7877604166666666}, {"start": 1673.07, "end": 1673.31, "word": " يعني", "probability": 0.927490234375}, {"start": 1673.31, "end": 1673.93, "word": " أقل", "probability": 0.9759114583333334}, {"start": 1673.93, "end": 1674.21, "word": " من", "probability": 0.99609375}, {"start": 1674.21, "end": 1674.67, "word": " الأربع", "probability": 0.694580078125}, {"start": 1674.67, "end": 1674.87, "word": " من", "probability": 0.2139892578125}, {"start": 1674.87, "end": 1675.07, "word": " أقل", "probability": 0.67822265625}, {"start": 1675.07, "end": 1675.93, "word": " واحد،", "probability": 0.93017578125}, {"start": 1675.93, "end": 1676.11, "word": " إذا", "probability": 0.5101318359375}, {"start": 1676.11, "end": 1677.01, "word": " الحد", "probability": 0.827392578125}, {"start": 1677.01, "end": 1677.79, "word": " النوني", "probability": 0.8777669270833334}, {"start": 1677.79, "end": 1678.45, "word": " الـR", "probability": 0.8470052083333334}, {"start": 1678.45, "end": 1678.77, "word": " بدأ", "probability": 0.47613525390625}, {"start": 1678.77, "end": 1679.01, "word": " يكون", "probability": 0.6302490234375}, {"start": 1679.01, "end": 1679.45, "word": " أس", "probability": 0.75634765625}, {"start": 1679.45, "end": 1680.61, "word": " إناقص", "probability": 0.65228271484375}, {"start": 1680.61, "end": 1681.43, "word": " الواحد،", "probability": 0.93798828125}, {"start": 1681.43, "end": 1682.49, "word": " تمام؟", "probability": 0.7633463541666666}, {"start": 1682.49, "end": 1683.13, "word": " كويس،", "probability": 0.8831787109375}, {"start": 1683.13, "end": 1683.41, "word": " يبقى", "probability": 0.8646240234375}, {"start": 1683.41, "end": 1683.67, "word": " هذا", "probability": 0.85107421875}, {"start": 1683.67, "end": 1684.27, "word": " شكلها", "probability": 0.73291015625}, {"start": 1684.27, "end": 1684.75, "word": " بالشكل", "probability": 0.9132486979166666}, {"start": 1684.75, "end": 1684.89, "word": " اللي", "probability": 0.958251953125}, {"start": 1684.89, "end": 1685.19, "word": " عندنا", "probability": 0.82421875}, {"start": 1685.19, "end": 1685.41, "word": " هذا", "probability": 0.91162109375}], "temperature": 1.0}, {"id": 69, "seek": 170184, "start": 1686.08, "end": 1701.84, "text": "طبعا ال index اللى تحت الصماش ان عند N يساوي 1 ممكن اخلهم ان عند N يساوي 0 كيف تخليهم عند N يساوي 0؟ يعني هذا مش الشكل هذا القرآن نزل من السماء مافيش غيره", "tokens": [9566, 3555, 3615, 995, 2423, 8186, 13672, 7578, 6055, 33753, 31767, 2304, 33599, 16472, 43242, 426, 7251, 3794, 995, 45865, 502, 3714, 43020, 1975, 9778, 1211, 16095, 16472, 43242, 426, 7251, 3794, 995, 45865, 1958, 9122, 33911, 6055, 9778, 20292, 16095, 43242, 426, 7251, 3794, 995, 45865, 1958, 22807, 37495, 22653, 23758, 37893, 25124, 28820, 23758, 25062, 2288, 148, 48506, 8717, 11622, 1211, 9154, 21136, 2304, 16606, 19446, 41185, 8592, 32771, 13546, 3224], "avg_logprob": -0.21748310166436272, "compression_ratio": 1.64375, "no_speech_prob": 0.0, "words": [{"start": 1686.08, "end": 1687.06, "word": "طبعا", "probability": 0.80560302734375}, {"start": 1687.06, "end": 1687.6, "word": " ال", "probability": 0.5546875}, {"start": 1687.6, "end": 1688.18, "word": " index", "probability": 0.6748046875}, {"start": 1688.18, "end": 1688.48, "word": " اللى", "probability": 0.671142578125}, {"start": 1688.48, "end": 1688.84, "word": " تحت", "probability": 0.985595703125}, {"start": 1688.84, "end": 1689.58, "word": " الصماش", "probability": 0.739501953125}, {"start": 1689.58, "end": 1689.78, "word": " ان", "probability": 0.451171875}, {"start": 1689.78, "end": 1689.98, "word": " عند", "probability": 0.73583984375}, {"start": 1689.98, "end": 1690.18, "word": " N", "probability": 0.50732421875}, {"start": 1690.18, "end": 1690.58, "word": " يساوي", "probability": 0.8631591796875}, {"start": 1690.58, "end": 1690.76, "word": " 1", "probability": 0.6865234375}, {"start": 1690.76, "end": 1691.12, "word": " ممكن", "probability": 0.8271484375}, {"start": 1691.12, "end": 1691.66, "word": " اخلهم", "probability": 0.664794921875}, {"start": 1691.66, "end": 1691.76, "word": " ان", "probability": 0.814453125}, {"start": 1691.76, "end": 1692.0, "word": " عند", "probability": 0.96240234375}, {"start": 1692.0, "end": 1692.22, "word": " N", "probability": 0.97509765625}, {"start": 1692.22, "end": 1692.84, "word": " يساوي", "probability": 0.98828125}, {"start": 1692.84, "end": 1693.26, "word": " 0", "probability": 0.572265625}, {"start": 1693.26, "end": 1694.1, "word": " كيف", "probability": 0.82080078125}, {"start": 1694.1, "end": 1694.68, "word": " تخليهم", "probability": 0.7623291015625}, {"start": 1694.68, "end": 1694.86, "word": " عند", "probability": 0.72900390625}, {"start": 1694.86, "end": 1695.08, "word": " N", "probability": 0.92236328125}, {"start": 1695.08, "end": 1695.6, "word": " يساوي", "probability": 0.9853515625}, {"start": 1695.6, "end": 1696.46, "word": " 0؟", "probability": 0.622314453125}, {"start": 1696.46, "end": 1696.82, "word": " يعني", "probability": 0.83837890625}, {"start": 1696.82, "end": 1697.48, "word": " هذا", "probability": 0.83203125}, {"start": 1697.48, "end": 1698.16, "word": " مش", "probability": 0.9580078125}, {"start": 1698.16, "end": 1698.78, "word": " الشكل", "probability": 0.9736328125}, {"start": 1698.78, "end": 1699.12, "word": " هذا", "probability": 0.54296875}, {"start": 1699.12, "end": 1699.72, "word": " القرآن", "probability": 0.808837890625}, {"start": 1699.72, "end": 1700.12, "word": " نزل", "probability": 0.96044921875}, {"start": 1700.12, "end": 1700.32, "word": " من", "probability": 0.99365234375}, {"start": 1700.32, "end": 1700.84, "word": " السماء", "probability": 0.9684244791666666}, {"start": 1700.84, "end": 1701.32, "word": " مافيش", "probability": 0.8837890625}, {"start": 1701.32, "end": 1701.84, "word": " غيره", "probability": 0.9860026041666666}], "temperature": 1.0}, {"id": 70, "seek": 172413, "start": 1702.03, "end": 1724.13, "text": "لأ لأ بقدر اقف على الشكل التالي ال summation شو رايك لو شيلت كل انه حطيت مكانها n زائد واحد بس يده عند يمين n زائد واحد بدها تساوي واحد لمين؟ لل infinity ل A R قس N زائد واحد", "tokens": [1211, 10721, 5296, 10721, 4724, 28543, 2288, 1975, 4587, 5172, 15844, 25124, 28820, 16712, 6027, 1829, 2423, 28811, 13412, 2407, 12602, 47302, 4117, 45164, 13412, 26895, 2655, 28242, 16472, 3224, 11331, 9566, 36081, 3714, 41361, 11296, 297, 30767, 16373, 3215, 36764, 24401, 4724, 3794, 7251, 3215, 3224, 43242, 7251, 2304, 9957, 297, 30767, 16373, 3215, 36764, 24401, 47525, 11296, 6055, 3794, 995, 45865, 36764, 24401, 5296, 2304, 9957, 22807, 24976, 13202, 5296, 316, 497, 12174, 3794, 426, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.27861445711319704, "compression_ratio": 1.6123595505617978, "no_speech_prob": 0.0, "words": [{"start": 1702.03, "end": 1702.53, "word": "لأ", "probability": 0.585693359375}, {"start": 1702.53, "end": 1702.75, "word": " لأ", "probability": 0.900634765625}, {"start": 1702.75, "end": 1703.11, "word": " بقدر", "probability": 0.8876953125}, {"start": 1703.11, "end": 1703.45, "word": " اقف", "probability": 0.7708333333333334}, {"start": 1703.45, "end": 1703.75, "word": " على", "probability": 0.85400390625}, {"start": 1703.75, "end": 1704.41, "word": " الشكل", "probability": 0.93017578125}, {"start": 1704.41, "end": 1705.29, "word": " التالي", "probability": 0.9768880208333334}, {"start": 1705.29, "end": 1705.49, "word": " ال", "probability": 0.457275390625}, {"start": 1705.49, "end": 1706.13, "word": " summation", "probability": 0.465087890625}, {"start": 1706.13, "end": 1707.29, "word": " شو", "probability": 0.858154296875}, {"start": 1707.29, "end": 1707.75, "word": " رايك", "probability": 0.8935546875}, {"start": 1707.75, "end": 1708.07, "word": " لو", "probability": 0.97802734375}, {"start": 1708.07, "end": 1708.69, "word": " شيلت", "probability": 0.8828125}, {"start": 1708.69, "end": 1709.03, "word": " كل", "probability": 0.97412109375}, {"start": 1709.03, "end": 1709.49, "word": " انه", "probability": 0.635009765625}, {"start": 1709.49, "end": 1710.07, "word": " حطيت", "probability": 0.9112955729166666}, {"start": 1710.07, "end": 1710.77, "word": " مكانها", "probability": 0.9871419270833334}, {"start": 1710.77, "end": 1711.15, "word": " n", "probability": 0.49609375}, {"start": 1711.15, "end": 1711.71, "word": " زائد", "probability": 0.76025390625}, {"start": 1711.71, "end": 1712.15, "word": " واحد", "probability": 0.923583984375}, {"start": 1712.15, "end": 1712.83, "word": " بس", "probability": 0.88916015625}, {"start": 1712.83, "end": 1712.99, "word": " يده", "probability": 0.2766520182291667}, {"start": 1712.99, "end": 1713.21, "word": " عند", "probability": 0.89697265625}, {"start": 1713.21, "end": 1713.65, "word": " يمين", "probability": 0.7501627604166666}, {"start": 1713.65, "end": 1714.41, "word": " n", "probability": 0.44287109375}, {"start": 1714.41, "end": 1715.21, "word": " زائد", "probability": 0.9493815104166666}, {"start": 1715.21, "end": 1715.77, "word": " واحد", "probability": 0.990966796875}, {"start": 1715.77, "end": 1716.17, "word": " بدها", "probability": 0.91357421875}, {"start": 1716.17, "end": 1716.85, "word": " تساوي", "probability": 0.9727783203125}, {"start": 1716.85, "end": 1717.43, "word": " واحد", "probability": 0.98583984375}, {"start": 1717.43, "end": 1718.63, "word": " لمين؟", "probability": 0.583984375}, {"start": 1718.63, "end": 1718.73, "word": " لل", "probability": 0.6982421875}, {"start": 1718.73, "end": 1719.65, "word": " infinity", "probability": 0.68994140625}, {"start": 1719.65, "end": 1720.11, "word": " ل", "probability": 0.85205078125}, {"start": 1720.11, "end": 1720.47, "word": " A", "probability": 0.0894775390625}, {"start": 1720.47, "end": 1721.09, "word": " R", "probability": 0.63671875}, {"start": 1721.09, "end": 1721.49, "word": " قس", "probability": 0.4884033203125}, {"start": 1721.49, "end": 1721.97, "word": " N", "probability": 0.7109375}, {"start": 1721.97, "end": 1723.27, "word": " زائد", "probability": 0.9700520833333334}, {"start": 1723.27, "end": 1724.13, "word": " واحد", "probability": 0.990234375}], "temperature": 1.0}, {"id": 71, "seek": 175108, "start": 1724.44, "end": 1751.08, "text": "ن زائد واحد وهي الناقص واحد يعني هذه الاشي بتعطينا summation من n تساوي هات للواحد على الشجرة التانية بصير zero إلى infinity لل ar أس n فقط لا غير طب اطلعلي في الشكل اللي عندنا هذا واطلعلي في الشكل اللي عندنا هذا", "tokens": [1863, 30767, 16373, 3215, 36764, 24401, 37037, 1829, 2423, 8315, 4587, 9381, 36764, 24401, 37495, 22653, 29538, 2423, 33599, 1829, 39894, 3615, 9566, 1829, 8315, 28811, 9154, 297, 6055, 3794, 995, 45865, 8032, 9307, 24976, 14407, 24401, 15844, 25124, 7435, 25720, 16712, 7649, 10632, 4724, 9381, 13546, 4018, 30731, 13202, 24976, 594, 5551, 3794, 297, 6156, 47432, 20193, 32771, 13546, 23032, 3555, 1975, 9566, 1211, 3615, 20292, 8978, 25124, 28820, 13672, 1829, 43242, 8315, 23758, 4032, 41193, 1211, 3615, 20292, 8978, 25124, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.28546347243062564, "compression_ratio": 1.8121827411167513, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1724.44, "end": 1725.02, "word": "ن", "probability": 0.269287109375}, {"start": 1725.02, "end": 1726.08, "word": " زائد", "probability": 0.69580078125}, {"start": 1726.08, "end": 1726.62, "word": " واحد", "probability": 0.973876953125}, {"start": 1726.62, "end": 1727.26, "word": " وهي", "probability": 0.5870361328125}, {"start": 1727.26, "end": 1727.86, "word": " الناقص", "probability": 0.813720703125}, {"start": 1727.86, "end": 1728.3, "word": " واحد", "probability": 0.9775390625}, {"start": 1728.3, "end": 1729.04, "word": " يعني", "probability": 0.73779296875}, {"start": 1729.04, "end": 1729.32, "word": " هذه", "probability": 0.336181640625}, {"start": 1729.32, "end": 1729.58, "word": " الاشي", "probability": 0.52978515625}, {"start": 1729.58, "end": 1730.56, "word": " بتعطينا", "probability": 0.7392822265625}, {"start": 1730.56, "end": 1731.7, "word": " summation", "probability": 0.8056640625}, {"start": 1731.7, "end": 1732.14, "word": " من", "probability": 0.96484375}, {"start": 1732.14, "end": 1732.62, "word": " n", "probability": 0.294189453125}, {"start": 1732.62, "end": 1733.22, "word": " تساوي", "probability": 0.882568359375}, {"start": 1733.22, "end": 1733.52, "word": " هات", "probability": 0.64697265625}, {"start": 1733.52, "end": 1733.98, "word": " للواحد", "probability": 0.8719075520833334}, {"start": 1733.98, "end": 1734.18, "word": " على", "probability": 0.71435546875}, {"start": 1734.18, "end": 1734.64, "word": " الشجرة", "probability": 0.6366373697916666}, {"start": 1734.64, "end": 1735.16, "word": " التانية", "probability": 0.970703125}, {"start": 1735.16, "end": 1736.1, "word": " بصير", "probability": 0.87646484375}, {"start": 1736.1, "end": 1736.6, "word": " zero", "probability": 0.465576171875}, {"start": 1736.6, "end": 1737.06, "word": " إلى", "probability": 0.595703125}, {"start": 1737.06, "end": 1737.98, "word": " infinity", "probability": 0.82763671875}, {"start": 1737.98, "end": 1738.78, "word": " لل", "probability": 0.8515625}, {"start": 1738.78, "end": 1739.9, "word": " ar", "probability": 0.1483154296875}, {"start": 1739.9, "end": 1740.88, "word": " أس", "probability": 0.64404296875}, {"start": 1740.88, "end": 1741.36, "word": " n", "probability": 0.56103515625}, {"start": 1741.36, "end": 1742.18, "word": " فقط", "probability": 0.96728515625}, {"start": 1742.18, "end": 1742.46, "word": " لا", "probability": 0.489013671875}, {"start": 1742.46, "end": 1743.2, "word": " غير", "probability": 0.979248046875}, {"start": 1743.2, "end": 1744.84, "word": " طب", "probability": 0.82275390625}, {"start": 1744.84, "end": 1745.66, "word": " اطلعلي", "probability": 0.84345703125}, {"start": 1745.66, "end": 1745.96, "word": " في", "probability": 0.83935546875}, {"start": 1745.96, "end": 1746.46, "word": " الشكل", "probability": 0.982666015625}, {"start": 1746.46, "end": 1746.66, "word": " اللي", "probability": 0.8896484375}, {"start": 1746.66, "end": 1747.14, "word": " عندنا", "probability": 0.988525390625}, {"start": 1747.14, "end": 1747.48, "word": " هذا", "probability": 0.54638671875}, {"start": 1747.48, "end": 1749.4, "word": " واطلعلي", "probability": 0.918359375}, {"start": 1749.4, "end": 1749.56, "word": " في", "probability": 0.98193359375}, {"start": 1749.56, "end": 1750.06, "word": " الشكل", "probability": 0.98291015625}, {"start": 1750.06, "end": 1750.3, "word": " اللي", "probability": 0.989013671875}, {"start": 1750.3, "end": 1750.76, "word": " عندنا", "probability": 0.98828125}, {"start": 1750.76, "end": 1751.08, "word": " هذا", "probability": 0.990234375}], "temperature": 1.0}, {"id": 72, "seek": 177698, "start": 1752.32, "end": 1776.98, "text": "شكلهم مختلفين عن بعض، شكلا، مظبوط، لكن في الحقيقة هذه الصيغة هي هذه الصيغة بالضبط تماما، عظم الصيغة الأولى مأمنين أنها هذه طب بدأ أشوف هذه، تبدأ بال M تساوي Zero، اقرأ ال Zero بواحد، في أيه؟ هيه، بعد ال Zero مين بيجيني؟", "tokens": [8592, 28820, 16095, 3714, 46456, 46538, 9957, 18871, 45030, 11242, 12399, 13412, 28820, 995, 12399, 3714, 19913, 3555, 2407, 9566, 12399, 44381, 8978, 21542, 38436, 28671, 29538, 31767, 1829, 17082, 3660, 39896, 29538, 31767, 1829, 17082, 3660, 20666, 11242, 3555, 9566, 46811, 10943, 995, 12399, 6225, 19913, 2304, 31767, 1829, 17082, 3660, 16247, 12610, 7578, 3714, 10721, 27842, 9957, 14739, 11296, 29538, 23032, 3555, 47525, 10721, 5551, 8592, 38688, 29538, 12399, 6055, 44510, 10721, 20666, 376, 6055, 3794, 995, 45865, 17182, 12399, 1975, 4587, 2288, 10721, 2423, 17182, 4724, 14407, 24401, 12399, 8978, 36632, 3224, 22807, 39896, 3224, 12399, 39182, 2423, 17182, 3714, 9957, 4724, 1829, 7435, 9957, 1829, 22807], "avg_logprob": -0.2891328877156919, "compression_ratio": 1.8066037735849056, "no_speech_prob": 0.0, "words": [{"start": 1752.32, "end": 1752.98, "word": "شكلهم", "probability": 0.6703287760416666}, {"start": 1752.98, "end": 1753.82, "word": " مختلفين", "probability": 0.9713134765625}, {"start": 1753.82, "end": 1754.04, "word": " عن", "probability": 0.9736328125}, {"start": 1754.04, "end": 1754.76, "word": " بعض،", "probability": 0.7705078125}, {"start": 1754.76, "end": 1755.78, "word": " شكلا،", "probability": 0.6881103515625}, {"start": 1755.78, "end": 1756.8, "word": " مظبوط،", "probability": 0.897216796875}, {"start": 1756.8, "end": 1757.12, "word": " لكن", "probability": 0.97705078125}, {"start": 1757.12, "end": 1757.52, "word": " في", "probability": 0.90380859375}, {"start": 1757.52, "end": 1758.66, "word": " الحقيقة", "probability": 0.9928385416666666}, {"start": 1758.66, "end": 1759.56, "word": " هذه", "probability": 0.55810546875}, {"start": 1759.56, "end": 1760.12, "word": " الصيغة", "probability": 0.927734375}, {"start": 1760.12, "end": 1760.38, "word": " هي", "probability": 0.82666015625}, {"start": 1760.38, "end": 1760.76, "word": " هذه", "probability": 0.916015625}, {"start": 1760.76, "end": 1761.22, "word": " الصيغة", "probability": 0.990966796875}, {"start": 1761.22, "end": 1761.86, "word": " بالضبط", "probability": 0.8863525390625}, {"start": 1761.86, "end": 1763.16, "word": " تماما،", "probability": 0.8470458984375}, {"start": 1763.16, "end": 1763.48, "word": " عظم", "probability": 0.6282552083333334}, {"start": 1763.48, "end": 1763.98, "word": " الصيغة", "probability": 0.969482421875}, {"start": 1763.98, "end": 1764.36, "word": " الأولى", "probability": 0.96728515625}, {"start": 1764.36, "end": 1764.94, "word": " مأمنين", "probability": 0.7869873046875}, {"start": 1764.94, "end": 1765.26, "word": " أنها", "probability": 0.56109619140625}, {"start": 1765.26, "end": 1765.58, "word": " هذه", "probability": 0.87939453125}, {"start": 1765.58, "end": 1766.5, "word": " طب", "probability": 0.719482421875}, {"start": 1766.5, "end": 1766.74, "word": " بدأ", "probability": 0.712890625}, {"start": 1766.74, "end": 1767.02, "word": " أشوف", "probability": 0.8772786458333334}, {"start": 1767.02, "end": 1768.04, "word": " هذه،", "probability": 0.8310546875}, {"start": 1768.04, "end": 1768.48, "word": " تبدأ", "probability": 0.6717936197916666}, {"start": 1768.48, "end": 1768.64, "word": " بال", "probability": 0.94921875}, {"start": 1768.64, "end": 1768.98, "word": " M", "probability": 0.266357421875}, {"start": 1768.98, "end": 1769.56, "word": " تساوي", "probability": 0.86962890625}, {"start": 1769.56, "end": 1770.5, "word": " Zero،", "probability": 0.4979248046875}, {"start": 1770.5, "end": 1770.92, "word": " اقرأ", "probability": 0.57611083984375}, {"start": 1770.92, "end": 1771.08, "word": " ال", "probability": 0.70751953125}, {"start": 1771.08, "end": 1771.38, "word": " Zero", "probability": 0.7490234375}, {"start": 1771.38, "end": 1772.06, "word": " بواحد،", "probability": 0.8582763671875}, {"start": 1772.06, "end": 1772.24, "word": " في", "probability": 0.822265625}, {"start": 1772.24, "end": 1773.38, "word": " أيه؟", "probability": 0.8406575520833334}, {"start": 1773.38, "end": 1774.3, "word": " هيه،", "probability": 0.5215657552083334}, {"start": 1774.3, "end": 1775.84, "word": " بعد", "probability": 0.93603515625}, {"start": 1775.84, "end": 1775.98, "word": " ال", "probability": 0.6865234375}, {"start": 1775.98, "end": 1776.16, "word": " Zero", "probability": 0.81640625}, {"start": 1776.16, "end": 1776.34, "word": " مين", "probability": 0.523834228515625}, {"start": 1776.34, "end": 1776.98, "word": " بيجيني؟", "probability": 0.7900390625}], "temperature": 1.0}, {"id": 73, "seek": 180647, "start": 1797.79, "end": 1806.47, "text": "عادة تغيير الدليل لتحت الـ summation ونجيب لك بطل ال summation جد ما بدك و كلهم R equivalent", "tokens": [3615, 18513, 3660, 6055, 17082, 1829, 13546, 32748, 20292, 1211, 5296, 2655, 33753, 2423, 39184, 28811, 4032, 1863, 7435, 1829, 3555, 5296, 4117, 4724, 9566, 1211, 2423, 28811, 10874, 3215, 19446, 47525, 4117, 4032, 28242, 16095, 497, 10344], "avg_logprob": -0.48717948717948717, "compression_ratio": 1.1896551724137931, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1797.79, "end": 1798.71, "word": "عادة", "probability": 0.4047749837239583}, {"start": 1798.71, "end": 1799.63, "word": " تغيير", "probability": 0.756378173828125}, {"start": 1799.63, "end": 1800.25, "word": " الدليل", "probability": 0.8826497395833334}, {"start": 1800.25, "end": 1800.85, "word": " لتحت", "probability": 0.8346354166666666}, {"start": 1800.85, "end": 1801.03, "word": " الـ", "probability": 0.44195556640625}, {"start": 1801.03, "end": 1801.59, "word": " summation", "probability": 0.347900390625}, {"start": 1801.59, "end": 1802.51, "word": " ونجيب", "probability": 0.648291015625}, {"start": 1802.51, "end": 1802.73, "word": " لك", "probability": 0.720703125}, {"start": 1802.73, "end": 1803.03, "word": " بطل", "probability": 0.6831868489583334}, {"start": 1803.03, "end": 1803.19, "word": " ال", "probability": 0.76708984375}, {"start": 1803.19, "end": 1803.79, "word": " summation", "probability": 0.466796875}, {"start": 1803.79, "end": 1804.17, "word": " جد", "probability": 0.9111328125}, {"start": 1804.17, "end": 1804.33, "word": " ما", "probability": 0.88720703125}, {"start": 1804.33, "end": 1804.75, "word": " بدك", "probability": 0.910888671875}, {"start": 1804.75, "end": 1804.87, "word": " و", "probability": 0.9130859375}, {"start": 1804.87, "end": 1805.37, "word": " كلهم", "probability": 0.6629638671875}, {"start": 1805.37, "end": 1805.65, "word": " R", "probability": 0.39892578125}, {"start": 1805.65, "end": 1806.47, "word": " equivalent", "probability": 0.84521484375}], "temperature": 1.0}, {"id": 74, "seek": 183588, "start": 1807.06, "end": 1835.88, "text": "بتكون هم بطابقوا بعض ما علينا مش هذه مشكلة الحين انا مشكلتي مع ال geometric series طيب ال geometric series هذا هه يا شباب له ايه بسميه ال first term ايش يعني first term يعني الحد الأول في ال sequence زي ما هذا بسميه الحد النوني ال nth term في ال series اللي عندنا طيب و ال R؟", "tokens": [3555, 2655, 30544, 8032, 2304, 4724, 9566, 16758, 4587, 14407, 45030, 11242, 19446, 25894, 8315, 37893, 29538, 37893, 28820, 3660, 21542, 9957, 1975, 8315, 37893, 28820, 31371, 20449, 2423, 33246, 2638, 23032, 1829, 3555, 2423, 33246, 2638, 23758, 8032, 3224, 35186, 13412, 3555, 16758, 46740, 1975, 1829, 3224, 4724, 38251, 1829, 3224, 2423, 700, 1433, 1975, 1829, 8592, 37495, 22653, 700, 1433, 37495, 22653, 21542, 3215, 16247, 12610, 8978, 2423, 8310, 30767, 1829, 19446, 23758, 4724, 38251, 1829, 3224, 21542, 3215, 28239, 11536, 1829, 2423, 297, 392, 1433, 8978, 2423, 2638, 13672, 1829, 43242, 8315, 23032, 1829, 3555, 4032, 2423, 497, 22807], "avg_logprob": -0.21086164990675102, "compression_ratio": 1.8634361233480177, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1807.06, "end": 1807.36, "word": "بتكون", "probability": 0.458984375}, {"start": 1807.36, "end": 1807.56, "word": " هم", "probability": 0.75830078125}, {"start": 1807.56, "end": 1808.16, "word": " بطابقوا", "probability": 0.84228515625}, {"start": 1808.16, "end": 1808.5, "word": " بعض", "probability": 0.994140625}, {"start": 1808.5, "end": 1808.9, "word": " ما", "probability": 0.7783203125}, {"start": 1808.9, "end": 1809.34, "word": " علينا", "probability": 0.802978515625}, {"start": 1809.34, "end": 1809.52, "word": " مش", "probability": 0.97119140625}, {"start": 1809.52, "end": 1809.74, "word": " هذه", "probability": 0.3115234375}, {"start": 1809.74, "end": 1810.28, "word": " مشكلة", "probability": 0.8741861979166666}, {"start": 1810.28, "end": 1810.7, "word": " الحين", "probability": 0.9658203125}, {"start": 1810.7, "end": 1811.28, "word": " انا", "probability": 0.68212890625}, {"start": 1811.28, "end": 1811.92, "word": " مشكلتي", "probability": 0.97021484375}, {"start": 1811.92, "end": 1812.22, "word": " مع", "probability": 0.96923828125}, {"start": 1812.22, "end": 1812.44, "word": " ال", "probability": 0.966796875}, {"start": 1812.44, "end": 1813.12, "word": " geometric", "probability": 0.6396484375}, {"start": 1813.12, "end": 1813.94, "word": " series", "probability": 0.8916015625}, {"start": 1813.94, "end": 1814.86, "word": " طيب", "probability": 0.7999674479166666}, {"start": 1814.86, "end": 1815.16, "word": " ال", "probability": 0.9169921875}, {"start": 1815.16, "end": 1815.76, "word": " geometric", "probability": 0.95947265625}, {"start": 1815.76, "end": 1816.52, "word": " series", "probability": 0.92724609375}, {"start": 1816.52, "end": 1817.0, "word": " هذا", "probability": 0.63671875}, {"start": 1817.0, "end": 1817.5, "word": " هه", "probability": 0.50537109375}, {"start": 1817.5, "end": 1817.64, "word": " يا", "probability": 0.454833984375}, {"start": 1817.64, "end": 1818.12, "word": " شباب", "probability": 0.9912109375}, {"start": 1818.12, "end": 1818.28, "word": " له", "probability": 0.314208984375}, {"start": 1818.28, "end": 1818.78, "word": " ايه", "probability": 0.9576822916666666}, {"start": 1818.78, "end": 1820.04, "word": " بسميه", "probability": 0.937255859375}, {"start": 1820.04, "end": 1820.26, "word": " ال", "probability": 0.91650390625}, {"start": 1820.26, "end": 1821.18, "word": " first", "probability": 0.78125}, {"start": 1821.18, "end": 1821.86, "word": " term", "probability": 0.96826171875}, {"start": 1821.86, "end": 1822.56, "word": " ايش", "probability": 0.8585611979166666}, {"start": 1822.56, "end": 1822.78, "word": " يعني", "probability": 0.894775390625}, {"start": 1822.78, "end": 1823.24, "word": " first", "probability": 0.88427734375}, {"start": 1823.24, "end": 1823.88, "word": " term", "probability": 0.9765625}, {"start": 1823.88, "end": 1824.84, "word": " يعني", "probability": 0.892333984375}, {"start": 1824.84, "end": 1825.32, "word": " الحد", "probability": 0.9892578125}, {"start": 1825.32, "end": 1825.86, "word": " الأول", "probability": 0.755615234375}, {"start": 1825.86, "end": 1826.04, "word": " في", "probability": 0.96728515625}, {"start": 1826.04, "end": 1826.18, "word": " ال", "probability": 0.93701171875}, {"start": 1826.18, "end": 1826.7, "word": " sequence", "probability": 0.99365234375}, {"start": 1826.7, "end": 1827.52, "word": " زي", "probability": 0.97509765625}, {"start": 1827.52, "end": 1827.68, "word": " ما", "probability": 0.97265625}, {"start": 1827.68, "end": 1827.98, "word": " هذا", "probability": 0.75146484375}, {"start": 1827.98, "end": 1828.66, "word": " بسميه", "probability": 0.990478515625}, {"start": 1828.66, "end": 1829.3, "word": " الحد", "probability": 0.94091796875}, {"start": 1829.3, "end": 1830.1, "word": " النوني", "probability": 0.8557942708333334}, {"start": 1830.1, "end": 1830.62, "word": " ال", "probability": 0.95263671875}, {"start": 1830.62, "end": 1831.32, "word": " nth", "probability": 0.5880126953125}, {"start": 1831.32, "end": 1831.92, "word": " term", "probability": 0.97265625}, {"start": 1831.92, "end": 1832.14, "word": " في", "probability": 0.912109375}, {"start": 1832.14, "end": 1832.32, "word": " ال", "probability": 0.96533203125}, {"start": 1832.32, "end": 1832.7, "word": " series", "probability": 0.97705078125}, {"start": 1832.7, "end": 1832.94, "word": " اللي", "probability": 0.932373046875}, {"start": 1832.94, "end": 1833.4, "word": " عندنا", "probability": 0.929931640625}, {"start": 1833.4, "end": 1834.36, "word": " طيب", "probability": 0.9554036458333334}, {"start": 1834.36, "end": 1834.6, "word": " و", "probability": 0.5751953125}, {"start": 1834.6, "end": 1834.86, "word": " ال", "probability": 0.86181640625}, {"start": 1834.86, "end": 1835.88, "word": " R؟", "probability": 0.66015625}], "temperature": 1.0}, {"id": 75, "seek": 186773, "start": 1838.21, "end": 1867.73, "text": "أقولكوا تستأنى شوية اقسم الحد التانى على الحد الاول كدهش بطلع اقسم الحد التالت على التالت R اقسم الحد الرابع على التالت R يعني في الـ Geometric Series اقسم اي حد على الحد السابق له مباشرة بطلع عندنا لومين R مين هي ال R بجاند نسميها في التنوية أساس المتوالية مظلوم", "tokens": [10721, 39648, 4117, 14407, 6055, 14851, 33456, 7578, 13412, 2407, 10632, 1975, 4587, 38251, 21542, 3215, 16712, 7649, 7578, 15844, 21542, 3215, 42963, 12610, 9122, 3215, 3224, 8592, 4724, 9566, 1211, 3615, 1975, 4587, 38251, 21542, 3215, 16712, 6027, 2655, 15844, 16712, 6027, 2655, 497, 1975, 4587, 38251, 21542, 3215, 34892, 16758, 3615, 15844, 16712, 6027, 2655, 497, 37495, 22653, 8978, 2423, 39184, 2876, 29470, 13934, 1975, 4587, 38251, 1975, 1829, 11331, 3215, 15844, 21542, 3215, 21136, 16758, 4587, 46740, 3714, 3555, 33599, 25720, 4724, 9566, 1211, 3615, 43242, 8315, 5296, 20498, 9957, 497, 3714, 9957, 39896, 2423, 497, 4724, 7435, 7649, 3215, 8717, 38251, 1829, 11296, 8978, 16712, 1863, 2407, 10632, 5551, 3794, 32277, 9673, 2655, 2407, 6027, 10632, 3714, 19913, 1211, 20498], "avg_logprob": -0.23237500381469728, "compression_ratio": 2.0585585585585586, "no_speech_prob": 0.0, "words": [{"start": 1838.21, "end": 1838.93, "word": "أقولكوا", "probability": 0.3880615234375}, {"start": 1838.93, "end": 1839.51, "word": " تستأنى", "probability": 0.690887451171875}, {"start": 1839.51, "end": 1840.03, "word": " شوية", "probability": 0.9431966145833334}, {"start": 1840.03, "end": 1841.31, "word": " اقسم", "probability": 0.9337565104166666}, {"start": 1841.31, "end": 1841.87, "word": " الحد", "probability": 0.9814453125}, {"start": 1841.87, "end": 1842.37, "word": " التانى", "probability": 0.8631184895833334}, {"start": 1842.37, "end": 1842.57, "word": " على", "probability": 0.8408203125}, {"start": 1842.57, "end": 1842.93, "word": " الحد", "probability": 0.985595703125}, {"start": 1842.93, "end": 1843.35, "word": " الاول", "probability": 0.752197265625}, {"start": 1843.35, "end": 1843.75, "word": " كدهش", "probability": 0.593841552734375}, {"start": 1843.75, "end": 1844.29, "word": " بطلع", "probability": 0.814208984375}, {"start": 1844.29, "end": 1845.73, "word": " اقسم", "probability": 0.96044921875}, {"start": 1845.73, "end": 1846.23, "word": " الحد", "probability": 0.988525390625}, {"start": 1846.23, "end": 1846.73, "word": " التالت", "probability": 0.9602864583333334}, {"start": 1846.73, "end": 1846.95, "word": " على", "probability": 0.89501953125}, {"start": 1846.95, "end": 1847.65, "word": " التالت", "probability": 0.7726236979166666}, {"start": 1847.65, "end": 1848.39, "word": " R", "probability": 0.560546875}, {"start": 1848.39, "end": 1849.11, "word": " اقسم", "probability": 0.98291015625}, {"start": 1849.11, "end": 1849.47, "word": " الحد", "probability": 0.987548828125}, {"start": 1849.47, "end": 1849.93, "word": " الرابع", "probability": 0.984375}, {"start": 1849.93, "end": 1850.15, "word": " على", "probability": 0.95361328125}, {"start": 1850.15, "end": 1850.93, "word": " التالت", "probability": 0.9778645833333334}, {"start": 1850.93, "end": 1851.51, "word": " R", "probability": 0.95947265625}, {"start": 1851.51, "end": 1852.35, "word": " يعني", "probability": 0.81103515625}, {"start": 1852.35, "end": 1852.51, "word": " في", "probability": 0.8115234375}, {"start": 1852.51, "end": 1852.75, "word": " الـ", "probability": 0.763916015625}, {"start": 1852.75, "end": 1853.29, "word": " Geometric", "probability": 0.7978515625}, {"start": 1853.29, "end": 1853.85, "word": " Series", "probability": 0.6865234375}, {"start": 1853.85, "end": 1854.55, "word": " اقسم", "probability": 0.9814453125}, {"start": 1854.55, "end": 1855.01, "word": " اي", "probability": 0.6142578125}, {"start": 1855.01, "end": 1855.37, "word": " حد", "probability": 0.991943359375}, {"start": 1855.37, "end": 1855.59, "word": " على", "probability": 0.93603515625}, {"start": 1855.59, "end": 1856.05, "word": " الحد", "probability": 0.99609375}, {"start": 1856.05, "end": 1856.67, "word": " السابق", "probability": 0.9951171875}, {"start": 1856.67, "end": 1856.97, "word": " له", "probability": 0.94775390625}, {"start": 1856.97, "end": 1857.87, "word": " مباشرة", "probability": 0.9927978515625}, {"start": 1857.87, "end": 1858.85, "word": " بطلع", "probability": 0.8797607421875}, {"start": 1858.85, "end": 1859.55, "word": " عندنا", "probability": 0.646484375}, {"start": 1859.55, "end": 1860.23, "word": " لومين", "probability": 0.5987141927083334}, {"start": 1860.23, "end": 1860.71, "word": " R", "probability": 0.95068359375}, {"start": 1860.71, "end": 1861.37, "word": " مين", "probability": 0.927734375}, {"start": 1861.37, "end": 1861.59, "word": " هي", "probability": 0.71533203125}, {"start": 1861.59, "end": 1861.83, "word": " ال", "probability": 0.9853515625}, {"start": 1861.83, "end": 1862.05, "word": " R", "probability": 0.451416015625}, {"start": 1862.05, "end": 1862.47, "word": " بجاند", "probability": 0.55975341796875}, {"start": 1862.47, "end": 1862.97, "word": " نسميها", "probability": 0.83648681640625}, {"start": 1862.97, "end": 1863.11, "word": " في", "probability": 0.8369140625}, {"start": 1863.11, "end": 1863.77, "word": " التنوية", "probability": 0.8824462890625}, {"start": 1863.77, "end": 1865.01, "word": " أساس", "probability": 0.876953125}, {"start": 1865.01, "end": 1866.51, "word": " المتوالية", "probability": 0.89599609375}, {"start": 1866.51, "end": 1867.73, "word": " مظلوم", "probability": 0.659423828125}], "temperature": 1.0}, {"id": 76, "seek": 188494, "start": 1867.98, "end": 1884.94, "text": "هنا كمان هقول ان سميها النسبة ال ratio ناشر ratio لان بنجسم كل حد على الحد اللي جابله و بطلع عليها هذا الرقم يبقى كان هذه نسبة بين رقمين يبقى وال R is the ratio", "tokens": [3224, 8315, 9122, 2304, 7649, 8032, 39648, 16472, 8608, 2304, 1829, 11296, 28239, 35457, 3660, 2423, 8509, 8717, 33599, 2288, 8509, 5296, 7649, 44945, 7435, 38251, 28242, 11331, 3215, 15844, 21542, 3215, 13672, 1829, 10874, 16758, 43761, 4032, 4724, 9566, 1211, 3615, 25894, 11296, 23758, 34892, 4587, 2304, 7251, 3555, 4587, 7578, 25961, 29538, 8717, 35457, 3660, 49374, 12602, 4587, 2304, 9957, 7251, 3555, 4587, 7578, 16070, 497, 307, 264, 8509], "avg_logprob": -0.23697916294137636, "compression_ratio": 1.65625, "no_speech_prob": 0.0, "words": [{"start": 1867.98, "end": 1868.56, "word": "هنا", "probability": 0.7802734375}, {"start": 1868.56, "end": 1869.04, "word": " كمان", "probability": 0.8131510416666666}, {"start": 1869.04, "end": 1869.56, "word": " هقول", "probability": 0.68115234375}, {"start": 1869.56, "end": 1870.14, "word": " ان", "probability": 0.42236328125}, {"start": 1870.14, "end": 1870.72, "word": " سميها", "probability": 0.8018798828125}, {"start": 1870.72, "end": 1871.4, "word": " النسبة", "probability": 0.8435872395833334}, {"start": 1871.4, "end": 1871.58, "word": " ال", "probability": 0.64404296875}, {"start": 1871.58, "end": 1872.3, "word": " ratio", "probability": 0.98388671875}, {"start": 1872.3, "end": 1873.2, "word": " ناشر", "probability": 0.7464192708333334}, {"start": 1873.2, "end": 1873.54, "word": " ratio", "probability": 0.83544921875}, {"start": 1873.54, "end": 1873.78, "word": " لان", "probability": 0.776611328125}, {"start": 1873.78, "end": 1874.46, "word": " بنجسم", "probability": 0.7135416666666666}, {"start": 1874.46, "end": 1874.84, "word": " كل", "probability": 0.9814453125}, {"start": 1874.84, "end": 1875.3, "word": " حد", "probability": 0.99072265625}, {"start": 1875.3, "end": 1875.74, "word": " على", "probability": 0.77734375}, {"start": 1875.74, "end": 1876.12, "word": " الحد", "probability": 0.98388671875}, {"start": 1876.12, "end": 1876.3, "word": " اللي", "probability": 0.846435546875}, {"start": 1876.3, "end": 1876.6, "word": " جابله", "probability": 0.873046875}, {"start": 1876.6, "end": 1876.7, "word": " و", "probability": 0.447021484375}, {"start": 1876.7, "end": 1877.02, "word": " بطلع", "probability": 0.8099365234375}, {"start": 1877.02, "end": 1877.28, "word": " عليها", "probability": 0.68115234375}, {"start": 1877.28, "end": 1877.48, "word": " هذا", "probability": 0.5390625}, {"start": 1877.48, "end": 1877.86, "word": " الرقم", "probability": 0.9777018229166666}, {"start": 1877.86, "end": 1878.48, "word": " يبقى", "probability": 0.84375}, {"start": 1878.48, "end": 1878.74, "word": " كان", "probability": 0.229248046875}, {"start": 1878.74, "end": 1879.12, "word": " هذه", "probability": 0.65625}, {"start": 1879.12, "end": 1879.62, "word": " نسبة", "probability": 0.984375}, {"start": 1879.62, "end": 1879.88, "word": " بين", "probability": 0.9814453125}, {"start": 1879.88, "end": 1880.9, "word": " رقمين", "probability": 0.92626953125}, {"start": 1880.9, "end": 1882.08, "word": " يبقى", "probability": 0.9833984375}, {"start": 1882.08, "end": 1882.3, "word": " وال", "probability": 0.46484375}, {"start": 1882.3, "end": 1882.94, "word": " R", "probability": 0.64892578125}, {"start": 1882.94, "end": 1883.76, "word": " is", "probability": 0.90673828125}, {"start": 1883.76, "end": 1884.2, "word": " the", "probability": 0.8916015625}, {"start": 1884.2, "end": 1884.94, "word": " ratio", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 77, "seek": 190957, "start": 1886.67, "end": 1909.57, "text": "يبقى هي النسبة أوي للأساس كنا في الثانوية بنسميها الأساس طيب ال geometric هذه ال series converge ولا diverge يبقى باجي بقوله بدي أحط القاعدة اللي عندنا the geometric series اللي هي ال summation", "tokens": [1829, 3555, 4587, 7578, 39896, 28239, 35457, 3660, 34051, 1829, 24976, 10721, 3794, 32277, 9122, 8315, 8978, 6024, 104, 7649, 2407, 10632, 44945, 38251, 1829, 11296, 16247, 3794, 32277, 23032, 1829, 3555, 2423, 33246, 29538, 2423, 2638, 41881, 49429, 18558, 432, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 4724, 16254, 5551, 5016, 9566, 25062, 995, 22488, 3660, 13672, 1829, 43242, 8315, 264, 33246, 2638, 13672, 1829, 39896, 2423, 28811], "avg_logprob": -0.24636129483784716, "compression_ratio": 1.5913978494623655, "no_speech_prob": 0.0, "words": [{"start": 1886.67, "end": 1887.27, "word": "يبقى", "probability": 0.80084228515625}, {"start": 1887.27, "end": 1887.61, "word": " هي", "probability": 0.576171875}, {"start": 1887.61, "end": 1888.49, "word": " النسبة", "probability": 0.8935546875}, {"start": 1888.49, "end": 1888.93, "word": " أوي", "probability": 0.73046875}, {"start": 1888.93, "end": 1889.67, "word": " للأساس", "probability": 0.84283447265625}, {"start": 1889.67, "end": 1889.97, "word": " كنا", "probability": 0.79150390625}, {"start": 1889.97, "end": 1890.11, "word": " في", "probability": 0.75341796875}, {"start": 1890.11, "end": 1890.71, "word": " الثانوية", "probability": 0.8990234375}, {"start": 1890.71, "end": 1892.01, "word": " بنسميها", "probability": 0.953369140625}, {"start": 1892.01, "end": 1893.09, "word": " الأساس", "probability": 0.8759765625}, {"start": 1893.09, "end": 1893.95, "word": " طيب", "probability": 0.8015950520833334}, {"start": 1893.95, "end": 1894.17, "word": " ال", "probability": 0.92041015625}, {"start": 1894.17, "end": 1894.73, "word": " geometric", "probability": 0.73486328125}, {"start": 1894.73, "end": 1895.27, "word": " هذه", "probability": 0.51416015625}, {"start": 1895.27, "end": 1895.49, "word": " ال", "probability": 0.63037109375}, {"start": 1895.49, "end": 1895.87, "word": " series", "probability": 0.90869140625}, {"start": 1895.87, "end": 1896.83, "word": " converge", "probability": 0.75390625}, {"start": 1896.83, "end": 1897.85, "word": " ولا", "probability": 0.51806640625}, {"start": 1897.85, "end": 1898.81, "word": " diverge", "probability": 0.614501953125}, {"start": 1898.81, "end": 1899.47, "word": " يبقى", "probability": 0.9010009765625}, {"start": 1899.47, "end": 1899.85, "word": " باجي", "probability": 0.8271484375}, {"start": 1899.85, "end": 1900.39, "word": " بقوله", "probability": 0.7849934895833334}, {"start": 1900.39, "end": 1900.75, "word": " بدي", "probability": 0.7822265625}, {"start": 1900.75, "end": 1901.43, "word": " أحط", "probability": 0.7466634114583334}, {"start": 1901.43, "end": 1902.33, "word": " القاعدة", "probability": 0.9847412109375}, {"start": 1902.33, "end": 1902.49, "word": " اللي", "probability": 0.8779296875}, {"start": 1902.49, "end": 1903.11, "word": " عندنا", "probability": 0.893310546875}, {"start": 1903.11, "end": 1903.91, "word": " the", "probability": 0.355224609375}, {"start": 1903.91, "end": 1905.63, "word": " geometric", "probability": 0.84228515625}, {"start": 1905.63, "end": 1907.77, "word": " series", "probability": 0.91650390625}, {"start": 1907.77, "end": 1908.43, "word": " اللي", "probability": 0.6632080078125}, {"start": 1908.43, "end": 1908.69, "word": " هي", "probability": 0.4853515625}, {"start": 1908.69, "end": 1908.73, "word": " ال", "probability": 0.71728515625}, {"start": 1908.73, "end": 1909.57, "word": " summation", "probability": 0.90234375}], "temperature": 1.0}, {"id": 78, "seek": 193920, "start": 1910.06, "end": 1939.2, "text": "من n equal one to infinity لل a أرقص n ناقص واحد converge if ال absolute value للr أقل من الواحد الصحيح and diverge if ال absolute value للr greater than or equal to one كويس", "tokens": [27842, 297, 2681, 472, 281, 13202, 24976, 257, 5551, 2288, 4587, 9381, 297, 8717, 995, 4587, 9381, 36764, 24401, 41881, 498, 2423, 8236, 2158, 24976, 81, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 293, 18558, 432, 498, 2423, 8236, 2158, 24976, 81, 5044, 813, 420, 2681, 281, 472, 9122, 45865, 3794], "avg_logprob": -0.22963169696075575, "compression_ratio": 1.4697986577181208, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1910.06, "end": 1910.38, "word": "من", "probability": 0.10675048828125}, {"start": 1910.38, "end": 1910.8, "word": " n", "probability": 0.304931640625}, {"start": 1910.8, "end": 1911.38, "word": " equal", "probability": 0.071044921875}, {"start": 1911.38, "end": 1911.82, "word": " one", "probability": 0.68359375}, {"start": 1911.82, "end": 1912.12, "word": " to", "probability": 0.9306640625}, {"start": 1912.12, "end": 1912.96, "word": " infinity", "probability": 0.8486328125}, {"start": 1912.96, "end": 1913.68, "word": " لل", "probability": 0.6513671875}, {"start": 1913.68, "end": 1914.12, "word": " a", "probability": 0.54931640625}, {"start": 1914.12, "end": 1914.96, "word": " أرقص", "probability": 0.856201171875}, {"start": 1914.96, "end": 1915.32, "word": " n", "probability": 0.63623046875}, {"start": 1915.32, "end": 1915.92, "word": " ناقص", "probability": 0.9580078125}, {"start": 1915.92, "end": 1916.44, "word": " واحد", "probability": 0.982177734375}, {"start": 1916.44, "end": 1917.52, "word": " converge", "probability": 0.62939453125}, {"start": 1917.52, "end": 1919.18, "word": " if", "probability": 0.8857421875}, {"start": 1919.18, "end": 1920.08, "word": " ال", "probability": 0.5791015625}, {"start": 1920.08, "end": 1920.72, "word": " absolute", "probability": 0.8251953125}, {"start": 1920.72, "end": 1921.42, "word": " value", "probability": 0.98876953125}, {"start": 1921.42, "end": 1922.0, "word": " للr", "probability": 0.5528564453125}, {"start": 1922.0, "end": 1922.62, "word": " أقل", "probability": 0.9453125}, {"start": 1922.62, "end": 1922.8, "word": " من", "probability": 0.99267578125}, {"start": 1922.8, "end": 1923.36, "word": " الواحد", "probability": 0.9147135416666666}, {"start": 1923.36, "end": 1924.24, "word": " الصحيح", "probability": 0.9759521484375}, {"start": 1924.24, "end": 1925.04, "word": " and", "probability": 0.8935546875}, {"start": 1925.04, "end": 1926.54, "word": " diverge", "probability": 0.71923828125}, {"start": 1926.54, "end": 1927.08, "word": " if", "probability": 0.97021484375}, {"start": 1927.08, "end": 1927.7, "word": " ال", "probability": 0.6611328125}, {"start": 1927.7, "end": 1928.24, "word": " absolute", "probability": 0.955078125}, {"start": 1928.24, "end": 1928.78, "word": " value", "probability": 0.98876953125}, {"start": 1928.78, "end": 1929.2, "word": " للr", "probability": 0.829345703125}, {"start": 1929.2, "end": 1929.72, "word": " greater", "probability": 0.845703125}, {"start": 1929.72, "end": 1930.4, "word": " than", "probability": 0.9541015625}, {"start": 1930.4, "end": 1931.02, "word": " or", "probability": 0.96435546875}, {"start": 1931.02, "end": 1931.42, "word": " equal", "probability": 0.93505859375}, {"start": 1931.42, "end": 1931.98, "word": " to", "probability": 0.9658203125}, {"start": 1931.98, "end": 1932.6, "word": " one", "probability": 0.8447265625}, {"start": 1932.6, "end": 1939.2, "word": " كويس", "probability": 0.85595703125}], "temperature": 1.0}, {"id": 79, "seek": 195798, "start": 1941.26, "end": 1957.98, "text": "هذا يا شباب أخدته في الثانوية والكتاب رايح مثبته كمان مرة، نفس الإثبات اللي في الكتاب الثانوي، ماتغيرش، ولذلك مش هروح اتبتلج", "tokens": [3224, 15730, 35186, 13412, 3555, 16758, 5551, 9778, 3215, 47395, 8978, 6024, 104, 7649, 2407, 10632, 16070, 4117, 2655, 16758, 12602, 47302, 5016, 50113, 3555, 2655, 3224, 9122, 2304, 7649, 3714, 25720, 12399, 8717, 36178, 33688, 12984, 3555, 9307, 13672, 1829, 8978, 33251, 2655, 16758, 6024, 104, 7649, 45865, 12399, 19446, 2655, 17082, 13546, 8592, 12399, 35525, 8848, 23275, 37893, 8032, 32887, 5016, 1975, 2655, 3555, 2655, 1211, 7435], "avg_logprob": -0.18950893112591335, "compression_ratio": 1.6569343065693432, "no_speech_prob": 0.0, "words": [{"start": 1941.26, "end": 1941.74, "word": "هذا", "probability": 0.966064453125}, {"start": 1941.74, "end": 1941.9, "word": " يا", "probability": 0.83740234375}, {"start": 1941.9, "end": 1942.32, "word": " شباب", "probability": 0.9853515625}, {"start": 1942.32, "end": 1943.24, "word": " أخدته", "probability": 0.8067626953125}, {"start": 1943.24, "end": 1943.42, "word": " في", "probability": 0.91943359375}, {"start": 1943.42, "end": 1944.4, "word": " الثانوية", "probability": 0.946484375}, {"start": 1944.4, "end": 1946.2, "word": " والكتاب", "probability": 0.83319091796875}, {"start": 1946.2, "end": 1946.98, "word": " رايح", "probability": 0.9656575520833334}, {"start": 1946.98, "end": 1948.1, "word": " مثبته", "probability": 0.8515625}, {"start": 1948.1, "end": 1948.68, "word": " كمان", "probability": 0.9449869791666666}, {"start": 1948.68, "end": 1949.66, "word": " مرة،", "probability": 0.788818359375}, {"start": 1949.66, "end": 1949.98, "word": " نفس", "probability": 0.99462890625}, {"start": 1949.98, "end": 1950.74, "word": " الإثبات", "probability": 0.9097900390625}, {"start": 1950.74, "end": 1950.94, "word": " اللي", "probability": 0.8974609375}, {"start": 1950.94, "end": 1951.06, "word": " في", "probability": 0.916015625}, {"start": 1951.06, "end": 1951.44, "word": " الكتاب", "probability": 0.8494466145833334}, {"start": 1951.44, "end": 1952.62, "word": " الثانوي،", "probability": 0.91396484375}, {"start": 1952.62, "end": 1955.28, "word": " ماتغيرش،", "probability": 0.8068440755208334}, {"start": 1955.28, "end": 1956.2, "word": " ولذلك", "probability": 0.9104817708333334}, {"start": 1956.2, "end": 1956.84, "word": " مش", "probability": 0.96240234375}, {"start": 1956.84, "end": 1957.22, "word": " هروح", "probability": 0.9329427083333334}, {"start": 1957.22, "end": 1957.98, "word": " اتبتلج", "probability": 0.5251057942708334}], "temperature": 1.0}, {"id": 80, "seek": 197811, "start": 1958.17, "end": 1978.11, "text": "بدأت تحطها في دماغها القاعدة لإنه بدنا نبدأ نشتغل بها إن الـ Geometric Caddy Series Converged إذا الأساس تبعها أقل من واحد صحيح يعني محصور بين مين ومين، بين واحد وسالب واحد وDiverged إذا كان الارتو ساوي واحد أو", "tokens": [3555, 3215, 10721, 2655, 6055, 5016, 9566, 11296, 8978, 11778, 2304, 5718, 118, 11296, 25062, 995, 22488, 3660, 5296, 28814, 1863, 3224, 47525, 8315, 8717, 44510, 10721, 8717, 8592, 2655, 17082, 1211, 4724, 11296, 36145, 2423, 39184, 2876, 29470, 22323, 3173, 13934, 2656, 331, 3004, 11933, 15730, 16247, 3794, 32277, 6055, 3555, 3615, 11296, 5551, 4587, 1211, 9154, 36764, 24401, 20328, 5016, 1829, 5016, 37495, 22653, 3714, 5016, 9381, 13063, 49374, 3714, 9957, 4032, 2304, 9957, 12399, 49374, 36764, 24401, 4032, 3794, 6027, 3555, 36764, 24401, 4032, 35, 1837, 3004, 11933, 15730, 25961, 2423, 9640, 2655, 2407, 8608, 995, 45865, 36764, 24401, 34051], "avg_logprob": -0.3143028966509379, "compression_ratio": 1.5898617511520738, "no_speech_prob": 0.0, "words": [{"start": 1958.17, "end": 1958.95, "word": "بدأت", "probability": 0.3988800048828125}, {"start": 1958.95, "end": 1959.45, "word": " تحطها", "probability": 0.5960693359375}, {"start": 1959.45, "end": 1959.57, "word": " في", "probability": 0.8330078125}, {"start": 1959.57, "end": 1960.05, "word": " دماغها", "probability": 0.891015625}, {"start": 1960.05, "end": 1960.55, "word": " القاعدة", "probability": 0.947265625}, {"start": 1960.55, "end": 1960.79, "word": " لإنه", "probability": 0.59625244140625}, {"start": 1960.79, "end": 1961.05, "word": " بدنا", "probability": 0.64111328125}, {"start": 1961.05, "end": 1961.49, "word": " نبدأ", "probability": 0.9462890625}, {"start": 1961.49, "end": 1962.69, "word": " نشتغل", "probability": 0.96826171875}, {"start": 1962.69, "end": 1962.99, "word": " بها", "probability": 0.84228515625}, {"start": 1962.99, "end": 1963.53, "word": " إن", "probability": 0.26611328125}, {"start": 1963.53, "end": 1963.81, "word": " الـ", "probability": 0.727294921875}, {"start": 1963.81, "end": 1964.35, "word": " Geometric", "probability": 0.78466796875}, {"start": 1964.35, "end": 1964.77, "word": " Caddy", "probability": 0.41845703125}, {"start": 1964.77, "end": 1965.13, "word": " Series", "probability": 0.86767578125}, {"start": 1965.13, "end": 1966.37, "word": " Converged", "probability": 0.5721028645833334}, {"start": 1966.37, "end": 1966.73, "word": " إذا", "probability": 0.92578125}, {"start": 1966.73, "end": 1967.57, "word": " الأساس", "probability": 0.9591471354166666}, {"start": 1967.57, "end": 1968.31, "word": " تبعها", "probability": 0.9412841796875}, {"start": 1968.31, "end": 1969.01, "word": " أقل", "probability": 0.9754231770833334}, {"start": 1969.01, "end": 1969.19, "word": " من", "probability": 0.9931640625}, {"start": 1969.19, "end": 1969.41, "word": " واحد", "probability": 0.832763671875}, {"start": 1969.41, "end": 1969.83, "word": " صحيح", "probability": 0.82208251953125}, {"start": 1969.83, "end": 1970.07, "word": " يعني", "probability": 0.810791015625}, {"start": 1970.07, "end": 1970.97, "word": " محصور", "probability": 0.8875732421875}, {"start": 1970.97, "end": 1971.55, "word": " بين", "probability": 0.8974609375}, {"start": 1971.55, "end": 1971.75, "word": " مين", "probability": 0.6748046875}, {"start": 1971.75, "end": 1972.75, "word": " ومين،", "probability": 0.719970703125}, {"start": 1972.75, "end": 1972.97, "word": " بين", "probability": 0.7333984375}, {"start": 1972.97, "end": 1973.37, "word": " واحد", "probability": 0.97607421875}, {"start": 1973.37, "end": 1973.85, "word": " وسالب", "probability": 0.6922607421875}, {"start": 1973.85, "end": 1974.07, "word": " واحد", "probability": 0.9814453125}, {"start": 1974.07, "end": 1975.31, "word": " وDiverged", "probability": 0.6226806640625}, {"start": 1975.31, "end": 1975.83, "word": " إذا", "probability": 0.934326171875}, {"start": 1975.83, "end": 1976.17, "word": " كان", "probability": 0.984375}, {"start": 1976.17, "end": 1976.81, "word": " الارتو", "probability": 0.61224365234375}, {"start": 1976.81, "end": 1977.09, "word": " ساوي", "probability": 0.724609375}, {"start": 1977.09, "end": 1977.59, "word": " واحد", "probability": 0.984130859375}, {"start": 1977.59, "end": 1978.11, "word": " أو", "probability": 0.70458984375}], "temperature": 1.0}, {"id": 81, "seek": 200804, "start": 1978.44, "end": 2008.04, "text": "أكبر من الواحد الصحيح أو أصغر من سالب واحد صحيح تمام؟ يبقى بواسطته بنقدر نحكم على series، converts أو بذر طب لو افترض ما انها convert مش اللي هى مجموعة بده يكون حد مش ذاكر مثلوية كده مجموعة متسلسلة أندفية لانهائية التنازلية يلا بالمرة كمان كدهش", "tokens": [10721, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 34051, 5551, 9381, 17082, 2288, 9154, 8608, 6027, 3555, 36764, 24401, 20328, 5016, 1829, 5016, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 4724, 14407, 3794, 9566, 47395, 44945, 28543, 2288, 8717, 5016, 24793, 15844, 2638, 12399, 38874, 34051, 4724, 8848, 2288, 23032, 3555, 45164, 1975, 5172, 2655, 43042, 19446, 16472, 11296, 7620, 37893, 13672, 1829, 8032, 7578, 3714, 7435, 2304, 2407, 27884, 47525, 3224, 7251, 30544, 11331, 3215, 37893, 29910, 995, 37983, 50113, 1211, 2407, 10632, 9122, 3215, 3224, 3714, 7435, 2304, 2407, 27884, 44650, 3794, 1211, 3794, 37977, 14739, 3215, 5172, 10632, 5296, 7649, 3224, 16373, 10632, 16712, 1863, 31377, 1211, 10632, 7251, 15040, 20666, 2304, 25720, 9122, 2304, 7649, 9122, 3215, 3224, 8592], "avg_logprob": -0.2591043180368078, "compression_ratio": 1.7366255144032923, "no_speech_prob": 0.0, "words": [{"start": 1978.44, "end": 1979.24, "word": "أكبر", "probability": 0.77587890625}, {"start": 1979.24, "end": 1979.5, "word": " من", "probability": 0.984375}, {"start": 1979.5, "end": 1980.18, "word": " الواحد", "probability": 0.9593098958333334}, {"start": 1980.18, "end": 1980.92, "word": " الصحيح", "probability": 0.9090576171875}, {"start": 1980.92, "end": 1981.72, "word": " أو", "probability": 0.85498046875}, {"start": 1981.72, "end": 1982.56, "word": " أصغر", "probability": 0.9527587890625}, {"start": 1982.56, "end": 1982.8, "word": " من", "probability": 0.9931640625}, {"start": 1982.8, "end": 1983.34, "word": " سالب", "probability": 0.9090169270833334}, {"start": 1983.34, "end": 1983.72, "word": " واحد", "probability": 0.99267578125}, {"start": 1983.72, "end": 1984.24, "word": " صحيح", "probability": 0.9603271484375}, {"start": 1984.24, "end": 1985.34, "word": " تمام؟", "probability": 0.701171875}, {"start": 1985.34, "end": 1985.86, "word": " يبقى", "probability": 0.9571533203125}, {"start": 1985.86, "end": 1986.56, "word": " بواسطته", "probability": 0.8982421875}, {"start": 1986.56, "end": 1987.06, "word": " بنقدر", "probability": 0.7416585286458334}, {"start": 1987.06, "end": 1987.44, "word": " نحكم", "probability": 0.80224609375}, {"start": 1987.44, "end": 1987.72, "word": " على", "probability": 0.88232421875}, {"start": 1987.72, "end": 1988.4, "word": " series،", "probability": 0.4891357421875}, {"start": 1988.4, "end": 1988.96, "word": " converts", "probability": 0.2900390625}, {"start": 1988.96, "end": 1989.3, "word": " أو", "probability": 0.71826171875}, {"start": 1989.3, "end": 1989.68, "word": " بذر", "probability": 0.23518880208333334}, {"start": 1989.68, "end": 1990.28, "word": " طب", "probability": 0.82373046875}, {"start": 1990.28, "end": 1990.52, "word": " لو", "probability": 0.9775390625}, {"start": 1990.52, "end": 1991.04, "word": " افترض", "probability": 0.982666015625}, {"start": 1991.04, "end": 1991.26, "word": " ما", "probability": 0.7041015625}, {"start": 1991.26, "end": 1991.58, "word": " انها", "probability": 0.6875}, {"start": 1991.58, "end": 1992.46, "word": " convert", "probability": 0.8505859375}, {"start": 1992.46, "end": 1993.14, "word": " مش", "probability": 0.68896484375}, {"start": 1993.14, "end": 1993.36, "word": " اللي", "probability": 0.9296875}, {"start": 1993.36, "end": 1993.5, "word": " هى", "probability": 0.59375}, {"start": 1993.5, "end": 1993.98, "word": " مجموعة", "probability": 0.94033203125}, {"start": 1993.98, "end": 1994.38, "word": " بده", "probability": 0.4918212890625}, {"start": 1994.38, "end": 1994.86, "word": " يكون", "probability": 0.986328125}, {"start": 1994.86, "end": 1996.04, "word": " حد", "probability": 0.651611328125}, {"start": 1996.04, "end": 1996.28, "word": " مش", "probability": 0.49365234375}, {"start": 1996.28, "end": 1996.62, "word": " ذاكر", "probability": 0.7405598958333334}, {"start": 1996.62, "end": 1997.44, "word": " مثلوية", "probability": 0.7802734375}, {"start": 1997.44, "end": 1997.92, "word": " كده", "probability": 0.732177734375}, {"start": 1997.92, "end": 1998.74, "word": " مجموعة", "probability": 0.8802734375}, {"start": 1998.74, "end": 1999.84, "word": " متسلسلة", "probability": 0.878125}, {"start": 1999.84, "end": 2000.84, "word": " أندفية", "probability": 0.6722412109375}, {"start": 2000.84, "end": 2002.1, "word": " لانهائية", "probability": 0.90849609375}, {"start": 2002.1, "end": 2005.84, "word": " التنازلية", "probability": 0.92587890625}, {"start": 2005.84, "end": 2006.16, "word": " يلا", "probability": 0.688720703125}, {"start": 2006.16, "end": 2006.76, "word": " بالمرة", "probability": 0.9293619791666666}, {"start": 2006.76, "end": 2007.46, "word": " كمان", "probability": 0.8243815104166666}, {"start": 2007.46, "end": 2008.04, "word": " كدهش", "probability": 0.867919921875}], "temperature": 1.0}, {"id": 82, "seek": 201528, "start": 2008.76, "end": 2015.28, "text": "واحد طب انا بقول اثنين كيف؟", "tokens": [14407, 24401, 23032, 3555, 1975, 8315, 4724, 39648, 1975, 12984, 1863, 9957, 9122, 33911, 22807], "avg_logprob": -0.32446288503706455, "compression_ratio": 0.875, "no_speech_prob": 0.0, "words": [{"start": 2008.76, "end": 2009.4, "word": "واحد", "probability": 0.713134765625}, {"start": 2009.4, "end": 2010.42, "word": " طب", "probability": 0.7490234375}, {"start": 2010.42, "end": 2010.54, "word": " انا", "probability": 0.56378173828125}, {"start": 2010.54, "end": 2010.78, "word": " بقول", "probability": 0.81494140625}, {"start": 2010.78, "end": 2011.36, "word": " اثنين", "probability": 0.8641357421875}, {"start": 2011.36, "end": 2015.28, "word": " كيف؟", "probability": 0.794921875}], "temperature": 1.0}, {"id": 83, "seek": 204378, "start": 2018.28, "end": 2043.78, "text": "لأ، شوف اتكلمش عن المتسلسلة العادية، انا اتكلم عن المتسلسلة اللانهائية، هذه كلمة ذاكرة فيها كان دي ميساوي ألف ريح و أسنون ناقص واحد على ريح ناقص واحد أو ألف واحد ناقص ريح و أسنون على واحد ناقص ريح، حسب ريح أكبر واحد صحيح ولا أصلا، احنا بنتكلم الآن على اللانهائية، حد ميزكر؟", "tokens": [1211, 10721, 12399, 13412, 38688, 1975, 2655, 4117, 19528, 8592, 18871, 9673, 2655, 3794, 1211, 3794, 37977, 18863, 18513, 10632, 12399, 1975, 8315, 1975, 2655, 4117, 19528, 18871, 9673, 2655, 3794, 1211, 3794, 37977, 13672, 7649, 3224, 16373, 10632, 12399, 29538, 9122, 19528, 3660, 29910, 995, 4117, 25720, 8978, 11296, 25961, 11778, 1829, 3714, 1829, 3794, 995, 45865, 5551, 46538, 12602, 1829, 5016, 4032, 5551, 3794, 1863, 11536, 8717, 995, 4587, 9381, 36764, 24401, 15844, 12602, 1829, 5016, 8717, 995, 4587, 9381, 36764, 24401, 34051, 5551, 46538, 36764, 24401, 8717, 995, 4587, 9381, 12602, 1829, 5016, 4032, 5551, 3794, 1863, 11536, 15844, 36764, 24401, 8717, 995, 4587, 9381, 12602, 1829, 5016, 12399, 11331, 35457, 12602, 1829, 5016, 5551, 4117, 26890, 36764, 24401, 20328, 5016, 1829, 5016, 49429, 5551, 9381, 15040, 12399, 1975, 5016, 8315, 4724, 29399, 4117, 19528, 6024, 48506, 15844, 13672, 7649, 3224, 16373, 10632, 12399, 11331, 3215, 3714, 1829, 11622, 37983, 22807], "avg_logprob": -0.2135080575942993, "compression_ratio": 2.375, "no_speech_prob": 0.0, "words": [{"start": 2018.28, "end": 2018.82, "word": "لأ،", "probability": 0.5806477864583334}, {"start": 2018.82, "end": 2018.94, "word": " شوف", "probability": 0.50634765625}, {"start": 2018.94, "end": 2019.74, "word": " اتكلمش", "probability": 0.853515625}, {"start": 2019.74, "end": 2019.96, "word": " عن", "probability": 0.9814453125}, {"start": 2019.96, "end": 2021.44, "word": " المتسلسلة", "probability": 0.9462890625}, {"start": 2021.44, "end": 2022.88, "word": " العادية،", "probability": 0.9266357421875}, {"start": 2022.88, "end": 2022.9, "word": " انا", "probability": 0.81787109375}, {"start": 2022.9, "end": 2023.12, "word": " اتكلم", "probability": 0.790252685546875}, {"start": 2023.12, "end": 2023.3, "word": " عن", "probability": 0.99609375}, {"start": 2023.3, "end": 2024.18, "word": " المتسلسلة", "probability": 0.927001953125}, {"start": 2024.18, "end": 2025.78, "word": " اللانهائية،", "probability": 0.8429361979166666}, {"start": 2025.78, "end": 2026.94, "word": " هذه", "probability": 0.53271484375}, {"start": 2026.94, "end": 2027.42, "word": " كلمة", "probability": 0.8694661458333334}, {"start": 2027.42, "end": 2027.8, "word": " ذاكرة", "probability": 0.53619384765625}, {"start": 2027.8, "end": 2028.06, "word": " فيها", "probability": 0.76171875}, {"start": 2028.06, "end": 2028.38, "word": " كان", "probability": 0.638671875}, {"start": 2028.38, "end": 2028.6, "word": " دي", "probability": 0.43243408203125}, {"start": 2028.6, "end": 2029.02, "word": " ميساوي", "probability": 0.6603515625}, {"start": 2029.02, "end": 2029.34, "word": " ألف", "probability": 0.81689453125}, {"start": 2029.34, "end": 2029.54, "word": " ريح", "probability": 0.640380859375}, {"start": 2029.54, "end": 2029.6, "word": " و", "probability": 0.58203125}, {"start": 2029.6, "end": 2029.94, "word": " أسنون", "probability": 0.8782958984375}, {"start": 2029.94, "end": 2030.3, "word": " ناقص", "probability": 0.9588623046875}, {"start": 2030.3, "end": 2030.6, "word": " واحد", "probability": 0.987548828125}, {"start": 2030.6, "end": 2030.8, "word": " على", "probability": 0.7216796875}, {"start": 2030.8, "end": 2031.04, "word": " ريح", "probability": 0.8933919270833334}, {"start": 2031.04, "end": 2031.42, "word": " ناقص", "probability": 0.9945068359375}, {"start": 2031.42, "end": 2031.76, "word": " واحد", "probability": 0.98828125}, {"start": 2031.76, "end": 2032.48, "word": " أو", "probability": 0.63671875}, {"start": 2032.48, "end": 2033.06, "word": " ألف", "probability": 0.972412109375}, {"start": 2033.06, "end": 2033.62, "word": " واحد", "probability": 0.97412109375}, {"start": 2033.62, "end": 2034.18, "word": " ناقص", "probability": 0.9931640625}, {"start": 2034.18, "end": 2034.44, "word": " ريح", "probability": 0.99560546875}, {"start": 2034.44, "end": 2034.52, "word": " و", "probability": 0.822265625}, {"start": 2034.52, "end": 2035.0, "word": " أسنون", "probability": 0.966796875}, {"start": 2035.0, "end": 2035.26, "word": " على", "probability": 0.91650390625}, {"start": 2035.26, "end": 2035.66, "word": " واحد", "probability": 0.99658203125}, {"start": 2035.66, "end": 2036.14, "word": " ناقص", "probability": 0.9971923828125}, {"start": 2036.14, "end": 2036.62, "word": " ريح،", "probability": 0.9083251953125}, {"start": 2036.62, "end": 2037.0, "word": " حسب", "probability": 0.979736328125}, {"start": 2037.0, "end": 2037.26, "word": " ريح", "probability": 0.9900716145833334}, {"start": 2037.26, "end": 2037.62, "word": " أكبر", "probability": 0.93115234375}, {"start": 2037.62, "end": 2037.92, "word": " واحد", "probability": 0.948486328125}, {"start": 2037.92, "end": 2038.36, "word": " صحيح", "probability": 0.924560546875}, {"start": 2038.36, "end": 2038.54, "word": " ولا", "probability": 0.7880859375}, {"start": 2038.54, "end": 2039.66, "word": " أصلا،", "probability": 0.7978515625}, {"start": 2039.66, "end": 2040.04, "word": " احنا", "probability": 0.8772786458333334}, {"start": 2040.04, "end": 2040.56, "word": " بنتكلم", "probability": 0.857666015625}, {"start": 2040.56, "end": 2041.18, "word": " الآن", "probability": 0.7509765625}, {"start": 2041.18, "end": 2041.54, "word": " على", "probability": 0.83642578125}, {"start": 2041.54, "end": 2042.44, "word": " اللانهائية،", "probability": 0.8647054036458334}, {"start": 2042.44, "end": 2042.56, "word": " حد", "probability": 0.69677734375}, {"start": 2042.56, "end": 2043.78, "word": " ميزكر؟", "probability": 0.674609375}], "temperature": 1.0}, {"id": 84, "seek": 206828, "start": 2044.54, "end": 2068.28, "text": "بالمرة ولا واحد؟ يبقى .. بنقول المجموع يساوي الحد الأول على واحد ما قص الأساس باشي؟ يبقى F ده Geometric والله خدتوه حليته مسائل كتير إذا نزلها F ده Geometric Series", "tokens": [3555, 45340, 25720, 49429, 36764, 24401, 22807, 7251, 3555, 4587, 7578, 4386, 44945, 39648, 9673, 7435, 2304, 45367, 7251, 3794, 995, 45865, 21542, 3215, 16247, 12610, 15844, 36764, 24401, 19446, 12174, 9381, 16247, 3794, 32277, 4724, 33599, 1829, 22807, 7251, 3555, 4587, 7578, 479, 11778, 3224, 2876, 29470, 16070, 43761, 16490, 3215, 2655, 2407, 3224, 11331, 20292, 47395, 47524, 16373, 1211, 9122, 2655, 13546, 11933, 15730, 8717, 11622, 1211, 11296, 479, 11778, 3224, 2876, 29470, 13934], "avg_logprob": -0.2786120238242211, "compression_ratio": 1.5517241379310345, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2044.54, "end": 2045.16, "word": "بالمرة", "probability": 0.7775065104166666}, {"start": 2045.16, "end": 2045.38, "word": " ولا", "probability": 0.8232421875}, {"start": 2045.38, "end": 2046.0, "word": " واحد؟", "probability": 0.8772786458333334}, {"start": 2046.0, "end": 2047.56, "word": " يبقى", "probability": 0.91552734375}, {"start": 2047.56, "end": 2047.62, "word": " ..", "probability": 0.3154296875}, {"start": 2047.62, "end": 2048.36, "word": " بنقول", "probability": 0.835693359375}, {"start": 2048.36, "end": 2049.14, "word": " المجموع", "probability": 0.9337158203125}, {"start": 2049.14, "end": 2049.68, "word": " يساوي", "probability": 0.7899169921875}, {"start": 2049.68, "end": 2050.36, "word": " الحد", "probability": 0.98974609375}, {"start": 2050.36, "end": 2051.24, "word": " الأول", "probability": 0.939697265625}, {"start": 2051.24, "end": 2051.56, "word": " على", "probability": 0.8828125}, {"start": 2051.56, "end": 2052.2, "word": " واحد", "probability": 0.99169921875}, {"start": 2052.2, "end": 2052.48, "word": " ما", "probability": 0.88037109375}, {"start": 2052.48, "end": 2052.98, "word": " قص", "probability": 0.852294921875}, {"start": 2052.98, "end": 2054.52, "word": " الأساس", "probability": 0.84423828125}, {"start": 2054.52, "end": 2056.38, "word": " باشي؟", "probability": 0.621826171875}, {"start": 2056.38, "end": 2057.38, "word": " يبقى", "probability": 0.993896484375}, {"start": 2057.38, "end": 2057.98, "word": " F", "probability": 0.71435546875}, {"start": 2057.98, "end": 2060.24, "word": " ده", "probability": 0.5308837890625}, {"start": 2060.24, "end": 2062.26, "word": " Geometric", "probability": 0.721923828125}, {"start": 2062.26, "end": 2063.02, "word": " والله", "probability": 0.7222900390625}, {"start": 2063.02, "end": 2063.5, "word": " خدتوه", "probability": 0.70732421875}, {"start": 2063.5, "end": 2063.88, "word": " حليته", "probability": 0.7765299479166666}, {"start": 2063.88, "end": 2064.62, "word": " مسائل", "probability": 0.5670572916666666}, {"start": 2064.62, "end": 2065.02, "word": " كتير", "probability": 0.9772135416666666}, {"start": 2065.02, "end": 2065.26, "word": " إذا", "probability": 0.58416748046875}, {"start": 2065.26, "end": 2065.88, "word": " نزلها", "probability": 0.8748779296875}, {"start": 2065.88, "end": 2066.72, "word": " F", "probability": 0.58203125}, {"start": 2066.72, "end": 2066.92, "word": " ده", "probability": 0.91259765625}, {"start": 2066.92, "end": 2067.68, "word": " Geometric", "probability": 0.923583984375}, {"start": 2067.68, "end": 2068.28, "word": " Series", "probability": 0.474365234375}], "temperature": 1.0}, {"id": 85, "seek": 209196, "start": 2083.1, "end": 2091.96, "text": "المجموعة تبعها هديله الرمز is يساوي الحد الأول على راحة ناقص الأساس", "tokens": [6027, 2304, 7435, 2304, 2407, 27884, 6055, 3555, 3615, 11296, 8032, 16254, 43761, 34892, 2304, 11622, 307, 7251, 3794, 995, 45865, 21542, 3215, 16247, 12610, 15844, 12602, 39319, 3660, 8717, 995, 4587, 9381, 16247, 3794, 32277], "avg_logprob": -0.3186233204764289, "compression_ratio": 1.2736842105263158, "no_speech_prob": 0.0, "words": [{"start": 2083.1000000000004, "end": 2084.34, "word": "المجموعة", "probability": 0.616729736328125}, {"start": 2084.34, "end": 2084.9, "word": " تبعها", "probability": 0.7069091796875}, {"start": 2084.9, "end": 2085.4, "word": " هديله", "probability": 0.3987630208333333}, {"start": 2085.4, "end": 2085.94, "word": " الرمز", "probability": 0.9825846354166666}, {"start": 2085.94, "end": 2086.4, "word": " is", "probability": 0.467529296875}, {"start": 2086.4, "end": 2087.64, "word": " يساوي", "probability": 0.890625}, {"start": 2087.64, "end": 2088.24, "word": " الحد", "probability": 0.985595703125}, {"start": 2088.24, "end": 2089.04, "word": " الأول", "probability": 0.958251953125}, {"start": 2089.04, "end": 2089.68, "word": " على", "probability": 0.89111328125}, {"start": 2089.68, "end": 2090.18, "word": " راحة", "probability": 0.8681640625}, {"start": 2090.18, "end": 2090.84, "word": " ناقص", "probability": 0.9873046875}, {"start": 2090.84, "end": 2091.96, "word": " الأساس", "probability": 0.9441731770833334}], "temperature": 1.0}, {"id": 86, "seek": 211494, "start": 2092.62, "end": 2114.94, "text": "بجيت و اذاكرك جيم نون يسوى ألف على واحد ناقص رهب وهنا نفس الجثة S يسوى الحد الأول اللي هو A على واحد ناقص الأساس طيب نعطيك بعض الأمثلة على ذلك و نشوف كيف بنحل هذه الأمثلة يبقى examples", "tokens": [3555, 7435, 36081, 4032, 1975, 15730, 4117, 31747, 10874, 32640, 8717, 11536, 7251, 3794, 2407, 7578, 5551, 46538, 15844, 36764, 24401, 8717, 995, 4587, 9381, 12602, 3224, 3555, 37037, 8315, 8717, 36178, 25724, 12984, 3660, 318, 7251, 3794, 2407, 7578, 21542, 3215, 16247, 12610, 13672, 1829, 31439, 316, 15844, 36764, 24401, 8717, 995, 4587, 9381, 16247, 3794, 32277, 23032, 1829, 3555, 8717, 3615, 9566, 1829, 4117, 45030, 11242, 16247, 2304, 12984, 37977, 15844, 29910, 23275, 4032, 8717, 8592, 38688, 9122, 33911, 44945, 5016, 1211, 29538, 16247, 2304, 12984, 37977, 7251, 3555, 4587, 7578, 5110], "avg_logprob": -0.23421052788433275, "compression_ratio": 1.702127659574468, "no_speech_prob": 0.0, "words": [{"start": 2092.62, "end": 2093.16, "word": "بجيت", "probability": 0.4312744140625}, {"start": 2093.16, "end": 2093.28, "word": " و", "probability": 0.469482421875}, {"start": 2093.28, "end": 2093.9, "word": " اذاكرك", "probability": 0.6397705078125}, {"start": 2093.9, "end": 2094.56, "word": " جيم", "probability": 0.43218994140625}, {"start": 2094.56, "end": 2095.12, "word": " نون", "probability": 0.84912109375}, {"start": 2095.12, "end": 2095.86, "word": " يسوى", "probability": 0.796142578125}, {"start": 2095.86, "end": 2096.42, "word": " ألف", "probability": 0.73876953125}, {"start": 2096.42, "end": 2096.7, "word": " على", "probability": 0.7734375}, {"start": 2096.7, "end": 2097.18, "word": " واحد", "probability": 0.989501953125}, {"start": 2097.18, "end": 2097.76, "word": " ناقص", "probability": 0.9622802734375}, {"start": 2097.76, "end": 2098.32, "word": " رهب", "probability": 0.3765462239583333}, {"start": 2098.32, "end": 2099.1, "word": " وهنا", "probability": 0.81640625}, {"start": 2099.1, "end": 2099.4, "word": " نفس", "probability": 0.98193359375}, {"start": 2099.4, "end": 2099.92, "word": " الجثة", "probability": 0.8556315104166666}, {"start": 2099.92, "end": 2100.36, "word": " S", "probability": 0.75927734375}, {"start": 2100.36, "end": 2101.16, "word": " يسوى", "probability": 0.9290771484375}, {"start": 2101.16, "end": 2101.52, "word": " الحد", "probability": 0.9755859375}, {"start": 2101.52, "end": 2102.0, "word": " الأول", "probability": 0.961669921875}, {"start": 2102.0, "end": 2102.16, "word": " اللي", "probability": 0.765380859375}, {"start": 2102.16, "end": 2102.36, "word": " هو", "probability": 0.94140625}, {"start": 2102.36, "end": 2102.78, "word": " A", "probability": 0.76318359375}, {"start": 2102.78, "end": 2103.4, "word": " على", "probability": 0.7890625}, {"start": 2103.4, "end": 2103.98, "word": " واحد", "probability": 0.99267578125}, {"start": 2103.98, "end": 2104.8, "word": " ناقص", "probability": 0.990478515625}, {"start": 2104.8, "end": 2105.64, "word": " الأساس", "probability": 0.8365885416666666}, {"start": 2105.64, "end": 2107.2, "word": " طيب", "probability": 0.6656087239583334}, {"start": 2107.2, "end": 2108.06, "word": " نعطيك", "probability": 0.867724609375}, {"start": 2108.06, "end": 2108.4, "word": " بعض", "probability": 0.95654296875}, {"start": 2108.4, "end": 2109.08, "word": " الأمثلة", "probability": 0.9830322265625}, {"start": 2109.08, "end": 2109.32, "word": " على", "probability": 0.83984375}, {"start": 2109.32, "end": 2109.98, "word": " ذلك", "probability": 0.991455078125}, {"start": 2109.98, "end": 2110.76, "word": " و", "probability": 0.97216796875}, {"start": 2110.76, "end": 2111.46, "word": " نشوف", "probability": 0.8533528645833334}, {"start": 2111.46, "end": 2111.82, "word": " كيف", "probability": 0.975830078125}, {"start": 2111.82, "end": 2112.52, "word": " بنحل", "probability": 0.9420572916666666}, {"start": 2112.52, "end": 2112.86, "word": " هذه", "probability": 0.9736328125}, {"start": 2112.86, "end": 2113.56, "word": " الأمثلة", "probability": 0.992919921875}, {"start": 2113.56, "end": 2114.32, "word": " يبقى", "probability": 0.788330078125}, {"start": 2114.32, "end": 2114.94, "word": " examples", "probability": 0.62890625}], "temperature": 1.0}, {"id": 87, "seek": 214821, "start": 2120.71, "end": 2148.21, "text": "بقول which of the following series which of the following series converge and which by that if the series converge fine", "tokens": [3555, 39648, 597, 295, 264, 3480, 2638, 597, 295, 264, 3480, 2638, 41881, 293, 597, 538, 300, 498, 264, 2638, 41881, 2489], "avg_logprob": -0.2644361438958541, "compression_ratio": 1.5569620253164558, "no_speech_prob": 0.0, "words": [{"start": 2120.71, "end": 2121.09, "word": "بقول", "probability": 0.7073974609375}, {"start": 2121.09, "end": 2121.41, "word": " which", "probability": 0.88818359375}, {"start": 2121.41, "end": 2121.61, "word": " of", "probability": 0.9814453125}, {"start": 2121.61, "end": 2121.79, "word": " the", "probability": 0.9326171875}, {"start": 2121.79, "end": 2122.17, "word": " following", "probability": 0.85498046875}, {"start": 2122.17, "end": 2123.21, "word": " series", "probability": 0.9150390625}, {"start": 2123.21, "end": 2124.37, "word": " which", "probability": 0.1041259765625}, {"start": 2124.37, "end": 2125.63, "word": " of", "probability": 0.9638671875}, {"start": 2125.63, "end": 2126.89, "word": " the", "probability": 0.935546875}, {"start": 2126.89, "end": 2127.99, "word": " following", "probability": 0.87646484375}, {"start": 2127.99, "end": 2131.03, "word": " series", "probability": 0.9228515625}, {"start": 2131.03, "end": 2134.05, "word": " converge", "probability": 0.9521484375}, {"start": 2134.05, "end": 2135.67, "word": " and", "probability": 0.96240234375}, {"start": 2135.67, "end": 2137.45, "word": " which", "probability": 0.97216796875}, {"start": 2137.45, "end": 2138.93, "word": " by", "probability": 0.87451171875}, {"start": 2138.93, "end": 2139.43, "word": " that", "probability": 0.3603515625}, {"start": 2139.43, "end": 2141.55, "word": " if", "probability": 0.92724609375}, {"start": 2141.55, "end": 2143.09, "word": " the", "probability": 0.939453125}, {"start": 2143.09, "end": 2143.89, "word": " series", "probability": 0.919921875}, {"start": 2143.89, "end": 2146.63, "word": " converge", "probability": 0.96728515625}, {"start": 2146.63, "end": 2148.21, "word": " fine", "probability": 0.57421875}], "temperature": 1.0}, {"id": 88, "seek": 217452, "start": 2149.76, "end": 2174.52, "text": "its sum يبقى إذا كانت convert بدنا المجموع تبعها نبره واحد summation من n equal zero to infinity ل-1 to the power n خمسة على أربعة to the power n بقولوا شيف ليها ال series هذي convert", "tokens": [1208, 2408, 7251, 3555, 4587, 7578, 11933, 15730, 25961, 2655, 7620, 47525, 8315, 9673, 7435, 2304, 45367, 6055, 3555, 3615, 11296, 8717, 26890, 3224, 36764, 24401, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 12, 16, 281, 264, 1347, 297, 16490, 2304, 3794, 3660, 15844, 5551, 25513, 27884, 281, 264, 1347, 297, 4724, 39648, 14407, 13412, 33911, 32239, 11296, 2423, 2638, 8032, 8848, 1829, 7620], "avg_logprob": -0.36908143849083874, "compression_ratio": 1.3422459893048129, "no_speech_prob": 0.0, "words": [{"start": 2149.76, "end": 2150.16, "word": "its", "probability": 0.08135986328125}, {"start": 2150.16, "end": 2150.86, "word": " sum", "probability": 0.9111328125}, {"start": 2150.86, "end": 2152.66, "word": " يبقى", "probability": 0.7755126953125}, {"start": 2152.66, "end": 2152.84, "word": " إذا", "probability": 0.777587890625}, {"start": 2152.84, "end": 2153.38, "word": " كانت", "probability": 0.8369140625}, {"start": 2153.38, "end": 2153.74, "word": " convert", "probability": 0.248291015625}, {"start": 2153.74, "end": 2154.22, "word": " بدنا", "probability": 0.689208984375}, {"start": 2154.22, "end": 2154.98, "word": " المجموع", "probability": 0.933837890625}, {"start": 2154.98, "end": 2155.84, "word": " تبعها", "probability": 0.8487548828125}, {"start": 2155.84, "end": 2156.96, "word": " نبره", "probability": 0.4114583333333333}, {"start": 2156.96, "end": 2157.46, "word": " واحد", "probability": 0.897705078125}, {"start": 2157.46, "end": 2158.66, "word": " summation", "probability": 0.52880859375}, {"start": 2158.66, "end": 2159.8, "word": " من", "probability": 0.9462890625}, {"start": 2159.8, "end": 2160.14, "word": " n", "probability": 0.51513671875}, {"start": 2160.14, "end": 2160.72, "word": " equal", "probability": 0.34716796875}, {"start": 2160.72, "end": 2161.3, "word": " zero", "probability": 0.619140625}, {"start": 2161.3, "end": 2161.62, "word": " to", "probability": 0.947265625}, {"start": 2161.62, "end": 2162.46, "word": " infinity", "probability": 0.8525390625}, {"start": 2162.46, "end": 2163.28, "word": " ل", "probability": 0.6962890625}, {"start": 2163.28, "end": 2164.2, "word": "-1", "probability": 0.36566162109375}, {"start": 2164.2, "end": 2164.6, "word": " to", "probability": 0.8779296875}, {"start": 2164.6, "end": 2164.84, "word": " the", "probability": 0.9130859375}, {"start": 2164.84, "end": 2165.5, "word": " power", "probability": 0.90478515625}, {"start": 2165.5, "end": 2166.04, "word": " n", "probability": 0.7275390625}, {"start": 2166.04, "end": 2167.54, "word": " خمسة", "probability": 0.885498046875}, {"start": 2167.54, "end": 2168.22, "word": " على", "probability": 0.7470703125}, {"start": 2168.22, "end": 2168.94, "word": " أربعة", "probability": 0.8251953125}, {"start": 2168.94, "end": 2169.24, "word": " to", "probability": 0.9521484375}, {"start": 2169.24, "end": 2169.42, "word": " the", "probability": 0.916015625}, {"start": 2169.42, "end": 2169.96, "word": " power", "probability": 0.890625}, {"start": 2169.96, "end": 2170.98, "word": " n", "probability": 0.91796875}, {"start": 2170.98, "end": 2172.92, "word": " بقولوا", "probability": 0.8444010416666666}, {"start": 2172.92, "end": 2173.16, "word": " شيف", "probability": 0.560791015625}, {"start": 2173.16, "end": 2173.42, "word": " ليها", "probability": 0.5869140625}, {"start": 2173.42, "end": 2173.5, "word": " ال", "probability": 0.68896484375}, {"start": 2173.5, "end": 2173.72, "word": " series", "probability": 0.86083984375}, {"start": 2173.72, "end": 2174.12, "word": " هذي", "probability": 0.6459147135416666}, {"start": 2174.12, "end": 2174.52, "word": " convert", "probability": 0.62158203125}], "temperature": 1.0}, {"id": 89, "seek": 219407, "start": 2175.25, "end": 2194.07, "text": "والله ضايفينه وإذا كانت conveyor بدي المجموع أول شغلة بدي أفحص هل هي geometric و الله ماهياش geometric إذا بدي أعيد صياغة هذه ال series على الشكل التالي N equal zero to infinity الخمسة مقدار ثابت", "tokens": [2407, 6027, 43761, 48812, 47302, 5172, 9957, 3224, 4032, 28814, 15730, 25961, 2655, 18053, 2454, 4724, 16254, 9673, 7435, 2304, 45367, 5551, 12610, 13412, 17082, 37977, 4724, 16254, 5551, 5172, 5016, 9381, 8032, 1211, 39896, 33246, 4032, 21984, 19446, 3224, 1829, 33599, 33246, 11933, 15730, 4724, 16254, 5551, 3615, 25708, 20328, 1829, 5718, 118, 3660, 29538, 2423, 2638, 15844, 25124, 28820, 16712, 6027, 1829, 426, 2681, 4018, 281, 13202, 33962, 2304, 3794, 3660, 3714, 28543, 9640, 38637, 16758, 2655], "avg_logprob": -0.2873046789318323, "compression_ratio": 1.4497607655502391, "no_speech_prob": 0.0, "words": [{"start": 2175.25, "end": 2175.69, "word": "والله", "probability": 0.5214436848958334}, {"start": 2175.69, "end": 2176.29, "word": " ضايفينه", "probability": 0.471826171875}, {"start": 2176.29, "end": 2176.59, "word": " وإذا", "probability": 0.6961263020833334}, {"start": 2176.59, "end": 2177.03, "word": " كانت", "probability": 0.91748046875}, {"start": 2177.03, "end": 2177.55, "word": " conveyor", "probability": 0.688232421875}, {"start": 2177.55, "end": 2177.85, "word": " بدي", "probability": 0.51507568359375}, {"start": 2177.85, "end": 2178.45, "word": " المجموع", "probability": 0.866455078125}, {"start": 2178.45, "end": 2179.53, "word": " أول", "probability": 0.6231689453125}, {"start": 2179.53, "end": 2179.95, "word": " شغلة", "probability": 0.720703125}, {"start": 2179.95, "end": 2180.23, "word": " بدي", "probability": 0.7666015625}, {"start": 2180.23, "end": 2180.65, "word": " أفحص", "probability": 0.8873291015625}, {"start": 2180.65, "end": 2180.83, "word": " هل", "probability": 0.781005859375}, {"start": 2180.83, "end": 2181.01, "word": " هي", "probability": 0.93505859375}, {"start": 2181.01, "end": 2181.69, "word": " geometric", "probability": 0.4814453125}, {"start": 2181.69, "end": 2182.29, "word": " و", "probability": 0.57763671875}, {"start": 2182.29, "end": 2182.47, "word": " الله", "probability": 0.708984375}, {"start": 2182.47, "end": 2183.39, "word": " ماهياش", "probability": 0.9144287109375}, {"start": 2183.39, "end": 2184.11, "word": " geometric", "probability": 0.5400390625}, {"start": 2184.11, "end": 2184.97, "word": " إذا", "probability": 0.764892578125}, {"start": 2184.97, "end": 2185.33, "word": " بدي", "probability": 0.947998046875}, {"start": 2185.33, "end": 2185.85, "word": " أعيد", "probability": 0.9651692708333334}, {"start": 2185.85, "end": 2186.69, "word": " صياغة", "probability": 0.94736328125}, {"start": 2186.69, "end": 2187.09, "word": " هذه", "probability": 0.96826171875}, {"start": 2187.09, "end": 2187.33, "word": " ال", "probability": 0.919921875}, {"start": 2187.33, "end": 2187.71, "word": " series", "probability": 0.94140625}, {"start": 2187.71, "end": 2188.07, "word": " على", "probability": 0.8974609375}, {"start": 2188.07, "end": 2188.73, "word": " الشكل", "probability": 0.94482421875}, {"start": 2188.73, "end": 2189.61, "word": " التالي", "probability": 0.9900716145833334}, {"start": 2189.61, "end": 2190.29, "word": " N", "probability": 0.3984375}, {"start": 2190.29, "end": 2190.87, "word": " equal", "probability": 0.07537841796875}, {"start": 2190.87, "end": 2191.31, "word": " zero", "probability": 0.54150390625}, {"start": 2191.31, "end": 2191.63, "word": " to", "probability": 0.96484375}, {"start": 2191.63, "end": 2192.19, "word": " infinity", "probability": 0.71435546875}, {"start": 2192.19, "end": 2193.03, "word": " الخمسة", "probability": 0.934326171875}, {"start": 2193.03, "end": 2193.59, "word": " مقدار", "probability": 0.9571940104166666}, {"start": 2193.59, "end": 2194.07, "word": " ثابت", "probability": 0.9845377604166666}], "temperature": 1.0}, {"id": 90, "seek": 221112, "start": 2194.68, "end": 2211.12, "text": "هذا سالب واحد أس إنه وهذه أربعة أس إنه يبقى كأنه سالب واحد على أربعة كله to the power n طب السؤال هو صار شكلها Geometric ولا لا؟", "tokens": [3224, 15730, 8608, 6027, 3555, 36764, 24401, 5551, 3794, 36145, 3224, 37037, 24192, 5551, 25513, 27884, 5551, 3794, 36145, 3224, 7251, 3555, 4587, 7578, 9122, 33456, 3224, 8608, 6027, 3555, 36764, 24401, 15844, 5551, 25513, 27884, 28242, 3224, 281, 264, 1347, 297, 23032, 3555, 21136, 33604, 6027, 31439, 20328, 9640, 13412, 28820, 11296, 2876, 29470, 49429, 20193, 22807], "avg_logprob": -0.2082891928947578, "compression_ratio": 1.4513888888888888, "no_speech_prob": 0.0, "words": [{"start": 2194.68, "end": 2195.08, "word": "هذا", "probability": 0.646240234375}, {"start": 2195.08, "end": 2195.6, "word": " سالب", "probability": 0.6876627604166666}, {"start": 2195.6, "end": 2196.04, "word": " واحد", "probability": 0.9443359375}, {"start": 2196.04, "end": 2196.42, "word": " أس", "probability": 0.748291015625}, {"start": 2196.42, "end": 2196.8, "word": " إنه", "probability": 0.598876953125}, {"start": 2196.8, "end": 2197.16, "word": " وهذه", "probability": 0.634033203125}, {"start": 2197.16, "end": 2197.78, "word": " أربعة", "probability": 0.8951822916666666}, {"start": 2197.78, "end": 2198.24, "word": " أس", "probability": 0.97607421875}, {"start": 2198.24, "end": 2198.86, "word": " إنه", "probability": 0.65478515625}, {"start": 2198.86, "end": 2199.62, "word": " يبقى", "probability": 0.8740234375}, {"start": 2199.62, "end": 2200.6, "word": " كأنه", "probability": 0.9119466145833334}, {"start": 2200.6, "end": 2201.42, "word": " سالب", "probability": 0.9441731770833334}, {"start": 2201.42, "end": 2202.02, "word": " واحد", "probability": 0.97998046875}, {"start": 2202.02, "end": 2202.5, "word": " على", "probability": 0.8203125}, {"start": 2202.5, "end": 2203.36, "word": " أربعة", "probability": 0.9309895833333334}, {"start": 2203.36, "end": 2204.16, "word": " كله", "probability": 0.881103515625}, {"start": 2204.16, "end": 2204.3, "word": " to", "probability": 0.8359375}, {"start": 2204.3, "end": 2204.58, "word": " the", "probability": 0.9140625}, {"start": 2204.58, "end": 2205.18, "word": " power", "probability": 0.9189453125}, {"start": 2205.18, "end": 2205.68, "word": " n", "probability": 0.4716796875}, {"start": 2205.68, "end": 2207.4, "word": " طب", "probability": 0.66796875}, {"start": 2207.4, "end": 2207.94, "word": " السؤال", "probability": 0.9908854166666666}, {"start": 2207.94, "end": 2208.18, "word": " هو", "probability": 0.90625}, {"start": 2208.18, "end": 2208.66, "word": " صار", "probability": 0.95556640625}, {"start": 2208.66, "end": 2209.4, "word": " شكلها", "probability": 0.97998046875}, {"start": 2209.4, "end": 2210.2, "word": " Geometric", "probability": 0.66357421875}, {"start": 2210.2, "end": 2210.48, "word": " ولا", "probability": 0.6474609375}, {"start": 2210.48, "end": 2211.12, "word": " لا؟", "probability": 0.748779296875}], "temperature": 1.0}, {"id": 91, "seek": 223816, "start": 2212.14, "end": 2238.16, "text": "زي الشكل هذا او لا؟ اه حط النبوحة ب zero واحد اتنين ثلاثة تصير خمسة خمسة فترات ربع خمسة فترات ربع تقريب خمسة فترات ربع تقريب إلى ما شاء الله طب هل هي ال conversion ولا ال divergence؟ هذا شفوي بمجرد النظر conversion ولا divergence؟ قداشي ratio؟ خمسة", "tokens": [11622, 1829, 25124, 28820, 23758, 1975, 2407, 20193, 22807, 1975, 3224, 11331, 9566, 28239, 3555, 2407, 5016, 3660, 4724, 4018, 36764, 24401, 1975, 2655, 1863, 9957, 38637, 1211, 5718, 104, 3660, 6055, 9381, 13546, 16490, 2304, 3794, 3660, 16490, 2304, 3794, 3660, 6156, 2655, 2288, 9307, 12602, 3555, 3615, 16490, 2304, 3794, 3660, 6156, 2655, 2288, 9307, 12602, 3555, 3615, 6055, 4587, 16572, 3555, 16490, 2304, 3794, 3660, 6156, 2655, 2288, 9307, 12602, 3555, 3615, 6055, 4587, 16572, 3555, 30731, 19446, 13412, 16606, 21984, 23032, 3555, 8032, 1211, 39896, 2423, 14298, 49429, 2423, 47387, 22807, 23758, 13412, 5172, 45865, 4724, 2304, 7435, 2288, 3215, 28239, 19913, 2288, 14298, 49429, 47387, 22807, 12174, 3215, 33599, 1829, 8509, 22807, 16490, 2304, 3794, 3660], "avg_logprob": -0.28970288277649486, "compression_ratio": 1.8957345971563981, "no_speech_prob": 0.0, "words": [{"start": 2212.14, "end": 2212.54, "word": "زي", "probability": 0.52423095703125}, {"start": 2212.54, "end": 2212.98, "word": " الشكل", "probability": 0.971923828125}, {"start": 2212.98, "end": 2213.34, "word": " هذا", "probability": 0.89013671875}, {"start": 2213.34, "end": 2213.52, "word": " او", "probability": 0.55743408203125}, {"start": 2213.52, "end": 2214.48, "word": " لا؟", "probability": 0.765380859375}, {"start": 2214.48, "end": 2215.28, "word": " اه", "probability": 0.5186767578125}, {"start": 2215.28, "end": 2215.7, "word": " حط", "probability": 0.57293701171875}, {"start": 2215.7, "end": 2216.74, "word": " النبوحة", "probability": 0.740234375}, {"start": 2216.74, "end": 2216.86, "word": " ب", "probability": 0.66064453125}, {"start": 2216.86, "end": 2217.28, "word": " zero", "probability": 0.24560546875}, {"start": 2217.28, "end": 2217.88, "word": " واحد", "probability": 0.8291015625}, {"start": 2217.88, "end": 2218.32, "word": " اتنين", "probability": 0.9766845703125}, {"start": 2218.32, "end": 2218.78, "word": " ثلاثة", "probability": 0.89140625}, {"start": 2218.78, "end": 2219.14, "word": " تصير", "probability": 0.7677408854166666}, {"start": 2219.14, "end": 2219.88, "word": " خمسة", "probability": 0.924072265625}, {"start": 2219.88, "end": 2220.64, "word": " خمسة", "probability": 0.8907470703125}, {"start": 2220.64, "end": 2221.04, "word": " فترات", "probability": 0.47784423828125}, {"start": 2221.04, "end": 2221.44, "word": " ربع", "probability": 0.79638671875}, {"start": 2221.44, "end": 2221.9, "word": " خمسة", "probability": 0.9029541015625}, {"start": 2221.9, "end": 2222.24, "word": " فترات", "probability": 0.9698486328125}, {"start": 2222.24, "end": 2222.56, "word": " ربع", "probability": 0.9684244791666666}, {"start": 2222.56, "end": 2223.1, "word": " تقريب", "probability": 0.61102294921875}, {"start": 2223.1, "end": 2223.48, "word": " خمسة", "probability": 0.9559326171875}, {"start": 2223.48, "end": 2223.84, "word": " فترات", "probability": 0.972900390625}, {"start": 2223.84, "end": 2224.2, "word": " ربع", "probability": 0.9837239583333334}, {"start": 2224.2, "end": 2224.76, "word": " تقريب", "probability": 0.8631591796875}, {"start": 2224.76, "end": 2225.3, "word": " إلى", "probability": 0.4775390625}, {"start": 2225.3, "end": 2225.62, "word": " ما", "probability": 0.966796875}, {"start": 2225.62, "end": 2226.0, "word": " شاء", "probability": 0.993408203125}, {"start": 2226.0, "end": 2226.5, "word": " الله", "probability": 0.953125}, {"start": 2226.5, "end": 2227.0, "word": " طب", "probability": 0.748779296875}, {"start": 2227.0, "end": 2227.2, "word": " هل", "probability": 0.962158203125}, {"start": 2227.2, "end": 2227.4, "word": " هي", "probability": 0.7939453125}, {"start": 2227.4, "end": 2227.58, "word": " ال", "probability": 0.255859375}, {"start": 2227.58, "end": 2228.12, "word": " conversion", "probability": 0.5498046875}, {"start": 2228.12, "end": 2228.38, "word": " ولا", "probability": 0.8515625}, {"start": 2228.38, "end": 2228.44, "word": " ال", "probability": 0.8994140625}, {"start": 2228.44, "end": 2228.96, "word": " divergence؟", "probability": 0.605712890625}, {"start": 2228.96, "end": 2229.06, "word": " هذا", "probability": 0.248046875}, {"start": 2229.06, "end": 2229.58, "word": " شفوي", "probability": 0.7078450520833334}, {"start": 2229.58, "end": 2230.54, "word": " بمجرد", "probability": 0.9873046875}, {"start": 2230.54, "end": 2232.06, "word": " النظر", "probability": 0.9923502604166666}, {"start": 2232.06, "end": 2232.88, "word": " conversion", "probability": 0.6806640625}, {"start": 2232.88, "end": 2233.12, "word": " ولا", "probability": 0.8974609375}, {"start": 2233.12, "end": 2234.66, "word": " divergence؟", "probability": 0.744140625}, {"start": 2234.66, "end": 2235.2, "word": " قداشي", "probability": 0.76422119140625}, {"start": 2235.2, "end": 2236.54, "word": " ratio؟", "probability": 0.6796875}, {"start": 2236.54, "end": 2238.16, "word": " خمسة", "probability": 0.9224853515625}], "temperature": 1.0}, {"id": 92, "seek": 226042, "start": 2240.98, "end": 2260.42, "text": "خمسة إيها مثابت فيهم كلهم، يبقى ال ratio هي R، مظبوط؟ R قبل داسم، ثالث وربع، absolute value لها، الرابع هو الرابع أقل، يبقى convergent ولا divergent، يبقى W automatic، convergent", "tokens": [9778, 2304, 3794, 3660, 11933, 1829, 11296, 3714, 12984, 16758, 2655, 8978, 16095, 28242, 16095, 12399, 7251, 3555, 4587, 7578, 2423, 8509, 39896, 497, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 497, 12174, 36150, 11778, 32277, 2304, 12399, 38637, 6027, 12984, 4032, 25513, 3615, 12399, 8236, 2158, 5296, 11296, 12399, 34892, 16758, 3615, 31439, 34892, 16758, 3615, 5551, 4587, 1211, 12399, 7251, 3555, 4587, 7578, 9652, 6930, 49429, 18558, 6930, 12399, 7251, 3555, 4587, 7578, 343, 12509, 12399, 9652, 6930], "avg_logprob": -0.41898147559460297, "compression_ratio": 1.5084745762711864, "no_speech_prob": 0.0, "words": [{"start": 2240.98, "end": 2241.94, "word": "خمسة", "probability": 0.6981658935546875}, {"start": 2241.94, "end": 2242.24, "word": " إيها", "probability": 0.4899495442708333}, {"start": 2242.24, "end": 2243.0, "word": " مثابت", "probability": 0.693084716796875}, {"start": 2243.0, "end": 2243.32, "word": " فيهم", "probability": 0.833251953125}, {"start": 2243.32, "end": 2244.56, "word": " كلهم،", "probability": 0.6913248697916666}, {"start": 2244.56, "end": 2245.52, "word": " يبقى", "probability": 0.92333984375}, {"start": 2245.52, "end": 2245.56, "word": " ال", "probability": 0.74755859375}, {"start": 2245.56, "end": 2245.86, "word": " ratio", "probability": 0.89013671875}, {"start": 2245.86, "end": 2246.3, "word": " هي", "probability": 0.66943359375}, {"start": 2246.3, "end": 2246.94, "word": " R،", "probability": 0.58251953125}, {"start": 2246.94, "end": 2247.94, "word": " مظبوط؟", "probability": 0.7846272786458334}, {"start": 2247.94, "end": 2248.1, "word": " R", "probability": 0.751953125}, {"start": 2248.1, "end": 2248.36, "word": " قبل", "probability": 0.385009765625}, {"start": 2248.36, "end": 2248.92, "word": " داسم،", "probability": 0.48333740234375}, {"start": 2248.92, "end": 2249.88, "word": " ثالث", "probability": 0.7074381510416666}, {"start": 2249.88, "end": 2250.28, "word": " وربع،", "probability": 0.6898193359375}, {"start": 2250.28, "end": 2250.64, "word": " absolute", "probability": 0.77734375}, {"start": 2250.64, "end": 2251.12, "word": " value", "probability": 0.99267578125}, {"start": 2251.12, "end": 2252.26, "word": " لها،", "probability": 0.7779947916666666}, {"start": 2252.26, "end": 2252.72, "word": " الرابع", "probability": 0.7109375}, {"start": 2252.72, "end": 2252.86, "word": " هو", "probability": 0.6318359375}, {"start": 2252.86, "end": 2253.18, "word": " الرابع", "probability": 0.931640625}, {"start": 2253.18, "end": 2254.56, "word": " أقل،", "probability": 0.84033203125}, {"start": 2254.56, "end": 2254.94, "word": " يبقى", "probability": 0.97265625}, {"start": 2254.94, "end": 2255.44, "word": " convergent", "probability": 0.3172607421875}, {"start": 2255.44, "end": 2255.58, "word": " ولا", "probability": 0.88623046875}, {"start": 2255.58, "end": 2256.42, "word": " divergent،", "probability": 0.5367838541666666}, {"start": 2256.42, "end": 2257.44, "word": " يبقى", "probability": 0.988525390625}, {"start": 2257.44, "end": 2257.74, "word": " W", "probability": 0.54296875}, {"start": 2257.74, "end": 2259.0, "word": " automatic،", "probability": 0.49365234375}, {"start": 2259.0, "end": 2260.42, "word": " convergent", "probability": 0.8388671875}], "temperature": 1.0}, {"id": 93, "seek": 227821, "start": 2260.81, "end": 2278.21, "text": "جيومتريك سيريز والسبب because absolute value لل R يسوي absolute value للثالث بربع يسوي ربع أقل من الواحد الصحية", "tokens": [7435, 1829, 20498, 2655, 16572, 4117, 8608, 13546, 1829, 11622, 16070, 35457, 3555, 570, 8236, 2158, 24976, 497, 7251, 3794, 45865, 8236, 2158, 24976, 12984, 6027, 12984, 4724, 25513, 3615, 7251, 3794, 45865, 12602, 3555, 3615, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 10632], "avg_logprob": -0.24850398936170212, "compression_ratio": 1.328125, "no_speech_prob": 0.0, "words": [{"start": 2260.81, "end": 2262.81, "word": "جيومتريك", "probability": 0.7374674479166666}, {"start": 2262.81, "end": 2264.23, "word": " سيريز", "probability": 0.8880615234375}, {"start": 2264.23, "end": 2265.79, "word": " والسبب", "probability": 0.86376953125}, {"start": 2265.79, "end": 2267.37, "word": " because", "probability": 0.53125}, {"start": 2267.37, "end": 2268.65, "word": " absolute", "probability": 0.8603515625}, {"start": 2268.65, "end": 2269.63, "word": " value", "probability": 0.9892578125}, {"start": 2269.63, "end": 2270.05, "word": " لل", "probability": 0.80810546875}, {"start": 2270.05, "end": 2270.71, "word": " R", "probability": 0.30810546875}, {"start": 2270.71, "end": 2271.65, "word": " يسوي", "probability": 0.6669921875}, {"start": 2271.65, "end": 2272.41, "word": " absolute", "probability": 0.865234375}, {"start": 2272.41, "end": 2273.13, "word": " value", "probability": 0.99169921875}, {"start": 2273.13, "end": 2273.91, "word": " للثالث", "probability": 0.66748046875}, {"start": 2273.91, "end": 2274.51, "word": " بربع", "probability": 0.9337565104166666}, {"start": 2274.51, "end": 2275.59, "word": " يسوي", "probability": 0.8790690104166666}, {"start": 2275.59, "end": 2276.19, "word": " ربع", "probability": 0.9479166666666666}, {"start": 2276.19, "end": 2276.87, "word": " أقل", "probability": 0.8653971354166666}, {"start": 2276.87, "end": 2277.07, "word": " من", "probability": 0.9931640625}, {"start": 2277.07, "end": 2277.57, "word": " الواحد", "probability": 0.8836263020833334}, {"start": 2277.57, "end": 2278.21, "word": " الصحية", "probability": 0.82373046875}], "temperature": 1.0}, {"id": 94, "seek": 229373, "start": 2278.7, "end": 2293.74, "text": "قال يا صاحبي ده المثل كله بدك تجيبليه المجموع بقوله بسيطة يبقى باجي بقوله هنا it's some as", "tokens": [4587, 6027, 35186, 20328, 39319, 21292, 11778, 3224, 9673, 12984, 1211, 28242, 3224, 47525, 4117, 6055, 7435, 1829, 3555, 20292, 3224, 9673, 7435, 2304, 45367, 4724, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 309, 311, 512, 382], "avg_logprob": -0.2256058624812535, "compression_ratio": 1.3189655172413792, "no_speech_prob": 0.0, "words": [{"start": 2278.7, "end": 2279.26, "word": "قال", "probability": 0.58209228515625}, {"start": 2279.26, "end": 2279.46, "word": " يا", "probability": 0.74072265625}, {"start": 2279.46, "end": 2280.04, "word": " صاحبي", "probability": 0.88330078125}, {"start": 2280.04, "end": 2280.3, "word": " ده", "probability": 0.79443359375}, {"start": 2280.3, "end": 2280.76, "word": " المثل", "probability": 0.8269856770833334}, {"start": 2280.76, "end": 2281.52, "word": " كله", "probability": 0.762939453125}, {"start": 2281.52, "end": 2282.62, "word": " بدك", "probability": 0.613525390625}, {"start": 2282.62, "end": 2283.66, "word": " تجيبليه", "probability": 0.8916829427083334}, {"start": 2283.66, "end": 2284.56, "word": " المجموع", "probability": 0.828369140625}, {"start": 2284.56, "end": 2285.64, "word": " بقوله", "probability": 0.9029947916666666}, {"start": 2285.64, "end": 2286.56, "word": " بسيطة", "probability": 0.94482421875}, {"start": 2286.56, "end": 2287.2, "word": " يبقى", "probability": 0.864501953125}, {"start": 2287.2, "end": 2287.64, "word": " باجي", "probability": 0.8043619791666666}, {"start": 2287.64, "end": 2288.5, "word": " بقوله", "probability": 0.9373372395833334}, {"start": 2288.5, "end": 2288.98, "word": " هنا", "probability": 0.8740234375}, {"start": 2288.98, "end": 2290.48, "word": " it's", "probability": 0.840576171875}, {"start": 2290.48, "end": 2292.48, "word": " some", "probability": 0.8154296875}, {"start": 2292.48, "end": 2293.74, "word": " as", "probability": 0.41455078125}], "temperature": 1.0}, {"id": 95, "seek": 231880, "start": 2294.2, "end": 2318.8, "text": "هذا ال S يساوي يبدأ يقول الحد الأول جدّيش الحد الأول حط NF0 بتحصل لحد الأول بصير هذا واحد في خمسة يبقى خمسة على واحد ناقص الأساس بتحط ال S الأساس بإشارته يبقى هذا الكلام بده يساوي خمسة على", "tokens": [3224, 15730, 2423, 318, 7251, 3794, 995, 45865, 7251, 44510, 10721, 7251, 39648, 21542, 3215, 16247, 12610, 10874, 3215, 11703, 1829, 8592, 21542, 3215, 16247, 12610, 11331, 9566, 13576, 15, 39894, 5016, 36520, 5296, 24401, 16247, 12610, 4724, 9381, 13546, 23758, 36764, 24401, 8978, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 16490, 2304, 3794, 3660, 15844, 36764, 24401, 8717, 995, 4587, 9381, 16247, 3794, 32277, 39894, 5016, 9566, 2423, 318, 16247, 3794, 32277, 4724, 28814, 8592, 9640, 47395, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 16490, 2304, 3794, 3660, 15844], "avg_logprob": -0.2406881382369032, "compression_ratio": 2.018181818181818, "no_speech_prob": 0.0, "words": [{"start": 2294.2, "end": 2294.76, "word": "هذا", "probability": 0.56781005859375}, {"start": 2294.76, "end": 2294.96, "word": " ال", "probability": 0.8583984375}, {"start": 2294.96, "end": 2295.24, "word": " S", "probability": 0.345947265625}, {"start": 2295.24, "end": 2296.12, "word": " يساوي", "probability": 0.927734375}, {"start": 2296.12, "end": 2296.86, "word": " يبدأ", "probability": 0.4638671875}, {"start": 2296.86, "end": 2297.08, "word": " يقول", "probability": 0.4281005859375}, {"start": 2297.08, "end": 2297.6, "word": " الحد", "probability": 0.86669921875}, {"start": 2297.6, "end": 2298.02, "word": " الأول", "probability": 0.914306640625}, {"start": 2298.02, "end": 2298.52, "word": " جدّيش", "probability": 0.60458984375}, {"start": 2298.52, "end": 2299.02, "word": " الحد", "probability": 0.966064453125}, {"start": 2299.02, "end": 2300.0, "word": " الأول", "probability": 0.975830078125}, {"start": 2300.0, "end": 2301.2, "word": " حط", "probability": 0.4263916015625}, {"start": 2301.2, "end": 2301.92, "word": " NF0", "probability": 0.4224853515625}, {"start": 2301.92, "end": 2302.38, "word": " بتحصل", "probability": 0.8240559895833334}, {"start": 2302.38, "end": 2302.66, "word": " لحد", "probability": 0.8115234375}, {"start": 2302.66, "end": 2302.96, "word": " الأول", "probability": 0.958740234375}, {"start": 2302.96, "end": 2303.34, "word": " بصير", "probability": 0.8284505208333334}, {"start": 2303.34, "end": 2303.56, "word": " هذا", "probability": 0.732421875}, {"start": 2303.56, "end": 2304.12, "word": " واحد", "probability": 0.84033203125}, {"start": 2304.12, "end": 2304.64, "word": " في", "probability": 0.91455078125}, {"start": 2304.64, "end": 2305.28, "word": " خمسة", "probability": 0.935791015625}, {"start": 2305.28, "end": 2305.68, "word": " يبقى", "probability": 0.9385986328125}, {"start": 2305.68, "end": 2306.78, "word": " خمسة", "probability": 0.96826171875}, {"start": 2306.78, "end": 2307.4, "word": " على", "probability": 0.8994140625}, {"start": 2307.4, "end": 2308.02, "word": " واحد", "probability": 0.992431640625}, {"start": 2308.02, "end": 2308.68, "word": " ناقص", "probability": 0.85174560546875}, {"start": 2308.68, "end": 2309.28, "word": " الأساس", "probability": 0.939453125}, {"start": 2309.28, "end": 2310.3, "word": " بتحط", "probability": 0.9571940104166666}, {"start": 2310.3, "end": 2310.52, "word": " ال", "probability": 0.93603515625}, {"start": 2310.52, "end": 2310.84, "word": " S", "probability": 0.7822265625}, {"start": 2310.84, "end": 2311.84, "word": " الأساس", "probability": 0.9298502604166666}, {"start": 2311.84, "end": 2313.92, "word": " بإشارته", "probability": 0.963671875}, {"start": 2313.92, "end": 2315.42, "word": " يبقى", "probability": 0.9842529296875}, {"start": 2315.42, "end": 2315.7, "word": " هذا", "probability": 0.97802734375}, {"start": 2315.7, "end": 2316.3, "word": " الكلام", "probability": 0.9754231770833334}, {"start": 2316.3, "end": 2316.82, "word": " بده", "probability": 0.637451171875}, {"start": 2316.82, "end": 2317.32, "word": " يساوي", "probability": 0.95703125}, {"start": 2317.32, "end": 2318.5, "word": " خمسة", "probability": 0.9818115234375}, {"start": 2318.5, "end": 2318.8, "word": " على", "probability": 0.7197265625}], "temperature": 1.0}, {"id": 96, "seek": 233623, "start": 2319.35, "end": 2336.23, "text": "واحد زائد ربع، واحد وربع يعني خمس أربع يبقى خمسة على أربع يبقى النتج بيعطيك أربع مجموع ال series سؤال الثاني", "tokens": [14407, 24401, 30767, 16373, 3215, 12602, 3555, 3615, 12399, 36764, 24401, 4032, 25513, 3615, 37495, 22653, 16490, 2304, 3794, 5551, 25513, 3615, 7251, 3555, 4587, 7578, 16490, 2304, 3794, 3660, 15844, 5551, 25513, 3615, 7251, 3555, 4587, 7578, 28239, 2655, 7435, 4724, 1829, 3615, 9566, 1829, 4117, 5551, 25513, 3615, 3714, 7435, 2304, 45367, 2423, 2638, 8608, 33604, 6027, 6024, 104, 7649, 1829], "avg_logprob": -0.24206543038599193, "compression_ratio": 1.5702479338842976, "no_speech_prob": 0.0, "words": [{"start": 2319.35, "end": 2320.39, "word": "واحد", "probability": 0.58447265625}, {"start": 2320.39, "end": 2321.11, "word": " زائد", "probability": 0.8885091145833334}, {"start": 2321.11, "end": 2322.03, "word": " ربع،", "probability": 0.77972412109375}, {"start": 2322.03, "end": 2322.57, "word": " واحد", "probability": 0.842041015625}, {"start": 2322.57, "end": 2323.13, "word": " وربع", "probability": 0.84912109375}, {"start": 2323.13, "end": 2323.79, "word": " يعني", "probability": 0.8046875}, {"start": 2323.79, "end": 2324.63, "word": " خمس", "probability": 0.9861653645833334}, {"start": 2324.63, "end": 2325.53, "word": " أربع", "probability": 0.78466796875}, {"start": 2325.53, "end": 2326.41, "word": " يبقى", "probability": 0.83599853515625}, {"start": 2326.41, "end": 2327.39, "word": " خمسة", "probability": 0.9632568359375}, {"start": 2327.39, "end": 2327.71, "word": " على", "probability": 0.79345703125}, {"start": 2327.71, "end": 2328.53, "word": " أربع", "probability": 0.8497721354166666}, {"start": 2328.53, "end": 2329.27, "word": " يبقى", "probability": 0.953857421875}, {"start": 2329.27, "end": 2329.69, "word": " النتج", "probability": 0.6783854166666666}, {"start": 2329.69, "end": 2330.13, "word": " بيعطيك", "probability": 0.7491861979166666}, {"start": 2330.13, "end": 2332.41, "word": " أربع", "probability": 0.65966796875}, {"start": 2332.41, "end": 2333.31, "word": " مجموع", "probability": 0.9481201171875}, {"start": 2333.31, "end": 2333.59, "word": " ال", "probability": 0.306396484375}, {"start": 2333.59, "end": 2334.07, "word": " series", "probability": 0.91064453125}, {"start": 2334.07, "end": 2335.47, "word": " سؤال", "probability": 0.8221842447916666}, {"start": 2335.47, "end": 2336.23, "word": " الثاني", "probability": 0.8973388671875}], "temperature": 1.0}, {"id": 97, "seek": 236321, "start": 2352.84, "end": 2363.22, "text": "بقل شوف ليها ال series هذي convert والله ضيفاش بقول بسيطة احنا موضوعنا موضوع ال geometric series", "tokens": [3555, 4587, 1211, 13412, 38688, 32239, 11296, 2423, 2638, 8032, 8848, 1829, 7620, 16070, 43761, 48812, 33911, 33599, 4724, 39648, 4724, 3794, 1829, 9566, 3660, 1975, 5016, 8315, 3714, 2407, 11242, 45367, 8315, 3714, 2407, 11242, 45367, 2423, 33246, 2638], "avg_logprob": -0.45160060975609756, "compression_ratio": 1.2542372881355932, "no_speech_prob": 0.0, "words": [{"start": 2352.8399999999997, "end": 2354.12, "word": "بقل", "probability": 0.191650390625}, {"start": 2354.12, "end": 2355.4, "word": " شوف", "probability": 0.5780029296875}, {"start": 2355.4, "end": 2355.64, "word": " ليها", "probability": 0.2283935546875}, {"start": 2355.64, "end": 2355.76, "word": " ال", "probability": 0.7578125}, {"start": 2355.76, "end": 2355.98, "word": " series", "probability": 0.6533203125}, {"start": 2355.98, "end": 2356.44, "word": " هذي", "probability": 0.6883951822916666}, {"start": 2356.44, "end": 2357.18, "word": " convert", "probability": 0.45947265625}, {"start": 2357.18, "end": 2358.2, "word": " والله", "probability": 0.6229248046875}, {"start": 2358.2, "end": 2358.84, "word": " ضيفاش", "probability": 0.6510416666666666}, {"start": 2358.84, "end": 2359.82, "word": " بقول", "probability": 0.85498046875}, {"start": 2359.82, "end": 2360.46, "word": " بسيطة", "probability": 0.75986328125}, {"start": 2360.46, "end": 2360.66, "word": " احنا", "probability": 0.9034830729166666}, {"start": 2360.66, "end": 2361.28, "word": " موضوعنا", "probability": 0.95361328125}, {"start": 2361.28, "end": 2361.7, "word": " موضوع", "probability": 0.958251953125}, {"start": 2361.7, "end": 2361.9, "word": " ال", "probability": 0.91162109375}, {"start": 2361.9, "end": 2362.54, "word": " geometric", "probability": 0.6513671875}, {"start": 2362.54, "end": 2363.22, "word": " series", "probability": 0.89892578125}], "temperature": 1.0}, {"id": 98, "seek": 238566, "start": 2363.56, "end": 2385.66, "text": "هل هذه Geometric ولا ماهياش Geometric إذا بقدر أقوله summation من n equal zero to infinity هذي اتنين أس ان زائد تلاتة يعني معناته اتنين تكييب في الاتنين أس ان على تلاتة أس ان", "tokens": [3224, 1211, 29538, 2876, 29470, 49429, 19446, 3224, 1829, 33599, 2876, 29470, 11933, 15730, 4724, 28543, 2288, 5551, 39648, 3224, 28811, 9154, 297, 2681, 4018, 281, 13202, 8032, 8848, 1829, 1975, 2655, 1863, 9957, 5551, 3794, 16472, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 37495, 22653, 20449, 8315, 47395, 1975, 2655, 1863, 9957, 6055, 4117, 1829, 1829, 3555, 8978, 2423, 9307, 1863, 9957, 5551, 3794, 16472, 15844, 6055, 1211, 9307, 3660, 5551, 3794, 16472], "avg_logprob": -0.3239583341280619, "compression_ratio": 1.5491329479768785, "no_speech_prob": 0.0, "words": [{"start": 2363.56, "end": 2365.3, "word": "هل", "probability": 0.3604736328125}, {"start": 2365.3, "end": 2365.66, "word": " هذه", "probability": 0.494140625}, {"start": 2365.66, "end": 2366.46, "word": " Geometric", "probability": 0.65283203125}, {"start": 2366.46, "end": 2366.74, "word": " ولا", "probability": 0.16650390625}, {"start": 2366.74, "end": 2367.58, "word": " ماهياش", "probability": 0.7806396484375}, {"start": 2367.58, "end": 2368.52, "word": " Geometric", "probability": 0.5836181640625}, {"start": 2368.52, "end": 2369.24, "word": " إذا", "probability": 0.527099609375}, {"start": 2369.24, "end": 2369.74, "word": " بقدر", "probability": 0.9217122395833334}, {"start": 2369.74, "end": 2370.22, "word": " أقوله", "probability": 0.7171223958333334}, {"start": 2370.22, "end": 2370.78, "word": " summation", "probability": 0.289306640625}, {"start": 2370.78, "end": 2371.58, "word": " من", "probability": 0.88037109375}, {"start": 2371.58, "end": 2371.86, "word": " n", "probability": 0.381591796875}, {"start": 2371.86, "end": 2372.34, "word": " equal", "probability": 0.180908203125}, {"start": 2372.34, "end": 2372.72, "word": " zero", "probability": 0.49365234375}, {"start": 2372.72, "end": 2372.98, "word": " to", "probability": 0.95849609375}, {"start": 2372.98, "end": 2373.66, "word": " infinity", "probability": 0.833984375}, {"start": 2373.66, "end": 2374.58, "word": " هذي", "probability": 0.5428059895833334}, {"start": 2374.58, "end": 2374.94, "word": " اتنين", "probability": 0.82904052734375}, {"start": 2374.94, "end": 2375.32, "word": " أس", "probability": 0.749755859375}, {"start": 2375.32, "end": 2375.6, "word": " ان", "probability": 0.429931640625}, {"start": 2375.6, "end": 2376.28, "word": " زائد", "probability": 0.8753255208333334}, {"start": 2376.28, "end": 2376.9, "word": " تلاتة", "probability": 0.9495849609375}, {"start": 2376.9, "end": 2377.28, "word": " يعني", "probability": 0.890869140625}, {"start": 2377.28, "end": 2378.1, "word": " معناته", "probability": 0.9298502604166666}, {"start": 2378.1, "end": 2379.44, "word": " اتنين", "probability": 0.92529296875}, {"start": 2379.44, "end": 2380.5, "word": " تكييب", "probability": 0.874169921875}, {"start": 2380.5, "end": 2381.1, "word": " في", "probability": 0.91552734375}, {"start": 2381.1, "end": 2382.1, "word": " الاتنين", "probability": 0.8331298828125}, {"start": 2382.1, "end": 2382.7, "word": " أس", "probability": 0.963623046875}, {"start": 2382.7, "end": 2383.26, "word": " ان", "probability": 0.80322265625}, {"start": 2383.26, "end": 2384.16, "word": " على", "probability": 0.642578125}, {"start": 2384.16, "end": 2384.96, "word": " تلاتة", "probability": 0.9722900390625}, {"start": 2384.96, "end": 2385.28, "word": " أس", "probability": 0.975341796875}, {"start": 2385.28, "end": 2385.66, "word": " ان", "probability": 0.8701171875}], "temperature": 1.0}, {"id": 99, "seek": 241204, "start": 2386.78, "end": 2412.04, "text": "أو ان شئتم فقولوا summation من n equal zero to infinity اتنين تكعيبة بقداش تمانية هذه اتنين أس ان ع تلاتة أس ان يعني اتنين ع تلاتة كله to the power n صارت geometric و converge كمان يبقى هذه بقول عنها converge", "tokens": [10721, 2407, 16472, 13412, 19986, 39237, 6156, 39648, 14407, 28811, 9154, 297, 2681, 4018, 281, 13202, 1975, 2655, 1863, 9957, 6055, 4117, 3615, 1829, 49401, 4724, 28543, 33599, 46811, 7649, 10632, 29538, 1975, 2655, 1863, 9957, 5551, 3794, 16472, 6225, 6055, 1211, 9307, 3660, 5551, 3794, 16472, 37495, 22653, 1975, 2655, 1863, 9957, 6225, 6055, 1211, 9307, 3660, 28242, 3224, 281, 264, 1347, 297, 20328, 9640, 2655, 33246, 4032, 41881, 9122, 2304, 7649, 7251, 3555, 4587, 7578, 29538, 4724, 39648, 18871, 11296, 41881], "avg_logprob": -0.2544642881978126, "compression_ratio": 1.5736040609137056, "no_speech_prob": 0.0, "words": [{"start": 2386.78, "end": 2387.14, "word": "أو", "probability": 0.6177978515625}, {"start": 2387.14, "end": 2387.3, "word": " ان", "probability": 0.53369140625}, {"start": 2387.3, "end": 2387.92, "word": " شئتم", "probability": 0.7957356770833334}, {"start": 2387.92, "end": 2389.16, "word": " فقولوا", "probability": 0.8107096354166666}, {"start": 2389.16, "end": 2390.32, "word": " summation", "probability": 0.6572265625}, {"start": 2390.32, "end": 2391.2, "word": " من", "probability": 0.93310546875}, {"start": 2391.2, "end": 2391.54, "word": " n", "probability": 0.319091796875}, {"start": 2391.54, "end": 2392.04, "word": " equal", "probability": 0.2098388671875}, {"start": 2392.04, "end": 2392.46, "word": " zero", "probability": 0.5908203125}, {"start": 2392.46, "end": 2392.7, "word": " to", "probability": 0.95556640625}, {"start": 2392.7, "end": 2393.24, "word": " infinity", "probability": 0.72412109375}, {"start": 2393.24, "end": 2393.68, "word": " اتنين", "probability": 0.76708984375}, {"start": 2393.68, "end": 2394.28, "word": " تكعيبة", "probability": 0.633056640625}, {"start": 2394.28, "end": 2395.1, "word": " بقداش", "probability": 0.5125325520833334}, {"start": 2395.1, "end": 2396.4, "word": " تمانية", "probability": 0.88818359375}, {"start": 2396.4, "end": 2396.78, "word": " هذه", "probability": 0.447998046875}, {"start": 2396.78, "end": 2397.36, "word": " اتنين", "probability": 0.9622802734375}, {"start": 2397.36, "end": 2397.72, "word": " أس", "probability": 0.644287109375}, {"start": 2397.72, "end": 2398.0, "word": " ان", "probability": 0.59375}, {"start": 2398.0, "end": 2398.28, "word": " ع", "probability": 0.71435546875}, {"start": 2398.28, "end": 2399.06, "word": " تلاتة", "probability": 0.84033203125}, {"start": 2399.06, "end": 2399.56, "word": " أس", "probability": 0.875732421875}, {"start": 2399.56, "end": 2399.94, "word": " ان", "probability": 0.583984375}, {"start": 2399.94, "end": 2400.92, "word": " يعني", "probability": 0.89453125}, {"start": 2400.92, "end": 2401.6, "word": " اتنين", "probability": 0.973876953125}, {"start": 2401.6, "end": 2401.88, "word": " ع", "probability": 0.9423828125}, {"start": 2401.88, "end": 2402.68, "word": " تلاتة", "probability": 0.982421875}, {"start": 2402.68, "end": 2403.18, "word": " كله", "probability": 0.88916015625}, {"start": 2403.18, "end": 2403.36, "word": " to", "probability": 0.93896484375}, {"start": 2403.36, "end": 2403.66, "word": " the", "probability": 0.900390625}, {"start": 2403.66, "end": 2404.26, "word": " power", "probability": 0.91650390625}, {"start": 2404.26, "end": 2405.2, "word": " n", "probability": 0.67578125}, {"start": 2405.2, "end": 2406.22, "word": " صارت", "probability": 0.9182942708333334}, {"start": 2406.22, "end": 2406.8, "word": " geometric", "probability": 0.398193359375}, {"start": 2406.8, "end": 2407.48, "word": " و", "probability": 0.94921875}, {"start": 2407.48, "end": 2408.18, "word": " converge", "probability": 0.8388671875}, {"start": 2408.18, "end": 2408.84, "word": " كمان", "probability": 0.9767252604166666}, {"start": 2408.84, "end": 2409.82, "word": " يبقى", "probability": 0.9549560546875}, {"start": 2409.82, "end": 2410.16, "word": " هذه", "probability": 0.75341796875}, {"start": 2410.16, "end": 2410.72, "word": " بقول", "probability": 0.967041015625}, {"start": 2410.72, "end": 2411.3, "word": " عنها", "probability": 0.99560546875}, {"start": 2411.3, "end": 2412.04, "word": " converge", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 100, "seek": 244164, "start": 2412.94, "end": 2441.64, "text": "جيومتريك سيريز السبب because ال absolute value لل R بده يساوي تلتين والتلتين أقل من الواحد الصحية بدنا المجموعة تبعها يبقى باجي بقوله it's some S ال S يساوي الحد الأول كده الحد الأول اللي عندنا", "tokens": [7435, 1829, 20498, 2655, 16572, 4117, 8608, 13546, 1829, 11622, 21136, 3555, 3555, 570, 2423, 8236, 2158, 24976, 497, 47525, 3224, 7251, 3794, 995, 45865, 6055, 1211, 2655, 9957, 16070, 2655, 1211, 2655, 9957, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 10632, 47525, 8315, 9673, 7435, 2304, 2407, 27884, 6055, 3555, 3615, 11296, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 309, 311, 512, 318, 2423, 318, 7251, 3794, 995, 45865, 21542, 3215, 16247, 12610, 9122, 3215, 3224, 21542, 3215, 16247, 12610, 13672, 1829, 43242, 8315], "avg_logprob": -0.23076923175172492, "compression_ratio": 1.6326530612244898, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2412.94, "end": 2414.44, "word": "جيومتريك", "probability": 0.6997782389322916}, {"start": 2414.44, "end": 2415.76, "word": " سيريز", "probability": 0.819091796875}, {"start": 2415.76, "end": 2416.98, "word": " السبب", "probability": 0.9230143229166666}, {"start": 2416.98, "end": 2418.12, "word": " because", "probability": 0.468017578125}, {"start": 2418.12, "end": 2420.04, "word": " ال", "probability": 0.68505859375}, {"start": 2420.04, "end": 2420.7, "word": " absolute", "probability": 0.603515625}, {"start": 2420.7, "end": 2421.42, "word": " value", "probability": 0.98681640625}, {"start": 2421.42, "end": 2421.7, "word": " لل", "probability": 0.65869140625}, {"start": 2421.7, "end": 2422.12, "word": " R", "probability": 0.355224609375}, {"start": 2422.12, "end": 2422.52, "word": " بده", "probability": 0.4415283203125}, {"start": 2422.52, "end": 2423.02, "word": " يساوي", "probability": 0.87451171875}, {"start": 2423.02, "end": 2423.92, "word": " تلتين", "probability": 0.940673828125}, {"start": 2423.92, "end": 2425.06, "word": " والتلتين", "probability": 0.858447265625}, {"start": 2425.06, "end": 2425.7, "word": " أقل", "probability": 0.83251953125}, {"start": 2425.7, "end": 2425.94, "word": " من", "probability": 0.9921875}, {"start": 2425.94, "end": 2426.42, "word": " الواحد", "probability": 0.92333984375}, {"start": 2426.42, "end": 2427.08, "word": " الصحية", "probability": 0.8136393229166666}, {"start": 2427.08, "end": 2427.92, "word": " بدنا", "probability": 0.898193359375}, {"start": 2427.92, "end": 2428.54, "word": " المجموعة", "probability": 0.92158203125}, {"start": 2428.54, "end": 2429.22, "word": " تبعها", "probability": 0.9410400390625}, {"start": 2429.22, "end": 2430.18, "word": " يبقى", "probability": 0.960205078125}, {"start": 2430.18, "end": 2430.64, "word": " باجي", "probability": 0.9059244791666666}, {"start": 2430.64, "end": 2431.5, "word": " بقوله", "probability": 0.9305013020833334}, {"start": 2431.5, "end": 2432.4, "word": " it's", "probability": 0.779541015625}, {"start": 2432.4, "end": 2433.5, "word": " some", "probability": 0.75634765625}, {"start": 2433.5, "end": 2435.18, "word": " S", "probability": 0.310791015625}, {"start": 2435.18, "end": 2436.04, "word": " ال", "probability": 0.62255859375}, {"start": 2436.04, "end": 2436.56, "word": " S", "probability": 0.796875}, {"start": 2436.56, "end": 2437.64, "word": " يساوي", "probability": 0.9652099609375}, {"start": 2437.64, "end": 2438.34, "word": " الحد", "probability": 0.9892578125}, {"start": 2438.34, "end": 2439.34, "word": " الأول", "probability": 0.962158203125}, {"start": 2439.34, "end": 2440.1, "word": " كده", "probability": 0.6854654947916666}, {"start": 2440.1, "end": 2440.56, "word": " الحد", "probability": 0.88818359375}, {"start": 2440.56, "end": 2440.98, "word": " الأول", "probability": 0.9677734375}, {"start": 2440.98, "end": 2441.18, "word": " اللي", "probability": 0.763671875}, {"start": 2441.18, "end": 2441.64, "word": " عندنا", "probability": 0.972412109375}], "temperature": 1.0}, {"id": 101, "seek": 246057, "start": 2442.25, "end": 2460.57, "text": "تمانية على مين؟ على واحد ناقص تلتين يبقى هذا الكلام بده يعطينا تمانية على تلت اللي هو بقى تداشر باربع وعشرين مجموع هذه ال series", "tokens": [39237, 7649, 10632, 15844, 3714, 9957, 22807, 15844, 36764, 24401, 8717, 995, 4587, 9381, 6055, 1211, 2655, 9957, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 37495, 9566, 1829, 8315, 46811, 7649, 10632, 15844, 6055, 1211, 2655, 13672, 1829, 31439, 4724, 4587, 7578, 6055, 3215, 33599, 2288, 4724, 9640, 3555, 3615, 4032, 3615, 46309, 9957, 3714, 7435, 2304, 45367, 29538, 2423, 2638], "avg_logprob": -0.19807692307692307, "compression_ratio": 1.5586206896551724, "no_speech_prob": 0.0, "words": [{"start": 2442.25, "end": 2443.21, "word": "تمانية", "probability": 0.796630859375}, {"start": 2443.21, "end": 2444.13, "word": " على", "probability": 0.6650390625}, {"start": 2444.13, "end": 2444.97, "word": " مين؟", "probability": 0.9033203125}, {"start": 2444.97, "end": 2445.37, "word": " على", "probability": 0.88232421875}, {"start": 2445.37, "end": 2446.11, "word": " واحد", "probability": 0.994140625}, {"start": 2446.11, "end": 2447.41, "word": " ناقص", "probability": 0.9122314453125}, {"start": 2447.41, "end": 2448.59, "word": " تلتين", "probability": 0.8294677734375}, {"start": 2448.59, "end": 2449.81, "word": " يبقى", "probability": 0.923828125}, {"start": 2449.81, "end": 2450.11, "word": " هذا", "probability": 0.951171875}, {"start": 2450.11, "end": 2450.71, "word": " الكلام", "probability": 0.9656575520833334}, {"start": 2450.71, "end": 2451.09, "word": " بده", "probability": 0.4998779296875}, {"start": 2451.09, "end": 2451.67, "word": " يعطينا", "probability": 0.934326171875}, {"start": 2451.67, "end": 2452.65, "word": " تمانية", "probability": 0.9586588541666666}, {"start": 2452.65, "end": 2453.57, "word": " على", "probability": 0.84521484375}, {"start": 2453.57, "end": 2454.19, "word": " تلت", "probability": 0.9723307291666666}, {"start": 2454.19, "end": 2454.35, "word": " اللي", "probability": 0.8408203125}, {"start": 2454.35, "end": 2454.45, "word": " هو", "probability": 0.8310546875}, {"start": 2454.45, "end": 2454.63, "word": " بقى", "probability": 0.759765625}, {"start": 2454.63, "end": 2455.59, "word": " تداشر", "probability": 0.524383544921875}, {"start": 2455.59, "end": 2456.33, "word": " باربع", "probability": 0.7755126953125}, {"start": 2456.33, "end": 2457.21, "word": " وعشرين", "probability": 0.8697509765625}, {"start": 2457.21, "end": 2458.17, "word": " مجموع", "probability": 0.931396484375}, {"start": 2458.17, "end": 2458.85, "word": " هذه", "probability": 0.94091796875}, {"start": 2458.85, "end": 2459.97, "word": " ال", "probability": 0.91357421875}, {"start": 2459.97, "end": 2460.57, "word": " series", "probability": 0.93408203125}], "temperature": 1.0}, {"id": 102, "seek": 249577, "start": 2472.07, "end": 2495.77, "text": "طيب نعطي كمان مثال مثال تلاتة مثال تلاتة نقول ال summation من n equal zero to infinity ل cosine n pi على خمسة to the power n", "tokens": [9566, 1829, 3555, 8717, 3615, 9566, 1829, 9122, 2304, 7649, 50113, 6027, 50113, 6027, 6055, 1211, 9307, 3660, 50113, 6027, 6055, 1211, 9307, 3660, 8717, 39648, 2423, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 23565, 297, 3895, 15844, 16490, 2304, 3794, 3660, 281, 264, 1347, 297], "avg_logprob": -0.2145182273040215, "compression_ratio": 1.3206106870229009, "no_speech_prob": 0.0, "words": [{"start": 2472.07, "end": 2472.53, "word": "طيب", "probability": 0.7613118489583334}, {"start": 2472.53, "end": 2473.43, "word": " نعطي", "probability": 0.79296875}, {"start": 2473.43, "end": 2473.93, "word": " كمان", "probability": 0.93408203125}, {"start": 2473.93, "end": 2474.69, "word": " مثال", "probability": 0.99267578125}, {"start": 2474.69, "end": 2476.47, "word": " مثال", "probability": 0.93701171875}, {"start": 2476.47, "end": 2479.25, "word": " تلاتة", "probability": 0.8792724609375}, {"start": 2479.25, "end": 2482.89, "word": " مثال", "probability": 0.974609375}, {"start": 2482.89, "end": 2483.95, "word": " تلاتة", "probability": 0.95556640625}, {"start": 2483.95, "end": 2484.53, "word": " نقول", "probability": 0.7384033203125}, {"start": 2484.53, "end": 2484.73, "word": " ال", "probability": 0.3291015625}, {"start": 2484.73, "end": 2485.49, "word": " summation", "probability": 0.5146484375}, {"start": 2485.49, "end": 2486.53, "word": " من", "probability": 0.95947265625}, {"start": 2486.53, "end": 2486.85, "word": " n", "probability": 0.482177734375}, {"start": 2486.85, "end": 2487.41, "word": " equal", "probability": 0.346923828125}, {"start": 2487.41, "end": 2487.89, "word": " zero", "probability": 0.6640625}, {"start": 2487.89, "end": 2488.21, "word": " to", "probability": 0.97509765625}, {"start": 2488.21, "end": 2489.13, "word": " infinity", "probability": 0.88330078125}, {"start": 2489.13, "end": 2490.13, "word": " ل", "probability": 0.875}, {"start": 2490.13, "end": 2490.97, "word": " cosine", "probability": 0.654296875}, {"start": 2490.97, "end": 2491.77, "word": " n", "probability": 0.818359375}, {"start": 2491.77, "end": 2492.41, "word": " pi", "probability": 0.466796875}, {"start": 2492.41, "end": 2493.45, "word": " على", "probability": 0.6435546875}, {"start": 2493.45, "end": 2494.41, "word": " خمسة", "probability": 0.94482421875}, {"start": 2494.41, "end": 2494.61, "word": " to", "probability": 0.974609375}, {"start": 2494.61, "end": 2494.83, "word": " the", "probability": 0.9267578125}, {"start": 2494.83, "end": 2495.33, "word": " power", "probability": 0.89990234375}, {"start": 2495.33, "end": 2495.77, "word": " n", "probability": 0.89404296875}], "temperature": 1.0}, {"id": 103, "seek": 252604, "start": 2501.26, "end": 2526.04, "text": "اللي بنظر لهذا السؤال لأول وهلة بقول هذا وش جابله و لا ال geometric شوفوا علاقة في ال geometric بقولك تعالى نشوف هل هي geometric ولا ماهياش geometric فبعدين بقوله خلينا نتعرف على الشكلة وبعدين بنحكم هل هي geometric ولا غير geometric فبعدين بقول لو كانت n تساوزي ل cosine سكر", "tokens": [6027, 20292, 4724, 1863, 19913, 2288, 46740, 15730, 21136, 33604, 6027, 5296, 10721, 12610, 4032, 3224, 37977, 4724, 39648, 23758, 4032, 8592, 10874, 16758, 43761, 4032, 20193, 2423, 33246, 13412, 38688, 14407, 11203, 995, 28671, 8978, 2423, 33246, 4724, 39648, 4117, 37279, 6027, 7578, 8717, 8592, 38688, 8032, 1211, 39896, 33246, 49429, 19446, 3224, 1829, 33599, 33246, 6156, 3555, 22488, 9957, 4724, 39648, 3224, 16490, 1211, 9957, 995, 8717, 2655, 3615, 28480, 15844, 25124, 28820, 3660, 46599, 22488, 9957, 44945, 5016, 24793, 8032, 1211, 39896, 33246, 49429, 32771, 13546, 33246, 6156, 3555, 22488, 9957, 4724, 39648, 45164, 25961, 2655, 297, 6055, 3794, 995, 2407, 11622, 1829, 5296, 23565, 8608, 37983], "avg_logprob": -0.2972973091108305, "compression_ratio": 1.995433789954338, "no_speech_prob": 0.0, "words": [{"start": 2501.26, "end": 2501.58, "word": "اللي", "probability": 0.434814453125}, {"start": 2501.58, "end": 2502.0, "word": " بنظر", "probability": 0.8587646484375}, {"start": 2502.0, "end": 2502.5, "word": " لهذا", "probability": 0.66650390625}, {"start": 2502.5, "end": 2503.04, "word": " السؤال", "probability": 0.9939778645833334}, {"start": 2503.04, "end": 2503.78, "word": " لأول", "probability": 0.8785807291666666}, {"start": 2503.78, "end": 2504.4, "word": " وهلة", "probability": 0.79736328125}, {"start": 2504.4, "end": 2505.34, "word": " بقول", "probability": 0.4500732421875}, {"start": 2505.34, "end": 2505.58, "word": " هذا", "probability": 0.716796875}, {"start": 2505.58, "end": 2505.86, "word": " وش", "probability": 0.720703125}, {"start": 2505.86, "end": 2506.22, "word": " جابله", "probability": 0.6293131510416666}, {"start": 2506.22, "end": 2506.42, "word": " و", "probability": 0.283447265625}, {"start": 2506.42, "end": 2506.52, "word": " لا", "probability": 0.94873046875}, {"start": 2506.52, "end": 2506.74, "word": " ال", "probability": 0.7939453125}, {"start": 2506.74, "end": 2507.06, "word": " geometric", "probability": 0.35986328125}, {"start": 2507.06, "end": 2507.58, "word": " شوفوا", "probability": 0.6963704427083334}, {"start": 2507.58, "end": 2507.88, "word": " علاقة", "probability": 0.6381022135416666}, {"start": 2507.88, "end": 2508.06, "word": " في", "probability": 0.74755859375}, {"start": 2508.06, "end": 2508.16, "word": " ال", "probability": 0.9833984375}, {"start": 2508.16, "end": 2508.66, "word": " geometric", "probability": 0.84912109375}, {"start": 2508.66, "end": 2509.86, "word": " بقولك", "probability": 0.6368815104166666}, {"start": 2509.86, "end": 2510.2, "word": " تعالى", "probability": 0.9140625}, {"start": 2510.2, "end": 2510.58, "word": " نشوف", "probability": 0.9817708333333334}, {"start": 2510.58, "end": 2510.84, "word": " هل", "probability": 0.9609375}, {"start": 2510.84, "end": 2511.06, "word": " هي", "probability": 0.86474609375}, {"start": 2511.06, "end": 2511.7, "word": " geometric", "probability": 0.440673828125}, {"start": 2511.7, "end": 2512.08, "word": " ولا", "probability": 0.394775390625}, {"start": 2512.08, "end": 2512.9, "word": " ماهياش", "probability": 0.9327392578125}, {"start": 2512.9, "end": 2514.08, "word": " geometric", "probability": 0.70068359375}, {"start": 2514.08, "end": 2515.12, "word": " فبعدين", "probability": 0.8099365234375}, {"start": 2515.12, "end": 2515.62, "word": " بقوله", "probability": 0.9475911458333334}, {"start": 2515.62, "end": 2516.3, "word": " خلينا", "probability": 0.733642578125}, {"start": 2516.3, "end": 2517.0, "word": " نتعرف", "probability": 0.991943359375}, {"start": 2517.0, "end": 2517.28, "word": " على", "probability": 0.8193359375}, {"start": 2517.28, "end": 2518.12, "word": " الشكلة", "probability": 0.8624674479166666}, {"start": 2518.12, "end": 2519.04, "word": " وبعدين", "probability": 0.8333333333333334}, {"start": 2519.04, "end": 2519.62, "word": " بنحكم", "probability": 0.8821614583333334}, {"start": 2519.62, "end": 2519.84, "word": " هل", "probability": 0.935302734375}, {"start": 2519.84, "end": 2519.96, "word": " هي", "probability": 0.96533203125}, {"start": 2519.96, "end": 2520.48, "word": " geometric", "probability": 0.78759765625}, {"start": 2520.48, "end": 2520.78, "word": " ولا", "probability": 0.888671875}, {"start": 2520.78, "end": 2521.02, "word": " غير", "probability": 0.990966796875}, {"start": 2521.02, "end": 2521.72, "word": " geometric", "probability": 0.81884765625}, {"start": 2521.72, "end": 2522.6, "word": " فبعدين", "probability": 0.9736328125}, {"start": 2522.6, "end": 2522.9, "word": " بقول", "probability": 0.979736328125}, {"start": 2522.9, "end": 2523.14, "word": " لو", "probability": 0.88427734375}, {"start": 2523.14, "end": 2523.62, "word": " كانت", "probability": 0.958251953125}, {"start": 2523.62, "end": 2523.96, "word": " n", "probability": 0.2147216796875}, {"start": 2523.96, "end": 2524.86, "word": " تساوزي", "probability": 0.6814371744791666}, {"start": 2524.86, "end": 2524.96, "word": " ل", "probability": 0.369873046875}, {"start": 2524.96, "end": 2525.44, "word": " cosine", "probability": 0.373046875}, {"start": 2525.44, "end": 2526.04, "word": " سكر", "probability": 0.4388427734375}], "temperature": 1.0}, {"id": 104, "seek": 254581, "start": 2527.23, "end": 2545.81, "text": "بواحد خمسة والصفر يبقى ال term الأول بواحد زائد بعد zero بيجيني واحد بيصير ال cosine مية و تمانين سالب واحد يبقى هاي سالب واحد على خمسة حط لي N باتنين", "tokens": [3555, 14407, 24401, 16490, 2304, 3794, 3660, 16070, 9381, 5172, 2288, 7251, 3555, 4587, 7578, 2423, 1433, 16247, 12610, 4724, 14407, 24401, 30767, 16373, 3215, 39182, 4018, 4724, 1829, 7435, 9957, 1829, 36764, 24401, 4724, 1829, 9381, 13546, 2423, 23565, 3714, 10632, 4032, 46811, 7649, 9957, 8608, 6027, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 8032, 47302, 8608, 6027, 3555, 36764, 24401, 15844, 16490, 2304, 3794, 3660, 11331, 9566, 32239, 426, 4724, 9307, 1863, 9957], "avg_logprob": -0.2411595447675178, "compression_ratio": 1.6037735849056605, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2527.23, "end": 2527.91, "word": "بواحد", "probability": 0.5550130208333334}, {"start": 2527.91, "end": 2528.69, "word": " خمسة", "probability": 0.865478515625}, {"start": 2528.69, "end": 2529.49, "word": " والصفر", "probability": 0.7518310546875}, {"start": 2529.49, "end": 2530.53, "word": " يبقى", "probability": 0.86962890625}, {"start": 2530.53, "end": 2530.67, "word": " ال", "probability": 0.476806640625}, {"start": 2530.67, "end": 2530.93, "word": " term", "probability": 0.8544921875}, {"start": 2530.93, "end": 2531.55, "word": " الأول", "probability": 0.85009765625}, {"start": 2531.55, "end": 2532.21, "word": " بواحد", "probability": 0.9591471354166666}, {"start": 2532.21, "end": 2533.07, "word": " زائد", "probability": 0.86376953125}, {"start": 2533.07, "end": 2533.77, "word": " بعد", "probability": 0.77490234375}, {"start": 2533.77, "end": 2534.11, "word": " zero", "probability": 0.2890625}, {"start": 2534.11, "end": 2534.55, "word": " بيجيني", "probability": 0.7048828125}, {"start": 2534.55, "end": 2534.77, "word": " واحد", "probability": 0.98974609375}, {"start": 2534.77, "end": 2535.07, "word": " بيصير", "probability": 0.8028564453125}, {"start": 2535.07, "end": 2535.17, "word": " ال", "probability": 0.5830078125}, {"start": 2535.17, "end": 2535.51, "word": " cosine", "probability": 0.880859375}, {"start": 2535.51, "end": 2535.97, "word": " مية", "probability": 0.830810546875}, {"start": 2535.97, "end": 2536.13, "word": " و", "probability": 0.82958984375}, {"start": 2536.13, "end": 2537.11, "word": " تمانين", "probability": 0.9505208333333334}, {"start": 2537.11, "end": 2538.55, "word": " سالب", "probability": 0.8372395833333334}, {"start": 2538.55, "end": 2539.09, "word": " واحد", "probability": 0.9931640625}, {"start": 2539.09, "end": 2539.79, "word": " يبقى", "probability": 0.9561767578125}, {"start": 2539.79, "end": 2540.15, "word": " هاي", "probability": 0.682373046875}, {"start": 2540.15, "end": 2541.23, "word": " سالب", "probability": 0.92138671875}, {"start": 2541.23, "end": 2541.89, "word": " واحد", "probability": 0.9892578125}, {"start": 2541.89, "end": 2542.53, "word": " على", "probability": 0.8427734375}, {"start": 2542.53, "end": 2543.61, "word": " خمسة", "probability": 0.9915771484375}, {"start": 2543.61, "end": 2544.65, "word": " حط", "probability": 0.808349609375}, {"start": 2544.65, "end": 2544.83, "word": " لي", "probability": 0.334228515625}, {"start": 2544.83, "end": 2545.09, "word": " N", "probability": 0.35302734375}, {"start": 2545.09, "end": 2545.81, "word": " باتنين", "probability": 0.83709716796875}], "temperature": 1.0}, {"id": 105, "seek": 256509, "start": 2546.23, "end": 2565.09, "text": "بصير cos 2pi هو cos الصفر يعني مقدش بواحد على خمسة أس اتنين اللي بعده بحط تلاتة بصير cos تلاتة pi هو ال period لكتلة ال cosine مقدش", "tokens": [3555, 9381, 13546, 3792, 568, 22630, 31439, 3792, 31767, 5172, 2288, 37495, 22653, 3714, 28543, 8592, 4724, 14407, 24401, 15844, 16490, 2304, 3794, 3660, 5551, 3794, 1975, 2655, 1863, 9957, 13672, 1829, 39182, 3224, 4724, 5016, 9566, 6055, 1211, 9307, 3660, 4724, 9381, 13546, 3792, 6055, 1211, 9307, 3660, 3895, 31439, 2423, 2896, 5296, 4117, 2655, 37977, 2423, 23565, 3714, 28543, 8592], "avg_logprob": -0.29265874435031225, "compression_ratio": 1.4615384615384615, "no_speech_prob": 0.0, "words": [{"start": 2546.23, "end": 2546.53, "word": "بصير", "probability": 0.4944254557291667}, {"start": 2546.53, "end": 2546.97, "word": " cos", "probability": 0.268798828125}, {"start": 2546.97, "end": 2548.49, "word": " 2pi", "probability": 0.4803466796875}, {"start": 2548.49, "end": 2548.85, "word": " هو", "probability": 0.81591796875}, {"start": 2548.85, "end": 2549.33, "word": " cos", "probability": 0.7978515625}, {"start": 2549.33, "end": 2550.03, "word": " الصفر", "probability": 0.8435872395833334}, {"start": 2550.03, "end": 2550.27, "word": " يعني", "probability": 0.83837890625}, {"start": 2550.27, "end": 2551.03, "word": " مقدش", "probability": 0.7189127604166666}, {"start": 2551.03, "end": 2552.55, "word": " بواحد", "probability": 0.7823893229166666}, {"start": 2552.55, "end": 2553.35, "word": " على", "probability": 0.71337890625}, {"start": 2553.35, "end": 2554.61, "word": " خمسة", "probability": 0.932373046875}, {"start": 2554.61, "end": 2554.97, "word": " أس", "probability": 0.610107421875}, {"start": 2554.97, "end": 2555.69, "word": " اتنين", "probability": 0.9049072265625}, {"start": 2555.69, "end": 2556.43, "word": " اللي", "probability": 0.93603515625}, {"start": 2556.43, "end": 2557.35, "word": " بعده", "probability": 0.78466796875}, {"start": 2557.35, "end": 2557.93, "word": " بحط", "probability": 0.9339192708333334}, {"start": 2557.93, "end": 2558.45, "word": " تلاتة", "probability": 0.9005126953125}, {"start": 2558.45, "end": 2558.81, "word": " بصير", "probability": 0.9737955729166666}, {"start": 2558.81, "end": 2559.43, "word": " cos", "probability": 0.7587890625}, {"start": 2559.43, "end": 2560.79, "word": " تلاتة", "probability": 0.8809814453125}, {"start": 2560.79, "end": 2561.25, "word": " pi", "probability": 0.3203125}, {"start": 2561.25, "end": 2562.31, "word": " هو", "probability": 0.66845703125}, {"start": 2562.31, "end": 2562.55, "word": " ال", "probability": 0.96435546875}, {"start": 2562.55, "end": 2563.05, "word": " period", "probability": 0.9912109375}, {"start": 2563.05, "end": 2563.79, "word": " لكتلة", "probability": 0.6934814453125}, {"start": 2563.79, "end": 2563.95, "word": " ال", "probability": 0.7880859375}, {"start": 2563.95, "end": 2564.33, "word": " cosine", "probability": 0.56103515625}, {"start": 2564.33, "end": 2565.09, "word": " مقدش", "probability": 0.8057454427083334}], "temperature": 1.0}, {"id": 106, "seek": 257825, "start": 2573.27, "end": 2578.25, "text": "سالف واحد على خمسة كيلو", "tokens": [3794, 6027, 5172, 36764, 24401, 15844, 16490, 2304, 3794, 3660, 9122, 26895, 2407], "avg_logprob": -0.45647321215697695, "compression_ratio": 0.84, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2573.27, "end": 2574.67, "word": "سالف", "probability": 0.2854817708333333}, {"start": 2574.67, "end": 2576.07, "word": " واحد", "probability": 0.950927734375}, {"start": 2576.07, "end": 2576.75, "word": " على", "probability": 0.705078125}, {"start": 2576.75, "end": 2577.63, "word": " خمسة", "probability": 0.820068359375}, {"start": 2577.63, "end": 2578.25, "word": " كيلو", "probability": 0.9142252604166666}], "temperature": 1.0}, {"id": 107, "seek": 260761, "start": 2578.43, "end": 2607.61, "text": "زائد وضلك ماشي على هالشكل هذه هتوصل لواحد على خمسة أس in زائد الله أعلم بس الإشارة بقول سالب واحد أس in و بدي أتأكد هل الإشارة اللي أنا كاتبها هذه صح ولا غلط فباجي بقول احنا بدين من وين من عند ال zero يبقى zero zero بيكون يبقى داشر واحد term الأول مظبوط", "tokens": [11622, 16373, 3215, 4032, 11242, 23275, 3714, 33599, 1829, 15844, 8032, 6027, 8592, 28820, 29538, 8032, 2655, 2407, 36520, 5296, 14407, 24401, 15844, 16490, 2304, 3794, 3660, 5551, 3794, 294, 30767, 16373, 3215, 21984, 5551, 3615, 19528, 4724, 3794, 33688, 8592, 9640, 3660, 4724, 39648, 8608, 6027, 3555, 36764, 24401, 5551, 3794, 294, 4032, 4724, 16254, 5551, 2655, 10721, 4117, 3215, 8032, 1211, 33688, 8592, 9640, 3660, 13672, 1829, 41850, 9122, 9307, 3555, 11296, 29538, 20328, 5016, 49429, 32771, 1211, 9566, 6156, 3555, 26108, 1829, 4724, 39648, 1975, 5016, 8315, 47525, 9957, 9154, 4032, 9957, 9154, 43242, 2423, 4018, 7251, 3555, 4587, 7578, 4018, 4018, 4724, 1829, 30544, 7251, 3555, 4587, 7578, 11778, 33599, 2288, 36764, 24401, 1433, 16247, 12610, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.21006944515402354, "compression_ratio": 1.8270042194092826, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2578.43, "end": 2579.07, "word": "زائد", "probability": 0.55517578125}, {"start": 2579.07, "end": 2579.61, "word": " وضلك", "probability": 0.7169596354166666}, {"start": 2579.61, "end": 2580.03, "word": " ماشي", "probability": 0.9093424479166666}, {"start": 2580.03, "end": 2580.21, "word": " على", "probability": 0.828125}, {"start": 2580.21, "end": 2580.87, "word": " هالشكل", "probability": 0.7623291015625}, {"start": 2580.87, "end": 2581.35, "word": " هذه", "probability": 0.342041015625}, {"start": 2581.35, "end": 2582.75, "word": " هتوصل", "probability": 0.8995361328125}, {"start": 2582.75, "end": 2584.07, "word": " لواحد", "probability": 0.6275227864583334}, {"start": 2584.07, "end": 2584.45, "word": " على", "probability": 0.70849609375}, {"start": 2584.45, "end": 2585.39, "word": " خمسة", "probability": 0.954833984375}, {"start": 2585.39, "end": 2585.75, "word": " أس", "probability": 0.721923828125}, {"start": 2585.75, "end": 2586.13, "word": " in", "probability": 0.1666259765625}, {"start": 2586.13, "end": 2587.05, "word": " زائد", "probability": 0.9490559895833334}, {"start": 2587.05, "end": 2587.53, "word": " الله", "probability": 0.9189453125}, {"start": 2587.53, "end": 2588.13, "word": " أعلم", "probability": 0.94287109375}, {"start": 2588.13, "end": 2588.59, "word": " بس", "probability": 0.939208984375}, {"start": 2588.59, "end": 2589.73, "word": " الإشارة", "probability": 0.9818115234375}, {"start": 2589.73, "end": 2590.41, "word": " بقول", "probability": 0.95751953125}, {"start": 2590.41, "end": 2591.05, "word": " سالب", "probability": 0.9375}, {"start": 2591.05, "end": 2591.53, "word": " واحد", "probability": 0.989501953125}, {"start": 2591.53, "end": 2592.01, "word": " أس", "probability": 0.939208984375}, {"start": 2592.01, "end": 2592.37, "word": " in", "probability": 0.91064453125}, {"start": 2592.37, "end": 2592.87, "word": " و", "probability": 0.85400390625}, {"start": 2592.87, "end": 2593.15, "word": " بدي", "probability": 0.6092529296875}, {"start": 2593.15, "end": 2594.19, "word": " أتأكد", "probability": 0.941796875}, {"start": 2594.19, "end": 2594.73, "word": " هل", "probability": 0.95556640625}, {"start": 2594.73, "end": 2595.45, "word": " الإشارة", "probability": 0.9903564453125}, {"start": 2595.45, "end": 2595.57, "word": " اللي", "probability": 0.89794921875}, {"start": 2595.57, "end": 2595.67, "word": " أنا", "probability": 0.41796875}, {"start": 2595.67, "end": 2596.19, "word": " كاتبها", "probability": 0.936767578125}, {"start": 2596.19, "end": 2596.55, "word": " هذه", "probability": 0.75439453125}, {"start": 2596.55, "end": 2597.19, "word": " صح", "probability": 0.99267578125}, {"start": 2597.19, "end": 2597.65, "word": " ولا", "probability": 0.77734375}, {"start": 2597.65, "end": 2598.15, "word": " غلط", "probability": 0.9835611979166666}, {"start": 2598.15, "end": 2599.07, "word": " فباجي", "probability": 0.8399658203125}, {"start": 2599.07, "end": 2599.37, "word": " بقول", "probability": 0.938232421875}, {"start": 2599.37, "end": 2599.59, "word": " احنا", "probability": 0.9138997395833334}, {"start": 2599.59, "end": 2599.95, "word": " بدين", "probability": 0.78271484375}, {"start": 2599.95, "end": 2600.21, "word": " من", "probability": 0.982421875}, {"start": 2600.21, "end": 2600.67, "word": " وين", "probability": 0.927490234375}, {"start": 2600.67, "end": 2600.99, "word": " من", "probability": 0.619140625}, {"start": 2600.99, "end": 2601.31, "word": " عند", "probability": 0.966796875}, {"start": 2601.31, "end": 2601.53, "word": " ال", "probability": 0.93994140625}, {"start": 2601.53, "end": 2601.87, "word": " zero", "probability": 0.82275390625}, {"start": 2601.87, "end": 2602.87, "word": " يبقى", "probability": 0.971435546875}, {"start": 2602.87, "end": 2603.49, "word": " zero", "probability": 0.72412109375}, {"start": 2603.49, "end": 2604.01, "word": " zero", "probability": 0.45703125}, {"start": 2604.01, "end": 2604.41, "word": " بيكون", "probability": 0.6058349609375}, {"start": 2604.41, "end": 2604.59, "word": " يبقى", "probability": 0.894287109375}, {"start": 2604.59, "end": 2605.29, "word": " داشر", "probability": 0.5799967447916666}, {"start": 2605.29, "end": 2606.17, "word": " واحد", "probability": 0.98681640625}, {"start": 2606.17, "end": 2606.63, "word": " term", "probability": 0.70703125}, {"start": 2606.63, "end": 2607.11, "word": " الأول", "probability": 0.923828125}, {"start": 2607.11, "end": 2607.61, "word": " مظبوط", "probability": 0.8171875}], "temperature": 1.0}, {"id": 108, "seek": 263564, "start": 2608.1, "end": 2635.64, "text": "حط واحد بصير سالب خمس مظبوط حط n باثنين بصير واحد على خمسة تربيع مظبوط وهكذا يبقى كله سليم مائة بالمائة يبقى مسألة أصبحت على الشكل التالي summation من n equal zero to infinity لناقص واحد على خمسة كله to the power n", "tokens": [5016, 9566, 36764, 24401, 4724, 9381, 13546, 8608, 6027, 3555, 16490, 2304, 3794, 3714, 19913, 3555, 2407, 9566, 11331, 9566, 297, 4724, 5718, 104, 1863, 9957, 4724, 9381, 13546, 36764, 24401, 15844, 16490, 2304, 3794, 3660, 6055, 2288, 21292, 3615, 3714, 19913, 3555, 2407, 9566, 37037, 4117, 15730, 7251, 3555, 4587, 7578, 28242, 3224, 8608, 20292, 2304, 3714, 16373, 3660, 20666, 2304, 16373, 3660, 7251, 3555, 4587, 7578, 47524, 10721, 37977, 5551, 9381, 3555, 33753, 15844, 25124, 28820, 16712, 6027, 1829, 28811, 9154, 297, 2681, 4018, 281, 13202, 5296, 8315, 4587, 9381, 36764, 24401, 15844, 16490, 2304, 3794, 3660, 28242, 3224, 281, 264, 1347, 297], "avg_logprob": -0.19663914475800856, "compression_ratio": 1.6829268292682926, "no_speech_prob": 0.0, "words": [{"start": 2608.1, "end": 2608.62, "word": "حط", "probability": 0.39886474609375}, {"start": 2608.62, "end": 2609.48, "word": " واحد", "probability": 0.5853271484375}, {"start": 2609.48, "end": 2610.26, "word": " بصير", "probability": 0.8021647135416666}, {"start": 2610.26, "end": 2611.0, "word": " سالب", "probability": 0.8206380208333334}, {"start": 2611.0, "end": 2611.74, "word": " خمس", "probability": 0.9925130208333334}, {"start": 2611.74, "end": 2613.48, "word": " مظبوط", "probability": 0.800927734375}, {"start": 2613.48, "end": 2614.08, "word": " حط", "probability": 0.7236328125}, {"start": 2614.08, "end": 2614.38, "word": " n", "probability": 0.2900390625}, {"start": 2614.38, "end": 2615.4, "word": " باثنين", "probability": 0.7635498046875}, {"start": 2615.4, "end": 2616.02, "word": " بصير", "probability": 0.8767903645833334}, {"start": 2616.02, "end": 2616.64, "word": " واحد", "probability": 0.95849609375}, {"start": 2616.64, "end": 2616.88, "word": " على", "probability": 0.71826171875}, {"start": 2616.88, "end": 2617.56, "word": " خمسة", "probability": 0.896728515625}, {"start": 2617.56, "end": 2618.12, "word": " تربيع", "probability": 0.78955078125}, {"start": 2618.12, "end": 2618.98, "word": " مظبوط", "probability": 0.95224609375}, {"start": 2618.98, "end": 2619.62, "word": " وهكذا", "probability": 0.8483072916666666}, {"start": 2619.62, "end": 2620.0, "word": " يبقى", "probability": 0.906494140625}, {"start": 2620.0, "end": 2620.54, "word": " كله", "probability": 0.9814453125}, {"start": 2620.54, "end": 2621.02, "word": " سليم", "probability": 0.9388020833333334}, {"start": 2621.02, "end": 2621.44, "word": " مائة", "probability": 0.8587239583333334}, {"start": 2621.44, "end": 2622.06, "word": " بالمائة", "probability": 0.9571533203125}, {"start": 2622.06, "end": 2622.94, "word": " يبقى", "probability": 0.9764404296875}, {"start": 2622.94, "end": 2623.6, "word": " مسألة", "probability": 0.8753255208333334}, {"start": 2623.6, "end": 2624.58, "word": " أصبحت", "probability": 0.8118896484375}, {"start": 2624.58, "end": 2624.84, "word": " على", "probability": 0.923828125}, {"start": 2624.84, "end": 2625.56, "word": " الشكل", "probability": 0.934814453125}, {"start": 2625.56, "end": 2626.44, "word": " التالي", "probability": 0.962890625}, {"start": 2626.44, "end": 2627.14, "word": " summation", "probability": 0.89111328125}, {"start": 2627.14, "end": 2627.76, "word": " من", "probability": 0.92138671875}, {"start": 2627.76, "end": 2628.08, "word": " n", "probability": 0.8330078125}, {"start": 2628.08, "end": 2628.52, "word": " equal", "probability": 0.32470703125}, {"start": 2628.52, "end": 2628.9, "word": " zero", "probability": 0.69677734375}, {"start": 2628.9, "end": 2629.14, "word": " to", "probability": 0.93359375}, {"start": 2629.14, "end": 2629.88, "word": " infinity", "probability": 0.84716796875}, {"start": 2629.88, "end": 2631.32, "word": " لناقص", "probability": 0.78564453125}, {"start": 2631.32, "end": 2631.9, "word": " واحد", "probability": 0.985107421875}, {"start": 2631.9, "end": 2632.3, "word": " على", "probability": 0.8642578125}, {"start": 2632.3, "end": 2633.36, "word": " خمسة", "probability": 0.974853515625}, {"start": 2633.36, "end": 2634.0, "word": " كله", "probability": 0.970947265625}, {"start": 2634.0, "end": 2634.2, "word": " to", "probability": 0.96142578125}, {"start": 2634.2, "end": 2634.46, "word": " the", "probability": 0.912109375}, {"start": 2634.46, "end": 2635.1, "word": " power", "probability": 0.896484375}, {"start": 2635.1, "end": 2635.64, "word": " n", "probability": 0.83935546875}], "temperature": 1.0}, {"id": 109, "seek": 265151, "start": 2636.85, "end": 2651.51, "text": "ايه اش رايك هذه؟ Geometric؟ طب حد بقدر يقول يقدش الحد الاول فيها وعصا يقدش الاساس يبقى convert ولا divert؟", "tokens": [47302, 3224, 1975, 8592, 12602, 47302, 4117, 29538, 22807, 2876, 29470, 22807, 23032, 3555, 11331, 3215, 4724, 28543, 2288, 7251, 39648, 7251, 28543, 8592, 21542, 3215, 42963, 12610, 8978, 11296, 4032, 3615, 9381, 995, 7251, 28543, 8592, 2423, 32277, 32277, 7251, 3555, 4587, 7578, 7620, 49429, 23781, 22807], "avg_logprob": -0.4021046015681053, "compression_ratio": 1.3464566929133859, "no_speech_prob": 0.0, "words": [{"start": 2636.85, "end": 2637.21, "word": "ايه", "probability": 0.36639404296875}, {"start": 2637.21, "end": 2637.31, "word": " اش", "probability": 0.4742431640625}, {"start": 2637.31, "end": 2637.77, "word": " رايك", "probability": 0.8294270833333334}, {"start": 2637.77, "end": 2638.77, "word": " هذه؟", "probability": 0.416015625}, {"start": 2638.77, "end": 2641.41, "word": " Geometric؟", "probability": 0.725341796875}, {"start": 2641.41, "end": 2641.69, "word": " طب", "probability": 0.826416015625}, {"start": 2641.69, "end": 2641.99, "word": " حد", "probability": 0.90576171875}, {"start": 2641.99, "end": 2642.37, "word": " بقدر", "probability": 0.8660481770833334}, {"start": 2642.37, "end": 2642.57, "word": " يقول", "probability": 0.96533203125}, {"start": 2642.57, "end": 2643.07, "word": " يقدش", "probability": 0.4747721354166667}, {"start": 2643.07, "end": 2643.65, "word": " الحد", "probability": 0.98193359375}, {"start": 2643.65, "end": 2644.55, "word": " الاول", "probability": 0.786865234375}, {"start": 2644.55, "end": 2645.35, "word": " فيها", "probability": 0.6044921875}, {"start": 2645.35, "end": 2646.49, "word": " وعصا", "probability": 0.6871337890625}, {"start": 2646.49, "end": 2647.03, "word": " يقدش", "probability": 0.9036458333333334}, {"start": 2647.03, "end": 2647.99, "word": " الاساس", "probability": 0.8624674479166666}, {"start": 2647.99, "end": 2649.79, "word": " يبقى", "probability": 0.8638916015625}, {"start": 2649.79, "end": 2650.27, "word": " convert", "probability": 0.1954345703125}, {"start": 2650.27, "end": 2650.57, "word": " ولا", "probability": 0.875}, {"start": 2650.57, "end": 2651.51, "word": " divert؟", "probability": 0.671630859375}], "temperature": 1.0}, {"id": 110, "seek": 267226, "start": 2651.6, "end": 2672.26, "text": "يبقى هذه converge geometric series السبب because absolute value لل R يسوي absolute value لسالب خمس يسوي خمس أقل من الواحدة الصحية", "tokens": [1829, 3555, 4587, 7578, 29538, 416, 331, 432, 33246, 2638, 21136, 3555, 3555, 570, 8236, 2158, 24976, 497, 7251, 3794, 45865, 8236, 2158, 5296, 3794, 6027, 3555, 16490, 2304, 3794, 7251, 3794, 45865, 16490, 2304, 3794, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 3660, 31767, 5016, 10632], "avg_logprob": -0.21061198506504297, "compression_ratio": 1.313868613138686, "no_speech_prob": 0.0, "words": [{"start": 2651.6, "end": 2652.74, "word": "يبقى", "probability": 0.9168701171875}, {"start": 2652.74, "end": 2653.2, "word": " هذه", "probability": 0.62060546875}, {"start": 2653.2, "end": 2654.88, "word": " converge", "probability": 0.5596516927083334}, {"start": 2654.88, "end": 2656.4, "word": " geometric", "probability": 0.3994140625}, {"start": 2656.4, "end": 2658.26, "word": " series", "probability": 0.86767578125}, {"start": 2658.26, "end": 2659.96, "word": " السبب", "probability": 0.9697265625}, {"start": 2659.96, "end": 2661.2, "word": " because", "probability": 0.69677734375}, {"start": 2661.2, "end": 2662.36, "word": " absolute", "probability": 0.92529296875}, {"start": 2662.36, "end": 2663.6, "word": " value", "probability": 0.990234375}, {"start": 2663.6, "end": 2664.46, "word": " لل", "probability": 0.83544921875}, {"start": 2664.46, "end": 2664.92, "word": " R", "probability": 0.306396484375}, {"start": 2664.92, "end": 2665.6, "word": " يسوي", "probability": 0.7119954427083334}, {"start": 2665.6, "end": 2666.4, "word": " absolute", "probability": 0.89404296875}, {"start": 2666.4, "end": 2667.34, "word": " value", "probability": 0.99072265625}, {"start": 2667.34, "end": 2668.5, "word": " لسالب", "probability": 0.744873046875}, {"start": 2668.5, "end": 2669.08, "word": " خمس", "probability": 0.9503580729166666}, {"start": 2669.08, "end": 2669.78, "word": " يسوي", "probability": 0.8746744791666666}, {"start": 2669.78, "end": 2670.44, "word": " خمس", "probability": 0.98974609375}, {"start": 2670.44, "end": 2671.0, "word": " أقل", "probability": 0.9085286458333334}, {"start": 2671.0, "end": 2671.22, "word": " من", "probability": 0.99462890625}, {"start": 2671.22, "end": 2671.82, "word": " الواحدة", "probability": 0.8255615234375}, {"start": 2671.82, "end": 2672.26, "word": " الصحية", "probability": 0.93212890625}], "temperature": 1.0}, {"id": 111, "seek": 269838, "start": 2672.96, "end": 2698.38, "text": "ما دام Conversion يبقى إليها مجموع يبقى باجي بقوله S sum المجموع تبعها اللي هو S يسوى الحد الأول سألكوا قداش قبل قليل قولتولي واحد على واحد ناقص ناقص خمس يعني واحد على واحد وخمس واحد وخمس اللي هو قداش", "tokens": [15042, 11778, 10943, 2656, 29153, 7251, 3555, 4587, 7578, 11933, 20292, 11296, 3714, 7435, 2304, 45367, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 318, 2408, 9673, 7435, 2304, 45367, 6055, 3555, 3615, 11296, 13672, 1829, 31439, 318, 7251, 3794, 2407, 7578, 21542, 3215, 16247, 12610, 8608, 10721, 23275, 14407, 12174, 3215, 33599, 12174, 36150, 12174, 20292, 1211, 12174, 12610, 2655, 12610, 1829, 36764, 24401, 15844, 36764, 24401, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 16490, 2304, 3794, 37495, 22653, 36764, 24401, 15844, 36764, 24401, 4032, 9778, 2304, 3794, 36764, 24401, 4032, 9778, 2304, 3794, 13672, 1829, 31439, 12174, 3215, 33599], "avg_logprob": -0.16934523468925838, "compression_ratio": 1.9116022099447514, "no_speech_prob": 0.0, "words": [{"start": 2672.96, "end": 2673.22, "word": "ما", "probability": 0.1431884765625}, {"start": 2673.22, "end": 2673.54, "word": " دام", "probability": 0.855224609375}, {"start": 2673.54, "end": 2674.3, "word": " Conversion", "probability": 0.345733642578125}, {"start": 2674.3, "end": 2674.6, "word": " يبقى", "probability": 0.87255859375}, {"start": 2674.6, "end": 2675.04, "word": " إليها", "probability": 0.6300455729166666}, {"start": 2675.04, "end": 2675.78, "word": " مجموع", "probability": 0.959716796875}, {"start": 2675.78, "end": 2676.6, "word": " يبقى", "probability": 0.9384765625}, {"start": 2676.6, "end": 2677.1, "word": " باجي", "probability": 0.8771158854166666}, {"start": 2677.1, "end": 2677.82, "word": " بقوله", "probability": 0.765625}, {"start": 2677.82, "end": 2678.22, "word": " S", "probability": 0.435546875}, {"start": 2678.22, "end": 2679.0, "word": " sum", "probability": 0.53955078125}, {"start": 2679.0, "end": 2680.4, "word": " المجموع", "probability": 0.93359375}, {"start": 2680.4, "end": 2681.3, "word": " تبعها", "probability": 0.927978515625}, {"start": 2681.3, "end": 2681.72, "word": " اللي", "probability": 0.6912841796875}, {"start": 2681.72, "end": 2682.02, "word": " هو", "probability": 0.95654296875}, {"start": 2682.02, "end": 2682.44, "word": " S", "probability": 0.94189453125}, {"start": 2682.44, "end": 2683.6, "word": " يسوى", "probability": 0.829345703125}, {"start": 2683.6, "end": 2684.04, "word": " الحد", "probability": 0.911865234375}, {"start": 2684.04, "end": 2684.62, "word": " الأول", "probability": 0.96337890625}, {"start": 2684.62, "end": 2685.22, "word": " سألكوا", "probability": 0.8963623046875}, {"start": 2685.22, "end": 2685.84, "word": " قداش", "probability": 0.7630208333333334}, {"start": 2685.84, "end": 2686.3, "word": " قبل", "probability": 0.97900390625}, {"start": 2686.3, "end": 2686.84, "word": " قليل", "probability": 0.9933268229166666}, {"start": 2686.84, "end": 2687.52, "word": " قولتولي", "probability": 0.8509765625}, {"start": 2687.52, "end": 2688.08, "word": " واحد", "probability": 0.96435546875}, {"start": 2688.08, "end": 2689.14, "word": " على", "probability": 0.685546875}, {"start": 2689.14, "end": 2690.08, "word": " واحد", "probability": 0.98583984375}, {"start": 2690.08, "end": 2691.14, "word": " ناقص", "probability": 0.9664306640625}, {"start": 2691.14, "end": 2692.0, "word": " ناقص", "probability": 0.97705078125}, {"start": 2692.0, "end": 2692.54, "word": " خمس", "probability": 0.9710286458333334}, {"start": 2692.54, "end": 2693.42, "word": " يعني", "probability": 0.921142578125}, {"start": 2693.42, "end": 2694.16, "word": " واحد", "probability": 0.9873046875}, {"start": 2694.16, "end": 2694.48, "word": " على", "probability": 0.8369140625}, {"start": 2694.48, "end": 2695.26, "word": " واحد", "probability": 0.974853515625}, {"start": 2695.26, "end": 2696.32, "word": " وخمس", "probability": 0.9615478515625}, {"start": 2696.32, "end": 2696.88, "word": " واحد", "probability": 0.91357421875}, {"start": 2696.88, "end": 2697.36, "word": " وخمس", "probability": 0.9742431640625}, {"start": 2697.36, "end": 2697.52, "word": " اللي", "probability": 0.842529296875}, {"start": 2697.52, "end": 2697.68, "word": " هو", "probability": 0.9892578125}, {"start": 2697.68, "end": 2698.38, "word": " قداش", "probability": 0.9207356770833334}], "temperature": 1.0}, {"id": 112, "seek": 272759, "start": 2698.83, "end": 2727.59, "text": "6 أخمس يساوي خمس أسداث هذا المجموع تبع من؟ تبع ال series يعني جدرت أعرف ما هو شكل ال series و عقمت عليها هل هي converge او diver النقطة الرابعة اللي هي من؟ سالب تلتين تربية سالب تلتين تربية زائد", "tokens": [21, 5551, 9778, 2304, 3794, 7251, 3794, 995, 45865, 16490, 2304, 3794, 5551, 3794, 3215, 5718, 104, 23758, 9673, 7435, 2304, 45367, 6055, 3555, 3615, 9154, 22807, 6055, 3555, 3615, 2423, 2638, 37495, 22653, 10874, 3215, 43500, 5551, 3615, 28480, 19446, 31439, 13412, 28820, 2423, 2638, 4032, 6225, 4587, 2304, 2655, 25894, 11296, 8032, 1211, 39896, 41881, 1975, 2407, 18558, 28239, 47432, 3660, 34892, 16758, 27884, 13672, 1829, 39896, 9154, 22807, 8608, 6027, 3555, 6055, 1211, 2655, 9957, 6055, 25513, 10632, 8608, 6027, 3555, 6055, 1211, 2655, 9957, 6055, 25513, 10632, 30767, 16373, 3215], "avg_logprob": -0.22417763157894738, "compression_ratio": 1.708994708994709, "no_speech_prob": 0.0, "words": [{"start": 2698.83, "end": 2699.39, "word": "6", "probability": 0.21630859375}, {"start": 2699.39, "end": 2700.25, "word": " أخمس", "probability": 0.828369140625}, {"start": 2700.25, "end": 2700.99, "word": " يساوي", "probability": 0.71478271484375}, {"start": 2700.99, "end": 2701.77, "word": " خمس", "probability": 0.93359375}, {"start": 2701.77, "end": 2702.67, "word": " أسداث", "probability": 0.764697265625}, {"start": 2702.67, "end": 2703.37, "word": " هذا", "probability": 0.662109375}, {"start": 2703.37, "end": 2704.01, "word": " المجموع", "probability": 0.9737548828125}, {"start": 2704.01, "end": 2704.31, "word": " تبع", "probability": 0.8369140625}, {"start": 2704.31, "end": 2705.19, "word": " من؟", "probability": 0.539306640625}, {"start": 2705.19, "end": 2705.75, "word": " تبع", "probability": 0.953125}, {"start": 2705.75, "end": 2705.97, "word": " ال", "probability": 0.8681640625}, {"start": 2705.97, "end": 2706.51, "word": " series", "probability": 0.72216796875}, {"start": 2706.51, "end": 2707.71, "word": " يعني", "probability": 0.90869140625}, {"start": 2707.71, "end": 2708.65, "word": " جدرت", "probability": 0.8014322916666666}, {"start": 2708.65, "end": 2709.23, "word": " أعرف", "probability": 0.9401041666666666}, {"start": 2709.23, "end": 2709.45, "word": " ما", "probability": 0.94921875}, {"start": 2709.45, "end": 2709.71, "word": " هو", "probability": 0.90283203125}, {"start": 2709.71, "end": 2710.43, "word": " شكل", "probability": 0.91796875}, {"start": 2710.43, "end": 2711.23, "word": " ال", "probability": 0.970703125}, {"start": 2711.23, "end": 2711.89, "word": " series", "probability": 0.962890625}, {"start": 2711.89, "end": 2712.35, "word": " و", "probability": 0.60498046875}, {"start": 2712.35, "end": 2712.87, "word": " عقمت", "probability": 0.621673583984375}, {"start": 2712.87, "end": 2713.21, "word": " عليها", "probability": 0.950927734375}, {"start": 2713.21, "end": 2713.41, "word": " هل", "probability": 0.922607421875}, {"start": 2713.41, "end": 2713.61, "word": " هي", "probability": 0.85302734375}, {"start": 2713.61, "end": 2714.07, "word": " converge", "probability": 0.70849609375}, {"start": 2714.07, "end": 2715.03, "word": " او", "probability": 0.775634765625}, {"start": 2715.03, "end": 2715.57, "word": " diver", "probability": 0.362060546875}, {"start": 2715.57, "end": 2717.17, "word": " النقطة", "probability": 0.8167317708333334}, {"start": 2717.17, "end": 2718.01, "word": " الرابعة", "probability": 0.984375}, {"start": 2718.01, "end": 2718.77, "word": " اللي", "probability": 0.7066650390625}, {"start": 2718.77, "end": 2719.01, "word": " هي", "probability": 0.84423828125}, {"start": 2719.01, "end": 2719.61, "word": " من؟", "probability": 0.6058349609375}, {"start": 2719.61, "end": 2720.39, "word": " سالب", "probability": 0.8758138020833334}, {"start": 2720.39, "end": 2721.79, "word": " تلتين", "probability": 0.94091796875}, {"start": 2721.79, "end": 2722.59, "word": " تربية", "probability": 0.6943359375}, {"start": 2722.59, "end": 2725.05, "word": " سالب", "probability": 0.86474609375}, {"start": 2725.05, "end": 2725.79, "word": " تلتين", "probability": 0.9959716796875}, {"start": 2725.79, "end": 2726.77, "word": " تربية", "probability": 0.9729817708333334}, {"start": 2726.77, "end": 2727.59, "word": " زائد", "probability": 0.8264973958333334}], "temperature": 1.0}, {"id": 113, "seek": 274841, "start": 2727.91, "end": 2748.41, "text": "سالب تلتين تكيب، سالب تلتين تكيب، سالب تلتين تكيب، سالب تلتين تكيب، سالب تلتين تكيب، سالب تلتين تكيب، سالب تلتين تكيب، سالب تلتين تكيب،", "tokens": [3794, 6027, 3555, 6055, 1211, 2655, 9957, 6055, 4117, 1829, 3555, 12399, 8608, 6027, 3555, 6055, 1211, 2655, 9957, 6055, 4117, 1829, 3555, 12399, 8608, 6027, 3555, 6055, 1211, 2655, 9957, 6055, 4117, 1829, 3555, 12399, 8608, 6027, 3555, 6055, 1211, 2655, 9957, 6055, 4117, 1829, 3555, 12399, 8608, 6027, 3555, 6055, 1211, 2655, 9957, 6055, 4117, 1829, 3555, 12399, 8608, 6027, 3555, 6055, 1211, 2655, 9957, 6055, 4117, 1829, 3555, 12399, 8608, 6027, 3555, 6055, 1211, 2655, 9957, 6055, 4117, 1829, 3555, 12399, 8608, 6027, 3555, 6055, 1211, 2655, 9957, 6055, 4117, 1829, 3555, 12399], "avg_logprob": -0.15971327319587628, "compression_ratio": 6.024390243902439, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2727.91, "end": 2728.73, "word": "سالب", "probability": 0.6183268229166666}, {"start": 2728.73, "end": 2729.89, "word": " تلتين", "probability": 0.970458984375}, {"start": 2729.89, "end": 2731.01, "word": " تكيب،", "probability": 0.748828125}, {"start": 2731.01, "end": 2732.23, "word": " سالب", "probability": 0.8605143229166666}, {"start": 2732.23, "end": 2732.89, "word": " تلتين", "probability": 0.99609375}, {"start": 2732.89, "end": 2734.29, "word": " تكيب،", "probability": 0.9486328125}, {"start": 2734.29, "end": 2736.33, "word": " سالب", "probability": 0.6981201171875}, {"start": 2736.33, "end": 2737.39, "word": " تلتين", "probability": 0.960693359375}, {"start": 2737.39, "end": 2740.17, "word": " تكيب،", "probability": 0.805126953125}, {"start": 2740.17, "end": 2740.21, "word": " سالب", "probability": 0.783447265625}, {"start": 2740.21, "end": 2740.45, "word": " تلتين", "probability": 0.9920654296875}, {"start": 2740.45, "end": 2742.85, "word": " تكيب،", "probability": 0.96220703125}, {"start": 2742.85, "end": 2742.91, "word": " سالب", "probability": 0.8302408854166666}, {"start": 2742.91, "end": 2744.29, "word": " تلتين", "probability": 0.9931640625}, {"start": 2744.29, "end": 2744.47, "word": " تكيب،", "probability": 0.97734375}, {"start": 2744.47, "end": 2744.71, "word": " سالب", "probability": 0.8849283854166666}, {"start": 2744.71, "end": 2745.55, "word": " تلتين", "probability": 0.992431640625}, {"start": 2745.55, "end": 2746.05, "word": " تكيب،", "probability": 0.98427734375}, {"start": 2746.05, "end": 2746.05, "word": " سالب", "probability": 0.9274088541666666}, {"start": 2746.05, "end": 2746.05, "word": " تلتين", "probability": 0.9927978515625}, {"start": 2746.05, "end": 2746.41, "word": " تكيب،", "probability": 0.9888671875}, {"start": 2746.41, "end": 2747.09, "word": " سالب", "probability": 0.9464518229166666}, {"start": 2747.09, "end": 2747.99, "word": " تلتين", "probability": 0.9937744140625}, {"start": 2747.99, "end": 2748.41, "word": " تكيب،", "probability": 0.99140625}], "temperature": 1.0}, {"id": 114, "seek": 278273, "start": 2758.71, "end": 2782.73, "text": "خلّيني أبقى بالكم معانا حد بيقدر يجيب لجدّاه شكل الحد النوني لهذه السيرة؟ ايه يقول؟ يعني شكل الحد النوني هو سالب تلتين قصر تعالي شوف", "tokens": [9778, 1211, 11703, 9957, 1829, 5551, 3555, 4587, 7578, 20666, 24793, 20449, 995, 8315, 11331, 3215, 4724, 1829, 28543, 2288, 7251, 7435, 1829, 3555, 5296, 7435, 3215, 11703, 40294, 13412, 28820, 21542, 3215, 28239, 11536, 1829, 46740, 24192, 21136, 48923, 22807, 1975, 1829, 3224, 7251, 39648, 22807, 37495, 22653, 13412, 28820, 21542, 3215, 28239, 11536, 1829, 31439, 8608, 6027, 3555, 6055, 1211, 2655, 9957, 12174, 9381, 2288, 37279, 6027, 1829, 13412, 38688], "avg_logprob": -0.31913528377062655, "compression_ratio": 1.6666666666666667, "no_speech_prob": 0.0, "words": [{"start": 2758.71, "end": 2759.07, "word": "خلّيني", "probability": 0.689013671875}, {"start": 2759.07, "end": 2759.15, "word": " أبقى", "probability": 0.62469482421875}, {"start": 2759.15, "end": 2759.33, "word": " بالكم", "probability": 0.51019287109375}, {"start": 2759.33, "end": 2760.21, "word": " معانا", "probability": 0.592529296875}, {"start": 2760.21, "end": 2762.17, "word": " حد", "probability": 0.724609375}, {"start": 2762.17, "end": 2762.65, "word": " بيقدر", "probability": 0.862548828125}, {"start": 2762.65, "end": 2763.03, "word": " يجيب", "probability": 0.99169921875}, {"start": 2763.03, "end": 2763.55, "word": " لجدّاه", "probability": 0.681103515625}, {"start": 2763.55, "end": 2764.21, "word": " شكل", "probability": 0.916259765625}, {"start": 2764.21, "end": 2764.95, "word": " الحد", "probability": 0.989990234375}, {"start": 2764.95, "end": 2765.49, "word": " النوني", "probability": 0.8953450520833334}, {"start": 2765.49, "end": 2765.95, "word": " لهذه", "probability": 0.964599609375}, {"start": 2765.95, "end": 2767.65, "word": " السيرة؟", "probability": 0.322265625}, {"start": 2767.65, "end": 2767.93, "word": " ايه", "probability": 0.53564453125}, {"start": 2767.93, "end": 2769.37, "word": " يقول؟", "probability": 0.5926106770833334}, {"start": 2769.37, "end": 2774.19, "word": " يعني", "probability": 0.818603515625}, {"start": 2774.19, "end": 2774.77, "word": " شكل", "probability": 0.955810546875}, {"start": 2774.77, "end": 2775.51, "word": " الحد", "probability": 0.99365234375}, {"start": 2775.51, "end": 2776.51, "word": " النوني", "probability": 0.96826171875}, {"start": 2776.51, "end": 2777.39, "word": " هو", "probability": 0.97021484375}, {"start": 2777.39, "end": 2778.47, "word": " سالب", "probability": 0.7840983072916666}, {"start": 2778.47, "end": 2779.79, "word": " تلتين", "probability": 0.9278564453125}, {"start": 2779.79, "end": 2781.23, "word": " قصر", "probability": 0.7980143229166666}, {"start": 2781.23, "end": 2782.41, "word": " تعالي", "probability": 0.7633463541666666}, {"start": 2782.41, "end": 2782.73, "word": " شوف", "probability": 0.796630859375}], "temperature": 1.0}, {"id": 115, "seek": 279806, "start": 2783.72, "end": 2798.06, "text": "هنا لما كانت N بواحد كانت تربية لما N باتنين صارت تكيب إلى آخرها يبقى كداش N زائد واحد كده", "tokens": [3224, 8315, 5296, 15042, 25961, 2655, 426, 4724, 14407, 24401, 25961, 2655, 6055, 2288, 21292, 3660, 5296, 15042, 426, 4724, 9307, 1863, 9957, 20328, 9640, 2655, 6055, 4117, 1829, 3555, 30731, 19753, 34740, 11296, 7251, 3555, 4587, 7578, 9122, 3215, 33599, 426, 30767, 16373, 3215, 36764, 24401, 9122, 3215, 3224], "avg_logprob": -0.3020833228148666, "compression_ratio": 1.4495412844036697, "no_speech_prob": 0.0, "words": [{"start": 2783.72, "end": 2784.38, "word": "هنا", "probability": 0.68798828125}, {"start": 2784.38, "end": 2785.34, "word": " لما", "probability": 0.7744140625}, {"start": 2785.34, "end": 2785.92, "word": " كانت", "probability": 0.82763671875}, {"start": 2785.92, "end": 2786.14, "word": " N", "probability": 0.285888671875}, {"start": 2786.14, "end": 2786.72, "word": " بواحد", "probability": 0.900390625}, {"start": 2786.72, "end": 2787.22, "word": " كانت", "probability": 0.85009765625}, {"start": 2787.22, "end": 2787.58, "word": " تربية", "probability": 0.73046875}, {"start": 2787.58, "end": 2787.88, "word": " لما", "probability": 0.870849609375}, {"start": 2787.88, "end": 2788.16, "word": " N", "probability": 0.78076171875}, {"start": 2788.16, "end": 2788.78, "word": " باتنين", "probability": 0.8599853515625}, {"start": 2788.78, "end": 2789.24, "word": " صارت", "probability": 0.8976236979166666}, {"start": 2789.24, "end": 2789.78, "word": " تكيب", "probability": 0.851318359375}, {"start": 2789.78, "end": 2790.18, "word": " إلى", "probability": 0.583984375}, {"start": 2790.18, "end": 2791.18, "word": " آخرها", "probability": 0.833984375}, {"start": 2791.18, "end": 2792.16, "word": " يبقى", "probability": 0.591583251953125}, {"start": 2792.16, "end": 2792.82, "word": " كداش", "probability": 0.7325846354166666}, {"start": 2792.82, "end": 2794.34, "word": " N", "probability": 0.52734375}, {"start": 2794.34, "end": 2796.5, "word": " زائد", "probability": 0.8008626302083334}, {"start": 2796.5, "end": 2797.06, "word": " واحد", "probability": 0.966064453125}, {"start": 2797.06, "end": 2798.06, "word": " كده", "probability": 0.7032877604166666}], "temperature": 1.0}, {"id": 116, "seek": 283045, "start": 2801.67, "end": 2830.45, "text": "ممتاز جدا يبجى لو كتبت بهذا الشكل معناته ال N بيبدأ من وين؟ ممتاز جدا يبجى زائد إلى احد يعني ال summation لسلب تلتين أس N زائد واحد من عند N تسوى واحد إلى انفينيته ماشي الحل بدي أبدأ من عند ال zero كويس يبجى بدي أشيل كل N و أحط مكانها", "tokens": [2304, 2304, 2655, 31377, 10874, 28259, 7251, 3555, 7435, 7578, 45164, 9122, 2655, 3555, 2655, 39627, 15730, 25124, 28820, 20449, 8315, 47395, 2423, 426, 4724, 1829, 44510, 10721, 9154, 4032, 9957, 22807, 3714, 2304, 2655, 31377, 10874, 28259, 7251, 3555, 7435, 7578, 30767, 16373, 3215, 30731, 1975, 24401, 37495, 22653, 2423, 28811, 5296, 3794, 46152, 6055, 1211, 2655, 9957, 5551, 3794, 426, 30767, 16373, 3215, 36764, 24401, 9154, 43242, 426, 6055, 3794, 2407, 7578, 36764, 24401, 30731, 16472, 5172, 9957, 36081, 3224, 3714, 33599, 1829, 21542, 1211, 4724, 16254, 5551, 44510, 10721, 9154, 43242, 2423, 4018, 9122, 45865, 3794, 7251, 3555, 7435, 7578, 4724, 16254, 5551, 8592, 26895, 28242, 426, 4032, 5551, 5016, 9566, 3714, 41361, 11296], "avg_logprob": -0.2907838846667338, "compression_ratio": 1.8018018018018018, "no_speech_prob": 0.0, "words": [{"start": 2801.67, "end": 2802.53, "word": "ممتاز", "probability": 0.8673095703125}, {"start": 2802.53, "end": 2802.73, "word": " جدا", "probability": 0.8330078125}, {"start": 2802.73, "end": 2802.91, "word": " يبجى", "probability": 0.621795654296875}, {"start": 2802.91, "end": 2803.09, "word": " لو", "probability": 0.5556640625}, {"start": 2803.09, "end": 2803.83, "word": " كتبت", "probability": 0.9710693359375}, {"start": 2803.83, "end": 2804.37, "word": " بهذا", "probability": 0.708984375}, {"start": 2804.37, "end": 2804.89, "word": " الشكل", "probability": 0.984130859375}, {"start": 2804.89, "end": 2805.91, "word": " معناته", "probability": 0.7488606770833334}, {"start": 2805.91, "end": 2806.13, "word": " ال", "probability": 0.9111328125}, {"start": 2806.13, "end": 2806.27, "word": " N", "probability": 0.382080078125}, {"start": 2806.27, "end": 2806.69, "word": " بيبدأ", "probability": 0.6510009765625}, {"start": 2806.69, "end": 2806.93, "word": " من", "probability": 0.7060546875}, {"start": 2806.93, "end": 2807.45, "word": " وين؟", "probability": 0.6920572916666666}, {"start": 2807.45, "end": 2808.71, "word": " ممتاز", "probability": 0.8983154296875}, {"start": 2808.71, "end": 2809.03, "word": " جدا", "probability": 0.98974609375}, {"start": 2809.03, "end": 2809.67, "word": " يبجى", "probability": 0.9805908203125}, {"start": 2809.67, "end": 2810.65, "word": " زائد", "probability": 0.7412923177083334}, {"start": 2810.65, "end": 2810.97, "word": " إلى", "probability": 0.83544921875}, {"start": 2810.97, "end": 2811.31, "word": " احد", "probability": 0.5654296875}, {"start": 2811.31, "end": 2812.13, "word": " يعني", "probability": 0.82568359375}, {"start": 2812.13, "end": 2812.37, "word": " ال", "probability": 0.30712890625}, {"start": 2812.37, "end": 2813.23, "word": " summation", "probability": 0.92333984375}, {"start": 2813.23, "end": 2814.83, "word": " لسلب", "probability": 0.646240234375}, {"start": 2814.83, "end": 2815.83, "word": " تلتين", "probability": 0.939697265625}, {"start": 2815.83, "end": 2816.33, "word": " أس", "probability": 0.582763671875}, {"start": 2816.33, "end": 2816.71, "word": " N", "probability": 0.8955078125}, {"start": 2816.71, "end": 2817.35, "word": " زائد", "probability": 0.9700520833333334}, {"start": 2817.35, "end": 2817.89, "word": " واحد", "probability": 0.985107421875}, {"start": 2817.89, "end": 2818.37, "word": " من", "probability": 0.63671875}, {"start": 2818.37, "end": 2818.59, "word": " عند", "probability": 0.9619140625}, {"start": 2818.59, "end": 2818.93, "word": " N", "probability": 0.8671875}, {"start": 2818.93, "end": 2819.49, "word": " تسوى", "probability": 0.8291015625}, {"start": 2819.49, "end": 2820.03, "word": " واحد", "probability": 0.985595703125}, {"start": 2820.03, "end": 2820.57, "word": " إلى", "probability": 0.88818359375}, {"start": 2820.57, "end": 2821.87, "word": " انفينيته", "probability": 0.4619873046875}, {"start": 2821.87, "end": 2824.33, "word": " ماشي", "probability": 0.6053059895833334}, {"start": 2824.33, "end": 2824.59, "word": " الحل", "probability": 0.8857421875}, {"start": 2824.59, "end": 2824.89, "word": " بدي", "probability": 0.5322265625}, {"start": 2824.89, "end": 2825.17, "word": " أبدأ", "probability": 0.8307291666666666}, {"start": 2825.17, "end": 2825.29, "word": " من", "probability": 0.96337890625}, {"start": 2825.29, "end": 2825.55, "word": " عند", "probability": 0.97802734375}, {"start": 2825.55, "end": 2825.73, "word": " ال", "probability": 0.52783203125}, {"start": 2825.73, "end": 2826.13, "word": " zero", "probability": 0.59765625}, {"start": 2826.13, "end": 2827.05, "word": " كويس", "probability": 0.7191975911458334}, {"start": 2827.05, "end": 2827.63, "word": " يبجى", "probability": 0.8931884765625}, {"start": 2827.63, "end": 2827.93, "word": " بدي", "probability": 0.628662109375}, {"start": 2827.93, "end": 2828.43, "word": " أشيل", "probability": 0.9353841145833334}, {"start": 2828.43, "end": 2828.89, "word": " كل", "probability": 0.9775390625}, {"start": 2828.89, "end": 2829.15, "word": " N", "probability": 0.955078125}, {"start": 2829.15, "end": 2829.33, "word": " و", "probability": 0.9765625}, {"start": 2829.33, "end": 2829.69, "word": " أحط", "probability": 0.89892578125}, {"start": 2829.69, "end": 2830.45, "word": " مكانها", "probability": 0.994140625}], "temperature": 1.0}, {"id": 117, "seek": 285831, "start": 2831.03, "end": 2858.31, "text": "ن زائد اتنين او اتن زائد واحد ان زائد واحد بيصير ن زائد واحد زائد واحد بيصير ن زائد اتنين يعني هذا اذا بدك شياها بالشكل هذا بقوله summation من عند n equal zero to infinity لنقص اتنين على تلاتة واس ان زائد اتنين بهذا الشكل طيب امتاز", "tokens": [1863, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 1975, 2407, 1975, 2655, 1863, 30767, 16373, 3215, 36764, 24401, 16472, 30767, 16373, 3215, 36764, 24401, 4724, 1829, 9381, 13546, 8717, 30767, 16373, 3215, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 4724, 1829, 9381, 13546, 8717, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 37495, 22653, 23758, 1975, 15730, 47525, 4117, 13412, 25528, 11296, 20666, 8592, 28820, 23758, 4724, 39648, 3224, 28811, 9154, 43242, 297, 2681, 4018, 281, 13202, 5296, 1863, 4587, 9381, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 9307, 3660, 4032, 32277, 16472, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 39627, 15730, 25124, 28820, 23032, 1829, 3555, 1975, 2304, 2655, 31377], "avg_logprob": -0.29842343416299905, "compression_ratio": 2.0531914893617023, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2831.03, "end": 2831.43, "word": "ن", "probability": 0.259033203125}, {"start": 2831.43, "end": 2832.21, "word": " زائد", "probability": 0.6979166666666666}, {"start": 2832.21, "end": 2832.93, "word": " اتنين", "probability": 0.8377685546875}, {"start": 2832.93, "end": 2833.39, "word": " او", "probability": 0.54718017578125}, {"start": 2833.39, "end": 2833.67, "word": " اتن", "probability": 0.59423828125}, {"start": 2833.67, "end": 2833.85, "word": " زائد", "probability": 0.77197265625}, {"start": 2833.85, "end": 2834.37, "word": " واحد", "probability": 0.9755859375}, {"start": 2834.37, "end": 2835.03, "word": " ان", "probability": 0.32763671875}, {"start": 2835.03, "end": 2835.53, "word": " زائد", "probability": 0.84814453125}, {"start": 2835.53, "end": 2836.05, "word": " واحد", "probability": 0.987060546875}, {"start": 2836.05, "end": 2836.39, "word": " بيصير", "probability": 0.65289306640625}, {"start": 2836.39, "end": 2836.57, "word": " ن", "probability": 0.09552001953125}, {"start": 2836.57, "end": 2839.29, "word": " زائد", "probability": 0.7061360677083334}, {"start": 2839.29, "end": 2839.61, "word": " واحد", "probability": 0.8408203125}, {"start": 2839.61, "end": 2839.95, "word": " زائد", "probability": 0.769775390625}, {"start": 2839.95, "end": 2840.11, "word": " واحد", "probability": 0.968017578125}, {"start": 2840.11, "end": 2840.37, "word": " بيصير", "probability": 0.8988037109375}, {"start": 2840.37, "end": 2840.91, "word": " ن", "probability": 0.55712890625}, {"start": 2840.91, "end": 2842.03, "word": " زائد", "probability": 0.9596354166666666}, {"start": 2842.03, "end": 2842.63, "word": " اتنين", "probability": 0.9925537109375}, {"start": 2842.63, "end": 2844.23, "word": " يعني", "probability": 0.55419921875}, {"start": 2844.23, "end": 2844.61, "word": " هذا", "probability": 0.487060546875}, {"start": 2844.61, "end": 2844.83, "word": " اذا", "probability": 0.688720703125}, {"start": 2844.83, "end": 2845.27, "word": " بدك", "probability": 0.892333984375}, {"start": 2845.27, "end": 2845.75, "word": " شياها", "probability": 0.62158203125}, {"start": 2845.75, "end": 2846.33, "word": " بالشكل", "probability": 0.96240234375}, {"start": 2846.33, "end": 2846.81, "word": " هذا", "probability": 0.93408203125}, {"start": 2846.81, "end": 2847.77, "word": " بقوله", "probability": 0.7051188151041666}, {"start": 2847.77, "end": 2848.41, "word": " summation", "probability": 0.892578125}, {"start": 2848.41, "end": 2848.69, "word": " من", "probability": 0.79443359375}, {"start": 2848.69, "end": 2848.95, "word": " عند", "probability": 0.708984375}, {"start": 2848.95, "end": 2849.29, "word": " n", "probability": 0.53515625}, {"start": 2849.29, "end": 2849.71, "word": " equal", "probability": 0.42919921875}, {"start": 2849.71, "end": 2850.11, "word": " zero", "probability": 0.578125}, {"start": 2850.11, "end": 2850.35, "word": " to", "probability": 0.9599609375}, {"start": 2850.35, "end": 2851.01, "word": " infinity", "probability": 0.8564453125}, {"start": 2851.01, "end": 2852.15, "word": " لنقص", "probability": 0.9517822265625}, {"start": 2852.15, "end": 2852.59, "word": " اتنين", "probability": 0.9593505859375}, {"start": 2852.59, "end": 2852.93, "word": " على", "probability": 0.44580078125}, {"start": 2852.93, "end": 2853.45, "word": " تلاتة", "probability": 0.859619140625}, {"start": 2853.45, "end": 2853.75, "word": " واس", "probability": 0.41876220703125}, {"start": 2853.75, "end": 2854.03, "word": " ان", "probability": 0.5185546875}, {"start": 2854.03, "end": 2854.59, "word": " زائد", "probability": 0.9715169270833334}, {"start": 2854.59, "end": 2855.05, "word": " اتنين", "probability": 0.9940185546875}, {"start": 2855.05, "end": 2855.55, "word": " بهذا", "probability": 0.9521484375}, {"start": 2855.55, "end": 2856.13, "word": " الشكل", "probability": 0.989013671875}, {"start": 2856.13, "end": 2857.63, "word": " طيب", "probability": 0.9690755208333334}, {"start": 2857.63, "end": 2858.31, "word": " امتاز", "probability": 0.868896484375}], "temperature": 1.0}, {"id": 118, "seek": 286290, "start": 2859.52, "end": 2862.9, "text": "كداش الحد الأول في هذه السنة؟ واحد", "tokens": [4117, 3215, 33599, 21542, 3215, 16247, 12610, 8978, 29538, 21136, 1863, 3660, 22807, 36764, 24401], "avg_logprob": -0.4775390401482582, "compression_ratio": 0.9841269841269841, "no_speech_prob": 0.0, "words": [{"start": 2859.52, "end": 2860.0, "word": "كداش", "probability": 0.5146891276041666}, {"start": 2860.0, "end": 2860.5, "word": " الحد", "probability": 0.62261962890625}, {"start": 2860.5, "end": 2861.1, "word": " الأول", "probability": 0.7998046875}, {"start": 2861.1, "end": 2861.34, "word": " في", "probability": 0.93994140625}, {"start": 2861.34, "end": 2861.68, "word": " هذه", "probability": 0.80078125}, {"start": 2861.68, "end": 2862.62, "word": " السنة؟", "probability": 0.68804931640625}, {"start": 2862.62, "end": 2862.9, "word": " واحد", "probability": 0.922119140625}], "temperature": 1.0}, {"id": 119, "seek": 289248, "start": 2867.18, "end": 2892.48, "text": "تمام او كما قال سالب اتنين ع تلاتة لكل تربية حط ن ب zero بظل سالب اتنين ع تلاتة لكل تربية مش زي اللي جابله واحد وامشي و الله تمانية و الله خمسة زي ما قالت في بعض المسائل يبقى دير بالك بنجيب هذا السؤال في الخيارات المتعددة نعطيك geometric series ونقولك المجموع تبعها يساوي", "tokens": [2655, 15042, 2304, 1975, 2407, 9122, 15042, 50239, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 6225, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632, 11331, 9566, 8717, 4724, 4018, 4724, 19913, 1211, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 6225, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632, 37893, 30767, 1829, 13672, 1829, 10874, 16758, 43761, 36764, 24401, 4032, 10943, 8592, 1829, 4032, 21984, 46811, 7649, 10632, 4032, 21984, 16490, 2304, 3794, 3660, 30767, 1829, 19446, 50239, 2655, 8978, 45030, 11242, 9673, 3794, 16373, 1211, 7251, 3555, 4587, 7578, 11778, 13546, 20666, 4117, 44945, 7435, 1829, 3555, 23758, 21136, 33604, 6027, 8978, 33962, 1829, 9640, 9307, 9673, 2655, 22488, 41891, 8717, 3615, 9566, 1829, 4117, 33246, 2638, 4032, 1863, 39648, 4117, 9673, 7435, 2304, 45367, 6055, 3555, 3615, 11296, 7251, 3794, 995, 45865], "avg_logprob": -0.2057674592908691, "compression_ratio": 1.8911290322580645, "no_speech_prob": 0.0, "words": [{"start": 2867.18, "end": 2867.96, "word": "تمام", "probability": 0.4974772135416667}, {"start": 2867.96, "end": 2868.34, "word": " او", "probability": 0.79296875}, {"start": 2868.34, "end": 2868.66, "word": " كما", "probability": 0.925048828125}, {"start": 2868.66, "end": 2869.16, "word": " قال", "probability": 0.6396484375}, {"start": 2869.16, "end": 2869.72, "word": " سالب", "probability": 0.4728190104166667}, {"start": 2869.72, "end": 2870.18, "word": " اتنين", "probability": 0.79925537109375}, {"start": 2870.18, "end": 2870.3, "word": " ع", "probability": 0.62158203125}, {"start": 2870.3, "end": 2870.86, "word": " تلاتة", "probability": 0.9176025390625}, {"start": 2870.86, "end": 2871.42, "word": " لكل", "probability": 0.93212890625}, {"start": 2871.42, "end": 2872.16, "word": " تربية", "probability": 0.8277994791666666}, {"start": 2872.16, "end": 2873.18, "word": " حط", "probability": 0.55419921875}, {"start": 2873.18, "end": 2873.58, "word": " ن", "probability": 0.1903076171875}, {"start": 2873.58, "end": 2873.86, "word": " ب", "probability": 0.75439453125}, {"start": 2873.86, "end": 2874.4, "word": " zero", "probability": 0.5498046875}, {"start": 2874.4, "end": 2874.88, "word": " بظل", "probability": 0.605224609375}, {"start": 2874.88, "end": 2875.3, "word": " سالب", "probability": 0.9239908854166666}, {"start": 2875.3, "end": 2875.7, "word": " اتنين", "probability": 0.987060546875}, {"start": 2875.7, "end": 2875.88, "word": " ع", "probability": 0.94775390625}, {"start": 2875.88, "end": 2876.36, "word": " تلاتة", "probability": 0.982666015625}, {"start": 2876.36, "end": 2876.72, "word": " لكل", "probability": 0.9794921875}, {"start": 2876.72, "end": 2877.3, "word": " تربية", "probability": 0.9684244791666666}, {"start": 2877.3, "end": 2877.94, "word": " مش", "probability": 0.828125}, {"start": 2877.94, "end": 2878.24, "word": " زي", "probability": 0.95849609375}, {"start": 2878.24, "end": 2878.44, "word": " اللي", "probability": 0.906005859375}, {"start": 2878.44, "end": 2878.9, "word": " جابله", "probability": 0.764404296875}, {"start": 2878.9, "end": 2879.26, "word": " واحد", "probability": 0.9853515625}, {"start": 2879.26, "end": 2879.84, "word": " وامشي", "probability": 0.875244140625}, {"start": 2879.84, "end": 2879.94, "word": " و", "probability": 0.442138671875}, {"start": 2879.94, "end": 2880.08, "word": " الله", "probability": 0.8447265625}, {"start": 2880.08, "end": 2880.6, "word": " تمانية", "probability": 0.9456380208333334}, {"start": 2880.6, "end": 2880.72, "word": " و", "probability": 0.94287109375}, {"start": 2880.72, "end": 2880.9, "word": " الله", "probability": 0.96044921875}, {"start": 2880.9, "end": 2881.58, "word": " خمسة", "probability": 0.9852294921875}, {"start": 2881.58, "end": 2881.98, "word": " زي", "probability": 0.822509765625}, {"start": 2881.98, "end": 2882.06, "word": " ما", "probability": 0.9853515625}, {"start": 2882.06, "end": 2882.28, "word": " قالت", "probability": 0.745361328125}, {"start": 2882.28, "end": 2882.36, "word": " في", "probability": 0.916015625}, {"start": 2882.36, "end": 2882.64, "word": " بعض", "probability": 0.9853515625}, {"start": 2882.64, "end": 2883.46, "word": " المسائل", "probability": 0.8958740234375}, {"start": 2883.46, "end": 2884.16, "word": " يبقى", "probability": 0.9248046875}, {"start": 2884.16, "end": 2884.32, "word": " دير", "probability": 0.648681640625}, {"start": 2884.32, "end": 2884.7, "word": " بالك", "probability": 0.6737060546875}, {"start": 2884.7, "end": 2885.3, "word": " بنجيب", "probability": 0.8482666015625}, {"start": 2885.3, "end": 2885.6, "word": " هذا", "probability": 0.83154296875}, {"start": 2885.6, "end": 2886.12, "word": " السؤال", "probability": 0.9939778645833334}, {"start": 2886.12, "end": 2886.3, "word": " في", "probability": 0.8583984375}, {"start": 2886.3, "end": 2887.02, "word": " الخيارات", "probability": 0.987548828125}, {"start": 2887.02, "end": 2888.0, "word": " المتعددة", "probability": 0.9940185546875}, {"start": 2888.0, "end": 2889.08, "word": " نعطيك", "probability": 0.876171875}, {"start": 2889.08, "end": 2889.8, "word": " geometric", "probability": 0.472900390625}, {"start": 2889.8, "end": 2890.26, "word": " series", "probability": 0.7314453125}, {"start": 2890.26, "end": 2890.82, "word": " ونقولك", "probability": 0.788818359375}, {"start": 2890.82, "end": 2891.42, "word": " المجموع", "probability": 0.958740234375}, {"start": 2891.42, "end": 2891.9, "word": " تبعها", "probability": 0.9512939453125}, {"start": 2891.9, "end": 2892.48, "word": " يساوي", "probability": 0.923828125}], "temperature": 1.0}, {"id": 120, "seek": 292102, "start": 2892.66, "end": 2921.02, "text": "و نحط لك عدة خيارات يبقى إذا غلطت في الحد الأول ضيعت الخيار تبعك تمام؟ يبقى ضروري تدققلي على شكل الحد الأول يبقى هذا ال first term هو عبارة عن سالبين ع تلاتة لكل تربية هاي مظبوط؟ شكل الحد الأول؟ يبقى له أربعة أتساع يبقى باجي بقوله هذه conversion لضعيفين", "tokens": [2407, 8717, 5016, 9566, 5296, 4117, 6225, 41891, 16490, 1829, 9640, 9307, 7251, 3555, 4587, 7578, 11933, 15730, 32771, 1211, 9566, 2655, 8978, 21542, 3215, 16247, 12610, 48812, 1829, 34268, 33962, 1829, 9640, 6055, 3555, 3615, 4117, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 48812, 2288, 13063, 1829, 6055, 3215, 4587, 4587, 20292, 15844, 13412, 28820, 21542, 3215, 16247, 12610, 7251, 3555, 4587, 7578, 23758, 2423, 700, 1433, 31439, 6225, 3555, 9640, 3660, 18871, 8608, 6027, 3555, 9957, 6225, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632, 8032, 47302, 3714, 19913, 3555, 2407, 9566, 22807, 13412, 28820, 21542, 3215, 16247, 12610, 22807, 7251, 3555, 4587, 7578, 46740, 5551, 25513, 27884, 5551, 2655, 3794, 45761, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 29538, 14298, 5296, 11242, 3615, 33911, 9957], "avg_logprob": -0.21275845909477176, "compression_ratio": 1.8099173553719008, "no_speech_prob": 0.0, "words": [{"start": 2892.66, "end": 2892.88, "word": "و", "probability": 0.1988525390625}, {"start": 2892.88, "end": 2893.22, "word": " نحط", "probability": 0.46881103515625}, {"start": 2893.22, "end": 2893.4, "word": " لك", "probability": 0.7225341796875}, {"start": 2893.4, "end": 2893.72, "word": " عدة", "probability": 0.94970703125}, {"start": 2893.72, "end": 2894.5, "word": " خيارات", "probability": 0.994384765625}, {"start": 2894.5, "end": 2895.0, "word": " يبقى", "probability": 0.8560791015625}, {"start": 2895.0, "end": 2895.24, "word": " إذا", "probability": 0.76611328125}, {"start": 2895.24, "end": 2895.8, "word": " غلطت", "probability": 0.9569091796875}, {"start": 2895.8, "end": 2895.9, "word": " في", "probability": 0.9267578125}, {"start": 2895.9, "end": 2896.28, "word": " الحد", "probability": 0.983642578125}, {"start": 2896.28, "end": 2896.8, "word": " الأول", "probability": 0.969482421875}, {"start": 2896.8, "end": 2897.34, "word": " ضيعت", "probability": 0.8056640625}, {"start": 2897.34, "end": 2897.78, "word": " الخيار", "probability": 0.9772135416666666}, {"start": 2897.78, "end": 2898.7, "word": " تبعك", "probability": 0.880615234375}, {"start": 2898.7, "end": 2899.66, "word": " تمام؟", "probability": 0.7203776041666666}, {"start": 2899.66, "end": 2900.0, "word": " يبقى", "probability": 0.9832763671875}, {"start": 2900.0, "end": 2900.46, "word": " ضروري", "probability": 0.914794921875}, {"start": 2900.46, "end": 2901.12, "word": " تدققلي", "probability": 0.8107421875}, {"start": 2901.12, "end": 2901.34, "word": " على", "probability": 0.8173828125}, {"start": 2901.34, "end": 2901.82, "word": " شكل", "probability": 0.94921875}, {"start": 2901.82, "end": 2902.36, "word": " الحد", "probability": 0.992431640625}, {"start": 2902.36, "end": 2902.94, "word": " الأول", "probability": 0.978515625}, {"start": 2902.94, "end": 2903.9, "word": " يبقى", "probability": 0.981201171875}, {"start": 2903.9, "end": 2904.28, "word": " هذا", "probability": 0.9072265625}, {"start": 2904.28, "end": 2904.58, "word": " ال", "probability": 0.96337890625}, {"start": 2904.58, "end": 2905.12, "word": " first", "probability": 0.8134765625}, {"start": 2905.12, "end": 2905.84, "word": " term", "probability": 0.95556640625}, {"start": 2905.84, "end": 2906.34, "word": " هو", "probability": 0.9580078125}, {"start": 2906.34, "end": 2906.98, "word": " عبارة", "probability": 0.9910888671875}, {"start": 2906.98, "end": 2907.26, "word": " عن", "probability": 0.9912109375}, {"start": 2907.26, "end": 2908.1, "word": " سالبين", "probability": 0.6844482421875}, {"start": 2908.1, "end": 2908.34, "word": " ع", "probability": 0.54541015625}, {"start": 2908.34, "end": 2909.14, "word": " تلاتة", "probability": 0.9212646484375}, {"start": 2909.14, "end": 2909.52, "word": " لكل", "probability": 0.954833984375}, {"start": 2909.52, "end": 2910.02, "word": " تربية", "probability": 0.8346354166666666}, {"start": 2910.02, "end": 2910.46, "word": " هاي", "probability": 0.547607421875}, {"start": 2910.46, "end": 2913.14, "word": " مظبوط؟", "probability": 0.7903645833333334}, {"start": 2913.14, "end": 2913.36, "word": " شكل", "probability": 0.35906982421875}, {"start": 2913.36, "end": 2913.68, "word": " الحد", "probability": 0.87890625}, {"start": 2913.68, "end": 2914.56, "word": " الأول؟", "probability": 0.8678385416666666}, {"start": 2914.56, "end": 2915.18, "word": " يبقى", "probability": 0.9913330078125}, {"start": 2915.18, "end": 2915.56, "word": " له", "probability": 0.85791015625}, {"start": 2915.56, "end": 2916.42, "word": " أربعة", "probability": 0.8561197916666666}, {"start": 2916.42, "end": 2917.38, "word": " أتساع", "probability": 0.8067626953125}, {"start": 2917.38, "end": 2918.26, "word": " يبقى", "probability": 0.9888916015625}, {"start": 2918.26, "end": 2918.7, "word": " باجي", "probability": 0.7958984375}, {"start": 2918.7, "end": 2919.14, "word": " بقوله", "probability": 0.75634765625}, {"start": 2919.14, "end": 2919.38, "word": " هذه", "probability": 0.438720703125}, {"start": 2919.38, "end": 2920.1, "word": " conversion", "probability": 0.64453125}, {"start": 2920.1, "end": 2921.02, "word": " لضعيفين", "probability": 0.752734375}], "temperature": 1.0}, {"id": 121, "seek": 294338, "start": 2921.28, "end": 2943.38, "text": "يبقى convert geometric series because absolute value للارض absolute value لسالي طولتين يعني طولتين أقل من الواحد الصحيح مدام أقل من الواحد الصحيح أختمنا عليها بإنها convert", "tokens": [1829, 3555, 4587, 7578, 7620, 33246, 2638, 570, 8236, 2158, 24976, 9640, 11242, 8236, 2158, 5296, 3794, 6027, 1829, 23032, 12610, 2655, 9957, 37495, 22653, 23032, 12610, 2655, 9957, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 3714, 3215, 10943, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 5551, 9778, 39237, 8315, 25894, 11296, 4724, 28814, 1863, 11296, 7620], "avg_logprob": -0.2791193263097243, "compression_ratio": 1.6305732484076434, "no_speech_prob": 0.0, "words": [{"start": 2921.28, "end": 2921.98, "word": "يبقى", "probability": 0.725860595703125}, {"start": 2921.98, "end": 2922.74, "word": " convert", "probability": 0.38623046875}, {"start": 2922.74, "end": 2924.64, "word": " geometric", "probability": 0.294921875}, {"start": 2924.64, "end": 2926.4, "word": " series", "probability": 0.88134765625}, {"start": 2926.4, "end": 2927.46, "word": " because", "probability": 0.81591796875}, {"start": 2927.46, "end": 2929.54, "word": " absolute", "probability": 0.8935546875}, {"start": 2929.54, "end": 2930.3, "word": " value", "probability": 0.97802734375}, {"start": 2930.3, "end": 2931.34, "word": " للارض", "probability": 0.70751953125}, {"start": 2931.34, "end": 2932.0, "word": " absolute", "probability": 0.4130859375}, {"start": 2932.0, "end": 2932.6, "word": " value", "probability": 0.9833984375}, {"start": 2932.6, "end": 2933.36, "word": " لسالي", "probability": 0.759521484375}, {"start": 2933.36, "end": 2934.24, "word": " طولتين", "probability": 0.771759033203125}, {"start": 2934.24, "end": 2935.06, "word": " يعني", "probability": 0.89453125}, {"start": 2935.06, "end": 2936.06, "word": " طولتين", "probability": 0.9400634765625}, {"start": 2936.06, "end": 2936.9, "word": " أقل", "probability": 0.8688151041666666}, {"start": 2936.9, "end": 2937.1, "word": " من", "probability": 0.9931640625}, {"start": 2937.1, "end": 2937.6, "word": " الواحد", "probability": 0.9677734375}, {"start": 2937.6, "end": 2938.32, "word": " الصحيح", "probability": 0.9853515625}, {"start": 2938.32, "end": 2939.02, "word": " مدام", "probability": 0.69384765625}, {"start": 2939.02, "end": 2939.6, "word": " أقل", "probability": 0.9705403645833334}, {"start": 2939.6, "end": 2939.78, "word": " من", "probability": 0.99267578125}, {"start": 2939.78, "end": 2940.24, "word": " الواحد", "probability": 0.9915364583333334}, {"start": 2940.24, "end": 2940.94, "word": " الصحيح", "probability": 0.9932861328125}, {"start": 2940.94, "end": 2941.74, "word": " أختمنا", "probability": 0.46356201171875}, {"start": 2941.74, "end": 2942.04, "word": " عليها", "probability": 0.9814453125}, {"start": 2942.04, "end": 2942.5, "word": " بإنها", "probability": 0.66082763671875}, {"start": 2942.5, "end": 2943.38, "word": " convert", "probability": 0.60498046875}], "temperature": 1.0}, {"id": 122, "seek": 297327, "start": 2943.99, "end": 2973.27, "text": "بدا نوجد المجموعة تبعها يبقى its sum المجموعة تبعها its يساوى الحد الأول بيدا كسبوه لك زي ما هو مشان ماتغلطش هسالب اتنين على تلاتة لكل تربية على واحد ناقص الأساس اللي هو ناقص تلتين فبنقول هذا كويس هذا بيصير أربع على تسعة", "tokens": [3555, 28259, 8717, 29245, 3215, 9673, 7435, 2304, 2407, 27884, 6055, 3555, 3615, 11296, 7251, 3555, 4587, 7578, 1080, 2408, 9673, 7435, 2304, 2407, 27884, 6055, 3555, 3615, 11296, 1080, 7251, 3794, 995, 2407, 7578, 21542, 3215, 16247, 12610, 4724, 25708, 995, 9122, 35457, 2407, 3224, 5296, 4117, 30767, 1829, 19446, 31439, 37893, 7649, 3714, 9307, 17082, 1211, 9566, 8592, 8032, 3794, 6027, 3555, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632, 15844, 36764, 24401, 8717, 995, 4587, 9381, 16247, 3794, 32277, 13672, 1829, 31439, 8717, 995, 4587, 9381, 6055, 1211, 2655, 9957, 6156, 3555, 1863, 39648, 23758, 9122, 45865, 3794, 23758, 4724, 1829, 9381, 13546, 5551, 25513, 3615, 15844, 6055, 3794, 27884], "avg_logprob": -0.2136718761175871, "compression_ratio": 1.8436018957345972, "no_speech_prob": 0.0, "words": [{"start": 2943.99, "end": 2944.41, "word": "بدا", "probability": 0.319915771484375}, {"start": 2944.41, "end": 2944.83, "word": " نوجد", "probability": 0.760986328125}, {"start": 2944.83, "end": 2945.71, "word": " المجموعة", "probability": 0.87880859375}, {"start": 2945.71, "end": 2946.39, "word": " تبعها", "probability": 0.9010009765625}, {"start": 2946.39, "end": 2947.79, "word": " يبقى", "probability": 0.962158203125}, {"start": 2947.79, "end": 2948.31, "word": " its", "probability": 0.50830078125}, {"start": 2948.31, "end": 2949.49, "word": " sum", "probability": 0.88427734375}, {"start": 2949.49, "end": 2950.91, "word": " المجموعة", "probability": 0.92109375}, {"start": 2950.91, "end": 2951.57, "word": " تبعها", "probability": 0.955322265625}, {"start": 2951.57, "end": 2951.93, "word": " its", "probability": 0.40185546875}, {"start": 2951.93, "end": 2953.15, "word": " يساوى", "probability": 0.8341796875}, {"start": 2953.15, "end": 2953.83, "word": " الحد", "probability": 0.97607421875}, {"start": 2953.83, "end": 2954.33, "word": " الأول", "probability": 0.95458984375}, {"start": 2954.33, "end": 2954.63, "word": " بيدا", "probability": 0.67041015625}, {"start": 2954.63, "end": 2955.03, "word": " كسبوه", "probability": 0.69842529296875}, {"start": 2955.03, "end": 2955.31, "word": " لك", "probability": 0.854248046875}, {"start": 2955.31, "end": 2955.85, "word": " زي", "probability": 0.964599609375}, {"start": 2955.85, "end": 2956.05, "word": " ما", "probability": 0.85400390625}, {"start": 2956.05, "end": 2956.25, "word": " هو", "probability": 0.91748046875}, {"start": 2956.25, "end": 2956.59, "word": " مشان", "probability": 0.3699951171875}, {"start": 2956.59, "end": 2957.39, "word": " ماتغلطش", "probability": 0.8151448567708334}, {"start": 2957.39, "end": 2958.45, "word": " هسالب", "probability": 0.6036376953125}, {"start": 2958.45, "end": 2959.03, "word": " اتنين", "probability": 0.9395751953125}, {"start": 2959.03, "end": 2959.79, "word": " على", "probability": 0.87255859375}, {"start": 2959.79, "end": 2960.55, "word": " تلاتة", "probability": 0.953857421875}, {"start": 2960.55, "end": 2960.95, "word": " لكل", "probability": 0.892333984375}, {"start": 2960.95, "end": 2961.57, "word": " تربية", "probability": 0.8719075520833334}, {"start": 2961.57, "end": 2962.31, "word": " على", "probability": 0.91845703125}, {"start": 2962.31, "end": 2963.01, "word": " واحد", "probability": 0.99267578125}, {"start": 2963.01, "end": 2964.05, "word": " ناقص", "probability": 0.9599609375}, {"start": 2964.05, "end": 2965.07, "word": " الأساس", "probability": 0.9187825520833334}, {"start": 2965.07, "end": 2965.55, "word": " اللي", "probability": 0.83056640625}, {"start": 2965.55, "end": 2965.67, "word": " هو", "probability": 0.982421875}, {"start": 2965.67, "end": 2966.41, "word": " ناقص", "probability": 0.989013671875}, {"start": 2966.41, "end": 2967.45, "word": " تلتين", "probability": 0.8892822265625}, {"start": 2967.45, "end": 2968.81, "word": " فبنقول", "probability": 0.80487060546875}, {"start": 2968.81, "end": 2969.13, "word": " هذا", "probability": 0.9423828125}, {"start": 2969.13, "end": 2969.83, "word": " كويس", "probability": 0.9832356770833334}, {"start": 2969.83, "end": 2970.41, "word": " هذا", "probability": 0.818359375}, {"start": 2970.41, "end": 2971.35, "word": " بيصير", "probability": 0.864990234375}, {"start": 2971.35, "end": 2972.33, "word": " أربع", "probability": 0.6808268229166666}, {"start": 2972.33, "end": 2972.75, "word": " على", "probability": 0.80126953125}, {"start": 2972.75, "end": 2973.27, "word": " تسعة", "probability": 0.9803059895833334}], "temperature": 1.0}, {"id": 123, "seek": 300040, "start": 2973.88, "end": 3000.4, "text": "هذا واحد زائد تلتين يعني خمسة على تلاتة يبقى هذا خمسة على تلاتة يعني أربعة تسعة مضروبة في تلتة خمسة على التلاتة فيها الواحد على التلاتة فيها التلاتة يبقى بصير عندك أربعة على تلاتة في خمسة بخمستاشر مجموع ال series", "tokens": [3224, 15730, 36764, 24401, 30767, 16373, 3215, 6055, 1211, 2655, 9957, 37495, 22653, 16490, 2304, 3794, 3660, 15844, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 23758, 16490, 2304, 3794, 3660, 15844, 6055, 1211, 9307, 3660, 37495, 22653, 5551, 25513, 27884, 6055, 3794, 27884, 3714, 11242, 32887, 49401, 8978, 6055, 1211, 2655, 3660, 16490, 2304, 3794, 3660, 15844, 16712, 1211, 9307, 3660, 8978, 11296, 2423, 14407, 24401, 15844, 16712, 1211, 9307, 3660, 8978, 11296, 16712, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 43242, 4117, 5551, 25513, 27884, 15844, 6055, 1211, 9307, 3660, 8978, 16490, 2304, 3794, 3660, 4724, 9778, 2304, 14851, 33599, 2288, 3714, 7435, 2304, 45367, 2423, 2638], "avg_logprob": -0.12617533607820494, "compression_ratio": 2.2294117647058824, "no_speech_prob": 0.0, "words": [{"start": 2973.88, "end": 2974.42, "word": "هذا", "probability": 0.6680908203125}, {"start": 2974.42, "end": 2975.6, "word": " واحد", "probability": 0.66455078125}, {"start": 2975.6, "end": 2976.28, "word": " زائد", "probability": 0.8741861979166666}, {"start": 2976.28, "end": 2977.14, "word": " تلتين", "probability": 0.840576171875}, {"start": 2977.14, "end": 2977.96, "word": " يعني", "probability": 0.808349609375}, {"start": 2977.96, "end": 2978.7, "word": " خمسة", "probability": 0.966796875}, {"start": 2978.7, "end": 2978.9, "word": " على", "probability": 0.91357421875}, {"start": 2978.9, "end": 2979.64, "word": " تلاتة", "probability": 0.92626953125}, {"start": 2979.64, "end": 2980.5, "word": " يبقى", "probability": 0.9332275390625}, {"start": 2980.5, "end": 2980.98, "word": " هذا", "probability": 0.92041015625}, {"start": 2980.98, "end": 2982.02, "word": " خمسة", "probability": 0.971923828125}, {"start": 2982.02, "end": 2982.7, "word": " على", "probability": 0.95166015625}, {"start": 2982.7, "end": 2983.36, "word": " تلاتة", "probability": 0.950927734375}, {"start": 2983.36, "end": 2983.74, "word": " يعني", "probability": 0.933349609375}, {"start": 2983.74, "end": 2984.66, "word": " أربعة", "probability": 0.81884765625}, {"start": 2984.66, "end": 2985.44, "word": " تسعة", "probability": 0.659912109375}, {"start": 2985.44, "end": 2986.54, "word": " مضروبة", "probability": 0.9835205078125}, {"start": 2986.54, "end": 2986.88, "word": " في", "probability": 0.97314453125}, {"start": 2986.88, "end": 2987.88, "word": " تلتة", "probability": 0.84814453125}, {"start": 2987.88, "end": 2988.92, "word": " خمسة", "probability": 0.828369140625}, {"start": 2988.92, "end": 2989.18, "word": " على", "probability": 0.65283203125}, {"start": 2989.18, "end": 2989.88, "word": " التلاتة", "probability": 0.9620361328125}, {"start": 2989.88, "end": 2990.18, "word": " فيها", "probability": 0.8115234375}, {"start": 2990.18, "end": 2990.7, "word": " الواحد", "probability": 0.98388671875}, {"start": 2990.7, "end": 2990.92, "word": " على", "probability": 0.41357421875}, {"start": 2990.92, "end": 2991.56, "word": " التلاتة", "probability": 0.9864501953125}, {"start": 2991.56, "end": 2991.94, "word": " فيها", "probability": 0.99365234375}, {"start": 2991.94, "end": 2993.24, "word": " التلاتة", "probability": 0.99365234375}, {"start": 2993.24, "end": 2993.86, "word": " يبقى", "probability": 0.984375}, {"start": 2993.86, "end": 2994.3, "word": " بصير", "probability": 0.9306640625}, {"start": 2994.3, "end": 2994.9, "word": " عندك", "probability": 0.994384765625}, {"start": 2994.9, "end": 2995.5, "word": " أربعة", "probability": 0.8455403645833334}, {"start": 2995.5, "end": 2995.72, "word": " على", "probability": 0.84619140625}, {"start": 2995.72, "end": 2996.28, "word": " تلاتة", "probability": 0.9652099609375}, {"start": 2996.28, "end": 2996.46, "word": " في", "probability": 0.9208984375}, {"start": 2996.46, "end": 2997.28, "word": " خمسة", "probability": 0.99609375}, {"start": 2997.28, "end": 2998.66, "word": " بخمستاشر", "probability": 0.8341471354166666}, {"start": 2998.66, "end": 2999.5, "word": " مجموع", "probability": 0.9290771484375}, {"start": 2999.5, "end": 2999.8, "word": " ال", "probability": 0.8037109375}, {"start": 2999.8, "end": 3000.4, "word": " series", "probability": 0.8740234375}], "temperature": 1.0}, {"id": 124, "seek": 301612, "start": 3002.38, "end": 3016.12, "text": "تمام؟ لازمنا في هذا ال section و لما ننتهي بعد و ان شاء الله المرة الجاية بنكمل هذا ال section و بنعطيك ال exercises ان شاء الله تعالى", "tokens": [39237, 10943, 22807, 5296, 31377, 2304, 8315, 8978, 23758, 2423, 3541, 4032, 5296, 15042, 8717, 29399, 3224, 1829, 39182, 4032, 16472, 13412, 16606, 21984, 9673, 25720, 25724, 995, 10632, 44945, 24793, 1211, 23758, 2423, 3541, 4032, 44945, 3615, 9566, 1829, 4117, 2423, 11900, 16472, 13412, 16606, 21984, 37279, 6027, 7578], "avg_logprob": -0.18688725198016448, "compression_ratio": 1.5912408759124088, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3002.3800000000006, "end": 3003.0800000000004, "word": "تمام؟", "probability": 0.7058919270833334}, {"start": 3003.0800000000004, "end": 3003.78, "word": " لازمنا", "probability": 0.9549560546875}, {"start": 3003.78, "end": 3003.96, "word": " في", "probability": 0.9462890625}, {"start": 3003.96, "end": 3004.28, "word": " هذا", "probability": 0.9072265625}, {"start": 3004.28, "end": 3004.44, "word": " ال", "probability": 0.4765625}, {"start": 3004.44, "end": 3004.8, "word": " section", "probability": 0.85791015625}, {"start": 3004.8, "end": 3005.14, "word": " و", "probability": 0.80908203125}, {"start": 3005.14, "end": 3005.46, "word": " لما", "probability": 0.76513671875}, {"start": 3005.46, "end": 3006.22, "word": " ننتهي", "probability": 0.96826171875}, {"start": 3006.22, "end": 3006.64, "word": " بعد", "probability": 0.951171875}, {"start": 3006.64, "end": 3007.76, "word": " و", "probability": 0.712890625}, {"start": 3007.76, "end": 3008.06, "word": " ان", "probability": 0.70556640625}, {"start": 3008.06, "end": 3008.36, "word": " شاء", "probability": 0.969970703125}, {"start": 3008.36, "end": 3008.44, "word": " الله", "probability": 0.9482421875}, {"start": 3008.44, "end": 3009.18, "word": " المرة", "probability": 0.915283203125}, {"start": 3009.18, "end": 3009.58, "word": " الجاية", "probability": 0.7552083333333334}, {"start": 3009.58, "end": 3010.14, "word": " بنكمل", "probability": 0.8868815104166666}, {"start": 3010.14, "end": 3010.38, "word": " هذا", "probability": 0.91748046875}, {"start": 3010.38, "end": 3010.48, "word": " ال", "probability": 0.95751953125}, {"start": 3010.48, "end": 3010.82, "word": " section", "probability": 0.8505859375}, {"start": 3010.82, "end": 3010.98, "word": " و", "probability": 0.841796875}, {"start": 3010.98, "end": 3011.76, "word": " بنعطيك", "probability": 0.9095703125}, {"start": 3011.76, "end": 3012.7, "word": " ال", "probability": 0.5556640625}, {"start": 3012.7, "end": 3014.06, "word": " exercises", "probability": 0.91015625}, {"start": 3014.06, "end": 3015.02, "word": " ان", "probability": 0.51513671875}, {"start": 3015.02, "end": 3015.36, "word": " شاء", "probability": 0.96923828125}, {"start": 3015.36, "end": 3015.58, "word": " الله", "probability": 0.9521484375}, {"start": 3015.58, "end": 3016.12, "word": " تعالى", "probability": 0.8902994791666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3016.481, "duration_after_vad": 2863.3722187499825}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/yc5RE5HwE40_raw.srt b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/yc5RE5HwE40_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..138bb69dde16cf7187ce40057d95e99bfe2d51ee
--- /dev/null
+++ b/PL9fwy3NUQKwasVXkhUjp6LPUI_sOpX-0N/yc5RE5HwE40_raw.srt
@@ -0,0 +1,1872 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,190 --> 00:00:14,890
+بسم الله الرحمن الرحيم نكمل ما ابتدأنا به في المرة
+
+3
+00:00:14,890 --> 00:00:19,670
+الماضية وهي سيكشن عشرة واحد infinite sequences
+
+4
+00:00:19,670 --> 00:00:24,610
+طبعا أخدنا غالب ال sections وبقيت نقطتان صغيرتان
+
+5
+00:00:24,610 --> 00:00:29,230
+النقطة الأولى the sequence a in is called
+
+6
+00:00:29,230 --> 00:00:30,190
+monotonic
+
+7
+00:00:34,330 --> 00:00:40,830
+بالطبع نرجع إلى ما سبق دراسته بالنسبة للفункشنز
+
+8
+00:00:40,830 --> 00:00:45,310
+نذكر في كالكولاس ايه؟ خدنا الـ monotonic function
+
+9
+00:00:49,190 --> 00:00:53,870
+إذا كانت increasing أو decreasing، لكن الأثنين مع
+
+10
+00:00:53,870 --> 00:00:58,370
+بعض، لأ ليست monotonic وهذا ما درسناه في calculus
+
+11
+00:00:58,370 --> 00:01:03,650
+A اللي هانيجي لل series نفس، ال sequences نفس
+
+12
+00:01:03,650 --> 00:01:08,250
+المفهوم ال sequence بقول عنها monotonic إن كانت
+
+13
+00:01:08,250 --> 00:01:13,790
+increasing على طولأو decreasing على طول واحدة منهم
+
+14
+00:01:13,790 --> 00:01:18,510
+مش الاتنين فمثلا لو جاتي قولت ال sequence ثلاثة
+
+15
+00:01:18,510 --> 00:01:22,730
+على ان زاد واحد بدي ابحث هل هي monotonic والله
+
+16
+00:01:22,730 --> 00:01:27,190
+ماهياش monotonic اذا بدي اشوف هل هي increasing
+
+17
+00:01:27,190 --> 00:01:31,950
+والله decreasing يبقى ال sequence هذه بقدر اقول
+
+18
+00:01:31,950 --> 00:01:40,120
+عليها is decreasing decreasing ليش؟ becauseتعالى
+
+19
+00:01:40,120 --> 00:01:45,100
+شوف الحد النونى الحد النونى اللى هو تلاتة على N
+
+20
+00:01:45,100 --> 00:01:51,980
+زائد واحد خد للحد النونى زائد واحد الحد اللى يليه
+
+21
+00:01:51,980 --> 00:01:59,200
+يبقى هو تلاتة على N زائد واحد زائد واحد يبقى تلاتة
+
+22
+00:01:59,200 --> 00:02:04,860
+على N زائد اتنين من اللى اكبر ال term الاول ولا ال
+
+23
+00:02:04,860 --> 00:02:11,080
+term التانىالأول أكبر لأن مقامه أقل كل ما يصغر
+
+24
+00:02:11,080 --> 00:02:16,700
+المقام بزيد الكثير يبقى الحد الأول هذا اللي هو An
+
+25
+00:02:16,700 --> 00:02:22,960
+أكبر من الحد التاني اللي هو An زائد واحدما دام هيك
+
+26
+00:02:22,960 --> 00:02:29,260
+يبقى ال series هادي تنازلية على تسعودية تنازلية
+
+27
+00:02:29,260 --> 00:02:34,380
+يعني decreasing تناقصية يبقى هادي decreasing
+
+28
+00:02:34,380 --> 00:02:40,560
+because الحد النوني دائما و أفدا أكبر من من الحد
+
+29
+00:02:40,560 --> 00:02:47,300
+النوني زائد واحدلكل إن اللي أكبر من أو تسوى من
+
+30
+00:02:47,300 --> 00:02:50,680
+واحد لإنه قولنا ال sequence بتبدأ من عند الواحد
+
+31
+00:02:50,680 --> 00:02:55,120
+اتنين تلاتة إلى آخرين تمام؟ يبقى هذه ال sequence
+
+32
+00:02:55,120 --> 00:03:02,140
+بناء عليه is monotonic يبقى هنا الساعة ال sequence
+
+33
+00:03:02,140 --> 00:03:09,840
+اللي هي من؟ اللي هي تلاتة على إن plus one is
+
+34
+00:03:09,840 --> 00:03:12,660
+monotonic
+
+35
+00:03:18,570 --> 00:03:23,970
+طيب نجرح اللقطة الأخيرة من هذا ال section وهي
+
+36
+00:03:23,970 --> 00:03:29,610
+نظرية، theorem النص
+
+37
+00:03:29,610 --> 00:03:42,850
+بيقول مات if a sequence a, m is both bounded
+
+38
+00:03:49,210 --> 00:03:57,970
+مو نوتونيك ومو
+
+39
+00:03:57,970 --> 00:04:02,670
+نوتونيك ثم
+
+40
+00:04:02,670 --> 00:04:06,890
+ثم
+
+41
+00:04:06,890 --> 00:04:13,490
+الترتيب يتحرك تحرك
+
+42
+00:04:13,490 --> 00:04:14,410
+كل ترتيب
+
+43
+00:04:19,130 --> 00:04:25,350
+محظو المظهر السابق ماكنتش هيك كان بيشترق شرطين انه
+
+44
+00:04:25,350 --> 00:04:31,230
+تبقى ال sequence non decreasing يعني increasing او
+
+45
+00:04:31,230 --> 00:04:36,270
+constant sequence و bounded from above إذا تحقق
+
+46
+00:04:36,270 --> 00:04:40,790
+هذان الشرطان يبقى بقول ان ال sequence convergent
+
+47
+00:04:40,790 --> 00:04:45,670
+مااشترتش لقلي increasing ولا لقلي bounded فقط
+
+48
+00:04:45,930 --> 00:04:50,510
+وكونوا bounded يعني bounded from above and bounded
+
+49
+00:04:50,510 --> 00:04:56,190
+from below من الناحيتين بقول bounded وبسكت طبعا
+
+50
+00:04:56,190 --> 00:05:01,470
+طيب إذا ال sequence هذه كانت bounded وفي نفس الوقت
+
+51
+00:05:01,470 --> 00:05:06,330
+كانت monotonic يعني إما increasing أو decreasing
+
+52
+00:05:06,330 --> 00:05:10,650
+يبقى في هذه الحالة تكون ال sequence معاها convert
+
+53
+00:05:10,650 --> 00:05:13,350
+نعطي مثال على ذلك example
+
+54
+00:05:18,180 --> 00:05:28,560
+لو أخدنا الـ sequence مثلا 1 على N² 1 على N تربية
+
+55
+00:05:28,560 --> 00:05:32,780
+بالشكل اللي عندنا هذا اللي هو main اللي هي عبارة
+
+56
+00:05:32,780 --> 00:05:42,920
+عن 1 و 4 و 9 1 على 16 و إلى ما شاء الله 1 على N
+
+57
+00:05:42,920 --> 00:05:49,100
+تربية زائد إلى ما شاء اللهطبعا يبقى بداني أشوف هل
+
+58
+00:05:49,100 --> 00:05:55,280
+ال sequence هذي convert ولا diver نشوف هل الشرقين
+
+59
+00:05:55,280 --> 00:05:59,720
+هذه المتحققات ولا لا؟ boundary يبقى بدني أشوف هل
+
+60
+00:05:59,720 --> 00:06:02,880
+boundary from above و boundary from below ولا لا؟
+
+61
+00:06:03,170 --> 00:06:10,230
+لكن الحد الأول واحد، وبعدها تبدأ تنزل أقل منه، أقل
+
+62
+00:06:10,230 --> 00:06:14,070
+منه، أقل منه، في الآخر ستصل إلى أين؟ إلى الـ Zero.
+
+63
+00:06:14,430 --> 00:06:19,090
+إذن هذه الـ Boundary from above by one و from
+
+64
+00:06:19,090 --> 00:06:23,350
+below by zero. يبقى اللي above كان في بداية ال
+
+65
+00:06:23,350 --> 00:06:27,130
+sequence و اللي below كان في نهاية ال sequence.
+
+66
+00:06:27,510 --> 00:06:33,710
+يبقى باجي بقوله thisسيق .. this sequence is
+
+67
+00:06:33,710 --> 00:06:52,610
+bounded from above by one and below and
+
+68
+00:06:52,610 --> 00:06:58,980
+below by zeroيبقى بناء عليه ال sequence هذه بتبقى
+
+69
+00:06:58,980 --> 00:07:07,140
+مالها؟ bounded يبقى so the sequence is bounded
+
+70
+00:07:07,140 --> 00:07:10,340
+يبقى
+
+71
+00:07:10,340 --> 00:07:14,200
+تحقق ال condition الأولاني أن ال sequence اللي
+
+72
+00:07:14,200 --> 00:07:20,980
+عندنا صارت bounded sequence طبعا؟ طيب يبقى نتحقق
+
+73
+00:07:20,980 --> 00:07:25,620
+الشرط الأول تبع من؟ تبع اللي هو النظرينيجي للشرط
+
+74
+00:07:25,620 --> 00:07:26,200
+التاني
+
+75
+00:07:29,350 --> 00:07:37,690
+الان الحد النوني هو واحد على ان تربية الحد النوني
+
+76
+00:07:37,690 --> 00:07:44,170
+الزائد واحد هو واحد على ان زائد واحد لكل تربية
+
+77
+00:07:46,730 --> 00:07:53,450
+الأول أكبر من الثاني إذا هذا صحيح لكل ال in من عند
+
+78
+00:07:53,450 --> 00:07:58,230
+الواحد واطلع يبقى هذا صحيح لكل ال in اللي greater
+
+79
+00:07:58,230 --> 00:08:03,690
+than or equal to one يبقى هذا شو معناه؟ معناه أن
+
+80
+00:08:03,690 --> 00:08:12,670
+ال sequence decreasing يبقى this means that the
+
+81
+00:08:12,670 --> 00:08:21,750
+sequence isdecreasing مادام decreasing هذا معناته
+
+82
+00:08:21,750 --> 00:08:32,230
+ان ال sequence is monotonic اذا انتحقق الشرطان
+
+83
+00:08:32,230 --> 00:08:39,650
+لاتنين تبعت النظرية بروح بقوله by the above
+
+84
+00:08:39,650 --> 00:08:43,550
+theorem the sequence
+
+85
+00:08:45,470 --> 00:08:52,790
+1 على انت ربيع convert وانتهينا من هذا ال section
+
+86
+00:08:52,790 --> 00:08:59,410
+وإليكم أرقام المسائل الخاصة بهذا ال section يبقى
+
+87
+00:08:59,410 --> 00:09:10,570
+exercises عشرة واحد المسائل من واحد لستة أو تسعين
+
+88
+00:09:10,570 --> 00:09:13,950
+لل multiple of
+
+89
+00:09:40,510 --> 00:09:43,370
+ننتقل الان الى section عشرة
+
+90
+00:09:46,660 --> 00:09:52,520
+اللي هو الـ M by 9 series
+
+91
+00:09:52,520 --> 00:09:56,040
+M
+
+92
+00:09:56,040 --> 00:10:03,480
+by 9 series يعني 8 سلسلات اللانهائية
+
+93
+00:10:08,530 --> 00:10:13,530
+يبقى كنا نتحدث سابقا عن ال infinite sequences في
+
+94
+00:10:13,530 --> 00:10:17,230
+ال section الأول لأن في ال section التاني نتكلم عن
+
+95
+00:10:17,230 --> 00:10:24,750
+ال infinite series يبقى المتسلسلات اللانهائية بدنا
+
+96
+00:10:24,750 --> 00:10:29,270
+نعطي تعريف وبعد التعريف نشوف كيف بدنا نحكم على ال
+
+97
+00:10:29,270 --> 00:10:34,510
+series هل هي converge او divergeلو راجعنا لتعريف
+
+98
+00:10:34,510 --> 00:10:37,650
+ال sequence بيجي نقول ال sequence على الشكل a1
+
+99
+00:10:37,650 --> 00:10:44,470
+فاصلة a2 فاصلة a3 فاصلة a4 لغاية فاصلة an ونبقى
+
+100
+00:10:44,470 --> 00:10:49,950
+الماشي ال infinite series هذه الحدود بنجمعها جامعة
+
+101
+00:10:49,950 --> 00:10:55,370
+بدل الفاصلة بنحط شعرات يبقى a1 plus a2 plus a3
+
+102
+00:10:55,370 --> 00:10:59,710
+plus plus إلى آخرىيبقى اللى بيطلع بيكون هو بنسميه
+
+103
+00:10:59,710 --> 00:11:04,770
+infinite series يبقى بدنا نكتب هذا ال definition و
+
+104
+00:11:04,770 --> 00:11:08,870
+بعد هك بدنا نشوف ال convergence اللى يبقى
+
+105
+00:11:08,870 --> 00:11:13,390
+definition an infinite series
+
+106
+00:11:20,230 --> 00:11:30,950
+متسلسل اللانهائية is the sum of an infinite
+
+107
+00:11:30,950 --> 00:11:36,090
+sequence
+
+108
+00:11:36,090 --> 00:11:43,070
+of numbers
+
+109
+00:11:48,710 --> 00:11:58,290
+of numbers that is الانفينيت
+
+110
+00:11:58,290 --> 00:12:04,470
+الانفينيت
+
+111
+00:12:04,470 --> 00:12:07,690
+series
+
+112
+00:12:07,690 --> 00:12:16,190
+is an expression in the form is an expression
+
+113
+00:12:22,630 --> 00:12:32,750
+الشكل التالي a1 plus a2 plus a3 plus an plus نقط
+
+114
+00:12:32,750 --> 00:12:33,830
+بالشكل اللي عندها
+
+115
+00:12:39,140 --> 00:12:41,980
+هذا بقدر اكتبه على الشكل التالي
+
+116
+00:12:52,180 --> 00:12:58,040
+يبقى هذا الشكل العام للسيريز أو هذا الشكل وبالتالي
+
+117
+00:12:58,040 --> 00:13:02,820
+اختلف شكله عن شكل ال man ال sequence طب الشكل لأن
+
+118
+00:13:02,820 --> 00:13:08,140
+هذا لو حطيت ان بواحد بحصل على مين على اي واحد
+
+119
+00:13:08,140 --> 00:13:12,580
+summation جاء من كلمة sum يبقى جامع يبقى plus
+
+120
+00:13:29,150 --> 00:13:38,570
+الشكل الطويل والكبير تبع من ال series الان نبحث
+
+121
+00:13:38,570 --> 00:13:40,550
+عن ال convergence
+
+122
+00:13:54,240 --> 00:14:01,360
+طيبأنا حتى الآن على ال series ماعنديش معلومات إلا
+
+123
+00:14:01,360 --> 00:14:05,720
+بس شكل الحد النوني في ال series، زي ذلك ماعنديش
+
+124
+00:14:05,720 --> 00:14:11,400
+معلومات، تمام؟ طب عايش الحل؟ آه، كويس، من ال
+
+125
+00:14:11,400 --> 00:14:17,790
+series اللي عندي، إذا جدرت أخلق sequenceوالـ
+
+126
+00:14:17,790 --> 00:14:21,970
+sequence هذه كانت convert، يبقى الـ series convert
+
+127
+00:14:21,970 --> 00:14:25,910
+وإذا الـ sequence ضيفر، يبقى الـ series هذه معلها
+
+128
+00:14:25,910 --> 00:14:30,630
+ضيفر السؤال كيف بدك تكوّن الـ sequence اللي عندك
+
+129
+00:14:30,630 --> 00:14:35,310
+هذا؟ بقولك بسيطة جدا، شوف يا سيدي، بدأتي للحد
+
+130
+00:14:35,310 --> 00:14:40,990
+الأول في الـ sequence، بدأسميه S1 مين هو الـ S1؟
+
+131
+00:14:40,990 --> 00:14:46,890
+بدأقول هو الحد الأول في الـ seriesالان بالداجل
+
+132
+00:14:46,890 --> 00:14:53,470
+الحد التاني في ال sequence S2 هو عبارة عن a1 plus
+
+133
+00:14:53,470 --> 00:15:01,470
+a2 مجموعة دين من حدود ال series بالداجل ال S3 هو
+
+134
+00:15:01,470 --> 00:15:09,440
+عبارة عن a1 زائد a2 زائد a3ونبقى مستمرين على
+
+135
+00:15:09,440 --> 00:15:15,840
+هالشغل هذه لغاية ما نوصل لمين لغاية ما نوصل ل S N
+
+136
+00:15:15,840 --> 00:15:24,640
+يبقى هذا ال S N مضاج يقول هنا ضالنا الزائد هذا ال
+
+137
+00:15:24,640 --> 00:15:29,960
+S تيدي لحد تلاتة فقط ما غير فاصلة نبقى ماشيين
+
+138
+00:15:29,960 --> 00:15:37,970
+لغاية ما نوصل ل S N S N هو عبارة عن A1 plus A2plus
+
+139
+00:15:37,970 --> 00:15:41,290
+a2 plus a3 plus a2 plus a2 plus a3 plus a2 plus a2
+
+140
+00:15:41,290 --> 00:15:43,770
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+141
+00:15:43,770 --> 00:15:45,190
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+142
+00:15:45,190 --> 00:15:45,930
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+143
+00:15:45,930 --> 00:15:45,930
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+144
+00:15:45,930 --> 00:15:46,070
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+145
+00:15:46,070 --> 00:15:46,070
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+146
+00:15:46,070 --> 00:15:46,070
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+147
+00:15:46,070 --> 00:15:46,070
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+148
+00:15:46,070 --> 00:15:46,070
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+149
+00:15:46,070 --> 00:15:46,070
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+150
+00:15:46,070 --> 00:15:46,070
+plus a2 plus a2 plus a2 plus a2 plus a2 plus a2
+
+151
+00:15:46,070 --> 00:15:52,070
+plus a2 plus aعندما تكون عندنا سيكوانس جديدة نكتب
+
+152
+00:15:52,070 --> 00:15:58,030
+هذه السيكوانس و نعرف اسم هذه السيكوانس طلعني لحدود
+
+153
+00:15:58,030 --> 00:16:05,930
+السيكوانس S1 و S2 و S3 كونهم عن طريق جامعة جزء E
+
+154
+00:16:05,930 --> 00:16:13,280
+لحدود السيريزأذا بدّي أروح أسميها متتابعة المجاميع
+
+155
+00:16:13,280 --> 00:16:19,400
+الجزئية The sequence of partial sums يبقى باجي
+
+156
+00:16:19,400 --> 00:16:29,900
+بقوله هنا The sequence of partial sums الجمع
+
+157
+00:16:29,900 --> 00:16:35,220
+الجزي، المجاميع الجزئية The sequence of partial
+
+158
+00:16:35,220 --> 00:16:43,440
+sums isبدي أسميها الـ Sn بدلالة الحد النوني فيها
+
+159
+00:16:43,440 --> 00:16:49,220
+بالشكل هذا لو بدي أكتبها بالشكل المطول يبقى S1
+
+160
+00:16:49,220 --> 00:16:57,520
+فاصلة S2 فاصلة S3 فاصلة Sn فاصلة إلى ما شاء الله
+
+161
+00:17:00,090 --> 00:17:06,030
+يبقى هذا صار شكل ال sequence الجديدة نقول اه إذا
+
+162
+00:17:06,030 --> 00:17:10,290
+والله ال sequence هذه convert يبقى ال series
+
+163
+00:17:10,290 --> 00:17:14,990
+convert وإذا ال sequence هذه diverge إذا ال series
+
+164
+00:17:14,990 --> 00:17:20,050
+هذه مالها diverge ونعرف نحكم على ال sequence اللي
+
+165
+00:17:20,050 --> 00:17:23,430
+هي converge أو diverge من خلال ال section الماضي
+
+166
+00:17:23,430 --> 00:17:28,070
+اللي هو section عشرة واحد فبعدين بحقق القاعدة عندي
+
+167
+00:17:28,070 --> 00:17:40,120
+كالتالي ifthe sequence of partial sums اللي mean
+
+168
+00:17:40,120 --> 00:17:50,280
+is in converge or diverge هدى او هدى then the
+
+169
+00:17:50,280 --> 00:17:58,440
+seriesالإيمان summation من n equal one to infinity
+
+170
+00:17:58,440 --> 00:18:08,360
+لل a and converge or divergeيعني ايه؟ يعني إذا ال
+
+171
+00:18:08,360 --> 00:18:11,780
+sequence of partial sums convert، يبقى ال series
+
+172
+00:18:11,780 --> 00:18:17,260
+convert إذا ال sequence of partial sums diverge،
+
+173
+00:18:17,260 --> 00:18:22,800
+إذا ال series لأنها دي ما لها، diverge فبفترض إن
+
+174
+00:18:22,800 --> 00:18:27,880
+ال sequence of partial sums convert يعني معناته
+
+175
+00:18:27,880 --> 00:18:33,020
+فيها، إنها limit يبقى ماجي بقوله هنا F
+
+176
+00:18:36,940 --> 00:18:47,720
+سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا
+
+177
+00:18:47,720 --> 00:18:51,560
+سيكوينس
+
+178
+00:18:51,560 --> 00:18:51,560
+اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس
+
+179
+00:18:51,560 --> 00:18:52,220
+اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس
+
+180
+00:18:52,220 --> 00:18:52,220
+اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس
+
+181
+00:18:52,220 --> 00:18:52,240
+اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس
+
+182
+00:18:52,240 --> 00:18:52,380
+اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا سيكوينس
+
+183
+00:18:52,380 --> 00:19:02,380
+اذا سيكوينس اذا سيكوينس اذا سيكوينس اذا
+
+184
+00:19:04,730 --> 00:19:14,830
+بدي ساوي L كويس وال L هذه معناها أقل من infinity
+
+185
+00:19:14,830 --> 00:19:19,110
+طبعا؟
+
+186
+00:19:19,110 --> 00:19:25,750
+طيب يبقى لها limit وال limit هذه تساوي مين؟ ال L
+
+187
+00:19:25,750 --> 00:19:36,800
+في هذه الحالة بروح بقول له the sumof the series S
+
+188
+00:19:36,800 --> 00:19:43,700
+بديله capital S وبقول هو عبارة عن مين؟ عن ال L أو
+
+189
+00:19:43,700 --> 00:19:49,860
+بقول S summation من N equal one to infinity لل A N
+
+190
+00:19:49,860 --> 00:19:54,620
+هذا المجموع كله بدي سوى مين؟ اللي هو مقدار ال
+
+191
+00:19:54,620 --> 00:19:55,220
+limit
+
+192
+00:20:01,460 --> 00:20:07,680
+نعطي مثال فوضيحي على الكلام اللي بنقوله هذا
+
+193
+00:20:07,680 --> 00:20:20,000
+example discuss
+
+194
+00:20:20,000 --> 00:20:24,300
+the convergence نقش
+
+195
+00:20:24,300 --> 00:20:28,060
+لتقارب the convergence
+
+196
+00:20:37,560 --> 00:20:46,540
+من N إيقال 1 لإنفينيتي لناقص واحد to the power N
+
+197
+00:20:46,540 --> 00:20:54,480
+minus الواحد solution
+
+198
+00:20:54,480 --> 00:20:59,840
+شوفوا
+
+199
+00:20:59,840 --> 00:21:05,730
+يا شباببقول يناقش لي تقارب أو تباعد ال series اللي
+
+200
+00:21:05,730 --> 00:21:10,170
+عنها بقول ياريخ نتعرف على شكلها في الأول و بعدين
+
+201
+00:21:10,170 --> 00:21:15,390
+بنقدر نحكم هل هي convert او buy that فبجي بقوله
+
+202
+00:21:15,390 --> 00:21:20,170
+summation من n equal one to infinity the minus
+
+203
+00:21:20,170 --> 00:21:25,530
+واحد to the power n minus ال one يساوي بدي أبدأ
+
+204
+00:21:25,530 --> 00:21:31,230
+بالواحد يبقى الحد الأول واحدحُط ان بإتنين بصير
+
+205
+00:21:31,230 --> 00:21:37,770
+سالب واحد اقص واحد اللي هو كم سالب واحد حُط ان
+
+206
+00:21:37,770 --> 00:21:44,170
+بثلاثة بصير ناقص واحد تربيه اللي هو كم واحد حُط ان
+
+207
+00:21:44,170 --> 00:21:50,670
+باربعة بصير سالب واحد زائد وعلى الشكلة لغاية ما
+
+208
+00:21:50,670 --> 00:21:56,470
+نصل إلى ناقص واحد to the power ان plus one زائد
+
+209
+00:21:56,470 --> 00:22:03,870
+لانرف الله الأرض ومن عليهاتمام؟ طيب هذه مين؟ هذه
+
+210
+00:22:03,870 --> 00:22:08,730
+ال infinite series بدي أعرف هل هي converge و لا
+
+211
+00:22:08,730 --> 00:22:13,690
+diverse بقول الله أعلم لكن في الجزء النظر البسيط
+
+212
+00:22:13,690 --> 00:22:18,750
+هذا ممكن أكوّن ال sequence of partial sums لهذه ال
+
+213
+00:22:18,750 --> 00:22:23,470
+series و من ثم أحكم من خلال النتيجة اللي عندي إذا
+
+214
+00:22:23,470 --> 00:22:30,870
+لو جاتي قلت بدي أجي لل S1 يسوى قد واحدالـ S2 سيكون
+
+215
+00:22:30,870 --> 00:22:36,690
+واحد ناقص واحد سيكون واحد
+
+216
+00:22:36,690 --> 00:22:58,590
+ناقص
+
+217
+00:22:58,590 --> 00:22:58,590
+واحد
+
+218
+00:23:05,290 --> 00:23:12,370
+والتالت واحد والرابع مجرد وهلوم فما هي رأيك في
+
+219
+00:23:12,370 --> 00:23:16,190
+الـsequence هذي الـconverge و لا الـdiverge؟ يبقى
+
+220
+00:23:16,190 --> 00:23:25,390
+باجي بقول له هذه الـsequence مختلفة لأنها
+
+221
+00:23:25,390 --> 00:23:27,110
+تتحرك
+
+222
+00:23:31,820 --> 00:23:40,700
+between two different limits
+
+223
+00:23:42,270 --> 00:23:48,410
+مين ال two different limits اللي هو واحد and زيرو
+
+224
+00:23:48,410 --> 00:23:53,310
+لذلك ال sequence of partial sums مالها divaried
+
+225
+00:23:53,310 --> 00:23:55,850
+مدام ال sequence هي divaried يبقى ال series
+
+226
+00:23:55,850 --> 00:24:04,850
+الأصلية divaried يبقى ال series summationمن n
+
+227
+00:24:04,850 --> 00:24:09,850
+equal one to infinity لنقص واحد to the power n
+
+228
+00:24:09,850 --> 00:24:13,570
+minus one مالها by virtue
+
+229
+00:24:30,780 --> 00:24:36,240
+طيب السؤال اللى قال ممكن يدور فى دماغ البعض منكوا
+
+230
+00:24:36,240 --> 00:24:40,500
+انتوا جاعدين إيه لم يكن فى دماغ الكل؟ إذا كان كل
+
+231
+00:24:40,500 --> 00:24:43,660
+سؤال بدنا نقعد نسويله و هيك ده دي قصتنا حزينة و
+
+232
+00:24:43,660 --> 00:24:48,350
+بتطوريعني كل series لسه بدى احويلها لل sequence
+
+233
+00:24:48,350 --> 00:24:51,650
+واروح ادور على ال sequence by vary و لا by convert
+
+234
+00:24:51,650 --> 00:24:57,130
+و هدى اسقط هدى على ال series هدى قصة طويلة تمام؟
+
+235
+00:24:57,130 --> 00:25:03,070
+لذلك احنا يعني عند الضرورة بدنا نرجع للمثل اللي زي
+
+236
+00:25:03,070 --> 00:25:09,590
+هيك غير الضرورة في عندنا تلاتة series مشهورةوستة
+
+237
+00:25:09,590 --> 00:25:13,830
+اختبارات من خلالها نقدر نحكم على ال series هل هي
+
+238
+00:25:13,830 --> 00:25:17,550
+convert او buy and sell في ال section اللي بين
+
+239
+00:25:17,550 --> 00:25:22,610
+ادينا بدنا ناخد اختبار واحد ومتسلسلة واحدة ال
+
+240
+00:25:22,610 --> 00:25:28,870
+series واحدة والباقية ال sections القادمة تمام؟
+
+241
+00:25:28,870 --> 00:25:32,590
+فالمهم اول series من ال series التلاتة اللي بدنا
+
+242
+00:25:32,590 --> 00:25:36,220
+ناخدها في هذا ال sectionوحدة أخدتها في تانية
+
+243
+00:25:36,220 --> 00:25:40,700
+ثانوية أو في الصف الحادى عشر اللي هو المتسلسل
+
+244
+00:25:40,700 --> 00:25:45,900
+الهندسية مش خدته متوالية هندسية ومتوالية عددية
+
+245
+00:25:45,900 --> 00:25:50,140
+تانية ثانوية، مظبوط؟ سيبنا من العددية، خلينا مع
+
+246
+00:25:50,140 --> 00:25:56,190
+الهندسيةيبقى مع المتوالي الهندسي هادي من خلالها
+
+247
+00:25:56,190 --> 00:26:00,410
+اتحكم على بعض ال series هل هي conveyed او divided
+
+248
+00:26:00,410 --> 00:26:06,810
+كيف كتارى يبقى بدنا نيجي نذكر بمين هي ال geometric
+
+249
+00:26:06,810 --> 00:26:12,790
+series للمتسلسلة الهندسية يبقى بدنا نيجي لل
+
+250
+00:26:12,790 --> 00:26:14,550
+geometric series
+
+251
+00:26:30,320 --> 00:26:40,440
+it is a series in the form بالمناسبة
+
+252
+00:26:40,440 --> 00:26:46,240
+كلمة series هذه جامعة ومفردجمع زي المفرد نفس
+
+253
+00:26:46,240 --> 00:26:51,040
+الكتابة يبقى نقصدها المفرد أو الجمع يبقى it is a
+
+254
+00:26:51,040 --> 00:27:00,760
+series in the form ال A زائد AR زائد AR تربيع زائد
+
+255
+00:27:00,760 --> 00:27:10,300
+AR تكيب زائد AR plus N ناقص واحد زائد إلى آخرينهذه
+
+256
+00:27:10,300 --> 00:27:18,640
+ممكن اكتبها على الشكل المختصر ال A R أس N ناقص
+
+257
+00:27:18,640 --> 00:27:26,800
+واحد من عند ال N بدها تساوي واحد إلى انفلت طيب ايش
+
+258
+00:27:26,800 --> 00:27:34,160
+ال A و ايش ال R وما إلى ذلك خلّي بالك انا بقول N
+
+259
+00:27:34,160 --> 00:27:39,730
+ناقص واحد وليس زائد واحد الآن بوريك ليشالحد الأول
+
+260
+00:27:39,730 --> 00:27:47,230
+فيه R، الحد التاني الـR أس واحد، الحد التاني R
+
+261
+00:27:47,230 --> 00:27:53,310
+تربيع أقل منه بواحد، الحد الرابع A R تكييب، يعني
+
+262
+00:27:53,310 --> 00:27:58,450
+أقل من الأربع من أقل واحد، إذا الحد النوني الـR
+
+263
+00:27:58,450 --> 00:28:03,670
+بدأ يكون أس إناقص الواحد، تمام؟ كويس، يبقى هذا
+
+264
+00:28:03,670 --> 00:28:08,840
+شكلها بالشكل اللي عندنا هذاطبعا ال index اللى تحت
+
+265
+00:28:08,840 --> 00:28:12,840
+الصماش ان عند N يساوي 1 ممكن اخلهم ان عند N يساوي
+
+266
+00:28:12,840 --> 00:28:19,120
+0 كيف تخليهم عند N يساوي 0؟ يعني هذا مش الشكل هذا
+
+267
+00:28:19,120 --> 00:28:23,750
+القرآن نزل من السماء مافيش غيرهلأ لأ بقدر اقف على
+
+268
+00:28:23,750 --> 00:28:29,490
+الشكل التالي ال summation شو رايك لو شيلت كل انه
+
+269
+00:28:29,490 --> 00:28:35,210
+حطيت مكانها n زائد واحد بس يده عند يمين n زائد
+
+270
+00:28:35,210 --> 00:28:41,970
+واحد بدها تساوي واحد لمين؟ لل infinity ل A R قس N
+
+271
+00:28:41,970 --> 00:28:49,320
+زائد واحدن زائد واحد وهي الناقص واحد يعني هذه
+
+272
+00:28:49,320 --> 00:28:54,180
+الاشي بتعطينا summation من n تساوي هات للواحد على
+
+273
+00:28:54,180 --> 00:29:01,360
+الشجرة التانية بصير zero إلى infinity لل ar أس n
+
+274
+00:29:01,360 --> 00:29:07,480
+فقط لا غير طب اطلعلي في الشكل اللي عندنا هذا
+
+275
+00:29:07,480 --> 00:29:14,040
+واطلعلي في الشكل اللي عندنا هذاشكلهم مختلفين عن
+
+276
+00:29:14,040 --> 00:29:20,760
+بعض، شكلا، مظبوط، لكن في الحقيقة هذه الصيغة هي هذه
+
+277
+00:29:20,760 --> 00:29:25,260
+الصيغة بالضبط تماما، عظم الصيغة الأولى مأمنين أنها
+
+278
+00:29:25,260 --> 00:29:30,920
+هذه طب بدأ أشوف هذه، تبدأ بال M تساوي Zero، اقرأ
+
+279
+00:29:30,920 --> 00:29:36,340
+ال Zero بواحد، في أيه؟ هيه، بعد ال Zero مين
+
+280
+00:29:36,340 --> 00:29:36,980
+بيجيني؟
+
+281
+00:29:57,790 --> 00:30:03,030
+عادة تغيير الدليل لتحت الـ summation ونجيب لك بطل
+
+282
+00:30:03,030 --> 00:30:07,560
+ال summation جد ما بدك و كلهم R equivalentبتكون هم
+
+283
+00:30:07,560 --> 00:30:11,920
+بطابقوا بعض ما علينا مش هذه مشكلة الحين انا مشكلتي
+
+284
+00:30:11,920 --> 00:30:17,000
+مع ال geometric series طيب ال geometric series هذا
+
+285
+00:30:17,000 --> 00:30:22,780
+هه يا شباب له ايه بسميه ال first term ايش يعني
+
+286
+00:30:22,780 --> 00:30:27,680
+first term يعني الحد الأول في ال sequence زي ما
+
+287
+00:30:27,680 --> 00:30:32,700
+هذا بسميه الحد النوني ال nth term في ال series
+
+288
+00:30:32,700 --> 00:30:35,880
+اللي عندنا طيب و ال R؟
+
+289
+00:30:38,210 --> 00:30:42,930
+أقولكوا تستأنى شوية اقسم الحد التانى على الحد
+
+290
+00:30:42,930 --> 00:30:49,110
+الاول كدهش بطلع اقسم الحد التالت على التالت R اقسم
+
+291
+00:30:49,110 --> 00:30:53,290
+الحد الرابع على التالت R يعني في الـ Geometric
+
+292
+00:30:53,290 --> 00:30:58,850
+Series اقسم اي حد على الحد السابق له مباشرة بطلع
+
+293
+00:30:58,850 --> 00:31:03,770
+عندنا لومين R مين هي ال R بجاند نسميها في التنوية
+
+294
+00:31:03,770 --> 00:31:11,400
+أساس المتوالية مظلومهنا كمان هقول ان سميها النسبة
+
+295
+00:31:11,400 --> 00:31:16,300
+ال ratio ناشر ratio لان بنجسم كل حد على الحد اللي
+
+296
+00:31:16,300 --> 00:31:19,880
+جابله و بطلع عليها هذا الرقم يبقى كان هذه نسبة بين
+
+297
+00:31:19,880 --> 00:31:28,930
+رقمين يبقى وال R is the ratioيبقى هي النسبة أوي
+
+298
+00:31:28,930 --> 00:31:34,170
+للأساس كنا في الثانوية بنسميها الأساس طيب ال
+
+299
+00:31:34,170 --> 00:31:39,470
+geometric هذه ال series converge ولا diverge يبقى
+
+300
+00:31:39,470 --> 00:31:43,910
+باجي بقوله بدي أحط القاعدة اللي عندنا the
+
+301
+00:31:43,910 --> 00:31:51,380
+geometric series اللي هي ال summationمن n equal
+
+302
+00:31:51,380 --> 00:31:59,180
+one to infinity لل a أرقص n ناقص واحد converge if
+
+303
+00:31:59,180 --> 00:32:05,040
+ال absolute value للr أقل من الواحد الصحيح and
+
+304
+00:32:05,040 --> 00:32:11,020
+diverge if ال absolute value للr greater than or
+
+305
+00:32:11,020 --> 00:32:19,200
+equal to one كويس
+
+306
+00:32:21,260 --> 00:32:28,100
+هذا يا شباب أخدته في الثانوية والكتاب رايح مثبته
+
+307
+00:32:28,100 --> 00:32:32,620
+كمان مرة، نفس الإثبات اللي في الكتاب الثانوي،
+
+308
+00:32:32,620 --> 00:32:40,050
+ماتغيرش، ولذلك مش هروح اتبتلجبدأت تحطها في دماغها
+
+309
+00:32:40,050 --> 00:32:44,350
+القاعدة لإنه بدنا نبدأ نشتغل بها إن الـ Geometric
+
+310
+00:32:44,350 --> 00:32:49,190
+Caddy Series Converged إذا الأساس تبعها أقل من
+
+311
+00:32:49,190 --> 00:32:53,850
+واحد صحيح يعني محصور بين مين ومين، بين واحد وسالب
+
+312
+00:32:53,850 --> 00:32:59,500
+واحد وDiverged إذا كان الارتو ساوي واحد أوأكبر من
+
+313
+00:32:59,500 --> 00:33:05,860
+الواحد الصحيح أو أصغر من سالب واحد صحيح تمام؟ يبقى
+
+314
+00:33:05,860 --> 00:33:10,280
+بواسطته بنقدر نحكم على series، converts أو بذر طب
+
+315
+00:33:10,280 --> 00:33:14,380
+لو افترض ما انها convert مش اللي هى مجموعة بده
+
+316
+00:33:14,380 --> 00:33:20,840
+يكون حد مش ذاكر مثلوية كده مجموعة متسلسلة أندفية
+
+317
+00:33:20,840 --> 00:33:25,840
+لانهائية التنازلية
+
+318
+00:33:25,840 --> 00:33:35,280
+يلا بالمرة كمان كدهشواحد طب انا بقول اثنين كيف؟
+
+319
+00:33:38,280 --> 00:33:43,300
+لأ، شوف اتكلمش عن المتسلسلة العادية، انا اتكلم عن
+
+320
+00:33:43,300 --> 00:33:48,600
+المتسلسلة اللانهائية، هذه كلمة ذاكرة فيها كان دي
+
+321
+00:33:48,600 --> 00:33:51,760
+ميساوي ألف ريح و أسنون ناقص واحد على ريح ناقص واحد
+
+322
+00:33:51,760 --> 00:33:56,620
+أو ألف واحد ناقص ريح و أسنون على واحد ناقص ريح،
+
+323
+00:33:56,620 --> 00:34:01,180
+حسب ريح أكبر واحد صحيح ولا أصلا، احنا بنتكلم الآن
+
+324
+00:34:01,180 --> 00:34:07,620
+على اللانهائية، حد ميزكر؟بالمرة ولا واحد؟ يبقى ..
+
+325
+00:34:07,620 --> 00:34:12,980
+بنقول المجموع يساوي الحد الأول على واحد ما قص
+
+326
+00:34:12,980 --> 00:34:23,880
+الأساس باشي؟ يبقى F ده Geometric والله خدتوه حليته
+
+327
+00:34:23,880 --> 00:34:28,280
+مسائل كتير إذا نزلها F ده Geometric Series
+
+328
+00:34:43,100 --> 00:34:49,680
+المجموعة تبعها هديله الرمز is يساوي الحد الأول على
+
+329
+00:34:49,680 --> 00:34:56,700
+راحة ناقص الأساسبجيت و اذاكرك جيم نون يسوى ألف على
+
+330
+00:34:56,700 --> 00:35:02,000
+واحد ناقص رهب وهنا نفس الجثة S يسوى الحد الأول
+
+331
+00:35:02,000 --> 00:35:08,400
+اللي هو A على واحد ناقص الأساس طيب نعطيك بعض
+
+332
+00:35:08,400 --> 00:35:14,320
+الأمثلة على ذلك و نشوف كيف بنحل هذه الأمثلة يبقى
+
+333
+00:35:14,320 --> 00:35:14,940
+examples
+
+334
+00:35:20,710 --> 00:35:26,890
+بقول which of the following series which of the
+
+335
+00:35:26,890 --> 00:35:31,030
+following series
+
+336
+00:35:31,030 --> 00:35:34,050
+converge
+
+337
+00:35:34,050 --> 00:35:48,210
+and which by that if the series converge fine
+
+338
+00:35:49,760 --> 00:35:55,840
+its sum يبقى إذا كانت convert بدنا المجموع تبعها
+
+339
+00:35:55,840 --> 00:36:03,280
+نبره واحد summation من n equal zero to infinity ل
+
+340
+00:36:03,280 --> 00:36:10,980
+-1 to the power n خمسة على أربعة to the power n
+
+341
+00:36:10,980 --> 00:36:16,290
+بقولوا شيف ليها ال series هذي convertوالله ضايفينه
+
+342
+00:36:16,290 --> 00:36:20,650
+وإذا كانت conveyor بدي المجموع أول شغلة بدي أفحص
+
+343
+00:36:20,650 --> 00:36:25,330
+هل هي geometric و الله ماهياش geometric إذا بدي
+
+344
+00:36:25,330 --> 00:36:30,870
+أعيد صياغة هذه ال series على الشكل التالي N equal
+
+345
+00:36:30,870 --> 00:36:36,420
+zero to infinity الخمسة مقدار ثابتهذا سالب واحد أس
+
+346
+00:36:36,420 --> 00:36:42,500
+إنه وهذه أربعة أس إنه يبقى كأنه سالب واحد على
+
+347
+00:36:42,500 --> 00:36:49,400
+أربعة كله to the power n طب السؤال هو صار شكلها
+
+348
+00:36:49,400 --> 00:36:56,740
+Geometric ولا لا؟زي الشكل هذا او لا؟ اه حط النبوحة
+
+349
+00:36:56,740 --> 00:37:01,440
+ب zero واحد اتنين ثلاثة تصير خمسة خمسة فترات ربع
+
+350
+00:37:01,440 --> 00:37:05,620
+خمسة فترات ربع تقريب خمسة فترات ربع تقريب إلى ما
+
+351
+00:37:05,620 --> 00:37:08,960
+شاء الله طب هل هي ال conversion ولا ال divergence؟
+
+352
+00:37:08,960 --> 00:37:14,660
+هذا شفوي بمجرد النظر conversion ولا divergence؟
+
+353
+00:37:14,660 --> 00:37:18,160
+قداشي ratio؟ خمسة
+
+354
+00:37:20,980 --> 00:37:26,940
+خمسة إيها مثابت فيهم كلهم، يبقى ال ratio هي R،
+
+355
+00:37:26,940 --> 00:37:32,260
+مظبوط؟ R قبل داسم، ثالث وربع، absolute value لها،
+
+356
+00:37:32,260 --> 00:37:35,580
+الرابع هو الرابع أقل، يبقى convergent ولا
+
+357
+00:37:35,580 --> 00:37:42,810
+divergent، يبقى W automatic، convergentجيومتريك
+
+358
+00:37:42,810 --> 00:37:51,650
+سيريز والسبب because absolute value لل R يسوي
+
+359
+00:37:51,650 --> 00:37:57,570
+absolute value للثالث بربع يسوي ربع أقل من الواحد
+
+360
+00:37:57,570 --> 00:38:03,660
+الصحيةقال يا صاحبي ده المثل كله بدك تجيبليه
+
+361
+00:38:03,660 --> 00:38:12,480
+المجموع بقوله بسيطة يبقى باجي بقوله هنا it's some
+
+362
+00:38:12,480 --> 00:38:19,020
+asهذا ال S يساوي يبدأ يقول الحد الأول جدّيش الحد
+
+363
+00:38:19,020 --> 00:38:25,280
+الأول حط NF0 بتحصل لحد الأول بصير هذا واحد في خمسة
+
+364
+00:38:25,280 --> 00:38:31,840
+يبقى خمسة على واحد ناقص الأساس بتحط ال S الأساس
+
+365
+00:38:31,840 --> 00:38:40,390
+بإشارته يبقى هذا الكلام بده يساوي خمسة علىواحد
+
+366
+00:38:40,390 --> 00:38:47,710
+زائد ربع، واحد وربع يعني خمس أربع يبقى خمسة على
+
+367
+00:38:47,710 --> 00:38:55,470
+أربع يبقى النتج بيعطيك أربع مجموع ال series سؤال
+
+368
+00:38:55,470 --> 00:38:56,230
+الثاني
+
+369
+00:39:12,840 --> 00:39:18,840
+بقل شوف ليها ال series هذي convert والله ضيفاش
+
+370
+00:39:18,840 --> 00:39:23,220
+بقول بسيطة احنا موضوعنا موضوع ال geometric series
+
+371
+00:39:23,560 --> 00:39:29,740
+هل هذه Geometric ولا ماهياش Geometric إذا بقدر
+
+372
+00:39:29,740 --> 00:39:34,580
+أقوله summation من n equal zero to infinity هذي
+
+373
+00:39:34,580 --> 00:39:41,100
+اتنين أس ان زائد تلاتة يعني معناته اتنين تكييب في
+
+374
+00:39:41,100 --> 00:39:49,160
+الاتنين أس ان على تلاتة أس انأو ان شئتم فقولوا
+
+375
+00:39:49,160 --> 00:39:54,280
+summation من n equal zero to infinity اتنين تكعيبة
+
+376
+00:39:54,280 --> 00:40:00,920
+بقداش تمانية هذه اتنين أس ان ع تلاتة أس ان يعني
+
+377
+00:40:00,920 --> 00:40:07,480
+اتنين ع تلاتة كله to the power n صارت geometric و
+
+378
+00:40:07,480 --> 00:40:14,440
+converge كمان يبقى هذه بقول عنها convergeجيومتريك
+
+379
+00:40:14,440 --> 00:40:22,520
+سيريز السبب because ال absolute value لل R بده
+
+380
+00:40:22,520 --> 00:40:27,920
+يساوي تلتين والتلتين أقل من الواحد الصحية بدنا
+
+381
+00:40:27,920 --> 00:40:36,560
+المجموعة تبعها يبقى باجي بقوله it's some S ال S
+
+382
+00:40:36,560 --> 00:40:43,210
+يساوي الحد الأول كده الحد الأول اللي عندناتمانية
+
+383
+00:40:43,210 --> 00:40:51,090
+على مين؟ على واحد ناقص تلتين يبقى هذا الكلام بده
+
+384
+00:40:51,090 --> 00:40:56,330
+يعطينا تمانية على تلت اللي هو بقى تداشر باربع
+
+385
+00:40:56,330 --> 00:41:00,570
+وعشرين مجموع هذه ال series
+
+386
+00:41:12,070 --> 00:41:22,890
+طيب نعطي كمان مثال مثال تلاتة مثال
+
+387
+00:41:22,890 --> 00:41:28,210
+تلاتة نقول ال summation من n equal zero to
+
+388
+00:41:28,210 --> 00:41:35,770
+infinity ل cosine n pi على خمسة to the power n
+
+389
+00:41:41,260 --> 00:41:46,220
+اللي بنظر لهذا السؤال لأول وهلة بقول هذا وش جابله
+
+390
+00:41:46,220 --> 00:41:48,660
+و لا ال geometric شوفوا علاقة في ال geometric
+
+391
+00:41:48,660 --> 00:41:52,900
+بقولك تعالى نشوف هل هي geometric ولا ماهياش
+
+392
+00:41:52,900 --> 00:41:58,120
+geometric فبعدين بقوله خلينا نتعرف على الشكلة
+
+393
+00:41:58,120 --> 00:42:01,720
+وبعدين بنحكم هل هي geometric ولا غير geometric
+
+394
+00:42:01,720 --> 00:42:07,910
+فبعدين بقول لو كانت n تساوزي ل cosine سكربواحد
+
+395
+00:42:07,910 --> 00:42:14,110
+خمسة والصفر يبقى ال term الأول بواحد زائد بعد zero
+
+396
+00:42:14,110 --> 00:42:19,090
+بيجيني واحد بيصير ال cosine مية و تمانين سالب واحد
+
+397
+00:42:19,090 --> 00:42:26,970
+يبقى هاي سالب واحد على خمسة حط لي N باتنينبصير cos
+
+398
+00:42:26,970 --> 00:42:35,690
+2pi هو cos الصفر يعني مقدش بواحد على خمسة أس اتنين
+
+399
+00:42:35,690 --> 00:42:43,050
+اللي بعده بحط تلاتة بصير cos تلاتة pi هو ال period
+
+400
+00:42:43,050 --> 00:42:45,090
+لكتلة ال cosine مقدش
+
+401
+00:42:53,270 --> 00:43:00,870
+سالف واحد على خمسة كيلوزائد وضلك ماشي على هالشكل
+
+402
+00:43:00,870 --> 00:43:08,590
+هذه هتوصل لواحد على خمسة أس in زائد الله أعلم بس
+
+403
+00:43:08,590 --> 00:43:14,730
+الإشارة بقول سالب واحد أس in و بدي أتأكد هل
+
+404
+00:43:14,730 --> 00:43:19,370
+الإشارة اللي أنا كاتبها هذه صح ولا غلط فباجي بقول
+
+405
+00:43:19,370 --> 00:43:24,010
+احنا بدين من وين من عند ال zero يبقى zero zero
+
+406
+00:43:24,010 --> 00:43:30,260
+بيكون يبقى داشر واحد term الأول مظبوطحط واحد بصير
+
+407
+00:43:30,260 --> 00:43:37,560
+سالب خمس مظبوط حط n باثنين بصير واحد على خمسة
+
+408
+00:43:37,560 --> 00:43:42,940
+تربيع مظبوط وهكذا يبقى كله سليم مائة بالمائة يبقى
+
+409
+00:43:42,940 --> 00:43:48,520
+مسألة أصبحت على الشكل التالي summation من n equal
+
+410
+00:43:48,520 --> 00:43:54,460
+zero to infinity لناقص واحد على خمسة كله to the
+
+411
+00:43:54,460 --> 00:44:02,570
+power nايه اش رايك هذه؟ Geometric؟ طب حد بقدر يقول
+
+412
+00:44:02,570 --> 00:44:10,270
+يقدش الحد الاول فيها وعصا يقدش الاساس يبقى convert
+
+413
+00:44:10,270 --> 00:44:18,260
+ولا divert؟يبقى هذه converge geometric series
+
+414
+00:44:18,260 --> 00:44:26,400
+السبب because absolute value لل R يسوي absolute
+
+415
+00:44:26,400 --> 00:44:33,220
+value لسالب خمس يسوي خمس أقل من الواحدة الصحيةما
+
+416
+00:44:33,220 --> 00:44:38,220
+دام Conversion يبقى إليها مجموع يبقى باجي بقوله S
+
+417
+00:44:38,220 --> 00:44:45,220
+sum المجموع تبعها اللي هو S يسوى الحد الأول سألكوا
+
+418
+00:44:45,220 --> 00:44:52,540
+قداش قبل قليل قولتولي واحد على واحد ناقص ناقص خمس
+
+419
+00:44:52,540 --> 00:44:59,390
+يعني واحد على واحد وخمس واحد وخمس اللي هو قداش6
+
+420
+00:44:59,390 --> 00:45:05,970
+أخمس يساوي خمس أسداث هذا المجموع تبع من؟ تبع ال
+
+421
+00:45:05,970 --> 00:45:12,870
+series يعني جدرت أعرف ما هو شكل ال series و عقمت
+
+422
+00:45:12,870 --> 00:45:18,770
+عليها هل هي converge او diver النقطة الرابعة اللي
+
+423
+00:45:18,770 --> 00:45:28,730
+هي من؟ سالب تلتين تربية سالب تلتين تربية زائدسالب
+
+424
+00:45:28,730 --> 00:45:40,210
+تلتين تكيب، سالب تلتين تكيب، سالب تلتين تكيب، سالب
+
+425
+00:45:40,210 --> 00:45:46,050
+تلتين تكيب، سالب تلتين تكيب، سالب تلتين تكيب، سالب
+
+426
+00:45:46,050 --> 00:45:48,410
+تلتين تكيب، سالب تلتين تكيب،
+
+427
+00:45:58,710 --> 00:46:04,210
+خلّيني أبقى بالكم معانا حد بيقدر يجيب لجدّاه شكل
+
+428
+00:46:04,210 --> 00:46:14,190
+الحد النوني لهذه السيرة؟ ايه يقول؟ يعني
+
+429
+00:46:14,190 --> 00:46:25,340
+شكل الحد النوني هو سالب تلتين قصر تعالي شوفهنا لما
+
+430
+00:46:25,340 --> 00:46:30,180
+كانت N بواحد كانت تربية لما N باتنين صارت تكيب إلى
+
+431
+00:46:30,180 --> 00:46:38,060
+آخرها يبقى كداش N زائد واحد كده
+
+432
+00:46:41,670 --> 00:46:46,270
+ممتاز جدا يبجى لو كتبت بهذا الشكل معناته ال N
+
+433
+00:46:46,270 --> 00:46:52,370
+بيبدأ من وين؟ ممتاز جدا يبجى زائد إلى احد يعني ال
+
+434
+00:46:52,370 --> 00:46:59,490
+summation لسلب تلتين أس N زائد واحد من عند N تسوى
+
+435
+00:46:59,490 --> 00:47:05,730
+واحد إلى انفينيته ماشي الحل بدي أبدأ من عند ال
+
+436
+00:47:05,730 --> 00:47:12,210
+zero كويس يبجى بدي أشيل كل N و أحط مكانهان زائد
+
+437
+00:47:12,210 --> 00:47:19,290
+اتنين او اتن زائد واحد ان زائد واحد بيصير ن زائد
+
+438
+00:47:19,290 --> 00:47:25,270
+واحد زائد واحد بيصير ن زائد اتنين يعني هذا اذا بدك
+
+439
+00:47:25,270 --> 00:47:29,710
+شياها بالشكل هذا بقوله summation من عند n equal
+
+440
+00:47:29,710 --> 00:47:34,590
+zero to infinity لنقص اتنين على تلاتة واس ان زائد
+
+441
+00:47:34,590 --> 00:47:41,680
+اتنين بهذا الشكل طيب امتازكداش الحد الأول في هذه
+
+442
+00:47:41,680 --> 00:47:42,900
+السنة؟ واحد
+
+443
+00:47:47,180 --> 00:47:53,580
+تمام او كما قال سالب اتنين ع تلاتة لكل تربية حط ن
+
+444
+00:47:53,580 --> 00:47:58,440
+ب zero بظل سالب اتنين ع تلاتة لكل تربية مش زي اللي
+
+445
+00:47:58,440 --> 00:48:02,060
+جابله واحد وامشي و الله تمانية و الله خمسة زي ما
+
+446
+00:48:02,060 --> 00:48:06,120
+قالت في بعض المسائل يبقى دير بالك بنجيب هذا السؤال
+
+447
+00:48:06,120 --> 00:48:10,820
+في الخيارات المتعددة نعطيك geometric series ونقولك
+
+448
+00:48:10,820 --> 00:48:15,240
+المجموع تبعها يساويو نحط لك عدة خيارات يبقى إذا
+
+449
+00:48:15,240 --> 00:48:20,000
+غلطت في الحد الأول ضيعت الخيار تبعك تمام؟ يبقى
+
+450
+00:48:20,000 --> 00:48:25,120
+ضروري تدققلي على شكل الحد الأول يبقى هذا ال first
+
+451
+00:48:25,120 --> 00:48:30,460
+term هو عبارة عن سالبين ع تلاتة لكل تربية هاي
+
+452
+00:48:30,460 --> 00:48:38,260
+مظبوط؟ شكل الحد الأول؟ يبقى له أربعة أتساع يبقى
+
+453
+00:48:38,260 --> 00:48:42,740
+باجي بقوله هذه conversion لضعيفينيبقى convert
+
+454
+00:48:42,740 --> 00:48:51,340
+geometric series because absolute value للارض
+
+455
+00:48:51,340 --> 00:48:57,100
+absolute value لسالي طولتين يعني طولتين أقل من
+
+456
+00:48:57,100 --> 00:49:01,740
+الواحد الصحيح مدام أقل من الواحد الصحيح أختمنا
+
+457
+00:49:01,740 --> 00:49:07,790
+عليها بإنها convertبدا نوجد المجموعة تبعها يبقى
+
+458
+00:49:07,790 --> 00:49:14,630
+its sum المجموعة تبعها its يساوى الحد الأول بيدا
+
+459
+00:49:14,630 --> 00:49:19,790
+كسبوه لك زي ما هو مشان ماتغلطش هسالب اتنين على
+
+460
+00:49:19,790 --> 00:49:26,410
+تلاتة لكل تربية على واحد ناقص الأساس اللي هو ناقص
+
+461
+00:49:26,410 --> 00:49:34,420
+تلتين فبنقول هذا كويس هذا بيصير أربع على تسعةهذا
+
+462
+00:49:34,420 --> 00:49:42,020
+واحد زائد تلتين يعني خمسة على تلاتة يبقى هذا خمسة
+
+463
+00:49:42,020 --> 00:49:49,180
+على تلاتة يعني أربعة تسعة مضروبة في تلتة خمسة على
+
+464
+00:49:49,180 --> 00:49:53,860
+التلاتة فيها الواحد على التلاتة فيها التلاتة يبقى
+
+465
+00:49:53,860 --> 00:49:59,500
+بصير عندك أربعة على تلاتة في خمسة بخمستاشر مجموع
+
+466
+00:49:59,500 --> 00:50:05,460
+ال seriesتمام؟ لازمنا في هذا ال section و لما
+
+467
+00:50:05,460 --> 00:50:10,480
+ننتهي بعد و ان شاء الله المرة الجاية بنكمل هذا ال
+
+468
+00:50:10,480 --> 00:50:16,120
+section و بنعطيك ال exercises ان شاء الله تعالى
+